Расчёт полей тороидально намагниченного цилиндра в опыте Дейны (опыт Николаева номер 31)

А.Ю.Дроздов

С.А. Дейна в ролике "Магниты Второе магнитное поле Николаева 4" https://www.youtube.com/watch?v=A2Lx-ONcMow (Текстовое писание ролика https://drive.google.com/file/d/0B-MmD2EU7WEbV3VCR0NvLXl6Rm8/view) представил опыт с взаимодействием двух соосно расположенных цилиндров со сверлением, тороидально намагничиваемых путём пропускания тока по проводу проходящему внутри сверлений.

Сама идея этого опыта принадлежит Г.Николаеву, который утверждал, что притяжения цилиндров противоречит классической электродинамике и для обьяснения притяжения цилиндров постулировал существование продольной силы Николаева, кроме традиционной силы Лоренца

В данной же работе, пользуясь матаппаратом классической электродинамики, я представляю расчёт полей тороидально намагниченного цилиндра, а также вычисляю силу их взаимодействия: силу Лоренца и силу Николаева.

Вводим цилиндрическую систему координат, в которой (вслед за Таммом) индексом $j$ обозначаем координаты молекулярных токов намагниченного цилиндра, а индексом $a$ обозначаем координаты точек наблюдения

zj = var("zj")
za = var("za")
rj = var("rj")
ra = var("ra")
phi = var("phi")

assume(rj>0)
assume(ra>0)

Введём переменные - пределы интегрирования по координатам молекулярных токов

zj1 = var("zj1") # левый торец цилиндра
zj2 = var("zj2") # правый торец цилиндра

rj1 = var("rj1") # радиус внутренней поверхности (сверления) цилиндра
rj2 = var("rj2") # радиус внешней цилиндрической поверхности цилиндра

Задаём размеры цилиндров в сантиметрах. Размеры цилиндров: диаметр 30 мм, длина 30 мм, диаметр внутреннего сверления 6 мм.

# sizes of cylinders in Deyna's video
Zj1 = -1.5
Zj2 =  1.5
Rj1 = 0.3
Rj2 = 1.5

Ra1 = Rj1
Ra2 = Rj2

DZ = Zj2 - Zj1

line_thick = 0.005
arr_l = 0.15
arr_h = 0.025
color = "green"

def draw_cylinder(z0 = 0):
    p  = line ([[z0 + Zj1,      Rj2                 ], [z0 + Zj2,Rj2]], color = color)
    p += line ([[z0 + Zj2-arr_l,Rj2+arr_h           ], [z0 + Zj2,Rj2]], color = color)
    p += line ([[z0 + Zj2-arr_l,Rj2-arr_h-line_thick], [z0 + Zj2,Rj2-line_thick]], color = color)

    p += line ([[z0 + Zj2,      Rj2                 ], [z0 + Zj2,Rj1]], color = color, linestyle="dashed")
    p += line ([[z0 + Zj2-arr_h,Rj1+arr_l           ], [z0 + Zj2,Rj1]], color = color)
    p += line ([[z0 + Zj2+arr_h,Rj1+arr_l           ], [z0 + Zj2,Rj1]], color = color)

    p += line ([[z0 + Zj2,      Rj1                 ], [z0 + Zj1,Rj1]], color = color)
    p += line ([[z0 + Zj1+arr_l,Rj1+arr_h           ], [z0 + Zj1,Rj1]], color = color)
    p += line ([[z0 + Zj1+arr_l,Rj1-arr_h-line_thick], [z0 + Zj1,Rj1-line_thick]], color = color)

    p += line ([[z0 + Zj1,      Rj1                 ], [z0 + Zj1,Rj2]], color = color, linestyle="dashed")
    p += line ([[z0 + Zj1-arr_h,Rj2-arr_l           ], [z0 + Zj1,Rj2]], color = color)
    p += line ([[z0 + Zj1+arr_h,Rj2-arr_l           ], [z0 + Zj1,Rj2]], color = color)


    p += line ([[z0 + Zj1,      -Rj2                 ], [z0 + Zj2,-Rj2]], color = color)
    p += line ([[z0 + Zj2-arr_l,-Rj2+arr_h           ], [z0 + Zj2,-Rj2]], color = color)
    p += line ([[z0 + Zj2-arr_l,-Rj2-arr_h-line_thick], [z0 + Zj2,-Rj2-line_thick]], color = color)

    p += line ([[z0 + Zj2,      -Rj2                 ], [z0 + Zj2,-Rj1]], color = color, linestyle="dashed")
    p += line ([[z0 + Zj2-arr_h,-Rj1-arr_l           ], [z0 + Zj2,-Rj1]], color = color)
    p += line ([[z0 + Zj2+arr_h,-Rj1-arr_l           ], [z0 + Zj2,-Rj1]], color = color)


    p += line ([[z0 + Zj2,      -Rj1                 ], [z0 + Zj1,-Rj1]], color = color)
    p += line ([[z0 + Zj1+arr_l,-Rj1+arr_h           ], [z0 + Zj1,-Rj1]], color = color)
    p += line ([[z0 + Zj1+arr_l,-Rj1-arr_h-line_thick], [z0 + Zj1,-Rj1-line_thick]], color = color)

    p += line ([[z0 + Zj1,      -Rj1                 ], [z0 + Zj1,-Rj2]], color = color, linestyle="dashed")
    p += line ([[z0 + Zj1-arr_h,-Rj2+arr_l           ], [z0 + Zj1,-Rj2]], color = color)
    p += line ([[z0 + Zj1+arr_h,-Rj2+arr_l           ], [z0 + Zj1,-Rj2]], color = color)


    p += ellipse((z0 + Zj1, 0), (Rj1)/4, (Rj1), color = color)
    p += ellipse((z0 + Zj1, 0), (Rj2)/4, (Rj2), color = color)

    p += arc((z0 + Zj2, 0), (Rj1)/4, (Rj1), sector=(-pi/2,pi/2), color = color)
    p += arc((z0 + Zj2, 0), (Rj2)/4, (Rj2), sector=(-pi/2,pi/2), color = "green")

    p += arc((z0 + Zj2, 0), (Rj1)/4, (Rj1), sector=(pi/2,3*pi/2), color = color, linestyle="dashed")
    p += arc((z0 + Zj2, 0), (Rj2)/4, (Rj2), sector=(pi/2,3*pi/2), color = color, linestyle="dashed")
    
    return p

p = draw_cylinder()
p += draw_cylinder(z0 = -DZ-1.0)
p.show(aspect_ratio = 1, axes=True)

Следуя Тамму, обозначаем вектор намагниченности цилиндра через $I$. В данном расчёте предположим, что цилиндр имеет только $\varphi$-тую компоненту намагниченности и величина этой намагниченности постоянна в объёме ($I_{\varphi} = const$).

Для поверхностного тока у Тамма можно почерпнуть формулу $js = c \cdot [I \times n]$ (параграф 61. Векторный потенциал магнитного поля при наличии магнентиков. Средняя плотность объёмных и поверхностных токов. Уравнение 61.10 - случай для вакуума) Для объёмного тока - формулу $jv = c \cdot rot(I)$ (там же, уравнение 61.9)

В работе http://liquidcrystalosmos.narod.ru/deyna_cylinders_nikolaevs_experiment_31.htm было показано, что при равномерной тороидальной намагниченности цилиндра средняя плотность объёмных токов в данной конфигурации имеет только лишь $z$ компоненту, которая по модулю обратно пропорциональна радиус координате цилиндрической системы.

К этому же выводу можно прийти взяв ротор от $I$ при условии $I_{\varphi} = const$ в цилиндрических координатах

c = var("c")    # скорость света
I0 = var("I0")  # намагниченность
js = c * I0     # плотность поверхностного тока на внутренней и внешней цилиндрической поверхностях цилиндра
                # js(rj1) = - c * I0
                # js(rj2) = + c * I0
jt = c * I0     # плотность поверхностного тока на торцах цилиндра
                # jt(zj1) = + c * I0
                # jt(zj2) = - c * I0
jv = - c * I0 / rj # плотность объёмного тока

z_j = var("z_j")
z_a = var("z_a")
r_j = var("r_j")
r_a = var("r_a")
I_0 = var("I_0")  # намагниченность

latex_subs = [I0 == I_0, ra==r_a, za==z_a, zj==z_j, rj==r_j]

Зная среднюю плотность объёмных и поверхностных токов можно вычислить векторный потенциал магнитного поля тороидально намагниченного цилиндра. Следуя Тамму

$A=\frac{1}{c}\int{\frac{j_v}{R}}d{V}+\frac{1}{c}\int{\frac{j_s}{R}}d{S}$

Распишем в этом интеграле отдельно интегрирование по торцам и по цилиндрическим поверхностям

$A=\frac{1}{c}\int{\frac{j_v}{R}}d{V}+\frac{1}{c}\int{\frac{j_s}{R}}d{S_{s}}+\frac{1}{c}\int{\frac{j_t}{R}}d{S_{t}}$

В цилиндрической системе координат интегрирование по объёму цилиндра

$A_V=\frac{1}{c}\int{\frac{j_v}{R}}d{V}=\frac{1}{c}\int\limits_{{{r}_{j}}}\int\limits_{{{\varphi}_{j}}}\int\limits_{{{z}_{j}}} {\frac{j_v \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{z}_{j}}d{{\varphi }_{j}}d{{r}_{j}}$

интегрирование по цилиндрическим поверхностям цилиндра

$A_S=\frac{1}{c}\int{\frac{j_s}{R}}d{S_{s}}=\frac{1}{c}\int\limits_{{{\varphi}_{j}}}\int\limits_{{{z}_{j}}} {\frac{j_s \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{z}_{j}}d{{\varphi }_{j}}$

интегрирование по торцевым поверхностям цилиндра

$A_T=\frac{1}{c}\int{\frac{j_t}{R}}d{S_{t}}=\frac{1}{c}\int\limits_{{{r}_{j}}}\int\limits_{{{\varphi}_{j}}} {\frac{j_t \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi }_{j}}d{{r}_{j}}$

Во всех этих трёх интегралах нам потребуется интеграл $\int\limits_{0}^{2\pi}{\frac{1}{R}}d{\varphi}$ - обратного расстояния между точкой истока и точкой наблюдения в цилиндрической системе координат, проинтегрированный по координатному углу phi точек истока от нуля до $2\pi$

$R=\sqrt{(r_j\,sin(\varphi_j)-r_a\,sin(\varphi_a))^2+(r_j\,cos(\varphi_j)-r_a\,cos(\varphi_a))^2+(z_j-z_a)^2}$

Ввиду цилиндрической симметрии и ввиду того что

$\frac{\partial A}{\partial \varphi_a} = 0$

нам не потребуется дифференцирование векторного потенциала по $\varphi_a$ координате точек наблюдения, можно упростить расчёт полагая, что $\varphi_a = 0$, тогда

$R=\sqrt{r_j^2+r_a^2-2\,r_j\,r_a\,cos(\varphi_j)+(z_j-z_a)^2}$

В таком случае интеграл $IRphi=\int\limits_{0}^{2\pi}{\frac{1}{R}}d{\varphi_j}$ выражается через полный эллиптический интеграл первого рода следующим образом:

from IPython.display import display, Math, Latex

rja2 = (rj-ra)^2+(zj-za)^2
module = - 4*rj*ra / rja2
IRphi=4*elliptic_kc(module) / sqrt(rja2)
display(Math("$$IR_{\\varphi} =" + latex(IRphi.subs(latex_subs)) + "$$"))

$$IR_{\varphi} = \frac{4 \, K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}} $$

z_j1 = var("z_j1") # левый торец цилиндра
z_j2 = var("z_j2") # правый торец цилиндра

r_j1 = var("r_j1") # радиус внутренней поверхности (сверления) цилиндра
r_j2 = var("r_j2") # радиус внешней цилиндрической поверхности цилиндра

latex_subs += [zj1 == z_j1, zj2==z_j2, rj1==r_j1, rj2==r_j2]

вспомогательные переменные для интегрирования источников векторного потенциала по поверхностным и объёмным токам

Интеграл по ${\varphi}_{j}$ векторного потенциала, создаваемого элементарным объёмом ${{r}_{j}}\,d{{\varphi}_{j}}d{r_j}d{z_j}$ цилиндра

$A_v=\frac{1}{c}\int\limits_{{{\varphi}_{j}}} {\frac{j_v \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi}_{j}}$

Интеграл по ${\varphi}_{j}$ векторного потенциала, создаваемого элементом площади ${{r}_{j}}\,d{{\varphi}_{j}}d{z_j}$ цилиндрической поверхности цилиндра

$A_s=\frac{1}{c}\int\limits_{{{\varphi}_{j}}} {\frac{j_s \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi}_{j}}$

Интеграл по ${\varphi}_{j}$ векторного потенциала, создаваемого элементом площади ${{r}_{j}}\,d{{\varphi}_{j}}d{r_j}$ торцевой поверхности цилиндра

$A_t=\frac{1}{c}\int\limits_{{{\varphi}_{j}}} {\frac{j_t \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi }_{j}}$

As=IRphi*js*rj/c
display(Math("$$A_s =" + latex(As.subs(latex_subs)) + "$$"))

At=IRphi*jt*rj/c
display(Math("$$A_t =" + latex(At.subs(latex_subs)) + "$$"))

Av=IRphi*jv*rj/c
display(Math("$$A_v =" + latex(Av.subs(latex_subs)) + "$$"))

$$A_s = \frac{4 \, I_{0} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}} $$

$$A_t = \frac{4 \, I_{0} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}} $$

$$A_v = -\frac{4 \, I_{0} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}} $$

Рассчитаем производную векторного потенциала, создаваемого торцевым поверхностным током, по $z_a$ координате точки наблюдения $\frac{\partial}{\partial z_a} A_t = \frac{\partial}{\partial z_a}\int\limits_{{{\varphi}_{j}}} {\frac{j_t \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi }_{j}}$

At_diff_za_ = lambda I0, r_j, r_a, z_j, z_a : (At.diff(za)).substitute(ra==r_a).substitute(za==z_a).substitute(zj==z_j).substitute(rj==r_j)

Итак, производная векторного потенциала, создаваемого торцевым поверхностным током, заключённом в плоском кольце толщиной $dr_j$ с радиусом $r_j$, по $z_a$ координате точки наблюдения

display(Math("$$\\frac{\\partial}{\\partial z_a} A_t(I_0, rj, ra, zj, za) = " + latex(At_diff_za_(I0, rj, ra, zj, za).subs(latex_subs)) + "$$"))

$$\frac{\partial}{\partial z_a} A_t(I_0, rj, ra, zj, za) = -\frac{4 \, I_{0} r_{j} {\left(z_{a} - z_{j}\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} + \frac{4 \, {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} r_{j} {\left(z_{a} - z_{j}\right)}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}} $$

exec(preparse("At_diff_za = lambda I0, rj, ra, zj, za : " + str(At_diff_za_(I0, rj, ra, zj, za))))

print (At_diff_za (I0, rj, ra, zj, za))

-4*I0*rj*(za - zj)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2))/((ra - rj)^2 + (za - zj)^2)^(3/2) + 4*((4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))*I0*rj*(za - zj)/(((ra - rj)^2 + (za - zj)^2)^(3/2)*(4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1))

display(Math(latex(At_diff_za (I0, rj, ra, zj, za).subs(latex_subs))))

$$-\frac{4 \, I_{0} r_{j} {\left(z_{a} - z_{j}\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} + \frac{4 \, {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} r_{j} {\left(z_{a} - z_{j}\right)}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}}$$

Учитывая положительное направление поверхностного тока в левом торце и отрицательное направление поверхностного тока в правом торце составим сумму полученной производной для обоих торцов

At2_diff_za_ = lambda I0, rj, ra, zj1, zj2, za : At_diff_za_(I0, rj, ra, zj1, za) - At_diff_za_(I0, rj, ra, zj2, za)

Итак, производная векторного потенциала, создаваемого торцевым поверхностным током обоих торцов, заключённом в двух плоских кольцах толщиной $dr_{j}$ и радиуса $r_{j}$, по $z$ координате точки наблюдения

exec(preparse("At2_diff_za = lambda I0, rj, ra, zj1, zj2, za : " + str(At2_diff_za_(I0, rj, ra, zj1, zj2, za))))

print(At2_diff_za (I0, rj, ra, zj1, zj2, za))

-4*I0*rj*(za - zj1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2))/((ra - rj)^2 + (za - zj1)^2)^(3/2) + 4*I0*rj*(za - zj2)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2))/((ra - rj)^2 + (za - zj2)^2)^(3/2) + 4*((4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)))*I0*rj*(za - zj1)/(((ra - rj)^2 + (za - zj1)^2)^(3/2)*(4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)) - 4*((4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)))*I0*rj*(za - zj2)/(((ra - rj)^2 + (za - zj2)^2)^(3/2)*(4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1))

display(Math(latex(At2_diff_za (I0, rj, ra, zj1, zj2, za).subs(latex_subs))))

$$-\frac{4 \, I_{0} r_{j} {\left(z_{a} - z_{j_{1}}\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}\right)}^{\frac{3}{2}}} + \frac{4 \, I_{0} r_{j} {\left(z_{a} - z_{j_{2}}\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}\right)}^{\frac{3}{2}}} + \frac{4 \, {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}}\right)\right)} I_{0} r_{j} {\left(z_{a} - z_{j_{1}}\right)}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}\right)}^{\frac{3}{2}} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}} + 1\right)}} - \frac{4 \, {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}}\right)\right)} I_{0} r_{j} {\left(z_{a} - z_{j_{2}}\right)}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}\right)}^{\frac{3}{2}} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}} + 1\right)}}$$

Рассчитаем производную векторного потенциала, создаваемого торцевым поверхностным током, по $r_a$ координате точки наблюдения $\frac{1}{r_a}\frac{\partial}{\partial r_a}\left(r_a\,A_t\right) = \frac{1}{r_a}\frac{\partial}{\partial r_a}\left(r_a\,\int\limits_{{{\varphi}_{j}}} {\frac{j_t \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi }_{j}}\right)$

At_ra_diff_ra_div_ra_ = lambda I0, r_j, r_a, z_j, z_a : ((ra*At).diff(ra)/ra).substitute(ra==r_a).substitute(za==z_a).substitute(zj==z_j).substitute(rj==r_j)

Итак, производная векторного потенциала, создаваемого торцевым поверхностным током, заключённом в плоском кольце толщиной $dr_j$ с радиусом $r_j$, по $r_a$ координате точки наблюдения

display(Math("$$\\frac{1}{r_a}\\frac{\\partial}{\\partial r_a}\\left(r_a\\, A_t(I_0, rj, ra, zj, za)\\right) = " + latex(At_ra_diff_ra_div_ra_(I0, rj, ra, zj, za).subs(latex_subs)) + "$$"))

$$\frac{1}{r_a}\frac{\partial}{\partial r_a}\left(r_a\, A_t(I_0, rj, ra, zj, za)\right) = -\frac{2 \, {\left(\frac{2 \, I_{0} {\left(r_{a} - r_{j}\right)} r_{a} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} {\left(\frac{2 \, {\left(r_{a} - r_{j}\right)} r_{a} r_{j}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{2}} - \frac{r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}}{\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1} - \frac{2 \, I_{0} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}}\right)}}{r_{a}} $$

exec(preparse("At_ra_diff_ra_div_ra = lambda I0, rj, ra, zj, za : " + str(At_ra_diff_ra_div_ra_(I0, rj, ra, zj, za))))

print (At_ra_diff_ra_div_ra (I0, rj, ra, zj, za))

-2*(2*I0*(ra - rj)*ra*rj*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2))/((ra - rj)^2 + (za - zj)^2)^(3/2) - sqrt((ra - rj)^2 + (za - zj)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj)^2)^2 - rj/((ra - rj)^2 + (za - zj)^2))/(4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1) - 2*I0*rj*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2))/sqrt((ra - rj)^2 + (za - zj)^2))/ra

display(Math(latex(At_ra_diff_ra_div_ra (I0, rj, ra, zj, za).subs(latex_subs))))

$$-\frac{2 \, {\left(\frac{2 \, I_{0} {\left(r_{a} - r_{j}\right)} r_{a} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} {\left(\frac{2 \, {\left(r_{a} - r_{j}\right)} r_{a} r_{j}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{2}} - \frac{r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}}{\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1} - \frac{2 \, I_{0} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}}\right)}}{r_{a}}$$

Учитывая положительное направление поверхностного тока в левом торце и отрицательное направление поверхностного тока в правом торце составим сумму полученной производной для обоих торцов

At2_ra_diff_ra_div_ra_ = lambda I0, rj, ra, zj1, zj2, za : At_ra_diff_ra_div_ra_(I0, rj, ra, zj1, za) - At_ra_diff_ra_div_ra_(I0, rj, ra, zj2, za)

#str(At2_ra_diff_ra_div_ra_(I0, rj, ra, zj1, zj2, za))

Итак, производная векторного потенциала, создаваемого торцевым поверхностным током обоих торцов, заключённом в двух плоских кольцах толщиной $dr_{j}$ и радиуса $r_{j}$, по $r$ координате точки наблюдения

exec(preparse("At2_ra_diff_ra_div_ra = lambda I0, rj, ra, zj1, zj2, za : " + str(At2_ra_diff_ra_div_ra_(I0, rj, ra, zj1, zj2, za))))

print(At2_ra_diff_ra_div_ra (I0, rj, ra, zj1, zj2, za))

-2*(2*I0*(ra - rj)*ra*rj*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2))/((ra - rj)^2 + (za - zj1)^2)^(3/2) - sqrt((ra - rj)^2 + (za - zj1)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj1)^2)^2 - rj/((ra - rj)^2 + (za - zj1)^2))/(4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1) - 2*I0*rj*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2))/sqrt((ra - rj)^2 + (za - zj1)^2))/ra + 2*(2*I0*(ra - rj)*ra*rj*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2))/((ra - rj)^2 + (za - zj2)^2)^(3/2) - sqrt((ra - rj)^2 + (za - zj2)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj2)^2)^2 - rj/((ra - rj)^2 + (za - zj2)^2))/(4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1) - 2*I0*rj*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2))/sqrt((ra - rj)^2 + (za - zj2)^2))/ra

display(Math(latex(At2_ra_diff_ra_div_ra (I0, rj, ra, zj1, zj2, za).subs(latex_subs))))

$$-\frac{2 \, {\left(\frac{2 \, I_{0} {\left(r_{a} - r_{j}\right)} r_{a} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}} {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}}\right)\right)} I_{0} {\left(\frac{2 \, {\left(r_{a} - r_{j}\right)} r_{a} r_{j}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}\right)}^{2}} - \frac{r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}}\right)}}{\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}} + 1} - \frac{2 \, I_{0} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}}\right)}{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{1}}\right)}^{2}}}\right)}}{r_{a}} + \frac{2 \, {\left(\frac{2 \, I_{0} {\left(r_{a} - r_{j}\right)} r_{a} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}} {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}}\right)\right)} I_{0} {\left(\frac{2 \, {\left(r_{a} - r_{j}\right)} r_{a} r_{j}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}\right)}^{2}} - \frac{r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}}\right)}}{\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}} + 1} - \frac{2 \, I_{0} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}}\right)}{\sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j_{2}}\right)}^{2}}}\right)}}{r_{a}}$$

Рассчитаем производную векторного потенциала, создаваемого поверхностным током цилиндрической поверхности, по $r_a$ координате точки наблюдения $\frac{\partial}{\partial r_a} A_s = \frac{\partial}{\partial r_a}\int\limits_{{{\varphi}_{j}}} {\frac{j_s \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi }_{j}}$

As_diff_ra_ = lambda I0, r_j, r_a, z_j, z_a : (As.diff(ra)).substitute(ra==r_a).substitute(za==z_a).substitute(zj==z_j).substitute(rj==r_j)

Итак, производная векторного потенциала, создаваемого поверхностным током цилиндрической поверхности радиуса $r_{j}$, заключённой в поверхностном кольце шириной $dz_{j}$ c координатой $z_{j}$, по $r$ координате точки наблюдения

display(Math("$$\\frac{\\partial}{\\partial r_a} A_s (I0, rj, ra, zj, za) = " + latex(As_diff_ra_(I0, rj, ra, zj, za).subs(latex_subs)) + "$$"))

$$\frac{\partial}{\partial r_a} A_s (I0, rj, ra, zj, za) = -\frac{4 \, I_{0} {\left(r_{a} - r_{j}\right)} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, \sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} {\left(\frac{2 \, {\left(r_{a} - r_{j}\right)} r_{a} r_{j}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{2}} - \frac{r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}}{r_{a} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}} $$

exec(preparse("As_diff_ra = lambda I0, rj, ra, zj, za : " + str(As_diff_ra_(I0, rj, ra, zj, za))))

print(As_diff_ra (I0, rj, ra, zj, za))

-4*I0*(ra - rj)*rj*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2))/((ra - rj)^2 + (za - zj)^2)^(3/2) + 2*sqrt((ra - rj)^2 + (za - zj)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj)^2)^2 - rj/((ra - rj)^2 + (za - zj)^2))/(ra*(4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1))

display(Math(latex(As_diff_ra (I0, rj, ra, zj, za).subs(latex_subs))))

$$-\frac{4 \, I_{0} {\left(r_{a} - r_{j}\right)} r_{j} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} + \frac{2 \, \sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} {\left(\frac{2 \, {\left(r_{a} - r_{j}\right)} r_{a} r_{j}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{2}} - \frac{r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}}{r_{a} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}}$$

Учитывая отрицательное направление поверхностного тока на внутренней цилиндрической поверхности (в сверлении) и положительное направление поверхностного тока на внешней цилиндрической поверхности составим сумму полученной производной для обоих цилиндрических поверхностей

As2_diff_ra_ = lambda I0, rj1, rj2, ra, zj, za : - As_diff_ra_(I0, rj1, ra, zj, za) + As_diff_ra_(I0, rj2, ra, zj, za)

Итак, производная векторного потенциала, создаваемого поверхностными токами обоих цилиндрических поверхностей, заключённом в двух поверхностных кольцах шириной $dz_{j}$ c координатой $z_{j}$, по $r$ координате точки наблюдения

exec(preparse("As2_diff_ra = lambda I0, rj1, rj2, ra, zj, za : " + str(As2_diff_ra_(I0, rj1, rj2, ra, zj, za))))

print (As2_diff_ra (I0, rj1, rj2, ra, zj, za))

4*I0*(ra - rj1)*rj1*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2))/((ra - rj1)^2 + (za - zj)^2)^(3/2) - 4*I0*(ra - rj2)*rj2*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2))/((ra - rj2)^2 + (za - zj)^2)^(3/2) - 2*sqrt((ra - rj1)^2 + (za - zj)^2)*((4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)))*I0*(2*(ra - rj1)*ra*rj1/((ra - rj1)^2 + (za - zj)^2)^2 - rj1/((ra - rj1)^2 + (za - zj)^2))/(ra*(4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)) + 2*sqrt((ra - rj2)^2 + (za - zj)^2)*((4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)))*I0*(2*(ra - rj2)*ra*rj2/((ra - rj2)^2 + (za - zj)^2)^2 - rj2/((ra - rj2)^2 + (za - zj)^2))/(ra*(4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1))

display(Math(latex(As2_diff_ra (I0, rj1, rj2, ra, zj, za).subs(latex_subs))))

$$\frac{4 \, I_{0} {\left(r_{a} - r_{j_{1}}\right)} r_{j_{1}} K\left(-\frac{4 \, r_{a} r_{j_{1}}}{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{4 \, I_{0} {\left(r_{a} - r_{j_{2}}\right)} r_{j_{2}} K\left(-\frac{4 \, r_{a} r_{j_{2}}}{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, \sqrt{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} {\left({\left(\frac{4 \, r_{a} r_{j_{1}}}{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j_{1}}}{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j_{1}}}{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} {\left(\frac{2 \, {\left(r_{a} - r_{j_{1}}\right)} r_{a} r_{j_{1}}}{{\left({\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{2}} - \frac{r_{j_{1}}}{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}}{r_{a} {\left(\frac{4 \, r_{a} r_{j_{1}}}{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}} + \frac{2 \, \sqrt{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} {\left({\left(\frac{4 \, r_{a} r_{j_{2}}}{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j_{2}}}{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j_{2}}}{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} {\left(\frac{2 \, {\left(r_{a} - r_{j_{2}}\right)} r_{a} r_{j_{2}}}{{\left({\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{2}} - \frac{r_{j_{2}}}{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}}{r_{a} {\left(\frac{4 \, r_{a} r_{j_{2}}}{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}}$$

Рассчитаем производную векторного потенциала, создаваемого поверхностным током цилиндрической поверхности, по $z_a$ координате точки наблюдения $\frac{\partial}{\partial z_a} A_s = \frac{\partial}{\partial z_a}\int\limits_{{{\varphi}_{j}}} {\frac{j_s \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi }_{j}}$

As_diff_za_ = lambda I0, r_j, r_a, z_j, z_a : (As.diff(za)).substitute(ra==r_a).substitute(za==z_a).substitute(zj==z_j).substitute(rj==r_j)

Итак, производная векторного потенциала, создаваемого поверхностным током цилиндрической поверхности радиуса $r_{j}$, заключённой в поверхностном кольце шириной $dz_{j}$ c координатой $z_{j}$, по $z$ координате точки наблюдения

display(Math("$$\\frac{\\partial}{\\partial z_a} A_s (I0, rj, ra, zj, za) = " + latex(As_diff_za_(I0, rj, ra, zj, za).subs(latex_subs)) + "$$"))

$$\frac{\partial}{\partial z_a} A_s (I0, rj, ra, zj, za) = -\frac{4 \, I_{0} r_{j} {\left(z_{a} - z_{j}\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} + \frac{4 \, {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} r_{j} {\left(z_{a} - z_{j}\right)}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}} $$

exec(preparse("As_diff_za = lambda I0, rj, ra, zj, za : " + str(As_diff_za_(I0, rj, ra, zj, za))))

print(As_diff_za (I0, rj, ra, zj, za))

-4*I0*rj*(za - zj)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2))/((ra - rj)^2 + (za - zj)^2)^(3/2) + 4*((4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))*I0*rj*(za - zj)/(((ra - rj)^2 + (za - zj)^2)^(3/2)*(4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1))

display(Math(latex(As_diff_za (I0, rj, ra, zj, za).subs(latex_subs))))

$$-\frac{4 \, I_{0} r_{j} {\left(z_{a} - z_{j}\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} + \frac{4 \, {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} r_{j} {\left(z_{a} - z_{j}\right)}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}}$$

Учитывая отрицательное направление поверхностного тока на внутренней цилиндрической поверхности (в сверлении) и положительное направление поверхностного тока на внешней цилиндрической поверхности составим сумму полученной производной для обоих цилиндрических поверхностей

As2_diff_za_ = lambda I0, rj1, rj2, ra, zj, za : - As_diff_za_(I0, rj1, ra, zj, za) + As_diff_za_(I0, rj2, ra, zj, za)

Итак, производная векторного потенциала, создаваемого поверхностными токами обоих цилиндрических поверхностей, заключённом в двух поверхностных кольцах шириной $dz_{j}$ c координатой $z_{j}$, по $z$ координате точки наблюдения

exec(preparse("As2_diff_za = lambda I0, rj1, rj2, ra, zj, za : " + str(As2_diff_za_(I0, rj1, rj2, ra, zj, za))))

print (As2_diff_za (I0, rj1, rj2, ra, zj, za))

4*I0*rj1*(za - zj)*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2))/((ra - rj1)^2 + (za - zj)^2)^(3/2) - 4*I0*rj2*(za - zj)*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2))/((ra - rj2)^2 + (za - zj)^2)^(3/2) - 4*((4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)))*I0*rj1*(za - zj)/(((ra - rj1)^2 + (za - zj)^2)^(3/2)*(4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)) + 4*((4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)))*I0*rj2*(za - zj)/(((ra - rj2)^2 + (za - zj)^2)^(3/2)*(4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1))

display(Math(latex(As2_diff_za (I0, rj1, rj2, ra, zj, za).subs(latex_subs))))

$$\frac{4 \, I_{0} r_{j_{1}} {\left(z_{a} - z_{j}\right)} K\left(-\frac{4 \, r_{a} r_{j_{1}}}{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{4 \, I_{0} r_{j_{2}} {\left(z_{a} - z_{j}\right)} K\left(-\frac{4 \, r_{a} r_{j_{2}}}{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{4 \, {\left({\left(\frac{4 \, r_{a} r_{j_{1}}}{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j_{1}}}{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j_{1}}}{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} r_{j_{1}} {\left(z_{a} - z_{j}\right)}}{{\left({\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}} {\left(\frac{4 \, r_{a} r_{j_{1}}}{{\left(r_{a} - r_{j_{1}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}} + \frac{4 \, {\left({\left(\frac{4 \, r_{a} r_{j_{2}}}{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j_{2}}}{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j_{2}}}{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} r_{j_{2}} {\left(z_{a} - z_{j}\right)}}{{\left({\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}} {\left(\frac{4 \, r_{a} r_{j_{2}}}{{\left(r_{a} - r_{j_{2}}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}}$$

Теперь необходимо составить производную векторного потенциала, создаваемого объёмным током поверхности, по $r_a$ координате точки наблюдения $\frac{\partial}{\partial r_a} A_v = \frac{\partial}{\partial r_a}\int\limits_{{{\varphi}_{j}}} {\frac{j_v \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi }_{j}}$

Av_diff_ra_ = lambda I0, r_j, r_a, z_j, z_a : (Av.diff(ra)).substitute(ra==r_a).substitute(za==z_a).substitute(zj==z_j).substitute(rj==r_j)

Итак, производная векторного потенциала, создаваемого объёмным током, заключённом в объёмном кольце шириной $dz_{j}$ c координатой $z_{j}$ и толщиной $dr_{j}$ и радиуса $r_j$, по $r$ координате точки наблюдения

display(Math("$$\\frac{\\partial}{\\partial r_a} A_v (I0, rj, ra, zj, za) =" + latex(Av_diff_ra_(I0, rj, ra, zj, za).subs(latex_subs)) + "$$"))

$$\frac{\partial}{\partial r_a} A_v (I0, rj, ra, zj, za) = \frac{4 \, I_{0} {\left(r_{a} - r_{j}\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, \sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} {\left(\frac{2 \, {\left(r_{a} - r_{j}\right)} r_{a} r_{j}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{2}} - \frac{r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}}{r_{a} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} r_{j}} $$

exec(preparse("Av_diff_ra = lambda I0, rj, ra, zj, za : " + str(Av_diff_ra_(I0, rj, ra, zj, za))))

print (Av_diff_ra (I0, rj, ra, zj, za))

4*I0*(ra - rj)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2))/((ra - rj)^2 + (za - zj)^2)^(3/2) - 2*sqrt((ra - rj)^2 + (za - zj)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj)^2)^2 - rj/((ra - rj)^2 + (za - zj)^2))/(ra*(4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*rj)

display(Math(latex(Av_diff_ra (I0, rj, ra, zj, za).subs(latex_subs))))

$$\frac{4 \, I_{0} {\left(r_{a} - r_{j}\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, \sqrt{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} {\left(\frac{2 \, {\left(r_{a} - r_{j}\right)} r_{a} r_{j}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{2}} - \frac{r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}}{r_{a} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} r_{j}}$$

Теперь необходимо составить производную векторного потенциала, создаваемого объёмным током поверхности, по $z_a$ координате точки наблюдения $\frac{\partial}{\partial z_a} A_v = \frac{\partial}{\partial z_a}\int\limits_{{{\varphi}_{j}}} {\frac{j_v \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi }_{j}}$

Av_diff_za_ = lambda I0, r_j, r_a, z_j, z_a : (Av.diff(za)).substitute(ra==r_a).substitute(za==z_a).substitute(zj==z_j).substitute(rj==r_j)

Итак, производная векторного потенциала, создаваемого объёмным током, заключённом в объёмном кольце шириной $dz_{j}$ c координатой $z_{j}$ и толщиной $dr_{j}$ и радиуса $r_j$, по $z$ координате точки наблюдения

display(Math("$$\\frac{\\partial}{\\partial z_a} A_v (I0, rj, ra, zj, za) =" + latex(Av_diff_za_(I0, rj, ra, zj, za).subs(latex_subs)) + "$$"))

$$\frac{\partial}{\partial z_a} A_v (I0, rj, ra, zj, za) = \frac{4 \, I_{0} {\left(z_{a} - z_{j}\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{4 \, {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} {\left(z_{a} - z_{j}\right)}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}} $$

exec(preparse("Av_diff_za = lambda I0, rj, ra, zj, za : " + str(Av_diff_za_(I0, rj, ra, zj, za))))

print (Av_diff_za (I0, rj, ra, zj, za))

4*I0*(za - zj)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2))/((ra - rj)^2 + (za - zj)^2)^(3/2) - 4*((4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))*I0*(za - zj)/(((ra - rj)^2 + (za - zj)^2)^(3/2)*(4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1))

display(Math(latex(Av_diff_za (I0, rj, ra, zj, za).subs(latex_subs))))

$$\frac{4 \, I_{0} {\left(z_{a} - z_{j}\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}}} - \frac{4 \, {\left({\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)} K\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right) - E\left(-\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}}\right)\right)} I_{0} {\left(z_{a} - z_{j}\right)}}{{\left({\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}\right)}^{\frac{3}{2}} {\left(\frac{4 \, r_{a} r_{j}}{{\left(r_{a} - r_{j}\right)}^{2} + {\left(z_{a} - z_{j}\right)}^{2}} + 1\right)}}$$

Далее нам необходимо определить собственную функцию для численного интегрирования

def get_integrand_view(f):
    return f(x)

class my_dummy_integral:
    f = None
    a = None
    b = None
    def __init__(self, f, a, b):
        print ("my_dummy_integral ", f, a, b)
        self.f = f
        self.a = a
        self.b = b

def num_int(f, a, b):
    from scipy import integrate

    to_call_integration = True

    if type(f) is my_dummy_integral:
        to_call_integration = False

    import inspect
    stack = inspect.stack()
    for frame in stack:
        func_name = frame[3]
        # print ("func_name = ", func_name)
        if ('get_integrand_view' == func_name):
            to_call_integration = False
            break;

    if not to_call_integration:
        return my_dummy_integral(f,a,b)

    try:
        integral = integrate.quad(f, a, b)

        result = integral[0]
        return result

    except Exception as ex:

        print ("Exception ex = ", str(ex))
        print ("f = ", f)
        try:
            print ("integrand = ", get_integrand_view(f))
        except Exception as ex2:
            print ("Exception ex2 = ", ex2)
        print ("a = ", a)
        print ("b = ", b)

        raise ex

        integral = numerical_integral(f, a, b)

        print ("integral = ", integral)

        result = integral[0]
        print ("result = ", result)
        return result

Теперь необходимо производную векторного потенциала, создаваемого объёмным током, заключённом в объёмном кольце шириной $dz_j$ c координатой $z_j$ и толщиной $dr_j$ и радиуса $r_j$, по $r$ координате точки наблюдения - проинтегрировать по радиусу точек истока от $r_{j1}$ до $r_{j2}$

$\frac{\partial}{\partial r_a}\int\limits_{r_{j1}}^{r_{j2}}\int\limits_{{{\varphi}_{j}}} {\frac{j_v \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi }_{j}}d{{r}_{j}}$

AV_diff_ra = lambda I0, rj1, rj2, ra, zj, za : num_int(lambda rj : Av_diff_ra(I0, rj, ra, zj, za), rj1, rj2)

Теперь необходимо производную векторного потенциала, создаваемого объёмным током, заключённом в объёмном кольце шириной $dz_j$ c координатой $z_j$ и толщиной $dr_j$ и радиуса $r_j$, по $z$ координате точки наблюдения - проинтегрировать по радиусу точек истока от $r_{j1}$ до $r_{j2}$

$\frac{\partial}{\partial z_a}\int\limits_{r_{j1}}^{r_{j2}}\int\limits_{{{\varphi}_{j}}} {\frac{j_v \left( {{r}_{j}} \right){{r}_{j}}}{R}\ }d{{\varphi }_{j}}d{{r}_{j}}$

AV_diff_za = lambda I0, rj1, rj2, ra, zj, za : num_int(lambda rj : Av_diff_za(I0, rj, ra, zj, za), rj1, rj2)

Производим подстановку размеров координат правого цилиндра - источника векторного потенциала в формулы производных векторного потенциала

At_diff_za_subs_zj = lambda rj, ra, za : At2_diff_za(1, rj, ra, Zj1, Zj2, za)

At_ra_diff_ra_div_ra_subs_zj = lambda rj, ra, za : At2_ra_diff_ra_div_ra (1, rj, ra, Zj1, Zj2, za)

As_diff_ra_subs_rj = lambda ra, zj, za : As2_diff_ra(1, Rj1, Rj2, ra, zj, za)

As_diff_za_subs_rj = lambda ra, zj, za : As2_diff_za(1, Rj1, Rj2, ra, zj, za)

Av_diff_ra_subs_rj = lambda ra, zj, za : AV_diff_ra (1, Rj1, Rj2, ra, zj, za)

Av_diff_za_subs_rj = lambda ra, zj, za : AV_diff_za (1, Rj1, Rj2, ra, zj, za)

Определяем функцию расчёта векторного магнитного поля $H$ (компонента $\varphi$)

$H_{\varphi}=\frac{\partial}{\partial z_a}A_T - \frac{\partial}{\partial r_a}(A_S+A_V)$

def calc_H_phi( At_diff_za_subs_zj, As_diff_ra_subs_rj, Za, Ra):
    At_diff_za_subs_zj_za_ra = lambda rj : At_diff_za_subs_zj(rj, Ra, Za)
    As_diff_ra_subs_rj_za_ra = lambda zj : As_diff_ra_subs_rj(Ra, zj, Za)

    At_diff_za_num_int = At_diff_za_subs_zj_za_ra(rj).nintegral(rj, Rj1, Rj2)
    As_diff_ra_num_int = As_diff_ra_subs_rj_za_ra(zj).nintegral(zj, Zj1, Zj2)
    Av_diff_ra_num_int = num_int( lambda zj : Av_diff_ra_subs_rj(Ra, zj, Za), Zj1, Zj2)
    As_v_diff_ra_num_int = As_diff_ra_num_int[0] + Av_diff_ra_num_int

    H_phi_t = At_diff_za_num_int[0]
    H_phi_s = - As_v_diff_ra_num_int

    H_phi = H_phi_t + H_phi_s
    print ("Ra =", Ra, "Za =", Za, "H_phi_t =", H_phi_t)
    print ("Ra =", Ra, "Za =", Za, "H_phi_s =", H_phi_s)
    print ("Ra =", Ra, "Za =", Za, "H_phi =", H_phi)

    return (H_phi, H_phi_t, H_phi_s)

Определяем функцию расчёта scalar магнитного поля $H_{||} = -\,div\,\vec{A}$

$H_{||}=-\frac{1}{r_a}\frac{\partial}{\partial r_a}\left(r_a\,A_T\right) - \frac{\partial}{\partial z_a}(A_S+A_V)$

def calc_H_scalar(Za, Ra):
    At_ra_diff_ra_div_ra_subs_zj_za_ra = lambda rj : At_ra_diff_ra_div_ra_subs_zj(rj, Ra, Za)
    As_diff_za_subs_rj_za_ra = lambda zj : As_diff_za_subs_rj(Ra, zj, Za)

    At_ra_diff_ra_div_ra_num_int = At_ra_diff_ra_div_ra_subs_zj_za_ra(rj).nintegral(rj, Rj1, Rj2)
    As_diff_za_num_int = As_diff_za_subs_rj_za_ra(zj).nintegral(zj, Zj1, Zj2)
    Av_diff_za_num_int = num_int( lambda zj : Av_diff_za_subs_rj(Ra, zj, Za), Zj1, Zj2)
    As_v_diff_za_num_int = As_diff_za_num_int[0] + Av_diff_za_num_int

    H_scalar_t = - At_ra_diff_ra_div_ra_num_int[0]
    H_scalar_s = - As_v_diff_za_num_int

    H_scalar = H_scalar_t + H_scalar_s
    print ("Ra =", Ra, "Za =", Za, "H_scalar_t =", H_scalar_t)
    print ("Ra =", Ra, "Za =", Za, "H_scalar_s =", H_scalar_s)
    print ("Ra =", Ra, "Za =", Za, "H_scalar =", H_scalar)

    return (H_scalar, H_scalar_t, H_scalar_s)

Запуск расчёта величины scalar магнитного поля для заданного набора значений зазора между цилиндрами

plot_data_h_scalar = []
plot_data_h_scalar_t = []
plot_data_h_scalar_s = []

Ra = Rj2
for dz in (0.01, 0.02, 0.03, 0.04, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5):
    Za = Zj1 - dz
    h_scalar = calc_H_scalar(Za, Ra)
    plot_data_h_scalar += [(Za, h_scalar[0])]
    plot_data_h_scalar_t += [(Za, h_scalar[1])]
    plot_data_h_scalar_s += [(Za, h_scalar[2])]

Ra = 1.50000000000000 Za = -1.51000000000000 H_scalar_t = 7.284422915563196
Ra = 1.50000000000000 Za = -1.51000000000000 H_scalar_s = -6.987065778047109
Ra = 1.50000000000000 Za = -1.51000000000000 H_scalar   = 0.2973571375160873
Ra = 1.50000000000000 Za = -1.52000000000000 H_scalar_t = 5.917158011863672
Ra = 1.50000000000000 Za = -1.52000000000000 H_scalar_s = -5.621209174742226
Ra = 1.50000000000000 Za = -1.52000000000000 H_scalar   = 0.29594883712144604
Ra = 1.50000000000000 Za = -1.53000000000000 H_scalar_t = 5.125183020870704
Ra = 1.50000000000000 Za = -1.53000000000000 H_scalar_s = -4.8308316306221295
Ra = 1.50000000000000 Za = -1.53000000000000 H_scalar   = 0.2943513902485746
Ra = 1.50000000000000 Za = -1.54000000000000 H_scalar_t = 4.568704528903514
Ra = 1.50000000000000 Za = -1.54000000000000 H_scalar_s = -4.276120101708384
Ra = 1.50000000000000 Za = -1.54000000000000 H_scalar   = 0.29258442719513056
Ra = 1.50000000000000 Za = -1.55000000000000 H_scalar_t = 4.141236752432697
Ra = 1.50000000000000 Za = -1.55000000000000 H_scalar_s = -3.850574769510967
Ra = 1.50000000000000 Za = -1.55000000000000 H_scalar   = 0.29066198292172984
Ra = 1.50000000000000 Za = -1.60000000000000 H_scalar_t = 2.848117277657765
Ra = 1.50000000000000 Za = -1.60000000000000 H_scalar_s = -2.5690663431473677
Ra = 1.50000000000000 Za = -1.60000000000000 H_scalar   = 0.2790509345103973
Ra = 1.50000000000000 Za = -1.70000000000000 H_scalar_t = 1.644030153789241
Ra = 1.50000000000000 Za = -1.70000000000000 H_scalar_s = -1.395786035706978
Ra = 1.50000000000000 Za = -1.70000000000000 H_scalar   = 0.248244118082263
Ra = 1.50000000000000 Za = -1.80000000000000 H_scalar_t = 1.010281370556402
Ra = 1.50000000000000 Za = -1.80000000000000 H_scalar_s = -0.7996473100632642
Ra = 1.50000000000000 Za = -1.80000000000000 H_scalar   = 0.21063406049313782
Ra = 1.50000000000000 Za = -1.90000000000000 H_scalar_t = 0.6073279666153644
Ra = 1.50000000000000 Za = -1.90000000000000 H_scalar_s = -0.43833983828813006
Ra = 1.50000000000000 Za = -1.90000000000000 H_scalar   = 0.1689881283272343
Ra = 1.50000000000000 Za = -2.00000000000000 H_scalar_t = 0.3287532283713586
Ra = 1.50000000000000 Za = -2.00000000000000 H_scalar_s = -0.20340371506587962
Ra = 1.50000000000000 Za = -2.00000000000000 H_scalar   = 0.125349513305479
Ra = 1.50000000000000 Za = -2.50000000000000 H_scalar_t = -0.2899229517552131
Ra = 1.50000000000000 Za = -2.50000000000000 H_scalar_s = 0.21012098614582708
Ra = 1.50000000000000 Za = -2.50000000000000 H_scalar   = -0.07980196560938602
Ra = 1.50000000000000 Za = -3.00000000000000 H_scalar_t = -0.4478234515661627
Ra = 1.50000000000000 Za = -3.00000000000000 H_scalar_s = 0.23006219470218237
Ra = 1.50000000000000 Za = -3.00000000000000 H_scalar   = -0.21776125686398035
Ra = 1.50000000000000 Za = -3.50000000000000 H_scalar_t = -0.4698640152591085
Ra = 1.50000000000000 Za = -3.50000000000000 H_scalar_s = 0.18257720897646035
Ra = 1.50000000000000 Za = -3.50000000000000 H_scalar   = -0.28728680628264813
Ra = 1.50000000000000 Za = -4.00000000000000 H_scalar_t = -0.444787927512092
Ra = 1.50000000000000 Za = -4.00000000000000 H_scalar_s = 0.13426650122554018
Ra = 1.50000000000000 Za = -4.00000000000000 H_scalar   = -0.3105214262865518
Ra = 1.50000000000000 Za = -4.50000000000000 H_scalar_t = -0.4045409697605368
Ra = 1.50000000000000 Za = -4.50000000000000 H_scalar_s = 0.09702875302917158
Ra = 1.50000000000000 Za = -4.50000000000000 H_scalar   = -0.3075122167313652
Ra = 1.50000000000000 Za = -5.00000000000000 H_scalar_t = -0.361775932164995
Ra = 1.50000000000000 Za = -5.00000000000000 H_scalar_s = 0.07034534639617551
Ra = 1.50000000000000 Za = -5.00000000000000 H_scalar   = -0.2914305857688195
Ra = 1.50000000000000 Za = -5.50000000000000 H_scalar_t = -0.3214606675543104
Ra = 1.50000000000000 Za = -5.50000000000000 H_scalar_s = 0.051581648206259434
Ra = 1.50000000000000 Za = -5.50000000000000 H_scalar   = -0.269879019348051
Ra = 1.50000000000000 Za = -6.00000000000000 H_scalar_t = -0.2852966458776497
Ra = 1.50000000000000 Za = -6.00000000000000 H_scalar_s = 0.03836934789162605
Ra = 1.50000000000000 Za = -6.00000000000000 H_scalar   = -0.24692729798602364
Ra = 1.50000000000000 Za = -6.50000000000000 H_scalar_t = -0.2535876015156118
Ra = 1.50000000000000 Za = -6.50000000000000 H_scalar_s = 0.0289748301820118
Ra = 1.50000000000000 Za = -6.50000000000000 H_scalar   = -0.22461277133360003
Ra = 1.50000000000000 Za = -7.00000000000000 H_scalar_t = -0.2260671597694747
Ra = 1.50000000000000 Za = -7.00000000000000 H_scalar_s = 0.022206059967682268
Ra = 1.50000000000000 Za = -7.00000000000000 H_scalar   = -0.20386109980179243

Результирующий график scalar магнитного поля $H_{||}$ на расстоянии Ra = 1.5 см от оси цилиндрической системы координат в зависимости от координаты точки наблюдения $Z_a$

list_plot(plot_data_h_scalar).show()

plot_data_h_scalar = []
plot_data_h_scalar_t = []
plot_data_h_scalar_s = []

Ra = Rj1
for dz in (0.01, 0.02, 0.03, 0.04, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5):
    Za = Zj1 - dz
    h_scalar = calc_H_scalar(Za, Ra)
    plot_data_h_scalar += [(Za, h_scalar[0])]
    plot_data_h_scalar_t += [(Za, h_scalar[1])]
    plot_data_h_scalar_s += [(Za, h_scalar[2])]

Ra = 0.300000000000000 Za = -1.51000000000000 H_scalar_t = -26.31408976560741
Ra = 0.300000000000000 Za = -1.51000000000000 H_scalar_s = 15.769056689146678
Ra = 0.300000000000000 Za = -1.51000000000000 H_scalar   = -10.545033076460731
Ra = 0.300000000000000 Za = -1.52000000000000 H_scalar_t = -24.84250417768748
Ra = 0.300000000000000 Za = -1.52000000000000 H_scalar_s = 14.284217820005328
Ra = 0.300000000000000 Za = -1.52000000000000 H_scalar   = -10.558286357682153
Ra = 0.300000000000000 Za = -1.53000000000000 H_scalar_t = -23.94594716753727
Ra = 0.300000000000000 Za = -1.53000000000000 H_scalar_s = 13.376748621678889
Ra = 0.300000000000000 Za = -1.53000000000000 H_scalar   = -10.56919854585838
Ra = 0.300000000000000 Za = -1.54000000000000 H_scalar_t = -23.28473479088355
Ra = 0.300000000000000 Za = -1.54000000000000 H_scalar_s = 12.706592650797099
Ra = 0.300000000000000 Za = -1.54000000000000 H_scalar   = -10.578142140086452
Ra = 0.300000000000000 Za = -1.55000000000000 H_scalar_t = -22.75245647015484
Ra = 0.300000000000000 Za = -1.55000000000000 H_scalar_s = 12.167101836433362
Ra = 0.300000000000000 Za = -1.55000000000000 H_scalar   = -10.585354633721478
Ra = 0.300000000000000 Za = -1.60000000000000 H_scalar_t = -20.93578810516285
Ra = 0.300000000000000 Za = -1.60000000000000 H_scalar_s = 10.335704979605712
Ra = 0.300000000000000 Za = -1.60000000000000 H_scalar   = -10.600083125557138
Ra = 0.300000000000000 Za = -1.70000000000000 H_scalar_t = -18.69736723508141
Ra = 0.300000000000000 Za = -1.70000000000000 H_scalar_s = 8.151431111764246
Ra = 0.300000000000000 Za = -1.70000000000000 H_scalar   = -10.545936123317162
Ra = 0.300000000000000 Za = -1.80000000000000 H_scalar_t = -17.05800419040798
Ra = 0.300000000000000 Za = -1.80000000000000 H_scalar_s = 6.658035211422397
Ra = 0.300000000000000 Za = -1.80000000000000 H_scalar   = -10.399968978985584
Ra = 0.300000000000000 Za = -1.90000000000000 H_scalar_t = -15.68715433125465
Ra = 0.300000000000000 Za = -1.90000000000000 H_scalar_s = 5.510834660503673
Ra = 0.300000000000000 Za = -1.90000000000000 H_scalar   = -10.176319670750978
Ra = 0.300000000000000 Za = -2.00000000000000 H_scalar_t = -14.48531495375845
Ra = 0.300000000000000 Za = -2.00000000000000 H_scalar_s = 4.5952313150709445
Ra = 0.300000000000000 Za = -2.00000000000000 H_scalar   = -9.890083638687507
Ra = 0.300000000000000 Za = -2.50000000000000 H_scalar_t = -10.03018940895463
Ra = 0.300000000000000 Za = -2.50000000000000 H_scalar_s = 1.990470587036009
Ra = 0.300000000000000 Za = -2.50000000000000 H_scalar   = -8.03971882191862
Ra = 0.300000000000000 Za = -3.00000000000000 H_scalar_t = -7.234051656388436
Ra = 0.300000000000000 Za = -3.00000000000000 H_scalar_s = 0.9571609584536631
Ra = 0.300000000000000 Za = -3.00000000000000 H_scalar   = -6.276890697934773
Ra = 0.300000000000000 Za = -3.50000000000000 H_scalar_t = -5.415491646440955
Ra = 0.300000000000000 Za = -3.50000000000000 H_scalar_s = 0.505532006333459
Ra = 0.300000000000000 Za = -3.50000000000000 H_scalar   = -4.9099596401074965
Ra = 0.300000000000000 Za = -4.00000000000000 H_scalar_t = -4.187099950674823
Ra = 0.300000000000000 Za = -4.00000000000000 H_scalar_s = 0.28904659682007505
Ra = 0.300000000000000 Za = -4.00000000000000 H_scalar   = -3.898053353854748
Ra = 0.300000000000000 Za = -4.50000000000000 H_scalar_t = -3.326163062170953
Ra = 0.300000000000000 Za = -4.50000000000000 H_scalar_s = 0.17637443009183873
Ra = 0.300000000000000 Za = -4.50000000000000 H_scalar   = -3.1497886320791144
Ra = 0.300000000000000 Za = -5.00000000000000 H_scalar_t = -2.702483543191398
Ra = 0.300000000000000 Za = -5.00000000000000 H_scalar_s = 0.11348190431357907
Ra = 0.300000000000000 Za = -5.00000000000000 H_scalar   = -2.5890016388778188
Ra = 0.300000000000000 Za = -5.50000000000000 H_scalar_t = -2.237521597678333
Ra = 0.300000000000000 Za = -5.50000000000000 H_scalar_s = 0.07625931712840694
Ra = 0.300000000000000 Za = -5.50000000000000 H_scalar   = -2.161262280549926
Ra = 0.300000000000000 Za = -6.00000000000000 H_scalar_t = -1.882220802712592
Ra = 0.300000000000000 Za = -6.00000000000000 H_scalar_s = 0.053124925183927973
Ra = 0.300000000000000 Za = -6.00000000000000 H_scalar   = -1.829095877528664
Ra = 0.300000000000000 Za = -6.50000000000000 H_scalar_t = -1.604889581886923
Ra = 0.300000000000000 Za = -6.50000000000000 H_scalar_s = 0.038143165675565305
Ra = 0.300000000000000 Za = -6.50000000000000 H_scalar   = -1.5667464162113578
Ra = 0.300000000000000 Za = -7.00000000000000 H_scalar_t = -1.384409350824197
Ra = 0.300000000000000 Za = -7.00000000000000 H_scalar_s = 0.028097004976270767
Ra = 0.300000000000000 Za = -7.00000000000000 H_scalar   = -1.3563123458479263

Результирующий график scalar магнитного поля $H_{||}$ на расстоянии Ra = 0.3 см от оси цилиндрической системы координат в зависимости от координаты точки наблюдения $Z_a$

list_plot(plot_data_h_scalar).show()

plot_data_h_scalar = []
plot_data_h_scalar_t = []
plot_data_h_scalar_s = []

Ra = (Rj1 + Rj2) / 2
for dz in (0.01, 0.02, 0.03, 0.04, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5):
    Za = Zj1 - dz
    h_scalar = calc_H_scalar(Za, Ra)
    plot_data_h_scalar += [(Za, h_scalar[0])]
    plot_data_h_scalar_t += [(Za, h_scalar[1])]
    plot_data_h_scalar_s += [(Za, h_scalar[2])]

Ra = 0.900000000000000 Za = -1.51000000000000 H_scalar_t = -5.039118110155604
Ra = 0.900000000000000 Za = -1.51000000000000 H_scalar_s = 4.40002506170906
Ra = 0.900000000000000 Za = -1.51000000000000 H_scalar   = -0.6390930484465436
Ra = 0.900000000000000 Za = -1.52000000000000 H_scalar_t = -4.976267956685291
Ra = 0.900000000000000 Za = -1.52000000000000 H_scalar_s = 4.332930231634462
Ra = 0.900000000000000 Za = -1.52000000000000 H_scalar   = -0.643337725050829
Ra = 0.900000000000000 Za = -1.53000000000000 H_scalar_t = -4.914521857479754
Ra = 0.900000000000000 Za = -1.53000000000000 H_scalar_s = 4.266757809867732
Ra = 0.900000000000000 Za = -1.53000000000000 H_scalar   = -0.6477640476120214
Ra = 0.900000000000000 Za = -1.54000000000000 H_scalar_t = -4.853877202156959
Ra = 0.900000000000000 Za = -1.54000000000000 H_scalar_s = 4.201513638654337
Ra = 0.900000000000000 Za = -1.54000000000000 H_scalar   = -0.6523635635026226
Ra = 0.900000000000000 Za = -1.55000000000000 H_scalar_t = -4.794330303104919
Ra = 0.900000000000000 Za = -1.55000000000000 H_scalar_s = 4.13720239156229
Ra = 0.900000000000000 Za = -1.55000000000000 H_scalar   = -0.657127911542629
Ra = 0.900000000000000 Za = -1.60000000000000 H_scalar_t = -4.512860292842516
Ra = 0.900000000000000 Za = -1.60000000000000 H_scalar_s = 3.8297234304358985
Ra = 0.900000000000000 Za = -1.60000000000000 H_scalar   = -0.6831368624066179
Ra = 0.900000000000000 Za = -1.70000000000000 H_scalar_t = -4.027372803029071
Ra = 0.900000000000000 Za = -1.70000000000000 H_scalar_s = 3.28432586622197
Ra = 0.900000000000000 Za = -1.70000000000000 H_scalar   = -0.7430469368071013
Ra = 0.900000000000000 Za = -1.80000000000000 H_scalar_t = -3.633437820542107
Ra = 0.900000000000000 Za = -1.80000000000000 H_scalar_s = 2.8254969645683907
Ra = 0.900000000000000 Za = -1.80000000000000 H_scalar   = -0.8079408559737162
Ra = 0.900000000000000 Za = -1.90000000000000 H_scalar_t = -3.314159456178858
Ra = 0.900000000000000 Za = -1.90000000000000 H_scalar_s = 2.441605549888431
Ra = 0.900000000000000 Za = -1.90000000000000 H_scalar   = -0.8725539062904271
Ra = 0.900000000000000 Za = -2.00000000000000 H_scalar_t = -3.05297901556859
Ra = 0.900000000000000 Za = -2.00000000000000 H_scalar_s = 2.1198480801486506
Ra = 0.900000000000000 Za = -2.00000000000000 H_scalar   = -0.9331309354199395
Ra = 0.900000000000000 Za = -2.50000000000000 H_scalar_t = -2.228334406332435
Ra = 0.900000000000000 Za = -2.50000000000000 H_scalar_s = 1.1073271386797465
Ra = 0.900000000000000 Za = -2.50000000000000 H_scalar   = -1.1210072676526885
Ra = 0.900000000000000 Za = -3.00000000000000 H_scalar_t = -1.745336158278738
Ra = 0.900000000000000 Za = -3.00000000000000 H_scalar_s = 0.6181840834439862
Ra = 0.900000000000000 Za = -3.00000000000000 H_scalar   = -1.1271520748347517
Ra = 0.900000000000000 Za = -3.50000000000000 H_scalar_t = -1.401531643647181
Ra = 0.900000000000000 Za = -3.50000000000000 H_scalar_s = 0.3636858232682727
Ra = 0.900000000000000 Za = -3.50000000000000 H_scalar   = -1.0378458203789083
Ra = 0.900000000000000 Za = -4.00000000000000 H_scalar_t = -1.142837817399087
Ra = 0.900000000000000 Za = -4.00000000000000 H_scalar_s = 0.22440044201275833
Ra = 0.900000000000000 Za = -4.00000000000000 H_scalar   = -0.9184373753863286
Ra = 0.900000000000000 Za = -4.50000000000000 H_scalar_t = -0.9444196938191235
Ra = 0.900000000000000 Za = -4.50000000000000 H_scalar_s = 0.14454623109040843
Ra = 0.900000000000000 Za = -4.50000000000000 H_scalar   = -0.7998734627287151
Ra = 0.900000000000000 Za = -5.00000000000000 H_scalar_t = -0.7902935620355982
Ra = 0.900000000000000 Za = -5.00000000000000 H_scalar_s = 0.09672072680915889
Ra = 0.900000000000000 Za = -5.00000000000000 H_scalar   = -0.6935728352264393
Ra = 0.900000000000000 Za = -5.50000000000000 H_scalar_t = -0.6691038081466925
Ra = 0.900000000000000 Za = -5.50000000000000 H_scalar_s = 0.06690768011420989
Ra = 0.900000000000000 Za = -5.50000000000000 H_scalar   = -0.6021961280324826
Ra = 0.900000000000000 Za = -6.00000000000000 H_scalar_t = -0.5726293984406131
Ra = 0.900000000000000 Za = -6.00000000000000 H_scalar_s = 0.047642845647701826
Ra = 0.900000000000000 Za = -6.00000000000000 H_scalar   = -0.5249865527929113
Ra = 0.900000000000000 Za = -6.50000000000000 H_scalar_t = -0.4948911568050329
Ra = 0.900000000000000 Za = -6.50000000000000 H_scalar_s = 0.03479019917847692
Ra = 0.900000000000000 Za = -6.50000000000000 H_scalar   = -0.46010095762655595
Ra = 0.900000000000000 Za = -7.00000000000000 H_scalar_t = -0.4315170701473746
Ra = 0.900000000000000 Za = -7.00000000000000 H_scalar_s = 0.02596980972223195
Ra = 0.900000000000000 Za = -7.00000000000000 H_scalar   = -0.40554726042514266

Результирующий график scalar магнитного поля $H_{||}$ на расстоянии Ra = 0.9 см от оси цилиндрической системы координат в зависимости от координаты точки наблюдения $Z_a$

list_plot(plot_data_h_scalar).show()

Определяем функцию расчёта поперечной силы Лоренца (компонента $z$), действующей на торец другого цилиндра с координатой $Z_a$ удельная плотность силы Лоренца $$f=\frac{1}{c}[j \times H]$$ поскольку в образовании результирующей силы участвуют только торцевые токи, берём поверхностный интеграл по площади поверхности торца $$F=\frac{1}{c}\int\limits_{S_a}[j_t \times H]\,d{S_a}$$ в цилиндрической системе координат интеграл по площади торца $$F=\frac{1}{c}\int\limits_{r_{a1}}^{r_{a2}}\int\limits_{0}^{2\pi}[j_t \times H]\,r_a\,d{\varphi_a}\,d{r_a}$$ упрощая $$F=\frac{2\pi}{c}\int\limits_{r_{a1}}^{r_{a2}}\,j_t\, H_{\varphi}\,r_a\,d{r_a}$$

def calc_F_lorenz( At_diff_za_subs_zj, As_diff_ra_subs_rj, Za, Ra1, Ra2):
    At_diff_za_subs_zj_za = lambda rj, ra : At_diff_za_subs_zj(rj, ra, Za)
    As_diff_ra_subs_rj_za = lambda ra, zj : As_diff_ra_subs_rj(ra, zj, Za)
    Av_diff_ra_subs_rj_za = lambda ra, zj : Av_diff_ra_subs_rj(ra, zj, Za)

    jt_c = (jt/c).substitute(I0 == 1)

    At_diff_za_num_int_ra = lambda Rj : num_int(lambda ra : (2*pi*jt_c*ra*At_diff_za_subs_zj_za(Rj, ra)), Ra1, Ra2)
    At_diff_za_num_int_ra_int_rj = num_int(lambda rj : At_diff_za_num_int_ra(rj), Rj1, Rj2)

    As_diff_ra_num_int_ra = lambda Zj : num_int(lambda ra : (2*pi*jt_c*ra*(As_diff_ra_subs_rj_za(ra, Zj) ) ), Ra1, Ra2)
    As_diff_ra_num_int_ra_int_zj = num_int(lambda zj : As_diff_ra_num_int_ra(zj), Zj1, Zj2)

    Av_diff_ra_num_int_ra = lambda Zj : num_int(lambda ra : (2*pi*jt_c*ra*(Av_diff_ra_subs_rj_za(ra, Zj) ) ), Ra1, Ra2)
    Av_diff_ra_num_int_ra_int_zj = num_int(lambda zj : Av_diff_ra_num_int_ra(zj), Zj1, Zj2)

    F_z_t = At_diff_za_num_int_ra_int_rj
    F_z_s = As_diff_ra_num_int_ra_int_zj
    F_z_v = Av_diff_ra_num_int_ra_int_zj

    As_v_diff_ra_num_int_ra_int_zj = As_diff_ra_num_int_ra_int_zj + Av_diff_ra_num_int_ra_int_zj
    F_z_sv = - As_v_diff_ra_num_int_ra_int_zj
    F_z = F_z_t + F_z_sv

    print ("Ra1 =", Ra1, "Ra2 =", Ra2, "Za =", Za, "F_z_t  =", F_z_t)
    print ("Ra1 =", Ra1, "Ra2 =", Ra2, "Za =", Za, "F_z_s  =", F_z_s)
    print ("Ra1 =", Ra1, "Ra2 =", Ra2, "Za =", Za, "F_z_v  =", F_z_v)
    print ("Ra1 =", Ra1, "Ra2 =", Ra2, "Za =", Za, "F_z_sv =", F_z_sv)
    print ("Ra1 =", Ra1, "Ra2 =", Ra2, "Za =", Za, "F_z    =", F_z)

    return (F_z, F_z_t, F_z_s, F_z_v)

Определяем функцию расчёта поперечной Лоренца (компонента $z$), действующей на левый цилиндр исходя из величины зазора $dz$

def calc_F_lorenz_cylinder(dz):
    # расчет силы Лоренца, действующей на ближайжий (правый) торец пробного цилиндра расположенного левее на расстоянии
    Za = Zj1 - dz
    F_lorenz_left_cylinder_right_t = calc_F_lorenz( At_diff_za_subs_zj, As_diff_ra_subs_rj, Za, Ra1, Ra2)
    print ("Za = ", Za, "F_lorenz_left_cylinder_right_t = ", F_lorenz_left_cylinder_right_t)

    # расчет силы Лоренца, действующей на удалённый (левый) торец пробного цилиндра расположенного левее на расстоянии
    Za = Zj1 - DZ - dz
    F_lorenz_left_cylinder_left_t = calc_F_lorenz( At_diff_za_subs_zj, As_diff_ra_subs_rj, Za, Ra1, Ra2)
    print ("Za = ", Za, "F_lorenz_left_cylinder_left_t =", F_lorenz_left_cylinder_left_t)

    # учитывая отрицательное направление торцевого тока в правом торце и положительное направление торцевого тока в левом торце
    # находим суммарную силу Лоренца действующую на левый цилиндр
    F_lorenz_cylinder = - F_lorenz_left_cylinder_right_t[0] + F_lorenz_left_cylinder_left_t[0]
    print ("dz = ", dz, "F_lorenz_cylinder = ", F_lorenz_cylinder)

    return F_lorenz_cylinder

Определяем функцию расчёта силы Николаева (компонента $z$), действующей на surface другого цилиндра с координатой $R_a$ удельная плотность силы Николаева $$f=\frac{1}{c}\left(j \, H_{||}\right)$$ поскольку в образовании результирующей силы участвуют только surface токи, берём поверхностный интеграл по площади поверхности surface $$F=\frac{1}{c}\int\limits_{S_a}\left(j \, H_{||}\right)\,d{S_a}$$ в цилиндрической системе координат интеграл по площади surface $$F=\frac{1}{c}\int\limits_{z_{a1}}^{z_{a2}}\int\limits_{0}^{2\pi}\left(j \, H_{||}\right)\,R_a\,d{\varphi_a}\,d{z_a}$$ упрощая $$F=\frac{2\pi\,R_a}{c}\int\limits_{r_{a1}}^{r_{a2}}\,j_s\, H_{||}\,d{z_a}$$

def calc_F_nikolaev(Ra, Za1, Za2):
    
    At_ra_diff_ra_div_ra_subs_zj_ra = lambda rj, za : At_ra_diff_ra_div_ra_subs_zj(rj, Ra, za)
    As_diff_za_subs_rj_ra = lambda zj, za : As_diff_za_subs_rj(Ra, zj, za)
    Av_diff_za_subs_rj_ra = lambda zj, za : Av_diff_za_subs_rj(Ra, zj, za)
    
    jt_c = (jt/c).substitute(I0 == 1)

    At_diff_ra_num_int_ra = lambda Rj : num_int(lambda za : (2*pi*jt_c*Ra*At_ra_diff_ra_div_ra_subs_zj_ra(Rj, za)), Za1, Za2)
    At_diff_ra_num_int_ra_int_rj = num_int(lambda rj : At_diff_ra_num_int_ra(rj), Rj1, Rj2)

    As_diff_za_num_int_ra = lambda Zj : num_int(lambda za : (2*pi*jt_c*Ra*(As_diff_za_subs_rj_ra(Zj, za) ) ), Za1, Za2)
    As_diff_za_num_int_ra_int_zj = num_int(lambda zj : As_diff_za_num_int_ra(zj), Zj1, Zj2)

    Av_diff_za_num_int_ra = lambda Zj : num_int(lambda za : (2*pi*jt_c*Ra*(Av_diff_za_subs_rj_ra(Zj, za) ) ), Za1, Za2)
    Av_diff_za_num_int_ra_int_zj = num_int(lambda zj : Av_diff_za_num_int_ra(zj), Zj1, Zj2)


    F_z_t = - At_diff_ra_num_int_ra_int_rj
    F_z_s = - As_diff_za_num_int_ra_int_zj
    F_z_v = - Av_diff_za_num_int_ra_int_zj

    As_v_diff_za_num_int_ra_int_zj = As_diff_za_num_int_ra_int_zj + Av_diff_za_num_int_ra_int_zj
    F_z_sv = - As_v_diff_za_num_int_ra_int_zj
    F_z = F_z_t + F_z_sv

    print ("Ra1 =", Ra1, "Ra2 =", Ra2, "Za =", Za, "F_z_t  =", F_z_t)
    print ("Ra1 =", Ra1, "Ra2 =", Ra2, "Za =", Za, "F_z_s  =", F_z_s)
    print ("Ra1 =", Ra1, "Ra2 =", Ra2, "Za =", Za, "F_z_v  =", F_z_v)
    print ("Ra1 =", Ra1, "Ra2 =", Ra2, "Za =", Za, "F_z_sv =", F_z_sv)
    print ("Ra1 =", Ra1, "Ra2 =", Ra2, "Za =", Za, "F_z    =", F_z)

    return (F_z, F_z_t, F_z_s, F_z_v)

Определяем функцию расчёта силы Николаева (компонента $z$), действующей на левый цилиндр исходя из величины зазора $dz$

def calc_F_nikolaev_cylinder(dz):
    # расчет силы Nikolaev's, действующей на inner surface пробного цилиндра расположенного левее на расстоянии
    Za1 = Zj1 - dz - DZ
    Za2 = Zj1 - dz
    Ra = Rj1
    F_nikolaev_left_cylinder_inner_s = calc_F_nikolaev(Ra, Za1, Za2)
    print ("Ra = ", Ra, "F_nikolaev_left_cylinder_inner_s = ", F_nikolaev_left_cylinder_inner_s)

    # расчет силы Лоренца, действующей на outer surface пробного цилиндра расположенного левее на расстоянии
    Ra =  Rj2
    F_nikolaev_left_cylinder_outer_s = calc_F_nikolaev(Ra, Za1, Za2)
    print ("Ra = ", Ra, "F_nikolaev_left_cylinder_outer_s =", F_nikolaev_left_cylinder_outer_s)

    # учитывая отрицательное направление торцевого тока на inner surface и положительное направление торцевого тока на outer surface
    # находим суммарную силу Лоренца действующую на левый цилиндр
    F_nikolaev_cylinder = - F_nikolaev_left_cylinder_inner_s[0] + F_nikolaev_left_cylinder_outer_s[0]
    print ("dz = ", dz, "F_nikolaev_cylinder = ", F_nikolaev_cylinder)

    return F_nikolaev_cylinder

Запуск расчёта силы Лоренца и величины векторного магнитного поля для заданного набора значений зазора между цилиндрами

plot_data_f_lorenz_dz = []
plot_data_f_lorenz_Za = []
plot_data_f_nikolaev_dz = []
plot_data_f_nikolaev_Za = []
plot_data_f_sum_dz = []
plot_data_f_sum_Za = []
plot_data_h = []
plot_data_h_t = []
plot_data_h_s = []

Ra = (Rj1 + Rj2) / 2
for dz in (0.01, 0.02, 0.03, 0.04, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 1.0, 1.5, 2.0):
    Za = Zj1 - dz
    h = calc_H_phi( At_diff_za_subs_zj, As_diff_ra_subs_rj, Za, Ra)
    f_nikolaev = calc_F_nikolaev_cylinder(dz)
    f_lorenz = calc_F_lorenz_cylinder(dz)
    plot_data_h += [(Za, h[0])]
    plot_data_h_t += [(Za, h[1])]
    plot_data_h_s += [(Za, h[2])]
    plot_data_f_lorenz_dz += [(dz, f_lorenz)]
    plot_data_f_lorenz_Za += [(Za, f_lorenz)]
    plot_data_f_nikolaev_dz += [(dz, f_nikolaev)]
    plot_data_f_nikolaev_Za += [(Za, f_nikolaev)]
    plot_data_f_sum_dz += [(dz, f_lorenz + f_nikolaev)]
    plot_data_f_sum_Za += [(Za, f_lorenz + f_nikolaev)]

Ra = 0.900000000000000 Za = -1.51000000000000 H_phi_t = 5.644078024649912
Ra = 0.900000000000000 Za = -1.51000000000000 H_phi_s = -6.112910411879253
Ra = 0.900000000000000 Za = -1.51000000000000 H_phi   = -0.46883238722934095
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_t  = -50.27132562084646
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_s  = -6.105407607069458
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_v  = 18.855251315045734
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_sv = 12.749843707976275
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z    = -37.521481912870186
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-37.521481912870186, -50.27132562084646, -6.105407607069458, 18.855251315045734)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_t  = -0.4012561278347424
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_s  = -61.539116398536116
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_v  = 58.19976143360743
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_sv = -3.339354964928688
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z    = -3.7406110927634306
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-3.7406110927634306, -0.4012561278347424, -61.539116398536116, 58.19976143360743)
dz =  0.0100000000000000 F_nikolaev_cylinder =  33.780870820106756
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_t  = 37.574573607478655
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_s  = 14.883427043888043
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_v  = 25.724906359382704
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z_sv = -40.60833340327075
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.51000000000000 F_z    = -3.0337597957920934
Za =  -1.51000000000000 F_lorenz_left_cylinder_right_t =  (-3.0337597957920934, 37.574573607478655, 14.883427043888043, 25.724906359382704)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.51000000000000 F_z_t  = 2.6040228344504093
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.51000000000000 F_z_s  = -1.2057716280010589
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.51000000000000 F_z_v  = 1.6597835531830494
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.51000000000000 F_z_sv = -0.4540119251819905
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.51000000000000 F_z    = 2.1500109092684188
Za =  -4.51000000000000 F_lorenz_left_cylinder_left_t = (2.1500109092684188, 2.6040228344504093, -1.2057716280010589, 1.6597835531830494)
dz =  0.0100000000000000 F_lorenz_cylinder =  5.183770705060512
Ra = 0.900000000000000 Za = -1.52000000000000 H_phi_t = 5.583593170676274
Ra = 0.900000000000000 Za = -1.52000000000000 H_phi_s = -6.014895008192264
Ra = 0.900000000000000 Za = -1.52000000000000 H_phi   = -0.43130183751599027
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_t  = -49.852971132802466
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_s  = -6.23693560121213
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_v  = 18.70831329568085
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_sv = 12.47137769446872
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z    = -37.381593438333745
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-37.381593438333745, -49.852971132802466, -6.23693560121213, 18.70831329568085)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_t  = -1.0538854962062998
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_s  = -60.67140384019121
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_v  = 57.92776765705626
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_sv = -2.743636183134953
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z    = -3.7975216793412527
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-3.7975216793412527, -1.0538854962062998, -60.67140384019121, 57.92776765705626)
dz =  0.0200000000000000 F_nikolaev_cylinder =  33.58407175899249
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_t  = 36.61424936386304
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_s  = 14.015019689939411
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_v  = 25.391055467997404
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z_sv = -39.40607515793681
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.52000000000000 F_z    = -2.791825794073773
Za =  -1.52000000000000 F_lorenz_left_cylinder_right_t =  (-2.791825794073773, 36.61424936386304, 14.015019689939411, 25.391055467997404)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.52000000000000 F_z_t  = 2.5885359728828665
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.52000000000000 F_z_s  = -1.1999941874455011
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.52000000000000 F_z_v  = 1.6492164975024313
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.52000000000000 F_z_sv = -0.44922231005693014
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.52000000000000 F_z    = 2.1393136628259364
Za =  -4.52000000000000 F_lorenz_left_cylinder_left_t = (2.1393136628259364, 2.5885359728828665, -1.1999941874455011, 1.6492164975024313)
dz =  0.0200000000000000 F_lorenz_cylinder =  4.931139456899709
Ra = 0.900000000000000 Za = -1.53000000000000 H_phi_t = 5.523152664962625
Ra = 0.900000000000000 Za = -1.53000000000000 H_phi_s = -5.9176981480472
Ra = 0.900000000000000 Za = -1.53000000000000 H_phi   = -0.39454548308457493
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_t  = -49.455683556398924
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_s  = -6.348547410789723
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_v  = 18.56299291198719
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_sv = 12.214445501197467
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z    = -37.24123805520146
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-37.24123805520146, -49.455683556398924, -6.348547410789723, 18.56299291198719)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_t  = -1.6095941178373987
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_s  = -59.90157175120813
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_v  = 57.656897488250266
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_sv = -2.244674262957865
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z    = -3.854268380795264
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-3.854268380795264, -1.6095941178373987, -59.90157175120813, 57.656897488250266)
dz =  0.0300000000000000 F_nikolaev_cylinder =  33.386969674406195
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_t  = 35.77198177785803
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_s  = 13.264874592271312
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_v  = 25.062910715158164
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z_sv = -38.32778530742948
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.53000000000000 F_z    = -2.555803529571449
Za =  -1.53000000000000 F_lorenz_left_cylinder_right_t =  (-2.555803529571449, 35.77198177785803, 13.264874592271312, 25.062910715158164)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.53000000000000 F_z_t  = 2.5731675439439097
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.53000000000000 F_z_s  = -1.1942451718270144
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.53000000000000 F_z_v  = 1.6387372358618733
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.53000000000000 F_z_sv = -0.44449206403485886
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.53000000000000 F_z    = 2.1286754799090506
Za =  -4.53000000000000 F_lorenz_left_cylinder_left_t = (2.1286754799090506, 2.5731675439439097, -1.1942451718270144, 1.6387372358618733)
dz =  0.0300000000000000 F_lorenz_cylinder =  4.6844790094805
Ra = 0.900000000000000 Za = -1.54000000000000 H_phi_t = 5.462789491177652
Ra = 0.900000000000000 Za = -1.54000000000000 H_phi_s = -5.82134542540574
Ra = 0.900000000000000 Za = -1.54000000000000 H_phi   = -0.35855593422808774
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_t  = -49.07255387876549
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_s  = -6.447154572443042
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_v  = 18.419250999342356
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_sv = 11.972096426899315
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z    = -37.10045745186618
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-37.10045745186618, -49.07255387876549, -6.447154572443042, 18.419250999342356)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_t  = -2.102954695555133
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_s  = -59.1950421446091
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_v  = 57.387162939368004
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_sv = -1.8078792052410932
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z    = -3.9108339007962263
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-3.9108339007962263, -2.102954695555133, -59.1950421446091, 57.387162939368004)
dz =  0.0400000000000000 F_nikolaev_cylinder =  33.18962355106995
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_t  = 35.00621642333614
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_s  = 12.591451101544495
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_v  = 24.740282029164717
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z_sv = -37.33173313070921
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.54000000000000 F_z    = -2.325516707373069
Za =  -1.54000000000000 F_lorenz_left_cylinder_right_t =  (-2.325516707373069, 35.00621642333614, 12.591451101544495, 24.740282029164717)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.54000000000000 F_z_t  = 2.5579164561559646
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.54000000000000 F_z_s  = -1.1885245305779182
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.54000000000000 F_z_v  = 1.6283448789122072
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.54000000000000 F_z_sv = -0.43982034833428907
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.54000000000000 F_z    = 2.1180961078216756
Za =  -4.54000000000000 F_lorenz_left_cylinder_left_t = (2.1180961078216756, 2.5579164561559646, -1.1885245305779182, 1.6283448789122072)
dz =  0.0400000000000000 F_lorenz_cylinder =  4.4436128151947445
Ra = 0.900000000000000 Za = -1.55000000000000 H_phi_t = 5.402536300707759
Ra = 0.900000000000000 Za = -1.55000000000000 H_phi_s = -5.725861856562527
Ra = 0.900000000000000 Za = -1.55000000000000 H_phi   = -0.3233255558547681
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_t  = -48.700302610525235
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_s  = -6.536039179728792
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_v  = 18.27705407084641
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_sv = 11.741014891117619
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z    = -36.95928771940761
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-36.95928771940761, -48.700302610525235, -6.536039179728792, 18.27705407084641)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_t  = -2.5503837429770577
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_s  = -58.53539321335911
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_v  = 57.118574451968115
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_sv = -1.4168187613909922
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z    = -3.96720250436805
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-3.96720250436805, -2.5503837429770577, -58.53539321335911, 57.118574451968115)
dz =  0.0500000000000000 F_nikolaev_cylinder =  32.992085215039566
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_t  = 34.29719339418374
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_s  = 11.975001442037618
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_v  = 24.423002377518888
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z_sv = -36.39800381955651
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.55000000000000 F_z    = -2.1008104253727637
Za =  -1.55000000000000 F_lorenz_left_cylinder_right_t =  (-2.1008104253727637, 34.29719339418374, 11.975001442037618, 24.423002377518888)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.55000000000000 F_z_t  = 2.542781629722931
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.55000000000000 F_z_s  = -1.1828322104349442
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.55000000000000 F_z_v  = 1.6180385478173578
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.55000000000000 F_z_sv = -0.43520633738241354
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.55000000000000 F_z    = 2.1075752923405173
Za =  -4.55000000000000 F_lorenz_left_cylinder_left_t = (2.1075752923405173, 2.542781629722931, -1.1828322104349442, 1.6180385478173578)
dz =  0.0500000000000000 F_lorenz_cylinder =  4.208385717713281
Ra = 0.900000000000000 Za = -1.60000000000000 H_phi_t = 5.104026645838175
Ra = 0.900000000000000 Za = -1.60000000000000 H_phi_s = -5.262305326689837
Ra = 0.900000000000000 Za = -1.60000000000000 H_phi   = -0.1582786808516623
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_t  = -46.95250544106022
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_s  = -6.884439450411798
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_v  = 17.588294739848838
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_sv = 10.70385528943704
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z    = -36.24865015162318
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-36.24865015162318, -46.95250544106022, -6.884439450411798, 17.588294739848838)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_t  = -4.347438257347648
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_s  = -55.69129070991451
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_v  = 55.793115937469594
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_sv = 0.10182522755508217
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z    = -4.245613029792566
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-4.245613029792566, -4.347438257347648, -55.69129070991451, 55.793115937469594)
dz =  0.100000000000000 F_nikolaev_cylinder =  32.003037121830616
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_t  = 31.30277052421018
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_s  = 9.447236677606481
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_v  = 22.91195571421546
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z_sv = -32.35919239182194
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.60000000000000 F_z    = -1.0564218676117605
Za =  -1.60000000000000 F_lorenz_left_cylinder_right_t =  (-1.0564218676117605, 31.30277052421018, 9.447236677606481, 22.91195571421546)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.60000000000000 F_z_t  = 2.4688144249013226
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.60000000000000 F_z_s  = -1.1547933842267941
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.60000000000000 F_z_v  = 1.567767239274337
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.60000000000000 F_z_sv = -0.4129738550475428
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.60000000000000 F_z    = 2.05584056985378
Za =  -4.60000000000000 F_lorenz_left_cylinder_left_t = (2.05584056985378, 2.4688144249013226, -1.1547933842267941, 1.567767239274337)
dz =  0.100000000000000 F_lorenz_cylinder =  3.1122624374655405
Ra = 0.900000000000000 Za = -1.70000000000000 H_phi_t = 4.532025131552119
Ra = 0.900000000000000 Za = -1.70000000000000 H_phi_s = -4.412225502750756
Ra = 0.900000000000000 Za = -1.70000000000000 H_phi   = 0.11979962880136341
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_t  = -43.82030393101107
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_s  = -7.306355005720922
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_v  = 16.31365792851581
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_sv = 9.007302922794887
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z    = -34.81300100821618
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-34.81300100821618, -43.82030393101107, -7.306355005720922, 16.31365792851581)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_t  = -6.7589803835589715
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_s  = -51.25378399155812
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_v  = 53.23185389031388
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_sv = 1.9780698987557557
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z    = -4.780910484803216
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-4.780910484803216, -6.7589803835589715, -51.25378399155812, 53.23185389031388)
dz =  0.200000000000000 F_nikolaev_cylinder =  30.03209052341297
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_t  = 26.83026169901379
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_s  = 5.9284305917488265
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_v  = 20.223414476031195
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z_sv = -26.151845067780023
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.70000000000000 F_z    = 0.678416631233766
Za =  -1.70000000000000 F_lorenz_left_cylinder_right_t =  (0.678416631233766, 26.83026169901379, 5.9284305917488265, 20.223414476031195)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.70000000000000 F_z_t  = 2.329010472479932
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.70000000000000 F_z_s  = -1.1008024322864587
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.70000000000000 F_z_v  = 1.4731996651636576
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.70000000000000 F_z_sv = -0.37239723287719895
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.70000000000000 F_z    = 1.956613239602733
Za =  -4.70000000000000 F_lorenz_left_cylinder_left_t = (1.956613239602733, 2.329010472479932, -1.1008024322864587, 1.4731996651636576)
dz =  0.200000000000000 F_lorenz_cylinder =  1.2781966083689669
Ra = 0.900000000000000 Za = -1.80000000000000 H_phi_t = 4.010703681798262
Ra = 0.900000000000000 Za = -1.80000000000000 H_phi_s = -3.6743802566872317
Ra = 0.900000000000000 Za = -1.80000000000000 H_phi   = 0.3363234251110301
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_t  = -41.019792348375034
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_s  = -7.517792382597245
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_v  = 15.162787585888529
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_sv = 7.644995203291284
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z    = -33.37479714508375
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-33.37479714508375, -41.019792348375034, -7.517792382597245, 15.162787585888529)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_t  = -8.345442668430309
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_s  = -47.72780168301978
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_v  = 50.79245489239999
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_sv = 3.064653209380211
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z    = -5.280789459050098
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-5.280789459050098, -8.345442668430309, -47.72780168301978, 50.79245489239999)
dz =  0.300000000000000 F_nikolaev_cylinder =  28.09400768603365
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_t  = 23.454309059452168
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_s  = 3.5308150032122145
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_v  = 17.911261669403345
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z_sv = -21.44207667261556
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.80000000000000 F_z    = 2.012232386836608
Za =  -1.80000000000000 F_lorenz_left_cylinder_right_t =  (2.012232386836608, 23.454309059452168, 3.5308150032122145, 17.911261669403345)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.80000000000000 F_z_t  = 2.199260631961021
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.80000000000000 F_z_s  = -1.0495269906986586
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.80000000000000 F_z_v  = 1.3859675722151708
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.80000000000000 F_z_sv = -0.3364405815165121
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.80000000000000 F_z    = 1.862820050444509
Za =  -4.80000000000000 F_lorenz_left_cylinder_left_t = (1.862820050444509, 2.199260631961021, -1.0495269906986586, 1.3859675722151708)
dz =  0.300000000000000 F_lorenz_cylinder =  -0.14941233639209917
Ra = 0.900000000000000 Za = -1.90000000000000 H_phi_t = 3.550262238677148
Ra = 0.900000000000000 Za = -1.90000000000000 H_phi_s = -3.0495343274211564
Ra = 0.900000000000000 Za = -1.90000000000000 H_phi   = 0.5007279112559915
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_t  = -38.47785714326204
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_s  = -7.595639429134559
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_v  = 14.122332544264006
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_sv = 6.526693115129447
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z    = -31.951164028132595
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-31.951164028132595, -38.47785714326204, -7.595639429134559, 14.122332544264006)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_t  = -9.448058984328338
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_s  = -44.76696596974934
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_v  = 48.47512385580814
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_sv = 3.7081578860587996
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z    = -5.739901098269538
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-5.739901098269538, -9.448058984328338, -44.76696596974934, 48.47512385580814)
dz =  0.400000000000000 F_nikolaev_cylinder =  26.211262929863057
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_t  = 20.747164914022466
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_s  = 1.8176608557143106
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_v  = 15.91311424952833
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z_sv = -17.730775105242643
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -1.90000000000000 F_z    = 3.0163898087798238
Za =  -1.90000000000000 F_lorenz_left_cylinder_right_t =  (3.0163898087798238, 20.747164914022466, 1.8176608557143106, 15.91311424952833)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.90000000000000 F_z_t  = 2.078703471597471
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.90000000000000 F_z_s  = -1.0008743733563057
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.90000000000000 F_z_v  = 1.3053860581481458
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.90000000000000 F_z_sv = -0.3045116847918401
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -4.90000000000000 F_z    = 1.7741917868056307
Za =  -4.90000000000000 F_lorenz_left_cylinder_left_t = (1.7741917868056307, 2.078703471597471, -1.0008743733563057, 1.3053860581481458)
dz =  0.400000000000000 F_lorenz_cylinder =  -1.242198021974193
Ra = 0.900000000000000 Za = -2.00000000000000 H_phi_t = 3.151068876244242
Ra = 0.900000000000000 Za = -2.00000000000000 H_phi_s = -2.5292097740438
Ra = 0.900000000000000 Za = -2.00000000000000 H_phi   = 0.621859102200442
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_t  = -36.15608133746947
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_s  = -7.580903982106314
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_v  = 13.18053117224154
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_sv = 5.599627190135227
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z    = -30.556454147334247
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-30.556454147334247, -36.15608133746947, -7.580903982106314, 13.18053117224154)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_t  = -10.226671468113555
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_s  = -42.20654250119115
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_v  = 46.278028403874906
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_sv = 4.071485902683754
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z    = -6.1551855654298
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-6.1551855654298, -10.226671468113555, -42.20654250119115, 46.278028403874906)
dz =  0.500000000000000 F_nikolaev_cylinder =  24.401268581904446
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_t  = 18.505362532016036
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_s  = 0.5733992830302908
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_v  = 14.18001767483376
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z_sv = -14.75341695786405
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.00000000000000 F_z    = 3.7519455741519856
Za =  -2.00000000000000 F_lorenz_left_cylinder_right_t =  (3.7519455741519856, 18.505362532016036, 0.5733992830302908, 14.18001767483376)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -5.00000000000000 F_z_t  = 1.9665622065905095
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -5.00000000000000 F_z_s  = -0.9547420044208448
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -5.00000000000000 F_z_v  = 1.2308440274182935
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -5.00000000000000 F_z_sv = -0.2761020229974487
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -5.00000000000000 F_z    = 1.6904601835930608
Za =  -5.00000000000000 F_lorenz_left_cylinder_left_t = (1.6904601835930608, 1.9665622065905095, -0.9547420044208448, 1.2308440274182935)
dz =  0.500000000000000 F_lorenz_cylinder =  -2.061485390558925
Ra = 0.900000000000000 Za = -2.50000000000000 H_phi_t = 1.847379009779727
Ra = 0.900000000000000 Za = -2.50000000000000 H_phi_s = -1.0286117861210633
Ra = 0.900000000000000 Za = -2.50000000000000 H_phi   = 0.8187672236586636
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_t  = -27.090757629600773
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_s  = -6.83521035135434
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_v  = 9.61499673536872
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_sv = 2.77978638401438
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z    = -24.310971245586394
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-24.310971245586394, -27.090757629600773, -6.83521035135434, 9.61499673536872)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_t  = -11.59872699982707
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_s  = -32.92551012337698
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_v  = 36.95630117853884
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_sv = 4.030791055161856
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z    = -7.567935944665214
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-7.567935944665214, -11.59872699982707, -32.92551012337698, 36.95630117853884)
dz =  1.00000000000000 F_nikolaev_cylinder =  16.74303530092118
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_t  = 11.25438513763216
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_s  = -2.0090288906285236
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_v  = 8.304857746496936
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z_sv = -6.295828855868412
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -2.50000000000000 F_z    = 4.958556281763749
Za =  -2.50000000000000 F_lorenz_left_cylinder_right_t =  (4.958556281763749, 11.25438513763216, -2.0090288906285236, 8.304857746496936)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -5.50000000000000 F_z_t  = 1.509746923168937
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -5.50000000000000 F_z_s  = -0.7580242194810421
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -5.50000000000000 F_z_v  = 0.9314741757130003
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -5.50000000000000 F_z_sv = -0.17344995623195814
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -5.50000000000000 F_z    = 1.3362969669369789
Za =  -5.50000000000000 F_lorenz_left_cylinder_left_t = (1.3362969669369789, 1.509746923168937, -0.7580242194810421, 0.9314741757130003)
dz =  1.00000000000000 F_lorenz_cylinder =  -3.62225931482677
Ra = 0.900000000000000 Za = -3.00000000000000 H_phi_t = 1.179315695643001
Ra = 0.900000000000000 Za = -3.00000000000000 H_phi_s = -0.45768724097956026
Ra = 0.900000000000000 Za = -3.00000000000000 H_phi   = 0.7216284546634408
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_t  = -20.987289048828917
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_s  = -5.80227433364873
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_v  = 7.323018321782492
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_sv = 1.5207439881337619
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z    = -19.466545060695154
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-19.466545060695154, -20.987289048828917, -5.80227433364873, 7.323018321782492)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_t  = -11.202223869756354
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_s  = -26.795606083673924
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_v  = 29.943257614606473
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_sv = 3.1476515309325492
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z    = -8.054572338823805
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-8.054572338823805, -11.202223869756354, -26.795606083673924, 29.943257614606473)
dz =  1.50000000000000 F_nikolaev_cylinder =  11.411972721871349
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_t  = 7.36207611516913
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_s  = -2.234935648368841
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_v  = 5.176717938808026
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z_sv = -2.941782290439185
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.00000000000000 F_z    = 4.420293824729946
Za =  -3.00000000000000 F_lorenz_left_cylinder_right_t =  (4.420293824729946, 7.36207611516913, -2.234935648368841, 5.176717938808026)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -6.00000000000000 F_z_t  = 1.1819339645567772
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -6.00000000000000 F_z_s  = -0.6080281055700572
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -6.00000000000000 F_z_v  = 0.7211140013979018
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -6.00000000000000 F_z_sv = -0.11308589582784467
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -6.00000000000000 F_z    = 1.0688480687289326
Za =  -6.00000000000000 F_lorenz_left_cylinder_left_t = (1.0688480687289326, 1.1819339645567772, -0.6080281055700572, 0.7211140013979018)
dz =  1.50000000000000 F_lorenz_cylinder =  -3.351445756001013
Ra = 0.900000000000000 Za = -3.50000000000000 H_phi_t = 0.7948884437798355
Ra = 0.900000000000000 Za = -3.50000000000000 H_phi_s = -0.2222332552136168
Ra = 0.900000000000000 Za = -3.50000000000000 H_phi   = 0.5726551885662187
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_t  = -16.722924565136875
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_s  = -4.869660248555365
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_v  = 5.770922889038454
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_sv = 0.9012626404830888
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z    = -15.821661924653785
Ra =  0.300000000000000 F_nikolaev_left_cylinder_inner_s =  (-15.821661924653785, -16.722924565136875, -4.869660248555365, 5.770922889038454)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_t  = -10.27863635842033
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_s  = -22.310423439548465
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_v  = 24.636750271121024
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_sv = 2.3263268315725583
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z    = -7.952309526847772
Ra =  1.50000000000000 F_nikolaev_left_cylinder_outer_s = (-7.952309526847772, -10.27863635842033, -22.310423439548465, 24.636750271121024)
dz =  2.00000000000000 F_nikolaev_cylinder =  7.869352397806013
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_t  = 5.0433466641048765
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_s  = -1.9181700227534269
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_v  = 3.4031628639664406
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z_sv = -1.4849928412130138
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -3.50000000000000 F_z    = 3.5583538228918625
Za =  -3.50000000000000 F_lorenz_left_cylinder_right_t =  (3.5583538228918625, 5.0433466641048765, -1.9181700227534269, 3.4031628639664406)
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -6.50000000000000 F_z_t  = 0.9412981201938949
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -6.50000000000000 F_z_s  = -0.4931058316639564
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -6.50000000000000 F_z_v  = 0.569243968725318
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -6.50000000000000 F_z_sv = -0.07613813706136163
Ra1 = 0.300000000000000 Ra2 = 1.50000000000000 Za = -6.50000000000000 F_z    = 0.8651599831325333
Za =  -6.50000000000000 F_lorenz_left_cylinder_left_t = (0.8651599831325333, 0.9412981201938949, -0.4931058316639564, 0.569243968725318)
dz =  2.00000000000000 F_lorenz_cylinder =  -2.693193839759329

Ra = (Rj1 + Rj2) / 2
Za = 0
h = calc_H_phi( At_diff_za_subs_zj, As_diff_ra_subs_rj, Za, Ra)

/usr3/articles/sagemath_docker_build/sage-9.1/local/lib/python3.7/site-packages/sage/repl/ipython_kernel/__main__.py:35: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.
  If increasing the limit yields no improvement it is advised to analyze 
  the integrand in order to determine the difficulties.  If the position of a 
  local difficulty can be determined (singularity, discontinuity) one will 
  probably gain from splitting up the interval and calling the integrator 
  on the subranges.  Perhaps a special-purpose integrator should be used.

Ra = 0.900000000000000 Za = 0 H_phi_t = -2.946214132385315
Ra = 0.900000000000000 Za = 0 H_phi_s = nan
Ra = 0.900000000000000 Za = 0 H_phi   = nan

/usr3/articles/sagemath_docker_build/sage-9.1/local/lib/python3.7/site-packages/sage/repl/ipython_kernel/__main__.py:35: IntegrationWarning: The occurrence of roundoff error is detected, which prevents 
  the requested tolerance from being achieved.  The error may be 
  underestimated.

dr = 0.01
dz = 0.04
Za = 0
for Ra in(Rj1 - dr, Rj1 + dr, (Rj1 + Rj2)/2, Rj2 - dr, Rj2 + dr, 2 * Rj2, 10 * Rj2):
    h = calc_H_phi( At_diff_za_subs_zj, As_diff_ra_subs_rj, Za, Ra)

Ra = 0.290000000000000 Za = 0 H_phi_t = -3.386747752030594
Ra = 0.290000000000000 Za = 0 H_phi_s = 0.40678948583773067
Ra = 0.290000000000000 Za = 0 H_phi   = -2.979958266192863

/usr3/articles/sagemath_docker_build/sage-9.1/local/lib/python3.7/site-packages/sage/repl/ipython_kernel/__main__.py:35: IntegrationWarning: The integral is probably divergent, or slowly convergent.

Ra = 0.310000000000000 Za = 0 H_phi_t = -3.379589544369999
Ra = 0.310000000000000 Za = 0 H_phi_s = -12.133552134121588
Ra = 0.310000000000000 Za = 0 H_phi   = -15.513141678491587

/usr3/articles/sagemath_docker_build/sage-9.1/local/lib/python3.7/site-packages/sage/repl/ipython_kernel/__main__.py:35: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.
  If increasing the limit yields no improvement it is advised to analyze 
  the integrand in order to determine the difficulties.  If the position of a 
  local difficulty can be determined (singularity, discontinuity) one will 
  probably gain from splitting up the interval and calling the integrator 
  on the subranges.  Perhaps a special-purpose integrator should be used.
/usr3/articles/sagemath_docker_build/sage-9.1/local/lib/python3.7/site-packages/sage/repl/ipython_kernel/__main__.py:35: IntegrationWarning: The occurrence of roundoff error is detected, which prevents 
  the requested tolerance from being achieved.  The error may be 
  underestimated.

Ra = 0.900000000000000 Za = 0 H_phi_t = -2.946214132385315
Ra = 0.900000000000000 Za = 0 H_phi_s = nan
Ra = 0.900000000000000 Za = 0 H_phi   = nan
Ra = 1.49000000000000 Za = 0 H_phi_t = -2.170556321566785
Ra = 1.49000000000000 Za = 0 H_phi_s = -11.649582641603057
Ra = 1.49000000000000 Za = 0 H_phi   = -13.820138963169843
Ra = 1.51000000000000 Za = 0 H_phi_t = -2.141833989457342
Ra = 1.51000000000000 Za = 0 H_phi_s = 0.9084390627924321
Ra = 1.51000000000000 Za = 0 H_phi   = -1.2333949266649098
Ra = 3.00000000000000 Za = 0 H_phi_t = -0.6289858191740627
Ra = 3.00000000000000 Za = 0 H_phi_s = 0.2500486265121036
Ra = 3.00000000000000 Za = 0 H_phi   = -0.37893719266195913
Ra = 15.0000000000000 Za = 0 H_phi_t = -0.006010885960632351
Ra = 15.0000000000000 Za = 0 H_phi_s = 0.0006147120531279915
Ra = 15.0000000000000 Za = 0 H_phi   = -0.00539617390750436

Результирующий график силы Лоренца приложенной к левому цилиндру в зависимости от зазора.

Результат расчёта силы притяжения между тороидально намагниченными цилиндрами (поперечная сила Ампера-Лоренца) в зависимости от зазора в сантиметрах. На графике зазор в сантиметрах. Сила в относительных единицах.

#list_plot(plot_data_f_lorenz_dz).show()

Результирующий график силы Лоренца приложенной к левому цилиндру в зависимости от координаты правого торца левого цилиндра

list_plot(plot_data_f_lorenz_Za).show()

Результирующий график силы Николаева приложенной к левому цилиндру в зависимости от зазора.

#list_plot(plot_data_f_nikolaev_dz).show()

Результирующий график силы Николаева приложенной к левому цилиндру в зависимости от координаты правого торца левого цилиндра

list_plot(plot_data_f_nikolaev_Za).show()

Результирующий график силы Николаева + силы Лоренца приложенной к левому цилиндру в зависимости от координаты правого торца левого цилиндра

list_plot(plot_data_f_sum_Za).show()

Результаты расчёта силы притяжения между тороидально намагниченными цилиндрами в зависимости от зазора позволяют сделать вывод о том, что поперечная сила Ампера-Лоренца при величине зазора меньше определённого предела работает на притяжение цилиндров, которое собственно и зафиксировано в опыте. При величине зазора больше определённого предела поперечная сила Ампера-Лоренца работает на отталкивание цилиндров.

Этот момент в опыте Дейны зафиксирован не был, ввиду того, что при планировании эксперимента вопрос о зависимости направления силы взаимодействия от зазора между цилиндрами не ставился.

На взгляд автора для дальнейших исследований необходима следующая постановка эксперимента. Установить зазор между цилиндрами более 3 мм. И показать направление силы их взаимодействия: притягивание или отталкивание.

Таким образом в данной работе показано, что для доказательства существования продольной силы Николаева с помощью опыта Дейны (опыт Николаева 31) совершенно недостаточно установления факта притяжения цилиндров при зазоре между их торцами менее 3 мм. Для выяснения этого вопроса необходимы дальнейшие экспериментальные исследования.

К вопросу о теореме циркуляции магнитного поля в плоскости вне материала тороидально намагниченного цилиндра

Результирующий график векторного магнитного поля $H$ (компонента $\varphi$) на расстоянии Ra = 0.9 см от оси цилиндрической системы координат в зависимости от координаты точки наблюдения $Z_a$

list_plot(plot_data_h).show()

Может показаться, что полученные в данной работе результаты о налиции угловой компоненты векторного магнитного поля за пределами материала тороидально намагниченного цилиндра противоречат теореме о циркуляции магнитного поля.

$\oint {\vec B}\cdot {\vec {dl}}={\frac {4\pi }{c}}\int {\vec j}\cdot {\vec {ds}}$

Действительно, циркуляция магнитного поля взятая по окружности отстоящей на некотором расстоянии от торца тороидально намагниченного цилиндра отлична от нуля, в то время как молекулярные токи намагниченности не пересекают плоскость, натянутую на эту окружность.

Это кажущееся противоречие разрешается тем, что данную плоскость пересекают токи смещения продуцированные молекулярными токами намагниченности цилиндра.

Исходя из определения ротора в цилиндрических координатах и того факта что в данной конфигурации отлична от нуля только $H_{\varphi}$ компонента магнитного поля для ротора $H$ будут отличными от нуля следующие две компоненты

$rot\,H_r = -\frac{\partial}{\partial z_a}H_{\varphi}$

$rot\,H_z = \frac{1}{r_a}\frac{\partial}{\partial r_a}(r_a\,H_{\varphi})$

где

$H_{\varphi}=\frac{\partial}{\partial z_a}A_T - \frac{\partial}{\partial r_a}(A_S+A_V)$

Итак,

$rot\,H_r = -\frac{\partial}{\partial z_a}\frac{\partial}{\partial z_a}A_T+\frac{\partial}{\partial z_a}\frac{\partial}{\partial r_a}(A_S+A_V)$

$rot\,H_z = \frac{1}{r_a}\frac{\partial}{\partial r_a}(r_a\,\frac{\partial}{\partial z_a}A_T)-\frac{1}{r_a}\frac{\partial}{\partial r_a}(r_a\,\frac{\partial}{\partial r_a}(A_S+A_V))$

At2_diff_za_mult_ra_diff_ra_div_ra = lambda I0, rj, ra, zj1, zj2, za : (1/ra)*(ra*At2_diff_za (I0, rj, ra, zj1, zj2, za)).diff(ra)
print(At2_diff_za_mult_ra_diff_ra_div_ra (I0, rj, ra, zj1, zj2, za))

-2*(2*I0*rj*(za - zj1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2))/((ra - rj)^2 + (za - zj1)^2)^(3/2) - 2*I0*rj*(za - zj2)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2))/((ra - rj)^2 + (za - zj2)^2)^(3/2) - (6*I0*(ra - rj)*rj*(za - zj1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2))/((ra - rj)^2 + (za - zj1)^2)^(5/2) - 6*I0*(ra - rj)*rj*(za - zj2)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2))/((ra - rj)^2 + (za - zj2)^2)^(5/2) - ((4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj1)^2)^2 - rj/((ra - rj)^2 + (za - zj1)^2))*(za - zj1)/(sqrt((ra - rj)^2 + (za - zj1)^2)*ra*(4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)) - (8*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj1)^2)^2 - rj/((ra - rj)^2 + (za - zj1)^2))*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)) - ((ra - rj)^2 + (za - zj1)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)))*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj1)^2)^2 - rj/((ra - rj)^2 + (za - zj1)^2))/(ra*rj) - ((ra - rj)^2 + (za - zj1)^2)*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj1)^2)^2 - rj/((ra - rj)^2 + (za - zj1)^2))*(elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)) - elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)))/(ra*rj))*I0*rj*(za - zj1)/(((ra - rj)^2 + (za - zj1)^2)^(3/2)*(4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)) - 6*((4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)))*I0*(ra - rj)*rj*(za - zj1)/(((ra - rj)^2 + (za - zj1)^2)^(5/2)*(4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)) + 8*((4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj1)^2)^2 - rj/((ra - rj)^2 + (za - zj1)^2))*rj*(za - zj1)/(((ra - rj)^2 + (za - zj1)^2)^(3/2)*(4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)^2) + ((4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj2)^2)^2 - rj/((ra - rj)^2 + (za - zj2)^2))*(za - zj2)/(sqrt((ra - rj)^2 + (za - zj2)^2)*ra*(4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)) + (8*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj2)^2)^2 - rj/((ra - rj)^2 + (za - zj2)^2))*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)) - ((ra - rj)^2 + (za - zj2)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)))*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj2)^2)^2 - rj/((ra - rj)^2 + (za - zj2)^2))/(ra*rj) - ((ra - rj)^2 + (za - zj2)^2)*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj2)^2)^2 - rj/((ra - rj)^2 + (za - zj2)^2))*(elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)) - elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)))/(ra*rj))*I0*rj*(za - zj2)/(((ra - rj)^2 + (za - zj2)^2)^(3/2)*(4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)) + 6*((4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)))*I0*(ra - rj)*rj*(za - zj2)/(((ra - rj)^2 + (za - zj2)^2)^(5/2)*(4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)) - 8*((4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj2)^2)^2 - rj/((ra - rj)^2 + (za - zj2)^2))*rj*(za - zj2)/(((ra - rj)^2 + (za - zj2)^2)^(3/2)*(4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)^2))*ra - 2*((4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj1)^2)))*I0*rj*(za - zj1)/(((ra - rj)^2 + (za - zj1)^2)^(3/2)*(4*ra*rj/((ra - rj)^2 + (za - zj1)^2) + 1)) + 2*((4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj2)^2)))*I0*rj*(za - zj2)/(((ra - rj)^2 + (za - zj2)^2)^(3/2)*(4*ra*rj/((ra - rj)^2 + (za - zj2)^2) + 1)))/ra

As2_diff_ra_mult_ra_diff_ra_div_ra = lambda I0, rj1, rj2, ra, zj, za : (1/ra)*(ra*As2_diff_ra (I0, rj1, rj2, ra, zj, za)).diff(ra)
print (As2_diff_ra_mult_ra_diff_ra_div_ra (I0, rj1, rj2, ra, zj, za))

(4*I0*(ra - rj1)*rj1*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2))/((ra - rj1)^2 + (za - zj)^2)^(3/2) - 4*I0*(ra - rj2)*rj2*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2))/((ra - rj2)^2 + (za - zj)^2)^(3/2) - (12*I0*(ra - rj1)^2*rj1*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2))/((ra - rj1)^2 + (za - zj)^2)^(5/2) - 12*I0*(ra - rj2)^2*rj2*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2))/((ra - rj2)^2 + (za - zj)^2)^(5/2) - sqrt((ra - rj1)^2 + (za - zj)^2)*(8*(2*(ra - rj1)*ra*rj1/((ra - rj1)^2 + (za - zj)^2)^2 - rj1/((ra - rj1)^2 + (za - zj)^2))*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)) - ((ra - rj1)^2 + (za - zj)^2)*((4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)))*(2*(ra - rj1)*ra*rj1/((ra - rj1)^2 + (za - zj)^2)^2 - rj1/((ra - rj1)^2 + (za - zj)^2))/(ra*rj1) - ((ra - rj1)^2 + (za - zj)^2)*(2*(ra - rj1)*ra*rj1/((ra - rj1)^2 + (za - zj)^2)^2 - rj1/((ra - rj1)^2 + (za - zj)^2))*(elliptic_ec(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)) - elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)))/(ra*rj1))*I0*(2*(ra - rj1)*ra*rj1/((ra - rj1)^2 + (za - zj)^2)^2 - rj1/((ra - rj1)^2 + (za - zj)^2))/(ra*(4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)) + 8*sqrt((ra - rj1)^2 + (za - zj)^2)*((4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)))*I0*(2*(ra - rj1)*ra*rj1/((ra - rj1)^2 + (za - zj)^2)^2 - rj1/((ra - rj1)^2 + (za - zj)^2))^2/(ra*(4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)^2) - 4*sqrt((ra - rj1)^2 + (za - zj)^2)*((4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)))*I0*(4*(ra - rj1)^2*ra*rj1/((ra - rj1)^2 + (za - zj)^2)^3 - 2*(ra - rj1)*rj1/((ra - rj1)^2 + (za - zj)^2)^2 - ra*rj1/((ra - rj1)^2 + (za - zj)^2)^2)/(ra*(4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)) + sqrt((ra - rj2)^2 + (za - zj)^2)*(8*(2*(ra - rj2)*ra*rj2/((ra - rj2)^2 + (za - zj)^2)^2 - rj2/((ra - rj2)^2 + (za - zj)^2))*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)) - ((ra - rj2)^2 + (za - zj)^2)*((4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)))*(2*(ra - rj2)*ra*rj2/((ra - rj2)^2 + (za - zj)^2)^2 - rj2/((ra - rj2)^2 + (za - zj)^2))/(ra*rj2) - ((ra - rj2)^2 + (za - zj)^2)*(2*(ra - rj2)*ra*rj2/((ra - rj2)^2 + (za - zj)^2)^2 - rj2/((ra - rj2)^2 + (za - zj)^2))*(elliptic_ec(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)) - elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)))/(ra*rj2))*I0*(2*(ra - rj2)*ra*rj2/((ra - rj2)^2 + (za - zj)^2)^2 - rj2/((ra - rj2)^2 + (za - zj)^2))/(ra*(4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)) - 8*sqrt((ra - rj2)^2 + (za - zj)^2)*((4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)))*I0*(2*(ra - rj2)*ra*rj2/((ra - rj2)^2 + (za - zj)^2)^2 - rj2/((ra - rj2)^2 + (za - zj)^2))^2/(ra*(4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)^2) + 4*sqrt((ra - rj2)^2 + (za - zj)^2)*((4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)))*I0*(4*(ra - rj2)^2*ra*rj2/((ra - rj2)^2 + (za - zj)^2)^3 - 2*(ra - rj2)*rj2/((ra - rj2)^2 + (za - zj)^2)^2 - ra*rj2/((ra - rj2)^2 + (za - zj)^2)^2)/(ra*(4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)) - 4*I0*rj1*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2))/((ra - rj1)^2 + (za - zj)^2)^(3/2) + 4*I0*rj2*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2))/((ra - rj2)^2 + (za - zj)^2)^(3/2) - 2*sqrt((ra - rj1)^2 + (za - zj)^2)*((4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)))*I0*(2*(ra - rj1)*ra*rj1/((ra - rj1)^2 + (za - zj)^2)^2 - rj1/((ra - rj1)^2 + (za - zj)^2))/(ra^2*(4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)) + 2*sqrt((ra - rj2)^2 + (za - zj)^2)*((4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)))*I0*(2*(ra - rj2)*ra*rj2/((ra - rj2)^2 + (za - zj)^2)^2 - rj2/((ra - rj2)^2 + (za - zj)^2))/(ra^2*(4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)))*ra - 2*sqrt((ra - rj1)^2 + (za - zj)^2)*((4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj1/((ra - rj1)^2 + (za - zj)^2)))*I0*(2*(ra - rj1)*ra*rj1/((ra - rj1)^2 + (za - zj)^2)^2 - rj1/((ra - rj1)^2 + (za - zj)^2))/(ra*(4*ra*rj1/((ra - rj1)^2 + (za - zj)^2) + 1)) + 2*sqrt((ra - rj2)^2 + (za - zj)^2)*((4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj2/((ra - rj2)^2 + (za - zj)^2)))*I0*(2*(ra - rj2)*ra*rj2/((ra - rj2)^2 + (za - zj)^2)^2 - rj2/((ra - rj2)^2 + (za - zj)^2))/(ra*(4*ra*rj2/((ra - rj2)^2 + (za - zj)^2) + 1)))/ra

exec(preparse("At_diff_za_mult_ra_diff_ra_div_ra_subs_zj = lambda rj, ra, za : " + str(At2_diff_za_mult_ra_diff_ra_div_ra (1, rj, ra, Zj1, Zj2, za))))
# print (At_diff_za_mult_ra_diff_ra_div_ra_subs_zj (rj, ra, za))

exec(preparse("As_diff_ra_mult_ra_diff_ra_div_ra_subs_rj = lambda ra, zj, za : " + str(As2_diff_ra_mult_ra_diff_ra_div_ra (1, Rj1, Rj2, ra, zj, za))))
# print (As_diff_ra_mult_ra_diff_ra_div_ra_subs_rj (ra, zj, za))

exec(preparse("Av_diff_ra_mult_ra_diff_ra_div_ra = lambda I0, rj, ra, zj, za : " + str((1/ra)*(ra*Av_diff_ra(I0, rj, ra, zj, za)).diff(ra))))
print (Av_diff_ra_mult_ra_diff_ra_div_ra (I0, rj, ra, zj, za))

-((12*I0*(ra - rj)^2*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2))/((ra - rj)^2 + (za - zj)^2)^(5/2) - sqrt((ra - rj)^2 + (za - zj)^2)*(8*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj)^2)^2 - rj/((ra - rj)^2 + (za - zj)^2))*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - ((ra - rj)^2 + (za - zj)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj)^2)^2 - rj/((ra - rj)^2 + (za - zj)^2))/(ra*rj) - ((ra - rj)^2 + (za - zj)^2)*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj)^2)^2 - rj/((ra - rj)^2 + (za - zj)^2))*(elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))/(ra*rj))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj)^2)^2 - rj/((ra - rj)^2 + (za - zj)^2))/(ra*(4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*rj) + 8*sqrt((ra - rj)^2 + (za - zj)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj)^2)^2 - rj/((ra - rj)^2 + (za - zj)^2))^2/(ra*(4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)^2*rj) - 4*sqrt((ra - rj)^2 + (za - zj)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))*I0*(4*(ra - rj)^2*ra*rj/((ra - rj)^2 + (za - zj)^2)^3 - 2*(ra - rj)*rj/((ra - rj)^2 + (za - zj)^2)^2 - ra*rj/((ra - rj)^2 + (za - zj)^2)^2)/(ra*(4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*rj) - 4*I0*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2))/((ra - rj)^2 + (za - zj)^2)^(3/2) - 2*sqrt((ra - rj)^2 + (za - zj)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj)^2)^2 - rj/((ra - rj)^2 + (za - zj)^2))/(ra^2*(4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*rj))*ra - 4*I0*(ra - rj)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2))/((ra - rj)^2 + (za - zj)^2)^(3/2) + 2*sqrt((ra - rj)^2 + (za - zj)^2)*((4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*elliptic_kc(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)) - elliptic_ec(-4*ra*rj/((ra - rj)^2 + (za - zj)^2)))*I0*(2*(ra - rj)*ra*rj/((ra - rj)^2 + (za - zj)^2)^2 - rj/((ra - rj)^2 + (za - zj)^2))/(ra*(4*ra*rj/((ra - rj)^2 + (za - zj)^2) + 1)*rj))/ra

AV_diff_ra_mult_ra_diff_ra_div_ra = lambda I0, rj1, rj2, ra, zj, za : num_int(lambda rj : Av_diff_ra_mult_ra_diff_ra_div_ra(I0, rj, ra, zj, za), rj1, rj2)

Av_diff_ra_mult_ra_diff_ra_div_ra_subs_rj = lambda ra, zj, za : AV_diff_ra_mult_ra_diff_ra_div_ra (1, Rj1, Rj2, ra, zj, za)
# print (Av_diff_ra_mult_ra_diff_ra_div_ra_subs_rj(ra, zj, za))

def calc_rot_H_z(Za, Ra):
    At_diff_za_mult_ra_diff_ra_div_ra_subs_zj_subs_za_ra = lambda rj : At_diff_za_mult_ra_diff_ra_div_ra_subs_zj(rj, Ra, Za)
    As_diff_ra_mult_ra_diff_ra_div_ra_subs_rj_subs_za_ra = lambda zj : As_diff_ra_mult_ra_diff_ra_div_ra_subs_rj(Ra, zj, Za)

    At_diff_za_mult_ra_diff_ra_div_ra_num_int = At_diff_za_mult_ra_diff_ra_div_ra_subs_zj_subs_za_ra(rj).nintegral(rj, Rj1, Rj2)
    As_diff_ra_mult_ra_diff_ra_div_ra_num_int = As_diff_ra_mult_ra_diff_ra_div_ra_subs_rj_subs_za_ra(zj).nintegral(zj, Zj1, Zj2)
    Av_diff_ra_mult_ra_diff_ra_div_ra_num_int = num_int( lambda zj : Av_diff_ra_mult_ra_diff_ra_div_ra_subs_rj(Ra, zj, Za), Zj1, Zj2)
    As_v_diff_ra_mult_ra_diff_ra_div_ra_num_int = As_diff_ra_mult_ra_diff_ra_div_ra_num_int[0] + Av_diff_ra_mult_ra_diff_ra_div_ra_num_int

    rot_H_z = At_diff_za_mult_ra_diff_ra_div_ra_num_int[0] - As_v_diff_ra_mult_ra_diff_ra_div_ra_num_int

    print ("Ra =", Ra, "Za =", Za, "rot_H_z =", rot_H_z)

    return rot_H_z

Теорема о циркуляции магнитного поля записывается следующим образом

$\oint {\vec B}\cdot {\vec {dl}}={\frac {4\pi }{c}}\int {\vec j}\cdot {\vec {ds}}$

Вне материала цилиндра ток проводимости (равно как и молекулярный ток намагниченности) равен нулю.

Поэтому единственно возможный вариант в этом случае принять, что циркуляция магнитного поля в плоскости не пересекающей материал тороидально намагниченного цилиндра, обусловлена токами смещения

$\vec{j_{см}} = \frac{c}{4\pi}\, rot\,\vec{H}$

Подставляя данное выражение для тока смещения в теорему о циркуляции приходим к тождеству

$\oint {\vec B}\cdot {\vec {dl}}= \int { rot\,\vec{H}}\cdot {\vec {ds}}$

проверкой которого и займёмся

$2\,\pi\,R_a\,\mu H_z = \int\limits_{0}^{2\pi}\int\limits_{0}^{R_a} r\,rot\,H_z\,{dr}\,{d\varphi}$

$2\,\pi\,R_a\,\mu H_z = 2\,\pi\, \int\limits_{0}^{R_a} r\,rot\,H_z\,{dr}$

dr = 0.01
dz = 0.04
Za = Zj1 - dz
circ_H_J_z = []
for Ra in(Rj1 - dr, Rj1 + dr, (Rj1 + Rj2)/2, Rj2 - dr, Rj2 + dr, 2 * Rj2, 10 * Rj2):
    (H_phi, H_phi_t, H_phi_s) = calc_H_phi( At_diff_za_subs_zj, As_diff_ra_subs_rj, Za, Ra)
    circ_H = 2 * pi * Ra * H_phi
    print ("circ_H (", Ra, ") = ", circ_H)

    J_z = 2 * pi * num_int( lambda ra : ra * calc_rot_H_z(Za, ra), 0, Ra)
    print ("J_z (", Ra, ") = ", J_z)
    
    circ_H_J_z += [((Ra, Za), (circ_H, J_z))]

Ra = 0.290000000000000 Za = -1.54000000000000 H_phi_t = 2.419092454177002
Ra = 0.290000000000000 Za = -1.54000000000000 H_phi_s = -2.605503698084907
Ra = 0.290000000000000 Za = -1.54000000000000 H_phi   = -0.1864112439079051
circ_H ( 0.290000000000000 ) =  -0.108118521466585*pi
Ra = 0.145 Za = -1.54000000000000 rot_H_z = -1.5969858479306458
Ra = 0.0037835533650101005 Za = -1.54000000000000 rot_H_z = 8.137642796027171
Ra = 0.2862164466349899 Za = -1.54000000000000 rot_H_z = -0.8108247866716596
Ra = 0.01956581183009723 Za = -1.54000000000000 rot_H_z = -1.1042591522737024
Ra = 0.2704341881699027 Za = -1.54000000000000 rot_H_z = -0.865446189283368
Ra = 0.046485612596641454 Za = -1.54000000000000 rot_H_z = -2.006022142638341
Ra = 0.2435143874033585 Za = -1.54000000000000 rot_H_z = -1.0088663353214713
Ra = 0.08215766785125915 Za = -1.54000000000000 rot_H_z = -1.9701034998938507
Ra = 0.20784233214874082 Za = -1.54000000000000 rot_H_z = -1.2172899723284587
Ra = 0.12341322084766346 Za = -1.54000000000000 rot_H_z = -1.7316005491538893
Ra = 0.16658677915233652 Za = -1.54000000000000 rot_H_z = -1.4640983012759223
Ra = 0.0006297113612578342 Za = -1.54000000000000 rot_H_z = 67.25422999257134
Ra = 0.28937028863874215 Za = -1.54000000000000 rot_H_z = -0.8053777674338818
Ra = 0.010127163753422291 Za = -1.54000000000000 rot_H_z = 0.856679280497544
Ra = 0.27987283624657766 Za = -1.54000000000000 rot_H_z = -0.8279986673618183
Ra = 0.03178142964496955 Za = -1.54000000000000 rot_H_z = -1.781208503565022
Ra = 0.25821857035503043 Za = -1.54000000000000 rot_H_z = -0.9266706516458143
Ra = 0.06340021547305232 Za = -1.54000000000000 rot_H_z = -2.034894124230924
Ra = 0.22659978452694768 Za = -1.54000000000000 rot_H_z = -1.10709593983991
Ra = 0.10231303490828826 Za = -1.54000000000000 rot_H_z = -1.8605203031654343
Ra = 0.18768696509171173 Za = -1.54000000000000 rot_H_z = -1.3368533250897379
Ra = 0.0725 Za = -1.54000000000000 rot_H_z = -2.0106666157080153
Ra = 0.0018917766825050503 Za = -1.54000000000000 rot_H_z = 19.916446094125416
Ra = 0.14310822331749495 Za = -1.54000000000000 rot_H_z = -1.6087470295833954
Ra = 0.009782905915048615 Za = -1.54000000000000 rot_H_z = 1.0056385577888358
Ra = 0.13521709408495136 Za = -1.54000000000000 rot_H_z = -1.6579342808935928
Ra = 0.023242806298320727 Za = -1.54000000000000 rot_H_z = -1.403228613945751
Ra = 0.12175719370167926 Za = -1.54000000000000 rot_H_z = -1.7419058031514063
Ra = 0.041078833925629575 Za = -1.54000000000000 rot_H_z = -1.9577922233784493
Ra = 0.10392116607437041 Za = -1.54000000000000 rot_H_z = -1.8509862492482236
Ra = 0.06170661042383173 Za = -1.54000000000000 rot_H_z = -2.037236175586288
Ra = 0.08329338957616826 Za = -1.54000000000000 rot_H_z = -1.9646451910773974
Ra = 0.0003148556806289171 Za = -1.54000000000000 rot_H_z = 138.24264281768194
Ra = 0.14468514431937107 Za = -1.54000000000000 rot_H_z = -1.5989422838415797
Ra = 0.005063581876711146 Za = -1.54000000000000 rot_H_z = 5.175482049545809
Ra = 0.13993641812328883 Za = -1.54000000000000 rot_H_z = -1.6284962538882732
Ra = 0.015890714822484775 Za = -1.54000000000000 rot_H_z = -0.6400376972205737
Ra = 0.12910928517751522 Za = -1.54000000000000 rot_H_z = -1.6960742743689625
Ra = 0.03170010773652616 Za = -1.54000000000000 rot_H_z = -1.778881645707569
Ra = 0.11329989226347384 Za = -1.54000000000000 rot_H_z = -1.7942010743298606
Ra = 0.05115651745414413 Za = -1.54000000000000 rot_H_z = -2.0284106108580704
Ra = 0.09384348254585587 Za = -1.54000000000000 rot_H_z = -1.9092500519106315
Ra = 0.21749999999999997 Za = -1.54000000000000 rot_H_z = -1.1604477896333751
Ra = 0.14689177668250503 Za = -1.54000000000000 rot_H_z = -1.5852399617586403
Ra = 0.2881082233174949 Za = -1.54000000000000 rot_H_z = -0.8072894094871828
Ra = 0.1547829059150486 Za = -1.54000000000000 rot_H_z = -1.5364358414317376
Ra = 0.2802170940849513 Za = -1.54000000000000 rot_H_z = -0.8268761942799046
Ra = 0.1682428062983207 Za = -1.54000000000000 rot_H_z = -1.4540175581743533
Ra = 0.2667571937016792 Za = -1.54000000000000 rot_H_z = -0.882757833768089
Ra = 0.18607883392562954 Za = -1.54000000000000 rot_H_z = -1.346465639949698
Ra = 0.2489211660743704 Za = -1.54000000000000 rot_H_z = -0.9780603616756238
Ra = 0.2067066104238317 Za = -1.54000000000000 rot_H_z = -1.2239901517710212
Ra = 0.22829338957616824 Za = -1.54000000000000 rot_H_z = -1.0971920485303333
Ra = 0.1453148556806289 Za = -1.54000000000000 rot_H_z = -1.5950298361208608
Ra = 0.28968514431937104 Za = -1.54000000000000 rot_H_z = -0.8049582020248849
Ra = 0.15006358187671112 Za = -1.54000000000000 rot_H_z = -1.565584345964826
Ra = 0.28493641812328885 Za = -1.54000000000000 rot_H_z = -0.813654309991044
Ra = 0.16089071482248474 Za = -1.54000000000000 rot_H_z = -1.4989003824419411
Ra = 0.2741092851775152 Za = -1.54000000000000 rot_H_z = -0.849494042985171
Ra = 0.17670010773652614 Za = -1.54000000000000 rot_H_z = -1.402793676852843
Ra = 0.25829989226347383 Za = -1.54000000000000 rot_H_z = -0.9262341215720191
Ra = 0.1961565174541441 Za = -1.54000000000000 rot_H_z = -1.2864233752075585
Ra = 0.23884348254585583 Za = -1.54000000000000 rot_H_z = -1.0357896810488292
J_z ( 0.290000000000000 ) =  -0.10811852146666323*pi
Ra = 0.310000000000000 Za = -1.54000000000000 H_phi_t = 3.377583381172038
Ra = 0.310000000000000 Za = -1.54000000000000 H_phi_s = -3.567618164725766
Ra = 0.310000000000000 Za = -1.54000000000000 H_phi   = -0.19003478355372794
circ_H ( 0.310000000000000 ) =  -0.117821565803311*pi
Ra = 0.155 Za = -1.54000000000000 rot_H_z = -1.535097949189229
Ra = 0.004044488079838371 Za = -1.54000000000000 rot_H_z = 7.380401160417594
Ra = 0.3059555119201616 Za = -1.54000000000000 rot_H_z = -0.815887357934848
Ra = 0.0209151781632074 Za = -1.54000000000000 rot_H_z = -1.2285368718817726
Ra = 0.2890848218367926 Za = -1.54000000000000 rot_H_z = -0.8057781070147954
Ra = 0.049691516913651215 Za = -1.54000000000000 rot_H_z = -2.0229463991760763
Ra = 0.2603084830863488 Za = -1.54000000000000 rot_H_z = -0.9155466008596527
Ra = 0.08782371390996668 Za = -1.54000000000000 rot_H_z = -1.9417898414252797
Ra = 0.22217628609003331 Za = -1.54000000000000 rot_H_z = -1.1330043173991733
Ra = 0.13192447745784716 Za = -1.54000000000000 rot_H_z = -1.6784941703751017
Ra = 0.17807552254215284 Za = -1.54000000000000 rot_H_z = -1.3945028471042304
Ra = 0.00067313973099975 Za = -1.54000000000000 rot_H_z = 62.67479340796559
Ra = 0.30932686026900025 Za = -1.54000000000000 rot_H_z = -0.8254989010247868
Ra = 0.01082558883986523 Za = -1.54000000000000 rot_H_z = 0.5847756283819194
Ra = 0.29917441116013477 Za = -1.54000000000000 rot_H_z = -0.803623821185127
Ra = 0.03397325237910538 Za = -1.54000000000000 rot_H_z = -1.8376938487366057
Ra = 0.27602674762089463 Za = -1.54000000000000 rot_H_z = -0.8418156302745814
Ra = 0.06777264412636627 Za = -1.54000000000000 rot_H_z = -2.0254286587847665
Ra = 0.24222735587363373 Za = -1.54000000000000 rot_H_z = -1.0162615423720105
Ra = 0.10936910628127366 Za = -1.54000000000000 rot_H_z = -1.8182084642821628
Ra = 0.20063089371872633 Za = -1.54000000000000 rot_H_z = -1.2598991355718372
Ra = 0.0775 Za = -1.54000000000000 rot_H_z = -1.9911145210924706
Ra = 0.0020222440399191854 Za = -1.54000000000000 rot_H_z = 18.394388986152777
Ra = 0.1529777559600808 Za = -1.54000000000000 rot_H_z = -1.5475708011341558
Ra = 0.0104575890816037 Za = -1.54000000000000 rot_H_z = 0.7233087198794763
Ra = 0.1445424109183963 Za = -1.54000000000000 rot_H_z = -1.5998293321050117
Ra = 0.024845758456825608 Za = -1.54000000000000 rot_H_z = -1.5006035604556303
Ra = 0.1301542415431744 Za = -1.54000000000000 rot_H_z = -1.6895493779732007
Ra = 0.04391185695498334 Za = -1.54000000000000 rot_H_z = -1.9865909506999473
Ra = 0.11108814304501666 Za = -1.54000000000000 rot_H_z = -1.807740130422912
Ra = 0.06596223872892358 Za = -1.54000000000000 rot_H_z = -2.0298979972280957
Ra = 0.08903776127107642 Za = -1.54000000000000 rot_H_z = -1.935405742185897
Ra = 0.000336569865499875 Za = -1.54000000000000 rot_H_z = 129.0824699028825
Ra = 0.15466343013450012 Za = -1.54000000000000 rot_H_z = -1.5371722530214829
Ra = 0.005412794419932615 Za = -1.54000000000000 rot_H_z = 4.612593543094054
Ra = 0.14958720558006738 Za = -1.54000000000000 rot_H_z = -1.568533248206914
Ra = 0.01698662618955269 Za = -1.54000000000000 rot_H_z = -0.802207336927065
Ra = 0.13801337381044732 Za = -1.54000000000000 rot_H_z = -1.6404854557196398
Ra = 0.033886322063183136 Za = -1.54000000000000 rot_H_z = -1.8356670033375893
Ra = 0.12111367793681686 Za = -1.54000000000000 rot_H_z = -1.7459061422688498
Ra = 0.05468455314063683 Za = -1.54000000000000 rot_H_z = -2.036702348968246
Ra = 0.10031544685936317 Za = -1.54000000000000 rot_H_z = -1.8722545501837025
Ra = 0.23249999999999998 Za = -1.54000000000000 rot_H_z = -1.0726391313714956
Ra = 0.15702224403991916 Za = -1.54000000000000 rot_H_z = -1.522648460195847
Ra = 0.3079777559600808 Za = -1.54000000000000 rot_H_z = -0.8214083319667935
Ra = 0.16545758908160368 Za = -1.54000000000000 rot_H_z = -1.4709816703950755
Ra = 0.2995424109183963 Za = -1.54000000000000 rot_H_z = -0.8040184333016782
Ra = 0.1798457584568256 Za = -1.54000000000000 rot_H_z = -1.3838478037199522
Ra = 0.28515424154317437 Za = -1.54000000000000 rot_H_z = -0.8131486356028788
Ra = 0.1989118569549833 Za = -1.54000000000000 rot_H_z = -1.2700810068848813
Ra = 0.26608814304501666 Za = -1.54000000000000 rot_H_z = -0.8860300397754131
Ra = 0.22096223872892357 Za = -1.54000000000000 rot_H_z = -1.1401240686376184
Ra = 0.2440377612710764 Za = -1.54000000000000 rot_H_z = -1.0058649489664795
Ra = 0.15533656986549987 Za = -1.54000000000000 rot_H_z = -1.5330242928925513
Ra = 0.3096634301345001 Za = -1.54000000000000 rot_H_z = -0.8265665609418775
Ra = 0.16041279441993261 Za = -1.54000000000000 rot_H_z = -1.5018294119949402
Ra = 0.30458720558006736 Za = -1.54000000000000 rot_H_z = -0.812603190514551
Ra = 0.17198662618955268 Za = -1.54000000000000 rot_H_z = -1.4312893821948425
Ra = 0.2930133738104473 Za = -1.54000000000000 rot_H_z = -0.801968189308397
Ra = 0.18888632206318312 Za = -1.54000000000000 rot_H_z = -1.3296925147160206
Ra = 0.27611367793681685 Za = -1.54000000000000 rot_H_z = -0.8414791601168048
Ra = 0.20968455314063683 Za = -1.54000000000000 rot_H_z = -1.206429262285539
Ra = 0.25531544685936314 Za = -1.54000000000000 rot_H_z = -0.9424262661987513
J_z ( 0.310000000000000 ) =  -0.11782156580235059*pi
Ra = 0.900000000000000 Za = -1.54000000000000 H_phi_t = 5.462789491177652
Ra = 0.900000000000000 Za = -1.54000000000000 H_phi_s = -5.82134542540574
Ra = 0.900000000000000 Za = -1.54000000000000 H_phi   = -0.35855593422808774
circ_H ( 0.900000000000000 ) =  -0.645400681610558*pi
Ra = 0.45 Za = -1.54000000000000 rot_H_z = -1.0258101055116668
Ra = 0.011742062167272693 Za = -1.54000000000000 rot_H_z = 0.2792761550334646
Ra = 0.8882579378327273 Za = -1.54000000000000 rot_H_z = -0.47840288622803584
Ra = 0.06072148498995694 Za = -1.54000000000000 rot_H_z = -2.0382092672617116
Ra = 0.839278515010043 Za = -1.54000000000000 rot_H_z = -0.5230465459052498
Ra = 0.144265694265439 Za = -1.54000000000000 rot_H_z = -1.6015492910169113
Ra = 0.755734305734561 Za = -1.54000000000000 rot_H_z = -0.6099460443012461
Ra = 0.25497207264183874 Za = -1.54000000000000 rot_H_z = -0.9443100977773113
Ra = 0.6450279273581613 Za = -1.54000000000000 rot_H_z = -0.7485266339523058
Ra = 0.38300654745826596 Za = -1.54000000000000 rot_H_z = -1.0458401465557543
Ra = 0.5169934525417341 Za = -1.54000000000000 rot_H_z = -0.9368655264071375
Ra = 0.0019542766383863763 Za = -1.54000000000000 rot_H_z = 19.161908565592977
Ra = 0.8980457233616137 Za = -1.54000000000000 rot_H_z = -0.46999163788202303
Ra = 0.03142912888993127 Za = -1.54000000000000 rot_H_z = -1.7709987486855407
Ra = 0.8685708711100688 Za = -1.54000000000000 rot_H_z = -0.49582581419800587
Ra = 0.0986320230361124 Za = -1.54000000000000 rot_H_z = -1.8820388980405385
Ra = 0.8013679769638876 Za = -1.54000000000000 rot_H_z = -0.5607114564429789
Ra = 0.1967592893991279 Za = -1.54000000000000 rot_H_z = -1.2828457808047808
Ra = 0.7032407106008721 Za = -1.54000000000000 rot_H_z = -0.6722035953359988
Ra = 0.31752321178434295 Za = -1.54000000000000 rot_H_z = -0.8557127864966318
Ra = 0.5824767882156571 Za = -1.54000000000000 rot_H_z = -0.8383865421225671
Ra = 0.225 Za = -1.54000000000000 rot_H_z = -1.1164594939538492
Ra = 0.005871031083636347 Za = -1.54000000000000 rot_H_z = 3.9767397006046035
Ra = 0.44412896891636366 Za = -1.54000000000000 rot_H_z = -1.0317296264858502
Ra = 0.03036074249497847 Za = -1.54000000000000 rot_H_z = -1.7378852065702923
Ra = 0.4196392575050215 Za = -1.54000000000000 rot_H_z = -1.0499803348560661
Ra = 0.0721328471327195 Za = -1.54000000000000 rot_H_z = -2.011955656806084
Ra = 0.3778671528672805 Za = -1.54000000000000 rot_H_z = -1.0406812791654723
Ra = 0.12748603632091937 Za = -1.54000000000000 rot_H_z = -1.7062071744305785
Ra = 0.32251396367908064 Za = -1.54000000000000 rot_H_z = -0.8768527041020917
Ra = 0.19150327372913298 Za = -1.54000000000000 rot_H_z = -1.3140910832482788
Ra = 0.25849672627086706 Za = -1.54000000000000 rot_H_z = -0.9251787072160447
Ra = 0.0009771383191931882 Za = -1.54000000000000 rot_H_z = 42.01859614252214
Ra = 0.44902286168080685 Za = -1.54000000000000 rot_H_z = -1.0268285750355695
Ra = 0.015714564444965634 Za = -1.54000000000000 rot_H_z = -0.6116249643089828
Ra = 0.4342854355550344 Za = -1.54000000000000 rot_H_z = -1.0404553148417328
Ra = 0.0493160115180562 Za = -1.54000000000000 rot_H_z = -2.0213312740566662
Ra = 0.4006839884819438 Za = -1.54000000000000 rot_H_z = -1.053992470670952
Ra = 0.09837964469956395 Za = -1.54000000000000 rot_H_z = -1.8834968500802756
Ra = 0.35162035530043606 Za = -1.54000000000000 rot_H_z = -0.9886614040879067
Ra = 0.15876160589217148 Za = -1.54000000000000 rot_H_z = -1.5119596532131832
Ra = 0.29123839410782854 Za = -1.54000000000000 rot_H_z = -0.8032308118015834
Ra = 0.675 Za = -1.54000000000000 rot_H_z = -0.7082773488413583
Ra = 0.45587103108363636 Za = -1.54000000000000 rot_H_z = -1.0194341421507165
Ra = 0.8941289689163637 Za = -1.54000000000000 rot_H_z = -0.47333788931396903
Ra = 0.4803607424949785 Za = -1.54000000000000 rot_H_z = -0.9890587726763407
Ra = 0.8696392575050216 Za = -1.54000000000000 rot_H_z = -0.4948626714171791
Ra = 0.5221328471327196 Za = -1.54000000000000 rot_H_z = -0.9292115101425846
Ra = 0.8278671528672805 Za = -1.54000000000000 rot_H_z = -0.5340875384726544
Ra = 0.5774860363209194 Za = -1.54000000000000 rot_H_z = -0.8458296553736275
Ra = 0.7725139636790807 Za = -1.54000000000000 rot_H_z = -0.5913293790984415
Ra = 0.6415032737291331 Za = -1.54000000000000 rot_H_z = -0.7533890147339726
Ra = 0.708496726270867 Za = -1.54000000000000 rot_H_z = -0.6656901987430857
Ra = 0.4509771383191932 Za = -1.54000000000000 rot_H_z = -1.0247790069433318
Ra = 0.8990228616808069 Za = -1.54000000000000 rot_H_z = -0.4691608851131681
Ra = 0.4657145644449657 Za = -1.54000000000000 rot_H_z = -1.007870899287072
Ra = 0.8842854355550345 Za = -1.54000000000000 rot_H_z = -0.4818637401678112
Ra = 0.49931601151805627 Za = -1.54000000000000 rot_H_z = -0.9627066949705352
Ra = 0.8506839884819438 Za = -1.54000000000000 rot_H_z = -0.5122586902678856
Ra = 0.548379644699564 Za = -1.54000000000000 rot_H_z = -0.8896655499614052
Ra = 0.8016203553004361 Za = -1.54000000000000 rot_H_z = -0.5604512487010416
Ra = 0.6087616058921715 Za = -1.54000000000000 rot_H_z = -0.7997677205714044
Ra = 0.7412383941078285 Za = -1.54000000000000 rot_H_z = -0.6265229522299745
Ra = 0.1125 Za = -1.54000000000000 rot_H_z = -1.7991059636086848
Ra = 0.0029355155418181733 Za = -1.54000000000000 rot_H_z = 11.534561407754033
Ra = 0.22206448445818183 Za = -1.54000000000000 rot_H_z = -1.133659821349589
Ra = 0.015180371247489235 Za = -1.54000000000000 rot_H_z = -0.5210111373166462
Ra = 0.20981962875251076 Za = -1.54000000000000 rot_H_z = -1.2056332839693695
Ra = 0.03606642356635975 Za = -1.54000000000000 rot_H_z = -1.8818334222690936
Ra = 0.18893357643364025 Za = -1.54000000000000 rot_H_z = -1.329410519934795
Ra = 0.06374301816045969 Za = -1.54000000000000 rot_H_z = -2.034323034460663
Ra = 0.16125698183954032 Za = -1.54000000000000 rot_H_z = -1.4966565804872234
Ra = 0.09575163686456649 Za = -1.54000000000000 rot_H_z = -1.8985271003146695
Ra = 0.12924836313543353 Za = -1.54000000000000 rot_H_z = -1.6952059131219208
Ra = 0.0004885691595965941 Za = -1.54000000000000 rot_H_z = 87.76099206097636
Ra = 0.22451143084040343 Za = -1.54000000000000 rot_H_z = -1.1193205872459853
Ra = 0.007857282222482817 Za = -1.54000000000000 rot_H_z = 2.0895544972683835
Ra = 0.2171427177775172 Za = -1.54000000000000 rot_H_z = -1.1625466758766176
Ra = 0.0246580057590281 Za = -1.54000000000000 rot_H_z = -1.4900160095509292
Ra = 0.2003419942409719 Za = -1.54000000000000 rot_H_z = -1.261609568184097
Ra = 0.049189822349781975 Za = -1.54000000000000 rot_H_z = -2.020767973207609
Ra = 0.17581017765021803 Za = -1.54000000000000 rot_H_z = -1.4081638485164643
Ra = 0.07938080294608574 Za = -1.54000000000000 rot_H_z = -1.9829153564312616
Ra = 0.14561919705391427 Za = -1.54000000000000 rot_H_z = -1.5931395525944474
Ra = 0.3375 Za = -1.54000000000000 rot_H_z = -0.9402033334908282
Ra = 0.22793551554181818 Za = -1.54000000000000 rot_H_z = -1.0992840287802732
Ra = 0.44706448445818187 Za = -1.54000000000000 rot_H_z = -1.028830660688243
Ra = 0.24018037124748925 Za = -1.54000000000000 rot_H_z = -1.0280613206940785
Ra = 0.4348196287525108 Za = -1.54000000000000 rot_H_z = -1.040024718141261
Ra = 0.2610664235663598 Za = -1.54000000000000 rot_H_z = -0.9115643365503807
Ra = 0.41393357643364026 Za = -1.54000000000000 rot_H_z = -1.0523132998604332
Ra = 0.2887430181604597 Za = -1.54000000000000 rot_H_z = -0.806282226066152
Ra = 0.3862569818395403 Za = -1.54000000000000 rot_H_z = -1.048397321403538
Ra = 0.32075163686456654 Za = -1.54000000000000 rot_H_z = -0.8692651838438366
Ra = 0.3542483631354335 Za = -1.54000000000000 rot_H_z = -0.9960517988467643
Ra = 0.2254885691595966 Za = -1.54000000000000 rot_H_z = -1.1135990851776931
Ra = 0.44951143084040346 Za = -1.54000000000000 rot_H_z = -1.0263209359360292
Ra = 0.23285728222248284 Za = -1.54000000000000 rot_H_z = -1.070557345651732
Ra = 0.44214271777751724 Za = -1.54000000000000 rot_H_z = -1.0336181441596892
Ra = 0.24965800575902813 Za = -1.54000000000000 rot_H_z = -0.973902452268959
Ra = 0.4253419942409719 Za = -1.54000000000000 rot_H_z = -1.046830097380921
Ra = 0.274189822349782 Za = -1.54000000000000 rot_H_z = -0.8491619966279487
Ra = 0.40081017765021804 Za = -1.54000000000000 rot_H_z = -1.0540043768390461
Ra = 0.30438080294608577 Za = -1.54000000000000 rot_H_z = -0.8121411955266922
Ra = 0.3706191970539143 Za = -1.54000000000000 rot_H_z = -1.0308649616114565
Ra = 0.28125 Za = -1.54000000000000 rot_H_z = -0.8236305734111014
Ra = 0.22646775777090908 Za = -1.54000000000000 rot_H_z = -1.1078683995166934
Ra = 0.3360322422290909 Za = -1.54000000000000 rot_H_z = -0.9343860047888484
Ra = 0.23259018562374462 Za = -1.54000000000000 rot_H_z = -1.072113585285365
Ra = 0.3299098143762554 Za = -1.54000000000000 rot_H_z = -0.9089353312211799
Ra = 0.24303321178317988 Za = -1.54000000000000 rot_H_z = -1.0116288024345472
Ra = 0.3194667882168201 Za = -1.54000000000000 rot_H_z = -0.8638053173940179
Ra = 0.2568715090802298 Za = -1.54000000000000 rot_H_z = -0.9339412550020754
Ra = 0.3056284909197702 Za = -1.54000000000000 rot_H_z = -0.815068072263422
Ra = 0.27287581843228326 Za = -1.54000000000000 rot_H_z = -0.8546779437480865
Ra = 0.28962418156771674 Za = -1.54000000000000 rot_H_z = -0.8050376313066181
Ra = 0.22524428457979828 Za = -1.54000000000000 rot_H_z = -1.1150292028929822
Ra = 0.3372557154202017 Za = -1.54000000000000 rot_H_z = -0.9392440049750164
Ra = 0.2289286411112414 Za = -1.54000000000000 rot_H_z = -1.0934797513902943
Ra = 0.3335713588887586 Za = -1.54000000000000 rot_H_z = -0.9243638983255309
Ra = 0.23732900287951403 Za = -1.54000000000000 rot_H_z = -1.0445627521898615
Ra = 0.32517099712048597 Za = -1.54000000000000 rot_H_z = -0.8884070352268338
Ra = 0.249594911174891 Za = -1.54000000000000 rot_H_z = -0.9742580414610167
Ra = 0.31290508882510903 Za = -1.54000000000000 rot_H_z = -0.8377091827051615
Ra = 0.26469040147304285 Za = -1.54000000000000 rot_H_z = -0.8929728523370883
Ra = 0.29780959852695715 Za = -1.54000000000000 rot_H_z = -0.8024478281020677
Ra = 0.39375000000000004 Za = -1.54000000000000 rot_H_z = -1.0523986032178492
Ra = 0.33896775777090915 Za = -1.54000000000000 rot_H_z = -0.9458894904912043
Ra = 0.44853224222909094 Za = -1.54000000000000 rot_H_z = -1.0273350982909975
Ra = 0.34509018562374466 Za = -1.54000000000000 rot_H_z = -0.9680449343537987
Ra = 0.44240981437625543 Za = -1.54000000000000 rot_H_z = -1.0333677353412334
Ra = 0.3555332117831799 Za = -1.54000000000000 rot_H_z = -0.9994764051169085
Ra = 0.43196678821682016 Za = -1.54000000000000 rot_H_z = -1.0422622955228515
Ra = 0.36937150908022987 Za = -1.54000000000000 rot_H_z = -1.0288523922023423
Ra = 0.4181284909197702 Za = -1.54000000000000 rot_H_z = -1.0506817333668472
Ra = 0.3853758184322833 Za = -1.54000000000000 rot_H_z = -1.047755739172704
Ra = 0.4021241815677168 Za = -1.54000000000000 rot_H_z = -1.0540939656782342
Ra = 0.3377442845797983 Za = -1.54000000000000 rot_H_z = -0.9411590253384574
Ra = 0.44975571542020176 Za = -1.54000000000000 rot_H_z = -1.0260659174977231
Ra = 0.34142864111124144 Za = -1.54000000000000 rot_H_z = -0.9551082299649849
Ra = 0.44607135888875865 Za = -1.54000000000000 rot_H_z = -1.0298254210499351
Ra = 0.34982900287951413 Za = -1.54000000000000 rot_H_z = -0.9833252153230916
Ra = 0.43767099712048596 Za = -1.54000000000000 rot_H_z = -1.0376390864003842
Ra = 0.362094911174891 Za = -1.54000000000000 rot_H_z = -1.0150753749034997
Ra = 0.4254050888251091 Za = -1.54000000000000 rot_H_z = -1.046791014656586
Ra = 0.3771904014730429 Za = -1.54000000000000 rot_H_z = -1.0398946350723683
Ra = 0.4103095985269572 Za = -1.54000000000000 rot_H_z = -1.053324319550942
J_z ( 0.900000000000000 ) =  -0.6454006816107795*pi
Ra = 1.49000000000000 Za = -1.54000000000000 H_phi_t = 2.986401381561732
Ra = 1.49000000000000 Za = -1.54000000000000 H_phi_s = -3.3372247796582144
Ra = 1.49000000000000 Za = -1.54000000000000 H_phi   = -0.35082339809648255
circ_H ( 1.49000000000000 ) =  -1.04545372632752*pi
Ra = 0.745 Za = -1.54000000000000 rot_H_z = -0.6221768397772891
Ra = 0.019439636254707016 Za = -1.54000000000000 rot_H_z = -1.0916039896331187
Ra = 1.4705603637452929 Za = -1.54000000000000 rot_H_z = -0.19193826701207328
Ra = 0.10052779181670657 Za = -1.54000000000000 rot_H_z = -1.8710133326369904
Ra = 1.3894722081832933 Za = -1.54000000000000 rot_H_z = -0.2079616425222537
Ra = 0.23883987161722675 Za = -1.54000000000000 rot_H_z = -1.0358105764806353
Ra = 1.2511601283827734 Za = -1.54000000000000 rot_H_z = -0.25473519339025064
Ra = 0.4221204313737108 Za = -1.54000000000000 rot_H_z = -1.0487047358151198
Ra = 1.0678795686262892 Za = -1.54000000000000 rot_H_z = -0.3473337918904358
Ra = 0.6340886174586847 Za = -1.54000000000000 rot_H_z = -0.7637034548677306
Ra = 0.8559113825413153 Za = -1.54000000000000 rot_H_z = -0.5073955742440672
Ra = 0.003235413545772947 Za = -1.54000000000000 rot_H_z = 10.128784536133512
Ra = 1.486764586454227 Za = -1.54000000000000 rot_H_z = -0.1887221378957662
Ra = 0.05203266893999736 Za = -1.54000000000000 rot_H_z = -2.0310790133695784
Ra = 1.4379673310600025 Za = -1.54000000000000 rot_H_z = -0.19730728623418514
Ra = 0.16329079369311938 Za = -1.54000000000000 rot_H_z = -1.484212043346579
Ra = 1.3267092063068806 Za = -1.54000000000000 rot_H_z = -0.22659184824523226
Ra = 0.3257459346718895 Za = -1.54000000000000 rot_H_z = -0.8909124382456
Ra = 1.1642540653281106 Za = -1.54000000000000 rot_H_z = -0.2941946117680345
Ra = 0.5256773172874122 Za = -1.54000000000000 rot_H_z = -0.9239075495953912
Ra = 0.9643226827125878 Za = -1.54000000000000 rot_H_z = -0.4171486814790626
Ra = 0.3725 Za = -1.54000000000000 rot_H_z = -1.033714631643921
Ra = 0.009719818127353508 Za = -1.54000000000000 rot_H_z = 1.0341276433182847
Ra = 0.7352801818726464 Za = -1.54000000000000 rot_H_z = -0.6334713041048392
Ra = 0.050263895908353284 Za = -1.54000000000000 rot_H_z = -2.025236532368212
Ra = 0.6947361040916467 Za = -1.54000000000000 rot_H_z = -0.682876016081952
Ra = 0.11941993580861338 Za = -1.54000000000000 rot_H_z = -1.7564218922764536
Ra = 0.6255800641913867 Za = -1.54000000000000 rot_H_z = -0.7756792841007947
Ra = 0.2110602156868554 Za = -1.54000000000000 rot_H_z = -1.1983248972358034
Ra = 0.5339397843131446 Za = -1.54000000000000 rot_H_z = -0.9114841092858565
Ra = 0.31704430872934236 Za = -1.54000000000000 rot_H_z = -0.8537569561657179
Ra = 0.42795569127065763 Za = -1.54000000000000 rot_H_z = -1.0451379313977682
Ra = 0.0016177067728864736 Za = -1.54000000000000 rot_H_z = 23.91470001516233
Ra = 0.7433822932271135 Za = -1.54000000000000 rot_H_z = -0.6240420778042548
Ra = 0.02601633446999868 Za = -1.54000000000000 rot_H_z = -1.5622501298295952
Ra = 0.7189836655300013 Za = -1.54000000000000 rot_H_z = -0.652882057973132
Ra = 0.08164539684655969 Za = -1.54000000000000 rot_H_z = -1.9725257166611923
Ra = 0.6633546031534403 Za = -1.54000000000000 rot_H_z = -0.7236790226189456
Ra = 0.16287296733594475 Za = -1.54000000000000 rot_H_z = -1.486766586637767
Ra = 0.5821270326640553 Za = -1.54000000000000 rot_H_z = -0.8389071787798184
Ra = 0.2628386586437061 Za = -1.54000000000000 rot_H_z = -0.9023740067285289
Ra = 0.4821613413562939 Za = -1.54000000000000 rot_H_z = -0.9866390258115132
Ra = 1.1175 Za = -1.54000000000000 rot_H_z = -0.31867060649782886
Ra = 0.7547198181273534 Za = -1.54000000000000 rot_H_z = -0.6110911538594932
Ra = 1.4802801818726463 Za = -1.54000000000000 rot_H_z = -0.19016596905431982
Ra = 0.7952638959083532 Za = -1.54000000000000 rot_H_z = -0.567044540666851
Ra = 1.4397361040916468 Za = -1.54000000000000 rot_H_z = -0.1969900063996608
Ra = 0.8644199358086133 Za = -1.54000000000000 rot_H_z = -0.49958735587973546
Ra = 1.3705800641913866 Za = -1.54000000000000 rot_H_z = -0.21305755930255188
Ra = 0.9560602156868554 Za = -1.54000000000000 rot_H_z = -0.423362845649204
Ra = 1.2789397843131445 Za = -1.54000000000000 rot_H_z = -0.24371473062552163
Ra = 1.0620443087293423 Za = -1.54000000000000 rot_H_z = -0.35089648171020205
Ra = 1.1729556912706576 Za = -1.54000000000000 rot_H_z = -0.28989694490362394
Ra = 0.7466177067728864 Za = -1.54000000000000 rot_H_z = -0.6203173855850128
Ra = 1.4883822932271134 Za = -1.54000000000000 rot_H_z = -0.1883147105887346
Ra = 0.7710163344699986 Za = -1.54000000000000 rot_H_z = -0.5929663535633907
Ra = 1.4639836655300011 Za = -1.54000000000000 rot_H_z = -0.19300514770826638
Ra = 0.8266453968465597 Za = -1.54000000000000 rot_H_z = -0.535284538902518
Ra = 1.4083546031534402 Za = -1.54000000000000 rot_H_z = -0.20337223402889926
Ra = 0.9078729673359447 Za = -1.54000000000000 rot_H_z = -0.4617097519919007
Ra = 1.3271270326640552 Za = -1.54000000000000 rot_H_z = -0.22645263564278162
Ra = 1.007838658643706 Za = -1.54000000000000 rot_H_z = -0.3860516504598417
Ra = 1.2271613413562938 Za = -1.54000000000000 rot_H_z = -0.26487281861747825
Ra = 0.18625 Za = -1.54000000000000 rot_H_z = -1.345441920822684
Ra = 0.004859909063676754 Za = -1.54000000000000 rot_H_z = 5.541563900994095
Ra = 0.3676400909363232 Za = -1.54000000000000 rot_H_z = -1.0258942332414271
Ra = 0.025131947954176642 Za = -1.54000000000000 rot_H_z = -1.5163564822872493
Ra = 0.34736805204582333 Za = -1.54000000000000 rot_H_z = -0.9755996296340363
Ra = 0.05970996790430669 Za = -1.54000000000000 rot_H_z = -2.0388881257782256
Ra = 0.31279003209569334 Za = -1.54000000000000 rot_H_z = -0.837289372782152
Ra = 0.1055301078434277 Za = -1.54000000000000 rot_H_z = -1.8413774667184133
Ra = 0.2669698921565723 Za = -1.54000000000000 rot_H_z = -0.881724855667926
Ra = 0.15852215436467118 Za = -1.54000000000000 rot_H_z = -1.5134300752086736
Ra = 0.21397784563532882 Za = -1.54000000000000 rot_H_z = -1.1811519722831108
Ra = 0.0008088533864432368 Za = -1.54000000000000 rot_H_z = 51.534144964364145
Ra = 0.37169114661355673 Za = -1.54000000000000 rot_H_z = -1.0325159284743322
Ra = 0.01300816723499934 Za = -1.54000000000000 rot_H_z = -0.06825301132765427
Ra = 0.35949183276500063 Za = -1.54000000000000 rot_H_z = -1.0092602338937269
Ra = 0.040822698423279846 Za = -1.54000000000000 rot_H_z = -1.9547480210946304
Ra = 0.33167730157672015 Za = -1.54000000000000 rot_H_z = -0.916449698426824
Ra = 0.08143648366797238 Za = -1.54000000000000 rot_H_z = -1.9735061985483195
Ra = 0.29106351633202765 Za = -1.54000000000000 rot_H_z = -0.8033965564582459
Ra = 0.13141932932185305 Za = -1.54000000000000 rot_H_z = -1.6816489227258429
Ra = 0.24108067067814695 Za = -1.54000000000000 rot_H_z = -1.0228662386843332
Ra = 0.55875 Za = -1.54000000000000 rot_H_z = -0.8739902021270236
Ra = 0.3773599090636767 Za = -1.54000000000000 rot_H_z = -1.0400940881302034
Ra = 0.7401400909363232 Za = -1.54000000000000 rot_H_z = -0.6277978350211697
Ra = 0.3976319479541766 Za = -1.54000000000000 rot_H_z = -1.0535229997655797
Ra = 0.7198680520458234 Za = -1.54000000000000 rot_H_z = -0.6518133142152056
Ra = 0.43220996790430666 Za = -1.54000000000000 rot_H_z = -1.0420776098461513
Ra = 0.6852900320956933 Za = -1.54000000000000 rot_H_z = -0.6949230756609754
Ra = 0.4780301078434277 Za = -1.54000000000000 rot_H_z = -0.992159554200958
Ra = 0.6394698921565722 Za = -1.54000000000000 rot_H_z = -0.756206142483201
Ra = 0.5310221543646712 Za = -1.54000000000000 rot_H_z = -0.9158789427552598
Ra = 0.5864778456353288 Za = -1.54000000000000 rot_H_z = -0.8324418796920963
Ra = 0.3733088533864432 Za = -1.54000000000000 rot_H_z = -1.0348734161785345
Ra = 0.7441911466135567 Za = -1.54000000000000 rot_H_z = -0.6231087351583824
Ra = 0.3855081672349993 Za = -1.54000000000000 rot_H_z = -1.047854518193649
Ra = 0.7319918327650006 Za = -1.54000000000000 rot_H_z = -0.6373400253150026
Ra = 0.41332269842327984 Za = -1.54000000000000 rot_H_z = -1.0525104480312457
Ra = 0.7041773015767201 Za = -1.54000000000000 rot_H_z = -0.671038342037729
Ra = 0.45393648366797235 Za = -1.54000000000000 rot_H_z = -1.0215819255936278
Ra = 0.6635635163320276 Za = -1.54000000000000 rot_H_z = -0.7234000457384653
Ra = 0.503919329321853 Za = -1.54000000000000 rot_H_z = -0.9560675389379227
Ra = 0.6135806706781469 Za = -1.54000000000000 rot_H_z = -0.7928113135789054
Ra = 0.9312499999999999 Za = -1.54000000000000 rot_H_z = -0.44264756196999233
Ra = 0.7498599090636767 Za = -1.54000000000000 rot_H_z = -0.6166080434685384
Ra = 1.1126400909363232 Za = -1.54000000000000 rot_H_z = -0.3213524783881043
Ra = 0.7701319479541766 Za = -1.54000000000000 rot_H_z = -0.5939352770149773
Ra = 1.0923680520458232 Za = -1.54000000000000 rot_H_z = -0.3328291913002337
Ra = 0.8047099679043066 Za = -1.54000000000000 rot_H_z = -0.5572762810366321
Ra = 1.0577900320956932 Za = -1.54000000000000 rot_H_z = -0.3535202583041652
Ra = 0.8505301078434276 Za = -1.54000000000000 rot_H_z = -0.5124026153836017
Ra = 1.0119698921565723 Za = -1.54000000000000 rot_H_z = -0.3832367638707872
Ra = 0.9035221543646711 Za = -1.54000000000000 rot_H_z = -0.4653564137685251
Ra = 0.9589778456353287 Za = -1.54000000000000 rot_H_z = -0.4211568503151595
Ra = 0.7458088533864432 Za = -1.54000000000000 rot_H_z = -0.6212463903608132
Ra = 1.1166911466135567 Za = -1.54000000000000 rot_H_z = -0.31911512013231924
Ra = 0.7580081672349993 Za = -1.54000000000000 rot_H_z = -0.6073875611243942
Ra = 1.1044918327650006 Za = -1.54000000000000 rot_H_z = -0.32590889815738855
Ra = 0.7858226984232798 Za = -1.54000000000000 rot_H_z = -0.5769912003662965
Ra = 1.0766773015767201 Za = -1.54000000000000 rot_H_z = -0.34204052752420555
Ra = 0.8264364836679723 Za = -1.54000000000000 rot_H_z = -0.5354895098087988
Ra = 1.0360635163320275 Za = -1.54000000000000 rot_H_z = -0.3672730558214585
Ra = 0.876419329321853 Za = -1.54000000000000 rot_H_z = -0.4887980100694156
Ra = 0.9860806706781469 Za = -1.54000000000000 rot_H_z = -0.40126423103055675
Ra = 1.30375 Za = -1.54000000000000 rot_H_z = -0.23452716803898932
Ra = 1.1223599090636767 Za = -1.54000000000000 rot_H_z = -0.3160151927308936
Ra = 1.4851400909363233 Za = -1.54000000000000 rot_H_z = -0.1891106909300646
Ra = 1.1426319479541767 Za = -1.54000000000000 rot_H_z = -0.30521986049553096
Ra = 1.4648680520458233 Za = -1.54000000000000 rot_H_z = -0.19286446661972434
Ra = 1.1772099679043067 Za = -1.54000000000000 rot_H_z = -0.2878244994519652
Ra = 1.4302900320956933 Za = -1.54000000000000 rot_H_z = -0.19874192028587423
Ra = 1.2230301078434276 Za = -1.54000000000000 rot_H_z = -0.26667571835121295
Ra = 1.3844698921565723 Za = -1.54000000000000 rot_H_z = -0.20926401231905256
Ra = 1.276022154364671 Za = -1.54000000000000 rot_H_z = -0.24483602397075988
Ra = 1.331477845635329 Za = -1.54000000000000 rot_H_z = -0.225014310686652
Ra = 1.1183088533864431 Za = -1.54000000000000 rot_H_z = -0.318226825743829
Ra = 1.4891911466135568 Za = -1.54000000000000 rot_H_z = -0.18810285436619978
Ra = 1.1305081672349993 Za = -1.54000000000000 rot_H_z = -0.3116218884745017
Ra = 1.4769918327650007 Za = -1.54000000000000 rot_H_z = -0.19080564126030453
Ra = 1.1583226984232797 Za = -1.54000000000000 rot_H_z = -0.2971696077197761
Ra = 1.4491773015767202 Za = -1.54000000000000 rot_H_z = -0.19537260369988374
Ra = 1.1989364836679723 Za = -1.54000000000000 rot_H_z = -0.2775310085701119
Ra = 1.4085635163320276 Za = -1.54000000000000 rot_H_z = -0.20332447718288904
Ra = 1.248919329321853 Za = -1.54000000000000 rot_H_z = -0.25565756401653816
Ra = 1.358580670678147 Za = -1.54000000000000 rot_H_z = -0.21653389739643414
Ra = 0.093125 Za = -1.54000000000000 rot_H_z = -1.9132417074914971
Ra = 0.002429954531838377 Za = -1.54000000000000 rot_H_z = 14.693164638150748
Ra = 0.1838200454681616 Za = -1.54000000000000 rot_H_z = -1.3599889590872882
Ra = 0.012565973977088321 Za = -1.54000000000000 rot_H_z = 0.044662788947920085
Ra = 0.17368402602291166 Za = -1.54000000000000 rot_H_z = -1.421012529885597
Ra = 0.029854983952153344 Za = -1.54000000000000 rot_H_z = -1.7210058472594594
Ra = 0.15639501604784667 Za = -1.54000000000000 rot_H_z = -1.5265073066065122
Ra = 0.05276505392171385 Za = -1.54000000000000 rot_H_z = -2.0329878577587848
Ra = 0.13348494607828615 Za = -1.54000000000000 rot_H_z = -1.6687491483291668
Ra = 0.07926107718233559 Za = -1.54000000000000 rot_H_z = -1.983449414495713
Ra = 0.10698892281766441 Za = -1.54000000000000 rot_H_z = -1.832610699454058
Ra = 0.0004044266932216184 Za = -1.54000000000000 rot_H_z = 106.7971147469104
Ra = 0.18584557330677837 Za = -1.54000000000000 rot_H_z = -1.3478609721941037
Ra = 0.00650408361749967 Za = -1.54000000000000 rot_H_z = 3.2476828293457793
Ra = 0.17974591638250031 Za = -1.54000000000000 rot_H_z = -1.3844482881568272
Ra = 0.020411349211639923 Za = -1.54000000000000 rot_H_z = -1.1843865887808094
Ra = 0.16583865078836008 Za = -1.54000000000000 rot_H_z = -1.4686579016838204
Ra = 0.04071824183398619 Za = -1.54000000000000 rot_H_z = -1.9534838010541011
Ra = 0.14553175816601382 Za = -1.54000000000000 rot_H_z = -1.593682599544807
Ra = 0.06570966466092652 Za = -1.54000000000000 rot_H_z = -2.030462446286287
Ra = 0.12054033533907348 Za = -1.54000000000000 rot_H_z = -1.7494680355508962
Ra = 0.279375 Za = -1.54000000000000 rot_H_z = -0.8296569007106669
Ra = 0.18867995453183836 Za = -1.54000000000000 rot_H_z = -1.3309241548067092
Ra = 0.3700700454681616 Za = -1.54000000000000 rot_H_z = -1.0299913088751467
Ra = 0.1988159739770883 Za = -1.54000000000000 rot_H_z = -1.2706492314358755
Ra = 0.3599340260229117 Za = -1.54000000000000 rot_H_z = -1.0102822040881065
Ra = 0.21610498395215333 Za = -1.54000000000000 rot_H_z = -1.1686446160626769
Ra = 0.34264501604784664 Za = -1.54000000000000 rot_H_z = -0.959511938041743
Ra = 0.23901505392171385 Za = -1.54000000000000 rot_H_z = -1.0347969725706285
Ra = 0.3197349460782861 Za = -1.54000000000000 rot_H_z = -0.86493861147828
Ra = 0.2655110771823356 Za = -1.54000000000000 rot_H_z = -0.8888794202589807
Ra = 0.2932389228176644 Za = -1.54000000000000 rot_H_z = -0.801862943004231
Ra = 0.1866544266932216 Za = -1.54000000000000 rot_H_z = -1.3430236804922906
Ra = 0.37209557330677834 Za = -1.54000000000000 rot_H_z = -1.0331203011900882
Ra = 0.19275408361749966 Za = -1.54000000000000 rot_H_z = -1.306644953666659
Ra = 0.3659959163825003 Za = -1.54000000000000 rot_H_z = -1.022903338212437
Ra = 0.20666134921163992 Za = -1.54000000000000 rot_H_z = -1.2242572446783182
Ra = 0.35208865078836005 Za = -1.54000000000000 rot_H_z = -0.9900164264603752
Ra = 0.22696824183398617 Za = -1.54000000000000 rot_H_z = -1.1049404677748331
Ra = 0.3317817581660138 Za = -1.54000000000000 rot_H_z = -0.9168901650869259
Ra = 0.2519596646609265 Za = -1.54000000000000 rot_H_z = -0.9609930495112202
Ra = 0.30679033533907346 Za = -1.54000000000000 rot_H_z = -0.8180735127548502
Ra = 0.23281249999999998 Za = -1.54000000000000 rot_H_z = -1.0708182448339443
Ra = 0.18746497726591918 Za = -1.54000000000000 rot_H_z = -1.3381794670796392
Ra = 0.2781600227340808 Za = -1.54000000000000 rot_H_z = -0.833872110417218
Ra = 0.19253298698854415 Za = -1.54000000000000 rot_H_z = -1.3079606588098223
Ra = 0.2730920130114558 Za = -1.54000000000000 rot_H_z = -0.8537562625382691
Ra = 0.20117749197607665 Za = -1.54000000000000 rot_H_z = -1.256663773894056
Ra = 0.2644475080239233 Za = -1.54000000000000 rot_H_z = -0.8941933058151861
Ra = 0.2126325269608569 Za = -1.54000000000000 rot_H_z = -1.18906783460581
Ra = 0.2529924730391431 Za = -1.54000000000000 rot_H_z = -0.9552436016589034
Ra = 0.22588053859116777 Za = -1.54000000000000 rot_H_z = -1.1113047426275262
Ra = 0.23974446140883218 Za = -1.54000000000000 rot_H_z = -1.0305794879076942
Ra = 0.1864522133466108 Za = -1.54000000000000 rot_H_z = -1.3442326996821556
Ra = 0.2791727866533892 Za = -1.54000000000000 rot_H_z = -0.8303420799637209
Ra = 0.18950204180874983 Za = -1.54000000000000 rot_H_z = -1.3260189680661014
Ra = 0.27612295819125016 Za = -1.54000000000000 rot_H_z = -0.84144330205514
Ra = 0.19645567460581995 Za = -1.54000000000000 rot_H_z = -1.2846476306103156
Ra = 0.26916932539418004 Za = -1.54000000000000 rot_H_z = -0.8712641982799525
Ra = 0.20660912091699307 Za = -1.54000000000000 rot_H_z = -1.2245654585547694
Ra = 0.2590158790830069 Za = -1.54000000000000 rot_H_z = -0.9224031835537438
Ra = 0.21910483233046324 Za = -1.54000000000000 rot_H_z = -1.1510237269118786
Ra = 0.24652016766953672 Za = -1.54000000000000 rot_H_z = -0.9916817189938918
Ra = 0.3259375 Za = -1.54000000000000 rot_H_z = -0.8917469853929489
Ra = 0.28058997726591917 Za = -1.54000000000000 rot_H_z = -0.8256831368287862
Ra = 0.3712850227340808 Za = -1.54000000000000 rot_H_z = -1.0318988509709008
Ra = 0.28565798698854417 Za = -1.54000000000000 rot_H_z = -0.8120169395579211
Ra = 0.3662170130114558 Za = -1.54000000000000 rot_H_z = -1.023315987096062
Ra = 0.29430249197607666 Za = -1.54000000000000 rot_H_z = -0.8015359789632939
Ra = 0.3575725080239233 Za = -1.54000000000000 rot_H_z = -1.004660152659138
Ra = 0.3057575269608569 Za = -1.54000000000000 rot_H_z = -0.8153888116805064
Ra = 0.3461174730391431 Za = -1.54000000000000 rot_H_z = -0.9714996846919632
Ra = 0.31900553859116776 Za = -1.54000000000000 rot_H_z = -0.86186462862144
Ra = 0.3328694614088322 Za = -1.54000000000000 rot_H_z = -0.9214496428591445
Ra = 0.2795772133466108 Za = -1.54000000000000 rot_H_z = -0.8289784094248631
Ra = 0.3722977866533892 Za = -1.54000000000000 rot_H_z = -1.0334187177910295
Ra = 0.2826270418087498 Za = -1.54000000000000 rot_H_z = -0.8196005061572365
Ra = 0.36924795819125017 Za = -1.54000000000000 rot_H_z = -1.028647712046272
Ra = 0.28958067460581993 Za = -1.54000000000000 rot_H_z = -0.8050948487274283
Ra = 0.36229432539418005 Za = -1.54000000000000 rot_H_z = -1.015501054031219
Ra = 0.2997341209169931 Za = -1.54000000000000 rot_H_z = -0.8042369304355788
Ra = 0.3521408790830069 Za = -1.54000000000000 rot_H_z = -0.9901665241773934
Ra = 0.31222983233046325 Za = -1.54000000000000 rot_H_z = -0.8352691031165378
Ra = 0.33964516766953673 Za = -1.54000000000000 rot_H_z = -0.9484673922399338
J_z ( 1.49000000000000 ) =  -1.0454537263294106*pi
Ra = 1.51000000000000 Za = -1.54000000000000 H_phi_t = 2.010878266320733
Ra = 1.51000000000000 Za = -1.54000000000000 H_phi_s = -2.3607204724952178
Ra = 1.51000000000000 Za = -1.54000000000000 H_phi   = -0.3498422061744848
circ_H ( 1.51000000000000 ) =  -1.05652346264694*pi
Ra = 0.755 Za = -1.54000000000000 rot_H_z = -0.610774672112858
Ra = 0.01970057096953537 Za = -1.54000000000000 rot_H_z = -1.1175677099944985
Ra = 1.4902994290304648 Za = -1.54000000000000 rot_H_z = -0.1878033358611333
Ra = 0.10187715814981668 Za = -1.54000000000000 rot_H_z = -1.8630914559075928
Ra = 1.4081228418501834 Za = -1.54000000000000 rot_H_z = -0.2034252937878227
Ra = 0.2420457759342366 Za = -1.54000000000000 rot_H_z = -1.0173064532409377
Ra = 1.2679542240657633 Za = -1.54000000000000 rot_H_z = -0.24798096327228958
Ra = 0.4277864774324184 Za = -1.54000000000000 rot_H_z = -1.0452519496661754
Ra = 1.0822135225675815 Za = -1.54000000000000 rot_H_z = -0.3387572017808447
Ra = 0.6425998740688684 Za = -1.54000000000000 rot_H_z = -0.751873378610151
Ra = 0.8674001259311316 Za = -1.54000000000000 rot_H_z = -0.4968835878998856
Ra = 0.003278841915514863 Za = -1.54000000000000 rot_H_z = 9.946617080374043
Ra = 1.5067211580844853 Za = -1.54000000000000 rot_H_z = -0.1819421446969116
Ra = 0.05273109402644027 Za = -1.54000000000000 rot_H_z = -2.0329056042490334
Ra = 1.4572689059735597 Za = -1.54000000000000 rot_H_z = -0.19406669858980763
Ra = 0.16548261642725526 Za = -1.54000000000000 rot_H_z = -1.4708290227087604
Ra = 1.3445173835727449 Za = -1.54000000000000 rot_H_z = -0.22082915365065814
Ra = 0.3301183633252035 Za = -1.54000000000000 rot_H_z = -0.9098275350599323
Ra = 1.1798816366747964 Za = -1.54000000000000 rot_H_z = -0.28653259470314163
Ra = 0.5327333886603975 Za = -1.54000000000000 rot_H_z = -0.9133021884228967
Ra = 0.9772666113396025 Za = -1.54000000000000 rot_H_z = -0.40761634993546725
Ra = 0.3775 Za = -1.54000000000000 rot_H_z = -1.0402577042850574
Ra = 0.009850285484767685 Za = -1.54000000000000 rot_H_z = 0.9756303468077818
Ra = 0.7451497145152324 Za = -1.54000000000000 rot_H_z = -0.6220045094644338
Ra = 0.05093857907490834 Za = -1.54000000000000 rot_H_z = -2.027679094069441
Ra = 0.7040614209250917 Za = -1.54000000000000 rot_H_z = -0.6711824058773797
Ra = 0.1210228879671183 Za = -1.54000000000000 rot_H_z = -1.746470319066785
Ra = 0.6339771120328817 Za = -1.54000000000000 rot_H_z = -0.7638594437463375
Ra = 0.2138932387162092 Za = -1.54000000000000 rot_H_z = -1.181649672440333
Ra = 0.5411067612837908 Za = -1.54000000000000 rot_H_z = -0.9006638553861723
Ra = 0.3212999370344342 Za = -1.54000000000000 rot_H_z = -0.871615530496662
Ra = 0.4337000629655658 Za = -1.54000000000000 rot_H_z = -1.0409211323579566
Ra = 0.0016394209577574315 Za = -1.54000000000000 rot_H_z = 23.54909679995387
Ra = 0.7533605790422426 Za = -1.54000000000000 rot_H_z = -0.6126289288584541
Ra = 0.026365547013220136 Za = -1.54000000000000 rot_H_z = -1.5792806561939412
Ra = 0.7286344529867799 Za = -1.54000000000000 rot_H_z = -0.6413149443198094
Ra = 0.08274130821362763 Za = -1.54000000000000 rot_H_z = -1.9673133869676134
Ra = 0.6722586917863724 Za = -1.54000000000000 rot_H_z = -0.7118754274814396
Ra = 0.16505918166260175 Za = -1.54000000000000 rot_H_z = -1.4734121692202402
Ra = 0.5899408183373982 Za = -1.54000000000000 rot_H_z = -0.82731413803557
Ra = 0.26636669433019877 Za = -1.54000000000000 rot_H_z = -0.8846635237040488
Ra = 0.48863330566980123 Za = -1.54000000000000 rot_H_z = -0.9777830126725835
Ra = 1.1325 Za = -1.54000000000000 rot_H_z = -0.3105590785929806
Ra = 0.7648502854847677 Za = -1.54000000000000 rot_H_z = -0.599756718055029
Ra = 1.5001497145152323 Za = -1.54000000000000 rot_H_z = -0.1846186464991888
Ra = 0.8059385790749084 Za = -1.54000000000000 rot_H_z = -0.5560191048263885
Ra = 1.4590614209250918 Za = -1.54000000000000 rot_H_z = -0.19378310237714302
Ra = 0.8760228879671184 Za = -1.54000000000000 rot_H_z = -0.48915037112077897
Ra = 1.3889771120328818 Za = -1.54000000000000 rot_H_z = -0.208088984087198
Ra = 0.9688932387162092 Za = -1.54000000000000 rot_H_z = -0.41375474997162254
Ra = 1.2961067612837909 Za = -1.54000000000000 rot_H_z = -0.2372908183326783
Ra = 1.0762999370344344 Za = -1.54000000000000 rot_H_z = -0.3422656606546264
Ra = 1.1887000629655657 Za = -1.54000000000000 rot_H_z = -0.2823205681411327
Ra = 0.7566394209577575 Za = -1.54000000000000 rot_H_z = -0.6089262851178283
Ra = 1.5083605790422427 Za = -1.54000000000000 rot_H_z = -0.1812093436837685
Ra = 0.7813655470132201 Za = -1.54000000000000 rot_H_z = -0.5817515198837446
Ra = 1.48363445298678 Za = -1.54000000000000 rot_H_z = -0.1894537827796654
Ra = 0.8377413082136277 Za = -1.54000000000000 rot_H_z = -0.5245193107947639
Ra = 1.4272586917863723 Za = -1.54000000000000 rot_H_z = -0.19933483201331015
Ra = 0.9200591816626018 Za = -1.54000000000000 rot_H_z = -0.4516622607379377
Ra = 1.3449408183373983 Za = -1.54000000000000 rot_H_z = -0.22069646371364549
Ra = 1.0213666943301989 Za = -1.54000000000000 rot_H_z = -0.3769195434729973
Ra = 1.2436333056698012 Za = -1.54000000000000 rot_H_z = -0.2578531576712719
Ra = 0.18875 Za = -1.54000000000000 rot_H_z = -1.3305060878670734
Ra = 0.004925142742383842 Za = -1.54000000000000 rot_H_z = 5.420982327252119
Ra = 0.3725748572576162 Za = -1.54000000000000 rot_H_z = -1.0338235426796523
Ra = 0.02546928953745417 Za = -1.54000000000000 rot_H_z = -1.5343464816058847
Ra = 0.35203071046254586 Za = -1.54000000000000 rot_H_z = -0.989849672248603
Ra = 0.06051144398355915 Za = -1.54000000000000 rot_H_z = -2.0383775652970377
Ra = 0.3169885560164408 Za = -1.54000000000000 rot_H_z = -0.8535303754032668
Ra = 0.1069466193581046 Za = -1.54000000000000 rot_H_z = -1.832865604831753
Ra = 0.2705533806418954 Za = -1.54000000000000 rot_H_z = -0.8649059673467434
Ra = 0.1606499685172171 Za = -1.54000000000000 rot_H_z = -1.500375670731529
Ra = 0.2168500314827829 Za = -1.54000000000000 rot_H_z = -1.1642663084163747
Ra = 0.0008197104788787157 Za = -1.54000000000000 rot_H_z = 50.80229461873803
Ra = 0.3766802895211213 Za = -1.54000000000000 rot_H_z = -1.0392845821377108
Ra = 0.013182773506610068 Za = -1.54000000000000 rot_H_z = -0.11061258046235523
Ra = 0.36431722649338993 Za = -1.54000000000000 rot_H_z = -1.0196627497750939
Ra = 0.041370654106813814 Za = -1.54000000000000 rot_H_z = -1.961165633925154
Ra = 0.3361293458931862 Za = -1.54000000000000 rot_H_z = -0.9347747454158366
Ra = 0.08252959083130088 Za = -1.54000000000000 rot_H_z = -1.9683291958712656
Ra = 0.2949704091686991 Za = -1.54000000000000 rot_H_z = -0.801474023469936
Ra = 0.13318334716509939 Za = -1.54000000000000 rot_H_z = -1.6706325150157664
Ra = 0.24431665283490062 Za = -1.54000000000000 rot_H_z = -1.0042670699604521
Ra = 0.56625 Za = -1.54000000000000 rot_H_z = -0.8626835046767294
Ra = 0.3824251427423839 Za = -1.54000000000000 rot_H_z = -1.0453266498223464
Ra = 0.7500748572576161 Za = -1.54000000000000 rot_H_z = -0.6163629428729571
Ra = 0.4029692895374542 Za = -1.54000000000000 rot_H_z = -1.0541189162587514
Ra = 0.7295307104625459 Za = -1.54000000000000 rot_H_z = -0.640251359736693
Ra = 0.4380114439835592 Za = -1.54000000000000 rot_H_z = -1.0373446964697557
Ra = 0.6944885560164409 Za = -1.54000000000000 rot_H_z = -0.6831891328575175
Ra = 0.4844466193581046 Za = -1.54000000000000 rot_H_z = -0.9835392604966433
Ra = 0.6480533806418954 Za = -1.54000000000000 rot_H_z = -0.7443741545906093
Ra = 0.5381499685172172 Za = -1.54000000000000 rot_H_z = -0.9051311793868173
Ra = 0.5943500314827829 Za = -1.54000000000000 rot_H_z = -0.8208102617911344
Ra = 0.37831971047887875 Za = -1.54000000000000 rot_H_z = -1.0411930146429853
Ra = 0.7541802895211214 Za = -1.54000000000000 rot_H_z = -0.6117010660060389
Ra = 0.39068277350661007 Za = -1.54000000000000 rot_H_z = -1.0510651459503784
Ra = 0.74181722649339 Za = -1.54000000000000 rot_H_z = -0.625852135486241
Ra = 0.41887065410681384 Za = -1.54000000000000 rot_H_z = -1.0503444527521069
Ra = 0.7136293458931862 Za = -1.54000000000000 rot_H_z = -0.6593903406924557
Ra = 0.4600295908313009 Za = -1.54000000000000 rot_H_z = -1.0146725542331776
Ra = 0.6724704091686992 Za = -1.54000000000000 rot_H_z = -0.7115969355261083
Ra = 0.5106833471650994 Za = -1.54000000000000 rot_H_z = -0.9461888713463935
Ra = 0.6218166528349006 Za = -1.54000000000000 rot_H_z = -0.7810225533614403
Ra = 0.9437500000000001 Za = -1.54000000000000 rot_H_z = -0.43281259817069984
Ra = 0.7599251427423839 Za = -1.54000000000000 rot_H_z = -0.6052393758953318
Ra = 1.1275748572576163 Za = -1.54000000000000 rot_H_z = -0.3131949952519282
Ra = 0.7804692895374542 Za = -1.54000000000000 rot_H_z = -0.5827137775073981
Ra = 1.1070307104625459 Za = -1.54000000000000 rot_H_z = -0.32448108955049637
Ra = 0.8155114439835592 Za = -1.54000000000000 rot_H_z = -0.5463276315308558
Ra = 1.071988556016441 Za = -1.54000000000000 rot_H_z = -0.3448499417683504
Ra = 0.8619466193581047 Za = -1.54000000000000 rot_H_z = -0.5018434772646536
Ra = 1.0255533806418955 Za = -1.54000000000000 rot_H_z = -0.37414274363086086
Ra = 0.9156499685172172 Za = -1.54000000000000 rot_H_z = -0.4552695481455551
Ra = 0.9718500314827829 Za = -1.54000000000000 rot_H_z = -0.41157549819436134
Ra = 0.7558197104788787 Za = -1.54000000000000 rot_H_z = -0.6098497456567697
Ra = 1.1316802895211213 Za = -1.54000000000000 rot_H_z = -0.31099593591176156
Ra = 0.7681827735066101 Za = -1.54000000000000 rot_H_z = -0.5960766813345924
Ra = 1.11931722649339 Za = -1.54000000000000 rot_H_z = -0.31767460265231406
Ra = 0.7963706541068138 Za = -1.54000000000000 rot_H_z = -0.5658905937765706
Ra = 1.0911293458931863 Za = -1.54000000000000 rot_H_z = -0.3335458424775748
Ra = 0.837529590831301 Za = -1.54000000000000 rot_H_z = -0.5247225054785325
Ra = 1.0499704091686992 Za = -1.54000000000000 rot_H_z = -0.35840150118918057
Ra = 0.8881833471650995 Za = -1.54000000000000 rot_H_z = -0.4784676179629761
Ra = 0.9993166528349007 Za = -1.54000000000000 rot_H_z = -0.391931786107242
Ra = 1.32125 Za = -1.54000000000000 rot_H_z = -0.22842806949256778
Ra = 1.1374251427423838 Za = -1.54000000000000 rot_H_z = -0.3079497360925423
Ra = 1.5050748572576162 Za = -1.54000000000000 rot_H_z = -0.18265290896473374
Ra = 1.1579692895374543 Za = -1.54000000000000 rot_H_z = -0.2973480394045289
Ra = 1.4845307104625458 Za = -1.54000000000000 rot_H_z = -0.18925144795203863
Ra = 1.193011443983559 Za = -1.54000000000000 rot_H_z = -0.280290287406864
Ra = 1.449488556016441 Za = -1.54000000000000 rot_H_z = -0.19532124042560284
Ra = 1.2394466193581046 Za = -1.54000000000000 rot_H_z = -0.25961180358888614
Ra = 1.4030533806418954 Za = -1.54000000000000 rot_H_z = -0.20460673386392125
Ra = 1.2931499685172172 Za = -1.54000000000000 rot_H_z = -0.23837597467710525
Ra = 1.3493500314827829 Za = -1.54000000000000 rot_H_z = -0.2193270312326452
Ra = 1.1333197104788788 Za = -1.54000000000000 rot_H_z = -0.3101229573806057
Ra = 1.5091802895211213 Za = -1.54000000000000 rot_H_z = -0.18083400635555336
Ra = 1.1456827735066102 Za = -1.54000000000000 rot_H_z = -0.30363396133201714
Ra = 1.4968172264933899 Za = -1.54000000000000 rot_H_z = -0.18580639326373927
Ra = 1.1738706541068138 Za = -1.54000000000000 rot_H_z = -0.28944964048746913
Ra = 1.4686293458931863 Za = -1.54000000000000 rot_H_z = -0.19225775712276771
Ra = 1.215029590831301 Za = -1.54000000000000 rot_H_z = -0.2702156701615097
Ra = 1.4274704091686992 Za = -1.54000000000000 rot_H_z = -0.19929292894108563
Ra = 1.2656833471650994 Za = -1.54000000000000 rot_H_z = -0.24887787314493526
Ra = 1.3768166528349006 Za = -1.54000000000000 rot_H_z = -0.21132271561523375
Ra = 0.094375 Za = -1.54000000000000 rot_H_z = -1.9062805328265902
Ra = 0.002462571371191921 Za = -1.54000000000000 rot_H_z = 14.45012521718374
Ra = 0.1862874286288081 Za = -1.54000000000000 rot_H_z = -1.34521808507054
Ra = 0.012734644768727085 Za = -1.54000000000000 rot_H_z = 0.0006044269219414034
Ra = 0.17601535523127293 Za = -1.54000000000000 rot_H_z = -1.4069253239402162
Ra = 0.030255721991779574 Za = -1.54000000000000 rot_H_z = -1.7344464077141764
Ra = 0.1584942780082204 Za = -1.54000000000000 rot_H_z = -1.5136012803471326
Ra = 0.0534733096790523 Za = -1.54000000000000 rot_H_z = -2.0345688735530403
Ra = 0.1352766903209477 Za = -1.54000000000000 rot_H_z = -1.6575622516878399
Ra = 0.08032498425860855 Za = -1.54000000000000 rot_H_z = -1.978648802365032
Ra = 0.10842501574139145 Za = -1.54000000000000 rot_H_z = -1.8239347047767738
Ra = 0.00040985523943935787 Za = -1.54000000000000 rot_H_z = 105.33308961909742
Ra = 0.18834014476056066 Za = -1.54000000000000 rot_H_z = -1.3329526410887862
Ra = 0.006591386753305034 Za = -1.54000000000000 rot_H_z = 3.1583055185113746
Ra = 0.18215861324669497 Za = -1.54000000000000 rot_H_z = -1.369952753337829
Ra = 0.020685327053406907 Za = -1.54000000000000 rot_H_z = -1.2087099215879071
Ra = 0.1680646729465931 Za = -1.54000000000000 rot_H_z = -1.4551011043434228
Ra = 0.04126479541565044 Za = -1.54000000000000 rot_H_z = -1.959953468382072
Ra = 0.14748520458434955 Za = -1.54000000000000 rot_H_z = -1.581558782239937
Ra = 0.06659167358254969 Za = -1.54000000000000 rot_H_z = -2.028426988142422
Ra = 0.12215832641745031 Za = -1.54000000000000 rot_H_z = -1.7394109607992685
Ra = 0.283125 Za = -1.54000000000000 rot_H_z = -0.818230169127105
Ra = 0.19121257137119194 Za = -1.54000000000000 rot_H_z = -1.3158226297617706
Ra = 0.37503742862880807 Za = -1.54000000000000 rot_H_z = -1.0372183280494127
Ra = 0.2014846447687271 Za = -1.54000000000000 rot_H_z = -1.2548461526551904
Ra = 0.36476535523127296 Za = -1.54000000000000 rot_H_z = -1.0205465379311711
Ra = 0.2190057219917796 Za = -1.54000000000000 rot_H_z = -1.151605558241151
Ra = 0.34724427800822044 Za = -1.54000000000000 rot_H_z = -0.975199049864198
Ra = 0.2422233096790523 Za = -1.54000000000000 rot_H_z = -1.016284822348851
Ra = 0.3240266903209477 Za = -1.54000000000000 rot_H_z = -0.8834220822409904
Ra = 0.2690749842586086 Za = -1.54000000000000 rot_H_z = -0.8717041903903322
Ra = 0.29717501574139144 Za = -1.54000000000000 rot_H_z = -0.8020567446366655
Ra = 0.18915985523943937 Za = -1.54000000000000 rot_H_z = -1.3280603253406973
Ra = 0.3770901447605607 Za = -1.54000000000000 rot_H_z = -1.0397759022174604
Ra = 0.19534138675330504 Za = -1.54000000000000 rot_H_z = -1.291263632040673
Ra = 0.370908613246695 Za = -1.54000000000000 rot_H_z = -1.0313177687635289
Ra = 0.20943532705340692 Za = -1.54000000000000 rot_H_z = -1.2078980350476396
Ra = 0.3568146729465931 Za = -1.54000000000000 rot_H_z = -1.0027696555555288
Ra = 0.23001479541565045 Za = -1.54000000000000 rot_H_z = -1.0871359306707156
Ra = 0.3362352045843496 Za = -1.54000000000000 rot_H_z = -0.9351979228248126
Ra = 0.2553416735825497 Za = -1.54000000000000 rot_H_z = -0.9422825437357716
Ra = 0.3109083264174503 Za = -1.54000000000000 rot_H_z = -0.8306687912812691
Ra = 1.2268750000000002 Za = -1.54000000000000 rot_H_z = -0.2649972312756552
Ra = 1.1349625713711922 Za = -1.54000000000000 rot_H_z = -0.30925109730006994
Ra = 1.3187874286288082 Za = -1.54000000000000 rot_H_z = -0.22926681476117783
Ra = 1.1452346447687272 Za = -1.54000000000000 rot_H_z = -0.3038662821760054
Ra = 1.3085153552312732 Za = -1.54000000000000 rot_H_z = -0.23283459243045734
Ra = 1.1627557219917797 Za = -1.54000000000000 rot_H_z = -0.2949426367531851
Ra = 1.2909942780082206 Za = -1.54000000000000 rot_H_z = -0.23917272984535565
Ra = 1.1859733096790523 Za = -1.54000000000000 rot_H_z = -0.2836144425231715
Ra = 1.267776690320948 Za = -1.54000000000000 rot_H_z = -0.24805089731208918
Ra = 1.2128249842586087 Za = -1.54000000000000 rot_H_z = -0.271202395871458
Ra = 1.2409250157413916 Za = -1.54000000000000 rot_H_z = -0.2589888066468071
Ra = 1.1329098552394394 Za = -1.54000000000000 rot_H_z = -0.31034092602884034
Ra = 1.3208401447605609 Za = -1.54000000000000 rot_H_z = -0.2285672164519048
Ra = 1.1390913867533052 Za = -1.54000000000000 rot_H_z = -0.30707294247525585
Ra = 1.314658613246695 Za = -1.54000000000000 rot_H_z = -0.23068752403780546
Ra = 1.1531853270534071 Za = -1.54000000000000 rot_H_z = -0.29977643390348874
Ra = 1.3005646729465932 Za = -1.54000000000000 rot_H_z = -0.23567163111303246
Ra = 1.1737647954156507 Za = -1.54000000000000 rot_H_z = -0.28950134787268844
Ra = 1.2799852045843496 Za = -1.54000000000000 rot_H_z = -0.24331503484855155
Ra = 1.1990916735825499 Za = -1.54000000000000 rot_H_z = -0.27745921613737456
Ra = 1.2546583264174505 Za = -1.54000000000000 rot_H_z = -0.2533052014859245
Ra = 1.415625 Za = -1.54000000000000 rot_H_z = -0.20175089364265553
Ra = 1.323712571371192 Za = -1.54000000000000 rot_H_z = -0.22759580654039957
Ra = 1.507537428628808 Za = -1.54000000000000 rot_H_z = -0.18158031996781432
Ra = 1.333984644768727 Za = -1.54000000000000 rot_H_z = -0.22419501248233553
Ra = 1.497265355231273 Za = -1.54000000000000 rot_H_z = -0.18565341251771628
Ra = 1.3515057219917794 Za = -1.54000000000000 rot_H_z = -0.21866572255368144
Ra = 1.4797442780082204 Za = -1.54000000000000 rot_H_z = -0.19027380613901812
Ra = 1.374723309679052 Za = -1.54000000000000 rot_H_z = -0.2118993923287844
Ra = 1.4565266903209477 Za = -1.54000000000000 rot_H_z = -0.194184490786931
Ra = 1.4015749842586085 Za = -1.54000000000000 rot_H_z = -0.20495868970117925
Ra = 1.4296750157413913 Za = -1.54000000000000 rot_H_z = -0.19886098943040764
Ra = 1.3216598552394392 Za = -1.54000000000000 rot_H_z = -0.22828910209033326
Ra = 1.5095901447605606 Za = -1.54000000000000 rot_H_z = -0.18064418416533812
Ra = 1.327841386753305 Za = -1.54000000000000 rot_H_z = -0.22621506380860357
Ra = 1.5034086132466948 Za = -1.54000000000000 rot_H_z = -0.18334546528725326
Ra = 1.341935327053407 Za = -1.54000000000000 rot_H_z = -0.22164270910597983
Ra = 1.489314672946593 Za = -1.54000000000000 rot_H_z = -0.18807000566449972
Ra = 1.3625147954156505 Za = -1.54000000000000 rot_H_z = -0.21537451806996447
Ra = 1.4687352045843494 Za = -1.54000000000000 rot_H_z = -0.1922404135918967
Ra = 1.3878416735825496 Za = -1.54000000000000 rot_H_z = -0.20838232635005705
Ra = 1.4434083264174502 Za = -1.54000000000000 rot_H_z = -0.19634629471656595
Ra = 0.23593750000000002 Za = -1.54000000000000 rot_H_z = -1.0526383850740437
Ra = 0.18998128568559597 Za = -1.54000000000000 rot_H_z = -1.3231608882558046
Ra = 0.2818937143144041 Za = -1.54000000000000 rot_H_z = -0.8217034251512771
Ra = 0.19511732238436355 Za = -1.54000000000000 rot_H_z = -1.2925945921089443
Ra = 0.27675767761563647 Za = -1.54000000000000 rot_H_z = -0.8390194870279544
Ra = 0.2038778609958898 Za = -1.54000000000000 rot_H_z = -1.2406944878363966
Ra = 0.26799713900411026 Za = -1.54000000000000 rot_H_z = -0.8767876706400912
Ra = 0.21548665483952617 Za = -1.54000000000000 rot_H_z = -1.1722792367327894
Ra = 0.2563883451604739 Za = -1.54000000000000 rot_H_z = -0.9365664420779147
Ra = 0.2289124921293043 Za = -1.54000000000000 rot_H_z = -1.0935741050990124
Ra = 0.24296250787069573 Za = -1.54000000000000 rot_H_z = -1.0120349596610865
Ra = 0.1889549276197197 Za = -1.54000000000000 rot_H_z = -1.3292831082116976
Ra = 0.28292007238028033 Za = -1.54000000000000 rot_H_z = -0.8187883902464606
Ra = 0.19204569337665253 Za = -1.54000000000000 rot_H_z = -1.3108611976846376
Ra = 0.2798293066233475 Za = -1.54000000000000 rot_H_z = -0.8281420178157859
Ra = 0.19909266352670346 Za = -1.54000000000000 rot_H_z = -1.2690095957502727
Ra = 0.2727823364732966 Za = -1.54000000000000 rot_H_z = -0.8550781537018608
Ra = 0.20938239770782524 Za = -1.54000000000000 rot_H_z = -1.2082099862716458
Ra = 0.2624926022921748 Za = -1.54000000000000 rot_H_z = -0.9041545135789804
Ra = 0.22204583679127488 Za = -1.54000000000000 rot_H_z = -1.1337691575275226
Ra = 0.24982916320872517 Za = -1.54000000000000 rot_H_z = -0.9729382734371121
Ra = 0.3303125 Za = -1.54000000000000 rot_H_z = -0.9106568342671579
Ra = 0.28435628568559596 Za = -1.54000000000000 rot_H_z = -0.815048444360734
Ra = 0.37626871431440406 Za = -1.54000000000000 rot_H_z = -1.0387815566123635
Ra = 0.28949232238436357 Za = -1.54000000000000 rot_H_z = -0.8052124042560749
Ra = 0.37113267761563645 Za = -1.54000000000000 rot_H_z = -1.0316647319613352
Ra = 0.29825286099588977 Za = -1.54000000000000 rot_H_z = -0.8027798258803074
Ra = 0.36237213900411025 Za = -1.54000000000000 rot_H_z = -1.015666402184248
Ra = 0.30986165483952616 Za = -1.54000000000000 rot_H_z = -0.8272038177286092
Ra = 0.35076334516047386 Za = -1.54000000000000 rot_H_z = -0.9861387398226107
Ra = 0.3232874921293043 Za = -1.54000000000000 rot_H_z = -0.8802075338796271
Ra = 0.3373375078706957 Za = -1.54000000000000 rot_H_z = -0.939565614200859
Ra = 0.2833299276197197 Za = -1.54000000000000 rot_H_z = -0.8176800244257763
Ra = 0.3772950723802803 Za = -1.54000000000000 rot_H_z = -1.0400179889506376
Ra = 0.28642069337665255 Za = -1.54000000000000 rot_H_z = -0.8104054019800344
Ra = 0.37420430662334747 Za = -1.54000000000000 rot_H_z = -1.0361103135824088
Ra = 0.29346766352670345 Za = -1.54000000000000 rot_H_z = -0.8017690143167542
Ra = 0.36715733647329657 Za = -1.54000000000000 rot_H_z = -1.025034613712318
Ra = 0.3037573977078252 Za = -1.54000000000000 rot_H_z = -0.8108005813870491
Ra = 0.3568676022921748 Za = -1.54000000000000 rot_H_z = -1.0029030668478782
Ra = 0.31642083679127486 Za = -1.54000000000000 rot_H_z = -0.8512370583636582
Ra = 0.34420416320872516 Za = -1.54000000000000 rot_H_z = -0.9650029690000892
J_z ( 1.51000000000000 ) =  -1.0565234626489075*pi
Ra = 3.00000000000000 Za = -1.54000000000000 H_phi_t = -0.2552710190174712
Ra = 3.00000000000000 Za = -1.54000000000000 H_phi_s = 0.05820192371229238
Ra = 3.00000000000000 Za = -1.54000000000000 H_phi   = -0.1970690953051788
circ_H ( 3.00000000000000 ) =  -1.18241457183107*pi
Ra = 1.5 Za = -1.54000000000000 rot_H_z = -0.1846744956069628
Ra = 0.039140207224242385 Za = -1.54000000000000 rot_H_z = -1.9326970414144173
Ra = 2.9608597927757576 Za = -1.54000000000000 rot_H_z = 0.02290725706138911
Ra = 0.20240494996652325 Za = -1.54000000000000 rot_H_z = -1.2494019836915538
Ra = 2.7975950500334767 Za = -1.54000000000000 rot_H_z = 0.01955781726269083
Ra = 0.48088564755146335 Za = -1.54000000000000 rot_H_z = -0.9883554963482357
Ra = 2.5191143524485367 Za = -1.54000000000000 rot_H_z = 0.00942206841337355
Ra = 0.8499069088061292 Za = -1.54000000000000 rot_H_z = -0.5129859464751076
Ra = 2.1500930911938707 Za = -1.54000000000000 rot_H_z = -0.018193915739257355
Ra = 1.2766884915275531 Za = -1.54000000000000 rot_H_z = -0.24457918836132908
Ra = 1.7233115084724469 Za = -1.54000000000000 rot_H_z = -0.09297398040403859
Ra = 0.00651425546128781 Za = -1.54000000000000 rot_H_z = 3.2371437844423387
Ra = 2.993485744538712 Za = -1.54000000000000 rot_H_z = 0.023405100416498355
Ra = 0.10476376296643775 Za = -1.54000000000000 rot_H_z = -1.8459624303416304
Ra = 2.8952362370335623 Za = -1.54000000000000 rot_H_z = 0.021743098272882583
Ra = 0.32877341012037453 Za = -1.54000000000000 rot_H_z = -0.9040514126547095
Ra = 2.6712265898796255 Za = -1.54000000000000 rot_H_z = 0.01577225205649556
Ra = 0.655864297997093 Za = -1.54000000000000 rot_H_z = -0.7337454166814208
Ra = 2.344135702002907 Za = -1.54000000000000 rot_H_z = -0.0010650958617914041
Ra = 1.0584107059478098 Za = -1.54000000000000 rot_H_z = -0.3531360725641992
Ra = 1.9415892940521902 Za = -1.54000000000000 rot_H_z = -0.0461048964667779
Ra = 0.75 Za = -1.54000000000000 rot_H_z = -0.616448289399278
Ra = 0.019570103612121192 Za = -1.54000000000000 rot_H_z = -1.104686282815642
Ra = 1.4804298963878788 Za = -1.54000000000000 rot_H_z = -0.19013557099307832
Ra = 0.10120247498326163 Za = -1.54000000000000 rot_H_z = -1.8670596980923366
Ra = 1.3987975250167384 Za = -1.54000000000000 rot_H_z = -0.20562881145707834
Ra = 0.24044282377573167 Za = -1.54000000000000 rot_H_z = -1.0265460461432276
Ra = 1.2595571762242683 Za = -1.54000000000000 rot_H_z = -0.251323060775269
Ra = 0.4249534544030646 Za = -1.54000000000000 rot_H_z = -1.0470688049737316
Ra = 1.0750465455969354 Za = -1.54000000000000 rot_H_z = -0.3430146508736476
Ra = 0.6383442457637766 Za = -1.54000000000000 rot_H_z = -0.7577694088338713
Ra = 0.8616557542362234 Za = -1.54000000000000 rot_H_z = -0.5021095307013557
Ra = 0.003257127730643905 Za = -1.54000000000000 rot_H_z = 10.037090789433368
Ra = 1.496742872269356 Za = -1.54000000000000 rot_H_z = -0.1858315747112229
Ra = 0.05238188148321887 Za = -1.54000000000000 rot_H_z = -2.0320247501557267
Ra = 1.4476181185167811 Za = -1.54000000000000 rot_H_z = -0.1956315968192861
Ra = 0.16438670506018727 Za = -1.54000000000000 rot_H_z = -1.4775168478555862
Ra = 1.3356132949398127 Za = -1.54000000000000 rot_H_z = -0.2236664402226256
Ra = 0.3279321489985465 Za = -1.54000000000000 rot_H_z = -0.9004152587924992
Ra = 1.1720678510014535 Za = -1.54000000000000 rot_H_z = -0.2903318220001716
Ra = 0.5292053529739049 Za = -1.54000000000000 rot_H_z = -0.9186115876067635
Ra = 0.9707946470260951 Za = -1.54000000000000 rot_H_z = -0.4123518822179584
Ra = 2.25 Za = -1.54000000000000 rot_H_z = -0.008524209274185263
Ra = 1.5195701036121212 Za = -1.54000000000000 rot_H_z = -0.17565398469537996
Ra = 2.9804298963878786 Za = -1.54000000000000 rot_H_z = 0.0232120049714072
Ra = 1.6012024749832616 Za = -1.54000000000000 rot_H_z = -0.13458440047121645
Ra = 2.8987975250167386 Za = -1.54000000000000 rot_H_z = 0.021812180835989903
Ra = 1.7404428237757317 Za = -1.54000000000000 rot_H_z = -0.08831099201016701
Ra = 2.759557176224268 Za = -1.54000000000000 rot_H_z = 0.018541206493644755
Ra = 1.9249534544030646 Za = -1.54000000000000 rot_H_z = -0.04890641129109641
Ra = 2.5750465455969356 Za = -1.54000000000000 rot_H_z = 0.0120160175683169
Ra = 2.1383442457637765 Za = -1.54000000000000 rot_H_z = -0.01946682150981885
Ra = 2.3616557542362235 Za = -1.54000000000000 rot_H_z = 0.00016907083098535725
Ra = 1.503257127730644 Za = -1.54000000000000 rot_H_z = -0.18340705574679106
Ra = 2.996742872269356 Za = -1.54000000000000 rot_H_z = 0.0234520267833458
Ra = 1.5523818814832189 Za = -1.54000000000000 rot_H_z = -0.15774927229912095
Ra = 2.947618118516781 Za = -1.54000000000000 rot_H_z = 0.022690348009902547
Ra = 1.6643867050601873 Za = -1.54000000000000 rot_H_z = -0.1109122219286145
Ra = 2.8356132949398125 Za = -1.54000000000000 rot_H_z = 0.02047804158739674
Ra = 1.8279321489985465 Za = -1.54000000000000 rot_H_z = -0.06747783357378367
Ra = 2.6720678510014535 Za = -1.54000000000000 rot_H_z = 0.0158015215536325
Ra = 2.029205352973905 Za = -1.54000000000000 rot_H_z = -0.03288618695061707
Ra = 2.470794647026095 Za = -1.54000000000000 rot_H_z = 0.006908090370994588
Ra = 0.375 Za = -1.54000000000000 rot_H_z = -1.037169426481082
Ra = 0.009785051806060596 Za = -1.54000000000000 rot_H_z = 1.0046762355177807
Ra = 0.7402149481939394 Za = -1.54000000000000 rot_H_z = -0.6277108575213823
Ra = 0.05060123749163081 Za = -1.54000000000000 rot_H_z = -2.0264918580055875
Ra = 0.6993987625083692 Za = -1.54000000000000 rot_H_z = -0.6770044394214665
Ra = 0.12022141188786584 Za = -1.54000000000000 rot_H_z = -1.7514483852222047
Ra = 0.6297785881121342 Za = -1.54000000000000 rot_H_z = -0.7697514880114689
Ra = 0.2124767272015323 Za = -1.54000000000000 rot_H_z = -1.1899848428320379
Ra = 0.5375232727984677 Za = -1.54000000000000 rot_H_z = -0.9060775098657583
Ra = 0.3191721228818883 Za = -1.54000000000000 rot_H_z = -0.8625642160648113
Ra = 0.4308278771181117 Za = -1.54000000000000 rot_H_z = -1.0431118294250155
Ra = 0.0016285638653219525 Za = -1.54000000000000 rot_H_z = 23.73067830549425
Ra = 0.748371436134678 Za = -1.54000000000000 rot_H_z = -0.6183081032871893
Ra = 0.026190940741609436 Za = -1.54000000000000 rot_H_z = -1.5708394310333316
Ra = 0.7238090592583906 Za = -1.54000000000000 rot_H_z = -0.6470722545079406
Ra = 0.08219335253009363 Za = -1.54000000000000 rot_H_z = -1.9699338291617674
Ra = 0.6678066474699064 Za = -1.54000000000000 rot_H_z = -0.7177549942684713
Ra = 0.16396607449927325 Za = -1.54000000000000 rot_H_z = -1.4800857137178944
Ra = 0.5860339255007267 Za = -1.54000000000000 rot_H_z = -0.8331004025552708
Ra = 0.26460267648695246 Za = -1.54000000000000 rot_H_z = -0.8934131785795856
Ra = 0.48539732351304754 Za = -1.54000000000000 rot_H_z = -0.982240678762258
Ra = 1.125 Za = -1.54000000000000 rot_H_z = -0.3145836903334258
Ra = 0.7597850518060606 Za = -1.54000000000000 rot_H_z = -0.6053960931050213
Ra = 1.4902149481939393 Za = -1.54000000000000 rot_H_z = -0.18782655159541406
Ra = 0.8006012374916308 Za = -1.54000000000000 rot_H_z = -0.5615027779781672
Ra = 1.4493987625083693 Za = -1.54000000000000 rot_H_z = -0.19533604694694517
Ra = 0.8702214118878658 Za = -1.54000000000000 rot_H_z = -0.4943387250354858
Ra = 1.379778588112134 Za = -1.54000000000000 rot_H_z = -0.2105166362366213
Ra = 0.9624767272015323 Za = -1.54000000000000 rot_H_z = -0.41852818141857995
Ra = 1.2875232727984678 Za = -1.54000000000000 rot_H_z = -0.24046553504392598
Ra = 1.0691721228818882 Za = -1.54000000000000 rot_H_z = -0.3465502464900174
Ra = 1.1808278771181118 Za = -1.54000000000000 rot_H_z = -0.28607680126192436
Ra = 0.751628563865322 Za = -1.54000000000000 rot_H_z = -0.6145943034363581
Ra = 1.498371436134678 Za = -1.54000000000000 rot_H_z = -0.18526687865175973
Ra = 0.7761909407416094 Za = -1.54000000000000 rot_H_z = -0.5873305451715689
Ra = 1.4738090592583906 Za = -1.54000000000000 rot_H_z = -0.19138200008494266
Ra = 0.8321933525300936 Za = -1.54000000000000 rot_H_z = -0.5298722665407398
Ra = 1.4178066474699063 Za = -1.54000000000000 rot_H_z = -0.20128092087315608
Ra = 0.9139660744992733 Za = -1.54000000000000 rot_H_z = -0.4566555552589602
Ra = 1.3360339255007267 Za = -1.54000000000000 rot_H_z = -0.22353040442919547
Ra = 1.0146026764869525 Za = -1.54000000000000 rot_H_z = -0.381454893976251
Ra = 1.2353973235130475 Za = -1.54000000000000 rot_H_z = -0.26132928954791135
Ra = 1.875 Za = -1.54000000000000 rot_H_z = -0.05796030929792623
Ra = 1.5097850518060607 Za = -1.54000000000000 rot_H_z = -0.18055342019297171
Ra = 2.2402149481939393 Za = -1.54000000000000 rot_H_z = -0.009386085680984022
Ra = 1.5506012374916307 Za = -1.54000000000000 rot_H_z = -0.15869448757667826
Ra = 2.1993987625083693 Za = -1.54000000000000 rot_H_z = -0.013174129121908157
Ra = 1.620221411887866 Za = -1.54000000000000 rot_H_z = -0.12684284419606673
Ra = 2.129778588112134 Za = -1.54000000000000 rot_H_z = -0.02041438558729014
Ra = 1.7124767272015322 Za = -1.54000000000000 rot_H_z = -0.09604029884029797
Ra = 2.0375232727984676 Za = -1.54000000000000 rot_H_z = -0.03175335301011992
Ra = 1.8191721228818882 Za = -1.54000000000000 rot_H_z = -0.06936729848170431
Ra = 1.9308278771181118 Za = -1.54000000000000 rot_H_z = -0.04790557994855221
Ra = 1.501628563865322 Za = -1.54000000000000 rot_H_z = -0.18405444975866914
Ra = 2.2483714361346783 Za = -1.54000000000000 rot_H_z = -0.008666453512016628
Ra = 1.5261909407416094 Za = -1.54000000000000 rot_H_z = -0.17208018370887856
Ra = 2.2238090592583903 Za = -1.54000000000000 rot_H_z = -0.010870618701184956
Ra = 1.5821933525300937 Za = -1.54000000000000 rot_H_z = -0.14298803935112225
Ra = 2.1678066474699063 Za = -1.54000000000000 rot_H_z = -0.01633183301350502
Ra = 1.6639660744992733 Za = -1.54000000000000 rot_H_z = -0.11105253579283803
Ra = 2.0860339255007267 Za = -1.54000000000000 rot_H_z = -0.025522477965223944
Ra = 1.7646026764869525 Za = -1.54000000000000 rot_H_z = -0.08208954148515246
Ra = 1.9853973235130475 Za = -1.54000000000000 rot_H_z = -0.039189241987523465
Ra = 2.625 Za = -1.54000000000000 rot_H_z = 0.014071191120819034
Ra = 2.2597850518060607 Za = -1.54000000000000 rot_H_z = -0.0076795211371630395
Ra = 2.9902149481939393 Za = -1.54000000000000 rot_H_z = 0.02335747921734863
Ra = 2.3006012374916307 Za = -1.54000000000000 rot_H_z = -0.004334399263505373
Ra = 2.9493987625083693 Za = -1.54000000000000 rot_H_z = 0.02272002878713082
Ra = 2.370221411887866 Za = -1.54000000000000 rot_H_z = 0.0007561603519969998
Ra = 2.879778588112134 Za = -1.54000000000000 rot_H_z = 0.02143500492805507
Ra = 2.4624767272015324 Za = -1.54000000000000 rot_H_z = 0.006448014332288511
Ra = 2.7875232727984676 Za = -1.54000000000000 rot_H_z = 0.019298241698087113
Ra = 2.5691721228818882 Za = -1.54000000000000 rot_H_z = 0.011758603613482008
Ra = 2.6808278771181118 Za = -1.54000000000000 rot_H_z = 0.0161028366633506
Ra = 2.2516285638653217 Za = -1.54000000000000 rot_H_z = -0.008382441137411975
Ra = 2.9983714361346783 Za = -1.54000000000000 rot_H_z = 0.023475305335773602
Ra = 2.2761909407416097 Za = -1.54000000000000 rot_H_z = -0.0063009717854569935
Ra = 2.9738090592583903 Za = -1.54000000000000 rot_H_z = 0.02311098435446382
Ra = 2.3321933525300937 Za = -1.54000000000000 rot_H_z = -0.0019326387563267516
Ra = 2.9178066474699063 Za = -1.54000000000000 rot_H_z = 0.02216916421173661
Ra = 2.4139660744992733 Za = -1.54000000000000 rot_H_z = 0.0035945064074912186
Ra = 2.8360339255007267 Za = -1.54000000000000 rot_H_z = 0.020487710749837865
Ra = 2.5146026764869522 Za = -1.54000000000000 rot_H_z = 0.00919843836903712
Ra = 2.7353973235130478 Za = -1.54000000000000 rot_H_z = 0.017842643060711136
Ra = 0.1875 Za = -1.54000000000000 rot_H_z = -1.3379702275498655
Ra = 0.004892525903030298 Za = -1.54000000000000 rot_H_z = 5.48086706009403
Ra = 0.3701074740969697 Za = -1.54000000000000 rot_H_z = -1.0300514590534533
Ra = 0.025300618745815406 Za = -1.54000000000000 rot_H_z = -1.5254282947245703
Ra = 0.3496993812541846 Za = -1.54000000000000 rot_H_z = -0.9829296852860807
Ra = 0.06011070594393292 Za = -1.54000000000000 rot_H_z = -2.0386592385189055
Ra = 0.3148892940560671 Za = -1.54000000000000 rot_H_z = -0.8451894151409292
Ra = 0.10623836360076615 Za = -1.54000000000000 rot_H_z = -1.8371273441675147
Ra = 0.26876163639923384 Za = -1.54000000000000 rot_H_z = -0.8731714104085881
Ra = 0.15958606144094414 Za = -1.54000000000000 rot_H_z = -1.5068994686005066
Ra = 0.21541393855905586 Za = -1.54000000000000 rot_H_z = -1.1727067312380033
Ra = 0.0008142819326609763 Za = -1.54000000000000 rot_H_z = 51.16577957095774
Ra = 0.374185718067339 Za = -1.54000000000000 rot_H_z = -1.0360851234882098
Ra = 0.013095470370804718 Za = -1.54000000000000 rot_H_z = -0.08958399877010903
Ra = 0.3619045296291953 Za = -1.54000000000000 rot_H_z = -1.014666370417121
Ra = 0.041096676265046816 Za = -1.54000000000000 rot_H_z = -1.9580013596181418
Ra = 0.3339033237349532 Za = -1.54000000000000 rot_H_z = -0.9257340507047545
Ra = 0.08198303724963663 Za = -1.54000000000000 rot_H_z = -1.9709320657441838
Ra = 0.2930169627503634 Za = -1.54000000000000 rot_H_z = -0.8019664165752474
Ra = 0.13230133824347623 Za = -1.54000000000000 rot_H_z = -1.676140612822326
Ra = 0.24269866175652377 Za = -1.54000000000000 rot_H_z = -1.0135511496392802
Ra = 0.5625 Za = -1.54000000000000 rot_H_z = -0.8683323896972386
Ra = 0.3798925259030303 Za = -1.54000000000000 rot_H_z = -1.0428836535415869
Ra = 0.7451074740969696 Za = -1.54000000000000 rot_H_z = -0.6220531256826272
Ra = 0.4003006187458154 Za = -1.54000000000000 rot_H_z = -1.0539527067973573
Ra = 0.7246993812541846 Za = -1.54000000000000 rot_H_z = -0.6460060431925392
Ra = 0.4351107059439329 Za = -1.54000000000000 rot_H_z = -1.0397878705608221
Ra = 0.689889294056067 Za = -1.54000000000000 rot_H_z = -0.689032014099217
Ra = 0.48123836360076616 Za = -1.54000000000000 rot_H_z = -0.9878819334208409
Ra = 0.6437616363992339 Za = -1.54000000000000 rot_H_z = -0.7502704738374142
Ra = 0.5345860614409441 Za = -1.54000000000000 rot_H_z = -0.910509681562754
Ra = 0.5904139385590559 Za = -1.54000000000000 rot_H_z = -0.826614887136337
Ra = 0.375814281932661 Za = -1.54000000000000 rot_H_z = -1.0382148463366896
Ra = 0.749185718067339 Za = -1.54000000000000 rot_H_z = -0.6173774671463015
Ra = 0.3880954703708047 Za = -1.54000000000000 rot_H_z = -1.0496160032999917
Ra = 0.7369045296291953 Za = -1.54000000000000 rot_H_z = -0.6315691822738305
Ra = 0.4160966762650468 Za = -1.54000000000000 rot_H_z = -1.0515314087764196
Ra = 0.7089033237349531 Za = -1.54000000000000 rot_H_z = -0.6651889514175942
Ra = 0.4569830372496366 Za = -1.54000000000000 rot_H_z = -1.0181797824907974
Ra = 0.6680169627503634 Za = -1.54000000000000 rot_H_z = -0.7174762401138448
Ra = 0.5073013382434762 Za = -1.54000000000000 rot_H_z = -0.951144927714596
Ra = 0.6176986617565238 Za = -1.54000000000000 rot_H_z = -0.7869008314790591
Ra = 0.9375 Za = -1.54000000000000 rot_H_z = -0.43769953178691345
Ra = 0.7548925259030304 Za = -1.54000000000000 rot_H_z = -0.610896050093924
Ra = 1.1201074740969696 Za = -1.54000000000000 rot_H_z = -0.31724262728660246
Ra = 0.7753006187458154 Za = -1.54000000000000 rot_H_z = -0.5882961630473833
Ra = 1.0996993812541846 Za = -1.54000000000000 rot_H_z = -0.32862417583039516
Ra = 0.810110705943933 Za = -1.54000000000000 rot_H_z = -0.551772702182669
Ra = 1.064889294056067 Za = -1.54000000000000 rot_H_z = -0.34915428946285143
Ra = 0.8562383636007661 Za = -1.54000000000000 rot_H_z = -0.5070930572080439
Ra = 1.0187616363992338 Za = -1.54000000000000 rot_H_z = -0.3786590443571134
Ra = 0.9095860614409441 Za = -1.54000000000000 rot_H_z = -0.4602825525330161
Ra = 0.9654139385590559 Za = -1.54000000000000 rot_H_z = -0.4163355515720273
Ra = 0.750814281932661 Za = -1.54000000000000 rot_H_z = -0.6155205686362892
Ra = 1.1241857180673391 Za = -1.54000000000000 rot_H_z = -0.3150243831495505
Ra = 0.7630954703708047 Za = -1.54000000000000 rot_H_z = -0.6017041597009207
Ra = 1.1119045296291952 Za = -1.54000000000000 rot_H_z = -0.321760705164607
Ra = 0.7910966762650469 Za = -1.54000000000000 rot_H_z = -0.5714120856294453
Ra = 1.0839033237349531 Za = -1.54000000000000 rot_H_z = -0.337762302318926
Ra = 0.8319830372496366 Za = -1.54000000000000 rot_H_z = -0.5300763527015233
Ra = 1.0430169627503634 Za = -1.54000000000000 rot_H_z = -0.3628065251787378
Ra = 0.8823013382434762 Za = -1.54000000000000 rot_H_z = -0.4836025679885365
Ra = 0.9926986617565238 Za = -1.54000000000000 rot_H_z = -0.3965673380757364
Ra = 1.3125 Za = -1.54000000000000 rot_H_z = -0.2314374534793373
Ra = 1.1298925259030304 Za = -1.54000000000000 rot_H_z = -0.31195126600874357
Ra = 1.4951074740969696 Za = -1.54000000000000 rot_H_z = -0.18637104552424688
Ra = 1.1503006187458154 Za = -1.54000000000000 rot_H_z = -0.3012525155161869
Ra = 1.4746993812541846 Za = -1.54000000000000 rot_H_z = -0.19122435302543295
Ra = 1.185110705943933 Za = -1.54000000000000 rot_H_z = -0.28402534472575125
Ra = 1.439889294056067 Za = -1.54000000000000 rot_H_z = -0.19696275287594744
Ra = 1.2312383636007662 Za = -1.54000000000000 rot_H_z = -0.2631102473582785
Ra = 1.3937616363992338 Za = -1.54000000000000 rot_H_z = -0.2068729597430634
Ra = 1.2845860614409441 Za = -1.54000000000000 rot_H_z = -0.24156903795129692
Ra = 1.3404139385590559 Za = -1.54000000000000 rot_H_z = -0.2221256122248616
Ra = 1.1258142819326609 Za = -1.54000000000000 rot_H_z = -0.31414373191123346
Ra = 1.4991857180673391 Za = -1.54000000000000 rot_H_z = -0.18497415331894018
Ra = 1.1380954703708048 Za = -1.54000000000000 rot_H_z = -0.30759664052385993
Ra = 1.4869045296291952 Za = -1.54000000000000 rot_H_z = -0.18868772286494817
Ra = 1.1660966762650469 Za = -1.54000000000000 rot_H_z = -0.2932779493833966
Ra = 1.4589033237349531 Za = -1.54000000000000 rot_H_z = -0.1938080777141984
Ra = 1.2069830372496366 Za = -1.54000000000000 rot_H_z = -0.2738407133146521
Ra = 1.4180169627503634 Za = -1.54000000000000 rot_H_z = -0.201236023307918
Ra = 1.2573013382434761 Za = -1.54000000000000 rot_H_z = -0.2522328442087374
Ra = 1.3676986617565239 Za = -1.54000000000000 rot_H_z = -0.2138759484242838
Ra = 1.6875 Za = -1.54000000000000 rot_H_z = -0.10348901535080679
Ra = 1.5048925259030304 Za = -1.54000000000000 rot_H_z = -0.18273002694245122
Ra = 1.8701074740969696 Za = -1.54000000000000 rot_H_z = -0.05890251015566422
Ra = 1.5253006187458154 Za = -1.54000000000000 rot_H_z = -0.17256776417510622
Ra = 1.8496993812541846 Za = -1.54000000000000 rot_H_z = -0.06294779601807227
Ra = 1.560110705943933 Za = -1.54000000000000 rot_H_z = -0.15372692303363955
Ra = 1.814889294056067 Za = -1.54000000000000 rot_H_z = -0.07030550702501415
Ra = 1.6062383636007662 Za = -1.54000000000000 rot_H_z = -0.1324741297489318
Ra = 1.7687616363992338 Za = -1.54000000000000 rot_H_z = -0.08105760206295842
Ra = 1.6595860614409441 Za = -1.54000000000000 rot_H_z = -0.11252542100442264
Ra = 1.7154139385590559 Za = -1.54000000000000 rot_H_z = -0.09519968621063546
Ra = 1.5008142819326609 Za = -1.54000000000000 rot_H_z = -0.1843679176366635
Ra = 1.8741857180673391 Za = -1.54000000000000 rot_H_z = -0.058116401942369667
Ra = 1.5130954703708048 Za = -1.54000000000000 rot_H_z = -0.17896604885584821
Ra = 1.8619045296291952 Za = -1.54000000000000 rot_H_z = -0.06050586817678927
Ra = 1.5410966762650469 Za = -1.54000000000000 rot_H_z = -0.1638411632324086
Ra = 1.8339033237349531 Za = -1.54000000000000 rot_H_z = -0.06621213389755187
Ra = 1.5819830372496366 Za = -1.54000000000000 rot_H_z = -0.1430851572214653
Ra = 1.7930169627503634 Za = -1.54000000000000 rot_H_z = -0.07525120339495406
Ra = 1.6323013382434761 Za = -1.54000000000000 rot_H_z = -0.12222523227267068
Ra = 1.7426986617565239 Za = -1.54000000000000 rot_H_z = -0.08771305603694834
Ra = 2.0625 Za = -1.54000000000000 rot_H_z = -0.028467128682427595
Ra = 1.8798925259030304 Za = -1.54000000000000 rot_H_z = -0.05702844868892687
Ra = 2.2451074740969696 Za = -1.54000000000000 rot_H_z = -0.008952978330746403
Ra = 1.9003006187458154 Za = -1.54000000000000 rot_H_z = -0.05324958153911813
Ra = 2.2246993812541844 Za = -1.54000000000000 rot_H_z = -0.010788764703316342
Ra = 1.935110705943933 Za = -1.54000000000000 rot_H_z = -0.04718391480054657
Ra = 2.189889294056067 Za = -1.54000000000000 rot_H_z = -0.014103196468273571
Ra = 1.9812383636007662 Za = -1.54000000000000 rot_H_z = -0.0398184124464227
Ra = 2.143761636399234 Za = -1.54000000000000 rot_H_z = -0.01887607187721599
Ra = 2.0345860614409443 Za = -1.54000000000000 rot_H_z = -0.032151136816447656
Ra = 2.0904139385590557 Za = -1.54000000000000 rot_H_z = -0.0249900519672491
Ra = 1.8758142819326609 Za = -1.54000000000000 rot_H_z = -0.0578045030714015
Ra = 2.249185718067339 Za = -1.54000000000000 rot_H_z = -0.008595271785678565
Ra = 1.8880954703708048 Za = -1.54000000000000 rot_H_z = -0.05548884672151888
Ra = 2.236904529629195 Za = -1.54000000000000 rot_H_z = -0.009681620070506686
Ra = 1.9160966762650469 Za = -1.54000000000000 rot_H_z = -0.05043978105169461
Ra = 2.2089033237349534 Za = -1.54000000000000 rot_H_z = -0.012263474731223481
Ra = 1.9569830372496366 Za = -1.54000000000000 rot_H_z = -0.04360066427379067
Ra = 2.1680169627503636 Za = -1.54000000000000 rot_H_z = -0.01631012801983317
Ra = 2.0073013382434763 Za = -1.54000000000000 rot_H_z = -0.03596524205954568
Ra = 2.1176986617565237 Za = -1.54000000000000 rot_H_z = -0.0217793549686269
Ra = 0.09375 Za = -1.54000000000000 rot_H_z = -1.909770886103951
Ra = 0.002446262951515149 Za = -1.54000000000000 rot_H_z = 14.570832677285312
Ra = 0.18505373704848485 Za = -1.54000000000000 rot_H_z = -1.3525996611637545
Ra = 0.012650309372907703 Za = -1.54000000000000 rot_H_z = 0.022477032653022366
Ra = 0.1748496906270923 Za = -1.54000000000000 rot_H_z = -1.4139649460528547
Ra = 0.03005535297196646 Za = -1.54000000000000 rot_H_z = -1.727789933368098
Ra = 0.15744464702803354 Za = -1.54000000000000 rot_H_z = -1.520051043654294
Ra = 0.053119181800383074 Za = -1.54000000000000 rot_H_z = -2.033810169023732
Ra = 0.13438081819961692 Za = -1.54000000000000 rot_H_z = -1.6631552414872264
Ra = 0.07979303072047207 Za = -1.54000000000000 rot_H_z = -1.9810644483459288
Ra = 0.10770696927952793 Za = -1.54000000000000 rot_H_z = -1.8282780980406046
Ra = 0.00040714096633048813 Za = -1.54000000000000 rot_H_z = 106.06022173789823
Ra = 0.1870928590336695 Za = -1.54000000000000 rot_H_z = -1.3404030144888806
Ra = 0.006547735185402359 Za = -1.54000000000000 rot_H_z = 3.2026908491521535
Ra = 0.18095226481459764 Za = -1.54000000000000 rot_H_z = -1.3771965651460985
Ra = 0.020548338132523408 Za = -1.54000000000000 rot_H_z = -1.1966437552004043
Ra = 0.1669516618674766 Za = -1.54000000000000 rot_H_z = -1.4618757052092821
Ra = 0.04099151862481831 Za = -1.54000000000000 rot_H_z = -1.9567633060191594
Ra = 0.1465084813751817 Za = -1.54000000000000 rot_H_z = -1.5876185089807908
Ra = 0.06615066912173811 Za = -1.54000000000000 rot_H_z = -2.0294671816912544
Ra = 0.12134933087826189 Za = -1.54000000000000 rot_H_z = -1.7444415300202079
Ra = 0.28125 Za = -1.54000000000000 rot_H_z = -0.8236305734111014
Ra = 0.18994626295151515 Za = -1.54000000000000 rot_H_z = -1.3233697185358526
Ra = 0.3725537370484848 Za = -1.54000000000000 rot_H_z = -1.0337928491468773
Ra = 0.2001503093729077 Za = -1.54000000000000 rot_H_z = -1.2627445995047282
Ra = 0.3623496906270923 Za = -1.54000000000000 rot_H_z = -1.0156187445890446
Ra = 0.21755535297196646 Za = -1.54000000000000 rot_H_z = -1.1601226401960805
Ra = 0.3449446470280335 Za = -1.54000000000000 rot_H_z = -0.967549201731039
Ra = 0.24061918180038308 Za = -1.54000000000000 rot_H_z = -1.02552821378789
Ra = 0.32188081819961695 Za = -1.54000000000000 rot_H_z = -0.8741163300570847
Ra = 0.26729303072047206 Za = -1.54000000000000 rot_H_z = -0.8801624363488614
Ra = 0.29520696927952794 Za = -1.54000000000000 rot_H_z = -0.8014786746858249
Ra = 0.1879071409663305 Za = -1.54000000000000 rot_H_z = -1.3355382420043718
Ra = 0.3745928590336695 Za = -1.54000000000000 rot_H_z = -1.0366321674258963
Ra = 0.19404773518540236 Za = -1.54000000000000 rot_H_z = -1.2989508288555012
Ra = 0.36845226481459764 Za = -1.54000000000000 rot_H_z = -1.0273060235397473
Ra = 0.2080483381325234 Za = -1.54000000000000 rot_H_z = -1.216075023572584
Ra = 0.35445166186747656 Za = -1.54000000000000 rot_H_z = -0.9966018820520901
Ra = 0.2284915186248183 Za = -1.54000000000000 rot_H_z = -1.0960340625532936
Ra = 0.3340084813751817 Za = -1.54000000000000 rot_H_z = -0.9261669516661328
Ra = 0.2536506691217381 Za = -1.54000000000000 rot_H_z = -0.9515951280270336
Ra = 0.3088493308782619 Za = -1.54000000000000 rot_H_z = -0.8240158016717416
Ra = 1.21875 Za = -1.54000000000000 rot_H_z = -0.2685615546677611
Ra = 1.1274462629515152 Za = -1.54000000000000 rot_H_z = -0.3132641761035426
Ra = 1.3100537370484848 Za = -1.54000000000000 rot_H_z = -0.23229322290111254
Ra = 1.1376503093729078 Za = -1.54000000000000 rot_H_z = -0.3078310749078792
Ra = 1.2998496906270922 Za = -1.54000000000000 rot_H_z = -0.2359299531141712
Ra = 1.1550553529719665 Za = -1.54000000000000 rot_H_z = -0.29882429374095754
Ra = 1.2824446470280335 Za = -1.54000000000000 rot_H_z = -0.24237904322689374
Ra = 1.178119181800383 Za = -1.54000000000000 rot_H_z = -0.2873840141516335
Ra = 1.259380818199617 Za = -1.54000000000000 rot_H_z = -0.2513940042079943
Ra = 1.2047930307204722 Za = -1.54000000000000 rot_H_z = -0.27483861105007623
Ra = 1.2327069692795278 Za = -1.54000000000000 rot_H_z = -0.26247939424720634
Ra = 1.1254071409663304 Za = -1.54000000000000 rot_H_z = -0.3143636193809227
Ra = 1.3120928590336696 Za = -1.54000000000000 rot_H_z = -0.23157944787516604
Ra = 1.1315477351854024 Za = -1.54000000000000 rot_H_z = -0.3110666487457481
Ra = 1.3059522648145976 Za = -1.54000000000000 rot_H_z = -0.23374203426218232
Ra = 1.1455483381325233 Za = -1.54000000000000 rot_H_z = -0.30370363321454974
Ra = 1.2919516618674767 Za = -1.54000000000000 rot_H_z = -0.23881829278710764
Ra = 1.1659915186248182 Za = -1.54000000000000 rot_H_z = -0.29333016739775797
Ra = 1.2715084813751818 Za = -1.54000000000000 rot_H_z = -0.24658748091783478
Ra = 1.1911506691217382 Za = -1.54000000000000 rot_H_z = -0.2811642204023381
Ra = 1.2463493308782618 Za = -1.54000000000000 rot_H_z = -0.2567215725881584
Ra = 1.40625 Za = -1.54000000000000 rot_H_z = -0.20385713673836925
Ra = 1.3149462629515152 Za = -1.54000000000000 rot_H_z = -0.23058796108332613
Ra = 1.4975537370484848 Za = -1.54000000000000 rot_H_z = -0.18555386251338035
Ra = 1.3251503093729078 Za = -1.54000000000000 rot_H_z = -0.2271129137794483
Ra = 1.4873496906270922 Za = -1.54000000000000 rot_H_z = -0.1885772184205763
Ra = 1.3425553529719665 Za = -1.54000000000000 rot_H_z = -0.22144665893624227
Ra = 1.4699446470280335 Za = -1.54000000000000 rot_H_z = -0.1920408972960317
Ra = 1.365619181800383 Za = -1.54000000000000 rot_H_z = -0.21447307382932518
Ra = 1.446880818199617 Za = -1.54000000000000 rot_H_z = -0.19575509499792432
Ra = 1.3922930307204722 Za = -1.54000000000000 rot_H_z = -0.20724273878886024
Ra = 1.4202069692795278 Za = -1.54000000000000 rot_H_z = -0.20077279889451294
Ra = 1.3129071409663304 Za = -1.54000000000000 rot_H_z = -0.23129563295461542
Ra = 1.4995928590336696 Za = -1.54000000000000 rot_H_z = -0.18482519068104608
Ra = 1.3190477351854024 Za = -1.54000000000000 rot_H_z = -0.2291778497546002
Ra = 1.4934522648145976 Za = -1.54000000000000 rot_H_z = -0.18688945525075695
Ra = 1.3330483381325233 Za = -1.54000000000000 rot_H_z = -0.22450021580082047
Ra = 1.4794516618674767 Za = -1.54000000000000 rot_H_z = -0.19033206072216302
Ra = 1.3534915186248182 Za = -1.54000000000000 rot_H_z = -0.2180613586689702
Ra = 1.4590084813751818 Za = -1.54000000000000 rot_H_z = -0.19379146488157772
Ra = 1.3786506691217382 Za = -1.54000000000000 rot_H_z = -0.21082222104133752
Ra = 1.4338493308782618 Za = -1.54000000000000 rot_H_z = -0.19806498930144123
Ra = 1.59375 Za = -1.54000000000000 rot_H_z = -0.13779356965355305
Ra = 1.5024462629515152 Za = -1.54000000000000 rot_H_z = -0.18373278188303033
Ra = 1.6850537370484848 Za = -1.54000000000000 rot_H_z = -0.10424919969480495
Ra = 1.5126503093729078 Za = -1.54000000000000 rot_H_z = -0.17918428669225506
Ra = 1.6748496906270922 Za = -1.54000000000000 rot_H_z = -0.10748371221135944
Ra = 1.5300553529719665 Za = -1.54000000000000 rot_H_z = -0.1699493497397171
Ra = 1.6574446470280335 Za = -1.54000000000000 rot_H_z = -0.11325348943629265
Ra = 1.553119181800383 Za = -1.54000000000000 rot_H_z = -0.1573598547931283
Ra = 1.634380818199617 Za = -1.54000000000000 rot_H_z = -0.12145169480652562
Ra = 1.5797930307204722 Za = -1.54000000000000 rot_H_z = -0.1441021285711308
Ra = 1.6077069692795278 Za = -1.54000000000000 rot_H_z = -0.13186721408297153
Ra = 1.5004071409663304 Za = -1.54000000000000 rot_H_z = -0.18452207018309963
Ra = 1.6870928590336696 Za = -1.54000000000000 rot_H_z = -0.10361513722204507
Ra = 1.5065477351854024 Za = -1.54000000000000 rot_H_z = -0.18201822522810573
Ra = 1.6809522648145976 Za = -1.54000000000000 rot_H_z = -0.10553680211233196
Ra = 1.5205483381325233 Za = -1.54000000000000 rot_H_z = -0.17513512944554321
Ra = 1.6669516618674767 Za = -1.54000000000000 rot_H_z = -0.11006082962125019
Ra = 1.5409915186248182 Za = -1.54000000000000 rot_H_z = -0.16389891481128416
Ra = 1.6465084813751818 Za = -1.54000000000000 rot_H_z = -0.11705679694402216
Ra = 1.5661506691217382 Za = -1.54000000000000 rot_H_z = -0.1506785633576655
Ra = 1.6213493308782618 Za = -1.54000000000000 rot_H_z = -0.1264024047320822
Ra = 1.78125 Za = -1.54000000000000 rot_H_z = -0.07802389299589896
Ra = 1.6899462629515152 Za = -1.54000000000000 rot_H_z = -0.10273454315207742
Ra = 1.8725537370484848 Za = -1.54000000000000 rot_H_z = -0.05843010743260929
Ra = 1.7001503093729078 Za = -1.54000000000000 rot_H_z = -0.09964720826708584
Ra = 1.8623496906270922 Za = -1.54000000000000 rot_H_z = -0.06041808640945023
Ra = 1.7175553529719665 Za = -1.54000000000000 rot_H_z = -0.09459125933305201
Ra = 1.8449446470280335 Za = -1.54000000000000 rot_H_z = -0.06391781625334492
Ra = 1.740619181800383 Za = -1.54000000000000 rot_H_z = -0.08826411515028476
Ra = 1.821880818199617 Za = -1.54000000000000 rot_H_z = -0.06877885391531757
Ra = 1.7672930307204722 Za = -1.54000000000000 rot_H_z = -0.08142074010599731
Ra = 1.7952069692795278 Za = -1.54000000000000 rot_H_z = -0.07474403074829283
Ra = 1.6879071409663304 Za = -1.54000000000000 rot_H_z = -0.1033630517020161
Ra = 1.8745928590336696 Za = -1.54000000000000 rot_H_z = -0.05803831977302587
Ra = 1.6940477351854024 Za = -1.54000000000000 rot_H_z = -0.10148216095764107
Ra = 1.8684522648145976 Za = -1.54000000000000 rot_H_z = -0.05922363835430888
Ra = 1.7080483381325233 Za = -1.54000000000000 rot_H_z = -0.09732120287815227
Ra = 1.8544516618674767 Za = -1.54000000000000 rot_H_z = -0.06198885117625991
Ra = 1.7284915186248182 Za = -1.54000000000000 rot_H_z = -0.09154073045974642
Ra = 1.8340084813751818 Za = -1.54000000000000 rot_H_z = -0.0661900025582638
Ra = 1.7536506691217382 Za = -1.54000000000000 rot_H_z = -0.08486078354116922
Ra = 1.8088493308782618 Za = -1.54000000000000 rot_H_z = -0.07164512561525294
Ra = 0.234375 Za = -1.54000000000000 rot_H_z = -1.0617213675949841
Ra = 0.1887231314757576 Za = -1.54000000000000 rot_H_z = -1.330666450137688
Ra = 0.2800268685242424 Za = -1.54000000000000 rot_H_z = -0.8274939646886708
Ra = 0.19382515468645384 Za = -1.54000000000000 rot_H_z = -1.3002741490443288
Ra = 0.27492484531354616 Za = -1.54000000000000 rot_H_z = -0.8461694283022965
Ra = 0.20252767648598324 Za = -1.54000000000000 rot_H_z = -1.2486761901620937
Ra = 0.26622232351401676 Za = -1.54000000000000 rot_H_z = -0.8853710435503572
Ra = 0.21405959090019153 Za = -1.54000000000000 rot_H_z = -1.1806711219298318
Ra = 0.25469040909980845 Za = -1.54000000000000 rot_H_z = -0.9458582892091307
Ra = 0.22739651536023603 Za = -1.54000000000000 rot_H_z = -1.102435620493587
Ra = 0.24135348463976397 Za = -1.54000000000000 rot_H_z = -1.02129360567708
Ra = 0.18770357048316524 Za = -1.54000000000000 rot_H_z = -1.33675413502813
Ra = 0.2810464295168348 Za = -1.54000000000000 rot_H_z = -0.8242554749663427
Ra = 0.19077386759270118 Za = -1.54000000000000 rot_H_z = -1.3184364479524326
Ra = 0.2779761324072988 Za = -1.54000000000000 rot_H_z = -0.8345302668468904
Ra = 0.19777416906626172 Za = -1.54000000000000 rot_H_z = -1.2768253705043033
Ra = 0.2709758309337383 Za = -1.54000000000000 rot_H_z = -0.8630028382146193
Ra = 0.20799575931240916 Za = -1.54000000000000 rot_H_z = -1.2163851034344528
Ra = 0.26075424068759084 Za = -1.54000000000000 rot_H_z = -0.9132009942790411
Ra = 0.22057533456086906 Za = -1.54000000000000 rot_H_z = -1.1423938216146023
Ra = 0.24817466543913094 Za = -1.54000000000000 rot_H_z = -0.9822839786969375
Ra = 0.328125 Za = -1.54000000000000 rot_H_z = -0.9012501422669743
Ra = 0.2824731314757576 Za = -1.54000000000000 rot_H_z = -0.8200335570188813
Ra = 0.3737768685242424 Za = -1.54000000000000 rot_H_z = -1.0355258727046923
Ra = 0.28757515468645384 Za = -1.54000000000000 rot_H_z = -0.8082055580010987
Ra = 0.36867484531354616 Za = -1.54000000000000 rot_H_z = -1.0276854491898604
Ra = 0.29627767648598324 Za = -1.54000000000000 rot_H_z = -0.8016738207359069
Ra = 0.35997232351401676 Za = -1.54000000000000 rot_H_z = -1.0103700529383417
Ra = 0.30780959090019155 Za = -1.54000000000000 rot_H_z = -0.8209204902750002
Ra = 0.34844040909980845 Za = -1.54000000000000 rot_H_z = -0.9790220854906586
Ra = 0.32114651536023603 Za = -1.54000000000000 rot_H_z = -0.8709568062409261
Ra = 0.33510348463976397 Za = -1.54000000000000 rot_H_z = -0.9306412537719169
Ra = 0.2814535704831652 Za = -1.54000000000000 rot_H_z = -0.8230130508379148
Ra = 0.3747964295168348 Za = -1.54000000000000 rot_H_z = -1.0369020160564695
Ra = 0.2845238675927012 Za = -1.54000000000000 rot_H_z = -0.8146387008411793
Ra = 0.3717261324072988 Za = -1.54000000000000 rot_H_z = -1.0325686093886794
Ra = 0.2915241690662617 Za = -1.54000000000000 rot_H_z = -0.8029758159654676
Ra = 0.3647258309337383 Za = -1.54000000000000 rot_H_z = -1.0204691399378127
Ra = 0.30174575931240916 Za = -1.54000000000000 rot_H_z = -0.8070549517917911
Ra = 0.35450424068759084 Za = -1.54000000000000 rot_H_z = -0.996743645619361
Ra = 0.31432533456086903 Za = -1.54000000000000 rot_H_z = -0.8430194504215294
Ra = 0.34192466543913097 Za = -1.54000000000000 rot_H_z = -0.9569165193867164
J_z ( 3.00000000000000 ) =  -1.1824145718314787*pi
Ra = 15.0000000000000 Za = -1.54000000000000 H_phi_t = -0.005733727553473305
Ra = 15.0000000000000 Za = -1.54000000000000 H_phi_s = 0.0005684266652068726
Ra = 15.0000000000000 Za = -1.54000000000000 H_phi   = -0.005165300888266432
circ_H ( 15.0000000000000 ) =  -0.154959026647993*pi
Ra = 7.5 Za = -1.54000000000000 rot_H_z = 0.006311328407079833
Ra = 0.19570103612121237 Za = -1.54000000000000 rot_H_z = -1.2891277054537262
Ra = 14.804298963878788 Za = -1.54000000000000 rot_H_z = 0.0006493168751053148
Ra = 1.0120247498326158 Za = -1.54000000000000 rot_H_z = -0.38319954094691866
Ra = 13.987975250167384 Za = -1.54000000000000 rot_H_z = 0.0007970536853265954
Ra = 2.404428237757317 Za = -1.54000000000000 rot_H_z = 0.002997854005367749
Ra = 12.595571762242683 Za = -1.54000000000000 rot_H_z = 0.0011580867846228593
Ra = 4.249534544030646 Za = -1.54000000000000 rot_H_z = 0.022665846940757024
Ra = 10.750465455969355 Za = -1.54000000000000 rot_H_z = 0.002004517184255092
Ra = 6.383442457637766 Za = -1.54000000000000 rot_H_z = 0.00988140680970281
Ra = 8.616557542362234 Za = -1.54000000000000 rot_H_z = 0.004138455013781971
Ra = 0.03257127730643905 Za = -1.54000000000000 rot_H_z = -1.8029095906650738
Ra = 14.967428722693562 Za = -1.54000000000000 rot_H_z = 0.0006239677993955629
Ra = 0.5238188148321878 Za = -1.54000000000000 rot_H_z = -0.9266909121367419
Ra = 14.476181185167812 Za = -1.54000000000000 rot_H_z = 0.0007042641888261558
Ra = 1.643867050601873 Za = -1.54000000000000 rot_H_z = -0.11799759014078992
Ra = 13.356132949398127 Za = -1.54000000000000 rot_H_z = 0.0009406062456124653
Ra = 3.279321489985465 Za = -1.54000000000000 rot_H_z = 0.025933474992966363
Ra = 11.720678510014535 Za = -1.54000000000000 rot_H_z = 0.0014898894113191193
Ra = 5.292053529739048 Za = -1.54000000000000 rot_H_z = 0.015456680062433656
Ra = 9.707946470260952 Za = -1.54000000000000 rot_H_z = 0.0028192704757532003
Ra = 3.75 Za = -1.54000000000000 rot_H_z = 0.025606270628521895
Ra = 0.09785051806060618 Za = -1.54000000000000 rot_H_z = -1.8865456100966878
Ra = 7.402149481939394 Za = -1.54000000000000 rot_H_z = 0.0065580462341137385
Ra = 0.5060123749163079 Za = -1.54000000000000 rot_H_z = -0.953025210578275
Ra = 6.993987625083692 Za = -1.54000000000000 rot_H_z = 0.007712038821537927
Ra = 1.2022141188786586 Za = -1.54000000000000 rot_H_z = -0.2760199246492703
Ra = 6.297785881121341 Za = -1.54000000000000 rot_H_z = 0.010234959203892509
Ra = 2.124767272015323 Za = -1.54000000000000 rot_H_z = -0.02097653081574355
Ra = 5.375232727984677 Za = -1.54000000000000 rot_H_z = 0.014946410878051139
Ra = 3.191721228818883 Za = -1.54000000000000 rot_H_z = 0.02546119473493004
Ra = 4.308278771181117 Za = -1.54000000000000 rot_H_z = 0.02225473816590128
Ra = 0.016285638653219525 Za = -1.54000000000000 rot_H_z = -0.7012741273486309
Ra = 7.483714361346781 Za = -1.54000000000000 rot_H_z = 0.0063516457680037955
Ra = 0.2619094074160939 Za = -1.54000000000000 rot_H_z = -0.9071708669496346
Ra = 7.238090592583906 Za = -1.54000000000000 rot_H_z = 0.0069967191484432804
Ra = 0.8219335253009366 Za = -1.54000000000000 rot_H_z = -0.5399282136681958
Ra = 6.6780664746990634 Za = -1.54000000000000 rot_H_z = 0.008761426308239176
Ra = 1.6396607449927325 Za = -1.54000000000000 rot_H_z = -0.11951436287049244
Ra = 5.8603392550072675 Za = -1.54000000000000 rot_H_z = 0.01225502874816354
Ra = 2.646026764869524 Za = -1.54000000000000 rot_H_z = 0.014867872442376782
Ra = 4.853973235130476 Za = -1.54000000000000 rot_H_z = 0.018357390872620095
Ra = 11.25 Za = -1.54000000000000 rot_H_z = 0.0017164574689739892
Ra = 7.597850518060606 Za = -1.54000000000000 rot_H_z = 0.006075162819681859
Ra = 14.902149481939393 Za = -1.54000000000000 rot_H_z = 0.0006339625919440443
Ra = 8.006012374916308 Za = -1.54000000000000 rot_H_z = 0.005193800314639974
Ra = 14.493987625083692 Za = -1.54000000000000 rot_H_z = 0.0007011386390606391
Ra = 8.702214118878658 Za = -1.54000000000000 rot_H_z = 0.004011519691785135
Ra = 13.797785881121342 Za = -1.54000000000000 rot_H_z = 0.0008372403307661826
Ra = 9.624767272015323 Za = -1.54000000000000 rot_H_z = 0.00290009999449528
Ra = 12.875232727984677 Za = -1.54000000000000 rot_H_z = 0.0010715904262879395
Ra = 10.691721228818883 Za = -1.54000000000000 rot_H_z = 0.002042123386178151
Ra = 11.808278771181117 Za = -1.54000000000000 rot_H_z = 0.001451841875266039
Ra = 7.516285638653219 Za = -1.54000000000000 rot_H_z = 0.006271303306342761
Ra = 14.983714361346781 Za = -1.54000000000000 rot_H_z = 0.0006215046831249439
Ra = 7.761909407416094 Za = -1.54000000000000 rot_H_z = 0.005701601637947953
Ra = 14.738090592583905 Za = -1.54000000000000 rot_H_z = 0.0006599665289129787
Ra = 8.321933525300937 Za = -1.54000000000000 rot_H_z = 0.004612731618387004
Ra = 14.178066474699063 Za = -1.54000000000000 rot_H_z = 0.0007592332152796267
Ra = 9.139660744992732 Za = -1.54000000000000 rot_H_z = 0.0034308899326809085
Ra = 13.360339255007268 Za = -1.54000000000000 rot_H_z = 0.0009395500995913238
Ra = 10.146026764869525 Za = -1.54000000000000 rot_H_z = 0.002435649849709096
Ra = 12.353973235130475 Za = -1.54000000000000 rot_H_z = 0.0012397850945659393
Ra = 1.875 Za = -1.54000000000000 rot_H_z = -0.05796030929792623
Ra = 0.04892525903030309 Za = -1.54000000000000 rot_H_z = -2.0195528578858406
Ra = 3.701074740969697 Za = -1.54000000000000 rot_H_z = 0.025797871141230395
Ra = 0.25300618745815395 Za = -1.54000000000000 rot_H_z = -0.9551674534926633
Ra = 3.496993812541846 Za = -1.54000000000000 rot_H_z = 0.02626574965548363
Ra = 0.6011070594393293 Za = -1.54000000000000 rot_H_z = -0.810901358357393
Ra = 3.1488929405606707 Za = -1.54000000000000 rot_H_z = 0.025142383923150706
Ra = 1.0623836360076615 Za = -1.54000000000000 rot_H_z = -0.3506881654327785
Ra = 2.6876163639923387 Za = -1.54000000000000 rot_H_z = 0.016332028252859655
Ra = 1.5958606144094416 Za = -1.54000000000000 rot_H_z = -0.13687393843014384
Ra = 2.1541393855905584 Za = -1.54000000000000 rot_H_z = -0.017762581567027924
Ra = 0.008142819326609763 Za = -1.54000000000000 rot_H_z = 1.8954137864721785
Ra = 3.7418571806733905 Za = -1.54000000000000 rot_H_z = 0.025639917740912448
Ra = 0.13095470370804696 Za = -1.54000000000000 rot_H_z = -1.6845505768844742
Ra = 3.619045296291953 Za = -1.54000000000000 rot_H_z = 0.026056507500871233
Ra = 0.4109667626504683 Za = -1.54000000000000 rot_H_z = -1.053169742079664
Ra = 3.3390332373495317 Za = -1.54000000000000 rot_H_z = 0.02613269613593429
Ra = 0.8198303724963663 Za = -1.54000000000000 rot_H_z = -0.5420149788966517
Ra = 2.9301696275036337 Za = -1.54000000000000 rot_H_z = 0.022390925144066317
Ra = 1.323013382434762 Za = -1.54000000000000 rot_H_z = -0.22783144676138667
Ra = 2.426986617565238 Za = -1.54000000000000 rot_H_z = 0.004389720956723277
Ra = 5.625 Za = -1.54000000000000 rot_H_z = 0.013499718565580396
Ra = 3.798925259030303 Za = -1.54000000000000 rot_H_z = 0.025390420682436937
Ra = 7.4510747409696965 Za = -1.54000000000000 rot_H_z = 0.006433338393638783
Ra = 4.003006187458154 Za = -1.54000000000000 rot_H_z = 0.02428471498671838
Ra = 7.246993812541846 Za = -1.54000000000000 rot_H_z = 0.0069720774483043
Ra = 4.351107059439329 Za = -1.54000000000000 rot_H_z = 0.021951461713876567
Ra = 6.898892940560671 Za = -1.54000000000000 rot_H_z = 0.008012528958415074
Ra = 4.812383636007661 Za = -1.54000000000000 rot_H_z = 0.01864859331852358
Ra = 6.437616363992339 Za = -1.54000000000000 rot_H_z = 0.00966448490960246
Ra = 5.345860614409442 Za = -1.54000000000000 rot_H_z = 0.015124997346816577
Ra = 5.904139385590558 Za = -1.54000000000000 rot_H_z = 0.012035888947875332
Ra = 3.7581428193266095 Za = -1.54000000000000 rot_H_z = 0.025571952330420485
Ra = 7.4918571806733905 Za = -1.54000000000000 rot_H_z = 0.006331450417706273
Ra = 3.880954703708047 Za = -1.54000000000000 rot_H_z = 0.024981433855199783
Ra = 7.369045296291953 Za = -1.54000000000000 rot_H_z = 0.006643988211242199
Ra = 4.160966762650468 Za = -1.54000000000000 rot_H_z = 0.02327108096640846
Ra = 7.089033237349532 Za = -1.54000000000000 rot_H_z = 0.007424194505239574
Ra = 4.569830372496366 Za = -1.54000000000000 rot_H_z = 0.02037986713374176
Ra = 6.680169627503634 Za = -1.54000000000000 rot_H_z = 0.008753942021876114
Ra = 5.0730133824347625 Za = -1.54000000000000 rot_H_z = 0.016865136411286775
Ra = 6.1769866175652375 Za = -1.54000000000000 rot_H_z = 0.010756216546103356
Ra = 0.9375 Za = -1.54000000000000 rot_H_z = -0.43769953178691345
Ra = 0.024462629515151546 Za = -1.54000000000000 rot_H_z = -1.4787798381274548
Ra = 1.8505373704848485 Za = -1.54000000000000 rot_H_z = -0.06277793826062122
Ra = 0.12650309372907698 Za = -1.54000000000000 rot_H_z = -1.7123404560972322
Ra = 1.748496906270923 Za = -1.54000000000000 rot_H_z = -0.08619265694046407
Ra = 0.30055352971966465 Za = -1.54000000000000 rot_H_z = -0.805269818851535
Ra = 1.5744464702803354 Za = -1.54000000000000 rot_H_z = -0.1466292465967296
Ra = 0.5311918180038308 Za = -1.54000000000000 rot_H_z = -0.9156235850190324
Ra = 1.3438081819961694 Za = -1.54000000000000 rot_H_z = -0.22105185238705838
Ra = 0.7979303072047208 Za = -1.54000000000000 rot_H_z = -0.5642687113076308
Ra = 1.0770696927952792 Za = -1.54000000000000 rot_H_z = -0.34180661044284033
Ra = 0.004071409663304881 Za = -1.54000000000000 rot_H_z = 7.307833964391404
Ra = 1.8709285903366952 Za = -1.54000000000000 rot_H_z = -0.058743651134092634
Ra = 0.06547735185402348 Za = -1.54000000000000 rot_H_z = -2.030968277705615
Ra = 1.8095226481459765 Za = -1.54000000000000 rot_H_z = -0.07149482212412384
Ra = 0.20548338132523414 Za = -1.54000000000000 rot_H_z = -1.231210668026666
Ra = 1.6695166186747659 Za = -1.54000000000000 rot_H_z = -0.10921660665454924
Ra = 0.4099151862481831 Za = -1.54000000000000 rot_H_z = -1.0534108091334602
Ra = 1.4650848137518169 Za = -1.54000000000000 rot_H_z = -0.1928299007187988
Ra = 0.661506691217381 Za = -1.54000000000000 rot_H_z = -0.7261509072758052
Ra = 1.213493308782619 Za = -1.54000000000000 rot_H_z = -0.270902755865591
Ra = 2.8125 Za = -1.54000000000000 rot_H_z = 0.01992965363392136
Ra = 1.8994626295151515 Za = -1.54000000000000 rot_H_z = -0.05340139454756193
Ra = 3.7255373704848482 Za = -1.54000000000000 rot_H_z = 0.025705279875230434
Ra = 2.001503093729077 Za = -1.54000000000000 rot_H_z = -0.0368042489008896
Ra = 3.623496906270923 Za = -1.54000000000000 rot_H_z = 0.02604468394736427
Ra = 2.1755535297196644 Za = -1.54000000000000 rot_H_z = -0.015538482604926157
Ra = 3.4494464702803356 Za = -1.54000000000000 rot_H_z = 0.026279306221779077
Ra = 2.4061918180038306 Za = -1.54000000000000 rot_H_z = 0.003109089745248074
Ra = 3.2188081819961694 Za = -1.54000000000000 rot_H_z = 0.025631893268752894
Ra = 2.672930307204721 Za = -1.54000000000000 rot_H_z = 0.01583146762120683
Ra = 2.952069692795279 Za = -1.54000000000000 rot_H_z = 0.02276424923589362
Ra = 1.8790714096633048 Za = -1.54000000000000 rot_H_z = -0.05718412806905954
Ra = 3.7459285903366952 Za = -1.54000000000000 rot_H_z = 0.025623178895290033
Ra = 1.9404773518540235 Za = -1.54000000000000 rot_H_z = -0.04628901984951228
Ra = 3.6845226481459763 Za = -1.54000000000000 rot_H_z = 0.02585669156434333
Ra = 2.080483381325234 Za = -1.54000000000000 rot_H_z = -0.02620413851825032
Ra = 3.544516618674766 Za = -1.54000000000000 rot_H_z = 0.026212159684805267
Ra = 2.284915186248183 Za = -1.54000000000000 rot_H_z = -0.005586689426861274
Ra = 3.340084813751817 Za = -1.54000000000000 rot_H_z = 0.026135395616251986
Ra = 2.5365066912173813 Za = -1.54000000000000 rot_H_z = 0.010263582889556942
Ra = 3.0884933087826187 Za = -1.54000000000000 rot_H_z = 0.02458224891292211
Ra = 0.46875 Za = -1.54000000000000 rot_H_z = -1.0041140672825737
Ra = 0.012231314757575773 Za = -1.54000000000000 rot_H_z = 0.13591443141595905
Ra = 0.9252686852424242 Za = -1.54000000000000 rot_H_z = -0.44744080934139774
Ra = 0.06325154686453849 Za = -1.54000000000000 rot_H_z = -2.0351319453734544
Ra = 0.8742484531354615 Za = -1.54000000000000 rot_H_z = -0.49073091962228954
Ra = 0.15027676485983232 Za = -1.54000000000000 rot_H_z = -1.5642650618744947
Ra = 0.7872232351401677 Za = -1.54000000000000 rot_H_z = -0.5755039855973569
Ra = 0.2655959090019154 Za = -1.54000000000000 rot_H_z = -0.8884590157241732
Ra = 0.6719040909980847 Za = -1.54000000000000 rot_H_z = -0.7123420938936071
Ra = 0.3989651536023604 Za = -1.54000000000000 rot_H_z = -1.0537714693679625
Ra = 0.5385348463976396 Za = -1.54000000000000 rot_H_z = -0.9045499010558995
Ra = 0.0020357048316524406 Za = -1.54000000000000 rot_H_z = 18.248474222834997
Ra = 0.9354642951683476 Za = -1.54000000000000 rot_H_z = -0.439304421745744
Ra = 0.03273867592701174 Za = -1.54000000000000 rot_H_z = -1.8073064599467088
Ra = 0.9047613240729883 Za = -1.54000000000000 rot_H_z = -0.46431457779001395
Ra = 0.10274169066261707 Za = -1.54000000000000 rot_H_z = -1.8579861989757829
Ra = 0.8347583093373829 Za = -1.54000000000000 rot_H_z = -0.527390127731187
Ra = 0.20495759312409156 Za = -1.54000000000000 rot_H_z = -1.2343156494647438
Ra = 0.7325424068759084 Za = -1.54000000000000 rot_H_z = -0.6366905926371977
Ra = 0.3307533456086905 Za = -1.54000000000000 rot_H_z = -0.9125353338596867
Ra = 0.6067466543913095 Za = -1.54000000000000 rot_H_z = -0.8026886758302361
Ra = 1.40625 Za = -1.54000000000000 rot_H_z = -0.20385713673836925
Ra = 0.9497313147575758 Za = -1.54000000000000 rot_H_z = -0.42819225692628127
Ra = 1.8627686852424241 Za = -1.54000000000000 rot_H_z = -0.06033554577686939
Ra = 1.0007515468645385 Za = -1.54000000000000 rot_H_z = -0.39093473327223816
Ra = 1.8117484531354615 Za = -1.54000000000000 rot_H_z = -0.07099969244685544
Ra = 1.0877767648598322 Za = -1.54000000000000 rot_H_z = -0.335494476281216
Ra = 1.7247232351401678 Za = -1.54000000000000 rot_H_z = -0.09258131684646353
Ra = 1.2030959090019153 Za = -1.54000000000000 rot_H_z = -0.2756152499125357
Ra = 1.6094040909980847 Za = -1.54000000000000 rot_H_z = -0.1311705283909168
Ra = 1.3364651536023604 Za = -1.54000000000000 rot_H_z = -0.22339114563624984
Ra = 1.4760348463976396 Za = -1.54000000000000 rot_H_z = -0.19098283326901822
Ra = 0.9395357048316524 Za = -1.54000000000000 rot_H_z = -0.4361011234058987
Ra = 1.8729642951683476 Za = -1.54000000000000 rot_H_z = -0.0583510795170471
Ra = 0.9702386759270117 Za = -1.54000000000000 rot_H_z = -0.41276153228540036
Ra = 1.8422613240729881 Za = -1.54000000000000 rot_H_z = -0.06446997934286658
Ra = 1.040241690662617 Za = -1.54000000000000 rot_H_z = -0.3645817952839199
Ra = 1.772258309337383 Za = -1.54000000000000 rot_H_z = -0.08019846150467735
Ra = 1.1424575931240915 Za = -1.54000000000000 rot_H_z = -0.3053107979788896
Ra = 1.6700424068759085 Za = -1.54000000000000 rot_H_z = -0.10904442434465267
Ra = 1.2682533456086906 Za = -1.54000000000000 rot_H_z = -0.24786320441074583
Ra = 1.5442466543913094 Za = -1.54000000000000 rot_H_z = -0.16211844244775264
Ra = 1.171875 Za = -1.54000000000000 rot_H_z = -0.2904263916810086
Ra = 0.9436156573787879 Za = -1.54000000000000 rot_H_z = -0.43291700474939177
Ra = 1.400134342621212 Za = -1.54000000000000 rot_H_z = -0.20530483264952348
Ra = 0.9691257734322692 Za = -1.54000000000000 rot_H_z = -0.4135829003052356
Ra = 1.3746242265677306 Za = -1.54000000000000 rot_H_z = -0.21192682989940126
Ra = 1.012638382429916 Za = -1.54000000000000 rot_H_z = -0.3827834455050123
Ra = 1.331111617570084 Za = -1.54000000000000 rot_H_z = -0.22513458379019347
Ra = 1.0702979545009577 Za = -1.54000000000000 rot_H_z = -0.3458694202462471
Ra = 1.2734520454990423 Za = -1.54000000000000 rot_H_z = -0.24583081708547194
Ra = 1.13698257680118 Za = -1.54000000000000 rot_H_z = -0.3081831258964005
Ra = 1.20676742319882 Za = -1.54000000000000 rot_H_z = -0.27393874532343787
Ra = 0.9385178524158262 Za = -1.54000000000000 rot_H_z = -0.43689951906917823
Ra = 1.4052321475841738 Za = -1.54000000000000 rot_H_z = -0.20409411579788683
Ra = 0.9538693379635059 Za = -1.54000000000000 rot_H_z = -0.42502777632098443
Ra = 1.389880662036494 Za = -1.54000000000000 rot_H_z = -0.20785684619271372
Ra = 0.9888708453313085 Za = -1.54000000000000 rot_H_z = -0.3992764694995543
Ra = 1.3548791546686916 Za = -1.54000000000000 rot_H_z = -0.21764180770255015
Ra = 1.0399787965620457 Za = -1.54000000000000 rot_H_z = -0.36475047170583696
Ra = 1.3037712034379543 Za = -1.54000000000000 rot_H_z = -0.23451958485374824
Ra = 1.1028766728043453 Za = -1.54000000000000 rot_H_z = -0.32682106186885207
Ra = 1.2408733271956547 Za = -1.54000000000000 rot_H_z = -0.2590105516312553
Ra = 1.640625 Za = -1.54000000000000 rot_H_z = -0.11916460556576913
Ra = 1.412365657378788 Za = -1.54000000000000 rot_H_z = -0.20246733483702783
Ra = 1.868884342621212 Za = -1.54000000000000 rot_H_z = -0.05913969443240119
Ra = 1.4378757734322694 Za = -1.54000000000000 rot_H_z = -0.19732384135282288
Ra = 1.8433742265677306 Za = -1.54000000000000 rot_H_z = -0.06424055338311419
Ra = 1.481388382429916 Za = -1.54000000000000 rot_H_z = -0.18993803615784088
Ra = 1.799861617570084 Za = -1.54000000000000 rot_H_z = -0.07367510398831811
Ra = 1.5390479545009577 Za = -1.54000000000000 rot_H_z = -0.16496870031007305
Ra = 1.7422020454990423 Za = -1.54000000000000 rot_H_z = -0.0878443783323577
Ra = 1.60573257680118 Za = -1.54000000000000 rot_H_z = -0.1326840277801855
Ra = 1.67551742319882 Za = -1.54000000000000 rot_H_z = -0.10726883605578053
Ra = 1.4072678524158262 Za = -1.54000000000000 rot_H_z = -0.20362176165180923
Ra = 1.8739821475841738 Za = -1.54000000000000 rot_H_z = -0.05815546994052062
Ra = 1.422619337963506 Za = -1.54000000000000 rot_H_z = -0.20027164618558047
Ra = 1.858630662036494 Za = -1.54000000000000 rot_H_z = -0.06115419346867523
Ra = 1.4576208453313084 Za = -1.54000000000000 rot_H_z = -0.1940109305864759
Ra = 1.8236291546686916 Za = -1.54000000000000 rot_H_z = -0.06840104789778201
Ra = 1.5087287965620457 Za = -1.54000000000000 rot_H_z = -0.1810414592285028
Ra = 1.7725212034379543 Za = -1.54000000000000 rot_H_z = -0.08013417704570824
Ra = 1.5716266728043453 Za = -1.54000000000000 rot_H_z = -0.14798792460209675
Ra = 1.7096233271956547 Za = -1.54000000000000 rot_H_z = -0.09686375690252991
Ra = 0.234375 Za = -1.54000000000000 rot_H_z = -1.0617213675949841
Ra = 0.0061156573787878865 Za = -1.54000000000000 rot_H_z = 3.676832150243814
Ra = 0.4626343426212121 Za = -1.54000000000000 rot_H_z = -1.0115959225165607
Ra = 0.031625773432269244 Za = -1.54000000000000 rot_H_z = -1.7767391414565634
Ra = 0.43712422656773076 Za = -1.54000000000000 rot_H_z = -1.0381076933720177
Ra = 0.07513838242991616 Za = -1.54000000000000 rot_H_z = -2.0007880586029527
Ra = 0.39361161757008384 Za = -1.54000000000000 rot_H_z = -1.0523471208385722
Ra = 0.1327979545009577 Za = -1.54000000000000 rot_H_z = -1.6730392258670452
Ra = 0.33595204549904234 Za = -1.54000000000000 rot_H_z = -0.9340645452341718
Ra = 0.1994825768011802 Za = -1.54000000000000 rot_H_z = -1.2666994728031327
Ra = 0.2692674231988198 Za = -1.54000000000000 rot_H_z = -0.8708075543447151
Ra = 0.0010178524158262203 Za = -1.54000000000000 rot_H_z = 40.18932107998466
Ra = 0.4677321475841738 Za = -1.54000000000000 rot_H_z = -1.0053829548814317
Ra = 0.01636933796350587 Za = -1.54000000000000 rot_H_z = -0.7138323694727085
Ra = 0.45238066203649413 Za = -1.54000000000000 rot_H_z = -1.023276418129626
Ra = 0.051370845331308534 Za = -1.54000000000000 rot_H_z = -2.029103295503898
Ra = 0.41737915466869147 Za = -1.54000000000000 rot_H_z = -1.0510077876378254
Ra = 0.10247879656204578 Za = -1.54000000000000 rot_H_z = -1.8595410062730737
Ra = 0.3662712034379542 Za = -1.54000000000000 rot_H_z = -1.023416627936296
Ra = 0.16537667280434526 Za = -1.54000000000000 rot_H_z = -1.4714752241834574
Ra = 0.30337332719565474 Za = -1.54000000000000 rot_H_z = -0.8100162364134746
Ra = 0.703125 Za = -1.54000000000000 rot_H_z = -0.6723476945437366
Ra = 0.4748656573787879 Za = -1.54000000000000 rot_H_z = -0.9963096165278547
Ra = 0.9313843426212121 Za = -1.54000000000000 rot_H_z = -0.44254055706429263
Ra = 0.5003757734322692 Za = -1.54000000000000 rot_H_z = -0.9611849711114466
Ra = 0.9058742265677308 Za = -1.54000000000000 rot_H_z = -0.4633810888941863
Ra = 0.5438883824299161 Za = -1.54000000000000 rot_H_z = -0.8964584203399895
Ra = 0.8623616175700839 Za = -1.54000000000000 rot_H_z = -0.5014641462666019
Ra = 0.6015479545009577 Za = -1.54000000000000 rot_H_z = -0.8102573678638407
Ra = 0.8047020454990423 Za = -1.54000000000000 rot_H_z = -0.5572843975479467
Ra = 0.6682325768011802 Za = -1.54000000000000 rot_H_z = -0.7171905659549438
Ra = 0.7380174231988198 Za = -1.54000000000000 rot_H_z = -0.6302693723807682
Ra = 0.4697678524158262 Za = -1.54000000000000 rot_H_z = -1.0028362556361756
Ra = 0.9364821475841738 Za = -1.54000000000000 rot_H_z = -0.4385011648972652
Ra = 0.48511933796350587 Za = -1.54000000000000 rot_H_z = -0.9826209188696602
Ra = 0.9211306620364941 Za = -1.54000000000000 rot_H_z = -0.4507904241538645
Ra = 0.5201208453313085 Za = -1.54000000000000 rot_H_z = -0.9322135732122803
Ra = 0.8861291546686915 Za = -1.54000000000000 rot_H_z = -0.4802540831149402
Ra = 0.5712287965620457 Za = -1.54000000000000 rot_H_z = -0.8552006335189102
Ra = 0.8350212034379543 Za = -1.54000000000000 rot_H_z = -0.5271364359625794
Ra = 0.6341266728043453 Za = -1.54000000000000 rot_H_z = -0.7636502237811769
Ra = 0.7721233271956547 Za = -1.54000000000000 rot_H_z = -0.5917559004695416
Ra = 0.1171875 Za = -1.54000000000000 rot_H_z = -1.7702474561212127
Ra = 0.0030578286893939433 Za = -1.54000000000000 rot_H_z = 10.927781822206239
Ra = 0.23131717131060606 Za = -1.54000000000000 rot_H_z = -1.0795354709957365
Ra = 0.015812886716134622 Za = -1.54000000000000 rot_H_z = -0.6275702856459842
Ra = 0.21856211328386538 Za = -1.54000000000000 rot_H_z = -1.1542100642484279
Ra = 0.03756919121495808 Za = -1.54000000000000 rot_H_z = -1.9085659136912438
Ra = 0.19680580878504192 Za = -1.54000000000000 rot_H_z = -1.2825697355465042
Ra = 0.06639897725047884 Za = -1.54000000000000 rot_H_z = -2.0288869539463494
Ra = 0.16797602274952117 Za = -1.54000000000000 rot_H_z = -1.4556404163963048
Ra = 0.0997412884005901 Za = -1.54000000000000 rot_H_z = -1.8756029616589243
Ra = 0.1346337115994099 Za = -1.54000000000000 rot_H_z = -1.661576305851904
Ra = 0.0005089262079131102 Za = -1.54000000000000 rot_H_z = 84.10122739768457
Ra = 0.2338660737920869 Za = -1.54000000000000 rot_H_z = -1.064682900095221
Ra = 0.008184668981752935 Za = -1.54000000000000 rot_H_z = 1.8681282956915517
Ra = 0.22619033101824706 Za = -1.54000000000000 rot_H_z = -1.1094917392430492
Ra = 0.025685422665654267 Za = -1.54000000000000 rot_H_z = -1.5455545464209286
Ra = 0.20868957733434573 Za = -1.54000000000000 rot_H_z = -1.2122939623155276
Ra = 0.05123939828102289 Za = -1.54000000000000 rot_H_z = -2.02868159320797
Ra = 0.1831356017189771 Za = -1.54000000000000 rot_H_z = -1.364091886349443
Ra = 0.08268833640217263 Za = -1.54000000000000 rot_H_z = -1.9675679328487954
Ra = 0.15168666359782737 Za = -1.54000000000000 rot_H_z = -1.5555458910471716
Ra = 0.3515625 Za = -1.54000000000000 rot_H_z = -0.9884928495336247
Ra = 0.23743282868939394 Za = -1.54000000000000 rot_H_z = -1.0439607454836874
Ra = 0.46569217131060603 Za = -1.54000000000000 rot_H_z = -1.0078983048220493
Ra = 0.2501878867161346 Za = -1.54000000000000 rot_H_z = -0.9709195650503659
Ra = 0.4529371132838654 Za = -1.54000000000000 rot_H_z = -1.0226738049908466
Ra = 0.27194419121495805 Za = -1.54000000000000 rot_H_z = -0.8587106119949866
Ra = 0.43118080878504195 Za = -1.54000000000000 rot_H_z = -1.0428513094592642
Ra = 0.30077397725047883 Za = -1.54000000000000 rot_H_z = -0.8055748706778942
Ra = 0.40235102274952117 Za = -1.54000000000000 rot_H_z = -1.054103148611052
Ra = 0.3341162884005901 Za = -1.54000000000000 rot_H_z = -0.9266101884178468
Ra = 0.3690087115994099 Za = -1.54000000000000 rot_H_z = -1.0282485830511696
Ra = 0.2348839262079131 Za = -1.54000000000000 rot_H_z = -1.058761306843902
Ra = 0.4682410737920869 Za = -1.54000000000000 rot_H_z = -1.004749640180492
Ra = 0.24255966898175294 Za = -1.54000000000000 rot_H_z = -1.0143502030247014
Ra = 0.46056533101824704 Za = -1.54000000000000 rot_H_z = -1.0140454730603459
Ra = 0.26006042266565427 Za = -1.54000000000000 rot_H_z = -0.9168562185369673
Ra = 0.44306457733434573 Za = -1.54000000000000 rot_H_z = -1.0327491849976038
Ra = 0.28561439828102286 Za = -1.54000000000000 rot_H_z = -0.8121127660120209
Ra = 0.41751060171897714 Za = -1.54000000000000 rot_H_z = -1.0509516543272603
Ra = 0.31706333640217266 Za = -1.54000000000000 rot_H_z = -0.8538343394889907
Ra = 0.38606166359782734 Za = -1.54000000000000 rot_H_z = -1.0482583617045549
Ra = 1.5234375 Za = -1.54000000000000 rot_H_z = -0.17358223261065575
Ra = 1.4093078286893939 Za = -1.54000000000000 rot_H_z = -0.20315488609876553
Ra = 1.6375671713106061 Za = -1.54000000000000 rot_H_z = -0.12027802089068507
Ra = 1.4220628867161347 Za = -1.54000000000000 rot_H_z = -0.20038639545441228
Ra = 1.6248121132838653 Za = -1.54000000000000 rot_H_z = -0.12506242842231696
Ra = 1.443819191214958 Za = -1.54000000000000 rot_H_z = -0.19627548725990884
Ra = 1.603055808785042 Za = -1.54000000000000 rot_H_z = -0.13380244897808868
Ra = 1.472648977250479 Za = -1.54000000000000 rot_H_z = -0.1915838037467772
Ra = 1.574226022749521 Za = -1.54000000000000 rot_H_z = -0.14673481591521131
Ra = 1.5059912884005902 Za = -1.54000000000000 rot_H_z = -0.1822604341966425
Ra = 1.5408837115994098 Za = -1.54000000000000 rot_H_z = -0.16395813611757148
Ra = 1.4067589262079132 Za = -1.54000000000000 rot_H_z = -0.2037392481723863
Ra = 1.6401160737920868 Za = -1.54000000000000 rot_H_z = -0.11934905114701477
Ra = 1.4144346689817529 Za = -1.54000000000000 rot_H_z = -0.20201056356385738
Ra = 1.6324403310182471 Za = -1.54000000000000 rot_H_z = -0.12217333978310796
Ra = 1.4319354226656542 Za = -1.54000000000000 rot_H_z = -0.1984264192152363
Ra = 1.6149395773343458 Za = -1.54000000000000 rot_H_z = -0.1289320626123338
Ra = 1.4574893982810229 Za = -1.54000000000000 rot_H_z = -0.19403175364720227
Ra = 1.5893856017189771 Za = -1.54000000000000 rot_H_z = -0.13972310878887573
Ra = 1.4889383364021727 Za = -1.54000000000000 rot_H_z = -0.18816967144542218
Ra = 1.5579366635978273 Za = -1.54000000000000 rot_H_z = -0.15484478647723066
Ra = 1.7578125 Za = -1.54000000000000 rot_H_z = -0.0837983635211359
Ra = 1.6436828286893939 Za = -1.54000000000000 rot_H_z = -0.11806353715487727
Ra = 1.8719421713106061 Za = -1.54000000000000 rot_H_z = -0.058547963162137284
Ra = 1.6564378867161347 Za = -1.54000000000000 rot_H_z = -0.1135976223800177
Ra = 1.8591871132838653 Za = -1.54000000000000 rot_H_z = -0.061043656795334855
Ra = 1.678194191214958 Za = -1.54000000000000 rot_H_z = -0.10641204059234122
Ra = 1.837430808785042 Za = -1.54000000000000 rot_H_z = -0.06547271079645556
Ra = 1.707023977250479 Za = -1.54000000000000 rot_H_z = -0.09761984909912846
Ra = 1.808601022749521 Za = -1.54000000000000 rot_H_z = -0.07170061672441341
Ra = 1.7403662884005902 Za = -1.54000000000000 rot_H_z = -0.08833134244808183
Ra = 1.7752587115994098 Za = -1.54000000000000 rot_H_z = -0.07946733148792307
Ra = 1.6411339262079132 Za = -1.54000000000000 rot_H_z = -0.11898050197118204
Ra = 1.8744910737920868 Za = -1.54000000000000 rot_H_z = -0.05805783359052158
Ra = 1.6488096689817529 Za = -1.54000000000000 rot_H_z = -0.11624437095591578
Ra = 1.8668153310182471 Za = -1.54000000000000 rot_H_z = -0.05954240871466848
Ra = 1.6663104226656542 Za = -1.54000000000000 rot_H_z = -0.11027300067757961
Ra = 1.8493145773343458 Za = -1.54000000000000 rot_H_z = -0.06302590462608659
Ra = 1.6918643982810229 Za = -1.54000000000000 rot_H_z = -0.10214689590007198
Ra = 1.8237606017189771 Za = -1.54000000000000 rot_H_z = -0.06837270621617464
Ra = 1.7233133364021727 Za = -1.54000000000000 rot_H_z = -0.09297347097178821
Ra = 1.7923116635978273 Za = -1.54000000000000 rot_H_z = -0.07541512387302363
Ra = 0.29296875 Za = -1.54000000000000 rot_H_z = -0.8019904955454393
Ra = 0.23590391434469699 Za = -1.54000000000000 rot_H_z = -1.0528334625975297
Ra = 0.350033585655303 Za = -1.54000000000000 rot_H_z = -0.9839469015529865
Ra = 0.2422814433580673 Za = -1.54000000000000 rot_H_z = -1.0159503652693616
Ra = 0.34365605664193266 Za = -1.54000000000000 rot_H_z = -0.9630925648942608
Ra = 0.253159595607479 Za = -1.54000000000000 rot_H_z = -0.9543160316889612
Ra = 0.332777904392521 Za = -1.54000000000000 rot_H_z = -0.9210678307289939
Ra = 0.2675744886252394 Za = -1.54000000000000 rot_H_z = -0.8788084695649587
Ra = 0.3183630113747606 Za = -1.54000000000000 rot_H_z = -0.8591811137072511
Ra = 0.284245644200295 Za = -1.54000000000000 rot_H_z = -0.8153220679015547
Ra = 0.301691855799705 Za = -1.54000000000000 rot_H_z = -0.8069671259865459
Ra = 0.23462946310395655 Za = -1.54000000000000 rot_H_z = -1.0602411492069734
Ra = 0.35130803689604345 Za = -1.54000000000000 rot_H_z = -0.9877485003923745
Ra = 0.23846733449087648 Za = -1.54000000000000 rot_H_z = -1.0379669269343452
Ra = 0.3474701655091235 Za = -1.54000000000000 rot_H_z = -0.9759292440995395
Ra = 0.24721771133282713 Za = -1.54000000000000 rot_H_z = -0.9877137034565315
Ra = 0.3387197886671729 Za = -1.54000000000000 rot_H_z = -0.944938401596616
Ra = 0.25999469914051143 Za = -1.54000000000000 rot_H_z = -0.9172037077832016
Ra = 0.32594280085948857 Za = -1.54000000000000 rot_H_z = -0.891770075719684
Ra = 0.27571916820108633 Za = -1.54000000000000 rot_H_z = -0.8430144831638771
Ra = 0.31021833179891367 Za = -1.54000000000000 rot_H_z = -0.8283659285576661
Ra = 0.41015625 Za = -1.54000000000000 rot_H_z = -1.0533585100178051
Ra = 0.353091414344697 Za = -1.54000000000000 rot_H_z = -0.9928623157013767
Ra = 0.467221085655303 Za = -1.54000000000000 rot_H_z = -1.0060166271488882
Ra = 0.35946894335806734 Za = -1.54000000000000 rot_H_z = -1.0092069497130574
Ra = 0.46084355664193266 Za = -1.54000000000000 rot_H_z = -1.0137186278430015
Ra = 0.370347095607479 Za = -1.54000000000000 rot_H_z = -1.0304344480385126
Ra = 0.449965404392521 Za = -1.54000000000000 rot_H_z = -1.0258463817042536
Ra = 0.3847619886252394 Za = -1.54000000000000 rot_H_z = -1.0472863435294464
Ra = 0.4355505113747606 Za = -1.54000000000000 rot_H_z = -1.0394270768716307
Ra = 0.401433144200295 Za = -1.54000000000000 rot_H_z = -1.0540546356722693
Ra = 0.418879355799705 Za = -1.54000000000000 rot_H_z = -1.0503404143858894
Ra = 0.35181696310395655 Za = -1.54000000000000 rot_H_z = -0.9892323088014088
Ra = 0.46849553689604345 Za = -1.54000000000000 rot_H_z = -1.0044321342972466
Ra = 0.3556548344908765 Za = -1.54000000000000 rot_H_z = -0.9997941979286828
Ra = 0.4646576655091235 Za = -1.54000000000000 rot_H_z = -1.0091592677225787
Ra = 0.3644052113328271 Za = -1.54000000000000 rot_H_z = -1.0198373534481853
Ra = 0.4559072886671729 Za = -1.54000000000000 rot_H_z = -1.0193934674482907
Ra = 0.37718219914051143 Za = -1.54000000000000 rot_H_z = -1.0398849425135275
Ra = 0.44313030085948857 Za = -1.54000000000000 rot_H_z = -1.0326867306113492
Ra = 0.39290666820108633 Za = -1.54000000000000 rot_H_z = -1.0520723070943454
Ra = 0.42740583179891367 Za = -1.54000000000000 rot_H_z = -1.045506205826495
Ra = 1.46484375 Za = -1.54000000000000 rot_H_z = -0.19286833968429562
Ra = 1.407778914344697 Za = -1.54000000000000 rot_H_z = -0.20350418772892986
Ra = 1.521908585655303 Za = -1.54000000000000 rot_H_z = -0.17440751000197707
Ra = 1.4141564433580673 Za = -1.54000000000000 rot_H_z = -0.20207158736158348
Ra = 1.5155310566419327 Za = -1.54000000000000 rot_H_z = -0.17774844566572057
Ra = 1.425034595607479 Za = -1.54000000000000 rot_H_z = -0.199779501223734
Ra = 1.504652904392521 Za = -1.54000000000000 rot_H_z = -0.18283088213758703
Ra = 1.4394494886252394 Za = -1.54000000000000 rot_H_z = -0.19704109305359196
Ra = 1.4902380113747606 Za = -1.54000000000000 rot_H_z = -0.18782022009736465
Ra = 1.456120644200295 Za = -1.54000000000000 rot_H_z = -0.19424904922009034
Ra = 1.473566855799705 Za = -1.54000000000000 rot_H_z = -0.19142445699851862
Ra = 1.4065044631039565 Za = -1.54000000000000 rot_H_z = -0.20379814225943438
Ra = 1.5231830368960435 Za = -1.54000000000000 rot_H_z = -0.17372007916190313
Ra = 1.4103423344908765 Za = -1.54000000000000 rot_H_z = -0.20292062186106286
Ra = 1.5193451655091235 Za = -1.54000000000000 rot_H_z = -0.17577272315686088
Ra = 1.419092711332827 Za = -1.54000000000000 rot_H_z = -0.20100750376757404
Ra = 1.510594788667173 Za = -1.54000000000000 rot_H_z = -0.18017300483921872
Ra = 1.4318696991405115 Za = -1.54000000000000 rot_H_z = -0.19843893663049883
Ra = 1.4978178008594885 Za = -1.54000000000000 rot_H_z = -0.1854619477677062
Ra = 1.4475941682010862 Za = -1.54000000000000 rot_H_z = -0.195635597900381
Ra = 1.4820933317989138 Za = -1.54000000000000 rot_H_z = -0.18978938917790344
Ra = 1.58203125 Za = -1.54000000000000 rot_H_z = -0.14306288547680168
Ra = 1.524966414344697 Za = -1.54000000000000 rot_H_z = -0.17275035745307576
Ra = 1.639096085655303 Za = -1.54000000000000 rot_H_z = -0.11971975137171631
Ra = 1.5313439433580673 Za = -1.54000000000000 rot_H_z = -0.1692355172317157
Ra = 1.6327185566419327 Za = -1.54000000000000 rot_H_z = -0.12206954693306882
Ra = 1.542222095607479 Za = -1.54000000000000 rot_H_z = -0.16322401730088387
Ra = 1.621840404392521 Za = -1.54000000000000 rot_H_z = -0.1262112614517079
Ra = 1.5566369886252394 Za = -1.54000000000000 rot_H_z = -0.155518205393129
Ra = 1.6074255113747606 Za = -1.54000000000000 rot_H_z = -0.1319832374270833
Ra = 1.573308144200295 Za = -1.54000000000000 rot_H_z = -0.14717555759952639
Ra = 1.590754355799705 Za = -1.54000000000000 rot_H_z = -0.1391138651545969
Ra = 1.5236919631039565 Za = -1.54000000000000 rot_H_z = -0.17344420346412903
Ra = 1.6403705368960435 Za = -1.54000000000000 rot_H_z = -0.11925678552325403
Ra = 1.5275298344908765 Za = -1.54000000000000 rot_H_z = -0.1713442062018089
Ra = 1.6365326655091235 Za = -1.54000000000000 rot_H_z = -0.1206575525169149
Ra = 1.536280211332827 Za = -1.54000000000000 rot_H_z = -0.1664985451340968
Ra = 1.627782288667173 Za = -1.54000000000000 rot_H_z = -0.12392743128244632
Ra = 1.5490571991405115 Za = -1.54000000000000 rot_H_z = -0.1595193793881151
Ra = 1.6150053008594885 Za = -1.54000000000000 rot_H_z = -0.12890579027280413
Ra = 1.5647816682010862 Za = -1.54000000000000 rot_H_z = -0.1513620729101639
Ra = 1.5992808317989138 Za = -1.54000000000000 rot_H_z = -0.13540184769342734
J_z ( 15.0000000000000 ) =  -0.15495902664807285*pi

for (Ra, Za), (circ_H, J_z) in circ_H_J_z:
    print ("Ra=", Ra, "Za=", Za, "circ_H=", circ_H, "J_z=", J_z)

Ra= 0.290000000000000 Za= -1.54000000000000 circ_H= -0.108118521466585*pi J_z= -0.10811852146666323*pi
Ra= 0.310000000000000 Za= -1.54000000000000 circ_H= -0.117821565803311*pi J_z= -0.11782156580235059*pi
Ra= 0.900000000000000 Za= -1.54000000000000 circ_H= -0.645400681610558*pi J_z= -0.6454006816107795*pi
Ra= 1.49000000000000 Za= -1.54000000000000 circ_H= -1.04545372632752*pi J_z= -1.0454537263294106*pi
Ra= 1.51000000000000 Za= -1.54000000000000 circ_H= -1.05652346264694*pi J_z= -1.0565234626489075*pi
Ra= 3.00000000000000 Za= -1.54000000000000 circ_H= -1.18241457183107*pi J_z= -1.1824145718314787*pi
Ra= 15.0000000000000 Za= -1.54000000000000 circ_H= -0.154959026647993*pi J_z= -0.15495902664807285*pi

Итак мы видим, что результат проверки теоремы циркуляции в плоскости, отстоящей на некоторое расстояние от левого торца цилиндра вполне удовлетворителен, что косвенно подтверждает гипотезу о существовании токов смещения вне материала тороидально намагниченного цилиндра

Ниже представлены графики $z$-компоненты плотности тока смещения (исходя из ротора напряженности магнитного поля) вне материала тороидально намагниченного цилиндра в зависимости от $z$ координаты для разных радиальных координат

plot_data_rot_H_z = []

Ra = (Rj1 + Rj2) / 2
for dz in (0.01, 0.02, 0.03, 0.04, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 1.0, 1.5, 2.0):
    Za = Zj1 - dz
    j_z = calc_rot_H_z(Za, Ra)
    plot_data_rot_H_z += [(Za, j_z)]

list_plot(plot_data_rot_H_z)

Ra = 0.900000000000000 Za = -1.51000000000000 rot_H_z = -0.4151014901957355
Ra = 0.900000000000000 Za = -1.52000000000000 rot_H_z = -0.4336915558412153
Ra = 0.900000000000000 Za = -1.53000000000000 rot_H_z = -0.45143206514659084
Ra = 0.900000000000000 Za = -1.54000000000000 rot_H_z = -0.4683317466204402
Ra = 0.900000000000000 Za = -1.55000000000000 rot_H_z = -0.48440015346931276
Ra = 0.900000000000000 Za = -1.60000000000000 rot_H_z = -0.5526590663393751
Ra = 0.900000000000000 Za = -1.70000000000000 rot_H_z = -0.6341208035893473
Ra = 0.900000000000000 Za = -1.80000000000000 rot_H_z = -0.654996426421047
Ra = 0.900000000000000 Za = -1.90000000000000 rot_H_z = -0.6310439202611855
Ra = 0.900000000000000 Za = -2.00000000000000 rot_H_z = -0.5764451521621456
Ra = 0.900000000000000 Za = -2.50000000000000 rot_H_z = -0.1696596724731403
Ra = 0.900000000000000 Za = -3.00000000000000 rot_H_z = 0.11176658009228102
Ra = 0.900000000000000 Za = -3.50000000000000 rot_H_z = 0.22381330878526862

plot_data_rot_H_z = []

Ra = (Rj1) / 2
for dz in (0.01, 0.02, 0.03, 0.04, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 1.0, 1.5, 2.0):
    Za = Zj1 - dz
    j_z = calc_rot_H_z(Za, Ra)
    plot_data_rot_H_z += [(Za, j_z)]

list_plot(plot_data_rot_H_z)

Ra = 0.150000000000000 Za = -1.51000000000000 rot_H_z = -3.383218146572797
Ra = 0.150000000000000 Za = -1.52000000000000 rot_H_z = -2.7703546545603333
Ra = 0.150000000000000 Za = -1.53000000000000 rot_H_z = -2.1637126203623613
Ra = 0.150000000000000 Za = -1.54000000000000 rot_H_z = -1.565977868197475
Ra = 0.150000000000000 Za = -1.55000000000000 rot_H_z = -0.9794667771357188
Ra = 0.150000000000000 Za = -1.60000000000000 rot_H_z = 1.7333074424077175
Ra = 0.150000000000000 Za = -1.70000000000000 rot_H_z = 5.965703224520091
Ra = 0.150000000000000 Za = -1.80000000000000 rot_H_z = 8.86702271527603
Ra = 0.150000000000000 Za = -1.90000000000000 rot_H_z = 10.720209028404684
Ra = 0.150000000000000 Za = -2.00000000000000 rot_H_z = 11.752998376278633
Ra = 0.150000000000000 Za = -2.50000000000000 rot_H_z = 10.916119381871766
Ra = 0.150000000000000 Za = -3.00000000000000 rot_H_z = 7.8934723971408225
Ra = 0.150000000000000 Za = -3.50000000000000 rot_H_z = 5.512706209909056

plot_data_rot_H_z = []

Ra = (Rj1) / 10
for dz in (0.01, 0.02, 0.03, 0.04, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 1.0, 1.5, 2.0):
    Za = Zj1 - dz
    j_z = calc_rot_H_z(Za, Ra)
    plot_data_rot_H_z += [(Za, j_z)]
    
list_plot(plot_data_rot_H_z)

Ra = 0.0300000000000000 Za = -1.51000000000000 rot_H_z = -16.049420478430136
Ra = 0.0300000000000000 Za = -1.52000000000000 rot_H_z = -11.23601154109833
Ra = 0.0300000000000000 Za = -1.53000000000000 rot_H_z = -6.456252792955619
Ra = 0.0300000000000000 Za = -1.54000000000000 rot_H_z = -1.7259286641697464
Ra = 0.0300000000000000 Za = -1.55000000000000 rot_H_z = 2.9398614936641536
Ra = 0.0300000000000000 Za = -1.60000000000000 rot_H_z = 24.841975763668113
Ra = 0.0300000000000000 Za = -1.70000000000000 rot_H_z = 58.40797994357918
Ra = 0.0300000000000000 Za = -1.80000000000000 rot_H_z = 77.67386341829125
Ra = 0.0300000000000000 Za = -1.90000000000000 rot_H_z = 86.36745900883872
Ra = 0.0300000000000000 Za = -2.00000000000000 rot_H_z = 88.52652386877224
Ra = 0.0300000000000000 Za = -2.50000000000000 rot_H_z = 68.26508300369596
Ra = 0.0300000000000000 Za = -3.00000000000000 rot_H_z = 45.562959272480015
Ra = 0.0300000000000000 Za = -3.50000000000000 rot_H_z = 30.459340256531597

plot_data_rot_H_z = []

Ra = (Rj1) / 100
for dz in (0.01, 0.02, 0.03, 0.04, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 1.0, 1.5, 2.0):
    Za = Zj1 - dz
    j_z = calc_rot_H_z(Za, Ra)
    plot_data_rot_H_z += [(Za, j_z)]
    
list_plot(plot_data_rot_H_z)

Ra = 0.00300000000000000 Za = -1.51000000000000 rot_H_z = -154.53426705579332
Ra = 0.00300000000000000 Za = -1.52000000000000 rot_H_z = -98.76800967310403
Ra = 0.00300000000000000 Za = -1.53000000000000 rot_H_z = -43.45020193885336
Ra = 0.00300000000000000 Za = -1.54000000000000 rot_H_z = 11.208471901918344
Ra = 0.00300000000000000 Za = -1.55000000000000 rot_H_z = 65.00763743675495
Ra = 0.00300000000000000 Za = -1.60000000000000 rot_H_z = 315.13763505355587
Ra = 0.00300000000000000 Za = -1.70000000000000 rot_H_z = 683.8669519851097
Ra = 0.00300000000000000 Za = -1.80000000000000 rot_H_z = 878.9605763194085
Ra = 0.00300000000000000 Za = -1.90000000000000 rot_H_z = 955.1668488254779
Ra = 0.00300000000000000 Za = -2.00000000000000 rot_H_z = 963.0470036127904
Ra = 0.00300000000000000 Za = -2.50000000000000 rot_H_z = 713.4146307173538
Ra = 0.00300000000000000 Za = -3.00000000000000 rot_H_z = 468.51559918705453
Ra = 0.00300000000000000 Za = -3.50000000000000 rot_H_z = 310.49832113299453

plot_data_rot_H_z = []

Ra = (Rj2) * 2
for dz in (0.01, 0.02, 0.03, 0.04, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 1.0, 1.5, 2.0):
    Za = Zj1 - dz
    j_z = calc_rot_H_z(Za, Ra)
    plot_data_rot_H_z += [(Za, j_z)]

list_plot(plot_data_rot_H_z)

Ra = 3.00000000000000 Za = -1.51000000000000 rot_H_z = 0.02738344536164429
Ra = 3.00000000000000 Za = -1.52000000000000 rot_H_z = 0.026086804877613542
Ra = 3.00000000000000 Za = -1.53000000000000 rot_H_z = 0.024791735534310598
Ra = 3.00000000000000 Za = -1.54000000000000 rot_H_z = 0.02349846128535922
Ra = 3.00000000000000 Za = -1.55000000000000 rot_H_z = 0.02220720544868245
Ra = 3.00000000000000 Za = -1.60000000000000 rot_H_z = 0.015788959707442513
Ra = 3.00000000000000 Za = -1.70000000000000 rot_H_z = 0.0032291792039607706
Ra = 3.00000000000000 Za = -1.80000000000000 rot_H_z = -0.008791140209263415
Ra = 3.00000000000000 Za = -1.90000000000000 rot_H_z = -0.020089001828130906
Ra = 3.00000000000000 Za = -2.00000000000000 rot_H_z = -0.030512638863027047
Ra = 3.00000000000000 Za = -2.50000000000000 rot_H_z = -0.06672708060313437
Ra = 3.00000000000000 Za = -3.00000000000000 rot_H_z = -0.07737557017263377
Ra = 3.00000000000000 Za = -3.50000000000000 rot_H_z = -0.07127200636434289

Ниже представлена процедура вычисления $r$-компоненты плотности тока смещения исходя из ротора напряженности магнитного поля

At2_diff_za_diff_za = lambda I0, rj, ra, zj1, zj2, za : At2_diff_za (I0, rj, ra, zj1, zj2, za).diff(za)

As2_diff_ra_diff_za = lambda I0, rj1, rj2, ra, zj, za : As2_diff_ra (I0, rj1, rj2, ra, zj, za).diff(za)

exec(preparse("At_diff_za_diff_za_subs_zj = lambda rj, ra, za : " + str(At2_diff_za_diff_za (1, rj, ra, Zj1, Zj2, za))))

exec(preparse("As_diff_ra_diff_za_subs_rj = lambda ra, zj, za : " + str(As2_diff_ra_diff_za (1, Rj1, Rj2, ra, zj, za))))

exec(preparse("Av_diff_ra_diff_za = lambda I0, rj, ra, zj, za : " + str(Av_diff_ra(I0, rj, ra, zj, za).diff(za))))

AV_diff_ra_diff_za = lambda I0, rj1, rj2, ra, zj, za : num_int(lambda rj : Av_diff_ra_diff_za(I0, rj, ra, zj, za), rj1, rj2)

Av_diff_ra_diff_za_subs_rj = lambda ra, zj, za : AV_diff_ra_diff_za (1, Rj1, Rj2, ra, zj, za)

def calc_rot_H_r(Za, Ra):
    At_diff_za_subs_zj_diff_za_subs_za_ra = lambda rj : At_diff_za_diff_za_subs_zj(rj, Ra, Za)
    As_diff_ra_subs_rj_diff_za_subs_za_ra = lambda zj : As_diff_ra_diff_za_subs_rj(Ra, zj, Za)

    At_diff_za_diff_za_num_int = At_diff_za_subs_zj_diff_za_subs_za_ra(rj).nintegral(rj, Rj1, Rj2)
    As_diff_ra_diff_za_num_int = As_diff_ra_subs_rj_diff_za_subs_za_ra(zj).nintegral(zj, Zj1, Zj2)
    Av_diff_ra_diff_za_num_int = num_int( lambda zj : Av_diff_ra_diff_za_subs_rj(Ra, zj, Za), Zj1, Zj2)
    As_v_diff_ra_diff_za_num_int = As_diff_ra_diff_za_num_int[0] + Av_diff_ra_diff_za_num_int

    rot_H_r = - At_diff_za_diff_za_num_int[0] + As_v_diff_ra_diff_za_num_int

    print ("Ra =", Ra, "Za =", Za, "rot_H_r =", rot_H_r)

    return rot_H_r

График $r$-компоненты плотности тока смещения (исходя из ротора напряженности магнитного поля) вне материала тороидально намагниченного цилиндра в зависимости от $z$ координаты для радиальной координаты центра тела тороида

plot_data_rot_H_r = []

Ra = (Rj1 + Rj2) / 2
for dz in (0.01, 0.02, 0.03, 0.04, 0.05, 0.1, 0.2, 0.3, 0.4, 0.5, 1.0, 1.5, 2.0):
    Za = Zj1 - dz
    j_r = calc_rot_H_r(Za, Ra)
    plot_data_rot_H_r += [(Za, j_r)]

list_plot(plot_data_rot_H_r).show()

Ra = 0.900000000000000 Za = -1.51000000000000 rot_H_r = 3.792004635515948
Ra = 0.900000000000000 Za = -1.52000000000000 rot_H_r = 3.7142241628163113
Ra = 0.900000000000000 Za = -1.53000000000000 rot_H_r = 3.6371699092424397
Ra = 0.900000000000000 Za = -1.54000000000000 rot_H_r = 3.5608671380679793
Ra = 0.900000000000000 Za = -1.55000000000000 rot_H_r = 3.485339658077046
Ra = 0.900000000000000 Za = -1.60000000000000 rot_H_r = 3.1200605705772926
Ra = 0.900000000000000 Za = -1.70000000000000 rot_H_r = 2.457107341129122
Ra = 0.900000000000000 Za = -1.80000000000000 rot_H_r = 1.8892243575893701
Ra = 0.900000000000000 Za = -1.90000000000000 rot_H_r = 1.4136650557245103
Ra = 0.900000000000000 Za = -2.00000000000000 rot_H_r = 1.0221248799285627
Ra = 0.900000000000000 Za = -2.50000000000000 rot_H_r = -0.029133701913133248
Ra = 0.900000000000000 Za = -3.00000000000000 rot_H_r = -0.28671679115847326
Ra = 0.900000000000000 Za = -3.50000000000000 rot_H_r = -0.2895888430304817

Теперь представляет интерес двумерная визуализация скалярного и векторного магнитного полей а также тока смещения (ротора $H$)

import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline

za_linspace = np.linspace(-3, +3, 40)
ra_linspace = np.linspace(0.1, 3,   10)

za_list = za_linspace.tolist()
ra_list = ra_linspace.tolist()

za_grid,ra_grid = np.meshgrid(za_linspace, ra_linspace)

u = za_grid * np.nan
v = ra_grid * np.nan
s = ra_grid * np.nan
s_t = ra_grid * np.nan
s_s = ra_grid * np.nan
h = ra_grid * np.nan
h_t = ra_grid * np.nan
h_s = ra_grid * np.nan

for iz in np.arange(0, len(za_linspace), 1):
    for ir in np.arange(0, len(ra_linspace), 1):
        Za = za_list[iz]
        Ra = ra_list[ir]
        u[ir][iz] = calc_rot_H_z(Za, Ra)
        v[ir][iz] = calc_rot_H_r(Za, Ra)
        
        h_scalar = calc_H_scalar(Za, Ra)
        s  [ir][iz] = h_scalar[0]
        s_t[ir][iz] = h_scalar[1]
        s_s[ir][iz] = h_scalar[2]
        
        h_phi = calc_H_phi(At_diff_za_subs_zj, As_diff_ra_subs_rj, Za, Ra)
        h  [ir][iz] = h_phi[0]
        h_t[ir][iz] = h_phi[1]
        h_s[ir][iz] = h_phi[2]

Ra = 0.1 Za = -3.0 rot_H_z = 12.620476477634611
Ra = 0.1 Za = -3.0 rot_H_r = -1.0780942994611025
Ra = 0.1 Za = -3.0 H_scalar_t = -22.41584731012706
Ra = 0.1 Za = -3.0 H_scalar_s = 1.0030219116011958
Ra = 0.1 Za = -3.0 H_scalar   = -21.412825398525865
Ra = 0.1 Za = -3.0 H_phi_t = 1.4070140847156
Ra = 0.1 Za = -3.0 H_phi_s = -0.07000214066967266
Ra = 0.1 Za = -3.0 H_phi   = 1.3370119440459274
Ra = 0.42222222222222217 Za = -3.0 rot_H_z = 1.766040981812357
Ra = 0.42222222222222217 Za = -3.0 rot_H_r = -0.708395293095295
Ra = 0.42222222222222217 Za = -3.0 H_scalar_t = -4.955581910077284
Ra = 0.42222222222222217 Za = -3.0 H_scalar_s = 0.9086356981487658
Ra = 0.42222222222222217 Za = -3.0 H_scalar   = -4.0469462119285184
Ra = 0.42222222222222217 Za = -3.0 H_phi_t = 1.359968224119479
Ra = 0.42222222222222217 Za = -3.0 H_phi_s = -0.2764087979139108
Ra = 0.42222222222222217 Za = -3.0 H_phi   = 1.0835594262055683
Ra = 0.7444444444444444 Za = -3.0 rot_H_z = 0.377934571726084
Ra = 0.7444444444444444 Za = -3.0 rot_H_r = -0.4035660538392909
Ra = 0.7444444444444444 Za = -3.0 H_scalar_t = -2.382502931005904
Ra = 0.7444444444444444 Za = -3.0 H_scalar_s = 0.7245714768534863
Ra = 0.7444444444444444 Za = -3.0 H_scalar   = -1.6579314541524177
Ra = 0.7444444444444444 Za = -3.0 H_phi_t = 1.252475062901707
Ra = 0.7444444444444444 Za = -3.0 H_phi_s = -0.4194064161376686
Ra = 0.7444444444444444 Za = -3.0 H_phi   = 0.8330686467640384
Ra = 1.0666666666666667 Za = -3.0 rot_H_z = -0.0534376129746057
Ra = 1.0666666666666667 Za = -3.0 rot_H_r = -0.1831248968878464
Ra = 1.0666666666666667 Za = -3.0 H_scalar_t = -1.246432771610334
Ra = 1.0666666666666667 Za = -3.0 H_scalar_s = 0.5012359138190943
Ra = 1.0666666666666667 Za = -3.0 H_scalar   = -0.7451968577912398
Ra = 1.0666666666666667 Za = -3.0 H_phi_t = 1.087494757625962
Ra = 1.0666666666666667 Za = -3.0 H_phi_s = -0.47570423981397353
Ra = 1.0666666666666667 Za = -3.0 H_phi   = 0.6117905178119885
Ra = 1.3888888888888888 Za = -3.0 rot_H_z = -0.18695580384684607
Ra = 1.3888888888888888 Za = -3.0 rot_H_r = -0.03939131093903381
Ra = 1.3888888888888888 Za = -3.0 H_scalar_t = -0.6024564469251357
Ra = 1.3888888888888888 Za = -3.0 H_scalar_s = 0.2917821901474311
Ra = 1.3888888888888888 Za = -3.0 H_scalar   = -0.31067425677770455
Ra = 1.3888888888888888 Za = -3.0 H_phi_t = 0.8825655933000564
Ra = 1.3888888888888888 Za = -3.0 H_phi_s = -0.45191460603407807
Ra = 1.3888888888888888 Za = -3.0 H_phi   = 0.4306509872659783
Ra = 1.711111111111111 Za = -3.0 rot_H_z = -0.20445933895390456
Ra = 1.711111111111111 Za = -3.0 rot_H_r = 0.04427006541566936
Ra = 1.711111111111111 Za = -3.0 H_scalar_t = -0.2232837760219449
Ra = 1.711111111111111 Za = -3.0 H_scalar_s = 0.13201973605624984
Ra = 1.711111111111111 Za = -3.0 H_scalar   = -0.09126403996569507
Ra = 1.711111111111111 Za = -3.0 H_phi_t = 0.6682497182904966
Ra = 1.711111111111111 Za = -3.0 H_phi_s = -0.3775846509587486
Ra = 1.711111111111111 Za = -3.0 H_phi   = 0.290665067331748
Ra = 2.033333333333333 Za = -3.0 rot_H_z = -0.1784728626424491
Ra = 2.033333333333333 Za = -3.0 rot_H_r = 0.08543060657826176
Ra = 2.033333333333333 Za = -3.0 H_scalar_t = -0.01245938918154819
Ra = 2.033333333333333 Za = -3.0 H_scalar_s = 0.030890752749154426
Ra = 2.033333333333333 Za = -3.0 H_scalar   = 0.01843136356760624
Ra = 2.033333333333333 Za = -3.0 H_phi_t = 0.4749727778408596
Ra = 2.033333333333333 Za = -3.0 H_phi_s = -0.2876228803794003
Ra = 2.033333333333333 Za = -3.0 H_phi   = 0.1873498974614593
Ra = 2.3555555555555556 Za = -3.0 rot_H_z = -0.1412387996196613
Ra = 2.3555555555555556 Za = -3.0 rot_H_r = 0.0996150139463331
Ra = 2.3555555555555556 Za = -3.0 H_scalar_t = 0.09263289950019483
Ra = 2.3555555555555556 Za = -3.0 H_scalar_s = -0.02275197238565596
Ra = 2.3555555555555556 Za = -3.0 H_scalar   = 0.06988092711453887
Ra = 2.3555555555555556 Za = -3.0 H_phi_t = 0.3198873085302579
Ra = 2.3555555555555556 Za = -3.0 H_phi_s = -0.20606965240496233
Ra = 2.3555555555555556 Za = -3.0 H_phi   = 0.11381765612529554
Ra = 2.6777777777777776 Za = -3.0 rot_H_z = -0.1061242594574005
Ra = 2.6777777777777776 Za = -3.0 rot_H_r = 0.09870511824011177
Ra = 2.6777777777777776 Za = -3.0 H_scalar_t = 0.1363272897300732
Ra = 2.6777777777777776 Za = -3.0 H_scalar_s = -0.04592620098206357
Ra = 2.6777777777777776 Za = -3.0 H_scalar   = 0.09040108874800962
Ra = 2.6777777777777776 Za = -3.0 H_phi_t = 0.2051354007187332
Ra = 2.6777777777777776 Za = -3.0 H_phi_s = -0.14222107135472406
Ra = 2.6777777777777776 Za = -3.0 H_phi   = 0.06291432936400915
Ra = 3.0 Za = -3.0 rot_H_z = -0.07737557017263377
Ra = 3.0 Za = -3.0 rot_H_r = 0.09054542959770351
Ra = 3.0 Za = -3.0 H_scalar_t = 0.1472615456317825
Ra = 3.0 Za = -3.0 H_scalar_s = -0.052415286029803054
Ra = 3.0 Za = -3.0 H_scalar   = 0.09484625960197945
Ra = 3.0 Za = -3.0 H_phi_t = 0.1244170720831013
Ra = 3.0 Za = -3.0 H_phi_s = -0.09597714842464367
Ra = 3.0 Za = -3.0 H_phi   = 0.028439923658457628
Ra = 0.1 Za = -2.8461538461538463 rot_H_z = 14.173320472110287
Ra = 0.1 Za = -2.8461538461538463 rot_H_r = -1.2146871769246705
Ra = 0.1 Za = -2.8461538461538463 H_scalar_t = -24.71994427741967
Ra = 0.1 Za = -2.8461538461538463 H_scalar_s = 1.2480114603459922
Ra = 0.1 Za = -2.8461538461538463 H_scalar   = -23.47193281707368
Ra = 0.1 Za = -2.8461538461538463 H_phi_t = 1.604321108501305
Ra = 0.1 Za = -2.8461538461538463 H_phi_s = -0.09093118421247764
Ra = 0.1 Za = -2.8461538461538463 H_phi   = 1.5133899242888273
Ra = 0.42222222222222217 Za = -2.8461538461538463 rot_H_z = 1.848900863125823
Ra = 0.42222222222222217 Za = -2.8461538461538463 rot_H_r = -0.7440437242350424
Ra = 0.42222222222222217 Za = -2.8461538461538463 H_scalar_t = -5.446633023364058
Ra = 0.42222222222222217 Za = -2.8461538461538463 H_scalar_s = 1.1213027852173498
Ra = 0.42222222222222217 Za = -2.8461538461538463 H_scalar   = -4.325330238146708
Ra = 0.42222222222222217 Za = -2.8461538461538463 H_phi_t = 1.553084741616176
Ra = 0.42222222222222217 Za = -2.8461538461538463 H_phi_s = -0.3574918205014511
Ra = 0.42222222222222217 Za = -2.8461538461538463 H_phi   = 1.195592921114725
Ra = 0.7444444444444444 Za = -2.8461538461538463 rot_H_z = 0.32494245103062536
Ra = 0.7444444444444444 Za = -2.8461538461538463 rot_H_r = -0.3821100136814871
Ra = 0.7444444444444444 Za = -2.8461538461538463 H_scalar_t = -2.588167928857519
Ra = 0.7444444444444444 Za = -2.8461538461538463 H_scalar_s = 0.8758788700947719
Ra = 0.7444444444444444 Za = -2.8461538461538463 H_scalar   = -1.7122890587627468
Ra = 0.7444444444444444 Za = -2.8461538461538463 H_phi_t = 1.430741294932012
Ra = 0.7444444444444444 Za = -2.8461538461538463 H_phi_s = -0.536876656168633
Ra = 0.7444444444444444 Za = -2.8461538461538463 H_phi   = 0.893864638763379
Ra = 1.0666666666666667 Za = -2.8461538461538463 rot_H_z = -0.11908185251660935
Ra = 1.0666666666666667 Za = -2.8461538461538463 rot_H_r = -0.13748635467600234
Ra = 1.0666666666666667 Za = -2.8461538461538463 H_scalar_t = -1.314301293031606
Ra = 1.0666666666666667 Za = -2.8461538461538463 H_scalar_s = 0.5822130213065599
Ra = 1.0666666666666667 Za = -2.8461538461538463 H_scalar   = -0.7320882717250461
Ra = 1.0666666666666667 Za = -2.8461538461538463 H_phi_t = 1.234917150355636
Ra = 1.0666666666666667 Za = -2.8461538461538463 H_phi_s = -0.598164226973183
Ra = 1.0666666666666667 Za = -2.8461538461538463 H_phi   = 0.6367529233824529
Ra = 1.3888888888888888 Za = -2.8461538461538463 rot_H_z = -0.23814990054881885
Ra = 1.3888888888888888 Za = -2.8461538461538463 rot_H_r = 0.011380671443480206
Ra = 1.3888888888888888 Za = -2.8461538461538463 H_scalar_t = -0.5921406640401474
Ra = 1.3888888888888888 Za = -2.8461538461538463 H_scalar_s = 0.31409978486495693
Ra = 1.3888888888888888 Za = -2.8461538461538463 H_scalar   = -0.2780408791751905
Ra = 1.3888888888888888 Za = -2.8461538461538463 H_phi_t = 0.9857905978970716
Ra = 1.3888888888888888 Za = -2.8461538461538463 H_phi_s = -0.5527676059223574
Ra = 1.3888888888888888 Za = -2.8461538461538463 H_phi   = 0.43302299197471417
Ra = 1.711111111111111 Za = -2.8461538461538463 rot_H_z = -0.23735819843134087
Ra = 1.711111111111111 Za = -2.8461538461538463 rot_H_r = 0.09054169228712872
Ra = 1.711111111111111 Za = -2.8461538461538463 H_scalar_t = -0.1767664840646266
Ra = 1.711111111111111 Za = -2.8461538461538463 H_scalar_s = 0.11947931056992656
Ra = 1.711111111111111 Za = -2.8461538461538463 H_scalar   = -0.057287173494700055
Ra = 1.711111111111111 Za = -2.8461538461538463 H_phi_t = 0.7252533851746725
Ra = 1.711111111111111 Za = -2.8461538461538463 H_phi_s = -0.4448144856925452
Ra = 1.711111111111111 Za = -2.8461538461538463 H_phi   = 0.2804388994821273
Ra = 2.033333333333333 Za = -2.8461538461538463 rot_H_z = -0.19635755702432212
Ra = 2.033333333333333 Za = -2.8461538461538463 rot_H_r = 0.12314448881656657
Ra = 2.033333333333333 Za = -2.8461538461538463 H_scalar_t = 0.04140056443499386
Ra = 2.033333333333333 Za = -2.8461538461538463 H_scalar_s = 0.005884115529236622
Ra = 2.033333333333333 Za = -2.8461538461538463 H_scalar   = 0.04728467996423048
Ra = 2.033333333333333 Za = -2.8461538461538463 H_phi_t = 0.4957610180110859
Ra = 2.033333333333333 Za = -2.8461538461538463 H_phi_s = -0.32436861045930654
Ra = 2.033333333333333 Za = -2.8461538461538463 H_phi   = 0.17139240755177937
Ra = 2.3555555555555556 Za = -2.8461538461538463 rot_H_z = -0.14906706188809993
Ra = 2.3555555555555556 Za = -2.8461538461538463 rot_H_r = 0.12818065514640814
Ra = 2.3555555555555556 Za = -2.8461538461538463 H_scalar_t = 0.139551690420919
Ra = 2.3555555555555556 Za = -2.8461538461538463 H_scalar_s = -0.04731022378928951
Ra = 2.3555555555555556 Za = -2.8461538461538463 H_scalar   = 0.09224146663162949
Ra = 2.3555555555555556 Za = -2.8461538461538463 H_phi_t = 0.3186853302413507
Ra = 2.3555555555555556 Za = -2.8461538461538463 H_phi_s = -0.2223435296461811
Ra = 2.3555555555555556 Za = -2.8461538461538463 H_phi   = 0.09634180059516961
Ra = 2.6777777777777776 Za = -2.8461538461538463 rot_H_z = -0.10812249048088163
Ra = 2.6777777777777776 Za = -2.8461538461538463 rot_H_r = 0.1193736788232362
Ra = 2.6777777777777776 Za = -2.8461538461538463 H_scalar_t = 0.1724349212954747
Ra = 2.6777777777777776 Za = -2.8461538461538463 H_scalar_s = -0.06552563619211282
Ra = 2.6777777777777776 Za = -2.8461538461538463 H_scalar   = 0.10690928510336187
Ra = 2.6777777777777776 Za = -2.8461538461538463 H_phi_t = 0.1933579547233762
Ra = 2.6777777777777776 Za = -2.8461538461538463 H_phi_s = -0.1471965008260051
Ra = 2.6777777777777776 Za = -2.8461538461538463 H_phi   = 0.046161453897371085
Ra = 3.0 Za = -2.8461538461538463 rot_H_z = -0.07637669954437637
Ra = 3.0 Za = -2.8461538461538463 rot_H_r = 0.10511764676962335
Ra = 3.0 Za = -2.8461538461538463 H_scalar_t = 0.1734401210215182
Ra = 3.0 Za = -2.8461538461538463 H_scalar_s = -0.06674442808056558
Ra = 3.0 Za = -2.8461538461538463 H_scalar   = 0.10669569294095263
Ra = 3.0 Za = -2.8461538461538463 H_phi_t = 0.1089410615907583
Ra = 3.0 Za = -2.8461538461538463 H_phi_s = -0.09554323060162773
Ra = 3.0 Za = -2.8461538461538463 H_phi   = 0.013397830989130569
Ra = 0.1 Za = -2.6923076923076925 rot_H_z = 15.863778416830577
Ra = 0.1 Za = -2.6923076923076925 rot_H_r = -1.3412666644156144
Ra = 0.1 Za = -2.6923076923076925 H_scalar_t = -27.34865165757326
Ra = 0.1 Za = -2.6923076923076925 H_scalar_s = 1.5676854235958912
Ra = 0.1 Za = -2.6923076923076925 H_scalar   = -25.78096623397737
Ra = 0.1 Za = -2.6923076923076925 H_phi_t = 1.829472889959383
Ra = 0.1 Za = -2.6923076923076925 H_phi_s = -0.11919978616250657
Ra = 0.1 Za = -2.6923076923076925 H_phi   = 1.7102731037968766
Ra = 0.42222222222222217 Za = -2.6923076923076925 rot_H_z = 1.8991946735454683
Ra = 0.42222222222222217 Za = -2.6923076923076925 rot_H_r = -0.7452270590685701
Ra = 0.42222222222222217 Za = -2.6923076923076925 H_scalar_t = -6.010424413820271
Ra = 0.42222222222222217 Za = -2.6923076923076925 H_scalar_s = 1.3962453041160787
Ra = 0.42222222222222217 Za = -2.6923076923076925 H_scalar   = -4.614179109704192
Ra = 0.42222222222222217 Za = -2.6923076923076925 H_phi_t = 1.777314735107033
Ra = 0.42222222222222217 Za = -2.6923076923076925 H_phi_s = -0.4665667592190761
Ra = 0.42222222222222217 Za = -2.6923076923076925 H_phi   = 1.310747975887957
Ra = 0.7444444444444444 Za = -2.6923076923076925 rot_H_z = 0.2469008243037214
Ra = 0.7444444444444444 Za = -2.6923076923076925 rot_H_r = -0.325159285447967
Ra = 0.7444444444444444 Za = -2.6923076923076925 H_scalar_t = -2.823018760150861
Ra = 0.7444444444444444 Za = -2.6923076923076925 H_scalar_s = 1.0663902819392965
Ra = 0.7444444444444444 Za = -2.6923076923076925 H_scalar   = -1.7566284782115646
Ra = 0.7444444444444444 Za = -2.6923076923076925 H_phi_t = 1.642185356026023
Ra = 0.7444444444444444 Za = -2.6923076923076925 H_phi_s = -0.6933547223219685
Ra = 0.7444444444444444 Za = -2.6923076923076925 H_phi   = 0.9488306337040544
Ra = 1.0666666666666667 Za = -2.6923076923076925 rot_H_z = -0.19732735608344337
Ra = 1.0666666666666667 Za = -2.6923076923076925 rot_H_r = -0.064196694293009
Ra = 1.0666666666666667 Za = -2.6923076923076925 H_scalar_t = -1.384859421884316
Ra = 1.0666666666666667 Za = -2.6923076923076925 H_scalar_s = 0.676951912059838
Ra = 1.0666666666666667 Za = -2.6923076923076925 H_scalar   = -0.707907509824478
Ra = 1.0666666666666667 Za = -2.6923076923076925 H_phi_t = 1.410869792888372
Ra = 1.0666666666666667 Za = -2.6923076923076925 H_phi_s = -0.7581900110141169
Ra = 1.0666666666666667 Za = -2.6923076923076925 H_phi   = 0.6526797818742551
Ra = 1.3888888888888888 Za = -2.6923076923076925 rot_H_z = -0.29382794735673123
Ra = 1.3888888888888888 Za = -2.6923076923076925 rot_H_r = 0.08119761039418416
Ra = 1.3888888888888888 Za = -2.6923076923076925 H_scalar_t = -0.5682824635660323
Ra = 1.3888888888888888 Za = -2.6923076923076925 H_scalar_s = 0.3311169894530277
Ra = 1.3888888888888888 Za = -2.6923076923076925 H_scalar   = -0.2371654741130046
Ra = 1.3888888888888888 Za = -2.6923076923076925 H_phi_t = 1.105623510024729
Ra = 1.3888888888888888 Za = -2.6923076923076925 H_phi_s = -0.6794500465951276
Ra = 1.3888888888888888 Za = -2.6923076923076925 H_phi   = 0.4261734634296013
Ra = 1.711111111111111 Za = -2.6923076923076925 rot_H_z = -0.27012352821500246
Ra = 1.711111111111111 Za = -2.6923076923076925 rot_H_r = 0.14891436732683488
Ra = 1.711111111111111 Za = -2.6923076923076925 H_scalar_t = -0.1125028142223253
Ra = 1.711111111111111 Za = -2.6923076923076925 H_scalar_s = 0.09426644901150105
Ra = 1.711111111111111 Za = -2.6923076923076925 H_scalar   = -0.01823636521082425
Ra = 1.711111111111111 Za = -2.6923076923076925 H_phi_t = 0.7854034536883642
Ra = 1.711111111111111 Za = -2.6923076923076925 H_phi_s = -0.523218116412449
Ra = 1.711111111111111 Za = -2.6923076923076925 H_phi   = 0.2621853372759152
Ra = 2.033333333333333 Za = -2.6923076923076925 rot_H_z = -0.2119450813944801
Ra = 2.033333333333333 Za = -2.6923076923076925 rot_H_r = 0.16783409057448306
Ra = 2.033333333333333 Za = -2.6923076923076925 H_scalar_t = 0.1088772779201341
Ra = 2.033333333333333 Za = -2.6923076923076925 H_scalar_s = -0.03014529835655466
Ra = 2.033333333333333 Za = -2.6923076923076925 H_scalar   = 0.07873197956357944
Ra = 2.033333333333333 Za = -2.6923076923076925 H_phi_t = 0.5114378085842527
Ra = 2.033333333333333 Za = -2.6923076923076925 H_phi_s = -0.3623367799879216
Ra = 2.033333333333333 Za = -2.6923076923076925 H_phi   = 0.14910102859633112
Ra = 2.3555555555555556 Za = -2.6923076923076925 rot_H_z = -0.15410813138505597
Ra = 2.3555555555555556 Za = -2.6923076923076925 rot_H_r = 0.16030991143952283
Ra = 2.3555555555555556 Za = -2.6923076923076925 H_scalar_t = 0.1942670430545168
Ra = 2.3555555555555556 Za = -2.6923076923076925 H_scalar_s = -0.07866196474421394
Ra = 2.3555555555555556 Za = -2.6923076923076925 H_scalar   = 0.11560507831030287
Ra = 2.3555555555555556 Za = -2.6923076923076925 H_phi_t = 0.310123684541445
Ra = 2.3555555555555556 Za = -2.6923076923076925 H_phi_s = -0.2359294879651459
Ra = 2.3555555555555556 Za = -2.6923076923076925 H_phi   = 0.07419419657629911
Ra = 2.6777777777777776 Za = -2.6923076923076925 rot_H_z = -0.10766557939425819
Ra = 2.6777777777777776 Za = -2.6923076923076925 rot_H_r = 0.14161241646219064
Ra = 2.6777777777777776 Za = -2.6923076923076925 H_scalar_t = 0.2121578783809549
Ra = 2.6777777777777776 Za = -2.6923076923076925 H_scalar_s = -0.08861417503677749
Ra = 2.6777777777777776 Za = -2.6923076923076925 H_scalar   = 0.12354370334417741
Ra = 2.6777777777777776 Za = -2.6923076923076925 H_phi_t = 0.1750566657755947
Ra = 2.6777777777777776 Za = -2.6923076923076925 H_phi_s = -0.1489535660476342
Ra = 2.6777777777777776 Za = -2.6923076923076925 H_phi   = 0.026103099727960488
Ra = 3.0 Za = -2.6923076923076925 rot_H_z = -0.0734773659557109
Ra = 3.0 Za = -2.6923076923076925 rot_H_r = 0.12021795383659001
Ra = 3.0 Za = -2.6923076923076925 H_scalar_t = 0.2009046464177598
Ra = 3.0 Za = -2.6923076923076925 H_scalar_s = -0.0826553515552586
Ra = 3.0 Za = -2.6923076923076925 H_scalar   = 0.11824929486250119
Ra = 3.0 Za = -2.6923076923076925 H_phi_t = 0.08854786243477285
Ra = 3.0 Za = -2.6923076923076925 H_phi_s = -0.09247910801256176
Ra = 3.0 Za = -2.6923076923076925 H_phi   = -0.003931245577788914
Ra = 0.1 Za = -2.5384615384615383 rot_H_z = 17.634086901529756
Ra = 0.1 Za = -2.5384615384615383 rot_H_r = -1.4280321139594663
Ra = 0.1 Za = -2.5384615384615383 H_scalar_t = -30.34592711628059
Ra = 0.1 Za = -2.5384615384615383 H_scalar_s = 1.9886205327914754
Ra = 0.1 Za = -2.5384615384615383 H_scalar   = -28.357306583489112
Ra = 0.1 Za = -2.5384615384615383 H_phi_t = 2.08176824657634
Ra = 0.1 Za = -2.5384615384615383 H_phi_s = -0.15767462631349072
Ra = 0.1 Za = -2.5384615384615383 H_phi   = 1.9240936202628494
Ra = 0.42222222222222217 Za = -2.5384615384615383 rot_H_z = 1.896334974757456
Ra = 0.42222222222222217 Za = -2.5384615384615383 rot_H_r = -0.6826335004991797
Ra = 0.42222222222222217 Za = -2.5384615384615383 H_scalar_t = -6.661877796647523
Ra = 0.42222222222222217 Za = -2.5384615384615383 H_scalar_s = 1.754893670824319
Ra = 0.42222222222222217 Za = -2.5384615384615383 H_scalar   = -4.906984125823204
Ra = 0.42222222222222217 Za = -2.5384615384615383 H_phi_t = 2.036087600469282
Ra = 0.42222222222222217 Za = -2.5384615384615383 H_phi_s = -0.6144338607575459
Ra = 0.42222222222222217 Za = -2.5384615384615383 H_phi   = 1.4216537397117361
Ra = 0.7444444444444444 Za = -2.5384615384615383 rot_H_z = 0.13946618901682895
Ra = 0.7444444444444444 Za = -2.5384615384615383 rot_H_r = -0.2137662549584427
Ra = 0.7444444444444444 Za = -2.5384615384615383 H_scalar_t = -3.094960955547305
Ra = 0.7444444444444444 Za = -2.5384615384615383 H_scalar_s = 1.3082129495242825
Ra = 0.7444444444444444 Za = -2.5384615384615383 H_scalar   = -1.7867480060230228
Ra = 0.7444444444444444 Za = -2.5384615384615383 H_phi_t = 1.894583014541203
Ra = 0.7444444444444444 Za = -2.5384615384615383 H_phi_s = -0.9034480637799889
Ra = 0.7444444444444444 Za = -2.5384615384615383 H_phi   = 0.9911349507612142
Ra = 1.0666666666666667 Za = -2.5384615384615383 rot_H_z = -0.2869491600217203
Ra = 1.0666666666666667 Za = -2.5384615384615383 rot_H_r = 0.04669777383257201
Ra = 1.0666666666666667 Za = -2.5384615384615383 H_scalar_t = -1.458183738452968
Ra = 1.0666666666666667 Za = -2.5384615384615383 H_scalar_s = 0.7873993824746077
Ra = 1.0666666666666667 Za = -2.5384615384615383 H_scalar   = -0.6707843559783602
Ra = 1.0666666666666667 Za = -2.5384615384615383 H_phi_t = 1.623773827482524
Ra = 1.0666666666666667 Za = -2.5384615384615383 H_phi_s = -0.9691922985132734
Ra = 1.0666666666666667 Za = -2.5384615384615383 H_phi   = 0.6545815289692506
Ra = 1.3888888888888888 Za = -2.5384615384615383 rot_H_z = -0.35169223246454434
Ra = 1.3888888888888888 Za = -2.5384615384615383 rot_H_r = 0.1745367521466319
Ra = 1.3888888888888888 Za = -2.5384615384615383 H_scalar_t = -0.5248992868756396
Ra = 1.3888888888888888 Za = -2.5384615384615383 H_scalar_s = 0.3373818773469859
Ra = 1.3888888888888888 Za = -2.5384615384615383 H_scalar   = -0.1875174095286537
Ra = 1.3888888888888888 Za = -2.5384615384615383 H_phi_t = 1.246240863779117
Ra = 1.3888888888888888 Za = -2.5384615384615383 H_phi_s = -0.839407516754737
Ra = 1.3888888888888888 Za = -2.5384615384615383 H_phi   = 0.4068333470243799
Ra = 1.711111111111111 Za = -2.5384615384615383 rot_H_z = -0.30057936073801905
Ra = 1.711111111111111 Za = -2.5384615384615383 rot_H_r = 0.22102001608793792
Ra = 1.711111111111111 Za = -2.5384615384615383 H_scalar_t = -0.02421985876310943
Ra = 1.711111111111111 Za = -2.5384615384615383 H_scalar_s = 0.049930730635244114
Ra = 1.711111111111111 Za = -2.5384615384615383 H_scalar   = 0.025710871872134684
Ra = 1.711111111111111 Za = -2.5384615384615383 H_phi_t = 0.8471644905767869
Ra = 1.711111111111111 Za = -2.5384615384615383 H_phi_s = -0.6132502792160691
Ra = 1.711111111111111 Za = -2.5384615384615383 H_phi   = 0.23391421136071777
Ra = 2.033333333333333 Za = -2.5384615384615383 rot_H_z = -0.22352041369460585
Ra = 2.033333333333333 Za = -2.5384615384615383 rot_H_r = 0.21968503504645143
Ra = 2.033333333333333 Za = -2.5384615384615383 H_scalar_t = 0.1928750440170579
Ra = 2.033333333333333 Za = -2.5384615384615383 H_scalar_s = -0.08058144859474692
Ra = 2.033333333333333 Za = -2.5384615384615383 H_scalar   = 0.11229359542231099
Ra = 2.033333333333333 Za = -2.5384615384615383 H_phi_t = 0.5183431578417066
Ra = 2.033333333333333 Za = -2.5384615384615383 H_phi_s = -0.39896016016609614
Ra = 2.033333333333333 Za = -2.5384615384615383 H_phi   = 0.11938299767561045
Ra = 2.3555555555555556 Za = -2.5384615384615383 rot_H_z = -0.155256874474051
Ra = 2.3555555555555556 Za = -2.5384615384615383 rot_H_r = 0.19560524269822094
Ra = 2.3555555555555556 Za = -2.5384615384615383 H_scalar_t = 0.2571491421197168
Ra = 2.3555555555555556 Za = -2.5384615384615383 H_scalar_s = -0.1176891584294315
Ra = 2.3555555555555556 Za = -2.5384615384615383 H_scalar   = 0.13945998369028528
Ra = 2.3555555555555556 Za = -2.5384615384615383 H_phi_t = 0.2913798733711468
Ra = 2.3555555555555556 Za = -2.5384615384615383 H_phi_s = -0.24452728142045532
Ra = 2.3555555555555556 Za = -2.5384615384615383 H_phi   = 0.04685259195069147
Ra = 2.6777777777777776 Za = -2.5384615384615383 rot_H_z = -0.10414635821986895
Ra = 2.6777777777777776 Za = -2.5384615384615383 rot_H_r = 0.16492870607684443
Ra = 2.6777777777777776 Za = -2.5384615384615383 H_scalar_t = 0.2549655826849543
Ra = 2.6777777777777776 Za = -2.5384615384615383 H_scalar_s = -0.11508548950052222
Ra = 2.6777777777777776 Za = -2.5384615384615383 H_scalar   = 0.13988009318443206
Ra = 2.6777777777777776 Za = -2.5384615384615383 H_phi_t = 0.1486883895587707
Ra = 2.6777777777777776 Za = -2.5384615384615383 H_phi_s = -0.1461556652692717
Ra = 2.6777777777777776 Za = -2.5384615384615383 H_phi   = 0.0025327242894989943
Ra = 3.0 Za = -2.5384615384615383 rot_H_z = -0.06837706710858678
Ra = 3.0 Za = -2.5384615384615383 rot_H_r = 0.1354376288358832
Ra = 3.0 Za = -2.5384615384615383 H_scalar_t = 0.2290223220449005
Ra = 3.0 Za = -2.5384615384615383 H_scalar_s = -0.09983116246754797
Ra = 3.0 Za = -2.5384615384615383 H_scalar   = 0.12919115957735253
Ra = 3.0 Za = -2.5384615384615383 H_phi_t = 0.06252799230317069
Ra = 3.0 Za = -2.5384615384615383 H_phi_s = -0.0861266315945779
Ra = 3.0 Za = -2.5384615384615383 H_phi   = -0.02359863929140721
Ra = 0.1 Za = -2.3846153846153846 rot_H_z = 19.35528809616013
Ra = 0.1 Za = -2.3846153846153846 rot_H_r = -1.4153496708066888
Ra = 0.1 Za = -2.3846153846153846 H_scalar_t = -33.75241242611067
Ra = 0.1 Za = -2.3846153846153846 H_scalar_s = 2.5478748655334895
Ra = 0.1 Za = -2.3846153846153846 H_scalar   = -31.204537560577183
Ra = 0.1 Za = -2.3846153846153846 H_phi_t = 2.355075323009392
Ra = 0.1 Za = -2.3846153846153846 H_phi_s = -0.2104105952471425
Ra = 0.1 Za = -2.3846153846153846 H_phi   = 2.1446647277622493
Ra = 0.42222222222222217 Za = -2.3846153846153846 rot_H_z = 1.8128707227709064
Ra = 0.42222222222222217 Za = -2.3846153846153846 rot_H_r = -0.5085841668735
Ra = 0.42222222222222217 Za = -2.3846153846153846 H_scalar_t = -7.420435472009846
Ra = 0.42222222222222217 Za = -2.3846153846153846 H_scalar_s = 2.2268917343363626
Ra = 0.42222222222222217 Za = -2.3846153846153846 H_scalar   = -5.193543737673483
Ra = 0.42222222222222217 Za = -2.3846153846153846 H_phi_t = 2.331527404421522
Ra = 0.42222222222222217 Za = -2.3846153846153846 H_phi_s = -0.8164069168289158
Ra = 0.42222222222222217 Za = -2.3846153846153846 H_phi   = 1.5151204875926063
Ra = 0.7444444444444444 Za = -2.3846153846153846 rot_H_z = 0.0002933413537635765
Ra = 0.7444444444444444 Za = -2.3846153846153846 rot_H_r = -0.02124748714897473
Ra = 0.7444444444444444 Za = -2.3846153846153846 H_scalar_t = -3.415670833736778
Ra = 0.7444444444444444 Za = -2.3846153846153846 H_scalar_s = 1.6177647855632769
Ra = 0.7444444444444444 Za = -2.3846153846153846 H_scalar   = -1.797906048173501
Ra = 0.7444444444444444 Za = -2.3846153846153846 H_phi_t = 2.198013605532943
Ra = 0.7444444444444444 Za = -2.3846153846153846 H_phi_s = -1.18755246052396
Ra = 0.7444444444444444 Za = -2.3846153846153846 H_phi   = 1.0104611450089829
Ra = 1.0666666666666667 Za = -2.3846153846153846 rot_H_z = -0.38409213577680235
Ra = 1.0666666666666667 Za = -2.3846153846153846 rot_H_r = 0.20760386832767574
Ra = 1.0666666666666667 Za = -2.3846153846153846 H_scalar_t = -1.534946937381127
Ra = 1.0666666666666667 Za = -2.3846153846153846 H_scalar_s = 0.9157241831390852
Ra = 1.0666666666666667 Za = -2.3846153846153846 H_scalar   = -0.6192227542420419
Ra = 1.0666666666666667 Za = -2.3846153846153846 H_phi_t = 1.885863220167804
Ra = 1.0666666666666667 Za = -2.3846153846153846 H_phi_s = -1.250112293834475
Ra = 1.0666666666666667 Za = -2.3846153846153846 H_phi   = 0.635750926333329
Ra = 1.3888888888888888 Za = -2.3846153846153846 rot_H_z = -0.40782118172359694
Ra = 1.3888888888888888 Za = -2.3846153846153846 rot_H_r = 0.2961455907635959
Ra = 1.3888888888888888 Za = -2.3846153846153846 H_scalar_t = -0.4528666893189714
Ra = 1.3888888888888888 Za = -2.3846153846153846 H_scalar_s = 0.3238289547484241
Ra = 1.3888888888888888 Za = -2.3846153846153846 H_scalar   = -0.1290377345705473
Ra = 1.3888888888888888 Za = -2.3846153846153846 H_phi_t = 1.413719348355873
Ra = 1.3888888888888888 Za = -2.3846153846153846 H_phi_s = -1.0426994459956256
Ra = 1.3888888888888888 Za = -2.3846153846153846 H_phi   = 0.3710199023602474
Ra = 1.711111111111111 Za = -2.3846153846153846 rot_H_z = -0.32564160934010045
Ra = 1.711111111111111 Za = -2.3846153846153846 rot_H_r = 0.30810659821957587
Ra = 1.711111111111111 Za = -2.3846153846153846 H_scalar_t = 0.09711779512598957
Ra = 1.711111111111111 Za = -2.3846153846153846 H_scalar_s = -0.023142903138290816
Ra = 1.711111111111111 Za = -2.3846153846153846 H_scalar   = 0.07397489198769876
Ra = 1.711111111111111 Za = -2.3846153846153846 H_phi_t = 0.9072900480300892
Ra = 1.711111111111111 Za = -2.3846153846153846 H_phi_s = -0.7138804389066902
Ra = 1.711111111111111 Za = -2.3846153846153846 H_phi   = 0.193409609123399
Ra = 2.033333333333333 Za = -2.3846153846153846 rot_H_z = -0.22890558891921797
Ra = 2.033333333333333 Za = -2.3846153846153846 rot_H_r = 0.278342739105221
Ra = 2.033333333333333 Za = -2.3846153846153846 H_scalar_t = 0.296498967926109
Ra = 2.033333333333333 Za = -2.3846153846153846 H_scalar_s = -0.14930808945057072
Ra = 2.033333333333333 Za = -2.3846153846153846 H_scalar   = 0.1471908784755383
Ra = 2.033333333333333 Za = -2.3846153846153846 H_phi_t = 0.5108329561683893
Ra = 2.033333333333333 Za = -2.3846153846153846 H_phi_s = -0.4296778393523568
Ra = 2.033333333333333 Za = -2.3846153846153846 H_phi   = 0.08115511681603249
Ra = 2.3555555555555556 Za = -2.3846153846153846 rot_H_z = -0.15127577571053746
Ra = 2.3555555555555556 Za = -2.3846153846153846 rot_H_r = 0.2332458768711398
Ra = 2.3555555555555556 Za = -2.3846153846153846 H_scalar_t = 0.3279050485002956
Ra = 2.3555555555555556 Za = -2.3846153846153846 H_scalar_s = -0.16479160533156012
Ra = 2.3555555555555556 Za = -2.3846153846153846 H_scalar   = 0.1631134431687355
Ra = 2.3555555555555556 Za = -2.3846153846153846 H_phi_t = 0.2588695557474507
Ra = 2.3555555555555556 Za = -2.3846153846153846 H_phi_s = -0.24498282432654128
Ra = 2.3555555555555556 Za = -2.3846153846153846 H_phi   = 0.013886731420909404
Ra = 2.6777777777777776 Za = -2.3846153846153846 rot_H_z = -0.09697317139770978
Ra = 2.6777777777777776 Za = -2.3846153846153846 rot_H_r = 0.1885860994078038
Ra = 2.6777777777777776 Za = -2.3846153846153846 H_scalar_t = 0.2998149494190426
Ra = 2.6777777777777776 Za = -2.3846153846153846 H_scalar_s = -0.1444137447779954
Ra = 2.6777777777777776 Za = -2.3846153846153846 H_scalar   = 0.15540120464104717
Ra = 2.6777777777777776 Za = -2.3846153846153846 H_phi_t = 0.1126182638184677
Ra = 2.6777777777777776 Za = -2.3846153846153846 H_phi_s = -0.13728042272575047
Ra = 2.6777777777777776 Za = -2.3846153846153846 H_phi   = -0.024662158907282766
Ra = 3.0 Za = -2.3846153846153846 rot_H_z = -0.06082524116467607
Ra = 3.0 Za = -2.3846153846153846 rot_H_r = 0.1502470514492
Ra = 3.0 Za = -2.3846153846153846 H_scalar_t = 0.2568915193410617
Ra = 3.0 Za = -2.3846153846153846 H_scalar_s = -0.11772899980824114
Ra = 3.0 Za = -2.3846153846153846 H_scalar   = 0.13916251953282055
Ra = 3.0 Za = -2.3846153846153846 H_phi_t = 0.03026323140617642
Ra = 3.0 Za = -2.3846153846153846 H_phi_s = -0.07584675557507414
Ra = 3.0 Za = -2.3846153846153846 H_phi   = -0.04558352416889772
Ra = 0.1 Za = -2.230769230769231 rot_H_z = 20.765569778750663
Ra = 0.1 Za = -2.230769230769231 rot_H_r = -1.1827060444467232
Ra = 0.1 Za = -2.230769230769231 H_scalar_t = -37.59452533720616
Ra = 0.1 Za = -2.230769230769231 H_scalar_s = 3.29728494061923
Ra = 0.1 Za = -2.230769230769231 H_scalar   = -34.29724039658693
Ra = 0.1 Za = -2.230769230769231 H_phi_t = 2.63155783539728
Ra = 0.1 Za = -2.230769230769231 H_phi_s = -0.2830453508364169
Ra = 0.1 Za = -2.230769230769231 H_phi   = 2.3485124845608634
Ra = 0.42222222222222217 Za = -2.230769230769231 rot_H_z = 1.6158426011862446
Ra = 0.42222222222222217 Za = -2.230769230769231 rot_H_r = -0.14757730534483837
Ra = 0.42222222222222217 Za = -2.230769230769231 H_scalar_t = -8.312475178927077
Ra = 0.42222222222222217 Za = -2.230769230769231 H_scalar_s = 2.8535089046653233
Ra = 0.42222222222222217 Za = -2.230769230769231 H_scalar   = -5.458966274261753
Ra = 0.42222222222222217 Za = -2.230769230769231 H_phi_t = 2.663096373301899
Ra = 0.42222222222222217 Za = -2.230769230769231 H_phi_s = -1.0944758735521265
Ra = 0.42222222222222217 Za = -2.230769230769231 H_phi   = 1.5686204997497726
Ra = 0.7444444444444444 Za = -2.230769230769231 rot_H_z = -0.16843506538040787
Ra = 0.7444444444444444 Za = -2.230769230769231 rot_H_r = 0.2887108430133436
Ra = 0.7444444444444444 Za = -2.230769230769231 H_scalar_t = -3.80260425880344
Ra = 0.7444444444444444 Za = -2.230769230769231 H_scalar_s = 2.0172954246453725
Ra = 0.7444444444444444 Za = -2.230769230769231 H_scalar   = -1.7853088341580676
Ra = 0.7444444444444444 Za = -2.230769230769231 H_phi_t = 2.565621157031948
Ra = 0.7444444444444444 Za = -2.230769230769231 H_phi_s = -1.5739520734657306
Ra = 0.7444444444444444 Za = -2.230769230769231 H_phi   = 0.9916690835662174
Ra = 1.0666666666666667 Za = -2.230769230769231 rot_H_z = -0.48074642357710484
Ra = 1.0666666666666667 Za = -2.230769230769231 rot_H_r = 0.43346936883881027
Ra = 1.0666666666666667 Za = -2.230769230769231 H_scalar_t = -1.617493008528558
Ra = 1.0666666666666667 Za = -2.230769230769231 H_scalar_s = 1.064876196235653
Ra = 1.0666666666666667 Za = -2.230769230769231 H_scalar   = -0.5526168122929049
Ra = 1.0666666666666667 Za = -2.230769230769231 H_phi_t = 2.215374443472046
Ra = 1.0666666666666667 Za = -2.230769230769231 H_phi_s = -1.6279981042166558
Ra = 1.0666666666666667 Za = -2.230769230769231 H_phi   = 0.5873763392553901
Ra = 1.3888888888888888 Za = -2.230769230769231 rot_H_z = -0.4560955555781194
Ra = 1.3888888888888888 Za = -2.230769230769231 rot_H_r = 0.4506167516953947
Ra = 1.3888888888888888 Za = -2.230769230769231 H_scalar_t = -0.3376641560236118
Ra = 1.3888888888888888 Za = -2.230769230769231 H_scalar_s = 0.2752322781192795
Ra = 1.3888888888888888 Za = -2.230769230769231 H_scalar   = -0.062431877904332245
Ra = 1.3888888888888888 Za = -2.230769230769231 H_phi_t = 1.617583024757109
Ra = 1.3888888888888888 Za = -2.230769230769231 H_phi_s = -1.3035579770706993
Ra = 1.3888888888888888 Za = -2.230769230769231 H_phi   = 0.3140250476864097
Ra = 1.711111111111111 Za = -2.230769230769231 rot_H_z = -0.34111448436152114
Ra = 1.711111111111111 Za = -2.230769230769231 rot_H_r = 0.4106263234348385
Ra = 1.711111111111111 Za = -2.230769230769231 H_scalar_t = 0.2648711143748921
Ra = 1.711111111111111 Za = -2.230769230769231 H_scalar_s = -0.13945229159497474
Ra = 1.711111111111111 Za = -2.230769230769231 H_scalar   = 0.12541882277991734
Ra = 1.711111111111111 Za = -2.230769230769231 H_phi_t = 0.9590127897386894
Ra = 1.711111111111111 Za = -2.230769230769231 H_phi_s = -0.8206944316956188
Ra = 1.711111111111111 Za = -2.230769230769231 H_phi   = 0.13831835804307058
Ra = 2.033333333333333 Za = -2.230769230769231 rot_H_z = -0.22544584402725432
Ra = 2.033333333333333 Za = -2.230769230769231 rot_H_r = 0.34258512233277566
Ra = 2.033333333333333 Za = -2.230769230769231 H_scalar_t = 0.4223879312148946
Ra = 2.033333333333333 Za = -2.230769230769231 H_scalar_s = -0.24011470650927702
Ra = 2.033333333333333 Za = -2.230769230769231 H_scalar   = 0.18227322470561758
Ra = 2.033333333333333 Za = -2.230769230769231 H_phi_t = 0.4802545800597441
Ra = 2.033333333333333 Za = -2.230769230769231 H_phi_s = -0.4468041593792571
Ra = 2.033333333333333 Za = -2.230769230769231 H_phi   = 0.03345042068048698
Ra = 2.3555555555555556 Za = -2.230769230769231 rot_H_z = -0.14088642870475243
Ra = 2.3555555555555556 Za = -2.230769230769231 rot_H_r = 0.2718468049745494
Ra = 2.3555555555555556 Za = -2.230769230769231 H_scalar_t = 0.4050257908105873
Ra = 2.3555555555555556 Za = -2.230769230769231 H_scalar_s = -0.21934825431637406
Ra = 2.3555555555555556 Za = -2.230769230769231 H_scalar   = 0.18567753649421326
Ra = 2.3555555555555556 Za = -2.230769230769231 H_phi_t = 0.2083012077001098
Ra = 2.3555555555555556 Za = -2.230769230769231 H_phi_s = -0.23326702998758542
Ra = 2.3555555555555556 Za = -2.230769230769231 H_phi   = -0.024965822287475625
Ra = 2.6777777777777776 Za = -2.230769230769231 rot_H_z = -0.08564523100042037
Ra = 2.6777777777777776 Za = -2.230769230769231 rot_H_r = 0.2115757626333159
Ra = 2.6777777777777776 Za = -2.230769230769231 H_scalar_t = 0.3449855848827409
Ra = 2.6777777777777776 Za = -2.230769230769231 H_scalar_s = -0.17548098577575022
Ra = 2.6777777777777776 Za = -2.230769230769231 H_scalar   = 0.16950459910699067
Ra = 2.6777777777777776 Za = -2.230769230769231 H_phi_t = 0.06531075052887651
Ra = 2.6777777777777776 Za = -2.230769230769231 H_phi_s = -0.12077074661100307
Ra = 2.6777777777777776 Za = -2.230769230769231 H_phi   = -0.05545999608212655
Ra = 3.0 Za = -2.230769230769231 rot_H_z = -0.050661754508943696
Ra = 3.0 Za = -2.230769230769231 rot_H_r = 0.164001501623391
Ra = 3.0 Za = -2.230769230769231 H_scalar_t = 0.2833219539551055
Ra = 3.0 Za = -2.230769230769231 H_scalar_s = -0.13554949862920973
Ra = 3.0 Za = -2.230769230769231 H_scalar   = 0.14777245532589578
Ra = 3.0 Za = -2.230769230769231 H_phi_t = -0.008661674783801023
Ra = 3.0 Za = -2.230769230769231 H_phi_s = -0.061112884996275874
Ra = 3.0 Za = -2.230769230769231 H_phi   = -0.06977455978007689
Ra = 0.1 Za = -2.0769230769230766 rot_H_z = 21.355473459273853
Ra = 0.1 Za = -2.0769230769230766 rot_H_r = -0.47928840066697087
Ra = 0.1 Za = -2.0769230769230766 H_scalar_t = -41.86128777367757
Ra = 0.1 Za = -2.0769230769230766 H_scalar_s = 4.308669469961149
Ra = 0.1 Za = -2.0769230769230766 H_scalar   = -37.552618303716415
Ra = 0.1 Za = -2.0769230769230766 H_phi_t = 2.867476867415697
Ra = 0.1 Za = -2.0769230769230766 H_phi_s = -0.3825929122119587
Ra = 0.1 Za = -2.0769230769230766 H_phi   = 2.4848839552037383
Ra = 0.42222222222222217 Za = -2.0769230769230766 rot_H_z = 1.2738374196671503
Ra = 0.42222222222222217 Za = -2.0769230769230766 rot_H_r = 0.5145738462542848
Ra = 0.42222222222222217 Za = -2.0769230769230766 H_scalar_t = -9.376214120827493
Ra = 0.42222222222222217 Za = -2.0769230769230766 H_scalar_s = 3.6929523992766122
Ra = 0.42222222222222217 Za = -2.0769230769230766 H_scalar   = -5.683261721550881
Ra = 0.42222222222222217 Za = -2.0769230769230766 H_phi_t = 3.026325124172766
Ra = 0.42222222222222217 Za = -2.0769230769230766 H_phi_s = -1.4811599180681203
Ra = 0.42222222222222217 Za = -2.0769230769230766 H_phi   = 1.5451652061046455
Ra = 0.7444444444444444 Za = -2.0769230769230766 rot_H_z = -0.35638984864634393
Ra = 0.7444444444444444 Za = -2.0769230769230766 rot_H_r = 0.7633721614817826
Ra = 0.7444444444444444 Za = -2.0769230769230766 H_scalar_t = -4.281380842301981
Ra = 0.7444444444444444 Za = -2.0769230769230766 H_scalar_s = 2.536308341358105
Ra = 0.7444444444444444 Za = -2.0769230769230766 H_scalar   = -1.7450725009438757
Ra = 0.7444444444444444 Za = -2.0769230769230766 H_phi_t = 3.014375347967445
Ra = 0.7444444444444444 Za = -2.0769230769230766 H_phi_s = -2.1011754539910124
Ra = 0.7444444444444444 Za = -2.0769230769230766 H_phi   = 0.9131998939764325
Ra = 1.0666666666666667 Za = -2.0769230769230766 rot_H_z = -0.5627749507847801
Ra = 1.0666666666666667 Za = -2.0769230769230766 rot_H_r = 0.7416670666957206
Ra = 1.0666666666666667 Za = -2.0769230769230766 H_scalar_t = -1.712741097174214
Ra = 1.0666666666666667 Za = -2.0769230769230766 H_scalar_s = 1.2407045955088312
Ra = 1.0666666666666667 Za = -2.0769230769230766 H_scalar   = -0.4720365016653829
Ra = 1.0666666666666667 Za = -2.0769230769230766 H_phi_t = 2.63978820747963
Ra = 1.0666666666666667 Za = -2.0769230769230766 H_phi_s = -2.141630914540515
Ra = 1.0666666666666667 Za = -2.0769230769230766 H_phi   = 0.49815729293911515
Ra = 1.3888888888888888 Za = -2.0769230769230766 rot_H_z = -0.48751558127636563
Ra = 1.3888888888888888 Za = -2.0769230769230766 rot_H_r = 0.641744037364405
Ra = 1.3888888888888888 Za = -2.0769230769230766 H_scalar_t = -0.1548689463515165
Ra = 1.3888888888888888 Za = -2.0769230769230766 H_scalar_s = 0.16531032913597654
Ra = 1.3888888888888888 Za = -2.0769230769230766 H_scalar   = 0.010441382784460052
Ra = 1.3888888888888888 Za = -2.0769230769230766 H_phi_t = 1.874521201404538
Ra = 1.3888888888888888 Za = -2.0769230769230766 H_phi_s = -1.644035115976589
Ra = 1.3888888888888888 Za = -2.0769230769230766 H_phi   = 0.23048608542794913
Ra = 1.711111111111111 Za = -2.0769230769230766 rot_H_z = -0.34144454611994757
Ra = 1.711111111111111 Za = -2.0769230769230766 rot_H_r = 0.5275895677648759
Ra = 1.711111111111111 Za = -2.0769230769230766 H_scalar_t = 0.4992458668534707
Ra = 1.711111111111111 Za = -2.0769230769230766 H_scalar_s = -0.32108630375690117
Ra = 1.711111111111111 Za = -2.0769230769230766 H_scalar   = 0.17815956309656955
Ra = 1.711111111111111 Za = -2.0769230769230766 H_phi_t = 0.9877776909776347
Ra = 1.711111111111111 Za = -2.0769230769230766 H_phi_s = -0.9214595179549157
Ra = 1.711111111111111 Za = -2.0769230769230766 H_phi   = 0.06631817302271903
Ra = 2.033333333333333 Za = -2.0769230769230766 rot_H_z = -0.2100866977467477
Ra = 2.033333333333333 Za = -2.0769230769230766 rot_H_r = 0.4098394768163398
Ra = 2.033333333333333 Za = -2.0769230769230766 H_scalar_t = 0.5709475335368143
Ra = 2.033333333333333 Za = -2.0769230769230766 H_scalar_s = -0.3549986800051572
Ra = 2.033333333333333 Za = -2.0769230769230766 H_scalar   = 0.21594885353165705
Ra = 2.033333333333333 Za = -2.0769230769230766 H_phi_t = 0.4136875192344806
Ra = 2.033333333333333 Za = -2.0769230769230766 H_phi_s = -0.4381011216274824
Ra = 2.033333333333333 Za = -2.0769230769230766 H_phi   = -0.024413602393001776
Ra = 2.3555555555555556 Za = -2.0769230769230766 rot_H_z = -0.1229498069576363
Ra = 2.3555555555555556 Za = -2.0769230769230766 rot_H_r = 0.3093249735649253
Ra = 2.3555555555555556 Za = -2.0769230769230766 H_scalar_t = 0.4850200078763445
Ra = 2.3555555555555556 Za = -2.0769230769230766 H_scalar_s = -0.27894466765806536
Ra = 2.3555555555555556 Za = -2.0769230769230766 H_scalar   = 0.20607534021827917
Ra = 2.3555555555555556 Za = -2.0769230769230766 H_phi_t = 0.1350938752359977
Ra = 2.3555555555555556 Za = -2.0769230769230766 H_phi_s = -0.2047960709047727
Ra = 2.3555555555555556 Za = -2.0769230769230766 H_phi   = -0.069702195668775
Ra = 2.6777777777777776 Za = -2.0769230769230766 rot_H_z = -0.0698567900670134
Ra = 2.6777777777777776 Za = -2.0769230769230766 rot_H_r = 0.23262033541304677
Ra = 2.6777777777777776 Za = -2.0769230769230766 H_scalar_t = 0.3879632163343126
Ra = 2.6777777777777776 Za = -2.0769230769230766 H_scalar_s = -0.2064389231893069
Ra = 2.6777777777777776 Za = -2.0769230769230766 H_scalar   = 0.18152429314500568
Ra = 2.6777777777777776 Za = -2.0769230769230766 H_phi_t = 0.005655471004946541
Ra = 2.6777777777777776 Za = -2.0769230769230766 H_phi_s = -0.09531848681469346
Ra = 2.6777777777777776 Za = -2.0769230769230766 H_phi   = -0.08966301580974692
Ra = 3.0 Za = -2.0769230769230766 rot_H_z = -0.03786172141050778
Ra = 3.0 Za = -2.0769230769230766 rot_H_r = 0.17596576441588668
Ra = 3.0 Za = -2.0769230769230766 H_scalar_t = 0.3068585665338275
Ra = 3.0 Za = -2.0769230769230766 H_scalar_s = -0.15224332731424461
Ra = 3.0 Za = -2.0769230769230766 H_scalar   = 0.15461523921958287
Ra = 3.0 Za = -2.0769230769230766 H_phi_t = -0.05432075964180879
Ra = 3.0 Za = -2.0769230769230766 H_phi_s = -0.04163303781916028
Ra = 3.0 Za = -2.0769230769230766 H_phi   = -0.09595379746096908
Ra = 0.1 Za = -1.923076923076923 rot_H_z = 20.16875200150459
Ra = 0.1 Za = -1.923076923076923 rot_H_r = 1.2229435321882707
Ra = 0.1 Za = -1.923076923076923 H_scalar_t = -46.45299901707198
Ra = 0.1 Za = -1.923076923076923 H_scalar_s = 5.674730410583396
Ra = 0.1 Za = -1.923076923076923 H_scalar   = -40.77826860648859
Ra = 0.1 Za = -1.923076923076923 H_phi_t = 2.957936074264801
Ra = 0.1 Za = -1.923076923076923 H_phi_s = -0.5123152821137733
Ra = 0.1 Za = -1.923076923076923 H_phi   = 2.445620792151028
Ra = 0.42222222222222217 Za = -1.923076923076923 rot_H_z = 0.7738402809946798
Ra = 0.42222222222222217 Za = -1.923076923076923 rot_H_r = 1.636347025819044
Ra = 0.42222222222222217 Za = -1.923076923076923 H_scalar_t = -10.67311497339929
Ra = 0.42222222222222217 Za = -1.923076923076923 H_scalar_s = 4.830372332409284
Ra = 0.42222222222222217 Za = -1.923076923076923 H_scalar   = -5.842742640990006
Ra = 0.42222222222222217 Za = -1.923076923076923 H_phi_t = 3.415166684150116
Ra = 0.42222222222222217 Za = -1.923076923076923 H_phi_s = -2.0283870173640333
Ra = 0.42222222222222217 Za = -1.923076923076923 H_phi   = 1.3867796667860826
Ra = 0.7444444444444444 Za = -1.923076923076923 rot_H_z = -0.5406046424464099
Ra = 0.7444444444444444 Za = -1.923076923076923 rot_H_r = 1.4609804395294317
Ra = 0.7444444444444444 Za = -1.923076923076923 H_scalar_t = -4.886813435208957
Ra = 0.7444444444444444 Za = -1.923076923076923 H_scalar_s = 3.2110022686121
Ra = 0.7444444444444444 Za = -1.923076923076923 H_scalar   = -1.6758111665968571
Ra = 0.7444444444444444 Za = -1.923076923076923 H_phi_t = 3.565002377334804
Ra = 0.7444444444444444 Za = -1.923076923076923 H_phi_s = -2.8196342738760176
Ra = 0.7444444444444444 Za = -1.923076923076923 H_phi   = 0.7453681034587865
Ra = 1.0666666666666667 Za = -1.923076923076923 rot_H_z = -0.6077534528977344
Ra = 1.0666666666666667 Za = -1.923076923076923 rot_H_r = 1.1517525885202238
Ra = 1.0666666666666667 Za = -1.923076923076923 H_scalar_t = -1.839993131736174
Ra = 1.0666666666666667 Za = -1.923076923076923 H_scalar_s = 1.458654622694663
Ra = 1.0666666666666667 Za = -1.923076923076923 H_scalar   = -0.3813385090415109
Ra = 1.0666666666666667 Za = -1.923076923076923 H_phi_t = 3.1993084451116
Ra = 1.0666666666666667 Za = -1.923076923076923 H_phi_s = -2.8453590544865275
Ra = 1.0666666666666667 Za = -1.923076923076923 H_phi   = 0.35394939062507236
Ra = 1.3888888888888888 Za = -1.923076923076923 rot_H_z = -0.48929021408767914
Ra = 1.3888888888888888 Za = -1.923076923076923 rot_H_r = 0.8717820154137068
Ra = 1.3888888888888888 Za = -1.923076923076923 H_scalar_t = 0.1397288481095267
Ra = 1.3888888888888888 Za = -1.923076923076923 H_scalar_s = -0.053667189293295614
Ra = 1.3888888888888888 Za = -1.923076923076923 H_scalar   = 0.0860616588162311
Ra = 1.3888888888888888 Za = -1.923076923076923 H_phi_t = 2.219243369803829
Ra = 1.3888888888888888 Za = -1.923076923076923 H_phi_s = -2.1046767785887965
Ra = 1.3888888888888888 Za = -1.923076923076923 H_phi   = 0.11456659121503243
Ra = 1.711111111111111 Za = -1.923076923076923 rot_H_z = -0.3193146964777731
Ra = 1.711111111111111 Za = -1.923076923076923 rot_H_r = 0.6554214922233375
Ra = 1.711111111111111 Za = -1.923076923076923 H_scalar_t = 0.8304913787009658
Ra = 1.711111111111111 Za = -1.923076923076923 H_scalar_s = -0.6011601353181368
Ra = 1.711111111111111 Za = -1.923076923076923 H_scalar   = 0.22933124338282895
Ra = 1.711111111111111 Za = -1.923076923076923 H_phi_t = 0.9600640995675456
Ra = 1.711111111111111 Za = -1.923076923076923 H_phi_s = -0.9846464637441343
Ra = 1.711111111111111 Za = -1.923076923076923 H_phi   = -0.024582364176588767
Ra = 2.033333333333333 Za = -1.923076923076923 rot_H_z = -0.1796970140201083
Ra = 2.033333333333333 Za = -1.923076923076923 rot_H_r = 0.47549002772807936
Ra = 2.033333333333333 Za = -1.923076923076923 H_scalar_t = 0.7363035833720348
Ra = 2.033333333333333 Za = -1.923076923076923 H_scalar_s = -0.4901603393005787
Ra = 2.033333333333333 Za = -1.923076923076923 H_scalar   = 0.24614324407145616
Ra = 2.033333333333333 Za = -1.923076923076923 H_phi_t = 0.2933439076325215
Ra = 2.033333333333333 Za = -1.923076923076923 H_phi_s = -0.38592063889598016
Ra = 2.033333333333333 Za = -1.923076923076923 H_phi   = -0.09257673126345867
Ra = 2.3555555555555556 Za = -1.923076923076923 rot_H_z = -0.09677367812472965
Ra = 2.3555555555555556 Za = -1.923076923076923 rot_H_r = 0.34284125951719113
Ra = 2.3555555555555556 Za = -1.923076923076923 H_scalar_t = 0.5616229708290459
Ra = 2.3555555555555556 Za = -1.923076923076923 H_scalar_s = -0.3385387650065188
Ra = 2.3555555555555556 Za = -1.923076923076923 H_scalar   = 0.22308420582252708
Ra = 2.3555555555555556 Za = -1.923076923076923 H_phi_t = 0.03548830479877339
Ra = 2.3555555555555556 Za = -1.923076923076923 H_phi_s = -0.1554289778087785
Ra = 2.3555555555555556 Za = -1.923076923076923 H_phi   = -0.11994067301000512
Ra = 2.6777777777777776 Za = -1.923076923076923 rot_H_z = -0.04962134609311064
Ra = 2.6777777777777776 Za = -1.923076923076923 rot_H_r = 0.2502358845751981
Ra = 2.6777777777777776 Za = -1.923076923076923 H_scalar_t = 0.4254732080720167
Ra = 2.6777777777777776 Za = -1.923076923076923 H_scalar_s = -0.234703018576764
Ra = 2.6777777777777776 Za = -1.923076923076923 H_scalar   = 0.1907701894952527
Ra = 2.6777777777777776 Za = -1.923076923076923 H_phi_t = -0.06657443726575356
Ra = 2.6777777777777776 Za = -1.923076923076923 H_phi_s = -0.060285324757413106
Ra = 2.6777777777777776 Za = -1.923076923076923 H_phi   = -0.12685976202316668
Ra = 3.0 Za = -1.923076923076923 rot_H_z = -0.022576871082648303
Ra = 3.0 Za = -1.923076923076923 rot_H_r = 0.18536242578986756
Ra = 3.0 Za = -1.923076923076923 H_scalar_t = 0.325871676006433
Ra = 3.0 Za = -1.923076923076923 H_scalar_s = -0.1665772391457443
Ra = 3.0 Za = -1.923076923076923 H_scalar   = 0.15929443686068873
Ra = 3.0 Za = -1.923076923076923 H_phi_t = -0.1063040998701171
Ra = 3.0 Za = -1.923076923076923 H_phi_s = -0.017482052425710215
Ra = 3.0 Za = -1.923076923076923 H_phi   = -0.12378615229582732
Ra = 0.1 Za = -1.7692307692307692 rot_H_z = 15.566054766484143
Ra = 0.1 Za = -1.7692307692307692 rot_H_r = 4.885147024229258
Ra = 0.1 Za = -1.7692307692307692 H_scalar_t = -51.05352159381194
Ra = 0.1 Za = -1.7692307692307692 H_scalar_s = 7.469132692086852
Ra = 0.1 Za = -1.7692307692307692 H_scalar   = -43.58438890172509
Ra = 0.1 Za = -1.7692307692307692 H_phi_t = 2.64441172419817
Ra = 0.1 Za = -1.7692307692307692 H_phi_s = -0.6362907814380023
Ra = 0.1 Za = -1.7692307692307692 H_phi   = 2.0081209427601676
Ra = 0.42222222222222217 Za = -1.7692307692307692 rot_H_z = 0.13933831874971858
Ra = 0.42222222222222217 Za = -1.7692307692307692 rot_H_r = 3.4100530845745025
Ra = 0.42222222222222217 Za = -1.7692307692307692 H_scalar_t = -12.31661060486974
Ra = 0.42222222222222217 Za = -1.7692307692307692 H_scalar_s = 6.402169889356891
Ra = 0.42222222222222217 Za = -1.7692307692307692 H_scalar   = -5.91444071551285
Ra = 0.42222222222222217 Za = -1.7692307692307692 H_phi_t = 3.84665601501594
Ra = 0.42222222222222217 Za = -1.7692307692307692 H_phi_s = -2.838376881799638
Ra = 0.42222222222222217 Za = -1.7692307692307692 H_phi   = 1.008279133216302
Ra = 0.7444444444444444 Za = -1.7692307692307692 rot_H_z = -0.6790668746657991
Ra = 0.7444444444444444 Za = -1.7692307692307692 rot_H_r = 2.44833951332361
Ra = 0.7444444444444444 Za = -1.7692307692307692 H_scalar_t = -5.6574666666944
Ra = 0.7444444444444444 Za = -1.7692307692307692 H_scalar_s = 4.076441881274657
Ra = 0.7444444444444444 Za = -1.7692307692307692 H_scalar   = -1.5810247854197428
Ra = 0.7444444444444444 Za = -1.7692307692307692 H_phi_t = 4.237904469660411
Ra = 0.7444444444444444 Za = -1.7692307692307692 H_phi_s = -3.789095937789965
Ra = 0.7444444444444444 Za = -1.7692307692307692 H_phi   = 0.44880853187044645
Ra = 1.0666666666666667 Za = -1.7692307692307692 rot_H_z = -0.5840705724909998
Ra = 1.0666666666666667 Za = -1.7692307692307692 rot_H_r = 1.6851295152516332
Ra = 1.0666666666666667 Za = -1.7692307692307692 H_scalar_t = -2.049695447313741
Ra = 1.0666666666666667 Za = -1.7692307692307692 H_scalar_s = 1.7611486454550254
Ra = 1.0666666666666667 Za = -1.7692307692307692 H_scalar   = -0.2885468018587156
Ra = 1.0666666666666667 Za = -1.7692307692307692 H_phi_t = 3.944303641838113
Ra = 1.0666666666666667 Za = -1.7692307692307692 H_phi_s = -3.80685323076723
Ra = 1.0666666666666667 Za = -1.7692307692307692 H_phi   = 0.13745041107088296
Ra = 1.3888888888888888 Za = -1.7692307692307692 rot_H_z = -0.4429399787509283
Ra = 1.3888888888888888 Za = -1.7692307692307692 rot_H_r = 1.1414594020044202
Ra = 1.3888888888888888 Za = -1.7692307692307692 H_scalar_t = 0.6329042708955848
Ra = 1.3888888888888888 Za = -1.7692307692307692 H_scalar_s = -0.4743617488275955
Ra = 1.3888888888888888 Za = -1.7692307692307692 H_scalar   = 0.15854252206798924
Ra = 1.3888888888888888 Za = -1.7692307692307692 H_phi_t = 2.74564201506601
Ra = 1.3888888888888888 Za = -1.7692307692307692 H_phi_s = -2.7854263575850724
Ra = 1.3888888888888888 Za = -1.7692307692307692 H_phi   = -0.03978434251906249
Ra = 1.711111111111111 Za = -1.7692307692307692 rot_H_z = -0.2647415118917005
Ra = 1.711111111111111 Za = -1.7692307692307692 rot_H_r = 0.7852586265350041
Ra = 1.711111111111111 Za = -1.7692307692307692 H_scalar_t = 1.294964090054227
Ra = 1.711111111111111 Za = -1.7692307692307692 H_scalar_s = -1.0202102826228079
Ra = 1.711111111111111 Za = -1.7692307692307692 H_scalar   = 0.2747538074314191
Ra = 1.711111111111111 Za = -1.7692307692307692 H_phi_t = 0.7914597366885721
Ra = 1.711111111111111 Za = -1.7692307692307692 H_phi_s = -0.926933079235642
Ra = 1.711111111111111 Za = -1.7692307692307692 H_phi   = -0.13547334254707
Ra = 2.033333333333333 Za = -1.7692307692307692 rot_H_z = -0.13203317343071197
Ra = 2.033333333333333 Za = -1.7692307692307692 rot_H_r = 0.5320910334366304
Ra = 2.033333333333333 Za = -1.7692307692307692 H_scalar_t = 0.8989996239423065
Ra = 2.033333333333333 Za = -1.7692307692307692 H_scalar_s = -0.6286502445223185
Ra = 2.033333333333333 Za = -1.7692307692307692 H_scalar   = 0.27034937941998793
Ra = 2.033333333333333 Za = -1.7692307692307692 H_phi_t = 0.1000043847382536
Ra = 2.033333333333333 Za = -1.7692307692307692 H_phi_s = -0.2702639451033466
Ra = 2.033333333333333 Za = -1.7692307692307692 H_phi   = -0.17025956036509302
Ra = 2.3555555555555556 Za = -1.7692307692307692 rot_H_z = -0.06254860734091167
Ra = 2.3555555555555556 Za = -1.7692307692307692 rot_H_r = 0.3689563470225182
Ra = 2.3555555555555556 Za = -1.7692307692307692 H_scalar_t = 0.6256034141315384
Ra = 2.3555555555555556 Za = -1.7692307692307692 H_scalar_s = -0.39016663936767926
Ra = 2.3555555555555556 Za = -1.7692307692307692 H_scalar   = 0.23543677476385916
Ra = 2.3555555555555556 Za = -1.7692307692307692 H_phi_t = -0.09140830480238367
Ra = 2.3555555555555556 Za = -1.7692307692307692 H_phi_s = -0.08340415157961756
Ra = 2.3555555555555556 Za = -1.7692307692307692 H_phi   = -0.1748124563820012
Ra = 2.6777777777777776 Za = -1.7692307692307692 rot_H_z = -0.02538712533401477
Ra = 2.6777777777777776 Za = -1.7692307692307692 rot_H_r = 0.2628759714288844
Ra = 2.6777777777777776 Za = -1.7692307692307692 H_scalar_t = 0.453789588871031
Ra = 2.6777777777777776 Za = -1.7692307692307692 H_scalar_s = -0.2572031167528728
Ra = 2.6777777777777776 Za = -1.7692307692307692 H_scalar   = 0.19658647211815822
Ra = 2.6777777777777776 Za = -1.7692307692307692 H_phi_t = -0.1502240689484063
Ra = 2.6777777777777776 Za = -1.7692307692307692 H_phi_s = -0.016179178805548533
Ra = 2.6777777777777776 Za = -1.7692307692307692 H_phi   = -0.16640324775395482
Ra = 3.0 Za = -1.7692307692307692 rot_H_z = -0.0051615895796938635
Ra = 3.0 Za = -1.7692307692307692 rot_H_r = 0.19144406394406804
Ra = 3.0 Za = -1.7692307692307692 H_scalar_t = 0.3387248734309377
Ra = 3.0 Za = -1.7692307692307692 H_scalar_s = -0.17727250755456792
Ra = 3.0 Za = -1.7692307692307692 H_scalar   = 0.1614523658763698
Ra = 3.0 Za = -1.7692307692307692 H_phi_t = -0.163611694002709
Ra = 3.0 Za = -1.7692307692307692 H_phi_s = 0.010793506883128856
Ra = 3.0 Za = -1.7692307692307692 H_phi   = -0.15281818711958015
Ra = 0.1 Za = -1.6153846153846154 rot_H_z = 5.411420445708982
Ra = 0.1 Za = -1.6153846153846154 rot_H_r = 10.793004054662083
Ra = 0.1 Za = -1.6153846153846154 H_scalar_t = -54.73049172339021
Ra = 0.1 Za = -1.6153846153846154 H_scalar_s = 9.449227482244932
Ra = 0.1 Za = -1.6153846153846154 H_scalar   = -45.28126424114528
Ra = 0.1 Za = -1.6153846153846154 H_phi_t = 1.331669023462662
Ra = 0.1 Za = -1.6153846153846154 H_phi_s = -0.5154409536761964
Ra = 0.1 Za = -1.6153846153846154 H_phi   = 0.8162280697864657
Ra = 0.42222222222222217 Za = -1.6153846153846154 rot_H_z = -0.6165068806085365
Ra = 0.42222222222222217 Za = -1.6153846153846154 rot_H_r = 6.100078711778433
Ra = 0.42222222222222217 Za = -1.6153846153846154 H_scalar_t = -14.51232688702844
Ra = 0.42222222222222217 Za = -1.6153846153846154 H_scalar_s = 8.632568722521464
Ra = 0.42222222222222217 Za = -1.6153846153846154 H_scalar   = -5.879758164506976
Ra = 0.42222222222222217 Za = -1.6153846153846154 H_phi_t = 4.521295145491417
Ra = 0.42222222222222217 Za = -1.6153846153846154 H_phi_s = -4.229852452436202
Ra = 0.42222222222222217 Za = -1.6153846153846154 H_phi   = 0.29144269305521586
Ra = 0.7444444444444444 Za = -1.6153846153846154 rot_H_z = -0.6960120824994327
Ra = 0.7444444444444444 Za = -1.6153846153846154 rot_H_r = 3.78736576940451
Ra = 0.7444444444444444 Za = -1.6153846153846154 H_scalar_t = -6.617715473906699
Ra = 0.7444444444444444 Za = -1.6153846153846154 H_scalar_s = 5.144718476589295
Ra = 0.7444444444444444 Za = -1.6153846153846154 H_scalar   = -1.472996997317404
Ra = 0.7444444444444444 Za = -1.6153846153846154 H_phi_t = 5.03586216526856
Ra = 0.7444444444444444 Za = -1.6153846153846154 H_phi_s = -5.0619536800839295
Ra = 0.7444444444444444 Za = -1.6153846153846154 H_phi   = -0.026091514815369976
Ra = 1.0666666666666667 Za = -1.6153846153846154 rot_H_z = -0.4562910922643031
Ra = 1.0666666666666667 Za = -1.6153846153846154 rot_H_r = 2.3627357283497394
Ra = 1.0666666666666667 Za = -1.6153846153846154 H_scalar_t = -2.451910867510525
Ra = 1.0666666666666667 Za = -1.6153846153846154 H_scalar_s = 2.2449248280962277
Ra = 1.0666666666666667 Za = -1.6153846153846154 H_scalar   = -0.20698603941429727
Ra = 1.0666666666666667 Za = -1.6153846153846154 H_phi_t = 4.903721600897621
Ra = 1.0666666666666667 Za = -1.6153846153846154 H_phi_s = -5.075688639991428
Ra = 1.0666666666666667 Za = -1.6153846153846154 H_phi   = -0.17196703909380684
Ra = 1.3888888888888888 Za = -1.6153846153846154 rot_H_z = -0.316907595938952
Ra = 1.3888888888888888 Za = -1.6153846153846154 rot_H_r = 1.4572643428055638
Ra = 1.3888888888888888 Za = -1.6153846153846154 H_scalar_t = 1.460436990418461
Ra = 1.3888888888888888 Za = -1.6153846153846154 H_scalar_s = -1.2421082282196156
Ra = 1.3888888888888888 Za = -1.6153846153846154 H_scalar   = 0.21832876219884545
Ra = 1.3888888888888888 Za = -1.6153846153846154 H_phi_t = 3.827399756108774
Ra = 1.3888888888888888 Za = -1.6153846153846154 H_phi_s = -4.06633669705113
Ra = 1.3888888888888888 Za = -1.6153846153846154 H_phi   = -0.2389369409423563
Ra = 1.711111111111111 Za = -1.6153846153846154 rot_H_z = -0.16430083560704922
Ra = 1.711111111111111 Za = -1.6153846153846154 rot_H_r = 0.8939661622174411
Ra = 1.711111111111111 Za = -1.6153846153846154 H_scalar_t = 1.855152238682082
Ra = 1.711111111111111 Za = -1.6153846153846154 H_scalar_s = -1.5467210521477712
Ra = 1.711111111111111 Za = -1.6153846153846154 H_scalar   = 0.3084311865343108
Ra = 1.711111111111111 Za = -1.6153846153846154 H_phi_t = 0.2739230855086224
Ra = 1.711111111111111 Za = -1.6153846153846154 H_phi_s = -0.5391051868018923
Ra = 1.711111111111111 Za = -1.6153846153846154 H_phi   = -0.26518210129326997
Ra = 2.033333333333333 Za = -1.6153846153846154 rot_H_z = -0.06794270520584916
Ra = 2.033333333333333 Za = -1.6153846153846154 rot_H_r = 0.5694182731624893
Ra = 2.033333333333333 Za = -1.6153846153846154 H_scalar_t = 1.019789471219148
Ra = 2.033333333333333 Za = -1.6153846153846154 H_scalar_s = -0.7338737797294408
Ra = 2.033333333333333 Za = -1.6153846153846154 H_scalar   = 0.2859156914897072
Ra = 2.033333333333333 Za = -1.6153846153846154 H_phi_t = -0.1726141067590692
Ra = 2.033333333333333 Za = -1.6153846153846154 H_phi_s = -0.08269480066879975
Ra = 2.033333333333333 Za = -1.6153846153846154 H_phi   = -0.25530890742786894
Ra = 2.3555555555555556 Za = -1.6153846153846154 rot_H_z = -0.021780812386889253
Ra = 2.3555555555555556 Za = -1.6153846153846154 rot_H_r = 0.38417737373578276
Ra = 2.3555555555555556 Za = -1.6153846153846154 H_scalar_t = 0.666235701443907
Ra = 2.3555555555555556 Za = -1.6153846153846154 H_scalar_s = -0.42424385669598474
Ra = 2.3555555555555556 Za = -1.6153846153846154 H_scalar   = 0.24199184474792224
Ra = 2.3555555555555556 Za = -1.6153846153846154 H_phi_t = -0.2411244461300339
Ra = 2.3555555555555556 Za = -1.6153846153846154 H_phi_s = 0.008218943975344839
Ra = 2.3555555555555556 Za = -1.6153846153846154 H_phi   = -0.23290550215468905
Ra = 2.6777777777777776 Za = -1.6153846153846154 rot_H_z = 0.0019080796117272453
Ra = 2.6777777777777776 Za = -1.6153846153846154 rot_H_r = 0.269159317740449
Ra = 2.6777777777777776 Za = -1.6153846153846154 H_scalar_t = 0.4693831818923848
Ra = 2.6777777777777776 Za = -1.6153846153846154 H_scalar_s = -0.2709593024746455
Ra = 2.6777777777777776 Za = -1.6153846153846154 H_scalar   = 0.1984238794177393
Ra = 2.6777777777777776 Za = -1.6153846153846154 H_phi_t = -0.2424376751622519
Ra = 2.6777777777777776 Za = -1.6153846153846154 H_phi_s = 0.03501973192626062
Ra = 2.6777777777777776 Za = -1.6153846153846154 H_phi   = -0.20741794323599128
Ra = 3.0 Za = -1.6153846153846154 rot_H_z = 0.013829640335318642
Ra = 3.0 Za = -1.6153846153846154 rot_H_r = 0.19358108980666694
Ra = 3.0 Za = -1.6153846153846154 H_scalar_t = 0.3440049312508012
Ra = 3.0 Za = -1.6153846153846154 H_scalar_s = -0.1832034122186288
Ra = 3.0 Za = -1.6153846153846154 H_scalar   = 0.16080151903217244
Ra = 3.0 Za = -1.6153846153846154 H_phi_t = -0.224636121817483
Ra = 3.0 Za = -1.6153846153846154 H_phi_s = 0.04214674440277899
Ra = 3.0 Za = -1.6153846153846154 H_phi   = -0.182489377414704
Ra = 0.1 Za = -1.4615384615384615 rot_H_z = -10.201282866029004
Ra = 0.1 Za = -1.4615384615384615 rot_H_r = 13.075802313323655
Ra = 0.1 Za = -1.4615384615384615 H_scalar_t = -55.01719637756053
Ra = 0.1 Za = -1.4615384615384615 H_scalar_s = 10.068107943803422
Ra = 0.1 Za = -1.4615384615384615 H_scalar   = -44.94908843375711
Ra = 0.1 Za = -1.4615384615384615 H_phi_t = -1.354163317603994
Ra = 0.1 Za = -1.4615384615384615 H_phi_s = 0.22079884742457137
Ra = 0.1 Za = -1.4615384615384615 H_phi   = -1.1333644701794225
Ra = 0.42222222222222217 Za = -1.4615384615384615 rot_H_z = -31.181049399605698

/usr3/articles/sagemath_docker_build/sage-9.1/local/lib/python3.7/site-packages/sage/repl/ipython_kernel/__main__.py:35: IntegrationWarning: The algorithm does not converge.  Roundoff error is detected
  in the extrapolation table.  It is assumed that the requested tolerance
  cannot be achieved, and that the returned result (if full_output = 1) is 
  the best which can be obtained.
/usr3/articles/sagemath_docker_build/sage-9.1/local/lib/python3.7/site-packages/sage/repl/ipython_kernel/__main__.py:35: IntegrationWarning: The maximum number of subdivisions (50) has been achieved.
  If increasing the limit yields no improvement it is advised to analyze 
  the integrand in order to determine the difficulties.  If the position of a 
  local difficulty can be determined (singularity, discontinuity) one will 
  probably gain from splitting up the interval and calling the integrator 
  on the subranges.  Perhaps a special-purpose integrator should be used.

Ra = 0.42222222222222217 Za = -1.4615384615384615 rot_H_r = 8.068616509061346
Ra = 0.42222222222222217 Za = -1.4615384615384615 H_scalar_t = -15.67663969599365
Ra = 0.42222222222222217 Za = -1.4615384615384615 H_scalar_s = 9.956408047185985
Ra = 0.42222222222222217 Za = -1.4615384615384615 H_scalar   = -5.720231648807665
Ra = 0.42222222222222217 Za = -1.4615384615384615 H_phi_t = -6.444824451621657
Ra = 0.42222222222222217 Za = -1.4615384615384615 H_phi_s = -7.037076922882557
Ra = 0.42222222222222217 Za = -1.4615384615384615 H_phi   = -13.481901374504215
Ra = 0.7444444444444444 Za = -1.4615384615384615 rot_H_z = -17.36673026752861

/usr3/articles/sagemath_docker_build/sage-9.1/local/lib/python3.7/site-packages/sage/repl/ipython_kernel/__main__.py:35: IntegrationWarning: The integral is probably divergent, or slowly convergent.

Ra = 0.7444444444444444 Za = -1.4615384615384615 rot_H_r = 4.605503357714775
Ra = 0.7444444444444444 Za = -1.4615384615384615 H_scalar_t = -7.114200818698563
Ra = 0.7444444444444444 Za = -1.4615384615384615 H_scalar_s = 5.7348818414310925
Ra = 0.7444444444444444 Za = -1.4615384615384615 H_scalar   = -1.37931897726747
Ra = 0.7444444444444444 Za = -1.4615384615384615 H_phi_t = -6.658732788674512
Ra = 0.7444444444444444 Za = -1.4615384615384615 H_phi_s = -6.625676221633034
Ra = 0.7444444444444444 Za = -1.4615384615384615 H_phi   = -13.284409010307545
Ra = 1.0666666666666667 Za = -1.4615384615384615 rot_H_z = -11.991718059264787
Ra = 1.0666666666666667 Za = -1.4615384615384615 rot_H_r = 2.766635334474822
Ra = 1.0666666666666667 Za = -1.4615384615384615 H_scalar_t = -2.7435401790512
Ra = 1.0666666666666667 Za = -1.4615384615384615 H_scalar_s = 2.5889980804046
Ra = 1.0666666666666667 Za = -1.4615384615384615 H_scalar   = -0.15454209864659996
Ra = 1.0666666666666667 Za = -1.4615384615384615 H_phi_t = -6.563971407164233
Ra = 1.0666666666666667 Za = -1.4615384615384615 H_phi_s = -6.591596997954092
Ra = 1.0666666666666667 Za = -1.4615384615384615 H_phi   = -13.155568405118325
Ra = 1.3888888888888888 Za = -1.4615384615384615 rot_H_z = -9.114996219857337
Ra = 1.3888888888888888 Za = -1.4615384615384615 rot_H_r = 1.6552916104013171
Ra = 1.3888888888888888 Za = -1.4615384615384615 H_scalar_t = 1.859031585358056
Ra = 1.3888888888888888 Za = -1.4615384615384615 H_scalar_s = -1.6098664011547665
Ra = 1.3888888888888888 Za = -1.4615384615384615 H_scalar   = 0.24916518420328937
Ra = 1.3888888888888888 Za = -1.4615384615384615 H_phi_t = -6.011444856395675
Ra = 1.3888888888888888 Za = -1.4615384615384615 H_phi_s = -7.044655827787168
Ra = 1.3888888888888888 Za = -1.4615384615384615 H_phi   = -13.056100684182844
Ra = 1.711111111111111 Za = -1.4615384615384615 rot_H_z = -0.01972529998123962
Ra = 1.711111111111111 Za = -1.4615384615384615 rot_H_r = 0.9255868523680668
Ra = 1.711111111111111 Za = -1.4615384615384615 H_scalar_t = 2.058423895895593
Ra = 1.711111111111111 Za = -1.4615384615384615 H_scalar_s = -1.735540124053852
Ra = 1.711111111111111 Za = -1.4615384615384615 H_scalar   = 0.3228837718417412
Ra = 1.711111111111111 Za = -1.4615384615384615 H_phi_t = -0.734701643130579
Ra = 1.711111111111111 Za = -1.4615384615384615 H_phi_s = 0.32812581352540704
Ra = 1.711111111111111 Za = -1.4615384615384615 H_phi   = -0.4065758296051719
Ra = 2.033333333333333 Za = -1.4615384615384615 rot_H_z = 0.005884899223147583
Ra = 2.033333333333333 Za = -1.4615384615384615 rot_H_r = 0.577724252073631
Ra = 2.033333333333333 Za = -1.4615384615384615 H_scalar_t = 1.05258803220609
Ra = 2.033333333333333 Za = -1.4615384615384615 H_scalar_s = -0.7618424460340152
Ra = 2.033333333333333 Za = -1.4615384615384615 H_scalar   = 0.2907455861720749
Ra = 2.033333333333333 Za = -1.4615384615384615 H_phi_t = -0.4942231361442806
Ra = 2.033333333333333 Za = -1.4615384615384615 H_phi_s = 0.15025922635224465
Ra = 2.033333333333333 Za = -1.4615384615384615 H_phi   = -0.34396390979203595
Ra = 2.3555555555555556 Za = -1.4615384615384615 rot_H_z = 0.02261590663801588
Ra = 2.3555555555555556 Za = -1.4615384615384615 rot_H_r = 0.38591404976984345
Ra = 2.3555555555555556 Za = -1.4615384615384615 H_scalar_t = 0.6749799153776593
Ra = 2.3555555555555556 Za = -1.4615384615384615 H_scalar_s = -0.4330289858398164
Ra = 2.3555555555555556 Za = -1.4615384615384615 H_scalar   = 0.24195092953784292
Ra = 2.3555555555555556 Za = -1.4615384615384615 H_phi_t = -0.4027307986872135
Ra = 2.3555555555555556 Za = -1.4615384615384615 H_phi_s = 0.11040474598218708
Ra = 2.3555555555555556 Za = -1.4615384615384615 H_phi   = -0.29232605270502643
Ra = 2.6777777777777776 Za = -1.4615384615384615 rot_H_z = 0.030899916156495726
Ra = 2.6777777777777776 Za = -1.4615384615384615 rot_H_r = 0.2681342780634113
Ra = 2.6777777777777776 Za = -1.4615384615384615 H_scalar_t = 0.469780783149227
Ra = 2.6777777777777776 Za = -1.4615384615384615 H_scalar_s = -0.2738688254258945
Ra = 2.6777777777777776 Za = -1.4615384615384615 H_scalar   = 0.19591195772333247
Ra = 2.6777777777777776 Za = -1.4615384615384615 H_phi_t = -0.338797599336472
Ra = 2.6777777777777776 Za = -1.4615384615384615 H_phi_s = 0.08995200772828804
Ra = 2.6777777777777776 Za = -1.4615384615384615 H_phi   = -0.24884559160818398
Ra = 3.0 Za = -1.4615384615384615 rot_H_z = 0.033682153791729876
Ra = 3.0 Za = -1.4615384615384615 rot_H_r = 0.19134719737689743
Ra = 3.0 Za = -1.4615384615384615 H_scalar_t = 0.3407614157936961
Ra = 3.0 Za = -1.4615384615384615 H_scalar_s = -0.18360864246685382
Ra = 3.0 Za = -1.4615384615384615 H_scalar   = 0.1571527733268423
Ra = 3.0 Za = -1.4615384615384615 H_phi_t = -0.2872739389029697
Ra = 3.0 Za = -1.4615384615384615 H_phi_s = 0.07511694812124836
Ra = 3.0 Za = -1.4615384615384615 H_phi   = -0.21215699078172134
Ra = 0.1 Za = -1.3076923076923075 rot_H_z = -23.62646698430058
Ra = 0.1 Za = -1.3076923076923075 rot_H_r = 7.796730027903455
Ra = 0.1 Za = -1.3076923076923075 H_scalar_t = -50.68531347697058
Ra = 0.1 Za = -1.3076923076923075 H_scalar_s = 8.415889579600796
Ra = 0.1 Za = -1.3076923076923075 H_scalar   = -42.269423897369784
Ra = 0.1 Za = -1.3076923076923075 H_phi_t = -3.439267423247474
Ra = 0.1 Za = -1.3076923076923075 H_phi_s = 0.6569980294907668
Ra = 0.1 Za = -1.3076923076923075 H_phi   = -2.782269393756707
Ra = 0.42222222222222217 Za = -1.3076923076923075 rot_H_z = -32.03042280244806
Ra = 0.42222222222222217 Za = -1.3076923076923075 rot_H_r = 4.693238477792437
Ra = 0.42222222222222217 Za = -1.3076923076923075 H_scalar_t = -12.78747189684216
Ra = 0.42222222222222217 Za = -1.3076923076923075 H_scalar_s = 7.352669001465515
Ra = 0.42222222222222217 Za = -1.3076923076923075 H_scalar   = -5.434802895376644
Ra = 0.42222222222222217 Za = -1.3076923076923075 H_phi_t = -5.369837646598258
Ra = 0.42222222222222217 Za = -1.3076923076923075 H_phi_s = -9.069685399982488
Ra = 0.42222222222222217 Za = -1.3076923076923075 H_phi   = -14.439523046580746
Ra = 0.7444444444444444 Za = -1.3076923076923075 rot_H_z = -17.278839030402995
Ra = 0.7444444444444444 Za = -1.3076923076923075 rot_H_r = 3.129337210455688
Ra = 0.7444444444444444 Za = -1.3076923076923075 H_scalar_t = -5.842763729437323
Ra = 0.7444444444444444 Za = -1.3076923076923075 H_scalar_s = 4.528338379100861
Ra = 0.7444444444444444 Za = -1.3076923076923075 H_scalar   = -1.314425350336462
Ra = 0.7444444444444444 Za = -1.3076923076923075 H_phi_t = -5.821357991371777
Ra = 0.7444444444444444 Za = -1.3076923076923075 H_phi_s = -8.053429648232774
Ra = 0.7444444444444444 Za = -1.3076923076923075 H_phi   = -13.87478763960455
Ra = 1.0666666666666667 Za = -1.3076923076923075 rot_H_z = -11.800054336664262
Ra = 1.0666666666666667 Za = -1.3076923076923075 rot_H_r = 2.0431760401225247
Ra = 1.0666666666666667 Za = -1.3076923076923075 H_scalar_t = -2.064606201474587
Ra = 1.0666666666666667 Za = -1.3076923076923075 H_scalar_s = 1.9261449614302735
Ra = 1.0666666666666667 Za = -1.3076923076923075 H_scalar   = -0.1384612400443137
Ra = 1.0666666666666667 Za = -1.3076923076923075 H_phi_t = -5.522952028342931
Ra = 1.0666666666666667 Za = -1.3076923076923075 H_phi_s = -8.000605369094346
Ra = 1.0666666666666667 Za = -1.3076923076923075 H_phi   = -13.523557397437276
Ra = 1.3888888888888888 Za = -1.3076923076923075 rot_H_z = -8.924834880398713
Ra = 1.3888888888888888 Za = -1.3076923076923075 rot_H_r = 1.3133392390271243
Ra = 1.3888888888888888 Za = -1.3076923076923075 H_scalar_t = 1.0855812428931
Ra = 1.3888888888888888 Za = -1.3076923076923075 H_scalar_s = -0.8424650604962989
Ra = 1.3888888888888888 Za = -1.3076923076923075 H_scalar   = 0.2431161823968011
Ra = 1.3888888888888888 Za = -1.3076923076923075 H_phi_t = -4.197460405318922
Ra = 1.3888888888888888 Za = -1.3076923076923075 H_phi_s = -9.085513426672344
Ra = 1.3888888888888888 Za = -1.3076923076923075 H_phi   = -13.282973831991267
Ra = 1.711111111111111 Za = -1.3076923076923075 rot_H_z = 0.10890095908603081
Ra = 1.711111111111111 Za = -1.3076923076923075 rot_H_r = 0.8536507638798794
Ra = 1.711111111111111 Za = -1.3076923076923075 H_scalar_t = 1.61908102261041
Ra = 1.711111111111111 Za = -1.3076923076923075 H_scalar_s = -1.3036518510285857
Ra = 1.711111111111111 Za = -1.3076923076923075 H_scalar   = 0.31542917158182426
Ra = 1.711111111111111 Za = -1.3076923076923075 H_phi_t = -1.527963468085117
Ra = 1.711111111111111 Za = -1.3076923076923075 H_phi_s = 0.9835257543656439
Ra = 1.711111111111111 Za = -1.3076923076923075 H_phi   = -0.5444377137194731
Ra = 2.033333333333333 Za = -1.3076923076923075 rot_H_z = 0.07796718903412003
Ra = 2.033333333333333 Za = -1.3076923076923075 rot_H_r = 0.5542818449988869
Ra = 2.033333333333333 Za = -1.3076923076923075 H_scalar_t = 0.9841485661425625
Ra = 2.033333333333333 Za = -1.3076923076923075 H_scalar_s = -0.6999502317631945
Ra = 2.033333333333333 Za = -1.3076923076923075 H_scalar   = 0.28419833437936803
Ra = 2.033333333333333 Za = -1.3076923076923075 H_phi_t = -0.8003850597305109
Ra = 2.033333333333333 Za = -1.3076923076923075 H_phi_s = 0.3689609630896262
Ra = 2.033333333333333 Za = -1.3076923076923075 H_phi   = -0.43142409664088466
Ra = 2.3555555555555556 Za = -1.3076923076923075 rot_H_z = 0.0669042887343052
Ra = 2.3555555555555556 Za = -1.3076923076923075 rot_H_r = 0.37342425723467865
Ra = 2.3555555555555556 Za = -1.3076923076923075 H_scalar_t = 0.6496243449194398
Ra = 2.3555555555555556 Za = -1.3076923076923075 H_scalar_s = -0.4145851744780078
Ra = 2.3555555555555556 Za = -1.3076923076923075 H_scalar   = 0.23503917044143197
Ra = 2.3555555555555556 Za = -1.3076923076923075 H_phi_t = -0.5613196831134905
Ra = 2.3555555555555556 Za = -1.3076923076923075 H_phi_s = 0.21040474784224195
Ra = 2.3555555555555556 Za = -1.3076923076923075 H_phi   = -0.3509149352712485
Ra = 2.6777777777777776 Za = -1.3076923076923075 rot_H_z = 0.059997182013623696
Ra = 2.6777777777777776 Za = -1.3076923076923075 rot_H_r = 0.25948348156610546
Ra = 2.6777777777777776 Za = -1.3076923076923075 H_scalar_t = 0.4542753194174338
Ra = 2.6777777777777776 Za = -1.3076923076923075 H_scalar_s = -0.2653644151675807
Ra = 2.6777777777777776 Za = -1.3076923076923075 H_scalar   = 0.18891090424985313
Ra = 2.6777777777777776 Za = -1.3076923076923075 H_phi_t = -0.4340479809105864
Ra = 2.6777777777777776 Za = -1.3076923076923075 H_phi_s = 0.14451945380267261
Ra = 2.6777777777777776 Za = -1.3076923076923075 H_phi   = -0.28952852710791377
Ra = 3.0 Za = -1.3076923076923075 rot_H_z = 0.05359574523724768
Ra = 3.0 Za = -1.3076923076923075 rot_H_r = 0.18457892323292846
Ra = 3.0 Za = -1.3076923076923075 H_scalar_t = 0.3286790543523898
Ra = 3.0 Za = -1.3076923076923075 H_scalar_s = -0.17824439328527208
Ra = 3.0 Za = -1.3076923076923075 H_scalar   = 0.15043466106711773
Ra = 3.0 Za = -1.3076923076923075 H_phi_t = -0.3491634753232628
Ra = 3.0 Za = -1.3076923076923075 H_phi_s = 0.10803105466030072
Ra = 3.0 Za = -1.3076923076923075 H_phi   = -0.2411324206629621
Ra = 0.1 Za = -1.1538461538461537 rot_H_z = -30.95833620453208
Ra = 0.1 Za = -1.1538461538461537 rot_H_r = 2.9243963797757493
Ra = 0.1 Za = -1.1538461538461537 H_scalar_t = -44.38695736082192
Ra = 0.1 Za = -1.1538461538461537 H_scalar_s = 6.386767614245838
Ra = 0.1 Za = -1.1538461538461537 H_scalar   = -38.000189746576076
Ra = 0.1 Za = -1.1538461538461537 H_phi_t = -4.175245156068298
Ra = 0.1 Za = -1.1538461538461537 H_phi_s = 0.6019421019743081
Ra = 0.1 Za = -1.1538461538461537 H_phi   = -3.57330305409399
Ra = 0.42222222222222217 Za = -1.1538461538461537 rot_H_z = -32.74620075770619
Ra = 0.42222222222222217 Za = -1.1538461538461537 rot_H_r = 2.5751051878949682
Ra = 0.42222222222222217 Za = -1.1538461538461537 H_scalar_t = -10.45655947428039
Ra = 0.42222222222222217 Za = -1.1538461538461537 H_scalar_s = 5.4269378715280805
Ra = 0.42222222222222217 Za = -1.1538461538461537 H_scalar   = -5.029621602752309
Ra = 0.42222222222222217 Za = -1.1538461538461537 H_phi_t = -4.89340358990882
Ra = 0.42222222222222217 Za = -1.1538461538461537 H_phi_s = -10.09385911204449
Ra = 0.42222222222222217 Za = -1.1538461538461537 H_phi   = -14.98726270195331
Ra = 0.7444444444444444 Za = -1.1538461538461537 rot_H_z = -17.371222736211706
Ra = 0.7444444444444444 Za = -1.1538461538461537 rot_H_r = 2.0192642252372988
Ra = 0.7444444444444444 Za = -1.1538461538461537 H_scalar_t = -4.759814640029563
Ra = 0.7444444444444444 Za = -1.1538461538461537 H_scalar_s = 3.5122997217378082
Ra = 0.7444444444444444 Za = -1.1538461538461537 H_scalar   = -1.2475149182917549
Ra = 0.7444444444444444 Za = -1.1538461538461537 H_phi_t = -5.103938471791852
Ra = 0.7444444444444444 Za = -1.1538461538461537 H_phi_s = -9.1623642077112
Ra = 0.7444444444444444 Za = -1.1538461538461537 H_phi   = -14.266302679503053
Ra = 1.0666666666666667 Za = -1.1538461538461537 rot_H_z = -11.723461662244834
Ra = 1.0666666666666667 Za = -1.1538461538461537 rot_H_r = 1.4695164762154427
Ra = 1.0666666666666667 Za = -1.1538461538461537 H_scalar_t = -1.654180224185588
Ra = 1.0666666666666667 Za = -1.1538461538461537 H_scalar_s = 1.5114573705548997
Ra = 1.0666666666666667 Za = -1.1538461538461537 H_scalar   = -0.14272285363068837
Ra = 1.0666666666666667 Za = -1.1538461538461537 H_phi_t = -4.687042047060928
Ra = 1.0666666666666667 Za = -1.1538461538461537 H_phi_s = -9.104830233141984
Ra = 1.0666666666666667 Za = -1.1538461538461537 H_phi   = -13.791872280202913
Ra = 1.3888888888888888 Za = -1.1538461538461537 rot_H_z = -8.83764492157138
Ra = 1.3888888888888888 Za = -1.1538461538461537 rot_H_r = 1.0389588046467937
Ra = 1.3888888888888888 Za = -1.1538461538461537 H_scalar_t = 0.5063336000758087
Ra = 1.3888888888888888 Za = -1.1538461538461537 H_scalar_s = -0.2897845390017473
Ra = 1.3888888888888888 Za = -1.1538461538461537 H_scalar   = 0.21654906107406147
Ra = 1.3888888888888888 Za = -1.1538461538461537 H_phi_t = -3.495131425996281
Ra = 1.3888888888888888 Za = -1.1538461538461537 H_phi_s = -9.96825369276819
Ra = 1.3888888888888888 Za = -1.1538461538461537 H_phi   = -13.46338511876447
Ra = 1.711111111111111 Za = -1.1538461538461537 rot_H_z = 0.1904391795530258
Ra = 1.711111111111111 Za = -1.1538461538461537 rot_H_r = 0.7361074687049407
Ra = 1.711111111111111 Za = -1.1538461538461537 H_scalar_t = 1.121113591667997
Ra = 1.711111111111111 Za = -1.1538461538461537 H_scalar_s = -0.8292583584633997
Ra = 1.711111111111111 Za = -1.1538461538461537 H_scalar   = 0.2918552332045974
Ra = 1.711111111111111 Za = -1.1538461538461537 H_phi_t = -1.843800830268872
Ra = 1.711111111111111 Za = -1.1538461538461537 H_phi_s = 1.1768180742856202
Ra = 1.711111111111111 Za = -1.1538461538461537 H_phi   = -0.6669827559832517
Ra = 2.033333333333333 Za = -1.1538461538461537 rot_H_z = 0.13864322046432198
Ra = 2.033333333333333 Za = -1.1538461538461537 rot_H_r = 0.5055882219478907
Ra = 2.033333333333333 Za = -1.1538461538461537 H_scalar_t = 0.8486704215628885
Ra = 2.033333333333333 Za = -1.1538461538461537 H_scalar_s = -0.5813177993680356
Ra = 2.033333333333333 Za = -1.1538461538461537 H_scalar   = 0.2673526221948529
Ra = 2.033333333333333 Za = -1.1538461538461537 H_phi_t = -1.039952963675691
Ra = 2.033333333333333 Za = -1.1538461538461537 H_phi_s = 0.5267415613182713
Ra = 2.033333333333333 Za = -1.1538461538461537 H_phi   = -0.5132114023574197
Ra = 2.3555555555555556 Za = -1.1538461538461537 rot_H_z = 0.10761718673831272
Ra = 2.3555555555555556 Za = -1.1538461538461537 rot_H_r = 0.348055007882894
Ra = 2.3555555555555556 Za = -1.1538461538461537 H_scalar_t = 0.5953911650919022
Ra = 2.3555555555555556 Za = -1.1538461538461537 H_scalar_s = -0.3738406446140363
Ra = 2.3555555555555556 Za = -1.1538461538461537 H_scalar   = 0.22155052047786583
Ra = 2.3555555555555556 Za = -1.1538461538461537 H_phi_t = -0.7033689302437777
Ra = 2.3555555555555556 Za = -1.1538461538461537 H_phi_s = 0.2968060860741404
Ra = 2.3555555555555556 Za = -1.1538461538461537 H_phi   = -0.4065628441696373
Ra = 2.6777777777777776 Za = -1.1538461538461537 rot_H_z = 0.08766197111463447
Ra = 2.6777777777777776 Za = -1.1538461538461537 rot_H_r = 0.2435717647484491
Ra = 2.6777777777777776 Za = -1.1538461538461537 H_scalar_t = 0.4240927217897343
Ra = 2.6777777777777776 Za = -1.1538461538461537 H_scalar_s = -0.2465674290339246
Ra = 2.6777777777777776 Za = -1.1538461538461537 H_scalar   = 0.1775252927558097
Ra = 2.6777777777777776 Za = -1.1538461538461537 H_phi_t = -0.5231777573883644
Ra = 2.6777777777777776 Za = -1.1538461538461537 H_phi_s = 0.1948644120723979
Ra = 2.6777777777777776 Za = -1.1538461538461537 H_phi   = -0.32831334531596645
Ra = 3.0 Za = -1.1538461538461537 rot_H_z = 0.07277745194459628
Ra = 3.0 Za = -1.1538461538461537 rot_H_r = 0.17339038970900433
Ra = 3.0 Za = -1.1538461538461537 H_scalar_t = 0.308117332608582
Ra = 3.0 Za = -1.1538461538461537 H_scalar_s = -0.16741785958897126
Ra = 3.0 Za = -1.1538461538461537 H_scalar   = 0.14069947301961072
Ra = 3.0 Za = -1.1538461538461537 H_phi_t = -0.4079906450124913
Ra = 3.0 Za = -1.1538461538461537 H_phi_s = 0.13926724289531478
Ra = 3.0 Za = -1.1538461538461537 H_phi   = -0.26872340211717655
Ra = 0.1 Za = -1.0 rot_H_z = -33.933459071564904
Ra = 0.1 Za = -1.0 rot_H_r = 0.47238997176672715
Ra = 0.1 Za = -1.0 H_scalar_t = -37.71116299637264
Ra = 0.1 Za = -1.0 H_scalar_s = 4.744296214351685
Ra = 0.1 Za = -1.0 H_scalar   = -32.96686678202096
Ra = 0.1 Za = -1.0 H_phi_t = -4.275821592833589
Ra = 0.1 Za = -1.0 H_phi_s = 0.4663908325757502
Ra = 0.1 Za = -1.0 H_phi   = -3.8094307602578388
Ra = 0.42222222222222217 Za = -1.0 rot_H_z = -33.3592555007403
Ra = 0.42222222222222217 Za = -1.0 rot_H_r = 1.2209678103094777
Ra = 0.42222222222222217 Za = -1.0 H_scalar_t = -8.555688153886557
Ra = 0.42222222222222217 Za = -1.0 H_scalar_s = 4.033813107007858
Ra = 0.42222222222222217 Za = -1.0 H_scalar   = -4.521875046878699
Ra = 0.42222222222222217 Za = -1.0 H_phi_t = -4.52538086207593
Ra = 0.42222222222222217 Za = -1.0 H_phi_s = -10.74553566257185
Ra = 0.42222222222222217 Za = -1.0 H_phi   = -15.270916524647781
Ra = 0.7444444444444444 Za = -1.0 rot_H_z = -17.542204288619338
Ra = 0.7444444444444444 Za = -1.0 rot_H_r = 1.2325093225923442
Ra = 0.7444444444444444 Za = -1.0 H_scalar_t = -3.853897671565947
Ra = 0.7444444444444444 Za = -1.0 H_scalar_s = 2.694510293228002
Ra = 0.7444444444444444 Za = -1.0 H_scalar   = -1.1593873783379451
Ra = 0.7444444444444444 Za = -1.0 H_phi_t = -4.526430252099652
Ra = 0.7444444444444444 Za = -1.0 H_phi_s = -9.986291443985843
Ra = 0.7444444444444444 Za = -1.0 H_phi   = -14.512721696085496
Ra = 1.0666666666666667 Za = -1.0 rot_H_z = -11.730299639131836
Ra = 1.0666666666666667 Za = -1.0 rot_H_r = 1.0294463300011065
Ra = 1.0666666666666667 Za = -1.0 H_scalar_t = -1.371611148406298
Ra = 1.0666666666666667 Za = -1.0 H_scalar_s = 1.2197359751606895
Ra = 1.0666666666666667 Za = -1.0 H_scalar   = -0.1518751732456085
Ra = 1.0666666666666667 Za = -1.0 H_phi_t = -4.068005042215927
Ra = 1.0666666666666667 Za = -1.0 H_phi_s = -9.914520733433614
Ra = 1.0666666666666667 Za = -1.0 H_phi   = -13.982525775649542
Ra = 1.3888888888888888 Za = -1.0 rot_H_z = -8.807735683910842
Ra = 1.3888888888888888 Za = -1.0 rot_H_r = 0.8041842505551196
Ra = 1.3888888888888888 Za = -1.0 H_scalar_t = 0.1946114532098388
Ra = 1.3888888888888888 Za = -1.0 H_scalar_s = -0.013249285696706803
Ra = 1.3888888888888888 Za = -1.0 H_scalar   = 0.181362167513132
Ra = 1.3888888888888888 Za = -1.0 H_phi_t = -3.099678031902088
Ra = 1.3888888888888888 Za = -1.0 H_phi_s = -10.505010796389318
Ra = 1.3888888888888888 Za = -1.0 H_phi   = -13.604688828291405
Ra = 1.711111111111111 Za = -1.0 rot_H_z = 0.23650092573376447
Ra = 1.711111111111111 Za = -1.0 rot_H_r = 0.6105064251359961
Ra = 1.711111111111111 Za = -1.0 H_scalar_t = 0.7595537963306607
Ra = 1.711111111111111 Za = -1.0 H_scalar_s = -0.5009088720636865
Ra = 1.711111111111111 Za = -1.0 H_scalar   = 0.25864492426697416
Ra = 1.711111111111111 Za = -1.0 H_phi_t = -1.940245109629987
Ra = 1.711111111111111 Za = -1.0 H_phi_s = 1.169689063145495
Ra = 1.711111111111111 Za = -1.0 H_phi   = -0.770556046484492
Ra = 2.033333333333333 Za = -1.0 rot_H_z = 0.18436901412943119
Ra = 2.033333333333333 Za = -1.0 rot_H_r = 0.44178064219817614
Ra = 2.033333333333333 Za = -1.0 H_scalar_t = 0.6918728573783914
Ra = 2.033333333333333 Za = -1.0 H_scalar_s = -0.44955943331695347
Ra = 2.033333333333333 Za = -1.0 H_scalar   = 0.24231342406143797
Ra = 2.033333333333333 Za = -1.0 H_phi_t = -1.203436692334879
Ra = 2.033333333333333 Za = -1.0 H_phi_s = 0.6172180622233459
Ra = 2.033333333333333 Za = -1.0 H_phi   = -0.5862186301115331
Ra = 2.3555555555555556 Za = -1.0 rot_H_z = 0.1424588720077652
Ra = 2.3555555555555556 Za = -1.0 rot_H_r = 0.31256960971593994
Ra = 2.3555555555555556 Za = -1.0 H_scalar_t = 0.5219012265204747
Ra = 2.3555555555555556 Za = -1.0 H_scalar_s = -0.31967145747719683
Ra = 2.3555555555555556 Za = -1.0 H_scalar   = 0.20222976904327783
Ra = 2.3555555555555556 Za = -1.0 H_phi_t = -0.821016271143203
Ra = 2.3555555555555556 Za = -1.0 H_phi_s = 0.36352684074529984
Ra = 2.3555555555555556 Za = -1.0 H_phi   = -0.45748943039790313
Ra = 2.6777777777777776 Za = -1.0 rot_H_z = 0.11265988387987685
Ra = 2.6777777777777776 Za = -1.0 rot_H_r = 0.22131305824230169
Ra = 2.6777777777777776 Za = -1.0 H_scalar_t = 0.3819125766739295
Ra = 2.6777777777777776 Za = -1.0 H_scalar_s = -0.21983705290851518
Ra = 2.6777777777777776 Za = -1.0 H_scalar   = 0.16207552376541434
Ra = 2.6777777777777776 Za = -1.0 H_phi_t = -0.6023724246275025
Ra = 2.6777777777777776 Za = -1.0 H_phi_s = 0.23822474511240177
Ra = 2.6777777777777776 Za = -1.0 H_phi   = -0.36414767951510074
Ra = 3.0 Za = -1.0 rot_H_z = 0.09052756812976975
Ra = 3.0 Za = -1.0 rot_H_r = 0.15813900141779824
Ra = 3.0 Za = -1.0 H_scalar_t = 0.2800020007617741
Ra = 3.0 Za = -1.0 H_scalar_s = -0.1518867211932956
Ra = 3.0 Za = -1.0 H_scalar   = 0.1281152795684785
Ra = 3.0 Za = -1.0 H_phi_t = -0.4617698170536866
Ra = 3.0 Za = -1.0 H_phi_s = 0.16749515698956596
Ra = 3.0 Za = -1.0 H_phi   = -0.2942746600641206
Ra = 0.1 Za = -0.8461538461538458 rot_H_z = -34.53735368816662
Ra = 0.1 Za = -0.8461538461538458 rot_H_r = -0.5437992488570673
Ra = 0.1 Za = -0.8461538461538458 H_scalar_t = -31.17465955853826
Ra = 0.1 Za = -0.8461538461538458 H_scalar_s = 3.49529079174107
Ra = 0.1 Za = -0.8461538461538458 H_scalar   = -27.67936876679719
Ra = 0.1 Za = -0.8461538461538458 H_phi_t = -4.145691036088498
Ra = 0.1 Za = -0.8461538461538458 H_phi_s = 0.35427659224306907
Ra = 0.1 Za = -0.8461538461538458 H_phi   = -3.7914144438454285
Ra = 0.42222222222222217 Za = -0.8461538461538458 rot_H_z = -33.835736959913106
Ra = 0.42222222222222217 Za = -0.8461538461538458 rot_H_r = 0.42201976800922036
Ra = 0.42222222222222217 Za = -0.8461538461538458 H_scalar_t = -6.921141182174114
Ra = 0.42222222222222217 Za = -0.8461538461538458 H_scalar_s = 2.991149222728862
Ra = 0.42222222222222217 Za = -0.8461538461538458 H_scalar   = -3.9299919594452515
Ra = 0.42222222222222217 Za = -0.8461538461538458 H_phi_t = -4.199058709300803
Ra = 0.42222222222222217 Za = -0.8461538461538458 H_phi_s = -11.19233574084516
Ra = 0.42222222222222217 Za = -0.8461538461538458 H_phi   = -15.391394450145963
Ra = 0.7444444444444444 Za = -0.8461538461538458 rot_H_z = -17.73478494877594
Ra = 0.7444444444444444 Za = -0.8461538461538458 rot_H_r = 0.7019114084569038
Ra = 0.7444444444444444 Za = -0.8461538461538458 H_scalar_t = -3.088900408925062
Ra = 0.7444444444444444 Za = -0.8461538461538458 H_scalar_s = 2.0461481883634924
Ra = 0.7444444444444444 Za = -0.8461538461538458 H_scalar   = -1.0427522205615696
Ra = 0.7444444444444444 Za = -0.8461538461538458 H_phi_t = -4.074529378250212
Ra = 0.7444444444444444 Za = -0.8461538461538458 H_phi_s = -10.584110448046289
Ra = 0.7444444444444444 Za = -0.8461538461538458 H_phi   = -14.6586398262965
Ra = 1.0666666666666667 Za = -0.8461538461538458 rot_H_z = -11.785049122196657
Ra = 1.0666666666666667 Za = -0.8461538461538458 rot_H_r = 0.6994087066601957
Ra = 1.0666666666666667 Za = -0.8461538461538458 H_scalar_t = -1.139326692034337
Ra = 1.0666666666666667 Za = -0.8461538461538458 H_scalar_s = 0.9834542211273614
Ra = 1.0666666666666667 Za = -0.8461538461538458 H_scalar   = -0.15587247090697565
Ra = 1.0666666666666667 Za = -0.8461538461538458 H_phi_t = -3.619543125532361
Ra = 1.0666666666666667 Za = -0.8461538461538458 H_phi_s = -10.494768258766978
Ra = 1.0666666666666667 Za = -0.8461538461538458 H_phi   = -14.11431138429934
Ra = 1.3888888888888888 Za = -0.8461538461538458 rot_H_z = -8.811519330994047
Ra = 1.3888888888888888 Za = -0.8461538461538458 rot_H_r = 0.6065606983192255
Ra = 1.3888888888888888 Za = -0.8461538461538458 H_scalar_t = 0.02960914544204818
Ra = 1.3888888888888888 Za = -0.8461538461538458 H_scalar_s = 0.11479401993162952
Ra = 1.3888888888888888 Za = -0.8461538461538458 H_scalar   = 0.1444031653736777
Ra = 1.3888888888888888 Za = -0.8461538461538458 H_phi_t = -2.834016372542913
Ra = 1.3888888888888888 Za = -0.8461538461538458 H_phi_s = -10.87872320853871
Ra = 1.3888888888888888 Za = -0.8461538461538458 H_phi   = -13.712739581081625
Ra = 1.711111111111111 Za = -0.8461538461538458 rot_H_z = 0.25900811772725874
Ra = 1.711111111111111 Za = -0.8461538461538458 rot_H_r = 0.49019976787133773
Ra = 1.711111111111111 Za = -0.8461538461538458 H_scalar_t = 0.5116608015525066
Ra = 1.711111111111111 Za = -0.8461538461538458 H_scalar_s = -0.2913728519844716
Ra = 1.711111111111111 Za = -0.8461538461538458 H_scalar   = 0.220287949568035
Ra = 1.711111111111111 Za = -0.8461538461538458 H_phi_t = -1.953341593385184
Ra = 1.711111111111111 Za = -0.8461538461538458 H_phi_s = 1.0982266631502204
Ra = 1.711111111111111 Za = -0.8461538461538458 H_phi   = -0.8551149302349637
Ra = 2.033333333333333 Za = -0.8461538461538458 rot_H_z = 0.21616084218386777
Ra = 2.033333333333333 Za = -0.8461538461538458 rot_H_r = 0.3712543111338703
Ra = 2.033333333333333 Za = -0.8461538461538458 H_scalar_t = 0.5422160871739994
Ra = 2.033333333333333 Za = -0.8461538461538458 H_scalar_s = -0.3308751377222596
Ra = 2.033333333333333 Za = -0.8461538461538458 H_scalar   = 0.21134094945173976
Ra = 2.033333333333333 Za = -0.8461538461538458 H_phi_t = -1.306224427623741
Ra = 2.033333333333333 Za = -0.8461538461538458 H_phi_s = 0.6574194931637614
Ra = 2.033333333333333 Za = -0.8461538461538458 H_phi   = -0.6488049344599796
Ra = 2.3555555555555556 Za = -0.8461538461538458 rot_H_z = 0.1705225194489175
Ra = 2.3555555555555556 Za = -0.8461538461538458 rot_H_r = 0.2701113352802048
Ra = 2.3555555555555556 Za = -0.8461538461538458 H_scalar_t = 0.4388537031639657
Ra = 2.3555555555555556 Za = -0.8461538461538458 H_scalar_s = -0.2607872480101945
Ra = 2.3555555555555556 Za = -0.8461538461538458 H_scalar   = 0.17806645515377123
Ra = 2.3555555555555556 Za = -0.8461538461538458 H_phi_t = -0.9125730743983929
Ra = 2.3555555555555556 Za = -0.8461538461538458 H_phi_s = 0.4101917796934291
Ra = 2.3555555555555556 Za = -0.8461538461538458 H_phi   = -0.5023812947049637
Ra = 2.6777777777777776 Za = -0.8461538461538458 rot_H_z = 0.13418991950015852
Ra = 2.6777777777777776 Za = -0.8461538461538458 rot_H_r = 0.1939252590402299
Ra = 2.6777777777777776 Za = -0.8461538461538458 H_scalar_t = 0.3310267180179802
Ra = 2.6777777777777776 Za = -0.8461538461538458 H_scalar_s = -0.18798741709726652
Ra = 2.6777777777777776 Za = -0.8461538461538458 H_scalar   = 0.1430393009207137
Ra = 2.6777777777777776 Za = -0.8461538461538458 H_phi_t = -0.6694421719802196
Ra = 2.6777777777777776 Za = -0.8461538461538458 H_phi_s = 0.2732956069533605
Ra = 2.6777777777777776 Za = -0.8461538461538458 H_phi   = -0.3961465650268591
Ra = 3.0 Za = -0.8461538461538458 rot_H_z = 0.10629702883139808
Ra = 3.0 Za = -0.8461538461538458 rot_H_r = 0.1393551182531092
Ra = 3.0 Za = -0.8461538461538458 H_scalar_t = 0.2456134124876787
Ra = 3.0 Za = -0.8461538461538458 H_scalar_s = -0.13266670618749155
Ra = 3.0 Za = -0.8461538461538458 H_scalar   = 0.11294670630018716
Ra = 3.0 Za = -0.8461538461538458 H_phi_t = -0.5090192382861067
Ra = 3.0 Za = -0.8461538461538458 H_phi_s = 0.19181898669902475
Ra = 3.0 Za = -0.8461538461538458 H_phi   = -0.317200251587082
Ra = 0.1 Za = -0.6923076923076921 rot_H_z = -34.05441297202201
Ra = 0.1 Za = -0.6923076923076921 rot_H_r = -0.8645615917186544
Ra = 0.1 Za = -0.6923076923076921 H_scalar_t = -24.93651583972185
Ra = 0.1 Za = -0.6923076923076921 H_scalar_s = 2.5417689689487877
Ra = 0.1 Za = -0.6923076923076921 H_scalar   = -22.394746870773062
Ra = 0.1 Za = -0.6923076923076921 H_phi_t = -3.950332810480116
Ra = 0.1 Za = -0.6923076923076921 H_phi_s = 0.2732108116644179
Ra = 0.1 Za = -0.6923076923076921 H_phi   = -3.677121998815698
Ra = 0.42222222222222217 Za = -0.6923076923076921 rot_H_z = -34.17061040497771
Ra = 0.42222222222222217 Za = -0.6923076923076921 rot_H_r = 0.0013785262000156617
Ra = 0.42222222222222217 Za = -0.6923076923076921 H_scalar_t = -5.465927760914229
Ra = 0.42222222222222217 Za = -0.6923076923076921 H_scalar_s = 2.1900573391290856
Ra = 0.42222222222222217 Za = -0.6923076923076921 H_scalar   = -3.2758704217851435
Ra = 0.42222222222222217 Za = -0.6923076923076921 H_phi_t = -3.916674859778129
Ra = 0.42222222222222217 Za = -0.6923076923076921 H_phi_s = -11.50341954803349
Ra = 0.42222222222222217 Za = -0.6923076923076921 H_phi   = -15.420094407811618
Ra = 0.7444444444444444 Za = -0.6923076923076921 rot_H_z = -17.91637584800134
Ra = 0.7444444444444444 Za = -0.6923076923076921 rot_H_r = 0.3626168849172886
Ra = 0.7444444444444444 Za = -0.6923076923076921 H_scalar_t = -2.424898740823777
Ra = 0.7444444444444444 Za = -0.6923076923076921 H_scalar_s = 1.5278722933765756
Ra = 0.7444444444444444 Za = -0.6923076923076921 H_scalar   = -0.8970264474472016
Ra = 0.7444444444444444 Za = -0.6923076923076921 H_phi_t = -3.727811946755595
Ra = 0.7444444444444444 Za = -0.6923076923076921 H_phi_s = -11.010587987284097
Ra = 0.7444444444444444 Za = -0.6923076923076921 H_phi   = -14.738399934039691
Ra = 1.0666666666666667 Za = -0.6923076923076921 rot_H_z = -11.859760562803553
Ra = 1.0666666666666667 Za = -0.6923076923076921 rot_H_r = 0.46096250483721923
Ra = 1.0666666666666667 Za = -0.6923076923076921 H_scalar_t = -0.925379728149386
Ra = 1.0666666666666667 Za = -0.6923076923076921 H_scalar_s = 0.7757669938491405
Ra = 1.0666666666666667 Za = -0.6923076923076921 H_scalar   = -0.14961273430024546
Ra = 1.0666666666666667 Za = -0.6923076923076921 H_phi_t = -3.295959332375038
Ra = 1.0666666666666667 Za = -0.6923076923076921 H_phi_s = -10.906667044432021
Ra = 1.0666666666666667 Za = -0.6923076923076921 H_phi   = -14.202626376807059
Ra = 1.3888888888888888 Za = -0.6923076923076921 rot_H_z = -8.833338909123523
Ra = 1.3888888888888888 Za = -0.6923076923076921 rot_H_r = 0.4437689760546515
Ra = 1.3888888888888888 Za = -0.6923076923076921 H_scalar_t = -0.05057225797180206
Ra = 1.3888888888888888 Za = -0.6923076923076921 H_scalar_s = 0.1601543604414415
Ra = 1.3888888888888888 Za = -0.6923076923076921 H_scalar   = 0.10958210246963943
Ra = 1.3888888888888888 Za = -0.6923076923076921 H_phi_t = -2.643834282937513
Ra = 1.3888888888888888 Za = -0.6923076923076921 H_phi_s = -11.149283712406362
Ra = 1.3888888888888888 Za = -0.6923076923076921 H_phi   = -13.793117995343875
Ra = 1.711111111111111 Za = -0.6923076923076921 rot_H_z = 0.26653777710886994
Ra = 1.711111111111111 Za = -0.6923076923076921 rot_H_r = 0.3800455663217424
Ra = 1.711111111111111 Za = -0.6923076923076921 H_scalar_t = 0.3413219797039015
Ra = 1.711111111111111 Za = -0.6923076923076921 H_scalar_s = -0.16160730417872915
Ra = 1.711111111111111 Za = -0.6923076923076921 H_scalar   = 0.17971467552517234
Ra = 1.711111111111111 Za = -0.6923076923076921 H_phi_t = -1.935872031993092
Ra = 1.711111111111111 Za = -0.6923076923076921 H_phi_s = 1.0139587208966887
Ra = 1.711111111111111 Za = -0.6923076923076921 H_phi   = -0.9219133110964033
Ra = 2.033333333333333 Za = -0.6923076923076921 rot_H_z = 0.2368055246902251
Ra = 2.033333333333333 Za = -0.6923076923076921 rot_H_r = 0.2993302267028515
Ra = 2.033333333333333 Za = -0.6923076923076921 H_scalar_t = 0.4104691073778381
Ra = 2.033333333333333 Za = -0.6923076923076921 H_scalar_s = -0.23409486795254564
Ra = 2.033333333333333 Za = -0.6923076923076921 H_scalar   = 0.17637423942529246
Ra = 2.033333333333333 Za = -0.6923076923076921 H_phi_t = -1.367610182346961
Ra = 2.033333333333333 Za = -0.6923076923076921 H_phi_s = 0.6672268548515108
Ra = 2.033333333333333 Za = -0.6923076923076921 H_phi   = -0.7003833274954503
Ra = 2.3555555555555556 Za = -0.6923076923076921 rot_H_z = 0.19196508670438828
Ra = 2.3555555555555556 Za = -0.6923076923076921 rot_H_r = 0.2234319518632768
Ra = 2.3555555555555556 Za = -0.6923076923076921 H_scalar_t = 0.353397615241893
Ra = 2.3555555555555556 Za = -0.6923076923076921 H_scalar_s = -0.2032957932600935
Ra = 2.3555555555555556 Za = -0.6923076923076921 H_scalar   = 0.1501018219817995
Ra = 2.3555555555555556 Za = -0.6923076923076921 H_phi_t = -0.9804000695477117
Ra = 2.3555555555555556 Za = -0.6923076923076921 H_phi_s = 0.4400146341293545
Ra = 2.3555555555555556 Za = -0.6923076923076921 H_phi   = -0.5403854354183573
Ra = 2.6777777777777776 Za = -0.6923076923076921 rot_H_z = 0.1518774792429642
Ra = 2.6777777777777776 Za = -0.6923076923076921 rot_H_r = 0.16267994103080613
Ra = 2.6777777777777776 Za = -0.6923076923076921 H_scalar_t = 0.2745537910999157
Ra = 2.6777777777777776 Za = -0.6923076923076921 H_scalar_s = -0.15356985792639388
Ra = 2.6777777777777776 Za = -0.6923076923076921 H_scalar   = 0.1209839331735218
Ra = 2.6777777777777776 Za = -0.6923076923076921 H_phi_t = -0.7236891943644441
Ra = 2.6777777777777776 Za = -0.6923076923076921 H_phi_s = 0.3000697901744869
Ra = 2.6777777777777776 Za = -0.6923076923076921 H_phi   = -0.42361940418995725
Ra = 3.0 Za = -0.6923076923076921 rot_H_z = 0.11970663823743422
Ra = 3.0 Za = -0.6923076923076921 rot_H_r = 0.1176588570689377
Ra = 3.0 Za = -0.6923076923076921 H_scalar_t = 0.2063492848626932
Ra = 3.0 Za = -0.6923076923076921 H_scalar_s = -0.11081949580672079
Ra = 3.0 Za = -0.6923076923076921 H_scalar   = 0.0955297890559724
Ra = 3.0 Za = -0.6923076923076921 H_phi_t = -0.5488005944790901
Ra = 3.0 Za = -0.6923076923076921 H_phi_s = 0.2117968113388935
Ra = 3.0 Za = -0.6923076923076921 H_phi   = -0.33700378314019663
Ra = 0.1 Za = -0.5384615384615383 rot_H_z = -33.19794700405858
Ra = 0.1 Za = -0.5384615384615383 rot_H_r = -0.8529256525952051
Ra = 0.1 Za = -0.5384615384615383 H_scalar_t = -19.0163777443817
Ra = 0.1 Za = -0.5384615384615383 H_scalar_s = 1.7966843968176964
Ra = 0.1 Za = -0.5384615384615383 H_scalar   = -17.219693347564004
Ra = 0.1 Za = -0.5384615384615383 H_phi_t = -3.759080825900413
Ra = 0.1 Za = -0.5384615384615383 H_phi_s = 0.21694493409514665
Ra = 0.1 Za = -0.5384615384615383 H_phi   = -3.542135891805266
Ra = 0.42222222222222217 Za = -0.5384615384615383 rot_H_z = -34.387592589995116
Ra = 0.42222222222222217 Za = -0.5384615384615383 rot_H_r = -0.17733453069492633
Ra = 0.42222222222222217 Za = -0.5384615384615383 H_scalar_t = -4.136906002904285
Ra = 0.42222222222222217 Za = -0.5384615384615383 H_scalar_s = 1.5572124338405513
Ra = 0.42222222222222217 Za = -0.5384615384615383 H_scalar   = -2.5796935690637333
Ra = 0.42222222222222217 Za = -0.5384615384615383 H_phi_t = -3.68607442460485
Ra = 0.42222222222222217 Za = -0.5384615384615383 H_phi_s = -11.71807735703247
Ra = 0.42222222222222217 Za = -0.5384615384615383 H_phi   = -15.40415178163732
Ra = 0.7444444444444444 Za = -0.5384615384615383 rot_H_z = -18.069297841974514
Ra = 0.7444444444444444 Za = -0.5384615384615383 rot_H_r = 0.1622393955413104
Ra = 0.7444444444444444 Za = -0.5384615384615383 H_scalar_t = -1.829553302473649
Ra = 0.7444444444444444 Za = -0.5384615384615383 H_scalar_s = 1.104137872375198
Ra = 0.7444444444444444 Za = -0.5384615384615383 H_scalar   = -0.725415430098451
Ra = 0.7444444444444444 Za = -0.5384615384615383 H_phi_t = -3.468861022291793
Ra = 0.7444444444444444 Za = -0.5384615384615383 H_phi_s = -11.308429114105191
Ra = 0.7444444444444444 Za = -0.5384615384615383 H_phi   = -14.777290136396985
Ra = 1.0666666666666667 Za = -0.5384615384615383 rot_H_z = -11.935345516042961
Ra = 1.0666666666666667 Za = -0.5384615384615383 rot_H_r = 0.2913675771551827
Ra = 1.0666666666666667 Za = -0.5384615384615383 H_scalar_t = -0.717830495974205
Ra = 1.0666666666666667 Za = -0.5384615384615383 H_scalar_s = 0.5862333283800703
Ra = 1.0666666666666667 Za = -0.5384615384615383 H_scalar   = -0.13159716759413476
Ra = 1.0666666666666667 Za = -0.5384615384615383 H_phi_t = -3.064961687754135
Ra = 1.0666666666666667 Za = -0.5384615384615383 H_phi_s = -11.194733313482388
Ra = 1.0666666666666667 Za = -0.5384615384615383 H_phi   = -14.259695001236523
Ra = 1.3888888888888888 Za = -0.5384615384615383 rot_H_z = -8.861977802200949
Ra = 1.3888888888888888 Za = -0.5384615384615383 rot_H_r = 0.31184725232025057
Ra = 1.3888888888888888 Za = -0.5384615384615383 H_scalar_t = -0.07907417796832163
Ra = 1.3888888888888888 Za = -0.5384615384615383 H_scalar_s = 0.15783754398316185
Ra = 1.3888888888888888 Za = -0.5384615384615383 H_scalar   = 0.07876336601484023
Ra = 1.3888888888888888 Za = -0.5384615384615383 H_phi_t = -2.506387821679991
Ra = 1.3888888888888888 Za = -0.5384615384615383 H_phi_s = -11.344505752139298
Ra = 1.3888888888888888 Za = -0.5384615384615383 H_phi   = -13.850893573819288
Ra = 1.711111111111111 Za = -0.5384615384615383 rot_H_z = 0.2655140656178149
Ra = 1.711111111111111 Za = -0.5384615384615383 rot_H_r = 0.2811676403822957
Ra = 1.711111111111111 Za = -0.5384615384615383 H_scalar_t = 0.2226713552215884
Ra = 1.711111111111111 Za = -0.5384615384615383 H_scalar_s = -0.08395907830014182
Ra = 1.711111111111111 Za = -0.5384615384615383 H_scalar   = 0.13871227692144658
Ra = 1.711111111111111 Za = -0.5384615384615383 H_phi_t = -1.909855573798688
Ra = 1.711111111111111 Za = -0.5384615384615383 H_phi_s = 0.9372218486048798
Ra = 1.711111111111111 Za = -0.5384615384615383 H_phi   = -0.9726337251938082
Ra = 2.033333333333333 Za = -0.5384615384615383 rot_H_z = 0.24931243088053645
Ra = 2.033333333333333 Za = -0.5384615384615383 rot_H_r = 0.22882576812510966
Ra = 2.033333333333333 Za = -0.5384615384615383 H_scalar_t = 0.2977131468665944
Ra = 2.033333333333333 Za = -0.5384615384615383 H_scalar_s = -0.1588188372737508
Ra = 2.033333333333333 Za = -0.5384615384615383 H_scalar   = 0.1388943095928436
Ra = 2.033333333333333 Za = -0.5384615384615383 H_phi_t = -1.402779026487892
Ra = 2.033333333333333 Za = -0.5384615384615383 H_phi_s = 0.6617967856980496
Ra = 2.033333333333333 Za = -0.5384615384615383 H_phi   = -0.7409822407898425
Ra = 2.3555555555555556 Za = -0.5384615384615383 rot_H_z = 0.20752919041198603
Ra = 2.3555555555555556 Za = -0.5384615384615383 rot_H_r = 0.17456420773563802
Ra = 2.3555555555555556 Za = -0.5384615384615383 H_scalar_t = 0.2696205720519668
Ra = 2.3555555555555556 Za = -0.5384615384615383 H_scalar_s = -0.1503185408144787
Ra = 2.3555555555555556 Za = -0.5384615384615383 H_scalar   = 0.11930203123748812
Ra = 2.3555555555555556 Za = -0.5384615384615383 H_phi_t = -1.028470461114062
Ra = 2.3555555555555556 Za = -0.5384615384615383 H_phi_s = 0.4574518131235492
Ra = 2.3555555555555556 Za = -0.5384615384615383 H_phi   = -0.5710186479905128
Ra = 2.6777777777777776 Za = -0.5384615384615383 rot_H_z = 0.1656752073305462
Ra = 2.6777777777777776 Za = -0.5384615384615383 rot_H_r = 0.12872234600681826
Ra = 2.6777777777777776 Za = -0.5384615384615383 H_scalar_t = 0.2149633730753943
Ra = 2.6777777777777776 Za = -0.5384615384615383 H_scalar_s = -0.11845579457576916
Ra = 2.6777777777777776 Za = -0.5384615384615383 H_scalar   = 0.09650757849962513
Ra = 2.6777777777777776 Za = -0.5384615384615383 H_phi_t = -0.7654491150512779
Ra = 2.6777777777777776 Za = -0.5384615384615383 H_phi_s = 0.3193858913839387
Ra = 2.6777777777777776 Za = -0.5384615384615383 H_phi   = -0.4460632236673392
Ra = 3.0 Za = -0.5384615384615383 rot_H_z = 0.13053233012941834
Ra = 3.0 Za = -0.5384615384615383 rot_H_r = 0.09368620531528901
Ra = 3.0 Za = -0.5384615384615383 H_scalar_t = 0.1635307529265077
Ra = 3.0 Za = -0.5384615384615383 H_scalar_s = -0.08728414509128296
Ra = 3.0 Za = -0.5384615384615383 H_scalar   = 0.07624660783522474
Ra = 3.0 Za = -0.5384615384615383 H_phi_t = -0.5806453684415426
Ra = 3.0 Za = -0.5384615384615383 H_phi_s = 0.22735906397551675
Ra = 3.0 Za = -0.5384615384615383 H_phi   = -0.3532863044660258
Ra = 0.1 Za = -0.3846153846153846 rot_H_z = -32.34724831846879
Ra = 0.1 Za = -0.3846153846153846 rot_H_r = -0.6804580997494242
Ra = 0.1 Za = -0.3846153846153846 H_scalar_t = -13.37310067325838
Ra = 0.1 Za = -0.3846153846153846 H_scalar_s = 1.1936979480112204
Ra = 0.1 Za = -0.3846153846153846 H_scalar   = -12.17940272524716
Ra = 0.1 Za = -0.3846153846153846 H_phi_t = -3.602246541766294
Ra = 0.1 Za = -0.3846153846153846 H_phi_s = 0.17945498285261055
Ra = 0.1 Za = -0.3846153846153846 H_phi   = -3.4227915589136835
Ra = 0.42222222222222217 Za = -0.3846153846153846 rot_H_z = -34.51821775416479
Ra = 0.42222222222222217 Za = -0.3846153846153846 rot_H_r = -0.2084009776380693
Ra = 0.42222222222222217 Za = -0.3846153846153846 H_scalar_t = -2.896534901840525
Ra = 0.42222222222222217 Za = -0.3846153846153846 H_scalar_s = 1.0393635695832766
Ra = 0.42222222222222217 Za = -0.3846153846153846 H_scalar   = -1.8571713322572483
Ra = 0.42222222222222217 Za = -0.3846153846153846 H_phi_t = -3.511830567605188
Ra = 0.42222222222222217 Za = -0.3846153846153846 H_phi_s = -11.86121657704414
Ra = 0.42222222222222217 Za = -0.3846153846153846 H_phi   = -15.373047144649327
Ra = 0.7444444444444444 Za = -0.3846153846153846 rot_H_z = -18.18561413283287
Ra = 0.7444444444444444 Za = -0.3846153846153846 rot_H_r = 0.05696699000526628
Ra = 0.7444444444444444 Za = -0.3846153846153846 H_scalar_t = -1.279337416436059
Ra = 0.7444444444444444 Za = -0.3846153846153846 H_scalar_s = 0.7463009065916084
Ra = 0.7444444444444444 Za = -0.3846153846153846 H_scalar   = -0.5330365098444505
Ra = 0.7444444444444444 Za = -0.3846153846153846 H_phi_t = -3.284736866243775
Ra = 0.7444444444444444 Za = -0.3846153846153846 H_phi_s = -11.508385939469129
Ra = 0.7444444444444444 Za = -0.3846153846153846 H_phi   = -14.793122805712905
Ra = 1.0666666666666667 Za = -0.3846153846153846 rot_H_z = -11.999731665792217
Ra = 1.0666666666666667 Za = -0.3846153846153846 rot_H_r = 0.17294483233262092
Ra = 1.0666666666666667 Za = -0.3846153846153846 H_scalar_t = -0.5123344792000233
Ra = 1.0666666666666667 Za = -0.3846153846153846 H_scalar_s = 0.40963849071334413
Ra = 1.0666666666666667 Za = -0.3846153846153846 H_scalar   = -0.10269598848667916
Ra = 1.0666666666666667 Za = -0.3846153846153846 H_phi_t = -2.905776336558247
Ra = 1.0666666666666667 Za = -0.3846153846153846 H_phi_s = -11.389053783489235
Ra = 1.0666666666666667 Za = -0.3846153846153846 H_phi   = -14.294830120047482
Ra = 1.3888888888888888 Za = -0.3846153846153846 rot_H_z = -8.88949505818582
Ra = 1.3888888888888888 Za = -0.3846153846153846 rot_H_r = 0.20461304120945178
Ra = 1.3888888888888888 Za = -0.3846153846153846 H_scalar_t = -0.07542971109552966
Ra = 1.3888888888888888 Za = -0.3846153846153846 H_scalar_s = 0.12777789278689577
Ra = 1.3888888888888888 Za = -0.3846153846153846 H_scalar   = 0.05234818169136611
Ra = 1.3888888888888888 Za = -0.3846153846153846 H_phi_t = -2.410195904226466
Ra = 1.3888888888888888 Za = -0.3846153846153846 H_phi_s = -11.480149470873673
Ra = 1.3888888888888888 Za = -0.3846153846153846 H_phi   = -13.89034537510014
Ra = 1.711111111111111 Za = -0.3846153846153846 rot_H_z = 0.26076029225858915
Ra = 1.711111111111111 Za = -0.3846153846153846 rot_H_r = 0.19260691897683194
Ra = 1.711111111111111 Za = -0.3846153846153846 H_scalar_t = 0.1380644993714358
Ra = 1.711111111111111 Za = -0.3846153846153846 H_scalar_s = -0.039857486542614895
Ra = 1.711111111111111 Za = -0.3846153846153846 H_scalar   = 0.09820701282882091
Ra = 1.711111111111111 Za = -0.3846153846153846 H_phi_t = -1.885324269694884
Ra = 1.711111111111111 Za = -0.3846153846153846 H_phi_s = 0.8763666484912678
Ra = 1.711111111111111 Za = -0.3846153846153846 H_phi   = -1.0089576212036162
Ra = 2.033333333333333 Za = -0.3846153846153846 rot_H_z = 0.25630847388818523
Ra = 2.033333333333333 Za = -0.3846153846153846 rot_H_r = 0.1608362947133315
Ra = 2.033333333333333 Za = -0.3846153846153846 H_scalar_t = 0.2009776136184636
Ra = 2.033333333333333 Za = -0.3846153846153846 H_scalar_s = -0.10103331983574337
Ra = 2.033333333333333 Za = -0.3846153846153846 H_scalar   = 0.09994429378272024
Ra = 2.033333333333333 Za = -0.3846153846153846 H_phi_t = -1.422017210174322
Ra = 2.033333333333333 Za = -0.3846153846153846 H_phi_s = 0.6510950878999457
Ra = 2.033333333333333 Za = -0.3846153846153846 H_phi   = -0.7709221222743763
Ra = 2.3555555555555556 Za = -0.3846153846153846 rot_H_z = 0.2181483666844808
Ra = 2.3555555555555556 Za = -0.3846153846153846 rot_H_r = 0.12480524237811155
Ra = 2.3555555555555556 Za = -0.3846153846153846 H_scalar_t = 0.1891449475040536
Ra = 2.3555555555555556 Za = -0.3846153846153846 H_scalar_s = -0.10264481538017517
Ra = 2.3555555555555556 Za = -0.3846153846153846 H_scalar   = 0.08650013212387844
Ra = 2.3555555555555556 Za = -0.3846153846153846 H_phi_t = -1.060760399301635
Ra = 2.3555555555555556 Za = -0.3846153846153846 H_phi_s = 0.4667075563037377
Ra = 2.3555555555555556 Za = -0.3846153846153846 H_phi   = -0.5940528429978973
Ra = 2.6777777777777776 Za = -0.3846153846153846 rot_H_z = 0.17573097764638512
Ra = 2.6777777777777776 Za = -0.3846153846153846 rot_H_r = 0.0929827127690909
Ra = 2.6777777777777776 Za = -0.3846153846153846 H_scalar_t = 0.1539288816322236
Ra = 2.6777777777777776 Za = -0.3846153846153846 H_scalar_s = -0.08372992270611307
Ra = 2.6777777777777776 Za = -0.3846153846153846 H_scalar   = 0.07019895892611053
Ra = 2.6777777777777776 Za = -0.3846153846153846 H_phi_t = -0.795573576794095
Ra = 2.6777777777777776 Za = -0.3846153846153846 H_phi_s = 0.33243828464957703
Ra = 2.6777777777777776 Za = -0.3846153846153846 H_phi   = -0.463135292144518
Ra = 3.0 Za = -0.3846153846153846 rot_H_z = 0.13866896223641517
Ra = 3.0 Za = -0.3846153846153846 rot_H_r = 0.06803808907181896
Ra = 3.0 Za = -0.3846153846153846 H_scalar_t = 0.1182867957929957
Ra = 3.0 Za = -0.3846153846153846 H_scalar_s = -0.06278277243442937
Ra = 3.0 Za = -0.3846153846153846 H_scalar   = 0.05550402335856633
Ra = 3.0 Za = -0.3846153846153846 H_phi_t = -0.6044186435327632
Ra = 3.0 Za = -0.3846153846153846 H_phi_s = 0.2386741508233925
Ra = 3.0 Za = -0.3846153846153846 H_phi   = -0.3657444927093707
Ra = 0.1 Za = -0.23076923076923084 rot_H_z = -31.70043892415567
Ra = 0.1 Za = -0.23076923076923084 rot_H_r = -0.43081420556097516
Ra = 0.1 Za = -0.23076923076923084 H_scalar_t = -7.938309499343067
Ra = 0.1 Za = -0.23076923076923084 H_scalar_s = 0.6822330239754444
Ra = 0.1 Za = -0.23076923076923084 H_scalar   = -7.256076475367623
Ra = 0.1 Za = -0.23076923076923084 H_phi_t = -3.493212257531433
Ra = 0.1 Za = -0.23076923076923084 H_phi_s = 0.15655564847594544
Ra = 0.1 Za = -0.23076923076923084 H_phi   = -3.3366566090554874
Ra = 0.42222222222222217 Za = -0.23076923076923084 rot_H_z = -34.589737182401485
Ra = 0.42222222222222217 Za = -0.23076923076923084 rot_H_r = -0.1540337767168034
Ra = 0.42222222222222217 Za = -0.23076923076923084 H_scalar_t = -1.715300542351293
Ra = 0.42222222222222217 Za = -0.23076923076923084 H_scalar_s = 0.5959022510022649
Ra = 0.42222222222222217 Za = -0.23076923076923084 H_scalar   = -1.1193982913490281
Ra = 0.42222222222222217 Za = -0.23076923076923084 H_phi_t = -3.395590107650983
Ra = 0.42222222222222217 Za = -0.23076923076923084 H_phi_s = -11.94878536437254
Ra = 0.42222222222222217 Za = -0.23076923076923084 H_phi   = -15.344375472023524
Ra = 0.7444444444444444 Za = -0.23076923076923084 rot_H_z = -18.262960359884456
Ra = 0.7444444444444444 Za = -0.23076923076923084 rot_H_r = 0.011078780144514133
Ra = 0.7444444444444444 Za = -0.23076923076923084 H_scalar_t = -0.7573380039512944
Ra = 0.7444444444444444 Za = -0.23076923076923084 H_scalar_s = 0.4315863194221726
Ra = 0.7444444444444444 Za = -0.23076923076923084 H_scalar   = -0.32575168452912173
Ra = 0.7444444444444444 Za = -0.23076923076923084 H_phi_t = -3.16654444822426
Ra = 0.7444444444444444 Za = -0.23076923076923084 H_phi_s = -11.631220694408842
Ra = 0.7444444444444444 Za = -0.23076923076923084 H_phi   = -14.797765142633102
Ra = 1.0666666666666667 Za = -0.23076923076923084 rot_H_z = -12.045777938368419
Ra = 1.0666666666666667 Za = -0.23076923076923084 rot_H_r = 0.08996285039052487
Ra = 1.0666666666666667 Za = -0.23076923076923084 H_scalar_t = -0.3073659473248011
Ra = 1.0666666666666667 Za = -0.23076923076923084 H_scalar_s = 0.24213328414093283
Ra = 1.0666666666666667 Za = -0.23076923076923084 H_scalar   = -0.06523266318386828
Ra = 1.0666666666666667 Za = -0.23076923076923084 H_phi_t = -2.805632443040858
Ra = 1.0666666666666667 Za = -0.23076923076923084 H_phi_s = -11.509070596646598
Ra = 1.0666666666666667 Za = -0.23076923076923084 H_phi   = -14.314703039687457
Ra = 1.3888888888888888 Za = -0.23076923076923084 rot_H_z = -8.91053732186173
Ra = 1.3888888888888888 Za = -0.23076923076923084 rot_H_r = 0.11545155463364248
Ra = 1.3888888888888888 Za = -0.23076923076923084 H_scalar_t = -0.05225291965640463
Ra = 1.3888888888888888 Za = -0.23076923076923084 H_scalar_s = 0.08197554843046917
Ra = 1.3888888888888888 Za = -0.23076923076923084 H_scalar   = 0.029722628774064543
Ra = 1.3888888888888888 Za = -0.23076923076923084 H_phi_t = -2.348911607673638
Ra = 1.3888888888888888 Za = -0.23076923076923084 H_phi_s = -11.565868141399568
Ra = 1.3888888888888888 Za = -0.23076923076923084 H_phi   = -13.914779749073205
Ra = 1.711111111111111 Za = -0.23076923076923084 rot_H_z = 0.25573726989862916
Ra = 1.711111111111111 Za = -0.23076923076923084 rot_H_r = 0.11214180338414047
Ra = 1.711111111111111 Za = -0.23076923076923084 H_scalar_t = 0.07494733039463866
Ra = 1.711111111111111 Za = -0.23076923076923084 H_scalar_s = -0.016457271017971342
Ra = 1.711111111111111 Za = -0.23076923076923084 H_scalar   = 0.05849005937666732
Ra = 1.711111111111111 Za = -0.23076923076923084 H_phi_t = -1.867106752133668
Ra = 1.711111111111111 Za = -0.23076923076923084 H_phi_s = 0.8347929430133121
Ra = 1.711111111111111 Za = -0.23076923076923084 H_phi   = -1.0323138091203559
Ra = 2.033333333333333 Za = -0.23076923076923084 rot_H_z = 0.2598281012346586
Ra = 2.033333333333333 Za = -0.23076923076923084 rot_H_r = 0.09532951521481384
Ra = 2.033333333333333 Za = -0.23076923076923084 H_scalar_t = 0.1159179361023631
Ra = 2.033333333333333 Za = -0.23076923076923084 H_scalar_s = -0.05571063492359274
Ra = 2.033333333333333 Za = -0.23076923076923084 H_scalar   = 0.060207301178770364
Ra = 2.033333333333333 Za = -0.23076923076923084 H_phi_t = -1.431790894925998
Ra = 2.033333333333333 Za = -0.23076923076923084 H_phi_s = 0.6411920626170007
Ra = 2.033333333333333 Za = -0.23076923076923084 H_phi   = -0.7905988323089974
Ra = 2.3555555555555556 Za = -0.23076923076923084 rot_H_z = 0.22468684185418536
Ra = 2.3555555555555556 Za = -0.23076923076923084 rot_H_r = 0.07484382714987262
Ra = 2.3555555555555556 Za = -0.23076923076923084 H_scalar_t = 0.1119494357226421
Ra = 2.3555555555555556 Za = -0.23076923076923084 H_scalar_s = -0.0595611057563431
Ra = 2.3555555555555556 Za = -0.23076923076923084 H_scalar   = 0.052388329966298997
Ra = 2.3555555555555556 Za = -0.23076923076923084 H_phi_t = -1.080478437092302
Ra = 2.3555555555555556 Za = -0.23076923076923084 H_phi_s = 0.4710678128447019
Ra = 2.3555555555555556 Za = -0.23076923076923084 H_phi   = -0.6094106242476001
Ra = 2.6777777777777776 Za = -0.23076923076923084 rot_H_z = 0.1822649537746301
Ra = 2.6777777777777776 Za = -0.23076923076923084 rot_H_r = 0.05616387861805862
Ra = 2.6777777777777776 Za = -0.23076923076923084 H_scalar_t = 0.0924026606283029
Ra = 2.6777777777777776 Za = -0.23076923076923084 H_scalar_s = -0.04978559234405566
Ra = 2.6777777777777776 Za = -0.23076923076923084 H_scalar   = 0.04261706828424723
Ra = 2.6777777777777776 Za = -0.23076923076923084 H_phi_t = -0.8150099641370719
Ra = 2.6777777777777776 Za = -0.23076923076923084 H_phi_s = 0.34039168960954047
Ra = 2.6777777777777776 Za = -0.23076923076923084 H_phi   = -0.47461827452753147
Ra = 3.0 Za = -0.23076923076923084 rot_H_z = 0.14408658788232137
Ra = 3.0 Za = -0.23076923076923084 rot_H_r = 0.04125623788858421
Ra = 3.0 Za = -0.23076923076923084 H_scalar_t = 0.07151854861044442
Ra = 3.0 Za = -0.23076923076923084 H_scalar_s = -0.03779981998020723
Ra = 3.0 Za = -0.23076923076923084 H_scalar   = 0.033718728630237185
Ra = 3.0 Za = -0.23076923076923084 H_phi_t = -0.6201703698523895
Ra = 3.0 Za = -0.23076923076923084 H_phi_s = 0.24600730355814715
Ra = 3.0 Za = -0.23076923076923084 H_phi   = -0.37416306629424234
Ra = 0.1 Za = -0.07692307692307665 rot_H_z = -31.356542312466438
Ra = 0.1 Za = -0.07692307692307665 rot_H_r = -0.1468385797036565
Ra = 0.1 Za = -0.07692307692307665 H_scalar_t = -2.631720196528087
Ra = 0.1 Za = -0.07692307692307665 H_scalar_s = 0.2219272966360057
Ra = 0.1 Za = -0.07692307692307665 H_scalar   = -2.4097928998920817
Ra = 0.1 Za = -0.07692307692307665 H_phi_t = -3.437667856466926
Ra = 0.1 Za = -0.07692307692307665 H_phi_s = 0.1457033075752397
Ra = 0.1 Za = -0.07692307692307665 H_phi   = -3.2919645488916864
Ra = 0.42222222222222217 Za = -0.07692307692307665 rot_H_z = -34.62084328539203
Ra = 0.42222222222222217 Za = -0.07692307692307665 rot_H_r = -0.05582599215489953
Ra = 0.42222222222222217 Za = -0.07692307692307665 H_scalar_t = -0.5680661070467344
Ra = 0.42222222222222217 Za = -0.07692307692307665 H_scalar_s = 0.19415553460846535
Ra = 0.42222222222222217 Za = -0.07692307692307665 H_scalar   = -0.3739105724382691
Ra = 0.42222222222222217 Za = -0.07692307692307665 H_phi_t = -3.337551239940224
Ra = 0.42222222222222217 Za = -0.07692307692307665 H_phi_s = -11.990330669860155
Ra = 0.42222222222222217 Za = -0.07692307692307665 H_phi   = -15.327881909800379
Ra = 0.7444444444444444 Za = -0.07692307692307665 rot_H_z = -18.301389403508196
Ra = 0.7444444444444444 Za = -0.07692307692307665 rot_H_r = 0.0002694176554987604
Ra = 0.7444444444444444 Za = -0.07692307692307665 H_scalar_t = -0.250803956801666
Ra = 0.7444444444444444 Za = -0.07692307692307665 H_scalar_s = 0.1412360935197421
Ra = 0.7444444444444444 Za = -0.07692307692307665 H_scalar   = -0.10956786328192392
Ra = 0.7444444444444444 Za = -0.07692307692307665 H_phi_t = -3.108765815856945
Ra = 0.7444444444444444 Za = -0.07692307692307665 H_phi_s = -11.68963466759779
Ra = 0.7444444444444444 Za = -0.07692307692307665 H_phi   = -14.798400483454735
Ra = 1.0666666666666667 Za = -0.07692307692307665 rot_H_z = -12.069630042138785
Ra = 1.0666666666666667 Za = -0.07692307692307665 rot_H_r = 0.027773903211733425
Ra = 1.0666666666666667 Za = -0.07692307692307665 H_scalar_t = -0.102459470796082
Ra = 1.0666666666666667 Za = -0.07692307692307665 H_scalar_s = 0.08010034458332063
Ra = 1.0666666666666667 Za = -0.07692307692307665 H_scalar   = -0.02235912621276137
Ra = 1.0666666666666667 Za = -0.07692307692307665 H_phi_t = -2.75722198595092
Ra = 1.0666666666666667 Za = -0.07692307692307665 H_phi_s = -11.5663736787869
Ra = 1.0666666666666667 Za = -0.07692307692307665 H_phi   = -14.32359566473782
Ra = 1.3888888888888888 Za = -0.07692307692307665 rot_H_z = -8.921831220884988
Ra = 1.3888888888888888 Za = -0.07692307692307665 rot_H_r = 0.0375719588733274
Ra = 1.3888888888888888 Za = -0.07692307692307665 H_scalar_t = -0.01852994874314635
Ra = 1.3888888888888888 Za = -0.07692307692307665 H_scalar_s = 0.028144674937823605
Ra = 1.3888888888888888 Za = -0.07692307692307665 H_scalar   = 0.009614726194677254
Ra = 1.3888888888888888 Za = -0.07692307692307665 H_phi_t = -2.319050834336232
Ra = 1.3888888888888888 Za = -0.07692307692307665 H_phi_s = -11.60738320612089
Ra = 1.3888888888888888 Za = -0.07692307692307665 H_phi   = -13.92643404045712
Ra = 1.711111111111111 Za = -0.07692307692307665 rot_H_z = 0.2526786928711951
Ra = 1.711111111111111 Za = -0.07692307692307665 rot_H_r = 0.036797793714671054
Ra = 1.711111111111111 Za = -0.07692307692307665 H_scalar_t = 0.02371436240847457
Ra = 1.711111111111111 Za = -0.07692307692307665 H_scalar_s = -0.00429842065804964
Ra = 1.711111111111111 Za = -0.07692307692307665 H_scalar   = 0.01941594175042493
Ra = 1.711111111111111 Za = -0.07692307692307665 H_phi_t = -1.857524429790111
Ra = 1.711111111111111 Za = -0.07692307692307665 H_phi_s = 0.8137983528344286
Ra = 1.711111111111111 Za = -0.07692307692307665 H_phi   = -1.0437260769556824
Ra = 2.033333333333333 Za = -0.07692307692307665 rot_H_z = 0.2612435520556123
Ra = 2.033333333333333 Za = -0.07692307692307665 rot_H_r = 0.03156881200256803
Ra = 2.033333333333333 Za = -0.07692307692307665 H_scalar_t = 0.03786348227716486
Ra = 2.033333333333333 Za = -0.07692307692307665 H_scalar_s = -0.017759561202798868
Ra = 2.033333333333333 Za = -0.07692307692307665 H_scalar   = 0.02010392107436599
Ra = 2.033333333333333 Za = -0.07692307692307665 H_phi_t = -1.435828763910565
Ra = 2.033333333333333 Za = -0.07692307692307665 H_phi_s = 0.6354842909938858
Ra = 2.033333333333333 Za = -0.07692307692307665 H_phi   = -0.8003444729166791
Ra = 2.3555555555555556 Za = -0.07692307692307665 rot_H_z = 0.22778678674804675
Ra = 2.3555555555555556 Za = -0.07692307692307665 rot_H_r = 0.024932870893286014
Ra = 2.3555555555555556 Za = -0.07692307692307665 H_scalar_t = 0.03704543263099272
Ra = 2.3555555555555556 Za = -0.07692307692307665 H_scalar_s = -0.019503906500600007
Ra = 2.3555555555555556 Za = -0.07692307692307665 H_scalar   = 0.017541526130392712
Ra = 2.3555555555555556 Za = -0.07692307692307665 H_phi_t = -1.089796173411173
Ra = 2.3555555555555556 Za = -0.07692307692307665 H_phi_s = 0.47271143288580886
Ra = 2.3555555555555556 Za = -0.07692307692307665 H_phi   = -0.6170847405253641
Ra = 2.6777777777777776 Za = -0.07692307692307665 rot_H_z = 0.18547499093263592
Ra = 2.6777777777777776 Za = -0.07692307692307665 rot_H_r = 0.01877945346918225
Ra = 2.6777777777777776 Za = -0.07692307692307665 H_scalar_t = 0.03079768828162118
Ra = 2.6777777777777776 Za = -0.07692307692307665 H_scalar_s = -0.016509945143812876
Ra = 2.6777777777777776 Za = -0.07692307692307665 H_scalar   = 0.014287743137808305
Ra = 2.6777777777777776 Za = -0.07692307692307665 H_phi_t = -0.8245201304541561
Ra = 2.6777777777777776 Za = -0.07692307692307665 H_phi_s = 0.34413243754791534
Ra = 2.6777777777777776 Za = -0.07692307692307665 H_phi   = -0.4803876929062407
Ra = 3.0 Za = -0.07692307692307665 rot_H_z = 0.14679024569865828
Ra = 3.0 Za = -0.07692307692307665 rot_H_r = 0.013822777317498203
Ra = 3.0 Za = -0.07692307692307665 H_scalar_t = 0.02392589524748139
Ra = 3.0 Za = -0.07692307692307665 H_scalar_s = -0.012617022715045598
Ra = 3.0 Za = -0.07692307692307665 H_scalar   = 0.011308872532435791
Ra = 3.0 Za = -0.07692307692307665 H_phi_t = -0.6280081084410123
Ra = 3.0 Za = -0.07692307692307665 H_phi_s = 0.24960272963470098
Ra = 3.0 Za = -0.07692307692307665 H_phi   = -0.3784053788063113
Ra = 0.1 Za = 0.0769230769230771 rot_H_z = -31.35654231246642
Ra = 0.1 Za = 0.0769230769230771 rot_H_r = 0.14683857970365138
Ra = 0.1 Za = 0.0769230769230771 H_scalar_t = 2.631720196528101
Ra = 0.1 Za = 0.0769230769230771 H_scalar_s = -0.22192729663600602
Ra = 0.1 Za = 0.0769230769230771 H_scalar   = 2.409792899892095
Ra = 0.1 Za = 0.0769230769230771 H_phi_t = -3.437667856466926
Ra = 0.1 Za = 0.0769230769230771 H_phi_s = 0.14570330757523992
Ra = 0.1 Za = 0.0769230769230771 H_phi   = -3.291964548891686
Ra = 0.42222222222222217 Za = 0.0769230769230771 rot_H_z = -34.62084328539201
Ra = 0.42222222222222217 Za = 0.0769230769230771 rot_H_r = 0.05582599213443726
Ra = 0.42222222222222217 Za = 0.0769230769230771 H_scalar_t = 0.5680661070467378
Ra = 0.42222222222222217 Za = 0.0769230769230771 H_scalar_s = -0.19415553460846607
Ra = 0.42222222222222217 Za = 0.0769230769230771 H_scalar   = 0.3739105724382717
Ra = 0.42222222222222217 Za = 0.0769230769230771 H_phi_t = -3.337551239940224
Ra = 0.42222222222222217 Za = 0.0769230769230771 H_phi_s = -11.990330669860153
Ra = 0.42222222222222217 Za = 0.0769230769230771 H_phi   = -15.327881909800377
Ra = 0.7444444444444444 Za = 0.0769230769230771 rot_H_z = -18.301389403508182
Ra = 0.7444444444444444 Za = 0.0769230769230771 rot_H_r = -0.0002694176554800254
Ra = 0.7444444444444444 Za = 0.0769230769230771 H_scalar_t = 0.2508039568016679
Ra = 0.7444444444444444 Za = 0.0769230769230771 H_scalar_s = -0.14123609351973795
Ra = 0.7444444444444444 Za = 0.0769230769230771 H_scalar   = 0.10956786328192994
Ra = 0.7444444444444444 Za = 0.0769230769230771 H_phi_t = -3.108765815856945
Ra = 0.7444444444444444 Za = 0.0769230769230771 H_phi_s = -11.68963466759779
Ra = 0.7444444444444444 Za = 0.0769230769230771 H_phi   = -14.798400483454735
Ra = 1.0666666666666667 Za = 0.0769230769230771 rot_H_z = -12.069630042138781
Ra = 1.0666666666666667 Za = 0.0769230769230771 rot_H_r = -0.02777390321173545
Ra = 1.0666666666666667 Za = 0.0769230769230771 H_scalar_t = 0.1024594707960826
Ra = 1.0666666666666667 Za = 0.0769230769230771 H_scalar_s = -0.08010034458329812
Ra = 1.0666666666666667 Za = 0.0769230769230771 H_scalar   = 0.022359126212784478
Ra = 1.0666666666666667 Za = 0.0769230769230771 H_phi_t = -2.757221985950921
Ra = 1.0666666666666667 Za = 0.0769230769230771 H_phi_s = -11.5663736787869
Ra = 1.0666666666666667 Za = 0.0769230769230771 H_phi   = -14.32359566473782
Ra = 1.3888888888888888 Za = 0.0769230769230771 rot_H_z = -8.921831220884991
Ra = 1.3888888888888888 Za = 0.0769230769230771 rot_H_r = -0.03757195886786911
Ra = 1.3888888888888888 Za = 0.0769230769230771 H_scalar_t = 0.01852994874314645
Ra = 1.3888888888888888 Za = 0.0769230769230771 H_scalar_s = -0.02814467493781797
Ra = 1.3888888888888888 Za = 0.0769230769230771 H_scalar   = -0.009614726194671519
Ra = 1.3888888888888888 Za = 0.0769230769230771 H_phi_t = -2.319050834336232
Ra = 1.3888888888888888 Za = 0.0769230769230771 H_phi_s = -11.607383206120891
Ra = 1.3888888888888888 Za = 0.0769230769230771 H_phi   = -13.926434040457124
Ra = 1.711111111111111 Za = 0.0769230769230771 rot_H_z = 0.2526786928711795
Ra = 1.711111111111111 Za = 0.0769230769230771 rot_H_r = -0.03679779371467483
Ra = 1.711111111111111 Za = 0.0769230769230771 H_scalar_t = -0.02371436240847463
Ra = 1.711111111111111 Za = 0.0769230769230771 H_scalar_s = 0.00429842065804989
Ra = 1.711111111111111 Za = 0.0769230769230771 H_scalar   = -0.01941594175042474
Ra = 1.711111111111111 Za = 0.0769230769230771 H_phi_t = -1.857524429790111
Ra = 1.711111111111111 Za = 0.0769230769230771 H_phi_s = 0.8137983528344295
Ra = 1.711111111111111 Za = 0.0769230769230771 H_phi   = -1.0437260769556815
Ra = 2.033333333333333 Za = 0.0769230769230771 rot_H_z = 0.2612435520556105
Ra = 2.033333333333333 Za = 0.0769230769230771 rot_H_r = -0.031568812002569745
Ra = 2.033333333333333 Za = 0.0769230769230771 H_scalar_t = -0.03786348227716506
Ra = 2.033333333333333 Za = 0.0769230769230771 H_scalar_s = 0.0177595612027987
Ra = 2.033333333333333 Za = 0.0769230769230771 H_scalar   = -0.020103921074366357
Ra = 2.033333333333333 Za = 0.0769230769230771 H_phi_t = -1.435828763910565
Ra = 2.033333333333333 Za = 0.0769230769230771 H_phi_s = 0.6354842909938849
Ra = 2.033333333333333 Za = 0.0769230769230771 H_phi   = -0.80034447291668
Ra = 2.3555555555555556 Za = 0.0769230769230771 rot_H_z = 0.22778678674804753
Ra = 2.3555555555555556 Za = 0.0769230769230771 rot_H_r = -0.024932870893287228
Ra = 2.3555555555555556 Za = 0.0769230769230771 H_scalar_t = -0.03704543263099303
Ra = 2.3555555555555556 Za = 0.0769230769230771 H_scalar_s = 0.01950390650060005
Ra = 2.3555555555555556 Za = 0.0769230769230771 H_scalar   = -0.017541526130392983
Ra = 2.3555555555555556 Za = 0.0769230769230771 H_phi_t = -1.089796173411173
Ra = 2.3555555555555556 Za = 0.0769230769230771 H_phi_s = 0.4727114328858084
Ra = 2.3555555555555556 Za = 0.0769230769230771 H_phi   = -0.6170847405253646
Ra = 2.6777777777777776 Za = 0.0769230769230771 rot_H_z = 0.1854749909326357
Ra = 2.6777777777777776 Za = 0.0769230769230771 rot_H_r = -0.018779453469182215
Ra = 2.6777777777777776 Za = 0.0769230769230771 H_scalar_t = -0.03079768828162145
Ra = 2.6777777777777776 Za = 0.0769230769230771 H_scalar_s = 0.0165099451438131
Ra = 2.6777777777777776 Za = 0.0769230769230771 H_scalar   = -0.01428774313780835
Ra = 2.6777777777777776 Za = 0.0769230769230771 H_phi_t = -0.8245201304541564
Ra = 2.6777777777777776 Za = 0.0769230769230771 H_phi_s = 0.3441324375479149
Ra = 2.6777777777777776 Za = 0.0769230769230771 H_phi   = -0.4803876929062415
Ra = 3.0 Za = 0.0769230769230771 rot_H_z = 0.1467902456986579
Ra = 3.0 Za = 0.0769230769230771 rot_H_r = -0.013822777317498706
Ra = 3.0 Za = 0.0769230769230771 H_scalar_t = -0.02392589524748139
Ra = 3.0 Za = 0.0769230769230771 H_scalar_s = 0.01261702271504557
Ra = 3.0 Za = 0.0769230769230771 H_scalar   = -0.011308872532435819
Ra = 3.0 Za = 0.0769230769230771 H_phi_t = -0.6280081084410123
Ra = 3.0 Za = 0.0769230769230771 H_phi_s = 0.24960272963470276
Ra = 3.0 Za = 0.0769230769230771 H_phi   = -0.37840537880630953
Ra = 0.1 Za = 0.23076923076923084 rot_H_z = -31.700438924155673
Ra = 0.1 Za = 0.23076923076923084 rot_H_r = 0.43081420556097383
Ra = 0.1 Za = 0.23076923076923084 H_scalar_t = 7.938309499343067
Ra = 0.1 Za = 0.23076923076923084 H_scalar_s = -0.6822330239754444
Ra = 0.1 Za = 0.23076923076923084 H_scalar   = 7.256076475367623
Ra = 0.1 Za = 0.23076923076923084 H_phi_t = -3.493212257531433
Ra = 0.1 Za = 0.23076923076923084 H_phi_s = 0.15655564847594552
Ra = 0.1 Za = 0.23076923076923084 H_phi   = -3.3366566090554874
Ra = 0.42222222222222217 Za = 0.23076923076923084 rot_H_z = -34.589737182401485
Ra = 0.42222222222222217 Za = 0.23076923076923084 rot_H_r = 0.15403377671680885
Ra = 0.42222222222222217 Za = 0.23076923076923084 H_scalar_t = 1.715300542351293
Ra = 0.42222222222222217 Za = 0.23076923076923084 H_scalar_s = -0.5959022510022651
Ra = 0.42222222222222217 Za = 0.23076923076923084 H_scalar   = 1.119398291349028
Ra = 0.42222222222222217 Za = 0.23076923076923084 H_phi_t = -3.395590107650983
Ra = 0.42222222222222217 Za = 0.23076923076923084 H_phi_s = -11.94878536437254
Ra = 0.42222222222222217 Za = 0.23076923076923084 H_phi   = -15.344375472023524
Ra = 0.7444444444444444 Za = 0.23076923076923084 rot_H_z = -18.262960359884456
Ra = 0.7444444444444444 Za = 0.23076923076923084 rot_H_r = -0.011078780144513134
Ra = 0.7444444444444444 Za = 0.23076923076923084 H_scalar_t = 0.7573380039512944
Ra = 0.7444444444444444 Za = 0.23076923076923084 H_scalar_s = -0.4315863194221726
Ra = 0.7444444444444444 Za = 0.23076923076923084 H_scalar   = 0.32575168452912173
Ra = 0.7444444444444444 Za = 0.23076923076923084 H_phi_t = -3.16654444822426
Ra = 0.7444444444444444 Za = 0.23076923076923084 H_phi_s = -11.63122069440884
Ra = 0.7444444444444444 Za = 0.23076923076923084 H_phi   = -14.7977651426331
Ra = 1.0666666666666667 Za = 0.23076923076923084 rot_H_z = -12.045777938368419
Ra = 1.0666666666666667 Za = 0.23076923076923084 rot_H_r = -0.08996285039052543
Ra = 1.0666666666666667 Za = 0.23076923076923084 H_scalar_t = 0.3073659473248011
Ra = 1.0666666666666667 Za = 0.23076923076923084 H_scalar_s = -0.2421332841409335
Ra = 1.0666666666666667 Za = 0.23076923076923084 H_scalar   = 0.06523266318386761
Ra = 1.0666666666666667 Za = 0.23076923076923084 H_phi_t = -2.805632443040858
Ra = 1.0666666666666667 Za = 0.23076923076923084 H_phi_s = -11.509070596646598
Ra = 1.0666666666666667 Za = 0.23076923076923084 H_phi   = -14.314703039687457
Ra = 1.3888888888888888 Za = 0.23076923076923084 rot_H_z = -8.910537321861725
Ra = 1.3888888888888888 Za = 0.23076923076923084 rot_H_r = -0.11545155463364803
Ra = 1.3888888888888888 Za = 0.23076923076923084 H_scalar_t = 0.05225291965640463
Ra = 1.3888888888888888 Za = 0.23076923076923084 H_scalar_s = -0.08197554843046917
Ra = 1.3888888888888888 Za = 0.23076923076923084 H_scalar   = -0.029722628774064543
Ra = 1.3888888888888888 Za = 0.23076923076923084 H_phi_t = -2.348911607673638
Ra = 1.3888888888888888 Za = 0.23076923076923084 H_phi_s = -11.565868141399568
Ra = 1.3888888888888888 Za = 0.23076923076923084 H_phi   = -13.914779749073205
Ra = 1.711111111111111 Za = 0.23076923076923084 rot_H_z = 0.2557372698986305
Ra = 1.711111111111111 Za = 0.23076923076923084 rot_H_r = -0.11214180338414227
Ra = 1.711111111111111 Za = 0.23076923076923084 H_scalar_t = -0.07494733039463866
Ra = 1.711111111111111 Za = 0.23076923076923084 H_scalar_s = 0.016457271017972064
Ra = 1.711111111111111 Za = 0.23076923076923084 H_scalar   = -0.0584900593766666
Ra = 1.711111111111111 Za = 0.23076923076923084 H_phi_t = -1.867106752133668
Ra = 1.711111111111111 Za = 0.23076923076923084 H_phi_s = 0.8347929430133121
Ra = 1.711111111111111 Za = 0.23076923076923084 H_phi   = -1.0323138091203559
Ra = 2.033333333333333 Za = 0.23076923076923084 rot_H_z = 0.2598281012346595
Ra = 2.033333333333333 Za = 0.23076923076923084 rot_H_r = -0.09532951521481484
Ra = 2.033333333333333 Za = 0.23076923076923084 H_scalar_t = -0.1159179361023631
Ra = 2.033333333333333 Za = 0.23076923076923084 H_scalar_s = 0.05571063492359346
Ra = 2.033333333333333 Za = 0.23076923076923084 H_scalar   = -0.06020730117876964
Ra = 2.033333333333333 Za = 0.23076923076923084 H_phi_t = -1.431790894925998
Ra = 2.033333333333333 Za = 0.23076923076923084 H_phi_s = 0.6411920626170007
Ra = 2.033333333333333 Za = 0.23076923076923084 H_phi   = -0.7905988323089974
Ra = 2.3555555555555556 Za = 0.23076923076923084 rot_H_z = 0.22468684185418536
Ra = 2.3555555555555556 Za = 0.23076923076923084 rot_H_r = -0.07484382714987223
Ra = 2.3555555555555556 Za = 0.23076923076923084 H_scalar_t = -0.1119494357226421
Ra = 2.3555555555555556 Za = 0.23076923076923084 H_scalar_s = 0.0595611057563431
Ra = 2.3555555555555556 Za = 0.23076923076923084 H_scalar   = -0.052388329966298997
Ra = 2.3555555555555556 Za = 0.23076923076923084 H_phi_t = -1.080478437092302
Ra = 2.3555555555555556 Za = 0.23076923076923084 H_phi_s = 0.4710678128447028
Ra = 2.3555555555555556 Za = 0.23076923076923084 H_phi   = -0.6094106242475992
Ra = 2.6777777777777776 Za = 0.23076923076923084 rot_H_z = 0.1822649537746301
Ra = 2.6777777777777776 Za = 0.23076923076923084 rot_H_r = -0.0561638786180584
Ra = 2.6777777777777776 Za = 0.23076923076923084 H_scalar_t = -0.0924026606283029
Ra = 2.6777777777777776 Za = 0.23076923076923084 H_scalar_s = 0.049785592344055274
Ra = 2.6777777777777776 Za = 0.23076923076923084 H_scalar   = -0.04261706828424762
Ra = 2.6777777777777776 Za = 0.23076923076923084 H_phi_t = -0.8150099641370719
Ra = 2.6777777777777776 Za = 0.23076923076923084 H_phi_s = 0.34039168960954047
Ra = 2.6777777777777776 Za = 0.23076923076923084 H_phi   = -0.47461827452753147
Ra = 3.0 Za = 0.23076923076923084 rot_H_z = 0.14408658788232148
Ra = 3.0 Za = 0.23076923076923084 rot_H_r = -0.04125623788858379
Ra = 3.0 Za = 0.23076923076923084 H_scalar_t = -0.07151854861044442
Ra = 3.0 Za = 0.23076923076923084 H_scalar_s = 0.037799819980207344
Ra = 3.0 Za = 0.23076923076923084 H_scalar   = -0.033718728630237074
Ra = 3.0 Za = 0.23076923076923084 H_phi_t = -0.6201703698523895
Ra = 3.0 Za = 0.23076923076923084 H_phi_s = 0.24600730355814715
Ra = 3.0 Za = 0.23076923076923084 H_phi   = -0.37416306629424234
Ra = 0.1 Za = 0.384615384615385 rot_H_z = -32.34724831846879
Ra = 0.1 Za = 0.384615384615385 rot_H_r = 0.6804580997494422
Ra = 0.1 Za = 0.384615384615385 H_scalar_t = 13.3731006732584
Ra = 0.1 Za = 0.384615384615385 H_scalar_s = -1.1936979480112226
Ra = 0.1 Za = 0.384615384615385 H_scalar   = 12.179402725247176
Ra = 0.1 Za = 0.384615384615385 H_phi_t = -3.602246541766294
Ra = 0.1 Za = 0.384615384615385 H_phi_s = 0.17945498285260866
Ra = 0.1 Za = 0.384615384615385 H_phi   = -3.4227915589136853
Ra = 0.42222222222222217 Za = 0.384615384615385 rot_H_z = -34.51821775416476
Ra = 0.42222222222222217 Za = 0.384615384615385 rot_H_r = 0.2084009776177138
Ra = 0.42222222222222217 Za = 0.384615384615385 H_scalar_t = 2.896534901840528
Ra = 0.42222222222222217 Za = 0.384615384615385 H_scalar_s = -1.0393635695832786
Ra = 0.42222222222222217 Za = 0.384615384615385 H_scalar   = 1.8571713322572494
Ra = 0.42222222222222217 Za = 0.384615384615385 H_phi_t = -3.511830567605188
Ra = 0.42222222222222217 Za = 0.384615384615385 H_phi_s = -11.86121657704414
Ra = 0.42222222222222217 Za = 0.384615384615385 H_phi   = -15.373047144649327
Ra = 0.7444444444444444 Za = 0.384615384615385 rot_H_z = -18.18561413283285
Ra = 0.7444444444444444 Za = 0.384615384615385 rot_H_r = -0.05696699000537575
Ra = 0.7444444444444444 Za = 0.384615384615385 H_scalar_t = 1.27933741643606
Ra = 0.7444444444444444 Za = 0.384615384615385 H_scalar_s = -0.7463009065916034
Ra = 0.7444444444444444 Za = 0.384615384615385 H_scalar   = 0.5330365098444566
Ra = 0.7444444444444444 Za = 0.384615384615385 H_phi_t = -3.284736866243776
Ra = 0.7444444444444444 Za = 0.384615384615385 H_phi_s = -11.508385939469125
Ra = 0.7444444444444444 Za = 0.384615384615385 H_phi   = -14.793122805712901
Ra = 1.0666666666666667 Za = 0.384615384615385 rot_H_z = -11.999731665792215
Ra = 1.0666666666666667 Za = 0.384615384615385 rot_H_r = -0.1729448323326216
Ra = 1.0666666666666667 Za = 0.384615384615385 H_scalar_t = 0.5123344792000241
Ra = 1.0666666666666667 Za = 0.384615384615385 H_scalar_s = -0.40963849071329217
Ra = 1.0666666666666667 Za = 0.384615384615385 H_scalar   = 0.10269598848673189
Ra = 1.0666666666666667 Za = 0.384615384615385 H_phi_t = -2.905776336558247
Ra = 1.0666666666666667 Za = 0.384615384615385 H_phi_s = -11.389053783489235
Ra = 1.0666666666666667 Za = 0.384615384615385 H_phi   = -14.294830120047482
Ra = 1.3888888888888888 Za = 0.384615384615385 rot_H_z = -8.889495058186093
Ra = 1.3888888888888888 Za = 0.384615384615385 rot_H_r = -0.20461304120419177
Ra = 1.3888888888888888 Za = 0.384615384615385 H_scalar_t = 0.07542971109552969
Ra = 1.3888888888888888 Za = 0.384615384615385 H_scalar_s = -0.1277778927868911
Ra = 1.3888888888888888 Za = 0.384615384615385 H_scalar   = -0.05234818169136142
Ra = 1.3888888888888888 Za = 0.384615384615385 H_phi_t = -2.410195904226466
Ra = 1.3888888888888888 Za = 0.384615384615385 H_phi_s = -11.480149470873673
Ra = 1.3888888888888888 Za = 0.384615384615385 H_phi   = -13.89034537510014
Ra = 1.711111111111111 Za = 0.384615384615385 rot_H_z = 0.2607602922585932
Ra = 1.711111111111111 Za = 0.384615384615385 rot_H_r = -0.1926069189768343
Ra = 1.711111111111111 Za = 0.384615384615385 H_scalar_t = -0.1380644993714359
Ra = 1.711111111111111 Za = 0.384615384615385 H_scalar_s = 0.03985748654261512
Ra = 1.711111111111111 Za = 0.384615384615385 H_scalar   = -0.09820701282882077
Ra = 1.711111111111111 Za = 0.384615384615385 H_phi_t = -1.885324269694884
Ra = 1.711111111111111 Za = 0.384615384615385 H_phi_s = 0.8763666484912696
Ra = 1.711111111111111 Za = 0.384615384615385 H_phi   = -1.0089576212036144
Ra = 2.033333333333333 Za = 0.384615384615385 rot_H_z = 0.256308473888185
Ra = 2.033333333333333 Za = 0.384615384615385 rot_H_r = -0.16083629471333433
Ra = 2.033333333333333 Za = 0.384615384615385 H_scalar_t = -0.2009776136184639
Ra = 2.033333333333333 Za = 0.384615384615385 H_scalar_s = 0.10103331983574249
Ra = 2.033333333333333 Za = 0.384615384615385 H_scalar   = -0.0999442937827214
Ra = 2.033333333333333 Za = 0.384615384615385 H_phi_t = -1.422017210174322
Ra = 2.033333333333333 Za = 0.384615384615385 H_phi_s = 0.6510950878999457
Ra = 2.033333333333333 Za = 0.384615384615385 H_phi   = -0.7709221222743763
Ra = 2.3555555555555556 Za = 0.384615384615385 rot_H_z = 0.2181483666844798
Ra = 2.3555555555555556 Za = 0.384615384615385 rot_H_r = -0.12480524237811041
Ra = 2.3555555555555556 Za = 0.384615384615385 H_scalar_t = -0.1891449475040539
Ra = 2.3555555555555556 Za = 0.384615384615385 H_scalar_s = 0.10264481538017534
Ra = 2.3555555555555556 Za = 0.384615384615385 H_scalar   = -0.08650013212387855
Ra = 2.3555555555555556 Za = 0.384615384615385 H_phi_t = -1.060760399301635
Ra = 2.3555555555555556 Za = 0.384615384615385 H_phi_s = 0.4667075563037364
Ra = 2.3555555555555556 Za = 0.384615384615385 H_phi   = -0.5940528429978986
Ra = 2.6777777777777776 Za = 0.384615384615385 rot_H_z = 0.175730977646385
Ra = 2.6777777777777776 Za = 0.384615384615385 rot_H_r = -0.0929827127690924
Ra = 2.6777777777777776 Za = 0.384615384615385 H_scalar_t = -0.1539288816322237
Ra = 2.6777777777777776 Za = 0.384615384615385 H_scalar_s = 0.08372992270611285
Ra = 2.6777777777777776 Za = 0.384615384615385 H_scalar   = -0.07019895892611086
Ra = 2.6777777777777776 Za = 0.384615384615385 H_phi_t = -0.7955735767940947
Ra = 2.6777777777777776 Za = 0.384615384615385 H_phi_s = 0.3324382846495775
Ra = 2.6777777777777776 Za = 0.384615384615385 H_phi   = -0.4631352921445172
Ra = 3.0 Za = 0.384615384615385 rot_H_z = 0.13866896223641462
Ra = 3.0 Za = 0.384615384615385 rot_H_r = -0.06803808907181896
Ra = 3.0 Za = 0.384615384615385 H_scalar_t = -0.1182867957929959
Ra = 3.0 Za = 0.384615384615385 H_scalar_s = 0.06278277243442965
Ra = 3.0 Za = 0.384615384615385 H_scalar   = -0.05550402335856626
Ra = 3.0 Za = 0.384615384615385 H_phi_t = -0.6044186435327631
Ra = 3.0 Za = 0.384615384615385 H_phi_s = 0.2386741508233925
Ra = 3.0 Za = 0.384615384615385 H_phi   = -0.3657444927093706
Ra = 0.1 Za = 0.5384615384615388 rot_H_z = -33.197947004058584
Ra = 0.1 Za = 0.5384615384615388 rot_H_r = 0.85292565259526
Ra = 0.1 Za = 0.5384615384615388 H_scalar_t = 19.01637774438171
Ra = 0.1 Za = 0.5384615384615388 H_scalar_s = -1.796684396817696
Ra = 0.1 Za = 0.5384615384615388 H_scalar   = 17.219693347564014
Ra = 0.1 Za = 0.5384615384615388 H_phi_t = -3.759080825900413
Ra = 0.1 Za = 0.5384615384615388 H_phi_s = 0.21694493409514337
Ra = 0.1 Za = 0.5384615384615388 H_phi   = -3.5421358918052697
Ra = 0.42222222222222217 Za = 0.5384615384615388 rot_H_z = -34.38759258999505
Ra = 0.42222222222222217 Za = 0.5384615384615388 rot_H_r = 0.177334530674488
Ra = 0.42222222222222217 Za = 0.5384615384615388 H_scalar_t = 4.136906002904289
Ra = 0.42222222222222217 Za = 0.5384615384615388 H_scalar_s = -1.5572124338405533
Ra = 0.42222222222222217 Za = 0.5384615384615388 H_scalar   = 2.5796935690637355
Ra = 0.42222222222222217 Za = 0.5384615384615388 H_phi_t = -3.686074424604852
Ra = 0.42222222222222217 Za = 0.5384615384615388 H_phi_s = -11.718077357032474
Ra = 0.42222222222222217 Za = 0.5384615384615388 H_phi   = -15.404151781637326
Ra = 0.7444444444444444 Za = 0.5384615384615388 rot_H_z = -18.069297841974493
Ra = 0.7444444444444444 Za = 0.5384615384615388 rot_H_r = -0.16223939554127842
Ra = 0.7444444444444444 Za = 0.5384615384615388 H_scalar_t = 1.829553302473651
Ra = 0.7444444444444444 Za = 0.5384615384615388 H_scalar_s = -1.1041378723751913
Ra = 0.7444444444444444 Za = 0.5384615384615388 H_scalar   = 0.7254154300984597
Ra = 0.7444444444444444 Za = 0.5384615384615388 H_phi_t = -3.468861022291795
Ra = 0.7444444444444444 Za = 0.5384615384615388 H_phi_s = -11.308429114105197
Ra = 0.7444444444444444 Za = 0.5384615384615388 H_phi   = -14.777290136396992
Ra = 1.0666666666666667 Za = 0.5384615384615388 rot_H_z = -11.935345516042965
Ra = 1.0666666666666667 Za = 0.5384615384615388 rot_H_r = -0.29136757715522377
Ra = 1.0666666666666667 Za = 0.5384615384615388 H_scalar_t = 0.7178304959742053
Ra = 1.0666666666666667 Za = 0.5384615384615388 H_scalar_s = -0.5862333283800667
Ra = 1.0666666666666667 Za = 0.5384615384615388 H_scalar   = 0.13159716759413864
Ra = 1.0666666666666667 Za = 0.5384615384615388 H_phi_t = -3.064961687754136
Ra = 1.0666666666666667 Za = 0.5384615384615388 H_phi_s = -11.194733313482388
Ra = 1.0666666666666667 Za = 0.5384615384615388 H_phi   = -14.259695001236524
Ra = 1.3888888888888888 Za = 0.5384615384615388 rot_H_z = -8.861977802200983
Ra = 1.3888888888888888 Za = 0.5384615384615388 rot_H_r = -0.311847252314976
Ra = 1.3888888888888888 Za = 0.5384615384615388 H_scalar_t = 0.07907417796832147
Ra = 1.3888888888888888 Za = 0.5384615384615388 H_scalar_s = -0.15783754398316185
Ra = 1.3888888888888888 Za = 0.5384615384615388 H_scalar   = -0.07876336601484038
Ra = 1.3888888888888888 Za = 0.5384615384615388 H_phi_t = -2.506387821679992
Ra = 1.3888888888888888 Za = 0.5384615384615388 H_phi_s = -11.344505752139298
Ra = 1.3888888888888888 Za = 0.5384615384615388 H_phi   = -13.85089357381929
Ra = 1.711111111111111 Za = 0.5384615384615388 rot_H_z = 0.2655140656178149
Ra = 1.711111111111111 Za = 0.5384615384615388 rot_H_r = -0.2811676403823138
Ra = 1.711111111111111 Za = 0.5384615384615388 H_scalar_t = -0.2226713552215886
Ra = 1.711111111111111 Za = 0.5384615384615388 H_scalar_s = 0.08395907830014204
Ra = 1.711111111111111 Za = 0.5384615384615388 H_scalar   = -0.13871227692144655
Ra = 1.711111111111111 Za = 0.5384615384615388 H_phi_t = -1.909855573798688
Ra = 1.711111111111111 Za = 0.5384615384615388 H_phi_s = 0.9372218486048798
Ra = 1.711111111111111 Za = 0.5384615384615388 H_phi   = -0.9726337251938082
Ra = 2.033333333333333 Za = 0.5384615384615388 rot_H_z = 0.24931243088053467
Ra = 2.033333333333333 Za = 0.5384615384615388 rot_H_r = -0.22882576812511402
Ra = 2.033333333333333 Za = 0.5384615384615388 H_scalar_t = -0.2977131468665947
Ra = 2.033333333333333 Za = 0.5384615384615388 H_scalar_s = 0.15881883727375068
Ra = 2.033333333333333 Za = 0.5384615384615388 H_scalar   = -0.13889430959284405
Ra = 2.033333333333333 Za = 0.5384615384615388 H_phi_t = -1.402779026487892
Ra = 2.033333333333333 Za = 0.5384615384615388 H_phi_s = 0.6617967856980496
Ra = 2.033333333333333 Za = 0.5384615384615388 H_phi   = -0.7409822407898425
Ra = 2.3555555555555556 Za = 0.5384615384615388 rot_H_z = 0.20752919041198592
Ra = 2.3555555555555556 Za = 0.5384615384615388 rot_H_r = -0.17456420773563852
Ra = 2.3555555555555556 Za = 0.5384615384615388 H_scalar_t = -0.2696205720519668
Ra = 2.3555555555555556 Za = 0.5384615384615388 H_scalar_s = 0.15031854081447948
Ra = 2.3555555555555556 Za = 0.5384615384615388 H_scalar   = -0.11930203123748734
Ra = 2.3555555555555556 Za = 0.5384615384615388 H_phi_t = -1.028470461114062
Ra = 2.3555555555555556 Za = 0.5384615384615388 H_phi_s = 0.4574518131235492
Ra = 2.3555555555555556 Za = 0.5384615384615388 H_phi   = -0.5710186479905128
Ra = 2.6777777777777776 Za = 0.5384615384615388 rot_H_z = 0.16567520733054691
Ra = 2.6777777777777776 Za = 0.5384615384615388 rot_H_r = -0.1287223460068187
Ra = 2.6777777777777776 Za = 0.5384615384615388 H_scalar_t = -0.2149633730753944
Ra = 2.6777777777777776 Za = 0.5384615384615388 H_scalar_s = 0.11845579457576921
Ra = 2.6777777777777776 Za = 0.5384615384615388 H_scalar   = -0.09650757849962519
Ra = 2.6777777777777776 Za = 0.5384615384615388 H_phi_t = -0.765449115051278
Ra = 2.6777777777777776 Za = 0.5384615384615388 H_phi_s = 0.3193858913839387
Ra = 2.6777777777777776 Za = 0.5384615384615388 H_phi   = -0.4460632236673393
Ra = 3.0 Za = 0.5384615384615388 rot_H_z = 0.1305323301294179
Ra = 3.0 Za = 0.5384615384615388 rot_H_r = -0.0936862053152887
Ra = 3.0 Za = 0.5384615384615388 H_scalar_t = -0.1635307529265078
Ra = 3.0 Za = 0.5384615384615388 H_scalar_s = 0.08728414509128318
Ra = 3.0 Za = 0.5384615384615388 H_scalar   = -0.0762466078352246
Ra = 3.0 Za = 0.5384615384615388 H_phi_t = -0.5806453684415425
Ra = 3.0 Za = 0.5384615384615388 H_phi_s = 0.22735906397551764
Ra = 3.0 Za = 0.5384615384615388 H_phi   = -0.3532863044660248
Ra = 0.1 Za = 0.6923076923076925 rot_H_z = -34.05441297202198
Ra = 0.1 Za = 0.6923076923076925 rot_H_r = 0.8645615917186222
Ra = 0.1 Za = 0.6923076923076925 H_scalar_t = 24.93651583972186
Ra = 0.1 Za = 0.6923076923076925 H_scalar_s = -2.541768968948791
Ra = 0.1 Za = 0.6923076923076925 H_scalar   = 22.39474687077307
Ra = 0.1 Za = 0.6923076923076925 H_phi_t = -3.950332810480117
Ra = 0.1 Za = 0.6923076923076925 H_phi_s = 0.2732108116644181
Ra = 0.1 Za = 0.6923076923076925 H_phi   = -3.677121998815699
Ra = 0.42222222222222217 Za = 0.6923076923076925 rot_H_z = -34.1706104049777
Ra = 0.42222222222222217 Za = 0.6923076923076925 rot_H_r = -0.0013785262203709348
Ra = 0.42222222222222217 Za = 0.6923076923076925 H_scalar_t = 5.465927760914233
Ra = 0.42222222222222217 Za = 0.6923076923076925 H_scalar_s = -2.1900573391290754
Ra = 0.42222222222222217 Za = 0.6923076923076925 H_scalar   = 3.2758704217851573
Ra = 0.42222222222222217 Za = 0.6923076923076925 H_phi_t = -3.916674859778129
Ra = 0.42222222222222217 Za = 0.6923076923076925 H_phi_s = -11.50341954803349
Ra = 0.42222222222222217 Za = 0.6923076923076925 H_phi   = -15.420094407811618
Ra = 0.7444444444444444 Za = 0.6923076923076925 rot_H_z = -17.916375848001348
Ra = 0.7444444444444444 Za = 0.6923076923076925 rot_H_r = -0.36261688491727573
Ra = 0.7444444444444444 Za = 0.6923076923076925 H_scalar_t = 2.424898740823778
Ra = 0.7444444444444444 Za = 0.6923076923076925 H_scalar_s = -1.5278722933765678
Ra = 0.7444444444444444 Za = 0.6923076923076925 H_scalar   = 0.8970264474472103
Ra = 0.7444444444444444 Za = 0.6923076923076925 H_phi_t = -3.727811946755596
Ra = 0.7444444444444444 Za = 0.6923076923076925 H_phi_s = -11.010587987284094
Ra = 0.7444444444444444 Za = 0.6923076923076925 H_phi   = -14.73839993403969
Ra = 1.0666666666666667 Za = 0.6923076923076925 rot_H_z = -11.859760562803608
Ra = 1.0666666666666667 Za = 0.6923076923076925 rot_H_r = -0.4609625048372539
Ra = 1.0666666666666667 Za = 0.6923076923076925 H_scalar_t = 0.9253797281493866
Ra = 1.0666666666666667 Za = 0.6923076923076925 H_scalar_s = -0.7757669938491336
Ra = 1.0666666666666667 Za = 0.6923076923076925 H_scalar   = 0.14961273430025301
Ra = 1.0666666666666667 Za = 0.6923076923076925 H_phi_t = -3.295959332375039
Ra = 1.0666666666666667 Za = 0.6923076923076925 H_phi_s = -10.906667044432023
Ra = 1.0666666666666667 Za = 0.6923076923076925 H_phi   = -14.202626376807062
Ra = 1.3888888888888888 Za = 0.6923076923076925 rot_H_z = -8.833338909123519
Ra = 1.3888888888888888 Za = 0.6923076923076925 rot_H_r = -0.4437689760496166
Ra = 1.3888888888888888 Za = 0.6923076923076925 H_scalar_t = 0.05057225797180196
Ra = 1.3888888888888888 Za = 0.6923076923076925 H_scalar_s = -0.16015436044143816
Ra = 1.3888888888888888 Za = 0.6923076923076925 H_scalar   = -0.1095821024696362
Ra = 1.3888888888888888 Za = 0.6923076923076925 H_phi_t = -2.643834282937514
Ra = 1.3888888888888888 Za = 0.6923076923076925 H_phi_s = -11.149283712406362
Ra = 1.3888888888888888 Za = 0.6923076923076925 H_phi   = -13.793117995343875
Ra = 1.711111111111111 Za = 0.6923076923076925 rot_H_z = 0.26653777710887727
Ra = 1.711111111111111 Za = 0.6923076923076925 rot_H_r = -0.38004556632178244
Ra = 1.711111111111111 Za = 0.6923076923076925 H_scalar_t = -0.3413219797039019
Ra = 1.711111111111111 Za = 0.6923076923076925 H_scalar_s = 0.16160730417872893
Ra = 1.711111111111111 Za = 0.6923076923076925 H_scalar   = -0.17971467552517295
Ra = 1.711111111111111 Za = 0.6923076923076925 H_phi_t = -1.935872031993092
Ra = 1.711111111111111 Za = 0.6923076923076925 H_phi_s = 1.013958720896687
Ra = 1.711111111111111 Za = 0.6923076923076925 H_phi   = -0.9219133110964051
Ra = 2.033333333333333 Za = 0.6923076923076925 rot_H_z = 0.2368055246902272
Ra = 2.033333333333333 Za = 0.6923076923076925 rot_H_r = -0.2993302267028579
Ra = 2.033333333333333 Za = 0.6923076923076925 H_scalar_t = -0.4104691073778382
Ra = 2.033333333333333 Za = 0.6923076923076925 H_scalar_s = 0.2340948679525452
Ra = 2.033333333333333 Za = 0.6923076923076925 H_scalar   = -0.176374239425293
Ra = 2.033333333333333 Za = 0.6923076923076925 H_phi_t = -1.36761018234696
Ra = 2.033333333333333 Za = 0.6923076923076925 H_phi_s = 0.6672268548515117
Ra = 2.033333333333333 Za = 0.6923076923076925 H_phi   = -0.7003833274954483
Ra = 2.3555555555555556 Za = 0.6923076923076925 rot_H_z = 0.1919650867043886
Ra = 2.3555555555555556 Za = 0.6923076923076925 rot_H_r = -0.22343195186327708
Ra = 2.3555555555555556 Za = 0.6923076923076925 H_scalar_t = -0.3533976152418934
Ra = 2.3555555555555556 Za = 0.6923076923076925 H_scalar_s = 0.2032957932600935
Ra = 2.3555555555555556 Za = 0.6923076923076925 H_scalar   = -0.1501018219817999
Ra = 2.3555555555555556 Za = 0.6923076923076925 H_phi_t = -0.9804000695477117
Ra = 2.3555555555555556 Za = 0.6923076923076925 H_phi_s = 0.4400146341293554
Ra = 2.3555555555555556 Za = 0.6923076923076925 H_phi   = -0.5403854354183564
Ra = 2.6777777777777776 Za = 0.6923076923076925 rot_H_z = 0.15187747924296385
Ra = 2.6777777777777776 Za = 0.6923076923076925 rot_H_r = -0.16267994103080535
Ra = 2.6777777777777776 Za = 0.6923076923076925 H_scalar_t = -0.2745537910999158
Ra = 2.6777777777777776 Za = 0.6923076923076925 H_scalar_s = 0.1535698579263941
Ra = 2.6777777777777776 Za = 0.6923076923076925 H_scalar   = -0.12098393317352168
Ra = 2.6777777777777776 Za = 0.6923076923076925 H_phi_t = -0.723689194364444
Ra = 2.6777777777777776 Za = 0.6923076923076925 H_phi_s = 0.3000697901744873
Ra = 2.6777777777777776 Za = 0.6923076923076925 H_phi   = -0.4236194041899567
Ra = 3.0 Za = 0.6923076923076925 rot_H_z = 0.11970663823743377
Ra = 3.0 Za = 0.6923076923076925 rot_H_r = -0.11765885706893803
Ra = 3.0 Za = 0.6923076923076925 H_scalar_t = -0.2063492848626934
Ra = 3.0 Za = 0.6923076923076925 H_scalar_s = 0.1108194958067209
Ra = 3.0 Za = 0.6923076923076925 H_scalar   = -0.09552978905597251
Ra = 3.0 Za = 0.6923076923076925 H_phi_t = -0.54880059447909
Ra = 3.0 Za = 0.6923076923076925 H_phi_s = 0.2117968113388926
Ra = 3.0 Za = 0.6923076923076925 H_phi   = -0.3370037831401974
Ra = 0.1 Za = 0.8461538461538463 rot_H_z = -34.53735368816659
Ra = 0.1 Za = 0.8461538461538463 rot_H_r = 0.5437992488570388
Ra = 0.1 Za = 0.8461538461538463 H_scalar_t = 31.17465955853827
Ra = 0.1 Za = 0.8461538461538463 H_scalar_s = -3.4952907917410796
Ra = 0.1 Za = 0.8461538461538463 H_scalar   = 27.67936876679719
Ra = 0.1 Za = 0.8461538461538463 H_phi_t = -4.145691036088498
Ra = 0.1 Za = 0.8461538461538463 H_phi_s = 0.3542765922430681
Ra = 0.1 Za = 0.8461538461538463 H_phi   = -3.79141444384543
Ra = 0.42222222222222217 Za = 0.8461538461538463 rot_H_z = -33.83573695991313
Ra = 0.42222222222222217 Za = 0.8461538461538463 rot_H_r = -0.42201976802981966
Ra = 0.42222222222222217 Za = 0.8461538461538463 H_scalar_t = 6.921141182174119
Ra = 0.42222222222222217 Za = 0.8461538461538463 H_scalar_s = -2.9911492227288754
Ra = 0.42222222222222217 Za = 0.8461538461538463 H_scalar   = 3.9299919594452435
Ra = 0.42222222222222217 Za = 0.8461538461538463 H_phi_t = -4.199058709300806
Ra = 0.42222222222222217 Za = 0.8461538461538463 H_phi_s = -11.19233574084516
Ra = 0.42222222222222217 Za = 0.8461538461538463 H_phi   = -15.391394450145965
Ra = 0.7444444444444444 Za = 0.8461538461538463 rot_H_z = -17.734784948775946
Ra = 0.7444444444444444 Za = 0.8461538461538463 rot_H_r = -0.7019114084587961
Ra = 0.7444444444444444 Za = 0.8461538461538463 H_scalar_t = 3.088900408925063
Ra = 0.7444444444444444 Za = 0.8461538461538463 H_scalar_s = -2.046148188363637
Ra = 0.7444444444444444 Za = 0.8461538461538463 H_scalar   = 1.0427522205614257
Ra = 0.7444444444444444 Za = 0.8461538461538463 H_phi_t = -4.074529378250213
Ra = 0.7444444444444444 Za = 0.8461538461538463 H_phi_s = -10.584110448046289
Ra = 0.7444444444444444 Za = 0.8461538461538463 H_phi   = -14.658639826296502
Ra = 1.0666666666666667 Za = 0.8461538461538463 rot_H_z = -11.785049122196646
Ra = 1.0666666666666667 Za = 0.8461538461538463 rot_H_r = -0.6994087066603139
Ra = 1.0666666666666667 Za = 0.8461538461538463 H_scalar_t = 1.139326692034339
Ra = 1.0666666666666667 Za = 0.8461538461538463 H_scalar_s = -0.983454221127346
Ra = 1.0666666666666667 Za = 0.8461538461538463 H_scalar   = 0.15587247090699297
Ra = 1.0666666666666667 Za = 0.8461538461538463 H_phi_t = -3.619543125532362
Ra = 1.0666666666666667 Za = 0.8461538461538463 H_phi_s = -10.494768258766978
Ra = 1.0666666666666667 Za = 0.8461538461538463 H_phi   = -14.11431138429934
Ra = 1.3888888888888888 Za = 0.8461538461538463 rot_H_z = -8.811519330994088
Ra = 1.3888888888888888 Za = 0.8461538461538463 rot_H_r = -0.6065606983136953
Ra = 1.3888888888888888 Za = 0.8461538461538463 H_scalar_t = -0.02960914544204848
Ra = 1.3888888888888888 Za = 0.8461538461538463 H_scalar_s = -0.11479401993162774
Ra = 1.3888888888888888 Za = 0.8461538461538463 H_scalar   = -0.14440316537367623
Ra = 1.3888888888888888 Za = 0.8461538461538463 H_phi_t = -2.834016372542913
Ra = 1.3888888888888888 Za = 0.8461538461538463 H_phi_s = -10.878723208538707
Ra = 1.3888888888888888 Za = 0.8461538461538463 H_phi   = -13.712739581081621
Ra = 1.711111111111111 Za = 0.8461538461538463 rot_H_z = 0.25900811772726295
Ra = 1.711111111111111 Za = 0.8461538461538463 rot_H_r = -0.49019976787142
Ra = 1.711111111111111 Za = 0.8461538461538463 H_scalar_t = -0.5116608015525077
Ra = 1.711111111111111 Za = 0.8461538461538463 H_scalar_s = 0.29137285198447205
Ra = 1.711111111111111 Za = 0.8461538461538463 H_scalar   = -0.22028794956803566
Ra = 1.711111111111111 Za = 0.8461538461538463 H_phi_t = -1.953341593385184
Ra = 1.711111111111111 Za = 0.8461538461538463 H_phi_s = 1.0982266631502196
Ra = 1.711111111111111 Za = 0.8461538461538463 H_phi   = -0.8551149302349645
Ra = 2.033333333333333 Za = 0.8461538461538463 rot_H_z = 0.21616084218387088
Ra = 2.033333333333333 Za = 0.8461538461538463 rot_H_r = -0.3712543111338601
Ra = 2.033333333333333 Za = 0.8461538461538463 H_scalar_t = -0.5422160871739997
Ra = 2.033333333333333 Za = 0.8461538461538463 H_scalar_s = 0.3308751377222592
Ra = 2.033333333333333 Za = 0.8461538461538463 H_scalar   = -0.21134094945174053
Ra = 2.033333333333333 Za = 0.8461538461538463 H_phi_t = -1.306224427623741
Ra = 2.033333333333333 Za = 0.8461538461538463 H_phi_s = 0.6574194931637596
Ra = 2.033333333333333 Za = 0.8461538461538463 H_phi   = -0.6488049344599813
Ra = 2.3555555555555556 Za = 0.8461538461538463 rot_H_z = 0.17052251944891528
Ra = 2.3555555555555556 Za = 0.8461538461538463 rot_H_r = -0.2701113352802055
Ra = 2.3555555555555556 Za = 0.8461538461538463 H_scalar_t = -0.4388537031639661
Ra = 2.3555555555555556 Za = 0.8461538461538463 H_scalar_s = 0.26078724801019415
Ra = 2.3555555555555556 Za = 0.8461538461538463 H_scalar   = -0.17806645515377195
Ra = 2.3555555555555556 Za = 0.8461538461538463 H_phi_t = -0.9125730743983926
Ra = 2.3555555555555556 Za = 0.8461538461538463 H_phi_s = 0.4101917796934287
Ra = 2.3555555555555556 Za = 0.8461538461538463 H_phi   = -0.502381294704964
Ra = 2.6777777777777776 Za = 0.8461538461538463 rot_H_z = 0.13418991950015874
Ra = 2.6777777777777776 Za = 0.8461538461538463 rot_H_r = -0.1939252590402306
Ra = 2.6777777777777776 Za = 0.8461538461538463 H_scalar_t = -0.3310267180179803
Ra = 2.6777777777777776 Za = 0.8461538461538463 H_scalar_s = 0.18798741709726607
Ra = 2.6777777777777776 Za = 0.8461538461538463 H_scalar   = -0.1430393009207142
Ra = 2.6777777777777776 Za = 0.8461538461538463 H_phi_t = -0.6694421719802196
Ra = 2.6777777777777776 Za = 0.8461538461538463 H_phi_s = 0.27329560695335964
Ra = 2.6777777777777776 Za = 0.8461538461538463 H_phi   = -0.39614656502685996
Ra = 3.0 Za = 0.8461538461538463 rot_H_z = 0.10629702883139774
Ra = 3.0 Za = 0.8461538461538463 rot_H_r = -0.1393551182531091
Ra = 3.0 Za = 0.8461538461538463 H_scalar_t = -0.2456134124876788
Ra = 3.0 Za = 0.8461538461538463 H_scalar_s = 0.13266670618749132
Ra = 3.0 Za = 0.8461538461538463 H_scalar   = -0.11294670630018747
Ra = 3.0 Za = 0.8461538461538463 H_phi_t = -0.5090192382861067
Ra = 3.0 Za = 0.8461538461538463 H_phi_s = 0.19181898669902475
Ra = 3.0 Za = 0.8461538461538463 H_phi   = -0.317200251587082
Ra = 0.1 Za = 1.0 rot_H_z = -33.93345907156491
Ra = 0.1 Za = 1.0 rot_H_r = -0.47238997176672803
Ra = 0.1 Za = 1.0 H_scalar_t = 37.71116299637264
Ra = 0.1 Za = 1.0 H_scalar_s = -4.744296214351684
Ra = 0.1 Za = 1.0 H_scalar   = 32.96686678202096
Ra = 0.1 Za = 1.0 H_phi_t = -4.275821592833589
Ra = 0.1 Za = 1.0 H_phi_s = 0.4663908325757501
Ra = 0.1 Za = 1.0 H_phi   = -3.8094307602578388
Ra = 0.42222222222222217 Za = 1.0 rot_H_z = -33.3592555007403
Ra = 0.42222222222222217 Za = 1.0 rot_H_r = -1.2209678103094745
Ra = 0.42222222222222217 Za = 1.0 H_scalar_t = 8.555688153886557
Ra = 0.42222222222222217 Za = 1.0 H_scalar_s = -4.033813107007857
Ra = 0.42222222222222217 Za = 1.0 H_scalar   = 4.5218750468787
Ra = 0.42222222222222217 Za = 1.0 H_phi_t = -4.52538086207593
Ra = 0.42222222222222217 Za = 1.0 H_phi_s = -10.74553566257185
Ra = 0.42222222222222217 Za = 1.0 H_phi   = -15.270916524647781
Ra = 0.7444444444444444 Za = 1.0 rot_H_z = -17.542204288619345
Ra = 0.7444444444444444 Za = 1.0 rot_H_r = -1.2325093225923451
Ra = 0.7444444444444444 Za = 1.0 H_scalar_t = 3.853897671565947
Ra = 0.7444444444444444 Za = 1.0 H_scalar_s = -2.694510293228002
Ra = 0.7444444444444444 Za = 1.0 H_scalar   = 1.1593873783379451
Ra = 0.7444444444444444 Za = 1.0 H_phi_t = -4.526430252099652
Ra = 0.7444444444444444 Za = 1.0 H_phi_s = -9.986291443985841
Ra = 0.7444444444444444 Za = 1.0 H_phi   = -14.512721696085492
Ra = 1.0666666666666667 Za = 1.0 rot_H_z = -11.730299639131836
Ra = 1.0666666666666667 Za = 1.0 rot_H_r = -1.0294463300011056
Ra = 1.0666666666666667 Za = 1.0 H_scalar_t = 1.371611148406298
Ra = 1.0666666666666667 Za = 1.0 H_scalar_s = -1.2197359751606895
Ra = 1.0666666666666667 Za = 1.0 H_scalar   = 0.1518751732456085
Ra = 1.0666666666666667 Za = 1.0 H_phi_t = -4.068005042215927
Ra = 1.0666666666666667 Za = 1.0 H_phi_s = -9.914520733433612
Ra = 1.0666666666666667 Za = 1.0 H_phi   = -13.982525775649538
Ra = 1.3888888888888888 Za = 1.0 rot_H_z = -8.807735683910828
Ra = 1.3888888888888888 Za = 1.0 rot_H_r = -0.8041842505551249
Ra = 1.3888888888888888 Za = 1.0 H_scalar_t = -0.1946114532098388
Ra = 1.3888888888888888 Za = 1.0 H_scalar_s = 0.013249285696705915
Ra = 1.3888888888888888 Za = 1.0 H_scalar   = -0.1813621675131329
Ra = 1.3888888888888888 Za = 1.0 H_phi_t = -3.099678031902088
Ra = 1.3888888888888888 Za = 1.0 H_phi_s = -10.505010796389318
Ra = 1.3888888888888888 Za = 1.0 H_phi   = -13.604688828291405
Ra = 1.711111111111111 Za = 1.0 rot_H_z = 0.23650092573376535
Ra = 1.711111111111111 Za = 1.0 rot_H_r = -0.610506425135995
Ra = 1.711111111111111 Za = 1.0 H_scalar_t = -0.7595537963306607
Ra = 1.711111111111111 Za = 1.0 H_scalar_s = 0.5009088720636865
Ra = 1.711111111111111 Za = 1.0 H_scalar   = -0.25864492426697416
Ra = 1.711111111111111 Za = 1.0 H_phi_t = -1.940245109629987
Ra = 1.711111111111111 Za = 1.0 H_phi_s = 1.169689063145495
Ra = 1.711111111111111 Za = 1.0 H_phi   = -0.770556046484492
Ra = 2.033333333333333 Za = 1.0 rot_H_z = 0.18436901412943252
Ra = 2.033333333333333 Za = 1.0 rot_H_r = -0.44178064219817614
Ra = 2.033333333333333 Za = 1.0 H_scalar_t = -0.6918728573783914
Ra = 2.033333333333333 Za = 1.0 H_scalar_s = 0.44955943331695347
Ra = 2.033333333333333 Za = 1.0 H_scalar   = -0.24231342406143797
Ra = 2.033333333333333 Za = 1.0 H_phi_t = -1.203436692334879
Ra = 2.033333333333333 Za = 1.0 H_phi_s = 0.6172180622233459
Ra = 2.033333333333333 Za = 1.0 H_phi   = -0.5862186301115331
Ra = 2.3555555555555556 Za = 1.0 rot_H_z = 0.1424588720077652
Ra = 2.3555555555555556 Za = 1.0 rot_H_r = -0.31256960971593994
Ra = 2.3555555555555556 Za = 1.0 H_scalar_t = -0.5219012265204747
Ra = 2.3555555555555556 Za = 1.0 H_scalar_s = 0.31967145747719683
Ra = 2.3555555555555556 Za = 1.0 H_scalar   = -0.20222976904327783
Ra = 2.3555555555555556 Za = 1.0 H_phi_t = -0.821016271143203
Ra = 2.3555555555555556 Za = 1.0 H_phi_s = 0.36352684074529984
Ra = 2.3555555555555556 Za = 1.0 H_phi   = -0.45748943039790313
Ra = 2.6777777777777776 Za = 1.0 rot_H_z = 0.11265988387987752
Ra = 2.6777777777777776 Za = 1.0 rot_H_r = -0.22131305824230124
Ra = 2.6777777777777776 Za = 1.0 H_scalar_t = -0.3819125766739295
Ra = 2.6777777777777776 Za = 1.0 H_scalar_s = 0.21983705290851518
Ra = 2.6777777777777776 Za = 1.0 H_scalar   = -0.16207552376541434
Ra = 2.6777777777777776 Za = 1.0 H_phi_t = -0.6023724246275025
Ra = 2.6777777777777776 Za = 1.0 H_phi_s = 0.23822474511240177
Ra = 2.6777777777777776 Za = 1.0 H_phi   = -0.36414767951510074
Ra = 3.0 Za = 1.0 rot_H_z = 0.09052756812976953
Ra = 3.0 Za = 1.0 rot_H_r = -0.15813900141779813
Ra = 3.0 Za = 1.0 H_scalar_t = -0.2800020007617741
Ra = 3.0 Za = 1.0 H_scalar_s = 0.15188672119329572
Ra = 3.0 Za = 1.0 H_scalar   = -0.1281152795684784
Ra = 3.0 Za = 1.0 H_phi_t = -0.4617698170536866
Ra = 3.0 Za = 1.0 H_phi_s = 0.16749515698956596
Ra = 3.0 Za = 1.0 H_phi   = -0.2942746600641206
Ra = 0.1 Za = 1.1538461538461542 rot_H_z = -30.958336204532063
Ra = 0.1 Za = 1.1538461538461542 rot_H_r = -2.9243963797757995
Ra = 0.1 Za = 1.1538461538461542 H_scalar_t = 44.38695736082195
Ra = 0.1 Za = 1.1538461538461542 H_scalar_s = -6.386767614245849
Ra = 0.1 Za = 1.1538461538461542 H_scalar   = 38.000189746576105
Ra = 0.1 Za = 1.1538461538461542 H_phi_t = -4.175245156068297
Ra = 0.1 Za = 1.1538461538461542 H_phi_s = 0.6019421019743075
Ra = 0.1 Za = 1.1538461538461542 H_phi   = -3.57330305409399
Ra = 0.42222222222222217 Za = 1.1538461538461542 rot_H_z = -32.746200757706085
Ra = 0.42222222222222217 Za = 1.1538461538461542 rot_H_r = -2.575105187915557
Ra = 0.42222222222222217 Za = 1.1538461538461542 H_scalar_t = 10.4565594742804
Ra = 0.42222222222222217 Za = 1.1538461538461542 H_scalar_s = -5.426937871528097
Ra = 0.42222222222222217 Za = 1.1538461538461542 H_scalar   = 5.029621602752303
Ra = 0.42222222222222217 Za = 1.1538461538461542 H_phi_t = -4.89340358990882
Ra = 0.42222222222222217 Za = 1.1538461538461542 H_phi_s = -10.093859112044488
Ra = 0.42222222222222217 Za = 1.1538461538461542 H_phi   = -14.987262701953307
Ra = 0.7444444444444444 Za = 1.1538461538461542 rot_H_z = -17.37122273621171
Ra = 0.7444444444444444 Za = 1.1538461538461542 rot_H_r = -2.019264225237306
Ra = 0.7444444444444444 Za = 1.1538461538461542 H_scalar_t = 4.759814640029566
Ra = 0.7444444444444444 Za = 1.1538461538461542 H_scalar_s = -3.5122997217378056
Ra = 0.7444444444444444 Za = 1.1538461538461542 H_scalar   = 1.2475149182917602
Ra = 0.7444444444444444 Za = 1.1538461538461542 H_phi_t = -5.103938471791853
Ra = 0.7444444444444444 Za = 1.1538461538461542 H_phi_s = -9.1623642077112
Ra = 0.7444444444444444 Za = 1.1538461538461542 H_phi   = -14.266302679503053
Ra = 1.0666666666666667 Za = 1.1538461538461542 rot_H_z = -11.723461662244818
Ra = 1.0666666666666667 Za = 1.1538461538461542 rot_H_r = -1.4695164762154542
Ra = 1.0666666666666667 Za = 1.1538461538461542 H_scalar_t = 1.654180224185589
Ra = 1.0666666666666667 Za = 1.1538461538461542 H_scalar_s = -1.511457370554893
Ra = 1.0666666666666667 Za = 1.1538461538461542 H_scalar   = 0.14272285363069592
Ra = 1.0666666666666667 Za = 1.1538461538461542 H_phi_t = -4.68704204706093
Ra = 1.0666666666666667 Za = 1.1538461538461542 H_phi_s = -9.104830233141978
Ra = 1.0666666666666667 Za = 1.1538461538461542 H_phi   = -13.79187228020291
Ra = 1.3888888888888888 Za = 1.1538461538461542 rot_H_z = -8.837644921571364
Ra = 1.3888888888888888 Za = 1.1538461538461542 rot_H_r = -1.0389588046466982
Ra = 1.3888888888888888 Za = 1.1538461538461542 H_scalar_t = -0.5063336000758097
Ra = 1.3888888888888888 Za = 1.1538461538461542 H_scalar_s = 0.28978453900175083
Ra = 1.3888888888888888 Za = 1.1538461538461542 H_scalar   = -0.2165490610740589
Ra = 1.3888888888888888 Za = 1.1538461538461542 H_phi_t = -3.495131425996283
Ra = 1.3888888888888888 Za = 1.1538461538461542 H_phi_s = -9.968253692768192
Ra = 1.3888888888888888 Za = 1.1538461538461542 H_phi   = -13.463385118764474
Ra = 1.711111111111111 Za = 1.1538461538461542 rot_H_z = 0.19043917955302092
Ra = 1.711111111111111 Za = 1.1538461538461542 rot_H_r = -0.7361074687049443
Ra = 1.711111111111111 Za = 1.1538461538461542 H_scalar_t = -1.121113591667999
Ra = 1.711111111111111 Za = 1.1538461538461542 H_scalar_s = 0.829258358463401
Ra = 1.711111111111111 Za = 1.1538461538461542 H_scalar   = -0.29185523320459805
Ra = 1.711111111111111 Za = 1.1538461538461542 H_phi_t = -1.843800830268872
Ra = 1.711111111111111 Za = 1.1538461538461542 H_phi_s = 1.1768180742856211
Ra = 1.711111111111111 Za = 1.1538461538461542 H_phi   = -0.6669827559832509
Ra = 2.033333333333333 Za = 1.1538461538461542 rot_H_z = 0.13864322046431676
Ra = 2.033333333333333 Za = 1.1538461538461542 rot_H_r = -0.5055882219478802
Ra = 2.033333333333333 Za = 1.1538461538461542 H_scalar_t = -0.848670421562889
Ra = 2.033333333333333 Za = 1.1538461538461542 H_scalar_s = 0.5813177993680361
Ra = 2.033333333333333 Za = 1.1538461538461542 H_scalar   = -0.2673526221948529
Ra = 2.033333333333333 Za = 1.1538461538461542 H_phi_t = -1.039952963675691
Ra = 2.033333333333333 Za = 1.1538461538461542 H_phi_s = 0.5267415613182722
Ra = 2.033333333333333 Za = 1.1538461538461542 H_phi   = -0.5132114023574188
Ra = 2.3555555555555556 Za = 1.1538461538461542 rot_H_z = 0.10761718673831527
Ra = 2.3555555555555556 Za = 1.1538461538461542 rot_H_r = -0.3480550078828948
Ra = 2.3555555555555556 Za = 1.1538461538461542 H_scalar_t = -0.5953911650919022
Ra = 2.3555555555555556 Za = 1.1538461538461542 H_scalar_s = 0.3738406446140359
Ra = 2.3555555555555556 Za = 1.1538461538461542 H_scalar   = -0.22155052047786628
Ra = 2.3555555555555556 Za = 1.1538461538461542 H_phi_t = -0.7033689302437774
Ra = 2.3555555555555556 Za = 1.1538461538461542 H_phi_s = 0.29680608607413905
Ra = 2.3555555555555556 Za = 1.1538461538461542 H_phi   = -0.4065628441696384
Ra = 2.6777777777777776 Za = 1.1538461538461542 rot_H_z = 0.08766197111463406
Ra = 2.6777777777777776 Za = 1.1538461538461542 rot_H_r = -0.24357176474844944
Ra = 2.6777777777777776 Za = 1.1538461538461542 H_scalar_t = -0.4240927217897345
Ra = 2.6777777777777776 Za = 1.1538461538461542 H_scalar_s = 0.2465674290339257
Ra = 2.6777777777777776 Za = 1.1538461538461542 H_scalar   = -0.1775252927558088
Ra = 2.6777777777777776 Za = 1.1538461538461542 H_phi_t = -0.5231777573883643
Ra = 2.6777777777777776 Za = 1.1538461538461542 H_phi_s = 0.19486441207239835
Ra = 2.6777777777777776 Za = 1.1538461538461542 H_phi   = -0.3283133453159659
Ra = 3.0 Za = 1.1538461538461542 rot_H_z = 0.0727774519445964
Ra = 3.0 Za = 1.1538461538461542 rot_H_r = -0.1733903897090041
Ra = 3.0 Za = 1.1538461538461542 H_scalar_t = -0.3081173326085822
Ra = 3.0 Za = 1.1538461538461542 H_scalar_s = 0.16741785958897148
Ra = 3.0 Za = 1.1538461538461542 H_scalar   = -0.14069947301961072
Ra = 3.0 Za = 1.1538461538461542 H_phi_t = -0.4079906450124911
Ra = 3.0 Za = 1.1538461538461542 H_phi_s = 0.1392672428953161
Ra = 3.0 Za = 1.1538461538461542 H_phi   = -0.268723402117175
Ra = 0.1 Za = 1.3076923076923084 rot_H_z = -23.626466984300524
Ra = 0.1 Za = 1.3076923076923084 rot_H_r = -7.796730027903489
Ra = 0.1 Za = 1.3076923076923084 H_scalar_t = 50.68531347697062
Ra = 0.1 Za = 1.3076923076923084 H_scalar_s = -8.415889579600812
Ra = 0.1 Za = 1.3076923076923084 H_scalar   = 42.269423897369805
Ra = 0.1 Za = 1.3076923076923084 H_phi_t = -3.439267423247466
Ra = 0.1 Za = 1.3076923076923084 H_phi_s = 0.6569980294907654
Ra = 0.1 Za = 1.3076923076923084 H_phi   = -2.7822693937567005
Ra = 0.42222222222222217 Za = 1.3076923076923084 rot_H_z = -32.03042280244804
Ra = 0.42222222222222217 Za = 1.3076923076923084 rot_H_r = -4.6932384778155125
Ra = 0.42222222222222217 Za = 1.3076923076923084 H_scalar_t = 12.78747189684218
Ra = 0.42222222222222217 Za = 1.3076923076923084 H_scalar_s = -7.35266900146553
Ra = 0.42222222222222217 Za = 1.3076923076923084 H_scalar   = 5.43480289537665
Ra = 0.42222222222222217 Za = 1.3076923076923084 H_phi_t = -5.369837646598262
Ra = 0.42222222222222217 Za = 1.3076923076923084 H_phi_s = -9.06968539998248
Ra = 0.42222222222222217 Za = 1.3076923076923084 H_phi   = -14.439523046580742
Ra = 0.7444444444444444 Za = 1.3076923076923084 rot_H_z = -17.278839030402914
Ra = 0.7444444444444444 Za = 1.3076923076923084 rot_H_r = -3.129337210455656
Ra = 0.7444444444444444 Za = 1.3076923076923084 H_scalar_t = 5.84276372943733
Ra = 0.7444444444444444 Za = 1.3076923076923084 H_scalar_s = -4.528338379100852
Ra = 0.7444444444444444 Za = 1.3076923076923084 H_scalar   = 1.314425350336478
Ra = 0.7444444444444444 Za = 1.3076923076923084 H_phi_t = -5.821357991371782
Ra = 0.7444444444444444 Za = 1.3076923076923084 H_phi_s = -8.053429648232767
Ra = 0.7444444444444444 Za = 1.3076923076923084 H_phi   = -13.874787639604548
Ra = 1.0666666666666667 Za = 1.3076923076923084 rot_H_z = -11.800054336664275
Ra = 1.0666666666666667 Za = 1.3076923076923084 rot_H_r = -2.043176040122619
Ra = 1.0666666666666667 Za = 1.3076923076923084 H_scalar_t = 2.064606201474588
Ra = 1.0666666666666667 Za = 1.3076923076923084 H_scalar_s = -1.9261449614301038
Ra = 1.0666666666666667 Za = 1.3076923076923084 H_scalar   = 0.13846124004448424
Ra = 1.0666666666666667 Za = 1.3076923076923084 H_phi_t = -5.522952028342936
Ra = 1.0666666666666667 Za = 1.3076923076923084 H_phi_s = -8.00060536909434
Ra = 1.0666666666666667 Za = 1.3076923076923084 H_phi   = -13.523557397437276
Ra = 1.3888888888888888 Za = 1.3076923076923084 rot_H_z = -8.924834880398738
Ra = 1.3888888888888888 Za = 1.3076923076923084 rot_H_r = -1.3133392390161553
Ra = 1.3888888888888888 Za = 1.3076923076923084 H_scalar_t = -1.085581242893105
Ra = 1.3888888888888888 Za = 1.3076923076923084 H_scalar_s = 0.84246506049631
Ra = 1.3888888888888888 Za = 1.3076923076923084 H_scalar   = -0.2431161823967951
Ra = 1.3888888888888888 Za = 1.3076923076923084 H_phi_t = -4.197460405318928
Ra = 1.3888888888888888 Za = 1.3076923076923084 H_phi_s = -9.085513426672339
Ra = 1.3888888888888888 Za = 1.3076923076923084 H_phi   = -13.282973831991267
Ra = 1.711111111111111 Za = 1.3076923076923084 rot_H_z = 0.10890095908603836
Ra = 1.711111111111111 Za = 1.3076923076923084 rot_H_r = -0.8536507638799269
Ra = 1.711111111111111 Za = 1.3076923076923084 H_scalar_t = -1.619081022610414
Ra = 1.711111111111111 Za = 1.3076923076923084 H_scalar_s = 1.3036518510285884
Ra = 1.711111111111111 Za = 1.3076923076923084 H_scalar   = -0.3154291715818256
Ra = 1.711111111111111 Za = 1.3076923076923084 H_phi_t = -1.527963468085114
Ra = 1.711111111111111 Za = 1.3076923076923084 H_phi_s = 0.9835257543656404
Ra = 1.711111111111111 Za = 1.3076923076923084 H_phi   = -0.5444377137194736
Ra = 2.033333333333333 Za = 1.3076923076923084 rot_H_z = 0.07796718903411937
Ra = 2.033333333333333 Za = 1.3076923076923084 rot_H_r = -0.5542818449988776
Ra = 2.033333333333333 Za = 1.3076923076923084 H_scalar_t = -0.9841485661425634
Ra = 2.033333333333333 Za = 1.3076923076923084 H_scalar_s = 0.6999502317631947
Ra = 2.033333333333333 Za = 1.3076923076923084 H_scalar   = -0.2841983343793687
Ra = 2.033333333333333 Za = 1.3076923076923084 H_phi_t = -0.8003850597305092
Ra = 2.033333333333333 Za = 1.3076923076923084 H_phi_s = 0.36896096308962534
Ra = 2.033333333333333 Za = 1.3076923076923084 H_phi   = -0.4314240966408839
Ra = 2.3555555555555556 Za = 1.3076923076923084 rot_H_z = 0.06690428873430565
Ra = 2.3555555555555556 Za = 1.3076923076923084 rot_H_r = -0.37342425723467876
Ra = 2.3555555555555556 Za = 1.3076923076923084 H_scalar_t = -0.6496243449194398
Ra = 2.3555555555555556 Za = 1.3076923076923084 H_scalar_s = 0.41458517447800736
Ra = 2.3555555555555556 Za = 1.3076923076923084 H_scalar   = -0.2350391704414324
Ra = 2.3555555555555556 Za = 1.3076923076923084 H_phi_t = -0.5613196831134896
Ra = 2.3555555555555556 Za = 1.3076923076923084 H_phi_s = 0.21040474784224283
Ra = 2.3555555555555556 Za = 1.3076923076923084 H_phi   = -0.35091493527124673
Ra = 2.6777777777777776 Za = 1.3076923076923084 rot_H_z = 0.059997182013623696
Ra = 2.6777777777777776 Za = 1.3076923076923084 rot_H_r = -0.259483481566105
Ra = 2.6777777777777776 Za = 1.3076923076923084 H_scalar_t = -0.4542753194174341
Ra = 2.6777777777777776 Za = 1.3076923076923084 H_scalar_s = 0.26536441516758025
Ra = 2.6777777777777776 Za = 1.3076923076923084 H_scalar   = -0.18891090424985385
Ra = 2.6777777777777776 Za = 1.3076923076923084 H_phi_t = -0.4340479809105858
Ra = 2.6777777777777776 Za = 1.3076923076923084 H_phi_s = 0.14451945380267173
Ra = 2.6777777777777776 Za = 1.3076923076923084 H_phi   = -0.28952852710791405
Ra = 3.0 Za = 1.3076923076923084 rot_H_z = 0.05359574523724803
Ra = 3.0 Za = 1.3076923076923084 rot_H_r = -0.18457892323292835
Ra = 3.0 Za = 1.3076923076923084 H_scalar_t = -0.32867905435239
Ra = 3.0 Za = 1.3076923076923084 H_scalar_s = 0.17824439328527197
Ra = 3.0 Za = 1.3076923076923084 H_scalar   = -0.150434661067118
Ra = 3.0 Za = 1.3076923076923084 H_phi_t = -0.3491634753232625
Ra = 3.0 Za = 1.3076923076923084 H_phi_s = 0.10803105466030072
Ra = 3.0 Za = 1.3076923076923084 H_phi   = -0.24113242066296176
Ra = 0.1 Za = 1.4615384615384617 rot_H_z = -10.201282866028974
Ra = 0.1 Za = 1.4615384615384617 rot_H_r = -13.075802313323667
Ra = 0.1 Za = 1.4615384615384617 H_scalar_t = 55.01719637756053
Ra = 0.1 Za = 1.4615384615384617 H_scalar_s = -10.06810794380343
Ra = 0.1 Za = 1.4615384615384617 H_scalar   = 44.9490884337571
Ra = 0.1 Za = 1.4615384615384617 H_phi_t = -1.35416331760399
Ra = 0.1 Za = 1.4615384615384617 H_phi_s = 0.22079884742457057
Ra = 0.1 Za = 1.4615384615384617 H_phi   = -1.1333644701794194
Ra = 0.42222222222222217 Za = 1.4615384615384617 rot_H_z = -31.181049399605676
Ra = 0.42222222222222217 Za = 1.4615384615384617 rot_H_r = -8.068616509071676
Ra = 0.42222222222222217 Za = 1.4615384615384617 H_scalar_t = 15.67663969599365
Ra = 0.42222222222222217 Za = 1.4615384615384617 H_scalar_s = -9.956408047185997
Ra = 0.42222222222222217 Za = 1.4615384615384617 H_scalar   = 5.720231648807653
Ra = 0.42222222222222217 Za = 1.4615384615384617 H_phi_t = -6.444824451621661
Ra = 0.42222222222222217 Za = 1.4615384615384617 H_phi_s = -7.037076922882552
Ra = 0.42222222222222217 Za = 1.4615384615384617 H_phi   = -13.481901374504211
Ra = 0.7444444444444444 Za = 1.4615384615384617 rot_H_z = -17.366730267528617
Ra = 0.7444444444444444 Za = 1.4615384615384617 rot_H_r = -4.6055033577188516
Ra = 0.7444444444444444 Za = 1.4615384615384617 H_scalar_t = 7.114200818698562
Ra = 0.7444444444444444 Za = 1.4615384615384617 H_scalar_s = -5.734881841431094
Ra = 0.7444444444444444 Za = 1.4615384615384617 H_scalar   = 1.3793189772674674
Ra = 0.7444444444444444 Za = 1.4615384615384617 H_phi_t = -6.658732788674512
Ra = 0.7444444444444444 Za = 1.4615384615384617 H_phi_s = -6.6256762216330305
Ra = 0.7444444444444444 Za = 1.4615384615384617 H_phi   = -13.284409010307542
Ra = 1.0666666666666667 Za = 1.4615384615384617 rot_H_z = -11.991718059264834
Ra = 1.0666666666666667 Za = 1.4615384615384617 rot_H_r = -2.7666353344750867
Ra = 1.0666666666666667 Za = 1.4615384615384617 H_scalar_t = 2.743540179051199
Ra = 1.0666666666666667 Za = 1.4615384615384617 H_scalar_s = -2.588998080404591
Ra = 1.0666666666666667 Za = 1.4615384615384617 H_scalar   = 0.15454209864660795
Ra = 1.0666666666666667 Za = 1.4615384615384617 H_phi_t = -6.563971407164233
Ra = 1.0666666666666667 Za = 1.4615384615384617 H_phi_s = -6.59159699795409
Ra = 1.0666666666666667 Za = 1.4615384615384617 H_phi   = -13.155568405118323
Ra = 1.3888888888888888 Za = 1.4615384615384617 rot_H_z = -9.114996219857385
Ra = 1.3888888888888888 Za = 1.4615384615384617 rot_H_r = -1.6552916103987059
Ra = 1.3888888888888888 Za = 1.4615384615384617 H_scalar_t = -1.859031585358056
Ra = 1.3888888888888888 Za = 1.4615384615384617 H_scalar_s = 1.6098664011547799
Ra = 1.3888888888888888 Za = 1.4615384615384617 H_scalar   = -0.24916518420327605
Ra = 1.3888888888888888 Za = 1.4615384615384617 H_phi_t = -6.011444856395681
Ra = 1.3888888888888888 Za = 1.4615384615384617 H_phi_s = -7.044655827787164
Ra = 1.3888888888888888 Za = 1.4615384615384617 H_phi   = -13.056100684182844
Ra = 1.711111111111111 Za = 1.4615384615384617 rot_H_z = -0.019725299981252498
Ra = 1.711111111111111 Za = 1.4615384615384617 rot_H_r = -0.9255868523680393
Ra = 1.711111111111111 Za = 1.4615384615384617 H_scalar_t = -2.058423895895593
Ra = 1.711111111111111 Za = 1.4615384615384617 H_scalar_s = 1.7355401240538564
Ra = 1.711111111111111 Za = 1.4615384615384617 H_scalar   = -0.3228837718417368
Ra = 1.711111111111111 Za = 1.4615384615384617 H_phi_t = -0.7347016431305776
Ra = 1.711111111111111 Za = 1.4615384615384617 H_phi_s = 0.32812581352540615
Ra = 1.711111111111111 Za = 1.4615384615384617 H_phi   = -0.40657582960517147
Ra = 2.033333333333333 Za = 1.4615384615384617 rot_H_z = 0.005884899223147694
Ra = 2.033333333333333 Za = 1.4615384615384617 rot_H_r = -0.5777242520736254
Ra = 2.033333333333333 Za = 1.4615384615384617 H_scalar_t = -1.05258803220609
Ra = 2.033333333333333 Za = 1.4615384615384617 H_scalar_s = 0.7618424460340159
Ra = 2.033333333333333 Za = 1.4615384615384617 H_scalar   = -0.29074558617207424
Ra = 2.033333333333333 Za = 1.4615384615384617 H_phi_t = -0.4942231361442803
Ra = 2.033333333333333 Za = 1.4615384615384617 H_phi_s = 0.1502592263522442
Ra = 2.033333333333333 Za = 1.4615384615384617 H_phi   = -0.3439639097920361
Ra = 2.3555555555555556 Za = 1.4615384615384617 rot_H_z = 0.02261590663801754
Ra = 2.3555555555555556 Za = 1.4615384615384617 rot_H_r = -0.3859140497698439
Ra = 2.3555555555555556 Za = 1.4615384615384617 H_scalar_t = -0.6749799153776593
Ra = 2.3555555555555556 Za = 1.4615384615384617 H_scalar_s = 0.4330289858398164
Ra = 2.3555555555555556 Za = 1.4615384615384617 H_scalar   = -0.24195092953784292
Ra = 2.3555555555555556 Za = 1.4615384615384617 H_phi_t = -0.4027307986872133
Ra = 2.3555555555555556 Za = 1.4615384615384617 H_phi_s = 0.11040474598218575
Ra = 2.3555555555555556 Za = 1.4615384615384617 H_phi   = -0.29232605270502754
Ra = 2.6777777777777776 Za = 1.4615384615384617 rot_H_z = 0.03089991615649508
Ra = 2.6777777777777776 Za = 1.4615384615384617 rot_H_r = -0.26813427806340995
Ra = 2.6777777777777776 Za = 1.4615384615384617 H_scalar_t = -0.469780783149227
Ra = 2.6777777777777776 Za = 1.4615384615384617 H_scalar_s = 0.2738688254258943
Ra = 2.6777777777777776 Za = 1.4615384615384617 H_scalar   = -0.1959119577233327
Ra = 2.6777777777777776 Za = 1.4615384615384617 H_phi_t = -0.3387975993364718
Ra = 2.6777777777777776 Za = 1.4615384615384617 H_phi_s = 0.08995200772828804
Ra = 2.6777777777777776 Za = 1.4615384615384617 H_phi   = -0.24884559160818376
Ra = 3.0 Za = 1.4615384615384617 rot_H_z = 0.03368215379173047
Ra = 3.0 Za = 1.4615384615384617 rot_H_r = -0.19134719737689743
Ra = 3.0 Za = 1.4615384615384617 H_scalar_t = -0.3407614157936961
Ra = 3.0 Za = 1.4615384615384617 H_scalar_s = 0.18360864246685404
Ra = 3.0 Za = 1.4615384615384617 H_scalar   = -0.15715277332684208
Ra = 3.0 Za = 1.4615384615384617 H_phi_t = -0.2872739389029696
Ra = 3.0 Za = 1.4615384615384617 H_phi_s = 0.07511694812124836
Ra = 3.0 Za = 1.4615384615384617 H_phi   = -0.21215699078172123
Ra = 0.1 Za = 1.6153846153846159 rot_H_z = 5.41142044570903
Ra = 0.1 Za = 1.6153846153846159 rot_H_r = -10.793004054662088
Ra = 0.1 Za = 1.6153846153846159 H_scalar_t = 54.73049172339019
Ra = 0.1 Za = 1.6153846153846159 H_scalar_s = -9.449227482244929
Ra = 0.1 Za = 1.6153846153846159 H_scalar   = 45.28126424114526
Ra = 0.1 Za = 1.6153846153846159 H_phi_t = 1.331669023462668
Ra = 0.1 Za = 1.6153846153846159 H_phi_s = -0.515440953676196
Ra = 0.1 Za = 1.6153846153846159 H_phi   = 0.816228069786472
Ra = 0.42222222222222217 Za = 1.6153846153846159 rot_H_z = -0.616506880608533
Ra = 0.42222222222222217 Za = 1.6153846153846159 rot_H_r = -6.100078711778428
Ra = 0.42222222222222217 Za = 1.6153846153846159 H_scalar_t = 14.51232688702843
Ra = 0.42222222222222217 Za = 1.6153846153846159 H_scalar_s = -8.632568722521455
Ra = 0.42222222222222217 Za = 1.6153846153846159 H_scalar   = 5.879758164506974
Ra = 0.42222222222222217 Za = 1.6153846153846159 H_phi_t = 4.521295145491414
Ra = 0.42222222222222217 Za = 1.6153846153846159 H_phi_s = -4.229852452436196
Ra = 0.42222222222222217 Za = 1.6153846153846159 H_phi   = 0.29144269305521764
Ra = 0.7444444444444444 Za = 1.6153846153846159 rot_H_z = -0.6960120824994354
Ra = 0.7444444444444444 Za = 1.6153846153846159 rot_H_r = -3.787365769404518
Ra = 0.7444444444444444 Za = 1.6153846153846159 H_scalar_t = 6.617715473906696
Ra = 0.7444444444444444 Za = 1.6153846153846159 H_scalar_s = -5.144718476589292
Ra = 0.7444444444444444 Za = 1.6153846153846159 H_scalar   = 1.472996997317404
Ra = 0.7444444444444444 Za = 1.6153846153846159 H_phi_t = 5.035862165268557
Ra = 0.7444444444444444 Za = 1.6153846153846159 H_phi_s = -5.061953680083923
Ra = 0.7444444444444444 Za = 1.6153846153846159 H_phi   = -0.026091514815366423
Ra = 1.0666666666666667 Za = 1.6153846153846159 rot_H_z = -0.45629109226431863
Ra = 1.0666666666666667 Za = 1.6153846153846159 rot_H_r = -2.362735728349775
Ra = 1.0666666666666667 Za = 1.6153846153846159 H_scalar_t = 2.451910867510525
Ra = 1.0666666666666667 Za = 1.6153846153846159 H_scalar_s = -2.244924828096228
Ra = 1.0666666666666667 Za = 1.6153846153846159 H_scalar   = 0.20698603941429683
Ra = 1.0666666666666667 Za = 1.6153846153846159 H_phi_t = 4.903721600897617
Ra = 1.0666666666666667 Za = 1.6153846153846159 H_phi_s = -5.075688639991425
Ra = 1.0666666666666667 Za = 1.6153846153846159 H_phi   = -0.17196703909380773
Ra = 1.3888888888888888 Za = 1.6153846153846159 rot_H_z = -0.316907595938976
Ra = 1.3888888888888888 Za = 1.6153846153846159 rot_H_r = -1.4572643428056846
Ra = 1.3888888888888888 Za = 1.6153846153846159 H_scalar_t = -1.460436990418459
Ra = 1.3888888888888888 Za = 1.6153846153846159 H_scalar_s = 1.2421082282196059
Ra = 1.3888888888888888 Za = 1.6153846153846159 H_scalar   = -0.21832876219885322
Ra = 1.3888888888888888 Za = 1.6153846153846159 H_phi_t = 3.827399756108771
Ra = 1.3888888888888888 Za = 1.6153846153846159 H_phi_s = -4.066336697051124
Ra = 1.3888888888888888 Za = 1.6153846153846159 H_phi   = -0.23893694094235318
Ra = 1.711111111111111 Za = 1.6153846153846159 rot_H_z = -0.16430083560704611
Ra = 1.711111111111111 Za = 1.6153846153846159 rot_H_r = -0.8939661622174873
Ra = 1.711111111111111 Za = 1.6153846153846159 H_scalar_t = -1.855152238682081
Ra = 1.711111111111111 Za = 1.6153846153846159 H_scalar_s = 1.546721052147766
Ra = 1.711111111111111 Za = 1.6153846153846159 H_scalar   = -0.308431186534315
Ra = 1.711111111111111 Za = 1.6153846153846159 H_phi_t = 0.2739230855086248
Ra = 1.711111111111111 Za = 1.6153846153846159 H_phi_s = -0.539105186801895
Ra = 1.711111111111111 Za = 1.6153846153846159 H_phi   = -0.2651821012932702
Ra = 2.033333333333333 Za = 1.6153846153846159 rot_H_z = -0.06794270520584905
Ra = 2.033333333333333 Za = 1.6153846153846159 rot_H_r = -0.5694182731624875
Ra = 2.033333333333333 Za = 1.6153846153846159 H_scalar_t = -1.019789471219148
Ra = 2.033333333333333 Za = 1.6153846153846159 H_scalar_s = 0.7338737797294375
Ra = 2.033333333333333 Za = 1.6153846153846159 H_scalar   = -0.2859156914897105
Ra = 2.033333333333333 Za = 1.6153846153846159 H_phi_t = -0.1726141067590684
Ra = 2.033333333333333 Za = 1.6153846153846159 H_phi_s = -0.08269480066880064
Ra = 2.033333333333333 Za = 1.6153846153846159 H_phi   = -0.25530890742786905
Ra = 2.3555555555555556 Za = 1.6153846153846159 rot_H_z = -0.021780812386889142
Ra = 2.3555555555555556 Za = 1.6153846153846159 rot_H_r = -0.38417737373578253
Ra = 2.3555555555555556 Za = 1.6153846153846159 H_scalar_t = -0.6662357014439068
Ra = 2.3555555555555556 Za = 1.6153846153846159 H_scalar_s = 0.42424385669598386
Ra = 2.3555555555555556 Za = 1.6153846153846159 H_scalar   = -0.2419918447479229
Ra = 2.3555555555555556 Za = 1.6153846153846159 H_phi_t = -0.2411244461300335
Ra = 2.3555555555555556 Za = 1.6153846153846159 H_phi_s = 0.008218943975344839
Ra = 2.3555555555555556 Za = 1.6153846153846159 H_phi   = -0.23290550215468867
Ra = 2.6777777777777776 Za = 1.6153846153846159 rot_H_z = 0.0019080796117272383
Ra = 2.6777777777777776 Za = 1.6153846153846159 rot_H_r = -0.26915931774044877
Ra = 2.6777777777777776 Za = 1.6153846153846159 H_scalar_t = -0.4693831818923848
Ra = 2.6777777777777776 Za = 1.6153846153846159 H_scalar_s = 0.2709593024746464
Ra = 2.6777777777777776 Za = 1.6153846153846159 H_scalar   = -0.19842387941773842
Ra = 2.6777777777777776 Za = 1.6153846153846159 H_phi_t = -0.2424376751622516
Ra = 2.6777777777777776 Za = 1.6153846153846159 H_phi_s = 0.03501973192626062
Ra = 2.6777777777777776 Za = 1.6153846153846159 H_phi   = -0.20741794323599097
Ra = 3.0 Za = 1.6153846153846159 rot_H_z = 0.01382964033531843
Ra = 3.0 Za = 1.6153846153846159 rot_H_r = -0.19358108980666672
Ra = 3.0 Za = 1.6153846153846159 H_scalar_t = -0.3440049312508012
Ra = 3.0 Za = 1.6153846153846159 H_scalar_s = 0.183203412218629
Ra = 3.0 Za = 1.6153846153846159 H_scalar   = -0.1608015190321722
Ra = 3.0 Za = 1.6153846153846159 H_phi_t = -0.2246361218174828
Ra = 3.0 Za = 1.6153846153846159 H_phi_s = 0.04214674440277966
Ra = 3.0 Za = 1.6153846153846159 H_phi   = -0.18248937741470314
Ra = 0.1 Za = 1.7692307692307692 rot_H_z = 15.566054766484143
Ra = 0.1 Za = 1.7692307692307692 rot_H_r = -4.885147024229257
Ra = 0.1 Za = 1.7692307692307692 H_scalar_t = 51.05352159381194
Ra = 0.1 Za = 1.7692307692307692 H_scalar_s = -7.469132692086853
Ra = 0.1 Za = 1.7692307692307692 H_scalar   = 43.58438890172509
Ra = 0.1 Za = 1.7692307692307692 H_phi_t = 2.64441172419817
Ra = 0.1 Za = 1.7692307692307692 H_phi_s = -0.6362907814380023
Ra = 0.1 Za = 1.7692307692307692 H_phi   = 2.0081209427601676
Ra = 0.42222222222222217 Za = 1.7692307692307692 rot_H_z = 0.1393383187497168
Ra = 0.42222222222222217 Za = 1.7692307692307692 rot_H_r = -3.4100530845745025
Ra = 0.42222222222222217 Za = 1.7692307692307692 H_scalar_t = 12.31661060486974
Ra = 0.42222222222222217 Za = 1.7692307692307692 H_scalar_s = -6.40216988935689
Ra = 0.42222222222222217 Za = 1.7692307692307692 H_scalar   = 5.914440715512851
Ra = 0.42222222222222217 Za = 1.7692307692307692 H_phi_t = 3.84665601501594
Ra = 0.42222222222222217 Za = 1.7692307692307692 H_phi_s = -2.838376881799638
Ra = 0.42222222222222217 Za = 1.7692307692307692 H_phi   = 1.008279133216302
Ra = 0.7444444444444444 Za = 1.7692307692307692 rot_H_z = -0.6790668746658008
Ra = 0.7444444444444444 Za = 1.7692307692307692 rot_H_r = -2.448339513323609
Ra = 0.7444444444444444 Za = 1.7692307692307692 H_scalar_t = 5.6574666666944
Ra = 0.7444444444444444 Za = 1.7692307692307692 H_scalar_s = -4.076441881274657
Ra = 0.7444444444444444 Za = 1.7692307692307692 H_scalar   = 1.5810247854197428
Ra = 0.7444444444444444 Za = 1.7692307692307692 H_phi_t = 4.237904469660411
Ra = 0.7444444444444444 Za = 1.7692307692307692 H_phi_s = -3.789095937789965
Ra = 0.7444444444444444 Za = 1.7692307692307692 H_phi   = 0.44880853187044645
Ra = 1.0666666666666667 Za = 1.7692307692307692 rot_H_z = -0.5840705724909998
Ra = 1.0666666666666667 Za = 1.7692307692307692 rot_H_r = -1.6851295152516341
Ra = 1.0666666666666667 Za = 1.7692307692307692 H_scalar_t = 2.049695447313741
Ra = 1.0666666666666667 Za = 1.7692307692307692 H_scalar_s = -1.7611486454550254
Ra = 1.0666666666666667 Za = 1.7692307692307692 H_scalar   = 0.2885468018587156
Ra = 1.0666666666666667 Za = 1.7692307692307692 H_phi_t = 3.944303641838113
Ra = 1.0666666666666667 Za = 1.7692307692307692 H_phi_s = -3.80685323076723
Ra = 1.0666666666666667 Za = 1.7692307692307692 H_phi   = 0.13745041107088296
Ra = 1.3888888888888888 Za = 1.7692307692307692 rot_H_z = -0.4429399787509283
Ra = 1.3888888888888888 Za = 1.7692307692307692 rot_H_r = -1.1414594020044202
Ra = 1.3888888888888888 Za = 1.7692307692307692 H_scalar_t = -0.6329042708955848
Ra = 1.3888888888888888 Za = 1.7692307692307692 H_scalar_s = 0.47436174882759463
Ra = 1.3888888888888888 Za = 1.7692307692307692 H_scalar   = -0.15854252206799013
Ra = 1.3888888888888888 Za = 1.7692307692307692 H_phi_t = 2.74564201506601
Ra = 1.3888888888888888 Za = 1.7692307692307692 H_phi_s = -2.7854263575850724
Ra = 1.3888888888888888 Za = 1.7692307692307692 H_phi   = -0.03978434251906249
Ra = 1.711111111111111 Za = 1.7692307692307692 rot_H_z = -0.26474151189169914
Ra = 1.711111111111111 Za = 1.7692307692307692 rot_H_r = -0.7852586265350032
Ra = 1.711111111111111 Za = 1.7692307692307692 H_scalar_t = -1.294964090054227
Ra = 1.711111111111111 Za = 1.7692307692307692 H_scalar_s = 1.0202102826228079
Ra = 1.711111111111111 Za = 1.7692307692307692 H_scalar   = -0.2747538074314191
Ra = 1.711111111111111 Za = 1.7692307692307692 H_phi_t = 0.7914597366885721
Ra = 1.711111111111111 Za = 1.7692307692307692 H_phi_s = -0.926933079235642
Ra = 1.711111111111111 Za = 1.7692307692307692 H_phi   = -0.13547334254707
Ra = 2.033333333333333 Za = 1.7692307692307692 rot_H_z = -0.13203317343071186
Ra = 2.033333333333333 Za = 1.7692307692307692 rot_H_r = -0.5320910334366304
Ra = 2.033333333333333 Za = 1.7692307692307692 H_scalar_t = -0.8989996239423065
Ra = 2.033333333333333 Za = 1.7692307692307692 H_scalar_s = 0.6286502445223177
Ra = 2.033333333333333 Za = 1.7692307692307692 H_scalar   = -0.2703493794199888
Ra = 2.033333333333333 Za = 1.7692307692307692 H_phi_t = 0.1000043847382536
Ra = 2.033333333333333 Za = 1.7692307692307692 H_phi_s = -0.2702639451033466
Ra = 2.033333333333333 Za = 1.7692307692307692 H_phi   = -0.17025956036509302
Ra = 2.3555555555555556 Za = 1.7692307692307692 rot_H_z = -0.06254860734091217
Ra = 2.3555555555555556 Za = 1.7692307692307692 rot_H_r = -0.3689563470225182
Ra = 2.3555555555555556 Za = 1.7692307692307692 H_scalar_t = -0.6256034141315384
Ra = 2.3555555555555556 Za = 1.7692307692307692 H_scalar_s = 0.39016663936767926
Ra = 2.3555555555555556 Za = 1.7692307692307692 H_scalar   = -0.23543677476385916
Ra = 2.3555555555555556 Za = 1.7692307692307692 H_phi_t = -0.09140830480238367
Ra = 2.3555555555555556 Za = 1.7692307692307692 H_phi_s = -0.08340415157961756
Ra = 2.3555555555555556 Za = 1.7692307692307692 H_phi   = -0.1748124563820012
Ra = 2.6777777777777776 Za = 1.7692307692307692 rot_H_z = -0.025387125334014604
Ra = 2.6777777777777776 Za = 1.7692307692307692 rot_H_r = -0.2628759714288844
Ra = 2.6777777777777776 Za = 1.7692307692307692 H_scalar_t = -0.453789588871031
Ra = 2.6777777777777776 Za = 1.7692307692307692 H_scalar_s = 0.2572031167528728
Ra = 2.6777777777777776 Za = 1.7692307692307692 H_scalar   = -0.19658647211815822
Ra = 2.6777777777777776 Za = 1.7692307692307692 H_phi_t = -0.1502240689484063
Ra = 2.6777777777777776 Za = 1.7692307692307692 H_phi_s = -0.016179178805548533
Ra = 2.6777777777777776 Za = 1.7692307692307692 H_phi   = -0.16640324775395482
Ra = 3.0 Za = 1.7692307692307692 rot_H_z = -0.005161589579693669
Ra = 3.0 Za = 1.7692307692307692 rot_H_r = -0.19144406394406782
Ra = 3.0 Za = 1.7692307692307692 H_scalar_t = -0.3387248734309377
Ra = 3.0 Za = 1.7692307692307692 H_scalar_s = 0.17727250755456792
Ra = 3.0 Za = 1.7692307692307692 H_scalar   = -0.1614523658763698
Ra = 3.0 Za = 1.7692307692307692 H_phi_t = -0.163611694002709
Ra = 3.0 Za = 1.7692307692307692 H_phi_s = 0.010793506883128856
Ra = 3.0 Za = 1.7692307692307692 H_phi   = -0.15281818711958015
Ra = 0.1 Za = 1.9230769230769234 rot_H_z = 20.168752001504604
Ra = 0.1 Za = 1.9230769230769234 rot_H_r = -1.222943532188262
Ra = 0.1 Za = 1.9230769230769234 H_scalar_t = 46.45299901707195
Ra = 0.1 Za = 1.9230769230769234 H_scalar_s = -5.674730410583392
Ra = 0.1 Za = 1.9230769230769234 H_scalar   = 40.77826860648856
Ra = 0.1 Za = 1.9230769230769234 H_phi_t = 2.957936074264801
Ra = 0.1 Za = 1.9230769230769234 H_phi_s = -0.5123152821137714
Ra = 0.1 Za = 1.9230769230769234 H_phi   = 2.4456207921510296
Ra = 0.42222222222222217 Za = 1.9230769230769234 rot_H_z = 0.7738402809946834
Ra = 0.42222222222222217 Za = 1.9230769230769234 rot_H_r = -1.6363470258190396
Ra = 0.42222222222222217 Za = 1.9230769230769234 H_scalar_t = 10.67311497339929
Ra = 0.42222222222222217 Za = 1.9230769230769234 H_scalar_s = -4.8303723324092775
Ra = 0.42222222222222217 Za = 1.9230769230769234 H_scalar   = 5.8427426409900125
Ra = 0.42222222222222217 Za = 1.9230769230769234 H_phi_t = 3.415166684150115
Ra = 0.42222222222222217 Za = 1.9230769230769234 H_phi_s = -2.0283870173640315
Ra = 0.42222222222222217 Za = 1.9230769230769234 H_phi   = 1.3867796667860834
Ra = 0.7444444444444444 Za = 1.9230769230769234 rot_H_z = -0.5406046424464055
Ra = 0.7444444444444444 Za = 1.9230769230769234 rot_H_r = -1.4609804395294277
Ra = 0.7444444444444444 Za = 1.9230769230769234 H_scalar_t = 4.886813435208955
Ra = 0.7444444444444444 Za = 1.9230769230769234 H_scalar_s = -3.211002268612097
Ra = 0.7444444444444444 Za = 1.9230769230769234 H_scalar   = 1.675811166596858
Ra = 0.7444444444444444 Za = 1.9230769230769234 H_phi_t = 3.565002377334803
Ra = 0.7444444444444444 Za = 1.9230769230769234 H_phi_s = -2.8196342738760154
Ra = 0.7444444444444444 Za = 1.9230769230769234 H_phi   = 0.7453681034587878
Ra = 1.0666666666666667 Za = 1.9230769230769234 rot_H_z = -0.6077534528977355
Ra = 1.0666666666666667 Za = 1.9230769230769234 rot_H_r = -1.151752588520222
Ra = 1.0666666666666667 Za = 1.9230769230769234 H_scalar_t = 1.839993131736173
Ra = 1.0666666666666667 Za = 1.9230769230769234 H_scalar_s = -1.4586546226946604
Ra = 1.0666666666666667 Za = 1.9230769230769234 H_scalar   = 0.3813385090415127
Ra = 1.0666666666666667 Za = 1.9230769230769234 H_phi_t = 3.199308445111598
Ra = 1.0666666666666667 Za = 1.9230769230769234 H_phi_s = -2.8453590544865253
Ra = 1.0666666666666667 Za = 1.9230769230769234 H_phi   = 0.3539493906250728
Ra = 1.3888888888888888 Za = 1.9230769230769234 rot_H_z = -0.48929021408767737
Ra = 1.3888888888888888 Za = 1.9230769230769234 rot_H_r = -0.871782015413705
Ra = 1.3888888888888888 Za = 1.9230769230769234 H_scalar_t = -0.1397288481095254
Ra = 1.3888888888888888 Za = 1.9230769230769234 H_scalar_s = 0.05366718929329517
Ra = 1.3888888888888888 Za = 1.9230769230769234 H_scalar   = -0.08606165881623024
Ra = 1.3888888888888888 Za = 1.9230769230769234 H_phi_t = 2.219243369803829
Ra = 1.3888888888888888 Za = 1.9230769230769234 H_phi_s = -2.1046767785887956
Ra = 1.3888888888888888 Za = 1.9230769230769234 H_phi   = 0.11456659121503332
Ra = 1.711111111111111 Za = 1.9230769230769234 rot_H_z = -0.319314696477774
Ra = 1.711111111111111 Za = 1.9230769230769234 rot_H_r = -0.655421492223337
Ra = 1.711111111111111 Za = 1.9230769230769234 H_scalar_t = -0.8304913787009651
Ra = 1.711111111111111 Za = 1.9230769230769234 H_scalar_s = 0.6011601353181382
Ra = 1.711111111111111 Za = 1.9230769230769234 H_scalar   = -0.22933124338282695
Ra = 1.711111111111111 Za = 1.9230769230769234 H_phi_t = 0.960064099567546
Ra = 1.711111111111111 Za = 1.9230769230769234 H_phi_s = -0.984646463744135
Ra = 1.711111111111111 Za = 1.9230769230769234 H_phi   = -0.02458236417658899
Ra = 2.033333333333333 Za = 1.9230769230769234 rot_H_z = -0.17969701402010996
Ra = 2.033333333333333 Za = 1.9230769230769234 rot_H_r = -0.47549002772807936
Ra = 2.033333333333333 Za = 1.9230769230769234 H_scalar_t = -0.7363035833720342
Ra = 2.033333333333333 Za = 1.9230769230769234 H_scalar_s = 0.49016033930057956
Ra = 2.033333333333333 Za = 1.9230769230769234 H_scalar   = -0.2461432440714546
Ra = 2.033333333333333 Za = 1.9230769230769234 H_phi_t = 0.293343907632522
Ra = 2.033333333333333 Za = 1.9230769230769234 H_phi_s = -0.38592063889598016
Ra = 2.033333333333333 Za = 1.9230769230769234 H_phi   = -0.09257673126345817
Ra = 2.3555555555555556 Za = 1.9230769230769234 rot_H_z = -0.09677367812472987
Ra = 2.3555555555555556 Za = 1.9230769230769234 rot_H_r = -0.34284125951719024
Ra = 2.3555555555555556 Za = 1.9230769230769234 H_scalar_t = -0.5616229708290456
Ra = 2.3555555555555556 Za = 1.9230769230769234 H_scalar_s = 0.338538765006519
Ra = 2.3555555555555556 Za = 1.9230769230769234 H_scalar   = -0.22308420582252653
Ra = 2.3555555555555556 Za = 1.9230769230769234 H_phi_t = 0.03548830479877375
Ra = 2.3555555555555556 Za = 1.9230769230769234 H_phi_s = -0.15542897780877962
Ra = 2.3555555555555556 Za = 1.9230769230769234 H_phi   = -0.11994067301000588
Ra = 2.6777777777777776 Za = 1.9230769230769234 rot_H_z = -0.04962134609311045
Ra = 2.6777777777777776 Za = 1.9230769230769234 rot_H_r = -0.2502358845751971
Ra = 2.6777777777777776 Za = 1.9230769230769234 H_scalar_t = -0.4254732080720166
Ra = 2.6777777777777776 Za = 1.9230769230769234 H_scalar_s = 0.2347030185767638
Ra = 2.6777777777777776 Za = 1.9230769230769234 H_scalar   = -0.19077018949525282
Ra = 2.6777777777777776 Za = 1.9230769230769234 H_phi_t = -0.0665744372657533
Ra = 2.6777777777777776 Za = 1.9230769230769234 H_phi_s = -0.06028532475741355
Ra = 2.6777777777777776 Za = 1.9230769230769234 H_phi   = -0.12685976202316684
Ra = 3.0 Za = 1.9230769230769234 rot_H_z = -0.022576871082648386
Ra = 3.0 Za = 1.9230769230769234 rot_H_r = -0.1853624257898669
Ra = 3.0 Za = 1.9230769230769234 H_scalar_t = -0.325871676006433
Ra = 3.0 Za = 1.9230769230769234 H_scalar_s = 0.1665772391457454
Ra = 3.0 Za = 1.9230769230769234 H_scalar   = -0.15929443686068762
Ra = 3.0 Za = 1.9230769230769234 H_phi_t = -0.1063040998701169
Ra = 3.0 Za = 1.9230769230769234 H_phi_s = -0.01748205242570955
Ra = 3.0 Za = 1.9230769230769234 H_phi   = -0.12378615229582644
Ra = 0.1 Za = 2.0769230769230775 rot_H_z = 21.35547345927386
Ra = 0.1 Za = 2.0769230769230775 rot_H_r = 0.479288400666978
Ra = 0.1 Za = 2.0769230769230775 H_scalar_t = 41.86128777367755
Ra = 0.1 Za = 2.0769230769230775 H_scalar_s = -4.308669469961145
Ra = 0.1 Za = 2.0769230769230775 H_scalar   = 37.55261830371641
Ra = 0.1 Za = 2.0769230769230775 H_phi_t = 2.867476867415697
Ra = 0.1 Za = 2.0769230769230775 H_phi_s = -0.3825929122119577
Ra = 0.1 Za = 2.0769230769230775 H_phi   = 2.484883955203739
Ra = 0.42222222222222217 Za = 2.0769230769230775 rot_H_z = 1.273837419667153
Ra = 0.42222222222222217 Za = 2.0769230769230775 rot_H_r = -0.5145738462542755
Ra = 0.42222222222222217 Za = 2.0769230769230775 H_scalar_t = 9.376214120827486
Ra = 0.42222222222222217 Za = 2.0769230769230775 H_scalar_s = -3.6929523992766056
Ra = 0.42222222222222217 Za = 2.0769230769230775 H_scalar   = 5.68326172155088
Ra = 0.42222222222222217 Za = 2.0769230769230775 H_phi_t = 3.026325124172764
Ra = 0.42222222222222217 Za = 2.0769230769230775 H_phi_s = -1.4811599180681183
Ra = 0.42222222222222217 Za = 2.0769230769230775 H_phi   = 1.5451652061046457
Ra = 0.7444444444444444 Za = 2.0769230769230775 rot_H_z = -0.3563898486463404
Ra = 0.7444444444444444 Za = 2.0769230769230775 rot_H_r = -0.7633721614817763
Ra = 0.7444444444444444 Za = 2.0769230769230775 H_scalar_t = 4.281380842301978
Ra = 0.7444444444444444 Za = 2.0769230769230775 H_scalar_s = -2.5363083413580996
Ra = 0.7444444444444444 Za = 2.0769230769230775 H_scalar   = 1.7450725009438783
Ra = 0.7444444444444444 Za = 2.0769230769230775 H_phi_t = 3.014375347967443
Ra = 0.7444444444444444 Za = 2.0769230769230775 H_phi_s = -2.101175453991009
Ra = 0.7444444444444444 Za = 2.0769230769230775 H_phi   = 0.9131998939764343
Ra = 1.0666666666666667 Za = 2.0769230769230775 rot_H_z = -0.5627749507847799
Ra = 1.0666666666666667 Za = 2.0769230769230775 rot_H_r = -0.7416670666957152
Ra = 1.0666666666666667 Za = 2.0769230769230775 H_scalar_t = 1.712741097174214
Ra = 1.0666666666666667 Za = 2.0769230769230775 H_scalar_s = -1.2407045955088294
Ra = 1.0666666666666667 Za = 2.0769230769230775 H_scalar   = 0.4720365016653847
Ra = 1.0666666666666667 Za = 2.0769230769230775 H_phi_t = 2.639788207479628
Ra = 1.0666666666666667 Za = 2.0769230769230775 H_phi_s = -2.141630914540511
Ra = 1.0666666666666667 Za = 2.0769230769230775 H_phi   = 0.4981572929391169
Ra = 1.3888888888888888 Za = 2.0769230769230775 rot_H_z = -0.48751558127636896
Ra = 1.3888888888888888 Za = 2.0769230769230775 rot_H_r = -0.6417440373644026
Ra = 1.3888888888888888 Za = 2.0769230769230775 H_scalar_t = 0.1548689463515176
Ra = 1.3888888888888888 Za = 2.0769230769230775 H_scalar_s = -0.16531032913597787
Ra = 1.3888888888888888 Za = 2.0769230769230775 H_scalar   = -0.010441382784460274
Ra = 1.3888888888888888 Za = 2.0769230769230775 H_phi_t = 1.874521201404537
Ra = 1.3888888888888888 Za = 2.0769230769230775 H_phi_s = -1.644035115976586
Ra = 1.3888888888888888 Za = 2.0769230769230775 H_phi   = 0.2304860854279509
Ra = 1.711111111111111 Za = 2.0769230769230775 rot_H_z = -0.34144454611994535
Ra = 1.711111111111111 Za = 2.0769230769230775 rot_H_r = -0.527589567764873
Ra = 1.711111111111111 Za = 2.0769230769230775 H_scalar_t = -0.4992458668534688
Ra = 1.711111111111111 Za = 2.0769230769230775 H_scalar_s = 0.32108630375689984
Ra = 1.711111111111111 Za = 2.0769230769230775 H_scalar   = -0.17815956309656894
Ra = 1.711111111111111 Za = 2.0769230769230775 H_phi_t = 0.9877776909776348
Ra = 1.711111111111111 Za = 2.0769230769230775 H_phi_s = -0.9214595179549143
Ra = 1.711111111111111 Za = 2.0769230769230775 H_phi   = 0.06631817302272047
Ra = 2.033333333333333 Za = 2.0769230769230775 rot_H_z = -0.21008669774674937
Ra = 2.033333333333333 Za = 2.0769230769230775 rot_H_r = -0.4098394768163397
Ra = 2.033333333333333 Za = 2.0769230769230775 H_scalar_t = -0.5709475335368137
Ra = 2.033333333333333 Za = 2.0769230769230775 H_scalar_s = 0.35499868000515633
Ra = 2.033333333333333 Za = 2.0769230769230775 H_scalar   = -0.21594885353165738
Ra = 2.033333333333333 Za = 2.0769230769230775 H_phi_t = 0.4136875192344811
Ra = 2.033333333333333 Za = 2.0769230769230775 H_phi_s = -0.43810112162748194
Ra = 2.033333333333333 Za = 2.0769230769230775 H_phi   = -0.024413602393000833
Ra = 2.3555555555555556 Za = 2.0769230769230775 rot_H_z = -0.1229498069576368
Ra = 2.3555555555555556 Za = 2.0769230769230775 rot_H_r = -0.30932497356492483
Ra = 2.3555555555555556 Za = 2.0769230769230775 H_scalar_t = -0.4850200078763441
Ra = 2.3555555555555556 Za = 2.0769230769230775 H_scalar_s = 0.27894466765806536
Ra = 2.3555555555555556 Za = 2.0769230769230775 H_scalar   = -0.20607534021827872
Ra = 2.3555555555555556 Za = 2.0769230769230775 H_phi_t = 0.1350938752359982
Ra = 2.3555555555555556 Za = 2.0769230769230775 H_phi_s = -0.20479607090477403
Ra = 2.3555555555555556 Za = 2.0769230769230775 H_phi   = -0.06970219566877583
Ra = 2.6777777777777776 Za = 2.0769230769230775 rot_H_z = -0.06985679006701351
Ra = 2.6777777777777776 Za = 2.0769230769230775 rot_H_r = -0.2326203354130461
Ra = 2.6777777777777776 Za = 2.0769230769230775 H_scalar_t = -0.3879632163343122
Ra = 2.6777777777777776 Za = 2.0769230769230775 H_scalar_s = 0.20643892318930668
Ra = 2.6777777777777776 Za = 2.0769230769230775 H_scalar   = -0.1815242931450055
Ra = 2.6777777777777776 Za = 2.0769230769230775 H_phi_t = 0.005655471004946878
Ra = 2.6777777777777776 Za = 2.0769230769230775 H_phi_s = -0.09531848681469368
Ra = 2.6777777777777776 Za = 2.0769230769230775 H_phi   = -0.08966301580974681
Ra = 3.0 Za = 2.0769230769230775 rot_H_z = -0.037861721410508364
Ra = 3.0 Za = 2.0769230769230775 rot_H_r = -0.1759657644158863
Ra = 3.0 Za = 2.0769230769230775 H_scalar_t = -0.3068585665338274
Ra = 3.0 Za = 2.0769230769230775 H_scalar_s = 0.1522433273142445
Ra = 3.0 Za = 2.0769230769230775 H_scalar   = -0.15461523921958292
Ra = 3.0 Za = 2.0769230769230775 H_phi_t = -0.0543207596418085
Ra = 3.0 Za = 2.0769230769230775 H_phi_s = -0.04163303781915961
Ra = 3.0 Za = 2.0769230769230775 H_phi   = -0.0959537974609681
Ra = 0.1 Za = 2.230769230769231 rot_H_z = 20.76556977875066
Ra = 0.1 Za = 2.230769230769231 rot_H_r = 1.1827060444467232
Ra = 0.1 Za = 2.230769230769231 H_scalar_t = 37.59452533720616
Ra = 0.1 Za = 2.230769230769231 H_scalar_s = -3.297284940619231
Ra = 0.1 Za = 2.230769230769231 H_scalar   = 34.29724039658693
Ra = 0.1 Za = 2.230769230769231 H_phi_t = 2.63155783539728
Ra = 0.1 Za = 2.230769230769231 H_phi_s = -0.28304535083641696
Ra = 0.1 Za = 2.230769230769231 H_phi   = 2.3485124845608634
Ra = 0.42222222222222217 Za = 2.230769230769231 rot_H_z = 1.6158426011862428
Ra = 0.42222222222222217 Za = 2.230769230769231 rot_H_r = 0.14757730534483837
Ra = 0.42222222222222217 Za = 2.230769230769231 H_scalar_t = 8.312475178927077
Ra = 0.42222222222222217 Za = 2.230769230769231 H_scalar_s = -2.8535089046653233
Ra = 0.42222222222222217 Za = 2.230769230769231 H_scalar   = 5.458966274261753
Ra = 0.42222222222222217 Za = 2.230769230769231 H_phi_t = 2.663096373301899
Ra = 0.42222222222222217 Za = 2.230769230769231 H_phi_s = -1.0944758735521265
Ra = 0.42222222222222217 Za = 2.230769230769231 H_phi   = 1.5686204997497726
Ra = 0.7444444444444444 Za = 2.230769230769231 rot_H_z = -0.16843506538040787
Ra = 0.7444444444444444 Za = 2.230769230769231 rot_H_r = -0.2887108430133445
Ra = 0.7444444444444444 Za = 2.230769230769231 H_scalar_t = 3.80260425880344
Ra = 0.7444444444444444 Za = 2.230769230769231 H_scalar_s = -2.0172954246453725
Ra = 0.7444444444444444 Za = 2.230769230769231 H_scalar   = 1.7853088341580676
Ra = 0.7444444444444444 Za = 2.230769230769231 H_phi_t = 2.565621157031948
Ra = 0.7444444444444444 Za = 2.230769230769231 H_phi_s = -1.5739520734657308
Ra = 0.7444444444444444 Za = 2.230769230769231 H_phi   = 0.9916690835662172
Ra = 1.0666666666666667 Za = 2.230769230769231 rot_H_z = -0.48074642357710595
Ra = 1.0666666666666667 Za = 2.230769230769231 rot_H_r = -0.43346936883881027
Ra = 1.0666666666666667 Za = 2.230769230769231 H_scalar_t = 1.617493008528558
Ra = 1.0666666666666667 Za = 2.230769230769231 H_scalar_s = -1.064876196235653
Ra = 1.0666666666666667 Za = 2.230769230769231 H_scalar   = 0.5526168122929049
Ra = 1.0666666666666667 Za = 2.230769230769231 H_phi_t = 2.215374443472046
Ra = 1.0666666666666667 Za = 2.230769230769231 H_phi_s = -1.6279981042166558
Ra = 1.0666666666666667 Za = 2.230769230769231 H_phi   = 0.5873763392553901
Ra = 1.3888888888888888 Za = 2.230769230769231 rot_H_z = -0.4560955555781194
Ra = 1.3888888888888888 Za = 2.230769230769231 rot_H_r = -0.4506167516953947
Ra = 1.3888888888888888 Za = 2.230769230769231 H_scalar_t = 0.3376641560236118
Ra = 1.3888888888888888 Za = 2.230769230769231 H_scalar_s = -0.2752322781192795
Ra = 1.3888888888888888 Za = 2.230769230769231 H_scalar   = 0.062431877904332245
Ra = 1.3888888888888888 Za = 2.230769230769231 H_phi_t = 1.617583024757109
Ra = 1.3888888888888888 Za = 2.230769230769231 H_phi_s = -1.3035579770706995
Ra = 1.3888888888888888 Za = 2.230769230769231 H_phi   = 0.3140250476864095
Ra = 1.711111111111111 Za = 2.230769230769231 rot_H_z = -0.34111448436152114
Ra = 1.711111111111111 Za = 2.230769230769231 rot_H_r = -0.4106263234348374
Ra = 1.711111111111111 Za = 2.230769230769231 H_scalar_t = -0.2648711143748921
Ra = 1.711111111111111 Za = 2.230769230769231 H_scalar_s = 0.13945229159497474
Ra = 1.711111111111111 Za = 2.230769230769231 H_scalar   = -0.12541882277991734
Ra = 1.711111111111111 Za = 2.230769230769231 H_phi_t = 0.9590127897386894
Ra = 1.711111111111111 Za = 2.230769230769231 H_phi_s = -0.8206944316956188
Ra = 1.711111111111111 Za = 2.230769230769231 H_phi   = 0.13831835804307058
Ra = 2.033333333333333 Za = 2.230769230769231 rot_H_z = -0.22544584402725432
Ra = 2.033333333333333 Za = 2.230769230769231 rot_H_r = -0.34258512233277566
Ra = 2.033333333333333 Za = 2.230769230769231 H_scalar_t = -0.4223879312148946
Ra = 2.033333333333333 Za = 2.230769230769231 H_scalar_s = 0.24011470650927702
Ra = 2.033333333333333 Za = 2.230769230769231 H_scalar   = -0.18227322470561758
Ra = 2.033333333333333 Za = 2.230769230769231 H_phi_t = 0.4802545800597441
Ra = 2.033333333333333 Za = 2.230769230769231 H_phi_s = -0.4468041593792571
Ra = 2.033333333333333 Za = 2.230769230769231 H_phi   = 0.03345042068048698
Ra = 2.3555555555555556 Za = 2.230769230769231 rot_H_z = -0.14088642870475265
Ra = 2.3555555555555556 Za = 2.230769230769231 rot_H_r = -0.2718468049745494
Ra = 2.3555555555555556 Za = 2.230769230769231 H_scalar_t = -0.4050257908105873
Ra = 2.3555555555555556 Za = 2.230769230769231 H_scalar_s = 0.21934825431637406
Ra = 2.3555555555555556 Za = 2.230769230769231 H_scalar   = -0.18567753649421326
Ra = 2.3555555555555556 Za = 2.230769230769231 H_phi_t = 0.2083012077001098
Ra = 2.3555555555555556 Za = 2.230769230769231 H_phi_s = -0.23326702998758542
Ra = 2.3555555555555556 Za = 2.230769230769231 H_phi   = -0.024965822287475625
Ra = 2.6777777777777776 Za = 2.230769230769231 rot_H_z = -0.08564523100042026
Ra = 2.6777777777777776 Za = 2.230769230769231 rot_H_r = -0.2115757626333158
Ra = 2.6777777777777776 Za = 2.230769230769231 H_scalar_t = -0.3449855848827409
Ra = 2.6777777777777776 Za = 2.230769230769231 H_scalar_s = 0.17548098577575022
Ra = 2.6777777777777776 Za = 2.230769230769231 H_scalar   = -0.16950459910699067
Ra = 2.6777777777777776 Za = 2.230769230769231 H_phi_t = 0.06531075052887651
Ra = 2.6777777777777776 Za = 2.230769230769231 H_phi_s = -0.12077074661100307
Ra = 2.6777777777777776 Za = 2.230769230769231 H_phi   = -0.05545999608212655
Ra = 3.0 Za = 2.230769230769231 rot_H_z = -0.050661754508943696
Ra = 3.0 Za = 2.230769230769231 rot_H_r = -0.1640015016233911
Ra = 3.0 Za = 2.230769230769231 H_scalar_t = -0.2833219539551055
Ra = 3.0 Za = 2.230769230769231 H_scalar_s = 0.13554949862920973
Ra = 3.0 Za = 2.230769230769231 H_scalar   = -0.14777245532589578
Ra = 3.0 Za = 2.230769230769231 H_phi_t = -0.008661674783801023
Ra = 3.0 Za = 2.230769230769231 H_phi_s = -0.061112884996275874
Ra = 3.0 Za = 2.230769230769231 H_phi   = -0.06977455978007689
Ra = 0.1 Za = 2.384615384615385 rot_H_z = 19.355288096160116
Ra = 0.1 Za = 2.384615384615385 rot_H_r = 1.4153496708066906
Ra = 0.1 Za = 2.384615384615385 H_scalar_t = 33.75241242611066
Ra = 0.1 Za = 2.384615384615385 H_scalar_s = -2.547874865533486
Ra = 0.1 Za = 2.384615384615385 H_scalar   = 31.204537560577172
Ra = 0.1 Za = 2.384615384615385 H_phi_t = 2.355075323009391
Ra = 0.1 Za = 2.384615384615385 H_phi_s = -0.21041059524714162
Ra = 0.1 Za = 2.384615384615385 H_phi   = 2.1446647277622493
Ra = 0.42222222222222217 Za = 2.384615384615385 rot_H_z = 1.8128707227709073
Ra = 0.42222222222222217 Za = 2.384615384615385 rot_H_r = 0.5085841668735016
Ra = 0.42222222222222217 Za = 2.384615384615385 H_scalar_t = 7.420435472009843
Ra = 0.42222222222222217 Za = 2.384615384615385 H_scalar_s = -2.226891734336361
Ra = 0.42222222222222217 Za = 2.384615384615385 H_scalar   = 5.193543737673482
Ra = 0.42222222222222217 Za = 2.384615384615385 H_phi_t = 2.331527404421522
Ra = 0.42222222222222217 Za = 2.384615384615385 H_phi_s = -0.8164069168289152
Ra = 0.42222222222222217 Za = 2.384615384615385 H_phi   = 1.5151204875926068
Ra = 0.7444444444444444 Za = 2.384615384615385 rot_H_z = 0.0002933413537649088
Ra = 0.7444444444444444 Za = 2.384615384615385 rot_H_r = 0.021247487148980948
Ra = 0.7444444444444444 Za = 2.384615384615385 H_scalar_t = 3.415670833736779
Ra = 0.7444444444444444 Za = 2.384615384615385 H_scalar_s = -1.6177647855632755
Ra = 0.7444444444444444 Za = 2.384615384615385 H_scalar   = 1.7979060481735036
Ra = 0.7444444444444444 Za = 2.384615384615385 H_phi_t = 2.198013605532942
Ra = 0.7444444444444444 Za = 2.384615384615385 H_phi_s = -1.1875524605239585
Ra = 0.7444444444444444 Za = 2.384615384615385 H_phi   = 1.0104611450089835
Ra = 1.0666666666666667 Za = 2.384615384615385 rot_H_z = -0.38409213577680246
Ra = 1.0666666666666667 Za = 2.384615384615385 rot_H_r = -0.20760386832767486
Ra = 1.0666666666666667 Za = 2.384615384615385 H_scalar_t = 1.534946937381127
Ra = 1.0666666666666667 Za = 2.384615384615385 H_scalar_s = -0.9157241831390848
Ra = 1.0666666666666667 Za = 2.384615384615385 H_scalar   = 0.6192227542420423
Ra = 1.0666666666666667 Za = 2.384615384615385 H_phi_t = 1.885863220167803
Ra = 1.0666666666666667 Za = 2.384615384615385 H_phi_s = -1.250112293834474
Ra = 1.0666666666666667 Za = 2.384615384615385 H_phi   = 0.635750926333329
Ra = 1.3888888888888888 Za = 2.384615384615385 rot_H_z = -0.4078211817235967
Ra = 1.3888888888888888 Za = 2.384615384615385 rot_H_r = -0.29614559076359437
Ra = 1.3888888888888888 Za = 2.384615384615385 H_scalar_t = 0.4528666893189716
Ra = 1.3888888888888888 Za = 2.384615384615385 H_scalar_s = -0.3238289547484241
Ra = 1.3888888888888888 Za = 2.384615384615385 H_scalar   = 0.1290377345705475
Ra = 1.3888888888888888 Za = 2.384615384615385 H_phi_t = 1.413719348355872
Ra = 1.3888888888888888 Za = 2.384615384615385 H_phi_s = -1.0426994459956247
Ra = 1.3888888888888888 Za = 2.384615384615385 H_phi   = 0.3710199023602474
Ra = 1.711111111111111 Za = 2.384615384615385 rot_H_z = -0.32564160934010067
Ra = 1.711111111111111 Za = 2.384615384615385 rot_H_r = -0.30810659821957365
Ra = 1.711111111111111 Za = 2.384615384615385 H_scalar_t = -0.09711779512598916
Ra = 1.711111111111111 Za = 2.384615384615385 H_scalar_s = 0.02314290313829037
Ra = 1.711111111111111 Za = 2.384615384615385 H_scalar   = -0.07397489198769878
Ra = 1.711111111111111 Za = 2.384615384615385 H_phi_t = 0.9072900480300888
Ra = 1.711111111111111 Za = 2.384615384615385 H_phi_s = -0.7138804389066903
Ra = 1.711111111111111 Za = 2.384615384615385 H_phi   = 0.19340960912339855
Ra = 2.033333333333333 Za = 2.384615384615385 rot_H_z = -0.22890558891921775
Ra = 2.033333333333333 Za = 2.384615384615385 rot_H_r = -0.2783427391052189
Ra = 2.033333333333333 Za = 2.384615384615385 H_scalar_t = -0.2964989679261086
Ra = 2.033333333333333 Za = 2.384615384615385 H_scalar_s = 0.14930808945056917
Ra = 2.033333333333333 Za = 2.384615384615385 H_scalar   = -0.1471908784755394
Ra = 2.033333333333333 Za = 2.384615384615385 H_phi_t = 0.5108329561683892
Ra = 2.033333333333333 Za = 2.384615384615385 H_phi_s = -0.42967783935235704
Ra = 2.033333333333333 Za = 2.384615384615385 H_phi   = 0.08115511681603216
Ra = 2.3555555555555556 Za = 2.384615384615385 rot_H_z = -0.15127577571053774
Ra = 2.3555555555555556 Za = 2.384615384615385 rot_H_r = -0.23324587687114
Ra = 2.3555555555555556 Za = 2.384615384615385 H_scalar_t = -0.3279050485002954
Ra = 2.3555555555555556 Za = 2.384615384615385 H_scalar_s = 0.16479160533156012
Ra = 2.3555555555555556 Za = 2.384615384615385 H_scalar   = -0.16311344316873527
Ra = 2.3555555555555556 Za = 2.384615384615385 H_phi_t = 0.2588695557474509
Ra = 2.3555555555555556 Za = 2.384615384615385 H_phi_s = -0.24498282432654128
Ra = 2.3555555555555556 Za = 2.384615384615385 H_phi   = 0.013886731420909626
Ra = 2.6777777777777776 Za = 2.384615384615385 rot_H_z = -0.09697317139771
Ra = 2.6777777777777776 Za = 2.384615384615385 rot_H_r = -0.18858609940780358
Ra = 2.6777777777777776 Za = 2.384615384615385 H_scalar_t = -0.2998149494190424
Ra = 2.6777777777777776 Za = 2.384615384615385 H_scalar_s = 0.14441374477799562
Ra = 2.6777777777777776 Za = 2.384615384615385 H_scalar   = -0.1554012046410468
Ra = 2.6777777777777776 Za = 2.384615384615385 H_phi_t = 0.1126182638184678
Ra = 2.6777777777777776 Za = 2.384615384615385 H_phi_s = -0.13728042272575003
Ra = 2.6777777777777776 Za = 2.384615384615385 H_phi   = -0.024662158907282225
Ra = 3.0 Za = 2.384615384615385 rot_H_z = -0.060825241164676164
Ra = 3.0 Za = 2.384615384615385 rot_H_r = -0.15024705144919973
Ra = 3.0 Za = 2.384615384615385 H_scalar_t = -0.2568915193410617
Ra = 3.0 Za = 2.384615384615385 H_scalar_s = 0.11772899980824114
Ra = 3.0 Za = 2.384615384615385 H_scalar   = -0.13916251953282055
Ra = 3.0 Za = 2.384615384615385 H_phi_t = 0.03026323140617651
Ra = 3.0 Za = 2.384615384615385 H_phi_s = -0.07584675557507392
Ra = 3.0 Za = 2.384615384615385 H_phi   = -0.04558352416889741
Ra = 0.1 Za = 2.5384615384615383 rot_H_z = 17.634086901529752
Ra = 0.1 Za = 2.5384615384615383 rot_H_r = 1.4280321139594663
Ra = 0.1 Za = 2.5384615384615383 H_scalar_t = 30.34592711628059
Ra = 0.1 Za = 2.5384615384615383 H_scalar_s = -1.9886205327914754
Ra = 0.1 Za = 2.5384615384615383 H_scalar   = 28.357306583489112
Ra = 0.1 Za = 2.5384615384615383 H_phi_t = 2.08176824657634
Ra = 0.1 Za = 2.5384615384615383 H_phi_s = -0.15767462631349058
Ra = 0.1 Za = 2.5384615384615383 H_phi   = 1.9240936202628496
Ra = 0.42222222222222217 Za = 2.5384615384615383 rot_H_z = 1.896334974757457
Ra = 0.42222222222222217 Za = 2.5384615384615383 rot_H_r = 0.6826335004991797
Ra = 0.42222222222222217 Za = 2.5384615384615383 H_scalar_t = 6.661877796647523
Ra = 0.42222222222222217 Za = 2.5384615384615383 H_scalar_s = -1.754893670824319
Ra = 0.42222222222222217 Za = 2.5384615384615383 H_scalar   = 4.906984125823204
Ra = 0.42222222222222217 Za = 2.5384615384615383 H_phi_t = 2.036087600469282
Ra = 0.42222222222222217 Za = 2.5384615384615383 H_phi_s = -0.6144338607575458
Ra = 0.42222222222222217 Za = 2.5384615384615383 H_phi   = 1.4216537397117364
Ra = 0.7444444444444444 Za = 2.5384615384615383 rot_H_z = 0.13946618901682872
Ra = 0.7444444444444444 Za = 2.5384615384615383 rot_H_r = 0.21376625495844293
Ra = 0.7444444444444444 Za = 2.5384615384615383 H_scalar_t = 3.094960955547305
Ra = 0.7444444444444444 Za = 2.5384615384615383 H_scalar_s = -1.3082129495242825
Ra = 0.7444444444444444 Za = 2.5384615384615383 H_scalar   = 1.7867480060230228
Ra = 0.7444444444444444 Za = 2.5384615384615383 H_phi_t = 1.894583014541203
Ra = 0.7444444444444444 Za = 2.5384615384615383 H_phi_s = -0.9034480637799889
Ra = 0.7444444444444444 Za = 2.5384615384615383 H_phi   = 0.9911349507612142
Ra = 1.0666666666666667 Za = 2.5384615384615383 rot_H_z = -0.2869491600217203
Ra = 1.0666666666666667 Za = 2.5384615384615383 rot_H_r = -0.04669777383257223
Ra = 1.0666666666666667 Za = 2.5384615384615383 H_scalar_t = 1.458183738452968
Ra = 1.0666666666666667 Za = 2.5384615384615383 H_scalar_s = -0.7873993824746077
Ra = 1.0666666666666667 Za = 2.5384615384615383 H_scalar   = 0.6707843559783602
Ra = 1.0666666666666667 Za = 2.5384615384615383 H_phi_t = 1.623773827482524
Ra = 1.0666666666666667 Za = 2.5384615384615383 H_phi_s = -0.9691922985132734
Ra = 1.0666666666666667 Za = 2.5384615384615383 H_phi   = 0.6545815289692506
Ra = 1.3888888888888888 Za = 2.5384615384615383 rot_H_z = -0.35169223246454434
Ra = 1.3888888888888888 Za = 2.5384615384615383 rot_H_r = -0.17453675214663145
Ra = 1.3888888888888888 Za = 2.5384615384615383 H_scalar_t = 0.5248992868756396
Ra = 1.3888888888888888 Za = 2.5384615384615383 H_scalar_s = -0.3373818773469859
Ra = 1.3888888888888888 Za = 2.5384615384615383 H_scalar   = 0.1875174095286537
Ra = 1.3888888888888888 Za = 2.5384615384615383 H_phi_t = 1.246240863779117
Ra = 1.3888888888888888 Za = 2.5384615384615383 H_phi_s = -0.839407516754737
Ra = 1.3888888888888888 Za = 2.5384615384615383 H_phi   = 0.4068333470243799
Ra = 1.711111111111111 Za = 2.5384615384615383 rot_H_z = -0.30057936073801905
Ra = 1.711111111111111 Za = 2.5384615384615383 rot_H_r = -0.22102001608793792
Ra = 1.711111111111111 Za = 2.5384615384615383 H_scalar_t = 0.02421985876310943
Ra = 1.711111111111111 Za = 2.5384615384615383 H_scalar_s = -0.049930730635245
Ra = 1.711111111111111 Za = 2.5384615384615383 H_scalar   = -0.025710871872135572
Ra = 1.711111111111111 Za = 2.5384615384615383 H_phi_t = 0.8471644905767869
Ra = 1.711111111111111 Za = 2.5384615384615383 H_phi_s = -0.6132502792160691
Ra = 1.711111111111111 Za = 2.5384615384615383 H_phi   = 0.23391421136071777
Ra = 2.033333333333333 Za = 2.5384615384615383 rot_H_z = -0.22352041369460585
Ra = 2.033333333333333 Za = 2.5384615384615383 rot_H_r = -0.21968503504645176
Ra = 2.033333333333333 Za = 2.5384615384615383 H_scalar_t = -0.1928750440170579
Ra = 2.033333333333333 Za = 2.5384615384615383 H_scalar_s = 0.08058144859474692
Ra = 2.033333333333333 Za = 2.5384615384615383 H_scalar   = -0.11229359542231099
Ra = 2.033333333333333 Za = 2.5384615384615383 H_phi_t = 0.5183431578417066
Ra = 2.033333333333333 Za = 2.5384615384615383 H_phi_s = -0.39896016016609614
Ra = 2.033333333333333 Za = 2.5384615384615383 H_phi   = 0.11938299767561045
Ra = 2.3555555555555556 Za = 2.5384615384615383 rot_H_z = -0.155256874474051
Ra = 2.3555555555555556 Za = 2.5384615384615383 rot_H_r = -0.19560524269822094
Ra = 2.3555555555555556 Za = 2.5384615384615383 H_scalar_t = -0.2571491421197168
Ra = 2.3555555555555556 Za = 2.5384615384615383 H_scalar_s = 0.1176891584294315
Ra = 2.3555555555555556 Za = 2.5384615384615383 H_scalar   = -0.13945998369028528
Ra = 2.3555555555555556 Za = 2.5384615384615383 H_phi_t = 0.2913798733711468
Ra = 2.3555555555555556 Za = 2.5384615384615383 H_phi_s = -0.24452728142045532
Ra = 2.3555555555555556 Za = 2.5384615384615383 H_phi   = 0.04685259195069147
Ra = 2.6777777777777776 Za = 2.5384615384615383 rot_H_z = -0.10414635821986895
Ra = 2.6777777777777776 Za = 2.5384615384615383 rot_H_r = -0.16492870607684454
Ra = 2.6777777777777776 Za = 2.5384615384615383 H_scalar_t = -0.2549655826849543
Ra = 2.6777777777777776 Za = 2.5384615384615383 H_scalar_s = 0.11508548950052311
Ra = 2.6777777777777776 Za = 2.5384615384615383 H_scalar   = -0.13988009318443118
Ra = 2.6777777777777776 Za = 2.5384615384615383 H_phi_t = 0.1486883895587707
Ra = 2.6777777777777776 Za = 2.5384615384615383 H_phi_s = -0.1461556652692717
Ra = 2.6777777777777776 Za = 2.5384615384615383 H_phi   = 0.0025327242894989943
Ra = 3.0 Za = 2.5384615384615383 rot_H_z = -0.06837706710858678
Ra = 3.0 Za = 2.5384615384615383 rot_H_r = -0.1354376288358832
Ra = 3.0 Za = 2.5384615384615383 H_scalar_t = -0.2290223220449005
Ra = 3.0 Za = 2.5384615384615383 H_scalar_s = 0.09983116246754797
Ra = 3.0 Za = 2.5384615384615383 H_scalar   = -0.12919115957735253
Ra = 3.0 Za = 2.5384615384615383 H_phi_t = 0.06252799230317069
Ra = 3.0 Za = 2.5384615384615383 H_phi_s = -0.0861266315945779
Ra = 3.0 Za = 2.5384615384615383 H_phi   = -0.02359863929140721
Ra = 0.1 Za = 2.6923076923076925 rot_H_z = 15.86377841683058
Ra = 0.1 Za = 2.6923076923076925 rot_H_r = 1.3412666644156144
Ra = 0.1 Za = 2.6923076923076925 H_scalar_t = 27.34865165757326
Ra = 0.1 Za = 2.6923076923076925 H_scalar_s = -1.5676854235958912
Ra = 0.1 Za = 2.6923076923076925 H_scalar   = 25.78096623397737
Ra = 0.1 Za = 2.6923076923076925 H_phi_t = 1.829472889959383
Ra = 0.1 Za = 2.6923076923076925 H_phi_s = -0.11919978616250668
Ra = 0.1 Za = 2.6923076923076925 H_phi   = 1.7102731037968764
Ra = 0.42222222222222217 Za = 2.6923076923076925 rot_H_z = 1.8991946735454683
Ra = 0.42222222222222217 Za = 2.6923076923076925 rot_H_r = 0.7452270590685701
Ra = 0.42222222222222217 Za = 2.6923076923076925 H_scalar_t = 6.010424413820271
Ra = 0.42222222222222217 Za = 2.6923076923076925 H_scalar_s = -1.3962453041160787
Ra = 0.42222222222222217 Za = 2.6923076923076925 H_scalar   = 4.614179109704192
Ra = 0.42222222222222217 Za = 2.6923076923076925 H_phi_t = 1.777314735107033
Ra = 0.42222222222222217 Za = 2.6923076923076925 H_phi_s = -0.46656675921907603
Ra = 0.42222222222222217 Za = 2.6923076923076925 H_phi   = 1.310747975887957
Ra = 0.7444444444444444 Za = 2.6923076923076925 rot_H_z = 0.24690082430372184
Ra = 0.7444444444444444 Za = 2.6923076923076925 rot_H_r = 0.325159285447967
Ra = 0.7444444444444444 Za = 2.6923076923076925 H_scalar_t = 2.823018760150861
Ra = 0.7444444444444444 Za = 2.6923076923076925 H_scalar_s = -1.0663902819392965
Ra = 0.7444444444444444 Za = 2.6923076923076925 H_scalar   = 1.7566284782115646
Ra = 0.7444444444444444 Za = 2.6923076923076925 H_phi_t = 1.642185356026023
Ra = 0.7444444444444444 Za = 2.6923076923076925 H_phi_s = -0.6933547223219686
Ra = 0.7444444444444444 Za = 2.6923076923076925 H_phi   = 0.9488306337040543
Ra = 1.0666666666666667 Za = 2.6923076923076925 rot_H_z = -0.19732735608344348
Ra = 1.0666666666666667 Za = 2.6923076923076925 rot_H_r = 0.064196694293009
Ra = 1.0666666666666667 Za = 2.6923076923076925 H_scalar_t = 1.384859421884316
Ra = 1.0666666666666667 Za = 2.6923076923076925 H_scalar_s = -0.6769519120598368
Ra = 1.0666666666666667 Za = 2.6923076923076925 H_scalar   = 0.7079075098244791
Ra = 1.0666666666666667 Za = 2.6923076923076925 H_phi_t = 1.410869792888372
Ra = 1.0666666666666667 Za = 2.6923076923076925 H_phi_s = -0.7581900110141169
Ra = 1.0666666666666667 Za = 2.6923076923076925 H_phi   = 0.6526797818742551
Ra = 1.3888888888888888 Za = 2.6923076923076925 rot_H_z = -0.29382794735673123
Ra = 1.3888888888888888 Za = 2.6923076923076925 rot_H_r = -0.08119761039418427
Ra = 1.3888888888888888 Za = 2.6923076923076925 H_scalar_t = 0.5682824635660323
Ra = 1.3888888888888888 Za = 2.6923076923076925 H_scalar_s = -0.3311169894530277
Ra = 1.3888888888888888 Za = 2.6923076923076925 H_scalar   = 0.2371654741130046
Ra = 1.3888888888888888 Za = 2.6923076923076925 H_phi_t = 1.105623510024729
Ra = 1.3888888888888888 Za = 2.6923076923076925 H_phi_s = -0.6794500465951276
Ra = 1.3888888888888888 Za = 2.6923076923076925 H_phi   = 0.4261734634296013
Ra = 1.711111111111111 Za = 2.6923076923076925 rot_H_z = -0.27012352821500246
Ra = 1.711111111111111 Za = 2.6923076923076925 rot_H_r = -0.14891436732683533
Ra = 1.711111111111111 Za = 2.6923076923076925 H_scalar_t = 0.1125028142223253
Ra = 1.711111111111111 Za = 2.6923076923076925 H_scalar_s = -0.09426644901150105
Ra = 1.711111111111111 Za = 2.6923076923076925 H_scalar   = 0.01823636521082425
Ra = 1.711111111111111 Za = 2.6923076923076925 H_phi_t = 0.7854034536883642
Ra = 1.711111111111111 Za = 2.6923076923076925 H_phi_s = -0.5232181164124489
Ra = 1.711111111111111 Za = 2.6923076923076925 H_phi   = 0.2621853372759153
Ra = 2.033333333333333 Za = 2.6923076923076925 rot_H_z = -0.2119450813944801
Ra = 2.033333333333333 Za = 2.6923076923076925 rot_H_r = -0.16783409057448306
Ra = 2.033333333333333 Za = 2.6923076923076925 H_scalar_t = -0.1088772779201341
Ra = 2.033333333333333 Za = 2.6923076923076925 H_scalar_s = 0.03014529835655466
Ra = 2.033333333333333 Za = 2.6923076923076925 H_scalar   = -0.07873197956357944
Ra = 2.033333333333333 Za = 2.6923076923076925 H_phi_t = 0.5114378085842527
Ra = 2.033333333333333 Za = 2.6923076923076925 H_phi_s = -0.3623367799879216
Ra = 2.033333333333333 Za = 2.6923076923076925 H_phi   = 0.14910102859633112
Ra = 2.3555555555555556 Za = 2.6923076923076925 rot_H_z = -0.15410813138505597
Ra = 2.3555555555555556 Za = 2.6923076923076925 rot_H_r = -0.16030991143952272
Ra = 2.3555555555555556 Za = 2.6923076923076925 H_scalar_t = -0.1942670430545168
Ra = 2.3555555555555556 Za = 2.6923076923076925 H_scalar_s = 0.07866196474421394
Ra = 2.3555555555555556 Za = 2.6923076923076925 H_scalar   = -0.11560507831030287
Ra = 2.3555555555555556 Za = 2.6923076923076925 H_phi_t = 0.310123684541445
Ra = 2.3555555555555556 Za = 2.6923076923076925 H_phi_s = -0.2359294879651459
Ra = 2.3555555555555556 Za = 2.6923076923076925 H_phi   = 0.07419419657629911
Ra = 2.6777777777777776 Za = 2.6923076923076925 rot_H_z = -0.10766557939425819
Ra = 2.6777777777777776 Za = 2.6923076923076925 rot_H_r = -0.14161241646219064
Ra = 2.6777777777777776 Za = 2.6923076923076925 H_scalar_t = -0.2121578783809549
Ra = 2.6777777777777776 Za = 2.6923076923076925 H_scalar_s = 0.08861417503677749
Ra = 2.6777777777777776 Za = 2.6923076923076925 H_scalar   = -0.12354370334417741
Ra = 2.6777777777777776 Za = 2.6923076923076925 H_phi_t = 0.1750566657755947
Ra = 2.6777777777777776 Za = 2.6923076923076925 H_phi_s = -0.1489535660476342
Ra = 2.6777777777777776 Za = 2.6923076923076925 H_phi   = 0.026103099727960488
Ra = 3.0 Za = 2.6923076923076925 rot_H_z = -0.0734773659557109
Ra = 3.0 Za = 2.6923076923076925 rot_H_r = -0.1202179538365899
Ra = 3.0 Za = 2.6923076923076925 H_scalar_t = -0.2009046464177598
Ra = 3.0 Za = 2.6923076923076925 H_scalar_s = 0.0826553515552586
Ra = 3.0 Za = 2.6923076923076925 H_scalar   = -0.11824929486250119
Ra = 3.0 Za = 2.6923076923076925 H_phi_t = 0.08854786243477285
Ra = 3.0 Za = 2.6923076923076925 H_phi_s = -0.09247910801256176
Ra = 3.0 Za = 2.6923076923076925 H_phi   = -0.003931245577788914
Ra = 0.1 Za = 2.8461538461538467 rot_H_z = 14.173320472110282
Ra = 0.1 Za = 2.8461538461538467 rot_H_r = 1.214687176924671
Ra = 0.1 Za = 2.8461538461538467 H_scalar_t = 24.71994427741967
Ra = 0.1 Za = 2.8461538461538467 H_scalar_s = -1.2480114603459909
Ra = 0.1 Za = 2.8461538461538467 H_scalar   = 23.47193281707368
Ra = 0.1 Za = 2.8461538461538467 H_phi_t = 1.604321108501304
Ra = 0.1 Za = 2.8461538461538467 H_phi_s = -0.0909311842124778
Ra = 0.1 Za = 2.8461538461538467 H_phi   = 1.5133899242888262
Ra = 0.42222222222222217 Za = 2.8461538461538467 rot_H_z = 1.8489008631258215
Ra = 0.42222222222222217 Za = 2.8461538461538467 rot_H_r = 0.7440437242350433
Ra = 0.42222222222222217 Za = 2.8461538461538467 H_scalar_t = 5.446633023364058
Ra = 0.42222222222222217 Za = 2.8461538461538467 H_scalar_s = -1.1213027852173503
Ra = 0.42222222222222217 Za = 2.8461538461538467 H_scalar   = 4.325330238146707
Ra = 0.42222222222222217 Za = 2.8461538461538467 H_phi_t = 1.553084741616175
Ra = 0.42222222222222217 Za = 2.8461538461538467 H_phi_s = -0.35749182050145045
Ra = 0.42222222222222217 Za = 2.8461538461538467 H_phi   = 1.1955929211147245
Ra = 0.7444444444444444 Za = 2.8461538461538467 rot_H_z = 0.32494245103062513
Ra = 0.7444444444444444 Za = 2.8461538461538467 rot_H_r = 0.3821100136814882
Ra = 0.7444444444444444 Za = 2.8461538461538467 H_scalar_t = 2.588167928857517
Ra = 0.7444444444444444 Za = 2.8461538461538467 H_scalar_s = -0.8758788700947724
Ra = 0.7444444444444444 Za = 2.8461538461538467 H_scalar   = 1.7122890587627446
Ra = 0.7444444444444444 Za = 2.8461538461538467 H_phi_t = 1.430741294932011
Ra = 0.7444444444444444 Za = 2.8461538461538467 H_phi_s = -0.5368766561686327
Ra = 0.7444444444444444 Za = 2.8461538461538467 H_phi   = 0.8938646387633784
Ra = 1.0666666666666667 Za = 2.8461538461538467 rot_H_z = -0.11908185251660891
Ra = 1.0666666666666667 Za = 2.8461538461538467 rot_H_r = 0.13748635467600245
Ra = 1.0666666666666667 Za = 2.8461538461538467 H_scalar_t = 1.314301293031606
Ra = 1.0666666666666667 Za = 2.8461538461538467 H_scalar_s = -0.5822130213065595
Ra = 1.0666666666666667 Za = 2.8461538461538467 H_scalar   = 0.7320882717250465
Ra = 1.0666666666666667 Za = 2.8461538461538467 H_phi_t = 1.234917150355635
Ra = 1.0666666666666667 Za = 2.8461538461538467 H_phi_s = -0.5981642269731826
Ra = 1.0666666666666667 Za = 2.8461538461538467 H_phi   = 0.6367529233824525
Ra = 1.3888888888888888 Za = 2.8461538461538467 rot_H_z = -0.23814990054881843
Ra = 1.3888888888888888 Za = 2.8461538461538467 rot_H_r = -0.011380671443479984
Ra = 1.3888888888888888 Za = 2.8461538461538467 H_scalar_t = 0.5921406640401473
Ra = 1.3888888888888888 Za = 2.8461538461538467 H_scalar_s = -0.3140997848649578
Ra = 1.3888888888888888 Za = 2.8461538461538467 H_scalar   = 0.2780408791751895
Ra = 1.3888888888888888 Za = 2.8461538461538467 H_phi_t = 0.9857905978970712
Ra = 1.3888888888888888 Za = 2.8461538461538467 H_phi_s = -0.552767605922357
Ra = 1.3888888888888888 Za = 2.8461538461538467 H_phi   = 0.4330229919747143
Ra = 1.711111111111111 Za = 2.8461538461538467 rot_H_z = -0.23735819843134043
Ra = 1.711111111111111 Za = 2.8461538461538467 rot_H_r = -0.090541692287128
Ra = 1.711111111111111 Za = 2.8461538461538467 H_scalar_t = 0.1767664840646265
Ra = 1.711111111111111 Za = 2.8461538461538467 H_scalar_s = -0.11947931056992767
Ra = 1.711111111111111 Za = 2.8461538461538467 H_scalar   = 0.057287173494698834
Ra = 1.711111111111111 Za = 2.8461538461538467 H_phi_t = 0.7252533851746723
Ra = 1.711111111111111 Za = 2.8461538461538467 H_phi_s = -0.4448144856925451
Ra = 1.711111111111111 Za = 2.8461538461538467 H_phi   = 0.2804388994821272
Ra = 2.033333333333333 Za = 2.8461538461538467 rot_H_z = -0.19635755702432195
Ra = 2.033333333333333 Za = 2.8461538461538467 rot_H_r = -0.12314448881656648
Ra = 2.033333333333333 Za = 2.8461538461538467 H_scalar_t = -0.04140056443499352
Ra = 2.033333333333333 Za = 2.8461538461538467 H_scalar_s = -0.00588411552923751
Ra = 2.033333333333333 Za = 2.8461538461538467 H_scalar   = -0.04728467996423103
Ra = 2.033333333333333 Za = 2.8461538461538467 H_phi_t = 0.4957610180110856
Ra = 2.033333333333333 Za = 2.8461538461538467 H_phi_s = -0.324368610459306
Ra = 2.033333333333333 Za = 2.8461538461538467 H_phi   = 0.1713924075517796
Ra = 2.3555555555555556 Za = 2.8461538461538467 rot_H_z = -0.14906706188809987
Ra = 2.3555555555555556 Za = 2.8461538461538467 rot_H_r = -0.12818065514640792
Ra = 2.3555555555555556 Za = 2.8461538461538467 H_scalar_t = -0.1395516904209189
Ra = 2.3555555555555556 Za = 2.8461538461538467 H_scalar_s = 0.04731022378928951
Ra = 2.3555555555555556 Za = 2.8461538461538467 H_scalar   = -0.09224146663162938
Ra = 2.3555555555555556 Za = 2.8461538461538467 H_phi_t = 0.3186853302413507
Ra = 2.3555555555555556 Za = 2.8461538461538467 H_phi_s = -0.2223435296461811
Ra = 2.3555555555555556 Za = 2.8461538461538467 H_phi   = 0.09634180059516961
Ra = 2.6777777777777776 Za = 2.8461538461538467 rot_H_z = -0.10812249048088168
Ra = 2.6777777777777776 Za = 2.8461538461538467 rot_H_r = -0.11937367882323591
Ra = 2.6777777777777776 Za = 2.8461538461538467 H_scalar_t = -0.1724349212954746
Ra = 2.6777777777777776 Za = 2.8461538461538467 H_scalar_s = 0.06552563619211238
Ra = 2.6777777777777776 Za = 2.8461538461538467 H_scalar   = -0.10690928510336223
Ra = 2.6777777777777776 Za = 2.8461538461538467 H_phi_t = 0.1933579547233762
Ra = 2.6777777777777776 Za = 2.8461538461538467 H_phi_s = -0.147196500826005
Ra = 2.6777777777777776 Za = 2.8461538461538467 H_phi   = 0.046161453897371196
Ra = 3.0 Za = 2.8461538461538467 rot_H_z = -0.0763766995443763
Ra = 3.0 Za = 2.8461538461538467 rot_H_r = -0.10511764676962312
Ra = 3.0 Za = 2.8461538461538467 H_scalar_t = -0.173440121021518
Ra = 3.0 Za = 2.8461538461538467 H_scalar_s = 0.0667444280805658
Ra = 3.0 Za = 2.8461538461538467 H_scalar   = -0.10669569294095221
Ra = 3.0 Za = 2.8461538461538467 H_phi_t = 0.1089410615907583
Ra = 3.0 Za = 2.8461538461538467 H_phi_s = -0.09554323060162773
Ra = 3.0 Za = 2.8461538461538467 H_phi   = 0.013397830989130569
Ra = 0.1 Za = 3.0 rot_H_z = 12.620476477634615
Ra = 0.1 Za = 3.0 rot_H_r = 1.0780942994611025
Ra = 0.1 Za = 3.0 H_scalar_t = 22.41584731012706
Ra = 0.1 Za = 3.0 H_scalar_s = -1.0030219116011958
Ra = 0.1 Za = 3.0 H_scalar   = 21.412825398525865
Ra = 0.1 Za = 3.0 H_phi_t = 1.4070140847156
Ra = 0.1 Za = 3.0 H_phi_s = -0.07000214066967263
Ra = 0.1 Za = 3.0 H_phi   = 1.3370119440459274
Ra = 0.42222222222222217 Za = 3.0 rot_H_z = 1.7660409818123566
Ra = 0.42222222222222217 Za = 3.0 rot_H_r = 0.7083952930952949
Ra = 0.42222222222222217 Za = 3.0 H_scalar_t = 4.955581910077284
Ra = 0.42222222222222217 Za = 3.0 H_scalar_s = -0.9086356981487658
Ra = 0.42222222222222217 Za = 3.0 H_scalar   = 4.0469462119285184
Ra = 0.42222222222222217 Za = 3.0 H_phi_t = 1.359968224119479
Ra = 0.42222222222222217 Za = 3.0 H_phi_s = -0.276408797913911
Ra = 0.42222222222222217 Za = 3.0 H_phi   = 1.083559426205568
Ra = 0.7444444444444444 Za = 3.0 rot_H_z = 0.377934571726084
Ra = 0.7444444444444444 Za = 3.0 rot_H_r = 0.4035660538392909
Ra = 0.7444444444444444 Za = 3.0 H_scalar_t = 2.382502931005904
Ra = 0.7444444444444444 Za = 3.0 H_scalar_s = -0.7245714768534863
Ra = 0.7444444444444444 Za = 3.0 H_scalar   = 1.6579314541524177
Ra = 0.7444444444444444 Za = 3.0 H_phi_t = 1.252475062901707
Ra = 0.7444444444444444 Za = 3.0 H_phi_s = -0.4194064161376686
Ra = 0.7444444444444444 Za = 3.0 H_phi   = 0.8330686467640384
Ra = 1.0666666666666667 Za = 3.0 rot_H_z = -0.053437612974605586
Ra = 1.0666666666666667 Za = 3.0 rot_H_r = 0.1831248968878465
Ra = 1.0666666666666667 Za = 3.0 H_scalar_t = 1.246432771610334
Ra = 1.0666666666666667 Za = 3.0 H_scalar_s = -0.5012359138190943
Ra = 1.0666666666666667 Za = 3.0 H_scalar   = 0.7451968577912398
Ra = 1.0666666666666667 Za = 3.0 H_phi_t = 1.087494757625962
Ra = 1.0666666666666667 Za = 3.0 H_phi_s = -0.47570423981397353
Ra = 1.0666666666666667 Za = 3.0 H_phi   = 0.6117905178119885
Ra = 1.3888888888888888 Za = 3.0 rot_H_z = -0.1869558038468463
Ra = 1.3888888888888888 Za = 3.0 rot_H_r = 0.0393913109390337
Ra = 1.3888888888888888 Za = 3.0 H_scalar_t = 0.6024564469251357
Ra = 1.3888888888888888 Za = 3.0 H_scalar_s = -0.291782190147432
Ra = 1.3888888888888888 Za = 3.0 H_scalar   = 0.31067425677770366
Ra = 1.3888888888888888 Za = 3.0 H_phi_t = 0.8825655933000564
Ra = 1.3888888888888888 Za = 3.0 H_phi_s = -0.45191460603407807
Ra = 1.3888888888888888 Za = 3.0 H_phi   = 0.4306509872659783
Ra = 1.711111111111111 Za = 3.0 rot_H_z = -0.20445933895390456
Ra = 1.711111111111111 Za = 3.0 rot_H_r = -0.04427006541566936
Ra = 1.711111111111111 Za = 3.0 H_scalar_t = 0.2232837760219449
Ra = 1.711111111111111 Za = 3.0 H_scalar_s = -0.13201973605624984
Ra = 1.711111111111111 Za = 3.0 H_scalar   = 0.09126403996569507
Ra = 1.711111111111111 Za = 3.0 H_phi_t = 0.6682497182904966
Ra = 1.711111111111111 Za = 3.0 H_phi_s = -0.3775846509587486
Ra = 1.711111111111111 Za = 3.0 H_phi   = 0.290665067331748
Ra = 2.033333333333333 Za = 3.0 rot_H_z = -0.178472862642449
Ra = 2.033333333333333 Za = 3.0 rot_H_r = -0.08543060657826165
Ra = 2.033333333333333 Za = 3.0 H_scalar_t = 0.01245938918154819
Ra = 2.033333333333333 Za = 3.0 H_scalar_s = -0.030890752749154426
Ra = 2.033333333333333 Za = 3.0 H_scalar   = -0.01843136356760624
Ra = 2.033333333333333 Za = 3.0 H_phi_t = 0.4749727778408596
Ra = 2.033333333333333 Za = 3.0 H_phi_s = -0.2876228803794002
Ra = 2.033333333333333 Za = 3.0 H_phi   = 0.1873498974614594
Ra = 2.3555555555555556 Za = 3.0 rot_H_z = -0.14123879961966135
Ra = 2.3555555555555556 Za = 3.0 rot_H_r = -0.0996150139463331
Ra = 2.3555555555555556 Za = 3.0 H_scalar_t = -0.09263289950019483
Ra = 2.3555555555555556 Za = 3.0 H_scalar_s = 0.02275197238565596
Ra = 2.3555555555555556 Za = 3.0 H_scalar   = -0.06988092711453887
Ra = 2.3555555555555556 Za = 3.0 H_phi_t = 0.3198873085302579
Ra = 2.3555555555555556 Za = 3.0 H_phi_s = -0.20606965240496233
Ra = 2.3555555555555556 Za = 3.0 H_phi   = 0.11381765612529554
Ra = 2.6777777777777776 Za = 3.0 rot_H_z = -0.1061242594574005
Ra = 2.6777777777777776 Za = 3.0 rot_H_r = -0.09870511824011155
Ra = 2.6777777777777776 Za = 3.0 H_scalar_t = -0.1363272897300732
Ra = 2.6777777777777776 Za = 3.0 H_scalar_s = 0.04592620098206357
Ra = 2.6777777777777776 Za = 3.0 H_scalar   = -0.09040108874800962
Ra = 2.6777777777777776 Za = 3.0 H_phi_t = 0.2051354007187332
Ra = 2.6777777777777776 Za = 3.0 H_phi_s = -0.14222107135472406
Ra = 2.6777777777777776 Za = 3.0 H_phi   = 0.06291432936400915
Ra = 3.0 Za = 3.0 rot_H_z = -0.07737557017263386
Ra = 3.0 Za = 3.0 rot_H_r = -0.09054542959770362
Ra = 3.0 Za = 3.0 H_scalar_t = -0.1472615456317825
Ra = 3.0 Za = 3.0 H_scalar_s = 0.052415286029803276
Ra = 3.0 Za = 3.0 H_scalar   = -0.09484625960197923
Ra = 3.0 Za = 3.0 H_phi_t = 0.1244170720831013
Ra = 3.0 Za = 3.0 H_phi_s = -0.09597714842464367
Ra = 3.0 Za = 3.0 H_phi   = 0.028439923658457628

line_thick = 0.005
arr_l = 0.15
arr_h = 0.025
color = "red"

def matplotlib_draw_cylinder(plt, z0 = 0):
    plt.plot(z0 + Zj1,      Rj2                 , z0 + Zj2,Rj2, marker='.', color = color)
    plt.plot(z0 + Zj2,      Rj2                 , z0 + Zj2,Rj1, marker='.', color = color, linestyle="dashed")
    plt.plot(z0 + Zj2,      Rj1                 , z0 + Zj1,Rj1, marker='.', color = color)
    plt.plot(z0 + Zj1,      Rj1                 , z0 + Zj1,Rj2, marker='.', color = color, linestyle="dashed")

fig,ax=plt.subplots(1,1)
matplotlib_draw_cylinder(ax, z0 = 0)
cp = ax.contourf(za_grid,ra_grid, h)
fig.colorbar(cp) # Add a colorbar to a plot
ax.set_title('Filled Contours H_phi vector field Plot')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
plt.show()

from mpl_toolkits import mplot3d
import numpy as np
import matplotlib.pyplot as plt
fig = plt.figure()

ax = plt.axes(projection='3d')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
ax.plot_surface(za_grid,ra_grid, h, cmap='viridis', edgecolor='none')
ax.set_title('H phi field plot')
plt.show()

fig,ax=plt.subplots(1,1)
matplotlib_draw_cylinder(ax, z0 = 0)
cp = ax.contourf(za_grid,ra_grid, s)
fig.colorbar(cp) # Add a colorbar to a plot
ax.set_title('Filled Contours Scalar field Plot')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
plt.show()

fig,ax=plt.subplots(1,1)
matplotlib_draw_cylinder(ax, z0 = 0)
ax.quiver(za_grid,ra_grid,u,v)
ax.set_title('rot H field Plot')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
plt.show()

from mpl_toolkits import mplot3d
import numpy as np
import matplotlib.pyplot as plt
fig = plt.figure()

ax = plt.axes(projection='3d')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
ax.plot_surface(za_grid,ra_grid, s, cmap='viridis', edgecolor='none')
ax.set_title('Scalar field plot')
plt.show()

fig,ax=plt.subplots(1,1)
matplotlib_draw_cylinder(ax, z0 = 0)
cp = ax.contourf(za_grid,ra_grid, s_t)
fig.colorbar(cp) # Add a colorbar to a plot
ax.set_title('Filled Contours Scalar_t field Plot')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
plt.show()

fig,ax=plt.subplots(1,1)
matplotlib_draw_cylinder(ax, z0 = 0)
cp = ax.contourf(za_grid,ra_grid, s_s)
fig.colorbar(cp) # Add a colorbar to a plot
ax.set_title('Filled Contours Scalar_s field Plot')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
plt.show()

u_ex = u
v_ex = v
s_ex = s
h_ex = h

for iz in np.arange(0, len(za_linspace), 1):
    for ir in np.arange(0, len(ra_linspace), 1):
        Za = za_list[iz]
        Ra = ra_list[ir]
        if Za >= Zj1 and Za <= Zj2 and Ra >= Rj1 and Ra <= Rj2:
            u_ex[ir][iz] = np.nan
            v_ex[ir][iz] = np.nan
            s_ex[ir][iz] = np.nan
            h_ex[ir][iz] = np.nan

fig,ax=plt.subplots(1,1)
matplotlib_draw_cylinder(ax, z0 = 0)
cp = ax.contourf(za_grid,ra_grid, h_ex)
fig.colorbar(cp) # Add a colorbar to a plot
ax.set_title('Filled Contours H_phi vector field Plot')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
plt.show()

from mpl_toolkits import mplot3d
import numpy as np
import matplotlib.pyplot as plt
fig = plt.figure()

ax = plt.axes(projection='3d')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
ax.plot_surface(za_grid,ra_grid, h_ex, cmap='viridis', edgecolor='none')
ax.set_title('H phi field plot')
plt.show()

/usr3/articles/sagemath_docker_build/sage-9.1/local/lib/python3.7/site-packages/matplotlib/colors.py:507: RuntimeWarning: invalid value encountered in less
  xa[xa < 0] = -1

fig,ax=plt.subplots(1,1)
matplotlib_draw_cylinder(ax, z0 = 0)
cp = ax.contourf(za_grid,ra_grid, s_ex)
fig.colorbar(cp) # Add a colorbar to a plot
ax.set_title('Filled Contours Scalar field Plot')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
plt.show()

fig,ax=plt.subplots(1,1)
matplotlib_draw_cylinder(ax, z0 = 0)
ax.quiver(za_grid,ra_grid,u_ex,v_ex)
ax.set_title('rot H field Plot')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
plt.show()

from mpl_toolkits import mplot3d
import numpy as np
import matplotlib.pyplot as plt
fig = plt.figure()

ax = plt.axes(projection='3d')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
ax.plot_surface(za_grid,ra_grid, s_ex, cmap='viridis', edgecolor='none')
ax.set_title('Scalar field plot')
plt.show()

/usr3/articles/sagemath_docker_build/sage-9.1/local/lib/python3.7/site-packages/matplotlib/colors.py:507: RuntimeWarning: invalid value encountered in less
  xa[xa < 0] = -1

u_norm = u
v_norm = v

for iz in np.arange(0, len(za_linspace), 1):
    for ir in np.arange(0, len(ra_linspace), 1):
        n = sqrt(u[ir][iz]^2 + v[ir][iz]^2)
        u_norm[ir][iz] = u[ir][iz] / n
        v_norm[ir][iz] = v[ir][iz] / n

fig,ax=plt.subplots(1,1)
matplotlib_draw_cylinder(ax, z0 = 0)
ax.quiver(za_grid,ra_grid,u_norm,v_norm)
ax.set_title('rot H normalized field Plot')
ax.set_xlabel('z (cm)')
ax.set_ylabel('r (cm)')
plt.show()