Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(6,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 70]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.bc (of order \(45\), degree \(24\), 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: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(1152\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 111.4 | ||
Character | \(\chi\) | \(=\) | 475.111 |
Dual form | 475.2.bc.a.291.4 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.46168 | − | 0.172137i | −1.74067 | − | 0.121719i | −0.836245 | − | 0.548356i | \(-0.815254\pi\) |
−0.904423 | + | 0.426636i | \(0.859698\pi\) | |||||||
\(3\) | −0.0802746 | − | 2.29876i | −0.0463466 | − | 1.32719i | −0.770450 | − | 0.637500i | \(-0.779968\pi\) |
0.724103 | − | 0.689691i | \(-0.242254\pi\) | |||||||
\(4\) | 4.04969 | + | 0.569146i | 2.02484 | + | 0.284573i | ||||
\(5\) | 1.58431 | + | 1.57796i | 0.708524 | + | 0.705687i | ||||
\(6\) | −0.198093 | + | 5.67263i | −0.0808710 | + | 2.31584i | ||||
\(7\) | −0.754362 | − | 1.30659i | −0.285122 | − | 0.493846i | 0.687517 | − | 0.726169i | \(-0.258701\pi\) |
−0.972639 | + | 0.232323i | \(0.925367\pi\) | |||||||
\(8\) | −5.04352 | − | 1.07203i | −1.78316 | − | 0.379021i | ||||
\(9\) | −2.28518 | + | 0.159795i | −0.761726 | + | 0.0532651i | ||||
\(10\) | −3.62843 | − | 4.15715i | −1.14741 | − | 1.31461i | ||||
\(11\) | 0.143096 | + | 1.36147i | 0.0431452 | + | 0.410499i | 0.994684 | + | 0.102971i | \(0.0328350\pi\) |
−0.951539 | + | 0.307528i | \(0.900498\pi\) | |||||||
\(12\) | 0.983246 | − | 9.35496i | 0.283839 | − | 2.70054i | ||||
\(13\) | −0.976423 | − | 1.44761i | −0.270811 | − | 0.401494i | 0.668960 | − | 0.743298i | \(-0.266740\pi\) |
−0.939771 | + | 0.341805i | \(0.888962\pi\) | |||||||
\(14\) | 1.63208 | + | 3.34626i | 0.436192 | + | 0.894327i | ||||
\(15\) | 3.50018 | − | 3.76862i | 0.903744 | − | 0.973054i | ||||
\(16\) | 4.36886 | + | 1.25275i | 1.09221 | + | 0.313188i | ||||
\(17\) | 1.57491 | − | 3.89805i | 0.381972 | − | 0.945415i | −0.606646 | − | 0.794972i | \(-0.707486\pi\) |
0.988619 | − | 0.150443i | \(-0.0480700\pi\) | |||||||
\(18\) | 5.65288 | 1.33240 | ||||||||
\(19\) | 3.54066 | − | 2.54238i | 0.812284 | − | 0.583262i | ||||
\(20\) | 5.51786 | + | 7.29196i | 1.23383 | + | 1.63053i | ||||
\(21\) | −2.94299 | + | 1.83899i | −0.642214 | + | 0.401300i | ||||
\(22\) | −0.117897 | − | 3.37614i | −0.0251358 | − | 0.719795i | ||||
\(23\) | 4.81938 | + | 4.65402i | 1.00491 | + | 0.970431i | 0.999563 | − | 0.0295546i | \(-0.00940888\pi\) |
0.00534769 | + | 0.999986i | \(0.498298\pi\) | |||||||
\(24\) | −2.05949 | + | 11.6799i | −0.420391 | + | 2.38416i | ||||
\(25\) | 0.0200652 | + | 4.99996i | 0.00401304 | + | 0.999992i | ||||
\(26\) | 2.15445 | + | 3.73162i | 0.422522 | + | 0.731830i | ||||
\(27\) | −0.170525 | − | 1.62244i | −0.0328176 | − | 0.312238i | ||||
\(28\) | −2.31129 | − | 5.72064i | −0.436792 | − | 1.08110i | ||||
\(29\) | −1.01677 | − | 2.51660i | −0.188810 | − | 0.467322i | 0.802853 | − | 0.596177i | \(-0.203314\pi\) |
−0.991663 | + | 0.128855i | \(0.958870\pi\) | |||||||
\(30\) | −9.26504 | + | 8.67461i | −1.69156 | + | 1.58376i | ||||
\(31\) | 4.17154 | − | 4.63297i | 0.749231 | − | 0.832106i | −0.241147 | − | 0.970489i | \(-0.577524\pi\) |
0.990379 | + | 0.138383i | \(0.0441904\pi\) | |||||||
\(32\) | −0.848591 | − | 0.308862i | −0.150011 | − | 0.0545996i | ||||
\(33\) | 3.11822 | − | 0.438237i | 0.542812 | − | 0.0762872i | ||||
\(34\) | −4.54793 | + | 9.32463i | −0.779963 | + | 1.59916i | ||||
\(35\) | 0.866614 | − | 3.26040i | 0.146484 | − | 0.551108i | ||||
\(36\) | −9.34520 | − | 0.653480i | −1.55753 | − | 0.108913i | ||||
\(37\) | −7.68150 | − | 5.58093i | −1.26283 | − | 0.917500i | −0.263937 | − | 0.964540i | \(-0.585021\pi\) |
−0.998893 | + | 0.0470400i | \(0.985021\pi\) | |||||||
\(38\) | −9.15361 | + | 5.64904i | −1.48491 | + | 0.916395i | ||||
\(39\) | −3.24932 | + | 2.36077i | −0.520308 | + | 0.378026i | ||||
\(40\) | −6.29887 | − | 9.65693i | −0.995938 | − | 1.52689i | ||||
\(41\) | −3.04928 | − | 0.874367i | −0.476217 | − | 0.136553i | 0.0289386 | − | 0.999581i | \(-0.490787\pi\) |
−0.505156 | + | 0.863028i | \(0.668565\pi\) | |||||||
\(42\) | 7.56126 | − | 4.02039i | 1.16673 | − | 0.620360i | ||||
\(43\) | 0.767542 | − | 4.35295i | 0.117049 | − | 0.663818i | −0.868666 | − | 0.495398i | \(-0.835022\pi\) |
0.985715 | − | 0.168420i | \(-0.0538666\pi\) | |||||||
\(44\) | −0.195381 | + | 5.59498i | −0.0294548 | + | 0.843475i | ||||
\(45\) | −3.87258 | − | 3.35276i | −0.577290 | − | 0.499800i | ||||
\(46\) | −11.0626 | − | 12.2863i | −1.63110 | − | 1.81152i | ||||
\(47\) | −0.790098 | − | 1.95556i | −0.115248 | − | 0.285248i | 0.858525 | − | 0.512772i | \(-0.171381\pi\) |
−0.973772 | + | 0.227524i | \(0.926937\pi\) | |||||||
\(48\) | 2.52907 | − | 10.1435i | 0.365040 | − | 1.46409i | ||||
\(49\) | 2.36188 | − | 4.09089i | 0.337411 | − | 0.584413i | ||||
\(50\) | 0.811285 | − | 12.3117i | 0.114733 | − | 1.74114i | ||||
\(51\) | −9.08711 | − | 3.30744i | −1.27245 | − | 0.463134i | ||||
\(52\) | −3.13031 | − | 6.41808i | −0.434095 | − | 0.890027i | ||||
\(53\) | 4.18885 | + | 0.588704i | 0.575382 | + | 0.0808647i | 0.420862 | − | 0.907125i | \(-0.361728\pi\) |
0.154521 | + | 0.987990i | \(0.450617\pi\) | |||||||
\(54\) | 0.140496 | + | 4.02327i | 0.0191190 | + | 0.547498i | ||||
\(55\) | −1.92164 | + | 2.38279i | −0.259114 | + | 0.321296i | ||||
\(56\) | 2.40393 | + | 7.39854i | 0.321239 | + | 0.988671i | ||||
\(57\) | −6.12856 | − | 7.93506i | −0.811747 | − | 1.05102i | ||||
\(58\) | 2.06977 | + | 6.37009i | 0.271774 | + | 0.836434i | ||||
\(59\) | 2.54981 | + | 10.2267i | 0.331957 | + | 1.33141i | 0.871891 | + | 0.489701i | \(0.162894\pi\) |
−0.539933 | + | 0.841708i | \(0.681551\pi\) | |||||||
\(60\) | 16.3195 | − | 13.2696i | 2.10684 | − | 1.71310i | ||||
\(61\) | −9.62674 | − | 9.29643i | −1.23258 | − | 1.19029i | −0.974555 | − | 0.224147i | \(-0.928040\pi\) |
−0.258022 | − | 0.966139i | \(-0.583071\pi\) | |||||||
\(62\) | −11.0665 | + | 10.6868i | −1.40545 | + | 1.35722i | ||||
\(63\) | 1.93264 | + | 2.86525i | 0.243490 | + | 0.360988i | ||||
\(64\) | −6.26819 | − | 2.79078i | −0.783524 | − | 0.348847i | ||||
\(65\) | 0.737314 | − | 3.83421i | 0.0914526 | − | 0.475576i | ||||
\(66\) | −7.75148 | + | 0.542036i | −0.954141 | + | 0.0667200i | ||||
\(67\) | 0.916156 | + | 0.572478i | 0.111926 | + | 0.0699393i | 0.584727 | − | 0.811230i | \(-0.301202\pi\) |
−0.472801 | + | 0.881169i | \(0.656757\pi\) | |||||||
\(68\) | 8.59646 | − | 14.8895i | 1.04247 | − | 1.80562i | ||||
\(69\) | 10.3116 | − | 11.4522i | 1.24137 | − | 1.37869i | ||||
\(70\) | −2.69456 | + | 7.87688i | −0.322062 | + | 0.941467i | ||||
\(71\) | 0.506972 | + | 0.269562i | 0.0601665 | + | 0.0319911i | 0.499282 | − | 0.866439i | \(-0.333597\pi\) |
−0.439116 | + | 0.898431i | \(0.644708\pi\) | |||||||
\(72\) | 11.6967 | + | 1.64386i | 1.37846 | + | 0.193730i | ||||
\(73\) | −4.39294 | + | 6.51280i | −0.514155 | + | 0.762266i | −0.993312 | − | 0.115464i | \(-0.963165\pi\) |
0.479157 | + | 0.877729i | \(0.340942\pi\) | |||||||
\(74\) | 17.9487 | + | 15.0607i | 2.08649 | + | 1.75077i | ||||
\(75\) | 11.4921 | − | 0.447495i | 1.32700 | − | 0.0516723i | ||||
\(76\) | 15.7856 | − | 8.28069i | 1.81073 | − | 0.949860i | ||||
\(77\) | 1.67094 | − | 1.21401i | 0.190422 | − | 0.138349i | ||||
\(78\) | 8.40516 | − | 5.25213i | 0.951697 | − | 0.594686i | ||||
\(79\) | −0.212377 | − | 6.08169i | −0.0238943 | − | 0.684244i | −0.950954 | − | 0.309331i | \(-0.899895\pi\) |
0.927060 | − | 0.374913i | \(-0.122327\pi\) | |||||||
\(80\) | 4.94483 | + | 8.87864i | 0.552848 | + | 0.992662i | ||||
\(81\) | −10.5213 | + | 1.47867i | −1.16903 | + | 0.164297i | ||||
\(82\) | 7.35583 | + | 2.67730i | 0.812316 | + | 0.295659i | ||||
\(83\) | 0.157896 | − | 0.175361i | 0.0173313 | − | 0.0192483i | −0.734417 | − | 0.678699i | \(-0.762544\pi\) |
0.751748 | + | 0.659450i | \(0.229211\pi\) | |||||||
\(84\) | −12.9649 | + | 5.77232i | −1.41458 | + | 0.629812i | ||||
\(85\) | 8.64612 | − | 3.69055i | 0.937803 | − | 0.400297i | ||||
\(86\) | −2.63874 | + | 10.5834i | −0.284543 | + | 1.14124i | ||||
\(87\) | −5.70346 | + | 2.53934i | −0.611475 | + | 0.272246i | ||||
\(88\) | 0.737834 | − | 7.02002i | 0.0786534 | − | 0.748337i | ||||
\(89\) | 3.38195 | − | 0.969758i | 0.358486 | − | 0.102794i | −0.0915601 | − | 0.995800i | \(-0.529185\pi\) |
0.450046 | + | 0.893005i | \(0.351408\pi\) | |||||||
\(90\) | 8.95590 | + | 8.92003i | 0.944035 | + | 0.940254i | ||||
\(91\) | −1.15486 | + | 2.36781i | −0.121062 | + | 0.248214i | ||||
\(92\) | 16.8682 | + | 21.5903i | 1.75863 | + | 2.25094i | ||||
\(93\) | −10.9850 | − | 9.21748i | −1.13909 | − | 0.955809i | ||||
\(94\) | 1.60834 | + | 4.94996i | 0.165888 | + | 0.510550i | ||||
\(95\) | 9.62129 | + | 1.55912i | 0.987123 | + | 0.159963i | ||||
\(96\) | −0.641880 | + | 1.97550i | −0.0655116 | + | 0.201624i | ||||
\(97\) | −13.4328 | + | 8.39375i | −1.36389 | + | 0.852256i | −0.996954 | − | 0.0779889i | \(-0.975150\pi\) |
−0.366940 | + | 0.930245i | \(0.619595\pi\) | |||||||
\(98\) | −6.51837 | + | 9.66388i | −0.658455 | + | 0.976200i | ||||
\(99\) | −0.544558 | − | 3.08834i | −0.0547301 | − | 0.310390i | ||||
\(100\) | −2.76445 | + | 20.2597i | −0.276445 | + | 2.02597i | ||||
\(101\) | 8.77449 | + | 3.19365i | 0.873095 | + | 0.317781i | 0.739420 | − | 0.673245i | \(-0.235100\pi\) |
0.133675 | + | 0.991025i | \(0.457322\pi\) | |||||||
\(102\) | 21.8002 | + | 9.70608i | 2.15854 | + | 0.961045i | ||||
\(103\) | 9.63610 | + | 10.7020i | 0.949473 | + | 1.05450i | 0.998448 | + | 0.0556968i | \(0.0177380\pi\) |
−0.0489745 | + | 0.998800i | \(0.515595\pi\) | |||||||
\(104\) | 3.37273 | + | 8.34779i | 0.330723 | + | 0.818569i | ||||
\(105\) | −7.56446 | − | 1.73041i | −0.738216 | − | 0.168871i | ||||
\(106\) | −10.2102 | − | 2.17026i | −0.991707 | − | 0.210794i | ||||
\(107\) | −3.60221 | − | 6.23921i | −0.348239 | − | 0.603167i | 0.637698 | − | 0.770287i | \(-0.279887\pi\) |
−0.985937 | + | 0.167119i | \(0.946553\pi\) | |||||||
\(108\) | 0.232831 | − | 6.66742i | 0.0224042 | − | 0.641572i | ||||
\(109\) | −0.628813 | + | 0.607237i | −0.0602293 | + | 0.0581628i | −0.724164 | − | 0.689628i | \(-0.757774\pi\) |
0.663935 | + | 0.747791i | \(0.268885\pi\) | |||||||
\(110\) | 5.14063 | − | 5.53488i | 0.490140 | − | 0.527730i | ||||
\(111\) | −12.2126 | + | 18.1060i | −1.15917 | + | 1.71854i | ||||
\(112\) | −1.65887 | − | 6.65335i | −0.156748 | − | 0.628682i | ||||
\(113\) | −14.9251 | − | 10.8437i | −1.40404 | − | 1.02009i | −0.994156 | − | 0.107952i | \(-0.965571\pi\) |
−0.409880 | − | 0.912139i | \(-0.634429\pi\) | |||||||
\(114\) | 13.7206 | + | 20.5885i | 1.28505 | + | 1.92829i | ||||
\(115\) | 0.291510 | + | 14.9782i | 0.0271835 | + | 1.39673i | ||||
\(116\) | −2.68530 | − | 10.7702i | −0.249324 | − | 0.999984i | ||||
\(117\) | 2.46262 | + | 3.15201i | 0.227669 | + | 0.291403i | ||||
\(118\) | −4.51641 | − | 25.6139i | −0.415770 | − | 2.35795i | ||||
\(119\) | −6.28121 | + | 0.882767i | −0.575798 | + | 0.0809231i | ||||
\(120\) | −21.6934 | + | 15.2548i | −1.98032 | + | 1.39257i | ||||
\(121\) | 8.92649 | − | 1.89738i | 0.811499 | − | 0.172490i | ||||
\(122\) | 22.0977 | + | 24.5419i | 2.00063 | + | 2.22192i | ||||
\(123\) | −1.76518 | + | 7.07976i | −0.159161 | + | 0.638361i | ||||
\(124\) | 19.5303 | − | 16.3879i | 1.75387 | − | 1.47167i | ||||
\(125\) | −7.85796 | + | 7.95314i | −0.702838 | + | 0.711350i | ||||
\(126\) | −4.26431 | − | 7.38601i | −0.379895 | − | 0.657998i | ||||
\(127\) | 9.69919 | − | 2.78120i | 0.860664 | − | 0.246791i | 0.183858 | − | 0.982953i | \(-0.441141\pi\) |
0.676806 | + | 0.736161i | \(0.263364\pi\) | |||||||
\(128\) | 16.5446 | + | 8.79690i | 1.46235 | + | 0.777544i | ||||
\(129\) | −10.0680 | − | 1.41497i | −0.886439 | − | 0.124581i | ||||
\(130\) | −2.47504 | + | 9.31168i | −0.217075 | + | 0.816688i | ||||
\(131\) | −1.67388 | + | 4.14301i | −0.146248 | + | 0.361976i | −0.982472 | − | 0.186412i | \(-0.940314\pi\) |
0.836224 | + | 0.548388i | \(0.184758\pi\) | |||||||
\(132\) | 12.8772 | 1.12082 | ||||||||
\(133\) | −5.99280 | − | 2.70833i | −0.519642 | − | 0.234842i | ||||
\(134\) | −2.15673 | − | 1.56696i | −0.186313 | − | 0.135365i | ||||
\(135\) | 2.28998 | − | 2.83952i | 0.197090 | − | 0.244387i | ||||
\(136\) | −12.1219 | + | 17.9715i | −1.03945 | + | 1.54105i | ||||
\(137\) | −0.473074 | + | 0.969945i | −0.0404174 | + | 0.0828680i | −0.918047 | − | 0.396471i | \(-0.870235\pi\) |
0.877630 | + | 0.479339i | \(0.159124\pi\) | |||||||
\(138\) | −27.3553 | + | 26.4167i | −2.32863 | + | 2.24874i | ||||
\(139\) | 13.7469 | − | 3.94186i | 1.16600 | − | 0.334345i | 0.363843 | − | 0.931460i | \(-0.381465\pi\) |
0.802155 | + | 0.597116i | \(0.203687\pi\) | |||||||
\(140\) | 5.36516 | − | 12.7104i | 0.453439 | − | 1.07422i | ||||
\(141\) | −4.43195 | + | 1.97323i | −0.373237 | + | 0.166176i | ||||
\(142\) | −1.20160 | − | 0.750843i | −0.100836 | − | 0.0630093i | ||||
\(143\) | 1.83115 | − | 1.53652i | 0.153129 | − | 0.128490i | ||||
\(144\) | −10.1838 | − | 2.16463i | −0.848650 | − | 0.180386i | ||||
\(145\) | 2.36023 | − | 5.59151i | 0.196006 | − | 0.464350i | ||||
\(146\) | 11.9351 | − | 15.2762i | 0.987755 | − | 1.26427i | ||||
\(147\) | −9.59359 | − | 5.10100i | −0.791266 | − | 0.420723i | ||||
\(148\) | −27.9313 | − | 26.9729i | −2.29594 | − | 2.21716i | ||||
\(149\) | −6.66933 | + | 2.42744i | −0.546373 | + | 0.198863i | −0.600434 | − | 0.799674i | \(-0.705006\pi\) |
0.0540614 | + | 0.998538i | \(0.482783\pi\) | |||||||
\(150\) | −28.3669 | − | 0.876633i | −2.31615 | − | 0.0715768i | ||||
\(151\) | 21.5420 | 1.75306 | 0.876530 | − | 0.481347i | \(-0.159852\pi\) | ||||
0.876530 | + | 0.481347i | \(0.159852\pi\) | |||||||
\(152\) | −20.5829 | + | 9.02684i | −1.66950 | + | 0.732173i | ||||
\(153\) | −2.97607 | + | 9.15939i | −0.240601 | + | 0.740493i | ||||
\(154\) | −4.32230 | + | 2.70087i | −0.348301 | + | 0.217643i | ||||
\(155\) | 13.9197 | − | 0.757509i | 1.11805 | − | 0.0608446i | ||||
\(156\) | −14.5024 | + | 7.71104i | −1.16112 | + | 0.617378i | ||||
\(157\) | −4.07687 | + | 23.1211i | −0.325370 | + | 1.84526i | 0.181694 | + | 0.983355i | \(0.441842\pi\) |
−0.507064 | + | 0.861908i | \(0.669269\pi\) | |||||||
\(158\) | −0.524081 | + | 15.0077i | −0.0416936 | + | 1.19395i | ||||
\(159\) | 1.01703 | − | 9.67642i | 0.0806560 | − | 0.767390i | ||||
\(160\) | −0.857058 | − | 1.82838i | −0.0677563 | − | 0.144546i | ||||
\(161\) | 2.44536 | − | 9.80779i | 0.192721 | − | 0.772962i | ||||
\(162\) | 26.1546 | − | 1.82891i | 2.05490 | − | 0.143692i | ||||
\(163\) | 10.9948 | − | 4.89519i | 0.861178 | − | 0.383421i | 0.0718667 | − | 0.997414i | \(-0.477104\pi\) |
0.789311 | + | 0.613993i | \(0.210438\pi\) | |||||||
\(164\) | −11.8510 | − | 5.27640i | −0.925406 | − | 0.412017i | ||||
\(165\) | 5.63174 | + | 4.22613i | 0.438430 | + | 0.329004i | ||||
\(166\) | −0.418874 | + | 0.404502i | −0.0325109 | + | 0.0313954i | ||||
\(167\) | 3.64750 | − | 1.93941i | 0.282252 | − | 0.150076i | −0.322310 | − | 0.946634i | \(-0.604459\pi\) |
0.604562 | + | 0.796558i | \(0.293348\pi\) | |||||||
\(168\) | 16.8145 | − | 6.11998i | 1.29727 | − | 0.472167i | ||||
\(169\) | 3.72772 | − | 9.22644i | 0.286748 | − | 0.709726i | ||||
\(170\) | −21.9192 | + | 7.59663i | −1.68113 | + | 0.582635i | ||||
\(171\) | −7.68479 | + | 6.37557i | −0.587670 | + | 0.487552i | ||||
\(172\) | 5.58577 | − | 17.1912i | 0.425911 | − | 1.31082i | ||||
\(173\) | 16.5032 | + | 1.15402i | 1.25471 | + | 0.0877382i | 0.681593 | − | 0.731732i | \(-0.261288\pi\) |
0.573122 | + | 0.819470i | \(0.305732\pi\) | |||||||
\(174\) | 14.4772 | − | 5.26927i | 1.09751 | − | 0.399462i | ||||
\(175\) | 6.51778 | − | 3.79800i | 0.492698 | − | 0.287102i | ||||
\(176\) | −1.08042 | + | 6.12734i | −0.0814394 | + | 0.461866i | ||||
\(177\) | 23.3042 | − | 6.68237i | 1.75165 | − | 0.502277i | ||||
\(178\) | −8.49220 | + | 1.80507i | −0.636517 | + | 0.135296i | ||||
\(179\) | 4.71916 | + | 5.24116i | 0.352727 | + | 0.391743i | 0.893231 | − | 0.449599i | \(-0.148433\pi\) |
−0.540504 | + | 0.841342i | \(0.681766\pi\) | |||||||
\(180\) | −13.7745 | − | 15.7817i | −1.02669 | − | 1.17630i | ||||
\(181\) | −3.56950 | − | 2.23047i | −0.265319 | − | 0.165790i | 0.390736 | − | 0.920503i | \(-0.372221\pi\) |
−0.656055 | + | 0.754713i | \(0.727776\pi\) | |||||||
\(182\) | 3.25047 | − | 5.62998i | 0.240941 | − | 0.417322i | ||||
\(183\) | −20.5975 | + | 22.8759i | −1.52261 | + | 1.69103i | ||||
\(184\) | −19.3174 | − | 28.6392i | −1.42410 | − | 2.11131i | ||||
\(185\) | −3.36335 | − | 20.9630i | −0.247278 | − | 1.54123i | ||||
\(186\) | 25.4548 | + | 24.5814i | 1.86643 | + | 1.80240i | ||||
\(187\) | 5.53245 | + | 1.58640i | 0.404573 | + | 0.116009i | ||||
\(188\) | −2.08665 | − | 8.36909i | −0.152184 | − | 0.610379i | ||||
\(189\) | −1.99123 | + | 1.44671i | −0.144841 | + | 0.105233i | ||||
\(190\) | −23.4161 | − | 5.49424i | −1.69878 | − | 0.398594i | ||||
\(191\) | −9.19722 | − | 6.68217i | −0.665488 | − | 0.483505i | 0.203024 | − | 0.979174i | \(-0.434923\pi\) |
−0.868512 | + | 0.495669i | \(0.834923\pi\) | |||||||
\(192\) | −5.91217 | + | 14.6331i | −0.426674 | + | 1.05605i | ||||
\(193\) | 16.8941 | − | 6.14894i | 1.21606 | − | 0.442610i | 0.347259 | − | 0.937769i | \(-0.387112\pi\) |
0.868802 | + | 0.495159i | \(0.164890\pi\) | |||||||
\(194\) | 34.5121 | − | 18.3504i | 2.47782 | − | 1.31748i | ||||
\(195\) | −8.87314 | − | 1.38712i | −0.635419 | − | 0.0993338i | ||||
\(196\) | 11.8932 | − | 15.2226i | 0.849512 | − | 1.08733i | ||||
\(197\) | 17.6819 | − | 3.75841i | 1.25978 | − | 0.267775i | 0.470828 | − | 0.882225i | \(-0.343955\pi\) |
0.788956 | + | 0.614450i | \(0.210622\pi\) | |||||||
\(198\) | 0.808907 | + | 7.69623i | 0.0574865 | + | 0.546948i | ||||
\(199\) | 2.87996 | − | 2.41658i | 0.204155 | − | 0.171307i | −0.534978 | − | 0.844866i | \(-0.679680\pi\) |
0.739133 | + | 0.673560i | \(0.235236\pi\) | |||||||
\(200\) | 5.25893 | − | 25.2389i | 0.371862 | − | 1.78466i | ||||
\(201\) | 1.24245 | − | 2.15198i | 0.0876354 | − | 0.151789i | ||||
\(202\) | −21.0502 | − | 9.37216i | −1.48109 | − | 0.659423i | ||||
\(203\) | −2.52116 | + | 3.22694i | −0.176951 | + | 0.226487i | ||||
\(204\) | −34.9175 | − | 18.5660i | −2.44472 | − | 1.29988i | ||||
\(205\) | −3.45128 | − | 6.19692i | −0.241048 | − | 0.432811i | ||||
\(206\) | −21.8788 | − | 28.0035i | −1.52437 | − | 1.95110i | ||||
\(207\) | −11.7568 | − | 9.86516i | −0.817157 | − | 0.685676i | ||||
\(208\) | −2.45236 | − | 7.54760i | −0.170041 | − | 0.523332i | ||||
\(209\) | 3.96804 | + | 4.45671i | 0.274475 | + | 0.308277i | ||||
\(210\) | 18.3234 | + | 5.56184i | 1.26443 | + | 0.383804i | ||||
\(211\) | −11.0057 | − | 0.769591i | −0.757661 | − | 0.0529808i | −0.314300 | − | 0.949324i | \(-0.601770\pi\) |
−0.443361 | + | 0.896343i | \(0.646214\pi\) | |||||||
\(212\) | 16.6285 | + | 4.76813i | 1.14205 | + | 0.327477i | ||||
\(213\) | 0.578962 | − | 1.18705i | 0.0396698 | − | 0.0813352i | ||||
\(214\) | 7.79348 | + | 15.9790i | 0.532751 | + | 1.09230i | ||||
\(215\) | 8.08481 | − | 5.68526i | 0.551380 | − | 0.387731i | ||||
\(216\) | −0.879261 | + | 8.36561i | −0.0598261 | + | 0.569208i | ||||
\(217\) | −9.20026 | − | 1.95558i | −0.624554 | − | 0.132753i | ||||
\(218\) | 1.65246 | − | 1.38658i | 0.111919 | − | 0.0939110i | ||||
\(219\) | 15.3240 | + | 9.57551i | 1.03550 | + | 0.647053i | ||||
\(220\) | −9.13821 | + | 8.55587i | −0.616098 | + | 0.576836i | ||||
\(221\) | −7.18062 | + | 1.52629i | −0.483020 | + | 0.102669i | ||||
\(222\) | 33.1802 | − | 42.4688i | 2.22691 | − | 2.85032i | ||||
\(223\) | 6.73236 | + | 13.8034i | 0.450832 | + | 0.924342i | 0.996278 | + | 0.0861965i | \(0.0274713\pi\) |
−0.545446 | + | 0.838146i | \(0.683640\pi\) | |||||||
\(224\) | 0.236588 | + | 1.34176i | 0.0158077 | + | 0.0896499i | ||||
\(225\) | −0.844822 | − | 11.4226i | −0.0563215 | − | 0.761506i | ||||
\(226\) | 34.8742 | + | 29.2629i | 2.31980 | + | 1.94654i | ||||
\(227\) | −20.9370 | + | 15.2116i | −1.38964 | + | 1.00963i | −0.393734 | + | 0.919224i | \(0.628817\pi\) |
−0.995905 | + | 0.0904074i | \(0.971183\pi\) | |||||||
\(228\) | −20.3025 | − | 35.6226i | −1.34457 | − | 2.35916i | ||||
\(229\) | −5.28004 | + | 16.2503i | −0.348915 | + | 1.07385i | 0.610539 | + | 0.791986i | \(0.290953\pi\) |
−0.959454 | + | 0.281864i | \(0.909047\pi\) | |||||||
\(230\) | 1.86070 | − | 36.9217i | 0.122691 | − | 2.43455i | ||||
\(231\) | −2.92486 | − | 3.74365i | −0.192442 | − | 0.246314i | ||||
\(232\) | 2.43024 | + | 13.7826i | 0.159553 | + | 0.904870i | ||||
\(233\) | −26.1548 | + | 3.67581i | −1.71346 | + | 0.240811i | −0.926526 | − | 0.376231i | \(-0.877220\pi\) |
−0.786931 | + | 0.617041i | \(0.788331\pi\) | |||||||
\(234\) | −5.51960 | − | 8.18314i | −0.360827 | − | 0.534948i | ||||
\(235\) | 1.83404 | − | 4.34496i | 0.119640 | − | 0.283434i | ||||
\(236\) | 4.50543 | + | 42.8663i | 0.293279 | + | 2.79036i | ||||
\(237\) | −13.9633 | + | 0.976410i | −0.907015 | + | 0.0634247i | ||||
\(238\) | 15.6143 | − | 1.09186i | 1.01212 | − | 0.0707746i | ||||
\(239\) | 1.14391 | + | 10.8836i | 0.0739933 | + | 0.703999i | 0.967142 | + | 0.254237i | \(0.0818244\pi\) |
−0.893149 | + | 0.449762i | \(0.851509\pi\) | |||||||
\(240\) | 20.0130 | − | 12.0797i | 1.29183 | − | 0.779742i | ||||
\(241\) | 6.30379 | + | 9.34575i | 0.406063 | + | 0.602013i | 0.975494 | − | 0.220026i | \(-0.0706143\pi\) |
−0.569431 | + | 0.822039i | \(0.692836\pi\) | |||||||
\(242\) | −22.3008 | + | 3.13417i | −1.43355 | + | 0.201472i | ||||
\(243\) | 3.39386 | + | 19.2475i | 0.217716 | + | 1.23473i | ||||
\(244\) | −33.6942 | − | 43.1267i | −2.15705 | − | 2.76090i | ||||
\(245\) | 10.1972 | − | 2.75428i | 0.651476 | − | 0.175964i | ||||
\(246\) | 5.56400 | − | 17.1242i | 0.354748 | − | 1.09180i | ||||
\(247\) | −7.13755 | − | 2.64305i | −0.454151 | − | 0.168173i | ||||
\(248\) | −26.0060 | + | 18.8945i | −1.65138 | + | 1.19980i | ||||
\(249\) | −0.415788 | − | 0.348888i | −0.0263495 | − | 0.0221098i | ||||
\(250\) | 20.7128 | − | 18.2254i | 1.30999 | − | 1.15268i | ||||
\(251\) | −2.76534 | − | 15.6830i | −0.174546 | − | 0.989902i | −0.938666 | − | 0.344827i | \(-0.887937\pi\) |
0.764120 | − | 0.645074i | \(-0.223174\pi\) | |||||||
\(252\) | 6.19583 | + | 12.7033i | 0.390301 | + | 0.800235i | ||||
\(253\) | −5.64669 | + | 7.22743i | −0.355004 | + | 0.454385i | ||||
\(254\) | −24.3550 | + | 5.17682i | −1.52817 | + | 0.324823i | ||||
\(255\) | −9.17777 | − | 19.5791i | −0.574734 | − | 1.22609i | ||||
\(256\) | −27.5755 | − | 17.2311i | −1.72347 | − | 1.07694i | ||||
\(257\) | −20.3489 | + | 17.0748i | −1.26933 | + | 1.06510i | −0.274710 | + | 0.961527i | \(0.588582\pi\) |
−0.994622 | + | 0.103569i | \(0.966974\pi\) | |||||||
\(258\) | 24.5406 | + | 5.21627i | 1.52783 | + | 0.324751i | ||||
\(259\) | −1.49738 | + | 14.2466i | −0.0930428 | + | 0.885243i | ||||
\(260\) | 5.16812 | − | 15.1077i | 0.320513 | − | 0.936941i | ||||
\(261\) | 2.72565 | + | 5.58841i | 0.168714 | + | 0.345914i | ||||
\(262\) | 4.83373 | − | 9.91061i | 0.298629 | − | 0.612279i | ||||
\(263\) | −2.51784 | − | 0.721979i | −0.155257 | − | 0.0445191i | 0.197109 | − | 0.980382i | \(-0.436845\pi\) |
−0.352365 | + | 0.935862i | \(0.614623\pi\) | |||||||
\(264\) | −16.1966 | − | 1.13258i | −0.996832 | − | 0.0697053i | ||||
\(265\) | 5.70747 | + | 7.54253i | 0.350607 | + | 0.463334i | ||||
\(266\) | 14.2861 | + | 7.69863i | 0.875939 | + | 0.472033i | ||||
\(267\) | −2.50073 | − | 7.69645i | −0.153042 | − | 0.471015i | ||||
\(268\) | 3.38432 | + | 2.83978i | 0.206730 | + | 0.173467i | ||||
\(269\) | 8.36928 | + | 10.7122i | 0.510284 | + | 0.653134i | 0.972300 | − | 0.233738i | \(-0.0750958\pi\) |
−0.462016 | + | 0.886872i | \(0.652874\pi\) | |||||||
\(270\) | −6.12598 | + | 6.59580i | −0.372815 | + | 0.401407i | ||||
\(271\) | 12.7465 | + | 6.77742i | 0.774293 | + | 0.411699i | 0.809082 | − | 0.587696i | \(-0.199965\pi\) |
−0.0347888 | + | 0.999395i | \(0.511076\pi\) | |||||||
\(272\) | 11.7639 | − | 15.0570i | 0.713288 | − | 0.912967i | ||||
\(273\) | 5.53573 | + | 2.46467i | 0.335038 | + | 0.149168i | ||||
\(274\) | 1.33152 | − | 2.30626i | 0.0804400 | − | 0.139326i | ||||
\(275\) | −6.80443 | + | 0.742795i | −0.410323 | + | 0.0447922i | ||||
\(276\) | 48.2769 | − | 40.5091i | 2.90593 | − | 2.43836i | ||||
\(277\) | 0.958559 | + | 9.12008i | 0.0575942 | + | 0.547972i | 0.984833 | + | 0.173503i | \(0.0555085\pi\) |
−0.927239 | + | 0.374470i | \(0.877825\pi\) | |||||||
\(278\) | −34.5190 | + | 7.33724i | −2.07031 | + | 0.440058i | ||||
\(279\) | −8.79239 | + | 11.2538i | −0.526387 | + | 0.673744i | ||||
\(280\) | −7.86605 | + | 15.5149i | −0.470086 | + | 0.927191i | ||||
\(281\) | −15.4950 | + | 8.23884i | −0.924354 | + | 0.491488i | −0.862194 | − | 0.506578i | \(-0.830910\pi\) |
−0.0621604 | + | 0.998066i | \(0.519799\pi\) | |||||||
\(282\) | 11.2497 | − | 4.09455i | 0.669909 | − | 0.243827i | ||||
\(283\) | 4.92650 | − | 12.1935i | 0.292850 | − | 0.724830i | −0.706995 | − | 0.707219i | \(-0.749950\pi\) |
0.999845 | − | 0.0176109i | \(-0.00560601\pi\) | |||||||
\(284\) | 1.89966 | + | 1.38018i | 0.112724 | + | 0.0818988i | ||||
\(285\) | 2.81171 | − | 22.2422i | 0.166552 | − | 1.31752i | ||||
\(286\) | −4.77220 | + | 3.46721i | −0.282186 | + | 0.205020i | ||||
\(287\) | 1.15782 | + | 4.64376i | 0.0683439 | + | 0.274112i | ||||
\(288\) | 1.98854 | + | 0.570204i | 0.117176 | + | 0.0335996i | ||||
\(289\) | −0.485637 | − | 0.468974i | −0.0285669 | − | 0.0275867i | ||||
\(290\) | −6.77262 | + | 13.3582i | −0.397702 | + | 0.784421i | ||||
\(291\) | 20.3735 | + | 30.2050i | 1.19432 | + | 1.77065i | ||||
\(292\) | −21.4968 | + | 23.8746i | −1.25800 | + | 1.39715i | ||||
\(293\) | 12.0035 | − | 20.7906i | 0.701251 | − | 1.21460i | −0.266776 | − | 0.963758i | \(-0.585958\pi\) |
0.968027 | − | 0.250844i | \(-0.0807082\pi\) | |||||||
\(294\) | 22.7382 | + | 14.2084i | 1.32612 | + | 0.828652i | ||||
\(295\) | −12.0977 | + | 20.2258i | −0.704357 | + | 1.17759i | ||||
\(296\) | 32.7589 | + | 36.3824i | 1.90407 | + | 2.11468i | ||||
\(297\) | 2.18450 | − | 0.464330i | 0.126758 | − | 0.0269432i | ||||
\(298\) | 16.8356 | − | 4.82753i | 0.975259 | − | 0.279651i | ||||
\(299\) | 2.03144 | − | 11.5209i | 0.117481 | − | 0.666269i | ||||
\(300\) | 46.7942 | + | 4.72848i | 2.70166 | + | 0.272999i | ||||
\(301\) | −6.26653 | + | 2.28083i | −0.361197 | + | 0.131465i | ||||
\(302\) | −53.0294 | − | 3.70817i | −3.05150 | − | 0.213381i | ||||
\(303\) | 6.63709 | − | 20.4269i | 0.381291 | − | 1.17349i | ||||
\(304\) | 18.6536 | − | 6.67173i | 1.06986 | − | 0.382650i | ||||
\(305\) | −0.582293 | − | 29.9190i | −0.0333420 | − | 1.71316i | ||||
\(306\) | 8.90279 | − | 22.0352i | 0.508938 | − | 1.25967i | ||||
\(307\) | −22.3444 | + | 8.13269i | −1.27526 | + | 0.464157i | −0.888862 | − | 0.458175i | \(-0.848503\pi\) |
−0.386399 | + | 0.922332i | \(0.626281\pi\) | |||||||
\(308\) | 7.45775 | − | 3.96536i | 0.424945 | − | 0.225947i | ||||
\(309\) | 23.8278 | − | 23.0102i | 1.35551 | − | 1.30901i | ||||
\(310\) | −34.3961 | − | 0.531351i | −1.95357 | − | 0.0301787i | ||||
\(311\) | 13.9568 | + | 6.21398i | 0.791420 | + | 0.352363i | 0.762309 | − | 0.647213i | \(-0.224066\pi\) |
0.0291108 | + | 0.999576i | \(0.490732\pi\) | |||||||
\(312\) | 18.9189 | − | 8.42322i | 1.07107 | − | 0.476871i | ||||
\(313\) | 28.5037 | − | 1.99318i | 1.61113 | − | 0.112661i | 0.764419 | − | 0.644720i | \(-0.223026\pi\) |
0.846708 | + | 0.532059i | \(0.178581\pi\) | |||||||
\(314\) | 14.0159 | − | 56.2149i | 0.790965 | − | 3.17239i | ||||
\(315\) | −1.45937 | + | 7.58908i | −0.0822262 | + | 0.427596i | ||||
\(316\) | 2.60131 | − | 24.7498i | 0.146335 | − | 1.39229i | ||||
\(317\) | −0.554830 | + | 15.8883i | −0.0311624 | + | 0.892373i | 0.878678 | + | 0.477415i | \(0.158426\pi\) |
−0.909840 | + | 0.414958i | \(0.863796\pi\) | |||||||
\(318\) | −4.16928 | + | 23.6452i | −0.233802 | + | 1.32595i | ||||
\(319\) | 3.28079 | − | 1.74443i | 0.183689 | − | 0.0976692i | ||||
\(320\) | −5.52700 | − | 14.3124i | −0.308969 | − | 0.800089i | ||||
\(321\) | −14.0533 | + | 8.78148i | −0.784379 | + | 0.490134i | ||||
\(322\) | −7.70797 | + | 23.7227i | −0.429548 | + | 1.32201i | ||||
\(323\) | −4.33408 | − | 17.8057i | −0.241154 | − | 0.990736i | ||||
\(324\) | −43.4496 | −2.41386 | ||||||||
\(325\) | 7.21838 | − | 4.91112i | 0.400404 | − | 0.272420i | ||||
\(326\) | −27.9083 | + | 10.1578i | −1.54570 | + | 0.562587i | ||||
\(327\) | 1.44637 | + | 1.39675i | 0.0799846 | + | 0.0772402i | ||||
\(328\) | 14.4418 | + | 7.67882i | 0.797413 | + | 0.423992i | ||||
\(329\) | −1.95910 | + | 2.50754i | −0.108009 | + | 0.138245i | ||||
\(330\) | −13.1360 | − | 11.3728i | −0.723115 | − | 0.626052i | ||||
\(331\) | 16.5146 | + | 3.51028i | 0.907723 | + | 0.192942i | 0.638037 | − | 0.770006i | \(-0.279747\pi\) |
0.269686 | + | 0.962948i | \(0.413080\pi\) | |||||||
\(332\) | 0.739234 | − | 0.620291i | 0.0405707 | − | 0.0340429i | ||||
\(333\) | 18.4454 | + | 11.5260i | 1.01080 | + | 0.631619i | ||||
\(334\) | −9.31282 | + | 4.14633i | −0.509575 | + | 0.226877i | ||||
\(335\) | 0.548124 | + | 2.35264i | 0.0299472 | + | 0.128538i | ||||
\(336\) | −15.1613 | + | 4.34744i | −0.827117 | + | 0.237172i | ||||
\(337\) | −24.1329 | + | 23.3048i | −1.31460 | + | 1.26950i | −0.375085 | + | 0.926990i | \(0.622387\pi\) |
−0.939516 | + | 0.342506i | \(0.888724\pi\) | |||||||
\(338\) | −10.7647 | + | 22.0708i | −0.585521 | + | 1.20050i | ||||
\(339\) | −23.7291 | + | 35.1798i | −1.28879 | + | 1.91070i | ||||
\(340\) | 37.1145 | − | 10.0247i | 2.01282 | − | 0.543664i | ||||
\(341\) | 6.90459 | + | 5.01648i | 0.373905 | + | 0.271658i | ||||
\(342\) | 20.0149 | − | 14.3718i | 1.08228 | − | 0.777136i | ||||
\(343\) | −17.6879 | −0.955057 | ||||||||
\(344\) | −8.53762 | + | 21.1314i | −0.460318 | + | 1.13933i | ||||
\(345\) | 34.4080 | − | 1.87248i | 1.85246 | − | 0.100811i | ||||
\(346\) | −40.4269 | − | 5.68163i | −2.17336 | − | 0.305446i | ||||
\(347\) | −26.2374 | − | 13.9507i | −1.40850 | − | 0.748911i | −0.421076 | − | 0.907025i | \(-0.638348\pi\) |
−0.987421 | + | 0.158114i | \(0.949459\pi\) | |||||||
\(348\) | −24.5425 | + | 7.03744i | −1.31562 | + | 0.377247i | ||||
\(349\) | −3.38812 | − | 5.86839i | −0.181362 | − | 0.314128i | 0.760983 | − | 0.648772i | \(-0.224717\pi\) |
−0.942345 | + | 0.334644i | \(0.891384\pi\) | |||||||
\(350\) | −16.6984 | + | 8.22749i | −0.892569 | + | 0.439778i | ||||
\(351\) | −2.18215 | + | 1.83104i | −0.116474 | + | 0.0977335i | ||||
\(352\) | 0.299077 | − | 1.19953i | 0.0159408 | − | 0.0639352i | ||||
\(353\) | 21.5069 | + | 23.8858i | 1.14470 | + | 1.27131i | 0.957321 | + | 0.289026i | \(0.0933313\pi\) |
0.187375 | + | 0.982288i | \(0.440002\pi\) | |||||||
\(354\) | −58.5176 | + | 12.4383i | −3.11018 | + | 0.661089i | ||||
\(355\) | 0.377841 | + | 1.22705i | 0.0200537 | + | 0.0651252i | ||||
\(356\) | 14.2478 | − | 2.00239i | 0.755130 | − | 0.106127i | ||||
\(357\) | 2.53349 | + | 14.3682i | 0.134087 | + | 0.760444i | ||||
\(358\) | −10.7149 | − | 13.7144i | −0.566298 | − | 0.724828i | ||||
\(359\) | 0.776828 | + | 3.11569i | 0.0409994 | + | 0.164440i | 0.987306 | − | 0.158832i | \(-0.0507728\pi\) |
−0.946306 | + | 0.323272i | \(0.895217\pi\) | |||||||
\(360\) | 15.9372 | + | 21.0613i | 0.839962 | + | 1.11003i | ||||
\(361\) | 6.07261 | − | 18.0034i | 0.319611 | − | 0.947549i | ||||
\(362\) | 8.40302 | + | 6.10515i | 0.441653 | + | 0.320880i | ||||
\(363\) | −5.07821 | − | 20.3676i | −0.266537 | − | 1.06902i | ||||
\(364\) | −6.02443 | + | 8.93159i | −0.315766 | + | 0.468143i | ||||
\(365\) | −17.2367 | + | 3.38639i | −0.902211 | + | 0.177252i | ||||
\(366\) | 54.6422 | − | 52.7674i | 2.85619 | − | 2.75819i | ||||
\(367\) | 0.937257 | − | 26.8395i | 0.0489244 | − | 1.40101i | −0.688331 | − | 0.725397i | \(-0.741656\pi\) |
0.737255 | − | 0.675614i | \(-0.236122\pi\) | |||||||
\(368\) | 15.2249 | + | 26.3703i | 0.793652 | + | 1.37464i | ||||
\(369\) | 7.10786 | + | 1.51082i | 0.370021 | + | 0.0786503i | ||||
\(370\) | 4.67096 | + | 52.1832i | 0.242832 | + | 2.71287i | ||||
\(371\) | −2.39071 | − | 5.91721i | −0.124119 | − | 0.307206i | ||||
\(372\) | −39.2396 | − | 43.5800i | −2.03448 | − | 2.25952i | ||||
\(373\) | 19.5767 | + | 8.71611i | 1.01364 | + | 0.451303i | 0.845224 | − | 0.534412i | \(-0.179467\pi\) |
0.168419 | + | 0.985715i | \(0.446134\pi\) | |||||||
\(374\) | −13.3460 | − | 4.85755i | −0.690106 | − | 0.251178i | ||||
\(375\) | 18.9132 | + | 17.4252i | 0.976673 | + | 0.899831i | ||||
\(376\) | 1.88845 | + | 10.7099i | 0.0973893 | + | 0.552322i | ||||
\(377\) | −2.65025 | + | 3.92916i | −0.136495 | + | 0.202362i | ||||
\(378\) | 5.15079 | − | 3.21857i | 0.264928 | − | 0.165546i | ||||
\(379\) | −2.69817 | + | 8.30412i | −0.138596 | + | 0.426554i | −0.996132 | − | 0.0878696i | \(-0.971994\pi\) |
0.857536 | + | 0.514424i | \(0.171994\pi\) | |||||||
\(380\) | 38.0758 | + | 11.7899i | 1.95325 | + | 0.604808i | ||||
\(381\) | −7.17192 | − | 22.0729i | −0.367428 | − | 1.13083i | ||||
\(382\) | 21.4903 | + | 18.0325i | 1.09954 | + | 0.922625i | ||||
\(383\) | 15.7364 | + | 20.1417i | 0.804092 | + | 1.02919i | 0.998831 | + | 0.0483362i | \(0.0153919\pi\) |
−0.194739 | + | 0.980855i | \(0.562386\pi\) | |||||||
\(384\) | 18.8939 | − | 38.7382i | 0.964175 | − | 1.97685i | ||||
\(385\) | 4.56296 | + | 0.713319i | 0.232550 | + | 0.0363541i | ||||
\(386\) | −42.6462 | + | 12.2286i | −2.17063 | + | 0.622419i | ||||
\(387\) | −1.05839 | + | 10.0699i | −0.0538010 | + | 0.511882i | ||||
\(388\) | −59.1759 | + | 26.3468i | −3.00420 | + | 1.33756i | ||||
\(389\) | −1.15571 | + | 4.63532i | −0.0585971 | + | 0.235020i | −0.992452 | − | 0.122631i | \(-0.960867\pi\) |
0.933855 | + | 0.357651i | \(0.116422\pi\) | |||||||
\(390\) | 21.6040 | + | 4.94204i | 1.09396 | + | 0.250250i | ||||
\(391\) | 25.7317 | − | 11.4565i | 1.30131 | − | 0.579380i | ||||
\(392\) | −16.2978 | + | 18.1005i | −0.823161 | + | 0.914213i | ||||
\(393\) | 9.65816 | + | 3.51528i | 0.487190 | + | 0.177323i | ||||
\(394\) | −44.1741 | + | 6.20827i | −2.22546 | + | 0.312768i | ||||
\(395\) | 9.26021 | − | 9.97040i | 0.465932 | − | 0.501665i | ||||
\(396\) | −0.447570 | − | 12.8167i | −0.0224913 | − | 0.644066i | ||||
\(397\) | 25.1855 | − | 15.7376i | 1.26402 | − | 0.789849i | 0.278672 | − | 0.960386i | \(-0.410106\pi\) |
0.985351 | + | 0.170537i | \(0.0545502\pi\) | |||||||
\(398\) | −7.50553 | + | 5.45308i | −0.376218 | + | 0.273338i | ||||
\(399\) | −5.74475 | + | 13.9934i | −0.287597 | + | 0.700548i | ||||
\(400\) | −6.17604 | + | 21.8693i | −0.308802 | + | 1.09346i | ||||
\(401\) | −11.4344 | − | 9.59456i | −0.571004 | − | 0.479130i | 0.310975 | − | 0.950418i | \(-0.399345\pi\) |
−0.881979 | + | 0.471289i | \(0.843789\pi\) | |||||||
\(402\) | −3.42894 | + | 5.08361i | −0.171020 | + | 0.253547i | ||||
\(403\) | −10.7799 | − | 1.51502i | −0.536985 | − | 0.0754684i | ||||
\(404\) | 33.7163 | + | 17.9273i | 1.67745 | + | 0.891915i | ||||
\(405\) | −19.0023 | − | 14.2596i | −0.944231 | − | 0.708563i | ||||
\(406\) | 6.76177 | − | 7.50970i | 0.335581 | − | 0.372700i | ||||
\(407\) | 6.49909 | − | 11.2568i | 0.322148 | − | 0.557977i | ||||
\(408\) | 42.2854 | + | 26.4228i | 2.09344 | + | 1.30813i | ||||
\(409\) | −22.7447 | + | 1.59047i | −1.12466 | + | 0.0786436i | −0.619945 | − | 0.784645i | \(-0.712845\pi\) |
−0.504710 | + | 0.863289i | \(0.668401\pi\) | |||||||
\(410\) | 7.42922 | + | 15.8489i | 0.366903 | + | 0.782721i | ||||
\(411\) | 2.26765 | + | 1.00962i | 0.111855 | + | 0.0498010i | ||||
\(412\) | 32.9322 | + | 48.8240i | 1.62245 | + | 2.40539i | ||||
\(413\) | 11.4387 | − | 11.0462i | 0.562862 | − | 0.543550i | ||||
\(414\) | 27.2434 | + | 26.3086i | 1.33894 | + | 1.29300i | ||||
\(415\) | 0.526868 | − | 0.0286722i | 0.0258629 | − | 0.00140746i | ||||
\(416\) | 0.381473 | + | 1.53001i | 0.0187033 | + | 0.0750147i | ||||
\(417\) | −10.1649 | − | 31.2845i | −0.497779 | − | 1.53201i | ||||
\(418\) | −9.00086 | − | 11.6540i | −0.440246 | − | 0.570017i | ||||
\(419\) | −3.76971 | − | 11.6020i | −0.184162 | − | 0.566793i | 0.815771 | − | 0.578375i | \(-0.196313\pi\) |
−0.999933 | + | 0.0115825i | \(0.996313\pi\) | |||||||
\(420\) | −29.6488 | − | 11.3129i | −1.44672 | − | 0.552014i | ||||
\(421\) | 0.568197 | + | 16.2710i | 0.0276922 | + | 0.793002i | 0.931217 | + | 0.364466i | \(0.118748\pi\) |
−0.903525 | + | 0.428536i | \(0.859029\pi\) | |||||||
\(422\) | 26.9599 | + | 3.78897i | 1.31239 | + | 0.184444i | ||||
\(423\) | 2.11800 | + | 4.34255i | 0.102981 | + | 0.211142i | ||||
\(424\) | −20.4954 | − | 7.45973i | −0.995346 | − | 0.362276i | ||||
\(425\) | 19.5217 | + | 7.79629i | 0.946940 | + | 0.378175i | ||||
\(426\) | −1.62955 | + | 2.82247i | −0.0789521 | + | 0.136749i | ||||
\(427\) | −4.88461 | + | 19.5911i | −0.236383 | + | 0.948080i | ||||
\(428\) | −11.0368 | − | 27.3170i | −0.533484 | − | 1.32042i | ||||
\(429\) | −3.67909 | − | 4.08604i | −0.177628 | − | 0.197276i | ||||
\(430\) | −20.8808 | + | 12.6036i | −1.00696 | + | 0.607798i | ||||
\(431\) | −0.195862 | + | 5.60876i | −0.00943435 | + | 0.270164i | 0.985502 | + | 0.169661i | \(0.0542674\pi\) |
−0.994937 | + | 0.100503i | \(0.967955\pi\) | |||||||
\(432\) | 1.28751 | − | 7.30183i | 0.0619453 | − | 0.351309i | ||||
\(433\) | −10.5415 | + | 5.60501i | −0.506592 | + | 0.269359i | −0.703034 | − | 0.711156i | \(-0.748172\pi\) |
0.196443 | + | 0.980515i | \(0.437061\pi\) | |||||||
\(434\) | 22.3114 | + | 6.39770i | 1.07098 | + | 0.307100i | ||||
\(435\) | −13.0430 | − | 4.97674i | −0.625365 | − | 0.238617i | ||||
\(436\) | −2.89210 | + | 2.10123i | −0.138507 | + | 0.100631i | ||||
\(437\) | 28.8961 | + | 4.22564i | 1.38229 | + | 0.202140i | ||||
\(438\) | −36.0745 | − | 26.2097i | −1.72371 | − | 1.25235i | ||||
\(439\) | −33.0952 | − | 2.31424i | −1.57955 | − | 0.110453i | −0.747160 | − | 0.664644i | \(-0.768583\pi\) |
−0.832389 | + | 0.554191i | \(0.813028\pi\) | |||||||
\(440\) | 12.2463 | − | 9.95760i | 0.583819 | − | 0.474710i | ||||
\(441\) | −4.74360 | + | 9.72583i | −0.225886 | + | 0.463135i | ||||
\(442\) | 17.9391 | − | 2.52117i | 0.853275 | − | 0.119920i | ||||
\(443\) | 14.8045 | + | 5.38841i | 0.703385 | + | 0.256011i | 0.668856 | − | 0.743392i | \(-0.266784\pi\) |
0.0345296 | + | 0.999404i | \(0.489007\pi\) | |||||||
\(444\) | −59.7622 | + | 66.3727i | −2.83619 | + | 3.14991i | ||||
\(445\) | 6.88829 | + | 3.80019i | 0.326536 | + | 0.180146i | ||||
\(446\) | −14.1968 | − | 35.1383i | −0.672239 | − | 1.66385i | ||||
\(447\) | 6.11548 | + | 15.1363i | 0.289252 | + | 0.715925i | ||||
\(448\) | 1.08207 | + | 10.2952i | 0.0511232 | + | 0.486404i | ||||
\(449\) | 20.1475 | + | 34.8966i | 0.950821 | + | 1.64687i | 0.743653 | + | 0.668566i | \(0.233091\pi\) |
0.207168 | + | 0.978305i | \(0.433575\pi\) | |||||||
\(450\) | 0.113426 | + | 28.2642i | 0.00534696 | + | 1.33238i | ||||
\(451\) | 0.754085 | − | 4.27663i | 0.0355085 | − | 0.201379i | ||||
\(452\) | −54.2703 | − | 52.4083i | −2.55266 | − | 2.46508i | ||||
\(453\) | −1.72927 | − | 49.5199i | −0.0812483 | − | 2.32665i | ||||
\(454\) | 54.1587 | − | 33.8421i | 2.54179 | − | 1.58829i | ||||
\(455\) | −5.56596 | + | 1.92901i | −0.260936 | + | 0.0904336i | ||||
\(456\) | 22.4029 | + | 46.5907i | 1.04911 | + | 2.18181i | ||||
\(457\) | 39.4777 | 1.84669 | 0.923345 | − | 0.383971i | \(-0.125444\pi\) | ||||
0.923345 | + | 0.383971i | \(0.125444\pi\) | |||||||
\(458\) | 15.7950 | − | 39.0941i | 0.738054 | − | 1.82675i | ||||
\(459\) | −6.59290 | − | 1.89048i | −0.307730 | − | 0.0882402i | ||||
\(460\) | −7.34427 | + | 60.8230i | −0.342429 | + | 2.83589i | ||||
\(461\) | 4.01322 | + | 8.22832i | 0.186914 | + | 0.383231i | 0.971588 | − | 0.236678i | \(-0.0760585\pi\) |
−0.784674 | + | 0.619909i | \(0.787170\pi\) | |||||||
\(462\) | 6.55564 | + | 9.71914i | 0.304996 | + | 0.452175i | ||||
\(463\) | −2.92293 | + | 27.8098i | −0.135840 | + | 1.29243i | 0.688042 | + | 0.725671i | \(0.258470\pi\) |
−0.823882 | + | 0.566761i | \(0.808196\pi\) | |||||||
\(464\) | −1.28947 | − | 12.2685i | −0.0598620 | − | 0.569549i | ||||
\(465\) | −2.85873 | − | 31.9372i | −0.132570 | − | 1.48105i | ||||
\(466\) | 65.0174 | − | 4.54646i | 3.01187 | − | 0.210611i | ||||
\(467\) | −12.9628 | − | 2.75532i | −0.599846 | − | 0.127501i | −0.102026 | − | 0.994782i | \(-0.532533\pi\) |
−0.497820 | + | 0.867280i | \(0.665866\pi\) | |||||||
\(468\) | 8.17888 | + | 14.1662i | 0.378069 | + | 0.654835i | ||||
\(469\) | 0.0568824 | − | 1.62890i | 0.00262658 | − | 0.0752155i | ||||
\(470\) | −5.26275 | + | 10.3802i | −0.242753 | + | 0.478802i | ||||
\(471\) | 53.4772 | + | 7.51573i | 2.46410 | + | 0.346306i | ||||
\(472\) | −1.89663 | − | 54.3123i | −0.0872994 | − | 2.49993i | ||||
\(473\) | 6.03625 | + | 0.422096i | 0.277547 | + | 0.0194080i | ||||
\(474\) | 34.5413 | 1.58653 | ||||||||
\(475\) | 12.7828 | + | 17.6522i | 0.586517 | + | 0.809937i | ||||
\(476\) | −25.9394 | −1.18893 | ||||||||
\(477\) | −9.66633 | − | 0.675936i | −0.442591 | − | 0.0309490i | ||||
\(478\) | −0.942467 | − | 26.9887i | −0.0431074 | − | 1.23444i | ||||
\(479\) | 38.7915 | + | 5.45179i | 1.77243 | + | 0.249099i | 0.948316 | − | 0.317327i | \(-0.102785\pi\) |
0.824113 | + | 0.566426i | \(0.191674\pi\) | |||||||
\(480\) | −4.13421 | + | 2.11694i | −0.188700 | + | 0.0966249i | ||||
\(481\) | −0.578607 | + | 16.5691i | −0.0263822 | + | 0.755487i | ||||
\(482\) | −13.9091 | − | 24.0913i | −0.633544 | − | 1.09733i | ||||
\(483\) | −22.7421 | − | 4.83398i | −1.03480 | − | 0.219954i | ||||
\(484\) | 37.2294 | − | 2.60333i | 1.69225 | − | 0.118333i | ||||
\(485\) | −34.5267 | − | 7.89818i | −1.56778 | − | 0.358638i | ||||
\(486\) | −5.04137 | − | 47.9654i | −0.228681 | − | 2.17575i | ||||
\(487\) | 1.77454 | − | 16.8836i | 0.0804121 | − | 0.765070i | −0.877803 | − | 0.479022i | \(-0.840991\pi\) |
0.958215 | − | 0.286049i | \(-0.0923419\pi\) | |||||||
\(488\) | 38.5866 | + | 57.2070i | 1.74673 | + | 2.58964i | ||||
\(489\) | −12.1355 | − | 24.8815i | −0.548786 | − | 1.12518i | ||||
\(490\) | −25.5764 | + | 5.02482i | −1.15542 | + | 0.226998i | ||||
\(491\) | −9.37767 | − | 2.68900i | −0.423208 | − | 0.121353i | 0.0572718 | − | 0.998359i | \(-0.481760\pi\) |
−0.480480 | + | 0.877006i | \(0.659538\pi\) | |||||||
\(492\) | −11.1779 | + | 27.6662i | −0.503937 | + | 1.24729i | ||||
\(493\) | −11.4112 | −0.513933 | ||||||||
\(494\) | 17.1154 | + | 7.73497i | 0.770057 | + | 0.348013i | ||||
\(495\) | 4.01054 | − | 5.75217i | 0.180260 | − | 0.258541i | ||||
\(496\) | 24.0288 | − | 15.0149i | 1.07893 | − | 0.674188i | ||||
\(497\) | −0.0302328 | − | 0.865753i | −0.00135613 | − | 0.0388343i | ||||
\(498\) | 0.963479 | + | 0.930421i | 0.0431745 | + | 0.0416932i | ||||
\(499\) | 2.13258 | − | 12.0945i | 0.0954673 | − | 0.541422i | −0.899136 | − | 0.437670i | \(-0.855804\pi\) |
0.994603 | − | 0.103752i | \(-0.0330849\pi\) | |||||||
\(500\) | −36.3488 | + | 27.7354i | −1.62557 | + | 1.24036i | ||||
\(501\) | −4.75105 | − | 8.22906i | −0.212261 | − | 0.367647i | ||||
\(502\) | 4.10774 | + | 39.0825i | 0.183337 | + | 1.74434i | ||||
\(503\) | −2.66009 | − | 6.58395i | −0.118608 | − | 0.293564i | 0.856188 | − | 0.516665i | \(-0.172827\pi\) |
−0.974795 | + | 0.223101i | \(0.928382\pi\) | |||||||
\(504\) | −6.67566 | − | 16.5228i | −0.297357 | − | 0.735985i | ||||
\(505\) | 8.86203 | + | 18.9056i | 0.394355 | + | 0.841286i | ||||
\(506\) | 15.1444 | − | 16.8196i | 0.673252 | − | 0.747722i | ||||
\(507\) | −21.5086 | − | 7.82851i | −0.955232 | − | 0.347676i | ||||
\(508\) | 40.8616 | − | 5.74272i | 1.81294 | − | 0.254792i | ||||
\(509\) | −1.02155 | + | 2.09449i | −0.0452795 | + | 0.0928367i | −0.920234 | − | 0.391368i | \(-0.872002\pi\) |
0.874955 | + | 0.484204i | \(0.160891\pi\) | |||||||
\(510\) | 19.2224 | + | 49.7773i | 0.851183 | + | 2.20418i | ||||
\(511\) | 11.8234 | + | 0.826776i | 0.523038 | + | 0.0365744i | ||||
\(512\) | 34.5974 | + | 25.1365i | 1.52900 | + | 1.11089i | ||||
\(513\) | −4.72862 | − | 5.31097i | −0.208774 | − | 0.234485i | ||||
\(514\) | 53.0317 | − | 38.5298i | 2.33913 | − | 1.69948i | ||||
\(515\) | −1.62077 | + | 32.1606i | −0.0714195 | + | 1.41717i | ||||
\(516\) | −39.9670 | − | 11.4603i | −1.75945 | − | 0.504513i | ||||
\(517\) | 2.54938 | − | 1.35553i | 0.112122 | − | 0.0596161i | ||||
\(518\) | 6.13845 | − | 34.8129i | 0.269708 | − | 1.52959i | ||||
\(519\) | 1.32802 | − | 38.0296i | 0.0582937 | − | 1.66931i | ||||
\(520\) | −7.82907 | + | 18.5475i | −0.343327 | + | 0.813363i | ||||
\(521\) | −20.6355 | − | 22.9181i | −0.904059 | − | 1.00406i | −0.999962 | − | 0.00866812i | \(-0.997241\pi\) |
0.0959039 | − | 0.995391i | \(-0.469426\pi\) | |||||||
\(522\) | −5.74770 | − | 14.2261i | −0.251570 | − | 0.622658i | ||||
\(523\) | −2.82458 | + | 11.3288i | −0.123510 | + | 0.495373i | 0.876395 | + | 0.481593i | \(0.159942\pi\) |
−0.999905 | + | 0.0137794i | \(0.995614\pi\) | |||||||
\(524\) | −9.13668 | + | 15.8252i | −0.399138 | + | 0.691327i | ||||
\(525\) | −9.25391 | − | 14.6779i | −0.403874 | − | 0.640598i | ||||
\(526\) | 6.07383 | + | 2.21069i | 0.264832 | + | 0.0963908i | ||||
\(527\) | −11.4897 | − | 23.5574i | −0.500500 | − | 1.02618i | ||||
\(528\) | 14.1720 | + | 1.99175i | 0.616759 | + | 0.0866798i | ||||
\(529\) | 0.763824 | + | 21.8731i | 0.0332097 | + | 0.951003i | ||||
\(530\) | −12.7516 | − | 19.5497i | −0.553894 | − | 0.849187i | ||||
\(531\) | −7.46096 | − | 22.9625i | −0.323778 | − | 0.996487i | ||||
\(532\) | −22.7275 | − | 14.3787i | −0.985363 | − | 0.623395i | ||||
\(533\) | 1.71165 | + | 5.26791i | 0.0741396 | + | 0.228178i | ||||
\(534\) | 4.83114 | + | 19.3767i | 0.209064 | + | 0.838510i | ||||
\(535\) | 4.13823 | − | 15.5690i | 0.178911 | − | 0.673106i | ||||
\(536\) | −4.00694 | − | 3.86945i | −0.173073 | − | 0.167135i | ||||
\(537\) | 11.6694 | − | 11.2690i | 0.503570 | − | 0.486292i | ||||
\(538\) | −18.7585 | − | 27.8106i | −0.808736 | − | 1.19900i | ||||
\(539\) | 5.90761 | + | 2.63024i | 0.254459 | + | 0.113292i | ||||
\(540\) | 10.8898 | − | 10.1958i | 0.468623 | − | 0.438759i | ||||
\(541\) | −28.4434 | + | 1.98895i | −1.22288 | + | 0.0855118i | −0.666555 | − | 0.745456i | \(-0.732232\pi\) |
−0.556321 | + | 0.830968i | \(0.687787\pi\) | |||||||
\(542\) | −30.2111 | − | 18.8780i | −1.29768 | − | 0.810878i | ||||
\(543\) | −4.84079 | + | 8.38450i | −0.207738 | + | 0.359813i | ||||
\(544\) | −2.54042 | + | 2.82142i | −0.108919 | + | 0.120967i | ||||
\(545\) | −1.95443 | − | 0.0301920i | −0.0837186 | − | 0.00129328i | ||||
\(546\) | −13.2029 | − | 7.02012i | −0.565033 | − | 0.300433i | ||||
\(547\) | −6.29998 | − | 0.885404i | −0.269368 | − | 0.0378572i | 0.00319605 | − | 0.999995i | \(-0.498983\pi\) |
−0.272564 | + | 0.962138i | \(0.587872\pi\) | |||||||
\(548\) | −2.46784 | + | 3.65872i | −0.105421 | + | 0.156293i | ||||
\(549\) | 23.4843 | + | 19.7057i | 1.00229 | + | 0.841018i | ||||
\(550\) | 16.8782 | − | 0.657225i | 0.719688 | − | 0.0280242i | ||||
\(551\) | −9.99822 | − | 6.32543i | −0.425939 | − | 0.269472i | ||||
\(552\) | −64.2841 | + | 46.7051i | −2.73611 | + | 1.98790i | ||||
\(553\) | −7.78609 | + | 4.86529i | −0.331098 | + | 0.206893i | ||||
\(554\) | −0.789757 | − | 22.6157i | −0.0335536 | − | 0.960849i | ||||
\(555\) | −47.9191 | + | 9.41435i | −2.03405 | + | 0.399617i | ||||
\(556\) | 57.9142 | − | 8.13931i | 2.45611 | − | 0.345184i | ||||
\(557\) | −13.7685 | − | 5.01132i | −0.583390 | − | 0.212336i | 0.0334300 | − | 0.999441i | \(-0.489357\pi\) |
−0.616820 | + | 0.787105i | \(0.711579\pi\) | |||||||
\(558\) | 23.5812 | − | 26.1896i | 0.998273 | − | 1.10869i | ||||
\(559\) | −7.05080 | + | 3.13922i | −0.298217 | + | 0.132775i | ||||
\(560\) | 7.87058 | − | 13.1586i | 0.332593 | − | 0.556052i | ||||
\(561\) | 3.20265 | − | 12.8451i | 0.135216 | − | 0.542322i | ||||
\(562\) | 39.5619 | − | 17.6141i | 1.66882 | − | 0.743006i | ||||
\(563\) | 2.64758 | − | 25.1901i | 0.111582 | − | 1.06163i | −0.785224 | − | 0.619211i | \(-0.787452\pi\) |
0.896807 | − | 0.442423i | \(-0.145881\pi\) | |||||||
\(564\) | −19.0711 | + | 5.46854i | −0.803036 | + | 0.230267i | ||||
\(565\) | −6.53497 | − | 40.7311i | −0.274928 | − | 1.71357i | ||||
\(566\) | −14.2264 | + | 29.1685i | −0.597981 | + | 1.22604i | ||||
\(567\) | 9.86889 | + | 12.6316i | 0.414455 | + | 0.530478i | ||||
\(568\) | −2.26795 | − | 1.90303i | −0.0951609 | − | 0.0798495i | ||||
\(569\) | −9.08660 | − | 27.9657i | −0.380930 | − | 1.17238i | −0.939390 | − | 0.342851i | \(-0.888607\pi\) |
0.558460 | − | 0.829532i | \(-0.311393\pi\) | |||||||
\(570\) | −10.7502 | + | 54.2692i | −0.450278 | + | 2.27308i | ||||
\(571\) | −7.54971 | + | 23.2356i | −0.315945 | + | 0.972380i | 0.659418 | + | 0.751776i | \(0.270803\pi\) |
−0.975364 | + | 0.220604i | \(0.929197\pi\) | |||||||
\(572\) | 8.29010 | − | 5.18023i | 0.346626 | − | 0.216596i | ||||
\(573\) | −14.6224 | + | 21.6786i | −0.610861 | + | 0.905638i | ||||
\(574\) | −2.05081 | − | 11.6307i | −0.0855992 | − | 0.485457i | ||||
\(575\) | −23.1732 | + | 24.1901i | −0.966391 | + | 1.00880i | ||||
\(576\) | 14.7699 | + | 5.37580i | 0.615412 | + | 0.223992i | ||||
\(577\) | 21.6688 | + | 9.64758i | 0.902085 | + | 0.401634i | 0.804748 | − | 0.593617i | \(-0.202301\pi\) |
0.0973376 | + | 0.995251i | \(0.468967\pi\) | |||||||
\(578\) | 1.11475 | + | 1.23806i | 0.0463676 | + | 0.0514964i | ||||
\(579\) | −15.4911 | − | 38.3419i | −0.643789 | − | 1.59343i | ||||
\(580\) | 12.7406 | − | 21.3006i | 0.529023 | − | 0.884457i | ||||
\(581\) | −0.348236 | − | 0.0740198i | −0.0144472 | − | 0.00307086i | ||||
\(582\) | −44.9537 | − | 77.8621i | −1.86339 | − | 3.22749i | ||||
\(583\) | −0.202095 | + | 5.78724i | −0.00836991 | + | 0.239683i | ||||
\(584\) | 29.1378 | − | 28.1381i | 1.20573 | − | 1.16436i | ||||
\(585\) | −1.07221 | + | 8.87968i | −0.0443303 | + | 0.367129i | ||||
\(586\) | −33.1276 | + | 49.1136i | −1.36849 | + | 2.02886i | ||||
\(587\) | −1.41626 | − | 5.68030i | −0.0584552 | − | 0.234451i | 0.933961 | − | 0.357375i | \(-0.116328\pi\) |
−0.992416 | + | 0.122924i | \(0.960773\pi\) | |||||||
\(588\) | −35.9478 | − | 26.1176i | −1.48246 | − | 1.07707i | ||||
\(589\) | 2.99127 | − | 27.0094i | 0.123253 | − | 1.11290i | ||||
\(590\) | 33.2623 | − | 47.7070i | 1.36939 | − | 1.96407i | ||||
\(591\) | −10.0591 | − | 40.3448i | −0.413776 | − | 1.65956i | ||||
\(592\) | −26.5679 | − | 34.0053i | −1.09193 | − | 1.39761i | ||||
\(593\) | 4.08198 | + | 23.1501i | 0.167627 | + | 0.950659i | 0.946315 | + | 0.323247i | \(0.104775\pi\) |
−0.778688 | + | 0.627412i | \(0.784114\pi\) | |||||||
\(594\) | −5.45747 | + | 0.766997i | −0.223923 | + | 0.0314703i | ||||
\(595\) | −11.3444 | − | 8.51295i | −0.465073 | − | 0.348997i | ||||
\(596\) | −28.3903 | + | 6.03454i | −1.16291 | + | 0.247184i | ||||
\(597\) | −5.78633 | − | 6.42637i | −0.236819 | − | 0.263014i | ||||
\(598\) | −6.98392 | + | 28.0110i | −0.285594 | + | 1.14545i | ||||
\(599\) | −10.9810 | + | 9.21414i | −0.448671 | + | 0.376480i | −0.838942 | − | 0.544220i | \(-0.816826\pi\) |
0.390271 | + | 0.920700i | \(0.372381\pi\) | |||||||
\(600\) | −58.4405 | − | 10.0630i | −2.38582 | − | 0.410820i | ||||
\(601\) | 14.6517 | + | 25.3774i | 0.597654 | + | 1.03517i | 0.993167 | + | 0.116706i | \(0.0372335\pi\) |
−0.395513 | + | 0.918460i | \(0.629433\pi\) | |||||||
\(602\) | 15.8188 | − | 4.53597i | 0.644726 | − | 0.184872i | ||||
\(603\) | −2.18506 | − | 1.16182i | −0.0889824 | − | 0.0473128i | ||||
\(604\) | 87.2382 | + | 12.2605i | 3.54967 | + | 0.498874i | ||||
\(605\) | 17.1363 | + | 11.0796i | 0.696691 | + | 0.450451i | ||||
\(606\) | −19.8546 | + | 49.1418i | −0.806538 | + | 1.99625i | ||||
\(607\) | −3.49148 | −0.141715 | −0.0708574 | − | 0.997486i | \(-0.522574\pi\) | ||||
−0.0708574 | + | 0.997486i | \(0.522574\pi\) | |||||||
\(608\) | −3.78982 | + | 1.06386i | −0.153698 | + | 0.0431454i | ||||
\(609\) | 7.62036 | + | 5.53652i | 0.308793 | + | 0.224351i | ||||
\(610\) | −3.71677 | + | 73.7513i | −0.150487 | + | 2.98610i | ||||
\(611\) | −2.05941 | + | 3.05320i | −0.0833149 | + | 0.123519i | ||||
\(612\) | −17.2652 | + | 35.3989i | −0.697903 | + | 1.43091i | ||||
\(613\) | 24.7524 | − | 23.9032i | 0.999742 | − | 0.965440i | 0.000339272 | − | 1.00000i | \(-0.499892\pi\) |
0.999403 | + | 0.0345604i | \(0.0110031\pi\) | |||||||
\(614\) | 56.4046 | − | 16.1738i | 2.27630 | − | 0.652720i | ||||
\(615\) | −13.9682 | + | 8.43113i | −0.563252 | + | 0.339976i | ||||
\(616\) | −9.72891 | + | 4.33159i | −0.391989 | + | 0.174525i | ||||
\(617\) | −15.8799 | − | 9.92284i | −0.639299 | − | 0.399478i | 0.171185 | − | 0.985239i | \(-0.445240\pi\) |
−0.810484 | + | 0.585761i | \(0.800796\pi\) | |||||||
\(618\) | −62.6172 | + | 52.5421i | −2.51883 | + | 2.11355i | ||||
\(619\) | −29.5544 | − | 6.28198i | −1.18789 | − | 0.252494i | −0.428752 | − | 0.903422i | \(-0.641047\pi\) |
−0.759140 | + | 0.650928i | \(0.774380\pi\) | |||||||
\(620\) | 56.8014 | + | 4.85466i | 2.28120 | + | 0.194968i | ||||
\(621\) | 6.72904 | − | 8.61277i | 0.270027 | − | 0.345619i | ||||
\(622\) | −33.2876 | − | 17.6993i | −1.33471 | − | 0.709678i | ||||
\(623\) | −3.81829 | − | 3.68728i | −0.152977 | − | 0.147728i | ||||
\(624\) | −17.1533 | + | 6.24329i | −0.686681 | + | 0.249931i | ||||
\(625\) | −24.9992 | + | 0.200651i | −0.999968 | + | 0.00802602i | ||||
\(626\) | −70.5101 | −2.81815 | ||||||||
\(627\) | 9.92639 | − | 9.47934i | 0.396422 | − | 0.378568i | ||||
\(628\) | −29.6693 | + | 91.3128i | −1.18394 | + | 3.64378i | ||||
\(629\) | −33.8524 | + | 21.1533i | −1.34978 | + | 0.843439i | ||||
\(630\) | 4.89886 | − | 18.4306i | 0.195175 | − | 0.734295i | ||||
\(631\) | −15.9601 | + | 8.48614i | −0.635362 | + | 0.337828i | −0.755712 | − | 0.654904i | \(-0.772709\pi\) |
0.120351 | + | 0.992731i | \(0.461598\pi\) | |||||||
\(632\) | −5.44865 | + | 30.9008i | −0.216736 | + | 1.22917i | ||||
\(633\) | −0.885632 | + | 25.3612i | −0.0352007 | + | 1.00802i | ||||
\(634\) | 4.10077 | − | 39.0162i | 0.162862 | − | 1.54953i | ||||
\(635\) | 19.7551 | + | 10.8987i | 0.783959 | + | 0.432501i | ||||
\(636\) | 9.62597 | − | 38.6076i | 0.381694 | − | 1.53089i | ||||
\(637\) | −8.22819 | + | 0.575371i | −0.326013 | + | 0.0227970i | ||||
\(638\) | −8.37653 | + | 3.72947i | −0.331630 | + | 0.147651i | ||||
\(639\) | −1.20160 | − | 0.534985i | −0.0475344 | − | 0.0211637i | ||||
\(640\) | 12.3305 | + | 40.0437i | 0.487406 | + | 1.58287i | ||||
\(641\) | −14.1713 | + | 13.6851i | −0.559733 | + | 0.540528i | −0.919794 | − | 0.392401i | \(-0.871645\pi\) |
0.360061 | + | 0.932929i | \(0.382756\pi\) | |||||||
\(642\) | 36.1063 | − | 19.1981i | 1.42500 | − | 0.757687i | ||||
\(643\) | −8.60491 | + | 3.13193i | −0.339345 | + | 0.123511i | −0.506071 | − | 0.862492i | \(-0.668903\pi\) |
0.166726 | + | 0.986003i | \(0.446680\pi\) | |||||||
\(644\) | 15.4850 | − | 38.3267i | 0.610195 | − | 1.51028i | ||||
\(645\) | −13.7181 | − | 18.1287i | −0.540148 | − | 0.713816i | ||||
\(646\) | 7.60407 | + | 44.5779i | 0.299178 | + | 1.75390i | ||||
\(647\) | −7.01409 | + | 21.5871i | −0.275752 | + | 0.848678i | 0.713267 | + | 0.700892i | \(0.247215\pi\) |
−0.989019 | + | 0.147786i | \(0.952785\pi\) | |||||||
\(648\) | 54.6496 | + | 3.82147i | 2.14684 | + | 0.150122i | ||||
\(649\) | −13.5586 | + | 4.93491i | −0.532220 | + | 0.193712i | ||||
\(650\) | −18.6147 | + | 10.8470i | −0.730129 | + | 0.425456i | ||||
\(651\) | −3.75686 | + | 21.3062i | −0.147243 | + | 0.835056i | ||||
\(652\) | 47.3115 | − | 13.5664i | 1.85286 | − | 0.531300i | ||||
\(653\) | 11.1721 | − | 2.37471i | 0.437199 | − | 0.0929295i | 0.0159464 | − | 0.999873i | \(-0.494924\pi\) |
0.421253 | + | 0.906943i | \(0.361591\pi\) | |||||||
\(654\) | −3.32007 | − | 3.68731i | −0.129825 | − | 0.144185i | ||||
\(655\) | −9.18946 | + | 3.92247i | −0.359062 | + | 0.153264i | ||||
\(656\) | −12.2265 | − | 7.63997i | −0.477365 | − | 0.298291i | ||||
\(657\) | 8.99793 | − | 15.5849i | 0.351043 | − | 0.608024i | ||||
\(658\) | 5.25432 | − | 5.83551i | 0.204835 | − | 0.227492i | ||||
\(659\) | 6.43379 | + | 9.53849i | 0.250625 | + | 0.371567i | 0.933265 | − | 0.359188i | \(-0.116946\pi\) |
−0.682640 | + | 0.730754i | \(0.739168\pi\) | |||||||
\(660\) | 20.4015 | + | 20.3198i | 0.794127 | + | 0.790946i | ||||
\(661\) | −30.7873 | − | 29.7310i | −1.19749 | − | 1.15640i | −0.983757 | − | 0.179508i | \(-0.942549\pi\) |
−0.213731 | − | 0.976893i | \(-0.568562\pi\) | |||||||
\(662\) | −40.0493 | − | 11.4840i | −1.55656 | − | 0.446336i | ||||
\(663\) | 4.08499 | + | 16.3840i | 0.158648 | + | 0.636302i | ||||
\(664\) | −0.984343 | + | 0.715167i | −0.0381999 | + | 0.0277539i | ||||
\(665\) | −5.22079 | − | 13.7473i | −0.202454 | − | 0.533095i | ||||
\(666\) | −43.4225 | − | 31.5483i | −1.68259 | − | 1.22247i | ||||
\(667\) | 6.81212 | − | 16.8606i | 0.263766 | − | 0.652844i | ||||
\(668\) | 15.8751 | − | 5.77805i | 0.614224 | − | 0.223559i | ||||
\(669\) | 31.1903 | − | 16.5842i | 1.20589 | − | 0.641180i | ||||
\(670\) | −0.944328 | − | 5.88579i | −0.0364826 | − | 0.227388i | ||||
\(671\) | 11.2793 | − | 14.4368i | 0.435432 | − | 0.557327i | ||||
\(672\) | 3.06539 | − | 0.651569i | 0.118250 | − | 0.0251348i | ||||
\(673\) | −0.795486 | − | 7.56855i | −0.0306637 | − | 0.291746i | −0.999098 | − | 0.0424751i | \(-0.986476\pi\) |
0.968434 | − | 0.249271i | \(-0.0801910\pi\) | |||||||
\(674\) | 63.4190 | − | 53.2148i | 2.44281 | − | 2.04976i | ||||
\(675\) | 8.10870 | − | 0.885173i | 0.312104 | − | 0.0340703i | ||||
\(676\) | 20.3473 | − | 35.2426i | 0.782589 | − | 1.35548i | ||||
\(677\) | −7.00645 | − | 3.11947i | −0.269280 | − | 0.119891i | 0.267655 | − | 0.963515i | \(-0.413751\pi\) |
−0.536935 | + | 0.843624i | \(0.680418\pi\) | |||||||
\(678\) | 64.4690 | − | 82.5166i | 2.47592 | − | 3.16903i | ||||
\(679\) | 21.1004 | + | 11.2193i | 0.809759 | + | 0.430557i | ||||
\(680\) | −47.5633 | + | 9.34445i | −1.82397 | + | 0.358343i | ||||
\(681\) | 36.6487 | + | 46.9082i | 1.40438 | + | 1.79752i | ||||
\(682\) | −16.1334 | − | 13.5375i | −0.617778 | − | 0.518377i | ||||
\(683\) | 10.1991 | + | 31.3897i | 0.390259 | + | 1.20110i | 0.932592 | + | 0.360931i | \(0.117541\pi\) |
−0.542333 | + | 0.840164i | \(0.682459\pi\) | |||||||
\(684\) | −34.7496 | + | 21.4453i | −1.32868 | + | 0.819981i | ||||
\(685\) | −2.28003 | + | 0.790199i | −0.0871155 | + | 0.0301919i | ||||
\(686\) | 43.5419 | + | 3.04475i | 1.66244 | + | 0.116249i | ||||
\(687\) | 37.7794 | + | 10.8331i | 1.44138 | + | 0.413308i | ||||
\(688\) | 8.80644 | − | 18.0559i | 0.335742 | − | 0.688374i | ||||
\(689\) | −3.23787 | − | 6.63862i | −0.123353 | − | 0.252911i | ||||
\(690\) | −85.0237 | − | 1.31345i | −3.23680 | − | 0.0500020i | ||||
\(691\) | 2.20030 | − | 20.9345i | 0.0837034 | − | 0.796384i | −0.869475 | − | 0.493976i | \(-0.835543\pi\) |
0.953179 | − | 0.302408i | \(-0.0977904\pi\) | |||||||
\(692\) | 66.1760 | + | 14.0661i | 2.51563 | + | 0.534714i | ||||
\(693\) | −3.62441 | + | 3.04124i | −0.137680 | + | 0.115527i | ||||
\(694\) | 62.1866 | + | 38.8585i | 2.36057 | + | 1.47505i | ||||
\(695\) | 27.9995 | + | 15.4470i | 1.06208 | + | 0.585938i | ||||
\(696\) | 31.4878 | − | 6.69294i | 1.19354 | − | 0.253695i | ||||
\(697\) | −8.21067 | + | 10.5092i | −0.311001 | + | 0.398064i | ||||
\(698\) | 7.33028 | + | 15.0293i | 0.277455 | + | 0.568868i | ||||
\(699\) | 10.5494 | + | 59.8286i | 0.399015 | + | 2.26292i | ||||
\(700\) | 28.5566 | − | 11.6711i | 1.07934 | − | 0.441127i | ||||
\(701\) | 8.02000 | + | 6.72958i | 0.302911 | + | 0.254173i | 0.781555 | − | 0.623837i | \(-0.214427\pi\) |
−0.478644 | + | 0.878009i | \(0.658871\pi\) | |||||||
\(702\) | 5.68693 | − | 4.13179i | 0.214639 | − | 0.155945i | ||||
\(703\) | −41.3865 | − | 0.230934i | −1.56092 | − | 0.00870984i | ||||
\(704\) | 2.90261 | − | 8.93332i | 0.109396 | − | 0.336687i | ||||
\(705\) | −10.1353 | − | 3.86724i | −0.381716 | − | 0.145649i | ||||
\(706\) | −48.8314 | − | 62.5013i | −1.83779 | − | 2.35227i | ||||
\(707\) | −2.44634 | − | 13.8739i | −0.0920040 | − | 0.521780i | ||||
\(708\) | 98.1779 | − | 13.7980i | 3.68975 | − | 0.518561i | ||||
\(709\) | −6.00832 | − | 8.90770i | −0.225647 | − | 0.334536i | 0.699165 | − | 0.714961i | \(-0.253555\pi\) |
−0.924812 | + | 0.380425i | \(0.875778\pi\) | |||||||
\(710\) | −0.718902 | − | 3.08565i | −0.0269799 | − | 0.115802i | ||||
\(711\) | 1.45714 | + | 13.8638i | 0.0546472 | + | 0.519933i | ||||
\(712\) | −18.0966 | + | 1.26543i | −0.678197 | + | 0.0474242i | ||||
\(713\) | 41.6662 | − | 2.91359i | 1.56041 | − | 0.109115i | ||||
\(714\) | −3.76335 | − | 35.8059i | −0.140840 | − | 1.34000i | ||||
\(715\) | 5.32568 | + | 0.455171i | 0.199169 | + | 0.0170224i | ||||
\(716\) | 16.1281 | + | 23.9110i | 0.602737 | + | 0.893595i | ||||
\(717\) | 24.9269 | − | 3.50325i | 0.930912 | − | 0.130831i | ||||
\(718\) | −1.37597 | − | 7.80353i | −0.0513509 | − | 0.291225i | ||||
\(719\) | 10.8959 | + | 13.9461i | 0.406348 | + | 0.520102i | 0.947039 | − | 0.321120i | \(-0.104059\pi\) |
−0.540690 | + | 0.841222i | \(0.681837\pi\) | |||||||
\(720\) | −12.7186 | − | 19.4991i | −0.473993 | − | 0.726689i | ||||
\(721\) | 6.71402 | − | 20.6636i | 0.250043 | − | 0.769554i | ||||
\(722\) | −18.0479 | + | 43.2733i | −0.671672 | + | 1.61047i | ||||
\(723\) | 20.9776 | − | 15.2411i | 0.780167 | − | 0.566824i | ||||
\(724\) | −13.1859 | − | 11.0643i | −0.490051 | − | 0.411201i | ||||
\(725\) | 12.5625 | − | 5.13433i | 0.466560 | − | 0.190684i | ||||
\(726\) | 8.99489 | + | 51.0126i | 0.333832 | + | 1.89325i | ||||
\(727\) | 14.7846 | + | 30.3129i | 0.548331 | + | 1.12424i | 0.975485 | + | 0.220066i | \(0.0706272\pi\) |
−0.427154 | + | 0.904179i | \(0.640484\pi\) | |||||||
\(728\) | 8.36291 | − | 10.7040i | 0.309950 | − | 0.396718i | ||||
\(729\) | 12.7955 | − | 2.71976i | 0.473906 | − | 0.100732i | ||||
\(730\) | 43.0142 | − | 5.36911i | 1.59203 | − | 0.198720i | ||||
\(731\) | −15.7592 | − | 9.84743i | −0.582874 | − | 0.364220i | ||||
\(732\) | −96.4332 | + | 80.9171i | −3.56427 | + | 2.99078i | ||||
\(733\) | −9.35401 | − | 1.98826i | −0.345498 | − | 0.0734380i | 0.0318944 | − | 0.999491i | \(-0.489846\pi\) |
−0.377393 | + | 0.926053i | \(0.623179\pi\) | |||||||
\(734\) | −6.92730 | + | 65.9089i | −0.255691 | + | 2.43274i | ||||
\(735\) | −7.15001 | − | 23.2199i | −0.263732 | − | 0.856478i | ||||
\(736\) | −2.65224 | − | 5.43789i | −0.0977627 | − | 0.200443i | ||||
\(737\) | −0.648314 | + | 1.32924i | −0.0238809 | + | 0.0489632i | ||||
\(738\) | −17.2372 | − | 4.94269i | −0.634510 | − | 0.181943i | ||||
\(739\) | −49.5191 | − | 3.46271i | −1.82159 | − | 0.127378i | −0.882340 | − | 0.470612i | \(-0.844033\pi\) |
−0.939250 | + | 0.343234i | \(0.888478\pi\) | |||||||
\(740\) | −1.68948 | − | 86.8080i | −0.0621066 | − | 3.19112i | ||||
\(741\) | −5.50278 | + | 16.6197i | −0.202150 | + | 0.610540i | ||||
\(742\) | 4.86658 | + | 14.9778i | 0.178658 | + | 0.549852i | ||||
\(743\) | −4.65413 | − | 3.90528i | −0.170744 | − | 0.143271i | 0.553412 | − | 0.832908i | \(-0.313326\pi\) |
−0.724155 | + | 0.689637i | \(0.757770\pi\) | |||||||
\(744\) | 45.5215 | + | 58.2649i | 1.66890 | + | 2.13609i | ||||
\(745\) | −14.3967 | − | 6.67815i | −0.527454 | − | 0.244668i | ||||
\(746\) | −46.6912 | − | 24.8261i | −1.70948 | − | 0.908949i | ||||
\(747\) | −0.332798 | + | 0.425961i | −0.0121764 | + | 0.0155851i | ||||
\(748\) | 21.5018 | + | 9.57321i | 0.786183 | + | 0.350031i | ||||
\(749\) | −5.43474 | + | 9.41325i | −0.198581 | + | 0.343952i | ||||
\(750\) | −43.5586 | − | 46.1508i | −1.59054 | − | 1.68519i | ||||
\(751\) | 11.9836 | − | 10.0555i | 0.437289 | − | 0.366929i | −0.397405 | − | 0.917643i | \(-0.630089\pi\) |
0.834694 | + | 0.550714i | \(0.185645\pi\) | |||||||
\(752\) | −1.00200 | − | 9.53336i | −0.0365391 | − | 0.347646i | ||||
\(753\) | −35.8295 | + | 7.61580i | −1.30570 | + | 0.277535i | ||||
\(754\) | 7.20042 | − | 9.21611i | 0.262224 | − | 0.335631i | ||||
\(755\) | 34.1291 | + | 33.9924i | 1.24209 | + | 1.23711i | ||||
\(756\) | −8.88724 | + | 4.72543i | −0.323226 | + | 0.171862i | ||||
\(757\) | 41.2154 | − | 15.0012i | 1.49800 | − | 0.545227i | 0.542456 | − | 0.840084i | \(-0.317494\pi\) |
0.955541 | + | 0.294857i | \(0.0952721\pi\) | |||||||
\(758\) | 8.07148 | − | 19.9776i | 0.293169 | − | 0.725619i | ||||
\(759\) | 17.0674 | + | 12.4002i | 0.619509 | + | 0.450099i | ||||
\(760\) | −46.8538 | − | 18.1778i | −1.69956 | − | 0.659379i | ||||
\(761\) | −31.7014 | + | 23.0324i | −1.14918 | + | 0.834925i | −0.988371 | − | 0.152062i | \(-0.951409\pi\) |
−0.160804 | + | 0.986986i | \(0.551409\pi\) | |||||||
\(762\) | 13.8554 | + | 55.5709i | 0.501927 | + | 2.01312i | ||||
\(763\) | 1.26776 | + | 0.363526i | 0.0458962 | + | 0.0131605i | ||||
\(764\) | −33.4427 | − | 32.2953i | −1.20992 | − | 1.16840i | ||||
\(765\) | −19.1682 | + | 9.81518i | −0.693027 | + | 0.354868i | ||||
\(766\) | −35.2708 | − | 52.2911i | −1.27439 | − | 1.88935i | ||||
\(767\) | 12.3146 | − | 13.6767i | 0.444654 | − | 0.493839i | ||||
\(768\) | −37.3966 | + | 64.7728i | −1.34943 | + | 2.33729i | ||||
\(769\) | −14.1299 | − | 8.82934i | −0.509537 | − | 0.318394i | 0.250673 | − | 0.968072i | \(-0.419348\pi\) |
−0.760210 | + | 0.649678i | \(0.774904\pi\) | |||||||
\(770\) | −11.1097 | − | 2.54141i | −0.400367 | − | 0.0915862i | ||||
\(771\) | 40.8844 | + | 45.4067i | 1.47242 | + | 1.63528i | ||||
\(772\) | 71.9153 | − | 15.2861i | 2.58829 | − | 0.550158i | ||||
\(773\) | −0.397931 | + | 0.114105i | −0.0143126 | + | 0.00410407i | −0.282786 | − | 0.959183i | \(-0.591259\pi\) |
0.268473 | + | 0.963287i | \(0.413481\pi\) | |||||||
\(774\) | 4.33882 | − | 24.6067i | 0.155956 | − | 0.884468i | ||||
\(775\) | 23.2484 | + | 20.7646i | 0.835106 | + | 0.745886i | ||||
\(776\) | 76.7470 | − | 27.9336i | 2.75506 | − | 1.00276i | ||||
\(777\) | 32.8698 | + | 2.29848i | 1.17920 | + | 0.0824576i | ||||
\(778\) | 3.64291 | − | 11.2117i | 0.130605 | − | 0.401960i | ||||
\(779\) | −13.0194 | + | 4.65659i | −0.466470 | + | 0.166840i | ||||
\(780\) | −35.1440 | − | 10.6675i | −1.25836 | − | 0.381959i | ||||
\(781\) | −0.294455 | + | 0.728802i | −0.0105364 | + | 0.0260786i | ||||
\(782\) | −65.3153 | + | 23.7728i | −2.33567 | + | 0.850114i | ||||
\(783\) | −3.90965 | + | 2.07880i | −0.139719 | + | 0.0742901i | ||||
\(784\) | 15.4436 | − | 14.9137i | 0.551556 | − | 0.532631i | ||||
\(785\) | −42.9432 | + | 30.1978i | −1.53271 | + | 1.07780i | ||||
\(786\) | −23.1702 | − | 10.3160i | −0.826452 | − | 0.367960i | ||||
\(787\) | −21.9442 | + | 9.77017i | −0.782225 | + | 0.348269i | −0.758688 | − | 0.651454i | \(-0.774159\pi\) |
−0.0235366 | + | 0.999723i | \(0.507493\pi\) | |||||||
\(788\) | 73.7453 | − | 5.15677i | 2.62707 | − | 0.183702i | ||||
\(789\) | −1.45754 | + | 5.84588i | −0.0518898 | + | 0.208119i | ||||
\(790\) | −24.5119 | + | 22.9499i | −0.872095 | + | 0.816520i | ||||
\(791\) | −2.90940 | + | 27.6811i | −0.103447 | + | 0.984228i | ||||
\(792\) | −0.564316 | + | 16.1599i | −0.0200521 | + | 0.574217i | ||||
\(793\) | −4.05781 | + | 23.0130i | −0.144097 | + | 0.817214i | ||||
\(794\) | −64.7076 | + | 34.4056i | −2.29639 | + | 1.22101i | ||||
\(795\) | 16.8803 | − | 13.7256i | 0.598684 | − | 0.486797i | ||||
\(796\) | 13.0383 | − | 8.14726i | 0.462132 | − | 0.288772i | ||||
\(797\) | 3.50983 | − | 10.8021i | 0.124324 | − | 0.382631i | −0.869453 | − | 0.494016i | \(-0.835528\pi\) |
0.993777 | + | 0.111384i | \(0.0355285\pi\) | |||||||
\(798\) | 16.5505 | − | 33.4584i | 0.585882 | − | 1.18442i | ||||
\(799\) | −8.86720 | −0.313699 | ||||||||
\(800\) | 1.52727 | − | 4.24912i | 0.0539972 | − | 0.150229i | ||||
\(801\) | −7.57339 | + | 2.75649i | −0.267593 | + | 0.0973957i | ||||
\(802\) | 26.4961 | + | 25.5870i | 0.935610 | + | 0.903508i | ||||
\(803\) | −9.49561 | − | 5.04890i | −0.335093 | − | 0.178172i | ||||
\(804\) | 6.25631 | − | 8.00771i | 0.220643 | − | 0.282410i | ||||
\(805\) | 19.3505 | − | 11.6799i | 0.682017 | − | 0.411662i | ||||
\(806\) | 26.2759 | + | 5.58511i | 0.925527 | + | 0.196727i | ||||
\(807\) | 23.9530 | − | 20.0989i | 0.843184 | − | 0.707515i | ||||
\(808\) | −40.8307 | − | 25.5138i | −1.43642 | − | 0.897574i | ||||
\(809\) | −22.8195 | + | 10.1599i | −0.802291 | + | 0.357203i | −0.766572 | − | 0.642159i | \(-0.778039\pi\) |
−0.0357194 | + | 0.999362i | \(0.511372\pi\) | |||||||
\(810\) | 44.3229 | + | 38.3734i | 1.55735 | + | 1.34830i | ||||
\(811\) | −30.9019 | + | 8.86098i | −1.08511 | + | 0.311151i | −0.770091 | − | 0.637933i | \(-0.779789\pi\) |
−0.315021 | + | 0.949085i | \(0.602012\pi\) | |||||||
\(812\) | −12.0465 | + | 11.6332i | −0.422750 | + | 0.408245i | ||||
\(813\) | 14.5565 | − | 29.8452i | 0.510518 | − | 1.04672i | ||||
\(814\) | −17.9364 | + | 26.5918i | −0.628669 | + | 0.932041i | ||||
\(815\) | 25.1436 | + | 9.59387i | 0.880741 | + | 0.336059i | ||||
\(816\) | −35.5569 | − | 25.8336i | −1.24474 | − | 0.904357i | ||||
\(817\) | −8.34923 | − | 17.3637i | −0.292103 | − | 0.607479i | ||||
\(818\) | 56.2640 | 1.96722 | ||||||||
\(819\) | 2.26069 | − | 5.59540i | 0.0789948 | − | 0.195519i | ||||
\(820\) | −10.4497 | − | 27.0599i | −0.364918 | − | 0.944971i | ||||
\(821\) | −19.1971 | − | 2.69797i | −0.669983 | − | 0.0941600i | −0.204023 | − | 0.978966i | \(-0.565402\pi\) |
−0.465960 | + | 0.884806i | \(0.654291\pi\) | |||||||
\(822\) | −5.40843 | − | 2.87571i | −0.188641 | − | 0.100302i | ||||
\(823\) | 18.5153 | − | 5.30919i | 0.645404 | − | 0.185067i | 0.0630611 | − | 0.998010i | \(-0.479914\pi\) |
0.582343 | + | 0.812943i | \(0.302136\pi\) | |||||||
\(824\) | −37.1270 | − | 64.3059i | −1.29338 | − | 2.24020i | ||||
\(825\) | 2.25373 | + | 15.5822i | 0.0784649 | + | 0.542501i | ||||
\(826\) | −30.0599 | + | 25.2232i | −1.04592 | + | 0.877629i | ||||
\(827\) | 12.1589 | − | 48.7668i | 0.422807 | − | 1.69579i | −0.260349 | − | 0.965515i | \(-0.583838\pi\) |
0.683156 | − | 0.730272i | \(-0.260607\pi\) | |||||||
\(828\) | −41.9968 | − | 46.6422i | −1.45949 | − | 1.62093i | ||||
\(829\) | −15.0619 | + | 3.20152i | −0.523123 | + | 0.111193i | −0.461902 | − | 0.886931i | \(-0.652833\pi\) |
−0.0612211 | + | 0.998124i | \(0.519499\pi\) | |||||||
\(830\) | −1.30191 | − | 0.0201120i | −0.0451901 | − | 0.000698097i | ||||
\(831\) | 20.8880 | − | 2.93561i | 0.724595 | − | 0.101835i | ||||
\(832\) | 2.08046 | + | 11.7989i | 0.0721269 | + | 0.409052i | ||||
\(833\) | −12.2267 | − | 15.6495i | −0.423631 | − | 0.542223i | ||||
\(834\) | 19.6376 | + | 78.7620i | 0.679994 | + | 2.72731i | ||||
\(835\) | 8.83909 | + | 2.68300i | 0.305889 | + | 0.0928490i | ||||
\(836\) | 13.5328 | + | 20.3067i | 0.468041 | + | 0.702321i | ||||
\(837\) | −8.22805 | − | 5.97803i | −0.284403 | − | 0.206631i | ||||
\(838\) | 7.28267 | + | 29.2092i | 0.251576 | + | 1.00901i | ||||
\(839\) | −18.3381 | + | 27.1874i | −0.633102 | + | 0.938612i | 0.366863 | + | 0.930275i | \(0.380432\pi\) |
−0.999965 | + | 0.00833729i | \(0.997346\pi\) | |||||||
\(840\) | 36.2965 | + | 16.8367i | 1.25235 | + | 0.580923i | ||||
\(841\) | 15.5614 | − | 15.0275i | 0.536599 | − | 0.518188i | ||||
\(842\) | 1.40213 | − | 40.1519i | 0.0483207 | − | 1.38372i | ||||
\(843\) | 20.1830 | + | 34.9580i | 0.695139 | + | 1.20402i | ||||
\(844\) | −44.1315 | − | 9.38043i | −1.51907 | − | 0.322888i | ||||
\(845\) | 20.4648 | − | 8.73531i | 0.704012 | − | 0.300504i | ||||
\(846\) | −4.46632 | − | 11.0545i | −0.153555 | − | 0.380063i | ||||
\(847\) | −9.21292 | − | 10.2320i | −0.316560 | − | 0.351575i | ||||
\(848\) | 17.5630 | + | 7.81954i | 0.603115 | + | 0.268524i | ||||
\(849\) | −28.4255 | − | 10.3460i | −0.975561 | − | 0.355075i | ||||
\(850\) | −46.7140 | − | 22.5523i | −1.60228 | − | 0.773539i | ||||
\(851\) | −11.0463 | − | 62.6465i | −0.378661 | − | 2.14750i | ||||
\(852\) | 3.02022 | − | 4.47766i | 0.103471 | − | 0.153402i | ||||
\(853\) | −7.43260 | + | 4.64441i | −0.254487 | + | 0.159021i | −0.651164 | − | 0.758937i | \(-0.725719\pi\) |
0.396677 | + | 0.917958i | \(0.370163\pi\) | |||||||
\(854\) | 15.3967 | − | 47.3861i | 0.526864 | − | 1.62152i | ||||
\(855\) | −22.2355 | − | 2.02544i | −0.760438 | − | 0.0692686i | ||||
\(856\) | 11.4792 | + | 35.3293i | 0.392350 | + | 1.20753i | ||||
\(857\) | 20.3696 | + | 17.0921i | 0.695811 | + | 0.583855i | 0.920579 | − | 0.390557i | \(-0.127718\pi\) |
−0.224767 | + | 0.974412i | \(0.572162\pi\) | |||||||
\(858\) | 8.35337 | + | 10.6918i | 0.285179 | + | 0.365013i | ||||
\(859\) | −10.0240 | + | 20.5523i | −0.342015 | + | 0.701235i | −0.998593 | − | 0.0530233i | \(-0.983114\pi\) |
0.656578 | + | 0.754258i | \(0.272003\pi\) | |||||||
\(860\) | 35.9767 | − | 18.4221i | 1.22680 | − | 0.628187i | ||||
\(861\) | 10.5820 | − | 3.03433i | 0.360632 | − | 0.103410i | ||||
\(862\) | 1.44763 | − | 13.7732i | 0.0493063 | − | 0.469118i | ||||
\(863\) | 39.1465 | − | 17.4292i | 1.33256 | − | 0.593295i | 0.388010 | − | 0.921655i | \(-0.373162\pi\) |
0.944553 | + | 0.328360i | \(0.106496\pi\) | |||||||
\(864\) | −0.356403 | + | 1.42945i | −0.0121251 | + | 0.0486310i | ||||
\(865\) | 24.3251 | + | 27.8697i | 0.827080 | + | 0.947600i | ||||
\(866\) | 26.9146 | − | 11.9831i | 0.914594 | − | 0.407204i | ||||
\(867\) | −1.03908 | + | 1.15401i | −0.0352889 | + | 0.0391923i | ||||
\(868\) | −36.1452 | − | 13.1558i | −1.22685 | − | 0.446536i | ||||
\(869\) | 8.24966 | − | 1.15941i | 0.279851 | − | 0.0393304i | ||||
\(870\) | 31.2510 | + | 14.4963i | 1.05951 | + | 0.491472i | ||||
\(871\) | −0.0658331 | − | 1.88521i | −0.00223067 | − | 0.0638780i | ||||
\(872\) | 3.82241 | − | 2.38851i | 0.129443 | − | 0.0808851i | ||||
\(873\) | 29.3551 | − | 21.3277i | 0.993518 | − | 0.721833i | ||||
\(874\) | −70.4055 | − | 15.3763i | −2.38150 | − | 0.520109i | ||||
\(875\) | 16.3193 | + | 4.26761i | 0.551692 | + | 0.144272i | ||||
\(876\) | 56.6076 | + | 47.4995i | 1.91260 | + | 1.60486i | ||||
\(877\) | 20.1279 | − | 29.8408i | 0.679670 | − | 1.00765i | −0.318544 | − | 0.947908i | \(-0.603194\pi\) |
0.998214 | − | 0.0597440i | \(-0.0190284\pi\) | |||||||
\(878\) | 81.0714 | + | 11.3938i | 2.73603 | + | 0.384524i | ||||
\(879\) | −48.7564 | − | 25.9242i | −1.64451 | − | 0.874402i | ||||
\(880\) | −11.3804 | + | 8.00275i | −0.383634 | + | 0.269773i | ||||
\(881\) | −2.82699 | + | 3.13970i | −0.0952439 | + | 0.105779i | −0.788882 | − | 0.614544i | \(-0.789340\pi\) |
0.693638 | + | 0.720323i | \(0.256007\pi\) | |||||||
\(882\) | 13.3514 | − | 23.1253i | 0.449565 | − | 0.778669i | ||||
\(883\) | −9.63354 | − | 6.01971i | −0.324195 | − | 0.202579i | 0.358052 | − | 0.933702i | \(-0.383441\pi\) |
−0.682246 | + | 0.731123i | \(0.738997\pi\) | |||||||
\(884\) | −29.9479 | + | 2.09416i | −1.00726 | + | 0.0704343i | ||||
\(885\) | 47.4655 | + | 26.1862i | 1.59554 | + | 0.880240i | ||||
\(886\) | −35.5165 | − | 15.8129i | −1.19320 | − | 0.531246i | ||||
\(887\) | 16.9227 | + | 25.0889i | 0.568207 | + | 0.842402i | 0.998172 | − | 0.0604441i | \(-0.0192517\pi\) |
−0.429964 | + | 0.902846i | \(0.641474\pi\) | |||||||
\(888\) | 81.0048 | − | 78.2255i | 2.71834 | − | 2.62507i | ||||
\(889\) | −10.9506 | − | 10.5749i | −0.367271 | − | 0.354670i | ||||
\(890\) | −16.3026 | − | 10.5406i | −0.546464 | − | 0.353321i | ||||
\(891\) | −3.51873 | − | 14.1129i | −0.117882 | − | 0.472799i | ||||
\(892\) | 19.4078 | + | 59.7310i | 0.649821 | + | 1.99994i | ||||
\(893\) | −7.76925 | − | 4.91525i | −0.259988 | − | 0.164483i | ||||
\(894\) | −12.4488 | − | 38.3135i | −0.416351 | − | 1.28140i | ||||
\(895\) | −0.793751 | + | 15.7503i | −0.0265322 | + | 0.526474i | ||||
\(896\) | −0.986619 | − | 28.2531i | −0.0329606 | − | 0.943869i | ||||
\(897\) | −26.6468 | − | 3.74497i | −0.889711 | − | 0.125041i | ||||
\(898\) | −43.5898 | − | 89.3722i | −1.45461 | − | 2.98239i | ||||
\(899\) | −15.9009 | − | 5.78744i | −0.530324 | − | 0.193022i | ||||
\(900\) | 3.07986 | − | 46.7387i | 0.102662 | − | 1.55796i | ||||
\(901\) | 8.89186 | − | 15.4012i | 0.296231 | − | 0.513087i | ||||
\(902\) | −2.59248 | + | 10.3979i | −0.0863201 | + | 0.346211i | ||||
\(903\) | 5.74614 | + | 14.2222i | 0.191219 | + | 0.473285i | ||||
\(904\) | 63.6503 | + | 70.6908i | 2.11698 | + | 2.35114i | ||||
\(905\) | −2.13559 | − | 9.16631i | −0.0709894 | − | 0.304698i | ||||
\(906\) | −4.26731 | + | 122.200i | −0.141772 | + | 4.05981i | ||||
\(907\) | 6.63432 | − | 37.6251i | 0.220289 | − | 1.24932i | −0.651200 | − | 0.758906i | \(-0.725734\pi\) |
0.871489 | − | 0.490415i | \(-0.163155\pi\) | |||||||
\(908\) | −93.4460 | + | 49.6861i | −3.10112 | + | 1.64889i | ||||
\(909\) | −20.5616 | − | 5.89595i | −0.681986 | − | 0.195556i | ||||
\(910\) | 14.0336 | − | 3.79050i | 0.465211 | − | 0.125654i | ||||
\(911\) | 29.9665 | − | 21.7719i | 0.992833 | − | 0.721336i | 0.0322934 | − | 0.999478i | \(-0.489719\pi\) |
0.960540 | + | 0.278143i | \(0.0897189\pi\) | |||||||
\(912\) | −16.8341 | − | 42.3447i | −0.557434 | − | 1.40217i | ||||
\(913\) | 0.261343 | + | 0.189877i | 0.00864919 | + | 0.00628401i | ||||
\(914\) | −97.1814 | − | 6.79559i | −3.21448 | − | 0.224778i | ||||
\(915\) | −68.7301 | + | 3.74029i | −2.27215 | + | 0.123650i | ||||
\(916\) | −30.6313 | + | 62.8035i | −1.01209 | + | 2.07509i | ||||
\(917\) | 6.67594 | − | 0.938242i | 0.220459 | − | 0.0309835i | ||||
\(918\) | 15.9042 | + | 5.78864i | 0.524916 | + | 0.191054i | ||||
\(919\) | 6.06720 | − | 6.73831i | 0.200139 | − | 0.222276i | −0.634718 | − | 0.772744i | \(-0.718884\pi\) |
0.834857 | + | 0.550467i | \(0.185550\pi\) | |||||||
\(920\) | 14.5869 | − | 75.8555i | 0.480917 | − | 2.50088i | ||||
\(921\) | 20.4888 | + | 50.7116i | 0.675129 | + | 1.67100i | ||||
\(922\) | −8.46285 | − | 20.9463i | −0.278709 | − | 0.689829i | ||||
\(923\) | −0.104800 | − | 0.997102i | −0.00344952 | − | 0.0328200i | ||||
\(924\) | −9.71408 | − | 16.8253i | −0.319570 | − | 0.553511i | ||||
\(925\) | 27.7503 | − | 38.5192i | 0.912425 | − | 1.26650i | ||||
\(926\) | 11.9824 | − | 67.9556i | 0.393767 | − | 2.23316i | ||||
\(927\) | −23.7303 | − | 22.9161i | −0.779406 | − | 0.752664i | ||||
\(928\) | 0.0855423 | + | 2.44961i | 0.00280807 | + | 0.0804125i | ||||
\(929\) | 16.6048 | − | 10.3758i | 0.544784 | − | 0.340419i | −0.229448 | − | 0.973321i | \(-0.573692\pi\) |
0.774232 | + | 0.632902i | \(0.218136\pi\) | |||||||
\(930\) | 1.53968 | + | 79.1112i | 0.0504882 | + | 2.59416i | ||||
\(931\) | −2.03798 | − | 20.4893i | −0.0667922 | − | 0.671508i | ||||
\(932\) | −108.011 | −3.53801 | ||||||||
\(933\) | 13.1641 | − | 32.5823i | 0.430973 | − | 1.06670i | ||||
\(934\) | 31.4359 | + | 9.01410i | 1.02861 | + | 0.294950i | ||||
\(935\) | 6.26181 | + | 11.2433i | 0.204783 | + | 0.367697i | ||||
\(936\) | −9.04122 | − | 18.5372i | −0.295522 | − | 0.605909i | ||||
\(937\) | −1.65108 | − | 2.44783i | −0.0539385 | − | 0.0799671i | 0.801104 | − | 0.598526i | \(-0.204247\pi\) |
−0.855042 | + | 0.518559i | \(0.826469\pi\) | |||||||
\(938\) | −0.420420 | + | 4.00003i | −0.0137272 | + | 0.130606i | ||||
\(939\) | −6.86997 | − | 65.3634i | −0.224193 | − | 2.13305i | ||||
\(940\) | 9.90022 | − | 16.5519i | 0.322910 | − | 0.539862i | ||||
\(941\) | −15.1817 | + | 1.06161i | −0.494910 | + | 0.0346075i | −0.315031 | − | 0.949081i | \(-0.602015\pi\) |
−0.179879 | + | 0.983689i | \(0.557571\pi\) | |||||||
\(942\) | −130.350 | − | 27.7067i | −4.24703 | − | 0.902733i | ||||
\(943\) | −10.6263 | − | 18.4053i | −0.346041 | − | 0.599360i | ||||
\(944\) | −1.67178 | + | 47.8735i | −0.0544118 | + | 1.55815i | ||||
\(945\) | −5.43758 | − | 0.850047i | −0.176884 | − | 0.0276520i | ||||
\(946\) | −14.7866 | − | 2.07813i | −0.480755 | − | 0.0675657i | ||||
\(947\) | 0.335241 | + | 9.60005i | 0.0108939 | + | 0.311960i | 0.992590 | + | 0.121508i | \(0.0387730\pi\) |
−0.981697 | + | 0.190452i | \(0.939005\pi\) | |||||||
\(948\) | −57.1028 | − | 3.99302i | −1.85461 | − | 0.129687i | ||||
\(949\) | 13.7173 | 0.445283 | ||||||||
\(950\) | −28.4286 | − | 45.6543i | −0.922347 | − | 1.48122i | ||||
\(951\) | 36.5679 | 1.18579 | ||||||||
\(952\) | 32.6258 | + | 2.28142i | 1.05741 | + | 0.0739412i | ||||
\(953\) | 0.638993 | + | 18.2984i | 0.0206990 | + | 0.592742i | 0.964785 | + | 0.263041i | \(0.0847255\pi\) |
−0.944086 | + | 0.329701i | \(0.893052\pi\) | |||||||
\(954\) | 23.6790 | + | 3.32787i | 0.766637 | + | 0.107744i | ||||
\(955\) | −4.02701 | − | 25.0995i | −0.130311 | − | 0.812201i | ||||
\(956\) | −1.56187 | + | 44.7261i | −0.0505144 | + | 1.44654i | ||||
\(957\) | −4.27339 | − | 7.40173i | −0.138139 | − | 0.239264i | ||||
\(958\) | −94.5537 | − | 20.0980i | −3.05489 | − | 0.649337i | ||||
\(959\) | 1.62419 | − | 0.113575i | 0.0524479 | − | 0.00366751i | ||||
\(960\) | −32.4572 | + | 13.8542i | −1.04755 | + | 0.447142i | ||||
\(961\) | −0.822240 | − | 7.82310i | −0.0265239 | − | 0.252358i | ||||
\(962\) | 4.27651 | − | 40.6883i | 0.137880 | − | 1.31184i | ||||
\(963\) | 9.22868 | + | 13.6821i | 0.297390 | + | 0.440899i | ||||
\(964\) | 20.2093 | + | 41.4352i | 0.650897 | + | 1.33454i | ||||
\(965\) | 36.4682 | + | 16.9164i | 1.17395 | + | 0.544558i | ||||
\(966\) | 55.1516 | + | 15.8145i | 1.77447 | + | 0.508822i | ||||
\(967\) | −7.27590 | + | 18.0085i | −0.233977 | + | 0.579114i | −0.997799 | − | 0.0663135i | \(-0.978876\pi\) |
0.763822 | + | 0.645427i | \(0.223321\pi\) | |||||||
\(968\) | −47.0550 | −1.51241 | ||||||||
\(969\) | −40.5832 | + | 11.3924i | −1.30372 | + | 0.365975i | ||||
\(970\) | 83.6341 | + | 25.3861i | 2.68533 | + | 0.815099i | ||||
\(971\) | −39.1279 | + | 24.4498i | −1.25567 | + | 0.784631i | −0.984071 | − | 0.177778i | \(-0.943109\pi\) |
−0.271602 | + | 0.962410i | \(0.587553\pi\) | |||||||
\(972\) | 2.78940 | + | 79.8780i | 0.0894701 | + | 2.56209i | ||||
\(973\) | −15.5206 | − | 14.9880i | −0.497566 | − | 0.480494i | ||||
\(974\) | −7.27465 | + | 41.2566i | −0.233095 | + | 1.32195i | ||||
\(975\) | −11.8690 | − | 16.1991i | −0.380111 | − | 0.518787i | ||||
\(976\) | −30.4118 | − | 52.6747i | −0.973456 | − | 1.68608i | ||||
\(977\) | 2.09631 | + | 19.9451i | 0.0670670 | + | 0.638099i | 0.975489 | + | 0.220046i | \(0.0706208\pi\) |
−0.908422 | + | 0.418053i | \(0.862713\pi\) | |||||||
\(978\) | 25.5906 | + | 63.3391i | 0.818299 | + | 2.02536i | ||||
\(979\) | 1.80424 | + | 4.46566i | 0.0576639 | + | 0.142723i | ||||
\(980\) | 42.8631 | − | 5.35025i | 1.36921 | − | 0.170908i | ||||
\(981\) | 1.33991 | − | 1.48813i | 0.0427802 | − | 0.0475122i | ||||
\(982\) | 22.6219 | + | 8.23371i | 0.721895 | + | 0.262748i | ||||
\(983\) | −5.26498 | + | 0.739944i | −0.167927 | + | 0.0236006i | −0.222635 | − | 0.974902i | \(-0.571466\pi\) |
0.0547086 | + | 0.998502i | \(0.482577\pi\) | |||||||
\(984\) | 16.4925 | − | 33.8146i | 0.525761 | − | 1.07797i | ||||
\(985\) | 33.9442 | + | 21.9469i | 1.08155 | + | 0.699287i | ||||
\(986\) | 28.0906 | + | 1.96429i | 0.894588 | + | 0.0625557i | ||||
\(987\) | 5.92150 | + | 4.30222i | 0.188483 | + | 0.136941i | ||||
\(988\) | −27.4006 | − | 14.7658i | −0.871728 | − | 0.469764i | ||||
\(989\) | 23.9578 | − | 17.4064i | 0.761814 | − | 0.553490i | ||||
\(990\) | −10.8628 | + | 13.4696i | −0.345243 | + | 0.428093i | ||||
\(991\) | −6.00440 | − | 1.72173i | −0.190736 | − | 0.0546927i | 0.178909 | − | 0.983866i | \(-0.442743\pi\) |
−0.369645 | + | 0.929173i | \(0.620521\pi\) | |||||||
\(992\) | −4.97089 | + | 2.64307i | −0.157826 | + | 0.0839174i | ||||
\(993\) | 6.74361 | − | 38.2449i | 0.214002 | − | 1.21366i | ||||
\(994\) | −0.0746051 | + | 2.13641i | −0.00236633 | + | 0.0677628i | ||||
\(995\) | 8.37602 | + | 0.715874i | 0.265538 | + | 0.0226947i | ||||
\(996\) | −1.48524 | − | 1.64953i | −0.0470617 | − | 0.0522673i | ||||
\(997\) | 14.5798 | + | 36.0862i | 0.461746 | + | 1.14286i | 0.961035 | + | 0.276427i | \(0.0891504\pi\) |
−0.499288 | + | 0.866436i | \(0.666405\pi\) | |||||||
\(998\) | −7.33162 | + | 29.4055i | −0.232079 | + | 0.930816i | ||||
\(999\) | −7.74483 | + | 13.4144i | −0.245035 | + | 0.424414i |
(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 | 475.2.bc.a.111.4 | yes | 1152 | |
19.6 | even | 9 | inner | 475.2.bc.a.386.4 | yes | 1152 | |
25.16 | even | 5 | inner | 475.2.bc.a.16.4 | ✓ | 1152 | |
475.291 | even | 45 | inner | 475.2.bc.a.291.4 | yes | 1152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.bc.a.16.4 | ✓ | 1152 | 25.16 | even | 5 | inner | |
475.2.bc.a.111.4 | yes | 1152 | 1.1 | even | 1 | trivial | |
475.2.bc.a.291.4 | yes | 1152 | 475.291 | even | 45 | inner | |
475.2.bc.a.386.4 | yes | 1152 | 19.6 | even | 9 | inner |