Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,10,Mod(16,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.16");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.h (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(46.8682610909\) |
Analytic rank: | \(0\) |
Dimension: | \(164\) |
Relative dimension: | \(82\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 16.10 | ||
Character | \(\chi\) | \(=\) | 91.16 |
Dual form | 91.10.h.a.74.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −36.4163 | −1.60939 | −0.804694 | − | 0.593690i | \(-0.797670\pi\) | ||||
−0.804694 | + | 0.593690i | \(0.797670\pi\) | |||||||
\(3\) | −91.6449 | + | 158.734i | −0.653225 | + | 1.13142i | 0.329111 | + | 0.944291i | \(0.393251\pi\) |
−0.982336 | + | 0.187127i | \(0.940082\pi\) | |||||||
\(4\) | 814.145 | 1.59013 | ||||||||
\(5\) | 939.046 | − | 1626.48i | 0.671927 | − | 1.16381i | −0.305430 | − | 0.952214i | \(-0.598800\pi\) |
0.977357 | − | 0.211597i | \(-0.0678664\pi\) | |||||||
\(6\) | 3337.36 | − | 5780.49i | 1.05129 | − | 1.82089i | ||||
\(7\) | 6277.96 | + | 969.960i | 0.988274 | + | 0.152691i | ||||
\(8\) | −11003.0 | −0.949743 | ||||||||
\(9\) | −6956.07 | − | 12048.3i | −0.353405 | − | 0.612115i | ||||
\(10\) | −34196.6 | + | 59230.2i | −1.08139 | + | 1.87302i | ||||
\(11\) | −37266.1 | + | 64546.8i | −0.767445 | + | 1.32925i | 0.171500 | + | 0.985184i | \(0.445139\pi\) |
−0.938944 | + | 0.344069i | \(0.888195\pi\) | |||||||
\(12\) | −74612.2 | + | 129232.i | −1.03871 | + | 1.79910i | ||||
\(13\) | 91879.7 | + | 46503.9i | 0.892226 | + | 0.451590i | ||||
\(14\) | −228620. | − | 35322.3i | −1.59052 | − | 0.245738i | ||||
\(15\) | 172118. | + | 298116.i | 0.877838 | + | 1.52046i | ||||
\(16\) | −16154.2 | −0.0616235 | ||||||||
\(17\) | 173176. | 0.502885 | 0.251443 | − | 0.967872i | \(-0.419095\pi\) | ||||
0.251443 | + | 0.967872i | \(0.419095\pi\) | |||||||
\(18\) | 253314. | + | 438753.i | 0.568765 | + | 0.985130i | ||||
\(19\) | −271004. | − | 469393.i | −0.477073 | − | 0.826314i | 0.522582 | − | 0.852589i | \(-0.324969\pi\) |
−0.999655 | + | 0.0262749i | \(0.991635\pi\) | |||||||
\(20\) | 764520. | − | 1.32419e6i | 1.06845 | − | 1.85061i | ||||
\(21\) | −729308. | + | 907631.i | −0.818322 | + | 1.01841i | ||||
\(22\) | 1.35709e6 | − | 2.35055e6i | 1.23512 | − | 2.13928i | ||||
\(23\) | 2.36268e6 | 1.76047 | 0.880237 | − | 0.474534i | \(-0.157383\pi\) | ||||
0.880237 | + | 0.474534i | \(0.157383\pi\) | |||||||
\(24\) | 1.00837e6 | − | 1.74654e6i | 0.620395 | − | 1.07456i | ||||
\(25\) | −787053. | − | 1.36322e6i | −0.402971 | − | 0.697967i | ||||
\(26\) | −3.34592e6 | − | 1.69350e6i | −1.43594 | − | 0.726783i | ||||
\(27\) | −1.05774e6 | −0.383038 | ||||||||
\(28\) | 5.11117e6 | + | 789688.i | 1.57148 | + | 0.242798i | ||||
\(29\) | 226914. | + | 393027.i | 0.0595760 | + | 0.103189i | 0.894275 | − | 0.447518i | \(-0.147692\pi\) |
−0.834699 | + | 0.550706i | \(0.814358\pi\) | |||||||
\(30\) | −6.26788e6 | − | 1.08563e7i | −1.41278 | − | 2.44701i | ||||
\(31\) | 3.99021e6 | + | 6.91125e6i | 0.776012 | + | 1.34409i | 0.934224 | + | 0.356687i | \(0.116094\pi\) |
−0.158212 | + | 0.987405i | \(0.550573\pi\) | |||||||
\(32\) | 6.22181e6 | 1.04892 | ||||||||
\(33\) | −6.83050e6 | − | 1.18308e7i | −1.00263 | − | 1.73660i | ||||
\(34\) | −6.30644e6 | −0.809337 | ||||||||
\(35\) | 7.47291e6 | − | 9.30011e6i | 0.841751 | − | 1.04757i | ||||
\(36\) | −5.66325e6 | − | 9.80903e6i | −0.561959 | − | 0.973341i | ||||
\(37\) | −1.72586e6 | −0.151390 | −0.0756950 | − | 0.997131i | \(-0.524118\pi\) | ||||
−0.0756950 | + | 0.997131i | \(0.524118\pi\) | |||||||
\(38\) | 9.86896e6 | + | 1.70935e7i | 0.767795 | + | 1.32986i | ||||
\(39\) | −1.58020e7 | + | 1.03226e7i | −1.09376 | + | 0.714491i | ||||
\(40\) | −1.03323e7 | + | 1.78961e7i | −0.638157 | + | 1.10532i | ||||
\(41\) | −1.46523e7 | − | 2.53786e7i | −0.809804 | − | 1.40262i | −0.913000 | − | 0.407960i | \(-0.866240\pi\) |
0.103196 | − | 0.994661i | \(-0.467093\pi\) | |||||||
\(42\) | 2.65587e7 | − | 3.30525e7i | 1.31700 | − | 1.63902i | ||||
\(43\) | 6.57912e6 | − | 1.13954e7i | 0.293467 | − | 0.508300i | −0.681160 | − | 0.732135i | \(-0.738524\pi\) |
0.974627 | + | 0.223834i | \(0.0718575\pi\) | |||||||
\(44\) | −3.03400e7 | + | 5.25505e7i | −1.22033 | + | 2.11368i | ||||
\(45\) | −2.61283e7 | −0.949849 | ||||||||
\(46\) | −8.60400e7 | −2.83328 | ||||||||
\(47\) | 1.46939e7 | − | 2.54506e7i | 0.439235 | − | 0.760777i | −0.558396 | − | 0.829575i | \(-0.688583\pi\) |
0.997631 | + | 0.0687975i | \(0.0219162\pi\) | |||||||
\(48\) | 1.48045e6 | − | 2.56422e6i | 0.0402540 | − | 0.0697219i | ||||
\(49\) | 3.84720e7 | + | 1.21787e7i | 0.953371 | + | 0.301800i | ||||
\(50\) | 2.86616e7 | + | 4.96433e7i | 0.648537 | + | 1.12330i | ||||
\(51\) | −1.58707e7 | + | 2.74889e7i | −0.328497 | + | 0.568973i | ||||
\(52\) | 7.48034e7 | + | 3.78609e7i | 1.41875 | + | 0.718085i | ||||
\(53\) | −7.12402e6 | − | 1.23392e7i | −0.124018 | − | 0.214805i | 0.797331 | − | 0.603542i | \(-0.206245\pi\) |
−0.921349 | + | 0.388738i | \(0.872911\pi\) | |||||||
\(54\) | 3.85190e7 | 0.616457 | ||||||||
\(55\) | 6.99892e7 | + | 1.21225e8i | 1.03133 | + | 1.78632i | ||||
\(56\) | −6.90764e7 | − | 1.06725e7i | −0.938606 | − | 0.145017i | ||||
\(57\) | 9.93445e7 | 1.24654 | ||||||||
\(58\) | −8.26338e6 | − | 1.43126e7i | −0.0958808 | − | 0.166070i | ||||
\(59\) | 1.63741e7 | 0.175923 | 0.0879617 | − | 0.996124i | \(-0.471965\pi\) | ||||
0.0879617 | + | 0.996124i | \(0.471965\pi\) | |||||||
\(60\) | 1.40129e8 | + | 2.42710e8i | 1.39587 | + | 2.41773i | ||||
\(61\) | 7.82834e7 | + | 1.35591e8i | 0.723912 | + | 1.25385i | 0.959420 | + | 0.281980i | \(0.0909911\pi\) |
−0.235509 | + | 0.971872i | \(0.575676\pi\) | |||||||
\(62\) | −1.45309e8 | − | 2.51682e8i | −1.24890 | − | 2.16316i | ||||
\(63\) | −3.19836e7 | − | 8.23856e7i | −0.255797 | − | 0.658899i | ||||
\(64\) | −2.18304e8 | −1.62649 | ||||||||
\(65\) | 1.61917e8 | − | 1.05771e8i | 1.12508 | − | 0.734947i | ||||
\(66\) | 2.48741e8 | + | 4.30833e8i | 1.61362 | + | 2.79487i | ||||
\(67\) | −7.81745e7 | + | 1.35402e8i | −0.473945 | + | 0.820898i | −0.999555 | − | 0.0298283i | \(-0.990504\pi\) |
0.525610 | + | 0.850726i | \(0.323837\pi\) | |||||||
\(68\) | 1.40991e8 | 0.799651 | ||||||||
\(69\) | −2.16528e8 | + | 3.75037e8i | −1.14999 | + | 1.99183i | ||||
\(70\) | −2.72136e8 | + | 3.38675e8i | −1.35470 | + | 1.68594i | ||||
\(71\) | 1.69211e8 | − | 2.93083e8i | 0.790254 | − | 1.36876i | −0.135555 | − | 0.990770i | \(-0.543282\pi\) |
0.925809 | − | 0.377991i | \(-0.123385\pi\) | |||||||
\(72\) | 7.65376e7 | + | 1.32567e8i | 0.335644 | + | 0.581352i | ||||
\(73\) | −1.13252e8 | − | 1.96158e8i | −0.466758 | − | 0.808449i | 0.532521 | − | 0.846417i | \(-0.321245\pi\) |
−0.999279 | + | 0.0379680i | \(0.987911\pi\) | |||||||
\(74\) | 6.28493e7 | 0.243645 | ||||||||
\(75\) | 2.88518e8 | 1.05292 | ||||||||
\(76\) | −2.20637e8 | − | 3.82154e8i | −0.758606 | − | 1.31394i | ||||
\(77\) | −2.96563e8 | + | 3.69076e8i | −0.961410 | + | 1.19648i | ||||
\(78\) | 5.75451e8 | − | 3.75909e8i | 1.76028 | − | 1.14989i | ||||
\(79\) | 9.58541e7 | − | 1.66024e8i | 0.276878 | − | 0.479567i | −0.693729 | − | 0.720236i | \(-0.744033\pi\) |
0.970607 | + | 0.240669i | \(0.0773668\pi\) | |||||||
\(80\) | −1.51696e7 | + | 2.62745e7i | −0.0414065 | + | 0.0717181i | ||||
\(81\) | 2.33853e8 | − | 4.05045e8i | 0.603615 | − | 1.04549i | ||||
\(82\) | 5.33584e8 | + | 9.24194e8i | 1.30329 | + | 2.25736i | ||||
\(83\) | −4.78611e8 | −1.10696 | −0.553479 | − | 0.832863i | \(-0.686700\pi\) | ||||
−0.553479 | + | 0.832863i | \(0.686700\pi\) | |||||||
\(84\) | −5.93763e8 | + | 7.38943e8i | −1.30124 | + | 1.61940i | ||||
\(85\) | 1.62621e8 | − | 2.81667e8i | 0.337902 | − | 0.585263i | ||||
\(86\) | −2.39587e8 | + | 4.14977e8i | −0.472302 | + | 0.818052i | ||||
\(87\) | −8.31822e7 | −0.155666 | ||||||||
\(88\) | 4.10039e8 | − | 7.10208e8i | 0.728875 | − | 1.26245i | ||||
\(89\) | 4.01254e8 | 0.677898 | 0.338949 | − | 0.940805i | \(-0.389929\pi\) | ||||
0.338949 | + | 0.940805i | \(0.389929\pi\) | |||||||
\(90\) | 9.51495e8 | 1.52867 | ||||||||
\(91\) | 5.31711e8 | + | 3.81069e8i | 0.812810 | + | 0.582529i | ||||
\(92\) | 1.92356e9 | 2.79938 | ||||||||
\(93\) | −1.46273e9 | −2.02764 | ||||||||
\(94\) | −5.35097e8 | + | 9.26816e8i | −0.706899 | + | 1.22439i | ||||
\(95\) | −1.01794e9 | −1.28223 | ||||||||
\(96\) | −5.70197e8 | + | 9.87610e8i | −0.685179 | + | 1.18677i | ||||
\(97\) | −5.66288e8 | + | 9.80839e8i | −0.649478 | + | 1.12493i | 0.333770 | + | 0.942655i | \(0.391679\pi\) |
−0.983248 | + | 0.182274i | \(0.941654\pi\) | |||||||
\(98\) | −1.40101e9 | − | 4.43504e8i | −1.53434 | − | 0.485714i | ||||
\(99\) | 1.03690e9 | 1.08487 | ||||||||
\(100\) | −6.40776e8 | − | 1.10986e9i | −0.640776 | − | 1.10986i | ||||
\(101\) | −6.77571e8 | + | 1.17359e9i | −0.647901 | + | 1.12220i | 0.335723 | + | 0.941961i | \(0.391020\pi\) |
−0.983623 | + | 0.180236i | \(0.942314\pi\) | |||||||
\(102\) | 5.77953e8 | − | 1.00104e9i | 0.528679 | − | 0.915698i | ||||
\(103\) | 1.72261e8 | − | 2.98364e8i | 0.150806 | − | 0.261204i | −0.780718 | − | 0.624884i | \(-0.785146\pi\) |
0.931524 | + | 0.363680i | \(0.118480\pi\) | |||||||
\(104\) | −1.01095e9 | − | 5.11682e8i | −0.847385 | − | 0.428894i | ||||
\(105\) | 7.91386e8 | + | 2.03851e9i | 0.635385 | + | 1.63667i | ||||
\(106\) | 2.59430e8 | + | 4.49346e8i | 0.199592 | + | 0.345704i | ||||
\(107\) | 2.26466e9 | 1.67023 | 0.835113 | − | 0.550079i | \(-0.185402\pi\) | ||||
0.835113 | + | 0.550079i | \(0.185402\pi\) | |||||||
\(108\) | −8.61154e8 | −0.609079 | ||||||||
\(109\) | −5.38433e7 | − | 9.32593e7i | −0.0365353 | − | 0.0632809i | 0.847180 | − | 0.531307i | \(-0.178299\pi\) |
−0.883715 | + | 0.468026i | \(0.844965\pi\) | |||||||
\(110\) | −2.54875e9 | − | 4.41456e9i | −1.65981 | − | 2.87488i | ||||
\(111\) | 1.58166e8 | − | 2.73952e8i | 0.0988917 | − | 0.171285i | ||||
\(112\) | −1.01416e8 | − | 1.56689e7i | −0.0609009 | − | 0.00940933i | ||||
\(113\) | −4.08937e8 | + | 7.08299e8i | −0.235941 | + | 0.408661i | −0.959546 | − | 0.281553i | \(-0.909150\pi\) |
0.723605 | + | 0.690214i | \(0.242484\pi\) | |||||||
\(114\) | −3.61776e9 | −2.00617 | ||||||||
\(115\) | 2.21867e9 | − | 3.84284e9i | 1.18291 | − | 2.04886i | ||||
\(116\) | 1.84741e8 | + | 3.19981e8i | 0.0947333 | + | 0.164083i | ||||
\(117\) | −7.88308e7 | − | 1.43048e9i | −0.0388919 | − | 0.705739i | ||||
\(118\) | −5.96284e8 | −0.283129 | ||||||||
\(119\) | 1.08720e9 | + | 1.67974e8i | 0.496988 | + | 0.0767859i | ||||
\(120\) | −1.89381e9 | − | 3.28017e9i | −0.833720 | − | 1.44405i | ||||
\(121\) | −1.59855e9 | − | 2.76878e9i | −0.677943 | − | 1.17423i | ||||
\(122\) | −2.85079e9 | − | 4.93771e9i | −1.16505 | − | 2.01793i | ||||
\(123\) | 5.37125e9 | 2.11593 | ||||||||
\(124\) | 3.24861e9 | + | 5.62676e9i | 1.23396 | + | 2.13728i | ||||
\(125\) | 7.11831e8 | 0.260785 | ||||||||
\(126\) | 1.16472e9 | + | 3.00018e9i | 0.411676 | + | 1.06042i | ||||
\(127\) | 1.03575e9 | + | 1.79397e9i | 0.353295 | + | 0.611924i | 0.986825 | − | 0.161794i | \(-0.0517280\pi\) |
−0.633530 | + | 0.773718i | \(0.718395\pi\) | |||||||
\(128\) | 4.76426e9 | 1.56874 | ||||||||
\(129\) | 1.20588e9 | + | 2.08865e9i | 0.383400 | + | 0.664068i | ||||
\(130\) | −5.89641e9 | + | 3.85178e9i | −1.81068 | + | 1.18281i | ||||
\(131\) | 1.37641e9 | − | 2.38402e9i | 0.408346 | − | 0.707276i | −0.586359 | − | 0.810052i | \(-0.699439\pi\) |
0.994705 | + | 0.102776i | \(0.0327724\pi\) | |||||||
\(132\) | −5.56102e9 | − | 9.63196e9i | −1.59431 | − | 2.76142i | ||||
\(133\) | −1.24606e9 | − | 3.20969e9i | −0.345308 | − | 0.889469i | ||||
\(134\) | 2.84682e9 | − | 4.93084e9i | 0.762762 | − | 1.32114i | ||||
\(135\) | −9.93267e8 | + | 1.72039e9i | −0.257374 | + | 0.445784i | ||||
\(136\) | −1.90546e9 | −0.477611 | ||||||||
\(137\) | −4.32934e8 | −0.104998 | −0.0524988 | − | 0.998621i | \(-0.516719\pi\) | ||||
−0.0524988 | + | 0.998621i | \(0.516719\pi\) | |||||||
\(138\) | 7.88513e9 | − | 1.36574e10i | 1.85077 | − | 3.20563i | ||||
\(139\) | −2.71127e9 | + | 4.69605e9i | −0.616035 | + | 1.06700i | 0.374167 | + | 0.927361i | \(0.377929\pi\) |
−0.990202 | + | 0.139643i | \(0.955405\pi\) | |||||||
\(140\) | 6.08403e9 | − | 7.57164e9i | 1.33849 | − | 1.66577i | ||||
\(141\) | 2.69324e9 | + | 4.66483e9i | 0.573838 | + | 0.993917i | ||||
\(142\) | −6.16205e9 | + | 1.06730e10i | −1.27183 | + | 2.20287i | ||||
\(143\) | −6.42568e9 | + | 4.19753e9i | −1.28501 | + | 0.839424i | ||||
\(144\) | 1.12370e8 | + | 1.94630e8i | 0.0217780 | + | 0.0377207i | ||||
\(145\) | 8.52333e8 | 0.160123 | ||||||||
\(146\) | 4.12421e9 | + | 7.14333e9i | 0.751195 | + | 1.30111i | ||||
\(147\) | −5.45893e9 | + | 4.99067e9i | −0.964228 | + | 0.881518i | ||||
\(148\) | −1.40510e9 | −0.240729 | ||||||||
\(149\) | −2.32467e9 | − | 4.02645e9i | −0.386387 | − | 0.669243i | 0.605573 | − | 0.795790i | \(-0.292944\pi\) |
−0.991961 | + | 0.126547i | \(0.959611\pi\) | |||||||
\(150\) | −1.05067e10 | −1.69456 | ||||||||
\(151\) | 8.24792e8 | + | 1.42858e9i | 0.129107 | + | 0.223619i | 0.923331 | − | 0.384006i | \(-0.125456\pi\) |
−0.794224 | + | 0.607625i | \(0.792122\pi\) | |||||||
\(152\) | 2.98186e9 | + | 5.16472e9i | 0.453096 | + | 0.784786i | ||||
\(153\) | −1.20463e9 | − | 2.08648e9i | −0.177722 | − | 0.307824i | ||||
\(154\) | 1.07997e10 | − | 1.34404e10i | 1.54728 | − | 1.92561i | ||||
\(155\) | 1.49880e10 | 2.08569 | ||||||||
\(156\) | −1.28651e10 | + | 8.40406e9i | −1.73922 | + | 1.13613i | ||||
\(157\) | 3.67053e9 | + | 6.35755e9i | 0.482148 | + | 0.835105i | 0.999790 | − | 0.0204923i | \(-0.00652337\pi\) |
−0.517642 | + | 0.855597i | \(0.673190\pi\) | |||||||
\(158\) | −3.49065e9 | + | 6.04598e9i | −0.445604 | + | 0.771809i | ||||
\(159\) | 2.61152e9 | 0.324045 | ||||||||
\(160\) | 5.84257e9 | − | 1.01196e10i | 0.704797 | − | 1.22074i | ||||
\(161\) | 1.48328e10 | + | 2.29170e9i | 1.73983 | + | 0.268808i | ||||
\(162\) | −8.51605e9 | + | 1.47502e10i | −0.971450 | + | 1.68260i | ||||
\(163\) | 6.31864e9 | + | 1.09442e10i | 0.701099 | + | 1.21434i | 0.968081 | + | 0.250637i | \(0.0806401\pi\) |
−0.266982 | + | 0.963701i | \(0.586027\pi\) | |||||||
\(164\) | −1.19291e10 | − | 2.06619e10i | −1.28769 | − | 2.23035i | ||||
\(165\) | −2.56566e10 | −2.69477 | ||||||||
\(166\) | 1.74292e10 | 1.78152 | ||||||||
\(167\) | 1.88149e9 | + | 3.25883e9i | 0.187188 | + | 0.324219i | 0.944312 | − | 0.329053i | \(-0.106729\pi\) |
−0.757124 | + | 0.653271i | \(0.773396\pi\) | |||||||
\(168\) | 8.02457e9 | − | 9.98666e9i | 0.777195 | − | 0.967227i | ||||
\(169\) | 6.27928e9 | + | 8.54553e9i | 0.592133 | + | 0.805840i | ||||
\(170\) | −5.92204e9 | + | 1.02573e10i | −0.543815 | + | 0.941915i | ||||
\(171\) | −3.77024e9 | + | 6.53025e9i | −0.337200 | + | 0.584047i | ||||
\(172\) | 5.35636e9 | − | 9.27748e9i | 0.466650 | − | 0.808262i | ||||
\(173\) | 8.95431e9 | + | 1.55093e10i | 0.760019 | + | 1.31639i | 0.942840 | + | 0.333245i | \(0.108144\pi\) |
−0.182821 | + | 0.983146i | \(0.558523\pi\) | |||||||
\(174\) | 3.02918e9 | 0.250527 | ||||||||
\(175\) | −3.61882e9 | − | 9.32163e9i | −0.291673 | − | 0.751312i | ||||
\(176\) | 6.02005e8 | − | 1.04270e9i | 0.0472926 | − | 0.0819132i | ||||
\(177\) | −1.50060e9 | + | 2.59912e9i | −0.114917 | + | 0.199043i | ||||
\(178\) | −1.46122e10 | −1.09100 | ||||||||
\(179\) | 1.61085e8 | − | 2.79007e8i | 0.0117278 | − | 0.0203131i | −0.860102 | − | 0.510122i | \(-0.829600\pi\) |
0.871830 | + | 0.489809i | \(0.162934\pi\) | |||||||
\(180\) | −2.12722e10 | −1.51038 | ||||||||
\(181\) | −2.33915e10 | −1.61996 | −0.809982 | − | 0.586455i | \(-0.800523\pi\) | ||||
−0.809982 | + | 0.586455i | \(0.800523\pi\) | |||||||
\(182\) | −1.93629e10 | − | 1.38771e10i | −1.30813 | − | 0.937515i | ||||
\(183\) | −2.86971e10 | −1.89151 | ||||||||
\(184\) | −2.59966e10 | −1.67200 | ||||||||
\(185\) | −1.62066e9 | + | 2.80707e9i | −0.101723 | + | 0.176189i | ||||
\(186\) | 5.32672e10 | 3.26326 | ||||||||
\(187\) | −6.45362e9 | + | 1.11780e10i | −0.385937 | + | 0.668462i | ||||
\(188\) | 1.19630e10 | − | 2.07205e10i | 0.698439 | − | 1.20973i | ||||
\(189\) | −6.64045e9 | − | 1.02597e9i | −0.378547 | − | 0.0584864i | ||||
\(190\) | 3.70696e10 | 2.06361 | ||||||||
\(191\) | 1.86062e9 | + | 3.22269e9i | 0.101160 | + | 0.175214i | 0.912163 | − | 0.409828i | \(-0.134411\pi\) |
−0.811003 | + | 0.585042i | \(0.801078\pi\) | |||||||
\(192\) | 2.00065e10 | − | 3.46522e10i | 1.06246 | − | 1.84024i | ||||
\(193\) | −2.52295e8 | + | 4.36987e8i | −0.0130888 | + | 0.0226705i | −0.872496 | − | 0.488622i | \(-0.837500\pi\) |
0.859407 | + | 0.511292i | \(0.170833\pi\) | |||||||
\(194\) | 2.06221e10 | − | 3.57185e10i | 1.04526 | − | 1.81045i | ||||
\(195\) | 1.95055e9 | + | 3.53950e10i | 0.0966054 | + | 1.75302i | ||||
\(196\) | 3.13218e10 | + | 9.91526e9i | 1.51598 | + | 0.479901i | ||||
\(197\) | −1.38116e10 | − | 2.39225e10i | −0.653352 | − | 1.13164i | −0.982304 | − | 0.187292i | \(-0.940029\pi\) |
0.328952 | − | 0.944347i | \(-0.393304\pi\) | |||||||
\(198\) | −3.77601e10 | −1.74598 | ||||||||
\(199\) | 2.70942e10 | 1.22472 | 0.612360 | − | 0.790579i | \(-0.290220\pi\) | ||||
0.612360 | + | 0.790579i | \(0.290220\pi\) | |||||||
\(200\) | 8.65994e9 | + | 1.49995e10i | 0.382719 | + | 0.662889i | ||||
\(201\) | −1.43286e10 | − | 2.48178e10i | −0.619186 | − | 1.07246i | ||||
\(202\) | 2.46746e10 | − | 4.27377e10i | 1.04272 | − | 1.80605i | ||||
\(203\) | 1.04334e9 | + | 2.68751e9i | 0.0431214 | + | 0.111075i | ||||
\(204\) | −1.29211e10 | + | 2.23800e10i | −0.522352 | + | 0.904740i | ||||
\(205\) | −5.50369e10 | −2.17651 | ||||||||
\(206\) | −6.27310e9 | + | 1.08653e10i | −0.242705 | + | 0.420378i | ||||
\(207\) | −1.64350e10 | − | 2.84662e10i | −0.622160 | − | 1.07761i | ||||
\(208\) | −1.48425e9 | − | 7.51234e8i | −0.0549820 | − | 0.0278285i | ||||
\(209\) | 4.03971e10 | 1.46451 | ||||||||
\(210\) | −2.88193e10 | − | 7.42349e10i | −1.02258 | − | 2.63403i | ||||
\(211\) | 1.52411e10 | + | 2.63983e10i | 0.529353 | + | 0.916865i | 0.999414 | + | 0.0342318i | \(0.0108984\pi\) |
−0.470061 | + | 0.882634i | \(0.655768\pi\) | |||||||
\(212\) | −5.79998e9 | − | 1.00459e10i | −0.197204 | − | 0.341567i | ||||
\(213\) | 3.10147e10 | + | 5.37190e10i | 1.03243 | + | 1.78822i | ||||
\(214\) | −8.24703e10 | −2.68804 | ||||||||
\(215\) | −1.23562e10 | − | 2.14016e10i | −0.394377 | − | 0.683081i | ||||
\(216\) | 1.16383e10 | 0.363788 | ||||||||
\(217\) | 1.83468e10 | + | 4.72589e10i | 0.561682 | + | 1.44682i | ||||
\(218\) | 1.96077e9 | + | 3.39616e9i | 0.0587994 | + | 0.101843i | ||||
\(219\) | 4.15158e10 | 1.21959 | ||||||||
\(220\) | 5.69814e10 | + | 9.86946e10i | 1.63995 | + | 2.84048i | ||||
\(221\) | 1.59114e10 | + | 8.05338e9i | 0.448687 | + | 0.227098i | ||||
\(222\) | −5.75982e9 | + | 9.97629e9i | −0.159155 | + | 0.275665i | ||||
\(223\) | 1.40657e9 | + | 2.43625e9i | 0.0380881 | + | 0.0659706i | 0.884441 | − | 0.466652i | \(-0.154540\pi\) |
−0.846353 | + | 0.532622i | \(0.821207\pi\) | |||||||
\(224\) | 3.90603e10 | + | 6.03490e9i | 1.03662 | + | 0.160160i | ||||
\(225\) | −1.09496e10 | + | 1.89653e10i | −0.284824 | + | 0.493330i | ||||
\(226\) | 1.48920e10 | − | 2.57936e10i | 0.379720 | − | 0.657695i | ||||
\(227\) | 6.56906e10 | 1.64205 | 0.821026 | − | 0.570890i | \(-0.193402\pi\) | ||||
0.821026 | + | 0.570890i | \(0.193402\pi\) | |||||||
\(228\) | 8.08808e10 | 1.98216 | ||||||||
\(229\) | −1.12388e10 | + | 1.94661e10i | −0.270059 | + | 0.467756i | −0.968877 | − | 0.247544i | \(-0.920377\pi\) |
0.698818 | + | 0.715300i | \(0.253710\pi\) | |||||||
\(230\) | −8.07955e10 | + | 1.39942e11i | −1.90376 | + | 3.29741i | ||||
\(231\) | −3.14062e10 | − | 8.08984e10i | −0.725708 | − | 1.86933i | ||||
\(232\) | −2.49674e9 | − | 4.32448e9i | −0.0565818 | − | 0.0980026i | ||||
\(233\) | −1.22974e10 | + | 2.12997e10i | −0.273345 | + | 0.473448i | −0.969716 | − | 0.244234i | \(-0.921463\pi\) |
0.696371 | + | 0.717682i | \(0.254797\pi\) | |||||||
\(234\) | 2.87072e9 | + | 5.20926e10i | 0.0625921 | + | 1.13581i | ||||
\(235\) | −2.75965e10 | − | 4.77986e10i | −0.590268 | − | 1.02237i | ||||
\(236\) | 1.33309e10 | 0.279740 | ||||||||
\(237\) | 1.75691e10 | + | 3.04305e10i | 0.361727 | + | 0.626530i | ||||
\(238\) | −3.95916e10 | − | 6.11700e9i | −0.799847 | − | 0.123578i | ||||
\(239\) | 6.37909e10 | 1.26464 | 0.632322 | − | 0.774706i | \(-0.282102\pi\) | ||||
0.632322 | + | 0.774706i | \(0.282102\pi\) | |||||||
\(240\) | −2.78043e9 | − | 4.81584e9i | −0.0540954 | − | 0.0936961i | ||||
\(241\) | −5.64773e10 | −1.07844 | −0.539221 | − | 0.842164i | \(-0.681281\pi\) | ||||
−0.539221 | + | 0.842164i | \(0.681281\pi\) | |||||||
\(242\) | 5.82134e10 | + | 1.00829e11i | 1.09107 | + | 1.88979i | ||||
\(243\) | 3.24531e10 | + | 5.62104e10i | 0.597073 | + | 1.03416i | ||||
\(244\) | 6.37341e10 | + | 1.10391e11i | 1.15111 | + | 1.99378i | ||||
\(245\) | 5.59354e10 | − | 5.11373e10i | 0.991834 | − | 0.906756i | ||||
\(246\) | −1.95601e11 | −3.40536 | ||||||||
\(247\) | −3.07120e9 | − | 5.57304e10i | −0.0525015 | − | 0.952700i | ||||
\(248\) | −4.39043e10 | − | 7.60444e10i | −0.737011 | − | 1.27654i | ||||
\(249\) | 4.38622e10 | − | 7.59716e10i | 0.723092 | − | 1.25243i | ||||
\(250\) | −2.59222e10 | −0.419703 | ||||||||
\(251\) | 9.52805e9 | − | 1.65031e10i | 0.151521 | − | 0.262442i | −0.780266 | − | 0.625448i | \(-0.784916\pi\) |
0.931787 | + | 0.363006i | \(0.118250\pi\) | |||||||
\(252\) | −2.60393e10 | − | 6.70738e10i | −0.406749 | − | 1.04773i | ||||
\(253\) | −8.80479e10 | + | 1.52503e11i | −1.35107 | + | 2.34012i | ||||
\(254\) | −3.77181e10 | − | 6.53296e10i | −0.568588 | − | 0.984823i | ||||
\(255\) | 2.98067e10 | + | 5.16267e10i | 0.441452 | + | 0.764617i | ||||
\(256\) | −6.17248e10 | −0.898213 | ||||||||
\(257\) | −8.30998e10 | −1.18823 | −0.594116 | − | 0.804379i | \(-0.702498\pi\) | ||||
−0.594116 | + | 0.804379i | \(0.702498\pi\) | |||||||
\(258\) | −4.39138e10 | − | 7.60610e10i | −0.617039 | − | 1.06874i | ||||
\(259\) | −1.08349e10 | − | 1.67401e9i | −0.149615 | − | 0.0231158i | ||||
\(260\) | 1.31824e11 | − | 8.61128e10i | 1.78901 | − | 1.16866i | ||||
\(261\) | 3.15686e9 | − | 5.46785e9i | 0.0421089 | − | 0.0729347i | ||||
\(262\) | −5.01239e10 | + | 8.68171e10i | −0.657187 | + | 1.13828i | ||||
\(263\) | 1.87351e10 | − | 3.24501e10i | 0.241465 | − | 0.418230i | −0.719666 | − | 0.694320i | \(-0.755705\pi\) |
0.961132 | + | 0.276090i | \(0.0890386\pi\) | |||||||
\(264\) | 7.51559e10 | + | 1.30174e11i | 0.952238 | + | 1.64932i | ||||
\(265\) | −2.67591e10 | −0.333323 | ||||||||
\(266\) | 4.53769e10 | + | 1.16885e11i | 0.555734 | + | 1.43150i | ||||
\(267\) | −3.67729e10 | + | 6.36925e10i | −0.442820 | + | 0.766986i | ||||
\(268\) | −6.36453e10 | + | 1.10237e11i | −0.753633 | + | 1.30533i | ||||
\(269\) | 8.11335e10 | 0.944745 | 0.472373 | − | 0.881399i | \(-0.343398\pi\) | ||||
0.472373 | + | 0.881399i | \(0.343398\pi\) | |||||||
\(270\) | 3.61711e10 | − | 6.26502e10i | 0.414214 | − | 0.717439i | ||||
\(271\) | 6.81927e8 | 0.00768027 | 0.00384013 | − | 0.999993i | \(-0.498778\pi\) | ||||
0.00384013 | + | 0.999993i | \(0.498778\pi\) | |||||||
\(272\) | −2.79753e9 | −0.0309895 | ||||||||
\(273\) | −1.09217e11 | + | 4.94773e10i | −1.19003 | + | 0.539106i | ||||
\(274\) | 1.57659e10 | 0.168982 | ||||||||
\(275\) | 1.17322e11 | 1.23703 | ||||||||
\(276\) | −1.76285e11 | + | 3.05334e11i | −1.82862 | + | 3.16727i | ||||
\(277\) | 1.85969e10 | 0.189793 | 0.0948967 | − | 0.995487i | \(-0.469748\pi\) | ||||
0.0948967 | + | 0.995487i | \(0.469748\pi\) | |||||||
\(278\) | 9.87342e10 | − | 1.71013e11i | 0.991439 | − | 1.71722i | ||||
\(279\) | 5.55124e10 | − | 9.61503e10i | 0.548493 | − | 0.950017i | ||||
\(280\) | −8.22244e10 | + | 1.02329e11i | −0.799447 | + | 0.994920i | ||||
\(281\) | 9.22103e9 | 0.0882269 | 0.0441135 | − | 0.999027i | \(-0.485954\pi\) | ||||
0.0441135 | + | 0.999027i | \(0.485954\pi\) | |||||||
\(282\) | −9.80779e10 | − | 1.69876e11i | −0.923528 | − | 1.59960i | ||||
\(283\) | 1.17767e10 | − | 2.03979e10i | 0.109140 | − | 0.189037i | −0.806282 | − | 0.591531i | \(-0.798524\pi\) |
0.915422 | + | 0.402495i | \(0.131857\pi\) | |||||||
\(284\) | 1.37763e11 | − | 2.38612e11i | 1.25660 | − | 2.17650i | ||||
\(285\) | 9.32891e10 | − | 1.61581e11i | 0.837585 | − | 1.45074i | ||||
\(286\) | 2.33999e11 | − | 1.52858e11i | 2.06808 | − | 1.35096i | ||||
\(287\) | −6.73706e10 | − | 1.73538e11i | −0.586141 | − | 1.50982i | ||||
\(288\) | −4.32793e10 | − | 7.49620e10i | −0.370693 | − | 0.642059i | ||||
\(289\) | −8.85978e10 | −0.747107 | ||||||||
\(290\) | −3.10388e10 | −0.257700 | ||||||||
\(291\) | −1.03795e11 | − | 1.79778e11i | −0.848510 | − | 1.46966i | ||||
\(292\) | −9.22033e10 | − | 1.59701e11i | −0.742205 | − | 1.28554i | ||||
\(293\) | −7.28746e10 | + | 1.26222e11i | −0.577659 | + | 1.00053i | 0.418088 | + | 0.908406i | \(0.362700\pi\) |
−0.995747 | + | 0.0921284i | \(0.970633\pi\) | |||||||
\(294\) | 1.98794e11 | − | 1.81742e11i | 1.55182 | − | 1.41870i | ||||
\(295\) | 1.53760e10 | − | 2.66321e10i | 0.118208 | − | 0.204742i | ||||
\(296\) | 1.89896e10 | 0.143782 | ||||||||
\(297\) | 3.94179e10 | − | 6.82738e10i | 0.293961 | − | 0.509155i | ||||
\(298\) | 8.46558e10 | + | 1.46628e11i | 0.621847 | + | 1.07707i | ||||
\(299\) | 2.17082e11 | + | 1.09874e11i | 1.57074 | + | 0.795012i | ||||
\(300\) | 2.34895e11 | 1.67428 | ||||||||
\(301\) | 5.23565e10 | − | 6.51582e10i | 0.367639 | − | 0.457530i | ||||
\(302\) | −3.00359e10 | − | 5.20236e10i | −0.207782 | − | 0.359890i | ||||
\(303\) | −1.24192e11 | − | 2.15106e11i | −0.846449 | − | 1.46609i | ||||
\(304\) | 4.37786e9 | + | 7.58267e9i | 0.0293989 | + | 0.0509203i | ||||
\(305\) | 2.94047e11 | 1.94566 | ||||||||
\(306\) | 4.38680e10 | + | 7.59817e10i | 0.286024 | + | 0.495407i | ||||
\(307\) | 7.91911e10 | 0.508808 | 0.254404 | − | 0.967098i | \(-0.418121\pi\) | ||||
0.254404 | + | 0.967098i | \(0.418121\pi\) | |||||||
\(308\) | −2.41445e11 | + | 3.00481e11i | −1.52876 | + | 1.90256i | ||||
\(309\) | 3.15736e10 | + | 5.46872e10i | 0.197021 | + | 0.341250i | ||||
\(310\) | −5.45806e11 | −3.35669 | ||||||||
\(311\) | −5.07815e10 | − | 8.79562e10i | −0.307811 | − | 0.533144i | 0.670072 | − | 0.742296i | \(-0.266263\pi\) |
−0.977883 | + | 0.209152i | \(0.932930\pi\) | |||||||
\(312\) | 1.73870e11 | − | 1.13579e11i | 1.03879 | − | 0.678582i | ||||
\(313\) | 2.16713e10 | − | 3.75357e10i | 0.127625 | − | 0.221052i | −0.795131 | − | 0.606437i | \(-0.792598\pi\) |
0.922756 | + | 0.385385i | \(0.125931\pi\) | |||||||
\(314\) | −1.33667e11 | − | 2.31518e11i | −0.775963 | − | 1.34401i | ||||
\(315\) | −1.64032e11 | − | 2.53434e10i | −0.938711 | − | 0.145033i | ||||
\(316\) | 7.80392e10 | − | 1.35168e11i | 0.440272 | − | 0.762573i | ||||
\(317\) | −1.11422e11 | + | 1.92988e11i | −0.619732 | + | 1.07341i | 0.369802 | + | 0.929111i | \(0.379425\pi\) |
−0.989534 | + | 0.144297i | \(0.953908\pi\) | |||||||
\(318\) | −9.51018e10 | −0.521515 | ||||||||
\(319\) | −3.38249e10 | −0.182885 | ||||||||
\(320\) | −2.04998e11 | + | 3.55066e11i | −1.09288 | + | 1.89293i | ||||
\(321\) | −2.07544e11 | + | 3.59477e11i | −1.09103 | + | 1.88972i | ||||
\(322\) | −5.40156e11 | − | 8.34553e10i | −2.80006 | − | 0.432616i | ||||
\(323\) | −4.69315e10 | − | 8.12878e10i | −0.239913 | − | 0.415541i | ||||
\(324\) | 1.90390e11 | − | 3.29765e11i | 0.959824 | − | 1.66246i | ||||
\(325\) | −8.91941e9 | − | 1.61853e11i | −0.0443467 | − | 0.804722i | ||||
\(326\) | −2.30101e11 | − | 3.98547e11i | −1.12834 | − | 1.95434i | ||||
\(327\) | 1.97378e10 | 0.0954629 | ||||||||
\(328\) | 1.61220e11 | + | 2.79241e11i | 0.769105 | + | 1.33213i | ||||
\(329\) | 1.16934e11 | − | 1.45525e11i | 0.550248 | − | 0.684789i | ||||
\(330\) | 9.34318e11 | 4.33693 | ||||||||
\(331\) | 1.17679e11 | + | 2.03827e11i | 0.538858 | + | 0.933329i | 0.998966 | + | 0.0454662i | \(0.0144773\pi\) |
−0.460108 | + | 0.887863i | \(0.652189\pi\) | |||||||
\(332\) | −3.89659e11 | −1.76020 | ||||||||
\(333\) | 1.20052e10 | + | 2.07936e10i | 0.0535020 | + | 0.0926681i | ||||
\(334\) | −6.85168e10 | − | 1.18675e11i | −0.301258 | − | 0.521793i | ||||
\(335\) | 1.46819e11 | + | 2.54298e11i | 0.636913 | + | 1.10317i | ||||
\(336\) | 1.17814e10 | − | 1.46621e10i | 0.0504278 | − | 0.0627580i | ||||
\(337\) | −3.51621e11 | −1.48505 | −0.742524 | − | 0.669819i | \(-0.766372\pi\) | ||||
−0.742524 | + | 0.669819i | \(0.766372\pi\) | |||||||
\(338\) | −2.28668e11 | − | 3.11196e11i | −0.952972 | − | 1.29691i | ||||
\(339\) | −7.49539e10 | − | 1.29824e11i | −0.308245 | − | 0.533896i | ||||
\(340\) | 1.32397e11 | − | 2.29318e11i | 0.537307 | − | 0.930643i | ||||
\(341\) | −5.94799e11 | −2.38219 | ||||||||
\(342\) | 1.37298e11 | − | 2.37808e11i | 0.542685 | − | 0.939957i | ||||
\(343\) | 2.29713e11 | + | 1.13774e11i | 0.896110 | + | 0.443832i | ||||
\(344\) | −7.23900e10 | + | 1.25383e11i | −0.278718 | + | 0.482754i | ||||
\(345\) | 4.06659e11 | + | 7.04354e11i | 1.54541 | + | 2.67673i | ||||
\(346\) | −3.26082e11 | − | 5.64791e11i | −1.22316 | − | 2.11858i | ||||
\(347\) | −8.82983e10 | −0.326941 | −0.163471 | − | 0.986548i | \(-0.552269\pi\) | ||||
−0.163471 | + | 0.986548i | \(0.552269\pi\) | |||||||
\(348\) | −6.77223e10 | −0.247529 | ||||||||
\(349\) | 2.34796e11 | + | 4.06679e11i | 0.847181 | + | 1.46736i | 0.883713 | + | 0.468028i | \(0.155036\pi\) |
−0.0365321 | + | 0.999332i | \(0.511631\pi\) | |||||||
\(350\) | 1.31784e11 | + | 3.39459e11i | 0.469415 | + | 1.20915i | ||||
\(351\) | −9.71849e10 | − | 4.91890e10i | −0.341757 | − | 0.172976i | ||||
\(352\) | −2.31863e11 | + | 4.01598e11i | −0.804987 | + | 1.39428i | ||||
\(353\) | 7.29290e10 | − | 1.26317e11i | 0.249985 | − | 0.432987i | −0.713536 | − | 0.700618i | \(-0.752908\pi\) |
0.963521 | + | 0.267631i | \(0.0862409\pi\) | |||||||
\(354\) | 5.46464e10 | − | 9.46503e10i | 0.184947 | − | 0.320337i | ||||
\(355\) | −3.17795e11 | − | 5.50436e11i | −1.06199 | − | 1.83941i | ||||
\(356\) | 3.26679e11 | 1.07794 | ||||||||
\(357\) | −1.26299e11 | + | 1.57180e11i | −0.411522 | + | 0.512143i | ||||
\(358\) | −5.86610e9 | + | 1.01604e10i | −0.0188745 | + | 0.0326916i | ||||
\(359\) | −1.50155e11 | + | 2.60076e11i | −0.477106 | + | 0.826372i | −0.999656 | − | 0.0262369i | \(-0.991648\pi\) |
0.522550 | + | 0.852609i | \(0.324981\pi\) | |||||||
\(360\) | 2.87489e11 | 0.902112 | ||||||||
\(361\) | 1.44575e10 | − | 2.50412e10i | 0.0448034 | − | 0.0776018i | ||||
\(362\) | 8.51832e11 | 2.60715 | ||||||||
\(363\) | 5.85997e11 | 1.77140 | ||||||||
\(364\) | 4.32889e11 | + | 3.10246e11i | 1.29247 | + | 0.926295i | ||||
\(365\) | −4.25394e11 | −1.25451 | ||||||||
\(366\) | 1.04504e12 | 3.04417 | ||||||||
\(367\) | 1.91175e11 | − | 3.31124e11i | 0.550089 | − | 0.952782i | −0.448179 | − | 0.893944i | \(-0.647927\pi\) |
0.998268 | − | 0.0588380i | \(-0.0187396\pi\) | |||||||
\(368\) | −3.81673e10 | −0.108487 | ||||||||
\(369\) | −2.03845e11 | + | 3.53071e11i | −0.572377 | + | 0.991386i | ||||
\(370\) | 5.90184e10 | − | 1.02223e11i | 0.163712 | − | 0.283557i | ||||
\(371\) | −3.27558e10 | − | 8.43747e10i | −0.0897647 | − | 0.231222i | ||||
\(372\) | −1.19087e12 | −3.22421 | ||||||||
\(373\) | 1.07566e11 | + | 1.86311e11i | 0.287731 | + | 0.498365i | 0.973268 | − | 0.229673i | \(-0.0737657\pi\) |
−0.685537 | + | 0.728038i | \(0.740432\pi\) | |||||||
\(374\) | 2.35017e11 | − | 4.07061e11i | 0.621121 | − | 1.07581i | ||||
\(375\) | −6.52357e10 | + | 1.12992e11i | −0.170351 | + | 0.295057i | ||||
\(376\) | −1.61677e11 | + | 2.80033e11i | −0.417160 | + | 0.722543i | ||||
\(377\) | 2.57154e9 | + | 4.66637e10i | 0.00655629 | + | 0.118971i | ||||
\(378\) | 2.41820e11 | + | 3.73618e10i | 0.609228 | + | 0.0941272i | ||||
\(379\) | 2.27678e11 | + | 3.94351e11i | 0.566820 | + | 0.981762i | 0.996878 | + | 0.0789602i | \(0.0251600\pi\) |
−0.430057 | + | 0.902802i | \(0.641507\pi\) | |||||||
\(380\) | −8.28752e11 | −2.03891 | ||||||||
\(381\) | −3.79684e11 | −0.923123 | ||||||||
\(382\) | −6.77569e10 | − | 1.17358e11i | −0.162805 | − | 0.281987i | ||||
\(383\) | −6.93192e10 | − | 1.20064e11i | −0.164611 | − | 0.285115i | 0.771906 | − | 0.635737i | \(-0.219304\pi\) |
−0.936517 | + | 0.350622i | \(0.885970\pi\) | |||||||
\(384\) | −4.36620e11 | + | 7.56248e11i | −1.02474 | + | 1.77490i | ||||
\(385\) | 3.21806e11 | + | 8.28932e11i | 0.746485 | + | 1.92285i | ||||
\(386\) | 9.18763e9 | − | 1.59134e10i | 0.0210650 | − | 0.0364856i | ||||
\(387\) | −1.83059e11 | −0.414851 | ||||||||
\(388\) | −4.61040e11 | + | 7.98545e11i | −1.03275 | + | 1.78878i | ||||
\(389\) | 4.19606e11 | + | 7.26778e11i | 0.929112 | + | 1.60927i | 0.784810 | + | 0.619736i | \(0.212760\pi\) |
0.144302 | + | 0.989534i | \(0.453906\pi\) | |||||||
\(390\) | −7.10318e10 | − | 1.28895e12i | −0.155475 | − | 2.82128i | ||||
\(391\) | 4.09161e11 | 0.885316 | ||||||||
\(392\) | −4.23307e11 | − | 1.34003e11i | −0.905457 | − | 0.286633i | ||||
\(393\) | 2.52283e11 | + | 4.36966e11i | 0.533483 | + | 0.924020i | ||||
\(394\) | 5.02968e11 | + | 8.71167e11i | 1.05150 | + | 1.82124i | ||||
\(395\) | −1.80023e11 | − | 3.11809e11i | −0.372084 | − | 0.644468i | ||||
\(396\) | 8.44189e11 | 1.72509 | ||||||||
\(397\) | −2.55930e11 | − | 4.43283e11i | −0.517087 | − | 0.895621i | −0.999803 | − | 0.0198438i | \(-0.993683\pi\) |
0.482716 | − | 0.875777i | \(-0.339650\pi\) | |||||||
\(398\) | −9.86668e11 | −1.97105 | ||||||||
\(399\) | 6.23681e11 | + | 9.63602e10i | 1.23193 | + | 0.190335i | ||||
\(400\) | 1.27142e10 | + | 2.20217e10i | 0.0248325 | + | 0.0430111i | ||||
\(401\) | 9.35853e11 | 1.80741 | 0.903707 | − | 0.428151i | \(-0.140835\pi\) | ||||
0.903707 | + | 0.428151i | \(0.140835\pi\) | |||||||
\(402\) | 5.21793e11 | + | 9.03773e11i | 0.996509 | + | 1.72600i | ||||
\(403\) | 4.52197e10 | + | 8.20564e11i | 0.0853995 | + | 1.54967i | ||||
\(404\) | −5.51641e11 | + | 9.55470e11i | −1.03024 | + | 1.78444i | ||||
\(405\) | −4.39197e11 | − | 7.60712e11i | −0.811170 | − | 1.40499i | ||||
\(406\) | −3.79945e10 | − | 9.78690e10i | −0.0693991 | − | 0.178763i | ||||
\(407\) | 6.43160e10 | − | 1.11399e11i | 0.116183 | − | 0.201236i | ||||
\(408\) | 1.74626e11 | − | 3.02460e11i | 0.311988 | − | 0.540378i | ||||
\(409\) | −6.35205e11 | −1.12243 | −0.561215 | − | 0.827670i | \(-0.689666\pi\) | ||||
−0.561215 | + | 0.827670i | \(0.689666\pi\) | |||||||
\(410\) | 2.00424e12 | 3.50286 | ||||||||
\(411\) | 3.96762e10 | − | 6.87212e10i | 0.0685871 | − | 0.118796i | ||||
\(412\) | 1.40245e11 | − | 2.42912e11i | 0.239801 | − | 0.415347i | ||||
\(413\) | 1.02796e11 | + | 1.58822e10i | 0.173860 | + | 0.0268619i | ||||
\(414\) | 5.98500e11 | + | 1.03663e12i | 1.00130 | + | 1.73430i | ||||
\(415\) | −4.49438e11 | + | 7.78449e11i | −0.743795 | + | 1.28829i | ||||
\(416\) | 5.71658e11 | + | 2.89338e11i | 0.935872 | + | 0.473681i | ||||
\(417\) | −4.96947e11 | − | 8.60738e11i | −0.804818 | − | 1.39399i | ||||
\(418\) | −1.47111e12 | −2.35696 | ||||||||
\(419\) | −1.34488e11 | − | 2.32939e11i | −0.213167 | − | 0.369215i | 0.739537 | − | 0.673116i | \(-0.235044\pi\) |
−0.952704 | + | 0.303900i | \(0.901711\pi\) | |||||||
\(420\) | 6.44303e11 | + | 1.65964e12i | 1.01034 | + | 2.60251i | ||||
\(421\) | 4.93938e11 | 0.766307 | 0.383154 | − | 0.923685i | \(-0.374838\pi\) | ||||
0.383154 | + | 0.923685i | \(0.374838\pi\) | |||||||
\(422\) | −5.55024e11 | − | 9.61329e11i | −0.851933 | − | 1.47559i | ||||
\(423\) | −4.08847e11 | −0.620911 | ||||||||
\(424\) | 7.83855e10 | + | 1.35768e11i | 0.117785 | + | 0.204009i | ||||
\(425\) | −1.36299e11 | − | 2.36077e11i | −0.202648 | − | 0.350997i | ||||
\(426\) | −1.12944e12 | − | 1.95625e12i | −1.66157 | − | 2.87793i | ||||
\(427\) | 3.59943e11 | + | 9.27166e11i | 0.523972 | + | 1.34968i | ||||
\(428\) | 1.84376e12 | 2.65587 | ||||||||
\(429\) | −7.74077e10 | − | 1.40465e12i | −0.110338 | − | 2.00222i | ||||
\(430\) | 4.49966e11 | + | 7.79365e11i | 0.634705 | + | 1.09934i | ||||
\(431\) | −2.10604e11 | + | 3.64776e11i | −0.293980 | + | 0.509189i | −0.974747 | − | 0.223311i | \(-0.928313\pi\) |
0.680767 | + | 0.732500i | \(0.261647\pi\) | |||||||
\(432\) | 1.70870e10 | 0.0236041 | ||||||||
\(433\) | 3.53261e10 | − | 6.11866e10i | 0.0482948 | − | 0.0836490i | −0.840867 | − | 0.541241i | \(-0.817955\pi\) |
0.889162 | + | 0.457592i | \(0.151288\pi\) | |||||||
\(434\) | −6.68121e11 | − | 1.72099e12i | −0.903964 | − | 2.32850i | ||||
\(435\) | −7.81119e10 | + | 1.35294e11i | −0.104596 | + | 0.181166i | ||||
\(436\) | −4.38362e10 | − | 7.59266e10i | −0.0580957 | − | 0.100625i | ||||
\(437\) | −6.40296e11 | − | 1.10902e12i | −0.839874 | − | 1.45470i | ||||
\(438\) | −1.51185e12 | −1.96280 | ||||||||
\(439\) | 5.68509e11 | 0.730545 | 0.365273 | − | 0.930901i | \(-0.380976\pi\) | ||||
0.365273 | + | 0.930901i | \(0.380976\pi\) | |||||||
\(440\) | −7.70091e11 | − | 1.33384e12i | −0.979501 | − | 1.69655i | ||||
\(441\) | −1.20881e11 | − | 5.48236e11i | −0.152189 | − | 0.690231i | ||||
\(442\) | −5.79434e11 | − | 2.93274e11i | −0.722111 | − | 0.365488i | ||||
\(443\) | 5.61420e11 | − | 9.72408e11i | 0.692582 | − | 1.19959i | −0.278407 | − | 0.960463i | \(-0.589806\pi\) |
0.970989 | − | 0.239124i | \(-0.0768603\pi\) | |||||||
\(444\) | 1.28770e11 | − | 2.23036e11i | 0.157250 | − | 0.272366i | ||||
\(445\) | 3.76796e11 | − | 6.52630e11i | 0.455498 | − | 0.788946i | ||||
\(446\) | −5.12221e10 | − | 8.87192e10i | −0.0612985 | − | 0.106172i | ||||
\(447\) | 8.52176e11 | 1.00959 | ||||||||
\(448\) | −1.37050e12 | − | 2.11746e11i | −1.60742 | − | 0.248350i | ||||
\(449\) | 2.66002e11 | − | 4.60729e11i | 0.308871 | − | 0.534979i | −0.669245 | − | 0.743042i | \(-0.733382\pi\) |
0.978116 | + | 0.208062i | \(0.0667157\pi\) | |||||||
\(450\) | 3.98743e11 | − | 6.90644e11i | 0.458392 | − | 0.793959i | ||||
\(451\) | 2.18414e12 | 2.48592 | ||||||||
\(452\) | −3.32934e11 | + | 5.76658e11i | −0.375176 | + | 0.649824i | ||||
\(453\) | −3.02352e11 | −0.337342 | ||||||||
\(454\) | −2.39221e12 | −2.64270 | ||||||||
\(455\) | 1.11910e12 | − | 5.06973e11i | 1.22410 | − | 0.554541i | ||||
\(456\) | −1.09309e12 | −1.18389 | ||||||||
\(457\) | 1.68662e11 | 0.180882 | 0.0904410 | − | 0.995902i | \(-0.471172\pi\) | ||||
0.0904410 | + | 0.995902i | \(0.471172\pi\) | |||||||
\(458\) | 4.09274e11 | − | 7.08883e11i | 0.434629 | − | 0.752800i | ||||
\(459\) | −1.83176e11 | −0.192624 | ||||||||
\(460\) | 1.80632e12 | − | 3.12863e12i | 1.88098 | − | 3.25795i | ||||
\(461\) | 5.09429e11 | − | 8.82357e11i | 0.525327 | − | 0.909893i | −0.474238 | − | 0.880397i | \(-0.657276\pi\) |
0.999565 | − | 0.0294961i | \(-0.00939025\pi\) | |||||||
\(462\) | 1.14370e12 | + | 2.94602e12i | 1.16795 | + | 3.00848i | ||||
\(463\) | −8.67468e11 | −0.877282 | −0.438641 | − | 0.898662i | \(-0.644540\pi\) | ||||
−0.438641 | + | 0.898662i | \(0.644540\pi\) | |||||||
\(464\) | −3.66563e9 | − | 6.34905e9i | −0.00367128 | − | 0.00635884i | ||||
\(465\) | −1.37357e12 | + | 2.37910e12i | −1.36243 | + | 2.35979i | ||||
\(466\) | 4.47825e11 | − | 7.75656e11i | 0.439918 | − | 0.761961i | ||||
\(467\) | −8.51109e11 | + | 1.47416e12i | −0.828055 | + | 1.43423i | 0.0715064 | + | 0.997440i | \(0.477219\pi\) |
−0.899562 | + | 0.436794i | \(0.856114\pi\) | |||||||
\(468\) | −6.41797e10 | − | 1.16461e12i | −0.0618431 | − | 1.12221i | ||||
\(469\) | −6.22111e11 | + | 7.74223e11i | −0.593731 | + | 0.738905i | ||||
\(470\) | 1.00496e12 | + | 1.74065e12i | 0.949969 | + | 1.64539i | ||||
\(471\) | −1.34554e12 | −1.25980 | ||||||||
\(472\) | −1.80164e11 | −0.167082 | ||||||||
\(473\) | 4.90356e11 | + | 8.49322e11i | 0.450440 | + | 0.780185i | ||||
\(474\) | −6.39800e11 | − | 1.10817e12i | −0.582160 | − | 1.00833i | ||||
\(475\) | −4.26589e11 | + | 7.38874e11i | −0.384493 | + | 0.665962i | ||||
\(476\) | 8.85134e11 | + | 1.36755e11i | 0.790274 | + | 0.122099i | ||||
\(477\) | −9.91103e10 | + | 1.71664e11i | −0.0876569 | + | 0.151826i | ||||
\(478\) | −2.32303e12 | −2.03530 | ||||||||
\(479\) | 2.54865e11 | − | 4.41439e11i | 0.221208 | − | 0.383143i | −0.733967 | − | 0.679185i | \(-0.762333\pi\) |
0.955175 | + | 0.296042i | \(0.0956668\pi\) | |||||||
\(480\) | 1.07088e12 | + | 1.85482e12i | 0.920781 | + | 1.59484i | ||||
\(481\) | −1.58571e11 | − | 8.02591e10i | −0.135074 | − | 0.0683662i | ||||
\(482\) | 2.05669e12 | 1.73563 | ||||||||
\(483\) | −1.72312e12 | + | 2.14444e12i | −1.44063 | + | 1.79288i | ||||
\(484\) | −1.30145e12 | − | 2.25419e12i | −1.07802 | − | 1.86718i | ||||
\(485\) | 1.06354e12 | + | 1.84211e12i | 0.872803 | + | 1.51174i | ||||
\(486\) | −1.18182e12 | − | 2.04697e12i | −0.960922 | − | 1.66437i | ||||
\(487\) | −1.45352e12 | −1.17095 | −0.585477 | − | 0.810689i | \(-0.699093\pi\) | ||||
−0.585477 | + | 0.810689i | \(0.699093\pi\) | |||||||
\(488\) | −8.61352e11 | − | 1.49191e12i | −0.687530 | − | 1.19084i | ||||
\(489\) | −2.31628e12 | −1.83190 | ||||||||
\(490\) | −2.03696e12 | + | 1.86223e12i | −1.59625 | + | 1.45932i | ||||
\(491\) | 2.33677e11 | + | 4.04741e11i | 0.181447 | + | 0.314275i | 0.942373 | − | 0.334563i | \(-0.108589\pi\) |
−0.760927 | + | 0.648838i | \(0.775255\pi\) | |||||||
\(492\) | 4.37297e12 | 3.36460 | ||||||||
\(493\) | 3.92962e10 | + | 6.80631e10i | 0.0299599 | + | 0.0518920i | ||||
\(494\) | 1.11842e11 | + | 2.02949e12i | 0.0844952 | + | 1.53326i | ||||
\(495\) | 9.73700e11 | − | 1.68650e12i | 0.728957 | − | 1.26259i | ||||
\(496\) | −6.44588e10 | − | 1.11646e11i | −0.0478205 | − | 0.0828276i | ||||
\(497\) | 1.34658e12 | − | 1.67583e12i | 0.989985 | − | 1.23205i | ||||
\(498\) | −1.59730e12 | + | 2.76660e12i | −1.16374 | + | 2.01565i | ||||
\(499\) | 2.05986e11 | − | 3.56778e11i | 0.148726 | − | 0.257600i | −0.782031 | − | 0.623239i | \(-0.785816\pi\) |
0.930757 | + | 0.365639i | \(0.119150\pi\) | |||||||
\(500\) | 5.79534e11 | 0.414681 | ||||||||
\(501\) | −6.89715e11 | −0.489103 | ||||||||
\(502\) | −3.46976e11 | + | 6.00980e11i | −0.243856 | + | 0.422370i | ||||
\(503\) | 2.43116e11 | − | 4.21089e11i | 0.169339 | − | 0.293304i | −0.768849 | − | 0.639431i | \(-0.779170\pi\) |
0.938188 | + | 0.346127i | \(0.112503\pi\) | |||||||
\(504\) | 3.51915e11 | + | 9.06488e11i | 0.242941 | + | 0.625785i | ||||
\(505\) | 1.27254e12 | + | 2.20411e12i | 0.870684 | + | 1.50807i | ||||
\(506\) | 3.20638e12 | − | 5.55361e12i | 2.17439 | − | 3.76615i | ||||
\(507\) | −1.93193e12 | + | 2.13578e11i | −1.29854 | + | 0.143556i | ||||
\(508\) | 8.43248e11 | + | 1.46055e12i | 0.561783 | + | 0.973037i | ||||
\(509\) | −5.87752e11 | −0.388118 | −0.194059 | − | 0.980990i | \(-0.562165\pi\) | ||||
−0.194059 | + | 0.980990i | \(0.562165\pi\) | |||||||
\(510\) | −1.08545e12 | − | 1.88005e12i | −0.710467 | − | 1.23056i | ||||
\(511\) | −5.20725e11 | − | 1.34132e12i | −0.337842 | − | 0.870239i | ||||
\(512\) | −1.91514e11 | −0.123164 | ||||||||
\(513\) | 2.86652e11 | + | 4.96496e11i | 0.182737 | + | 0.316510i | ||||
\(514\) | 3.02619e12 | 1.91232 | ||||||||
\(515\) | −3.23522e11 | − | 5.60356e11i | −0.202661 | − | 0.351020i | ||||
\(516\) | 9.81765e11 | + | 1.70047e12i | 0.609655 | + | 1.05595i | ||||
\(517\) | 1.09517e12 | + | 1.89689e12i | 0.674177 | + | 1.16771i | ||||
\(518\) | 3.94565e11 | + | 6.09613e10i | 0.240788 | + | 0.0372023i | ||||
\(519\) | −3.28246e12 | −1.98585 | ||||||||
\(520\) | −1.78157e12 | + | 1.16380e12i | −1.06853 | + | 0.698011i | ||||
\(521\) | 6.39278e11 | + | 1.10726e12i | 0.380119 | + | 0.658386i | 0.991079 | − | 0.133276i | \(-0.0425495\pi\) |
−0.610960 | + | 0.791662i | \(0.709216\pi\) | |||||||
\(522\) | −1.14961e11 | + | 1.99119e11i | −0.0677695 | + | 0.117380i | ||||
\(523\) | −1.99994e12 | −1.16885 | −0.584426 | − | 0.811447i | \(-0.698680\pi\) | ||||
−0.584426 | + | 0.811447i | \(0.698680\pi\) | |||||||
\(524\) | 1.12060e12 | − | 1.94094e12i | 0.649322 | − | 1.12466i | ||||
\(525\) | 1.81130e12 | + | 2.79851e11i | 1.04058 | + | 0.160772i | ||||
\(526\) | −6.82262e11 | + | 1.18171e12i | −0.388611 | + | 0.673095i | ||||
\(527\) | 6.91011e11 | + | 1.19687e12i | 0.390245 | + | 0.675924i | ||||
\(528\) | 1.10341e11 | + | 1.91117e11i | 0.0617854 | + | 0.107015i | ||||
\(529\) | 3.78110e12 | 2.09927 | ||||||||
\(530\) | 9.74467e11 | 0.536446 | ||||||||
\(531\) | −1.13899e11 | − | 1.97280e11i | −0.0621722 | − | 0.107685i | ||||
\(532\) | −1.01447e12 | − | 2.61315e12i | −0.549084 | − | 1.41437i | ||||
\(533\) | −1.66050e11 | − | 3.01317e12i | −0.0891182 | − | 1.61715i | ||||
\(534\) | 1.33913e12 | − | 2.31944e12i | 0.712669 | − | 1.23438i | ||||
\(535\) | 2.12662e12 | − | 3.68341e12i | 1.12227 | − | 1.94383i | ||||
\(536\) | 8.60153e11 | − | 1.48983e12i | 0.450126 | − | 0.779641i | ||||
\(537\) | 2.95252e10 | + | 5.11391e10i | 0.0153217 | + | 0.0265380i | ||||
\(538\) | −2.95458e12 | −1.52046 | ||||||||
\(539\) | −2.21980e12 | + | 2.02939e12i | −1.13283 | + | 1.03566i | ||||
\(540\) | −8.08663e11 | + | 1.40065e12i | −0.409257 | + | 0.708853i | ||||
\(541\) | 1.16838e12 | − | 2.02369e12i | 0.586401 | − | 1.01568i | −0.408298 | − | 0.912849i | \(-0.633878\pi\) |
0.994699 | − | 0.102828i | \(-0.0327891\pi\) | |||||||
\(542\) | −2.48332e10 | −0.0123605 | ||||||||
\(543\) | 2.14371e12 | − | 3.71302e12i | 1.05820 | − | 1.83286i | ||||
\(544\) | 1.07747e12 | 0.527486 | ||||||||
\(545\) | −2.02245e11 | −0.0981961 | ||||||||
\(546\) | 3.97728e12 | − | 1.80178e12i | 1.91522 | − | 0.867630i | ||||
\(547\) | 1.70239e12 | 0.813049 | 0.406525 | − | 0.913640i | \(-0.366741\pi\) | ||||
0.406525 | + | 0.913640i | \(0.366741\pi\) | |||||||
\(548\) | −3.52471e11 | −0.166960 | ||||||||
\(549\) | 1.08909e12 | − | 1.88636e12i | 0.511668 | − | 0.886235i | ||||
\(550\) | −4.27242e12 | −1.99086 | ||||||||
\(551\) | 1.22989e11 | − | 2.13024e11i | 0.0568441 | − | 0.0984569i | ||||
\(552\) | 2.38245e12 | − | 4.12653e12i | 1.09219 | − | 1.89173i | ||||
\(553\) | 7.62805e11 | − | 9.49319e11i | 0.346857 | − | 0.431667i | ||||
\(554\) | −6.77229e11 | −0.305451 | ||||||||
\(555\) | −2.97050e11 | − | 5.14506e11i | −0.132896 | − | 0.230183i | ||||
\(556\) | −2.20736e12 | + | 3.82326e12i | −0.979574 | + | 1.69667i | ||||
\(557\) | 2.95868e11 | − | 5.12458e11i | 0.130242 | − | 0.225585i | −0.793528 | − | 0.608534i | \(-0.791758\pi\) |
0.923770 | + | 0.382949i | \(0.125091\pi\) | |||||||
\(558\) | −2.02155e12 | + | 3.50143e12i | −0.882737 | + | 1.52895i | ||||
\(559\) | 1.13442e12 | − | 7.41049e11i | 0.491382 | − | 0.320992i | ||||
\(560\) | −1.20719e11 | + | 1.50236e11i | −0.0518716 | + | 0.0645548i | ||||
\(561\) | −1.18288e12 | − | 2.04881e12i | −0.504207 | − | 0.873311i | ||||
\(562\) | −3.35796e11 | −0.141991 | ||||||||
\(563\) | −3.54244e12 | −1.48599 | −0.742993 | − | 0.669299i | \(-0.766595\pi\) | ||||
−0.742993 | + | 0.669299i | \(0.766595\pi\) | |||||||
\(564\) | 2.19269e12 | + | 3.79785e12i | 0.912476 | + | 1.58045i | ||||
\(565\) | 7.68021e11 | + | 1.33025e12i | 0.317070 | + | 0.549181i | ||||
\(566\) | −4.28864e11 | + | 7.42815e11i | −0.175649 | + | 0.304233i | ||||
\(567\) | 1.86100e12 | − | 2.31603e12i | 0.756174 | − | 0.941066i | ||||
\(568\) | −1.86183e12 | + | 3.22479e12i | −0.750538 | + | 1.29997i | ||||
\(569\) | −2.75518e12 | −1.10191 | −0.550953 | − | 0.834536i | \(-0.685736\pi\) | ||||
−0.550953 | + | 0.834536i | \(0.685736\pi\) | |||||||
\(570\) | −3.39724e12 | + | 5.88419e12i | −1.34800 | + | 2.33480i | ||||
\(571\) | −1.22082e12 | − | 2.11452e12i | −0.480605 | − | 0.832433i | 0.519147 | − | 0.854685i | \(-0.326250\pi\) |
−0.999752 | + | 0.0222522i | \(0.992916\pi\) | |||||||
\(572\) | −5.23143e12 | + | 3.41739e12i | −2.04333 | + | 1.33479i | ||||
\(573\) | −6.82066e11 | −0.264320 | ||||||||
\(574\) | 2.45339e12 | + | 6.31961e12i | 0.943327 | + | 2.42989i | ||||
\(575\) | −1.85956e12 | − | 3.22084e12i | −0.709421 | − | 1.22875i | ||||
\(576\) | 1.51854e12 | + | 2.63019e12i | 0.574810 | + | 0.995601i | ||||
\(577\) | −6.52405e11 | − | 1.13000e12i | −0.245034 | − | 0.424411i | 0.717107 | − | 0.696963i | \(-0.245466\pi\) |
−0.962141 | + | 0.272552i | \(0.912132\pi\) | |||||||
\(578\) | 3.22640e12 | 1.20238 | ||||||||
\(579\) | −4.62430e10 | − | 8.00952e10i | −0.0170999 | − | 0.0296178i | ||||
\(580\) | 6.93922e11 | 0.254616 | ||||||||
\(581\) | −3.00470e12 | − | 4.64233e11i | −1.09398 | − | 0.169022i | ||||
\(582\) | 3.77982e12 | + | 6.54684e12i | 1.36558 | + | 2.36526i | ||||
\(583\) | 1.06194e12 | 0.380707 | ||||||||
\(584\) | 1.24611e12 | + | 2.15832e12i | 0.443300 | + | 0.767818i | ||||
\(585\) | −2.40066e12 | − | 1.21507e12i | −0.847480 | − | 0.428942i | ||||
\(586\) | 2.65382e12 | − | 4.59655e12i | 0.929677 | − | 1.61025i | ||||
\(587\) | −8.02910e11 | − | 1.39068e12i | −0.279123 | − | 0.483455i | 0.692044 | − | 0.721855i | \(-0.256710\pi\) |
−0.971167 | + | 0.238400i | \(0.923377\pi\) | |||||||
\(588\) | −4.44436e12 | + | 4.06313e12i | −1.53324 | + | 1.40173i | ||||
\(589\) | 2.16273e12 | − | 3.74595e12i | 0.740428 | − | 1.28246i | ||||
\(590\) | −5.59938e11 | + | 9.69841e11i | −0.190242 | + | 0.329508i | ||||
\(591\) | 5.06306e12 | 1.70714 | ||||||||
\(592\) | 2.78799e10 | 0.00932918 | ||||||||
\(593\) | −1.87116e10 | + | 3.24095e10i | −0.00621392 | + | 0.0107628i | −0.869116 | − | 0.494609i | \(-0.835311\pi\) |
0.862902 | + | 0.505372i | \(0.168645\pi\) | |||||||
\(594\) | −1.43545e12 | + | 2.48628e12i | −0.473097 | + | 0.819427i | ||||
\(595\) | 1.29413e12 | − | 1.61056e12i | 0.423304 | − | 0.526806i | ||||
\(596\) | −1.89262e12 | − | 3.27811e12i | −0.614405 | − | 1.06418i | ||||
\(597\) | −2.48304e12 | + | 4.30075e12i | −0.800017 | + | 1.38567i | ||||
\(598\) | −7.90533e12 | − | 4.00119e12i | −2.52793 | − | 1.27948i | ||||
\(599\) | 2.68642e12 | + | 4.65301e12i | 0.852615 | + | 1.47677i | 0.878840 | + | 0.477117i | \(0.158318\pi\) |
−0.0262245 | + | 0.999656i | \(0.508348\pi\) | |||||||
\(600\) | −3.17456e12 | −1.00001 | ||||||||
\(601\) | 2.01663e10 | + | 3.49290e10i | 0.00630508 | + | 0.0109207i | 0.869161 | − | 0.494530i | \(-0.164660\pi\) |
−0.862856 | + | 0.505450i | \(0.831326\pi\) | |||||||
\(602\) | −1.90663e12 | + | 2.37282e12i | −0.591673 | + | 0.736343i | ||||
\(603\) | 2.17515e12 | 0.669978 | ||||||||
\(604\) | 6.71501e11 | + | 1.16307e12i | 0.205296 | + | 0.355583i | ||||
\(605\) | −6.00447e12 | −1.82211 | ||||||||
\(606\) | 4.52260e12 | + | 7.83338e12i | 1.36226 | + | 2.35951i | ||||
\(607\) | 6.45956e11 | + | 1.11883e12i | 0.193132 | + | 0.334514i | 0.946286 | − | 0.323329i | \(-0.104802\pi\) |
−0.753155 | + | 0.657843i | \(0.771469\pi\) | |||||||
\(608\) | −1.68614e12 | − | 2.92047e12i | −0.500410 | − | 0.866736i | ||||
\(609\) | −5.22214e11 | − | 8.06834e10i | −0.153841 | − | 0.0237687i | ||||
\(610\) | −1.07081e13 | −3.13132 | ||||||||
\(611\) | 2.53362e12 | − | 1.65507e12i | 0.735456 | − | 0.480431i | ||||
\(612\) | −9.80741e11 | − | 1.69869e12i | −0.282601 | − | 0.489479i | ||||
\(613\) | −1.00893e12 | + | 1.74752e12i | −0.288596 | + | 0.499863i | −0.973475 | − | 0.228794i | \(-0.926522\pi\) |
0.684879 | + | 0.728657i | \(0.259855\pi\) | |||||||
\(614\) | −2.88385e12 | −0.818869 | ||||||||
\(615\) | 5.04385e12 | − | 8.73621e12i | 1.42175 | − | 2.46255i | ||||
\(616\) | 3.26308e12 | − | 4.06094e12i | 0.913092 | − | 1.13635i | ||||
\(617\) | 2.24918e12 | − | 3.89569e12i | 0.624800 | − | 1.08218i | −0.363780 | − | 0.931485i | \(-0.618514\pi\) |
0.988580 | − | 0.150700i | \(-0.0481527\pi\) | |||||||
\(618\) | −1.14979e12 | − | 1.99150e12i | −0.317082 | − | 0.549203i | ||||
\(619\) | −5.63565e11 | − | 9.76123e11i | −0.154289 | − | 0.267237i | 0.778511 | − | 0.627631i | \(-0.215975\pi\) |
−0.932800 | + | 0.360394i | \(0.882642\pi\) | |||||||
\(620\) | 1.22024e13 | 3.31652 | ||||||||
\(621\) | −2.49910e12 | −0.674329 | ||||||||
\(622\) | 1.84927e12 | + | 3.20304e12i | 0.495387 | + | 0.858035i | ||||
\(623\) | 2.51906e12 | + | 3.89200e11i | 0.669949 | + | 0.103509i | ||||
\(624\) | 2.55270e11 | − | 1.66753e11i | 0.0674013 | − | 0.0440294i | ||||
\(625\) | 2.20566e12 | − | 3.82031e12i | 0.578200 | − | 1.00147i | ||||
\(626\) | −7.89187e11 | + | 1.36691e12i | −0.205398 | + | 0.355759i | ||||
\(627\) | −3.70219e12 | + | 6.41237e12i | −0.956652 | + | 1.65697i | ||||
\(628\) | 2.98834e12 | + | 5.17596e12i | 0.766677 | + | 1.32792i | ||||
\(629\) | −2.98878e11 | −0.0761318 | ||||||||
\(630\) | 5.97344e12 | + | 9.22911e11i | 1.51075 | + | 0.233414i | ||||
\(631\) | 5.45292e11 | − | 9.44474e11i | 0.136930 | − | 0.237169i | −0.789403 | − | 0.613875i | \(-0.789610\pi\) |
0.926333 | + | 0.376706i | \(0.122943\pi\) | |||||||
\(632\) | −1.05468e12 | + | 1.82676e12i | −0.262963 | + | 0.455465i | ||||
\(633\) | −5.58707e12 | −1.38314 | ||||||||
\(634\) | 4.05757e12 | − | 7.02792e12i | 0.997389 | − | 1.72753i | ||||
\(635\) | 3.89046e12 | 0.949553 | ||||||||
\(636\) | 2.12615e12 | 0.515273 | ||||||||
\(637\) | 2.96844e12 | + | 2.90808e12i | 0.714332 | + | 0.699807i | ||||
\(638\) | 1.23178e12 | 0.294333 | ||||||||
\(639\) | −4.70818e12 | −1.11712 | ||||||||
\(640\) | 4.47386e12 | − | 7.74895e12i | 1.05408 | − | 1.82571i | ||||
\(641\) | 2.91737e12 | 0.682543 | 0.341272 | − | 0.939965i | \(-0.389142\pi\) | ||||
0.341272 | + | 0.939965i | \(0.389142\pi\) | |||||||
\(642\) | 7.55798e12 | − | 1.30908e13i | 1.75589 | − | 3.04130i | ||||
\(643\) | 4.03060e12 | − | 6.98121e12i | 0.929867 | − | 1.61058i | 0.146326 | − | 0.989236i | \(-0.453255\pi\) |
0.783541 | − | 0.621341i | \(-0.213412\pi\) | |||||||
\(644\) | 1.20761e13 | + | 1.86578e12i | 2.76655 | + | 0.427439i | ||||
\(645\) | 4.52953e12 | 1.03047 | ||||||||
\(646\) | 1.70907e12 | + | 2.96020e12i | 0.386112 | + | 0.668766i | ||||
\(647\) | −9.09630e11 | + | 1.57553e12i | −0.204078 | + | 0.353473i | −0.949838 | − | 0.312741i | \(-0.898753\pi\) |
0.745761 | + | 0.666214i | \(0.232086\pi\) | |||||||
\(648\) | −2.57308e12 | + | 4.45671e12i | −0.573279 | + | 0.992948i | ||||
\(649\) | −6.10199e11 | + | 1.05690e12i | −0.135011 | + | 0.233847i | ||||
\(650\) | 3.24812e11 | + | 5.89408e12i | 0.0713710 | + | 1.29511i | ||||
\(651\) | −9.18296e12 | − | 1.41879e12i | −2.00386 | − | 0.309602i | ||||
\(652\) | 5.14429e12 | + | 8.91016e12i | 1.11484 | + | 1.93095i | ||||
\(653\) | −6.97913e12 | −1.50208 | −0.751039 | − | 0.660258i | \(-0.770447\pi\) | ||||
−0.751039 | + | 0.660258i | \(0.770447\pi\) | |||||||
\(654\) | −7.18779e11 | −0.153637 | ||||||||
\(655\) | −2.58503e12 | − | 4.47741e12i | −0.548757 | − | 0.950475i | ||||
\(656\) | 2.36697e11 | + | 4.09972e11i | 0.0499029 | + | 0.0864344i | ||||
\(657\) | −1.57557e12 | + | 2.72897e12i | −0.329909 | + | 0.571420i | ||||
\(658\) | −4.25829e12 | + | 5.29949e12i | −0.885562 | + | 1.10209i | ||||
\(659\) | −9.76262e11 | + | 1.69094e12i | −0.201643 | + | 0.349255i | −0.949058 | − | 0.315102i | \(-0.897961\pi\) |
0.747415 | + | 0.664357i | \(0.231295\pi\) | |||||||
\(660\) | −2.08882e13 | −4.28503 | ||||||||
\(661\) | 4.10042e12 | − | 7.10214e12i | 0.835453 | − | 1.44705i | −0.0582073 | − | 0.998305i | \(-0.518538\pi\) |
0.893661 | − | 0.448743i | \(-0.148128\pi\) | |||||||
\(662\) | −4.28544e12 | − | 7.42260e12i | −0.867231 | − | 1.50209i | ||||
\(663\) | −2.73654e12 | + | 1.78762e12i | −0.550036 | + | 0.359307i | ||||
\(664\) | 5.26615e12 | 1.05132 | ||||||||
\(665\) | −6.39059e12 | − | 9.87362e11i | −1.26720 | − | 0.195785i | ||||
\(666\) | −4.37184e11 | − | 7.57225e11i | −0.0861054 | − | 0.149139i | ||||
\(667\) | 5.36126e11 | + | 9.28598e11i | 0.104882 | + | 0.181661i | ||||
\(668\) | 1.53180e12 | + | 2.65316e12i | 0.297652 | + | 0.515549i | ||||
\(669\) | −5.15620e11 | −0.0995204 | ||||||||
\(670\) | −5.34660e12 | − | 9.26058e12i | −1.02504 | − | 1.77542i | ||||
\(671\) | −1.16693e13 | −2.22225 | ||||||||
\(672\) | −4.53762e12 | + | 5.64711e12i | −0.858353 | + | 1.06823i | ||||
\(673\) | 4.74419e12 | + | 8.21718e12i | 0.891445 | + | 1.54403i | 0.838144 | + | 0.545449i | \(0.183641\pi\) |
0.0533011 | + | 0.998578i | \(0.483026\pi\) | |||||||
\(674\) | 1.28047e13 | 2.39002 | ||||||||
\(675\) | 8.32498e11 | + | 1.44193e12i | 0.154353 | + | 0.267348i | ||||
\(676\) | 5.11224e12 | + | 6.95730e12i | 0.941567 | + | 1.28139i | ||||
\(677\) | 1.12730e12 | − | 1.95253e12i | 0.206248 | − | 0.357232i | −0.744282 | − | 0.667866i | \(-0.767208\pi\) |
0.950530 | + | 0.310634i | \(0.100541\pi\) | |||||||
\(678\) | 2.72954e12 | + | 4.72771e12i | 0.496085 | + | 0.859245i | ||||
\(679\) | −4.50651e12 | + | 5.60839e12i | −0.813628 | + | 1.01257i | ||||
\(680\) | −1.78931e12 | + | 3.09918e12i | −0.320920 | + | 0.555850i | ||||
\(681\) | −6.02021e12 | + | 1.04273e13i | −1.07263 | + | 1.85785i | ||||
\(682\) | 2.16604e13 | 3.83386 | ||||||||
\(683\) | 8.44847e12 | 1.48554 | 0.742771 | − | 0.669545i | \(-0.233511\pi\) | ||||
0.742771 | + | 0.669545i | \(0.233511\pi\) | |||||||
\(684\) | −3.06953e12 | + | 5.31657e12i | −0.536190 | + | 0.928708i | ||||
\(685\) | −4.06546e11 | + | 7.04157e11i | −0.0705507 | + | 0.122197i | ||||
\(686\) | −8.36528e12 | − | 4.14322e12i | −1.44219 | − | 0.714298i | ||||
\(687\) | −2.05995e12 | − | 3.56794e12i | −0.352818 | − | 0.611099i | ||||
\(688\) | −1.06281e11 | + | 1.84083e11i | −0.0180845 | + | 0.0313232i | ||||
\(689\) | −8.07341e10 | − | 1.46501e12i | −0.0136480 | − | 0.247659i | ||||
\(690\) | −1.48090e13 | − | 2.56499e13i | −2.48717 | − | 4.30790i | ||||
\(691\) | −6.77663e10 | −0.0113074 | −0.00565370 | − | 0.999984i | \(-0.501800\pi\) | ||||
−0.00565370 | + | 0.999984i | \(0.501800\pi\) | |||||||
\(692\) | 7.29010e12 | + | 1.26268e13i | 1.20853 | + | 2.09323i | ||||
\(693\) | 6.50963e12 | + | 1.00575e12i | 1.07215 | + | 0.165650i | ||||
\(694\) | 3.21550e12 | 0.526175 | ||||||||
\(695\) | 5.09201e12 | + | 8.81961e12i | 0.827861 | + | 1.43390i | ||||
\(696\) | 9.15253e11 | 0.147843 | ||||||||
\(697\) | −2.53744e12 | − | 4.39498e12i | −0.407238 | − | 0.705357i | ||||
\(698\) | −8.55040e12 | − | 1.48097e13i | −1.36344 | − | 2.36155i | ||||
\(699\) | −2.25399e12 | − | 3.90402e12i | −0.357112 | − | 0.618536i | ||||
\(700\) | −2.94625e12 | − | 7.58916e12i | −0.463797 | − | 1.19468i | ||||
\(701\) | 1.00876e12 | 0.157782 | 0.0788912 | − | 0.996883i | \(-0.474862\pi\) | ||||
0.0788912 | + | 0.996883i | \(0.474862\pi\) | |||||||
\(702\) | 3.53911e12 | + | 1.79128e12i | 0.550019 | + | 0.278386i | ||||
\(703\) | 4.67714e11 | + | 8.10105e11i | 0.0722240 | + | 0.125096i | ||||
\(704\) | 8.13535e12 | − | 1.40908e13i | 1.24824 | − | 2.16202i | ||||
\(705\) | 1.01163e13 | 1.54231 | ||||||||
\(706\) | −2.65580e12 | + | 4.59998e12i | −0.402323 | + | 0.696843i | ||||
\(707\) | −5.39209e12 | + | 6.71052e12i | −0.811653 | + | 1.01011i | ||||
\(708\) | −1.22171e12 | + | 2.11606e12i | −0.182733 | + | 0.316503i | ||||
\(709\) | −1.04124e12 | − | 1.80349e12i | −0.154755 | − | 0.268043i | 0.778215 | − | 0.627998i | \(-0.216125\pi\) |
−0.932970 | + | 0.359955i | \(0.882792\pi\) | |||||||
\(710\) | 1.15729e13 | + | 2.00448e13i | 1.70915 | + | 2.96033i | ||||
\(711\) | −2.66707e12 | −0.391401 | ||||||||
\(712\) | −4.41500e12 | −0.643829 | ||||||||
\(713\) | 9.42759e12 | + | 1.63291e13i | 1.36615 | + | 2.36624i | ||||
\(714\) | 4.59934e12 | − | 5.72392e12i | 0.662298 | − | 0.824237i | ||||
\(715\) | 7.93164e11 | + | 1.43929e13i | 0.113497 | + | 2.05954i | ||||
\(716\) | 1.31146e11 | − | 2.27152e11i | 0.0186487 | − | 0.0323004i | ||||
\(717\) | −5.84611e12 | + | 1.01258e13i | −0.826097 | + | 1.43084i | ||||
\(718\) | 5.46809e12 | − | 9.47101e12i | 0.767848 | − | 1.32995i | ||||
\(719\) | 1.14377e12 | + | 1.98106e12i | 0.159609 | + | 0.276451i | 0.934728 | − | 0.355365i | \(-0.115643\pi\) |
−0.775119 | + | 0.631816i | \(0.782310\pi\) | |||||||
\(720\) | 4.22082e11 | 0.0585330 | ||||||||
\(721\) | 1.37085e12 | − | 1.70603e12i | 0.188921 | − | 0.235114i | ||||
\(722\) | −5.26489e11 | + | 9.11905e11i | −0.0721061 | + | 0.124891i | ||||
\(723\) | 5.17585e12 | − | 8.96484e12i | 0.704465 | − | 1.22017i | ||||
\(724\) | −1.90441e13 | −2.57595 | ||||||||
\(725\) | 3.57188e11 | − | 6.18667e11i | 0.0480148 | − | 0.0831641i | ||||
\(726\) | −2.13398e13 | −2.85086 | ||||||||
\(727\) | −9.43893e12 | −1.25319 | −0.626597 | − | 0.779344i | \(-0.715553\pi\) | ||||
−0.626597 | + | 0.779344i | \(0.715553\pi\) | |||||||
\(728\) | −5.85041e12 | − | 4.19290e12i | −0.771960 | − | 0.553253i | ||||
\(729\) | −2.69078e12 | −0.352862 | ||||||||
\(730\) | 1.54913e13 | 2.01899 | ||||||||
\(731\) | 1.13935e12 | − | 1.97341e12i | 0.147580 | − | 0.255617i | ||||
\(732\) | −2.33636e13 | −3.00774 | ||||||||
\(733\) | 1.22092e12 | − | 2.11470e12i | 0.156214 | − | 0.270571i | −0.777286 | − | 0.629147i | \(-0.783404\pi\) |
0.933500 | + | 0.358576i | \(0.116738\pi\) | |||||||
\(734\) | −6.96187e12 | + | 1.20583e13i | −0.885306 | + | 1.53340i | ||||
\(735\) | 2.99102e12 | + | 1.35653e13i | 0.378030 | + | 1.71450i | ||||
\(736\) | 1.47001e13 | 1.84659 | ||||||||
\(737\) | −5.82652e12 | − | 1.00918e13i | −0.727454 | − | 1.25999i | ||||
\(738\) | 7.42329e12 | − | 1.28575e13i | 0.921176 | − | 1.59552i | ||||
\(739\) | 2.89670e12 | − | 5.01723e12i | 0.357276 | − | 0.618819i | −0.630229 | − | 0.776409i | \(-0.717039\pi\) |
0.987505 | + | 0.157590i | \(0.0503724\pi\) | |||||||
\(740\) | −1.31945e12 | + | 2.28536e12i | −0.161752 | + | 0.280163i | ||||
\(741\) | 9.12775e12 | + | 4.61991e12i | 1.11220 | + | 0.562926i | ||||
\(742\) | 1.19284e12 | + | 3.07261e12i | 0.144466 | + | 0.372126i | ||||
\(743\) | −5.17955e11 | − | 8.97125e11i | −0.0623509 | − | 0.107995i | 0.833165 | − | 0.553025i | \(-0.186526\pi\) |
−0.895516 | + | 0.445030i | \(0.853193\pi\) | |||||||
\(744\) | 1.60944e13 | 1.92574 | ||||||||
\(745\) | −8.73189e12 | −1.03850 | ||||||||
\(746\) | −3.91717e12 | − | 6.78474e12i | −0.463071 | − | 0.802063i | ||||
\(747\) | 3.32925e12 | + | 5.76643e12i | 0.391204 | + | 0.677586i | ||||
\(748\) | −5.25418e12 | + | 9.10051e12i | −0.613688 | + | 1.06294i | ||||
\(749\) | 1.42174e13 | + | 2.19662e12i | 1.65064 | + | 0.255028i | ||||
\(750\) | 2.37564e12 | − | 4.11473e12i | 0.274161 | − | 0.474860i | ||||
\(751\) | −1.06994e13 | −1.22738 | −0.613692 | − | 0.789545i | \(-0.710317\pi\) | ||||
−0.613692 | + | 0.789545i | \(0.710317\pi\) | |||||||
\(752\) | −2.37369e11 | + | 4.11135e11i | −0.0270672 | + | 0.0468817i | ||||
\(753\) | 1.74639e12 | + | 3.02484e12i | 0.197954 | + | 0.342867i | ||||
\(754\) | −9.36461e10 | − | 1.69932e12i | −0.0105516 | − | 0.191471i | ||||
\(755\) | 3.09807e12 | 0.347001 | ||||||||
\(756\) | −5.40629e12 | − | 8.35285e11i | −0.601937 | − | 0.0930007i | ||||
\(757\) | 1.03228e12 | + | 1.78795e12i | 0.114252 | + | 0.197890i | 0.917481 | − | 0.397781i | \(-0.130219\pi\) |
−0.803228 | + | 0.595671i | \(0.796886\pi\) | |||||||
\(758\) | −8.29120e12 | − | 1.43608e13i | −0.912234 | − | 1.58003i | ||||
\(759\) | −1.61383e13 | − | 2.79523e13i | −1.76510 | − | 3.05724i | ||||
\(760\) | 1.12004e13 | 1.21779 | ||||||||
\(761\) | −6.29433e12 | − | 1.09021e13i | −0.680328 | − | 1.17836i | −0.974881 | − | 0.222728i | \(-0.928504\pi\) |
0.294552 | − | 0.955635i | \(-0.404829\pi\) | |||||||
\(762\) | 1.38267e13 | 1.48566 | ||||||||
\(763\) | −2.47568e11 | − | 6.37704e11i | −0.0264444 | − | 0.0681175i | ||||
\(764\) | 1.51482e12 | + | 2.62374e12i | 0.160857 | + | 0.278612i | ||||
\(765\) | −4.52480e12 | −0.477665 | ||||||||
\(766\) | 2.52435e12 | + | 4.37230e12i | 0.264923 | + | 0.458860i | ||||
\(767\) | 1.50445e12 | + | 7.61459e11i | 0.156963 | + | 0.0794452i | ||||
\(768\) | 5.65676e12 | − | 9.79779e12i | 0.586735 | − | 1.01626i | ||||
\(769\) | −3.77360e11 | − | 6.53606e11i | −0.0389123 | − | 0.0673981i | 0.845913 | − | 0.533320i | \(-0.179056\pi\) |
−0.884826 | + | 0.465922i | \(0.845723\pi\) | |||||||
\(770\) | −1.17190e13 | − | 3.01866e13i | −1.20138 | − | 3.09461i | ||||
\(771\) | 7.61568e12 | − | 1.31907e13i | 0.776182 | − | 1.34439i | ||||
\(772\) | −2.05404e11 | + | 3.55771e11i | −0.0208129 | + | 0.0360489i | ||||
\(773\) | −5.92334e12 | −0.596704 | −0.298352 | − | 0.954456i | \(-0.596437\pi\) | ||||
−0.298352 | + | 0.954456i | \(0.596437\pi\) | |||||||
\(774\) | 6.66633e12 | 0.667656 | ||||||||
\(775\) | 6.28102e12 | − | 1.08790e13i | 0.625421 | − | 1.08326i | ||||
\(776\) | 6.23086e12 | − | 1.07922e13i | 0.616837 | − | 1.06839i | ||||
\(777\) | 1.25868e12 | − | 1.56644e12i | 0.123886 | − | 0.154177i | ||||
\(778\) | −1.52805e13 | − | 2.64666e13i | −1.49530 | − | 2.58994i | ||||
\(779\) | −7.94169e12 | + | 1.37554e13i | −0.772670 | + | 1.33830i | ||||
\(780\) | 1.58803e12 | + | 2.88167e13i | 0.153615 | + | 2.78752i | ||||
\(781\) | 1.26117e13 | + | 2.18441e13i | 1.21295 | + | 2.10090i | ||||
\(782\) | −1.49001e13 | −1.42482 | ||||||||
\(783\) | −2.40017e11 | − | 4.15721e11i | −0.0228199 | − | 0.0395252i | ||||
\(784\) | −6.21485e11 | − | 1.96738e11i | −0.0587500 | − | 0.0185980i | ||||
\(785\) | 1.37872e13 | 1.29587 | ||||||||
\(786\) | −9.18719e12 | − | 1.59127e13i | −0.858581 | − | 1.48711i | ||||
\(787\) | −2.10589e13 | −1.95681 | −0.978407 | − | 0.206688i | \(-0.933732\pi\) | ||||
−0.978407 | + | 0.206688i | \(0.933732\pi\) | |||||||
\(788\) | −1.12447e13 | − | 1.94764e13i | −1.03891 | − | 1.79945i | ||||
\(789\) | 3.43395e12 | + | 5.94778e12i | 0.315462 | + | 0.546397i | ||||
\(790\) | 6.55576e12 | + | 1.13549e13i | 0.598827 | + | 1.03720i | ||||
\(791\) | −3.25431e12 | + | 4.05002e12i | −0.295573 | + | 0.367844i | ||||
\(792\) | −1.14090e13 | −1.03035 | ||||||||
\(793\) | 8.87160e11 | + | 1.60985e13i | 0.0796659 | + | 1.44563i | ||||
\(794\) | 9.32001e12 | + | 1.61427e13i | 0.832193 | + | 1.44140i | ||||
\(795\) | 2.45234e12 | − | 4.24757e12i | 0.217735 | − | 0.377128i | ||||
\(796\) | 2.20586e13 | 1.94746 | ||||||||
\(797\) | 6.29784e12 | − | 1.09082e13i | 0.552878 | − | 0.957613i | −0.445187 | − | 0.895438i | \(-0.646863\pi\) |
0.998065 | − | 0.0621755i | \(-0.0198038\pi\) | |||||||
\(798\) | −2.27121e13 | − | 3.50908e12i | −1.98264 | − | 0.306323i | ||||
\(799\) | 2.54464e12 | − | 4.40744e12i | 0.220885 | − | 0.382584i | ||||
\(800\) | −4.89690e12 | − | 8.48167e12i | −0.422684 | − | 0.732110i | ||||
\(801\) | −2.79115e12 | − | 4.83442e12i | −0.239573 | − | 0.414952i | ||||
\(802\) | −3.40803e13 | −2.90883 | ||||||||
\(803\) | 1.68818e13 | 1.43284 | ||||||||
\(804\) | −1.16655e13 | − | 2.02053e13i | −0.984584 | − | 1.70535i | ||||
\(805\) | 1.76561e13 | − | 2.19732e13i | 1.48188 | − | 1.84422i | ||||
\(806\) | −1.64673e12 | − | 2.98819e13i | −0.137441 | − | 2.49402i | ||||
\(807\) | −7.43547e12 | + | 1.28786e13i | −0.617131 | + | 1.06890i | ||||
\(808\) | 7.45531e12 | − | 1.29130e13i | 0.615339 | − | 1.06580i | ||||
\(809\) | −8.14399e12 | + | 1.41058e13i | −0.668450 | + | 1.15779i | 0.309888 | + | 0.950773i | \(0.399709\pi\) |
−0.978338 | + | 0.207016i | \(0.933625\pi\) | |||||||
\(810\) | 1.59939e13 | + | 2.77023e13i | 1.30549 | + | 2.26117i | ||||
\(811\) | 8.91726e12 | 0.723831 | 0.361916 | − | 0.932211i | \(-0.382123\pi\) | ||||
0.361916 | + | 0.932211i | \(0.382123\pi\) | |||||||
\(812\) | 8.49429e11 | + | 2.18802e12i | 0.0685686 | + | 0.176624i | ||||
\(813\) | −6.24951e10 | + | 1.08245e11i | −0.00501694 | + | 0.00868959i | ||||
\(814\) | −2.34215e12 | + | 4.05672e12i | −0.186984 | + | 0.323866i | ||||
\(815\) | 2.37340e13 | 1.88435 | ||||||||
\(816\) | 2.56379e11 | − | 4.44062e11i | 0.0202431 | − | 0.0350621i | ||||
\(817\) | −7.13187e12 | −0.560021 | ||||||||
\(818\) | 2.31318e13 | 1.80642 | ||||||||
\(819\) | 8.92607e11 | − | 9.05693e12i | 0.0693239 | − | 0.703402i | ||||
\(820\) | −4.48080e13 | −3.46093 | ||||||||
\(821\) | 2.76333e12 | 0.212270 | 0.106135 | − | 0.994352i | \(-0.466152\pi\) | ||||
0.106135 | + | 0.994352i | \(0.466152\pi\) | |||||||
\(822\) | −1.44486e12 | + | 2.50257e12i | −0.110383 | + | 0.191189i | ||||
\(823\) | 2.10364e12 | 0.159835 | 0.0799177 | − | 0.996801i | \(-0.474534\pi\) | ||||
0.0799177 | + | 0.996801i | \(0.474534\pi\) | |||||||
\(824\) | −1.89538e12 | + | 3.28290e12i | −0.143227 | + | 0.248076i | ||||
\(825\) | −1.07519e13 | + | 1.86229e13i | −0.808060 | + | 1.39960i | ||||
\(826\) | −3.74345e12 | − | 5.78371e11i | −0.279809 | − | 0.0432311i | ||||
\(827\) | −5.60638e12 | −0.416781 | −0.208391 | − | 0.978046i | \(-0.566823\pi\) | ||||
−0.208391 | + | 0.978046i | \(0.566823\pi\) | |||||||
\(828\) | −1.33804e13 | − | 2.31756e13i | −0.989314 | − | 1.71354i | ||||
\(829\) | −5.71792e12 | + | 9.90372e12i | −0.420477 | + | 0.728288i | −0.995986 | − | 0.0895077i | \(-0.971471\pi\) |
0.575509 | + | 0.817795i | \(0.304804\pi\) | |||||||
\(830\) | 1.63668e13 | − | 2.83482e13i | 1.19705 | − | 2.07336i | ||||
\(831\) | −1.70431e12 | + | 2.95195e12i | −0.123978 | + | 0.214736i | ||||
\(832\) | −2.00577e13 | − | 1.01520e13i | −1.45120 | − | 0.734507i | ||||
\(833\) | 6.66244e12 | + | 2.10907e12i | 0.479436 | + | 0.151771i | ||||
\(834\) | 1.80970e13 | + | 3.13449e13i | 1.29526 | + | 2.24346i | ||||
\(835\) | 7.06722e12 | 0.503106 | ||||||||
\(836\) | 3.28891e13 | 2.32875 | ||||||||
\(837\) | −4.22061e12 | − | 7.31031e12i | −0.297242 | − | 0.514839i | ||||
\(838\) | 4.89754e12 | + | 8.48278e12i | 0.343068 | + | 0.594211i | ||||
\(839\) | −1.02878e13 | + | 1.78190e13i | −0.716792 | + | 1.24152i | 0.245472 | + | 0.969404i | \(0.421057\pi\) |
−0.962264 | + | 0.272116i | \(0.912276\pi\) | |||||||
\(840\) | −8.70762e12 | − | 2.24297e13i | −0.603452 | − | 1.55441i | ||||
\(841\) | 7.15059e12 | − | 1.23852e13i | 0.492901 | − | 0.853730i | ||||
\(842\) | −1.79874e13 | −1.23328 | ||||||||
\(843\) | −8.45061e11 | + | 1.46369e12i | −0.0576320 | + | 0.0998216i | ||||
\(844\) | 1.24085e13 | + | 2.14921e13i | 0.841738 | + | 1.45793i | ||||
\(845\) | 1.97956e13 | − | 2.18844e12i | 1.33572 | − | 0.147666i | ||||
\(846\) | 1.48887e13 | 0.999286 | ||||||||
\(847\) | −7.35006e12 | − | 1.89328e13i | −0.490699 | − | 1.26398i | ||||
\(848\) | 1.15083e11 | + | 1.99329e11i | 0.00764240 | + | 0.0132370i | ||||
\(849\) | 2.15855e12 | + | 3.73872e12i | 0.142586 | + | 0.246967i | ||||
\(850\) | 4.96351e12 | + | 8.59705e12i | 0.326140 | + | 0.564890i | ||||
\(851\) | −4.07765e12 | −0.266518 | ||||||||
\(852\) | 2.52505e13 | + | 4.37351e13i | 1.64169 | + | 2.84349i | ||||
\(853\) | −7.62755e12 | −0.493304 | −0.246652 | − | 0.969104i | \(-0.579330\pi\) | ||||
−0.246652 | + | 0.969104i | \(0.579330\pi\) | |||||||
\(854\) | −1.31078e13 | − | 3.37639e13i | −0.843273 | − | 2.17216i | ||||
\(855\) | 7.08087e12 | + | 1.22644e13i | 0.453147 | + | 0.784873i | ||||
\(856\) | −2.49180e13 | −1.58628 | ||||||||
\(857\) | −1.11324e13 | − | 1.92818e13i | −0.704976 | − | 1.22105i | −0.966700 | − | 0.255911i | \(-0.917624\pi\) |
0.261724 | − | 0.965143i | \(-0.415709\pi\) | |||||||
\(858\) | 2.81890e12 | + | 5.11522e13i | 0.177577 | + | 3.22234i | ||||
\(859\) | −5.91009e12 | + | 1.02366e13i | −0.370361 | + | 0.641484i | −0.989621 | − | 0.143702i | \(-0.954099\pi\) |
0.619260 | + | 0.785186i | \(0.287433\pi\) | |||||||
\(860\) | −1.00597e13 | − | 1.74240e13i | −0.627109 | − | 1.08619i | ||||
\(861\) | 3.37205e13 | + | 5.20989e12i | 2.09112 | + | 0.323084i | ||||
\(862\) | 7.66940e12 | − | 1.32838e13i | 0.473128 | − | 0.819482i | ||||
\(863\) | 2.03354e12 | − | 3.52220e12i | 0.124797 | − | 0.216155i | −0.796857 | − | 0.604169i | \(-0.793505\pi\) |
0.921654 | + | 0.388014i | \(0.126839\pi\) | |||||||
\(864\) | −6.58106e12 | −0.401776 | ||||||||
\(865\) | 3.36340e13 | 2.04271 | ||||||||
\(866\) | −1.28645e12 | + | 2.22819e12i | −0.0777250 | + | 0.134624i | ||||
\(867\) | 8.11953e12 | − | 1.40634e13i | 0.488028 | − | 0.845290i | ||||
\(868\) | 1.49369e13 | + | 3.84756e13i | 0.893146 | + | 2.30063i | ||||
\(869\) | 7.14422e12 | + | 1.23742e13i | 0.424978 | + | 0.736083i | ||||
\(870\) | 2.84454e12 | − | 4.92690e12i | 0.168336 | − | 0.291566i | ||||
\(871\) | −1.34794e13 | + | 8.80530e12i | −0.793575 | + | 0.518397i | ||||
\(872\) | 5.92437e11 | + | 1.02613e12i | 0.0346991 | + | 0.0601006i | ||||
\(873\) | 1.57565e13 | 0.918114 | ||||||||
\(874\) | 2.33172e13 | + | 4.03865e13i | 1.35168 | + | 2.34118i | ||||
\(875\) | 4.46885e12 | + | 6.90448e11i | 0.257727 | + | 0.0398194i | ||||
\(876\) | 3.37998e13 | 1.93931 | ||||||||
\(877\) | −8.76595e12 | − | 1.51831e13i | −0.500381 | − | 0.866685i | −1.00000 | 0.000439838i | \(-0.999860\pi\) | |
0.499619 | − | 0.866245i | \(-0.333473\pi\) | |||||||
\(878\) | −2.07030e13 | −1.17573 | ||||||||
\(879\) | −1.33572e13 | − | 2.31353e13i | −0.754682 | − | 1.30715i | ||||
\(880\) | −1.13062e12 | − | 1.95829e12i | −0.0635543 | − | 0.110079i | ||||
\(881\) | −5.37255e12 | − | 9.30552e12i | −0.300461 | − | 0.520414i | 0.675779 | − | 0.737104i | \(-0.263807\pi\) |
−0.976240 | + | 0.216690i | \(0.930474\pi\) | |||||||
\(882\) | 4.40203e12 | + | 1.99647e13i | 0.244932 | + | 1.11085i | ||||
\(883\) | −3.73309e12 | −0.206655 | −0.103327 | − | 0.994647i | \(-0.532949\pi\) | ||||
−0.103327 | + | 0.994647i | \(0.532949\pi\) | |||||||
\(884\) | 1.29542e13 | + | 6.55662e12i | 0.713469 | + | 0.361114i | ||||
\(885\) | 2.81827e12 | + | 4.88139e12i | 0.154432 | + | 0.267485i | ||||
\(886\) | −2.04448e13 | + | 3.54115e13i | −1.11463 | + | 1.93060i | ||||
\(887\) | 2.17771e13 | 1.18126 | 0.590628 | − | 0.806944i | \(-0.298880\pi\) | ||||
0.590628 | + | 0.806944i | \(0.298880\pi\) | |||||||
\(888\) | −1.74030e12 | + | 3.01429e12i | −0.0939216 | + | 0.162677i | ||||
\(889\) | 4.76230e12 | + | 1.22671e13i | 0.255717 | + | 0.658694i | ||||
\(890\) | −1.37215e13 | + | 2.37664e13i | −0.733073 | + | 1.26972i | ||||
\(891\) | 1.74296e13 | + | 3.01889e13i | 0.926482 | + | 1.60471i | ||||
\(892\) | 1.14515e12 | + | 1.98346e12i | 0.0605650 | + | 0.104902i | ||||
\(893\) | −1.59284e13 | −0.838188 | ||||||||
\(894\) | −3.10331e13 | −1.62482 | ||||||||
\(895\) | −3.02532e11 | − | 5.24001e11i | −0.0157604 | − | 0.0272978i | ||||
\(896\) | 2.99098e13 | + | 4.62114e12i | 1.55034 | + | 0.239532i | ||||
\(897\) | −3.73352e13 | + | 2.43889e13i | −1.92554 | + | 1.25784i | ||||
\(898\) | −9.68680e12 | + | 1.67780e13i | −0.497092 | + | 0.860989i | ||||
\(899\) | −1.81087e12 | + | 3.13652e12i | −0.0924633 | + | 0.160151i | ||||
\(900\) | −8.91456e12 | + | 1.54405e13i | −0.452906 | + | 0.784457i | ||||
\(901\) | −1.23371e12 | − | 2.13685e12i | −0.0623666 | − | 0.108022i | ||||
\(902\) | −7.95384e13 | −4.00080 | ||||||||
\(903\) | 5.54459e12 | + | 1.42821e13i | 0.277507 | + | 0.714823i | ||||
\(904\) | 4.49953e12 | − | 7.79341e12i | 0.224083 | − | 0.388123i | ||||
\(905\) | −2.19657e13 | + | 3.80458e13i | −1.08850 | + | 1.88533i | ||||
\(906\) | 1.10105e13 | 0.542915 | ||||||||
\(907\) | −1.83740e13 | + | 3.18248e13i | −0.901513 | + | 1.56147i | −0.0759824 | + | 0.997109i | \(0.524209\pi\) |
−0.825531 | + | 0.564357i | \(0.809124\pi\) | |||||||
\(908\) | 5.34817e13 | 2.61107 | ||||||||
\(909\) | 1.88529e13 | 0.915885 | ||||||||
\(910\) | −4.07535e13 | + | 1.84621e13i | −1.97006 | + | 0.892470i | ||||
\(911\) | −2.03724e13 | −0.979963 | −0.489981 | − | 0.871733i | \(-0.662996\pi\) | ||||
−0.489981 | + | 0.871733i | \(0.662996\pi\) | |||||||
\(912\) | −1.60483e12 | −0.0768163 | ||||||||
\(913\) | 1.78360e13 | − | 3.08928e13i | 0.849529 | − | 1.47143i | ||||
\(914\) | −6.14205e12 | −0.291109 | ||||||||
\(915\) | −2.69479e13 | + | 4.66752e13i | −1.27095 | + | 2.20136i | ||||
\(916\) | −9.14997e12 | + | 1.58482e13i | −0.429428 | + | 0.743791i | ||||
\(917\) | 1.09535e13 | − | 1.36317e13i | 0.511552 | − | 0.636632i | ||||
\(918\) | 6.67058e12 | 0.310007 | ||||||||
\(919\) | 1.51368e13 | + | 2.62177e13i | 0.700025 | + | 1.21248i | 0.968457 | + | 0.249180i | \(0.0801611\pi\) |
−0.268432 | + | 0.963299i | \(0.586506\pi\) | |||||||
\(920\) | −2.44120e13 | + | 4.22828e13i | −1.12346 | + | 1.94589i | ||||
\(921\) | −7.25746e12 | + | 1.25703e13i | −0.332366 | + | 0.575675i | ||||
\(922\) | −1.85515e13 | + | 3.21322e13i | −0.845454 | + | 1.46437i | ||||
\(923\) | 2.91766e13 | − | 1.90594e13i | 1.32320 | − | 0.864373i | ||||
\(924\) | −2.55692e13 | − | 6.58630e13i | −1.15397 | − | 2.97247i | ||||
\(925\) | 1.35834e12 | + | 2.35272e12i | 0.0610058 | + | 0.105665i | ||||
\(926\) | 3.15900e13 | 1.41189 | ||||||||
\(927\) | −4.79303e12 | −0.213182 | ||||||||
\(928\) | 1.41182e12 | + | 2.44534e12i | 0.0624903 | + | 0.108236i | ||||
\(929\) | −2.84077e12 | − | 4.92037e12i | −0.125131 | − | 0.216734i | 0.796653 | − | 0.604437i | \(-0.206602\pi\) |
−0.921784 | + | 0.387703i | \(0.873269\pi\) | |||||||
\(930\) | 5.00203e13 | − | 8.66378e13i | 2.19267 | − | 3.79782i | ||||
\(931\) | −4.70945e12 | − | 2.13589e13i | −0.205445 | − | 0.931765i | ||||
\(932\) | −1.00119e13 | + | 1.73411e13i | −0.434654 | + | 0.752842i | ||||
\(933\) | 1.86155e13 | 0.804279 | ||||||||
\(934\) | 3.09942e13 | − | 5.36836e13i | 1.33266 | − | 2.30824i | ||||
\(935\) | 1.21205e13 | + | 2.09933e13i | 0.518642 | + | 0.898315i | ||||
\(936\) | 8.67374e11 | + | 1.57395e13i | 0.0369373 | + | 0.670270i | ||||
\(937\) | 3.77902e12 | 0.160159 | 0.0800795 | − | 0.996788i | \(-0.474483\pi\) | ||||
0.0800795 | + | 0.996788i | \(0.474483\pi\) | |||||||
\(938\) | 2.26550e13 | − | 2.81943e13i | 0.955544 | − | 1.18918i | ||||
\(939\) | 3.97212e12 | + | 6.87991e12i | 0.166735 | + | 0.288794i | ||||
\(940\) | −2.24676e13 | − | 3.89150e13i | −0.938600 | − | 1.62570i | ||||
\(941\) | −2.45300e12 | − | 4.24872e12i | −0.101987 | − | 0.176647i | 0.810516 | − | 0.585716i | \(-0.199187\pi\) |
−0.912503 | + | 0.409070i | \(0.865853\pi\) | |||||||
\(942\) | 4.89996e13 | 2.02751 | ||||||||
\(943\) | −3.46188e13 | − | 5.99615e13i | −1.42564 | − | 2.46928i | ||||
\(944\) | −2.64511e11 | −0.0108410 | ||||||||
\(945\) | −7.90440e12 | + | 9.83711e12i | −0.322423 | + | 0.401258i | ||||
\(946\) | −1.78570e13 | − | 3.09292e13i | −0.724932 | − | 1.25562i | ||||
\(947\) | −5.30841e11 | −0.0214482 | −0.0107241 | − | 0.999942i | \(-0.503414\pi\) | ||||
−0.0107241 | + | 0.999942i | \(0.503414\pi\) | |||||||
\(948\) | 1.43038e13 | + | 2.47749e13i | 0.575193 | + | 0.996263i | ||||
\(949\) | −1.28344e12 | − | 2.32896e13i | −0.0513664 | − | 0.932102i | ||||
\(950\) | 1.55348e13 | − | 2.69070e13i | 0.618798 | − | 1.07179i | ||||
\(951\) | −2.04225e13 | − | 3.53728e13i | −0.809649 | − | 1.40235i | ||||
\(952\) | −1.19624e13 | − | 1.84822e12i | −0.472011 | − | 0.0729268i | ||||
\(953\) | −1.83780e13 | + | 3.18316e13i | −0.721737 | + | 1.25009i | 0.238566 | + | 0.971126i | \(0.423323\pi\) |
−0.960303 | + | 0.278959i | \(0.910011\pi\) | |||||||
\(954\) | 3.60923e12 | − | 6.25136e12i | 0.141074 | − | 0.244347i | ||||
\(955\) | 6.98884e12 | 0.271888 | ||||||||
\(956\) | 5.19351e13 | 2.01094 | ||||||||
\(957\) | 3.09988e12 | − | 5.36915e12i | 0.119465 | − | 0.206920i | ||||
\(958\) | −9.28123e12 | + | 1.60756e13i | −0.356009 | + | 0.616625i | ||||
\(959\) | −2.71795e12 | − | 4.19929e11i | −0.103766 | − | 0.0160322i | ||||
\(960\) | −3.75740e13 | − | 6.50800e13i | −1.42780 | − | 2.47302i | ||||
\(961\) | −1.86238e13 | + | 3.22573e13i | −0.704389 | + | 1.22004i | ||||
\(962\) | 5.77458e12 | + | 2.92274e12i | 0.217386 | + | 0.110028i | ||||
\(963\) | −1.57531e13 | − | 2.72852e13i | −0.590266 | − | 1.02237i | ||||
\(964\) | −4.59807e13 | −1.71486 | ||||||||
\(965\) | 4.73833e11 | + | 8.20702e11i | 0.0175894 | + | 0.0304658i | ||||
\(966\) | 6.27497e13 | − | 7.80926e13i | 2.31854 | − | 2.88545i | ||||
\(967\) | −1.61423e11 | −0.00593672 | −0.00296836 | − | 0.999996i | \(-0.500945\pi\) | ||||
−0.00296836 | + | 0.999996i | \(0.500945\pi\) | |||||||
\(968\) | 1.75889e13 | + | 3.04648e13i | 0.643871 | + | 1.11522i | ||||
\(969\) | 1.72041e13 | 0.626868 | ||||||||
\(970\) | −3.87302e13 | − | 6.70827e13i | −1.40468 | − | 2.43297i | ||||
\(971\) | −1.51069e13 | − | 2.61660e13i | −0.545368 | − | 0.944605i | −0.998584 | − | 0.0532040i | \(-0.983057\pi\) |
0.453216 | − | 0.891401i | \(-0.350277\pi\) | |||||||
\(972\) | 2.64215e13 | + | 4.57634e13i | 0.949422 | + | 1.64445i | ||||
\(973\) | −2.15762e13 | + | 2.68518e13i | −0.771733 | + | 0.960429i | ||||
\(974\) | 5.29317e13 | 1.88452 | ||||||||
\(975\) | 2.65089e13 | + | 1.34172e13i | 0.939445 | + | 0.475489i | ||||
\(976\) | −1.26461e12 | − | 2.19037e12i | −0.0446100 | − | 0.0772667i | ||||
\(977\) | 1.34810e13 | − | 2.33498e13i | 0.473365 | − | 0.819892i | −0.526170 | − | 0.850379i | \(-0.676372\pi\) |
0.999535 | + | 0.0304869i | \(0.00970579\pi\) | |||||||
\(978\) | 8.43504e13 | 2.94824 | ||||||||
\(979\) | −1.49532e13 | + | 2.58997e13i | −0.520250 | + | 0.901099i | ||||
\(980\) | 4.55395e13 | − | 4.16332e13i | 1.57714 | − | 1.44186i | ||||
\(981\) | −7.49075e11 | + | 1.29744e12i | −0.0258235 | + | 0.0447276i | ||||
\(982\) | −8.50965e12 | − | 1.47392e13i | −0.292018 | − | 0.505791i | ||||
\(983\) | 1.00746e12 | + | 1.74497e12i | 0.0344140 | + | 0.0596069i | 0.882719 | − | 0.469900i | \(-0.155710\pi\) |
−0.848305 | + | 0.529507i | \(0.822377\pi\) | |||||||
\(984\) | −5.90998e13 | −2.00959 | ||||||||
\(985\) | −5.18791e13 | −1.75602 | ||||||||
\(986\) | −1.43102e12 | − | 2.47860e12i | −0.0482170 | − | 0.0835143i | ||||
\(987\) | 1.23834e13 | + | 3.18980e13i | 0.415348 | + | 1.06988i | ||||
\(988\) | −2.50040e12 | − | 4.53726e13i | −0.0834840 | − | 1.51491i | ||||
\(989\) | 1.55444e13 | − | 2.69236e13i | 0.516641 | − | 0.894849i | ||||
\(990\) | −3.54585e13 | + | 6.14159e13i | −1.17317 | + | 2.03200i | ||||
\(991\) | −2.63769e13 | + | 4.56861e13i | −0.868745 | + | 1.50471i | −0.00546523 | + | 0.999985i | \(0.501740\pi\) |
−0.863280 | + | 0.504726i | \(0.831594\pi\) | |||||||
\(992\) | 2.48263e13 | + | 4.30005e13i | 0.813973 | + | 1.40984i | ||||
\(993\) | −4.31388e13 | −1.40798 | ||||||||
\(994\) | −4.90374e13 | + | 6.10276e13i | −1.59327 | + | 1.98284i | ||||
\(995\) | 2.54427e13 | − | 4.40680e13i | 0.822922 | − | 1.42534i | ||||
\(996\) | 3.57102e13 | − | 6.18519e13i | 1.14981 | − | 1.99153i | ||||
\(997\) | −5.13518e12 | −0.164599 | −0.0822995 | − | 0.996608i | \(-0.526226\pi\) | ||||
−0.0822995 | + | 0.996608i | \(0.526226\pi\) | |||||||
\(998\) | −7.50125e12 | + | 1.29925e13i | −0.239357 | + | 0.414578i | ||||
\(999\) | 1.82551e12 | 0.0579882 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 91.10.h.a.16.10 | yes | 164 | |
7.4 | even | 3 | 91.10.g.a.81.73 | yes | 164 | ||
13.9 | even | 3 | 91.10.g.a.9.73 | ✓ | 164 | ||
91.74 | even | 3 | inner | 91.10.h.a.74.10 | yes | 164 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.10.g.a.9.73 | ✓ | 164 | 13.9 | even | 3 | ||
91.10.g.a.81.73 | yes | 164 | 7.4 | even | 3 | ||
91.10.h.a.16.10 | yes | 164 | 1.1 | even | 1 | trivial | |
91.10.h.a.74.10 | yes | 164 | 91.74 | even | 3 | inner |