Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [495,2,Mod(64,495)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(495, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("495.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 495.ba (of order \(10\), degree \(4\), 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: | \(3.95259490005\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 379.2 | ||
Character | \(\chi\) | \(=\) | 495.379 |
Dual form | 495.2.ba.b.64.2 |
$q$-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 \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.32725 | + | 0.756170i | −1.64562 | + | 0.534693i | −0.977783 | − | 0.209618i | \(-0.932778\pi\) |
−0.667833 | + | 0.744311i | \(0.732778\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.22628 | − | 2.34403i | 1.61314 | − | 1.17201i | ||||
\(5\) | 0.00315652 | − | 2.23607i | 0.00141164 | − | 0.999999i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.207582 | + | 0.285712i | 0.0784586 | + | 0.107989i | 0.846442 | − | 0.532480i | \(-0.178740\pi\) |
−0.767984 | + | 0.640469i | \(0.778740\pi\) | |||||||
\(8\) | −2.85924 | + | 3.93540i | −1.01089 | + | 1.39138i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.68350 | + | 5.20628i | 0.532370 | + | 1.64637i | ||||
\(11\) | −0.393463 | + | 3.29320i | −0.118634 | + | 0.992938i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.50669 | − | 1.13939i | 0.972580 | − | 0.316010i | 0.220723 | − | 0.975337i | \(-0.429158\pi\) |
0.751857 | + | 0.659326i | \(0.229158\pi\) | |||||||
\(14\) | −0.699143 | − | 0.507957i | −0.186854 | − | 0.135757i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.21368 | − | 3.73532i | 0.303420 | − | 0.933829i | ||||
\(17\) | 1.37802 | + | 0.447747i | 0.334219 | + | 0.108594i | 0.471319 | − | 0.881963i | \(-0.343778\pi\) |
−0.137100 | + | 0.990557i | \(0.543778\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.0752559 | + | 0.0546766i | 0.0172649 | + | 0.0125437i | 0.596384 | − | 0.802699i | \(-0.296603\pi\) |
−0.579119 | + | 0.815243i | \(0.696603\pi\) | |||||||
\(20\) | −5.23122 | − | 7.22157i | −1.16974 | − | 1.61479i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.57453 | − | 7.96164i | −0.335692 | − | 1.69743i | ||||
\(23\) | − | 4.86443i | − | 1.01430i | −0.861857 | − | 0.507152i | \(-0.830698\pi\) | ||
0.861857 | − | 0.507152i | \(-0.169302\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.99998 | − | 0.0141164i | −0.999996 | − | 0.00282327i | ||||
\(26\) | −7.29937 | + | 5.30330i | −1.43152 | + | 1.04006i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.33944 | + | 0.435209i | 0.253129 | + | 0.0822467i | ||||
\(29\) | 5.41495 | − | 3.93419i | 1.00553 | − | 0.730561i | 0.0422634 | − | 0.999107i | \(-0.486543\pi\) |
0.963267 | + | 0.268546i | \(0.0865431\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.21511 | − | 3.73973i | −0.218240 | − | 0.671674i | −0.998908 | − | 0.0467277i | \(-0.985121\pi\) |
0.780667 | − | 0.624947i | \(-0.214879\pi\) | |||||||
\(32\) | − | 0.118080i | − | 0.0208738i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.54558 | −0.608062 | ||||||||
\(35\) | 0.639527 | − | 0.463265i | 0.108100 | − | 0.0783061i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.57856 | − | 6.30185i | −0.752711 | − | 1.03602i | −0.997786 | − | 0.0665132i | \(-0.978813\pi\) |
0.245075 | − | 0.969504i | \(-0.421187\pi\) | |||||||
\(38\) | −0.216484 | − | 0.0703400i | −0.0351184 | − | 0.0114107i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 8.79080 | + | 6.40587i | 1.38995 | + | 1.01286i | ||||
\(41\) | 6.90591 | + | 5.01744i | 1.07852 | + | 0.783592i | 0.977425 | − | 0.211284i | \(-0.0677647\pi\) |
0.101097 | + | 0.994877i | \(0.467765\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.13377i | 1.24039i | 0.784448 | + | 0.620194i | \(0.212946\pi\) | ||||
−0.784448 | + | 0.620194i | \(0.787054\pi\) | |||||||
\(44\) | 6.44994 | + | 11.5471i | 0.972365 | + | 1.74079i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.67834 | + | 11.3208i | 0.542341 | + | 1.66915i | ||||
\(47\) | 4.54783 | − | 6.25956i | 0.663370 | − | 0.913050i | −0.336217 | − | 0.941784i | \(-0.609148\pi\) |
0.999587 | + | 0.0287344i | \(0.00914771\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.12458 | − | 6.53878i | 0.303511 | − | 0.934111i | ||||
\(50\) | 11.6469 | − | 3.74798i | 1.64712 | − | 0.530045i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 8.64278 | − | 11.8958i | 1.19854 | − | 1.64965i | ||||
\(53\) | 12.6118 | − | 4.09781i | 1.73236 | − | 0.562878i | 0.738573 | − | 0.674173i | \(-0.235500\pi\) |
0.993787 | + | 0.111295i | \(0.0354999\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.36258 | + | 0.890205i | 0.992770 | + | 0.120035i | ||||
\(56\) | −1.71792 | −0.229567 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.62703 | + | 13.2505i | −1.26409 | + | 1.73987i | ||||
\(59\) | −7.18751 | + | 5.22203i | −0.935734 | + | 0.679850i | −0.947390 | − | 0.320082i | \(-0.896290\pi\) |
0.0116562 | + | 0.999932i | \(0.496290\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.08181 | − | 9.48482i | 0.394585 | − | 1.21441i | −0.534700 | − | 0.845042i | \(-0.679575\pi\) |
0.929284 | − | 0.369365i | \(-0.120425\pi\) | |||||||
\(62\) | 5.65574 | + | 7.78446i | 0.718279 | + | 0.988627i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.51664 | + | 7.74544i | 0.314581 | + | 0.968180i | ||||
\(65\) | −2.53669 | − | 7.84478i | −0.314637 | − | 0.973025i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 6.28888i | − | 0.768309i | −0.923269 | − | 0.384154i | \(-0.874493\pi\) | ||
0.923269 | − | 0.384154i | \(-0.125507\pi\) | |||||||
\(68\) | 5.49541 | − | 1.78557i | 0.666417 | − | 0.216532i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.13803 | + | 1.56173i | −0.136021 | + | 0.186662i | ||||
\(71\) | 0.313338 | − | 0.964354i | 0.0371864 | − | 0.114448i | −0.930740 | − | 0.365681i | \(-0.880836\pi\) |
0.967927 | + | 0.251233i | \(0.0808361\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.18866 | + | 8.51796i | 0.724328 | + | 0.996952i | 0.999369 | + | 0.0355192i | \(0.0113085\pi\) |
−0.275041 | + | 0.961432i | \(0.588692\pi\) | |||||||
\(74\) | 15.4207 | + | 11.2038i | 1.79262 | + | 1.30242i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.370960 | 0.0425520 | ||||||||
\(77\) | −1.02258 | + | 0.571193i | −0.116534 | + | 0.0650934i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.386590 | − | 1.18980i | −0.0434948 | − | 0.133863i | 0.926951 | − | 0.375182i | \(-0.122420\pi\) |
−0.970446 | + | 0.241319i | \(0.922420\pi\) | |||||||
\(80\) | −8.34858 | − | 2.72565i | −0.933400 | − | 0.304737i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −19.8658 | − | 6.45480i | −2.19381 | − | 0.712814i | ||||
\(83\) | −11.4650 | − | 3.72521i | −1.25845 | − | 0.408894i | −0.397507 | − | 0.917599i | \(-0.630124\pi\) |
−0.860941 | + | 0.508705i | \(0.830124\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.00554 | − | 3.07993i | 0.109066 | − | 0.334066i | ||||
\(86\) | −6.15052 | − | 18.9293i | −0.663227 | − | 2.04120i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −11.8351 | − | 10.9645i | −1.26162 | − | 1.16882i | ||||
\(89\) | −3.54180 | −0.375430 | −0.187715 | − | 0.982224i | \(-0.560108\pi\) | ||||
−0.187715 | + | 0.982224i | \(0.560108\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.05346 | + | 0.765386i | 0.110433 | + | 0.0802342i | ||||
\(92\) | −11.4024 | − | 15.6940i | −1.18878 | − | 1.63621i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −5.85067 | + | 18.0065i | −0.603450 | + | 1.85723i | ||||
\(95\) | 0.122498 | − | 0.168104i | 0.0125680 | − | 0.0172472i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 15.8990 | − | 5.16591i | 1.61430 | − | 0.524519i | 0.643715 | − | 0.765265i | \(-0.277392\pi\) |
0.970588 | + | 0.240746i | \(0.0773921\pi\) | |||||||
\(98\) | 16.8239i | 1.69947i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −16.1644 | + | 11.6746i | −1.61644 | + | 1.16746i | ||||
\(101\) | −2.65258 | − | 8.16380i | −0.263941 | − | 0.812328i | −0.991935 | − | 0.126745i | \(-0.959547\pi\) |
0.727994 | − | 0.685584i | \(-0.240453\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.12881 | + | 8.43558i | 0.603890 | + | 0.831183i | 0.996057 | − | 0.0887109i | \(-0.0282747\pi\) |
−0.392168 | + | 0.919894i | \(0.628275\pi\) | |||||||
\(104\) | −5.54249 | + | 17.0580i | −0.543486 | + | 1.67268i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −26.2521 | + | 19.0733i | −2.54983 | + | 1.85256i | ||||
\(107\) | 1.73649 | − | 2.39007i | 0.167873 | − | 0.231057i | −0.716789 | − | 0.697290i | \(-0.754389\pi\) |
0.884662 | + | 0.466233i | \(0.154389\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.40314 | −0.613310 | −0.306655 | − | 0.951821i | \(-0.599210\pi\) | ||||
−0.306655 | + | 0.951821i | \(0.599210\pi\) | |||||||
\(110\) | −17.8077 | + | 3.49563i | −1.69790 | + | 0.333295i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.31916 | − | 0.428622i | 0.124649 | − | 0.0405010i | ||||
\(113\) | −7.20636 | + | 9.91870i | −0.677917 | + | 0.933073i | −0.999907 | − | 0.0136701i | \(-0.995649\pi\) |
0.321989 | + | 0.946743i | \(0.395649\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.8772 | − | 0.0153547i | −1.01430 | − | 0.00143183i | ||||
\(116\) | 8.24827 | − | 25.3856i | 0.765833 | − | 2.35699i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 12.7784 | − | 17.5880i | 1.17635 | − | 1.61910i | ||||
\(119\) | 0.158126 | + | 0.486662i | 0.0144954 | + | 0.0446122i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.6904 | − | 2.59151i | −0.971852 | − | 0.235592i | ||||
\(122\) | 24.4040i | 2.20943i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −12.6863 | − | 9.21714i | −1.13926 | − | 0.827724i | ||||
\(125\) | −0.0473476 | + | 11.1802i | −0.00423490 | + | 0.999991i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.6172 | − | 4.42450i | −1.20833 | − | 0.392610i | −0.365511 | − | 0.930807i | \(-0.619106\pi\) |
−0.842819 | + | 0.538196i | \(0.819106\pi\) | |||||||
\(128\) | −11.5749 | − | 15.9315i | −1.02309 | − | 1.40816i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 11.8355 | + | 16.3386i | 1.03804 | + | 1.43299i | ||||
\(131\) | 6.51327 | 0.569067 | 0.284533 | − | 0.958666i | \(-0.408161\pi\) | ||||
0.284533 | + | 0.958666i | \(0.408161\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.0328514i | 0.00284858i | ||||||||
\(134\) | 4.75546 | + | 14.6358i | 0.410809 | + | 1.26434i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.70216 | + | 4.14286i | −0.488956 | + | 0.355247i | ||||
\(137\) | −4.79246 | − | 1.55716i | −0.409447 | − | 0.133038i | 0.0970490 | − | 0.995280i | \(-0.469060\pi\) |
−0.506496 | + | 0.862242i | \(0.669060\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.56224 | − | 6.22083i | 0.726240 | − | 0.527644i | −0.162132 | − | 0.986769i | \(-0.551837\pi\) |
0.888372 | + | 0.459125i | \(0.151837\pi\) | |||||||
\(140\) | 0.977384 | − | 2.99369i | 0.0826040 | − | 0.253013i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.48123i | 0.208220i | ||||||||
\(143\) | 2.37250 | + | 11.9965i | 0.198398 | + | 1.00320i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.78001 | − | 12.1206i | −0.729140 | − | 1.00656i | ||||
\(146\) | −20.8436 | − | 15.1438i | −1.72503 | − | 1.25331i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −29.5434 | − | 9.59924i | −2.42845 | − | 0.789053i | ||||
\(149\) | 0.747429 | − | 2.30035i | 0.0612318 | − | 0.188452i | −0.915761 | − | 0.401723i | \(-0.868412\pi\) |
0.976993 | + | 0.213271i | \(0.0684116\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.52168 | + | 6.91790i | 0.774863 | + | 0.562971i | 0.903433 | − | 0.428729i | \(-0.141039\pi\) |
−0.128570 | + | 0.991700i | \(0.541039\pi\) | |||||||
\(152\) | −0.430349 | + | 0.139829i | −0.0349059 | + | 0.0113416i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.94789 | − | 2.10256i | 0.156966 | − | 0.169429i | ||||
\(155\) | −8.36611 | + | 2.70526i | −0.671982 | + | 0.217292i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.0244 | + | 13.7975i | −0.800037 | + | 1.10116i | 0.192748 | + | 0.981248i | \(0.438260\pi\) |
−0.992785 | + | 0.119908i | \(0.961740\pi\) | |||||||
\(158\) | 1.79939 | + | 2.47664i | 0.143152 | + | 0.197031i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.264035 | 0.000372722i | −0.0208738 | 2.94663e-5i | ||||||
\(161\) | 1.38983 | − | 1.00977i | 0.109534 | − | 0.0795809i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 23.8832 | − | 7.76012i | 1.87067 | − | 0.607819i | 0.879387 | − | 0.476108i | \(-0.157953\pi\) |
0.991288 | − | 0.131711i | \(-0.0420472\pi\) | |||||||
\(164\) | 34.0414 | 2.65819 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 29.4989 | 2.28956 | ||||||||
\(167\) | −16.7906 | + | 5.45561i | −1.29930 | + | 0.422168i | −0.875338 | − | 0.483512i | \(-0.839361\pi\) |
−0.423962 | + | 0.905680i | \(0.639361\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.481418 | − | 0.349771i | 0.0370322 | − | 0.0269055i | ||||
\(170\) | −0.0111917 | + | 7.92815i | −0.000858363 | + | 0.608061i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 19.0658 | + | 26.2418i | 1.45375 | + | 2.00092i | ||||
\(173\) | −1.39226 | + | 1.91628i | −0.105851 | + | 0.145692i | −0.858656 | − | 0.512552i | \(-0.828700\pi\) |
0.752805 | + | 0.658244i | \(0.228700\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.03387 | − | 1.43149i | −0.0781535 | − | 0.108210i | ||||
\(176\) | 11.8236 | + | 5.46660i | 0.891239 | + | 0.412060i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.24266 | − | 2.67820i | 0.617813 | − | 0.200740i | ||||
\(179\) | 1.57083 | + | 1.14127i | 0.117409 | + | 0.0853028i | 0.644940 | − | 0.764233i | \(-0.276882\pi\) |
−0.527531 | + | 0.849536i | \(0.676882\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.72308 | − | 14.5362i | 0.351064 | − | 1.08046i | −0.607193 | − | 0.794555i | \(-0.707704\pi\) |
0.958257 | − | 0.285909i | \(-0.0922956\pi\) | |||||||
\(182\) | −3.03044 | − | 0.984649i | −0.224631 | − | 0.0729870i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 19.1435 | + | 13.9086i | 1.41128 | + | 1.02535i | ||||
\(185\) | −14.1058 | + | 10.2181i | −1.03708 | + | 0.751247i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.01672 | + | 4.36193i | −0.147477 | + | 0.318976i | ||||
\(188\) | − | 30.8553i | − | 2.25036i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.157968 | + | 0.483851i | −0.0114602 | + | 0.0351022i | ||||
\(191\) | 13.4231 | − | 9.75247i | 0.971263 | − | 0.705664i | 0.0155237 | − | 0.999880i | \(-0.495058\pi\) |
0.955739 | + | 0.294216i | \(0.0950585\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.579932 | − | 0.188431i | −0.0417444 | − | 0.0135636i | 0.288070 | − | 0.957609i | \(-0.406986\pi\) |
−0.329815 | + | 0.944046i | \(0.606986\pi\) | |||||||
\(194\) | −33.0948 | + | 24.0448i | −2.37607 | + | 1.72631i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.47260 | − | 26.0760i | −0.605186 | − | 1.86257i | ||||
\(197\) | 8.15502i | 0.581021i | 0.956872 | + | 0.290510i | \(0.0938251\pi\) | ||||
−0.956872 | + | 0.290510i | \(0.906175\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.83277 | −0.200809 | −0.100405 | − | 0.994947i | \(-0.532014\pi\) | ||||
−0.100405 | + | 0.994947i | \(0.532014\pi\) | |||||||
\(200\) | 14.3517 | − | 19.6366i | 1.01482 | − | 1.38852i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 12.3464 | + | 16.9934i | 0.868693 | + | 1.19565i | ||||
\(203\) | 2.24809 | + | 0.730449i | 0.157785 | + | 0.0512675i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 11.2411 | − | 15.4262i | 0.785114 | − | 1.07741i | ||||
\(206\) | −20.6420 | − | 14.9973i | −1.43820 | − | 1.04491i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 14.4814i | − | 1.00411i | ||||||
\(209\) | −0.209672 | + | 0.226320i | −0.0145033 | + | 0.0156549i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.75698 | + | 23.8735i | 0.534013 | + | 1.64352i | 0.745773 | + | 0.666200i | \(0.232080\pi\) |
−0.211760 | + | 0.977322i | \(0.567920\pi\) | |||||||
\(212\) | 31.0837 | − | 42.7831i | 2.13484 | − | 2.93835i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.23395 | + | 6.87538i | −0.152709 | + | 0.469991i | ||||
\(215\) | 18.1876 | + | 0.0256744i | 1.24039 | + | 0.00175098i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.816250 | − | 1.12347i | 0.0554107 | − | 0.0762662i | ||||
\(218\) | 14.9017 | − | 4.84187i | 1.00927 | − | 0.327933i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 25.8404 | − | 14.3860i | 1.74216 | − | 0.969907i | ||||
\(221\) | 5.34245 | 0.359372 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.61250 | + | 11.8541i | −0.576735 | + | 0.793808i | −0.993333 | − | 0.115283i | \(-0.963223\pi\) |
0.416597 | + | 0.909091i | \(0.363223\pi\) | |||||||
\(224\) | 0.0337370 | − | 0.0245113i | 0.00225415 | − | 0.00163773i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.27079 | − | 28.5326i | 0.616684 | − | 1.89796i | ||||
\(227\) | 11.6950 | + | 16.0968i | 0.776227 | + | 1.06839i | 0.995688 | + | 0.0927640i | \(0.0295702\pi\) |
−0.219461 | + | 0.975621i | \(0.570430\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.41923 | + | 4.36794i | 0.0937854 | + | 0.288642i | 0.986935 | − | 0.161117i | \(-0.0515098\pi\) |
−0.893150 | + | 0.449759i | \(0.851510\pi\) | |||||||
\(230\) | 25.3256 | − | 8.18927i | 1.66992 | − | 0.539984i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 32.5588i | 2.13759i | ||||||||
\(233\) | 10.0602 | − | 3.26874i | 0.659062 | − | 0.214142i | 0.0396566 | − | 0.999213i | \(-0.487374\pi\) |
0.619406 | + | 0.785071i | \(0.287374\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −13.9824 | − | 10.1890i | −0.912113 | − | 0.664658i | ||||
\(236\) | −10.9483 | + | 33.6954i | −0.712675 | + | 2.19339i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.735999 | − | 1.01302i | −0.0477077 | − | 0.0656640i | ||||
\(239\) | −15.7580 | − | 11.4488i | −1.01930 | − | 0.740563i | −0.0531584 | − | 0.998586i | \(-0.516929\pi\) |
−0.966139 | + | 0.258023i | \(0.916929\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.4879 | −1.06208 | −0.531039 | − | 0.847347i | \(-0.678198\pi\) | ||||
−0.531039 | + | 0.847347i | \(0.678198\pi\) | |||||||
\(242\) | 26.8388 | − | 2.05265i | 1.72526 | − | 0.131949i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −12.2899 | − | 37.8245i | −0.786782 | − | 2.42147i | ||||
\(245\) | −14.6144 | − | 4.77134i | −0.933682 | − | 0.304829i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.326197 | + | 0.105988i | 0.0207554 | + | 0.00674384i | ||||
\(248\) | 18.1916 | + | 5.91082i | 1.15517 | + | 0.375337i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −8.34398 | − | 26.0550i | −0.527719 | − | 1.64787i | ||||
\(251\) | 7.27360 | + | 22.3858i | 0.459106 | + | 1.41298i | 0.866247 | + | 0.499616i | \(0.166526\pi\) |
−0.407141 | + | 0.913365i | \(0.633474\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 16.0195 | + | 1.91397i | 1.00714 | + | 0.120330i | ||||
\(254\) | 35.0363 | 2.19838 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 25.8074 | + | 18.7502i | 1.61296 | + | 1.17189i | ||||
\(257\) | −1.62383 | − | 2.23501i | −0.101292 | − | 0.139416i | 0.755362 | − | 0.655307i | \(-0.227461\pi\) |
−0.856654 | + | 0.515891i | \(0.827461\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.850088 | − | 2.61630i | 0.0528219 | − | 0.162569i | ||||
\(260\) | −26.5724 | − | 19.3634i | −1.64795 | − | 1.20087i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −15.1580 | + | 4.92514i | −0.936466 | + | 0.304276i | ||||
\(263\) | 7.70220i | 0.474938i | 0.971395 | + | 0.237469i | \(0.0763178\pi\) | ||||
−0.971395 | + | 0.237469i | \(0.923682\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.12317 | − | 28.2137i | −0.560432 | − | 1.73315i | ||||
\(266\) | −0.0248413 | − | 0.0764535i | −0.00152312 | − | 0.00468767i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −14.7413 | − | 20.2897i | −0.900469 | − | 1.23939i | ||||
\(269\) | −3.19820 | + | 9.84305i | −0.194998 | + | 0.600141i | 0.804979 | + | 0.593303i | \(0.202177\pi\) |
−0.999977 | + | 0.00683787i | \(0.997823\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.4594 | + | 12.6850i | −1.06058 | + | 0.770560i | −0.974196 | − | 0.225702i | \(-0.927533\pi\) |
−0.0863882 | + | 0.996262i | \(0.527533\pi\) | |||||||
\(272\) | 3.34495 | − | 4.60393i | 0.202817 | − | 0.279154i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.3307 | 0.744928 | ||||||||
\(275\) | 2.01380 | − | 16.4604i | 0.121436 | − | 0.992599i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.67008 | − | 2.49216i | 0.460851 | − | 0.149739i | −0.0693847 | − | 0.997590i | \(-0.522104\pi\) |
0.530235 | + | 0.847851i | \(0.322104\pi\) | |||||||
\(278\) | −15.2225 | + | 20.9520i | −0.912984 | + | 1.25662i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.00542264 | + | 3.84138i | −0.000324065 | + | 0.229566i | ||||
\(281\) | −8.81351 | + | 27.1252i | −0.525770 | + | 1.61815i | 0.237018 | + | 0.971505i | \(0.423830\pi\) |
−0.762788 | + | 0.646649i | \(0.776170\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.6223 | + | 17.3732i | −0.750320 | + | 1.03273i | 0.247638 | + | 0.968853i | \(0.420346\pi\) |
−0.997958 | + | 0.0638743i | \(0.979654\pi\) | |||||||
\(284\) | −1.24956 | − | 3.84575i | −0.0741477 | − | 0.228203i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −14.5928 | − | 26.1250i | −0.862892 | − | 1.54480i | ||||
\(287\) | 3.01463i | 0.177948i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12.0548 | − | 8.75834i | −0.709107 | − | 0.515196i | ||||
\(290\) | 29.5985 | + | 21.5685i | 1.73809 | + | 1.26655i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 39.9327 | + | 12.9749i | 2.33688 | + | 0.759299i | ||||
\(293\) | −8.97706 | − | 12.3559i | −0.524445 | − | 0.721837i | 0.461826 | − | 0.886971i | \(-0.347194\pi\) |
−0.986271 | + | 0.165134i | \(0.947194\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.6541 | + | 16.0882i | 0.678529 | + | 0.936693i | ||||
\(296\) | 37.8915 | 2.20240 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.91868i | 0.342860i | ||||||||
\(299\) | −5.54249 | − | 17.0580i | −0.320530 | − | 0.986491i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.32392 | + | 1.68843i | −0.133948 | + | 0.0973192i | ||||
\(302\) | −27.3905 | − | 8.89970i | −1.57614 | − | 0.512120i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.295571 | − | 0.214745i | 0.0169521 | − | 0.0123165i | ||||
\(305\) | −21.1990 | − | 6.92106i | −1.21385 | − | 0.396299i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.5348i | 1.57150i | 0.618547 | + | 0.785748i | \(0.287722\pi\) | ||||
−0.618547 | + | 0.785748i | \(0.712278\pi\) | |||||||
\(308\) | −1.96025 | + | 4.23979i | −0.111696 | + | 0.241585i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 17.4244 | − | 12.6220i | 0.989640 | − | 0.716883i | ||||
\(311\) | 0.861489 | + | 0.625908i | 0.0488506 | + | 0.0354920i | 0.611943 | − | 0.790902i | \(-0.290388\pi\) |
−0.563092 | + | 0.826394i | \(0.690388\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 19.5956 | + | 6.36698i | 1.10761 | + | 0.359883i | 0.805025 | − | 0.593241i | \(-0.202152\pi\) |
0.302581 | + | 0.953124i | \(0.402152\pi\) | |||||||
\(314\) | 12.8962 | − | 39.6903i | 0.727773 | − | 2.23986i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.03618 | − | 2.93246i | −0.227053 | − | 0.164964i | ||||
\(317\) | −12.1992 | + | 3.96377i | −0.685177 | + | 0.222627i | −0.630860 | − | 0.775896i | \(-0.717298\pi\) |
−0.0543164 | + | 0.998524i | \(0.517298\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 10.8255 | + | 19.3805i | 0.606112 | + | 1.08510i | ||||
\(320\) | 17.3272 | − | 5.60293i | 0.968623 | − | 0.313214i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.47092 | + | 3.40093i | −0.137699 | + | 0.189526i | ||||
\(323\) | 0.0792230 | + | 0.109041i | 0.00440809 | + | 0.00606721i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −17.5494 | + | 5.64743i | −0.973468 | + | 0.313263i | ||||
\(326\) | −49.7142 | + | 36.1195i | −2.75342 | + | 2.00047i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −39.4913 | + | 12.8315i | −2.18054 | + | 0.708501i | ||||
\(329\) | 2.73248 | 0.150646 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 30.0181 | 1.64994 | 0.824972 | − | 0.565174i | \(-0.191191\pi\) | ||||
0.824972 | + | 0.565174i | \(0.191191\pi\) | |||||||
\(332\) | −45.7213 | + | 14.8557i | −2.50928 | + | 0.815315i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 34.9507 | − | 25.3932i | 1.91242 | − | 1.38945i | ||||
\(335\) | −14.0623 | − | 0.0198510i | −0.768308 | − | 0.00108457i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.22285 | − | 12.6942i | −0.502400 | − | 0.691495i | 0.480214 | − | 0.877151i | \(-0.340559\pi\) |
−0.982615 | + | 0.185656i | \(0.940559\pi\) | |||||||
\(338\) | −0.855896 | + | 1.17804i | −0.0465546 | + | 0.0640769i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.97530 | − | 12.2937i | −0.215591 | − | 0.666722i | ||||
\(341\) | 12.7938 | − | 2.53016i | 0.692822 | − | 0.137016i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 4.66036 | − | 1.51424i | 0.251636 | − | 0.0817614i | ||||
\(344\) | −32.0097 | − | 23.2564i | −1.72585 | − | 1.25390i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.79110 | − | 5.51244i | 0.0962902 | − | 0.296351i | ||||
\(347\) | −7.38011 | − | 2.39794i | −0.396185 | − | 0.128728i | 0.104147 | − | 0.994562i | \(-0.466789\pi\) |
−0.500332 | + | 0.865834i | \(0.666789\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.83060 | + | 2.05655i | 0.151518 | + | 0.110085i | 0.660962 | − | 0.750420i | \(-0.270149\pi\) |
−0.509443 | + | 0.860504i | \(0.670149\pi\) | |||||||
\(350\) | 3.48853 | + | 2.54965i | 0.186470 | + | 0.136284i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.388862 | + | 0.0464602i | 0.0207264 | + | 0.00247634i | ||||
\(353\) | 9.57594i | 0.509676i | 0.966984 | + | 0.254838i | \(0.0820221\pi\) | ||||
−0.966984 | + | 0.254838i | \(0.917978\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.15537 | − | 0.703688i | −0.114395 | − | 0.0373479i | ||||
\(356\) | −11.4268 | + | 8.30207i | −0.605621 | + | 0.440009i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.51871 | − | 1.46822i | −0.238821 | − | 0.0775978i | ||||
\(359\) | −1.57815 | + | 1.14659i | −0.0832917 | + | 0.0605149i | −0.628652 | − | 0.777687i | \(-0.716393\pi\) |
0.545360 | + | 0.838202i | \(0.316393\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.86865 | − | 18.0618i | −0.308876 | − | 0.950623i | ||||
\(362\) | 37.4008i | 1.96574i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.19285 | 0.272179 | ||||||||
\(365\) | 19.0663 | − | 13.8114i | 0.997973 | − | 0.722920i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.32793 | − | 8.70965i | −0.330315 | − | 0.454640i | 0.611266 | − | 0.791425i | \(-0.290660\pi\) |
−0.941582 | + | 0.336785i | \(0.890660\pi\) | |||||||
\(368\) | −18.1702 | − | 5.90385i | −0.947186 | − | 0.307759i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 25.1012 | − | 34.4464i | 1.30495 | − | 1.79078i | ||||
\(371\) | 3.78877 | + | 2.75271i | 0.196703 | + | 0.142913i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 21.2460i | 1.10007i | 0.835140 | + | 0.550037i | \(0.185386\pi\) | ||||
−0.835140 | + | 0.550037i | \(0.814614\pi\) | |||||||
\(374\) | 1.39505 | − | 11.6763i | 0.0721366 | − | 0.603768i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 11.6305 | + | 35.7951i | 0.599799 | + | 1.84599i | ||||
\(377\) | 14.5059 | − | 19.9657i | 0.747094 | − | 1.02829i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.70295 | + | 29.8626i | −0.498407 | + | 1.53394i | 0.313172 | + | 0.949697i | \(0.398609\pi\) |
−0.811579 | + | 0.584243i | \(0.801391\pi\) | |||||||
\(380\) | 0.00117094 | − | 0.829491i | 6.00680e−5 | − | 0.0425520i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −23.8645 | + | 32.8466i | −1.22101 | + | 1.68058i | ||||
\(383\) | −19.2570 | + | 6.25699i | −0.983988 | + | 0.319717i | −0.756449 | − | 0.654052i | \(-0.773068\pi\) |
−0.227538 | + | 0.973769i | \(0.573068\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.27400 | + | 2.28837i | 0.0649289 | + | 0.116626i | ||||
\(386\) | 1.49213 | 0.0759476 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 39.1857 | − | 53.9345i | 1.98935 | − | 2.73811i | ||||
\(389\) | 21.3089 | − | 15.4818i | 1.08040 | − | 0.784959i | 0.102650 | − | 0.994717i | \(-0.467268\pi\) |
0.977753 | + | 0.209758i | \(0.0672677\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.17803 | − | 6.70329i | 0.110148 | − | 0.339000i | ||||
\(392\) | 19.6581 | + | 27.0570i | 0.992882 | + | 1.36658i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.16658 | − | 18.9788i | −0.310668 | − | 0.956137i | ||||
\(395\) | −2.66170 | + | 0.860686i | −0.133925 | + | 0.0433058i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 6.19375i | − | 0.310855i | −0.987847 | − | 0.155428i | \(-0.950324\pi\) | ||
0.987847 | − | 0.155428i | \(-0.0496755\pi\) | |||||||
\(398\) | 6.59256 | − | 2.14205i | 0.330455 | − | 0.107371i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −6.12110 | + | 18.6594i | −0.306055 | + | 0.932969i | ||||
\(401\) | −3.95441 | + | 12.1704i | −0.197474 | + | 0.607763i | 0.802465 | + | 0.596700i | \(0.203522\pi\) |
−0.999939 | + | 0.0110631i | \(0.996478\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −8.52202 | − | 11.7296i | −0.424512 | − | 0.584291i | ||||
\(404\) | −27.6941 | − | 20.1210i | −1.37783 | − | 1.00106i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5.78422 | −0.287066 | ||||||||
\(407\) | 22.5548 | − | 12.5986i | 1.11800 | − | 0.624489i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.78279 | − | 11.6422i | −0.187047 | − | 0.575672i | 0.812931 | − | 0.582361i | \(-0.197871\pi\) |
−0.999978 | + | 0.00668888i | \(0.997871\pi\) | |||||||
\(410\) | −14.4961 | + | 44.4009i | −0.715910 | + | 2.19281i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 39.5465 | + | 12.8494i | 1.94832 | + | 0.633046i | ||||
\(413\) | −2.98400 | − | 0.969559i | −0.146833 | − | 0.0477089i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.36599 | + | 25.6247i | −0.410671 | + | 1.25787i | ||||
\(416\) | −0.134540 | − | 0.414071i | −0.00659635 | − | 0.0203015i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.316823 | − | 0.685250i | 0.0154963 | − | 0.0335167i | ||||
\(419\) | −26.2084 | −1.28037 | −0.640183 | − | 0.768223i | \(-0.721141\pi\) | ||||
−0.640183 | + | 0.768223i | \(0.721141\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.1980 | + | 9.58889i | 0.643230 | + | 0.467334i | 0.860958 | − | 0.508676i | \(-0.169865\pi\) |
−0.217729 | + | 0.976009i | \(0.569865\pi\) | |||||||
\(422\) | −36.1049 | − | 49.6942i | −1.75756 | − | 2.41907i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −19.9335 | + | 61.3491i | −0.968057 | + | 2.97937i | ||||
\(425\) | −6.88376 | − | 2.25818i | −0.333912 | − | 0.109538i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.34966 | − | 1.08837i | 0.162101 | − | 0.0526699i | ||||
\(428\) | − | 11.7814i | − | 0.569476i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −42.3467 | + | 13.6932i | −2.04214 | + | 0.660345i | ||||
\(431\) | 4.94269 | + | 15.2120i | 0.238081 | + | 0.732738i | 0.996698 | + | 0.0812010i | \(0.0258756\pi\) |
−0.758617 | + | 0.651537i | \(0.774124\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.46373 | − | 8.89656i | −0.310627 | − | 0.427541i | 0.624950 | − | 0.780665i | \(-0.285119\pi\) |
−0.935577 | + | 0.353124i | \(0.885119\pi\) | |||||||
\(434\) | −1.05008 | + | 3.23183i | −0.0504057 | + | 0.155133i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −20.6583 | + | 15.0091i | −0.989354 | + | 0.718808i | ||||
\(437\) | 0.265970 | − | 0.366077i | 0.0127231 | − | 0.0175118i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.5564 | 0.551559 | 0.275779 | − | 0.961221i | \(-0.411064\pi\) | ||||
0.275779 | + | 0.961221i | \(0.411064\pi\) | |||||||
\(440\) | −24.5547 | + | 26.4294i | −1.17060 | + | 1.25997i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −12.4332 | + | 4.03980i | −0.591389 | + | 0.192154i | ||||
\(443\) | 7.55649 | − | 10.4006i | 0.359020 | − | 0.494148i | −0.590856 | − | 0.806777i | \(-0.701210\pi\) |
0.949875 | + | 0.312629i | \(0.101210\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.0111797 | + | 7.91969i | −0.000529971 | + | 0.375429i | ||||
\(446\) | 11.0798 | − | 34.1000i | 0.524641 | − | 1.61468i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.69056 | + | 2.32685i | −0.0798712 | + | 0.109933i | ||||
\(449\) | 2.62163 | + | 8.06855i | 0.123722 | + | 0.380778i | 0.993666 | − | 0.112373i | \(-0.0358450\pi\) |
−0.869944 | + | 0.493151i | \(0.835845\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −19.2407 | + | 20.7684i | −0.906007 | + | 0.977945i | ||||
\(452\) | 48.8924i | 2.29971i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −39.3893 | − | 28.6180i | −1.84863 | − | 1.34311i | ||||
\(455\) | 1.71478 | − | 2.35320i | 0.0803901 | − | 0.110320i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −34.8940 | − | 11.3378i | −1.63227 | − | 0.530358i | −0.657481 | − | 0.753471i | \(-0.728378\pi\) |
−0.974792 | + | 0.223114i | \(0.928378\pi\) | |||||||
\(458\) | −6.60582 | − | 9.09213i | −0.308670 | − | 0.424847i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −35.1288 | + | 25.4469i | −1.63789 | + | 1.18647i | ||||
\(461\) | 18.4156 | 0.857698 | 0.428849 | − | 0.903376i | \(-0.358919\pi\) | ||||
0.428849 | + | 0.903376i | \(0.358919\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 30.0776i | − | 1.39782i | −0.715208 | − | 0.698911i | \(-0.753668\pi\) | ||
0.715208 | − | 0.698911i | \(-0.246332\pi\) | |||||||
\(464\) | −8.12344 | − | 25.0014i | −0.377121 | − | 1.16066i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −20.9408 | + | 15.2144i | −0.970063 | + | 0.704792i | ||||
\(467\) | 8.78488 | + | 2.85438i | 0.406516 | + | 0.132085i | 0.505135 | − | 0.863040i | \(-0.331443\pi\) |
−0.0986193 | + | 0.995125i | \(0.531443\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.79681 | − | 1.30546i | 0.0829689 | − | 0.0602805i | ||||
\(470\) | 40.2453 | + | 13.1393i | 1.85638 | + | 0.606071i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 43.2168i | − | 1.98921i | ||||||
\(473\) | −26.7862 | − | 3.20034i | −1.23163 | − | 0.147152i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.375506 | − | 0.274444i | −0.0172294 | − | 0.0125924i | ||||
\(476\) | 1.65091 | + | 1.19945i | 0.0756692 | + | 0.0549769i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 45.3300 | + | 14.7286i | 2.07335 | + | 0.673671i | ||||
\(479\) | −6.58568 | + | 20.2686i | −0.300907 | + | 0.926098i | 0.680265 | + | 0.732966i | \(0.261865\pi\) |
−0.981173 | + | 0.193132i | \(0.938135\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −23.2358 | − | 16.8818i | −1.05946 | − | 0.769745i | ||||
\(482\) | 38.3715 | − | 12.4677i | 1.74777 | − | 0.567886i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −40.5647 | + | 16.6976i | −1.84385 | + | 0.758982i | ||||
\(485\) | −11.5011 | − | 35.5676i | −0.522240 | − | 1.61504i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.90908 | − | 8.13315i | 0.267766 | − | 0.368548i | −0.653868 | − | 0.756609i | \(-0.726855\pi\) |
0.921634 | + | 0.388060i | \(0.126855\pi\) | |||||||
\(488\) | 28.5150 | + | 39.2475i | 1.29081 | + | 1.77665i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 37.6194 | + | 0.0531050i | 1.69947 | + | 0.00239904i | ||||
\(491\) | 32.8925 | − | 23.8978i | 1.48442 | − | 1.07849i | 0.508319 | − | 0.861169i | \(-0.330267\pi\) |
0.976099 | − | 0.217324i | \(-0.0697329\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.22344 | − | 2.99688i | 0.415403 | − | 0.134972i | ||||
\(494\) | −0.839287 | −0.0377613 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −15.4438 | −0.693448 | ||||||||
\(497\) | 0.340571 | − | 0.110658i | 0.0152767 | − | 0.00496370i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.5253 | + | 10.5532i | −0.650241 | + | 0.472428i | −0.863353 | − | 0.504600i | \(-0.831640\pi\) |
0.213112 | + | 0.977028i | \(0.431640\pi\) | |||||||
\(500\) | 26.0540 | + | 36.1816i | 1.16517 | + | 1.61809i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −33.8550 | − | 46.5974i | −1.51102 | − | 2.07975i | ||||
\(503\) | 23.2443 | − | 31.9931i | 1.03641 | − | 1.42650i | 0.136393 | − | 0.990655i | \(-0.456449\pi\) |
0.900021 | − | 0.435846i | \(-0.143551\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −18.2632 | + | 5.90557i | −0.812700 | + | 0.262794i | ||||
\(506\) | −38.7288 | + | 7.65921i | −1.72171 | + | 0.340493i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −54.3040 | + | 17.6444i | −2.40935 | + | 0.782846i | ||||
\(509\) | −16.9885 | − | 12.3429i | −0.753002 | − | 0.547088i | 0.143754 | − | 0.989613i | \(-0.454083\pi\) |
−0.896756 | + | 0.442526i | \(0.854083\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.14903 | + | 3.53635i | −0.0508301 | + | 0.156439i | ||||
\(512\) | −36.7814 | − | 11.9510i | −1.62552 | − | 0.528165i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5.46911 | + | 3.97354i | 0.241232 | + | 0.175265i | ||||
\(515\) | 18.8819 | − | 13.6778i | 0.832034 | − | 0.602716i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 18.8246 | + | 17.4398i | 0.827904 | + | 0.767003i | ||||
\(518\) | 6.73161i | 0.295770i | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 38.1254 | + | 12.4472i | 1.67191 | + | 0.545846i | ||||
\(521\) | 0.336879 | − | 0.244757i | 0.0147589 | − | 0.0107230i | −0.580381 | − | 0.814345i | \(-0.697096\pi\) |
0.595140 | + | 0.803622i | \(0.297096\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.33804 | − | 3.03411i | −0.408324 | − | 0.132672i | 0.0976509 | − | 0.995221i | \(-0.468867\pi\) |
−0.505975 | + | 0.862548i | \(0.668867\pi\) | |||||||
\(524\) | 21.0136 | − | 15.2673i | 0.917984 | − | 0.666954i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.82418 | − | 17.9250i | −0.253946 | − | 0.781566i | ||||
\(527\) | − | 5.69749i | − | 0.248186i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.662654 | −0.0288111 | ||||||||
\(530\) | 42.5663 | + | 58.7617i | 1.84896 | + | 2.55245i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.0770046 | + | 0.105988i | 0.00333857 | + | 0.00459515i | ||||
\(533\) | 29.9337 | + | 9.72605i | 1.29657 | + | 0.421282i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.33887 | − | 3.89044i | −0.230820 | − | 0.168199i | ||||
\(536\) | 24.7493 | + | 17.9814i | 1.06901 | + | 0.776678i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 25.3257i | − | 1.09187i | ||||||
\(539\) | 20.6976 | + | 9.56943i | 0.891508 | + | 0.412185i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.90309 | + | 24.3232i | 0.339780 | + | 1.04574i | 0.964319 | + | 0.264742i | \(0.0852869\pi\) |
−0.624539 | + | 0.780994i | \(0.714713\pi\) | |||||||
\(542\) | 31.0405 | − | 42.7235i | 1.33330 | − | 1.83513i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.0528700 | − | 0.162717i | 0.00226678 | − | 0.00697644i | ||||
\(545\) | −0.0202116 | + | 14.3178i | −0.000865771 | + | 0.613309i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.36898 | − | 6.01339i | 0.186804 | − | 0.257114i | −0.705335 | − | 0.708874i | \(-0.749204\pi\) |
0.892140 | + | 0.451760i | \(0.149204\pi\) | |||||||
\(548\) | −19.1118 | + | 6.20981i | −0.816418 | + | 0.265270i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7.76025 | + | 39.8303i | 0.330898 | + | 1.69837i | ||||
\(551\) | 0.622615 | 0.0265243 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.259692 | − | 0.357435i | 0.0110432 | − | 0.0151997i | ||||
\(554\) | −15.9657 | + | 11.5998i | −0.678319 | + | 0.492827i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 13.0424 | − | 40.1403i | 0.553120 | − | 1.70233i | ||||
\(557\) | 15.7803 | + | 21.7197i | 0.668631 | + | 0.920292i | 0.999728 | − | 0.0233046i | \(-0.00741876\pi\) |
−0.331097 | + | 0.943597i | \(0.607419\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.26755 | + | 28.5226i | 0.391976 | + | 1.20638i | ||||
\(560\) | −0.954263 | − | 2.95109i | −0.0403250 | − | 0.124706i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 69.7917i | − | 2.94399i | ||||||
\(563\) | 31.4429 | − | 10.2164i | 1.32516 | − | 0.430571i | 0.440896 | − | 0.897558i | \(-0.354661\pi\) |
0.884264 | + | 0.466987i | \(0.154661\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 22.1561 | + | 16.1452i | 0.932115 | + | 0.679234i | ||||
\(566\) | 16.2383 | − | 49.9764i | 0.682547 | − | 2.10066i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.89922 | + | 3.99043i | 0.121648 | + | 0.167435i | ||||
\(569\) | 24.2773 | + | 17.6385i | 1.01776 | + | 0.739444i | 0.965822 | − | 0.259206i | \(-0.0834609\pi\) |
0.0519357 | + | 0.998650i | \(0.483461\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 23.9194 | 1.00100 | 0.500499 | − | 0.865737i | \(-0.333150\pi\) | ||||
0.500499 | + | 0.865737i | \(0.333150\pi\) | |||||||
\(572\) | 35.7746 | + | 33.1430i | 1.49581 | + | 1.38578i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.27958 | − | 7.01581i | −0.0951477 | − | 0.292834i | ||||
\(575\) | −0.0686680 | + | 24.3220i | −0.00286365 | + | 1.01430i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.6186 | + | 5.39972i | 0.691843 | + | 0.224793i | 0.633773 | − | 0.773519i | \(-0.281505\pi\) |
0.0580698 | + | 0.998313i | \(0.481505\pi\) | |||||||
\(578\) | 34.6774 | + | 11.2674i | 1.44239 | + | 0.468661i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −56.7378 | − | 18.5238i | −2.35591 | − | 0.769160i | ||||
\(581\) | −1.31559 | − | 4.04898i | −0.0545800 | − | 0.167980i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.53267 | + | 43.1455i | 0.353387 | + | 1.78690i | ||||
\(584\) | −51.2165 | −2.11935 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 30.2350 | + | 21.9670i | 1.24900 | + | 0.907449i | ||||
\(587\) | −23.3598 | − | 32.1520i | −0.964163 | − | 1.32706i | −0.944941 | − | 0.327241i | \(-0.893881\pi\) |
−0.0192221 | − | 0.999815i | \(-0.506119\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.113031 | − | 0.347874i | 0.00465737 | − | 0.0143339i | ||||
\(590\) | −39.2875 | − | 28.6289i | −1.61744 | − | 1.17863i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −29.0963 | + | 9.45396i | −1.19585 | + | 0.388555i | ||||
\(593\) | − | 20.8206i | − | 0.854999i | −0.904016 | − | 0.427499i | \(-0.859395\pi\) | ||
0.904016 | − | 0.427499i | \(-0.140605\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.08871 | − | 0.352044i | 0.0446326 | − | 0.0144324i | ||||
\(596\) | −2.98067 | − | 9.17357i | −0.122093 | − | 0.375764i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 25.7975 | + | 35.5073i | 1.05494 | + | 1.45200i | ||||
\(599\) | 1.69077 | − | 5.20367i | 0.0690831 | − | 0.212616i | −0.910555 | − | 0.413388i | \(-0.864345\pi\) |
0.979638 | + | 0.200772i | \(0.0643452\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.15734 | − | 1.56740i | 0.0879999 | − | 0.0639356i | −0.542915 | − | 0.839787i | \(-0.682680\pi\) |
0.630915 | + | 0.775852i | \(0.282680\pi\) | |||||||
\(602\) | 4.13161 | − | 5.68667i | 0.168392 | − | 0.231771i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 46.9353 | 1.90977 | ||||||||
\(605\) | −5.82853 | + | 23.8962i | −0.236963 | + | 0.971519i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −13.6824 | + | 4.44568i | −0.555352 | + | 0.180445i | −0.573229 | − | 0.819396i | \(-0.694309\pi\) |
0.0178769 | + | 0.999840i | \(0.494309\pi\) | |||||||
\(608\) | 0.00645623 | − | 0.00888623i | 0.000261835 | − | 0.000360384i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 54.5689 | + | 0.0770315i | 2.20943 | + | 0.00311892i | ||||
\(611\) | 8.81574 | − | 27.1321i | 0.356647 | − | 1.09765i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.12249 | + | 8.42689i | −0.247285 | + | 0.340359i | −0.914558 | − | 0.404454i | \(-0.867461\pi\) |
0.667273 | + | 0.744813i | \(0.267461\pi\) | |||||||
\(614\) | −20.8210 | − | 64.0805i | −0.840268 | − | 2.58608i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.675938 | − | 5.65746i | 0.0272343 | − | 0.227946i | ||||
\(617\) | − | 10.6235i | − | 0.427685i | −0.976868 | − | 0.213842i | \(-0.931402\pi\) | ||
0.976868 | − | 0.213842i | \(-0.0685979\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.83119 | + | 3.51007i | 0.194182 | + | 0.141082i | 0.680628 | − | 0.732629i | \(-0.261707\pi\) |
−0.486446 | + | 0.873711i | \(0.661707\pi\) | |||||||
\(620\) | −20.6502 | + | 28.3383i | −0.829331 | + | 1.13809i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −2.47820 | − | 0.805215i | −0.0993666 | − | 0.0322862i | ||||
\(623\) | −0.735214 | − | 1.01193i | −0.0294557 | − | 0.0405423i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.9996 | + | 0.141163i | 0.999984 | + | 0.00564652i | ||||
\(626\) | −50.4183 | −2.01512 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 68.0120i | 2.71397i | ||||||||
\(629\) | −3.48773 | − | 10.7341i | −0.139065 | − | 0.427997i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.86143 | − | 2.80550i | 0.153721 | − | 0.111685i | −0.508266 | − | 0.861200i | \(-0.669713\pi\) |
0.661987 | + | 0.749515i | \(0.269713\pi\) | |||||||
\(632\) | 5.78771 | + | 1.88054i | 0.230223 | + | 0.0748039i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 25.3934 | − | 18.4494i | 1.00850 | − | 0.732719i | ||||
\(635\) | −9.93645 | + | 30.4350i | −0.394316 | + | 1.20778i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 25.3502i | − | 1.00441i | ||||||
\(638\) | −39.8486 | − | 36.9173i | −1.57762 | − | 1.46157i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −35.6605 | + | 25.8320i | −1.40960 | + | 1.02110i | ||||
\(641\) | −0.0129404 | − | 0.00940174i | −0.000511115 | − | 0.000371346i | 0.587530 | − | 0.809203i | \(-0.300101\pi\) |
−0.588041 | + | 0.808831i | \(0.700101\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −14.9078 | − | 4.84385i | −0.587908 | − | 0.191023i | −6.76766e−5 | − | 1.00000i | \(-0.500022\pi\) |
−0.587840 | + | 0.808977i | \(0.700022\pi\) | |||||||
\(644\) | 2.11704 | − | 6.51559i | 0.0834231 | − | 0.256750i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.266826 | − | 0.193860i | −0.0104981 | − | 0.00762733i | ||||
\(647\) | 0.996166 | − | 0.323674i | 0.0391633 | − | 0.0127249i | −0.289370 | − | 0.957217i | \(-0.593446\pi\) |
0.328533 | + | 0.944492i | \(0.393446\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −14.3692 | − | 25.7246i | −0.564040 | − | 1.00978i | ||||
\(650\) | 36.5716 | − | 26.4134i | 1.43446 | − | 1.03602i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 58.8639 | − | 81.0192i | 2.30529 | − | 3.17295i | ||||
\(653\) | −7.69760 | − | 10.5948i | −0.301230 | − | 0.414608i | 0.631391 | − | 0.775465i | \(-0.282484\pi\) |
−0.932621 | + | 0.360857i | \(0.882484\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.0205592 | − | 14.5641i | 0.000803316 | − | 0.569066i | ||||
\(656\) | 27.1233 | − | 19.7062i | 1.05899 | − | 0.769398i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −6.35917 | + | 2.06622i | −0.247906 | + | 0.0805496i | ||||
\(659\) | −35.8168 | −1.39522 | −0.697612 | − | 0.716476i | \(-0.745754\pi\) | ||||
−0.697612 | + | 0.716476i | \(0.745754\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.445990 | −0.0173470 | −0.00867351 | − | 0.999962i | \(-0.502761\pi\) | ||||
−0.00867351 | + | 0.999962i | \(0.502761\pi\) | |||||||
\(662\) | −69.8597 | + | 22.6988i | −2.71517 | + | 0.882214i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 47.4414 | − | 34.4682i | 1.84108 | − | 1.33762i | ||||
\(665\) | 0.0734579 | 0.000103696i | 0.00284858 | 4.02116e-6i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −19.1376 | − | 26.3406i | −0.741010 | − | 1.01991i | ||||
\(668\) | −41.3832 | + | 56.9591i | −1.60116 | + | 2.20381i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 32.7416 | − | 10.5873i | 1.26492 | − | 0.409024i | ||||
\(671\) | 30.0229 | + | 13.8809i | 1.15902 | + | 0.535868i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.9120 | + | 5.49505i | −0.651911 | + | 0.211819i | −0.616256 | − | 0.787546i | \(-0.711352\pi\) |
−0.0356542 | + | 0.999364i | \(0.511352\pi\) | |||||||
\(674\) | 31.0628 | + | 22.5685i | 1.19650 | + | 0.869305i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.733317 | − | 2.25692i | 0.0282045 | − | 0.0868045i | ||||
\(677\) | −11.9865 | − | 3.89464i | −0.460678 | − | 0.149683i | 0.0694780 | − | 0.997583i | \(-0.477867\pi\) |
−0.530156 | + | 0.847900i | \(0.677867\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.77632 | + | 3.47020i | 0.183298 | + | 0.133174i | ||||
\(680\) | 9.24571 | + | 12.7635i | 0.354557 | + | 0.489457i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −27.8611 | + | 15.5626i | −1.06686 | + | 0.595923i | ||||
\(683\) | 39.7914i | 1.52257i | 0.648415 | + | 0.761287i | \(0.275432\pi\) | ||||
−0.648415 | + | 0.761287i | \(0.724568\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.49705 | + | 10.7113i | −0.133615 | + | 0.409259i | ||||
\(686\) | −9.70080 | + | 7.04805i | −0.370378 | + | 0.269096i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 30.3822 | + | 9.87178i | 1.15831 | + | 0.376358i | ||||
\(689\) | 39.5565 | − | 28.7395i | 1.50698 | − | 1.09489i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.31613 | + | 10.2060i | 0.126152 | + | 0.388255i | 0.994109 | − | 0.108384i | \(-0.0345675\pi\) |
−0.867957 | + | 0.496639i | \(0.834567\pi\) | |||||||
\(692\) | 9.44593i | 0.359081i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 18.9886 | 0.720799 | ||||||||
\(695\) | −13.8832 | − | 19.1654i | −0.526618 | − | 0.726984i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.26996 | + | 10.0062i | 0.275369 | + | 0.379013i | ||||
\(698\) | −8.14262 | − | 2.64570i | −0.308203 | − | 0.100141i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −6.69101 | − | 2.19494i | −0.252896 | − | 0.0829611i | ||||
\(701\) | 6.53445 | + | 4.74755i | 0.246803 | + | 0.179313i | 0.704309 | − | 0.709894i | \(-0.251257\pi\) |
−0.457506 | + | 0.889207i | \(0.651257\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 0.724591i | − | 0.0273285i | ||||||
\(704\) | −26.4975 | + | 5.24028i | −0.998662 | + | 0.197500i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.24104 | − | 22.2856i | −0.272520 | − | 0.838731i | ||||
\(707\) | 1.78187 | − | 2.45253i | 0.0670141 | − | 0.0922370i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.70695 | − | 11.4088i | 0.139217 | − | 0.428467i | −0.857005 | − | 0.515309i | \(-0.827677\pi\) |
0.996222 | + | 0.0868414i | \(0.0276773\pi\) | |||||||
\(710\) | 5.54820 | + | 0.00783206i | 0.208220 | + | 0.000293932i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 10.1268 | − | 13.9384i | 0.379520 | − | 0.522364i | ||||
\(713\) | −18.1916 | + | 5.91082i | −0.681282 | + | 0.221362i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 26.8325 | − | 5.26719i | 1.00348 | − | 0.196982i | ||||
\(716\) | 7.74311 | 0.289374 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.80574 | − | 3.86177i | 0.104709 | − | 0.144120i | ||||
\(719\) | −36.6833 | + | 26.6520i | −1.36806 | + | 0.993951i | −0.370170 | + | 0.928964i | \(0.620700\pi\) |
−0.997886 | + | 0.0649865i | \(0.979300\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.13792 | + | 3.50215i | −0.0423783 | + | 0.130427i | ||||
\(722\) | 27.3157 | + | 37.5968i | 1.01658 | + | 1.39921i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −18.8352 | − | 57.9687i | −0.700004 | − | 2.15439i | ||||
\(725\) | −27.1302 | + | 19.5944i | −1.00759 | + | 0.727719i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 6.88096i | − | 0.255201i | −0.991826 | − | 0.127600i | \(-0.959273\pi\) | ||
0.991826 | − | 0.127600i | \(-0.0407275\pi\) | |||||||
\(728\) | −6.02421 | + | 1.95738i | −0.223272 | + | 0.0725455i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −33.9282 | + | 46.5599i | −1.25574 | + | 1.72326i | ||||
\(731\) | −3.64187 | + | 11.2085i | −0.134699 | + | 0.414562i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −12.1932 | − | 16.7826i | −0.450368 | − | 0.619878i | 0.522109 | − | 0.852879i | \(-0.325145\pi\) |
−0.972477 | + | 0.233001i | \(0.925145\pi\) | |||||||
\(734\) | 21.3127 | + | 15.4846i | 0.786665 | + | 0.571545i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.574393 | −0.0211724 | ||||||||
\(737\) | 20.7105 | + | 2.47444i | 0.762883 | + | 0.0911472i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.95736 | − | 12.1795i | −0.145574 | − | 0.448030i | 0.851510 | − | 0.524338i | \(-0.175687\pi\) |
−0.997084 | + | 0.0763072i | \(0.975687\pi\) | |||||||
\(740\) | −21.5578 | + | 66.0307i | −0.792480 | + | 2.42734i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10.8990 | − | 3.54128i | −0.400113 | − | 0.130005i | ||||
\(743\) | 3.87393 | + | 1.25872i | 0.142121 | + | 0.0461779i | 0.379214 | − | 0.925309i | \(-0.376195\pi\) |
−0.237093 | + | 0.971487i | \(0.576195\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.14137 | − | 1.67856i | −0.188365 | − | 0.0614977i | ||||
\(746\) | −16.0656 | − | 49.4447i | −0.588202 | − | 1.81030i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.71800 | + | 18.8001i | 0.135943 | + | 0.687399i | ||||
\(749\) | 1.04334 | 0.0381227 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −21.9864 | − | 15.9741i | −0.802296 | − | 0.582902i | 0.109291 | − | 0.994010i | \(-0.465142\pi\) |
−0.911587 | + | 0.411108i | \(0.865142\pi\) | |||||||
\(752\) | −17.8618 | − | 24.5847i | −0.651353 | − | 0.896511i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −18.6615 | + | 57.4342i | −0.679612 | + | 2.09163i | ||||
\(755\) | 15.4989 | − | 21.2693i | 0.564064 | − | 0.774068i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 8.75366 | − | 2.84424i | 0.318157 | − | 0.103376i | −0.145585 | − | 0.989346i | \(-0.546506\pi\) |
0.463742 | + | 0.885970i | \(0.346506\pi\) | |||||||
\(758\) | − | 76.8349i | − | 2.79077i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.311308 | + | 0.962730i | 0.0112923 | + | 0.0349219i | ||||
\(761\) | −3.60607 | − | 11.0984i | −0.130720 | − | 0.402315i | 0.864180 | − | 0.503183i | \(-0.167838\pi\) |
−0.994900 | + | 0.100868i | \(0.967838\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.32918 | − | 1.82946i | −0.0481195 | − | 0.0662308i | ||||
\(764\) | 20.4467 | − | 62.9283i | 0.739734 | − | 2.27667i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 40.0846 | − | 29.1232i | 1.44832 | − | 1.05226i | ||||
\(767\) | −19.2544 | + | 26.5014i | −0.695236 | + | 0.956910i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −43.9597 | −1.58523 | −0.792614 | − | 0.609723i | \(-0.791281\pi\) | ||||
−0.792614 | + | 0.609723i | \(0.791281\pi\) | |||||||
\(770\) | −4.69531 | − | 4.36225i | −0.169207 | − | 0.157205i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.31271 | + | 0.751445i | −0.0832362 | + | 0.0270451i | ||||
\(773\) | −2.38278 | + | 3.27962i | −0.0857028 | + | 0.117960i | −0.849716 | − | 0.527241i | \(-0.823226\pi\) |
0.764013 | + | 0.645201i | \(0.223226\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.02274 | + | 18.7157i | 0.216343 | + | 0.672288i | ||||
\(776\) | −25.1292 | + | 77.3398i | −0.902086 | + | 2.77634i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −37.8843 | + | 52.1433i | −1.35822 | + | 1.86943i | ||||
\(779\) | 0.245374 | + | 0.755183i | 0.00879143 | + | 0.0270572i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.05253 | + | 1.41132i | 0.109228 | + | 0.0505011i | ||||
\(782\) | 17.2472i | 0.616759i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −21.8459 | − | 15.8719i | −0.780209 | − | 0.566855i | ||||
\(785\) | 30.8204 | + | 22.4589i | 1.10003 | + | 0.801591i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 14.7242 | + | 4.78417i | 0.524860 | + | 0.170537i | 0.559450 | − | 0.828864i | \(-0.311012\pi\) |
−0.0345898 | + | 0.999402i | \(0.511012\pi\) | |||||||
\(788\) | 19.1156 | + | 26.3104i | 0.680965 | + | 0.937267i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.54362 | − | 4.01573i | 0.197233 | − | 0.142873i | ||||
\(791\) | −4.32981 | −0.153950 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 36.7717i | − | 1.30580i | ||||||
\(794\) | 4.68353 | + | 14.4144i | 0.166212 | + | 0.511549i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.13929 | + | 6.64008i | −0.323934 | + | 0.235352i | ||||
\(797\) | −35.1877 | − | 11.4332i | −1.24641 | − | 0.404984i | −0.389778 | − | 0.920909i | \(-0.627448\pi\) |
−0.856634 | + | 0.515925i | \(0.827448\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.06971 | − | 6.58953i | 0.320863 | − | 0.233121i | ||||
\(800\) | −0.00166686 | + | 0.590399i | −5.89325e−5 | + | 0.0208738i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | − | 31.3139i | − | 1.10573i | ||||||
\(803\) | −30.4864 | + | 17.0290i | −1.07584 | + | 0.600941i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.25352 | − | 3.11093i | −0.0794262 | − | 0.109646i | ||||
\(806\) | 28.7024 | + | 20.8535i | 1.01100 | + | 0.734535i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 39.7122 | + | 12.9033i | 1.39707 | + | 0.453936i | ||||
\(809\) | −1.38117 | + | 4.25082i | −0.0485595 | + | 0.149451i | −0.972396 | − | 0.233336i | \(-0.925036\pi\) |
0.923837 | + | 0.382787i | \(0.125036\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.84293 | − | 7.15131i | −0.345632 | − | 0.251116i | 0.401402 | − | 0.915902i | \(-0.368523\pi\) |
−0.747034 | + | 0.664786i | \(0.768523\pi\) | |||||||
\(812\) | 8.96516 | − | 2.91296i | 0.314616 | − | 0.102225i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −42.9640 | + | 46.3753i | −1.50589 | + | 1.62545i | ||||
\(815\) | −17.2767 | − | 53.4289i | −0.605178 | − | 1.87153i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.444727 | + | 0.612114i | −0.0155590 | + | 0.0214152i | ||||
\(818\) | 17.6070 | + | 24.2340i | 0.615616 | + | 0.847322i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.107452 | − | 76.1188i | 0.00375240 | − | 2.65818i | ||||
\(821\) | 11.8701 | − | 8.62411i | 0.414268 | − | 0.300984i | −0.361059 | − | 0.932543i | \(-0.617585\pi\) |
0.775328 | + | 0.631559i | \(0.217585\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −9.27399 | + | 3.01330i | −0.323271 | + | 0.105037i | −0.466157 | − | 0.884702i | \(-0.654362\pi\) |
0.142886 | + | 0.989739i | \(0.454362\pi\) | |||||||
\(824\) | −50.7212 | −1.76696 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 7.67766 | 0.267140 | ||||||||
\(827\) | −16.0497 | + | 5.21486i | −0.558102 | + | 0.181338i | −0.574467 | − | 0.818528i | \(-0.694791\pi\) |
0.0163651 | + | 0.999866i | \(0.494791\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 32.1868 | − | 23.3851i | 1.11789 | − | 0.812197i | 0.134005 | − | 0.990981i | \(-0.457216\pi\) |
0.983888 | + | 0.178783i | \(0.0572162\pi\) | |||||||
\(830\) | 0.0931137 | − | 65.9614i | 0.00323202 | − | 2.28955i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 17.6502 | + | 24.2934i | 0.611910 | + | 0.842221i | ||||
\(833\) | 5.85543 | − | 8.05931i | 0.202879 | − | 0.279238i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 12.1461 | + | 37.5622i | 0.420333 | + | 1.29989i | ||||
\(836\) | −0.145959 | + | 1.22165i | −0.00504810 | + | 0.0422515i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 60.9937 | − | 19.8180i | 2.10699 | − | 0.684603i | ||||
\(839\) | −19.0738 | − | 13.8579i | −0.658501 | − | 0.478429i | 0.207655 | − | 0.978202i | \(-0.433417\pi\) |
−0.866156 | + | 0.499773i | \(0.833417\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.88231 | − | 15.0262i | 0.168356 | − | 0.518145i | ||||
\(842\) | −37.9658 | − | 12.3359i | −1.30839 | − | 0.425121i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 80.9864 | + | 58.8401i | 2.78767 | + | 2.02536i | ||||
\(845\) | −0.780591 | − | 1.07759i | −0.0268532 | − | 0.0370701i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.47870 | − | 3.59232i | −0.0508089 | − | 0.123434i | ||||
\(848\) | − | 52.0824i | − | 1.78852i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 17.7278 | + | 0.0500507i | 0.608059 | + | 0.00171672i | ||||
\(851\) | −30.6549 | + | 22.2721i | −1.05084 | + | 0.763477i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −35.6476 | − | 11.5826i | −1.22055 | − | 0.396580i | −0.373267 | − | 0.927724i | \(-0.621763\pi\) |
−0.847282 | + | 0.531143i | \(0.821763\pi\) | |||||||
\(854\) | −6.97251 | + | 5.06582i | −0.238594 | + | 0.173349i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.44086 | + | 13.6676i | 0.151785 | + | 0.467148i | ||||
\(857\) | 40.5203i | 1.38415i | 0.721827 | + | 0.692074i | \(0.243303\pi\) | ||||
−0.721827 | + | 0.692074i | \(0.756697\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 18.5806 | 0.633961 | 0.316981 | − | 0.948432i | \(-0.397331\pi\) | ||||
0.316981 | + | 0.948432i | \(0.397331\pi\) | |||||||
\(860\) | 58.7386 | − | 42.5495i | 2.00297 | − | 1.45093i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −23.0058 | − | 31.6647i | −0.783580 | − | 1.07851i | ||||
\(863\) | −3.71672 | − | 1.20764i | −0.126519 | − | 0.0411084i | 0.245073 | − | 0.969505i | \(-0.421188\pi\) |
−0.371592 | + | 0.928396i | \(0.621188\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.28053 | + | 3.11923i | 0.145542 | + | 0.106057i | ||||
\(866\) | 21.7700 | + | 15.8169i | 0.739776 | + | 0.537479i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | − | 5.53795i | − | 0.187970i | ||||||
\(869\) | 4.07037 | − | 0.804977i | 0.138078 | − | 0.0273070i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.16549 | − | 22.0531i | −0.242793 | − | 0.747242i | ||||
\(872\) | 18.3081 | − | 25.1990i | 0.619991 | − | 0.853344i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.342164 | + | 1.05307i | −0.0115739 | + | 0.0356207i | ||||
\(875\) | −3.20416 | + | 2.30729i | −0.108320 | + | 0.0780006i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −21.2356 | + | 29.2282i | −0.717074 | + | 0.986967i | 0.282542 | + | 0.959255i | \(0.408822\pi\) |
−0.999616 | + | 0.0277125i | \(0.991178\pi\) | |||||||
\(878\) | −26.8948 | + | 8.73864i | −0.907654 | + | 0.294915i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 12.2610 | − | 26.4211i | 0.413318 | − | 0.890656i | ||||
\(881\) | −38.7801 | −1.30654 | −0.653268 | − | 0.757127i | \(-0.726602\pi\) | ||||
−0.653268 | + | 0.757127i | \(0.726602\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1.00263 | − | 1.38000i | 0.0337412 | − | 0.0464407i | −0.791813 | − | 0.610763i | \(-0.790863\pi\) |
0.825554 | + | 0.564323i | \(0.190863\pi\) | |||||||
\(884\) | 17.2362 | − | 12.5229i | 0.579717 | − | 0.421189i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −9.72123 | + | 29.9189i | −0.326591 | + | 1.00514i | ||||
\(887\) | 5.76014 | + | 7.92816i | 0.193407 | + | 0.266201i | 0.894696 | − | 0.446675i | \(-0.147392\pi\) |
−0.701290 | + | 0.712877i | \(0.747392\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.56255 | − | 4.80905i | −0.0524064 | − | 0.161290i | ||||
\(890\) | −5.96262 | − | 18.4396i | −0.199867 | − | 0.618096i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 58.4325i | 1.95647i | ||||||||
\(893\) | 0.684502 | − | 0.222408i | 0.0229060 | − | 0.00744261i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.55692 | − | 3.50887i | 0.0854684 | − | 0.117289i | ||||
\(896\) | 2.14908 | − | 6.61420i | 0.0717958 | − | 0.220965i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −12.2024 | − | 16.7951i | −0.407199 | − | 0.560461i | ||||
\(899\) | −21.2925 | − | 15.4699i | −0.710146 | − | 0.515951i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 19.2141 | 0.640114 | ||||||||
\(902\) | 29.0734 | − | 62.8825i | 0.968040 | − | 2.09376i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −18.4294 | − | 56.7199i | −0.612953 | − | 1.88648i | ||||
\(905\) | −32.4889 | − | 10.6070i | −1.07997 | − | 0.352589i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 25.8868 | + | 8.41114i | 0.859558 | + | 0.279287i | 0.705444 | − | 0.708766i | \(-0.250748\pi\) |
0.154114 | + | 0.988053i | \(0.450748\pi\) | |||||||
\(908\) | 75.4629 | + | 24.5194i | 2.50433 | + | 0.813705i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.21131 | + | 6.77315i | −0.0733041 | + | 0.224528i | ||||
\(911\) | 13.5837 | + | 41.8062i | 0.450046 | + | 1.38510i | 0.876853 | + | 0.480758i | \(0.159638\pi\) |
−0.426807 | + | 0.904343i | \(0.640362\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 16.7789 | − | 36.2909i | 0.555301 | − | 1.20105i | ||||
\(914\) | 89.7805 | 2.96967 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 14.8174 | + | 10.7655i | 0.489581 | + | 0.355702i | ||||
\(917\) | 1.35204 | + | 1.86092i | 0.0446482 | + | 0.0614530i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −0.146992 | + | 0.452394i | −0.00484881 | + | 0.0149231i | −0.953452 | − | 0.301546i | \(-0.902497\pi\) |
0.948603 | + | 0.316469i | \(0.102497\pi\) | |||||||
\(920\) | 31.1609 | − | 42.7622i | 1.02734 | − | 1.40983i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −42.8577 | + | 13.9253i | −1.41144 | + | 0.458605i | ||||
\(923\) | − | 3.73870i | − | 0.123061i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 22.8038 | + | 31.5737i | 0.749783 | + | 1.03814i | ||||
\(926\) | 22.7438 | + | 69.9981i | 0.747406 | + | 2.30028i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.464550 | − | 0.639398i | −0.0152496 | − | 0.0209893i | ||||
\(929\) | 6.74237 | − | 20.7509i | 0.221210 | − | 0.680814i | −0.777444 | − | 0.628952i | \(-0.783484\pi\) |
0.998654 | − | 0.0518624i | \(-0.0165157\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.517405 | − | 0.375917i | 0.0169573 | − | 0.0123202i | ||||
\(932\) | 24.7948 | − | 34.1272i | 0.812182 | − | 1.11787i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −22.6030 | −0.739594 | ||||||||
\(935\) | 9.74721 | + | 4.52329i | 0.318768 | + | 0.147927i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 29.4622 | − | 9.57286i | 0.962490 | − | 0.312732i | 0.214709 | − | 0.976678i | \(-0.431120\pi\) |
0.747780 | + | 0.663946i | \(0.231120\pi\) | |||||||
\(938\) | −3.19448 | + | 4.39682i | −0.104303 | + | 0.143561i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −68.9945 | − | 0.0973954i | −2.25035 | − | 0.00317669i | ||||
\(941\) | −10.1651 | + | 31.2848i | −0.331372 | + | 1.01986i | 0.637110 | + | 0.770773i | \(0.280130\pi\) |
−0.968482 | + | 0.249084i | \(0.919870\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 24.4070 | − | 33.5933i | 0.794800 | − | 1.09395i | ||||
\(944\) | 10.7826 | + | 33.1855i | 0.350944 | + | 1.08010i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 64.7582 | − | 12.8069i | 2.10547 | − | 0.416388i | ||||
\(947\) | − | 13.1245i | − | 0.426490i | −0.976999 | − | 0.213245i | \(-0.931597\pi\) | ||
0.976999 | − | 0.213245i | \(-0.0684033\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 31.4070 | + | 22.8185i | 1.01951 | + | 0.740720i | ||||
\(950\) | 1.08142 | + | 0.354755i | 0.0350860 | + | 0.0115098i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.36733 | − | 0.769193i | −0.0767257 | − | 0.0249297i | ||||
\(953\) | 17.5844 | + | 24.2028i | 0.569614 | + | 0.784007i | 0.992509 | − | 0.122172i | \(-0.0389860\pi\) |
−0.422895 | + | 0.906179i | \(0.638986\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −21.7648 | − | 30.0458i | −0.704292 | − | 0.972258i | ||||
\(956\) | −77.6759 | −2.51222 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 52.1502i | − | 1.68489i | ||||||
\(959\) | −0.549928 | − | 1.69250i | −0.0177581 | − | 0.0546538i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.5705 | − | 9.13298i | 0.405499 | − | 0.294612i | ||||
\(962\) | 66.8412 | + | 21.7180i | 2.15505 | + | 0.700218i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −53.1945 | + | 38.6481i | −1.71328 | + | 1.24477i | ||||
\(965\) | −0.423175 | + | 1.29617i | −0.0136225 | + | 0.0417252i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 48.8957i | 1.57238i | 0.617986 | + | 0.786189i | \(0.287949\pi\) | ||||
−0.617986 | + | 0.786189i | \(0.712051\pi\) | |||||||
\(968\) | 40.7650 | − | 34.6612i | 1.31024 | − | 1.11405i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 53.6612 | + | 74.0780i | 1.72296 | + | 2.37850i | ||||
\(971\) | 24.0664 | + | 17.4853i | 0.772329 | + | 0.561130i | 0.902667 | − | 0.430340i | \(-0.141606\pi\) |
−0.130338 | + | 0.991470i | \(0.541606\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.55474 | + | 1.15500i | 0.113960 | + | 0.0370277i | ||||
\(974\) | −7.60188 | + | 23.3962i | −0.243580 | + | 0.749662i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −31.6885 | − | 23.0230i | −1.01432 | − | 0.736950i | ||||
\(977\) | 37.3087 | − | 12.1223i | 1.19361 | − | 0.387828i | 0.356205 | − | 0.934408i | \(-0.384070\pi\) |
0.837407 | + | 0.546579i | \(0.184070\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.39357 | − | 11.6639i | 0.0445386 | − | 0.372779i | ||||
\(980\) | −58.3344 | + | 18.8630i | −1.86342 | + | 0.602556i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −58.4784 | + | 80.4886i | −1.86612 | + | 2.56849i | ||||
\(983\) | 3.33715 | + | 4.59319i | 0.106439 | + | 0.146500i | 0.858913 | − | 0.512121i | \(-0.171140\pi\) |
−0.752475 | + | 0.658621i | \(0.771140\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 18.2352 | + | 0.0257415i | 0.581020 | + | 0.000820191i | ||||
\(986\) | −19.1991 | + | 13.9490i | −0.611424 | + | 0.444226i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.30084 | − | 0.422669i | 0.0413852 | − | 0.0134469i | ||||
\(989\) | 39.5661 | 1.25813 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −52.6305 | −1.67186 | −0.835932 | − | 0.548833i | \(-0.815072\pi\) | ||||
−0.835932 | + | 0.548833i | \(0.815072\pi\) | |||||||
\(992\) | −0.441588 | + | 0.143481i | −0.0140204 | + | 0.00455551i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.708919 | + | 0.515060i | −0.0224855 | + | 0.0163367i | ||||
\(995\) | −0.00894168 | + | 6.33425i | −0.000283470 | + | 0.200809i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 16.8557 | + | 23.1999i | 0.533826 | + | 0.734749i | 0.987708 | − | 0.156313i | \(-0.0499610\pi\) |
−0.453881 | + | 0.891062i | \(0.649961\pi\) | |||||||
\(998\) | 25.8240 | − | 35.5437i | 0.817444 | − | 1.12511i | ||||
\(999\) | 0 | 0 |
(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 | 495.2.ba.b.379.2 | yes | 48 | |
3.2 | odd | 2 | inner | 495.2.ba.b.379.11 | yes | 48 | |
5.4 | even | 2 | inner | 495.2.ba.b.379.12 | yes | 48 | |
11.9 | even | 5 | inner | 495.2.ba.b.64.12 | yes | 48 | |
15.14 | odd | 2 | inner | 495.2.ba.b.379.1 | yes | 48 | |
33.20 | odd | 10 | inner | 495.2.ba.b.64.1 | ✓ | 48 | |
55.9 | even | 10 | inner | 495.2.ba.b.64.2 | yes | 48 | |
165.119 | odd | 10 | inner | 495.2.ba.b.64.11 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
495.2.ba.b.64.1 | ✓ | 48 | 33.20 | odd | 10 | inner | |
495.2.ba.b.64.2 | yes | 48 | 55.9 | even | 10 | inner | |
495.2.ba.b.64.11 | yes | 48 | 165.119 | odd | 10 | inner | |
495.2.ba.b.64.12 | yes | 48 | 11.9 | even | 5 | inner | |
495.2.ba.b.379.1 | yes | 48 | 15.14 | odd | 2 | inner | |
495.2.ba.b.379.2 | yes | 48 | 1.1 | even | 1 | trivial | |
495.2.ba.b.379.11 | yes | 48 | 3.2 | odd | 2 | inner | |
495.2.ba.b.379.12 | yes | 48 | 5.4 | even | 2 | inner |