Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [342,2,Mod(29,342)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(342, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([3, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("342.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 342 = 2 \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 342.x (of order \(18\), degree \(6\), 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: | \(2.73088374913\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 281.3 | ||
Character | \(\chi\) | \(=\) | 342.281 |
Dual form | 342.2.x.c.185.3 |
$q$-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 \(\left(\mathbb{Z}/342\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | −0.925504 | + | 1.46405i | −0.534340 | + | 0.845270i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.569858 | − | 1.56567i | 0.254848 | − | 0.700190i | −0.744617 | − | 0.667492i | \(-0.767368\pi\) |
0.999465 | − | 0.0326979i | \(-0.0104099\pi\) | |||||||
\(6\) | 0.232096 | + | 1.71643i | 0.0947528 | + | 0.700730i | ||||
\(7\) | −2.36860 | − | 4.10253i | −0.895246 | − | 1.55061i | −0.833500 | − | 0.552520i | \(-0.813666\pi\) |
−0.0617461 | − | 0.998092i | \(-0.519667\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −1.28688 | − | 2.70997i | −0.428962 | − | 0.903323i | ||||
\(10\) | −0.569858 | − | 1.56567i | −0.180205 | − | 0.495109i | ||||
\(11\) | 0.121113i | 0.0365169i | 0.999833 | + | 0.0182585i | \(0.00581217\pi\) | ||||
−0.999833 | + | 0.0182585i | \(0.994188\pi\) | |||||||
\(12\) | 1.28110 | + | 1.16567i | 0.369820 | + | 0.336501i | ||||
\(13\) | 0.927977 | + | 2.54960i | 0.257375 | + | 0.707131i | 0.999327 | + | 0.0366785i | \(0.0116778\pi\) |
−0.741952 | + | 0.670452i | \(0.766100\pi\) | |||||||
\(14\) | −4.45151 | − | 1.62022i | −1.18972 | − | 0.433021i | ||||
\(15\) | 1.76482 | + | 2.28334i | 0.455674 | + | 0.589555i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 1.15503 | − | 3.17343i | 0.280136 | − | 0.769669i | −0.717209 | − | 0.696858i | \(-0.754581\pi\) |
0.997346 | − | 0.0728108i | \(-0.0231969\pi\) | |||||||
\(18\) | −2.72774 | − | 1.24876i | −0.642936 | − | 0.294336i | ||||
\(19\) | 0.410407 | − | 4.33954i | 0.0941538 | − | 0.995558i | ||||
\(20\) | −1.44293 | − | 0.833077i | −0.322649 | − | 0.186282i | ||||
\(21\) | 8.19846 | + | 0.329164i | 1.78905 | + | 0.0718294i | ||||
\(22\) | 0.0778499 | + | 0.0927779i | 0.0165977 | + | 0.0197803i | ||||
\(23\) | −0.910332 | − | 0.160516i | −0.189817 | − | 0.0334699i | 0.0779312 | − | 0.996959i | \(-0.475169\pi\) |
−0.267749 | + | 0.963489i | \(0.586280\pi\) | |||||||
\(24\) | 1.73066 | + | 0.0694849i | 0.353269 | + | 0.0141836i | ||||
\(25\) | 1.70363 | + | 1.42952i | 0.340726 | + | 0.285903i | ||||
\(26\) | 2.34972 | + | 1.35661i | 0.460818 | + | 0.266054i | ||||
\(27\) | 5.15855 | + | 0.624022i | 0.992763 | + | 0.120093i | ||||
\(28\) | −4.45151 | + | 1.62022i | −0.841256 | + | 0.306192i | ||||
\(29\) | 1.33192 | − | 7.55371i | 0.247332 | − | 1.40269i | −0.567682 | − | 0.823248i | \(-0.692160\pi\) |
0.815014 | − | 0.579441i | \(-0.196729\pi\) | |||||||
\(30\) | 2.81963 | + | 0.614735i | 0.514791 | + | 0.112235i | ||||
\(31\) | 6.35233i | 1.14091i | 0.821328 | + | 0.570456i | \(0.193233\pi\) | ||||
−0.821328 | + | 0.570456i | \(0.806767\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | −0.177315 | − | 0.112091i | −0.0308667 | − | 0.0195125i | ||||
\(34\) | −1.15503 | − | 3.17343i | −0.198086 | − | 0.544238i | ||||
\(35\) | −7.77299 | + | 1.37059i | −1.31387 | + | 0.231672i | ||||
\(36\) | −2.89226 | + | 0.796753i | −0.482044 | + | 0.132792i | ||||
\(37\) | 6.86684i | 1.12890i | 0.825467 | + | 0.564451i | \(0.190912\pi\) | ||||
−0.825467 | + | 0.564451i | \(0.809088\pi\) | |||||||
\(38\) | −2.47501 | − | 3.58808i | −0.401500 | − | 0.582064i | ||||
\(39\) | −4.59158 | − | 1.00106i | −0.735242 | − | 0.160297i | ||||
\(40\) | −1.64084 | + | 0.289325i | −0.259440 | + | 0.0457462i | ||||
\(41\) | 3.20887 | − | 2.69256i | 0.501142 | − | 0.420508i | −0.356858 | − | 0.934159i | \(-0.616152\pi\) |
0.857999 | + | 0.513651i | \(0.171707\pi\) | |||||||
\(42\) | 6.49197 | − | 5.01771i | 1.00173 | − | 0.774250i | ||||
\(43\) | 0.0557914 | + | 0.316409i | 0.00850811 | + | 0.0482519i | 0.988766 | − | 0.149470i | \(-0.0477568\pi\) |
−0.980258 | + | 0.197722i | \(0.936646\pi\) | |||||||
\(44\) | 0.119273 | + | 0.0210310i | 0.0179811 | + | 0.00317055i | ||||
\(45\) | −4.97626 | + | 0.470543i | −0.741818 | + | 0.0701444i | ||||
\(46\) | −0.800533 | + | 0.462188i | −0.118032 | + | 0.0681459i | ||||
\(47\) | −8.24407 | − | 1.45365i | −1.20252 | − | 0.212037i | −0.463734 | − | 0.885975i | \(-0.653491\pi\) |
−0.738788 | + | 0.673938i | \(0.764602\pi\) | |||||||
\(48\) | 1.37042 | − | 1.05922i | 0.197804 | − | 0.152885i | ||||
\(49\) | −7.72052 | + | 13.3723i | −1.10293 | + | 1.91033i | ||||
\(50\) | 2.22393 | 0.314511 | ||||||||
\(51\) | 3.57707 | + | 4.62804i | 0.500889 | + | 0.648056i | ||||
\(52\) | 2.67200 | − | 0.471147i | 0.370540 | − | 0.0653363i | ||||
\(53\) | 7.36618 | + | 6.18096i | 1.01182 | + | 0.849020i | 0.988578 | − | 0.150710i | \(-0.0481558\pi\) |
0.0232449 | + | 0.999730i | \(0.492600\pi\) | |||||||
\(54\) | 4.35279 | − | 2.83782i | 0.592340 | − | 0.386178i | ||||
\(55\) | 0.189623 | + | 0.0690172i | 0.0255688 | + | 0.00930628i | ||||
\(56\) | −2.36860 | + | 4.10253i | −0.316517 | + | 0.548224i | ||||
\(57\) | 5.97346 | + | 4.61711i | 0.791205 | + | 0.611552i | ||||
\(58\) | −3.83512 | − | 6.64262i | −0.503576 | − | 0.872219i | ||||
\(59\) | −0.0715540 | − | 0.405803i | −0.00931554 | − | 0.0528310i | 0.979796 | − | 0.200001i | \(-0.0640946\pi\) |
−0.989111 | + | 0.147170i | \(0.952984\pi\) | |||||||
\(60\) | 2.55510 | − | 1.34151i | 0.329863 | − | 0.173188i | ||||
\(61\) | 9.65927 | − | 3.51569i | 1.23674 | − | 0.450137i | 0.360841 | − | 0.932627i | \(-0.382490\pi\) |
0.875902 | + | 0.482490i | \(0.160267\pi\) | |||||||
\(62\) | 4.08320 | + | 4.86616i | 0.518566 | + | 0.618003i | ||||
\(63\) | −8.06962 | + | 11.6983i | −1.01668 | + | 1.47385i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 4.52065 | 0.560718 | ||||||||
\(66\) | −0.207882 | + | 0.0281098i | −0.0255885 | + | 0.00346008i | ||||
\(67\) | −6.46093 | + | 7.69984i | −0.789329 | + | 0.940685i | −0.999315 | − | 0.0370192i | \(-0.988214\pi\) |
0.209986 | + | 0.977704i | \(0.432658\pi\) | |||||||
\(68\) | −2.92464 | − | 1.68854i | −0.354665 | − | 0.204766i | ||||
\(69\) | 1.07752 | − | 1.18421i | 0.129718 | − | 0.142563i | ||||
\(70\) | −5.07346 | + | 6.04631i | −0.606394 | + | 0.722672i | ||||
\(71\) | −3.87105 | + | 3.24819i | −0.459409 | + | 0.385490i | −0.842913 | − | 0.538049i | \(-0.819161\pi\) |
0.383505 | + | 0.923539i | \(0.374717\pi\) | |||||||
\(72\) | −1.70346 | + | 2.46946i | −0.200755 | + | 0.291029i | ||||
\(73\) | −0.587420 | − | 3.33142i | −0.0687523 | − | 0.389914i | −0.999694 | − | 0.0247454i | \(-0.992123\pi\) |
0.930941 | − | 0.365168i | \(-0.118989\pi\) | |||||||
\(74\) | 4.41392 | + | 5.26031i | 0.513108 | + | 0.611498i | ||||
\(75\) | −3.66960 | + | 1.17118i | −0.423729 | + | 0.135236i | ||||
\(76\) | −4.20234 | − | 1.15772i | −0.482042 | − | 0.132800i | ||||
\(77\) | 0.496870 | − | 0.286868i | 0.0566236 | − | 0.0326916i | ||||
\(78\) | −4.16082 | + | 2.18456i | −0.471121 | + | 0.247353i | ||||
\(79\) | 0.0602849 | − | 0.165631i | 0.00678258 | − | 0.0186350i | −0.936255 | − | 0.351321i | \(-0.885733\pi\) |
0.943038 | + | 0.332686i | \(0.107955\pi\) | |||||||
\(80\) | −1.07098 | + | 1.27635i | −0.119740 | + | 0.142700i | ||||
\(81\) | −5.68785 | + | 6.97483i | −0.631984 | + | 0.774982i | ||||
\(82\) | 0.727392 | − | 4.12525i | 0.0803270 | − | 0.455557i | ||||
\(83\) | 14.5214 | − | 8.38392i | 1.59393 | − | 0.920255i | 0.601305 | − | 0.799020i | \(-0.294648\pi\) |
0.992624 | − | 0.121235i | \(-0.0386856\pi\) | |||||||
\(84\) | 1.74781 | − | 8.01675i | 0.190702 | − | 0.874699i | ||||
\(85\) | −4.31034 | − | 3.61680i | −0.467522 | − | 0.392298i | ||||
\(86\) | 0.246122 | + | 0.206521i | 0.0265400 | + | 0.0222697i | ||||
\(87\) | 9.82631 | + | 8.94099i | 1.05349 | + | 0.958575i | ||||
\(88\) | 0.104887 | − | 0.0605565i | 0.0111810 | − | 0.00645534i | ||||
\(89\) | 2.94617 | − | 16.7085i | 0.312293 | − | 1.77110i | −0.274721 | − | 0.961524i | \(-0.588585\pi\) |
0.587014 | − | 0.809577i | \(-0.300303\pi\) | |||||||
\(90\) | −3.50958 | + | 3.55914i | −0.369942 | + | 0.375166i | ||||
\(91\) | 8.26180 | − | 9.84603i | 0.866072 | − | 1.03214i | ||||
\(92\) | −0.316155 | + | 0.868629i | −0.0329614 | + | 0.0905608i | ||||
\(93\) | −9.30012 | − | 5.87910i | −0.964378 | − | 0.609635i | ||||
\(94\) | −7.24972 | + | 4.18563i | −0.747751 | + | 0.431714i | ||||
\(95\) | −6.56042 | − | 3.11548i | −0.673085 | − | 0.319642i | ||||
\(96\) | 0.368955 | − | 1.69230i | 0.0376563 | − | 0.172719i | ||||
\(97\) | 9.05119 | + | 10.7868i | 0.919009 | + | 1.09523i | 0.995173 | + | 0.0981374i | \(0.0312885\pi\) |
−0.0761634 | + | 0.997095i | \(0.524267\pi\) | |||||||
\(98\) | 2.68131 | + | 15.2064i | 0.270853 | + | 1.53608i | ||||
\(99\) | 0.328212 | − | 0.155858i | 0.0329866 | − | 0.0156644i | ||||
\(100\) | 1.70363 | − | 1.42952i | 0.170363 | − | 0.142952i | ||||
\(101\) | −4.64850 | + | 5.53986i | −0.462543 | + | 0.551237i | −0.946015 | − | 0.324123i | \(-0.894931\pi\) |
0.483472 | + | 0.875360i | \(0.339375\pi\) | |||||||
\(102\) | 5.71504 | + | 1.24599i | 0.565873 | + | 0.123372i | ||||
\(103\) | 1.16573 | + | 0.673034i | 0.114863 | + | 0.0663161i | 0.556331 | − | 0.830961i | \(-0.312209\pi\) |
−0.441468 | + | 0.897277i | \(0.645542\pi\) | |||||||
\(104\) | 1.74403 | − | 2.07845i | 0.171016 | − | 0.203809i | ||||
\(105\) | 5.18732 | − | 12.6485i | 0.506231 | − | 1.23437i | ||||
\(106\) | 9.61587 | 0.933976 | ||||||||
\(107\) | 5.76048 | − | 9.97745i | 0.556887 | − | 0.964556i | −0.440867 | − | 0.897572i | \(-0.645329\pi\) |
0.997754 | − | 0.0669840i | \(-0.0213376\pi\) | |||||||
\(108\) | 1.51031 | − | 4.97182i | 0.145330 | − | 0.478413i | ||||
\(109\) | 0.599418 | + | 0.714359i | 0.0574139 | + | 0.0684232i | 0.793987 | − | 0.607935i | \(-0.208002\pi\) |
−0.736573 | + | 0.676358i | \(0.763557\pi\) | |||||||
\(110\) | 0.189623 | − | 0.0690172i | 0.0180799 | − | 0.00658053i | ||||
\(111\) | −10.0534 | − | 6.35529i | −0.954227 | − | 0.603217i | ||||
\(112\) | 0.822606 | + | 4.66523i | 0.0777289 | + | 0.440823i | ||||
\(113\) | −0.00528115 | − | 0.00914723i | −0.000496809 | − | 0.000860499i | 0.865777 | − | 0.500430i | \(-0.166825\pi\) |
−0.866274 | + | 0.499570i | \(0.833491\pi\) | |||||||
\(114\) | 7.54376 | − | 0.302754i | 0.706538 | − | 0.0283555i | ||||
\(115\) | −0.770076 | + | 1.33381i | −0.0718099 | + | 0.124378i | ||||
\(116\) | −7.20767 | − | 2.62338i | −0.669215 | − | 0.243574i | ||||
\(117\) | 5.71513 | − | 5.79583i | 0.528364 | − | 0.535824i | ||||
\(118\) | −0.315659 | − | 0.264869i | −0.0290587 | − | 0.0243832i | ||||
\(119\) | −15.7549 | + | 2.77801i | −1.44425 | + | 0.254660i | ||||
\(120\) | 1.09502 | − | 2.67004i | 0.0999611 | − | 0.243741i | ||||
\(121\) | 10.9853 | 0.998667 | ||||||||
\(122\) | 5.13959 | − | 8.90203i | 0.465317 | − | 0.805952i | ||||
\(123\) | 0.972224 | + | 7.18993i | 0.0876624 | + | 0.648294i | ||||
\(124\) | 6.25582 | + | 1.10307i | 0.561789 | + | 0.0990586i | ||||
\(125\) | 10.4236 | − | 6.01809i | 0.932319 | − | 0.538274i | ||||
\(126\) | 1.33784 | + | 14.1485i | 0.119185 | + | 1.26045i | ||||
\(127\) | −13.6674 | − | 2.40994i | −1.21279 | − | 0.213847i | −0.469570 | − | 0.882895i | \(-0.655591\pi\) |
−0.743219 | + | 0.669048i | \(0.766702\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | −0.514873 | − | 0.211156i | −0.0453321 | − | 0.0185913i | ||||
\(130\) | 3.46302 | − | 2.90582i | 0.303727 | − | 0.254857i | ||||
\(131\) | 11.7067 | − | 2.06420i | 1.02282 | − | 0.180350i | 0.363009 | − | 0.931786i | \(-0.381749\pi\) |
0.659806 | + | 0.751436i | \(0.270638\pi\) | |||||||
\(132\) | −0.141178 | + | 0.155157i | −0.0122880 | + | 0.0135047i | ||||
\(133\) | −18.7752 | + | 8.59491i | −1.62801 | + | 0.745273i | ||||
\(134\) | 10.0514i | 0.868311i | ||||||||
\(135\) | 3.91665 | − | 7.72099i | 0.337092 | − | 0.664517i | ||||
\(136\) | −3.32578 | + | 0.586425i | −0.285184 | + | 0.0502856i | ||||
\(137\) | 3.42579 | + | 9.41228i | 0.292685 | + | 0.804145i | 0.995672 | + | 0.0929420i | \(0.0296271\pi\) |
−0.702987 | + | 0.711203i | \(0.748151\pi\) | |||||||
\(138\) | 0.0642302 | − | 1.59978i | 0.00546764 | − | 0.136182i | ||||
\(139\) | 2.42121 | − | 0.881249i | 0.205364 | − | 0.0747466i | −0.237290 | − | 0.971439i | \(-0.576259\pi\) |
0.442654 | + | 0.896692i | \(0.354037\pi\) | |||||||
\(140\) | 7.89290i | 0.667072i | ||||||||
\(141\) | 9.75814 | − | 10.7244i | 0.821784 | − | 0.903155i | ||||
\(142\) | −0.877495 | + | 4.97652i | −0.0736378 | + | 0.417621i | ||||
\(143\) | −0.308789 | + | 0.112390i | −0.0258223 | + | 0.00939853i | ||||
\(144\) | 0.282413 | + | 2.98668i | 0.0235344 | + | 0.248890i | ||||
\(145\) | −11.0676 | − | 6.38990i | −0.919117 | − | 0.530652i | ||||
\(146\) | −2.59139 | − | 2.17443i | −0.214465 | − | 0.179957i | ||||
\(147\) | −12.4324 | − | 23.6794i | −1.02541 | − | 1.95304i | ||||
\(148\) | 6.76252 | + | 1.19241i | 0.555876 | + | 0.0980159i | ||||
\(149\) | −9.60221 | − | 11.4435i | −0.786643 | − | 0.937485i | 0.212570 | − | 0.977146i | \(-0.431817\pi\) |
−0.999213 | + | 0.0396608i | \(0.987372\pi\) | |||||||
\(150\) | −2.05826 | + | 3.25595i | −0.168056 | + | 0.265847i | ||||
\(151\) | 12.5276 | + | 7.23279i | 1.01948 | + | 0.588596i | 0.913953 | − | 0.405820i | \(-0.133014\pi\) |
0.105526 | + | 0.994417i | \(0.466347\pi\) | |||||||
\(152\) | −3.96335 | + | 1.81434i | −0.321470 | + | 0.147163i | ||||
\(153\) | −10.0863 | + | 0.953732i | −0.815427 | + | 0.0771047i | ||||
\(154\) | 0.196229 | − | 0.539135i | 0.0158126 | − | 0.0434448i | ||||
\(155\) | 9.94566 | + | 3.61992i | 0.798855 | + | 0.290759i | ||||
\(156\) | −1.78317 | + | 4.34800i | −0.142768 | + | 0.348118i | ||||
\(157\) | −19.9315 | − | 7.25448i | −1.59071 | − | 0.578971i | −0.613212 | − | 0.789919i | \(-0.710123\pi\) |
−0.977497 | + | 0.210948i | \(0.932345\pi\) | |||||||
\(158\) | −0.0602849 | − | 0.165631i | −0.00479601 | − | 0.0131769i | ||||
\(159\) | −15.8667 | + | 5.06396i | −1.25831 | + | 0.401598i | ||||
\(160\) | 1.66615i | 0.131721i | ||||||||
\(161\) | 1.49769 | + | 4.11487i | 0.118034 | + | 0.324297i | ||||
\(162\) | 0.126187 | + | 8.99912i | 0.00991421 | + | 0.707037i | ||||
\(163\) | 7.29892 | + | 12.6421i | 0.571696 | + | 0.990206i | 0.996392 | + | 0.0848703i | \(0.0270476\pi\) |
−0.424696 | + | 0.905336i | \(0.639619\pi\) | |||||||
\(164\) | −2.09444 | − | 3.62768i | −0.163548 | − | 0.283274i | ||||
\(165\) | −0.276542 | + | 0.213742i | −0.0215287 | + | 0.0166398i | ||||
\(166\) | 5.73494 | − | 15.7566i | 0.445118 | − | 1.22295i | ||||
\(167\) | −1.97356 | + | 11.1926i | −0.152719 | + | 0.866113i | 0.808123 | + | 0.589014i | \(0.200484\pi\) |
−0.960842 | + | 0.277098i | \(0.910627\pi\) | |||||||
\(168\) | −3.81417 | − | 7.26466i | −0.294269 | − | 0.560480i | ||||
\(169\) | 4.31927 | − | 3.62430i | 0.332252 | − | 0.278792i | ||||
\(170\) | −5.62675 | −0.431552 | ||||||||
\(171\) | −12.2881 | + | 4.47229i | −0.939698 | + | 0.342005i | ||||
\(172\) | 0.321290 | 0.0244981 | ||||||||
\(173\) | −16.6512 | + | 13.9720i | −1.26597 | + | 1.06227i | −0.270947 | + | 0.962594i | \(0.587337\pi\) |
−0.995020 | + | 0.0996777i | \(0.968219\pi\) | |||||||
\(174\) | 13.2746 | + | 0.532966i | 1.00634 | + | 0.0404041i | ||||
\(175\) | 1.82942 | − | 10.3751i | 0.138291 | − | 0.784288i | ||||
\(176\) | 0.0414231 | − | 0.113809i | 0.00312238 | − | 0.00857867i | ||||
\(177\) | 0.660339 | + | 0.270814i | 0.0496341 | + | 0.0203556i | ||||
\(178\) | −8.48314 | − | 14.6932i | −0.635839 | − | 1.10130i | ||||
\(179\) | −3.07538 | − | 5.32671i | −0.229865 | − | 0.398137i | 0.727903 | − | 0.685680i | \(-0.240495\pi\) |
−0.957768 | + | 0.287543i | \(0.907162\pi\) | |||||||
\(180\) | −0.400725 | + | 4.98237i | −0.0298683 | + | 0.371364i | ||||
\(181\) | −8.38609 | − | 23.0406i | −0.623333 | − | 1.71259i | −0.698678 | − | 0.715436i | \(-0.746228\pi\) |
0.0753455 | − | 0.997157i | \(-0.475994\pi\) | |||||||
\(182\) | − | 12.8531i | − | 0.952734i | ||||||
\(183\) | −3.79255 | + | 17.3954i | −0.280353 | + | 1.28591i | ||||
\(184\) | 0.316155 | + | 0.868629i | 0.0233073 | + | 0.0640362i | ||||
\(185\) | 10.7512 | + | 3.91313i | 0.790446 | + | 0.287699i | ||||
\(186\) | −10.9033 | + | 1.47435i | −0.799470 | + | 0.108105i | ||||
\(187\) | 0.384343 | + | 0.139889i | 0.0281059 | + | 0.0102297i | ||||
\(188\) | −2.86314 | + | 7.86640i | −0.208816 | + | 0.573716i | ||||
\(189\) | −9.65845 | − | 22.6412i | −0.702549 | − | 1.64690i | ||||
\(190\) | −7.02816 | + | 1.83036i | −0.509877 | + | 0.132788i | ||||
\(191\) | 6.18680 | + | 3.57195i | 0.447661 | + | 0.258457i | 0.706842 | − | 0.707371i | \(-0.250119\pi\) |
−0.259181 | + | 0.965829i | \(0.583452\pi\) | |||||||
\(192\) | −0.805153 | − | 1.53353i | −0.0581069 | − | 0.110673i | ||||
\(193\) | 6.34524 | + | 7.56196i | 0.456740 | + | 0.544322i | 0.944437 | − | 0.328691i | \(-0.106608\pi\) |
−0.487697 | + | 0.873013i | \(0.662163\pi\) | |||||||
\(194\) | 13.8672 | + | 2.44517i | 0.995609 | + | 0.175553i | ||||
\(195\) | −4.18388 | + | 6.61846i | −0.299614 | + | 0.473958i | ||||
\(196\) | 11.8285 | + | 9.92530i | 0.844894 | + | 0.708950i | ||||
\(197\) | 7.50810 | + | 4.33480i | 0.534930 | + | 0.308842i | 0.743022 | − | 0.669267i | \(-0.233392\pi\) |
−0.208092 | + | 0.978109i | \(0.566725\pi\) | |||||||
\(198\) | 0.151241 | − | 0.330365i | 0.0107483 | − | 0.0234780i | ||||
\(199\) | 7.26186 | − | 2.64310i | 0.514780 | − | 0.187365i | −0.0715499 | − | 0.997437i | \(-0.522795\pi\) |
0.586330 | + | 0.810072i | \(0.300572\pi\) | |||||||
\(200\) | 0.386182 | − | 2.19015i | 0.0273072 | − | 0.154867i | ||||
\(201\) | −5.29333 | − | 16.5854i | −0.373363 | − | 1.16984i | ||||
\(202\) | 7.23178i | 0.508826i | ||||||||
\(203\) | −34.1441 | + | 12.4275i | −2.39645 | + | 0.872236i | ||||
\(204\) | 5.17888 | − | 2.71907i | 0.362594 | − | 0.190373i | ||||
\(205\) | −2.38707 | − | 6.55842i | −0.166720 | − | 0.458060i | ||||
\(206\) | 1.32562 | − | 0.233742i | 0.0923603 | − | 0.0162856i | ||||
\(207\) | 0.736499 | + | 2.67354i | 0.0511902 | + | 0.185824i | ||||
\(208\) | − | 2.71322i | − | 0.188128i | ||||||
\(209\) | 0.525574 | + | 0.0497056i | 0.0363547 | + | 0.00343821i | ||||
\(210\) | −4.15660 | − | 13.0237i | −0.286832 | − | 0.898719i | ||||
\(211\) | 7.36889 | − | 1.29933i | 0.507295 | − | 0.0894498i | 0.0858580 | − | 0.996307i | \(-0.472637\pi\) |
0.421437 | + | 0.906858i | \(0.361526\pi\) | |||||||
\(212\) | 7.36618 | − | 6.18096i | 0.505911 | − | 0.424510i | ||||
\(213\) | −1.17285 | − | 8.67362i | −0.0803623 | − | 0.594307i | ||||
\(214\) | −2.00059 | − | 11.3459i | −0.136758 | − | 0.775592i | ||||
\(215\) | 0.527185 | + | 0.0929570i | 0.0359537 | + | 0.00633962i | ||||
\(216\) | −2.03885 | − | 4.77944i | −0.138726 | − | 0.325200i | ||||
\(217\) | 26.0606 | − | 15.0461i | 1.76911 | − | 1.02140i | ||||
\(218\) | 0.918362 | + | 0.161932i | 0.0621993 | + | 0.0109674i | ||||
\(219\) | 5.42103 | + | 2.22323i | 0.366319 | + | 0.150232i | ||||
\(220\) | 0.100896 | − | 0.174758i | 0.00680243 | − | 0.0117822i | ||||
\(221\) | 9.16280 | 0.616357 | ||||||||
\(222\) | −11.7865 | + | 1.59377i | −0.791055 | + | 0.106967i | ||||
\(223\) | 4.39750 | − | 0.775398i | 0.294478 | − | 0.0519245i | −0.0244571 | − | 0.999701i | \(-0.507786\pi\) |
0.318936 | + | 0.947776i | \(0.396675\pi\) | |||||||
\(224\) | 3.62890 | + | 3.04501i | 0.242466 | + | 0.203453i | ||||
\(225\) | 1.68157 | − | 6.45641i | 0.112104 | − | 0.430427i | ||||
\(226\) | −0.00992532 | − | 0.00361252i | −0.000660223 | − | 0.000240301i | ||||
\(227\) | 9.66804 | − | 16.7455i | 0.641691 | − | 1.11144i | −0.343365 | − | 0.939202i | \(-0.611567\pi\) |
0.985055 | − | 0.172239i | \(-0.0551000\pi\) | |||||||
\(228\) | 5.58425 | − | 5.08096i | 0.369826 | − | 0.336495i | ||||
\(229\) | 7.05953 | + | 12.2275i | 0.466507 | + | 0.808013i | 0.999268 | − | 0.0382521i | \(-0.0121790\pi\) |
−0.532761 | + | 0.846266i | \(0.678846\pi\) | |||||||
\(230\) | 0.267445 | + | 1.51675i | 0.0176348 | + | 0.100012i | ||||
\(231\) | −0.0398660 | + | 0.992940i | −0.00262299 | + | 0.0653306i | ||||
\(232\) | −7.20767 | + | 2.62338i | −0.473207 | + | 0.172233i | ||||
\(233\) | −6.15751 | − | 7.33824i | −0.403392 | − | 0.480744i | 0.525659 | − | 0.850695i | \(-0.323819\pi\) |
−0.929051 | + | 0.369951i | \(0.879374\pi\) | |||||||
\(234\) | 0.652555 | − | 8.11347i | 0.0426589 | − | 0.530394i | ||||
\(235\) | −6.97390 | + | 12.0791i | −0.454927 | + | 0.787956i | ||||
\(236\) | −0.412063 | −0.0268230 | ||||||||
\(237\) | 0.186699 | + | 0.241553i | 0.0121274 | + | 0.0156905i | ||||
\(238\) | −10.2833 | + | 12.2551i | −0.666566 | + | 0.794382i | ||||
\(239\) | 13.0448 | + | 7.53139i | 0.843795 | + | 0.487165i | 0.858552 | − | 0.512726i | \(-0.171364\pi\) |
−0.0147573 | + | 0.999891i | \(0.504698\pi\) | |||||||
\(240\) | −0.877438 | − | 2.74924i | −0.0566384 | − | 0.177463i | ||||
\(241\) | 12.4737 | − | 14.8655i | 0.803499 | − | 0.957573i | −0.196237 | − | 0.980557i | \(-0.562872\pi\) |
0.999736 | + | 0.0229834i | \(0.00731650\pi\) | |||||||
\(242\) | 8.41525 | − | 7.06124i | 0.540953 | − | 0.453913i | ||||
\(243\) | −4.94737 | − | 14.7825i | −0.317374 | − | 0.948300i | ||||
\(244\) | −1.78496 | − | 10.1230i | −0.114270 | − | 0.648060i | ||||
\(245\) | 16.5371 | + | 19.7081i | 1.05652 | + | 1.25911i | ||||
\(246\) | 5.36636 | + | 4.88287i | 0.342147 | + | 0.311320i | ||||
\(247\) | 11.4449 | − | 2.98062i | 0.728223 | − | 0.189652i | ||||
\(248\) | 5.50128 | − | 3.17616i | 0.349331 | − | 0.201687i | ||||
\(249\) | −1.16511 | + | 29.0194i | −0.0738360 | + | 1.83903i | ||||
\(250\) | 4.11662 | − | 11.3103i | 0.260358 | − | 0.715327i | ||||
\(251\) | −13.6352 | + | 16.2498i | −0.860646 | + | 1.02568i | 0.138729 | + | 0.990330i | \(0.455698\pi\) |
−0.999375 | + | 0.0353477i | \(0.988746\pi\) | |||||||
\(252\) | 10.1193 | + | 9.97841i | 0.637457 | + | 0.628581i | ||||
\(253\) | 0.0194406 | − | 0.110253i | 0.00122222 | − | 0.00693155i | ||||
\(254\) | −12.0189 | + | 6.93914i | −0.754135 | + | 0.435400i | ||||
\(255\) | 9.28442 | − | 2.96319i | 0.581413 | − | 0.185562i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −7.76866 | − | 6.51868i | −0.484596 | − | 0.406624i | 0.367489 | − | 0.930028i | \(-0.380218\pi\) |
−0.852085 | + | 0.523404i | \(0.824662\pi\) | |||||||
\(258\) | −0.530144 | + | 0.169199i | −0.0330053 | + | 0.0105339i | ||||
\(259\) | 28.1714 | − | 16.2648i | 1.75049 | − | 1.01065i | ||||
\(260\) | 0.785002 | − | 4.45197i | 0.0486838 | − | 0.276099i | ||||
\(261\) | −22.1844 | + | 6.11129i | −1.37318 | + | 0.378279i | ||||
\(262\) | 7.64098 | − | 9.10616i | 0.472061 | − | 0.562581i | ||||
\(263\) | −1.26310 | + | 3.47034i | −0.0778862 | + | 0.213990i | −0.972524 | − | 0.232801i | \(-0.925211\pi\) |
0.894638 | + | 0.446791i | \(0.147433\pi\) | |||||||
\(264\) | −0.00841553 | + | 0.209605i | −0.000517940 | + | 0.0129003i | ||||
\(265\) | 13.8750 | − | 8.01076i | 0.852337 | − | 0.492097i | ||||
\(266\) | −8.85792 | + | 18.6525i | −0.543114 | + | 1.14366i | ||||
\(267\) | 21.7354 | + | 19.7771i | 1.33019 | + | 1.21034i | ||||
\(268\) | 6.46093 | + | 7.69984i | 0.394664 | + | 0.470343i | ||||
\(269\) | −2.15297 | − | 12.2101i | −0.131269 | − | 0.744463i | −0.977385 | − | 0.211465i | \(-0.932176\pi\) |
0.846117 | − | 0.532998i | \(-0.178935\pi\) | |||||||
\(270\) | −1.96262 | − | 8.43220i | −0.119442 | − | 0.513167i | ||||
\(271\) | −11.0252 | + | 9.25122i | −0.669731 | + | 0.561971i | −0.912986 | − | 0.407991i | \(-0.866229\pi\) |
0.243254 | + | 0.969963i | \(0.421785\pi\) | |||||||
\(272\) | −2.17075 | + | 2.58700i | −0.131621 | + | 0.156860i | ||||
\(273\) | 6.76875 | + | 21.2082i | 0.409663 | + | 1.28358i | ||||
\(274\) | 8.67440 | + | 5.00817i | 0.524040 | + | 0.302554i | ||||
\(275\) | −0.173133 | + | 0.206332i | −0.0104403 | + | 0.0124423i | ||||
\(276\) | −0.979113 | − | 1.26679i | −0.0589357 | − | 0.0762516i | ||||
\(277\) | −16.1578 | −0.970830 | −0.485415 | − | 0.874284i | \(-0.661331\pi\) | ||||
−0.485415 | + | 0.874284i | \(0.661331\pi\) | |||||||
\(278\) | 1.28830 | − | 2.23140i | 0.0772671 | − | 0.133831i | ||||
\(279\) | 17.2146 | − | 8.17471i | 1.03061 | − | 0.489407i | ||||
\(280\) | 5.07346 | + | 6.04631i | 0.303197 | + | 0.361336i | ||||
\(281\) | −23.8395 | + | 8.67685i | −1.42214 | + | 0.517618i | −0.934669 | − | 0.355520i | \(-0.884304\pi\) |
−0.487474 | + | 0.873138i | \(0.662082\pi\) | |||||||
\(282\) | 0.581676 | − | 14.4878i | 0.0346383 | − | 0.862734i | ||||
\(283\) | −5.15638 | − | 29.2433i | −0.306515 | − | 1.73833i | −0.616286 | − | 0.787522i | \(-0.711363\pi\) |
0.309771 | − | 0.950811i | \(-0.399748\pi\) | |||||||
\(284\) | 2.52665 | + | 4.37628i | 0.149929 | + | 0.259684i | ||||
\(285\) | 10.6329 | − | 6.72139i | 0.629839 | − | 0.398141i | ||||
\(286\) | −0.164303 | + | 0.284582i | −0.00971546 | + | 0.0168277i | ||||
\(287\) | −18.6469 | − | 6.78690i | −1.10069 | − | 0.400618i | ||||
\(288\) | 2.13614 | + | 2.10640i | 0.125873 | + | 0.124121i | ||||
\(289\) | 4.28623 | + | 3.59657i | 0.252131 | + | 0.211563i | ||||
\(290\) | −12.5856 | + | 2.21919i | −0.739055 | + | 0.130315i | ||||
\(291\) | −24.1693 | + | 3.26818i | −1.41683 | + | 0.191584i | ||||
\(292\) | −3.38282 | −0.197964 | ||||||||
\(293\) | −10.9830 | + | 19.0231i | −0.641633 | + | 1.11134i | 0.343435 | + | 0.939176i | \(0.388410\pi\) |
−0.985068 | + | 0.172165i | \(0.944924\pi\) | |||||||
\(294\) | −24.7446 | − | 10.1481i | −1.44313 | − | 0.591847i | ||||
\(295\) | −0.676130 | − | 0.119220i | −0.0393658 | − | 0.00694125i | ||||
\(296\) | 5.94686 | − | 3.43342i | 0.345654 | − | 0.199564i | ||||
\(297\) | −0.0755772 | + | 0.624767i | −0.00438543 | + | 0.0362526i | ||||
\(298\) | −14.7114 | − | 2.59402i | −0.852210 | − | 0.150268i | ||||
\(299\) | −0.435516 | − | 2.46994i | −0.0251866 | − | 0.142840i | ||||
\(300\) | 0.516166 | + | 3.81722i | 0.0298008 | + | 0.220387i | ||||
\(301\) | 1.16593 | − | 0.978331i | 0.0672031 | − | 0.0563901i | ||||
\(302\) | 14.2458 | − | 2.51192i | 0.819755 | − | 0.144545i | ||||
\(303\) | −3.80843 | − | 11.9328i | −0.218789 | − | 0.685521i | ||||
\(304\) | −1.86986 | + | 3.93746i | −0.107244 | + | 0.225829i | ||||
\(305\) | − | 17.1267i | − | 0.980671i | ||||||
\(306\) | −7.11349 | + | 7.21393i | −0.406651 | + | 0.412393i | ||||
\(307\) | −17.6988 | + | 3.12078i | −1.01013 | + | 0.178112i | −0.654135 | − | 0.756377i | \(-0.726967\pi\) |
−0.355990 | + | 0.934490i | \(0.615856\pi\) | |||||||
\(308\) | −0.196229 | − | 0.539135i | −0.0111812 | − | 0.0307201i | ||||
\(309\) | −2.06424 | + | 1.08379i | −0.117431 | + | 0.0616547i | ||||
\(310\) | 9.94566 | − | 3.61992i | 0.564876 | − | 0.205598i | ||||
\(311\) | − | 12.0461i | − | 0.683073i | −0.939869 | − | 0.341537i | \(-0.889053\pi\) | ||
0.939869 | − | 0.341537i | \(-0.110947\pi\) | |||||||
\(312\) | 1.42885 | + | 4.47696i | 0.0808928 | + | 0.253458i | ||||
\(313\) | −3.05256 | + | 17.3119i | −0.172541 | + | 0.978526i | 0.768404 | + | 0.639965i | \(0.221051\pi\) |
−0.940944 | + | 0.338561i | \(0.890060\pi\) | |||||||
\(314\) | −19.9315 | + | 7.25448i | −1.12480 | + | 0.409394i | ||||
\(315\) | 13.7172 | + | 19.3008i | 0.772876 | + | 1.08747i | ||||
\(316\) | −0.152647 | − | 0.0881307i | −0.00858705 | − | 0.00495774i | ||||
\(317\) | 6.82314 | + | 5.72529i | 0.383225 | + | 0.321564i | 0.813967 | − | 0.580911i | \(-0.197304\pi\) |
−0.430742 | + | 0.902475i | \(0.641748\pi\) | |||||||
\(318\) | −8.89952 | + | 14.0781i | −0.499061 | + | 0.789461i | ||||
\(319\) | 0.914853 | + | 0.161313i | 0.0512219 | + | 0.00903180i | ||||
\(320\) | 1.07098 | + | 1.27635i | 0.0598698 | + | 0.0713500i | ||||
\(321\) | 9.27613 | + | 17.6678i | 0.517743 | + | 0.986121i | ||||
\(322\) | 3.79228 | + | 2.18947i | 0.211336 | + | 0.122015i | ||||
\(323\) | −13.2972 | − | 6.31470i | −0.739874 | − | 0.351359i | ||||
\(324\) | 5.88118 | + | 6.81261i | 0.326732 | + | 0.378478i | ||||
\(325\) | −2.06376 | + | 5.67013i | −0.114477 | + | 0.314522i | ||||
\(326\) | 13.7175 | + | 4.99276i | 0.759741 | + | 0.276523i | ||||
\(327\) | −1.60062 | + | 0.216436i | −0.0885145 | + | 0.0119690i | ||||
\(328\) | −3.93626 | − | 1.43268i | −0.217344 | − | 0.0791067i | ||||
\(329\) | 13.5632 | + | 37.2647i | 0.747766 | + | 2.05447i | ||||
\(330\) | −0.0744524 | + | 0.341494i | −0.00409847 | + | 0.0187986i | ||||
\(331\) | 9.86851i | 0.542422i | 0.962520 | + | 0.271211i | \(0.0874242\pi\) | ||||
−0.962520 | + | 0.271211i | \(0.912576\pi\) | |||||||
\(332\) | −5.73494 | − | 15.7566i | −0.314746 | − | 0.864757i | ||||
\(333\) | 18.6089 | − | 8.83684i | 1.01976 | − | 0.484256i | ||||
\(334\) | 5.68265 | + | 9.84265i | 0.310941 | + | 0.538566i | ||||
\(335\) | 8.37361 | + | 14.5035i | 0.457499 | + | 0.792412i | ||||
\(336\) | −7.59145 | − | 3.11335i | −0.414148 | − | 0.169847i | ||||
\(337\) | −3.94156 | + | 10.8293i | −0.214710 | + | 0.589912i | −0.999557 | − | 0.0297790i | \(-0.990520\pi\) |
0.784846 | + | 0.619691i | \(0.212742\pi\) | |||||||
\(338\) | 0.979100 | − | 5.55275i | 0.0532560 | − | 0.302030i | ||||
\(339\) | 0.0182797 | 0.000733921i | 0.000992818 | 3.98611e-5i | ||||||
\(340\) | −4.31034 | + | 3.61680i | −0.233761 | + | 0.196149i | ||||
\(341\) | −0.769349 | −0.0416626 | ||||||||
\(342\) | −6.53853 | + | 11.3246i | −0.353563 | + | 0.612367i | ||||
\(343\) | 39.9868 | 2.15909 | ||||||||
\(344\) | 0.246122 | − | 0.206521i | 0.0132700 | − | 0.0111349i | ||||
\(345\) | −1.24006 | − | 2.36188i | −0.0667624 | − | 0.127159i | ||||
\(346\) | −3.77452 | + | 21.4064i | −0.202919 | + | 1.15081i | ||||
\(347\) | −3.67371 | + | 10.0934i | −0.197215 | + | 0.541844i | −0.998398 | − | 0.0565751i | \(-0.981982\pi\) |
0.801183 | + | 0.598419i | \(0.204204\pi\) | |||||||
\(348\) | 10.5115 | − | 8.12444i | 0.563475 | − | 0.435516i | ||||
\(349\) | −1.85698 | − | 3.21638i | −0.0994019 | − | 0.172169i | 0.812035 | − | 0.583608i | \(-0.198360\pi\) |
−0.911437 | + | 0.411439i | \(0.865026\pi\) | |||||||
\(350\) | −5.26760 | − | 9.12375i | −0.281565 | − | 0.487685i | ||||
\(351\) | 3.19601 | + | 13.7313i | 0.170590 | + | 0.732922i | ||||
\(352\) | −0.0414231 | − | 0.113809i | −0.00220786 | − | 0.00606604i | ||||
\(353\) | 17.2787i | 0.919651i | 0.888009 | + | 0.459825i | \(0.152088\pi\) | ||||
−0.888009 | + | 0.459825i | \(0.847912\pi\) | |||||||
\(354\) | 0.679925 | − | 0.217003i | 0.0361376 | − | 0.0115336i | ||||
\(355\) | 2.87966 | + | 7.91180i | 0.152837 | + | 0.419915i | ||||
\(356\) | −15.9431 | − | 5.80281i | −0.844982 | − | 0.307548i | ||||
\(357\) | 10.5141 | − | 25.6370i | 0.556463 | − | 1.35685i | ||||
\(358\) | −5.77982 | − | 2.10368i | −0.305473 | − | 0.111183i | ||||
\(359\) | −2.90693 | + | 7.98672i | −0.153422 | + | 0.421523i | −0.992463 | − | 0.122545i | \(-0.960894\pi\) |
0.839041 | + | 0.544068i | \(0.183117\pi\) | |||||||
\(360\) | 2.89563 | + | 4.07430i | 0.152613 | + | 0.214734i | ||||
\(361\) | −18.6631 | − | 3.56195i | −0.982270 | − | 0.187471i | ||||
\(362\) | −21.2343 | − | 12.2596i | −1.11605 | − | 0.644352i | ||||
\(363\) | −10.1670 | + | 16.0831i | −0.533627 | + | 0.844143i | ||||
\(364\) | −8.26180 | − | 9.84603i | −0.433036 | − | 0.516072i | ||||
\(365\) | −5.55067 | − | 0.978732i | −0.290535 | − | 0.0512292i | ||||
\(366\) | 8.27631 | + | 15.7635i | 0.432609 | + | 0.823970i | ||||
\(367\) | 11.4886 | + | 9.64007i | 0.599699 | + | 0.503207i | 0.891349 | − | 0.453318i | \(-0.149760\pi\) |
−0.291650 | + | 0.956525i | \(0.594204\pi\) | |||||||
\(368\) | 0.800533 | + | 0.462188i | 0.0417307 | + | 0.0240932i | ||||
\(369\) | −11.4262 | − | 5.23092i | −0.594825 | − | 0.272311i | ||||
\(370\) | 10.7512 | − | 3.91313i | 0.558930 | − | 0.203434i | ||||
\(371\) | 7.91007 | − | 44.8602i | 0.410670 | − | 2.32903i | ||||
\(372\) | −7.40474 | + | 8.13794i | −0.383918 | + | 0.421932i | ||||
\(373\) | 5.40723i | 0.279976i | 0.990153 | + | 0.139988i | \(0.0447064\pi\) | ||||
−0.990153 | + | 0.139988i | \(0.955294\pi\) | |||||||
\(374\) | 0.384343 | − | 0.139889i | 0.0198739 | − | 0.00723351i | ||||
\(375\) | −0.836333 | + | 20.8305i | −0.0431881 | + | 1.07568i | ||||
\(376\) | 2.86314 | + | 7.86640i | 0.147655 | + | 0.405679i | ||||
\(377\) | 20.4949 | − | 3.61381i | 1.05554 | − | 0.186121i | ||||
\(378\) | −21.9523 | − | 11.1358i | −1.12910 | − | 0.572764i | ||||
\(379\) | 23.3306i | 1.19841i | 0.800595 | + | 0.599206i | \(0.204517\pi\) | ||||
−0.800595 | + | 0.599206i | \(0.795483\pi\) | |||||||
\(380\) | −4.20736 | + | 5.91975i | −0.215833 | + | 0.303677i | ||||
\(381\) | 16.1775 | − | 17.7794i | 0.828800 | − | 0.910866i | ||||
\(382\) | 7.03537 | − | 1.24053i | 0.359961 | − | 0.0634709i | ||||
\(383\) | −0.00554516 | + | 0.00465294i | −0.000283344 | + | 0.000237754i | −0.642929 | − | 0.765926i | \(-0.722281\pi\) |
0.642646 | + | 0.766163i | \(0.277837\pi\) | |||||||
\(384\) | −1.60252 | − | 0.657214i | −0.0817782 | − | 0.0335383i | ||||
\(385\) | −0.165996 | − | 0.941409i | −0.00845993 | − | 0.0479787i | ||||
\(386\) | 9.72146 | + | 1.71416i | 0.494810 | + | 0.0872483i | ||||
\(387\) | 0.785660 | − | 0.558374i | 0.0399374 | − | 0.0283838i | ||||
\(388\) | 12.1946 | − | 7.04058i | 0.619089 | − | 0.357431i | ||||
\(389\) | 36.6850 | + | 6.46856i | 1.86000 | + | 0.327969i | 0.987123 | − | 0.159965i | \(-0.0511380\pi\) |
0.872881 | + | 0.487933i | \(0.162249\pi\) | |||||||
\(390\) | 1.04922 | + | 7.75938i | 0.0531296 | + | 0.392911i | ||||
\(391\) | −1.56085 | + | 2.70347i | −0.0789355 | + | 0.136720i | ||||
\(392\) | 15.4410 | 0.779890 | ||||||||
\(393\) | −7.81247 | + | 19.0496i | −0.394087 | + | 0.960923i | ||||
\(394\) | 8.53789 | − | 1.50546i | 0.430133 | − | 0.0758440i | ||||
\(395\) | −0.224971 | − | 0.188773i | −0.0113195 | − | 0.00949819i | ||||
\(396\) | −0.0964971 | − | 0.350291i | −0.00484916 | − | 0.0176028i | ||||
\(397\) | −33.7228 | − | 12.2741i | −1.69250 | − | 0.616019i | −0.697561 | − | 0.716525i | \(-0.745732\pi\) |
−0.994936 | + | 0.100506i | \(0.967954\pi\) | |||||||
\(398\) | 3.86396 | − | 6.69257i | 0.193683 | − | 0.335468i | ||||
\(399\) | 4.79312 | − | 35.4424i | 0.239956 | − | 1.77434i | ||||
\(400\) | −1.11197 | − | 1.92598i | −0.0555983 | − | 0.0962991i | ||||
\(401\) | 2.72158 | + | 15.4348i | 0.135909 | + | 0.770779i | 0.974222 | + | 0.225590i | \(0.0724311\pi\) |
−0.838313 | + | 0.545189i | \(0.816458\pi\) | |||||||
\(402\) | −14.7158 | − | 9.30264i | −0.733957 | − | 0.463973i | ||||
\(403\) | −16.1959 | + | 5.89482i | −0.806774 | + | 0.293642i | ||||
\(404\) | 4.64850 | + | 5.53986i | 0.231271 | + | 0.275618i | ||||
\(405\) | 7.67903 | + | 12.8800i | 0.381574 | + | 0.640011i | ||||
\(406\) | −18.1677 | + | 31.4674i | −0.901649 | + | 1.56170i | ||||
\(407\) | −0.831664 | −0.0412240 | ||||||||
\(408\) | 2.21947 | − | 5.41185i | 0.109880 | − | 0.267927i | ||||
\(409\) | −18.2083 | + | 21.6997i | −0.900340 | + | 1.07298i | 0.0966395 | + | 0.995319i | \(0.469191\pi\) |
−0.996980 | + | 0.0776640i | \(0.975254\pi\) | |||||||
\(410\) | −6.04427 | − | 3.48966i | −0.298505 | − | 0.172342i | ||||
\(411\) | −16.9506 | − | 3.69557i | −0.836113 | − | 0.182289i | ||||
\(412\) | 0.865236 | − | 1.03115i | 0.0426271 | − | 0.0508010i | ||||
\(413\) | −1.49534 | + | 1.25474i | −0.0735807 | + | 0.0617415i | ||||
\(414\) | 2.28271 | + | 1.57464i | 0.112189 | + | 0.0773891i | ||||
\(415\) | −4.85135 | − | 27.5134i | −0.238143 | − | 1.35058i | ||||
\(416\) | −1.74403 | − | 2.07845i | −0.0855080 | − | 0.101904i | ||||
\(417\) | −0.950648 | + | 4.36037i | −0.0465534 | + | 0.213528i | ||||
\(418\) | 0.434563 | − | 0.299756i | 0.0212552 | − | 0.0146615i | ||||
\(419\) | 2.18569 | − | 1.26191i | 0.106778 | − | 0.0616483i | −0.445660 | − | 0.895202i | \(-0.647031\pi\) |
0.552438 | + | 0.833554i | \(0.313698\pi\) | |||||||
\(420\) | −11.5556 | − | 7.30491i | −0.563855 | − | 0.356443i | ||||
\(421\) | 3.25949 | − | 8.95537i | 0.158858 | − | 0.436458i | −0.834572 | − | 0.550898i | \(-0.814285\pi\) |
0.993430 | + | 0.114440i | \(0.0365075\pi\) | |||||||
\(422\) | 4.80970 | − | 5.73198i | 0.234133 | − | 0.279028i | ||||
\(423\) | 6.66982 | + | 24.2119i | 0.324298 | + | 1.17722i | ||||
\(424\) | 1.66978 | − | 9.46978i | 0.0810916 | − | 0.459893i | ||||
\(425\) | 6.50421 | − | 3.75521i | 0.315501 | − | 0.182154i | ||||
\(426\) | −6.47375 | − | 5.89049i | −0.313654 | − | 0.285395i | ||||
\(427\) | −37.3021 | − | 31.3002i | −1.80518 | − | 1.51472i | ||||
\(428\) | −8.82557 | − | 7.40553i | −0.426600 | − | 0.357960i | ||||
\(429\) | 0.121241 | − | 0.556100i | 0.00585357 | − | 0.0268488i | ||||
\(430\) | 0.463599 | − | 0.267659i | 0.0223567 | − | 0.0129077i | ||||
\(431\) | −4.60818 | + | 26.1343i | −0.221968 | + | 1.25884i | 0.646429 | + | 0.762974i | \(0.276262\pi\) |
−0.868397 | + | 0.495869i | \(0.834849\pi\) | |||||||
\(432\) | −4.63402 | − | 2.35072i | −0.222954 | − | 0.113099i | ||||
\(433\) | −0.845064 | + | 1.00711i | −0.0406112 | + | 0.0483985i | −0.785968 | − | 0.618268i | \(-0.787835\pi\) |
0.745357 | + | 0.666666i | \(0.232279\pi\) | |||||||
\(434\) | 10.2921 | − | 28.2774i | 0.494039 | − | 1.35736i | ||||
\(435\) | 19.5983 | − | 10.2897i | 0.939665 | − | 0.493353i | ||||
\(436\) | 0.807594 | − | 0.466265i | 0.0386767 | − | 0.0223300i | ||||
\(437\) | −1.07017 | + | 3.88454i | −0.0511933 | + | 0.185823i | ||||
\(438\) | 5.58182 | − | 1.78148i | 0.266710 | − | 0.0851222i | ||||
\(439\) | −17.6414 | − | 21.0242i | −0.841976 | − | 1.00343i | −0.999872 | − | 0.0159727i | \(-0.994916\pi\) |
0.157896 | − | 0.987456i | \(-0.449529\pi\) | |||||||
\(440\) | −0.0350410 | − | 0.198727i | −0.00167051 | − | 0.00947394i | ||||
\(441\) | 46.1740 | + | 3.71371i | 2.19876 | + | 0.176843i | ||||
\(442\) | 7.01911 | − | 5.88973i | 0.333865 | − | 0.280146i | ||||
\(443\) | 17.1329 | − | 20.4182i | 0.814008 | − | 0.970097i | −0.185914 | − | 0.982566i | \(-0.559525\pi\) |
0.999922 | + | 0.0124686i | \(0.00396897\pi\) | |||||||
\(444\) | −8.00449 | + | 8.79708i | −0.379876 | + | 0.417491i | ||||
\(445\) | −24.4812 | − | 14.1342i | −1.16052 | − | 0.670026i | ||||
\(446\) | 2.87027 | − | 3.42065i | 0.135911 | − | 0.161972i | ||||
\(447\) | 25.6407 | − | 3.46714i | 1.21276 | − | 0.163990i | ||||
\(448\) | 4.73720 | 0.223811 | ||||||||
\(449\) | −8.21814 | + | 14.2342i | −0.387838 | + | 0.671755i | −0.992158 | − | 0.124986i | \(-0.960111\pi\) |
0.604320 | + | 0.796741i | \(0.293445\pi\) | |||||||
\(450\) | −2.86194 | − | 6.02679i | −0.134913 | − | 0.284105i | ||||
\(451\) | 0.326104 | + | 0.388636i | 0.0153557 | + | 0.0183002i | ||||
\(452\) | −0.00992532 | + | 0.00361252i | −0.000466848 | + | 0.000169919i | ||||
\(453\) | −22.1835 | + | 11.6470i | −1.04227 | + | 0.547224i | ||||
\(454\) | −3.35768 | − | 19.0423i | −0.157584 | − | 0.893701i | ||||
\(455\) | −10.7076 | − | 18.5461i | −0.501980 | − | 0.869455i | ||||
\(456\) | 1.01181 | − | 7.48173i | 0.0473822 | − | 0.350364i | ||||
\(457\) | −19.8863 | + | 34.4441i | −0.930242 | + | 1.61123i | −0.147337 | + | 0.989086i | \(0.547070\pi\) |
−0.782906 | + | 0.622141i | \(0.786263\pi\) | |||||||
\(458\) | 13.2676 | + | 4.82900i | 0.619953 | + | 0.225644i | ||||
\(459\) | 7.93858 | − | 15.6495i | 0.370541 | − | 0.730456i | ||||
\(460\) | 1.17982 | + | 0.989990i | 0.0550096 | + | 0.0461585i | ||||
\(461\) | 11.4381 | − | 2.01685i | 0.532726 | − | 0.0939340i | 0.0991871 | − | 0.995069i | \(-0.468376\pi\) |
0.433539 | + | 0.901135i | \(0.357265\pi\) | |||||||
\(462\) | 0.607710 | + | 0.786261i | 0.0282732 | + | 0.0365802i | ||||
\(463\) | 10.6843 | 0.496543 | 0.248272 | − | 0.968690i | \(-0.420137\pi\) | ||||
0.248272 | + | 0.968690i | \(0.420137\pi\) | |||||||
\(464\) | −3.83512 | + | 6.64262i | −0.178041 | + | 0.308376i | ||||
\(465\) | −14.5045 | + | 11.2107i | −0.672630 | + | 0.519883i | ||||
\(466\) | −9.43386 | − | 1.66344i | −0.437015 | − | 0.0770575i | ||||
\(467\) | 3.72649 | − | 2.15149i | 0.172442 | − | 0.0995592i | −0.411295 | − | 0.911502i | \(-0.634923\pi\) |
0.583737 | + | 0.811943i | \(0.301590\pi\) | |||||||
\(468\) | −4.71535 | − | 6.63474i | −0.217967 | − | 0.306691i | ||||
\(469\) | 46.8922 | + | 8.26836i | 2.16528 | + | 0.381797i | ||||
\(470\) | 2.42201 | + | 13.7359i | 0.111719 | + | 0.633590i | ||||
\(471\) | 29.0676 | − | 22.4667i | 1.33937 | − | 1.03521i | ||||
\(472\) | −0.315659 | + | 0.264869i | −0.0145294 | + | 0.0121916i | ||||
\(473\) | −0.0383212 | + | 0.00675706i | −0.00176201 | + | 0.000310690i | ||||
\(474\) | 0.298287 | + | 0.0650324i | 0.0137008 | + | 0.00298704i | ||||
\(475\) | 6.90262 | − | 6.80628i | 0.316714 | − | 0.312294i | ||||
\(476\) | 15.9979i | 0.733264i | ||||||||
\(477\) | 7.27078 | − | 27.9163i | 0.332906 | − | 1.27820i | ||||
\(478\) | 14.8339 | − | 2.61563i | 0.678489 | − | 0.119636i | ||||
\(479\) | −9.77813 | − | 26.8652i | −0.446774 | − | 1.22750i | −0.934957 | − | 0.354761i | \(-0.884562\pi\) |
0.488183 | − | 0.872741i | \(-0.337660\pi\) | |||||||
\(480\) | −2.43933 | − | 1.54203i | −0.111340 | − | 0.0703838i | ||||
\(481\) | −17.5077 | + | 6.37228i | −0.798282 | + | 0.290551i | ||||
\(482\) | − | 19.4056i | − | 0.883900i | ||||||
\(483\) | −7.41049 | − | 1.61563i | −0.337189 | − | 0.0735139i | ||||
\(484\) | 1.90758 | − | 10.8184i | 0.0867083 | − | 0.491747i | ||||
\(485\) | 22.0465 | − | 8.02426i | 1.00108 | − | 0.364363i | ||||
\(486\) | −13.2919 | − | 8.14397i | −0.602935 | − | 0.369418i | ||||
\(487\) | −8.55601 | − | 4.93982i | −0.387710 | − | 0.223844i | 0.293457 | − | 0.955972i | \(-0.405194\pi\) |
−0.681167 | + | 0.732128i | \(0.738527\pi\) | |||||||
\(488\) | −7.87431 | − | 6.60733i | −0.356453 | − | 0.299100i | ||||
\(489\) | −25.2639 | − | 1.01433i | −1.14247 | − | 0.0458696i | ||||
\(490\) | 25.3363 | + | 4.46747i | 1.14458 | + | 0.201820i | ||||
\(491\) | −19.3528 | − | 23.0638i | −0.873380 | − | 1.04085i | −0.998811 | − | 0.0487519i | \(-0.984476\pi\) |
0.125430 | − | 0.992102i | \(-0.459969\pi\) | |||||||
\(492\) | 7.24952 | + | 0.291064i | 0.326834 | + | 0.0131222i | ||||
\(493\) | −22.4327 | − | 12.9515i | −1.01032 | − | 0.583308i | ||||
\(494\) | 6.85141 | − | 9.63994i | 0.308259 | − | 0.433721i | ||||
\(495\) | −0.0569888 | − | 0.602690i | −0.00256146 | − | 0.0270889i | ||||
\(496\) | 2.17262 | − | 5.96923i | 0.0975537 | − | 0.268027i | ||||
\(497\) | 22.4948 | + | 8.18743i | 1.00903 | + | 0.367256i | ||||
\(498\) | 17.7608 | + | 22.9791i | 0.795879 | + | 1.02972i | ||||
\(499\) | 19.8793 | + | 7.23546i | 0.889918 | + | 0.323904i | 0.746206 | − | 0.665716i | \(-0.231874\pi\) |
0.143713 | + | 0.989619i | \(0.454096\pi\) | |||||||
\(500\) | −4.11662 | − | 11.3103i | −0.184101 | − | 0.505812i | ||||
\(501\) | −14.5600 | − | 13.2482i | −0.650495 | − | 0.591887i | ||||
\(502\) | 21.2126i | 0.946765i | ||||||||
\(503\) | 14.1728 | + | 38.9395i | 0.631934 | + | 1.73623i | 0.675693 | + | 0.737183i | \(0.263844\pi\) |
−0.0437589 | + | 0.999042i | \(0.513933\pi\) | |||||||
\(504\) | 14.1658 | + | 1.13934i | 0.630997 | + | 0.0507502i | ||||
\(505\) | 6.02462 | + | 10.4350i | 0.268092 | + | 0.464349i | ||||
\(506\) | −0.0559769 | − | 0.0969549i | −0.00248848 | − | 0.00431017i | ||||
\(507\) | 1.30865 | + | 9.67794i | 0.0581193 | + | 0.429812i | ||||
\(508\) | −4.74665 | + | 13.0413i | −0.210599 | + | 0.578615i | ||||
\(509\) | 2.36187 | − | 13.3948i | 0.104688 | − | 0.593716i | −0.886656 | − | 0.462429i | \(-0.846978\pi\) |
0.991344 | − | 0.131287i | \(-0.0419109\pi\) | |||||||
\(510\) | 5.20758 | − | 8.23784i | 0.230595 | − | 0.364778i | ||||
\(511\) | −12.2759 | + | 10.3007i | −0.543055 | + | 0.455677i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 4.82507 | − | 22.1296i | 0.213032 | − | 0.977045i | ||||
\(514\) | −10.1413 | −0.447312 | ||||||||
\(515\) | 1.71805 | − | 1.44162i | 0.0757064 | − | 0.0635252i | ||||
\(516\) | −0.297355 | + | 0.470384i | −0.0130903 | + | 0.0207075i | ||||
\(517\) | 0.176056 | − | 0.998464i | 0.00774294 | − | 0.0439124i | ||||
\(518\) | 11.1258 | − | 30.5678i | 0.488838 | − | 1.34307i | ||||
\(519\) | −5.04498 | − | 37.3093i | −0.221450 | − | 1.63770i | ||||
\(520\) | −2.26032 | − | 3.91500i | −0.0991218 | − | 0.171684i | ||||
\(521\) | −6.43606 | − | 11.1476i | −0.281969 | − | 0.488385i | 0.689901 | − | 0.723904i | \(-0.257654\pi\) |
−0.971870 | + | 0.235519i | \(0.924321\pi\) | |||||||
\(522\) | −13.0659 | + | 18.9413i | −0.571881 | + | 0.829040i | ||||
\(523\) | −2.91285 | − | 8.00298i | −0.127370 | − | 0.349946i | 0.859574 | − | 0.511012i | \(-0.170729\pi\) |
−0.986944 | + | 0.161066i | \(0.948507\pi\) | |||||||
\(524\) | − | 11.8873i | − | 0.519297i | ||||||
\(525\) | 13.4966 | + | 12.2806i | 0.589040 | + | 0.535969i | ||||
\(526\) | 1.26310 | + | 3.47034i | 0.0550738 | + | 0.151314i | ||||
\(527\) | 20.1586 | + | 7.33714i | 0.878124 | + | 0.319611i | ||||
\(528\) | 0.128285 | + | 0.165976i | 0.00558288 | + | 0.00722318i | ||||
\(529\) | −20.8100 | − | 7.57422i | −0.904782 | − | 0.329314i | ||||
\(530\) | 5.47968 | − | 15.0553i | 0.238022 | − | 0.653960i | ||||
\(531\) | −1.00763 | + | 0.716131i | −0.0437275 | + | 0.0310774i | ||||
\(532\) | 5.20406 | + | 19.9824i | 0.225624 | + | 0.866348i | ||||
\(533\) | 9.84271 | + | 5.68269i | 0.426335 | + | 0.246145i | ||||
\(534\) | 29.3628 | + | 1.17890i | 1.27065 | + | 0.0510161i | ||||
\(535\) | −12.3388 | − | 14.7048i | −0.533451 | − | 0.635742i | ||||
\(536\) | 9.89872 | + | 1.74541i | 0.427560 | + | 0.0753903i | ||||
\(537\) | 10.6449 | + | 0.427385i | 0.459359 | + | 0.0184430i | ||||
\(538\) | −9.49778 | − | 7.96958i | −0.409478 | − | 0.343593i | ||||
\(539\) | −1.61956 | − | 0.935054i | −0.0697595 | − | 0.0402756i | ||||
\(540\) | −6.92357 | − | 5.19789i | −0.297943 | − | 0.223681i | ||||
\(541\) | −14.6165 | + | 5.31997i | −0.628412 | + | 0.228723i | −0.636540 | − | 0.771244i | \(-0.719635\pi\) |
0.00812778 | + | 0.999967i | \(0.497413\pi\) | |||||||
\(542\) | −2.49920 | + | 14.1737i | −0.107350 | + | 0.608812i | ||||
\(543\) | 41.4939 | + | 9.04650i | 1.78067 | + | 0.388223i | ||||
\(544\) | 3.37709i | 0.144791i | ||||||||
\(545\) | 1.46004 | − | 0.531409i | 0.0625410 | − | 0.0227631i | ||||
\(546\) | 18.8175 | + | 11.8956i | 0.805317 | + | 0.509084i | ||||
\(547\) | 2.51073 | + | 6.89817i | 0.107351 | + | 0.294944i | 0.981724 | − | 0.190310i | \(-0.0609493\pi\) |
−0.874373 | + | 0.485254i | \(0.838727\pi\) | |||||||
\(548\) | 9.86416 | − | 1.73932i | 0.421376 | − | 0.0743000i | ||||
\(549\) | −21.9578 | − | 21.6520i | −0.937135 | − | 0.924086i | ||||
\(550\) | 0.269347i | 0.0114850i | ||||||||
\(551\) | −32.2330 | − | 8.88003i | −1.37317 | − | 0.378302i | ||||
\(552\) | −1.56432 | − | 0.341053i | −0.0665818 | − | 0.0145162i | ||||
\(553\) | −0.822299 | + | 0.144994i | −0.0349677 | + | 0.00616575i | ||||
\(554\) | −12.3776 | + | 10.3861i | −0.525874 | + | 0.441261i | ||||
\(555\) | −15.6793 | + | 12.1187i | −0.665550 | + | 0.514411i | ||||
\(556\) | −0.447422 | − | 2.53746i | −0.0189749 | − | 0.107612i | ||||
\(557\) | −35.9125 | − | 6.33234i | −1.52166 | − | 0.268310i | −0.650575 | − | 0.759442i | \(-0.725472\pi\) |
−0.871085 | + | 0.491132i | \(0.836583\pi\) | |||||||
\(558\) | 7.93255 | − | 17.3275i | 0.335811 | − | 0.733533i | ||||
\(559\) | −0.754941 | + | 0.435866i | −0.0319306 | + | 0.0184352i | ||||
\(560\) | 7.77299 | + | 1.37059i | 0.328469 | + | 0.0579179i | ||||
\(561\) | −0.560516 | + | 0.433229i | −0.0236650 | + | 0.0182909i | ||||
\(562\) | −12.6847 | + | 21.9706i | −0.535072 | + | 0.926772i | ||||
\(563\) | 2.43844 | 0.102768 | 0.0513841 | − | 0.998679i | \(-0.483637\pi\) | ||||
0.0513841 | + | 0.998679i | \(0.483637\pi\) | |||||||
\(564\) | −8.86696 | − | 11.4722i | −0.373367 | − | 0.483065i | ||||
\(565\) | −0.0173311 | + | 0.00305593i | −0.000729123 | + | 0.000128564i | ||||
\(566\) | −22.7472 | − | 19.0872i | −0.956138 | − | 0.802295i | ||||
\(567\) | 42.0867 | + | 6.81403i | 1.76748 | + | 0.286162i | ||||
\(568\) | 4.74854 | + | 1.72833i | 0.199244 | + | 0.0725190i | ||||
\(569\) | 3.93448 | − | 6.81471i | 0.164942 | − | 0.285688i | −0.771693 | − | 0.635995i | \(-0.780590\pi\) |
0.936635 | + | 0.350308i | \(0.113923\pi\) | |||||||
\(570\) | 3.82486 | − | 11.9836i | 0.160206 | − | 0.501937i | ||||
\(571\) | 6.81260 | + | 11.7998i | 0.285098 | + | 0.493805i | 0.972633 | − | 0.232347i | \(-0.0746404\pi\) |
−0.687535 | + | 0.726152i | \(0.741307\pi\) | |||||||
\(572\) | 0.0570619 | + | 0.323614i | 0.00238588 | + | 0.0135310i | ||||
\(573\) | −10.9554 | + | 5.75193i | −0.457670 | + | 0.240291i | ||||
\(574\) | −18.6469 | + | 6.78690i | −0.778305 | + | 0.283280i | ||||
\(575\) | −1.32141 | − | 1.57479i | −0.0551066 | − | 0.0656735i | ||||
\(576\) | 2.99034 | + | 0.240509i | 0.124598 | + | 0.0100212i | ||||
\(577\) | −23.3904 | + | 40.5134i | −0.973757 | + | 1.68660i | −0.289779 | + | 0.957093i | \(0.593582\pi\) |
−0.683978 | + | 0.729503i | \(0.739751\pi\) | |||||||
\(578\) | 5.59527 | 0.232733 | ||||||||
\(579\) | −16.9436 | + | 2.29112i | −0.704153 | + | 0.0952157i | ||||
\(580\) | −8.21470 | + | 9.78989i | −0.341097 | + | 0.406503i | ||||
\(581\) | −68.7906 | − | 39.7163i | −2.85392 | − | 1.64771i | ||||
\(582\) | −16.4140 | + | 18.0393i | −0.680383 | + | 0.747753i | ||||
\(583\) | −0.748594 | + | 0.892140i | −0.0310036 | + | 0.0369487i | ||||
\(584\) | −2.59139 | + | 2.17443i | −0.107232 | + | 0.0899787i | ||||
\(585\) | −5.81755 | − | 12.2508i | −0.240526 | − | 0.506509i | ||||
\(586\) | 3.81435 | + | 21.6323i | 0.157569 | + | 0.893621i | ||||
\(587\) | −2.60137 | − | 3.10020i | −0.107370 | − | 0.127959i | 0.709683 | − | 0.704521i | \(-0.248838\pi\) |
−0.817053 | + | 0.576562i | \(0.804394\pi\) | |||||||
\(588\) | −25.4785 | + | 8.13163i | −1.05071 | + | 0.335343i | ||||
\(589\) | 27.5661 | + | 2.60704i | 1.13584 | + | 0.107421i | ||||
\(590\) | −0.594579 | + | 0.343280i | −0.0244784 | + | 0.0141326i | ||||
\(591\) | −13.2951 | + | 6.98035i | −0.546889 | + | 0.287133i | ||||
\(592\) | 2.34860 | − | 6.45272i | 0.0965268 | − | 0.265205i | ||||
\(593\) | −5.08913 | + | 6.06499i | −0.208986 | + | 0.249059i | −0.860348 | − | 0.509708i | \(-0.829754\pi\) |
0.651362 | + | 0.758767i | \(0.274198\pi\) | |||||||
\(594\) | 0.343697 | + | 0.527179i | 0.0141021 | + | 0.0216304i | ||||
\(595\) | −4.62859 | + | 26.2501i | −0.189754 | + | 1.07615i | ||||
\(596\) | −12.9370 | + | 7.46919i | −0.529921 | + | 0.305950i | ||||
\(597\) | −2.85125 | + | 13.0779i | −0.116694 | + | 0.535244i | ||||
\(598\) | −1.92127 | − | 1.61214i | −0.0785665 | − | 0.0659251i | ||||
\(599\) | −25.9061 | − | 21.7378i | −1.05849 | − | 0.888181i | −0.0645320 | − | 0.997916i | \(-0.520555\pi\) |
−0.993961 | + | 0.109735i | \(0.965000\pi\) | |||||||
\(600\) | 2.84907 | + | 2.59238i | 0.116313 | + | 0.105833i | ||||
\(601\) | 29.2631 | − | 16.8951i | 1.19367 | − | 0.689164i | 0.234531 | − | 0.972109i | \(-0.424644\pi\) |
0.959136 | + | 0.282944i | \(0.0913111\pi\) | |||||||
\(602\) | 0.264295 | − | 1.49889i | 0.0107718 | − | 0.0610902i | ||||
\(603\) | 29.1808 | + | 7.60011i | 1.18833 | + | 0.309501i | ||||
\(604\) | 9.29830 | − | 11.0813i | 0.378342 | − | 0.450891i | ||||
\(605\) | 6.26008 | − | 17.1994i | 0.254508 | − | 0.699256i | ||||
\(606\) | −10.5877 | − | 6.69304i | −0.430095 | − | 0.271886i | ||||
\(607\) | 5.55898 | − | 3.20948i | 0.225632 | − | 0.130269i | −0.382923 | − | 0.923780i | \(-0.625083\pi\) |
0.608555 | + | 0.793511i | \(0.291749\pi\) | |||||||
\(608\) | 1.09855 | + | 4.21820i | 0.0445522 | + | 0.171070i | ||||
\(609\) | 13.4061 | − | 61.4904i | 0.543244 | − | 2.49172i | ||||
\(610\) | −11.0088 | − | 13.1198i | −0.445734 | − | 0.531205i | ||||
\(611\) | −3.94409 | − | 22.3680i | −0.159561 | − | 0.904913i | ||||
\(612\) | −0.812221 | + | 10.0987i | −0.0328321 | + | 0.408214i | ||||
\(613\) | −17.8260 | + | 14.9578i | −0.719986 | + | 0.604140i | −0.927382 | − | 0.374117i | \(-0.877946\pi\) |
0.207395 | + | 0.978257i | \(0.433501\pi\) | |||||||
\(614\) | −11.5521 | + | 13.7672i | −0.466204 | + | 0.555601i | ||||
\(615\) | 11.8111 | + | 2.57505i | 0.476269 | + | 0.103836i | ||||
\(616\) | −0.496870 | − | 0.286868i | −0.0200195 | − | 0.0115582i | ||||
\(617\) | 9.53612 | − | 11.3647i | 0.383910 | − | 0.457526i | −0.539134 | − | 0.842220i | \(-0.681249\pi\) |
0.923044 | + | 0.384694i | \(0.125693\pi\) | |||||||
\(618\) | −0.884655 | + | 2.15710i | −0.0355860 | + | 0.0867714i | ||||
\(619\) | 29.4214 | 1.18255 | 0.591273 | − | 0.806472i | \(-0.298626\pi\) | ||||
0.591273 | + | 0.806472i | \(0.298626\pi\) | |||||||
\(620\) | 5.29198 | − | 9.16597i | 0.212531 | − | 0.368114i | ||||
\(621\) | −4.59582 | − | 1.39610i | −0.184424 | − | 0.0560235i | ||||
\(622\) | −7.74310 | − | 9.22787i | −0.310470 | − | 0.370004i | ||||
\(623\) | −75.5256 | + | 27.4891i | −3.02587 | + | 1.10133i | ||||
\(624\) | 3.97230 | + | 2.51110i | 0.159019 | + | 0.100524i | ||||
\(625\) | −1.55145 | − | 8.79873i | −0.0620581 | − | 0.351949i | ||||
\(626\) | 8.78948 | + | 15.2238i | 0.351298 | + | 0.608467i | ||||
\(627\) | −0.559192 | + | 0.723464i | −0.0223320 | + | 0.0288924i | ||||
\(628\) | −10.6053 | + | 18.3690i | −0.423199 | + | 0.733003i | ||||
\(629\) | 21.7914 | + | 7.93143i | 0.868881 | + | 0.316247i | ||||
\(630\) | 22.9143 | + | 5.96800i | 0.912926 | + | 0.237771i | ||||
\(631\) | −7.80744 | − | 6.55122i | −0.310809 | − | 0.260800i | 0.474017 | − | 0.880516i | \(-0.342803\pi\) |
−0.784826 | + | 0.619716i | \(0.787248\pi\) | |||||||
\(632\) | −0.173584 | + | 0.0306075i | −0.00690478 | + | 0.00121750i | ||||
\(633\) | −4.91765 | + | 11.9910i | −0.195459 | + | 0.476598i | ||||
\(634\) | 8.90697 | 0.353741 | ||||||||
\(635\) | −11.5617 | + | 20.0254i | −0.458811 | + | 0.794684i | ||||
\(636\) | 2.23180 | + | 16.5050i | 0.0884968 | + | 0.654464i | ||||
\(637\) | −41.2585 | − | 7.27499i | −1.63472 | − | 0.288246i | ||||
\(638\) | 0.804508 | − | 0.464483i | 0.0318508 | − | 0.0183890i | ||||
\(639\) | 13.7841 | + | 6.31036i | 0.545290 | + | 0.249634i | ||||
\(640\) | 1.64084 | + | 0.289325i | 0.0648599 | + | 0.0114366i | ||||
\(641\) | −6.94433 | − | 39.3833i | −0.274285 | − | 1.55555i | −0.741225 | − | 0.671257i | \(-0.765755\pi\) |
0.466940 | − | 0.884289i | \(-0.345356\pi\) | |||||||
\(642\) | 18.4626 | + | 7.57174i | 0.728660 | + | 0.298833i | ||||
\(643\) | 7.67586 | − | 6.44081i | 0.302706 | − | 0.254001i | −0.478763 | − | 0.877944i | \(-0.658915\pi\) |
0.781470 | + | 0.623943i | \(0.214470\pi\) | |||||||
\(644\) | 4.31242 | − | 0.760396i | 0.169933 | − | 0.0299638i | ||||
\(645\) | −0.624006 | + | 0.685794i | −0.0245702 | + | 0.0270031i | ||||
\(646\) | −14.2452 | + | 3.70991i | −0.560471 | + | 0.145964i | ||||
\(647\) | − | 6.39930i | − | 0.251582i | −0.992057 | − | 0.125791i | \(-0.959853\pi\) | ||
0.992057 | − | 0.125791i | \(-0.0401470\pi\) | |||||||
\(648\) | 8.88431 | + | 1.43841i | 0.349009 | + | 0.0565061i | ||||
\(649\) | 0.0491480 | − | 0.00866612i | 0.00192923 | − | 0.000340175i | ||||
\(650\) | 2.06376 | + | 5.67013i | 0.0809473 | + | 0.222401i | ||||
\(651\) | −2.09096 | + | 52.0793i | −0.0819510 | + | 2.04115i | ||||
\(652\) | 13.7175 | − | 4.99276i | 0.537218 | − | 0.195531i | ||||
\(653\) | − | 25.2882i | − | 0.989603i | −0.869006 | − | 0.494802i | \(-0.835241\pi\) | ||
0.869006 | − | 0.494802i | \(-0.164759\pi\) | |||||||
\(654\) | −1.08702 | + | 1.19466i | −0.0425060 | + | 0.0467149i | ||||
\(655\) | 3.43927 | − | 19.5051i | 0.134384 | − | 0.762127i | ||||
\(656\) | −3.93626 | + | 1.43268i | −0.153685 | + | 0.0559369i | ||||
\(657\) | −8.27211 | + | 5.87905i | −0.322726 | + | 0.229364i | ||||
\(658\) | 34.3433 | + | 19.8281i | 1.33884 | + | 0.772981i | ||||
\(659\) | 27.2183 | + | 22.8389i | 1.06027 | + | 0.889676i | 0.994136 | − | 0.108135i | \(-0.0344878\pi\) |
0.0661379 | + | 0.997810i | \(0.478932\pi\) | |||||||
\(660\) | 0.162474 | + | 0.309456i | 0.00632429 | + | 0.0120456i | ||||
\(661\) | 46.6417 | + | 8.22419i | 1.81415 | + | 0.319884i | 0.974694 | − | 0.223542i | \(-0.0717621\pi\) |
0.839457 | + | 0.543426i | \(0.182873\pi\) | |||||||
\(662\) | 6.34336 | + | 7.55972i | 0.246542 | + | 0.293817i | ||||
\(663\) | −8.48021 | + | 13.4148i | −0.329344 | + | 0.520988i | ||||
\(664\) | −14.5214 | − | 8.38392i | −0.563539 | − | 0.325359i | ||||
\(665\) | 2.75762 | + | 34.2936i | 0.106936 | + | 1.32985i | ||||
\(666\) | 8.57506 | − | 18.7310i | 0.332277 | − | 0.725811i | ||||
\(667\) | −2.42499 | + | 6.66259i | −0.0938958 | + | 0.257977i | ||||
\(668\) | 10.6799 | + | 3.88716i | 0.413218 | + | 0.150399i | ||||
\(669\) | −2.93468 | + | 7.15580i | −0.113461 | + | 0.276659i | ||||
\(670\) | 15.7372 | + | 5.72789i | 0.607983 | + | 0.221288i | ||||
\(671\) | 0.425795 | + | 1.16986i | 0.0164376 | + | 0.0451620i | ||||
\(672\) | −7.81661 | + | 2.49473i | −0.301532 | + | 0.0962361i | ||||
\(673\) | 19.3151i | 0.744541i | 0.928124 | + | 0.372271i | \(0.121421\pi\) | ||||
−0.928124 | + | 0.372271i | \(0.878579\pi\) | |||||||
\(674\) | 3.94156 | + | 10.8293i | 0.151823 | + | 0.417130i | ||||
\(675\) | 7.89621 | + | 8.43733i | 0.303925 | + | 0.324753i | ||||
\(676\) | −2.81921 | − | 4.88301i | −0.108431 | − | 0.187808i | ||||
\(677\) | 15.9793 | + | 27.6770i | 0.614135 | + | 1.06371i | 0.990536 | + | 0.137256i | \(0.0438283\pi\) |
−0.376401 | + | 0.926457i | \(0.622838\pi\) | |||||||
\(678\) | 0.0144748 | − | 0.0111878i | 0.000555903 | − | 0.000429663i | ||||
\(679\) | 22.8145 | − | 62.6824i | 0.875541 | − | 2.40553i | ||||
\(680\) | −0.977075 | + | 5.54127i | −0.0374691 | + | 0.212498i | ||||
\(681\) | 15.5685 | + | 29.6526i | 0.596586 | + | 1.13629i | ||||
\(682\) | −0.589356 | + | 0.494528i | −0.0225676 | + | 0.0189365i | ||||
\(683\) | 46.1202 | 1.76474 | 0.882370 | − | 0.470557i | \(-0.155947\pi\) | ||||
0.882370 | + | 0.470557i | \(0.155947\pi\) | |||||||
\(684\) | 2.27053 | + | 12.8781i | 0.0868160 | + | 0.492405i | ||||
\(685\) | 16.6888 | 0.637644 | ||||||||
\(686\) | 30.6317 | − | 25.7030i | 1.16952 | − | 0.981346i | ||||
\(687\) | −24.4352 | − | 0.981062i | −0.932263 | − | 0.0374298i | ||||
\(688\) | 0.0557914 | − | 0.316409i | 0.00212703 | − | 0.0120630i | ||||
\(689\) | −8.92331 | + | 24.5166i | −0.339951 | + | 0.934008i | ||||
\(690\) | −2.46812 | − | 1.01221i | −0.0939599 | − | 0.0385341i | ||||
\(691\) | −7.27929 | − | 12.6081i | −0.276917 | − | 0.479635i | 0.693700 | − | 0.720264i | \(-0.255979\pi\) |
−0.970617 | + | 0.240629i | \(0.922646\pi\) | |||||||
\(692\) | 10.8683 | + | 18.8244i | 0.413150 | + | 0.715598i | ||||
\(693\) | −1.41682 | − | 0.977335i | −0.0538204 | − | 0.0371259i | ||||
\(694\) | 3.67371 | + | 10.0934i | 0.139452 | + | 0.383142i | ||||
\(695\) | − | 4.29301i | − | 0.162843i | ||||||
\(696\) | 2.82997 | − | 12.9803i | 0.107270 | − | 0.492018i | ||||
\(697\) | −4.83830 | − | 13.2931i | −0.183264 | − | 0.503513i | ||||
\(698\) | −3.48998 | − | 1.27025i | −0.132098 | − | 0.0480797i | ||||
\(699\) | 16.4424 | − | 2.22334i | 0.621907 | − | 0.0840944i | ||||
\(700\) | −9.89985 | − | 3.60325i | −0.374179 | − | 0.136190i | ||||
\(701\) | −1.84822 | + | 5.07793i | −0.0698062 | + | 0.191791i | −0.969690 | − | 0.244339i | \(-0.921429\pi\) |
0.899884 | + | 0.436130i | \(0.143651\pi\) | |||||||
\(702\) | 11.2746 | + | 8.46443i | 0.425532 | + | 0.319469i | ||||
\(703\) | 29.7989 | + | 2.81820i | 1.12389 | + | 0.106290i | ||||
\(704\) | −0.104887 | − | 0.0605565i | −0.00395307 | − | 0.00228231i | ||||
\(705\) | −11.2301 | − | 21.3894i | −0.422950 | − | 0.805572i | ||||
\(706\) | 11.1065 | + | 13.2362i | 0.417999 | + | 0.498152i | ||||
\(707\) | 33.7379 | + | 5.94890i | 1.26884 | + | 0.223731i | ||||
\(708\) | 0.381366 | − | 0.603281i | 0.0143326 | − | 0.0226727i | ||||
\(709\) | −10.9802 | − | 9.21351i | −0.412371 | − | 0.346021i | 0.412881 | − | 0.910785i | \(-0.364523\pi\) |
−0.825252 | + | 0.564764i | \(0.808967\pi\) | |||||||
\(710\) | 7.29156 | + | 4.20978i | 0.273647 | + | 0.157990i | ||||
\(711\) | −0.526436 | + | 0.0497784i | −0.0197429 | + | 0.00186684i | ||||
\(712\) | −15.9431 | + | 5.80281i | −0.597493 | + | 0.217470i | ||||
\(713\) | 1.01965 | − | 5.78273i | 0.0381862 | − | 0.216565i | ||||
\(714\) | −8.42491 | − | 26.3974i | −0.315294 | − | 0.987898i | ||||
\(715\) | 0.547509i | 0.0204757i | ||||||||
\(716\) | −5.77982 | + | 2.10368i | −0.216002 | + | 0.0786184i | ||||
\(717\) | −23.0993 | + | 12.1278i | −0.862660 | + | 0.452923i | ||||
\(718\) | 2.90693 | + | 7.98672i | 0.108486 | + | 0.298062i | ||||
\(719\) | −6.22462 | + | 1.09757i | −0.232139 | + | 0.0409324i | −0.288507 | − | 0.957478i | \(-0.593159\pi\) |
0.0563684 | + | 0.998410i | \(0.482048\pi\) | |||||||
\(720\) | 4.83709 | + | 1.25982i | 0.180268 | + | 0.0469506i | ||||
\(721\) | − | 6.37659i | − | 0.237477i | ||||||
\(722\) | −16.5864 | + | 9.26782i | −0.617281 | + | 0.344912i | ||||
\(723\) | 10.2195 | + | 32.0202i | 0.380066 | + | 1.19084i | ||||
\(724\) | −24.1468 | + | 4.25773i | −0.897408 | + | 0.158237i | ||||
\(725\) | 13.0673 | − | 10.9647i | 0.485306 | − | 0.407220i | ||||
\(726\) | 2.54965 | + | 18.8556i | 0.0946265 | + | 0.699795i | ||||
\(727\) | −7.87759 | − | 44.6761i | −0.292164 | − | 1.65694i | −0.678511 | − | 0.734590i | \(-0.737375\pi\) |
0.386348 | − | 0.922353i | \(-0.373737\pi\) | |||||||
\(728\) | −12.6578 | − | 2.23191i | −0.469130 | − | 0.0827202i | ||||
\(729\) | 26.2212 | + | 6.43810i | 0.971155 | + | 0.238448i | ||||
\(730\) | −4.88117 | + | 2.81815i | −0.180660 | + | 0.104304i | ||||
\(731\) | 1.06854 | + | 0.188412i | 0.0395214 | + | 0.00696869i | ||||
\(732\) | 16.4726 | + | 6.75562i | 0.608844 | + | 0.249695i | ||||
\(733\) | −8.81395 | + | 15.2662i | −0.325551 | + | 0.563870i | −0.981624 | − | 0.190827i | \(-0.938883\pi\) |
0.656073 | + | 0.754697i | \(0.272216\pi\) | |||||||
\(734\) | 14.9973 | 0.553560 | ||||||||
\(735\) | −44.1588 | + | 5.97116i | −1.62882 | + | 0.220250i | ||||
\(736\) | 0.910332 | − | 0.160516i | 0.0335553 | − | 0.00591670i | ||||
\(737\) | −0.932550 | − | 0.782503i | −0.0343509 | − | 0.0288239i | ||||
\(738\) | −12.1154 | + | 3.33751i | −0.445972 | + | 0.122855i | ||||
\(739\) | −3.19640 | − | 1.16339i | −0.117581 | − | 0.0427961i | 0.282559 | − | 0.959250i | \(-0.408817\pi\) |
−0.400141 | + | 0.916454i | \(0.631039\pi\) | |||||||
\(740\) | 5.72061 | − | 9.90838i | 0.210294 | − | 0.364239i | ||||
\(741\) | −6.22854 | + | 19.5145i | −0.228811 | + | 0.716883i | ||||
\(742\) | −22.7761 | − | 39.4494i | −0.836138 | − | 1.44823i | ||||
\(743\) | 5.44757 | + | 30.8947i | 0.199852 | + | 1.13342i | 0.905338 | + | 0.424692i | \(0.139618\pi\) |
−0.705486 | + | 0.708724i | \(0.749271\pi\) | |||||||
\(744\) | −0.441391 | + | 10.9937i | −0.0161822 | + | 0.403048i | ||||
\(745\) | −23.3886 | + | 8.51276i | −0.856892 | + | 0.311883i | ||||
\(746\) | 3.47570 | + | 4.14218i | 0.127254 | + | 0.151656i | ||||
\(747\) | −41.4075 | − | 28.5633i | −1.51502 | − | 1.04508i | ||||
\(748\) | 0.204505 | − | 0.354212i | 0.00747743 | − | 0.0129513i | ||||
\(749\) | −54.5771 | −1.99420 | ||||||||
\(750\) | 12.7489 | + | 16.4947i | 0.465525 | + | 0.602300i | ||||
\(751\) | −25.9132 | + | 30.8821i | −0.945586 | + | 1.12690i | 0.0461922 | + | 0.998933i | \(0.485291\pi\) |
−0.991778 | + | 0.127972i | \(0.959153\pi\) | |||||||
\(752\) | 7.24972 | + | 4.18563i | 0.264370 | + | 0.152634i | ||||
\(753\) | −11.1711 | − | 35.0019i | −0.407097 | − | 1.27554i | ||||
\(754\) | 13.3771 | − | 15.9422i | 0.487166 | − | 0.580581i | ||||
\(755\) | 18.4631 | − | 15.4924i | 0.671941 | − | 0.563826i | ||||
\(756\) | −23.9744 | + | 5.58012i | −0.871939 | + | 0.202947i | ||||
\(757\) | 1.45045 | + | 8.22591i | 0.0527175 | + | 0.298976i | 0.999755 | − | 0.0221481i | \(-0.00705054\pi\) |
−0.947037 | + | 0.321124i | \(0.895939\pi\) | |||||||
\(758\) | 14.9966 | + | 17.8723i | 0.544702 | + | 0.649150i | ||||
\(759\) | 0.143424 | + | 0.130502i | 0.00520595 | + | 0.00473691i | ||||
\(760\) | 0.582121 | + | 7.23923i | 0.0211158 | + | 0.262594i | ||||
\(761\) | 9.03885 | − | 5.21858i | 0.327658 | − | 0.189173i | −0.327143 | − | 0.944975i | \(-0.606086\pi\) |
0.654801 | + | 0.755801i | \(0.272752\pi\) | |||||||
\(762\) | 0.964331 | − | 24.0185i | 0.0349340 | − | 0.870100i | ||||
\(763\) | 1.51090 | − | 4.15116i | 0.0546982 | − | 0.150282i | ||||
\(764\) | 4.59201 | − | 5.47255i | 0.166133 | − | 0.197990i | ||||
\(765\) | −4.25451 | + | 16.3353i | −0.153822 | + | 0.590604i | ||||
\(766\) | −0.00125698 | + | 0.00712871i | −4.54167e−5 | + | 0.000257571i | ||||
\(767\) | 0.968233 | − | 0.559010i | 0.0349609 | − | 0.0201847i | ||||
\(768\) | −1.65005 | + | 0.526625i | −0.0595411 | + | 0.0190029i | ||||
\(769\) | −29.2176 | − | 24.5165i | −1.05361 | − | 0.884087i | −0.0601448 | − | 0.998190i | \(-0.519156\pi\) |
−0.993469 | + | 0.114103i | \(0.963601\pi\) | |||||||
\(770\) | −0.732287 | − | 0.614461i | −0.0263898 | − | 0.0221436i | ||||
\(771\) | 16.7336 | − | 5.34064i | 0.602646 | − | 0.192339i | ||||
\(772\) | 8.54891 | − | 4.93572i | 0.307682 | − | 0.177640i | ||||
\(773\) | 7.46918 | − | 42.3598i | 0.268648 | − | 1.52358i | −0.489796 | − | 0.871837i | \(-0.662929\pi\) |
0.758443 | − | 0.651739i | \(-0.225960\pi\) | |||||||
\(774\) | 0.242935 | − | 0.932752i | 0.00873210 | − | 0.0335271i | ||||
\(775\) | −9.08075 | + | 10.8220i | −0.326190 | + | 0.388738i | ||||
\(776\) | 4.81604 | − | 13.2320i | 0.172886 | − | 0.475000i | ||||
\(777\) | −2.26032 | + | 56.2975i | −0.0810884 | + | 2.01966i | ||||
\(778\) | 32.2603 | − | 18.6255i | 1.15659 | − | 0.667755i | ||||
\(779\) | −10.3675 | − | 15.0301i | −0.371455 | − | 0.538508i | ||||
\(780\) | 5.79138 | + | 5.26960i | 0.207365 | + | 0.188682i | ||||
\(781\) | −0.393398 | − | 0.468834i | −0.0140769 | − | 0.0167762i | ||||
\(782\) | 0.542077 | + | 3.07427i | 0.0193846 | + | 0.109936i | ||||
\(783\) | 11.5845 | − | 38.1350i | 0.413995 | − | 1.36283i | ||||
\(784\) | 11.8285 | − | 9.92530i | 0.422447 | − | 0.354475i | ||||
\(785\) | −22.7163 | + | 27.0722i | −0.810779 | + | 0.966249i | ||||
\(786\) | 6.26012 | + | 19.6146i | 0.223291 | + | 0.699628i | ||||
\(787\) | −0.985906 | − | 0.569213i | −0.0351437 | − | 0.0202903i | 0.482325 | − | 0.875992i | \(-0.339792\pi\) |
−0.517469 | + | 0.855702i | \(0.673126\pi\) | |||||||
\(788\) | 5.57271 | − | 6.64130i | 0.198520 | − | 0.236587i | ||||
\(789\) | −3.91175 | − | 5.06106i | −0.139262 | − | 0.180178i | ||||
\(790\) | −0.293678 | −0.0104486 | ||||||||
\(791\) | −0.0250179 | + | 0.0433322i | −0.000889533 | + | 0.00154072i | ||||
\(792\) | −0.299084 | − | 0.206311i | −0.0106275 | − | 0.00733094i | ||||
\(793\) | 17.9272 | + | 21.3648i | 0.636612 | + | 0.758685i | ||||
\(794\) | −33.7228 | + | 12.2741i | −1.19678 | + | 0.435591i | ||||
\(795\) | −1.11325 | + | 27.7277i | −0.0394830 | + | 0.983401i | ||||
\(796\) | −1.34194 | − | 7.61051i | −0.0475637 | − | 0.269747i | ||||
\(797\) | 21.1153 | + | 36.5728i | 0.747944 | + | 1.29548i | 0.948807 | + | 0.315857i | \(0.102292\pi\) |
−0.200863 | + | 0.979619i | \(0.564375\pi\) | |||||||
\(798\) | −19.1102 | − | 30.2314i | −0.676494 | − | 1.07018i | ||||
\(799\) | −14.1352 | + | 24.4829i | −0.500069 | + | 0.866144i | ||||
\(800\) | −2.08981 | − | 0.760630i | −0.0738860 | − | 0.0268923i | ||||
\(801\) | −49.0710 | + | 13.5179i | −1.73384 | + | 0.477633i | ||||
\(802\) | 12.0062 | + | 10.0744i | 0.423953 | + | 0.355739i | ||||
\(803\) | 0.403479 | − | 0.0711442i | 0.0142385 | − | 0.00251062i | ||||
\(804\) | −17.2526 | + | 2.33290i | −0.608451 | + | 0.0822749i | ||||
\(805\) | 7.29600 | 0.257150 | ||||||||
\(806\) | −8.61764 | + | 14.9262i | −0.303544 | + | 0.525753i | ||||
\(807\) | 19.8688 | + | 8.14844i | 0.699415 | + | 0.286839i | ||||
\(808\) | 7.12191 | + | 1.25578i | 0.250548 | + | 0.0441783i | ||||
\(809\) | −25.0480 | + | 14.4615i | −0.880641 | + | 0.508438i | −0.870870 | − | 0.491514i | \(-0.836444\pi\) |
−0.00977142 | + | 0.999952i | \(0.503110\pi\) | |||||||
\(810\) | 14.1616 | + | 4.93065i | 0.497587 | + | 0.173245i | ||||
\(811\) | 27.9738 | + | 4.93253i | 0.982292 | + | 0.173205i | 0.641657 | − | 0.766991i | \(-0.278247\pi\) |
0.340634 | + | 0.940196i | \(0.389358\pi\) | |||||||
\(812\) | 6.30958 | + | 35.7834i | 0.221423 | + | 1.25575i | ||||
\(813\) | −3.34041 | − | 24.7034i | −0.117153 | − | 0.866388i | ||||
\(814\) | −0.637091 | + | 0.534583i | −0.0223300 | + | 0.0187371i | ||||
\(815\) | 23.9527 | − | 4.22352i | 0.839028 | − | 0.147943i | ||||
\(816\) | −1.77846 | − | 5.57237i | −0.0622585 | − | 0.195072i | ||||
\(817\) | 1.39596 | − | 0.112252i | 0.0488386 | − | 0.00392721i | ||||
\(818\) | 28.3270i | 0.990431i | ||||||||
\(819\) | −37.3144 | − | 9.71851i | −1.30387 | − | 0.339592i | ||||
\(820\) | −6.87329 | + | 1.21195i | −0.240026 | + | 0.0423230i | ||||
\(821\) | −3.79911 | − | 10.4380i | −0.132590 | − | 0.364288i | 0.855576 | − | 0.517677i | \(-0.173203\pi\) |
−0.988166 | + | 0.153390i | \(0.950981\pi\) | |||||||
\(822\) | −15.3604 | + | 8.06468i | −0.535755 | + | 0.281288i | ||||
\(823\) | 28.9718 | − | 10.5449i | 1.00989 | − | 0.367571i | 0.216501 | − | 0.976282i | \(-0.430536\pi\) |
0.793391 | + | 0.608712i | \(0.208313\pi\) | |||||||
\(824\) | − | 1.34607i | − | 0.0468925i | ||||||
\(825\) | −0.141845 | − | 0.444436i | −0.00493840 | − | 0.0154733i | ||||
\(826\) | −0.338965 | + | 1.92237i | −0.0117941 | + | 0.0668877i | ||||
\(827\) | −25.9324 | + | 9.43863i | −0.901759 | + | 0.328213i | −0.750957 | − | 0.660351i | \(-0.770408\pi\) |
−0.150802 | + | 0.988564i | \(0.548185\pi\) | |||||||
\(828\) | 2.76081 | − | 0.261055i | 0.0959448 | − | 0.00907230i | ||||
\(829\) | 8.33527 | + | 4.81237i | 0.289496 | + | 0.167141i | 0.637715 | − | 0.770273i | \(-0.279880\pi\) |
−0.348219 | + | 0.937413i | \(0.613213\pi\) | |||||||
\(830\) | −21.4016 | − | 17.9581i | −0.742860 | − | 0.623334i | ||||
\(831\) | 14.9541 | − | 23.6559i | 0.518753 | − | 0.820613i | ||||
\(832\) | −2.67200 | − | 0.471147i | −0.0926351 | − | 0.0163341i | ||||
\(833\) | 33.5186 | + | 39.9459i | 1.16135 | + | 1.38405i | ||||
\(834\) | 2.07456 | + | 3.95131i | 0.0718360 | + | 0.136823i | ||||
\(835\) | 16.3994 | + | 9.46817i | 0.567523 | + | 0.327660i | ||||
\(836\) | 0.140215 | − | 0.508958i | 0.00484945 | − | 0.0176027i | ||||
\(837\) | −3.96399 | + | 32.7688i | −0.137016 | + | 1.13265i | ||||
\(838\) | 0.863196 | − | 2.37161i | 0.0298186 | − | 0.0819260i | ||||
\(839\) | 22.1314 | + | 8.05517i | 0.764061 | + | 0.278095i | 0.694510 | − | 0.719483i | \(-0.255621\pi\) |
0.0695508 | + | 0.997578i | \(0.477843\pi\) | |||||||
\(840\) | −13.5476 | + | 1.83191i | −0.467437 | + | 0.0632069i | ||||
\(841\) | −28.0335 | − | 10.2033i | −0.966671 | − | 0.351840i | ||||
\(842\) | −3.25949 | − | 8.95537i | −0.112329 | − | 0.308622i | ||||
\(843\) | 9.36016 | − | 42.9326i | 0.322381 | − | 1.47868i | ||||
\(844\) | − | 7.48257i | − | 0.257561i | ||||||
\(845\) | −3.21309 | − | 8.82791i | −0.110534 | − | 0.303689i | ||||
\(846\) | 20.6725 | + | 14.2601i | 0.710734 | + | 0.490272i | ||||
\(847\) | −26.0198 | − | 45.0677i | −0.894052 | − | 1.54854i | ||||
\(848\) | −4.80793 | − | 8.32759i | −0.165105 | − | 0.285970i | ||||
\(849\) | 47.5859 | + | 19.5156i | 1.63314 | + | 0.669773i | ||||
\(850\) | 2.56871 | − | 7.05748i | 0.0881061 | − | 0.242070i | ||||
\(851\) | 1.10224 | − | 6.25111i | 0.0377843 | − | 0.214285i | ||||
\(852\) | −8.74552 | − | 0.351128i | −0.299616 | − | 0.0120294i | ||||
\(853\) | 4.94331 | − | 4.14793i | 0.169256 | − | 0.142022i | −0.554225 | − | 0.832367i | \(-0.686985\pi\) |
0.723481 | + | 0.690344i | \(0.242541\pi\) | |||||||
\(854\) | −48.6945 | −1.66629 | ||||||||
\(855\) | −0.000357560 | 21.7878i | −1.22283e−5 | 0.745127i | ||||||
\(856\) | −11.5210 | −0.393778 | ||||||||
\(857\) | 2.07778 | − | 1.74346i | 0.0709754 | − | 0.0595555i | −0.606610 | − | 0.795000i | \(-0.707471\pi\) |
0.677585 | + | 0.735444i | \(0.263026\pi\) | |||||||
\(858\) | −0.264578 | − | 0.503930i | −0.00903256 | − | 0.0172039i | ||||
\(859\) | 0.879921 | − | 4.99028i | 0.0300225 | − | 0.170266i | −0.966110 | − | 0.258131i | \(-0.916893\pi\) |
0.996132 | + | 0.0878651i | \(0.0280044\pi\) | |||||||
\(860\) | 0.183090 | − | 0.503034i | 0.00624330 | − | 0.0171533i | ||||
\(861\) | 27.1941 | − | 21.0186i | 0.926772 | − | 0.716313i | ||||
\(862\) | 13.2687 | + | 22.9821i | 0.451934 | + | 0.782773i | ||||
\(863\) | 5.46752 | + | 9.47002i | 0.186117 | + | 0.322363i | 0.943952 | − | 0.330082i | \(-0.107076\pi\) |
−0.757836 | + | 0.652445i | \(0.773743\pi\) | |||||||
\(864\) | −5.06088 | + | 1.17794i | −0.172174 | + | 0.0400742i | ||||
\(865\) | 12.3868 | + | 34.0324i | 0.421163 | + | 1.15714i | ||||
\(866\) | 1.31469i | 0.0446749i | ||||||||
\(867\) | −9.23248 | + | 2.94661i | −0.313551 | + | 0.100072i | ||||
\(868\) | −10.2921 | − | 28.2774i | −0.349338 | − | 0.959799i | ||||
\(869\) | 0.0200601 | + | 0.00730129i | 0.000680493 | + | 0.000247679i | ||||
\(870\) | 8.39906 | − | 20.4799i | 0.284755 | − | 0.694333i | ||||
\(871\) | −25.6271 | − | 9.32750i | −0.868341 | − | 0.316050i | ||||
\(872\) | 0.318944 | − | 0.876291i | 0.0108008 | − | 0.0296750i | ||||
\(873\) | 17.5840 | − | 38.4098i | 0.595129 | − | 1.29997i | ||||
\(874\) | 1.67714 | + | 3.66363i | 0.0567300 | + | 0.123924i | ||||
\(875\) | −49.3788 | − | 28.5089i | −1.66931 | − | 0.963776i | ||||
\(876\) | 3.13081 | − | 4.95261i | 0.105780 | − | 0.167333i | ||||
\(877\) | 22.7484 | + | 27.1105i | 0.768160 | + | 0.915457i | 0.998334 | − | 0.0576920i | \(-0.0183741\pi\) |
−0.230174 | + | 0.973149i | \(0.573930\pi\) | |||||||
\(878\) | −27.0281 | − | 4.76579i | −0.912156 | − | 0.160838i | ||||
\(879\) | −17.6860 | − | 33.6856i | −0.596533 | − | 1.13619i | ||||
\(880\) | −0.154582 | − | 0.129710i | −0.00521097 | − | 0.00437252i | ||||
\(881\) | 24.4479 | + | 14.1150i | 0.823672 | + | 0.475547i | 0.851681 | − | 0.524061i | \(-0.175583\pi\) |
−0.0280092 | + | 0.999608i | \(0.508917\pi\) | |||||||
\(882\) | 37.7585 | − | 26.8352i | 1.27139 | − | 0.903588i | ||||
\(883\) | −2.24232 | + | 0.816137i | −0.0754600 | + | 0.0274652i | −0.379474 | − | 0.925202i | \(-0.623895\pi\) |
0.304014 | + | 0.952667i | \(0.401673\pi\) | |||||||
\(884\) | 1.59110 | − | 9.02360i | 0.0535146 | − | 0.303496i | ||||
\(885\) | 0.800305 | − | 0.879549i | 0.0269020 | − | 0.0295657i | ||||
\(886\) | − | 26.6541i | − | 0.895460i | ||||||
\(887\) | 48.6814 | − | 17.7186i | 1.63456 | − | 0.594932i | 0.648486 | − | 0.761226i | \(-0.275402\pi\) |
0.986076 | + | 0.166294i | \(0.0531802\pi\) | |||||||
\(888\) | −0.477142 | + | 11.8841i | −0.0160118 | + | 0.398806i | ||||
\(889\) | 22.4858 | + | 61.7793i | 0.754150 | + | 2.07201i | ||||
\(890\) | −27.8390 | + | 4.90876i | −0.933165 | + | 0.164542i | ||||
\(891\) | −0.844743 | − | 0.688873i | −0.0282999 | − | 0.0230781i | ||||
\(892\) | − | 4.46534i | − | 0.149511i | ||||||
\(893\) | −9.69160 | + | 35.1789i | −0.324317 | + | 1.17722i | ||||
\(894\) | 17.4133 | − | 19.1375i | 0.582387 | − | 0.640054i | ||||
\(895\) | −10.0924 | + | 1.77957i | −0.337352 | + | 0.0594843i | ||||
\(896\) | 3.62890 | − | 3.04501i | 0.121233 | − | 0.101727i | ||||
\(897\) | 4.01918 | + | 1.64832i | 0.134197 | + | 0.0550357i | ||||
\(898\) | 2.85413 | + | 16.1866i | 0.0952436 | + | 0.540153i | ||||
\(899\) | 47.9836 | + | 8.46081i | 1.60034 | + | 0.282184i | ||||
\(900\) | −6.06632 | − | 2.77716i | −0.202211 | − | 0.0925721i | ||||
\(901\) | 28.1230 | − | 16.2368i | 0.936913 | − | 0.540927i | ||||
\(902\) | 0.499621 | + | 0.0880966i | 0.0166356 | + | 0.00293330i | ||||
\(903\) | 0.353253 | + | 2.61243i | 0.0117555 | + | 0.0869362i | ||||
\(904\) | −0.00528115 | + | 0.00914723i | −0.000175649 | + | 0.000304232i | ||||
\(905\) | −40.8529 | −1.35800 | ||||||||
\(906\) | −9.50698 | + | 23.1814i | −0.315848 | + | 0.770150i | ||||
\(907\) | 32.3799 | − | 5.70946i | 1.07516 | − | 0.189579i | 0.392085 | − | 0.919929i | \(-0.371754\pi\) |
0.683073 | + | 0.730350i | \(0.260643\pi\) | |||||||
\(908\) | −14.8123 | − | 12.4290i | −0.491564 | − | 0.412471i | ||||
\(909\) | 20.9949 | + | 5.46811i | 0.696358 | + | 0.181366i | ||||
\(910\) | −20.1237 | − | 7.32443i | −0.667094 | − | 0.242803i | ||||
\(911\) | −11.1446 | + | 19.3031i | −0.369238 | + | 0.639539i | −0.989447 | − | 0.144898i | \(-0.953715\pi\) |
0.620208 | + | 0.784437i | \(0.287048\pi\) | |||||||
\(912\) | −4.03407 | − | 6.38171i | −0.133582 | − | 0.211320i | ||||
\(913\) | 1.01540 | + | 1.75873i | 0.0336049 | + | 0.0582054i | ||||
\(914\) | 6.90644 | + | 39.1684i | 0.228445 | + | 1.29557i | ||||
\(915\) | 25.0743 | + | 15.8508i | 0.828932 | + | 0.524012i | ||||
\(916\) | 13.2676 | − | 4.82900i | 0.438373 | − | 0.159555i | ||||
\(917\) | −36.1968 | − | 43.1377i | −1.19532 | − | 1.42453i | ||||
\(918\) | −3.97800 | − | 17.0910i | −0.131294 | − | 0.564088i | ||||
\(919\) | 16.7797 | − | 29.0632i | 0.553510 | − | 0.958707i | −0.444508 | − | 0.895775i | \(-0.646621\pi\) |
0.998018 | − | 0.0629323i | \(-0.0200452\pi\) | |||||||
\(920\) | 1.54015 | 0.0507773 | ||||||||
\(921\) | 11.8114 | − | 28.8003i | 0.389197 | − | 0.949001i | ||||
\(922\) | 7.46570 | − | 8.89727i | 0.245870 | − | 0.293016i | ||||
\(923\) | −11.8738 | − | 6.85536i | −0.390832 | − | 0.225647i | ||||
\(924\) | 0.970932 | + | 0.211683i | 0.0319413 | + | 0.00696384i | ||||
\(925\) | −9.81626 | + | 11.6986i | −0.322757 | + | 0.384646i | ||||
\(926\) | 8.18467 | − | 6.86776i | 0.268965 | − | 0.225688i | ||||
\(927\) | 0.323742 | − | 4.02521i | 0.0106331 | − | 0.132205i | ||||
\(928\) | 1.33192 | + | 7.55371i | 0.0437225 | + | 0.247963i | ||||
\(929\) | 22.3579 | + | 26.6451i | 0.733539 | + | 0.874198i | 0.995871 | − | 0.0907800i | \(-0.0289360\pi\) |
−0.262332 | + | 0.964978i | \(0.584492\pi\) | |||||||
\(930\) | −3.90500 | + | 17.9112i | −0.128050 | + | 0.587331i | ||||
\(931\) | 54.8611 | + | 38.9915i | 1.79800 | + | 1.27790i | ||||
\(932\) | −8.29600 | + | 4.78970i | −0.271744 | + | 0.156892i | ||||
\(933\) | 17.6361 | + | 11.1487i | 0.577381 | + | 0.364993i | ||||
\(934\) | 1.47171 | − | 4.04348i | 0.0481557 | − | 0.132307i | ||||
\(935\) | 0.438042 | − | 0.522038i | 0.0143255 | − | 0.0170725i | ||||
\(936\) | −7.87690 | − | 2.05153i | −0.257464 | − | 0.0670564i | ||||
\(937\) | 6.19937 | − | 35.1584i | 0.202525 | − | 1.14857i | −0.698763 | − | 0.715353i | \(-0.746266\pi\) |
0.901288 | − | 0.433221i | \(-0.142623\pi\) | |||||||
\(938\) | 41.2363 | − | 23.8078i | 1.34641 | − | 0.777352i | ||||
\(939\) | −22.5203 | − | 20.4913i | −0.734923 | − | 0.668709i | ||||
\(940\) | 10.6846 | + | 8.96547i | 0.348494 | + | 0.292421i | ||||
\(941\) | −8.17692 | − | 6.86125i | −0.266560 | − | 0.223670i | 0.499704 | − | 0.866196i | \(-0.333442\pi\) |
−0.766264 | + | 0.642526i | \(0.777887\pi\) | |||||||
\(942\) | 7.82578 | − | 35.8948i | 0.254978 | − | 1.16952i | ||||
\(943\) | −3.35334 | + | 1.93605i | −0.109200 | + | 0.0630465i | ||||
\(944\) | −0.0715540 | + | 0.405803i | −0.00232888 | + | 0.0132078i | ||||
\(945\) | −40.9526 | + | 2.21972i | −1.33219 | + | 0.0722075i | ||||
\(946\) | −0.0250124 | + | 0.0298086i | −0.000813223 | + | 0.000969161i | ||||
\(947\) | −14.4339 | + | 39.6568i | −0.469038 | + | 1.28867i | 0.449479 | + | 0.893291i | \(0.351610\pi\) |
−0.918517 | + | 0.395381i | \(0.870613\pi\) | |||||||
\(948\) | 0.270303 | − | 0.141917i | 0.00877903 | − | 0.00460926i | ||||
\(949\) | 7.94868 | − | 4.58917i | 0.258025 | − | 0.148971i | ||||
\(950\) | 0.912717 | − | 9.65083i | 0.0296125 | − | 0.313114i | ||||
\(951\) | −14.6970 | + | 4.69063i | −0.476581 | + | 0.152104i | ||||
\(952\) | 10.2833 | + | 12.2551i | 0.333283 | + | 0.397191i | ||||
\(953\) | −0.754282 | − | 4.27775i | −0.0244336 | − | 0.138570i | 0.970151 | − | 0.242503i | \(-0.0779684\pi\) |
−0.994584 | + | 0.103933i | \(0.966857\pi\) | |||||||
\(954\) | −12.3745 | − | 26.0587i | −0.400640 | − | 0.843681i | ||||
\(955\) | 9.11811 | − | 7.65100i | 0.295055 | − | 0.247581i | ||||
\(956\) | 9.68217 | − | 11.5388i | 0.313144 | − | 0.373190i | ||||
\(957\) | −1.08287 | + | 1.19009i | −0.0350042 | + | 0.0384703i | ||||
\(958\) | −24.7591 | − | 14.2947i | −0.799930 | − | 0.461840i | ||||
\(959\) | 30.4999 | − | 36.3483i | 0.984892 | − | 1.17375i | ||||
\(960\) | −2.85984 | + | 0.386708i | −0.0923008 | + | 0.0124809i | ||||
\(961\) | −9.35204 | −0.301679 | ||||||||
\(962\) | −9.31564 | + | 16.1352i | −0.300348 | + | 0.520219i | ||||
\(963\) | −34.4516 | − | 2.77090i | −1.11019 | − | 0.0892909i | ||||
\(964\) | −12.4737 | − | 14.8655i | −0.401750 | − | 0.478787i | ||||
\(965\) | 15.4554 | − | 5.62532i | 0.497528 | − | 0.181085i | ||||
\(966\) | −6.71527 | + | 3.52572i | −0.216060 | + | 0.113438i | ||||
\(967\) | −1.56328 | − | 8.86578i | −0.0502716 | − | 0.285104i | 0.949300 | − | 0.314371i | \(-0.101794\pi\) |
−0.999572 | + | 0.0292672i | \(0.990683\pi\) | |||||||
\(968\) | −5.49267 | − | 9.51358i | −0.176541 | − | 0.305778i | ||||
\(969\) | 21.5516 | − | 13.6234i | 0.692337 | − | 0.437647i | ||||
\(970\) | 11.7307 | − | 20.3181i | 0.376650 | − | 0.652376i | ||||
\(971\) | −27.2016 | − | 9.90057i | −0.872941 | − | 0.317725i | −0.133583 | − | 0.991038i | \(-0.542648\pi\) |
−0.739358 | + | 0.673313i | \(0.764871\pi\) | |||||||
\(972\) | −15.4171 | + | 2.30525i | −0.494503 | + | 0.0739410i | ||||
\(973\) | −9.35023 | − | 7.84577i | −0.299755 | − | 0.251524i | ||||
\(974\) | −9.72954 | + | 1.71558i | −0.311755 | + | 0.0549707i | ||||
\(975\) | −6.39134 | − | 8.26917i | −0.204687 | − | 0.264826i | ||||
\(976\) | −10.2792 | −0.329028 | ||||||||
\(977\) | 10.2409 | − | 17.7377i | 0.327635 | − | 0.567480i | −0.654407 | − | 0.756142i | \(-0.727082\pi\) |
0.982042 | + | 0.188662i | \(0.0604152\pi\) | |||||||
\(978\) | −20.0052 | + | 15.4623i | −0.639697 | + | 0.494429i | ||||
\(979\) | 2.02362 | + | 0.356819i | 0.0646752 | + | 0.0114040i | ||||
\(980\) | 22.2803 | − | 12.8636i | 0.711720 | − | 0.410911i | ||||
\(981\) | 1.16451 | − | 2.54370i | 0.0371799 | − | 0.0812142i | ||||
\(982\) | −29.6502 | − | 5.22814i | −0.946177 | − | 0.166837i | ||||
\(983\) | 2.58868 | + | 14.6811i | 0.0825661 | + | 0.468256i | 0.997855 | + | 0.0654583i | \(0.0208509\pi\) |
−0.915289 | + | 0.402797i | \(0.868038\pi\) | |||||||
\(984\) | 5.74055 | − | 4.43693i | 0.183002 | − | 0.141444i | ||||
\(985\) | 11.0654 | − | 9.28500i | 0.352574 | − | 0.295845i | ||||
\(986\) | −25.5096 | + | 4.49802i | −0.812390 | + | 0.143246i | ||||
\(987\) | −67.1102 | − | 14.6314i | −2.13614 | − | 0.465721i | ||||
\(988\) | −0.947947 | − | 11.7886i | −0.0301582 | − | 0.375046i | ||||
\(989\) | − | 0.296992i | − | 0.00944381i | ||||||
\(990\) | −0.431058 | − | 0.425056i | −0.0136999 | − | 0.0135092i | ||||
\(991\) | −6.02840 | + | 1.06297i | −0.191498 | + | 0.0337663i | −0.268575 | − | 0.963259i | \(-0.586553\pi\) |
0.0770763 | + | 0.997025i | \(0.475441\pi\) | |||||||
\(992\) | −2.17262 | − | 5.96923i | −0.0689809 | − | 0.189523i | ||||
\(993\) | −14.4480 | − | 9.13334i | −0.458493 | − | 0.289838i | ||||
\(994\) | 22.4948 | − | 8.18743i | 0.713491 | − | 0.259690i | ||||
\(995\) | − | 12.8759i | − | 0.408193i | ||||||
\(996\) | 28.3762 | + | 6.18657i | 0.899134 | + | 0.196029i | ||||
\(997\) | 1.57499 | − | 8.93221i | 0.0498804 | − | 0.282886i | −0.949657 | − | 0.313291i | \(-0.898569\pi\) |
0.999538 | + | 0.0304049i | \(0.00967966\pi\) | |||||||
\(998\) | 19.8793 | − | 7.23546i | 0.629267 | − | 0.229035i | ||||
\(999\) | −4.28506 | + | 35.4229i | −0.135573 | + | 1.12073i |
(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 | 342.2.x.c.281.3 | yes | 60 | |
9.5 | odd | 6 | 342.2.bf.c.167.3 | yes | 60 | ||
19.14 | odd | 18 | 342.2.bf.c.299.3 | yes | 60 | ||
171.14 | even | 18 | inner | 342.2.x.c.185.3 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
342.2.x.c.185.3 | ✓ | 60 | 171.14 | even | 18 | inner | |
342.2.x.c.281.3 | yes | 60 | 1.1 | even | 1 | trivial | |
342.2.bf.c.167.3 | yes | 60 | 9.5 | odd | 6 | ||
342.2.bf.c.299.3 | yes | 60 | 19.14 | odd | 18 |