Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(61,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 3 x^{15} + 36 x^{14} + 72 x^{13} - 134 x^{12} - 741 x^{11} + 486 x^{10} + 5700 x^{9} + 11637 x^{8} + 13878 x^{7} + 13978 x^{6} + 10005 x^{5} + 5949 x^{4} + \cdots + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 301.2 | ||
Root | \(-0.124000 - 0.703239i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 380.301 |
Dual form | 380.2.u.a.101.2 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.671023 | − | 0.244232i | 0.387415 | − | 0.141008i | −0.140967 | − | 0.990014i | \(-0.545021\pi\) |
0.528382 | + | 0.849007i | \(0.322799\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.173648 | + | 0.984808i | −0.0776578 | + | 0.440419i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.15961 | + | 2.00851i | 0.438293 | + | 0.759145i | 0.997558 | − | 0.0698437i | \(-0.0222501\pi\) |
−0.559265 | + | 0.828989i | \(0.688917\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.90751 | + | 1.60059i | −0.635837 | + | 0.533531i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.57458 | + | 2.72725i | −0.474752 | + | 0.822295i | −0.999582 | − | 0.0289120i | \(-0.990796\pi\) |
0.524829 | + | 0.851207i | \(0.324129\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.20266 | + | 1.89361i | 1.44296 | + | 0.525194i | 0.940616 | − | 0.339474i | \(-0.110249\pi\) |
0.502344 | + | 0.864668i | \(0.332471\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.124000 | + | 0.703239i | 0.0320167 | + | 0.181576i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.31628 | − | 1.94359i | −0.561780 | − | 0.471389i | 0.317127 | − | 0.948383i | \(-0.397282\pi\) |
−0.878907 | + | 0.476994i | \(0.841726\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.24875 | − | 0.973710i | 0.974730 | − | 0.223384i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.26867 | + | 1.06454i | 0.276846 | + | 0.232302i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.283534 | − | 1.60800i | −0.0591210 | − | 0.335292i | 0.940873 | − | 0.338759i | \(-0.110007\pi\) |
−0.999994 | + | 0.00346778i | \(0.998896\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.939693 | − | 0.342020i | −0.187939 | − | 0.0684040i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.96020 | + | 3.39516i | −0.377240 | + | 0.653400i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.91367 | − | 3.28396i | 0.726751 | − | 0.609817i | −0.202493 | − | 0.979284i | \(-0.564904\pi\) |
0.929244 | + | 0.369467i | \(0.120460\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.01198 | + | 1.75281i | 0.181757 | + | 0.314813i | 0.942479 | − | 0.334265i | \(-0.108488\pi\) |
−0.760722 | + | 0.649078i | \(0.775155\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.390495 | + | 2.21461i | −0.0679764 | + | 0.385513i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.17936 | + | 0.793222i | −0.368379 | + | 0.134079i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.94230 | −0.648110 | −0.324055 | − | 0.946038i | \(-0.605046\pi\) | ||||
−0.324055 | + | 0.946038i | \(0.605046\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.95359 | 0.633081 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.75417 | − | 2.45832i | 1.05482 | − | 0.383925i | 0.244343 | − | 0.969689i | \(-0.421428\pi\) |
0.810482 | + | 0.585764i | \(0.199205\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.0418722 | + | 0.237469i | −0.00638544 | + | 0.0362137i | −0.987834 | − | 0.155512i | \(-0.950297\pi\) |
0.981449 | + | 0.191726i | \(0.0614084\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.24504 | − | 2.15647i | −0.185600 | − | 0.321468i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.49214 | + | 4.60845i | −0.801110 | + | 0.672211i | −0.948468 | − | 0.316872i | \(-0.897368\pi\) |
0.147358 | + | 0.989083i | \(0.452923\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.810595 | − | 1.40399i | 0.115799 | − | 0.200570i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.02896 | − | 0.738482i | −0.284112 | − | 0.103408i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.521860 | − | 2.95961i | −0.0716829 | − | 0.406534i | −0.999443 | − | 0.0333580i | \(-0.989380\pi\) |
0.927761 | − | 0.373176i | \(-0.121731\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.41239 | − | 2.02424i | −0.325287 | − | 0.272948i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.61320 | − | 1.69106i | 0.346127 | − | 0.223987i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.466370 | − | 0.391331i | −0.0607162 | − | 0.0509470i | 0.611925 | − | 0.790916i | \(-0.290396\pi\) |
−0.672641 | + | 0.739969i | \(0.734840\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.87362 | − | 10.6258i | −0.239893 | − | 1.36050i | −0.832060 | − | 0.554685i | \(-0.812839\pi\) |
0.592167 | − | 0.805815i | \(-0.298272\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.42678 | − | 1.97519i | −0.683710 | − | 0.248850i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.76828 | + | 4.79480i | −0.343363 | + | 0.594722i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11.5028 | + | 9.65202i | −1.40529 | + | 1.17918i | −0.446604 | + | 0.894732i | \(0.647367\pi\) |
−0.958691 | + | 0.284450i | \(0.908189\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.582984 | − | 1.00976i | −0.0701830 | − | 0.121561i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.791928 | − | 4.49124i | 0.0939845 | − | 0.533013i | −0.901069 | − | 0.433675i | \(-0.857217\pi\) |
0.995054 | − | 0.0993375i | \(-0.0316723\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 13.6128 | − | 4.95465i | 1.59326 | − | 0.579898i | 0.615224 | − | 0.788352i | \(-0.289066\pi\) |
0.978032 | + | 0.208454i | \(0.0668433\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.714088 | −0.0824557 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.30359 | −0.832322 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.11398 | + | 1.49737i | −0.462859 | + | 0.168467i | −0.562915 | − | 0.826515i | \(-0.690320\pi\) |
0.100056 | + | 0.994982i | \(0.468098\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.811064 | − | 4.59977i | 0.0901182 | − | 0.511086i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −2.97839 | − | 5.15872i | −0.326920 | − | 0.566243i | 0.654979 | − | 0.755647i | \(-0.272678\pi\) |
−0.981899 | + | 0.189405i | \(0.939344\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.31628 | − | 1.94359i | 0.251236 | − | 0.210812i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.82412 | − | 3.15946i | 0.195566 | − | 0.338730i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.52005 | + | 3.10104i | 0.903123 | + | 0.328710i | 0.751504 | − | 0.659729i | \(-0.229329\pi\) |
0.151620 | + | 0.988439i | \(0.451551\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.22974 | + | 12.6455i | 0.233740 | + | 1.32560i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.10716 | + | 0.929014i | 0.114807 | + | 0.0963342i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.221130 | + | 4.35329i | 0.0226874 | + | 0.446638i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.30113 | + | 6.12637i | 0.741317 | + | 0.622039i | 0.933191 | − | 0.359381i | \(-0.117012\pi\) |
−0.191874 | + | 0.981420i | \(0.561457\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.36169 | − | 7.72250i | −0.136855 | − | 0.776141i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −17.8871 | − | 6.51036i | −1.77983 | − | 0.647805i | −0.999755 | − | 0.0221177i | \(-0.992959\pi\) |
−0.780074 | − | 0.625687i | \(-0.784819\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.18075 | − | 5.50922i | 0.313409 | − | 0.542840i | −0.665689 | − | 0.746229i | \(-0.731862\pi\) |
0.979098 | + | 0.203389i | \(0.0651957\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.26867 | + | 1.06454i | −0.123809 | + | 0.103888i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −8.89168 | − | 15.4008i | −0.859591 | − | 1.48886i | −0.872319 | − | 0.488937i | \(-0.837385\pi\) |
0.0127277 | − | 0.999919i | \(-0.495949\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.15487 | − | 17.8922i | 0.302182 | − | 1.71376i | −0.334300 | − | 0.942467i | \(-0.608500\pi\) |
0.636482 | − | 0.771292i | \(-0.280389\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.64537 | + | 0.962837i | −0.251088 | + | 0.0913884i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.92400 | −0.745427 | −0.372714 | − | 0.927946i | \(-0.621573\pi\) | ||||
−0.372714 | + | 0.927946i | \(0.621573\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.63281 | 0.152260 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −12.9550 | + | 4.71525i | −1.19769 | + | 0.435925i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.21773 | − | 6.90608i | 0.111629 | − | 0.633079i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.541422 | + | 0.937770i | 0.0492202 | + | 0.0852518i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.93180 | − | 3.29918i | 0.354519 | − | 0.297477i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.500000 | − | 0.866025i | 0.0447214 | − | 0.0774597i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.28578 | − | 2.28784i | −0.557773 | − | 0.203013i | 0.0477237 | − | 0.998861i | \(-0.484803\pi\) |
−0.605497 | + | 0.795848i | \(0.707026\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.0299004 | + | 0.169574i | 0.00263258 | + | 0.0149301i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.75979 | + | 7.35034i | 0.765347 | + | 0.642202i | 0.939513 | − | 0.342514i | \(-0.111279\pi\) |
−0.174166 | + | 0.984716i | \(0.555723\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.88261 | + | 7.40453i | 0.596798 | + | 0.642054i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −3.00320 | − | 2.51998i | −0.258474 | − | 0.216886i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.429370 | + | 2.43508i | 0.0366836 | + | 0.208043i | 0.997640 | − | 0.0686553i | \(-0.0218709\pi\) |
−0.960957 | + | 0.276698i | \(0.910760\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 20.7828 | + | 7.56434i | 1.76278 | + | 0.641599i | 0.999987 | − | 0.00504701i | \(-0.00160652\pi\) |
0.762791 | + | 0.646646i | \(0.223829\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.55982 | + | 4.43373i | −0.215575 | + | 0.373388i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −13.3563 | + | 11.2073i | −1.11691 | + | 0.937202i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.55447 | + | 4.42447i | 0.212137 | + | 0.367432i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.201028 | − | 1.14008i | 0.0165805 | − | 0.0940326i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 12.9595 | − | 4.71687i | 1.06168 | − | 0.386421i | 0.248623 | − | 0.968600i | \(-0.420022\pi\) |
0.813061 | + | 0.582179i | \(0.197800\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.98891 | 0.161856 | 0.0809278 | − | 0.996720i | \(-0.474212\pi\) | ||||
0.0809278 | + | 0.996720i | \(0.474212\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 7.52922 | 0.608701 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.90191 | + | 0.692237i | −0.152765 | + | 0.0556018i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.00345031 | + | 0.0195677i | −0.000275365 | + | 0.00156167i | −0.984945 | − | 0.172867i | \(-0.944697\pi\) |
0.984670 | + | 0.174429i | \(0.0558079\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.07301 | − | 1.85851i | −0.0850955 | − | 0.147390i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.90090 | − | 2.43414i | 0.228623 | − | 0.191837i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.04459 | + | 8.73749i | −0.395123 | + | 0.684373i | −0.993117 | − | 0.117128i | \(-0.962631\pi\) |
0.597994 | + | 0.801501i | \(0.295965\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.11315 | − | 0.769125i | −0.164509 | − | 0.0598763i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.43270 | + | 13.7965i | 0.188248 | + | 1.06761i | 0.921711 | + | 0.387879i | \(0.126792\pi\) |
−0.733462 | + | 0.679730i | \(0.762097\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 13.5234 | + | 11.3474i | 1.04026 | + | 0.872880i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −6.54603 | + | 8.65788i | −0.500587 | + | 0.662085i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.91704 | − | 2.44769i | −0.221779 | − | 0.186094i | 0.525128 | − | 0.851023i | \(-0.324017\pi\) |
−0.746907 | + | 0.664929i | \(0.768462\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.402729 | − | 2.28399i | −0.0304435 | − | 0.172654i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.408521 | − | 0.148689i | −0.0307063 | − | 0.0111762i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.29756 | + | 9.17564i | −0.395958 | + | 0.685819i | −0.993223 | − | 0.116225i | \(-0.962921\pi\) |
0.597265 | + | 0.802044i | \(0.296254\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.61443 | − | 4.71107i | 0.417317 | − | 0.350171i | −0.409824 | − | 0.912165i | \(-0.634410\pi\) |
0.827142 | + | 0.561994i | \(0.189965\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.85242 | − | 6.67259i | −0.284779 | − | 0.493252i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.684573 | − | 3.88241i | 0.0503308 | − | 0.285440i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.94780 | − | 3.25673i | 0.654328 | − | 0.238156i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −9.09229 | −0.661367 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 17.9346 | 1.29770 | 0.648850 | − | 0.760917i | \(-0.275250\pi\) | ||||
0.648850 | + | 0.760917i | \(0.275250\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.86560 | − | 1.77093i | 0.350234 | − | 0.127475i | −0.160912 | − | 0.986969i | \(-0.551444\pi\) |
0.511146 | + | 0.859494i | \(0.329221\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.686533 | + | 3.89352i | −0.0491637 | + | 0.278821i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.651384 | + | 1.12823i | 0.0464092 | + | 0.0803831i | 0.888297 | − | 0.459270i | \(-0.151889\pi\) |
−0.841888 | + | 0.539653i | \(0.818556\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.31228 | + | 7.81393i | −0.660130 | + | 0.553915i | −0.910126 | − | 0.414332i | \(-0.864015\pi\) |
0.249996 | + | 0.968247i | \(0.419571\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.36133 | + | 9.28609i | −0.378159 | + | 0.654990i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 11.1342 | + | 4.05252i | 0.781469 | + | 0.284431i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.24812 | + | 7.07844i | 0.0871725 | + | 0.494380i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.11460 | + | 2.61346i | 0.216480 | + | 0.181648i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.03443 | + | 13.1206i | −0.279068 | + | 0.907569i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 20.4402 | + | 17.1514i | 1.40716 | + | 1.18075i | 0.957812 | + | 0.287396i | \(0.0927897\pi\) |
0.449352 | + | 0.893355i | \(0.351655\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.565506 | − | 3.20714i | −0.0387478 | − | 0.219750i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.226590 | − | 0.0824721i | −0.0154533 | − | 0.00562455i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.34702 | + | 4.06515i | −0.159326 | + | 0.275961i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 7.92441 | − | 6.64937i | 0.535482 | − | 0.449323i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.37041 | − | 14.4980i | −0.563055 | − | 0.975239i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.94159 | − | 11.0113i | 0.130018 | − | 0.737372i | −0.848181 | − | 0.529706i | \(-0.822302\pi\) |
0.978200 | − | 0.207666i | \(-0.0665866\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.33991 | − | 0.851657i | 0.155994 | − | 0.0567771i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.565133 | 0.0375092 | 0.0187546 | − | 0.999824i | \(-0.494030\pi\) | ||||
0.0187546 | + | 0.999824i | \(0.494030\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.02689 | −0.133941 | −0.0669705 | − | 0.997755i | \(-0.521333\pi\) | ||||
−0.0669705 | + | 0.997755i | \(0.521333\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.90088 | + | 1.78377i | −0.322454 | + | 0.117364i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −5.05833 | + | 28.6872i | −0.331382 | + | 1.87936i | 0.129006 | + | 0.991644i | \(0.458821\pi\) |
−0.460388 | + | 0.887718i | \(0.652290\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.58474 | − | 6.20895i | −0.233842 | − | 0.405027i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.39487 | + | 2.00954i | −0.155564 | + | 0.130533i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4.93291 | + | 8.54405i | −0.319084 | + | 0.552669i | −0.980297 | − | 0.197529i | \(-0.936708\pi\) |
0.661214 | + | 0.750198i | \(0.270042\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.80460 | − | 1.74873i | −0.309492 | − | 0.112646i | 0.182605 | − | 0.983186i | \(-0.441547\pi\) |
−0.492096 | + | 0.870541i | \(0.663769\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −2.62148 | − | 14.8672i | −0.168168 | − | 0.953728i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.24190 | + | 1.04208i | 0.0793423 | + | 0.0665761i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 23.9487 | + | 2.97961i | 1.52382 | + | 0.189588i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3.25849 | − | 2.73420i | −0.206498 | − | 0.173273i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5.36940 | − | 30.4514i | −0.338914 | − | 1.92208i | −0.384521 | − | 0.923116i | \(-0.625633\pi\) |
0.0456071 | − | 0.998959i | \(-0.485478\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.83186 | + | 1.75865i | 0.303777 | + | 0.110566i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.07959 | − | 1.86990i | 0.0676065 | − | 0.117098i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 10.5875 | − | 8.88396i | 0.660429 | − | 0.554166i | −0.249786 | − | 0.968301i | \(-0.580360\pi\) |
0.910215 | + | 0.414135i | \(0.135916\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.57154 | − | 7.91814i | −0.284062 | − | 0.492009i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.20909 | + | 12.5284i | −0.136739 | + | 0.775488i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 21.5805 | − | 7.85467i | 1.33071 | − | 0.484340i | 0.423837 | − | 0.905739i | \(-0.360683\pi\) |
0.906875 | + | 0.421399i | \(0.138461\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.00527 | 0.184612 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6.47452 | 0.396234 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −25.3054 | + | 9.21042i | −1.54290 | + | 0.561569i | −0.966738 | − | 0.255767i | \(-0.917672\pi\) |
−0.576161 | + | 0.817337i | \(0.695450\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.247964 | − | 1.40628i | 0.0150628 | − | 0.0854251i | −0.976350 | − | 0.216197i | \(-0.930635\pi\) |
0.991412 | + | 0.130772i | \(0.0417457\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 4.58463 | + | 7.94082i | 0.277475 | + | 0.480600i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.41239 | − | 2.02424i | 0.145473 | − | 0.122066i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.29459 | + | 7.43844i | −0.258037 | + | 0.446933i | −0.965716 | − | 0.259601i | \(-0.916409\pi\) |
0.707679 | + | 0.706534i | \(0.249742\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −4.73589 | − | 1.72372i | −0.283531 | − | 0.103197i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.717482 | − | 4.06904i | −0.0428014 | − | 0.242739i | 0.955900 | − | 0.293694i | \(-0.0948846\pi\) |
−0.998701 | + | 0.0509551i | \(0.983773\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −21.6523 | − | 18.1684i | −1.28710 | − | 1.08000i | −0.992224 | − | 0.124465i | \(-0.960279\pi\) |
−0.294872 | − | 0.955537i | \(-0.595277\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.21160 | + | 2.86715i | 0.0717688 | + | 0.169835i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.7698 | + | 10.7151i | 0.753776 | + | 0.632493i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.36441 | − | 7.73795i | −0.0802594 | − | 0.455173i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 6.39548 | + | 2.32776i | 0.374910 | + | 0.136456i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −15.5670 | + | 26.9629i | −0.909436 | + | 1.57519i | −0.0945860 | + | 0.995517i | \(0.530153\pi\) |
−0.814850 | + | 0.579672i | \(0.803181\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.466370 | − | 0.391331i | 0.0271531 | − | 0.0227842i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −6.17296 | − | 10.6919i | −0.358192 | − | 0.620406i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.56980 | − | 8.90280i | 0.0907841 | − | 0.514862i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.525514 | + | 0.191271i | −0.0302901 | + | 0.0110247i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −13.5927 | −0.780878 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 10.7898 | 0.617820 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.77449 | − | 2.82968i | 0.443714 | − | 0.161499i | −0.110494 | − | 0.993877i | \(-0.535243\pi\) |
0.554208 | + | 0.832378i | \(0.313021\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.788827 | − | 4.47366i | 0.0448748 | − | 0.254498i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −6.16019 | − | 10.6698i | −0.349313 | − | 0.605027i | 0.636815 | − | 0.771017i | \(-0.280252\pi\) |
−0.986128 | + | 0.165990i | \(0.946918\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.677188 | + | 0.568228i | −0.0382769 | + | 0.0321181i | −0.661725 | − | 0.749746i | \(-0.730176\pi\) |
0.623449 | + | 0.781864i | \(0.285731\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.88753 | − | 5.00135i | 0.162694 | − | 0.281794i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −11.7423 | − | 4.27383i | −0.659511 | − | 0.240042i | −0.00948585 | − | 0.999955i | \(-0.503019\pi\) |
−0.650025 | + | 0.759913i | \(0.725242\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.79380 | + | 15.8444i | 0.156422 | + | 0.887116i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −9.72791 | − | 8.16268i | −0.542959 | − | 0.455597i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −11.7338 | − | 6.00244i | −0.652885 | − | 0.333985i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.24125 | − | 3.55883i | −0.235262 | − | 0.197408i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.25285 | − | 12.7766i | −0.124583 | − | 0.706546i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −15.6249 | − | 5.68699i | −0.861427 | − | 0.313534i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.01501 | + | 5.22215i | −0.165720 | + | 0.287035i | −0.936911 | − | 0.349569i | \(-0.886328\pi\) |
0.771191 | + | 0.636604i | \(0.219661\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 7.51998 | − | 6.31001i | 0.412092 | − | 0.345786i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −7.50794 | − | 13.0041i | −0.410203 | − | 0.710492i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.84817 | − | 16.1528i | 0.155150 | − | 0.879899i | −0.803499 | − | 0.595306i | \(-0.797031\pi\) |
0.958649 | − | 0.284592i | \(-0.0918582\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −5.31719 | + | 1.93530i | −0.288790 | + | 0.105111i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.37377 | −0.345159 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.9945 | 1.07960 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.09565 | − | 0.398785i | 0.0589879 | − | 0.0214698i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.88989 | − | 10.7181i | 0.101454 | − | 0.575377i | −0.891123 | − | 0.453762i | \(-0.850082\pi\) |
0.992577 | − | 0.121615i | \(-0.0388073\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.22388 | − | 2.11982i | −0.0655127 | − | 0.113471i | 0.831409 | − | 0.555662i | \(-0.187535\pi\) |
−0.896921 | + | 0.442190i | \(0.854202\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −16.6274 | + | 13.9520i | −0.887504 | + | 0.744705i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −11.7923 | + | 20.4248i | −0.627639 | + | 1.08710i | 0.360385 | + | 0.932804i | \(0.382645\pi\) |
−0.988024 | + | 0.154299i | \(0.950688\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.28550 | + | 1.55979i | 0.227450 | + | 0.0827852i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.869564 | − | 4.93154i | −0.0460222 | − | 0.261005i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −10.3699 | − | 8.70141i | −0.547304 | − | 0.459243i | 0.326723 | − | 0.945120i | \(-0.394056\pi\) |
−0.874027 | + | 0.485877i | \(0.838500\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.1038 | − | 8.27411i | 0.900199 | − | 0.435479i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.592340 | + | 0.497033i | 0.0310898 | + | 0.0260874i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.51554 | + | 14.2663i | 0.131669 | + | 0.746735i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.01361 | − | 2.55274i | −0.366107 | − | 0.133252i | 0.152414 | − | 0.988317i | \(-0.451295\pi\) |
−0.518522 | + | 0.855065i | \(0.673517\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −8.94890 | + | 15.4999i | −0.465861 | + | 0.806895i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5.33925 | − | 4.48016i | 0.277200 | − | 0.232599i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.4309 | − | 19.7989i | −0.591869 | − | 1.02515i | −0.993981 | − | 0.109556i | \(-0.965057\pi\) |
0.402112 | − | 0.915591i | \(-0.368276\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.124000 | − | 0.703239i | 0.00640333 | − | 0.0363151i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 26.5801 | − | 9.67436i | 1.36894 | − | 0.498255i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −21.3110 | −1.09467 | −0.547337 | − | 0.836913i | \(-0.684358\pi\) | ||||
−0.547337 | + | 0.836913i | \(0.684358\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.77667 | −0.244716 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 14.8002 | − | 5.38683i | 0.756255 | − | 0.275254i | 0.0650198 | − | 0.997884i | \(-0.479289\pi\) |
0.691235 | + | 0.722630i | \(0.257067\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.26826 | − | 7.19264i | 0.0646363 | − | 0.366571i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.300219 | − | 0.519995i | −0.0152610 | − | 0.0264328i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 14.7732 | − | 12.3962i | 0.749033 | − | 0.628513i | −0.186214 | − | 0.982509i | \(-0.559622\pi\) |
0.935247 | + | 0.353996i | \(0.115177\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.46855 | + | 4.27565i | −0.124840 | + | 0.216229i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.67321 | + | 2.79282i | 0.387062 | + | 0.140879i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.760233 | − | 4.31150i | −0.0382515 | − | 0.216935i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −12.0637 | − | 10.1227i | −0.605462 | − | 0.508043i | 0.287734 | − | 0.957710i | \(-0.407098\pi\) |
−0.893196 | + | 0.449667i | \(0.851543\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 6.42682 | + | 3.28765i | 0.321743 | + | 0.164588i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 12.6661 | + | 10.6281i | 0.632515 | + | 0.530743i | 0.901709 | − | 0.432343i | \(-0.142313\pi\) |
−0.269194 | + | 0.963086i | \(0.586757\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.94587 | + | 11.0356i | 0.0969306 | + | 0.549721i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 4.38905 | + | 1.59748i | 0.218094 | + | 0.0793796i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.20745 | − | 10.7516i | 0.307692 | − | 0.532938i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −24.5460 | + | 20.5965i | −1.21372 | + | 1.01843i | −0.214590 | + | 0.976704i | \(0.568842\pi\) |
−0.999129 | + | 0.0417273i | \(0.986714\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.882843 | + | 1.52913i | 0.0435474 | + | 0.0754264i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.245183 | − | 1.39050i | 0.0120647 | − | 0.0684221i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.59754 | − | 2.03734i | 0.274772 | − | 0.100009i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 15.7932 | 0.773397 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −14.3431 | −0.700706 | −0.350353 | − | 0.936618i | \(-0.613938\pi\) | ||||
−0.350353 | + | 0.936618i | \(0.613938\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −26.6417 | + | 9.69680i | −1.29844 | + | 0.472593i | −0.896488 | − | 0.443068i | \(-0.853890\pi\) |
−0.401951 | + | 0.915661i | \(0.631668\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.10006 | − | 17.5813i | 0.150730 | − | 0.854834i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.51184 | + | 2.61859i | 0.0733352 | + | 0.127020i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 19.1694 | − | 16.0851i | 0.927674 | − | 0.778411i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −6.22523 | + | 10.7824i | −0.300557 | + | 0.520579i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 8.90106 | + | 3.23972i | 0.428749 | + | 0.156052i | 0.547376 | − | 0.836887i | \(-0.315627\pi\) |
−0.118627 | + | 0.992939i | \(0.537849\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.88247 | + | 10.6760i | 0.0904658 | + | 0.513057i | 0.996043 | + | 0.0888752i | \(0.0283272\pi\) |
−0.905577 | + | 0.424182i | \(0.860562\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.79471 | + | 2.34504i | 0.133996 | + | 0.112436i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −2.77039 | − | 6.55592i | −0.132526 | − | 0.313612i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.82279 | + | 5.72500i | 0.325634 | + | 0.273239i | 0.790918 | − | 0.611922i | \(-0.209603\pi\) |
−0.465284 | + | 0.885161i | \(0.654048\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.700999 | + | 3.97556i | 0.0333809 | + | 0.189312i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −24.4075 | − | 8.88360i | −1.15963 | − | 0.422073i | −0.310668 | − | 0.950518i | \(-0.600553\pi\) |
−0.848967 | + | 0.528446i | \(0.822775\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.53342 | + | 7.85212i | −0.214905 | + | 0.372226i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 7.54411 | − | 6.33026i | 0.356824 | − | 0.299411i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −0.721317 | − | 1.24936i | −0.0340410 | − | 0.0589608i | 0.848503 | − | 0.529191i | \(-0.177504\pi\) |
−0.882544 | + | 0.470230i | \(0.844171\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.93052 | + | 22.2911i | −0.185081 | + | 1.04965i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.33461 | − | 0.485757i | 0.0627053 | − | 0.0228229i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −12.8405 | −0.601973 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.0470 | 0.797427 | 0.398713 | − | 0.917076i | \(-0.369457\pi\) | ||||
0.398713 | + | 0.917076i | \(0.369457\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 11.1392 | − | 4.05433i | 0.519932 | − | 0.189240i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 5.87148 | − | 33.2988i | 0.273462 | − | 1.55088i | −0.470343 | − | 0.882484i | \(-0.655870\pi\) |
0.743805 | − | 0.668396i | \(-0.233019\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.6374 | − | 23.6208i | −0.633786 | − | 1.09775i | −0.986771 | − | 0.162121i | \(-0.948167\pi\) |
0.352985 | − | 0.935629i | \(-0.385167\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.10716 | + | 0.929014i | −0.0513431 | + | 0.0430820i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −5.46671 | + | 9.46862i | −0.252969 | + | 0.438156i | −0.964342 | − | 0.264659i | \(-0.914740\pi\) |
0.711373 | + | 0.702815i | \(0.248074\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −32.7250 | − | 11.9109i | −1.51110 | − | 0.549996i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.00246382 | + | 0.0139730i | 0.000113527 | + | 0.000643843i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.581705 | − | 0.488108i | −0.0267468 | − | 0.0224432i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.32555 | − | 0.538170i | −0.198470 | − | 0.0246929i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.73258 | + | 4.81021i | 0.262477 | + | 0.220244i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −1.00848 | − | 5.71936i | −0.0460785 | − | 0.261324i | 0.953062 | − | 0.302775i | \(-0.0979131\pi\) |
−0.999141 | + | 0.0414508i | \(0.986802\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −20.5105 | − | 7.46519i | −0.935196 | − | 0.340384i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.35207 | − | 2.34186i | 0.0615214 | − | 0.106558i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.30113 | + | 6.12637i | −0.331527 | + | 0.278184i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.3401 | + | 28.3019i | 0.740442 | + | 1.28248i | 0.952294 | + | 0.305181i | \(0.0987170\pi\) |
−0.211853 | + | 0.977302i | \(0.567950\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −1.25106 | + | 7.09511i | −0.0565748 | + | 0.320852i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 34.3475 | − | 12.5015i | 1.55008 | − | 0.564184i | 0.581645 | − | 0.813443i | \(-0.302409\pi\) |
0.968437 | + | 0.249259i | \(0.0801872\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15.4478 | −0.695735 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 7.84164 | 0.352455 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 9.93903 | − | 3.61751i | 0.445827 | − | 0.162268i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.22383 | + | 12.6120i | −0.0995523 | + | 0.564589i | 0.893705 | + | 0.448656i | \(0.148097\pi\) |
−0.993257 | + | 0.115934i | \(0.963014\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 5.00196 | + | 8.66365i | 0.223471 | + | 0.387063i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −29.7181 | + | 24.9364i | −1.32506 | + | 1.11186i | −0.339858 | + | 0.940477i | \(0.610379\pi\) |
−0.985204 | + | 0.171383i | \(0.945176\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.51751 | − | 16.4848i | 0.423524 | − | 0.733564i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 11.8459 | + | 4.31155i | 0.526095 | + | 0.191483i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.35459 | + | 7.68223i | 0.0600409 | + | 0.340509i | 1.00000 | 0.000778981i | \(-0.000247957\pi\) | |
−0.939959 | + | 0.341288i | \(0.889137\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 25.7370 | + | 21.5959i | 1.13854 | + | 0.955348i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −5.02249 | + | 16.3339i | −0.221748 | + | 0.721158i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 4.87319 | + | 4.08910i | 0.214739 | + | 0.180187i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.92059 | − | 22.2348i | −0.172427 | − | 0.977884i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −2.55521 | − | 0.930020i | −0.112161 | − | 0.0408233i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −11.8725 | + | 20.5638i | −0.520145 | + | 0.900918i | 0.479580 | + | 0.877498i | \(0.340789\pi\) |
−0.999726 | + | 0.0234202i | \(0.992544\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −32.0810 | + | 26.9192i | −1.40280 | + | 1.17709i | −0.442966 | + | 0.896538i | \(0.646074\pi\) |
−0.959838 | + | 0.280554i | \(0.909482\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.828065 | − | 1.43425i | −0.0361397 | − | 0.0625959i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.06270 | − | 6.02686i | 0.0462919 | − | 0.262534i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.1077 | − | 6.95462i | 0.830767 | − | 0.302375i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.51597 | 0.0657874 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 39.7948 | 1.72370 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 16.7109 | − | 6.08227i | 0.722475 | − | 0.262959i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.31379 | + | 7.45090i | −0.0566944 | + | 0.321530i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 2.55269 | + | 4.42138i | 0.109952 | + | 0.190442i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.29180 | − | 3.60124i | 0.184519 | − | 0.154830i | −0.545849 | − | 0.837883i | \(-0.683793\pi\) |
0.730368 | + | 0.683054i | \(0.239349\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.61682 | − | 4.53246i | 0.112298 | − | 0.194507i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 17.0725 | + | 6.21388i | 0.731306 | + | 0.266174i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.13453 | + | 40.4619i | 0.305050 | + | 1.73003i | 0.623268 | + | 0.782008i | \(0.285805\pi\) |
−0.318218 | + | 0.948018i | \(0.603084\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 20.5816 | + | 17.2700i | 0.878401 | + | 0.737066i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 13.4306 | − | 17.7635i | 0.572163 | − | 0.756752i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.77811 | − | 6.52661i | −0.330759 | − | 0.277539i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.488845 | − | 2.77238i | −0.0207503 | − | 0.117681i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 1.84636 | + | 0.672021i | 0.0782329 | + | 0.0284744i | 0.380840 | − | 0.924641i | \(-0.375635\pi\) |
−0.302607 | + | 0.953115i | \(0.597857\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.667521 | + | 1.15618i | −0.0282331 | + | 0.0489012i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 5.20878 | − | 4.37068i | 0.219915 | − | 0.184530i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 8.21286 | + | 14.2251i | 0.346131 | + | 0.599516i | 0.985559 | − | 0.169335i | \(-0.0541620\pi\) |
−0.639428 | + | 0.768851i | \(0.720829\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.37599 | − | 7.80362i | 0.0578883 | − | 0.328301i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 10.1792 | − | 3.70493i | 0.427486 | − | 0.155592i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −14.9560 | −0.626989 | −0.313494 | − | 0.949590i | \(-0.601500\pi\) | ||||
−0.313494 | + | 0.949590i | \(0.601500\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −41.0971 | −1.71986 | −0.859930 | − | 0.510412i | \(-0.829493\pi\) | ||||
−0.859930 | + | 0.510412i | \(0.829493\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 12.0345 | − | 4.38020i | 0.502749 | − | 0.182986i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.283534 | + | 1.60800i | −0.0118242 | + | 0.0670583i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −0.00404408 | − | 0.00700455i | −0.000168357 | − | 0.000291603i | 0.865941 | − | 0.500146i | \(-0.166720\pi\) |
−0.866110 | + | 0.499854i | \(0.833387\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 2.83241 | − | 2.37668i | 0.117711 | − | 0.0987712i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.90755 | − | 11.9642i | 0.286574 | − | 0.496360i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.89330 | + | 3.23690i | 0.368323 | + | 0.134059i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.39400 | − | 13.5770i | −0.0989795 | − | 0.561341i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 19.7483 | + | 16.5708i | 0.815100 | + | 0.683950i | 0.951819 | − | 0.306660i | \(-0.0992114\pi\) |
−0.136719 | + | 0.990610i | \(0.543656\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.00639 | + | 6.46186i | 0.247489 | + | 0.266256i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.712644 | + | 0.597979i | 0.0293143 | + | 0.0245976i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 7.66557 | + | 43.4736i | 0.314787 | + | 1.78525i | 0.573410 | + | 0.819268i | \(0.305620\pi\) |
−0.258623 | + | 0.965978i | \(0.583269\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.58970 | + | 2.39845i | 0.270151 | + | 0.0983271i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −4.34034 | + | 7.51769i | −0.177638 | + | 0.307678i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16.8792 | − | 14.1633i | 0.689665 | − | 0.578698i | −0.229148 | − | 0.973392i | \(-0.573594\pi\) |
0.918813 | + | 0.394694i | \(0.129149\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.7335 | − | 25.5192i | −0.600993 | − | 1.04095i | −0.992671 | − | 0.120848i | \(-0.961439\pi\) |
0.391678 | − | 0.920102i | \(-0.371895\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.49283 | − | 36.8227i | 0.264409 | − | 1.49954i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.01754 | + | 0.370354i | −0.0413689 | + | 0.0150570i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −48.9118 | −1.98527 | −0.992635 | − | 0.121143i | \(-0.961344\pi\) | ||||
−0.992635 | + | 0.121143i | \(0.961344\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 8.46107 | 0.342860 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −37.3004 | + | 13.5762i | −1.50901 | + | 0.549235i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.42748 | − | 8.09563i | 0.0576553 | − | 0.326979i | −0.942315 | − | 0.334728i | \(-0.891355\pi\) |
0.999970 | + | 0.00774885i | \(0.00246656\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 2.56630 | + | 4.44497i | 0.103483 | + | 0.179238i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 23.2296 | − | 19.4920i | 0.935190 | − | 0.784718i | −0.0415517 | − | 0.999136i | \(-0.513230\pi\) |
0.976742 | + | 0.214419i | \(0.0687857\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.79735 | − | 4.84515i | 0.112435 | − | 0.194743i | −0.804317 | − | 0.594201i | \(-0.797468\pi\) |
0.916751 | + | 0.399458i | \(0.130802\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.01521 | + | 2.18936i | 0.241382 | + | 0.0878560i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 3.65149 | + | 20.7086i | 0.146294 | + | 0.829673i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.497270 | + | 9.78954i | 0.0198590 | + | 0.390957i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 9.13146 | + | 7.66220i | 0.364095 | + | 0.305512i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.0628199 | + | 0.356269i | 0.00250082 | + | 0.0141829i | 0.986033 | − | 0.166552i | \(-0.0532634\pi\) |
−0.983532 | + | 0.180735i | \(0.942152\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 17.9048 | + | 6.51681i | 0.711652 | + | 0.259020i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 3.34460 | − | 5.79301i | 0.132726 | − | 0.229889i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.87587 | − | 5.76954i | 0.272432 | − | 0.228598i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 5.67804 | + | 9.83465i | 0.224620 | + | 0.389053i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −6.77181 | + | 38.4048i | −0.267470 | + | 1.51690i | 0.494437 | + | 0.869214i | \(0.335374\pi\) |
−0.761907 | + | 0.647686i | \(0.775737\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.65858 | + | 0.603673i | −0.0654079 | + | 0.0238065i | −0.374517 | − | 0.927220i | \(-0.622191\pi\) |
0.309109 | + | 0.951027i | \(0.399969\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.172189 | −0.00677995 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −31.8882 | −1.25366 | −0.626828 | − | 0.779158i | \(-0.715647\pi\) | ||||
−0.626828 | + | 0.779158i | \(0.715647\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.80159 | − | 0.655725i | 0.0707186 | − | 0.0257395i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.582060 | + | 3.30103i | −0.0228127 | + | 0.129377i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 10.2106 | + | 17.6853i | 0.399573 | + | 0.692081i | 0.993673 | − | 0.112310i | \(-0.0358250\pi\) |
−0.594100 | + | 0.804391i | \(0.702492\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −8.75979 | + | 7.35034i | −0.342273 | + | 0.287201i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −18.0362 | + | 31.2396i | −0.703658 | + | 1.21877i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 24.1407 | + | 8.78649i | 0.940387 | + | 0.342273i | 0.766319 | − | 0.642461i | \(-0.222086\pi\) |
0.174068 | + | 0.984734i | \(0.444309\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.441437 | − | 2.50351i | −0.0171699 | − | 0.0973753i | 0.975019 | − | 0.222123i | \(-0.0712988\pi\) |
−0.992188 | + | 0.124748i | \(0.960188\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −9.15761 | − | 7.68415i | −0.355652 | − | 0.298428i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −8.48719 | + | 5.49227i | −0.329119 | + | 0.212981i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.39028 | − | 5.36208i | −0.247433 | − | 0.207621i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −1.38647 | − | 7.86304i | −0.0536039 | − | 0.304003i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 31.9295 | + | 11.6214i | 1.23262 | + | 0.448638i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.09447 | − | 1.89568i | 0.0421888 | − | 0.0730731i | −0.844160 | − | 0.536091i | \(-0.819900\pi\) |
0.886349 | + | 0.463018i | \(0.153234\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.00320 | − | 2.51998i | 0.115593 | − | 0.0969942i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 17.8893 | + | 30.9853i | 0.687544 | + | 1.19086i | 0.972630 | + | 0.232359i | \(0.0746443\pi\) |
−0.285087 | + | 0.958502i | \(0.592022\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.83839 | + | 21.7686i | −0.147304 | + | 0.835402i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.379217 | − | 0.138024i | 0.0145316 | − | 0.00528909i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −22.0944 | −0.845420 | −0.422710 | − | 0.906265i | \(-0.638921\pi\) | ||||
−0.422710 | + | 0.906265i | \(0.638921\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.47265 | −0.0944749 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.36009 | + | 0.495033i | −0.0518907 | + | 0.0188867i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2.88931 | − | 16.3861i | 0.110074 | − | 0.624260i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −20.2387 | − | 35.0544i | −0.769916 | − | 1.33353i | −0.937608 | − | 0.347694i | \(-0.886965\pi\) |
0.167693 | − | 0.985839i | \(-0.446368\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 13.9317 | − | 11.6901i | 0.529221 | − | 0.444069i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −11.0583 | + | 19.1536i | −0.419466 | + | 0.726536i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −20.4225 | − | 7.43318i | −0.773557 | − | 0.281552i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 3.61209 | + | 20.4852i | 0.136622 | + | 0.774821i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 13.2392 | + | 11.1090i | 0.500037 | + | 0.419581i | 0.857607 | − | 0.514305i | \(-0.171950\pi\) |
−0.357570 | + | 0.933886i | \(0.616395\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −16.7498 | + | 3.83866i | −0.631732 | + | 0.144778i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −3.92187 | − | 3.29084i | −0.147706 | − | 0.123940i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −7.66596 | − | 43.4758i | −0.288308 | − | 1.63508i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −15.2703 | − | 5.55795i | −0.573490 | − | 0.208733i | 0.0389627 | − | 0.999241i | \(-0.487595\pi\) |
−0.612452 | + | 0.790507i | \(0.709817\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 5.45080 | − | 9.44105i | 0.204421 | − | 0.354067i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 2.53158 | − | 2.12425i | 0.0948086 | − | 0.0795538i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.71773 | − | 15.0996i | −0.326025 | − | 0.564691i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.22336 | + | 6.93803i | −0.0456873 | + | 0.259106i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −38.8579 | + | 14.1431i | −1.44915 | + | 0.527449i | −0.942355 | − | 0.334615i | \(-0.891394\pi\) |
−0.506800 | + | 0.862064i | \(0.669172\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.7538 | 0.549459 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −3.65109 | −0.135786 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −4.80083 | + | 1.74736i | −0.178298 | + | 0.0648953i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 5.68484 | − | 32.2403i | 0.210839 | − | 1.19573i | −0.677143 | − | 0.735851i | \(-0.736782\pi\) |
0.887983 | − | 0.459877i | \(-0.152107\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.61598 | + | 2.79896i | 0.0598511 | + | 0.103665i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.558529 | − | 0.468662i | 0.0206579 | − | 0.0173341i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 21.5832 | − | 37.3832i | 0.797194 | − | 1.38078i | −0.124243 | − | 0.992252i | \(-0.539650\pi\) |
0.921437 | − | 0.388528i | \(-0.127016\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.08786 | + | 0.395947i | 0.0401262 | + | 0.0146047i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −8.21135 | − | 46.5689i | −0.302469 | − | 1.71539i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −19.8020 | − | 16.6158i | −0.728427 | − | 0.611223i | 0.201275 | − | 0.979535i | \(-0.435491\pi\) |
−0.929702 | + | 0.368312i | \(0.879936\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 16.7978 | − | 3.84965i | 0.617083 | − | 0.141420i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.6605 | − | 8.94520i | −0.391095 | − | 0.328167i | 0.425945 | − | 0.904749i | \(-0.359942\pi\) |
−0.817039 | + | 0.576582i | \(0.804386\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.39482 | + | 13.5817i | 0.0877394 | + | 0.497595i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 13.9383 | + | 5.07313i | 0.509976 | + | 0.185616i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 20.6218 | − | 35.7180i | 0.753505 | − | 1.30511i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.12380 | + | 7.65578i | −0.332932 | + | 0.279363i | −0.793893 | − | 0.608057i | \(-0.791949\pi\) |
0.460961 | + | 0.887420i | \(0.347505\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −11.0402 | − | 19.1222i | −0.402328 | − | 0.696852i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.345371 | + | 1.95870i | −0.0125694 | + | 0.0712843i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −34.8317 | + | 12.6777i | −1.26598 | + | 0.460778i | −0.885771 | − | 0.464123i | \(-0.846370\pi\) |
−0.380208 | + | 0.924901i | \(0.624147\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 3.67181 | 0.133278 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 0.464156 | 0.0168257 | 0.00841283 | − | 0.999965i | \(-0.497322\pi\) | ||||
0.00841283 | + | 0.999965i | \(0.497322\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 39.5950 | − | 14.4114i | 1.43344 | − | 0.521728i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.30744 | + | 7.41483i | −0.0472704 | + | 0.268084i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.68534 | − | 2.91909i | −0.0608540 | − | 0.105402i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.80822 | − | 3.19548i | 0.137328 | − | 0.115232i | −0.571536 | − | 0.820577i | \(-0.693652\pi\) |
0.708864 | + | 0.705345i | \(0.249208\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.93470 | − | 8.54715i | 0.177719 | − | 0.307818i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −35.9253 | − | 13.0757i | −1.29214 | − | 0.470302i | −0.397713 | − | 0.917510i | \(-0.630196\pi\) |
−0.894430 | + | 0.447208i | \(0.852418\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.351458 | − | 1.99322i | −0.0126247 | − | 0.0715985i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −5.00147 | − | 4.19673i | −0.179427 | − | 0.150557i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 26.3031 | − | 17.0214i | 0.942407 | − | 0.609855i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 11.0018 | + | 9.23159i | 0.393674 | + | 0.330332i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.47801 | + | 19.7248i | 0.124294 | + | 0.704906i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −0.0186713 | − | 0.00679578i | −0.000666406 | − | 0.000242552i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −11.9870 | + | 20.7621i | −0.427291 | + | 0.740090i | −0.996631 | − | 0.0820119i | \(-0.973865\pi\) |
0.569340 | + | 0.822102i | \(0.307199\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 12.5627 | − | 10.5413i | 0.447243 | − | 0.375281i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −9.18878 | − | 15.9154i | −0.326715 | − | 0.565887i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10.3734 | − | 58.8306i | 0.368371 | − | 2.08914i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2.01660 | − | 0.733984i | 0.0715216 | − | 0.0260317i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 29.1600 | 1.03290 | 0.516450 | − | 0.856317i | \(-0.327253\pi\) | ||||
0.516450 | + | 0.856317i | \(0.327253\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 21.6782 | 0.766921 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −21.2156 | + | 7.72184i | −0.749616 | + | 0.272838i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −7.92182 | + | 44.9269i | −0.279555 | + | 1.58544i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.89343 | + | 3.27951i | 0.0667345 | + | 0.115588i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −14.7310 | + | 12.3608i | −0.518557 | + | 0.435121i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −8.25448 | + | 14.2972i | −0.290212 | + | 0.502662i | −0.973860 | − | 0.227150i | \(-0.927059\pi\) |
0.683648 | + | 0.729812i | \(0.260393\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 17.6902 | + | 6.43870i | 0.621186 | + | 0.226093i | 0.633391 | − | 0.773832i | \(-0.281663\pi\) |
−0.0122045 | + | 0.999926i | \(0.503885\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.177068 | − | 1.00420i | −0.00621005 | − | 0.0352190i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −7.72876 | − | 6.48520i | −0.270727 | − | 0.227167i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.0533214 | + | 1.04972i | 0.00186548 | + | 0.0367250i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −24.4935 | − | 20.5525i | −0.855871 | − | 0.718161i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −9.24920 | − | 52.4548i | −0.322799 | − | 1.83068i | −0.524710 | − | 0.851281i | \(-0.675826\pi\) |
0.201911 | − | 0.979404i | \(-0.435285\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.1418 | + | 6.23909i | 0.597524 | + | 0.217481i | 0.623036 | − | 0.782194i | \(-0.285899\pi\) |
−0.0255114 | + | 0.999675i | \(0.508121\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.12439 | − | 1.94749i | 0.0391461 | − | 0.0678030i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −3.53939 | + | 2.96990i | −0.123077 | + | 0.103274i | −0.702249 | − | 0.711932i | \(-0.747820\pi\) |
0.579172 | + | 0.815205i | \(0.303376\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −16.1562 | − | 27.9833i | −0.561128 | − | 0.971901i | −0.997398 | − | 0.0720861i | \(-0.977034\pi\) |
0.436271 | − | 0.899815i | \(-0.356299\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.06506 | + | 6.04024i | −0.0369465 | + | 0.209534i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −4.60635 | + | 1.67657i | −0.159600 | + | 0.0580898i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −14.0094 | −0.484815 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −7.93475 | −0.274265 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 27.8440 | − | 10.1344i | 0.961280 | − | 0.349877i | 0.186745 | − | 0.982408i | \(-0.440206\pi\) |
0.774535 | + | 0.632531i | \(0.217984\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.503361 | + | 2.85470i | −0.0173573 | + | 0.0984379i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −1.47524 | − | 2.55519i | −0.0508099 | − | 0.0880053i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −13.5234 | + | 11.3474i | −0.465218 | + | 0.390364i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.25568 | + | 2.17490i | −0.0431457 | + | 0.0747305i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −18.9665 | − | 6.90325i | −0.650929 | − | 0.236919i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.11778 | + | 6.33922i | 0.0383169 | + | 0.217306i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −23.6305 | − | 19.8283i | −0.809092 | − | 0.678909i | 0.141299 | − | 0.989967i | \(-0.454872\pi\) |
−0.950391 | + | 0.311058i | \(0.899317\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −7.38964 | − | 7.95000i | −0.252720 | − | 0.271884i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −10.0351 | − | 8.42045i | −0.342792 | − | 0.287637i | 0.455096 | − | 0.890443i | \(-0.349605\pi\) |
−0.797888 | + | 0.602805i | \(0.794049\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.180797 | − | 1.02535i | −0.00616873 | − | 0.0349846i | 0.981568 | − | 0.191113i | \(-0.0612097\pi\) |
−0.987737 | + | 0.156128i | \(0.950099\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 11.1858 | + | 4.07130i | 0.381211 | + | 0.138749i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −7.00427 | + | 12.1318i | −0.238428 | + | 0.412970i | −0.960263 | − | 0.279095i | \(-0.909966\pi\) |
0.721835 | + | 0.692065i | \(0.243299\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.91704 | − | 2.44769i | 0.0991825 | − | 0.0832240i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −2.80541 | − | 4.85911i | −0.0952766 | − | 0.165024i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.39409 | − | 13.5776i | 0.0812140 | − | 0.460587i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −78.1226 | + | 28.4343i | −2.64708 | + | 0.963459i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −23.7328 | −0.803234 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.31923 | 0.0784042 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −46.8125 | + | 17.0383i | −1.58074 | + | 0.575344i | −0.975366 | − | 0.220593i | \(-0.929201\pi\) |
−0.605379 | + | 0.795937i | \(0.706978\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −3.86062 | + | 21.8947i | −0.130216 | + | 0.738490i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1.53504 | + | 2.65877i | 0.0517168 | + | 0.0895761i | 0.890725 | − | 0.454543i | \(-0.150197\pi\) |
−0.839008 | + | 0.544119i | \(0.816864\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.5594 | − | 13.0559i | 0.523616 | − | 0.439366i | −0.342274 | − | 0.939600i | \(-0.611197\pi\) |
0.865890 | + | 0.500234i | \(0.166753\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.217369 | − | 0.376495i | 0.00730679 | − | 0.0126557i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −4.46339 | − | 1.62454i | −0.149866 | − | 0.0545468i | 0.265998 | − | 0.963974i | \(-0.414299\pi\) |
−0.415864 | + | 0.909427i | \(0.636521\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.69393 | − | 15.2781i | −0.0903516 | − | 0.512410i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 11.2676 | + | 9.45466i | 0.377480 | + | 0.316743i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −18.8474 | + | 24.9279i | −0.630705 | + | 0.834181i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −8.11633 | − | 6.81041i | −0.271299 | − | 0.227647i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −1.12098 | − | 6.35738i | −0.0374284 | − | 0.212267i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 9.71672 | + | 3.53660i | 0.324071 | + | 0.117952i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.54350 | + | 7.86957i | −0.151366 | + | 0.262173i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.305917 | + | 0.256695i | −0.0101803 | + | 0.00854227i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 3.66456 | + | 6.34721i | 0.121814 | + | 0.210988i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4.59549 | + | 26.0623i | −0.152591 | + | 0.865385i | 0.808365 | + | 0.588682i | \(0.200353\pi\) |
−0.960955 | + | 0.276703i | \(0.910758\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 44.5402 | − | 16.2113i | 1.47731 | − | 0.537695i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 44.1499 | 1.46275 | 0.731375 | − | 0.681975i | \(-0.238879\pi\) | ||||
0.731375 | + | 0.681975i | \(0.238879\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 18.7588 | 0.620825 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 7.24018 | − | 2.63521i | 0.239353 | − | 0.0871174i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −4.60525 | + | 26.1177i | −0.152079 | + | 0.862481i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −15.0032 | − | 25.9864i | −0.494912 | − | 0.857212i | 0.505071 | − | 0.863078i | \(-0.331466\pi\) |
−0.999983 | + | 0.00586572i | \(0.998133\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.52576 | − | 3.79756i | 0.149129 | − | 0.125134i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 12.6248 | − | 21.8668i | 0.415551 | − | 0.719755i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.70455 | + | 1.34835i | 0.121805 | + | 0.0443333i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 2.75070 | + | 15.6000i | 0.0903448 | + | 0.512371i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −34.7617 | − | 29.1685i | −1.14049 | − | 0.956988i | −0.141039 | − | 0.990004i | \(-0.545044\pi\) |
−0.999455 | + | 0.0330164i | \(0.989489\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.07694 | − | 6.75450i | 0.0680688 | − | 0.221370i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −6.73953 | − | 5.65514i | −0.220642 | − | 0.185141i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.65349 | + | 9.37739i | 0.0540748 | + | 0.306673i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11.7430 | − | 4.27412i | −0.383628 | − | 0.139629i | 0.143005 | − | 0.989722i | \(-0.454324\pi\) |
−0.526633 | + | 0.850093i | \(0.676546\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.315629 | + | 0.546685i | −0.0103002 | + | 0.0178404i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 32.3348 | − | 27.1321i | 1.05409 | − | 0.884483i | 0.0605681 | − | 0.998164i | \(-0.480709\pi\) |
0.993517 | + | 0.113681i | \(0.0362643\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −5.86802 | − | 10.1637i | −0.191089 | − | 0.330976i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.57886 | − | 8.95416i | 0.0513603 | − | 0.291279i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −21.2492 | + | 7.73406i | −0.690505 | + | 0.251323i | −0.663351 | − | 0.748308i | \(-0.730867\pi\) |
−0.0271535 | + | 0.999631i | \(0.508644\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 80.2050 | 2.60356 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −8.92313 | −0.289352 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 26.6745 | − | 9.70873i | 0.864072 | − | 0.314497i | 0.128308 | − | 0.991734i | \(-0.459045\pi\) |
0.735764 | + | 0.677238i | \(0.236823\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.11430 | + | 17.6621i | −0.100777 | + | 0.571532i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 5.74442 | + | 9.94962i | 0.185691 | + | 0.321626i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −4.39298 | + | 3.68615i | −0.141857 | + | 0.119032i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.4518 | − | 23.2992i | 0.433928 | − | 0.751586i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 41.6115 | + | 15.1453i | 1.34091 | + | 0.488051i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0.899127 | + | 5.09920i | 0.0289439 | + | 0.164149i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.37327 | + | 2.83051i | 0.108477 | + | 0.0910230i | 0.695413 | − | 0.718610i | \(-0.255222\pi\) |
−0.586936 | + | 0.809633i | \(0.699666\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −9.33963 | − | 1.16200i | −0.300032 | − | 0.0373290i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 4.85458 | + | 4.07348i | 0.155791 | + | 0.130724i | 0.717351 | − | 0.696712i | \(-0.245354\pi\) |
−0.561560 | + | 0.827436i | \(0.689799\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 8.90702 | + | 50.5142i | 0.285546 | + | 1.61941i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −3.71516 | − | 1.35221i | −0.118980 | − | 0.0433053i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 24.9390 | − | 43.1956i | 0.797869 | − | 1.38195i | −0.123132 | − | 0.992390i | \(-0.539294\pi\) |
0.921001 | − | 0.389560i | \(-0.127373\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −21.8728 | + | 18.3534i | −0.699057 | + | 0.586578i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 22.6201 | + | 39.1792i | 0.722204 | + | 1.25089i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 5.90145 | − | 33.4688i | 0.188227 | − | 1.06749i | −0.733512 | − | 0.679677i | \(-0.762120\pi\) |
0.921739 | − | 0.387812i | \(-0.126769\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.22420 | + | 0.445573i | −0.0390063 | + | 0.0141971i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −11.8736 | −0.377940 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.393723 | 0.0125196 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −34.0508 | + | 12.3935i | −1.08166 | + | 0.393692i | −0.820525 | − | 0.571610i | \(-0.806319\pi\) |
−0.261135 | + | 0.965302i | \(0.584097\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −0.747723 | + | 4.24055i | −0.0237283 | + | 0.134570i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −6.07816 | − | 10.5277i | −0.192691 | − | 0.333750i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −40.4963 | + | 33.9805i | −1.28253 | + | 1.07617i | −0.289642 | + | 0.957135i | \(0.593536\pi\) |
−0.992890 | + | 0.119037i | \(0.962019\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 7.72769 | − | 13.3847i | 0.244493 | − | 0.423475i |
(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 | 380.2.u.a.301.2 | yes | 18 | |
19.5 | even | 9 | 7220.2.a.v.1.4 | 9 | |||
19.6 | even | 9 | inner | 380.2.u.a.101.2 | ✓ | 18 | |
19.14 | odd | 18 | 7220.2.a.x.1.6 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.u.a.101.2 | ✓ | 18 | 19.6 | even | 9 | inner | |
380.2.u.a.301.2 | yes | 18 | 1.1 | even | 1 | trivial | |
7220.2.a.v.1.4 | 9 | 19.5 | even | 9 | |||
7220.2.a.x.1.6 | 9 | 19.14 | odd | 18 |