Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(49,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 0, 46]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.y (of order \(33\), degree \(20\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 361.6 | ||
Character | \(\chi\) | \(=\) | 804.361 |
Dual form | 804.2.y.b.49.6 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{10}{33}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.841254 | + | 0.540641i | −0.485698 | + | 0.312139i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.567849 | − | 3.94948i | 0.253950 | − | 1.76626i | −0.320046 | − | 0.947402i | \(-0.603698\pi\) |
0.573996 | − | 0.818858i | \(-0.305392\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.15279 | + | 0.396544i | −1.56961 | + | 0.149879i | −0.843282 | − | 0.537471i | \(-0.819380\pi\) |
−0.726326 | + | 0.687351i | \(0.758774\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.739053 | − | 0.295872i | 0.222833 | − | 0.0892089i | −0.257560 | − | 0.966262i | \(-0.582918\pi\) |
0.480393 | + | 0.877054i | \(0.340494\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.13532 | + | 2.98952i | −0.869582 | + | 0.829145i | −0.986460 | − | 0.164002i | \(-0.947560\pi\) |
0.116878 | + | 0.993146i | \(0.462711\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.65754 | + | 3.62951i | 0.427976 | + | 0.937137i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.359898 | + | 1.03986i | 0.0872881 | + | 0.252202i | 0.980194 | − | 0.198042i | \(-0.0634582\pi\) |
−0.892906 | + | 0.450244i | \(0.851337\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.27810 | − | 0.217532i | −0.522631 | − | 0.0499052i | −0.169593 | − | 0.985514i | \(-0.554245\pi\) |
−0.353038 | + | 0.935609i | \(0.614851\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.27916 | − | 2.57876i | 0.715572 | − | 0.562732i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.343734 | + | 7.21586i | 0.0716734 | + | 1.50461i | 0.692931 | + | 0.721004i | \(0.256319\pi\) |
−0.621258 | + | 0.783606i | \(0.713378\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −10.4785 | − | 3.07675i | −2.09569 | − | 0.615350i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.142315 | + | 0.989821i | 0.0273885 | + | 0.190491i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.98209 | + | 3.43309i | 0.368066 | + | 0.637508i | 0.989263 | − | 0.146146i | \(-0.0466868\pi\) |
−0.621197 | + | 0.783654i | \(0.713353\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.92820 | + | 7.55953i | 1.42395 | + | 1.35773i | 0.835871 | + | 0.548926i | \(0.184963\pi\) |
0.588077 | + | 0.808805i | \(0.299885\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.461771 | + | 0.648466i | −0.0803839 | + | 0.112883i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.792020 | + | 16.6265i | −0.133876 | + | 2.81040i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.839814 | − | 1.45460i | 0.138065 | − | 0.239135i | −0.788699 | − | 0.614779i | \(-0.789245\pi\) |
0.926764 | + | 0.375644i | \(0.122579\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.02134 | − | 4.21003i | 0.163546 | − | 0.674144i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.67972 | + | 0.323740i | 0.262329 | + | 0.0505597i | 0.318720 | − | 0.947849i | \(-0.396747\pi\) |
−0.0563909 | + | 0.998409i | \(0.517959\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.09358 | + | 3.57018i | −0.471766 | + | 0.544447i | −0.940902 | − | 0.338679i | \(-0.890020\pi\) |
0.469136 | + | 0.883126i | \(0.344565\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.35668 | − | 2.15721i | −0.500384 | − | 0.321577i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −9.37215 | − | 4.83168i | −1.36707 | − | 0.704773i | −0.390625 | − | 0.920550i | \(-0.627741\pi\) |
−0.976443 | + | 0.215777i | \(0.930772\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 10.2149 | − | 1.96877i | 1.45928 | − | 0.281253i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.864954 | − | 0.680208i | −0.121118 | − | 0.0952481i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −7.49129 | − | 8.64541i | −1.02901 | − | 1.18754i | −0.982046 | − | 0.188642i | \(-0.939591\pi\) |
−0.0469626 | − | 0.998897i | \(-0.514954\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.748870 | − | 3.08688i | −0.100978 | − | 0.416235i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.03406 | − | 1.04863i | 0.269418 | − | 0.138895i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.92945 | + | 2.03467i | −0.902137 | + | 0.264891i | −0.699728 | − | 0.714410i | \(-0.746695\pi\) |
−0.202409 | + | 0.979301i | \(0.564877\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.49611 | − | 1.39963i | −0.447631 | − | 0.179204i | 0.136884 | − | 0.990587i | \(-0.456291\pi\) |
−0.584515 | + | 0.811383i | \(0.698715\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.36442 | + | 3.94224i | −0.171901 | + | 0.496676i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 10.0267 | + | 14.0805i | 1.24365 | + | 1.74647i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.12947 | − | 8.10705i | 0.137987 | − | 0.990434i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.19035 | − | 5.88453i | −0.504459 | − | 0.708414i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.69313 | + | 13.5599i | −0.556972 | + | 1.60927i | 0.217086 | + | 0.976152i | \(0.430345\pi\) |
−0.774059 | + | 0.633114i | \(0.781777\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.9299 | − | 5.17635i | −1.51333 | − | 0.605846i | −0.541327 | − | 0.840812i | \(-0.682078\pi\) |
−0.972004 | + | 0.234966i | \(0.924502\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 10.4785 | − | 3.07675i | 1.20995 | − | 0.355273i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.95181 | + | 1.52176i | −0.336390 | + | 0.173421i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.919920 | + | 3.79196i | 0.103499 | + | 0.426629i | 0.999861 | − | 0.0166946i | \(-0.00531431\pi\) |
−0.896361 | + | 0.443324i | \(0.853799\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −7.16855 | − | 5.63741i | −0.786850 | − | 0.618786i | 0.141735 | − | 0.989905i | \(-0.454732\pi\) |
−0.928585 | + | 0.371119i | \(0.878974\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.31126 | − | 0.830927i | 0.467622 | − | 0.0901267i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.52351 | − | 1.81650i | −0.377760 | − | 0.194749i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.83282 | + | 4.39119i | 0.724277 | + | 0.465465i | 0.850122 | − | 0.526585i | \(-0.176528\pi\) |
−0.125845 | + | 0.992050i | \(0.540164\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.8349 | − | 13.6582i | 1.24063 | − | 1.43176i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −10.7566 | − | 2.07317i | −1.11541 | − | 0.214978i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −2.15275 | + | 8.87377i | −0.220868 | + | 0.910429i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.05601 | − | 1.82906i | 0.107221 | − | 0.185713i | −0.807422 | − | 0.589974i | \(-0.799138\pi\) |
0.914644 | + | 0.404261i | \(0.132471\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.0378789 | − | 0.795176i | 0.00380697 | − | 0.0799182i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.01562 | + | 1.42624i | −0.101058 | + | 0.141916i | −0.862008 | − | 0.506894i | \(-0.830794\pi\) |
0.760951 | + | 0.648810i | \(0.224733\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.97032 | + | 4.73919i | 0.489741 | + | 0.466967i | 0.894250 | − | 0.447567i | \(-0.147709\pi\) |
−0.404510 | + | 0.914534i | \(0.632558\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.32270 | − | 14.4153i | −0.812212 | − | 1.40679i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.807747 | − | 5.61800i | −0.0780879 | − | 0.543113i | −0.990886 | − | 0.134702i | \(-0.956992\pi\) |
0.912798 | − | 0.408411i | \(-0.133917\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.42574 | − | 2.76765i | −0.902822 | − | 0.265093i | −0.202806 | − | 0.979219i | \(-0.565006\pi\) |
−0.700017 | + | 0.714127i | \(0.746824\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.0799199 | + | 1.67773i | 0.00758567 | + | 0.159243i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.38274 | + | 1.08740i | −0.130077 | + | 0.102294i | −0.681078 | − | 0.732211i | \(-0.738488\pi\) |
0.551001 | + | 0.834505i | \(0.314246\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 28.6940 | + | 2.73995i | 2.67573 | + | 0.255502i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.41691 | + | 4.09388i | 0.130993 | + | 0.378480i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.90693 | − | 4.17559i | −0.174808 | − | 0.382776i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.50242 | + | 7.15354i | −0.682038 | + | 0.650322i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.58810 | + | 0.635779i | −0.143194 | + | 0.0573263i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.81403 | + | 21.4897i | −0.877793 | + | 1.92210i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.1197 | + | 0.966319i | −0.897982 | + | 0.0857469i | −0.533829 | − | 0.845592i | \(-0.679248\pi\) |
−0.364153 | + | 0.931339i | \(0.618641\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.672298 | − | 4.67594i | 0.0591926 | − | 0.411693i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.88426 | − | 3.78158i | 0.514110 | − | 0.330398i | −0.257728 | − | 0.966217i | \(-0.582974\pi\) |
0.771838 | + | 0.635819i | \(0.219338\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.54672 | 0.827806 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.99009 | 0.343412 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 10.0866 | − | 6.48225i | 0.861754 | − | 0.553816i | −0.0334661 | − | 0.999440i | \(-0.510655\pi\) |
0.895220 | + | 0.445624i | \(0.147018\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.68219 | − | 18.6551i | 0.227501 | − | 1.58230i | −0.481084 | − | 0.876675i | \(-0.659757\pi\) |
0.708584 | − | 0.705626i | \(-0.249334\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 10.4966 | − | 1.00230i | 0.883969 | − | 0.0844088i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.43265 | + | 3.13707i | −0.119804 | + | 0.262335i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 14.6844 | − | 5.87876i | 1.21948 | − | 0.488205i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −7.52896 | + | 7.17884i | −0.620978 | + | 0.592101i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 6.84988 | + | 14.9992i | 0.561164 | + | 1.22878i | 0.951370 | + | 0.308051i | \(0.0996766\pi\) |
−0.390206 | + | 0.920728i | \(0.627596\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.74385 | − | 16.5958i | −0.467428 | − | 1.35054i | −0.894800 | − | 0.446468i | \(-0.852682\pi\) |
0.427372 | − | 0.904076i | \(-0.359440\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.09539 | + | 0.104597i | 0.0885573 | + | 0.00845620i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 34.3582 | − | 27.0196i | 2.75972 | − | 2.17027i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.703087 | + | 14.7596i | 0.0561124 | + | 1.17794i | 0.834807 | + | 0.550542i | \(0.185579\pi\) |
−0.778695 | + | 0.627403i | \(0.784118\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 10.9761 | + | 3.22289i | 0.870465 | + | 0.255591i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.28886 | − | 29.8296i | −0.338009 | − | 2.35091i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.41948 | + | 5.92270i | 0.267834 | + | 0.463902i | 0.968302 | − | 0.249782i | \(-0.0803588\pi\) |
−0.700468 | + | 0.713684i | \(0.747025\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.29889 | + | 2.19198i | 0.178968 | + | 0.170646i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −4.97340 | + | 6.98416i | −0.384853 | + | 0.540450i | −0.960874 | − | 0.276984i | \(-0.910665\pi\) |
0.576021 | + | 0.817435i | \(0.304604\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.274429 | − | 5.76096i | 0.0211099 | − | 0.443151i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.14423 | + | 1.98186i | −0.0875014 | + | 0.151557i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.22138 | − | 5.03458i | 0.0928595 | − | 0.382772i | −0.906350 | − | 0.422528i | \(-0.861143\pi\) |
0.999209 | + | 0.0397559i | \(0.0126580\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 44.7349 | + | 8.62195i | 3.38164 | + | 0.651758i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.72940 | − | 5.45801i | 0.355483 | − | 0.410249i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 11.4700 | + | 7.37133i | 0.857309 | + | 0.550959i | 0.893846 | − | 0.448373i | \(-0.147996\pi\) |
−0.0365375 | + | 0.999332i | \(0.511633\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.0200 | + | 6.71228i | 0.967770 | + | 0.498920i | 0.868256 | − | 0.496116i | \(-0.165241\pi\) |
0.0995137 | + | 0.995036i | \(0.468271\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.69781 | − | 0.712695i | 0.273350 | − | 0.0526839i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.26803 | − | 4.14282i | −0.387313 | − | 0.304586i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.573648 | + | 0.662026i | 0.0419493 | + | 0.0484121i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.983511 | − | 4.05409i | −0.0715399 | − | 0.294892i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.55560 | + | 2.86411i | −0.401989 | + | 0.207240i | −0.647351 | − | 0.762192i | \(-0.724123\pi\) |
0.245362 | + | 0.969431i | \(0.421093\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.01543 | + | 2.35354i | −0.576963 | + | 0.169412i | −0.557179 | − | 0.830393i | \(-0.688116\pi\) |
−0.0197845 | + | 0.999804i | \(0.506298\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −16.0475 | − | 6.42443i | −1.14918 | − | 0.460063i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.736663 | − | 2.12845i | 0.0524850 | − | 0.151646i | −0.915712 | − | 0.401836i | \(-0.868372\pi\) |
0.968197 | + | 0.250191i | \(0.0804933\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.9046 | − | 16.7177i | −0.843896 | − | 1.18509i | −0.980900 | − | 0.194515i | \(-0.937687\pi\) |
0.137004 | − | 0.990571i | \(-0.456253\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.43283 | + | 7.43072i | 0.242133 | + | 0.524123i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −9.59260 | − | 13.4709i | −0.673268 | − | 0.945473i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.23243 | − | 6.45019i | 0.155920 | − | 0.450501i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 6.70657 | + | 2.68490i | 0.466139 | + | 0.186614i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.74800 | + | 0.513258i | −0.120911 | + | 0.0355028i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −18.9585 | + | 9.77380i | −1.30516 | + | 0.672856i | −0.963687 | − | 0.267036i | \(-0.913956\pi\) |
−0.341472 | + | 0.939892i | \(0.610925\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.38293 | − | 13.9446i | −0.231795 | − | 0.955470i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 12.3436 | + | 14.2453i | 0.841830 | + | 0.971523i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −35.9219 | − | 28.2493i | −2.43854 | − | 1.91769i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 13.6759 | − | 2.63581i | 0.924130 | − | 0.178111i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.23707 | − | 2.18436i | −0.285016 | − | 0.146936i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −14.6881 | − | 9.43946i | −0.983587 | − | 0.632113i | −0.0531585 | − | 0.998586i | \(-0.516929\pi\) |
−0.930429 | + | 0.366473i | \(0.880565\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −7.15162 | + | 8.25341i | −0.476775 | + | 0.550227i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2.65846 | + | 0.512375i | 0.176448 | + | 0.0340075i | 0.276710 | − | 0.960954i | \(-0.410756\pi\) |
−0.100262 | + | 0.994961i | \(0.531968\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.98529 | − | 16.4276i | 0.263356 | − | 1.08557i | −0.674426 | − | 0.738342i | \(-0.735609\pi\) |
0.937782 | − | 0.347225i | \(-0.112876\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.66049 | − | 2.87606i | 0.109252 | − | 0.189231i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.33179 | + | 27.9576i | −0.0872482 | + | 1.83157i | 0.355222 | + | 0.934782i | \(0.384405\pi\) |
−0.442470 | + | 0.896783i | \(0.645898\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −24.4046 | + | 34.2714i | −1.59198 | + | 2.23562i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.82398 | − | 2.69266i | −0.183437 | − | 0.174907i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.36704 | + | 5.83189i | 0.217796 | + | 0.377234i | 0.954134 | − | 0.299380i | \(-0.0967800\pi\) |
−0.736338 | + | 0.676614i | \(0.763447\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.83205 | − | 26.6525i | −0.246844 | − | 1.71684i | −0.616233 | − | 0.787564i | \(-0.711342\pi\) |
0.369389 | − | 0.929275i | \(-0.379567\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.959493 | + | 0.281733i | 0.0615515 | + | 0.0180732i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.97506 | − | 41.4616i | −0.126182 | − | 2.64889i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.79288 | − | 6.12839i | 0.495849 | − | 0.389940i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 9.07838 | + | 0.866880i | 0.575319 | + | 0.0549363i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.73956 | + | 7.91543i | 0.172919 | + | 0.499618i | 0.997844 | − | 0.0656244i | \(-0.0209039\pi\) |
−0.824925 | + | 0.565242i | \(0.808783\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.38901 | + | 5.23120i | 0.150196 | + | 0.328883i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −3.17763 | + | 3.02986i | −0.198991 | + | 0.189737i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 10.7480 | − | 4.30286i | 0.670443 | − | 0.268405i | −0.0113656 | − | 0.999935i | \(-0.503618\pi\) |
0.681809 | + | 0.731530i | \(0.261194\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.91076 | + | 6.37368i | −0.180866 | + | 0.396041i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.94624 | − | 0.376820i | 0.244266 | − | 0.0233246i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −3.19366 | + | 22.2124i | −0.196930 | + | 1.36968i | 0.616199 | + | 0.787591i | \(0.288672\pi\) |
−0.813128 | + | 0.582084i | \(0.802237\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −38.3988 | + | 24.6774i | −2.35882 | + | 1.51592i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −8.12219 | −0.497070 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −22.2330 | −1.35557 | −0.677784 | − | 0.735261i | \(-0.737060\pi\) | ||||
−0.677784 | + | 0.735261i | \(0.737060\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.1129 | + | 9.06983i | −0.857299 | + | 0.550953i | −0.893843 | − | 0.448379i | \(-0.852001\pi\) |
0.0365442 | + | 0.999332i | \(0.488365\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.57196 | + | 17.8884i | −0.155662 | + | 1.08265i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −8.65446 | + | 0.826401i | −0.521884 | + | 0.0498338i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.75679 | + | 21.3644i | −0.586229 | + | 1.28366i | 0.351465 | + | 0.936201i | \(0.385683\pi\) |
−0.937694 | + | 0.347461i | \(0.887044\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 10.1699 | − | 4.07141i | 0.608855 | − | 0.243749i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.1180 | − | 11.5545i | 0.722901 | − | 0.689285i | −0.236405 | − | 0.971655i | \(-0.575969\pi\) |
0.959306 | + | 0.282370i | \(0.0911206\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.11485 | + | 2.44117i | 0.0662707 | + | 0.145113i | 0.939869 | − | 0.341535i | \(-0.110947\pi\) |
−0.873598 | + | 0.486648i | \(0.838220\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.98651 | − | 8.62895i | −0.176906 | − | 0.511135i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −7.10392 | − | 0.678342i | −0.419331 | − | 0.0400413i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.4111 | − | 9.76022i | 0.730066 | − | 0.574130i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.100494 | + | 2.10962i | 0.00589105 | + | 0.123668i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 12.7944 | + | 3.75678i | 0.747458 | + | 0.219474i | 0.633211 | − | 0.773979i | \(-0.281736\pi\) |
0.114247 | + | 0.993452i | \(0.463555\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.10100 | + | 28.5231i | 0.238769 | + | 1.66068i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.398039 | + | 0.689424i | 0.0230966 | + | 0.0400044i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −22.6497 | − | 21.5964i | −1.30987 | − | 1.24895i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 11.4312 | − | 16.0529i | 0.658886 | − | 0.925276i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.0833109 | − | 1.74891i | 0.00478609 | − | 0.100472i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −7.51307 | + | 13.0130i | −0.430197 | + | 0.745124i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.53177 | − | 6.31405i | 0.0874229 | − | 0.360362i | −0.911251 | − | 0.411852i | \(-0.864882\pi\) |
0.998673 | + | 0.0514903i | \(0.0163971\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −6.74350 | − | 1.29970i | −0.383625 | − | 0.0739376i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 15.9088 | − | 18.3597i | 0.902105 | − | 1.04108i | −0.0968461 | − | 0.995299i | \(-0.530875\pi\) |
0.998951 | − | 0.0457855i | \(-0.0145791\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −17.4194 | − | 11.1948i | −0.984604 | − | 0.632767i | −0.0539026 | − | 0.998546i | \(-0.517166\pi\) |
−0.930702 | + | 0.365780i | \(0.880802\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 14.7950 | + | 7.62736i | 0.833605 | + | 0.429753i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 31.2130 | − | 6.01582i | 1.75310 | − | 0.337882i | 0.791256 | − | 0.611485i | \(-0.209428\pi\) |
0.961843 | + | 0.273603i | \(0.0882156\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.48063 | + | 1.95079i | 0.138889 | + | 0.109223i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.71684 | + | 4.28946i | 0.207454 | + | 0.239415i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.593680 | − | 2.44718i | −0.0330332 | − | 0.136165i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 42.0514 | − | 21.6790i | 2.33259 | − | 1.20253i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 9.42574 | − | 2.76765i | 0.521245 | − | 0.153051i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 40.8365 | + | 16.3485i | 2.25139 | + | 0.901321i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.18267 | − | 14.9743i | 0.284865 | − | 0.823064i | −0.708254 | − | 0.705958i | \(-0.750517\pi\) |
0.993119 | − | 0.117107i | \(-0.0373620\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.974280 | − | 1.36819i | −0.0533902 | − | 0.0749761i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −31.3773 | − | 9.06439i | −1.71432 | − | 0.495241i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.4174 | + | 23.0550i | 0.894312 | + | 1.25589i | 0.966022 | + | 0.258460i | \(0.0832150\pi\) |
−0.0717099 | + | 0.997426i | \(0.522846\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.575342 | − | 1.66234i | 0.0312483 | − | 0.0902859i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.09602 | + | 3.24116i | 0.438424 | + | 0.175519i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.6209 | + | 3.99946i | −0.735460 | + | 0.215951i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −25.6203 | + | 13.2082i | −1.37935 | + | 0.711105i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3.03740 | − | 12.5203i | −0.163056 | − | 0.672127i | −0.993383 | − | 0.114850i | \(-0.963361\pi\) |
0.830327 | − | 0.557277i | \(-0.188154\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.42380 | + | 1.64315i | 0.0762140 | + | 0.0879557i | 0.792576 | − | 0.609773i | \(-0.208739\pi\) |
−0.716362 | + | 0.697729i | \(0.754194\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.40530 | − | 2.67796i | −0.181761 | − | 0.142939i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −1.87805 | + | 0.361965i | −0.0999587 | + | 0.0192655i | −0.238985 | − | 0.971023i | \(-0.576815\pi\) |
0.139027 | + | 0.990289i | \(0.455603\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 50.8896 | + | 26.2354i | 2.70094 | + | 1.39243i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.86171 | + | 2.48177i | 0.204383 | + | 0.131349i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −20.5008 | + | 23.6592i | −1.08199 | + | 1.24869i | −0.115141 | + | 0.993349i | \(0.536732\pi\) |
−0.966852 | + | 0.255338i | \(0.917813\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.5142 | − | 2.60466i | −0.711276 | − | 0.137087i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.44394 | − | 10.0741i | 0.128273 | − | 0.528751i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −27.7861 | + | 48.1270i | −1.45439 | + | 2.51908i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.508970 | − | 10.6846i | 0.0265680 | − | 0.557732i | −0.945867 | − | 0.324556i | \(-0.894785\pi\) |
0.972435 | − | 0.233176i | \(-0.0749118\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.992266 | − | 1.39344i | 0.0516553 | − | 0.0725398i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 34.5381 | + | 32.9320i | 1.79313 | + | 1.70974i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.19678 | + | 12.4652i | 0.372635 | + | 0.645423i | 0.989970 | − | 0.141277i | \(-0.0451210\pi\) |
−0.617335 | + | 0.786701i | \(0.711788\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −3.36214 | − | 23.3842i | −0.173620 | − | 1.20755i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −16.4778 | − | 4.83832i | −0.848650 | − | 0.249186i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.904935 | − | 18.9969i | −0.0464834 | − | 0.975807i | −0.894842 | − | 0.446384i | \(-0.852712\pi\) |
0.848358 | − | 0.529423i | \(-0.177591\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.99084 | − | 6.28407i | 0.409383 | − | 0.321943i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −17.0233 | − | 1.62552i | −0.869848 | − | 0.0830604i | −0.349420 | − | 0.936966i | \(-0.613621\pi\) |
−0.520428 | + | 0.853906i | \(0.674228\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.33399 | + | 12.5222i | 0.220880 | + | 0.638192i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.96243 | + | 4.29712i | 0.0997559 | + | 0.218435i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −22.3772 | + | 21.3366i | −1.13457 | + | 1.08181i | −0.138762 | + | 0.990326i | \(0.544312\pi\) |
−0.995807 | + | 0.0914835i | \(0.970839\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.37975 | + | 2.95441i | −0.373210 | + | 0.149411i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.90567 | + | 6.36254i | −0.146572 | + | 0.320948i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 15.4987 | − | 1.47994i | 0.779822 | − | 0.0744640i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.34044 | + | 16.2782i | −0.117464 | + | 0.816977i | 0.842869 | + | 0.538119i | \(0.180865\pi\) |
−0.960332 | + | 0.278858i | \(0.910044\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −8.03121 | + | 5.16135i | −0.402064 | + | 0.258391i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 14.1520 | 0.706718 | 0.353359 | − | 0.935488i | \(-0.385039\pi\) | ||||
0.353359 | + | 0.935488i | \(0.385039\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −47.4569 | −2.36399 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −3.35668 | + | 2.15721i | −0.166795 | + | 0.107192i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.190291 | − | 1.32351i | 0.00943239 | − | 0.0656037i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.04232 | − | 0.195018i | 0.100986 | − | 0.00964300i | −0.0444406 | − | 0.999012i | \(-0.514151\pi\) |
0.145427 | + | 0.989369i | \(0.453544\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −4.98080 | + | 10.9064i | −0.245685 | + | 0.537974i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 27.9697 | − | 11.1974i | 1.37630 | − | 0.550987i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −26.3355 | + | 25.1108i | −1.29276 | + | 1.23264i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 7.82928 | + | 17.1437i | 0.383401 | + | 0.839532i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −8.95004 | − | 25.8595i | −0.437238 | − | 1.26332i | −0.921495 | − | 0.388391i | \(-0.873031\pi\) |
0.484256 | − | 0.874926i | \(-0.339090\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.8404 | + | 1.41709i | 0.723278 | + | 0.0690647i | 0.450201 | − | 0.892927i | \(-0.351352\pi\) |
0.273077 | + | 0.961992i | \(0.411958\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −8.28838 | + | 6.51805i | −0.402995 | + | 0.316919i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.571793 | − | 12.0034i | −0.0277360 | − | 0.582251i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 15.0736 | + | 4.42602i | 0.729464 | + | 0.214190i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.490805 | − | 3.41362i | −0.0236963 | − | 0.164811i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −8.62573 | − | 14.9402i | −0.415487 | − | 0.719644i | 0.579993 | − | 0.814622i | \(-0.303055\pi\) |
−0.995479 | + | 0.0949775i | \(0.969722\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.06882 | − | 3.87961i | −0.195535 | − | 0.186442i | 0.585986 | − | 0.810321i | \(-0.300707\pi\) |
−0.781521 | + | 0.623879i | \(0.785556\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −9.17503 | + | 12.8845i | −0.439909 | + | 0.617766i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.786620 | − | 16.5132i | 0.0376291 | − | 0.789933i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.3430 | + | 17.9145i | −0.493643 | + | 0.855014i | −0.999973 | − | 0.00732524i | \(-0.997668\pi\) |
0.506330 | + | 0.862340i | \(0.331002\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.45258 | − | 10.1097i | 0.116790 | − | 0.481414i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 16.1897 | + | 3.12031i | 0.769195 | + | 0.148250i | 0.558728 | − | 0.829351i | \(-0.311289\pi\) |
0.210467 | + | 0.977601i | \(0.432502\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 21.2229 | − | 24.4925i | 1.00606 | − | 1.16106i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −13.8716 | − | 8.91476i | −0.656106 | − | 0.421654i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −25.7486 | − | 13.2743i | −1.21515 | − | 0.626455i | −0.273122 | − | 0.961980i | \(-0.588056\pi\) |
−0.942031 | + | 0.335525i | \(0.891086\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.33719 | − | 0.257722i | 0.0629658 | − | 0.0121357i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 13.8044 | + | 10.8559i | 0.648586 | + | 0.510054i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −47.2222 | − | 54.4973i | −2.21381 | − | 2.55487i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.764064 | − | 3.14952i | −0.0357414 | − | 0.147328i | 0.951145 | − | 0.308745i | \(-0.0999089\pi\) |
−0.986886 | + | 0.161417i | \(0.948394\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.978054 | + | 0.504222i | −0.0456516 | + | 0.0235351i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −32.5734 | + | 9.56442i | −1.51710 | + | 0.445459i | −0.931072 | − | 0.364835i | \(-0.881125\pi\) |
−0.586023 | + | 0.810294i | \(0.699307\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.9332 | − | 4.37701i | −0.508111 | − | 0.203417i | 0.103420 | − | 0.994638i | \(-0.467022\pi\) |
−0.611530 | + | 0.791221i | \(0.709446\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −14.2961 | + | 41.3058i | −0.662964 | + | 1.91551i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.31181 | + | 1.84219i | 0.0607035 | + | 0.0852462i | 0.843812 | − | 0.536639i | \(-0.180306\pi\) |
−0.783108 | + | 0.621885i | \(0.786367\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.47565 | + | 34.1148i | −0.0681392 | + | 1.57527i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −8.57112 | − | 12.0365i | −0.394936 | − | 0.554611i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −1.23000 | + | 3.55385i | −0.0565555 | + | 0.163406i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 23.2016 | + | 9.28854i | 1.06456 | + | 0.426187i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −10.9761 | + | 3.22289i | −0.502563 | + | 0.147566i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −19.4396 | + | 10.0218i | −0.888218 | + | 0.457908i | −0.841037 | − | 0.540978i | \(-0.818054\pi\) |
−0.0471815 | + | 0.998886i | \(0.515024\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.71548 | + | 7.07129i | 0.0782190 | + | 0.322423i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 19.7351 | + | 22.7756i | 0.897980 | + | 1.03632i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −6.62418 | − | 5.20931i | −0.300789 | − | 0.236543i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.42062 | − | 1.04474i | 0.245632 | − | 0.0473416i | −0.0649493 | − | 0.997889i | \(-0.520689\pi\) |
0.310581 | + | 0.950547i | \(0.399476\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −6.07870 | − | 3.13379i | −0.274888 | − | 0.141715i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −11.2543 | − | 7.23272i | −0.507901 | − | 0.326408i | 0.261469 | − | 0.965212i | \(-0.415793\pi\) |
−0.769370 | + | 0.638804i | \(0.779430\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.85657 | + | 3.29666i | −0.128653 | + | 0.148474i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −3.11902 | − | 0.601142i | −0.140190 | − | 0.0270193i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 14.1125 | − | 58.1726i | 0.633033 | − | 2.60940i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.6081 | + | 18.3738i | −0.474885 | + | 0.822526i | −0.999586 | − | 0.0287609i | \(-0.990844\pi\) |
0.524701 | + | 0.851287i | \(0.324177\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.407966 | − | 8.56427i | 0.0182266 | − | 0.382623i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.45754 | + | 2.04682i | −0.0649883 | + | 0.0912633i | −0.845791 | − | 0.533514i | \(-0.820871\pi\) |
0.780803 | + | 0.624778i | \(0.214810\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.05617 | + | 4.82105i | 0.224997 | + | 0.214534i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.88375 | + | 4.99480i | 0.128072 | + | 0.221827i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.58281 | + | 11.0087i | 0.0701569 | + | 0.487952i | 0.994361 | + | 0.106052i | \(0.0338210\pi\) |
−0.924204 | + | 0.381900i | \(0.875270\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 55.7479 | + | 16.3691i | 2.46614 | + | 0.724124i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.108889 | − | 2.28587i | −0.00480758 | − | 0.100923i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 21.5397 | − | 16.9390i | 0.949154 | − | 0.746423i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −8.35607 | − | 0.797908i | −0.367500 | − | 0.0350920i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.69441 | + | 4.89568i | 0.0743764 | + | 0.214897i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.53380 | − | 12.1173i | −0.242440 | − | 0.530870i | 0.748823 | − | 0.662770i | \(-0.230619\pi\) |
−0.991263 | + | 0.131901i | \(0.957892\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.9597 | + | 11.4036i | −0.522962 | + | 0.498643i | −0.904947 | − | 0.425525i | \(-0.860089\pi\) |
0.381984 | + | 0.924169i | \(0.375241\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −42.2948 | + | 16.9323i | −1.84590 | + | 0.738985i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −5.00748 | + | 10.9649i | −0.218129 | + | 0.477637i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −29.0546 | + | 2.77438i | −1.26324 | + | 0.120625i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.02780 | + | 7.14848i | −0.0446026 | + | 0.310218i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −6.23430 | + | 4.00654i | −0.270038 | + | 0.173543i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −22.6469 | −0.979109 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −13.6344 | −0.588369 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 6.96688 | − | 4.47734i | 0.300085 | − | 0.192853i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.24913 | − | 8.68787i | 0.0537042 | − | 0.373521i | −0.945191 | − | 0.326519i | \(-0.894124\pi\) |
0.998895 | − | 0.0470017i | \(-0.0149666\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −14.5821 | + | 1.39242i | −0.625776 | + | 0.0597544i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −16.2832 | + | 35.6551i | −0.697494 | + | 1.52730i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 34.8916 | − | 13.9685i | 1.49186 | − | 0.597249i | 0.524668 | − | 0.851307i | \(-0.324190\pi\) |
0.967189 | + | 0.254058i | \(0.0817653\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.72549 | + | 2.59875i | −0.116321 | + | 0.110912i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.76860 | − | 8.25207i | −0.160548 | − | 0.351550i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.32392 | − | 15.3825i | −0.226396 | − | 0.654128i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 6.67152 | + | 0.637053i | 0.283190 | + | 0.0270414i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 25.1241 | − | 19.7578i | 1.06454 | − | 0.837164i | 0.0773970 | − | 0.997000i | \(-0.475339\pi\) |
0.987144 | + | 0.159836i | \(0.0510967\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.973771 | − | 20.4420i | −0.0411861 | − | 0.864603i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.840502 | − | 0.246794i | −0.0354860 | − | 0.0104196i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.54760 | − | 17.7190i | −0.107369 | − | 0.746765i | −0.970381 | − | 0.241581i | \(-0.922334\pi\) |
0.863012 | − | 0.505184i | \(-0.168575\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.50946 | + | 6.07857i | 0.147644 | + | 0.255727i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 3.01919 | + | 2.87879i | 0.126794 | + | 0.120898i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −6.38681 | + | 8.96903i | −0.267749 | + | 0.376001i | −0.926459 | − | 0.376396i | \(-0.877163\pi\) |
0.658710 | + | 0.752397i | \(0.271103\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.553774 | + | 11.6251i | −0.0231747 | + | 0.486497i | 0.957209 | + | 0.289398i | \(0.0934551\pi\) |
−0.980384 | + | 0.197099i | \(0.936848\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.12521 | − | 5.41303i | 0.130558 | − | 0.226132i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 18.5996 | − | 76.6686i | 0.775657 | − | 3.19730i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −25.9820 | − | 5.00763i | −1.08165 | − | 0.208470i | −0.382864 | − | 0.923805i | \(-0.625062\pi\) |
−0.698782 | + | 0.715335i | \(0.746274\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 5.47059 | − | 6.31340i | 0.227350 | − | 0.262376i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 32.0050 | + | 20.5683i | 1.32779 | + | 0.853318i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.09440 | − | 4.17296i | −0.335236 | − | 0.172826i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 16.9733 | − | 3.27133i | 0.701759 | − | 0.135253i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 23.2001 | + | 18.2447i | 0.957569 | + | 0.753041i | 0.969043 | − | 0.246894i | \(-0.0794098\pi\) |
−0.0114736 | + | 0.999934i | \(0.503652\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −16.4168 | − | 18.9460i | −0.676441 | − | 0.780655i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.531005 | + | 2.18883i | 0.0218426 | + | 0.0900366i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 27.1678 | − | 14.0060i | 1.11565 | − | 0.575157i | 0.201075 | − | 0.979576i | \(-0.435556\pi\) |
0.914574 | + | 0.404419i | \(0.132526\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −17.5743 | + | 5.16027i | −0.720474 | + | 0.211550i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 19.0531 | + | 7.62770i | 0.779790 | + | 0.312181i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 10.6763 | − | 30.8471i | 0.436221 | − | 1.26038i | −0.486083 | − | 0.873912i | \(-0.661575\pi\) |
0.922304 | − | 0.386465i | \(-0.126304\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.1166 | + | 18.4196i | 0.535036 | + | 0.751353i | 0.990291 | − | 0.139008i | \(-0.0443913\pi\) |
−0.455255 | + | 0.890361i | \(0.650452\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.90524 | − | 4.39519i | −0.281203 | − | 0.178986i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 23.9925 | + | 33.6927i | 0.975434 | + | 1.36981i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.47303 | + | 18.7026i | −0.262732 | + | 0.759115i | 0.734060 | + | 0.679084i | \(0.237623\pi\) |
−0.996792 | + | 0.0800303i | \(0.974498\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 15.3527 | + | 6.14631i | 0.622124 | + | 0.249061i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 43.8291 | − | 12.8694i | 1.77314 | − | 0.520640i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.1284 | − | 7.28370i | 0.570641 | − | 0.294186i | −0.148655 | − | 0.988889i | \(-0.547495\pi\) |
0.719297 | + | 0.694703i | \(0.244464\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.60919 | + | 6.63319i | 0.0648890 | + | 0.267476i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 7.86306 | + | 9.07446i | 0.316555 | + | 0.365324i | 0.891621 | − | 0.452783i | \(-0.149569\pi\) |
−0.575066 | + | 0.818107i | \(0.695023\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 23.7793 | + | 18.7002i | 0.955770 | + | 0.751626i | 0.968686 | − | 0.248291i | \(-0.0798689\pi\) |
−0.0129158 | + | 0.999917i | \(0.504111\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −7.09349 | + | 1.36716i | −0.284652 | + | 0.0548622i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −30.1166 | − | 15.5262i | −1.20660 | − | 0.622043i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 33.3644 | + | 21.4420i | 1.33457 | + | 0.857679i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.19302 | − | 1.37682i | 0.0476446 | − | 0.0549848i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 1.81482 | + | 0.349779i | 0.0723618 | + | 0.0139466i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.82979 | + | 7.54250i | −0.0728428 | + | 0.300262i | −0.996566 | − | 0.0827976i | \(-0.973614\pi\) |
0.923724 | + | 0.383060i | \(0.125130\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 10.6648 | − | 18.4720i | 0.423888 | − | 0.734196i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.93004 | + | 40.5164i | −0.0765911 | + | 1.60785i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −26.1414 | + | 36.7105i | −1.03576 | + | 1.45452i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 10.3849 | + | 9.90202i | 0.410822 | + | 0.391718i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 20.3932 | + | 35.3221i | 0.805484 | + | 1.39514i | 0.915964 | + | 0.401261i | \(0.131428\pi\) |
−0.110480 | + | 0.993878i | \(0.535239\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.47067 | − | 24.1390i | −0.136870 | − | 0.951951i | −0.936302 | − | 0.351195i | \(-0.885776\pi\) |
0.799433 | − | 0.600756i | \(-0.205134\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −18.0857 | − | 5.31045i | −0.712125 | − | 0.209099i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.662080 | − | 13.8988i | −0.0260290 | − | 0.546417i | −0.973792 | − | 0.227441i | \(-0.926964\pi\) |
0.947763 | − | 0.318976i | \(-0.103339\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.51923 | + | 3.55396i | −0.177395 | + | 0.139505i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 45.4921 | + | 4.34397i | 1.78298 | + | 0.170254i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −6.71981 | − | 19.4156i | −0.262966 | − | 0.759792i | −0.996761 | − | 0.0804202i | \(-0.974374\pi\) |
0.733795 | − | 0.679371i | \(-0.237747\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.5939 | − | 25.3871i | −0.453011 | − | 0.991956i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −10.0799 | + | 9.61112i | −0.393253 | + | 0.374966i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −33.8939 | + | 13.5691i | −1.32032 | + | 0.528576i | −0.921473 | − | 0.388442i | \(-0.873013\pi\) |
−0.398845 | + | 0.917018i | \(0.630589\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.6171 | − | 36.3863i | 0.646329 | − | 1.41526i | −0.248401 | − | 0.968657i | \(-0.579905\pi\) |
0.894730 | − | 0.446607i | \(-0.147368\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 4.74541 | − | 0.453131i | 0.184296 | − | 0.0175982i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 5.42110 | − | 37.7046i | 0.210221 | − | 1.46212i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −24.0914 | + | 15.4826i | −0.932821 | + | 0.599488i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 17.4598 | 0.675034 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.99792 | −0.115734 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −33.2704 | + | 21.3816i | −1.28248 | + | 0.824199i | −0.991191 | − | 0.132437i | \(-0.957720\pi\) |
−0.291287 | + | 0.956636i | \(0.594083\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 1.55420 | − | 10.8097i | 0.0598210 | − | 0.416064i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 16.5338 | − | 1.57879i | 0.635445 | − | 0.0606776i | 0.227638 | − | 0.973746i | \(-0.426900\pi\) |
0.407807 | + | 0.913068i | \(0.366294\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.66008 | + | 8.01446i | −0.140461 | + | 0.307567i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.51345 | + | 1.00623i | −0.0963155 | + | 0.0385589i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.26401 | − | 2.15873i | 0.0866298 | − | 0.0826013i | −0.645527 | − | 0.763737i | \(-0.723362\pi\) |
0.732157 | + | 0.681136i | \(0.238514\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −19.8738 | − | 43.5176i | −0.759340 | − | 1.66272i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.52879 | + | 15.9744i | 0.210937 | + | 0.609461i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 49.3333 | + | 4.71076i | 1.87945 | + | 0.179466i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 39.0192 | − | 30.6850i | 1.48436 | − | 1.16731i | 0.538551 | − | 0.842593i | \(-0.318972\pi\) |
0.945810 | − | 0.324721i | \(-0.105270\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.158019 | + | 3.31722i | 0.00600264 | + | 0.126011i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −72.1546 | − | 21.1865i | −2.73698 | − | 0.803650i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.267885 | + | 1.86318i | 0.0101469 | + | 0.0705731i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −13.9947 | − | 24.2395i | −0.529327 | − | 0.916821i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −9.69625 | − | 9.24536i | −0.366222 | − | 0.349192i | 0.484515 | − | 0.874783i | \(-0.338996\pi\) |
−0.850738 | + | 0.525590i | \(0.823844\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.22960 | + | 3.13104i | −0.0840910 | + | 0.118089i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 2.00190 | − | 42.0251i | 0.0753959 | − | 1.58276i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 3.65209 | − | 6.32560i | 0.137351 | − | 0.237899i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.62762 | + | 14.9532i | −0.136238 | + | 0.561581i | 0.862243 | + | 0.506494i | \(0.169059\pi\) |
−0.998482 | + | 0.0550870i | \(0.982456\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.83144 | + | 0.738450i | 0.143690 | + | 0.0276940i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −51.8233 | + | 59.8072i | −1.94080 | + | 2.23980i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 11.5763 | + | 7.43961i | 0.432928 | + | 0.278226i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −5.98549 | − | 3.08574i | −0.223532 | − | 0.115239i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 14.5522 | − | 2.80471i | 0.542707 | − | 0.104598i | 0.0894720 | − | 0.995989i | \(-0.471482\pi\) |
0.453235 | + | 0.891391i | \(0.350270\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −22.5200 | − | 17.7099i | −0.838689 | − | 0.659553i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 17.6332 | + | 20.3498i | 0.655784 | + | 0.756815i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −10.2065 | − | 42.0719i | −0.379061 | − | 1.56251i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.01009 | − | 2.06735i | 0.148726 | − | 0.0766736i | −0.382257 | − | 0.924056i | \(-0.624853\pi\) |
0.530983 | + | 0.847382i | \(0.321823\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.82584 | − | 1.93198i | −0.178490 | − | 0.0714567i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.48676 | + | 21.6316i | −0.276530 | + | 0.798980i | 0.718143 | + | 0.695896i | \(0.244992\pi\) |
−0.994673 | + | 0.103084i | \(0.967129\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 24.0774 | + | 33.8119i | 0.888107 | + | 1.24717i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.56391 | − | 6.32572i | −0.0576075 | − | 0.233011i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.16284 | + | 7.25019i | 0.189918 | + | 0.266703i | 0.898546 | − | 0.438880i | \(-0.144625\pi\) |
−0.708628 | + | 0.705583i | \(0.750685\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.24253 | + | 9.36868i | −0.119117 | + | 0.344167i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 26.2717 | + | 10.5176i | 0.963816 | + | 0.385854i | 0.799575 | − | 0.600566i | \(-0.205058\pi\) |
0.164241 | + | 0.986420i | \(0.447482\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 63.1285 | − | 18.5362i | 2.31285 | − | 0.679114i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −8.10589 | + | 4.17887i | −0.296579 | + | 0.152897i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 5.58219 | + | 23.0101i | 0.203969 | + | 0.840771i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.52676 | + | 5.22416i | 0.165184 | + | 0.190632i | 0.832307 | − | 0.554315i | \(-0.187020\pi\) |
−0.667123 | + | 0.744948i | \(0.732474\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −6.58407 | − | 5.17777i | −0.239937 | − | 0.188688i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −68.8062 | + | 13.2613i | −2.50412 | + | 0.482629i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.13858 | + | 3.16466i | 0.223110 | + | 0.115021i | 0.566158 | − | 0.824296i | \(-0.308429\pi\) |
−0.343048 | + | 0.939318i | \(0.611459\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −4.83796 | − | 3.10917i | −0.175607 | − | 0.112856i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 31.5078 | − | 36.3619i | 1.14216 | − | 1.31812i | 0.201216 | − | 0.979547i | \(-0.435511\pi\) |
0.940941 | − | 0.338572i | \(-0.109944\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 40.2406 | + | 7.75575i | 1.45681 | + | 0.280777i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.03512 | − | 4.26684i | 0.0374250 | − | 0.154268i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 15.6434 | − | 27.0951i | 0.564849 | − | 0.978347i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.875196 | + | 18.3726i | −0.0315604 | + | 0.662534i | 0.926556 | + | 0.376156i | \(0.122754\pi\) |
−0.958117 | + | 0.286378i | \(0.907549\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.71551 | + | 9.43061i | −0.241853 | + | 0.339635i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 37.4587 | + | 35.7168i | 1.34729 | + | 1.28464i | 0.925902 | + | 0.377764i | \(0.123307\pi\) |
0.421393 | + | 0.906878i | \(0.361541\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −59.8165 | − | 103.605i | −2.14867 | − | 3.72161i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.997183 | − | 6.93556i | −0.0357737 | − | 0.248812i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.75615 | − | 1.10290i | −0.134578 | − | 0.0395156i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.543529 | + | 11.4101i | 0.0194490 | + | 0.408284i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −3.11606 | + | 2.45050i | −0.111359 | + | 0.0875737i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 58.6920 | + | 5.60441i | 2.09481 | + | 0.200030i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.8630 | − | 37.1653i | −0.458518 | − | 1.32480i | −0.903242 | − | 0.429132i | \(-0.858819\pi\) |
0.444724 | − | 0.895668i | \(-0.353302\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −9.32225 | − | 20.4129i | −0.331881 | − | 0.726718i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 5.31102 | − | 5.06405i | 0.188838 | − | 0.180057i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 15.1457 | − | 6.06341i | 0.537838 | − | 0.215318i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 18.9615 | − | 41.5199i | 0.672495 | − | 1.47256i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −2.00108 | + | 0.191080i | −0.0708819 | + | 0.00676840i | −0.130437 | − | 0.991457i | \(-0.541638\pi\) |
0.0595548 | + | 0.998225i | \(0.481032\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.65124 | − | 11.4846i | 0.0584165 | − | 0.406296i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.83282 | − | 4.39119i | 0.241426 | − | 0.155155i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −11.0874 | −0.391267 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −120.247 | −4.23815 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 18.7036 | − | 12.0201i | 0.658397 | − | 0.423126i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −5.64434 | + | 39.2573i | −0.198445 | + | 1.38021i | 0.610355 | + | 0.792128i | \(0.291027\pi\) |
−0.808800 | + | 0.588084i | \(0.799882\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 11.0279 | − | 1.05304i | 0.387242 | − | 0.0369771i | 0.100380 | − | 0.994949i | \(-0.467994\pi\) |
0.286861 | + | 0.957972i | \(0.407388\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 6.96903 | − | 15.2600i | 0.244415 | − | 0.535193i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 25.3333 | − | 10.1419i | 0.887388 | − | 0.355257i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.82409 | − | 7.46026i | 0.273730 | − | 0.261001i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −7.50752 | − | 16.4392i | −0.262334 | − | 0.574431i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −15.8032 | − | 45.6603i | −0.551535 | − | 1.59355i | −0.783874 | − | 0.620920i | \(-0.786759\pi\) |
0.232340 | − | 0.972635i | \(-0.425362\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 14.5200 | + | 1.38650i | 0.506137 | + | 0.0483302i | 0.345001 | − | 0.938602i | \(-0.387878\pi\) |
0.161135 | + | 0.986932i | \(0.448484\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 6.83381 | − | 5.37417i | 0.237923 | − | 0.187105i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 0.795543 | + | 16.7005i | 0.0276638 | + | 0.580734i | 0.969564 | + | 0.244840i | \(0.0787353\pi\) |
−0.941900 | + | 0.335894i | \(0.890962\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −12.0902 | − | 3.55001i | −0.419911 | − | 0.123297i | 0.0649495 | − | 0.997889i | \(-0.479311\pi\) |
−0.484860 | + | 0.874592i | \(0.661130\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.34253 | − | 23.2478i | −0.115951 | − | 0.806457i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 5.72357 | + | 9.91352i | 0.198310 | + | 0.343483i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 24.7596 | + | 23.6083i | 0.856843 | + | 0.816998i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −6.35428 | + | 8.92334i | −0.219636 | + | 0.308436i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.60684 | + | 33.7318i | −0.0554744 | + | 1.16455i | 0.783861 | + | 0.620936i | \(0.213247\pi\) |
−0.839335 | + | 0.543614i | \(0.817056\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.64260 | − | 11.5053i | 0.229055 | − | 0.396735i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −3.94749 | + | 16.2718i | −0.135959 | + | 0.560430i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −22.5970 | − | 4.35521i | −0.777359 | − | 0.149824i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 28.3193 | − | 32.6822i | 0.973062 | − | 1.12297i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −2.25767 | − | 1.45091i | −0.0774829 | − | 0.0497952i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 10.7849 | + | 5.55998i | 0.369700 | + | 0.190594i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 9.09741 | − | 1.75338i | 0.311490 | − | 0.0600347i | −0.0311108 | − | 0.999516i | \(-0.509904\pi\) |
0.342600 | + | 0.939481i | \(0.388692\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 7.17758 | + | 5.64451i | 0.245468 | + | 0.193038i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 8.33254 | + | 9.61627i | 0.284634 | + | 0.328485i | 0.880004 | − | 0.474966i | \(-0.157540\pi\) |
−0.595370 | + | 0.803452i | \(0.702994\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.97939 | − | 32.8915i | −0.272253 | − | 1.12224i | −0.929575 | − | 0.368633i | \(-0.879826\pi\) |
0.657322 | − | 0.753610i | \(-0.271689\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 6.34293 | − | 3.27001i | 0.216167 | − | 0.111442i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −0.621236 | + | 0.182411i | −0.0211471 | + | 0.00620936i | −0.292289 | − | 0.956330i | \(-0.594417\pi\) |
0.271142 | + | 0.962539i | \(0.412599\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −19.1904 | − | 7.68268i | −0.652493 | − | 0.261219i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −5.16413 | + | 14.9208i | −0.175383 | + | 0.506736i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.80181 | + | 2.53028i | 0.0611221 | + | 0.0858340i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 20.6950 | + | 28.7948i | 0.701223 | + | 0.975674i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −1.22509 | − | 1.72040i | −0.0414630 | − | 0.0582267i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 32.2340 | − | 93.1340i | 1.08971 | − | 3.14850i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.81456 | + | 2.72814i | 0.230111 | + | 0.0921227i | 0.483853 | − | 0.875149i | \(-0.339237\pi\) |
−0.253741 | + | 0.967272i | \(0.581661\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −12.7944 | + | 3.75678i | −0.431545 | + | 0.126713i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.6705 | − | 7.04763i | 0.460571 | − | 0.237441i | −0.212294 | − | 0.977206i | \(-0.568094\pi\) |
0.672865 | + | 0.739765i | \(0.265063\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 6.82429 | + | 28.1301i | 0.229656 | + | 0.946654i | 0.963580 | + | 0.267422i | \(0.0861718\pi\) |
−0.733924 | + | 0.679232i | \(0.762313\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −18.8707 | − | 21.7780i | −0.634332 | − | 0.732059i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 2.72534 | + | 2.14323i | 0.0915080 | + | 0.0719627i | 0.662865 | − | 0.748739i | \(-0.269340\pi\) |
−0.571357 | + | 0.820702i | \(0.693583\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 41.6420 | − | 8.02584i | 1.39663 | − | 0.269178i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.707582 | − | 0.364784i | −0.0237049 | − | 0.0122207i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 20.2996 | + | 13.0458i | 0.679301 | + | 0.436560i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 35.6261 | − | 41.1147i | 1.19085 | − | 1.37431i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 30.7300 | + | 5.92273i | 1.02605 | + | 0.197754i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −10.2381 | + | 42.2019i | −0.341459 | + | 1.40751i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.29389 | − | 10.9013i | 0.209680 | − | 0.363176i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.937702 | + | 19.6848i | −0.0312048 | + | 0.655069i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 33.9034 | − | 47.6107i | 1.12699 | − | 1.58263i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −34.6371 | − | 33.0264i | −1.15011 | − | 1.09662i | −0.994055 | − | 0.108875i | \(-0.965275\pi\) |
−0.156051 | − | 0.987749i | \(-0.549876\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0.875448 | + | 1.51632i | 0.0290368 | + | 0.0502932i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.47617 | + | 17.2222i | 0.0820392 | + | 0.570595i | 0.988834 | + | 0.149023i | \(0.0476127\pi\) |
−0.906795 | + | 0.421573i | \(0.861478\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −6.96589 | − | 2.04537i | −0.230537 | − | 0.0676919i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.714973 | − | 15.0091i | −0.0236363 | − | 0.496186i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −22.9365 | + | 18.0375i | −0.757431 | + | 0.595650i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −29.4514 | − | 2.81226i | −0.971511 | − | 0.0927680i | −0.402784 | − | 0.915295i | \(-0.631958\pi\) |
−0.568726 | + | 0.822527i | \(0.692564\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 2.12503 | + | 6.13986i | 0.0700220 | + | 0.202315i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −25.8232 | − | 56.5449i | −0.849981 | − | 1.86120i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.2754 | + | 12.6581i | −0.436493 | + | 0.416195i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 6.37567 | − | 2.55243i | 0.209404 | − | 0.0838329i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −14.6572 | + | 32.0948i | −0.480887 | + | 1.05300i | 0.501331 | + | 0.865255i | \(0.332844\pi\) |
−0.982219 | + | 0.187741i | \(0.939884\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −23.6989 | + | 2.26297i | −0.776700 | + | 0.0741658i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −3.45731 | + | 24.0461i | −0.113187 | + | 0.787235i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 2.94040 | − | 1.88968i | 0.0961614 | − | 0.0617992i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 41.8938 | 1.36861 | 0.684305 | − | 0.729196i | \(-0.260106\pi\) | ||||
0.684305 | + | 0.729196i | \(0.260106\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 20.7065 | 0.675731 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 18.5739 | − | 11.9367i | 0.605491 | − | 0.389125i | −0.201673 | − | 0.979453i | \(-0.564638\pi\) |
0.807164 | + | 0.590328i | \(0.201001\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.75868 | + | 12.2319i | −0.0572706 | + | 0.398326i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −16.5700 | + | 1.58224i | −0.539023 | + | 0.0514704i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −1.50268 | + | 3.29042i | −0.0488307 | + | 0.106924i | −0.932475 | − | 0.361235i | \(-0.882355\pi\) |
0.883644 | + | 0.468159i | \(0.155083\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 56.0143 | − | 22.4247i | 1.81830 | − | 0.727937i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −23.0057 | + | 21.9359i | −0.746010 | + | 0.711319i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.47331 | + | 14.1746i | 0.209691 | + | 0.459159i | 0.985029 | − | 0.172387i | \(-0.0551479\pi\) |
−0.775338 | + | 0.631546i | \(0.782421\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.15700 | + | 23.5681i | 0.263954 | + | 0.762646i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −3.14151 | − | 0.299978i | −0.101551 | − | 0.00969692i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −39.3169 | + | 30.9192i | −1.26961 | + | 0.998433i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 4.23493 | + | 88.9021i | 0.136611 | + | 2.86781i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −5.44587 | − | 1.59905i | −0.175491 | − | 0.0515287i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.74371 | + | 32.9932i | 0.152705 | + | 1.06209i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 29.2921 | + | 50.7354i | 0.941970 | + | 1.63154i | 0.761707 | + | 0.647922i | \(0.224362\pi\) |
0.180263 | + | 0.983618i | \(0.442305\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 1.82248 | + | 1.73773i | 0.0585466 | + | 0.0558240i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 18.1858 | − | 25.5384i | 0.583611 | − | 0.819567i | −0.412191 | − | 0.911097i | \(-0.635236\pi\) |
0.995802 | + | 0.0915304i | \(0.0291759\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.74104 | + | 78.5342i | −0.119932 | + | 2.51769i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −23.6553 | + | 40.9722i | −0.757576 | + | 1.31216i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 3.80703 | − | 15.6928i | 0.121798 | − | 0.502057i | −0.877932 | − | 0.478786i | \(-0.841077\pi\) |
0.999729 | − | 0.0232706i | \(-0.00740792\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.34905 | + | 1.22368i | 0.202916 | + | 0.0391089i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.43313 | + | 7.42423i | −0.205394 | + | 0.237038i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −21.8476 | − | 14.0406i | −0.696832 | − | 0.447826i | 0.143677 | − | 0.989625i | \(-0.454107\pi\) |
−0.840509 | + | 0.541798i | \(0.817744\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.98794 | − | 4.11807i | −0.254517 | − | 0.131213i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −43.1926 | + | 8.32468i | −1.37483 | + | 0.264978i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −26.8252 | − | 21.0956i | −0.852993 | − | 0.670801i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −31.7083 | − | 36.5934i | −1.00725 | − | 1.16243i | −0.986686 | − | 0.162638i | \(-0.948000\pi\) |
−0.0205629 | − | 0.999789i | \(-0.506546\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 3.73580 | + | 15.3992i | 0.118552 | + | 0.488678i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −72.7862 | + | 37.5239i | −2.30748 | + | 1.18959i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 44.8205 | − | 13.1605i | 1.41948 | − | 0.416797i | 0.520152 | − | 0.854074i | \(-0.325875\pi\) |
0.899327 | + | 0.437277i | \(0.144057\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.55931 | + | 0.624255i | 0.0493345 | + | 0.0197506i |
(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 | 804.2.y.b.361.6 | yes | 120 | |
67.49 | even | 33 | inner | 804.2.y.b.49.6 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.y.b.49.6 | ✓ | 120 | 67.49 | even | 33 | inner | |
804.2.y.b.361.6 | yes | 120 | 1.1 | even | 1 | trivial |