Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (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: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.13 | ||
Character | \(\chi\) | \(=\) | 108.23 |
Dual form | 108.2.l.a.47.13 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.960112 | − | 1.03836i | 0.678902 | − | 0.734229i | ||||
\(3\) | −0.581372 | + | 1.63157i | −0.335656 | + | 0.941985i | ||||
\(4\) | −0.156370 | − | 1.99388i | −0.0781849 | − | 0.996939i | ||||
\(5\) | 2.23728 | + | 0.394492i | 1.00054 | + | 0.176422i | 0.649845 | − | 0.760067i | \(-0.274834\pi\) |
0.350696 | + | 0.936489i | \(0.385945\pi\) | |||||||
\(6\) | 1.13596 | + | 2.17016i | 0.463756 | + | 0.885963i | ||||
\(7\) | 0.842213 | + | 1.00371i | 0.318327 | + | 0.379367i | 0.901352 | − | 0.433087i | \(-0.142576\pi\) |
−0.583025 | + | 0.812454i | \(0.698131\pi\) | |||||||
\(8\) | −2.22049 | − | 1.75198i | −0.785061 | − | 0.619418i | ||||
\(9\) | −2.32401 | − | 1.89709i | −0.774671 | − | 0.632365i | ||||
\(10\) | 2.55766 | − | 1.94434i | 0.808803 | − | 0.614853i | ||||
\(11\) | −0.469629 | − | 2.66340i | −0.141598 | − | 0.803044i | −0.970036 | − | 0.242963i | \(-0.921881\pi\) |
0.828437 | − | 0.560082i | \(-0.189230\pi\) | |||||||
\(12\) | 3.34405 | + | 0.904058i | 0.965344 | + | 0.260979i | ||||
\(13\) | −4.27030 | + | 1.55426i | −1.18437 | + | 0.431075i | −0.857743 | − | 0.514079i | \(-0.828134\pi\) |
−0.326625 | + | 0.945154i | \(0.605912\pi\) | |||||||
\(14\) | 1.85083 | + | 0.0891568i | 0.494655 | + | 0.0238282i | ||||
\(15\) | −1.94433 | + | 3.42092i | −0.502024 | + | 0.883277i | ||||
\(16\) | −3.95110 | + | 0.623564i | −0.987774 | + | 0.155891i | ||||
\(17\) | 4.20783 | + | 2.42939i | 1.02055 | + | 0.589214i | 0.914263 | − | 0.405122i | \(-0.132771\pi\) |
0.106286 | + | 0.994336i | \(0.466104\pi\) | |||||||
\(18\) | −4.20117 | + | 0.591731i | −0.990226 | + | 0.139472i | ||||
\(19\) | −5.44971 | + | 3.14639i | −1.25025 | + | 0.721832i | −0.971159 | − | 0.238433i | \(-0.923366\pi\) |
−0.279090 | + | 0.960265i | \(0.590033\pi\) | |||||||
\(20\) | 0.436727 | − | 4.52254i | 0.0976551 | − | 1.01127i | ||||
\(21\) | −2.12726 | + | 0.790596i | −0.464206 | + | 0.172522i | ||||
\(22\) | −3.21645 | − | 2.06952i | −0.685750 | − | 0.441223i | ||||
\(23\) | −1.94350 | − | 1.63079i | −0.405248 | − | 0.340043i | 0.417270 | − | 0.908782i | \(-0.362987\pi\) |
−0.822518 | + | 0.568739i | \(0.807431\pi\) | |||||||
\(24\) | 4.14940 | − | 2.60432i | 0.846992 | − | 0.531605i | ||||
\(25\) | 0.151321 | + | 0.0550764i | 0.0302642 | + | 0.0110153i | ||||
\(26\) | −2.48609 | + | 5.92636i | −0.487562 | + | 1.16226i | ||||
\(27\) | 4.44635 | − | 2.68886i | 0.855701 | − | 0.517471i | ||||
\(28\) | 1.86958 | − | 1.83622i | 0.353317 | − | 0.347013i | ||||
\(29\) | 1.68452 | − | 4.62818i | 0.312807 | − | 0.859431i | −0.679280 | − | 0.733879i | \(-0.737708\pi\) |
0.992087 | − | 0.125552i | \(-0.0400701\pi\) | |||||||
\(30\) | 1.68536 | + | 5.30337i | 0.307703 | + | 0.968259i | ||||
\(31\) | 1.87889 | − | 2.23918i | 0.337459 | − | 0.402168i | −0.570452 | − | 0.821331i | \(-0.693232\pi\) |
0.907911 | + | 0.419163i | \(0.137676\pi\) | |||||||
\(32\) | −3.14601 | + | 4.70134i | −0.556142 | + | 0.831087i | ||||
\(33\) | 4.61854 | + | 0.782196i | 0.803984 | + | 0.136163i | ||||
\(34\) | 6.56256 | − | 2.03674i | 1.12547 | − | 0.349298i | ||||
\(35\) | 1.48831 | + | 2.57783i | 0.251570 | + | 0.435732i | ||||
\(36\) | −3.41917 | + | 4.93044i | −0.569862 | + | 0.821741i | ||||
\(37\) | −3.86074 | + | 6.68701i | −0.634703 | + | 1.09934i | 0.351876 | + | 0.936047i | \(0.385544\pi\) |
−0.986578 | + | 0.163290i | \(0.947789\pi\) | |||||||
\(38\) | −1.96525 | + | 8.67963i | −0.318806 | + | 1.40802i | ||||
\(39\) | −0.0532456 | − | 7.87088i | −0.00852612 | − | 1.26035i | ||||
\(40\) | −4.27671 | − | 4.79563i | −0.676207 | − | 0.758255i | ||||
\(41\) | 1.35861 | + | 3.73275i | 0.212179 | + | 0.582958i | 0.999433 | − | 0.0336714i | \(-0.0107200\pi\) |
−0.787254 | + | 0.616629i | \(0.788498\pi\) | |||||||
\(42\) | −1.22149 | + | 2.96792i | −0.188479 | + | 0.457959i | ||||
\(43\) | 8.37644 | − | 1.47699i | 1.27739 | − | 0.225239i | 0.506521 | − | 0.862228i | \(-0.330931\pi\) |
0.770873 | + | 0.636988i | \(0.219820\pi\) | |||||||
\(44\) | −5.23705 | + | 1.35286i | −0.789515 | + | 0.203951i | ||||
\(45\) | −4.45107 | − | 5.16113i | −0.663526 | − | 0.769376i | ||||
\(46\) | −3.55932 | + | 0.452305i | −0.524793 | + | 0.0666887i | ||||
\(47\) | 9.17264 | − | 7.69676i | 1.33797 | − | 1.12269i | 0.355824 | − | 0.934553i | \(-0.384200\pi\) |
0.982143 | − | 0.188135i | \(-0.0602443\pi\) | |||||||
\(48\) | 1.27967 | − | 6.80900i | 0.184705 | − | 0.982794i | ||||
\(49\) | 0.917425 | − | 5.20298i | 0.131061 | − | 0.743282i | ||||
\(50\) | 0.202474 | − | 0.104246i | 0.0286342 | − | 0.0147426i | ||||
\(51\) | −6.41003 | + | 5.45297i | −0.897583 | + | 0.763568i | ||||
\(52\) | 3.76675 | + | 8.27142i | 0.522355 | + | 1.14704i | ||||
\(53\) | − | 3.84281i | − | 0.527851i | −0.964543 | − | 0.263925i | \(-0.914983\pi\) | ||
0.964543 | − | 0.263925i | \(-0.0850173\pi\) | |||||||
\(54\) | 1.47700 | − | 7.19850i | 0.200994 | − | 0.979592i | ||||
\(55\) | − | 6.14402i | − | 0.828460i | ||||||
\(56\) | −0.111646 | − | 3.70427i | −0.0149193 | − | 0.495004i | ||||
\(57\) | −1.96523 | − | 10.7208i | −0.260301 | − | 1.42000i | ||||
\(58\) | −3.18837 | − | 6.19270i | −0.418654 | − | 0.813142i | ||||
\(59\) | −1.99002 | + | 11.2860i | −0.259079 | + | 1.46931i | 0.526303 | + | 0.850297i | \(0.323578\pi\) |
−0.785382 | + | 0.619011i | \(0.787534\pi\) | |||||||
\(60\) | 7.12493 | + | 3.34183i | 0.919824 | + | 0.431429i | ||||
\(61\) | 0.0301227 | − | 0.0252759i | 0.00385681 | − | 0.00323625i | −0.640857 | − | 0.767660i | \(-0.721421\pi\) |
0.644714 | + | 0.764424i | \(0.276976\pi\) | |||||||
\(62\) | −0.521117 | − | 4.10082i | −0.0661820 | − | 0.520805i | ||||
\(63\) | −0.0531798 | − | 3.93039i | −0.00670002 | − | 0.495183i | ||||
\(64\) | 1.86114 | + | 7.78050i | 0.232643 | + | 0.972562i | ||||
\(65\) | −10.1670 | + | 1.79271i | −1.26106 | + | 0.222359i | ||||
\(66\) | 5.24651 | − | 4.04469i | 0.645801 | − | 0.497867i | ||||
\(67\) | 4.08179 | + | 11.2146i | 0.498670 | + | 1.37008i | 0.892561 | + | 0.450927i | \(0.148907\pi\) |
−0.393891 | + | 0.919157i | \(0.628871\pi\) | |||||||
\(68\) | 4.18593 | − | 8.76978i | 0.507619 | − | 1.06349i | ||||
\(69\) | 3.79064 | − | 2.22285i | 0.456339 | − | 0.267600i | ||||
\(70\) | 4.10565 | + | 0.929606i | 0.490719 | + | 0.111109i | ||||
\(71\) | 1.22570 | − | 2.12297i | 0.145463 | − | 0.251950i | −0.784082 | − | 0.620657i | \(-0.786866\pi\) |
0.929546 | + | 0.368707i | \(0.120199\pi\) | |||||||
\(72\) | 1.83677 | + | 8.28410i | 0.216466 | + | 0.976290i | ||||
\(73\) | 3.09175 | + | 5.35507i | 0.361862 | + | 0.626764i | 0.988267 | − | 0.152734i | \(-0.0488077\pi\) |
−0.626405 | + | 0.779498i | \(0.715474\pi\) | |||||||
\(74\) | 3.23675 | + | 10.4291i | 0.376265 | + | 1.21236i | ||||
\(75\) | −0.177835 | + | 0.214870i | −0.0205346 | + | 0.0248111i | ||||
\(76\) | 7.12569 | + | 10.3741i | 0.817372 | + | 1.18999i | ||||
\(77\) | 2.27775 | − | 2.71452i | 0.259574 | − | 0.309348i | ||||
\(78\) | −8.22390 | − | 7.50164i | −0.931174 | − | 0.849393i | ||||
\(79\) | 2.06018 | − | 5.66029i | 0.231788 | − | 0.636833i | −0.768206 | − | 0.640203i | \(-0.778850\pi\) |
0.999994 | + | 0.00336970i | \(0.00107261\pi\) | |||||||
\(80\) | −9.08569 | − | 0.163591i | −1.01581 | − | 0.0182900i | ||||
\(81\) | 1.80206 | + | 8.81774i | 0.200229 | + | 0.979749i | ||||
\(82\) | 5.18035 | + | 2.17314i | 0.572074 | + | 0.239983i | ||||
\(83\) | −8.97051 | − | 3.26500i | −0.984641 | − | 0.358380i | −0.200998 | − | 0.979592i | \(-0.564419\pi\) |
−0.783643 | + | 0.621211i | \(0.786641\pi\) | |||||||
\(84\) | 1.90899 | + | 4.11787i | 0.208288 | + | 0.449296i | ||||
\(85\) | 8.45570 | + | 7.09518i | 0.917150 | + | 0.769580i | ||||
\(86\) | 6.50867 | − | 10.1158i | 0.701848 | − | 1.09082i | ||||
\(87\) | 6.57184 | + | 5.43910i | 0.704576 | + | 0.583133i | ||||
\(88\) | −3.62341 | + | 6.73682i | −0.386257 | + | 0.718148i | ||||
\(89\) | −5.99050 | + | 3.45862i | −0.634991 | + | 0.366613i | −0.782683 | − | 0.622421i | \(-0.786149\pi\) |
0.147691 | + | 0.989034i | \(0.452816\pi\) | |||||||
\(90\) | −9.63262 | − | 0.333465i | −1.01537 | − | 0.0351503i | ||||
\(91\) | −5.15653 | − | 2.97713i | −0.540552 | − | 0.312088i | ||||
\(92\) | −2.94769 | + | 4.13011i | −0.307318 | + | 0.430593i | ||||
\(93\) | 2.56103 | + | 4.36733i | 0.265566 | + | 0.452871i | ||||
\(94\) | 0.814780 | − | 16.9142i | 0.0840382 | − | 1.74457i | ||||
\(95\) | −13.4337 | + | 4.88948i | −1.37827 | + | 0.501650i | ||||
\(96\) | −5.84154 | − | 7.86616i | −0.596200 | − | 0.802836i | ||||
\(97\) | −1.52040 | − | 8.62260i | −0.154373 | − | 0.875493i | −0.959357 | − | 0.282196i | \(-0.908937\pi\) |
0.804984 | − | 0.593297i | \(-0.202174\pi\) | |||||||
\(98\) | −4.52172 | − | 5.94806i | −0.456762 | − | 0.600844i | ||||
\(99\) | −3.96129 | + | 7.08070i | −0.398125 | + | 0.711637i | ||||
\(100\) | 0.0861535 | − | 0.310328i | 0.00861535 | − | 0.0310328i | ||||
\(101\) | 1.41538 | + | 1.68678i | 0.140835 | + | 0.167841i | 0.831851 | − | 0.554998i | \(-0.187281\pi\) |
−0.691016 | + | 0.722839i | \(0.742837\pi\) | |||||||
\(102\) | −0.492218 | + | 11.8914i | −0.0487368 | + | 1.17742i | ||||
\(103\) | 1.93720 | + | 0.341580i | 0.190878 | + | 0.0336569i | 0.268270 | − | 0.963344i | \(-0.413548\pi\) |
−0.0773920 | + | 0.997001i | \(0.524659\pi\) | |||||||
\(104\) | 12.2052 | + | 4.03025i | 1.19682 | + | 0.395199i | ||||
\(105\) | −5.07115 | + | 0.929596i | −0.494894 | + | 0.0907193i | ||||
\(106\) | −3.99021 | − | 3.68953i | −0.387563 | − | 0.358359i | ||||
\(107\) | 4.06709 | 0.393180 | 0.196590 | − | 0.980486i | \(-0.437013\pi\) | ||||
0.196590 | + | 0.980486i | \(0.437013\pi\) | |||||||
\(108\) | −6.05653 | − | 8.44502i | −0.582790 | − | 0.812623i | ||||
\(109\) | −1.81021 | −0.173387 | −0.0866934 | − | 0.996235i | \(-0.527630\pi\) | ||||
−0.0866934 | + | 0.996235i | \(0.527630\pi\) | |||||||
\(110\) | −6.37969 | − | 5.89895i | −0.608279 | − | 0.562443i | ||||
\(111\) | −8.66576 | − | 10.1867i | −0.822517 | − | 0.966879i | ||||
\(112\) | −3.95354 | − | 3.44058i | −0.373575 | − | 0.325105i | ||||
\(113\) | 3.45706 | + | 0.609573i | 0.325213 | + | 0.0573438i | 0.333871 | − | 0.942619i | \(-0.391645\pi\) |
−0.00865836 | + | 0.999963i | \(0.502756\pi\) | |||||||
\(114\) | −13.0188 | − | 8.25254i | −1.21933 | − | 0.772921i | ||||
\(115\) | −3.70481 | − | 4.41522i | −0.345475 | − | 0.411722i | ||||
\(116\) | −9.49143 | − | 2.63502i | −0.881257 | − | 0.244655i | ||||
\(117\) | 12.8728 | + | 4.48904i | 1.19009 | + | 0.415012i | ||||
\(118\) | 9.80822 | + | 12.9021i | 0.902920 | + | 1.18774i | ||||
\(119\) | 1.10548 | + | 6.26951i | 0.101340 | + | 0.574725i | ||||
\(120\) | 10.3107 | − | 4.18968i | 0.941237 | − | 0.382464i | ||||
\(121\) | 3.46349 | − | 1.26061i | 0.314862 | − | 0.114601i | ||||
\(122\) | 0.00267571 | − | 0.0555458i | 0.000242248 | − | 0.00502888i | ||||
\(123\) | −6.88009 | + | 0.0465430i | −0.620357 | + | 0.00419664i | ||||
\(124\) | −4.75845 | − | 3.39614i | −0.427321 | − | 0.304983i | ||||
\(125\) | −9.52032 | − | 5.49656i | −0.851523 | − | 0.491627i | ||||
\(126\) | −4.13221 | − | 3.71840i | −0.368127 | − | 0.331261i | ||||
\(127\) | −9.71588 | + | 5.60947i | −0.862145 | + | 0.497760i | −0.864730 | − | 0.502237i | \(-0.832511\pi\) |
0.00258477 | + | 0.999997i | \(0.499177\pi\) | |||||||
\(128\) | 9.86584 | + | 5.53762i | 0.872025 | + | 0.489461i | ||||
\(129\) | −2.46002 | + | 14.5254i | −0.216593 | + | 1.27889i | ||||
\(130\) | −7.89997 | + | 12.2782i | −0.692873 | + | 1.07687i | ||||
\(131\) | 3.93034 | + | 3.29795i | 0.343396 | + | 0.288143i | 0.798132 | − | 0.602483i | \(-0.205822\pi\) |
−0.454736 | + | 0.890626i | \(0.650266\pi\) | |||||||
\(132\) | 0.837403 | − | 9.33111i | 0.0728866 | − | 0.812169i | ||||
\(133\) | −7.74788 | − | 2.82000i | −0.671827 | − | 0.244525i | ||||
\(134\) | 15.5638 | + | 6.52894i | 1.34450 | + | 0.564015i | ||||
\(135\) | 11.0085 | − | 4.26167i | 0.947457 | − | 0.366786i | ||||
\(136\) | −5.08720 | − | 12.7665i | −0.436224 | − | 1.09472i | ||||
\(137\) | −0.618497 | + | 1.69931i | −0.0528418 | + | 0.145182i | −0.963306 | − | 0.268407i | \(-0.913503\pi\) |
0.910464 | + | 0.413589i | \(0.135725\pi\) | |||||||
\(138\) | 1.33132 | − | 6.07022i | 0.113330 | − | 0.516731i | ||||
\(139\) | −8.35679 | + | 9.95924i | −0.708814 | + | 0.844732i | −0.993493 | − | 0.113891i | \(-0.963668\pi\) |
0.284679 | + | 0.958623i | \(0.408113\pi\) | |||||||
\(140\) | 4.90714 | − | 3.37060i | 0.414729 | − | 0.284868i | ||||
\(141\) | 7.22505 | + | 19.4405i | 0.608459 | + | 1.63718i | ||||
\(142\) | −1.02759 | − | 3.31100i | −0.0862336 | − | 0.277853i | ||||
\(143\) | 6.14507 | + | 10.6436i | 0.513877 | + | 0.890061i | ||||
\(144\) | 10.3654 | + | 6.04643i | 0.863780 | + | 0.503869i | ||||
\(145\) | 5.59452 | − | 9.68999i | 0.464599 | − | 0.804710i | ||||
\(146\) | 8.52891 | + | 1.93113i | 0.705858 | + | 0.159821i | ||||
\(147\) | 7.95563 | + | 4.52171i | 0.656169 | + | 0.372944i | ||||
\(148\) | 13.9368 | + | 6.65221i | 1.14560 | + | 0.546808i | ||||
\(149\) | −0.880225 | − | 2.41840i | −0.0721108 | − | 0.198123i | 0.898401 | − | 0.439176i | \(-0.144729\pi\) |
−0.970512 | + | 0.241053i | \(0.922507\pi\) | |||||||
\(150\) | 0.0523710 | + | 0.390955i | 0.00427607 | + | 0.0319214i | ||||
\(151\) | −5.17039 | + | 0.911679i | −0.420760 | + | 0.0741914i | −0.380020 | − | 0.924978i | \(-0.624083\pi\) |
−0.0407405 | + | 0.999170i | \(0.512972\pi\) | |||||||
\(152\) | 17.6134 | + | 2.56125i | 1.42864 | + | 0.207744i | ||||
\(153\) | −5.17026 | − | 13.6286i | −0.417991 | − | 1.10181i | ||||
\(154\) | −0.631743 | − | 4.97136i | −0.0509073 | − | 0.400604i | ||||
\(155\) | 5.08694 | − | 4.26845i | 0.408593 | − | 0.342850i | ||||
\(156\) | −15.6852 | + | 1.33693i | −1.25582 | + | 0.107040i | ||||
\(157\) | 3.62805 | − | 20.5757i | 0.289550 | − | 1.64212i | −0.399015 | − | 0.916945i | \(-0.630648\pi\) |
0.688565 | − | 0.725175i | \(-0.258241\pi\) | |||||||
\(158\) | −3.89940 | − | 7.57372i | −0.310220 | − | 0.602533i | ||||
\(159\) | 6.26980 | + | 2.23411i | 0.497227 | + | 0.177176i | ||||
\(160\) | −8.89315 | + | 9.27712i | −0.703065 | + | 0.733421i | ||||
\(161\) | − | 3.32418i | − | 0.261982i | ||||||
\(162\) | 10.8861 | + | 6.59483i | 0.855296 | + | 0.518139i | ||||
\(163\) | − | 3.28308i | − | 0.257151i | −0.991700 | − | 0.128575i | \(-0.958960\pi\) | ||
0.991700 | − | 0.128575i | \(-0.0410404\pi\) | |||||||
\(164\) | 7.23021 | − | 3.29259i | 0.564584 | − | 0.257108i | ||||
\(165\) | 10.0244 | + | 3.57196i | 0.780396 | + | 0.278077i | ||||
\(166\) | −12.0029 | + | 6.17983i | −0.931608 | + | 0.479647i | ||||
\(167\) | 3.32534 | − | 18.8590i | 0.257323 | − | 1.45935i | −0.532717 | − | 0.846294i | \(-0.678829\pi\) |
0.790039 | − | 0.613056i | \(-0.210060\pi\) | |||||||
\(168\) | 6.10866 | + | 1.97140i | 0.471294 | + | 0.152097i | ||||
\(169\) | 5.86116 | − | 4.91809i | 0.450858 | − | 0.378315i | ||||
\(170\) | 15.4857 | − | 1.96787i | 1.18770 | − | 0.150929i | ||||
\(171\) | 18.6342 | + | 3.02636i | 1.42499 | + | 0.231432i | ||||
\(172\) | −4.25476 | − | 16.4706i | −0.324423 | − | 1.25587i | ||||
\(173\) | −8.60928 | + | 1.51805i | −0.654551 | + | 0.115415i | −0.491055 | − | 0.871129i | \(-0.663388\pi\) |
−0.163497 | + | 0.986544i | \(0.552277\pi\) | |||||||
\(174\) | 11.9574 | − | 1.60177i | 0.906491 | − | 0.121430i | ||||
\(175\) | 0.0721639 | + | 0.198269i | 0.00545508 | + | 0.0149877i | ||||
\(176\) | 3.51635 | + | 10.2305i | 0.265055 | + | 0.771153i | ||||
\(177\) | −17.2569 | − | 9.80820i | −1.29710 | − | 0.737230i | ||||
\(178\) | −2.16027 | + | 9.54093i | −0.161919 | + | 0.715123i | ||||
\(179\) | −3.03371 | + | 5.25454i | −0.226750 | + | 0.392743i | −0.956843 | − | 0.290605i | \(-0.906143\pi\) |
0.730093 | + | 0.683348i | \(0.239477\pi\) | |||||||
\(180\) | −9.59465 | + | 9.68193i | −0.715143 | + | 0.721649i | ||||
\(181\) | −8.01419 | − | 13.8810i | −0.595690 | − | 1.03177i | −0.993449 | − | 0.114276i | \(-0.963545\pi\) |
0.397759 | − | 0.917490i | \(-0.369788\pi\) | |||||||
\(182\) | −8.04217 | + | 2.49595i | −0.596125 | + | 0.185012i | ||||
\(183\) | 0.0237268 | + | 0.0638418i | 0.00175394 | + | 0.00471932i | ||||
\(184\) | 1.45841 | + | 7.02612i | 0.107515 | + | 0.517972i | ||||
\(185\) | −11.2755 | + | 13.4377i | −0.828993 | + | 0.987956i | ||||
\(186\) | 6.99372 | + | 1.53387i | 0.512805 | + | 0.112469i | ||||
\(187\) | 4.49432 | − | 12.3480i | 0.328657 | − | 0.902977i | ||||
\(188\) | −16.7807 | − | 17.0856i | −1.22386 | − | 1.24609i | ||||
\(189\) | 6.44361 | + | 2.19826i | 0.468704 | + | 0.159900i | ||||
\(190\) | −7.82087 | + | 18.6435i | −0.567385 | + | 1.35254i | ||||
\(191\) | −10.9918 | − | 4.00067i | −0.795335 | − | 0.289478i | −0.0877833 | − | 0.996140i | \(-0.527978\pi\) |
−0.707552 | + | 0.706661i | \(0.750201\pi\) | |||||||
\(192\) | −13.7764 | − | 1.48679i | −0.994227 | − | 0.107300i | ||||
\(193\) | 13.4605 | + | 11.2947i | 0.968907 | + | 0.813010i | 0.982379 | − | 0.186900i | \(-0.0598439\pi\) |
−0.0134718 | + | 0.999909i | \(0.504288\pi\) | |||||||
\(194\) | −10.4131 | − | 6.69995i | −0.747616 | − | 0.481028i | ||||
\(195\) | 2.98588 | − | 17.6303i | 0.213823 | − | 1.26254i | ||||
\(196\) | −10.5176 | − | 1.01565i | −0.751254 | − | 0.0725461i | ||||
\(197\) | 19.9607 | − | 11.5243i | 1.42214 | − | 0.821074i | 0.425660 | − | 0.904883i | \(-0.360042\pi\) |
0.996482 | + | 0.0838089i | \(0.0267085\pi\) | |||||||
\(198\) | 3.54900 | + | 10.9115i | 0.252217 | + | 0.775446i | ||||
\(199\) | −2.70763 | − | 1.56325i | −0.191939 | − | 0.110816i | 0.400951 | − | 0.916099i | \(-0.368680\pi\) |
−0.592890 | + | 0.805284i | \(0.702013\pi\) | |||||||
\(200\) | −0.239514 | − | 0.387408i | −0.0169362 | − | 0.0273939i | ||||
\(201\) | −20.6704 | + | 0.139833i | −1.45798 | + | 0.00986307i | ||||
\(202\) | 3.11040 | + | 0.149832i | 0.218847 | + | 0.0105421i | ||||
\(203\) | 6.06408 | − | 2.20714i | 0.425615 | − | 0.154911i | ||||
\(204\) | 11.8749 | + | 11.9281i | 0.831408 | + | 0.835136i | ||||
\(205\) | 1.56705 | + | 8.88716i | 0.109447 | + | 0.620706i | ||||
\(206\) | 2.21461 | − | 1.68355i | 0.154299 | − | 0.117298i | ||||
\(207\) | 1.42295 | + | 7.47698i | 0.0989021 | + | 0.519686i | ||||
\(208\) | 15.9032 | − | 8.80385i | 1.10269 | − | 0.610437i | ||||
\(209\) | 10.9394 | + | 13.0371i | 0.756696 | + | 0.901795i | ||||
\(210\) | −3.90362 | + | 6.15818i | −0.269376 | + | 0.424955i | ||||
\(211\) | −12.6580 | − | 2.23195i | −0.871414 | − | 0.153654i | −0.279978 | − | 0.960006i | \(-0.590327\pi\) |
−0.591435 | + | 0.806353i | \(0.701438\pi\) | |||||||
\(212\) | −7.66210 | + | 0.600900i | −0.526235 | + | 0.0412700i | ||||
\(213\) | 2.75118 | + | 3.23404i | 0.188507 | + | 0.221593i | ||||
\(214\) | 3.90486 | − | 4.22309i | 0.266931 | − | 0.288685i | ||||
\(215\) | 19.3231 | 1.31782 | ||||||||
\(216\) | −14.5839 | − | 1.81933i | −0.992308 | − | 0.123790i | ||||
\(217\) | 3.82992 | 0.259992 | ||||||||
\(218\) | −1.73801 | + | 1.87965i | −0.117713 | + | 0.127306i | ||||
\(219\) | −10.5346 | + | 1.93111i | −0.711863 | + | 0.130492i | ||||
\(220\) | −12.2504 | + | 0.960739i | −0.825924 | + | 0.0647730i | ||||
\(221\) | −21.7446 | − | 3.83416i | −1.46270 | − | 0.257914i | ||||
\(222\) | −18.8975 | − | 0.782224i | −1.26832 | − | 0.0524994i | ||||
\(223\) | 6.64592 | + | 7.92030i | 0.445044 | + | 0.530382i | 0.941200 | − | 0.337851i | \(-0.109700\pi\) |
−0.496156 | + | 0.868233i | \(0.665256\pi\) | |||||||
\(224\) | −7.36840 | + | 0.801844i | −0.492322 | + | 0.0535754i | ||||
\(225\) | −0.247187 | − | 0.415069i | −0.0164791 | − | 0.0276712i | ||||
\(226\) | 3.95212 | − | 3.00440i | 0.262891 | − | 0.199850i | ||||
\(227\) | −0.0166779 | − | 0.0945849i | −0.00110695 | − | 0.00627782i | 0.984249 | − | 0.176786i | \(-0.0565701\pi\) |
−0.985356 | + | 0.170508i | \(0.945459\pi\) | |||||||
\(228\) | −21.0686 | + | 5.59484i | −1.39530 | + | 0.370527i | ||||
\(229\) | −25.2522 | + | 9.19106i | −1.66871 | + | 0.607363i | −0.991696 | − | 0.128603i | \(-0.958951\pi\) |
−0.677019 | + | 0.735966i | \(0.736728\pi\) | |||||||
\(230\) | −8.14161 | − | 0.392192i | −0.536842 | − | 0.0258604i | ||||
\(231\) | 3.10469 | + | 5.29445i | 0.204274 | + | 0.348349i | ||||
\(232\) | −11.8489 | + | 7.32558i | −0.777920 | + | 0.480948i | ||||
\(233\) | 6.26494 | + | 3.61706i | 0.410430 | + | 0.236962i | 0.690974 | − | 0.722879i | \(-0.257182\pi\) |
−0.280545 | + | 0.959841i | \(0.590515\pi\) | |||||||
\(234\) | 17.0206 | − | 9.05659i | 1.11267 | − | 0.592048i | ||||
\(235\) | 23.5581 | − | 13.6013i | 1.53676 | − | 0.887248i | ||||
\(236\) | 22.8140 | + | 2.20307i | 1.48507 | + | 0.143408i | ||||
\(237\) | 8.03741 | + | 6.65206i | 0.522086 | + | 0.432097i | ||||
\(238\) | 7.57138 | + | 4.87154i | 0.490779 | + | 0.315775i | ||||
\(239\) | −9.77252 | − | 8.20012i | −0.632132 | − | 0.530421i | 0.269459 | − | 0.963012i | \(-0.413155\pi\) |
−0.901591 | + | 0.432590i | \(0.857600\pi\) | |||||||
\(240\) | 5.54908 | − | 14.7288i | 0.358192 | − | 0.950739i | ||||
\(241\) | 7.11615 | + | 2.59007i | 0.458391 | + | 0.166841i | 0.560886 | − | 0.827893i | \(-0.310460\pi\) |
−0.102495 | + | 0.994733i | \(0.532683\pi\) | |||||||
\(242\) | 2.01638 | − | 4.80666i | 0.129618 | − | 0.308984i | ||||
\(243\) | −15.4344 | − | 2.18621i | −0.990117 | − | 0.140245i | ||||
\(244\) | −0.0551074 | − | 0.0561085i | −0.00352789 | − | 0.00359198i | ||||
\(245\) | 4.10507 | − | 11.2786i | 0.262263 | − | 0.720562i | ||||
\(246\) | −6.55733 | + | 7.18867i | −0.418080 | + | 0.458333i | ||||
\(247\) | 18.3816 | − | 21.9063i | 1.16959 | − | 1.39387i | ||||
\(248\) | −8.09505 | + | 1.68029i | −0.514036 | + | 0.106698i | ||||
\(249\) | 10.5423 | − | 12.7378i | 0.668089 | − | 0.807225i | ||||
\(250\) | −14.8480 | + | 4.60818i | −0.939068 | + | 0.291447i | ||||
\(251\) | −5.95007 | − | 10.3058i | −0.375565 | − | 0.650498i | 0.614846 | − | 0.788647i | \(-0.289218\pi\) |
−0.990411 | + | 0.138149i | \(0.955885\pi\) | |||||||
\(252\) | −7.82841 | + | 0.720629i | −0.493143 | + | 0.0453954i | ||||
\(253\) | −3.43072 | + | 5.94217i | −0.215687 | + | 0.373581i | ||||
\(254\) | −3.50371 | + | 15.4743i | −0.219842 | + | 0.970942i | ||||
\(255\) | −16.4922 | + | 9.67109i | −1.03278 | + | 0.605627i | ||||
\(256\) | 15.2223 | − | 4.92753i | 0.951396 | − | 0.307970i | ||||
\(257\) | −1.86711 | − | 5.12985i | −0.116467 | − | 0.319991i | 0.867738 | − | 0.497022i | \(-0.165573\pi\) |
−0.984205 | + | 0.177031i | \(0.943351\pi\) | |||||||
\(258\) | 12.7206 | + | 16.5004i | 0.791952 | + | 1.02727i | ||||
\(259\) | −9.96339 | + | 1.75681i | −0.619095 | + | 0.109163i | ||||
\(260\) | 5.16426 | + | 19.9914i | 0.320274 | + | 1.23981i | ||||
\(261\) | −12.6949 | + | 7.56025i | −0.785797 | + | 0.467968i | ||||
\(262\) | 7.19802 | − | 0.914698i | 0.444695 | − | 0.0565102i | ||||
\(263\) | −15.6031 | + | 13.0925i | −0.962128 | + | 0.807321i | −0.981298 | − | 0.192495i | \(-0.938342\pi\) |
0.0191703 | + | 0.999816i | \(0.493898\pi\) | |||||||
\(264\) | −8.88502 | − | 9.82843i | −0.546835 | − | 0.604898i | ||||
\(265\) | 1.51596 | − | 8.59743i | 0.0931247 | − | 0.528136i | ||||
\(266\) | −10.3670 | + | 5.33755i | −0.635642 | + | 0.327266i | ||||
\(267\) | −2.16025 | − | 11.7846i | −0.132205 | − | 0.721208i | ||||
\(268\) | 21.7223 | − | 9.89221i | 1.32690 | − | 0.604263i | ||||
\(269\) | 9.12305i | 0.556242i | 0.960546 | + | 0.278121i | \(0.0897116\pi\) | ||||
−0.960546 | + | 0.278121i | \(0.910288\pi\) | |||||||
\(270\) | 6.14421 | − | 15.5224i | 0.373925 | − | 0.944662i | ||||
\(271\) | 21.2629i | 1.29163i | 0.763495 | + | 0.645813i | \(0.223482\pi\) | ||||
−0.763495 | + | 0.645813i | \(0.776518\pi\) | |||||||
\(272\) | −18.1404 | − | 6.97491i | −1.09992 | − | 0.422916i | ||||
\(273\) | 7.85524 | − | 6.68240i | 0.475421 | − | 0.404437i | ||||
\(274\) | 1.17066 | + | 2.27374i | 0.0707222 | + | 0.137362i | ||||
\(275\) | 0.0756255 | − | 0.428894i | 0.00456039 | − | 0.0258633i | ||||
\(276\) | −5.02483 | − | 7.21048i | −0.302459 | − | 0.434020i | ||||
\(277\) | −19.5527 | + | 16.4067i | −1.17481 | + | 0.985783i | −0.174811 | + | 0.984602i | \(0.555931\pi\) |
−0.999999 | + | 0.00118043i | \(0.999624\pi\) | |||||||
\(278\) | 2.31779 | + | 18.2393i | 0.139012 | + | 1.09392i | ||||
\(279\) | −8.61450 | + | 1.63944i | −0.515737 | + | 0.0981506i | ||||
\(280\) | 1.21152 | − | 8.33152i | 0.0724023 | − | 0.497903i | ||||
\(281\) | 12.1392 | − | 2.14046i | 0.724162 | − | 0.127689i | 0.200595 | − | 0.979674i | \(-0.435712\pi\) |
0.523566 | + | 0.851985i | \(0.324601\pi\) | |||||||
\(282\) | 27.1230 | + | 11.1628i | 1.61515 | + | 0.664737i | ||||
\(283\) | 5.71416 | + | 15.6995i | 0.339672 | + | 0.933240i | 0.985488 | + | 0.169747i | \(0.0542951\pi\) |
−0.645816 | + | 0.763493i | \(0.723483\pi\) | |||||||
\(284\) | −4.42460 | − | 2.11192i | −0.262552 | − | 0.125319i | ||||
\(285\) | −0.167503 | − | 24.7606i | −0.00992201 | − | 1.46669i | ||||
\(286\) | 16.9518 | + | 3.83825i | 1.00238 | + | 0.226960i | ||||
\(287\) | −2.60236 | + | 4.50743i | −0.153613 | + | 0.266065i | ||||
\(288\) | 16.2303 | − | 4.95769i | 0.956377 | − | 0.292134i | ||||
\(289\) | 3.30388 | + | 5.72249i | 0.194346 | + | 0.336617i | ||||
\(290\) | −4.69030 | − | 15.1126i | −0.275424 | − | 0.887441i | ||||
\(291\) | 14.9523 | + | 2.53232i | 0.876517 | + | 0.148447i | ||||
\(292\) | 10.1939 | − | 7.00195i | 0.596553 | − | 0.409758i | ||||
\(293\) | 8.56800 | − | 10.2109i | 0.500548 | − | 0.596530i | −0.455319 | − | 0.890328i | \(-0.650475\pi\) |
0.955867 | + | 0.293798i | \(0.0949194\pi\) | |||||||
\(294\) | 12.3334 | − | 3.91944i | 0.719301 | − | 0.228586i | ||||
\(295\) | −8.90446 | + | 24.4648i | −0.518437 | + | 1.42440i | ||||
\(296\) | 20.2882 | − | 8.08448i | 1.17923 | − | 0.469901i | ||||
\(297\) | −9.24963 | − | 10.5796i | −0.536718 | − | 0.613892i | ||||
\(298\) | −3.35627 | − | 1.40794i | −0.194424 | − | 0.0815601i | ||||
\(299\) | 10.8340 | + | 3.94325i | 0.626546 | + | 0.228044i | ||||
\(300\) | 0.456233 | + | 0.320981i | 0.0263406 | + | 0.0185319i | ||||
\(301\) | 8.53722 | + | 7.16358i | 0.492077 | + | 0.412902i | ||||
\(302\) | −4.01750 | + | 6.24402i | −0.231181 | + | 0.359303i | ||||
\(303\) | −3.57496 | + | 1.32863i | −0.205376 | + | 0.0763280i | ||||
\(304\) | 19.5703 | − | 15.8299i | 1.12244 | − | 0.907909i | ||||
\(305\) | 0.0773639 | − | 0.0446661i | 0.00442984 | − | 0.00255757i | ||||
\(306\) | −19.1154 | − | 7.71639i | −1.09275 | − | 0.441117i | ||||
\(307\) | 18.8505 | + | 10.8833i | 1.07585 | + | 0.621144i | 0.929775 | − | 0.368129i | \(-0.120002\pi\) |
0.146078 | + | 0.989273i | \(0.453335\pi\) | |||||||
\(308\) | −5.76859 | − | 4.11709i | −0.328696 | − | 0.234593i | ||||
\(309\) | −1.68354 | + | 2.96208i | −0.0957734 | + | 0.168507i | ||||
\(310\) | 0.451859 | − | 9.38025i | 0.0256639 | − | 0.532763i | ||||
\(311\) | 13.4052 | − | 4.87909i | 0.760139 | − | 0.276668i | 0.0672731 | − | 0.997735i | \(-0.478570\pi\) |
0.692866 | + | 0.721067i | \(0.256348\pi\) | |||||||
\(312\) | −13.6714 | + | 17.5705i | −0.773990 | + | 0.994733i | ||||
\(313\) | 3.69449 | + | 20.9525i | 0.208825 | + | 1.18430i | 0.891307 | + | 0.453401i | \(0.149789\pi\) |
−0.682482 | + | 0.730902i | \(0.739099\pi\) | |||||||
\(314\) | −17.8816 | − | 23.5222i | −1.00912 | − | 1.32743i | ||||
\(315\) | 1.43153 | − | 8.81436i | 0.0806577 | − | 0.496633i | ||||
\(316\) | −11.6081 | − | 3.22265i | −0.653006 | − | 0.181288i | ||||
\(317\) | −4.33285 | − | 5.16369i | −0.243357 | − | 0.290022i | 0.630516 | − | 0.776177i | \(-0.282844\pi\) |
−0.873873 | + | 0.486155i | \(0.838399\pi\) | |||||||
\(318\) | 8.33951 | − | 4.36530i | 0.467656 | − | 0.244794i | ||||
\(319\) | −13.1178 | − | 2.31302i | −0.734454 | − | 0.129504i | ||||
\(320\) | 1.09455 | + | 18.1413i | 0.0611870 | + | 1.01413i | ||||
\(321\) | −2.36449 | + | 6.63572i | −0.131973 | + | 0.370370i | ||||
\(322\) | −3.45169 | − | 3.19159i | −0.192355 | − | 0.177860i | ||||
\(323\) | −30.5753 | −1.70125 | ||||||||
\(324\) | 17.2997 | − | 4.97192i | 0.961095 | − | 0.276218i | ||||
\(325\) | −0.731790 | −0.0405924 | ||||||||
\(326\) | −3.40901 | − | 3.15213i | −0.188808 | − | 0.174580i | ||||
\(327\) | 1.05241 | − | 2.95348i | 0.0581983 | − | 0.163328i | ||||
\(328\) | 3.52292 | − | 10.6688i | 0.194521 | − | 0.589085i | ||||
\(329\) | 15.4506 | + | 2.72437i | 0.851822 | + | 0.150199i | ||||
\(330\) | 13.3335 | − | 6.97939i | 0.733985 | − | 0.384203i | ||||
\(331\) | −15.5537 | − | 18.5362i | −0.854910 | − | 1.01884i | −0.999569 | − | 0.0293609i | \(-0.990653\pi\) |
0.144658 | − | 0.989482i | \(-0.453792\pi\) | |||||||
\(332\) | −5.10729 | + | 18.3966i | −0.280299 | + | 1.00965i | ||||
\(333\) | 21.6583 | − | 8.21649i | 1.18687 | − | 0.450261i | ||||
\(334\) | −16.3896 | − | 21.5596i | −0.896800 | − | 1.17969i | ||||
\(335\) | 4.70801 | + | 26.7004i | 0.257226 | + | 1.45880i | ||||
\(336\) | 7.91202 | − | 4.45021i | 0.431636 | − | 0.242779i | ||||
\(337\) | −20.5343 | + | 7.47387i | −1.11857 | + | 0.407127i | −0.834131 | − | 0.551566i | \(-0.814031\pi\) |
−0.284442 | + | 0.958693i | \(0.591808\pi\) | |||||||
\(338\) | 0.520630 | − | 10.8079i | 0.0283185 | − | 0.587872i | ||||
\(339\) | −3.00440 | + | 5.28603i | −0.163176 | + | 0.287098i | ||||
\(340\) | 12.8247 | − | 17.9691i | 0.695517 | − | 0.974512i | ||||
\(341\) | −6.84620 | − | 3.95266i | −0.370743 | − | 0.214048i | ||||
\(342\) | 21.0334 | − | 16.4433i | 1.13735 | − | 0.889151i | ||||
\(343\) | 13.9379 | − | 8.04707i | 0.752577 | − | 0.434501i | ||||
\(344\) | −21.1874 | − | 11.3957i | −1.14235 | − | 0.614415i | ||||
\(345\) | 9.35760 | − | 3.47775i | 0.503796 | − | 0.187236i | ||||
\(346\) | −6.68960 | + | 10.3970i | −0.359635 | + | 0.558946i | ||||
\(347\) | 9.92193 | + | 8.32549i | 0.532637 | + | 0.446936i | 0.869011 | − | 0.494793i | \(-0.164756\pi\) |
−0.336374 | + | 0.941729i | \(0.609201\pi\) | |||||||
\(348\) | 9.81726 | − | 13.9540i | 0.526260 | − | 0.748011i | ||||
\(349\) | 3.63433 | + | 1.32279i | 0.194541 | + | 0.0708071i | 0.437453 | − | 0.899241i | \(-0.355881\pi\) |
−0.242912 | + | 0.970048i | \(0.578103\pi\) | |||||||
\(350\) | 0.275159 | + | 0.115428i | 0.0147079 | + | 0.00616990i | ||||
\(351\) | −14.8081 | + | 18.3930i | −0.790396 | + | 0.981747i | ||||
\(352\) | 13.9990 | + | 6.17120i | 0.746149 | + | 0.328926i | ||||
\(353\) | −1.04065 | + | 2.85915i | −0.0553880 | + | 0.152177i | −0.964301 | − | 0.264808i | \(-0.914691\pi\) |
0.908913 | + | 0.416986i | \(0.136914\pi\) | |||||||
\(354\) | −26.7529 | + | 8.50180i | −1.42190 | + | 0.451866i | ||||
\(355\) | 3.57972 | − | 4.26614i | 0.189992 | − | 0.226423i | ||||
\(356\) | 7.83279 | + | 11.4035i | 0.415137 | + | 0.604384i | ||||
\(357\) | −10.8718 | − | 1.84125i | −0.575397 | − | 0.0974493i | ||||
\(358\) | 2.54339 | + | 8.19503i | 0.134422 | + | 0.433121i | ||||
\(359\) | −8.27544 | − | 14.3335i | −0.436761 | − | 0.756492i | 0.560676 | − | 0.828035i | \(-0.310541\pi\) |
−0.997438 | + | 0.0715425i | \(0.977208\pi\) | |||||||
\(360\) | 0.841362 | + | 19.2584i | 0.0443437 | + | 1.01501i | ||||
\(361\) | 10.2995 | − | 17.8393i | 0.542082 | − | 0.938913i | ||||
\(362\) | −22.1079 | − | 5.00571i | −1.16197 | − | 0.263094i | ||||
\(363\) | 0.0431856 | + | 6.38379i | 0.00226666 | + | 0.335062i | ||||
\(364\) | −5.12970 | + | 10.7470i | −0.268869 | + | 0.563297i | ||||
\(365\) | 4.80457 | + | 13.2005i | 0.251483 | + | 0.690944i | ||||
\(366\) | 0.0890710 | + | 0.0366584i | 0.00465582 | + | 0.00191616i | ||||
\(367\) | 2.17336 | − | 0.383223i | 0.113449 | − | 0.0200041i | −0.116636 | − | 0.993175i | \(-0.537211\pi\) |
0.230084 | + | 0.973171i | \(0.426100\pi\) | |||||||
\(368\) | 8.69586 | + | 5.23151i | 0.453303 | + | 0.272711i | ||||
\(369\) | 3.92396 | − | 11.2524i | 0.204273 | − | 0.585775i | ||||
\(370\) | 3.12731 | + | 24.6097i | 0.162581 | + | 1.27940i | ||||
\(371\) | 3.85707 | − | 3.23647i | 0.200249 | − | 0.168029i | ||||
\(372\) | 8.30746 | − | 5.78930i | 0.430722 | − | 0.300161i | ||||
\(373\) | −1.82112 | + | 10.3281i | −0.0942938 | + | 0.534767i | 0.900668 | + | 0.434509i | \(0.143078\pi\) |
−0.994961 | + | 0.100258i | \(0.968033\pi\) | |||||||
\(374\) | −8.50662 | − | 16.5222i | −0.439867 | − | 0.854342i | ||||
\(375\) | 14.5029 | − | 12.3375i | 0.748924 | − | 0.637105i | ||||
\(376\) | −33.8523 | + | 1.02030i | −1.74580 | + | 0.0526181i | ||||
\(377\) | 22.3819i | 1.15273i | ||||||||
\(378\) | 8.46917 | − | 4.58020i | 0.435607 | − | 0.235580i | ||||
\(379\) | 3.08694i | 0.158565i | 0.996852 | + | 0.0792826i | \(0.0252630\pi\) | ||||
−0.996852 | + | 0.0792826i | \(0.974737\pi\) | |||||||
\(380\) | 11.8497 | + | 26.0207i | 0.607874 | + | 1.33483i | ||||
\(381\) | −3.50367 | − | 19.1133i | −0.179498 | − | 0.979204i | ||||
\(382\) | −14.7074 | + | 7.57227i | −0.752498 | + | 0.387431i | ||||
\(383\) | −2.78976 | + | 15.8215i | −0.142550 | + | 0.808442i | 0.826752 | + | 0.562567i | \(0.190186\pi\) |
−0.969302 | + | 0.245875i | \(0.920925\pi\) | |||||||
\(384\) | −14.7707 | + | 12.8773i | −0.753765 | + | 0.657144i | ||||
\(385\) | 6.16682 | − | 5.17458i | 0.314290 | − | 0.263721i | ||||
\(386\) | 24.6515 | − | 3.13262i | 1.25473 | − | 0.159446i | ||||
\(387\) | −22.2689 | − | 12.4583i | −1.13199 | − | 0.633293i | ||||
\(388\) | −16.9547 | + | 4.37980i | −0.860743 | + | 0.222351i | ||||
\(389\) | 17.3835 | − | 3.06519i | 0.881381 | − | 0.155411i | 0.285399 | − | 0.958409i | \(-0.407874\pi\) |
0.595982 | + | 0.802998i | \(0.296763\pi\) | |||||||
\(390\) | −15.4398 | − | 20.0275i | −0.781825 | − | 1.01413i | ||||
\(391\) | −4.21609 | − | 11.5836i | −0.213217 | − | 0.585808i | ||||
\(392\) | −11.1526 | + | 9.94584i | −0.563293 | + | 0.502341i | ||||
\(393\) | −7.66581 | + | 4.49527i | −0.386689 | + | 0.226757i | ||||
\(394\) | 7.19816 | − | 31.7910i | 0.362638 | − | 1.60161i | ||||
\(395\) | 6.84213 | − | 11.8509i | 0.344265 | − | 0.596285i | ||||
\(396\) | 14.7375 | + | 6.79113i | 0.740586 | + | 0.341267i | ||||
\(397\) | 6.73828 | + | 11.6710i | 0.338185 | + | 0.585753i | 0.984091 | − | 0.177663i | \(-0.0568538\pi\) |
−0.645907 | + | 0.763416i | \(0.723520\pi\) | |||||||
\(398\) | −4.22284 | + | 1.31059i | −0.211672 | + | 0.0656939i | ||||
\(399\) | 9.10542 | − | 11.0017i | 0.455841 | − | 0.550774i | ||||
\(400\) | −0.632228 | − | 0.123254i | −0.0316114 | − | 0.00616268i | ||||
\(401\) | 4.34436 | − | 5.17741i | 0.216947 | − | 0.258547i | −0.646584 | − | 0.762842i | \(-0.723803\pi\) |
0.863531 | + | 0.504295i | \(0.168248\pi\) | |||||||
\(402\) | −19.7007 | + | 21.5975i | −0.982583 | + | 1.07719i | ||||
\(403\) | −4.54317 | + | 12.4823i | −0.226311 | + | 0.621785i | ||||
\(404\) | 3.14191 | − | 3.08585i | 0.156316 | − | 0.153527i | ||||
\(405\) | 0.553187 | + | 20.4386i | 0.0274881 | + | 1.01560i | ||||
\(406\) | 3.53039 | − | 8.41578i | 0.175210 | − | 0.417668i | ||||
\(407\) | 19.6233 | + | 7.14229i | 0.972689 | + | 0.354030i | ||||
\(408\) | 23.7869 | − | 0.878026i | 1.17763 | − | 0.0434688i | ||||
\(409\) | 14.4348 | + | 12.1122i | 0.713756 | + | 0.598912i | 0.925650 | − | 0.378381i | \(-0.123519\pi\) |
−0.211895 | + | 0.977293i | \(0.567963\pi\) | |||||||
\(410\) | 10.7326 | + | 6.90552i | 0.530045 | + | 0.341039i | ||||
\(411\) | −2.41295 | − | 1.99705i | −0.119022 | − | 0.0985071i | ||||
\(412\) | 0.378150 | − | 3.91595i | 0.0186301 | − | 0.192925i | ||||
\(413\) | −13.0039 | + | 7.50779i | −0.639879 | + | 0.369434i | ||||
\(414\) | 9.12996 | + | 5.70120i | 0.448713 | + | 0.280199i | ||||
\(415\) | −18.7815 | − | 10.8435i | −0.921947 | − | 0.532287i | ||||
\(416\) | 6.12731 | − | 24.9659i | 0.300416 | − | 1.22405i | ||||
\(417\) | −11.3907 | − | 19.4247i | −0.557807 | − | 0.951231i | ||||
\(418\) | 24.0402 | + | 1.15805i | 1.17585 | + | 0.0566420i | ||||
\(419\) | 17.9428 | − | 6.53066i | 0.876565 | − | 0.319043i | 0.135742 | − | 0.990744i | \(-0.456658\pi\) |
0.740823 | + | 0.671701i | \(0.234436\pi\) | |||||||
\(420\) | 2.64648 | + | 9.96590i | 0.129135 | + | 0.486286i | ||||
\(421\) | −3.91452 | − | 22.2004i | −0.190782 | − | 1.08198i | −0.918298 | − | 0.395889i | \(-0.870436\pi\) |
0.727516 | − | 0.686091i | \(-0.240675\pi\) | |||||||
\(422\) | −14.4707 | + | 11.0006i | −0.704421 | + | 0.535502i | ||||
\(423\) | −35.9188 | + | 0.485996i | −1.74643 | + | 0.0236299i | ||||
\(424\) | −6.73252 | + | 8.53292i | −0.326960 | + | 0.414395i | ||||
\(425\) | 0.502931 | + | 0.599370i | 0.0243957 | + | 0.0290737i | ||||
\(426\) | 5.99952 | + | 0.248338i | 0.290678 | + | 0.0120320i | ||||
\(427\) | 0.0507394 | + | 0.00894673i | 0.00245545 | + | 0.000432962i | ||||
\(428\) | −0.635970 | − | 8.10928i | −0.0307408 | − | 0.391977i | ||||
\(429\) | −20.9383 | + | 3.83821i | −1.01091 | + | 0.185310i | ||||
\(430\) | 18.5523 | − | 20.0642i | 0.894672 | − | 0.967584i | ||||
\(431\) | −10.8059 | −0.520500 | −0.260250 | − | 0.965541i | \(-0.583805\pi\) | ||||
−0.260250 | + | 0.965541i | \(0.583805\pi\) | |||||||
\(432\) | −15.8913 | + | 13.3965i | −0.764570 | + | 0.644541i | ||||
\(433\) | −37.5914 | −1.80653 | −0.903264 | − | 0.429084i | \(-0.858836\pi\) | ||||
−0.903264 | + | 0.429084i | \(0.858836\pi\) | |||||||
\(434\) | 3.67715 | − | 3.97682i | 0.176509 | − | 0.190893i | ||||
\(435\) | 12.5574 | + | 14.7613i | 0.602079 | + | 0.707751i | ||||
\(436\) | 0.283062 | + | 3.60934i | 0.0135562 | + | 0.172856i | ||||
\(437\) | 15.7226 | + | 2.77232i | 0.752114 | + | 0.132618i | ||||
\(438\) | −8.10923 | + | 12.7928i | −0.387474 | + | 0.611262i | ||||
\(439\) | 20.5267 | + | 24.4627i | 0.979685 | + | 1.16754i | 0.985862 | + | 0.167562i | \(0.0535893\pi\) |
−0.00617703 | + | 0.999981i | \(0.501966\pi\) | |||||||
\(440\) | −10.7642 | + | 13.6427i | −0.513163 | + | 0.650392i | ||||
\(441\) | −12.0026 | + | 10.3513i | −0.571555 | + | 0.492921i | ||||
\(442\) | −24.8585 | + | 18.8974i | −1.18240 | + | 0.898859i | ||||
\(443\) | −6.52594 | − | 37.0104i | −0.310057 | − | 1.75842i | −0.598691 | − | 0.800980i | \(-0.704312\pi\) |
0.288634 | − | 0.957439i | \(-0.406799\pi\) | |||||||
\(444\) | −18.9560 | + | 18.8714i | −0.899611 | + | 0.895595i | ||||
\(445\) | −14.7668 | + | 5.37468i | −0.700013 | + | 0.254784i | ||||
\(446\) | 14.6049 | + | 0.703538i | 0.691563 | + | 0.0333135i | ||||
\(447\) | 4.45751 | − | 0.0301546i | 0.210833 | − | 0.00142626i | ||||
\(448\) | −6.24189 | + | 8.42089i | −0.294902 | + | 0.397850i | ||||
\(449\) | −6.99926 | − | 4.04102i | −0.330315 | − | 0.190708i | 0.325666 | − | 0.945485i | \(-0.394412\pi\) |
−0.655981 | + | 0.754777i | \(0.727745\pi\) | |||||||
\(450\) | −0.668316 | − | 0.141844i | −0.0315047 | − | 0.00668659i | ||||
\(451\) | 9.30376 | − | 5.37153i | 0.438097 | − | 0.252935i | ||||
\(452\) | 0.674834 | − | 6.98827i | 0.0317415 | − | 0.328701i | ||||
\(453\) | 1.51846 | − | 8.96585i | 0.0713433 | − | 0.421252i | ||||
\(454\) | −0.114226 | − | 0.0734946i | −0.00536087 | − | 0.00344927i | ||||
\(455\) | −10.3621 | − | 8.69487i | −0.485785 | − | 0.407622i | ||||
\(456\) | −14.4188 | + | 27.2484i | −0.675222 | + | 1.27602i | ||||
\(457\) | 2.32495 | + | 0.846211i | 0.108756 | + | 0.0395841i | 0.395825 | − | 0.918326i | \(-0.370459\pi\) |
−0.287069 | + | 0.957910i | \(0.592681\pi\) | |||||||
\(458\) | −14.7014 | + | 35.0453i | −0.686950 | + | 1.63756i | ||||
\(459\) | 25.2418 | − | 0.512336i | 1.17819 | − | 0.0239138i | ||||
\(460\) | −8.22409 | + | 8.07735i | −0.383450 | + | 0.376608i | ||||
\(461\) | −3.09034 | + | 8.49063i | −0.143931 | + | 0.395448i | −0.990621 | − | 0.136639i | \(-0.956370\pi\) |
0.846690 | + | 0.532087i | \(0.178592\pi\) | |||||||
\(462\) | 8.47838 | + | 1.85948i | 0.394450 | + | 0.0865110i | ||||
\(463\) | 0.896443 | − | 1.06834i | 0.0416612 | − | 0.0496499i | −0.744811 | − | 0.667275i | \(-0.767461\pi\) |
0.786473 | + | 0.617625i | \(0.211905\pi\) | |||||||
\(464\) | −3.76973 | + | 19.3368i | −0.175005 | + | 0.897688i | ||||
\(465\) | 4.00685 | + | 10.7812i | 0.185813 | + | 0.499968i | ||||
\(466\) | 9.77085 | − | 3.03246i | 0.452626 | − | 0.140476i | ||||
\(467\) | −10.5492 | − | 18.2717i | −0.488158 | − | 0.845515i | 0.511749 | − | 0.859135i | \(-0.328998\pi\) |
−0.999907 | + | 0.0136203i | \(0.995664\pi\) | |||||||
\(468\) | 6.93768 | − | 26.3688i | 0.320694 | − | 1.21890i | ||||
\(469\) | −7.81850 | + | 13.5420i | −0.361025 | + | 0.625313i | ||||
\(470\) | 8.49542 | − | 37.5204i | 0.391865 | − | 1.73069i | ||||
\(471\) | 31.4614 | + | 17.8815i | 1.44966 | + | 0.823938i | ||||
\(472\) | 24.1916 | − | 21.5739i | 1.11351 | − | 0.993019i | ||||
\(473\) | −7.86763 | − | 21.6161i | −0.361754 | − | 0.993911i | ||||
\(474\) | 14.6240 | − | 1.95898i | 0.671704 | − | 0.0899790i | ||||
\(475\) | −0.997948 | + | 0.175965i | −0.0457890 | + | 0.00807383i | ||||
\(476\) | 12.3278 | − | 3.18456i | 0.565042 | − | 0.145964i | ||||
\(477\) | −7.29018 | + | 8.93074i | −0.333794 | + | 0.408911i | ||||
\(478\) | −17.8974 | + | 2.27433i | −0.818606 | + | 0.104025i | ||||
\(479\) | −11.1877 | + | 9.38756i | −0.511177 | + | 0.428928i | −0.861543 | − | 0.507684i | \(-0.830502\pi\) |
0.350366 | + | 0.936613i | \(0.386057\pi\) | |||||||
\(480\) | −9.96600 | − | 19.9032i | −0.454884 | − | 0.908453i | ||||
\(481\) | 6.09318 | − | 34.5561i | 0.277825 | − | 1.57562i | ||||
\(482\) | 9.52171 | − | 4.90235i | 0.433702 | − | 0.223296i | ||||
\(483\) | 5.42362 | + | 1.93259i | 0.246783 | + | 0.0879358i | ||||
\(484\) | −3.05508 | − | 6.70865i | −0.138867 | − | 0.304939i | ||||
\(485\) | − | 19.8909i | − | 0.903201i | ||||||
\(486\) | −17.0888 | + | 13.9274i | −0.775164 | + | 0.631760i | ||||
\(487\) | 0.282541i | 0.0128032i | 0.999980 | + | 0.00640158i | \(0.00203770\pi\) | ||||
−0.999980 | + | 0.00640158i | \(0.997962\pi\) | |||||||
\(488\) | −0.111170 | + | 0.00335064i | −0.00503242 | + | 0.000151676i | ||||
\(489\) | 5.35656 | + | 1.90869i | 0.242232 | + | 0.0863141i | ||||
\(490\) | −7.76987 | − | 15.0912i | −0.351007 | − | 0.681752i | ||||
\(491\) | 2.69135 | − | 15.2634i | 0.121459 | − | 0.688829i | −0.861889 | − | 0.507097i | \(-0.830719\pi\) |
0.983348 | − | 0.181732i | \(-0.0581703\pi\) | |||||||
\(492\) | 1.16864 | + | 13.7108i | 0.0526863 | + | 0.618130i | ||||
\(493\) | 18.3318 | − | 15.3822i | 0.825624 | − | 0.692781i | ||||
\(494\) | −5.09819 | − | 40.1191i | −0.229379 | − | 1.80505i | ||||
\(495\) | −11.6558 | + | 14.2788i | −0.523889 | + | 0.641783i | ||||
\(496\) | −6.02742 | + | 10.0188i | −0.270639 | + | 0.449858i | ||||
\(497\) | 3.16314 | − | 0.557747i | 0.141886 | − | 0.0250184i | ||||
\(498\) | −3.10462 | − | 23.1763i | −0.139121 | − | 1.03856i | ||||
\(499\) | −13.9873 | − | 38.4299i | −0.626159 | − | 1.72036i | −0.691385 | − | 0.722487i | \(-0.742999\pi\) |
0.0652259 | − | 0.997871i | \(-0.479223\pi\) | |||||||
\(500\) | −9.47078 | + | 19.8419i | −0.423546 | + | 0.887355i | ||||
\(501\) | 28.8364 | + | 16.3896i | 1.28831 | + | 0.732233i | ||||
\(502\) | −16.4139 | − | 3.71645i | −0.732587 | − | 0.165873i | ||||
\(503\) | 9.96192 | − | 17.2546i | 0.444180 | − | 0.769343i | −0.553815 | − | 0.832640i | \(-0.686828\pi\) |
0.997995 | + | 0.0632975i | \(0.0201617\pi\) | |||||||
\(504\) | −6.76788 | + | 8.82057i | −0.301465 | + | 0.392899i | ||||
\(505\) | 2.50117 | + | 4.33215i | 0.111301 | + | 0.192778i | ||||
\(506\) | 2.87623 | + | 9.26746i | 0.127864 | + | 0.411989i | ||||
\(507\) | 4.61668 | + | 12.4221i | 0.205034 | + | 0.551685i | ||||
\(508\) | 12.7039 | + | 18.4951i | 0.563643 | + | 0.820589i | ||||
\(509\) | 18.1997 | − | 21.6895i | 0.806686 | − | 0.961371i | −0.193118 | − | 0.981176i | \(-0.561860\pi\) |
0.999804 | + | 0.0198048i | \(0.00630449\pi\) | |||||||
\(510\) | −5.79228 | + | 26.4101i | −0.256486 | + | 1.16946i | ||||
\(511\) | −2.77103 | + | 7.61334i | −0.122583 | + | 0.336794i | ||||
\(512\) | 9.49862 | − | 20.5372i | 0.419783 | − | 0.907624i | ||||
\(513\) | −15.7711 | + | 28.6435i | −0.696312 | + | 1.26464i | ||||
\(514\) | −7.11925 | − | 2.98650i | −0.314017 | − | 0.131729i | ||||
\(515\) | 4.19929 | + | 1.52842i | 0.185043 | + | 0.0673502i | ||||
\(516\) | 29.3465 | + | 2.63365i | 1.29191 | + | 0.115940i | ||||
\(517\) | −24.8073 | − | 20.8158i | −1.09102 | − | 0.915476i | ||||
\(518\) | −7.74177 | + | 12.0323i | −0.340154 | + | 0.528669i | ||||
\(519\) | 2.52840 | − | 14.9292i | 0.110985 | − | 0.655317i | ||||
\(520\) | 25.7165 | + | 13.8316i | 1.12774 | + | 0.606558i | ||||
\(521\) | −18.4642 | + | 10.6603i | −0.808931 | + | 0.467036i | −0.846584 | − | 0.532255i | \(-0.821345\pi\) |
0.0376537 | + | 0.999291i | \(0.488012\pi\) | |||||||
\(522\) | −4.33832 | + | 20.4406i | −0.189883 | + | 0.894659i | ||||
\(523\) | 17.0213 | + | 9.82725i | 0.744289 | + | 0.429716i | 0.823627 | − | 0.567132i | \(-0.191947\pi\) |
−0.0793376 | + | 0.996848i | \(0.525281\pi\) | |||||||
\(524\) | 5.96112 | − | 8.35232i | 0.260413 | − | 0.364873i | ||||
\(525\) | −0.365442 | + | 0.00247218i | −0.0159492 | + | 0.000107895i | ||||
\(526\) | −1.38598 | + | 28.7719i | −0.0604315 | + | 1.25451i | ||||
\(527\) | 13.3459 | − | 4.85751i | 0.581356 | − | 0.211596i | ||||
\(528\) | −18.7360 | − | 0.210576i | −0.815381 | − | 0.00916414i | ||||
\(529\) | −2.87619 | − | 16.3117i | −0.125052 | − | 0.709205i | ||||
\(530\) | −7.47171 | − | 9.82861i | −0.324551 | − | 0.426927i | ||||
\(531\) | 26.0354 | − | 22.4535i | 1.12984 | − | 0.974398i | ||||
\(532\) | −4.41120 | + | 15.8893i | −0.191250 | + | 0.688888i | ||||
\(533\) | −11.6034 | − | 13.8283i | −0.502597 | − | 0.598972i | ||||
\(534\) | −14.3107 | − | 9.07146i | −0.619286 | − | 0.392560i | ||||
\(535\) | 9.09921 | + | 1.60444i | 0.393393 | + | 0.0693658i | ||||
\(536\) | 10.5842 | − | 32.0531i | 0.457168 | − | 1.38449i | ||||
\(537\) | −6.80942 | − | 8.00455i | −0.293848 | − | 0.345422i | ||||
\(538\) | 9.47298 | + | 8.75915i | 0.408409 | + | 0.377634i | ||||
\(539\) | −14.2884 | −0.615447 | ||||||||
\(540\) | −10.2186 | − | 21.2831i | −0.439740 | − | 0.915879i | ||||
\(541\) | 41.1619 | 1.76969 | 0.884844 | − | 0.465888i | \(-0.154265\pi\) | ||||
0.884844 | + | 0.465888i | \(0.154265\pi\) | |||||||
\(542\) | 22.0784 | + | 20.4147i | 0.948350 | + | 0.876888i | ||||
\(543\) | 27.3070 | − | 5.00566i | 1.17185 | − | 0.214813i | ||||
\(544\) | −24.6593 | + | 12.1395i | −1.05726 | + | 0.520478i | ||||
\(545\) | −4.04994 | − | 0.714115i | −0.173481 | − | 0.0305893i | ||||
\(546\) | 0.603194 | − | 14.5724i | 0.0258143 | − | 0.623641i | ||||
\(547\) | −4.66923 | − | 5.56458i | −0.199642 | − | 0.237924i | 0.656930 | − | 0.753952i | \(-0.271855\pi\) |
−0.856572 | + | 0.516027i | \(0.827410\pi\) | |||||||
\(548\) | 3.48492 | + | 0.967487i | 0.148869 | + | 0.0413290i | ||||
\(549\) | −0.117956 | + | 0.00159599i | −0.00503425 | + | 6.81154e-5i | ||||
\(550\) | −0.372736 | − | 0.490312i | −0.0158935 | − | 0.0209070i | ||||
\(551\) | 5.38192 | + | 30.5224i | 0.229277 | + | 1.30030i | ||||
\(552\) | −12.3115 | − | 1.70530i | −0.524010 | − | 0.0725823i | ||||
\(553\) | 7.41641 | − | 2.69935i | 0.315378 | − | 0.114788i | ||||
\(554\) | −1.73681 | + | 36.0550i | −0.0737902 | + | 1.53183i | ||||
\(555\) | −15.3691 | − | 26.2090i | −0.652383 | − | 1.11251i | ||||
\(556\) | 21.1643 | + | 15.1051i | 0.897564 | + | 0.640599i | ||||
\(557\) | 32.2123 | + | 18.5978i | 1.36488 | + | 0.788012i | 0.990268 | − | 0.139170i | \(-0.0444436\pi\) |
0.374609 | + | 0.927183i | \(0.377777\pi\) | |||||||
\(558\) | −6.56857 | + | 10.5190i | −0.278070 | + | 0.445304i | ||||
\(559\) | −33.4743 | + | 19.3264i | −1.41581 | + | 0.817419i | ||||
\(560\) | −7.48789 | − | 9.25718i | −0.316421 | − | 0.391187i | ||||
\(561\) | 17.5337 | + | 14.5116i | 0.740276 | + | 0.612679i | ||||
\(562\) | 9.43239 | − | 14.6599i | 0.397881 | − | 0.618389i | ||||
\(563\) | 34.0010 | + | 28.5303i | 1.43297 | + | 1.20241i | 0.943929 | + | 0.330148i | \(0.107099\pi\) |
0.489044 | + | 0.872259i | \(0.337346\pi\) | |||||||
\(564\) | 37.6321 | − | 17.4458i | 1.58460 | − | 0.734599i | ||||
\(565\) | 7.49393 | + | 2.72757i | 0.315272 | + | 0.114750i | ||||
\(566\) | 21.7879 | + | 9.13997i | 0.915816 | + | 0.384181i | ||||
\(567\) | −7.33274 | + | 9.23517i | −0.307946 | + | 0.387841i | ||||
\(568\) | −6.44104 | + | 2.56663i | −0.270260 | + | 0.107694i | ||||
\(569\) | −10.0872 | + | 27.7143i | −0.422877 | + | 1.16184i | 0.527176 | + | 0.849756i | \(0.323251\pi\) |
−0.950053 | + | 0.312089i | \(0.898971\pi\) | |||||||
\(570\) | −25.8712 | − | 23.5990i | −1.08362 | − | 0.988455i | ||||
\(571\) | 8.42058 | − | 10.0353i | 0.352390 | − | 0.419962i | −0.560508 | − | 0.828149i | \(-0.689394\pi\) |
0.912899 | + | 0.408187i | \(0.133839\pi\) | |||||||
\(572\) | 20.2611 | − | 13.9169i | 0.847159 | − | 0.581893i | ||||
\(573\) | 12.9177 | − | 15.6079i | 0.539643 | − | 0.652029i | ||||
\(574\) | 2.18176 | + | 7.02982i | 0.0910647 | + | 0.293419i | ||||
\(575\) | −0.204274 | − | 0.353814i | −0.00851883 | − | 0.0147550i | ||||
\(576\) | 10.4350 | − | 21.6127i | 0.434793 | − | 0.900531i | ||||
\(577\) | 2.02124 | − | 3.50090i | 0.0841455 | − | 0.145744i | −0.820881 | − | 0.571099i | \(-0.806517\pi\) |
0.905027 | + | 0.425355i | \(0.139851\pi\) | |||||||
\(578\) | 9.11409 | + | 2.06363i | 0.379096 | + | 0.0858355i | ||||
\(579\) | −26.2536 | + | 15.3952i | −1.09106 | + | 0.639805i | ||||
\(580\) | −20.1955 | − | 9.63956i | −0.838571 | − | 0.400261i | ||||
\(581\) | −4.27797 | − | 11.7536i | −0.177480 | − | 0.487622i | ||||
\(582\) | 16.9853 | − | 13.0945i | 0.704063 | − | 0.542783i | ||||
\(583\) | −10.2349 | + | 1.80469i | −0.423888 | + | 0.0747428i | ||||
\(584\) | 2.51677 | − | 17.3076i | 0.104145 | − | 0.716192i | ||||
\(585\) | 27.0292 | + | 15.1214i | 1.11752 | + | 0.625195i | ||||
\(586\) | −2.37637 | − | 18.7003i | −0.0981667 | − | 0.772502i | ||||
\(587\) | −5.57370 | + | 4.67689i | −0.230051 | + | 0.193036i | −0.750525 | − | 0.660842i | \(-0.770200\pi\) |
0.520474 | + | 0.853877i | \(0.325755\pi\) | |||||||
\(588\) | 7.77171 | − | 16.5696i | 0.320500 | − | 0.683319i | ||||
\(589\) | −3.19409 | + | 18.1146i | −0.131610 | + | 0.746399i | ||||
\(590\) | 16.8539 | + | 32.7349i | 0.693864 | + | 1.34768i | ||||
\(591\) | 7.19808 | + | 39.2671i | 0.296089 | + | 1.61523i | ||||
\(592\) | 11.0844 | − | 28.8284i | 0.455566 | − | 1.18484i | ||||
\(593\) | − | 2.93118i | − | 0.120369i | −0.998187 | − | 0.0601846i | \(-0.980831\pi\) | ||
0.998187 | − | 0.0601846i | \(-0.0191689\pi\) | |||||||
\(594\) | −19.8661 | − | 0.553210i | −0.815117 | − | 0.0226985i | ||||
\(595\) | 14.4627i | 0.592914i | ||||||||
\(596\) | −4.68435 | + | 2.13322i | −0.191878 | + | 0.0873803i | ||||
\(597\) | 4.12469 | − | 3.50884i | 0.168812 | − | 0.143607i | ||||
\(598\) | 14.4964 | − | 7.46359i | 0.592800 | − | 0.305209i | ||||
\(599\) | 0.235737 | − | 1.33693i | 0.00963195 | − | 0.0546255i | −0.979613 | − | 0.200894i | \(-0.935615\pi\) |
0.989245 | + | 0.146269i | \(0.0467264\pi\) | |||||||
\(600\) | 0.771328 | − | 0.165555i | 0.0314893 | − | 0.00675875i | ||||
\(601\) | 5.92810 | − | 4.97426i | 0.241812 | − | 0.202904i | −0.513825 | − | 0.857895i | \(-0.671772\pi\) |
0.755637 | + | 0.654991i | \(0.227327\pi\) | |||||||
\(602\) | 15.6350 | − | 1.98684i | 0.637236 | − | 0.0809777i | ||||
\(603\) | 11.7891 | − | 33.8065i | 0.480088 | − | 1.37671i | ||||
\(604\) | 2.62627 | + | 10.1666i | 0.106861 | + | 0.413672i | ||||
\(605\) | 8.24608 | − | 1.45401i | 0.335251 | − | 0.0591138i | ||||
\(606\) | −2.05276 | + | 4.98772i | −0.0833878 | + | 0.202612i | ||||
\(607\) | −3.90767 | − | 10.7362i | −0.158607 | − | 0.435770i | 0.834780 | − | 0.550584i | \(-0.185595\pi\) |
−0.993387 | + | 0.114814i | \(0.963373\pi\) | |||||||
\(608\) | 2.35260 | − | 35.5195i | 0.0954106 | − | 1.44051i | ||||
\(609\) | 0.0756119 | + | 11.1771i | 0.00306395 | + | 0.452919i | ||||
\(610\) | 0.0278987 | − | 0.123216i | 0.00112958 | − | 0.00498886i | ||||
\(611\) | −27.2072 | + | 47.1242i | −1.10068 | + | 1.90644i | ||||
\(612\) | −26.3653 | + | 12.4400i | −1.06575 | + | 0.502856i | ||||
\(613\) | −12.0261 | − | 20.8298i | −0.485729 | − | 0.841307i | 0.514137 | − | 0.857708i | \(-0.328112\pi\) |
−0.999865 | + | 0.0164015i | \(0.994779\pi\) | |||||||
\(614\) | 29.3993 | − | 9.12430i | 1.18646 | − | 0.368227i | ||||
\(615\) | −15.4110 | − | 2.61001i | −0.621432 | − | 0.105246i | ||||
\(616\) | −9.81350 | + | 2.03699i | −0.395397 | + | 0.0820726i | ||||
\(617\) | −31.0148 | + | 36.9620i | −1.24861 | + | 1.48803i | −0.441923 | + | 0.897053i | \(0.645704\pi\) |
−0.806685 | + | 0.590981i | \(0.798741\pi\) | |||||||
\(618\) | 1.45930 | + | 4.59205i | 0.0587018 | + | 0.184719i | ||||
\(619\) | 1.54241 | − | 4.23775i | 0.0619949 | − | 0.170329i | −0.904828 | − | 0.425777i | \(-0.860001\pi\) |
0.966823 | + | 0.255448i | \(0.0822229\pi\) | |||||||
\(620\) | −9.30621 | − | 9.47528i | −0.373747 | − | 0.380537i | ||||
\(621\) | −13.0264 | − | 2.02527i | −0.522733 | − | 0.0812711i | ||||
\(622\) | 7.80425 | − | 18.6038i | 0.312922 | − | 0.745946i | ||||
\(623\) | −8.51673 | − | 3.09983i | −0.341215 | − | 0.124192i | ||||
\(624\) | 5.11838 | + | 31.0654i | 0.204899 | + | 1.24361i | ||||
\(625\) | −19.7480 | − | 16.5706i | −0.789921 | − | 0.662823i | ||||
\(626\) | 25.3033 | + | 16.2805i | 1.01132 | + | 0.650700i | ||||
\(627\) | −27.6308 | + | 10.2690i | −1.10347 | + | 0.410104i | ||||
\(628\) | −41.5927 | − | 4.01647i | −1.65973 | − | 0.160275i | ||||
\(629\) | −32.4907 | + | 18.7585i | −1.29549 | + | 0.747951i | ||||
\(630\) | −7.77802 | − | 9.94921i | −0.309884 | − | 0.396386i | ||||
\(631\) | −9.73065 | − | 5.61799i | −0.387371 | − | 0.223649i | 0.293649 | − | 0.955913i | \(-0.405130\pi\) |
−0.681020 | + | 0.732264i | \(0.738464\pi\) | |||||||
\(632\) | −14.4913 | + | 8.95923i | −0.576434 | + | 0.356379i | ||||
\(633\) | 11.0006 | − | 19.3548i | 0.437234 | − | 0.769284i | ||||
\(634\) | −9.52178 | − | 0.458676i | −0.378158 | − | 0.0182164i | ||||
\(635\) | −23.9500 | + | 8.71709i | −0.950427 | + | 0.345927i | ||||
\(636\) | 3.47413 | − | 12.8506i | 0.137758 | − | 0.509558i | ||||
\(637\) | 4.16911 | + | 23.6442i | 0.165186 | + | 0.936817i | ||||
\(638\) | −14.9963 | + | 11.4002i | −0.593708 | + | 0.451337i | ||||
\(639\) | −6.87600 | + | 2.60854i | −0.272010 | + | 0.103192i | ||||
\(640\) | 19.8881 | + | 16.2812i | 0.786145 | + | 0.643570i | ||||
\(641\) | −26.0352 | − | 31.0276i | −1.02833 | − | 1.22551i | −0.973895 | − | 0.226998i | \(-0.927109\pi\) |
−0.0544338 | − | 0.998517i | \(-0.517335\pi\) | |||||||
\(642\) | 4.62007 | + | 8.82623i | 0.182340 | + | 0.348343i | ||||
\(643\) | −31.7725 | − | 5.60234i | −1.25298 | − | 0.220935i | −0.492512 | − | 0.870306i | \(-0.663921\pi\) |
−0.760472 | + | 0.649371i | \(0.775032\pi\) | |||||||
\(644\) | −6.62802 | + | 0.519802i | −0.261180 | + | 0.0204831i | ||||
\(645\) | −11.2339 | + | 31.5269i | −0.442334 | + | 1.24137i | ||||
\(646\) | −29.3557 | + | 31.7480i | −1.15498 | + | 1.24911i | ||||
\(647\) | 7.00490 | 0.275391 | 0.137696 | − | 0.990475i | \(-0.456030\pi\) | ||||
0.137696 | + | 0.990475i | \(0.456030\pi\) | |||||||
\(648\) | 11.4470 | − | 22.7369i | 0.449682 | − | 0.893189i | ||||
\(649\) | 30.9936 | 1.21660 | ||||||||
\(650\) | −0.702600 | + | 0.759859i | −0.0275582 | + | 0.0298041i | ||||
\(651\) | −2.22661 | + | 6.24876i | −0.0872676 | + | 0.244908i | ||||
\(652\) | −6.54607 | + | 0.513375i | −0.256364 | + | 0.0201053i | ||||
\(653\) | −34.5742 | − | 6.09636i | −1.35299 | − | 0.238569i | −0.550302 | − | 0.834966i | \(-0.685487\pi\) |
−0.802689 | + | 0.596397i | \(0.796598\pi\) | |||||||
\(654\) | −2.05634 | − | 3.92844i | −0.0804091 | − | 0.153614i | ||||
\(655\) | 7.49225 | + | 8.92892i | 0.292746 | + | 0.348882i | ||||
\(656\) | −7.69561 | − | 13.9013i | −0.300463 | − | 0.542754i | ||||
\(657\) | 2.97381 | − | 18.3106i | 0.116019 | − | 0.714365i | ||||
\(658\) | 17.6632 | − | 13.4276i | 0.688584 | − | 0.523462i | ||||
\(659\) | −1.55544 | − | 8.82132i | −0.0605912 | − | 0.343630i | −1.00000 | 0.000830029i | \(-0.999736\pi\) | |
0.939408 | − | 0.342800i | \(-0.111375\pi\) | |||||||
\(660\) | 5.55455 | − | 20.5459i | 0.216211 | − | 0.799749i | ||||
\(661\) | 33.4732 | − | 12.1833i | 1.30196 | − | 0.473874i | 0.404324 | − | 0.914616i | \(-0.367507\pi\) |
0.897634 | + | 0.440742i | \(0.145285\pi\) | |||||||
\(662\) | −34.1805 | − | 1.64652i | −1.32846 | − | 0.0639938i | ||||
\(663\) | 18.8974 | − | 33.2487i | 0.733914 | − | 1.29127i | ||||
\(664\) | 14.1987 | + | 22.9660i | 0.551017 | + | 0.891255i | ||||
\(665\) | −16.2217 | − | 9.36560i | −0.629050 | − | 0.363182i | ||||
\(666\) | 12.2628 | − | 30.3778i | 0.475172 | − | 1.17712i | ||||
\(667\) | −10.8214 | + | 6.24776i | −0.419008 | + | 0.241914i | ||||
\(668\) | −38.1224 | − | 3.68136i | −1.47500 | − | 0.142436i | ||||
\(669\) | −16.7862 | + | 6.23861i | −0.648993 | + | 0.241199i | ||||
\(670\) | 32.2448 | + | 20.7468i | 1.24573 | + | 0.801520i | ||||
\(671\) | −0.0814663 | − | 0.0683583i | −0.00314497 | − | 0.00263894i | ||||
\(672\) | 2.97552 | − | 12.4882i | 0.114783 | − | 0.481743i | ||||
\(673\) | 3.17294 | + | 1.15485i | 0.122308 | + | 0.0445164i | 0.402449 | − | 0.915442i | \(-0.368159\pi\) |
−0.280141 | + | 0.959959i | \(0.590381\pi\) | |||||||
\(674\) | −11.9547 | + | 28.4977i | −0.460477 | + | 1.09769i | ||||
\(675\) | 0.820919 | − | 0.161992i | 0.0315972 | − | 0.00623509i | ||||
\(676\) | −10.7226 | − | 10.9174i | −0.412407 | − | 0.419900i | ||||
\(677\) | 0.395252 | − | 1.08595i | 0.0151908 | − | 0.0417363i | −0.931865 | − | 0.362804i | \(-0.881819\pi\) |
0.947056 | + | 0.321068i | \(0.104042\pi\) | |||||||
\(678\) | 2.60423 | + | 8.19482i | 0.100015 | + | 0.314720i | ||||
\(679\) | 7.37410 | − | 8.78811i | 0.282992 | − | 0.337257i | ||||
\(680\) | −6.34520 | − | 30.5690i | −0.243327 | − | 1.17227i | ||||
\(681\) | 0.164018 | + | 0.0277780i | 0.00628517 | + | 0.00106446i | ||||
\(682\) | −10.6774 | + | 3.31381i | −0.408858 | + | 0.126892i | ||||
\(683\) | 21.5897 | + | 37.3945i | 0.826107 | + | 1.43086i | 0.901070 | + | 0.433673i | \(0.142783\pi\) |
−0.0749630 | + | 0.997186i | \(0.523884\pi\) | |||||||
\(684\) | 3.12037 | − | 37.6275i | 0.119310 | − | 1.43872i | ||||
\(685\) | −2.05411 | + | 3.55783i | −0.0784836 | + | 0.135938i | ||||
\(686\) | 5.02625 | − | 22.1986i | 0.191903 | − | 0.847548i | ||||
\(687\) | −0.314866 | − | 46.5441i | −0.0120129 | − | 1.77577i | ||||
\(688\) | −32.1751 | + | 11.0590i | −1.22666 | + | 0.421620i | ||||
\(689\) | 5.97274 | + | 16.4100i | 0.227543 | + | 0.625170i | ||||
\(690\) | 5.37320 | − | 13.0556i | 0.204554 | − | 0.497017i | ||||
\(691\) | −12.6458 | + | 2.22980i | −0.481070 | + | 0.0848255i | −0.408924 | − | 0.912569i | \(-0.634096\pi\) |
−0.0721458 | + | 0.997394i | \(0.522985\pi\) | |||||||
\(692\) | 4.37303 | + | 16.9285i | 0.166238 | + | 0.643524i | ||||
\(693\) | −10.4432 | + | 1.98746i | −0.396705 | + | 0.0754976i | ||||
\(694\) | 18.1710 | − | 2.30910i | 0.689761 | − | 0.0876523i | ||||
\(695\) | −22.6253 | + | 18.9849i | −0.858227 | + | 0.720138i | ||||
\(696\) | −5.06352 | − | 23.5912i | −0.191932 | − | 0.894222i | ||||
\(697\) | −3.35151 | + | 19.0074i | −0.126948 | + | 0.719956i | ||||
\(698\) | 4.86288 | − | 2.50370i | 0.184063 | − | 0.0947666i | ||||
\(699\) | −9.54374 | + | 8.11880i | −0.360977 | + | 0.307081i | ||||
\(700\) | 0.384039 | − | 0.174889i | 0.0145153 | − | 0.00661019i | ||||
\(701\) | 3.10248i | 0.117179i | 0.998282 | + | 0.0585896i | \(0.0186603\pi\) | ||||
−0.998282 | + | 0.0585896i | \(0.981340\pi\) | |||||||
\(702\) | 4.88113 | + | 33.0354i | 0.184227 | + | 1.24684i | ||||
\(703\) | − | 48.5896i | − | 1.83259i | ||||||
\(704\) | 19.8485 | − | 8.61091i | 0.748069 | − | 0.324536i | ||||
\(705\) | 8.49533 | + | 46.3439i | 0.319952 | + | 1.74541i | ||||
\(706\) | 1.96968 | + | 3.82567i | 0.0741300 | + | 0.143981i | ||||
\(707\) | −0.500991 | + | 2.84126i | −0.0188417 | + | 0.106857i | ||||
\(708\) | −16.8579 | + | 35.9418i | −0.633559 | + | 1.35077i | ||||
\(709\) | 7.39499 | − | 6.20513i | 0.277725 | − | 0.233039i | −0.493276 | − | 0.869873i | \(-0.664201\pi\) |
0.771001 | + | 0.636834i | \(0.219756\pi\) | |||||||
\(710\) | −0.992846 | − | 7.81299i | −0.0372609 | − | 0.293216i | ||||
\(711\) | −15.5260 | + | 9.24624i | −0.582270 | + | 0.346761i | ||||
\(712\) | 19.3613 | + | 2.81540i | 0.725594 | + | 0.105512i | ||||
\(713\) | −7.30325 | + | 1.28776i | −0.273509 | + | 0.0482270i | ||||
\(714\) | −12.3500 | + | 9.52101i | −0.462188 | + | 0.356315i | ||||
\(715\) | 9.54942 | + | 26.2368i | 0.357128 | + | 0.981201i | ||||
\(716\) | 10.9513 | + | 5.22720i | 0.409269 | + | 0.195350i | ||||
\(717\) | 19.0605 | − | 11.1772i | 0.711827 | − | 0.417420i | ||||
\(718\) | −22.8286 | − | 5.16889i | −0.851957 | − | 0.192901i | ||||
\(719\) | 20.9190 | − | 36.2327i | 0.780146 | − | 1.35125i | −0.151711 | − | 0.988425i | \(-0.548478\pi\) |
0.931856 | − | 0.362827i | \(-0.118188\pi\) | |||||||
\(720\) | 20.8049 | + | 17.6166i | 0.775353 | + | 0.656532i | ||||
\(721\) | 1.28869 | + | 2.23207i | 0.0479931 | + | 0.0831266i | ||||
\(722\) | −8.63488 | − | 27.8224i | −0.321357 | − | 1.03544i | ||||
\(723\) | −8.36299 | + | 10.1047i | −0.311023 | + | 0.375797i | ||||
\(724\) | −26.4238 | + | 18.1499i | −0.982033 | + | 0.674535i | ||||
\(725\) | 0.509807 | − | 0.607564i | 0.0189337 | − | 0.0225644i | ||||
\(726\) | 6.67011 | + | 6.08431i | 0.247551 | + | 0.225810i | ||||
\(727\) | −0.167774 | + | 0.460954i | −0.00622238 | + | 0.0170958i | −0.942765 | − | 0.333458i | \(-0.891784\pi\) |
0.936543 | + | 0.350554i | \(0.114007\pi\) | |||||||
\(728\) | 6.23417 | + | 15.6448i | 0.231054 | + | 0.579835i | ||||
\(729\) | 12.5401 | − | 23.9112i | 0.464447 | − | 0.885601i | ||||
\(730\) | 18.3197 | + | 7.68506i | 0.678043 | + | 0.284437i | ||||
\(731\) | 38.8348 | + | 14.1347i | 1.43636 | + | 0.522791i | ||||
\(732\) | 0.123583 | − | 0.0572913i | 0.00456774 | − | 0.00211755i | ||||
\(733\) | 22.4492 | + | 18.8371i | 0.829179 | + | 0.695764i | 0.955102 | − | 0.296276i | \(-0.0957448\pi\) |
−0.125923 | + | 0.992040i | \(0.540189\pi\) | |||||||
\(734\) | 1.68875 | − | 2.62466i | 0.0623330 | − | 0.0968781i | ||||
\(735\) | 16.0152 | + | 13.2547i | 0.590729 | + | 0.488909i | ||||
\(736\) | 13.7812 | − | 4.00657i | 0.507981 | − | 0.147684i | ||||
\(737\) | 27.9521 | − | 16.1381i | 1.02963 | − | 0.594456i | ||||
\(738\) | −7.91654 | − | 14.8780i | −0.291412 | − | 0.547667i | ||||
\(739\) | 34.8536 | + | 20.1228i | 1.28211 | + | 0.740227i | 0.977234 | − | 0.212164i | \(-0.0680512\pi\) |
0.304877 | + | 0.952392i | \(0.401384\pi\) | |||||||
\(740\) | 28.5562 | + | 20.3808i | 1.04975 | + | 0.749212i | ||||
\(741\) | 25.0550 | + | 42.7265i | 0.920420 | + | 1.56960i | ||||
\(742\) | 0.342613 | − | 7.11239i | 0.0125777 | − | 0.261104i | ||||
\(743\) | −36.9693 | + | 13.4557i | −1.35627 | + | 0.493643i | −0.914900 | − | 0.403680i | \(-0.867731\pi\) |
−0.441373 | + | 0.897324i | \(0.645509\pi\) | |||||||
\(744\) | 1.96474 | − | 14.1845i | 0.0720308 | − | 0.520028i | ||||
\(745\) | −1.01527 | − | 5.75787i | −0.0371965 | − | 0.210952i | ||||
\(746\) | 8.97574 | + | 11.8071i | 0.328625 | + | 0.432287i | ||||
\(747\) | 14.6536 | + | 24.6058i | 0.536146 | + | 0.900279i | ||||
\(748\) | −25.3232 | − | 7.03026i | −0.925909 | − | 0.257052i | ||||
\(749\) | 3.42536 | + | 4.08218i | 0.125160 | + | 0.149160i | ||||
\(750\) | 1.11366 | − | 26.9045i | 0.0406650 | − | 0.982413i | ||||
\(751\) | 27.0058 | + | 4.76186i | 0.985457 | + | 0.173763i | 0.643079 | − | 0.765800i | \(-0.277657\pi\) |
0.342378 | + | 0.939562i | \(0.388768\pi\) | |||||||
\(752\) | −31.4426 | + | 36.1304i | −1.14659 | + | 1.31754i | ||||
\(753\) | 20.2738 | − | 3.71641i | 0.738820 | − | 0.135433i | ||||
\(754\) | 23.2404 | + | 21.4891i | 0.846365 | + | 0.782588i | ||||
\(755\) | −11.9272 | −0.434077 | ||||||||
\(756\) | 3.37547 | − | 13.1915i | 0.122765 | − | 0.479771i | ||||
\(757\) | −13.2822 | −0.482750 | −0.241375 | − | 0.970432i | \(-0.577598\pi\) | ||||
−0.241375 | + | 0.970432i | \(0.577598\pi\) | |||||||
\(758\) | 3.20534 | + | 2.96380i | 0.116423 | + | 0.107650i | ||||
\(759\) | −7.70052 | − | 9.05206i | −0.279511 | − | 0.328569i | ||||
\(760\) | 38.3957 | + | 12.6786i | 1.39276 | + | 0.459900i | ||||
\(761\) | 12.6761 | + | 2.23515i | 0.459510 | + | 0.0810240i | 0.398611 | − | 0.917120i | \(-0.369492\pi\) |
0.0608985 | + | 0.998144i | \(0.480603\pi\) | |||||||
\(762\) | −23.2103 | − | 14.7128i | −0.840822 | − | 0.532990i | ||||
\(763\) | −1.52458 | − | 1.81693i | −0.0551937 | − | 0.0657772i | ||||
\(764\) | −6.25807 | + | 22.5418i | −0.226409 | + | 0.815534i | ||||
\(765\) | −6.19093 | − | 32.5305i | −0.223834 | − | 1.17614i | ||||
\(766\) | 13.7499 | + | 18.0872i | 0.496804 | + | 0.653517i | ||||
\(767\) | −9.04337 | − | 51.2875i | −0.326537 | − | 1.85188i | ||||
\(768\) | −0.810263 | + | 27.7010i | −0.0292378 | + | 0.999572i | ||||
\(769\) | −27.3171 | + | 9.94262i | −0.985080 | + | 0.358540i | −0.783813 | − | 0.620996i | \(-0.786728\pi\) |
−0.201267 | + | 0.979536i | \(0.564506\pi\) | |||||||
\(770\) | 0.547781 | − | 11.3715i | 0.0197407 | − | 0.409802i | ||||
\(771\) | 9.45517 | − | 0.0639632i | 0.340520 | − | 0.00230358i | ||||
\(772\) | 20.4154 | − | 28.6047i | 0.734767 | − | 1.02951i | ||||
\(773\) | 4.16046 | + | 2.40204i | 0.149641 | + | 0.0863954i | 0.572951 | − | 0.819590i | \(-0.305798\pi\) |
−0.423310 | + | 0.905985i | \(0.639132\pi\) | |||||||
\(774\) | −34.3169 | + | 11.1617i | −1.23349 | + | 0.401199i | ||||
\(775\) | 0.407642 | − | 0.235352i | 0.0146429 | − | 0.00845410i | ||||
\(776\) | −11.7306 | + | 21.8101i | −0.421104 | + | 0.782937i | ||||
\(777\) | 2.92608 | − | 17.2773i | 0.104973 | − | 0.619819i | ||||
\(778\) | 13.5074 | − | 20.9932i | 0.484264 | − | 0.752644i | ||||
\(779\) | −19.1487 | − | 16.0677i | −0.686074 | − | 0.575685i | ||||
\(780\) | −35.6197 | − | 3.19662i | −1.27539 | − | 0.114457i | ||||
\(781\) | −6.22993 | − | 2.26751i | −0.222924 | − | 0.0811378i | ||||
\(782\) | −16.0758 | − | 6.74375i | −0.574870 | − | 0.241156i | ||||
\(783\) | −4.95456 | − | 25.1079i | −0.177061 | − | 0.897285i | ||||
\(784\) | −0.380445 | + | 21.1295i | −0.0135873 | + | 0.754626i | ||||
\(785\) | 16.2339 | − | 44.6023i | 0.579413 | − | 1.59192i | ||||
\(786\) | −2.69234 | + | 12.2758i | −0.0960326 | + | 0.437864i | ||||
\(787\) | −25.7907 | + | 30.7362i | −0.919339 | + | 1.09563i | 0.0757975 | + | 0.997123i | \(0.475850\pi\) |
−0.995137 | + | 0.0985027i | \(0.968595\pi\) | |||||||
\(788\) | −26.0993 | − | 37.9972i | −0.929751 | − | 1.35359i | ||||
\(789\) | −12.2901 | − | 33.0691i | −0.437541 | − | 1.17729i | ||||
\(790\) | −5.73627 | − | 18.4828i | −0.204087 | − | 0.657588i | ||||
\(791\) | 2.29975 | + | 3.98328i | 0.0817696 | + | 0.141629i | ||||
\(792\) | 21.2012 | − | 8.78251i | 0.753353 | − | 0.312073i | ||||
\(793\) | −0.0893474 | + | 0.154754i | −0.00317282 | + | 0.00549548i | ||||
\(794\) | 18.5882 | + | 4.20877i | 0.659671 | + | 0.149364i | ||||
\(795\) | 13.1459 | + | 7.47170i | 0.466238 | + | 0.264994i | ||||
\(796\) | −2.69354 | + | 5.64313i | −0.0954699 | + | 0.200015i | ||||
\(797\) | 10.6320 | + | 29.2112i | 0.376605 | + | 1.03471i | 0.972754 | + | 0.231839i | \(0.0744743\pi\) |
−0.596150 | + | 0.802873i | \(0.703303\pi\) | |||||||
\(798\) | −2.68148 | − | 20.0175i | −0.0949233 | − | 0.708614i | ||||
\(799\) | 57.2954 | − | 10.1027i | 2.02696 | − | 0.357408i | ||||
\(800\) | −0.734991 | + | 0.538141i | −0.0259859 | + | 0.0190262i | ||||
\(801\) | 20.4833 | + | 3.32668i | 0.723742 | + | 0.117542i | ||||
\(802\) | −1.20492 | − | 9.48189i | −0.0425473 | − | 0.334817i | ||||
\(803\) | 12.8107 | − | 10.7495i | 0.452080 | − | 0.379340i | ||||
\(804\) | 3.51104 | + | 41.1924i | 0.123825 | + | 1.45275i | ||||
\(805\) | 1.31136 | − | 7.43712i | 0.0462195 | − | 0.262124i | ||||
\(806\) | 8.59908 | + | 16.7018i | 0.302890 | + | 0.588296i | ||||
\(807\) | −14.8848 | − | 5.30389i | −0.523972 | − | 0.186706i | ||||
\(808\) | −0.187626 | − | 6.22519i | −0.00660066 | − | 0.219001i | ||||
\(809\) | − | 26.7938i | − | 0.942021i | −0.882128 | − | 0.471010i | \(-0.843889\pi\) | ||
0.882128 | − | 0.471010i | \(-0.156111\pi\) | |||||||
\(810\) | 21.7537 | + | 19.0490i | 0.764348 | + | 0.669313i | ||||
\(811\) | − | 22.6335i | − | 0.794769i | −0.917652 | − | 0.397384i | \(-0.869918\pi\) | ||
0.917652 | − | 0.397384i | \(-0.130082\pi\) | |||||||
\(812\) | −5.34901 | − | 11.7459i | −0.187714 | − | 0.412200i | ||||
\(813\) | −34.6918 | − | 12.3616i | −1.21669 | − | 0.433542i | ||||
\(814\) | 26.2568 | − | 13.5186i | 0.920300 | − | 0.473825i | ||||
\(815\) | 1.29515 | − | 7.34517i | 0.0453672 | − | 0.257290i | ||||
\(816\) | 21.9264 | − | 25.5423i | 0.767576 | − | 0.894158i | ||||
\(817\) | −41.0019 | + | 34.4047i | −1.43448 | + | 1.20367i | ||||
\(818\) | 26.4359 | − | 3.35937i | 0.924309 | − | 0.117458i | ||||
\(819\) | 6.33596 | + | 16.7013i | 0.221396 | + | 0.583591i | ||||
\(820\) | 17.4749 | − | 4.51418i | 0.610249 | − | 0.157642i | ||||
\(821\) | −12.6018 | + | 2.22203i | −0.439805 | + | 0.0775495i | −0.389166 | − | 0.921168i | \(-0.627237\pi\) |
−0.0506388 | + | 0.998717i | \(0.516126\pi\) | |||||||
\(822\) | −4.39035 | + | 0.588116i | −0.153131 | + | 0.0205129i | ||||
\(823\) | 8.87992 | + | 24.3974i | 0.309534 | + | 0.850439i | 0.992747 | + | 0.120220i | \(0.0383599\pi\) |
−0.683213 | + | 0.730219i | \(0.739418\pi\) | |||||||
\(824\) | −3.70308 | − | 4.15240i | −0.129003 | − | 0.144656i | ||||
\(825\) | 0.655801 | + | 0.372735i | 0.0228321 | + | 0.0129770i | ||||
\(826\) | −4.68941 | + | 20.7110i | −0.163165 | + | 0.720627i | ||||
\(827\) | −9.69134 | + | 16.7859i | −0.337001 | + | 0.583703i | −0.983867 | − | 0.178901i | \(-0.942746\pi\) |
0.646866 | + | 0.762603i | \(0.276079\pi\) | |||||||
\(828\) | 14.6857 | − | 4.00637i | 0.510362 | − | 0.139231i | ||||
\(829\) | −15.3678 | − | 26.6178i | −0.533745 | − | 0.924474i | −0.999223 | − | 0.0394143i | \(-0.987451\pi\) |
0.465478 | − | 0.885060i | \(-0.345883\pi\) | |||||||
\(830\) | −29.2918 | + | 9.09092i | −1.01673 | + | 0.315550i | ||||
\(831\) | −15.4012 | − | 41.4400i | −0.534261 | − | 1.43754i | ||||
\(832\) | −20.0406 | − | 30.3324i | −0.694782 | − | 1.05159i | ||||
\(833\) | 16.5004 | − | 19.6645i | 0.571706 | − | 0.681333i | ||||
\(834\) | −31.1061 | − | 6.82222i | −1.07712 | − | 0.236234i | ||||
\(835\) | 14.8794 | − | 40.8809i | 0.514924 | − | 1.41474i | ||||
\(836\) | 24.2838 | − | 23.8505i | 0.839872 | − | 0.824886i | ||||
\(837\) | 2.33338 | − | 15.0082i | 0.0806535 | − | 0.518761i | ||||
\(838\) | 10.4460 | − | 24.9012i | 0.360850 | − | 0.860199i | ||||
\(839\) | 10.2752 | + | 3.73987i | 0.354740 | + | 0.129115i | 0.513242 | − | 0.858244i | \(-0.328444\pi\) |
−0.158502 | + | 0.987359i | \(0.550667\pi\) | |||||||
\(840\) | 12.8891 | + | 6.82039i | 0.444715 | + | 0.235326i | ||||
\(841\) | 3.63286 | + | 3.04833i | 0.125271 | + | 0.105115i | ||||
\(842\) | −26.8103 | − | 17.2502i | −0.923944 | − | 0.594480i | ||||
\(843\) | −3.56507 | + | 21.0502i | −0.122788 | + | 0.725009i | ||||
\(844\) | −2.47090 | + | 25.5875i | −0.0850520 | + | 0.880760i | ||||
\(845\) | 15.0532 | − | 8.69096i | 0.517845 | − | 0.298978i | ||||
\(846\) | −33.9815 | + | 37.7632i | −1.16831 | + | 1.29832i | ||||
\(847\) | 4.18228 | + | 2.41464i | 0.143705 | + | 0.0829680i | ||||
\(848\) | 2.39624 | + | 15.1833i | 0.0822872 | + | 0.521397i | ||||
\(849\) | −28.9369 | + | 0.195755i | −0.993111 | + | 0.00671828i | ||||
\(850\) | 1.10523 | + | 0.0532404i | 0.0379091 | + | 0.00182613i | ||||
\(851\) | 18.4085 | − | 6.70013i | 0.631034 | − | 0.229677i | ||||
\(852\) | 6.01808 | − | 5.99121i | 0.206176 | − | 0.205256i | ||||
\(853\) | 1.11668 | + | 6.33302i | 0.0382345 | + | 0.216838i | 0.997939 | − | 0.0641734i | \(-0.0204411\pi\) |
−0.959704 | + | 0.281012i | \(0.909330\pi\) | |||||||
\(854\) | 0.0580054 | − | 0.0440958i | 0.00198490 | − | 0.00150893i | ||||
\(855\) | 40.4960 | + | 14.1219i | 1.38493 | + | 0.482957i | ||||
\(856\) | −9.03093 | − | 7.12545i | −0.308671 | − | 0.243543i | ||||
\(857\) | −2.04068 | − | 2.43199i | −0.0697083 | − | 0.0830751i | 0.730063 | − | 0.683380i | \(-0.239491\pi\) |
−0.799772 | + | 0.600304i | \(0.795046\pi\) | |||||||
\(858\) | −16.1177 | + | 25.4265i | −0.550248 | + | 0.868047i | ||||
\(859\) | 27.9109 | + | 4.92145i | 0.952309 | + | 0.167918i | 0.628156 | − | 0.778087i | \(-0.283810\pi\) |
0.324152 | + | 0.946005i | \(0.394921\pi\) | |||||||
\(860\) | −3.02154 | − | 38.5278i | −0.103034 | − | 1.31379i | ||||
\(861\) | −5.84122 | − | 6.86642i | −0.199068 | − | 0.234007i | ||||
\(862\) | −10.3748 | + | 11.2203i | −0.353368 | + | 0.382166i | ||||
\(863\) | 53.5310 | 1.82222 | 0.911108 | − | 0.412168i | \(-0.135228\pi\) | ||||
0.911108 | + | 0.412168i | \(0.135228\pi\) | |||||||
\(864\) | −1.34704 | + | 29.3630i | −0.0458271 | + | 0.998949i | ||||
\(865\) | −19.8602 | −0.675267 | ||||||||
\(866\) | −36.0920 | + | 39.0333i | −1.22646 | + | 1.32641i | ||||
\(867\) | −11.2574 | + | 2.06360i | −0.382322 | + | 0.0700836i | ||||
\(868\) | −0.598883 | − | 7.63638i | −0.0203274 | − | 0.259196i | ||||
\(869\) | −16.0431 | − | 2.82884i | −0.544226 | − | 0.0959617i | ||||
\(870\) | 27.3840 | + | 1.13350i | 0.928404 | + | 0.0384293i | ||||
\(871\) | −34.8609 | − | 41.5456i | −1.18122 | − | 1.40772i | ||||
\(872\) | 4.01956 | + | 3.17145i | 0.136119 | + | 0.107399i | ||||
\(873\) | −12.8245 | + | 22.9234i | −0.434043 | + | 0.775839i | ||||
\(874\) | 17.9741 | − | 13.6639i | 0.607984 | − | 0.462190i | ||||
\(875\) | −2.50119 | − | 14.1849i | −0.0845555 | − | 0.479538i | ||||
\(876\) | 5.49769 | + | 20.7028i | 0.185750 | + | 0.699482i | ||||
\(877\) | 28.0872 | − | 10.2229i | 0.948439 | − | 0.345204i | 0.178946 | − | 0.983859i | \(-0.442731\pi\) |
0.769493 | + | 0.638655i | \(0.220509\pi\) | |||||||
\(878\) | 45.1090 | + | 2.17296i | 1.52235 | + | 0.0733337i | ||||
\(879\) | 11.6786 | + | 19.9156i | 0.393910 | + | 0.671737i | ||||
\(880\) | 3.83119 | + | 24.2756i | 0.129149 | + | 0.818331i | ||||
\(881\) | 14.9002 | + | 8.60262i | 0.502000 | + | 0.289830i | 0.729539 | − | 0.683939i | \(-0.239735\pi\) |
−0.227539 | + | 0.973769i | \(0.573068\pi\) | |||||||
\(882\) | −0.775502 | + | 22.4015i | −0.0261125 | + | 0.754297i | ||||
\(883\) | 19.9228 | − | 11.5024i | 0.670455 | − | 0.387088i | −0.125794 | − | 0.992056i | \(-0.540148\pi\) |
0.796249 | + | 0.604969i | \(0.206814\pi\) | |||||||
\(884\) | −4.24465 | + | 43.9556i | −0.142763 | + | 1.47839i | ||||
\(885\) | −34.7391 | − | 28.7514i | −1.16774 | − | 0.966466i | ||||
\(886\) | −44.6957 | − | 28.7579i | −1.50158 | − | 0.966141i | ||||
\(887\) | −21.8640 | − | 18.3460i | −0.734120 | − | 0.616000i | 0.197132 | − | 0.980377i | \(-0.436837\pi\) |
−0.931251 | + | 0.364377i | \(0.881282\pi\) | |||||||
\(888\) | 1.39534 | + | 37.8017i | 0.0468247 | + | 1.26854i | ||||
\(889\) | −13.8131 | − | 5.02757i | −0.463278 | − | 0.168619i | ||||
\(890\) | −8.59695 | + | 20.4935i | −0.288170 | + | 0.686944i | ||||
\(891\) | 22.6388 | − | 8.94068i | 0.758430 | − | 0.299524i | ||||
\(892\) | 14.7529 | − | 14.4896i | 0.493963 | − | 0.485149i | ||||
\(893\) | −25.7712 | + | 70.8058i | −0.862401 | + | 2.36943i | ||||
\(894\) | 4.24840 | − | 4.65744i | 0.142088 | − | 0.155768i | ||||
\(895\) | −8.86013 | + | 10.5591i | −0.296162 | + | 0.352952i | ||||
\(896\) | 2.75097 | + | 14.5663i | 0.0919036 | + | 0.486626i | ||||
\(897\) | −12.7323 | + | 15.3839i | −0.425118 | + | 0.513653i | ||||
\(898\) | −10.9161 | + | 3.38789i | −0.364275 | + | 0.113055i | ||||
\(899\) | −7.19828 | − | 12.4678i | −0.240076 | − | 0.415824i | ||||
\(900\) | −0.788943 | + | 0.557765i | −0.0262981 | + | 0.0185922i | ||||
\(901\) | 9.33569 | − | 16.1699i | 0.311017 | − | 0.538697i | ||||
\(902\) | 3.35509 | − | 14.8179i | 0.111712 | − | 0.493382i | ||||
\(903\) | −16.6511 | + | 9.76433i | −0.554116 | + | 0.324936i | ||||
\(904\) | −6.60840 | − | 7.41024i | −0.219792 | − | 0.246461i | ||||
\(905\) | −12.4540 | − | 34.2172i | −0.413986 | − | 1.13742i | ||||
\(906\) | −7.85186 | − | 10.1849i | −0.260861 | − | 0.338371i | ||||
\(907\) | −57.4172 | + | 10.1242i | −1.90651 | + | 0.336169i | −0.996858 | − | 0.0792103i | \(-0.974760\pi\) |
−0.909649 | + | 0.415379i | \(0.863649\pi\) | |||||||
\(908\) | −0.185983 | + | 0.0480439i | −0.00617206 | + | 0.00159439i | ||||
\(909\) | −0.0893711 | − | 6.60521i | −0.00296425 | − | 0.219081i | ||||
\(910\) | −18.9772 | + | 2.41155i | −0.629088 | + | 0.0799422i | ||||
\(911\) | −3.02058 | + | 2.53457i | −0.100076 | + | 0.0839741i | −0.691453 | − | 0.722421i | \(-0.743029\pi\) |
0.591377 | + | 0.806395i | \(0.298585\pi\) | |||||||
\(912\) | 14.4499 | + | 41.1334i | 0.478485 | + | 1.36206i | ||||
\(913\) | −4.48318 | + | 25.4254i | −0.148372 | + | 0.841457i | ||||
\(914\) | 3.11088 | − | 1.60167i | 0.102899 | − | 0.0529784i | ||||
\(915\) | 0.0278984 | + | 0.152192i | 0.000922292 | + | 0.00503131i | ||||
\(916\) | 22.2745 | + | 48.9127i | 0.735972 | + | 1.61612i | ||||
\(917\) | 6.72250i | 0.221997i | ||||||||
\(918\) | 23.7029 | − | 26.7019i | 0.782314 | − | 0.881293i | ||||
\(919\) | 6.45794i | 0.213028i | 0.994311 | + | 0.106514i | \(0.0339689\pi\) | ||||
−0.994311 | + | 0.106514i | \(0.966031\pi\) | |||||||
\(920\) | 0.491119 | + | 16.2947i | 0.0161917 | + | 0.537220i | ||||
\(921\) | −28.7160 | + | 24.4285i | −0.946224 | + | 0.804947i | ||||
\(922\) | 5.84924 | + | 11.3608i | 0.192634 | + | 0.374149i | ||||
\(923\) | −1.93444 | + | 10.9708i | −0.0636729 | + | 0.361107i | ||||
\(924\) | 10.0710 | − | 7.01827i | 0.331312 | − | 0.230884i | ||||
\(925\) | −0.952508 | + | 0.799249i | −0.0313183 | + | 0.0262792i | ||||
\(926\) | −0.248631 | − | 1.95655i | −0.00817054 | − | 0.0642963i | ||||
\(927\) | −3.85406 | − | 4.46888i | −0.126584 | − | 0.146777i | ||||
\(928\) | 16.4591 | + | 22.4798i | 0.540297 | + | 0.737936i | ||||
\(929\) | 56.1170 | − | 9.89493i | 1.84114 | − | 0.324642i | 0.858880 | − | 0.512177i | \(-0.171161\pi\) |
0.982258 | + | 0.187535i | \(0.0600498\pi\) | |||||||
\(930\) | 15.0418 | + | 6.19066i | 0.493240 | + | 0.203000i | ||||
\(931\) | 11.3709 | + | 31.2413i | 0.372666 | + | 1.02389i | ||||
\(932\) | 6.23234 | − | 13.0571i | 0.204147 | − | 0.427700i | ||||
\(933\) | 0.167147 | + | 24.7080i | 0.00547215 | + | 0.808904i | ||||
\(934\) | −29.1010 | − | 6.58908i | −0.952213 | − | 0.215601i | ||||
\(935\) | 14.9262 | − | 25.8530i | 0.488140 | − | 0.845483i | ||||
\(936\) | −20.7192 | − | 32.5208i | −0.677230 | − | 1.06297i | ||||
\(937\) | 9.57464 | + | 16.5838i | 0.312790 | + | 0.541768i | 0.978965 | − | 0.204027i | \(-0.0654031\pi\) |
−0.666175 | + | 0.745795i | \(0.732070\pi\) | |||||||
\(938\) | 6.55483 | + | 21.1203i | 0.214023 | + | 0.689601i | ||||
\(939\) | −36.3332 | − | 6.15339i | −1.18569 | − | 0.200808i | ||||
\(940\) | −30.8030 | − | 44.8451i | −1.00468 | − | 1.46268i | ||||
\(941\) | −12.0148 | + | 14.3187i | −0.391671 | + | 0.466775i | −0.925462 | − | 0.378841i | \(-0.876323\pi\) |
0.533791 | + | 0.845617i | \(0.320767\pi\) | |||||||
\(942\) | 48.7739 | − | 15.4998i | 1.58914 | − | 0.505011i | ||||
\(943\) | 3.44687 | − | 9.47021i | 0.112246 | − | 0.308392i | ||||
\(944\) | 0.825237 | − | 45.8329i | 0.0268592 | − | 1.49173i | ||||
\(945\) | 13.5490 | + | 7.46006i | 0.440747 | + | 0.242676i | ||||
\(946\) | −29.9991 | − | 12.5845i | −0.975354 | − | 0.409158i | ||||
\(947\) | −26.7426 | − | 9.73349i | −0.869016 | − | 0.316296i | −0.131247 | − | 0.991350i | \(-0.541898\pi\) |
−0.737769 | + | 0.675054i | \(0.764120\pi\) | |||||||
\(948\) | 12.0066 | − | 17.0658i | 0.389956 | − | 0.554271i | ||||
\(949\) | −21.5259 | − | 18.0624i | −0.698761 | − | 0.586330i | ||||
\(950\) | −0.775427 | + | 1.20517i | −0.0251582 | + | 0.0391009i | ||||
\(951\) | 10.9439 | − | 4.06730i | 0.354880 | − | 0.131891i | ||||
\(952\) | 8.52933 | − | 15.8582i | 0.276437 | − | 0.513966i | ||||
\(953\) | 39.0891 | − | 22.5681i | 1.26622 | − | 0.731052i | 0.291949 | − | 0.956434i | \(-0.405696\pi\) |
0.974270 | + | 0.225382i | \(0.0723630\pi\) | |||||||
\(954\) | 2.27391 | + | 16.1443i | 0.0736205 | + | 0.522692i | ||||
\(955\) | −23.0134 | − | 13.2868i | −0.744695 | − | 0.429950i | ||||
\(956\) | −14.8219 | + | 20.7675i | −0.479375 | + | 0.671668i | ||||
\(957\) | 11.4002 | − | 20.0578i | 0.368515 | − | 0.648376i | ||||
\(958\) | −0.993768 | + | 20.6299i | −0.0321072 | + | 0.666521i | ||||
\(959\) | −2.22652 | + | 0.810386i | −0.0718980 | + | 0.0261687i | ||||
\(960\) | −30.2351 | − | 8.76105i | −0.975834 | − | 0.282762i | ||||
\(961\) | 3.89942 | + | 22.1147i | 0.125788 | + | 0.713377i | ||||
\(962\) | −30.0315 | − | 39.5047i | −0.968253 | − | 1.27368i | ||||
\(963\) | −9.45197 | − | 7.71566i | −0.304585 | − | 0.248634i | ||||
\(964\) | 4.05152 | − | 14.5937i | 0.130491 | − | 0.470032i | ||||
\(965\) | 25.6592 | + | 30.5794i | 0.825998 | + | 0.984386i | ||||
\(966\) | 7.21400 | − | 3.77615i | 0.232107 | − | 0.121496i | ||||
\(967\) | 9.02769 | + | 1.59182i | 0.290311 | + | 0.0511896i | 0.316907 | − | 0.948457i | \(-0.397356\pi\) |
−0.0265962 | + | 0.999646i | \(0.508467\pi\) | |||||||
\(968\) | −9.89919 | − | 3.26879i | −0.318172 | − | 0.105063i | ||||
\(969\) | 17.7756 | − | 49.8855i | 0.571035 | − | 1.60255i | ||||
\(970\) | −20.6539 | − | 19.0975i | −0.663156 | − | 0.613185i | ||||
\(971\) | 10.7197 | 0.344010 | 0.172005 | − | 0.985096i | \(-0.444975\pi\) | ||||
0.172005 | + | 0.985096i | \(0.444975\pi\) | |||||||
\(972\) | −1.94555 | + | 31.1162i | −0.0624037 | + | 0.998051i | ||||
\(973\) | −17.0344 | −0.546098 | ||||||||
\(974\) | 0.293379 | + | 0.271271i | 0.00940046 | + | 0.00869209i | ||||
\(975\) | 0.425442 | − | 1.19396i | 0.0136251 | − | 0.0382374i | ||||
\(976\) | −0.103256 | + | 0.118651i | −0.00330516 | + | 0.00379793i | ||||
\(977\) | 49.0395 | + | 8.64698i | 1.56891 | + | 0.276641i | 0.889437 | − | 0.457057i | \(-0.151097\pi\) |
0.679475 | + | 0.733699i | \(0.262208\pi\) | |||||||
\(978\) | 7.12481 | − | 3.72947i | 0.227826 | − | 0.119255i | ||||
\(979\) | 12.0250 | + | 14.3308i | 0.384320 | + | 0.458015i | ||||
\(980\) | −23.1300 | − | 6.42138i | −0.738862 | − | 0.205123i | ||||
\(981\) | 4.20695 | + | 3.43414i | 0.134318 | + | 0.109644i | ||||
\(982\) | −13.2649 | − | 17.4492i | −0.423299 | − | 0.556826i | ||||
\(983\) | 0.315908 | + | 1.79160i | 0.0100759 | + | 0.0571433i | 0.989431 | − | 0.145003i | \(-0.0463193\pi\) |
−0.979355 | + | 0.202147i | \(0.935208\pi\) | |||||||
\(984\) | 15.3587 | + | 11.9504i | 0.489618 | + | 0.380965i | ||||
\(985\) | 49.2039 | − | 17.9088i | 1.56777 | − | 0.570620i | ||||
\(986\) | 1.62836 | − | 33.8036i | 0.0518577 | − | 1.07653i | ||||
\(987\) | −13.4276 | + | 23.6249i | −0.427404 | + | 0.751988i | ||||
\(988\) | −46.5528 | − | 33.2251i | −1.48104 | − | 1.05703i | ||||
\(989\) | −18.6883 | − | 10.7897i | −0.594252 | − | 0.343092i | ||||
\(990\) | 3.63561 | + | 25.8121i | 0.115547 | + | 0.820362i | ||||
\(991\) | −48.8792 | + | 28.2204i | −1.55270 | + | 0.896451i | −0.554777 | + | 0.831999i | \(0.687196\pi\) |
−0.997921 | + | 0.0644516i | \(0.979470\pi\) | |||||||
\(992\) | 4.61611 | + | 15.8778i | 0.146562 | + | 0.504121i | ||||
\(993\) | 39.2856 | − | 14.6005i | 1.24669 | − | 0.463332i | ||||
\(994\) | 2.45783 | − | 3.81997i | 0.0779577 | − | 0.121162i | ||||
\(995\) | −5.44102 | − | 4.56556i | −0.172492 | − | 0.144738i | ||||
\(996\) | −27.0461 | − | 19.0282i | −0.856988 | − | 0.602931i | ||||
\(997\) | −11.0934 | − | 4.03767i | −0.351331 | − | 0.127874i | 0.160325 | − | 0.987064i | \(-0.448746\pi\) |
−0.511657 | + | 0.859190i | \(0.670968\pi\) | |||||||
\(998\) | −53.3333 | − | 22.3731i | −1.68824 | − | 0.708209i | ||||
\(999\) | 0.814195 | + | 40.1138i | 0.0257600 | + | 1.26914i |
(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 | 108.2.l.a.23.13 | yes | 96 | |
3.2 | odd | 2 | 324.2.l.a.179.4 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.23.8 | ✓ | 96 | |
9.2 | odd | 6 | 972.2.l.b.215.15 | 96 | |||
9.4 | even | 3 | 972.2.l.d.863.10 | 96 | |||
9.5 | odd | 6 | 972.2.l.a.863.7 | 96 | |||
9.7 | even | 3 | 972.2.l.c.215.2 | 96 | |||
12.11 | even | 2 | 324.2.l.a.179.9 | 96 | |||
27.2 | odd | 18 | 972.2.l.d.107.15 | 96 | |||
27.7 | even | 9 | 324.2.l.a.143.9 | 96 | |||
27.11 | odd | 18 | 972.2.l.c.755.4 | 96 | |||
27.16 | even | 9 | 972.2.l.b.755.13 | 96 | |||
27.20 | odd | 18 | inner | 108.2.l.a.47.8 | yes | 96 | |
27.25 | even | 9 | 972.2.l.a.107.2 | 96 | |||
36.7 | odd | 6 | 972.2.l.c.215.4 | 96 | |||
36.11 | even | 6 | 972.2.l.b.215.13 | 96 | |||
36.23 | even | 6 | 972.2.l.a.863.2 | 96 | |||
36.31 | odd | 6 | 972.2.l.d.863.15 | 96 | |||
108.7 | odd | 18 | 324.2.l.a.143.4 | 96 | |||
108.11 | even | 18 | 972.2.l.c.755.2 | 96 | |||
108.43 | odd | 18 | 972.2.l.b.755.15 | 96 | |||
108.47 | even | 18 | inner | 108.2.l.a.47.13 | yes | 96 | |
108.79 | odd | 18 | 972.2.l.a.107.7 | 96 | |||
108.83 | even | 18 | 972.2.l.d.107.10 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.23.8 | ✓ | 96 | 4.3 | odd | 2 | inner | |
108.2.l.a.23.13 | yes | 96 | 1.1 | even | 1 | trivial | |
108.2.l.a.47.8 | yes | 96 | 27.20 | odd | 18 | inner | |
108.2.l.a.47.13 | yes | 96 | 108.47 | even | 18 | inner | |
324.2.l.a.143.4 | 96 | 108.7 | odd | 18 | |||
324.2.l.a.143.9 | 96 | 27.7 | even | 9 | |||
324.2.l.a.179.4 | 96 | 3.2 | odd | 2 | |||
324.2.l.a.179.9 | 96 | 12.11 | even | 2 | |||
972.2.l.a.107.2 | 96 | 27.25 | even | 9 | |||
972.2.l.a.107.7 | 96 | 108.79 | odd | 18 | |||
972.2.l.a.863.2 | 96 | 36.23 | even | 6 | |||
972.2.l.a.863.7 | 96 | 9.5 | odd | 6 | |||
972.2.l.b.215.13 | 96 | 36.11 | even | 6 | |||
972.2.l.b.215.15 | 96 | 9.2 | odd | 6 | |||
972.2.l.b.755.13 | 96 | 27.16 | even | 9 | |||
972.2.l.b.755.15 | 96 | 108.43 | odd | 18 | |||
972.2.l.c.215.2 | 96 | 9.7 | even | 3 | |||
972.2.l.c.215.4 | 96 | 36.7 | odd | 6 | |||
972.2.l.c.755.2 | 96 | 108.11 | even | 18 | |||
972.2.l.c.755.4 | 96 | 27.11 | odd | 18 | |||
972.2.l.d.107.10 | 96 | 108.83 | even | 18 | |||
972.2.l.d.107.15 | 96 | 27.2 | odd | 18 | |||
972.2.l.d.863.10 | 96 | 9.4 | even | 3 | |||
972.2.l.d.863.15 | 96 | 36.31 | odd | 6 |