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 | 59.4 | ||
Character | \(\chi\) | \(=\) | 570.59 |
Dual form | 570.2.bf.a.29.4 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{18}\right)\) | \(-1\) |
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 | ||||
\(3\) | −1.37297 | − | 1.05591i | −0.792687 | − | 0.609629i | ||||
\(4\) | 0.939693 | + | 0.342020i | 0.469846 | + | 0.171010i | ||||
\(5\) | 1.98695 | − | 1.02568i | 0.888591 | − | 0.458700i | ||||
\(6\) | 1.16876 | + | 1.27828i | 0.477144 | + | 0.521856i | ||||
\(7\) | 3.69762 | − | 2.13482i | 1.39757 | − | 0.806886i | 0.403430 | − | 0.915011i | \(-0.367818\pi\) |
0.994137 | + | 0.108125i | \(0.0344846\pi\) | |||||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | 0.770112 | + | 2.89947i | 0.256704 | + | 0.966490i | ||||
\(10\) | −2.13487 | + | 0.665072i | −0.675106 | + | 0.210314i | ||||
\(11\) | 2.36199 | + | 1.36370i | 0.712168 | + | 0.411171i | 0.811863 | − | 0.583848i | \(-0.198453\pi\) |
−0.0996951 | + | 0.995018i | \(0.531787\pi\) | |||||||
\(12\) | −0.929031 | − | 1.46181i | −0.268188 | − | 0.421990i | ||||
\(13\) | 2.74838 | − | 2.30617i | 0.762265 | − | 0.639616i | −0.176451 | − | 0.984310i | \(-0.556462\pi\) |
0.938715 | + | 0.344693i | \(0.112017\pi\) | |||||||
\(14\) | −4.01215 | + | 1.46030i | −1.07229 | + | 0.390282i | ||||
\(15\) | −3.81106 | − | 0.689801i | −0.984011 | − | 0.178106i | ||||
\(16\) | 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 | ||||
\(21\) | −7.33090 | − | 0.973296i | −1.59973 | − | 0.212391i | ||||
\(22\) | −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 | \(0.628953\pi\) | |||||||
\(24\) | 0.661075 | + | 1.60093i | 0.134941 | + | 0.326789i | ||||
\(25\) | 2.89594 | − | 4.07597i | 0.579188 | − | 0.815194i | ||||
\(26\) | −3.10709 | + | 1.79388i | −0.609351 | + | 0.351809i | ||||
\(27\) | 2.00423 | − | 4.79406i | 0.385715 | − | 0.922618i | ||||
\(28\) | 4.20477 | − | 0.741415i | 0.794627 | − | 0.140114i | ||||
\(29\) | 1.17349 | + | 6.65518i | 0.217911 | + | 1.23584i | 0.875782 | + | 0.482706i | \(0.160346\pi\) |
−0.657871 | + | 0.753131i | \(0.728543\pi\) | |||||||
\(30\) | 3.63338 | + | 1.34110i | 0.663361 | + | 0.244851i | ||||
\(31\) | 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 | ||||
\(33\) | −1.80301 | − | 4.36637i | −0.313865 | − | 0.760088i | ||||
\(34\) | 2.51226 | − | 6.90237i | 0.430849 | − | 1.18375i | ||||
\(35\) | 5.15732 | − | 8.03437i | 0.871747 | − | 1.35806i | ||||
\(36\) | −0.268009 | + | 2.98800i | −0.0446681 | + | 0.498001i | ||||
\(37\) | −7.30610 | −1.20112 | −0.600558 | − | 0.799581i | \(-0.705055\pi\) | ||||
−0.600558 | + | 0.799581i | \(0.705055\pi\) | |||||||
\(38\) | 0.0311996 | − | 4.35879i | 0.00506125 | − | 0.707089i | ||||
\(39\) | −6.20856 | + | 0.264264i | −0.994166 | + | 0.0423161i | ||||
\(40\) | −2.23359 | − | 0.105206i | −0.353162 | − | 0.0166345i | ||||
\(41\) | −4.84829 | − | 4.06820i | −0.757175 | − | 0.635346i | 0.180215 | − | 0.983627i | \(-0.442321\pi\) |
−0.937390 | + | 0.348282i | \(0.886765\pi\) | |||||||
\(42\) | 7.05052 | + | 2.23151i | 1.08792 | + | 0.344329i | ||||
\(43\) | 0.172212 | + | 0.473148i | 0.0262621 | + | 0.0721545i | 0.952131 | − | 0.305691i | \(-0.0988874\pi\) |
−0.925869 | + | 0.377845i | \(0.876665\pi\) | |||||||
\(44\) | 1.75314 | + | 2.08931i | 0.264295 | + | 0.314975i | ||||
\(45\) | 4.50412 | + | 4.97121i | 0.671434 | + | 0.741064i | ||||
\(46\) | 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 | \(0.998040\pi\) | |||||||
\(48\) | −0.373033 | − | 1.69140i | −0.0538427 | − | 0.244133i | ||||
\(49\) | 5.61490 | − | 9.72530i | 0.802129 | − | 1.38933i | ||||
\(50\) | −3.55973 | + | 3.51117i | −0.503422 | + | 0.496555i | ||||
\(51\) | 9.38942 | − | 8.58494i | 1.31478 | − | 1.20213i | ||||
\(52\) | 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 | \(0.104340\pi\) | |||||||
\(54\) | −2.80627 | + | 4.37320i | −0.381884 | + | 0.595117i | ||||
\(55\) | 6.09189 | + | 0.286938i | 0.821430 | + | 0.0386907i | ||||
\(56\) | −4.26964 | −0.570554 | ||||||||
\(57\) | 3.54127 | − | 6.66779i | 0.469053 | − | 0.883170i | ||||
\(58\) | − | 6.75785i | − | 0.887349i | ||||||
\(59\) | 1.70470 | − | 9.66782i | 0.221933 | − | 1.25864i | −0.646530 | − | 0.762888i | \(-0.723781\pi\) |
0.868463 | − | 0.495754i | \(-0.165108\pi\) | |||||||
\(60\) | −3.34530 | − | 1.95166i | −0.431876 | − | 0.251958i | ||||
\(61\) | 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 | ||||
\(63\) | 9.03742 | + | 9.07708i | 1.13861 | + | 1.14360i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 3.09550 | − | 7.40122i | 0.383950 | − | 0.918008i | ||||
\(66\) | 1.01741 | + | 4.61313i | 0.125235 | + | 0.567837i | ||||
\(67\) | −0.976649 | − | 5.53885i | −0.119317 | − | 0.676679i | −0.984522 | − | 0.175261i | \(-0.943923\pi\) |
0.865205 | − | 0.501418i | \(-0.167188\pi\) | |||||||
\(68\) | −3.67267 | + | 6.36126i | −0.445377 | + | 0.771416i | ||||
\(69\) | 0.499216 | + | 0.785507i | 0.0600985 | + | 0.0945640i | ||||
\(70\) | −6.47413 | + | 7.01675i | −0.773806 | + | 0.838662i | ||||
\(71\) | 2.79006 | − | 1.01550i | 0.331119 | − | 0.120517i | −0.171111 | − | 0.985252i | \(-0.554736\pi\) |
0.502229 | + | 0.864734i | \(0.332513\pi\) | |||||||
\(72\) | 0.782799 | − | 2.89607i | 0.0922537 | − | 0.341305i | ||||
\(73\) | −8.13201 | + | 9.69135i | −0.951780 | + | 1.13429i | 0.0390588 | + | 0.999237i | \(0.487564\pi\) |
−0.990839 | + | 0.135050i | \(0.956880\pi\) | |||||||
\(74\) | 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 | ||||||||
\(78\) | 6.16013 | + | 0.817857i | 0.697497 | + | 0.0926040i | ||||
\(79\) | −9.01228 | + | 10.7404i | −1.01396 | + | 1.20839i | −0.0360534 | + | 0.999350i | \(0.511479\pi\) |
−0.977907 | + | 0.209041i | \(0.932966\pi\) | |||||||
\(80\) | 2.18139 | + | 0.491467i | 0.243887 | + | 0.0549476i | ||||
\(81\) | −7.81386 | + | 4.46583i | −0.868206 | + | 0.496204i | ||||
\(82\) | 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 | \(-0.460721\pi\) | |||||||
\(84\) | −6.55591 | − | 3.42191i | −0.715308 | − | 0.373362i | ||||
\(85\) | 4.88519 | + | 15.6814i | 0.529873 | + | 1.70088i | ||||
\(86\) | −0.0874343 | − | 0.495865i | −0.00942828 | − | 0.0534704i | ||||
\(87\) | 5.41610 | − | 10.3765i | 0.580667 | − | 1.11248i | ||||
\(88\) | −1.36370 | − | 2.36199i | −0.145371 | − | 0.251789i | ||||
\(89\) | −7.27212 | + | 6.10204i | −0.770844 | + | 0.646815i | −0.940925 | − | 0.338615i | \(-0.890041\pi\) |
0.170081 | + | 0.985430i | \(0.445597\pi\) | |||||||
\(90\) | −3.57245 | − | 5.67782i | −0.376569 | − | 0.598495i | ||||
\(91\) | 5.23922 | − | 14.3946i | 0.549219 | − | 1.50897i | ||||
\(92\) | −0.411635 | − | 0.345403i | −0.0429159 | − | 0.0360107i | ||||
\(93\) | −12.3997 | − | 1.64626i | −1.28579 | − | 0.170709i | ||||
\(94\) | 2.29776i | 0.236995i | ||||||||
\(95\) | 5.85124 | + | 7.79506i | 0.600325 | + | 0.799756i | ||||
\(96\) | 0.0736570 | + | 1.73048i | 0.00751759 | + | 0.176617i | ||||
\(97\) | 0.308725 | − | 1.75087i | 0.0313463 | − | 0.177773i | −0.965115 | − | 0.261826i | \(-0.915675\pi\) |
0.996461 | + | 0.0840527i | \(0.0267864\pi\) | |||||||
\(98\) | −7.21838 | + | 8.60253i | −0.729167 | + | 0.868987i | ||||
\(99\) | −2.13500 | + | 7.89873i | −0.214576 | + | 0.793853i | ||||
\(100\) | 4.11536 | − | 2.83969i | 0.411536 | − | 0.283969i | ||||
\(101\) | −10.3332 | − | 12.3147i | −1.02820 | − | 1.22536i | −0.973934 | − | 0.226830i | \(-0.927164\pi\) |
−0.0542615 | − | 0.998527i | \(-0.517280\pi\) | |||||||
\(102\) | −10.7375 | + | 6.82405i | −1.06317 | + | 0.675682i | ||||
\(103\) | −4.58536 | + | 7.94208i | −0.451809 | + | 0.782556i | −0.998498 | − | 0.0547792i | \(-0.982554\pi\) |
0.546689 | + | 0.837335i | \(0.315888\pi\) | |||||||
\(104\) | −3.53326 | + | 0.623008i | −0.346464 | + | 0.0610910i | ||||
\(105\) | −15.5644 | + | 5.58531i | −1.51893 | + | 0.545070i | ||||
\(106\) | −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 | \(0.252485\pi\) | |||||||
\(108\) | 3.52303 | − | 3.81946i | 0.339004 | − | 0.367528i | ||||
\(109\) | 0.493837 | + | 1.35681i | 0.0473010 | + | 0.129958i | 0.961094 | − | 0.276222i | \(-0.0890826\pi\) |
−0.913793 | + | 0.406181i | \(0.866860\pi\) | |||||||
\(110\) | −5.94951 | − | 1.34042i | −0.567264 | − | 0.127804i | ||||
\(111\) | 10.0311 | + | 7.71458i | 0.952108 | + | 0.732235i | ||||
\(112\) | 4.20477 | + | 0.741415i | 0.397314 | + | 0.0700571i | ||||
\(113\) | 8.31139i | 0.781870i | 0.920418 | + | 0.390935i | \(0.127848\pi\) | ||||
−0.920418 | + | 0.390935i | \(0.872152\pi\) | |||||||
\(114\) | −4.64532 | + | 5.95156i | −0.435074 | + | 0.557414i | ||||
\(115\) | −1.19181 | + | 0.152743i | −0.111136 | + | 0.0142433i | ||||
\(116\) | −1.17349 | + | 6.65518i | −0.108956 | + | 0.617918i | ||||
\(117\) | 8.80323 | + | 6.19285i | 0.813859 | + | 0.572529i | ||||
\(118\) | −3.35760 | + | 9.22492i | −0.309092 | + | 0.849223i | ||||
\(119\) | 10.7264 | + | 29.4706i | 0.983290 | + | 2.70157i | ||||
\(120\) | 2.95557 | + | 2.50291i | 0.269806 | + | 0.228484i | ||||
\(121\) | −1.78065 | − | 3.08418i | −0.161878 | − | 0.280380i | ||||
\(122\) | −1.34367 | − | 0.775766i | −0.121650 | − | 0.0702346i | ||||
\(123\) | 2.36092 | + | 10.7049i | 0.212877 | + | 0.965226i | ||||
\(124\) | 7.11207 | − | 1.25405i | 0.638682 | − | 0.112617i | ||||
\(125\) | 1.57343 | − | 11.0691i | 0.140732 | − | 0.990048i | ||||
\(126\) | −7.32391 | − | 10.5085i | −0.652465 | − | 0.936172i | ||||
\(127\) | −3.89943 | + | 3.27201i | −0.346018 | + | 0.290344i | −0.799189 | − | 0.601080i | \(-0.794737\pi\) |
0.453171 | + | 0.891424i | \(0.350293\pi\) | |||||||
\(128\) | −0.342020 | − | 0.939693i | −0.0302306 | − | 0.0830579i | ||||
\(129\) | 0.263159 | − | 0.831460i | 0.0231699 | − | 0.0732060i | ||||
\(130\) | −4.33368 | + | 6.75125i | −0.380089 | + | 0.592124i | ||||
\(131\) | 8.06344 | + | 1.42180i | 0.704506 | + | 0.124223i | 0.514413 | − | 0.857543i | \(-0.328010\pi\) |
0.190093 | + | 0.981766i | \(0.439121\pi\) | |||||||
\(132\) | −0.200892 | − | 4.71972i | −0.0174854 | − | 0.410799i | ||||
\(133\) | 11.8605 | + | 14.3421i | 1.02844 | + | 1.24361i | ||||
\(134\) | 5.62430i | 0.485865i | ||||||||
\(135\) | −0.934886 | − | 11.5813i | −0.0804622 | − | 0.996758i | ||||
\(136\) | 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 | \(0.932285\pi\) | |||||||
\(138\) | −0.355229 | − | 0.860262i | −0.0302391 | − | 0.0732303i | ||||
\(139\) | 4.71577 | − | 3.95700i | 0.399986 | − | 0.335628i | −0.420502 | − | 0.907292i | \(-0.638146\pi\) |
0.820488 | + | 0.571663i | \(0.193702\pi\) | |||||||
\(140\) | 7.59422 | − | 5.78593i | 0.641828 | − | 0.489000i | ||||
\(141\) | −1.84154 | + | 3.52814i | −0.155086 | + | 0.297123i | ||||
\(142\) | −2.92401 | + | 0.515582i | −0.245377 | + | 0.0432666i | ||||
\(143\) | 9.63659 | − | 1.69919i | 0.805852 | − | 0.142093i | ||||
\(144\) | −1.27380 | + | 2.71614i | −0.106150 | + | 0.226345i | ||||
\(145\) | 9.15778 | + | 12.0199i | 0.760513 | + | 0.998197i | ||||
\(146\) | 9.69135 | − | 8.13201i | 0.802062 | − | 0.673010i | ||||
\(147\) | −17.9781 | + | 7.42375i | −1.48281 | + | 0.612301i | ||||
\(148\) | −6.86549 | − | 2.49883i | −0.564340 | − | 0.205403i | ||||
\(149\) | −11.3740 | + | 13.5550i | −0.931792 | + | 1.11047i | 0.0618727 | + | 0.998084i | \(0.480293\pi\) |
−0.993665 | + | 0.112383i | \(0.964152\pi\) | |||||||
\(150\) | 8.59489 | − | 1.06199i | 0.701770 | − | 0.0867114i | ||||
\(151\) | − | 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 | ||||
\(155\) | 8.72324 | − | 13.5895i | 0.700667 | − | 1.09154i | ||||
\(156\) | −5.92453 | − | 1.87513i | −0.474342 | − | 0.150130i | ||||
\(157\) | −2.26812 | − | 6.23161i | −0.181016 | − | 0.497336i | 0.815686 | − | 0.578496i | \(-0.196360\pi\) |
−0.996701 | + | 0.0811593i | \(0.974138\pi\) | |||||||
\(158\) | 10.7404 | − | 9.01228i | 0.854461 | − | 0.716978i | ||||
\(159\) | −0.452747 | + | 0.287736i | −0.0359052 | + | 0.0228189i | ||||
\(160\) | −2.06291 | − | 0.862794i | −0.163087 | − | 0.0682099i | ||||
\(161\) | −2.25944 | + | 0.398400i | −0.178069 | + | 0.0313983i | ||||
\(162\) | 8.47063 | − | 3.04113i | 0.665515 | − | 0.238933i | ||||
\(163\) | 2.94967 | + | 1.70300i | 0.231036 | + | 0.133389i | 0.611050 | − | 0.791592i | \(-0.290747\pi\) |
−0.380014 | + | 0.924981i | \(0.624081\pi\) | |||||||
\(164\) | −3.16450 | − | 5.48107i | −0.247106 | − | 0.427999i | ||||
\(165\) | −8.06102 | − | 6.82644i | −0.627550 | − | 0.531438i | ||||
\(166\) | 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 | \(0.952528\pi\) | |||||||
\(168\) | 5.86210 | + | 4.50835i | 0.452271 | + | 0.347827i | ||||
\(169\) | −0.0222211 | + | 0.126022i | −0.00170931 | + | 0.00969400i | ||||
\(170\) | −2.08793 | − | 16.2914i | −0.160137 | − | 1.24950i | ||||
\(171\) | −11.9026 | + | 5.41544i | −0.910218 | + | 0.414129i | ||||
\(172\) | 0.503514i | 0.0383926i | ||||||||
\(173\) | 16.0897 | + | 2.83705i | 1.22328 | + | 0.215697i | 0.747737 | − | 0.663995i | \(-0.231140\pi\) |
0.475543 | + | 0.879692i | \(0.342252\pi\) | |||||||
\(174\) | −7.13568 | + | 9.27835i | −0.540954 | + | 0.703390i | ||||
\(175\) | 2.00662 | − | 21.2537i | 0.151686 | − | 1.60663i | ||||
\(176\) | 0.932825 | + | 2.56291i | 0.0703143 | + | 0.193187i | ||||
\(177\) | −12.5488 | + | 11.4737i | −0.943229 | + | 0.862413i | ||||
\(178\) | 8.22125 | − | 4.74654i | 0.616209 | − | 0.355768i | ||||
\(179\) | 5.85709 | − | 10.1448i | 0.437779 | − | 0.758256i | −0.559739 | − | 0.828669i | \(-0.689099\pi\) |
0.997518 | + | 0.0704134i | \(0.0224318\pi\) | |||||||
\(180\) | 2.53223 | + | 6.21191i | 0.188741 | + | 0.463008i | ||||
\(181\) | −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 | ||||
\(183\) | −1.44142 | − | 2.26805i | −0.106553 | − | 0.167659i | ||||
\(184\) | 0.345403 | + | 0.411635i | 0.0254634 | + | 0.0303461i | ||||
\(185\) | −14.5169 | + | 7.49376i | −1.06730 | + | 0.550952i | ||||
\(186\) | 11.9254 | + | 3.77443i | 0.874415 | + | 0.276755i | ||||
\(187\) | −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 | ||||
\(190\) | −4.40875 | − | 8.69269i | −0.319844 | − | 0.630634i | ||||
\(191\) | − | 12.5135i | − | 0.905446i | −0.891651 | − | 0.452723i | \(-0.850453\pi\) | ||
0.891651 | − | 0.452723i | \(-0.149547\pi\) | |||||||
\(192\) | 0.227957 | − | 1.71698i | 0.0164514 | − | 0.123913i | ||||
\(193\) | −9.95556 | − | 8.35371i | −0.716617 | − | 0.601313i | 0.209830 | − | 0.977738i | \(-0.432709\pi\) |
−0.926447 | + | 0.376425i | \(0.877153\pi\) | |||||||
\(194\) | −0.608069 | + | 1.67066i | −0.0436568 | + | 0.119946i | ||||
\(195\) | −12.0651 | + | 6.89311i | −0.863997 | + | 0.493626i | ||||
\(196\) | 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 | \(0.821033\pi\) | |||||||
\(198\) | 3.47417 | − | 7.40799i | 0.246898 | − | 0.526463i | ||||
\(199\) | −0.142298 | − | 0.807010i | −0.0100872 | − | 0.0572074i | 0.979349 | − | 0.202179i | \(-0.0648022\pi\) |
−0.989436 | + | 0.144971i | \(0.953691\pi\) | |||||||
\(200\) | −4.54594 | + | 2.08192i | −0.321447 | + | 0.147214i | ||||
\(201\) | −4.50761 | + | 8.63595i | −0.317942 | + | 0.609133i | ||||
\(202\) | 8.03784 | + | 13.9219i | 0.565540 | + | 0.979544i | ||||
\(203\) | 18.5467 | + | 22.1031i | 1.30172 | + | 1.55134i | ||||
\(204\) | 11.7594 | − | 4.85583i | 0.823322 | − | 0.339976i | ||||
\(205\) | −13.8060 | − | 3.11049i | −0.964252 | − | 0.217246i | ||||
\(206\) | 5.89483 | − | 7.02518i | 0.410712 | − | 0.489468i | ||||
\(207\) | 0.144015 | − | 1.60561i | 0.0100097 | − | 0.111597i | ||||
\(208\) | 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 | ||||
\(213\) | −4.90295 | − | 1.55179i | −0.335944 | − | 0.106327i | ||||
\(214\) | −4.88485 | + | 1.77794i | −0.333921 | + | 0.121537i | ||||
\(215\) | 0.827478 | + | 0.763487i | 0.0564335 | + | 0.0520694i | ||||
\(216\) | −4.13275 | + | 3.14966i | −0.281198 | + | 0.214307i | ||||
\(217\) | 15.4172 | − | 26.7034i | 1.04659 | − | 1.81274i | ||||
\(218\) | −0.250728 | − | 1.42195i | −0.0169814 | − | 0.0963064i | ||||
\(219\) | 21.3982 | − | 4.71931i | 1.44596 | − | 0.318901i | ||||
\(220\) | 5.62637 | + | 2.35318i | 0.379329 | + | 0.158652i | ||||
\(221\) | 13.1767 | + | 22.8227i | 0.886359 | + | 1.53522i | ||||
\(222\) | −8.53906 | − | 9.33925i | −0.573104 | − | 0.626810i | ||||
\(223\) | −19.3448 | + | 7.04095i | −1.29543 | + | 0.471497i | −0.895505 | − | 0.445052i | \(-0.853185\pi\) |
−0.399922 | + | 0.916549i | \(0.630963\pi\) | |||||||
\(224\) | −4.01215 | − | 1.46030i | −0.268073 | − | 0.0975705i | ||||
\(225\) | 14.0484 | + | 5.25774i | 0.936557 | + | 0.350516i | ||||
\(226\) | 1.44326 | − | 8.18512i | 0.0960041 | − | 0.544466i | ||||
\(227\) | 8.61703i | 0.571932i | 0.958240 | + | 0.285966i | \(0.0923145\pi\) | ||||
−0.958240 | + | 0.285966i | \(0.907686\pi\) | |||||||
\(228\) | 5.60822 | − | 5.05449i | 0.371414 | − | 0.334742i | ||||
\(229\) | 21.4830 | 1.41964 | 0.709818 | − | 0.704385i | \(-0.248777\pi\) | ||||
0.709818 | + | 0.704385i | \(0.248777\pi\) | |||||||
\(230\) | 1.20022 | + | 0.0565325i | 0.0791403 | + | 0.00372764i | ||||
\(231\) | −15.9883 | − | 12.2961i | −1.05195 | − | 0.809021i | ||||
\(232\) | 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 | \(0.124961\pi\) | |||||||
\(234\) | −7.59411 | − | 7.62743i | −0.496443 | − | 0.498621i | ||||
\(235\) | −3.11377 | − | 4.08692i | −0.203120 | − | 0.266601i | ||||
\(236\) | 4.90848 | − | 8.50174i | 0.319515 | − | 0.553416i | ||||
\(237\) | 23.7145 | − | 5.23016i | 1.54042 | − | 0.339735i | ||||
\(238\) | −5.44595 | − | 30.8855i | −0.353009 | − | 2.00201i | ||||
\(239\) | −0.228203 | − | 0.131753i | −0.0147612 | − | 0.00852239i | 0.492601 | − | 0.870255i | \(-0.336046\pi\) |
−0.507362 | + | 0.861733i | \(0.669379\pi\) | |||||||
\(240\) | −2.47605 | − | 2.97812i | −0.159828 | − | 0.192237i | ||||
\(241\) | 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 | ||||
\(243\) | 15.4437 | + | 2.11925i | 0.990716 | + | 0.135950i | ||||
\(244\) | 1.18854 | + | 0.997306i | 0.0760887 | + | 0.0638460i | ||||
\(245\) | 1.18144 | − | 25.0828i | 0.0754795 | − | 1.60248i | ||||
\(246\) | −0.466174 | − | 10.9522i | −0.0297222 | − | 0.698288i | ||||
\(247\) | 11.9077 | + | 10.1378i | 0.757667 | + | 0.645056i | ||||
\(248\) | −7.22178 | −0.458584 | ||||||||
\(249\) | −3.31413 | + | 24.9622i | −0.210025 | + | 1.58191i | ||||
\(250\) | −3.47165 | + | 10.6277i | −0.219566 | + | 0.672154i | ||||
\(251\) | 1.00645 | − | 2.76519i | 0.0635263 | − | 0.174537i | −0.903868 | − | 0.427811i | \(-0.859285\pi\) |
0.967395 | + | 0.253274i | \(0.0815073\pi\) | |||||||
\(252\) | 5.38786 | + | 11.6206i | 0.339403 | + | 0.732032i | ||||
\(253\) | −0.942050 | − | 1.12269i | −0.0592262 | − | 0.0705830i | ||||
\(254\) | 4.40836 | − | 2.54517i | 0.276605 | − | 0.159698i | ||||
\(255\) | 9.85088 | − | 26.6884i | 0.616886 | − | 1.67129i | ||||
\(256\) | 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 | \(0.412209\pi\) | |||||||
\(258\) | −0.403543 | + | 0.773131i | −0.0251235 | + | 0.0481331i | ||||
\(259\) | −27.0151 | + | 15.5972i | −1.67864 | + | 0.969163i | ||||
\(260\) | 5.44019 | − | 5.89615i | 0.337386 | − | 0.365664i | ||||
\(261\) | −18.3928 | + | 8.52773i | −1.13849 | + | 0.527853i | ||||
\(262\) | −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 | \(0.964393\pi\) | |||||||
\(264\) | −0.621730 | + | 4.68290i | −0.0382648 | + | 0.288212i | ||||
\(265\) | −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 | 0.516503 | − | 0.856285i | \(-0.327233\pi\) |
−0.753586 | + | 0.657349i | \(0.771678\pi\) | |||||||
\(270\) | −1.09038 | + | 11.5677i | −0.0663587 | + | 0.703986i | ||||
\(271\) | 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 | ||||
\(273\) | −22.3927 | + | 14.2313i | −1.35527 | + | 0.861318i | ||||
\(274\) | 17.1571 | + | 9.90567i | 1.03650 | + | 0.598424i | ||||
\(275\) | 12.3986 | − | 5.67823i | 0.747663 | − | 0.342410i | ||||
\(276\) | 0.200450 | + | 0.908877i | 0.0120657 | + | 0.0547080i | ||||
\(277\) | 4.63324 | + | 2.67500i | 0.278384 | + | 0.160725i | 0.632692 | − | 0.774404i | \(-0.281950\pi\) |
−0.354307 | + | 0.935129i | \(0.615283\pi\) | |||||||
\(278\) | −5.33125 | + | 3.07800i | −0.319747 | + | 0.184606i | ||||
\(279\) | 15.2861 | + | 15.3532i | 0.915157 | + | 0.919173i | ||||
\(280\) | −8.48356 | + | 4.37930i | −0.506990 | + | 0.261713i | ||||
\(281\) | −2.16337 | − | 0.787401i | −0.129056 | − | 0.0469724i | 0.276685 | − | 0.960961i | \(-0.410764\pi\) |
−0.405741 | + | 0.913988i | \(0.632986\pi\) | |||||||
\(282\) | 2.42622 | − | 3.15476i | 0.144479 | − | 0.187863i | ||||
\(283\) | 5.99559 | + | 1.05718i | 0.356401 | + | 0.0628431i | 0.348982 | − | 0.937129i | \(-0.386527\pi\) |
0.00741870 | + | 0.999972i | \(0.497639\pi\) | |||||||
\(284\) | 2.96912 | 0.176185 | ||||||||
\(285\) | 0.197276 | − | 16.8808i | 0.0116856 | − | 0.999932i | ||||
\(286\) | −9.78525 | −0.578614 | ||||||||
\(287\) | −26.6120 | − | 4.69241i | −1.57085 | − | 0.276984i | ||||
\(288\) | 1.72610 | − | 2.45368i | 0.101712 | − | 0.144585i | ||||
\(289\) | −34.7255 | − | 12.6391i | −2.04268 | − | 0.743474i | ||||
\(290\) | −6.93143 | − | 13.4275i | −0.407027 | − | 0.788491i | ||||
\(291\) | −2.27263 | + | 2.07791i | −0.133224 | + | 0.121809i | ||||
\(292\) | −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 | \(0.519846\pi\) | |||||||
\(294\) | 18.9941 | − | 4.18909i | 1.10776 | − | 0.244313i | ||||
\(295\) | −6.52899 | − | 20.9580i | −0.380132 | − | 1.22022i | ||||
\(296\) | 6.32727 | + | 3.65305i | 0.367765 | + | 0.212329i | ||||
\(297\) | 11.2716 | − | 8.59038i | 0.654047 | − | 0.498465i | ||||
\(298\) | 13.5550 | − | 11.3740i | 0.785219 | − | 0.658877i | ||||
\(299\) | −1.81162 | + | 0.659376i | −0.104769 | + | 0.0381327i | ||||
\(300\) | −8.64873 | − | 0.446628i | −0.499335 | − | 0.0257861i | ||||
\(301\) | 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 | ||||
\(306\) | 21.9479 | + | 1.96862i | 1.25468 | + | 0.112538i | ||||
\(307\) | −12.4600 | − | 10.4552i | −0.711132 | − | 0.596710i | 0.213785 | − | 0.976881i | \(-0.431421\pi\) |
−0.924916 | + | 0.380170i | \(0.875865\pi\) | |||||||
\(308\) | 10.9427 | + | 3.98282i | 0.623519 | + | 0.226942i | ||||
\(309\) | 14.6817 | − | 6.06254i | 0.835212 | − | 0.344886i | ||||
\(310\) | −10.9505 | + | 11.8683i | −0.621947 | + | 0.674075i | ||||
\(311\) | 0.387192 | − | 0.223545i | 0.0219556 | − | 0.0126761i | −0.488982 | − | 0.872294i | \(-0.662632\pi\) |
0.510938 | + | 0.859618i | \(0.329298\pi\) | |||||||
\(312\) | 5.50891 | + | 2.87542i | 0.311880 | + | 0.162789i | ||||
\(313\) | 29.3394 | − | 5.17332i | 1.65836 | − | 0.292414i | 0.735493 | − | 0.677533i | \(-0.236951\pi\) |
0.922867 | + | 0.385119i | \(0.125840\pi\) | |||||||
\(314\) | 1.15155 | + | 6.53079i | 0.0649860 | + | 0.368554i | ||||
\(315\) | 27.2671 | + | 8.76615i | 1.53633 | + | 0.493916i | ||||
\(316\) | −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 | \(0.777369\pi\) | |||||||
\(318\) | 0.495834 | − | 0.204746i | 0.0278050 | − | 0.0114816i | ||||
\(319\) | −6.30389 | + | 17.3198i | −0.352950 | + | 0.969722i | ||||
\(320\) | 1.88174 | + | 1.20791i | 0.105193 | + | 0.0675240i | ||||
\(321\) | −8.92548 | − | 1.18500i | −0.498172 | − | 0.0661403i | ||||
\(322\) | 2.29429 | 0.127856 | ||||||||
\(323\) | −32.0168 | − | 0.229172i | −1.78146 | − | 0.0127515i | ||||
\(324\) | −8.87003 | + | 1.52401i | −0.492779 | + | 0.0846675i | ||||
\(325\) | −1.44071 | − | 17.8809i | −0.0799164 | − | 0.991852i | ||||
\(326\) | −2.60914 | − | 2.18933i | −0.144507 | − | 0.121256i | ||||
\(327\) | 0.754639 | − | 2.38431i | 0.0417316 | − | 0.131852i | ||||
\(328\) | 2.16464 | + | 5.94731i | 0.119522 | + | 0.328385i | ||||
\(329\) | −6.30613 | − | 7.51535i | −0.347668 | − | 0.414335i | ||||
\(330\) | 6.75316 | + | 8.12251i | 0.371749 | + | 0.447130i | ||||
\(331\) | 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 | ||||
\(333\) | −5.62651 | − | 21.1838i | −0.308331 | − | 1.16087i | ||||
\(334\) | 6.17514 | − | 10.6957i | 0.337889 | − | 0.585241i | ||||
\(335\) | −7.62167 | − | 10.0037i | −0.416416 | − | 0.546560i | ||||
\(336\) | −4.99017 | − | 5.45780i | −0.272236 | − | 0.297747i | ||||
\(337\) | −7.48349 | + | 2.72377i | −0.407652 | + | 0.148373i | −0.537703 | − | 0.843134i | \(-0.680708\pi\) |
0.130052 | + | 0.991507i | \(0.458486\pi\) | |||||||
\(338\) | 0.0437670 | − | 0.120249i | 0.00238061 | − | 0.00654067i | ||||
\(339\) | 8.77607 | − | 11.4113i | 0.476651 | − | 0.619778i | ||||
\(340\) | −0.772774 | + | 16.4065i | −0.0419095 | + | 0.889768i | ||||
\(341\) | 19.6967 | 1.06663 | ||||||||
\(342\) | 12.6622 | − | 3.26629i | 0.684693 | − | 0.176621i | ||||
\(343\) | − | 18.0598i | − | 0.975135i | ||||||
\(344\) | 0.0874343 | − | 0.495865i | 0.00471414 | − | 0.0267352i | ||||
\(345\) | 1.79760 | + | 1.04873i | 0.0967795 | + | 0.0564615i | ||||
\(346\) | −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 | \(0.511880\pi\) | |||||||
\(348\) | 8.63844 | − | 7.89829i | 0.463069 | − | 0.423393i | ||||
\(349\) | 4.42547 | + | 7.66513i | 0.236890 | + | 0.410305i | 0.959820 | − | 0.280616i | \(-0.0905387\pi\) |
−0.722930 | + | 0.690921i | \(0.757205\pi\) | |||||||
\(350\) | −5.66680 | + | 20.5823i | −0.302903 | + | 1.10017i | ||||
\(351\) | −5.54751 | − | 17.7980i | −0.296104 | − | 0.949989i | ||||
\(352\) | −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 | \(0.199871\pi\) | |||||||
\(354\) | 14.3506 | − | 9.12026i | 0.762724 | − | 0.484736i | ||||
\(355\) | 4.50212 | − | 4.87946i | 0.238948 | − | 0.258975i | ||||
\(356\) | −8.92058 | + | 3.24683i | −0.472790 | + | 0.172081i | ||||
\(357\) | 16.3912 | − | 51.7885i | 0.867514 | − | 2.74094i | ||||
\(358\) | −7.52972 | + | 8.97358i | −0.397958 | + | 0.474268i | ||||
\(359\) | −16.5472 | − | 2.91771i | −0.873326 | − | 0.153991i | −0.281018 | − | 0.959702i | \(-0.590672\pi\) |
−0.592308 | + | 0.805711i | \(0.701783\pi\) | |||||||
\(360\) | −1.41507 | − | 6.55725i | −0.0745810 | − | 0.345598i | ||||
\(361\) | −17.9454 | + | 6.24213i | −0.944492 | + | 0.328533i | ||||
\(362\) | 9.59675 | 0.504394 | ||||||||
\(363\) | −0.811827 | + | 6.11471i | −0.0426098 | + | 0.320939i | ||||
\(364\) | 9.84651 | − | 11.7346i | 0.516097 | − | 0.615061i | ||||
\(365\) | −6.21762 | + | 27.5971i | −0.325445 | + | 1.44450i | ||||
\(366\) | 1.02568 | + | 2.48390i | 0.0536131 | + | 0.129835i | ||||
\(367\) | 18.1232 | + | 21.5984i | 0.946022 | + | 1.12743i | 0.991713 | + | 0.128470i | \(0.0410066\pi\) |
−0.0456910 | + | 0.998956i | \(0.514549\pi\) | |||||||
\(368\) | −0.268675 | − | 0.465360i | −0.0140057 | − | 0.0242585i | ||||
\(369\) | 8.06189 | − | 17.1904i | 0.419685 | − | 0.894898i | ||||
\(370\) | 15.5976 | − | 4.85908i | 0.810880 | − | 0.252612i | ||||
\(371\) | −0.229628 | − | 1.30228i | −0.0119217 | − | 0.0676113i | ||||
\(372\) | −11.0888 | − | 5.78792i | −0.574930 | − | 0.300090i | ||||
\(373\) | 15.0975 | + | 26.1497i | 0.781720 | + | 1.35398i | 0.930939 | + | 0.365174i | \(0.118991\pi\) |
−0.149220 | + | 0.988804i | \(0.547676\pi\) | |||||||
\(374\) | 15.3467 | − | 12.8774i | 0.793558 | − | 0.665874i | ||||
\(375\) | −13.8482 | + | 13.5361i | −0.715118 | + | 0.699003i | ||||
\(376\) | −0.785879 | + | 2.15918i | −0.0405286 | + | 0.111351i | ||||
\(377\) | 18.5732 | + | 15.5847i | 0.956567 | + | 0.802655i | ||||
\(378\) | −1.04050 | + | 22.1613i | −0.0535175 | + | 1.13985i | ||||
\(379\) | 12.1395i | 0.623565i | 0.950154 | + | 0.311782i | \(0.100926\pi\) | ||||
−0.950154 | + | 0.311782i | \(0.899074\pi\) | |||||||
\(380\) | 2.83230 | + | 9.32620i | 0.145294 | + | 0.478424i | ||||
\(381\) | 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 | \(0.262268\pi\) | |||||||
\(384\) | −0.522645 | + | 1.65132i | −0.0266711 | + | 0.0842683i | ||||
\(385\) | 23.1380 | − | 11.9441i | 1.17922 | − | 0.608728i | ||||
\(386\) | 8.35371 | + | 9.95556i | 0.425193 | + | 0.506725i | ||||
\(387\) | −1.23926 | + | 0.863701i | −0.0629950 | + | 0.0439044i | ||||
\(388\) | 0.888938 | − | 1.53969i | 0.0451290 | − | 0.0781657i | ||||
\(389\) | 7.52897 | − | 1.32756i | 0.381734 | − | 0.0673100i | 0.0205114 | − | 0.999790i | \(-0.493471\pi\) |
0.361223 | + | 0.932480i | \(0.382359\pi\) | |||||||
\(390\) | 13.0787 | − | 4.69331i | 0.662268 | − | 0.237655i | ||||
\(391\) | 1.97352 | − | 3.41823i | 0.0998049 | − | 0.172867i | ||||
\(392\) | −9.72530 | + | 5.61490i | −0.491202 | + | 0.283596i | ||||
\(393\) | −9.56959 | − | 10.4664i | −0.482722 | − | 0.527958i | ||||
\(394\) | −0.370901 | − | 1.01904i | −0.0186857 | − | 0.0513387i | ||||
\(395\) | −6.89066 | + | 30.5844i | −0.346707 | + | 1.53887i | ||||
\(396\) | −4.70777 | + | 6.69217i | −0.236574 | + | 0.336294i | ||||
\(397\) | 4.13373 | + | 0.728888i | 0.207466 | + | 0.0365818i | 0.276415 | − | 0.961038i | \(-0.410854\pi\) |
−0.0689492 | + | 0.997620i | \(0.521965\pi\) | |||||||
\(398\) | 0.819459i | 0.0410758i | ||||||||
\(399\) | −1.14027 | − | 32.2149i | −0.0570849 | − | 1.61276i | ||||
\(400\) | 4.83840 | − | 1.26090i | 0.241920 | − | 0.0630449i | ||||
\(401\) | −4.53072 | + | 25.6950i | −0.226253 | + | 1.28315i | 0.634022 | + | 0.773315i | \(0.281403\pi\) |
−0.860275 | + | 0.509830i | \(0.829708\pi\) | |||||||
\(402\) | 5.93875 | − | 7.72201i | 0.296198 | − | 0.385139i | ||||
\(403\) | 8.86175 | − | 24.3475i | 0.441435 | − | 1.21283i | ||||
\(404\) | −5.49820 | − | 15.1062i | −0.273546 | − | 0.751561i | ||||
\(405\) | −10.9452 | + | 16.8879i | −0.543871 | + | 0.839169i | ||||
\(406\) | −14.4268 | − | 24.9879i | −0.715990 | − | 1.24013i | ||||
\(407\) | −17.2570 | − | 9.96332i | −0.855396 | − | 0.493863i | ||||
\(408\) | −12.4239 | + | 2.74006i | −0.615077 | + | 0.135653i | ||||
\(409\) | −32.2370 | + | 5.68425i | −1.59402 | + | 0.281068i | −0.899008 | − | 0.437932i | \(-0.855711\pi\) |
−0.695009 | + | 0.719001i | \(0.744600\pi\) | |||||||
\(410\) | 13.0561 | + | 5.46062i | 0.644796 | + | 0.269681i | ||||
\(411\) | 18.4053 | + | 28.9605i | 0.907869 | + | 1.42852i | ||||
\(412\) | −7.02518 | + | 5.89483i | −0.346106 | + | 0.290417i | ||||
\(413\) | −14.3357 | − | 39.3871i | −0.705415 | − | 1.93811i | ||||
\(414\) | −0.420638 | + | 1.55621i | −0.0206732 | + | 0.0764834i | ||||
\(415\) | −27.3575 | − | 17.5610i | −1.34293 | − | 0.862036i | ||||
\(416\) | −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 | \(-0.810702\pi\) | ||
0.828319 | − | 0.560257i | \(-0.189298\pi\) | |||||||
\(420\) | −16.5361 | − | 0.0748782i | −0.806877 | − | 0.00365368i | ||||
\(421\) | 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 | ||||
\(423\) | 6.25379 | − | 2.89954i | 0.304069 | − | 0.140980i | ||||
\(424\) | −0.237256 | + | 0.199082i | −0.0115222 | + | 0.00966825i | ||||
\(425\) | 25.7908 | + | 26.1475i | 1.25104 | + | 1.26834i | ||||
\(426\) | 4.55899 | + | 2.37961i | 0.220884 | + | 0.115292i | ||||
\(427\) | 6.52384 | − | 1.15033i | 0.315711 | − | 0.0556683i | ||||
\(428\) | 5.11937 | − | 0.902683i | 0.247454 | − | 0.0436328i | ||||
\(429\) | −15.0250 | − | 7.84242i | −0.725412 | − | 0.378636i | ||||
\(430\) | −0.682328 | − | 0.895578i | −0.0329048 | − | 0.0431886i | ||||
\(431\) | −26.1160 | + | 21.9140i | −1.25797 | + | 1.05556i | −0.262069 | + | 0.965049i | \(0.584405\pi\) |
−0.995896 | + | 0.0905089i | \(0.971151\pi\) | |||||||
\(432\) | 4.61690 | − | 2.38417i | 0.222131 | − | 0.114708i | ||||
\(433\) | −3.74354 | − | 1.36254i | −0.179903 | − | 0.0654793i | 0.250498 | − | 0.968117i | \(-0.419406\pi\) |
−0.430401 | + | 0.902638i | \(0.641628\pi\) | |||||||
\(434\) | −19.8200 | + | 23.6205i | −0.951389 | + | 1.13382i | ||||
\(435\) | 0.118515 | − | 26.1728i | 0.00568235 | − | 1.25489i | ||||
\(436\) | 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 | \(0.435523\pi\) | |||||||
\(440\) | −5.13226 | − | 3.29444i | −0.244671 | − | 0.157056i | ||||
\(441\) | 32.5223 | + | 8.79068i | 1.54868 | + | 0.418604i | ||||
\(442\) | −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 | \(0.0207248\pi\) | |||||||
\(444\) | 6.78759 | + | 10.6802i | 0.322125 | + | 0.506858i | ||||
\(445\) | −8.19058 | + | 19.5834i | −0.388271 | + | 0.928340i | ||||
\(446\) | 20.2736 | − | 3.57478i | 0.959983 | − | 0.169271i | ||||
\(447\) | 29.9290 | − | 6.60074i | 1.41559 | − | 0.312204i | ||||
\(448\) | 3.69762 | + | 2.13482i | 0.174696 | + | 0.100861i | ||||
\(449\) | −12.7888 | − | 22.1509i | −0.603543 | − | 1.04537i | −0.992280 | − | 0.124018i | \(-0.960422\pi\) |
0.388737 | − | 0.921349i | \(-0.372912\pi\) | |||||||
\(450\) | −12.9219 | − | 7.61734i | −0.609145 | − | 0.359085i | ||||
\(451\) | −5.90384 | − | 16.2207i | −0.278001 | − | 0.763801i | ||||
\(452\) | −2.84266 | + | 7.81015i | −0.133708 | + | 0.367359i | ||||
\(453\) | −10.5429 | + | 13.7087i | −0.495350 | + | 0.644092i | ||||
\(454\) | 1.49633 | − | 8.48612i | 0.0702263 | − | 0.398273i | ||||
\(455\) | −4.35429 | − | 33.9752i | −0.204132 | − | 1.59278i | ||||
\(456\) | −6.40072 | + | 4.00384i | −0.299741 | + | 0.187497i | ||||
\(457\) | 5.02510i | 0.235064i | 0.993069 | + | 0.117532i | \(0.0374983\pi\) | ||||
−0.993069 | + | 0.117532i | \(0.962502\pi\) | |||||||
\(458\) | −21.1566 | − | 3.73048i | −0.988584 | − | 0.174314i | ||||
\(459\) | 32.1227 | + | 20.6130i | 1.49936 | + | 0.962132i | ||||
\(460\) | −1.17217 | − | 0.264090i | −0.0546528 | − | 0.0123133i | ||||
\(461\) | 4.00928 | + | 11.0154i | 0.186731 | + | 0.513038i | 0.997368 | − | 0.0725107i | \(-0.0231011\pi\) |
−0.810637 | + | 0.585549i | \(0.800879\pi\) | |||||||
\(462\) | 13.6102 | + | 14.8856i | 0.633203 | + | 0.692540i | ||||
\(463\) | −28.1581 | + | 16.2571i | −1.30862 | + | 0.755532i | −0.981866 | − | 0.189577i | \(-0.939288\pi\) |
−0.326754 | + | 0.945109i | \(0.605955\pi\) | |||||||
\(464\) | −3.37893 | + | 5.85247i | −0.156863 | + | 0.271694i | ||||
\(465\) | −26.3261 | + | 9.44714i | −1.22084 | + | 0.438100i | ||||
\(466\) | −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 | \(0.896782\pi\) | |||||||
\(468\) | 6.15425 | + | 8.83026i | 0.284480 | + | 0.408179i | ||||
\(469\) | −15.4357 | − | 18.3956i | −0.712755 | − | 0.849429i | ||||
\(470\) | 2.35677 | + | 4.56553i | 0.108710 | + | 0.210592i | ||||
\(471\) | −3.46594 | + | 10.9508i | −0.159702 | + | 0.504584i | ||||
\(472\) | −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 | ||||
\(475\) | 19.6214 | + | 9.48687i | 0.900292 | + | 0.435287i | ||||
\(476\) | 31.3620i | 1.43747i | ||||||||
\(477\) | 0.925433 | + | 0.0830066i | 0.0423726 | + | 0.00380061i | ||||
\(478\) | 0.201857 | + | 0.169378i | 0.00923273 | + | 0.00774718i | ||||
\(479\) | 1.26648 | − | 3.47963i | 0.0578670 | − | 0.158988i | −0.907391 | − | 0.420288i | \(-0.861929\pi\) |
0.965258 | + | 0.261300i | \(0.0841512\pi\) | |||||||
\(480\) | 1.92128 | + | 3.36284i | 0.0876942 | + | 0.153492i | ||||
\(481\) | −20.0800 | + | 16.8491i | −0.915568 | + | 0.768253i | ||||
\(482\) | −7.55047 | − | 13.0778i | −0.343914 | − | 0.595677i | ||||
\(483\) | 3.52282 | + | 1.83877i | 0.160294 | + | 0.0836669i | ||||
\(484\) | −0.618415 | − | 3.50720i | −0.0281098 | − | 0.159418i | ||||
\(485\) | −1.18242 | − | 3.79554i | −0.0536907 | − | 0.172346i | ||||
\(486\) | −14.8411 | − | 4.76883i | −0.673206 | − | 0.216319i | ||||
\(487\) | 13.6010 | + | 23.5575i | 0.616318 | + | 1.06749i | 0.990152 | + | 0.139999i | \(0.0447098\pi\) |
−0.373834 | + | 0.927496i | \(0.621957\pi\) | |||||||
\(488\) | −0.997306 | − | 1.18854i | −0.0451459 | − | 0.0538028i | ||||
\(489\) | −2.25162 | − | 5.45276i | −0.101822 | − | 0.246582i | ||||
\(490\) | −5.51908 | + | 24.4966i | −0.249326 | + | 1.10664i | ||||
\(491\) | 25.0114 | − | 29.8074i | 1.12875 | − | 1.34519i | 0.197715 | − | 0.980260i | \(-0.436648\pi\) |
0.931034 | − | 0.364932i | \(-0.118908\pi\) | |||||||
\(492\) | −1.44274 | + | 10.8668i | −0.0650437 | + | 0.489912i | ||||
\(493\) | −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 | ||||
\(498\) | 7.59842 | − | 24.0074i | 0.340493 | − | 1.07580i | ||||
\(499\) | −8.06784 | + | 2.93645i | −0.361166 | + | 0.131454i | −0.516228 | − | 0.856451i | \(-0.672664\pi\) |
0.155062 | + | 0.987905i | \(0.450442\pi\) | |||||||
\(500\) | 5.26439 | − | 9.86338i | 0.235430 | − | 0.441104i | ||||
\(501\) | 18.0538 | − | 11.4738i | 0.806586 | − | 0.512612i | ||||
\(502\) | −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 | \(-0.251639\pi\) | |||||||
\(504\) | −3.28810 | − | 12.3797i | −0.146464 | − | 0.551435i | ||||
\(505\) | −33.1626 | − | 13.8700i | −1.47572 | − | 0.617207i | ||||
\(506\) | 0.732785 | + | 1.26922i | 0.0325762 | + | 0.0564237i | ||||
\(507\) | 0.163577 | − | 0.149561i | 0.00726469 | − | 0.00664225i | ||||
\(508\) | −4.78335 | + | 1.74100i | −0.212227 | + | 0.0772443i | ||||
\(509\) | 25.7098 | + | 9.35762i | 1.13957 | + | 0.414769i | 0.841758 | − | 0.539856i | \(-0.181521\pi\) |
0.297811 | + | 0.954625i | \(0.403743\pi\) | |||||||
\(510\) | −14.3356 | + | 24.5724i | −0.634792 | + | 1.08808i | ||||
\(511\) | −9.37976 | + | 53.1953i | −0.414936 | + | 2.35322i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 22.0602 | + | 5.13286i | 0.973983 | + | 0.226621i | ||||
\(514\) | −3.24148 | −0.142975 | ||||||||
\(515\) | −0.964814 | + | 20.4836i | −0.0425148 | + | 0.902617i | ||||
\(516\) | 0.531665 | − | 0.691311i | 0.0234052 | − | 0.0304333i | ||||
\(517\) | 2.14340 | − | 5.88895i | 0.0942668 | − | 0.258996i | ||||
\(518\) | 29.3131 | − | 10.6691i | 1.28795 | − | 0.468774i | ||||
\(519\) | −19.0951 | − | 20.8845i | −0.838182 | − | 0.916728i | ||||
\(520\) | −6.38139 | + | 4.86189i | −0.279843 | + | 0.213208i | ||||
\(521\) | 4.99671 | − | 8.65456i | 0.218910 | − | 0.379163i | −0.735565 | − | 0.677454i | \(-0.763083\pi\) |
0.954475 | + | 0.298291i | \(0.0964166\pi\) | |||||||
\(522\) | 19.5942 | − | 5.20430i | 0.857614 | − | 0.227786i | ||||
\(523\) | −0.645169 | − | 3.65894i | −0.0282113 | − | 0.159994i | 0.967448 | − | 0.253071i | \(-0.0814408\pi\) |
−0.995659 | + | 0.0930772i | \(0.970330\pi\) | |||||||
\(524\) | 7.09087 | + | 4.09392i | 0.309766 | + | 0.178844i | ||||
\(525\) | −25.1970 | + | 27.0619i | −1.09969 | + | 1.18108i | ||||
\(526\) | 14.3751 | + | 17.1316i | 0.626784 | + | 0.746972i | ||||
\(527\) | 18.1430 | + | 49.8474i | 0.790320 | + | 2.17139i | ||||
\(528\) | 1.42546 | − | 4.50379i | 0.0620352 | − | 0.196002i | ||||
\(529\) | −17.3978 | − | 14.5985i | −0.756427 | − | 0.634718i | ||||
\(530\) | −0.0325839 | + | 0.691779i | −0.00141536 | + | 0.0300490i | ||||
\(531\) | 29.3444 | − | 2.50258i | 1.27344 | − | 0.108603i | ||||
\(532\) | 6.23997 | + | 17.5337i | 0.270537 | + | 0.760180i | ||||
\(533\) | −22.7069 | −0.983545 | ||||||||
\(534\) | −16.2995 | − | 2.16402i | −0.705347 | − | 0.0936462i | ||||
\(535\) | 6.27912 | − | 9.78196i | 0.271470 | − | 0.422911i | ||||
\(536\) | −1.92362 | + | 5.28511i | −0.0830879 | + | 0.228282i | ||||
\(537\) | −18.7536 | + | 7.74395i | −0.809277 | + | 0.334176i | ||||
\(538\) | 3.26280 | + | 3.88845i | 0.140669 | + | 0.167643i | ||||
\(539\) | 26.5248 | − | 15.3141i | 1.14250 | − | 0.659624i | ||||
\(540\) | 3.08252 | − | 11.2026i | 0.132651 | − | 0.482083i | ||||
\(541\) | −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 | ||||
\(543\) | 14.7355 | + | 7.69135i | 0.632362 | + | 0.330067i | ||||
\(544\) | 6.36126 | − | 3.67267i | 0.272737 | − | 0.157465i | ||||
\(545\) | 2.37289 | + | 2.18939i | 0.101643 | + | 0.0937830i | ||||
\(546\) | 24.5238 | − | 10.1266i | 1.04952 | − | 0.433380i | ||||
\(547\) | −26.5717 | − | 9.67132i | −1.13613 | − | 0.413516i | −0.295613 | − | 0.955308i | \(-0.595524\pi\) |
−0.840513 | + | 0.541792i | \(0.817746\pi\) | |||||||
\(548\) | −15.1764 | − | 12.7345i | −0.648302 | − | 0.543990i | ||||
\(549\) | −0.415824 | + | 4.63599i | −0.0177469 | + | 0.197859i | ||||
\(550\) | −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 | ||||
\(555\) | 27.8440 | + | 5.03975i | 1.18191 | + | 0.213926i | ||||
\(556\) | 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 | \(0.543100\pi\) | |||||||
\(558\) | −12.3879 | − | 17.7744i | −0.524420 | − | 0.752449i | ||||
\(559\) | 1.56446 | + | 0.903244i | 0.0661698 | + | 0.0382032i | ||||
\(560\) | 9.11513 | − | 2.83962i | 0.385185 | − | 0.119996i | ||||
\(561\) | 33.8850 | − | 7.47323i | 1.43063 | − | 0.315520i | ||||
\(562\) | 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 | \(0.270670\pi\) | |||||||
\(564\) | −2.93718 | + | 2.68552i | −0.123678 | + | 0.113081i | ||||
\(565\) | 8.52487 | + | 16.5143i | 0.358644 | + | 0.694763i | ||||
\(566\) | −5.72092 | − | 2.08225i | −0.240468 | − | 0.0875233i | ||||
\(567\) | −19.3589 | + | 33.1941i | −0.812997 | + | 1.39402i | ||||
\(568\) | −2.92401 | − | 0.515582i | −0.122689 | − | 0.0216333i | ||||
\(569\) | 33.6444 | 1.41045 | 0.705223 | − | 0.708985i | \(-0.250847\pi\) | ||||
0.705223 | + | 0.708985i | \(0.250847\pi\) | |||||||
\(570\) | −3.12560 | + | 16.5901i | −0.130917 | + | 0.694882i | ||||
\(571\) | −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 | ||||
\(573\) | −13.2131 | + | 17.1807i | −0.551986 | + | 0.717735i | ||||
\(574\) | 25.3928 | + | 9.24224i | 1.05988 | + | 0.385764i | ||||
\(575\) | −2.21139 | + | 1.52591i | −0.0922214 | + | 0.0636348i | ||||
\(576\) | −2.12596 | + | 2.11667i | −0.0885816 | + | 0.0881947i | ||||
\(577\) | −5.38776 | + | 3.11063i | −0.224295 | + | 0.129497i | −0.607938 | − | 0.793985i | \(-0.708003\pi\) |
0.383642 | + | 0.923482i | \(0.374670\pi\) | |||||||
\(578\) | 32.0032 | + | 18.4771i | 1.33116 | + | 0.768545i | ||||
\(579\) | 4.84796 | + | 21.9816i | 0.201475 | + | 0.913523i | ||||
\(580\) | 4.49446 | + | 14.4271i | 0.186622 | + | 0.599055i | ||||
\(581\) | −53.7573 | − | 31.0368i | −2.23023 | − | 1.28762i | ||||
\(582\) | 2.59892 | − | 1.65170i | 0.107729 | − | 0.0684652i | ||||
\(583\) | 0.647092 | − | 0.542974i | 0.0267998 | − | 0.0224877i | ||||
\(584\) | 11.8882 | − | 4.32695i | 0.491937 | − | 0.179051i | ||||
\(585\) | 23.8435 | + | 3.27555i | 0.985807 | + | 0.135427i | ||||
\(586\) | −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 | ||||
\(591\) | 0.247207 | − | 1.86197i | 0.0101687 | − | 0.0765913i | ||||
\(592\) | −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 | \(0.553690\pi\) | |||||||
\(594\) | −12.5921 | + | 6.50258i | −0.516660 | + | 0.266804i | ||||
\(595\) | 51.5404 | + | 47.5547i | 2.11295 | + | 1.94955i | ||||
\(596\) | −15.3241 | + | 8.84738i | −0.627700 | + | 0.362403i | ||||
\(597\) | −0.656758 | + | 1.25826i | −0.0268793 | + | 0.0514970i | ||||
\(598\) | 1.89860 | − | 0.334774i | 0.0776395 | − | 0.0136899i | ||||
\(599\) | −7.07151 | − | 40.1045i | −0.288934 | − | 1.63863i | −0.690885 | − | 0.722965i | \(-0.742779\pi\) |
0.401951 | − | 0.915661i | \(-0.368332\pi\) | |||||||
\(600\) | 8.43978 | + | 1.94168i | 0.344553 | + | 0.0792687i | ||||
\(601\) | 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 | ||||
\(603\) | 15.3076 | − | 7.09730i | 0.623374 | − | 0.289024i | ||||
\(604\) | 3.41497 | − | 9.38255i | 0.138953 | − | 0.381771i | ||||
\(605\) | −6.70147 | − | 4.30173i | −0.272454 | − | 0.174890i | ||||
\(606\) | 3.66457 | − | 27.6017i | 0.148863 | − | 1.12124i | ||||
\(607\) | −8.53702 | −0.346507 | −0.173254 | − | 0.984877i | \(-0.555428\pi\) | ||||
−0.173254 | + | 0.984877i | \(0.555428\pi\) | |||||||
\(608\) | 2.82567 | − | 3.31897i | 0.114596 | − | 0.134602i | ||||
\(609\) | −2.12527 | − | 49.9307i | −0.0861202 | − | 2.02329i | ||||
\(610\) | −3.46549 | − | 0.163230i | −0.140314 | − | 0.00660900i | ||||
\(611\) | −6.31512 | − | 5.29901i | −0.255482 | − | 0.214375i | ||||
\(612\) | −21.2726 | − | 5.74993i | −0.859896 | − | 0.232427i | ||||
\(613\) | 2.76433 | + | 7.59492i | 0.111650 | + | 0.306756i | 0.982916 | − | 0.184055i | \(-0.0589226\pi\) |
−0.871266 | + | 0.490811i | \(0.836700\pi\) | |||||||
\(614\) | 10.4552 | + | 12.4600i | 0.421938 | + | 0.502846i | ||||
\(615\) | 15.6709 | + | 18.8485i | 0.631910 | + | 0.760044i | ||||
\(616\) | −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 | \(0.834040\pi\) | |||||||
\(618\) | −15.5114 | + | 3.42099i | −0.623960 | + | 0.137612i | ||||
\(619\) | 0.936797 | − | 1.62258i | 0.0376531 | − | 0.0652170i | −0.846585 | − | 0.532254i | \(-0.821345\pi\) |
0.884238 | + | 0.467037i | \(0.154678\pi\) | |||||||
\(620\) | 12.8451 | − | 9.78647i | 0.515870 | − | 0.393034i | ||||
\(621\) | −1.89310 | + | 2.05239i | −0.0759676 | + | 0.0823596i | ||||
\(622\) | −0.420127 | + | 0.152914i | −0.0168456 | + | 0.00613129i | ||||
\(623\) | −13.8628 | + | 38.0877i | −0.555400 | + | 1.52595i | ||||
\(624\) | −4.92590 | − | 3.78835i | −0.197194 | − | 0.151655i | ||||
\(625\) | −8.22705 | − | 23.6075i | −0.329082 | − | 0.944301i | ||||
\(626\) | −29.7920 | −1.19073 | ||||||||
\(627\) | 17.4573 | − | 10.9201i | 0.697178 | − | 0.436105i | ||||
\(628\) | − | 6.63154i | − | 0.264627i | ||||||
\(629\) | 9.31898 | − | 52.8505i | 0.371572 | − | 2.10729i | ||||
\(630\) | −25.3307 | − | 13.3679i | −1.00920 | − | 0.532588i | ||||
\(631\) | 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 | ||||
\(633\) | 7.14225 | + | 7.81154i | 0.283879 | + | 0.310481i | ||||
\(634\) | −0.0228764 | − | 0.0396230i | −0.000908536 | − | 0.00157363i | ||||
\(635\) | −4.39192 | + | 10.5009i | −0.174288 | + | 0.416715i | ||||
\(636\) | −0.523855 | + | 0.115534i | −0.0207722 | + | 0.00458124i | ||||
\(637\) | −6.99626 | − | 39.6778i | −0.277202 | − | 1.57209i | ||||
\(638\) | 9.21567 | − | 15.9620i | 0.364852 | − | 0.631942i | ||||
\(639\) | 5.09306 | + | 7.30764i | 0.201478 | + | 0.289086i | ||||
\(640\) | −1.64341 | − | 1.51632i | −0.0649613 | − | 0.0599377i | ||||
\(641\) | 18.9800 | − | 6.90815i | 0.749665 | − | 0.272856i | 0.0612000 | − | 0.998126i | \(-0.480507\pi\) |
0.688465 | + | 0.725270i | \(0.258285\pi\) | |||||||
\(642\) | 8.58411 | + | 2.71689i | 0.338788 | + | 0.107227i | ||||
\(643\) | −10.1753 | + | 12.1265i | −0.401276 | + | 0.478222i | −0.928409 | − | 0.371561i | \(-0.878823\pi\) |
0.527133 | + | 0.849783i | \(0.323267\pi\) | |||||||
\(644\) | −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 | \(0.347347\pi\) | |||||||
\(648\) | 8.99991 | + | 0.0394024i | 0.353550 | + | 0.00154787i | ||||
\(649\) | 17.2105 | − | 20.5106i | 0.675570 | − | 0.805113i | ||||
\(650\) | −1.68615 | + | 17.8594i | −0.0661364 | + | 0.700503i | ||||
\(651\) | −49.3637 | + | 20.3839i | −1.93472 | + | 0.798906i | ||||
\(652\) | 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 | \(0.845321\pi\) | |||||||
\(654\) | −1.15720 | + | 2.21704i | −0.0452503 | + | 0.0866932i | ||||
\(655\) | 17.4800 | − | 5.44550i | 0.682999 | − | 0.212773i | ||||
\(656\) | −1.09902 | − | 6.23284i | −0.0429094 | − | 0.243351i | ||||
\(657\) | −34.3623 | − | 16.1151i | −1.34060 | − | 0.628710i | ||||
\(658\) | 4.90529 | + | 8.49622i | 0.191228 | + | 0.331217i | ||||
\(659\) | −7.82000 | + | 6.56176i | −0.304624 | + | 0.255610i | −0.782266 | − | 0.622945i | \(-0.785936\pi\) |
0.477642 | + | 0.878555i | \(0.341492\pi\) | |||||||
\(660\) | −5.24010 | − | 9.17179i | −0.203971 | − | 0.357011i | ||||
\(661\) | 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 | ||||
\(663\) | 6.00744 | − | 45.2483i | 0.233310 | − | 1.75730i | ||||
\(664\) | 14.5384i | 0.564199i | ||||||||
\(665\) | 38.2767 | + | 16.3318i | 1.48431 | + | 0.633320i | ||||
\(666\) | 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 | ||||
\(669\) | 33.9946 | + | 10.7594i | 1.31431 | + | 0.415981i | ||||
\(670\) | 5.76876 | + | 11.1752i | 0.222867 | + | 0.431736i | ||||
\(671\) | 2.72005 | + | 3.24163i | 0.105006 | + | 0.125142i | ||||
\(672\) | 3.96663 | + | 6.24142i | 0.153016 | + | 0.240768i | ||||
\(673\) | 22.7356 | − | 39.3792i | 0.876393 | − | 1.51796i | 0.0211213 | − | 0.999777i | \(-0.493276\pi\) |
0.855272 | − | 0.518180i | \(-0.173390\pi\) | |||||||
\(674\) | 7.84278 | − | 1.38289i | 0.302093 | − | 0.0532671i | ||||
\(675\) | −13.7363 | − | 22.0525i | −0.528711 | − | 0.848802i | ||||
\(676\) | −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 | \(0.610971\pi\) | |||||||
\(678\) | −10.6243 | + | 9.71401i | −0.408024 | + | 0.373064i | ||||
\(679\) | −2.59624 | − | 7.13310i | −0.0996344 | − | 0.273743i | ||||
\(680\) | 3.60999 | − | 16.0231i | 0.138437 | − | 0.614457i | ||||
\(681\) | 9.09880 | − | 11.8310i | 0.348667 | − | 0.453363i | ||||
\(682\) | −19.3974 | − | 3.42029i | −0.742766 | − | 0.130970i | ||||
\(683\) | − | 11.7341i | − | 0.448994i | −0.974475 | − | 0.224497i | \(-0.927926\pi\) | ||
0.974475 | − | 0.224497i | \(-0.0720738\pi\) | |||||||
\(684\) | −13.0370 | + | 1.01790i | −0.498483 | + | 0.0389204i | ||||
\(685\) | −43.9401 | + | 5.63141i | −1.67887 | + | 0.215165i | ||||
\(686\) | −3.13604 | + | 17.7854i | −0.119735 | + | 0.679049i | ||||
\(687\) | −29.4956 | − | 22.6841i | −1.12533 | − | 0.865452i | ||||
\(688\) | −0.172212 | + | 0.473148i | −0.00656552 | + | 0.0180386i | ||||
\(689\) | −0.380048 | − | 1.04417i | −0.0144787 | − | 0.0397799i | ||||
\(690\) | −1.58818 | − | 1.34494i | −0.0604610 | − | 0.0512011i | ||||
\(691\) | 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 | ||||
\(693\) | 8.96795 | + | 33.7643i | 0.340664 | + | 1.28260i | ||||
\(694\) | 13.8264 | − | 2.43797i | 0.524843 | − | 0.0925441i | ||||
\(695\) | 5.31136 | − | 12.6993i | 0.201471 | − | 0.481710i | ||||
\(696\) | −9.87872 | + | 6.27825i | −0.374452 | + | 0.237977i | ||||
\(697\) | 35.6124 | − | 29.8823i | 1.34891 | − | 1.13187i | ||||
\(698\) | −3.02720 | − | 8.31715i | −0.114581 | − | 0.314809i | ||||
\(699\) | −37.1722 | − | 11.7651i | −1.40598 | − | 0.444996i | ||||
\(700\) | 9.15479 | − | 19.2856i | 0.346019 | − | 0.728928i | ||||
\(701\) | 12.1936 | + | 2.15007i | 0.460547 | + | 0.0812069i | 0.399108 | − | 0.916904i | \(-0.369320\pi\) |
0.0614393 | + | 0.998111i | \(0.480431\pi\) | |||||||
\(702\) | 2.37264 | + | 18.4910i | 0.0895495 | + | 0.697896i | ||||
\(703\) | −5.30547 | − | 31.4015i | −0.200100 | − | 1.18433i | ||||
\(704\) | 2.72740i | 0.102793i | ||||||||
\(705\) | −0.0402966 | + | 8.89908i | −0.00151766 | + | 0.335159i | ||||
\(706\) | 2.51503 | − | 2.99730i | 0.0946545 | − | 0.112805i | ||||
\(707\) | −64.4980 | − | 23.4753i | −2.42570 | − | 0.882881i | ||||
\(708\) | −15.7163 | + | 6.48975i | −0.590654 | + | 0.243900i | ||||
\(709\) | −6.19324 | + | 5.19675i | −0.232592 | + | 0.195168i | −0.751633 | − | 0.659581i | \(-0.770734\pi\) |
0.519041 | + | 0.854749i | \(0.326289\pi\) | |||||||
\(710\) | −5.28103 | + | 4.02355i | −0.198194 | + | 0.151001i | ||||
\(711\) | −38.0820 | − | 17.8595i | −1.42819 | − | 0.669784i | ||||
\(712\) | 9.34886 | − | 1.64846i | 0.350363 | − | 0.0617785i | ||||
\(713\) | −3.82168 | + | 0.673865i | −0.143123 | + | 0.0252364i | ||||
\(714\) | −25.1352 | + | 48.1554i | −0.940660 | + | 1.80217i | ||||
\(715\) | 17.4046 | − | 13.2603i | 0.650895 | − | 0.495908i | ||||
\(716\) | 8.97358 | − | 7.52972i | 0.335358 | − | 0.281399i | ||||
\(717\) | 0.174197 | + | 0.421855i | 0.00650551 | + | 0.0157545i | ||||
\(718\) | 15.7891 | + | 5.74677i | 0.589245 | + | 0.214468i | ||||
\(719\) | −21.7724 | + | 25.9473i | −0.811972 | + | 0.967671i | −0.999895 | − | 0.0145132i | \(-0.995380\pi\) |
0.187923 | + | 0.982184i | \(0.439825\pi\) | |||||||
\(720\) | 0.254921 | + | 6.70336i | 0.00950036 | + | 0.249819i | ||||
\(721\) | 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 | ||||
\(725\) | 30.5247 | + | 14.4899i | 1.13366 | + | 0.538142i | ||||
\(726\) | 1.86130 | − | 5.88084i | 0.0690794 | − | 0.218259i | ||||
\(727\) | 10.2253 | + | 28.0937i | 0.379234 | + | 1.04194i | 0.971675 | + | 0.236323i | \(0.0759422\pi\) |
−0.592441 | + | 0.805614i | \(0.701836\pi\) | |||||||
\(728\) | −11.7346 | + | 9.84651i | −0.434914 | + | 0.364936i | ||||
\(729\) | −18.9661 | − | 19.2168i | −0.702448 | − | 0.711735i | ||||
\(730\) | 10.9154 | − | 26.0982i | 0.403995 | − | 0.965937i | ||||
\(731\) | −3.64230 | + | 0.642235i | −0.134715 | + | 0.0237539i | ||||
\(732\) | −0.578773 | − | 2.62427i | −0.0213921 | − | 0.0969957i | ||||
\(733\) | 42.3594 | + | 24.4562i | 1.56458 | + | 0.903311i | 0.996783 | + | 0.0801433i | \(0.0255378\pi\) |
0.567798 | + | 0.823168i | \(0.307796\pi\) | |||||||
\(734\) | −14.0973 | − | 24.4173i | −0.520342 | − | 0.901259i | ||||
\(735\) | −28.1073 | + | 33.1905i | −1.03675 | + | 1.22425i | ||||
\(736\) | 0.183785 | + | 0.504945i | 0.00677440 | + | 0.0186125i | ||||
\(737\) | 5.24648 | − | 14.4146i | 0.193257 | − | 0.530968i | ||||
\(738\) | −10.9245 | + | 15.5293i | −0.402136 | + | 0.571643i | ||||
\(739\) | 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 | ||||
\(741\) | −5.64427 | − | 26.4924i | −0.207348 | − | 0.973223i | ||||
\(742\) | 1.32237i | 0.0485459i | ||||||||
\(743\) | 23.5611 | + | 4.15445i | 0.864372 | + | 0.152412i | 0.588219 | − | 0.808702i | \(-0.299829\pi\) |
0.276153 | + | 0.961114i | \(0.410940\pi\) | |||||||
\(744\) | 9.91531 | + | 7.62554i | 0.363513 | + | 0.279566i | ||||
\(745\) | −8.69639 | + | 38.5992i | −0.318611 | + | 1.41416i | ||||
\(746\) | −10.3273 | − | 28.3740i | −0.378110 | − | 1.03885i | ||||
\(747\) | 30.9080 | − | 30.7730i | 1.13086 | − | 1.12592i | ||||
\(748\) | −17.3497 | + | 10.0168i | −0.634367 | + | 0.366252i | ||||
\(749\) | 11.0975 | − | 19.2215i | 0.405495 | − | 0.702338i | ||||
\(750\) | 15.9884 | − | 10.9258i | 0.583812 | − | 0.398953i | ||||
\(751\) | 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 | ||||
\(753\) | −4.30161 | + | 2.73381i | −0.156759 | + | 0.0996257i | ||||
\(754\) | −15.5847 | − | 18.5732i | −0.567563 | − | 0.676395i | ||||
\(755\) | −10.2412 | − | 19.8391i | −0.372714 | − | 0.722019i | ||||
\(756\) | 4.87296 | − | 21.6439i | 0.177228 | − | 0.787182i | ||||
\(757\) | 22.0963 | − | 26.3333i | 0.803104 | − | 0.957101i | −0.196623 | − | 0.980479i | \(-0.562998\pi\) |
0.999727 | + | 0.0233776i | \(0.00744201\pi\) | |||||||
\(758\) | 2.10800 | − | 11.9551i | 0.0765662 | − | 0.434228i | ||||
\(759\) | 0.107949 | + | 2.53614i | 0.00391832 | + | 0.0920562i | ||||
\(760\) | −1.16979 | − | 9.67634i | −0.0424329 | − | 0.350998i | ||||
\(761\) | 29.7711i | 1.07920i | 0.841921 | + | 0.539601i | \(0.181425\pi\) | ||||
−0.841921 | + | 0.539601i | \(0.818575\pi\) | |||||||
\(762\) | −8.74003 | − | 1.16038i | −0.316618 | − | 0.0420361i | ||||
\(763\) | 4.72256 | + | 3.96269i | 0.170968 | + | 0.143459i | ||||
\(764\) | 4.27987 | − | 11.7589i | 0.154840 | − | 0.425420i | ||||
\(765\) | −41.7056 | + | 26.2409i | −1.50787 | + | 0.948741i | ||||
\(766\) | 3.76220 | − | 3.15686i | 0.135934 | − | 0.114062i | ||||
\(767\) | −17.6105 | − | 30.5022i | −0.635877 | − | 1.10137i | ||||
\(768\) | 0.801453 | − | 1.53547i | 0.0289199 | − | 0.0554066i | ||||
\(769\) | 2.50433 | + | 14.2028i | 0.0903084 | + | 0.512164i | 0.996084 | + | 0.0884075i | \(0.0281778\pi\) |
−0.905776 | + | 0.423757i | \(0.860711\pi\) | |||||||
\(770\) | −24.8606 | + | 7.74476i | −0.895913 | + | 0.279102i | ||||
\(771\) | −4.97719 | − | 2.59789i | −0.179249 | − | 0.0935607i | ||||
\(772\) | −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 | \(0.759824\pi\) | |||||||
\(774\) | 1.37041 | − | 0.635384i | 0.0492584 | − | 0.0228384i | ||||
\(775\) | 3.39405 | − | 35.9490i | 0.121918 | − | 1.29133i | ||||
\(776\) | −1.14280 | + | 1.36193i | −0.0410240 | + | 0.0488905i | ||||
\(777\) | 53.5603 | + | 7.11099i | 1.92147 | + | 0.255106i | ||||
\(778\) | −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 | ||||
\(783\) | 34.2573 | + | 7.71277i | 1.22426 | + | 0.275632i | ||||
\(784\) | 10.5526 | − | 3.84082i | 0.376877 | − | 0.137172i | ||||
\(785\) | −10.8983 | − | 10.0555i | −0.388977 | − | 0.358897i | ||||
\(786\) | 7.60675 | + | 11.9691i | 0.271324 | + | 0.426923i | ||||
\(787\) | 11.8390 | − | 20.5058i | 0.422015 | − | 0.730951i | −0.574122 | − | 0.818770i | \(-0.694656\pi\) |
0.996136 | + | 0.0878189i | \(0.0279897\pi\) | |||||||
\(788\) | 0.188312 | + | 1.06797i | 0.00670832 | + | 0.0380448i | ||||
\(789\) | 8.34239 | + | 37.8260i | 0.296997 | + | 1.34664i | ||||
\(790\) | 12.0969 | − | 28.9232i | 0.430389 | − | 1.02904i | ||||
\(791\) | 17.7433 | + | 30.7323i | 0.630880 | + | 1.09272i | ||||
\(792\) | 5.79833 | − | 5.77300i | 0.206035 | − | 0.205135i | ||||
\(793\) | 5.23083 | − | 1.90386i | 0.185752 | − | 0.0676082i | ||||
\(794\) | −3.94436 | − | 1.43563i | −0.139980 | − | 0.0509486i | ||||
\(795\) | −0.604460 | + | 1.03609i | −0.0214380 | + | 0.0367464i | ||||
\(796\) | 0.142298 | − | 0.807010i | 0.00504361 | − | 0.0286037i | ||||
\(797\) | − | 6.10678i | − | 0.216313i | −0.994134 | − | 0.108157i | \(-0.965505\pi\) | ||
0.994134 | − | 0.108157i | \(-0.0344948\pi\) | |||||||
\(798\) | −4.47111 | + | 31.9235i | −0.158276 | + | 1.13008i | ||||
\(799\) | 16.8778 | 0.597094 | ||||||||
\(800\) | −4.98385 | + | 0.401563i | −0.176206 | + | 0.0141974i | ||||
\(801\) | −23.2930 | − | 16.3861i | −0.823019 | − | 0.578973i | ||||
\(802\) | 8.92377 | − | 24.5178i | 0.315109 | − | 0.865755i | ||||
\(803\) | −32.4238 | + | 11.8013i | −1.14421 | + | 0.416459i | ||||
\(804\) | −7.18944 | + | 6.57344i | −0.253552 | + | 0.231828i | ||||
\(805\) | −4.08076 | + | 3.10907i | −0.143828 | + | 0.109580i | ||||
\(806\) | −12.9550 | + | 22.4387i | −0.456321 | + | 0.790371i | ||||
\(807\) | 1.89352 | + | 8.58559i | 0.0666551 | + | 0.302227i | ||||
\(808\) | 2.79151 | + | 15.8314i | 0.0982050 | + | 0.556948i | ||||
\(809\) | 32.4315 | + | 18.7243i | 1.14023 | + | 0.658313i | 0.946488 | − | 0.322739i | \(-0.104604\pi\) |
0.193743 | + | 0.981052i | \(0.437937\pi\) | |||||||
\(810\) | 13.7115 | − | 14.7308i | 0.481772 | − | 0.517586i | ||||
\(811\) | −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 | ||||
\(813\) | −24.9321 | − | 7.89106i | −0.874406 | − | 0.276752i | ||||
\(814\) | 15.2647 | + | 12.8086i | 0.535027 | + | 0.448941i | ||||
\(815\) | 7.60759 | + | 0.358330i | 0.266482 | + | 0.0125518i | ||||
\(816\) | 12.7110 | − | 0.541036i | 0.444974 | − | 0.0189401i | ||||
\(817\) | −1.90853 | + | 1.08375i | −0.0667710 | + | 0.0379156i | ||||
\(818\) | 32.7343 | 1.14453 | ||||||||
\(819\) | 45.7716 | + | 4.10548i | 1.59939 | + | 0.143457i | ||||
\(820\) | −11.9095 | − | 7.64483i | −0.415899 | − | 0.266969i | ||||
\(821\) | 15.5412 | − | 42.6992i | 0.542393 | − | 1.49021i | −0.301375 | − | 0.953506i | \(-0.597446\pi\) |
0.843769 | − | 0.536707i | \(-0.180332\pi\) | |||||||
\(822\) | −13.0968 | − | 31.7166i | −0.456803 | − | 1.10624i | ||||
\(823\) | −31.4264 | − | 37.4525i | −1.09546 | − | 1.30551i | −0.948643 | − | 0.316349i | \(-0.897543\pi\) |
−0.146813 | − | 0.989164i | \(-0.546902\pi\) | |||||||
\(824\) | 7.94208 | − | 4.58536i | 0.276675 | − | 0.159739i | ||||
\(825\) | −23.0186 | − | 5.29573i | −0.801406 | − | 0.184374i | ||||
\(826\) | 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 | \(0.148085\pi\) | |||||||
\(828\) | 0.684480 | − | 1.45952i | 0.0237873 | − | 0.0507219i | ||||
\(829\) | 26.5879 | − | 15.3506i | 0.923437 | − | 0.533147i | 0.0387074 | − | 0.999251i | \(-0.487676\pi\) |
0.884730 | + | 0.466104i | \(0.154343\pi\) | |||||||
\(830\) | 23.8925 | + | 22.0448i | 0.829319 | + | 0.765186i | ||||
\(831\) | −3.53675 | − | 8.56498i | −0.122689 | − | 0.297116i | ||||
\(832\) | 3.37139 | + | 1.22709i | 0.116882 | + | 0.0425416i | ||||
\(833\) | 63.1886 | + | 53.0215i | 2.18936 | + | 1.83709i | ||||
\(834\) | 10.5698 | + | 1.40331i | 0.366001 | + | 0.0485925i | ||||
\(835\) | 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 | 0.742338 | − | 0.670026i | \(-0.233717\pi\) |
−0.530941 | + | 0.847409i | \(0.678161\pi\) | |||||||
\(840\) | 16.2718 | + | 2.94520i | 0.561432 | + | 0.101619i | ||||
\(841\) | −15.6633 | + | 5.70098i | −0.540114 | + | 0.196585i | ||||
\(842\) | −4.15377 | + | 3.48542i | −0.143148 | + | 0.120116i | ||||
\(843\) | 2.13882 | + | 3.36540i | 0.0736649 | + | 0.115911i | ||||
\(844\) | −5.29226 | − | 3.05549i | −0.182167 | − | 0.105174i | ||||
\(845\) | 0.0851066 | + | 0.273191i | 0.00292776 | + | 0.00939806i | ||||
\(846\) | −6.66228 | + | 1.76953i | −0.229054 | + | 0.0608377i | ||||
\(847\) | −13.1683 | − | 7.60275i | −0.452470 | − | 0.261234i | ||||
\(848\) | 0.268222 | − | 0.154858i | 0.00921078 | − | 0.00531784i | ||||
\(849\) | −7.11549 | − | 7.78228i | −0.244203 | − | 0.267087i | ||||
\(850\) | −20.8585 | − | 30.2287i | −0.715441 | − | 1.03684i | ||||
\(851\) | 3.68918 | + | 1.34275i | 0.126463 | + | 0.0460289i | ||||
\(852\) | −4.07652 | − | 3.13512i | −0.139659 | − | 0.107407i | ||||
\(853\) | 8.66551 | + | 1.52796i | 0.296701 | + | 0.0523165i | 0.320017 | − | 0.947412i | \(-0.396311\pi\) |
−0.0233159 | + | 0.999728i | \(0.507422\pi\) | |||||||
\(854\) | −6.62448 | −0.226685 | ||||||||
\(855\) | −18.0954 | + | 22.9686i | −0.618851 | + | 0.785509i | ||||
\(856\) | −5.19835 | −0.177676 | ||||||||
\(857\) | 44.3957 | + | 7.82816i | 1.51653 | + | 0.267405i | 0.869068 | − | 0.494693i | \(-0.164720\pi\) |
0.647461 | + | 0.762098i | \(0.275831\pi\) | |||||||
\(858\) | 13.4349 | + | 10.3323i | 0.458659 | + | 0.352740i | ||||
\(859\) | 28.4775 | + | 10.3650i | 0.971639 | + | 0.353648i | 0.778584 | − | 0.627540i | \(-0.215938\pi\) |
0.193055 | + | 0.981188i | \(0.438160\pi\) | |||||||
\(860\) | 0.516447 | + | 1.00046i | 0.0176107 | + | 0.0341153i | ||||
\(861\) | 31.5828 | + | 34.5424i | 1.07634 | + | 1.17720i | ||||
\(862\) | 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 | \(0.937831\pi\) | |||||||
\(864\) | −4.96076 | + | 1.54623i | −0.168769 | + | 0.0526039i | ||||
\(865\) | 34.8794 | − | 10.8659i | 1.18594 | − | 0.369452i | ||||
\(866\) | 3.45006 | + | 1.99189i | 0.117238 | + | 0.0676873i | ||||
\(867\) | 34.3315 | + | 54.0201i | 1.16596 | + | 1.83462i | ||||
\(868\) | 23.6205 | − | 19.8200i | 0.801733 | − | 0.672733i | ||||
\(869\) | −35.9336 | + | 13.0788i | −1.21896 | + | 0.443667i | ||||
\(870\) | −4.66157 | + | 25.7546i | −0.158042 | + | 0.873162i | ||||
\(871\) | −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 | ||||
\(876\) | 21.7219 | + | 2.88393i | 0.733913 | + | 0.0974388i | ||||
\(877\) | −1.96201 | − | 1.64632i | −0.0662524 | − | 0.0555923i | 0.609060 | − | 0.793124i | \(-0.291547\pi\) |
−0.675313 | + | 0.737532i | \(0.735991\pi\) | |||||||
\(878\) | −14.4995 | − | 5.27740i | −0.489335 | − | 0.178104i | ||||
\(879\) | −10.0726 | − | 24.3928i | −0.339739 | − | 0.822750i | ||||
\(880\) | 4.48222 | + | 4.13560i | 0.151096 | + | 0.139411i | ||||
\(881\) | −45.9433 | + | 26.5254i | −1.54787 | + | 0.893663i | −0.549566 | + | 0.835450i | \(0.685207\pi\) |
−0.998304 | + | 0.0582130i | \(0.981460\pi\) | |||||||
\(882\) | −30.5018 | − | 14.3046i | −1.02705 | − | 0.481660i | ||||
\(883\) | −4.53659 | + | 0.799923i | −0.152668 | + | 0.0269196i | −0.249460 | − | 0.968385i | \(-0.580253\pi\) |
0.0967915 | + | 0.995305i | \(0.469142\pi\) | |||||||
\(884\) | 4.57621 | + | 25.9530i | 0.153915 | + | 0.872894i | ||||
\(885\) | −13.1656 | + | 35.6687i | −0.442556 | + | 1.19899i | ||||
\(886\) | −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 | \(-0.518248\pi\) | |||||||
\(888\) | −4.82988 | − | 11.6966i | −0.162080 | − | 0.392511i | ||||
\(889\) | −7.43343 | + | 20.4232i | −0.249309 | + | 0.684972i | ||||
\(890\) | 11.4668 | − | 17.8636i | 0.384367 | − | 0.598788i | ||||
\(891\) | −24.5463 | − | 0.107466i | −0.822333 | − | 0.00360025i | ||||
\(892\) | −20.5864 | −0.689282 | ||||||||
\(893\) | 9.43595 | − | 3.35811i | 0.315762 | − | 0.112375i | ||||
\(894\) | −30.6205 | + | 1.30334i | −1.02410 | + | 0.0435903i | ||||
\(895\) | 1.23240 | − | 26.1647i | 0.0411946 | − | 0.874589i | ||||
\(896\) | −3.27073 | − | 2.74447i | −0.109268 | − | 0.0916863i | ||||
\(897\) | 3.18355 | + | 1.00760i | 0.106296 | + | 0.0336428i | ||||
\(898\) | 8.74809 | + | 24.0352i | 0.291927 | + | 0.802064i | ||||
\(899\) | 31.3704 | + | 37.3858i | 1.04626 | + | 1.24689i | ||||
\(900\) | 11.4029 | + | 9.74548i | 0.380096 | + | 0.324849i | ||||
\(901\) | 1.97018 | + | 1.13749i | 0.0656363 | + | 0.0378951i | ||||
\(902\) | 2.99746 | + | 16.9994i | 0.0998044 | + | 0.566019i | ||||
\(903\) | −0.801956 | − | 3.63622i | −0.0266874 | − | 0.121006i | ||||
\(904\) | 4.15570 | − | 7.19788i | 0.138216 | − | 0.239398i | ||||
\(905\) | −17.0693 | + | 13.0049i | −0.567403 | + | 0.432297i | ||||
\(906\) | 12.7633 | − | 11.6697i | 0.424031 | − | 0.387700i | ||||
\(907\) | −12.6617 | + | 4.60846i | −0.420423 | + | 0.153022i | −0.543564 | − | 0.839368i | \(-0.682926\pi\) |
0.123141 | + | 0.992389i | \(0.460703\pi\) | |||||||
\(908\) | −2.94720 | + | 8.09736i | −0.0978062 | + | 0.268720i | ||||
\(909\) | 27.7483 | − | 39.4446i | 0.920353 | − | 1.30830i | ||||
\(910\) | −1.61159 | + | 34.2151i | −0.0534237 | + | 1.13422i | ||||
\(911\) | −5.70394 | −0.188980 | −0.0944899 | − | 0.995526i | \(-0.530122\pi\) | ||||
−0.0944899 | + | 0.995526i | \(0.530122\pi\) | |||||||
\(912\) | 6.99874 | − | 2.83154i | 0.231752 | − | 0.0937616i | ||||
\(913\) | − | 39.6519i | − | 1.31229i | ||||||
\(914\) | 0.872599 | − | 4.94876i | 0.0288630 | − | 0.163690i | ||||
\(915\) | −5.19034 | − | 3.02806i | −0.171587 | − | 0.100105i | ||||
\(916\) | 20.1874 | + | 7.34762i | 0.667011 | + | 0.242772i | ||||
\(917\) | 32.8508 | − | 11.9567i | 1.08483 | − | 0.394845i | ||||
\(918\) | −28.0552 | − | 25.8779i | −0.925961 | − | 0.854097i | ||||
\(919\) | −13.1437 | − | 22.7656i | −0.433572 | − | 0.750969i | 0.563606 | − | 0.826044i | \(-0.309414\pi\) |
−0.997178 | + | 0.0750748i | \(0.976080\pi\) | |||||||
\(920\) | 1.10851 | + | 0.463623i | 0.0365463 | + | 0.0152852i | ||||
\(921\) | 6.06754 | + | 27.5114i | 0.199932 | + | 0.906531i | ||||
\(922\) | −2.03556 | − | 11.5443i | −0.0670377 | − | 0.380190i | ||||
\(923\) | 5.32624 | − | 9.22532i | 0.175315 | − | 0.303655i | ||||
\(924\) | −10.8186 | − | 17.0228i | −0.355905 | − | 0.560010i | ||||
\(925\) | −21.1580 | + | 29.7794i | −0.695672 | + | 0.979142i | ||||
\(926\) | 30.5534 | − | 11.1205i | 1.00405 | − | 0.365443i | ||||
\(927\) | −26.5591 | − | 7.17883i | −0.872314 | − | 0.235784i | ||||
\(928\) | 4.34386 | − | 5.17681i | 0.142594 | − | 0.169937i | ||||
\(929\) | −50.7146 | − | 8.94235i | −1.66389 | − | 0.293389i | −0.739024 | − | 0.673679i | \(-0.764713\pi\) |
−0.924867 | + | 0.380290i | \(0.875824\pi\) | |||||||
\(930\) | 27.5666 | − | 4.73213i | 0.903945 | − | 0.155173i | ||||
\(931\) | 45.8766 | + | 17.0706i | 1.50354 | + | 0.559465i | ||||
\(932\) | 22.5106 | 0.737360 | ||||||||
\(933\) | −0.767647 | − | 0.101918i | −0.0251316 | − | 0.00333663i | ||||
\(934\) | 20.8325 | − | 24.8273i | 0.681662 | − | 0.812373i | ||||
\(935\) | −9.84588 | + | 43.7013i | −0.321995 | + | 1.42918i | ||||
\(936\) | −4.52740 | − | 9.76478i | −0.147983 | − | 0.319172i | ||||
\(937\) | 20.9514 | + | 24.9689i | 0.684452 | + | 0.815698i | 0.990673 | − | 0.136262i | \(-0.0435090\pi\) |
−0.306221 | + | 0.951961i | \(0.599065\pi\) | |||||||
\(938\) | 12.0069 | + | 20.7965i | 0.392038 | + | 0.679029i | ||||
\(939\) | −45.7447 | − | 23.8769i | −1.49282 | − | 0.779193i | ||||
\(940\) | −1.52817 | − | 4.90542i | −0.0498435 | − | 0.159997i | ||||
\(941\) | 2.77675 | + | 15.7477i | 0.0905195 | + | 0.513362i | 0.996029 | + | 0.0890348i | \(0.0283782\pi\) |
−0.905509 | + | 0.424327i | \(0.860511\pi\) | |||||||
\(942\) | 5.31487 | − | 10.1825i | 0.173168 | − | 0.331765i | ||||
\(943\) | 1.70044 | + | 2.94526i | 0.0553741 | + | 0.0959107i | ||||
\(944\) | 7.52023 | − | 6.31022i | 0.244763 | − | 0.205380i | ||||
\(945\) | −28.1808 | − | 40.8273i | −0.916721 | − | 1.32811i | ||||
\(946\) | 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 | \(0.917580\pi\) | |||||||
\(948\) | 24.0732 | + | 3.19610i | 0.781860 | + | 0.103805i | ||||
\(949\) | 45.3894i | 1.47340i | ||||||||
\(950\) | −17.6759 | − | 12.7500i | −0.573483 | − | 0.413663i | ||||
\(951\) | −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 | \(0.135322\pi\) | |||||||
\(954\) | −0.896959 | − | 0.242445i | −0.0290401 | − | 0.00784945i | ||||
\(955\) | −12.8349 | − | 24.8637i | −0.415328 | − | 0.804571i | ||||
\(956\) | −0.169378 | − | 0.201857i | −0.00547809 | − | 0.00652853i | ||||
\(957\) | 26.9432 | − | 17.1233i | 0.870950 | − | 0.553517i | ||||
\(958\) | −1.85147 | + | 3.20684i | −0.0598183 | + | 0.103608i | ||||
\(959\) | −83.3022 | + | 14.6884i | −2.68997 | + | 0.474314i | ||||
\(960\) | −1.30815 | − | 3.64537i | −0.0422202 | − | 0.117654i | ||||
\(961\) | 10.5771 | − | 18.3200i | 0.341196 | − | 0.590968i | ||||
\(962\) | 22.7007 | − | 13.1063i | 0.731901 | − | 0.422563i | ||||
\(963\) | 11.0032 | + | 11.0515i | 0.354573 | + | 0.356129i | ||||
\(964\) | 5.16482 | + | 14.1902i | 0.166348 | + | 0.457037i | ||||
\(965\) | −28.3495 | − | 6.38713i | −0.912602 | − | 0.205609i | ||||
\(966\) | −3.15001 | − | 2.42257i | −0.101350 | − | 0.0779448i | ||||
\(967\) | −38.7552 | − | 6.83359i | −1.24628 | − | 0.219753i | −0.488677 | − | 0.872465i | \(-0.662520\pi\) |
−0.757607 | + | 0.652711i | \(0.773631\pi\) | |||||||
\(968\) | 3.56131i | 0.114465i | ||||||||
\(969\) | 43.7162 | + | 34.1215i | 1.40437 | + | 1.09614i | ||||
\(970\) | 0.505364 | + | 3.94320i | 0.0162263 | + | 0.126608i | ||||
\(971\) | −4.66203 | + | 26.4397i | −0.149612 | + | 0.848490i | 0.813936 | + | 0.580954i | \(0.197321\pi\) |
−0.963548 | + | 0.267536i | \(0.913791\pi\) | |||||||
\(972\) | 13.7875 | + | 7.27351i | 0.442235 | + | 0.233298i | ||||
\(973\) | 8.98962 | − | 24.6988i | 0.288194 | − | 0.791806i | ||||
\(974\) | −9.30360 | − | 25.5614i | −0.298107 | − | 0.819041i | ||||
\(975\) | −16.9025 | + | 26.0712i | −0.541313 | + | 0.834947i | ||||
\(976\) | 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 | \(0.701750\pi\) | |||||||
\(978\) | 1.27055 | + | 5.76091i | 0.0406277 | + | 0.184213i | ||||
\(979\) | −25.4981 | + | 4.49600i | −0.814921 | + | 0.143693i | ||||
\(980\) | 9.68902 | − | 23.1661i | 0.309504 | − | 0.740012i | ||||
\(981\) | −3.55371 | + | 2.47676i | −0.113461 | + | 0.0790768i | ||||
\(982\) | −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 | \(0.863717\pi\) | |||||||
\(984\) | 3.30782 | − | 10.4512i | 0.105449 | − | 0.333171i | ||||
\(985\) | 2.04064 | + | 1.30991i | 0.0650204 | + | 0.0417371i | ||||
\(986\) | 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 | ||||||
\(990\) | −0.695271 | − | 18.2827i | −0.0220972 | − | 0.581063i | ||||
\(991\) | 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 | ||||
\(993\) | −16.7887 | − | 40.6572i | −0.532772 | − | 1.29022i | ||||
\(994\) | −9.71118 | + | 8.14865i | −0.308020 | + | 0.258460i | ||||
\(995\) | −1.11048 | − | 1.45754i | −0.0352045 | − | 0.0462070i | ||||
\(996\) | −11.6518 | + | 22.3233i | −0.369202 | + | 0.707340i | ||||
\(997\) | 20.6459 | − | 3.64043i | 0.653861 | − | 0.115293i | 0.163130 | − | 0.986605i | \(-0.447841\pi\) |
0.490731 | + | 0.871311i | \(0.336730\pi\) | |||||||
\(998\) | 8.45518 | − | 1.49088i | 0.267644 | − | 0.0471929i | ||||
\(999\) | −14.6431 | + | 35.0259i | −0.463288 | + | 1.10817i |
(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.59.4 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.59.26 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.59.37 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.59.15 | yes | 240 | |
19.10 | odd | 18 | inner | 570.2.bf.a.29.15 | yes | 240 | |
57.29 | even | 18 | inner | 570.2.bf.a.29.37 | yes | 240 | |
95.29 | odd | 18 | inner | 570.2.bf.a.29.26 | yes | 240 | |
285.29 | even | 18 | inner | 570.2.bf.a.29.4 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.4 | ✓ | 240 | 285.29 | even | 18 | inner | |
570.2.bf.a.29.15 | yes | 240 | 19.10 | odd | 18 | inner | |
570.2.bf.a.29.26 | yes | 240 | 95.29 | odd | 18 | inner | |
570.2.bf.a.29.37 | yes | 240 | 57.29 | even | 18 | inner | |
570.2.bf.a.59.4 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.59.15 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.59.26 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.59.37 | yes | 240 | 5.4 | even | 2 | inner |