Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), degree \(6\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.15 | ||
Character | \(\chi\) | \(=\) | 570.59 |
Dual form | 570.2.bf.a.29.15 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | − | 0.173648i | −0.696364 | − | 0.122788i | ||||
\(3\) | 1.27828 | + | 1.16876i | 0.738016 | + | 0.674783i | ||||
\(4\) | 0.939693 | + | 0.342020i | 0.469846 | + | 0.171010i | ||||
\(5\) | 2.18139 | − | 0.491467i | 0.975547 | − | 0.219791i | ||||
\(6\) | −1.05591 | − | 1.37297i | −0.431073 | − | 0.560514i | ||||
\(7\) | −3.69762 | + | 2.13482i | −1.39757 | + | 0.806886i | −0.994137 | − | 0.108125i | \(-0.965515\pi\) |
−0.403430 | + | 0.915011i | \(0.632182\pi\) | |||||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | 0.268009 | + | 2.98800i | 0.0893362 | + | 0.996002i | ||||
\(10\) | −2.23359 | + | 0.105206i | −0.706324 | + | 0.0332690i | ||||
\(11\) | −2.36199 | − | 1.36370i | −0.712168 | − | 0.411171i | 0.0996951 | − | 0.995018i | \(-0.468213\pi\) |
−0.811863 | + | 0.583848i | \(0.801547\pi\) | |||||||
\(12\) | 0.801453 | + | 1.53547i | 0.231360 | + | 0.443252i | ||||
\(13\) | −2.74838 | + | 2.30617i | −0.762265 | + | 0.639616i | −0.938715 | − | 0.344693i | \(-0.887983\pi\) |
0.176451 | + | 0.984310i | \(0.443538\pi\) | |||||||
\(14\) | 4.01215 | − | 1.46030i | 1.07229 | − | 0.390282i | ||||
\(15\) | 3.36284 | + | 1.92128i | 0.868281 | + | 0.496073i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −1.27551 | + | 7.23376i | −0.309356 | + | 1.75444i | 0.292903 | + | 0.956142i | \(0.405379\pi\) |
−0.602258 | + | 0.798301i | \(0.705732\pi\) | |||||||
\(18\) | 0.254925 | − | 2.98915i | 0.0600863 | − | 0.704549i | ||||
\(19\) | 0.726170 | + | 4.29799i | 0.166595 | + | 0.986025i | ||||
\(20\) | 2.21793 | + | 0.284252i | 0.495944 | + | 0.0635606i | ||||
\(21\) | −7.22168 | − | 1.59272i | −1.57590 | − | 0.347559i | ||||
\(22\) | 2.08931 | + | 1.75314i | 0.445442 | + | 0.373770i | ||||
\(23\) | −0.504945 | − | 0.183785i | −0.105288 | − | 0.0383218i | 0.288839 | − | 0.957378i | \(-0.406731\pi\) |
−0.394127 | + | 0.919056i | \(0.628953\pi\) | |||||||
\(24\) | −0.522645 | − | 1.65132i | −0.106685 | − | 0.337073i | ||||
\(25\) | 4.51692 | − | 2.14416i | 0.903384 | − | 0.428832i | ||||
\(26\) | 3.10709 | − | 1.79388i | 0.609351 | − | 0.351809i | ||||
\(27\) | −3.14966 | + | 4.13275i | −0.606153 | + | 0.795348i | ||||
\(28\) | −4.20477 | + | 0.741415i | −0.794627 | + | 0.140114i | ||||
\(29\) | −1.17349 | − | 6.65518i | −0.217911 | − | 1.23584i | −0.875782 | − | 0.482706i | \(-0.839654\pi\) |
0.657871 | − | 0.753131i | \(-0.271457\pi\) | |||||||
\(30\) | −2.97812 | − | 2.47605i | −0.543728 | − | 0.452062i | ||||
\(31\) | 6.25425 | − | 3.61089i | 1.12330 | − | 0.648535i | 0.181055 | − | 0.983473i | \(-0.442049\pi\) |
0.942240 | + | 0.334938i | \(0.108715\pi\) | |||||||
\(32\) | −0.642788 | − | 0.766044i | −0.113630 | − | 0.135419i | ||||
\(33\) | −1.42546 | − | 4.50379i | −0.248141 | − | 0.784009i | ||||
\(34\) | 2.51226 | − | 6.90237i | 0.430849 | − | 1.18375i | ||||
\(35\) | −7.01675 | + | 6.47413i | −1.18605 | + | 1.09433i | ||||
\(36\) | −0.770112 | + | 2.89947i | −0.128352 | + | 0.483245i | ||||
\(37\) | 7.30610 | 1.20112 | 0.600558 | − | 0.799581i | \(-0.294945\pi\) | ||||
0.600558 | + | 0.799581i | \(0.294945\pi\) | |||||||
\(38\) | 0.0311996 | − | 4.35879i | 0.00506125 | − | 0.707089i | ||||
\(39\) | −6.20856 | − | 0.264264i | −0.994166 | − | 0.0423161i | ||||
\(40\) | −2.13487 | − | 0.665072i | −0.337553 | − | 0.105157i | ||||
\(41\) | 4.84829 | + | 4.06820i | 0.757175 | + | 0.635346i | 0.937390 | − | 0.348282i | \(-0.113235\pi\) |
−0.180215 | + | 0.983627i | \(0.557679\pi\) | |||||||
\(42\) | 6.83540 | + | 2.82255i | 1.05472 | + | 0.435529i | ||||
\(43\) | −0.172212 | − | 0.473148i | −0.0262621 | − | 0.0721545i | 0.925869 | − | 0.377845i | \(-0.123335\pi\) |
−0.952131 | + | 0.305691i | \(0.901113\pi\) | |||||||
\(44\) | −1.75314 | − | 2.08931i | −0.264295 | − | 0.314975i | ||||
\(45\) | 2.05314 | + | 6.38628i | 0.306063 | + | 0.952011i | ||||
\(46\) | 0.465360 | + | 0.268675i | 0.0686135 | + | 0.0396140i | ||||
\(47\) | −0.399001 | − | 2.26285i | −0.0582003 | − | 0.330070i | 0.941781 | − | 0.336228i | \(-0.109151\pi\) |
−0.999981 | + | 0.00615731i | \(0.998040\pi\) | |||||||
\(48\) | 0.227957 | + | 1.71698i | 0.0329028 | + | 0.247825i | ||||
\(49\) | 5.61490 | − | 9.72530i | 0.802129 | − | 1.38933i | ||||
\(50\) | −4.82063 | + | 1.32723i | −0.681740 | + | 0.187699i | ||||
\(51\) | −10.0850 | + | 7.75602i | −1.41218 | + | 1.08606i | ||||
\(52\) | −3.37139 | + | 1.22709i | −0.467528 | + | 0.170166i | ||||
\(53\) | 0.105929 | − | 0.291038i | 0.0145505 | − | 0.0399771i | −0.932205 | − | 0.361931i | \(-0.882117\pi\) |
0.946755 | + | 0.321954i | \(0.104340\pi\) | |||||||
\(54\) | 3.81946 | − | 3.52303i | 0.519762 | − | 0.479424i | ||||
\(55\) | −5.82264 | − | 1.81392i | −0.785125 | − | 0.244588i | ||||
\(56\) | 4.26964 | 0.570554 | ||||||||
\(57\) | −4.09506 | + | 6.34275i | −0.542403 | + | 0.840118i | ||||
\(58\) | 6.75785i | 0.887349i | ||||||||
\(59\) | −1.70470 | + | 9.66782i | −0.221933 | + | 1.25864i | 0.646530 | + | 0.762888i | \(0.276219\pi\) |
−0.868463 | + | 0.495754i | \(0.834892\pi\) | |||||||
\(60\) | 2.50291 | + | 2.95557i | 0.323125 | + | 0.381563i | ||||
\(61\) | 1.45796 | + | 0.530655i | 0.186673 | + | 0.0679435i | 0.433665 | − | 0.901074i | \(-0.357220\pi\) |
−0.246992 | + | 0.969017i | \(0.579442\pi\) | |||||||
\(62\) | −6.78625 | + | 2.46999i | −0.861855 | + | 0.313690i | ||||
\(63\) | −7.36984 | − | 10.4763i | −0.928513 | − | 1.31989i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −4.86189 | + | 6.38139i | −0.603044 | + | 0.791514i | ||||
\(66\) | 0.621730 | + | 4.68290i | 0.0765297 | + | 0.576425i | ||||
\(67\) | 0.976649 | + | 5.53885i | 0.119317 | + | 0.676679i | 0.984522 | + | 0.175261i | \(0.0560769\pi\) |
−0.865205 | + | 0.501418i | \(0.832812\pi\) | |||||||
\(68\) | −3.67267 | + | 6.36126i | −0.445377 | + | 0.771416i | ||||
\(69\) | −0.430662 | − | 0.825087i | −0.0518456 | − | 0.0993288i | ||||
\(70\) | 8.03437 | − | 5.15732i | 0.960291 | − | 0.616418i | ||||
\(71\) | −2.79006 | + | 1.01550i | −0.331119 | + | 0.120517i | −0.502229 | − | 0.864734i | \(-0.667487\pi\) |
0.171111 | + | 0.985252i | \(0.445264\pi\) | |||||||
\(72\) | 1.26190 | − | 2.72169i | 0.148716 | − | 0.320755i | ||||
\(73\) | 8.13201 | − | 9.69135i | 0.951780 | − | 1.13429i | −0.0390588 | − | 0.999237i | \(-0.512436\pi\) |
0.990839 | − | 0.135050i | \(-0.0431196\pi\) | |||||||
\(74\) | −7.19510 | − | 1.26869i | −0.836414 | − | 0.147482i | ||||
\(75\) | 8.27990 | + | 2.53835i | 0.956081 | + | 0.293103i | ||||
\(76\) | −0.787621 | + | 4.28715i | −0.0903463 | + | 0.491770i | ||||
\(77\) | 11.6450 | 1.32707 | ||||||||
\(78\) | 6.06835 | + | 1.33835i | 0.687106 | + | 0.151539i | ||||
\(79\) | −9.01228 | + | 10.7404i | −1.01396 | + | 1.20839i | −0.0360534 | + | 0.999350i | \(0.511479\pi\) |
−0.977907 | + | 0.209041i | \(0.932966\pi\) | |||||||
\(80\) | 1.98695 | + | 1.02568i | 0.222148 | + | 0.114675i | ||||
\(81\) | −8.85634 | + | 1.60162i | −0.984038 | + | 0.177958i | ||||
\(82\) | −4.06820 | − | 4.84829i | −0.449257 | − | 0.535404i | ||||
\(83\) | −7.26919 | − | 12.5906i | −0.797897 | − | 1.38200i | −0.920983 | − | 0.389602i | \(-0.872612\pi\) |
0.123086 | − | 0.992396i | \(-0.460721\pi\) | |||||||
\(84\) | −6.24142 | − | 3.96663i | −0.680995 | − | 0.432794i | ||||
\(85\) | 0.772774 | + | 16.4065i | 0.0838191 | + | 1.77954i | ||||
\(86\) | 0.0874343 | + | 0.495865i | 0.00942828 | + | 0.0534704i | ||||
\(87\) | 6.27825 | − | 9.87872i | 0.673099 | − | 1.05911i | ||||
\(88\) | 1.36370 | + | 2.36199i | 0.145371 | + | 0.251789i | ||||
\(89\) | 7.27212 | − | 6.10204i | 0.770844 | − | 0.646815i | −0.170081 | − | 0.985430i | \(-0.554403\pi\) |
0.940925 | + | 0.338615i | \(0.109959\pi\) | |||||||
\(90\) | −0.912978 | − | 6.64579i | −0.0962363 | − | 0.700527i | ||||
\(91\) | 5.23922 | − | 14.3946i | 0.549219 | − | 1.50897i | ||||
\(92\) | −0.411635 | − | 0.345403i | −0.0429159 | − | 0.0360107i | ||||
\(93\) | 12.2149 | + | 2.69397i | 1.26663 | + | 0.279351i | ||||
\(94\) | 2.29776i | 0.236995i | ||||||||
\(95\) | 3.69638 | + | 9.01869i | 0.379240 | + | 0.925298i | ||||
\(96\) | 0.0736570 | − | 1.73048i | 0.00751759 | − | 0.176617i | ||||
\(97\) | −0.308725 | + | 1.75087i | −0.0313463 | + | 0.177773i | −0.996461 | − | 0.0840527i | \(-0.973214\pi\) |
0.965115 | + | 0.261826i | \(0.0843247\pi\) | |||||||
\(98\) | −7.21838 | + | 8.60253i | −0.729167 | + | 0.868987i | ||||
\(99\) | 3.44170 | − | 7.42313i | 0.345904 | − | 0.746053i | ||||
\(100\) | 4.97786 | − | 0.469974i | 0.497786 | − | 0.0469974i | ||||
\(101\) | 10.3332 | + | 12.3147i | 1.02820 | + | 1.22536i | 0.973934 | + | 0.226830i | \(0.0728360\pi\) |
0.0542615 | + | 0.998527i | \(0.482720\pi\) | |||||||
\(102\) | 11.2786 | − | 5.88695i | 1.11675 | − | 0.582895i | ||||
\(103\) | 4.58536 | − | 7.94208i | 0.451809 | − | 0.782556i | −0.546689 | − | 0.837335i | \(-0.684112\pi\) |
0.998498 | + | 0.0547792i | \(0.0174455\pi\) | |||||||
\(104\) | 3.53326 | − | 0.623008i | 0.346464 | − | 0.0610910i | ||||
\(105\) | −16.5361 | + | 0.0748782i | −1.61375 | + | 0.00730736i | ||||
\(106\) | −0.154858 | + | 0.268222i | −0.0150411 | + | 0.0260520i | ||||
\(107\) | 4.50190 | − | 2.59917i | 0.435215 | − | 0.251272i | −0.266351 | − | 0.963876i | \(-0.585818\pi\) |
0.701566 | + | 0.712605i | \(0.252485\pi\) | |||||||
\(108\) | −4.37320 | + | 2.80627i | −0.420811 | + | 0.270033i | ||||
\(109\) | 0.493837 | + | 1.35681i | 0.0473010 | + | 0.129958i | 0.961094 | − | 0.276222i | \(-0.0890826\pi\) |
−0.913793 | + | 0.406181i | \(0.866860\pi\) | |||||||
\(110\) | 5.41920 | + | 2.79745i | 0.516701 | + | 0.266726i | ||||
\(111\) | 9.33925 | + | 8.53906i | 0.886443 | + | 0.810492i | ||||
\(112\) | −4.20477 | − | 0.741415i | −0.397314 | − | 0.0700571i | ||||
\(113\) | 8.31139i | 0.781870i | 0.920418 | + | 0.390935i | \(0.127848\pi\) | ||||
−0.920418 | + | 0.390935i | \(0.872152\pi\) | |||||||
\(114\) | 5.13425 | − | 5.53529i | 0.480867 | − | 0.518428i | ||||
\(115\) | −1.19181 | − | 0.152743i | −0.111136 | − | 0.0142433i | ||||
\(116\) | 1.17349 | − | 6.65518i | 0.108956 | − | 0.617918i | ||||
\(117\) | −7.62743 | − | 7.59411i | −0.705157 | − | 0.702076i | ||||
\(118\) | 3.35760 | − | 9.22492i | 0.309092 | − | 0.849223i | ||||
\(119\) | −10.7264 | − | 29.4706i | −0.983290 | − | 2.70157i | ||||
\(120\) | −1.95166 | − | 3.34530i | −0.178161 | − | 0.305383i | ||||
\(121\) | −1.78065 | − | 3.08418i | −0.161878 | − | 0.280380i | ||||
\(122\) | −1.34367 | − | 0.775766i | −0.121650 | − | 0.0702346i | ||||
\(123\) | 1.44274 | + | 10.8668i | 0.130087 | + | 0.979824i | ||||
\(124\) | 7.11207 | − | 1.25405i | 0.638682 | − | 0.112617i | ||||
\(125\) | 8.79938 | − | 6.89717i | 0.787041 | − | 0.616901i | ||||
\(126\) | 5.43868 | + | 11.5969i | 0.484516 | + | 1.03314i | ||||
\(127\) | 3.89943 | − | 3.27201i | 0.346018 | − | 0.290344i | −0.453171 | − | 0.891424i | \(-0.649707\pi\) |
0.799189 | + | 0.601080i | \(0.205263\pi\) | |||||||
\(128\) | −0.342020 | − | 0.939693i | −0.0302306 | − | 0.0830579i | ||||
\(129\) | 0.332861 | − | 0.806091i | 0.0293067 | − | 0.0709724i | ||||
\(130\) | 5.89615 | − | 5.44019i | 0.517126 | − | 0.477136i | ||||
\(131\) | −8.06344 | − | 1.42180i | −0.704506 | − | 0.124223i | −0.190093 | − | 0.981766i | \(-0.560879\pi\) |
−0.514413 | + | 0.857543i | \(0.671990\pi\) | |||||||
\(132\) | 0.200892 | − | 4.71972i | 0.0174854 | − | 0.410799i | ||||
\(133\) | −11.8605 | − | 14.3421i | −1.02844 | − | 1.24361i | ||||
\(134\) | − | 5.62430i | − | 0.485865i | ||||||
\(135\) | −4.83954 | + | 10.5631i | −0.416521 | + | 0.909126i | ||||
\(136\) | 4.72150 | − | 5.62686i | 0.404865 | − | 0.482500i | ||||
\(137\) | −18.6166 | − | 6.77588i | −1.59052 | − | 0.578902i | −0.613064 | − | 0.790034i | \(-0.710063\pi\) |
−0.977458 | + | 0.211131i | \(0.932285\pi\) | |||||||
\(138\) | 0.280844 | + | 0.887336i | 0.0239070 | + | 0.0755350i | ||||
\(139\) | 4.71577 | − | 3.95700i | 0.399986 | − | 0.335628i | −0.420502 | − | 0.907292i | \(-0.638146\pi\) |
0.820488 | + | 0.571663i | \(0.193702\pi\) | |||||||
\(140\) | −8.80787 | + | 3.68382i | −0.744401 | + | 0.311340i | ||||
\(141\) | 2.13469 | − | 3.35889i | 0.179773 | − | 0.282870i | ||||
\(142\) | 2.92401 | − | 0.515582i | 0.245377 | − | 0.0432666i | ||||
\(143\) | 9.63659 | − | 1.69919i | 0.805852 | − | 0.142093i | ||||
\(144\) | −1.71535 | + | 2.46122i | −0.142945 | + | 0.205101i | ||||
\(145\) | −5.83064 | − | 13.9408i | −0.484208 | − | 1.15772i | ||||
\(146\) | −9.69135 | + | 8.13201i | −0.802062 | + | 0.673010i | ||||
\(147\) | 18.5440 | − | 5.86921i | 1.52948 | − | 0.484084i | ||||
\(148\) | 6.86549 | + | 2.49883i | 0.564340 | + | 0.205403i | ||||
\(149\) | 11.3740 | − | 13.5550i | 0.931792 | − | 1.11047i | −0.0618727 | − | 0.998084i | \(-0.519707\pi\) |
0.993665 | − | 0.112383i | \(-0.0358483\pi\) | |||||||
\(150\) | −7.71333 | − | 3.93757i | −0.629791 | − | 0.321502i | ||||
\(151\) | − | 9.98470i | − | 0.812544i | −0.913752 | − | 0.406272i | \(-0.866829\pi\) | ||
0.913752 | − | 0.406272i | \(-0.133171\pi\) | |||||||
\(152\) | 1.52011 | − | 4.08525i | 0.123297 | − | 0.331357i | ||||
\(153\) | −21.9563 | − | 1.87251i | −1.77507 | − | 0.151383i | ||||
\(154\) | −11.4681 | − | 2.02213i | −0.924124 | − | 0.162948i | ||||
\(155\) | 11.8683 | − | 10.9505i | 0.953286 | − | 0.879566i | ||||
\(156\) | −5.74376 | − | 2.37178i | −0.459869 | − | 0.189894i | ||||
\(157\) | 2.26812 | + | 6.23161i | 0.181016 | + | 0.497336i | 0.996701 | − | 0.0811593i | \(-0.0258622\pi\) |
−0.815686 | + | 0.578496i | \(0.803640\pi\) | |||||||
\(158\) | 10.7404 | − | 9.01228i | 0.854461 | − | 0.716978i | ||||
\(159\) | 0.475560 | − | 0.248223i | 0.0377144 | − | 0.0196853i | ||||
\(160\) | −1.77866 | − | 1.35513i | −0.140615 | − | 0.107133i | ||||
\(161\) | 2.25944 | − | 0.398400i | 0.178069 | − | 0.0313983i | ||||
\(162\) | 8.99991 | − | 0.0394024i | 0.707100 | − | 0.00309575i | ||||
\(163\) | −2.94967 | − | 1.70300i | −0.231036 | − | 0.133389i | 0.380014 | − | 0.924981i | \(-0.375919\pi\) |
−0.611050 | + | 0.791592i | \(0.709253\pi\) | |||||||
\(164\) | 3.16450 | + | 5.48107i | 0.247106 | + | 0.427999i | ||||
\(165\) | −5.32295 | − | 9.12396i | −0.414391 | − | 0.710299i | ||||
\(166\) | 4.97242 | + | 13.6616i | 0.385935 | + | 1.06035i | ||||
\(167\) | −4.22405 | + | 11.6055i | −0.326867 | + | 0.898059i | 0.662033 | + | 0.749475i | \(0.269694\pi\) |
−0.988900 | + | 0.148584i | \(0.952528\pi\) | |||||||
\(168\) | 5.45780 | + | 4.99017i | 0.421078 | + | 0.385000i | ||||
\(169\) | −0.0222211 | + | 0.126022i | −0.00170931 | + | 0.00969400i | ||||
\(170\) | 2.08793 | − | 16.2914i | 0.160137 | − | 1.24950i | ||||
\(171\) | −12.6478 | + | 3.32170i | −0.967200 | + | 0.254016i | ||||
\(172\) | − | 0.503514i | − | 0.0383926i | ||||||
\(173\) | 16.0897 | + | 2.83705i | 1.22328 | + | 0.215697i | 0.747737 | − | 0.663995i | \(-0.231140\pi\) |
0.475543 | + | 0.879692i | \(0.342252\pi\) | |||||||
\(174\) | −7.89829 | + | 8.63844i | −0.598768 | + | 0.654878i | ||||
\(175\) | −12.1244 | + | 17.5711i | −0.916522 | + | 1.32825i | ||||
\(176\) | −0.932825 | − | 2.56291i | −0.0703143 | − | 0.193187i | ||||
\(177\) | −13.4784 | + | 10.3658i | −1.01310 | + | 0.779143i | ||||
\(178\) | −8.22125 | + | 4.74654i | −0.616209 | + | 0.355768i | ||||
\(179\) | −5.85709 | + | 10.1448i | −0.437779 | + | 0.758256i | −0.997518 | − | 0.0704134i | \(-0.977568\pi\) |
0.559739 | + | 0.828669i | \(0.310901\pi\) | |||||||
\(180\) | −0.254921 | + | 6.70336i | −0.0190007 | + | 0.499639i | ||||
\(181\) | −9.45095 | + | 1.66646i | −0.702484 | + | 0.123867i | −0.513470 | − | 0.858108i | \(-0.671640\pi\) |
−0.189014 | + | 0.981974i | \(0.560529\pi\) | |||||||
\(182\) | −7.65922 | + | 13.2662i | −0.567739 | + | 0.983353i | ||||
\(183\) | 1.24348 | + | 2.38233i | 0.0919207 | + | 0.176107i | ||||
\(184\) | 0.345403 | + | 0.411635i | 0.0254634 | + | 0.0303461i | ||||
\(185\) | 15.9374 | − | 3.59070i | 1.17174 | − | 0.263994i | ||||
\(186\) | −11.5616 | − | 4.77414i | −0.847736 | − | 0.350057i | ||||
\(187\) | 12.8774 | − | 15.3467i | 0.941689 | − | 1.12226i | ||||
\(188\) | 0.399001 | − | 2.26285i | 0.0291002 | − | 0.165035i | ||||
\(189\) | 2.82357 | − | 22.0053i | 0.205385 | − | 1.60065i | ||||
\(190\) | −2.07414 | − | 9.52355i | −0.150474 | − | 0.690911i | ||||
\(191\) | 12.5135i | 0.905446i | 0.891651 | + | 0.452723i | \(0.149547\pi\) | ||||
−0.891651 | + | 0.452723i | \(0.850453\pi\) | |||||||
\(192\) | −0.373033 | + | 1.69140i | −0.0269214 | + | 0.122067i | ||||
\(193\) | 9.95556 | + | 8.35371i | 0.716617 | + | 0.601313i | 0.926447 | − | 0.376425i | \(-0.122847\pi\) |
−0.209830 | + | 0.977738i | \(0.567291\pi\) | |||||||
\(194\) | 0.608069 | − | 1.67066i | 0.0436568 | − | 0.119946i | ||||
\(195\) | −13.6732 | + | 2.47484i | −0.979156 | + | 0.177227i | ||||
\(196\) | 8.60253 | − | 7.21838i | 0.614467 | − | 0.515599i | ||||
\(197\) | 0.542222 | + | 0.939155i | 0.0386317 | + | 0.0669121i | 0.884695 | − | 0.466171i | \(-0.154367\pi\) |
−0.846063 | + | 0.533083i | \(0.821033\pi\) | |||||||
\(198\) | −4.67843 | + | 6.71271i | −0.332481 | + | 0.477052i | ||||
\(199\) | −0.142298 | − | 0.807010i | −0.0100872 | − | 0.0572074i | 0.979349 | − | 0.202179i | \(-0.0648022\pi\) |
−0.989436 | + | 0.144971i | \(0.953691\pi\) | |||||||
\(200\) | −4.98385 | − | 0.401563i | −0.352411 | − | 0.0283948i | ||||
\(201\) | −5.22515 | + | 8.22168i | −0.368553 | + | 0.579913i | ||||
\(202\) | −8.03784 | − | 13.9219i | −0.565540 | − | 0.979544i | ||||
\(203\) | 18.5467 | + | 22.1031i | 1.30172 | + | 1.55134i | ||||
\(204\) | −12.1295 | + | 3.83901i | −0.849234 | + | 0.268785i | ||||
\(205\) | 12.5754 | + | 6.49155i | 0.878303 | + | 0.453389i | ||||
\(206\) | −5.89483 | + | 7.02518i | −0.410712 | + | 0.489468i | ||||
\(207\) | 0.413820 | − | 1.55803i | 0.0287625 | − | 0.108291i | ||||
\(208\) | −3.58776 | −0.248767 | ||||||||
\(209\) | 4.14595 | − | 11.1421i | 0.286781 | − | 0.770715i | ||||
\(210\) | 16.2979 | + | 2.79772i | 1.12466 | + | 0.193061i | ||||
\(211\) | −6.01813 | − | 1.06116i | −0.414305 | − | 0.0730532i | −0.0373896 | − | 0.999301i | \(-0.511904\pi\) |
−0.376916 | + | 0.926248i | \(0.623015\pi\) | |||||||
\(212\) | 0.199082 | − | 0.237256i | 0.0136730 | − | 0.0162948i | ||||
\(213\) | −4.75335 | − | 1.96281i | −0.325694 | − | 0.134489i | ||||
\(214\) | −4.88485 | + | 1.77794i | −0.333921 | + | 0.121537i | ||||
\(215\) | −0.608198 | − | 0.947485i | −0.0414788 | − | 0.0646179i | ||||
\(216\) | 4.79406 | − | 2.00423i | 0.326195 | − | 0.136371i | ||||
\(217\) | −15.4172 | + | 26.7034i | −1.04659 | + | 1.81274i | ||||
\(218\) | −0.250728 | − | 1.42195i | −0.0169814 | − | 0.0963064i | ||||
\(219\) | 21.7219 | − | 2.88393i | 1.46783 | − | 0.194878i | ||||
\(220\) | −4.85110 | − | 3.69598i | −0.327061 | − | 0.249183i | ||||
\(221\) | −13.1767 | − | 22.8227i | −0.886359 | − | 1.53522i | ||||
\(222\) | −7.71458 | − | 10.0311i | −0.517768 | − | 0.673242i | ||||
\(223\) | 19.3448 | − | 7.04095i | 1.29543 | − | 0.471497i | 0.399922 | − | 0.916549i | \(-0.369037\pi\) |
0.895505 | + | 0.445052i | \(0.146815\pi\) | |||||||
\(224\) | 4.01215 | + | 1.46030i | 0.268073 | + | 0.0975705i | ||||
\(225\) | 7.61734 | + | 12.9219i | 0.507822 | + | 0.861462i | ||||
\(226\) | 1.44326 | − | 8.18512i | 0.0960041 | − | 0.544466i | ||||
\(227\) | 8.61703i | 0.571932i | 0.958240 | + | 0.285966i | \(0.0923145\pi\) | ||||
−0.958240 | + | 0.285966i | \(0.907686\pi\) | |||||||
\(228\) | −6.01744 | + | 4.55965i | −0.398515 | + | 0.301970i | ||||
\(229\) | 21.4830 | 1.41964 | 0.709818 | − | 0.704385i | \(-0.248777\pi\) | ||||
0.709818 | + | 0.704385i | \(0.248777\pi\) | |||||||
\(230\) | 1.14718 | + | 0.357377i | 0.0756425 | + | 0.0235648i | ||||
\(231\) | 14.8856 | + | 13.6102i | 0.979400 | + | 0.895484i | ||||
\(232\) | −2.31132 | + | 6.35030i | −0.151746 | + | 0.416918i | ||||
\(233\) | 21.1531 | − | 7.69909i | 1.38578 | − | 0.504384i | 0.461858 | − | 0.886954i | \(-0.347183\pi\) |
0.923927 | + | 0.382570i | \(0.124961\pi\) | |||||||
\(234\) | 6.19285 | + | 8.80323i | 0.404839 | + | 0.575485i | ||||
\(235\) | −1.98249 | − | 4.74006i | −0.129324 | − | 0.309207i | ||||
\(236\) | −4.90848 | + | 8.50174i | −0.319515 | + | 0.553416i | ||||
\(237\) | −24.0732 | + | 3.19610i | −1.56372 | + | 0.207609i | ||||
\(238\) | 5.44595 | + | 30.8855i | 0.353009 | + | 2.00201i | ||||
\(239\) | 0.228203 | + | 0.131753i | 0.0147612 | + | 0.00852239i | 0.507362 | − | 0.861733i | \(-0.330621\pi\) |
−0.492601 | + | 0.870255i | \(0.663954\pi\) | |||||||
\(240\) | 1.34110 | + | 3.63338i | 0.0865679 | + | 0.234534i | ||||
\(241\) | 9.70669 | + | 11.5680i | 0.625263 | + | 0.745160i | 0.981966 | − | 0.189058i | \(-0.0605435\pi\) |
−0.356703 | + | 0.934218i | \(0.616099\pi\) | |||||||
\(242\) | 1.21804 | + | 3.34653i | 0.0782985 | + | 0.215123i | ||||
\(243\) | −13.1928 | − | 8.30360i | −0.846319 | − | 0.532676i | ||||
\(244\) | 1.18854 | + | 0.997306i | 0.0760887 | + | 0.0638460i | ||||
\(245\) | 7.46863 | − | 23.9742i | 0.477154 | − | 1.53166i | ||||
\(246\) | 0.466174 | − | 10.9522i | 0.0297222 | − | 0.698288i | ||||
\(247\) | −11.9077 | − | 10.1378i | −0.757667 | − | 0.645056i | ||||
\(248\) | −7.22178 | −0.458584 | ||||||||
\(249\) | 5.42330 | − | 24.5903i | 0.343688 | − | 1.55834i | ||||
\(250\) | −9.86338 | + | 5.26439i | −0.623815 | + | 0.332949i | ||||
\(251\) | −1.00645 | + | 2.76519i | −0.0635263 | + | 0.174537i | −0.967395 | − | 0.253274i | \(-0.918493\pi\) |
0.903868 | + | 0.427811i | \(0.140715\pi\) | |||||||
\(252\) | −3.34227 | − | 12.3652i | −0.210543 | − | 0.778933i | ||||
\(253\) | 0.942050 | + | 1.12269i | 0.0592262 | + | 0.0705830i | ||||
\(254\) | −4.40836 | + | 2.54517i | −0.276605 | + | 0.159698i | ||||
\(255\) | −18.1874 | + | 21.8753i | −1.13894 | + | 1.36989i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 3.19223 | − | 0.562876i | 0.199126 | − | 0.0351113i | −0.0731956 | − | 0.997318i | \(-0.523320\pi\) |
0.272321 | + | 0.962206i | \(0.412209\pi\) | |||||||
\(258\) | −0.467780 | + | 0.736044i | −0.0291227 | + | 0.0458241i | ||||
\(259\) | −27.0151 | + | 15.5972i | −1.67864 | + | 0.969163i | ||||
\(260\) | −6.75125 | + | 4.33368i | −0.418695 | + | 0.268764i | ||||
\(261\) | 19.5712 | − | 5.29004i | 1.21143 | − | 0.327445i | ||||
\(262\) | 7.69404 | + | 2.80040i | 0.475340 | + | 0.173009i | ||||
\(263\) | −17.1316 | − | 14.3751i | −1.05638 | − | 0.886406i | −0.0626278 | − | 0.998037i | \(-0.519948\pi\) |
−0.993750 | + | 0.111631i | \(0.964393\pi\) | |||||||
\(264\) | −1.01741 | + | 4.61313i | −0.0626173 | + | 0.283918i | ||||
\(265\) | 0.0880372 | − | 0.686927i | 0.00540808 | − | 0.0421976i | ||||
\(266\) | 9.18986 | + | 16.1837i | 0.563466 | + | 0.992288i | ||||
\(267\) | 16.4276 | + | 0.699232i | 1.00535 | + | 0.0427923i | ||||
\(268\) | −0.976649 | + | 5.53885i | −0.0596583 | + | 0.338339i | ||||
\(269\) | 3.88845 | + | 3.26280i | 0.237083 | + | 0.198936i | 0.753586 | − | 0.657349i | \(-0.228322\pi\) |
−0.516503 | + | 0.856285i | \(0.672767\pi\) | |||||||
\(270\) | 6.60027 | − | 9.56224i | 0.401680 | − | 0.581939i | ||||
\(271\) | 14.1878 | − | 5.16393i | 0.861846 | − | 0.313686i | 0.126985 | − | 0.991905i | \(-0.459470\pi\) |
0.734860 | + | 0.678218i | \(0.237248\pi\) | |||||||
\(272\) | −5.62686 | + | 4.72150i | −0.341179 | + | 0.286283i | ||||
\(273\) | 23.5210 | − | 12.2770i | 1.42356 | − | 0.743039i | ||||
\(274\) | 17.1571 | + | 9.90567i | 1.03650 | + | 0.598424i | ||||
\(275\) | −13.5929 | − | 1.09522i | −0.819685 | − | 0.0660444i | ||||
\(276\) | −0.122493 | − | 0.922623i | −0.00737322 | − | 0.0555354i | ||||
\(277\) | −4.63324 | − | 2.67500i | −0.278384 | − | 0.160725i | 0.354307 | − | 0.935129i | \(-0.384717\pi\) |
−0.632692 | + | 0.774404i | \(0.718050\pi\) | |||||||
\(278\) | −5.33125 | + | 3.07800i | −0.319747 | + | 0.184606i | ||||
\(279\) | 12.4655 | + | 17.7200i | 0.746293 | + | 1.06087i | ||||
\(280\) | 9.31374 | − | 2.09838i | 0.556603 | − | 0.125402i | ||||
\(281\) | 2.16337 | + | 0.787401i | 0.129056 | + | 0.0469724i | 0.405741 | − | 0.913988i | \(-0.367014\pi\) |
−0.276685 | + | 0.960961i | \(0.589236\pi\) | |||||||
\(282\) | −2.68552 | + | 2.93718i | −0.159920 | + | 0.174907i | ||||
\(283\) | −5.99559 | − | 1.05718i | −0.356401 | − | 0.0628431i | −0.00741870 | − | 0.999972i | \(-0.502361\pi\) |
−0.348982 | + | 0.937129i | \(0.613473\pi\) | |||||||
\(284\) | −2.96912 | −0.176185 | ||||||||
\(285\) | −5.81566 | + | 15.8486i | −0.344490 | + | 0.938790i | ||||
\(286\) | −9.78525 | −0.578614 | ||||||||
\(287\) | −26.6120 | − | 4.69241i | −1.57085 | − | 0.276984i | ||||
\(288\) | 2.11667 | − | 2.12596i | 0.124726 | − | 0.125273i | ||||
\(289\) | −34.7255 | − | 12.6391i | −2.04268 | − | 0.743474i | ||||
\(290\) | 3.32126 | + | 14.7415i | 0.195031 | + | 0.865651i | ||||
\(291\) | −2.44098 | + | 1.87728i | −0.143093 | + | 0.110048i | ||||
\(292\) | 10.9562 | − | 6.32558i | 0.641165 | − | 0.370177i | ||||
\(293\) | 13.1953 | + | 7.61833i | 0.770879 | + | 0.445067i | 0.833188 | − | 0.552990i | \(-0.186513\pi\) |
−0.0623090 | + | 0.998057i | \(0.519846\pi\) | |||||||
\(294\) | −19.2814 | + | 2.55992i | −1.12451 | + | 0.149297i | ||||
\(295\) | 1.03280 | + | 21.9271i | 0.0601320 | + | 1.27664i | ||||
\(296\) | −6.32727 | − | 3.65305i | −0.367765 | − | 0.212329i | ||||
\(297\) | 13.0753 | − | 5.46634i | 0.758707 | − | 0.317189i | ||||
\(298\) | −13.5550 | + | 11.3740i | −0.785219 | + | 0.658877i | ||||
\(299\) | 1.81162 | − | 0.659376i | 0.104769 | − | 0.0381327i | ||||
\(300\) | 6.91240 | + | 5.21716i | 0.399087 | + | 0.301213i | ||||
\(301\) | 1.64686 | + | 1.38188i | 0.0949234 | + | 0.0796502i | ||||
\(302\) | −1.73383 | + | 9.83301i | −0.0997705 | + | 0.565826i | ||||
\(303\) | −1.18409 | + | 27.8187i | −0.0680239 | + | 1.59814i | ||||
\(304\) | −2.20641 | + | 3.75922i | −0.126546 | + | 0.215606i | ||||
\(305\) | 3.44119 | + | 0.441026i | 0.197042 | + | 0.0252531i | ||||
\(306\) | 21.2976 | + | 5.65674i | 1.21750 | + | 0.323374i | ||||
\(307\) | 12.4600 | + | 10.4552i | 0.711132 | + | 0.596710i | 0.924916 | − | 0.380170i | \(-0.124135\pi\) |
−0.213785 | + | 0.976881i | \(0.568579\pi\) | |||||||
\(308\) | 10.9427 | + | 3.98282i | 0.623519 | + | 0.226942i | ||||
\(309\) | 15.1438 | − | 4.79304i | 0.861498 | − | 0.272666i | ||||
\(310\) | −13.5895 | + | 8.72324i | −0.771834 | + | 0.495447i | ||||
\(311\) | −0.387192 | + | 0.223545i | −0.0219556 | + | 0.0126761i | −0.510938 | − | 0.859618i | \(-0.670702\pi\) |
0.488982 | + | 0.872294i | \(0.337368\pi\) | |||||||
\(312\) | 5.24464 | + | 3.33314i | 0.296919 | + | 0.188702i | ||||
\(313\) | −29.3394 | + | 5.17332i | −1.65836 | + | 0.292414i | −0.922867 | − | 0.385119i | \(-0.874160\pi\) |
−0.735493 | + | 0.677533i | \(0.763049\pi\) | |||||||
\(314\) | −1.15155 | − | 6.53079i | −0.0649860 | − | 0.368554i | ||||
\(315\) | −21.2253 | − | 19.2309i | −1.19591 | − | 1.08354i | ||||
\(316\) | −12.1422 | + | 7.01031i | −0.683052 | + | 0.394361i | ||||
\(317\) | 0.0294093 | + | 0.0350486i | 0.00165179 | + | 0.00196853i | 0.766870 | − | 0.641803i | \(-0.221813\pi\) |
−0.765218 | + | 0.643771i | \(0.777369\pi\) | |||||||
\(318\) | −0.511439 | + | 0.161872i | −0.0286801 | + | 0.00907731i | ||||
\(319\) | −6.30389 | + | 17.3198i | −0.352950 | + | 0.969722i | ||||
\(320\) | 1.51632 | + | 1.64341i | 0.0847647 | + | 0.0918692i | ||||
\(321\) | 8.79250 | + | 1.93916i | 0.490750 | + | 0.108233i | ||||
\(322\) | −2.29429 | −0.127856 | ||||||||
\(323\) | −32.0168 | − | 0.229172i | −1.78146 | − | 0.0127515i | ||||
\(324\) | −8.87003 | − | 1.52401i | −0.492779 | − | 0.0846675i | ||||
\(325\) | −7.46944 | + | 16.3098i | −0.414330 | + | 0.904703i | ||||
\(326\) | 2.60914 | + | 2.18933i | 0.144507 | + | 0.121256i | ||||
\(327\) | −0.954516 | + | 2.31156i | −0.0527848 | + | 0.127829i | ||||
\(328\) | −2.16464 | − | 5.94731i | −0.119522 | − | 0.328385i | ||||
\(329\) | 6.30613 | + | 7.51535i | 0.347668 | + | 0.414335i | ||||
\(330\) | 3.65772 | + | 9.90966i | 0.201351 | + | 0.545509i | ||||
\(331\) | 21.9936 | + | 12.6980i | 1.20888 | + | 0.697945i | 0.962514 | − | 0.271232i | \(-0.0874312\pi\) |
0.246363 | + | 0.969178i | \(0.420765\pi\) | |||||||
\(332\) | −2.52456 | − | 14.3175i | −0.138553 | − | 0.785775i | ||||
\(333\) | 1.95810 | + | 21.8307i | 0.107303 | + | 1.19631i | ||||
\(334\) | 6.17514 | − | 10.6957i | 0.337889 | − | 0.585241i | ||||
\(335\) | 4.85261 | + | 11.6024i | 0.265127 | + | 0.633907i | ||||
\(336\) | −4.50835 | − | 5.86210i | −0.245951 | − | 0.319804i | ||||
\(337\) | 7.48349 | − | 2.72377i | 0.407652 | − | 0.148373i | −0.130052 | − | 0.991507i | \(-0.541514\pi\) |
0.537703 | + | 0.843134i | \(0.319292\pi\) | |||||||
\(338\) | 0.0437670 | − | 0.120249i | 0.00238061 | − | 0.00654067i | ||||
\(339\) | −9.71401 | + | 10.6243i | −0.527592 | + | 0.577033i | ||||
\(340\) | −4.88519 | + | 15.6814i | −0.264936 | + | 0.850442i | ||||
\(341\) | −19.6967 | −1.06663 | ||||||||
\(342\) | 13.0324 | − | 1.07497i | 0.704714 | − | 0.0581276i | ||||
\(343\) | 18.0598i | 0.975135i | ||||||||
\(344\) | −0.0874343 | + | 0.495865i | −0.00471414 | + | 0.0267352i | ||||
\(345\) | −1.34494 | − | 1.58818i | −0.0724093 | − | 0.0855048i | ||||
\(346\) | −15.3526 | − | 5.58791i | −0.825363 | − | 0.300408i | ||||
\(347\) | −13.1930 | + | 4.80186i | −0.708238 | + | 0.257777i | −0.670924 | − | 0.741526i | \(-0.734102\pi\) |
−0.0373138 | + | 0.999304i | \(0.511880\pi\) | |||||||
\(348\) | 9.27835 | − | 7.13568i | 0.497372 | − | 0.382512i | ||||
\(349\) | 4.42547 | + | 7.66513i | 0.236890 | + | 0.410305i | 0.959820 | − | 0.280616i | \(-0.0905387\pi\) |
−0.722930 | + | 0.690921i | \(0.757205\pi\) | |||||||
\(350\) | 14.9914 | − | 15.1988i | 0.801326 | − | 0.812408i | ||||
\(351\) | −0.874328 | − | 18.6220i | −0.0466682 | − | 0.993971i | ||||
\(352\) | 0.473607 | + | 2.68596i | 0.0252434 | + | 0.143162i | ||||
\(353\) | −1.95635 | + | 3.38850i | −0.104126 | + | 0.180351i | −0.913381 | − | 0.407106i | \(-0.866538\pi\) |
0.809255 | + | 0.587458i | \(0.199871\pi\) | |||||||
\(354\) | 15.0737 | − | 7.86783i | 0.801156 | − | 0.418171i | ||||
\(355\) | −5.58712 | + | 3.58642i | −0.296533 | + | 0.190347i | ||||
\(356\) | 8.92058 | − | 3.24683i | 0.472790 | − | 0.172081i | ||||
\(357\) | 20.7326 | − | 50.2084i | 1.09729 | − | 2.65731i | ||||
\(358\) | 7.52972 | − | 8.97358i | 0.397958 | − | 0.474268i | ||||
\(359\) | 16.5472 | + | 2.91771i | 0.873326 | + | 0.153991i | 0.592308 | − | 0.805711i | \(-0.298217\pi\) |
0.281018 | + | 0.959702i | \(0.409328\pi\) | |||||||
\(360\) | 1.41507 | − | 6.55725i | 0.0745810 | − | 0.345598i | ||||
\(361\) | −17.9454 | + | 6.24213i | −0.944492 | + | 0.328533i | ||||
\(362\) | 9.59675 | 0.504394 | ||||||||
\(363\) | 1.32849 | − | 6.02361i | 0.0697275 | − | 0.316157i | ||||
\(364\) | 9.84651 | − | 11.7346i | 0.516097 | − | 0.615061i | ||||
\(365\) | 12.9761 | − | 25.1372i | 0.679200 | − | 1.31574i | ||||
\(366\) | −0.810901 | − | 2.56207i | −0.0423865 | − | 0.133921i | ||||
\(367\) | −18.1232 | − | 21.5984i | −0.946022 | − | 1.12743i | −0.991713 | − | 0.128470i | \(-0.958993\pi\) |
0.0456910 | − | 0.998956i | \(-0.485451\pi\) | |||||||
\(368\) | −0.268675 | − | 0.465360i | −0.0140057 | − | 0.0242585i | ||||
\(369\) | −10.8564 | + | 15.5770i | −0.565162 | + | 0.810907i | ||||
\(370\) | −16.3188 | + | 0.768644i | −0.848376 | + | 0.0399599i | ||||
\(371\) | 0.229628 | + | 1.30228i | 0.0119217 | + | 0.0676113i | ||||
\(372\) | 10.5569 | + | 6.70926i | 0.547350 | + | 0.347859i | ||||
\(373\) | −15.0975 | − | 26.1497i | −0.781720 | − | 1.35398i | −0.930939 | − | 0.365174i | \(-0.881009\pi\) |
0.149220 | − | 0.988804i | \(-0.452324\pi\) | |||||||
\(374\) | −15.3467 | + | 12.8774i | −0.793558 | + | 0.665874i | ||||
\(375\) | 19.3092 | + | 1.46783i | 0.997123 | + | 0.0757983i | ||||
\(376\) | −0.785879 | + | 2.15918i | −0.0405286 | + | 0.111351i | ||||
\(377\) | 18.5732 | + | 15.5847i | 0.956567 | + | 0.802655i | ||||
\(378\) | −6.60185 | + | 21.1807i | −0.339563 | + | 1.08942i | ||||
\(379\) | 12.1395i | 0.623565i | 0.950154 | + | 0.311782i | \(0.100926\pi\) | ||||
−0.950154 | + | 0.311782i | \(0.899074\pi\) | |||||||
\(380\) | 0.388883 | + | 9.73903i | 0.0199493 | + | 0.499602i | ||||
\(381\) | 8.80875 | + | 0.374939i | 0.451286 | + | 0.0192087i | ||||
\(382\) | 2.17295 | − | 12.3234i | 0.111178 | − | 0.630520i | ||||
\(383\) | −3.15686 | + | 3.76220i | −0.161308 | + | 0.192240i | −0.840644 | − | 0.541588i | \(-0.817823\pi\) |
0.679336 | + | 0.733827i | \(0.262268\pi\) | |||||||
\(384\) | 0.661075 | − | 1.60093i | 0.0337354 | − | 0.0816972i | ||||
\(385\) | 25.4023 | − | 5.72313i | 1.29462 | − | 0.291678i | ||||
\(386\) | −8.35371 | − | 9.95556i | −0.425193 | − | 0.506725i | ||||
\(387\) | 1.36762 | − | 0.641378i | 0.0695198 | − | 0.0326031i | ||||
\(388\) | −0.888938 | + | 1.53969i | −0.0451290 | + | 0.0781657i | ||||
\(389\) | −7.52897 | + | 1.32756i | −0.381734 | + | 0.0673100i | −0.361223 | − | 0.932480i | \(-0.617641\pi\) |
−0.0205114 | + | 0.999790i | \(0.506529\pi\) | |||||||
\(390\) | 13.8952 | − | 0.0629199i | 0.703611 | − | 0.00318607i | ||||
\(391\) | 1.97352 | − | 3.41823i | 0.0998049 | − | 0.172867i | ||||
\(392\) | −9.72530 | + | 5.61490i | −0.491202 | + | 0.283596i | ||||
\(393\) | −8.64560 | − | 11.2417i | −0.436113 | − | 0.567067i | ||||
\(394\) | −0.370901 | − | 1.01904i | −0.0186857 | − | 0.0513387i | ||||
\(395\) | −14.3807 | + | 27.8583i | −0.723573 | + | 1.40170i | ||||
\(396\) | 5.77300 | − | 5.79833i | 0.290104 | − | 0.291377i | ||||
\(397\) | −4.13373 | − | 0.728888i | −0.207466 | − | 0.0365818i | 0.0689492 | − | 0.997620i | \(-0.478035\pi\) |
−0.276415 | + | 0.961038i | \(0.589146\pi\) | |||||||
\(398\) | 0.819459i | 0.0410758i | ||||||||
\(399\) | 1.60131 | − | 32.1953i | 0.0801657 | − | 1.61178i | ||||
\(400\) | 4.83840 | + | 1.26090i | 0.241920 | + | 0.0630449i | ||||
\(401\) | 4.53072 | − | 25.6950i | 0.226253 | − | 1.28315i | −0.634022 | − | 0.773315i | \(-0.718597\pi\) |
0.860275 | − | 0.509830i | \(-0.170292\pi\) | |||||||
\(402\) | 6.57344 | − | 7.18944i | 0.327854 | − | 0.358577i | ||||
\(403\) | −8.86175 | + | 24.3475i | −0.441435 | + | 1.21283i | ||||
\(404\) | 5.49820 | + | 15.1062i | 0.273546 | + | 0.751561i | ||||
\(405\) | −18.5320 | + | 7.84636i | −0.920862 | + | 0.389889i | ||||
\(406\) | −14.4268 | − | 24.9879i | −0.715990 | − | 1.24013i | ||||
\(407\) | −17.2570 | − | 9.96332i | −0.855396 | − | 0.493863i | ||||
\(408\) | 12.6118 | − | 1.67443i | 0.624380 | − | 0.0828965i | ||||
\(409\) | −32.2370 | + | 5.68425i | −1.59402 | + | 0.281068i | −0.899008 | − | 0.437932i | \(-0.855711\pi\) |
−0.695009 | + | 0.719001i | \(0.744600\pi\) | |||||||
\(410\) | −11.2571 | − | 8.57662i | −0.555948 | − | 0.423569i | ||||
\(411\) | −15.8779 | − | 30.4198i | −0.783197 | − | 1.50050i | ||||
\(412\) | 7.02518 | − | 5.89483i | 0.346106 | − | 0.290417i | ||||
\(413\) | −14.3357 | − | 39.3871i | −0.705415 | − | 1.93811i | ||||
\(414\) | −0.678083 | + | 1.46250i | −0.0333260 | + | 0.0718782i | ||||
\(415\) | −22.0448 | − | 23.8925i | −1.08214 | − | 1.17283i | ||||
\(416\) | 3.53326 | + | 0.623008i | 0.173232 | + | 0.0305455i | ||||
\(417\) | 10.6529 | + | 0.453432i | 0.521673 | + | 0.0222047i | ||||
\(418\) | −6.01776 | + | 10.2529i | −0.294338 | + | 0.501485i | ||||
\(419\) | 22.9364i | 1.12051i | 0.828319 | + | 0.560257i | \(0.189298\pi\) | ||||
−0.828319 | + | 0.560257i | \(0.810702\pi\) | |||||||
\(420\) | −15.5644 | − | 5.58531i | −0.759466 | − | 0.272535i | ||||
\(421\) | 3.48542 | − | 4.15377i | 0.169869 | − | 0.202442i | −0.674393 | − | 0.738373i | \(-0.735595\pi\) |
0.844262 | + | 0.535930i | \(0.180039\pi\) | |||||||
\(422\) | 5.74243 | + | 2.09008i | 0.279537 | + | 0.101743i | ||||
\(423\) | 6.65447 | − | 1.79868i | 0.323551 | − | 0.0874548i | ||||
\(424\) | −0.237256 | + | 0.199082i | −0.0115222 | + | 0.00966825i | ||||
\(425\) | 9.74897 | + | 35.4092i | 0.472895 | + | 1.71760i | ||||
\(426\) | 4.34030 | + | 2.75840i | 0.210288 | + | 0.133645i | ||||
\(427\) | −6.52384 | + | 1.15033i | −0.315711 | + | 0.0556683i | ||||
\(428\) | 5.11937 | − | 0.902683i | 0.247454 | − | 0.0436328i | ||||
\(429\) | 14.3042 | + | 9.09080i | 0.690614 | + | 0.438908i | ||||
\(430\) | 0.434429 | + | 1.03870i | 0.0209500 | + | 0.0500907i | ||||
\(431\) | 26.1160 | − | 21.9140i | 1.25797 | − | 1.05556i | 0.262069 | − | 0.965049i | \(-0.415595\pi\) |
0.995896 | − | 0.0905089i | \(-0.0288494\pi\) | |||||||
\(432\) | −5.06926 | + | 1.14130i | −0.243895 | + | 0.0549110i | ||||
\(433\) | 3.74354 | + | 1.36254i | 0.179903 | + | 0.0654793i | 0.430401 | − | 0.902638i | \(-0.358372\pi\) |
−0.250498 | + | 0.968117i | \(0.580594\pi\) | |||||||
\(434\) | 19.8200 | − | 23.6205i | 0.951389 | − | 1.13382i | ||||
\(435\) | 8.84025 | − | 24.6349i | 0.423857 | − | 1.18115i | ||||
\(436\) | 1.44388i | 0.0691495i | ||||||||
\(437\) | 0.423229 | − | 2.30370i | 0.0202458 | − | 0.110201i | ||||
\(438\) | −21.8926 | − | 0.931847i | −1.04607 | − | 0.0445254i | ||||
\(439\) | 15.1957 | + | 2.67940i | 0.725249 | + | 0.127881i | 0.524072 | − | 0.851674i | \(-0.324412\pi\) |
0.201177 | + | 0.979555i | \(0.435523\pi\) | |||||||
\(440\) | 4.13560 | + | 4.48222i | 0.197157 | + | 0.213681i | ||||
\(441\) | 30.5641 | + | 14.1709i | 1.45543 | + | 0.674805i | ||||
\(442\) | 9.01338 | + | 24.7641i | 0.428723 | + | 1.17791i | ||||
\(443\) | 23.3015 | − | 19.5523i | 1.10709 | − | 0.928956i | 0.109206 | − | 0.994019i | \(-0.465169\pi\) |
0.997881 | + | 0.0650628i | \(0.0207248\pi\) | |||||||
\(444\) | 5.85550 | + | 11.2183i | 0.277890 | + | 0.532397i | ||||
\(445\) | 12.8644 | − | 16.8849i | 0.609831 | − | 0.800422i | ||||
\(446\) | −20.2736 | + | 3.57478i | −0.959983 | + | 0.169271i | ||||
\(447\) | 30.3816 | − | 4.03365i | 1.43700 | − | 0.190785i | ||||
\(448\) | −3.69762 | − | 2.13482i | −0.174696 | − | 0.100861i | ||||
\(449\) | 12.7888 | + | 22.1509i | 0.603543 | + | 1.04537i | 0.992280 | + | 0.124018i | \(0.0395782\pi\) |
−0.388737 | + | 0.921349i | \(0.627088\pi\) | |||||||
\(450\) | −5.25774 | − | 14.0484i | −0.247852 | − | 0.662246i | ||||
\(451\) | −5.90384 | − | 16.2207i | −0.278001 | − | 0.763801i | ||||
\(452\) | −2.84266 | + | 7.81015i | −0.133708 | + | 0.367359i | ||||
\(453\) | 11.6697 | − | 12.7633i | 0.548291 | − | 0.599670i | ||||
\(454\) | 1.49633 | − | 8.48612i | 0.0702263 | − | 0.398273i | ||||
\(455\) | 4.35429 | − | 33.9752i | 0.204132 | − | 1.59278i | ||||
\(456\) | 6.71780 | − | 3.44546i | 0.314590 | − | 0.161348i | ||||
\(457\) | − | 5.02510i | − | 0.235064i | −0.993069 | − | 0.117532i | \(-0.962502\pi\) | ||
0.993069 | − | 0.117532i | \(-0.0374983\pi\) | |||||||
\(458\) | −21.1566 | − | 3.73048i | −0.988584 | − | 0.174314i | ||||
\(459\) | −25.8779 | − | 28.0552i | −1.20788 | − | 1.30951i | ||||
\(460\) | −1.06769 | − | 0.551153i | −0.0497813 | − | 0.0256976i | ||||
\(461\) | −4.00928 | − | 11.0154i | −0.186731 | − | 0.513038i | 0.810637 | − | 0.585549i | \(-0.199121\pi\) |
−0.997368 | + | 0.0725107i | \(0.976899\pi\) | |||||||
\(462\) | −12.2961 | − | 15.9883i | −0.572064 | − | 0.743842i | ||||
\(463\) | 28.1581 | − | 16.2571i | 1.30862 | − | 0.755532i | 0.326754 | − | 0.945109i | \(-0.394045\pi\) |
0.981866 | + | 0.189577i | \(0.0607118\pi\) | |||||||
\(464\) | 3.37893 | − | 5.85247i | 0.156863 | − | 0.271694i | ||||
\(465\) | 27.9696 | − | 0.126651i | 1.29706 | − | 0.00587330i | ||||
\(466\) | −22.1686 | + | 3.90893i | −1.02694 | + | 0.181078i | ||||
\(467\) | −16.2048 | + | 28.0676i | −0.749871 | + | 1.29881i | 0.198013 | + | 0.980199i | \(0.436551\pi\) |
−0.947884 | + | 0.318615i | \(0.896782\pi\) | |||||||
\(468\) | −4.57010 | − | 9.74487i | −0.211253 | − | 0.450457i | ||||
\(469\) | −15.4357 | − | 18.3956i | −0.712755 | − | 0.849429i | ||||
\(470\) | 1.12927 | + | 5.01230i | 0.0520894 | + | 0.231200i | ||||
\(471\) | −4.38394 | + | 10.6166i | −0.202002 | + | 0.489188i | ||||
\(472\) | 6.31022 | − | 7.52023i | 0.290451 | − | 0.346147i | ||||
\(473\) | −0.238468 | + | 1.35242i | −0.0109648 | + | 0.0621843i | ||||
\(474\) | 24.2624 | + | 1.03272i | 1.11441 | + | 0.0474342i | ||||
\(475\) | 12.4956 | + | 17.8566i | 0.573338 | + | 0.819319i | ||||
\(476\) | − | 31.3620i | − | 1.43747i | ||||||
\(477\) | 0.898012 | + | 0.238516i | 0.0411171 | + | 0.0109209i | ||||
\(478\) | −0.201857 | − | 0.169378i | −0.00923273 | − | 0.00774718i | ||||
\(479\) | −1.26648 | + | 3.47963i | −0.0578670 | + | 0.158988i | −0.965258 | − | 0.261300i | \(-0.915849\pi\) |
0.907391 | + | 0.420288i | \(0.138071\pi\) | |||||||
\(480\) | −0.689801 | − | 3.81106i | −0.0314849 | − | 0.173950i | ||||
\(481\) | −20.0800 | + | 16.8491i | −0.915568 | + | 0.768253i | ||||
\(482\) | −7.55047 | − | 13.0778i | −0.343914 | − | 0.595677i | ||||
\(483\) | 3.35383 | + | 2.13147i | 0.152605 | + | 0.0969852i | ||||
\(484\) | −0.618415 | − | 3.50720i | −0.0281098 | − | 0.159418i | ||||
\(485\) | 0.187043 | + | 3.97105i | 0.00849318 | + | 0.180316i | ||||
\(486\) | 11.5505 | + | 10.4684i | 0.523940 | + | 0.474854i | ||||
\(487\) | −13.6010 | − | 23.5575i | −0.616318 | − | 1.06749i | −0.990152 | − | 0.139999i | \(-0.955290\pi\) |
0.373834 | − | 0.927496i | \(-0.378043\pi\) | |||||||
\(488\) | −0.997306 | − | 1.18854i | −0.0451459 | − | 0.0538028i | ||||
\(489\) | −1.78013 | − | 5.62436i | −0.0805001 | − | 0.254343i | ||||
\(490\) | −11.5182 | + | 22.3131i | −0.520341 | + | 1.00800i | ||||
\(491\) | −25.0114 | + | 29.8074i | −1.12875 | + | 1.34519i | −0.197715 | + | 0.980260i | \(0.563352\pi\) |
−0.931034 | + | 0.364932i | \(0.881092\pi\) | |||||||
\(492\) | −2.36092 | + | 10.7049i | −0.106439 | + | 0.482613i | ||||
\(493\) | 49.6388 | 2.23562 | ||||||||
\(494\) | 9.96635 | + | 12.0516i | 0.448407 | + | 0.542226i | ||||
\(495\) | 3.85947 | − | 17.8842i | 0.173470 | − | 0.803836i | ||||
\(496\) | 7.11207 | + | 1.25405i | 0.319341 | + | 0.0563085i | ||||
\(497\) | 8.14865 | − | 9.71118i | 0.365517 | − | 0.435606i | ||||
\(498\) | −9.61096 | + | 23.2749i | −0.430678 | + | 1.04297i | ||||
\(499\) | −8.06784 | + | 2.93645i | −0.361166 | + | 0.131454i | −0.516228 | − | 0.856451i | \(-0.672664\pi\) |
0.155062 | + | 0.987905i | \(0.450442\pi\) | |||||||
\(500\) | 10.6277 | − | 3.47165i | 0.475284 | − | 0.155257i | ||||
\(501\) | −18.9635 | + | 9.89818i | −0.847227 | + | 0.442218i | ||||
\(502\) | 1.47132 | − | 2.54841i | 0.0656684 | − | 0.113741i | ||||
\(503\) | −4.50040 | − | 25.5230i | −0.200663 | − | 1.13802i | −0.904120 | − | 0.427278i | \(-0.859472\pi\) |
0.703457 | − | 0.710738i | \(-0.251639\pi\) | |||||||
\(504\) | 1.14430 | + | 12.7577i | 0.0509712 | + | 0.568273i | ||||
\(505\) | 28.5931 | + | 21.7847i | 1.27238 | + | 0.969405i | ||||
\(506\) | −0.732785 | − | 1.26922i | −0.0325762 | − | 0.0564237i | ||||
\(507\) | −0.175694 | + | 0.135120i | −0.00780284 | + | 0.00600091i | ||||
\(508\) | 4.78335 | − | 1.74100i | 0.212227 | − | 0.0772443i | ||||
\(509\) | −25.7098 | − | 9.35762i | −1.13957 | − | 0.414769i | −0.297811 | − | 0.954625i | \(-0.596257\pi\) |
−0.841758 | + | 0.539856i | \(0.818479\pi\) | |||||||
\(510\) | 21.7097 | − | 18.3848i | 0.961323 | − | 0.814092i | ||||
\(511\) | −9.37976 | + | 53.1953i | −0.414936 | + | 2.35322i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −20.0497 | − | 10.5361i | −0.885215 | − | 0.465182i | ||||
\(514\) | −3.24148 | −0.142975 | ||||||||
\(515\) | 6.09919 | − | 19.5783i | 0.268763 | − | 0.862724i | ||||
\(516\) | 0.588486 | − | 0.643633i | 0.0259067 | − | 0.0283344i | ||||
\(517\) | −2.14340 | + | 5.88895i | −0.0942668 | + | 0.258996i | ||||
\(518\) | 29.3131 | − | 10.6691i | 1.28795 | − | 0.468774i | ||||
\(519\) | 17.2514 | + | 22.4316i | 0.757252 | + | 0.984636i | ||||
\(520\) | 7.40122 | − | 3.09550i | 0.324565 | − | 0.135747i | ||||
\(521\) | −4.99671 | + | 8.65456i | −0.218910 | + | 0.379163i | −0.954475 | − | 0.298291i | \(-0.903583\pi\) |
0.735565 | + | 0.677454i | \(0.236917\pi\) | |||||||
\(522\) | −20.1925 | + | 1.81116i | −0.883801 | + | 0.0792724i | ||||
\(523\) | 0.645169 | + | 3.65894i | 0.0282113 | + | 0.159994i | 0.995659 | − | 0.0930772i | \(-0.0296704\pi\) |
−0.967448 | + | 0.253071i | \(0.918559\pi\) | |||||||
\(524\) | −7.09087 | − | 4.09392i | −0.309766 | − | 0.178844i | ||||
\(525\) | −36.0348 | + | 8.29026i | −1.57269 | + | 0.361817i | ||||
\(526\) | 14.3751 | + | 17.1316i | 0.626784 | + | 0.746972i | ||||
\(527\) | 18.1430 | + | 49.8474i | 0.790320 | + | 2.17139i | ||||
\(528\) | 1.80301 | − | 4.36637i | 0.0784661 | − | 0.190022i | ||||
\(529\) | −17.3978 | − | 14.5985i | −0.756427 | − | 0.634718i | ||||
\(530\) | −0.205983 | + | 0.661204i | −0.00894735 | + | 0.0287209i | ||||
\(531\) | −29.3444 | − | 2.50258i | −1.27344 | − | 0.108603i | ||||
\(532\) | −6.23997 | − | 17.5337i | −0.270537 | − | 0.760180i | ||||
\(533\) | −22.7069 | −0.983545 | ||||||||
\(534\) | −16.0566 | − | 3.54124i | −0.694839 | − | 0.153244i | ||||
\(535\) | 8.54299 | − | 7.88234i | 0.369346 | − | 0.340783i | ||||
\(536\) | 1.92362 | − | 5.28511i | 0.0830879 | − | 0.228282i | ||||
\(537\) | −19.3438 | + | 6.12236i | −0.834746 | + | 0.264199i | ||||
\(538\) | −3.26280 | − | 3.88845i | −0.140669 | − | 0.167643i | ||||
\(539\) | −26.5248 | + | 15.3141i | −1.14250 | + | 0.659624i | ||||
\(540\) | −8.16047 | + | 8.27084i | −0.351171 | + | 0.355920i | ||||
\(541\) | −5.02569 | − | 28.5021i | −0.216071 | − | 1.22540i | −0.879038 | − | 0.476752i | \(-0.841814\pi\) |
0.662967 | − | 0.748649i | \(-0.269297\pi\) | |||||||
\(542\) | −14.8689 | + | 2.62179i | −0.638675 | + | 0.112616i | ||||
\(543\) | −14.0287 | − | 8.91568i | −0.602028 | − | 0.382608i | ||||
\(544\) | 6.36126 | − | 3.67267i | 0.272737 | − | 0.157465i | ||||
\(545\) | 1.74408 | + | 2.71702i | 0.0747080 | + | 0.116384i | ||||
\(546\) | −25.2956 | + | 8.00611i | −1.08255 | + | 0.342630i | ||||
\(547\) | 26.5717 | + | 9.67132i | 1.13613 | + | 0.413516i | 0.840513 | − | 0.541792i | \(-0.182254\pi\) |
0.295613 | + | 0.955308i | \(0.404476\pi\) | |||||||
\(548\) | −15.1764 | − | 12.7345i | −0.648302 | − | 0.543990i | ||||
\(549\) | −1.19485 | + | 4.49862i | −0.0509951 | + | 0.191997i | ||||
\(550\) | 13.1962 | + | 3.43897i | 0.562690 | + | 0.146638i | ||||
\(551\) | 27.7517 | − | 9.87643i | 1.18226 | − | 0.420750i | ||||
\(552\) | −0.0395797 | + | 0.929877i | −0.00168462 | + | 0.0395782i | ||||
\(553\) | 10.3951 | − | 58.9535i | 0.442044 | − | 2.50696i | ||||
\(554\) | 4.09834 | + | 3.43891i | 0.174122 | + | 0.146105i | ||||
\(555\) | 24.5692 | + | 14.0371i | 1.04291 | + | 0.595841i | ||||
\(556\) | 5.78475 | − | 2.10548i | 0.245328 | − | 0.0892920i | ||||
\(557\) | −26.7687 | + | 22.4616i | −1.13423 | + | 0.951728i | −0.999235 | − | 0.0391191i | \(-0.987545\pi\) |
−0.134991 | + | 0.990847i | \(0.543100\pi\) | |||||||
\(558\) | −9.19913 | − | 19.6154i | −0.389430 | − | 0.830385i | ||||
\(559\) | 1.56446 | + | 0.903244i | 0.0661698 | + | 0.0382032i | ||||
\(560\) | −9.53663 | + | 0.449191i | −0.402996 | + | 0.0189818i | ||||
\(561\) | 34.3975 | − | 4.56682i | 1.45226 | − | 0.192811i | ||||
\(562\) | −1.99377 | − | 1.15110i | −0.0841021 | − | 0.0485564i | ||||
\(563\) | 8.03841 | − | 4.64098i | 0.338778 | − | 0.195594i | −0.320953 | − | 0.947095i | \(-0.604003\pi\) |
0.659732 | + | 0.751501i | \(0.270670\pi\) | |||||||
\(564\) | 3.15476 | − | 2.42622i | 0.132839 | − | 0.102162i | ||||
\(565\) | 4.08477 | + | 18.1304i | 0.171848 | + | 0.762751i | ||||
\(566\) | 5.72092 | + | 2.08225i | 0.240468 | + | 0.0875233i | ||||
\(567\) | 29.3282 | − | 24.8289i | 1.23167 | − | 1.04271i | ||||
\(568\) | 2.92401 | + | 0.515582i | 0.122689 | + | 0.0216333i | ||||
\(569\) | −33.6444 | −1.41045 | −0.705223 | − | 0.708985i | \(-0.749153\pi\) | ||||
−0.705223 | + | 0.708985i | \(0.749153\pi\) | |||||||
\(570\) | 8.47939 | − | 14.5979i | 0.355162 | − | 0.611441i | ||||
\(571\) | −12.1934 | −0.510279 | −0.255140 | − | 0.966904i | \(-0.582121\pi\) | ||||
−0.255140 | + | 0.966904i | \(0.582121\pi\) | |||||||
\(572\) | 9.63659 | + | 1.69919i | 0.402926 | + | 0.0710467i | ||||
\(573\) | −14.6253 | + | 15.9958i | −0.610979 | + | 0.668234i | ||||
\(574\) | 25.3928 | + | 9.24224i | 1.05988 | + | 0.385764i | ||||
\(575\) | −2.67486 | + | 0.252541i | −0.111549 | + | 0.0105317i | ||||
\(576\) | −2.45368 | + | 1.72610i | −0.102237 | + | 0.0719210i | ||||
\(577\) | 5.38776 | − | 3.11063i | 0.224295 | − | 0.129497i | −0.383642 | − | 0.923482i | \(-0.625330\pi\) |
0.607938 | + | 0.793985i | \(0.291997\pi\) | |||||||
\(578\) | 32.0032 | + | 18.4771i | 1.33116 | + | 0.768545i | ||||
\(579\) | 2.96255 | + | 22.3140i | 0.123119 | + | 0.927340i | ||||
\(580\) | −0.710965 | − | 15.0943i | −0.0295212 | − | 0.626756i | ||||
\(581\) | 53.7573 | + | 31.0368i | 2.23023 | + | 1.28762i | ||||
\(582\) | 2.72988 | − | 1.42488i | 0.113157 | − | 0.0590633i | ||||
\(583\) | −0.647092 | + | 0.542974i | −0.0267998 | + | 0.0224877i | ||||
\(584\) | −11.8882 | + | 4.32695i | −0.491937 | + | 0.179051i | ||||
\(585\) | −20.3707 | − | 12.8171i | −0.842223 | − | 0.529921i | ||||
\(586\) | −11.6720 | − | 9.79393i | −0.482164 | − | 0.404584i | ||||
\(587\) | 1.26790 | − | 7.19059i | 0.0523316 | − | 0.296787i | −0.947398 | − | 0.320059i | \(-0.896297\pi\) |
0.999729 | + | 0.0232718i | \(0.00740830\pi\) | |||||||
\(588\) | 19.4330 | + | 0.827154i | 0.801404 | + | 0.0341113i | ||||
\(589\) | 20.0612 | + | 24.2585i | 0.826607 | + | 0.999556i | ||||
\(590\) | 2.79049 | − | 21.7733i | 0.114883 | − | 0.896393i | ||||
\(591\) | −0.404534 | + | 1.83423i | −0.0166403 | + | 0.0754502i | ||||
\(592\) | 5.59680 | + | 4.69627i | 0.230027 | + | 0.193016i | ||||
\(593\) | 8.21123 | + | 2.98864i | 0.337195 | + | 0.122729i | 0.505068 | − | 0.863080i | \(-0.331468\pi\) |
−0.167873 | + | 0.985809i | \(0.553690\pi\) | |||||||
\(594\) | −13.8259 | + | 3.11279i | −0.567283 | + | 0.127719i | ||||
\(595\) | −37.8823 | − | 59.0152i | −1.55302 | − | 2.41939i | ||||
\(596\) | 15.3241 | − | 8.84738i | 0.627700 | − | 0.362403i | ||||
\(597\) | 0.761303 | − | 1.19790i | 0.0311581 | − | 0.0490267i | ||||
\(598\) | −1.89860 | + | 0.334774i | −0.0776395 | + | 0.0136899i | ||||
\(599\) | 7.07151 | + | 40.1045i | 0.288934 | + | 1.63863i | 0.690885 | + | 0.722965i | \(0.257221\pi\) |
−0.401951 | + | 0.915661i | \(0.631668\pi\) | |||||||
\(600\) | −5.90143 | − | 6.33822i | −0.240925 | − | 0.258757i | ||||
\(601\) | 28.9493 | − | 16.7139i | 1.18087 | − | 0.681774i | 0.224653 | − | 0.974439i | \(-0.427875\pi\) |
0.956215 | + | 0.292665i | \(0.0945420\pi\) | |||||||
\(602\) | −1.38188 | − | 1.64686i | −0.0563212 | − | 0.0671210i | ||||
\(603\) | −16.2884 | + | 4.40269i | −0.663314 | + | 0.179292i | ||||
\(604\) | 3.41497 | − | 9.38255i | 0.138953 | − | 0.381771i | ||||
\(605\) | −5.40007 | − | 5.85267i | −0.219544 | − | 0.237945i | ||||
\(606\) | 5.99676 | − | 27.1904i | 0.243602 | − | 1.10454i | ||||
\(607\) | 8.53702 | 0.346507 | 0.173254 | − | 0.984877i | \(-0.444572\pi\) | ||||
0.173254 | + | 0.984877i | \(0.444572\pi\) | |||||||
\(608\) | 2.82567 | − | 3.31897i | 0.114596 | − | 0.134602i | ||||
\(609\) | −2.12527 | + | 49.9307i | −0.0861202 | + | 2.02329i | ||||
\(610\) | −3.31232 | − | 1.03188i | −0.134112 | − | 0.0417796i | ||||
\(611\) | 6.31512 | + | 5.29901i | 0.255482 | + | 0.214375i | ||||
\(612\) | −19.9918 | − | 9.26909i | −0.808120 | − | 0.374681i | ||||
\(613\) | −2.76433 | − | 7.59492i | −0.111650 | − | 0.306756i | 0.871266 | − | 0.490811i | \(-0.163300\pi\) |
−0.982916 | + | 0.184055i | \(0.941077\pi\) | |||||||
\(614\) | −10.4552 | − | 12.4600i | −0.421938 | − | 0.502846i | ||||
\(615\) | 8.48784 | + | 22.9956i | 0.342263 | + | 0.927273i | ||||
\(616\) | −10.0849 | − | 5.82250i | −0.406331 | − | 0.234595i | ||||
\(617\) | 2.93249 | + | 16.6310i | 0.118058 | + | 0.669538i | 0.985191 | + | 0.171462i | \(0.0548490\pi\) |
−0.867133 | + | 0.498076i | \(0.834040\pi\) | |||||||
\(618\) | −15.7460 | + | 2.09053i | −0.633396 | + | 0.0840936i | ||||
\(619\) | 0.936797 | − | 1.62258i | 0.0376531 | − | 0.0652170i | −0.846585 | − | 0.532254i | \(-0.821345\pi\) |
0.884238 | + | 0.467037i | \(0.154678\pi\) | |||||||
\(620\) | 14.8979 | − | 6.23091i | 0.598313 | − | 0.250239i | ||||
\(621\) | 2.34994 | − | 1.50795i | 0.0943000 | − | 0.0605119i | ||||
\(622\) | 0.420127 | − | 0.152914i | 0.0168456 | − | 0.00613129i | ||||
\(623\) | −13.8628 | + | 38.0877i | −0.555400 | + | 1.52595i | ||||
\(624\) | −4.58617 | − | 4.19323i | −0.183594 | − | 0.167863i | ||||
\(625\) | 15.8052 | − | 19.3700i | 0.632206 | − | 0.774800i | ||||
\(626\) | 29.7920 | 1.19073 | ||||||||
\(627\) | 18.3221 | − | 9.39713i | 0.731714 | − | 0.375285i | ||||
\(628\) | 6.63154i | 0.264627i | ||||||||
\(629\) | −9.31898 | + | 52.8505i | −0.371572 | + | 2.10729i | ||||
\(630\) | 17.5634 | + | 22.6245i | 0.699742 | + | 0.901382i | ||||
\(631\) | 3.90451 | + | 1.42112i | 0.155436 | + | 0.0565741i | 0.418566 | − | 0.908186i | \(-0.362533\pi\) |
−0.263130 | + | 0.964760i | \(0.584755\pi\) | |||||||
\(632\) | 13.1751 | − | 4.79533i | 0.524076 | − | 0.190748i | ||||
\(633\) | −6.45263 | − | 8.39020i | −0.256469 | − | 0.333481i | ||||
\(634\) | −0.0228764 | − | 0.0396230i | −0.000908536 | − | 0.00157363i | ||||
\(635\) | 6.89808 | − | 9.05396i | 0.273742 | − | 0.359295i | ||||
\(636\) | 0.531777 | − | 0.0706020i | 0.0210863 | − | 0.00279955i | ||||
\(637\) | 6.99626 | + | 39.6778i | 0.277202 | + | 1.57209i | ||||
\(638\) | 9.21567 | − | 15.9620i | 0.364852 | − | 0.631942i | ||||
\(639\) | −3.78207 | − | 8.06454i | −0.149616 | − | 0.319028i | ||||
\(640\) | −1.20791 | − | 1.88174i | −0.0477467 | − | 0.0743825i | ||||
\(641\) | −18.9800 | + | 6.90815i | −0.749665 | + | 0.272856i | −0.688465 | − | 0.725270i | \(-0.741715\pi\) |
−0.0612000 | + | 0.998126i | \(0.519493\pi\) | |||||||
\(642\) | −8.32219 | − | 3.43650i | −0.328451 | − | 0.135628i | ||||
\(643\) | 10.1753 | − | 12.1265i | 0.401276 | − | 0.478222i | −0.527133 | − | 0.849783i | \(-0.676733\pi\) |
0.928409 | + | 0.371561i | \(0.121177\pi\) | |||||||
\(644\) | 2.25944 | + | 0.398400i | 0.0890344 | + | 0.0156992i | ||||
\(645\) | 0.329932 | − | 1.92199i | 0.0129911 | − | 0.0756782i | ||||
\(646\) | 31.4906 | + | 5.78535i | 1.23898 | + | 0.227622i | ||||
\(647\) | 23.4726 | 0.922803 | 0.461402 | − | 0.887191i | \(-0.347347\pi\) | ||||
0.461402 | + | 0.887191i | \(0.347347\pi\) | |||||||
\(648\) | 8.47063 | + | 3.04113i | 0.332758 | + | 0.119467i | ||||
\(649\) | 17.2105 | − | 20.5106i | 0.675570 | − | 0.805113i | ||||
\(650\) | 10.1881 | − | 14.7649i | 0.399611 | − | 0.579128i | ||||
\(651\) | −50.9173 | + | 16.1155i | −1.99561 | + | 0.631614i | ||||
\(652\) | −2.18933 | − | 2.60914i | −0.0857407 | − | 0.102182i | ||||
\(653\) | −0.962137 | − | 1.66647i | −0.0376513 | − | 0.0652140i | 0.846586 | − | 0.532252i | \(-0.178654\pi\) |
−0.884237 | + | 0.467038i | \(0.845321\pi\) | |||||||
\(654\) | 1.34141 | − | 2.11069i | 0.0524534 | − | 0.0825345i | ||||
\(655\) | −18.2883 | + | 0.861408i | −0.714582 | + | 0.0336580i | ||||
\(656\) | 1.09902 | + | 6.23284i | 0.0429094 | + | 0.243351i | ||||
\(657\) | 31.1373 | + | 21.7011i | 1.21478 | + | 0.846641i | ||||
\(658\) | −4.90529 | − | 8.49622i | −0.191228 | − | 0.331217i | ||||
\(659\) | 7.82000 | − | 6.56176i | 0.304624 | − | 0.255610i | −0.477642 | − | 0.878555i | \(-0.658508\pi\) |
0.782266 | + | 0.622945i | \(0.214064\pi\) | |||||||
\(660\) | −1.88136 | − | 10.3943i | −0.0732318 | − | 0.404596i | ||||
\(661\) | 4.42211 | − | 12.1496i | 0.172000 | − | 0.472567i | −0.823501 | − | 0.567315i | \(-0.807982\pi\) |
0.995501 | + | 0.0947481i | \(0.0302046\pi\) | |||||||
\(662\) | −19.4545 | − | 16.3242i | −0.756119 | − | 0.634460i | ||||
\(663\) | 9.83068 | − | 44.5742i | 0.381792 | − | 1.73112i | ||||
\(664\) | 14.5384i | 0.564199i | ||||||||
\(665\) | −32.9211 | − | 25.4566i | −1.27662 | − | 0.987163i | ||||
\(666\) | 1.86250 | − | 21.8390i | 0.0721706 | − | 0.846245i | ||||
\(667\) | −0.630575 | + | 3.57617i | −0.0244160 | + | 0.138470i | ||||
\(668\) | −7.93861 | + | 9.46087i | −0.307154 | + | 0.366052i | ||||
\(669\) | 32.9573 | + | 13.6091i | 1.27420 | + | 0.526159i | ||||
\(670\) | −2.76416 | − | 12.2688i | −0.106789 | − | 0.473985i | ||||
\(671\) | −2.72005 | − | 3.24163i | −0.105006 | − | 0.125142i | ||||
\(672\) | 3.42191 | + | 6.55591i | 0.132003 | + | 0.252900i | ||||
\(673\) | −22.7356 | + | 39.3792i | −0.876393 | + | 1.51796i | −0.0211213 | + | 0.999777i | \(0.506724\pi\) |
−0.855272 | + | 0.518180i | \(0.826610\pi\) | |||||||
\(674\) | −7.84278 | + | 1.38289i | −0.302093 | + | 0.0532671i | ||||
\(675\) | −5.36551 | + | 25.4207i | −0.206518 | + | 0.978443i | ||||
\(676\) | −0.0639830 | + | 0.110822i | −0.00246089 | + | 0.00426238i | ||||
\(677\) | −34.5103 | + | 19.9245i | −1.32634 | + | 0.765761i | −0.984731 | − | 0.174082i | \(-0.944304\pi\) |
−0.341606 | + | 0.939843i | \(0.610971\pi\) | |||||||
\(678\) | 11.4113 | − | 8.77607i | 0.438249 | − | 0.337043i | ||||
\(679\) | −2.59624 | − | 7.13310i | −0.0996344 | − | 0.273743i | ||||
\(680\) | 7.53401 | − | 14.5948i | 0.288916 | − | 0.559687i | ||||
\(681\) | −10.0712 | + | 11.0150i | −0.385930 | + | 0.422095i | ||||
\(682\) | 19.3974 | + | 3.42029i | 0.742766 | + | 0.130970i | ||||
\(683\) | − | 11.7341i | − | 0.448994i | −0.974475 | − | 0.224497i | \(-0.927926\pi\) | ||
0.974475 | − | 0.224497i | \(-0.0720738\pi\) | |||||||
\(684\) | −13.0211 | − | 1.20442i | −0.497875 | − | 0.0460522i | ||||
\(685\) | −43.9401 | − | 5.63141i | −1.67887 | − | 0.215165i | ||||
\(686\) | 3.13604 | − | 17.7854i | 0.119735 | − | 0.679049i | ||||
\(687\) | 27.4613 | + | 25.1084i | 1.04771 | + | 0.957946i | ||||
\(688\) | 0.172212 | − | 0.473148i | 0.00656552 | − | 0.0180386i | ||||
\(689\) | 0.380048 | + | 1.04417i | 0.0144787 | + | 0.0397799i | ||||
\(690\) | 1.04873 | + | 1.79760i | 0.0399243 | + | 0.0684334i | ||||
\(691\) | 0.324763 | + | 0.562507i | 0.0123546 | + | 0.0213988i | 0.872137 | − | 0.489262i | \(-0.162734\pi\) |
−0.859782 | + | 0.510661i | \(0.829401\pi\) | |||||||
\(692\) | 14.1491 | + | 8.16897i | 0.537867 | + | 0.310538i | ||||
\(693\) | 3.12096 | + | 34.7953i | 0.118555 | + | 1.32176i | ||||
\(694\) | 13.8264 | − | 2.43797i | 0.524843 | − | 0.0925441i | ||||
\(695\) | 8.34219 | − | 10.9494i | 0.316437 | − | 0.415334i | ||||
\(696\) | −10.3765 | + | 5.41610i | −0.393320 | + | 0.205297i | ||||
\(697\) | −35.6124 | + | 29.8823i | −1.34891 | + | 1.13187i | ||||
\(698\) | −3.02720 | − | 8.31715i | −0.114581 | − | 0.314809i | ||||
\(699\) | 36.0380 | + | 14.8812i | 1.36308 | + | 0.562860i | ||||
\(700\) | −17.4029 | + | 12.3646i | −0.657768 | + | 0.467339i | ||||
\(701\) | −12.1936 | − | 2.15007i | −0.460547 | − | 0.0812069i | −0.0614393 | − | 0.998111i | \(-0.519569\pi\) |
−0.399108 | + | 0.916904i | \(0.630680\pi\) | |||||||
\(702\) | −2.37264 | + | 18.4910i | −0.0895495 | + | 0.697896i | ||||
\(703\) | 5.30547 | + | 31.4015i | 0.200100 | + | 1.18433i | ||||
\(704\) | − | 2.72740i | − | 0.102793i | ||||||
\(705\) | 3.00580 | − | 8.37618i | 0.113205 | − | 0.315465i | ||||
\(706\) | 2.51503 | − | 2.99730i | 0.0946545 | − | 0.112805i | ||||
\(707\) | −64.4980 | − | 23.4753i | −2.42570 | − | 0.882881i | ||||
\(708\) | −16.2109 | + | 5.13079i | −0.609243 | + | 0.192827i | ||||
\(709\) | −6.19324 | + | 5.19675i | −0.232592 | + | 0.195168i | −0.751633 | − | 0.659581i | \(-0.770734\pi\) |
0.519041 | + | 0.854749i | \(0.326289\pi\) | |||||||
\(710\) | 6.12501 | − | 2.56174i | 0.229868 | − | 0.0961403i | ||||
\(711\) | −34.5078 | − | 24.0502i | −1.29414 | − | 0.901953i | ||||
\(712\) | −9.34886 | + | 1.64846i | −0.350363 | + | 0.0617785i | ||||
\(713\) | −3.82168 | + | 0.673865i | −0.143123 | + | 0.0252364i | ||||
\(714\) | −29.1362 | + | 45.8454i | −1.09040 | + | 1.71572i | ||||
\(715\) | 20.1861 | − | 8.44266i | 0.754916 | − | 0.315738i | ||||
\(716\) | −8.97358 | + | 7.52972i | −0.335358 | + | 0.281399i | ||||
\(717\) | 0.137720 | + | 0.435131i | 0.00514325 | + | 0.0162503i | ||||
\(718\) | −15.7891 | − | 5.74677i | −0.589245 | − | 0.214468i | ||||
\(719\) | 21.7724 | − | 25.9473i | 0.811972 | − | 0.967671i | −0.187923 | − | 0.982184i | \(-0.560175\pi\) |
0.999895 | + | 0.0145132i | \(0.00461987\pi\) | |||||||
\(720\) | −2.53223 | + | 6.21191i | −0.0943707 | + | 0.231504i | ||||
\(721\) | 39.1557i | 1.45823i | ||||||||
\(722\) | 18.7567 | − | 3.03112i | 0.698051 | − | 0.112807i | ||||
\(723\) | −1.11229 | + | 26.1319i | −0.0413665 | + | 0.971857i | ||||
\(724\) | −9.45095 | − | 1.66646i | −0.351242 | − | 0.0619334i | ||||
\(725\) | −19.5703 | − | 27.5448i | −0.726824 | − | 1.02299i | ||||
\(726\) | −2.35429 | + | 5.70141i | −0.0873760 | + | 0.211599i | ||||
\(727\) | −10.2253 | − | 28.0937i | −0.379234 | − | 1.04194i | −0.971675 | − | 0.236323i | \(-0.924058\pi\) |
0.592441 | − | 0.805614i | \(-0.298164\pi\) | |||||||
\(728\) | −11.7346 | + | 9.84651i | −0.434914 | + | 0.364936i | ||||
\(729\) | −7.15923 | − | 26.0335i | −0.265157 | − | 0.964205i | ||||
\(730\) | −17.1440 | + | 22.5021i | −0.634528 | + | 0.832839i | ||||
\(731\) | 3.64230 | − | 0.642235i | 0.134715 | − | 0.0237539i | ||||
\(732\) | 0.353683 | + | 2.66396i | 0.0130725 | + | 0.0984627i | ||||
\(733\) | −42.3594 | − | 24.4562i | −1.56458 | − | 0.903311i | −0.996783 | − | 0.0801433i | \(-0.974462\pi\) |
−0.567798 | − | 0.823168i | \(-0.692204\pi\) | |||||||
\(734\) | 14.0973 | + | 24.4173i | 0.520342 | + | 0.901259i | ||||
\(735\) | 37.5671 | − | 21.9168i | 1.38568 | − | 0.808412i | ||||
\(736\) | 0.183785 | + | 0.504945i | 0.00677440 | + | 0.0186125i | ||||
\(737\) | 5.24648 | − | 14.4146i | 0.193257 | − | 0.530968i | ||||
\(738\) | 13.3964 | − | 13.4552i | 0.493128 | − | 0.495292i | ||||
\(739\) | 2.67304 | − | 15.1596i | 0.0983295 | − | 0.557654i | −0.895347 | − | 0.445370i | \(-0.853072\pi\) |
0.993676 | − | 0.112284i | \(-0.0358168\pi\) | |||||||
\(740\) | 16.2044 | + | 2.07677i | 0.595685 | + | 0.0763436i | ||||
\(741\) | −3.37267 | − | 26.8762i | −0.123898 | − | 0.987322i | ||||
\(742\) | − | 1.32237i | − | 0.0485459i | ||||||
\(743\) | 23.5611 | + | 4.15445i | 0.864372 | + | 0.152412i | 0.588219 | − | 0.808702i | \(-0.299829\pi\) |
0.276153 | + | 0.961114i | \(0.410940\pi\) | |||||||
\(744\) | −9.23147 | − | 8.44052i | −0.338442 | − | 0.309444i | ||||
\(745\) | 18.1493 | − | 35.1586i | 0.664937 | − | 1.28811i | ||||
\(746\) | 10.3273 | + | 28.3740i | 0.378110 | + | 1.03885i | ||||
\(747\) | 35.6726 | − | 25.0948i | 1.30519 | − | 0.918169i | ||||
\(748\) | 17.3497 | − | 10.0168i | 0.634367 | − | 0.366252i | ||||
\(749\) | −11.0975 | + | 19.2215i | −0.405495 | + | 0.702338i | ||||
\(750\) | −18.7610 | − | 4.79854i | −0.685054 | − | 0.175218i | ||||
\(751\) | 19.1056 | − | 3.36883i | 0.697173 | − | 0.122930i | 0.186181 | − | 0.982516i | \(-0.440389\pi\) |
0.510993 | + | 0.859585i | \(0.329278\pi\) | |||||||
\(752\) | 1.14888 | − | 1.98992i | 0.0418953 | − | 0.0725648i | ||||
\(753\) | −4.51835 | + | 2.35840i | −0.164658 | + | 0.0859447i | ||||
\(754\) | −15.5847 | − | 18.5732i | −0.567563 | − | 0.676395i | ||||
\(755\) | −4.90715 | − | 21.7805i | −0.178589 | − | 0.792675i | ||||
\(756\) | 10.1795 | − | 19.7125i | 0.370226 | − | 0.716936i | ||||
\(757\) | −22.0963 | + | 26.3333i | −0.803104 | + | 0.957101i | −0.999727 | − | 0.0233776i | \(-0.992558\pi\) |
0.196623 | + | 0.980479i | \(0.437002\pi\) | |||||||
\(758\) | 2.10800 | − | 11.9551i | 0.0765662 | − | 0.434228i | ||||
\(759\) | −0.107949 | + | 2.53614i | −0.00391832 | + | 0.0920562i | ||||
\(760\) | 1.30819 | − | 9.65860i | 0.0474531 | − | 0.350354i | ||||
\(761\) | − | 29.7711i | − | 1.07920i | −0.841921 | − | 0.539601i | \(-0.818575\pi\) | ||
0.841921 | − | 0.539601i | \(-0.181425\pi\) | |||||||
\(762\) | −8.60982 | − | 1.89887i | −0.311901 | − | 0.0687887i | ||||
\(763\) | −4.72256 | − | 3.96269i | −0.170968 | − | 0.143459i | ||||
\(764\) | −4.27987 | + | 11.7589i | −0.154840 | + | 0.425420i | ||||
\(765\) | −48.8156 | + | 6.70614i | −1.76493 | + | 0.242461i | ||||
\(766\) | 3.76220 | − | 3.15686i | 0.135934 | − | 0.114062i | ||||
\(767\) | −17.6105 | − | 30.5022i | −0.635877 | − | 1.10137i | ||||
\(768\) | −0.929031 | + | 1.46181i | −0.0335235 | + | 0.0527487i | ||||
\(769\) | 2.50433 | + | 14.2028i | 0.0903084 | + | 0.512164i | 0.996084 | + | 0.0884075i | \(0.0281778\pi\) |
−0.905776 | + | 0.423757i | \(0.860711\pi\) | |||||||
\(770\) | −26.0102 | + | 1.22512i | −0.937341 | + | 0.0441503i | ||||
\(771\) | 4.73844 | + | 3.01143i | 0.170651 | + | 0.108454i | ||||
\(772\) | 6.49803 | + | 11.2549i | 0.233869 | + | 0.405073i | ||||
\(773\) | 2.01490 | + | 2.40127i | 0.0724710 | + | 0.0863676i | 0.801062 | − | 0.598582i | \(-0.204269\pi\) |
−0.728591 | + | 0.684949i | \(0.759824\pi\) | |||||||
\(774\) | −1.45821 | + | 0.394150i | −0.0524144 | + | 0.0141674i | ||||
\(775\) | 20.5076 | − | 29.7202i | 0.736655 | − | 1.06758i | ||||
\(776\) | 1.14280 | − | 1.36193i | 0.0410240 | − | 0.0488905i | ||||
\(777\) | −52.7623 | − | 11.6366i | −1.89284 | − | 0.417459i | ||||
\(778\) | 7.64512 | 0.274091 | ||||||||
\(779\) | −13.9644 | + | 23.7921i | −0.500325 | + | 0.852439i | ||||
\(780\) | −13.6950 | − | 2.35091i | −0.490361 | − | 0.0841762i | ||||
\(781\) | 7.97493 | + | 1.40620i | 0.285365 | + | 0.0503176i | ||||
\(782\) | −2.53710 | + | 3.02360i | −0.0907266 | + | 0.108124i | ||||
\(783\) | 31.2003 | + | 16.1119i | 1.11501 | + | 0.575791i | ||||
\(784\) | 10.5526 | − | 3.84082i | 0.376877 | − | 0.137172i | ||||
\(785\) | 8.01028 | + | 12.4789i | 0.285899 | + | 0.445389i | ||||
\(786\) | 6.56216 | + | 12.5722i | 0.234065 | + | 0.448435i | ||||
\(787\) | −11.8390 | + | 20.5058i | −0.422015 | + | 0.730951i | −0.996136 | − | 0.0878189i | \(-0.972010\pi\) |
0.574122 | + | 0.818770i | \(0.305344\pi\) | |||||||
\(788\) | 0.188312 | + | 1.06797i | 0.00670832 | + | 0.0380448i | ||||
\(789\) | −5.09796 | − | 38.3981i | −0.181492 | − | 1.36701i | ||||
\(790\) | 18.9998 | − | 24.9378i | 0.675982 | − | 0.887249i | ||||
\(791\) | −17.7433 | − | 30.7323i | −0.630880 | − | 1.09272i | ||||
\(792\) | −6.69217 | + | 4.70777i | −0.237796 | + | 0.167283i | ||||
\(793\) | −5.23083 | + | 1.90386i | −0.185752 | + | 0.0676082i | ||||
\(794\) | 3.94436 | + | 1.43563i | 0.139980 | + | 0.0509486i | ||||
\(795\) | 0.915388 | − | 0.775192i | 0.0324655 | − | 0.0274932i | ||||
\(796\) | 0.142298 | − | 0.807010i | 0.00504361 | − | 0.0286037i | ||||
\(797\) | − | 6.10678i | − | 0.216313i | −0.994134 | − | 0.108157i | \(-0.965505\pi\) | ||
0.994134 | − | 0.108157i | \(-0.0344948\pi\) | |||||||
\(798\) | −7.16763 | + | 31.4281i | −0.253731 | + | 1.11254i | ||||
\(799\) | 16.8778 | 0.597094 | ||||||||
\(800\) | −4.54594 | − | 2.08192i | −0.160723 | − | 0.0736071i | ||||
\(801\) | 20.1819 | + | 20.0937i | 0.713093 | + | 0.709977i | ||||
\(802\) | −8.92377 | + | 24.5178i | −0.315109 | + | 0.865755i | ||||
\(803\) | −32.4238 | + | 11.8013i | −1.14421 | + | 0.416459i | ||||
\(804\) | −7.72201 | + | 5.93875i | −0.272334 | + | 0.209443i | ||||
\(805\) | 4.73292 | − | 1.97950i | 0.166813 | − | 0.0697684i | ||||
\(806\) | 12.9550 | − | 22.4387i | 0.456321 | − | 0.790371i | ||||
\(807\) | 1.15711 | + | 8.71543i | 0.0407324 | + | 0.306798i | ||||
\(808\) | −2.79151 | − | 15.8314i | −0.0982050 | − | 0.556948i | ||||
\(809\) | −32.4315 | − | 18.7243i | −1.14023 | − | 0.658313i | −0.193743 | − | 0.981052i | \(-0.562063\pi\) |
−0.946488 | + | 0.322739i | \(0.895396\pi\) | |||||||
\(810\) | 19.6130 | − | 4.50911i | 0.689129 | − | 0.158434i | ||||
\(811\) | −18.1899 | − | 21.6779i | −0.638734 | − | 0.761213i | 0.345436 | − | 0.938442i | \(-0.387731\pi\) |
−0.984170 | + | 0.177229i | \(0.943287\pi\) | |||||||
\(812\) | 9.86850 | + | 27.1135i | 0.346317 | + | 0.951497i | ||||
\(813\) | 24.1713 | + | 9.98112i | 0.847726 | + | 0.350053i | ||||
\(814\) | 15.2647 | + | 12.8086i | 0.535027 | + | 0.448941i | ||||
\(815\) | −7.27136 | − | 2.26523i | −0.254704 | − | 0.0793475i | ||||
\(816\) | −12.7110 | − | 0.541036i | −0.444974 | − | 0.0189401i | ||||
\(817\) | 1.90853 | − | 1.08375i | 0.0667710 | − | 0.0379156i | ||||
\(818\) | 32.7343 | 1.14453 | ||||||||
\(819\) | 44.4154 | + | 11.7969i | 1.55200 | + | 0.412218i | ||||
\(820\) | 9.59676 | + | 10.4011i | 0.335133 | + | 0.363222i | ||||
\(821\) | −15.5412 | + | 42.6992i | −0.542393 | + | 1.49021i | 0.301375 | + | 0.953506i | \(0.402554\pi\) |
−0.843769 | + | 0.536707i | \(0.819668\pi\) | |||||||
\(822\) | 10.3543 | + | 32.7148i | 0.361148 | + | 1.14106i | ||||
\(823\) | 31.4264 | + | 37.4525i | 1.09546 | + | 1.30551i | 0.948643 | + | 0.316349i | \(0.102457\pi\) |
0.146813 | + | 0.989164i | \(0.453098\pi\) | |||||||
\(824\) | −7.94208 | + | 4.58536i | −0.276675 | + | 0.159739i | ||||
\(825\) | −16.0955 | − | 17.2869i | −0.560375 | − | 0.601851i | ||||
\(826\) | 7.27844 | + | 41.2781i | 0.253249 | + | 1.43625i | ||||
\(827\) | 45.4401 | − | 8.01231i | 1.58011 | − | 0.278615i | 0.686385 | − | 0.727238i | \(-0.259196\pi\) |
0.893721 | + | 0.448622i | \(0.148085\pi\) | |||||||
\(828\) | 0.921743 | − | 1.32254i | 0.0320328 | − | 0.0459614i | ||||
\(829\) | 26.5879 | − | 15.3506i | 0.923437 | − | 0.533147i | 0.0387074 | − | 0.999251i | \(-0.487676\pi\) |
0.884730 | + | 0.466104i | \(0.154343\pi\) | |||||||
\(830\) | 17.5610 | + | 27.3575i | 0.609551 | + | 0.949593i | ||||
\(831\) | −2.79615 | − | 8.83454i | −0.0969975 | − | 0.306467i | ||||
\(832\) | −3.37139 | − | 1.22709i | −0.116882 | − | 0.0425416i | ||||
\(833\) | 63.1886 | + | 53.0215i | 2.18936 | + | 1.83709i | ||||
\(834\) | −10.4123 | − | 2.29639i | −0.360548 | − | 0.0795176i | ||||
\(835\) | −3.51059 | + | 27.3920i | −0.121489 | + | 0.947941i | ||||
\(836\) | 7.70674 | − | 9.05215i | 0.266543 | − | 0.313075i | ||||
\(837\) | −4.77587 | + | 37.2203i | −0.165078 | + | 1.28652i | ||||
\(838\) | 3.98286 | − | 22.5879i | 0.137586 | − | 0.780286i | ||||
\(839\) | −6.12323 | − | 5.13800i | −0.211397 | − | 0.177383i | 0.530941 | − | 0.847409i | \(-0.321839\pi\) |
−0.742338 | + | 0.670026i | \(0.766283\pi\) | |||||||
\(840\) | 14.3581 | + | 8.20319i | 0.495401 | + | 0.283037i | ||||
\(841\) | −15.6633 | + | 5.70098i | −0.540114 | + | 0.196585i | ||||
\(842\) | −4.15377 | + | 3.48542i | −0.143148 | + | 0.120116i | ||||
\(843\) | 1.84511 | + | 3.53497i | 0.0635490 | + | 0.121751i | ||||
\(844\) | −5.29226 | − | 3.05549i | −0.182167 | − | 0.105174i | ||||
\(845\) | 0.0134628 | + | 0.285824i | 0.000463134 | + | 0.00983264i | ||||
\(846\) | −6.86571 | + | 0.615819i | −0.236048 | + | 0.0211723i | ||||
\(847\) | 13.1683 | + | 7.60275i | 0.452470 | + | 0.261234i | ||||
\(848\) | 0.268222 | − | 0.154858i | 0.00921078 | − | 0.00531784i | ||||
\(849\) | −6.42846 | − | 8.35877i | −0.220624 | − | 0.286872i | ||||
\(850\) | −3.45212 | − | 36.5641i | −0.118407 | − | 1.25414i | ||||
\(851\) | −3.68918 | − | 1.34275i | −0.126463 | − | 0.0460289i | ||||
\(852\) | −3.79537 | − | 3.47018i | −0.130027 | − | 0.118886i | ||||
\(853\) | −8.66551 | − | 1.52796i | −0.296701 | − | 0.0523165i | 0.0233159 | − | 0.999728i | \(-0.492578\pi\) |
−0.320017 | + | 0.947412i | \(0.603689\pi\) | |||||||
\(854\) | 6.62448 | 0.226685 | ||||||||
\(855\) | −25.9572 | + | 13.4619i | −0.887719 | + | 0.460386i | ||||
\(856\) | −5.19835 | −0.177676 | ||||||||
\(857\) | 44.3957 | + | 7.82816i | 1.51653 | + | 0.267405i | 0.869068 | − | 0.494693i | \(-0.164720\pi\) |
0.647461 | + | 0.762098i | \(0.275831\pi\) | |||||||
\(858\) | −12.5083 | − | 11.4366i | −0.427027 | − | 0.390439i | ||||
\(859\) | 28.4775 | + | 10.3650i | 0.971639 | + | 0.353648i | 0.778584 | − | 0.627540i | \(-0.215938\pi\) |
0.193055 | + | 0.981188i | \(0.438160\pi\) | |||||||
\(860\) | −0.247460 | − | 1.09836i | −0.00843833 | − | 0.0374538i | ||||
\(861\) | −28.5333 | − | 37.1012i | −0.972412 | − | 1.26440i | ||||
\(862\) | −29.5246 | + | 17.0460i | −1.00561 | + | 0.580590i | ||||
\(863\) | −38.2902 | − | 22.1068i | −1.30341 | − | 0.752525i | −0.322424 | − | 0.946595i | \(-0.604498\pi\) |
−0.980988 | + | 0.194070i | \(0.937831\pi\) | |||||||
\(864\) | 5.19043 | − | 0.243697i | 0.176582 | − | 0.00829075i | ||||
\(865\) | 36.4923 | − | 1.71885i | 1.24078 | − | 0.0584426i | ||||
\(866\) | −3.45006 | − | 1.99189i | −0.117238 | − | 0.0676873i | ||||
\(867\) | −29.6170 | − | 56.7420i | −1.00585 | − | 1.92706i | ||||
\(868\) | −23.6205 | + | 19.8200i | −0.801733 | + | 0.672733i | ||||
\(869\) | 35.9336 | − | 13.0788i | 1.21896 | − | 0.443667i | ||||
\(870\) | −12.9838 | + | 22.7255i | −0.440190 | + | 0.770468i | ||||
\(871\) | −15.4577 | − | 12.9706i | −0.523765 | − | 0.439491i | ||||
\(872\) | 0.250728 | − | 1.42195i | 0.00849071 | − | 0.0481532i | ||||
\(873\) | −5.31434 | − | 0.453224i | −0.179863 | − | 0.0153393i | ||||
\(874\) | −0.816833 | + | 2.19521i | −0.0276298 | + | 0.0742542i | ||||
\(875\) | −17.8125 | + | 44.2881i | −0.602173 | + | 1.49721i | ||||
\(876\) | 21.3982 | + | 4.71931i | 0.722979 | + | 0.159451i | ||||
\(877\) | 1.96201 | + | 1.64632i | 0.0662524 | + | 0.0555923i | 0.675313 | − | 0.737532i | \(-0.264009\pi\) |
−0.609060 | + | 0.793124i | \(0.708453\pi\) | |||||||
\(878\) | −14.4995 | − | 5.27740i | −0.489335 | − | 0.178104i | ||||
\(879\) | 7.96337 | + | 25.1605i | 0.268598 | + | 0.848643i | ||||
\(880\) | −3.29444 | − | 5.13226i | −0.111056 | − | 0.173009i | ||||
\(881\) | 45.9433 | − | 26.5254i | 1.54787 | − | 0.893663i | 0.549566 | − | 0.835450i | \(-0.314793\pi\) |
0.998304 | − | 0.0582130i | \(-0.0185403\pi\) | |||||||
\(882\) | −27.6390 | − | 19.2630i | −0.930653 | − | 0.648619i | ||||
\(883\) | 4.53659 | − | 0.799923i | 0.152668 | − | 0.0269196i | −0.0967915 | − | 0.995305i | \(-0.530858\pi\) |
0.249460 | + | 0.968385i | \(0.419747\pi\) | |||||||
\(884\) | −4.57621 | − | 25.9530i | −0.153915 | − | 0.872894i | ||||
\(885\) | −24.3072 | + | 29.2361i | −0.817079 | + | 0.982760i | ||||
\(886\) | −26.3427 | + | 15.2090i | −0.885000 | + | 0.510955i | ||||
\(887\) | −30.6920 | − | 36.5773i | −1.03054 | − | 1.22815i | −0.973240 | − | 0.229789i | \(-0.926196\pi\) |
−0.0572966 | − | 0.998357i | \(-0.518248\pi\) | |||||||
\(888\) | −3.81850 | − | 12.0647i | −0.128140 | − | 0.404864i | ||||
\(889\) | −7.43343 | + | 20.4232i | −0.249309 | + | 0.684972i | ||||
\(890\) | −15.6010 | + | 14.3945i | −0.522946 | + | 0.482506i | ||||
\(891\) | 23.1028 | + | 8.29436i | 0.773972 | + | 0.277871i | ||||
\(892\) | 20.5864 | 0.689282 | ||||||||
\(893\) | 9.43595 | − | 3.35811i | 0.315762 | − | 0.112375i | ||||
\(894\) | −30.6205 | − | 1.30334i | −1.02410 | − | 0.0435903i | ||||
\(895\) | −7.79077 | + | 25.0083i | −0.260417 | + | 0.835934i | ||||
\(896\) | 3.27073 | + | 2.74447i | 0.109268 | + | 0.0916863i | ||||
\(897\) | 3.08641 | + | 1.27448i | 0.103052 | + | 0.0425536i | ||||
\(898\) | −8.74809 | − | 24.0352i | −0.291927 | − | 0.802064i | ||||
\(899\) | −31.3704 | − | 37.3858i | −1.04626 | − | 1.24689i | ||||
\(900\) | 2.73839 | + | 14.7479i | 0.0912798 | + | 0.491597i | ||||
\(901\) | 1.97018 | + | 1.13749i | 0.0656363 | + | 0.0378951i | ||||
\(902\) | 2.99746 | + | 16.9994i | 0.0998044 | + | 0.566019i | ||||
\(903\) | 0.490068 | + | 3.69121i | 0.0163084 | + | 0.122836i | ||||
\(904\) | 4.15570 | − | 7.19788i | 0.138216 | − | 0.239398i | ||||
\(905\) | −19.7972 | + | 8.28002i | −0.658081 | + | 0.275237i | ||||
\(906\) | −13.7087 | + | 10.5429i | −0.455442 | + | 0.350266i | ||||
\(907\) | 12.6617 | − | 4.60846i | 0.420423 | − | 0.153022i | −0.123141 | − | 0.992389i | \(-0.539297\pi\) |
0.543564 | + | 0.839368i | \(0.317074\pi\) | |||||||
\(908\) | −2.94720 | + | 8.09736i | −0.0978062 | + | 0.268720i | ||||
\(909\) | −34.0269 | + | 34.1762i | −1.12860 | + | 1.13355i | ||||
\(910\) | −10.1879 | + | 32.7029i | −0.337725 | + | 1.08409i | ||||
\(911\) | 5.70394 | 0.188980 | 0.0944899 | − | 0.995526i | \(-0.469878\pi\) | ||||
0.0944899 | + | 0.995526i | \(0.469878\pi\) | |||||||
\(912\) | −7.21404 | + | 2.22658i | −0.238881 | + | 0.0737294i | ||||
\(913\) | 39.6519i | 1.31229i | ||||||||
\(914\) | −0.872599 | + | 4.94876i | −0.0288630 | + | 0.163690i | ||||
\(915\) | 3.88335 | + | 4.58567i | 0.128380 | + | 0.151598i | ||||
\(916\) | 20.1874 | + | 7.34762i | 0.667011 | + | 0.242772i | ||||
\(917\) | 32.8508 | − | 11.9567i | 1.08483 | − | 0.394845i | ||||
\(918\) | 20.6130 | + | 32.1227i | 0.680330 | + | 1.06021i | ||||
\(919\) | −13.1437 | − | 22.7656i | −0.433572 | − | 0.750969i | 0.563606 | − | 0.826044i | \(-0.309414\pi\) |
−0.997178 | + | 0.0750748i | \(0.976080\pi\) | |||||||
\(920\) | 0.955762 | + | 0.728182i | 0.0315105 | + | 0.0240074i | ||||
\(921\) | 3.70782 | + | 27.9275i | 0.122177 | + | 0.920241i | ||||
\(922\) | 2.03556 | + | 11.5443i | 0.0670377 | + | 0.380190i | ||||
\(923\) | 5.32624 | − | 9.22532i | 0.175315 | − | 0.303655i | ||||
\(924\) | 9.33292 | + | 17.8806i | 0.307030 | + | 0.588227i | ||||
\(925\) | 33.0011 | − | 15.6654i | 1.08507 | − | 0.515077i | ||||
\(926\) | −30.5534 | + | 11.1205i | −1.00405 | + | 0.365443i | ||||
\(927\) | 24.9599 | + | 11.5725i | 0.819790 | + | 0.380092i | ||||
\(928\) | −4.34386 | + | 5.17681i | −0.142594 | + | 0.169937i | ||||
\(929\) | 50.7146 | + | 8.94235i | 1.66389 | + | 0.293389i | 0.924867 | − | 0.380290i | \(-0.124176\pi\) |
0.739024 | + | 0.673679i | \(0.235287\pi\) | |||||||
\(930\) | −27.5666 | − | 4.73213i | −0.903945 | − | 0.155173i | ||||
\(931\) | 45.8766 | + | 17.0706i | 1.50354 | + | 0.559465i | ||||
\(932\) | 22.5106 | 0.737360 | ||||||||
\(933\) | −0.756210 | − | 0.166780i | −0.0247572 | − | 0.00546012i | ||||
\(934\) | 20.8325 | − | 24.8273i | 0.681662 | − | 0.812373i | ||||
\(935\) | 20.5482 | − | 39.8059i | 0.671999 | − | 1.30179i | ||||
\(936\) | 2.80849 | + | 10.3904i | 0.0917985 | + | 0.339621i | ||||
\(937\) | −20.9514 | − | 24.9689i | −0.684452 | − | 0.815698i | 0.306221 | − | 0.951961i | \(-0.400935\pi\) |
−0.990673 | + | 0.136262i | \(0.956491\pi\) | |||||||
\(938\) | 12.0069 | + | 20.7965i | 0.392038 | + | 0.679029i | ||||
\(939\) | −43.5504 | − | 27.6777i | −1.42121 | − | 0.903227i | ||||
\(940\) | −0.241737 | − | 5.13225i | −0.00788461 | − | 0.167396i | ||||
\(941\) | −2.77675 | − | 15.7477i | −0.0905195 | − | 0.513362i | −0.996029 | − | 0.0890348i | \(-0.971622\pi\) |
0.905509 | − | 0.424327i | \(-0.139489\pi\) | |||||||
\(942\) | 6.16090 | − | 9.69408i | 0.200733 | − | 0.315850i | ||||
\(943\) | −1.70044 | − | 2.94526i | −0.0553741 | − | 0.0959107i | ||||
\(944\) | −7.52023 | + | 6.31022i | −0.244763 | + | 0.205380i | ||||
\(945\) | −4.65555 | − | 49.3898i | −0.151445 | − | 1.60665i | ||||
\(946\) | 0.469690 | − | 1.29046i | 0.0152709 | − | 0.0419566i | ||||
\(947\) | −27.1534 | − | 22.7844i | −0.882368 | − | 0.740394i | 0.0842968 | − | 0.996441i | \(-0.473136\pi\) |
−0.966665 | + | 0.256046i | \(0.917580\pi\) | |||||||
\(948\) | −23.7145 | − | 5.23016i | −0.770212 | − | 0.169868i | ||||
\(949\) | 45.3894i | 1.47340i | ||||||||
\(950\) | −9.20501 | − | 19.7552i | −0.298650 | − | 0.640943i | ||||
\(951\) | −0.00337001 | + | 0.0791743i | −0.000109280 | + | 0.00256740i | ||||
\(952\) | −5.44595 | + | 30.8855i | −0.176504 | + | 1.00101i | ||||
\(953\) | 10.7005 | − | 12.7524i | 0.346624 | − | 0.413090i | −0.564362 | − | 0.825527i | \(-0.690878\pi\) |
0.910986 | + | 0.412437i | \(0.135322\pi\) | |||||||
\(954\) | −0.842951 | − | 0.390830i | −0.0272916 | − | 0.0126536i | ||||
\(955\) | 6.14997 | + | 27.2968i | 0.199008 | + | 0.883305i | ||||
\(956\) | 0.169378 | + | 0.201857i | 0.00547809 | + | 0.00652853i | ||||
\(957\) | −28.3008 | + | 14.7719i | −0.914835 | + | 0.477506i | ||||
\(958\) | 1.85147 | − | 3.20684i | 0.0598183 | − | 0.103608i | ||||
\(959\) | 83.3022 | − | 14.6884i | 2.68997 | − | 0.474314i | ||||
\(960\) | 0.0175374 | + | 3.87294i | 0.000566016 | + | 0.124999i | ||||
\(961\) | 10.5771 | − | 18.3200i | 0.341196 | − | 0.590968i | ||||
\(962\) | 22.7007 | − | 13.1063i | 0.731901 | − | 0.422563i | ||||
\(963\) | 8.97289 | + | 12.7551i | 0.289147 | + | 0.411027i | ||||
\(964\) | 5.16482 | + | 14.1902i | 0.166348 | + | 0.457037i | ||||
\(965\) | 25.8225 | + | 13.3299i | 0.831256 | + | 0.429104i | ||||
\(966\) | −2.93275 | − | 2.68148i | −0.0943598 | − | 0.0862750i | ||||
\(967\) | 38.7552 | + | 6.83359i | 1.24628 | + | 0.219753i | 0.757607 | − | 0.652711i | \(-0.226369\pi\) |
0.488677 | + | 0.872465i | \(0.337480\pi\) | |||||||
\(968\) | 3.56131i | 0.114465i | ||||||||
\(969\) | −40.6587 | − | 37.7129i | −1.30614 | − | 1.21151i | ||||
\(970\) | 0.505364 | − | 3.94320i | 0.0162263 | − | 0.126608i | ||||
\(971\) | 4.66203 | − | 26.4397i | 0.149612 | − | 0.848490i | −0.813936 | − | 0.580954i | \(-0.802679\pi\) |
0.963548 | − | 0.267536i | \(-0.0862094\pi\) | |||||||
\(972\) | −9.55719 | − | 12.3150i | −0.306547 | − | 0.395005i | ||||
\(973\) | −8.98962 | + | 24.6988i | −0.288194 | + | 0.791806i | ||||
\(974\) | 9.30360 | + | 25.5614i | 0.298107 | + | 0.819041i | ||||
\(975\) | −28.6102 | + | 12.1185i | −0.916260 | + | 0.388103i | ||||
\(976\) | 0.775766 | + | 1.34367i | 0.0248317 | + | 0.0430097i | ||||
\(977\) | −5.95492 | − | 3.43808i | −0.190515 | − | 0.109994i | 0.401709 | − | 0.915768i | \(-0.368416\pi\) |
−0.592224 | + | 0.805774i | \(0.701750\pi\) | |||||||
\(978\) | 0.776421 | + | 5.84803i | 0.0248272 | + | 0.186999i | ||||
\(979\) | −25.4981 | + | 4.49600i | −0.814921 | + | 0.143693i | ||||
\(980\) | 15.2179 | − | 19.9740i | 0.486117 | − | 0.638045i | ||||
\(981\) | −3.92179 | + | 1.83922i | −0.125213 | + | 0.0587219i | ||||
\(982\) | 29.8074 | − | 25.0114i | 0.951194 | − | 0.798146i | ||||
\(983\) | 1.69420 | + | 4.65478i | 0.0540366 | + | 0.148464i | 0.963774 | − | 0.266719i | \(-0.0859396\pi\) |
−0.909738 | + | 0.415184i | \(0.863717\pi\) | |||||||
\(984\) | 4.18394 | − | 10.1323i | 0.133379 | − | 0.323005i | ||||
\(985\) | 1.64436 | + | 1.78218i | 0.0523937 | + | 0.0567850i | ||||
\(986\) | −48.8846 | − | 8.61968i | −1.55680 | − | 0.274507i | ||||
\(987\) | −0.722619 | + | 16.9771i | −0.0230012 | + | 0.540386i | ||||
\(988\) | −7.72220 | − | 13.5991i | −0.245676 | − | 0.432646i | ||||
\(989\) | 0.270564i | 0.00860343i | ||||||||
\(990\) | −6.90640 | + | 16.9423i | −0.219500 | + | 0.538463i | ||||
\(991\) | 16.5125 | − | 19.6789i | 0.524538 | − | 0.625120i | −0.437110 | − | 0.899408i | \(-0.643998\pi\) |
0.961647 | + | 0.274289i | \(0.0884423\pi\) | |||||||
\(992\) | −6.78625 | − | 2.46999i | −0.215464 | − | 0.0784224i | ||||
\(993\) | 13.2731 | + | 41.9368i | 0.421209 | + | 1.33082i | ||||
\(994\) | −9.71118 | + | 8.14865i | −0.308020 | + | 0.258460i | ||||
\(995\) | −0.707025 | − | 1.69047i | −0.0224142 | − | 0.0535915i | ||||
\(996\) | 13.5066 | − | 21.2524i | 0.427973 | − | 0.673409i | ||||
\(997\) | −20.6459 | + | 3.64043i | −0.653861 | + | 0.115293i | −0.490731 | − | 0.871311i | \(-0.663270\pi\) |
−0.163130 | + | 0.986605i | \(0.552159\pi\) | |||||||
\(998\) | 8.45518 | − | 1.49088i | 0.267644 | − | 0.0471929i | ||||
\(999\) | −23.0118 | + | 30.1943i | −0.728060 | + | 0.955305i |
(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 | 570.2.bf.a.59.15 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.59.37 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.59.26 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.59.4 | yes | 240 | |
19.10 | odd | 18 | inner | 570.2.bf.a.29.4 | ✓ | 240 | |
57.29 | even | 18 | inner | 570.2.bf.a.29.26 | yes | 240 | |
95.29 | odd | 18 | inner | 570.2.bf.a.29.37 | yes | 240 | |
285.29 | even | 18 | inner | 570.2.bf.a.29.15 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.4 | ✓ | 240 | 19.10 | odd | 18 | inner | |
570.2.bf.a.29.15 | yes | 240 | 285.29 | even | 18 | inner | |
570.2.bf.a.29.26 | yes | 240 | 57.29 | even | 18 | inner | |
570.2.bf.a.29.37 | yes | 240 | 95.29 | odd | 18 | inner | |
570.2.bf.a.59.4 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.59.15 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.59.26 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.59.37 | yes | 240 | 3.2 | odd | 2 | inner |