Solve[a^2 == 3.0333 + 0.04154/(p^2 - 0.04547) - 0.01408*p^2 &&
b^2 == 3.0333 + 0.04154/(i^2 - 0.04547) - 0.01408*i^2 &&
c^2 == 3.0065 + 0.03901/(s^2 - 0.04251) - 0.01327*s^2 &&
d^2 == 3.3134 + 0.05694/(s^2 - 0.05658) - 0.01682*s^2 &&
e^2 == (d*c)^2/(c^2*(sin (1.012))^2 + d^2*(cos (1.012)^2)) &&
1/i + 1/s == 1/p && b/i + e/s == a/p && p == 0.5327, {i, s}]
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ClearAll["Global`*"]NSolve[
{
a^2 == 3.0333 + 0.04154/(p^2 - 0.04547) - 0.01408*p^2,
b^2 == 3.0333 + 0.04154/(i^2 - 0.04547) - 0.01408*i^2,
c^2 == 3.0065 + 0.03901/(s^2 - 0.04251) - 0.01327*s^2,
d^2 == 3.3134 + 0.05694/(s^2 - 0.05658) - 0.01682*s^2,
e^2 == (d*c)^2/(c^2*(Sin [1.012])^2 + d^2*(Cos [1.012]^2)),
1/i + 1/s == 1/p,
b/i + e/s == a/p,
p == 0.5327
},
{a, b, c, d, e, p, i, s}]
{{p -> 0.5327, a -> -1.78987, b -> 1.78571, e -> -97.0406,
i -> 0.552697, c -> -0.360578, d -> 0. - 0.576687 I,
s -> 14.7234}, {p -> 0.5327, a -> -1.78987, b -> 1.78571,
e -> -97.0406, i -> 0.552697, c -> 0.360578, d -> 0. + 0.576687 I,
s -> 14.7234}, {p -> 0.5327, a -> -1.78987, b -> 1.78571,
e -> -97.0406, i -> 0.552697, c -> 0.360578, d -> 0. - 0.576687 I,
s -> 14.7234}, {p -> 0.5327, a -> -1.78987, b -> 1.78571,
e -> -97.0406, i -> 0.552697, c -> -0.360578, d -> 0. + 0.576687 I,
s -> 14.7234}, {p -> 0.5327, a -> -1.78987, b -> 1.45562,
e -> 1.49678, i -> 0.00667142, c -> 1.44494, d -> -1.51863,
s -> -0.00675603}, {p -> 0.5327, a -> -1.78987, b -> 1.45562,
e -> 1.49678, i -> 0.00667142, c -> 1.44494, d -> 1.51863,
s -> -0.00675603}, {p -> 0.5327, a -> -1.78987, b -> 1.45562,
e -> 1.49678, i -> 0.00667142, c -> -1.44494, d -> 1.51863,
s -> -0.00675603}, {p -> 0.5327, a -> -1.78987, b -> 1.45562,
e -> 1.49678, i -> 0.00667142, c -> -1.44494, d -> -1.51863,
s -> -0.00675603}, {p -> 0.5327, a -> -1.78987, b -> 1.9696,
e -> 0.59398, i -> -0.307399, c -> 0. - 2.373 I, d -> 0.499255,
s -> 0.194919}, {p -> 0.5327, a -> -1.78987, b -> 1.9696,
e -> 0.59398, i -> -0.307399, c -> 0. + 2.373 I, d -> -0.499255,
s -> 0.194919}, {p -> 0.5327, a -> -1.78987, b -> 1.9696,
e -> 0.59398, i -> -0.307399, c -> 0. - 2.373 I, d -> -0.499255,
s -> 0.194919}, {p -> 0.5327, a -> -1.78987, b -> 1.9696,
e -> 0.59398, i -> -0.307399, c -> 0. + 2.373 I, d -> 0.499255,
s -> 0.194919}, {p -> 0.5327, a -> -1.78987, b -> -1.2027,
e -> -0.995635, i -> 0.138879, c -> 0. - 1.548 I, d -> -0.799018,
s -> -0.187854}, {p -> 0.5327, a -> -1.78987, b -> -1.2027,
e -> -0.995635, i -> 0.138879, c -> 0. - 1.548 I, d -> 0.799018,
s -> -0.187854}, {p -> 0.5327, a -> -1.78987, b -> -1.2027,
e -> -0.995635, i -> 0.138879, c -> 0. + 1.548 I, d -> 0.799018,
s -> -0.187854}, {p -> 0.5327, a -> -1.78987, b -> -1.2027,
e -> -0.995635, i -> 0.138879, c -> 0. + 1.548 I, d -> -0.799018,
s -> -0.187854}, {p -> 0.5327, a -> -1.78987, b -> -2.14996,
e -> -2.02956, i -> -0.267573, c -> 0. - 0.781211 I, d -> -1.01102,
s -> 0.178109}, {p -> 0.5327, a -> -1.78987, b -> -2.14996,
e -> -2.02956, i -> -0.267573, c -> 0. + 0.781211 I, d -> 1.01102,
s -> 0.178109}, {p -> 0.5327, a -> -1.78987, b -> -2.14996,
e -> -2.02956, i -> -0.267573, c -> 0. - 0.781211 I, d -> 1.01102,
s -> 0.178109}, {p -> 0.5327, a -> -1.78987, b -> -2.14996,
e -> -2.02956, i -> -0.267573, c -> 0. + 0.781211 I, d -> -1.01102,
s -> 0.178109}, {p -> 0.5327, a -> -1.78987, b -> 1.23853,
e -> 2.24892, i -> 0.133266, c -> 0. - 0.75191 I, d -> -1.01716,
s -> -0.177728}, {p -> 0.5327, a -> -1.78987, b -> 1.23853,
e -> 2.24892, i -> 0.133266, c -> 0. + 0.75191 I, d -> 1.01716,
s -> -0.177728}, {p -> 0.5327, a -> -1.78987, b -> 1.23853,
e -> 2.24892, i -> 0.133266, c -> 0. - 0.75191 I, d -> 1.01716,
s -> -0.177728}, {p -> 0.5327, a -> -1.78987, b -> 1.23853,
e -> 2.24892, i -> 0.133266, c -> 0. + 0.75191 I, d -> -1.01716,
s -> -0.177728}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 + 0.276542 I, e -> 1.01046 + 0.249677 I,
i -> -0.2447 + 0.016707 I, c -> -0.706782 - 0.339027 I,
d -> -1.15591 - 0.0793271 I,
s -> 0.167845 - 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 + 0.276542 I, e -> 1.01046 + 0.249677 I,
i -> -0.2447 + 0.016707 I, c -> 0.706782 + 0.339027 I,
d -> 1.15591 + 0.0793271 I,
s -> 0.167845 - 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 - 0.276542 I, e -> 1.01046 - 0.249677 I,
i -> -0.2447 - 0.016707 I, c -> -0.706782 + 0.339027 I,
d -> -1.15591 + 0.0793271 I,
s -> 0.167845 + 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 + 0.276542 I, e -> 1.01046 + 0.249677 I,
i -> -0.2447 + 0.016707 I, c -> -0.706782 - 0.339027 I,
d -> 1.15591 + 0.0793271 I,
s -> 0.167845 - 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 - 0.276542 I, e -> 1.01046 - 0.249677 I,
i -> -0.2447 - 0.016707 I, c -> 0.706782 - 0.339027 I,
d -> 1.15591 - 0.0793271 I,
s -> 0.167845 + 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 - 0.276542 I, e -> 1.01046 - 0.249677 I,
i -> -0.2447 - 0.016707 I, c -> 0.706782 - 0.339027 I,
d -> -1.15591 + 0.0793271 I,
s -> 0.167845 + 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 + 0.276542 I, e -> 1.01046 + 0.249677 I,
i -> -0.2447 + 0.016707 I, c -> 0.706782 + 0.339027 I,
d -> -1.15591 - 0.0793271 I,
s -> 0.167845 - 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 + 0.276542 I, e -> 1.01046 + 0.249677 I,
i -> -0.2447 + 0.016707 I, c -> 0.706782 + 0.339027 I,
d -> 1.15591 + 0.0793271 I,
s -> 0.167845 - 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 - 0.276542 I, e -> 1.01046 - 0.249677 I,
i -> -0.2447 - 0.016707 I, c -> -0.706782 + 0.339027 I,
d -> 1.15591 - 0.0793271 I,
s -> 0.167845 + 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 + 0.276542 I, e -> 1.01046 + 0.249677 I,
i -> -0.2447 + 0.016707 I, c -> -0.706782 - 0.339027 I,
d -> -1.15591 - 0.0793271 I,
s -> 0.167845 - 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 + 0.276542 I, e -> 1.01046 + 0.249677 I,
i -> -0.2447 + 0.016707 I, c -> -0.706782 - 0.339027 I,
d -> 1.15591 + 0.0793271 I,
s -> 0.167845 - 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> 2.30465 + 0.276542 I, e -> 1.01046 + 0.249677 I,
i -> -0.2447 + 0.016707 I, c -> 0.706782 + 0.339027 I,
d -> -1.15591 - 0.0793271 I,
s -> 0.167845 - 0.00784102 I}, {p -> 0.5327, a -> -1.78987,
b -> -1.79426, e -> -1.91598, i -> 0.514132, c -> -0.345755,
d -> 0. - 0.588081 I, s -> -14.7502}, {p -> 0.5327, a -> -1.78987,
b -> -1.79426, e -> -1.91598, i -> 0.514132, c -> 0.345755,
d -> 0. + 0.588081 I, s -> -14.7502}, {p -> 0.5327, a -> -1.78987,
b -> -1.79426, e -> -1.91598, i -> 0.514132, c -> -0.345755,
d -> 0. + 0.588081 I, s -> -14.7502}, {p -> 0.5327, a -> -1.78987,
b -> -1.79426, e -> -1.91598, i -> 0.514132, c -> 0.345755,
d -> 0. - 0.588081 I, s -> -14.7502}, {p -> 0.5327, a -> -1.78987,
b -> -1.79426, e -> -1.91598, i -> 0.514132, c -> -0.345755,
d -> 0. - 0.588081 I, s -> -14.7502}, {p -> 0.5327, a -> -1.78987,
b -> -1.79426, e -> -1.91598, i -> 0.514132, c -> -0.345755,
d -> 0. + 0.588081 I, s -> -14.7502}, {p -> 0.5327, a -> -1.78987,
b -> -1.79426, e -> -1.91598, i -> 0.514132, c -> 0.345755,
d -> 0. + 0.588081 I, s -> -14.7502}, {p -> 0.5327, a -> -1.78987,
b -> -1.79426, e -> -1.91598, i -> 0.514132, c -> 0.345755,
d -> 0. - 0.588081 I, s -> -14.7502}, {p -> 0.5327, a -> -1.78987,
b -> -1.78572, e -> -1.90057, i -> 0.552659, c -> -0.34552,
d -> 0. + 0.588256 I, s -> 14.7506}, {p -> 0.5327, a -> -1.78987,
b -> -1.78572, e -> -1.90057, i -> 0.552659, c -> 0.34552,
d -> 0. - 0.588256 I, s -> 14.7506}, {p -> 0.5327, a -> -1.78987,
b -> -1.78572, e -> -1.90057, i -> 0.552659, c -> 0.34552,
d -> 0. + 0.588256 I, s -> 14.7506}, {p -> 0.5327, a -> -1.78987,
b -> -1.78572, e -> -1.90057, i -> 0.552659, c -> -0.34552,
d -> 0. - 0.588256 I, s -> 14.7506}, {p -> 0.5327, a -> -1.78987,
b -> 0.896889 - 0.433071 I, e -> 2.21378 - 0.481284 I,
i -> 0.173481 + 0.0144395 I, c -> -2.04849 + 0.206641 I,
d -> 2.25631 - 0.627208 I,
s -> -0.255987 - 0.0317028 I}, {p -> 0.5327, a -> -1.78987,
b -> 0.896889 - 0.433071 I, e -> 2.21378 - 0.481284 I,
i -> 0.173481 + 0.0144395 I, c -> 2.04849 - 0.206641 I,
d -> -2.25631 + 0.627208 I,
s -> -0.255987 - 0.0317028 I}, {p -> 0.5327, a -> -1.78987,
b -> 0.896889 - 0.433071 I, e -> 2.21378 - 0.481284 I,
i -> 0.173481 + 0.0144395 I, c -> -2.04849 + 0.206641 I,
d -> -2.25631 + 0.627208 I,
s -> -0.255987 - 0.0317028 I}, {p -> 0.5327, a -> -1.78987,
b -> 0.896889 - 0.433071 I, e -> 2.21378 - 0.481284 I,
i -> 0.173481 + 0.0144395 I, c -> 2.04849 - 0.206641 I,
d -> 2.25631 - 0.627208 I,
s -> -0.255987 - 0.0317028 I}, {p -> 0.5327, a -> -1.78987,
b -> -1.30912, e -> -1.17195, i -> 0.118253, c -> 0.998089,
d -> -1.26972, s -> -0.151994}, {p -> 0.5327, a -> -1.78987,
b -> -1.30912, e -> -1.17195, i -> 0.118253, c -> -0.998089,
d -> -1.26972, s -> -0.151994}, {p -> 0.5327, a -> -1.78987,
b -> -1.30912, e -> -1.17195, i -> 0.118253, c -> -0.998089,
d -> 1.26972, s -> -0.151994}, {p -> 0.5327, a -> -1.78987,
b -> -1.30912, e -> -1.17195, i -> 0.118253, c -> 0.998089,
d -> 1.26972, s -> -0.151994}, {p -> 0.5327, a -> -1.78987,
b -> -1.40942 + 0.0521572 I, e -> -1.46156 + 0.0283248 I,
i -> -0.0872827 - 0.0311393 I, c -> 1.40327 - 0.0347175 I,
d -> -1.48637 + 0.0253123 I,
s -> 0.0761466 + 0.0229309 I}, {p -> 0.5327, a -> -1.78987,
b -> -1.40942 + 0.0521572 I, e -> -1.46156 + 0.0283248 I,
i -> -0.0872827 - 0.0311393 I, c -> -1.40327 + 0.0347175 I,
d -> 1.48637 - 0.0253123 I,
s -> 0.0761466 + 0.0229309 I}, {p -> 0.5327, a -> -1.78987,
b -> -1.40942 - 0.0521572 I, e -> -1.46156 - 0.0283248 I,
i -> -0.0872827 + 0.0311393 I, c -> 1.40327 + 0.0347175 I,
d -> 1.48637 + 0.0253123 I,
s -> 0.0761466 - 0.0229309 I}, {p -> 0.5327, a -> -1.78987,
b -> -1.40942 + 0.0521572 I, e -> -1.46156 + 0.0283248 I,
i -> -0.0872827 - 0.0311393 I, c -> -1.40327 + 0.0347175 I,
d -> -1.48637 + 0.0253123 I,
s -> 0.0761466 + 0.0229309 I}, {p -> 0.5327, a -> -1.78987,
b -> -1.40942 + 0.0521572 I, e -> -1.46156 + 0.0283248 I,
i -> -0.0872827 - 0.03
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