Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(179,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 15, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.179");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bo (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 179.13 | ||
Character | \(\chi\) | \(=\) | 930.179 |
Dual form | 930.2.bo.b.239.13 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{30}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | − | 0.951057i | −0.218508 | − | 0.672499i | ||||
\(3\) | −0.608421 | + | 1.62167i | −0.351272 | + | 0.936274i | ||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | −1.34040 | + | 1.78978i | −0.599446 | + | 0.800415i | ||||
\(6\) | 1.73032 | + | 0.0775177i | 0.706398 | + | 0.0316465i | ||||
\(7\) | 1.34591 | − | 3.02296i | 0.508706 | − | 1.14257i | −0.458527 | − | 0.888680i | \(-0.651623\pi\) |
0.967233 | − | 0.253891i | \(-0.0817106\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | −2.25965 | − | 1.97332i | −0.753216 | − | 0.657773i | ||||
\(10\) | 2.11639 | + | 0.721724i | 0.669262 | + | 0.228229i | ||||
\(11\) | −0.120688 | − | 1.14827i | −0.0363888 | − | 0.346216i | −0.997535 | − | 0.0701751i | \(-0.977644\pi\) |
0.961146 | − | 0.276041i | \(-0.0890225\pi\) | |||||||
\(12\) | −0.460973 | − | 1.66958i | −0.133071 | − | 0.481967i | ||||
\(13\) | 4.21467 | + | 4.68087i | 1.16894 | + | 1.29824i | 0.946282 | + | 0.323342i | \(0.104806\pi\) |
0.222657 | + | 0.974897i | \(0.428527\pi\) | |||||||
\(14\) | −3.29092 | − | 0.345889i | −0.879534 | − | 0.0924428i | ||||
\(15\) | −2.08692 | − | 3.26263i | −0.538839 | − | 0.842409i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 3.08976 | + | 0.324747i | 0.749377 | + | 0.0787627i | 0.471515 | − | 0.881858i | \(-0.343707\pi\) |
0.277862 | + | 0.960621i | \(0.410374\pi\) | |||||||
\(18\) | −1.17847 | + | 2.75884i | −0.277767 | + | 0.650266i | ||||
\(19\) | 2.82222 | − | 3.13439i | 0.647462 | − | 0.719079i | −0.326650 | − | 0.945145i | \(-0.605920\pi\) |
0.974112 | + | 0.226066i | \(0.0725865\pi\) | |||||||
\(20\) | 0.0323997 | − | 2.23583i | 0.00724479 | − | 0.499948i | ||||
\(21\) | 4.08338 | + | 4.02186i | 0.891066 | + | 0.877641i | ||||
\(22\) | −1.05477 | + | 0.469615i | −0.224878 | + | 0.100122i | ||||
\(23\) | −3.96193 | + | 5.45313i | −0.826120 | + | 1.13706i | 0.162513 | + | 0.986706i | \(0.448040\pi\) |
−0.988633 | + | 0.150350i | \(0.951960\pi\) | |||||||
\(24\) | −1.44542 | + | 0.954341i | −0.295045 | + | 0.194804i | ||||
\(25\) | −1.40665 | − | 4.79806i | −0.281329 | − | 0.959611i | ||||
\(26\) | 3.14936 | − | 5.45486i | 0.617641 | − | 1.06979i | ||||
\(27\) | 4.57490 | − | 2.46380i | 0.880439 | − | 0.474159i | ||||
\(28\) | 0.687989 | + | 3.23673i | 0.130018 | + | 0.611685i | ||||
\(29\) | 1.70589 | + | 5.25019i | 0.316776 | + | 0.974936i | 0.975017 | + | 0.222129i | \(0.0713006\pi\) |
−0.658241 | + | 0.752807i | \(0.728699\pi\) | |||||||
\(30\) | −2.45806 | + | 2.99298i | −0.448778 | + | 0.546442i | ||||
\(31\) | −5.21092 | + | 1.96120i | −0.935909 | + | 0.352243i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 1.93554 | + | 0.502914i | 0.336935 | + | 0.0875460i | ||||
\(34\) | −0.645936 | − | 3.03889i | −0.110777 | − | 0.521165i | ||||
\(35\) | 3.60639 | + | 6.46087i | 0.609590 | + | 1.09209i | ||||
\(36\) | 2.98798 | + | 0.268260i | 0.497997 | + | 0.0447100i | ||||
\(37\) | 0.0241547 | + | 0.0418371i | 0.00397100 | + | 0.00687798i | 0.868004 | − | 0.496557i | \(-0.165403\pi\) |
−0.864033 | + | 0.503435i | \(0.832069\pi\) | |||||||
\(38\) | −3.85310 | − | 1.71551i | −0.625056 | − | 0.278293i | ||||
\(39\) | −10.1551 | + | 3.98688i | −1.62612 | + | 0.638412i | ||||
\(40\) | −2.13642 | + | 0.660097i | −0.337797 | + | 0.104370i | ||||
\(41\) | −0.141204 | + | 0.664315i | −0.0220524 | + | 0.103749i | −0.987797 | − | 0.155745i | \(-0.950222\pi\) |
0.965745 | + | 0.259493i | \(0.0835556\pi\) | |||||||
\(42\) | 2.56318 | − | 5.12634i | 0.395507 | − | 0.791012i | ||||
\(43\) | −1.07932 | + | 1.19870i | −0.164594 | + | 0.182800i | −0.819800 | − | 0.572650i | \(-0.805915\pi\) |
0.655206 | + | 0.755451i | \(0.272582\pi\) | |||||||
\(44\) | 0.772574 | + | 0.858030i | 0.116470 | + | 0.129353i | ||||
\(45\) | 6.56065 | − | 1.39924i | 0.978004 | − | 0.208587i | ||||
\(46\) | 6.41054 | + | 2.08291i | 0.945183 | + | 0.307109i | ||||
\(47\) | −3.17476 | + | 9.77091i | −0.463087 | + | 1.42523i | 0.398286 | + | 0.917261i | \(0.369605\pi\) |
−0.861373 | + | 0.507973i | \(0.830395\pi\) | |||||||
\(48\) | 1.35429 | + | 1.07977i | 0.195475 | + | 0.155851i | ||||
\(49\) | −2.64291 | − | 2.93525i | −0.377558 | − | 0.419321i | ||||
\(50\) | −4.12855 | + | 2.82048i | −0.583864 | + | 0.398876i | ||||
\(51\) | −2.40651 | + | 4.81300i | −0.336978 | + | 0.673955i | ||||
\(52\) | −6.16108 | − | 1.30958i | −0.854389 | − | 0.181606i | ||||
\(53\) | 3.83443 | + | 8.61227i | 0.526700 | + | 1.18299i | 0.959554 | + | 0.281523i | \(0.0908396\pi\) |
−0.432855 | + | 0.901464i | \(0.642494\pi\) | |||||||
\(54\) | −3.75694 | − | 3.58963i | −0.511255 | − | 0.488486i | ||||
\(55\) | 2.21692 | + | 1.32314i | 0.298930 | + | 0.178412i | ||||
\(56\) | 2.86572 | − | 1.65452i | 0.382947 | − | 0.221095i | ||||
\(57\) | 3.36587 | + | 6.48375i | 0.445820 | + | 0.858794i | ||||
\(58\) | 4.46608 | − | 3.24480i | 0.586425 | − | 0.426063i | ||||
\(59\) | 1.32774 | + | 6.24654i | 0.172858 | + | 0.813231i | 0.976056 | + | 0.217519i | \(0.0697965\pi\) |
−0.803199 | + | 0.595711i | \(0.796870\pi\) | |||||||
\(60\) | 3.60608 | + | 1.41287i | 0.465543 | + | 0.182401i | ||||
\(61\) | 6.48797i | 0.830700i | 0.909662 | + | 0.415350i | \(0.136341\pi\) | ||||
−0.909662 | + | 0.415350i | \(0.863659\pi\) | |||||||
\(62\) | 3.47548 | + | 4.34983i | 0.441386 | + | 0.552429i | ||||
\(63\) | −9.00655 | + | 4.17492i | −1.13472 | + | 0.525991i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −14.0271 | + | 1.26911i | −1.73985 | + | 0.157413i | ||||
\(66\) | −0.119817 | − | 1.99622i | −0.0147484 | − | 0.245718i | ||||
\(67\) | 3.45989 | + | 1.99757i | 0.422693 | + | 0.244042i | 0.696229 | − | 0.717820i | \(-0.254860\pi\) |
−0.273536 | + | 0.961862i | \(0.588193\pi\) | |||||||
\(68\) | −2.69055 | + | 1.55339i | −0.326277 | + | 0.188376i | ||||
\(69\) | −6.43268 | − | 9.74276i | −0.774404 | − | 1.17289i | ||||
\(70\) | 5.03022 | − | 5.42639i | 0.601226 | − | 0.648578i | ||||
\(71\) | −3.11955 | − | 7.00663i | −0.370223 | − | 0.831534i | −0.998563 | − | 0.0535950i | \(-0.982932\pi\) |
0.628340 | − | 0.777939i | \(-0.283735\pi\) | |||||||
\(72\) | −0.668207 | − | 2.92464i | −0.0787489 | − | 0.344672i | ||||
\(73\) | 1.14143 | + | 10.8600i | 0.133594 | + | 1.27106i | 0.831764 | + | 0.555130i | \(0.187331\pi\) |
−0.698170 | + | 0.715932i | \(0.746002\pi\) | |||||||
\(74\) | 0.0323253 | − | 0.0359008i | 0.00375774 | − | 0.00417339i | ||||
\(75\) | 8.63671 | + | 0.638115i | 0.997282 | + | 0.0736831i | ||||
\(76\) | −0.440874 | + | 4.19464i | −0.0505718 | + | 0.481158i | ||||
\(77\) | −3.63360 | − | 1.18063i | −0.414088 | − | 0.134545i | ||||
\(78\) | 6.92986 | + | 8.42608i | 0.784652 | + | 0.954066i | ||||
\(79\) | 10.5402 | + | 1.10782i | 1.18587 | + | 0.124640i | 0.676854 | − | 0.736117i | \(-0.263343\pi\) |
0.509016 | + | 0.860757i | \(0.330010\pi\) | |||||||
\(80\) | 1.28798 | + | 1.82787i | 0.144000 | + | 0.204362i | ||||
\(81\) | 1.21203 | + | 8.91801i | 0.134670 | + | 0.990891i | ||||
\(82\) | 0.675435 | − | 0.0709911i | 0.0745894 | − | 0.00783966i | ||||
\(83\) | 1.04037 | − | 4.89454i | 0.114195 | − | 0.537245i | −0.883442 | − | 0.468541i | \(-0.844780\pi\) |
0.997637 | − | 0.0687049i | \(-0.0218867\pi\) | |||||||
\(84\) | −5.66751 | − | 0.853601i | −0.618376 | − | 0.0931355i | ||||
\(85\) | −4.72275 | + | 5.09471i | −0.512254 | + | 0.552599i | ||||
\(86\) | 1.47356 | + | 0.656071i | 0.158898 | + | 0.0707460i | ||||
\(87\) | −9.55199 | − | 0.427927i | −1.02408 | − | 0.0458786i | ||||
\(88\) | 0.577297 | − | 0.999907i | 0.0615400 | − | 0.106590i | ||||
\(89\) | 9.81568 | − | 7.13151i | 1.04046 | − | 0.755938i | 0.0700845 | − | 0.997541i | \(-0.477673\pi\) |
0.970375 | + | 0.241603i | \(0.0776731\pi\) | |||||||
\(90\) | −3.35811 | − | 5.80716i | −0.353976 | − | 0.612128i | ||||
\(91\) | 19.8226 | − | 6.44076i | 2.07798 | − | 0.675176i | ||||
\(92\) | − | 6.74044i | − | 0.702740i | ||||||
\(93\) | −0.0100028 | − | 9.64365i | −0.00103724 | − | 0.999999i | ||||
\(94\) | 10.2737 | 1.05966 | ||||||||
\(95\) | 1.82698 | + | 9.25251i | 0.187444 | + | 0.949288i | ||||
\(96\) | 0.608421 | − | 1.62167i | 0.0620967 | − | 0.165511i | ||||
\(97\) | −10.2337 | − | 14.0855i | −1.03908 | − | 1.43017i | −0.897909 | − | 0.440182i | \(-0.854914\pi\) |
−0.141168 | − | 0.989986i | \(-0.545086\pi\) | |||||||
\(98\) | −1.97488 | + | 3.42060i | −0.199493 | + | 0.345532i | ||||
\(99\) | −1.99319 | + | 2.83284i | −0.200323 | + | 0.284711i | ||||
\(100\) | 3.95823 | + | 3.05490i | 0.395823 | + | 0.305490i | ||||
\(101\) | −6.81289 | + | 9.37713i | −0.677907 | + | 0.933060i | −0.999906 | − | 0.0136804i | \(-0.995645\pi\) |
0.321999 | + | 0.946740i | \(0.395645\pi\) | |||||||
\(102\) | 5.32109 | + | 0.801426i | 0.526866 | + | 0.0793530i | ||||
\(103\) | 2.60060 | − | 12.2349i | 0.256245 | − | 1.20554i | −0.642230 | − | 0.766512i | \(-0.721991\pi\) |
0.898475 | − | 0.439025i | \(-0.144676\pi\) | |||||||
\(104\) | 0.658396 | + | 6.26422i | 0.0645611 | + | 0.614257i | ||||
\(105\) | −12.6716 | + | 1.91746i | −1.23662 | + | 0.187124i | ||||
\(106\) | 7.00586 | − | 6.30810i | 0.680469 | − | 0.612697i | ||||
\(107\) | −0.497913 | + | 4.73733i | −0.0481351 | + | 0.457975i | 0.943733 | + | 0.330707i | \(0.107287\pi\) |
−0.991868 | + | 0.127267i | \(0.959379\pi\) | |||||||
\(108\) | −2.25298 | + | 4.68232i | −0.216793 | + | 0.450556i | ||||
\(109\) | −2.14786 | + | 6.61043i | −0.205728 | + | 0.633164i | 0.793955 | + | 0.607976i | \(0.208018\pi\) |
−0.999683 | + | 0.0251880i | \(0.991982\pi\) | |||||||
\(110\) | 0.573310 | − | 2.51729i | 0.0546630 | − | 0.240014i | ||||
\(111\) | −0.0825424 | + | 0.0137164i | −0.00783457 | + | 0.00130191i | ||||
\(112\) | −2.45910 | − | 2.21418i | −0.232363 | − | 0.209221i | ||||
\(113\) | 0.118024 | + | 1.12293i | 0.0111028 | + | 0.105636i | 0.998670 | − | 0.0515629i | \(-0.0164203\pi\) |
−0.987567 | + | 0.157199i | \(0.949754\pi\) | |||||||
\(114\) | 5.12630 | − | 5.20472i | 0.480122 | − | 0.487467i | ||||
\(115\) | −4.44934 | − | 14.4004i | −0.414903 | − | 1.34284i | ||||
\(116\) | −4.46608 | − | 3.24480i | −0.414665 | − | 0.301272i | ||||
\(117\) | −0.286836 | − | 18.8940i | −0.0265180 | − | 1.74675i | ||||
\(118\) | 5.53052 | − | 3.19305i | 0.509126 | − | 0.293944i | ||||
\(119\) | 5.14023 | − | 8.90315i | 0.471205 | − | 0.816150i | ||||
\(120\) | 0.229378 | − | 3.86618i | 0.0209393 | − | 0.352933i | ||||
\(121\) | 9.45567 | − | 2.00986i | 0.859606 | − | 0.182715i | ||||
\(122\) | 6.17043 | − | 2.00489i | 0.558644 | − | 0.181515i | ||||
\(123\) | −0.991390 | − | 0.633170i | −0.0893906 | − | 0.0570910i | ||||
\(124\) | 3.06296 | − | 4.64955i | 0.275061 | − | 0.417542i | ||||
\(125\) | 10.4730 | + | 3.91373i | 0.936729 | + | 0.350055i | ||||
\(126\) | 6.75376 | + | 7.27561i | 0.601673 | + | 0.648163i | ||||
\(127\) | −0.310131 | + | 0.0659204i | −0.0275197 | + | 0.00584949i | −0.221651 | − | 0.975126i | \(-0.571145\pi\) |
0.194131 | + | 0.980976i | \(0.437811\pi\) | |||||||
\(128\) | 0.809017 | − | 0.587785i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | −1.28723 | − | 2.47961i | −0.113334 | − | 0.218318i | ||||
\(130\) | 5.54160 | + | 12.9484i | 0.486030 | + | 1.13565i | ||||
\(131\) | 9.13985 | − | 20.5284i | 0.798552 | − | 1.79358i | 0.225107 | − | 0.974334i | \(-0.427727\pi\) |
0.573445 | − | 0.819244i | \(-0.305606\pi\) | |||||||
\(132\) | −1.86149 | + | 0.730819i | −0.162022 | + | 0.0636096i | ||||
\(133\) | −5.67670 | − | 12.7501i | −0.492232 | − | 1.10557i | ||||
\(134\) | 0.830636 | − | 3.90784i | 0.0717561 | − | 0.337586i | ||||
\(135\) | −1.72252 | + | 11.4906i | −0.148251 | + | 0.988950i | ||||
\(136\) | 2.30879 | + | 2.07884i | 0.197977 | + | 0.178259i | ||||
\(137\) | −6.91143 | + | 6.22308i | −0.590483 | + | 0.531674i | −0.909299 | − | 0.416143i | \(-0.863382\pi\) |
0.318816 | + | 0.947817i | \(0.396715\pi\) | |||||||
\(138\) | −7.27811 | + | 9.12852i | −0.619554 | + | 0.777071i | ||||
\(139\) | −3.50689 | − | 1.13946i | −0.297450 | − | 0.0966474i | 0.156490 | − | 0.987680i | \(-0.449982\pi\) |
−0.453940 | + | 0.891032i | \(0.649982\pi\) | |||||||
\(140\) | −6.71523 | − | 3.10717i | −0.567540 | − | 0.262604i | ||||
\(141\) | −13.9136 | − | 11.0933i | −1.17174 | − | 0.934220i | ||||
\(142\) | −5.69971 | + | 5.13204i | −0.478309 | + | 0.430671i | ||||
\(143\) | 4.86623 | − | 5.40450i | 0.406935 | − | 0.451947i | ||||
\(144\) | −2.57501 | + | 1.53926i | −0.214584 | + | 0.128272i | ||||
\(145\) | −11.6833 | − | 3.98419i | −0.970244 | − | 0.330869i | ||||
\(146\) | 9.97571 | − | 4.44147i | 0.825596 | − | 0.367579i | ||||
\(147\) | 6.36801 | − | 2.50007i | 0.525225 | − | 0.206202i | ||||
\(148\) | −0.0441328 | − | 0.0196492i | −0.00362769 | − | 0.00161515i | ||||
\(149\) | 4.71645 | − | 2.72304i | 0.386387 | − | 0.223080i | −0.294207 | − | 0.955742i | \(-0.595055\pi\) |
0.680593 | + | 0.732661i | \(0.261722\pi\) | |||||||
\(150\) | −2.06201 | − | 8.41119i | −0.168362 | − | 0.686771i | ||||
\(151\) | 8.76763 | + | 12.0676i | 0.713500 | + | 0.982048i | 0.999715 | + | 0.0238827i | \(0.00760283\pi\) |
−0.286215 | + | 0.958165i | \(0.592397\pi\) | |||||||
\(152\) | 4.12558 | − | 0.876918i | 0.334628 | − | 0.0711275i | ||||
\(153\) | −6.34095 | − | 6.83090i | −0.512635 | − | 0.552245i | ||||
\(154\) | 3.82060i | 0.307873i | ||||||||
\(155\) | 3.47459 | − | 11.9552i | 0.279086 | − | 0.960266i | ||||
\(156\) | 5.87224 | − | 9.19449i | 0.470155 | − | 0.736148i | ||||
\(157\) | 10.1200 | − | 3.28818i | 0.807663 | − | 0.262426i | 0.124055 | − | 0.992275i | \(-0.460410\pi\) |
0.683608 | + | 0.729850i | \(0.260410\pi\) | |||||||
\(158\) | −2.20351 | − | 10.3667i | −0.175302 | − | 0.824730i | ||||
\(159\) | −16.2992 | + | 0.978311i | −1.29261 | + | 0.0775851i | ||||
\(160\) | 1.34040 | − | 1.78978i | 0.105968 | − | 0.141495i | ||||
\(161\) | 11.1522 | + | 19.3162i | 0.878917 | + | 1.52233i | ||||
\(162\) | 8.10700 | − | 3.90852i | 0.636946 | − | 0.307083i | ||||
\(163\) | −5.10403 | + | 7.02510i | −0.399779 | + | 0.550248i | −0.960688 | − | 0.277629i | \(-0.910451\pi\) |
0.560910 | + | 0.827877i | \(0.310451\pi\) | |||||||
\(164\) | −0.276238 | − | 0.620440i | −0.0215705 | − | 0.0484482i | ||||
\(165\) | −3.49451 | + | 2.79010i | −0.272048 | + | 0.217209i | ||||
\(166\) | −4.97647 | + | 0.523049i | −0.386249 | + | 0.0405964i | ||||
\(167\) | 2.33054 | + | 2.09843i | 0.180343 | + | 0.162381i | 0.754358 | − | 0.656463i | \(-0.227948\pi\) |
−0.574015 | + | 0.818845i | \(0.694615\pi\) | |||||||
\(168\) | 0.939533 | + | 5.65390i | 0.0724866 | + | 0.436208i | ||||
\(169\) | −2.78819 | + | 26.5278i | −0.214476 | + | 2.04060i | ||||
\(170\) | 6.30477 | + | 2.91725i | 0.483554 | + | 0.223743i | ||||
\(171\) | −12.5624 | + | 1.51349i | −0.960670 | + | 0.115739i | ||||
\(172\) | 0.168606 | − | 1.60418i | 0.0128561 | − | 0.122317i | ||||
\(173\) | −10.7041 | − | 11.8881i | −0.813815 | − | 0.903833i | 0.183038 | − | 0.983106i | \(-0.441407\pi\) |
−0.996853 | + | 0.0792727i | \(0.974740\pi\) | |||||||
\(174\) | 2.54475 | + | 9.21672i | 0.192917 | + | 0.698718i | ||||
\(175\) | −16.3976 | − | 2.20551i | −1.23954 | − | 0.166721i | ||||
\(176\) | −1.12936 | − | 0.240053i | −0.0851289 | − | 0.0180947i | ||||
\(177\) | −10.9377 | − | 1.64736i | −0.822126 | − | 0.123823i | ||||
\(178\) | −9.81568 | − | 7.13151i | −0.735716 | − | 0.534529i | ||||
\(179\) | −2.96614 | − | 1.32061i | −0.221700 | − | 0.0987071i | 0.292881 | − | 0.956149i | \(-0.405386\pi\) |
−0.514581 | + | 0.857442i | \(0.672053\pi\) | |||||||
\(180\) | −4.48522 | + | 4.98826i | −0.334309 | + | 0.371803i | ||||
\(181\) | 11.2104 | + | 6.47232i | 0.833261 | + | 0.481084i | 0.854968 | − | 0.518681i | \(-0.173577\pi\) |
−0.0217067 | + | 0.999764i | \(0.506910\pi\) | |||||||
\(182\) | −12.2511 | − | 16.8621i | −0.908109 | − | 1.24991i | ||||
\(183\) | −10.5214 | − | 3.94741i | −0.777762 | − | 0.291801i | ||||
\(184\) | −6.41054 | + | 2.08291i | −0.472592 | + | 0.153554i | ||||
\(185\) | −0.107256 | − | 0.0128469i | −0.00788564 | − | 0.000944525i | ||||
\(186\) | −9.16856 | + | 2.98956i | −0.672272 | + | 0.219205i | ||||
\(187\) | − | 3.58707i | − | 0.262312i | ||||||
\(188\) | −3.17476 | − | 9.77091i | −0.231543 | − | 0.712617i | ||||
\(189\) | −1.29059 | − | 17.1458i | −0.0938769 | − | 1.24717i | ||||
\(190\) | 8.23510 | − | 4.59674i | 0.597437 | − | 0.333483i | ||||
\(191\) | −10.6932 | − | 6.17375i | −0.773736 | − | 0.446717i | 0.0604697 | − | 0.998170i | \(-0.480740\pi\) |
−0.834206 | + | 0.551453i | \(0.814073\pi\) | |||||||
\(192\) | −1.73032 | − | 0.0775177i | −0.124875 | − | 0.00559436i | ||||
\(193\) | −9.55204 | + | 21.4542i | −0.687571 | + | 1.54431i | 0.144418 | + | 0.989517i | \(0.453869\pi\) |
−0.831989 | + | 0.554792i | \(0.812798\pi\) | |||||||
\(194\) | −10.2337 | + | 14.0855i | −0.734739 | + | 1.01128i | ||||
\(195\) | 6.47629 | − | 23.5195i | 0.463777 | − | 1.68427i | ||||
\(196\) | 3.86345 | + | 0.821202i | 0.275961 | + | 0.0586573i | ||||
\(197\) | −6.14620 | + | 0.645992i | −0.437899 | + | 0.0460250i | −0.320913 | − | 0.947109i | \(-0.603990\pi\) |
−0.116986 | + | 0.993134i | \(0.537323\pi\) | |||||||
\(198\) | 3.31012 | + | 1.02024i | 0.235240 | + | 0.0725052i | ||||
\(199\) | 11.4742 | − | 10.3314i | 0.813384 | − | 0.732374i | −0.153346 | − | 0.988173i | \(-0.549005\pi\) |
0.966730 | + | 0.255798i | \(0.0823383\pi\) | |||||||
\(200\) | 1.68223 | − | 4.70852i | 0.118951 | − | 0.332942i | ||||
\(201\) | −5.34448 | + | 4.39545i | −0.376970 | + | 0.310031i | ||||
\(202\) | 11.0235 | + | 3.58175i | 0.775609 | + | 0.252011i | ||||
\(203\) | 18.1671 | + | 1.90944i | 1.27508 | + | 0.134016i | ||||
\(204\) | −0.882105 | − | 5.30831i | −0.0617597 | − | 0.371656i | ||||
\(205\) | −0.999709 | − | 1.14317i | −0.0698227 | − | 0.0798427i | ||||
\(206\) | −12.4397 | + | 1.30746i | −0.866713 | + | 0.0910952i | ||||
\(207\) | 19.7133 | − | 4.50401i | 1.37017 | − | 0.313050i | ||||
\(208\) | 5.75417 | − | 2.56192i | 0.398980 | − | 0.177637i | ||||
\(209\) | −3.93973 | − | 2.86238i | −0.272517 | − | 0.197995i | ||||
\(210\) | 5.73935 | + | 11.4589i | 0.396053 | + | 0.790739i | ||||
\(211\) | −1.75522 | − | 3.04014i | −0.120835 | − | 0.209292i | 0.799262 | − | 0.600982i | \(-0.205224\pi\) |
−0.920097 | + | 0.391690i | \(0.871890\pi\) | |||||||
\(212\) | −8.16429 | − | 4.71365i | −0.560726 | − | 0.323735i | ||||
\(213\) | 13.2605 | − | 0.795918i | 0.908592 | − | 0.0545354i | ||||
\(214\) | 4.65933 | − | 0.990371i | 0.318505 | − | 0.0677004i | ||||
\(215\) | −0.698699 | − | 3.53848i | −0.0476509 | − | 0.241323i | ||||
\(216\) | 5.14936 | + | 0.695796i | 0.350369 | + | 0.0473429i | ||||
\(217\) | −1.08478 | + | 18.3920i | −0.0736395 | + | 1.24853i | ||||
\(218\) | 6.95062 | 0.470755 | ||||||||
\(219\) | −18.3058 | − | 4.75640i | −1.23699 | − | 0.321408i | ||||
\(220\) | −2.57125 | + | 0.232634i | −0.173353 | + | 0.0156842i | ||||
\(221\) | 11.5022 | + | 15.8315i | 0.773724 | + | 1.06494i | ||||
\(222\) | 0.0385521 | + | 0.0742638i | 0.00258745 | + | 0.00498426i | ||||
\(223\) | 7.44447 | + | 12.8942i | 0.498519 | + | 0.863460i | 0.999999 | − | 0.00170952i | \(-0.000544158\pi\) |
−0.501480 | + | 0.865169i | \(0.667211\pi\) | |||||||
\(224\) | −1.34591 | + | 3.02296i | −0.0899273 | + | 0.201980i | ||||
\(225\) | −6.28957 | + | 13.6177i | −0.419304 | + | 0.907846i | ||||
\(226\) | 1.03149 | − | 0.459251i | 0.0686140 | − | 0.0305489i | ||||
\(227\) | 22.2315 | + | 4.72546i | 1.47556 | + | 0.313640i | 0.874289 | − | 0.485406i | \(-0.161328\pi\) |
0.601270 | + | 0.799046i | \(0.294662\pi\) | |||||||
\(228\) | −6.53410 | − | 3.26706i | −0.432731 | − | 0.216366i | ||||
\(229\) | 2.30371 | + | 2.07427i | 0.152233 | + | 0.137072i | 0.741728 | − | 0.670701i | \(-0.234006\pi\) |
−0.589495 | + | 0.807772i | \(0.700673\pi\) | |||||||
\(230\) | −12.3207 | + | 8.68154i | −0.812400 | + | 0.572444i | ||||
\(231\) | 4.12536 | − | 5.17420i | 0.271428 | − | 0.340437i | ||||
\(232\) | −1.70589 | + | 5.25019i | −0.111997 | + | 0.344692i | ||||
\(233\) | 4.00533 | − | 12.3271i | 0.262398 | − | 0.807577i | −0.729884 | − | 0.683571i | \(-0.760426\pi\) |
0.992281 | − | 0.124006i | \(-0.0395741\pi\) | |||||||
\(234\) | −17.8806 | + | 6.11136i | −1.16889 | + | 0.399512i | ||||
\(235\) | −13.2324 | − | 18.7791i | −0.863184 | − | 1.22501i | ||||
\(236\) | −4.74579 | − | 4.27313i | −0.308925 | − | 0.278157i | ||||
\(237\) | −8.20943 | + | 16.4188i | −0.533259 | + | 1.06652i | ||||
\(238\) | −10.0558 | − | 2.13743i | −0.651822 | − | 0.138549i | ||||
\(239\) | 12.6574 | − | 5.63544i | 0.818739 | − | 0.364526i | 0.0457561 | − | 0.998953i | \(-0.485430\pi\) |
0.772983 | + | 0.634426i | \(0.218764\pi\) | |||||||
\(240\) | −3.74784 | + | 0.976565i | −0.241922 | + | 0.0630370i | ||||
\(241\) | −7.69173 | + | 17.2759i | −0.495468 | + | 1.11284i | 0.476809 | + | 0.879007i | \(0.341793\pi\) |
−0.972277 | + | 0.233832i | \(0.924873\pi\) | |||||||
\(242\) | −4.83346 | − | 8.37179i | −0.310706 | − | 0.538159i | ||||
\(243\) | −15.1995 | − | 3.46039i | −0.975050 | − | 0.221984i | ||||
\(244\) | −3.81353 | − | 5.24888i | −0.244136 | − | 0.336025i | ||||
\(245\) | 8.79601 | − | 0.795822i | 0.561957 | − | 0.0508432i | ||||
\(246\) | −0.295824 | + | 1.13853i | −0.0188611 | + | 0.0725899i | ||||
\(247\) | 26.5664 | 1.69038 | ||||||||
\(248\) | −5.36849 | − | 1.47625i | −0.340899 | − | 0.0937422i | ||||
\(249\) | 7.30436 | + | 4.66507i | 0.462895 | + | 0.295637i | ||||
\(250\) | 0.485859 | − | 11.1698i | 0.0307284 | − | 0.706439i | ||||
\(251\) | −9.49239 | + | 2.01767i | −0.599154 | + | 0.127354i | −0.497498 | − | 0.867465i | \(-0.665748\pi\) |
−0.101657 | + | 0.994820i | \(0.532414\pi\) | |||||||
\(252\) | 4.83249 | − | 8.67150i | 0.304418 | − | 0.546253i | ||||
\(253\) | 6.73982 | + | 3.89124i | 0.423729 | + | 0.244640i | ||||
\(254\) | 0.158530 | + | 0.274582i | 0.00994704 | + | 0.0172288i | ||||
\(255\) | −5.38854 | − | 10.7585i | −0.337443 | − | 0.673722i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −5.52277 | + | 2.45890i | −0.344501 | + | 0.153382i | −0.571692 | − | 0.820469i | \(-0.693713\pi\) |
0.227191 | + | 0.973850i | \(0.427046\pi\) | |||||||
\(258\) | −1.96048 | + | 1.99047i | −0.122054 | + | 0.123921i | ||||
\(259\) | 0.158982 | − | 0.0167097i | 0.00987866 | − | 0.00103829i | ||||
\(260\) | 10.6022 | − | 9.27164i | 0.657520 | − | 0.575003i | ||||
\(261\) | 6.50559 | − | 15.2299i | 0.402686 | − | 0.942704i | ||||
\(262\) | −22.3481 | − | 2.34888i | −1.38067 | − | 0.145114i | ||||
\(263\) | −9.92977 | − | 3.22638i | −0.612296 | − | 0.198947i | −0.0135792 | − | 0.999908i | \(-0.504323\pi\) |
−0.598717 | + | 0.800961i | \(0.704323\pi\) | |||||||
\(264\) | 1.27028 | + | 1.54455i | 0.0781805 | + | 0.0950605i | ||||
\(265\) | −20.5538 | − | 4.68111i | −1.26261 | − | 0.287558i | ||||
\(266\) | −10.3718 | + | 9.33885i | −0.635939 | + | 0.572602i | ||||
\(267\) | 5.59292 | + | 20.2568i | 0.342281 | + | 1.23969i | ||||
\(268\) | −3.97325 | + | 0.417606i | −0.242705 | + | 0.0255093i | ||||
\(269\) | −18.0465 | − | 3.83589i | −1.10031 | − | 0.233879i | −0.378248 | − | 0.925704i | \(-0.623473\pi\) |
−0.722064 | + | 0.691826i | \(0.756807\pi\) | |||||||
\(270\) | 11.4605 | − | 1.91256i | 0.697461 | − | 0.116395i | ||||
\(271\) | 7.32147 | − | 10.0771i | 0.444748 | − | 0.612143i | −0.526511 | − | 0.850168i | \(-0.676500\pi\) |
0.971259 | + | 0.238026i | \(0.0765002\pi\) | |||||||
\(272\) | 1.26364 | − | 2.83819i | 0.0766195 | − | 0.172090i | ||||
\(273\) | −1.61568 | + | 36.0645i | −0.0977855 | + | 2.18272i | ||||
\(274\) | 8.05425 | + | 4.65012i | 0.486575 | + | 0.280924i | ||||
\(275\) | −5.33969 | + | 2.19427i | −0.321995 | + | 0.132320i | ||||
\(276\) | 10.9308 | + | 4.10102i | 0.657957 | + | 0.246853i | ||||
\(277\) | 2.36029 | + | 7.26421i | 0.141816 | + | 0.436464i | 0.996588 | − | 0.0825396i | \(-0.0263031\pi\) |
−0.854772 | + | 0.519004i | \(0.826303\pi\) | |||||||
\(278\) | 3.68736i | 0.221153i | ||||||||
\(279\) | 15.6449 | + | 5.85117i | 0.936637 | + | 0.350300i | ||||
\(280\) | −0.879975 | + | 7.34673i | −0.0525886 | + | 0.439051i | ||||
\(281\) | 22.7634 | − | 7.39627i | 1.35795 | − | 0.441224i | 0.462591 | − | 0.886572i | \(-0.346920\pi\) |
0.895358 | + | 0.445348i | \(0.146920\pi\) | |||||||
\(282\) | −6.25076 | + | 16.6607i | −0.372227 | + | 0.992128i | ||||
\(283\) | −6.91653 | − | 9.51978i | −0.411145 | − | 0.565892i | 0.552352 | − | 0.833611i | \(-0.313730\pi\) |
−0.963497 | + | 0.267718i | \(0.913730\pi\) | |||||||
\(284\) | 6.64216 | + | 3.83485i | 0.394140 | + | 0.227557i | ||||
\(285\) | −16.1161 | − | 2.66666i | −0.954637 | − | 0.157959i | ||||
\(286\) | −6.64373 | − | 2.95798i | −0.392852 | − | 0.174909i | ||||
\(287\) | 1.81815 | + | 1.32096i | 0.107322 | + | 0.0779740i | ||||
\(288\) | 2.25965 | + | 1.97332i | 0.133151 | + | 0.116279i | ||||
\(289\) | −7.18735 | − | 1.52772i | −0.422785 | − | 0.0898657i | ||||
\(290\) | −0.178858 | + | 12.3426i | −0.0105029 | + | 0.724785i | ||||
\(291\) | 29.0685 | − | 8.02584i | 1.70403 | − | 0.470483i | ||||
\(292\) | −7.30676 | − | 8.11498i | −0.427596 | − | 0.474893i | ||||
\(293\) | 2.66428 | − | 25.3489i | 0.155649 | − | 1.48090i | −0.586108 | − | 0.810233i | \(-0.699341\pi\) |
0.741757 | − | 0.670668i | \(-0.233993\pi\) | |||||||
\(294\) | −4.34553 | − | 5.28377i | −0.253436 | − | 0.308156i | ||||
\(295\) | −12.9597 | − | 5.99650i | −0.754541 | − | 0.349130i | ||||
\(296\) | −0.00504970 | + | 0.0480447i | −0.000293508 | + | 0.00279254i | ||||
\(297\) | −3.38124 | − | 4.95586i | −0.196200 | − | 0.287568i | ||||
\(298\) | −4.04723 | − | 3.64414i | −0.234450 | − | 0.211100i | ||||
\(299\) | −42.2236 | + | 4.43788i | −2.44186 | + | 0.256649i | ||||
\(300\) | −7.36232 | + | 4.56029i | −0.425064 | + | 0.263288i | ||||
\(301\) | 2.17097 | + | 4.87607i | 0.125133 | + | 0.281052i | ||||
\(302\) | 8.76763 | − | 12.0676i | 0.504520 | − | 0.694413i | ||||
\(303\) | −11.0615 | − | 16.7535i | −0.635469 | − | 0.962464i | ||||
\(304\) | −2.10887 | − | 3.65267i | −0.120952 | − | 0.209495i | ||||
\(305\) | −11.6121 | − | 8.69649i | −0.664905 | − | 0.497959i | ||||
\(306\) | −4.53711 | + | 8.14146i | −0.259369 | + | 0.465416i | ||||
\(307\) | −6.25505 | − | 29.4277i | −0.356994 | − | 1.67953i | −0.680065 | − | 0.733152i | \(-0.738049\pi\) |
0.323071 | − | 0.946375i | \(-0.395285\pi\) | |||||||
\(308\) | 3.63360 | − | 1.18063i | 0.207044 | − | 0.0672726i | ||||
\(309\) | 18.2587 | + | 11.6613i | 1.03870 | + | 0.663386i | ||||
\(310\) | −12.4438 | + | 0.389829i | −0.706760 | + | 0.0221408i | ||||
\(311\) | − | 13.9704i | − | 0.792191i | −0.918209 | − | 0.396095i | \(-0.870365\pi\) | ||
0.918209 | − | 0.396095i | \(-0.129635\pi\) | |||||||
\(312\) | −10.5591 | − | 2.74358i | −0.597791 | − | 0.155324i | ||||
\(313\) | 11.3543 | − | 2.41343i | 0.641782 | − | 0.136415i | 0.124486 | − | 0.992221i | \(-0.460272\pi\) |
0.517296 | + | 0.855806i | \(0.326939\pi\) | |||||||
\(314\) | −6.25449 | − | 8.60857i | −0.352962 | − | 0.485810i | ||||
\(315\) | 4.60018 | − | 21.7158i | 0.259191 | − | 1.22355i | ||||
\(316\) | −9.17839 | + | 5.29915i | −0.516325 | + | 0.298100i | ||||
\(317\) | −2.48454 | − | 1.10619i | −0.139546 | − | 0.0621298i | 0.335776 | − | 0.941942i | \(-0.391002\pi\) |
−0.475322 | + | 0.879812i | \(0.657668\pi\) | |||||||
\(318\) | 5.96717 | + | 15.1992i | 0.334622 | + | 0.852328i | ||||
\(319\) | 5.82275 | − | 2.59245i | 0.326011 | − | 0.145150i | ||||
\(320\) | −2.11639 | − | 0.721724i | −0.118310 | − | 0.0403456i | ||||
\(321\) | −7.37946 | − | 3.68974i | −0.411881 | − | 0.205941i | ||||
\(322\) | 14.9246 | − | 16.5754i | 0.831714 | − | 0.923712i | ||||
\(323\) | 9.73788 | − | 8.76802i | 0.541830 | − | 0.487866i | ||||
\(324\) | −6.22243 | − | 6.50241i | −0.345690 | − | 0.361245i | ||||
\(325\) | 16.5305 | − | 26.8065i | 0.916947 | − | 1.48696i | ||||
\(326\) | 8.25850 | + | 2.68335i | 0.457396 | + | 0.148617i | ||||
\(327\) | −9.41316 | − | 7.50505i | −0.520549 | − | 0.415030i | ||||
\(328\) | −0.504711 | + | 0.454444i | −0.0278680 | + | 0.0250925i | ||||
\(329\) | 25.2641 | + | 22.7479i | 1.39286 | + | 1.25413i | ||||
\(330\) | 3.73341 | + | 2.46129i | 0.205517 | + | 0.135490i | ||||
\(331\) | 5.61810 | − | 26.4311i | 0.308799 | − | 1.45278i | −0.500679 | − | 0.865633i | \(-0.666916\pi\) |
0.809478 | − | 0.587151i | \(-0.199750\pi\) | |||||||
\(332\) | 2.03526 | + | 4.57128i | 0.111700 | + | 0.250881i | ||||
\(333\) | 0.0279769 | − | 0.142202i | 0.00153312 | − | 0.00779263i | ||||
\(334\) | 1.27555 | − | 2.86493i | 0.0697949 | − | 0.156762i | ||||
\(335\) | −8.21286 | + | 3.51491i | −0.448717 | + | 0.192040i | ||||
\(336\) | 5.08685 | − | 2.64070i | 0.277510 | − | 0.144062i | ||||
\(337\) | −24.9707 | + | 18.1423i | −1.36024 | + | 0.988273i | −0.361811 | + | 0.932252i | \(0.617841\pi\) |
−0.998430 | + | 0.0560210i | \(0.982159\pi\) | |||||||
\(338\) | 26.0911 | − | 5.54583i | 1.41917 | − | 0.301653i | ||||
\(339\) | −1.89283 | − | 0.491815i | −0.102804 | − | 0.0267117i | ||||
\(340\) | 0.826187 | − | 6.89767i | 0.0448063 | − | 0.374079i | ||||
\(341\) | 2.88088 | + | 5.74684i | 0.156009 | + | 0.311209i | ||||
\(342\) | 5.32141 | + | 11.4798i | 0.287749 | + | 0.620759i | ||||
\(343\) | 9.59936 | − | 3.11902i | 0.518317 | − | 0.168411i | ||||
\(344\) | −1.57776 | + | 0.335364i | −0.0850674 | + | 0.0180816i | ||||
\(345\) | 26.0598 | + | 1.54611i | 1.40301 | + | 0.0832398i | ||||
\(346\) | −7.99849 | + | 13.8538i | −0.430001 | + | 0.744784i | ||||
\(347\) | −27.2650 | + | 15.7414i | −1.46366 | + | 0.845044i | −0.999178 | − | 0.0405382i | \(-0.987093\pi\) |
−0.464482 | + | 0.885583i | \(0.653759\pi\) | |||||||
\(348\) | 7.97925 | − | 5.26832i | 0.427733 | − | 0.282412i | ||||
\(349\) | −21.2558 | − | 15.4432i | −1.13779 | − | 0.826656i | −0.150984 | − | 0.988536i | \(-0.548244\pi\) |
−0.986810 | + | 0.161880i | \(0.948244\pi\) | |||||||
\(350\) | 2.96956 | + | 16.2765i | 0.158730 | + | 0.870018i | ||||
\(351\) | 30.8144 | + | 11.0303i | 1.64475 | + | 0.588756i | ||||
\(352\) | 0.120688 | + | 1.14827i | 0.00643268 | + | 0.0612029i | ||||
\(353\) | −5.59968 | − | 5.04198i | −0.298041 | − | 0.268357i | 0.506519 | − | 0.862229i | \(-0.330932\pi\) |
−0.804560 | + | 0.593871i | \(0.797599\pi\) | |||||||
\(354\) | 1.81320 | + | 10.9114i | 0.0963704 | + | 0.579935i | ||||
\(355\) | 16.7218 | + | 3.80838i | 0.887501 | + | 0.202128i | ||||
\(356\) | −3.74926 | + | 11.5390i | −0.198710 | + | 0.611567i | ||||
\(357\) | 11.3106 | + | 13.7526i | 0.598619 | + | 0.727867i | ||||
\(358\) | −0.339388 | + | 3.22906i | −0.0179372 | + | 0.170661i | ||||
\(359\) | −12.4871 | + | 11.2435i | −0.659045 | + | 0.593407i | −0.929275 | − | 0.369389i | \(-0.879567\pi\) |
0.270230 | + | 0.962796i | \(0.412900\pi\) | |||||||
\(360\) | 6.13013 | + | 2.72424i | 0.323086 | + | 0.143580i | ||||
\(361\) | 0.126546 | + | 1.20400i | 0.00666031 | + | 0.0633686i | ||||
\(362\) | 2.69134 | − | 12.6618i | 0.141454 | − | 0.665488i | ||||
\(363\) | −2.49368 | + | 16.5568i | −0.130884 | + | 0.869009i | ||||
\(364\) | −12.2511 | + | 16.8621i | −0.642130 | + | 0.883816i | ||||
\(365\) | −20.9669 | − | 12.5138i | −1.09746 | − | 0.655002i | ||||
\(366\) | −0.502932 | + | 11.2262i | −0.0262887 | + | 0.586805i | ||||
\(367\) | −18.0575 | + | 31.2765i | −0.942593 | + | 1.63262i | −0.182093 | + | 0.983281i | \(0.558287\pi\) |
−0.760500 | + | 0.649338i | \(0.775046\pi\) | |||||||
\(368\) | 3.96193 | + | 5.45313i | 0.206530 | + | 0.284264i | ||||
\(369\) | 1.62998 | − | 1.22248i | 0.0848532 | − | 0.0636396i | ||||
\(370\) | 0.0209259 | + | 0.105977i | 0.00108788 | + | 0.00550947i | ||||
\(371\) | 31.1954 | 1.61958 | ||||||||
\(372\) | 5.67649 | + | 7.79599i | 0.294312 | + | 0.404203i | ||||
\(373\) | − | 23.4844i | − | 1.21598i | −0.793946 | − | 0.607989i | \(-0.791977\pi\) | ||
0.793946 | − | 0.607989i | \(-0.208023\pi\) | |||||||
\(374\) | −3.41150 | + | 1.10846i | −0.176405 | + | 0.0573173i | ||||
\(375\) | −12.7188 | + | 14.6025i | −0.656793 | + | 0.754070i | ||||
\(376\) | −8.31164 | + | 6.03876i | −0.428640 | + | 0.311425i | ||||
\(377\) | −17.3857 | + | 30.1129i | −0.895408 | + | 1.55089i | ||||
\(378\) | −15.9078 | + | 6.52577i | −0.818209 | + | 0.335649i | ||||
\(379\) | 32.4944 | + | 14.4674i | 1.66913 | + | 0.743143i | 1.00000 | 6.32710e-6i | \(-2.01398e-6\pi\) | |
0.669126 | + | 0.743149i | \(0.266669\pi\) | |||||||
\(380\) | −6.91654 | − | 6.41157i | −0.354811 | − | 0.328907i | ||||
\(381\) | 0.0817888 | − | 0.543039i | 0.00419017 | − | 0.0278207i | ||||
\(382\) | −2.56719 | + | 12.0777i | −0.131349 | + | 0.617948i | ||||
\(383\) | 18.8515 | − | 1.98137i | 0.963265 | − | 0.101243i | 0.390179 | − | 0.920739i | \(-0.372413\pi\) |
0.573085 | + | 0.819496i | \(0.305746\pi\) | |||||||
\(384\) | 0.460973 | + | 1.66958i | 0.0235239 | + | 0.0852005i | ||||
\(385\) | 6.98356 | − | 4.92085i | 0.355915 | − | 0.250790i | ||||
\(386\) | 23.3559 | + | 2.45481i | 1.18879 | + | 0.124946i | ||||
\(387\) | 4.80430 | − | 0.578811i | 0.244216 | − | 0.0294226i | ||||
\(388\) | 16.5585 | + | 5.38019i | 0.840631 | + | 0.273138i | ||||
\(389\) | −0.674238 | + | 6.41495i | −0.0341852 | + | 0.325251i | 0.964043 | + | 0.265747i | \(0.0856185\pi\) |
−0.998228 | + | 0.0595038i | \(0.981048\pi\) | |||||||
\(390\) | −24.3697 | + | 1.10861i | −1.23401 | + | 0.0561364i | ||||
\(391\) | −14.0123 | + | 15.5623i | −0.708633 | + | 0.787017i | ||||
\(392\) | −0.412863 | − | 3.92813i | −0.0208527 | − | 0.198400i | ||||
\(393\) | 27.7295 | + | 27.3118i | 1.39877 | + | 1.37770i | ||||
\(394\) | 2.51366 | + | 5.64576i | 0.126636 | + | 0.284429i | ||||
\(395\) | −16.1109 | + | 17.3798i | −0.810628 | + | 0.874473i | ||||
\(396\) | −0.0525787 | − | 3.46338i | −0.00264218 | − | 0.174041i | ||||
\(397\) | 28.8260 | − | 16.6427i | 1.44673 | − | 0.835272i | 0.448448 | − | 0.893809i | \(-0.351977\pi\) |
0.998285 | + | 0.0585366i | \(0.0186434\pi\) | |||||||
\(398\) | −13.3715 | − | 7.72002i | −0.670251 | − | 0.386970i | ||||
\(399\) | 24.1303 | − | 1.44834i | 1.20802 | − | 0.0725079i | ||||
\(400\) | −4.99790 | − | 0.144881i | −0.249895 | − | 0.00724403i | ||||
\(401\) | −10.5200 | − | 32.3773i | −0.525345 | − | 1.61685i | −0.763633 | − | 0.645651i | \(-0.776586\pi\) |
0.238288 | − | 0.971195i | \(-0.423414\pi\) | |||||||
\(402\) | 5.83186 | + | 3.72463i | 0.290867 | + | 0.185768i | ||||
\(403\) | −31.1424 | − | 16.1258i | −1.55132 | − | 0.803282i | ||||
\(404\) | − | 11.5908i | − | 0.576663i | ||||||
\(405\) | −17.5859 | − | 9.78446i | −0.873851 | − | 0.486194i | ||||
\(406\) | −3.79796 | − | 17.8680i | −0.188489 | − | 0.886773i | ||||
\(407\) | 0.0451251 | − | 0.0327853i | 0.00223677 | − | 0.00162511i | ||||
\(408\) | −4.77592 | + | 2.47929i | −0.236443 | + | 0.122743i | ||||
\(409\) | −7.69209 | + | 4.44103i | −0.380349 | + | 0.219595i | −0.677970 | − | 0.735089i | \(-0.737140\pi\) |
0.297621 | + | 0.954684i | \(0.403807\pi\) | |||||||
\(410\) | −0.778296 | + | 1.30404i | −0.0384373 | + | 0.0644019i | ||||
\(411\) | −5.88675 | − | 14.9943i | −0.290372 | − | 0.739616i | ||||
\(412\) | 5.08754 | + | 11.4268i | 0.250645 | + | 0.562958i | ||||
\(413\) | 20.6701 | + | 4.39356i | 1.01711 | + | 0.216193i | ||||
\(414\) | −10.3753 | − | 17.3567i | −0.509920 | − | 0.853035i | ||||
\(415\) | 7.36565 | + | 8.42268i | 0.361566 | + | 0.413453i | ||||
\(416\) | −4.21467 | − | 4.68087i | −0.206641 | − | 0.229498i | ||||
\(417\) | 3.98149 | − | 4.99376i | 0.194974 | − | 0.244545i | ||||
\(418\) | −1.50484 | + | 4.63143i | −0.0736043 | + | 0.226531i | ||||
\(419\) | −13.9622 | − | 4.53660i | −0.682099 | − | 0.221627i | −0.0525849 | − | 0.998616i | \(-0.516746\pi\) |
−0.629514 | + | 0.776989i | \(0.716746\pi\) | |||||||
\(420\) | 9.12450 | − | 8.99944i | 0.445230 | − | 0.439128i | ||||
\(421\) | 17.9956 | + | 19.9861i | 0.877050 | + | 0.974063i | 0.999831 | − | 0.0183712i | \(-0.00584805\pi\) |
−0.122781 | + | 0.992434i | \(0.539181\pi\) | |||||||
\(422\) | −2.34895 | + | 2.60877i | −0.114345 | + | 0.126993i | ||||
\(423\) | 26.4550 | − | 15.8140i | 1.28628 | − | 0.768904i | ||||
\(424\) | −1.96005 | + | 9.22130i | −0.0951883 | + | 0.447826i | ||||
\(425\) | −2.78805 | − | 15.2817i | −0.135240 | − | 0.741269i | ||||
\(426\) | −4.85467 | − | 12.3655i | −0.235210 | − | 0.599110i | ||||
\(427\) | 19.6129 | + | 8.73222i | 0.949134 | + | 0.422582i | ||||
\(428\) | −2.38171 | − | 4.12524i | −0.115124 | − | 0.199401i | ||||
\(429\) | 5.80361 | + | 11.1796i | 0.280201 | + | 0.539758i | ||||
\(430\) | −3.14939 | + | 1.75795i | −0.151877 | + | 0.0847761i | ||||
\(431\) | −3.27516 | − | 15.4084i | −0.157759 | − | 0.742198i | −0.983898 | − | 0.178731i | \(-0.942801\pi\) |
0.826139 | − | 0.563466i | \(-0.190533\pi\) | |||||||
\(432\) | −0.929497 | − | 5.11234i | −0.0447205 | − | 0.245968i | ||||
\(433\) | −15.2909 | −0.734836 | −0.367418 | − | 0.930056i | \(-0.619758\pi\) | ||||
−0.367418 | + | 0.930056i | \(0.619758\pi\) | |||||||
\(434\) | 17.8271 | − | 4.65176i | 0.855726 | − | 0.223291i | ||||
\(435\) | 13.5694 | − | 16.5224i | 0.650603 | − | 0.792189i | ||||
\(436\) | −2.14786 | − | 6.61043i | −0.102864 | − | 0.316582i | ||||
\(437\) | 5.91082 | + | 27.8082i | 0.282753 | + | 1.33025i | ||||
\(438\) | 1.13319 | + | 18.8796i | 0.0541460 | + | 0.902104i | ||||
\(439\) | 0.0237595 | − | 0.0411526i | 0.00113398 | − | 0.00196411i | −0.865458 | − | 0.500982i | \(-0.832972\pi\) |
0.866592 | + | 0.499018i | \(0.166306\pi\) | |||||||
\(440\) | 1.01581 | + | 2.37351i | 0.0484267 | + | 0.113153i | ||||
\(441\) | 0.179867 | + | 11.8479i | 0.00856510 | + | 0.564187i | ||||
\(442\) | 11.5022 | − | 15.8315i | 0.547105 | − | 0.753026i | ||||
\(443\) | 22.1522 | − | 9.86281i | 1.05248 | − | 0.468596i | 0.193768 | − | 0.981047i | \(-0.437929\pi\) |
0.858716 | + | 0.512451i | \(0.171263\pi\) | |||||||
\(444\) | 0.0587159 | − | 0.0596140i | 0.00278653 | − | 0.00282916i | ||||
\(445\) | −0.393100 | + | 27.1270i | −0.0186347 | + | 1.28594i | ||||
\(446\) | 9.96265 | − | 11.0646i | 0.471745 | − | 0.523926i | ||||
\(447\) | 1.54630 | + | 9.30530i | 0.0731376 | + | 0.440125i | ||||
\(448\) | 3.29092 | + | 0.345889i | 0.155481 | + | 0.0163417i | ||||
\(449\) | 5.55304 | − | 17.0905i | 0.262064 | − | 0.806550i | −0.730291 | − | 0.683136i | \(-0.760616\pi\) |
0.992355 | − | 0.123414i | \(-0.0393844\pi\) | |||||||
\(450\) | 14.8948 | + | 1.77364i | 0.702146 | + | 0.0836101i | ||||
\(451\) | 0.779853 | + | 0.0819659i | 0.0367218 | + | 0.00385962i | ||||
\(452\) | −0.755523 | − | 0.839094i | −0.0355368 | − | 0.0394676i | ||||
\(453\) | −24.9041 | + | 6.87605i | −1.17010 | + | 0.323065i | ||||
\(454\) | −2.37574 | − | 22.6037i | −0.111499 | − | 1.06084i | ||||
\(455\) | −15.0427 | + | 44.1114i | −0.705214 | + | 2.06798i | ||||
\(456\) | −1.08801 | + | 7.22387i | −0.0509507 | + | 0.338289i | ||||
\(457\) | 28.2046 | + | 20.4919i | 1.31936 | + | 0.958569i | 0.999940 | + | 0.0109544i | \(0.00348695\pi\) |
0.319417 | + | 0.947614i | \(0.396513\pi\) | |||||||
\(458\) | 1.26086 | − | 2.83194i | 0.0589162 | − | 0.132328i | ||||
\(459\) | 14.9354 | − | 6.12689i | 0.697127 | − | 0.285979i | ||||
\(460\) | 12.0639 | + | 9.03490i | 0.562484 | + | 0.421255i | ||||
\(461\) | −13.4885 | + | 9.79998i | −0.628223 | + | 0.456431i | −0.855784 | − | 0.517333i | \(-0.826925\pi\) |
0.227561 | + | 0.973764i | \(0.426925\pi\) | |||||||
\(462\) | −6.19576 | − | 2.32453i | −0.288253 | − | 0.108147i | ||||
\(463\) | 2.14520 | + | 6.60225i | 0.0996960 | + | 0.306833i | 0.988449 | − | 0.151554i | \(-0.0484276\pi\) |
−0.888753 | + | 0.458386i | \(0.848428\pi\) | |||||||
\(464\) | 5.52038 | 0.256277 | ||||||||
\(465\) | 17.2734 | + | 12.9085i | 0.801037 | + | 0.598615i | ||||
\(466\) | −12.9615 | −0.600430 | ||||||||
\(467\) | 10.5356 | + | 32.4252i | 0.487529 | + | 1.50046i | 0.828285 | + | 0.560307i | \(0.189317\pi\) |
−0.340756 | + | 0.940152i | \(0.610683\pi\) | |||||||
\(468\) | 11.3377 | + | 15.1170i | 0.524084 | + | 0.698782i | ||||
\(469\) | 10.6953 | − | 7.77057i | 0.493862 | − | 0.358812i | ||||
\(470\) | −13.7709 | + | 18.3878i | −0.635206 | + | 0.848165i | ||||
\(471\) | −0.824849 | + | 18.4119i | −0.0380070 | + | 0.848376i | ||||
\(472\) | −2.59746 | + | 5.83399i | −0.119558 | + | 0.268531i | ||||
\(473\) | 1.50669 | + | 1.09468i | 0.0692778 | + | 0.0503332i | ||||
\(474\) | 18.1521 | + | 2.73394i | 0.833752 | + | 0.125574i | ||||
\(475\) | −19.0089 | − | 9.13219i | −0.872187 | − | 0.419014i | ||||
\(476\) | 1.07460 | + | 10.2242i | 0.0492543 | + | 0.468623i | ||||
\(477\) | 8.33029 | − | 27.0273i | 0.381418 | − | 1.23749i | ||||
\(478\) | −9.27097 | − | 10.2965i | −0.424044 | − | 0.470949i | ||||
\(479\) | 7.84789 | + | 0.824846i | 0.358579 | + | 0.0376882i | 0.282105 | − | 0.959383i | \(-0.408967\pi\) |
0.0764738 | + | 0.997072i | \(0.475634\pi\) | |||||||
\(480\) | 2.08692 | + | 3.26263i | 0.0952542 | + | 0.148918i | ||||
\(481\) | −0.0940300 | + | 0.289395i | −0.00428740 | + | 0.0131953i | ||||
\(482\) | 18.8072 | + | 1.97672i | 0.856646 | + | 0.0900371i | ||||
\(483\) | −38.1098 | + | 6.33287i | −1.73406 | + | 0.288156i | ||||
\(484\) | −6.46843 | + | 7.18392i | −0.294019 | + | 0.326542i | ||||
\(485\) | 38.9273 | + | 0.564100i | 1.76760 | + | 0.0256144i | ||||
\(486\) | 1.40588 | + | 15.5249i | 0.0637722 | + | 0.704225i | ||||
\(487\) | −6.01462 | + | 2.67788i | −0.272548 | + | 0.121346i | −0.538460 | − | 0.842651i | \(-0.680994\pi\) |
0.265912 | + | 0.963997i | \(0.414327\pi\) | |||||||
\(488\) | −3.81353 | + | 5.24888i | −0.172631 | + | 0.237606i | ||||
\(489\) | −8.28702 | − | 12.5513i | −0.374752 | − | 0.567589i | ||||
\(490\) | −3.47499 | − | 8.11958i | −0.156984 | − | 0.366805i | ||||
\(491\) | 14.6876 | − | 25.4396i | 0.662840 | − | 1.14807i | −0.317026 | − | 0.948417i | \(-0.602684\pi\) |
0.979866 | − | 0.199656i | \(-0.0639823\pi\) | |||||||
\(492\) | 1.17422 | − | 0.0704788i | 0.0529379 | − | 0.00317743i | ||||
\(493\) | 3.56581 | + | 16.7758i | 0.160596 | + | 0.755545i | ||||
\(494\) | −8.20947 | − | 25.2662i | −0.369362 | − | 1.13678i | ||||
\(495\) | −2.39850 | − | 7.36451i | −0.107804 | − | 0.331010i | ||||
\(496\) | 0.254954 | + | 5.56192i | 0.0114478 | + | 0.249738i | ||||
\(497\) | −25.3794 | −1.13842 | ||||||||
\(498\) | 2.17958 | − | 8.38845i | 0.0976691 | − | 0.375895i | ||||
\(499\) | −3.33657 | − | 15.6973i | −0.149365 | − | 0.702708i | −0.987548 | − | 0.157319i | \(-0.949715\pi\) |
0.838183 | − | 0.545390i | \(-0.183618\pi\) | |||||||
\(500\) | −10.7732 | + | 2.98957i | −0.481793 | + | 0.133698i | ||||
\(501\) | −4.82092 | + | 2.50265i | −0.215383 | + | 0.111810i | ||||
\(502\) | 4.85223 | + | 8.40431i | 0.216566 | + | 0.375103i | ||||
\(503\) | 24.9632 | + | 11.1143i | 1.11305 | + | 0.495563i | 0.879077 | − | 0.476680i | \(-0.158160\pi\) |
0.233975 | + | 0.972243i | \(0.424827\pi\) | |||||||
\(504\) | −9.74041 | − | 1.91633i | −0.433872 | − | 0.0853602i | ||||
\(505\) | −7.65103 | − | 24.7627i | −0.340466 | − | 1.10193i | ||||
\(506\) | 1.61807 | − | 7.61240i | 0.0719318 | − | 0.338413i | ||||
\(507\) | −41.3231 | − | 20.6616i | −1.83522 | − | 0.917614i | ||||
\(508\) | 0.212154 | − | 0.235621i | 0.00941282 | − | 0.0104540i | ||||
\(509\) | 3.92159 | + | 4.35537i | 0.173821 | + | 0.193048i | 0.823760 | − | 0.566938i | \(-0.191872\pi\) |
−0.649939 | + | 0.759986i | \(0.725206\pi\) | |||||||
\(510\) | −8.56677 | + | 8.44936i | −0.379343 | + | 0.374144i | ||||
\(511\) | 34.3655 | + | 11.1660i | 1.52024 | + | 0.493956i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | 5.18883 | − | 21.2929i | 0.229092 | − | 0.940106i | ||||
\(514\) | 4.04518 | + | 4.49263i | 0.178425 | + | 0.198161i | ||||
\(515\) | 18.4119 | + | 21.0541i | 0.811325 | + | 0.927756i | ||||
\(516\) | 2.49887 | + | 1.24944i | 0.110006 | + | 0.0550034i | ||||
\(517\) | 11.6028 | + | 2.46625i | 0.510290 | + | 0.108465i | ||||
\(518\) | −0.0650200 | − | 0.146037i | −0.00285681 | − | 0.00641651i | ||||
\(519\) | 25.7911 | − | 10.1256i | 1.13211 | − | 0.444462i | ||||
\(520\) | −12.0941 | − | 7.21819i | −0.530362 | − | 0.316538i | ||||
\(521\) | −6.32997 | + | 3.65461i | −0.277321 | + | 0.160111i | −0.632210 | − | 0.774797i | \(-0.717852\pi\) |
0.354889 | + | 0.934908i | \(0.384519\pi\) | |||||||
\(522\) | −16.4948 | − | 1.48090i | −0.721957 | − | 0.0648171i | ||||
\(523\) | −1.13017 | + | 0.821119i | −0.0494191 | + | 0.0359050i | −0.612221 | − | 0.790687i | \(-0.709724\pi\) |
0.562802 | + | 0.826592i | \(0.309724\pi\) | |||||||
\(524\) | 4.67202 | + | 21.9801i | 0.204098 | + | 0.960206i | ||||
\(525\) | 13.5532 | − | 25.2496i | 0.591511 | − | 1.10198i | ||||
\(526\) | 10.4408i | 0.455240i | ||||||||
\(527\) | −16.7374 | + | 4.36742i | −0.729092 | + | 0.190248i | ||||
\(528\) | 1.07642 | − | 1.68540i | 0.0468450 | − | 0.0733478i | ||||
\(529\) | −6.93236 | − | 21.3356i | −0.301407 | − | 0.927635i | ||||
\(530\) | 1.89947 | + | 20.9943i | 0.0825077 | + | 0.911936i | ||||
\(531\) | 9.32619 | − | 16.7351i | 0.404722 | − | 0.726240i | ||||
\(532\) | 12.0869 | + | 6.97835i | 0.524032 | + | 0.302550i | ||||
\(533\) | −3.70470 | + | 2.13891i | −0.160468 | + | 0.0926464i | ||||
\(534\) | 17.5370 | − | 11.5789i | 0.758902 | − | 0.501067i | ||||
\(535\) | −7.81138 | − | 7.24108i | −0.337716 | − | 0.313059i | ||||
\(536\) | 1.62497 | + | 3.64974i | 0.0701880 | + | 0.157645i | ||||
\(537\) | 3.94626 | − | 4.00662i | 0.170294 | − | 0.172899i | ||||
\(538\) | 1.92851 | + | 18.3486i | 0.0831440 | + | 0.791062i | ||||
\(539\) | −3.05148 | + | 3.38902i | −0.131437 | + | 0.145975i | ||||
\(540\) | −5.36043 | − | 10.3085i | −0.230676 | − | 0.443608i | ||||
\(541\) | −0.509607 | + | 4.84859i | −0.0219097 | + | 0.208457i | 0.978090 | + | 0.208181i | \(0.0667544\pi\) |
−1.00000 | 0.000275682i | \(0.999912\pi\) | ||||||||
\(542\) | −11.8464 | − | 3.84913i | −0.508846 | − | 0.165334i | ||||
\(543\) | −17.3166 | + | 14.2417i | −0.743127 | + | 0.611169i | ||||
\(544\) | −3.08976 | − | 0.324747i | −0.132472 | − | 0.0139234i | ||||
\(545\) | −8.95224 | − | 12.7048i | −0.383472 | − | 0.544215i | ||||
\(546\) | 34.7987 | − | 9.60795i | 1.48925 | − | 0.411182i | ||||
\(547\) | −5.80365 | + | 0.609988i | −0.248146 | + | 0.0260812i | −0.227785 | − | 0.973711i | \(-0.573148\pi\) |
−0.0203612 | + | 0.999793i | \(0.506482\pi\) | |||||||
\(548\) | 1.93363 | − | 9.09701i | 0.0826006 | − | 0.388605i | ||||
\(549\) | 12.8028 | − | 14.6605i | 0.546412 | − | 0.625697i | ||||
\(550\) | 3.73693 | + | 4.40028i | 0.159343 | + | 0.187629i | ||||
\(551\) | 21.2706 | + | 9.47027i | 0.906157 | + | 0.403447i | ||||
\(552\) | 0.522504 | − | 11.6631i | 0.0222392 | − | 0.496414i | ||||
\(553\) | 17.5351 | − | 30.3717i | 0.745669 | − | 1.29154i | ||||
\(554\) | 6.17931 | − | 4.48953i | 0.262534 | − | 0.190742i | ||||
\(555\) | 0.0860905 | − | 0.166118i | 0.00365434 | − | 0.00705134i | ||||
\(556\) | 3.50689 | − | 1.13946i | 0.148725 | − | 0.0483237i | ||||
\(557\) | − | 12.2616i | − | 0.519540i | −0.965671 | − | 0.259770i | \(-0.916353\pi\) | ||
0.965671 | − | 0.259770i | \(-0.0836467\pi\) | |||||||
\(558\) | 0.730245 | − | 16.6873i | 0.0309137 | − | 0.706431i | ||||
\(559\) | −10.1599 | −0.429719 | ||||||||
\(560\) | 7.25908 | − | 1.43336i | 0.306752 | − | 0.0605705i | ||||
\(561\) | 5.81705 | + | 2.18245i | 0.245596 | + | 0.0921429i | ||||
\(562\) | −14.0685 | − | 19.3637i | −0.593445 | − | 0.816807i | ||||
\(563\) | 1.76916 | − | 3.06428i | 0.0745614 | − | 0.129144i | −0.826334 | − | 0.563180i | \(-0.809578\pi\) |
0.900895 | + | 0.434036i | \(0.142911\pi\) | |||||||
\(564\) | 17.7768 | + | 0.796397i | 0.748539 | + | 0.0335344i | ||||
\(565\) | −2.16799 | − | 1.29393i | −0.0912082 | − | 0.0544362i | ||||
\(566\) | −6.91653 | + | 9.51978i | −0.290723 | + | 0.400146i | ||||
\(567\) | 28.5901 | + | 8.33893i | 1.20067 | + | 0.350202i | ||||
\(568\) | 1.59462 | − | 7.50211i | 0.0669089 | − | 0.314781i | ||||
\(569\) | −4.65163 | − | 44.2573i | −0.195006 | − | 1.85536i | −0.455948 | − | 0.890006i | \(-0.650700\pi\) |
0.260942 | − | 0.965355i | \(-0.415967\pi\) | |||||||
\(570\) | 2.44401 | + | 16.1514i | 0.102368 | + | 0.676507i | ||||
\(571\) | 8.90729 | − | 8.02016i | 0.372758 | − | 0.335633i | −0.461366 | − | 0.887210i | \(-0.652640\pi\) |
0.834124 | + | 0.551577i | \(0.185974\pi\) | |||||||
\(572\) | −0.760180 | + | 7.23263i | −0.0317847 | + | 0.302411i | ||||
\(573\) | 16.5178 | − | 13.5847i | 0.690041 | − | 0.567510i | ||||
\(574\) | 0.694471 | − | 2.13736i | 0.0289867 | − | 0.0892118i | ||||
\(575\) | 31.7375 | + | 11.3389i | 1.32354 | + | 0.472867i | ||||
\(576\) | 1.17847 | − | 2.75884i | 0.0491028 | − | 0.114952i | ||||
\(577\) | 32.6424 | + | 29.3914i | 1.35892 | + | 1.22358i | 0.950476 | + | 0.310797i | \(0.100596\pi\) |
0.408447 | + | 0.912782i | \(0.366071\pi\) | |||||||
\(578\) | 0.768066 | + | 7.30766i | 0.0319473 | + | 0.303959i | ||||
\(579\) | −28.9801 | − | 28.5435i | −1.20437 | − | 1.18623i | ||||
\(580\) | 11.7938 | − | 3.64398i | 0.489712 | − | 0.151308i | ||||
\(581\) | −13.3958 | − | 9.73259i | −0.555750 | − | 0.403776i | ||||
\(582\) | −16.6157 | − | 25.1657i | −0.688743 | − | 1.04315i | ||||
\(583\) | 9.42643 | − | 5.44235i | 0.390403 | − | 0.225399i | ||||
\(584\) | −5.45989 | + | 9.45680i | −0.225932 | + | 0.391325i | ||||
\(585\) | 34.2006 | + | 24.8122i | 1.41402 | + | 1.02586i | ||||
\(586\) | −24.9316 | + | 5.29937i | −1.02991 | + | 0.218915i | ||||
\(587\) | 15.3261 | − | 4.97976i | 0.632577 | − | 0.205537i | 0.0248606 | − | 0.999691i | \(-0.492086\pi\) |
0.607716 | + | 0.794154i | \(0.292086\pi\) | |||||||
\(588\) | −3.68232 | + | 5.76562i | −0.151857 | + | 0.237770i | ||||
\(589\) | −8.55918 | + | 21.8680i | −0.352675 | + | 0.901056i | ||||
\(590\) | −1.69826 | + | 14.1784i | −0.0699161 | + | 0.583715i | ||||
\(591\) | 2.69189 | − | 10.3602i | 0.110729 | − | 0.426160i | ||||
\(592\) | 0.0472537 | − | 0.0100441i | 0.00194211 | − | 0.000412809i | ||||
\(593\) | −21.0365 | + | 15.2839i | −0.863865 | + | 0.627634i | −0.928934 | − | 0.370246i | \(-0.879273\pi\) |
0.0650690 | + | 0.997881i | \(0.479273\pi\) | |||||||
\(594\) | −3.66844 | + | 4.74720i | −0.150518 | + | 0.194780i | ||||
\(595\) | 9.04472 | + | 21.1337i | 0.370797 | + | 0.866397i | ||||
\(596\) | −2.21512 | + | 4.97525i | −0.0907350 | + | 0.203794i | ||||
\(597\) | 9.77304 | + | 24.8932i | 0.399984 | + | 1.01881i | ||||
\(598\) | 17.2685 | + | 38.7857i | 0.706161 | + | 1.58606i | ||||
\(599\) | 3.61424 | − | 17.0037i | 0.147674 | − | 0.694752i | −0.840550 | − | 0.541735i | \(-0.817768\pi\) |
0.988224 | − | 0.153017i | \(-0.0488989\pi\) | |||||||
\(600\) | 6.61217 | + | 5.59278i | 0.269941 | + | 0.228324i | ||||
\(601\) | −16.7950 | − | 15.1223i | −0.685081 | − | 0.616850i | 0.251269 | − | 0.967917i | \(-0.419152\pi\) |
−0.936350 | + | 0.351068i | \(0.885819\pi\) | |||||||
\(602\) | 3.96656 | − | 3.57150i | 0.161665 | − | 0.145564i | ||||
\(603\) | −3.87630 | − | 11.3413i | −0.157855 | − | 0.461853i | ||||
\(604\) | −14.1863 | − | 4.60942i | −0.577233 | − | 0.187555i | ||||
\(605\) | −9.07717 | + | 19.6176i | −0.369040 | + | 0.797570i | ||||
\(606\) | −12.5153 | + | 15.6973i | −0.508401 | + | 0.637658i | ||||
\(607\) | −29.9700 | + | 26.9851i | −1.21644 | + | 1.09529i | −0.223749 | + | 0.974647i | \(0.571830\pi\) |
−0.992696 | + | 0.120645i | \(0.961504\pi\) | |||||||
\(608\) | −2.82222 | + | 3.13439i | −0.114456 | + | 0.127116i | ||||
\(609\) | −14.1497 | + | 28.2994i | −0.573376 | + | 1.14675i | ||||
\(610\) | −4.68253 | + | 13.7311i | −0.189590 | + | 0.555956i | ||||
\(611\) | −59.1169 | + | 26.3205i | −2.39161 | + | 1.06482i | ||||
\(612\) | 9.14503 | + | 1.79920i | 0.369666 | + | 0.0727282i | ||||
\(613\) | −7.92029 | − | 3.52634i | −0.319897 | − | 0.142428i | 0.240505 | − | 0.970648i | \(-0.422687\pi\) |
−0.560403 | + | 0.828220i | \(0.689354\pi\) | |||||||
\(614\) | −26.0545 | + | 15.0426i | −1.05147 | + | 0.607068i | ||||
\(615\) | 2.46210 | − | 0.925670i | 0.0992814 | − | 0.0373266i | ||||
\(616\) | −2.24569 | − | 3.09093i | −0.0904815 | − | 0.124537i | ||||
\(617\) | 18.0107 | − | 3.82830i | 0.725084 | − | 0.154121i | 0.169439 | − | 0.985541i | \(-0.445805\pi\) |
0.555645 | + | 0.831419i | \(0.312471\pi\) | |||||||
\(618\) | 5.44827 | − | 20.9686i | 0.219162 | − | 0.843480i | ||||
\(619\) | − | 1.43990i | − | 0.0578746i | −0.999581 | − | 0.0289373i | \(-0.990788\pi\) | ||
0.999581 | − | 0.0289373i | \(-0.00921232\pi\) | |||||||
\(620\) | 4.21609 | + | 11.7143i | 0.169322 | + | 0.470457i | ||||
\(621\) | −4.68997 | + | 34.7089i | −0.188202 | + | 1.39282i | ||||
\(622\) | −13.2867 | + | 4.31710i | −0.532747 | + | 0.173100i | ||||
\(623\) | −8.34726 | − | 39.2708i | −0.334426 | − | 1.57335i | ||||
\(624\) | 0.653645 | + | 10.8901i | 0.0261667 | + | 0.435953i | ||||
\(625\) | −21.0427 | + | 13.4983i | −0.841708 | + | 0.539934i | ||||
\(626\) | −5.80397 | − | 10.0528i | −0.231973 | − | 0.401790i | ||||
\(627\) | 7.03887 | − | 4.64743i | 0.281105 | − | 0.185600i | ||||
\(628\) | −6.25449 | + | 8.60857i | −0.249582 | + | 0.343519i | ||||
\(629\) | 0.0610457 | + | 0.137111i | 0.00243405 | + | 0.00546697i | ||||
\(630\) | −22.0745 | + | 2.33553i | −0.879470 | + | 0.0930497i | ||||
\(631\) | −3.88089 | + | 0.407898i | −0.154496 | + | 0.0162382i | −0.181461 | − | 0.983398i | \(-0.558082\pi\) |
0.0269647 | + | 0.999636i | \(0.491416\pi\) | |||||||
\(632\) | 7.87607 | + | 7.09164i | 0.313293 | + | 0.282090i | ||||
\(633\) | 5.99802 | − | 0.996718i | 0.238400 | − | 0.0396160i | ||||
\(634\) | −0.284283 | + | 2.70477i | −0.0112903 | + | 0.107420i | ||||
\(635\) | 0.297717 | − | 0.643427i | 0.0118145 | − | 0.0255336i | ||||
\(636\) | 12.6113 | − | 10.3719i | 0.500072 | − | 0.411274i | ||||
\(637\) | 2.60051 | − | 24.7422i | 0.103036 | − | 0.980321i | ||||
\(638\) | −4.26490 | − | 4.73665i | −0.168849 | − | 0.187526i | ||||
\(639\) | −6.77722 | + | 21.9884i | −0.268103 | + | 0.869847i | ||||
\(640\) | −0.0323997 | + | 2.23583i | −0.00128071 | + | 0.0883791i | ||||
\(641\) | 3.67126 | + | 0.780350i | 0.145006 | + | 0.0308220i | 0.279843 | − | 0.960046i | \(-0.409718\pi\) |
−0.134837 | + | 0.990868i | \(0.543051\pi\) | |||||||
\(642\) | −1.22877 | + | 8.15847i | −0.0484958 | + | 0.321989i | ||||
\(643\) | −33.1490 | − | 24.0842i | −1.30727 | − | 0.949787i | −0.307271 | − | 0.951622i | \(-0.599416\pi\) |
−0.999998 | + | 0.00183542i | \(0.999416\pi\) | |||||||
\(644\) | −20.3761 | − | 9.07202i | −0.802931 | − | 0.357488i | ||||
\(645\) | 6.16337 | + | 1.01982i | 0.242682 | + | 0.0401555i | ||||
\(646\) | −11.3481 | − | 6.55180i | −0.446483 | − | 0.257777i | ||||
\(647\) | −16.2713 | − | 22.3955i | −0.639690 | − | 0.880457i | 0.358909 | − | 0.933372i | \(-0.383149\pi\) |
−0.998599 | + | 0.0529151i | \(0.983149\pi\) | |||||||
\(648\) | −4.26133 | + | 7.92724i | −0.167401 | + | 0.311411i | ||||
\(649\) | 7.01246 | − | 2.27849i | 0.275263 | − | 0.0894385i | ||||
\(650\) | −30.6028 | − | 7.43777i | −1.20034 | − | 0.291733i | ||||
\(651\) | −29.1658 | − | 12.9492i | −1.14310 | − | 0.507520i | ||||
\(652\) | − | 8.68350i | − | 0.340072i | ||||||
\(653\) | 10.7758 | + | 33.1645i | 0.421690 | + | 1.29783i | 0.906129 | + | 0.423002i | \(0.139024\pi\) |
−0.484439 | + | 0.874825i | \(0.660976\pi\) | |||||||
\(654\) | −4.22890 | + | 11.2716i | −0.165363 | + | 0.440756i | ||||
\(655\) | 24.4904 | + | 43.8747i | 0.956918 | + | 1.71433i | ||||
\(656\) | 0.588166 | + | 0.339578i | 0.0229640 | + | 0.0132583i | ||||
\(657\) | 18.8509 | − | 26.7921i | 0.735445 | − | 1.04526i | ||||
\(658\) | 13.8275 | − | 31.0571i | 0.539053 | − | 1.21073i | ||||
\(659\) | −14.6831 | + | 20.2096i | −0.571973 | + | 0.787254i | −0.992787 | − | 0.119894i | \(-0.961745\pi\) |
0.420813 | + | 0.907147i | \(0.361745\pi\) | |||||||
\(660\) | 1.18714 | − | 4.31126i | 0.0462094 | − | 0.167816i | ||||
\(661\) | −39.0378 | − | 8.29775i | −1.51840 | − | 0.322745i | −0.628102 | − | 0.778131i | \(-0.716168\pi\) |
−0.890294 | + | 0.455386i | \(0.849501\pi\) | |||||||
\(662\) | −26.8735 | + | 2.82452i | −1.04447 | + | 0.109778i | ||||
\(663\) | −32.6716 | + | 9.02067i | −1.26886 | + | 0.350334i | ||||
\(664\) | 3.71861 | − | 3.34825i | 0.144310 | − | 0.129937i | ||||
\(665\) | 30.4289 | + | 6.93016i | 1.17998 | + | 0.268740i | ||||
\(666\) | −0.143888 | + | 0.0173353i | −0.00557553 | + | 0.000671728i | ||||
\(667\) | −35.3886 | − | 11.4985i | −1.37025 | − | 0.445222i | ||||
\(668\) | −3.11887 | − | 0.327807i | −0.120673 | − | 0.0126832i | ||||
\(669\) | −25.4396 | + | 4.22740i | −0.983550 | + | 0.163441i | ||||
\(670\) | 5.88079 | + | 6.72473i | 0.227195 | + | 0.259799i | ||||
\(671\) | 7.44993 | − | 0.783019i | 0.287601 | − | 0.0302281i | ||||
\(672\) | −4.08338 | − | 4.02186i | −0.157520 | − | 0.155146i | ||||
\(673\) | 24.5130 | − | 10.9139i | 0.944908 | − | 0.420700i | 0.124334 | − | 0.992240i | \(-0.460321\pi\) |
0.820574 | + | 0.571540i | \(0.193654\pi\) | |||||||
\(674\) | 24.9707 | + | 18.1423i | 0.961835 | + | 0.698814i | ||||
\(675\) | −18.2567 | − | 18.4849i | −0.702702 | − | 0.711484i | ||||
\(676\) | −13.3370 | − | 23.1003i | −0.512961 | − | 0.888474i | ||||
\(677\) | 17.0575 | + | 9.84817i | 0.655574 | + | 0.378496i | 0.790589 | − | 0.612348i | \(-0.209775\pi\) |
−0.135014 | + | 0.990844i | \(0.543108\pi\) | |||||||
\(678\) | 0.117173 | + | 1.95217i | 0.00449999 | + | 0.0749725i | ||||
\(679\) | −56.3536 | + | 11.9783i | −2.16265 | + | 0.459686i | ||||
\(680\) | −6.81538 | + | 1.34575i | −0.261358 | + | 0.0516070i | ||||
\(681\) | −21.1893 | + | 33.1772i | −0.811975 | + | 1.27135i | ||||
\(682\) | 4.57533 | − | 4.51575i | 0.175198 | − | 0.172917i | ||||
\(683\) | −42.7712 | −1.63659 | −0.818297 | − | 0.574796i | \(-0.805081\pi\) | ||||
−0.818297 | + | 0.574796i | \(0.805081\pi\) | |||||||
\(684\) | 9.27358 | − | 8.60843i | 0.354584 | − | 0.329151i | ||||
\(685\) | −1.87387 | − | 20.7114i | −0.0715969 | − | 0.791341i | ||||
\(686\) | −5.93273 | − | 8.16570i | −0.226513 | − | 0.311768i | ||||
\(687\) | −4.76541 | + | 2.47384i | −0.181812 | + | 0.0943827i | ||||
\(688\) | 0.806506 | + | 1.39691i | 0.0307478 | + | 0.0532567i | ||||
\(689\) | −24.1520 | + | 54.2464i | −0.920119 | + | 2.06662i | ||||
\(690\) | −6.58248 | − | 25.2621i | −0.250591 | − | 0.961712i | ||||
\(691\) | 28.5153 | − | 12.6958i | 1.08477 | − | 0.482972i | 0.215096 | − | 0.976593i | \(-0.430993\pi\) |
0.869677 | + | 0.493621i | \(0.164327\pi\) | |||||||
\(692\) | 15.6474 | + | 3.32596i | 0.594825 | + | 0.126434i | ||||
\(693\) | 5.88091 | + | 9.83807i | 0.223397 | + | 0.373717i | ||||
\(694\) | 23.3963 | + | 21.0661i | 0.888113 | + | 0.799660i | ||||
\(695\) | 6.74002 | − | 4.74924i | 0.255663 | − | 0.180149i | ||||
\(696\) | −7.47620 | − | 5.96072i | −0.283384 | − | 0.225941i | ||||
\(697\) | −0.652022 | + | 2.00672i | −0.0246971 | + | 0.0760099i | ||||
\(698\) | −8.11898 | + | 24.9876i | −0.307308 | + | 0.945796i | ||||
\(699\) | 17.5537 | + | 13.9954i | 0.663940 | + | 0.529355i | ||||
\(700\) | 14.5623 | − | 7.85395i | 0.550402 | − | 0.296851i | ||||
\(701\) | 2.74845 | + | 2.47472i | 0.103808 | + | 0.0934689i | 0.719400 | − | 0.694596i | \(-0.244417\pi\) |
−0.615593 | + | 0.788064i | \(0.711083\pi\) | |||||||
\(702\) | 0.968302 | − | 32.7148i | 0.0365462 | − | 1.23474i | ||||
\(703\) | 0.199304 | + | 0.0423634i | 0.00751689 | + | 0.00159776i | ||||
\(704\) | 1.05477 | − | 0.469615i | 0.0397533 | − | 0.0176993i | ||||
\(705\) | 38.5044 | − | 10.0330i | 1.45016 | − | 0.377864i | ||||
\(706\) | −3.06481 | + | 6.88367i | −0.115346 | + | 0.259070i | ||||
\(707\) | 19.1772 | + | 33.2159i | 0.721232 | + | 1.24921i | ||||
\(708\) | 9.81706 | − | 5.09627i | 0.368948 | − | 0.191529i | ||||
\(709\) | −5.32291 | − | 7.32636i | −0.199906 | − | 0.275147i | 0.697281 | − | 0.716798i | \(-0.254393\pi\) |
−0.897187 | + | 0.441651i | \(0.854393\pi\) | |||||||
\(710\) | −1.54534 | − | 17.0802i | −0.0579955 | − | 0.641009i | ||||
\(711\) | −21.6311 | − | 23.3025i | −0.811231 | − | 0.873914i | ||||
\(712\) | 12.1328 | 0.454698 | ||||||||
\(713\) | 9.95061 | − | 36.1860i | 0.372653 | − | 1.35518i | ||||
\(714\) | 9.58438 | − | 15.0068i | 0.358686 | − | 0.561615i | ||||
\(715\) | 3.15017 | + | 15.9537i | 0.117810 | + | 0.596634i | ||||
\(716\) | 3.17589 | − | 0.675057i | 0.118689 | − | 0.0252281i | ||||
\(717\) | 1.43782 | + | 23.9549i | 0.0536963 | + | 0.894612i | ||||
\(718\) | 14.5519 | + | 8.40154i | 0.543072 | + | 0.313543i | ||||
\(719\) | 13.8905 | + | 24.0590i | 0.518028 | + | 0.897251i | 0.999781 | + | 0.0209434i | \(0.00666699\pi\) |
−0.481753 | + | 0.876307i | \(0.660000\pi\) | |||||||
\(720\) | 0.696594 | − | 6.67194i | 0.0259605 | − | 0.248648i | ||||
\(721\) | −33.4853 | − | 24.3285i | −1.24706 | − | 0.906041i | ||||
\(722\) | 1.10597 | − | 0.492410i | 0.0411600 | − | 0.0183256i | ||||
\(723\) | −23.3361 | − | 22.9845i | −0.867877 | − | 0.854802i | ||||
\(724\) | −12.8737 | + | 1.35308i | −0.478448 | + | 0.0502869i | ||||
\(725\) | 22.7911 | − | 15.5701i | 0.846441 | − | 0.578260i | ||||
\(726\) | 16.5171 | − | 2.74472i | 0.613007 | − | 0.101866i | ||||
\(727\) | −15.7923 | − | 1.65984i | −0.585704 | − | 0.0615599i | −0.192958 | − | 0.981207i | \(-0.561808\pi\) |
−0.392746 | + | 0.919647i | \(0.628475\pi\) | |||||||
\(728\) | 19.8226 | + | 6.44076i | 0.734676 | + | 0.238711i | ||||
\(729\) | 14.8593 | − | 22.5433i | 0.550346 | − | 0.834937i | ||||
\(730\) | −5.42219 | + | 23.8077i | −0.200684 | + | 0.881163i | ||||
\(731\) | −3.72410 | + | 3.35320i | −0.137741 | + | 0.124023i | ||||
\(732\) | 10.8322 | − | 2.99078i | 0.400370 | − | 0.110542i | ||||
\(733\) | 4.78548 | − | 0.502975i | 0.176756 | − | 0.0185778i | −0.0157370 | − | 0.999876i | \(-0.505009\pi\) |
0.192493 | + | 0.981298i | \(0.438343\pi\) | |||||||
\(734\) | 35.3258 | + | 7.50872i | 1.30390 | + | 0.277152i | ||||
\(735\) | −4.06111 | + | 14.7485i | −0.149796 | + | 0.544005i | ||||
\(736\) | 3.96193 | − | 5.45313i | 0.146039 | − | 0.201005i | ||||
\(737\) | 1.87618 | − | 4.21397i | 0.0691100 | − | 0.155223i | ||||
\(738\) | −1.66634 | − | 1.17243i | −0.0613386 | − | 0.0431579i | ||||
\(739\) | 12.6219 | + | 7.28726i | 0.464304 | + | 0.268066i | 0.713852 | − | 0.700296i | \(-0.246949\pi\) |
−0.249548 | + | 0.968362i | \(0.580282\pi\) | |||||||
\(740\) | 0.0943234 | − | 0.0526503i | 0.00346740 | − | 0.00193546i | ||||
\(741\) | −16.1636 | + | 43.0820i | −0.593783 | + | 1.58266i | ||||
\(742\) | −9.63990 | − | 29.6686i | −0.353892 | − | 1.08917i | ||||
\(743\) | − | 36.6545i | − | 1.34472i | −0.740223 | − | 0.672362i | \(-0.765280\pi\) | ||
0.740223 | − | 0.672362i | \(-0.234720\pi\) | |||||||
\(744\) | 5.66030 | − | 7.80775i | 0.207517 | − | 0.286246i | ||||
\(745\) | −1.44828 | + | 12.0914i | −0.0530609 | + | 0.442994i | ||||
\(746\) | −22.3350 | + | 7.25709i | −0.817743 | + | 0.265701i | ||||
\(747\) | −12.0093 | + | 9.00697i | −0.439399 | + | 0.329548i | ||||
\(748\) | 2.10843 | + | 2.90200i | 0.0770917 | + | 0.106108i | ||||
\(749\) | 13.6506 | + | 7.88118i | 0.498782 | + | 0.287972i | ||||
\(750\) | 17.8181 | + | 7.58383i | 0.650626 | + | 0.276922i | ||||
\(751\) | −40.5867 | − | 18.0704i | −1.48103 | − | 0.659397i | −0.502328 | − | 0.864677i | \(-0.667523\pi\) |
−0.978703 | + | 0.205280i | \(0.934190\pi\) | |||||||
\(752\) | 8.31164 | + | 6.03876i | 0.303094 | + | 0.220211i | ||||
\(753\) | 2.50336 | − | 16.6212i | 0.0912277 | − | 0.605708i | ||||
\(754\) | 34.0115 | + | 7.22937i | 1.23863 | + | 0.263278i | ||||
\(755\) | −33.3506 | − | 0.483286i | −1.21375 | − | 0.0175886i | ||||
\(756\) | 11.1222 | + | 13.1126i | 0.404509 | + | 0.476902i | ||||
\(757\) | −32.2245 | − | 35.7889i | −1.17122 | − | 1.30077i | −0.945141 | − | 0.326662i | \(-0.894076\pi\) |
−0.226078 | − | 0.974109i | \(-0.572591\pi\) | |||||||
\(758\) | 3.71803 | − | 35.3747i | 0.135045 | − | 1.28487i | ||||
\(759\) | −10.4110 | + | 8.56227i | −0.377894 | + | 0.310791i | ||||
\(760\) | −3.96044 | + | 8.55931i | −0.143660 | + | 0.310479i | ||||
\(761\) | −4.33291 | + | 41.2249i | −0.157068 | + | 1.49440i | 0.577793 | + | 0.816184i | \(0.303914\pi\) |
−0.734861 | + | 0.678218i | \(0.762752\pi\) | |||||||
\(762\) | −0.541735 | + | 0.0900224i | −0.0196250 | + | 0.00326117i | ||||
\(763\) | 17.0922 | + | 15.3899i | 0.618781 | + | 0.557153i | ||||
\(764\) | 12.2799 | − | 1.29066i | 0.444270 | − | 0.0466946i | ||||
\(765\) | 20.7252 | − | 2.19277i | 0.749323 | − | 0.0792798i | ||||
\(766\) | −7.70981 | − | 17.3165i | −0.278567 | − | 0.625672i | ||||
\(767\) | −23.6432 | + | 32.5421i | −0.853707 | + | 1.17503i | ||||
\(768\) | 1.44542 | − | 0.954341i | 0.0521570 | − | 0.0344368i | ||||
\(769\) | −4.26448 | − | 7.38630i | −0.153781 | − | 0.266357i | 0.778833 | − | 0.627231i | \(-0.215812\pi\) |
−0.932615 | + | 0.360874i | \(0.882478\pi\) | |||||||
\(770\) | −6.83804 | − | 5.12114i | −0.246426 | − | 0.184553i | ||||
\(771\) | −0.627359 | − | 10.4522i | −0.0225938 | − | 0.376426i | ||||
\(772\) | −4.88272 | − | 22.9714i | −0.175733 | − | 0.826758i | ||||
\(773\) | 34.9241 | − | 11.3475i | 1.25613 | − | 0.408142i | 0.396017 | − | 0.918243i | \(-0.370392\pi\) |
0.860114 | + | 0.510102i | \(0.170392\pi\) | |||||||
\(774\) | −2.03509 | − | 4.39030i | −0.0731498 | − | 0.157806i | ||||
\(775\) | 16.7399 | + | 22.2436i | 0.601315 | + | 0.799012i | ||||
\(776\) | − | 17.4107i | − | 0.625006i | ||||||
\(777\) | −0.0696303 | + | 0.267983i | −0.00249797 | + | 0.00961385i | ||||
\(778\) | 6.30933 | − | 1.34109i | 0.226200 | − | 0.0480804i | ||||
\(779\) | 1.68371 | + | 2.31743i | 0.0603253 | + | 0.0830307i | ||||
\(780\) | 8.58498 | + | 22.8343i | 0.307392 | + | 0.817601i | ||||
\(781\) | −7.66900 | + | 4.42770i | −0.274418 | + | 0.158435i | ||||
\(782\) | 19.1306 | + | 8.51750i | 0.684110 | + | 0.304585i | ||||
\(783\) | 20.7397 | + | 19.8161i | 0.741177 | + | 0.708169i | ||||
\(784\) | −3.60829 | + | 1.60651i | −0.128867 | + | 0.0573755i | ||||
\(785\) | −7.67971 | + | 22.5201i | −0.274101 | + | 0.803776i | ||||
\(786\) | 17.4061 | − | 34.8122i | 0.620856 | − | 1.24171i | ||||
\(787\) | −13.1787 | + | 14.6365i | −0.469772 | + | 0.521734i | −0.930740 | − | 0.365683i | \(-0.880836\pi\) |
0.460968 | + | 0.887417i | \(0.347502\pi\) | |||||||
\(788\) | 4.59268 | − | 4.13527i | 0.163607 | − | 0.147313i | ||||
\(789\) | 11.2736 | − | 14.1399i | 0.401351 | − | 0.503392i | ||||
\(790\) | 21.5077 | + | 9.95174i | 0.765211 | + | 0.354067i | ||||
\(791\) | 3.55341 | + | 1.15457i | 0.126345 | + | 0.0410519i | ||||
\(792\) | −3.27762 | + | 1.12025i | −0.116465 | + | 0.0398063i | ||||
\(793\) | −30.3693 | + | 27.3447i | −1.07845 | + | 0.971037i | ||||
\(794\) | −24.7358 | − | 22.2723i | −0.877842 | − | 0.790413i | ||||
\(795\) | 20.0966 | − | 30.4834i | 0.712752 | − | 1.08114i | ||||
\(796\) | −3.21017 | + | 15.1026i | −0.113781 | + | 0.535299i | ||||
\(797\) | −13.4552 | − | 30.2209i | −0.476607 | − | 1.07048i | −0.978631 | − | 0.205624i | \(-0.934078\pi\) |
0.502024 | − | 0.864854i | \(-0.332589\pi\) | |||||||
\(798\) | −8.83412 | − | 22.5017i | −0.312725 | − | 0.796551i | ||||
\(799\) | −12.9823 | + | 29.1588i | −0.459282 | + | 1.03156i | ||||
\(800\) | 1.40665 | + | 4.79806i | 0.0497325 | + | 0.169637i | ||||
\(801\) | −36.2527 | − | 3.25476i | −1.28093 | − | 0.115001i | ||||
\(802\) | −27.5418 | + | 20.0103i | −0.972534 | + | 0.706587i | ||||
\(803\) | 12.3324 | − | 2.62133i | 0.435200 | − | 0.0925047i | ||||
\(804\) | 1.74019 | − | 6.69740i | 0.0613717 | − | 0.236199i | ||||
\(805\) | −49.5202 | − | 5.93142i | −1.74536 | − | 0.209055i | ||||
\(806\) | −5.71299 | + | 34.6014i | −0.201231 | + | 1.21878i | ||||
\(807\) | 17.2004 | − | 26.9316i | 0.605483 | − | 0.948038i | ||||
\(808\) | −11.0235 | + | 3.58175i | −0.387805 | + | 0.126005i | ||||
\(809\) | 15.5358 | − | 3.30224i | 0.546210 | − | 0.116101i | 0.0734618 | − | 0.997298i | \(-0.476595\pi\) |
0.472748 | + | 0.881197i | \(0.343262\pi\) | |||||||
\(810\) | −3.87123 | + | 19.7488i | −0.136021 | + | 0.693901i | ||||
\(811\) | 6.31085 | − | 10.9307i | 0.221604 | − | 0.383829i | −0.733691 | − | 0.679483i | \(-0.762204\pi\) |
0.955295 | + | 0.295654i | \(0.0955375\pi\) | |||||||
\(812\) | −15.8198 | + | 9.13358i | −0.555167 | + | 0.320526i | ||||
\(813\) | 11.8873 | + | 18.0042i | 0.416906 | + | 0.631434i | ||||
\(814\) | −0.0451251 | − | 0.0327853i | −0.00158163 | − | 0.00114912i | ||||
\(815\) | −5.73195 | − | 18.5516i | −0.200781 | − | 0.649833i | ||||
\(816\) | 3.83378 | + | 3.77602i | 0.134209 | + | 0.132187i | ||||
\(817\) | 0.711136 | + | 6.76601i | 0.0248795 | + | 0.236713i | ||||
\(818\) | 6.60066 | + | 5.94326i | 0.230787 | + | 0.207801i | ||||
\(819\) | −57.5019 | − | 24.5625i | −2.00928 | − | 0.858284i | ||||
\(820\) | 1.48072 | + | 0.337233i | 0.0517091 | + | 0.0117767i | ||||
\(821\) | −0.107746 | + | 0.331609i | −0.00376037 | + | 0.0115732i | −0.952919 | − | 0.303225i | \(-0.901937\pi\) |
0.949159 | + | 0.314798i | \(0.101937\pi\) | |||||||
\(822\) | −12.4414 | + | 10.2321i | −0.433942 | + | 0.356887i | ||||
\(823\) | 3.33136 | − | 31.6957i | 0.116124 | − | 1.10484i | −0.768923 | − | 0.639342i | \(-0.779207\pi\) |
0.885047 | − | 0.465503i | \(-0.154126\pi\) | |||||||
\(824\) | 9.29540 | − | 8.36961i | 0.323821 | − | 0.291569i | ||||
\(825\) | −0.309620 | − | 9.99428i | −0.0107796 | − | 0.347956i | ||||
\(826\) | −2.20888 | − | 21.0161i | −0.0768568 | − | 0.731244i | ||||
\(827\) | 7.49689 | − | 35.2701i | 0.260692 | − | 1.22646i | −0.631705 | − | 0.775209i | \(-0.717644\pi\) |
0.892397 | − | 0.451251i | \(-0.149022\pi\) | |||||||
\(828\) | −13.3010 | + | 15.2310i | −0.462243 | + | 0.529315i | ||||
\(829\) | 0.122303 | − | 0.168335i | 0.00424774 | − | 0.00584652i | −0.806888 | − | 0.590705i | \(-0.798850\pi\) |
0.811136 | + | 0.584858i | \(0.198850\pi\) | |||||||
\(830\) | 5.73433 | − | 9.60790i | 0.199042 | − | 0.333495i | ||||
\(831\) | −13.2162 | − | 0.592083i | −0.458466 | − | 0.0205391i | ||||
\(832\) | −3.14936 | + | 5.45486i | −0.109185 | + | 0.189113i | ||||
\(833\) | −7.21274 | − | 9.92749i | −0.249907 | − | 0.343967i | ||||
\(834\) | −5.97969 | − | 2.24346i | −0.207060 | − | 0.0776848i | ||||
\(835\) | −6.87960 | + | 1.35843i | −0.238078 | + | 0.0470103i | ||||
\(836\) | 4.86978 | 0.168425 | ||||||||
\(837\) | −19.0074 | + | 21.8110i | −0.656991 | + | 0.753898i | ||||
\(838\) | 14.6807i | 0.507138i | ||||||||
\(839\) | 31.8569 | − | 10.3509i | 1.09982 | − | 0.357354i | 0.297788 | − | 0.954632i | \(-0.403751\pi\) |
0.802034 | + | 0.597278i | \(0.203751\pi\) | |||||||
\(840\) | −11.3786 | − | 5.89693i | −0.392599 | − | 0.203464i | ||||
\(841\) | −1.19295 | + | 0.866728i | −0.0411362 | + | 0.0298872i | ||||
\(842\) | 13.4470 | − | 23.2908i | 0.463413 | − | 0.802655i | ||||
\(843\) | −1.85537 | + | 41.4148i | −0.0639024 | + | 1.42640i | ||||
\(844\) | 3.20695 | + | 1.42783i | 0.110388 | + | 0.0491479i | ||||
\(845\) | −43.7418 | − | 40.5482i | −1.50476 | − | 1.39490i | ||||
\(846\) | −23.2151 | − | 20.2734i | −0.798150 | − | 0.697013i | ||||
\(847\) | 6.65073 | − | 31.2892i | 0.228522 | − | 1.07511i | ||||
\(848\) | 9.37566 | − | 0.985422i | 0.321962 | − | 0.0338395i | ||||
\(849\) | 19.6461 | − | 5.42432i | 0.674253 | − | 0.186162i | ||||
\(850\) | −13.6722 | + | 7.37388i | −0.468951 | + | 0.252922i | ||||
\(851\) | −0.323843 | − | 0.0340372i | −0.0111012 | − | 0.00116678i | ||||
\(852\) | −10.2601 | + | 8.43822i | −0.351506 | + | 0.289088i | ||||
\(853\) | 28.9043 | + | 9.39156i | 0.989663 | + | 0.321561i | 0.758728 | − | 0.651408i | \(-0.225821\pi\) |
0.230935 | + | 0.972969i | \(0.425821\pi\) | |||||||
\(854\) | 2.24412 | − | 21.3514i | 0.0767922 | − | 0.730629i | ||||
\(855\) | 14.1298 | − | 24.5126i | 0.483230 | − | 0.838314i | ||||
\(856\) | −3.18735 | + | 3.53991i | −0.108941 | + | 0.120992i | ||||
\(857\) | −2.01370 | − | 19.1591i | −0.0687867 | − | 0.654462i | −0.973539 | − | 0.228523i | \(-0.926610\pi\) |
0.904752 | − | 0.425939i | \(-0.140056\pi\) | |||||||
\(858\) | 8.83906 | − | 8.97426i | 0.301760 | − | 0.306376i | ||||
\(859\) | −1.79311 | − | 4.02739i | −0.0611801 | − | 0.137413i | 0.880368 | − | 0.474291i | \(-0.157296\pi\) |
−0.941548 | + | 0.336878i | \(0.890629\pi\) | |||||||
\(860\) | 2.64513 | + | 2.45201i | 0.0901981 | + | 0.0836128i | ||||
\(861\) | −3.24837 | + | 2.14474i | −0.110704 | + | 0.0730927i | ||||
\(862\) | −13.6422 | + | 7.87633i | −0.464655 | + | 0.268269i | ||||
\(863\) | −37.4151 | − | 21.6016i | −1.27363 | − | 0.735328i | −0.297957 | − | 0.954579i | \(-0.596305\pi\) |
−0.975668 | + | 0.219251i | \(0.929639\pi\) | |||||||
\(864\) | −4.57490 | + | 2.46380i | −0.155641 | + | 0.0838203i | ||||
\(865\) | 35.6248 | − | 3.22317i | 1.21128 | − | 0.109591i | ||||
\(866\) | 4.72516 | + | 14.5425i | 0.160567 | + | 0.494176i | ||||
\(867\) | 6.85039 | − | 10.7260i | 0.232651 | − | 0.364275i | ||||
\(868\) | −9.93295 | − | 15.5171i | −0.337146 | − | 0.526683i | ||||
\(869\) | − | 12.2367i | − | 0.415102i | ||||||
\(870\) | −19.9069 | − | 7.79957i | −0.674908 | − | 0.264430i | ||||
\(871\) | 5.23195 | + | 24.6144i | 0.177278 | + | 0.834027i | ||||
\(872\) | −5.62317 | + | 4.08547i | −0.190424 | + | 0.138351i | ||||
\(873\) | −4.67058 | + | 52.0227i | −0.158075 | + | 1.76070i | ||||
\(874\) | 24.6206 | − | 14.2147i | 0.832806 | − | 0.480821i | ||||
\(875\) | 25.9267 | − | 26.3918i | 0.876482 | − | 0.892206i | ||||
\(876\) | 17.6054 | − | 6.91186i | 0.594832 | − | 0.233530i | ||||
\(877\) | −6.10294 | − | 13.7074i | −0.206082 | − | 0.462867i | 0.780704 | − | 0.624902i | \(-0.214861\pi\) |
−0.986785 | + | 0.162035i | \(0.948194\pi\) | |||||||
\(878\) | −0.0464806 | − | 0.00987975i | −0.00156864 | − | 0.000333425i | ||||
\(879\) | 39.4867 | + | 19.7434i | 1.33185 | + | 0.665929i | ||||
\(880\) | 1.94344 | − | 1.69955i | 0.0655134 | − | 0.0572917i | ||||
\(881\) | −34.4498 | − | 38.2604i | −1.16064 | − | 1.28902i | −0.950279 | − | 0.311401i | \(-0.899202\pi\) |
−0.210364 | − | 0.977623i | \(-0.567465\pi\) | |||||||
\(882\) | 11.2125 | − | 3.83227i | 0.377543 | − | 0.129039i | ||||
\(883\) | −12.6252 | + | 38.8564i | −0.424873 | + | 1.30762i | 0.478244 | + | 0.878227i | \(0.341274\pi\) |
−0.903116 | + | 0.429396i | \(0.858726\pi\) | |||||||
\(884\) | −18.6110 | − | 6.04708i | −0.625955 | − | 0.203385i | ||||
\(885\) | 17.6093 | − | 17.3680i | 0.591930 | − | 0.583817i | ||||
\(886\) | −16.2255 | − | 18.0202i | −0.545106 | − | 0.605402i | ||||
\(887\) | −5.98942 | + | 6.65193i | −0.201105 | + | 0.223350i | −0.835259 | − | 0.549857i | \(-0.814682\pi\) |
0.634153 | + | 0.773207i | \(0.281349\pi\) | |||||||
\(888\) | −0.0748405 | − | 0.0374204i | −0.00251148 | − | 0.00125574i | ||||
\(889\) | −0.218133 | + | 1.02624i | −0.00731596 | + | 0.0344189i | ||||
\(890\) | 25.9208 | − | 8.00885i | 0.868867 | − | 0.268457i | ||||
\(891\) | 10.0940 | − | 2.46803i | 0.338162 | − | 0.0826820i | ||||
\(892\) | −13.6017 | − | 6.05588i | −0.455420 | − | 0.202766i | ||||
\(893\) | 21.6660 | + | 37.5266i | 0.725026 | + | 1.25578i | ||||
\(894\) | 8.37203 | − | 4.34612i | 0.280003 | − | 0.145356i | ||||
\(895\) | 6.33943 | − | 3.53860i | 0.211904 | − | 0.118282i | ||||
\(896\) | −0.687989 | − | 3.23673i | −0.0229841 | − | 0.108132i | ||||
\(897\) | 18.4929 | − | 71.1730i | 0.617461 | − | 2.37640i | ||||
\(898\) | −17.9700 | −0.599667 | ||||||||
\(899\) | −19.1860 | − | 24.0127i | −0.639887 | − | 0.800869i | ||||
\(900\) | −2.91591 | − | 14.7139i | −0.0971969 | − | 0.490462i | ||||
\(901\) | 9.05067 | + | 27.8551i | 0.301521 | + | 0.927988i | ||||
\(902\) | −0.163034 | − | 0.767013i | −0.00542843 | − | 0.0255387i | ||||
\(903\) | −9.22826 | + | 0.553898i | −0.307097 | + | 0.0184326i | ||||
\(904\) | −0.564556 | + | 0.977840i | −0.0187769 | + | 0.0325225i | ||||
\(905\) | −26.6105 | + | 11.3886i | −0.884562 | + | 0.378572i | ||||
\(906\) | 14.2353 | + | 21.5604i | 0.472937 | + | 0.716297i | ||||
\(907\) | 30.6667 | − | 42.2091i | 1.01827 | − | 1.40153i | 0.104862 | − | 0.994487i | \(-0.466560\pi\) |
0.913409 | − | 0.407043i | \(-0.133440\pi\) | |||||||
\(908\) | −20.7632 | + | 9.24439i | −0.689052 | + | 0.306786i | ||||
\(909\) | 33.8988 | − | 7.74503i | 1.12435 | − | 0.256887i | ||||
\(910\) | 46.6009 | + | 0.675299i | 1.54481 | + | 0.0223859i | ||||
\(911\) | 1.82670 | − | 2.02875i | 0.0605211 | − | 0.0672155i | −0.712124 | − | 0.702054i | \(-0.752267\pi\) |
0.772645 | + | 0.634838i | \(0.218933\pi\) | |||||||
\(912\) | 7.20652 | − | 1.19754i | 0.238632 | − | 0.0396545i | ||||
\(913\) | −5.74580 | − | 0.603908i | −0.190158 | − | 0.0199864i | ||||
\(914\) | 10.7732 | − | 33.1565i | 0.356346 | − | 1.09672i | ||||
\(915\) | 21.1679 | − | 13.5398i | 0.699789 | − | 0.447614i | ||||
\(916\) | −3.08296 | − | 0.324033i | −0.101864 | − | 0.0107063i | ||||
\(917\) | −49.7553 | − | 55.2588i | −1.64306 | − | 1.82481i | ||||
\(918\) | −10.4423 | − | 12.3111i | −0.344648 | − | 0.406328i | ||||
\(919\) | −0.941849 | − | 8.96110i | −0.0310687 | − | 0.295599i | −0.999012 | − | 0.0444319i | \(-0.985852\pi\) |
0.967944 | − | 0.251167i | \(-0.0808145\pi\) | |||||||
\(920\) | 4.86474 | − | 14.2654i | 0.160386 | − | 0.470317i | ||||
\(921\) | 51.5278 | + | 7.76076i | 1.69790 | + | 0.255726i | ||||
\(922\) | 13.4885 | + | 9.79998i | 0.444221 | + | 0.322745i | ||||
\(923\) | 19.6492 | − | 44.1328i | 0.646761 | − | 1.45265i | ||||
\(924\) | −0.296164 | + | 6.61084i | −0.00974308 | + | 0.217481i | ||||
\(925\) | 0.166760 | − | 0.174746i | 0.00548303 | − | 0.00574560i | ||||
\(926\) | 5.61621 | − | 4.08042i | 0.184560 | − | 0.134091i | ||||
\(927\) | −30.0197 | + | 22.5147i | −0.985977 | + | 0.739479i | ||||
\(928\) | −1.70589 | − | 5.25019i | −0.0559986 | − | 0.172346i | ||||
\(929\) | −48.2224 | −1.58213 | −0.791063 | − | 0.611735i | \(-0.790472\pi\) | ||||
−0.791063 | + | 0.611735i | \(0.790472\pi\) | |||||||
\(930\) | 6.93888 | − | 20.4170i | 0.227535 | − | 0.669498i | ||||
\(931\) | −16.6591 | −0.545980 | ||||||||
\(932\) | 4.00533 | + | 12.3271i | 0.131199 | + | 0.403789i | ||||
\(933\) | 22.6555 | + | 8.49990i | 0.741707 | + | 0.278274i | ||||
\(934\) | 27.5825 | − | 20.0399i | 0.902528 | − | 0.655725i | ||||
\(935\) | 6.42007 | + | 4.80811i | 0.209959 | + | 0.157242i | ||||
\(936\) | 10.8736 | − | 15.4542i | 0.355413 | − | 0.505135i | ||||
\(937\) | −3.83731 | + | 8.61873i | −0.125359 | + | 0.281562i | −0.965313 | − | 0.261097i | \(-0.915916\pi\) |
0.839953 | + | 0.542659i | \(0.182582\pi\) | |||||||
\(938\) | −10.6953 | − | 7.77057i | −0.349213 | − | 0.253718i | ||||
\(939\) | −2.99439 | + | 19.8813i | −0.0977181 | + | 0.648802i | ||||
\(940\) | 21.7433 | + | 7.41481i | 0.709187 | + | 0.241845i | ||||
\(941\) | 2.29808 | + | 21.8648i | 0.0749154 | + | 0.712772i | 0.965931 | + | 0.258800i | \(0.0833269\pi\) |
−0.891016 | + | 0.453973i | \(0.850006\pi\) | |||||||
\(942\) | 17.7657 | − | 4.90511i | 0.578836 | − | 0.159817i | ||||
\(943\) | −3.06315 | − | 3.40198i | −0.0997500 | − | 0.110784i | ||||
\(944\) | 6.35111 | + | 0.667529i | 0.206711 | + | 0.0217262i | ||||
\(945\) | 32.4172 | + | 20.6724i | 1.05453 | + | 0.672472i | ||||
\(946\) | 0.575505 | − | 1.77122i | 0.0187113 | − | 0.0575874i | ||||
\(947\) | 54.8232 | + | 5.76215i | 1.78151 | + | 0.187245i | 0.937244 | − | 0.348673i | \(-0.113368\pi\) |
0.844270 | + | 0.535918i | \(0.180034\pi\) | |||||||
\(948\) | −3.00916 | − | 18.1085i | −0.0977331 | − | 0.588136i | ||||
\(949\) | −46.0233 | + | 51.1140i | −1.49398 | + | 1.65923i | ||||
\(950\) | −2.81117 | + | 20.9005i | −0.0912063 | + | 0.678102i | ||||
\(951\) | 3.30553 | − | 3.35609i | 0.107189 | − | 0.108829i | ||||
\(952\) | 9.39168 | − | 4.18144i | 0.304386 | − | 0.135521i | ||||
\(953\) | −7.05987 | + | 9.71708i | −0.228692 | + | 0.314767i | −0.907907 | − | 0.419172i | \(-0.862320\pi\) |
0.679215 | + | 0.733939i | \(0.262320\pi\) | |||||||
\(954\) | −28.2787 | + | 0.429307i | −0.915556 | + | 0.0138993i | ||||
\(955\) | 25.3829 | − | 10.8633i | 0.821372 | − | 0.351528i | ||||
\(956\) | −6.92763 | + | 11.9990i | −0.224055 | + | 0.388075i | ||||
\(957\) | 0.661435 | + | 11.0199i | 0.0213812 | + | 0.356223i | ||||
\(958\) | −1.64066 | − | 7.71868i | −0.0530072 | − | 0.249379i | ||||
\(959\) | 9.50997 | + | 29.2687i | 0.307093 | + | 0.945135i | ||||
\(960\) | 2.45806 | − | 2.99298i | 0.0793335 | − | 0.0965981i | ||||
\(961\) | 23.3074 | − | 20.4394i | 0.751850 | − | 0.659334i | ||||
\(962\) | 0.304287 | 0.00981062 | ||||||||
\(963\) | 10.4734 | − | 9.72215i | 0.337499 | − | 0.313292i | ||||
\(964\) | −3.93178 | − | 18.4976i | −0.126634 | − | 0.595767i | ||||
\(965\) | −25.5948 | − | 45.8534i | −0.823927 | − | 1.47607i | ||||
\(966\) | 17.7995 | + | 34.2876i | 0.572689 | + | 1.10319i | ||||
\(967\) | −21.6563 | − | 37.5098i | −0.696420 | − | 1.20623i | −0.969700 | − | 0.244300i | \(-0.921442\pi\) |
0.273280 | − | 0.961934i | \(-0.411891\pi\) | |||||||
\(968\) | 8.83117 | + | 3.93189i | 0.283844 | + | 0.126376i | ||||
\(969\) | 8.29415 | + | 21.1263i | 0.266446 | + | 0.678674i | ||||
\(970\) | −11.4927 | − | 37.1964i | −0.369009 | − | 1.19430i | ||||
\(971\) | −2.19074 | + | 10.3066i | −0.0703043 | + | 0.330756i | −0.999218 | − | 0.0395406i | \(-0.987411\pi\) |
0.928914 | + | 0.370296i | \(0.120744\pi\) | |||||||
\(972\) | 14.3306 | − | 6.13454i | 0.459656 | − | 0.196766i | ||||
\(973\) | −8.16448 | + | 9.06758i | −0.261741 | + | 0.290693i | ||||
\(974\) | 4.40544 | + | 4.89273i | 0.141159 | + | 0.156773i | ||||
\(975\) | 33.4140 | + | 43.1167i | 1.07010 | + | 1.38084i | ||||
\(976\) | 6.17043 | + | 2.00489i | 0.197511 | + | 0.0641751i | ||||
\(977\) | 4.28609 | − | 13.1912i | 0.137124 | − | 0.422025i | −0.858790 | − | 0.512327i | \(-0.828783\pi\) |
0.995914 | + | 0.0903026i | \(0.0287834\pi\) | |||||||
\(978\) | −9.37616 | + | 11.7600i | −0.299816 | + | 0.376043i | ||||
\(979\) | −9.37352 | − | 10.4103i | −0.299579 | − | 0.332716i | ||||
\(980\) | −6.64835 | + | 5.81400i | −0.212374 | + | 0.185721i | ||||
\(981\) | 17.8979 | − | 10.6988i | 0.571436 | − | 0.341588i | ||||
\(982\) | −28.7332 | − | 6.10743i | −0.916913 | − | 0.194896i | ||||
\(983\) | −5.89934 | − | 13.2501i | −0.188160 | − | 0.422613i | 0.794692 | − | 0.607013i | \(-0.207633\pi\) |
−0.982851 | + | 0.184400i | \(0.940966\pi\) | |||||||
\(984\) | −0.429883 | − | 1.09497i | −0.0137042 | − | 0.0349064i | ||||
\(985\) | 7.08219 | − | 11.8663i | 0.225657 | − | 0.378090i | ||||
\(986\) | 14.8529 | − | 8.57530i | 0.473011 | − | 0.273093i | ||||
\(987\) | −52.2610 | + | 27.1299i | −1.66348 | + | 0.863554i | ||||
\(988\) | −21.4927 | + | 15.6153i | −0.683773 | + | 0.496790i | ||||
\(989\) | −2.26050 | − | 10.6348i | −0.0718798 | − | 0.338168i | ||||
\(990\) | −6.26289 | + | 4.55686i | −0.199048 | + | 0.144827i | ||||
\(991\) | 8.41958i | 0.267457i | 0.991018 | + | 0.133728i | \(0.0426950\pi\) | ||||
−0.991018 | + | 0.133728i | \(0.957305\pi\) | |||||||
\(992\) | 5.21092 | − | 1.96120i | 0.165447 | − | 0.0622683i | ||||
\(993\) | 39.4444 | + | 25.1919i | 1.25173 | + | 0.799442i | ||||
\(994\) | 7.84266 | + | 24.1372i | 0.248754 | + | 0.765587i | ||||
\(995\) | 3.11095 | + | 34.3845i | 0.0986239 | + | 1.09006i | ||||
\(996\) | −8.65141 | + | 0.519274i | −0.274131 | + | 0.0164538i | ||||
\(997\) | −14.6844 | − | 8.47805i | −0.465060 | − | 0.268502i | 0.249110 | − | 0.968475i | \(-0.419862\pi\) |
−0.714169 | + | 0.699973i | \(0.753195\pi\) | |||||||
\(998\) | −13.8980 | + | 8.02400i | −0.439933 | + | 0.253995i | ||||
\(999\) | 0.213584 | + | 0.131888i | 0.00675749 | + | 0.00417275i |
(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 | 930.2.bo.b.179.13 | yes | 256 | |
3.2 | odd | 2 | 930.2.bo.a.179.9 | ✓ | 256 | ||
5.4 | even | 2 | 930.2.bo.a.179.20 | yes | 256 | ||
15.14 | odd | 2 | inner | 930.2.bo.b.179.24 | yes | 256 | |
31.22 | odd | 30 | inner | 930.2.bo.b.239.24 | yes | 256 | |
93.53 | even | 30 | 930.2.bo.a.239.20 | yes | 256 | ||
155.84 | odd | 30 | 930.2.bo.a.239.9 | yes | 256 | ||
465.239 | even | 30 | inner | 930.2.bo.b.239.13 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bo.a.179.9 | ✓ | 256 | 3.2 | odd | 2 | ||
930.2.bo.a.179.20 | yes | 256 | 5.4 | even | 2 | ||
930.2.bo.a.239.9 | yes | 256 | 155.84 | odd | 30 | ||
930.2.bo.a.239.20 | yes | 256 | 93.53 | even | 30 | ||
930.2.bo.b.179.13 | yes | 256 | 1.1 | even | 1 | trivial | |
930.2.bo.b.179.24 | yes | 256 | 15.14 | odd | 2 | inner | |
930.2.bo.b.239.13 | yes | 256 | 465.239 | even | 30 | inner | |
930.2.bo.b.239.24 | yes | 256 | 31.22 | odd | 30 | inner |