Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(31,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bz (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 31.6 | ||
Character | \(\chi\) | \(=\) | 273.31 |
Dual form | 273.2.bz.a.229.6 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.905729 | + | 0.242689i | 0.640447 | + | 0.171607i | 0.564406 | − | 0.825497i | \(-0.309105\pi\) |
0.0760411 | + | 0.997105i | \(0.475772\pi\) | |||||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | −0.970604 | − | 0.560379i | −0.485302 | − | 0.280189i | ||||
\(5\) | −0.812951 | + | 3.03397i | −0.363563 | + | 1.35683i | 0.505796 | + | 0.862653i | \(0.331199\pi\) |
−0.869359 | + | 0.494181i | \(0.835468\pi\) | |||||||
\(6\) | −0.663040 | − | 0.663040i | −0.270685 | − | 0.270685i | ||||
\(7\) | −0.856042 | + | 2.50344i | −0.323553 | + | 0.946210i | ||||
\(8\) | −2.06919 | − | 2.06919i | −0.731567 | − | 0.731567i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −1.47263 | + | 2.55066i | −0.465685 | + | 0.806591i | ||||
\(11\) | −3.76607 | + | 1.00911i | −1.13551 | + | 0.304260i | −0.777145 | − | 0.629321i | \(-0.783333\pi\) |
−0.358367 | + | 0.933581i | \(0.616666\pi\) | |||||||
\(12\) | 0.560379 | + | 0.970604i | 0.161767 | + | 0.280189i | ||||
\(13\) | 1.80613 | + | 3.12056i | 0.500929 | + | 0.865488i | ||||
\(14\) | −1.38290 | + | 2.05968i | −0.369595 | + | 0.550473i | ||||
\(15\) | 2.22102 | − | 2.22102i | 0.573466 | − | 0.573466i | ||||
\(16\) | −0.251194 | − | 0.435081i | −0.0627986 | − | 0.108770i | ||||
\(17\) | 2.46817 | − | 4.27499i | 0.598619 | − | 1.03684i | −0.394406 | − | 0.918936i | \(-0.629050\pi\) |
0.993025 | − | 0.117902i | \(-0.0376169\pi\) | |||||||
\(18\) | 0.242689 | + | 0.905729i | 0.0572024 | + | 0.213482i | ||||
\(19\) | −0.973864 | + | 3.63451i | −0.223420 | + | 0.833814i | 0.759612 | + | 0.650377i | \(0.225389\pi\) |
−0.983031 | + | 0.183437i | \(0.941278\pi\) | |||||||
\(20\) | 2.48923 | − | 2.48923i | 0.556608 | − | 0.556608i | ||||
\(21\) | 1.99307 | − | 1.74002i | 0.434924 | − | 0.379703i | ||||
\(22\) | −3.65594 | −0.779449 | ||||||||
\(23\) | −6.01794 | + | 3.47446i | −1.25483 | + | 0.724475i | −0.972064 | − | 0.234715i | \(-0.924584\pi\) |
−0.282763 | + | 0.959190i | \(0.591251\pi\) | |||||||
\(24\) | 0.757374 | + | 2.82656i | 0.154598 | + | 0.576969i | ||||
\(25\) | −4.21398 | − | 2.43294i | −0.842797 | − | 0.486589i | ||||
\(26\) | 0.878534 | + | 3.26471i | 0.172295 | + | 0.640262i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 2.23375 | − | 1.95014i | 0.422139 | − | 0.368541i | ||||
\(29\) | 2.26093 | 0.419845 | 0.209922 | − | 0.977718i | \(-0.432679\pi\) | ||||
0.209922 | + | 0.977718i | \(0.432679\pi\) | |||||||
\(30\) | 2.55066 | − | 1.47263i | 0.465685 | − | 0.268864i | ||||
\(31\) | 6.50462 | − | 1.74291i | 1.16826 | − | 0.313036i | 0.378003 | − | 0.925805i | \(-0.376611\pi\) |
0.790262 | + | 0.612769i | \(0.209944\pi\) | |||||||
\(32\) | 1.39282 | + | 5.19809i | 0.246219 | + | 0.918901i | ||||
\(33\) | 3.76607 | + | 1.00911i | 0.655588 | + | 0.175664i | ||||
\(34\) | 3.27299 | − | 3.27299i | 0.561313 | − | 0.561313i | ||||
\(35\) | −6.89944 | − | 4.63238i | −1.16622 | − | 0.783015i | ||||
\(36\) | − | 1.12076i | − | 0.186793i | ||||||
\(37\) | 1.69884 | − | 6.34014i | 0.279287 | − | 1.04231i | −0.673627 | − | 0.739071i | \(-0.735265\pi\) |
0.952914 | − | 0.303241i | \(-0.0980687\pi\) | |||||||
\(38\) | −1.76411 | + | 3.05553i | −0.286177 | + | 0.495673i | ||||
\(39\) | −0.00387011 | − | 3.60555i | −0.000619714 | − | 0.577350i | ||||
\(40\) | 7.96000 | − | 4.59571i | 1.25859 | − | 0.726645i | ||||
\(41\) | −4.12262 | − | 4.12262i | −0.643845 | − | 0.643845i | 0.307653 | − | 0.951499i | \(-0.400456\pi\) |
−0.951499 | + | 0.307653i | \(0.900456\pi\) | |||||||
\(42\) | 2.22747 | − | 1.09229i | 0.343706 | − | 0.168544i | ||||
\(43\) | 3.84336i | 0.586106i | 0.956096 | + | 0.293053i | \(0.0946713\pi\) | ||||
−0.956096 | + | 0.293053i | \(0.905329\pi\) | |||||||
\(44\) | 4.22085 | + | 1.13097i | 0.636317 | + | 0.170501i | ||||
\(45\) | −3.03397 | + | 0.812951i | −0.452278 | + | 0.121188i | ||||
\(46\) | −6.29384 | + | 1.68643i | −0.927976 | + | 0.248650i | ||||
\(47\) | −1.92757 | − | 0.516490i | −0.281164 | − | 0.0753378i | 0.115481 | − | 0.993310i | \(-0.463159\pi\) |
−0.396645 | + | 0.917972i | \(0.629826\pi\) | |||||||
\(48\) | 0.502389i | 0.0725136i | ||||||||
\(49\) | −5.53438 | − | 4.28609i | −0.790626 | − | 0.612299i | ||||
\(50\) | −3.22628 | − | 3.22628i | −0.456264 | − | 0.456264i | ||||
\(51\) | −4.27499 | + | 2.46817i | −0.598619 | + | 0.345613i | ||||
\(52\) | −0.00433746 | − | 4.04095i | −0.000601497 | − | 0.560378i | ||||
\(53\) | 0.345564 | − | 0.598535i | 0.0474669 | − | 0.0822151i | −0.841316 | − | 0.540544i | \(-0.818218\pi\) |
0.888783 | + | 0.458329i | \(0.151552\pi\) | |||||||
\(54\) | 0.242689 | − | 0.905729i | 0.0330258 | − | 0.123254i | ||||
\(55\) | − | 12.2465i | − | 1.65132i | ||||||
\(56\) | 6.95138 | − | 3.40876i | 0.928918 | − | 0.455515i | ||||
\(57\) | 2.66065 | − | 2.66065i | 0.352411 | − | 0.352411i | ||||
\(58\) | 2.04779 | + | 0.548704i | 0.268888 | + | 0.0720484i | ||||
\(59\) | 3.53717 | + | 13.2009i | 0.460500 | + | 1.71861i | 0.671393 | + | 0.741101i | \(0.265696\pi\) |
−0.210893 | + | 0.977509i | \(0.567637\pi\) | |||||||
\(60\) | −3.40035 | + | 0.911121i | −0.438983 | + | 0.117625i | ||||
\(61\) | 8.50811 | − | 4.91216i | 1.08935 | − | 0.628938i | 0.155948 | − | 0.987765i | \(-0.450157\pi\) |
0.933404 | + | 0.358828i | \(0.116823\pi\) | |||||||
\(62\) | 6.31441 | 0.801931 | ||||||||
\(63\) | −2.59606 | + | 0.510364i | −0.327073 | + | 0.0642998i | ||||
\(64\) | 6.05086i | 0.756358i | ||||||||
\(65\) | −10.9360 | + | 2.94288i | −1.35644 | + | 0.365019i | ||||
\(66\) | 3.16614 | + | 1.82797i | 0.389724 | + | 0.225007i | ||||
\(67\) | 2.18828 | + | 8.16676i | 0.267341 | + | 0.997729i | 0.960802 | + | 0.277235i | \(0.0894181\pi\) |
−0.693461 | + | 0.720494i | \(0.743915\pi\) | |||||||
\(68\) | −4.79123 | + | 2.76622i | −0.581022 | + | 0.335453i | ||||
\(69\) | 6.94892 | 0.836552 | ||||||||
\(70\) | −5.12479 | − | 5.87010i | −0.612530 | − | 0.701611i | ||||
\(71\) | −1.76099 | + | 1.76099i | −0.208991 | + | 0.208991i | −0.803839 | − | 0.594847i | \(-0.797212\pi\) |
0.594847 | + | 0.803839i | \(0.297212\pi\) | |||||||
\(72\) | 0.757374 | − | 2.82656i | 0.0892574 | − | 0.333113i | ||||
\(73\) | 3.85867 | + | 14.4008i | 0.451623 | + | 1.68548i | 0.697829 | + | 0.716264i | \(0.254149\pi\) |
−0.246206 | + | 0.969217i | \(0.579184\pi\) | |||||||
\(74\) | 3.07737 | − | 5.33016i | 0.357737 | − | 0.619618i | ||||
\(75\) | 2.43294 | + | 4.21398i | 0.280932 | + | 0.486589i | ||||
\(76\) | 2.98194 | − | 2.98194i | 0.342052 | − | 0.342052i | ||||
\(77\) | 0.697657 | − | 10.2920i | 0.0795054 | − | 1.17288i | ||||
\(78\) | 0.871523 | − | 3.26659i | 0.0986805 | − | 0.369868i | ||||
\(79\) | −2.69505 | − | 4.66797i | −0.303217 | − | 0.525187i | 0.673646 | − | 0.739054i | \(-0.264727\pi\) |
−0.976863 | + | 0.213867i | \(0.931394\pi\) | |||||||
\(80\) | 1.52423 | − | 0.408417i | 0.170415 | − | 0.0456625i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −2.73346 | − | 4.73449i | −0.301860 | − | 0.522837i | ||||
\(83\) | 6.16918 | + | 6.16918i | 0.677155 | + | 0.677155i | 0.959356 | − | 0.282200i | \(-0.0910643\pi\) |
−0.282200 | + | 0.959356i | \(0.591064\pi\) | |||||||
\(84\) | −2.90955 | + | 0.571994i | −0.317458 | + | 0.0624097i | ||||
\(85\) | 10.9637 | + | 10.9637i | 1.18918 | + | 1.18918i | ||||
\(86\) | −0.932741 | + | 3.48104i | −0.100580 | + | 0.375370i | ||||
\(87\) | −1.95803 | − | 1.13047i | −0.209922 | − | 0.121199i | ||||
\(88\) | 9.88074 | + | 5.70465i | 1.05329 | + | 0.608117i | ||||
\(89\) | −7.54298 | − | 2.02113i | −0.799554 | − | 0.214240i | −0.164166 | − | 0.986433i | \(-0.552493\pi\) |
−0.635388 | + | 0.772193i | \(0.719160\pi\) | |||||||
\(90\) | −2.94525 | −0.310457 | ||||||||
\(91\) | −9.35825 | + | 1.85019i | −0.981011 | + | 0.193953i | ||||
\(92\) | 7.78805 | 0.811961 | ||||||||
\(93\) | −6.50462 | − | 1.74291i | −0.674498 | − | 0.180731i | ||||
\(94\) | −1.62051 | − | 0.935599i | −0.167142 | − | 0.0964997i | ||||
\(95\) | −10.2353 | − | 5.90936i | −1.05012 | − | 0.606287i | ||||
\(96\) | 1.39282 | − | 5.19809i | 0.142155 | − | 0.530528i | ||||
\(97\) | 6.07661 | + | 6.07661i | 0.616986 | + | 0.616986i | 0.944757 | − | 0.327771i | \(-0.106298\pi\) |
−0.327771 | + | 0.944757i | \(0.606298\pi\) | |||||||
\(98\) | −3.97246 | − | 5.22517i | −0.401279 | − | 0.527822i | ||||
\(99\) | −2.75695 | − | 2.75695i | −0.277084 | − | 0.277084i | ||||
\(100\) | 2.72674 | + | 4.72285i | 0.272674 | + | 0.472285i | ||||
\(101\) | −5.74102 | + | 9.94373i | −0.571252 | + | 0.989438i | 0.425185 | + | 0.905106i | \(0.360209\pi\) |
−0.996438 | + | 0.0843319i | \(0.973124\pi\) | |||||||
\(102\) | −4.47098 | + | 1.19800i | −0.442693 | + | 0.118619i | ||||
\(103\) | 3.82249 | + | 6.62075i | 0.376641 | + | 0.652362i | 0.990571 | − | 0.136999i | \(-0.0437456\pi\) |
−0.613930 | + | 0.789361i | \(0.710412\pi\) | |||||||
\(104\) | 2.71981 | − | 10.1942i | 0.266699 | − | 0.999627i | ||||
\(105\) | 3.65890 | + | 7.46148i | 0.357072 | + | 0.728166i | ||||
\(106\) | 0.458245 | − | 0.458245i | 0.0445087 | − | 0.0445087i | ||||
\(107\) | −1.15874 | − | 2.00700i | −0.112020 | − | 0.194024i | 0.804565 | − | 0.593865i | \(-0.202399\pi\) |
−0.916585 | + | 0.399841i | \(0.869065\pi\) | |||||||
\(108\) | −0.560379 | + | 0.970604i | −0.0539225 | + | 0.0933964i | ||||
\(109\) | −0.658672 | − | 2.45820i | −0.0630894 | − | 0.235453i | 0.927180 | − | 0.374616i | \(-0.122225\pi\) |
−0.990269 | + | 0.139163i | \(0.955559\pi\) | |||||||
\(110\) | 2.97210 | − | 11.0920i | 0.283378 | − | 1.05758i | ||||
\(111\) | −4.64130 | + | 4.64130i | −0.440533 | + | 0.440533i | ||||
\(112\) | 1.30423 | − | 0.256401i | 0.123238 | − | 0.0242276i | ||||
\(113\) | −2.38032 | −0.223921 | −0.111961 | − | 0.993713i | \(-0.535713\pi\) | ||||
−0.111961 | + | 0.993713i | \(0.535713\pi\) | |||||||
\(114\) | 3.05553 | − | 1.76411i | 0.286177 | − | 0.165224i | ||||
\(115\) | −5.64913 | − | 21.0828i | −0.526784 | − | 1.96599i | ||||
\(116\) | −2.19447 | − | 1.26698i | −0.203752 | − | 0.117636i | ||||
\(117\) | −1.79942 | + | 3.12443i | −0.166357 | + | 0.288854i | ||||
\(118\) | 12.8149i | 1.17970i | ||||||||
\(119\) | 8.58932 | + | 9.83848i | 0.787382 | + | 0.901892i | ||||
\(120\) | −9.19142 | −0.839058 | ||||||||
\(121\) | 3.63868 | − | 2.10079i | 0.330789 | − | 0.190981i | ||||
\(122\) | 8.89817 | − | 2.38426i | 0.805603 | − | 0.215861i | ||||
\(123\) | 1.50898 | + | 5.63161i | 0.136061 | + | 0.507785i | ||||
\(124\) | −7.29010 | − | 1.95338i | −0.654671 | − | 0.175418i | ||||
\(125\) | −0.297866 | + | 0.297866i | −0.0266420 | + | 0.0266420i | ||||
\(126\) | −2.47519 | − | 0.167785i | −0.220507 | − | 0.0149474i | ||||
\(127\) | − | 14.2572i | − | 1.26512i | −0.774510 | − | 0.632562i | \(-0.782003\pi\) | ||
0.774510 | − | 0.632562i | \(-0.217997\pi\) | |||||||
\(128\) | 1.31717 | − | 4.91574i | 0.116422 | − | 0.434494i | ||||
\(129\) | 1.92168 | − | 3.32844i | 0.169194 | − | 0.293053i | ||||
\(130\) | −10.6193 | + | 0.0113985i | −0.931370 | + | 0.000999711i | ||||
\(131\) | −4.52495 | + | 2.61248i | −0.395347 | + | 0.228254i | −0.684474 | − | 0.729037i | \(-0.739968\pi\) |
0.289127 | + | 0.957291i | \(0.406635\pi\) | |||||||
\(132\) | −3.08988 | − | 3.08988i | −0.268939 | − | 0.268939i | ||||
\(133\) | −8.26510 | − | 5.54930i | −0.716675 | − | 0.481185i | ||||
\(134\) | 7.92794i | 0.684870i | ||||||||
\(135\) | 3.03397 | + | 0.812951i | 0.261123 | + | 0.0699677i | ||||
\(136\) | −13.9529 | + | 3.73866i | −1.19645 | + | 0.320587i | ||||
\(137\) | 16.1716 | − | 4.33316i | 1.38163 | − | 0.370207i | 0.509918 | − | 0.860223i | \(-0.329676\pi\) |
0.871713 | + | 0.490016i | \(0.163009\pi\) | |||||||
\(138\) | 6.29384 | + | 1.68643i | 0.535767 | + | 0.143558i | ||||
\(139\) | 0.337303i | 0.0286097i | 0.999898 | + | 0.0143048i | \(0.00455352\pi\) | ||||
−0.999898 | + | 0.0143048i | \(0.995446\pi\) | |||||||
\(140\) | 4.10074 | + | 8.36251i | 0.346576 | + | 0.706761i | ||||
\(141\) | 1.41108 | + | 1.41108i | 0.118834 | + | 0.118834i | ||||
\(142\) | −2.02235 | + | 1.16761i | −0.169712 | + | 0.0979834i | ||||
\(143\) | −9.95100 | − | 9.92966i | −0.832144 | − | 0.830360i | ||||
\(144\) | 0.251194 | − | 0.435081i | 0.0209329 | − | 0.0362568i | ||||
\(145\) | −1.83803 | + | 6.85961i | −0.152640 | + | 0.569660i | ||||
\(146\) | 13.9796i | 1.15696i | ||||||||
\(147\) | 2.64987 | + | 6.47906i | 0.218558 | + | 0.534384i | ||||
\(148\) | −5.20177 | + | 5.20177i | −0.427583 | + | 0.427583i | ||||
\(149\) | 7.47809 | + | 2.00375i | 0.612629 | + | 0.164153i | 0.551775 | − | 0.833993i | \(-0.313951\pi\) |
0.0608543 | + | 0.998147i | \(0.480617\pi\) | |||||||
\(150\) | 1.18090 | + | 4.40717i | 0.0964200 | + | 0.359844i | ||||
\(151\) | −16.0231 | + | 4.29336i | −1.30394 | + | 0.349389i | −0.842938 | − | 0.538011i | \(-0.819176\pi\) |
−0.461000 | + | 0.887400i | \(0.652509\pi\) | |||||||
\(152\) | 9.53558 | − | 5.50537i | 0.773438 | − | 0.446544i | ||||
\(153\) | 4.93634 | 0.399079 | ||||||||
\(154\) | 3.12964 | − | 9.15241i | 0.252193 | − | 0.737522i | ||||
\(155\) | 21.1518i | 1.69895i | ||||||||
\(156\) | −2.01672 | + | 3.50173i | −0.161467 | + | 0.280363i | ||||
\(157\) | 20.9544 | + | 12.0980i | 1.67234 | + | 0.965527i | 0.966323 | + | 0.257334i | \(0.0828439\pi\) |
0.706019 | + | 0.708193i | \(0.250489\pi\) | |||||||
\(158\) | −1.30812 | − | 4.88197i | −0.104068 | − | 0.388389i | ||||
\(159\) | −0.598535 | + | 0.345564i | −0.0474669 | + | 0.0274050i | ||||
\(160\) | −16.9032 | −1.33631 | ||||||||
\(161\) | −3.54648 | − | 18.0398i | −0.279502 | − | 1.42174i | ||||
\(162\) | −0.663040 | + | 0.663040i | −0.0520933 | + | 0.0520933i | ||||
\(163\) | 4.59018 | − | 17.1308i | 0.359531 | − | 1.34179i | −0.515155 | − | 0.857097i | \(-0.672266\pi\) |
0.874686 | − | 0.484690i | \(-0.161068\pi\) | |||||||
\(164\) | 1.69121 | + | 6.31166i | 0.132061 | + | 0.492858i | ||||
\(165\) | −6.12326 | + | 10.6058i | −0.476695 | + | 0.825660i | ||||
\(166\) | 4.09041 | + | 7.08480i | 0.317477 | + | 0.549887i | ||||
\(167\) | 4.91656 | − | 4.91656i | 0.380455 | − | 0.380455i | −0.490811 | − | 0.871266i | \(-0.663299\pi\) |
0.871266 | + | 0.490811i | \(0.163299\pi\) | |||||||
\(168\) | −7.72446 | − | 0.523615i | −0.595955 | − | 0.0403978i | ||||
\(169\) | −6.47582 | + | 11.2723i | −0.498140 | + | 0.867097i | ||||
\(170\) | 7.26938 | + | 12.5909i | 0.557536 | + | 0.965681i | ||||
\(171\) | −3.63451 | + | 0.973864i | −0.277938 | + | 0.0744732i | ||||
\(172\) | 2.15373 | − | 3.73038i | 0.164221 | − | 0.284439i | ||||
\(173\) | −4.51431 | − | 7.81901i | −0.343217 | − | 0.594468i | 0.641812 | − | 0.766862i | \(-0.278183\pi\) |
−0.985028 | + | 0.172394i | \(0.944850\pi\) | |||||||
\(174\) | −1.49909 | − | 1.49909i | −0.113646 | − | 0.113646i | ||||
\(175\) | 9.69806 | − | 8.46673i | 0.733105 | − | 0.640025i | ||||
\(176\) | 1.38506 | + | 1.38506i | 0.104403 | + | 0.104403i | ||||
\(177\) | 3.53717 | − | 13.2009i | 0.265870 | − | 0.992240i | ||||
\(178\) | −6.34138 | − | 3.66120i | −0.475307 | − | 0.274419i | ||||
\(179\) | −9.38548 | − | 5.41871i | −0.701503 | − | 0.405013i | 0.106404 | − | 0.994323i | \(-0.466066\pi\) |
−0.807907 | + | 0.589310i | \(0.799400\pi\) | |||||||
\(180\) | 3.40035 | + | 0.911121i | 0.253447 | + | 0.0679109i | ||||
\(181\) | −15.2064 | −1.13029 | −0.565143 | − | 0.824993i | \(-0.691179\pi\) | ||||
−0.565143 | + | 0.824993i | \(0.691179\pi\) | |||||||
\(182\) | −8.92506 | − | 0.595376i | −0.661569 | − | 0.0441322i | ||||
\(183\) | −9.82432 | −0.726235 | ||||||||
\(184\) | 19.6415 | + | 5.26293i | 1.44799 | + | 0.387989i | ||||
\(185\) | 17.8547 | + | 10.3084i | 1.31271 | + | 0.757892i | ||||
\(186\) | −5.46844 | − | 3.15720i | −0.400965 | − | 0.231497i | ||||
\(187\) | −4.98133 | + | 18.5906i | −0.364271 | + | 1.35948i | ||||
\(188\) | 1.58147 | + | 1.58147i | 0.115341 | + | 0.115341i | ||||
\(189\) | 2.50344 | + | 0.856042i | 0.182098 | + | 0.0622679i | ||||
\(190\) | −7.83627 | − | 7.83627i | −0.568503 | − | 0.568503i | ||||
\(191\) | 1.06302 | + | 1.84121i | 0.0769177 | + | 0.133225i | 0.901919 | − | 0.431906i | \(-0.142159\pi\) |
−0.825001 | + | 0.565131i | \(0.808825\pi\) | |||||||
\(192\) | 3.02543 | − | 5.24020i | 0.218342 | − | 0.378179i | ||||
\(193\) | −10.3901 | + | 2.78401i | −0.747895 | + | 0.200398i | −0.612584 | − | 0.790405i | \(-0.709870\pi\) |
−0.135311 | + | 0.990803i | \(0.543203\pi\) | |||||||
\(194\) | 4.02903 | + | 6.97848i | 0.289267 | + | 0.501026i | ||||
\(195\) | 10.9423 | + | 2.91939i | 0.783594 | + | 0.209062i | ||||
\(196\) | 2.96986 | + | 7.26145i | 0.212133 | + | 0.518675i | ||||
\(197\) | 13.7022 | − | 13.7022i | 0.976243 | − | 0.976243i | −0.0234809 | − | 0.999724i | \(-0.507475\pi\) |
0.999724 | + | 0.0234809i | \(0.00747490\pi\) | |||||||
\(198\) | −1.82797 | − | 3.16614i | −0.129908 | − | 0.225007i | ||||
\(199\) | −1.07121 | + | 1.85539i | −0.0759362 | + | 0.131525i | −0.901493 | − | 0.432794i | \(-0.857528\pi\) |
0.825557 | + | 0.564319i | \(0.190861\pi\) | |||||||
\(200\) | 3.68530 | + | 13.7537i | 0.260590 | + | 0.972535i | ||||
\(201\) | 2.18828 | − | 8.16676i | 0.154349 | − | 0.576039i | ||||
\(202\) | −7.61304 | + | 7.61304i | −0.535652 | + | 0.535652i | ||||
\(203\) | −1.93545 | + | 5.66010i | −0.135842 | + | 0.397261i | ||||
\(204\) | 5.53244 | 0.387348 | ||||||||
\(205\) | 15.8594 | − | 9.15644i | 1.10767 | − | 0.639514i | ||||
\(206\) | 1.85536 | + | 6.92428i | 0.129269 | + | 0.482438i | ||||
\(207\) | −6.01794 | − | 3.47446i | −0.418276 | − | 0.241492i | ||||
\(208\) | 0.904010 | − | 1.56968i | 0.0626818 | − | 0.108838i | ||||
\(209\) | − | 14.6706i | − | 1.01478i | ||||||
\(210\) | 1.50315 | + | 7.64605i | 0.103727 | + | 0.527628i | ||||
\(211\) | 2.65307 | 0.182645 | 0.0913224 | − | 0.995821i | \(-0.470891\pi\) | ||||
0.0913224 | + | 0.995821i | \(0.470891\pi\) | |||||||
\(212\) | −0.670812 | + | 0.387294i | −0.0460716 | + | 0.0265994i | ||||
\(213\) | 2.40556 | − | 0.644568i | 0.164826 | − | 0.0441650i | ||||
\(214\) | −0.562429 | − | 2.09901i | −0.0384469 | − | 0.143486i | ||||
\(215\) | −11.6606 | − | 3.12446i | −0.795249 | − | 0.213086i | ||||
\(216\) | −2.06919 | + | 2.06919i | −0.140790 | + | 0.140790i | ||||
\(217\) | −1.20497 | + | 17.7759i | −0.0817986 | + | 1.20671i | ||||
\(218\) | − | 2.38631i | − | 0.161622i | ||||||
\(219\) | 3.85867 | − | 14.4008i | 0.260745 | − | 0.973113i | ||||
\(220\) | −6.86268 | + | 11.8865i | −0.462682 | + | 0.801389i | ||||
\(221\) | 17.7982 | − | 0.0191042i | 1.19724 | − | 0.00128509i | ||||
\(222\) | −5.33016 | + | 3.07737i | −0.357737 | + | 0.206539i | ||||
\(223\) | −14.3736 | − | 14.3736i | −0.962529 | − | 0.962529i | 0.0367940 | − | 0.999323i | \(-0.488285\pi\) |
−0.999323 | + | 0.0367940i | \(0.988285\pi\) | |||||||
\(224\) | −14.2054 | − | 0.962937i | −0.949139 | − | 0.0643389i | ||||
\(225\) | − | 4.86589i | − | 0.324393i | ||||||
\(226\) | −2.15592 | − | 0.577678i | −0.143410 | − | 0.0384265i | ||||
\(227\) | −2.36952 | + | 0.634911i | −0.157271 | + | 0.0421405i | −0.336595 | − | 0.941649i | \(-0.609275\pi\) |
0.179325 | + | 0.983790i | \(0.442609\pi\) | |||||||
\(228\) | −4.07340 | + | 1.09147i | −0.269768 | + | 0.0722841i | ||||
\(229\) | 0.851590 | + | 0.228183i | 0.0562747 | + | 0.0150787i | 0.286847 | − | 0.957977i | \(-0.407393\pi\) |
−0.230572 | + | 0.973055i | \(0.574060\pi\) | |||||||
\(230\) | − | 20.4663i | − | 1.34951i | ||||||
\(231\) | −5.75017 | + | 8.56427i | −0.378333 | + | 0.563487i | ||||
\(232\) | −4.67829 | − | 4.67829i | −0.307145 | − | 0.307145i | ||||
\(233\) | −25.0856 | + | 14.4832i | −1.64341 | + | 0.948823i | −0.663802 | + | 0.747909i | \(0.731058\pi\) |
−0.979609 | + | 0.200915i | \(0.935609\pi\) | |||||||
\(234\) | −2.38806 | + | 2.39319i | −0.156112 | + | 0.156448i | ||||
\(235\) | 3.13403 | − | 5.42831i | 0.204442 | − | 0.354104i | ||||
\(236\) | 3.96431 | − | 14.7950i | 0.258055 | − | 0.963073i | ||||
\(237\) | 5.39010i | 0.350125i | ||||||||
\(238\) | 5.39190 | + | 10.9955i | 0.349505 | + | 0.712734i | ||||
\(239\) | 16.4300 | − | 16.4300i | 1.06277 | − | 1.06277i | 0.0648719 | − | 0.997894i | \(-0.479336\pi\) |
0.997894 | − | 0.0648719i | \(-0.0206639\pi\) | |||||||
\(240\) | −1.52423 | − | 0.408417i | −0.0983889 | − | 0.0263632i | ||||
\(241\) | 3.65884 | + | 13.6550i | 0.235686 | + | 0.879593i | 0.977838 | + | 0.209362i | \(0.0671386\pi\) |
−0.742152 | + | 0.670232i | \(0.766195\pi\) | |||||||
\(242\) | 3.80550 | − | 1.01968i | 0.244627 | − | 0.0655475i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | −11.0107 | −0.704886 | ||||||||
\(245\) | 17.5031 | − | 13.3068i | 1.11823 | − | 0.850140i | ||||
\(246\) | 5.46692i | 0.348558i | ||||||||
\(247\) | −13.1006 | + | 3.52538i | −0.833574 | + | 0.224315i | ||||
\(248\) | −17.0657 | − | 9.85287i | −1.08367 | − | 0.625658i | ||||
\(249\) | −2.25808 | − | 8.42725i | −0.143100 | − | 0.534056i | ||||
\(250\) | −0.342075 | + | 0.197497i | −0.0216347 | + | 0.0124908i | ||||
\(251\) | 9.30024 | 0.587026 | 0.293513 | − | 0.955955i | \(-0.405176\pi\) | ||||
0.293513 | + | 0.955955i | \(0.405176\pi\) | |||||||
\(252\) | 2.80574 | + | 0.959415i | 0.176745 | + | 0.0604375i | ||||
\(253\) | 19.1578 | − | 19.1578i | 1.20444 | − | 1.20444i | ||||
\(254\) | 3.46007 | − | 12.9132i | 0.217104 | − | 0.810245i | ||||
\(255\) | −4.01300 | − | 14.9767i | −0.251304 | − | 0.937879i | ||||
\(256\) | 8.43686 | − | 14.6131i | 0.527304 | − | 0.913317i | ||||
\(257\) | 1.32824 | + | 2.30057i | 0.0828531 | + | 0.143506i | 0.904474 | − | 0.426528i | \(-0.140263\pi\) |
−0.821621 | + | 0.570034i | \(0.806930\pi\) | |||||||
\(258\) | 2.54830 | − | 2.54830i | 0.158650 | − | 0.158650i | ||||
\(259\) | 14.4179 | + | 9.68035i | 0.895882 | + | 0.601508i | ||||
\(260\) | 12.2636 | + | 3.27193i | 0.760559 | + | 0.202917i | ||||
\(261\) | 1.13047 | + | 1.95803i | 0.0699741 | + | 0.121199i | ||||
\(262\) | −4.73240 | + | 1.26804i | −0.292369 | + | 0.0783400i | ||||
\(263\) | 8.37863 | − | 14.5122i | 0.516648 | − | 0.894861i | −0.483165 | − | 0.875530i | \(-0.660513\pi\) |
0.999813 | − | 0.0193319i | \(-0.00615392\pi\) | |||||||
\(264\) | −5.70465 | − | 9.88074i | −0.351097 | − | 0.608117i | ||||
\(265\) | 1.53501 | + | 1.53501i | 0.0942951 | + | 0.0942951i | ||||
\(266\) | −6.13918 | − | 7.03201i | −0.376417 | − | 0.431160i | ||||
\(267\) | 5.52184 | + | 5.52184i | 0.337931 | + | 0.337931i | ||||
\(268\) | 2.45253 | − | 9.15296i | 0.149812 | − | 0.559106i | ||||
\(269\) | −10.4636 | − | 6.04116i | −0.637977 | − | 0.368336i | 0.145858 | − | 0.989306i | \(-0.453406\pi\) |
−0.783835 | + | 0.620970i | \(0.786739\pi\) | |||||||
\(270\) | 2.55066 | + | 1.47263i | 0.155228 | + | 0.0896212i | ||||
\(271\) | 20.0601 | + | 5.37508i | 1.21856 | + | 0.326513i | 0.810116 | − | 0.586270i | \(-0.199404\pi\) |
0.408446 | + | 0.912783i | \(0.366071\pi\) | |||||||
\(272\) | −2.47996 | −0.150370 | ||||||||
\(273\) | 9.02958 | + | 3.07681i | 0.546495 | + | 0.186217i | ||||
\(274\) | 15.6987 | 0.948392 | ||||||||
\(275\) | 18.3253 | + | 4.91024i | 1.10506 | + | 0.296099i | ||||
\(276\) | −6.74465 | − | 3.89403i | −0.405980 | − | 0.234393i | ||||
\(277\) | 22.8163 | + | 13.1730i | 1.37090 | + | 0.791489i | 0.991041 | − | 0.133557i | \(-0.0426398\pi\) |
0.379857 | + | 0.925045i | \(0.375973\pi\) | |||||||
\(278\) | −0.0818598 | + | 0.305505i | −0.00490962 | + | 0.0183230i | ||||
\(279\) | 4.76171 | + | 4.76171i | 0.285076 | + | 0.285076i | ||||
\(280\) | 4.69097 | + | 23.8615i | 0.280339 | + | 1.42600i | ||||
\(281\) | 6.43788 | + | 6.43788i | 0.384052 | + | 0.384052i | 0.872560 | − | 0.488508i | \(-0.162459\pi\) |
−0.488508 | + | 0.872560i | \(0.662459\pi\) | |||||||
\(282\) | 0.935599 | + | 1.62051i | 0.0557141 | + | 0.0964997i | ||||
\(283\) | 8.84685 | − | 15.3232i | 0.525891 | − | 0.910870i | −0.473654 | − | 0.880711i | \(-0.657065\pi\) |
0.999545 | − | 0.0301589i | \(-0.00960132\pi\) | |||||||
\(284\) | 2.69605 | − | 0.722404i | 0.159981 | − | 0.0428668i | ||||
\(285\) | 5.90936 | + | 10.2353i | 0.350040 | + | 0.606287i | ||||
\(286\) | −6.60309 | − | 11.4086i | −0.390449 | − | 0.674604i | ||||
\(287\) | 13.8499 | − | 6.79159i | 0.817531 | − | 0.400895i | ||||
\(288\) | −3.80527 | + | 3.80527i | −0.224228 | + | 0.224228i | ||||
\(289\) | −3.68372 | − | 6.38039i | −0.216689 | − | 0.375317i | ||||
\(290\) | −3.32951 | + | 5.76688i | −0.195516 | + | 0.338643i | ||||
\(291\) | −2.22419 | − | 8.30080i | −0.130384 | − | 0.486601i | ||||
\(292\) | 4.32463 | − | 16.1398i | 0.253080 | − | 0.944508i | ||||
\(293\) | −0.758303 | + | 0.758303i | −0.0443006 | + | 0.0443006i | −0.728910 | − | 0.684609i | \(-0.759973\pi\) |
0.684609 | + | 0.728910i | \(0.259973\pi\) | |||||||
\(294\) | 0.827668 | + | 6.51136i | 0.0482706 | + | 0.379750i | ||||
\(295\) | −42.9267 | −2.49929 | ||||||||
\(296\) | −16.6341 | + | 9.60372i | −0.966839 | + | 0.558205i | ||||
\(297\) | 1.00911 | + | 3.76607i | 0.0585548 | + | 0.218529i | ||||
\(298\) | 6.28683 | + | 3.62970i | 0.364186 | + | 0.210263i | ||||
\(299\) | −21.7114 | − | 12.5040i | −1.25560 | − | 0.723128i | ||||
\(300\) | − | 5.45348i | − | 0.314857i | ||||||
\(301\) | −9.62159 | − | 3.29007i | −0.554579 | − | 0.189637i | ||||
\(302\) | −15.5545 | −0.895061 | ||||||||
\(303\) | 9.94373 | − | 5.74102i | 0.571252 | − | 0.329813i | ||||
\(304\) | 1.82594 | − | 0.489258i | 0.104725 | − | 0.0280609i | ||||
\(305\) | 7.98669 | + | 29.8067i | 0.457317 | + | 1.70673i | ||||
\(306\) | 4.47098 | + | 1.19800i | 0.255589 | + | 0.0684849i | ||||
\(307\) | 21.0609 | − | 21.0609i | 1.20201 | − | 1.20201i | 0.228454 | − | 0.973555i | \(-0.426633\pi\) |
0.973555 | − | 0.228454i | \(-0.0733669\pi\) | |||||||
\(308\) | −6.44454 | + | 9.59846i | −0.367212 | + | 0.546923i | ||||
\(309\) | − | 7.64498i | − | 0.434908i | ||||||
\(310\) | −5.13330 | + | 19.1578i | −0.291552 | + | 1.08809i | ||||
\(311\) | 11.7425 | − | 20.3387i | 0.665858 | − | 1.15330i | −0.313194 | − | 0.949689i | \(-0.601399\pi\) |
0.979052 | − | 0.203611i | \(-0.0652677\pi\) | |||||||
\(312\) | −7.45254 | + | 7.46856i | −0.421917 | + | 0.422824i | ||||
\(313\) | −3.03233 | + | 1.75072i | −0.171397 | + | 0.0989564i | −0.583245 | − | 0.812297i | \(-0.698217\pi\) |
0.411847 | + | 0.911253i | \(0.364884\pi\) | |||||||
\(314\) | 16.0429 | + | 16.0429i | 0.905355 | + | 0.905355i | ||||
\(315\) | 0.562038 | − | 8.29128i | 0.0316673 | − | 0.467161i | ||||
\(316\) | 6.04100i | 0.339833i | ||||||||
\(317\) | 8.70701 | + | 2.33304i | 0.489034 | + | 0.131036i | 0.494906 | − | 0.868946i | \(-0.335202\pi\) |
−0.00587185 | + | 0.999983i | \(0.501869\pi\) | |||||||
\(318\) | −0.625975 | + | 0.167729i | −0.0351029 | + | 0.00940580i | ||||
\(319\) | −8.51483 | + | 2.28154i | −0.476739 | + | 0.127742i | ||||
\(320\) | −18.3582 | − | 4.91905i | −1.02625 | − | 0.274983i | ||||
\(321\) | 2.31749i | 0.129350i | ||||||||
\(322\) | 1.16592 | − | 17.1999i | 0.0649743 | − | 0.958511i | ||||
\(323\) | 13.1338 | + | 13.1338i | 0.730787 | + | 0.730787i | ||||
\(324\) | 0.970604 | − | 0.560379i | 0.0539225 | − | 0.0311321i | ||||
\(325\) | −0.0188315 | − | 17.5442i | −0.00104459 | − | 0.973177i | ||||
\(326\) | 8.31492 | − | 14.4019i | 0.460521 | − | 0.797645i | ||||
\(327\) | −0.658672 | + | 2.45820i | −0.0364247 | + | 0.135939i | ||||
\(328\) | 17.0609i | 0.942033i | ||||||||
\(329\) | 2.94308 | − | 4.38340i | 0.162257 | − | 0.241665i | ||||
\(330\) | −8.11992 | + | 8.11992i | −0.446987 | + | 0.446987i | ||||
\(331\) | −25.9305 | − | 6.94807i | −1.42527 | − | 0.381900i | −0.537921 | − | 0.842995i | \(-0.680790\pi\) |
−0.887351 | + | 0.461095i | \(0.847457\pi\) | |||||||
\(332\) | −2.53075 | − | 9.44491i | −0.138893 | − | 0.518357i | ||||
\(333\) | 6.34014 | − | 1.69884i | 0.347437 | − | 0.0930956i | ||||
\(334\) | 5.64627 | − | 3.25988i | 0.308950 | − | 0.178372i | ||||
\(335\) | −26.5567 | −1.45095 | ||||||||
\(336\) | −1.25770 | − | 0.430066i | −0.0686131 | − | 0.0234620i | ||||
\(337\) | − | 26.8916i | − | 1.46488i | −0.680833 | − | 0.732439i | \(-0.738382\pi\) | ||
0.680833 | − | 0.732439i | \(-0.261618\pi\) | |||||||
\(338\) | −8.60099 | + | 8.63800i | −0.467832 | + | 0.469845i | ||||
\(339\) | 2.06142 | + | 1.19016i | 0.111961 | + | 0.0646405i | ||||
\(340\) | −4.49760 | − | 16.7853i | −0.243917 | − | 0.910309i | ||||
\(341\) | −22.7381 | + | 13.1278i | −1.23133 | + | 0.710911i | ||||
\(342\) | −3.52823 | −0.190785 | ||||||||
\(343\) | 15.4676 | − | 10.1859i | 0.835173 | − | 0.549987i | ||||
\(344\) | 7.95261 | − | 7.95261i | 0.428776 | − | 0.428776i | ||||
\(345\) | −5.64913 | + | 21.0828i | −0.304139 | + | 1.13506i | ||||
\(346\) | −2.19115 | − | 8.17748i | −0.117797 | − | 0.439624i | ||||
\(347\) | −2.05674 | + | 3.56238i | −0.110412 | + | 0.191239i | −0.915936 | − | 0.401324i | \(-0.868550\pi\) |
0.805525 | + | 0.592562i | \(0.201884\pi\) | |||||||
\(348\) | 1.26698 | + | 2.19447i | 0.0679172 | + | 0.117636i | ||||
\(349\) | −13.5784 | + | 13.5784i | −0.726836 | + | 0.726836i | −0.969988 | − | 0.243152i | \(-0.921819\pi\) |
0.243152 | + | 0.969988i | \(0.421819\pi\) | |||||||
\(350\) | 10.8386 | − | 5.31495i | 0.579348 | − | 0.284096i | ||||
\(351\) | 3.12056 | − | 1.80613i | 0.166563 | − | 0.0964039i | ||||
\(352\) | −10.4909 | − | 18.1708i | −0.559169 | − | 0.968509i | ||||
\(353\) | −2.08045 | + | 0.557454i | −0.110731 | + | 0.0296703i | −0.313759 | − | 0.949503i | \(-0.601588\pi\) |
0.203028 | + | 0.979173i | \(0.434922\pi\) | |||||||
\(354\) | 6.40743 | − | 11.0980i | 0.340551 | − | 0.589852i | ||||
\(355\) | −3.91120 | − | 6.77440i | −0.207585 | − | 0.359548i | ||||
\(356\) | 6.18865 | + | 6.18865i | 0.327998 | + | 0.327998i | ||||
\(357\) | −2.51933 | − | 12.8150i | −0.133337 | − | 0.678243i | ||||
\(358\) | −7.18563 | − | 7.18563i | −0.379773 | − | 0.379773i | ||||
\(359\) | −7.43895 | + | 27.7626i | −0.392613 | + | 1.46525i | 0.433195 | + | 0.901300i | \(0.357386\pi\) |
−0.825808 | + | 0.563951i | \(0.809281\pi\) | |||||||
\(360\) | 7.96000 | + | 4.59571i | 0.419529 | + | 0.242215i | ||||
\(361\) | 4.19323 | + | 2.42096i | 0.220696 | + | 0.127419i | ||||
\(362\) | −13.7729 | − | 3.69044i | −0.723888 | − | 0.193965i | ||||
\(363\) | −4.20158 | −0.220526 | ||||||||
\(364\) | 10.1200 | + | 3.44836i | 0.530430 | + | 0.180743i | ||||
\(365\) | −46.8284 | −2.45111 | ||||||||
\(366\) | −8.89817 | − | 2.38426i | −0.465115 | − | 0.124627i | ||||
\(367\) | −1.58966 | − | 0.917792i | −0.0829797 | − | 0.0479084i | 0.457936 | − | 0.888985i | \(-0.348589\pi\) |
−0.540916 | + | 0.841077i | \(0.681922\pi\) | |||||||
\(368\) | 3.02335 | + | 1.74553i | 0.157603 | + | 0.0909920i | ||||
\(369\) | 1.50898 | − | 5.63161i | 0.0785546 | − | 0.293170i | ||||
\(370\) | 13.6698 | + | 13.6698i | 0.710660 | + | 0.710660i | ||||
\(371\) | 1.20258 | + | 1.37747i | 0.0624346 | + | 0.0715146i | ||||
\(372\) | 5.33673 | + | 5.33673i | 0.276696 | + | 0.276696i | ||||
\(373\) | 12.5022 | + | 21.6545i | 0.647340 | + | 1.12123i | 0.983756 | + | 0.179512i | \(0.0574519\pi\) |
−0.336416 | + | 0.941714i | \(0.609215\pi\) | |||||||
\(374\) | −9.02347 | + | 15.6291i | −0.466593 | + | 0.808162i | ||||
\(375\) | 0.406893 | − | 0.109027i | 0.0210118 | − | 0.00563011i | ||||
\(376\) | 2.91978 | + | 5.05721i | 0.150576 | + | 0.260805i | ||||
\(377\) | 4.08353 | + | 7.05538i | 0.210313 | + | 0.363371i | ||||
\(378\) | 2.05968 | + | 1.38290i | 0.105939 | + | 0.0711286i | ||||
\(379\) | −15.7347 | + | 15.7347i | −0.808235 | + | 0.808235i | −0.984367 | − | 0.176132i | \(-0.943641\pi\) |
0.176132 | + | 0.984367i | \(0.443641\pi\) | |||||||
\(380\) | 6.62295 | + | 11.4713i | 0.339750 | + | 0.588465i | ||||
\(381\) | −7.12861 | + | 12.3471i | −0.365210 | + | 0.632562i | ||||
\(382\) | 0.515969 | + | 1.92562i | 0.0263993 | + | 0.0985235i | ||||
\(383\) | 1.33436 | − | 4.97990i | 0.0681826 | − | 0.254461i | −0.923419 | − | 0.383794i | \(-0.874617\pi\) |
0.991601 | + | 0.129334i | \(0.0412838\pi\) | |||||||
\(384\) | −3.59857 | + | 3.59857i | −0.183639 | + | 0.183639i | ||||
\(385\) | 30.6584 | + | 10.4835i | 1.56250 | + | 0.534290i | ||||
\(386\) | −10.0863 | −0.513377 | ||||||||
\(387\) | −3.32844 | + | 1.92168i | −0.169194 | + | 0.0976844i | ||||
\(388\) | −2.49278 | − | 9.30318i | −0.126552 | − | 0.472297i | ||||
\(389\) | 15.4083 | + | 8.89599i | 0.781232 | + | 0.451045i | 0.836867 | − | 0.547407i | \(-0.184385\pi\) |
−0.0556346 | + | 0.998451i | \(0.517718\pi\) | |||||||
\(390\) | 9.20224 | + | 5.29975i | 0.465974 | + | 0.268364i | ||||
\(391\) | 34.3022i | 1.73474i | ||||||||
\(392\) | 2.58295 | + | 20.3204i | 0.130459 | + | 1.02633i | ||||
\(393\) | 5.22497 | 0.263565 | ||||||||
\(394\) | 15.7359 | − | 9.08512i | 0.792763 | − | 0.457702i | ||||
\(395\) | 16.3534 | − | 4.38189i | 0.822831 | − | 0.220477i | ||||
\(396\) | 1.13097 | + | 4.22085i | 0.0568335 | + | 0.212106i | ||||
\(397\) | −7.57049 | − | 2.02851i | −0.379952 | − | 0.101808i | 0.0637880 | − | 0.997963i | \(-0.479682\pi\) |
−0.443740 | + | 0.896156i | \(0.646349\pi\) | |||||||
\(398\) | −1.42051 | + | 1.42051i | −0.0712038 | + | 0.0712038i | ||||
\(399\) | 4.38313 | + | 8.93838i | 0.219431 | + | 0.447479i | ||||
\(400\) | 2.44457i | 0.122228i | ||||||||
\(401\) | −0.620056 | + | 2.31408i | −0.0309641 | + | 0.115560i | −0.979678 | − | 0.200576i | \(-0.935719\pi\) |
0.948714 | + | 0.316135i | \(0.102385\pi\) | |||||||
\(402\) | 3.96397 | − | 6.86580i | 0.197705 | − | 0.342435i | ||||
\(403\) | 17.1870 | + | 17.1502i | 0.856147 | + | 0.854311i | ||||
\(404\) | 11.1445 | − | 6.43428i | 0.554460 | − | 0.320118i | ||||
\(405\) | −2.22102 | − | 2.22102i | −0.110364 | − | 0.110364i | ||||
\(406\) | −3.12664 | + | 4.65680i | −0.155173 | + | 0.231113i | ||||
\(407\) | 25.5917i | 1.26853i | ||||||||
\(408\) | 13.9529 | + | 3.73866i | 0.690769 | + | 0.185091i | ||||
\(409\) | −18.2165 | + | 4.88109i | −0.900747 | + | 0.241354i | −0.679337 | − | 0.733826i | \(-0.737733\pi\) |
−0.221410 | + | 0.975181i | \(0.571066\pi\) | |||||||
\(410\) | 16.5865 | − | 4.44434i | 0.819149 | − | 0.219490i | ||||
\(411\) | −16.1716 | − | 4.33316i | −0.797685 | − | 0.213739i | ||||
\(412\) | − | 8.56817i | − | 0.422124i | ||||||
\(413\) | −36.0756 | − | 2.44544i | −1.77516 | − | 0.120332i | ||||
\(414\) | −4.60741 | − | 4.60741i | −0.226442 | − | 0.226442i | ||||
\(415\) | −23.7324 | + | 13.7019i | −1.16498 | + | 0.672599i | ||||
\(416\) | −13.7054 | + | 13.7348i | −0.671960 | + | 0.673404i | ||||
\(417\) | 0.168651 | − | 0.292113i | 0.00825890 | − | 0.0143048i | ||||
\(418\) | 3.56039 | − | 13.2875i | 0.174144 | − | 0.649915i | ||||
\(419\) | 9.77138i | 0.477363i | 0.971098 | + | 0.238682i | \(0.0767152\pi\) | ||||
−0.971098 | + | 0.238682i | \(0.923285\pi\) | |||||||
\(420\) | 0.629908 | − | 9.29251i | 0.0307364 | − | 0.453428i | ||||
\(421\) | 8.04069 | − | 8.04069i | 0.391879 | − | 0.391879i | −0.483477 | − | 0.875357i | \(-0.660626\pi\) |
0.875357 | + | 0.483477i | \(0.160626\pi\) | |||||||
\(422\) | 2.40296 | + | 0.643872i | 0.116974 | + | 0.0313432i | ||||
\(423\) | −0.516490 | − | 1.92757i | −0.0251126 | − | 0.0937215i | ||||
\(424\) | −1.95352 | + | 0.523443i | −0.0948711 | + | 0.0254206i | ||||
\(425\) | −20.8016 | + | 12.0098i | −1.00903 | + | 0.582563i | ||||
\(426\) | 2.33521 | 0.113141 | ||||||||
\(427\) | 5.01398 | + | 25.5045i | 0.242644 | + | 1.23425i | ||||
\(428\) | 2.59734i | 0.125547i | ||||||||
\(429\) | 3.65299 | + | 13.5748i | 0.176368 | + | 0.655399i | ||||
\(430\) | −9.80311 | − | 5.65983i | −0.472748 | − | 0.272941i | ||||
\(431\) | 6.11141 | + | 22.8081i | 0.294376 | + | 1.09863i | 0.941711 | + | 0.336422i | \(0.109217\pi\) |
−0.647335 | + | 0.762206i | \(0.724116\pi\) | |||||||
\(432\) | −0.435081 | + | 0.251194i | −0.0209329 | + | 0.0120856i | ||||
\(433\) | 21.2181 | 1.01968 | 0.509840 | − | 0.860270i | \(-0.329705\pi\) | ||||
0.509840 | + | 0.860270i | \(0.329705\pi\) | |||||||
\(434\) | −5.40540 | + | 15.8077i | −0.259467 | + | 0.758795i | ||||
\(435\) | 5.02159 | − | 5.02159i | 0.240767 | − | 0.240767i | ||||
\(436\) | −0.738212 | + | 2.75504i | −0.0353539 | + | 0.131943i | ||||
\(437\) | −6.76730 | − | 25.2559i | −0.323724 | − | 1.20815i | ||||
\(438\) | 6.98982 | − | 12.1067i | 0.333987 | − | 0.578482i | ||||
\(439\) | −3.66625 | − | 6.35014i | −0.174981 | − | 0.303076i | 0.765174 | − | 0.643824i | \(-0.222653\pi\) |
−0.940155 | + | 0.340748i | \(0.889320\pi\) | |||||||
\(440\) | −25.3403 | + | 25.3403i | −1.20805 | + | 1.20805i | ||||
\(441\) | 0.944672 | − | 6.93596i | 0.0449844 | − | 0.330284i | ||||
\(442\) | 16.1250 | + | 4.30213i | 0.766987 | + | 0.204632i | ||||
\(443\) | 4.98843 | + | 8.64021i | 0.237007 | + | 0.410509i | 0.959854 | − | 0.280499i | \(-0.0905001\pi\) |
−0.722847 | + | 0.691008i | \(0.757167\pi\) | |||||||
\(444\) | 7.10576 | − | 1.90398i | 0.337224 | − | 0.0903590i | ||||
\(445\) | 12.2641 | − | 21.2421i | 0.581376 | − | 1.00697i | ||||
\(446\) | −9.53028 | − | 16.5069i | −0.451272 | − | 0.781626i | ||||
\(447\) | −5.47434 | − | 5.47434i | −0.258927 | − | 0.258927i | ||||
\(448\) | −15.1479 | − | 5.17979i | −0.715673 | − | 0.244722i | ||||
\(449\) | −26.5870 | − | 26.5870i | −1.25472 | − | 1.25472i | −0.953580 | − | 0.301141i | \(-0.902633\pi\) |
−0.301141 | − | 0.953580i | \(-0.597367\pi\) | |||||||
\(450\) | 1.18090 | − | 4.40717i | 0.0556681 | − | 0.207756i | ||||
\(451\) | 19.6863 | + | 11.3659i | 0.926991 | + | 0.535198i | ||||
\(452\) | 2.31035 | + | 1.33388i | 0.108670 | + | 0.0627404i | ||||
\(453\) | 16.0231 | + | 4.29336i | 0.752829 | + | 0.201720i | ||||
\(454\) | −2.30023 | −0.107955 | ||||||||
\(455\) | 1.99437 | − | 29.8968i | 0.0934974 | − | 1.40158i | ||||
\(456\) | −11.0107 | −0.515625 | ||||||||
\(457\) | −27.4622 | − | 7.35848i | −1.28463 | − | 0.344215i | −0.449011 | − | 0.893526i | \(-0.648223\pi\) |
−0.835618 | + | 0.549311i | \(0.814890\pi\) | |||||||
\(458\) | 0.715932 | + | 0.413344i | 0.0334533 | + | 0.0193143i | ||||
\(459\) | −4.27499 | − | 2.46817i | −0.199540 | − | 0.115204i | ||||
\(460\) | −6.33130 | + | 23.6287i | −0.295199 | + | 1.10170i | ||||
\(461\) | −11.0079 | − | 11.0079i | −0.512689 | − | 0.512689i | 0.402660 | − | 0.915349i | \(-0.368086\pi\) |
−0.915349 | + | 0.402660i | \(0.868086\pi\) | |||||||
\(462\) | −7.28655 | + | 6.36140i | −0.339001 | + | 0.295959i | ||||
\(463\) | 23.1538 | + | 23.1538i | 1.07605 | + | 1.07605i | 0.996860 | + | 0.0791865i | \(0.0252323\pi\) |
0.0791865 | + | 0.996860i | \(0.474768\pi\) | |||||||
\(464\) | −0.567934 | − | 0.983690i | −0.0263657 | − | 0.0456667i | ||||
\(465\) | 10.5759 | − | 18.3180i | 0.490445 | − | 0.849475i | ||||
\(466\) | −26.2356 | + | 7.02982i | −1.21534 | + | 0.325650i | ||||
\(467\) | 9.27111 | + | 16.0580i | 0.429016 | + | 0.743077i | 0.996786 | − | 0.0801101i | \(-0.0255272\pi\) |
−0.567770 | + | 0.823187i | \(0.692194\pi\) | |||||||
\(468\) | 3.49739 | − | 2.02423i | 0.161667 | − | 0.0935700i | ||||
\(469\) | −22.3182 | − | 1.51288i | −1.03056 | − | 0.0698582i | ||||
\(470\) | 4.15598 | − | 4.15598i | 0.191701 | − | 0.191701i | ||||
\(471\) | −12.0980 | − | 20.9544i | −0.557447 | − | 0.965527i | ||||
\(472\) | 19.9960 | − | 34.6342i | 0.920393 | − | 1.59417i | ||||
\(473\) | −3.87839 | − | 14.4743i | −0.178328 | − | 0.665531i | ||||
\(474\) | −1.30812 | + | 4.88197i | −0.0600840 | + | 0.224236i | ||||
\(475\) | 12.9464 | − | 12.9464i | 0.594022 | − | 0.594022i | ||||
\(476\) | −2.82356 | − | 14.3625i | −0.129418 | − | 0.658306i | ||||
\(477\) | 0.691128 | 0.0316446 | ||||||||
\(478\) | 18.8685 | − | 10.8937i | 0.863023 | − | 0.498267i | ||||
\(479\) | −5.92540 | − | 22.1139i | −0.270739 | − | 1.01041i | −0.958644 | − | 0.284609i | \(-0.908136\pi\) |
0.687905 | − | 0.725801i | \(-0.258531\pi\) | |||||||
\(480\) | 14.6386 | + | 8.45159i | 0.668157 | + | 0.385760i | ||||
\(481\) | 22.8531 | − | 6.14977i | 1.04201 | − | 0.280405i | ||||
\(482\) | 13.2556i | 0.603778i | ||||||||
\(483\) | −5.94857 | + | 17.3962i | −0.270669 | + | 0.791553i | ||||
\(484\) | −4.70896 | −0.214043 | ||||||||
\(485\) | −23.3762 | + | 13.4963i | −1.06146 | + | 0.612835i | ||||
\(486\) | 0.905729 | − | 0.242689i | 0.0410847 | − | 0.0110086i | ||||
\(487\) | 1.01733 | + | 3.79673i | 0.0460996 | + | 0.172046i | 0.985138 | − | 0.171768i | \(-0.0549478\pi\) |
−0.939038 | + | 0.343814i | \(0.888281\pi\) | |||||||
\(488\) | −27.7690 | − | 7.44069i | −1.25704 | − | 0.336824i | ||||
\(489\) | −12.5406 | + | 12.5406i | −0.567106 | + | 0.567106i | ||||
\(490\) | 19.0825 | − | 7.80454i | 0.862058 | − | 0.352573i | ||||
\(491\) | 22.7591i | 1.02710i | 0.858058 | + | 0.513552i | \(0.171671\pi\) | ||||
−0.858058 | + | 0.513552i | \(0.828329\pi\) | |||||||
\(492\) | 1.69121 | − | 6.31166i | 0.0762454 | − | 0.284552i | ||||
\(493\) | 5.58037 | − | 9.66548i | 0.251327 | − | 0.435311i | ||||
\(494\) | −12.7212 | + | 0.0136546i | −0.572354 | + | 0.000614351i | ||||
\(495\) | 10.6058 | − | 6.12326i | 0.476695 | − | 0.275220i | ||||
\(496\) | −2.39223 | − | 2.39223i | −0.107414 | − | 0.107414i | ||||
\(497\) | −2.90105 | − | 5.91601i | −0.130130 | − | 0.265369i | ||||
\(498\) | − | 8.18082i | − | 0.366591i | ||||||
\(499\) | −14.7553 | − | 3.95367i | −0.660538 | − | 0.176991i | −0.0870494 | − | 0.996204i | \(-0.527744\pi\) |
−0.573489 | + | 0.819213i | \(0.694410\pi\) | |||||||
\(500\) | 0.456028 | − | 0.122192i | 0.0203942 | − | 0.00546461i | ||||
\(501\) | −6.71615 | + | 1.79959i | −0.300055 | + | 0.0803996i | ||||
\(502\) | 8.42349 | + | 2.25707i | 0.375959 | + | 0.100738i | ||||
\(503\) | − | 19.8553i | − | 0.885303i | −0.896694 | − | 0.442652i | \(-0.854038\pi\) | ||
0.896694 | − | 0.442652i | \(-0.145962\pi\) | |||||||
\(504\) | 6.42777 | + | 4.31569i | 0.286316 | + | 0.192236i | ||||
\(505\) | −25.5019 | − | 25.5019i | −1.13482 | − | 1.13482i | ||||
\(506\) | 22.0012 | − | 12.7024i | 0.978074 | − | 0.564691i | ||||
\(507\) | 11.2444 | − | 6.52415i | 0.499379 | − | 0.289748i | ||||
\(508\) | −7.98944 | + | 13.8381i | −0.354474 | + | 0.613967i | ||||
\(509\) | −7.16987 | + | 26.7583i | −0.317799 | + | 1.18604i | 0.603556 | + | 0.797321i | \(0.293750\pi\) |
−0.921355 | + | 0.388722i | \(0.872917\pi\) | |||||||
\(510\) | − | 14.5388i | − | 0.643787i | ||||||
\(511\) | −39.3546 | − | 2.66771i | −1.74094 | − | 0.118013i | ||||
\(512\) | 3.99079 | − | 3.99079i | 0.176370 | − | 0.176370i | ||||
\(513\) | 3.63451 | + | 0.973864i | 0.160468 | + | 0.0429972i | ||||
\(514\) | 0.644697 | + | 2.40604i | 0.0284364 | + | 0.106126i | ||||
\(515\) | −23.1947 | + | 6.21500i | −1.02208 | + | 0.273865i | ||||
\(516\) | −3.73038 | + | 2.15373i | −0.164221 | + | 0.0948129i | ||||
\(517\) | 7.78054 | 0.342188 | ||||||||
\(518\) | 10.7094 | + | 12.2668i | 0.470542 | + | 0.538974i | ||||
\(519\) | 9.02862i | 0.396312i | ||||||||
\(520\) | 28.7180 | + | 16.5392i | 1.25937 | + | 0.725294i | ||||
\(521\) | −8.01735 | − | 4.62882i | −0.351246 | − | 0.202792i | 0.313988 | − | 0.949427i | \(-0.398335\pi\) |
−0.665234 | + | 0.746635i | \(0.731668\pi\) | |||||||
\(522\) | 0.548704 | + | 2.04779i | 0.0240161 | + | 0.0896295i | ||||
\(523\) | −7.10970 | + | 4.10478i | −0.310885 | + | 0.179490i | −0.647323 | − | 0.762216i | \(-0.724111\pi\) |
0.336437 | + | 0.941706i | \(0.390778\pi\) | |||||||
\(524\) | 5.85592 | 0.255817 | ||||||||
\(525\) | −12.6321 | + | 2.48337i | −0.551312 | + | 0.108383i | ||||
\(526\) | 11.1107 | − | 11.1107i | 0.484451 | − | 0.484451i | ||||
\(527\) | 8.60358 | − | 32.1090i | 0.374778 | − | 1.39869i | ||||
\(528\) | −0.506968 | − | 1.89203i | −0.0220630 | − | 0.0823401i | ||||
\(529\) | 12.6437 | − | 21.8996i | 0.549728 | − | 0.952157i | ||||
\(530\) | 1.01777 | + | 1.76284i | 0.0442093 | + | 0.0765727i | ||||
\(531\) | −9.66373 | + | 9.66373i | −0.419370 | + | 0.419370i | ||||
\(532\) | 4.91243 | + | 10.0178i | 0.212981 | + | 0.434325i | ||||
\(533\) | 5.41892 | − | 20.3109i | 0.234720 | − | 0.879762i | ||||
\(534\) | 3.66120 | + | 6.34138i | 0.158436 | + | 0.274419i | ||||
\(535\) | 7.03120 | − | 1.88400i | 0.303985 | − | 0.0814526i | ||||
\(536\) | 12.3706 | − | 21.4265i | 0.534328 | − | 0.925484i | ||||
\(537\) | 5.41871 | + | 9.38548i | 0.233834 | + | 0.405013i | ||||
\(538\) | −8.01105 | − | 8.01105i | −0.345381 | − | 0.345381i | ||||
\(539\) | 25.1680 | + | 10.5569i | 1.08406 | + | 0.454717i | ||||
\(540\) | −2.48923 | − | 2.48923i | −0.107119 | − | 0.107119i | ||||
\(541\) | −2.65942 | + | 9.92508i | −0.114337 | + | 0.426713i | −0.999236 | − | 0.0390700i | \(-0.987560\pi\) |
0.884899 | + | 0.465783i | \(0.154227\pi\) | |||||||
\(542\) | 16.8645 | + | 9.73672i | 0.724392 | + | 0.418228i | ||||
\(543\) | 13.1692 | + | 7.60322i | 0.565143 | + | 0.326285i | ||||
\(544\) | 25.6595 | + | 6.87545i | 1.10014 | + | 0.294783i | ||||
\(545\) | 7.99358 | 0.342407 | ||||||||
\(546\) | 7.43164 | + | 4.97814i | 0.318045 | + | 0.213045i | ||||
\(547\) | 27.1265 | 1.15985 | 0.579923 | − | 0.814671i | \(-0.303083\pi\) | ||||
0.579923 | + | 0.814671i | \(0.303083\pi\) | |||||||
\(548\) | −18.1244 | − | 4.85642i | −0.774237 | − | 0.207456i | ||||
\(549\) | 8.50811 | + | 4.91216i | 0.363117 | + | 0.209646i | ||||
\(550\) | 15.4061 | + | 8.89469i | 0.656917 | + | 0.379271i | ||||
\(551\) | −2.20184 | + | 8.21739i | −0.0938016 | + | 0.350072i | ||||
\(552\) | −14.3786 | − | 14.3786i | −0.611994 | − | 0.611994i | ||||
\(553\) | 13.9930 | − | 2.75092i | 0.595044 | − | 0.116981i | ||||
\(554\) | 17.4684 | + | 17.4684i | 0.742163 | + | 0.742163i | ||||
\(555\) | −10.3084 | − | 17.8547i | −0.437569 | − | 0.757892i | ||||
\(556\) | 0.189017 | − | 0.327388i | 0.00801612 | − | 0.0138843i | ||||
\(557\) | 16.3855 | − | 4.39048i | 0.694276 | − | 0.186031i | 0.105610 | − | 0.994408i | \(-0.466320\pi\) |
0.588665 | + | 0.808377i | \(0.299654\pi\) | |||||||
\(558\) | 3.15720 | + | 5.46844i | 0.133655 | + | 0.231497i | ||||
\(559\) | −11.9934 | + | 6.94158i | −0.507268 | + | 0.293598i | ||||
\(560\) | −0.282362 | + | 4.16545i | −0.0119320 | + | 0.176022i | ||||
\(561\) | 13.6093 | − | 13.6093i | 0.574583 | − | 0.574583i | ||||
\(562\) | 4.26857 | + | 7.39338i | 0.180059 | + | 0.311871i | ||||
\(563\) | −3.25552 | + | 5.63873i | −0.137204 | + | 0.237644i | −0.926437 | − | 0.376449i | \(-0.877145\pi\) |
0.789233 | + | 0.614093i | \(0.210478\pi\) | |||||||
\(564\) | −0.578860 | − | 2.16033i | −0.0243744 | − | 0.0909665i | ||||
\(565\) | 1.93508 | − | 7.22182i | 0.0814095 | − | 0.303824i | ||||
\(566\) | 11.7316 | − | 11.7316i | 0.493117 | − | 0.493117i | ||||
\(567\) | −1.74002 | − | 1.99307i | −0.0730739 | − | 0.0837012i | ||||
\(568\) | 7.28763 | 0.305782 | ||||||||
\(569\) | 24.3122 | − | 14.0366i | 1.01922 | − | 0.588446i | 0.105341 | − | 0.994436i | \(-0.466407\pi\) |
0.913878 | + | 0.405990i | \(0.133073\pi\) | |||||||
\(570\) | 2.86828 | + | 10.7045i | 0.120139 | + | 0.448364i | ||||
\(571\) | −29.6118 | − | 17.0964i | −1.23922 | − | 0.715461i | −0.270282 | − | 0.962781i | \(-0.587117\pi\) |
−0.968934 | + | 0.247320i | \(0.920450\pi\) | |||||||
\(572\) | 4.09411 | + | 15.2141i | 0.171183 | + | 0.636133i | ||||
\(573\) | − | 2.12605i | − | 0.0888170i | ||||||
\(574\) | 14.1925 | − | 2.79012i | 0.592382 | − | 0.116457i | ||||
\(575\) | 33.8127 | 1.41009 | ||||||||
\(576\) | −5.24020 | + | 3.02543i | −0.218342 | + | 0.126060i | ||||
\(577\) | −24.5869 | + | 6.58803i | −1.02356 | + | 0.274263i | −0.731287 | − | 0.682070i | \(-0.761080\pi\) |
−0.292278 | + | 0.956334i | \(0.594413\pi\) | |||||||
\(578\) | −1.78800 | − | 6.67290i | −0.0743709 | − | 0.277556i | ||||
\(579\) | 10.3901 | + | 2.78401i | 0.431797 | + | 0.115700i | ||||
\(580\) | 5.62798 | − | 5.62798i | 0.233689 | − | 0.233689i | ||||
\(581\) | −20.7252 | + | 10.1631i | −0.859827 | + | 0.421635i | ||||
\(582\) | − | 8.05806i | − | 0.334017i | ||||||
\(583\) | −0.697428 | + | 2.60284i | −0.0288845 | + | 0.107798i | ||||
\(584\) | 21.8135 | − | 37.7821i | 0.902650 | − | 1.56344i | ||||
\(585\) | −8.01660 | − | 7.99941i | −0.331446 | − | 0.330735i | ||||
\(586\) | −0.870849 | + | 0.502785i | −0.0359745 | + | 0.0207699i | ||||
\(587\) | 18.0445 | + | 18.0445i | 0.744775 | + | 0.744775i | 0.973493 | − | 0.228718i | \(-0.0734533\pi\) |
−0.228718 | + | 0.973493i | \(0.573453\pi\) | |||||||
\(588\) | 1.05875 | − | 7.77353i | 0.0436620 | − | 0.320575i | ||||
\(589\) | 25.3385i | 1.04405i | ||||||||
\(590\) | −38.8800 | − | 10.4179i | −1.60066 | − | 0.428896i | ||||
\(591\) | −18.7176 | + | 5.01536i | −0.769939 | + | 0.206304i | ||||
\(592\) | −3.18521 | + | 0.853476i | −0.130912 | + | 0.0350776i | ||||
\(593\) | 44.1673 | + | 11.8346i | 1.81373 | + | 0.485988i | 0.995979 | − | 0.0895825i | \(-0.0285533\pi\) |
0.817752 | + | 0.575570i | \(0.195220\pi\) | |||||||
\(594\) | 3.65594i | 0.150005i | ||||||||
\(595\) | −36.8324 | + | 18.0616i | −1.50998 | + | 0.740452i | ||||
\(596\) | −6.13541 | − | 6.13541i | −0.251316 | − | 0.251316i | ||||
\(597\) | 1.85539 | − | 1.07121i | 0.0759362 | − | 0.0438418i | ||||
\(598\) | −16.6301 | − | 16.5944i | −0.680054 | − | 0.678596i | ||||
\(599\) | 0.720416 | − | 1.24780i | 0.0294354 | − | 0.0509836i | −0.850932 | − | 0.525275i | \(-0.823962\pi\) |
0.880368 | + | 0.474292i | \(0.157296\pi\) | |||||||
\(600\) | 3.68530 | − | 13.7537i | 0.150452 | − | 0.561493i | ||||
\(601\) | 11.7843i | 0.480693i | 0.970687 | + | 0.240346i | \(0.0772611\pi\) | ||||
−0.970687 | + | 0.240346i | \(0.922739\pi\) | |||||||
\(602\) | −7.91609 | − | 5.31497i | −0.322636 | − | 0.216622i | ||||
\(603\) | −5.97849 | + | 5.97849i | −0.243463 | + | 0.243463i | ||||
\(604\) | 17.9580 | + | 4.81182i | 0.730699 | + | 0.195790i | ||||
\(605\) | 3.41568 | + | 12.7475i | 0.138867 | + | 0.518259i | ||||
\(606\) | 10.3996 | − | 2.78657i | 0.422455 | − | 0.113197i | ||||
\(607\) | −23.5625 | + | 13.6038i | −0.956373 | + | 0.552162i | −0.895055 | − | 0.445956i | \(-0.852864\pi\) |
−0.0613179 | + | 0.998118i | \(0.519530\pi\) | |||||||
\(608\) | −20.2489 | −0.821203 | ||||||||
\(609\) | 4.50620 | − | 3.93407i | 0.182601 | − | 0.159416i | ||||
\(610\) | 28.9351i | 1.17155i | ||||||||
\(611\) | −1.86969 | − | 6.94794i | −0.0756395 | − | 0.281083i | ||||
\(612\) | −4.79123 | − | 2.76622i | −0.193674 | − | 0.111818i | ||||
\(613\) | −4.22632 | − | 15.7728i | −0.170699 | − | 0.637059i | −0.997244 | − | 0.0741881i | \(-0.976363\pi\) |
0.826545 | − | 0.562871i | \(-0.190303\pi\) | |||||||
\(614\) | 24.1867 | − | 13.9642i | 0.976096 | − | 0.563549i | ||||
\(615\) | −18.3129 | −0.738447 | ||||||||
\(616\) | −22.7395 | + | 19.8524i | −0.916202 | + | 0.799875i | ||||
\(617\) | −3.29857 | + | 3.29857i | −0.132795 | + | 0.132795i | −0.770380 | − | 0.637585i | \(-0.779934\pi\) |
0.637585 | + | 0.770380i | \(0.279934\pi\) | |||||||
\(618\) | 1.85536 | − | 6.92428i | 0.0746334 | − | 0.278536i | ||||
\(619\) | −7.79706 | − | 29.0990i | −0.313390 | − | 1.16959i | −0.925479 | − | 0.378799i | \(-0.876337\pi\) |
0.612089 | − | 0.790789i | \(-0.290330\pi\) | |||||||
\(620\) | 11.8530 | − | 20.5300i | 0.476028 | − | 0.824504i | ||||
\(621\) | 3.47446 | + | 6.01794i | 0.139425 | + | 0.241492i | ||||
\(622\) | 15.5715 | − | 15.5715i | 0.624361 | − | 0.624361i | ||||
\(623\) | 11.5169 | − | 17.1532i | 0.461414 | − | 0.687228i | ||||
\(624\) | −1.56774 | + | 0.907378i | −0.0627597 | + | 0.0363242i | ||||
\(625\) | −12.8263 | − | 22.2158i | −0.513051 | − | 0.888631i | ||||
\(626\) | −3.17135 | + | 0.849761i | −0.126753 | + | 0.0339633i | ||||
\(627\) | −7.33528 | + | 12.7051i | −0.292943 | + | 0.507392i | ||||
\(628\) | −13.5589 | − | 23.4848i | −0.541061 | − | 0.937144i | ||||
\(629\) | −22.9110 | − | 22.9110i | −0.913523 | − | 0.913523i | ||||
\(630\) | 2.52126 | − | 7.37325i | 0.100449 | − | 0.293757i | ||||
\(631\) | −23.2265 | − | 23.2265i | −0.924632 | − | 0.924632i | 0.0727204 | − | 0.997352i | \(-0.476832\pi\) |
−0.997352 | + | 0.0727204i | \(0.976832\pi\) | |||||||
\(632\) | −4.08233 | + | 15.2354i | −0.162386 | + | 0.606034i | ||||
\(633\) | −2.29763 | − | 1.32653i | −0.0913224 | − | 0.0527250i | ||||
\(634\) | 7.31999 | + | 4.22620i | 0.290714 | + | 0.167844i | ||||
\(635\) | 43.2560 | + | 11.5904i | 1.71656 | + | 0.459952i | ||||
\(636\) | 0.774587 | 0.0307144 | ||||||||
\(637\) | 3.37922 | − | 25.0116i | 0.133890 | − | 0.990996i | ||||
\(638\) | −8.26583 | −0.327247 | ||||||||
\(639\) | −2.40556 | − | 0.644568i | −0.0951624 | − | 0.0254987i | ||||
\(640\) | 13.8434 | + | 7.99251i | 0.547210 | + | 0.315932i | ||||
\(641\) | 16.2087 | + | 9.35810i | 0.640206 | + | 0.369623i | 0.784694 | − | 0.619884i | \(-0.212820\pi\) |
−0.144488 | + | 0.989507i | \(0.546154\pi\) | |||||||
\(642\) | −0.562429 | + | 2.09901i | −0.0221973 | + | 0.0828415i | ||||
\(643\) | 16.1086 | + | 16.1086i | 0.635261 | + | 0.635261i | 0.949383 | − | 0.314122i | \(-0.101710\pi\) |
−0.314122 | + | 0.949383i | \(0.601710\pi\) | |||||||
\(644\) | −6.66690 | + | 19.4969i | −0.262713 | + | 0.768285i | ||||
\(645\) | 8.53618 | + | 8.53618i | 0.336112 | + | 0.336112i | ||||
\(646\) | 8.70826 | + | 15.0832i | 0.342622 | + | 0.593439i | ||||
\(647\) | −6.18133 | + | 10.7064i | −0.243013 | + | 0.420911i | −0.961571 | − | 0.274556i | \(-0.911469\pi\) |
0.718558 | + | 0.695467i | \(0.244802\pi\) | |||||||
\(648\) | 2.82656 | − | 0.757374i | 0.111038 | − | 0.0297525i | ||||
\(649\) | −26.6425 | − | 46.1461i | −1.04581 | − | 1.81139i | ||||
\(650\) | 4.24073 | − | 15.8949i | 0.166335 | − | 0.623448i | ||||
\(651\) | 9.93149 | − | 14.7919i | 0.389246 | − | 0.579740i | ||||
\(652\) | −14.0550 | + | 14.0550i | −0.550435 | + | 0.550435i | ||||
\(653\) | 22.5039 | + | 38.9780i | 0.880648 | + | 1.52533i | 0.850622 | + | 0.525777i | \(0.176225\pi\) |
0.0300252 | + | 0.999549i | \(0.490441\pi\) | |||||||
\(654\) | −1.19316 | + | 2.06661i | −0.0466561 | + | 0.0808108i | ||||
\(655\) | −4.24764 | − | 15.8524i | −0.165969 | − | 0.619405i | ||||
\(656\) | −0.758097 | + | 2.82926i | −0.0295987 | + | 0.110464i | ||||
\(657\) | −10.5421 | + | 10.5421i | −0.411286 | + | 0.411286i | ||||
\(658\) | 3.72943 | − | 3.25592i | 0.145388 | − | 0.126929i | ||||
\(659\) | −9.90732 | −0.385934 | −0.192967 | − | 0.981205i | \(-0.561811\pi\) | ||||
−0.192967 | + | 0.981205i | \(0.561811\pi\) | |||||||
\(660\) | 11.8865 | − | 6.86268i | 0.462682 | − | 0.267130i | ||||
\(661\) | 6.39147 | + | 23.8533i | 0.248599 | + | 0.927785i | 0.971540 | + | 0.236875i | \(0.0761232\pi\) |
−0.722941 | + | 0.690910i | \(0.757210\pi\) | |||||||
\(662\) | −21.7998 | − | 12.5861i | −0.847274 | − | 0.489174i | ||||
\(663\) | −15.4233 | − | 8.88256i | −0.598990 | − | 0.344970i | ||||
\(664\) | − | 25.5303i | − | 0.990770i | ||||||
\(665\) | 23.5555 | − | 20.5648i | 0.913445 | − | 0.797468i | ||||
\(666\) | 6.15474 | 0.238491 | ||||||||
\(667\) | −13.6062 | + | 7.85552i | −0.526833 | + | 0.304167i | ||||
\(668\) | −7.52717 | + | 2.01690i | −0.291235 | + | 0.0780362i | ||||
\(669\) | 5.26111 | + | 19.6347i | 0.203406 | + | 0.759123i | ||||
\(670\) | −24.0532 | − | 6.44503i | −0.929255 | − | 0.248993i | ||||
\(671\) | −27.0852 | + | 27.0852i | −1.04561 | + | 1.04561i | ||||
\(672\) | 11.8208 | + | 7.93663i | 0.455996 | + | 0.306162i | ||||
\(673\) | − | 2.24210i | − | 0.0864264i | −0.999066 | − | 0.0432132i | \(-0.986241\pi\) | ||
0.999066 | − | 0.0432132i | \(-0.0137595\pi\) | |||||||
\(674\) | 6.52630 | − | 24.3565i | 0.251384 | − | 0.938177i | ||||
\(675\) | −2.43294 | + | 4.21398i | −0.0936441 | + | 0.162196i | ||||
\(676\) | 12.6022 | − | 7.31199i | 0.484699 | − | 0.281230i | ||||
\(677\) | 16.9090 | − | 9.76244i | 0.649867 | − | 0.375201i | −0.138538 | − | 0.990357i | \(-0.544240\pi\) |
0.788405 | + | 0.615156i | \(0.210907\pi\) | |||||||
\(678\) | 1.57824 | + | 1.57824i | 0.0606121 | + | 0.0606121i | ||||
\(679\) | −20.4142 | + | 10.0106i | −0.783426 | + | 0.384170i | ||||
\(680\) | − | 45.3719i | − | 1.73993i | ||||||
\(681\) | 2.36952 | + | 0.634911i | 0.0908003 | + | 0.0243299i | ||||
\(682\) | −23.7805 | + | 6.37196i | −0.910602 | + | 0.243995i | ||||
\(683\) | 42.3756 | − | 11.3545i | 1.62146 | − | 0.434468i | 0.670028 | − | 0.742336i | \(-0.266282\pi\) |
0.951429 | + | 0.307868i | \(0.0996154\pi\) | |||||||
\(684\) | 4.07340 | + | 1.09147i | 0.155750 | + | 0.0417332i | ||||
\(685\) | 52.5868i | 2.00924i | ||||||||
\(686\) | 16.4815 | − | 5.47184i | 0.629266 | − | 0.208916i | ||||
\(687\) | −0.623407 | − | 0.623407i | −0.0237845 | − | 0.0237845i | ||||
\(688\) | 1.67217 | − | 0.965429i | 0.0637510 | − | 0.0368067i | ||||
\(689\) | 2.49190 | − | 0.00267475i | 0.0949337 | − | 0.000101900i | ||||
\(690\) | −10.2332 | + | 17.7244i | −0.389570 | + | 0.674755i | ||||
\(691\) | −5.68005 | + | 21.1982i | −0.216079 | + | 0.806419i | 0.769704 | + | 0.638400i | \(0.220404\pi\) |
−0.985784 | + | 0.168019i | \(0.946263\pi\) | |||||||
\(692\) | 10.1189i | 0.384662i | ||||||||
\(693\) | 9.26192 | − | 4.54179i | 0.351831 | − | 0.172528i | ||||
\(694\) | −2.72740 | + | 2.72740i | −0.103531 | + | 0.103531i | ||||
\(695\) | −1.02337 | − | 0.274211i | −0.0388186 | − | 0.0104014i | ||||
\(696\) | 1.71237 | + | 6.39066i | 0.0649073 | + | 0.242237i | ||||
\(697\) | −27.7995 | + | 7.44886i | −1.05298 | + | 0.282146i | ||||
\(698\) | −15.5937 | + | 9.00303i | −0.590230 | + | 0.340770i | ||||
\(699\) | 28.9663 | 1.09561 | ||||||||
\(700\) | −14.1576 | + | 2.78326i | −0.535105 | + | 0.105197i | ||||
\(701\) | 4.44352i | 0.167829i | 0.996473 | + | 0.0839146i | \(0.0267423\pi\) | ||||
−0.996473 | + | 0.0839146i | \(0.973258\pi\) | |||||||
\(702\) | 3.26471 | − | 0.878534i | 0.123219 | − | 0.0331581i | ||||
\(703\) | 21.3889 | + | 12.3489i | 0.806696 | + | 0.465746i | ||||
\(704\) | −6.10602 | − | 22.7880i | −0.230129 | − | 0.858854i | ||||
\(705\) | −5.42831 | + | 3.13403i | −0.204442 | + | 0.118035i | ||||
\(706\) | −2.01961 | −0.0760089 | ||||||||
\(707\) | −19.9789 | − | 22.8845i | −0.751386 | − | 0.860661i | ||||
\(708\) | −10.8307 | + | 10.8307i | −0.407042 | + | 0.407042i | ||||
\(709\) | −1.61341 | + | 6.02133i | −0.0605929 | + | 0.226136i | −0.989582 | − | 0.143972i | \(-0.954013\pi\) |
0.928989 | + | 0.370108i | \(0.120679\pi\) | |||||||
\(710\) | −1.89841 | − | 7.08498i | −0.0712462 | − | 0.265894i | ||||
\(711\) | 2.69505 | − | 4.66797i | 0.101072 | − | 0.175062i | ||||
\(712\) | 11.4257 | + | 19.7899i | 0.428197 | + | 0.741659i | ||||
\(713\) | −33.0888 | + | 33.0888i | −1.23918 | + | 1.23918i | ||||
\(714\) | 0.828241 | − | 12.2184i | 0.0309962 | − | 0.457261i | ||||
\(715\) | 38.2160 | − | 22.1188i | 1.42920 | − | 0.827194i | ||||
\(716\) | 6.07306 | + | 10.5188i | 0.226961 | + | 0.393108i | ||||
\(717\) | −22.4437 | + | 6.01378i | −0.838177 | + | 0.224589i | ||||
\(718\) | −13.4753 | + | 23.3400i | −0.502896 | + | 0.871041i | ||||
\(719\) | 10.6902 | + | 18.5160i | 0.398678 | + | 0.690531i | 0.993563 | − | 0.113280i | \(-0.0361357\pi\) |
−0.594885 | + | 0.803811i | \(0.702802\pi\) | |||||||
\(720\) | 1.11582 | + | 1.11582i | 0.0415841 | + | 0.0415841i | ||||
\(721\) | −19.8468 | + | 3.90173i | −0.739135 | + | 0.145308i | ||||
\(722\) | 3.21039 | + | 3.21039i | 0.119478 | + | 0.119478i | ||||
\(723\) | 3.65884 | − | 13.6550i | 0.136074 | − | 0.507833i | ||||
\(724\) | 14.7594 | + | 8.52136i | 0.548530 | + | 0.316694i | ||||
\(725\) | −9.52754 | − | 5.50072i | −0.353844 | − | 0.204292i | ||||
\(726\) | −3.80550 | − | 1.01968i | −0.141235 | − | 0.0378439i | ||||
\(727\) | 38.8700 | 1.44161 | 0.720805 | − | 0.693138i | \(-0.243772\pi\) | ||||
0.720805 | + | 0.693138i | \(0.243772\pi\) | |||||||
\(728\) | 23.1923 | + | 15.5356i | 0.859565 | + | 0.575786i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −42.4139 | − | 11.3648i | −1.56981 | − | 0.420629i | ||||
\(731\) | 16.4303 | + | 9.48605i | 0.607697 | + | 0.350854i | ||||
\(732\) | 9.53553 | + | 5.50534i | 0.352443 | + | 0.203483i | ||||
\(733\) | 2.88314 | − | 10.7600i | 0.106491 | − | 0.397430i | −0.892019 | − | 0.451998i | \(-0.850711\pi\) |
0.998510 | + | 0.0545678i | \(0.0173781\pi\) | |||||||
\(734\) | −1.21706 | − | 1.21706i | −0.0449227 | − | 0.0449227i | ||||
\(735\) | −21.8115 | + | 2.77249i | −0.804530 | + | 0.102265i | ||||
\(736\) | −26.4425 | − | 26.4425i | −0.974683 | − | 0.974683i | ||||
\(737\) | −16.4824 | − | 28.5484i | −0.607137 | − | 1.05159i | ||||
\(738\) | 2.73346 | − | 4.73449i | 0.100620 | − | 0.174279i | ||||
\(739\) | 31.6580 | − | 8.48273i | 1.16456 | − | 0.312042i | 0.375773 | − | 0.926712i | \(-0.377377\pi\) |
0.788785 | + | 0.614670i | \(0.210711\pi\) | |||||||
\(740\) | −11.5533 | − | 20.0108i | −0.424706 | − | 0.735613i | ||||
\(741\) | 13.1082 | + | 3.49725i | 0.481541 | + | 0.128475i | ||||
\(742\) | 0.754911 | + | 1.53947i | 0.0277137 | + | 0.0565156i | ||||
\(743\) | 18.3140 | − | 18.3140i | 0.671877 | − | 0.671877i | −0.286271 | − | 0.958149i | \(-0.592416\pi\) |
0.958149 | + | 0.286271i | \(0.0924159\pi\) | |||||||
\(744\) | 9.85287 | + | 17.0657i | 0.361224 | + | 0.625658i | ||||
\(745\) | −12.1586 | + | 21.0594i | −0.445458 | + | 0.771556i | ||||
\(746\) | 6.06831 | + | 22.6472i | 0.222176 | + | 0.829174i | ||||
\(747\) | −2.25808 | + | 8.42725i | −0.0826187 | + | 0.308337i | ||||
\(748\) | 15.2527 | − | 15.2527i | 0.557693 | − | 0.557693i | ||||
\(749\) | 6.01634 | − | 1.18276i | 0.219832 | − | 0.0432172i | ||||
\(750\) | 0.394994 | 0.0144231 | ||||||||
\(751\) | 23.9597 | − | 13.8332i | 0.874303 | − | 0.504779i | 0.00552705 | − | 0.999985i | \(-0.498241\pi\) |
0.868776 | + | 0.495206i | \(0.164907\pi\) | |||||||
\(752\) | 0.259479 | + | 0.968388i | 0.00946222 | + | 0.0353135i | ||||
\(753\) | −8.05424 | − | 4.65012i | −0.293513 | − | 0.169460i | ||||
\(754\) | 1.98631 | + | 7.38129i | 0.0723370 | + | 0.268811i | ||||
\(755\) | − | 52.1038i | − | 1.89625i | ||||||
\(756\) | −1.95014 | − | 2.23375i | −0.0709258 | − | 0.0812407i | ||||
\(757\) | 29.6437 | 1.07742 | 0.538710 | − | 0.842491i | \(-0.318912\pi\) | ||||
0.538710 | + | 0.842491i | \(0.318912\pi\) | |||||||
\(758\) | −18.0700 | + | 10.4327i | −0.656330 | + | 0.378933i | ||||
\(759\) | −26.1701 | + | 7.01226i | −0.949915 | + | 0.254529i | ||||
\(760\) | 8.95119 | + | 33.4063i | 0.324694 | + | 1.21177i | ||||
\(761\) | 46.0734 | + | 12.3453i | 1.67016 | + | 0.447518i | 0.965154 | − | 0.261683i | \(-0.0842774\pi\) |
0.705007 | + | 0.709201i | \(0.250944\pi\) | |||||||
\(762\) | −9.45310 | + | 9.45310i | −0.342450 | + | 0.342450i | ||||
\(763\) | 6.71779 | + | 0.455377i | 0.243200 | + | 0.0164857i | ||||
\(764\) | − | 2.38278i | − | 0.0862061i | ||||||
\(765\) | −4.01300 | + | 14.9767i | −0.145090 | + | 0.541485i | ||||
\(766\) | 2.41714 | − | 4.18660i | 0.0873347 | − | 0.151268i | ||||
\(767\) | −34.8057 | + | 34.8804i | −1.25676 | + | 1.25946i | ||||
\(768\) | −14.6131 | + | 8.43686i | −0.527304 | + | 0.304439i | ||||
\(769\) | −27.2194 | − | 27.2194i | −0.981556 | − | 0.981556i | 0.0182765 | − | 0.999833i | \(-0.494182\pi\) |
−0.999833 | + | 0.0182765i | \(0.994182\pi\) | |||||||
\(770\) | 25.2239 | + | 16.9357i | 0.909007 | + | 0.610320i | ||||
\(771\) | − | 2.65647i | − | 0.0956705i | ||||||
\(772\) | 11.6448 | + | 3.12020i | 0.419104 | + | 0.112299i | ||||
\(773\) | −19.9752 | + | 5.35234i | −0.718458 | + | 0.192510i | −0.599483 | − | 0.800387i | \(-0.704627\pi\) |
−0.118974 | + | 0.992897i | \(0.537961\pi\) | |||||||
\(774\) | −3.48104 | + | 0.932741i | −0.125123 | + | 0.0335267i | ||||
\(775\) | −31.6508 | − | 8.48080i | −1.13693 | − | 0.304639i | ||||
\(776\) | − | 25.1472i | − | 0.902733i | ||||||
\(777\) | −7.64606 | − | 15.5924i | −0.274301 | − | 0.559373i | ||||
\(778\) | 11.7968 | + | 11.7968i | 0.422935 | + | 0.422935i | ||||
\(779\) | 18.9986 | − | 10.9688i | 0.680695 | − | 0.392999i | ||||
\(780\) | −8.98467 | − | 8.96540i | −0.321703 | − | 0.321013i | ||||
\(781\) | 4.85497 | − | 8.40906i | 0.173725 | − | 0.300900i | ||||
\(782\) | −8.32478 | + | 31.0685i | −0.297694 | + | 1.11101i | ||||
\(783\) | − | 2.26093i | − | 0.0807992i | ||||||
\(784\) | −0.474593 | + | 3.48455i | −0.0169497 | + | 0.124448i | ||||
\(785\) | −53.7399 | + | 53.7399i | −1.91806 | + | 1.91806i | ||||
\(786\) | 4.73240 | + | 1.26804i | 0.168799 | + | 0.0452296i | ||||
\(787\) | 5.02312 | + | 18.7465i | 0.179055 | + | 0.668242i | 0.995825 | + | 0.0912790i | \(0.0290955\pi\) |
−0.816771 | + | 0.576963i | \(0.804238\pi\) | |||||||
\(788\) | −20.9779 | + | 5.62100i | −0.747306 | + | 0.200240i | ||||
\(789\) | −14.5122 | + | 8.37863i | −0.516648 | + | 0.298287i | ||||
\(790\) | 15.8752 | 0.564815 | ||||||||
\(791\) | 2.03765 | − | 5.95897i | 0.0724505 | − | 0.211877i | ||||
\(792\) | 11.4093i | 0.405412i | ||||||||
\(793\) | 30.6954 | + | 17.6781i | 1.09003 | + | 0.627768i | ||||
\(794\) | −6.36451 | − | 3.67455i | −0.225868 | − | 0.130405i | ||||
\(795\) | −0.561853 | − | 2.09687i | −0.0199269 | − | 0.0743682i | ||||
\(796\) | 2.07945 | − | 1.20057i | 0.0737040 | − | 0.0425530i | ||||
\(797\) | 6.52194 | 0.231019 | 0.115509 | − | 0.993306i | \(-0.463150\pi\) | ||||
0.115509 | + | 0.993306i | \(0.463150\pi\) | |||||||
\(798\) | 1.80068 | + | 9.15949i | 0.0637434 | + | 0.324242i | ||||
\(799\) | −6.96555 | + | 6.96555i | −0.246423 | + | 0.246423i | ||||
\(800\) | 6.77733 | − | 25.2933i | 0.239615 | − | 0.894254i | ||||
\(801\) | −2.02113 | − | 7.54298i | −0.0714133 | − | 0.266518i | ||||
\(802\) | −1.12320 | + | 1.94545i | −0.0396617 | + | 0.0686962i | ||||
\(803\) | −29.0640 | − | 50.3404i | −1.02565 | − | 1.77647i | ||||
\(804\) | −6.70043 | + | 6.70043i | −0.236306 | + | 0.236306i | ||||
\(805\) | 57.6154 | + | 3.90556i | 2.03068 | + | 0.137653i | ||||
\(806\) | 11.4046 | + | 19.7045i | 0.401711 | + | 0.694062i | ||||
\(807\) | 6.04116 | + | 10.4636i | 0.212659 | + | 0.368336i | ||||
\(808\) | 32.4546 | − | 8.69620i | 1.14175 | − | 0.305931i | ||||
\(809\) | −7.01956 | + | 12.1582i | −0.246794 | + | 0.427460i | −0.962635 | − | 0.270804i | \(-0.912711\pi\) |
0.715840 | + | 0.698264i | \(0.246044\pi\) | |||||||
\(810\) | −1.47263 | − | 2.55066i | −0.0517428 | − | 0.0896212i | ||||
\(811\) | 1.53783 | + | 1.53783i | 0.0540004 | + | 0.0540004i | 0.733591 | − | 0.679591i | \(-0.237843\pi\) |
−0.679591 | + | 0.733591i | \(0.737843\pi\) | |||||||
\(812\) | 5.05036 | − | 4.40913i | 0.177233 | − | 0.154730i | ||||
\(813\) | −14.6850 | − | 14.6850i | −0.515025 | − | 0.515025i | ||||
\(814\) | −6.21084 | + | 23.1792i | −0.217690 | + | 0.812429i | ||||
\(815\) | 48.2428 | + | 27.8530i | 1.68987 | + | 0.975647i | ||||
\(816\) | 2.14771 | + | 1.23998i | 0.0751849 | + | 0.0434080i | ||||
\(817\) | −13.9687 | − | 3.74291i | −0.488703 | − | 0.130948i | ||||
\(818\) | −17.6838 | −0.618299 | ||||||||
\(819\) | −6.28144 | − | 7.17939i | −0.219491 | − | 0.250868i | ||||
\(820\) | −20.5243 | −0.716739 | ||||||||
\(821\) | −5.01757 | − | 1.34445i | −0.175114 | − | 0.0469218i | 0.170196 | − | 0.985410i | \(-0.445560\pi\) |
−0.345311 | + | 0.938488i | \(0.612226\pi\) | |||||||
\(822\) | −13.5955 | − | 7.84934i | −0.474196 | − | 0.273777i | ||||
\(823\) | −13.9084 | − | 8.03002i | −0.484817 | − | 0.279909i | 0.237605 | − | 0.971362i | \(-0.423638\pi\) |
−0.722422 | + | 0.691453i | \(0.756971\pi\) | |||||||
\(824\) | 5.79012 | − | 21.6090i | 0.201708 | − | 0.752785i | ||||
\(825\) | −13.4150 | − | 13.4150i | −0.467051 | − | 0.467051i | ||||
\(826\) | −32.0812 | − | 10.9701i | −1.11625 | − | 0.381697i | ||||
\(827\) | 20.7787 | + | 20.7787i | 0.722546 | + | 0.722546i | 0.969123 | − | 0.246577i | \(-0.0793058\pi\) |
−0.246577 | + | 0.969123i | \(0.579306\pi\) | |||||||
\(828\) | 3.89403 | + | 6.74465i | 0.135327 | + | 0.234393i | ||||
\(829\) | −6.34108 | + | 10.9831i | −0.220235 | + | 0.381458i | −0.954879 | − | 0.296995i | \(-0.904016\pi\) |
0.734644 | + | 0.678452i | \(0.237349\pi\) | |||||||
\(830\) | −24.8204 | + | 6.65060i | −0.861528 | + | 0.230846i | ||||
\(831\) | −13.1730 | − | 22.8163i | −0.456966 | − | 0.791489i | ||||
\(832\) | −18.8821 | + | 10.9286i | −0.654619 | + | 0.378882i | ||||
\(833\) | −31.9828 | + | 13.0807i | −1.10814 | + | 0.453218i | ||||
\(834\) | 0.223645 | − | 0.223645i | 0.00774420 | − | 0.00774420i | ||||
\(835\) | 10.9198 | + | 18.9137i | 0.377895 | + | 0.654534i | ||||
\(836\) | −8.22107 | + | 14.2393i | −0.284331 | + | 0.492477i | ||||
\(837\) | −1.74291 | − | 6.50462i | −0.0602437 | − | 0.224833i | ||||
\(838\) | −2.37141 | + | 8.85022i | −0.0819190 | + | 0.305726i | ||||
\(839\) | 12.6699 | − | 12.6699i | 0.437414 | − | 0.437414i | −0.453727 | − | 0.891141i | \(-0.649906\pi\) |
0.891141 | + | 0.453727i | \(0.149906\pi\) | |||||||
\(840\) | 7.86824 | − | 23.0101i | 0.271480 | − | 0.793925i | ||||
\(841\) | −23.8882 | −0.823730 | ||||||||
\(842\) | 9.23408 | − | 5.33130i | 0.318227 | − | 0.183729i | ||||
\(843\) | −2.35643 | − | 8.79431i | −0.0811597 | − | 0.302892i | ||||
\(844\) | −2.57508 | − | 1.48672i | −0.0886379 | − | 0.0511751i | ||||
\(845\) | −28.9352 | − | 28.8113i | −0.995402 | − | 0.991137i | ||||
\(846\) | − | 1.87120i | − | 0.0643331i | ||||||
\(847\) | 2.14434 | + | 10.9076i | 0.0736803 | + | 0.374788i | ||||
\(848\) | −0.347215 | −0.0119234 | ||||||||
\(849\) | −15.3232 | + | 8.84685i | −0.525891 | + | 0.303623i | ||||
\(850\) | −21.7553 | + | 5.82932i | −0.746201 | + | 0.199944i | ||||
\(851\) | 11.8051 | + | 44.0571i | 0.404673 | + | 1.51026i | ||||
\(852\) | −2.69605 | − | 0.722404i | −0.0923651 | − | 0.0247491i | ||||
\(853\) | 0.00600545 | − | 0.00600545i | 0.000205623 | − | 0.000205623i | −0.707004 | − | 0.707210i | \(-0.749954\pi\) |
0.707210 | + | 0.707004i | \(0.249954\pi\) | |||||||
\(854\) | −1.64837 | + | 24.3170i | −0.0564060 | + | 0.832112i | ||||
\(855\) | − | 11.8187i | − | 0.404191i | ||||||
\(856\) | −1.75521 | + | 6.55052i | −0.0599917 | + | 0.223892i | ||||
\(857\) | 10.1876 | − | 17.6454i | 0.348001 | − | 0.602756i | −0.637893 | − | 0.770125i | \(-0.720194\pi\) |
0.985894 | + | 0.167369i | \(0.0535271\pi\) | |||||||
\(858\) | 0.0141489 | + | 13.1817i | 0.000483035 | + | 0.450015i | ||||
\(859\) | −19.8708 | + | 11.4724i | −0.677983 | + | 0.391433i | −0.799095 | − | 0.601205i | \(-0.794687\pi\) |
0.121112 | + | 0.992639i | \(0.461354\pi\) | |||||||
\(860\) | 9.56699 | + | 9.56699i | 0.326232 | + | 0.326232i | ||||
\(861\) | −15.3901 | − | 1.04324i | −0.524494 | − | 0.0355537i | ||||
\(862\) | 22.1411i | 0.754130i | ||||||||
\(863\) | 34.5180 | + | 9.24907i | 1.17501 | + | 0.314842i | 0.792944 | − | 0.609294i | \(-0.208547\pi\) |
0.382063 | + | 0.924136i | \(0.375214\pi\) | |||||||
\(864\) | 5.19809 | − | 1.39282i | 0.176843 | − | 0.0473848i | ||||
\(865\) | 27.3926 | − | 7.33982i | 0.931376 | − | 0.249561i | ||||
\(866\) | 19.2179 | + | 5.14942i | 0.653050 | + | 0.174984i | ||||
\(867\) | 7.36744i | 0.250211i | ||||||||
\(868\) | 11.1308 | − | 16.5781i | 0.377804 | − | 0.562698i | ||||
\(869\) | 14.8603 | + | 14.8603i | 0.504100 | + | 0.504100i | ||||
\(870\) | 5.76688 | − | 3.32951i | 0.195516 | − | 0.112881i | ||||
\(871\) | −21.5326 | + | 21.5789i | −0.729604 | + | 0.731172i | ||||
\(872\) | −3.72355 | + | 6.44938i | −0.126095 | + | 0.218404i | ||||
\(873\) | −2.22419 | + | 8.30080i | −0.0752775 | + | 0.280939i | ||||
\(874\) | − | 24.5174i | − | 0.829312i | ||||||
\(875\) | −0.490703 | − | 1.00067i | −0.0165888 | − | 0.0338290i | ||||
\(876\) | −11.8151 | + | 11.8151i | −0.399196 | + | 0.399196i | ||||
\(877\) | −51.5283 | − | 13.8070i | −1.73999 | − | 0.466228i | −0.757543 | − | 0.652786i | \(-0.773600\pi\) |
−0.982444 | + | 0.186558i | \(0.940267\pi\) | |||||||
\(878\) | −1.77952 | − | 6.64126i | −0.0600559 | − | 0.224132i | ||||
\(879\) | 1.03586 | − | 0.277558i | 0.0349387 | − | 0.00936181i | ||||
\(880\) | −5.32823 | + | 3.07626i | −0.179615 | + | 0.103701i | ||||
\(881\) | 50.6900 | 1.70779 | 0.853894 | − | 0.520447i | \(-0.174235\pi\) | ||||
0.853894 | + | 0.520447i | \(0.174235\pi\) | |||||||
\(882\) | 2.53890 | − | 6.05284i | 0.0854892 | − | 0.203810i | ||||
\(883\) | − | 34.3901i | − | 1.15732i | −0.815569 | − | 0.578659i | \(-0.803576\pi\) | ||
0.815569 | − | 0.578659i | \(-0.196424\pi\) | |||||||
\(884\) | −17.2857 | − | 9.95519i | −0.581382 | − | 0.334829i | ||||
\(885\) | 37.1756 | + | 21.4634i | 1.24965 | + | 0.721483i | ||||
\(886\) | 2.42128 | + | 9.03633i | 0.0813444 | + | 0.303581i | ||||
\(887\) | −14.2770 | + | 8.24283i | −0.479375 | + | 0.276767i | −0.720156 | − | 0.693812i | \(-0.755930\pi\) |
0.240781 | + | 0.970579i | \(0.422596\pi\) | |||||||
\(888\) | 19.2074 | 0.644559 | ||||||||
\(889\) | 35.6920 | + | 12.2048i | 1.19707 | + | 0.409335i | ||||
\(890\) | 16.2632 | − | 16.2632i | 0.545144 | − | 0.545144i | ||||
\(891\) | 1.00911 | − | 3.76607i | 0.0338066 | − | 0.126168i | ||||
\(892\) | 5.89643 | + | 22.0058i | 0.197427 | + | 0.736808i | ||||
\(893\) | 3.75438 | − | 6.50277i | 0.125635 | − | 0.217607i | ||||
\(894\) | −3.62970 | − | 6.28683i | −0.121395 | − | 0.210263i | ||||
\(895\) | 24.0701 | − | 24.0701i | 0.804576 | − | 0.804576i | ||||
\(896\) | 11.1787 | + | 7.50553i | 0.373454 | + | 0.250742i | ||||
\(897\) | 12.5506 | + | 21.6845i | 0.419053 | + | 0.724026i | ||||
\(898\) | −17.6283 | − | 30.5330i | −0.588263 | − | 1.01890i | ||||
\(899\) | 14.7065 | − | 3.94060i | 0.490490 | − | 0.131426i | ||||
\(900\) | −2.72674 | + | 4.72285i | −0.0908913 | + | 0.157428i | ||||
\(901\) | −1.70582 | − | 2.95457i | −0.0568292 | − | 0.0984310i | ||||
\(902\) | 15.0721 | + | 15.0721i | 0.501844 | + | 0.501844i | ||||
\(903\) | 6.68751 | + | 7.66008i | 0.222546 | + | 0.254912i | ||||
\(904\) | 4.92532 | + | 4.92532i | 0.163814 | + | 0.163814i | ||||
\(905\) | 12.3621 | − | 46.1359i | 0.410930 | − | 1.53361i | ||||
\(906\) | 13.4706 | + | 7.77725i | 0.447530 | + | 0.258382i | ||||
\(907\) | −14.1515 | − | 8.17037i | −0.469893 | − | 0.271293i | 0.246302 | − | 0.969193i | \(-0.420784\pi\) |
−0.716195 | + | 0.697900i | \(0.754118\pi\) | |||||||
\(908\) | 2.65566 | + | 0.711581i | 0.0881311 | + | 0.0236147i | ||||
\(909\) | −11.4820 | −0.380835 | ||||||||
\(910\) | 9.06199 | − | 26.5944i | 0.300402 | − | 0.881595i | ||||
\(911\) | −20.9813 | −0.695142 | −0.347571 | − | 0.937654i | \(-0.612994\pi\) | ||||
−0.347571 | + | 0.937654i | \(0.612994\pi\) | |||||||
\(912\) | −1.82594 | − | 0.489258i | −0.0604628 | − | 0.0162010i | ||||
\(913\) | −29.4590 | − | 17.0081i | −0.974949 | − | 0.562887i | ||||
\(914\) | −23.0875 | − | 13.3296i | −0.763667 | − | 0.440903i | ||||
\(915\) | 7.98669 | − | 29.8067i | 0.264032 | − | 0.985380i | ||||
\(916\) | −0.698688 | − | 0.698688i | −0.0230853 | − | 0.0230853i | ||||
\(917\) | −2.66664 | − | 13.5643i | −0.0880601 | − | 0.447934i | ||||
\(918\) | −3.27299 | − | 3.27299i | −0.108025 | − | 0.108025i | ||||
\(919\) | −23.9708 | − | 41.5187i | −0.790725 | − | 1.36958i | −0.925519 | − | 0.378702i | \(-0.876370\pi\) |
0.134794 | − | 0.990874i | \(-0.456963\pi\) | |||||||
\(920\) | −31.9352 | + | 55.3134i | −1.05287 | + | 1.82363i | ||||
\(921\) | −28.7697 | + | 7.70882i | −0.947994 | + | 0.254014i | ||||
\(922\) | −7.29867 | − | 12.6417i | −0.240369 | − | 0.416331i | ||||
\(923\) | −8.67586 | − | 2.31471i | −0.285569 | − | 0.0761896i | ||||
\(924\) | 10.3804 | − | 5.09024i | 0.341489 | − | 0.167457i | ||||
\(925\) | −22.5841 | + | 22.5841i | −0.742559 | + | 0.742559i | ||||
\(926\) | 15.3519 | + | 26.5902i | 0.504493 | + | 0.873808i | ||||
\(927\) | −3.82249 | + | 6.62075i | −0.125547 | + | 0.217454i | ||||
\(928\) | 3.14908 | + | 11.7525i | 0.103374 | + | 0.385796i | ||||
\(929\) | 10.2712 | − | 38.3325i | 0.336986 | − | 1.25765i | −0.564714 | − | 0.825287i | \(-0.691013\pi\) |
0.901700 | − | 0.432362i | \(-0.142320\pi\) | |||||||
\(930\) | 14.0244 | − | 14.0244i | 0.459880 | − | 0.459880i | ||||
\(931\) | 20.9676 | − | 15.9407i | 0.687185 | − | 0.522436i | ||||
\(932\) | 32.4642 | 1.06340 | ||||||||
\(933\) | −20.3387 | + | 11.7425i | −0.665858 | + | 0.384433i | ||||
\(934\) | 4.50000 | + | 16.7942i | 0.147244 | + | 0.549524i | ||||
\(935\) | −52.3538 | − | 30.2265i | −1.71215 | − | 0.988511i | ||||
\(936\) | 10.1884 | − | 2.74169i | 0.333017 | − | 0.0896149i | ||||
\(937\) | 20.5205i | 0.670376i | 0.942151 | + | 0.335188i | \(0.108800\pi\) | ||||
−0.942151 | + | 0.335188i | \(0.891200\pi\) | |||||||
\(938\) | −19.8471 | − | 6.78665i | −0.648031 | − | 0.221592i | ||||
\(939\) | 3.50143 | 0.114265 | ||||||||
\(940\) | −6.08381 | + | 3.51249i | −0.198432 | + | 0.114565i | ||||
\(941\) | 21.7127 | − | 5.81790i | 0.707814 | − | 0.189658i | 0.113086 | − | 0.993585i | \(-0.463926\pi\) |
0.594728 | + | 0.803927i | \(0.297260\pi\) | |||||||
\(942\) | −5.87212 | − | 21.9150i | −0.191324 | − | 0.714031i | ||||
\(943\) | 39.1336 | + | 10.4858i | 1.27436 | + | 0.341465i | ||||
\(944\) | 4.85495 | − | 4.85495i | 0.158015 | − | 0.158015i | ||||
\(945\) | −4.63238 | + | 6.89944i | −0.150691 | + | 0.224439i | ||||
\(946\) | − | 14.0511i | − | 0.456840i | ||||||
\(947\) | −6.86691 | + | 25.6276i | −0.223144 | + | 0.832786i | 0.759995 | + | 0.649929i | \(0.225201\pi\) |
−0.983139 | + | 0.182858i | \(0.941465\pi\) | |||||||
\(948\) | 3.02050 | − | 5.23166i | 0.0981012 | − | 0.169916i | ||||
\(949\) | −37.9692 | + | 38.0508i | −1.23253 | + | 1.23518i | ||||
\(950\) | 14.8679 | − | 8.58398i | 0.482378 | − | 0.278501i | ||||
\(951\) | −6.37397 | − | 6.37397i | −0.206690 | − | 0.206690i | ||||
\(952\) | 2.58474 | − | 38.1305i | 0.0837719 | − | 1.23582i | ||||
\(953\) | − | 9.87206i | − | 0.319787i | −0.987134 | − | 0.159894i | \(-0.948885\pi\) | ||
0.987134 | − | 0.159894i | \(-0.0511151\pi\) | |||||||
\(954\) | 0.625975 | + | 0.167729i | 0.0202667 | + | 0.00543044i | ||||
\(955\) | −6.45038 | + | 1.72837i | −0.208729 | + | 0.0559288i | ||||
\(956\) | −25.1540 | + | 6.73999i | −0.813538 | + | 0.217987i | ||||
\(957\) | 8.51483 | + | 2.28154i | 0.275245 | + | 0.0737518i | ||||
\(958\) | − | 21.4672i | − | 0.693575i | ||||||
\(959\) | −2.99575 | + | 44.1939i | −0.0967380 | + | 1.42709i | ||||
\(960\) | 13.4391 | + | 13.4391i | 0.433745 | + | 0.433745i | ||||
\(961\) | 12.4256 | − | 7.17392i | 0.400826 | − | 0.231417i | ||||
\(962\) | 22.1912 | − | 0.0238195i | 0.715473 | − | 0.000767972i | ||||
\(963\) | 1.15874 | − | 2.00700i | 0.0373400 | − | 0.0646748i | ||||
\(964\) | 4.10067 | − | 15.3039i | 0.132074 | − | 0.492905i | ||||
\(965\) | − | 33.7865i | − | 1.08763i | ||||||
\(966\) | −9.60965 | + | 14.3126i | −0.309186 | + | 0.460499i | ||||
\(967\) | 25.1198 | − | 25.1198i | 0.807798 | − | 0.807798i | −0.176502 | − | 0.984300i | \(-0.556478\pi\) |
0.984300 | + | 0.176502i | \(0.0564783\pi\) | |||||||
\(968\) | −11.8760 | − | 3.18217i | −0.381710 | − | 0.102279i | ||||
\(969\) | −4.80732 | − | 17.9412i | −0.154433 | − | 0.576353i | ||||
\(970\) | −24.4479 | + | 6.55081i | −0.784976 | + | 0.210334i | ||||
\(971\) | 44.3768 | − | 25.6210i | 1.42412 | − | 0.822216i | 0.427472 | − | 0.904029i | \(-0.359404\pi\) |
0.996648 | + | 0.0818129i | \(0.0260710\pi\) | |||||||
\(972\) | −1.12076 | −0.0359483 | ||||||||
\(973\) | −0.844416 | − | 0.288745i | −0.0270707 | − | 0.00925675i | ||||
\(974\) | 3.68570i | 0.118097i | ||||||||
\(975\) | −8.75579 | + | 15.2031i | −0.280410 | + | 0.486890i | ||||
\(976\) | −4.27438 | − | 2.46781i | −0.136820 | − | 0.0789928i | ||||
\(977\) | −9.33312 | − | 34.8317i | −0.298593 | − | 1.11436i | −0.938322 | − | 0.345763i | \(-0.887620\pi\) |
0.639729 | − | 0.768601i | \(-0.279047\pi\) | |||||||
\(978\) | −14.4019 | + | 8.31492i | −0.460521 | + | 0.265882i | ||||
\(979\) | 30.4469 | 0.973088 | ||||||||
\(980\) | −24.4454 | + | 3.10729i | −0.780880 | + | 0.0992586i | ||||
\(981\) | 1.79953 | − | 1.79953i | 0.0574544 | − | 0.0574544i | ||||
\(982\) | −5.52339 | + | 20.6136i | −0.176259 | + | 0.657806i | ||||
\(983\) | 4.95918 | + | 18.5079i | 0.158173 | + | 0.590311i | 0.998813 | + | 0.0487155i | \(0.0155128\pi\) |
−0.840639 | + | 0.541595i | \(0.817821\pi\) | |||||||
\(984\) | 8.53047 | − | 14.7752i | 0.271941 | − | 0.471016i | ||||
\(985\) | 30.4330 | + | 52.7114i | 0.969675 | + | 1.67953i | ||||
\(986\) | 7.40001 | − | 7.40001i | 0.235664 | − | 0.235664i | ||||
\(987\) | −4.74048 | + | 2.32460i | −0.150891 | + | 0.0739928i | ||||
\(988\) | 14.6911 | + | 3.91957i | 0.467386 | + | 0.124698i | ||||
\(989\) | −13.3536 | − | 23.1291i | −0.424619 | − | 0.735462i | ||||
\(990\) | 11.0920 | − | 2.97210i | 0.352528 | − | 0.0944595i | ||||
\(991\) | 17.0444 | − | 29.5217i | 0.541432 | − | 0.937788i | −0.457390 | − | 0.889266i | \(-0.651216\pi\) |
0.998822 | − | 0.0485220i | \(-0.0154511\pi\) | |||||||
\(992\) | 18.1196 | + | 31.3841i | 0.575298 | + | 0.996445i | ||||
\(993\) | 18.9825 | + | 18.9825i | 0.602391 | + | 0.602391i | ||||
\(994\) | −1.19181 | − | 6.06236i | −0.0378019 | − | 0.192286i | ||||
\(995\) | −4.75837 | − | 4.75837i | −0.150851 | − | 0.150851i | ||||
\(996\) | −2.53075 | + | 9.44491i | −0.0801900 | + | 0.299273i | ||||
\(997\) | 39.9883 | + | 23.0872i | 1.26644 | + | 0.731180i | 0.974313 | − | 0.225199i | \(-0.0723032\pi\) |
0.292128 | + | 0.956379i | \(0.405637\pi\) | |||||||
\(998\) | −12.4048 | − | 7.16191i | −0.392667 | − | 0.226706i | ||||
\(999\) | −6.34014 | − | 1.69884i | −0.200593 | − | 0.0537488i |
(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 | 273.2.bz.a.31.6 | ✓ | 36 | |
3.2 | odd | 2 | 819.2.fn.f.577.4 | 36 | |||
7.5 | odd | 6 | 273.2.bz.b.187.4 | yes | 36 | ||
13.8 | odd | 4 | 273.2.bz.b.73.4 | yes | 36 | ||
21.5 | even | 6 | 819.2.fn.g.460.6 | 36 | |||
39.8 | even | 4 | 819.2.fn.g.73.6 | 36 | |||
91.47 | even | 12 | inner | 273.2.bz.a.229.6 | yes | 36 | |
273.47 | odd | 12 | 819.2.fn.f.775.4 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bz.a.31.6 | ✓ | 36 | 1.1 | even | 1 | trivial | |
273.2.bz.a.229.6 | yes | 36 | 91.47 | even | 12 | inner | |
273.2.bz.b.73.4 | yes | 36 | 13.8 | odd | 4 | ||
273.2.bz.b.187.4 | yes | 36 | 7.5 | odd | 6 | ||
819.2.fn.f.577.4 | 36 | 3.2 | odd | 2 | |||
819.2.fn.f.775.4 | 36 | 273.47 | odd | 12 | |||
819.2.fn.g.73.6 | 36 | 39.8 | even | 4 | |||
819.2.fn.g.460.6 | 36 | 21.5 | even | 6 |