Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(103,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.bj (of order \(6\), degree \(2\), 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: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 103.10 | ||
Character | \(\chi\) | \(=\) | 252.103 |
Dual form | 252.2.bj.b.115.9 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15944 | + | 0.809751i | −0.819849 | + | 0.572580i | ||||
\(3\) | 0.630196 | − | 1.61334i | 0.363844 | − | 0.931460i | ||||
\(4\) | 0.688607 | − | 1.87772i | 0.344304 | − | 0.938858i | ||||
\(5\) | 2.22429 | − | 1.28420i | 0.994735 | − | 0.574310i | 0.0880487 | − | 0.996116i | \(-0.471937\pi\) |
0.906686 | + | 0.421806i | \(0.138604\pi\) | |||||||
\(6\) | 0.575725 | + | 2.38087i | 0.235039 | + | 0.971986i | ||||
\(7\) | 2.01495 | + | 1.71464i | 0.761579 | + | 0.648072i | ||||
\(8\) | 0.722083 | + | 2.73470i | 0.255295 | + | 0.966863i | ||||
\(9\) | −2.20571 | − | 2.03344i | −0.735235 | − | 0.677812i | ||||
\(10\) | −1.53906 | + | 3.29008i | −0.486693 | + | 1.04041i | ||||
\(11\) | −4.82437 | − | 2.78535i | −1.45460 | − | 0.839816i | −0.455866 | − | 0.890048i | \(-0.650670\pi\) |
−0.998738 | + | 0.0502327i | \(0.984004\pi\) | |||||||
\(12\) | −2.59543 | − | 2.29428i | −0.749236 | − | 0.662303i | ||||
\(13\) | 3.36591 | + | 1.94331i | 0.933534 | + | 0.538976i | 0.887928 | − | 0.459983i | \(-0.152145\pi\) |
0.0456066 | + | 0.998959i | \(0.485478\pi\) | |||||||
\(14\) | −3.72464 | − | 0.356415i | −0.995453 | − | 0.0952558i | ||||
\(15\) | −0.670100 | − | 4.39783i | −0.173019 | − | 1.13552i | ||||
\(16\) | −3.05164 | − | 2.58602i | −0.762910 | − | 0.646505i | ||||
\(17\) | 2.65106 | − | 1.53059i | 0.642975 | − | 0.371222i | −0.142784 | − | 0.989754i | \(-0.545606\pi\) |
0.785760 | + | 0.618532i | \(0.212272\pi\) | |||||||
\(18\) | 4.20396 | + | 0.571576i | 0.990883 | + | 0.134722i | ||||
\(19\) | 1.51774 | − | 2.62880i | 0.348193 | − | 0.603089i | −0.637735 | − | 0.770256i | \(-0.720129\pi\) |
0.985929 | + | 0.167167i | \(0.0534619\pi\) | |||||||
\(20\) | −0.879693 | − | 5.06090i | −0.196705 | − | 1.13165i | ||||
\(21\) | 4.03610 | − | 2.17023i | 0.880749 | − | 0.473583i | ||||
\(22\) | 7.84902 | − | 0.677087i | 1.67342 | − | 0.144356i | ||||
\(23\) | −3.90063 | + | 2.25203i | −0.813337 | + | 0.469580i | −0.848113 | − | 0.529815i | \(-0.822261\pi\) |
0.0347766 | + | 0.999395i | \(0.488928\pi\) | |||||||
\(24\) | 4.86705 | + | 0.558435i | 0.993482 | + | 0.113990i | ||||
\(25\) | 0.798325 | − | 1.38274i | 0.159665 | − | 0.276548i | ||||
\(26\) | −5.47616 | + | 0.472395i | −1.07396 | + | 0.0926444i | ||||
\(27\) | −4.67064 | + | 2.27708i | −0.898865 | + | 0.438225i | ||||
\(28\) | 4.60711 | − | 2.60279i | 0.870662 | − | 0.491881i | ||||
\(29\) | 2.91327 | + | 5.04593i | 0.540980 | + | 0.937005i | 0.998848 | + | 0.0479847i | \(0.0152799\pi\) |
−0.457868 | + | 0.889020i | \(0.651387\pi\) | |||||||
\(30\) | 4.33809 | + | 4.55641i | 0.792023 | + | 0.831883i | ||||
\(31\) | 0.712343 | 0.127941 | 0.0639703 | − | 0.997952i | \(-0.479624\pi\) | ||||
0.0639703 | + | 0.997952i | \(0.479624\pi\) | |||||||
\(32\) | 5.63223 | + | 0.527268i | 0.995647 | + | 0.0932087i | ||||
\(33\) | −7.53401 | + | 6.02802i | −1.31150 | + | 1.04934i | ||||
\(34\) | −1.83435 | + | 3.92132i | −0.314588 | + | 0.672501i | ||||
\(35\) | 6.68377 | + | 1.22627i | 1.12976 | + | 0.207277i | ||||
\(36\) | −5.33708 | + | 2.74145i | −0.889513 | + | 0.456909i | ||||
\(37\) | 3.16687 | − | 5.48519i | 0.520631 | − | 0.901759i | −0.479081 | − | 0.877771i | \(-0.659030\pi\) |
0.999712 | − | 0.0239888i | \(-0.00763660\pi\) | |||||||
\(38\) | 0.368945 | + | 4.27693i | 0.0598508 | + | 0.693810i | ||||
\(39\) | 5.25639 | − | 4.20567i | 0.841695 | − | 0.673447i | ||||
\(40\) | 5.11802 | + | 5.15549i | 0.809230 | + | 0.815154i | ||||
\(41\) | −5.66744 | − | 3.27210i | −0.885105 | − | 0.511016i | −0.0127671 | − | 0.999918i | \(-0.504064\pi\) |
−0.872338 | + | 0.488903i | \(0.837397\pi\) | |||||||
\(42\) | −2.92227 | + | 5.78449i | −0.450916 | + | 0.892566i | ||||
\(43\) | 0.877494 | − | 0.506621i | 0.133817 | − | 0.0772590i | −0.431597 | − | 0.902066i | \(-0.642050\pi\) |
0.565414 | + | 0.824807i | \(0.308716\pi\) | |||||||
\(44\) | −8.55220 | + | 7.14079i | −1.28929 | + | 1.07652i | ||||
\(45\) | −7.51747 | − | 1.69040i | −1.12064 | − | 0.251990i | ||||
\(46\) | 2.69896 | − | 5.76963i | 0.397941 | − | 0.850685i | ||||
\(47\) | −0.374318 | −0.0545999 | −0.0272999 | − | 0.999627i | \(-0.508691\pi\) | ||||
−0.0272999 | + | 0.999627i | \(0.508691\pi\) | |||||||
\(48\) | −6.09525 | + | 3.29362i | −0.879773 | + | 0.475394i | ||||
\(49\) | 1.12004 | + | 6.90981i | 0.160005 | + | 0.987116i | ||||
\(50\) | 0.194064 | + | 2.24965i | 0.0274447 | + | 0.318149i | ||||
\(51\) | −0.798668 | − | 5.24161i | −0.111836 | − | 0.733973i | ||||
\(52\) | 5.96677 | − | 4.98204i | 0.827442 | − | 0.690885i | ||||
\(53\) | −2.00394 | − | 3.47093i | −0.275263 | − | 0.476769i | 0.694939 | − | 0.719069i | \(-0.255431\pi\) |
−0.970201 | + | 0.242300i | \(0.922098\pi\) | |||||||
\(54\) | 3.57146 | − | 6.42220i | 0.486015 | − | 0.873951i | ||||
\(55\) | −14.3078 | −1.92926 | ||||||||
\(56\) | −3.23406 | + | 6.74840i | −0.432170 | + | 0.901792i | ||||
\(57\) | −3.28467 | − | 4.10529i | −0.435065 | − | 0.543758i | ||||
\(58\) | −7.46370 | − | 3.49143i | −0.980032 | − | 0.458448i | ||||
\(59\) | 6.31292 | 0.821872 | 0.410936 | − | 0.911664i | \(-0.365202\pi\) | ||||
0.410936 | + | 0.911664i | \(0.365202\pi\) | |||||||
\(60\) | −8.71932 | − | 1.77012i | −1.12566 | − | 0.228521i | ||||
\(61\) | 9.20740i | 1.17889i | 0.807810 | + | 0.589443i | \(0.200653\pi\) | ||||
−0.807810 | + | 0.589443i | \(0.799347\pi\) | |||||||
\(62\) | −0.825920 | + | 0.576821i | −0.104892 | + | 0.0732563i | ||||
\(63\) | −0.957781 | − | 7.87925i | −0.120669 | − | 0.992693i | ||||
\(64\) | −6.95719 | + | 3.94936i | −0.869649 | + | 0.493671i | ||||
\(65\) | 9.98236 | 1.23816 | ||||||||
\(66\) | 3.85405 | − | 13.0898i | 0.474401 | − | 1.61124i | ||||
\(67\) | 6.34532i | 0.775205i | 0.921827 | + | 0.387602i | \(0.126697\pi\) | ||||
−0.921827 | + | 0.387602i | \(0.873303\pi\) | |||||||
\(68\) | −1.04847 | − | 6.03190i | −0.127146 | − | 0.731476i | ||||
\(69\) | 1.17512 | + | 7.71224i | 0.141468 | + | 0.928444i | ||||
\(70\) | −8.74241 | + | 3.99041i | −1.04492 | + | 0.476945i | ||||
\(71\) | 12.0334i | 1.42810i | 0.700092 | + | 0.714052i | \(0.253142\pi\) | ||||
−0.700092 | + | 0.714052i | \(0.746858\pi\) | |||||||
\(72\) | 3.96814 | − | 7.50026i | 0.467649 | − | 0.883914i | ||||
\(73\) | −13.8670 | + | 8.00612i | −1.62301 | + | 0.937046i | −0.636902 | + | 0.770944i | \(0.719785\pi\) |
−0.986109 | + | 0.166101i | \(0.946882\pi\) | |||||||
\(74\) | 0.769831 | + | 8.92413i | 0.0894910 | + | 1.03741i | ||||
\(75\) | −1.72772 | − | 2.15936i | −0.199500 | − | 0.249342i | ||||
\(76\) | −3.89102 | − | 4.66010i | −0.446331 | − | 0.534550i | ||||
\(77\) | −4.94500 | − | 13.8844i | −0.563534 | − | 1.58227i | ||||
\(78\) | −2.68892 | + | 9.13259i | −0.304461 | + | 1.03406i | ||||
\(79\) | 6.94093i | 0.780916i | 0.920621 | + | 0.390458i | \(0.127683\pi\) | ||||
−0.920621 | + | 0.390458i | \(0.872317\pi\) | |||||||
\(80\) | −10.1087 | − | 1.83316i | −1.13019 | − | 0.204954i | ||||
\(81\) | 0.730282 | + | 8.97032i | 0.0811424 | + | 0.996703i | ||||
\(82\) | 9.22065 | − | 0.795409i | 1.01825 | − | 0.0878383i | ||||
\(83\) | 4.89941 | + | 8.48603i | 0.537780 | + | 0.931463i | 0.999023 | + | 0.0441890i | \(0.0140704\pi\) |
−0.461243 | + | 0.887274i | \(0.652596\pi\) | |||||||
\(84\) | −1.29579 | − | 9.07309i | −0.141383 | − | 0.989955i | ||||
\(85\) | 3.93115 | − | 6.80896i | 0.426393 | − | 0.738535i | ||||
\(86\) | −0.607165 | + | 1.29795i | −0.0654723 | + | 0.139961i | ||||
\(87\) | 9.97670 | − | 1.52016i | 1.06961 | − | 0.162978i | ||||
\(88\) | 4.13351 | − | 15.2045i | 0.440634 | − | 1.62080i | ||||
\(89\) | 2.02208 | + | 1.16745i | 0.214340 | + | 0.123749i | 0.603327 | − | 0.797494i | \(-0.293841\pi\) |
−0.388987 | + | 0.921243i | \(0.627175\pi\) | |||||||
\(90\) | 10.0849 | − | 4.12736i | 1.06304 | − | 0.435062i | ||||
\(91\) | 3.45006 | + | 9.68697i | 0.361665 | + | 1.01547i | ||||
\(92\) | 1.54267 | + | 8.87503i | 0.160834 | + | 0.925286i | ||||
\(93\) | 0.448916 | − | 1.14925i | 0.0465504 | − | 0.119172i | ||||
\(94\) | 0.434000 | − | 0.303104i | 0.0447636 | − | 0.0312628i | ||||
\(95\) | − | 7.79631i | − | 0.799885i | ||||||
\(96\) | 4.40007 | − | 8.75439i | 0.449080 | − | 0.893492i | ||||
\(97\) | −3.10755 | + | 1.79414i | −0.315524 | + | 0.182168i | −0.649396 | − | 0.760451i | \(-0.724978\pi\) |
0.333872 | + | 0.942618i | \(0.391645\pi\) | |||||||
\(98\) | −6.89384 | − | 7.10457i | −0.696383 | − | 0.717670i | ||||
\(99\) | 4.97732 | + | 15.9537i | 0.500239 | + | 1.60341i | ||||
\(100\) | −2.04666 | − | 2.45119i | −0.204666 | − | 0.245119i | ||||
\(101\) | −4.14074 | − | 2.39066i | −0.412019 | − | 0.237879i | 0.279638 | − | 0.960106i | \(-0.409786\pi\) |
−0.691657 | + | 0.722226i | \(0.743119\pi\) | |||||||
\(102\) | 5.17041 | + | 5.43062i | 0.511947 | + | 0.537711i | ||||
\(103\) | −3.99131 | − | 6.91315i | −0.393275 | − | 0.681173i | 0.599604 | − | 0.800297i | \(-0.295325\pi\) |
−0.992879 | + | 0.119124i | \(0.961991\pi\) | |||||||
\(104\) | −2.88390 | + | 10.6080i | −0.282790 | + | 1.04020i | ||||
\(105\) | 6.19047 | − | 10.0104i | 0.604128 | − | 0.976913i | ||||
\(106\) | 5.13404 | + | 2.40164i | 0.498662 | + | 0.233268i | ||||
\(107\) | 8.26726 | + | 4.77310i | 0.799226 | + | 0.461433i | 0.843201 | − | 0.537599i | \(-0.180669\pi\) |
−0.0439743 | + | 0.999033i | \(0.514002\pi\) | |||||||
\(108\) | 1.05948 | + | 10.3382i | 0.101949 | + | 0.994790i | ||||
\(109\) | −6.07838 | − | 10.5281i | −0.582203 | − | 1.00841i | −0.995218 | − | 0.0976814i | \(-0.968857\pi\) |
0.413014 | − | 0.910725i | \(-0.364476\pi\) | |||||||
\(110\) | 16.5890 | − | 11.5857i | 1.58170 | − | 1.10466i | ||||
\(111\) | −6.85370 | − | 8.56598i | −0.650524 | − | 0.813046i | ||||
\(112\) | −1.71481 | − | 10.4432i | −0.162035 | − | 0.986785i | ||||
\(113\) | 2.22557 | − | 3.85479i | 0.209364 | − | 0.362628i | −0.742151 | − | 0.670233i | \(-0.766194\pi\) |
0.951514 | + | 0.307605i | \(0.0995274\pi\) | |||||||
\(114\) | 7.13264 | + | 2.10007i | 0.668033 | + | 0.196690i | ||||
\(115\) | −5.78409 | + | 10.0183i | −0.539370 | + | 0.934215i | ||||
\(116\) | 11.4809 | − | 1.99563i | 1.06598 | − | 0.185289i | ||||
\(117\) | −3.47261 | − | 11.1307i | −0.321043 | − | 1.02903i | ||||
\(118\) | −7.31945 | + | 5.11189i | −0.673810 | + | 0.470588i | ||||
\(119\) | 7.96614 | + | 1.46154i | 0.730255 | + | 0.133979i | ||||
\(120\) | 11.5429 | − | 5.00812i | 1.05372 | − | 0.457177i | ||||
\(121\) | 10.0164 | + | 17.3489i | 0.910581 | + | 1.57717i | ||||
\(122\) | −7.45570 | − | 10.6754i | −0.675007 | − | 0.966508i | ||||
\(123\) | −8.85059 | + | 7.08142i | −0.798031 | + | 0.638510i | ||||
\(124\) | 0.490525 | − | 1.33758i | 0.0440504 | − | 0.120118i | ||||
\(125\) | 8.74114i | 0.781832i | ||||||||
\(126\) | 7.49072 | + | 8.35997i | 0.667327 | + | 0.744765i | ||||
\(127\) | − | 11.0210i | − | 0.977951i | −0.872297 | − | 0.488976i | \(-0.837371\pi\) | ||
0.872297 | − | 0.488976i | \(-0.162629\pi\) | |||||||
\(128\) | 4.86845 | − | 10.2126i | 0.430315 | − | 0.902679i | ||||
\(129\) | −0.264357 | − | 1.73496i | −0.0232754 | − | 0.152755i | ||||
\(130\) | −11.5740 | + | 8.08322i | −1.01510 | + | 0.708945i | ||||
\(131\) | 1.13765 | + | 1.97046i | 0.0993966 | + | 0.172160i | 0.911435 | − | 0.411444i | \(-0.134975\pi\) |
−0.812038 | + | 0.583604i | \(0.801642\pi\) | |||||||
\(132\) | 6.13094 | + | 18.2977i | 0.533629 | + | 1.59261i | ||||
\(133\) | 7.56561 | − | 2.69453i | 0.656022 | − | 0.233645i | ||||
\(134\) | −5.13813 | − | 7.35703i | −0.443867 | − | 0.635550i | ||||
\(135\) | −7.46466 | + | 11.0629i | −0.642456 | + | 0.952145i | ||||
\(136\) | 6.09998 | + | 6.14464i | 0.523069 | + | 0.526898i | ||||
\(137\) | 4.55094 | − | 7.88247i | 0.388813 | − | 0.673445i | −0.603477 | − | 0.797381i | \(-0.706218\pi\) |
0.992290 | + | 0.123936i | \(0.0395517\pi\) | |||||||
\(138\) | −7.60747 | − | 7.99033i | −0.647591 | − | 0.680182i | ||||
\(139\) | 5.95136 | − | 10.3081i | 0.504788 | − | 0.874318i | −0.495197 | − | 0.868781i | \(-0.664904\pi\) |
0.999985 | − | 0.00553705i | \(-0.00176251\pi\) | |||||||
\(140\) | 6.90508 | − | 11.7058i | 0.583586 | − | 0.989322i | ||||
\(141\) | −0.235894 | + | 0.603901i | −0.0198658 | + | 0.0508576i | ||||
\(142\) | −9.74408 | − | 13.9520i | −0.817705 | − | 1.17083i | ||||
\(143\) | −10.8256 | − | 18.7505i | −0.905281 | − | 1.56799i | ||||
\(144\) | 1.47252 | + | 11.9093i | 0.122710 | + | 0.992443i | ||||
\(145\) | 12.9599 | + | 7.48242i | 1.07626 | + | 0.621381i | ||||
\(146\) | 9.59502 | − | 20.5115i | 0.794089 | − | 1.69754i | ||||
\(147\) | 11.8537 | + | 2.54754i | 0.977676 | + | 0.210117i | ||||
\(148\) | −8.11890 | − | 9.72363i | −0.667369 | − | 0.799278i | ||||
\(149\) | 11.2762 | + | 19.5309i | 0.923778 | + | 1.60003i | 0.793514 | + | 0.608552i | \(0.208249\pi\) |
0.130264 | + | 0.991479i | \(0.458417\pi\) | |||||||
\(150\) | 3.75174 | + | 1.10463i | 0.306328 | + | 0.0901927i | ||||
\(151\) | 5.17264 | + | 2.98642i | 0.420943 | + | 0.243032i | 0.695481 | − | 0.718545i | \(-0.255191\pi\) |
−0.274538 | + | 0.961576i | \(0.588525\pi\) | |||||||
\(152\) | 8.28493 | + | 2.25235i | 0.671996 | + | 0.182690i | ||||
\(153\) | −8.95980 | − | 2.01472i | −0.724357 | − | 0.162881i | ||||
\(154\) | 16.9763 | + | 12.0939i | 1.36799 | + | 0.974556i | ||||
\(155\) | 1.58446 | − | 0.914789i | 0.127267 | − | 0.0734777i | ||||
\(156\) | −4.27748 | − | 12.7661i | −0.342472 | − | 1.02210i | ||||
\(157\) | − | 1.14569i | − | 0.0914364i | −0.998954 | − | 0.0457182i | \(-0.985442\pi\) | ||
0.998954 | − | 0.0457182i | \(-0.0145576\pi\) | |||||||
\(158\) | −5.62043 | − | 8.04760i | −0.447137 | − | 0.640233i | ||||
\(159\) | −6.86265 | + | 1.04567i | −0.544243 | + | 0.0829267i | ||||
\(160\) | 13.2049 | − | 6.06009i | 1.04394 | − | 0.479092i | ||||
\(161\) | −11.7210 | − | 2.15044i | −0.923742 | − | 0.169478i | ||||
\(162\) | −8.11044 | − | 9.80921i | −0.637217 | − | 0.770685i | ||||
\(163\) | 2.38087 | + | 1.37460i | 0.186484 | + | 0.107667i | 0.590336 | − | 0.807158i | \(-0.298995\pi\) |
−0.403852 | + | 0.914825i | \(0.632329\pi\) | |||||||
\(164\) | −10.0467 | + | 8.38866i | −0.784516 | + | 0.655044i | ||||
\(165\) | −9.01670 | + | 23.0832i | −0.701949 | + | 1.79703i | ||||
\(166\) | −12.5522 | − | 5.87175i | −0.974236 | − | 0.455736i | ||||
\(167\) | 4.44178 | − | 7.69338i | 0.343715 | − | 0.595332i | −0.641404 | − | 0.767203i | \(-0.721648\pi\) |
0.985119 | + | 0.171871i | \(0.0549812\pi\) | |||||||
\(168\) | 8.84934 | + | 9.47044i | 0.682741 | + | 0.730660i | ||||
\(169\) | 1.05288 | + | 1.82364i | 0.0809908 | + | 0.140280i | ||||
\(170\) | 0.955618 | + | 11.0778i | 0.0732925 | + | 0.849631i | ||||
\(171\) | −8.69319 | + | 2.71214i | −0.664785 | + | 0.207403i | ||||
\(172\) | −0.347043 | − | 1.99655i | −0.0264618 | − | 0.152235i | ||||
\(173\) | 10.9273i | 0.830788i | 0.909642 | + | 0.415394i | \(0.136356\pi\) | ||||
−0.909642 | + | 0.415394i | \(0.863644\pi\) | |||||||
\(174\) | −10.3364 | + | 9.84117i | −0.783604 | + | 0.746057i | ||||
\(175\) | 3.97948 | − | 1.41731i | 0.300821 | − | 0.107139i | ||||
\(176\) | 7.51928 | + | 20.9758i | 0.566787 | + | 1.58111i | ||||
\(177\) | 3.97837 | − | 10.1849i | 0.299033 | − | 0.765541i | ||||
\(178\) | −3.28982 | + | 0.283793i | −0.246583 | + | 0.0212712i | ||||
\(179\) | −10.2820 | + | 5.93630i | −0.768511 | + | 0.443700i | −0.832343 | − | 0.554261i | \(-0.813001\pi\) |
0.0638324 | + | 0.997961i | \(0.479668\pi\) | |||||||
\(180\) | −8.35067 | + | 12.9517i | −0.622423 | + | 0.965360i | ||||
\(181\) | − | 19.2790i | − | 1.43300i | −0.697589 | − | 0.716498i | \(-0.745744\pi\) | ||
0.697589 | − | 0.716498i | \(-0.254256\pi\) | |||||||
\(182\) | −11.8442 | − | 8.43778i | −0.877949 | − | 0.625450i | ||||
\(183\) | 14.8546 | + | 5.80246i | 1.09809 | + | 0.428930i | ||||
\(184\) | −8.97520 | − | 9.04090i | −0.661660 | − | 0.666504i | ||||
\(185\) | − | 16.2676i | − | 1.19602i | ||||||
\(186\) | 0.410114 | + | 1.69600i | 0.0300710 | + | 0.124357i | ||||
\(187\) | −17.0529 | −1.24703 | ||||||||
\(188\) | −0.257758 | + | 0.702863i | −0.0187989 | + | 0.0512616i | ||||
\(189\) | −13.3155 | − | 3.42025i | −0.968558 | − | 0.248787i | ||||
\(190\) | 6.31307 | + | 9.03936i | 0.457998 | + | 0.655784i | ||||
\(191\) | − | 19.2424i | − | 1.39233i | −0.717882 | − | 0.696164i | \(-0.754888\pi\) | ||
0.717882 | − | 0.696164i | \(-0.245112\pi\) | |||||||
\(192\) | 1.98726 | + | 13.7132i | 0.143418 | + | 0.989662i | ||||
\(193\) | −10.5865 | −0.762035 | −0.381017 | − | 0.924568i | \(-0.624426\pi\) | ||||
−0.381017 | + | 0.924568i | \(0.624426\pi\) | |||||||
\(194\) | 2.15021 | − | 4.59655i | 0.154376 | − | 0.330013i | ||||
\(195\) | 6.29084 | − | 16.1049i | 0.450496 | − | 1.15330i | ||||
\(196\) | 13.7459 | + | 2.65503i | 0.981853 | + | 0.189645i | ||||
\(197\) | −20.7335 | −1.47720 | −0.738600 | − | 0.674144i | \(-0.764513\pi\) | ||||
−0.738600 | + | 0.674144i | \(0.764513\pi\) | |||||||
\(198\) | −18.6894 | − | 14.4670i | −1.32820 | − | 1.02813i | ||||
\(199\) | −8.54532 | − | 14.8009i | −0.605762 | − | 1.04921i | −0.991931 | − | 0.126782i | \(-0.959535\pi\) |
0.386169 | − | 0.922428i | \(-0.373798\pi\) | |||||||
\(200\) | 4.35784 | + | 1.18473i | 0.308146 | + | 0.0837730i | ||||
\(201\) | 10.2371 | + | 3.99880i | 0.722072 | + | 0.282053i | ||||
\(202\) | 6.73678 | − | 0.581142i | 0.473998 | − | 0.0408890i | ||||
\(203\) | −2.78185 | + | 15.1625i | −0.195248 | + | 1.06420i | ||||
\(204\) | −10.3922 | − | 2.10974i | −0.727602 | − | 0.147711i | ||||
\(205\) | −16.8081 | −1.17393 | ||||||||
\(206\) | 10.2256 | + | 4.78342i | 0.712452 | + | 0.333277i | ||||
\(207\) | 13.1830 | + | 2.96436i | 0.916281 | + | 0.206037i | ||||
\(208\) | −5.24611 | − | 14.6346i | −0.363752 | − | 1.01472i | ||||
\(209\) | −14.6443 | + | 8.45489i | −1.01297 | + | 0.584837i | ||||
\(210\) | 0.928434 | + | 16.6192i | 0.0640680 | + | 1.14683i | ||||
\(211\) | −15.2397 | − | 8.79863i | −1.04914 | − | 0.605723i | −0.126734 | − | 0.991937i | \(-0.540449\pi\) |
−0.922409 | + | 0.386214i | \(0.873783\pi\) | |||||||
\(212\) | −7.89735 | + | 1.37273i | −0.542392 | + | 0.0942793i | ||||
\(213\) | 19.4140 | + | 7.58341i | 1.33022 | + | 0.519607i | ||||
\(214\) | −13.4504 | + | 1.16029i | −0.919452 | + | 0.0793156i | ||||
\(215\) | 1.30120 | − | 2.25375i | 0.0887413 | − | 0.153704i | ||||
\(216\) | −9.59974 | − | 11.1286i | −0.653179 | − | 0.757203i | ||||
\(217\) | 1.43534 | + | 1.22141i | 0.0974369 | + | 0.0829148i | ||||
\(218\) | 15.5726 | + | 7.28470i | 1.05471 | + | 0.493382i | ||||
\(219\) | 4.17763 | + | 27.4176i | 0.282298 | + | 1.85271i | ||||
\(220\) | −9.85244 | + | 26.8659i | −0.664251 | + | 1.81130i | ||||
\(221\) | 11.8976 | 0.800319 | ||||||||
\(222\) | 14.8828 | + | 4.38195i | 0.998866 | + | 0.294098i | ||||
\(223\) | 6.65202 | + | 11.5216i | 0.445452 | + | 0.771546i | 0.998084 | − | 0.0618796i | \(-0.0197095\pi\) |
−0.552631 | + | 0.833426i | \(0.686376\pi\) | |||||||
\(224\) | 10.4446 | + | 10.7196i | 0.697858 | + | 0.716237i | ||||
\(225\) | −4.57258 | + | 1.42658i | −0.304839 | + | 0.0951050i | ||||
\(226\) | 0.541009 | + | 6.27156i | 0.0359874 | + | 0.417178i | ||||
\(227\) | 0.464516 | − | 0.804566i | 0.0308310 | − | 0.0534009i | −0.850198 | − | 0.526463i | \(-0.823518\pi\) |
0.881029 | + | 0.473062i | \(0.156851\pi\) | |||||||
\(228\) | −9.97041 | + | 3.34075i | −0.660307 | + | 0.221247i | ||||
\(229\) | −3.43576 | + | 1.98364i | −0.227042 | + | 0.131083i | −0.609207 | − | 0.793012i | \(-0.708512\pi\) |
0.382165 | + | 0.924094i | \(0.375179\pi\) | |||||||
\(230\) | −1.40605 | − | 16.2994i | −0.0927120 | − | 1.07475i | ||||
\(231\) | −25.5165 | − | 0.771950i | −1.67886 | − | 0.0507906i | ||||
\(232\) | −11.6955 | + | 11.6105i | −0.767846 | + | 0.762266i | ||||
\(233\) | 11.9029 | − | 20.6164i | 0.779785 | − | 1.35063i | −0.152280 | − | 0.988337i | \(-0.548662\pi\) |
0.932065 | − | 0.362290i | \(-0.118005\pi\) | |||||||
\(234\) | 13.0394 | + | 10.0935i | 0.852412 | + | 0.659830i | ||||
\(235\) | −0.832593 | + | 0.480698i | −0.0543124 | + | 0.0313573i | ||||
\(236\) | 4.34712 | − | 11.8539i | 0.282973 | − | 0.771621i | ||||
\(237\) | 11.1981 | + | 4.37415i | 0.727392 | + | 0.284131i | ||||
\(238\) | −10.4198 | + | 4.75602i | −0.675413 | + | 0.308287i | ||||
\(239\) | −6.99639 | − | 4.03937i | −0.452559 | − | 0.261285i | 0.256351 | − | 0.966584i | \(-0.417480\pi\) |
−0.708910 | + | 0.705299i | \(0.750813\pi\) | |||||||
\(240\) | −9.32797 | + | 15.1535i | −0.602118 | + | 0.978154i | ||||
\(241\) | −17.5457 | − | 10.1300i | −1.13022 | − | 0.652531i | −0.186227 | − | 0.982507i | \(-0.559626\pi\) |
−0.943989 | + | 0.329976i | \(0.892959\pi\) | |||||||
\(242\) | −25.6617 | − | 12.0042i | −1.64960 | − | 0.771662i | ||||
\(243\) | 14.9324 | + | 4.47487i | 0.957912 | + | 0.287063i | ||||
\(244\) | 17.2889 | + | 6.34028i | 1.10681 | + | 0.405895i | ||||
\(245\) | 11.3649 | + | 13.9311i | 0.726074 | + | 0.890026i | ||||
\(246\) | 4.52755 | − | 15.3773i | 0.288666 | − | 0.980419i | ||||
\(247\) | 10.2171 | − | 5.89887i | 0.650101 | − | 0.375336i | ||||
\(248\) | 0.514371 | + | 1.94805i | 0.0326626 | + | 0.123701i | ||||
\(249\) | 16.7784 | − | 2.55654i | 1.06329 | − | 0.162014i | ||||
\(250\) | −7.07815 | − | 10.1348i | −0.447661 | − | 0.640984i | ||||
\(251\) | 1.78038 | 0.112376 | 0.0561881 | − | 0.998420i | \(-0.482105\pi\) | ||||
0.0561881 | + | 0.998420i | \(0.482105\pi\) | |||||||
\(252\) | −15.4545 | − | 3.62727i | −0.973545 | − | 0.228497i | ||||
\(253\) | 25.0908 | 1.57744 | ||||||||
\(254\) | 8.92422 | + | 12.7781i | 0.559956 | + | 0.801772i | ||||
\(255\) | −8.50774 | − | 10.6332i | −0.532775 | − | 0.665880i | ||||
\(256\) | 2.62501 | + | 15.7832i | 0.164063 | + | 0.986450i | ||||
\(257\) | −9.99678 | + | 5.77165i | −0.623582 | + | 0.360025i | −0.778262 | − | 0.627939i | \(-0.783899\pi\) |
0.154680 | + | 0.987965i | \(0.450565\pi\) | |||||||
\(258\) | 1.71139 | + | 1.79752i | 0.106547 | + | 0.111909i | ||||
\(259\) | 15.7862 | − | 5.62233i | 0.980907 | − | 0.349355i | ||||
\(260\) | 6.87392 | − | 18.7440i | 0.426303 | − | 1.16246i | ||||
\(261\) | 3.83475 | − | 17.0538i | 0.237365 | − | 1.05560i | ||||
\(262\) | −2.91462 | − | 1.36342i | −0.180066 | − | 0.0842326i | ||||
\(263\) | 11.8720 | + | 6.85430i | 0.732059 | + | 0.422654i | 0.819175 | − | 0.573544i | \(-0.194432\pi\) |
−0.0871162 | + | 0.996198i | \(0.527765\pi\) | |||||||
\(264\) | −21.9250 | − | 16.2505i | −1.34939 | − | 1.00015i | ||||
\(265\) | −8.91471 | − | 5.14691i | −0.547626 | − | 0.316172i | ||||
\(266\) | −6.58998 | + | 9.25041i | −0.404058 | + | 0.567179i | ||||
\(267\) | 3.15779 | − | 2.52657i | 0.193254 | − | 0.154624i | ||||
\(268\) | 11.9147 | + | 4.36943i | 0.727807 | + | 0.266906i | ||||
\(269\) | 0.384540 | − | 0.222014i | 0.0234458 | − | 0.0135364i | −0.488231 | − | 0.872714i | \(-0.662358\pi\) |
0.511677 | + | 0.859178i | \(0.329024\pi\) | |||||||
\(270\) | −0.303383 | − | 18.8713i | −0.0184633 | − | 1.14847i | ||||
\(271\) | −1.81389 | + | 3.14175i | −0.110186 | + | 0.190848i | −0.915845 | − | 0.401532i | \(-0.868478\pi\) |
0.805659 | + | 0.592379i | \(0.201811\pi\) | |||||||
\(272\) | −12.0482 | − | 2.18488i | −0.730529 | − | 0.132478i | ||||
\(273\) | 17.8026 | + | 0.538580i | 1.07746 | + | 0.0325963i | ||||
\(274\) | 1.10628 | + | 12.8244i | 0.0668330 | + | 0.774750i | ||||
\(275\) | −7.70284 | + | 4.44724i | −0.464499 | + | 0.268178i | ||||
\(276\) | 15.2906 | + | 3.10416i | 0.920386 | + | 0.186849i | ||||
\(277\) | 1.82235 | − | 3.15639i | 0.109494 | − | 0.189649i | −0.806071 | − | 0.591818i | \(-0.798410\pi\) |
0.915565 | + | 0.402169i | \(0.131744\pi\) | |||||||
\(278\) | 1.44671 | + | 16.7707i | 0.0867677 | + | 1.00584i | ||||
\(279\) | −1.57122 | − | 1.44850i | −0.0940665 | − | 0.0867197i | ||||
\(280\) | 1.47276 | + | 19.1636i | 0.0880144 | + | 1.14524i | ||||
\(281\) | −9.22049 | − | 15.9704i | −0.550049 | − | 0.952712i | −0.998270 | − | 0.0587897i | \(-0.981276\pi\) |
0.448222 | − | 0.893922i | \(-0.352057\pi\) | |||||||
\(282\) | −0.215504 | − | 0.891202i | −0.0128331 | − | 0.0530703i | ||||
\(283\) | 32.2782 | 1.91874 | 0.959369 | − | 0.282153i | \(-0.0910487\pi\) | ||||
0.959369 | + | 0.282153i | \(0.0910487\pi\) | |||||||
\(284\) | 22.5954 | + | 8.28630i | 1.34079 | + | 0.491702i | ||||
\(285\) | −12.5781 | − | 4.91320i | −0.745061 | − | 0.291033i | ||||
\(286\) | 27.7348 | + | 12.9740i | 1.64000 | + | 0.767171i | ||||
\(287\) | −5.80914 | − | 16.3107i | −0.342903 | − | 0.962791i | ||||
\(288\) | −11.3509 | − | 12.6158i | −0.668857 | − | 0.743391i | ||||
\(289\) | −3.81460 | + | 6.60709i | −0.224388 | + | 0.388652i | ||||
\(290\) | −21.0852 | + | 1.81889i | −1.23816 | + | 0.106809i | ||||
\(291\) | 0.936193 | + | 6.14418i | 0.0548806 | + | 0.360178i | ||||
\(292\) | 5.48431 | + | 31.5514i | 0.320945 | + | 1.84641i | ||||
\(293\) | 8.82787 | + | 5.09677i | 0.515730 | + | 0.297757i | 0.735186 | − | 0.677866i | \(-0.237095\pi\) |
−0.219456 | + | 0.975622i | \(0.570428\pi\) | |||||||
\(294\) | −15.8065 | + | 6.64482i | −0.921856 | + | 0.387534i | ||||
\(295\) | 14.0418 | − | 8.10703i | 0.817544 | − | 0.472010i | ||||
\(296\) | 17.2871 | + | 4.69970i | 1.00479 | + | 0.273164i | ||||
\(297\) | 28.8754 | + | 2.02389i | 1.67552 | + | 0.117438i | ||||
\(298\) | −28.8892 | − | 13.5140i | −1.67350 | − | 0.782846i | ||||
\(299\) | −17.5055 | −1.01237 | ||||||||
\(300\) | −5.24440 | + | 1.75722i | −0.302785 | + | 0.101453i | ||||
\(301\) | 2.63678 | + | 0.483768i | 0.151981 | + | 0.0278839i | ||||
\(302\) | −8.41563 | + | 0.725965i | −0.484265 | + | 0.0417746i | ||||
\(303\) | −6.46641 | + | 5.17383i | −0.371486 | + | 0.297229i | ||||
\(304\) | −11.4297 | + | 4.09726i | −0.655540 | + | 0.234994i | ||||
\(305\) | 11.8241 | + | 20.4800i | 0.677047 | + | 1.17268i | ||||
\(306\) | 12.0198 | − | 4.91925i | 0.687125 | − | 0.281215i | ||||
\(307\) | −25.7276 | −1.46835 | −0.734175 | − | 0.678960i | \(-0.762431\pi\) | ||||
−0.734175 | + | 0.678960i | \(0.762431\pi\) | |||||||
\(308\) | −29.4761 | − | 0.275596i | −1.67956 | − | 0.0157036i | ||||
\(309\) | −13.6685 | + | 2.08268i | −0.777576 | + | 0.118480i | ||||
\(310\) | −1.09634 | + | 2.34366i | −0.0622678 | + | 0.133111i | ||||
\(311\) | −5.20808 | −0.295323 | −0.147661 | − | 0.989038i | \(-0.547175\pi\) | ||||
−0.147661 | + | 0.989038i | \(0.547175\pi\) | |||||||
\(312\) | 15.2968 | + | 11.3378i | 0.866011 | + | 0.641877i | ||||
\(313\) | 4.08044i | 0.230640i | 0.993328 | + | 0.115320i | \(0.0367894\pi\) | ||||
−0.993328 | + | 0.115320i | \(0.963211\pi\) | |||||||
\(314\) | 0.927727 | + | 1.32837i | 0.0523547 | + | 0.0749640i | ||||
\(315\) | −12.2489 | − | 16.2958i | −0.690148 | − | 0.918165i | ||||
\(316\) | 13.0331 | + | 4.77958i | 0.733170 | + | 0.268872i | ||||
\(317\) | 0.637548 | 0.0358083 | 0.0179041 | − | 0.999840i | \(-0.494301\pi\) | ||||
0.0179041 | + | 0.999840i | \(0.494301\pi\) | |||||||
\(318\) | 7.11011 | − | 6.76942i | 0.398715 | − | 0.379610i | ||||
\(319\) | − | 32.4579i | − | 1.81729i | ||||||
\(320\) | −10.4031 | + | 17.7190i | −0.581550 | + | 0.990520i | ||||
\(321\) | 12.9106 | − | 10.3299i | 0.720600 | − | 0.576558i | ||||
\(322\) | 15.3311 | − | 6.99776i | 0.854368 | − | 0.389970i | ||||
\(323\) | − | 9.29214i | − | 0.517028i | ||||||
\(324\) | 17.3466 | + | 4.80577i | 0.963700 | + | 0.266987i | ||||
\(325\) | 5.37418 | − | 3.10278i | 0.298106 | − | 0.172111i | ||||
\(326\) | −3.87356 | + | 0.334148i | −0.214536 | + | 0.0185068i | ||||
\(327\) | −20.8159 | + | 3.17173i | −1.15112 | + | 0.175397i | ||||
\(328\) | 4.85585 | − | 17.8615i | 0.268120 | − | 0.986236i | ||||
\(329\) | −0.754231 | − | 0.641819i | −0.0415821 | − | 0.0353847i | ||||
\(330\) | −8.23735 | − | 34.0649i | −0.453451 | − | 1.87521i | ||||
\(331\) | − | 0.792614i | − | 0.0435660i | −0.999763 | − | 0.0217830i | \(-0.993066\pi\) | ||
0.999763 | − | 0.0217830i | \(-0.00693429\pi\) | |||||||
\(332\) | 19.3081 | − | 3.35617i | 1.05967 | − | 0.184194i | ||||
\(333\) | −18.1390 | + | 5.65908i | −0.994009 | + | 0.310116i | ||||
\(334\) | 1.07974 | + | 12.5168i | 0.0590810 | + | 0.684887i | ||||
\(335\) | 8.14865 | + | 14.1139i | 0.445208 | + | 0.771123i | ||||
\(336\) | −17.9290 | − | 3.81466i | −0.978106 | − | 0.208107i | ||||
\(337\) | 10.3481 | − | 17.9234i | 0.563697 | − | 0.976351i | −0.433473 | − | 0.901167i | \(-0.642712\pi\) |
0.997170 | − | 0.0751846i | \(-0.0239546\pi\) | |||||||
\(338\) | −2.69745 | − | 1.26184i | −0.146722 | − | 0.0686348i | ||||
\(339\) | −4.81653 | − | 6.01986i | −0.261598 | − | 0.326954i | ||||
\(340\) | −10.0783 | − | 12.0703i | −0.546571 | − | 0.654603i | ||||
\(341\) | −3.43661 | − | 1.98413i | −0.186103 | − | 0.107447i | ||||
\(342\) | 7.88308 | − | 10.1839i | 0.426268 | − | 0.550681i | ||||
\(343\) | −9.59101 | + | 15.8434i | −0.517866 | + | 0.855462i | ||||
\(344\) | 2.01908 | + | 2.03386i | 0.108862 | + | 0.109658i | ||||
\(345\) | 12.5178 | + | 15.6452i | 0.673938 | + | 0.842310i | ||||
\(346\) | −8.84839 | − | 12.6696i | −0.475693 | − | 0.681120i | ||||
\(347\) | − | 25.5636i | − | 1.37233i | −0.727448 | − | 0.686163i | \(-0.759294\pi\) | ||
0.727448 | − | 0.686163i | \(-0.240706\pi\) | |||||||
\(348\) | 4.01561 | − | 19.7802i | 0.215259 | − | 1.06033i | ||||
\(349\) | −1.57229 | + | 0.907760i | −0.0841626 | + | 0.0485913i | −0.541491 | − | 0.840707i | \(-0.682140\pi\) |
0.457328 | + | 0.889298i | \(0.348807\pi\) | |||||||
\(350\) | −3.46631 | + | 4.86568i | −0.185282 | + | 0.260081i | ||||
\(351\) | −20.1460 | − | 1.41204i | −1.07531 | − | 0.0753691i | ||||
\(352\) | −25.7033 | − | 18.2315i | −1.36999 | − | 0.971741i | ||||
\(353\) | −22.4290 | − | 12.9494i | −1.19377 | − | 0.689226i | −0.234614 | − | 0.972089i | \(-0.575383\pi\) |
−0.959160 | + | 0.282863i | \(0.908716\pi\) | |||||||
\(354\) | 3.63451 | + | 15.0302i | 0.193172 | + | 0.798848i | ||||
\(355\) | 15.4533 | + | 26.7659i | 0.820176 | + | 1.42059i | ||||
\(356\) | 3.58456 | − | 2.99298i | 0.189981 | − | 0.158628i | ||||
\(357\) | 7.37819 | − | 11.9310i | 0.390495 | − | 0.631456i | ||||
\(358\) | 7.11442 | − | 15.2086i | 0.376009 | − | 0.803801i | ||||
\(359\) | −2.34262 | − | 1.35251i | −0.123639 | − | 0.0713828i | 0.436905 | − | 0.899508i | \(-0.356075\pi\) |
−0.560544 | + | 0.828125i | \(0.689408\pi\) | |||||||
\(360\) | −0.805507 | − | 21.7787i | −0.0424539 | − | 1.14784i | ||||
\(361\) | 4.89293 | + | 8.47480i | 0.257523 | + | 0.446042i | ||||
\(362\) | 15.6112 | + | 22.3529i | 0.820506 | + | 1.17484i | ||||
\(363\) | 34.3019 | − | 5.22660i | 1.80038 | − | 0.274325i | ||||
\(364\) | 20.5651 | + | 0.192280i | 1.07791 | + | 0.0100782i | ||||
\(365\) | −20.5629 | + | 35.6160i | −1.07631 | + | 1.86422i | ||||
\(366\) | −21.9216 | + | 5.30093i | −1.14586 | + | 0.277084i | ||||
\(367\) | 3.40486 | − | 5.89740i | 0.177732 | − | 0.307842i | −0.763371 | − | 0.645960i | \(-0.776457\pi\) |
0.941104 | + | 0.338119i | \(0.109791\pi\) | |||||||
\(368\) | 17.7271 | + | 3.21471i | 0.924088 | + | 0.167579i | ||||
\(369\) | 5.84711 | + | 18.7417i | 0.304388 | + | 0.975652i | ||||
\(370\) | 13.1727 | + | 18.8613i | 0.684815 | + | 0.980552i | ||||
\(371\) | 1.91354 | − | 10.4298i | 0.0993463 | − | 0.541487i | ||||
\(372\) | −1.84884 | − | 1.63432i | −0.0958578 | − | 0.0847354i | ||||
\(373\) | −16.7574 | − | 29.0246i | −0.867663 | − | 1.50284i | −0.864378 | − | 0.502843i | \(-0.832288\pi\) |
−0.00328544 | − | 0.999995i | \(-0.501046\pi\) | |||||||
\(374\) | 19.7718 | − | 13.8086i | 1.02238 | − | 0.714026i | ||||
\(375\) | 14.1024 | + | 5.50863i | 0.728245 | + | 0.284465i | ||||
\(376\) | −0.270289 | − | 1.02365i | −0.0139391 | − | 0.0527906i | ||||
\(377\) | 22.6455i | 1.16630i | ||||||||
\(378\) | 18.2081 | − | 6.81664i | 0.936522 | − | 0.350610i | ||||
\(379\) | − | 9.31826i | − | 0.478647i | −0.970940 | − | 0.239323i | \(-0.923074\pi\) | ||
0.970940 | − | 0.239323i | \(-0.0769256\pi\) | |||||||
\(380\) | −14.6393 | − | 5.36860i | −0.750978 | − | 0.275403i | ||||
\(381\) | −17.7805 | − | 6.94536i | −0.910922 | − | 0.355821i | ||||
\(382\) | 15.5815 | + | 22.3104i | 0.797220 | + | 1.14150i | ||||
\(383\) | −0.928250 | − | 1.60778i | −0.0474314 | − | 0.0821535i | 0.841335 | − | 0.540514i | \(-0.181770\pi\) |
−0.888766 | + | 0.458360i | \(0.848437\pi\) | |||||||
\(384\) | −13.4084 | − | 14.2904i | −0.684242 | − | 0.729255i | ||||
\(385\) | −28.8294 | − | 24.5326i | −1.46928 | − | 1.25030i | ||||
\(386\) | 12.2744 | − | 8.57245i | 0.624753 | − | 0.436326i | ||||
\(387\) | −2.96567 | − | 0.666869i | −0.150754 | − | 0.0338989i | ||||
\(388\) | 1.22901 | + | 7.07056i | 0.0623937 | + | 0.358953i | ||||
\(389\) | 6.66174 | − | 11.5385i | 0.337764 | − | 0.585024i | −0.646248 | − | 0.763127i | \(-0.723663\pi\) |
0.984012 | + | 0.178104i | \(0.0569962\pi\) | |||||||
\(390\) | 5.74709 | + | 23.7667i | 0.291015 | + | 1.20347i | ||||
\(391\) | −6.89385 | + | 11.9405i | −0.348637 | + | 0.603857i | ||||
\(392\) | −18.0875 | + | 8.05243i | −0.913558 | + | 0.406709i | ||||
\(393\) | 3.89596 | − | 0.593629i | 0.196525 | − | 0.0299446i | ||||
\(394\) | 24.0393 | − | 16.7890i | 1.21108 | − | 0.845816i | ||||
\(395\) | 8.91353 | + | 15.4387i | 0.448488 | + | 0.776804i | ||||
\(396\) | 33.3840 | + | 1.63986i | 1.67761 | + | 0.0824061i | ||||
\(397\) | −8.02033 | − | 4.63054i | −0.402529 | − | 0.232400i | 0.285046 | − | 0.958514i | \(-0.407991\pi\) |
−0.687575 | + | 0.726114i | \(0.741325\pi\) | |||||||
\(398\) | 21.8929 | + | 10.2412i | 1.09739 | + | 0.513346i | ||||
\(399\) | 0.420636 | − | 13.9040i | 0.0210581 | − | 0.696068i | ||||
\(400\) | −6.01199 | + | 2.15514i | −0.300600 | + | 0.107757i | ||||
\(401\) | 4.92359 | + | 8.52790i | 0.245872 | + | 0.425863i | 0.962376 | − | 0.271720i | \(-0.0875923\pi\) |
−0.716504 | + | 0.697583i | \(0.754259\pi\) | |||||||
\(402\) | −15.1074 | + | 3.65316i | −0.753488 | + | 0.182203i | ||||
\(403\) | 2.39768 | + | 1.38430i | 0.119437 | + | 0.0689570i | ||||
\(404\) | −7.34032 | + | 6.12892i | −0.365195 | + | 0.304925i | ||||
\(405\) | 13.1440 | + | 19.0148i | 0.653132 | + | 0.944854i | ||||
\(406\) | −9.05244 | − | 19.8326i | −0.449265 | − | 0.984276i | ||||
\(407\) | −30.5564 | + | 17.6417i | −1.51462 | + | 0.874468i | ||||
\(408\) | 13.7575 | − | 5.96900i | 0.681100 | − | 0.295510i | ||||
\(409\) | 20.0274i | 0.990292i | 0.868810 | + | 0.495146i | \(0.164885\pi\) | ||||
−0.868810 | + | 0.495146i | \(0.835115\pi\) | |||||||
\(410\) | 19.4880 | − | 13.6104i | 0.962442 | − | 0.672167i | ||||
\(411\) | −9.84908 | − | 12.3097i | −0.485819 | − | 0.607193i | ||||
\(412\) | −15.7294 | + | 2.73410i | −0.774931 | + | 0.134700i | ||||
\(413\) | 12.7202 | + | 10.8244i | 0.625920 | + | 0.532632i | ||||
\(414\) | −17.6853 | + | 7.23793i | −0.869184 | + | 0.355725i | ||||
\(415\) | 21.7955 | + | 12.5836i | 1.06990 | + | 0.617706i | ||||
\(416\) | 17.9329 | + | 12.7199i | 0.879233 | + | 0.623643i | ||||
\(417\) | −12.8798 | − | 16.0976i | −0.630728 | − | 0.788304i | ||||
\(418\) | 10.1328 | − | 21.6612i | 0.495614 | − | 1.05948i | ||||
\(419\) | −15.0233 | + | 26.0211i | −0.733935 | + | 1.27121i | 0.221255 | + | 0.975216i | \(0.428985\pi\) |
−0.955189 | + | 0.295996i | \(0.904349\pi\) | |||||||
\(420\) | −14.5339 | − | 18.5172i | −0.709180 | − | 0.903545i | ||||
\(421\) | 4.68787 | + | 8.11963i | 0.228473 | + | 0.395727i | 0.957356 | − | 0.288912i | \(-0.0932934\pi\) |
−0.728883 | + | 0.684639i | \(0.759960\pi\) | |||||||
\(422\) | 24.7942 | − | 2.13885i | 1.20696 | − | 0.104117i | ||||
\(423\) | 0.825635 | + | 0.761151i | 0.0401438 | + | 0.0370084i | ||||
\(424\) | 8.04494 | − | 7.98648i | 0.390697 | − | 0.387858i | ||||
\(425\) | − | 4.88763i | − | 0.237085i | ||||||
\(426\) | −28.6500 | + | 6.92795i | −1.38810 | + | 0.335660i | ||||
\(427\) | −15.7873 | + | 18.5524i | −0.764003 | + | 0.897815i | ||||
\(428\) | 14.6554 | − | 12.2368i | 0.708397 | − | 0.591487i | ||||
\(429\) | −37.0731 | + | 5.64885i | −1.78990 | + | 0.272729i | ||||
\(430\) | 0.316307 | + | 3.66674i | 0.0152537 | + | 0.176826i | ||||
\(431\) | −11.7434 | + | 6.78007i | −0.565661 | + | 0.326584i | −0.755414 | − | 0.655247i | \(-0.772564\pi\) |
0.189754 | + | 0.981832i | \(0.439231\pi\) | |||||||
\(432\) | 20.1417 | + | 5.12953i | 0.969068 | + | 0.246794i | ||||
\(433\) | − | 28.8432i | − | 1.38611i | −0.720882 | − | 0.693057i | \(-0.756263\pi\) | ||
0.720882 | − | 0.693057i | \(-0.243737\pi\) | |||||||
\(434\) | −2.65323 | − | 0.253890i | −0.127359 | − | 0.0121871i | ||||
\(435\) | 20.2389 | − | 16.1933i | 0.970383 | − | 0.776411i | ||||
\(436\) | −23.9543 | + | 4.16378i | −1.14721 | + | 0.199409i | ||||
\(437\) | 13.6720i | 0.654019i | ||||||||
\(438\) | −27.0451 | − | 28.4062i | −1.29227 | − | 1.35730i | ||||
\(439\) | 14.4978 | 0.691944 | 0.345972 | − | 0.938245i | \(-0.387549\pi\) | ||||
0.345972 | + | 0.938245i | \(0.387549\pi\) | |||||||
\(440\) | −10.3314 | − | 39.1275i | −0.492530 | − | 1.86533i | ||||
\(441\) | 11.5802 | − | 17.5185i | 0.551437 | − | 0.834216i | ||||
\(442\) | −13.7946 | + | 9.63409i | −0.656141 | + | 0.458247i | ||||
\(443\) | − | 27.6886i | − | 1.31552i | −0.753226 | − | 0.657762i | \(-0.771503\pi\) | ||
0.753226 | − | 0.657762i | \(-0.228497\pi\) | |||||||
\(444\) | −20.8040 | + | 6.97071i | −0.987313 | + | 0.330815i | ||||
\(445\) | 5.99694 | 0.284282 | ||||||||
\(446\) | −17.0423 | − | 7.97218i | −0.806976 | − | 0.377494i | ||||
\(447\) | 38.6160 | − | 5.88395i | 1.82648 | − | 0.278301i | ||||
\(448\) | −20.7901 | − | 3.97129i | −0.982241 | − | 0.187626i | ||||
\(449\) | 5.91384 | 0.279091 | 0.139546 | − | 0.990216i | \(-0.455436\pi\) | ||||
0.139546 | + | 0.990216i | \(0.455436\pi\) | |||||||
\(450\) | 4.14647 | − | 5.35668i | 0.195466 | − | 0.252517i | ||||
\(451\) | 18.2279 | + | 31.5716i | 0.858318 | + | 1.48665i | ||||
\(452\) | −5.70567 | − | 6.83342i | −0.268372 | − | 0.321417i | ||||
\(453\) | 8.07788 | − | 6.46317i | 0.379532 | − | 0.303666i | ||||
\(454\) | 0.112919 | + | 1.30899i | 0.00529953 | + | 0.0614339i | ||||
\(455\) | 20.1139 | + | 17.1161i | 0.942956 | + | 0.802416i | ||||
\(456\) | 8.85493 | − | 11.9469i | 0.414670 | − | 0.559467i | ||||
\(457\) | 28.1559 | 1.31708 | 0.658539 | − | 0.752547i | \(-0.271175\pi\) | ||||
0.658539 | + | 0.752547i | \(0.271175\pi\) | |||||||
\(458\) | 2.37731 | − | 5.08203i | 0.111085 | − | 0.237467i | ||||
\(459\) | −8.89685 | + | 13.1855i | −0.415270 | + | 0.615446i | ||||
\(460\) | 14.8286 | + | 17.7596i | 0.691389 | + | 0.828045i | ||||
\(461\) | 17.0229 | − | 9.82816i | 0.792835 | − | 0.457743i | −0.0481250 | − | 0.998841i | \(-0.515325\pi\) |
0.840959 | + | 0.541098i | \(0.181991\pi\) | |||||||
\(462\) | 30.2100 | − | 19.7670i | 1.40550 | − | 0.919643i | ||||
\(463\) | −2.94753 | − | 1.70176i | −0.136983 | − | 0.0790873i | 0.429942 | − | 0.902856i | \(-0.358534\pi\) |
−0.566925 | + | 0.823769i | \(0.691867\pi\) | |||||||
\(464\) | 4.15862 | − | 22.9321i | 0.193059 | − | 1.06460i | ||||
\(465\) | −0.477342 | − | 3.13277i | −0.0221362 | − | 0.145279i | ||||
\(466\) | 2.89346 | + | 33.5419i | 0.134037 | + | 1.55380i | ||||
\(467\) | −13.9746 | + | 24.2047i | −0.646666 | + | 1.12006i | 0.337248 | + | 0.941416i | \(0.390504\pi\) |
−0.983914 | + | 0.178643i | \(0.942829\pi\) | |||||||
\(468\) | −23.2916 | − | 1.14411i | −1.07665 | − | 0.0528865i | ||||
\(469\) | −10.8799 | + | 12.7855i | −0.502388 | + | 0.590380i | ||||
\(470\) | 0.576097 | − | 1.23153i | 0.0265734 | − | 0.0568064i | ||||
\(471\) | −1.84839 | − | 0.722012i | −0.0851693 | − | 0.0332686i | ||||
\(472\) | 4.55845 | + | 17.2639i | 0.209820 | + | 0.794638i | ||||
\(473\) | −5.64448 | −0.259533 | ||||||||
\(474\) | −16.5255 | + | 3.99607i | −0.759039 | + | 0.183546i | ||||
\(475\) | −2.42330 | − | 4.19728i | −0.111189 | − | 0.192584i | ||||
\(476\) | 8.22991 | − | 13.9517i | 0.377217 | − | 0.639477i | ||||
\(477\) | −2.63780 | + | 11.7307i | −0.120777 | + | 0.537113i | ||||
\(478\) | 11.3828 | − | 0.981924i | 0.520636 | − | 0.0449121i | ||||
\(479\) | −11.7187 | + | 20.2975i | −0.535443 | + | 0.927415i | 0.463699 | + | 0.885993i | \(0.346522\pi\) |
−0.999142 | + | 0.0414216i | \(0.986811\pi\) | |||||||
\(480\) | −1.45532 | − | 25.1229i | −0.0664260 | − | 1.14670i | ||||
\(481\) | 21.3188 | − | 12.3084i | 0.972054 | − | 0.561216i | ||||
\(482\) | 28.5460 | − | 2.46249i | 1.30023 | − | 0.112163i | ||||
\(483\) | −10.8559 | + | 17.5547i | −0.493960 | + | 0.798765i | ||||
\(484\) | 39.4737 | − | 6.86137i | 1.79426 | − | 0.311880i | ||||
\(485\) | −4.60807 | + | 7.98141i | −0.209242 | + | 0.362417i | ||||
\(486\) | −20.9367 | + | 6.90315i | −0.949709 | + | 0.313133i | ||||
\(487\) | −17.8385 | + | 10.2991i | −0.808340 | + | 0.466695i | −0.846379 | − | 0.532581i | \(-0.821222\pi\) |
0.0380392 | + | 0.999276i | \(0.487889\pi\) | |||||||
\(488\) | −25.1795 | + | 6.64851i | −1.13982 | + | 0.300964i | ||||
\(489\) | 3.71810 | − | 2.97488i | 0.168138 | − | 0.134529i | ||||
\(490\) | −24.4576 | − | 6.94960i | −1.10488 | − | 0.313951i | ||||
\(491\) | 3.12221 | + | 1.80261i | 0.140903 | + | 0.0813506i | 0.568794 | − | 0.822480i | \(-0.307410\pi\) |
−0.427891 | + | 0.903830i | \(0.640743\pi\) | |||||||
\(492\) | 7.20232 | + | 21.4952i | 0.324706 | + | 0.969079i | ||||
\(493\) | 15.4465 | + | 8.91802i | 0.695674 | + | 0.401647i | ||||
\(494\) | −7.06956 | + | 15.1127i | −0.318074 | + | 0.679954i | ||||
\(495\) | 31.5588 | + | 29.0939i | 1.41846 | + | 1.30768i | ||||
\(496\) | −2.17382 | − | 1.84213i | −0.0976072 | − | 0.0827142i | ||||
\(497\) | −20.6330 | + | 24.2467i | −0.925515 | + | 1.08761i | ||||
\(498\) | −17.3834 | + | 16.5505i | −0.778970 | + | 0.741645i | ||||
\(499\) | 18.2668 | − | 10.5464i | 0.817735 | − | 0.472120i | −0.0318996 | − | 0.999491i | \(-0.510156\pi\) |
0.849635 | + | 0.527371i | \(0.176822\pi\) | |||||||
\(500\) | 16.4134 | + | 6.01922i | 0.734029 | + | 0.269187i | ||||
\(501\) | −9.61282 | − | 12.0144i | −0.429469 | − | 0.536765i | ||||
\(502\) | −2.06424 | + | 1.44166i | −0.0921315 | + | 0.0643444i | ||||
\(503\) | 14.3184 | 0.638426 | 0.319213 | − | 0.947683i | \(-0.396581\pi\) | ||||
0.319213 | + | 0.947683i | \(0.396581\pi\) | |||||||
\(504\) | 20.8558 | − | 8.30872i | 0.928992 | − | 0.370100i | ||||
\(505\) | −12.2803 | −0.546467 | ||||||||
\(506\) | −29.0913 | + | 20.3173i | −1.29326 | + | 0.903213i | ||||
\(507\) | 3.60567 | − | 0.549398i | 0.160133 | − | 0.0243996i | ||||
\(508\) | −20.6942 | − | 7.58911i | −0.918158 | − | 0.336712i | ||||
\(509\) | 9.28348 | − | 5.35982i | 0.411483 | − | 0.237570i | −0.279944 | − | 0.960016i | \(-0.590316\pi\) |
0.691427 | + | 0.722447i | \(0.256982\pi\) | |||||||
\(510\) | 18.4745 | + | 5.43947i | 0.818065 | + | 0.240864i | ||||
\(511\) | −41.6689 | − | 7.64497i | −1.84332 | − | 0.338194i | ||||
\(512\) | −15.8240 | − | 16.1741i | −0.699329 | − | 0.714800i | ||||
\(513\) | −1.10282 | + | 15.7342i | −0.0486905 | + | 0.694683i | ||||
\(514\) | 6.91709 | − | 14.7868i | 0.305100 | − | 0.652217i | ||||
\(515\) | −17.7557 | − | 10.2513i | −0.782409 | − | 0.451724i | ||||
\(516\) | −3.43981 | − | 0.698320i | −0.151429 | − | 0.0307418i | ||||
\(517\) | 1.80585 | + | 1.04261i | 0.0794212 | + | 0.0458538i | ||||
\(518\) | −13.7505 | + | 19.3016i | −0.604161 | + | 0.848066i | ||||
\(519\) | 17.6294 | + | 6.88634i | 0.773845 | + | 0.302277i | ||||
\(520\) | 7.20809 | + | 27.2988i | 0.316096 | + | 1.19713i | ||||
\(521\) | 4.42878 | − | 2.55696i | 0.194028 | − | 0.112022i | −0.399839 | − | 0.916586i | \(-0.630934\pi\) |
0.593867 | + | 0.804563i | \(0.297600\pi\) | |||||||
\(522\) | 9.36313 | + | 22.8780i | 0.409813 | + | 1.00134i | ||||
\(523\) | 21.0669 | − | 36.4890i | 0.921193 | − | 1.59555i | 0.123620 | − | 0.992330i | \(-0.460550\pi\) |
0.797573 | − | 0.603223i | \(-0.206117\pi\) | |||||||
\(524\) | 4.48336 | − | 0.779304i | 0.195856 | − | 0.0340440i | ||||
\(525\) | 0.221253 | − | 7.31343i | 0.00965626 | − | 0.319184i | ||||
\(526\) | −19.3152 | + | 1.66620i | −0.842181 | + | 0.0726498i | ||||
\(527\) | 1.88846 | − | 1.09030i | 0.0822627 | − | 0.0474944i | ||||
\(528\) | 38.5797 | + | 1.08775i | 1.67896 | + | 0.0473383i | ||||
\(529\) | −1.35675 | + | 2.34996i | −0.0589890 | + | 0.102172i | ||||
\(530\) | 14.5038 | − | 1.25115i | 0.630005 | − | 0.0543467i | ||||
\(531\) | −13.9244 | − | 12.8369i | −0.604269 | − | 0.557074i | ||||
\(532\) | 0.150173 | − | 16.0615i | 0.00651080 | − | 0.696357i | ||||
\(533\) | −12.7174 | − | 22.0271i | −0.550851 | − | 0.954102i | ||||
\(534\) | −1.61538 | + | 5.48644i | −0.0699043 | + | 0.237421i | ||||
\(535\) | 24.5184 | 1.06002 | ||||||||
\(536\) | −17.3526 | + | 4.58185i | −0.749517 | + | 0.197906i | ||||
\(537\) | 3.09759 | + | 20.3293i | 0.133671 | + | 0.877274i | ||||
\(538\) | −0.266075 | + | 0.568794i | −0.0114713 | + | 0.0245225i | ||||
\(539\) | 13.8428 | − | 36.4552i | 0.596251 | − | 1.57024i | ||||
\(540\) | 15.6328 | + | 21.6345i | 0.672730 | + | 0.931002i | ||||
\(541\) | 7.93311 | − | 13.7406i | 0.341071 | − | 0.590753i | −0.643561 | − | 0.765395i | \(-0.722544\pi\) |
0.984632 | + | 0.174642i | \(0.0558769\pi\) | |||||||
\(542\) | −0.440936 | − | 5.11148i | −0.0189398 | − | 0.219557i | ||||
\(543\) | −31.1035 | − | 12.1495i | −1.33478 | − | 0.521387i | ||||
\(544\) | 15.7384 | − | 7.22280i | 0.674777 | − | 0.309675i | ||||
\(545\) | −27.0402 | − | 15.6117i | −1.15828 | − | 0.668731i | ||||
\(546\) | −21.0771 | + | 13.7912i | −0.902018 | + | 0.590208i | ||||
\(547\) | 11.3942 | − | 6.57845i | 0.487182 | − | 0.281274i | −0.236223 | − | 0.971699i | \(-0.575910\pi\) |
0.723404 | + | 0.690424i | \(0.242576\pi\) | |||||||
\(548\) | −11.6672 | − | 13.9733i | −0.498399 | − | 0.596910i | ||||
\(549\) | 18.7226 | − | 20.3088i | 0.799063 | − | 0.866759i | ||||
\(550\) | 5.32984 | − | 11.3937i | 0.227265 | − | 0.485829i | ||||
\(551\) | 17.6863 | 0.753463 | ||||||||
\(552\) | −20.2421 | + | 8.78248i | −0.861563 | + | 0.373807i | ||||
\(553\) | −11.9012 | + | 13.9856i | −0.506090 | + | 0.594729i | ||||
\(554\) | 0.442991 | + | 5.13530i | 0.0188209 | + | 0.218178i | ||||
\(555\) | −26.2451 | − | 10.2518i | −1.11404 | − | 0.435163i | ||||
\(556\) | −15.2575 | − | 18.2732i | −0.647060 | − | 0.774955i | ||||
\(557\) | −8.64104 | − | 14.9667i | −0.366133 | − | 0.634160i | 0.622825 | − | 0.782361i | \(-0.285985\pi\) |
−0.988957 | + | 0.148201i | \(0.952652\pi\) | |||||||
\(558\) | 2.99466 | + | 0.407158i | 0.126774 | + | 0.0172364i | ||||
\(559\) | 3.93808 | 0.166563 | ||||||||
\(560\) | −17.2253 | − | 21.0265i | −0.727903 | − | 0.888531i | ||||
\(561\) | −10.7467 | + | 27.5121i | −0.453725 | + | 1.16156i | ||||
\(562\) | 23.6226 | + | 11.0504i | 0.996461 | + | 0.466133i | ||||
\(563\) | 16.7902 | 0.707621 | 0.353811 | − | 0.935317i | \(-0.384886\pi\) | ||||
0.353811 | + | 0.935317i | \(0.384886\pi\) | |||||||
\(564\) | 0.971516 | + | 0.858792i | 0.0409082 | + | 0.0361617i | ||||
\(565\) | − | 11.4323i | − | 0.480959i | ||||||
\(566\) | −37.4246 | + | 26.1373i | −1.57308 | + | 1.09863i | ||||
\(567\) | −13.9094 | + | 19.3269i | −0.584139 | + | 0.811654i | ||||
\(568\) | −32.9078 | + | 8.68913i | −1.38078 | + | 0.364588i | ||||
\(569\) | −21.4440 | −0.898978 | −0.449489 | − | 0.893286i | \(-0.648394\pi\) | ||||
−0.449489 | + | 0.893286i | \(0.648394\pi\) | |||||||
\(570\) | 18.5620 | − | 4.48853i | 0.777477 | − | 0.188004i | ||||
\(571\) | − | 6.51241i | − | 0.272536i | −0.990672 | − | 0.136268i | \(-0.956489\pi\) | ||
0.990672 | − | 0.136268i | \(-0.0435108\pi\) | |||||||
\(572\) | −42.6627 | + | 7.41568i | −1.78382 | + | 0.310065i | ||||
\(573\) | −31.0444 | − | 12.1265i | −1.29690 | − | 0.506590i | ||||
\(574\) | 19.9430 | + | 14.2074i | 0.832403 | + | 0.593004i | ||||
\(575\) | 7.19140i | 0.299902i | ||||||||
\(576\) | 23.3763 | + | 5.43586i | 0.974013 | + | 0.226494i | ||||
\(577\) | −32.2941 | + | 18.6450i | −1.34442 | + | 0.776201i | −0.987453 | − | 0.157916i | \(-0.949523\pi\) |
−0.356967 | + | 0.934117i | \(0.616189\pi\) | |||||||
\(578\) | −0.927286 | − | 10.7494i | −0.0385700 | − | 0.447116i | ||||
\(579\) | −6.67158 | + | 17.0796i | −0.277262 | + | 0.709805i | ||||
\(580\) | 22.9742 | − | 19.1826i | 0.953950 | − | 0.796515i | ||||
\(581\) | −4.67840 | + | 25.4996i | −0.194093 | + | 1.05790i | ||||
\(582\) | −6.06072 | − | 6.36574i | −0.251225 | − | 0.263868i | ||||
\(583\) | 22.3267i | 0.924679i | ||||||||
\(584\) | −31.9075 | − | 32.1411i | −1.32034 | − | 1.33001i | ||||
\(585\) | −22.0181 | − | 20.2985i | −0.910338 | − | 0.839239i | ||||
\(586\) | −14.3625 | + | 1.23897i | −0.593310 | + | 0.0511812i | ||||
\(587\) | 3.71458 | + | 6.43385i | 0.153317 | + | 0.265553i | 0.932445 | − | 0.361312i | \(-0.117671\pi\) |
−0.779128 | + | 0.626865i | \(0.784338\pi\) | |||||||
\(588\) | 12.9461 | − | 20.5036i | 0.533888 | − | 0.845555i | ||||
\(589\) | 1.08115 | − | 1.87261i | 0.0445481 | − | 0.0771596i | ||||
\(590\) | −9.71595 | + | 20.7700i | −0.399999 | + | 0.855086i | ||||
\(591\) | −13.0662 | + | 33.4501i | −0.537470 | + | 1.37595i | ||||
\(592\) | −23.8490 | + | 8.54922i | −0.980186 | + | 0.351371i | ||||
\(593\) | −13.4550 | − | 7.76825i | −0.552531 | − | 0.319004i | 0.197611 | − | 0.980280i | \(-0.436682\pi\) |
−0.750142 | + | 0.661277i | \(0.770015\pi\) | |||||||
\(594\) | −35.1182 | + | 21.0353i | −1.44092 | + | 0.863089i | ||||
\(595\) | 19.5960 | − | 6.97920i | 0.803356 | − | 0.286119i | ||||
\(596\) | 44.4383 | − | 7.72432i | 1.82026 | − | 0.316401i | ||||
\(597\) | −29.2641 | + | 4.45899i | −1.19770 | + | 0.182494i | ||||
\(598\) | 20.2966 | − | 14.1751i | 0.829990 | − | 0.579663i | ||||
\(599\) | 26.1634i | 1.06901i | 0.845167 | + | 0.534503i | \(0.179501\pi\) | ||||
−0.845167 | + | 0.534503i | \(0.820499\pi\) | |||||||
\(600\) | 4.65766 | − | 6.28405i | 0.190148 | − | 0.256545i | ||||
\(601\) | −34.2829 | + | 19.7932i | −1.39843 | + | 0.807383i | −0.994228 | − | 0.107288i | \(-0.965783\pi\) |
−0.404200 | + | 0.914671i | \(0.632450\pi\) | |||||||
\(602\) | −3.44892 | + | 1.57423i | −0.140567 | + | 0.0641609i | ||||
\(603\) | 12.9028 | − | 13.9959i | 0.525443 | − | 0.569958i | ||||
\(604\) | 9.16957 | − | 7.65628i | 0.373105 | − | 0.311529i | ||||
\(605\) | 44.5588 | + | 25.7260i | 1.81157 | + | 1.04591i | ||||
\(606\) | 3.30792 | − | 11.2349i | 0.134375 | − | 0.456388i | ||||
\(607\) | −2.76834 | − | 4.79490i | −0.112363 | − | 0.194619i | 0.804359 | − | 0.594143i | \(-0.202509\pi\) |
−0.916723 | + | 0.399524i | \(0.869175\pi\) | |||||||
\(608\) | 9.93434 | − | 14.0058i | 0.402891 | − | 0.568009i | ||||
\(609\) | 22.7091 | + | 14.0434i | 0.920218 | + | 0.569067i | ||||
\(610\) | −30.2930 | − | 14.1707i | −1.22653 | − | 0.573756i | ||||
\(611\) | −1.25992 | − | 0.727414i | −0.0509709 | − | 0.0294280i | ||||
\(612\) | −9.95286 | + | 15.4366i | −0.402321 | + | 0.623988i | ||||
\(613\) | 24.0237 | + | 41.6103i | 0.970308 | + | 1.68062i | 0.694622 | + | 0.719375i | \(0.255572\pi\) |
0.275686 | + | 0.961248i | \(0.411095\pi\) | |||||||
\(614\) | 29.8296 | − | 20.8329i | 1.20382 | − | 0.840748i | ||||
\(615\) | −10.5924 | + | 27.1171i | −0.427126 | + | 1.09347i | ||||
\(616\) | 34.3990 | − | 23.5488i | 1.38597 | − | 0.948807i | ||||
\(617\) | 16.8217 | − | 29.1360i | 0.677215 | − | 1.17297i | −0.298601 | − | 0.954378i | \(-0.596520\pi\) |
0.975816 | − | 0.218593i | \(-0.0701466\pi\) | |||||||
\(618\) | 14.1614 | − | 13.4829i | 0.569655 | − | 0.542360i | ||||
\(619\) | −15.4670 | + | 26.7897i | −0.621673 | + | 1.07677i | 0.367502 | + | 0.930023i | \(0.380213\pi\) |
−0.989174 | + | 0.146746i | \(0.953120\pi\) | |||||||
\(620\) | −0.626644 | − | 3.60510i | −0.0251666 | − | 0.144784i | ||||
\(621\) | 13.0904 | − | 19.4005i | 0.525298 | − | 0.778514i | ||||
\(622\) | 6.03846 | − | 4.21724i | 0.242120 | − | 0.169096i | ||||
\(623\) | 2.07264 | + | 5.81948i | 0.0830384 | + | 0.233153i | ||||
\(624\) | −26.9165 | − | 0.758911i | −1.07752 | − | 0.0303808i | ||||
\(625\) | 15.2170 | + | 26.3566i | 0.608679 | + | 1.05426i | ||||
\(626\) | −3.30414 | − | 4.73104i | −0.132060 | − | 0.189090i | ||||
\(627\) | 4.41180 | + | 28.9544i | 0.176190 | + | 1.15633i | ||||
\(628\) | −2.15129 | − | 0.788934i | −0.0858458 | − | 0.0314819i | ||||
\(629\) | − | 19.3887i | − | 0.773079i | ||||||
\(630\) | 27.3974 | + | 8.97547i | 1.09154 | + | 0.357591i | ||||
\(631\) | − | 17.8791i | − | 0.711757i | −0.934532 | − | 0.355878i | \(-0.884182\pi\) | ||
0.934532 | − | 0.355878i | \(-0.115818\pi\) | |||||||
\(632\) | −18.9814 | + | 5.01193i | −0.755039 | + | 0.199364i | ||||
\(633\) | −23.7991 | + | 19.0419i | −0.945931 | + | 0.756846i | ||||
\(634\) | −0.739199 | + | 0.516255i | −0.0293574 | + | 0.0205031i | ||||
\(635\) | −14.1531 | − | 24.5138i | −0.561648 | − | 0.972802i | ||||
\(636\) | −2.76220 | + | 13.6062i | −0.109529 | + | 0.539519i | ||||
\(637\) | −9.65794 | + | 25.4344i | −0.382662 | + | 1.00775i | ||||
\(638\) | 26.2828 | + | 37.6330i | 1.04055 | + | 1.48991i | ||||
\(639\) | 24.4692 | − | 26.5422i | 0.967986 | − | 1.04999i | ||||
\(640\) | −2.28618 | − | 28.9680i | −0.0903691 | − | 1.14506i | ||||
\(641\) | 4.93534 | − | 8.54827i | 0.194934 | − | 0.337636i | −0.751945 | − | 0.659226i | \(-0.770884\pi\) |
0.946879 | + | 0.321590i | \(0.104217\pi\) | |||||||
\(642\) | −6.60447 | + | 22.4313i | −0.260658 | + | 0.885291i | ||||
\(643\) | −19.6415 | + | 34.0201i | −0.774585 | + | 1.34162i | 0.160442 | + | 0.987045i | \(0.448708\pi\) |
−0.935027 | + | 0.354576i | \(0.884625\pi\) | |||||||
\(644\) | −12.1091 | + | 20.5279i | −0.477164 | + | 0.808911i | ||||
\(645\) | −2.81604 | − | 3.51958i | −0.110882 | − | 0.138583i | ||||
\(646\) | 7.52432 | + | 10.7737i | 0.296040 | + | 0.423885i | ||||
\(647\) | −12.5252 | − | 21.6942i | −0.492415 | − | 0.852888i | 0.507546 | − | 0.861624i | \(-0.330553\pi\) |
−0.999962 | + | 0.00873594i | \(0.997219\pi\) | |||||||
\(648\) | −24.0038 | + | 8.47442i | −0.942960 | + | 0.332907i | ||||
\(649\) | −30.4559 | − | 17.5837i | −1.19550 | − | 0.690221i | ||||
\(650\) | −3.71856 | + | 7.94924i | −0.145854 | + | 0.311795i | ||||
\(651\) | 2.87509 | − | 1.54595i | 0.112684 | − | 0.0605906i | ||||
\(652\) | 4.22058 | − | 3.52404i | 0.165291 | − | 0.138012i | ||||
\(653\) | −4.50694 | − | 7.80625i | −0.176370 | − | 0.305482i | 0.764264 | − | 0.644903i | \(-0.223102\pi\) |
−0.940635 | + | 0.339421i | \(0.889769\pi\) | |||||||
\(654\) | 21.5665 | − | 20.5331i | 0.843316 | − | 0.802908i | ||||
\(655\) | 5.06092 | + | 2.92192i | 0.197747 | + | 0.114169i | ||||
\(656\) | 8.83328 | + | 24.6414i | 0.344882 | + | 0.962084i | ||||
\(657\) | 46.8665 | + | 10.5385i | 1.82844 | + | 0.411147i | ||||
\(658\) | 1.39420 | + | 0.133412i | 0.0543516 | + | 0.00520096i | ||||
\(659\) | −11.1541 | + | 6.43982i | −0.434502 | + | 0.250860i | −0.701263 | − | 0.712903i | \(-0.747380\pi\) |
0.266761 | + | 0.963763i | \(0.414047\pi\) | |||||||
\(660\) | 37.1348 | + | 32.8261i | 1.44547 | + | 1.27775i | ||||
\(661\) | − | 6.31666i | − | 0.245690i | −0.992426 | − | 0.122845i | \(-0.960798\pi\) | ||
0.992426 | − | 0.122845i | \(-0.0392017\pi\) | |||||||
\(662\) | 0.641820 | + | 0.918989i | 0.0249450 | + | 0.0357175i | ||||
\(663\) | 7.49782 | − | 19.1948i | 0.291191 | − | 0.745466i | ||||
\(664\) | −19.6690 | + | 19.5261i | −0.763305 | + | 0.757758i | ||||
\(665\) | 13.3678 | − | 15.7092i | 0.518383 | − | 0.609175i | ||||
\(666\) | 16.4486 | − | 21.2494i | 0.637371 | − | 0.823398i | ||||
\(667\) | −22.7271 | − | 13.1215i | −0.879998 | − | 0.508067i | ||||
\(668\) | −11.3874 | − | 13.6381i | −0.440590 | − | 0.527675i | ||||
\(669\) | 22.7804 | − | 3.47106i | 0.880740 | − | 0.134199i | ||||
\(670\) | −20.8766 | − | 9.76583i | −0.806533 | − | 0.377287i | ||||
\(671\) | 25.6459 | − | 44.4199i | 0.990047 | − | 1.71481i | ||||
\(672\) | 23.8765 | − | 10.0951i | 0.921057 | − | 0.389428i | ||||
\(673\) | 17.4382 | + | 30.2039i | 0.672195 | + | 1.16428i | 0.977280 | + | 0.211951i | \(0.0679817\pi\) |
−0.305085 | + | 0.952325i | \(0.598685\pi\) | |||||||
\(674\) | 2.51550 | + | 29.1605i | 0.0968935 | + | 1.12322i | ||||
\(675\) | −0.580077 | + | 8.27614i | −0.0223272 | + | 0.318549i | ||||
\(676\) | 4.14930 | − | 0.721238i | 0.159589 | − | 0.0277399i | ||||
\(677\) | − | 40.7999i | − | 1.56807i | −0.620718 | − | 0.784034i | \(-0.713159\pi\) | ||
0.620718 | − | 0.784034i | \(-0.286841\pi\) | |||||||
\(678\) | 10.4591 | + | 3.07948i | 0.401678 | + | 0.118267i | ||||
\(679\) | −9.33786 | − | 1.71321i | −0.358354 | − | 0.0657470i | ||||
\(680\) | 21.4591 | + | 5.83390i | 0.822918 | + | 0.223720i | ||||
\(681\) | −1.00530 | − | 1.25645i | −0.0385231 | − | 0.0481474i | ||||
\(682\) | 5.59120 | − | 0.482319i | 0.214098 | − | 0.0184689i | ||||
\(683\) | 25.0149 | − | 14.4424i | 0.957168 | − | 0.552621i | 0.0618679 | − | 0.998084i | \(-0.480294\pi\) |
0.895300 | + | 0.445463i | \(0.146961\pi\) | |||||||
\(684\) | −0.893560 | + | 18.1909i | −0.0341661 | + | 0.695548i | ||||
\(685\) | − | 23.3772i | − | 0.893199i | ||||||
\(686\) | −1.70898 | − | 26.1358i | −0.0652492 | − | 0.997869i | ||||
\(687\) | 1.03507 | + | 6.79312i | 0.0394905 | + | 0.259174i | ||||
\(688\) | −3.98793 | − | 0.723189i | −0.152038 | − | 0.0275713i | ||||
\(689\) | − | 15.5771i | − | 0.593440i | ||||||
\(690\) | −27.1824 | − | 8.00336i | −1.03482 | − | 0.304683i | ||||
\(691\) | −15.2927 | −0.581762 | −0.290881 | − | 0.956759i | \(-0.593948\pi\) | ||||
−0.290881 | + | 0.956759i | \(0.593948\pi\) | |||||||
\(692\) | 20.5184 | + | 7.52462i | 0.779992 | + | 0.286043i | ||||
\(693\) | −17.3258 | + | 40.6802i | −0.658153 | + | 1.54531i | ||||
\(694\) | 20.7001 | + | 29.6395i | 0.785766 | + | 1.12510i | ||||
\(695\) | − | 30.5709i | − | 1.15962i | ||||||
\(696\) | 11.3612 | + | 26.1856i | 0.430645 | + | 0.992564i | ||||
\(697\) | −20.0329 | −0.758801 | ||||||||
\(698\) | 1.08791 | − | 2.32565i | 0.0411782 | − | 0.0880273i | ||||
\(699\) | −25.7601 | − | 32.1958i | −0.974335 | − | 1.21776i | ||||
\(700\) | 0.0789902 | − | 8.44831i | 0.00298555 | − | 0.319316i | ||||
\(701\) | 47.8578 | 1.80756 | 0.903782 | − | 0.427993i | \(-0.140779\pi\) | ||||
0.903782 | + | 0.427993i | \(0.140779\pi\) | |||||||
\(702\) | 24.5015 | − | 14.6761i | 0.924750 | − | 0.553913i | ||||
\(703\) | −9.61299 | − | 16.6502i | −0.362561 | − | 0.627973i | ||||
\(704\) | 44.5645 | + | 0.325028i | 1.67959 | + | 0.0122500i | ||||
\(705\) | 0.250831 | + | 1.64619i | 0.00944683 | + | 0.0619990i | ||||
\(706\) | 36.4908 | − | 3.14784i | 1.37335 | − | 0.118471i | ||||
\(707\) | −4.24427 | − | 11.9169i | −0.159622 | − | 0.448182i | ||||
\(708\) | −16.3847 | − | 14.4836i | −0.615776 | − | 0.544328i | ||||
\(709\) | −13.4988 | −0.506958 | −0.253479 | − | 0.967341i | \(-0.581575\pi\) | ||||
−0.253479 | + | 0.967341i | \(0.581575\pi\) | |||||||
\(710\) | −39.5909 | − | 18.5202i | −1.48582 | − | 0.695049i | ||||
\(711\) | 14.1139 | − | 15.3097i | 0.529314 | − | 0.574157i | ||||
\(712\) | −1.73251 | + | 6.37278i | −0.0649287 | + | 0.238830i | ||||
\(713\) | −2.77858 | + | 1.60422i | −0.104059 | + | 0.0600784i | ||||
\(714\) | 1.10657 | + | 19.8078i | 0.0414122 | + | 0.741288i | ||||
\(715\) | −48.1586 | − | 27.8044i | −1.80103 | − | 1.03983i | ||||
\(716\) | 4.06645 | + | 23.3944i | 0.151970 | + | 0.874290i | ||||
\(717\) | −10.9260 | + | 8.74194i | −0.408037 | + | 0.326474i | ||||
\(718\) | 3.81132 | − | 0.328780i | 0.142237 | − | 0.0122700i | ||||
\(719\) | −13.5701 | + | 23.5041i | −0.506078 | + | 0.876554i | 0.493897 | + | 0.869521i | \(0.335572\pi\) |
−0.999975 | + | 0.00703306i | \(0.997761\pi\) | |||||||
\(720\) | 18.5692 | + | 24.5988i | 0.692034 | + | 0.916744i | ||||
\(721\) | 3.81126 | − | 20.7733i | 0.141939 | − | 0.773638i | ||||
\(722\) | −12.5355 | − | 5.86398i | −0.466525 | − | 0.218235i | ||||
\(723\) | −27.4003 | + | 21.9232i | −1.01903 | + | 0.815332i | ||||
\(724\) | −36.2005 | − | 13.2757i | −1.34538 | − | 0.493386i | ||||
\(725\) | 9.30294 | 0.345502 | ||||||||
\(726\) | −35.5388 | + | 33.8359i | −1.31897 | + | 1.25577i | ||||
\(727\) | −19.5557 | − | 33.8715i | −0.725282 | − | 1.25622i | −0.958858 | − | 0.283886i | \(-0.908376\pi\) |
0.233576 | − | 0.972338i | \(-0.424957\pi\) | |||||||
\(728\) | −23.9997 | + | 16.4297i | −0.889490 | + | 0.608925i | ||||
\(729\) | 16.6298 | − | 21.2709i | 0.615918 | − | 0.787810i | ||||
\(730\) | −4.99860 | − | 57.9454i | −0.185006 | − | 2.14466i | ||||
\(731\) | 1.55086 | − | 2.68616i | 0.0573605 | − | 0.0993513i | ||||
\(732\) | 21.1244 | − | 23.8972i | 0.780780 | − | 0.883264i | ||||
\(733\) | 22.5472 | − | 13.0176i | 0.832800 | − | 0.480817i | −0.0220104 | − | 0.999758i | \(-0.507007\pi\) |
0.854810 | + | 0.518940i | \(0.173673\pi\) | |||||||
\(734\) | 0.827683 | + | 9.59478i | 0.0305503 | + | 0.354150i | ||||
\(735\) | 29.6377 | − | 9.55600i | 1.09320 | − | 0.352478i | ||||
\(736\) | −23.1566 | + | 10.6273i | −0.853565 | + | 0.391726i | ||||
\(737\) | 17.6740 | − | 30.6122i | 0.651029 | − | 1.12762i | ||||
\(738\) | −21.9555 | − | 16.9951i | −0.808191 | − | 0.625600i | ||||
\(739\) | 21.3801 | − | 12.3438i | 0.786480 | − | 0.454074i | −0.0522420 | − | 0.998634i | \(-0.516637\pi\) |
0.838722 | + | 0.544560i | \(0.183303\pi\) | |||||||
\(740\) | −30.5459 | − | 11.2020i | −1.12289 | − | 0.411792i | ||||
\(741\) | −3.07806 | − | 20.2011i | −0.113075 | − | 0.742107i | ||||
\(742\) | 6.22688 | + | 13.6422i | 0.228596 | + | 0.500821i | ||||
\(743\) | 32.6332 | + | 18.8408i | 1.19720 | + | 0.691202i | 0.959929 | − | 0.280242i | \(-0.0904146\pi\) |
0.237268 | + | 0.971444i | \(0.423748\pi\) | |||||||
\(744\) | 3.46701 | + | 0.397798i | 0.127107 | + | 0.0145840i | ||||
\(745\) | 50.1630 | + | 28.9616i | 1.83783 | + | 1.06107i | ||||
\(746\) | 42.9319 | + | 20.0830i | 1.57185 | + | 0.735292i | ||||
\(747\) | 6.44913 | − | 28.6803i | 0.235961 | − | 1.04936i | ||||
\(748\) | −11.7428 | + | 32.0205i | −0.429358 | + | 1.17079i | ||||
\(749\) | 8.47396 | + | 23.7929i | 0.309632 | + | 0.869374i | ||||
\(750\) | −20.8115 | + | 5.03250i | −0.759929 | + | 0.183761i | ||||
\(751\) | −29.7813 | + | 17.1942i | −1.08673 | + | 0.627426i | −0.932705 | − | 0.360640i | \(-0.882558\pi\) |
−0.154029 | + | 0.988066i | \(0.549225\pi\) | |||||||
\(752\) | 1.14228 | + | 0.967993i | 0.0416548 | + | 0.0352991i | ||||
\(753\) | 1.12198 | − | 2.87234i | 0.0408874 | − | 0.104674i | ||||
\(754\) | −18.3372 | − | 26.2561i | −0.667801 | − | 0.956191i | ||||
\(755\) | 15.3406 | 0.558303 | ||||||||
\(756\) | −15.5914 | + | 22.6475i | −0.567054 | + | 0.823681i | ||||
\(757\) | 25.0283 | 0.909668 | 0.454834 | − | 0.890576i | \(-0.349699\pi\) | ||||
0.454834 | + | 0.890576i | \(0.349699\pi\) | |||||||
\(758\) | 7.54547 | + | 10.8040i | 0.274064 | + | 0.392418i | ||||
\(759\) | 15.8121 | − | 40.4798i | 0.573943 | − | 1.46933i | ||||
\(760\) | 21.3206 | − | 5.62958i | 0.773379 | − | 0.204206i | ||||
\(761\) | −6.45607 | + | 3.72741i | −0.234032 | + | 0.135119i | −0.612431 | − | 0.790524i | \(-0.709808\pi\) |
0.378399 | + | 0.925643i | \(0.376475\pi\) | |||||||
\(762\) | 26.2394 | − | 6.34504i | 0.950555 | − | 0.229857i | ||||
\(763\) | 5.80419 | − | 31.6357i | 0.210126 | − | 1.14529i | ||||
\(764\) | −36.1317 | − | 13.2504i | −1.30720 | − | 0.479384i | ||||
\(765\) | −22.5165 | + | 7.02481i | −0.814087 | + | 0.253983i | ||||
\(766\) | 2.37815 | + | 1.11247i | 0.0859260 | + | 0.0401952i | ||||
\(767\) | 21.2487 | + | 12.2679i | 0.767245 | + | 0.442969i | ||||
\(768\) | 27.1179 | + | 5.71147i | 0.978532 | + | 0.206095i | ||||
\(769\) | 31.9762 | + | 18.4615i | 1.15309 | + | 0.665737i | 0.949639 | − | 0.313347i | \(-0.101450\pi\) |
0.203452 | + | 0.979085i | \(0.434784\pi\) | |||||||
\(770\) | 53.2914 | + | 5.09950i | 1.92049 | + | 0.183773i | ||||
\(771\) | 3.01167 | + | 19.7654i | 0.108463 | + | 0.711835i | ||||
\(772\) | −7.28996 | + | 19.8785i | −0.262371 | + | 0.715443i | ||||
\(773\) | −3.26165 | + | 1.88311i | −0.117313 | + | 0.0677309i | −0.557509 | − | 0.830171i | \(-0.688243\pi\) |
0.440195 | + | 0.897902i | \(0.354909\pi\) | |||||||
\(774\) | 3.97852 | − | 1.62826i | 0.143005 | − | 0.0585267i | ||||
\(775\) | 0.568682 | − | 0.984986i | 0.0204277 | − | 0.0353817i | ||||
\(776\) | −7.15036 | − | 7.20270i | −0.256683 | − | 0.258562i | ||||
\(777\) | 0.877687 | − | 29.0116i | 0.0314869 | − | 1.04079i | ||||
\(778\) | 1.61939 | + | 18.7725i | 0.0580580 | + | 0.673028i | ||||
\(779\) | −17.2034 | + | 9.93239i | −0.616376 | + | 0.355865i | ||||
\(780\) | −25.9085 | − | 22.9024i | −0.927674 | − | 0.820036i | ||||
\(781\) | 33.5173 | − | 58.0537i | 1.19934 | − | 2.07733i | ||||
\(782\) | −1.67582 | − | 19.4266i | −0.0599270 | − | 0.694694i | ||||
\(783\) | −25.0968 | − | 16.9340i | −0.896887 | − | 0.605170i | ||||
\(784\) | 14.4510 | − | 23.9827i | 0.516106 | − | 0.856525i | ||||
\(785\) | −1.47130 | − | 2.54836i | −0.0525129 | − | 0.0909550i | ||||
\(786\) | −4.03644 | + | 3.84303i | −0.143975 | + | 0.137076i | ||||
\(787\) | −50.5644 | −1.80242 | −0.901212 | − | 0.433377i | \(-0.857322\pi\) | ||||
−0.901212 | + | 0.433377i | \(0.857322\pi\) | |||||||
\(788\) | −14.2772 | + | 38.9316i | −0.508605 | + | 1.38688i | ||||
\(789\) | 18.5400 | − | 14.8340i | 0.660040 | − | 0.528103i | ||||
\(790\) | −22.8362 | − | 10.6825i | −0.812475 | − | 0.380067i | ||||
\(791\) | 11.0940 | − | 3.95117i | 0.394456 | − | 0.140488i | ||||
\(792\) | −40.0346 | + | 25.1314i | −1.42257 | + | 0.893005i | ||||
\(793\) | −17.8928 | + | 30.9912i | −0.635392 | + | 1.10053i | ||||
\(794\) | 13.0487 | − | 1.12563i | 0.463081 | − | 0.0399472i | ||||
\(795\) | −13.9217 | + | 11.1389i | −0.493752 | + | 0.395055i | ||||
\(796\) | −33.6763 | + | 5.85366i | −1.19363 | + | 0.207478i | ||||
\(797\) | 14.2897 | + | 8.25016i | 0.506167 | + | 0.292236i | 0.731257 | − | 0.682102i | \(-0.238934\pi\) |
−0.225090 | + | 0.974338i | \(0.572268\pi\) | |||||||
\(798\) | 10.7710 | + | 16.4614i | 0.381291 | + | 0.582728i | ||||
\(799\) | −0.992338 | + | 0.572926i | −0.0351064 | + | 0.0202687i | ||||
\(800\) | 5.22542 | − | 7.36698i | 0.184747 | − | 0.260462i | ||||
\(801\) | −2.08618 | − | 6.68682i | −0.0737117 | − | 0.236267i | ||||
\(802\) | −12.6141 | − | 5.90072i | −0.445419 | − | 0.208362i | ||||
\(803\) | 89.1995 | 3.14778 | ||||||||
\(804\) | 14.5580 | − | 16.4688i | 0.513420 | − | 0.580811i | ||||
\(805\) | −28.8325 | + | 10.2688i | −1.01621 | + | 0.361929i | ||||
\(806\) | −3.90091 | + | 0.336508i | −0.137404 | + | 0.0118530i | ||||
\(807\) | −0.115848 | − | 0.760305i | −0.00407805 | − | 0.0267640i | ||||
\(808\) | 3.54778 | − | 13.0500i | 0.124810 | − | 0.459096i | ||||
\(809\) | 1.63374 | + | 2.82972i | 0.0574392 | + | 0.0994876i | 0.893315 | − | 0.449431i | \(-0.148373\pi\) |
−0.835876 | + | 0.548918i | \(0.815040\pi\) | |||||||
\(810\) | −30.6370 | − | 11.4032i | −1.07647 | − | 0.400667i | ||||
\(811\) | −0.801585 | −0.0281475 | −0.0140737 | − | 0.999901i | \(-0.504480\pi\) | ||||
−0.0140737 | + | 0.999901i | \(0.504480\pi\) | |||||||
\(812\) | 26.5552 | + | 15.6645i | 0.931906 | + | 0.549717i | ||||
\(813\) | 3.92560 | + | 4.90634i | 0.137677 | + | 0.172073i | ||||
\(814\) | 21.1429 | − | 45.1976i | 0.741059 | − | 1.58418i | ||||
\(815\) | 7.06101 | 0.247336 | ||||||||
\(816\) | −11.1177 | + | 18.0609i | −0.389196 | + | 0.632258i | ||||
\(817\) | − | 3.07568i | − | 0.107604i | ||||||
\(818\) | −16.2172 | − | 23.2206i | −0.567022 | − | 0.811890i | ||||
\(819\) | 12.0880 | − | 28.3821i | 0.422389 | − | 0.991751i | ||||
\(820\) | −11.5742 | + | 31.5608i | −0.404187 | + | 1.10215i | ||||
\(821\) | −25.3988 | −0.886426 | −0.443213 | − | 0.896416i | \(-0.646161\pi\) | ||||
−0.443213 | + | 0.896416i | \(0.646161\pi\) | |||||||
\(822\) | 21.3872 | + | 6.29707i | 0.745965 | + | 0.219636i | ||||
\(823\) | 10.7849i | 0.375938i | 0.982175 | + | 0.187969i | \(0.0601905\pi\) | ||||
−0.982175 | + | 0.187969i | \(0.939809\pi\) | |||||||
\(824\) | 16.0233 | − | 15.9069i | 0.558200 | − | 0.554143i | ||||
\(825\) | 2.32059 | + | 15.2299i | 0.0807926 | + | 0.530237i | ||||
\(826\) | −23.5134 | − | 2.25002i | −0.818134 | − | 0.0782881i | ||||
\(827\) | 3.34832i | 0.116432i | 0.998304 | + | 0.0582162i | \(0.0185413\pi\) | ||||
−0.998304 | + | 0.0582162i | \(0.981459\pi\) | |||||||
\(828\) | 14.6441 | − | 22.7126i | 0.508919 | − | 0.789319i | ||||
\(829\) | 8.23383 | − | 4.75381i | 0.285973 | − | 0.165106i | −0.350151 | − | 0.936693i | \(-0.613870\pi\) |
0.636124 | + | 0.771587i | \(0.280537\pi\) | |||||||
\(830\) | −35.4602 | + | 3.05893i | −1.23084 | + | 0.106177i | ||||
\(831\) | −3.94389 | − | 4.92920i | −0.136812 | − | 0.170992i | ||||
\(832\) | −31.0921 | − | 0.226768i | −1.07792 | − | 0.00786178i | ||||
\(833\) | 13.5454 | + | 16.6040i | 0.469319 | + | 0.575294i | ||||
\(834\) | 27.9685 | + | 8.23480i | 0.968469 | + | 0.285148i | ||||
\(835\) | − | 22.8165i | − | 0.789597i | ||||||
\(836\) | 5.79172 | + | 33.3199i | 0.200311 | + | 1.15239i | ||||
\(837\) | −3.32710 | + | 1.62207i | −0.115001 | + | 0.0560668i | ||||
\(838\) | −3.65198 | − | 42.3350i | −0.126156 | − | 1.46244i | ||||
\(839\) | 17.7731 | + | 30.7839i | 0.613596 | + | 1.06278i | 0.990629 | + | 0.136579i | \(0.0436108\pi\) |
−0.377034 | + | 0.926200i | \(0.623056\pi\) | |||||||
\(840\) | 31.8454 | + | 9.70076i | 1.09877 | + | 0.334708i | ||||
\(841\) | −2.47424 | + | 4.28551i | −0.0853186 | + | 0.147776i | ||||
\(842\) | −12.0102 | − | 5.61823i | −0.413899 | − | 0.193617i | ||||
\(843\) | −31.5763 | + | 4.81130i | −1.08754 | + | 0.165710i | ||||
\(844\) | −27.0155 | + | 22.5570i | −0.929912 | + | 0.776444i | ||||
\(845\) | 4.68383 | + | 2.70421i | 0.161129 | + | 0.0930277i | ||||
\(846\) | −1.57362 | − | 0.213951i | −0.0541021 | − | 0.00735579i | ||||
\(847\) | −9.56455 | + | 52.1316i | −0.328642 | + | 1.79126i | ||||
\(848\) | −2.86058 | + | 15.7743i | −0.0982326 | + | 0.541690i | ||||
\(849\) | 20.3416 | − | 52.0755i | 0.698121 | − | 1.78723i | ||||
\(850\) | 3.95776 | + | 5.66692i | 0.135750 | + | 0.194374i | ||||
\(851\) | 28.5276i | 0.977912i | ||||||||
\(852\) | 27.6081 | − | 31.2319i | 0.945838 | − | 1.06999i | ||||
\(853\) | 29.1774 | − | 16.8456i | 0.999017 | − | 0.576783i | 0.0910594 | − | 0.995845i | \(-0.470975\pi\) |
0.907957 | + | 0.419063i | \(0.137641\pi\) | |||||||
\(854\) | 3.28165 | − | 34.2943i | 0.112296 | − | 1.17353i | ||||
\(855\) | −15.8533 | + | 17.1964i | −0.542171 | + | 0.588104i | ||||
\(856\) | −7.08337 | + | 26.0551i | −0.242105 | + | 0.890544i | ||||
\(857\) | 4.71098 | + | 2.71988i | 0.160924 | + | 0.0929095i | 0.578299 | − | 0.815825i | \(-0.303717\pi\) |
−0.417375 | + | 0.908734i | \(0.637050\pi\) | |||||||
\(858\) | 38.4099 | − | 36.5694i | 1.31129 | − | 1.24846i | ||||
\(859\) | −7.53547 | − | 13.0518i | −0.257107 | − | 0.445322i | 0.708359 | − | 0.705853i | \(-0.249436\pi\) |
−0.965466 | + | 0.260530i | \(0.916103\pi\) | |||||||
\(860\) | −3.33589 | − | 3.99524i | −0.113753 | − | 0.136237i | ||||
\(861\) | −29.9756 | − | 0.906849i | −1.02156 | − | 0.0309053i | ||||
\(862\) | 8.12564 | − | 17.3703i | 0.276760 | − | 0.591636i | ||||
\(863\) | 6.63530 | + | 3.83089i | 0.225868 | + | 0.130405i | 0.608665 | − | 0.793428i | \(-0.291706\pi\) |
−0.382796 | + | 0.923833i | \(0.625039\pi\) | |||||||
\(864\) | −27.5067 | + | 10.3624i | −0.935799 | + | 0.352535i | ||||
\(865\) | 14.0328 | + | 24.3055i | 0.477130 | + | 0.826413i | ||||
\(866\) | 23.3558 | + | 33.4420i | 0.793662 | + | 1.13640i | ||||
\(867\) | 8.25550 | + | 10.3180i | 0.280372 | + | 0.350418i | ||||
\(868\) | 3.28185 | − | 1.85408i | 0.111393 | − | 0.0629316i | ||||
\(869\) | 19.3330 | − | 33.4857i | 0.655826 | − | 1.13592i | ||||
\(870\) | −10.3533 | + | 35.1637i | −0.351010 | + | 1.19216i | ||||
\(871\) | −12.3309 | + | 21.3578i | −0.417817 | + | 0.723680i | ||||
\(872\) | 24.4020 | − | 24.2247i | 0.826357 | − | 0.820352i | ||||
\(873\) | 10.5026 | + | 2.36164i | 0.355460 | + | 0.0799296i | ||||
\(874\) | −11.0709 | − | 15.8518i | −0.374478 | − | 0.536197i | ||||
\(875\) | −14.9879 | + | 17.6130i | −0.506683 | + | 0.595427i | ||||
\(876\) | 54.3592 | + | 11.0355i | 1.83663 | + | 0.372856i | ||||
\(877\) | 20.1930 | + | 34.9752i | 0.681868 | + | 1.18103i | 0.974410 | + | 0.224777i | \(0.0721654\pi\) |
−0.292542 | + | 0.956253i | \(0.594501\pi\) | |||||||
\(878\) | −16.8094 | + | 11.7396i | −0.567289 | + | 0.396193i | ||||
\(879\) | 13.7861 | − | 11.0304i | 0.464993 | − | 0.372045i | ||||
\(880\) | 43.6622 | + | 37.0002i | 1.47185 | + | 1.24728i | ||||
\(881\) | − | 11.4041i | − | 0.384215i | −0.981374 | − | 0.192107i | \(-0.938468\pi\) | ||
0.981374 | − | 0.192107i | \(-0.0615322\pi\) | |||||||
\(882\) | 0.759113 | + | 29.6888i | 0.0255607 | + | 0.999673i | ||||
\(883\) | 31.0063i | 1.04345i | 0.853115 | + | 0.521723i | \(0.174710\pi\) | ||||
−0.853115 | + | 0.521723i | \(0.825290\pi\) | |||||||
\(884\) | 8.19278 | − | 22.3403i | 0.275553 | − | 0.751387i | ||||
\(885\) | −4.23029 | − | 27.7631i | −0.142200 | − | 0.933248i | ||||
\(886\) | 22.4208 | + | 32.1033i | 0.753243 | + | 1.07853i | ||||
\(887\) | −24.9111 | − | 43.1473i | −0.836432 | − | 1.44874i | −0.892859 | − | 0.450336i | \(-0.851304\pi\) |
0.0564269 | − | 0.998407i | \(-0.482029\pi\) | |||||||
\(888\) | 18.4765 | − | 24.9282i | 0.620029 | − | 0.836535i | ||||
\(889\) | 18.8969 | − | 22.2067i | 0.633783 | − | 0.744787i | ||||
\(890\) | −6.95309 | + | 4.85602i | −0.233068 | + | 0.162774i | ||||
\(891\) | 21.4624 | − | 45.3103i | 0.719016 | − | 1.51795i | ||||
\(892\) | 26.2150 | − | 4.55673i | 0.877744 | − | 0.152571i | ||||
\(893\) | −0.568117 | + | 0.984008i | −0.0190113 | + | 0.0329286i | ||||
\(894\) | −40.0085 | + | 38.0915i | −1.33808 | + | 1.27397i | ||||
\(895\) | −15.2468 | + | 26.4082i | −0.509643 | + | 0.882727i | ||||
\(896\) | 27.3207 | − | 12.2303i | 0.912720 | − | 0.408587i | ||||
\(897\) | −11.0319 | + | 28.2423i | −0.368345 | + | 0.942982i | ||||
\(898\) | −6.85675 | + | 4.78874i | −0.228813 | + | 0.159802i | ||||
\(899\) | 2.07525 | + | 3.59443i | 0.0692133 | + | 0.119881i | ||||
\(900\) | −0.470009 | + | 9.56837i | −0.0156670 | + | 0.318946i | ||||
\(901\) | −10.6251 | − | 6.13442i | −0.353974 | − | 0.204367i | ||||
\(902\) | −46.6993 | − | 21.8454i | −1.55492 | − | 0.727373i | ||||
\(903\) | 2.44217 | − | 3.94914i | 0.0812702 | − | 0.131419i | ||||
\(904\) | 12.1488 | + | 3.30278i | 0.404062 | + | 0.109849i | ||||
\(905\) | −24.7580 | − | 42.8822i | −0.822985 | − | 1.42545i | ||||
\(906\) | −4.13227 | + | 14.0347i | −0.137285 | + | 0.466273i | ||||
\(907\) | 9.41097 | + | 5.43343i | 0.312486 | + | 0.180414i | 0.648038 | − | 0.761608i | \(-0.275590\pi\) |
−0.335552 | + | 0.942022i | \(0.608923\pi\) | |||||||
\(908\) | −1.19088 | − | 1.42626i | −0.0395206 | − | 0.0473321i | ||||
\(909\) | 4.27201 | + | 13.6930i | 0.141694 | + | 0.454169i | ||||
\(910\) | −37.1807 | − | 3.55786i | −1.23253 | − | 0.117942i | ||||
\(911\) | −32.3485 | + | 18.6764i | −1.07175 | + | 0.618776i | −0.928660 | − | 0.370933i | \(-0.879038\pi\) |
−0.143092 | + | 0.989709i | \(0.545705\pi\) | |||||||
\(912\) | −0.592717 | + | 21.0221i | −0.0196268 | + | 0.696110i | ||||
\(913\) | − | 54.5864i | − | 1.80655i | ||||||
\(914\) | −32.6451 | + | 22.7993i | −1.07980 | + | 0.754132i | ||||
\(915\) | 40.4926 | − | 6.16988i | 1.33864 | − | 0.203970i | ||||
\(916\) | 1.35882 | + | 7.81734i | 0.0448967 | + | 0.258292i | ||||
\(917\) | −1.08633 | + | 5.92103i | −0.0358737 | + | 0.195530i | ||||
\(918\) | −0.361591 | − | 22.4920i | −0.0119343 | − | 0.742348i | ||||
\(919\) | 37.0569 | + | 21.3948i | 1.22239 | + | 0.705749i | 0.965428 | − | 0.260671i | \(-0.0839439\pi\) |
0.256966 | + | 0.966420i | \(0.417277\pi\) | |||||||
\(920\) | −31.5738 | − | 8.58370i | −1.04096 | − | 0.282996i | ||||
\(921\) | −16.2134 | + | 41.5072i | −0.534250 | + | 1.36771i | ||||
\(922\) | −11.7787 | + | 25.1795i | −0.387910 | + | 0.829242i | ||||
\(923\) | −23.3846 | + | 40.5034i | −0.769715 | + | 1.33318i | ||||
\(924\) | −19.0204 | + | 47.3812i | −0.625724 | + | 1.55873i | ||||
\(925\) | −5.05639 | − | 8.75793i | −0.166253 | − | 0.287959i | ||||
\(926\) | 4.79548 | − | 0.413677i | 0.157589 | − | 0.0135943i | ||||
\(927\) | −5.25379 | + | 23.3644i | −0.172557 | + | 0.767389i | ||||
\(928\) | 13.7476 | + | 29.9559i | 0.451288 | + | 0.983350i | ||||
\(929\) | 55.0800i | 1.80712i | 0.428464 | + | 0.903559i | \(0.359055\pi\) | ||||
−0.428464 | + | 0.903559i | \(0.640945\pi\) | |||||||
\(930\) | 3.09021 | + | 3.24573i | 0.101332 | + | 0.106432i | ||||
\(931\) | 19.8645 | + | 7.54294i | 0.651031 | + | 0.247210i | ||||
\(932\) | −30.5154 | − | 36.5469i | −0.999565 | − | 1.19713i | ||||
\(933\) | −3.28211 | + | 8.40238i | −0.107451 | + | 0.275082i | ||||
\(934\) | −3.39706 | − | 39.3798i | −0.111155 | − | 1.28855i | ||||
\(935\) | −37.9307 | + | 21.8993i | −1.24047 | + | 0.716184i | ||||
\(936\) | 27.9317 | − | 17.5339i | 0.912975 | − | 0.573112i | ||||
\(937\) | 48.4798i | 1.58377i | 0.610672 | + | 0.791883i | \(0.290899\pi\) | ||||
−0.610672 | + | 0.791883i | \(0.709101\pi\) | |||||||
\(938\) | 2.26157 | − | 23.6341i | 0.0738427 | − | 0.771680i | ||||
\(939\) | 6.58313 | + | 2.57148i | 0.214832 | + | 0.0839170i | ||||
\(940\) | 0.329285 | + | 1.89439i | 0.0107401 | + | 0.0617881i | ||||
\(941\) | 13.9275i | 0.454024i | 0.973892 | + | 0.227012i | \(0.0728957\pi\) | ||||
−0.973892 | + | 0.227012i | \(0.927104\pi\) | |||||||
\(942\) | 2.72775 | − | 0.659605i | 0.0888749 | − | 0.0214911i | ||||
\(943\) | 29.4754 | 0.959851 | ||||||||
\(944\) | −19.2647 | − | 16.3253i | −0.627014 | − | 0.531344i | ||||
\(945\) | −34.0098 | + | 9.49205i | −1.10634 | + | 0.308776i | ||||
\(946\) | 6.54444 | − | 4.57062i | 0.212778 | − | 0.148604i | ||||
\(947\) | − | 43.5427i | − | 1.41495i | −0.706740 | − | 0.707473i | \(-0.749835\pi\) | ||
0.706740 | − | 0.707473i | \(-0.250165\pi\) | |||||||
\(948\) | 15.9245 | − | 18.0147i | 0.517203 | − | 0.585091i | ||||
\(949\) | −62.2334 | −2.02018 | ||||||||
\(950\) | 6.20843 | + | 2.90423i | 0.201428 | + | 0.0942256i | ||||
\(951\) | 0.401780 | − | 1.02858i | 0.0130286 | − | 0.0333540i | ||||
\(952\) | 1.75533 | + | 22.8404i | 0.0568907 | + | 0.740261i | ||||
\(953\) | −44.2712 | −1.43409 | −0.717043 | − | 0.697029i | \(-0.754505\pi\) | ||||
−0.717043 | + | 0.697029i | \(0.754505\pi\) | |||||||
\(954\) | −6.44060 | − | 15.7371i | −0.208522 | − | 0.509506i | ||||
\(955\) | −24.7110 | − | 42.8007i | −0.799629 | − | 1.38500i | ||||
\(956\) | −12.4026 | + | 10.3557i | −0.401127 | + | 0.334927i | ||||
\(957\) | −52.3655 | − | 20.4548i | −1.69274 | − | 0.661211i | ||||
\(958\) | −2.84869 | − | 33.0230i | −0.0920370 | − | 1.06692i | ||||
\(959\) | 22.6855 | − | 8.07955i | 0.732553 | − | 0.260902i | ||||
\(960\) | 22.0307 | + | 27.9501i | 0.711036 | + | 0.902085i | ||||
\(961\) | −30.4926 | −0.983631 | ||||||||
\(962\) | −14.7511 | + | 31.5338i | −0.475596 | + | 1.01669i | ||||
\(963\) | −8.52935 | − | 27.3390i | −0.274854 | − | 0.880987i | ||||
\(964\) | −31.1034 | + | 25.9702i | −1.00177 | + | 0.836445i | ||||
\(965\) | −23.5475 | + | 13.5952i | −0.758022 | + | 0.437644i | ||||
\(966\) | −1.62814 | − | 29.1442i | −0.0523847 | − | 0.937698i | ||||
\(967\) | 42.1020 | + | 24.3076i | 1.35391 | + | 0.781680i | 0.988795 | − | 0.149283i | \(-0.0476965\pi\) |
0.365114 | + | 0.930963i | \(0.381030\pi\) | |||||||
\(968\) | −40.2114 | + | 39.9192i | −1.29244 | + | 1.28305i | ||||
\(969\) | −14.9913 | − | 5.85587i | −0.481591 | − | 0.188118i | ||||
\(970\) | −1.12017 | − | 12.9854i | −0.0359665 | − | 0.416935i | ||||
\(971\) | 14.2467 | − | 24.6760i | 0.457198 | − | 0.791890i | −0.541614 | − | 0.840627i | \(-0.682186\pi\) |
0.998812 | + | 0.0487375i | \(0.0155198\pi\) | |||||||
\(972\) | 18.6851 | − | 24.9573i | 0.599324 | − | 0.800507i | ||||
\(973\) | 29.6663 | − | 10.5658i | 0.951056 | − | 0.338723i | ||||
\(974\) | 12.3430 | − | 26.3859i | 0.395496 | − | 0.845459i | ||||
\(975\) | −1.61905 | − | 10.6257i | −0.0518510 | − | 0.340295i | ||||
\(976\) | 23.8105 | − | 28.0977i | 0.762156 | − | 0.899384i | ||||
\(977\) | −26.7252 | −0.855014 | −0.427507 | − | 0.904012i | \(-0.640608\pi\) | ||||
−0.427507 | + | 0.904012i | \(0.640608\pi\) | |||||||
\(978\) | −1.90201 | + | 6.45993i | −0.0608194 | + | 0.206566i | ||||
\(979\) | −6.50351 | − | 11.2644i | −0.207853 | − | 0.360012i | ||||
\(980\) | 33.9846 | − | 11.7469i | 1.08560 | − | 0.375241i | ||||
\(981\) | −8.00102 | + | 35.5818i | −0.255453 | + | 1.13604i | ||||
\(982\) | −5.07968 | + | 0.438193i | −0.162099 | + | 0.0139833i | ||||
\(983\) | 0.109714 | − | 0.190029i | 0.00349932 | − | 0.00606100i | −0.864270 | − | 0.503027i | \(-0.832219\pi\) |
0.867770 | + | 0.496966i | \(0.165553\pi\) | |||||||
\(984\) | −25.7564 | − | 19.0904i | −0.821085 | − | 0.608578i | ||||
\(985\) | −46.1174 | + | 26.6259i | −1.46942 | + | 0.848372i | ||||
\(986\) | −25.1306 | + | 2.16787i | −0.800322 | + | 0.0690390i | ||||
\(987\) | −1.51078 | + | 0.812357i | −0.0480888 | + | 0.0258576i | ||||
\(988\) | −4.04081 | − | 23.2469i | −0.128555 | − | 0.739582i | ||||
\(989\) | −2.28185 | + | 3.95228i | −0.0725586 | + | 0.125675i | ||||
\(990\) | −60.1493 | − | 8.17798i | −1.91167 | − | 0.259913i | ||||
\(991\) | 21.3172 | − | 12.3075i | 0.677165 | − | 0.390961i | −0.121621 | − | 0.992577i | \(-0.538809\pi\) |
0.798786 | + | 0.601615i | \(0.205476\pi\) | |||||||
\(992\) | 4.01208 | + | 0.375596i | 0.127384 | + | 0.0119252i | ||||
\(993\) | −1.27875 | − | 0.499502i | −0.0405800 | − | 0.0158512i | ||||
\(994\) | 4.28889 | − | 44.8202i | 0.136035 | − | 1.42161i | ||||
\(995\) | −38.0146 | − | 21.9478i | −1.20514 | − | 0.695790i | ||||
\(996\) | 6.75328 | − | 33.2655i | 0.213986 | − | 1.05406i | ||||
\(997\) | 38.8835 | + | 22.4494i | 1.23145 | + | 0.710979i | 0.967332 | − | 0.253511i | \(-0.0815855\pi\) |
0.264119 | + | 0.964490i | \(0.414919\pi\) | |||||||
\(998\) | −12.6394 | + | 27.0194i | −0.400093 | + | 0.855286i | ||||
\(999\) | −2.30111 | + | 32.8306i | −0.0728038 | + | 1.03871i |
(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 | 252.2.bj.b.103.10 | yes | 84 | |
3.2 | odd | 2 | 756.2.bj.b.523.33 | 84 | |||
4.3 | odd | 2 | inner | 252.2.bj.b.103.9 | yes | 84 | |
7.3 | odd | 6 | 252.2.n.b.31.19 | ✓ | 84 | ||
9.2 | odd | 6 | 756.2.n.b.19.6 | 84 | |||
9.7 | even | 3 | 252.2.n.b.187.37 | yes | 84 | ||
12.11 | even | 2 | 756.2.bj.b.523.34 | 84 | |||
21.17 | even | 6 | 756.2.n.b.199.24 | 84 | |||
28.3 | even | 6 | 252.2.n.b.31.37 | yes | 84 | ||
36.7 | odd | 6 | 252.2.n.b.187.19 | yes | 84 | ||
36.11 | even | 6 | 756.2.n.b.19.24 | 84 | |||
63.38 | even | 6 | 756.2.bj.b.451.33 | 84 | |||
63.52 | odd | 6 | inner | 252.2.bj.b.115.10 | yes | 84 | |
84.59 | odd | 6 | 756.2.n.b.199.6 | 84 | |||
252.115 | even | 6 | inner | 252.2.bj.b.115.9 | yes | 84 | |
252.227 | odd | 6 | 756.2.bj.b.451.34 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.n.b.31.19 | ✓ | 84 | 7.3 | odd | 6 | ||
252.2.n.b.31.37 | yes | 84 | 28.3 | even | 6 | ||
252.2.n.b.187.19 | yes | 84 | 36.7 | odd | 6 | ||
252.2.n.b.187.37 | yes | 84 | 9.7 | even | 3 | ||
252.2.bj.b.103.9 | yes | 84 | 4.3 | odd | 2 | inner | |
252.2.bj.b.103.10 | yes | 84 | 1.1 | even | 1 | trivial | |
252.2.bj.b.115.9 | yes | 84 | 252.115 | even | 6 | inner | |
252.2.bj.b.115.10 | yes | 84 | 63.52 | odd | 6 | inner | |
756.2.n.b.19.6 | 84 | 9.2 | odd | 6 | |||
756.2.n.b.19.24 | 84 | 36.11 | even | 6 | |||
756.2.n.b.199.6 | 84 | 84.59 | odd | 6 | |||
756.2.n.b.199.24 | 84 | 21.17 | even | 6 | |||
756.2.bj.b.451.33 | 84 | 63.38 | even | 6 | |||
756.2.bj.b.451.34 | 84 | 252.227 | odd | 6 | |||
756.2.bj.b.523.33 | 84 | 3.2 | odd | 2 | |||
756.2.bj.b.523.34 | 84 | 12.11 | even | 2 |