Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 109.2 | ||
Character | \(\chi\) | \(=\) | 729.109 |
Dual form | 729.2.g.b.622.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40463 | − | 1.48883i | −0.993226 | − | 1.05276i | −0.998607 | − | 0.0527730i | \(-0.983194\pi\) |
0.00538008 | − | 0.999986i | \(-0.498287\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.127314 | + | 2.18589i | −0.0636569 | + | 1.09295i | ||||
\(5\) | 0.0206552 | − | 0.00241424i | 0.00923728 | − | 0.00107968i | −0.111473 | − | 0.993767i | \(-0.535557\pi\) |
0.120710 | + | 0.992688i | \(0.461483\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.34442 | − | 0.675193i | −0.508143 | − | 0.255199i | 0.176207 | − | 0.984353i | \(-0.443617\pi\) |
−0.684349 | + | 0.729154i | \(0.739914\pi\) | |||||||
\(8\) | 0.297287 | − | 0.249453i | 0.105107 | − | 0.0881950i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0326074 | − | 0.0273608i | −0.0103114 | − | 0.00865225i | ||||
\(11\) | −2.38035 | − | 5.51826i | −0.717701 | − | 1.66382i | −0.747500 | − | 0.664262i | \(-0.768746\pi\) |
0.0297984 | − | 0.999556i | \(-0.490513\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.13772 | + | 0.506650i | 0.592898 | + | 0.140519i | 0.516101 | − | 0.856527i | \(-0.327383\pi\) |
0.0767963 | + | 0.997047i | \(0.475531\pi\) | |||||||
\(14\) | 0.883173 | + | 2.95000i | 0.236038 | + | 0.788422i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.56062 | + | 0.416176i | 0.890154 | + | 0.104044i | ||||
\(17\) | 0.699765 | − | 3.96856i | 0.169718 | − | 0.962518i | −0.774348 | − | 0.632760i | \(-0.781922\pi\) |
0.944066 | − | 0.329758i | \(-0.106967\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.689869 | + | 3.91244i | 0.158267 | + | 0.897576i | 0.955738 | + | 0.294219i | \(0.0950595\pi\) |
−0.797471 | + | 0.603357i | \(0.793829\pi\) | |||||||
\(20\) | 0.00264759 | + | 0.0454574i | 0.000592020 | + | 0.0101646i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.87221 | + | 11.2951i | −1.03876 | + | 2.40811i | ||||
\(23\) | −0.900106 | + | 0.452050i | −0.187685 | + | 0.0942590i | −0.540160 | − | 0.841562i | \(-0.681636\pi\) |
0.352475 | + | 0.935821i | \(0.385340\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.86480 | + | 1.15298i | −0.972961 | + | 0.230596i | ||||
\(26\) | −2.24841 | − | 3.89435i | −0.440949 | − | 0.763746i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.64706 | − | 2.85280i | 0.311266 | − | 0.539128i | ||||
\(29\) | −1.61295 | + | 5.38763i | −0.299517 | + | 1.00046i | 0.667258 | + | 0.744827i | \(0.267468\pi\) |
−0.966775 | + | 0.255630i | \(0.917717\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.49542 | − | 1.64126i | −0.448190 | − | 0.294779i | 0.305278 | − | 0.952263i | \(-0.401250\pi\) |
−0.753469 | + | 0.657484i | \(0.771621\pi\) | |||||||
\(32\) | −4.84524 | − | 6.50829i | −0.856525 | − | 1.15051i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.89141 | + | 4.53255i | −1.18187 | + | 0.777327i | ||||
\(35\) | −0.0293993 | − | 0.0107005i | −0.00496939 | − | 0.00180871i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.49019 | + | 2.36224i | −1.06698 | + | 0.388349i | −0.815047 | − | 0.579395i | \(-0.803289\pi\) |
−0.251934 | + | 0.967744i | \(0.581067\pi\) | |||||||
\(38\) | 4.85593 | − | 6.52265i | 0.787736 | − | 1.05811i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.00553827 | − | 0.00587022i | 0.000875677 | − | 0.000928164i | ||||
\(41\) | −3.38050 | + | 3.58312i | −0.527945 | + | 0.559589i | −0.935380 | − | 0.353645i | \(-0.884942\pi\) |
0.407435 | + | 0.913234i | \(0.366423\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.93296 | − | 5.28288i | 0.599771 | − | 0.805632i | −0.393758 | − | 0.919214i | \(-0.628825\pi\) |
0.993529 | + | 0.113582i | \(0.0362326\pi\) | |||||||
\(44\) | 12.3654 | − | 4.50063i | 1.86415 | − | 0.678496i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.93734 | + | 0.705135i | 0.285646 | + | 0.103967i | ||||
\(47\) | −11.2967 | + | 7.42995i | −1.64779 | + | 1.08377i | −0.732677 | + | 0.680577i | \(0.761729\pi\) |
−0.915115 | + | 0.403193i | \(0.867900\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.82853 | − | 3.79938i | −0.404076 | − | 0.542768i | ||||
\(50\) | 8.54986 | + | 5.62333i | 1.20913 | + | 0.795259i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.37964 | + | 4.60833i | −0.191322 | + | 0.639061i | ||||
\(53\) | −4.73855 | + | 8.20740i | −0.650890 | + | 1.12737i | 0.332018 | + | 0.943273i | \(0.392271\pi\) |
−0.982907 | + | 0.184101i | \(0.941063\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.0624889 | − | 0.108234i | −0.00842600 | − | 0.0145943i | ||||
\(56\) | −0.568107 | + | 0.134644i | −0.0759165 | + | 0.0179925i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 10.2868 | − | 5.16624i | 1.35073 | − | 0.678361i | ||||
\(59\) | 0.693406 | − | 1.60750i | 0.0902737 | − | 0.209278i | −0.867097 | − | 0.498139i | \(-0.834017\pi\) |
0.957371 | + | 0.288860i | \(0.0932764\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.517762 | + | 8.88963i | 0.0662926 | + | 1.13820i | 0.853356 | + | 0.521328i | \(0.174563\pi\) |
−0.787063 | + | 0.616872i | \(0.788400\pi\) | |||||||
\(62\) | 1.06160 | + | 6.02061i | 0.134823 | + | 0.764619i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.63891 | + | 9.29469i | −0.204863 | + | 1.16184i | ||||
\(65\) | 0.0453782 | + | 0.00530396i | 0.00562848 | + | 0.000657875i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.91000 | − | 13.0603i | −0.477683 | − | 1.59557i | −0.769201 | − | 0.639007i | \(-0.779345\pi\) |
0.291518 | − | 0.956565i | \(-0.405840\pi\) | |||||||
\(68\) | 8.58577 | + | 2.03487i | 1.04118 | + | 0.246764i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.0253641 | + | 0.0588007i | 0.00303159 | + | 0.00702803i | ||||
\(71\) | 3.48681 | + | 2.92578i | 0.413808 | + | 0.347226i | 0.825802 | − | 0.563960i | \(-0.190723\pi\) |
−0.411994 | + | 0.911187i | \(0.635167\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.30212 | + | 6.12720i | −0.854648 | + | 0.717135i | −0.960808 | − | 0.277214i | \(-0.910589\pi\) |
0.106160 | + | 0.994349i | \(0.466144\pi\) | |||||||
\(74\) | 12.6333 | + | 6.34468i | 1.46859 | + | 0.737554i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −8.64002 | + | 1.00987i | −0.991078 | + | 0.115840i | ||||
\(77\) | −0.525707 | + | 9.02605i | −0.0599099 | + | 1.02861i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.18549 | + | 2.31648i | 0.245886 | + | 0.260624i | 0.838549 | − | 0.544827i | \(-0.183405\pi\) |
−0.592662 | + | 0.805451i | \(0.701923\pi\) | |||||||
\(80\) | 0.0745499 | 0.00833493 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 10.0830 | 1.11348 | ||||||||
\(83\) | 1.15185 | + | 1.22089i | 0.126432 | + | 0.134010i | 0.787497 | − | 0.616319i | \(-0.211377\pi\) |
−0.661065 | + | 0.750329i | \(0.729895\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.00487269 | − | 0.0836608i | 0.000528517 | − | 0.00907429i | ||||
\(86\) | −13.3897 | + | 1.56503i | −1.44384 | + | 0.168761i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.08419 | − | 1.04672i | −0.222176 | − | 0.111581i | ||||
\(89\) | 7.75680 | − | 6.50872i | 0.822219 | − | 0.689923i | −0.131272 | − | 0.991346i | \(-0.541906\pi\) |
0.953491 | + | 0.301423i | \(0.0974616\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.53191 | − | 2.12452i | −0.265416 | − | 0.222711i | ||||
\(92\) | −0.873538 | − | 2.02509i | −0.0910726 | − | 0.211130i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 26.9296 | + | 6.38244i | 2.77758 | + | 0.658298i | ||||
\(95\) | 0.0236950 | + | 0.0791467i | 0.00243105 | + | 0.00812028i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.59501 | + | 0.770846i | 0.669621 | + | 0.0782675i | 0.444109 | − | 0.895973i | \(-0.353520\pi\) |
0.225512 | + | 0.974240i | \(0.427594\pi\) | |||||||
\(98\) | −1.68356 | + | 9.54793i | −0.170065 | + | 0.964486i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.90093 | − | 10.7807i | −0.190093 | − | 1.07807i | ||||
\(101\) | −0.162759 | − | 2.79446i | −0.0161951 | − | 0.278059i | −0.996677 | − | 0.0814513i | \(-0.974044\pi\) |
0.980482 | − | 0.196608i | \(-0.0629926\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.79204 | − | 4.15443i | 0.176575 | − | 0.409348i | −0.806827 | − | 0.590788i | \(-0.798817\pi\) |
0.983402 | + | 0.181441i | \(0.0580761\pi\) | |||||||
\(104\) | 0.761902 | − | 0.382642i | 0.0747106 | − | 0.0375211i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 18.8753 | − | 4.47353i | 1.83333 | − | 0.434508i | ||||
\(107\) | −2.05630 | − | 3.56161i | −0.198790 | − | 0.344314i | 0.749347 | − | 0.662178i | \(-0.230368\pi\) |
−0.948136 | + | 0.317864i | \(0.897034\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.81003 | − | 8.33121i | 0.460717 | − | 0.797985i | −0.538280 | − | 0.842766i | \(-0.680926\pi\) |
0.998997 | + | 0.0447810i | \(0.0142590\pi\) | |||||||
\(110\) | −0.0733674 | + | 0.245064i | −0.00699531 | + | 0.0233660i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.50596 | − | 2.96362i | −0.425773 | − | 0.280035i | ||||
\(113\) | 1.10519 | + | 1.48453i | 0.103968 | + | 0.139653i | 0.851062 | − | 0.525065i | \(-0.175959\pi\) |
−0.747094 | + | 0.664718i | \(0.768552\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.0175005 | + | 0.0115103i | −0.00163193 | + | 0.00107334i | ||||
\(116\) | −11.5714 | − | 4.21166i | −1.07438 | − | 0.391042i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.36726 | + | 1.22558i | −0.309982 | + | 0.112824i | ||||
\(119\) | −3.62032 | + | 4.86294i | −0.331874 | + | 0.445785i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −17.2365 | + | 18.2696i | −1.56695 | + | 1.66087i | ||||
\(122\) | 12.5078 | − | 13.2575i | 1.13241 | − | 1.20028i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.90533 | − | 5.24576i | 0.350709 | − | 0.471083i | ||||
\(125\) | −0.195408 | + | 0.0711227i | −0.0174778 | + | 0.00636141i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −17.8824 | − | 6.50866i | −1.58681 | − | 0.577550i | −0.610136 | − | 0.792296i | \(-0.708885\pi\) |
−0.976670 | + | 0.214746i | \(0.931108\pi\) | |||||||
\(128\) | 2.58223 | − | 1.69836i | 0.228239 | − | 0.150115i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.0558432 | − | 0.0750104i | −0.00489777 | − | 0.00657885i | ||||
\(131\) | −0.664609 | − | 0.437120i | −0.0580672 | − | 0.0381914i | 0.520143 | − | 0.854079i | \(-0.325878\pi\) |
−0.578211 | + | 0.815888i | \(0.696249\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.71418 | − | 5.72576i | 0.148638 | − | 0.496486i | ||||
\(134\) | −13.9524 | + | 24.1663i | −1.20531 | + | 2.08765i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.781940 | − | 1.35436i | −0.0670508 | − | 0.116135i | ||||
\(137\) | 4.11394 | − | 0.975023i | 0.351478 | − | 0.0833018i | −0.0510845 | − | 0.998694i | \(-0.516268\pi\) |
0.402562 | + | 0.915393i | \(0.368120\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.89213 | − | 2.45692i | 0.414945 | − | 0.208393i | −0.229064 | − | 0.973411i | \(-0.573566\pi\) |
0.644008 | + | 0.765018i | \(0.277270\pi\) | |||||||
\(140\) | 0.0271330 | − | 0.0629014i | 0.00229316 | − | 0.00531614i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.541716 | − | 9.30091i | −0.0454598 | − | 0.780515i | ||||
\(143\) | −2.29269 | − | 13.0025i | −0.191725 | − | 1.08733i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.0203087 | + | 0.115176i | −0.00168655 | + | 0.00956488i | ||||
\(146\) | 19.3791 | + | 2.26510i | 1.60383 | + | 0.187461i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.33731 | − | 14.4876i | −0.356525 | − | 1.19087i | ||||
\(149\) | −7.56671 | − | 1.79334i | −0.619889 | − | 0.146916i | −0.0913410 | − | 0.995820i | \(-0.529115\pi\) |
−0.528548 | + | 0.848903i | \(0.677263\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.24505 | − | 12.1594i | −0.426836 | − | 0.989516i | −0.986939 | − | 0.161094i | \(-0.948498\pi\) |
0.560103 | − | 0.828423i | \(-0.310761\pi\) | |||||||
\(152\) | 1.18106 | + | 0.991027i | 0.0957966 | + | 0.0803829i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 14.1766 | − | 11.8956i | 1.14239 | − | 0.958575i | ||||
\(155\) | −0.0555057 | − | 0.0278760i | −0.00445833 | − | 0.00223906i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.90749 | − | 0.807370i | 0.551278 | − | 0.0644352i | 0.164106 | − | 0.986443i | \(-0.447526\pi\) |
0.387172 | + | 0.922008i | \(0.373452\pi\) | |||||||
\(158\) | 0.379025 | − | 6.50761i | 0.0301536 | − | 0.517718i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.115792 | − | 0.122732i | −0.00915415 | − | 0.00970284i | ||||
\(161\) | 1.51534 | 0.119426 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.19903 | 0.407219 | 0.203610 | − | 0.979052i | \(-0.434733\pi\) | ||||
0.203610 | + | 0.979052i | \(0.434733\pi\) | |||||||
\(164\) | −7.40193 | − | 7.84559i | −0.577994 | − | 0.612638i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.199763 | − | 3.42981i | 0.0155046 | − | 0.266204i | ||||
\(167\) | 9.38508 | − | 1.09696i | 0.726239 | − | 0.0848852i | 0.255063 | − | 0.966924i | \(-0.417904\pi\) |
0.471176 | + | 0.882039i | \(0.343830\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.30406 | − | 3.66824i | −0.561851 | − | 0.282172i | ||||
\(170\) | −0.131401 | + | 0.110258i | −0.0100780 | + | 0.00845642i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 11.0471 | + | 9.26962i | 0.842333 | + | 0.706802i | ||||
\(173\) | −3.56610 | − | 8.26714i | −0.271125 | − | 0.628539i | 0.727198 | − | 0.686428i | \(-0.240822\pi\) |
−0.998323 | + | 0.0578889i | \(0.981563\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.31882 | + | 1.73459i | 0.553251 | + | 0.131123i | ||||
\(176\) | −6.17893 | − | 20.6390i | −0.465754 | − | 1.55573i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −20.5858 | − | 2.40614i | −1.54297 | − | 0.180348i | ||||
\(179\) | −1.67669 | + | 9.50897i | −0.125321 | + | 0.710733i | 0.855795 | + | 0.517315i | \(0.173069\pi\) |
−0.981116 | + | 0.193418i | \(0.938043\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.70395 | − | 9.66360i | −0.126654 | − | 0.718290i | −0.980312 | − | 0.197456i | \(-0.936732\pi\) |
0.853658 | − | 0.520834i | \(-0.174379\pi\) | |||||||
\(182\) | 0.393361 | + | 6.75375i | 0.0291579 | + | 0.500621i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.154824 | + | 0.358923i | −0.0114138 | + | 0.0264601i | ||||
\(185\) | −0.128353 | + | 0.0644613i | −0.00943671 | + | 0.00473929i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −23.5653 | + | 5.58507i | −1.72326 | + | 0.408421i | ||||
\(188\) | −14.8029 | − | 25.6393i | −1.07961 | − | 1.86994i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.0845529 | − | 0.146450i | 0.00613411 | − | 0.0106246i | ||||
\(191\) | −1.01268 | + | 3.38259i | −0.0732750 | + | 0.244755i | −0.986778 | − | 0.162076i | \(-0.948181\pi\) |
0.913503 | + | 0.406831i | \(0.133366\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −18.0456 | − | 11.8688i | −1.29895 | − | 0.854334i | −0.303806 | − | 0.952734i | \(-0.598257\pi\) |
−0.995147 | + | 0.0983996i | \(0.968628\pi\) | |||||||
\(194\) | −8.11592 | − | 10.9016i | −0.582689 | − | 0.782687i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8.66515 | − | 5.69916i | 0.618939 | − | 0.407083i | ||||
\(197\) | −15.5802 | − | 5.67071i | −1.11004 | − | 0.404022i | −0.279032 | − | 0.960282i | \(-0.590014\pi\) |
−0.831008 | + | 0.556260i | \(0.812236\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 19.4015 | − | 7.06158i | 1.37534 | − | 0.500582i | 0.454576 | − | 0.890708i | \(-0.349791\pi\) |
0.920761 | + | 0.390126i | \(0.127569\pi\) | |||||||
\(200\) | −1.15863 | + | 1.55631i | −0.0819273 | + | 0.110047i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.93185 | + | 4.16751i | −0.276644 | + | 0.293225i | ||||
\(203\) | 5.80616 | − | 6.15417i | 0.407513 | − | 0.431938i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.0611743 | + | 0.0821713i | −0.00427260 | + | 0.00573909i | ||||
\(206\) | −8.70238 | + | 3.16741i | −0.606324 | + | 0.220684i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.40076 | + | 2.69365i | 0.513150 | + | 0.186771i | ||||
\(209\) | 19.9478 | − | 13.1198i | 1.37981 | − | 0.907518i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.29830 | + | 1.74392i | 0.0893789 | + | 0.120057i | 0.844563 | − | 0.535456i | \(-0.179860\pi\) |
−0.755184 | + | 0.655512i | \(0.772453\pi\) | |||||||
\(212\) | −17.3372 | − | 11.4029i | −1.19073 | − | 0.783153i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.41427 | + | 8.06422i | −0.165036 | + | 0.551259i | ||||
\(215\) | 0.0684818 | − | 0.118614i | 0.00467042 | − | 0.00808941i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.24672 | + | 3.89143i | 0.152517 | + | 0.264168i | ||||
\(218\) | −19.1600 | + | 4.54101i | −1.29768 | + | 0.307556i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.244544 | − | 0.122814i | 0.0164871 | − | 0.00828015i | ||||
\(221\) | 3.50658 | − | 8.12916i | 0.235878 | − | 0.546826i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.31271 | − | 22.5383i | −0.0879053 | − | 1.50928i | −0.697513 | − | 0.716572i | \(-0.745710\pi\) |
0.609608 | − | 0.792703i | \(-0.291327\pi\) | |||||||
\(224\) | 2.11969 | + | 12.0213i | 0.141627 | + | 0.803209i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.657816 | − | 3.73066i | 0.0437573 | − | 0.248160i | ||||
\(227\) | −18.3292 | − | 2.14238i | −1.21655 | − | 0.142194i | −0.516500 | − | 0.856287i | \(-0.672765\pi\) |
−0.700051 | + | 0.714093i | \(0.746840\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.23973 | + | 10.8215i | 0.214087 | + | 0.715102i | 0.995808 | + | 0.0914724i | \(0.0291573\pi\) |
−0.781720 | + | 0.623629i | \(0.785657\pi\) | |||||||
\(230\) | 0.0417186 | + | 0.00988748i | 0.00275084 | + | 0.000651961i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.864452 | + | 2.00402i | 0.0567540 | + | 0.131571i | ||||
\(233\) | −12.6194 | − | 10.5889i | −0.826724 | − | 0.693703i | 0.127813 | − | 0.991798i | \(-0.459204\pi\) |
−0.954536 | + | 0.298095i | \(0.903649\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.215398 | + | 0.180740i | −0.0140510 | + | 0.0117902i | ||||
\(236\) | 3.42553 | + | 1.72037i | 0.222983 | + | 0.111986i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 12.3253 | − | 1.44062i | 0.798930 | − | 0.0933815i | ||||
\(239\) | −0.637064 | + | 10.9380i | −0.0412082 | + | 0.707518i | 0.912923 | + | 0.408131i | \(0.133819\pi\) |
−0.954132 | + | 0.299387i | \(0.903218\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.6890 | + | 14.5095i | 0.881785 | + | 0.934637i | 0.998284 | − | 0.0585536i | \(-0.0186489\pi\) |
−0.116500 | + | 0.993191i | \(0.537167\pi\) | |||||||
\(242\) | 51.4113 | 3.30484 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −19.4977 | −1.24821 | ||||||||
\(245\) | −0.0675965 | − | 0.0716481i | −0.00431858 | − | 0.00457743i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.507489 | + | 8.71324i | −0.0322907 | + | 0.554410i | ||||
\(248\) | −1.15127 | + | 0.134564i | −0.0731059 | + | 0.00854485i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.380366 | + | 0.191027i | 0.0240565 | + | 0.0120816i | ||||
\(251\) | 15.8375 | − | 13.2893i | 0.999656 | − | 0.838811i | 0.0127196 | − | 0.999919i | \(-0.495951\pi\) |
0.986937 | + | 0.161108i | \(0.0515067\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.63709 | + | 3.89098i | 0.291532 | + | 0.244624i | ||||
\(254\) | 15.4280 | + | 35.7661i | 0.968037 | + | 2.24416i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.2117 | + | 2.89422i | 0.763230 | + | 0.180889i | ||||
\(257\) | 3.38202 | + | 11.2967i | 0.210964 | + | 0.704670i | 0.996327 | + | 0.0856337i | \(0.0272915\pi\) |
−0.785362 | + | 0.619036i | \(0.787523\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.3205 | + | 1.20629i | 0.641285 | + | 0.0749554i | ||||
\(260\) | −0.0173712 | + | 0.0985168i | −0.00107731 | + | 0.00610975i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.282737 | + | 1.60348i | 0.0174676 | + | 0.0990634i | ||||
\(263\) | 0.113826 | + | 1.95432i | 0.00701881 | + | 0.120508i | 0.999998 | + | 0.00221532i | \(0.000705158\pi\) |
−0.992979 | + | 0.118293i | \(0.962258\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.0780609 | + | 0.180965i | −0.00479524 | + | 0.0111166i | ||||
\(266\) | −10.9324 | + | 5.49048i | −0.670311 | + | 0.336643i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 29.0463 | − | 6.88410i | 1.77428 | − | 0.420513i | ||||
\(269\) | 10.6534 | + | 18.4522i | 0.649547 | + | 1.12505i | 0.983231 | + | 0.182364i | \(0.0583749\pi\) |
−0.333684 | + | 0.942685i | \(0.608292\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.85691 | + | 11.8765i | −0.416528 | + | 0.721447i | −0.995587 | − | 0.0938378i | \(-0.970086\pi\) |
0.579060 | + | 0.815285i | \(0.303420\pi\) | |||||||
\(272\) | 4.14322 | − | 13.8393i | 0.251219 | − | 0.839131i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.23023 | − | 4.75539i | −0.436794 | − | 0.287284i | ||||
\(275\) | 17.9424 | + | 24.1008i | 1.08196 | + | 1.45333i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.00219 | + | 2.63228i | −0.240468 | + | 0.158158i | −0.664023 | − | 0.747712i | \(-0.731152\pi\) |
0.423555 | + | 0.905870i | \(0.360782\pi\) | |||||||
\(278\) | −10.5296 | − | 3.83245i | −0.631522 | − | 0.229855i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.0114093 | + | 0.00415264i | −0.000681835 | + | 0.000248168i | ||||
\(281\) | 8.31713 | − | 11.1718i | 0.496158 | − | 0.666456i | −0.481551 | − | 0.876418i | \(-0.659927\pi\) |
0.977710 | + | 0.209962i | \(0.0673339\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.05833 | + | 2.18170i | −0.122355 | + | 0.129689i | −0.785655 | − | 0.618665i | \(-0.787674\pi\) |
0.663300 | + | 0.748354i | \(0.269155\pi\) | |||||||
\(284\) | −6.83937 | + | 7.24931i | −0.405842 | + | 0.430167i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −16.1381 | + | 21.6772i | −0.954265 | + | 1.28180i | ||||
\(287\) | 6.96410 | − | 2.53472i | 0.411078 | − | 0.149620i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.714943 | + | 0.260218i | 0.0420555 | + | 0.0153069i | ||||
\(290\) | 0.200004 | − | 0.131545i | 0.0117446 | − | 0.00772457i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −12.4638 | − | 16.7417i | −0.729386 | − | 0.979736i | ||||
\(293\) | −20.1656 | − | 13.2631i | −1.17809 | − | 0.774840i | −0.199344 | − | 0.979930i | \(-0.563881\pi\) |
−0.978743 | + | 0.205090i | \(0.934251\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.0104415 | − | 0.0348772i | 0.000607930 | − | 0.00203063i | ||||
\(296\) | −1.34018 | + | 2.32126i | −0.0778964 | + | 0.134920i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.95849 | + | 13.7845i | 0.461023 | + | 0.798515i | ||||
\(299\) | −2.15321 | + | 0.510320i | −0.124523 | + | 0.0295126i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.85451 | + | 4.44690i | −0.510365 | + | 0.256315i | ||||
\(302\) | −10.7358 | + | 24.8884i | −0.617777 | + | 1.43217i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.828093 | + | 14.2178i | 0.0474944 | + | 0.815447i | ||||
\(305\) | 0.0321562 | + | 0.182367i | 0.00184126 | + | 0.0104423i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.34825 | − | 18.9889i | 0.191095 | − | 1.08375i | −0.726776 | − | 0.686874i | \(-0.758982\pi\) |
0.917871 | − | 0.396879i | \(-0.129907\pi\) | |||||||
\(308\) | −19.6631 | − | 2.29828i | −1.12041 | − | 0.130957i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.0364627 | + | 0.121794i | 0.00207094 | + | 0.00691743i | ||||
\(311\) | 11.1317 | + | 2.63826i | 0.631221 | + | 0.149602i | 0.533758 | − | 0.845637i | \(-0.320779\pi\) |
0.0974626 | + | 0.995239i | \(0.468927\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.23047 | + | 5.17081i | 0.126074 | + | 0.292272i | 0.969549 | − | 0.244896i | \(-0.0787537\pi\) |
−0.843476 | + | 0.537167i | \(0.819494\pi\) | |||||||
\(314\) | −10.9045 | − | 9.14999i | −0.615378 | − | 0.516364i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.34182 | + | 4.48232i | −0.300501 | + | 0.252150i | ||||
\(317\) | −5.41268 | − | 2.71835i | −0.304006 | − | 0.152678i | 0.290256 | − | 0.956949i | \(-0.406260\pi\) |
−0.594262 | + | 0.804271i | \(0.702556\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 33.5697 | − | 3.92373i | 1.87954 | − | 0.219687i | ||||
\(320\) | −0.0114122 | + | 0.195940i | −0.000637963 | + | 0.0109534i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.12850 | − | 2.25608i | −0.118617 | − | 0.125726i | ||||
\(323\) | 16.0095 | 0.890794 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −10.9838 | −0.609269 | ||||||||
\(326\) | −7.30274 | − | 7.74045i | −0.404461 | − | 0.428704i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.111157 | + | 1.90849i | −0.00613761 | + | 0.105379i | ||||
\(329\) | 20.2041 | − | 2.36152i | 1.11389 | − | 0.130195i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.12957 | + | 4.58504i | 0.501807 | + | 0.252017i | 0.681650 | − | 0.731679i | \(-0.261263\pi\) |
−0.179843 | + | 0.983695i | \(0.557559\pi\) | |||||||
\(332\) | −2.81538 | + | 2.36238i | −0.154514 | + | 0.129653i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −14.8158 | − | 12.4319i | −0.810684 | − | 0.680244i | ||||
\(335\) | −0.112293 | − | 0.260324i | −0.00613520 | − | 0.0142230i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.86331 | − | 2.10064i | −0.482815 | − | 0.114429i | −0.0180019 | − | 0.999838i | \(-0.505731\pi\) |
−0.464814 | + | 0.885409i | \(0.653879\pi\) | |||||||
\(338\) | 4.79817 | + | 16.0270i | 0.260986 | + | 0.871754i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.182253 | + | 0.0213024i | 0.00988408 | + | 0.00115528i | ||||
\(341\) | −3.11696 | + | 17.6771i | −0.168793 | + | 0.957271i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.06613 | + | 17.3889i | 0.165555 | + | 0.938911i | ||||
\(344\) | −0.148615 | − | 2.55162i | −0.00801278 | − | 0.137574i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.29927 | + | 16.9216i | −0.392411 | + | 0.909711i | ||||
\(347\) | −2.57936 | + | 1.29540i | −0.138467 | + | 0.0695408i | −0.516684 | − | 0.856176i | \(-0.672834\pi\) |
0.378217 | + | 0.925717i | \(0.376537\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −26.6592 | + | 6.31836i | −1.42704 | + | 0.338214i | −0.870319 | − | 0.492488i | \(-0.836088\pi\) |
−0.556718 | + | 0.830702i | \(0.687939\pi\) | |||||||
\(350\) | −7.69776 | − | 13.3329i | −0.411463 | − | 0.712674i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −24.3811 | + | 42.2293i | −1.29952 | + | 2.25083i | ||||
\(353\) | 0.796715 | − | 2.66121i | 0.0424049 | − | 0.141642i | −0.934166 | − | 0.356839i | \(-0.883854\pi\) |
0.976571 | + | 0.215197i | \(0.0690395\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.0790843 | + | 0.0520146i | 0.00419736 | + | 0.00276065i | ||||
\(356\) | 13.2398 | + | 17.7842i | 0.701710 | + | 0.942560i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 16.5123 | − | 10.8603i | 0.872703 | − | 0.573986i | ||||
\(359\) | 17.4937 | + | 6.36718i | 0.923281 | + | 0.336047i | 0.759543 | − | 0.650457i | \(-0.225423\pi\) |
0.163738 | + | 0.986504i | \(0.447645\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.02287 | − | 1.10024i | 0.159099 | − | 0.0579071i | ||||
\(362\) | −11.9940 | + | 16.1107i | −0.630390 | + | 0.846761i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.96633 | − | 5.26401i | 0.260307 | − | 0.275909i | ||||
\(365\) | −0.136034 | + | 0.144188i | −0.00712035 | + | 0.00754713i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.47011 | + | 3.31794i | −0.128939 | + | 0.173195i | −0.861904 | − | 0.507071i | \(-0.830728\pi\) |
0.732965 | + | 0.680266i | \(0.238136\pi\) | |||||||
\(368\) | −3.39306 | + | 1.23497i | −0.176876 | + | 0.0643775i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.276261 | + | 0.100551i | 0.0143621 | + | 0.00522738i | ||||
\(371\) | 11.9122 | − | 7.83476i | 0.618449 | − | 0.406760i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.32880 | − | 3.12813i | −0.120581 | − | 0.161968i | 0.737734 | − | 0.675091i | \(-0.235896\pi\) |
−0.858315 | + | 0.513123i | \(0.828488\pi\) | |||||||
\(374\) | 41.4158 | + | 27.2396i | 2.14156 | + | 1.40852i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.50493 | + | 5.02682i | −0.0776109 | + | 0.259238i | ||||
\(377\) | −6.17768 | + | 10.7001i | −0.318167 | + | 0.551081i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.6974 | − | 27.1887i | −0.806321 | − | 1.39659i | −0.915395 | − | 0.402556i | \(-0.868122\pi\) |
0.109074 | − | 0.994034i | \(-0.465211\pi\) | |||||||
\(380\) | −0.176023 | + | 0.0417182i | −0.00902979 | + | 0.00214010i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 6.45853 | − | 3.24359i | 0.330447 | − | 0.165957i | ||||
\(383\) | 8.98318 | − | 20.8253i | 0.459019 | − | 1.06413i | −0.518842 | − | 0.854870i | \(-0.673637\pi\) |
0.977861 | − | 0.209255i | \(-0.0671039\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.0109325 | + | 0.187704i | 0.000557172 | + | 0.00956627i | ||||
\(386\) | 7.67694 | + | 43.5381i | 0.390746 | + | 2.21603i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.52462 | + | 14.3178i | −0.128168 | + | 0.726879i | ||||
\(389\) | 15.8771 | + | 1.85576i | 0.804999 | + | 0.0940909i | 0.508633 | − | 0.860983i | \(-0.330151\pi\) |
0.296366 | + | 0.955074i | \(0.404225\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.16413 | + | 3.88846i | 0.0588725 | + | 0.196648i | ||||
\(392\) | −1.78865 | − | 0.423918i | −0.0903406 | − | 0.0214111i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 13.4417 | + | 31.1614i | 0.677184 | + | 1.56989i | ||||
\(395\) | 0.0507341 | + | 0.0425710i | 0.00255271 | + | 0.00214198i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −19.5239 | + | 16.3825i | −0.979876 | + | 0.822214i | −0.984071 | − | 0.177778i | \(-0.943109\pi\) |
0.00419466 | + | 0.999991i | \(0.498665\pi\) | |||||||
\(398\) | −37.7655 | − | 18.9665i | −1.89301 | − | 0.950707i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.8015 | + | 2.08070i | −0.890077 | + | 0.104035i | ||||
\(401\) | 0.571828 | − | 9.81791i | 0.0285557 | − | 0.490283i | −0.953464 | − | 0.301506i | \(-0.902511\pi\) |
0.982020 | − | 0.188777i | \(-0.0604523\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.50297 | − | 4.77287i | −0.224309 | − | 0.237753i | ||||
\(404\) | 6.12911 | 0.304935 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −17.3180 | −0.859479 | ||||||||
\(407\) | 28.4843 | + | 30.1916i | 1.41192 | + | 1.49654i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.42157 | + | 24.4075i | −0.0702923 | + | 1.20687i | 0.760143 | + | 0.649756i | \(0.225129\pi\) |
−0.830435 | + | 0.557115i | \(0.811908\pi\) | |||||||
\(410\) | 0.208266 | − | 0.0243428i | 0.0102855 | − | 0.00120221i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 8.85298 | + | 4.44613i | 0.436155 | + | 0.219045i | ||||
\(413\) | −2.01760 | + | 1.69296i | −0.0992795 | + | 0.0833054i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.0267392 | + | 0.0224368i | 0.00131257 | + | 0.00110138i | ||||
\(416\) | −7.06036 | − | 16.3678i | −0.346163 | − | 0.802495i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −47.5525 | − | 11.2701i | −2.32587 | − | 0.551240i | ||||
\(419\) | −1.24944 | − | 4.17342i | −0.0610392 | − | 0.203885i | 0.922030 | − | 0.387117i | \(-0.126529\pi\) |
−0.983070 | + | 0.183232i | \(0.941344\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.25840 | − | 0.147086i | −0.0613308 | − | 0.00716854i | 0.0853722 | − | 0.996349i | \(-0.472792\pi\) |
−0.146703 | + | 0.989181i | \(0.546866\pi\) | |||||||
\(422\) | 0.772757 | − | 4.38252i | 0.0376172 | − | 0.213338i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.638656 | + | 3.62200i | 0.0310159 | + | 0.175900i | ||||
\(425\) | 1.17145 | + | 20.1131i | 0.0568239 | + | 0.975629i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.30612 | − | 12.3010i | 0.256781 | − | 0.595286i | ||||
\(428\) | 8.04709 | − | 4.04140i | 0.388971 | − | 0.195349i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.272787 | + | 0.0646518i | −0.0131550 | + | 0.00311779i | ||||
\(431\) | −17.8588 | − | 30.9323i | −0.860227 | − | 1.48996i | −0.871709 | − | 0.490023i | \(-0.836988\pi\) |
0.0114820 | − | 0.999934i | \(-0.496345\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 16.1789 | − | 28.0227i | 0.777509 | − | 1.34668i | −0.155865 | − | 0.987778i | \(-0.549816\pi\) |
0.933374 | − | 0.358906i | \(-0.116850\pi\) | |||||||
\(434\) | 2.63784 | − | 8.81101i | 0.126621 | − | 0.422942i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 17.5988 | + | 11.5749i | 0.842828 | + | 0.554337i | ||||
\(437\) | −2.38958 | − | 3.20976i | −0.114309 | − | 0.153544i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.42177 | + | 4.88138i | −0.354222 | + | 0.232975i | −0.714131 | − | 0.700012i | \(-0.753178\pi\) |
0.359909 | + | 0.932987i | \(0.382808\pi\) | |||||||
\(440\) | −0.0455764 | − | 0.0165885i | −0.00217277 | − | 0.000790824i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −17.0284 | + | 6.19781i | −0.809956 | + | 0.294800i | ||||
\(443\) | −8.03162 | + | 10.7883i | −0.381594 | + | 0.512570i | −0.950876 | − | 0.309573i | \(-0.899814\pi\) |
0.569282 | + | 0.822142i | \(0.307221\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.144504 | − | 0.153166i | 0.00685016 | − | 0.00726075i | ||||
\(446\) | −31.7117 | + | 33.6124i | −1.50159 | + | 1.59159i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 8.47908 | − | 11.3894i | 0.400599 | − | 0.538098i | ||||
\(449\) | 16.7390 | − | 6.09251i | 0.789964 | − | 0.287524i | 0.0846431 | − | 0.996411i | \(-0.473025\pi\) |
0.705321 | + | 0.708888i | \(0.250803\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 27.8193 | + | 10.1254i | 1.30996 | + | 0.476787i | ||||
\(452\) | −3.38573 | + | 2.22683i | −0.159251 | + | 0.104741i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 22.5562 | + | 30.2982i | 1.05861 | + | 1.42197i | ||||
\(455\) | −0.0574262 | − | 0.0377698i | −0.00269218 | − | 0.00177068i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.357881 | + | 1.19541i | −0.0167410 | + | 0.0559188i | −0.965952 | − | 0.258722i | \(-0.916699\pi\) |
0.949211 | + | 0.314640i | \(0.101884\pi\) | |||||||
\(458\) | 11.5606 | − | 20.0236i | 0.540192 | − | 0.935640i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.0229321 | − | 0.0397196i | −0.00106922 | − | 0.00185194i | ||||
\(461\) | 18.3577 | − | 4.35086i | 0.855004 | − | 0.202640i | 0.220335 | − | 0.975424i | \(-0.429285\pi\) |
0.634668 | + | 0.772785i | \(0.281137\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.6291 | + | 5.33813i | −0.493976 | + | 0.248084i | −0.678305 | − | 0.734781i | \(-0.737285\pi\) |
0.184329 | + | 0.982865i | \(0.440989\pi\) | |||||||
\(464\) | −7.98529 | + | 18.5120i | −0.370708 | + | 0.859398i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.96057 | + | 33.6616i | 0.0908215 | + | 1.55934i | ||||
\(467\) | −1.20388 | − | 6.82753i | −0.0557088 | − | 0.315940i | 0.944201 | − | 0.329370i | \(-0.106836\pi\) |
−0.999910 | + | 0.0134295i | \(0.995725\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.56155 | + | 20.1986i | −0.164457 | + | 0.932683i | ||||
\(470\) | 0.571645 | + | 0.0668157i | 0.0263680 | + | 0.00308198i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.194854 | − | 0.650859i | −0.00896890 | − | 0.0299582i | ||||
\(473\) | −38.5141 | − | 9.12801i | −1.77088 | − | 0.419706i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.86704 | − | 18.2379i | −0.360965 | − | 0.836810i | ||||
\(476\) | −10.1689 | − | 8.53276i | −0.466093 | − | 0.391098i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 17.1796 | − | 14.4154i | 0.785775 | − | 0.659343i | ||||
\(479\) | −32.5667 | − | 16.3556i | −1.48801 | − | 0.747307i | −0.495402 | − | 0.868664i | \(-0.664979\pi\) |
−0.992609 | + | 0.121357i | \(0.961276\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.0711 | + | 1.76155i | −0.687181 | + | 0.0803200i | ||||
\(482\) | 2.37406 | − | 40.7610i | 0.108135 | − | 1.85661i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −37.7410 | − | 40.0031i | −1.71550 | − | 1.81832i | ||||
\(485\) | 0.138082 | 0.00626998 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 35.1072 | 1.59086 | 0.795429 | − | 0.606046i | \(-0.207245\pi\) | ||||
0.795429 | + | 0.606046i | \(0.207245\pi\) | |||||||
\(488\) | 2.37147 | + | 2.51361i | 0.107351 | + | 0.113786i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.0117232 | + | 0.201279i | −0.000529598 | + | 0.00909285i | ||||
\(491\) | −24.8882 | + | 2.90901i | −1.12319 | + | 0.131282i | −0.657348 | − | 0.753588i | \(-0.728322\pi\) |
−0.465839 | + | 0.884869i | \(0.654248\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 20.2525 | + | 10.1712i | 0.912125 | + | 0.458086i | ||||
\(494\) | 13.6853 | − | 11.4834i | 0.615732 | − | 0.516661i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.20217 | − | 6.88244i | −0.368288 | − | 0.309031i | ||||
\(497\) | −2.71227 | − | 6.28775i | −0.121662 | − | 0.282044i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.6324 | − | 4.88996i | −0.923632 | − | 0.218905i | −0.258829 | − | 0.965923i | \(-0.583336\pi\) |
−0.664803 | + | 0.747019i | \(0.731485\pi\) | |||||||
\(500\) | −0.130589 | − | 0.436196i | −0.00584010 | − | 0.0195073i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −42.0313 | − | 4.91276i | −1.87595 | − | 0.219267i | ||||
\(503\) | 4.86905 | − | 27.6138i | 0.217100 | − | 1.23124i | −0.660124 | − | 0.751156i | \(-0.729496\pi\) |
0.877225 | − | 0.480080i | \(-0.159392\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.0101083 | − | 0.0573271i | −0.000449814 | − | 0.00255102i | ||||
\(506\) | −0.720426 | − | 12.3692i | −0.0320268 | − | 0.549880i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 16.5039 | − | 38.2604i | 0.732243 | − | 1.69753i | ||||
\(509\) | 19.4334 | − | 9.75981i | 0.861369 | − | 0.432596i | 0.0374468 | − | 0.999299i | \(-0.488078\pi\) |
0.823922 | + | 0.566703i | \(0.191781\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 13.9542 | − | 3.30719i | 0.617295 | − | 0.146302i | ||||
\(512\) | −15.9347 | − | 27.5996i | −0.704219 | − | 1.21974i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 12.0683 | − | 20.9030i | 0.532312 | − | 0.921992i | ||||
\(515\) | 0.0269852 | − | 0.0901368i | 0.00118911 | − | 0.00397190i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 67.8904 | + | 44.6522i | 2.98582 | + | 1.96380i | ||||
\(518\) | −12.7006 | − | 17.0598i | −0.558031 | − | 0.749566i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.0148134 | − | 0.00974295i | 0.000649612 | − | 0.000427257i | ||||
\(521\) | 1.12952 | + | 0.411112i | 0.0494852 | + | 0.0180112i | 0.366644 | − | 0.930361i | \(-0.380507\pi\) |
−0.317159 | + | 0.948372i | \(0.602729\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.8149 | + | 4.30029i | −0.516631 | + | 0.188038i | −0.587159 | − | 0.809471i | \(-0.699754\pi\) |
0.0705281 | + | 0.997510i | \(0.477532\pi\) | |||||||
\(524\) | 1.04011 | − | 1.39711i | 0.0454375 | − | 0.0610332i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.74975 | − | 2.91457i | 0.119895 | − | 0.127081i | ||||
\(527\) | −8.25966 | + | 8.75473i | −0.359796 | + | 0.381362i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.1288 | + | 17.6350i | −0.570818 | + | 0.766741i | ||||
\(530\) | 0.379073 | − | 0.137971i | 0.0164659 | − | 0.00599309i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 12.2977 | + | 4.47598i | 0.533171 | + | 0.194058i | ||||
\(533\) | −9.04195 | + | 5.94699i | −0.391650 | + | 0.257593i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.0510718 | − | 0.0686013i | −0.00220802 | − | 0.00296589i | ||||
\(536\) | −4.42033 | − | 2.90730i | −0.190929 | − | 0.125576i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 12.5080 | − | 41.7796i | 0.539257 | − | 1.80124i | ||||
\(539\) | −14.2331 | + | 24.6524i | −0.613062 | + | 1.06185i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 18.1901 | + | 31.5062i | 0.782053 | + | 1.35456i | 0.930744 | + | 0.365672i | \(0.119161\pi\) |
−0.148691 | + | 0.988884i | \(0.547506\pi\) | |||||||
\(542\) | 27.3135 | − | 6.47342i | 1.17322 | − | 0.278057i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −29.2191 | + | 14.6744i | −1.25276 | + | 0.629159i | ||||
\(545\) | 0.0792384 | − | 0.183695i | 0.00339420 | − | 0.00786864i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.668405 | − | 11.4761i | −0.0285789 | − | 0.490681i | −0.981981 | − | 0.188979i | \(-0.939482\pi\) |
0.953402 | − | 0.301702i | \(-0.0975548\pi\) | |||||||
\(548\) | 1.60753 | + | 9.11678i | 0.0686705 | + | 0.389450i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 10.6794 | − | 60.5658i | 0.455370 | − | 2.58253i | ||||
\(551\) | −22.1915 | − | 2.59381i | −0.945390 | − | 0.110500i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.37414 | − | 4.58994i | −0.0584343 | − | 0.195184i | ||||
\(554\) | 9.54061 | + | 2.26117i | 0.405342 | + | 0.0960677i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.74773 | + | 11.0065i | 0.201348 | + | 0.466778i | ||||
\(557\) | 24.9391 | + | 20.9264i | 1.05670 | + | 0.886679i | 0.993782 | − | 0.111340i | \(-0.0355142\pi\) |
0.0629202 | + | 0.998019i | \(0.479959\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 11.0841 | − | 9.30071i | 0.468810 | − | 0.393378i | ||||
\(560\) | −0.100226 | − | 0.0503356i | −0.00423534 | − | 0.00212707i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −28.3154 | + | 3.30960i | −1.19442 | + | 0.139607i | ||||
\(563\) | −0.469030 | + | 8.05293i | −0.0197672 | + | 0.339390i | 0.973896 | + | 0.226994i | \(0.0728897\pi\) |
−0.993663 | + | 0.112397i | \(0.964147\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.0264120 | + | 0.0279950i | 0.00111116 | + | 0.00117776i | ||||
\(566\) | 6.13938 | 0.258057 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.76643 | 0.0741177 | ||||||||
\(569\) | 7.17849 | + | 7.60875i | 0.300938 | + | 0.318975i | 0.860142 | − | 0.510054i | \(-0.170375\pi\) |
−0.559204 | + | 0.829030i | \(0.688893\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.42915 | − | 24.5376i | 0.0598082 | − | 1.02687i | −0.826253 | − | 0.563299i | \(-0.809532\pi\) |
0.886061 | − | 0.463568i | \(-0.153431\pi\) | |||||||
\(572\) | 28.7140 | − | 3.35619i | 1.20059 | − | 0.140329i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −13.5558 | − | 6.80797i | −0.565807 | − | 0.284159i | ||||
\(575\) | 3.85763 | − | 3.23694i | 0.160874 | − | 0.134990i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.7824 | + | 14.0821i | 0.698659 | + | 0.586244i | 0.921392 | − | 0.388635i | \(-0.127053\pi\) |
−0.222733 | + | 0.974880i | \(0.571498\pi\) | |||||||
\(578\) | −0.616815 | − | 1.42994i | −0.0256561 | − | 0.0594775i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.249178 | − | 0.0590563i | −0.0103466 | − | 0.00245218i | ||||
\(581\) | −0.724233 | − | 2.41911i | −0.0300462 | − | 0.100361i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 56.5700 | + | 6.61208i | 2.34289 | + | 0.273844i | ||||
\(584\) | −0.642372 | + | 3.64307i | −0.0265815 | + | 0.150751i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.57882 | + | 48.6529i | 0.354388 | + | 2.00983i | ||||
\(587\) | −2.58921 | − | 44.4549i | −0.106868 | − | 1.83485i | −0.447069 | − | 0.894499i | \(-0.647532\pi\) |
0.340201 | − | 0.940353i | \(-0.389505\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.69983 | − | 10.8954i | 0.193653 | − | 0.448939i | ||||
\(590\) | −0.0665925 | + | 0.0334440i | −0.00274157 | + | 0.00137687i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −24.0922 | + | 5.70995i | −0.990183 | + | 0.234678i | ||||
\(593\) | 0.181983 | + | 0.315204i | 0.00747314 | + | 0.0129439i | 0.869738 | − | 0.493514i | \(-0.164288\pi\) |
−0.862265 | + | 0.506458i | \(0.830955\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.0630381 | + | 0.109185i | −0.00258431 | + | 0.00447616i | ||||
\(596\) | 4.88341 | − | 16.3117i | 0.200032 | − | 0.668154i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.78425 | + | 2.48894i | 0.154749 | + | 0.101780i | ||||
\(599\) | −16.6827 | − | 22.4087i | −0.681635 | − | 0.915594i | 0.317835 | − | 0.948146i | \(-0.397044\pi\) |
−0.999470 | + | 0.0325516i | \(0.989637\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.6392 | + | 11.6015i | −0.719519 | + | 0.473235i | −0.855715 | − | 0.517447i | \(-0.826882\pi\) |
0.136197 | + | 0.990682i | \(0.456512\pi\) | |||||||
\(602\) | 19.0580 | + | 6.93655i | 0.776746 | + | 0.282713i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 27.2469 | − | 9.91706i | 1.10866 | − | 0.403519i | ||||
\(605\) | −0.311916 | + | 0.418976i | −0.0126812 | + | 0.0170338i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 28.5674 | − | 30.2797i | 1.15952 | − | 1.22902i | 0.190588 | − | 0.981670i | \(-0.438960\pi\) |
0.968927 | − | 0.247345i | \(-0.0795581\pi\) | |||||||
\(608\) | 22.1207 | − | 23.4466i | 0.897113 | − | 0.950885i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.226345 | − | 0.304034i | 0.00916443 | − | 0.0123100i | ||||
\(611\) | −27.9136 | + | 10.1597i | −1.12926 | + | 0.411018i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.2653 | − | 5.19214i | −0.576170 | − | 0.209709i | 0.0374659 | − | 0.999298i | \(-0.488071\pi\) |
−0.613636 | + | 0.789589i | \(0.710294\pi\) | |||||||
\(614\) | −32.9742 | + | 21.6875i | −1.33073 | + | 0.875236i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.09529 | + | 2.81446i | 0.0844216 | + | 0.113398i | ||||
\(617\) | −30.5643 | − | 20.1025i | −1.23047 | − | 0.809295i | −0.243457 | − | 0.969912i | \(-0.578281\pi\) |
−0.987017 | + | 0.160616i | \(0.948652\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.79913 | − | 19.3704i | 0.233087 | − | 0.778563i | −0.758787 | − | 0.651338i | \(-0.774208\pi\) |
0.991874 | − | 0.127225i | \(-0.0406070\pi\) | |||||||
\(620\) | 0.0680007 | − | 0.117781i | 0.00273097 | − | 0.00473018i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −11.7081 | − | 20.2790i | −0.469450 | − | 0.813112i | ||||
\(623\) | −14.8230 | + | 3.51312i | −0.593872 | + | 0.140750i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 22.3350 | − | 11.2171i | 0.893401 | − | 0.448683i | ||||
\(626\) | 4.56544 | − | 10.5839i | 0.182472 | − | 0.423017i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.885406 | + | 15.2018i | 0.0353316 | + | 0.606619i | ||||
\(629\) | 4.83308 | + | 27.4098i | 0.192707 | + | 1.09290i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.06905 | + | 6.06286i | −0.0425580 | + | 0.241358i | −0.998665 | − | 0.0516602i | \(-0.983549\pi\) |
0.956107 | + | 0.293019i | \(0.0946598\pi\) | |||||||
\(632\) | 1.22757 | + | 0.143482i | 0.0488301 | + | 0.00570741i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.55569 | + | 11.8768i | 0.141214 | + | 0.471689i | ||||
\(635\) | −0.385078 | − | 0.0912651i | −0.0152813 | − | 0.00362174i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.12167 | − | 9.55510i | −0.163306 | − | 0.378587i | ||||
\(638\) | −52.9949 | − | 44.4680i | −2.09809 | − | 1.76051i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.0492363 | − | 0.0413141i | 0.00194623 | − | 0.00163308i | ||||
\(641\) | 36.6056 | + | 18.3840i | 1.44583 | + | 0.726125i | 0.986747 | − | 0.162267i | \(-0.0518804\pi\) |
0.459087 | + | 0.888391i | \(0.348177\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −24.3862 | + | 2.85034i | −0.961700 | + | 0.112407i | −0.582431 | − | 0.812880i | \(-0.697898\pi\) |
−0.379269 | + | 0.925287i | \(0.623824\pi\) | |||||||
\(644\) | −0.192924 | + | 3.31237i | −0.00760226 | + | 0.130526i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −22.4875 | − | 23.8354i | −0.884760 | − | 0.937791i | ||||
\(647\) | −44.0995 | −1.73373 | −0.866866 | − | 0.498542i | \(-0.833869\pi\) | ||||
−0.866866 | + | 0.498542i | \(0.833869\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10.5211 | −0.412990 | ||||||||
\(650\) | 15.4282 | + | 16.3529i | 0.605143 | + | 0.641414i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.661908 | + | 11.3645i | −0.0259223 | + | 0.445069i | ||||
\(653\) | −9.78245 | + | 1.14340i | −0.382817 | + | 0.0447449i | −0.305325 | − | 0.952248i | \(-0.598765\pi\) |
−0.0774916 | + | 0.996993i | \(0.524691\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.0147829 | − | 0.00742427i | −0.000577617 | − | 0.000290090i | ||||
\(656\) | −13.5279 | + | 11.3512i | −0.528174 | + | 0.443191i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −31.8953 | − | 26.7634i | −1.24341 | − | 1.04334i | ||||
\(659\) | 15.1344 | + | 35.0856i | 0.589554 | + | 1.36674i | 0.908068 | + | 0.418823i | \(0.137557\pi\) |
−0.318514 | + | 0.947918i | \(0.603184\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −30.7975 | − | 7.29915i | −1.19788 | − | 0.283904i | −0.417192 | − | 0.908819i | \(-0.636986\pi\) |
−0.780693 | + | 0.624915i | \(0.785134\pi\) | |||||||
\(662\) | −5.99738 | − | 20.0326i | −0.233095 | − | 0.778591i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.646984 | + | 0.0756216i | 0.0251078 | + | 0.00293469i | ||||
\(665\) | 0.0215833 | − | 0.122405i | 0.000836965 | − | 0.00474666i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.983652 | − | 5.57857i | −0.0380872 | − | 0.216003i | ||||
\(668\) | 1.20298 | + | 20.6545i | 0.0465449 | + | 0.799145i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.229846 | + | 0.532844i | −0.00887974 | + | 0.0205855i | ||||
\(671\) | 47.8228 | − | 24.0175i | 1.84618 | − | 0.927187i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.90549 | + | 2.11064i | −0.343281 | + | 0.0813592i | −0.398640 | − | 0.917107i | \(-0.630518\pi\) |
0.0553590 | + | 0.998467i | \(0.482370\pi\) | |||||||
\(674\) | 9.32222 | + | 16.1466i | 0.359079 | + | 0.621942i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 8.94828 | − | 15.4989i | 0.344165 | − | 0.596111i | ||||
\(677\) | −0.383509 | + | 1.28101i | −0.0147394 | + | 0.0492332i | −0.965043 | − | 0.262092i | \(-0.915588\pi\) |
0.950303 | + | 0.311325i | \(0.100773\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.34598 | − | 5.48924i | −0.320289 | − | 0.210658i | ||||
\(680\) | −0.0194209 | − | 0.0260868i | −0.000744756 | − | 0.00100038i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 30.6964 | − | 20.1893i | 1.17542 | − | 0.773089i | ||||
\(683\) | −13.8418 | − | 5.03800i | −0.529642 | − | 0.192774i | 0.0633367 | − | 0.997992i | \(-0.479826\pi\) |
−0.592978 | + | 0.805218i | \(0.702048\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.0826203 | − | 0.0300713i | 0.00315676 | − | 0.00114897i | ||||
\(686\) | 21.5822 | − | 28.9899i | 0.824012 | − | 1.10684i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 16.2024 | − | 17.1735i | 0.617709 | − | 0.654734i | ||||
\(689\) | −14.2880 | + | 15.1444i | −0.544329 | + | 0.576955i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.57469 | − | 12.8610i | 0.364238 | − | 0.489257i | −0.581791 | − | 0.813339i | \(-0.697648\pi\) |
0.946029 | + | 0.324081i | \(0.105055\pi\) | |||||||
\(692\) | 18.5251 | − | 6.74259i | 0.704219 | − | 0.256315i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.55168 | + | 2.02065i | 0.210739 | + | 0.0767027i | ||||
\(695\) | 0.0951161 | − | 0.0625589i | 0.00360796 | − | 0.00237299i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 11.8543 | + | 15.9231i | 0.449013 | + | 0.603129i | ||||
\(698\) | 46.8534 | + | 30.8160i | 1.77343 | + | 1.16640i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −4.72342 | + | 15.7773i | −0.178529 | + | 0.596327i | ||||
\(701\) | 1.43354 | − | 2.48297i | 0.0541441 | − | 0.0937804i | −0.837683 | − | 0.546157i | \(-0.816090\pi\) |
0.891827 | + | 0.452376i | \(0.149424\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.7195 | − | 23.7629i | −0.517441 | − | 0.896234i | ||||
\(704\) | 55.1917 | − | 13.0807i | 2.08012 | − | 0.492996i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.08117 | + | 2.55186i | −0.191233 | + | 0.0960406i | ||||
\(707\) | −1.66798 | + | 3.86682i | −0.0627309 | + | 0.145427i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.26949 | − | 21.7963i | −0.0476766 | − | 0.818576i | −0.934389 | − | 0.356254i | \(-0.884054\pi\) |
0.886712 | − | 0.462321i | \(-0.152983\pi\) | |||||||
\(710\) | −0.0336439 | − | 0.190804i | −0.00126263 | − | 0.00716075i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.682370 | − | 3.86991i | 0.0255729 | − | 0.145031i | ||||
\(713\) | 2.98807 | + | 0.349256i | 0.111904 | + | 0.0130797i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0787473 | − | 0.263034i | −0.00294498 | − | 0.00983692i | ||||
\(716\) | −20.5721 | − | 4.87568i | −0.768816 | − | 0.182213i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −15.0926 | − | 34.9886i | −0.563251 | − | 1.30576i | ||||
\(719\) | 11.5460 | + | 9.68821i | 0.430591 | + | 0.361309i | 0.832175 | − | 0.554513i | \(-0.187096\pi\) |
−0.401583 | + | 0.915822i | \(0.631540\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.21430 | + | 4.37531i | −0.194191 | + | 0.162945i | ||||
\(722\) | −5.88409 | − | 2.95510i | −0.218983 | − | 0.109977i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 21.3406 | − | 2.49435i | 0.793115 | − | 0.0927019i | ||||
\(725\) | 1.63486 | − | 28.0694i | 0.0607171 | − | 1.04247i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 36.8022 | + | 39.0081i | 1.36492 | + | 1.44673i | 0.758717 | + | 0.651421i | \(0.225827\pi\) |
0.606203 | + | 0.795310i | \(0.292692\pi\) | |||||||
\(728\) | −1.28267 | −0.0475390 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.405748 | 0.0150174 | ||||||||
\(731\) | −18.2133 | − | 19.3050i | −0.673643 | − | 0.714020i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.560345 | − | 9.62076i | 0.0206968 | − | 0.355351i | −0.972021 | − | 0.234892i | \(-0.924526\pi\) |
0.992718 | − | 0.120459i | \(-0.0384366\pi\) | |||||||
\(734\) | 8.40944 | − | 0.982922i | 0.310398 | − | 0.0362803i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.30330 | + | 3.66786i | 0.269203 | + | 0.135199i | ||||
\(737\) | −62.7631 | + | 52.6645i | −2.31191 | + | 1.93992i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.1436 | − | 12.7070i | −0.557067 | − | 0.467435i | 0.320259 | − | 0.947330i | \(-0.396230\pi\) |
−0.877326 | + | 0.479895i | \(0.840675\pi\) | |||||||
\(740\) | −0.124565 | − | 0.288773i | −0.00457908 | − | 0.0106155i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −28.3968 | − | 6.73017i | −1.04248 | − | 0.247072i | ||||
\(743\) | 14.6008 | + | 48.7700i | 0.535651 | + | 1.78920i | 0.610516 | + | 0.792004i | \(0.290962\pi\) |
−0.0748649 | + | 0.997194i | \(0.523853\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.160621 | − | 0.0187740i | −0.00588471 | − | 0.000687825i | ||||
\(746\) | −1.38612 | + | 7.86105i | −0.0507493 | + | 0.287814i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −9.20818 | − | 52.2222i | −0.336685 | − | 1.90943i | ||||
\(749\) | 0.359751 | + | 6.17669i | 0.0131450 | + | 0.225691i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.985759 | − | 2.28525i | 0.0359709 | − | 0.0833898i | −0.899284 | − | 0.437366i | \(-0.855911\pi\) |
0.935254 | + | 0.353976i | \(0.115171\pi\) | |||||||
\(752\) | −43.3153 | + | 21.7538i | −1.57955 | + | 0.793279i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 24.6079 | − | 5.83218i | 0.896166 | − | 0.212395i | ||||
\(755\) | −0.137693 | − | 0.238491i | −0.00501116 | − | 0.00867959i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.1617 | + | 21.0647i | −0.442025 | + | 0.765610i | −0.997840 | − | 0.0656966i | \(-0.979073\pi\) |
0.555815 | + | 0.831306i | \(0.312406\pi\) | |||||||
\(758\) | −18.4301 | + | 61.5609i | −0.669412 | + | 2.23599i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.0267876 | + | 0.0176185i | 0.000971688 | + | 0.000639089i | ||||
\(761\) | 12.3365 | + | 16.5709i | 0.447199 | + | 0.600693i | 0.967370 | − | 0.253370i | \(-0.0815389\pi\) |
−0.520170 | + | 0.854063i | \(0.674131\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.0919 | + | 7.95294i | −0.437755 | + | 0.287916i | ||||
\(764\) | −7.26505 | − | 2.64426i | −0.262840 | − | 0.0956660i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −43.6234 | + | 15.8776i | −1.57618 | + | 0.573681i | ||||
\(767\) | 2.29675 | − | 3.08507i | 0.0829307 | − | 0.111395i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 20.9653 | − | 22.2219i | 0.756029 | − | 0.801344i | −0.229056 | − | 0.973413i | \(-0.573564\pi\) |
0.985085 | + | 0.172069i | \(0.0550453\pi\) | |||||||
\(770\) | 0.264102 | − | 0.279932i | 0.00951758 | − | 0.0100880i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 28.2414 | − | 37.9348i | 1.01643 | − | 1.36530i | ||||
\(773\) | 10.0042 | − | 3.64122i | 0.359825 | − | 0.130966i | −0.155780 | − | 0.987792i | \(-0.549789\pi\) |
0.515606 | + | 0.856826i | \(0.327567\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 14.0321 | + | 5.10725i | 0.504046 | + | 0.183458i | ||||
\(776\) | 2.15290 | − | 1.41598i | 0.0772845 | − | 0.0508308i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −19.5386 | − | 26.2449i | −0.700492 | − | 0.940924i | ||||
\(779\) | −16.3508 | − | 10.7541i | −0.585830 | − | 0.385306i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.84541 | − | 26.2055i | 0.280731 | − | 0.937707i | ||||
\(782\) | 4.15406 | − | 7.19504i | 0.148549 | − | 0.257294i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −8.49011 | − | 14.7053i | −0.303218 | − | 0.525189i | ||||
\(785\) | 0.140726 | − | 0.0333528i | 0.00502274 | − | 0.00119041i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −10.1592 | + | 5.10213i | −0.362136 | + | 0.181871i | −0.620558 | − | 0.784161i | \(-0.713094\pi\) |
0.258422 | + | 0.966032i | \(0.416797\pi\) | |||||||
\(788\) | 14.3791 | − | 33.3346i | 0.512236 | − | 1.18750i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.00788213 | − | 0.135331i | −0.000280434 | − | 0.00481486i | ||||
\(791\) | −0.483497 | − | 2.74205i | −0.0171912 | − | 0.0974960i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.39710 | + | 19.2659i | −0.120634 | + | 0.684152i | ||||
\(794\) | 51.8146 | + | 6.05626i | 1.83883 | + | 0.214929i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 12.9658 | + | 43.3087i | 0.459560 | + | 1.53504i | ||||
\(797\) | 30.8999 | + | 7.32340i | 1.09453 | + | 0.259408i | 0.737949 | − | 0.674857i | \(-0.235795\pi\) |
0.356580 | + | 0.934265i | \(0.383943\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 21.5812 | + | 50.0309i | 0.763488 | + | 1.76996i | ||||
\(800\) | 31.0751 | + | 26.0751i | 1.09867 | + | 0.921893i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −15.4204 | + | 12.9392i | −0.544512 | + | 0.456900i | ||||
\(803\) | 51.1931 | + | 25.7101i | 1.80656 | + | 0.907291i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0312996 | − | 0.00365840i | 0.00110317 | − | 0.000128942i | ||||
\(806\) | −0.780942 | + | 13.4083i | −0.0275075 | + | 0.472286i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.745473 | − | 0.790155i | −0.0262256 | − | 0.0277975i | ||||
\(809\) | 13.8022 | 0.485261 | 0.242630 | − | 0.970119i | \(-0.421990\pi\) | ||||
0.242630 | + | 0.970119i | \(0.421990\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −45.3121 | −1.59112 | −0.795562 | − | 0.605873i | \(-0.792824\pi\) | ||||
−0.795562 | + | 0.605873i | \(0.792824\pi\) | |||||||
\(812\) | 12.7132 | + | 13.4752i | 0.446145 | + | 0.472886i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.93999 | − | 84.8164i | 0.173147 | − | 2.97281i | ||||
\(815\) | 0.107387 | − | 0.0125517i | 0.00376160 | − | 0.000439668i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 23.3822 | + | 11.7430i | 0.818039 | + | 0.410835i | ||||
\(818\) | 38.3352 | − | 32.1671i | 1.34036 | − | 1.12470i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.171829 | − | 0.144182i | −0.00600054 | − | 0.00503505i | ||||
\(821\) | −11.1773 | − | 25.9119i | −0.390091 | − | 0.904332i | −0.994212 | − | 0.107439i | \(-0.965735\pi\) |
0.604121 | − | 0.796893i | \(-0.293524\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.93146 | − | 0.457765i | −0.0673266 | − | 0.0159567i | 0.196815 | − | 0.980441i | \(-0.436940\pi\) |
−0.264141 | + | 0.964484i | \(0.585088\pi\) | |||||||
\(824\) | −0.503584 | − | 1.68209i | −0.0175432 | − | 0.0585982i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 5.35452 | + | 0.625853i | 0.186307 | + | 0.0217762i | ||||
\(827\) | −5.08225 | + | 28.8229i | −0.176727 | + | 1.00227i | 0.759404 | + | 0.650619i | \(0.225491\pi\) |
−0.936131 | + | 0.351650i | \(0.885621\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 4.01243 | + | 22.7556i | 0.139358 | + | 0.790336i | 0.971726 | + | 0.236113i | \(0.0758734\pi\) |
−0.832368 | + | 0.554223i | \(0.813015\pi\) | |||||||
\(830\) | −0.00415424 | − | 0.0713255i | −0.000144196 | − | 0.00247575i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −8.21268 | + | 19.0391i | −0.284723 | + | 0.660063i | ||||
\(833\) | −17.0574 | + | 8.56654i | −0.591003 | + | 0.296813i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.191202 | − | 0.0453158i | 0.00661683 | − | 0.00156822i | ||||
\(836\) | 26.1390 | + | 45.2740i | 0.904035 | + | 1.56583i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.45849 | + | 7.72233i | −0.154016 | + | 0.266763i | ||||
\(839\) | −1.41660 | + | 4.73177i | −0.0489064 | + | 0.163359i | −0.978954 | − | 0.204079i | \(-0.934580\pi\) |
0.930048 | + | 0.367438i | \(0.119765\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.19575 | − | 1.44417i | −0.0757156 | − | 0.0497989i | ||||
\(842\) | 1.54861 | + | 2.08014i | 0.0533686 | + | 0.0716865i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.97733 | + | 2.61593i | −0.136905 | + | 0.0900440i | ||||
\(845\) | −0.159723 | − | 0.0581343i | −0.00549463 | − | 0.00199988i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 35.5086 | − | 12.9241i | 1.22009 | − | 0.444076i | ||||
\(848\) | −20.2879 | + | 27.2513i | −0.696688 | + | 0.935815i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 28.2994 | − | 29.9956i | 0.970662 | − | 1.02884i | ||||
\(851\) | 4.77401 | − | 5.06016i | 0.163651 | − | 0.173460i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −20.1276 | + | 27.0360i | −0.689154 | + | 0.925695i | −0.999691 | − | 0.0248666i | \(-0.992084\pi\) |
0.310537 | + | 0.950561i | \(0.399491\pi\) | |||||||
\(854\) | −25.7672 | + | 9.37848i | −0.881734 | + | 0.320925i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.49976 | − | 0.545869i | −0.0512609 | − | 0.0186574i | ||||
\(857\) | −11.2055 | + | 7.37000i | −0.382774 | + | 0.251754i | −0.726284 | − | 0.687394i | \(-0.758754\pi\) |
0.343510 | + | 0.939149i | \(0.388384\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 15.0055 | + | 20.1559i | 0.511982 | + | 0.687711i | 0.980674 | − | 0.195650i | \(-0.0626818\pi\) |
−0.468691 | + | 0.883362i | \(0.655274\pi\) | |||||||
\(860\) | 0.250559 | + | 0.164795i | 0.00854399 | + | 0.00561947i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −20.9678 | + | 70.0372i | −0.714165 | + | 2.38548i | ||||
\(863\) | 6.50193 | − | 11.2617i | 0.221328 | − | 0.383352i | −0.733883 | − | 0.679276i | \(-0.762294\pi\) |
0.955212 | + | 0.295924i | \(0.0956274\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.0936173 | − | 0.162150i | −0.00318308 | − | 0.00551326i | ||||
\(866\) | −64.4464 | + | 15.2741i | −2.18998 | + | 0.519034i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −8.79230 | + | 4.41566i | −0.298430 | + | 0.149877i | ||||
\(869\) | 7.58073 | − | 17.5741i | 0.257159 | − | 0.596160i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.74150 | − | 29.9004i | −0.0590084 | − | 1.01314i | ||||
\(872\) | −0.648290 | − | 3.67663i | −0.0219539 | − | 0.124507i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −1.42229 | + | 8.06620i | −0.0481096 | + | 0.272843i | ||||
\(875\) | 0.310732 | + | 0.0363194i | 0.0105047 | + | 0.00122782i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.63995 | + | 8.81803i | 0.0891447 | + | 0.297764i | 0.990922 | − | 0.134437i | \(-0.0429225\pi\) |
−0.901778 | + | 0.432200i | \(0.857737\pi\) | |||||||
\(878\) | 17.6924 | + | 4.19317i | 0.597089 | + | 0.141513i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.177455 | − | 0.411386i | −0.00598199 | − | 0.0138678i | ||||
\(881\) | −13.6126 | − | 11.4223i | −0.458619 | − | 0.384827i | 0.384004 | − | 0.923331i | \(-0.374545\pi\) |
−0.842622 | + | 0.538505i | \(0.818989\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 30.2693 | − | 25.3990i | 1.01864 | − | 0.854744i | 0.0291877 | − | 0.999574i | \(-0.490708\pi\) |
0.989457 | + | 0.144830i | \(0.0462635\pi\) | |||||||
\(884\) | 17.3230 | + | 8.69996i | 0.582637 | + | 0.292611i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 27.3434 | − | 3.19599i | 0.918621 | − | 0.107371i | ||||
\(887\) | −3.09997 | + | 53.2245i | −0.104087 | + | 1.78710i | 0.393135 | + | 0.919481i | \(0.371390\pi\) |
−0.497222 | + | 0.867623i | \(0.665647\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 19.6468 | + | 20.8244i | 0.658934 | + | 0.698429i | ||||
\(890\) | −0.431013 | −0.0144476 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 49.4334 | 1.65515 | ||||||||
\(893\) | −36.8625 | − | 39.0720i | −1.23356 | − | 1.30749i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.0116753 | + | 0.200457i | −0.000390263 | + | 0.00670055i | ||||
\(896\) | −4.61833 | + | 0.539805i | −0.154287 | + | 0.0180336i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −32.5829 | − | 16.3638i | −1.08731 | − | 0.546066i | ||||
\(899\) | 12.8675 | − | 10.7971i | 0.429155 | − | 0.360104i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 29.2557 | + | 24.5485i | 0.974650 | + | 0.817829i | ||||
\(902\) | −24.0010 | − | 55.6406i | −0.799146 | − | 1.85263i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.698879 | + | 0.165637i | 0.0232444 | + | 0.00550902i | ||||
\(905\) | −0.0585258 | − | 0.195490i | −0.00194546 | − | 0.00649830i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.03453 | + | 0.354686i | 0.100760 | + | 0.0117771i | 0.166323 | − | 0.986071i | \(-0.446810\pi\) |
−0.0655635 | + | 0.997848i | \(0.520884\pi\) | |||||||
\(908\) | 7.01657 | − | 39.7929i | 0.232853 | − | 1.32057i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.0244302 | + | 0.138550i | 0.000809852 | + | 0.00459290i | ||||
\(911\) | −0.903060 | − | 15.5049i | −0.0299197 | − | 0.513702i | −0.979660 | − | 0.200663i | \(-0.935690\pi\) |
0.949741 | − | 0.313038i | \(-0.101347\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.99538 | − | 9.26234i | 0.132228 | − | 0.306539i | ||||
\(914\) | 2.28245 | − | 1.14629i | 0.0754966 | − | 0.0379158i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −24.0670 | + | 5.70399i | −0.795196 | + | 0.188465i | ||||
\(917\) | 0.598373 | + | 1.03641i | 0.0197600 | + | 0.0342253i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.19749 | + | 7.27027i | −0.138462 | + | 0.239824i | −0.926915 | − | 0.375272i | \(-0.877549\pi\) |
0.788452 | + | 0.615096i | \(0.210883\pi\) | |||||||
\(920\) | −0.00233139 | + | 0.00778740i | −7.68638e−5 | + | 0.000256743i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −32.2635 | − | 21.2201i | −1.06254 | − | 0.698846i | ||||
\(923\) | 5.97149 | + | 8.02110i | 0.196554 | + | 0.264018i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 28.8499 | − | 18.9749i | 0.948579 | − | 0.623890i | ||||
\(926\) | 22.8775 | + | 8.32674i | 0.751802 | + | 0.273634i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 42.8793 | − | 15.6068i | 1.40758 | − | 0.512318i | ||||
\(929\) | −15.3644 | + | 20.6379i | −0.504088 | + | 0.677108i | −0.979219 | − | 0.202808i | \(-0.934993\pi\) |
0.475131 | + | 0.879915i | \(0.342401\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.9135 | − | 13.6875i | 0.423224 | − | 0.448591i | ||||
\(932\) | 24.7529 | − | 26.2365i | 0.810808 | − | 0.859406i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −8.47399 | + | 11.3825i | −0.277277 | + | 0.372448i | ||||
\(935\) | −0.473261 | + | 0.172253i | −0.0154773 | + | 0.00563327i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −28.5906 | − | 10.4061i | −0.934015 | − | 0.339954i | −0.170215 | − | 0.985407i | \(-0.554446\pi\) |
−0.763800 | + | 0.645453i | \(0.776668\pi\) | |||||||
\(938\) | 35.0748 | − | 23.0691i | 1.14523 | − | 0.753231i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.367655 | − | 0.493847i | −0.0119916 | − | 0.0161075i | ||||
\(941\) | −45.7626 | − | 30.0985i | −1.49182 | − | 0.981183i | −0.993456 | − | 0.114214i | \(-0.963565\pi\) |
−0.498361 | − | 0.866970i | \(-0.666064\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.42306 | − | 4.75334i | 0.0463411 | − | 0.154790i | ||||
\(944\) | 3.13795 | − | 5.43509i | 0.102132 | − | 0.176897i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 40.5082 | + | 70.1623i | 1.31704 | + | 2.28117i | ||||
\(947\) | 18.8444 | − | 4.46620i | 0.612360 | − | 0.145132i | 0.0872783 | − | 0.996184i | \(-0.472183\pi\) |
0.525081 | + | 0.851052i | \(0.324035\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −18.7143 | + | 9.39865i | −0.607490 | + | 0.305093i | ||||
\(950\) | −16.1027 | + | 37.3302i | −0.522440 | + | 1.21115i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.136801 | + | 2.34879i | 0.00443375 | + | 0.0761246i | ||||
\(953\) | −1.98648 | − | 11.2659i | −0.0643484 | − | 0.364938i | −0.999930 | − | 0.0118276i | \(-0.996235\pi\) |
0.935582 | − | 0.353110i | \(-0.114876\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.0127507 | + | 0.0723128i | −0.000412603 | + | 0.00233999i | ||||
\(956\) | −23.8281 | − | 2.78511i | −0.770657 | − | 0.0900769i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 21.3937 | + | 71.4598i | 0.691198 | + | 2.30876i | ||||
\(959\) | −6.18919 | − | 1.46687i | −0.199859 | − | 0.0473676i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.74510 | − | 20.2734i | −0.282100 | − | 0.653982i | ||||
\(962\) | 23.7920 | + | 19.9638i | 0.767084 | + | 0.643660i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −33.4590 | + | 28.0754i | −1.07764 | + | 0.904248i | ||||
\(965\) | −0.401390 | − | 0.201586i | −0.0129212 | − | 0.00648927i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.72497 | − | 0.669153i | 0.184103 | − | 0.0215185i | −0.0235420 | − | 0.999723i | \(-0.507494\pi\) |
0.207645 | + | 0.978204i | \(0.433420\pi\) | |||||||
\(968\) | −0.566767 | + | 9.73101i | −0.0182166 | + | 0.312767i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.193955 | − | 0.205580i | −0.00622751 | − | 0.00660078i | ||||
\(971\) | −4.83812 | −0.155263 | −0.0776313 | − | 0.996982i | \(-0.524736\pi\) | ||||
−0.0776313 | + | 0.996982i | \(0.524736\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −8.23596 | −0.264033 | ||||||||
\(974\) | −49.3128 | − | 52.2685i | −1.58008 | − | 1.67479i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.85610 | + | 31.8680i | −0.0594124 | + | 1.02007i | ||||
\(977\) | −43.4366 | + | 5.07701i | −1.38966 | + | 0.162428i | −0.777786 | − | 0.628529i | \(-0.783657\pi\) |
−0.611872 | + | 0.790956i | \(0.709583\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −54.3807 | − | 27.3110i | −1.73801 | − | 0.872864i | ||||
\(980\) | 0.165221 | − | 0.138637i | 0.00527779 | − | 0.00442860i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 39.2898 | + | 32.9680i | 1.25379 | + | 1.05205i | ||||
\(983\) | 16.7435 | + | 38.8158i | 0.534035 | + | 1.23803i | 0.945206 | + | 0.326474i | \(0.105861\pi\) |
−0.411171 | + | 0.911558i | \(0.634880\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.335502 | − | 0.0795153i | −0.0106900 | − | 0.00253357i | ||||
\(986\) | −13.3042 | − | 44.4391i | −0.423692 | − | 1.41523i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −18.9816 | − | 2.21863i | −0.603886 | − | 0.0705841i | ||||
\(989\) | −1.15195 | + | 6.53305i | −0.0366300 | + | 0.207739i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.65706 | − | 26.4115i | −0.147936 | − | 0.838989i | −0.964962 | − | 0.262388i | \(-0.915490\pi\) |
0.817026 | − | 0.576601i | \(-0.195621\pi\) | |||||||
\(992\) | 1.40909 | + | 24.1932i | 0.0447388 | + | 0.768135i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −5.55161 | + | 12.8701i | −0.176086 | + | 0.408214i | ||||
\(995\) | 0.383694 | − | 0.192698i | 0.0121639 | − | 0.00610894i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 21.5138 | − | 5.09887i | 0.681350 | − | 0.161483i | 0.124655 | − | 0.992200i | \(-0.460218\pi\) |
0.556695 | + | 0.830717i | \(0.312069\pi\) | |||||||
\(998\) | 21.7006 | + | 37.5866i | 0.686922 | + | 1.18978i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 729.2.g.b.109.2 | 144 | ||
3.2 | odd | 2 | 729.2.g.c.109.7 | 144 | |||
9.2 | odd | 6 | 81.2.g.a.49.7 | yes | 144 | ||
9.4 | even | 3 | 729.2.g.a.595.7 | 144 | |||
9.5 | odd | 6 | 729.2.g.d.595.2 | 144 | |||
9.7 | even | 3 | 243.2.g.a.37.2 | 144 | |||
81.11 | odd | 54 | 729.2.g.c.622.7 | 144 | |||
81.16 | even | 27 | 243.2.g.a.46.2 | 144 | |||
81.31 | even | 27 | 6561.2.a.d.1.60 | 72 | |||
81.38 | odd | 54 | 729.2.g.d.136.2 | 144 | |||
81.43 | even | 27 | 729.2.g.a.136.7 | 144 | |||
81.50 | odd | 54 | 6561.2.a.c.1.13 | 72 | |||
81.65 | odd | 54 | 81.2.g.a.43.7 | ✓ | 144 | ||
81.70 | even | 27 | inner | 729.2.g.b.622.2 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.43.7 | ✓ | 144 | 81.65 | odd | 54 | ||
81.2.g.a.49.7 | yes | 144 | 9.2 | odd | 6 | ||
243.2.g.a.37.2 | 144 | 9.7 | even | 3 | |||
243.2.g.a.46.2 | 144 | 81.16 | even | 27 | |||
729.2.g.a.136.7 | 144 | 81.43 | even | 27 | |||
729.2.g.a.595.7 | 144 | 9.4 | even | 3 | |||
729.2.g.b.109.2 | 144 | 1.1 | even | 1 | trivial | ||
729.2.g.b.622.2 | 144 | 81.70 | even | 27 | inner | ||
729.2.g.c.109.7 | 144 | 3.2 | odd | 2 | |||
729.2.g.c.622.7 | 144 | 81.11 | odd | 54 | |||
729.2.g.d.136.2 | 144 | 81.38 | odd | 54 | |||
729.2.g.d.595.2 | 144 | 9.5 | odd | 6 | |||
6561.2.a.c.1.13 | 72 | 81.50 | odd | 54 | |||
6561.2.a.d.1.60 | 72 | 81.31 | even | 27 |