Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(391,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.391");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 980 = 2^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 980.g (of order \(2\), degree \(1\), 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: | \(7.82533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 391.16 | ||
Character | \(\chi\) | \(=\) | 980.391 |
Dual form | 980.2.g.a.391.14 |
$q$-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 \(\left(\mathbb{Z}/980\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) | \(491\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.431404 | + | 1.34681i | −0.305049 | + | 0.952337i | ||||
\(3\) | 2.73718 | 1.58031 | 0.790157 | − | 0.612905i | \(-0.209999\pi\) | ||||
0.790157 | + | 0.612905i | \(0.209999\pi\) | |||||||
\(4\) | −1.62778 | − | 1.16204i | −0.813891 | − | 0.581018i | ||||
\(5\) | − | 1.00000i | − | 0.447214i | ||||||
\(6\) | −1.18083 | + | 3.68646i | −0.482073 | + | 1.50499i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.26727 | − | 1.69100i | 0.801601 | − | 0.597859i | ||||
\(9\) | 4.49217 | 1.49739 | ||||||||
\(10\) | 1.34681 | + | 0.431404i | 0.425898 | + | 0.136422i | ||||
\(11\) | 0.100243i | 0.0302244i | 0.999886 | + | 0.0151122i | \(0.00481055\pi\) | ||||
−0.999886 | + | 0.0151122i | \(0.995189\pi\) | |||||||
\(12\) | −4.45553 | − | 3.18071i | −1.28620 | − | 0.918191i | ||||
\(13\) | − | 4.11735i | − | 1.14195i | −0.820968 | − | 0.570974i | \(-0.806566\pi\) | ||
0.820968 | − | 0.570974i | \(-0.193434\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 2.73718i | − | 0.706738i | ||||||
\(16\) | 1.29934 | + | 3.78308i | 0.324836 | + | 0.945770i | ||||
\(17\) | − | 5.39735i | − | 1.30905i | −0.756041 | − | 0.654525i | \(-0.772869\pi\) | ||
0.756041 | − | 0.654525i | \(-0.227131\pi\) | |||||||
\(18\) | −1.93794 | + | 6.05009i | −0.456777 | + | 1.42602i | ||||
\(19\) | 7.45934 | 1.71129 | 0.855645 | − | 0.517564i | \(-0.173161\pi\) | ||||
0.855645 | + | 0.517564i | \(0.173161\pi\) | |||||||
\(20\) | −1.16204 | + | 1.62778i | −0.259839 | + | 0.363983i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.135008 | − | 0.0432453i | −0.0287838 | − | 0.00921993i | ||||
\(23\) | − | 1.50830i | − | 0.314503i | −0.987559 | − | 0.157251i | \(-0.949737\pi\) | ||
0.987559 | − | 0.157251i | \(-0.0502633\pi\) | |||||||
\(24\) | 6.20593 | − | 4.62858i | 1.26678 | − | 0.944804i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 5.54528 | + | 1.77624i | 1.08752 | + | 0.348350i | ||||
\(27\) | 4.08434 | 0.786032 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.37688 | −0.441376 | −0.220688 | − | 0.975344i | \(-0.570830\pi\) | ||||
−0.220688 | + | 0.975344i | \(0.570830\pi\) | |||||||
\(30\) | 3.68646 | + | 1.18083i | 0.673052 | + | 0.215589i | ||||
\(31\) | −5.44258 | −0.977516 | −0.488758 | − | 0.872419i | \(-0.662550\pi\) | ||||
−0.488758 | + | 0.872419i | \(0.662550\pi\) | |||||||
\(32\) | −5.65562 | + | 0.117927i | −0.999783 | + | 0.0208468i | ||||
\(33\) | 0.274384i | 0.0477641i | ||||||||
\(34\) | 7.26919 | + | 2.32844i | 1.24666 | + | 0.399324i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −7.31227 | − | 5.22007i | −1.21871 | − | 0.870011i | ||||
\(37\) | 1.03852 | 0.170732 | 0.0853659 | − | 0.996350i | \(-0.472794\pi\) | ||||
0.0853659 | + | 0.996350i | \(0.472794\pi\) | |||||||
\(38\) | −3.21799 | + | 10.0463i | −0.522027 | + | 1.62972i | ||||
\(39\) | − | 11.2700i | − | 1.80464i | ||||||
\(40\) | −1.69100 | − | 2.26727i | −0.267371 | − | 0.358487i | ||||
\(41\) | 7.99125i | 1.24802i | 0.781415 | + | 0.624012i | \(0.214498\pi\) | ||||
−0.781415 | + | 0.624012i | \(0.785502\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.04778i | 1.07478i | 0.843335 | + | 0.537388i | \(0.180589\pi\) | ||||
−0.843335 | + | 0.537388i | \(0.819411\pi\) | |||||||
\(44\) | 0.116486 | − | 0.163174i | 0.0175609 | − | 0.0245994i | ||||
\(45\) | − | 4.49217i | − | 0.669653i | ||||||
\(46\) | 2.03139 | + | 0.650688i | 0.299513 | + | 0.0959387i | ||||
\(47\) | 4.44376 | 0.648189 | 0.324095 | − | 0.946025i | \(-0.394940\pi\) | ||||
0.324095 | + | 0.946025i | \(0.394940\pi\) | |||||||
\(48\) | 3.55654 | + | 10.3550i | 0.513342 | + | 1.49461i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0.431404 | − | 1.34681i | 0.0610097 | − | 0.190467i | ||||
\(51\) | − | 14.7735i | − | 2.06871i | ||||||
\(52\) | −4.78452 | + | 6.70215i | −0.663493 | + | 0.929421i | ||||
\(53\) | 6.14261 | 0.843753 | 0.421876 | − | 0.906653i | \(-0.361372\pi\) | ||||
0.421876 | + | 0.906653i | \(0.361372\pi\) | |||||||
\(54\) | −1.76200 | + | 5.50082i | −0.239778 | + | 0.748567i | ||||
\(55\) | 0.100243 | 0.0135168 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 20.4176 | 2.70437 | ||||||||
\(58\) | 1.02540 | − | 3.20120i | 0.134641 | − | 0.420339i | ||||
\(59\) | 8.52297 | 1.10960 | 0.554798 | − | 0.831985i | \(-0.312796\pi\) | ||||
0.554798 | + | 0.831985i | \(0.312796\pi\) | |||||||
\(60\) | −3.18071 | + | 4.45553i | −0.410627 | + | 0.575207i | ||||
\(61\) | 7.90286i | 1.01186i | 0.862575 | + | 0.505929i | \(0.168850\pi\) | ||||
−0.862575 | + | 0.505929i | \(0.831150\pi\) | |||||||
\(62\) | 2.34795 | − | 7.33010i | 0.298190 | − | 0.930924i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.28103 | − | 7.66791i | 0.285129 | − | 0.958489i | ||||
\(65\) | −4.11735 | −0.510695 | ||||||||
\(66\) | −0.369542 | − | 0.118370i | −0.0454875 | − | 0.0145704i | ||||
\(67\) | − | 0.109800i | − | 0.0134142i | −0.999978 | − | 0.00670710i | \(-0.997865\pi\) | ||
0.999978 | − | 0.00670710i | \(-0.00213495\pi\) | |||||||
\(68\) | −6.27192 | + | 8.78570i | −0.760582 | + | 1.06542i | ||||
\(69\) | − | 4.12850i | − | 0.497013i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 6.73221i | − | 0.798967i | −0.916740 | − | 0.399483i | \(-0.869190\pi\) | ||
0.916740 | − | 0.399483i | \(-0.130810\pi\) | |||||||
\(72\) | 10.1850 | − | 7.59626i | 1.20031 | − | 0.895228i | ||||
\(73\) | 6.14698i | 0.719450i | 0.933058 | + | 0.359725i | \(0.117129\pi\) | ||||
−0.933058 | + | 0.359725i | \(0.882871\pi\) | |||||||
\(74\) | −0.448022 | + | 1.39869i | −0.0520815 | + | 0.162594i | ||||
\(75\) | −2.73718 | −0.316063 | ||||||||
\(76\) | −12.1422 | − | 8.66802i | −1.39280 | − | 0.994290i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 15.1785 | + | 4.86190i | 1.71862 | + | 0.550502i | ||||
\(79\) | − | 4.27445i | − | 0.480914i | −0.970660 | − | 0.240457i | \(-0.922703\pi\) | ||
0.970660 | − | 0.240457i | \(-0.0772972\pi\) | |||||||
\(80\) | 3.78308 | − | 1.29934i | 0.422961 | − | 0.145271i | ||||
\(81\) | −2.29692 | −0.255213 | ||||||||
\(82\) | −10.7627 | − | 3.44746i | −1.18854 | − | 0.380708i | ||||
\(83\) | 6.50159 | 0.713642 | 0.356821 | − | 0.934173i | \(-0.383861\pi\) | ||||
0.356821 | + | 0.934173i | \(0.383861\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.39735 | −0.585425 | ||||||||
\(86\) | −9.49200 | − | 3.04044i | −1.02355 | − | 0.327859i | ||||
\(87\) | −6.50596 | −0.697512 | ||||||||
\(88\) | 0.169511 | + | 0.227278i | 0.0180700 | + | 0.0242279i | ||||
\(89\) | − | 3.19179i | − | 0.338329i | −0.985588 | − | 0.169164i | \(-0.945893\pi\) | ||
0.985588 | − | 0.169164i | \(-0.0541068\pi\) | |||||||
\(90\) | 6.05009 | + | 1.93794i | 0.637735 | + | 0.204277i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −1.75270 | + | 2.45519i | −0.182732 | + | 0.255971i | ||||
\(93\) | −14.8973 | −1.54478 | ||||||||
\(94\) | −1.91706 | + | 5.98489i | −0.197729 | + | 0.617294i | ||||
\(95\) | − | 7.45934i | − | 0.765312i | ||||||
\(96\) | −15.4805 | + | 0.322788i | −1.57997 | + | 0.0329444i | ||||
\(97\) | 11.0691i | 1.12390i | 0.827173 | + | 0.561948i | \(0.189948\pi\) | ||||
−0.827173 | + | 0.561948i | \(0.810052\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.450309i | 0.0452578i | ||||||||
\(100\) | 1.62778 | + | 1.16204i | 0.162778 | + | 0.116204i | ||||
\(101\) | 7.16390i | 0.712835i | 0.934327 | + | 0.356418i | \(0.116002\pi\) | ||||
−0.934327 | + | 0.356418i | \(0.883998\pi\) | |||||||
\(102\) | 19.8971 | + | 6.37336i | 1.97011 | + | 0.631057i | ||||
\(103\) | 4.88608 | 0.481440 | 0.240720 | − | 0.970595i | \(-0.422617\pi\) | ||||
0.240720 | + | 0.970595i | \(0.422617\pi\) | |||||||
\(104\) | −6.96245 | − | 9.33516i | −0.682724 | − | 0.915388i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.64995 | + | 8.27292i | −0.257386 | + | 0.803537i | ||||
\(107\) | − | 7.56872i | − | 0.731695i | −0.930675 | − | 0.365848i | \(-0.880779\pi\) | ||
0.930675 | − | 0.365848i | \(-0.119221\pi\) | |||||||
\(108\) | −6.64842 | − | 4.74615i | −0.639744 | − | 0.456699i | ||||
\(109\) | −18.0532 | −1.72919 | −0.864593 | − | 0.502472i | \(-0.832424\pi\) | ||||
−0.864593 | + | 0.502472i | \(0.832424\pi\) | |||||||
\(110\) | −0.0432453 | + | 0.135008i | −0.00412328 | + | 0.0128725i | ||||
\(111\) | 2.84262 | 0.269810 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −18.1432 | −1.70677 | −0.853384 | − | 0.521283i | \(-0.825453\pi\) | ||||
−0.853384 | + | 0.521283i | \(0.825453\pi\) | |||||||
\(114\) | −8.80822 | + | 27.4985i | −0.824966 | + | 2.57547i | ||||
\(115\) | −1.50830 | −0.140650 | ||||||||
\(116\) | 3.86904 | + | 2.76202i | 0.359232 | + | 0.256447i | ||||
\(117\) | − | 18.4959i | − | 1.70994i | ||||||
\(118\) | −3.67684 | + | 11.4788i | −0.338481 | + | 1.05671i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −4.62858 | − | 6.20593i | −0.422529 | − | 0.566522i | ||||
\(121\) | 10.9900 | 0.999086 | ||||||||
\(122\) | −10.6436 | − | 3.40933i | −0.963629 | − | 0.308666i | ||||
\(123\) | 21.8735i | 1.97227i | ||||||||
\(124\) | 8.85932 | + | 6.32447i | 0.795591 | + | 0.567954i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.37573i | 0.388283i | 0.980974 | + | 0.194141i | \(0.0621921\pi\) | ||||
−0.980974 | + | 0.194141i | \(0.937808\pi\) | |||||||
\(128\) | 9.34315 | + | 6.38008i | 0.825826 | + | 0.563925i | ||||
\(129\) | 19.2911i | 1.69848i | ||||||||
\(130\) | 1.77624 | − | 5.54528i | 0.155787 | − | 0.486354i | ||||
\(131\) | −2.98145 | −0.260491 | −0.130245 | − | 0.991482i | \(-0.541577\pi\) | ||||
−0.130245 | + | 0.991482i | \(0.541577\pi\) | |||||||
\(132\) | 0.318844 | − | 0.446637i | 0.0277518 | − | 0.0388747i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0.147879 | + | 0.0473681i | 0.0127748 | + | 0.00409198i | ||||
\(135\) | − | 4.08434i | − | 0.351524i | ||||||
\(136\) | −9.12692 | − | 12.2373i | −0.782627 | − | 1.04934i | ||||
\(137\) | −1.52475 | −0.130268 | −0.0651342 | − | 0.997877i | \(-0.520748\pi\) | ||||
−0.0651342 | + | 0.997877i | \(0.520748\pi\) | |||||||
\(138\) | 5.56029 | + | 1.78105i | 0.473324 | + | 0.151613i | ||||
\(139\) | −7.16082 | −0.607373 | −0.303686 | − | 0.952772i | \(-0.598217\pi\) | ||||
−0.303686 | + | 0.952772i | \(0.598217\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.1634 | 1.02434 | ||||||||
\(142\) | 9.06700 | + | 2.90430i | 0.760885 | + | 0.243724i | ||||
\(143\) | 0.412736 | 0.0345148 | ||||||||
\(144\) | 5.83687 | + | 16.9942i | 0.486406 | + | 1.41619i | ||||
\(145\) | 2.37688i | 0.197389i | ||||||||
\(146\) | −8.27880 | − | 2.65183i | −0.685158 | − | 0.219467i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.69048 | − | 1.20680i | −0.138957 | − | 0.0991983i | ||||
\(149\) | −21.0473 | −1.72426 | −0.862129 | − | 0.506688i | \(-0.830870\pi\) | ||||
−0.862129 | + | 0.506688i | \(0.830870\pi\) | |||||||
\(150\) | 1.18083 | − | 3.68646i | 0.0964145 | − | 0.300998i | ||||
\(151\) | − | 3.82299i | − | 0.311111i | −0.987827 | − | 0.155555i | \(-0.950283\pi\) | ||
0.987827 | − | 0.155555i | \(-0.0497167\pi\) | |||||||
\(152\) | 16.9123 | − | 12.6137i | 1.37177 | − | 1.02311i | ||||
\(153\) | − | 24.2458i | − | 1.96016i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.44258i | 0.437158i | ||||||||
\(156\) | −13.0961 | + | 18.3450i | −1.04853 | + | 1.46878i | ||||
\(157\) | 1.28413i | 0.102485i | 0.998686 | + | 0.0512423i | \(0.0163181\pi\) | ||||
−0.998686 | + | 0.0512423i | \(0.983682\pi\) | |||||||
\(158\) | 5.75687 | + | 1.84402i | 0.457992 | + | 0.146702i | ||||
\(159\) | 16.8135 | 1.33339 | ||||||||
\(160\) | 0.117927 | + | 5.65562i | 0.00932296 | + | 0.447116i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0.990900 | − | 3.09351i | 0.0778525 | − | 0.243049i | ||||
\(163\) | 8.60108i | 0.673689i | 0.941560 | + | 0.336844i | \(0.109360\pi\) | ||||
−0.941560 | + | 0.336844i | \(0.890640\pi\) | |||||||
\(164\) | 9.28612 | − | 13.0080i | 0.725124 | − | 1.01575i | ||||
\(165\) | 0.274384 | 0.0213607 | ||||||||
\(166\) | −2.80481 | + | 8.75639i | −0.217696 | + | 0.679627i | ||||
\(167\) | 8.10448 | 0.627144 | 0.313572 | − | 0.949565i | \(-0.398474\pi\) | ||||
0.313572 | + | 0.949565i | \(0.398474\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.95261 | −0.304047 | ||||||||
\(170\) | 2.32844 | − | 7.26919i | 0.178583 | − | 0.557522i | ||||
\(171\) | 33.5086 | 2.56247 | ||||||||
\(172\) | 8.18977 | − | 11.4722i | 0.624464 | − | 0.874750i | ||||
\(173\) | − | 8.03376i | − | 0.610795i | −0.952225 | − | 0.305398i | \(-0.901211\pi\) | ||
0.952225 | − | 0.305398i | \(-0.0987894\pi\) | |||||||
\(174\) | 2.80670 | − | 8.76228i | 0.212775 | − | 0.664267i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.379228 | + | 0.130250i | −0.0285854 | + | 0.00981797i | ||||
\(177\) | 23.3289 | 1.75351 | ||||||||
\(178\) | 4.29872 | + | 1.37695i | 0.322203 | + | 0.103207i | ||||
\(179\) | − | 8.84857i | − | 0.661373i | −0.943741 | − | 0.330687i | \(-0.892720\pi\) | ||
0.943741 | − | 0.330687i | \(-0.107280\pi\) | |||||||
\(180\) | −5.22007 | + | 7.31227i | −0.389081 | + | 0.545024i | ||||
\(181\) | 21.3610i | 1.58775i | 0.608082 | + | 0.793874i | \(0.291939\pi\) | ||||
−0.608082 | + | 0.793874i | \(0.708061\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 21.6316i | 1.59905i | ||||||||
\(184\) | −2.55054 | − | 3.41973i | −0.188028 | − | 0.252106i | ||||
\(185\) | − | 1.03852i | − | 0.0763536i | ||||||
\(186\) | 6.42677 | − | 20.0638i | 0.471234 | − | 1.47115i | ||||
\(187\) | 0.541047 | 0.0395653 | ||||||||
\(188\) | −7.23347 | − | 5.16381i | −0.527555 | − | 0.376610i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 10.0463 | + | 3.21799i | 0.728835 | + | 0.233457i | ||||
\(191\) | 25.0235i | 1.81063i | 0.424736 | + | 0.905317i | \(0.360367\pi\) | ||||
−0.424736 | + | 0.905317i | \(0.639633\pi\) | |||||||
\(192\) | 6.24361 | − | 20.9885i | 0.450594 | − | 1.51471i | ||||
\(193\) | 8.16157 | 0.587483 | 0.293741 | − | 0.955885i | \(-0.405100\pi\) | ||||
0.293741 | + | 0.955885i | \(0.405100\pi\) | |||||||
\(194\) | −14.9079 | − | 4.77525i | −1.07033 | − | 0.342843i | ||||
\(195\) | −11.2700 | −0.807058 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −12.4517 | −0.887149 | −0.443574 | − | 0.896238i | \(-0.646290\pi\) | ||||
−0.443574 | + | 0.896238i | \(0.646290\pi\) | |||||||
\(198\) | −0.606480 | − | 0.194265i | −0.0431006 | − | 0.0138058i | ||||
\(199\) | −23.1734 | −1.64272 | −0.821358 | − | 0.570413i | \(-0.806783\pi\) | ||||
−0.821358 | + | 0.570413i | \(0.806783\pi\) | |||||||
\(200\) | −2.26727 | + | 1.69100i | −0.160320 | + | 0.119572i | ||||
\(201\) | − | 0.300542i | − | 0.0211986i | ||||||
\(202\) | −9.64840 | − | 3.09054i | −0.678859 | − | 0.217449i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −17.1674 | + | 24.0481i | −1.20196 | + | 1.68370i | ||||
\(205\) | 7.99125 | 0.558133 | ||||||||
\(206\) | −2.10787 | + | 6.58061i | −0.146863 | + | 0.458493i | ||||
\(207\) | − | 6.77555i | − | 0.470933i | ||||||
\(208\) | 15.5763 | − | 5.34985i | 1.08002 | − | 0.370946i | ||||
\(209\) | 0.747747i | 0.0517228i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.9759i | 0.755613i | 0.925885 | + | 0.377807i | \(0.123322\pi\) | ||||
−0.925885 | + | 0.377807i | \(0.876678\pi\) | |||||||
\(212\) | −9.99883 | − | 7.13794i | −0.686722 | − | 0.490236i | ||||
\(213\) | − | 18.4273i | − | 1.26262i | ||||||
\(214\) | 10.1936 | + | 3.26518i | 0.696820 | + | 0.223203i | ||||
\(215\) | 7.04778 | 0.480654 | ||||||||
\(216\) | 9.26031 | − | 6.90663i | 0.630084 | − | 0.469936i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 7.78824 | − | 24.3142i | 0.527486 | − | 1.64677i | ||||
\(219\) | 16.8254i | 1.13696i | ||||||||
\(220\) | −0.163174 | − | 0.116486i | −0.0110012 | − | 0.00785350i | ||||
\(221\) | −22.2228 | −1.49487 | ||||||||
\(222\) | −1.22632 | + | 3.82846i | −0.0823051 | + | 0.256950i | ||||
\(223\) | −14.9798 | −1.00312 | −0.501559 | − | 0.865123i | \(-0.667240\pi\) | ||||
−0.501559 | + | 0.865123i | \(0.667240\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.49217 | −0.299478 | ||||||||
\(226\) | 7.82704 | − | 24.4354i | 0.520647 | − | 1.62542i | ||||
\(227\) | −1.50742 | −0.100051 | −0.0500254 | − | 0.998748i | \(-0.515930\pi\) | ||||
−0.0500254 | + | 0.998748i | \(0.515930\pi\) | |||||||
\(228\) | −33.2353 | − | 23.7260i | −2.20106 | − | 1.57129i | ||||
\(229\) | 8.52548i | 0.563380i | 0.959505 | + | 0.281690i | \(0.0908949\pi\) | ||||
−0.959505 | + | 0.281690i | \(0.909105\pi\) | |||||||
\(230\) | 0.650688 | − | 2.03139i | 0.0429051 | − | 0.133946i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.38904 | + | 4.01931i | −0.353808 | + | 0.263881i | ||||
\(233\) | −21.2233 | −1.39039 | −0.695193 | − | 0.718823i | \(-0.744681\pi\) | ||||
−0.695193 | + | 0.718823i | \(0.744681\pi\) | |||||||
\(234\) | 24.9104 | + | 7.97919i | 1.62844 | + | 0.521616i | ||||
\(235\) | − | 4.44376i | − | 0.289879i | ||||||
\(236\) | −13.8735 | − | 9.90400i | −0.903090 | − | 0.644696i | ||||
\(237\) | − | 11.7000i | − | 0.759994i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 10.1532i | − | 0.656754i | −0.944547 | − | 0.328377i | \(-0.893498\pi\) | ||
0.944547 | − | 0.328377i | \(-0.106502\pi\) | |||||||
\(240\) | 10.3550 | − | 3.55654i | 0.668412 | − | 0.229574i | ||||
\(241\) | − | 19.0508i | − | 1.22717i | −0.789629 | − | 0.613584i | \(-0.789727\pi\) | ||
0.789629 | − | 0.613584i | \(-0.210273\pi\) | |||||||
\(242\) | −4.74111 | + | 14.8013i | −0.304770 | + | 0.951467i | ||||
\(243\) | −18.5401 | −1.18935 | ||||||||
\(244\) | 9.18342 | − | 12.8641i | 0.587908 | − | 0.823542i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −29.4594 | − | 9.43632i | −1.87826 | − | 0.601638i | ||||
\(247\) | − | 30.7127i | − | 1.95420i | ||||||
\(248\) | −12.3398 | + | 9.20340i | −0.783578 | + | 0.584417i | ||||
\(249\) | 17.7960 | 1.12778 | ||||||||
\(250\) | −1.34681 | − | 0.431404i | −0.0851796 | − | 0.0272844i | ||||
\(251\) | 9.46184 | 0.597226 | 0.298613 | − | 0.954374i | \(-0.403476\pi\) | ||||
0.298613 | + | 0.954374i | \(0.403476\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.151197 | 0.00950567 | ||||||||
\(254\) | −5.89326 | − | 1.88771i | −0.369776 | − | 0.118445i | ||||
\(255\) | −14.7735 | −0.925155 | ||||||||
\(256\) | −12.6234 | + | 9.83104i | −0.788964 | + | 0.614440i | ||||
\(257\) | 2.74541i | 0.171254i | 0.996327 | + | 0.0856270i | \(0.0272893\pi\) | ||||
−0.996327 | + | 0.0856270i | \(0.972711\pi\) | |||||||
\(258\) | −25.9813 | − | 8.32224i | −1.61753 | − | 0.518120i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 6.70215 | + | 4.78452i | 0.415650 | + | 0.296723i | ||||
\(261\) | −10.6774 | −0.660912 | ||||||||
\(262\) | 1.28621 | − | 4.01544i | 0.0794624 | − | 0.248075i | ||||
\(263\) | − | 25.6767i | − | 1.58330i | −0.610978 | − | 0.791648i | \(-0.709223\pi\) | ||
0.610978 | − | 0.791648i | \(-0.290777\pi\) | |||||||
\(264\) | 0.463983 | + | 0.622102i | 0.0285562 | + | 0.0382877i | ||||
\(265\) | − | 6.14261i | − | 0.377338i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 8.73650i | − | 0.534665i | ||||||
\(268\) | −0.127592 | + | 0.178730i | −0.00779389 | + | 0.0109177i | ||||
\(269\) | − | 8.19999i | − | 0.499962i | −0.968251 | − | 0.249981i | \(-0.919576\pi\) | ||
0.968251 | − | 0.249981i | \(-0.0804244\pi\) | |||||||
\(270\) | 5.50082 | + | 1.76200i | 0.334769 | + | 0.107232i | ||||
\(271\) | 6.40727 | 0.389214 | 0.194607 | − | 0.980881i | \(-0.437657\pi\) | ||||
0.194607 | + | 0.980881i | \(0.437657\pi\) | |||||||
\(272\) | 20.4186 | − | 7.01301i | 1.23806 | − | 0.425226i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.657785 | − | 2.05355i | 0.0397382 | − | 0.124059i | ||||
\(275\) | − | 0.100243i | − | 0.00604489i | ||||||
\(276\) | −4.79747 | + | 6.72029i | −0.288774 | + | 0.404514i | ||||
\(277\) | 15.9691 | 0.959492 | 0.479746 | − | 0.877407i | \(-0.340729\pi\) | ||||
0.479746 | + | 0.877407i | \(0.340729\pi\) | |||||||
\(278\) | 3.08921 | − | 9.64424i | 0.185278 | − | 0.578423i | ||||
\(279\) | −24.4490 | −1.46372 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.68409 | −0.577704 | −0.288852 | − | 0.957374i | \(-0.593274\pi\) | ||||
−0.288852 | + | 0.957374i | \(0.593274\pi\) | |||||||
\(282\) | −5.24733 | + | 16.3817i | −0.312474 | + | 0.975518i | ||||
\(283\) | 26.1267 | 1.55307 | 0.776535 | − | 0.630074i | \(-0.216975\pi\) | ||||
0.776535 | + | 0.630074i | \(0.216975\pi\) | |||||||
\(284\) | −7.82308 | + | 10.9586i | −0.464214 | + | 0.650271i | ||||
\(285\) | − | 20.4176i | − | 1.20943i | ||||||
\(286\) | −0.178056 | + | 0.555877i | −0.0105287 | + | 0.0328697i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −25.4060 | + | 0.529749i | −1.49706 | + | 0.0312158i | ||||
\(289\) | −12.1314 | −0.713611 | ||||||||
\(290\) | −3.20120 | − | 1.02540i | −0.187981 | − | 0.0602134i | ||||
\(291\) | 30.2981i | 1.77611i | ||||||||
\(292\) | 7.14302 | − | 10.0059i | 0.418013 | − | 0.585553i | ||||
\(293\) | − | 16.2389i | − | 0.948684i | −0.880341 | − | 0.474342i | \(-0.842686\pi\) | ||
0.880341 | − | 0.474342i | \(-0.157314\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 8.52297i | − | 0.496226i | ||||||
\(296\) | 2.35461 | − | 1.75614i | 0.136859 | − | 0.102074i | ||||
\(297\) | 0.409427i | 0.0237574i | ||||||||
\(298\) | 9.07987 | − | 28.3466i | 0.525983 | − | 1.64207i | ||||
\(299\) | −6.21022 | −0.359146 | ||||||||
\(300\) | 4.45553 | + | 3.18071i | 0.257240 | + | 0.183638i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 5.14883 | + | 1.64925i | 0.296282 | + | 0.0949039i | ||||
\(303\) | 19.6089i | 1.12650i | ||||||||
\(304\) | 9.69223 | + | 28.2193i | 0.555888 | + | 1.61849i | ||||
\(305\) | 7.90286 | 0.452517 | ||||||||
\(306\) | 32.6544 | + | 10.4597i | 1.86673 | + | 0.597944i | ||||
\(307\) | 23.5437 | 1.34371 | 0.671854 | − | 0.740684i | \(-0.265498\pi\) | ||||
0.671854 | + | 0.740684i | \(0.265498\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 13.3741 | 0.760825 | ||||||||
\(310\) | −7.33010 | − | 2.34795i | −0.416322 | − | 0.133355i | ||||
\(311\) | −5.39546 | −0.305949 | −0.152974 | − | 0.988230i | \(-0.548885\pi\) | ||||
−0.152974 | + | 0.988230i | \(0.548885\pi\) | |||||||
\(312\) | −19.0575 | − | 25.5520i | −1.07892 | − | 1.44660i | ||||
\(313\) | 32.5614i | 1.84048i | 0.391355 | + | 0.920240i | \(0.372007\pi\) | ||||
−0.391355 | + | 0.920240i | \(0.627993\pi\) | |||||||
\(314\) | −1.72948 | − | 0.553979i | −0.0975999 | − | 0.0312628i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.96707 | + | 6.95787i | −0.279420 | + | 0.391411i | ||||
\(317\) | 13.7117 | 0.770128 | 0.385064 | − | 0.922890i | \(-0.374179\pi\) | ||||
0.385064 | + | 0.922890i | \(0.374179\pi\) | |||||||
\(318\) | −7.25339 | + | 22.6445i | −0.406750 | + | 1.26984i | ||||
\(319\) | − | 0.238266i | − | 0.0133403i | ||||||
\(320\) | −7.66791 | − | 2.28103i | −0.428649 | − | 0.127514i | ||||
\(321\) | − | 20.7170i | − | 1.15631i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 40.2606i | − | 2.24016i | ||||||
\(324\) | 3.73888 | + | 2.66910i | 0.207716 | + | 0.148284i | ||||
\(325\) | 4.11735i | 0.228390i | ||||||||
\(326\) | −11.5840 | − | 3.71054i | −0.641578 | − | 0.205508i | ||||
\(327\) | −49.4150 | −2.73266 | ||||||||
\(328\) | 13.5132 | + | 18.1183i | 0.746142 | + | 1.00042i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −0.118370 | + | 0.369542i | −0.00651607 | + | 0.0203426i | ||||
\(331\) | 5.68684i | 0.312577i | 0.987711 | + | 0.156289i | \(0.0499530\pi\) | ||||
−0.987711 | + | 0.156289i | \(0.950047\pi\) | |||||||
\(332\) | −10.5832 | − | 7.55508i | −0.580826 | − | 0.414639i | ||||
\(333\) | 4.66521 | 0.255652 | ||||||||
\(334\) | −3.49631 | + | 10.9152i | −0.191309 | + | 0.597252i | ||||
\(335\) | −0.109800 | −0.00599901 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.7219 | −0.801955 | −0.400978 | − | 0.916088i | \(-0.631330\pi\) | ||||
−0.400978 | + | 0.916088i | \(0.631330\pi\) | |||||||
\(338\) | 1.70517 | − | 5.32341i | 0.0927492 | − | 0.289555i | ||||
\(339\) | −49.6612 | −2.69723 | ||||||||
\(340\) | 8.78570 | + | 6.27192i | 0.476472 | + | 0.340142i | ||||
\(341\) | − | 0.545581i | − | 0.0295449i | ||||||
\(342\) | −14.4557 | + | 45.1296i | −0.781677 | + | 2.44033i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 11.9178 | + | 15.9792i | 0.642564 | + | 0.861542i | ||||
\(345\) | −4.12850 | −0.222271 | ||||||||
\(346\) | 10.8199 | + | 3.46580i | 0.581683 | + | 0.186322i | ||||
\(347\) | 15.4691i | 0.830424i | 0.909725 | + | 0.415212i | \(0.136293\pi\) | ||||
−0.909725 | + | 0.415212i | \(0.863707\pi\) | |||||||
\(348\) | 10.5903 | + | 7.56016i | 0.567699 | + | 0.405267i | ||||
\(349\) | 11.5290i | 0.617132i | 0.951203 | + | 0.308566i | \(0.0998491\pi\) | ||||
−0.951203 | + | 0.308566i | \(0.900151\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 16.8167i | − | 0.897608i | ||||||
\(352\) | −0.0118214 | − | 0.566937i | −0.000630082 | − | 0.0302179i | ||||
\(353\) | − | 20.4362i | − | 1.08771i | −0.839179 | − | 0.543855i | \(-0.816964\pi\) | ||
0.839179 | − | 0.543855i | \(-0.183036\pi\) | |||||||
\(354\) | −10.0642 | + | 31.4196i | −0.534906 | + | 1.66993i | ||||
\(355\) | −6.73221 | −0.357309 | ||||||||
\(356\) | −3.70897 | + | 5.19553i | −0.196575 | + | 0.275362i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 11.9173 | + | 3.81731i | 0.629850 | + | 0.201751i | ||||
\(359\) | − | 21.2189i | − | 1.11989i | −0.828529 | − | 0.559946i | \(-0.810822\pi\) | ||
0.828529 | − | 0.559946i | \(-0.189178\pi\) | |||||||
\(360\) | −7.59626 | − | 10.1850i | −0.400358 | − | 0.536795i | ||||
\(361\) | 36.6417 | 1.92851 | ||||||||
\(362\) | −28.7691 | − | 9.21521i | −1.51207 | − | 0.484341i | ||||
\(363\) | 30.0815 | 1.57887 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 6.14698 | 0.321748 | ||||||||
\(366\) | −29.1336 | − | 9.33195i | −1.52284 | − | 0.487789i | ||||
\(367\) | 7.65147 | 0.399404 | 0.199702 | − | 0.979857i | \(-0.436003\pi\) | ||||
0.199702 | + | 0.979857i | \(0.436003\pi\) | |||||||
\(368\) | 5.70603 | − | 1.95980i | 0.297447 | − | 0.102162i | ||||
\(369\) | 35.8980i | 1.86878i | ||||||||
\(370\) | 1.39869 | + | 0.448022i | 0.0727143 | + | 0.0232916i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 24.2496 | + | 17.3112i | 1.25728 | + | 0.897546i | ||||
\(373\) | 25.6343 | 1.32729 | 0.663647 | − | 0.748046i | \(-0.269008\pi\) | ||||
0.663647 | + | 0.748046i | \(0.269008\pi\) | |||||||
\(374\) | −0.233410 | + | 0.728686i | −0.0120693 | + | 0.0376795i | ||||
\(375\) | 2.73718i | 0.141348i | ||||||||
\(376\) | 10.0752 | − | 7.51440i | 0.519589 | − | 0.387526i | ||||
\(377\) | 9.78647i | 0.504029i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 29.1039i | 1.49497i | 0.664279 | + | 0.747485i | \(0.268739\pi\) | ||||
−0.664279 | + | 0.747485i | \(0.731261\pi\) | |||||||
\(380\) | −8.66802 | + | 12.1422i | −0.444660 | + | 0.622880i | ||||
\(381\) | 11.9772i | 0.613609i | ||||||||
\(382\) | −33.7018 | − | 10.7952i | −1.72433 | − | 0.552332i | ||||
\(383\) | 8.64322 | 0.441648 | 0.220824 | − | 0.975314i | \(-0.429125\pi\) | ||||
0.220824 | + | 0.975314i | \(0.429125\pi\) | |||||||
\(384\) | 25.5739 | + | 17.4635i | 1.30506 | + | 0.891178i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.52093 | + | 10.9921i | −0.179211 | + | 0.559481i | ||||
\(387\) | 31.6598i | 1.60936i | ||||||||
\(388\) | 12.8627 | − | 18.0180i | 0.653004 | − | 0.914728i | ||||
\(389\) | −14.1769 | −0.718799 | −0.359399 | − | 0.933184i | \(-0.617018\pi\) | ||||
−0.359399 | + | 0.933184i | \(0.617018\pi\) | |||||||
\(390\) | 4.86190 | − | 15.1785i | 0.246192 | − | 0.768591i | ||||
\(391\) | −8.14084 | −0.411700 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −8.16078 | −0.411657 | ||||||||
\(394\) | 5.37173 | − | 16.7701i | 0.270624 | − | 0.844864i | ||||
\(395\) | −4.27445 | −0.215071 | ||||||||
\(396\) | 0.523276 | − | 0.733005i | 0.0262956 | − | 0.0368349i | ||||
\(397\) | 0.175006i | 0.00878329i | 0.999990 | + | 0.00439164i | \(0.00139791\pi\) | ||||
−0.999990 | + | 0.00439164i | \(0.998602\pi\) | |||||||
\(398\) | 9.99708 | − | 31.2101i | 0.501108 | − | 1.56442i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.29934 | − | 3.78308i | −0.0649671 | − | 0.189154i | ||||
\(401\) | 24.0570 | 1.20135 | 0.600674 | − | 0.799494i | \(-0.294899\pi\) | ||||
0.600674 | + | 0.799494i | \(0.294899\pi\) | |||||||
\(402\) | 0.404773 | + | 0.129655i | 0.0201882 | + | 0.00646662i | ||||
\(403\) | 22.4090i | 1.11627i | ||||||||
\(404\) | 8.32472 | − | 11.6613i | 0.414170 | − | 0.580170i | ||||
\(405\) | 2.29692i | 0.114135i | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.104105i | 0.00516027i | ||||||||
\(408\) | −24.9821 | − | 33.4956i | −1.23680 | − | 1.65828i | ||||
\(409\) | 11.9364i | 0.590215i | 0.955464 | + | 0.295108i | \(0.0953555\pi\) | ||||
−0.955464 | + | 0.295108i | \(0.904644\pi\) | |||||||
\(410\) | −3.44746 | + | 10.7627i | −0.170258 | + | 0.531531i | ||||
\(411\) | −4.17353 | −0.205865 | ||||||||
\(412\) | −7.95347 | − | 5.67780i | −0.391839 | − | 0.279725i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 9.12536 | + | 2.92300i | 0.448487 | + | 0.143658i | ||||
\(415\) | − | 6.50159i | − | 0.319150i | ||||||
\(416\) | 0.485548 | + | 23.2862i | 0.0238060 | + | 1.14170i | ||||
\(417\) | −19.6005 | −0.959839 | ||||||||
\(418\) | −1.00707 | − | 0.322581i | −0.0492575 | − | 0.0157780i | ||||
\(419\) | −30.1003 | −1.47050 | −0.735249 | − | 0.677798i | \(-0.762935\pi\) | ||||
−0.735249 | + | 0.677798i | \(0.762935\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.78256 | 0.330562 | 0.165281 | − | 0.986247i | \(-0.447147\pi\) | ||||
0.165281 | + | 0.986247i | \(0.447147\pi\) | |||||||
\(422\) | −14.7824 | − | 4.73505i | −0.719598 | − | 0.230499i | ||||
\(423\) | 19.9621 | 0.970592 | ||||||||
\(424\) | 13.9270 | − | 10.3872i | 0.676353 | − | 0.504445i | ||||
\(425\) | 5.39735i | 0.261810i | ||||||||
\(426\) | 24.8180 | + | 7.94961i | 1.20244 | + | 0.385160i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −8.79513 | + | 12.3202i | −0.425128 | + | 0.595520i | ||||
\(429\) | 1.12974 | 0.0545441 | ||||||||
\(430\) | −3.04044 | + | 9.49200i | −0.146623 | + | 0.457745i | ||||
\(431\) | 15.9360i | 0.767612i | 0.923414 | + | 0.383806i | \(0.125387\pi\) | ||||
−0.923414 | + | 0.383806i | \(0.874613\pi\) | |||||||
\(432\) | 5.30696 | + | 15.4514i | 0.255331 | + | 0.743406i | ||||
\(433\) | 15.1291i | 0.727057i | 0.931583 | + | 0.363529i | \(0.118428\pi\) | ||||
−0.931583 | + | 0.363529i | \(0.881572\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 6.50596i | 0.311937i | ||||||||
\(436\) | 29.3867 | + | 20.9785i | 1.40737 | + | 1.00469i | ||||
\(437\) | − | 11.2509i | − | 0.538205i | ||||||
\(438\) | −22.6606 | − | 7.25855i | −1.08276 | − | 0.346827i | ||||
\(439\) | −4.36674 | −0.208413 | −0.104207 | − | 0.994556i | \(-0.533230\pi\) | ||||
−0.104207 | + | 0.994556i | \(0.533230\pi\) | |||||||
\(440\) | 0.227278 | − | 0.169511i | 0.0108351 | − | 0.00808113i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.58701 | − | 29.9298i | 0.456007 | − | 1.42362i | ||||
\(443\) | 14.0982i | 0.669825i | 0.942249 | + | 0.334913i | \(0.108707\pi\) | ||||
−0.942249 | + | 0.334913i | \(0.891293\pi\) | |||||||
\(444\) | −4.62717 | − | 3.30323i | −0.219596 | − | 0.156764i | ||||
\(445\) | −3.19179 | −0.151305 | ||||||||
\(446\) | 6.46233 | − | 20.1748i | 0.306000 | − | 0.955307i | ||||
\(447\) | −57.6102 | −2.72487 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 17.0120 | 0.802848 | 0.401424 | − | 0.915892i | \(-0.368515\pi\) | ||||
0.401424 | + | 0.915892i | \(0.368515\pi\) | |||||||
\(450\) | 1.93794 | − | 6.05009i | 0.0913554 | − | 0.285204i | ||||
\(451\) | −0.801068 | −0.0377208 | ||||||||
\(452\) | 29.5331 | + | 21.0830i | 1.38912 | + | 0.991663i | ||||
\(453\) | − | 10.4642i | − | 0.491652i | ||||||
\(454\) | 0.650306 | − | 2.03020i | 0.0305204 | − | 0.0952820i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 46.2922 | − | 34.5261i | 2.16783 | − | 1.61683i | ||||
\(457\) | 11.6647 | 0.545651 | 0.272825 | − | 0.962064i | \(-0.412042\pi\) | ||||
0.272825 | + | 0.962064i | \(0.412042\pi\) | |||||||
\(458\) | −11.4822 | − | 3.67793i | −0.536527 | − | 0.171858i | ||||
\(459\) | − | 22.0446i | − | 1.02895i | ||||||
\(460\) | 2.45519 | + | 1.75270i | 0.114474 | + | 0.0817202i | ||||
\(461\) | − | 26.4488i | − | 1.23184i | −0.787808 | − | 0.615921i | \(-0.788784\pi\) | ||
0.787808 | − | 0.615921i | \(-0.211216\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.13685i | 0.145782i | 0.997340 | + | 0.0728909i | \(0.0232225\pi\) | ||||
−0.997340 | + | 0.0728909i | \(0.976778\pi\) | |||||||
\(464\) | −3.08838 | − | 8.99194i | −0.143375 | − | 0.417440i | ||||
\(465\) | 14.8973i | 0.690847i | ||||||||
\(466\) | 9.15583 | − | 28.5837i | 0.424136 | − | 1.32412i | ||||
\(467\) | −8.14113 | −0.376727 | −0.188363 | − | 0.982099i | \(-0.560318\pi\) | ||||
−0.188363 | + | 0.982099i | \(0.560318\pi\) | |||||||
\(468\) | −21.4929 | + | 30.1072i | −0.993508 | + | 1.39171i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 5.98489 | + | 1.91706i | 0.276062 | + | 0.0884272i | ||||
\(471\) | 3.51490i | 0.161958i | ||||||||
\(472\) | 19.3239 | − | 14.4123i | 0.889454 | − | 0.663382i | ||||
\(473\) | −0.706491 | −0.0324845 | ||||||||
\(474\) | 15.7576 | + | 5.04741i | 0.723770 | + | 0.231835i | ||||
\(475\) | −7.45934 | −0.342258 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 27.5937 | 1.26343 | ||||||||
\(478\) | 13.6744 | + | 4.38012i | 0.625451 | + | 0.200342i | ||||
\(479\) | 24.7807 | 1.13226 | 0.566131 | − | 0.824316i | \(-0.308440\pi\) | ||||
0.566131 | + | 0.824316i | \(0.308440\pi\) | |||||||
\(480\) | 0.322788 | + | 15.4805i | 0.0147332 | + | 0.706584i | ||||
\(481\) | − | 4.27596i | − | 0.194967i | ||||||
\(482\) | 25.6577 | + | 8.21858i | 1.16868 | + | 0.374346i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −17.8892 | − | 12.7707i | −0.813147 | − | 0.580487i | ||||
\(485\) | 11.0691 | 0.502621 | ||||||||
\(486\) | 7.99828 | − | 24.9700i | 0.362809 | − | 1.13266i | ||||
\(487\) | 12.6945i | 0.575244i | 0.957744 | + | 0.287622i | \(0.0928646\pi\) | ||||
−0.957744 | + | 0.287622i | \(0.907135\pi\) | |||||||
\(488\) | 13.3637 | + | 17.9179i | 0.604948 | + | 0.811107i | ||||
\(489\) | 23.5427i | 1.06464i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.51192i | 0.429267i | 0.976695 | + | 0.214633i | \(0.0688557\pi\) | ||||
−0.976695 | + | 0.214633i | \(0.931144\pi\) | |||||||
\(492\) | 25.4178 | − | 35.6053i | 1.14592 | − | 1.60521i | ||||
\(493\) | 12.8289i | 0.577783i | ||||||||
\(494\) | 41.3641 | + | 13.2496i | 1.86106 | + | 0.596128i | ||||
\(495\) | 0.450309 | 0.0202399 | ||||||||
\(496\) | −7.07177 | − | 20.5897i | −0.317532 | − | 0.924506i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −7.67728 | + | 23.9678i | −0.344027 | + | 1.07402i | ||||
\(499\) | 8.49279i | 0.380189i | 0.981766 | + | 0.190095i | \(0.0608795\pi\) | ||||
−0.981766 | + | 0.190095i | \(0.939121\pi\) | |||||||
\(500\) | 1.16204 | − | 1.62778i | 0.0519679 | − | 0.0727966i | ||||
\(501\) | 22.1834 | 0.991083 | ||||||||
\(502\) | −4.08188 | + | 12.7433i | −0.182183 | + | 0.568760i | ||||
\(503\) | 10.4796 | 0.467261 | 0.233630 | − | 0.972325i | \(-0.424939\pi\) | ||||
0.233630 | + | 0.972325i | \(0.424939\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.16390 | 0.318790 | ||||||||
\(506\) | −0.0652270 | + | 0.203633i | −0.00289969 | + | 0.00905260i | ||||
\(507\) | −10.8190 | −0.480490 | ||||||||
\(508\) | 5.08475 | − | 7.12272i | 0.225599 | − | 0.316020i | ||||
\(509\) | − | 22.8034i | − | 1.01074i | −0.862902 | − | 0.505371i | \(-0.831356\pi\) | ||
0.862902 | − | 0.505371i | \(-0.168644\pi\) | |||||||
\(510\) | 6.37336 | − | 19.8971i | 0.282217 | − | 0.881059i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −7.79472 | − | 21.2425i | −0.344481 | − | 0.938793i | ||||
\(513\) | 30.4665 | 1.34513 | ||||||||
\(514\) | −3.69754 | − | 1.18438i | −0.163091 | − | 0.0522408i | ||||
\(515\) | − | 4.88608i | − | 0.215306i | ||||||
\(516\) | 22.4169 | − | 31.4016i | 0.986849 | − | 1.38238i | ||||
\(517\) | 0.445456i | 0.0195912i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 21.9899i | − | 0.965248i | ||||||
\(520\) | −9.33516 | + | 6.96245i | −0.409374 | + | 0.305324i | ||||
\(521\) | 9.09960i | 0.398661i | 0.979932 | + | 0.199330i | \(0.0638767\pi\) | ||||
−0.979932 | + | 0.199330i | \(0.936123\pi\) | |||||||
\(522\) | 4.60626 | − | 14.3803i | 0.201610 | − | 0.629411i | ||||
\(523\) | 4.76095 | 0.208182 | 0.104091 | − | 0.994568i | \(-0.466807\pi\) | ||||
0.104091 | + | 0.994568i | \(0.466807\pi\) | |||||||
\(524\) | 4.85315 | + | 3.46456i | 0.212011 | + | 0.151350i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 34.5816 | + | 11.0771i | 1.50783 | + | 0.482982i | ||||
\(527\) | 29.3755i | 1.27962i | ||||||||
\(528\) | −1.03802 | + | 0.356518i | −0.0451739 | + | 0.0155155i | ||||
\(529\) | 20.7250 | 0.901088 | ||||||||
\(530\) | 8.27292 | + | 2.64995i | 0.359353 | + | 0.115106i | ||||
\(531\) | 38.2866 | 1.66150 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 32.9028 | 1.42518 | ||||||||
\(534\) | 11.7664 | + | 3.76896i | 0.509181 | + | 0.163099i | ||||
\(535\) | −7.56872 | −0.327224 | ||||||||
\(536\) | −0.185672 | − | 0.248946i | −0.00801980 | − | 0.0107528i | ||||
\(537\) | − | 24.2202i | − | 1.04518i | ||||||
\(538\) | 11.0438 | + | 3.53751i | 0.476133 | + | 0.152513i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −4.74615 | + | 6.64842i | −0.204242 | + | 0.286102i | ||||
\(541\) | −22.4624 | −0.965734 | −0.482867 | − | 0.875694i | \(-0.660405\pi\) | ||||
−0.482867 | + | 0.875694i | \(0.660405\pi\) | |||||||
\(542\) | −2.76412 | + | 8.62936i | −0.118729 | + | 0.370663i | ||||
\(543\) | 58.4689i | 2.50914i | ||||||||
\(544\) | 0.636494 | + | 30.5254i | 0.0272895 | + | 1.30877i | ||||
\(545\) | 18.0532i | 0.773316i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 24.4644i | − | 1.04602i | −0.852326 | − | 0.523012i | \(-0.824808\pi\) | ||
0.852326 | − | 0.523012i | \(-0.175192\pi\) | |||||||
\(548\) | 2.48196 | + | 1.77182i | 0.106024 | + | 0.0756884i | ||||
\(549\) | 35.5010i | 1.51515i | ||||||||
\(550\) | 0.135008 | + | 0.0432453i | 0.00575677 | + | 0.00184399i | ||||
\(551\) | −17.7300 | −0.755322 | ||||||||
\(552\) | −6.98130 | − | 9.36043i | −0.297144 | − | 0.398406i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −6.88915 | + | 21.5073i | −0.292692 | + | 0.913759i | ||||
\(555\) | − | 2.84262i | − | 0.120663i | ||||||
\(556\) | 11.6562 | + | 8.32113i | 0.494335 | + | 0.352895i | ||||
\(557\) | −8.43255 | −0.357299 | −0.178649 | − | 0.983913i | \(-0.557173\pi\) | ||||
−0.178649 | + | 0.983913i | \(0.557173\pi\) | |||||||
\(558\) | 10.5474 | − | 32.9281i | 0.446507 | − | 1.39396i | ||||
\(559\) | 29.0182 | 1.22734 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.48095 | 0.0625255 | ||||||||
\(562\) | 4.17775 | − | 13.0426i | 0.176228 | − | 0.550169i | ||||
\(563\) | 27.1665 | 1.14493 | 0.572467 | − | 0.819928i | \(-0.305987\pi\) | ||||
0.572467 | + | 0.819928i | \(0.305987\pi\) | |||||||
\(564\) | −19.7993 | − | 14.1343i | −0.833702 | − | 0.595161i | ||||
\(565\) | 18.1432i | 0.763289i | ||||||||
\(566\) | −11.2712 | + | 35.1876i | −0.473762 | + | 1.47905i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −11.3842 | − | 15.2638i | −0.477669 | − | 0.640453i | ||||
\(569\) | 14.2329 | 0.596672 | 0.298336 | − | 0.954461i | \(-0.403568\pi\) | ||||
0.298336 | + | 0.954461i | \(0.403568\pi\) | |||||||
\(570\) | 27.4985 | + | 8.80822i | 1.15179 | + | 0.368936i | ||||
\(571\) | − | 16.8436i | − | 0.704884i | −0.935834 | − | 0.352442i | \(-0.885351\pi\) | ||
0.935834 | − | 0.352442i | \(-0.114649\pi\) | |||||||
\(572\) | −0.671845 | − | 0.479615i | −0.0280912 | − | 0.0200537i | ||||
\(573\) | 68.4938i | 2.86137i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.50830i | 0.0629006i | ||||||||
\(576\) | 10.2468 | − | 34.4456i | 0.426950 | − | 1.43523i | ||||
\(577\) | − | 2.15337i | − | 0.0896459i | −0.998995 | − | 0.0448230i | \(-0.985728\pi\) | ||
0.998995 | − | 0.0448230i | \(-0.0142724\pi\) | |||||||
\(578\) | 5.23353 | − | 16.3386i | 0.217686 | − | 0.679598i | ||||
\(579\) | 22.3397 | 0.928407 | ||||||||
\(580\) | 2.76202 | − | 3.86904i | 0.114687 | − | 0.160653i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −40.8057 | − | 13.0707i | −1.69145 | − | 0.541799i | ||||
\(583\) | 0.615755i | 0.0255020i | ||||||||
\(584\) | 10.3945 | + | 13.9369i | 0.430129 | + | 0.576712i | ||||
\(585\) | −18.4959 | −0.764710 | ||||||||
\(586\) | 21.8706 | + | 7.00551i | 0.903467 | + | 0.289395i | ||||
\(587\) | 11.3061 | 0.466652 | 0.233326 | − | 0.972399i | \(-0.425039\pi\) | ||||
0.233326 | + | 0.972399i | \(0.425039\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −40.5980 | −1.67281 | ||||||||
\(590\) | 11.4788 | + | 3.67684i | 0.472575 | + | 0.151373i | ||||
\(591\) | −34.0827 | −1.40197 | ||||||||
\(592\) | 1.34939 | + | 3.92881i | 0.0554598 | + | 0.161473i | ||||
\(593\) | 17.0399i | 0.699744i | 0.936798 | + | 0.349872i | \(0.113775\pi\) | ||||
−0.936798 | + | 0.349872i | \(0.886225\pi\) | |||||||
\(594\) | −0.551420 | − | 0.176629i | −0.0226250 | − | 0.00724716i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 34.2603 | + | 24.4577i | 1.40336 | + | 1.00183i | ||||
\(597\) | −63.4297 | −2.59601 | ||||||||
\(598\) | 2.67911 | − | 8.36397i | 0.109557 | − | 0.342028i | ||||
\(599\) | 3.92441i | 0.160347i | 0.996781 | + | 0.0801736i | \(0.0255475\pi\) | ||||
−0.996781 | + | 0.0801736i | \(0.974453\pi\) | |||||||
\(600\) | −6.20593 | + | 4.62858i | −0.253356 | + | 0.188961i | ||||
\(601\) | 8.98026i | 0.366312i | 0.983084 | + | 0.183156i | \(0.0586314\pi\) | ||||
−0.983084 | + | 0.183156i | \(0.941369\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 0.493240i | − | 0.0200863i | ||||||
\(604\) | −4.44245 | + | 6.22299i | −0.180761 | + | 0.253210i | ||||
\(605\) | − | 10.9900i | − | 0.446805i | ||||||
\(606\) | −26.4094 | − | 8.45937i | −1.07281 | − | 0.343638i | ||||
\(607\) | 37.5791 | 1.52529 | 0.762644 | − | 0.646819i | \(-0.223901\pi\) | ||||
0.762644 | + | 0.646819i | \(0.223901\pi\) | |||||||
\(608\) | −42.1872 | + | 0.879659i | −1.71092 | + | 0.0356749i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.40933 | + | 10.6436i | −0.138040 | + | 0.430948i | ||||
\(611\) | − | 18.2965i | − | 0.740199i | ||||||
\(612\) | −28.1745 | + | 39.4669i | −1.13889 | + | 1.59535i | ||||
\(613\) | −46.2598 | −1.86841 | −0.934207 | − | 0.356731i | \(-0.883891\pi\) | ||||
−0.934207 | + | 0.356731i | \(0.883891\pi\) | |||||||
\(614\) | −10.1568 | + | 31.7088i | −0.409896 | + | 1.27966i | ||||
\(615\) | 21.8735 | 0.882025 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −42.8844 | −1.72646 | −0.863231 | − | 0.504809i | \(-0.831563\pi\) | ||||
−0.863231 | + | 0.504809i | \(0.831563\pi\) | |||||||
\(618\) | −5.76964 | + | 18.0123i | −0.232089 | + | 0.724562i | ||||
\(619\) | −29.5006 | −1.18573 | −0.592865 | − | 0.805302i | \(-0.702003\pi\) | ||||
−0.592865 | + | 0.805302i | \(0.702003\pi\) | |||||||
\(620\) | 6.32447 | − | 8.85932i | 0.253997 | − | 0.355799i | ||||
\(621\) | − | 6.16042i | − | 0.247209i | ||||||
\(622\) | 2.32762 | − | 7.26665i | 0.0933293 | − | 0.291366i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 42.6352 | − | 14.6435i | 1.70677 | − | 0.586210i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −43.8540 | − | 14.0471i | −1.75276 | − | 0.561436i | ||||
\(627\) | 2.04672i | 0.0817381i | ||||||||
\(628\) | 1.49221 | − | 2.09028i | 0.0595455 | − | 0.0834113i | ||||
\(629\) | − | 5.60526i | − | 0.223496i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 20.5872i | 0.819563i | 0.912184 | + | 0.409781i | \(0.134395\pi\) | ||||
−0.912184 | + | 0.409781i | \(0.865605\pi\) | |||||||
\(632\) | −7.22810 | − | 9.69134i | −0.287518 | − | 0.385501i | ||||
\(633\) | 30.0431i | 1.19411i | ||||||||
\(634\) | −5.91530 | + | 18.4671i | −0.234927 | + | 0.733422i | ||||
\(635\) | 4.37573 | 0.173645 | ||||||||
\(636\) | −27.3686 | − | 19.5378i | −1.08524 | − | 0.774726i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0.320899 | + | 0.102789i | 0.0127045 | + | 0.00406945i | ||||
\(639\) | − | 30.2422i | − | 1.19636i | ||||||
\(640\) | 6.38008 | − | 9.34315i | 0.252195 | − | 0.369321i | ||||
\(641\) | −36.8526 | −1.45559 | −0.727795 | − | 0.685794i | \(-0.759455\pi\) | ||||
−0.727795 | + | 0.685794i | \(0.759455\pi\) | |||||||
\(642\) | 27.9018 | + | 8.93738i | 1.10119 | + | 0.352730i | ||||
\(643\) | 48.4719 | 1.91154 | 0.955772 | − | 0.294108i | \(-0.0950227\pi\) | ||||
0.955772 | + | 0.294108i | \(0.0950227\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 19.2911 | 0.759585 | ||||||||
\(646\) | 54.2233 | + | 17.3686i | 2.13339 | + | 0.683359i | ||||
\(647\) | 39.1866 | 1.54058 | 0.770292 | − | 0.637692i | \(-0.220111\pi\) | ||||
0.770292 | + | 0.637692i | \(0.220111\pi\) | |||||||
\(648\) | −5.20774 | + | 3.88409i | −0.204579 | + | 0.152581i | ||||
\(649\) | 0.854369i | 0.0335369i | ||||||||
\(650\) | −5.54528 | − | 1.77624i | −0.217504 | − | 0.0696700i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.99477 | − | 14.0007i | 0.391425 | − | 0.548309i | ||||
\(653\) | 6.88323 | 0.269362 | 0.134681 | − | 0.990889i | \(-0.456999\pi\) | ||||
0.134681 | + | 0.990889i | \(0.456999\pi\) | |||||||
\(654\) | 21.3178 | − | 66.5525i | 0.833593 | − | 2.60241i | ||||
\(655\) | 2.98145i | 0.116495i | ||||||||
\(656\) | −30.2315 | + | 10.3834i | −1.18034 | + | 0.405402i | ||||
\(657\) | 27.6133i | 1.07730i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 40.9792i | − | 1.59632i | −0.602444 | − | 0.798161i | \(-0.705806\pi\) | ||
0.602444 | − | 0.798161i | \(-0.294194\pi\) | |||||||
\(660\) | −0.446637 | − | 0.318844i | −0.0173853 | − | 0.0124110i | ||||
\(661\) | − | 12.0892i | − | 0.470216i | −0.971969 | − | 0.235108i | \(-0.924456\pi\) | ||
0.971969 | − | 0.235108i | \(-0.0755443\pi\) | |||||||
\(662\) | −7.65908 | − | 2.45333i | −0.297679 | − | 0.0953512i | ||||
\(663\) | −60.8279 | −2.36236 | ||||||||
\(664\) | 14.7409 | − | 10.9942i | 0.572056 | − | 0.426657i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2.01259 | + | 6.28314i | −0.0779863 | + | 0.243467i | ||||
\(667\) | 3.58506i | 0.138814i | ||||||||
\(668\) | −13.1923 | − | 9.41770i | −0.510426 | − | 0.364382i | ||||
\(669\) | −41.0023 | −1.58524 | ||||||||
\(670\) | 0.0473681 | − | 0.147879i | 0.00182999 | − | 0.00571308i | ||||
\(671\) | −0.792208 | −0.0305828 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 29.0006 | 1.11789 | 0.558945 | − | 0.829205i | \(-0.311206\pi\) | ||||
0.558945 | + | 0.829205i | \(0.311206\pi\) | |||||||
\(674\) | 6.35111 | − | 19.8276i | 0.244635 | − | 0.763732i | ||||
\(675\) | −4.08434 | −0.157206 | ||||||||
\(676\) | 6.43399 | + | 4.59308i | 0.247461 | + | 0.176657i | ||||
\(677\) | 48.3082i | 1.85663i | 0.371791 | + | 0.928317i | \(0.378744\pi\) | ||||
−0.371791 | + | 0.928317i | \(0.621256\pi\) | |||||||
\(678\) | 21.4240 | − | 66.8841i | 0.822786 | − | 2.56867i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −12.2373 | + | 9.12692i | −0.469277 | + | 0.350001i | ||||
\(681\) | −4.12607 | −0.158112 | ||||||||
\(682\) | 0.734792 | + | 0.235366i | 0.0281367 | + | 0.00901262i | ||||
\(683\) | 13.2246i | 0.506026i | 0.967463 | + | 0.253013i | \(0.0814215\pi\) | ||||
−0.967463 | + | 0.253013i | \(0.918579\pi\) | |||||||
\(684\) | −54.5447 | − | 38.9382i | −2.08557 | − | 1.48884i | ||||
\(685\) | 1.52475i | 0.0582578i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 23.3358i | 0.890317i | ||||||||
\(688\) | −26.6623 | + | 9.15748i | −1.01649 | + | 0.349125i | ||||
\(689\) | − | 25.2913i | − | 0.963522i | ||||||
\(690\) | 1.78105 | − | 5.56029i | 0.0678035 | − | 0.211677i | ||||
\(691\) | −39.8895 | −1.51747 | −0.758733 | − | 0.651401i | \(-0.774181\pi\) | ||||
−0.758733 | + | 0.651401i | \(0.774181\pi\) | |||||||
\(692\) | −9.33552 | + | 13.0772i | −0.354883 | + | 0.497121i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −20.8339 | − | 6.67342i | −0.790843 | − | 0.253320i | ||||
\(695\) | 7.16082i | 0.271625i | ||||||||
\(696\) | −14.7508 | + | 11.0016i | −0.559127 | + | 0.417014i | ||||
\(697\) | 43.1316 | 1.63372 | ||||||||
\(698\) | −15.5273 | − | 4.97365i | −0.587718 | − | 0.188255i | ||||
\(699\) | −58.0921 | −2.19725 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5.82647 | −0.220063 | −0.110031 | − | 0.993928i | \(-0.535095\pi\) | ||||
−0.110031 | + | 0.993928i | \(0.535095\pi\) | |||||||
\(702\) | 22.6488 | + | 7.25479i | 0.854825 | + | 0.273814i | ||||
\(703\) | 7.74668 | 0.292171 | ||||||||
\(704\) | 0.768655 | + | 0.228658i | 0.0289698 | + | 0.00861787i | ||||
\(705\) | − | 12.1634i | − | 0.458100i | ||||||
\(706\) | 27.5237 | + | 8.81627i | 1.03587 | + | 0.331805i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −37.9744 | − | 27.1091i | −1.42716 | − | 1.01882i | ||||
\(709\) | −16.5923 | −0.623137 | −0.311569 | − | 0.950224i | \(-0.600854\pi\) | ||||
−0.311569 | + | 0.950224i | \(0.600854\pi\) | |||||||
\(710\) | 2.90430 | − | 9.06700i | 0.108997 | − | 0.340278i | ||||
\(711\) | − | 19.2016i | − | 0.720115i | ||||||
\(712\) | −5.39731 | − | 7.23664i | −0.202273 | − | 0.271205i | ||||
\(713\) | 8.20905i | 0.307431i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 0.412736i | − | 0.0154355i | ||||||
\(716\) | −10.2824 | + | 14.4035i | −0.384270 | + | 0.538285i | ||||
\(717\) | − | 27.7911i | − | 1.03788i | ||||||
\(718\) | 28.5778 | + | 9.15394i | 1.06652 | + | 0.341622i | ||||
\(719\) | 3.39845 | 0.126741 | 0.0633704 | − | 0.997990i | \(-0.479815\pi\) | ||||
0.0633704 | + | 0.997990i | \(0.479815\pi\) | |||||||
\(720\) | 16.9942 | − | 5.83687i | 0.633338 | − | 0.217527i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −15.8074 | + | 49.3493i | −0.588290 | + | 1.83659i | ||||
\(723\) | − | 52.1455i | − | 1.93931i | ||||||
\(724\) | 24.8222 | − | 34.7710i | 0.922511 | − | 1.29225i | ||||
\(725\) | 2.37688 | 0.0882752 | ||||||||
\(726\) | −12.9773 | + | 40.5140i | −0.481632 | + | 1.50362i | ||||
\(727\) | 14.3045 | 0.530526 | 0.265263 | − | 0.964176i | \(-0.414541\pi\) | ||||
0.265263 | + | 0.964176i | \(0.414541\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −43.8569 | −1.62433 | ||||||||
\(730\) | −2.65183 | + | 8.27880i | −0.0981487 | + | 0.306412i | ||||
\(731\) | 38.0393 | 1.40694 | ||||||||
\(732\) | 25.1367 | − | 35.2115i | 0.929079 | − | 1.30145i | ||||
\(733\) | − | 49.4913i | − | 1.82800i | −0.405711 | − | 0.914001i | \(-0.632976\pi\) | ||
0.405711 | − | 0.914001i | \(-0.367024\pi\) | |||||||
\(734\) | −3.30088 | + | 10.3051i | −0.121838 | + | 0.380367i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.177870 | + | 8.53039i | 0.00655637 | + | 0.314434i | ||||
\(737\) | 0.0110067 | 0.000405437 | ||||||||
\(738\) | −48.3478 | − | 15.4866i | −1.77971 | − | 0.570068i | ||||
\(739\) | − | 26.8103i | − | 0.986234i | −0.869963 | − | 0.493117i | \(-0.835857\pi\) | ||
0.869963 | − | 0.493117i | \(-0.164143\pi\) | |||||||
\(740\) | −1.20680 | + | 1.69048i | −0.0443628 | + | 0.0621435i | ||||
\(741\) | − | 84.0664i | − | 3.08826i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 22.2896i | 0.817727i | 0.912596 | + | 0.408863i | \(0.134075\pi\) | ||||
−0.912596 | + | 0.408863i | \(0.865925\pi\) | |||||||
\(744\) | −33.7763 | + | 25.1914i | −1.23830 | + | 0.923561i | ||||
\(745\) | 21.0473i | 0.771112i | ||||||||
\(746\) | −11.0587 | + | 34.5245i | −0.404890 | + | 1.26403i | ||||
\(747\) | 29.2062 | 1.06860 | ||||||||
\(748\) | −0.880706 | − | 0.628717i | −0.0322018 | − | 0.0229882i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −3.68646 | − | 1.18083i | −0.134610 | − | 0.0431179i | ||||
\(751\) | 12.8665i | 0.469505i | 0.972055 | + | 0.234752i | \(0.0754279\pi\) | ||||
−0.972055 | + | 0.234752i | \(0.924572\pi\) | |||||||
\(752\) | 5.77397 | + | 16.8111i | 0.210555 | + | 0.613038i | ||||
\(753\) | 25.8988 | 0.943804 | ||||||||
\(754\) | −13.1805 | − | 4.22192i | −0.480005 | − | 0.153753i | ||||
\(755\) | −3.82299 | −0.139133 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.66830 | −0.133327 | −0.0666633 | − | 0.997776i | \(-0.521235\pi\) | ||||
−0.0666633 | + | 0.997776i | \(0.521235\pi\) | |||||||
\(758\) | −39.1974 | − | 12.5556i | −1.42371 | − | 0.456039i | ||||
\(759\) | 0.413854 | 0.0150219 | ||||||||
\(760\) | −12.6137 | − | 16.9123i | −0.457549 | − | 0.613475i | ||||
\(761\) | − | 2.95761i | − | 0.107213i | −0.998562 | − | 0.0536066i | \(-0.982928\pi\) | ||
0.998562 | − | 0.0536066i | \(-0.0170717\pi\) | |||||||
\(762\) | −16.1309 | − | 5.16700i | −0.584362 | − | 0.187181i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 29.0782 | − | 40.7327i | 1.05201 | − | 1.47366i | ||||
\(765\) | −24.2458 | −0.876609 | ||||||||
\(766\) | −3.72872 | + | 11.6408i | −0.134724 | + | 0.420598i | ||||
\(767\) | − | 35.0921i | − | 1.26710i | ||||||
\(768\) | −34.5526 | + | 26.9093i | −1.24681 | + | 0.971007i | ||||
\(769\) | − | 32.6324i | − | 1.17676i | −0.808586 | − | 0.588378i | \(-0.799767\pi\) | ||
0.808586 | − | 0.588378i | \(-0.200233\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 7.51469i | 0.270635i | ||||||||
\(772\) | −13.2852 | − | 9.48404i | −0.478147 | − | 0.341338i | ||||
\(773\) | 5.49687i | 0.197709i | 0.995102 | + | 0.0988544i | \(0.0315178\pi\) | ||||
−0.995102 | + | 0.0988544i | \(0.968482\pi\) | |||||||
\(774\) | −42.6397 | − | 13.6582i | −1.53265 | − | 0.490933i | ||||
\(775\) | 5.44258 | 0.195503 | ||||||||
\(776\) | 18.7178 | + | 25.0966i | 0.671931 | + | 0.900916i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.11598 | − | 19.0936i | 0.219269 | − | 0.684538i | ||||
\(779\) | 59.6094i | 2.13573i | ||||||||
\(780\) | 18.3450 | + | 13.0961i | 0.656857 | + | 0.468915i | ||||
\(781\) | 0.674858 | 0.0241483 | ||||||||
\(782\) | 3.51199 | − | 10.9641i | 0.125589 | − | 0.392077i | ||||