Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,3,Mod(139,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.139");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.f (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: | \(7.52045529634\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 139.20 | ||
Character | \(\chi\) | \(=\) | 276.139 |
Dual form | 276.3.f.b.139.19 |
$q$-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 \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.268173 | + | 1.98194i | 0.134087 | + | 0.990970i | ||||
\(3\) | − | 1.73205i | − | 0.577350i | ||||||
\(4\) | −3.85617 | + | 1.06301i | −0.964041 | + | 0.265752i | ||||
\(5\) | −0.0477853 | −0.00955706 | −0.00477853 | − | 0.999989i | \(-0.501521\pi\) | ||||
−0.00477853 | + | 0.999989i | \(0.501521\pi\) | |||||||
\(6\) | 3.43282 | − | 0.464490i | 0.572137 | − | 0.0774150i | ||||
\(7\) | 3.46303i | 0.494719i | 0.968924 | + | 0.247360i | \(0.0795629\pi\) | ||||
−0.968924 | + | 0.247360i | \(0.920437\pi\) | |||||||
\(8\) | −3.14094 | − | 7.35762i | −0.392617 | − | 0.919702i | ||||
\(9\) | −3.00000 | −0.333333 | ||||||||
\(10\) | −0.0128147 | − | 0.0947075i | −0.00128147 | − | 0.00947075i | ||||
\(11\) | 9.73090i | 0.884627i | 0.896860 | + | 0.442314i | \(0.145842\pi\) | ||||
−0.896860 | + | 0.442314i | \(0.854158\pi\) | |||||||
\(12\) | 1.84118 | + | 6.67908i | 0.153432 | + | 0.556590i | ||||
\(13\) | −17.8630 | −1.37408 | −0.687040 | − | 0.726620i | \(-0.741090\pi\) | ||||
−0.687040 | + | 0.726620i | \(0.741090\pi\) | |||||||
\(14\) | −6.86352 | + | 0.928694i | −0.490252 | + | 0.0663353i | ||||
\(15\) | 0.0827666i | 0.00551777i | ||||||||
\(16\) | 13.7400 | − | 8.19826i | 0.858752 | − | 0.512391i | ||||
\(17\) | −15.4176 | −0.906920 | −0.453460 | − | 0.891277i | \(-0.649811\pi\) | ||||
−0.453460 | + | 0.891277i | \(0.649811\pi\) | |||||||
\(18\) | −0.804520 | − | 5.94582i | −0.0446956 | − | 0.330323i | ||||
\(19\) | 17.2928i | 0.910150i | 0.890453 | + | 0.455075i | \(0.150388\pi\) | ||||
−0.890453 | + | 0.455075i | \(0.849612\pi\) | |||||||
\(20\) | 0.184268 | − | 0.0507961i | 0.00921340 | − | 0.00253981i | ||||
\(21\) | 5.99815 | 0.285626 | ||||||||
\(22\) | −19.2861 | + | 2.60957i | −0.876639 | + | 0.118617i | ||||
\(23\) | − | 4.79583i | − | 0.208514i | ||||||
\(24\) | −12.7438 | + | 5.44026i | −0.530990 | + | 0.226678i | ||||
\(25\) | −24.9977 | −0.999909 | ||||||||
\(26\) | −4.79039 | − | 35.4034i | −0.184246 | − | 1.36167i | ||||
\(27\) | 5.19615i | 0.192450i | ||||||||
\(28\) | −3.68123 | − | 13.3540i | −0.131472 | − | 0.476930i | ||||
\(29\) | −54.9443 | −1.89463 | −0.947315 | − | 0.320304i | \(-0.896215\pi\) | ||||
−0.947315 | + | 0.320304i | \(0.896215\pi\) | |||||||
\(30\) | −0.164038 | + | 0.0221958i | −0.00546794 | + | 0.000739860i | ||||
\(31\) | − | 14.9860i | − | 0.483421i | −0.970348 | − | 0.241710i | \(-0.922292\pi\) | ||
0.970348 | − | 0.241710i | \(-0.0777084\pi\) | |||||||
\(32\) | 19.9332 | + | 25.0334i | 0.622912 | + | 0.782292i | ||||
\(33\) | 16.8544 | 0.510740 | ||||||||
\(34\) | −4.13460 | − | 30.5568i | −0.121606 | − | 0.898730i | ||||
\(35\) | − | 0.165482i | − | 0.00472806i | ||||||
\(36\) | 11.5685 | − | 3.18902i | 0.321347 | − | 0.0885839i | ||||
\(37\) | 70.4174 | 1.90317 | 0.951586 | − | 0.307383i | \(-0.0994533\pi\) | ||||
0.951586 | + | 0.307383i | \(0.0994533\pi\) | |||||||
\(38\) | −34.2734 | + | 4.63748i | −0.901931 | + | 0.122039i | ||||
\(39\) | 30.9397i | 0.793325i | ||||||||
\(40\) | 0.150091 | + | 0.351586i | 0.00375226 | + | 0.00878965i | ||||
\(41\) | −48.9510 | −1.19393 | −0.596963 | − | 0.802269i | \(-0.703626\pi\) | ||||
−0.596963 | + | 0.802269i | \(0.703626\pi\) | |||||||
\(42\) | 1.60854 | + | 11.8880i | 0.0382987 | + | 0.283047i | ||||
\(43\) | 3.95048i | 0.0918716i | 0.998944 | + | 0.0459358i | \(0.0146270\pi\) | ||||
−0.998944 | + | 0.0459358i | \(0.985373\pi\) | |||||||
\(44\) | −10.3440 | − | 37.5240i | −0.235091 | − | 0.852817i | ||||
\(45\) | 0.143356 | 0.00318569 | ||||||||
\(46\) | 9.50505 | − | 1.28611i | 0.206631 | − | 0.0279590i | ||||
\(47\) | 63.2190i | 1.34509i | 0.740058 | + | 0.672543i | \(0.234798\pi\) | ||||
−0.740058 | + | 0.672543i | \(0.765202\pi\) | |||||||
\(48\) | −14.1998 | − | 23.7984i | −0.295829 | − | 0.495801i | ||||
\(49\) | 37.0074 | 0.755253 | ||||||||
\(50\) | −6.70372 | − | 49.5440i | −0.134074 | − | 0.990879i | ||||
\(51\) | 26.7041i | 0.523610i | ||||||||
\(52\) | 68.8828 | − | 18.9885i | 1.32467 | − | 0.365164i | ||||
\(53\) | 32.2548 | 0.608581 | 0.304291 | − | 0.952579i | \(-0.401581\pi\) | ||||
0.304291 | + | 0.952579i | \(0.401581\pi\) | |||||||
\(54\) | −10.2985 | + | 1.39347i | −0.190712 | + | 0.0258050i | ||||
\(55\) | − | 0.464994i | − | 0.00845443i | ||||||
\(56\) | 25.4797 | − | 10.8772i | 0.454994 | − | 0.194235i | ||||
\(57\) | 29.9521 | 0.525475 | ||||||||
\(58\) | −14.7346 | − | 108.896i | −0.254045 | − | 1.87752i | ||||
\(59\) | − | 14.3028i | − | 0.242420i | −0.992627 | − | 0.121210i | \(-0.961323\pi\) | ||
0.992627 | − | 0.121210i | \(-0.0386775\pi\) | |||||||
\(60\) | −0.0879814 | − | 0.319162i | −0.00146636 | − | 0.00531936i | ||||
\(61\) | 28.1047 | 0.460733 | 0.230366 | − | 0.973104i | \(-0.426008\pi\) | ||||
0.230366 | + | 0.973104i | \(0.426008\pi\) | |||||||
\(62\) | 29.7014 | − | 4.01886i | 0.479055 | − | 0.0648203i | ||||
\(63\) | − | 10.3891i | − | 0.164906i | ||||||
\(64\) | −44.2690 | + | 46.2196i | −0.691704 | + | 0.722182i | ||||
\(65\) | 0.853590 | 0.0131322 | ||||||||
\(66\) | 4.51991 | + | 33.4044i | 0.0684834 | + | 0.506128i | ||||
\(67\) | − | 100.265i | − | 1.49649i | −0.663422 | − | 0.748246i | \(-0.730896\pi\) | ||
0.663422 | − | 0.748246i | \(-0.269104\pi\) | |||||||
\(68\) | 59.4530 | − | 16.3891i | 0.874308 | − | 0.241016i | ||||
\(69\) | −8.30662 | −0.120386 | ||||||||
\(70\) | 0.327975 | − | 0.0443779i | 0.00468536 | − | 0.000633970i | ||||
\(71\) | 38.2226i | 0.538347i | 0.963092 | + | 0.269173i | \(0.0867505\pi\) | ||||
−0.963092 | + | 0.269173i | \(0.913250\pi\) | |||||||
\(72\) | 9.42281 | + | 22.0728i | 0.130872 | + | 0.306567i | ||||
\(73\) | 32.9813 | 0.451799 | 0.225899 | − | 0.974151i | \(-0.427468\pi\) | ||||
0.225899 | + | 0.974151i | \(0.427468\pi\) | |||||||
\(74\) | 18.8841 | + | 139.563i | 0.255190 | + | 1.88599i | ||||
\(75\) | 43.2973i | 0.577298i | ||||||||
\(76\) | −18.3824 | − | 66.6841i | −0.241874 | − | 0.877422i | ||||
\(77\) | −33.6984 | −0.437642 | ||||||||
\(78\) | −61.3206 | + | 8.29720i | −0.786161 | + | 0.106374i | ||||
\(79\) | 72.2216i | 0.914197i | 0.889416 | + | 0.457099i | \(0.151111\pi\) | ||||
−0.889416 | + | 0.457099i | \(0.848889\pi\) | |||||||
\(80\) | −0.656571 | + | 0.391756i | −0.00820714 | + | 0.00489696i | ||||
\(81\) | 9.00000 | 0.111111 | ||||||||
\(82\) | −13.1274 | − | 97.0178i | −0.160090 | − | 1.18314i | ||||
\(83\) | 96.0812i | 1.15760i | 0.815468 | + | 0.578802i | \(0.196480\pi\) | ||||
−0.815468 | + | 0.578802i | \(0.803520\pi\) | |||||||
\(84\) | −23.1299 | + | 6.37608i | −0.275355 | + | 0.0759057i | ||||
\(85\) | 0.736736 | 0.00866749 | ||||||||
\(86\) | −7.82961 | + | 1.05941i | −0.0910420 | + | 0.0123188i | ||||
\(87\) | 95.1663i | 1.09387i | ||||||||
\(88\) | 71.5962 | − | 30.5641i | 0.813593 | − | 0.347320i | ||||
\(89\) | −98.6750 | −1.10871 | −0.554354 | − | 0.832281i | \(-0.687035\pi\) | ||||
−0.554354 | + | 0.832281i | \(0.687035\pi\) | |||||||
\(90\) | 0.0384442 | + | 0.284123i | 0.000427158 | + | 0.00315692i | ||||
\(91\) | − | 61.8603i | − | 0.679783i | ||||||
\(92\) | 5.09800 | + | 18.4935i | 0.0554131 | + | 0.201017i | ||||
\(93\) | −25.9566 | −0.279103 | ||||||||
\(94\) | −125.296 | + | 16.9537i | −1.33294 | + | 0.180358i | ||||
\(95\) | − | 0.826344i | − | 0.00869836i | ||||||
\(96\) | 43.3590 | − | 34.5253i | 0.451657 | − | 0.359638i | ||||
\(97\) | 35.5346 | 0.366336 | 0.183168 | − | 0.983082i | \(-0.441365\pi\) | ||||
0.183168 | + | 0.983082i | \(0.441365\pi\) | |||||||
\(98\) | 9.92440 | + | 73.3464i | 0.101269 | + | 0.748433i | ||||
\(99\) | − | 29.1927i | − | 0.294876i | ||||||
\(100\) | 96.3953 | − | 26.5728i | 0.963953 | − | 0.265728i | ||||
\(101\) | 157.866 | 1.56303 | 0.781517 | − | 0.623884i | \(-0.214446\pi\) | ||||
0.781517 | + | 0.623884i | \(0.214446\pi\) | |||||||
\(102\) | −52.9260 | + | 7.16134i | −0.518882 | + | 0.0702092i | ||||
\(103\) | 93.1482i | 0.904352i | 0.891929 | + | 0.452176i | \(0.149352\pi\) | ||||
−0.891929 | + | 0.452176i | \(0.850648\pi\) | |||||||
\(104\) | 56.1067 | + | 131.429i | 0.539487 | + | 1.26374i | ||||
\(105\) | −0.286623 | −0.00272975 | ||||||||
\(106\) | 8.64988 | + | 63.9270i | 0.0816027 | + | 0.603085i | ||||
\(107\) | − | 14.8736i | − | 0.139005i | −0.997582 | − | 0.0695026i | \(-0.977859\pi\) | ||
0.997582 | − | 0.0695026i | \(-0.0221412\pi\) | |||||||
\(108\) | −5.52355 | − | 20.0372i | −0.0511440 | − | 0.185530i | ||||
\(109\) | −13.8388 | −0.126961 | −0.0634807 | − | 0.997983i | \(-0.520220\pi\) | ||||
−0.0634807 | + | 0.997983i | \(0.520220\pi\) | |||||||
\(110\) | 0.921590 | − | 0.124699i | 0.00837809 | − | 0.00113363i | ||||
\(111\) | − | 121.966i | − | 1.09880i | ||||||
\(112\) | 28.3909 | + | 47.5822i | 0.253490 | + | 0.424841i | ||||
\(113\) | −11.2180 | −0.0992746 | −0.0496373 | − | 0.998767i | \(-0.515807\pi\) | ||||
−0.0496373 | + | 0.998767i | \(0.515807\pi\) | |||||||
\(114\) | 8.03236 | + | 59.3632i | 0.0704593 | + | 0.520730i | ||||
\(115\) | 0.229170i | 0.00199278i | ||||||||
\(116\) | 211.874 | − | 58.4061i | 1.82650 | − | 0.503501i | ||||
\(117\) | 53.5891 | 0.458026 | ||||||||
\(118\) | 28.3473 | − | 3.83563i | 0.240231 | − | 0.0325053i | ||||
\(119\) | − | 53.3918i | − | 0.448671i | ||||||
\(120\) | 0.608965 | − | 0.259965i | 0.00507470 | − | 0.00216637i | ||||
\(121\) | 26.3096 | 0.217435 | ||||||||
\(122\) | 7.53694 | + | 55.7018i | 0.0617782 | + | 0.456572i | ||||
\(123\) | 84.7856i | 0.689314i | ||||||||
\(124\) | 15.9303 | + | 57.7886i | 0.128470 | + | 0.466037i | ||||
\(125\) | 2.38916 | 0.0191132 | ||||||||
\(126\) | 20.5906 | − | 2.78608i | 0.163417 | − | 0.0221118i | ||||
\(127\) | 159.175i | 1.25334i | 0.779283 | + | 0.626672i | \(0.215583\pi\) | ||||
−0.779283 | + | 0.626672i | \(0.784417\pi\) | |||||||
\(128\) | −103.476 | − | 75.3437i | −0.808408 | − | 0.588622i | ||||
\(129\) | 6.84243 | 0.0530421 | ||||||||
\(130\) | 0.228910 | + | 1.69176i | 0.00176085 | + | 0.0130136i | ||||
\(131\) | − | 26.5378i | − | 0.202579i | −0.994857 | − | 0.101289i | \(-0.967703\pi\) | ||
0.994857 | − | 0.101289i | \(-0.0322968\pi\) | |||||||
\(132\) | −64.9934 | + | 17.9164i | −0.492374 | + | 0.135730i | ||||
\(133\) | −59.8857 | −0.450268 | ||||||||
\(134\) | 198.719 | − | 26.8884i | 1.48298 | − | 0.200660i | ||||
\(135\) | − | 0.248300i | − | 0.00183926i | ||||||
\(136\) | 48.4258 | + | 113.437i | 0.356072 | + | 0.834096i | ||||
\(137\) | −220.854 | −1.61207 | −0.806037 | − | 0.591866i | \(-0.798392\pi\) | ||||
−0.806037 | + | 0.591866i | \(0.798392\pi\) | |||||||
\(138\) | −2.22762 | − | 16.4632i | −0.0161421 | − | 0.119299i | ||||
\(139\) | − | 165.617i | − | 1.19149i | −0.803174 | − | 0.595744i | \(-0.796857\pi\) | ||
0.803174 | − | 0.595744i | \(-0.203143\pi\) | |||||||
\(140\) | 0.175909 | + | 0.638126i | 0.00125649 | + | 0.00455804i | ||||
\(141\) | 109.499 | 0.776586 | ||||||||
\(142\) | −75.7549 | + | 10.2503i | −0.533485 | + | 0.0721852i | ||||
\(143\) | − | 173.823i | − | 1.21555i | ||||||
\(144\) | −41.2201 | + | 24.5948i | −0.286251 | + | 0.170797i | ||||
\(145\) | 2.62553 | 0.0181071 | ||||||||
\(146\) | 8.84471 | + | 65.3670i | 0.0605802 | + | 0.447719i | ||||
\(147\) | − | 64.0987i | − | 0.436046i | ||||||
\(148\) | −271.541 | + | 74.8541i | −1.83474 | + | 0.505771i | ||||
\(149\) | −183.570 | −1.23201 | −0.616007 | − | 0.787740i | \(-0.711251\pi\) | ||||
−0.616007 | + | 0.787740i | \(0.711251\pi\) | |||||||
\(150\) | −85.8126 | + | 11.6112i | −0.572084 | + | 0.0774079i | ||||
\(151\) | − | 191.991i | − | 1.27146i | −0.771910 | − | 0.635732i | \(-0.780699\pi\) | ||
0.771910 | − | 0.635732i | \(-0.219301\pi\) | |||||||
\(152\) | 127.234 | − | 54.3157i | 0.837067 | − | 0.357340i | ||||
\(153\) | 46.2529 | 0.302307 | ||||||||
\(154\) | −9.03703 | − | 66.7882i | −0.0586820 | − | 0.433690i | ||||
\(155\) | 0.716112i | 0.00462008i | ||||||||
\(156\) | −32.8891 | − | 119.309i | −0.210828 | − | 0.764798i | ||||
\(157\) | 94.5731 | 0.602376 | 0.301188 | − | 0.953565i | \(-0.402617\pi\) | ||||
0.301188 | + | 0.953565i | \(0.402617\pi\) | |||||||
\(158\) | −143.139 | + | 19.3679i | −0.905941 | + | 0.122582i | ||||
\(159\) | − | 55.8669i | − | 0.351364i | ||||||
\(160\) | −0.952512 | − | 1.19623i | −0.00595320 | − | 0.00747641i | ||||
\(161\) | 16.6081 | 0.103156 | ||||||||
\(162\) | 2.41356 | + | 17.8375i | 0.0148985 | + | 0.110108i | ||||
\(163\) | − | 239.775i | − | 1.47101i | −0.677517 | − | 0.735507i | \(-0.736944\pi\) | ||
0.677517 | − | 0.735507i | \(-0.263056\pi\) | |||||||
\(164\) | 188.763 | − | 52.0352i | 1.15099 | − | 0.317288i | ||||
\(165\) | −0.805393 | −0.00488117 | ||||||||
\(166\) | −190.427 | + | 25.7664i | −1.14715 | + | 0.155219i | ||||
\(167\) | 111.442i | 0.667319i | 0.942694 | + | 0.333659i | \(0.108284\pi\) | ||||
−0.942694 | + | 0.333659i | \(0.891716\pi\) | |||||||
\(168\) | −18.8398 | − | 44.1321i | −0.112142 | − | 0.262691i | ||||
\(169\) | 150.088 | 0.888094 | ||||||||
\(170\) | 0.197573 | + | 1.46017i | 0.00116220 | + | 0.00858922i | ||||
\(171\) | − | 51.8785i | − | 0.303383i | ||||||
\(172\) | −4.19939 | − | 15.2337i | −0.0244150 | − | 0.0885680i | ||||
\(173\) | 31.4380 | 0.181723 | 0.0908614 | − | 0.995864i | \(-0.471038\pi\) | ||||
0.0908614 | + | 0.995864i | \(0.471038\pi\) | |||||||
\(174\) | −188.614 | + | 25.5211i | −1.08399 | + | 0.146673i | ||||
\(175\) | − | 86.5679i | − | 0.494674i | ||||||
\(176\) | 79.7765 | + | 133.703i | 0.453275 | + | 0.759675i | ||||
\(177\) | −24.7732 | −0.139961 | ||||||||
\(178\) | −26.4620 | − | 195.568i | −0.148663 | − | 1.09870i | ||||
\(179\) | − | 8.30300i | − | 0.0463855i | −0.999731 | − | 0.0231927i | \(-0.992617\pi\) | ||
0.999731 | − | 0.0231927i | \(-0.00738314\pi\) | |||||||
\(180\) | −0.552804 | + | 0.152388i | −0.00307113 | + | 0.000846602i | ||||
\(181\) | −38.4719 | −0.212552 | −0.106276 | − | 0.994337i | \(-0.533893\pi\) | ||||
−0.106276 | + | 0.994337i | \(0.533893\pi\) | |||||||
\(182\) | 122.603 | − | 16.5893i | 0.673645 | − | 0.0911499i | ||||
\(183\) | − | 48.6788i | − | 0.266004i | ||||||
\(184\) | −35.2859 | + | 15.0634i | −0.191771 | + | 0.0818663i | ||||
\(185\) | −3.36491 | −0.0181887 | ||||||||
\(186\) | −6.96087 | − | 51.4444i | −0.0374240 | − | 0.276583i | ||||
\(187\) | − | 150.028i | − | 0.802286i | ||||||
\(188\) | −67.2023 | − | 243.783i | −0.357459 | − | 1.29672i | ||||
\(189\) | −17.9944 | −0.0952087 | ||||||||
\(190\) | 1.63776 | − | 0.221604i | 0.00861981 | − | 0.00116633i | ||||
\(191\) | − | 338.592i | − | 1.77273i | −0.462984 | − | 0.886367i | \(-0.653221\pi\) | ||
0.462984 | − | 0.886367i | \(-0.346779\pi\) | |||||||
\(192\) | 80.0547 | + | 76.6762i | 0.416952 | + | 0.399355i | ||||
\(193\) | −219.086 | −1.13516 | −0.567580 | − | 0.823318i | \(-0.692120\pi\) | ||||
−0.567580 | + | 0.823318i | \(0.692120\pi\) | |||||||
\(194\) | 9.52942 | + | 70.4273i | 0.0491207 | + | 0.363027i | ||||
\(195\) | − | 1.47846i | − | 0.00758185i | ||||||
\(196\) | −142.707 | + | 39.3391i | −0.728095 | + | 0.200710i | ||||
\(197\) | −123.819 | −0.628522 | −0.314261 | − | 0.949337i | \(-0.601757\pi\) | ||||
−0.314261 | + | 0.949337i | \(0.601757\pi\) | |||||||
\(198\) | 57.8582 | − | 7.82871i | 0.292213 | − | 0.0395389i | ||||
\(199\) | 221.174i | 1.11143i | 0.831374 | + | 0.555713i | \(0.187555\pi\) | ||||
−0.831374 | + | 0.555713i | \(0.812445\pi\) | |||||||
\(200\) | 78.5163 | + | 183.924i | 0.392581 | + | 0.919618i | ||||
\(201\) | −173.664 | −0.864000 | ||||||||
\(202\) | 42.3356 | + | 312.882i | 0.209582 | + | 1.54892i | ||||
\(203\) | − | 190.274i | − | 0.937309i | ||||||
\(204\) | −28.3867 | − | 102.976i | −0.139150 | − | 0.504782i | ||||
\(205\) | 2.33914 | 0.0114104 | ||||||||
\(206\) | −184.614 | + | 24.9799i | −0.896185 | + | 0.121262i | ||||
\(207\) | 14.3875i | 0.0695048i | ||||||||
\(208\) | −245.439 | + | 146.446i | −1.17999 | + | 0.704067i | ||||
\(209\) | −168.275 | −0.805143 | ||||||||
\(210\) | −0.0768648 | − | 0.568070i | −0.000366023 | − | 0.00270510i | ||||
\(211\) | 282.454i | 1.33864i | 0.742973 | + | 0.669322i | \(0.233415\pi\) | ||||
−0.742973 | + | 0.669322i | \(0.766585\pi\) | |||||||
\(212\) | −124.380 | + | 34.2871i | −0.586697 | + | 0.161731i | ||||
\(213\) | 66.2035 | 0.310815 | ||||||||
\(214\) | 29.4785 | − | 3.98870i | 0.137750 | − | 0.0186388i | ||||
\(215\) | − | 0.188775i | − | 0.000878022i | ||||||
\(216\) | 38.2313 | − | 16.3208i | 0.176997 | − | 0.0755592i | ||||
\(217\) | 51.8971 | 0.239157 | ||||||||
\(218\) | −3.71120 | − | 27.4276i | −0.0170238 | − | 0.125815i | ||||
\(219\) | − | 57.1253i | − | 0.260846i | ||||||
\(220\) | 0.494292 | + | 1.79309i | 0.00224678 | + | 0.00815043i | ||||
\(221\) | 275.406 | 1.24618 | ||||||||
\(222\) | 241.730 | − | 32.7082i | 1.08887 | − | 0.147334i | ||||
\(223\) | 65.0684i | 0.291787i | 0.989300 | + | 0.145893i | \(0.0466056\pi\) | ||||
−0.989300 | + | 0.145893i | \(0.953394\pi\) | |||||||
\(224\) | −86.6913 | + | 69.0292i | −0.387015 | + | 0.308166i | ||||
\(225\) | 74.9931 | 0.333303 | ||||||||
\(226\) | −3.00838 | − | 22.2335i | −0.0133114 | − | 0.0983781i | ||||
\(227\) | 226.622i | 0.998335i | 0.866506 | + | 0.499167i | \(0.166361\pi\) | ||||
−0.866506 | + | 0.499167i | \(0.833639\pi\) | |||||||
\(228\) | −115.500 | + | 31.8393i | −0.506580 | + | 0.139646i | ||||
\(229\) | 133.767 | 0.584138 | 0.292069 | − | 0.956397i | \(-0.405656\pi\) | ||||
0.292069 | + | 0.956397i | \(0.405656\pi\) | |||||||
\(230\) | −0.454201 | + | 0.0614574i | −0.00197479 | + | 0.000267206i | ||||
\(231\) | 58.3674i | 0.252673i | ||||||||
\(232\) | 172.576 | + | 404.259i | 0.743864 | + | 1.74249i | ||||
\(233\) | −29.5526 | −0.126835 | −0.0634177 | − | 0.997987i | \(-0.520200\pi\) | ||||
−0.0634177 | + | 0.997987i | \(0.520200\pi\) | |||||||
\(234\) | 14.3712 | + | 106.210i | 0.0614153 | + | 0.453890i | ||||
\(235\) | − | 3.02094i | − | 0.0128551i | ||||||
\(236\) | 15.2040 | + | 55.1539i | 0.0644236 | + | 0.233703i | ||||
\(237\) | 125.091 | 0.527812 | ||||||||
\(238\) | 105.819 | − | 14.3183i | 0.444619 | − | 0.0601608i | ||||
\(239\) | 94.9825i | 0.397416i | 0.980059 | + | 0.198708i | \(0.0636746\pi\) | ||||
−0.980059 | + | 0.198708i | \(0.936325\pi\) | |||||||
\(240\) | 0.678542 | + | 1.13722i | 0.00282726 | + | 0.00473840i | ||||
\(241\) | −314.015 | −1.30297 | −0.651483 | − | 0.758663i | \(-0.725853\pi\) | ||||
−0.651483 | + | 0.758663i | \(0.725853\pi\) | |||||||
\(242\) | 7.05553 | + | 52.1440i | 0.0291551 | + | 0.215471i | ||||
\(243\) | − | 15.5885i | − | 0.0641500i | ||||||
\(244\) | −108.376 | + | 29.8755i | −0.444166 | + | 0.122441i | ||||
\(245\) | −1.76841 | −0.00721800 | ||||||||
\(246\) | −168.040 | + | 22.7372i | −0.683089 | + | 0.0924278i | ||||
\(247\) | − | 308.903i | − | 1.25062i | ||||||
\(248\) | −110.262 | + | 47.0702i | −0.444603 | + | 0.189799i | ||||
\(249\) | 166.418 | 0.668344 | ||||||||
\(250\) | 0.640708 | + | 4.73516i | 0.00256283 | + | 0.0189406i | ||||
\(251\) | − | 216.740i | − | 0.863505i | −0.901992 | − | 0.431752i | \(-0.857895\pi\) | ||
0.901992 | − | 0.431752i | \(-0.142105\pi\) | |||||||
\(252\) | 11.0437 | + | 40.0621i | 0.0438242 | + | 0.158977i | ||||
\(253\) | 46.6678 | 0.184458 | ||||||||
\(254\) | −315.474 | + | 42.6864i | −1.24203 | + | 0.168057i | ||||
\(255\) | − | 1.27606i | − | 0.00500418i | ||||||
\(256\) | 121.577 | − | 225.289i | 0.474910 | − | 0.880034i | ||||
\(257\) | −211.672 | −0.823626 | −0.411813 | − | 0.911268i | \(-0.635104\pi\) | ||||
−0.411813 | + | 0.911268i | \(0.635104\pi\) | |||||||
\(258\) | 1.83496 | + | 13.5613i | 0.00711224 | + | 0.0525631i | ||||
\(259\) | 243.858i | 0.941535i | ||||||||
\(260\) | −3.29159 | + | 0.907373i | −0.0126599 | + | 0.00348989i | ||||
\(261\) | 164.833 | 0.631543 | ||||||||
\(262\) | 52.5964 | − | 7.11674i | 0.200749 | − | 0.0271631i | ||||
\(263\) | − | 16.6494i | − | 0.0633056i | −0.999499 | − | 0.0316528i | \(-0.989923\pi\) | ||
0.999499 | − | 0.0316528i | \(-0.0100771\pi\) | |||||||
\(264\) | −52.9386 | − | 124.008i | −0.200525 | − | 0.469728i | ||||
\(265\) | −1.54130 | −0.00581624 | ||||||||
\(266\) | −16.0598 | − | 118.690i | −0.0603750 | − | 0.446202i | ||||
\(267\) | 170.910i | 0.640113i | ||||||||
\(268\) | 106.582 | + | 386.638i | 0.397695 | + | 1.44268i | ||||
\(269\) | 59.6939 | 0.221911 | 0.110955 | − | 0.993825i | \(-0.464609\pi\) | ||||
0.110955 | + | 0.993825i | \(0.464609\pi\) | |||||||
\(270\) | 0.492115 | − | 0.0665874i | 0.00182265 | − | 0.000246620i | ||||
\(271\) | 299.684i | 1.10585i | 0.833232 | + | 0.552923i | \(0.186488\pi\) | ||||
−0.833232 | + | 0.552923i | \(0.813512\pi\) | |||||||
\(272\) | −211.839 | + | 126.398i | −0.778819 | + | 0.464698i | ||||
\(273\) | −107.145 | −0.392473 | ||||||||
\(274\) | −59.2272 | − | 437.719i | −0.216158 | − | 1.59752i | ||||
\(275\) | − | 243.250i | − | 0.884546i | ||||||
\(276\) | 32.0317 | − | 8.83000i | 0.116057 | − | 0.0319928i | ||||
\(277\) | 497.444 | 1.79583 | 0.897914 | − | 0.440171i | \(-0.145082\pi\) | ||||
0.897914 | + | 0.440171i | \(0.145082\pi\) | |||||||
\(278\) | 328.243 | − | 44.4141i | 1.18073 | − | 0.159763i | ||||
\(279\) | 44.9581i | 0.161140i | ||||||||
\(280\) | −1.21755 | + | 0.519769i | −0.00434840 | + | 0.00185632i | ||||
\(281\) | −507.767 | −1.80700 | −0.903500 | − | 0.428588i | \(-0.859011\pi\) | ||||
−0.903500 | + | 0.428588i | \(0.859011\pi\) | |||||||
\(282\) | 29.3646 | + | 217.020i | 0.104130 | + | 0.769573i | ||||
\(283\) | 517.680i | 1.82926i | 0.404295 | + | 0.914629i | \(0.367517\pi\) | ||||
−0.404295 | + | 0.914629i | \(0.632483\pi\) | |||||||
\(284\) | −40.6309 | − | 147.393i | −0.143067 | − | 0.518989i | ||||
\(285\) | −1.43127 | −0.00502200 | ||||||||
\(286\) | 344.507 | − | 46.6148i | 1.20457 | − | 0.162989i | ||||
\(287\) | − | 169.519i | − | 0.590658i | ||||||
\(288\) | −59.7995 | − | 75.1001i | −0.207637 | − | 0.260764i | ||||
\(289\) | −51.2964 | −0.177496 | ||||||||
\(290\) | 0.704097 | + | 5.20364i | 0.00242792 | + | 0.0179436i | ||||
\(291\) | − | 61.5476i | − | 0.211504i | ||||||
\(292\) | −127.181 | + | 35.0594i | −0.435553 | + | 0.120066i | ||||
\(293\) | 281.369 | 0.960304 | 0.480152 | − | 0.877185i | \(-0.340581\pi\) | ||||
0.480152 | + | 0.877185i | \(0.340581\pi\) | |||||||
\(294\) | 127.040 | − | 17.1896i | 0.432108 | − | 0.0584679i | ||||
\(295\) | 0.683463i | 0.00231682i | ||||||||
\(296\) | −221.176 | − | 518.104i | −0.747218 | − | 1.75035i | ||||
\(297\) | −50.5632 | −0.170247 | ||||||||
\(298\) | −49.2286 | − | 363.825i | −0.165197 | − | 1.22089i | ||||
\(299\) | 85.6681i | 0.286515i | ||||||||
\(300\) | −46.0254 | − | 166.962i | −0.153418 | − | 0.556539i | ||||
\(301\) | −13.6806 | −0.0454506 | ||||||||
\(302\) | 380.514 | − | 51.4869i | 1.25998 | − | 0.170486i | ||||
\(303\) | − | 273.433i | − | 0.902418i | ||||||
\(304\) | 141.771 | + | 237.604i | 0.466353 | + | 0.781593i | ||||
\(305\) | −1.34299 | −0.00440325 | ||||||||
\(306\) | 12.4038 | + | 91.6705i | 0.0405353 | + | 0.299577i | ||||
\(307\) | 183.035i | 0.596207i | 0.954534 | + | 0.298103i | \(0.0963540\pi\) | ||||
−0.954534 | + | 0.298103i | \(0.903646\pi\) | |||||||
\(308\) | 129.947 | − | 35.8217i | 0.421905 | − | 0.116304i | ||||
\(309\) | 161.337 | 0.522128 | ||||||||
\(310\) | −1.41929 | + | 0.192042i | −0.00457836 | + | 0.000619491i | ||||
\(311\) | 587.863i | 1.89023i | 0.326733 | + | 0.945117i | \(0.394052\pi\) | ||||
−0.326733 | + | 0.945117i | \(0.605948\pi\) | |||||||
\(312\) | 227.642 | − | 97.1796i | 0.729623 | − | 0.311473i | ||||
\(313\) | 270.236 | 0.863375 | 0.431688 | − | 0.902023i | \(-0.357918\pi\) | ||||
0.431688 | + | 0.902023i | \(0.357918\pi\) | |||||||
\(314\) | 25.3620 | + | 187.438i | 0.0807707 | + | 0.596937i | ||||
\(315\) | 0.496446i | 0.00157602i | ||||||||
\(316\) | −76.7720 | − | 278.498i | −0.242949 | − | 0.881324i | ||||
\(317\) | −136.489 | −0.430564 | −0.215282 | − | 0.976552i | \(-0.569067\pi\) | ||||
−0.215282 | + | 0.976552i | \(0.569067\pi\) | |||||||
\(318\) | 110.725 | − | 14.9820i | 0.348191 | − | 0.0471133i | ||||
\(319\) | − | 534.657i | − | 1.67604i | ||||||
\(320\) | 2.11541 | − | 2.20862i | 0.00661065 | − | 0.00690193i | ||||
\(321\) | −25.7618 | −0.0802547 | ||||||||
\(322\) | 4.45386 | + | 32.9163i | 0.0138319 | + | 0.102225i | ||||
\(323\) | − | 266.615i | − | 0.825433i | ||||||
\(324\) | −34.7055 | + | 9.56706i | −0.107116 | + | 0.0295280i | ||||
\(325\) | 446.535 | 1.37395 | ||||||||
\(326\) | 475.220 | − | 64.3014i | 1.45773 | − | 0.197243i | ||||
\(327\) | 23.9695i | 0.0733012i | ||||||||
\(328\) | 153.752 | + | 360.162i | 0.468756 | + | 1.09806i | ||||
\(329\) | −218.930 | −0.665440 | ||||||||
\(330\) | −0.215985 | − | 1.59624i | −0.000654500 | − | 0.00483709i | ||||
\(331\) | 243.989i | 0.737127i | 0.929603 | + | 0.368563i | \(0.120150\pi\) | ||||
−0.929603 | + | 0.368563i | \(0.879850\pi\) | |||||||
\(332\) | −102.135 | − | 370.505i | −0.307636 | − | 1.11598i | ||||
\(333\) | −211.252 | −0.634391 | ||||||||
\(334\) | −220.872 | + | 29.8858i | −0.661292 | + | 0.0894786i | ||||
\(335\) | 4.79119i | 0.0143021i | ||||||||
\(336\) | 82.4148 | − | 49.1744i | 0.245282 | − | 0.146352i | ||||
\(337\) | −275.255 | −0.816779 | −0.408390 | − | 0.912808i | \(-0.633910\pi\) | ||||
−0.408390 | + | 0.912808i | \(0.633910\pi\) | |||||||
\(338\) | 40.2496 | + | 297.465i | 0.119082 | + | 0.880075i | ||||
\(339\) | 19.4302i | 0.0573162i | ||||||||
\(340\) | −2.84098 | + | 0.783156i | −0.00835582 | + | 0.00230340i | ||||
\(341\) | 145.828 | 0.427647 | ||||||||
\(342\) | 102.820 | − | 13.9125i | 0.300644 | − | 0.0406797i | ||||
\(343\) | 297.846i | 0.868357i | ||||||||
\(344\) | 29.0661 | − | 12.4082i | 0.0844945 | − | 0.0360704i | ||||
\(345\) | 0.396934 | 0.00115053 | ||||||||
\(346\) | 8.43085 | + | 62.3083i | 0.0243666 | + | 0.180082i | ||||
\(347\) | − | 228.856i | − | 0.659527i | −0.944064 | − | 0.329764i | \(-0.893031\pi\) | ||
0.944064 | − | 0.329764i | \(-0.106969\pi\) | |||||||
\(348\) | −101.162 | − | 366.977i | −0.290697 | − | 1.05453i | ||||
\(349\) | −594.848 | −1.70444 | −0.852218 | − | 0.523186i | \(-0.824743\pi\) | ||||
−0.852218 | + | 0.523186i | \(0.824743\pi\) | |||||||
\(350\) | 171.572 | − | 23.2152i | 0.490207 | − | 0.0663292i | ||||
\(351\) | − | 92.8190i | − | 0.264442i | ||||||
\(352\) | −243.597 | + | 193.968i | −0.692037 | + | 0.551045i | ||||
\(353\) | 292.268 | 0.827956 | 0.413978 | − | 0.910287i | \(-0.364139\pi\) | ||||
0.413978 | + | 0.910287i | \(0.364139\pi\) | |||||||
\(354\) | −6.64350 | − | 49.0989i | −0.0187670 | − | 0.138697i | ||||
\(355\) | − | 1.82648i | − | 0.00514501i | ||||||
\(356\) | 380.507 | − | 104.892i | 1.06884 | − | 0.294641i | ||||
\(357\) | −92.4773 | −0.259040 | ||||||||
\(358\) | 16.4560 | − | 2.22664i | 0.0459666 | − | 0.00621968i | ||||
\(359\) | − | 260.326i | − | 0.725142i | −0.931956 | − | 0.362571i | \(-0.881899\pi\) | ||
0.931956 | − | 0.362571i | \(-0.118101\pi\) | |||||||
\(360\) | −0.450272 | − | 1.05476i | −0.00125075 | − | 0.00292988i | ||||
\(361\) | 61.9574 | 0.171627 | ||||||||
\(362\) | −10.3171 | − | 76.2490i | −0.0285004 | − | 0.210632i | ||||
\(363\) | − | 45.5695i | − | 0.125536i | ||||||
\(364\) | 65.7579 | + | 238.543i | 0.180654 | + | 0.655339i | ||||
\(365\) | −1.57602 | −0.00431787 | ||||||||
\(366\) | 96.4784 | − | 13.0544i | 0.263602 | − | 0.0356676i | ||||
\(367\) | 368.601i | 1.00436i | 0.864763 | + | 0.502181i | \(0.167469\pi\) | ||||
−0.864763 | + | 0.502181i | \(0.832531\pi\) | |||||||
\(368\) | −39.3175 | − | 65.8949i | −0.106841 | − | 0.179062i | ||||
\(369\) | 146.853 | 0.397975 | ||||||||
\(370\) | −0.902381 | − | 6.66905i | −0.00243887 | − | 0.0180245i | ||||
\(371\) | 111.699i | 0.301077i | ||||||||
\(372\) | 100.093 | − | 27.5920i | 0.269067 | − | 0.0741721i | ||||
\(373\) | −439.176 | −1.17742 | −0.588708 | − | 0.808346i | \(-0.700363\pi\) | ||||
−0.588708 | + | 0.808346i | \(0.700363\pi\) | |||||||
\(374\) | 297.345 | − | 40.2334i | 0.795041 | − | 0.107576i | ||||
\(375\) | − | 4.13814i | − | 0.0110350i | ||||||
\(376\) | 465.141 | − | 198.567i | 1.23708 | − | 0.528104i | ||||
\(377\) | 981.471 | 2.60337 | ||||||||
\(378\) | −4.82563 | − | 35.6639i | −0.0127662 | − | 0.0943489i | ||||
\(379\) | − | 226.718i | − | 0.598201i | −0.954222 | − | 0.299101i | \(-0.903313\pi\) | ||
0.954222 | − | 0.299101i | \(-0.0966866\pi\) | |||||||
\(380\) | 0.878409 | + | 3.18652i | 0.00231160 | + | 0.00838558i | ||||
\(381\) | 275.698 | 0.723618 | ||||||||
\(382\) | 671.069 | − | 90.8014i | 1.75672 | − | 0.237700i | ||||
\(383\) | 469.477i | 1.22579i | 0.790165 | + | 0.612895i | \(0.209995\pi\) | ||||
−0.790165 | + | 0.612895i | \(0.790005\pi\) | |||||||
\(384\) | −130.499 | + | 179.226i | −0.339841 | + | 0.466735i | ||||
\(385\) | 1.61029 | 0.00418257 | ||||||||
\(386\) | −58.7531 | − | 434.215i | −0.152210 | − | 1.12491i | ||||
\(387\) | − | 11.8514i | − | 0.0306239i | ||||||
\(388\) | −137.027 | + | 37.7735i | −0.353163 | + | 0.0973543i | ||||
\(389\) | −57.1286 | −0.146860 | −0.0734301 | − | 0.997300i | \(-0.523395\pi\) | ||||
−0.0734301 | + | 0.997300i | \(0.523395\pi\) | |||||||
\(390\) | 2.93022 | − | 0.396484i | 0.00751339 | − | 0.00101663i | ||||
\(391\) | 73.9404i | 0.189106i | ||||||||
\(392\) | −116.238 | − | 272.286i | −0.296525 | − | 0.694608i | ||||
\(393\) | −45.9649 | −0.116959 | ||||||||
\(394\) | −33.2049 | − | 245.401i | −0.0842764 | − | 0.622846i | ||||
\(395\) | − | 3.45113i | − | 0.00873703i | ||||||
\(396\) | 31.0320 | + | 112.572i | 0.0783638 | + | 0.284272i | ||||
\(397\) | −10.4521 | −0.0263278 | −0.0131639 | − | 0.999913i | \(-0.504190\pi\) | ||||
−0.0131639 | + | 0.999913i | \(0.504190\pi\) | |||||||
\(398\) | −438.353 | + | 59.3129i | −1.10139 | + | 0.149027i | ||||
\(399\) | 103.725i | 0.259963i | ||||||||
\(400\) | −343.469 | + | 204.938i | −0.858674 | + | 0.512345i | ||||
\(401\) | −83.8175 | −0.209021 | −0.104511 | − | 0.994524i | \(-0.533328\pi\) | ||||
−0.104511 | + | 0.994524i | \(0.533328\pi\) | |||||||
\(402\) | −46.5721 | − | 344.191i | −0.115851 | − | 0.856197i | ||||
\(403\) | 267.696i | 0.664258i | ||||||||
\(404\) | −608.759 | + | 167.813i | −1.50683 | + | 0.415379i | ||||
\(405\) | −0.430068 | −0.00106190 | ||||||||
\(406\) | 377.111 | − | 51.0264i | 0.928845 | − | 0.125681i | ||||
\(407\) | 685.224i | 1.68360i | ||||||||
\(408\) | 196.479 | − | 83.8760i | 0.481566 | − | 0.205578i | ||||
\(409\) | −71.5858 | −0.175026 | −0.0875132 | − | 0.996163i | \(-0.527892\pi\) | ||||
−0.0875132 | + | 0.996163i | \(0.527892\pi\) | |||||||
\(410\) | 0.627294 | + | 4.63603i | 0.00152999 | + | 0.0113074i | ||||
\(411\) | 382.530i | 0.930731i | ||||||||
\(412\) | −99.0172 | − | 359.195i | −0.240333 | − | 0.871833i | ||||
\(413\) | 49.5310 | 0.119930 | ||||||||
\(414\) | −28.5151 | + | 3.85834i | −0.0688771 | + | 0.00931967i | ||||
\(415\) | − | 4.59127i | − | 0.0110633i | ||||||
\(416\) | −356.067 | − | 447.172i | −0.855930 | − | 1.07493i | ||||
\(417\) | −286.857 | −0.687906 | ||||||||
\(418\) | −45.1269 | − | 333.511i | −0.107959 | − | 0.797873i | ||||
\(419\) | 829.838i | 1.98052i | 0.139226 | + | 0.990261i | \(0.455538\pi\) | ||||
−0.139226 | + | 0.990261i | \(0.544462\pi\) | |||||||
\(420\) | 1.10527 | − | 0.304683i | 0.00263159 | − | 0.000725435i | ||||
\(421\) | 272.371 | 0.646962 | 0.323481 | − | 0.946235i | \(-0.395147\pi\) | ||||
0.323481 | + | 0.946235i | \(0.395147\pi\) | |||||||
\(422\) | −559.806 | + | 75.7466i | −1.32655 | + | 0.179494i | ||||
\(423\) | − | 189.657i | − | 0.448362i | ||||||
\(424\) | −101.310 | − | 237.318i | −0.238939 | − | 0.559713i | ||||
\(425\) | 385.406 | 0.906837 | ||||||||
\(426\) | 17.7540 | + | 131.211i | 0.0416761 | + | 0.308008i | ||||
\(427\) | 97.3275i | 0.227933i | ||||||||
\(428\) | 15.8107 | + | 57.3549i | 0.0369409 | + | 0.134007i | ||||
\(429\) | −301.071 | −0.701797 | ||||||||
\(430\) | 0.374140 | − | 0.0506244i | 0.000870093 | − | 0.000117731i | ||||
\(431\) | − | 610.627i | − | 1.41677i | −0.705827 | − | 0.708384i | \(-0.749424\pi\) | ||
0.705827 | − | 0.708384i | \(-0.250576\pi\) | |||||||
\(432\) | 42.5994 | + | 71.3953i | 0.0986098 | + | 0.165267i | ||||
\(433\) | −289.438 | −0.668448 | −0.334224 | − | 0.942494i | \(-0.608474\pi\) | ||||
−0.334224 | + | 0.942494i | \(0.608474\pi\) | |||||||
\(434\) | 13.9174 | + | 102.857i | 0.0320678 | + | 0.236998i | ||||
\(435\) | − | 4.54755i | − | 0.0104541i | ||||||
\(436\) | 53.3647 | − | 14.7107i | 0.122396 | − | 0.0337402i | ||||
\(437\) | 82.9336 | 0.189779 | ||||||||
\(438\) | 113.219 | − | 15.3195i | 0.258491 | − | 0.0349760i | ||||
\(439\) | − | 223.686i | − | 0.509536i | −0.967002 | − | 0.254768i | \(-0.918001\pi\) | ||
0.967002 | − | 0.254768i | \(-0.0819991\pi\) | |||||||
\(440\) | −3.42125 | + | 1.46052i | −0.00777556 | + | 0.00331936i | ||||
\(441\) | −111.022 | −0.251751 | ||||||||
\(442\) | 73.8565 | + | 545.838i | 0.167096 | + | 1.23493i | ||||
\(443\) | 640.324i | 1.44543i | 0.691147 | + | 0.722714i | \(0.257105\pi\) | ||||
−0.691147 | + | 0.722714i | \(0.742895\pi\) | |||||||
\(444\) | 129.651 | + | 470.323i | 0.292007 | + | 1.05929i | ||||
\(445\) | 4.71521 | 0.0105960 | ||||||||
\(446\) | −128.962 | + | 17.4496i | −0.289152 | + | 0.0391247i | ||||
\(447\) | 317.953i | 0.711304i | ||||||||
\(448\) | −160.060 | − | 153.305i | −0.357277 | − | 0.342199i | ||||
\(449\) | 29.5031 | 0.0657085 | 0.0328543 | − | 0.999460i | \(-0.489540\pi\) | ||||
0.0328543 | + | 0.999460i | \(0.489540\pi\) | |||||||
\(450\) | 20.1112 | + | 148.632i | 0.0446915 | + | 0.330293i | ||||
\(451\) | − | 476.337i | − | 1.05618i | ||||||
\(452\) | 43.2586 | − | 11.9248i | 0.0957048 | − | 0.0263824i | ||||
\(453\) | −332.538 | −0.734080 | ||||||||
\(454\) | −449.151 | + | 60.7740i | −0.989320 | + | 0.133863i | ||||
\(455\) | 2.95601i | 0.00649673i | ||||||||
\(456\) | −94.0776 | − | 220.376i | −0.206311 | − | 0.483281i | ||||
\(457\) | −470.582 | −1.02972 | −0.514860 | − | 0.857275i | \(-0.672156\pi\) | ||||
−0.514860 | + | 0.857275i | \(0.672156\pi\) | |||||||
\(458\) | 35.8729 | + | 265.119i | 0.0783251 | + | 0.578863i | ||||
\(459\) | − | 80.1124i | − | 0.174537i | ||||||
\(460\) | −0.243610 | − | 0.883718i | −0.000529586 | − | 0.00192113i | ||||
\(461\) | 190.008 | 0.412164 | 0.206082 | − | 0.978535i | \(-0.433929\pi\) | ||||
0.206082 | + | 0.978535i | \(0.433929\pi\) | |||||||
\(462\) | −115.681 | + | 15.6526i | −0.250391 | + | 0.0338801i | ||||
\(463\) | 300.412i | 0.648839i | 0.945913 | + | 0.324419i | \(0.105169\pi\) | ||||
−0.945913 | + | 0.324419i | \(0.894831\pi\) | |||||||
\(464\) | −754.936 | + | 450.448i | −1.62702 | + | 0.970792i | ||||
\(465\) | 1.24034 | 0.00266740 | ||||||||
\(466\) | −7.92523 | − | 58.5715i | −0.0170069 | − | 0.125690i | ||||
\(467\) | 226.500i | 0.485011i | 0.970150 | + | 0.242505i | \(0.0779692\pi\) | ||||
−0.970150 | + | 0.242505i | \(0.922031\pi\) | |||||||
\(468\) | −206.648 | + | 56.9656i | −0.441557 | + | 0.121721i | ||||
\(469\) | 347.221 | 0.740343 | ||||||||
\(470\) | 5.98732 | − | 0.810136i | 0.0127390 | − | 0.00172369i | ||||
\(471\) | − | 163.805i | − | 0.347782i | ||||||
\(472\) | −105.234 | + | 44.9241i | −0.222954 | + | 0.0951783i | ||||
\(473\) | −38.4417 | −0.0812721 | ||||||||
\(474\) | 33.5462 | + | 247.924i | 0.0707726 | + | 0.523046i | ||||
\(475\) | − | 432.282i | − | 0.910067i | ||||||
\(476\) | 56.7559 | + | 205.888i | 0.119235 | + | 0.432537i | ||||
\(477\) | −96.7644 | −0.202860 | ||||||||
\(478\) | −188.249 | + | 25.4718i | −0.393827 | + | 0.0532882i | ||||
\(479\) | − | 804.128i | − | 1.67876i | −0.543541 | − | 0.839382i | \(-0.682917\pi\) | ||
0.543541 | − | 0.839382i | \(-0.317083\pi\) | |||||||
\(480\) | −2.07192 | + | 1.64980i | −0.00431651 | + | 0.00343708i | ||||
\(481\) | −1257.87 | −2.61511 | ||||||||
\(482\) | −84.2105 | − | 622.359i | −0.174711 | − | 1.29120i | ||||
\(483\) | − | 28.7661i | − | 0.0595572i | ||||||
\(484\) | −101.454 | + | 27.9673i | −0.209616 | + | 0.0577836i | ||||
\(485\) | −1.69803 | −0.00350109 | ||||||||
\(486\) | 30.8954 | − | 4.18041i | 0.0635707 | − | 0.00860167i | ||||
\(487\) | 400.568i | 0.822522i | 0.911518 | + | 0.411261i | \(0.134911\pi\) | ||||
−0.911518 | + | 0.411261i | \(0.865089\pi\) | |||||||
\(488\) | −88.2751 | − | 206.784i | −0.180892 | − | 0.423737i | ||||
\(489\) | −415.303 | −0.849290 | ||||||||
\(490\) | −0.474241 | − | 3.50488i | −0.000967838 | − | 0.00715282i | ||||
\(491\) | 31.0832i | 0.0633058i | 0.999499 | + | 0.0316529i | \(0.0100771\pi\) | ||||
−0.999499 | + | 0.0316529i | \(0.989923\pi\) | |||||||
\(492\) | −90.1277 | − | 326.947i | −0.183186 | − | 0.664527i | ||||
\(493\) | 847.111 | 1.71828 | ||||||||
\(494\) | 612.226 | − | 82.8395i | 1.23932 | − | 0.167691i | ||||
\(495\) | 1.39498i | 0.00281814i | ||||||||
\(496\) | −122.859 | − | 205.909i | −0.247701 | − | 0.415138i | ||||
\(497\) | −132.366 | −0.266330 | ||||||||
\(498\) | 44.6288 | + | 329.829i | 0.0896160 | + | 0.662308i | ||||
\(499\) | − | 474.845i | − | 0.951592i | −0.879556 | − | 0.475796i | \(-0.842160\pi\) | ||
0.879556 | − | 0.475796i | \(-0.157840\pi\) | |||||||
\(500\) | −9.21298 | + | 2.53969i | −0.0184260 | + | 0.00507938i | ||||
\(501\) | 193.024 | 0.385277 | ||||||||
\(502\) | 429.565 | − | 58.1238i | 0.855707 | − | 0.115785i | ||||
\(503\) | 228.040i | 0.453360i | 0.973969 | + | 0.226680i | \(0.0727871\pi\) | ||||
−0.973969 | + | 0.226680i | \(0.927213\pi\) | |||||||
\(504\) | −76.4390 | + | 32.6315i | −0.151665 | + | 0.0647451i | ||||
\(505\) | −7.54369 | −0.0149380 | ||||||||
\(506\) | 12.5151 | + | 92.4927i | 0.0247333 | + | 0.182792i | ||||
\(507\) | − | 259.960i | − | 0.512742i | ||||||
\(508\) | −169.204 | − | 613.804i | −0.333078 | − | 1.20827i | ||||
\(509\) | 41.8631 | 0.0822457 | 0.0411229 | − | 0.999154i | \(-0.486906\pi\) | ||||
0.0411229 | + | 0.999154i | \(0.486906\pi\) | |||||||
\(510\) | 2.52908 | − | 0.342207i | 0.00495899 | − | 0.000670994i | ||||
\(511\) | 114.215i | 0.223513i | ||||||||
\(512\) | 479.112 | + | 180.542i | 0.935766 | + | 0.352620i | ||||
\(513\) | −89.8563 | −0.175158 | ||||||||
\(514\) | −56.7648 | − | 419.521i | −0.110437 | − | 0.816188i | ||||
\(515\) | − | 4.45112i | − | 0.00864294i | ||||||
\(516\) | −26.3855 | + | 7.27355i | −0.0511348 | + | 0.0140960i | ||||
\(517\) | −615.178 | −1.18990 | ||||||||
\(518\) | −483.311 | + | 65.3961i | −0.933033 | + | 0.126247i | ||||
\(519\) | − | 54.4523i | − | 0.104918i | ||||||
\(520\) | −2.68107 | − | 6.28039i | −0.00515591 | − | 0.0120777i | ||||
\(521\) | −655.856 | −1.25884 | −0.629420 | − | 0.777065i | \(-0.716708\pi\) | ||||
−0.629420 | + | 0.777065i | \(0.716708\pi\) | |||||||
\(522\) | 44.2038 | + | 326.689i | 0.0846816 | + | 0.625840i | ||||
\(523\) | − | 957.377i | − | 1.83055i | −0.402831 | − | 0.915274i | \(-0.631974\pi\) | ||
0.402831 | − | 0.915274i | \(-0.368026\pi\) | |||||||
\(524\) | 28.2099 | + | 102.334i | 0.0538357 | + | 0.195294i | ||||
\(525\) | −149.940 | −0.285600 | ||||||||
\(526\) | 32.9981 | − | 4.46492i | 0.0627340 | − | 0.00848845i | ||||
\(527\) | 231.049i | 0.438424i | ||||||||
\(528\) | 231.580 | − | 138.177i | 0.438599 | − | 0.261699i | ||||
\(529\) | −23.0000 | −0.0434783 | ||||||||
\(530\) | −0.413337 | − | 3.05477i | −0.000779881 | − | 0.00576372i | ||||
\(531\) | 42.9084i | 0.0808067i | ||||||||
\(532\) | 230.929 | − | 63.6589i | 0.434077 | − | 0.119660i | ||||
\(533\) | 874.413 | 1.64055 | ||||||||
\(534\) | −338.733 | + | 45.8336i | −0.634332 | + | 0.0858306i | ||||
\(535\) | 0.710738i | 0.00132848i | ||||||||
\(536\) | −737.711 | + | 314.926i | −1.37633 | + | 0.587548i | ||||
\(537\) | −14.3812 | −0.0267807 | ||||||||
\(538\) | 16.0083 | + | 118.310i | 0.0297553 | + | 0.219907i | ||||
\(539\) | 360.115i | 0.668117i | ||||||||
\(540\) | 0.263944 | + | 0.957485i | 0.000488786 | + | 0.00177312i | ||||
\(541\) | 316.460 | 0.584953 | 0.292477 | − | 0.956273i | \(-0.405521\pi\) | ||||
0.292477 | + | 0.956273i | \(0.405521\pi\) | |||||||
\(542\) | −593.956 | + | 80.3674i | −1.09586 | + | 0.148279i | ||||
\(543\) | 66.6353i | 0.122717i | ||||||||
\(544\) | −307.322 | − | 385.955i | −0.564931 | − | 0.709476i | ||||
\(545\) | 0.661290 | 0.00121338 | ||||||||
\(546\) | −28.7335 | − | 212.355i | −0.0526254 | − | 0.388929i | ||||
\(547\) | − | 373.534i | − | 0.682878i | −0.939904 | − | 0.341439i | \(-0.889086\pi\) | ||
0.939904 | − | 0.341439i | \(-0.110914\pi\) | |||||||
\(548\) | 851.650 | − | 234.769i | 1.55411 | − | 0.428411i | ||||
\(549\) | −84.3141 | −0.153578 | ||||||||
\(550\) | 482.107 | − | 65.2333i | 0.876559 | − | 0.118606i | ||||
\(551\) | − | 950.143i | − | 1.72440i | ||||||
\(552\) | 26.0906 | + | 61.1169i | 0.0472655 | + | 0.110719i | ||||
\(553\) | −250.106 | −0.452271 | ||||||||
\(554\) | 133.401 | + | 985.904i | 0.240797 | + | 1.77961i | ||||
\(555\) | 5.82820i | 0.0105013i | ||||||||
\(556\) | 176.052 | + | 638.646i | 0.316640 | + | 1.14864i | ||||
\(557\) | 967.145 | 1.73635 | 0.868174 | − | 0.496261i | \(-0.165294\pi\) | ||||
0.868174 | + | 0.496261i | \(0.165294\pi\) | |||||||
\(558\) | −89.1042 | + | 12.0566i | −0.159685 | + | 0.0216068i | ||||
\(559\) | − | 70.5675i | − | 0.126239i | ||||||
\(560\) | −1.35667 | − | 2.27373i | −0.00242262 | − | 0.00406023i | ||||
\(561\) | −259.855 | −0.463200 | ||||||||
\(562\) | −136.170 | − | 1006.36i | −0.242295 | − | 1.79068i | ||||
\(563\) | 642.703i | 1.14157i | 0.821100 | + | 0.570784i | \(0.193361\pi\) | ||||
−0.821100 | + | 0.570784i | \(0.806639\pi\) | |||||||
\(564\) | −422.245 | + | 116.398i | −0.748661 | + | 0.206379i | ||||
\(565\) | 0.536057 | 0.000948773 | ||||||||
\(566\) | −1026.01 | + | 138.828i | −1.81274 | + | 0.245279i | ||||
\(567\) | 31.1673i | 0.0549688i | ||||||||
\(568\) | 281.227 | − | 120.055i | 0.495119 | − | 0.211364i | ||||
\(569\) | 580.263 | 1.01980 | 0.509898 | − | 0.860235i | \(-0.329683\pi\) | ||||
0.509898 | + | 0.860235i | \(0.329683\pi\) | |||||||
\(570\) | −0.383829 | − | 2.83669i | −0.000673383 | − | 0.00497665i | ||||
\(571\) | − | 145.311i | − | 0.254485i | −0.991872 | − | 0.127243i | \(-0.959387\pi\) | ||
0.991872 | − | 0.127243i | \(-0.0406127\pi\) | |||||||
\(572\) | 184.775 | + | 670.292i | 0.323034 | + | 1.17184i | ||||
\(573\) | −586.459 | −1.02349 | ||||||||
\(574\) | 335.976 | − | 45.4605i | 0.585324 | − | 0.0791994i | ||||
\(575\) | 119.885i | 0.208495i | ||||||||
\(576\) | 132.807 | − | 138.659i | 0.230568 | − | 0.240727i | ||||
\(577\) | 476.475 | 0.825780 | 0.412890 | − | 0.910781i | \(-0.364519\pi\) | ||||
0.412890 | + | 0.910781i | \(0.364519\pi\) | |||||||
\(578\) | −13.7563 | − | 101.666i | −0.0237999 | − | 0.175893i | ||||
\(579\) | 379.468i | 0.655385i | ||||||||
\(580\) | −10.1245 | + | 2.79095i | −0.0174560 | + | 0.00481199i | ||||
\(581\) | −332.732 | −0.572689 | ||||||||
\(582\) | 121.984 | − | 16.5054i | 0.209594 | − | 0.0283599i | ||||
\(583\) | 313.868i | 0.538367i | ||||||||
\(584\) | −103.592 | − | 242.664i | −0.177384 | − | 0.415520i | ||||
\(585\) | −2.56077 | −0.00437739 | ||||||||
\(586\) | 75.4557 | + | 557.656i | 0.128764 | + | 0.951632i | ||||
\(587\) | 352.005i | 0.599668i | 0.953991 | + | 0.299834i | \(0.0969314\pi\) | ||||
−0.953991 | + | 0.299834i | \(0.903069\pi\) | |||||||
\(588\) | 68.1374 | + | 247.175i | 0.115880 | + | 0.420366i | ||||
\(589\) | 259.151 | 0.439985 | ||||||||
\(590\) | −1.35458 | + | 0.183287i | −0.00229590 | + | 0.000310655i | ||||
\(591\) | 214.460i | 0.362877i | ||||||||
\(592\) | 967.537 | − | 577.300i | 1.63435 | − | 0.975169i | ||||
\(593\) | −250.648 | −0.422678 | −0.211339 | − | 0.977413i | \(-0.567782\pi\) | ||||
−0.211339 | + | 0.977413i | \(0.567782\pi\) | |||||||
\(594\) | −13.5597 | − | 100.213i | −0.0228278 | − | 0.168709i | ||||
\(595\) | 2.55134i | 0.00428797i | ||||||||
\(596\) | 707.877 | − | 195.136i | 1.18771 | − | 0.327410i | ||||
\(597\) | 383.084 | 0.641682 | ||||||||
\(598\) | −169.789 | + | 22.9739i | −0.283928 | + | 0.0384179i | ||||
\(599\) | − | 262.165i | − | 0.437671i | −0.975762 | − | 0.218836i | \(-0.929774\pi\) | ||
0.975762 | − | 0.218836i | \(-0.0702258\pi\) | |||||||
\(600\) | 318.565 | − | 135.994i | 0.530942 | − | 0.226657i | ||||
\(601\) | −590.394 | −0.982353 | −0.491176 | − | 0.871060i | \(-0.663433\pi\) | ||||
−0.491176 | + | 0.871060i | \(0.663433\pi\) | |||||||
\(602\) | −3.66879 | − | 27.1142i | −0.00609433 | − | 0.0450402i | ||||
\(603\) | 300.795i | 0.498830i | ||||||||
\(604\) | 204.088 | + | 740.349i | 0.337894 | + | 1.22574i | ||||
\(605\) | −1.25721 | −0.00207803 | ||||||||
\(606\) | 541.927 | − | 73.3274i | 0.894269 | − | 0.121002i | ||||
\(607\) | − | 232.303i | − | 0.382707i | −0.981521 | − | 0.191354i | \(-0.938712\pi\) | ||
0.981521 | − | 0.191354i | \(-0.0612877\pi\) | |||||||
\(608\) | −432.898 | + | 344.701i | −0.712003 | + | 0.566943i | ||||
\(609\) | −329.564 | −0.541156 | ||||||||
\(610\) | −0.360155 | − | 2.66173i | −0.000590418 | − | 0.00436349i | ||||
\(611\) | − | 1129.28i | − | 1.84826i | ||||||
\(612\) | −178.359 | + | 49.1672i | −0.291436 | + | 0.0803385i | ||||
\(613\) | 358.929 | 0.585529 | 0.292765 | − | 0.956185i | \(-0.405425\pi\) | ||||
0.292765 | + | 0.956185i | \(0.405425\pi\) | |||||||
\(614\) | −362.765 | + | 49.0853i | −0.590823 | + | 0.0799434i | ||||
\(615\) | − | 4.05150i | − | 0.00658781i | ||||||
\(616\) | 105.845 | + | 247.940i | 0.171826 | + | 0.402500i | ||||
\(617\) | 668.434 | 1.08336 | 0.541681 | − | 0.840584i | \(-0.317788\pi\) | ||||
0.541681 | + | 0.840584i | \(0.317788\pi\) | |||||||
\(618\) | 43.2664 | + | 319.761i | 0.0700104 | + | 0.517413i | ||||
\(619\) | − | 955.717i | − | 1.54397i | −0.635641 | − | 0.771985i | \(-0.719264\pi\) | ||
0.635641 | − | 0.771985i | \(-0.280736\pi\) | |||||||
\(620\) | −0.761232 | − | 2.76145i | −0.00122779 | − | 0.00445395i | ||||
\(621\) | 24.9199 | 0.0401286 | ||||||||
\(622\) | −1165.11 | + | 157.649i | −1.87316 | + | 0.253455i | ||||
\(623\) | − | 341.715i | − | 0.548499i | ||||||
\(624\) | 253.652 | + | 425.112i | 0.406493 | + | 0.681270i | ||||
\(625\) | 624.829 | 0.999726 | ||||||||
\(626\) | 72.4702 | + | 535.592i | 0.115767 | + | 0.855578i | ||||
\(627\) | 291.461i | 0.464850i | ||||||||
\(628\) | −364.689 | + | 100.532i | −0.580716 | + | 0.160083i | ||||
\(629\) | −1085.67 | −1.72602 | ||||||||
\(630\) | −0.983926 | + | 0.133134i | −0.00156179 | + | 0.000211323i | ||||
\(631\) | − | 1030.91i | − | 1.63378i | −0.576796 | − | 0.816888i | \(-0.695697\pi\) | ||
0.576796 | − | 0.816888i | \(-0.304303\pi\) | |||||||
\(632\) | 531.379 | − | 226.843i | 0.840789 | − | 0.358929i | ||||
\(633\) | 489.224 | 0.772866 | ||||||||
\(634\) | −36.6027 | − | 270.512i | −0.0577329 | − | 0.426676i | ||||
\(635\) | − | 7.60620i | − | 0.0119783i | ||||||
\(636\) | 59.3870 | + | 215.432i | 0.0933757 | + | 0.338730i | ||||
\(637\) | −661.064 | −1.03778 | ||||||||
\(638\) | 1059.66 | − | 143.381i | 1.66091 | − | 0.224735i | ||||
\(639\) | − | 114.668i | − | 0.179449i | ||||||
\(640\) | 4.94464 | + | 3.60032i | 0.00772600 | + | 0.00562550i | ||||
\(641\) | −133.815 | −0.208760 | −0.104380 | − | 0.994538i | \(-0.533286\pi\) | ||||
−0.104380 | + | 0.994538i | \(0.533286\pi\) | |||||||
\(642\) | −6.90862 | − | 51.0583i | −0.0107611 | − | 0.0795300i | ||||
\(643\) | − | 1169.73i | − | 1.81918i | −0.415504 | − | 0.909592i | \(-0.636395\pi\) | ||
0.415504 | − | 0.909592i | \(-0.363605\pi\) | |||||||
\(644\) | −64.0437 | + | 17.6546i | −0.0994467 | + | 0.0274139i | ||||
\(645\) | −0.326968 | −0.000506926 | ||||||||
\(646\) | 528.415 | − | 71.4990i | 0.817979 | − | 0.110680i | ||||
\(647\) | − | 832.481i | − | 1.28668i | −0.765581 | − | 0.643340i | \(-0.777548\pi\) | ||
0.765581 | − | 0.643340i | \(-0.222452\pi\) | |||||||
\(648\) | −28.2684 | − | 66.2185i | −0.0436241 | − | 0.102189i | ||||
\(649\) | 139.179 | 0.214451 | ||||||||
\(650\) | 119.749 | + | 885.005i | 0.184229 | + | 1.36155i | ||||
\(651\) | − | 89.8885i | − | 0.138078i | ||||||
\(652\) | 254.883 | + | 924.613i | 0.390925 | + | 1.41812i | ||||
\(653\) | 543.043 | 0.831612 | 0.415806 | − | 0.909453i | \(-0.363500\pi\) | ||||
0.415806 | + | 0.909453i | \(0.363500\pi\) | |||||||
\(654\) | −47.5061 | + | 6.42798i | −0.0726392 | + | 0.00982871i | ||||
\(655\) | 1.26812i | 0.00193606i | ||||||||
\(656\) | −672.588 | + | 401.313i | −1.02529 | + | 0.611758i | ||||
\(657\) | −98.9439 | −0.150600 | ||||||||
\(658\) | −58.7111 | − | 433.905i | −0.0892266 | − | 0.659431i | ||||
\(659\) | − | 313.838i | − | 0.476234i | −0.971236 | − | 0.238117i | \(-0.923470\pi\) | ||
0.971236 | − | 0.238117i | \(-0.0765302\pi\) | |||||||
\(660\) | 3.10573 | − | 0.856139i | 0.00470565 | − | 0.00129718i | ||||
\(661\) | 720.463 | 1.08996 | 0.544980 | − | 0.838449i | \(-0.316537\pi\) | ||||
0.544980 | + | 0.838449i | \(0.316537\pi\) | |||||||
\(662\) | −483.571 | + | 65.4314i | −0.730470 | + | 0.0988389i | ||||
\(663\) | − | 477.017i | − | 0.719482i | ||||||
\(664\) | 706.929 | − | 301.785i | 1.06465 | − | 0.454496i | ||||
\(665\) | 2.86166 | 0.00430324 | ||||||||
\(666\) | −56.6522 | − | 418.689i | −0.0850634 | − | 0.628662i | ||||
\(667\) | 263.503i | 0.395058i | ||||||||
\(668\) | −118.464 | − | 429.740i | −0.177341 | − | 0.643323i | ||||
\(669\) | 112.702 | 0.168463 | ||||||||
\(670\) | −9.49584 | + | 1.28487i | −0.0141729 | + | 0.00191772i | ||||
\(671\) | 273.484i | 0.407577i | ||||||||
\(672\) | 119.562 | + | 150.154i | 0.177920 | + | 0.223443i | ||||
\(673\) | −1197.47 | −1.77930 | −0.889652 | − | 0.456639i | \(-0.849053\pi\) | ||||
−0.889652 | + | 0.456639i | \(0.849053\pi\) | |||||||
\(674\) | −73.8160 | − | 545.538i | −0.109519 | − | 0.809403i | ||||
\(675\) | − | 129.892i | − | 0.192433i | ||||||
\(676\) | −578.764 | + | 159.545i | −0.856160 | + | 0.236013i | ||||
\(677\) | 867.721 | 1.28172 | 0.640858 | − | 0.767660i | \(-0.278579\pi\) | ||||
0.640858 | + | 0.767660i | \(0.278579\pi\) | |||||||
\(678\) | −38.5095 | + | 5.21066i | −0.0567986 | + | 0.00768535i | ||||
\(679\) | 123.057i | 0.181233i | ||||||||
\(680\) | −2.31404 | − | 5.42062i | −0.00340300 | − | 0.00797151i | ||||
\(681\) | 392.521 | 0.576389 | ||||||||
\(682\) | 39.1071 | + | 289.022i | 0.0573418 | + | 0.423785i | ||||
\(683\) | 753.952i | 1.10388i | 0.833883 | + | 0.551941i | \(0.186113\pi\) | ||||
−0.833883 | + | 0.551941i | \(0.813887\pi\) | |||||||
\(684\) | 55.1473 | + | 200.052i | 0.0806247 | + | 0.292474i | ||||
\(685\) | 10.5536 | 0.0154067 | ||||||||
\(686\) | −590.314 | + | 79.8745i | −0.860515 | + | 0.116435i | ||||
\(687\) | − | 231.692i | − | 0.337252i | ||||||
\(688\) | 32.3871 | + | 54.2797i | 0.0470742 | + | 0.0788949i | ||||
\(689\) | −576.168 | −0.836239 | ||||||||
\(690\) | 0.106447 | + | 0.786700i | 0.000154271 | + | 0.00114014i | ||||
\(691\) | 1240.22i | 1.79482i | 0.441197 | + | 0.897411i | \(0.354554\pi\) | ||||
−0.441197 | + | 0.897411i | \(0.645446\pi\) | |||||||
\(692\) | −121.230 | + | 33.4189i | −0.175188 | + | 0.0482931i | ||||
\(693\) | 101.095 | 0.145881 | ||||||||
\(694\) | 453.579 | − | 61.3731i | 0.653571 | − | 0.0884339i | ||||
\(695\) | 7.91405i | 0.0113871i | ||||||||
\(696\) | 700.197 | − | 298.911i | 1.00603 | − | 0.429470i | ||||
\(697\) | 754.708 | 1.08280 | ||||||||
\(698\) | −159.523 | − | 1178.95i | −0.228542 | − | 1.68904i | ||||
\(699\) | 51.1867i | 0.0732284i | ||||||||
\(700\) | 92.0223 | + | 333.820i | 0.131460 | + | 0.476886i | ||||
\(701\) | −287.623 | −0.410304 | −0.205152 | − | 0.978730i | \(-0.565769\pi\) | ||||
−0.205152 | + | 0.978730i | \(0.565769\pi\) | |||||||
\(702\) | 183.962 | − | 24.8916i | 0.262054 | − | 0.0354581i | ||||
\(703\) | 1217.72i | 1.73217i | ||||||||
\(704\) | −449.758 | − | 430.778i | −0.638861 | − | 0.611900i | ||||
\(705\) | −5.23242 | −0.00742188 | ||||||||
\(706\) | 78.3786 | + | 579.258i | 0.111018 | + | 0.820479i | ||||
\(707\) | 546.697i | 0.773263i | ||||||||
\(708\) | 95.5294 | − | 26.3340i | 0.134929 | − | 0.0371950i | ||||
\(709\) | −1292.74 | −1.82333 | −0.911663 | − | 0.410938i | \(-0.865201\pi\) | ||||
−0.911663 | + | 0.410938i | \(0.865201\pi\) | |||||||
\(710\) | 3.61997 | − | 0.489813i | 0.00509855 | − | 0.000689878i | ||||
\(711\) | − | 216.665i | − | 0.304732i | ||||||
\(712\) | 309.932 | + | 726.013i | 0.435298 | + | 1.01968i | ||||
\(713\) | −71.8705 | −0.100800 | ||||||||
\(714\) | −24.8000 | − | 183.284i | −0.0347338 | − | 0.256701i | ||||
\(715\) | 8.30620i | 0.0116171i | ||||||||
\(716\) | 8.82615 | + | 32.0177i | 0.0123270 | + | 0.0447175i | ||||
\(717\) | 164.514 | 0.229448 | ||||||||
\(718\) | 515.950 | − | 69.8125i | 0.718593 | − | 0.0972319i | ||||
\(719\) | − | 750.529i | − | 1.04385i | −0.852991 | − | 0.521926i | \(-0.825214\pi\) | ||
0.852991 | − | 0.521926i | \(-0.174786\pi\) | |||||||
\(720\) | 1.96971 | − | 1.17527i | 0.00273571 | − | 0.00163232i | ||||
\(721\) | −322.575 | −0.447400 | ||||||||
\(722\) | 16.6153 | + | 122.796i | 0.0230129 | + | 0.170077i | ||||
\(723\) | 543.890i | 0.752268i | ||||||||
\(724\) | 148.354 | − | 40.8959i | 0.204909 | − | 0.0564861i | ||||
\(725\) | 1373.48 | 1.89446 | ||||||||
\(726\) | 90.3160 | − | 12.2205i | 0.124402 | − | 0.0168327i | ||||
\(727\) | − | 1138.92i | − | 1.56660i | −0.621644 | − | 0.783300i | \(-0.713535\pi\) | ||
0.621644 | − | 0.783300i | \(-0.286465\pi\) | |||||||
\(728\) | −455.144 | + | 194.299i | −0.625198 | + | 0.266895i | ||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | −0.422647 | − | 3.12358i | −0.000578969 | − | 0.00427888i | ||||
\(731\) | − | 60.9071i | − | 0.0833202i | ||||||
\(732\) | 51.7459 | + | 187.713i | 0.0706911 | + | 0.256439i | ||||
\(733\) | 467.159 | 0.637325 | 0.318662 | − | 0.947868i | \(-0.396766\pi\) | ||||
0.318662 | + | 0.947868i | \(0.396766\pi\) | |||||||
\(734\) | −730.544 | + | 98.8489i | −0.995291 | + | 0.134672i | ||||
\(735\) | 3.06298i | 0.00416731i | ||||||||
\(736\) | 120.056 | − | 95.5961i | 0.163119 | − | 0.129886i | ||||
\(737\) | 975.668 | 1.32384 | ||||||||
\(738\) | 39.3821 | + | 291.054i | 0.0533632 | + | 0.394381i | ||||
\(739\) | − | 732.224i | − | 0.990831i | −0.868656 | − | 0.495416i | \(-0.835016\pi\) | ||
0.868656 | − | 0.495416i | \(-0.164984\pi\) | |||||||
\(740\) | 12.9757 | − | 3.57693i | 0.0175347 | − | 0.00483369i | ||||
\(741\) | −535.035 | −0.722045 | ||||||||
\(742\) | −221.381 | + | 29.9548i | −0.298358 | + | 0.0403704i | ||||
\(743\) | 534.020i | 0.718735i | 0.933196 | + | 0.359368i | \(0.117008\pi\) | ||||
−0.933196 | + | 0.359368i | \(0.882992\pi\) | |||||||
\(744\) | 81.5280 | + | 190.979i | 0.109581 | + | 0.256692i | ||||
\(745\) | 8.77195 | 0.0117744 | ||||||||
\(746\) | −117.775 | − | 870.421i | −0.157876 | − | 1.16678i | ||||
\(747\) | − | 288.244i | − | 0.385868i | ||||||
\(748\) | 159.480 | + | 578.531i | 0.213209 | + | 0.773437i | ||||
\(749\) | 51.5076 | 0.0687685 | ||||||||
\(750\) | 8.20154 | − | 1.10974i | 0.0109354 | − | 0.00147965i | ||||
\(751\) | 1001.88i | 1.33406i | 0.745029 | + | 0.667032i | \(0.232435\pi\) | ||||
−0.745029 | + | 0.667032i | \(0.767565\pi\) | |||||||
\(752\) | 518.286 | + | 868.632i | 0.689211 | + | 1.15510i | ||||
\(753\) | −375.404 | −0.498545 | ||||||||
\(754\) | 263.205 | + | 1945.22i | 0.349078 | + | 2.57986i | ||||
\(755\) | 9.17434i | 0.0121514i | ||||||||
\(756\) | 69.3896 | − | 19.1282i | 0.0917852 | − | 0.0253019i | ||||
\(757\) | 1388.43 | 1.83412 | 0.917059 | − | 0.398752i | \(-0.130557\pi\) | ||||
0.917059 | + | 0.398752i | \(0.130557\pi\) | |||||||
\(758\) | 449.342 | − | 60.7998i | 0.592799 | − | 0.0802108i | ||||
\(759\) | − | 80.8309i | − | 0.106497i | ||||||
\(760\) | −6.07992 | + | 2.59549i | −0.00799990 | + | 0.00341512i | ||||
\(761\) | −177.666 | −0.233464 | −0.116732 | − | 0.993163i | \(-0.537242\pi\) | ||||
−0.116732 | + | 0.993163i | \(0.537242\pi\) | |||||||
\(762\) | 73.9350 | + | 546.418i | 0.0970276 | + | 0.717084i | ||||
\(763\) | − | 47.9242i | − | 0.0628102i | ||||||
\(764\) | 359.926 | + | 1305.67i | 0.471107 | + | 1.70899i | ||||
\(765\) | −2.21021 | −0.00288916 | ||||||||
\(766\) | −930.475 | + | 125.901i | −1.21472 | + | 0.164362i | ||||
\(767\) | 255.491i | 0.333104i | ||||||||
\(768\) | −390.212 | − | 210.577i | −0.508088 | − | 0.274189i | ||||
\(769\) | 1013.17 | 1.31752 | 0.658759 | − | 0.752354i | \(-0.271082\pi\) | ||||
0.658759 | + | 0.752354i | \(0.271082\pi\) | |||||||
\(770\) | 0.431837 | + | 3.19150i | 0.000560827 | + | 0.00414480i | ||||
\(771\) | 366.626i | 0.475521i | ||||||||
\(772\) | 844.832 | − | 232.890i | 1.09434 | − | 0.301671i | ||||
\(773\) | 258.809 | 0.334811 | 0.167405 | − | 0.985888i | \(-0.446461\pi\) | ||||
0.167405 | + | 0.985888i | \(0.446461\pi\) | |||||||
\(774\) | 23.4888 | − | 3.17824i | 0.0303473 | − | 0.00410626i | ||||
\(775\) | 374.617i | 0.483376i | ||||||||
\(776\) | −111.612 | − | 261.450i | −0.143830 | − | 0.336920i | ||||
\(777\) | 422.374 | 0.543596 | ||||||||
\(778\) | −15.3204 | − | 113.225i | −0.0196920 | − | 0.145534i | ||||
\(779\) | − | 846.502i | − | 1.08665i | ||||||
\(780\) | 1.57162 | + | 5.70119i | 0.00201489 | + | 0.00730922i | ||||
\(781\) | −371.941 | −0.476236 | ||||||||
\(782\) | −146.545 | + | 19.8289i | −0.187398 | + | 0.0253566i | ||||
\(783\) | − | 285.499i | − | 0.364622i | ||||||
\(784\) | 508.483 | − | 303.396i | 0.648575 | − | 0.386985i | ||||
\(785\) | −4.51920 | −0.00575695 | ||||||||
\(786\) | −12.3266 | − | 91.0996i | −0.0156826 | − | 0.115903i | ||||
\(787\) | 485.896i | 0.617403i | 0.951159 | + | 0.308701i | \(0.0998944\pi\) | ||||
−0.951159 | + | 0.308701i | \(0.900106\pi\) | |||||||
\(788\) | 477.466 | − | 131.620i | 0.605921 | − | 0.167031i | ||||
\(789\) | −28.8376 | −0.0365495 | ||||||||
\(790\) | 6.83993 | − | 0.925501i | 0.00865814 | − | 0.00117152i | ||||
\(791\) | − | 38.8484i | − | 0.0491130i | ||||||
\(792\) | −214.789 | + | 91.6924i | −0.271198 | + | 0.115773i | ||||
\(793\) | −502.035 | −0.633084 | ||||||||
\(794\) | −2.80299 | − | 20.7155i | −0.00353021 | − | 0.0260901i | ||||
\(795\) | 2.66962i | 0.00335801i | ||||||||
\(796\) | −235.109 | − | 852.883i | −0.295363 | − | 1.07146i | ||||
\(797\) | −963.799 | −1.20928 | −0.604642 | − | 0.796498i | \(-0.706684\pi\) | ||||
−0.604642 | + | 0.796498i | \(0.706684\pi\) | |||||||
\(798\) | −205.577 | + | 27.8163i | −0.257615 | + | 0.0348575i | ||||
\(799\) | − | 974.688i | − | 1.21989i | ||||||
\(800\) | −498.284 | − | 625.777i | −0.622855 | − | 0.782221i | ||||
\(801\) | 296.025 | 0.369569 | ||||||||
\(802\) | −22.4776 | − | 166.121i | −0.0280270 | − | 0.207134i | ||||
\(803\) | 320.938i | 0.399674i | ||||||||
\(804\) | 669.677 | − | 184.606i | 0.832932 | − | 0.229609i | ||||
\(805\) | −0.793624 | −0.000985868 | ||||||||
\(806\) | −530.557 | + | 71.7890i | −0.658260 | + | 0.0890682i | ||||
\(807\) | − | 103.393i | − | 0.128120i | ||||||
\(808\) | −495.848 | − | 1161.52i | −0.613674 | − | 1.43753i | ||||
\(809\) | −1376.58 | −1.70159 | −0.850793 | − | 0.525502i | \(-0.823878\pi\) | ||||
−0.850793 | + | 0.525502i | \(0.823878\pi\) | |||||||
\(810\) | −0.115333 | − | 0.852368i | −0.000142386 | − | 0.00105231i | ||||
\(811\) | 523.632i | 0.645662i | 0.946457 | + | 0.322831i | \(0.104635\pi\) | ||||
−0.946457 | + | 0.322831i | \(0.895365\pi\) | |||||||
\(812\) | 202.262 | + | 733.727i | 0.249092 | + | 0.903605i | ||||
\(813\) | 519.069 | 0.638461 | ||||||||
\(814\) | −1358.07 | + | 183.759i | −1.66839 | + | 0.225748i | ||||
\(815\) | 11.4577i | 0.0140586i | ||||||||
\(816\) | 218.928 | + | 366.916i | 0.268294 | + | 0.449652i | ||||
\(817\) | −68.3150 | −0.0836169 | ||||||||
\(818\) | −19.1974 | − | 141.879i | −0.0234687 | − | 0.173446i | ||||
\(819\) | 185.581i | 0.226594i | ||||||||
\(820\) | −9.02010 | + | 2.48652i | −0.0110001 | + | 0.00303234i | ||||
\(821\) | 47.6370 | 0.0580231 | 0.0290116 | − | 0.999579i | \(-0.490764\pi\) | ||||
0.0290116 | + | 0.999579i | \(0.490764\pi\) | |||||||
\(822\) | −758.152 | + | 102.585i | −0.922326 | + | 0.124799i | ||||
\(823\) | 1283.93i | 1.56006i | 0.625740 | + | 0.780031i | \(0.284797\pi\) | ||||
−0.625740 | + | 0.780031i | \(0.715203\pi\) | |||||||
\(824\) | 685.349 | − | 292.573i | 0.831734 | − | 0.355064i | ||||
\(825\) | −421.322 | −0.510693 | ||||||||
\(826\) | 13.2829 | + | 98.1675i | 0.0160810 | + | 0.118847i | ||||
\(827\) | 433.877i | 0.524639i | 0.964981 | + | 0.262320i | \(0.0844875\pi\) | ||||
−0.964981 | + | 0.262320i | \(0.915512\pi\) | |||||||
\(828\) | −15.2940 | − | 55.4806i | −0.0184710 | − | 0.0670055i | ||||
\(829\) | 548.822 | 0.662029 | 0.331014 | − | 0.943626i | \(-0.392609\pi\) | ||||
0.331014 | + | 0.943626i | \(0.392609\pi\) | |||||||
\(830\) | 9.09962 | − | 1.23126i | 0.0109634 | − | 0.00148344i | ||||
\(831\) | − | 861.599i | − | 1.03682i | ||||||
\(832\) | 790.779 | − | 825.623i | 0.950456 | − | 0.992335i | ||||
\(833\) | −570.567 | −0.684954 | ||||||||
\(834\) | −76.9274 | − | 568.533i | −0.0922391 | − | 0.681694i | ||||
\(835\) | − | 5.32530i | − | 0.00637760i | ||||||
\(836\) | 648.896 | − | 178.878i | 0.776192 | − | 0.213968i | ||||
\(837\) | 77.8697 | 0.0930343 | ||||||||
\(838\) | −1644.69 | + | 222.541i | −1.96264 | + | 0.265562i | ||||
\(839\) | − | 821.014i | − | 0.978562i | −0.872126 | − | 0.489281i | \(-0.837259\pi\) | ||
0.872126 | − | 0.489281i | \(-0.162741\pi\) | |||||||
\(840\) | 0.900266 | + | 2.10886i | 0.00107174 | + | 0.00251055i | ||||
\(841\) | 2177.87 | 2.58962 | ||||||||
\(842\) | 73.0427 | + | 539.823i | 0.0867491 | + | 0.641120i | ||||
\(843\) | 879.478i | 1.04327i | ||||||||
\(844\) | −300.250 | − | 1089.19i | −0.355747 | − | 1.29051i | ||||
\(845\) | −7.17200 | −0.00848757 | ||||||||
\(846\) | 375.889 | − | 50.8610i | 0.444313 | − | 0.0601194i | ||||
\(847\) | 91.1110i | 0.107569i | ||||||||
\(848\) | 443.182 | − | 264.433i | 0.522620 | − | 0.311832i | ||||
\(849\) | 896.648 | 1.05612 | ||||||||
\(850\) | 103.356 | + | 763.851i | 0.121595 | + | 0.898648i | ||||
\(851\) | − | 337.710i | − | 0.396839i | ||||||
\(852\) | −255.292 | + | 70.3748i | −0.299638 | + | 0.0825996i | ||||
\(853\) | −957.346 | −1.12233 | −0.561164 | − | 0.827705i | \(-0.689646\pi\) | ||||
−0.561164 | + | 0.827705i | \(0.689646\pi\) | |||||||
\(854\) | −192.897 | + | 26.1007i | −0.225875 | + | 0.0305628i | ||||
\(855\) | 2.47903i | 0.00289945i | ||||||||
\(856\) | −109.434 | + | 46.7169i | −0.127843 | + | 0.0545758i | ||||
\(857\) | −1131.68 | −1.32051 | −0.660257 | − | 0.751040i | \(-0.729553\pi\) | ||||
−0.660257 | + | 0.751040i | \(0.729553\pi\) | |||||||
\(858\) | −80.7392 | − | 596.704i | −0.0941017 | − | 0.695460i | ||||
\(859\) | − | 1046.03i | − | 1.21773i | −0.793276 | − | 0.608863i | \(-0.791626\pi\) | ||
0.793276 | − | 0.608863i | \(-0.208374\pi\) | |||||||
\(860\) | 0.200669 | + | 0.727947i | 0.000233336 | + | 0.000846450i | ||||
\(861\) | −293.615 | −0.341017 | ||||||||
\(862\) | 1210.23 | − | 163.754i | 1.40397 | − | 0.189970i | ||||
\(863\) | − | 594.072i | − | 0.688380i | −0.938900 | − | 0.344190i | \(-0.888154\pi\) | ||
0.938900 | − | 0.344190i | \(-0.111846\pi\) | |||||||
\(864\) | −130.077 | + | 103.576i | −0.150552 | + | 0.119879i | ||||
\(865\) | −1.50228 | −0.00173673 | ||||||||
\(866\) | −77.6196 | − | 573.649i | −0.0896300 | − | 0.662412i | ||||
\(867\) | 88.8480i | 0.102477i | ||||||||
\(868\) | −200.124 | + | 55.1670i | −0.230558 | + | 0.0635565i | ||||
\(869\) | −702.781 | −0.808724 | ||||||||
\(870\) | 9.01296 | − | 1.21953i | 0.0103597 | − | 0.00140176i | ||||
\(871\) | 1791.04i | 2.05630i | ||||||||
\(872\) | 43.4668 | + | 101.820i | 0.0498472 | + | 0.116767i | ||||
\(873\) | −106.604 | −0.122112 | ||||||||
\(874\) | 22.2406 | + | 164.369i | 0.0254469 | + | 0.188066i | ||||
\(875\) | 8.27372i | 0.00945569i | ||||||||
\(876\) | 60.7246 | + | 220.285i | 0.0693203 | + | 0.251467i | ||||
\(877\) | −180.048 | −0.205299 | −0.102650 | − | 0.994718i | \(-0.532732\pi\) | ||||
−0.102650 | + | 0.994718i | \(0.532732\pi\) | |||||||
\(878\) | 443.333 | − | 59.9867i | 0.504935 | − | 0.0683220i | ||||
\(879\) | − | 487.346i | − | 0.554432i | ||||||
\(880\) | −3.81214 | − | 6.38903i | −0.00433198 | − | 0.00726026i | ||||
\(881\) | 902.358 | 1.02424 | 0.512121 | − | 0.858913i | \(-0.328860\pi\) | ||||
0.512121 | + | 0.858913i | \(0.328860\pi\) | |||||||
\(882\) | −29.7732 | − | 220.039i | −0.0337565 | − | 0.249478i | ||||
\(883\) | 524.469i | 0.593963i | 0.954883 | + | 0.296981i | \(0.0959800\pi\) | ||||
−0.954883 | + | 0.296981i | \(0.904020\pi\) | |||||||
\(884\) | −1062.01 | + | 292.758i | −1.20137 | + | 0.331175i | ||||
\(885\) | 1.18379 | 0.00133762 | ||||||||
\(886\) | −1269.08 | + | 171.718i | −1.43237 | + | 0.193813i | ||||
\(887\) | 1096.94i | 1.23669i | 0.785907 | + | 0.618345i | \(0.212196\pi\) | ||||
−0.785907 | + | 0.618345i | \(0.787804\pi\) | |||||||
\(888\) | −897.382 | + | 383.089i | −1.01057 | + | 0.431406i | ||||
\(889\) | −551.227 | −0.620053 | ||||||||
\(890\) | 1.26450 | + | 9.34527i | 0.00142078 | + | 0.0105003i | ||||
\(891\) | 87.5781i | 0.0982919i | ||||||||
\(892\) | −69.1682 | − | 250.915i | −0.0775428 | − | 0.281294i | ||||
\(893\) | −1093.24 | −1.22423 | ||||||||
\(894\) | −630.163 | + | 85.2665i | −0.704881 | + | 0.0953764i | ||||
\(895\) | 0.396761i | 0.000443309i | ||||||||
\(896\) | 260.918 | − | 358.342i | 0.291203 | − | 0.399935i | ||||
\(897\) | 148.381 | 0.165420 | ||||||||
\(898\) | 7.91196 | + | 58.4734i | 0.00881064 | + | 0.0651152i | ||||
\(899\) | 823.397i | 0.915903i | ||||||||
\(900\) | −289.186 | + | 79.7183i | −0.321318 | + | 0.0885758i | ||||
\(901\) | −497.293 | −0.551934 | ||||||||
\(902\) | 944.071 | − | 127.741i | 1.04664 | − | 0.141620i | ||||
\(903\) | 23.6956i | 0.0262409i | ||||||||
\(904\) | 35.2351 | + | 82.5380i | 0.0389769 | + | 0.0913031i | ||||
\(905\) | 1.83839 | 0.00203137 | ||||||||
\(906\) | −89.1779 | − | 659.070i | −0.0984303 | − | 0.727451i | ||||
\(907\) | − | 1161.30i | − | 1.28038i | −0.768217 | − | 0.640189i | \(-0.778856\pi\) | ||
0.768217 | − | 0.640189i | \(-0.221144\pi\) | |||||||
\(908\) | −240.901 | − | 873.892i | −0.265309 | − | 0.962436i | ||||
\(909\) | −473.599 | −0.521011 | ||||||||
\(910\) | −5.85863 | + | 0.792724i | −0.00643806 | + | 0.000871125i | ||||
\(911\) | 1162.02i | 1.27555i | 0.770224 | + | 0.637774i | \(0.220144\pi\) | ||||
−0.770224 | + | 0.637774i | \(0.779856\pi\) | |||||||
\(912\) | 411.543 | − | 245.555i | 0.451253 | − | 0.269249i | ||||
\(913\) | −934.957 | −1.02405 | ||||||||
\(914\) | −126.198 | − | 932.664i | −0.138072 | − | 1.02042i | ||||
\(915\) | 2.32613i | 0.00254222i | ||||||||
\(916\) | −515.830 | + | 142.196i | −0.563133 | + | 0.155236i | ||||
\(917\) | 91.9014 | 0.100220 | ||||||||
\(918\) | 158.778 | − | 21.4840i | 0.172961 | − | 0.0234031i | ||||
\(919\) | − | 226.473i | − | 0.246434i | −0.992380 | − | 0.123217i | \(-0.960679\pi\) | ||
0.992380 | − | 0.123217i | \(-0.0393212\pi\) | |||||||
\(920\) | 1.68615 | − | 0.719809i | 0.00183277 | − | 0.000782401i | ||||
\(921\) | 317.027 | 0.344220 | ||||||||
\(922\) | 50.9550 | + | 376.583i | 0.0552657 | + | 0.408442i | ||||
\(923\) | − | 682.772i | − | 0.739731i | ||||||
\(924\) | −62.0450 | − | 225.074i | −0.0671482 | − | 0.243587i | ||||
\(925\) | −1760.27 | −1.90300 | ||||||||
\(926\) | −595.399 | + | 80.5626i | −0.642979 | + | 0.0870007i | ||||
\(927\) | − | 279.445i | − | 0.301451i | ||||||
\(928\) | −1095.21 | − | 1375.44i | −1.18019 | − | 1.48215i | ||||
\(929\) | 783.472 | 0.843349 | 0.421675 | − | 0.906747i | \(-0.361442\pi\) | ||||
0.421675 | + | 0.906747i | \(0.361442\pi\) | |||||||
\(930\) | 0.332627 | + | 2.45828i | 0.000357663 | + | 0.00264332i | ||||
\(931\) | 639.963i | 0.687394i | ||||||||
\(932\) | 113.960 | − | 31.4147i | 0.122275 | − | 0.0337067i | ||||
\(933\) | 1018.21 | 1.09133 | ||||||||
\(934\) | −448.909 | + | 60.7413i | −0.480631 | + | 0.0650335i | ||||
\(935\) | 7.16911i | 0.00766750i | ||||||||
\(936\) | −168.320 | − | 394.288i | −0.179829 | − | 0.421248i | ||||
\(937\) | 606.692 | 0.647483 | 0.323742 | − | 0.946146i | \(-0.395059\pi\) | ||||
0.323742 | + | 0.946146i | \(0.395059\pi\) | |||||||
\(938\) | 93.1154 | + | 688.170i | 0.0992701 | + | 0.733657i | ||||
\(939\) | − | 468.063i | − | 0.498470i | ||||||
\(940\) | 3.21128 | + | 11.6492i | 0.00341626 | + | 0.0123928i | ||||
\(941\) | −1765.65 | −1.87635 | −0.938177 | − | 0.346155i | \(-0.887487\pi\) | ||||
−0.938177 | + | 0.346155i | \(0.887487\pi\) | |||||||
\(942\) | 324.652 | − | 43.9283i | 0.344642 | − | 0.0466330i | ||||
\(943\) | 234.761i | 0.248951i | ||||||||
\(944\) | −117.258 | − | 196.521i | −0.124214 | − | 0.208179i | ||||
\(945\) | 0.859870 | 0.000909915 | ||||||||
\(946\) | −10.3091 | − | 76.1892i | −0.0108975 | − | 0.0805382i | ||||
\(947\) | − | 1465.61i | − | 1.54763i | −0.633411 | − | 0.773816i | \(-0.718346\pi\) | ||
0.633411 | − | 0.773816i | \(-0.281654\pi\) | |||||||
\(948\) | −482.373 | + | 132.973i | −0.508833 | + | 0.140267i | ||||
\(949\) | −589.146 | −0.620807 | ||||||||
\(950\) | 856.756 | − | 115.926i | 0.901849 | − | 0.122028i | ||||
\(951\) | 236.405i | 0.248586i | ||||||||
\(952\) | −392.836 | + | 167.700i | −0.412643 | + | 0.176156i | ||||
\(953\) | 1423.94 | 1.49416 | 0.747082 | − | 0.664732i | \(-0.231454\pi\) | ||||
0.747082 | + | 0.664732i | \(0.231454\pi\) | |||||||
\(954\) | −25.9496 | − | 191.781i | −0.0272009 | − | 0.201028i | ||||
\(955\) | 16.1797i | 0.0169421i | ||||||||
\(956\) | −100.967 | − | 366.268i | −0.105614 | − | 0.383126i | ||||
\(957\) | −926.053 | −0.967663 | ||||||||
\(958\) | 1593.73 | − | 215.646i | 1.66360 | − | 0.225100i | ||||
\(959\) | − | 764.825i | − | 0.797523i | ||||||
\(960\) | −3.82544 | − | 3.66400i | −0.00398483 | − | 0.00381666i | ||||
\(961\) | 736.419 | 0.766305 | ||||||||
\(962\) | −337.327 | − | 2493.02i | −0.350651 | − | 2.59149i | ||||
\(963\) | 44.6207i | 0.0463351i | ||||||||
\(964\) | 1210.89 | − | 333.800i | 1.25611 | − | 0.346266i | ||||
\(965\) | 10.4691 | 0.0108488 | ||||||||
\(966\) | 57.0127 | − | 7.71431i | 0.0590193 | − | 0.00798583i | ||||
\(967\) | 800.118i | 0.827423i | 0.910408 | + | 0.413711i | \(0.135768\pi\) | ||||
−0.910408 | + | 0.413711i | \(0.864232\pi\) | |||||||
\(968\) | −82.6367 | − | 193.576i | −0.0853685 | − | 0.199975i | ||||
\(969\) | −461.791 | −0.476564 | ||||||||
\(970\) | −0.455366 | − | 3.36539i | −0.000469450 | − | 0.00346947i | ||||
\(971\) | 221.431i | 0.228044i | 0.993478 | + | 0.114022i | \(0.0363734\pi\) | ||||
−0.993478 | + | 0.114022i | \(0.963627\pi\) | |||||||
\(972\) | 16.5706 | + | 60.1117i | 0.0170480 | + | 0.0618433i | ||||
\(973\) | 573.537 | 0.589452 | ||||||||
\(974\) | −793.902 | + | 107.422i | −0.815094 | + | 0.110289i | ||||
\(975\) | − | 773.421i | − | 0.793253i | ||||||
\(976\) | 386.160 | − | 230.410i | 0.395655 | − | 0.236076i | ||||
\(977\) | −633.198 | −0.648105 | −0.324052 | − | 0.946039i | \(-0.605045\pi\) | ||||
−0.324052 | + | 0.946039i | \(0.605045\pi\) | |||||||
\(978\) | −111.373 | − | 823.105i | −0.113879 | − | 0.841621i | ||||
\(979\) | − | 960.197i | − | 0.980793i | ||||||
\(980\) | 6.81928 | − | 1.87983i | 0.00695845 | − | 0.00191820i | ||||
\(981\) | 41.5164 | 0.0423204 | ||||||||
\(982\) | −61.6049 | + | 8.33568i | −0.0627342 | + | 0.00848847i | ||||
\(983\) | 1826.46i | 1.85804i | 0.370025 | + | 0.929022i | \(0.379349\pi\) | ||||
−0.370025 | + | 0.929022i | \(0.620651\pi\) | |||||||
\(984\) | 623.820 | − | 266.306i | 0.633963 | − | 0.270636i | ||||
\(985\) | 5.91671 | 0.00600682 | ||||||||
\(986\) | 227.173 | + | 1678.92i | 0.230398 | + | 1.70276i | ||||
\(987\) | 379.197i | 0.384192i | ||||||||
\(988\) | 328.366 | + | 1191.18i | 0.332354 | + | 1.20565i | ||||
\(989\) | 18.9458 | 0.0191566 | ||||||||
\(990\) | −2.76477 | + | 0.374097i | −0.00279270 | + | 0.000377876i | ||||
\(991\) | 1030.70i | 1.04006i | 0.854149 | + | 0.520028i | \(0.174078\pi\) | ||||
−0.854149 | + | 0.520028i | \(0.825922\pi\) | |||||||
\(992\) | 375.151 | − | 298.719i | 0.378176 | − | 0.301128i | ||||
\(993\) | 422.601 | 0.425580 | ||||||||
\(994\) | −35.4971 | − | 262.342i | −0.0357114 | − | 0.263925i | ||||
\(995\) | − | 10.5689i | − | 0.0106220i | ||||||
\(996\) | −641.734 | + | 176.903i | −0.644311 | + | 0.177613i | ||||
\(997\) | 17.9073 | 0.0179612 | 0.00898061 | − | 0.999960i | \(-0.497141\pi\) | ||||
0.00898061 | + | 0.999960i | \(0.497141\pi\) | |||||||
\(998\) | 941.113 | − | 127.341i | 0.942999 | − | 0.127596i | ||||
\(999\) | 365.899i | 0.366266i |
(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 | 276.3.f.b.139.20 | yes | 40 | |
4.3 | odd | 2 | inner | 276.3.f.b.139.19 | ✓ | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.3.f.b.139.19 | ✓ | 40 | 4.3 | odd | 2 | inner | |
276.3.f.b.139.20 | yes | 40 | 1.1 | even | 1 | trivial |