Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [668,2,Mod(667,668)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(668, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("668.667");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 668 = 2^{2} \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 668.b (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: | \(5.33400685502\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 667.18 | ||
Character | \(\chi\) | \(=\) | 668.667 |
Dual form | 668.2.b.b.667.19 |
$q$-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 \(\left(\mathbb{Z}/668\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(335\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.844041 | − | 1.13472i | −0.596827 | − | 0.802370i | ||||
\(3\) | 0.873998i | 0.504603i | 0.967649 | + | 0.252301i | \(0.0811874\pi\) | ||||
−0.967649 | + | 0.252301i | \(0.918813\pi\) | |||||||
\(4\) | −0.575190 | + | 1.91550i | −0.287595 | + | 0.957752i | ||||
\(5\) | 2.77771i | 1.24223i | 0.783720 | + | 0.621114i | \(0.213320\pi\) | ||||
−0.783720 | + | 0.621114i | \(0.786680\pi\) | |||||||
\(6\) | 0.991745 | − | 0.737690i | 0.404878 | − | 0.301161i | ||||
\(7\) | − | 1.63351i | − | 0.617409i | −0.951158 | − | 0.308704i | \(-0.900105\pi\) | ||
0.951158 | − | 0.308704i | \(-0.0998954\pi\) | |||||||
\(8\) | 2.65905 | − | 0.964083i | 0.940116 | − | 0.340855i | ||||
\(9\) | 2.23613 | 0.745376 | ||||||||
\(10\) | 3.15193 | − | 2.34450i | 0.996726 | − | 0.741395i | ||||
\(11\) | 3.15593i | 0.951550i | 0.879567 | + | 0.475775i | \(0.157832\pi\) | ||||
−0.879567 | + | 0.475775i | \(0.842168\pi\) | |||||||
\(12\) | −1.67415 | − | 0.502715i | −0.483284 | − | 0.145121i | ||||
\(13\) | 2.07866i | 0.576517i | 0.957553 | + | 0.288258i | \(0.0930762\pi\) | ||||
−0.957553 | + | 0.288258i | \(0.906924\pi\) | |||||||
\(14\) | −1.85358 | + | 1.37875i | −0.495390 | + | 0.368486i | ||||
\(15\) | −2.42771 | −0.626832 | ||||||||
\(16\) | −3.33831 | − | 2.20356i | −0.834578 | − | 0.550889i | ||||
\(17\) | 0.279012i | 0.0676704i | 0.999427 | + | 0.0338352i | \(0.0107721\pi\) | ||||
−0.999427 | + | 0.0338352i | \(0.989228\pi\) | |||||||
\(18\) | −1.88738 | − | 2.53738i | −0.444861 | − | 0.598067i | ||||
\(19\) | − | 2.74636i | − | 0.630059i | −0.949082 | − | 0.315029i | \(-0.897986\pi\) | ||
0.949082 | − | 0.315029i | \(-0.102014\pi\) | |||||||
\(20\) | −5.32071 | − | 1.59771i | −1.18975 | − | 0.357259i | ||||
\(21\) | 1.42768 | 0.311546 | ||||||||
\(22\) | 3.58111 | − | 2.66374i | 0.763495 | − | 0.567911i | ||||
\(23\) | −0.694696 | −0.144854 | −0.0724271 | − | 0.997374i | \(-0.523074\pi\) | ||||
−0.0724271 | + | 0.997374i | \(0.523074\pi\) | |||||||
\(24\) | 0.842606 | + | 2.32400i | 0.171996 | + | 0.474385i | ||||
\(25\) | −2.71565 | −0.543130 | ||||||||
\(26\) | 2.35870 | − | 1.75447i | 0.462580 | − | 0.344081i | ||||
\(27\) | 4.57636i | 0.880722i | ||||||||
\(28\) | 3.12900 | + | 0.939579i | 0.591325 | + | 0.177564i | ||||
\(29\) | −4.60310 | −0.854775 | −0.427388 | − | 0.904069i | \(-0.640566\pi\) | ||||
−0.427388 | + | 0.904069i | \(0.640566\pi\) | |||||||
\(30\) | 2.04909 | + | 2.75478i | 0.374110 | + | 0.502951i | ||||
\(31\) | − | 1.16126i | − | 0.208568i | −0.994548 | − | 0.104284i | \(-0.966745\pi\) | ||
0.994548 | − | 0.104284i | \(-0.0332550\pi\) | |||||||
\(32\) | 0.317247 | + | 5.64795i | 0.0560818 | + | 0.998426i | ||||
\(33\) | −2.75828 | −0.480155 | ||||||||
\(34\) | 0.316601 | − | 0.235498i | 0.0542967 | − | 0.0403875i | ||||
\(35\) | 4.53741 | 0.766963 | ||||||||
\(36\) | −1.28620 | + | 4.28331i | −0.214366 | + | 0.713886i | ||||
\(37\) | 10.9009i | 1.79209i | 0.443963 | + | 0.896045i | \(0.353572\pi\) | ||||
−0.443963 | + | 0.896045i | \(0.646428\pi\) | |||||||
\(38\) | −3.11636 | + | 2.31804i | −0.505540 | + | 0.376036i | ||||
\(39\) | −1.81674 | −0.290912 | ||||||||
\(40\) | 2.67794 | + | 7.38606i | 0.423419 | + | 1.16784i | ||||
\(41\) | 10.0194i | 1.56476i | 0.622802 | + | 0.782380i | \(0.285994\pi\) | ||||
−0.622802 | + | 0.782380i | \(0.714006\pi\) | |||||||
\(42\) | −1.20502 | − | 1.62002i | −0.185939 | − | 0.249975i | ||||
\(43\) | −10.3215 | −1.57401 | −0.787007 | − | 0.616944i | \(-0.788371\pi\) | ||||
−0.787007 | + | 0.616944i | \(0.788371\pi\) | |||||||
\(44\) | −6.04521 | − | 1.81526i | −0.911349 | − | 0.273661i | ||||
\(45\) | 6.21131i | 0.925927i | ||||||||
\(46\) | 0.586352 | + | 0.788287i | 0.0864528 | + | 0.116227i | ||||
\(47\) | − | 5.71650i | − | 0.833837i | −0.908944 | − | 0.416918i | \(-0.863110\pi\) | ||
0.908944 | − | 0.416918i | \(-0.136890\pi\) | |||||||
\(48\) | 1.92590 | − | 2.91768i | 0.277980 | − | 0.421130i | ||||
\(49\) | 4.33164 | 0.618806 | ||||||||
\(50\) | 2.29212 | + | 3.08151i | 0.324155 | + | 0.435791i | ||||
\(51\) | −0.243856 | −0.0341467 | ||||||||
\(52\) | −3.98168 | − | 1.19562i | −0.552160 | − | 0.165803i | ||||
\(53\) | 6.87169i | 0.943899i | 0.881626 | + | 0.471949i | \(0.156449\pi\) | ||||
−0.881626 | + | 0.471949i | \(0.843551\pi\) | |||||||
\(54\) | 5.19290 | − | 3.86264i | 0.706664 | − | 0.525638i | ||||
\(55\) | −8.76626 | −1.18204 | ||||||||
\(56\) | −1.57484 | − | 4.34358i | −0.210447 | − | 0.580436i | ||||
\(57\) | 2.40031 | 0.317929 | ||||||||
\(58\) | 3.88521 | + | 5.22325i | 0.510153 | + | 0.685846i | ||||
\(59\) | 10.1359 | 1.31959 | 0.659793 | − | 0.751448i | \(-0.270644\pi\) | ||||
0.659793 | + | 0.751448i | \(0.270644\pi\) | |||||||
\(60\) | 1.39639 | − | 4.65029i | 0.180274 | − | 0.600349i | ||||
\(61\) | −4.53341 | −0.580443 | −0.290222 | − | 0.956959i | \(-0.593729\pi\) | ||||
−0.290222 | + | 0.956959i | \(0.593729\pi\) | |||||||
\(62\) | −1.31770 | + | 0.980147i | −0.167348 | + | 0.124479i | ||||
\(63\) | − | 3.65274i | − | 0.460202i | ||||||
\(64\) | 6.14109 | − | 5.12709i | 0.767636 | − | 0.640886i | ||||
\(65\) | −5.77391 | −0.716165 | ||||||||
\(66\) | 2.32810 | + | 3.12988i | 0.286569 | + | 0.385262i | ||||
\(67\) | 2.66474 | 0.325550 | 0.162775 | − | 0.986663i | \(-0.447956\pi\) | ||||
0.162775 | + | 0.986663i | \(0.447956\pi\) | |||||||
\(68\) | −0.534449 | − | 0.160485i | −0.0648114 | − | 0.0194617i | ||||
\(69\) | − | 0.607162i | − | 0.0730938i | ||||||
\(70\) | −3.82976 | − | 5.14870i | −0.457744 | − | 0.615388i | ||||
\(71\) | 4.93203 | 0.585324 | 0.292662 | − | 0.956216i | \(-0.405459\pi\) | ||||
0.292662 | + | 0.956216i | \(0.405459\pi\) | |||||||
\(72\) | 5.94598 | − | 2.15581i | 0.700740 | − | 0.254065i | ||||
\(73\) | − | 6.69774i | − | 0.783911i | −0.919984 | − | 0.391956i | \(-0.871799\pi\) | ||
0.919984 | − | 0.391956i | \(-0.128201\pi\) | |||||||
\(74\) | 12.3695 | − | 9.20077i | 1.43792 | − | 1.06957i | ||||
\(75\) | − | 2.37347i | − | 0.274065i | ||||||
\(76\) | 5.26067 | + | 1.57968i | 0.603440 | + | 0.181202i | ||||
\(77\) | 5.15525 | 0.587495 | ||||||||
\(78\) | 1.53341 | + | 2.06150i | 0.173624 | + | 0.233419i | ||||
\(79\) | −2.61458 | −0.294163 | −0.147082 | − | 0.989124i | \(-0.546988\pi\) | ||||
−0.147082 | + | 0.989124i | \(0.546988\pi\) | |||||||
\(80\) | 6.12084 | − | 9.27285i | 0.684330 | − | 1.03674i | ||||
\(81\) | 2.70865 | 0.300962 | ||||||||
\(82\) | 11.3692 | − | 8.45674i | 1.25552 | − | 0.933891i | ||||
\(83\) | −1.43717 | −0.157750 | −0.0788752 | − | 0.996885i | \(-0.525133\pi\) | ||||
−0.0788752 | + | 0.996885i | \(0.525133\pi\) | |||||||
\(84\) | −0.821189 | + | 2.73473i | −0.0895991 | + | 0.298384i | ||||
\(85\) | −0.775014 | −0.0840620 | ||||||||
\(86\) | 8.71177 | + | 11.7120i | 0.939415 | + | 1.26294i | ||||
\(87\) | − | 4.02310i | − | 0.431322i | ||||||
\(88\) | 3.04258 | + | 8.39179i | 0.324340 | + | 0.894567i | ||||
\(89\) | 1.88661 | 0.199980 | 0.0999902 | − | 0.994988i | \(-0.468119\pi\) | ||||
0.0999902 | + | 0.994988i | \(0.468119\pi\) | |||||||
\(90\) | 7.04811 | − | 5.24260i | 0.742936 | − | 0.552618i | ||||
\(91\) | 3.39551 | 0.355946 | ||||||||
\(92\) | 0.399582 | − | 1.33069i | 0.0416593 | − | 0.138734i | ||||
\(93\) | 1.01493 | 0.105244 | ||||||||
\(94\) | −6.48664 | + | 4.82496i | −0.669045 | + | 0.497656i | ||||
\(95\) | 7.62859 | 0.782677 | ||||||||
\(96\) | −4.93630 | + | 0.277273i | −0.503809 | + | 0.0282990i | ||||
\(97\) | −7.93437 | −0.805614 | −0.402807 | − | 0.915285i | \(-0.631965\pi\) | ||||
−0.402807 | + | 0.915285i | \(0.631965\pi\) | |||||||
\(98\) | −3.65609 | − | 4.91521i | −0.369320 | − | 0.496512i | ||||
\(99\) | 7.05707i | 0.709263i | ||||||||
\(100\) | 1.56202 | − | 5.20184i | 0.156202 | − | 0.520184i | ||||
\(101\) | − | 3.57853i | − | 0.356077i | −0.984024 | − | 0.178038i | \(-0.943025\pi\) | ||
0.984024 | − | 0.178038i | \(-0.0569751\pi\) | |||||||
\(102\) | 0.205824 | + | 0.276709i | 0.0203796 | + | 0.0273983i | ||||
\(103\) | −18.5624 | −1.82901 | −0.914506 | − | 0.404573i | \(-0.867420\pi\) | ||||
−0.914506 | + | 0.404573i | \(0.867420\pi\) | |||||||
\(104\) | 2.00400 | + | 5.52726i | 0.196508 | + | 0.541993i | ||||
\(105\) | 3.96569i | 0.387011i | ||||||||
\(106\) | 7.79746 | − | 5.79998i | 0.757356 | − | 0.563344i | ||||
\(107\) | 15.9116i | 1.53823i | 0.639110 | + | 0.769115i | \(0.279303\pi\) | ||||
−0.639110 | + | 0.769115i | \(0.720697\pi\) | |||||||
\(108\) | −8.76604 | − | 2.63228i | −0.843513 | − | 0.253291i | ||||
\(109\) | − | 9.84244i | − | 0.942734i | −0.881937 | − | 0.471367i | \(-0.843761\pi\) | ||
0.881937 | − | 0.471367i | \(-0.156239\pi\) | |||||||
\(110\) | 7.39908 | + | 9.94727i | 0.705475 | + | 0.948435i | ||||
\(111\) | −9.52732 | −0.904294 | ||||||||
\(112\) | −3.59953 | + | 5.45317i | −0.340124 | + | 0.515276i | ||||
\(113\) | − | 16.5755i | − | 1.55929i | −0.626223 | − | 0.779644i | \(-0.715400\pi\) | ||
0.626223 | − | 0.779644i | \(-0.284600\pi\) | |||||||
\(114\) | −2.02596 | − | 2.72369i | −0.189749 | − | 0.255097i | ||||
\(115\) | − | 1.92966i | − | 0.179942i | ||||||
\(116\) | 2.64766 | − | 8.81727i | 0.245829 | − | 0.818663i | ||||
\(117\) | 4.64815i | 0.429722i | ||||||||
\(118\) | −8.55514 | − | 11.5015i | −0.787564 | − | 1.05880i | ||||
\(119\) | 0.455769 | 0.0417803 | ||||||||
\(120\) | −6.45540 | + | 2.34051i | −0.589294 | + | 0.213659i | ||||
\(121\) | 1.04008 | 0.0945527 | ||||||||
\(122\) | 3.82638 | + | 5.14416i | 0.346424 | + | 0.465730i | ||||
\(123\) | −8.75689 | −0.789582 | ||||||||
\(124\) | 2.22439 | + | 0.667943i | 0.199756 | + | 0.0599830i | ||||
\(125\) | 6.34525i | 0.567536i | ||||||||
\(126\) | −4.14484 | + | 3.08306i | −0.369252 | + | 0.274661i | ||||
\(127\) | − | 8.37380i | − | 0.743054i | −0.928422 | − | 0.371527i | \(-0.878834\pi\) | ||
0.928422 | − | 0.371527i | \(-0.121166\pi\) | |||||||
\(128\) | −11.0012 | − | 2.64096i | −0.972374 | − | 0.233430i | ||||
\(129\) | − | 9.02097i | − | 0.794252i | ||||||
\(130\) | 4.87341 | + | 6.55178i | 0.427427 | + | 0.574629i | ||||
\(131\) | 11.9309 | 1.04240 | 0.521202 | − | 0.853433i | \(-0.325484\pi\) | ||||
0.521202 | + | 0.853433i | \(0.325484\pi\) | |||||||
\(132\) | 1.58653 | − | 5.28349i | 0.138090 | − | 0.459869i | ||||
\(133\) | −4.48621 | −0.389004 | ||||||||
\(134\) | −2.24915 | − | 3.02374i | −0.194297 | − | 0.261211i | ||||
\(135\) | −12.7118 | −1.09406 | ||||||||
\(136\) | 0.268991 | + | 0.741907i | 0.0230658 | + | 0.0636180i | ||||
\(137\) | 9.54510 | 0.815493 | 0.407746 | − | 0.913095i | \(-0.366315\pi\) | ||||
0.407746 | + | 0.913095i | \(0.366315\pi\) | |||||||
\(138\) | −0.688961 | + | 0.512470i | −0.0586482 | + | 0.0436243i | ||||
\(139\) | 4.77800 | 0.405265 | 0.202632 | − | 0.979255i | \(-0.435050\pi\) | ||||
0.202632 | + | 0.979255i | \(0.435050\pi\) | |||||||
\(140\) | −2.60987 | + | 8.69143i | −0.220575 | + | 0.734560i | ||||
\(141\) | 4.99620 | 0.420756 | ||||||||
\(142\) | −4.16283 | − | 5.59648i | −0.349337 | − | 0.469646i | ||||
\(143\) | −6.56012 | −0.548584 | ||||||||
\(144\) | −7.46490 | − | 4.92744i | −0.622075 | − | 0.410620i | ||||
\(145\) | − | 12.7861i | − | 1.06183i | ||||||
\(146\) | −7.60008 | + | 5.65317i | −0.628987 | + | 0.467859i | ||||
\(147\) | 3.78585i | 0.312251i | ||||||||
\(148\) | −20.8806 | − | 6.27006i | −1.71638 | − | 0.515396i | ||||
\(149\) | 0.842992i | 0.0690606i | 0.999404 | + | 0.0345303i | \(0.0109935\pi\) | ||||
−0.999404 | + | 0.0345303i | \(0.989006\pi\) | |||||||
\(150\) | −2.69323 | + | 2.00331i | −0.219902 | + | 0.163569i | ||||
\(151\) | 6.35135 | 0.516865 | 0.258433 | − | 0.966029i | \(-0.416794\pi\) | ||||
0.258433 | + | 0.966029i | \(0.416794\pi\) | |||||||
\(152\) | −2.64772 | − | 7.30271i | −0.214759 | − | 0.592328i | ||||
\(153\) | 0.623907i | 0.0504399i | ||||||||
\(154\) | −4.35124 | − | 5.84978i | −0.350633 | − | 0.471389i | ||||
\(155\) | 3.22563 | 0.259089 | ||||||||
\(156\) | 1.04497 | − | 3.47998i | 0.0836648 | − | 0.278621i | ||||
\(157\) | 2.38522 | 0.190362 | 0.0951808 | − | 0.995460i | \(-0.469657\pi\) | ||||
0.0951808 | + | 0.995460i | \(0.469657\pi\) | |||||||
\(158\) | 2.20681 | + | 2.96682i | 0.175565 | + | 0.236028i | ||||
\(159\) | −6.00584 | −0.476294 | ||||||||
\(160\) | −15.6883 | + | 0.881218i | −1.24027 | + | 0.0696664i | ||||
\(161\) | 1.13479i | 0.0894342i | ||||||||
\(162\) | −2.28622 | − | 3.07357i | −0.179622 | − | 0.241483i | ||||
\(163\) | −14.5956 | −1.14322 | −0.571608 | − | 0.820527i | \(-0.693680\pi\) | ||||
−0.571608 | + | 0.820527i | \(0.693680\pi\) | |||||||
\(164\) | −19.1921 | − | 5.76303i | −1.49865 | − | 0.450017i | ||||
\(165\) | − | 7.66169i | − | 0.596462i | ||||||
\(166\) | 1.21303 | + | 1.63079i | 0.0941497 | + | 0.126574i | ||||
\(167\) | 12.9058 | − | 0.663871i | 0.998680 | − | 0.0513718i | ||||
\(168\) | 3.79628 | − | 1.37641i | 0.292890 | − | 0.106192i | ||||
\(169\) | 8.67917 | 0.667629 | ||||||||
\(170\) | 0.654143 | + | 0.879425i | 0.0501705 | + | 0.0674488i | ||||
\(171\) | − | 6.14122i | − | 0.469631i | ||||||
\(172\) | 5.93683 | − | 19.7709i | 0.452679 | − | 1.50752i | ||||
\(173\) | 19.3519 | 1.47130 | 0.735648 | − | 0.677364i | \(-0.236878\pi\) | ||||
0.735648 | + | 0.677364i | \(0.236878\pi\) | |||||||
\(174\) | −4.56510 | + | 3.39566i | −0.346080 | + | 0.257425i | ||||
\(175\) | 4.43604i | 0.335333i | ||||||||
\(176\) | 6.95428 | − | 10.5355i | 0.524199 | − | 0.794143i | ||||
\(177\) | 8.85878i | 0.665866i | ||||||||
\(178\) | −1.59238 | − | 2.14078i | −0.119354 | − | 0.160458i | ||||
\(179\) | 1.38802i | 0.103745i | 0.998654 | + | 0.0518727i | \(0.0165190\pi\) | ||||
−0.998654 | + | 0.0518727i | \(0.983481\pi\) | |||||||
\(180\) | −11.8978 | − | 3.57268i | −0.886809 | − | 0.266292i | ||||
\(181\) | 7.39104 | 0.549372 | 0.274686 | − | 0.961534i | \(-0.411426\pi\) | ||||
0.274686 | + | 0.961534i | \(0.411426\pi\) | |||||||
\(182\) | −2.86595 | − | 3.85296i | −0.212438 | − | 0.285601i | ||||
\(183\) | − | 3.96219i | − | 0.292893i | ||||||
\(184\) | −1.84723 | + | 0.669745i | −0.136180 | + | 0.0493742i | ||||
\(185\) | −30.2794 | −2.22618 | ||||||||
\(186\) | −0.856646 | − | 1.15167i | −0.0628124 | − | 0.0844445i | ||||
\(187\) | −0.880544 | −0.0643917 | ||||||||
\(188\) | 10.9500 | + | 3.28807i | 0.798609 | + | 0.239807i | ||||
\(189\) | 7.47554 | 0.543765 | ||||||||
\(190\) | −6.43884 | − | 8.65633i | −0.467123 | − | 0.627996i | ||||
\(191\) | 16.9379i | 1.22558i | 0.790244 | + | 0.612792i | \(0.209954\pi\) | ||||
−0.790244 | + | 0.612792i | \(0.790046\pi\) | |||||||
\(192\) | 4.48106 | + | 5.36730i | 0.323393 | + | 0.387351i | ||||
\(193\) | − | 6.65820i | − | 0.479268i | −0.970863 | − | 0.239634i | \(-0.922973\pi\) | ||
0.970863 | − | 0.239634i | \(-0.0770274\pi\) | |||||||
\(194\) | 6.69694 | + | 9.00331i | 0.480812 | + | 0.646400i | ||||
\(195\) | − | 5.04638i | − | 0.361379i | ||||||
\(196\) | −2.49152 | + | 8.29728i | −0.177966 | + | 0.592663i | ||||
\(197\) | − | 20.3273i | − | 1.44826i | −0.689663 | − | 0.724131i | \(-0.742241\pi\) | ||
0.689663 | − | 0.724131i | \(-0.257759\pi\) | |||||||
\(198\) | 8.00782 | − | 5.95646i | 0.569091 | − | 0.423307i | ||||
\(199\) | 24.9502i | 1.76867i | 0.466850 | + | 0.884336i | \(0.345389\pi\) | ||||
−0.466850 | + | 0.884336i | \(0.654611\pi\) | |||||||
\(200\) | −7.22105 | + | 2.61811i | −0.510605 | + | 0.185129i | ||||
\(201\) | 2.32898i | 0.164273i | ||||||||
\(202\) | −4.06063 | + | 3.02042i | −0.285705 | + | 0.212516i | ||||
\(203\) | 7.51922i | 0.527746i | ||||||||
\(204\) | 0.140263 | − | 0.467107i | 0.00982041 | − | 0.0327040i | ||||
\(205\) | −27.8308 | −1.94379 | ||||||||
\(206\) | 15.6675 | + | 21.0632i | 1.09160 | + | 1.46754i | ||||
\(207\) | −1.55343 | −0.107971 | ||||||||
\(208\) | 4.58045 | − | 6.93922i | 0.317597 | − | 0.481148i | ||||
\(209\) | 8.66734 | 0.599532 | ||||||||
\(210\) | 4.49995 | − | 3.34720i | 0.310526 | − | 0.230979i | ||||
\(211\) | − | 12.8077i | − | 0.881718i | −0.897576 | − | 0.440859i | \(-0.854674\pi\) | ||
0.897576 | − | 0.440859i | \(-0.145326\pi\) | |||||||
\(212\) | −13.1627 | − | 3.95252i | −0.904021 | − | 0.271461i | ||||
\(213\) | 4.31058i | 0.295356i | ||||||||
\(214\) | 18.0552 | − | 13.4300i | 1.23423 | − | 0.918057i | ||||
\(215\) | − | 28.6701i | − | 1.95529i | ||||||
\(216\) | 4.41199 | + | 12.1688i | 0.300198 | + | 0.827980i | ||||
\(217\) | −1.89692 | −0.128772 | ||||||||
\(218\) | −11.1684 | + | 8.30742i | −0.756422 | + | 0.562649i | ||||
\(219\) | 5.85381 | 0.395564 | ||||||||
\(220\) | 5.04226 | − | 16.7918i | 0.339949 | − | 1.13210i | ||||
\(221\) | −0.579971 | −0.0390131 | ||||||||
\(222\) | 8.04145 | + | 10.8109i | 0.539707 | + | 0.725578i | ||||
\(223\) | − | 19.1543i | − | 1.28266i | −0.767263 | − | 0.641332i | \(-0.778382\pi\) | ||
0.767263 | − | 0.641332i | \(-0.221618\pi\) | |||||||
\(224\) | 9.22599 | − | 0.518226i | 0.616437 | − | 0.0346254i | ||||
\(225\) | −6.07255 | −0.404836 | ||||||||
\(226\) | −18.8085 | + | 13.9904i | −1.25113 | + | 0.930625i | ||||
\(227\) | 11.0480 | 0.733283 | 0.366641 | − | 0.930362i | \(-0.380508\pi\) | ||||
0.366641 | + | 0.930362i | \(0.380508\pi\) | |||||||
\(228\) | −1.38064 | + | 4.59781i | −0.0914349 | + | 0.304498i | ||||
\(229\) | −6.56811 | −0.434033 | −0.217017 | − | 0.976168i | \(-0.569633\pi\) | ||||
−0.217017 | + | 0.976168i | \(0.569633\pi\) | |||||||
\(230\) | −2.18963 | + | 1.62871i | −0.144380 | + | 0.107394i | ||||
\(231\) | 4.50568i | 0.296452i | ||||||||
\(232\) | −12.2399 | + | 4.43778i | −0.803588 | + | 0.291354i | ||||
\(233\) | 24.5471 | 1.60813 | 0.804066 | − | 0.594541i | \(-0.202666\pi\) | ||||
0.804066 | + | 0.594541i | \(0.202666\pi\) | |||||||
\(234\) | 5.27436 | − | 3.92323i | 0.344796 | − | 0.256470i | ||||
\(235\) | 15.8787 | 1.03582 | ||||||||
\(236\) | −5.83008 | + | 19.4154i | −0.379506 | + | 1.26384i | ||||
\(237\) | − | 2.28514i | − | 0.148436i | ||||||
\(238\) | −0.384688 | − | 0.517171i | −0.0249356 | − | 0.0335232i | ||||
\(239\) | − | 11.0648i | − | 0.715719i | −0.933775 | − | 0.357860i | \(-0.883507\pi\) | ||
0.933775 | − | 0.357860i | \(-0.116493\pi\) | |||||||
\(240\) | 8.10445 | + | 5.34959i | 0.523140 | + | 0.345315i | ||||
\(241\) | − | 8.45153i | − | 0.544411i | −0.962239 | − | 0.272205i | \(-0.912247\pi\) | ||
0.962239 | − | 0.272205i | \(-0.0877530\pi\) | |||||||
\(242\) | −0.877870 | − | 1.18020i | −0.0564316 | − | 0.0758662i | ||||
\(243\) | 16.0964i | 1.03259i | ||||||||
\(244\) | 2.60757 | − | 8.68376i | 0.166933 | − | 0.555921i | ||||
\(245\) | 12.0320i | 0.768699i | ||||||||
\(246\) | 7.39117 | + | 9.93664i | 0.471244 | + | 0.633537i | ||||
\(247\) | 5.70876 | 0.363239 | ||||||||
\(248\) | −1.11955 | − | 3.08784i | −0.0710913 | − | 0.196078i | ||||
\(249\) | − | 1.25609i | − | 0.0796012i | ||||||
\(250\) | 7.20010 | − | 5.35565i | 0.455374 | − | 0.338721i | ||||
\(251\) | − | 16.9683i | − | 1.07103i | −0.844525 | − | 0.535516i | \(-0.820117\pi\) | ||
0.844525 | − | 0.535516i | \(-0.179883\pi\) | |||||||
\(252\) | 6.99684 | + | 2.10102i | 0.440759 | + | 0.132352i | ||||
\(253\) | − | 2.19241i | − | 0.137836i | ||||||
\(254\) | −9.50193 | + | 7.06783i | −0.596204 | + | 0.443475i | ||||
\(255\) | − | 0.677360i | − | 0.0424179i | ||||||
\(256\) | 6.28867 | + | 14.7123i | 0.393042 | + | 0.919521i | ||||
\(257\) | 16.1976i | 1.01038i | 0.863009 | + | 0.505189i | \(0.168577\pi\) | ||||
−0.863009 | + | 0.505189i | \(0.831423\pi\) | |||||||
\(258\) | −10.2363 | + | 7.61407i | −0.637284 | + | 0.474031i | ||||
\(259\) | 17.8067 | 1.10645 | ||||||||
\(260\) | 3.32109 | − | 11.0599i | 0.205965 | − | 0.685909i | ||||
\(261\) | −10.2931 | −0.637129 | ||||||||
\(262\) | −10.0701 | − | 13.5382i | −0.622135 | − | 0.836394i | ||||
\(263\) | 11.7622i | 0.725291i | 0.931927 | + | 0.362646i | \(0.118126\pi\) | ||||
−0.931927 | + | 0.362646i | \(0.881874\pi\) | |||||||
\(264\) | −7.33440 | + | 2.65921i | −0.451401 | + | 0.163663i | ||||
\(265\) | −19.0875 | −1.17254 | ||||||||
\(266\) | 3.78655 | + | 5.09061i | 0.232168 | + | 0.312125i | ||||
\(267\) | 1.64889i | 0.100911i | ||||||||
\(268\) | −1.53273 | + | 5.10432i | −0.0936265 | + | 0.311796i | ||||
\(269\) | − | 24.2418i | − | 1.47805i | −0.673678 | − | 0.739025i | \(-0.735286\pi\) | ||
0.673678 | − | 0.739025i | \(-0.264714\pi\) | |||||||
\(270\) | 10.7293 | + | 14.4244i | 0.652963 | + | 0.877838i | ||||
\(271\) | −2.28837 | −0.139009 | −0.0695043 | − | 0.997582i | \(-0.522142\pi\) | ||||
−0.0695043 | + | 0.997582i | \(0.522142\pi\) | |||||||
\(272\) | 0.614819 | − | 0.931430i | 0.0372789 | − | 0.0564762i | ||||
\(273\) | 2.96767i | 0.179612i | ||||||||
\(274\) | −8.05645 | − | 10.8310i | −0.486708 | − | 0.654327i | ||||
\(275\) | − | 8.57042i | − | 0.516816i | ||||||
\(276\) | 1.16302 | + | 0.349234i | 0.0700057 | + | 0.0210214i | ||||
\(277\) | − | 27.8625i | − | 1.67409i | −0.547132 | − | 0.837046i | \(-0.684280\pi\) | ||
0.547132 | − | 0.837046i | \(-0.315720\pi\) | |||||||
\(278\) | −4.03283 | − | 5.42170i | −0.241873 | − | 0.325172i | ||||
\(279\) | − | 2.59672i | − | 0.155461i | ||||||
\(280\) | 12.0652 | − | 4.37444i | 0.721034 | − | 0.261423i | ||||
\(281\) | 6.24618 | 0.372616 | 0.186308 | − | 0.982491i | \(-0.440348\pi\) | ||||
0.186308 | + | 0.982491i | \(0.440348\pi\) | |||||||
\(282\) | −4.21700 | − | 5.66930i | −0.251119 | − | 0.337602i | ||||
\(283\) | − | 2.57303i | − | 0.152951i | −0.997071 | − | 0.0764753i | \(-0.975633\pi\) | ||
0.997071 | − | 0.0764753i | \(-0.0243666\pi\) | |||||||
\(284\) | −2.83685 | + | 9.44732i | −0.168336 | + | 0.560595i | ||||
\(285\) | 6.66737i | 0.394941i | ||||||||
\(286\) | 5.53701 | + | 7.44391i | 0.327410 | + | 0.440168i | ||||
\(287\) | 16.3667 | 0.966096 | ||||||||
\(288\) | 0.709404 | + | 12.6295i | 0.0418021 | + | 0.744203i | ||||
\(289\) | 16.9222 | 0.995421 | ||||||||
\(290\) | −14.5086 | + | 10.7920i | −0.851977 | + | 0.633726i | ||||
\(291\) | − | 6.93462i | − | 0.406515i | ||||||
\(292\) | 12.8295 | + | 3.85247i | 0.750793 | + | 0.225449i | ||||
\(293\) | −17.2986 | −1.01059 | −0.505296 | − | 0.862946i | \(-0.668617\pi\) | ||||
−0.505296 | + | 0.862946i | \(0.668617\pi\) | |||||||
\(294\) | 4.29588 | − | 3.19541i | 0.250541 | − | 0.186360i | ||||
\(295\) | 28.1546i | 1.63923i | ||||||||
\(296\) | 10.5093 | + | 28.9859i | 0.610843 | + | 1.68477i | ||||
\(297\) | −14.4427 | −0.838051 | ||||||||
\(298\) | 0.956562 | − | 0.711520i | 0.0554122 | − | 0.0412173i | ||||
\(299\) | − | 1.44404i | − | 0.0835108i | ||||||
\(300\) | 4.54640 | + | 1.36520i | 0.262486 | + | 0.0788197i | ||||
\(301\) | 16.8603i | 0.971811i | ||||||||
\(302\) | −5.36080 | − | 7.20701i | −0.308479 | − | 0.414717i | ||||
\(303\) | 3.12762 | 0.179677 | ||||||||
\(304\) | −6.05177 | + | 9.16822i | −0.347093 | + | 0.525833i | ||||
\(305\) | − | 12.5925i | − | 0.721043i | ||||||
\(306\) | 0.707961 | − | 0.526603i | 0.0404714 | − | 0.0301039i | ||||
\(307\) | 2.60420 | 0.148629 | 0.0743147 | − | 0.997235i | \(-0.476323\pi\) | ||||
0.0743147 | + | 0.997235i | \(0.476323\pi\) | |||||||
\(308\) | −2.96525 | + | 9.87490i | −0.168961 | + | 0.562675i | ||||
\(309\) | − | 16.2235i | − | 0.922924i | ||||||
\(310\) | −2.72256 | − | 3.66019i | −0.154631 | − | 0.207885i | ||||
\(311\) | 18.4367i | 1.04545i | 0.852502 | + | 0.522725i | \(0.175084\pi\) | ||||
−0.852502 | + | 0.522725i | \(0.824916\pi\) | |||||||
\(312\) | −4.83081 | + | 1.75149i | −0.273491 | + | 0.0991587i | ||||
\(313\) | 6.01499i | 0.339987i | 0.985445 | + | 0.169994i | \(0.0543747\pi\) | ||||
−0.985445 | + | 0.169994i | \(0.945625\pi\) | |||||||
\(314\) | −2.01323 | − | 2.70657i | −0.113613 | − | 0.152740i | ||||
\(315\) | 10.1462 | 0.571676 | ||||||||
\(316\) | 1.50388 | − | 5.00824i | 0.0845999 | − | 0.281736i | ||||
\(317\) | 8.25897 | 0.463870 | 0.231935 | − | 0.972731i | \(-0.425494\pi\) | ||||
0.231935 | + | 0.972731i | \(0.425494\pi\) | |||||||
\(318\) | 5.06917 | + | 6.81496i | 0.284265 | + | 0.382164i | ||||
\(319\) | − | 14.5271i | − | 0.813361i | ||||||
\(320\) | 14.2415 | + | 17.0581i | 0.796127 | + | 0.953579i | ||||
\(321\) | −13.9067 | −0.776195 | ||||||||
\(322\) | 1.28767 | − | 0.957812i | 0.0717593 | − | 0.0533767i | ||||
\(323\) | 0.766269 | 0.0426363 | ||||||||
\(324\) | −1.55799 | + | 5.18844i | −0.0865550 | + | 0.288247i | ||||
\(325\) | − | 5.64492i | − | 0.313124i | ||||||
\(326\) | 12.3193 | + | 16.5620i | 0.682302 | + | 0.917282i | ||||
\(327\) | 8.60227 | 0.475706 | ||||||||
\(328\) | 9.65949 | + | 26.6419i | 0.533356 | + | 1.47106i | ||||
\(329\) | −9.33795 | −0.514818 | ||||||||
\(330\) | −8.69389 | + | 6.46678i | −0.478583 | + | 0.355984i | ||||
\(331\) | 3.79728 | 0.208717 | 0.104359 | − | 0.994540i | \(-0.466721\pi\) | ||||
0.104359 | + | 0.994540i | \(0.466721\pi\) | |||||||
\(332\) | 0.826648 | − | 2.75291i | 0.0453682 | − | 0.151086i | ||||
\(333\) | 24.3757i | 1.33578i | ||||||||
\(334\) | −11.6463 | − | 14.0841i | −0.637258 | − | 0.770650i | ||||
\(335\) | 7.40187i | 0.404407i | ||||||||
\(336\) | −4.76606 | − | 3.14598i | −0.260010 | − | 0.171627i | ||||
\(337\) | 20.7278 | 1.12911 | 0.564557 | − | 0.825394i | \(-0.309047\pi\) | ||||
0.564557 | + | 0.825394i | \(0.309047\pi\) | |||||||
\(338\) | −7.32557 | − | 9.84845i | −0.398459 | − | 0.535685i | ||||
\(339\) | 14.4869 | 0.786821 | ||||||||
\(340\) | 0.445780 | − | 1.48454i | 0.0241758 | − | 0.0805106i | ||||
\(341\) | 3.66485 | 0.198463 | ||||||||
\(342\) | −6.96858 | + | 5.18344i | −0.376818 | + | 0.280288i | ||||
\(343\) | − | 18.5104i | − | 0.999465i | ||||||
\(344\) | −27.4454 | + | 9.95079i | −1.47976 | + | 0.536511i | ||||
\(345\) | 1.68652 | 0.0907991 | ||||||||
\(346\) | −16.3338 | − | 21.9590i | −0.878110 | − | 1.18052i | ||||
\(347\) | 28.3724 | 1.52311 | 0.761556 | − | 0.648099i | \(-0.224436\pi\) | ||||
0.761556 | + | 0.648099i | \(0.224436\pi\) | |||||||
\(348\) | 7.70627 | + | 2.31405i | 0.413099 | + | 0.124046i | ||||
\(349\) | 10.7870i | 0.577415i | 0.957417 | + | 0.288707i | \(0.0932254\pi\) | ||||
−0.957417 | + | 0.288707i | \(0.906775\pi\) | |||||||
\(350\) | 5.03368 | − | 3.74420i | 0.269061 | − | 0.200136i | ||||
\(351\) | −9.51271 | −0.507751 | ||||||||
\(352\) | −17.8246 | + | 1.00121i | −0.950052 | + | 0.0533647i | ||||
\(353\) | −7.38629 | −0.393132 | −0.196566 | − | 0.980491i | \(-0.562979\pi\) | ||||
−0.196566 | + | 0.980491i | \(0.562979\pi\) | |||||||
\(354\) | 10.0523 | − | 7.47717i | 0.534271 | − | 0.397407i | ||||
\(355\) | 13.6997i | 0.727106i | ||||||||
\(356\) | −1.08516 | + | 3.61381i | −0.0575134 | + | 0.191532i | ||||
\(357\) | 0.398341i | 0.0210824i | ||||||||
\(358\) | 1.57502 | − | 1.17155i | 0.0832422 | − | 0.0619181i | ||||
\(359\) | 12.7263i | 0.671670i | 0.941921 | + | 0.335835i | \(0.109018\pi\) | ||||
−0.941921 | + | 0.335835i | \(0.890982\pi\) | |||||||
\(360\) | 5.98822 | + | 16.5162i | 0.315607 | + | 0.870479i | ||||
\(361\) | 11.4575 | 0.603026 | ||||||||
\(362\) | −6.23834 | − | 8.38678i | −0.327880 | − | 0.440799i | ||||
\(363\) | 0.909027i | 0.0477115i | ||||||||
\(364\) | −1.95306 | + | 6.50412i | −0.102368 | + | 0.340909i | ||||
\(365\) | 18.6044 | 0.973796 | ||||||||
\(366\) | −4.49598 | + | 3.34425i | −0.235009 | + | 0.174807i | ||||
\(367\) | 6.84284i | 0.357194i | 0.983922 | + | 0.178597i | \(0.0571558\pi\) | ||||
−0.983922 | + | 0.178597i | \(0.942844\pi\) | |||||||
\(368\) | 2.31911 | + | 1.53080i | 0.120892 | + | 0.0797986i | ||||
\(369\) | 22.4046i | 1.16633i | ||||||||
\(370\) | 25.5570 | + | 34.3587i | 1.32865 | + | 1.78622i | ||||
\(371\) | 11.2250 | 0.582771 | ||||||||
\(372\) | −0.583780 | + | 1.94411i | −0.0302676 | + | 0.100797i | ||||
\(373\) | − | 11.2373i | − | 0.581847i | −0.956746 | − | 0.290923i | \(-0.906038\pi\) | ||
0.956746 | − | 0.290923i | \(-0.0939624\pi\) | |||||||
\(374\) | 0.743215 | + | 0.999173i | 0.0384307 | + | 0.0516660i | ||||
\(375\) | −5.54573 | −0.286380 | ||||||||
\(376\) | −5.51118 | − | 15.2004i | −0.284217 | − | 0.783903i | ||||
\(377\) | − | 9.56829i | − | 0.492792i | ||||||
\(378\) | −6.30966 | − | 8.48266i | −0.324534 | − | 0.436301i | ||||
\(379\) | 21.4840 | 1.10356 | 0.551779 | − | 0.833991i | \(-0.313949\pi\) | ||||
0.551779 | + | 0.833991i | \(0.313949\pi\) | |||||||
\(380\) | −4.38789 | + | 14.6126i | −0.225094 | + | 0.749610i | ||||
\(381\) | 7.31868 | 0.374947 | ||||||||
\(382\) | 19.2198 | − | 14.2963i | 0.983371 | − | 0.731461i | ||||
\(383\) | 14.2491i | 0.728095i | 0.931380 | + | 0.364048i | \(0.118605\pi\) | ||||
−0.931380 | + | 0.364048i | \(0.881395\pi\) | |||||||
\(384\) | 2.30819 | − | 9.61498i | 0.117789 | − | 0.490662i | ||||
\(385\) | 14.3198i | 0.729803i | ||||||||
\(386\) | −7.55521 | + | 5.61979i | −0.384550 | + | 0.286040i | ||||
\(387\) | −23.0802 | −1.17323 | ||||||||
\(388\) | 4.56377 | − | 15.1983i | 0.231690 | − | 0.771578i | ||||
\(389\) | 2.86181i | 0.145099i | 0.997365 | + | 0.0725497i | \(0.0231136\pi\) | ||||
−0.997365 | + | 0.0725497i | \(0.976886\pi\) | |||||||
\(390\) | −5.72624 | + | 4.25935i | −0.289960 | + | 0.215681i | ||||
\(391\) | − | 0.193829i | − | 0.00980233i | ||||||
\(392\) | 11.5181 | − | 4.17606i | 0.581750 | − | 0.210923i | ||||
\(393\) | 10.4275i | 0.526000i | ||||||||
\(394\) | −23.0659 | + | 17.1571i | −1.16204 | + | 0.864362i | ||||
\(395\) | − | 7.26254i | − | 0.365418i | ||||||
\(396\) | −13.5179 | − | 4.05916i | −0.679298 | − | 0.203980i | ||||
\(397\) | 5.69569 | 0.285858 | 0.142929 | − | 0.989733i | \(-0.454348\pi\) | ||||
0.142929 | + | 0.989733i | \(0.454348\pi\) | |||||||
\(398\) | 28.3115 | − | 21.0590i | 1.41913 | − | 1.05559i | ||||
\(399\) | − | 3.92094i | − | 0.196292i | ||||||
\(400\) | 9.06570 | + | 5.98409i | 0.453285 | + | 0.299205i | ||||
\(401\) | 8.69202i | 0.434059i | 0.976165 | + | 0.217029i | \(0.0696367\pi\) | ||||
−0.976165 | + | 0.217029i | \(0.930363\pi\) | |||||||
\(402\) | 2.64274 | − | 1.96575i | 0.131808 | − | 0.0980428i | ||||
\(403\) | 2.41386 | 0.120243 | ||||||||
\(404\) | 6.85468 | + | 2.05833i | 0.341033 | + | 0.102406i | ||||
\(405\) | 7.52385i | 0.373863i | ||||||||
\(406\) | 8.53223 | − | 6.34653i | 0.423447 | − | 0.314973i | ||||
\(407\) | −34.4024 | −1.70526 | ||||||||
\(408\) | −0.648425 | + | 0.235097i | −0.0321018 | + | 0.0116391i | ||||
\(409\) | 5.00654 | 0.247557 | 0.123779 | − | 0.992310i | \(-0.460499\pi\) | ||||
0.123779 | + | 0.992310i | \(0.460499\pi\) | |||||||
\(410\) | 23.4903 | + | 31.5802i | 1.16011 | + | 1.55964i | ||||
\(411\) | 8.34239i | 0.411500i | ||||||||
\(412\) | 10.6769 | − | 35.5564i | 0.526014 | − | 1.75174i | ||||
\(413\) | − | 16.5571i | − | 0.814724i | ||||||
\(414\) | 1.31116 | + | 1.76271i | 0.0644399 | + | 0.0866325i | ||||
\(415\) | − | 3.99205i | − | 0.195962i | ||||||
\(416\) | −11.7402 | + | 0.659448i | −0.575609 | + | 0.0323321i | ||||
\(417\) | 4.17596i | 0.204498i | ||||||||
\(418\) | −7.31559 | − | 9.83503i | −0.357817 | − | 0.481047i | ||||
\(419\) | − | 23.0549i | − | 1.12631i | −0.826352 | − | 0.563154i | \(-0.809588\pi\) | ||
0.826352 | − | 0.563154i | \(-0.190412\pi\) | |||||||
\(420\) | −7.59629 | − | 2.28102i | −0.370661 | − | 0.111303i | ||||
\(421\) | 26.9243 | 1.31221 | 0.656106 | − | 0.754669i | \(-0.272203\pi\) | ||||
0.656106 | + | 0.754669i | \(0.272203\pi\) | |||||||
\(422\) | −14.5332 | + | 10.8102i | −0.707464 | + | 0.526233i | ||||
\(423\) | − | 12.7828i | − | 0.621522i | ||||||
\(424\) | 6.62488 | + | 18.2722i | 0.321732 | + | 0.887374i | ||||
\(425\) | − | 0.757700i | − | 0.0367538i | ||||||
\(426\) | 4.89131 | − | 3.63831i | 0.236985 | − | 0.176277i | ||||
\(427\) | 7.40537i | 0.358371i | ||||||||
\(428\) | −30.4787 | − | 9.15218i | −1.47324 | − | 0.442387i | ||||
\(429\) | − | 5.73352i | − | 0.276817i | ||||||
\(430\) | −32.5326 | + | 24.1987i | −1.56886 | + | 1.16697i | ||||
\(431\) | − | 6.01325i | − | 0.289648i | −0.989457 | − | 0.144824i | \(-0.953738\pi\) | ||
0.989457 | − | 0.144824i | \(-0.0462616\pi\) | |||||||
\(432\) | 10.0843 | − | 15.2773i | 0.485180 | − | 0.735031i | ||||
\(433\) | −9.95207 | −0.478266 | −0.239133 | − | 0.970987i | \(-0.576863\pi\) | ||||
−0.239133 | + | 0.970987i | \(0.576863\pi\) | |||||||
\(434\) | 1.60108 | + | 2.15248i | 0.0768543 | + | 0.103322i | ||||
\(435\) | 11.1750 | 0.535800 | ||||||||
\(436\) | 18.8532 | + | 5.66127i | 0.902906 | + | 0.271126i | ||||
\(437\) | 1.90789i | 0.0912666i | ||||||||
\(438\) | −4.94085 | − | 6.64245i | −0.236083 | − | 0.317388i | ||||
\(439\) | 10.4082 | 0.496754 | 0.248377 | − | 0.968663i | \(-0.420103\pi\) | ||||
0.248377 | + | 0.968663i | \(0.420103\pi\) | |||||||
\(440\) | −23.3099 | + | 8.45140i | −1.11126 | + | 0.402905i | ||||
\(441\) | 9.68611 | 0.461243 | ||||||||
\(442\) | 0.489520 | + | 0.658107i | 0.0232841 | + | 0.0313029i | ||||
\(443\) | −4.44348 | −0.211116 | −0.105558 | − | 0.994413i | \(-0.533663\pi\) | ||||
−0.105558 | + | 0.994413i | \(0.533663\pi\) | |||||||
\(444\) | 5.48002 | − | 18.2496i | 0.260070 | − | 0.866089i | ||||
\(445\) | 5.24045i | 0.248421i | ||||||||
\(446\) | −21.7348 | + | 16.1670i | −1.02917 | + | 0.765529i | ||||
\(447\) | −0.736773 | −0.0348482 | ||||||||
\(448\) | −8.37515 | − | 10.0315i | −0.395689 | − | 0.473945i | ||||
\(449\) | 15.8641 | 0.748673 | 0.374336 | − | 0.927293i | \(-0.377871\pi\) | ||||
0.374336 | + | 0.927293i | \(0.377871\pi\) | |||||||
\(450\) | 5.12548 | + | 6.89065i | 0.241617 | + | 0.324829i | ||||
\(451\) | −31.6204 | −1.48895 | ||||||||
\(452\) | 31.7504 | + | 9.53404i | 1.49341 | + | 0.448443i | ||||
\(453\) | 5.55106i | 0.260812i | ||||||||
\(454\) | −9.32498 | − | 12.5364i | −0.437643 | − | 0.588364i | ||||
\(455\) | 9.43174i | 0.442167i | ||||||||
\(456\) | 6.38255 | − | 2.31410i | 0.298891 | − | 0.108368i | ||||
\(457\) | − | 13.3386i | − | 0.623952i | −0.950090 | − | 0.311976i | \(-0.899009\pi\) | ||
0.950090 | − | 0.311976i | \(-0.100991\pi\) | |||||||
\(458\) | 5.54375 | + | 7.45298i | 0.259043 | + | 0.348255i | ||||
\(459\) | −1.27686 | −0.0595988 | ||||||||
\(460\) | 3.69627 | + | 1.10992i | 0.172340 | + | 0.0517504i | ||||
\(461\) | −24.3222 | −1.13280 | −0.566399 | − | 0.824131i | \(-0.691664\pi\) | ||||
−0.566399 | + | 0.824131i | \(0.691664\pi\) | |||||||
\(462\) | 5.11269 | − | 3.80298i | 0.237864 | − | 0.176930i | ||||
\(463\) | −3.83061 | −0.178024 | −0.0890119 | − | 0.996031i | \(-0.528371\pi\) | ||||
−0.0890119 | + | 0.996031i | \(0.528371\pi\) | |||||||
\(464\) | 15.3666 | + | 10.1432i | 0.713377 | + | 0.470887i | ||||
\(465\) | 2.81919i | 0.130737i | ||||||||
\(466\) | −20.7187 | − | 27.8541i | −0.959776 | − | 1.29032i | ||||
\(467\) | − | 20.8758i | − | 0.966015i | −0.875616 | − | 0.483008i | \(-0.839544\pi\) | ||
0.875616 | − | 0.483008i | \(-0.160456\pi\) | |||||||
\(468\) | −8.90355 | − | 2.67357i | −0.411567 | − | 0.123586i | ||||
\(469\) | − | 4.35288i | − | 0.200997i | ||||||
\(470\) | −13.4023 | − | 18.0180i | −0.618203 | − | 0.831107i | ||||
\(471\) | 2.08468i | 0.0960570i | ||||||||
\(472\) | 26.9519 | − | 9.77188i | 1.24056 | − | 0.449787i | ||||
\(473\) | − | 32.5740i | − | 1.49775i | ||||||
\(474\) | −2.59300 | + | 1.92875i | −0.119100 | + | 0.0885904i | ||||
\(475\) | 7.45816i | 0.342204i | ||||||||
\(476\) | −0.262154 | + | 0.873028i | −0.0120158 | + | 0.0400152i | ||||
\(477\) | 15.3660i | 0.703560i | ||||||||
\(478\) | −12.5554 | + | 9.33910i | −0.574272 | + | 0.427161i | ||||
\(479\) | −24.8006 | −1.13317 | −0.566584 | − | 0.824004i | \(-0.691735\pi\) | ||||
−0.566584 | + | 0.824004i | \(0.691735\pi\) | |||||||
\(480\) | −0.770183 | − | 13.7116i | −0.0351539 | − | 0.625845i | ||||
\(481\) | −22.6592 | −1.03317 | ||||||||
\(482\) | −9.59014 | + | 7.13344i | −0.436819 | + | 0.324919i | ||||
\(483\) | −0.991806 | −0.0451287 | ||||||||
\(484\) | −0.598243 | + | 1.99228i | −0.0271929 | + | 0.0905580i | ||||
\(485\) | − | 22.0394i | − | 1.00076i | ||||||
\(486\) | 18.2650 | − | 13.5861i | 0.828517 | − | 0.616276i | ||||
\(487\) | −26.2545 | −1.18971 | −0.594853 | − | 0.803835i | \(-0.702790\pi\) | ||||
−0.594853 | + | 0.803835i | \(0.702790\pi\) | |||||||
\(488\) | −12.0546 | + | 4.37058i | −0.545684 | + | 0.197847i | ||||
\(489\) | − | 12.7565i | − | 0.576870i | ||||||
\(490\) | 13.6530 | − | 10.1555i | 0.616781 | − | 0.458780i | ||||
\(491\) | 26.8124i | 1.21002i | 0.796216 | + | 0.605012i | \(0.206832\pi\) | ||||
−0.796216 | + | 0.605012i | \(0.793168\pi\) | |||||||
\(492\) | 5.03687 | − | 16.7739i | 0.227080 | − | 0.756224i | ||||
\(493\) | − | 1.28432i | − | 0.0578430i | ||||||
\(494\) | −4.81842 | − | 6.47785i | −0.216791 | − | 0.291452i | ||||
\(495\) | −19.6025 | −0.881066 | ||||||||
\(496\) | −2.55889 | + | 3.87663i | −0.114898 | + | 0.174066i | ||||
\(497\) | − | 8.05652i | − | 0.361384i | ||||||
\(498\) | −1.42531 | + | 1.06019i | −0.0638696 | + | 0.0475082i | ||||
\(499\) | 12.7442 | 0.570511 | 0.285255 | − | 0.958452i | \(-0.407922\pi\) | ||||
0.285255 | + | 0.958452i | \(0.407922\pi\) | |||||||
\(500\) | −12.1544 | − | 3.64972i | −0.543559 | − | 0.163221i | ||||
\(501\) | 0.580221 | + | 11.2796i | 0.0259224 | + | 0.503936i | ||||
\(502\) | −19.2543 | + | 14.3220i | −0.859363 | + | 0.639220i | ||||
\(503\) | 16.6611i | 0.742883i | 0.928456 | + | 0.371441i | \(0.121136\pi\) | ||||
−0.928456 | + | 0.371441i | \(0.878864\pi\) | |||||||
\(504\) | −3.52154 | − | 9.71281i | −0.156862 | − | 0.432643i | ||||
\(505\) | 9.94010 | 0.442328 | ||||||||
\(506\) | −2.48778 | + | 1.85049i | −0.110595 | + | 0.0822642i | ||||
\(507\) | 7.58557i | 0.336887i | ||||||||
\(508\) | 16.0400 | + | 4.81652i | 0.711662 | + | 0.213699i | ||||
\(509\) | −41.3013 | −1.83065 | −0.915324 | − | 0.402718i | \(-0.868066\pi\) | ||||
−0.915324 | + | 0.402718i | \(0.868066\pi\) | |||||||
\(510\) | −0.768616 | + | 0.571720i | −0.0340349 | + | 0.0253162i | ||||
\(511\) | −10.9408 | −0.483994 | ||||||||
\(512\) | 11.3865 | − | 19.5537i | 0.503218 | − | 0.864160i | ||||
\(513\) | 12.5684 | 0.554906 | ||||||||
\(514\) | 18.3798 | − | 13.6714i | 0.810697 | − | 0.603021i | ||||
\(515\) | − | 51.5610i | − | 2.27205i | ||||||
\(516\) | 17.2797 | + | 5.18877i | 0.760697 | + | 0.228423i | ||||
\(517\) | 18.0409 | 0.793437 | ||||||||
\(518\) | −15.0296 | − | 20.2056i | −0.660361 | − | 0.887784i | ||||
\(519\) | 16.9135i | 0.742420i | ||||||||
\(520\) | −15.3531 | + | 5.56653i | −0.673278 | + | 0.244108i | ||||
\(521\) | − | 5.85970i | − | 0.256718i | −0.991728 | − | 0.128359i | \(-0.959029\pi\) | ||
0.991728 | − | 0.128359i | \(-0.0409710\pi\) | |||||||
\(522\) | 8.68783 | + | 11.6798i | 0.380256 | + | 0.511213i | ||||
\(523\) | 33.1581i | 1.44990i | 0.688800 | + | 0.724951i | \(0.258138\pi\) | ||||
−0.688800 | + | 0.724951i | \(0.741862\pi\) | |||||||
\(524\) | −6.86251 | + | 22.8536i | −0.299790 | + | 0.998365i | ||||
\(525\) | −3.87709 | −0.169210 | ||||||||
\(526\) | 13.3469 | − | 9.92782i | 0.581952 | − | 0.432873i | ||||
\(527\) | 0.324004 | 0.0141139 | ||||||||
\(528\) | 9.20800 | + | 6.07803i | 0.400727 | + | 0.264512i | ||||
\(529\) | −22.5174 | −0.979017 | ||||||||
\(530\) | 16.1107 | + | 21.6590i | 0.699802 | + | 0.940809i | ||||
\(531\) | 22.6652 | 0.983587 | ||||||||
\(532\) | 2.58042 | − | 8.59336i | 0.111876 | − | 0.372569i | ||||
\(533\) | −20.8268 | −0.902110 | ||||||||
\(534\) | 1.87104 | − | 1.39173i | 0.0809677 | − | 0.0602262i | ||||
\(535\) | −44.1977 | −1.91083 | ||||||||
\(536\) | 7.08568 | − | 2.56903i | 0.306055 | − | 0.110965i | ||||
\(537\) | −1.21313 | −0.0523502 | ||||||||
\(538\) | −27.5077 | + | 20.4611i | −1.18594 | + | 0.882141i | ||||
\(539\) | 13.6704i | 0.588825i | ||||||||
\(540\) | 7.31169 | − | 24.3495i | 0.314645 | − | 1.04784i | ||||
\(541\) | 12.3723i | 0.531927i | 0.963983 | + | 0.265964i | \(0.0856901\pi\) | ||||
−0.963983 | + | 0.265964i | \(0.914310\pi\) | |||||||
\(542\) | 1.93148 | + | 2.59667i | 0.0829641 | + | 0.111536i | ||||
\(543\) | 6.45975i | 0.277214i | ||||||||
\(544\) | −1.57585 | + | 0.0885157i | −0.0675639 | + | 0.00379508i | ||||
\(545\) | 27.3394 | 1.17109 | ||||||||
\(546\) | 3.36748 | − | 2.50483i | 0.144115 | − | 0.107197i | ||||
\(547\) | −12.7033 | −0.543153 | −0.271576 | − | 0.962417i | \(-0.587545\pi\) | ||||
−0.271576 | + | 0.962417i | \(0.587545\pi\) | |||||||
\(548\) | −5.49025 | + | 18.2837i | −0.234532 | + | 0.781040i | ||||
\(549\) | −10.1373 | −0.432649 | ||||||||
\(550\) | −9.72504 | + | 7.23378i | −0.414677 | + | 0.308450i | ||||
\(551\) | 12.6418i | 0.538559i | ||||||||
\(552\) | −0.585355 | − | 1.61448i | −0.0249144 | − | 0.0687166i | ||||
\(553\) | 4.27095i | 0.181619i | ||||||||
\(554\) | −31.6162 | + | 23.5171i | −1.34324 | + | 0.999144i | ||||
\(555\) | − | 26.4641i | − | 1.12334i | ||||||
\(556\) | −2.74826 | + | 9.15228i | −0.116552 | + | 0.388143i | ||||
\(557\) | −37.9279 | −1.60706 | −0.803528 | − | 0.595267i | \(-0.797046\pi\) | ||||
−0.803528 | + | 0.595267i | \(0.797046\pi\) | |||||||
\(558\) | −2.94655 | + | 2.19174i | −0.124738 | + | 0.0927835i | ||||
\(559\) | − | 21.4549i | − | 0.907446i | ||||||
\(560\) | −15.1473 | − | 9.99845i | −0.640090 | − | 0.422511i | ||||
\(561\) | − | 0.769593i | − | 0.0324923i | ||||||
\(562\) | −5.27203 | − | 7.08768i | −0.222387 | − | 0.298976i | ||||
\(563\) | − | 39.5032i | − | 1.66486i | −0.554128 | − | 0.832431i | \(-0.686948\pi\) | ||
0.554128 | − | 0.832431i | \(-0.313052\pi\) | |||||||
\(564\) | −2.87377 | + | 9.57025i | −0.121007 | + | 0.402980i | ||||
\(565\) | 46.0418 | 1.93699 | ||||||||
\(566\) | −2.91967 | + | 2.17174i | −0.122723 | + | 0.0912850i | ||||
\(567\) | − | 4.42462i | − | 0.185816i | ||||||
\(568\) | 13.1145 | − | 4.75489i | 0.550273 | − | 0.199511i | ||||
\(569\) | − | 8.46777i | − | 0.354987i | −0.984122 | − | 0.177494i | \(-0.943201\pi\) | ||
0.984122 | − | 0.177494i | \(-0.0567989\pi\) | |||||||
\(570\) | 7.56561 | − | 5.62753i | 0.316889 | − | 0.235711i | ||||
\(571\) | 41.2116 | 1.72465 | 0.862325 | − | 0.506355i | \(-0.169007\pi\) | ||||
0.862325 | + | 0.506355i | \(0.169007\pi\) | |||||||
\(572\) | 3.77331 | − | 12.5659i | 0.157770 | − | 0.525408i | ||||
\(573\) | −14.8037 | −0.618433 | ||||||||
\(574\) | −13.8142 | − | 18.5717i | −0.576592 | − | 0.775167i | ||||
\(575\) | 1.88655 | 0.0786747 | ||||||||
\(576\) | 13.7323 | − | 11.4648i | 0.572178 | − | 0.477701i | ||||
\(577\) | 12.9428 | 0.538817 | 0.269408 | − | 0.963026i | \(-0.413172\pi\) | ||||
0.269408 | + | 0.963026i | \(0.413172\pi\) | |||||||
\(578\) | −14.2830 | − | 19.2019i | −0.594094 | − | 0.798696i | ||||
\(579\) | 5.81925 | 0.241840 | ||||||||
\(580\) | 24.4918 | + | 7.35442i | 1.01697 | + | 0.305376i | ||||
\(581\) | 2.34764i | 0.0973964i | ||||||||
\(582\) | −7.86887 | + | 5.85311i | −0.326175 | + | 0.242619i | ||||
\(583\) | −21.6866 | −0.898167 | ||||||||
\(584\) | −6.45718 | − | 17.8096i | −0.267200 | − | 0.736967i | ||||
\(585\) | −12.9112 | −0.533812 | ||||||||
\(586\) | 14.6007 | + | 19.6291i | 0.603149 | + | 0.810869i | ||||
\(587\) | −36.5401 | −1.50817 | −0.754085 | − | 0.656776i | \(-0.771920\pi\) | ||||
−0.754085 | + | 0.656776i | \(0.771920\pi\) | |||||||
\(588\) | −7.25181 | − | 2.17758i | −0.299059 | − | 0.0898019i | ||||
\(589\) | −3.18923 | −0.131410 | ||||||||
\(590\) | 31.9477 | − | 23.7637i | 1.31527 | − | 0.978334i | ||||
\(591\) | 17.7660 | 0.730797 | ||||||||
\(592\) | 24.0207 | − | 36.3905i | 0.987244 | − | 1.49564i | ||||
\(593\) | − | 10.4247i | − | 0.428090i | −0.976824 | − | 0.214045i | \(-0.931336\pi\) | ||
0.976824 | − | 0.214045i | \(-0.0686639\pi\) | |||||||
\(594\) | 12.1902 | + | 16.3885i | 0.500171 | + | 0.672427i | ||||
\(595\) | 1.26599i | 0.0519006i | ||||||||
\(596\) | −1.61476 | − | 0.484881i | −0.0661430 | − | 0.0198615i | ||||
\(597\) | −21.8064 | −0.892477 | ||||||||
\(598\) | −1.63858 | + | 1.21883i | −0.0670066 | + | 0.0498415i | ||||
\(599\) | − | 10.4964i | − | 0.428872i | −0.976738 | − | 0.214436i | \(-0.931209\pi\) | ||
0.976738 | − | 0.214436i | \(-0.0687913\pi\) | |||||||
\(600\) | −2.28822 | − | 6.31118i | −0.0934164 | − | 0.257653i | ||||
\(601\) | 20.0554 | 0.818076 | 0.409038 | − | 0.912517i | \(-0.365864\pi\) | ||||
0.409038 | + | 0.912517i | \(0.365864\pi\) | |||||||
\(602\) | 19.1317 | − | 14.2308i | 0.779752 | − | 0.580003i | ||||
\(603\) | 5.95870 | 0.242657 | ||||||||
\(604\) | −3.65323 | + | 12.1660i | −0.148648 | + | 0.495029i | ||||
\(605\) | 2.88904i | 0.117456i | ||||||||
\(606\) | −2.63984 | − | 3.54898i | −0.107236 | − | 0.144168i | ||||
\(607\) | −5.59687 | −0.227170 | −0.113585 | − | 0.993528i | \(-0.536233\pi\) | ||||
−0.113585 | + | 0.993528i | \(0.536233\pi\) | |||||||
\(608\) | 15.5113 | − | 0.871275i | 0.629067 | − | 0.0353349i | ||||
\(609\) | −6.57178 | −0.266302 | ||||||||
\(610\) | −14.2890 | + | 10.6286i | −0.578543 | + | 0.430338i | ||||
\(611\) | 11.8827 | 0.480721 | ||||||||
\(612\) | −1.19510 | − | 0.358865i | −0.0483089 | − | 0.0145063i | ||||
\(613\) | 5.19519 | 0.209832 | 0.104916 | − | 0.994481i | \(-0.466543\pi\) | ||||
0.104916 | + | 0.994481i | \(0.466543\pi\) | |||||||
\(614\) | −2.19805 | − | 2.95504i | −0.0887060 | − | 0.119256i | ||||
\(615\) | − | 24.3241i | − | 0.980841i | ||||||
\(616\) | 13.7081 | − | 4.97009i | 0.552314 | − | 0.200251i | ||||
\(617\) | −36.0575 | −1.45162 | −0.725810 | − | 0.687895i | \(-0.758535\pi\) | ||||
−0.725810 | + | 0.687895i | \(0.758535\pi\) | |||||||
\(618\) | −18.4092 | + | 13.6933i | −0.740526 | + | 0.550826i | ||||
\(619\) | −0.781264 | −0.0314017 | −0.0157008 | − | 0.999877i | \(-0.504998\pi\) | ||||
−0.0157008 | + | 0.999877i | \(0.504998\pi\) | |||||||
\(620\) | −1.85535 | + | 6.17870i | −0.0745126 | + | 0.248143i | ||||
\(621\) | − | 3.17918i | − | 0.127576i | ||||||
\(622\) | 20.9205 | − | 15.5613i | 0.838837 | − | 0.623952i | ||||
\(623\) | − | 3.08180i | − | 0.123470i | ||||||
\(624\) | 6.06486 | + | 4.00330i | 0.242789 | + | 0.160260i | ||||
\(625\) | −31.2035 | −1.24814 | ||||||||
\(626\) | 6.82534 | − | 5.07690i | 0.272796 | − | 0.202914i | ||||
\(627\) | 7.57523i | 0.302526i | ||||||||
\(628\) | −1.37196 | + | 4.56891i | −0.0547470 | + | 0.182319i | ||||
\(629\) | −3.04147 | −0.121271 | ||||||||
\(630\) | −8.56384 | − | 11.5132i | −0.341191 | − | 0.458695i | ||||
\(631\) | − | 9.50345i | − | 0.378326i | −0.981946 | − | 0.189163i | \(-0.939422\pi\) | ||
0.981946 | − | 0.189163i | \(-0.0605775\pi\) | |||||||
\(632\) | −6.95230 | + | 2.52067i | −0.276548 | + | 0.100267i | ||||
\(633\) | 11.1939 | 0.444917 | ||||||||
\(634\) | −6.97091 | − | 9.37164i | −0.276850 | − | 0.372195i | ||||
\(635\) | 23.2599 | 0.923043 | ||||||||
\(636\) | 3.45450 | − | 11.5042i | 0.136980 | − | 0.456171i | ||||
\(637\) | 9.00402i | 0.356752i | ||||||||
\(638\) | −16.4842 | + | 12.2615i | −0.652617 | + | 0.485436i | ||||
\(639\) | 11.0286 | 0.436287 | ||||||||
\(640\) | 7.33580 | − | 30.5580i | 0.289973 | − | 1.20791i | ||||
\(641\) | 40.9611i | 1.61787i | 0.587900 | + | 0.808934i | \(0.299955\pi\) | ||||
−0.587900 | + | 0.808934i | \(0.700045\pi\) | |||||||
\(642\) | 11.7378 | + | 15.7802i | 0.463254 | + | 0.622796i | ||||
\(643\) | −25.6117 | −1.01003 | −0.505013 | − | 0.863112i | \(-0.668512\pi\) | ||||
−0.505013 | + | 0.863112i | \(0.668512\pi\) | |||||||
\(644\) | −2.17370 | − | 0.652721i | −0.0856558 | − | 0.0257208i | ||||
\(645\) | 25.0576 | 0.986642 | ||||||||
\(646\) | −0.646762 | − | 0.869502i | −0.0254465 | − | 0.0342101i | ||||
\(647\) | −46.8891 | −1.84340 | −0.921700 | − | 0.387903i | \(-0.873199\pi\) | ||||
−0.921700 | + | 0.387903i | \(0.873199\pi\) | |||||||
\(648\) | 7.20245 | − | 2.61137i | 0.282939 | − | 0.102584i | ||||
\(649\) | 31.9883i | 1.25565i | ||||||||
\(650\) | −6.40541 | + | 4.76454i | −0.251241 | + | 0.186881i | ||||
\(651\) | − | 1.65791i | − | 0.0649785i | ||||||
\(652\) | 8.39524 | − | 27.9579i | 0.328783 | − | 1.09492i | ||||
\(653\) | 49.0760 | 1.92049 | 0.960247 | − | 0.279151i | \(-0.0900532\pi\) | ||||
0.960247 | + | 0.279151i | \(0.0900532\pi\) | |||||||
\(654\) | −7.26066 | − | 9.76118i | −0.283914 | − | 0.381692i | ||||
\(655\) | 33.1404i | 1.29490i | ||||||||
\(656\) | 22.0782 | − | 33.4477i | 0.862009 | − | 1.30591i | ||||
\(657\) | − | 14.9770i | − | 0.584309i | ||||||
\(658\) | 7.88162 | + | 10.5960i | 0.307257 | + | 0.413075i | ||||
\(659\) | 34.5451 | 1.34569 | 0.672843 | − | 0.739785i | \(-0.265073\pi\) | ||||
0.672843 | + | 0.739785i | \(0.265073\pi\) | |||||||
\(660\) | 14.6760 | + | 4.40693i | 0.571262 | + | 0.171539i | ||||
\(661\) | 33.2526i | 1.29338i | 0.762754 | + | 0.646689i | \(0.223847\pi\) | ||||
−0.762754 | + | 0.646689i | \(0.776153\pi\) | |||||||
\(662\) | −3.20506 | − | 4.30885i | −0.124568 | − | 0.167468i | ||||
\(663\) | − | 0.506894i | − | 0.0196861i | ||||||
\(664\) | −3.82152 | + | 1.38555i | −0.148304 | + | 0.0537700i | ||||
\(665\) | − | 12.4614i | − | 0.483232i | ||||||
\(666\) | 27.6597 | − | 20.5741i | 1.07179 | − | 0.797230i | ||||
\(667\) | 3.19776 | 0.123818 | ||||||||
\(668\) | −6.15163 | + | 25.1029i | −0.238014 | + | 0.971262i | ||||
\(669\) | 16.7408 | 0.647236 | ||||||||
\(670\) | 8.39906 | − | 6.24748i | 0.324484 | − | 0.241361i | ||||
\(671\) | − | 14.3071i | − | 0.552321i | ||||||
\(672\) | 0.452928 | + | 8.06349i | 0.0174721 | + | 0.311056i | ||||
\(673\) | − | 40.0511i | − | 1.54386i | −0.635710 | − | 0.771928i | \(-0.719293\pi\) | ||
0.635710 | − | 0.771928i | \(-0.280707\pi\) | |||||||
\(674\) | −17.4951 | − | 23.5203i | −0.673886 | − | 0.905967i | ||||
\(675\) | − | 12.4278i | − | 0.478347i | ||||||
\(676\) | −4.99217 | + | 16.6250i | −0.192007 | + | 0.639423i | ||||
\(677\) | 15.5968 | 0.599434 | 0.299717 | − | 0.954028i | \(-0.403108\pi\) | ||||
0.299717 | + | 0.954028i | \(0.403108\pi\) | |||||||
\(678\) | −12.2275 | − | 16.4386i | −0.469596 | − | 0.631321i | ||||
\(679\) | 12.9609i | 0.497393i | ||||||||
\(680\) | −2.06080 | + | 0.747178i | −0.0790281 | + | 0.0286530i | ||||
\(681\) | 9.65594i | 0.370017i | ||||||||
\(682\) | −3.09328 | − | 4.15858i | −0.118448 | − | 0.159240i | ||||
\(683\) | 46.4099 | 1.77583 | 0.887913 | − | 0.460012i | \(-0.152155\pi\) | ||||
0.887913 | + | 0.460012i | \(0.152155\pi\) | |||||||
\(684\) | 11.7635 | + | 3.53237i | 0.449790 | + | 0.135063i | ||||
\(685\) | 26.5135i | 1.01303i | ||||||||
\(686\) | −21.0041 | + | 15.6235i | −0.801941 | + | 0.596508i | ||||
\(687\) | − | 5.74051i | − | 0.219014i | ||||||
\(688\) | 34.4564 | + | 22.7440i | 1.31364 | + | 0.867108i | ||||
\(689\) | −14.2839 | −0.544173 | ||||||||
\(690\) | −1.42349 | − | 1.91373i | −0.0541914 | − | 0.0728545i | ||||
\(691\) | −29.8372 | −1.13506 | −0.567531 | − | 0.823352i | \(-0.692101\pi\) | ||||
−0.567531 | + | 0.823352i | \(0.692101\pi\) | |||||||
\(692\) | −11.1310 | + | 37.0686i | −0.423138 | + | 1.40914i | ||||
\(693\) | 11.5278 | 0.437905 | ||||||||
\(694\) | −23.9475 | − | 32.1948i | −0.909034 | − | 1.22210i | ||||
\(695\) | 13.2719i | 0.503431i | ||||||||
\(696\) | −3.87860 | − | 10.6976i | −0.147018 | − | 0.405493i | ||||
\(697\) | −2.79552 | −0.105888 | ||||||||
\(698\) | 12.2402 | − | 9.10466i | 0.463300 | − | 0.344617i | ||||
\(699\) | 21.4541i | 0.811467i | ||||||||
\(700\) | −8.49726 | − | 2.55157i | −0.321166 | − | 0.0964402i | ||||
\(701\) | −28.6895 | −1.08359 | −0.541793 | − | 0.840512i | \(-0.682255\pi\) | ||||
−0.541793 | + | 0.840512i | \(0.682255\pi\) | |||||||
\(702\) | 8.02911 | + | 10.7943i | 0.303039 | + | 0.407404i | ||||
\(703\) | 29.9377 | 1.12912 | ||||||||
\(704\) | 16.1808 | + | 19.3809i | 0.609835 | + | 0.730444i | ||||
\(705\) | 13.8780i | 0.522675i | ||||||||
\(706\) | 6.23433 | + | 8.38138i | 0.234632 | + | 0.315438i | ||||
\(707\) | −5.84556 | −0.219845 | ||||||||
\(708\) | −16.9690 | − | 5.09548i | −0.637735 | − | 0.191500i | ||||
\(709\) | − | 26.1828i | − | 0.983315i | −0.870789 | − | 0.491658i | \(-0.836391\pi\) | ||
0.870789 | − | 0.491658i | \(-0.163609\pi\) | |||||||
\(710\) | 15.5454 | − | 11.5631i | 0.583408 | − | 0.433957i | ||||
\(711\) | −5.84654 | −0.219262 | ||||||||
\(712\) | 5.01659 | − | 1.81885i | 0.188005 | − | 0.0681643i | ||||
\(713\) | 0.806719i | 0.0302119i | ||||||||
\(714\) | 0.452007 | − | 0.336216i | 0.0169159 | − | 0.0125826i | ||||
\(715\) | − | 18.2221i | − | 0.681467i | ||||||
\(716\) | −2.65876 | − | 0.798375i | −0.0993624 | − | 0.0298367i | ||||
\(717\) | 9.67057 | 0.361154 | ||||||||
\(718\) | 14.4409 | − | 10.7415i | 0.538928 | − | 0.400871i | ||||
\(719\) | −41.8358 | −1.56021 | −0.780106 | − | 0.625647i | \(-0.784835\pi\) | ||||
−0.780106 | + | 0.625647i | \(0.784835\pi\) | |||||||
\(720\) | 13.6870 | − | 20.7353i | 0.510083 | − | 0.772759i | ||||
\(721\) | 30.3219i | 1.12925i | ||||||||
\(722\) | −9.67059 | − | 13.0011i | −0.359902 | − | 0.483850i | ||||
\(723\) | 7.38662 | 0.274711 | ||||||||
\(724\) | −4.25125 | + | 14.1576i | −0.157996 | + | 0.526162i | ||||
\(725\) | 12.5004 | 0.464254 | ||||||||
\(726\) | 1.03149 | − | 0.767256i | 0.0382823 | − | 0.0284755i | ||||
\(727\) | −24.0262 | −0.891084 | −0.445542 | − | 0.895261i | \(-0.646989\pi\) | ||||
−0.445542 | + | 0.895261i | \(0.646989\pi\) | |||||||
\(728\) | 9.02884 | − | 3.27356i | 0.334631 | − | 0.121326i | ||||
\(729\) | −5.94229 | −0.220085 | ||||||||
\(730\) | −15.7028 | − | 21.1108i | −0.581188 | − | 0.781345i | ||||
\(731\) | − | 2.87982i | − | 0.106514i | ||||||
\(732\) | 7.58959 | + | 2.27901i | 0.280519 | + | 0.0842346i | ||||
\(733\) | 1.01312 | 0.0374203 | 0.0187101 | − | 0.999825i | \(-0.494044\pi\) | ||||
0.0187101 | + | 0.999825i | \(0.494044\pi\) | |||||||
\(734\) | 7.76473 | − | 5.77564i | 0.286601 | − | 0.213183i | ||||
\(735\) | −10.5160 | −0.387887 | ||||||||
\(736\) | −0.220390 | − | 3.92361i | −0.00812368 | − | 0.144626i | ||||
\(737\) | 8.40975i | 0.309777i | ||||||||
\(738\) | 25.4229 | − | 18.9104i | 0.935832 | − | 0.696100i | ||||
\(739\) | −30.2972 | −1.11450 | −0.557250 | − | 0.830345i | \(-0.688143\pi\) | ||||
−0.557250 | + | 0.830345i | \(0.688143\pi\) | |||||||
\(740\) | 17.4164 | − | 58.0003i | 0.640240 | − | 2.13213i | ||||
\(741\) | 4.98944i | 0.183292i | ||||||||
\(742\) | −9.47433 | − | 12.7372i | −0.347814 | − | 0.467598i | ||||
\(743\) | 35.4226i | 1.29953i | 0.760136 | + | 0.649764i | \(0.225132\pi\) | ||||
−0.760136 | + | 0.649764i | \(0.774868\pi\) | |||||||
\(744\) | 2.69876 | − | 0.978481i | 0.0989414 | − | 0.0358729i | ||||
\(745\) | −2.34159 | −0.0857891 | ||||||||
\(746\) | −12.7512 | + | 9.48476i | −0.466856 | + | 0.347262i | ||||
\(747\) | −3.21371 | −0.117583 | ||||||||
\(748\) | 0.506480 | − | 1.68669i | 0.0185187 | − | 0.0616713i | ||||
\(749\) | 25.9917 | 0.949717 | ||||||||
\(750\) | 4.68082 | + | 6.29287i | 0.170920 | + | 0.229783i | ||||
\(751\) | 52.2429 | 1.90637 | 0.953186 | − | 0.302385i | \(-0.0977829\pi\) | ||||
0.953186 | + | 0.302385i | \(0.0977829\pi\) | |||||||
\(752\) | −12.5966 | + | 19.0835i | −0.459352 | + | 0.695902i | ||||
\(753\) | 14.8303 | 0.540445 | ||||||||
\(754\) | −10.8574 | + | 8.07603i | −0.395402 | + | 0.294112i | ||||
\(755\) | 17.6422i | 0.642064i | ||||||||
\(756\) | −4.29985 | + | 14.3194i | −0.156384 | + | 0.520792i | ||||
\(757\) | −11.2082 | −0.407368 | −0.203684 | − | 0.979037i | \(-0.565292\pi\) | ||||
−0.203684 | + | 0.979037i | \(0.565292\pi\) | |||||||
\(758\) | −18.1334 | − | 24.3783i | −0.658633 | − | 0.885461i | ||||
\(759\) | 1.91616 | 0.0695524 | ||||||||
\(760\) | 20.2848 | − | 7.35459i | 0.735807 | − | 0.266779i | ||||
\(761\) | −18.3854 | −0.666472 | −0.333236 | − | 0.942843i | \(-0.608141\pi\) | ||||
−0.333236 | + | 0.942843i | \(0.608141\pi\) | |||||||
\(762\) | −6.17726 | − | 8.30467i | −0.223779 | − | 0.300846i | ||||
\(763\) | −16.0777 | −0.582053 | ||||||||
\(764\) | −32.4446 | − | 9.74251i | −1.17381 | − | 0.352472i | ||||
\(765\) | −1.73303 | −0.0626578 | ||||||||
\(766\) | 16.1688 | − | 12.0268i | 0.584202 | − | 0.434547i | ||||
\(767\) | 21.0692i | 0.760763i | ||||||||
\(768\) | −12.8585 | + | 5.49628i | −0.463993 | + | 0.198330i | ||||
\(769\) | 15.9829i | 0.576357i | 0.957577 | + | 0.288178i | \(0.0930496\pi\) | ||||
−0.957577 | + | 0.288178i | \(0.906950\pi\) | |||||||
\(770\) | 16.2490 | − | 12.0865i | 0.585572 | − | 0.435566i | ||||
\(771\) | −14.1567 | −0.509839 | ||||||||
\(772\) | 12.7538 | + | 3.82973i | 0.459020 | + | 0.137835i | ||||
\(773\) | − | 53.5380i | − | 1.92563i | −0.270165 | − | 0.962814i | \(-0.587078\pi\) | ||
0.270165 | − | 0.962814i | \(-0.412922\pi\) | |||||||
\(774\) | 19.4806 | + | 26.1896i | 0.700217 | + | 0.941367i | ||||
\(775\) | 3.15357i | 0.113279i | ||||||||
\(776\) | −21.0979 | + | 7.64940i | −0.757370 | + | 0.274597i | ||||
\(777\) | 15.5630i | 0.558319i | ||||||||
\(778\) | 3.24736 | − | 2.41548i | 0.116423 | − | 0.0865992i | ||||
\(779\) | 27.5168 | 0.985891 | ||||||||
\(780\) | 9.66637 | + | 2.90263i | 0.346111 | + | 0.103931i | ||||
\(781\) | 15.5652i | 0.556965i | ||||||||
\(782\) | −0.219942 | + | 0.163599i | −0.00786510 | + | 0.00585030i | ||||
\(783\) | − | 21.0655i | − | 0.752819i | ||||||
\(784\) | −14.4604 | − | 9.54503i | −0.516442 | − | 0.340894i | ||||
\(785\) | 6.62545i | 0.236473i | ||||||||
\(786\) | 11.8324 | − | 8.80127i | 0.422047 | − | 0.313931i | ||||
\(787\) | −34.7572 | −1.23896 | −0.619480 | − | 0.785013i | \(-0.712656\pi\) | ||||
−0.619480 | + | 0.785013i | \(0.712656\pi\) | |||||||
\(788\) | 38.9371 | + | 11.6921i | 1.38708 | + | 0.416513i | ||||
\(789\) | −10.2802 | −0.365984 | ||||||||
\(790\) | −8.24096 | + | 6.12988i | −0.293200 | + | 0.218091i | ||||
\(791\) | −27.0762 | −0.962718 | ||||||||
\(792\) | 6.80361 | + | 18.7651i | 0.241756 | + | 0.666789i | ||||
\(793\) | − | 9.42342i | − | 0.334635i | ||||||
\(794\) | −4.80740 | − | 6.46303i | −0.170608 | − | 0.229364i | ||||
\(795\) | − | 16.6825i | − | 0.591666i | ||||||
\(796\) | −47.7922 | − | 14.3511i | −1.69395 | − | 0.508661i | ||||
\(797\) | 15.8189i | 0.560333i | 0.959951 | + | 0.280167i | \(0.0903897\pi\) | ||||
−0.959951 | + | 0.280167i | \(0.909610\pi\) | |||||||
\(798\) | −4.44918 | + | 3.30943i | −0.157499 | + | 0.117153i | ||||
\(799\) | 1.59497 | 0.0564260 | ||||||||
\(800\) | −0.861532 | − | 15.3379i | −0.0304597 | − | 0.542276i | ||||
\(801\) | 4.21871 | 0.149061 | ||||||||
\(802\) | 9.86303 | − | 7.33642i | 0.348276 | − | 0.259058i | ||||
\(803\) | 21.1376 | 0.745931 | ||||||||
\(804\) | −4.46117 | − | 1.33960i | −0.157333 | − | 0.0472442i | ||||
\(805\) | −3.15212 | −0.111098 | ||||||||
\(806\) | −2.03739 | − | 2.73906i | −0.0717641 | − | 0.0964792i | ||||
\(807\) | 21.1873 | 0.745828 | ||||||||
\(808\) | −3.45000 | − | 9.51548i | −0.121370 | − | 0.334753i | ||||
\(809\) | 22.7398 | 0.799488 | 0.399744 | − | 0.916627i | \(-0.369099\pi\) | ||||
0.399744 | + | 0.916627i | \(0.369099\pi\) | |||||||
\(810\) | 8.53748 | − | 6.35043i | 0.299976 | − | 0.223132i | ||||
\(811\) | 22.4207 | 0.787297 | 0.393648 | − | 0.919261i | \(-0.371213\pi\) | ||||
0.393648 | + | 0.919261i | \(0.371213\pi\) | |||||||
\(812\) | −14.4031 | − | 4.32498i | −0.505450 | − | 0.151777i | ||||
\(813\) | − | 2.00003i | − | 0.0701441i | ||||||
\(814\) | 29.0370 | + | 39.0372i | 1.01775 | + | 1.36825i | ||||
\(815\) | − | 40.5423i | − | 1.42013i | ||||||
\(816\) | 0.814067 | + | 0.537351i | 0.0284981 | + | 0.0188110i | ||||
\(817\) | 28.3466i | 0.991722i | ||||||||
\(818\) | −4.22572 | − | 5.68103i | −0.147749 | − | 0.198633i | ||||
\(819\) | 7.59280 | 0.265314 | ||||||||
\(820\) | 16.0080 | − | 53.3100i | 0.559024 | − | 1.86167i | ||||
\(821\) | 17.1972i | 0.600186i | 0.953910 | + | 0.300093i | \(0.0970177\pi\) | ||||
−0.953910 | + | 0.300093i | \(0.902982\pi\) | |||||||
\(822\) | 9.46630 | − | 7.04132i | 0.330175 | − | 0.245594i | ||||
\(823\) | 9.06897 | 0.316124 | 0.158062 | − | 0.987429i | \(-0.449475\pi\) | ||||
0.158062 | + | 0.987429i | \(0.449475\pi\) | |||||||
\(824\) | −49.3584 | + | 17.8957i | −1.71948 | + | 0.623427i | ||||
\(825\) | 7.49052 | 0.260787 | ||||||||
\(826\) | −18.7878 | + | 13.9749i | −0.653710 | + | 0.486249i | ||||
\(827\) | −11.5947 | −0.403188 | −0.201594 | − | 0.979469i | \(-0.564612\pi\) | ||||
−0.201594 | + | 0.979469i | \(0.564612\pi\) | |||||||
\(828\) | 0.893517 | − | 2.97560i | 0.0310519 | − | 0.103409i | ||||
\(829\) | − | 25.0722i | − | 0.870793i | −0.900239 | − | 0.435397i | \(-0.856608\pi\) | ||
0.900239 | − | 0.435397i | \(-0.143392\pi\) | |||||||
\(830\) | −4.52986 | + | 3.36945i | −0.157234 | + | 0.116955i | ||||
\(831\) | 24.3517 | 0.844752 | ||||||||
\(832\) | 10.6575 | + | 12.7652i | 0.369482 | + | 0.442555i | ||||
\(833\) | 1.20858i | 0.0418749i | ||||||||
\(834\) | 4.73856 | − | 3.52468i | 0.164083 | − | 0.122050i | ||||
\(835\) | 1.84404 | + | 35.8485i | 0.0638155 | + | 1.24059i | ||||
\(836\) | −4.98537 | + | 16.6023i | −0.172423 | + | 0.574204i | ||||
\(837\) | 5.31433 | 0.183690 | ||||||||
\(838\) | −26.1610 | + | 19.4593i | −0.903715 | + | 0.672211i | ||||
\(839\) | 45.4847i | 1.57031i | 0.619302 | + | 0.785153i | \(0.287416\pi\) | ||||
−0.619302 | + | 0.785153i | \(0.712584\pi\) | |||||||
\(840\) | 3.82325 | + | 10.5450i | 0.131915 | + | 0.363836i | ||||
\(841\) | −7.81143 | −0.269360 | ||||||||
\(842\) | −22.7252 | − | 30.5516i | −0.783163 | − | 1.05288i | ||||
\(843\) | 5.45914i | 0.188023i | ||||||||
\(844\) | 24.5332 | + | 7.36686i | 0.844467 | + | 0.253578i | ||||
\(845\) | 24.1082i | 0.829347i | ||||||||
\(846\) | −14.5050 | + | 10.7892i | −0.498690 | + | 0.370941i | ||||
\(847\) | − | 1.69898i | − | 0.0583777i | ||||||
\(848\) | 15.1422 | − | 22.9398i | 0.519984 | − | 0.787757i | ||||
\(849\) | 2.24882 | 0.0771792 | ||||||||
\(850\) | −0.859779 | + | 0.639530i | −0.0294902 | + | 0.0219357i | ||||
\(851\) | − | 7.57278i | − | 0.259592i | ||||||
\(852\) | −8.25694 | − | 2.47940i | −0.282878 | − | 0.0849429i | ||||
\(853\) | −44.1922 | −1.51311 | −0.756556 | − | 0.653928i | \(-0.773120\pi\) | ||||
−0.756556 | + | 0.653928i | \(0.773120\pi\) | |||||||
\(854\) | 8.40304 | − | 6.25043i | 0.287546 | − | 0.213885i | ||||
\(855\) | 17.0585 | 0.583389 | ||||||||
\(856\) | 15.3401 | + | 42.3097i | 0.524313 | + | 1.44611i | ||||
\(857\) | 40.3105 | 1.37698 | 0.688491 | − | 0.725245i | \(-0.258273\pi\) | ||||
0.688491 | + | 0.725245i | \(0.258273\pi\) | |||||||
\(858\) | −6.50596 | + | 4.83933i | −0.222110 | + | 0.165212i | ||||
\(859\) | 25.3676i | 0.865530i | 0.901507 | + | 0.432765i | \(0.142462\pi\) | ||||
−0.901507 | + | 0.432765i | \(0.857538\pi\) | |||||||
\(860\) | 54.9177 | + | 16.4908i | 1.87268 | + | 0.562330i | ||||
\(861\) | 14.3045i | 0.487495i | ||||||||
\(862\) | −6.82337 | + | 5.07543i | −0.232405 | + | 0.172870i | ||||
\(863\) | 14.4599i | 0.492219i | 0.969242 | + | 0.246110i | \(0.0791524\pi\) | ||||
−0.969242 | + | 0.246110i | \(0.920848\pi\) | |||||||
\(864\) | −25.8471 | + | 1.45184i | −0.879335 | + | 0.0493925i | ||||
\(865\) | 53.7539i | 1.82769i | ||||||||
\(866\) | 8.39995 | + | 11.2928i | 0.285442 | + | 0.383746i | ||||
\(867\) | 14.7899i | 0.502292i | ||||||||
\(868\) | 1.09109 | − | 3.63356i | 0.0370340 | − | 0.123331i | ||||
\(869\) | − | 8.25145i | − | 0.279911i | ||||||
\(870\) | −9.43215 | − | 12.6805i | −0.319780 | − | 0.429910i | ||||
\(871\) | 5.53909i | 0.187685i | ||||||||
\(872\) | −9.48893 | − | 26.1715i | −0.321336 | − | 0.886280i | ||||
\(873\) | −17.7423 | −0.600485 | ||||||||
\(874\) | 2.16492 | − | 1.61033i | 0.0732296 | − | 0.0544704i | ||||
\(875\) | 10.3650 | 0.350402 | ||||||||
\(876\) | −3.36705 | + | 11.2130i | −0.113762 | + | 0.378852i | ||||
\(877\) | 35.2305 | 1.18965 | 0.594825 | − | 0.803855i | \(-0.297221\pi\) | ||||
0.594825 | + | 0.803855i | \(0.297221\pi\) | |||||||
\(878\) | −8.78491 | − | 11.8104i | −0.296476 | − | 0.398581i | ||||
\(879\) | − | 15.1189i | − | 0.509948i | ||||||
\(880\) | 29.2645 | + | 19.3170i | 0.986507 | + | 0.651174i | ||||
\(881\) | − | 30.1992i | − | 1.01744i | −0.860933 | − | 0.508719i | \(-0.830119\pi\) | ||
0.860933 | − | 0.508719i | \(-0.169881\pi\) | |||||||
\(882\) | −8.17548 | − | 10.9910i | −0.275283 | − | 0.370088i | ||||
\(883\) | − | 27.6019i | − | 0.928878i | −0.885605 | − | 0.464439i | \(-0.846256\pi\) | ||
0.885605 | − | 0.464439i | \(-0.153744\pi\) | |||||||
\(884\) | 0.333594 | − | 1.11094i | 0.0112200 | − | 0.0373649i | ||||
\(885\) | −24.6071 | −0.827158 | ||||||||
\(886\) | 3.75048 | + | 5.04211i | 0.126000 | + | 0.169393i | ||||
\(887\) | −22.4487 | −0.753753 | −0.376877 | − | 0.926263i | \(-0.623002\pi\) | ||||
−0.376877 | + | 0.926263i | \(0.623002\pi\) | |||||||
\(888\) | −25.3336 | + | 9.18513i | −0.850141 | + | 0.308233i | ||||
\(889\) | −13.6787 | −0.458768 | ||||||||
\(890\) | 5.94646 | − | 4.42316i | 0.199326 | − | 0.148265i | ||||
\(891\) | 8.54834i | 0.286380i | ||||||||
\(892\) | 36.6901 | + | 11.0173i | 1.22847 | + | 0.368888i | ||||
\(893\) | −15.6996 | −0.525366 | ||||||||
\(894\) | 0.621867 | + | 0.836033i | 0.0207983 | + | 0.0279611i | ||||
\(895\) | −3.85551 | −0.128875 | ||||||||
\(896\) | −4.31403 | + | 17.9705i | −0.144122 | + | 0.600352i | ||||
\(897\) | 1.26208 | 0.0421398 | ||||||||
\(898\) | −13.3899 | − | 18.0013i | −0.446828 | − | 0.600712i | ||||
\(899\) | 5.34538i | 0.178278i | ||||||||
\(900\) | 3.49287 | − | 11.6320i | 0.116429 | − | 0.387733i | ||||
\(901\) | −1.91728 | −0.0638740 | ||||||||
\(902\) | 26.6889 | + | 35.8804i | 0.888644 | + | 1.19469i | ||||
\(903\) | −14.7358 | −0.490378 | ||||||||
\(904\) | −15.9801 | − | 44.0750i | −0.531491 | − | 1.46591i | ||||
\(905\) | 20.5301i | 0.682445i | ||||||||
\(906\) | 6.29891 | − | 4.68532i | 0.209267 | − | 0.155659i | ||||
\(907\) | − | 38.6856i | − | 1.28453i | −0.766481 | − | 0.642267i | \(-0.777994\pi\) | ||
0.766481 | − | 0.642267i | \(-0.222006\pi\) | |||||||
\(908\) | −6.35471 | + | 21.1625i | −0.210888 | + | 0.702303i | ||||
\(909\) | − | 8.00204i | − | 0.265411i | ||||||
\(910\) | 10.7024 | − | 7.96077i | 0.354781 | − | 0.263897i | ||||
\(911\) | − | 6.47174i | − | 0.214418i | −0.994236 | − | 0.107209i | \(-0.965809\pi\) | ||
0.994236 | − | 0.107209i | \(-0.0341915\pi\) | |||||||
\(912\) | −8.01300 | − | 5.28923i | −0.265337 | − | 0.175144i | ||||
\(913\) | − | 4.53563i | − | 0.150107i | ||||||
\(914\) | −15.1356 | + | 11.2583i | −0.500640 | + | 0.372391i | ||||
\(915\) | 11.0058 | 0.363840 | ||||||||
\(916\) | 3.77791 | − | 12.5812i | 0.124826 | − | 0.415696i | ||||
\(917\) | − | 19.4892i | − | 0.643590i | ||||||
\(918\) | 1.07772 | + | 1.44888i | 0.0355702 | + | 0.0478203i | ||||
\(919\) | − | 53.4502i | − | 1.76316i | −0.472035 | − | 0.881580i | \(-0.656480\pi\) | ||
0.472035 | − | 0.881580i | \(-0.343520\pi\) | |||||||
\(920\) | −1.86035 | − | 5.13106i | −0.0613340 | − | 0.169166i | ||||
\(921\) | 2.27606i | 0.0749988i | ||||||||
\(922\) | 20.5289 | + | 27.5990i | 0.676085 | + | 0.908924i | ||||
\(923\) | 10.2520i | 0.337449i | ||||||||
\(924\) | −8.63064 | − | 2.59162i | −0.283927 | − | 0.0852580i | ||||
\(925\) | − | 29.6029i | − | 0.973339i | ||||||
\(926\) | 3.23320 | + | 4.34668i | 0.106249 | + | 0.142841i | ||||
\(927\) | −41.5080 | −1.36330 | ||||||||
\(928\) | −1.46032 | − | 25.9981i | −0.0479374 | − | 0.853430i | ||||
\(929\) | −24.2509 | −0.795645 | −0.397823 | − | 0.917462i | \(-0.630234\pi\) | ||||
−0.397823 | + | 0.917462i | \(0.630234\pi\) | |||||||
\(930\) | 3.19900 | − | 2.37951i | 0.104899 | − | 0.0780273i | ||||
\(931\) | − | 11.8963i | − | 0.389884i | ||||||
\(932\) | −14.1192 | + | 47.0200i | −0.462490 | + | 1.54019i | ||||
\(933\) | −16.1136 | −0.527537 | ||||||||
\(934\) | −23.6882 | + | 17.6200i | −0.775102 | + | 0.576544i | ||||
\(935\) | − | 2.44589i | − | 0.0799892i | ||||||
\(936\) | 4.48120 | + | 12.3597i | 0.146473 | + | 0.403988i | ||||
\(937\) | 34.8644i | 1.13897i | 0.822002 | + | 0.569485i | \(0.192857\pi\) | ||||
−0.822002 | + | 0.569485i | \(0.807143\pi\) | |||||||
\(938\) | −4.93931 | + | 3.67401i | −0.161274 | + | 0.119961i | ||||
\(939\) | −5.25709 | −0.171558 | ||||||||
\(940\) | −9.13329 | + | 30.4158i | −0.297895 | + | 0.992054i | ||||
\(941\) | − | 18.6185i | − | 0.606945i | −0.952840 | − | 0.303472i | \(-0.901854\pi\) | ||
0.952840 | − | 0.303472i | \(-0.0981460\pi\) | |||||||
\(942\) | 2.36553 | − | 1.75956i | 0.0770732 | − | 0.0573294i | ||||
\(943\) | − | 6.96040i | − | 0.226662i | ||||||
\(944\) | −33.8369 | − | 22.3351i | −1.10130 | − | 0.726946i | ||||
\(945\) | 20.7648i | 0.675480i | ||||||||
\(946\) | −36.9624 | + | 27.4938i | −1.20175 | + | 0.893900i | ||||
\(947\) | 32.6577i | 1.06123i | 0.847612 | + | 0.530616i | \(0.178039\pi\) | ||||
−0.847612 | + | 0.530616i | \(0.821961\pi\) | |||||||
\(948\) | 4.37719 | + | 1.31439i | 0.142165 | + | 0.0426893i | ||||
\(949\) | 13.9223 | 0.451938 | ||||||||
\(950\) | 8.46295 | − | 6.29500i | 0.274574 | − | 0.204237i | ||||
\(951\) | 7.21832i | 0.234070i | ||||||||
\(952\) | 1.21191 | − | 0.439399i | 0.0392783 | − | 0.0142410i | ||||
\(953\) | − | 47.6779i | − | 1.54444i | −0.635355 | − | 0.772220i | \(-0.719146\pi\) | ||
0.635355 | − | 0.772220i | \(-0.280854\pi\) | |||||||
\(954\) | 17.4361 | − | 12.9695i | 0.564515 | − | 0.419903i | ||||
\(955\) | −47.0485 | −1.52245 | ||||||||
\(956\) | 21.1946 | + | 6.36433i | 0.685482 | + | 0.205837i | ||||
\(957\) | 12.6966 | 0.410424 | ||||||||
\(958\) | 20.9327 | + | 28.1418i | 0.676306 | + | 0.909220i | ||||
\(959\) | − | 15.5920i | − | 0.503493i | ||||||
\(960\) | −14.9088 | + | 12.4471i | −0.481178 | + | 0.401728i | ||||
\(961\) | 29.6515 | 0.956500 | ||||||||
\(962\) | 19.1253 | + | 25.7119i | 0.616624 | + | 0.828985i | ||||
\(963\) | 35.5803i | 1.14656i | ||||||||
\(964\) | 16.1889 | + | 4.86123i | 0.521411 | + | 0.156570i | ||||
\(965\) | 18.4945 | 0.595360 | ||||||||
\(966\) | 0.837125 | + | 1.12542i | 0.0269341 | + | 0.0362099i | ||||
\(967\) | − | 41.7636i | − | 1.34303i | −0.740993 | − | 0.671513i | \(-0.765645\pi\) | ||
0.740993 | − | 0.671513i | \(-0.234355\pi\) | |||||||
\(968\) | 2.76562 | − | 1.00272i | 0.0888905 | − | 0.0322287i | ||||
\(969\) | 0.669717i | 0.0215144i | ||||||||
\(970\) | −25.0086 | + | 18.6021i | −0.802976 | + | 0.597278i | ||||
\(971\) | 27.0131 | 0.866890 | 0.433445 | − | 0.901180i | \(-0.357298\pi\) | ||||
0.433445 | + | 0.901180i | \(0.357298\pi\) | |||||||
\(972\) | −30.8328 | − | 9.25851i | −0.988963 | − | 0.296967i | ||||
\(973\) | − | 7.80491i | − | 0.250214i | ||||||
\(974\) | 22.1599 | + | 29.7916i | 0.710049 | + | 0.954584i | ||||
\(975\) | 4.93364 | 0.158003 | ||||||||
\(976\) | 15.1339 | + | 9.98962i | 0.484425 | + | 0.319760i | ||||
\(977\) | 31.8169i | 1.01791i | 0.860792 | + | 0.508956i | \(0.169969\pi\) | ||||
−0.860792 | + | 0.508956i | \(0.830031\pi\) | |||||||
\(978\) | −14.4751 | + | 10.7670i | −0.462863 | + | 0.344291i | ||||
\(979\) | 5.95402i | 0.190291i | ||||||||
\(980\) | −23.0474 | − | 6.92071i | −0.736223 | − | 0.221074i | ||||
\(981\) | − | 22.0090i | − | 0.702692i | ||||||
\(982\) | 30.4246 | − | 22.6307i | 0.970887 | − | 0.722175i | ||||
\(983\) | −35.7866 | −1.14141 | −0.570707 | − | 0.821154i | \(-0.693331\pi\) | ||||
−0.570707 | + | 0.821154i | \(0.693331\pi\) | |||||||
\(984\) | −23.2850 | + | 8.44237i | −0.742299 | + | 0.269133i | ||||
\(985\) | 56.4633 | 1.79907 | ||||||||
\(986\) | −1.45735 | + | 1.08402i | −0.0464114 | + | 0.0345222i | ||||
\(987\) | − | 8.16135i | − | 0.259779i | ||||||
\(988\) | −3.28362 | + | 10.9351i | −0.104466 | + | 0.347893i | ||||
\(989\) | 7.17031 | 0.228002 | ||||||||
\(990\) | 16.5453 | + | 22.2434i | 0.525844 | + | 0.706941i | ||||
\(991\) | 14.8548 | 0.471879 | 0.235939 | − | 0.971768i | \(-0.424183\pi\) | ||||
0.235939 | + | 0.971768i | \(0.424183\pi\) | |||||||
\(992\) | 6.55872 | − | 0.368405i | 0.208239 | − | 0.0116969i | ||||
\(993\) | 3.31881i | 0.105319i | ||||||||
\(994\) | −9.14191 | + | 6.80003i | −0.289964 | + | 0.215684i | ||||
\(995\) | −69.3043 | −2.19709 | ||||||||
\(996\) | 2.40604 | + | 0.722488i | 0.0762383 | + | 0.0228929i | ||||
\(997\) | −59.2698 | −1.87709 | −0.938546 | − | 0.345153i | \(-0.887827\pi\) | ||||
−0.938546 | + | 0.345153i | \(0.887827\pi\) | |||||||
\(998\) | −10.7567 | − | 14.4612i | −0.340496 | − | 0.457761i | ||||
\(999\) | −49.8863 | −1.57833 |
(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 | 668.2.b.b.667.18 | yes | 60 | |
4.3 | odd | 2 | inner | 668.2.b.b.667.20 | yes | 60 | |
167.166 | odd | 2 | inner | 668.2.b.b.667.17 | ✓ | 60 | |
668.667 | even | 2 | inner | 668.2.b.b.667.19 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
668.2.b.b.667.17 | ✓ | 60 | 167.166 | odd | 2 | inner | |
668.2.b.b.667.18 | yes | 60 | 1.1 | even | 1 | trivial | |
668.2.b.b.667.19 | yes | 60 | 668.667 | even | 2 | inner | |
668.2.b.b.667.20 | yes | 60 | 4.3 | odd | 2 | inner |