Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(187,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.187");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.cz (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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(180\) |
Relative dimension: | \(90\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 187.15 | ||
Character | \(\chi\) | \(=\) | 504.187 |
Dual form | 504.2.cz.b.283.15 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25541 | + | 0.651116i | −0.887707 | + | 0.460409i | ||||
\(3\) | 0.939159 | − | 1.45533i | 0.542224 | − | 0.840234i | ||||
\(4\) | 1.15209 | − | 1.63483i | 0.576047 | − | 0.817416i | ||||
\(5\) | −2.12129 | −0.948668 | −0.474334 | − | 0.880345i | \(-0.657311\pi\) | ||||
−0.474334 | + | 0.880345i | \(0.657311\pi\) | |||||||
\(6\) | −0.231438 | + | 2.43853i | −0.0944843 | + | 0.995526i | ||||
\(7\) | 2.08410 | − | 1.62989i | 0.787714 | − | 0.616041i | ||||
\(8\) | −0.381881 | + | 2.80253i | −0.135015 | + | 0.990843i | ||||
\(9\) | −1.23596 | − | 2.73357i | −0.411987 | − | 0.911190i | ||||
\(10\) | 2.66308 | − | 1.38120i | 0.842139 | − | 0.436775i | ||||
\(11\) | −0.319796 | −0.0964223 | −0.0482111 | − | 0.998837i | \(-0.515352\pi\) | ||||
−0.0482111 | + | 0.998837i | \(0.515352\pi\) | |||||||
\(12\) | −1.29722 | − | 3.21204i | −0.374475 | − | 0.927237i | ||||
\(13\) | −1.06055 | − | 1.83693i | −0.294144 | − | 0.509473i | 0.680641 | − | 0.732617i | \(-0.261701\pi\) |
−0.974785 | + | 0.223144i | \(0.928368\pi\) | |||||||
\(14\) | −1.55514 | + | 3.40317i | −0.415628 | + | 0.909534i | ||||
\(15\) | −1.99222 | + | 3.08717i | −0.514390 | + | 0.797103i | ||||
\(16\) | −1.34536 | − | 3.76696i | −0.336339 | − | 0.941741i | ||||
\(17\) | 1.01320 | − | 0.584972i | 0.245738 | − | 0.141877i | −0.372073 | − | 0.928203i | \(-0.621353\pi\) |
0.617811 | + | 0.786327i | \(0.288020\pi\) | |||||||
\(18\) | 3.33151 | + | 2.62699i | 0.785244 | + | 0.619187i | ||||
\(19\) | 0.787333 | + | 0.454567i | 0.180627 | + | 0.104285i | 0.587587 | − | 0.809161i | \(-0.300078\pi\) |
−0.406960 | + | 0.913446i | \(0.633411\pi\) | |||||||
\(20\) | −2.44392 | + | 3.46795i | −0.546477 | + | 0.775456i | ||||
\(21\) | −0.414731 | − | 4.56377i | −0.0905017 | − | 0.995896i | ||||
\(22\) | 0.401475 | − | 0.208225i | 0.0855947 | − | 0.0443937i | ||||
\(23\) | − | 2.06660i | − | 0.430917i | −0.976513 | − | 0.215458i | \(-0.930875\pi\) | ||
0.976513 | − | 0.215458i | \(-0.0691246\pi\) | |||||||
\(24\) | 3.71995 | + | 3.18778i | 0.759332 | + | 0.650703i | ||||
\(25\) | −0.500150 | −0.100030 | ||||||||
\(26\) | 2.52748 | + | 1.61555i | 0.495679 | + | 0.316836i | ||||
\(27\) | −5.13900 | − | 0.768525i | −0.989002 | − | 0.147903i | ||||
\(28\) | −0.263524 | − | 5.28494i | −0.0498014 | − | 0.998759i | ||||
\(29\) | −5.24930 | − | 3.03068i | −0.974770 | − | 0.562784i | −0.0740829 | − | 0.997252i | \(-0.523603\pi\) |
−0.900687 | + | 0.434468i | \(0.856936\pi\) | |||||||
\(30\) | 0.490947 | − | 5.17282i | 0.0896342 | − | 0.944423i | ||||
\(31\) | 1.03116 | − | 1.78602i | 0.185202 | − | 0.320779i | −0.758443 | − | 0.651740i | \(-0.774039\pi\) |
0.943645 | + | 0.330961i | \(0.107373\pi\) | |||||||
\(32\) | 4.14170 | + | 3.85309i | 0.732156 | + | 0.681137i | ||||
\(33\) | −0.300340 | + | 0.465409i | −0.0522824 | + | 0.0810173i | ||||
\(34\) | −0.891096 | + | 1.39409i | −0.152822 | + | 0.239085i | ||||
\(35\) | −4.42096 | + | 3.45746i | −0.747279 | + | 0.584418i | ||||
\(36\) | −5.89287 | − | 1.12874i | −0.982145 | − | 0.188123i | ||||
\(37\) | −5.78353 | − | 3.33912i | −0.950807 | − | 0.548949i | −0.0574753 | − | 0.998347i | \(-0.518305\pi\) |
−0.893331 | + | 0.449398i | \(0.851638\pi\) | |||||||
\(38\) | −1.28440 | − | 0.0580211i | −0.208357 | − | 0.00941227i | ||||
\(39\) | −3.66936 | − | 0.181717i | −0.587568 | − | 0.0290981i | ||||
\(40\) | 0.810079 | − | 5.94496i | 0.128085 | − | 0.939981i | ||||
\(41\) | 1.84041 | − | 1.06256i | 0.287424 | − | 0.165944i | −0.349355 | − | 0.936990i | \(-0.613599\pi\) |
0.636780 | + | 0.771046i | \(0.280266\pi\) | |||||||
\(42\) | 3.49220 | + | 5.45935i | 0.538858 | + | 0.842396i | ||||
\(43\) | −4.49201 | + | 7.78040i | −0.685026 | + | 1.18650i | 0.288403 | + | 0.957509i | \(0.406876\pi\) |
−0.973429 | + | 0.228990i | \(0.926458\pi\) | |||||||
\(44\) | −0.368436 | + | 0.522814i | −0.0555438 | + | 0.0788171i | ||||
\(45\) | 2.62183 | + | 5.79868i | 0.390839 | + | 0.864416i | ||||
\(46\) | 1.34560 | + | 2.59443i | 0.198398 | + | 0.382528i | ||||
\(47\) | −1.88311 | − | 3.26164i | −0.274680 | − | 0.475759i | 0.695375 | − | 0.718647i | \(-0.255238\pi\) |
−0.970054 | + | 0.242888i | \(0.921905\pi\) | |||||||
\(48\) | −6.74567 | − | 1.57984i | −0.973654 | − | 0.228031i | ||||
\(49\) | 1.68691 | − | 6.79370i | 0.240987 | − | 0.970528i | ||||
\(50\) | 0.627892 | − | 0.325656i | 0.0887973 | − | 0.0460547i | ||||
\(51\) | 0.100230 | − | 2.02392i | 0.0140351 | − | 0.283406i | ||||
\(52\) | −4.22493 | − | 0.382492i | −0.585892 | − | 0.0530421i | ||||
\(53\) | 7.60463 | − | 4.39054i | 1.04458 | − | 0.603087i | 0.123450 | − | 0.992351i | \(-0.460604\pi\) |
0.921126 | + | 0.389264i | \(0.127271\pi\) | |||||||
\(54\) | 6.95194 | − | 2.38128i | 0.946040 | − | 0.324051i | ||||
\(55\) | 0.678379 | 0.0914727 | ||||||||
\(56\) | 3.77194 | + | 6.46316i | 0.504047 | + | 0.863676i | ||||
\(57\) | 1.40098 | − | 0.718918i | 0.185564 | − | 0.0952230i | ||||
\(58\) | 8.56333 | + | 0.386838i | 1.12442 | + | 0.0507943i | ||||
\(59\) | −8.23918 | − | 4.75689i | −1.07265 | − | 0.619295i | −0.143746 | − | 0.989615i | \(-0.545915\pi\) |
−0.928904 | + | 0.370320i | \(0.879248\pi\) | |||||||
\(60\) | 2.75177 | + | 6.81366i | 0.355252 | + | 0.879640i | ||||
\(61\) | 6.35504 | + | 11.0072i | 0.813679 | + | 1.40933i | 0.910273 | + | 0.414010i | \(0.135872\pi\) |
−0.0965935 | + | 0.995324i | \(0.530795\pi\) | |||||||
\(62\) | −0.131618 | + | 2.91359i | −0.0167155 | + | 0.370027i | ||||
\(63\) | −7.03128 | − | 3.68254i | −0.885858 | − | 0.463956i | ||||
\(64\) | −7.70833 | − | 2.14047i | −0.963542 | − | 0.267558i | ||||
\(65\) | 2.24973 | + | 3.89665i | 0.279045 | + | 0.483320i | ||||
\(66\) | 0.0740132 | − | 0.779834i | 0.00911039 | − | 0.0959909i | ||||
\(67\) | 5.54026 | − | 9.59600i | 0.676850 | − | 1.17234i | −0.299075 | − | 0.954230i | \(-0.596678\pi\) |
0.975924 | − | 0.218109i | \(-0.0699887\pi\) | |||||||
\(68\) | 0.210972 | − | 2.33036i | 0.0255842 | − | 0.282597i | ||||
\(69\) | −3.00759 | − | 1.94087i | −0.362071 | − | 0.233653i | ||||
\(70\) | 3.29889 | − | 7.21909i | 0.394293 | − | 0.862846i | ||||
\(71\) | − | 8.62377i | − | 1.02345i | −0.859148 | − | 0.511726i | \(-0.829006\pi\) | ||
0.859148 | − | 0.511726i | \(-0.170994\pi\) | |||||||
\(72\) | 8.13290 | − | 2.41992i | 0.958471 | − | 0.285190i | ||||
\(73\) | 12.7272 | − | 7.34807i | 1.48961 | − | 0.860026i | 0.489680 | − | 0.871903i | \(-0.337114\pi\) |
0.999929 | + | 0.0118764i | \(0.00378045\pi\) | |||||||
\(74\) | 9.43485 | + | 0.426207i | 1.09678 | + | 0.0495456i | ||||
\(75\) | −0.469720 | + | 0.727882i | −0.0542386 | + | 0.0840486i | ||||
\(76\) | 1.65022 | − | 0.763454i | 0.189294 | − | 0.0875742i | ||||
\(77\) | −0.666486 | + | 0.521234i | −0.0759532 | + | 0.0594001i | ||||
\(78\) | 4.72486 | − | 2.16105i | 0.534985 | − | 0.244691i | ||||
\(79\) | −0.858019 | + | 0.495378i | −0.0965347 | + | 0.0557343i | −0.547490 | − | 0.836812i | \(-0.684417\pi\) |
0.450955 | + | 0.892546i | \(0.351083\pi\) | |||||||
\(80\) | 2.85388 | + | 7.99080i | 0.319074 | + | 0.893399i | ||||
\(81\) | −5.94480 | + | 6.75717i | −0.660533 | + | 0.750797i | ||||
\(82\) | −1.61862 | + | 2.53227i | −0.178746 | + | 0.279643i | ||||
\(83\) | 1.84473 | + | 1.06505i | 0.202485 | + | 0.116905i | 0.597814 | − | 0.801635i | \(-0.296036\pi\) |
−0.395329 | + | 0.918540i | \(0.629369\pi\) | |||||||
\(84\) | −7.93881 | − | 4.57988i | −0.866195 | − | 0.499706i | ||||
\(85\) | −2.14929 | + | 1.24089i | −0.233123 | + | 0.134594i | ||||
\(86\) | 0.573363 | − | 12.6924i | 0.0618273 | − | 1.36866i | ||||
\(87\) | −9.34056 | + | 4.79316i | −1.00141 | + | 0.513881i | ||||
\(88\) | 0.122124 | − | 0.896239i | 0.0130185 | − | 0.0955394i | ||||
\(89\) | 15.0035 | + | 8.66225i | 1.59036 | + | 0.918197i | 0.993244 | + | 0.116045i | \(0.0370218\pi\) |
0.597120 | + | 0.802152i | \(0.296312\pi\) | |||||||
\(90\) | −7.06708 | − | 5.57259i | −0.744935 | − | 0.587402i | ||||
\(91\) | −5.20429 | − | 2.09975i | −0.545557 | − | 0.220114i | ||||
\(92\) | −3.37855 | − | 2.38092i | −0.352238 | − | 0.248229i | ||||
\(93\) | −1.63083 | − | 3.17804i | −0.169109 | − | 0.329547i | ||||
\(94\) | 4.48778 | + | 2.86856i | 0.462879 | + | 0.295870i | ||||
\(95\) | −1.67016 | − | 0.964266i | −0.171355 | − | 0.0989316i | ||||
\(96\) | 9.49723 | − | 2.40887i | 0.969307 | − | 0.245855i | ||||
\(97\) | −1.09532 | − | 0.632385i | −0.111213 | − | 0.0642089i | 0.443362 | − | 0.896343i | \(-0.353786\pi\) |
−0.554575 | + | 0.832134i | \(0.687119\pi\) | |||||||
\(98\) | 2.30573 | + | 9.62723i | 0.232914 | + | 0.972497i | ||||
\(99\) | 0.395256 | + | 0.874186i | 0.0397247 | + | 0.0878590i | ||||
\(100\) | −0.576220 | + | 0.817661i | −0.0576220 | + | 0.0817661i | ||||
\(101\) | −0.659945 | −0.0656670 | −0.0328335 | − | 0.999461i | \(-0.510453\pi\) | ||||
−0.0328335 | + | 0.999461i | \(0.510453\pi\) | |||||||
\(102\) | 1.19198 | + | 2.60611i | 0.118024 | + | 0.258043i | ||||
\(103\) | 12.2064 | 1.20273 | 0.601367 | − | 0.798973i | \(-0.294623\pi\) | ||||
0.601367 | + | 0.798973i | \(0.294623\pi\) | |||||||
\(104\) | 5.55305 | − | 2.27074i | 0.544522 | − | 0.222664i | ||||
\(105\) | 0.879762 | + | 9.68106i | 0.0858560 | + | 0.944774i | ||||
\(106\) | −6.68816 | + | 10.4634i | −0.649611 | + | 1.01630i | ||||
\(107\) | −7.62429 | + | 13.2057i | −0.737068 | + | 1.27664i | 0.216742 | + | 0.976229i | \(0.430457\pi\) |
−0.953810 | + | 0.300410i | \(0.902876\pi\) | |||||||
\(108\) | −7.17703 | + | 7.51600i | −0.690610 | + | 0.723227i | ||||
\(109\) | 1.61894 | − | 0.934694i | 0.155066 | − | 0.0895274i | −0.420459 | − | 0.907311i | \(-0.638131\pi\) |
0.575525 | + | 0.817784i | \(0.304798\pi\) | |||||||
\(110\) | −0.851643 | + | 0.441704i | −0.0812009 | + | 0.0421148i | ||||
\(111\) | −10.2912 | + | 5.28097i | −0.976795 | + | 0.501248i | ||||
\(112\) | −8.94359 | − | 5.65793i | −0.845090 | − | 0.534624i | ||||
\(113\) | 9.12680 | + | 15.8081i | 0.858577 | + | 1.48710i | 0.873287 | + | 0.487207i | \(0.161984\pi\) |
−0.0147100 | + | 0.999892i | \(0.504683\pi\) | |||||||
\(114\) | −1.29070 | + | 1.81473i | −0.120885 | + | 0.169965i | ||||
\(115\) | 4.38386i | 0.408797i | ||||||||
\(116\) | −11.0023 | + | 5.09009i | −1.02154 | + | 0.472603i | ||||
\(117\) | −3.71057 | + | 5.16947i | −0.343042 | + | 0.477917i | ||||
\(118\) | 13.4408 | + | 0.607172i | 1.23733 | + | 0.0558947i | ||||
\(119\) | 1.15817 | − | 2.87055i | 0.106169 | − | 0.263143i | ||||
\(120\) | −7.89108 | − | 6.76219i | −0.720354 | − | 0.617301i | ||||
\(121\) | −10.8977 | −0.990703 | ||||||||
\(122\) | −15.1452 | − | 9.68071i | −1.37118 | − | 0.876450i | ||||
\(123\) | 0.182062 | − | 3.67632i | 0.0164160 | − | 0.331483i | ||||
\(124\) | −1.73185 | − | 3.74344i | −0.155525 | − | 0.336171i | ||||
\(125\) | 11.6674 | 1.04356 | ||||||||
\(126\) | 11.2249 | + | 0.0448975i | 0.999992 | + | 0.00399979i | ||||
\(127\) | 20.3891i | 1.80924i | 0.426216 | + | 0.904621i | \(0.359846\pi\) | ||||
−0.426216 | + | 0.904621i | \(0.640154\pi\) | |||||||
\(128\) | 11.0708 | − | 2.33186i | 0.978529 | − | 0.206110i | ||||
\(129\) | 7.10432 | + | 13.8444i | 0.625500 | + | 1.21893i | ||||
\(130\) | −5.36150 | − | 3.42705i | −0.470235 | − | 0.300572i | ||||
\(131\) | − | 10.0878i | − | 0.881373i | −0.897661 | − | 0.440686i | \(-0.854735\pi\) | ||
0.897661 | − | 0.440686i | \(-0.145265\pi\) | |||||||
\(132\) | 0.414846 | + | 1.02720i | 0.0361077 | + | 0.0894063i | ||||
\(133\) | 2.38177 | − | 0.335907i | 0.206526 | − | 0.0291268i | ||||
\(134\) | −0.707160 | + | 15.6542i | −0.0610894 | + | 1.35232i | ||||
\(135\) | 10.9013 | + | 1.63026i | 0.938234 | + | 0.140310i | ||||
\(136\) | 1.25248 | + | 3.06292i | 0.107399 | + | 0.262643i | ||||
\(137\) | −1.20102 | −0.102610 | −0.0513049 | − | 0.998683i | \(-0.516338\pi\) | ||||
−0.0513049 | + | 0.998683i | \(0.516338\pi\) | |||||||
\(138\) | 5.03948 | + | 0.478292i | 0.428989 | + | 0.0407149i | ||||
\(139\) | 9.72974 | − | 5.61747i | 0.825266 | − | 0.476467i | −0.0269631 | − | 0.999636i | \(-0.508584\pi\) |
0.852229 | + | 0.523169i | \(0.175250\pi\) | |||||||
\(140\) | 0.559010 | + | 11.2109i | 0.0472450 | + | 0.947490i | ||||
\(141\) | −6.51530 | − | 0.322656i | −0.548687 | − | 0.0271725i | ||||
\(142\) | 5.61508 | + | 10.8263i | 0.471207 | + | 0.908526i | ||||
\(143\) | 0.339161 | + | 0.587444i | 0.0283620 | + | 0.0491245i | ||||
\(144\) | −8.63445 | + | 8.33345i | −0.719537 | + | 0.694454i | ||||
\(145\) | 11.1353 | + | 6.42894i | 0.924733 | + | 0.533895i | ||||
\(146\) | −11.1934 | + | 17.5117i | −0.926373 | + | 1.44928i | ||||
\(147\) | −8.30279 | − | 8.83537i | −0.684802 | − | 0.728729i | ||||
\(148\) | −12.1221 | + | 5.60812i | −0.996429 | + | 0.460985i | ||||
\(149\) | − | 12.7015i | − | 1.04055i | −0.853999 | − | 0.520275i | \(-0.825830\pi\) | ||
0.853999 | − | 0.520275i | \(-0.174170\pi\) | |||||||
\(150\) | 0.115754 | − | 1.21963i | 0.00945126 | − | 0.0995825i | ||||
\(151\) | 9.13537i | 0.743426i | 0.928348 | + | 0.371713i | \(0.121229\pi\) | ||||
−0.928348 | + | 0.371713i | \(0.878771\pi\) | |||||||
\(152\) | −1.57461 | + | 2.03293i | −0.127717 | + | 0.164893i | ||||
\(153\) | −2.85134 | − | 2.04665i | −0.230517 | − | 0.165462i | ||||
\(154\) | 0.497328 | − | 1.08832i | 0.0400758 | − | 0.0876994i | ||||
\(155\) | −2.18739 | + | 3.78866i | −0.175695 | + | 0.304313i | ||||
\(156\) | −4.52453 | + | 5.78944i | −0.362252 | + | 0.463526i | ||||
\(157\) | −1.91326 | + | 3.31386i | −0.152695 | + | 0.264475i | −0.932217 | − | 0.361899i | \(-0.882128\pi\) |
0.779523 | + | 0.626374i | \(0.215462\pi\) | |||||||
\(158\) | 0.754615 | − | 1.18057i | 0.0600339 | − | 0.0939212i | ||||
\(159\) | 0.752284 | − | 15.1906i | 0.0596600 | − | 1.20470i | ||||
\(160\) | −8.78573 | − | 8.17350i | −0.694573 | − | 0.646172i | ||||
\(161\) | −3.36834 | − | 4.30700i | −0.265462 | − | 0.339439i | ||||
\(162\) | 3.06344 | − | 12.3538i | 0.240686 | − | 0.970603i | ||||
\(163\) | −8.01382 | + | 13.8803i | −0.627690 | + | 1.08719i | 0.360323 | + | 0.932827i | \(0.382666\pi\) |
−0.988014 | + | 0.154364i | \(0.950667\pi\) | |||||||
\(164\) | 0.383217 | − | 4.23294i | 0.0299242 | − | 0.330537i | ||||
\(165\) | 0.637106 | − | 0.987265i | 0.0495986 | − | 0.0768585i | ||||
\(166\) | −3.00936 | − | 0.135944i | −0.233572 | − | 0.0105513i | ||||
\(167\) | 6.76985 | + | 11.7257i | 0.523867 | + | 0.907364i | 0.999614 | + | 0.0277818i | \(0.00884437\pi\) |
−0.475747 | + | 0.879582i | \(0.657822\pi\) | |||||||
\(168\) | 12.9485 | + | 0.580524i | 0.998996 | + | 0.0447884i | ||||
\(169\) | 4.25046 | − | 7.36201i | 0.326959 | − | 0.566309i | ||||
\(170\) | 1.89027 | − | 2.95726i | 0.144977 | − | 0.226812i | ||||
\(171\) | 0.269477 | − | 2.71406i | 0.0206074 | − | 0.207549i | ||||
\(172\) | 7.54442 | + | 16.3074i | 0.575257 | + | 1.24343i | ||||
\(173\) | 8.87376 | + | 15.3698i | 0.674659 | + | 1.16854i | 0.976568 | + | 0.215207i | \(0.0690427\pi\) |
−0.301909 | + | 0.953337i | \(0.597624\pi\) | |||||||
\(174\) | 8.60530 | − | 12.0992i | 0.652366 | − | 0.917235i | ||||
\(175\) | −1.04236 | + | 0.815190i | −0.0787950 | + | 0.0616226i | ||||
\(176\) | 0.430240 | + | 1.20466i | 0.0324306 | + | 0.0908048i | ||||
\(177\) | −14.6607 | + | 7.52323i | −1.10197 | + | 0.565481i | ||||
\(178\) | −24.4756 | − | 1.10565i | −1.83452 | − | 0.0828722i | ||||
\(179\) | −10.1442 | − | 17.5702i | −0.758211 | − | 1.31326i | −0.943762 | − | 0.330625i | \(-0.892741\pi\) |
0.185552 | − | 0.982634i | \(-0.440593\pi\) | |||||||
\(180\) | 12.5005 | + | 2.39438i | 0.931729 | + | 0.178466i | ||||
\(181\) | 13.9203 | 1.03469 | 0.517344 | − | 0.855777i | \(-0.326921\pi\) | ||||
0.517344 | + | 0.855777i | \(0.326921\pi\) | |||||||
\(182\) | 7.90068 | − | 0.752552i | 0.585637 | − | 0.0557829i | ||||
\(183\) | 21.9875 | + | 1.08889i | 1.62537 | + | 0.0804928i | ||||
\(184\) | 5.79172 | + | 0.789198i | 0.426971 | + | 0.0581804i | ||||
\(185\) | 12.2685 | + | 7.08323i | 0.901999 | + | 0.520770i | ||||
\(186\) | 4.11662 | + | 2.92787i | 0.301845 | + | 0.214682i | ||||
\(187\) | −0.324018 | + | 0.187072i | −0.0236946 | + | 0.0136801i | ||||
\(188\) | −7.50175 | − | 0.679150i | −0.547122 | − | 0.0495321i | ||||
\(189\) | −11.9628 | + | 6.77434i | −0.870165 | + | 0.492761i | ||||
\(190\) | 2.72458 | + | 0.123079i | 0.197662 | + | 0.00892911i | ||||
\(191\) | 13.7728 | − | 7.95172i | 0.996563 | − | 0.575366i | 0.0893336 | − | 0.996002i | \(-0.471526\pi\) |
0.907230 | + | 0.420636i | \(0.138193\pi\) | |||||||
\(192\) | −10.3544 | + | 9.20792i | −0.747267 | + | 0.664524i | ||||
\(193\) | 2.95775 | − | 5.12297i | 0.212903 | − | 0.368759i | −0.739719 | − | 0.672916i | \(-0.765041\pi\) |
0.952622 | + | 0.304157i | \(0.0983747\pi\) | |||||||
\(194\) | 1.78683 | + | 0.0807178i | 0.128287 | + | 0.00579520i | ||||
\(195\) | 7.78376 | + | 0.385474i | 0.557407 | + | 0.0276044i | ||||
\(196\) | −9.16308 | − | 10.5848i | −0.654506 | − | 0.756057i | ||||
\(197\) | − | 23.2194i | − | 1.65431i | −0.561971 | − | 0.827157i | \(-0.689957\pi\) | ||
0.561971 | − | 0.827157i | \(-0.310043\pi\) | |||||||
\(198\) | −1.06540 | − | 0.840101i | −0.0757150 | − | 0.0597034i | ||||
\(199\) | −4.69169 | − | 8.12625i | −0.332585 | − | 0.576055i | 0.650433 | − | 0.759564i | \(-0.274588\pi\) |
−0.983018 | + | 0.183509i | \(0.941254\pi\) | |||||||
\(200\) | 0.190998 | − | 1.40168i | 0.0135056 | − | 0.0991140i | ||||
\(201\) | −8.76216 | − | 17.0751i | −0.618035 | − | 1.20438i | ||||
\(202\) | 0.828500 | − | 0.429701i | 0.0582930 | − | 0.0302337i | ||||
\(203\) | −15.8797 | + | 2.23955i | −1.11454 | + | 0.157186i | ||||
\(204\) | −3.19330 | − | 2.49561i | −0.223576 | − | 0.174728i | ||||
\(205\) | −3.90404 | + | 2.25400i | −0.272670 | + | 0.157426i | ||||
\(206\) | −15.3240 | + | 7.94780i | −1.06768 | + | 0.553749i | ||||
\(207\) | −5.64921 | + | 2.55424i | −0.392647 | + | 0.177532i | ||||
\(208\) | −5.49283 | + | 6.46638i | −0.380859 | + | 0.448363i | ||||
\(209\) | −0.251786 | − | 0.145369i | −0.0174164 | − | 0.0100554i | ||||
\(210\) | −7.40796 | − | 11.5808i | −0.511198 | − | 0.799154i | ||||
\(211\) | 3.08139 | + | 5.33712i | 0.212132 | + | 0.367423i | 0.952381 | − | 0.304909i | \(-0.0986261\pi\) |
−0.740250 | + | 0.672332i | \(0.765293\pi\) | |||||||
\(212\) | 1.58346 | − | 17.4906i | 0.108753 | − | 1.20126i | ||||
\(213\) | −12.5504 | − | 8.09909i | −0.859940 | − | 0.554940i | ||||
\(214\) | 0.973167 | − | 21.5428i | 0.0665243 | − | 1.47263i | ||||
\(215\) | 9.52884 | − | 16.5044i | 0.649862 | − | 1.12559i | ||||
\(216\) | 4.11630 | − | 14.1087i | 0.280079 | − | 0.959977i | ||||
\(217\) | −0.761986 | − | 5.40292i | −0.0517270 | − | 0.366774i | ||||
\(218\) | −1.42383 | + | 2.22754i | −0.0964340 | + | 0.150868i | ||||
\(219\) | 1.25903 | − | 25.4233i | 0.0850776 | − | 1.71795i | ||||
\(220\) | 0.781557 | − | 1.10904i | 0.0526926 | − | 0.0747713i | ||||
\(221\) | −2.14911 | − | 1.24079i | −0.144564 | − | 0.0834643i | ||||
\(222\) | 9.48109 | − | 13.3305i | 0.636329 | − | 0.894686i | ||||
\(223\) | −5.82293 | + | 10.0856i | −0.389932 | + | 0.675382i | −0.992440 | − | 0.122731i | \(-0.960835\pi\) |
0.602508 | + | 0.798113i | \(0.294168\pi\) | |||||||
\(224\) | 14.9118 | + | 1.27968i | 0.996338 | + | 0.0855025i | ||||
\(225\) | 0.618166 | + | 1.36719i | 0.0412111 | + | 0.0911463i | ||||
\(226\) | −21.7507 | − | 13.9030i | −1.44684 | − | 0.924811i | ||||
\(227\) | − | 16.4372i | − | 1.09097i | −0.838119 | − | 0.545487i | \(-0.816345\pi\) | ||
0.838119 | − | 0.545487i | \(-0.183655\pi\) | |||||||
\(228\) | 0.438746 | − | 3.11862i | 0.0290567 | − | 0.206536i | ||||
\(229\) | 21.4371 | 1.41660 | 0.708300 | − | 0.705911i | \(-0.249462\pi\) | ||||
0.708300 | + | 0.705911i | \(0.249462\pi\) | |||||||
\(230\) | −2.85440 | − | 5.50353i | −0.188214 | − | 0.362892i | ||||
\(231\) | 0.132629 | + | 1.45948i | 0.00872638 | + | 0.0960266i | ||||
\(232\) | 10.4982 | − | 13.5539i | 0.689240 | − | 0.889860i | ||||
\(233\) | 11.1978 | − | 19.3952i | 0.733593 | − | 1.27062i | −0.221744 | − | 0.975105i | \(-0.571175\pi\) |
0.955338 | − | 0.295516i | \(-0.0954916\pi\) | |||||||
\(234\) | 1.29235 | − | 8.90580i | 0.0844839 | − | 0.582190i | ||||
\(235\) | 3.99461 | + | 6.91887i | 0.260580 | + | 0.451337i | ||||
\(236\) | −17.2690 | + | 7.98929i | −1.12412 | + | 0.520058i | ||||
\(237\) | −0.0848791 | + | 1.71394i | −0.00551349 | + | 0.111332i | ||||
\(238\) | 0.415088 | + | 4.35781i | 0.0269062 | + | 0.282475i | ||||
\(239\) | −5.61772 | + | 3.24339i | −0.363380 | + | 0.209798i | −0.670562 | − | 0.741853i | \(-0.733947\pi\) |
0.307182 | + | 0.951651i | \(0.400614\pi\) | |||||||
\(240\) | 14.3095 | + | 3.35130i | 0.923674 | + | 0.216325i | ||||
\(241\) | − | 20.8596i | − | 1.34369i | −0.740693 | − | 0.671843i | \(-0.765503\pi\) | ||
0.740693 | − | 0.671843i | \(-0.234497\pi\) | |||||||
\(242\) | 13.6811 | − | 7.09569i | 0.879454 | − | 0.456128i | ||||
\(243\) | 4.25080 | + | 14.9977i | 0.272689 | + | 0.962102i | ||||
\(244\) | 25.3166 | + | 2.29197i | 1.62073 | + | 0.146728i | ||||
\(245\) | −3.57841 | + | 14.4114i | −0.228616 | + | 0.920709i | ||||
\(246\) | 2.16515 | + | 4.73382i | 0.138045 | + | 0.301817i | ||||
\(247\) | − | 1.92837i | − | 0.122699i | ||||||
\(248\) | 4.61160 | + | 3.57191i | 0.292837 | + | 0.226816i | ||||
\(249\) | 3.28250 | − | 1.68443i | 0.208020 | − | 0.106746i | ||||
\(250\) | −14.6473 | + | 7.59683i | −0.926378 | + | 0.480466i | ||||
\(251\) | 0.292636i | 0.0184710i | 0.999957 | + | 0.00923551i | \(0.00293980\pi\) | ||||
−0.999957 | + | 0.00923551i | \(0.997060\pi\) | |||||||
\(252\) | −14.1210 | + | 7.25234i | −0.889541 | + | 0.456855i | ||||
\(253\) | 0.660893i | 0.0415500i | ||||||||
\(254\) | −13.2757 | − | 25.5967i | −0.832991 | − | 1.60608i | ||||
\(255\) | −0.212617 | + | 4.29332i | −0.0133146 | + | 0.268858i | ||||
\(256\) | −12.3800 | + | 10.1358i | −0.773752 | + | 0.633488i | ||||
\(257\) | − | 7.26821i | − | 0.453379i | −0.973967 | − | 0.226689i | \(-0.927210\pi\) | ||
0.973967 | − | 0.226689i | \(-0.0727902\pi\) | |||||||
\(258\) | −17.9331 | − | 12.7546i | −1.11647 | − | 0.794067i | ||||
\(259\) | −17.4958 | + | 2.46748i | −1.08714 | + | 0.153321i | ||||
\(260\) | 8.96228 | + | 0.811374i | 0.555817 | + | 0.0503193i | ||||
\(261\) | −1.79665 | + | 18.0951i | −0.111210 | + | 1.12006i | ||||
\(262\) | 6.56831 | + | 12.6643i | 0.405792 | + | 0.782401i | ||||
\(263\) | 5.46850i | 0.337202i | 0.985684 | + | 0.168601i | \(0.0539249\pi\) | ||||
−0.985684 | + | 0.168601i | \(0.946075\pi\) | |||||||
\(264\) | −1.18963 | − | 1.01944i | −0.0732165 | − | 0.0627423i | ||||
\(265\) | −16.1316 | + | 9.31358i | −0.990956 | + | 0.572129i | ||||
\(266\) | −2.77138 | + | 1.97251i | −0.169924 | + | 0.120942i | ||||
\(267\) | 26.6971 | − | 13.6997i | 1.63383 | − | 0.838410i | ||||
\(268\) | −9.30496 | − | 20.1129i | −0.568391 | − | 1.22859i | ||||
\(269\) | −4.29903 | − | 7.44614i | −0.262117 | − | 0.453999i | 0.704688 | − | 0.709518i | \(-0.251087\pi\) |
−0.966804 | + | 0.255519i | \(0.917754\pi\) | |||||||
\(270\) | −14.7471 | + | 5.05137i | −0.897477 | + | 0.307417i | ||||
\(271\) | 2.36239 | − | 4.09177i | 0.143505 | − | 0.248558i | −0.785309 | − | 0.619104i | \(-0.787496\pi\) |
0.928814 | + | 0.370546i | \(0.120829\pi\) | |||||||
\(272\) | −3.56669 | − | 3.02970i | −0.216262 | − | 0.183702i | ||||
\(273\) | −7.94348 | + | 5.60194i | −0.480761 | + | 0.339045i | ||||
\(274\) | 1.50777 | − | 0.782002i | 0.0910874 | − | 0.0472425i | ||||
\(275\) | 0.159946 | 0.00964512 | ||||||||
\(276\) | −6.63802 | + | 2.68084i | −0.399562 | + | 0.161368i | ||||
\(277\) | 14.0883i | 0.846481i | 0.906017 | + | 0.423240i | \(0.139107\pi\) | ||||
−0.906017 | + | 0.423240i | \(0.860893\pi\) | |||||||
\(278\) | −8.55716 | + | 13.3874i | −0.513224 | + | 0.802923i | ||||
\(279\) | −6.15669 | − | 0.611293i | −0.368592 | − | 0.0365972i | ||||
\(280\) | −8.00136 | − | 13.7102i | −0.478173 | − | 0.819342i | ||||
\(281\) | 1.60781 | − | 2.78481i | 0.0959139 | − | 0.166128i | −0.814076 | − | 0.580759i | \(-0.802756\pi\) |
0.909990 | + | 0.414631i | \(0.136089\pi\) | |||||||
\(282\) | 8.38944 | − | 3.83715i | 0.499584 | − | 0.228499i | ||||
\(283\) | 23.3428 | + | 13.4769i | 1.38758 | + | 0.801121i | 0.993042 | − | 0.117757i | \(-0.0375705\pi\) |
0.394540 | + | 0.918879i | \(0.370904\pi\) | |||||||
\(284\) | −14.0984 | − | 9.93540i | −0.836587 | − | 0.589557i | ||||
\(285\) | −2.97187 | + | 1.52503i | −0.176038 | + | 0.0903350i | ||||
\(286\) | −0.808279 | − | 0.516648i | −0.0477945 | − | 0.0305500i | ||||
\(287\) | 2.10373 | − | 5.21415i | 0.124179 | − | 0.307782i | ||||
\(288\) | 5.41370 | − | 16.0839i | 0.319006 | − | 0.947753i | ||||
\(289\) | −7.81561 | + | 13.5370i | −0.459742 | + | 0.796297i | ||||
\(290\) | −18.1653 | − | 0.820593i | −1.06670 | − | 0.0481869i | ||||
\(291\) | −1.94901 | + | 1.00014i | −0.114253 | + | 0.0586295i | ||||
\(292\) | 2.65011 | − | 29.2726i | 0.155086 | − | 1.71305i | ||||
\(293\) | 4.65341 | + | 8.05993i | 0.271855 | + | 0.470866i | 0.969337 | − | 0.245736i | \(-0.0790296\pi\) |
−0.697482 | + | 0.716602i | \(0.745696\pi\) | |||||||
\(294\) | 16.1762 | + | 5.68590i | 0.943417 | + | 0.331608i | ||||
\(295\) | 17.4776 | + | 10.0907i | 1.01759 | + | 0.587505i | ||||
\(296\) | 11.5666 | − | 14.9334i | 0.672296 | − | 0.867984i | ||||
\(297\) | 1.64344 | + | 0.245772i | 0.0953618 | + | 0.0142611i | ||||
\(298\) | 8.27017 | + | 15.9456i | 0.479078 | + | 0.923703i | ||||
\(299\) | −3.79621 | + | 2.19174i | −0.219540 | + | 0.126752i | ||||
\(300\) | 0.648804 | + | 1.60650i | 0.0374587 | + | 0.0927515i | ||||
\(301\) | 3.31942 | + | 23.5366i | 0.191328 | + | 1.35663i | ||||
\(302\) | −5.94819 | − | 11.4686i | −0.342280 | − | 0.659944i | ||||
\(303\) | −0.619793 | + | 0.960436i | −0.0356062 | + | 0.0551756i | ||||
\(304\) | 0.653094 | − | 3.57741i | 0.0374575 | − | 0.205179i | ||||
\(305\) | −13.4808 | − | 23.3495i | −0.771911 | − | 1.33699i | ||||
\(306\) | 4.91220 | + | 0.712829i | 0.280812 | + | 0.0407497i | ||||
\(307\) | 27.5568i | 1.57275i | 0.617751 | + | 0.786374i | \(0.288044\pi\) | ||||
−0.617751 | + | 0.786374i | \(0.711956\pi\) | |||||||
\(308\) | 0.0842742 | + | 1.69010i | 0.00480197 | + | 0.0963026i | ||||
\(309\) | 11.4638 | − | 17.7643i | 0.652151 | − | 1.01058i | ||||
\(310\) | 0.279199 | − | 6.18056i | 0.0158574 | − | 0.351032i | ||||
\(311\) | −10.5393 | + | 18.2547i | −0.597631 | + | 1.03513i | 0.395539 | + | 0.918449i | \(0.370558\pi\) |
−0.993170 | + | 0.116678i | \(0.962775\pi\) | |||||||
\(312\) | 1.91053 | − | 10.2141i | 0.108162 | − | 0.578259i | ||||
\(313\) | −14.8066 | + | 8.54862i | −0.836921 | + | 0.483197i | −0.856217 | − | 0.516617i | \(-0.827191\pi\) |
0.0192952 | + | 0.999814i | \(0.493858\pi\) | |||||||
\(314\) | 0.244209 | − | 5.40600i | 0.0137815 | − | 0.305078i | ||||
\(315\) | 14.9154 | + | 7.81171i | 0.840385 | + | 0.440140i | ||||
\(316\) | −0.178660 | + | 1.97344i | −0.0100504 | + | 0.111015i | ||||
\(317\) | 15.2475 | − | 8.80316i | 0.856386 | − | 0.494435i | −0.00641451 | − | 0.999979i | \(-0.502042\pi\) |
0.862800 | + | 0.505545i | \(0.168708\pi\) | |||||||
\(318\) | 8.94646 | + | 19.5603i | 0.501692 | + | 1.09689i | ||||
\(319\) | 1.67871 | + | 0.969202i | 0.0939895 | + | 0.0542649i | ||||
\(320\) | 16.3516 | + | 4.54054i | 0.914081 | + | 0.253824i | ||||
\(321\) | 12.0581 | + | 23.4981i | 0.673020 | + | 1.31153i | ||||
\(322\) | 7.03300 | + | 3.21386i | 0.391934 | + | 0.179101i | ||||
\(323\) | 1.06364 | 0.0591823 | ||||||||
\(324\) | 4.19788 | + | 17.5037i | 0.233215 | + | 0.972425i | ||||
\(325\) | 0.530435 | + | 0.918740i | 0.0294232 | + | 0.0509625i | ||||
\(326\) | 1.02289 | − | 22.6434i | 0.0566524 | − | 1.25410i | ||||
\(327\) | 0.160152 | − | 3.23391i | 0.00885645 | − | 0.178836i | ||||
\(328\) | 2.27504 | + | 5.56358i | 0.125618 | + | 0.307197i | ||||
\(329\) | −9.24070 | − | 3.72831i | −0.509456 | − | 0.205548i | ||||
\(330\) | −0.157003 | + | 1.65425i | −0.00864273 | + | 0.0910635i | ||||
\(331\) | −4.78638 | − | 8.29025i | −0.263083 | − | 0.455673i | 0.703977 | − | 0.710223i | \(-0.251406\pi\) |
−0.967060 | + | 0.254550i | \(0.918073\pi\) | |||||||
\(332\) | 3.86649 | − | 1.78878i | 0.212201 | − | 0.0981720i | ||||
\(333\) | −1.97950 | + | 19.9367i | −0.108476 | + | 1.09253i | ||||
\(334\) | −16.1337 | − | 10.3126i | −0.882799 | − | 0.564280i | ||||
\(335\) | −11.7525 | + | 20.3559i | −0.642106 | + | 1.11216i | ||||
\(336\) | −16.6336 | + | 7.70217i | −0.907437 | + | 0.420188i | ||||
\(337\) | −13.4370 | − | 23.2735i | −0.731959 | − | 1.26779i | −0.956045 | − | 0.293221i | \(-0.905273\pi\) |
0.224086 | − | 0.974569i | \(-0.428060\pi\) | |||||||
\(338\) | −0.542530 | + | 12.0099i | −0.0295098 | + | 0.653251i | ||||
\(339\) | 31.5774 | + | 1.56381i | 1.71505 | + | 0.0849343i | ||||
\(340\) | −0.447533 | + | 4.94335i | −0.0242709 | + | 0.268091i | ||||
\(341\) | −0.329762 | + | 0.571164i | −0.0178576 | + | 0.0309303i | ||||
\(342\) | 1.42886 | + | 3.58271i | 0.0772641 | + | 0.193731i | ||||
\(343\) | −7.55731 | − | 16.9082i | −0.408057 | − | 0.912957i | ||||
\(344\) | −20.0894 | − | 15.5602i | −1.08315 | − | 0.838949i | ||||
\(345\) | 6.37995 | + | 4.11714i | 0.343485 | + | 0.221659i | ||||
\(346\) | −21.1477 | − | 13.5175i | −1.13691 | − | 0.726706i | ||||
\(347\) | 4.13602 | − | 7.16380i | 0.222033 | − | 0.384573i | −0.733392 | − | 0.679806i | \(-0.762064\pi\) |
0.955425 | + | 0.295233i | \(0.0953973\pi\) | |||||||
\(348\) | −2.92520 | + | 20.7924i | −0.156807 | + | 1.11459i | ||||
\(349\) | 13.1783 | − | 22.8255i | 0.705419 | − | 1.22182i | −0.261122 | − | 0.965306i | \(-0.584092\pi\) |
0.966540 | − | 0.256515i | \(-0.0825743\pi\) | |||||||
\(350\) | 0.777803 | − | 1.70209i | 0.0415753 | − | 0.0909807i | ||||
\(351\) | 4.03845 | + | 10.2550i | 0.215557 | + | 0.547374i | ||||
\(352\) | −1.32450 | − | 1.23220i | −0.0705962 | − | 0.0656767i | ||||
\(353\) | 11.2496i | 0.598756i | 0.954135 | + | 0.299378i | \(0.0967792\pi\) | ||||
−0.954135 | + | 0.299378i | \(0.903221\pi\) | |||||||
\(354\) | 13.5067 | − | 18.9906i | 0.717873 | − | 1.00934i | ||||
\(355\) | 18.2935i | 0.970916i | ||||||||
\(356\) | 31.4467 | − | 14.5484i | 1.66667 | − | 0.771065i | ||||
\(357\) | −3.08988 | − | 4.38141i | −0.163534 | − | 0.231889i | ||||
\(358\) | 24.1753 | + | 15.4527i | 1.27771 | + | 0.816702i | ||||
\(359\) | −2.64790 | − | 1.52877i | −0.139751 | − | 0.0806852i | 0.428494 | − | 0.903544i | \(-0.359044\pi\) |
−0.568245 | + | 0.822859i | \(0.692378\pi\) | |||||||
\(360\) | −17.2522 | + | 5.13334i | −0.909270 | + | 0.270551i | ||||
\(361\) | −9.08674 | − | 15.7387i | −0.478249 | − | 0.828352i | ||||
\(362\) | −17.4757 | + | 9.06374i | −0.918500 | + | 0.476380i | ||||
\(363\) | −10.2347 | + | 15.8598i | −0.537182 | + | 0.832422i | ||||
\(364\) | −9.42857 | + | 6.08902i | −0.494192 | + | 0.319152i | ||||
\(365\) | −26.9981 | + | 15.5873i | −1.41314 | + | 0.815879i | ||||
\(366\) | −28.3123 | + | 12.9495i | −1.47991 | + | 0.676879i | ||||
\(367\) | −9.30325 | −0.485626 | −0.242813 | − | 0.970073i | \(-0.578070\pi\) | ||||
−0.242813 | + | 0.970073i | \(0.578070\pi\) | |||||||
\(368\) | −7.78483 | + | 2.78032i | −0.405812 | + | 0.144934i | ||||
\(369\) | −5.17927 | − | 3.71761i | −0.269622 | − | 0.193531i | ||||
\(370\) | −20.0140 | − | 0.904107i | −1.04048 | − | 0.0470023i | ||||
\(371\) | 8.69268 | − | 21.5450i | 0.451302 | − | 1.11856i | ||||
\(372\) | −7.07443 | − | 0.995271i | −0.366792 | − | 0.0516024i | ||||
\(373\) | − | 22.3332i | − | 1.15637i | −0.815907 | − | 0.578184i | \(-0.803762\pi\) | ||
0.815907 | − | 0.578184i | \(-0.196238\pi\) | |||||||
\(374\) | 0.284969 | − | 0.445825i | 0.0147354 | − | 0.0230531i | ||||
\(375\) | 10.9575 | − | 16.9799i | 0.565844 | − | 0.876837i | ||||
\(376\) | 9.85996 | − | 4.03191i | 0.508489 | − | 0.207930i | ||||
\(377\) | 12.8568i | 0.662158i | ||||||||
\(378\) | 10.6073 | − | 16.2937i | 0.545580 | − | 0.838059i | ||||
\(379\) | −13.6812 | −0.702758 | −0.351379 | − | 0.936233i | \(-0.614287\pi\) | ||||
−0.351379 | + | 0.936233i | \(0.614287\pi\) | |||||||
\(380\) | −3.50059 | + | 1.61950i | −0.179577 | + | 0.0830788i | ||||
\(381\) | 29.6729 | + | 19.1486i | 1.52019 | + | 0.981014i | ||||
\(382\) | −12.1130 | + | 18.9503i | −0.619752 | + | 0.969583i | ||||
\(383\) | −12.4662 | −0.636995 | −0.318497 | − | 0.947924i | \(-0.603178\pi\) | ||||
−0.318497 | + | 0.947924i | \(0.603178\pi\) | |||||||
\(384\) | 7.00360 | − | 18.3016i | 0.357401 | − | 0.933951i | ||||
\(385\) | 1.41381 | − | 1.10568i | 0.0720543 | − | 0.0563509i | ||||
\(386\) | −0.377528 | + | 8.35725i | −0.0192157 | + | 0.425373i | ||||
\(387\) | 26.8202 | + | 2.66296i | 1.36335 | + | 0.135366i | ||||
\(388\) | −2.29576 | + | 1.06210i | −0.116549 | + | 0.0539201i | ||||
\(389\) | − | 11.0640i | − | 0.560967i | −0.959859 | − | 0.280484i | \(-0.909505\pi\) | ||
0.959859 | − | 0.280484i | \(-0.0904948\pi\) | |||||||
\(390\) | −10.0228 | + | 4.58421i | −0.507523 | + | 0.232130i | ||||
\(391\) | −1.20891 | − | 2.09389i | −0.0611370 | − | 0.105892i | ||||
\(392\) | 18.3953 | + | 7.32200i | 0.929105 | + | 0.369817i | ||||
\(393\) | −14.6810 | − | 9.47402i | −0.740559 | − | 0.477901i | ||||
\(394\) | 15.1185 | + | 29.1498i | 0.761660 | + | 1.46855i | ||||
\(395\) | 1.82010 | − | 1.05084i | 0.0915793 | − | 0.0528733i | ||||
\(396\) | 1.88452 | + | 0.360967i | 0.0947007 | + | 0.0181393i | ||||
\(397\) | −17.1411 | + | 29.6892i | −0.860286 | + | 1.49006i | 0.0113665 | + | 0.999935i | \(0.496382\pi\) |
−0.871653 | + | 0.490124i | \(0.836951\pi\) | |||||||
\(398\) | 11.1811 | + | 7.14692i | 0.560459 | + | 0.358243i | ||||
\(399\) | 1.74801 | − | 3.78173i | 0.0875099 | − | 0.189323i | ||||
\(400\) | 0.672880 | + | 1.88405i | 0.0336440 | + | 0.0942023i | ||||
\(401\) | 18.7428 | 0.935971 | 0.467985 | − | 0.883736i | \(-0.344980\pi\) | ||||
0.467985 | + | 0.883736i | \(0.344980\pi\) | |||||||
\(402\) | 22.1179 | + | 15.7310i | 1.10314 | + | 0.784590i | ||||
\(403\) | −4.37440 | −0.217904 | ||||||||
\(404\) | −0.760319 | + | 1.07890i | −0.0378273 | + | 0.0536773i | ||||
\(405\) | 12.6106 | − | 14.3339i | 0.626626 | − | 0.712257i | ||||
\(406\) | 18.4773 | − | 13.1511i | 0.917013 | − | 0.652678i | ||||
\(407\) | 1.84955 | + | 1.06784i | 0.0916789 | + | 0.0529309i | ||||
\(408\) | 5.63383 | + | 1.05380i | 0.278916 | + | 0.0521707i | ||||
\(409\) | −23.3003 | − | 13.4524i | −1.15213 | − | 0.665180i | −0.202721 | − | 0.979237i | \(-0.564978\pi\) |
−0.949404 | + | 0.314057i | \(0.898312\pi\) | |||||||
\(410\) | 3.43354 | − | 5.37167i | 0.169571 | − | 0.265288i | ||||
\(411\) | −1.12795 | + | 1.74787i | −0.0556374 | + | 0.0862163i | ||||
\(412\) | 14.0629 | − | 19.9555i | 0.692832 | − | 0.983135i | ||||
\(413\) | −24.9245 | + | 3.51515i | −1.22645 | + | 0.172969i | ||||
\(414\) | 5.42894 | − | 6.88491i | 0.266818 | − | 0.338375i | ||||
\(415\) | −3.91319 | − | 2.25928i | −0.192091 | − | 0.110904i | ||||
\(416\) | 2.68537 | − | 11.6944i | 0.131661 | − | 0.573366i | ||||
\(417\) | 0.962510 | − | 19.4357i | 0.0471343 | − | 0.951769i | ||||
\(418\) | 0.410747 | + | 0.0185550i | 0.0200903 | + | 0.000907552i | ||||
\(419\) | −23.6910 | + | 13.6780i | −1.15738 | + | 0.668215i | −0.950675 | − | 0.310188i | \(-0.899608\pi\) |
−0.206707 | + | 0.978403i | \(0.566275\pi\) | |||||||
\(420\) | 16.8405 | + | 9.71523i | 0.821731 | + | 0.474055i | ||||
\(421\) | −6.02596 | − | 3.47909i | −0.293687 | − | 0.169561i | 0.345916 | − | 0.938265i | \(-0.387568\pi\) |
−0.639604 | + | 0.768705i | \(0.720901\pi\) | |||||||
\(422\) | −7.34349 | − | 4.69392i | −0.357475 | − | 0.228496i | ||||
\(423\) | −6.58847 | + | 9.17887i | −0.320342 | + | 0.446292i | ||||
\(424\) | 9.40054 | + | 22.9889i | 0.456530 | + | 1.11644i | ||||
\(425\) | −0.506753 | + | 0.292574i | −0.0245811 | + | 0.0141919i | ||||
\(426\) | 21.0293 | + | 1.99587i | 1.01887 | + | 0.0967002i | ||||
\(427\) | 31.1851 | + | 12.5821i | 1.50915 | + | 0.608892i | ||||
\(428\) | 12.8051 | + | 27.6786i | 0.618960 | + | 1.33790i | ||||
\(429\) | 1.17345 | + | 0.0581126i | 0.0566547 | + | 0.00280570i | ||||
\(430\) | −1.21627 | + | 26.9242i | −0.0586535 | + | 1.29840i | ||||
\(431\) | −10.7757 | + | 6.22134i | −0.519046 | + | 0.299672i | −0.736544 | − | 0.676389i | \(-0.763544\pi\) |
0.217498 | + | 0.976061i | \(0.430210\pi\) | |||||||
\(432\) | 4.01878 | + | 20.3924i | 0.193354 | + | 0.981129i | ||||
\(433\) | − | 9.58601i | − | 0.460674i | −0.973111 | − | 0.230337i | \(-0.926017\pi\) | ||
0.973111 | − | 0.230337i | \(-0.0739829\pi\) | |||||||
\(434\) | 4.47453 | + | 6.28673i | 0.214785 | + | 0.301773i | ||||
\(435\) | 19.8140 | − | 10.1677i | 0.950008 | − | 0.487502i | ||||
\(436\) | 0.337101 | − | 3.72355i | 0.0161442 | − | 0.178326i | ||||
\(437\) | 0.939411 | − | 1.62711i | 0.0449381 | − | 0.0778351i | ||||
\(438\) | 14.9729 | + | 32.7364i | 0.715434 | + | 1.56420i | ||||
\(439\) | −13.0502 | − | 22.6037i | −0.622854 | − | 1.07882i | −0.988952 | − | 0.148239i | \(-0.952640\pi\) |
0.366097 | − | 0.930577i | \(-0.380694\pi\) | |||||||
\(440\) | −0.259061 | + | 1.90118i | −0.0123502 | + | 0.0906351i | ||||
\(441\) | −20.6560 | + | 3.78547i | −0.983619 | + | 0.180261i | ||||
\(442\) | 3.50590 | + | 0.158374i | 0.166759 | + | 0.00753311i | ||||
\(443\) | 10.3325 | + | 17.8964i | 0.490911 | + | 0.850283i | 0.999945 | − | 0.0104635i | \(-0.00333069\pi\) |
−0.509034 | + | 0.860746i | \(0.669997\pi\) | |||||||
\(444\) | −3.22290 | + | 22.9085i | −0.152952 | + | 1.08719i | ||||
\(445\) | −31.8266 | − | 18.3751i | −1.50873 | − | 0.871064i | ||||
\(446\) | 0.743241 | − | 16.4530i | 0.0351935 | − | 0.779070i | ||||
\(447\) | −18.4849 | − | 11.9287i | −0.874305 | − | 0.564210i | ||||
\(448\) | −19.5536 | + | 8.10281i | −0.923822 | + | 0.382822i | ||||
\(449\) | −19.2783 | −0.909799 | −0.454899 | − | 0.890543i | \(-0.650325\pi\) | ||||
−0.454899 | + | 0.890543i | \(0.650325\pi\) | |||||||
\(450\) | −1.66625 | − | 1.31389i | −0.0785479 | − | 0.0619372i | ||||
\(451\) | −0.588557 | + | 0.339804i | −0.0277141 | + | 0.0160007i | ||||
\(452\) | 36.3585 | + | 3.29161i | 1.71016 | + | 0.154824i | ||||
\(453\) | 13.2950 | + | 8.57956i | 0.624652 | + | 0.403103i | ||||
\(454\) | 10.7025 | + | 20.6354i | 0.502294 | + | 0.968466i | ||||
\(455\) | 11.0398 | + | 4.45417i | 0.517553 | + | 0.208815i | ||||
\(456\) | 1.47978 | + | 4.20082i | 0.0692971 | + | 0.196721i | ||||
\(457\) | 4.32938 | + | 7.49871i | 0.202520 | + | 0.350775i | 0.949340 | − | 0.314252i | \(-0.101754\pi\) |
−0.746820 | + | 0.665026i | \(0.768420\pi\) | |||||||
\(458\) | −26.9122 | + | 13.9580i | −1.25753 | + | 0.652216i | ||||
\(459\) | −5.65641 | + | 2.22750i | −0.264019 | + | 0.103971i | ||||
\(460\) | 7.16687 | + | 5.05062i | 0.334157 | + | 0.235486i | ||||
\(461\) | 5.31318 | − | 9.20269i | 0.247459 | − | 0.428612i | −0.715361 | − | 0.698755i | \(-0.753738\pi\) |
0.962820 | + | 0.270143i | \(0.0870710\pi\) | |||||||
\(462\) | −1.11679 | − | 1.74588i | −0.0519580 | − | 0.0812258i | ||||
\(463\) | −21.8182 | + | 12.5968i | −1.01398 | + | 0.585421i | −0.912354 | − | 0.409402i | \(-0.865737\pi\) |
−0.101625 | + | 0.994823i | \(0.532404\pi\) | |||||||
\(464\) | −4.35430 | + | 23.8513i | −0.202143 | + | 1.10727i | ||||
\(465\) | 3.45945 | + | 6.74152i | 0.160428 | + | 0.312631i | ||||
\(466\) | −1.42929 | + | 31.6399i | −0.0662108 | + | 1.46569i | ||||
\(467\) | 10.6195 | + | 6.13116i | 0.491411 | + | 0.283716i | 0.725159 | − | 0.688581i | \(-0.241766\pi\) |
−0.233749 | + | 0.972297i | \(0.575099\pi\) | |||||||
\(468\) | 4.17628 | + | 12.0219i | 0.193049 | + | 0.555711i | ||||
\(469\) | −4.09402 | − | 29.0290i | −0.189044 | − | 1.34043i | ||||
\(470\) | −9.51985 | − | 6.08504i | −0.439118 | − | 0.280682i | ||||
\(471\) | 3.02590 | + | 5.89666i | 0.139426 | + | 0.271704i | ||||
\(472\) | 16.4777 | − | 21.2740i | 0.758448 | − | 0.979214i | ||||
\(473\) | 1.43653 | − | 2.48814i | 0.0660517 | − | 0.114405i | ||||
\(474\) | −1.00942 | − | 2.20696i | −0.0463640 | − | 0.101369i | ||||
\(475\) | −0.393785 | − | 0.227352i | −0.0180681 | − | 0.0104316i | ||||
\(476\) | −3.35854 | − | 5.20055i | −0.153939 | − | 0.238367i | ||||
\(477\) | −21.4009 | − | 15.3613i | −0.979878 | − | 0.703343i | ||||
\(478\) | 4.94070 | − | 7.72957i | 0.225982 | − | 0.353542i | ||||
\(479\) | 33.6037 | 1.53539 | 0.767695 | − | 0.640815i | \(-0.221404\pi\) | ||||
0.767695 | + | 0.640815i | \(0.221404\pi\) | |||||||
\(480\) | −20.1463 | + | 5.10991i | −0.919550 | + | 0.233234i | ||||
\(481\) | 14.1653i | 0.645880i | ||||||||
\(482\) | 13.5820 | + | 26.1873i | 0.618645 | + | 1.19280i | ||||
\(483\) | −9.43151 | + | 0.857084i | −0.429149 | + | 0.0389987i | ||||
\(484\) | −12.5552 | + | 17.8160i | −0.570692 | + | 0.809817i | ||||
\(485\) | 2.32349 | + | 1.34147i | 0.105504 | + | 0.0609129i | ||||
\(486\) | −15.1017 | − | 16.0604i | −0.685028 | − | 0.728517i | ||||
\(487\) | 20.4364 | − | 11.7990i | 0.926063 | − | 0.534663i | 0.0404987 | − | 0.999180i | \(-0.487105\pi\) |
0.885564 | + | 0.464517i | \(0.153772\pi\) | |||||||
\(488\) | −33.2750 | + | 13.6067i | −1.50629 | + | 0.615947i | ||||
\(489\) | 12.6742 | + | 24.6986i | 0.573147 | + | 1.11691i | ||||
\(490\) | −4.89112 | − | 20.4221i | −0.220958 | − | 0.922577i | ||||
\(491\) | 2.64897 | + | 4.58816i | 0.119547 | + | 0.207061i | 0.919588 | − | 0.392884i | \(-0.128523\pi\) |
−0.800042 | + | 0.599945i | \(0.795189\pi\) | |||||||
\(492\) | −5.80042 | − | 4.53311i | −0.261503 | − | 0.204368i | ||||
\(493\) | −7.09146 | −0.319383 | ||||||||
\(494\) | 1.25559 | + | 2.42089i | 0.0564918 | + | 0.108921i | ||||
\(495\) | −0.838451 | − | 1.85440i | −0.0376856 | − | 0.0833489i | ||||
\(496\) | −8.11516 | − | 1.48151i | −0.364382 | − | 0.0665217i | ||||
\(497\) | −14.0558 | − | 17.9728i | −0.630489 | − | 0.806188i | ||||
\(498\) | −3.02411 | + | 4.25193i | −0.135514 | + | 0.190534i | ||||
\(499\) | −14.3679 | −0.643197 | −0.321598 | − | 0.946876i | \(-0.604220\pi\) | ||||
−0.321598 | + | 0.946876i | \(0.604220\pi\) | |||||||
\(500\) | 13.4419 | − | 19.0742i | 0.601141 | − | 0.853025i | ||||
\(501\) | 23.4227 | + | 1.15996i | 1.04645 | + | 0.0518233i | ||||
\(502\) | −0.190540 | − | 0.367377i | −0.00850422 | − | 0.0163969i | ||||
\(503\) | −35.9894 | −1.60469 | −0.802344 | − | 0.596862i | \(-0.796414\pi\) | ||||
−0.802344 | + | 0.596862i | \(0.796414\pi\) | |||||||
\(504\) | 13.0055 | − | 18.2991i | 0.579312 | − | 0.815106i | ||||
\(505\) | 1.39993 | 0.0622961 | ||||||||
\(506\) | −0.430318 | − | 0.829690i | −0.0191300 | − | 0.0368842i | ||||
\(507\) | −6.72229 | − | 13.0999i | −0.298547 | − | 0.581788i | ||||
\(508\) | 33.3328 | + | 23.4902i | 1.47890 | + | 1.04221i | ||||
\(509\) | −18.7116 | −0.829379 | −0.414690 | − | 0.909963i | \(-0.636110\pi\) | ||||
−0.414690 | + | 0.909963i | \(0.636110\pi\) | |||||||
\(510\) | −2.52853 | − | 5.52830i | −0.111965 | − | 0.244797i | ||||
\(511\) | 14.5482 | − | 36.0581i | 0.643575 | − | 1.59511i | ||||
\(512\) | 8.94239 | − | 20.7854i | 0.395202 | − | 0.918594i | ||||
\(513\) | −3.69676 | − | 2.94111i | −0.163216 | − | 0.129853i | ||||
\(514\) | 4.73245 | + | 9.12457i | 0.208740 | + | 0.402467i | ||||
\(515\) | −25.8933 | −1.14099 | ||||||||
\(516\) | 30.8181 | + | 4.33567i | 1.35669 | + | 0.190867i | ||||
\(517\) | 0.602212 | + | 1.04306i | 0.0264852 | + | 0.0458738i | ||||
\(518\) | 20.3578 | − | 14.4895i | 0.894470 | − | 0.636633i | ||||
\(519\) | 30.7020 | + | 1.52045i | 1.34767 | + | 0.0667403i | ||||
\(520\) | −11.7796 | + | 4.81688i | −0.516570 | + | 0.211234i | ||||
\(521\) | −2.65996 | + | 1.53573i | −0.116535 | + | 0.0672816i | −0.557135 | − | 0.830422i | \(-0.688099\pi\) |
0.440599 | + | 0.897704i | \(0.354766\pi\) | |||||||
\(522\) | −9.52650 | − | 23.8866i | −0.416964 | − | 1.04549i | ||||
\(523\) | 19.7942 | + | 11.4282i | 0.865540 | + | 0.499720i | 0.865863 | − | 0.500280i | \(-0.166770\pi\) |
−0.000323772 | 1.00000i | \(0.500103\pi\) | ||||||||
\(524\) | −16.4918 | − | 11.6221i | −0.720448 | − | 0.507712i | ||||
\(525\) | 0.207428 | + | 2.28257i | 0.00905288 | + | 0.0996195i | ||||
\(526\) | −3.56063 | − | 6.86519i | −0.155251 | − | 0.299337i | ||||
\(527\) | − | 2.41280i | − | 0.105103i | ||||||
\(528\) | 2.15724 | + | 0.505228i | 0.0938819 | + | 0.0219872i | ||||
\(529\) | 18.7291 | 0.814311 | ||||||||
\(530\) | 14.1875 | − | 22.1959i | 0.616265 | − | 0.964127i | ||||
\(531\) | −2.81998 | + | 28.4017i | −0.122377 | + | 1.23253i | ||||
\(532\) | 2.19488 | − | 4.28080i | 0.0951600 | − | 0.185596i | ||||
\(533\) | −3.90371 | − | 2.25381i | −0.169088 | − | 0.0976231i | ||||
\(534\) | −24.5956 | + | 34.5816i | −1.06435 | + | 1.49649i | ||||
\(535\) | 16.1733 | − | 28.0130i | 0.699232 | − | 1.21111i | ||||
\(536\) | 24.7774 | + | 19.1913i | 1.07022 | + | 0.828936i | ||||
\(537\) | −35.0974 | − | 1.73812i | −1.51457 | − | 0.0750056i | ||||
\(538\) | 10.2453 | + | 6.54877i | 0.441708 | + | 0.282337i | ||||
\(539\) | −0.539467 | + | 2.17260i | −0.0232365 | + | 0.0935805i | ||||
\(540\) | 15.2245 | − | 15.9436i | 0.655159 | − | 0.686102i | ||||
\(541\) | 7.47582 | + | 4.31616i | 0.321410 | + | 0.185566i | 0.652021 | − | 0.758201i | \(-0.273921\pi\) |
−0.330611 | + | 0.943767i | \(0.607255\pi\) | |||||||
\(542\) | −0.301536 | + | 6.67503i | −0.0129521 | + | 0.286717i | ||||
\(543\) | 13.0734 | − | 20.2586i | 0.561033 | − | 0.869381i | ||||
\(544\) | 6.45033 | + | 1.48118i | 0.276556 | + | 0.0635049i | ||||
\(545\) | −3.43423 | + | 1.98275i | −0.147106 | + | 0.0849317i | ||||
\(546\) | 6.32478 | − | 12.2049i | 0.270676 | − | 0.522319i | ||||
\(547\) | 7.82089 | − | 13.5462i | 0.334397 | − | 0.579193i | −0.648972 | − | 0.760812i | \(-0.724801\pi\) |
0.983369 | + | 0.181620i | \(0.0581340\pi\) | |||||||
\(548\) | −1.38368 | + | 1.96346i | −0.0591081 | + | 0.0838749i | ||||
\(549\) | 22.2345 | − | 30.9765i | 0.948945 | − | 1.32204i | ||||
\(550\) | −0.200798 | + | 0.104144i | −0.00856204 | + | 0.00444070i | ||||
\(551\) | −2.75530 | − | 4.77232i | −0.117380 | − | 0.203307i | ||||
\(552\) | 6.58789 | − | 7.68767i | 0.280399 | − | 0.327209i | ||||
\(553\) | −0.980782 | + | 2.43089i | −0.0417071 | + | 0.103372i | ||||
\(554\) | −9.17309 | − | 17.6865i | −0.389727 | − | 0.751427i | ||||
\(555\) | 21.8305 | − | 11.2024i | 0.926654 | − | 0.475517i | ||||
\(556\) | 2.02596 | − | 22.3784i | 0.0859199 | − | 0.949054i | ||||
\(557\) | −2.28856 | + | 1.32130i | −0.0969696 | + | 0.0559854i | −0.547701 | − | 0.836674i | \(-0.684497\pi\) |
0.450731 | + | 0.892660i | \(0.351163\pi\) | |||||||
\(558\) | 8.12718 | − | 3.24130i | 0.344051 | − | 0.137215i | ||||
\(559\) | 19.0561 | 0.805985 | ||||||||
\(560\) | 18.9719 | + | 12.0021i | 0.801709 | + | 0.507180i | ||||
\(561\) | −0.0320533 | + | 0.647243i | −0.00135329 | + | 0.0273266i | ||||
\(562\) | −0.205222 | + | 4.54294i | −0.00865675 | + | 0.191632i | ||||
\(563\) | 34.2256 | + | 19.7602i | 1.44244 | + | 0.832792i | 0.998012 | − | 0.0630241i | \(-0.0200745\pi\) |
0.444425 | + | 0.895816i | \(0.353408\pi\) | |||||||
\(564\) | −8.03373 | + | 10.2797i | −0.338281 | + | 0.432853i | ||||
\(565\) | −19.3605 | − | 33.5334i | −0.814504 | − | 1.41076i | ||||
\(566\) | −38.0797 | − | 1.72020i | −1.60061 | − | 0.0723055i | ||||
\(567\) | −1.37607 | + | 23.7720i | −0.0577894 | + | 0.998329i | ||||
\(568\) | 24.1684 | + | 3.29326i | 1.01408 | + | 0.138182i | ||||
\(569\) | 15.7474 | + | 27.2754i | 0.660167 | + | 1.14344i | 0.980572 | + | 0.196162i | \(0.0628477\pi\) |
−0.320405 | + | 0.947281i | \(0.603819\pi\) | |||||||
\(570\) | 2.73793 | − | 3.84957i | 0.114679 | − | 0.161241i | ||||
\(571\) | 12.2257 | − | 21.1755i | 0.511628 | − | 0.886165i | −0.488281 | − | 0.872686i | \(-0.662376\pi\) |
0.999909 | − | 0.0134790i | \(-0.00429062\pi\) | |||||||
\(572\) | 1.35112 | + | 0.122320i | 0.0564930 | + | 0.00511444i | ||||
\(573\) | 1.36246 | − | 27.5118i | 0.0569178 | − | 1.14932i | ||||
\(574\) | 0.753979 | + | 7.91566i | 0.0314705 | + | 0.330393i | ||||
\(575\) | 1.03361i | 0.0431046i | ||||||||
\(576\) | 3.67609 | + | 23.7168i | 0.153170 | + | 0.988200i | ||||
\(577\) | 7.84793 | − | 4.53100i | 0.326713 | − | 0.188628i | −0.327668 | − | 0.944793i | \(-0.606263\pi\) |
0.654381 | + | 0.756165i | \(0.272929\pi\) | |||||||
\(578\) | 0.997588 | − | 22.0834i | 0.0414942 | − | 0.918547i | ||||
\(579\) | −4.67781 | − | 9.11578i | −0.194403 | − | 0.378839i | ||||
\(580\) | 23.3391 | − | 10.7975i | 0.969104 | − | 0.448343i | ||||
\(581\) | 5.58051 | − | 0.787032i | 0.231519 | − | 0.0326516i | ||||
\(582\) | 1.79559 | − | 2.52462i | 0.0744296 | − | 0.104649i | ||||
\(583\) | −2.43193 | + | 1.40408i | −0.100720 | + | 0.0581510i | ||||
\(584\) | 15.7329 | + | 38.4745i | 0.651031 | + | 1.59209i | ||||
\(585\) | 7.87118 | − | 10.9659i | 0.325433 | − | 0.453385i | ||||
\(586\) | −11.0899 | − | 7.08859i | −0.458118 | − | 0.292827i | ||||
\(587\) | −0.329533 | − | 0.190256i | −0.0136013 | − | 0.00785271i | 0.493184 | − | 0.869925i | \(-0.335833\pi\) |
−0.506785 | + | 0.862072i | \(0.669166\pi\) | |||||||
\(588\) | −24.0099 | + | 3.39449i | −0.990153 | + | 0.139986i | ||||
\(589\) | 1.62373 | − | 0.937464i | 0.0669048 | − | 0.0386275i | ||||
\(590\) | −28.5118 | − | 1.28798i | −1.17381 | − | 0.0530255i | ||||
\(591\) | −33.7918 | − | 21.8067i | −1.39001 | − | 0.897008i | ||||
\(592\) | −4.79745 | + | 26.2787i | −0.197174 | + | 1.08005i | ||||
\(593\) | 33.1698 | + | 19.1506i | 1.36212 | + | 0.786420i | 0.989906 | − | 0.141727i | \(-0.0452654\pi\) |
0.372214 | + | 0.928147i | \(0.378599\pi\) | |||||||
\(594\) | −2.22321 | + | 0.761525i | −0.0912193 | + | 0.0312457i | ||||
\(595\) | −2.45680 | + | 6.08925i | −0.100719 | + | 0.249635i | ||||
\(596\) | −20.7649 | − | 14.6334i | −0.850562 | − | 0.599406i | ||||
\(597\) | −16.2326 | − | 0.803885i | −0.664356 | − | 0.0329008i | ||||
\(598\) | 3.33871 | − | 5.22330i | 0.136530 | − | 0.213597i | ||||
\(599\) | −34.9602 | − | 20.1843i | −1.42843 | − | 0.824707i | −0.431437 | − | 0.902143i | \(-0.641993\pi\) |
−0.996997 | + | 0.0774357i | \(0.975327\pi\) | |||||||
\(600\) | −1.86053 | − | 1.59437i | −0.0759560 | − | 0.0650898i | ||||
\(601\) | 11.4673 | + | 6.62065i | 0.467761 | + | 0.270062i | 0.715302 | − | 0.698816i | \(-0.246289\pi\) |
−0.247541 | + | 0.968877i | \(0.579623\pi\) | |||||||
\(602\) | −19.4923 | − | 27.3867i | −0.794446 | − | 1.11620i | ||||
\(603\) | −33.0789 | − | 3.28438i | −1.34708 | − | 0.133750i | ||||
\(604\) | 14.9348 | + | 10.5248i | 0.607688 | + | 0.428248i | ||||
\(605\) | 23.1172 | 0.939847 | ||||||||
\(606\) | 0.152737 | − | 1.60930i | 0.00620450 | − | 0.0653732i | ||||
\(607\) | −45.1223 | −1.83146 | −0.915730 | − | 0.401795i | \(-0.868386\pi\) | ||||
−0.915730 | + | 0.401795i | \(0.868386\pi\) | |||||||
\(608\) | 1.50941 | + | 4.91635i | 0.0612147 | + | 0.199384i | ||||
\(609\) | −11.6543 | + | 25.2135i | −0.472256 | + | 1.02170i | ||||
\(610\) | 32.1272 | + | 20.5355i | 1.30079 | + | 0.831460i | ||||
\(611\) | −3.99427 | + | 6.91827i | −0.161591 | + | 0.279883i | ||||
\(612\) | −6.63095 | + | 2.30353i | −0.268040 | + | 0.0931145i | ||||
\(613\) | −11.3838 | + | 6.57242i | −0.459786 | + | 0.265457i | −0.711954 | − | 0.702226i | \(-0.752190\pi\) |
0.252168 | + | 0.967683i | \(0.418856\pi\) | |||||||
\(614\) | −17.9427 | − | 34.5950i | −0.724107 | − | 1.39614i | ||||
\(615\) | −0.386205 | + | 7.79852i | −0.0155733 | + | 0.314467i | ||||
\(616\) | −1.20625 | − | 2.06690i | −0.0486013 | − | 0.0832776i | ||||
\(617\) | 17.7957 | + | 30.8231i | 0.716429 | + | 1.24089i | 0.962406 | + | 0.271616i | \(0.0875580\pi\) |
−0.245977 | + | 0.969276i | \(0.579109\pi\) | |||||||
\(618\) | −2.82503 | + | 29.7657i | −0.113640 | + | 1.19735i | ||||
\(619\) | − | 4.35759i | − | 0.175146i | −0.996158 | − | 0.0875732i | \(-0.972089\pi\) | ||
0.996158 | − | 0.0875732i | \(-0.0279112\pi\) | |||||||
\(620\) | 3.67376 | + | 7.94091i | 0.147542 | + | 0.318915i | ||||
\(621\) | −1.58824 | + | 10.6203i | −0.0637338 | + | 0.426178i | ||||
\(622\) | 1.34525 | − | 29.7794i | 0.0539394 | − | 1.19404i | ||||
\(623\) | 45.3872 | − | 6.40105i | 1.81840 | − | 0.256453i | ||||
\(624\) | 4.25207 | + | 14.0668i | 0.170219 | + | 0.563124i | ||||
\(625\) | −22.2491 | −0.889964 | ||||||||
\(626\) | 13.0222 | − | 20.3729i | 0.520473 | − | 0.814263i | ||||
\(627\) | −0.448027 | + | 0.229907i | −0.0178925 | + | 0.00918162i | ||||
\(628\) | 3.21335 | + | 6.94573i | 0.128227 | + | 0.277165i | ||||
\(629\) | −7.81318 | −0.311532 | ||||||||
\(630\) | −23.8112 | − | 0.0952404i | −0.948660 | − | 0.00379447i | ||||
\(631\) | 25.8136i | 1.02762i | 0.857903 | + | 0.513811i | \(0.171767\pi\) | ||||
−0.857903 | + | 0.513811i | \(0.828233\pi\) | |||||||
\(632\) | −1.06065 | − | 2.59380i | −0.0421903 | − | 0.103176i | ||||
\(633\) | 10.6612 | + | 0.527972i | 0.423744 | + | 0.0209850i | ||||
\(634\) | −13.4100 | + | 20.9795i | −0.532578 | + | 0.833201i | ||||
\(635\) | − | 43.2512i | − | 1.71637i | ||||||
\(636\) | −23.9675 | − | 18.7309i | −0.950372 | − | 0.742729i | ||||
\(637\) | −14.2686 | + | 4.10634i | −0.565342 | + | 0.162699i | ||||
\(638\) | −2.73852 | − | 0.123709i | −0.108419 | − | 0.00489770i | ||||
\(639\) | −23.5737 | + | 10.6586i | −0.932560 | + | 0.421649i | ||||
\(640\) | −23.4843 | + | 4.94655i | −0.928299 | + | 0.195530i | ||||
\(641\) | −15.5057 | −0.612438 | −0.306219 | − | 0.951961i | \(-0.599064\pi\) | ||||
−0.306219 | + | 0.951961i | \(0.599064\pi\) | |||||||
\(642\) | −30.4379 | − | 21.6484i | −1.20129 | − | 0.854393i | ||||
\(643\) | 15.9485 | − | 9.20786i | 0.628947 | − | 0.363123i | −0.151397 | − | 0.988473i | \(-0.548377\pi\) |
0.780344 | + | 0.625350i | \(0.215044\pi\) | |||||||
\(644\) | −10.9219 | + | 0.544601i | −0.430382 | + | 0.0214603i | ||||
\(645\) | −15.0703 | − | 29.3679i | −0.593392 | − | 1.15636i | ||||
\(646\) | −1.33530 | + | 0.692551i | −0.0525366 | + | 0.0272481i | ||||
\(647\) | 2.59519 | + | 4.49501i | 0.102028 | + | 0.176717i | 0.912520 | − | 0.409032i | \(-0.134134\pi\) |
−0.810492 | + | 0.585749i | \(0.800800\pi\) | |||||||
\(648\) | −16.6670 | − | 19.2409i | −0.654740 | − | 0.755854i | ||||
\(649\) | 2.63486 | + | 1.52124i | 0.103427 | + | 0.0597138i | ||||
\(650\) | −1.26412 | − | 0.808018i | −0.0495828 | − | 0.0316931i | ||||
\(651\) | −8.57865 | − | 3.96526i | −0.336224 | − | 0.155411i | ||||
\(652\) | 13.4594 | + | 29.0927i | 0.527109 | + | 1.13936i | ||||
\(653\) | 43.4044i | 1.69855i | 0.527954 | + | 0.849273i | \(0.322959\pi\) | ||||
−0.527954 | + | 0.849273i | \(0.677041\pi\) | |||||||
\(654\) | 1.90460 | + | 4.16415i | 0.0744756 | + | 0.162831i | ||||
\(655\) | 21.3990i | 0.836130i | ||||||||
\(656\) | −6.47865 | − | 5.50324i | −0.252949 | − | 0.214866i | ||||
\(657\) | −35.8168 | − | 25.7088i | −1.39735 | − | 1.00300i | ||||
\(658\) | 14.0284 | − | 1.33623i | 0.546884 | − | 0.0520916i | ||||
\(659\) | 10.0096 | − | 17.3371i | 0.389918 | − | 0.675357i | −0.602521 | − | 0.798103i | \(-0.705837\pi\) |
0.992438 | + | 0.122746i | \(0.0391702\pi\) | |||||||
\(660\) | −0.880007 | − | 2.17898i | −0.0342542 | − | 0.0848169i | ||||
\(661\) | −8.09255 | + | 14.0167i | −0.314764 | + | 0.545186i | −0.979387 | − | 0.201992i | \(-0.935259\pi\) |
0.664624 | + | 0.747178i | \(0.268592\pi\) | |||||||
\(662\) | 11.4068 | + | 7.29115i | 0.443337 | + | 0.283378i | ||||
\(663\) | −3.82410 | + | 1.96236i | −0.148516 | + | 0.0762117i | ||||
\(664\) | −3.68931 | + | 4.76318i | −0.143173 | + | 0.184847i | ||||
\(665\) | −5.05242 | + | 0.712554i | −0.195924 | + | 0.0276316i | ||||
\(666\) | −10.4960 | − | 26.3176i | −0.406713 | − | 1.01979i | ||||
\(667\) | −6.26322 | + | 10.8482i | −0.242513 | + | 0.420045i | ||||
\(668\) | 26.9691 | + | 2.44157i | 1.04347 | + | 0.0944673i | ||||
\(669\) | 9.20922 | + | 17.9463i | 0.356049 | + | 0.693843i | ||||
\(670\) | 1.50009 | − | 33.2071i | 0.0579535 | − | 1.28290i | ||||
\(671\) | −2.03232 | − | 3.52008i | −0.0784568 | − | 0.135891i | ||||
\(672\) | 15.8669 | − | 20.4998i | 0.612080 | − | 0.790796i | ||||
\(673\) | −6.90438 | + | 11.9587i | −0.266144 | + | 0.460975i | −0.967863 | − | 0.251479i | \(-0.919083\pi\) |
0.701719 | + | 0.712454i | \(0.252416\pi\) | |||||||
\(674\) | 32.0227 | + | 20.4687i | 1.23347 | + | 0.788426i | ||||
\(675\) | 2.57027 | + | 0.384378i | 0.0989298 | + | 0.0147947i | ||||
\(676\) | −7.13873 | − | 15.4305i | −0.274566 | − | 0.593482i | ||||
\(677\) | 10.9263 | + | 18.9249i | 0.419931 | + | 0.727342i | 0.995932 | − | 0.0901070i | \(-0.0287209\pi\) |
−0.576001 | + | 0.817449i | \(0.695388\pi\) | |||||||
\(678\) | −40.6608 | + | 18.5974i | −1.56157 | + | 0.714228i | ||||
\(679\) | −3.31348 | + | 0.467307i | −0.127160 | + | 0.0179336i | ||||
\(680\) | −2.65686 | − | 6.49732i | −0.101886 | − | 0.249161i | ||||
\(681\) | −23.9215 | − | 15.4371i | −0.916674 | − | 0.591552i | ||||
\(682\) | 0.0420909 | − | 0.931757i | 0.00161174 | − | 0.0356788i | ||||
\(683\) | 16.3012 | + | 28.2345i | 0.623747 | + | 1.08036i | 0.988782 | + | 0.149368i | \(0.0477239\pi\) |
−0.365034 | + | 0.930994i | \(0.618943\pi\) | |||||||
\(684\) | −4.12657 | − | 3.56740i | −0.157783 | − | 0.136403i | ||||
\(685\) | 2.54770 | 0.0973426 | ||||||||
\(686\) | 20.4967 | + | 16.3060i | 0.782568 | + | 0.622565i | ||||
\(687\) | 20.1328 | − | 31.1980i | 0.768114 | − | 1.19028i | ||||
\(688\) | 35.3518 | + | 6.45385i | 1.34778 | + | 0.246051i | ||||
\(689\) | −16.1302 | − | 9.31278i | −0.614512 | − | 0.354789i | ||||
\(690\) | −10.6902 | − | 1.01459i | −0.406968 | − | 0.0386249i | ||||
\(691\) | 2.08275 | − | 1.20248i | 0.0792317 | − | 0.0457444i | −0.459861 | − | 0.887991i | \(-0.652101\pi\) |
0.539092 | + | 0.842247i | \(0.318767\pi\) | |||||||
\(692\) | 35.3505 | + | 3.20035i | 1.34382 | + | 0.121659i | ||||
\(693\) | 2.24858 | + | 1.17766i | 0.0854165 | + | 0.0447357i | ||||
\(694\) | −0.527923 | + | 11.6865i | −0.0200397 | + | 0.443614i | ||||
\(695\) | −20.6396 | + | 11.9163i | −0.782903 | + | 0.452009i | ||||
\(696\) | −9.86598 | − | 28.0076i | −0.373969 | − | 1.06163i | ||||
\(697\) | 1.24314 | − | 2.15318i | 0.0470873 | − | 0.0815575i | ||||
\(698\) | −1.68208 | + | 37.2359i | −0.0636678 | + | 1.40940i | ||||
\(699\) | −17.7098 | − | 34.5117i | −0.669848 | − | 1.30535i | ||||
\(700\) | 0.131802 | + | 2.64326i | 0.00498164 | + | 0.0999058i | ||||
\(701\) | 31.0300i | 1.17199i | 0.810316 | + | 0.585993i | \(0.199295\pi\) | ||||
−0.810316 | + | 0.585993i | \(0.800705\pi\) | |||||||
\(702\) | −11.7471 | − | 10.2448i | −0.443367 | − | 0.386663i | ||||
\(703\) | −3.03571 | − | 5.25801i | −0.114494 | − | 0.198309i | ||||
\(704\) | 2.46510 | + | 0.684514i | 0.0929069 | + | 0.0257986i | ||||
\(705\) | 13.8208 | + | 0.684445i | 0.520521 | + | 0.0257777i | ||||
\(706\) | −7.32481 | − | 14.1228i | −0.275673 | − | 0.531520i | ||||
\(707\) | −1.37539 | + | 1.07564i | −0.0517268 | + | 0.0404535i | ||||
\(708\) | −4.59133 | + | 32.6353i | −0.172553 | + | 1.22651i | ||||
\(709\) | −22.2607 | + | 12.8522i | −0.836018 | + | 0.482675i | −0.855909 | − | 0.517127i | \(-0.827001\pi\) |
0.0198909 | + | 0.999802i | \(0.493668\pi\) | |||||||
\(710\) | −11.9112 | − | 22.9658i | −0.447019 | − | 0.861889i | ||||
\(711\) | 2.41463 | + | 1.73319i | 0.0905556 | + | 0.0649996i | ||||
\(712\) | −30.0058 | + | 38.7397i | −1.12451 | + | 1.45183i | ||||
\(713\) | −3.69100 | − | 2.13100i | −0.138229 | − | 0.0798067i | ||||
\(714\) | 6.73187 | + | 3.48858i | 0.251934 | + | 0.130557i | ||||
\(715\) | −0.719456 | − | 1.24614i | −0.0269061 | − | 0.0466028i | ||||
\(716\) | −40.4114 | − | 3.65853i | −1.51024 | − | 0.136726i | ||||
\(717\) | −0.555730 | + | 11.2217i | −0.0207541 | + | 0.419081i | ||||
\(718\) | 4.31960 | + | 0.195132i | 0.161206 | + | 0.00728227i | ||||
\(719\) | 7.12292 | − | 12.3373i | 0.265640 | − | 0.460102i | −0.702091 | − | 0.712087i | \(-0.747750\pi\) |
0.967731 | + | 0.251985i | \(0.0810834\pi\) | |||||||
\(720\) | 18.3161 | − | 17.6776i | 0.682602 | − | 0.658806i | ||||
\(721\) | 25.4393 | − | 19.8951i | 0.947411 | − | 0.740934i | ||||
\(722\) | 21.6553 | + | 13.8419i | 0.805926 | + | 0.515144i | ||||
\(723\) | −30.3576 | − | 19.5905i | −1.12901 | − | 0.728579i | ||||
\(724\) | 16.0375 | − | 22.7574i | 0.596030 | − | 0.845771i | ||||
\(725\) | 2.62544 | + | 1.51580i | 0.0975062 | + | 0.0562952i | ||||
\(726\) | 2.52215 | − | 26.5745i | 0.0936059 | − | 0.986271i | ||||
\(727\) | 5.29020 | − | 9.16289i | 0.196203 | − | 0.339833i | −0.751092 | − | 0.660198i | \(-0.770472\pi\) |
0.947294 | + | 0.320365i | \(0.103806\pi\) | |||||||
\(728\) | 7.87204 | − | 13.7833i | 0.291757 | − | 0.510843i | ||||
\(729\) | 25.8187 | + | 7.89891i | 0.956250 | + | 0.292552i | ||||
\(730\) | 23.7444 | − | 37.1474i | 0.878820 | − | 1.37489i | ||||
\(731\) | 10.5108i | 0.388757i | ||||||||
\(732\) | 27.1119 | − | 34.6915i | 1.00208 | − | 1.28223i | ||||
\(733\) | 2.24343 | 0.0828630 | 0.0414315 | − | 0.999141i | \(-0.486808\pi\) | ||||
0.0414315 | + | 0.999141i | \(0.486808\pi\) | |||||||
\(734\) | 11.6794 | − | 6.05750i | 0.431093 | − | 0.223586i | ||||
\(735\) | 17.6126 | + | 18.7423i | 0.649650 | + | 0.691321i | ||||
\(736\) | 7.96281 | − | 8.55926i | 0.293513 | − | 0.315499i | ||||
\(737\) | −1.77175 | + | 3.06877i | −0.0652634 | + | 0.113040i | ||||
\(738\) | 8.92269 | + | 1.29481i | 0.328449 | + | 0.0476624i | ||||
\(739\) | −18.9929 | − | 32.8967i | −0.698666 | − | 1.21013i | −0.968929 | − | 0.247339i | \(-0.920444\pi\) |
0.270263 | − | 0.962787i | \(-0.412889\pi\) | |||||||
\(740\) | 25.7144 | − | 11.8964i | 0.945280 | − | 0.437321i | ||||
\(741\) | −2.80641 | − | 1.81104i | −0.103096 | − | 0.0665303i | ||||
\(742\) | 3.11546 | + | 32.7077i | 0.114372 | + | 1.20074i | ||||
\(743\) | −9.49927 | + | 5.48441i | −0.348494 | + | 0.201203i | −0.664022 | − | 0.747713i | \(-0.731152\pi\) |
0.315528 | + | 0.948916i | \(0.397819\pi\) | |||||||
\(744\) | 9.52932 | − | 3.35680i | 0.349362 | − | 0.123066i | ||||
\(745\) | 26.9435i | 0.987135i | ||||||||
\(746\) | 14.5415 | + | 28.0372i | 0.532402 | + | 1.02652i | ||||
\(747\) | 0.631386 | − | 6.35906i | 0.0231012 | − | 0.232666i | ||||
\(748\) | −0.0674682 | + | 0.745240i | −0.00246688 | + | 0.0272487i | ||||
\(749\) | 5.63404 | + | 39.9486i | 0.205863 | + | 1.45969i | ||||
\(750\) | −2.70028 | + | 28.4513i | −0.0986003 | + | 1.03889i | ||||
\(751\) | 45.2004i | 1.64939i | 0.565581 | + | 0.824693i | \(0.308652\pi\) | ||||
−0.565581 | + | 0.824693i | \(0.691348\pi\) | |||||||
\(752\) | −9.75303 | + | 11.4817i | −0.355656 | + | 0.418693i | ||||
\(753\) | 0.425882 | + | 0.274832i | 0.0155200 | + | 0.0100154i | ||||
\(754\) | −8.37126 | − | 16.1405i | −0.304863 | − | 0.587802i | ||||
\(755\) | − | 19.3787i | − | 0.705264i | ||||||
\(756\) | −2.70735 | + | 27.3618i | −0.0984654 | + | 0.995140i | ||||
\(757\) | − | 28.6281i | − | 1.04051i | −0.854012 | − | 0.520253i | \(-0.825838\pi\) | ||
0.854012 | − | 0.520253i | \(-0.174162\pi\) | |||||||
\(758\) | 17.1755 | − | 8.90808i | 0.623843 | − | 0.323556i | ||||
\(759\) | 0.961816 | + | 0.620683i | 0.0349117 | + | 0.0225294i | ||||
\(760\) | 3.34019 | − | 4.31243i | 0.121161 | − | 0.156428i | ||||
\(761\) | − | 36.9345i | − | 1.33888i | −0.742868 | − | 0.669438i | \(-0.766535\pi\) | ||
0.742868 | − | 0.669438i | \(-0.233465\pi\) | |||||||
\(762\) | −49.7195 | − | 4.71883i | −1.80115 | − | 0.170945i | ||||
\(763\) | 1.85057 | − | 4.58668i | 0.0669951 | − | 0.166049i | ||||
\(764\) | 2.86782 | − | 31.6773i | 0.103754 | − | 1.14605i | ||||
\(765\) | 6.04851 | + | 4.34153i | 0.218684 | + | 0.156969i | ||||
\(766\) | 15.6502 | − | 8.11697i | 0.565465 | − | 0.293278i | ||||
\(767\) | 20.1797i | 0.728647i | ||||||||
\(768\) | 3.12412 | + | 27.5362i | 0.112732 | + | 0.993625i | ||||
\(769\) | 5.41887 | − | 3.12859i | 0.195409 | − | 0.112820i | −0.399103 | − | 0.916906i | \(-0.630678\pi\) |
0.594512 | + | 0.804086i | \(0.297345\pi\) | |||||||
\(770\) | −1.05497 | + | 2.30864i | −0.0380186 | + | 0.0831975i | ||||
\(771\) | −10.5776 | − | 6.82601i | −0.380944 | − | 0.245833i | ||||
\(772\) | −4.96759 | − | 10.7376i | −0.178788 | − | 0.386454i | ||||
\(773\) | −9.88044 | − | 17.1134i | −0.355375 | − | 0.615527i | 0.631807 | − | 0.775125i | \(-0.282313\pi\) |
−0.987182 | + | 0.159598i | \(0.948980\pi\) | |||||||
\(774\) | −35.4042 | + | 14.1200i | −1.27258 | + | 0.507532i | ||||
\(775\) | −0.515735 | + | 0.893279i | −0.0185257 | + | 0.0320875i | ||||
\(776\) | 2.19056 | − | 2.82818i | 0.0786365 | − | 0.101526i | ||||
\(777\) | −12.8404 | + | 27.7795i | −0.460646 | + | 0.996586i | ||||
\(778\) | 7.20395 | + | 13.8898i | 0.258274 | + | 0.497974i | ||||
\(779\) | 1.93202 | 0.0692220 | ||||||||
\(780\) | 9.59782 | − | 12.2810i | 0.343657 | − | 0.439732i | ||||
\(781\) | 2.75785i | 0.0986836i | ||||||||
\(782\) | 2.88103 | + | 1.84154i | 0.103026 | + | 0.0658534i | ||||
\(783\) | 24.6470 | + | 19.6089i | 0.880812 | + | 0.700765i | ||||
\(784\) | −27.8611 | + | 2.78542i | −0.995040 | + | 0.0994793i | ||||
\(785\) | 4.05856 | − | 7.02964i | 0.144856 | − | 0.250899i | ||||
\(786\) | 24.5993 | + | 2.33470i | 0.877430 | + | 0.0832759i | ||||
\(787\) | 0.658376 | + | 0.380113i | 0.0234686 | + | 0.0135496i | 0.511688 | − | 0.859171i | \(-0.329020\pi\) |
−0.488220 | + | 0.872721i | \(0.662354\pi\) | |||||||
\(788\) | −37.9598 | − | 26.7509i | −1.35226 | − | 0.952963i | ||||
\(789\) | 7.95846 | + | 5.13579i | 0.283329 | + | 0.182839i | ||||
\(790\) | −1.60075 | + | 2.50433i | −0.0569522 | + | 0.0891000i | ||||
\(791\) | 44.7866 | + | 18.0698i | 1.59243 | + | 0.642490i | ||||
\(792\) | −2.60087 | + | 0.773882i | −0.0924179 | + | 0.0274987i | ||||
\(793\) | 13.4797 | − | 23.3475i | 0.478678 | − | 0.829094i | ||||
\(794\) | 2.18789 | − | 48.4329i | 0.0776455 | − | 1.71882i | ||||
\(795\) | −1.59581 | + | 32.2237i | −0.0565975 | + | 1.14286i | ||||
\(796\) | −18.6903 | − | 1.69208i | −0.662461 | − | 0.0599741i | ||||
\(797\) | −1.36037 | − | 2.35622i | −0.0481866 | − | 0.0834617i | 0.840926 | − | 0.541150i | \(-0.182011\pi\) |
−0.889113 | + | 0.457688i | \(0.848678\pi\) | |||||||
\(798\) | 0.267885 | + | 5.88577i | 0.00948303 | + | 0.208354i | ||||
\(799\) | −3.81594 | − | 2.20313i | −0.134998 | − | 0.0779412i | ||||
\(800\) | −2.07147 | − | 1.92712i | −0.0732376 | − | 0.0681341i | ||||
\(801\) | 5.13516 | − | 51.7192i | 0.181442 | − | 1.82741i | ||||
\(802\) | −23.5299 | + | 12.2037i | −0.830868 | + | 0.430929i | ||||
\(803\) | −4.07012 | + | 2.34989i | −0.143631 | + | 0.0829257i | ||||
\(804\) | −38.0097 | − | 5.34743i | −1.34050 | − | 0.188589i | ||||
\(805\) | 7.14521 | + | 9.13638i | 0.251836 | + | 0.322015i | ||||
\(806\) | 5.49165 | − | 2.84824i | 0.193435 | − | 0.100325i | ||||
\(807\) | −14.8741 | − | 0.736606i | −0.523591 | − | 0.0259297i | ||||
\(808\) | 0.252021 | − | 1.84951i | 0.00886606 | − | 0.0650657i | ||||
\(809\) | 17.8859 | + | 30.9794i | 0.628836 | + | 1.08918i | 0.987786 | + | 0.155820i | \(0.0498018\pi\) |
−0.358949 | + | 0.933357i | \(0.616865\pi\) | |||||||
\(810\) | −6.49842 | + | 26.2058i | −0.228331 | + | 0.920780i | ||||
\(811\) | − | 26.6536i | − | 0.935934i | −0.883746 | − | 0.467967i | \(-0.844987\pi\) | ||
0.883746 | − | 0.467967i | \(-0.155013\pi\) | |||||||
\(812\) | −14.6336 | + | 28.5409i | −0.513540 | + | 1.00159i | ||||
\(813\) | −3.73622 | − | 7.28087i | −0.131035 | − | 0.255351i | ||||
\(814\) | −3.01723 | − | 0.136300i | −0.105754 | − | 0.00477730i | ||||
\(815\) | 16.9996 | − | 29.4441i | 0.595470 | − | 1.03138i | ||||
\(816\) | −7.75889 | + | 2.34533i | −0.271616 | + | 0.0821031i | ||||
\(817\) | −7.07343 | + | 4.08384i | −0.247468 | + | 0.142876i | ||||
\(818\) | 38.0104 | + | 1.71707i | 1.32900 | + | 0.0600361i | ||||
\(819\) | 0.692481 | + | 16.8215i | 0.0241972 | + | 0.587790i | ||||
\(820\) | −0.812913 | + | 8.97927i | −0.0283882 | + | 0.313570i | ||||
\(821\) | 28.7203 | − | 16.5817i | 1.00235 | − | 0.578705i | 0.0934046 | − | 0.995628i | \(-0.470225\pi\) |
0.908942 | + | 0.416923i | \(0.136892\pi\) | |||||||
\(822\) | 0.277961 | − | 2.92872i | 0.00969501 | − | 0.102151i | ||||
\(823\) | −29.1161 | − | 16.8102i | −1.01492 | − | 0.585966i | −0.102294 | − | 0.994754i | \(-0.532618\pi\) |
−0.912629 | + | 0.408788i | \(0.865952\pi\) | |||||||
\(824\) | −4.66140 | + | 34.2088i | −0.162388 | + | 1.19172i | ||||
\(825\) | 0.150215 | − | 0.232774i | 0.00522981 | − | 0.00810416i | ||||
\(826\) | 29.0016 | − | 20.6417i | 1.00909 | − | 0.718215i | ||||
\(827\) | −24.1898 | −0.841161 | −0.420581 | − | 0.907255i | \(-0.638174\pi\) | ||||
−0.420581 | + | 0.907255i | \(0.638174\pi\) | |||||||
\(828\) | −2.33266 | + | 12.1782i | −0.0810655 | + | 0.423223i | ||||
\(829\) | 16.4721 | + | 28.5306i | 0.572101 | + | 0.990908i | 0.996350 | + | 0.0853625i | \(0.0272048\pi\) |
−0.424249 | + | 0.905546i | \(0.639462\pi\) | |||||||
\(830\) | 6.38371 | + | 0.288376i | 0.221582 | + | 0.0100097i | ||||
\(831\) | 20.5030 | + | 13.2311i | 0.711242 | + | 0.458982i | ||||
\(832\) | 4.24320 | + | 16.4297i | 0.147106 | + | 0.569599i | ||||
\(833\) | −2.26495 | − | 7.87018i | −0.0784758 | − | 0.272686i | ||||
\(834\) | 11.4465 | + | 25.0264i | 0.396361 | + | 0.866593i | ||||
\(835\) | −14.3608 | − | 24.8736i | −0.496975 | − | 0.860787i | ||||
\(836\) | −0.527736 | + | 0.244150i | −0.0182521 | + | 0.00844410i | ||||
\(837\) | −6.67174 | + | 8.38591i | −0.230609 | + | 0.289859i | ||||
\(838\) | 20.8359 | − | 32.5971i | 0.719764 | − | 1.12605i | ||||
\(839\) | −18.6114 | + | 32.2359i | −0.642536 | + | 1.11291i | 0.342328 | + | 0.939580i | \(0.388784\pi\) |
−0.984865 | + | 0.173325i | \(0.944549\pi\) | |||||||
\(840\) | −27.4674 | − | 1.23146i | −0.947716 | − | 0.0424893i | ||||
\(841\) | 3.87008 | + | 6.70317i | 0.133451 | + | 0.231144i | ||||
\(842\) | 9.83033 | + | 0.444073i | 0.338776 | + | 0.0153037i | ||||
\(843\) | −2.54282 | − | 4.95527i | −0.0875795 | − | 0.170669i | ||||
\(844\) | 12.2754 | + | 1.11131i | 0.422535 | + | 0.0382530i | ||||
\(845\) | −9.01644 | + | 15.6169i | −0.310175 | + | 0.537239i | ||||
\(846\) | 2.29470 | − | 15.8131i | 0.0788933 | − | 0.543665i | ||||
\(847\) | −22.7119 | + | 17.7621i | −0.780390 | + | 0.610314i | ||||
\(848\) | −26.7699 | − | 22.7395i | −0.919283 | − | 0.780879i | ||||
\(849\) | 41.5359 | − | 21.3144i | 1.42551 | − | 0.731508i | ||||
\(850\) | 0.445681 | − | 0.697254i | 0.0152867 | − | 0.0239156i | ||||
\(851\) | −6.90065 | + | 11.9523i | −0.236551 | + | 0.409719i | ||||
\(852\) | −27.6999 | + | 11.1869i | −0.948983 | + | 0.383257i | ||||
\(853\) | 22.9225 | − | 39.7029i | 0.784850 | − | 1.35940i | −0.144239 | − | 0.989543i | \(-0.546073\pi\) |
0.929089 | − | 0.369857i | \(-0.120593\pi\) | |||||||
\(854\) | −47.3425 | + | 4.50944i | −1.62003 | + | 0.154310i | ||||
\(855\) | −0.571637 | + | 5.75729i | −0.0195496 | + | 0.196895i | ||||
\(856\) | −34.0977 | − | 26.4103i | −1.16543 | − | 0.902685i | ||||
\(857\) | − | 17.9274i | − | 0.612390i | −0.951969 | − | 0.306195i | \(-0.900944\pi\) | ||
0.951969 | − | 0.306195i | \(-0.0990559\pi\) | |||||||
\(858\) | −1.51099 | + | 0.691097i | −0.0515845 | + | 0.0235937i | ||||
\(859\) | 10.7566i | 0.367009i | 0.983019 | + | 0.183504i | \(0.0587442\pi\) | ||||
−0.983019 | + | 0.183504i | \(0.941256\pi\) | |||||||
\(860\) | −16.0039 | − | 34.5927i | −0.545727 | − | 1.17960i | ||||
\(861\) | −5.61257 | − | 7.95854i | −0.191276 | − | 0.271226i | ||||
\(862\) | 9.47705 | − | 14.8265i | 0.322790 | − | 0.504994i | ||||
\(863\) | −11.0595 | − | 6.38520i | −0.376470 | − | 0.217355i | 0.299811 | − | 0.953998i | \(-0.403076\pi\) |
−0.676281 | + | 0.736644i | \(0.736410\pi\) | |||||||
\(864\) | −18.3230 | − | 22.9841i | −0.623362 | − | 0.781933i | ||||
\(865\) | −18.8238 | − | 32.6037i | −0.640027 | − | 1.10856i | ||||
\(866\) | 6.24161 | + | 12.0343i | 0.212098 | + | 0.408944i | ||||
\(867\) | 12.3607 | + | 24.0877i | 0.419793 | + | 0.818062i | ||||
\(868\) | −9.71076 | − | 4.97896i | −0.329605 | − | 0.168997i | ||||
\(869\) | 0.274391 | − | 0.158420i | 0.00930809 | − | 0.00537403i | ||||
\(870\) | −18.2543 | + | 25.6658i | −0.618879 | + | 0.870151i | ||||
\(871\) | −23.5029 | −0.796366 | ||||||||
\(872\) | 2.00126 | + | 4.89406i | 0.0677713 | + | 0.165734i | ||||
\(873\) | −0.374891 | + | 3.77574i | −0.0126881 | + | 0.127790i | ||||
\(874\) | −0.119907 | + | 2.65435i | −0.00405591 | + | 0.0897846i | ||||
\(875\) | 24.3159 | − | 19.0166i | 0.822029 | − | 0.642877i | ||||
\(876\) | −40.1123 | − | 31.3483i | −1.35527 | − | 1.05916i | ||||
\(877\) | − | 5.53644i | − | 0.186952i | −0.995622 | − | 0.0934761i | \(-0.970202\pi\) | ||
0.995622 | − | 0.0934761i | \(-0.0297979\pi\) | |||||||
\(878\) | 31.1010 | + | 19.8796i | 1.04961 | + | 0.670904i | ||||
\(879\) | 16.1001 | + | 0.797325i | 0.543044 | + | 0.0268931i | ||||
\(880\) | −0.912662 | − | 2.55543i | −0.0307658 | − | 0.0861436i | ||||
\(881\) | − | 0.926054i | − | 0.0311996i | −0.999878 | − | 0.0155998i | \(-0.995034\pi\) | ||
0.999878 | − | 0.0155998i | \(-0.00496576\pi\) | |||||||
\(882\) | 23.4669 | − | 18.2018i | 0.790172 | − | 0.612885i | ||||
\(883\) | −8.89286 | −0.299269 | −0.149634 | − | 0.988741i | \(-0.547810\pi\) | ||||
−0.149634 | + | 0.988741i | \(0.547810\pi\) | |||||||
\(884\) | −4.50445 | + | 2.08392i | −0.151501 | + | 0.0700900i | ||||
\(885\) | 31.0996 | − | 15.9589i | 1.04540 | − | 0.536453i | ||||
\(886\) | −24.6241 | − | 15.7396i | −0.827263 | − | 0.528782i | ||||
\(887\) | −23.5154 | −0.789571 | −0.394786 | − | 0.918773i | \(-0.629181\pi\) | ||||
−0.394786 | + | 0.918773i | \(0.629181\pi\) | |||||||
\(888\) | −10.8701 | − | 30.8580i | −0.364775 | − | 1.03553i | ||||
\(889\) | 33.2321 | + | 42.4929i | 1.11457 | + | 1.42517i | ||||
\(890\) | 51.9197 | + | 2.34541i | 1.74035 | + | 0.0786182i | ||||
\(891\) | 1.90113 | − | 2.16092i | 0.0636901 | − | 0.0723935i | ||||
\(892\) | 9.77972 | + | 21.1391i | 0.327449 | + | 0.707789i | ||||
\(893\) | − | 3.42400i | − | 0.114580i | ||||||
\(894\) | 30.9731 | + | 2.93962i | 1.03589 | + | 0.0983156i | ||||
\(895\) | 21.5187 | + | 37.2714i | 0.719290 | + | 1.24585i | ||||
\(896\) | 19.2719 | − | 22.9040i | 0.643829 | − | 0.765169i | ||||
\(897\) | −0.375538 | + | 7.58312i | −0.0125388 | + | 0.253193i | ||||
\(898\) | 24.2021 | − | 12.5524i | 0.807635 | − | 0.418879i | ||||
\(899\) | −10.8257 | + | 6.25024i | −0.361059 | + | 0.208457i | ||||
\(900\) | 2.94732 | + | 0.564539i | 0.0982440 | + | 0.0188180i | ||||
\(901\) | 5.13668 | − | 8.89700i | 0.171128 | − | 0.296402i | ||||
\(902\) | 0.517627 | − | 0.809812i | 0.0172351 | − | 0.0269638i | ||||
\(903\) | 37.3709 | + | 17.2738i | 1.24363 | + | 0.574834i | ||||
\(904\) | −47.7879 | + | 19.5413i | −1.58940 | + | 0.649934i | ||||
\(905\) | −29.5289 | −0.981575 | ||||||||
\(906\) | −22.2769 | − | 2.11427i | −0.740100 | − | 0.0702421i | ||||
\(907\) | 2.48609 | 0.0825492 | 0.0412746 | − | 0.999148i | \(-0.486858\pi\) | ||||
0.0412746 | + | 0.999148i | \(0.486858\pi\) | |||||||
\(908\) | −26.8721 | − | 18.9372i | −0.891780 | − | 0.628453i | ||||
\(909\) | 0.815667 | + | 1.80400i | 0.0270540 | + | 0.0598351i | ||||
\(910\) | −16.7596 | + | 1.59638i | −0.555575 | + | 0.0529194i | ||||
\(911\) | 9.66607 | + | 5.58071i | 0.320251 | + | 0.184897i | 0.651505 | − | 0.758645i | \(-0.274138\pi\) |
−0.331253 | + | 0.943542i | \(0.607471\pi\) | |||||||
\(912\) | −4.59295 | − | 4.31022i | −0.152088 | − | 0.142726i | ||||
\(913\) | −0.589938 | − | 0.340601i | −0.0195241 | − | 0.0112722i | ||||
\(914\) | −10.3177 | − | 6.59500i | −0.341278 | − | 0.218143i | ||||
\(915\) | −46.6419 | − | 2.30984i | −1.54193 | − | 0.0763609i | ||||
\(916\) | 24.6975 | − | 35.0460i | 0.816029 | − | 1.15795i | ||||
\(917\) | −16.4420 | − | 21.0239i | −0.542962 | − | 0.694270i | ||||
\(918\) | 5.65074 | − | 6.47941i | 0.186502 | − | 0.213852i | ||||
\(919\) | −28.9323 | − | 16.7041i | −0.954390 | − | 0.551017i | −0.0599482 | − | 0.998201i | \(-0.519094\pi\) |
−0.894442 | + | 0.447184i | \(0.852427\pi\) | |||||||
\(920\) | −12.2859 | − | 1.67411i | −0.405054 | − | 0.0551939i | ||||
\(921\) | 40.1042 | + | 25.8802i | 1.32148 | + | 0.852781i | ||||
\(922\) | −0.678176 | + | 15.0126i | −0.0223345 | + | 0.494414i | ||||
\(923\) | −15.8412 | + | 9.14595i | −0.521421 | + | 0.301043i | ||||
\(924\) | 2.53880 | + | 1.46463i | 0.0835205 | + | 0.0481828i | ||||
\(925\) | 2.89263 | + | 1.67006i | 0.0951092 | + | 0.0549113i | ||||
\(926\) | 19.1888 | − | 30.0203i | 0.630583 | − | 0.986527i | ||||
\(927\) | −15.0867 | − | 33.3671i | −0.495511 | − | 1.09592i | ||||
\(928\) | −10.0635 | − | 32.7782i | −0.330351 | − | 1.07600i | ||||
\(929\) | 40.9697 | − | 23.6539i | 1.34417 | − | 0.776058i | 0.356755 | − | 0.934198i | \(-0.383883\pi\) |
0.987417 | + | 0.158140i | \(0.0505496\pi\) | |||||||
\(930\) | −8.73253 | − | 6.21085i | −0.286351 | − | 0.203662i | ||||
\(931\) | 4.41635 | − | 4.58209i | 0.144740 | − | 0.150172i | ||||
\(932\) | −18.8069 | − | 40.6517i | −0.616042 | − | 1.33159i | ||||
\(933\) | 16.6684 | + | 32.4822i | 0.545700 | + | 1.06342i | ||||
\(934\) | −17.3239 | − | 0.782583i | −0.566854 | − | 0.0256069i | ||||
\(935\) | 0.687335 | − | 0.396833i | 0.0224783 | − | 0.0129778i | ||||
\(936\) | −13.0706 | − | 12.3731i | −0.427225 | − | 0.404428i | ||||
\(937\) | − | 40.0462i | − | 1.30825i | −0.756386 | − | 0.654126i | \(-0.773037\pi\) | ||
0.756386 | − | 0.654126i | \(-0.226963\pi\) | |||||||
\(938\) | 24.0409 | + | 33.7775i | 0.784964 | + | 1.10288i | ||||
\(939\) | −1.46474 | + | 29.5771i | −0.0478000 | + | 0.965211i | ||||
\(940\) | 15.9134 | + | 1.44067i | 0.519037 | + | 0.0469895i | ||||
\(941\) | 5.61971 | − | 9.73363i | 0.183197 | − | 0.317307i | −0.759770 | − | 0.650192i | \(-0.774689\pi\) |
0.942968 | + | 0.332884i | \(0.108022\pi\) | |||||||
\(942\) | −7.63815 | − | 5.43249i | −0.248864 | − | 0.177000i | ||||
\(943\) | −2.19590 | − | 3.80341i | −0.0715082 | − | 0.123856i | ||||
\(944\) | −6.83441 | + | 37.4364i | −0.222441 | + | 1.21845i | ||||
\(945\) | 25.3765 | − | 14.3703i | 0.825497 | − | 0.467466i | ||||
\(946\) | −0.183359 | + | 4.05898i | −0.00596153 | + | 0.131969i | ||||
\(947\) | 20.7400 | + | 35.9227i | 0.673959 | + | 1.16733i | 0.976772 | + | 0.214281i | \(0.0687409\pi\) |
−0.302813 | + | 0.953050i | \(0.597926\pi\) | |||||||
\(948\) | 2.70421 | + | 2.11338i | 0.0878287 | + | 0.0686394i | ||||
\(949\) | −26.9958 | − | 15.5860i | −0.876319 | − | 0.505943i | ||||
\(950\) | 0.642393 | + | 0.0290193i | 0.0208420 | + | 0.000941509i | ||||
\(951\) | 1.50835 | − | 30.4577i | 0.0489117 | − | 0.987659i | ||||
\(952\) | 7.60251 | + | 4.34201i | 0.246399 | + | 0.140725i | ||||
\(953\) | −42.6315 | −1.38097 | −0.690485 | − | 0.723347i | \(-0.742603\pi\) | ||||
−0.690485 | + | 0.723347i | \(0.742603\pi\) | |||||||
\(954\) | 36.8688 | + | 5.35017i | 1.19367 | + | 0.173218i | ||||
\(955\) | −29.2160 | + | 16.8679i | −0.945407 | + | 0.545831i | ||||
\(956\) | −1.16974 | + | 12.9207i | −0.0378321 | + | 0.417886i | ||||
\(957\) | 2.98708 | − | 1.53284i | 0.0965585 | − | 0.0495495i | ||||
\(958\) | −42.1863 | + | 21.8799i | −1.36298 | + | 0.706907i | ||||
\(959\) | −2.50303 | + | 1.95753i | −0.0808272 | + | 0.0632118i | ||||
\(960\) | 21.9647 | − | 19.5326i | 0.708908 | − | 0.630413i | ||||
\(961\) | 13.3734 | + | 23.1634i | 0.431400 | + | 0.747208i | ||||
\(962\) | −9.22323 | − | 17.7832i | −0.297369 | − | 0.573352i | ||||
\(963\) | 45.5219 | + | 4.51983i | 1.46692 | + | 0.145650i | ||||
\(964\) | −34.1020 | − | 24.0323i | −1.09835 | − | 0.774027i | ||||
\(965\) | −6.27423 | + | 10.8673i | −0.201974 | + | 0.349830i | ||||
\(966\) | 11.2823 | − | 7.21700i | 0.363003 | − | 0.232203i | ||||
\(967\) | 40.4202 | − | 23.3366i | 1.29982 | − | 0.750454i | 0.319451 | − | 0.947603i | \(-0.396502\pi\) |
0.980374 | + | 0.197149i | \(0.0631682\pi\) | |||||||
\(968\) | 4.16164 | − | 30.5412i | 0.133760 | − | 0.981631i | ||||
\(969\) | 0.998924 | − | 1.54794i | 0.0320901 | − | 0.0497270i | ||||
\(970\) | −3.79038 | − | 0.171226i | −0.121702 | − | 0.00549772i | ||||
\(971\) | 30.1279 | + | 17.3944i | 0.966852 | + | 0.558212i | 0.898275 | − | 0.439434i | \(-0.144821\pi\) |
0.0685766 | + | 0.997646i | \(0.478154\pi\) | |||||||
\(972\) | 29.4160 | + | 10.3294i | 0.943520 | + | 0.331316i | ||||
\(973\) | 11.1218 | − | 27.5658i | 0.356550 | − | 0.883718i | ||||
\(974\) | −17.9735 | + | 28.1190i | −0.575909 | + | 0.900991i | ||||
\(975\) | 1.83523 | + | 0.0908859i | 0.0587744 | + | 0.00291068i | ||||
\(976\) | 32.9141 | − | 38.7479i | 1.05356 | − | 1.24029i | ||||
\(977\) | −12.9757 | + | 22.4746i | −0.415130 | + | 0.719026i | −0.995442 | − | 0.0953683i | \(-0.969597\pi\) |
0.580312 | + | 0.814394i | \(0.302930\pi\) | |||||||
\(978\) | −31.9929 | − | 22.7544i | −1.02302 | − | 0.727605i | ||||
\(979\) | −4.79806 | − | 2.77016i | −0.153347 | − | 0.0885346i | ||||
\(980\) | 19.4375 | + | 22.4534i | 0.620908 | + | 0.717247i | ||||
\(981\) | −4.55599 | − | 3.27023i | −0.145462 | − | 0.104410i | ||||
\(982\) | −6.31297 | − | 4.03522i | −0.201455 | − | 0.128769i | ||||
\(983\) | −32.2213 | −1.02770 | −0.513851 | − | 0.857880i | \(-0.671781\pi\) | ||||
−0.513851 | + | 0.857880i | \(0.671781\pi\) | |||||||
\(984\) | 10.2335 | + | 1.91415i | 0.326231 | + | 0.0610209i | ||||
\(985\) | 49.2549i | 1.56939i | ||||||||
\(986\) | 8.90267 | − | 4.61737i | 0.283519 | − | 0.147047i | ||||
\(987\) | −14.1044 | + | 9.94678i | −0.448948 | + | 0.316609i | ||||
\(988\) | −3.15256 | − | 2.22166i | −0.100296 | − | 0.0706805i | ||||
\(989\) | 16.0790 | + | 9.28322i | 0.511283 | + | 0.295189i | ||||
\(990\) | 2.26003 | + | 1.78209i | 0.0718283 | + | 0.0566387i | ||||
\(991\) | 53.7921 | − | 31.0569i | 1.70876 | − | 0.986554i | 0.772664 | − | 0.634815i | \(-0.218924\pi\) |
0.936098 | − | 0.351739i | \(-0.114410\pi\) | |||||||
\(992\) | 11.1525 | − | 3.42402i | 0.354091 | − | 0.108713i | ||||
\(993\) | −16.5602 | − | 0.820108i | −0.525522 | − | 0.0260254i | ||||
\(994\) | 29.3481 | + | 13.4112i | 0.930866 | + | 0.425376i | ||||
\(995\) | 9.95242 | + | 17.2381i | 0.315513 | + | 0.546484i | ||||
\(996\) | 1.02798 | − | 7.30696i | 0.0325729 | − | 0.231530i | ||||
\(997\) | 15.5662 | 0.492986 | 0.246493 | − | 0.969145i | \(-0.420722\pi\) | ||||
0.246493 | + | 0.969145i | \(0.420722\pi\) | |||||||
\(998\) | 18.0376 | − | 9.35520i | 0.570970 | − | 0.296134i | ||||
\(999\) | 27.1554 | + | 21.6046i | 0.859159 | + | 0.683538i |
(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 | 504.2.cz.b.187.15 | yes | 180 | |
7.3 | odd | 6 | 504.2.bf.b.115.47 | ✓ | 180 | ||
8.3 | odd | 2 | inner | 504.2.cz.b.187.74 | yes | 180 | |
9.4 | even | 3 | 504.2.bf.b.355.47 | yes | 180 | ||
56.3 | even | 6 | 504.2.bf.b.115.48 | yes | 180 | ||
63.31 | odd | 6 | inner | 504.2.cz.b.283.74 | yes | 180 | |
72.67 | odd | 6 | 504.2.bf.b.355.48 | yes | 180 | ||
504.283 | even | 6 | inner | 504.2.cz.b.283.15 | yes | 180 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.bf.b.115.47 | ✓ | 180 | 7.3 | odd | 6 | ||
504.2.bf.b.115.48 | yes | 180 | 56.3 | even | 6 | ||
504.2.bf.b.355.47 | yes | 180 | 9.4 | even | 3 | ||
504.2.bf.b.355.48 | yes | 180 | 72.67 | odd | 6 | ||
504.2.cz.b.187.15 | yes | 180 | 1.1 | even | 1 | trivial | |
504.2.cz.b.187.74 | yes | 180 | 8.3 | odd | 2 | inner | |
504.2.cz.b.283.15 | yes | 180 | 504.283 | even | 6 | inner | |
504.2.cz.b.283.74 | yes | 180 | 63.31 | odd | 6 | inner |