Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(176,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, 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("177.176");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.d (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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.19298288.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 3x^{4} - 2x^{3} + 9x^{2} - 9x + 27 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 176.5 | ||
Root | \(0.321037 + 1.70204i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 177.176 |
Dual form | 177.2.d.c.176.6 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.47283 | 1.74856 | 0.874279 | − | 0.485424i | \(-0.161335\pi\) | ||||
0.874279 | + | 0.485424i | \(0.161335\pi\) | |||||||
\(3\) | −0.321037 | − | 1.70204i | −0.185351 | − | 0.982672i | ||||
\(4\) | 4.11491 | 2.05745 | ||||||||
\(5\) | 2.50682i | 1.12108i | 0.828126 | + | 0.560542i | \(0.189407\pi\) | ||||
−0.828126 | + | 0.560542i | \(0.810593\pi\) | |||||||
\(6\) | −0.793871 | − | 4.20886i | −0.324096 | − | 1.71826i | ||||
\(7\) | −2.11491 | −0.799360 | −0.399680 | − | 0.916655i | \(-0.630879\pi\) | ||||
−0.399680 | + | 0.916655i | \(0.630879\pi\) | |||||||
\(8\) | 5.22982 | 1.84902 | ||||||||
\(9\) | −2.79387 | + | 1.09283i | −0.931290 | + | 0.364278i | ||||
\(10\) | 6.19895i | 1.96028i | ||||||||
\(11\) | −3.64207 | −1.09813 | −0.549063 | − | 0.835781i | \(-0.685015\pi\) | ||||
−0.549063 | + | 0.835781i | \(0.685015\pi\) | |||||||
\(12\) | −1.32104 | − | 7.00373i | −0.381350 | − | 2.02180i | ||||
\(13\) | − | 4.69249i | − | 1.30146i | −0.759308 | − | 0.650731i | \(-0.774463\pi\) | ||
0.759308 | − | 0.650731i | \(-0.225537\pi\) | |||||||
\(14\) | −5.22982 | −1.39773 | ||||||||
\(15\) | 4.26670 | − | 0.804782i | 1.10166 | − | 0.207794i | ||||
\(16\) | 4.70265 | 1.17566 | ||||||||
\(17\) | 2.79487i | 0.677856i | 0.940812 | + | 0.338928i | \(0.110064\pi\) | ||||
−0.940812 | + | 0.338928i | \(0.889936\pi\) | |||||||
\(18\) | −6.90878 | + | 2.70240i | −1.62841 | + | 0.636961i | ||||
\(19\) | 6.70265 | 1.53769 | 0.768847 | − | 0.639433i | \(-0.220831\pi\) | ||||
0.768847 | + | 0.639433i | \(0.220831\pi\) | |||||||
\(20\) | 10.3153i | 2.30658i | ||||||||
\(21\) | 0.678963 | + | 3.59965i | 0.148162 | + | 0.785509i | ||||
\(22\) | −9.00624 | −1.92014 | ||||||||
\(23\) | −0.885092 | −0.184555 | −0.0922773 | − | 0.995733i | \(-0.529415\pi\) | ||||
−0.0922773 | + | 0.995733i | \(0.529415\pi\) | |||||||
\(24\) | −1.67896 | − | 8.90135i | −0.342717 | − | 1.81698i | ||||
\(25\) | −1.28415 | −0.256829 | ||||||||
\(26\) | − | 11.6037i | − | 2.27568i | ||||||
\(27\) | 2.75698 | + | 4.40444i | 0.530581 | + | 0.847634i | ||||
\(28\) | −8.70265 | −1.64465 | ||||||||
\(29\) | 1.50646i | 0.279743i | 0.990170 | + | 0.139871i | \(0.0446689\pi\) | ||||
−0.990170 | + | 0.139871i | \(0.955331\pi\) | |||||||
\(30\) | 10.5509 | − | 1.99009i | 1.92631 | − | 0.363339i | ||||
\(31\) | − | 6.91126i | − | 1.24130i | −0.784088 | − | 0.620649i | \(-0.786869\pi\) | ||
0.784088 | − | 0.620649i | \(-0.213131\pi\) | |||||||
\(32\) | 1.16924 | 0.206694 | ||||||||
\(33\) | 1.16924 | + | 6.19895i | 0.203539 | + | 1.07910i | ||||
\(34\) | 6.91126i | 1.18527i | ||||||||
\(35\) | − | 5.30169i | − | 0.896150i | ||||||
\(36\) | −11.4965 | + | 4.49691i | −1.91609 | + | 0.749485i | ||||
\(37\) | 11.6037i | 1.90764i | 0.300373 | + | 0.953822i | \(0.402889\pi\) | ||||
−0.300373 | + | 0.953822i | \(0.597111\pi\) | |||||||
\(38\) | 16.5745 | 2.68875 | ||||||||
\(39\) | −7.98680 | + | 1.50646i | −1.27891 | + | 0.241227i | ||||
\(40\) | 13.1102i | 2.07291i | ||||||||
\(41\) | − | 0.288053i | − | 0.0449862i | −0.999747 | − | 0.0224931i | \(-0.992840\pi\) | ||
0.999747 | − | 0.0224931i | \(-0.00716039\pi\) | |||||||
\(42\) | 1.67896 | + | 8.90135i | 0.259070 | + | 1.37351i | ||||
\(43\) | − | 7.70541i | − | 1.17506i | −0.809201 | − | 0.587532i | \(-0.800100\pi\) | ||
0.809201 | − | 0.587532i | \(-0.199900\pi\) | |||||||
\(44\) | −14.9868 | −2.25934 | ||||||||
\(45\) | −2.73954 | − | 7.00373i | −0.408386 | − | 1.04405i | ||||
\(46\) | −2.18869 | −0.322704 | ||||||||
\(47\) | 9.47283 | 1.38175 | 0.690877 | − | 0.722972i | \(-0.257224\pi\) | ||||
0.690877 | + | 0.722972i | \(0.257224\pi\) | |||||||
\(48\) | −1.50972 | − | 8.00409i | −0.217910 | − | 1.15529i | ||||
\(49\) | −2.52717 | −0.361024 | ||||||||
\(50\) | −3.17548 | −0.449081 | ||||||||
\(51\) | 4.75698 | − | 0.897257i | 0.666111 | − | 0.125641i | ||||
\(52\) | − | 19.3092i | − | 2.67770i | ||||||
\(53\) | 9.31497i | 1.27951i | 0.768579 | + | 0.639755i | \(0.220964\pi\) | ||||
−0.768579 | + | 0.639755i | \(0.779036\pi\) | |||||||
\(54\) | 6.81756 | + | 10.8914i | 0.927752 | + | 1.48214i | ||||
\(55\) | − | 9.13002i | − | 1.23109i | ||||||
\(56\) | −11.0606 | −1.47803 | ||||||||
\(57\) | −2.15180 | − | 11.4082i | −0.285012 | − | 1.51105i | ||||
\(58\) | 3.72523i | 0.489147i | ||||||||
\(59\) | 4.06058 | − | 6.52010i | 0.528642 | − | 0.848845i | ||||
\(60\) | 17.5571 | − | 3.31160i | 2.26661 | − | 0.427526i | ||||
\(61\) | − | 9.92418i | − | 1.27066i | −0.772240 | − | 0.635330i | \(-0.780864\pi\) | ||
0.772240 | − | 0.635330i | \(-0.219136\pi\) | |||||||
\(62\) | − | 17.0904i | − | 2.17048i | ||||||
\(63\) | 5.90878 | − | 2.31124i | 0.744436 | − | 0.291189i | ||||
\(64\) | −6.51396 | −0.814245 | ||||||||
\(65\) | 11.7632 | 1.45905 | ||||||||
\(66\) | 2.89134 | + | 15.3290i | 0.355899 | + | 1.88687i | ||||
\(67\) | 4.69249i | 0.573279i | 0.958039 | + | 0.286639i | \(0.0925381\pi\) | ||||
−0.958039 | + | 0.286639i | \(0.907462\pi\) | |||||||
\(68\) | 11.5006i | 1.39466i | ||||||||
\(69\) | 0.284147 | + | 1.50646i | 0.0342073 | + | 0.181357i | ||||
\(70\) | − | 13.1102i | − | 1.56697i | ||||||
\(71\) | − | 2.69177i | − | 0.319454i | −0.987161 | − | 0.159727i | \(-0.948939\pi\) | ||
0.987161 | − | 0.159727i | \(-0.0510615\pi\) | |||||||
\(72\) | −14.6114 | + | 5.71532i | −1.72197 | + | 0.673557i | ||||
\(73\) | − | 2.47372i | − | 0.289527i | −0.989466 | − | 0.144764i | \(-0.953758\pi\) | ||
0.989466 | − | 0.144764i | \(-0.0462422\pi\) | |||||||
\(74\) | 28.6941i | 3.33563i | ||||||||
\(75\) | 0.412259 | + | 2.18567i | 0.0476035 | + | 0.252379i | ||||
\(76\) | 27.5808 | 3.16373 | ||||||||
\(77\) | 7.70265 | 0.877798 | ||||||||
\(78\) | −19.7500 | + | 3.72523i | −2.23625 | + | 0.421799i | ||||
\(79\) | −3.56829 | −0.401465 | −0.200732 | − | 0.979646i | \(-0.564332\pi\) | ||||
−0.200732 | + | 0.979646i | \(0.564332\pi\) | |||||||
\(80\) | 11.7887i | 1.31802i | ||||||||
\(81\) | 6.61143 | − | 6.10647i | 0.734603 | − | 0.678497i | ||||
\(82\) | − | 0.712306i | − | 0.0786610i | ||||||
\(83\) | −14.9868 | −1.64501 | −0.822507 | − | 0.568755i | \(-0.807425\pi\) | ||||
−0.822507 | + | 0.568755i | \(0.807425\pi\) | |||||||
\(84\) | 2.79387 | + | 14.8122i | 0.304836 | + | 1.61615i | ||||
\(85\) | −7.00624 | −0.759934 | ||||||||
\(86\) | − | 19.0542i | − | 2.05467i | ||||||
\(87\) | 2.56406 | − | 0.483630i | 0.274896 | − | 0.0518505i | ||||
\(88\) | −19.0474 | −2.03046 | ||||||||
\(89\) | −5.93246 | −0.628840 | −0.314420 | − | 0.949284i | \(-0.601810\pi\) | ||||
−0.314420 | + | 0.949284i | \(0.601810\pi\) | |||||||
\(90\) | −6.77442 | − | 17.3191i | −0.714087 | − | 1.82559i | ||||
\(91\) | 9.92418i | 1.04034i | ||||||||
\(92\) | −3.64207 | −0.379712 | ||||||||
\(93\) | −11.7632 | + | 2.21877i | −1.21979 | + | 0.230075i | ||||
\(94\) | 23.4247 | 2.41608 | ||||||||
\(95\) | 16.8023i | 1.72388i | ||||||||
\(96\) | −0.375369 | − | 1.99009i | −0.0383109 | − | 0.203113i | ||||
\(97\) | 1.67957i | 0.170534i | 0.996358 | + | 0.0852670i | \(0.0271743\pi\) | ||||
−0.996358 | + | 0.0852670i | \(0.972826\pi\) | |||||||
\(98\) | −6.24926 | −0.631271 | ||||||||
\(99\) | 10.1755 | − | 3.98018i | 1.02267 | − | 0.400023i | ||||
\(100\) | −5.28415 | −0.528415 | ||||||||
\(101\) | 5.51396 | 0.548660 | 0.274330 | − | 0.961636i | \(-0.411544\pi\) | ||||
0.274330 | + | 0.961636i | \(0.411544\pi\) | |||||||
\(102\) | 11.7632 | − | 2.21877i | 1.16473 | − | 0.219691i | ||||
\(103\) | 12.3979i | 1.22160i | 0.791784 | + | 0.610801i | \(0.209152\pi\) | ||||
−0.791784 | + | 0.610801i | \(0.790848\pi\) | |||||||
\(104\) | − | 24.5408i | − | 2.40643i | ||||||
\(105\) | −9.02369 | + | 1.70204i | −0.880622 | + | 0.166102i | ||||
\(106\) | 23.0344i | 2.23730i | ||||||||
\(107\) | − | 4.98054i | − | 0.481487i | −0.970589 | − | 0.240744i | \(-0.922609\pi\) | ||
0.970589 | − | 0.240744i | \(-0.0773913\pi\) | |||||||
\(108\) | 11.3447 | + | 18.1238i | 1.09165 | + | 1.74397i | ||||
\(109\) | 5.23169i | 0.501105i | 0.968103 | + | 0.250553i | \(0.0806123\pi\) | ||||
−0.968103 | + | 0.250553i | \(0.919388\pi\) | |||||||
\(110\) | − | 22.5770i | − | 2.15264i | ||||||
\(111\) | 19.7500 | − | 3.72523i | 1.87459 | − | 0.353583i | ||||
\(112\) | −9.94567 | −0.939777 | ||||||||
\(113\) | −6.81756 | −0.641342 | −0.320671 | − | 0.947191i | \(-0.603908\pi\) | ||||
−0.320671 | + | 0.947191i | \(0.603908\pi\) | |||||||
\(114\) | −5.32104 | − | 28.2105i | −0.498361 | − | 2.64216i | ||||
\(115\) | − | 2.21877i | − | 0.206901i | ||||||
\(116\) | 6.19895i | 0.575558i | ||||||||
\(117\) | 5.12811 | + | 13.1102i | 0.474094 | + | 1.21204i | ||||
\(118\) | 10.0411 | − | 16.1231i | 0.924361 | − | 1.48425i | ||||
\(119\) | − | 5.91090i | − | 0.541851i | ||||||
\(120\) | 22.3141 | − | 4.20886i | 2.03699 | − | 0.384214i | ||||
\(121\) | 2.26470 | 0.205882 | ||||||||
\(122\) | − | 24.5408i | − | 2.22182i | ||||||
\(123\) | −0.490277 | + | 0.0924755i | −0.0442067 | + | 0.00833823i | ||||
\(124\) | − | 28.4392i | − | 2.55391i | ||||||
\(125\) | 9.31497i | 0.833157i | ||||||||
\(126\) | 14.6114 | − | 5.71532i | 1.30169 | − | 0.509161i | ||||
\(127\) | 16.1755 | 1.43534 | 0.717671 | − | 0.696382i | \(-0.245208\pi\) | ||||
0.717671 | + | 0.696382i | \(0.245208\pi\) | |||||||
\(128\) | −18.4464 | −1.63045 | ||||||||
\(129\) | −13.1149 | + | 2.47372i | −1.15470 | + | 0.217799i | ||||
\(130\) | 29.0885 | 2.55123 | ||||||||
\(131\) | −1.40530 | −0.122781 | −0.0613907 | − | 0.998114i | \(-0.519554\pi\) | ||||
−0.0613907 | + | 0.998114i | \(0.519554\pi\) | |||||||
\(132\) | 4.81131 | + | 25.5081i | 0.418771 | + | 2.22020i | ||||
\(133\) | −14.1755 | −1.22917 | ||||||||
\(134\) | 11.6037i | 1.00241i | ||||||||
\(135\) | −11.0411 | + | 6.91126i | −0.950269 | + | 0.594826i | ||||
\(136\) | 14.6167i | 1.25337i | ||||||||
\(137\) | − | 15.6870i | − | 1.34023i | −0.742256 | − | 0.670117i | \(-0.766244\pi\) | ||
0.742256 | − | 0.670117i | \(-0.233756\pi\) | |||||||
\(138\) | 0.702649 | + | 3.72523i | 0.0598135 | + | 0.317113i | ||||
\(139\) | −11.1560 | −0.946243 | −0.473121 | − | 0.880997i | \(-0.656873\pi\) | ||||
−0.473121 | + | 0.880997i | \(0.656873\pi\) | |||||||
\(140\) | − | 21.8160i | − | 1.84379i | ||||||
\(141\) | −3.04113 | − | 16.1231i | −0.256109 | − | 1.35781i | ||||
\(142\) | − | 6.65630i | − | 0.558585i | ||||||
\(143\) | 17.0904i | 1.42917i | ||||||||
\(144\) | −13.1386 | + | 5.13922i | −1.09488 | + | 0.428268i | ||||
\(145\) | −3.77643 | −0.313615 | ||||||||
\(146\) | − | 6.11710i | − | 0.506255i | ||||||
\(147\) | 0.811313 | + | 4.30133i | 0.0669160 | + | 0.354768i | ||||
\(148\) | 47.7483i | 3.92489i | ||||||||
\(149\) | 10.1428 | 0.830933 | 0.415467 | − | 0.909608i | \(-0.363618\pi\) | ||||
0.415467 | + | 0.909608i | \(0.363618\pi\) | |||||||
\(150\) | 1.01945 | + | 5.40479i | 0.0832375 | + | 0.441300i | ||||
\(151\) | − | 2.47372i | − | 0.201309i | −0.994921 | − | 0.100654i | \(-0.967906\pi\) | ||
0.994921 | − | 0.100654i | \(-0.0320936\pi\) | |||||||
\(152\) | 35.0536 | 2.84322 | ||||||||
\(153\) | −3.05433 | − | 7.80851i | −0.246928 | − | 0.631281i | ||||
\(154\) | 19.0474 | 1.53488 | ||||||||
\(155\) | 17.3253 | 1.39160 | ||||||||
\(156\) | −32.8649 | + | 6.19895i | −2.63130 | + | 0.496313i | ||||
\(157\) | 12.1429i | 0.969113i | 0.874760 | + | 0.484556i | \(0.161019\pi\) | ||||
−0.874760 | + | 0.484556i | \(0.838981\pi\) | |||||||
\(158\) | −8.82380 | −0.701984 | ||||||||
\(159\) | 15.8544 | − | 2.99045i | 1.25734 | − | 0.237158i | ||||
\(160\) | 2.93107i | 0.231722i | ||||||||
\(161\) | 1.87189 | 0.147525 | ||||||||
\(162\) | 16.3490 | − | 15.1003i | 1.28450 | − | 1.18639i | ||||
\(163\) | −4.90454 | −0.384153 | −0.192077 | − | 0.981380i | \(-0.561522\pi\) | ||||
−0.192077 | + | 0.981380i | \(0.561522\pi\) | |||||||
\(164\) | − | 1.18531i | − | 0.0925571i | ||||||
\(165\) | −15.5397 | + | 2.93107i | −1.20976 | + | 0.228184i | ||||
\(166\) | −37.0599 | −2.87640 | ||||||||
\(167\) | 9.67303i | 0.748521i | 0.927324 | + | 0.374261i | \(0.122103\pi\) | ||||
−0.927324 | + | 0.374261i | \(0.877897\pi\) | |||||||
\(168\) | 3.55085 | + | 18.8255i | 0.273954 | + | 1.45242i | ||||
\(169\) | −9.01945 | −0.693804 | ||||||||
\(170\) | −17.3253 | −1.32879 | ||||||||
\(171\) | −18.7263 | + | 7.32488i | −1.43204 | + | 0.560148i | ||||
\(172\) | − | 31.7071i | − | 2.41764i | ||||||
\(173\) | 3.59398 | 0.273246 | 0.136623 | − | 0.990623i | \(-0.456375\pi\) | ||||
0.136623 | + | 0.990623i | \(0.456375\pi\) | |||||||
\(174\) | 6.34048 | − | 1.19594i | 0.480671 | − | 0.0906637i | ||||
\(175\) | 2.71585 | 0.205299 | ||||||||
\(176\) | −17.1274 | −1.29103 | ||||||||
\(177\) | −12.4011 | − | 4.81806i | −0.932121 | − | 0.362148i | ||||
\(178\) | −14.6700 | −1.09956 | ||||||||
\(179\) | −12.1281 | −0.906498 | −0.453249 | − | 0.891384i | \(-0.649735\pi\) | ||||
−0.453249 | + | 0.891384i | \(0.649735\pi\) | |||||||
\(180\) | −11.2729 | − | 28.8197i | −0.840236 | − | 2.14809i | ||||
\(181\) | 4.34472 | 0.322941 | 0.161470 | − | 0.986878i | \(-0.448376\pi\) | ||||
0.161470 | + | 0.986878i | \(0.448376\pi\) | |||||||
\(182\) | 24.5408i | 1.81909i | ||||||||
\(183\) | −16.8913 | + | 3.18603i | −1.24864 | + | 0.235518i | ||||
\(184\) | −4.62887 | −0.341245 | ||||||||
\(185\) | −29.0885 | −2.13863 | ||||||||
\(186\) | −29.0885 | + | 5.48664i | −2.13287 | + | 0.402300i | ||||
\(187\) | − | 10.1791i | − | 0.744372i | ||||||
\(188\) | 38.9798 | 2.84290 | ||||||||
\(189\) | −5.83076 | − | 9.31497i | −0.424125 | − | 0.677565i | ||||
\(190\) | 41.5494i | 3.01431i | ||||||||
\(191\) | −6.81756 | −0.493301 | −0.246651 | − | 0.969104i | \(-0.579330\pi\) | ||||
−0.246651 | + | 0.969104i | \(0.579330\pi\) | |||||||
\(192\) | 2.09122 | + | 11.0870i | 0.150921 | + | 0.800136i | ||||
\(193\) | 6.76322 | 0.486828 | 0.243414 | − | 0.969923i | \(-0.421733\pi\) | ||||
0.243414 | + | 0.969923i | \(0.421733\pi\) | |||||||
\(194\) | 4.15329i | 0.298189i | ||||||||
\(195\) | −3.77643 | − | 20.0215i | −0.270436 | − | 1.43377i | ||||
\(196\) | −10.3991 | −0.742790 | ||||||||
\(197\) | − | 1.35841i | − | 0.0967829i | −0.998828 | − | 0.0483915i | \(-0.984590\pi\) | ||
0.998828 | − | 0.0483915i | \(-0.0154095\pi\) | |||||||
\(198\) | 25.1623 | − | 9.84233i | 1.78821 | − | 0.699464i | ||||
\(199\) | 7.88509 | 0.558959 | 0.279480 | − | 0.960152i | \(-0.409838\pi\) | ||||
0.279480 | + | 0.960152i | \(0.409838\pi\) | |||||||
\(200\) | −6.71585 | −0.474883 | ||||||||
\(201\) | 7.98680 | − | 1.50646i | 0.563345 | − | 0.106258i | ||||
\(202\) | 13.6351 | 0.959363 | ||||||||
\(203\) | − | 3.18603i | − | 0.223615i | ||||||
\(204\) | 19.5745 | − | 3.69213i | 1.37049 | − | 0.258501i | ||||
\(205\) | 0.722096 | 0.0504334 | ||||||||
\(206\) | 30.6579i | 2.13604i | ||||||||
\(207\) | 2.47283 | − | 0.967259i | 0.171874 | − | 0.0672292i | ||||
\(208\) | − | 22.0671i | − | 1.53008i | ||||||
\(209\) | −24.4115 | −1.68858 | ||||||||
\(210\) | −22.3141 | + | 4.20886i | −1.53982 | + | 0.290439i | ||||
\(211\) | 17.6296i | 1.21367i | 0.794827 | + | 0.606836i | \(0.207561\pi\) | ||||
−0.794827 | + | 0.606836i | \(0.792439\pi\) | |||||||
\(212\) | 38.3303i | 2.63253i | ||||||||
\(213\) | −4.58150 | + | 0.864158i | −0.313919 | + | 0.0592111i | ||||
\(214\) | − | 12.3161i | − | 0.841908i | ||||||
\(215\) | 19.3161 | 1.31735 | ||||||||
\(216\) | 14.4185 | + | 23.0344i | 0.981055 | + | 1.56729i | ||||
\(217\) | 14.6167i | 0.992244i | ||||||||
\(218\) | 12.9371i | 0.876211i | ||||||||
\(219\) | −4.21037 | + | 0.794155i | −0.284510 | + | 0.0536641i | ||||
\(220\) | − | 37.5692i | − | 2.53292i | ||||||
\(221\) | 13.1149 | 0.882204 | ||||||||
\(222\) | 48.8385 | − | 9.21187i | 3.27783 | − | 0.618260i | ||||
\(223\) | 20.5808 | 1.37819 | 0.689096 | − | 0.724671i | \(-0.258008\pi\) | ||||
0.689096 | + | 0.724671i | \(0.258008\pi\) | |||||||
\(224\) | −2.47283 | −0.165223 | ||||||||
\(225\) | 3.58774 | − | 1.40336i | 0.239183 | − | 0.0935573i | ||||
\(226\) | −16.8587 | −1.12142 | ||||||||
\(227\) | −20.0342 | −1.32971 | −0.664857 | − | 0.746970i | \(-0.731508\pi\) | ||||
−0.664857 | + | 0.746970i | \(0.731508\pi\) | |||||||
\(228\) | −8.85445 | − | 46.9436i | −0.586400 | − | 3.10891i | ||||
\(229\) | − | 4.97674i | − | 0.328872i | −0.986388 | − | 0.164436i | \(-0.947420\pi\) | ||
0.986388 | − | 0.164436i | \(-0.0525804\pi\) | |||||||
\(230\) | − | 5.48664i | − | 0.361779i | ||||||
\(231\) | −2.47283 | − | 13.1102i | −0.162701 | − | 0.862588i | ||||
\(232\) | 7.87852i | 0.517250i | ||||||||
\(233\) | 8.68945 | 0.569264 | 0.284632 | − | 0.958637i | \(-0.408129\pi\) | ||||
0.284632 | + | 0.958637i | \(0.408129\pi\) | |||||||
\(234\) | 12.6810 | + | 32.4194i | 0.828981 | + | 2.11932i | ||||
\(235\) | 23.7467i | 1.54906i | ||||||||
\(236\) | 16.7089 | − | 26.8296i | 1.08766 | − | 1.74646i | ||||
\(237\) | 1.14555 | + | 6.07337i | 0.0744117 | + | 0.394508i | ||||
\(238\) | − | 14.6167i | − | 0.947458i | ||||||
\(239\) | − | 7.31426i | − | 0.473120i | −0.971617 | − | 0.236560i | \(-0.923980\pi\) | ||
0.971617 | − | 0.236560i | \(-0.0760200\pi\) | |||||||
\(240\) | 20.0648 | − | 3.78461i | 1.29518 | − | 0.244295i | ||||
\(241\) | 26.5070 | 1.70747 | 0.853733 | − | 0.520711i | \(-0.174333\pi\) | ||||
0.853733 | + | 0.520711i | \(0.174333\pi\) | |||||||
\(242\) | 5.60023 | 0.359996 | ||||||||
\(243\) | −12.5160 | − | 9.29250i | −0.802900 | − | 0.596114i | ||||
\(244\) | − | 40.8371i | − | 2.61433i | ||||||
\(245\) | − | 6.33515i | − | 0.404738i | ||||||
\(246\) | −1.21237 | + | 0.228676i | −0.0772980 | + | 0.0145799i | ||||
\(247\) | − | 31.4521i | − | 2.00125i | ||||||
\(248\) | − | 36.1446i | − | 2.29518i | ||||||
\(249\) | 4.81131 | + | 25.5081i | 0.304905 | + | 1.61651i | ||||
\(250\) | 23.0344i | 1.45682i | ||||||||
\(251\) | − | 25.7143i | − | 1.62307i | −0.584302 | − | 0.811536i | \(-0.698632\pi\) | ||
0.584302 | − | 0.811536i | \(-0.301368\pi\) | |||||||
\(252\) | 24.3141 | − | 9.51055i | 1.53164 | − | 0.599108i | ||||
\(253\) | 3.22357 | 0.202664 | ||||||||
\(254\) | 39.9993 | 2.50978 | ||||||||
\(255\) | 2.24926 | + | 11.9249i | 0.140854 | + | 0.746766i | ||||
\(256\) | −32.5870 | −2.03669 | ||||||||
\(257\) | 18.4450i | 1.15057i | 0.817954 | + | 0.575284i | \(0.195108\pi\) | ||||
−0.817954 | + | 0.575284i | \(0.804892\pi\) | |||||||
\(258\) | −32.4310 | + | 6.11710i | −2.01907 | + | 0.380834i | ||||
\(259\) | − | 24.5408i | − | 1.52489i | ||||||
\(260\) | 48.4046 | 3.00192 | ||||||||
\(261\) | −1.64631 | − | 4.20886i | −0.101904 | − | 0.260522i | ||||
\(262\) | −3.47507 | −0.214690 | ||||||||
\(263\) | 9.30313i | 0.573655i | 0.957982 | + | 0.286828i | \(0.0926007\pi\) | ||||
−0.957982 | + | 0.286828i | \(0.907399\pi\) | |||||||
\(264\) | 6.11491 | + | 32.4194i | 0.376347 | + | 1.99527i | ||||
\(265\) | −23.3510 | −1.43444 | ||||||||
\(266\) | −35.0536 | −2.14928 | ||||||||
\(267\) | 1.90454 | + | 10.0973i | 0.116556 | + | 0.617944i | ||||
\(268\) | 19.3092i | 1.17949i | ||||||||
\(269\) | 7.45115 | 0.454305 | 0.227152 | − | 0.973859i | \(-0.427058\pi\) | ||||
0.227152 | + | 0.973859i | \(0.427058\pi\) | |||||||
\(270\) | −27.3029 | + | 17.0904i | −1.66160 | + | 1.04009i | ||||
\(271\) | −5.58078 | −0.339008 | −0.169504 | − | 0.985529i | \(-0.554217\pi\) | ||||
−0.169504 | + | 0.985529i | \(0.554217\pi\) | |||||||
\(272\) | 13.1433i | 0.796930i | ||||||||
\(273\) | 16.8913 | − | 3.18603i | 1.02231 | − | 0.192827i | ||||
\(274\) | − | 38.7914i | − | 2.34348i | ||||||
\(275\) | 4.67696 | 0.282031 | ||||||||
\(276\) | 1.16924 | + | 6.19895i | 0.0703800 | + | 0.373133i | ||||
\(277\) | −25.7717 | −1.54847 | −0.774236 | − | 0.632897i | \(-0.781866\pi\) | ||||
−0.774236 | + | 0.632897i | \(0.781866\pi\) | |||||||
\(278\) | −27.5870 | −1.65456 | ||||||||
\(279\) | 7.55286 | + | 19.3092i | 0.452178 | + | 1.15601i | ||||
\(280\) | − | 27.7269i | − | 1.65700i | ||||||
\(281\) | − | 17.2266i | − | 1.02765i | −0.857894 | − | 0.513826i | \(-0.828228\pi\) | ||
0.857894 | − | 0.513826i | \(-0.171772\pi\) | |||||||
\(282\) | −7.52021 | − | 39.8698i | −0.447822 | − | 2.37421i | ||||
\(283\) | 19.0542i | 1.13265i | 0.824180 | + | 0.566327i | \(0.191636\pi\) | ||||
−0.824180 | + | 0.566327i | \(0.808364\pi\) | |||||||
\(284\) | − | 11.0764i | − | 0.657263i | ||||||
\(285\) | 28.5982 | − | 5.39417i | 1.69401 | − | 0.319523i | ||||
\(286\) | 42.2617i | 2.49899i | ||||||||
\(287\) | 0.609204i | 0.0359602i | ||||||||
\(288\) | −3.26670 | + | 1.27779i | −0.192492 | + | 0.0752942i | ||||
\(289\) | 9.18869 | 0.540511 | ||||||||
\(290\) | −9.33848 | −0.548374 | ||||||||
\(291\) | 2.85868 | − | 0.539202i | 0.167579 | − | 0.0316086i | ||||
\(292\) | − | 10.1791i | − | 0.595689i | ||||||
\(293\) | − | 10.7765i | − | 0.629569i | −0.949163 | − | 0.314785i | \(-0.898068\pi\) | ||
0.949163 | − | 0.314785i | \(-0.101932\pi\) | |||||||
\(294\) | 2.00624 | + | 10.6365i | 0.117006 | + | 0.620332i | ||||
\(295\) | 16.3447 | + | 10.1791i | 0.951627 | + | 0.592652i | ||||
\(296\) | 60.6854i | 3.52727i | ||||||||
\(297\) | −10.0411 | − | 16.0413i | −0.582645 | − | 0.930809i | ||||
\(298\) | 25.0815 | 1.45293 | ||||||||
\(299\) | 4.15329i | 0.240191i | ||||||||
\(300\) | 1.69641 | + | 8.99382i | 0.0979420 | + | 0.519259i | ||||
\(301\) | 16.2962i | 0.939299i | ||||||||
\(302\) | − | 6.11710i | − | 0.352000i | ||||||
\(303\) | −1.77018 | − | 9.38498i | −0.101694 | − | 0.539153i | ||||
\(304\) | 31.5202 | 1.80781 | ||||||||
\(305\) | 24.8781 | 1.42452 | ||||||||
\(306\) | −7.55286 | − | 19.3092i | −0.431768 | − | 1.10383i | ||||
\(307\) | −1.01945 | −0.0581829 | −0.0290915 | − | 0.999577i | \(-0.509261\pi\) | ||||
−0.0290915 | + | 0.999577i | \(0.509261\pi\) | |||||||
\(308\) | 31.6957 | 1.80603 | ||||||||
\(309\) | 21.1017 | − | 3.98018i | 1.20043 | − | 0.226425i | ||||
\(310\) | 42.8425 | 2.43329 | ||||||||
\(311\) | − | 4.84054i | − | 0.274482i | −0.990538 | − | 0.137241i | \(-0.956177\pi\) | ||
0.990538 | − | 0.137241i | \(-0.0438234\pi\) | |||||||
\(312\) | −41.7695 | + | 7.87852i | −2.36473 | + | 0.446033i | ||||
\(313\) | − | 16.0413i | − | 0.906707i | −0.891331 | − | 0.453353i | \(-0.850228\pi\) | ||
0.891331 | − | 0.453353i | \(-0.149772\pi\) | |||||||
\(314\) | 30.0275i | 1.69455i | ||||||||
\(315\) | 5.79387 | + | 14.8122i | 0.326448 | + | 0.834575i | ||||
\(316\) | −14.6832 | −0.825995 | ||||||||
\(317\) | 17.2966i | 0.971473i | 0.874105 | + | 0.485737i | \(0.161449\pi\) | ||||
−0.874105 | + | 0.485737i | \(0.838551\pi\) | |||||||
\(318\) | 39.2054 | − | 7.39489i | 2.19853 | − | 0.414685i | ||||
\(319\) | − | 5.48664i | − | 0.307193i | ||||||
\(320\) | − | 16.3293i | − | 0.912837i | ||||||
\(321\) | −8.47707 | + | 1.59894i | −0.473144 | + | 0.0892440i | ||||
\(322\) | 4.62887 | 0.257957 | ||||||||
\(323\) | 18.7331i | 1.04233i | ||||||||
\(324\) | 27.2054 | − | 25.1276i | 1.51141 | − | 1.39598i | ||||
\(325\) | 6.02585i | 0.334254i | ||||||||
\(326\) | −12.1281 | −0.671714 | ||||||||
\(327\) | 8.90454 | − | 1.67957i | 0.492422 | − | 0.0928802i | ||||
\(328\) | − | 1.50646i | − | 0.0831804i | ||||||
\(329\) | −20.0342 | −1.10452 | ||||||||
\(330\) | −38.4270 | + | 7.24806i | −2.11534 | + | 0.398992i | ||||
\(331\) | −9.45267 | −0.519566 | −0.259783 | − | 0.965667i | \(-0.583651\pi\) | ||||
−0.259783 | + | 0.965667i | \(0.583651\pi\) | |||||||
\(332\) | −61.6693 | −3.38454 | ||||||||
\(333\) | −12.6810 | − | 32.4194i | −0.694913 | − | 1.77657i | ||||
\(334\) | 23.9198i | 1.30883i | ||||||||
\(335\) | −11.7632 | −0.642694 | ||||||||
\(336\) | 3.19293 | + | 16.9279i | 0.174188 | + | 0.923493i | ||||
\(337\) | − | 25.4263i | − | 1.38506i | −0.721391 | − | 0.692528i | \(-0.756497\pi\) | ||
0.721391 | − | 0.692528i | \(-0.243503\pi\) | |||||||
\(338\) | −22.3036 | −1.21316 | ||||||||
\(339\) | 2.18869 | + | 11.6037i | 0.118873 | + | 0.630229i | ||||
\(340\) | −28.8300 | −1.56353 | ||||||||
\(341\) | 25.1713i | 1.36310i | ||||||||
\(342\) | −46.3071 | + | 18.1132i | −2.50400 | + | 0.979451i | ||||
\(343\) | 20.1491 | 1.08795 | ||||||||
\(344\) | − | 40.2979i | − | 2.17272i | ||||||
\(345\) | −3.77643 | + | 0.712306i | −0.203316 | + | 0.0383493i | ||||
\(346\) | 8.88733 | 0.477786 | ||||||||
\(347\) | 16.9604 | 0.910481 | 0.455241 | − | 0.890368i | \(-0.349553\pi\) | ||||
0.455241 | + | 0.890368i | \(0.349553\pi\) | |||||||
\(348\) | 10.5509 | − | 1.99009i | 0.565585 | − | 0.106680i | ||||
\(349\) | 7.70541i | 0.412461i | 0.978503 | + | 0.206231i | \(0.0661197\pi\) | ||||
−0.978503 | + | 0.206231i | \(0.933880\pi\) | |||||||
\(350\) | 6.71585 | 0.358977 | ||||||||
\(351\) | 20.6678 | − | 12.9371i | 1.10316 | − | 0.690531i | ||||
\(352\) | −4.25846 | −0.226977 | ||||||||
\(353\) | 3.79187 | 0.201821 | 0.100910 | − | 0.994896i | \(-0.467824\pi\) | ||||
0.100910 | + | 0.994896i | \(0.467824\pi\) | |||||||
\(354\) | −30.6658 | − | 11.9143i | −1.62987 | − | 0.633236i | ||||
\(355\) | 6.74779 | 0.358135 | ||||||||
\(356\) | −24.4115 | −1.29381 | ||||||||
\(357\) | −10.0606 | + | 1.89762i | −0.532462 | + | 0.100432i | ||||
\(358\) | −29.9908 | −1.58506 | ||||||||
\(359\) | − | 8.41772i | − | 0.444270i | −0.975016 | − | 0.222135i | \(-0.928697\pi\) | ||
0.975016 | − | 0.222135i | \(-0.0713026\pi\) | |||||||
\(360\) | −14.3273 | − | 36.6282i | −0.755114 | − | 1.93048i | ||||
\(361\) | 25.9255 | 1.36450 | ||||||||
\(362\) | 10.7438 | 0.564680 | ||||||||
\(363\) | −0.727052 | − | 3.85461i | −0.0381603 | − | 0.202314i | ||||
\(364\) | 40.8371i | 2.14044i | ||||||||
\(365\) | 6.20117 | 0.324584 | ||||||||
\(366\) | −41.7695 | + | 7.87852i | −2.18333 | + | 0.411817i | ||||
\(367\) | − | 0.254953i | − | 0.0133084i | −0.999978 | − | 0.00665422i | \(-0.997882\pi\) | ||
0.999978 | − | 0.00665422i | \(-0.00211812\pi\) | |||||||
\(368\) | −4.16228 | −0.216974 | ||||||||
\(369\) | 0.314794 | + | 0.804782i | 0.0163875 | + | 0.0418953i | ||||
\(370\) | −71.9310 | −3.73952 | ||||||||
\(371\) | − | 19.7003i | − | 1.02279i | ||||||
\(372\) | −48.4046 | + | 9.13002i | −2.50966 | + | 0.473370i | ||||
\(373\) | −3.23606 | −0.167557 | −0.0837784 | − | 0.996484i | \(-0.526699\pi\) | ||||
−0.0837784 | + | 0.996484i | \(0.526699\pi\) | |||||||
\(374\) | − | 25.1713i | − | 1.30158i | ||||||
\(375\) | 15.8544 | − | 2.99045i | 0.818720 | − | 0.154426i | ||||
\(376\) | 49.5412 | 2.55489 | ||||||||
\(377\) | 7.06905 | 0.364075 | ||||||||
\(378\) | −14.4185 | − | 23.0344i | −0.741608 | − | 1.18476i | ||||
\(379\) | −6.09323 | −0.312988 | −0.156494 | − | 0.987679i | \(-0.550019\pi\) | ||||
−0.156494 | + | 0.987679i | \(0.550019\pi\) | |||||||
\(380\) | 69.1401i | 3.54681i | ||||||||
\(381\) | −5.19293 | − | 27.5313i | −0.266042 | − | 1.41047i | ||||
\(382\) | −16.8587 | −0.862565 | ||||||||
\(383\) | − | 30.1306i | − | 1.53960i | −0.638284 | − | 0.769801i | \(-0.720356\pi\) | ||
0.638284 | − | 0.769801i | \(-0.279644\pi\) | |||||||
\(384\) | 5.92198 | + | 31.3965i | 0.302205 | + | 1.60220i | ||||
\(385\) | 19.3092i | 0.984086i | ||||||||
\(386\) | 16.7243 | 0.851246 | ||||||||
\(387\) | 8.42074 | + | 21.5279i | 0.428050 | + | 1.09433i | ||||
\(388\) | 6.91126i | 0.350866i | ||||||||
\(389\) | 16.0531i | 0.813926i | 0.913445 | + | 0.406963i | \(0.133412\pi\) | ||||
−0.913445 | + | 0.406963i | \(0.866588\pi\) | |||||||
\(390\) | −9.33848 | − | 49.5097i | −0.472872 | − | 2.50702i | ||||
\(391\) | − | 2.47372i | − | 0.125101i | ||||||
\(392\) | −13.2166 | −0.667540 | ||||||||
\(393\) | 0.451152 | + | 2.39187i | 0.0227576 | + | 0.120654i | ||||
\(394\) | − | 3.35913i | − | 0.169231i | ||||||
\(395\) | − | 8.94507i | − | 0.450075i | ||||||
\(396\) | 41.8712 | − | 16.3781i | 2.10411 | − | 0.823030i | ||||
\(397\) | 18.5150i | 0.929241i | 0.885510 | + | 0.464621i | \(0.153809\pi\) | ||||
−0.885510 | + | 0.464621i | \(0.846191\pi\) | |||||||
\(398\) | 19.4985 | 0.977373 | ||||||||
\(399\) | 4.55085 | + | 24.1272i | 0.227828 | + | 1.20787i | ||||
\(400\) | −6.03889 | −0.301945 | ||||||||
\(401\) | 30.5591 | 1.52605 | 0.763024 | − | 0.646370i | \(-0.223714\pi\) | ||||
0.763024 | + | 0.646370i | \(0.223714\pi\) | |||||||
\(402\) | 19.7500 | − | 3.72523i | 0.985041 | − | 0.185798i | ||||
\(403\) | −32.4310 | −1.61550 | ||||||||
\(404\) | 22.6894 | 1.12884 | ||||||||
\(405\) | 15.3078 | + | 16.5737i | 0.760652 | + | 0.823552i | ||||
\(406\) | − | 7.87852i | − | 0.391004i | ||||||
\(407\) | − | 42.2617i | − | 2.09483i | ||||||
\(408\) | 24.8781 | − | 4.69249i | 1.23165 | − | 0.232313i | ||||
\(409\) | − | 32.2463i | − | 1.59447i | −0.603666 | − | 0.797237i | \(-0.706294\pi\) | ||
0.603666 | − | 0.797237i | \(-0.293706\pi\) | |||||||
\(410\) | 1.78562 | 0.0881856 | ||||||||
\(411\) | −26.6999 | + | 5.03611i | −1.31701 | + | 0.248413i | ||||
\(412\) | 51.0162i | 2.51339i | ||||||||
\(413\) | −8.58774 | + | 13.7894i | −0.422575 | + | 0.678533i | ||||
\(414\) | 6.11491 | − | 2.39187i | 0.300531 | − | 0.117554i | ||||
\(415\) | − | 37.5692i | − | 1.84420i | ||||||
\(416\) | − | 5.48664i | − | 0.269005i | ||||||
\(417\) | 3.58150 | + | 18.9880i | 0.175387 | + | 0.929847i | ||||
\(418\) | −60.3657 | −2.95258 | ||||||||
\(419\) | 20.1476 | 0.984273 | 0.492136 | − | 0.870518i | \(-0.336216\pi\) | ||||
0.492136 | + | 0.870518i | \(0.336216\pi\) | |||||||
\(420\) | −37.1316 | + | 7.00373i | −1.81184 | + | 0.341747i | ||||
\(421\) | 23.1162i | 1.12662i | 0.826247 | + | 0.563308i | \(0.190472\pi\) | ||||
−0.826247 | + | 0.563308i | \(0.809528\pi\) | |||||||
\(422\) | 43.5950i | 2.12217i | ||||||||
\(423\) | −26.4659 | + | 10.3522i | −1.28681 | + | 0.503343i | ||||
\(424\) | 48.7156i | 2.36584i | ||||||||
\(425\) | − | 3.58903i | − | 0.174093i | ||||||
\(426\) | −11.3293 | + | 2.13692i | −0.548906 | + | 0.103534i | ||||
\(427\) | 20.9887i | 1.01572i | ||||||||
\(428\) | − | 20.4945i | − | 0.990637i | ||||||
\(429\) | 29.0885 | − | 5.48664i | 1.40441 | − | 0.264898i | ||||
\(430\) | 47.7655 | 2.30345 | ||||||||
\(431\) | −21.0691 | −1.01486 | −0.507430 | − | 0.861693i | \(-0.669405\pi\) | ||||
−0.507430 | + | 0.861693i | \(0.669405\pi\) | |||||||
\(432\) | 12.9651 | + | 20.7125i | 0.623784 | + | 0.996531i | ||||
\(433\) | 12.1344 | 0.583140 | 0.291570 | − | 0.956550i | \(-0.405822\pi\) | ||||
0.291570 | + | 0.956550i | \(0.405822\pi\) | |||||||
\(434\) | 36.1446i | 1.73500i | ||||||||
\(435\) | 1.21237 | + | 6.42763i | 0.0581288 | + | 0.308181i | ||||
\(436\) | 21.5279i | 1.03100i | ||||||||
\(437\) | −5.93246 | −0.283788 | ||||||||
\(438\) | −10.4115 | + | 1.96381i | −0.497483 | + | 0.0938347i | ||||
\(439\) | 23.8432 | 1.13798 | 0.568988 | − | 0.822346i | \(-0.307335\pi\) | ||||
0.568988 | + | 0.822346i | \(0.307335\pi\) | |||||||
\(440\) | − | 47.7483i | − | 2.27631i | ||||||
\(441\) | 7.06058 | − | 2.76177i | 0.336218 | − | 0.131513i | ||||
\(442\) | 32.4310 | 1.54258 | ||||||||
\(443\) | −22.0731 | −1.04872 | −0.524361 | − | 0.851496i | \(-0.675696\pi\) | ||||
−0.524361 | + | 0.851496i | \(0.675696\pi\) | |||||||
\(444\) | 81.2695 | − | 15.3290i | 3.85688 | − | 0.727481i | ||||
\(445\) | − | 14.8716i | − | 0.704982i | ||||||
\(446\) | 50.8929 | 2.40985 | ||||||||
\(447\) | −3.25622 | − | 17.2635i | −0.154014 | − | 0.816535i | ||||
\(448\) | 13.7764 | 0.650875 | ||||||||
\(449\) | − | 16.6992i | − | 0.788086i | −0.919092 | − | 0.394043i | \(-0.871076\pi\) | ||
0.919092 | − | 0.394043i | \(-0.128924\pi\) | |||||||
\(450\) | 8.87189 | − | 3.47028i | 0.418225 | − | 0.163590i | ||||
\(451\) | 1.04911i | 0.0494006i | ||||||||
\(452\) | −28.0536 | −1.31953 | ||||||||
\(453\) | −4.21037 | + | 0.794155i | −0.197820 | + | 0.0373127i | ||||
\(454\) | −49.5412 | −2.32508 | ||||||||
\(455\) | −24.8781 | −1.16630 | ||||||||
\(456\) | −11.2535 | − | 59.6626i | −0.526993 | − | 2.79396i | ||||
\(457\) | − | 1.04911i | − | 0.0490752i | −0.999699 | − | 0.0245376i | \(-0.992189\pi\) | ||
0.999699 | − | 0.0245376i | \(-0.00781135\pi\) | |||||||
\(458\) | − | 12.3066i | − | 0.575052i | ||||||
\(459\) | −12.3098 | + | 7.70541i | −0.574574 | + | 0.359658i | ||||
\(460\) | − | 9.13002i | − | 0.425690i | ||||||
\(461\) | 4.35949i | 0.203042i | 0.994833 | + | 0.101521i | \(0.0323709\pi\) | ||||
−0.994833 | + | 0.101521i | \(0.967629\pi\) | |||||||
\(462\) | −6.11491 | − | 32.4194i | −0.284491 | − | 1.50829i | ||||
\(463\) | 7.16621i | 0.333042i | 0.986038 | + | 0.166521i | \(0.0532534\pi\) | ||||
−0.986038 | + | 0.166521i | \(0.946747\pi\) | |||||||
\(464\) | 7.08436i | 0.328883i | ||||||||
\(465\) | −5.56205 | − | 29.4883i | −0.257934 | − | 1.36749i | ||||
\(466\) | 21.4876 | 0.995392 | ||||||||
\(467\) | 12.7981 | 0.592226 | 0.296113 | − | 0.955153i | \(-0.404310\pi\) | ||||
0.296113 | + | 0.955153i | \(0.404310\pi\) | |||||||
\(468\) | 21.1017 | + | 53.9473i | 0.975427 | + | 2.49371i | ||||
\(469\) | − | 9.92418i | − | 0.458256i | ||||||
\(470\) | 58.7216i | 2.70863i | ||||||||
\(471\) | 20.6678 | − | 3.89833i | 0.952320 | − | 0.179626i | ||||
\(472\) | 21.2361 | − | 34.0989i | 0.977469 | − | 1.56953i | ||||
\(473\) | 28.0637i | 1.29037i | ||||||||
\(474\) | 2.83276 | + | 15.0184i | 0.130113 | + | 0.689820i | ||||
\(475\) | −8.60719 | −0.394925 | ||||||||
\(476\) | − | 24.3228i | − | 1.11483i | ||||||
\(477\) | −10.1797 | − | 26.0248i | −0.466097 | − | 1.19160i | ||||
\(478\) | − | 18.0869i | − | 0.827278i | ||||||
\(479\) | − | 21.4248i | − | 0.978925i | −0.872024 | − | 0.489463i | \(-0.837193\pi\) | ||
0.872024 | − | 0.489463i | \(-0.162807\pi\) | |||||||
\(480\) | 4.98880 | − | 0.940983i | 0.227707 | − | 0.0429498i | ||||
\(481\) | 54.4504 | 2.48273 | ||||||||
\(482\) | 65.5474 | 2.98560 | ||||||||
\(483\) | −0.600945 | − | 3.18603i | −0.0273440 | − | 0.144969i | ||||
\(484\) | 9.31903 | 0.423592 | ||||||||
\(485\) | −4.21037 | −0.191183 | ||||||||
\(486\) | −30.9499 | − | 22.9788i | −1.40392 | − | 1.04234i | ||||
\(487\) | −32.3767 | −1.46713 | −0.733563 | − | 0.679621i | \(-0.762144\pi\) | ||||
−0.733563 | + | 0.679621i | \(0.762144\pi\) | |||||||
\(488\) | − | 51.9016i | − | 2.34948i | ||||||
\(489\) | 1.57454 | + | 8.34772i | 0.0712031 | + | 0.377497i | ||||
\(490\) | − | 15.6658i | − | 0.707708i | ||||||
\(491\) | 20.8525i | 0.941061i | 0.882384 | + | 0.470531i | \(0.155937\pi\) | ||||
−0.882384 | + | 0.470531i | \(0.844063\pi\) | |||||||
\(492\) | −2.01744 | + | 0.380528i | −0.0909533 | + | 0.0171555i | ||||
\(493\) | −4.21037 | −0.189625 | ||||||||
\(494\) | − | 77.7758i | − | 3.49930i | ||||||
\(495\) | 9.97760 | + | 25.5081i | 0.448460 | + | 1.14650i | ||||
\(496\) | − | 32.5012i | − | 1.45935i | ||||||
\(497\) | 5.69285i | 0.255359i | ||||||||
\(498\) | 11.8976 | + | 63.0773i | 0.533143 | + | 2.82656i | ||||
\(499\) | −4.08074 | −0.182679 | −0.0913395 | − | 0.995820i | \(-0.529115\pi\) | ||||
−0.0913395 | + | 0.995820i | \(0.529115\pi\) | |||||||
\(500\) | 38.3303i | 1.71418i | ||||||||
\(501\) | 16.4639 | − | 3.10540i | 0.735551 | − | 0.138739i | ||||
\(502\) | − | 63.5872i | − | 2.83804i | ||||||
\(503\) | −36.1748 | −1.61295 | −0.806477 | − | 0.591266i | \(-0.798628\pi\) | ||||
−0.806477 | + | 0.591266i | \(0.798628\pi\) | |||||||
\(504\) | 30.9018 | − | 12.0874i | 1.37648 | − | 0.538414i | ||||
\(505\) | 13.8225i | 0.615094i | ||||||||
\(506\) | 7.97136 | 0.354370 | ||||||||
\(507\) | 2.89557 | + | 15.3514i | 0.128597 | + | 0.681782i | ||||
\(508\) | 66.5606 | 2.95315 | ||||||||
\(509\) | −35.3378 | −1.56632 | −0.783159 | − | 0.621821i | \(-0.786393\pi\) | ||||
−0.783159 | + | 0.621821i | \(0.786393\pi\) | |||||||
\(510\) | 5.56205 | + | 29.4883i | 0.246292 | + | 1.30576i | ||||
\(511\) | 5.23169i | 0.231436i | ||||||||
\(512\) | −43.6894 | −1.93082 | ||||||||
\(513\) | 18.4791 | + | 29.5214i | 0.815871 | + | 1.30340i | ||||
\(514\) | 45.6114i | 2.01183i | ||||||||
\(515\) | −31.0793 | −1.36952 | ||||||||
\(516\) | −53.9666 | + | 10.1791i | −2.37575 | + | 0.448111i | ||||
\(517\) | −34.5008 | −1.51734 | ||||||||
\(518\) | − | 60.6854i | − | 2.66637i | ||||||
\(519\) | −1.15380 | − | 6.11710i | −0.0506463 | − | 0.268511i | ||||
\(520\) | 61.5195 | 2.69781 | ||||||||
\(521\) | − | 29.1964i | − | 1.27912i | −0.768742 | − | 0.639559i | \(-0.779117\pi\) | ||
0.768742 | − | 0.639559i | \(-0.220883\pi\) | |||||||
\(522\) | −4.07106 | − | 10.4078i | −0.178185 | − | 0.455537i | ||||
\(523\) | −25.3121 | −1.10682 | −0.553410 | − | 0.832909i | \(-0.686674\pi\) | ||||
−0.553410 | + | 0.832909i | \(0.686674\pi\) | |||||||
\(524\) | −5.78267 | −0.252617 | ||||||||
\(525\) | −0.871889 | − | 4.62249i | −0.0380523 | − | 0.201742i | ||||
\(526\) | 23.0051i | 1.00307i | ||||||||
\(527\) | 19.3161 | 0.841422 | ||||||||
\(528\) | 5.49852 | + | 29.1515i | 0.239293 | + | 1.26866i | ||||
\(529\) | −22.2166 | −0.965940 | ||||||||
\(530\) | −57.7431 | −2.50820 | ||||||||
\(531\) | −4.21933 | + | 22.6539i | −0.183103 | + | 0.983094i | ||||
\(532\) | −58.3308 | −2.52896 | ||||||||
\(533\) | −1.35168 | −0.0585479 | ||||||||
\(534\) | 4.70961 | + | 24.9689i | 0.203805 | + | 1.08051i | ||||
\(535\) | 12.4853 | 0.539787 | ||||||||
\(536\) | 24.5408i | 1.06000i | ||||||||
\(537\) | 3.89357 | + | 20.6425i | 0.168020 | + | 0.890790i | ||||
\(538\) | 18.4255 | 0.794378 | ||||||||
\(539\) | 9.20412 | 0.396450 | ||||||||
\(540\) | −45.4332 | + | 28.4392i | −1.95513 | + | 1.22383i | ||||
\(541\) | − | 18.5150i | − | 0.796022i | −0.917381 | − | 0.398011i | \(-0.869701\pi\) | ||
0.917381 | − | 0.398011i | \(-0.130299\pi\) | |||||||
\(542\) | −13.8003 | −0.592776 | ||||||||
\(543\) | −1.39482 | − | 7.39489i | −0.0598573 | − | 0.317345i | ||||
\(544\) | 3.26788i | 0.140109i | ||||||||
\(545\) | −13.1149 | −0.561781 | ||||||||
\(546\) | 41.7695 | − | 7.87852i | 1.78757 | − | 0.337169i | ||||
\(547\) | 9.65679 | 0.412895 | 0.206447 | − | 0.978458i | \(-0.433810\pi\) | ||||
0.206447 | + | 0.978458i | \(0.433810\pi\) | |||||||
\(548\) | − | 64.5507i | − | 2.75747i | ||||||
\(549\) | 10.8455 | + | 27.7269i | 0.462874 | + | 1.18335i | ||||
\(550\) | 11.5653 | 0.493148 | ||||||||
\(551\) | 10.0973i | 0.430159i | ||||||||
\(552\) | 1.48604 | + | 7.87852i | 0.0632500 | + | 0.335332i | ||||
\(553\) | 7.54661 | 0.320915 | ||||||||
\(554\) | −63.7291 | −2.70759 | ||||||||
\(555\) | 9.33848 | + | 49.5097i | 0.396396 | + | 2.10157i | ||||
\(556\) | −45.9061 | −1.94685 | ||||||||
\(557\) | 15.5958i | 0.660814i | 0.943839 | + | 0.330407i | \(0.107186\pi\) | ||||
−0.943839 | + | 0.330407i | \(0.892814\pi\) | |||||||
\(558\) | 18.6770 | + | 47.7483i | 0.790659 | + | 2.02135i | ||||
\(559\) | −36.1576 | −1.52930 | ||||||||
\(560\) | − | 24.9320i | − | 1.05357i | ||||||
\(561\) | −17.3253 | + | 3.26788i | −0.731474 | + | 0.137970i | ||||
\(562\) | − | 42.5985i | − | 1.79691i | ||||||
\(563\) | −4.27567 | −0.180198 | −0.0900990 | − | 0.995933i | \(-0.528718\pi\) | ||||
−0.0900990 | + | 0.995933i | \(0.528718\pi\) | |||||||
\(564\) | −12.5140 | − | 66.3452i | −0.526933 | − | 2.79364i | ||||
\(565\) | − | 17.0904i | − | 0.718998i | ||||||
\(566\) | 47.1179i | 1.98051i | ||||||||
\(567\) | −13.9826 | + | 12.9146i | −0.587212 | + | 0.542363i | ||||
\(568\) | − | 14.0775i | − | 0.590677i | ||||||
\(569\) | 39.7151 | 1.66495 | 0.832473 | − | 0.554066i | \(-0.186925\pi\) | ||||
0.832473 | + | 0.554066i | \(0.186925\pi\) | |||||||
\(570\) | 70.7187 | − | 13.3389i | 2.96208 | − | 0.558704i | ||||
\(571\) | − | 13.7313i | − | 0.574635i | −0.957835 | − | 0.287318i | \(-0.907236\pi\) | ||
0.957835 | − | 0.287318i | \(-0.0927635\pi\) | |||||||
\(572\) | 70.3254i | 2.94045i | ||||||||
\(573\) | 2.18869 | + | 11.6037i | 0.0914337 | + | 0.484753i | ||||
\(574\) | 1.50646i | 0.0628785i | ||||||||
\(575\) | 1.13659 | 0.0473990 | ||||||||
\(576\) | 18.1992 | − | 7.11868i | 0.758299 | − | 0.296612i | ||||
\(577\) | −7.00000 | −0.291414 | −0.145707 | − | 0.989328i | \(-0.546546\pi\) | ||||
−0.145707 | + | 0.989328i | \(0.546546\pi\) | |||||||
\(578\) | 22.7221 | 0.945115 | ||||||||
\(579\) | −2.17124 | − | 11.5113i | −0.0902338 | − | 0.478392i | ||||
\(580\) | −15.5397 | −0.645249 | ||||||||
\(581\) | 31.6957 | 1.31496 | ||||||||
\(582\) | 7.06905 | − | 1.33336i | 0.293022 | − | 0.0552695i | ||||
\(583\) | − | 33.9258i | − | 1.40506i | ||||||
\(584\) | − | 12.9371i | − | 0.535341i | ||||||
\(585\) | −32.8649 | + | 12.8553i | −1.35880 | + | 0.531499i | ||||
\(586\) | − | 26.6485i | − | 1.10084i | ||||||
\(587\) | −43.2074 | −1.78336 | −0.891680 | − | 0.452665i | \(-0.850473\pi\) | ||||
−0.891680 | + | 0.452665i | \(0.850473\pi\) | |||||||
\(588\) | 3.33848 | + | 17.6996i | 0.137677 | + | 0.729919i | ||||
\(589\) | − | 46.3237i | − | 1.90874i | ||||||
\(590\) | 40.4178 | + | 25.1713i | 1.66397 | + | 1.03629i | ||||
\(591\) | −2.31207 | + | 0.436101i | −0.0951059 | + | 0.0179388i | ||||
\(592\) | 54.5683i | 2.24274i | ||||||||
\(593\) | 2.79868i | 0.114928i | 0.998348 | + | 0.0574639i | \(0.0183014\pi\) | ||||
−0.998348 | + | 0.0574639i | \(0.981699\pi\) | |||||||
\(594\) | −24.8300 | − | 39.6674i | −1.01879 | − | 1.62757i | ||||
\(595\) | 14.8176 | 0.607461 | ||||||||
\(596\) | 41.7368 | 1.70961 | ||||||||
\(597\) | −2.53140 | − | 13.4207i | −0.103604 | − | 0.549274i | ||||
\(598\) | 10.2704i | 0.419987i | ||||||||
\(599\) | − | 24.6108i | − | 1.00557i | −0.864411 | − | 0.502786i | \(-0.832308\pi\) | ||
0.864411 | − | 0.502786i | \(-0.167692\pi\) | |||||||
\(600\) | 2.15604 | + | 11.4306i | 0.0880198 | + | 0.466654i | ||||
\(601\) | − | 28.4392i | − | 1.16006i | −0.814596 | − | 0.580029i | \(-0.803041\pi\) | ||
0.814596 | − | 0.580029i | \(-0.196959\pi\) | |||||||
\(602\) | 40.2979i | 1.64242i | ||||||||
\(603\) | −5.12811 | − | 13.1102i | −0.208833 | − | 0.533889i | ||||
\(604\) | − | 10.1791i | − | 0.414183i | ||||||
\(605\) | 5.67720i | 0.230811i | ||||||||
\(606\) | −4.37737 | − | 23.2075i | −0.177819 | − | 0.942740i | ||||
\(607\) | −13.3510 | −0.541899 | −0.270949 | − | 0.962594i | \(-0.587338\pi\) | ||||
−0.270949 | + | 0.962594i | \(0.587338\pi\) | |||||||
\(608\) | 7.83700 | 0.317832 | ||||||||
\(609\) | −5.42274 | + | 1.02283i | −0.219741 | + | 0.0414472i | ||||
\(610\) | 61.5195 | 2.49085 | ||||||||
\(611\) | − | 44.4512i | − | 1.79830i | ||||||
\(612\) | −12.5683 | − | 32.1313i | −0.508043 | − | 1.29883i | ||||
\(613\) | − | 7.45046i | − | 0.300921i | −0.988616 | − | 0.150461i | \(-0.951924\pi\) | ||
0.988616 | − | 0.150461i | \(-0.0480757\pi\) | |||||||
\(614\) | −2.52092 | −0.101736 | ||||||||
\(615\) | −0.231819 | − | 1.22904i | −0.00934786 | − | 0.0495595i | ||||
\(616\) | 40.2834 | 1.62307 | ||||||||
\(617\) | − | 25.5450i | − | 1.02840i | −0.857669 | − | 0.514202i | \(-0.828088\pi\) | ||
0.857669 | − | 0.514202i | \(-0.171912\pi\) | |||||||
\(618\) | 52.1810 | − | 9.84233i | 2.09903 | − | 0.395917i | ||||
\(619\) | −8.78267 | −0.353005 | −0.176503 | − | 0.984300i | \(-0.556478\pi\) | ||||
−0.176503 | + | 0.984300i | \(0.556478\pi\) | |||||||
\(620\) | 71.2919 | 2.86315 | ||||||||
\(621\) | −2.44018 | − | 3.89833i | −0.0979212 | − | 0.156435i | ||||
\(622\) | − | 11.9698i | − | 0.479947i | ||||||
\(623\) | 12.5466 | 0.502669 | ||||||||
\(624\) | −37.5591 | + | 7.08436i | −1.50357 | + | 0.283601i | ||||
\(625\) | −29.7717 | −1.19087 | ||||||||
\(626\) | − | 39.6674i | − | 1.58543i | ||||||
\(627\) | 7.83700 | + | 41.5494i | 0.312980 | + | 1.65932i | ||||
\(628\) | 49.9671i | 1.99390i | ||||||||
\(629\) | −32.4310 | −1.29311 | ||||||||
\(630\) | 14.3273 | + | 36.6282i | 0.570812 | + | 1.45930i | ||||
\(631\) | 29.6282 | 1.17948 | 0.589739 | − | 0.807594i | \(-0.299231\pi\) | ||||
0.589739 | + | 0.807594i | \(0.299231\pi\) | |||||||
\(632\) | −18.6615 | −0.742315 | ||||||||
\(633\) | 30.0062 | − | 5.65975i | 1.19264 | − | 0.224955i | ||||
\(634\) | 42.7716i | 1.69868i | ||||||||
\(635\) | 40.5490i | 1.60914i | ||||||||
\(636\) | 65.2396 | − | 12.3054i | 2.58692 | − | 0.487942i | ||||
\(637\) | 11.8587i | 0.469859i | ||||||||
\(638\) | − | 13.5676i | − | 0.537145i | ||||||
\(639\) | 2.94166 | + | 7.52046i | 0.116370 | + | 0.297505i | ||||
\(640\) | − | 46.2419i | − | 1.82787i | ||||||
\(641\) | 41.4501i | 1.63718i | 0.574378 | + | 0.818590i | \(0.305244\pi\) | ||||
−0.574378 | + | 0.818590i | \(0.694756\pi\) | |||||||
\(642\) | −20.9624 | + | 3.95391i | −0.827320 | + | 0.156048i | ||||
\(643\) | −9.82228 | −0.387353 | −0.193677 | − | 0.981065i | \(-0.562041\pi\) | ||||
−0.193677 | + | 0.981065i | \(0.562041\pi\) | |||||||
\(644\) | 7.70265 | 0.303527 | ||||||||
\(645\) | −6.20117 | − | 32.8767i | −0.244171 | − | 1.29452i | ||||
\(646\) | 46.3237i | 1.82258i | ||||||||
\(647\) | 37.0749i | 1.45757i | 0.684744 | + | 0.728783i | \(0.259914\pi\) | ||||
−0.684744 | + | 0.728783i | \(0.740086\pi\) | |||||||
\(648\) | 34.5765 | − | 31.9357i | 1.35829 | − | 1.25455i | ||||
\(649\) | −14.7889 | + | 23.7467i | −0.580516 | + | 0.932139i | ||||
\(650\) | 14.9009i | 0.584462i | ||||||||
\(651\) | 24.8781 | − | 4.69249i | 0.975051 | − | 0.183913i | ||||
\(652\) | −20.1817 | −0.790377 | ||||||||
\(653\) | 25.7924i | 1.00933i | 0.863314 | + | 0.504666i | \(0.168385\pi\) | ||||
−0.863314 | + | 0.504666i | \(0.831615\pi\) | |||||||
\(654\) | 22.0194 | − | 4.15329i | 0.861029 | − | 0.162406i | ||||
\(655\) | − | 3.52283i | − | 0.137648i | ||||||
\(656\) | − | 1.35461i | − | 0.0528886i | ||||||
\(657\) | 2.70337 | + | 6.91126i | 0.105468 | + | 0.269634i | ||||
\(658\) | −49.5412 | −1.93132 | ||||||||
\(659\) | 14.5855 | 0.568171 | 0.284085 | − | 0.958799i | \(-0.408310\pi\) | ||||
0.284085 | + | 0.958799i | \(0.408310\pi\) | |||||||
\(660\) | −63.9442 | + | 12.0611i | −2.48903 | + | 0.469478i | ||||
\(661\) | −3.09947 | −0.120555 | −0.0602777 | − | 0.998182i | \(-0.519199\pi\) | ||||
−0.0602777 | + | 0.998182i | \(0.519199\pi\) | |||||||
\(662\) | −23.3749 | −0.908491 | ||||||||
\(663\) | −4.21037 | − | 22.3221i | −0.163517 | − | 0.866918i | ||||
\(664\) | −78.3782 | −3.04166 | ||||||||
\(665\) | − | 35.5354i | − | 1.37800i | ||||||
\(666\) | −31.3579 | − | 80.1677i | −1.21509 | − | 3.10644i | ||||
\(667\) | − | 1.33336i | − | 0.0516278i | ||||||
\(668\) | 39.8036i | 1.54005i | ||||||||
\(669\) | −6.60719 | − | 35.0293i | −0.255449 | − | 1.35431i | ||||
\(670\) | −29.0885 | −1.12379 | ||||||||
\(671\) | 36.1446i | 1.39535i | ||||||||
\(672\) | 0.793871 | + | 4.20886i | 0.0306242 | + | 0.162360i | ||||
\(673\) | 27.2988i | 1.05229i | 0.850394 | + | 0.526146i | \(0.176363\pi\) | ||||
−0.850394 | + | 0.526146i | \(0.823637\pi\) | |||||||
\(674\) | − | 62.8749i | − | 2.42185i | ||||||
\(675\) | −3.54037 | − | 5.65594i | −0.136269 | − | 0.217697i | ||||
\(676\) | −37.1142 | −1.42747 | ||||||||
\(677\) | − | 35.2355i | − | 1.35421i | −0.735887 | − | 0.677105i | \(-0.763234\pi\) | ||
0.735887 | − | 0.677105i | \(-0.236766\pi\) | |||||||
\(678\) | 5.41226 | + | 28.6941i | 0.207857 | + | 1.10199i | ||||
\(679\) | − | 3.55213i | − | 0.136318i | ||||||
\(680\) | −36.6414 | −1.40513 | ||||||||
\(681\) | 6.43171 | + | 34.0989i | 0.246463 | + | 1.30667i | ||||
\(682\) | 62.2445i | 2.38346i | ||||||||
\(683\) | 8.38433 | 0.320818 | 0.160409 | − | 0.987051i | \(-0.448719\pi\) | ||||
0.160409 | + | 0.987051i | \(0.448719\pi\) | |||||||
\(684\) | −77.0571 | + | 30.1412i | −2.94635 | + | 1.15248i | ||||
\(685\) | 39.3246 | 1.50251 | ||||||||
\(686\) | 49.8253 | 1.90234 | ||||||||
\(687\) | −8.47060 | + | 1.59772i | −0.323174 | + | 0.0609567i | ||||
\(688\) | − | 36.2358i | − | 1.38148i | ||||||
\(689\) | 43.7104 | 1.66523 | ||||||||
\(690\) | −9.33848 | + | 1.76141i | −0.355510 | + | 0.0670559i | ||||
\(691\) | 0.346208i | 0.0131704i | 0.999978 | + | 0.00658518i | \(0.00209614\pi\) | ||||
−0.999978 | + | 0.00658518i | \(0.997904\pi\) | |||||||
\(692\) | 14.7889 | 0.562190 | ||||||||
\(693\) | −21.5202 | + | 8.41772i | −0.817485 | + | 0.319763i | ||||
\(694\) | 41.9402 | 1.59203 | ||||||||
\(695\) | − | 27.9662i | − | 1.06082i | ||||||
\(696\) | 13.4095 | − | 2.52929i | 0.508287 | − | 0.0958726i | ||||
\(697\) | 0.805070 | 0.0304942 | ||||||||
\(698\) | 19.0542i | 0.721212i | ||||||||
\(699\) | −2.78963 | − | 14.7898i | −0.105514 | − | 0.559401i | ||||
\(700\) | 11.1755 | 0.422394 | ||||||||
\(701\) | −5.66376 | −0.213917 | −0.106959 | − | 0.994263i | \(-0.534111\pi\) | ||||
−0.106959 | + | 0.994263i | \(0.534111\pi\) | |||||||
\(702\) | 51.1079 | − | 31.9913i | 1.92895 | − | 1.20743i | ||||
\(703\) | 77.7758i | 2.93337i | ||||||||
\(704\) | 23.7243 | 0.894144 | ||||||||
\(705\) | 40.4178 | − | 7.62356i | 1.52222 | − | 0.287120i | ||||
\(706\) | 9.37666 | 0.352895 | ||||||||
\(707\) | −11.6615 | −0.438577 | ||||||||
\(708\) | −51.0292 | − | 19.8259i | −1.91780 | − | 0.745102i | ||||
\(709\) | −12.5723 | −0.472163 | −0.236081 | − | 0.971733i | \(-0.575863\pi\) | ||||
−0.236081 | + | 0.971733i | \(0.575863\pi\) | |||||||
\(710\) | 16.6862 | 0.626220 | ||||||||
\(711\) | 9.96935 | − | 3.89955i | 0.373880 | − | 0.146245i | ||||
\(712\) | −31.0257 | −1.16274 | ||||||||
\(713\) | 6.11710i | 0.229087i | ||||||||
\(714\) | −24.8781 | + | 4.69249i | −0.931041 | + | 0.175612i | ||||
\(715\) | −42.8425 | −1.60222 | ||||||||
\(716\) | −49.9061 | −1.86508 | ||||||||
\(717\) | −12.4491 | + | 2.34815i | −0.464922 | + | 0.0876931i | ||||
\(718\) | − | 20.8156i | − | 0.776832i | ||||||
\(719\) | 19.7655 | 0.737127 | 0.368564 | − | 0.929603i | \(-0.379850\pi\) | ||||
0.368564 | + | 0.929603i | \(0.379850\pi\) | |||||||
\(720\) | −12.8831 | − | 32.9361i | −0.480124 | − | 1.22746i | ||||
\(721\) | − | 26.2204i | − | 0.976499i | ||||||
\(722\) | 64.1095 | 2.38591 | ||||||||
\(723\) | −8.50972 | − | 45.1159i | −0.316480 | − | 1.67788i | ||||
\(724\) | 17.8781 | 0.664436 | ||||||||
\(725\) | − | 1.93452i | − | 0.0718462i | ||||||
\(726\) | −1.79788 | − | 9.53180i | −0.0667256 | − | 0.353758i | ||||
\(727\) | 18.8495 | 0.699089 | 0.349544 | − | 0.936920i | \(-0.386336\pi\) | ||||
0.349544 | + | 0.936920i | \(0.386336\pi\) | |||||||
\(728\) | 51.9016i | 1.92360i | ||||||||
\(729\) | −11.7981 | + | 24.2859i | −0.436967 | + | 0.899478i | ||||
\(730\) | 15.3345 | 0.567554 | ||||||||
\(731\) | 21.5356 | 0.796525 | ||||||||
\(732\) | −69.5063 | + | 13.1102i | −2.56903 | + | 0.484567i | ||||
\(733\) | 45.8146 | 1.69220 | 0.846101 | − | 0.533023i | \(-0.178944\pi\) | ||||
0.846101 | + | 0.533023i | \(0.178944\pi\) | |||||||
\(734\) | − | 0.630457i | − | 0.0232706i | ||||||
\(735\) | −10.7827 | + | 2.03382i | −0.397725 | + | 0.0750185i | ||||
\(736\) | −1.03489 | −0.0381464 | ||||||||
\(737\) | − | 17.0904i | − | 0.629533i | ||||||
\(738\) | 0.778432 | + | 1.99009i | 0.0286545 | + | 0.0732563i | ||||
\(739\) | 35.8896i | 1.32022i | 0.751168 | + | 0.660111i | \(0.229491\pi\) | ||||
−0.751168 | + | 0.660111i | \(0.770509\pi\) | |||||||
\(740\) | −119.696 | −4.40013 | ||||||||
\(741\) | −53.5327 | + | 10.0973i | −1.96657 | + | 0.370933i | ||||
\(742\) | − | 48.7156i | − | 1.78841i | ||||||
\(743\) | − | 30.3737i | − | 1.11430i | −0.830411 | − | 0.557151i | \(-0.811894\pi\) | ||
0.830411 | − | 0.557151i | \(-0.188106\pi\) | |||||||
\(744\) | −61.5195 | + | 11.6037i | −2.25541 | + | 0.425414i | ||||
\(745\) | 25.4263i | 0.931546i | ||||||||
\(746\) | −8.00223 | −0.292983 | ||||||||
\(747\) | 41.8712 | − | 16.3781i | 1.53199 | − | 0.599243i | ||||
\(748\) | − | 41.8862i | − | 1.53151i | ||||||
\(749\) | 10.5334i | 0.384881i | ||||||||
\(750\) | 39.2054 | − | 7.39489i | 1.43158 | − | 0.270023i | ||||
\(751\) | 49.0817i | 1.79102i | 0.445045 | + | 0.895508i | \(0.353188\pi\) | ||||
−0.445045 | + | 0.895508i | \(0.646812\pi\) | |||||||
\(752\) | 44.5474 | 1.62448 | ||||||||
\(753\) | −43.7667 | + | 8.25524i | −1.59495 | + | 0.300838i | ||||
\(754\) | 17.4806 | 0.636606 | ||||||||
\(755\) | 6.20117 | 0.225684 | ||||||||
\(756\) | −23.9930 | − | 38.3303i | −0.872618 | − | 1.39406i | ||||
\(757\) | 45.0272 | 1.63654 | 0.818271 | − | 0.574833i | \(-0.194933\pi\) | ||||
0.818271 | + | 0.574833i | \(0.194933\pi\) | |||||||
\(758\) | −15.0675 | −0.547278 | ||||||||
\(759\) | −1.03489 | − | 5.48664i | −0.0375640 | − | 0.199153i | ||||
\(760\) | 87.8731i | 3.18749i | ||||||||
\(761\) | 32.5225i | 1.17894i | 0.807791 | + | 0.589469i | \(0.200663\pi\) | ||||
−0.807791 | + | 0.589469i | \(0.799337\pi\) | |||||||
\(762\) | −12.8412 | − | 68.0803i | −0.465189 | − | 2.46629i | ||||
\(763\) | − | 11.0645i | − | 0.400563i | ||||||
\(764\) | −28.0536 | −1.01494 | ||||||||
\(765\) | 19.5745 | − | 7.65666i | 0.707719 | − | 0.276827i | ||||
\(766\) | − | 74.5079i | − | 2.69208i | ||||||
\(767\) | −30.5955 | − | 19.0542i | −1.10474 | − | 0.688007i | ||||
\(768\) | 10.4616 | + | 55.4644i | 0.377502 | + | 2.00140i | ||||
\(769\) | − | 13.1921i | − | 0.475718i | −0.971300 | − | 0.237859i | \(-0.923554\pi\) | ||
0.971300 | − | 0.237859i | \(-0.0764456\pi\) | |||||||
\(770\) | 47.7483i | 1.72073i | ||||||||
\(771\) | 31.3941 | − | 5.92152i | 1.13063 | − | 0.213258i | ||||
\(772\) | 27.8300 | 1.00163 | ||||||||
\(773\) | −8.05585 | −0.289749 | −0.144874 | − | 0.989450i | \(-0.546278\pi\) | ||||
−0.144874 | + | 0.989450i | \(0.546278\pi\) | |||||||
\(774\) | 20.8231 | + | 53.2350i | 0.748470 | + | 1.91349i | ||||
\(775\) | 8.87507i | 0.318802i | ||||||||
\(776\) | 8.78382i | 0.315321i | ||||||||
\(777\) | −41.7695 | + | 7.87852i | −1.49847 | + | 0.282640i | ||||
\(778\) | 39.6967i | 1.42320i | ||||||||
\(779\) | − | 1.93072i | − | 0.0691750i | ||||||
\(780\) | −15.5397 | − | 82.3865i | −0.556409 | − | 2.94991i | ||||
\(781\) | 9.80363i | 0.350801i | ||||||||
\(782\) | − | 6.11710i | − | 0.218747i | ||||||
\(783\) | −6.63511 | + | 4.15329i | −0.237120 | + | 0.148426i | ||||
\(784\) | −11.8844 | −0.424442 | ||||||||
\(785\) | −30.4402 | −1.08646 | ||||||||
\(786\) | 1.11562 | + | 5.91470i | 0.0397930 | + | 0.210970i | ||||
\(787\) | −55.0140 | −1.96104 | −0.980519 | − | 0.196426i | \(-0.937067\pi\) | ||||
−0.980519 | + | 0.196426i | \(0.937067\pi\) | |||||||
\(788\) | − | 5.58975i | − | 0.199126i | ||||||
\(789\) | 15.8343 | − | 2.98665i | 0.563715 | − | 0.106327i | ||||
\(790\) | − | 22.1197i | − | 0.786983i | ||||||
\(791\) | 14.4185 | 0.512663 | ||||||||
\(792\) | 53.2159 | − | 20.8156i | 1.89094 | − | 0.739651i | ||||
\(793\) | −46.5691 | −1.65372 | ||||||||
\(794\) | 45.7845i | 1.62483i | ||||||||
\(795\) | 7.49652 | + | 39.7442i | 0.265874 | + | 1.40958i | ||||
\(796\) | 32.4464 | 1.15003 | ||||||||
\(797\) | 40.9053 | 1.44894 | 0.724471 | − | 0.689306i | \(-0.242084\pi\) | ||||
0.724471 | + | 0.689306i | \(0.242084\pi\) | |||||||
\(798\) | 11.2535 | + | 59.6626i | 0.398370 | + | 2.11203i | ||||
\(799\) | 26.4754i | 0.936631i | ||||||||
\(800\) | −1.50148 | −0.0530852 | ||||||||
\(801\) | 16.5745 | − | 6.48320i | 0.585632 | − | 0.229073i | ||||
\(802\) | 75.5676 | 2.66838 | ||||||||
\(803\) | 9.00947i | 0.317937i | ||||||||
\(804\) | 32.8649 | − | 6.19895i | 1.15906 | − | 0.218620i | ||||
\(805\) | 4.69249i | 0.165388i | ||||||||
\(806\) | −80.1964 | −2.82480 | ||||||||
\(807\) | −2.39209 | − | 12.6821i | −0.0842057 | − | 0.446433i | ||||
\(808\) | 28.8370 | 1.01448 | ||||||||
\(809\) | 2.58998 | 0.0910587 | 0.0455294 | − | 0.998963i | \(-0.485503\pi\) | ||||
0.0455294 | + | 0.998963i | \(0.485503\pi\) | |||||||
\(810\) | 37.8537 | + | 40.9839i | 1.33004 | + | 1.44003i | ||||
\(811\) | 13.4763i | 0.473217i | 0.971605 | + | 0.236609i | \(0.0760359\pi\) | ||||
−0.971605 | + | 0.236609i | \(0.923964\pi\) | |||||||
\(812\) | − | 13.1102i | − | 0.460078i | ||||||
\(813\) | 1.79164 | + | 9.49870i | 0.0628354 | + | 0.333134i | ||||
\(814\) | − | 104.506i | − | 3.66294i | ||||||
\(815\) | − | 12.2948i | − | 0.430668i | ||||||
\(816\) | 22.3704 | − | 4.21948i | 0.783121 | − | 0.147712i | ||||
\(817\) | − | 51.6467i | − | 1.80689i | ||||||
\(818\) | − | 79.7396i | − | 2.78803i | ||||||
\(819\) | −10.8455 | − | 27.7269i | −0.378972 | − | 0.968855i | ||||
\(820\) | 2.97136 | 0.103764 | ||||||||
\(821\) | 27.4853 | 0.959244 | 0.479622 | − | 0.877475i | \(-0.340774\pi\) | ||||
0.479622 | + | 0.877475i | \(0.340774\pi\) | |||||||
\(822\) | −66.0245 | + | 12.4535i | −2.30287 | + | 0.434365i | ||||
\(823\) | − | 37.2850i | − | 1.29967i | −0.760075 | − | 0.649836i | \(-0.774838\pi\) | ||
0.760075 | − | 0.649836i | \(-0.225162\pi\) | |||||||
\(824\) | 64.8387i | 2.25876i | ||||||||
\(825\) | −1.50148 | − | 7.96036i | −0.0522747 | − | 0.277144i | ||||
\(826\) | −21.2361 | + | 34.0989i | −0.738897 | + | 1.18645i | ||||
\(827\) | 12.2091i | 0.424554i | 0.977210 | + | 0.212277i | \(0.0680878\pi\) | ||||
−0.977210 | + | 0.212277i | \(0.931912\pi\) | |||||||
\(828\) | 10.1755 | − | 3.98018i | 0.353622 | − | 0.138321i | ||||
\(829\) | 24.8991 | 0.864781 | 0.432391 | − | 0.901686i | \(-0.357670\pi\) | ||||
0.432391 | + | 0.901686i | \(0.357670\pi\) | |||||||
\(830\) | − | 92.9024i | − | 3.22469i | ||||||
\(831\) | 8.27367 | + | 43.8644i | 0.287010 | + | 1.52164i | ||||
\(832\) | 30.5667i | 1.05971i | ||||||||
\(833\) | − | 7.06311i | − | 0.244722i | ||||||
\(834\) | 8.85645 | + | 46.9542i | 0.306674 | + | 1.62589i | ||||
\(835\) | −24.2485 | −0.839155 | ||||||||
\(836\) | −100.451 | −3.47418 | ||||||||
\(837\) | 30.4402 | − | 19.0542i | 1.05217 | − | 0.658610i | ||||
\(838\) | 49.8216 | 1.72106 | ||||||||
\(839\) | 11.9666 | 0.413134 | 0.206567 | − | 0.978432i | \(-0.433771\pi\) | ||||
0.206567 | + | 0.978432i | \(0.433771\pi\) | |||||||
\(840\) | −47.1922 | + | 8.90135i | −1.62829 | + | 0.307126i | ||||
\(841\) | 26.7306 | 0.921744 | ||||||||
\(842\) | 57.1626i | 1.96995i | ||||||||
\(843\) | −29.3203 | + | 5.53037i | −1.00985 | + | 0.190476i | ||||
\(844\) | 72.5441i | 2.49707i | ||||||||
\(845\) | − | 22.6101i | − | 0.777812i | ||||||
\(846\) | −65.4457 | + | 25.5994i | −2.25007 | + | 0.880124i | ||||
\(847\) | −4.78963 | −0.164574 | ||||||||
\(848\) | 43.8051i | 1.50427i | ||||||||
\(849\) | 32.4310 | − | 6.11710i | 1.11303 | − | 0.209938i | ||||
\(850\) | − | 8.87507i | − | 0.304412i | ||||||
\(851\) | − | 10.2704i | − | 0.352064i | ||||||
\(852\) | −18.8524 | + | 3.55593i | −0.645874 | + | 0.121824i | ||||
\(853\) | 32.0426 | 1.09712 | 0.548560 | − | 0.836111i | \(-0.315176\pi\) | ||||
0.548560 | + | 0.836111i | \(0.315176\pi\) | |||||||
\(854\) | 51.9016i | 1.77604i | ||||||||
\(855\) | −18.3622 | − | 46.9436i | −0.627973 | − | 1.60544i | ||||
\(856\) | − | 26.0473i | − | 0.890279i | ||||||
\(857\) | −26.8036 | −0.915595 | −0.457797 | − | 0.889057i | \(-0.651361\pi\) | ||||
−0.457797 | + | 0.889057i | \(0.651361\pi\) | |||||||
\(858\) | 71.9310 | − | 13.5676i | 2.45568 | − | 0.463189i | ||||
\(859\) | − | 21.7829i | − | 0.743222i | −0.928389 | − | 0.371611i | \(-0.878805\pi\) | ||
0.928389 | − | 0.371611i | \(-0.121195\pi\) | |||||||
\(860\) | 79.4839 | 2.71038 | ||||||||
\(861\) | 1.03689 | − | 0.195577i | 0.0353371 | − | 0.00666525i | ||||
\(862\) | −52.1003 | −1.77454 | ||||||||
\(863\) | −15.7221 | −0.535186 | −0.267593 | − | 0.963532i | \(-0.586228\pi\) | ||||
−0.267593 | + | 0.963532i | \(0.586228\pi\) | |||||||
\(864\) | 3.22357 | + | 5.14984i | 0.109668 | + | 0.175201i | ||||
\(865\) | 9.00947i | 0.306331i | ||||||||
\(866\) | 30.0062 | 1.01965 | ||||||||
\(867\) | −2.94991 | − | 15.6395i | −0.100184 | − | 0.531145i | ||||
\(868\) | 60.1462i | 2.04150i | ||||||||
\(869\) | 12.9960 | 0.440859 | ||||||||
\(870\) | 2.99800 | + | 15.8945i | 0.101642 | + | 0.538872i | ||||
\(871\) | 22.0194 | 0.746100 | ||||||||
\(872\) | 27.3608i | 0.926553i | ||||||||
\(873\) | −1.83549 | − | 4.69249i | −0.0621218 | − | 0.158817i | ||||
\(874\) | −14.6700 | −0.496220 | ||||||||
\(875\) | − | 19.7003i | − | 0.665992i | ||||||
\(876\) | −17.3253 | + | 3.26788i | −0.585367 | + | 0.110411i | ||||
\(877\) | 18.8719 | 0.637258 | 0.318629 | − | 0.947879i | \(-0.396778\pi\) | ||||
0.318629 | + | 0.947879i | \(0.396778\pi\) | |||||||
\(878\) | 58.9604 | 1.98982 | ||||||||
\(879\) | −18.3420 | + | 3.45965i | −0.618660 | + | 0.116691i | ||||
\(880\) | − | 42.9353i | − | 1.44735i | ||||||
\(881\) | −28.7717 | −0.969343 | −0.484672 | − | 0.874696i | \(-0.661061\pi\) | ||||
−0.484672 | + | 0.874696i | \(0.661061\pi\) | |||||||
\(882\) | 17.4596 | − | 6.82941i | 0.587896 | − | 0.229958i | ||||
\(883\) | −4.64207 | −0.156218 | −0.0781091 | − | 0.996945i | \(-0.524888\pi\) | ||||
−0.0781091 | + | 0.996945i | \(0.524888\pi\) | |||||||
\(884\) | 53.9666 | 1.81509 | ||||||||
\(885\) | 12.0780 | − | 31.0872i | 0.405998 | − | 1.04499i | ||||
\(886\) | −54.5830 | −1.83375 | ||||||||
\(887\) | 23.9930 | 0.805607 | 0.402804 | − | 0.915286i | \(-0.368036\pi\) | ||||
0.402804 | + | 0.915286i | \(0.368036\pi\) | |||||||
\(888\) | 103.289 | − | 19.4823i | 3.46615 | − | 0.653782i | ||||
\(889\) | −34.2097 | −1.14735 | ||||||||
\(890\) | − | 36.7750i | − | 1.23270i | ||||||
\(891\) | −24.0793 | + | 22.2402i | −0.806687 | + | 0.745076i | ||||
\(892\) | 84.6880 | 2.83556 | ||||||||
\(893\) | 63.4931 | 2.12471 | ||||||||
\(894\) | −8.05210 | − | 42.6897i | −0.269302 | − | 1.42776i | ||||
\(895\) | − | 30.4030i | − | 1.01626i | ||||||
\(896\) | 39.0125 | 1.30332 | ||||||||
\(897\) | 7.06905 | − | 1.33336i | 0.236029 | − | 0.0445195i | ||||
\(898\) | − | 41.2944i | − | 1.37801i | ||||||
\(899\) | 10.4115 | 0.347244 | ||||||||
\(900\) | 14.7632 | − | 5.77470i | 0.492107 | − | 0.192490i | ||||
\(901\) | −26.0342 | −0.867324 | ||||||||
\(902\) | 2.59427i | 0.0863798i | ||||||||
\(903\) | 27.7368 | − | 5.23169i | 0.923023 | − | 0.174100i | ||||
\(904\) | −35.6546 | −1.18585 | ||||||||
\(905\) | 10.8914i | 0.362044i | ||||||||
\(906\) | −10.4115 | + | 1.96381i | −0.345900 | + | 0.0652434i | ||||
\(907\) | 1.71585 | 0.0569740 | 0.0284870 | − | 0.999594i | \(-0.490931\pi\) | ||||
0.0284870 | + | 0.999594i | \(0.490931\pi\) | |||||||
\(908\) | −82.4387 | −2.73583 | ||||||||
\(909\) | −15.4053 | + | 6.02585i | −0.510961 | + | 0.199865i | ||||
\(910\) | −61.5195 | −2.03935 | ||||||||
\(911\) | 18.6881i | 0.619165i | 0.950873 | + | 0.309582i | \(0.100189\pi\) | ||||
−0.950873 | + | 0.309582i | \(0.899811\pi\) | |||||||
\(912\) | −10.1191 | − | 53.6486i | −0.335078 | − | 1.77648i | ||||
\(913\) | 54.5830 | 1.80643 | ||||||||
\(914\) | − | 2.59427i | − | 0.0858109i | ||||||
\(915\) | −7.98680 | − | 42.3435i | −0.264035 | − | 1.39983i | ||||
\(916\) | − | 20.4788i | − | 0.676639i | ||||||
\(917\) | 2.97208 | 0.0981466 | ||||||||
\(918\) | −30.4402 | + | 19.0542i | −1.00468 | + | 0.628882i | ||||
\(919\) | 59.3228i | 1.95688i | 0.206536 | + | 0.978439i | \(0.433781\pi\) | ||||
−0.206536 | + | 0.978439i | \(0.566219\pi\) | |||||||
\(920\) | − | 11.6037i | − | 0.382564i | ||||||
\(921\) | 0.327280 | + | 1.73514i | 0.0107842 | + | 0.0571747i | ||||
\(922\) | 10.7803i | 0.355030i | ||||||||
\(923\) | −12.6311 | −0.415758 | ||||||||
\(924\) | −10.1755 | − | 53.9473i | −0.334749 | − | 1.77474i | ||||
\(925\) | − | 14.9009i | − | 0.489939i | ||||||
\(926\) | 17.7208i | 0.582343i | ||||||||
\(927\) | −13.5488 | − | 34.6381i | −0.445003 | − | 1.13767i | ||||
\(928\) | 1.76141i | 0.0578213i | ||||||||
\(929\) | −31.7493 | −1.04166 | −0.520830 | − | 0.853660i | \(-0.674378\pi\) | ||||
−0.520830 | + | 0.853660i | \(0.674378\pi\) | |||||||
\(930\) | −13.7540 | − | 72.9196i | −0.451012 | − | 2.39113i | ||||
\(931\) | −16.9387 | −0.555144 | ||||||||
\(932\) | 35.7563 | 1.17124 | ||||||||
\(933\) | −8.23878 | + | 1.55399i | −0.269726 | + | 0.0508754i | ||||
\(934\) | 31.6476 | 1.03554 | ||||||||
\(935\) | 25.5173 | 0.834503 | ||||||||
\(936\) | 26.8191 | + | 68.5640i | 0.876609 | + | 2.24108i | ||||
\(937\) | 33.9258i | 1.10831i | 0.832414 | + | 0.554154i | \(0.186958\pi\) | ||||
−0.832414 | + | 0.554154i | \(0.813042\pi\) | |||||||
\(938\) | − | 24.5408i | − | 0.801287i | ||||||
\(939\) | −27.3029 | + | 5.14984i | −0.890996 | + | 0.168059i | ||||
\(940\) | 97.7154i | 3.18713i | ||||||||
\(941\) | −52.5613 | −1.71345 | −0.856725 | − | 0.515773i | \(-0.827505\pi\) | ||||
−0.856725 | + | 0.515773i | \(0.827505\pi\) | |||||||
\(942\) | 51.1079 | − | 9.63993i | 1.66519 | − | 0.314086i | ||||
\(943\) | 0.254953i | 0.00830242i | ||||||||
\(944\) | 19.0955 | − | 30.6618i | 0.621504 | − | 0.997955i | ||||
\(945\) | 23.3510 | − | 14.6167i | 0.759607 | − | 0.475480i | ||||
\(946\) | 69.3968i | 2.25628i | ||||||||
\(947\) | − | 52.5227i | − | 1.70676i | −0.521291 | − | 0.853379i | \(-0.674550\pi\) | ||
0.521291 | − | 0.853379i | \(-0.325450\pi\) | |||||||
\(948\) | 4.71385 | + | 24.9914i | 0.153099 | + | 0.811682i | ||||
\(949\) | −11.6079 | −0.376809 | ||||||||
\(950\) | −21.2841 | −0.690549 | ||||||||
\(951\) | 29.4395 | − | 5.55284i | 0.954640 | − | 0.180063i | ||||
\(952\) | − | 30.9129i | − | 1.00189i | ||||||
\(953\) | 58.2368i | 1.88647i | 0.332120 | + | 0.943237i | \(0.392236\pi\) | ||||
−0.332120 | + | 0.943237i | \(0.607764\pi\) | |||||||
\(954\) | −25.1728 | − | 64.3551i | −0.814998 | − | 2.08357i | ||||
\(955\) | − | 17.0904i | − | 0.553032i | ||||||
\(956\) | − | 30.0975i | − | 0.973422i | ||||||
\(957\) | −9.33848 | + | 1.76141i | −0.301870 | + | 0.0569384i | ||||
\(958\) | − | 52.9800i | − | 1.71171i | ||||||
\(959\) | 33.1766i | 1.07133i | ||||||||
\(960\) | −27.7932 | + | 5.24232i | −0.897020 | + | 0.169195i | ||||
\(961\) | −16.7655 | −0.540821 | ||||||||
\(962\) | 134.647 | 4.34119 | ||||||||
\(963\) | 5.44290 | + | 13.9150i | 0.175395 | + | 0.448404i | ||||
\(964\) | 109.074 | 3.51303 | ||||||||
\(965\) | 16.9542i | 0.545775i | ||||||||
\(966\) | −1.48604 | − | 7.87852i | −0.0478125 | − | 0.253487i | ||||
\(967\) | − | 2.56498i | − | 0.0824840i | −0.999149 | − | 0.0412420i | \(-0.986869\pi\) | ||
0.999149 | − | 0.0412420i | \(-0.0131315\pi\) | |||||||
\(968\) | 11.8440 | 0.380679 | ||||||||
\(969\) | 31.8844 | − | 6.01400i | 1.02427 | − | 0.193197i | ||||
\(970\) | −10.4115 | −0.334294 | ||||||||
\(971\) | − | 13.3770i | − | 0.429289i | −0.976692 | − | 0.214644i | \(-0.931141\pi\) | ||
0.976692 | − | 0.214644i | \(-0.0688592\pi\) | |||||||
\(972\) | −51.5020 | − | 38.2378i | −1.65193 | − | 1.22648i | ||||
\(973\) | 23.5940 | 0.756388 | ||||||||
\(974\) | −80.0621 | −2.56535 | ||||||||
\(975\) | 10.2562 | − | 1.93452i | 0.328462 | − | 0.0619542i | ||||
\(976\) | − | 46.6699i | − | 1.49387i | ||||||
\(977\) | −18.7787 | −0.600783 | −0.300391 | − | 0.953816i | \(-0.597117\pi\) | ||||
−0.300391 | + | 0.953816i | \(0.597117\pi\) | |||||||
\(978\) | 3.89357 | + | 20.6425i | 0.124503 | + | 0.660075i | ||||
\(979\) | 21.6065 | 0.690546 | ||||||||
\(980\) | − | 26.0686i | − | 0.832730i | ||||||
\(981\) | −5.71737 | − | 14.6167i | −0.182542 | − | 0.466674i | ||||
\(982\) | 51.5648i | 1.64550i | ||||||||
\(983\) | 6.18396 | 0.197238 | 0.0986189 | − | 0.995125i | \(-0.468558\pi\) | ||||
0.0986189 | + | 0.995125i | \(0.468558\pi\) | |||||||
\(984\) | −2.56406 | + | 0.483630i | −0.0817391 | + | 0.0154175i | ||||
\(985\) | 3.40530 | 0.108502 | ||||||||
\(986\) | −10.4115 | −0.331571 | ||||||||
\(987\) | 6.43171 | + | 34.0989i | 0.204723 | + | 1.08538i | ||||
\(988\) | − | 129.422i | − | 4.11748i | ||||||
\(989\) | 6.82000i | 0.216863i | ||||||||
\(990\) | 24.6730 | + | 63.0773i | 0.784158 | + | 2.00473i | ||||
\(991\) | − | 20.6425i | − | 0.655731i | −0.944724 | − | 0.327866i | \(-0.893671\pi\) | ||
0.944724 | − | 0.327866i | \(-0.106329\pi\) | |||||||
\(992\) | − | 8.08092i | − | 0.256569i | ||||||
\(993\) | 3.03465 | + | 16.0888i | 0.0963019 | + | 0.510563i | ||||
\(994\) | 14.0775i | 0.446510i | ||||||||
\(995\) | 19.7665i | 0.626640i | ||||||||
\(996\) | 19.7981 | + | 104.963i | 0.627327 | + | 3.32590i | ||||
\(997\) | 22.2485 | 0.704618 | 0.352309 | − | 0.935884i | \(-0.385397\pi\) | ||||
0.352309 | + | 0.935884i | \(0.385397\pi\) | |||||||
\(998\) | −10.0910 | −0.319425 | ||||||||
\(999\) | −51.1079 | + | 31.9913i | −1.61698 | + | 1.01216i |
(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 | 177.2.d.c.176.5 | yes | 6 | |
3.2 | odd | 2 | 177.2.d.a.176.2 | yes | 6 | ||
59.58 | odd | 2 | 177.2.d.a.176.1 | ✓ | 6 | ||
177.176 | even | 2 | inner | 177.2.d.c.176.6 | yes | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.d.a.176.1 | ✓ | 6 | 59.58 | odd | 2 | ||
177.2.d.a.176.2 | yes | 6 | 3.2 | odd | 2 | ||
177.2.d.c.176.5 | yes | 6 | 1.1 | even | 1 | trivial | |
177.2.d.c.176.6 | yes | 6 | 177.176 | even | 2 | inner |