Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,3,Mod(47,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.47");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.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: | \(1.88011382409\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{14} + 40x^{12} + 598x^{10} + 4207x^{8} + 14465x^{6} + 23786x^{4} + 17144x^{2} + 3887 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 47.9 | ||
Root | \(1.13976i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 69.47 |
Dual form | 69.3.b.a.47.6 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.13976i | 0.569882i | 0.958545 | + | 0.284941i | \(0.0919739\pi\) | ||||
−0.958545 | + | 0.284941i | \(0.908026\pi\) | |||||||
\(3\) | −2.53605 | + | 1.60264i | −0.845350 | + | 0.534214i | ||||
\(4\) | 2.70094 | 0.675235 | ||||||||
\(5\) | 4.29888i | 0.859776i | 0.902882 | + | 0.429888i | \(0.141447\pi\) | ||||
−0.902882 | + | 0.429888i | \(0.858553\pi\) | |||||||
\(6\) | −1.82663 | − | 2.89049i | −0.304438 | − | 0.481749i | ||||
\(7\) | −9.25811 | −1.32259 | −0.661293 | − | 0.750127i | \(-0.729992\pi\) | ||||
−0.661293 | + | 0.750127i | \(0.729992\pi\) | |||||||
\(8\) | 7.63748i | 0.954686i | ||||||||
\(9\) | 3.86309 | − | 8.12875i | 0.429232 | − | 0.903194i | ||||
\(10\) | −4.89970 | −0.489970 | ||||||||
\(11\) | 15.8448i | 1.44044i | 0.693746 | + | 0.720220i | \(0.255959\pi\) | ||||
−0.693746 | + | 0.720220i | \(0.744041\pi\) | |||||||
\(12\) | −6.84972 | + | 4.32864i | −0.570810 | + | 0.360720i | ||||
\(13\) | 10.0233 | 0.771021 | 0.385511 | − | 0.922703i | \(-0.374025\pi\) | ||||
0.385511 | + | 0.922703i | \(0.374025\pi\) | |||||||
\(14\) | − | 10.5520i | − | 0.753718i | ||||||
\(15\) | −6.88956 | − | 10.9022i | −0.459304 | − | 0.726811i | ||||
\(16\) | 2.09884 | 0.131177 | ||||||||
\(17\) | − | 27.1126i | − | 1.59486i | −0.603411 | − | 0.797431i | \(-0.706192\pi\) | ||
0.603411 | − | 0.797431i | \(-0.293808\pi\) | |||||||
\(18\) | 9.26485 | + | 4.40300i | 0.514714 | + | 0.244611i | ||||
\(19\) | 27.5173 | 1.44828 | 0.724140 | − | 0.689653i | \(-0.242237\pi\) | ||||
0.724140 | + | 0.689653i | \(0.242237\pi\) | |||||||
\(20\) | 11.6110i | 0.580551i | ||||||||
\(21\) | 23.4790 | − | 14.8374i | 1.11805 | − | 0.706544i | ||||
\(22\) | −18.0594 | −0.820880 | ||||||||
\(23\) | − | 4.79583i | − | 0.208514i | ||||||
\(24\) | −12.2401 | − | 19.3690i | −0.510006 | − | 0.807043i | ||||
\(25\) | 6.51963 | 0.260785 | ||||||||
\(26\) | 11.4242i | 0.439391i | ||||||||
\(27\) | 3.23049 | + | 26.8060i | 0.119648 | + | 0.992816i | ||||
\(28\) | −25.0056 | −0.893057 | ||||||||
\(29\) | 19.8347i | 0.683957i | 0.939708 | + | 0.341978i | \(0.111097\pi\) | ||||
−0.939708 | + | 0.341978i | \(0.888903\pi\) | |||||||
\(30\) | 12.4259 | − | 7.85247i | 0.414196 | − | 0.261749i | ||||
\(31\) | 12.5473 | 0.404750 | 0.202375 | − | 0.979308i | \(-0.435134\pi\) | ||||
0.202375 | + | 0.979308i | \(0.435134\pi\) | |||||||
\(32\) | 32.9421i | 1.02944i | ||||||||
\(33\) | −25.3936 | − | 40.1833i | −0.769502 | − | 1.21767i | ||||
\(34\) | 30.9020 | 0.908882 | ||||||||
\(35\) | − | 39.7995i | − | 1.13713i | ||||||
\(36\) | 10.4340 | − | 21.9553i | 0.289832 | − | 0.609868i | ||||
\(37\) | −20.8158 | −0.562590 | −0.281295 | − | 0.959621i | \(-0.590764\pi\) | ||||
−0.281295 | + | 0.959621i | \(0.590764\pi\) | |||||||
\(38\) | 31.3632i | 0.825348i | ||||||||
\(39\) | −25.4195 | + | 16.0637i | −0.651783 | + | 0.411890i | ||||
\(40\) | −32.8326 | −0.820816 | ||||||||
\(41\) | − | 46.8742i | − | 1.14327i | −0.820507 | − | 0.571637i | \(-0.806309\pi\) | ||
0.820507 | − | 0.571637i | \(-0.193691\pi\) | |||||||
\(42\) | 16.9111 | + | 26.7605i | 0.402646 | + | 0.637155i | ||||
\(43\) | −49.0913 | −1.14166 | −0.570829 | − | 0.821069i | \(-0.693378\pi\) | ||||
−0.570829 | + | 0.821069i | \(0.693378\pi\) | |||||||
\(44\) | 42.7959i | 0.972635i | ||||||||
\(45\) | 34.9445 | + | 16.6069i | 0.776545 | + | 0.369043i | ||||
\(46\) | 5.46611 | 0.118829 | ||||||||
\(47\) | − | 7.46736i | − | 0.158880i | −0.996840 | − | 0.0794400i | \(-0.974687\pi\) | ||
0.996840 | − | 0.0794400i | \(-0.0253132\pi\) | |||||||
\(48\) | −5.32276 | + | 3.36368i | −0.110891 | + | 0.0700767i | ||||
\(49\) | 36.7126 | 0.749236 | ||||||||
\(50\) | 7.43084i | 0.148617i | ||||||||
\(51\) | 43.4518 | + | 68.7590i | 0.851996 | + | 1.34822i | ||||
\(52\) | 27.0723 | 0.520621 | ||||||||
\(53\) | 25.1269i | 0.474092i | 0.971498 | + | 0.237046i | \(0.0761791\pi\) | ||||
−0.971498 | + | 0.237046i | \(0.923821\pi\) | |||||||
\(54\) | −30.5525 | + | 3.68199i | −0.565788 | + | 0.0681851i | ||||
\(55\) | −68.1150 | −1.23846 | ||||||||
\(56\) | − | 70.7086i | − | 1.26265i | ||||||
\(57\) | −69.7853 | + | 44.1004i | −1.22430 | + | 0.773691i | ||||
\(58\) | −22.6069 | −0.389774 | ||||||||
\(59\) | − | 29.4515i | − | 0.499177i | −0.968352 | − | 0.249589i | \(-0.919705\pi\) | ||
0.968352 | − | 0.249589i | \(-0.0802954\pi\) | |||||||
\(60\) | −18.6083 | − | 29.4461i | −0.310138 | − | 0.490768i | ||||
\(61\) | 16.7591 | 0.274740 | 0.137370 | − | 0.990520i | \(-0.456135\pi\) | ||||
0.137370 | + | 0.990520i | \(0.456135\pi\) | |||||||
\(62\) | 14.3009i | 0.230660i | ||||||||
\(63\) | −35.7649 | + | 75.2568i | −0.567696 | + | 1.19455i | ||||
\(64\) | −29.1509 | −0.455482 | ||||||||
\(65\) | 43.0889i | 0.662906i | ||||||||
\(66\) | 45.7994 | − | 28.9427i | 0.693930 | − | 0.438525i | ||||
\(67\) | 38.4334 | 0.573632 | 0.286816 | − | 0.957986i | \(-0.407403\pi\) | ||||
0.286816 | + | 0.957986i | \(0.407403\pi\) | |||||||
\(68\) | − | 73.2296i | − | 1.07691i | ||||||
\(69\) | 7.68599 | + | 12.1625i | 0.111391 | + | 0.176268i | ||||
\(70\) | 45.3620 | 0.648028 | ||||||||
\(71\) | − | 14.6898i | − | 0.206899i | −0.994635 | − | 0.103449i | \(-0.967012\pi\) | ||
0.994635 | − | 0.103449i | \(-0.0329880\pi\) | |||||||
\(72\) | 62.0832 | + | 29.5043i | 0.862267 | + | 0.409781i | ||||
\(73\) | 139.301 | 1.90823 | 0.954115 | − | 0.299442i | \(-0.0968003\pi\) | ||||
0.954115 | + | 0.299442i | \(0.0968003\pi\) | |||||||
\(74\) | − | 23.7251i | − | 0.320609i | ||||||
\(75\) | −16.5341 | + | 10.4486i | −0.220455 | + | 0.139315i | ||||
\(76\) | 74.3226 | 0.977929 | ||||||||
\(77\) | − | 146.693i | − | 1.90511i | ||||||
\(78\) | −18.3088 | − | 28.9722i | −0.234729 | − | 0.371439i | ||||
\(79\) | −103.267 | −1.30718 | −0.653588 | − | 0.756851i | \(-0.726737\pi\) | ||||
−0.653588 | + | 0.756851i | \(0.726737\pi\) | |||||||
\(80\) | 9.02265i | 0.112783i | ||||||||
\(81\) | −51.1531 | − | 62.8041i | −0.631520 | − | 0.775359i | ||||
\(82\) | 53.4255 | 0.651530 | ||||||||
\(83\) | − | 5.81691i | − | 0.0700832i | −0.999386 | − | 0.0350416i | \(-0.988844\pi\) | ||
0.999386 | − | 0.0350416i | \(-0.0111564\pi\) | |||||||
\(84\) | 63.4154 | − | 40.0750i | 0.754945 | − | 0.477083i | ||||
\(85\) | 116.554 | 1.37122 | ||||||||
\(86\) | − | 55.9524i | − | 0.650610i | ||||||
\(87\) | −31.7880 | − | 50.3019i | −0.365379 | − | 0.578183i | ||||
\(88\) | −121.015 | −1.37517 | ||||||||
\(89\) | 48.4794i | 0.544712i | 0.962197 | + | 0.272356i | \(0.0878028\pi\) | ||||
−0.962197 | + | 0.272356i | \(0.912197\pi\) | |||||||
\(90\) | −18.9280 | + | 39.8285i | −0.210311 | + | 0.442539i | ||||
\(91\) | −92.7966 | −1.01974 | ||||||||
\(92\) | − | 12.9533i | − | 0.140796i | ||||||
\(93\) | −31.8205 | + | 20.1088i | −0.342156 | + | 0.216223i | ||||
\(94\) | 8.51102 | 0.0905428 | ||||||||
\(95\) | 118.294i | 1.24520i | ||||||||
\(96\) | −52.7944 | − | 83.5428i | −0.549941 | − | 0.870238i | ||||
\(97\) | −66.6277 | −0.686884 | −0.343442 | − | 0.939174i | \(-0.611593\pi\) | ||||
−0.343442 | + | 0.939174i | \(0.611593\pi\) | |||||||
\(98\) | 41.8436i | 0.426976i | ||||||||
\(99\) | 128.799 | + | 61.2099i | 1.30100 | + | 0.618282i | ||||
\(100\) | 17.6091 | 0.176091 | ||||||||
\(101\) | − | 97.7943i | − | 0.968260i | −0.874996 | − | 0.484130i | \(-0.839136\pi\) | ||
0.874996 | − | 0.484130i | \(-0.160864\pi\) | |||||||
\(102\) | −78.3689 | + | 49.5248i | −0.768323 | + | 0.485537i | ||||
\(103\) | −6.33568 | −0.0615115 | −0.0307557 | − | 0.999527i | \(-0.509791\pi\) | ||||
−0.0307557 | + | 0.999527i | \(0.509791\pi\) | |||||||
\(104\) | 76.5526i | 0.736083i | ||||||||
\(105\) | 63.7843 | + | 100.933i | 0.607469 | + | 0.961271i | ||||
\(106\) | −28.6387 | −0.270176 | ||||||||
\(107\) | − | 102.090i | − | 0.954116i | −0.878872 | − | 0.477058i | \(-0.841703\pi\) | ||
0.878872 | − | 0.477058i | \(-0.158297\pi\) | |||||||
\(108\) | 8.72536 | + | 72.4015i | 0.0807904 | + | 0.670384i | ||||
\(109\) | −11.3038 | −0.103704 | −0.0518521 | − | 0.998655i | \(-0.516512\pi\) | ||||
−0.0518521 | + | 0.998655i | \(0.516512\pi\) | |||||||
\(110\) | − | 77.6350i | − | 0.705773i | ||||||
\(111\) | 52.7899 | − | 33.3603i | 0.475585 | − | 0.300543i | ||||
\(112\) | −19.4313 | −0.173493 | ||||||||
\(113\) | 65.2458i | 0.577397i | 0.957420 | + | 0.288698i | \(0.0932225\pi\) | ||||
−0.957420 | + | 0.288698i | \(0.906778\pi\) | |||||||
\(114\) | −50.2640 | − | 79.5387i | −0.440912 | − | 0.697707i | ||||
\(115\) | 20.6167 | 0.179276 | ||||||||
\(116\) | 53.5725i | 0.461832i | ||||||||
\(117\) | 38.7208 | − | 81.4767i | 0.330947 | − | 0.696382i | ||||
\(118\) | 33.5677 | 0.284472 | ||||||||
\(119\) | 251.012i | 2.10934i | ||||||||
\(120\) | 83.2651 | − | 52.6189i | 0.693876 | − | 0.438491i | ||||
\(121\) | −130.059 | −1.07487 | ||||||||
\(122\) | 19.1014i | 0.156569i | ||||||||
\(123\) | 75.1225 | + | 118.875i | 0.610752 | + | 0.966465i | ||||
\(124\) | 33.8894 | 0.273302 | ||||||||
\(125\) | 135.499i | 1.08399i | ||||||||
\(126\) | −85.7750 | − | 40.7635i | −0.680754 | − | 0.323520i | ||||
\(127\) | 115.289 | 0.907789 | 0.453894 | − | 0.891056i | \(-0.350034\pi\) | ||||
0.453894 | + | 0.891056i | \(0.350034\pi\) | |||||||
\(128\) | 98.5434i | 0.769870i | ||||||||
\(129\) | 124.498 | − | 78.6757i | 0.965100 | − | 0.609889i | ||||
\(130\) | −49.1111 | −0.377778 | ||||||||
\(131\) | − | 48.6952i | − | 0.371719i | −0.982576 | − | 0.185860i | \(-0.940493\pi\) | ||
0.982576 | − | 0.185860i | \(-0.0595070\pi\) | |||||||
\(132\) | −68.5865 | − | 108.533i | −0.519595 | − | 0.822217i | ||||
\(133\) | −254.758 | −1.91548 | ||||||||
\(134\) | 43.8049i | 0.326903i | ||||||||
\(135\) | −115.236 | + | 13.8875i | −0.853600 | + | 0.102870i | ||||
\(136\) | 207.072 | 1.52259 | ||||||||
\(137\) | − | 119.583i | − | 0.872868i | −0.899736 | − | 0.436434i | \(-0.856241\pi\) | ||
0.899736 | − | 0.436434i | \(-0.143759\pi\) | |||||||
\(138\) | −13.8623 | + | 8.76021i | −0.100452 | + | 0.0634798i | ||||
\(139\) | −131.728 | −0.947686 | −0.473843 | − | 0.880609i | \(-0.657134\pi\) | ||||
−0.473843 | + | 0.880609i | \(0.657134\pi\) | |||||||
\(140\) | − | 107.496i | − | 0.767829i | ||||||
\(141\) | 11.9675 | + | 18.9376i | 0.0848759 | + | 0.134309i | ||||
\(142\) | 16.7429 | 0.117908 | ||||||||
\(143\) | 158.817i | 1.11061i | ||||||||
\(144\) | 8.10799 | − | 17.0609i | 0.0563055 | − | 0.118479i | ||||
\(145\) | −85.2672 | −0.588050 | ||||||||
\(146\) | 158.770i | 1.08746i | ||||||||
\(147\) | −93.1048 | + | 58.8370i | −0.633366 | + | 0.400252i | ||||
\(148\) | −56.2223 | −0.379880 | ||||||||
\(149\) | − | 229.136i | − | 1.53783i | −0.639354 | − | 0.768913i | \(-0.720798\pi\) | ||
0.639354 | − | 0.768913i | \(-0.279202\pi\) | |||||||
\(150\) | −11.9090 | − | 18.8450i | −0.0793931 | − | 0.125633i | ||||
\(151\) | 268.458 | 1.77787 | 0.888934 | − | 0.458034i | \(-0.151446\pi\) | ||||
0.888934 | + | 0.458034i | \(0.151446\pi\) | |||||||
\(152\) | 210.163i | 1.38265i | ||||||||
\(153\) | −220.392 | − | 104.738i | −1.44047 | − | 0.684565i | ||||
\(154\) | 167.195 | 1.08568 | ||||||||
\(155\) | 53.9392i | 0.347995i | ||||||||
\(156\) | −68.6566 | + | 43.3871i | −0.440106 | + | 0.278123i | ||||
\(157\) | 145.452 | 0.926444 | 0.463222 | − | 0.886242i | \(-0.346693\pi\) | ||||
0.463222 | + | 0.886242i | \(0.346693\pi\) | |||||||
\(158\) | − | 117.700i | − | 0.744935i | ||||||
\(159\) | −40.2693 | − | 63.7229i | −0.253266 | − | 0.400773i | ||||
\(160\) | −141.614 | −0.885089 | ||||||||
\(161\) | 44.4003i | 0.275778i | ||||||||
\(162\) | 71.5818 | − | 58.3025i | 0.441863 | − | 0.359892i | ||||
\(163\) | −21.5343 | −0.132112 | −0.0660562 | − | 0.997816i | \(-0.521042\pi\) | ||||
−0.0660562 | + | 0.997816i | \(0.521042\pi\) | |||||||
\(164\) | − | 126.604i | − | 0.771978i | ||||||
\(165\) | 172.743 | − | 109.164i | 1.04693 | − | 0.661599i | ||||
\(166\) | 6.62990 | 0.0399391 | ||||||||
\(167\) | − | 308.454i | − | 1.84703i | −0.383565 | − | 0.923514i | \(-0.625304\pi\) | ||
0.383565 | − | 0.923514i | \(-0.374696\pi\) | |||||||
\(168\) | 113.321 | + | 179.321i | 0.674527 | + | 1.06738i | ||||
\(169\) | −68.5339 | −0.405526 | ||||||||
\(170\) | 132.844i | 0.781435i | ||||||||
\(171\) | 106.302 | − | 223.681i | 0.621648 | − | 1.30808i | ||||
\(172\) | −132.593 | −0.770887 | ||||||||
\(173\) | 69.2587i | 0.400339i | 0.979761 | + | 0.200170i | \(0.0641493\pi\) | ||||
−0.979761 | + | 0.200170i | \(0.935851\pi\) | |||||||
\(174\) | 57.3322 | − | 36.2308i | 0.329496 | − | 0.208223i | ||||
\(175\) | −60.3595 | −0.344911 | ||||||||
\(176\) | 33.2557i | 0.188953i | ||||||||
\(177\) | 47.2001 | + | 74.6903i | 0.266667 | + | 0.421979i | ||||
\(178\) | −55.2550 | −0.310421 | ||||||||
\(179\) | − | 108.705i | − | 0.607289i | −0.952785 | − | 0.303645i | \(-0.901796\pi\) | ||
0.952785 | − | 0.303645i | \(-0.0982035\pi\) | |||||||
\(180\) | 94.3830 | + | 44.8544i | 0.524350 | + | 0.249191i | ||||
\(181\) | −9.02162 | −0.0498432 | −0.0249216 | − | 0.999689i | \(-0.507934\pi\) | ||||
−0.0249216 | + | 0.999689i | \(0.507934\pi\) | |||||||
\(182\) | − | 105.766i | − | 0.581133i | ||||||
\(183\) | −42.5020 | + | 26.8589i | −0.232251 | + | 0.146770i | ||||
\(184\) | 36.6281 | 0.199066 | ||||||||
\(185\) | − | 89.4847i | − | 0.483701i | ||||||
\(186\) | −22.9192 | − | 36.2678i | −0.123222 | − | 0.194988i | ||||
\(187\) | 429.595 | 2.29730 | ||||||||
\(188\) | − | 20.1689i | − | 0.107281i | ||||||
\(189\) | −29.9082 | − | 248.173i | −0.158245 | − | 1.31309i | ||||
\(190\) | −134.827 | −0.709614 | ||||||||
\(191\) | 139.748i | 0.731666i | 0.930681 | + | 0.365833i | \(0.119216\pi\) | ||||
−0.930681 | + | 0.365833i | \(0.880784\pi\) | |||||||
\(192\) | 73.9280 | − | 46.7183i | 0.385042 | − | 0.243325i | ||||
\(193\) | 259.578 | 1.34496 | 0.672482 | − | 0.740113i | \(-0.265228\pi\) | ||||
0.672482 | + | 0.740113i | \(0.265228\pi\) | |||||||
\(194\) | − | 75.9398i | − | 0.391442i | ||||||
\(195\) | −69.0560 | − | 109.275i | −0.354133 | − | 0.560387i | ||||
\(196\) | 99.1584 | 0.505910 | ||||||||
\(197\) | 339.721i | 1.72447i | 0.506506 | + | 0.862236i | \(0.330937\pi\) | ||||
−0.506506 | + | 0.862236i | \(0.669063\pi\) | |||||||
\(198\) | −69.7648 | + | 146.800i | −0.352348 | + | 0.741414i | ||||
\(199\) | −181.151 | −0.910307 | −0.455153 | − | 0.890413i | \(-0.650416\pi\) | ||||
−0.455153 | + | 0.890413i | \(0.650416\pi\) | |||||||
\(200\) | 49.7936i | 0.248968i | ||||||||
\(201\) | −97.4689 | + | 61.5949i | −0.484920 | + | 0.306442i | ||||
\(202\) | 111.462 | 0.551794 | ||||||||
\(203\) | − | 183.632i | − | 0.904592i | ||||||
\(204\) | 117.361 | + | 185.714i | 0.575298 | + | 0.910362i | ||||
\(205\) | 201.507 | 0.982959 | ||||||||
\(206\) | − | 7.22117i | − | 0.0350542i | ||||||
\(207\) | −38.9841 | − | 18.5267i | −0.188329 | − | 0.0895010i | ||||
\(208\) | 21.0372 | 0.101141 | ||||||||
\(209\) | 436.007i | 2.08616i | ||||||||
\(210\) | −115.040 | + | 72.6990i | −0.547811 | + | 0.346186i | ||||
\(211\) | −144.244 | −0.683621 | −0.341810 | − | 0.939769i | \(-0.611040\pi\) | ||||
−0.341810 | + | 0.939769i | \(0.611040\pi\) | |||||||
\(212\) | 67.8661i | 0.320123i | ||||||||
\(213\) | 23.5425 | + | 37.2541i | 0.110528 | + | 0.174902i | ||||
\(214\) | 116.359 | 0.543733 | ||||||||
\(215\) | − | 211.037i | − | 0.981570i | ||||||
\(216\) | −204.731 | + | 24.6728i | −0.947827 | + | 0.114226i | ||||
\(217\) | −116.164 | −0.535318 | ||||||||
\(218\) | − | 12.8836i | − | 0.0590992i | ||||||
\(219\) | −353.273 | + | 223.249i | −1.61312 | + | 1.01940i | ||||
\(220\) | −183.975 | −0.836248 | ||||||||
\(221\) | − | 271.758i | − | 1.22967i | ||||||
\(222\) | 38.0228 | + | 60.1680i | 0.171274 | + | 0.271027i | ||||
\(223\) | −222.377 | −0.997207 | −0.498603 | − | 0.866830i | \(-0.666154\pi\) | ||||
−0.498603 | + | 0.866830i | \(0.666154\pi\) | |||||||
\(224\) | − | 304.982i | − | 1.36153i | ||||||
\(225\) | 25.1859 | − | 52.9965i | 0.111937 | − | 0.235540i | ||||
\(226\) | −74.3648 | −0.329048 | ||||||||
\(227\) | − | 297.201i | − | 1.30925i | −0.755952 | − | 0.654627i | \(-0.772826\pi\) | ||
0.755952 | − | 0.654627i | \(-0.227174\pi\) | |||||||
\(228\) | −188.486 | + | 119.112i | −0.826692 | + | 0.522423i | ||||
\(229\) | −103.434 | −0.451675 | −0.225837 | − | 0.974165i | \(-0.572512\pi\) | ||||
−0.225837 | + | 0.974165i | \(0.572512\pi\) | |||||||
\(230\) | 23.4982i | 0.102166i | ||||||||
\(231\) | 235.096 | + | 372.021i | 1.01773 | + | 1.61048i | ||||
\(232\) | −151.488 | −0.652964 | ||||||||
\(233\) | 90.3203i | 0.387641i | 0.981037 | + | 0.193820i | \(0.0620879\pi\) | ||||
−0.981037 | + | 0.193820i | \(0.937912\pi\) | |||||||
\(234\) | 92.8642 | + | 44.1325i | 0.396855 | + | 0.188601i | ||||
\(235\) | 32.1013 | 0.136601 | ||||||||
\(236\) | − | 79.5466i | − | 0.337062i | ||||||
\(237\) | 261.890 | − | 165.500i | 1.10502 | − | 0.698311i | ||||
\(238\) | −286.094 | −1.20208 | ||||||||
\(239\) | 69.5986i | 0.291207i | 0.989343 | + | 0.145604i | \(0.0465125\pi\) | ||||
−0.989343 | + | 0.145604i | \(0.953488\pi\) | |||||||
\(240\) | −14.4601 | − | 22.8819i | −0.0602503 | − | 0.0953412i | ||||
\(241\) | 82.9954 | 0.344379 | 0.172190 | − | 0.985064i | \(-0.444916\pi\) | ||||
0.172190 | + | 0.985064i | \(0.444916\pi\) | |||||||
\(242\) | − | 148.236i | − | 0.612546i | ||||||
\(243\) | 230.379 | + | 77.2942i | 0.948063 | + | 0.318083i | ||||
\(244\) | 45.2654 | 0.185514 | ||||||||
\(245\) | 157.823i | 0.644175i | ||||||||
\(246\) | −135.490 | + | 85.6218i | −0.550771 | + | 0.348056i | ||||
\(247\) | 275.814 | 1.11665 | ||||||||
\(248\) | 95.8295i | 0.386409i | ||||||||
\(249\) | 9.32242 | + | 14.7520i | 0.0374394 | + | 0.0592448i | ||||
\(250\) | −154.437 | −0.617748 | ||||||||
\(251\) | 84.7557i | 0.337672i | 0.985644 | + | 0.168836i | \(0.0540008\pi\) | ||||
−0.985644 | + | 0.168836i | \(0.945999\pi\) | |||||||
\(252\) | −96.5988 | + | 203.264i | −0.383328 | + | 0.806604i | ||||
\(253\) | 75.9891 | 0.300352 | ||||||||
\(254\) | 131.402i | 0.517332i | ||||||||
\(255\) | −295.587 | + | 186.794i | −1.15916 | + | 0.732526i | ||||
\(256\) | −228.920 | −0.894217 | ||||||||
\(257\) | 26.1604i | 0.101791i | 0.998704 | + | 0.0508957i | \(0.0162076\pi\) | ||||
−0.998704 | + | 0.0508957i | \(0.983792\pi\) | |||||||
\(258\) | 89.6716 | + | 141.898i | 0.347564 | + | 0.549993i | ||||
\(259\) | 192.715 | 0.744074 | ||||||||
\(260\) | 116.380i | 0.447617i | ||||||||
\(261\) | 161.232 | + | 76.6233i | 0.617746 | + | 0.293576i | ||||
\(262\) | 55.5010 | 0.211836 | ||||||||
\(263\) | − | 14.1868i | − | 0.0539423i | −0.999636 | − | 0.0269711i | \(-0.991414\pi\) | ||
0.999636 | − | 0.0269711i | \(-0.00858622\pi\) | |||||||
\(264\) | 306.899 | − | 193.943i | 1.16250 | − | 0.734633i | ||||
\(265\) | −108.017 | −0.407613 | ||||||||
\(266\) | − | 290.364i | − | 1.09159i | ||||||
\(267\) | −77.6950 | − | 122.946i | −0.290992 | − | 0.460472i | ||||
\(268\) | 103.806 | 0.387337 | ||||||||
\(269\) | − | 112.702i | − | 0.418965i | −0.977812 | − | 0.209483i | \(-0.932822\pi\) | ||
0.977812 | − | 0.209483i | \(-0.0671780\pi\) | |||||||
\(270\) | −15.8284 | − | 131.342i | −0.0586239 | − | 0.486451i | ||||
\(271\) | −283.857 | −1.04744 | −0.523721 | − | 0.851890i | \(-0.675456\pi\) | ||||
−0.523721 | + | 0.851890i | \(0.675456\pi\) | |||||||
\(272\) | − | 56.9050i | − | 0.209210i | ||||||
\(273\) | 235.337 | − | 148.720i | 0.862039 | − | 0.544760i | ||||
\(274\) | 136.296 | 0.497431 | ||||||||
\(275\) | 103.302i | 0.375645i | ||||||||
\(276\) | 20.7594 | + | 32.8501i | 0.0752153 | + | 0.119022i | ||||
\(277\) | 91.7694 | 0.331298 | 0.165649 | − | 0.986185i | \(-0.447028\pi\) | ||||
0.165649 | + | 0.986185i | \(0.447028\pi\) | |||||||
\(278\) | − | 150.139i | − | 0.540069i | ||||||
\(279\) | 48.4712 | − | 101.994i | 0.173732 | − | 0.365568i | ||||
\(280\) | 303.968 | 1.08560 | ||||||||
\(281\) | − | 407.341i | − | 1.44961i | −0.688953 | − | 0.724806i | \(-0.741929\pi\) | ||
0.688953 | − | 0.724806i | \(-0.258071\pi\) | |||||||
\(282\) | −21.5844 | + | 13.6401i | −0.0765403 | + | 0.0483692i | ||||
\(283\) | −56.0662 | −0.198114 | −0.0990568 | − | 0.995082i | \(-0.531583\pi\) | ||||
−0.0990568 | + | 0.995082i | \(0.531583\pi\) | |||||||
\(284\) | − | 39.6763i | − | 0.139705i | ||||||
\(285\) | −189.582 | − | 299.998i | −0.665201 | − | 1.05263i | ||||
\(286\) | −181.014 | −0.632916 | ||||||||
\(287\) | 433.966i | 1.51208i | ||||||||
\(288\) | 267.778 | + | 127.258i | 0.929785 | + | 0.441869i | ||||
\(289\) | −446.095 | −1.54358 | ||||||||
\(290\) | − | 97.1844i | − | 0.335119i | ||||||
\(291\) | 168.971 | − | 106.780i | 0.580657 | − | 0.366943i | ||||
\(292\) | 376.243 | 1.28850 | ||||||||
\(293\) | 348.736i | 1.19022i | 0.803643 | + | 0.595112i | \(0.202892\pi\) | ||||
−0.803643 | + | 0.595112i | \(0.797108\pi\) | |||||||
\(294\) | −67.0603 | − | 106.117i | −0.228096 | − | 0.360944i | ||||
\(295\) | 126.608 | 0.429181 | ||||||||
\(296\) | − | 158.980i | − | 0.537096i | ||||||
\(297\) | −424.737 | + | 51.1866i | −1.43009 | + | 0.172345i | ||||
\(298\) | 261.161 | 0.876379 | ||||||||
\(299\) | − | 48.0700i | − | 0.160769i | ||||||
\(300\) | −44.6576 | + | 28.2211i | −0.148859 | + | 0.0940704i | ||||
\(301\) | 454.492 | 1.50994 | ||||||||
\(302\) | 305.979i | 1.01317i | ||||||||
\(303\) | 156.729 | + | 248.011i | 0.517258 | + | 0.818518i | ||||
\(304\) | 57.7544 | 0.189982 | ||||||||
\(305\) | 72.0455i | 0.236215i | ||||||||
\(306\) | 119.377 | − | 251.195i | 0.390121 | − | 0.820897i | ||||
\(307\) | −403.287 | −1.31364 | −0.656819 | − | 0.754049i | \(-0.728098\pi\) | ||||
−0.656819 | + | 0.754049i | \(0.728098\pi\) | |||||||
\(308\) | − | 396.209i | − | 1.28639i | ||||||
\(309\) | 16.0676 | − | 10.1538i | 0.0519987 | − | 0.0328603i | ||||
\(310\) | −61.4779 | −0.198316 | ||||||||
\(311\) | − | 319.082i | − | 1.02599i | −0.858392 | − | 0.512994i | \(-0.828536\pi\) | ||
0.858392 | − | 0.512994i | \(-0.171464\pi\) | |||||||
\(312\) | −122.686 | − | 194.141i | −0.393226 | − | 0.622247i | ||||
\(313\) | −265.431 | −0.848024 | −0.424012 | − | 0.905657i | \(-0.639379\pi\) | ||||
−0.424012 | + | 0.905657i | \(0.639379\pi\) | |||||||
\(314\) | 165.780i | 0.527963i | ||||||||
\(315\) | −323.520 | − | 153.749i | −1.02705 | − | 0.488092i | ||||
\(316\) | −278.918 | −0.882651 | ||||||||
\(317\) | 559.221i | 1.76411i | 0.471151 | + | 0.882053i | \(0.343839\pi\) | ||||
−0.471151 | + | 0.882053i | \(0.656161\pi\) | |||||||
\(318\) | 72.6290 | − | 45.8975i | 0.228393 | − | 0.144332i | ||||
\(319\) | −314.278 | −0.985198 | ||||||||
\(320\) | − | 125.316i | − | 0.391613i | ||||||
\(321\) | 163.614 | + | 258.906i | 0.509701 | + | 0.806561i | ||||
\(322\) | −50.6058 | −0.157161 | ||||||||
\(323\) | − | 746.067i | − | 2.30981i | ||||||
\(324\) | −138.162 | − | 169.630i | −0.426425 | − | 0.523550i | ||||
\(325\) | 65.3481 | 0.201071 | ||||||||
\(326\) | − | 24.5440i | − | 0.0752884i | ||||||
\(327\) | 28.6669 | − | 18.1159i | 0.0876664 | − | 0.0554002i | ||||
\(328\) | 358.001 | 1.09147 | ||||||||
\(329\) | 69.1336i | 0.210133i | ||||||||
\(330\) | 124.421 | + | 196.886i | 0.377033 | + | 0.596625i | ||||
\(331\) | 534.218 | 1.61395 | 0.806976 | − | 0.590584i | \(-0.201102\pi\) | ||||
0.806976 | + | 0.590584i | \(0.201102\pi\) | |||||||
\(332\) | − | 15.7111i | − | 0.0473227i | ||||||
\(333\) | −80.4133 | + | 169.207i | −0.241481 | + | 0.508128i | ||||
\(334\) | 351.564 | 1.05259 | ||||||||
\(335\) | 165.220i | 0.493195i | ||||||||
\(336\) | 49.2786 | − | 31.1413i | 0.146663 | − | 0.0926826i | ||||
\(337\) | 102.202 | 0.303270 | 0.151635 | − | 0.988437i | \(-0.451546\pi\) | ||||
0.151635 | + | 0.988437i | \(0.451546\pi\) | |||||||
\(338\) | − | 78.1124i | − | 0.231102i | ||||||
\(339\) | −104.566 | − | 165.467i | −0.308453 | − | 0.488102i | ||||
\(340\) | 314.805 | 0.925898 | ||||||||
\(341\) | 198.809i | 0.583018i | ||||||||
\(342\) | 254.944 | + | 121.159i | 0.745450 | + | 0.354266i | ||||
\(343\) | 113.759 | 0.331657 | ||||||||
\(344\) | − | 374.934i | − | 1.08992i | ||||||
\(345\) | −52.2850 | + | 33.0412i | −0.151551 | + | 0.0957715i | ||||
\(346\) | −78.9385 | −0.228146 | ||||||||
\(347\) | − | 347.278i | − | 1.00080i | −0.865794 | − | 0.500401i | \(-0.833186\pi\) | ||
0.865794 | − | 0.500401i | \(-0.166814\pi\) | |||||||
\(348\) | −85.8574 | − | 135.862i | −0.246717 | − | 0.390409i | ||||
\(349\) | −606.338 | −1.73736 | −0.868680 | − | 0.495374i | \(-0.835031\pi\) | ||||
−0.868680 | + | 0.495374i | \(0.835031\pi\) | |||||||
\(350\) | − | 68.7955i | − | 0.196559i | ||||||
\(351\) | 32.3801 | + | 268.684i | 0.0922510 | + | 0.765483i | ||||
\(352\) | −521.962 | −1.48285 | ||||||||
\(353\) | 435.366i | 1.23333i | 0.787225 | + | 0.616666i | \(0.211517\pi\) | ||||
−0.787225 | + | 0.616666i | \(0.788483\pi\) | |||||||
\(354\) | −85.1293 | + | 53.7969i | −0.240478 | + | 0.151969i | ||||
\(355\) | 63.1498 | 0.177887 | ||||||||
\(356\) | 130.940i | 0.367809i | ||||||||
\(357\) | −402.282 | − | 636.578i | −1.12684 | − | 1.78313i | ||||
\(358\) | 123.898 | 0.346083 | ||||||||
\(359\) | 539.984i | 1.50413i | 0.659086 | + | 0.752067i | \(0.270943\pi\) | ||||
−0.659086 | + | 0.752067i | \(0.729057\pi\) | |||||||
\(360\) | −126.835 | + | 266.888i | −0.352320 | + | 0.741356i | ||||
\(361\) | 396.203 | 1.09751 | ||||||||
\(362\) | − | 10.2825i | − | 0.0284047i | ||||||
\(363\) | 329.835 | − | 208.437i | 0.908637 | − | 0.574208i | ||||
\(364\) | −250.638 | −0.688566 | ||||||||
\(365\) | 598.837i | 1.64065i | ||||||||
\(366\) | −30.6127 | − | 48.4422i | −0.0836414 | − | 0.132356i | ||||
\(367\) | −167.972 | −0.457689 | −0.228845 | − | 0.973463i | \(-0.573495\pi\) | ||||
−0.228845 | + | 0.973463i | \(0.573495\pi\) | |||||||
\(368\) | − | 10.0657i | − | 0.0273524i | ||||||
\(369\) | −381.029 | − | 181.079i | −1.03260 | − | 0.490729i | ||||
\(370\) | 101.991 | 0.275652 | ||||||||
\(371\) | − | 232.627i | − | 0.627027i | ||||||
\(372\) | −85.9452 | + | 54.3125i | −0.231035 | + | 0.146001i | ||||
\(373\) | −351.079 | −0.941231 | −0.470616 | − | 0.882338i | \(-0.655968\pi\) | ||||
−0.470616 | + | 0.882338i | \(0.655968\pi\) | |||||||
\(374\) | 489.637i | 1.30919i | ||||||||
\(375\) | −217.156 | − | 343.632i | −0.579084 | − | 0.916353i | ||||
\(376\) | 57.0318 | 0.151680 | ||||||||
\(377\) | 198.809i | 0.527345i | ||||||||
\(378\) | 282.859 | − | 34.0883i | 0.748303 | − | 0.0901807i | ||||
\(379\) | 504.592 | 1.33138 | 0.665688 | − | 0.746230i | \(-0.268138\pi\) | ||||
0.665688 | + | 0.746230i | \(0.268138\pi\) | |||||||
\(380\) | 319.504i | 0.840800i | ||||||||
\(381\) | −292.379 | + | 184.767i | −0.767399 | + | 0.484953i | ||||
\(382\) | −159.280 | −0.416963 | ||||||||
\(383\) | 211.367i | 0.551871i | 0.961176 | + | 0.275935i | \(0.0889876\pi\) | ||||
−0.961176 | + | 0.275935i | \(0.911012\pi\) | |||||||
\(384\) | −157.930 | − | 249.911i | −0.411275 | − | 0.650809i | ||||
\(385\) | 630.616 | 1.63796 | ||||||||
\(386\) | 295.858i | 0.766470i | ||||||||
\(387\) | −189.644 | + | 399.051i | −0.490036 | + | 1.03114i | ||||
\(388\) | −179.957 | −0.463808 | ||||||||
\(389\) | 504.503i | 1.29692i | 0.761248 | + | 0.648461i | \(0.224587\pi\) | ||||
−0.761248 | + | 0.648461i | \(0.775413\pi\) | |||||||
\(390\) | 124.548 | − | 78.7075i | 0.319354 | − | 0.201814i | ||||
\(391\) | −130.028 | −0.332552 | ||||||||
\(392\) | 280.392i | 0.715285i | ||||||||
\(393\) | 78.0410 | + | 123.494i | 0.198578 | + | 0.314233i | ||||
\(394\) | −387.202 | −0.982745 | ||||||||
\(395\) | − | 443.932i | − | 1.12388i | ||||||
\(396\) | 347.877 | + | 165.324i | 0.878479 | + | 0.417486i | ||||
\(397\) | −559.014 | −1.40810 | −0.704048 | − | 0.710153i | \(-0.748626\pi\) | ||||
−0.704048 | + | 0.710153i | \(0.748626\pi\) | |||||||
\(398\) | − | 206.469i | − | 0.518767i | ||||||
\(399\) | 646.079 | − | 408.286i | 1.61925 | − | 1.02327i | ||||
\(400\) | 13.6837 | 0.0342091 | ||||||||
\(401\) | − | 77.0726i | − | 0.192201i | −0.995372 | − | 0.0961005i | \(-0.969363\pi\) | ||
0.995372 | − | 0.0961005i | \(-0.0306370\pi\) | |||||||
\(402\) | −70.2036 | − | 111.091i | −0.174636 | − | 0.276347i | ||||
\(403\) | 125.765 | 0.312071 | ||||||||
\(404\) | − | 264.136i | − | 0.653803i | ||||||
\(405\) | 269.987 | − | 219.901i | 0.666635 | − | 0.542966i | ||||
\(406\) | 209.297 | 0.515510 | ||||||||
\(407\) | − | 329.823i | − | 0.810376i | ||||||
\(408\) | −525.146 | + | 331.863i | −1.28712 | + | 0.813389i | ||||
\(409\) | 111.980 | 0.273789 | 0.136895 | − | 0.990586i | \(-0.456288\pi\) | ||||
0.136895 | + | 0.990586i | \(0.456288\pi\) | |||||||
\(410\) | 229.670i | 0.560170i | ||||||||
\(411\) | 191.648 | + | 303.268i | 0.466298 | + | 0.737878i | ||||
\(412\) | −17.1123 | −0.0415347 | ||||||||
\(413\) | 272.665i | 0.660205i | ||||||||
\(414\) | 21.1161 | − | 44.4327i | 0.0510050 | − | 0.107325i | ||||
\(415\) | 25.0062 | 0.0602559 | ||||||||
\(416\) | 330.188i | 0.793721i | ||||||||
\(417\) | 334.070 | − | 211.113i | 0.801126 | − | 0.506267i | ||||
\(418\) | −496.945 | −1.18886 | ||||||||
\(419\) | 626.311i | 1.49478i | 0.664388 | + | 0.747388i | \(0.268692\pi\) | ||||
−0.664388 | + | 0.747388i | \(0.731308\pi\) | |||||||
\(420\) | 172.278 | + | 272.615i | 0.410185 | + | 0.649084i | ||||
\(421\) | −766.796 | −1.82137 | −0.910685 | − | 0.413102i | \(-0.864445\pi\) | ||||
−0.910685 | + | 0.413102i | \(0.864445\pi\) | |||||||
\(422\) | − | 164.404i | − | 0.389583i | ||||||
\(423\) | −60.7003 | − | 28.8471i | −0.143500 | − | 0.0681963i | ||||
\(424\) | −191.906 | −0.452608 | ||||||||
\(425\) | − | 176.764i | − | 0.415916i | ||||||
\(426\) | −42.4608 | + | 26.8329i | −0.0996733 | + | 0.0629880i | ||||
\(427\) | −155.158 | −0.363367 | ||||||||
\(428\) | − | 275.740i | − | 0.644252i | ||||||
\(429\) | −254.527 | − | 402.768i | −0.593303 | − | 0.938853i | ||||
\(430\) | 240.533 | 0.559378 | ||||||||
\(431\) | − | 96.8801i | − | 0.224780i | −0.993664 | − | 0.112390i | \(-0.964149\pi\) | ||
0.993664 | − | 0.112390i | \(-0.0358506\pi\) | |||||||
\(432\) | 6.78028 | + | 56.2615i | 0.0156951 | + | 0.130235i | ||||
\(433\) | 235.348 | 0.543528 | 0.271764 | − | 0.962364i | \(-0.412393\pi\) | ||||
0.271764 | + | 0.962364i | \(0.412393\pi\) | |||||||
\(434\) | − | 132.399i | − | 0.305068i | ||||||
\(435\) | 216.242 | − | 136.653i | 0.497107 | − | 0.314144i | ||||
\(436\) | −30.5308 | −0.0700248 | ||||||||
\(437\) | − | 131.968i | − | 0.301987i | ||||||
\(438\) | −254.451 | − | 402.648i | −0.580938 | − | 0.919288i | ||||
\(439\) | 552.254 | 1.25798 | 0.628991 | − | 0.777412i | \(-0.283468\pi\) | ||||
0.628991 | + | 0.777412i | \(0.283468\pi\) | |||||||
\(440\) | − | 520.227i | − | 1.18234i | ||||||
\(441\) | 141.824 | − | 298.427i | 0.321596 | − | 0.676706i | ||||
\(442\) | 309.739 | 0.700767 | ||||||||
\(443\) | − | 568.873i | − | 1.28414i | −0.766647 | − | 0.642069i | \(-0.778076\pi\) | ||
0.766647 | − | 0.642069i | \(-0.221924\pi\) | |||||||
\(444\) | 142.582 | − | 90.1041i | 0.321132 | − | 0.202937i | ||||
\(445\) | −208.407 | −0.468330 | ||||||||
\(446\) | − | 253.457i | − | 0.568290i | ||||||
\(447\) | 367.223 | + | 581.100i | 0.821527 | + | 1.30000i | ||||
\(448\) | 269.882 | 0.602415 | ||||||||
\(449\) | − | 83.1369i | − | 0.185160i | −0.995705 | − | 0.0925801i | \(-0.970489\pi\) | ||
0.995705 | − | 0.0925801i | \(-0.0295114\pi\) | |||||||
\(450\) | 60.4034 | + | 28.7060i | 0.134230 | + | 0.0637910i | ||||
\(451\) | 742.714 | 1.64682 | ||||||||
\(452\) | 176.225i | 0.389879i | ||||||||
\(453\) | −680.823 | + | 430.242i | −1.50292 | + | 0.949762i | ||||
\(454\) | 338.738 | 0.746120 | ||||||||
\(455\) | − | 398.921i | − | 0.876750i | ||||||
\(456\) | −336.816 | − | 532.984i | −0.738631 | − | 1.16882i | ||||
\(457\) | 222.465 | 0.486795 | 0.243398 | − | 0.969927i | \(-0.421738\pi\) | ||||
0.243398 | + | 0.969927i | \(0.421738\pi\) | |||||||
\(458\) | − | 117.890i | − | 0.257401i | ||||||
\(459\) | 726.783 | − | 87.5871i | 1.58340 | − | 0.190822i | ||||
\(460\) | 55.6845 | 0.121053 | ||||||||
\(461\) | 352.980i | 0.765683i | 0.923814 | + | 0.382841i | \(0.125054\pi\) | ||||
−0.923814 | + | 0.382841i | \(0.874946\pi\) | |||||||
\(462\) | −424.016 | + | 267.954i | −0.917783 | + | 0.579987i | ||||
\(463\) | −707.963 | −1.52908 | −0.764539 | − | 0.644577i | \(-0.777033\pi\) | ||||
−0.764539 | + | 0.644577i | \(0.777033\pi\) | |||||||
\(464\) | 41.6299i | 0.0897197i | ||||||||
\(465\) | −86.4451 | − | 136.792i | −0.185903 | − | 0.294177i | ||||
\(466\) | −102.944 | −0.220909 | ||||||||
\(467\) | − | 751.106i | − | 1.60836i | −0.594383 | − | 0.804182i | \(-0.702604\pi\) | ||
0.594383 | − | 0.804182i | \(-0.297396\pi\) | |||||||
\(468\) | 104.583 | − | 220.064i | 0.223467 | − | 0.470222i | ||||
\(469\) | −355.820 | −0.758679 | ||||||||
\(470\) | 36.5879i | 0.0778465i | ||||||||
\(471\) | −368.873 | + | 233.107i | −0.783169 | + | 0.494919i | ||||
\(472\) | 224.935 | 0.476557 | ||||||||
\(473\) | − | 777.843i | − | 1.64449i | ||||||
\(474\) | 188.630 | + | 298.492i | 0.397955 | + | 0.629731i | ||||
\(475\) | 179.403 | 0.377690 | ||||||||
\(476\) | 677.968i | 1.42430i | ||||||||
\(477\) | 204.250 | + | 97.0672i | 0.428197 | + | 0.203495i | ||||
\(478\) | −79.3259 | −0.165954 | ||||||||
\(479\) | − | 165.358i | − | 0.345214i | −0.984991 | − | 0.172607i | \(-0.944781\pi\) | ||
0.984991 | − | 0.172607i | \(-0.0552191\pi\) | |||||||
\(480\) | 359.140 | − | 226.957i | 0.748209 | − | 0.472826i | ||||
\(481\) | −208.643 | −0.433769 | ||||||||
\(482\) | 94.5951i | 0.196255i | ||||||||
\(483\) | −71.1578 | − | 112.601i | −0.147325 | − | 0.233129i | ||||
\(484\) | −351.281 | −0.725787 | ||||||||
\(485\) | − | 286.425i | − | 0.590566i | ||||||
\(486\) | −88.0971 | + | 262.578i | −0.181270 | + | 0.540284i | ||||
\(487\) | 188.659 | 0.387391 | 0.193695 | − | 0.981062i | \(-0.437953\pi\) | ||||
0.193695 | + | 0.981062i | \(0.437953\pi\) | |||||||
\(488\) | 127.998i | 0.262290i | ||||||||
\(489\) | 54.6121 | − | 34.5118i | 0.111681 | − | 0.0705762i | ||||
\(490\) | −179.881 | −0.367103 | ||||||||
\(491\) | − | 227.992i | − | 0.464343i | −0.972675 | − | 0.232171i | \(-0.925417\pi\) | ||
0.972675 | − | 0.232171i | \(-0.0745830\pi\) | |||||||
\(492\) | 202.901 | + | 321.075i | 0.412401 | + | 0.652591i | ||||
\(493\) | 537.772 | 1.09082 | ||||||||
\(494\) | 314.362i | 0.636361i | ||||||||
\(495\) | −263.134 | + | 553.690i | −0.531584 | + | 1.11857i | ||||
\(496\) | 26.3347 | 0.0530941 | ||||||||
\(497\) | 136.000i | 0.273642i | ||||||||
\(498\) | −16.8137 | + | 10.6253i | −0.0337625 | + | 0.0213360i | ||||
\(499\) | −394.469 | −0.790519 | −0.395260 | − | 0.918569i | \(-0.629345\pi\) | ||||
−0.395260 | + | 0.918569i | \(0.629345\pi\) | |||||||
\(500\) | 365.975i | 0.731950i | ||||||||
\(501\) | 494.340 | + | 782.253i | 0.986707 | + | 1.56138i | ||||
\(502\) | −96.6014 | −0.192433 | ||||||||
\(503\) | − | 375.735i | − | 0.746988i | −0.927633 | − | 0.373494i | \(-0.878160\pi\) | ||
0.927633 | − | 0.373494i | \(-0.121840\pi\) | |||||||
\(504\) | −574.773 | − | 273.154i | −1.14042 | − | 0.541971i | ||||
\(505\) | 420.406 | 0.832487 | ||||||||
\(506\) | 86.6096i | 0.171165i | ||||||||
\(507\) | 173.805 | − | 109.835i | 0.342811 | − | 0.216637i | ||||
\(508\) | 311.389 | 0.612971 | ||||||||
\(509\) | 178.295i | 0.350284i | 0.984543 | + | 0.175142i | \(0.0560385\pi\) | ||||
−0.984543 | + | 0.175142i | \(0.943961\pi\) | |||||||
\(510\) | −212.901 | − | 336.899i | −0.417453 | − | 0.660586i | ||||
\(511\) | −1289.66 | −2.52380 | ||||||||
\(512\) | 133.260i | 0.260273i | ||||||||
\(513\) | 88.8944 | + | 737.630i | 0.173283 | + | 1.43788i | ||||
\(514\) | −29.8166 | −0.0580090 | ||||||||
\(515\) | − | 27.2363i | − | 0.0528861i | ||||||
\(516\) | 336.261 | − | 212.498i | 0.651669 | − | 0.411818i | ||||
\(517\) | 118.319 | 0.228857 | ||||||||
\(518\) | 219.650i | 0.424034i | ||||||||
\(519\) | −110.997 | − | 175.643i | −0.213867 | − | 0.338427i | ||||
\(520\) | −329.091 | −0.632866 | ||||||||
\(521\) | − | 726.525i | − | 1.39448i | −0.716837 | − | 0.697241i | \(-0.754411\pi\) | ||
0.716837 | − | 0.697241i | \(-0.245589\pi\) | |||||||
\(522\) | −87.3324 | + | 183.766i | −0.167304 | + | 0.352042i | ||||
\(523\) | 1011.96 | 1.93490 | 0.967452 | − | 0.253053i | \(-0.0814347\pi\) | ||||
0.967452 | + | 0.253053i | \(0.0814347\pi\) | |||||||
\(524\) | − | 131.523i | − | 0.250998i | ||||||
\(525\) | 153.075 | − | 96.7345i | 0.291571 | − | 0.184256i | ||||
\(526\) | 16.1696 | 0.0307407 | ||||||||
\(527\) | − | 340.189i | − | 0.645521i | ||||||
\(528\) | −53.2970 | − | 84.3382i | −0.100941 | − | 0.159731i | ||||
\(529\) | −23.0000 | −0.0434783 | ||||||||
\(530\) | − | 123.114i | − | 0.232291i | ||||||
\(531\) | −239.403 | − | 113.773i | −0.450854 | − | 0.214263i | ||||
\(532\) | −688.087 | −1.29340 | ||||||||
\(533\) | − | 469.833i | − | 0.881488i | ||||||
\(534\) | 140.129 | − | 88.5539i | 0.262414 | − | 0.165831i | ||||
\(535\) | 438.874 | 0.820326 | ||||||||
\(536\) | 293.534i | 0.547639i | ||||||||
\(537\) | 174.215 | + | 275.681i | 0.324422 | + | 0.513372i | ||||
\(538\) | 128.453 | 0.238761 | ||||||||
\(539\) | 581.704i | 1.07923i | ||||||||
\(540\) | −311.245 | + | 37.5093i | −0.576380 | + | 0.0694616i | ||||
\(541\) | 124.826 | 0.230732 | 0.115366 | − | 0.993323i | \(-0.463196\pi\) | ||||
0.115366 | + | 0.993323i | \(0.463196\pi\) | |||||||
\(542\) | − | 323.529i | − | 0.596917i | ||||||
\(543\) | 22.8793 | − | 14.4584i | 0.0421349 | − | 0.0266269i | ||||
\(544\) | 893.148 | 1.64182 | ||||||||
\(545\) | − | 48.5935i | − | 0.0891624i | ||||||
\(546\) | 169.505 | + | 268.228i | 0.310449 | + | 0.491260i | ||||
\(547\) | −228.544 | −0.417813 | −0.208907 | − | 0.977936i | \(-0.566990\pi\) | ||||
−0.208907 | + | 0.977936i | \(0.566990\pi\) | |||||||
\(548\) | − | 322.986i | − | 0.589391i | ||||||
\(549\) | 64.7420 | − | 136.231i | 0.117927 | − | 0.248143i | ||||
\(550\) | −117.740 | −0.214073 | ||||||||
\(551\) | 545.799i | 0.990561i | ||||||||
\(552\) | −92.8906 | + | 58.7017i | −0.168280 | + | 0.106344i | ||||
\(553\) | 956.056 | 1.72885 | ||||||||
\(554\) | 104.595i | 0.188800i | ||||||||
\(555\) | 143.412 | + | 226.938i | 0.258400 | + | 0.408897i | ||||
\(556\) | −355.790 | −0.639911 | ||||||||
\(557\) | − | 197.789i | − | 0.355097i | −0.984112 | − | 0.177548i | \(-0.943183\pi\) | ||
0.984112 | − | 0.177548i | \(-0.0568166\pi\) | |||||||
\(558\) | 116.249 | + | 55.2456i | 0.208331 | + | 0.0990065i | ||||
\(559\) | −492.056 | −0.880243 | ||||||||
\(560\) | − | 83.5327i | − | 0.149165i | ||||||
\(561\) | −1089.47 | + | 688.487i | −1.94202 | + | 1.22725i | ||||
\(562\) | 464.272 | 0.826107 | ||||||||
\(563\) | 157.256i | 0.279318i | 0.990200 | + | 0.139659i | \(0.0446007\pi\) | ||||
−0.990200 | + | 0.139659i | \(0.955399\pi\) | |||||||
\(564\) | 32.3235 | + | 51.1493i | 0.0573111 | + | 0.0906902i | ||||
\(565\) | −280.484 | −0.496432 | ||||||||
\(566\) | − | 63.9021i | − | 0.112901i | ||||||
\(567\) | 473.581 | + | 581.447i | 0.835240 | + | 1.02548i | ||||
\(568\) | 112.193 | 0.197523 | ||||||||
\(569\) | 97.4459i | 0.171258i | 0.996327 | + | 0.0856291i | \(0.0272900\pi\) | ||||
−0.996327 | + | 0.0856291i | \(0.972710\pi\) | |||||||
\(570\) | 341.927 | − | 216.079i | 0.599872 | − | 0.379086i | ||||
\(571\) | −761.024 | −1.33279 | −0.666396 | − | 0.745598i | \(-0.732164\pi\) | ||||
−0.666396 | + | 0.745598i | \(0.732164\pi\) | |||||||
\(572\) | 428.956i | 0.749923i | ||||||||
\(573\) | −223.966 | − | 354.408i | −0.390866 | − | 0.618513i | ||||
\(574\) | −494.619 | −0.861705 | ||||||||
\(575\) | − | 31.2671i | − | 0.0543775i | ||||||
\(576\) | −112.612 | + | 236.960i | −0.195507 | + | 0.411389i | ||||
\(577\) | −735.666 | −1.27498 | −0.637492 | − | 0.770457i | \(-0.720028\pi\) | ||||
−0.637492 | + | 0.770457i | \(0.720028\pi\) | |||||||
\(578\) | − | 508.443i | − | 0.879659i | ||||||
\(579\) | −658.303 | + | 416.010i | −1.13696 | + | 0.718498i | ||||
\(580\) | −230.302 | −0.397072 | ||||||||
\(581\) | 53.8536i | 0.0926912i | ||||||||
\(582\) | 121.704 | + | 192.587i | 0.209114 | + | 0.330906i | ||||
\(583\) | −398.131 | −0.682900 | ||||||||
\(584\) | 1063.91i | 1.82176i | ||||||||
\(585\) | 350.259 | + | 166.456i | 0.598733 | + | 0.284540i | ||||
\(586\) | −397.476 | −0.678287 | ||||||||
\(587\) | 490.856i | 0.836212i | 0.908398 | + | 0.418106i | \(0.137306\pi\) | ||||
−0.908398 | + | 0.418106i | \(0.862694\pi\) | |||||||
\(588\) | −251.471 | + | 158.915i | −0.427671 | + | 0.270264i | ||||
\(589\) | 345.267 | 0.586192 | ||||||||
\(590\) | 144.303i | 0.244582i | ||||||||
\(591\) | −544.451 | − | 861.549i | −0.921237 | − | 1.45778i | ||||
\(592\) | −43.6890 | −0.0737990 | ||||||||
\(593\) | − | 1145.16i | − | 1.93113i | −0.260165 | − | 0.965564i | \(-0.583777\pi\) | ||
0.260165 | − | 0.965564i | \(-0.416223\pi\) | |||||||
\(594\) | −58.3406 | − | 484.100i | −0.0982165 | − | 0.814983i | ||||
\(595\) | −1079.07 | −1.81356 | ||||||||
\(596\) | − | 618.883i | − | 1.03839i | ||||||
\(597\) | 459.408 | − | 290.320i | 0.769527 | − | 0.486298i | ||||
\(598\) | 54.7884 | 0.0916193 | ||||||||
\(599\) | 1076.26i | 1.79675i | 0.439225 | + | 0.898377i | \(0.355253\pi\) | ||||
−0.439225 | + | 0.898377i | \(0.644747\pi\) | |||||||
\(600\) | −79.8012 | − | 126.279i | −0.133002 | − | 0.210465i | ||||
\(601\) | 418.907 | 0.697016 | 0.348508 | − | 0.937306i | \(-0.386688\pi\) | ||||
0.348508 | + | 0.937306i | \(0.386688\pi\) | |||||||
\(602\) | 518.014i | 0.860488i | ||||||||
\(603\) | 148.471 | − | 312.415i | 0.246221 | − | 0.518102i | ||||
\(604\) | 725.090 | 1.20048 | ||||||||
\(605\) | − | 559.107i | − | 0.924143i | ||||||
\(606\) | −282.674 | + | 178.634i | −0.466458 | + | 0.294776i | ||||
\(607\) | 1048.47 | 1.72729 | 0.863646 | − | 0.504099i | \(-0.168175\pi\) | ||||
0.863646 | + | 0.504099i | \(0.168175\pi\) | |||||||
\(608\) | 906.479i | 1.49092i | ||||||||
\(609\) | 294.296 | + | 465.700i | 0.483245 | + | 0.764697i | ||||
\(610\) | −82.1148 | −0.134614 | ||||||||
\(611\) | − | 74.8474i | − | 0.122500i | ||||||
\(612\) | −595.265 | − | 282.892i | −0.972656 | − | 0.462242i | ||||
\(613\) | −498.397 | −0.813046 | −0.406523 | − | 0.913640i | \(-0.633259\pi\) | ||||
−0.406523 | + | 0.913640i | \(0.633259\pi\) | |||||||
\(614\) | − | 459.651i | − | 0.748618i | ||||||
\(615\) | −511.030 | + | 322.943i | −0.830944 | + | 0.525110i | ||||
\(616\) | 1120.37 | 1.81878 | ||||||||
\(617\) | − | 585.285i | − | 0.948598i | −0.880364 | − | 0.474299i | \(-0.842702\pi\) | ||
0.880364 | − | 0.474299i | \(-0.157298\pi\) | |||||||
\(618\) | 11.5729 | + | 18.3133i | 0.0187265 | + | 0.0296331i | ||||
\(619\) | 365.160 | 0.589920 | 0.294960 | − | 0.955510i | \(-0.404694\pi\) | ||||
0.294960 | + | 0.955510i | \(0.404694\pi\) | |||||||
\(620\) | 145.686i | 0.234978i | ||||||||
\(621\) | 128.557 | − | 15.4929i | 0.207017 | − | 0.0249483i | ||||
\(622\) | 363.678 | 0.584691 | ||||||||
\(623\) | − | 448.827i | − | 0.720429i | ||||||
\(624\) | −53.3515 | + | 33.7151i | −0.0854991 | + | 0.0540307i | ||||
\(625\) | −419.504 | −0.671206 | ||||||||
\(626\) | − | 302.529i | − | 0.483273i | ||||||
\(627\) | −698.763 | − | 1105.74i | −1.11445 | − | 1.76353i | ||||
\(628\) | 392.856 | 0.625567 | ||||||||
\(629\) | 564.372i | 0.897252i | ||||||||
\(630\) | 175.237 | − | 368.736i | 0.278154 | − | 0.585296i | ||||
\(631\) | 7.95591 | 0.0126084 | 0.00630421 | − | 0.999980i | \(-0.497993\pi\) | ||||
0.00630421 | + | 0.999980i | \(0.497993\pi\) | |||||||
\(632\) | − | 788.699i | − | 1.24794i | ||||||
\(633\) | 365.810 | − | 231.171i | 0.577899 | − | 0.365200i | ||||
\(634\) | −637.380 | −1.00533 | ||||||||
\(635\) | 495.614i | 0.780495i | ||||||||
\(636\) | −108.765 | − | 172.112i | −0.171014 | − | 0.270616i | ||||
\(637\) | 367.980 | 0.577677 | ||||||||
\(638\) | − | 358.203i | − | 0.561446i | ||||||
\(639\) | −119.410 | − | 56.7480i | −0.186870 | − | 0.0888076i | ||||
\(640\) | −423.626 | −0.661916 | ||||||||
\(641\) | 1221.48i | 1.90558i | 0.303627 | + | 0.952791i | \(0.401802\pi\) | ||||
−0.303627 | + | 0.952791i | \(0.598198\pi\) | |||||||
\(642\) | −295.092 | + | 186.481i | −0.459644 | + | 0.290469i | ||||
\(643\) | 791.810 | 1.23143 | 0.615715 | − | 0.787969i | \(-0.288867\pi\) | ||||
0.615715 | + | 0.787969i | \(0.288867\pi\) | |||||||
\(644\) | 119.923i | 0.186215i | ||||||||
\(645\) | 338.217 | + | 535.201i | 0.524368 | + | 0.829770i | ||||
\(646\) | 850.340 | 1.31632 | ||||||||
\(647\) | 149.186i | 0.230582i | 0.993332 | + | 0.115291i | \(0.0367800\pi\) | ||||
−0.993332 | + | 0.115291i | \(0.963220\pi\) | |||||||
\(648\) | 479.665 | − | 390.681i | 0.740224 | − | 0.602903i | ||||
\(649\) | 466.653 | 0.719034 | ||||||||
\(650\) | 74.4814i | 0.114587i | ||||||||
\(651\) | 294.597 | − | 186.169i | 0.452530 | − | 0.285974i | ||||
\(652\) | −58.1629 | −0.0892069 | ||||||||
\(653\) | 129.263i | 0.197952i | 0.995090 | + | 0.0989762i | \(0.0315568\pi\) | ||||
−0.995090 | + | 0.0989762i | \(0.968443\pi\) | |||||||
\(654\) | 20.6478 | + | 32.6735i | 0.0315716 | + | 0.0499594i | ||||
\(655\) | 209.335 | 0.319595 | ||||||||
\(656\) | − | 98.3813i | − | 0.149972i | ||||||
\(657\) | 538.131 | − | 1132.34i | 0.819073 | − | 1.72350i | ||||
\(658\) | −78.7960 | −0.119751 | ||||||||
\(659\) | − | 518.274i | − | 0.786456i | −0.919441 | − | 0.393228i | \(-0.871358\pi\) | ||
0.919441 | − | 0.393228i | \(-0.128642\pi\) | |||||||
\(660\) | 466.569 | − | 294.845i | 0.706922 | − | 0.446735i | ||||
\(661\) | −97.6247 | −0.147692 | −0.0738462 | − | 0.997270i | \(-0.523527\pi\) | ||||
−0.0738462 | + | 0.997270i | \(0.523527\pi\) | |||||||
\(662\) | 608.882i | 0.919762i | ||||||||
\(663\) | 435.530 | + | 689.190i | 0.656908 | + | 1.03950i | ||||
\(664\) | 44.4266 | 0.0669075 | ||||||||
\(665\) | − | 1095.18i | − | 1.64688i | ||||||
\(666\) | −192.855 | − | 91.6521i | −0.289573 | − | 0.137616i | ||||
\(667\) | 95.1241 | 0.142615 | ||||||||
\(668\) | − | 833.115i | − | 1.24718i | ||||||
\(669\) | 563.959 | − | 356.391i | 0.842988 | − | 0.532721i | ||||
\(670\) | −188.312 | −0.281063 | ||||||||
\(671\) | 265.546i | 0.395746i | ||||||||
\(672\) | 488.776 | + | 773.448i | 0.727345 | + | 1.15096i | ||||
\(673\) | −864.488 | −1.28453 | −0.642264 | − | 0.766483i | \(-0.722005\pi\) | ||||
−0.642264 | + | 0.766483i | \(0.722005\pi\) | |||||||
\(674\) | 116.486i | 0.172828i | ||||||||
\(675\) | 21.0616 | + | 174.766i | 0.0312024 | + | 0.258912i | ||||
\(676\) | −185.106 | −0.273825 | ||||||||
\(677\) | − | 419.228i | − | 0.619244i | −0.950860 | − | 0.309622i | \(-0.899797\pi\) | ||
0.950860 | − | 0.309622i | \(-0.100203\pi\) | |||||||
\(678\) | 188.593 | − | 119.180i | 0.278160 | − | 0.175782i | ||||
\(679\) | 616.847 | 0.908463 | ||||||||
\(680\) | 890.179i | 1.30909i | ||||||||
\(681\) | 476.306 | + | 753.716i | 0.699421 | + | 1.10678i | ||||
\(682\) | −226.595 | −0.332251 | ||||||||
\(683\) | − | 47.3262i | − | 0.0692916i | −0.999400 | − | 0.0346458i | \(-0.988970\pi\) | ||
0.999400 | − | 0.0346458i | \(-0.0110303\pi\) | |||||||
\(684\) | 287.115 | − | 604.150i | 0.419758 | − | 0.883260i | ||||
\(685\) | 514.073 | 0.750471 | ||||||||
\(686\) | 129.658i | 0.189005i | ||||||||
\(687\) | 262.313 | − | 165.767i | 0.381823 | − | 0.241291i | ||||
\(688\) | −103.035 | −0.149760 | ||||||||
\(689\) | 251.853i | 0.365535i | ||||||||
\(690\) | −37.6591 | − | 59.5925i | −0.0545784 | − | 0.0863659i | ||||
\(691\) | −798.224 | −1.15517 | −0.577586 | − | 0.816330i | \(-0.696005\pi\) | ||||
−0.577586 | + | 0.816330i | \(0.696005\pi\) | |||||||
\(692\) | 187.064i | 0.270323i | ||||||||
\(693\) | −1192.43 | − | 566.688i | −1.72068 | − | 0.817732i | ||||
\(694\) | 395.815 | 0.570338 | ||||||||
\(695\) | − | 566.284i | − | 0.814798i | ||||||
\(696\) | 384.180 | − | 242.780i | 0.551983 | − | 0.348822i | ||||
\(697\) | −1270.88 | −1.82336 | ||||||||
\(698\) | − | 691.082i | − | 0.990089i | ||||||
\(699\) | −144.751 | − | 229.057i | −0.207083 | − | 0.327692i | ||||
\(700\) | −163.027 | −0.232896 | ||||||||
\(701\) | − | 560.432i | − | 0.799475i | −0.916630 | − | 0.399738i | \(-0.869101\pi\) | ||
0.916630 | − | 0.399738i | \(-0.130899\pi\) | |||||||
\(702\) | −306.237 | + | 36.9057i | −0.436234 | + | 0.0525722i | ||||
\(703\) | −572.795 | −0.814787 | ||||||||
\(704\) | − | 461.890i | − | 0.656094i | ||||||
\(705\) | −81.4104 | + | 51.4468i | −0.115476 | + | 0.0729742i | ||||
\(706\) | −496.214 | −0.702853 | ||||||||
\(707\) | 905.390i | 1.28061i | ||||||||
\(708\) | 127.485 | + | 201.734i | 0.180063 | + | 0.284935i | ||||
\(709\) | 620.664 | 0.875408 | 0.437704 | − | 0.899119i | \(-0.355792\pi\) | ||||
0.437704 | + | 0.899119i | \(0.355792\pi\) | |||||||
\(710\) | 71.9758i | 0.101374i | ||||||||
\(711\) | −398.929 | + | 839.431i | −0.561081 | + | 1.18063i | ||||
\(712\) | −370.260 | −0.520029 | ||||||||
\(713\) | − | 60.1746i | − | 0.0843963i | ||||||
\(714\) | 725.548 | − | 458.506i | 1.01617 | − | 0.642165i | ||||
\(715\) | −682.736 | −0.954875 | ||||||||
\(716\) | − | 293.605i | − | 0.410063i | ||||||
\(717\) | −111.542 | − | 176.505i | −0.155567 | − | 0.246172i | ||||
\(718\) | −615.454 | −0.857178 | ||||||||
\(719\) | 484.256i | 0.673513i | 0.941592 | + | 0.336756i | \(0.109330\pi\) | ||||
−0.941592 | + | 0.336756i | \(0.890670\pi\) | |||||||
\(720\) | 73.3429 | + | 34.8553i | 0.101865 | + | 0.0484101i | ||||
\(721\) | 58.6564 | 0.0813542 | ||||||||
\(722\) | 451.577i | 0.625453i | ||||||||
\(723\) | −210.480 | + | 133.012i | −0.291121 | + | 0.183972i | ||||
\(724\) | −24.3668 | −0.0336559 | ||||||||
\(725\) | 129.315i | 0.178366i | ||||||||
\(726\) | 237.569 | + | 375.934i | 0.327230 | + | 0.517815i | ||||
\(727\) | −464.377 | −0.638757 | −0.319379 | − | 0.947627i | \(-0.603474\pi\) | ||||
−0.319379 | + | 0.947627i | \(0.603474\pi\) | |||||||
\(728\) | − | 708.733i | − | 0.973534i | ||||||
\(729\) | −708.128 | + | 173.193i | −0.971369 | + | 0.237577i | ||||
\(730\) | −682.532 | −0.934976 | ||||||||
\(731\) | 1330.99i | 1.82079i | ||||||||
\(732\) | −114.795 | + | 72.5442i | −0.156824 | + | 0.0991041i | ||||
\(733\) | 571.068 | 0.779083 | 0.389541 | − | 0.921009i | \(-0.372634\pi\) | ||||
0.389541 | + | 0.921009i | \(0.372634\pi\) | |||||||
\(734\) | − | 191.448i | − | 0.260829i | ||||||
\(735\) | −252.933 | − | 400.246i | −0.344127 | − | 0.544553i | ||||
\(736\) | 157.985 | 0.214653 | ||||||||
\(737\) | 608.970i | 0.826283i | ||||||||
\(738\) | 206.387 | − | 434.282i | 0.279657 | − | 0.588458i | ||||
\(739\) | 242.062 | 0.327554 | 0.163777 | − | 0.986497i | \(-0.447632\pi\) | ||||
0.163777 | + | 0.986497i | \(0.447632\pi\) | |||||||
\(740\) | − | 241.693i | − | 0.326612i | ||||||
\(741\) | −699.477 | + | 442.030i | −0.943964 | + | 0.596532i | ||||
\(742\) | 265.140 | 0.357331 | ||||||||
\(743\) | 973.403i | 1.31010i | 0.755586 | + | 0.655049i | \(0.227352\pi\) | ||||
−0.755586 | + | 0.655049i | \(0.772648\pi\) | |||||||
\(744\) | −153.580 | − | 243.028i | −0.206425 | − | 0.326651i | ||||
\(745\) | 985.028 | 1.32219 | ||||||||
\(746\) | − | 400.147i | − | 0.536390i | ||||||
\(747\) | −47.2842 | − | 22.4712i | −0.0632988 | − | 0.0300820i | ||||
\(748\) | 1160.31 | 1.55122 | ||||||||
\(749\) | 945.164i | 1.26190i | ||||||||
\(750\) | 391.659 | − | 247.507i | 0.522213 | − | 0.330009i | ||||
\(751\) | −349.911 | −0.465926 | −0.232963 | − | 0.972486i | \(-0.574842\pi\) | ||||
−0.232963 | + | 0.972486i | \(0.574842\pi\) | |||||||
\(752\) | − | 15.6728i | − | 0.0208415i | ||||||
\(753\) | −135.833 | − | 214.945i | −0.180389 | − | 0.285451i | ||||
\(754\) | −226.595 | −0.300524 | ||||||||
\(755\) | 1154.07i | 1.52857i | ||||||||
\(756\) | −80.7803 | − | 670.301i | −0.106852 | − | 0.886642i | ||||
\(757\) | 612.339 | 0.808902 | 0.404451 | − | 0.914560i | \(-0.367463\pi\) | ||||
0.404451 | + | 0.914560i | \(0.367463\pi\) | |||||||
\(758\) | 575.115i | 0.758727i | ||||||||
\(759\) | −192.712 | + | 121.783i | −0.253903 | + | 0.160452i | ||||
\(760\) | −903.466 | −1.18877 | ||||||||
\(761\) | 771.430i | 1.01371i | 0.862032 | + | 0.506853i | \(0.169191\pi\) | ||||
−0.862032 | + | 0.506853i | \(0.830809\pi\) | |||||||
\(762\) | −210.591 | − | 333.243i | −0.276366 | − | 0.437326i | ||||
\(763\) | 104.651 | 0.137158 | ||||||||
\(764\) | 377.451i | 0.494046i | ||||||||
\(765\) | 450.258 | − | 947.438i | 0.588573 | − | 1.23848i | ||||
\(766\) | −240.908 | −0.314501 | ||||||||
\(767\) | − | 295.200i | − | 0.384876i | ||||||
\(768\) | 580.551 | − | 366.876i | 0.755926 | − | 0.477703i | ||||
\(769\) | 99.4612 | 0.129338 | 0.0646692 | − | 0.997907i | \(-0.479401\pi\) | ||||
0.0646692 | + | 0.997907i | \(0.479401\pi\) | |||||||
\(770\) | 718.753i | 0.933446i | ||||||||
\(771\) | −41.9257 | − | 66.3440i | −0.0543783 | − | 0.0860493i | ||||
\(772\) | 701.105 | 0.908167 | ||||||||
\(773\) | − | 579.305i | − | 0.749425i | −0.927141 | − | 0.374712i | \(-0.877741\pi\) | ||
0.927141 | − | 0.374712i | \(-0.122259\pi\) | |||||||
\(774\) | −454.823 | − | 216.149i | −0.587627 | − | 0.279262i | ||||
\(775\) | 81.8036 | 0.105553 | ||||||||
\(776\) | − | 508.868i | − | 0.655758i | ||||||
\(777\) | −488.735 | + | 308.853i | −0.629002 | + | 0.397494i | ||||
\(778\) | −575.013 | −0.739092 | ||||||||
\(779\) | − | 1289.85i | − | 1.65578i | ||||||
\(780\) | −186.516 | − | 295.147i | −0.239123 | − | 0.378393i | ||||
\(781\) | 232.758 | 0.298025 | ||||||||
\(782\) | − | 148.201i | − | 0.189515i | ||||||
\(783\) | −531.691 | + | 64.0760i | −0.679044 | + | 0.0818339i | ||||
\(784\) | 77.0537 | 0.0982828 | ||||||||
\(785\) | 625.279i | 0.796534i | ||||||||
\(786\) | −140.753 | + | 88.9482i | −0.179076 | + | 0.113166i | ||||
\(787\) | 581.141 | 0.738425 | 0.369213 | − | 0.929345i | \(-0.379627\pi\) | ||||
0.369213 | + | 0.929345i | \(0.379627\pi\) | |||||||
\(788\) | 917.566i | 1.16442i | ||||||||
\(789\) | 22.7364 | + | 35.9785i | 0.0288167 | + | 0.0456001i | ||||
\(790\) | 505.977 | 0.640477 | ||||||||
\(791\) | − | 604.053i | − | 0.763657i | ||||||
\(792\) | −467.490 | + | 983.698i | −0.590265 | + | 1.24204i | ||||
\(793\) | 167.981 | 0.211830 | ||||||||
\(794\) | − | 637.143i | − | 0.802448i | ||||||
\(795\) | 273.937 | − | 173.113i | 0.344575 | − | 0.217752i | ||||
\(796\) | −489.278 | −0.614671 | ||||||||
\(797\) | − | 101.951i | − | 0.127918i | −0.997953 | − | 0.0639592i | \(-0.979627\pi\) | ||
0.997953 | − | 0.0639592i | \(-0.0203728\pi\) | |||||||
\(798\) | 465.349 | + | 736.377i | 0.583144 | + | 0.922779i | ||||
\(799\) | −202.460 | −0.253392 | ||||||||
\(800\) | 214.771i | 0.268463i | ||||||||
\(801\) | 394.077 | + | 187.280i | 0.491981 | + | 0.233808i | ||||
\(802\) | 87.8445 | 0.109532 | ||||||||
\(803\) | 2207.20i | 2.74869i | ||||||||
\(804\) | −263.258 | + | 166.364i | −0.327435 | + | 0.206921i | ||||
\(805\) | −190.872 | −0.237108 | ||||||||
\(806\) | 143.342i | 0.177844i | ||||||||
\(807\) | 180.620 | + | 285.817i | 0.223817 | + | 0.354172i | ||||
\(808\) | 746.902 | 0.924384 | ||||||||
\(809\) | − | 1321.86i | − | 1.63394i | −0.576680 | − | 0.816970i | \(-0.695652\pi\) | ||
0.576680 | − | 0.816970i | \(-0.304348\pi\) | |||||||
\(810\) | 250.635 | + | 307.722i | 0.309426 | + | 0.379903i | ||||
\(811\) | −1112.26 | −1.37146 | −0.685732 | − | 0.727854i | \(-0.740518\pi\) | ||||
−0.685732 | + | 0.727854i | \(0.740518\pi\) | |||||||
\(812\) | − | 495.980i | − | 0.610812i | ||||||
\(813\) | 719.874 | − | 454.920i | 0.885454 | − | 0.559557i | ||||
\(814\) | 375.920 | 0.461819 | ||||||||
\(815\) | − | 92.5735i | − | 0.113587i | ||||||
\(816\) | 91.1983 | + | 144.314i | 0.111763 | + | 0.176855i | ||||
\(817\) | −1350.86 | −1.65344 | ||||||||
\(818\) | 127.630i | 0.156027i | ||||||||
\(819\) | −358.481 | + | 754.320i | −0.437706 | + | 0.921026i | ||||
\(820\) | 544.257 | 0.663728 | ||||||||
\(821\) | 399.025i | 0.486023i | 0.970023 | + | 0.243012i | \(0.0781354\pi\) | ||||
−0.970023 | + | 0.243012i | \(0.921865\pi\) | |||||||
\(822\) | −345.654 | + | 218.434i | −0.420503 | + | 0.265735i | ||||
\(823\) | −826.500 | −1.00425 | −0.502126 | − | 0.864794i | \(-0.667449\pi\) | ||||
−0.502126 | + | 0.864794i | \(0.667449\pi\) | |||||||
\(824\) | − | 48.3887i | − | 0.0587241i | ||||||
\(825\) | −165.557 | − | 261.980i | −0.200675 | − | 0.317552i | ||||
\(826\) | −310.773 | −0.376239 | ||||||||
\(827\) | − | 1151.23i | − | 1.39205i | −0.718016 | − | 0.696027i | \(-0.754949\pi\) | ||
0.718016 | − | 0.696027i | \(-0.245051\pi\) | |||||||
\(828\) | −105.294 | − | 50.0395i | −0.127166 | − | 0.0604342i | ||||
\(829\) | 125.694 | 0.151622 | 0.0758108 | − | 0.997122i | \(-0.475845\pi\) | ||||
0.0758108 | + | 0.997122i | \(0.475845\pi\) | |||||||
\(830\) | 28.5011i | 0.0343387i | ||||||||
\(831\) | −232.732 | + | 147.073i | −0.280062 | + | 0.176984i | ||||
\(832\) | −292.187 | −0.351186 | ||||||||
\(833\) | − | 995.374i | − | 1.19493i | ||||||
\(834\) | 240.619 | + | 380.760i | 0.288512 | + | 0.456547i | ||||
\(835\) | 1326.00 | 1.58803 | ||||||||
\(836\) | 1177.63i | 1.40865i | ||||||||
\(837\) | 40.5338 | + | 336.343i | 0.0484275 | + | 0.401843i | ||||
\(838\) | −713.847 | −0.851846 | ||||||||
\(839\) | − | 542.277i | − | 0.646337i | −0.946341 | − | 0.323169i | \(-0.895252\pi\) | ||
0.946341 | − | 0.323169i | \(-0.104748\pi\) | |||||||
\(840\) | −770.878 | + | 487.151i | −0.917711 | + | 0.579942i | ||||
\(841\) | 447.583 | 0.532203 | ||||||||
\(842\) | − | 873.966i | − | 1.03796i | ||||||
\(843\) | 652.821 | + | 1033.04i | 0.774402 | + | 1.22543i | ||||
\(844\) | −389.594 | −0.461605 | ||||||||
\(845\) | − | 294.619i | − | 0.348661i | ||||||
\(846\) | 32.8788 | − | 69.1840i | 0.0388638 | − | 0.0817777i | ||||
\(847\) | 1204.10 | 1.42160 | ||||||||
\(848\) | 52.7372i | 0.0621901i | ||||||||
\(849\) | 142.186 | − | 89.8539i | 0.167475 | − | 0.105835i | ||||
\(850\) | 201.470 | 0.237023 | ||||||||
\(851\) | 99.8292i | 0.117308i | ||||||||
\(852\) | 63.5869 | + | 100.621i | 0.0746325 | + | 0.118100i | ||||
\(853\) | −401.694 | −0.470920 | −0.235460 | − | 0.971884i | \(-0.575660\pi\) | ||||
−0.235460 | + | 0.971884i | \(0.575660\pi\) | |||||||
\(854\) | − | 176.843i | − | 0.207076i | ||||||
\(855\) | 961.579 | + | 456.978i | 1.12465 | + | 0.534478i | ||||
\(856\) | 779.714 | 0.910880 | ||||||||
\(857\) | 1094.12i | 1.27668i | 0.769753 | + | 0.638342i | \(0.220380\pi\) | ||||
−0.769753 | + | 0.638342i | \(0.779620\pi\) | |||||||
\(858\) | 459.060 | − | 290.100i | 0.535035 | − | 0.338112i | ||||
\(859\) | 337.853 | 0.393309 | 0.196655 | − | 0.980473i | \(-0.436992\pi\) | ||||
0.196655 | + | 0.980473i | \(0.436992\pi\) | |||||||
\(860\) | − | 570.000i | − | 0.662790i | ||||||
\(861\) | −695.492 | − | 1100.56i | −0.807772 | − | 1.27823i | ||||
\(862\) | 110.420 | 0.128098 | ||||||||
\(863\) | − | 39.7209i | − | 0.0460265i | −0.999735 | − | 0.0230133i | \(-0.992674\pi\) | ||
0.999735 | − | 0.0230133i | \(-0.00732600\pi\) | |||||||
\(864\) | −883.048 | + | 106.419i | −1.02205 | + | 0.123170i | ||||
\(865\) | −297.735 | −0.344202 | ||||||||
\(866\) | 268.241i | 0.309747i | ||||||||
\(867\) | 1131.32 | − | 714.930i | 1.30487 | − | 0.824602i | ||||
\(868\) | −313.752 | −0.361465 | ||||||||
\(869\) | − | 1636.25i | − | 1.88291i | ||||||
\(870\) | 155.752 | + | 246.464i | 0.179025 | + | 0.283292i | ||||
\(871\) | 385.228 | 0.442283 | ||||||||
\(872\) | − | 86.3323i | − | 0.0990050i | ||||||
\(873\) | −257.389 | + | 541.600i | −0.294832 | + | 0.620390i | ||||
\(874\) | 150.413 | 0.172097 | ||||||||
\(875\) | − | 1254.47i | − | 1.43367i | ||||||
\(876\) | −954.170 | + | 602.982i | −1.08924 | + | 0.688336i | ||||
\(877\) | 1045.03 | 1.19159 | 0.595796 | − | 0.803136i | \(-0.296837\pi\) | ||||
0.595796 | + | 0.803136i | \(0.296837\pi\) | |||||||
\(878\) | 629.439i | 0.716901i | ||||||||
\(879\) | −558.898 | − | 884.411i | −0.635834 | − | 1.00616i | ||||
\(880\) | −142.962 | −0.162457 | ||||||||
\(881\) | − | 1383.04i | − | 1.56986i | −0.619587 | − | 0.784928i | \(-0.712700\pi\) | ||
0.619587 | − | 0.784928i | \(-0.287300\pi\) | |||||||
\(882\) | 340.136 | + | 161.645i | 0.385642 | + | 0.183272i | ||||
\(883\) | −813.052 | −0.920784 | −0.460392 | − | 0.887716i | \(-0.652291\pi\) | ||||
−0.460392 | + | 0.887716i | \(0.652291\pi\) | |||||||
\(884\) | − | 734.001i | − | 0.830318i | ||||||
\(885\) | −321.085 | + | 202.908i | −0.362808 | + | 0.229274i | ||||
\(886\) | 648.380 | 0.731806 | ||||||||
\(887\) | − | 908.330i | − | 1.02405i | −0.858971 | − | 0.512024i | \(-0.828896\pi\) | ||
0.858971 | − | 0.512024i | \(-0.171104\pi\) | |||||||
\(888\) | 254.789 | + | 403.182i | 0.286924 | + | 0.454034i | ||||
\(889\) | −1067.36 | −1.20063 | ||||||||
\(890\) | − | 237.535i | − | 0.266893i | ||||||
\(891\) | 995.121 | − | 810.513i | 1.11686 | − | 0.909666i | ||||
\(892\) | −600.627 | −0.673349 | ||||||||
\(893\) | − | 205.482i | − | 0.230103i | ||||||
\(894\) | −662.317 | + | 418.547i | −0.740846 | + | 0.468173i | ||||
\(895\) | 467.309 | 0.522133 | ||||||||
\(896\) | − | 912.325i | − | 1.01822i | ||||||
\(897\) | 77.0389 | + | 121.908i | 0.0858850 | + | 0.135906i | ||||
\(898\) | 94.7564 | 0.105519 | ||||||||
\(899\) | 248.872i | 0.276832i | ||||||||
\(900\) | 68.0256 | − | 143.140i | 0.0755840 | − | 0.159045i | ||||
\(901\) | 681.255 | 0.756110 | ||||||||
\(902\) | 846.518i | 0.938490i | ||||||||
\(903\) | −1152.61 | + | 728.388i | −1.27643 | + | 0.806631i | ||||
\(904\) | −498.314 | −0.551232 | ||||||||
\(905\) | − | 38.7828i | − | 0.0428540i | ||||||
\(906\) | −490.374 | − | 775.977i | −0.541252 | − | 0.856487i | ||||
\(907\) | 430.841 | 0.475018 | 0.237509 | − | 0.971385i | \(-0.423669\pi\) | ||||
0.237509 | + | 0.971385i | \(0.423669\pi\) | |||||||
\(908\) | − | 802.721i | − | 0.884054i | ||||||
\(909\) | −794.945 | − | 377.788i | −0.874527 | − | 0.415608i | ||||
\(910\) | 454.676 | 0.499644 | ||||||||
\(911\) | − | 137.295i | − | 0.150708i | −0.997157 | − | 0.0753542i | \(-0.975991\pi\) | ||
0.997157 | − | 0.0753542i | \(-0.0240088\pi\) | |||||||
\(912\) | −146.468 | + | 92.5595i | −0.160601 | + | 0.101491i | ||||
\(913\) | 92.1680 | 0.100951 | ||||||||
\(914\) | 253.558i | 0.277416i | ||||||||
\(915\) | −115.463 | − | 182.711i | −0.126189 | − | 0.199684i | ||||
\(916\) | −279.368 | −0.304987 | ||||||||
\(917\) | 450.826i | 0.491631i | ||||||||
\(918\) | 99.8286 | + | 828.360i | 0.108746 | + | 0.902353i | ||||
\(919\) | −663.064 | −0.721506 | −0.360753 | − | 0.932661i | \(-0.617480\pi\) | ||||
−0.360753 | + | 0.932661i | \(0.617480\pi\) | |||||||
\(920\) | 157.460i | 0.171152i | ||||||||
\(921\) | 1022.75 | − | 646.323i | 1.11048 | − | 0.701763i | ||||
\(922\) | −402.313 | −0.436348 | ||||||||
\(923\) | − | 147.240i | − | 0.159523i | ||||||
\(924\) | 634.981 | + | 1004.81i | 0.687209 | + | 1.08745i | ||||
\(925\) | −135.712 | −0.146715 | ||||||||
\(926\) | − | 806.910i | − | 0.871394i | ||||||
\(927\) | −24.4753 | + | 51.5012i | −0.0264027 | + | 0.0555568i | ||||
\(928\) | −653.399 | −0.704093 | ||||||||
\(929\) | − | 907.464i | − | 0.976818i | −0.872615 | − | 0.488409i | \(-0.837577\pi\) | ||
0.872615 | − | 0.488409i | \(-0.162423\pi\) | |||||||
\(930\) | 155.911 | − | 98.5270i | 0.167646 | − | 0.105943i | ||||
\(931\) | 1010.23 | 1.08510 | ||||||||
\(932\) | 243.950i | 0.261749i | ||||||||
\(933\) | 511.374 | + | 809.208i | 0.548096 | + | 0.867318i | ||||
\(934\) | 856.083 | 0.916577 | ||||||||
\(935\) | 1846.78i | 1.97516i | ||||||||
\(936\) | 622.277 | + | 295.729i | 0.664826 | + | 0.315950i | ||||
\(937\) | −224.080 | −0.239146 | −0.119573 | − | 0.992825i | \(-0.538153\pi\) | ||||
−0.119573 | + | 0.992825i | \(0.538153\pi\) | |||||||
\(938\) | − | 405.551i | − | 0.432357i | ||||||
\(939\) | 673.147 | − | 425.391i | 0.716877 | − | 0.453026i | ||||
\(940\) | 86.7036 | 0.0922379 | ||||||||
\(941\) | 234.587i | 0.249296i | 0.992201 | + | 0.124648i | \(0.0397801\pi\) | ||||
−0.992201 | + | 0.124648i | \(0.960220\pi\) | |||||||
\(942\) | −265.687 | − | 420.427i | −0.282045 | − | 0.446314i | ||||
\(943\) | −224.801 | −0.238389 | ||||||||
\(944\) | − | 61.8138i | − | 0.0654807i | ||||||
\(945\) | 1066.87 | − | 128.572i | 1.12896 | − | 0.136055i | ||||
\(946\) | 886.557 | 0.937164 | ||||||||
\(947\) | 229.675i | 0.242529i | 0.992620 | + | 0.121265i | \(0.0386950\pi\) | ||||
−0.992620 | + | 0.121265i | \(0.961305\pi\) | |||||||
\(948\) | 707.349 | − | 447.005i | 0.746148 | − | 0.471524i | ||||
\(949\) | 1396.25 | 1.47129 | ||||||||
\(950\) | 204.477i | 0.215239i | ||||||||
\(951\) | −896.231 | − | 1418.21i | −0.942409 | − | 1.49129i | ||||
\(952\) | −1917.10 | −2.01376 | ||||||||
\(953\) | − | 816.441i | − | 0.856706i | −0.903611 | − | 0.428353i | \(-0.859094\pi\) | ||
0.903611 | − | 0.428353i | \(-0.140906\pi\) | |||||||
\(954\) | −110.634 | + | 232.797i | −0.115968 | + | 0.244021i | ||||
\(955\) | −600.760 | −0.629069 | ||||||||
\(956\) | 187.982i | 0.196633i | ||||||||
\(957\) | 797.025 | − | 503.675i | 0.832837 | − | 0.526306i | ||||
\(958\) | 188.468 | 0.196731 | ||||||||
\(959\) | 1107.11i | 1.15444i | ||||||||
\(960\) | 200.837 | + | 317.808i | 0.209205 | + | 0.331049i | ||||
\(961\) | −803.566 | −0.836177 | ||||||||
\(962\) | − | 237.803i | − | 0.247197i | ||||||
\(963\) | −829.867 | − | 394.384i | −0.861752 | − | 0.409537i | ||||
\(964\) | 224.166 | 0.232537 | ||||||||
\(965\) | 1115.89i | 1.15637i | ||||||||
\(966\) | 128.339 | − | 81.1030i | 0.132856 | − | 0.0839575i | ||||
\(967\) | −576.100 | −0.595760 | −0.297880 | − | 0.954603i | \(-0.596279\pi\) | ||||
−0.297880 | + | 0.954603i | \(0.596279\pi\) | |||||||
\(968\) | − | 993.321i | − | 1.02616i | ||||||
\(969\) | 1195.68 | + | 1892.06i | 1.23393 | + | 1.95259i | ||||
\(970\) | 326.456 | 0.336553 | ||||||||
\(971\) | − | 422.300i | − | 0.434912i | −0.976070 | − | 0.217456i | \(-0.930224\pi\) | ||
0.976070 | − | 0.217456i | \(-0.0697759\pi\) | |||||||
\(972\) | 622.241 | + | 208.767i | 0.640165 | + | 0.214781i | ||||
\(973\) | 1219.56 | 1.25340 | ||||||||
\(974\) | 215.027i | 0.220767i | ||||||||
\(975\) | −165.726 | + | 104.730i | −0.169975 | + | 0.107415i | ||||
\(976\) | 35.1747 | 0.0360396 | ||||||||
\(977\) | 1019.17i | 1.04317i | 0.853200 | + | 0.521583i | \(0.174658\pi\) | ||||
−0.853200 | + | 0.521583i | \(0.825342\pi\) | |||||||
\(978\) | 39.3353 | + | 62.2448i | 0.0402201 | + | 0.0636450i | ||||
\(979\) | −768.147 | −0.784624 | ||||||||
\(980\) | 426.270i | 0.434969i | ||||||||
\(981\) | −43.6674 | + | 91.8855i | −0.0445132 | + | 0.0936651i | ||||
\(982\) | 259.857 | 0.264620 | ||||||||
\(983\) | − | 340.527i | − | 0.346416i | −0.984885 | − | 0.173208i | \(-0.944587\pi\) | ||
0.984885 | − | 0.173208i | \(-0.0554133\pi\) | |||||||
\(984\) | −907.908 | + | 573.747i | −0.922670 | + | 0.583076i | ||||
\(985\) | −1460.42 | −1.48266 | ||||||||
\(986\) | 612.933i | 0.621636i | ||||||||
\(987\) | −110.796 | − | 175.326i | −0.112256 | − | 0.177635i | ||||
\(988\) | 744.956 | 0.754004 | ||||||||
\(989\) | 235.433i | 0.238052i | ||||||||
\(990\) | −631.075 | − | 299.911i | −0.637450 | − | 0.302940i | ||||
\(991\) | 724.950 | 0.731534 | 0.365767 | − | 0.930706i | \(-0.380807\pi\) | ||||
0.365767 | + | 0.930706i | \(0.380807\pi\) | |||||||
\(992\) | 413.333i | 0.416667i | ||||||||
\(993\) | −1354.80 | + | 856.160i | −1.36435 | + | 0.862195i | ||||
\(994\) | −155.008 | −0.155943 | ||||||||
\(995\) | − | 778.746i | − | 0.782660i | ||||||
\(996\) | 25.1793 | + | 39.8442i | 0.0252804 | + | 0.0400042i | ||||
\(997\) | −977.931 | −0.980874 | −0.490437 | − | 0.871477i | \(-0.663163\pi\) | ||||
−0.490437 | + | 0.871477i | \(0.663163\pi\) | |||||||
\(998\) | − | 449.601i | − | 0.450502i | ||||||
\(999\) | −67.2453 | − | 557.990i | −0.0673126 | − | 0.558548i |
(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 | 69.3.b.a.47.9 | yes | 14 | |
3.2 | odd | 2 | inner | 69.3.b.a.47.6 | ✓ | 14 | |
4.3 | odd | 2 | 1104.3.g.b.737.13 | 14 | |||
12.11 | even | 2 | 1104.3.g.b.737.14 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.3.b.a.47.6 | ✓ | 14 | 3.2 | odd | 2 | inner | |
69.3.b.a.47.9 | yes | 14 | 1.1 | even | 1 | trivial | |
1104.3.g.b.737.13 | 14 | 4.3 | odd | 2 | |||
1104.3.g.b.737.14 | 14 | 12.11 | even | 2 |