Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [920,2,Mod(41,920)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(920, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("920.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 920 = 2^{3} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 920.y (of order \(11\), degree \(10\), 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: | \(7.34623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 601.4 | ||
Character | \(\chi\) | \(=\) | 920.601 |
Dual form | 920.2.y.c.721.4 |
$q$-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 \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{11}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.470412 | − | 1.03006i | 0.271592 | − | 0.594704i | −0.723862 | − | 0.689945i | \(-0.757635\pi\) |
0.995454 | + | 0.0952405i | \(0.0303620\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.654861 | − | 0.755750i | 0.292863 | − | 0.337981i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.28004 | + | 1.46529i | −0.861774 | + | 0.553829i | −0.895226 | − | 0.445612i | \(-0.852986\pi\) |
0.0334523 | + | 0.999440i | \(0.489350\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.12485 | + | 1.29815i | 0.374950 | + | 0.432715i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.631921 | − | 4.39511i | 0.190531 | − | 1.32518i | −0.640074 | − | 0.768314i | \(-0.721096\pi\) |
0.830605 | − | 0.556862i | \(-0.187995\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.08562 | − | 2.62567i | −1.13315 | − | 0.728229i | −0.166932 | − | 0.985968i | \(-0.553386\pi\) |
−0.966214 | + | 0.257740i | \(0.917022\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.470412 | − | 1.03006i | −0.121460 | − | 0.265960i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −6.71287 | − | 1.97108i | −1.62811 | − | 0.478056i | −0.664929 | − | 0.746907i | \(-0.731538\pi\) |
−0.963182 | + | 0.268850i | \(0.913356\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.14789 | − | 2.09881i | 1.63984 | − | 0.481500i | 0.673588 | − | 0.739107i | \(-0.264752\pi\) |
0.966250 | + | 0.257607i | \(0.0829339\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.436779 | + | 3.03786i | 0.0953130 | + | 0.662916i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.91611 | − | 4.39642i | −0.399536 | − | 0.916717i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.142315 | − | 0.989821i | −0.0284630 | − | 0.197964i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.12587 | − | 1.50509i | 0.986474 | − | 0.289655i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.308932 | − | 0.0907106i | −0.0573672 | − | 0.0168445i | 0.252923 | − | 0.967486i | \(-0.418608\pi\) |
−0.310290 | + | 0.950642i | \(0.600426\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.25998 | − | 4.94867i | −0.405905 | − | 0.888807i | −0.996637 | − | 0.0819400i | \(-0.973888\pi\) |
0.590732 | − | 0.806867i | \(-0.298839\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.22996 | − | 2.71843i | −0.736341 | − | 0.473217i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.385714 | + | 2.68270i | −0.0651976 | + | 0.453459i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.86788 | + | 4.46377i | 0.635876 | + | 0.733840i | 0.978640 | − | 0.205582i | \(-0.0659086\pi\) |
−0.342764 | + | 0.939422i | \(0.611363\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.62651 | + | 2.97328i | −0.740835 | + | 0.476105i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.65638 | − | 4.21969i | 0.571030 | − | 0.659004i | −0.394621 | − | 0.918844i | \(-0.629124\pi\) |
0.965652 | + | 0.259840i | \(0.0836697\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.77107 | − | 6.06780i | 0.422584 | − | 0.925331i | −0.571888 | − | 0.820332i | \(-0.693789\pi\) |
0.994472 | − | 0.104999i | \(-0.0334840\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.71769 | 0.256059 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.28934 | 0.188070 | 0.0940351 | − | 0.995569i | \(-0.470023\pi\) | ||||
0.0940351 | + | 0.995569i | \(0.470023\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.143594 | − | 0.314427i | 0.0205134 | − | 0.0449181i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −5.18814 | + | 5.98743i | −0.726485 | + | 0.838408i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −7.11302 | + | 4.57126i | −0.977048 | + | 0.627911i | −0.928665 | − | 0.370918i | \(-0.879043\pi\) |
−0.0483824 | + | 0.998829i | \(0.515407\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.90778 | − | 3.35576i | −0.392085 | − | 0.452490i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.20056 | − | 8.35005i | 0.159017 | − | 1.10599i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −8.38635 | − | 5.38958i | −1.09181 | − | 0.701663i | −0.134554 | − | 0.990906i | \(-0.542960\pi\) |
−0.957256 | + | 0.289243i | \(0.906596\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.07568 | − | 2.35540i | −0.137726 | − | 0.301579i | 0.828184 | − | 0.560457i | \(-0.189374\pi\) |
−0.965910 | + | 0.258878i | \(0.916647\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.46687 | − | 1.31159i | −0.562772 | − | 0.165245i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.65986 | + | 1.36826i | −0.577984 | + | 0.169711i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.67298 | + | 11.6358i | 0.204387 | + | 1.42154i | 0.791069 | + | 0.611727i | \(0.209525\pi\) |
−0.586682 | + | 0.809818i | \(0.699566\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.42993 | − | 0.0944246i | −0.653687 | − | 0.0113674i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.990511 | − | 6.88916i | −0.117552 | − | 0.817592i | −0.960237 | − | 0.279186i | \(-0.909936\pi\) |
0.842685 | − | 0.538407i | \(-0.180974\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.922619 | + | 0.270905i | −0.107984 | + | 0.0317071i | −0.335278 | − | 0.942119i | \(-0.608830\pi\) |
0.227294 | + | 0.973826i | \(0.427012\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.08652 | − | 0.319031i | −0.125461 | − | 0.0368385i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.99932 | + | 10.9470i | 0.569725 | + | 1.24752i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.954960 | + | 0.613715i | 0.107441 | + | 0.0690484i | 0.593258 | − | 0.805012i | \(-0.297841\pi\) |
−0.485817 | + | 0.874061i | \(0.661478\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.127578 | − | 0.887327i | 0.0141754 | − | 0.0985919i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.60345 | + | 5.31267i | 0.505294 | + | 0.583141i | 0.949888 | − | 0.312592i | \(-0.101197\pi\) |
−0.444593 | + | 0.895733i | \(0.646652\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.88564 | + | 3.78247i | −0.638387 | + | 0.410266i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.238762 | + | 0.275547i | −0.0255980 | + | 0.0295417i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.65599 | + | 12.3849i | −0.599534 | + | 1.31280i | 0.329973 | + | 0.943990i | \(0.392960\pi\) |
−0.929507 | + | 0.368806i | \(0.879767\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 13.1627 | 1.37983 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −6.16054 | −0.638818 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.09470 | − | 6.77644i | 0.317509 | − | 0.695248i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.8668 | − | 12.5410i | 1.10336 | − | 1.27335i | 0.144488 | − | 0.989507i | \(-0.453847\pi\) |
0.958872 | − | 0.283839i | \(-0.0916080\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.41631 | − | 4.12351i | 0.644863 | − | 0.414429i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.68430 | + | 1.94379i | 0.167594 | + | 0.193414i | 0.833334 | − | 0.552770i | \(-0.186429\pi\) |
−0.665739 | + | 0.746184i | \(0.731884\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.000685978 | 0.00477108i | −6.75914e−5 | 0.000470109i | −0.989855 | − | 0.142080i | \(-0.954621\pi\) | ||
0.989788 | + | 0.142550i | \(0.0455301\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.58189 | + | 1.65928i | 0.251967 | + | 0.161929i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.12198 | − | 9.02587i | −0.398487 | − | 0.872564i | −0.997421 | − | 0.0717661i | \(-0.977136\pi\) |
0.598935 | − | 0.800798i | \(-0.295591\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.96329 | + | 0.576474i | 0.188049 | + | 0.0552162i | 0.374401 | − | 0.927267i | \(-0.377848\pi\) |
−0.186352 | + | 0.982483i | \(0.559666\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.41744 | − | 1.88433i | 0.609117 | − | 0.178853i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.22692 | + | 15.4886i | 0.209491 | + | 1.45704i | 0.774823 | + | 0.632178i | \(0.217839\pi\) |
−0.565332 | + | 0.824863i | \(0.691252\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.57738 | − | 1.43095i | −0.426843 | − | 0.133436i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.18721 | − | 8.25720i | −0.109757 | − | 0.763379i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 18.1938 | − | 5.34219i | 1.66783 | − | 0.489718i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.36324 | − | 2.45567i | −0.760295 | − | 0.223243i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.62652 | − | 5.75127i | −0.236825 | − | 0.518575i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.841254 | − | 0.540641i | −0.0752440 | − | 0.0483564i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.12366 | + | 7.81522i | −0.0997087 | + | 0.693489i | 0.877246 | + | 0.480041i | \(0.159378\pi\) |
−0.976955 | + | 0.213448i | \(0.931531\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −4.94664 | − | 5.70873i | −0.435528 | − | 0.502626i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 14.1735 | − | 9.10876i | 1.23834 | − | 0.795836i | 0.253175 | − | 0.967420i | \(-0.418525\pi\) |
0.985169 | + | 0.171585i | \(0.0548888\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −13.2221 | + | 15.2591i | −1.14650 | + | 1.32313i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.21926 | − | 4.85950i | 0.191003 | − | 0.418239i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.13289 | 0.0967895 | 0.0483948 | − | 0.998828i | \(-0.484589\pi\) | ||||
0.0483948 | + | 0.998828i | \(0.484589\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.38978 | 0.711611 | 0.355806 | − | 0.934560i | \(-0.384206\pi\) | ||||
0.355806 | + | 0.934560i | \(0.384206\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.606522 | − | 1.32810i | 0.0510784 | − | 0.111846i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −14.1219 | + | 16.2975i | −1.18093 | + | 1.36287i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.270862 | + | 0.174072i | −0.0224939 | + | 0.0144559i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.256330 | − | 0.295820i | −0.0211417 | − | 0.0243988i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.17353 | − | 15.1173i | 0.178063 | − | 1.23845i | −0.683176 | − | 0.730253i | \(-0.739402\pi\) |
0.861239 | − | 0.508200i | \(-0.169689\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.09437 | + | 5.20194i | 0.658711 | + | 0.423328i | 0.826840 | − | 0.562437i | \(-0.190136\pi\) |
−0.168129 | + | 0.985765i | \(0.553773\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.99223 | − | 10.9315i | −0.403598 | − | 0.883756i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.21993 | − | 1.53271i | −0.419275 | − | 0.123110i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.43717 | + | 0.715617i | −0.194507 | + | 0.0571125i | −0.377535 | − | 0.925995i | \(-0.623228\pi\) |
0.183028 | + | 0.983108i | \(0.441410\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.36261 | + | 9.47719i | 0.108062 | + | 0.751590i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.8108 | + | 7.21636i | 0.852014 | + | 0.568728i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.15041 | − | 8.00129i | −0.0901072 | − | 0.626710i | −0.983965 | − | 0.178360i | \(-0.942921\pi\) |
0.893858 | − | 0.448350i | \(-0.147988\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −4.82448 | + | 1.41660i | −0.375585 | + | 0.110282i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 18.9001 | + | 5.54957i | 1.46253 | + | 0.429439i | 0.913665 | − | 0.406469i | \(-0.133240\pi\) |
0.548870 | + | 0.835908i | \(0.315058\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.39774 | + | 9.62971i | 0.338288 | + | 0.740747i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 10.7649 | + | 6.91816i | 0.823210 | + | 0.529045i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 3.71976 | − | 25.8715i | 0.282808 | − | 1.96697i | 0.0295960 | − | 0.999562i | \(-0.490578\pi\) |
0.253212 | − | 0.967411i | \(-0.418513\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.77486 | + | 2.04830i | 0.134167 | + | 0.154837i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −9.49661 | + | 6.10310i | −0.713809 | + | 0.458737i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −12.1920 | + | 14.0703i | −0.911272 | + | 1.05166i | 0.0871882 | + | 0.996192i | \(0.472212\pi\) |
−0.998460 | + | 0.0554721i | \(0.982334\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.4897 | + | 22.9692i | −0.779690 | + | 1.70728i | −0.0756381 | + | 0.997135i | \(0.524099\pi\) |
−0.704052 | + | 0.710148i | \(0.748628\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.93221 | −0.216756 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 5.90642 | 0.434249 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −12.9051 | + | 28.2582i | −0.943715 | + | 2.06645i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −9.48179 | + | 10.9426i | −0.689698 | + | 0.795954i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.04959 | + | 2.60251i | −0.293018 | + | 0.188311i | −0.678888 | − | 0.734242i | \(-0.737538\pi\) |
0.385870 | + | 0.922553i | \(0.373901\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.67760 | + | 4.24418i | 0.264720 | + | 0.305503i | 0.872511 | − | 0.488594i | \(-0.162490\pi\) |
−0.607792 | + | 0.794096i | \(0.707944\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.782667 | + | 5.44357i | −0.0560479 | + | 0.389822i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 18.3075 | + | 11.7655i | 1.30435 | + | 0.838257i | 0.993679 | − | 0.112260i | \(-0.0358089\pi\) |
0.310674 | + | 0.950517i | \(0.399445\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.2081 | + | 22.3526i | 0.723633 | + | 1.58454i | 0.808742 | + | 0.588163i | \(0.200149\pi\) |
−0.0851092 | + | 0.996372i | \(0.527124\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.7726 | + | 3.75037i | 0.900909 | + | 0.264531i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.837295 | − | 0.245852i | 0.0587666 | − | 0.0172554i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.794607 | − | 5.52661i | −0.0554978 | − | 0.385995i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.55186 | − | 7.43270i | 0.246871 | − | 0.516609i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.70759 | − | 32.7420i | −0.325631 | − | 2.26481i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.46191 | − | 2.48464i | 0.582542 | − | 0.171050i | 0.0228333 | − | 0.999739i | \(-0.492731\pi\) |
0.559708 | + | 0.828690i | \(0.310913\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −7.56218 | − | 2.22046i | −0.518152 | − | 0.152143i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −2.77107 | − | 6.06780i | −0.188986 | − | 0.413821i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 12.4041 | + | 7.97163i | 0.842045 | + | 0.541150i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −0.154962 | + | 1.07779i | −0.0104714 | + | 0.0728301i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 22.2508 | + | 25.6788i | 1.49675 | + | 1.72734i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.29059 | − | 2.11474i | 0.220354 | − | 0.141613i | −0.425807 | − | 0.904814i | \(-0.640010\pi\) |
0.646161 | + | 0.763201i | \(0.276373\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.12485 | − | 1.29815i | 0.0749900 | − | 0.0865431i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.65647 | − | 8.00656i | 0.242689 | − | 0.531414i | −0.748615 | − | 0.663004i | \(-0.769281\pi\) |
0.991304 | + | 0.131590i | \(0.0420083\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.9752 | −0.923507 | −0.461754 | − | 0.887008i | \(-0.652780\pi\) | ||||
−0.461754 | + | 0.887008i | \(0.652780\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.6278 | 0.896641 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 5.13258 | − | 11.2388i | 0.336247 | − | 0.736277i | −0.663685 | − | 0.748013i | \(-0.731008\pi\) |
0.999931 | + | 0.0117354i | \(0.00373557\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.844341 | − | 0.974421i | 0.0550787 | − | 0.0635642i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.08139 | − | 0.694965i | 0.0702436 | − | 0.0451428i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −10.6489 | − | 12.2894i | −0.688817 | − | 0.794937i | 0.298379 | − | 0.954447i | \(-0.403554\pi\) |
−0.987196 | + | 0.159510i | \(0.949009\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.09273 | + | 28.4655i | −0.263636 | + | 1.83363i | 0.241277 | + | 0.970456i | \(0.422434\pi\) |
−0.504913 | + | 0.863170i | \(0.668475\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 12.6286 | + | 8.11592i | 0.810126 | + | 0.520637i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.143594 | − | 0.314427i | −0.00917388 | − | 0.0200880i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −34.7143 | − | 10.1930i | −2.20882 | − | 0.648567i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 7.63787 | − | 2.24268i | 0.484030 | − | 0.142124i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.13564 | − | 14.8537i | −0.134801 | − | 0.937559i | −0.939176 | − | 0.343437i | \(-0.888409\pi\) |
0.804375 | − | 0.594122i | \(-0.202500\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −20.5336 | + | 5.64332i | −1.29094 | + | 0.354792i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.12749 | + | 7.84187i | 0.0706062 | + | 0.491077i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 18.9943 | − | 5.57722i | 1.18483 | − | 0.347897i | 0.370796 | − | 0.928715i | \(-0.379085\pi\) |
0.814034 | + | 0.580817i | \(0.197267\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −15.3597 | − | 4.51000i | −0.954403 | − | 0.280238i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.229746 | − | 0.503075i | −0.0142209 | − | 0.0311395i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −9.67497 | − | 6.21773i | −0.596584 | − | 0.383401i | 0.207221 | − | 0.978294i | \(-0.433558\pi\) |
−0.803805 | + | 0.594893i | \(0.797194\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.20331 | + | 8.36920i | −0.0739187 | + | 0.514116i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 10.0965 | + | 11.6520i | 0.617897 | + | 0.713091i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 11.7019 | − | 7.52033i | 0.713475 | − | 0.458522i | −0.132887 | − | 0.991131i | \(-0.542425\pi\) |
0.846362 | + | 0.532609i | \(0.178788\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.56302 | + | 1.80382i | −0.0949466 | + | 0.109574i | −0.801234 | − | 0.598351i | \(-0.795823\pi\) |
0.706288 | + | 0.707925i | \(0.250368\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.19191 | − | 13.5584i | 0.374751 | − | 0.820591i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −4.44031 | −0.267761 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.35205 | 0.441742 | 0.220871 | − | 0.975303i | \(-0.429110\pi\) | ||||
0.220871 | + | 0.975303i | \(0.429110\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.88196 | − | 8.50030i | 0.232407 | − | 0.508899i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.95697 | − | 8.02877i | 0.415018 | − | 0.478956i | −0.509295 | − | 0.860592i | \(-0.670094\pi\) |
0.924313 | + | 0.381636i | \(0.124639\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.2033 | + | 9.12793i | −0.844301 | + | 0.542599i | −0.889792 | − | 0.456365i | \(-0.849151\pi\) |
0.0454915 | + | 0.998965i | \(0.485515\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −5.52435 | − | 6.37544i | −0.327234 | − | 0.377648i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.15361 | + | 14.9787i | −0.127124 | + | 0.884166i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 26.8762 | + | 17.2723i | 1.58095 | + | 1.01602i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.80607 | − | 17.0929i | −0.457600 | − | 1.00200i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 26.9784 | + | 7.92157i | 1.57609 | + | 0.462783i | 0.948768 | − | 0.315973i | \(-0.102331\pi\) |
0.627326 | + | 0.778757i | \(0.284149\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.56506 | + | 2.80856i | −0.556899 | + | 0.163520i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.37589 | − | 23.4799i | −0.195889 | − | 1.36244i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3.71505 | + | 22.9932i | −0.214847 | + | 1.32973i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.57295 | + | 17.8953i | 0.148302 | + | 1.03147i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2.79453 | − | 0.820549i | 0.160542 | − | 0.0471393i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.48451 | − | 0.729519i | −0.142263 | − | 0.0417721i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.46404 | − | 5.39550i | −0.140630 | − | 0.307937i | 0.826191 | − | 0.563390i | \(-0.190503\pi\) |
−0.966822 | + | 0.255452i | \(0.917776\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.00459180 | + | 0.00295097i | 0.000261218 | + | 0.000167875i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.47510 | − | 10.2595i | 0.0836451 | − | 0.581764i | −0.904293 | − | 0.426913i | \(-0.859601\pi\) |
0.987938 | − | 0.154851i | \(-0.0494899\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.17556 | − | 5.97292i | −0.292540 | − | 0.337609i | 0.590386 | − | 0.807121i | \(-0.298975\pi\) |
−0.882926 | + | 0.469512i | \(0.844430\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.91641 | + | 2.51692i | −0.220665 | + | 0.141813i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −5.44813 | + | 6.28747i | −0.305997 | + | 0.353140i | −0.887832 | − | 0.460167i | \(-0.847789\pi\) |
0.581835 | + | 0.813307i | \(0.302335\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.593904 | + | 1.30047i | −0.0332522 | + | 0.0728122i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.2362 | −0.627143 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −52.1198 | −2.90002 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.01750 | + | 4.41770i | −0.111911 | + | 0.245050i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.51736 | − | 1.75112i | 0.0839101 | − | 0.0968374i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.93975 | + | 1.88927i | −0.162074 | + | 0.104159i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.15766 | + | 8.26038i | 0.393420 | + | 0.454031i | 0.917558 | − | 0.397602i | \(-0.130158\pi\) |
−0.524137 | + | 0.851634i | \(0.675612\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.44384 | + | 10.0421i | −0.0791221 | + | 0.550306i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 9.88935 | + | 6.35550i | 0.540313 | + | 0.347238i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.1525 | − | 24.4206i | −0.607516 | − | 1.33027i | −0.924260 | − | 0.381763i | \(-0.875317\pi\) |
0.316745 | − | 0.948511i | \(-0.397410\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 17.0017 | + | 4.99214i | 0.923405 | + | 0.271136i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −23.1781 | + | 6.80570i | −1.25516 | + | 0.368549i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.56667 | − | 17.8516i | −0.138587 | − | 0.963896i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −3.62721 | + | 4.04183i | −0.195282 | + | 0.217605i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 3.18563 | + | 22.1565i | 0.171014 | + | 1.18943i | 0.876748 | + | 0.480949i | \(0.159708\pi\) |
−0.705735 | + | 0.708476i | \(0.749383\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.74688 | − | 0.806557i | 0.147037 | − | 0.0431740i | −0.207386 | − | 0.978259i | \(-0.566496\pi\) |
0.354423 | + | 0.935085i | \(0.384677\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −24.8942 | − | 7.30960i | −1.32875 | − | 0.390157i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −9.32227 | − | 20.4129i | −0.496174 | − | 1.08647i | −0.977694 | − | 0.210035i | \(-0.932642\pi\) |
0.481520 | − | 0.876435i | \(-0.340085\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.85512 | − | 3.76286i | −0.310758 | − | 0.199712i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.05582 | − | 21.2537i | 0.161731 | − | 1.12487i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −0.425843 | − | 0.491449i | −0.0224751 | − | 0.0259377i | 0.744401 | − | 0.667733i | \(-0.232735\pi\) |
−0.766876 | + | 0.641795i | \(0.778190\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 30.7035 | − | 19.7319i | 1.61597 | − | 1.03852i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.46365 | + | 7.45945i | −0.339254 | + | 0.391520i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.399450 | + | 0.874674i | −0.0209082 | + | 0.0457825i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.79612 | 0.354755 | 0.177377 | − | 0.984143i | \(-0.443239\pi\) | ||||
0.177377 | + | 0.984143i | \(0.443239\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 9.59064 | 0.499269 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 9.51973 | − | 20.8453i | 0.494240 | − | 1.08223i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.3906 | + | 20.0699i | −0.900453 | + | 1.03918i | 0.0985763 | + | 0.995129i | \(0.468571\pi\) |
−0.999029 | + | 0.0440487i | \(0.985974\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.952627 | + | 0.612216i | −0.0491934 | + | 0.0316147i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.02400 | + | 1.18176i | 0.0527388 | + | 0.0608638i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.09201 | − | 14.5503i | 0.107459 | − | 0.747397i | −0.862838 | − | 0.505481i | \(-0.831315\pi\) |
0.970297 | − | 0.241916i | \(-0.0777758\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.52155 | + | 4.83381i | 0.385341 | + | 0.247644i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.85764 | + | 4.06766i | 0.0949209 | + | 0.207848i | 0.951136 | − | 0.308771i | \(-0.0999177\pi\) |
−0.856216 | + | 0.516619i | \(0.827190\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 11.5470 | + | 3.39051i | 0.588491 | + | 0.172797i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 10.9939 | − | 3.22811i | 0.558853 | − | 0.164094i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 2.01439 | + | 14.0104i | 0.102134 | + | 0.710356i | 0.974969 | + | 0.222341i | \(0.0713699\pi\) |
−0.872835 | + | 0.488015i | \(0.837721\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.19691 | + | 33.2894i | 0.212247 | + | 1.68352i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.71517 | − | 18.8844i | −0.136962 | − | 0.952592i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.08918 | − | 0.319812i | 0.0548026 | − | 0.0160915i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −30.6841 | − | 9.00966i | −1.53999 | − | 0.452182i | −0.601900 | − | 0.798572i | \(-0.705589\pi\) |
−0.938091 | + | 0.346390i | \(0.887407\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 9.49795 | + | 20.7976i | 0.475492 | + | 1.04118i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7.73447 | + | 4.97064i | 0.386241 | + | 0.248222i | 0.719323 | − | 0.694676i | \(-0.244452\pi\) |
−0.333082 | + | 0.942898i | \(0.608089\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.76014 | + | 26.1523i | −0.187306 | + | 1.30274i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.587051 | − | 0.677493i | −0.0291708 | − | 0.0336649i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 22.0630 | − | 14.1790i | 1.09362 | − | 0.702827i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 21.8718 | − | 25.2414i | 1.08149 | − | 1.24811i | 0.114467 | − | 0.993427i | \(-0.463484\pi\) |
0.967025 | − | 0.254681i | \(-0.0819705\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.532926 | − | 1.16694i | 0.0262873 | − | 0.0575612i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 27.0185 | 1.32949 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.02966 | 0.345073 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3.94665 | − | 8.64196i | 0.193268 | − | 0.423198i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 18.9173 | − | 21.8317i | 0.924170 | − | 1.06655i | −0.0734298 | − | 0.997300i | \(-0.523394\pi\) |
0.997599 | − | 0.0692482i | \(-0.0220600\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −18.1780 | + | 11.6823i | −0.885944 | + | 0.569361i | −0.902591 | − | 0.430500i | \(-0.858337\pi\) |
0.0166470 | + | 0.999861i | \(0.494701\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.45032 | + | 1.67376i | 0.0705169 | + | 0.0813808i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.995673 | + | 6.92506i | −0.0482972 | + | 0.335915i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.90394 | + | 3.79423i | 0.285712 | + | 0.183616i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 10.1443 | + | 22.2129i | 0.489771 | + | 1.07245i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −33.2538 | − | 9.76418i | −1.60178 | − | 0.470324i | −0.645737 | − | 0.763560i | \(-0.723450\pi\) |
−0.956040 | + | 0.293236i | \(0.905268\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.96619 | + | 2.04546i | −0.334774 | + | 0.0982985i | −0.444799 | − | 0.895630i | \(-0.646725\pi\) |
0.110025 | + | 0.993929i | \(0.464907\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.0518880 | + | 0.360889i | 0.00248784 | + | 0.0173033i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −22.9234 | − | 27.4036i | −1.09657 | − | 1.31089i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.73315 | − | 19.0095i | −0.130446 | − | 0.907272i | −0.944973 | − | 0.327147i | \(-0.893913\pi\) |
0.814527 | − | 0.580125i | \(-0.196996\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.569693 | − | 0.167277i | 0.0271282 | − | 0.00796557i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −17.6436 | − | 5.18064i | −0.838274 | − | 0.246139i | −0.165706 | − | 0.986175i | \(-0.552990\pi\) |
−0.672568 | + | 0.740036i | \(0.734809\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.65599 | + | 12.3849i | 0.268120 | + | 0.587100i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −14.5492 | − | 9.35020i | −0.688153 | − | 0.442249i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 0.551369 | − | 3.83485i | 0.0260207 | − | 0.180978i | −0.972666 | − | 0.232208i | \(-0.925405\pi\) |
0.998687 | + | 0.0512299i | \(0.0163141\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −16.2354 | − | 18.7367i | −0.764497 | − | 0.882277i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 9.16599 | − | 5.89062i | 0.430656 | − | 0.276766i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 8.61976 | − | 9.94773i | 0.404100 | − | 0.466357i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 14.1226 | − | 30.9242i | 0.660628 | − | 1.44657i | −0.221308 | − | 0.975204i | \(-0.571032\pi\) |
0.881936 | − | 0.471370i | \(-0.156240\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −37.3760 | −1.74456 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 25.2118 | 1.17423 | 0.587115 | − | 0.809503i | \(-0.300264\pi\) | ||||
0.587115 | + | 0.809503i | \(0.300264\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.0634165 | − | 0.138863i | 0.00294721 | − | 0.00645350i | −0.908153 | − | 0.418639i | \(-0.862507\pi\) |
0.911100 | + | 0.412186i | \(0.135234\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −4.03430 | + | 4.65583i | −0.187086 | + | 0.215909i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −21.4880 | + | 13.8095i | −0.994345 | + | 0.639027i | −0.933296 | − | 0.359108i | \(-0.883081\pi\) |
−0.0610492 | + | 0.998135i | \(0.519445\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −20.8644 | − | 24.0788i | −0.963427 | − | 1.11185i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.409345 | + | 2.84706i | −0.0188616 | + | 0.131186i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −24.9175 | − | 16.0135i | −1.14571 | − | 0.736303i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.09470 | − | 6.77644i | −0.141994 | − | 0.310924i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −13.9352 | − | 4.09175i | −0.638051 | − | 0.187349i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −37.3026 | + | 10.9530i | −1.70440 | + | 0.500457i | −0.981656 | − | 0.190659i | \(-0.938937\pi\) |
−0.722744 | + | 0.691116i | \(0.757119\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.08230 | − | 28.3930i | −0.186137 | − | 1.29461i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 12.5188 | − | 7.74114i | 0.569626 | − | 0.352234i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.36159 | − | 16.4252i | −0.107234 | − | 0.745830i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.34708 | − | 1.27642i | 0.196985 | − | 0.0578401i | −0.181752 | − | 0.983344i | \(-0.558177\pi\) |
0.378737 | + | 0.925504i | \(0.376359\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −8.78296 | − | 2.57891i | −0.397179 | − | 0.116622i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.48447 | + | 18.5784i | 0.382899 | + | 0.838432i | 0.998722 | + | 0.0505471i | \(0.0160965\pi\) |
−0.615823 | + | 0.787885i | \(0.711176\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.89502 | + | 1.21786i | 0.0853476 | + | 0.0548495i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.08545 | − | 7.54945i | 0.0487872 | − | 0.339323i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 12.3530 | + | 14.2562i | 0.554109 | + | 0.639476i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.7361 | − | 10.7557i | 0.749212 | − | 0.481489i | −0.109475 | − | 0.993990i | \(-0.534917\pi\) |
0.858687 | + | 0.512500i | \(0.171281\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 14.6072 | − | 16.8576i | 0.652602 | − | 0.753143i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 9.36857 | − | 20.5143i | 0.417724 | − | 0.914688i | −0.577438 | − | 0.816435i | \(-0.695947\pi\) |
0.995161 | − | 0.0982528i | \(-0.0313254\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.57200 | 0.114453 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 11.9879 | 0.532402 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 8.15673 | − | 17.8607i | 0.361541 | − | 0.791664i | −0.638221 | − | 0.769853i | \(-0.720330\pi\) |
0.999762 | − | 0.0218108i | \(-0.00694314\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.70665 | − | 1.96958i | 0.0754978 | − | 0.0871291i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 33.4802 | − | 21.5164i | 1.47819 | − | 0.949974i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0.00315652 | + | 0.00364282i | 0.000139093 | + | 0.000160522i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.814764 | − | 5.66681i | 0.0358333 | − | 0.249226i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −24.8993 | − | 16.0018i | −1.09296 | − | 0.702402i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.83633 | − | 14.9695i | −0.299505 | − | 0.655825i | 0.698719 | − | 0.715396i | \(-0.253754\pi\) |
−0.998224 | + | 0.0595714i | \(0.981027\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.47216 | − | 2.48765i | −0.370462 | − | 0.108777i | 0.0912020 | − | 0.995832i | \(-0.470929\pi\) |
−0.461664 | + | 0.887055i | \(0.652747\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.94478 | − | 0.864666i | 0.128521 | − | 0.0377371i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 5.41676 | + | 37.6744i | 0.235958 | + | 1.64112i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.6570 | + | 16.8481i | −0.680741 | + | 0.732524i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2.43692 | − | 16.9492i | −0.105753 | − | 0.735531i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −26.0180 | + | 7.63959i | −1.12697 | + | 0.330907i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −9.52062 | − | 2.79551i | −0.411612 | − | 0.120860i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 8.75798 | + | 19.1773i | 0.377935 | + | 0.827561i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.29120 | − | 0.829804i | −0.0556159 | − | 0.0357422i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.394966 | + | 2.74705i | −0.0169809 | + | 0.118105i | −0.996549 | − | 0.0830090i | \(-0.973547\pi\) |
0.979568 | + | 0.201114i | \(0.0644561\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 18.7251 | + | 21.6099i | 0.803571 | + | 0.927370i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.72135 | − | 1.10625i | 0.0737347 | − | 0.0473864i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.44130 | − | 7.43366i | 0.275410 | − | 0.317840i | −0.601147 | − | 0.799139i | \(-0.705289\pi\) |
0.876557 | + | 0.481299i | \(0.159835\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.84768 | − | 4.04586i | 0.0788572 | − | 0.172673i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.39860 | −0.102184 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.07662 | −0.130831 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.77845 | − | 6.08395i | 0.117939 | − | 0.258249i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 5.31545 | − | 6.13435i | 0.225223 | − | 0.259921i | −0.631880 | − | 0.775066i | \(-0.717717\pi\) |
0.857103 | + | 0.515145i | \(0.172262\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −27.2535 | + | 17.5148i | −1.15270 | + | 0.740797i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 23.0369 | + | 26.5860i | 0.972620 | + | 1.12246i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 4.79005 | − | 33.3155i | 0.201876 | − | 1.40408i | −0.596834 | − | 0.802365i | \(-0.703575\pi\) |
0.798710 | − | 0.601716i | \(-0.205516\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.1638 | + | 8.45986i | 0.553805 | + | 0.355909i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.00931 | + | 2.21008i | 0.0423870 | + | 0.0928146i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −15.7836 | − | 4.63447i | −0.661681 | − | 0.194287i | −0.0663857 | − | 0.997794i | \(-0.521147\pi\) |
−0.595295 | + | 0.803507i | \(0.702965\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.0660 | − | 4.42378i | 0.630493 | − | 0.185129i | 0.0491545 | − | 0.998791i | \(-0.484347\pi\) |
0.581339 | + | 0.813662i | \(0.302529\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.775765 | + | 5.39556i | 0.0324080 | + | 0.225403i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.07898 | + | 2.52228i | −0.170105 | + | 0.105186i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.92204 | + | 20.3233i | 0.121646 | + | 0.846068i | 0.955691 | + | 0.294372i | \(0.0951103\pi\) |
−0.834045 | + | 0.551697i | \(0.813981\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 6.10174 | − | 1.79163i | 0.253580 | − | 0.0744577i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −18.2807 | − | 5.36769i | −0.758410 | − | 0.222689i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 15.5963 | + | 34.1512i | 0.645933 | + | 1.41440i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −7.01783 | − | 4.51009i | −0.290152 | − | 0.186469i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 0.610048 | − | 4.24297i | 0.0251794 | − | 0.175126i | −0.973351 | − | 0.229320i | \(-0.926350\pi\) |
0.998530 | + | 0.0541937i | \(0.0172589\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −26.5404 | − | 30.6293i | −1.09358 | − | 1.26206i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 20.7312 | − | 13.3231i | 0.852767 | − | 0.548040i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 18.0362 | − | 20.8148i | 0.740657 | − | 0.854763i | −0.252971 | − | 0.967474i | \(-0.581408\pi\) |
0.993628 | + | 0.112710i | \(0.0359532\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.87706 | − | 17.2484i | 0.322928 | − | 0.707114i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 27.8265 | 1.13886 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 5.79973 | 0.236971 | 0.118485 | − | 0.992956i | \(-0.462196\pi\) | ||||
0.118485 | + | 0.992956i | \(0.462196\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −18.4984 | + | 40.5059i | −0.754567 | + | 1.65227i | 0.00341418 | + | 0.999994i | \(0.498913\pi\) |
−0.757981 | + | 0.652277i | \(0.773814\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −13.2232 | + | 15.2603i | −0.538489 | + | 0.621449i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −7.33263 | + | 4.71239i | −0.298114 | + | 0.191586i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.888078 | − | 1.02490i | −0.0360460 | − | 0.0415993i | 0.737440 | − | 0.675412i | \(-0.236034\pi\) |
−0.773486 | + | 0.633813i | \(0.781489\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.140632 | − | 0.978114i | 0.00569868 | − | 0.0396352i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −5.26776 | − | 3.38539i | −0.213111 | − | 0.136958i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 16.4992 | + | 36.1282i | 0.666397 | + | 1.45920i | 0.876439 | + | 0.481513i | \(0.159912\pi\) |
−0.210043 | + | 0.977692i | \(0.567360\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.06653 | − | 1.78129i | −0.244626 | − | 0.0718287i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −35.5674 | + | 10.4435i | −1.43189 | + | 0.420441i | −0.903510 | − | 0.428567i | \(-0.859019\pi\) |
−0.528381 | + | 0.849008i | \(0.677201\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.46067 | + | 37.9798i | 0.219483 | + | 1.52654i | 0.739954 | + | 0.672657i | \(0.234847\pi\) |
−0.520471 | + | 0.853879i | \(0.674244\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −16.4387 | − | 19.6516i | −0.659664 | − | 0.788590i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −5.25161 | − | 36.5257i | −0.210401 | − | 1.46337i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.959493 | + | 0.281733i | −0.0383797 | + | 0.0112693i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −35.9407 | − | 10.5531i | −1.43533 | − | 0.421452i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −17.1662 | − | 37.5886i | −0.684459 | − | 1.49876i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.2835 | + | 9.82213i | 0.608428 | + | 0.391013i | 0.808267 | − | 0.588816i | \(-0.200406\pi\) |
−0.199839 | + | 0.979829i | \(0.564042\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 1.42126 | − | 9.88506i | 0.0564899 | − | 0.392896i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 5.17051 | + | 5.96709i | 0.205186 | + | 0.236797i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.41225 | + | 0.907597i | −0.0559553 | + | 0.0359603i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 7.82895 | − | 9.03509i | 0.309709 | − | 0.357423i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.26750 | − | 9.34453i | 0.168556 | − | 0.369087i | −0.806437 | − | 0.591320i | \(-0.798607\pi\) |
0.974994 | + | 0.222233i | \(0.0713345\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21.0566 | 0.830391 | 0.415196 | − | 0.909732i | \(-0.363713\pi\) | ||||
0.415196 | + | 0.909732i | \(0.363713\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −7.55373 | −0.297428 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.17975 | + | 2.58328i | −0.0463806 | + | 0.101559i | −0.931404 | − | 0.363988i | \(-0.881415\pi\) |
0.885023 | + | 0.465547i | \(0.154142\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −28.9873 | + | 33.4531i | −1.13785 | + | 1.31315i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 14.0463 | − | 9.02699i | 0.550517 | − | 0.353796i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 27.7218 | + | 31.9927i | 1.08484 | + | 1.25197i | 0.965857 | + | 0.259075i | \(0.0834177\pi\) |
0.118982 | + | 0.992896i | \(0.462037\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.39773 | − | 16.6766i | 0.0936871 | − | 0.651608i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.38948 | − | 0.892966i | −0.0542088 | − | 0.0348379i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 2.13758 | + | 4.68064i | 0.0832682 | + | 0.182332i | 0.946686 | − | 0.322157i | \(-0.104408\pi\) |
−0.863418 | + | 0.504489i | \(0.831681\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.18626 | + | 0.348316i | 0.0461400 | + | 0.0135479i | 0.304721 | − | 0.952442i | \(-0.401437\pi\) |
−0.258581 | + | 0.965990i | \(0.583255\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 36.9177 | − | 10.8400i | 1.43377 | − | 0.420992i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.87344 | + | 19.9852i | 0.111427 | + | 0.774993i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.193145 | + | 1.53201i | 0.00747862 | + | 0.0593195i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.630367 | − | 4.38430i | −0.0243714 | − | 0.169507i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −11.0320 | + | 3.23929i | −0.425886 | + | 0.125051i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −24.4124 | − | 7.16811i | −0.941027 | − | 0.276310i | −0.224981 | − | 0.974363i | \(-0.572232\pi\) |
−0.716046 | + | 0.698053i | \(0.754050\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.21926 | − | 4.85950i | −0.0854193 | − | 0.187042i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −11.4930 | − | 7.38611i | −0.441713 | − | 0.283871i | 0.300821 | − | 0.953681i | \(-0.402739\pi\) |
−0.742533 | + | 0.669809i | \(0.766376\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.40059 | + | 44.5171i | −0.245632 | + | 1.70841i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −6.52718 | − | 7.53276i | −0.250122 | − | 0.288656i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.21549 | + | 3.99446i | −0.237829 | + | 0.152844i | −0.654127 | − | 0.756385i | \(-0.726964\pi\) |
0.416298 | + | 0.909228i | \(0.363327\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.741887 | − | 0.856183i | 0.0283460 | − | 0.0327131i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −6.57410 | + | 14.3953i | −0.250818 | + | 0.549214i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 41.0636 | 1.56440 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −46.7591 | −1.77880 | −0.889399 | − | 0.457131i | \(-0.848877\pi\) | ||||
−0.889399 | + | 0.457131i | \(0.848877\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −8.58729 | + | 18.8035i | −0.326204 | + | 0.714287i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 5.49413 | − | 6.34057i | 0.208404 | − | 0.240511i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −32.8621 | + | 21.1192i | −1.24474 | + | 0.799947i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −9.16217 | − | 10.5737i | −0.346545 | − | 0.399935i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.254790 | − | 1.77210i | 0.00962329 | − | 0.0669314i | −0.984444 | − | 0.175699i | \(-0.943781\pi\) |
0.994067 | + | 0.108768i | \(0.0346905\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 37.0158 | + | 23.7886i | 1.39608 | + | 0.897204i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.606522 | − | 1.32810i | −0.0228430 | − | 0.0500191i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −6.68850 | − | 1.96392i | −0.251547 | − | 0.0738608i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 37.9605 | − | 11.1462i | 1.42564 | − | 0.418604i | 0.524229 | − | 0.851578i | \(-0.324354\pi\) |
0.901407 | + | 0.432973i | \(0.142536\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.277494 | + | 1.93001i | 0.0104068 | + | 0.0723812i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −17.4261 | + | 19.4180i | −0.652611 | + | 0.727211i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.06898 | + | 21.3452i | 0.114773 | + | 0.798265i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −17.6682 | + | 5.18785i | −0.659830 | + | 0.193744i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 32.9258 | + | 9.66790i | 1.22793 | + | 0.360552i | 0.830467 | − | 0.557068i | \(-0.188074\pi\) |
0.397460 | + | 0.917620i | \(0.369892\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.00542697 | − | 0.0118834i | −0.000202111 | − | 0.000442561i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 27.3959 | + | 17.6063i | 1.01886 | + | 0.654784i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.0458217 | + | 0.318697i | −0.00170178 | + | 0.0118361i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −20.4288 | − | 23.5761i | −0.757663 | − | 0.874389i | 0.237625 | − | 0.971357i | \(-0.423631\pi\) |
−0.995288 | + | 0.0969677i | \(0.969086\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 16.5630 | − | 10.6444i | 0.613443 | − | 0.394236i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −30.5620 | + | 35.2704i | −1.13037 | + | 1.30452i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 20.5465 | − | 44.9906i | 0.758903 | − | 1.66177i | 0.00923020 | − | 0.999957i | \(-0.497062\pi\) |
0.749673 | − | 0.661809i | \(-0.230211\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.391426 | −0.0144380 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 52.1980 | 1.92274 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.7540 | + | 23.5480i | −0.395593 | + | 0.866227i | 0.602106 | + | 0.798416i | \(0.294329\pi\) |
−0.997698 | + | 0.0678105i | \(0.978399\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −26.8294 | + | 30.9628i | −0.985604 | + | 1.13745i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −7.83569 | + | 5.03569i | −0.287464 | + | 0.184742i | −0.676423 | − | 0.736513i | \(-0.736471\pi\) |
0.388960 | + | 0.921255i | \(0.372835\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −10.0015 | − | 11.5423i | −0.366426 | − | 0.422879i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.71842 | + | 11.9519i | −0.0628738 | + | 0.437297i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 22.6238 | + | 14.5394i | 0.826656 | + | 0.531260i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12.9178 | + | 28.2860i | 0.471377 | + | 1.03217i | 0.984745 | + | 0.174003i | \(0.0556702\pi\) |
−0.513368 | + | 0.858168i | \(0.671603\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −16.3048 | − | 4.78753i | −0.594181 | − | 0.174467i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 9.23205 | − | 2.71077i | 0.335989 | − | 0.0986552i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.460783 | + | 3.20482i | 0.0167475 | + | 0.116481i | 0.996480 | − | 0.0838277i | \(-0.0267145\pi\) |
−0.979733 | + | 0.200309i | \(0.935805\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −3.84630 | + | 23.8055i | −0.139612 | + | 0.864084i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.15077 | − | 8.00380i | −0.0417155 | − | 0.290138i | −0.999991 | − | 0.00429075i | \(-0.998634\pi\) |
0.958275 | − | 0.285847i | \(-0.0922749\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.32109 | + | 1.56241i | −0.192636 | + | 0.0565631i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −11.5307 | − | 3.38571i | −0.416892 | − | 0.122410i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 20.1122 | + | 44.0395i | 0.726208 | + | 1.59017i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 16.8031 | + | 10.7987i | 0.605934 | + | 0.389410i | 0.807330 | − | 0.590100i | \(-0.200912\pi\) |
−0.201396 | + | 0.979510i | \(0.564548\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.19027 | − | 22.1888i | 0.114895 | − | 0.799110i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 27.1718 | + | 31.3580i | 0.977302 | + | 1.12787i | 0.991778 | + | 0.127972i | \(0.0408468\pi\) |
−0.0144753 | + | 0.999895i | \(0.504608\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.57667 | + | 2.94125i | −0.164399 | + | 0.105653i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −11.8709 | + | 13.6998i | −0.425867 | + | 0.491477i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 17.2791 | − | 37.8359i | 0.619087 | − | 1.35561i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −30.9045 | −1.10585 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.72007 | −0.0614704 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.05518 | + | 2.31052i | −0.0376609 | + | 0.0824659i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.51234 | − | 1.74533i | 0.0539091 | − | 0.0622144i | −0.728155 | − | 0.685413i | \(-0.759622\pi\) |
0.782064 | + | 0.623199i | \(0.214167\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −10.9558 | + | 7.04089i | −0.390038 | + | 0.250662i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −27.7727 | − | 32.0514i | −0.987485 | − | 1.13962i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.78970 | + | 12.4476i | −0.0635541 | + | 0.442029i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 8.05471 | + | 5.17645i | 0.285671 | + | 0.183590i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 20.1180 | + | 44.0522i | 0.712616 | + | 1.56041i | 0.823972 | + | 0.566630i | \(0.191753\pi\) |
−0.111356 | + | 0.993781i | \(0.535520\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −8.65520 | − | 2.54140i | −0.306199 | − | 0.0899081i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −22.4395 | + | 6.58884i | −0.792862 | + | 0.232805i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.607636 | + | 4.22620i | 0.0214430 | + | 0.149139i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.5334 | − | 3.44459i | 0.441743 | − | 0.121406i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.24168 | − | 15.5912i | −0.0789110 | − | 0.548838i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 11.2803 | − | 3.31220i | 0.396595 | − | 0.116451i | −0.0773525 | − | 0.997004i | \(-0.524647\pi\) |
0.473948 | + | 0.880553i | \(0.342829\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.3933 | − | 4.22626i | −0.505417 | − | 0.148404i | 0.0190767 | − | 0.999818i | \(-0.493927\pi\) |
−0.524494 | + | 0.851414i | \(0.675746\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.12278 | + | 2.45854i | 0.0393775 | + | 0.0862247i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −6.80033 | − | 4.37031i | −0.238205 | − | 0.153085i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.07215 | − | 49.1879i | 0.247423 | − | 1.72087i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 14.8061 | + | 17.0871i | 0.517367 | + | 0.597073i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −11.1074 | + | 7.13831i | −0.387652 | + | 0.249129i | −0.719921 | − | 0.694056i | \(-0.755822\pi\) |
0.332269 | + | 0.943185i | \(0.392186\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 18.2012 | − | 21.0053i | 0.634455 | − | 0.732200i | −0.343929 | − | 0.938996i | \(-0.611758\pi\) |
0.978384 | + | 0.206796i | \(0.0663035\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.08877 | + | 4.57377i | −0.0727217 | + | 0.159238i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 3.32327 | 0.115562 | 0.0577808 | − | 0.998329i | \(-0.481598\pi\) | ||||
0.0577808 | + | 0.998329i | \(0.481598\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 4.46963 | 0.155237 | 0.0776183 | − | 0.996983i | \(-0.475268\pi\) | ||||
0.0776183 | + | 0.996983i | \(0.475268\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 3.45849 | − | 7.57303i | 0.119974 | − | 0.262706i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.58369 | + | 1.82767i | −0.0548715 | + | 0.0633251i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 16.5710 | − | 10.6496i | 0.573464 | − | 0.368543i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −19.0326 | − | 21.9648i | −0.657862 | − | 0.759213i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 4.87456 | − | 33.9033i | 0.168289 | − | 1.17047i | −0.714132 | − | 0.700011i | \(-0.753178\pi\) |
0.882420 | − | 0.470462i | \(-0.155913\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −24.3091 | − | 15.6225i | −0.838246 | − | 0.538708i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −4.99746 | − | 10.9429i | −0.172122 | − | 0.376894i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 10.1576 | + | 2.98253i | 0.349430 | + | 0.102602i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 22.6668 | − | 6.65557i | 0.778840 | − | 0.228688i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 2.72088 | + | 18.9242i | 0.0933804 | + | 0.649475i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 12.2133 | − | 25.5579i | 0.418668 | − | 0.876114i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.35108 | + | 44.1727i | 0.217457 | + | 1.51245i | 0.747378 | + | 0.664399i | \(0.231312\pi\) |
−0.529922 | + | 0.848047i | \(0.677779\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 12.2779 | − | 3.60511i | 0.419895 | − | 0.123292i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −17.7755 | − | 5.21936i | −0.607200 | − | 0.178290i | −0.0363426 | − | 0.999339i | \(-0.511571\pi\) |
−0.570857 | + | 0.821049i | \(0.693389\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −8.45358 | − | 18.5108i | −0.288433 | − | 0.631579i | 0.708841 | − | 0.705368i | \(-0.249218\pi\) |
−0.997274 | + | 0.0737888i | \(0.976491\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 14.4159 | + | 9.26451i | 0.491291 | + | 0.315734i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 2.38564 | − | 16.5925i | 0.0812083 | − | 0.564816i | −0.908075 | − | 0.418807i | \(-0.862448\pi\) |
0.989283 | − | 0.146008i | \(-0.0466427\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −17.1164 | − | 19.7534i | −0.581976 | − | 0.671637i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 30.4343 | − | 19.5590i | 1.03360 | − | 0.664257i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.30081 | − | 3.80933i | 0.111972 | − | 0.129223i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 23.7167 | − | 51.9323i | 0.803609 | − | 1.75966i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 28.5036 | 0.964701 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.71029 | 0.0916245 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5.62932 | + | 12.3265i | −0.190089 | + | 0.416236i | −0.980548 | − | 0.196278i | \(-0.937115\pi\) |
0.790460 | + | 0.612514i | \(0.209842\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 20.8506 | − | 24.0629i | 0.703274 | − | 0.811622i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −40.0369 | + | 25.7301i | −1.34888 | + | 0.866871i | −0.997589 | − | 0.0693969i | \(-0.977893\pi\) |
−0.351288 | + | 0.936268i | \(0.614256\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.54024 | + | 5.23971i | 0.152791 | + | 0.176330i | 0.826985 | − | 0.562224i | \(-0.190054\pi\) |
−0.674194 | + | 0.738555i | \(0.735509\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1.60654 | + | 11.1737i | −0.0540033 | + | 0.375601i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −14.2096 | − | 9.13196i | −0.477112 | − | 0.306621i | 0.279892 | − | 0.960031i | \(-0.409701\pi\) |
−0.757004 | + | 0.653410i | \(0.773338\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −8.88960 | − | 19.4655i | −0.298148 | − | 0.652852i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.81928 | − | 1.12144i | −0.127951 | − | 0.0375697i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 9.21608 | − | 2.70609i | 0.308405 | − | 0.0905557i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.64957 | + | 18.4282i | 0.0885654 | + | 0.615986i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 21.9367 | + | 14.6430i | 0.732444 | + | 0.488914i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.249284 | + | 1.73381i | 0.00831408 | + | 0.0578257i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 56.7591 | − | 16.6660i | 1.89092 | − | 0.555224i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 19.6435 | + | 5.76785i | 0.653695 | + | 0.191942i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 10.4897 | + | 22.9692i | 0.348688 | + | 0.763520i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 41.8395 | + | 26.8886i | 1.38926 | + | 0.892823i | 0.999604 | − | 0.0281380i | \(-0.00895778\pi\) |
0.389655 | + | 0.920961i | \(0.372594\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −0.628734 | + | 4.37294i | −0.0208538 | + | 0.145041i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −6.24051 | − | 7.20193i | −0.206757 | − | 0.238611i | 0.642895 | − | 0.765955i | \(-0.277733\pi\) |
−0.849652 | + | 0.527344i | \(0.823188\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 26.2588 | − | 16.8755i | 0.869038 | − | 0.558497i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −1.92019 | + | 2.21602i | −0.0634796 | + | 0.0732593i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −18.9692 | + | 41.5366i | −0.626417 | + | 1.37166i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −39.4945 | −1.30280 | −0.651402 | − | 0.758733i | \(-0.725819\pi\) | ||||
−0.651402 | + | 0.758733i | \(0.725819\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.71679 | −0.221326 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −14.0418 | + | 30.7472i | −0.462191 | + | 1.01206i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.86788 | − | 4.46377i | 0.127175 | − | 0.146768i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.00696518 | + | 0.00447625i | −0.000228767 | + | 0.000147019i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 19.9094 | + | 22.9767i | 0.653206 | + | 0.753840i | 0.981652 | − | 0.190683i | \(-0.0610703\pi\) |
−0.328446 | + | 0.944523i | \(0.606525\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.366471 | − | 2.54886i | 0.0120106 | − | 0.0835356i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −9.87401 | − | 6.34564i | −0.323260 | − | 0.207747i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 12.9051 | + | 28.2582i | 0.422042 | + | 0.924144i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 11.2033 | + | 3.28960i | 0.365997 | + | 0.107466i | 0.459560 | − | 0.888147i | \(-0.348007\pi\) |
−0.0935623 | + | 0.995613i | \(0.529825\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −8.58710 | + | 2.52140i | −0.280229 | + | 0.0822827i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 4.35860 | + | 30.3147i | 0.142086 | + | 0.988232i | 0.928712 | + | 0.370802i | \(0.120917\pi\) |
−0.786626 | + | 0.617430i | \(0.788174\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −25.5575 | − | 7.98960i | −0.832268 | − | 0.260177i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 2.06059 | + | 14.3317i | 0.0670310 | + | 0.466211i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −19.9225 | + | 5.84976i | −0.647393 | + | 0.190092i | −0.588912 | − | 0.808197i | \(-0.700444\pi\) |
−0.0584805 | + | 0.998289i | \(0.518626\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.48077 | + | 1.31567i | 0.145452 | + | 0.0427086i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 3.91360 | + | 8.56959i | 0.126907 | + | 0.277888i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 33.7870 | + | 21.7136i | 1.09447 | + | 0.703371i | 0.957855 | − | 0.287254i | \(-0.0927422\pi\) |
0.136612 | + | 0.990625i | \(0.456379\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.685069 | + | 4.76476i | −0.0221683 | + | 0.154184i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.06018 | + | 1.22351i | 0.0342707 | + | 0.0395505i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.58304 | + | 1.66002i | −0.0834107 | + | 0.0536048i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.918860 | − | 1.06042i | 0.0296407 | − | 0.0342071i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 7.08029 | − | 15.5037i | 0.228159 | − | 0.499599i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 5.61585 | 0.180781 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.9215 | 0.544159 | 0.272080 | − | 0.962275i | \(-0.412289\pi\) | ||||
0.272080 | + | 0.962275i | \(0.412289\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −24.5178 | + | 53.6864i | −0.787624 | + | 1.72466i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 18.1734 | − | 20.9732i | 0.583211 | − | 0.673061i | −0.385081 | − | 0.922883i | \(-0.625827\pi\) |
0.968292 | + | 0.249822i | \(0.0803720\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −19.1290 | + | 12.2935i | −0.613248 | + | 0.394111i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 3.60143 | + | 4.15628i | 0.115338 | + | 0.133107i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 4.19046 | − | 29.1453i | 0.134065 | − | 0.932441i | −0.806114 | − | 0.591760i | \(-0.798433\pi\) |
0.940179 | − | 0.340681i | \(-0.110658\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 50.8588 | + | 32.6850i | 1.62546 | + | 1.04462i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.46006 | + | 3.19709i | 0.0466161 | + | 0.102075i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −8.62597 | − | 2.53281i | −0.275126 | − | 0.0807842i | 0.141259 | − | 0.989973i | \(-0.454885\pi\) |
−0.416385 | + | 0.909188i | \(0.636703\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 20.8806 | − | 6.13110i | 0.665311 | − | 0.195353i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.563158 | + | 3.91685i | 0.0179255 | + | 0.124675i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −31.9863 | − | 0.556230i | −1.01710 | − | 0.0176871i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.17644 | − | 42.9581i | −0.196201 | − | 1.36461i | −0.815183 | − | 0.579204i | \(-0.803363\pi\) |
0.618981 | − | 0.785406i | \(-0.287546\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 11.8757 | − | 3.48702i | 0.376864 | − | 0.110657i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 23.5779 | + | 6.92309i | 0.747469 | + | 0.219477i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −9.56939 | − | 20.9540i | −0.303066 | − | 0.663621i | 0.695422 | − | 0.718602i | \(-0.255218\pi\) |
−0.998487 | + | 0.0549805i | \(0.982490\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 26.5446 | + | 17.0592i | 0.839835 | + | 0.539729i |
(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 | 920.2.y.c.601.4 | ✓ | 60 | |
23.8 | even | 11 | inner | 920.2.y.c.721.4 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.y.c.601.4 | ✓ | 60 | 1.1 | even | 1 | trivial | |
920.2.y.c.721.4 | yes | 60 | 23.8 | even | 11 | inner |