Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [644,2,Mod(183,644)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(644, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("644.183");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 644 = 2^{2} \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 644.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.14236589017\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 183.21 | ||
Character | \(\chi\) | \(=\) | 644.183 |
Dual form | 644.2.c.a.183.22 |
$q$-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 \(\left(\mathbb{Z}/644\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) | \(323\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.425020 | − | 1.34884i | 0.300535 | − | 0.953771i | ||||
\(3\) | 1.30946i | 0.756020i | 0.925802 | + | 0.378010i | \(0.123391\pi\) | ||||
−0.925802 | + | 0.378010i | \(0.876609\pi\) | |||||||
\(4\) | −1.63872 | − | 1.14656i | −0.819358 | − | 0.573282i | ||||
\(5\) | 0.616901i | 0.275887i | 0.990440 | + | 0.137943i | \(0.0440492\pi\) | ||||
−0.990440 | + | 0.137943i | \(0.955951\pi\) | |||||||
\(6\) | 1.76625 | + | 0.556549i | 0.721070 | + | 0.227210i | ||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | −2.24301 | + | 1.72305i | −0.793025 | + | 0.609188i | ||||
\(9\) | 1.28530 | 0.428434 | ||||||||
\(10\) | 0.832098 | + | 0.262195i | 0.263133 | + | 0.0829135i | ||||
\(11\) | 1.66304 | 0.501426 | 0.250713 | − | 0.968061i | \(-0.419335\pi\) | ||||
0.250713 | + | 0.968061i | \(0.419335\pi\) | |||||||
\(12\) | 1.50139 | − | 2.14584i | 0.433413 | − | 0.619451i | ||||
\(13\) | 3.32836 | 0.923121 | 0.461561 | − | 0.887109i | \(-0.347290\pi\) | ||||
0.461561 | + | 0.887109i | \(0.347290\pi\) | |||||||
\(14\) | −0.425020 | + | 1.34884i | −0.113591 | + | 0.360492i | ||||
\(15\) | −0.807810 | −0.208576 | ||||||||
\(16\) | 1.37078 | + | 3.75779i | 0.342695 | + | 0.939447i | ||||
\(17\) | 7.61798i | 1.84763i | 0.382838 | + | 0.923816i | \(0.374947\pi\) | ||||
−0.382838 | + | 0.923816i | \(0.625053\pi\) | |||||||
\(18\) | 0.546279 | − | 1.73366i | 0.128759 | − | 0.408628i | ||||
\(19\) | −5.00998 | −1.14937 | −0.574684 | − | 0.818376i | \(-0.694875\pi\) | ||||
−0.574684 | + | 0.818376i | \(0.694875\pi\) | |||||||
\(20\) | 0.707317 | − | 1.01093i | 0.158161 | − | 0.226050i | ||||
\(21\) | − | 1.30946i | − | 0.285749i | ||||||
\(22\) | 0.706827 | − | 2.24317i | 0.150696 | − | 0.478246i | ||||
\(23\) | 3.94135 | − | 2.73236i | 0.821828 | − | 0.569735i | ||||
\(24\) | −2.25627 | − | 2.93715i | −0.460559 | − | 0.599543i | ||||
\(25\) | 4.61943 | 0.923887 | ||||||||
\(26\) | 1.41462 | − | 4.48941i | 0.277430 | − | 0.880446i | ||||
\(27\) | 5.61145i | 1.07992i | ||||||||
\(28\) | 1.63872 | + | 1.14656i | 0.309688 | + | 0.216680i | ||||
\(29\) | 8.34573 | 1.54976 | 0.774882 | − | 0.632106i | \(-0.217809\pi\) | ||||
0.774882 | + | 0.632106i | \(0.217809\pi\) | |||||||
\(30\) | −0.343336 | + | 1.08960i | −0.0626842 | + | 0.198933i | ||||
\(31\) | − | 1.61791i | − | 0.290585i | −0.989389 | − | 0.145293i | \(-0.953588\pi\) | ||
0.989389 | − | 0.145293i | \(-0.0464124\pi\) | |||||||
\(32\) | 5.65125 | − | 0.251819i | 0.999009 | − | 0.0445158i | ||||
\(33\) | 2.17770i | 0.379088i | ||||||||
\(34\) | 10.2754 | + | 3.23779i | 1.76222 | + | 0.555277i | ||||
\(35\) | − | 0.616901i | − | 0.104275i | ||||||
\(36\) | −2.10624 | − | 1.47368i | −0.351041 | − | 0.245614i | ||||
\(37\) | 1.52327i | 0.250425i | 0.992130 | + | 0.125212i | \(0.0399612\pi\) | ||||
−0.992130 | + | 0.125212i | \(0.960039\pi\) | |||||||
\(38\) | −2.12934 | + | 6.75764i | −0.345425 | + | 1.09623i | ||||
\(39\) | 4.35837i | 0.697898i | ||||||||
\(40\) | −1.06295 | − | 1.38372i | −0.168067 | − | 0.218785i | ||||
\(41\) | −5.75587 | −0.898915 | −0.449458 | − | 0.893302i | \(-0.648383\pi\) | ||||
−0.449458 | + | 0.893302i | \(0.648383\pi\) | |||||||
\(42\) | −1.76625 | − | 0.556549i | −0.272539 | − | 0.0858774i | ||||
\(43\) | 6.32746 | 0.964929 | 0.482465 | − | 0.875916i | \(-0.339742\pi\) | ||||
0.482465 | + | 0.875916i | \(0.339742\pi\) | |||||||
\(44\) | −2.72526 | − | 1.90679i | −0.410848 | − | 0.287459i | ||||
\(45\) | 0.792904i | 0.118199i | ||||||||
\(46\) | −2.01035 | − | 6.47754i | −0.296409 | − | 0.955061i | ||||
\(47\) | − | 0.313665i | − | 0.0457527i | −0.999738 | − | 0.0228764i | \(-0.992718\pi\) | ||
0.999738 | − | 0.0228764i | \(-0.00728241\pi\) | |||||||
\(48\) | −4.92069 | + | 1.79499i | −0.710241 | + | 0.259084i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 1.96335 | − | 6.23086i | 0.277660 | − | 0.881176i | ||||
\(51\) | −9.97548 | −1.39685 | ||||||||
\(52\) | −5.45424 | − | 3.81618i | −0.756367 | − | 0.529209i | ||||
\(53\) | 1.93276i | 0.265485i | 0.991151 | + | 0.132742i | \(0.0423783\pi\) | ||||
−0.991151 | + | 0.132742i | \(0.957622\pi\) | |||||||
\(54\) | 7.56893 | + | 2.38498i | 1.03000 | + | 0.324555i | ||||
\(55\) | 1.02593i | 0.138337i | ||||||||
\(56\) | 2.24301 | − | 1.72305i | 0.299735 | − | 0.230252i | ||||
\(57\) | − | 6.56039i | − | 0.868945i | ||||||
\(58\) | 3.54711 | − | 11.2570i | 0.465758 | − | 1.47812i | ||||
\(59\) | − | 0.633620i | − | 0.0824903i | −0.999149 | − | 0.0412452i | \(-0.986868\pi\) | ||
0.999149 | − | 0.0412452i | \(-0.0131325\pi\) | |||||||
\(60\) | 1.32377 | + | 0.926207i | 0.170898 | + | 0.119573i | ||||
\(61\) | 2.00565i | 0.256797i | 0.991723 | + | 0.128399i | \(0.0409837\pi\) | ||||
−0.991723 | + | 0.128399i | \(0.959016\pi\) | |||||||
\(62\) | −2.18230 | − | 0.687645i | −0.277152 | − | 0.0873310i | ||||
\(63\) | −1.28530 | −0.161933 | ||||||||
\(64\) | 2.06223 | − | 7.72963i | 0.257779 | − | 0.966204i | ||||
\(65\) | 2.05327i | 0.254677i | ||||||||
\(66\) | 2.93736 | + | 0.925565i | 0.361563 | + | 0.113929i | ||||
\(67\) | −12.5929 | −1.53847 | −0.769234 | − | 0.638967i | \(-0.779362\pi\) | ||||
−0.769234 | + | 0.638967i | \(0.779362\pi\) | |||||||
\(68\) | 8.73451 | − | 12.4837i | 1.05921 | − | 1.51387i | ||||
\(69\) | 3.57792 | + | 5.16106i | 0.430731 | + | 0.621318i | ||||
\(70\) | −0.832098 | − | 0.262195i | −0.0994547 | − | 0.0313383i | ||||
\(71\) | 5.31276i | 0.630509i | 0.949007 | + | 0.315254i | \(0.102090\pi\) | ||||
−0.949007 | + | 0.315254i | \(0.897910\pi\) | |||||||
\(72\) | −2.88295 | + | 2.21463i | −0.339759 | + | 0.260997i | ||||
\(73\) | −5.29417 | −0.619635 | −0.309818 | − | 0.950796i | \(-0.600268\pi\) | ||||
−0.309818 | + | 0.950796i | \(0.600268\pi\) | |||||||
\(74\) | 2.05465 | + | 0.647423i | 0.238848 | + | 0.0752613i | ||||
\(75\) | 6.04899i | 0.698477i | ||||||||
\(76\) | 8.20993 | + | 5.74426i | 0.941743 | + | 0.658912i | ||||
\(77\) | −1.66304 | −0.189521 | ||||||||
\(78\) | 5.87873 | + | 1.85240i | 0.665635 | + | 0.209743i | ||||
\(79\) | −7.12582 | −0.801718 | −0.400859 | − | 0.916140i | \(-0.631288\pi\) | ||||
−0.400859 | + | 0.916140i | \(0.631288\pi\) | |||||||
\(80\) | −2.31818 | + | 0.845634i | −0.259181 | + | 0.0945448i | ||||
\(81\) | −3.49209 | −0.388011 | ||||||||
\(82\) | −2.44636 | + | 7.76372i | −0.270155 | + | 0.857359i | ||||
\(83\) | 8.64045 | 0.948413 | 0.474206 | − | 0.880414i | \(-0.342735\pi\) | ||||
0.474206 | + | 0.880414i | \(0.342735\pi\) | |||||||
\(84\) | −1.50139 | + | 2.14584i | −0.163815 | + | 0.234130i | ||||
\(85\) | −4.69954 | −0.509736 | ||||||||
\(86\) | 2.68930 | − | 8.53471i | 0.289995 | − | 0.920321i | ||||
\(87\) | 10.9284i | 1.17165i | ||||||||
\(88\) | −3.73023 | + | 2.86550i | −0.397644 | + | 0.305463i | ||||
\(89\) | − | 15.3479i | − | 1.62687i | −0.581654 | − | 0.813436i | \(-0.697594\pi\) | ||
0.581654 | − | 0.813436i | \(-0.302406\pi\) | |||||||
\(90\) | 1.06950 | + | 0.337000i | 0.112735 | + | 0.0355229i | ||||
\(91\) | −3.32836 | −0.348907 | ||||||||
\(92\) | −9.59157 | − | 0.0414594i | −0.999991 | − | 0.00432245i | ||||
\(93\) | 2.11860 | 0.219688 | ||||||||
\(94\) | −0.423082 | − | 0.133314i | −0.0436376 | − | 0.0137503i | ||||
\(95\) | − | 3.09066i | − | 0.317095i | ||||||
\(96\) | 0.329748 | + | 7.40011i | 0.0336548 | + | 0.755270i | ||||
\(97\) | − | 2.19515i | − | 0.222883i | −0.993771 | − | 0.111442i | \(-0.964453\pi\) | ||
0.993771 | − | 0.111442i | \(-0.0355468\pi\) | |||||||
\(98\) | 0.425020 | − | 1.34884i | 0.0429335 | − | 0.136253i | ||||
\(99\) | 2.13751 | 0.214828 | ||||||||
\(100\) | −7.56994 | − | 5.29648i | −0.756994 | − | 0.529648i | ||||
\(101\) | −18.6063 | −1.85140 | −0.925698 | − | 0.378263i | \(-0.876521\pi\) | ||||
−0.925698 | + | 0.378263i | \(0.876521\pi\) | |||||||
\(102\) | −4.23978 | + | 13.4553i | −0.419801 | + | 1.33227i | ||||
\(103\) | 14.1583 | 1.39506 | 0.697532 | − | 0.716554i | \(-0.254282\pi\) | ||||
0.697532 | + | 0.716554i | \(0.254282\pi\) | |||||||
\(104\) | −7.46556 | + | 5.73492i | −0.732059 | + | 0.562355i | ||||
\(105\) | 0.807810 | 0.0788342 | ||||||||
\(106\) | 2.60697 | + | 0.821461i | 0.253212 | + | 0.0797873i | ||||
\(107\) | −12.0171 | −1.16174 | −0.580870 | − | 0.813996i | \(-0.697287\pi\) | ||||
−0.580870 | + | 0.813996i | \(0.697287\pi\) | |||||||
\(108\) | 6.43389 | − | 9.19557i | 0.619102 | − | 0.884845i | ||||
\(109\) | − | 11.1834i | − | 1.07117i | −0.844480 | − | 0.535587i | \(-0.820090\pi\) | ||
0.844480 | − | 0.535587i | \(-0.179910\pi\) | |||||||
\(110\) | 1.38382 | + | 0.436042i | 0.131942 | + | 0.0415750i | ||||
\(111\) | −1.99467 | −0.189326 | ||||||||
\(112\) | −1.37078 | − | 3.75779i | −0.129526 | − | 0.355078i | ||||
\(113\) | − | 20.8589i | − | 1.96224i | −0.193394 | − | 0.981121i | \(-0.561949\pi\) | ||
0.193394 | − | 0.981121i | \(-0.438051\pi\) | |||||||
\(114\) | −8.84889 | − | 2.78830i | −0.828774 | − | 0.261148i | ||||
\(115\) | 1.68559 | + | 2.43142i | 0.157182 | + | 0.226731i | ||||
\(116\) | −13.6763 | − | 9.56893i | −1.26981 | − | 0.888452i | ||||
\(117\) | 4.27795 | 0.395496 | ||||||||
\(118\) | −0.854649 | − | 0.269301i | −0.0786769 | − | 0.0247912i | ||||
\(119\) | − | 7.61798i | − | 0.698339i | ||||||
\(120\) | 1.81193 | − | 1.39189i | 0.165406 | − | 0.127062i | ||||
\(121\) | −8.23429 | −0.748571 | ||||||||
\(122\) | 2.70529 | + | 0.852441i | 0.244926 | + | 0.0771764i | ||||
\(123\) | − | 7.53710i | − | 0.679598i | ||||||
\(124\) | −1.85504 | + | 2.65130i | −0.166587 | + | 0.238093i | ||||
\(125\) | 5.93424i | 0.530774i | ||||||||
\(126\) | −0.546279 | + | 1.73366i | −0.0486664 | + | 0.154447i | ||||
\(127\) | 13.5053i | 1.19840i | 0.800599 | + | 0.599200i | \(0.204515\pi\) | ||||
−0.800599 | + | 0.599200i | \(0.795485\pi\) | |||||||
\(128\) | −9.54951 | − | 6.06686i | −0.844066 | − | 0.536240i | ||||
\(129\) | 8.28559i | 0.729506i | ||||||||
\(130\) | 2.76952 | + | 0.872681i | 0.242903 | + | 0.0765392i | ||||
\(131\) | − | 3.41155i | − | 0.298069i | −0.988832 | − | 0.149034i | \(-0.952384\pi\) | ||
0.988832 | − | 0.149034i | \(-0.0476165\pi\) | |||||||
\(132\) | 2.49687 | − | 3.56863i | 0.217325 | − | 0.310609i | ||||
\(133\) | 5.00998 | 0.434420 | ||||||||
\(134\) | −5.35224 | + | 16.9858i | −0.462363 | + | 1.46735i | ||||
\(135\) | −3.46171 | −0.297937 | ||||||||
\(136\) | −13.1261 | − | 17.0872i | −1.12556 | − | 1.46522i | ||||
\(137\) | − | 14.0285i | − | 1.19853i | −0.800550 | − | 0.599267i | \(-0.795459\pi\) | ||
0.800550 | − | 0.599267i | \(-0.204541\pi\) | |||||||
\(138\) | 8.48211 | − | 2.63248i | 0.722045 | − | 0.224091i | ||||
\(139\) | 18.8883i | 1.60208i | 0.598608 | + | 0.801042i | \(0.295721\pi\) | ||||
−0.598608 | + | 0.801042i | \(0.704279\pi\) | |||||||
\(140\) | −0.707317 | + | 1.01093i | −0.0597792 | + | 0.0854388i | ||||
\(141\) | 0.410733 | 0.0345900 | ||||||||
\(142\) | 7.16604 | + | 2.25803i | 0.601361 | + | 0.189490i | ||||
\(143\) | 5.53521 | 0.462877 | ||||||||
\(144\) | 1.76186 | + | 4.82989i | 0.146822 | + | 0.402491i | ||||
\(145\) | 5.14849i | 0.427559i | ||||||||
\(146\) | −2.25013 | + | 7.14096i | −0.186222 | + | 0.590990i | ||||
\(147\) | 1.30946i | 0.108003i | ||||||||
\(148\) | 1.74653 | − | 2.49621i | 0.143564 | − | 0.205188i | ||||
\(149\) | 19.3226i | 1.58297i | 0.611188 | + | 0.791485i | \(0.290692\pi\) | ||||
−0.611188 | + | 0.791485i | \(0.709308\pi\) | |||||||
\(150\) | 8.15909 | + | 2.57094i | 0.666187 | + | 0.209916i | ||||
\(151\) | 0.737203i | 0.0599927i | 0.999550 | + | 0.0299964i | \(0.00954957\pi\) | ||||
−0.999550 | + | 0.0299964i | \(0.990450\pi\) | |||||||
\(152\) | 11.2375 | − | 8.63242i | 0.911478 | − | 0.700181i | ||||
\(153\) | 9.79140i | 0.791588i | ||||||||
\(154\) | −0.706827 | + | 2.24317i | −0.0569577 | + | 0.180760i | ||||
\(155\) | 0.998091 | 0.0801686 | ||||||||
\(156\) | 4.99716 | − | 7.14213i | 0.400093 | − | 0.571828i | ||||
\(157\) | 17.5308i | 1.39911i | 0.714580 | + | 0.699554i | \(0.246618\pi\) | ||||
−0.714580 | + | 0.699554i | \(0.753382\pi\) | |||||||
\(158\) | −3.02862 | + | 9.61156i | −0.240944 | + | 0.764655i | ||||
\(159\) | −2.53088 | −0.200712 | ||||||||
\(160\) | 0.155348 | + | 3.48626i | 0.0122813 | + | 0.275613i | ||||
\(161\) | −3.94135 | + | 2.73236i | −0.310622 | + | 0.215340i | ||||
\(162\) | −1.48421 | + | 4.71026i | −0.116611 | + | 0.370073i | ||||
\(163\) | − | 8.51837i | − | 0.667210i | −0.942713 | − | 0.333605i | \(-0.891735\pi\) | ||
0.942713 | − | 0.333605i | \(-0.108265\pi\) | |||||||
\(164\) | 9.43223 | + | 6.59947i | 0.736533 | + | 0.515332i | ||||
\(165\) | −1.34342 | −0.104585 | ||||||||
\(166\) | 3.67237 | − | 11.6545i | 0.285031 | − | 0.904568i | ||||
\(167\) | − | 22.4393i | − | 1.73641i | −0.496210 | − | 0.868203i | \(-0.665275\pi\) | ||
0.496210 | − | 0.868203i | \(-0.334725\pi\) | |||||||
\(168\) | 2.25627 | + | 2.93715i | 0.174075 | + | 0.226606i | ||||
\(169\) | −1.92201 | −0.147847 | ||||||||
\(170\) | −1.99740 | + | 6.33890i | −0.153193 | + | 0.486172i | ||||
\(171\) | −6.43933 | −0.492428 | ||||||||
\(172\) | −10.3689 | − | 7.25485i | −0.790622 | − | 0.553177i | ||||
\(173\) | 9.14923 | 0.695603 | 0.347801 | − | 0.937568i | \(-0.386928\pi\) | ||||
0.347801 | + | 0.937568i | \(0.386928\pi\) | |||||||
\(174\) | 14.7407 | + | 4.64481i | 1.11749 | + | 0.352122i | ||||
\(175\) | −4.61943 | −0.349196 | ||||||||
\(176\) | 2.27966 | + | 6.24936i | 0.171836 | + | 0.471064i | ||||
\(177\) | 0.829703 | 0.0623643 | ||||||||
\(178\) | −20.7018 | − | 6.52316i | −1.55166 | − | 0.488931i | ||||
\(179\) | 1.33240i | 0.0995879i | 0.998760 | + | 0.0497939i | \(0.0158565\pi\) | ||||
−0.998760 | + | 0.0497939i | \(0.984144\pi\) | |||||||
\(180\) | 0.909116 | − | 1.29934i | 0.0677615 | − | 0.0968474i | ||||
\(181\) | − | 13.7083i | − | 1.01893i | −0.860492 | − | 0.509464i | \(-0.829844\pi\) | ||
0.860492 | − | 0.509464i | \(-0.170156\pi\) | |||||||
\(182\) | −1.41462 | + | 4.48941i | −0.104859 | + | 0.332777i | ||||
\(183\) | −2.62633 | −0.194144 | ||||||||
\(184\) | −4.13253 | + | 12.9198i | −0.304654 | + | 0.952463i | ||||
\(185\) | −0.939710 | −0.0690888 | ||||||||
\(186\) | 0.900447 | − | 2.85764i | 0.0660239 | − | 0.209532i | ||||
\(187\) | 12.6690i | 0.926451i | ||||||||
\(188\) | −0.359637 | + | 0.514007i | −0.0262292 | + | 0.0374878i | ||||
\(189\) | − | 5.61145i | − | 0.408173i | ||||||
\(190\) | −4.16879 | − | 1.31359i | −0.302436 | − | 0.0952980i | ||||
\(191\) | 18.3555 | 1.32816 | 0.664078 | − | 0.747664i | \(-0.268824\pi\) | ||||
0.664078 | + | 0.747664i | \(0.268824\pi\) | |||||||
\(192\) | 10.1217 | + | 2.70042i | 0.730469 | + | 0.194886i | ||||
\(193\) | 4.91177 | 0.353557 | 0.176779 | − | 0.984251i | \(-0.443432\pi\) | ||||
0.176779 | + | 0.984251i | \(0.443432\pi\) | |||||||
\(194\) | −2.96089 | − | 0.932982i | −0.212580 | − | 0.0669842i | ||||
\(195\) | −2.68868 | −0.192541 | ||||||||
\(196\) | −1.63872 | − | 1.14656i | −0.117051 | − | 0.0818975i | ||||
\(197\) | 21.1682 | 1.50817 | 0.754086 | − | 0.656776i | \(-0.228080\pi\) | ||||
0.754086 | + | 0.656776i | \(0.228080\pi\) | |||||||
\(198\) | 0.908486 | − | 2.88315i | 0.0645633 | − | 0.204897i | ||||
\(199\) | 0.115462 | 0.00818487 | 0.00409243 | − | 0.999992i | \(-0.498697\pi\) | ||||
0.00409243 | + | 0.999992i | \(0.498697\pi\) | |||||||
\(200\) | −10.3615 | + | 7.95949i | −0.732666 | + | 0.562821i | ||||
\(201\) | − | 16.4900i | − | 1.16311i | ||||||
\(202\) | −7.90805 | + | 25.0968i | −0.556409 | + | 1.76581i | ||||
\(203\) | −8.34573 | −0.585756 | ||||||||
\(204\) | 16.3470 | + | 11.4375i | 1.14452 | + | 0.800787i | ||||
\(205\) | − | 3.55080i | − | 0.247999i | ||||||
\(206\) | 6.01758 | − | 19.0973i | 0.419265 | − | 1.33057i | ||||
\(207\) | 5.06582 | − | 3.51190i | 0.352099 | − | 0.244094i | ||||
\(208\) | 4.56244 | + | 12.5073i | 0.316349 | + | 0.867223i | ||||
\(209\) | −8.33181 | −0.576323 | ||||||||
\(210\) | 0.343336 | − | 1.08960i | 0.0236924 | − | 0.0751898i | ||||
\(211\) | 9.77425i | 0.672887i | 0.941704 | + | 0.336443i | \(0.109224\pi\) | ||||
−0.941704 | + | 0.336443i | \(0.890776\pi\) | |||||||
\(212\) | 2.21603 | − | 3.16724i | 0.152198 | − | 0.217527i | ||||
\(213\) | −6.95688 | −0.476677 | ||||||||
\(214\) | −5.10752 | + | 16.2091i | −0.349143 | + | 1.10803i | ||||
\(215\) | 3.90342i | 0.266211i | ||||||||
\(216\) | −9.66879 | − | 12.5866i | −0.657878 | − | 0.856408i | ||||
\(217\) | 1.61791i | 0.109831i | ||||||||
\(218\) | −15.0845 | − | 4.75316i | −1.02165 | − | 0.321925i | ||||
\(219\) | − | 6.93252i | − | 0.468457i | ||||||
\(220\) | 1.17630 | − | 1.68121i | 0.0793061 | − | 0.113347i | ||||
\(221\) | 25.3554i | 1.70559i | ||||||||
\(222\) | −0.847777 | + | 2.69049i | −0.0568991 | + | 0.180574i | ||||
\(223\) | − | 8.54931i | − | 0.572504i | −0.958154 | − | 0.286252i | \(-0.907591\pi\) | ||
0.958154 | − | 0.286252i | \(-0.0924095\pi\) | |||||||
\(224\) | −5.65125 | + | 0.251819i | −0.377590 | + | 0.0168254i | ||||
\(225\) | 5.93737 | 0.395824 | ||||||||
\(226\) | −28.1353 | − | 8.86546i | −1.87153 | − | 0.589722i | ||||
\(227\) | 26.3417 | 1.74836 | 0.874179 | − | 0.485604i | \(-0.161400\pi\) | ||||
0.874179 | + | 0.485604i | \(0.161400\pi\) | |||||||
\(228\) | −7.52191 | + | 10.7506i | −0.498151 | + | 0.711977i | ||||
\(229\) | − | 1.84935i | − | 0.122209i | −0.998131 | − | 0.0611044i | \(-0.980538\pi\) | ||
0.998131 | − | 0.0611044i | \(-0.0194623\pi\) | |||||||
\(230\) | 3.99600 | − | 1.24018i | 0.263488 | − | 0.0817753i | ||||
\(231\) | − | 2.17770i | − | 0.143282i | ||||||
\(232\) | −18.7196 | + | 14.3801i | −1.22900 | + | 0.944098i | ||||
\(233\) | −8.46427 | −0.554513 | −0.277256 | − | 0.960796i | \(-0.589425\pi\) | ||||
−0.277256 | + | 0.960796i | \(0.589425\pi\) | |||||||
\(234\) | 1.81821 | − | 5.77025i | 0.118860 | − | 0.377213i | ||||
\(235\) | 0.193500 | 0.0126226 | ||||||||
\(236\) | −0.726486 | + | 1.03832i | −0.0472902 | + | 0.0675891i | ||||
\(237\) | − | 9.33101i | − | 0.606114i | ||||||
\(238\) | −10.2754 | − | 3.23779i | −0.666055 | − | 0.209875i | ||||
\(239\) | − | 21.9654i | − | 1.42082i | −0.703788 | − | 0.710410i | \(-0.748509\pi\) | ||
0.703788 | − | 0.710410i | \(-0.251491\pi\) | |||||||
\(240\) | −1.10733 | − | 3.03558i | −0.0714778 | − | 0.195946i | ||||
\(241\) | 1.36229i | 0.0877527i | 0.999037 | + | 0.0438764i | \(0.0139708\pi\) | ||||
−0.999037 | + | 0.0438764i | \(0.986029\pi\) | |||||||
\(242\) | −3.49974 | + | 11.1067i | −0.224972 | + | 0.713966i | ||||
\(243\) | 12.2616i | 0.786581i | ||||||||
\(244\) | 2.29961 | − | 3.28669i | 0.147217 | − | 0.210409i | ||||
\(245\) | 0.616901i | 0.0394124i | ||||||||
\(246\) | −10.1663 | − | 3.20342i | −0.648181 | − | 0.204243i | ||||
\(247\) | −16.6750 | −1.06101 | ||||||||
\(248\) | 2.78773 | + | 3.62900i | 0.177021 | + | 0.230442i | ||||
\(249\) | 11.3144i | 0.717019i | ||||||||
\(250\) | 8.00431 | + | 2.52217i | 0.506237 | + | 0.159516i | ||||
\(251\) | 1.72306 | 0.108758 | 0.0543792 | − | 0.998520i | \(-0.482682\pi\) | ||||
0.0543792 | + | 0.998520i | \(0.482682\pi\) | |||||||
\(252\) | 2.10624 | + | 1.47368i | 0.132681 | + | 0.0928332i | ||||
\(253\) | 6.55464 | − | 4.54403i | 0.412086 | − | 0.285680i | ||||
\(254\) | 18.2164 | + | 5.74002i | 1.14300 | + | 0.360161i | ||||
\(255\) | − | 6.15388i | − | 0.385371i | ||||||
\(256\) | −12.2419 | + | 10.3022i | −0.765121 | + | 0.643887i | ||||
\(257\) | −7.70084 | −0.480365 | −0.240183 | − | 0.970728i | \(-0.577207\pi\) | ||||
−0.240183 | + | 0.970728i | \(0.577207\pi\) | |||||||
\(258\) | 11.1759 | + | 3.52154i | 0.695781 | + | 0.219242i | ||||
\(259\) | − | 1.52327i | − | 0.0946517i | ||||||
\(260\) | 2.35421 | − | 3.36472i | 0.146002 | − | 0.208671i | ||||
\(261\) | 10.7268 | 0.663971 | ||||||||
\(262\) | −4.60162 | − | 1.44998i | −0.284289 | − | 0.0895799i | ||||
\(263\) | −12.2883 | −0.757726 | −0.378863 | − | 0.925453i | \(-0.623685\pi\) | ||||
−0.378863 | + | 0.925453i | \(0.623685\pi\) | |||||||
\(264\) | −3.75227 | − | 4.88461i | −0.230936 | − | 0.300627i | ||||
\(265\) | −1.19232 | −0.0732436 | ||||||||
\(266\) | 2.12934 | − | 6.75764i | 0.130558 | − | 0.414337i | ||||
\(267\) | 20.0975 | 1.22995 | ||||||||
\(268\) | 20.6362 | + | 14.4386i | 1.26056 | + | 0.881977i | ||||
\(269\) | 14.3522 | 0.875067 | 0.437533 | − | 0.899202i | \(-0.355852\pi\) | ||||
0.437533 | + | 0.899202i | \(0.355852\pi\) | |||||||
\(270\) | −1.47130 | + | 4.66928i | −0.0895403 | + | 0.284163i | ||||
\(271\) | − | 24.6338i | − | 1.49639i | −0.663477 | − | 0.748197i | \(-0.730920\pi\) | ||
0.663477 | − | 0.748197i | \(-0.269080\pi\) | |||||||
\(272\) | −28.6267 | + | 10.4426i | −1.73575 | + | 0.633173i | ||||
\(273\) | − | 4.35837i | − | 0.263781i | ||||||
\(274\) | −18.9221 | − | 5.96238i | −1.14313 | − | 0.360201i | ||||
\(275\) | 7.68232 | 0.463261 | ||||||||
\(276\) | 0.0542897 | − | 12.5598i | 0.00326786 | − | 0.756013i | ||||
\(277\) | −4.62562 | −0.277926 | −0.138963 | − | 0.990298i | \(-0.544377\pi\) | ||||
−0.138963 | + | 0.990298i | \(0.544377\pi\) | |||||||
\(278\) | 25.4772 | + | 8.02790i | 1.52802 | + | 0.481482i | ||||
\(279\) | − | 2.07950i | − | 0.124497i | ||||||
\(280\) | 1.06295 | + | 1.38372i | 0.0635233 | + | 0.0826930i | ||||
\(281\) | − | 14.3304i | − | 0.854881i | −0.904043 | − | 0.427440i | \(-0.859415\pi\) | ||
0.904043 | − | 0.427440i | \(-0.140585\pi\) | |||||||
\(282\) | 0.174570 | − | 0.554011i | 0.0103955 | − | 0.0329909i | ||||
\(283\) | −6.93304 | −0.412127 | −0.206063 | − | 0.978539i | \(-0.566065\pi\) | ||||
−0.206063 | + | 0.978539i | \(0.566065\pi\) | |||||||
\(284\) | 6.09143 | − | 8.70611i | 0.361460 | − | 0.516612i | ||||
\(285\) | 4.04711 | 0.239730 | ||||||||
\(286\) | 2.35258 | − | 7.46609i | 0.139111 | − | 0.441479i | ||||
\(287\) | 5.75587 | 0.339758 | ||||||||
\(288\) | 7.26356 | − | 0.323664i | 0.428009 | − | 0.0190721i | ||||
\(289\) | −41.0336 | −2.41374 | ||||||||
\(290\) | 6.94447 | + | 2.18821i | 0.407793 | + | 0.128496i | ||||
\(291\) | 2.87447 | 0.168504 | ||||||||
\(292\) | 8.67563 | + | 6.07010i | 0.507703 | + | 0.355226i | ||||
\(293\) | − | 13.4803i | − | 0.787528i | −0.919212 | − | 0.393764i | \(-0.871173\pi\) | ||
0.919212 | − | 0.393764i | \(-0.128827\pi\) | |||||||
\(294\) | 1.76625 | + | 0.556549i | 0.103010 | + | 0.0324586i | ||||
\(295\) | 0.390881 | 0.0227580 | ||||||||
\(296\) | −2.62467 | − | 3.41673i | −0.152556 | − | 0.198593i | ||||
\(297\) | 9.33209i | 0.541503i | ||||||||
\(298\) | 26.0630 | + | 8.21250i | 1.50979 | + | 0.475737i | ||||
\(299\) | 13.1182 | − | 9.09426i | 0.758647 | − | 0.525935i | ||||
\(300\) | 6.93555 | − | 9.91257i | 0.400424 | − | 0.572302i | ||||
\(301\) | −6.32746 | −0.364709 | ||||||||
\(302\) | 0.994366 | + | 0.313326i | 0.0572193 | + | 0.0180299i | ||||
\(303\) | − | 24.3643i | − | 1.39969i | ||||||
\(304\) | −6.86757 | − | 18.8264i | −0.393882 | − | 1.07977i | ||||
\(305\) | −1.23729 | −0.0708468 | ||||||||
\(306\) | 13.2070 | + | 4.16154i | 0.754993 | + | 0.237900i | ||||
\(307\) | − | 13.2540i | − | 0.756448i | −0.925714 | − | 0.378224i | \(-0.876535\pi\) | ||
0.925714 | − | 0.378224i | \(-0.123465\pi\) | |||||||
\(308\) | 2.72526 | + | 1.90679i | 0.155286 | + | 0.108649i | ||||
\(309\) | 18.5399i | 1.05470i | ||||||||
\(310\) | 0.424209 | − | 1.34626i | 0.0240934 | − | 0.0764625i | ||||
\(311\) | − | 7.87094i | − | 0.446320i | −0.974782 | − | 0.223160i | \(-0.928363\pi\) | ||
0.974782 | − | 0.223160i | \(-0.0716372\pi\) | |||||||
\(312\) | −7.50967 | − | 9.77589i | −0.425151 | − | 0.553451i | ||||
\(313\) | 12.6072i | 0.712599i | 0.934372 | + | 0.356300i | \(0.115962\pi\) | ||||
−0.934372 | + | 0.356300i | \(0.884038\pi\) | |||||||
\(314\) | 23.6461 | + | 7.45093i | 1.33443 | + | 0.420480i | ||||
\(315\) | − | 0.792904i | − | 0.0446751i | ||||||
\(316\) | 11.6772 | + | 8.17022i | 0.656894 | + | 0.459611i | ||||
\(317\) | 4.92885 | 0.276832 | 0.138416 | − | 0.990374i | \(-0.455799\pi\) | ||||
0.138416 | + | 0.990374i | \(0.455799\pi\) | |||||||
\(318\) | −1.07567 | + | 3.41374i | −0.0603208 | + | 0.191433i | ||||
\(319\) | 13.8793 | 0.777093 | ||||||||
\(320\) | 4.76842 | + | 1.27219i | 0.266563 | + | 0.0711177i | ||||
\(321\) | − | 15.7360i | − | 0.878298i | ||||||
\(322\) | 2.01035 | + | 6.47754i | 0.112032 | + | 0.360979i | ||||
\(323\) | − | 38.1659i | − | 2.12361i | ||||||
\(324\) | 5.72255 | + | 4.00391i | 0.317919 | + | 0.222440i | ||||
\(325\) | 15.3751 | 0.852859 | ||||||||
\(326\) | −11.4899 | − | 3.62048i | −0.636366 | − | 0.200520i | ||||
\(327\) | 14.6443 | 0.809829 | ||||||||
\(328\) | 12.9105 | − | 9.91762i | 0.712863 | − | 0.547609i | ||||
\(329\) | 0.313665i | 0.0172929i | ||||||||
\(330\) | −0.570982 | + | 1.81206i | −0.0314315 | + | 0.0997505i | ||||
\(331\) | 18.8054i | 1.03364i | 0.856094 | + | 0.516820i | \(0.172884\pi\) | ||||
−0.856094 | + | 0.516820i | \(0.827116\pi\) | |||||||
\(332\) | −14.1592 | − | 9.90684i | −0.777089 | − | 0.543708i | ||||
\(333\) | 1.95787i | 0.107290i | ||||||||
\(334\) | −30.2669 | − | 9.53715i | −1.65613 | − | 0.521850i | ||||
\(335\) | − | 7.76858i | − | 0.424443i | ||||||
\(336\) | 4.92069 | − | 1.79499i | 0.268446 | − | 0.0979245i | ||||
\(337\) | − | 7.94751i | − | 0.432928i | −0.976291 | − | 0.216464i | \(-0.930548\pi\) | ||
0.976291 | − | 0.216464i | \(-0.0694525\pi\) | |||||||
\(338\) | −0.816895 | + | 2.59248i | −0.0444332 | + | 0.141012i | ||||
\(339\) | 27.3140 | 1.48349 | ||||||||
\(340\) | 7.70121 | + | 5.38833i | 0.417657 | + | 0.292223i | ||||
\(341\) | − | 2.69066i | − | 0.145707i | ||||||
\(342\) | −2.73685 | + | 8.68560i | −0.147992 | + | 0.469664i | ||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | −14.1926 | + | 10.9025i | −0.765213 | + | 0.587824i | ||||
\(345\) | −3.18386 | + | 2.20722i | −0.171413 | + | 0.118833i | ||||
\(346\) | 3.88861 | − | 12.3408i | 0.209053 | − | 0.663446i | ||||
\(347\) | − | 30.1613i | − | 1.61914i | −0.587022 | − | 0.809571i | \(-0.699700\pi\) | ||
0.587022 | − | 0.809571i | \(-0.300300\pi\) | |||||||
\(348\) | 12.5302 | − | 17.9086i | 0.671688 | − | 0.960003i | ||||
\(349\) | 16.7841 | 0.898432 | 0.449216 | − | 0.893423i | \(-0.351703\pi\) | ||||
0.449216 | + | 0.893423i | \(0.351703\pi\) | |||||||
\(350\) | −1.96335 | + | 6.23086i | −0.104946 | + | 0.333053i | ||||
\(351\) | 18.6769i | 0.996901i | ||||||||
\(352\) | 9.39827 | − | 0.418786i | 0.500929 | − | 0.0223214i | ||||
\(353\) | −7.76744 | −0.413419 | −0.206709 | − | 0.978402i | \(-0.566275\pi\) | ||||
−0.206709 | + | 0.978402i | \(0.566275\pi\) | |||||||
\(354\) | 0.352641 | − | 1.11913i | 0.0187426 | − | 0.0594813i | ||||
\(355\) | −3.27745 | −0.173949 | ||||||||
\(356\) | −17.5973 | + | 25.1508i | −0.932657 | + | 1.33299i | ||||
\(357\) | 9.97548 | 0.527958 | ||||||||
\(358\) | 1.79718 | + | 0.566295i | 0.0949840 | + | 0.0299296i | ||||
\(359\) | 34.3860 | 1.81482 | 0.907412 | − | 0.420243i | \(-0.138055\pi\) | ||||
0.907412 | + | 0.420243i | \(0.138055\pi\) | |||||||
\(360\) | −1.36621 | − | 1.77850i | −0.0720055 | − | 0.0937349i | ||||
\(361\) | 6.09987 | 0.321046 | ||||||||
\(362\) | −18.4902 | − | 5.82629i | −0.971824 | − | 0.306223i | ||||
\(363\) | − | 10.7825i | − | 0.565935i | ||||||
\(364\) | 5.45424 | + | 3.81618i | 0.285880 | + | 0.200022i | ||||
\(365\) | − | 3.26598i | − | 0.170949i | ||||||
\(366\) | −1.11624 | + | 3.54248i | −0.0583469 | + | 0.185169i | ||||
\(367\) | −25.8428 | −1.34898 | −0.674491 | − | 0.738283i | \(-0.735637\pi\) | ||||
−0.674491 | + | 0.738283i | \(0.735637\pi\) | |||||||
\(368\) | 15.6703 | + | 11.0653i | 0.816872 | + | 0.576819i | ||||
\(369\) | −7.39802 | −0.385126 | ||||||||
\(370\) | −0.399396 | + | 1.26751i | −0.0207636 | + | 0.0658949i | ||||
\(371\) | − | 1.93276i | − | 0.100344i | ||||||
\(372\) | −3.47178 | − | 2.42911i | −0.180003 | − | 0.125943i | ||||
\(373\) | 17.6499i | 0.913876i | 0.889498 | + | 0.456938i | \(0.151054\pi\) | ||||
−0.889498 | + | 0.456938i | \(0.848946\pi\) | |||||||
\(374\) | 17.0884 | + | 5.38459i | 0.883622 | + | 0.278431i | ||||
\(375\) | −7.77068 | −0.401276 | ||||||||
\(376\) | 0.540459 | + | 0.703555i | 0.0278720 | + | 0.0362831i | ||||
\(377\) | 27.7776 | 1.43062 | ||||||||
\(378\) | −7.56893 | − | 2.38498i | −0.389304 | − | 0.122670i | ||||
\(379\) | −12.5394 | −0.644106 | −0.322053 | − | 0.946722i | \(-0.604373\pi\) | ||||
−0.322053 | + | 0.946722i | \(0.604373\pi\) | |||||||
\(380\) | −3.54364 | + | 5.06471i | −0.181785 | + | 0.259814i | ||||
\(381\) | −17.6847 | −0.906014 | ||||||||
\(382\) | 7.80145 | − | 24.7585i | 0.399157 | − | 1.26676i | ||||
\(383\) | 11.7348 | 0.599620 | 0.299810 | − | 0.953999i | \(-0.403077\pi\) | ||||
0.299810 | + | 0.953999i | \(0.403077\pi\) | |||||||
\(384\) | 7.94434 | − | 12.5048i | 0.405408 | − | 0.638130i | ||||
\(385\) | − | 1.02593i | − | 0.0522864i | ||||||
\(386\) | 2.08760 | − | 6.62518i | 0.106256 | − | 0.337213i | ||||
\(387\) | 8.13270 | 0.413408 | ||||||||
\(388\) | −2.51688 | + | 3.59722i | −0.127775 | + | 0.182621i | ||||
\(389\) | − | 28.8792i | − | 1.46423i | −0.681179 | − | 0.732117i | \(-0.738532\pi\) | ||
0.681179 | − | 0.732117i | \(-0.261468\pi\) | |||||||
\(390\) | −1.14274 | + | 3.62659i | −0.0578651 | + | 0.183640i | ||||
\(391\) | 20.8150 | + | 30.0251i | 1.05266 | + | 1.51844i | ||||
\(392\) | −2.24301 | + | 1.72305i | −0.113289 | + | 0.0870269i | ||||
\(393\) | 4.46731 | 0.225346 | ||||||||
\(394\) | 8.99691 | − | 28.5524i | 0.453258 | − | 1.43845i | ||||
\(395\) | − | 4.39593i | − | 0.221183i | ||||||
\(396\) | −3.50278 | − | 2.45080i | −0.176021 | − | 0.123157i | ||||
\(397\) | −19.9901 | −1.00328 | −0.501638 | − | 0.865078i | \(-0.667269\pi\) | ||||
−0.501638 | + | 0.865078i | \(0.667269\pi\) | |||||||
\(398\) | 0.0490736 | − | 0.155739i | 0.00245984 | − | 0.00780649i | ||||
\(399\) | 6.56039i | 0.328430i | ||||||||
\(400\) | 6.33222 | + | 17.3588i | 0.316611 | + | 0.867942i | ||||
\(401\) | 20.4825i | 1.02285i | 0.859329 | + | 0.511424i | \(0.170882\pi\) | ||||
−0.859329 | + | 0.511424i | \(0.829118\pi\) | |||||||
\(402\) | −22.2423 | − | 7.00857i | −1.10934 | − | 0.349556i | ||||
\(403\) | − | 5.38499i | − | 0.268245i | ||||||
\(404\) | 30.4904 | + | 21.3333i | 1.51696 | + | 1.06137i | ||||
\(405\) | − | 2.15428i | − | 0.107047i | ||||||
\(406\) | −3.54711 | + | 11.2570i | −0.176040 | + | 0.558677i | ||||
\(407\) | 2.53327i | 0.125570i | ||||||||
\(408\) | 22.3751 | − | 17.1882i | 1.10773 | − | 0.850942i | ||||
\(409\) | −20.3169 | −1.00461 | −0.502303 | − | 0.864692i | \(-0.667514\pi\) | ||||
−0.502303 | + | 0.864692i | \(0.667514\pi\) | |||||||
\(410\) | −4.78945 | − | 1.50916i | −0.236534 | − | 0.0745322i | ||||
\(411\) | 18.3698 | 0.906115 | ||||||||
\(412\) | −23.2015 | − | 16.2335i | −1.14306 | − | 0.799765i | ||||
\(413\) | 0.633620i | 0.0311784i | ||||||||
\(414\) | −2.58390 | − | 8.32559i | −0.126992 | − | 0.409181i | ||||
\(415\) | 5.33030i | 0.261654i | ||||||||
\(416\) | 18.8094 | − | 0.838145i | 0.922206 | − | 0.0410935i | ||||
\(417\) | −24.7336 | −1.21121 | ||||||||
\(418\) | −3.54119 | + | 11.2382i | −0.173205 | + | 0.549680i | ||||
\(419\) | −26.8033 | −1.30942 | −0.654712 | − | 0.755878i | \(-0.727210\pi\) | ||||
−0.654712 | + | 0.755878i | \(0.727210\pi\) | |||||||
\(420\) | −1.32377 | − | 0.926207i | −0.0645934 | − | 0.0451943i | ||||
\(421\) | − | 31.8955i | − | 1.55449i | −0.629197 | − | 0.777245i | \(-0.716616\pi\) | ||
0.629197 | − | 0.777245i | \(-0.283384\pi\) | |||||||
\(422\) | 13.1839 | + | 4.15425i | 0.641780 | + | 0.202226i | ||||
\(423\) | − | 0.403154i | − | 0.0196020i | ||||||
\(424\) | −3.33023 | − | 4.33520i | −0.161730 | − | 0.210536i | ||||
\(425\) | 35.1907i | 1.70700i | ||||||||
\(426\) | −2.95681 | + | 9.38368i | −0.143258 | + | 0.454641i | ||||
\(427\) | − | 2.00565i | − | 0.0970602i | ||||||
\(428\) | 19.6927 | + | 13.7784i | 0.951880 | + | 0.666005i | ||||
\(429\) | 7.24816i | 0.349945i | ||||||||
\(430\) | 5.26507 | + | 1.65903i | 0.253904 | + | 0.0800056i | ||||
\(431\) | 4.72873 | 0.227775 | 0.113888 | − | 0.993494i | \(-0.463670\pi\) | ||||
0.113888 | + | 0.993494i | \(0.463670\pi\) | |||||||
\(432\) | −21.0866 | + | 7.69206i | −1.01453 | + | 0.370084i | ||||
\(433\) | − | 36.6590i | − | 1.76172i | −0.473378 | − | 0.880859i | \(-0.656966\pi\) | ||
0.473378 | − | 0.880859i | \(-0.343034\pi\) | |||||||
\(434\) | 2.18230 | + | 0.687645i | 0.104754 | + | 0.0330080i | ||||
\(435\) | −6.74177 | −0.323243 | ||||||||
\(436\) | −12.8225 | + | 18.3264i | −0.614085 | + | 0.877675i | ||||
\(437\) | −19.7461 | + | 13.6890i | −0.944583 | + | 0.654835i | ||||
\(438\) | −9.35084 | − | 2.94646i | −0.446800 | − | 0.140787i | ||||
\(439\) | 34.7822i | 1.66006i | 0.557717 | + | 0.830031i | \(0.311677\pi\) | ||||
−0.557717 | + | 0.830031i | \(0.688323\pi\) | |||||||
\(440\) | −1.76773 | − | 2.30118i | −0.0842732 | − | 0.109705i | ||||
\(441\) | 1.28530 | 0.0612048 | ||||||||
\(442\) | 34.2002 | + | 10.7765i | 1.62674 | + | 0.512588i | ||||
\(443\) | 24.8716i | 1.18168i | 0.806787 | + | 0.590842i | \(0.201204\pi\) | ||||
−0.806787 | + | 0.590842i | \(0.798796\pi\) | |||||||
\(444\) | 3.26871 | + | 2.28702i | 0.155126 | + | 0.108537i | ||||
\(445\) | 9.46812 | 0.448832 | ||||||||
\(446\) | −11.5316 | − | 3.63363i | −0.546038 | − | 0.172057i | ||||
\(447\) | −25.3023 | −1.19676 | ||||||||
\(448\) | −2.06223 | + | 7.72963i | −0.0974313 | + | 0.365191i | ||||
\(449\) | 6.64822 | 0.313749 | 0.156874 | − | 0.987619i | \(-0.449858\pi\) | ||||
0.156874 | + | 0.987619i | \(0.449858\pi\) | |||||||
\(450\) | 2.52350 | − | 8.00853i | 0.118959 | − | 0.377526i | ||||
\(451\) | −9.57226 | −0.450740 | ||||||||
\(452\) | −23.9161 | + | 34.1818i | −1.12492 | + | 1.60778i | ||||
\(453\) | −0.965341 | −0.0453557 | ||||||||
\(454\) | 11.1957 | − | 35.5306i | 0.525442 | − | 1.66753i | ||||
\(455\) | − | 2.05327i | − | 0.0962587i | ||||||
\(456\) | 11.3038 | + | 14.7151i | 0.529351 | + | 0.689095i | ||||
\(457\) | 3.31041i | 0.154854i | 0.996998 | + | 0.0774271i | \(0.0246705\pi\) | ||||
−0.996998 | + | 0.0774271i | \(0.975329\pi\) | |||||||
\(458\) | −2.49448 | − | 0.786013i | −0.116559 | − | 0.0367280i | ||||
\(459\) | −42.7479 | −1.99530 | ||||||||
\(460\) | 0.0255764 | − | 5.91705i | 0.00119250 | − | 0.275884i | ||||
\(461\) | 16.1209 | 0.750827 | 0.375413 | − | 0.926858i | \(-0.377501\pi\) | ||||
0.375413 | + | 0.926858i | \(0.377501\pi\) | |||||||
\(462\) | −2.93736 | − | 0.925565i | −0.136658 | − | 0.0430612i | ||||
\(463\) | − | 6.25458i | − | 0.290675i | −0.989382 | − | 0.145337i | \(-0.953573\pi\) | ||
0.989382 | − | 0.145337i | \(-0.0464268\pi\) | |||||||
\(464\) | 11.4402 | + | 31.3615i | 0.531096 | + | 1.45592i | ||||
\(465\) | 1.30696i | 0.0606090i | ||||||||
\(466\) | −3.59748 | + | 11.4169i | −0.166650 | + | 0.528878i | ||||
\(467\) | 20.5390 | 0.950431 | 0.475215 | − | 0.879869i | \(-0.342370\pi\) | ||||
0.475215 | + | 0.879869i | \(0.342370\pi\) | |||||||
\(468\) | −7.01034 | − | 4.90494i | −0.324053 | − | 0.226731i | ||||
\(469\) | 12.5929 | 0.581486 | ||||||||
\(470\) | 0.0822414 | − | 0.261000i | 0.00379352 | − | 0.0120390i | ||||
\(471\) | −22.9559 | −1.05775 | ||||||||
\(472\) | 1.09176 | + | 1.42122i | 0.0502521 | + | 0.0654169i | ||||
\(473\) | 10.5228 | 0.483841 | ||||||||
\(474\) | −12.5860 | − | 3.96587i | −0.578094 | − | 0.182158i | ||||
\(475\) | −23.1433 | −1.06189 | ||||||||
\(476\) | −8.73451 | + | 12.4837i | −0.400345 | + | 0.572189i | ||||
\(477\) | 2.48418i | 0.113743i | ||||||||
\(478\) | −29.6277 | − | 9.33572i | −1.35514 | − | 0.427006i | ||||
\(479\) | −25.1957 | −1.15122 | −0.575610 | − | 0.817724i | \(-0.695235\pi\) | ||||
−0.575610 | + | 0.817724i | \(0.695235\pi\) | |||||||
\(480\) | −4.56513 | + | 0.203422i | −0.208369 | + | 0.00928491i | ||||
\(481\) | 5.07001i | 0.231172i | ||||||||
\(482\) | 1.83750 | + | 0.579000i | 0.0836960 | + | 0.0263727i | ||||
\(483\) | −3.57792 | − | 5.16106i | −0.162801 | − | 0.234836i | ||||
\(484\) | 13.4937 | + | 9.44114i | 0.613348 | + | 0.429143i | ||||
\(485\) | 1.35419 | 0.0614905 | ||||||||
\(486\) | 16.5389 | + | 5.21142i | 0.750218 | + | 0.236395i | ||||
\(487\) | 19.3730i | 0.877874i | 0.898518 | + | 0.438937i | \(0.144645\pi\) | ||||
−0.898518 | + | 0.438937i | \(0.855355\pi\) | |||||||
\(488\) | −3.45582 | − | 4.49870i | −0.156438 | − | 0.203647i | ||||
\(489\) | 11.1545 | 0.504424 | ||||||||
\(490\) | 0.832098 | + | 0.262195i | 0.0375904 | + | 0.0118448i | ||||
\(491\) | 21.7646i | 0.982222i | 0.871097 | + | 0.491111i | \(0.163409\pi\) | ||||
−0.871097 | + | 0.491111i | \(0.836591\pi\) | |||||||
\(492\) | −8.64178 | + | 12.3512i | −0.389601 | + | 0.556834i | ||||
\(493\) | 63.5776i | 2.86339i | ||||||||
\(494\) | −7.08722 | + | 22.4919i | −0.318869 | + | 1.01196i | ||||
\(495\) | 1.31863i | 0.0592682i | ||||||||
\(496\) | 6.07976 | − | 2.21780i | 0.272989 | − | 0.0995820i | ||||
\(497\) | − | 5.31276i | − | 0.238310i | ||||||
\(498\) | 15.2612 | + | 4.80883i | 0.683872 | + | 0.215489i | ||||
\(499\) | 23.7180i | 1.06176i | 0.847447 | + | 0.530881i | \(0.178139\pi\) | ||||
−0.847447 | + | 0.530881i | \(0.821861\pi\) | |||||||
\(500\) | 6.80399 | − | 9.72453i | 0.304284 | − | 0.434894i | ||||
\(501\) | 29.3835 | 1.31276 | ||||||||
\(502\) | 0.732334 | − | 2.32412i | 0.0326857 | − | 0.103731i | ||||
\(503\) | −8.57085 | −0.382155 | −0.191078 | − | 0.981575i | \(-0.561198\pi\) | ||||
−0.191078 | + | 0.981575i | \(0.561198\pi\) | |||||||
\(504\) | 2.88295 | − | 2.21463i | 0.128417 | − | 0.0986476i | ||||
\(505\) | − | 11.4782i | − | 0.510775i | ||||||
\(506\) | −3.34329 | − | 10.7724i | −0.148627 | − | 0.478893i | ||||
\(507\) | − | 2.51681i | − | 0.111775i | ||||||
\(508\) | 15.4847 | − | 22.1313i | 0.687022 | − | 0.981918i | ||||
\(509\) | 18.8353 | 0.834861 | 0.417431 | − | 0.908709i | \(-0.362931\pi\) | ||||
0.417431 | + | 0.908709i | \(0.362931\pi\) | |||||||
\(510\) | −8.30057 | − | 2.61552i | −0.367556 | − | 0.115817i | ||||
\(511\) | 5.29417 | 0.234200 | ||||||||
\(512\) | 8.69289 | + | 20.8910i | 0.384175 | + | 0.923260i | ||||
\(513\) | − | 28.1132i | − | 1.24123i | ||||||
\(514\) | −3.27301 | + | 10.3872i | −0.144366 | + | 0.458158i | ||||
\(515\) | 8.73430i | 0.384879i | ||||||||
\(516\) | 9.49997 | − | 13.5777i | 0.418213 | − | 0.597726i | ||||
\(517\) | − | 0.521638i | − | 0.0229416i | ||||||
\(518\) | −2.05465 | − | 0.647423i | −0.0902760 | − | 0.0284461i | ||||
\(519\) | 11.9806i | 0.525890i | ||||||||
\(520\) | −3.53788 | − | 4.60551i | −0.155146 | − | 0.201965i | ||||
\(521\) | − | 3.63886i | − | 0.159422i | −0.996818 | − | 0.0797108i | \(-0.974600\pi\) | ||
0.996818 | − | 0.0797108i | \(-0.0253997\pi\) | |||||||
\(522\) | 4.55910 | − | 14.4687i | 0.199546 | − | 0.633277i | ||||
\(523\) | 10.1985 | 0.445949 | 0.222974 | − | 0.974824i | \(-0.428423\pi\) | ||||
0.222974 | + | 0.974824i | \(0.428423\pi\) | |||||||
\(524\) | −3.91156 | + | 5.59056i | −0.170877 | + | 0.244225i | ||||
\(525\) | − | 6.04899i | − | 0.263999i | ||||||
\(526\) | −5.22276 | + | 16.5748i | −0.227723 | + | 0.722697i | ||||
\(527\) | 12.3252 | 0.536895 | ||||||||
\(528\) | −8.18332 | + | 2.98514i | −0.356133 | + | 0.129912i | ||||
\(529\) | 8.06847 | − | 21.5383i | 0.350803 | − | 0.936449i | ||||
\(530\) | −0.506760 | + | 1.60824i | −0.0220122 | + | 0.0698576i | ||||
\(531\) | − | 0.814393i | − | 0.0353416i | ||||||
\(532\) | −8.20993 | − | 5.74426i | −0.355946 | − | 0.249045i | ||||
\(533\) | −19.1576 | −0.829808 | ||||||||
\(534\) | 8.54185 | − | 27.1082i | 0.369642 | − | 1.17309i | ||||
\(535\) | − | 7.41338i | − | 0.320508i | ||||||
\(536\) | 28.2461 | − | 21.6981i | 1.22004 | − | 0.937217i | ||||
\(537\) | −1.74472 | −0.0752904 | ||||||||
\(538\) | 6.09996 | − | 19.3587i | 0.262988 | − | 0.834613i | ||||
\(539\) | 1.66304 | 0.0716324 | ||||||||
\(540\) | 5.67276 | + | 3.96908i | 0.244117 | + | 0.170802i | ||||
\(541\) | −8.95405 | −0.384965 | −0.192482 | − | 0.981300i | \(-0.561654\pi\) | ||||
−0.192482 | + | 0.981300i | \(0.561654\pi\) | |||||||
\(542\) | −33.2269 | − | 10.4698i | −1.42722 | − | 0.449718i | ||||
\(543\) | 17.9505 | 0.770330 | ||||||||
\(544\) | 1.91835 | + | 43.0511i | 0.0822487 | + | 1.84580i | ||||
\(545\) | 6.89904 | 0.295522 | ||||||||
\(546\) | −5.87873 | − | 1.85240i | −0.251586 | − | 0.0792752i | ||||
\(547\) | − | 4.41474i | − | 0.188761i | −0.995536 | − | 0.0943804i | \(-0.969913\pi\) | ||
0.995536 | − | 0.0943804i | \(-0.0300870\pi\) | |||||||
\(548\) | −16.0846 | + | 22.9887i | −0.687098 | + | 0.982028i | ||||
\(549\) | 2.57786i | 0.110021i | ||||||||
\(550\) | 3.26514 | − | 10.3622i | 0.139226 | − | 0.441845i | ||||
\(551\) | −41.8119 | −1.78125 | ||||||||
\(552\) | −16.9181 | − | 5.41141i | −0.720081 | − | 0.230325i | ||||
\(553\) | 7.12582 | 0.303021 | ||||||||
\(554\) | −1.96598 | + | 6.23920i | −0.0835265 | + | 0.265078i | ||||
\(555\) | − | 1.23052i | − | 0.0522325i | ||||||
\(556\) | 21.6566 | − | 30.9525i | 0.918447 | − | 1.31268i | ||||
\(557\) | 3.94573i | 0.167186i | 0.996500 | + | 0.0835930i | \(0.0266396\pi\) | ||||
−0.996500 | + | 0.0835930i | \(0.973360\pi\) | |||||||
\(558\) | −2.80491 | − | 0.883831i | −0.118741 | − | 0.0374155i | ||||
\(559\) | 21.0601 | 0.890746 | ||||||||
\(560\) | 2.31818 | − | 0.845634i | 0.0979611 | − | 0.0357346i | ||||
\(561\) | −16.5896 | −0.700416 | ||||||||
\(562\) | −19.3294 | − | 6.09072i | −0.815361 | − | 0.256921i | ||||
\(563\) | 26.4156 | 1.11329 | 0.556643 | − | 0.830752i | \(-0.312089\pi\) | ||||
0.556643 | + | 0.830752i | \(0.312089\pi\) | |||||||
\(564\) | −0.673075 | − | 0.470932i | −0.0283416 | − | 0.0198298i | ||||
\(565\) | 12.8679 | 0.541356 | ||||||||
\(566\) | −2.94668 | + | 9.35154i | −0.123858 | + | 0.393074i | ||||
\(567\) | 3.49209 | 0.146654 | ||||||||
\(568\) | −9.15413 | − | 11.9166i | −0.384099 | − | 0.500010i | ||||
\(569\) | 6.99492i | 0.293242i | 0.989193 | + | 0.146621i | \(0.0468398\pi\) | ||||
−0.989193 | + | 0.146621i | \(0.953160\pi\) | |||||||
\(570\) | 1.72010 | − | 5.45889i | 0.0720472 | − | 0.228648i | ||||
\(571\) | −22.2464 | −0.930982 | −0.465491 | − | 0.885053i | \(-0.654122\pi\) | ||||
−0.465491 | + | 0.885053i | \(0.654122\pi\) | |||||||
\(572\) | −9.07063 | − | 6.34648i | −0.379262 | − | 0.265359i | ||||
\(573\) | 24.0358i | 1.00411i | ||||||||
\(574\) | 2.44636 | − | 7.76372i | 0.102109 | − | 0.324051i | ||||
\(575\) | 18.2068 | − | 12.6219i | 0.759276 | − | 0.526371i | ||||
\(576\) | 2.65059 | − | 9.93491i | 0.110441 | − | 0.413955i | ||||
\(577\) | −20.8729 | −0.868952 | −0.434476 | − | 0.900683i | \(-0.643066\pi\) | ||||
−0.434476 | + | 0.900683i | \(0.643066\pi\) | |||||||
\(578\) | −17.4401 | + | 55.3476i | −0.725413 | + | 2.30216i | ||||
\(579\) | 6.43180i | 0.267296i | ||||||||
\(580\) | 5.90308 | − | 8.43691i | 0.245112 | − | 0.350324i | ||||
\(581\) | −8.64045 | −0.358466 | ||||||||
\(582\) | 1.22171 | − | 3.87719i | 0.0506414 | − | 0.160715i | ||||
\(583\) | 3.21426i | 0.133121i | ||||||||
\(584\) | 11.8749 | − | 9.12209i | 0.491387 | − | 0.377475i | ||||
\(585\) | 2.63907i | 0.109112i | ||||||||
\(586\) | −18.1827 | − | 5.72940i | −0.751121 | − | 0.236679i | ||||
\(587\) | 3.18875i | 0.131614i | 0.997832 | + | 0.0658068i | \(0.0209621\pi\) | ||||
−0.997832 | + | 0.0658068i | \(0.979038\pi\) | |||||||
\(588\) | 1.50139 | − | 2.14584i | 0.0619161 | − | 0.0884930i | ||||
\(589\) | 8.10570i | 0.333989i | ||||||||
\(590\) | 0.166132 | − | 0.527234i | 0.00683956 | − | 0.0217059i | ||||
\(591\) | 27.7190i | 1.14021i | ||||||||
\(592\) | −5.72414 | + | 2.08807i | −0.235261 | + | 0.0858192i | ||||
\(593\) | −31.5631 | −1.29614 | −0.648071 | − | 0.761580i | \(-0.724424\pi\) | ||||
−0.648071 | + | 0.761580i | \(0.724424\pi\) | |||||||
\(594\) | 12.5875 | + | 3.96633i | 0.516470 | + | 0.162740i | ||||
\(595\) | 4.69954 | 0.192662 | ||||||||
\(596\) | 22.1546 | − | 31.6643i | 0.907489 | − | 1.29702i | ||||
\(597\) | 0.151193i | 0.00618792i | ||||||||
\(598\) | −6.69115 | − | 21.5596i | −0.273622 | − | 0.881637i | ||||
\(599\) | 8.41847i | 0.343969i | 0.985100 | + | 0.171985i | \(0.0550180\pi\) | ||||
−0.985100 | + | 0.171985i | \(0.944982\pi\) | |||||||
\(600\) | −10.4227 | − | 13.5680i | −0.425504 | − | 0.553910i | ||||
\(601\) | −29.8381 | −1.21712 | −0.608561 | − | 0.793507i | \(-0.708253\pi\) | ||||
−0.608561 | + | 0.793507i | \(0.708253\pi\) | |||||||
\(602\) | −2.68930 | + | 8.53471i | −0.109608 | + | 0.347849i | ||||
\(603\) | −16.1857 | −0.659132 | ||||||||
\(604\) | 0.845251 | − | 1.20807i | 0.0343928 | − | 0.0491555i | ||||
\(605\) | − | 5.07974i | − | 0.206521i | ||||||
\(606\) | −32.8634 | − | 10.3553i | −1.33499 | − | 0.420656i | ||||
\(607\) | 1.39387i | 0.0565753i | 0.999600 | + | 0.0282876i | \(0.00900543\pi\) | ||||
−0.999600 | + | 0.0282876i | \(0.990995\pi\) | |||||||
\(608\) | −28.3126 | + | 1.26161i | −1.14823 | + | 0.0511650i | ||||
\(609\) | − | 10.9284i | − | 0.442843i | ||||||
\(610\) | −0.525872 | + | 1.66890i | −0.0212919 | + | 0.0675717i | ||||
\(611\) | − | 1.04399i | − | 0.0422353i | ||||||
\(612\) | 11.2265 | − | 16.0453i | 0.453803 | − | 0.648594i | ||||
\(613\) | − | 18.6476i | − | 0.753169i | −0.926382 | − | 0.376584i | \(-0.877098\pi\) | ||
0.926382 | − | 0.376584i | \(-0.122902\pi\) | |||||||
\(614\) | −17.8775 | − | 5.63323i | −0.721478 | − | 0.227339i | ||||
\(615\) | 4.64965 | 0.187492 | ||||||||
\(616\) | 3.73023 | − | 2.86550i | 0.150295 | − | 0.115454i | ||||
\(617\) | − | 17.9429i | − | 0.722354i | −0.932497 | − | 0.361177i | \(-0.882375\pi\) | ||
0.932497 | − | 0.361177i | \(-0.117625\pi\) | |||||||
\(618\) | 25.0072 | + | 7.87982i | 1.00594 | + | 0.316973i | ||||
\(619\) | −19.7476 | −0.793724 | −0.396862 | − | 0.917878i | \(-0.629901\pi\) | ||||
−0.396862 | + | 0.917878i | \(0.629901\pi\) | |||||||
\(620\) | −1.63559 | − | 1.14438i | −0.0656867 | − | 0.0459592i | ||||
\(621\) | 15.3325 | + | 22.1167i | 0.615271 | + | 0.887512i | ||||
\(622\) | −10.6166 | − | 3.34531i | −0.425687 | − | 0.134135i | ||||
\(623\) | 15.3479i | 0.614900i | ||||||||
\(624\) | −16.3778 | + | 5.97436i | −0.655638 | + | 0.239166i | ||||
\(625\) | 19.4363 | 0.777453 | ||||||||
\(626\) | 17.0050 | + | 5.35830i | 0.679656 | + | 0.214161i | ||||
\(627\) | − | 10.9102i | − | 0.435712i | ||||||
\(628\) | 20.1002 | − | 28.7280i | 0.802084 | − | 1.14637i | ||||
\(629\) | −11.6043 | −0.462693 | ||||||||
\(630\) | −1.06950 | − | 0.337000i | −0.0426098 | − | 0.0134264i | ||||
\(631\) | −5.30461 | −0.211173 | −0.105587 | − | 0.994410i | \(-0.533672\pi\) | ||||
−0.105587 | + | 0.994410i | \(0.533672\pi\) | |||||||
\(632\) | 15.9833 | − | 12.2781i | 0.635782 | − | 0.488397i | ||||
\(633\) | −12.7990 | −0.508716 | ||||||||
\(634\) | 2.09486 | − | 6.64822i | 0.0831976 | − | 0.264034i | ||||
\(635\) | −8.33142 | −0.330622 | ||||||||
\(636\) | 4.14739 | + | 2.90182i | 0.164455 | + | 0.115064i | ||||
\(637\) | 3.32836 | 0.131874 | ||||||||
\(638\) | 5.89899 | − | 18.7209i | 0.233543 | − | 0.741168i | ||||
\(639\) | 6.82850i | 0.270131i | ||||||||
\(640\) | 3.74265 | − | 5.89110i | 0.147941 | − | 0.232866i | ||||
\(641\) | − | 36.0710i | − | 1.42472i | −0.701815 | − | 0.712360i | \(-0.747626\pi\) | ||
0.701815 | − | 0.712360i | \(-0.252374\pi\) | |||||||
\(642\) | −21.2253 | − | 6.68812i | −0.837695 | − | 0.263959i | ||||
\(643\) | 18.1076 | 0.714094 | 0.357047 | − | 0.934086i | \(-0.383784\pi\) | ||||
0.357047 | + | 0.934086i | \(0.383784\pi\) | |||||||
\(644\) | 9.59157 | + | 0.0414594i | 0.377961 | + | 0.00163373i | ||||
\(645\) | −5.11139 | −0.201261 | ||||||||
\(646\) | −51.4795 | − | 16.2213i | −2.02543 | − | 0.638218i | ||||
\(647\) | − | 28.5841i | − | 1.12376i | −0.827220 | − | 0.561879i | \(-0.810079\pi\) | ||
0.827220 | − | 0.561879i | \(-0.189921\pi\) | |||||||
\(648\) | 7.83282 | − | 6.01704i | 0.307702 | − | 0.236372i | ||||
\(649\) | − | 1.05374i | − | 0.0413628i | ||||||
\(650\) | 6.53474 | − | 20.7385i | 0.256314 | − | 0.813432i | ||||
\(651\) | −2.11860 | −0.0830344 | ||||||||
\(652\) | −9.76687 | + | 13.9592i | −0.382500 | + | 0.546684i | ||||
\(653\) | −5.27973 | −0.206612 | −0.103306 | − | 0.994650i | \(-0.532942\pi\) | ||||
−0.103306 | + | 0.994650i | \(0.532942\pi\) | |||||||
\(654\) | 6.22410 | − | 19.7527i | 0.243382 | − | 0.772391i | ||||
\(655\) | 2.10459 | 0.0822331 | ||||||||
\(656\) | −7.89002 | − | 21.6293i | −0.308053 | − | 0.844483i | ||||
\(657\) | −6.80460 | −0.265473 | ||||||||
\(658\) | 0.423082 | + | 0.133314i | 0.0164935 | + | 0.00519712i | ||||
\(659\) | −48.8617 | −1.90338 | −0.951691 | − | 0.307057i | \(-0.900656\pi\) | ||||
−0.951691 | + | 0.307057i | \(0.900656\pi\) | |||||||
\(660\) | 2.20149 | + | 1.54032i | 0.0856928 | + | 0.0599570i | ||||
\(661\) | 2.91649i | 0.113438i | 0.998390 | + | 0.0567192i | \(0.0180640\pi\) | ||||
−0.998390 | + | 0.0567192i | \(0.981936\pi\) | |||||||
\(662\) | 25.3654 | + | 7.99269i | 0.985856 | + | 0.310645i | ||||
\(663\) | −33.2020 | −1.28946 | ||||||||
\(664\) | −19.3807 | + | 14.8879i | −0.752115 | + | 0.577762i | ||||
\(665\) | 3.09066i | 0.119851i | ||||||||
\(666\) | 2.64084 | + | 0.832133i | 0.102331 | + | 0.0322445i | ||||
\(667\) | 32.8935 | − | 22.8035i | 1.27364 | − | 0.882955i | ||||
\(668\) | −25.7281 | + | 36.7716i | −0.995450 | + | 1.42274i | ||||
\(669\) | 11.1950 | 0.432825 | ||||||||
\(670\) | −10.4785 | − | 3.30180i | −0.404821 | − | 0.127560i | ||||
\(671\) | 3.33548i | 0.128765i | ||||||||
\(672\) | −0.329748 | − | 7.40011i | −0.0127203 | − | 0.285465i | ||||
\(673\) | 32.6008 | 1.25667 | 0.628335 | − | 0.777943i | \(-0.283737\pi\) | ||||
0.628335 | + | 0.777943i | \(0.283737\pi\) | |||||||
\(674\) | −10.7199 | − | 3.37785i | −0.412915 | − | 0.130110i | ||||
\(675\) | 25.9217i | 0.997728i | ||||||||
\(676\) | 3.14964 | + | 2.20371i | 0.121140 | + | 0.0847582i | ||||
\(677\) | − | 1.91684i | − | 0.0736702i | −0.999321 | − | 0.0368351i | \(-0.988272\pi\) | ||
0.999321 | − | 0.0368351i | \(-0.0117276\pi\) | |||||||
\(678\) | 11.6090 | − | 36.8421i | 0.445841 | − | 1.41491i | ||||
\(679\) | 2.19515i | 0.0842420i | ||||||||
\(680\) | 10.5411 | − | 8.09752i | 0.404234 | − | 0.310526i | ||||
\(681\) | 34.4935i | 1.32179i | ||||||||
\(682\) | −3.62925 | − | 1.14358i | −0.138971 | − | 0.0437901i | ||||
\(683\) | − | 32.9939i | − | 1.26248i | −0.775589 | − | 0.631238i | \(-0.782547\pi\) | ||
0.775589 | − | 0.631238i | \(-0.217453\pi\) | |||||||
\(684\) | 10.5522 | + | 7.38311i | 0.403475 | + | 0.282300i | ||||
\(685\) | 8.65418 | 0.330659 | ||||||||
\(686\) | −0.425020 | + | 1.34884i | −0.0162273 | + | 0.0514988i | ||||
\(687\) | 2.42166 | 0.0923923 | ||||||||
\(688\) | 8.67355 | + | 23.7773i | 0.330676 | + | 0.906500i | ||||
\(689\) | 6.43291i | 0.245075i | ||||||||
\(690\) | 1.62398 | + | 5.23262i | 0.0618238 | + | 0.199203i | ||||
\(691\) | 13.2275i | 0.503200i | 0.967831 | + | 0.251600i | \(0.0809567\pi\) | ||||
−0.967831 | + | 0.251600i | \(0.919043\pi\) | |||||||
\(692\) | −14.9930 | − | 10.4902i | −0.569948 | − | 0.398777i | ||||
\(693\) | −2.13751 | −0.0811974 | ||||||||
\(694\) | −40.6826 | − | 12.8192i | −1.54429 | − | 0.486608i | ||||
\(695\) | −11.6522 | −0.441993 | ||||||||
\(696\) | −18.8302 | − | 24.5127i | −0.713757 | − | 0.929150i | ||||
\(697\) | − | 43.8481i | − | 1.66086i | ||||||
\(698\) | 7.13358 | − | 22.6390i | 0.270010 | − | 0.856899i | ||||
\(699\) | − | 11.0837i | − | 0.419223i | ||||||
\(700\) | 7.56994 | + | 5.29648i | 0.286117 | + | 0.200188i | ||||
\(701\) | 35.7649i | 1.35082i | 0.737441 | + | 0.675411i | \(0.236034\pi\) | ||||
−0.737441 | + | 0.675411i | \(0.763966\pi\) | |||||||
\(702\) | 25.1921 | + | 7.93808i | 0.950815 | + | 0.299603i | ||||
\(703\) | − | 7.63157i | − | 0.287830i | ||||||
\(704\) | 3.42958 | − | 12.8547i | 0.129257 | − | 0.484480i | ||||
\(705\) | 0.253382i | 0.00954290i | ||||||||
\(706\) | −3.30132 | + | 10.4770i | −0.124247 | + | 0.394307i | ||||
\(707\) | 18.6063 | 0.699762 | ||||||||
\(708\) | −1.35965 | − | 0.951309i | −0.0510987 | − | 0.0357524i | ||||
\(709\) | − | 12.9817i | − | 0.487537i | −0.969834 | − | 0.243768i | \(-0.921616\pi\) | ||
0.969834 | − | 0.243768i | \(-0.0783836\pi\) | |||||||
\(710\) | −1.39298 | + | 4.42074i | −0.0522777 | + | 0.165907i | ||||
\(711\) | −9.15883 | −0.343483 | ||||||||
\(712\) | 26.4451 | + | 34.4255i | 0.991072 | + | 1.29015i | ||||
\(713\) | −4.42071 | − | 6.37675i | −0.165557 | − | 0.238811i | ||||
\(714\) | 4.23978 | − | 13.4553i | 0.158670 | − | 0.503551i | ||||
\(715\) | 3.41468i | 0.127702i | ||||||||
\(716\) | 1.52768 | − | 2.18342i | 0.0570920 | − | 0.0815981i | ||||
\(717\) | 28.7629 | 1.07417 | ||||||||
\(718\) | 14.6147 | − | 46.3811i | 0.545417 | − | 1.73093i | ||||
\(719\) | 13.3281i | 0.497055i | 0.968625 | + | 0.248528i | \(0.0799467\pi\) | ||||
−0.968625 | + | 0.248528i | \(0.920053\pi\) | |||||||
\(720\) | −2.97956 | + | 1.08690i | −0.111042 | + | 0.0405062i | ||||
\(721\) | −14.1583 | −0.527284 | ||||||||
\(722\) | 2.59257 | − | 8.22773i | 0.0964854 | − | 0.306204i | ||||
\(723\) | −1.78387 | −0.0663428 | ||||||||
\(724\) | −15.7174 | + | 22.4640i | −0.584134 | + | 0.834867i | ||||
\(725\) | 38.5526 | 1.43181 | ||||||||
\(726\) | −14.5438 | − | 4.58278i | −0.539772 | − | 0.170083i | ||||
\(727\) | −3.26208 | −0.120984 | −0.0604919 | − | 0.998169i | \(-0.519267\pi\) | ||||
−0.0604919 | + | 0.998169i | \(0.519267\pi\) | |||||||
\(728\) | 7.46556 | − | 5.73492i | 0.276692 | − | 0.212550i | ||||
\(729\) | −26.5324 | −0.982681 | ||||||||
\(730\) | −4.40527 | − | 1.38811i | −0.163046 | − | 0.0513761i | ||||
\(731\) | 48.2025i | 1.78283i | ||||||||
\(732\) | 4.30380 | + | 3.01125i | 0.159073 | + | 0.111299i | ||||
\(733\) | − | 15.8147i | − | 0.584131i | −0.956398 | − | 0.292065i | \(-0.905658\pi\) | ||
0.956398 | − | 0.292065i | \(-0.0943424\pi\) | |||||||
\(734\) | −10.9837 | + | 34.8576i | −0.405416 | + | 1.28662i | ||||
\(735\) | −0.807810 | −0.0297965 | ||||||||
\(736\) | 21.5855 | − | 16.4337i | 0.795651 | − | 0.605755i | ||||
\(737\) | −20.9426 | −0.771429 | ||||||||
\(738\) | −3.14431 | + | 9.97872i | −0.115744 | + | 0.367322i | ||||
\(739\) | 31.7215i | 1.16689i | 0.812151 | + | 0.583447i | \(0.198297\pi\) | ||||
−0.812151 | + | 0.583447i | \(0.801703\pi\) | |||||||
\(740\) | 1.53992 | + | 1.07744i | 0.0566085 | + | 0.0396074i | ||||
\(741\) | − | 21.8353i | − | 0.802141i | ||||||
\(742\) | −2.60697 | − | 0.821461i | −0.0957050 | − | 0.0301568i | ||||
\(743\) | −7.03275 | −0.258007 | −0.129003 | − | 0.991644i | \(-0.541178\pi\) | ||||
−0.129003 | + | 0.991644i | \(0.541178\pi\) | |||||||
\(744\) | −4.75205 | + | 3.65044i | −0.174218 | + | 0.133832i | ||||
\(745\) | −11.9201 | −0.436720 | ||||||||
\(746\) | 23.8068 | + | 7.50156i | 0.871629 | + | 0.274651i | ||||
\(747\) | 11.1056 | 0.406332 | ||||||||
\(748\) | 14.5259 | − | 20.7609i | 0.531118 | − | 0.759095i | ||||
\(749\) | 12.0171 | 0.439096 | ||||||||
\(750\) | −3.30269 | + | 10.4814i | −0.120597 | + | 0.382725i | ||||
\(751\) | −45.1648 | −1.64809 | −0.824044 | − | 0.566526i | \(-0.808287\pi\) | ||||
−0.824044 | + | 0.566526i | \(0.808287\pi\) | |||||||
\(752\) | 1.17869 | − | 0.429965i | 0.0429822 | − | 0.0156792i | ||||
\(753\) | 2.25628i | 0.0822235i | ||||||||
\(754\) | 11.8060 | − | 37.4674i | 0.429951 | − | 1.36448i | ||||
\(755\) | −0.454781 | −0.0165512 | ||||||||
\(756\) | −6.43389 | + | 9.19557i | −0.233998 | + | 0.334440i | ||||
\(757\) | 39.0402i | 1.41894i | 0.704735 | + | 0.709470i | \(0.251066\pi\) | ||||
−0.704735 | + | 0.709470i | \(0.748934\pi\) | |||||||
\(758\) | −5.32950 | + | 16.9136i | −0.193576 | + | 0.614329i | ||||
\(759\) | 5.95024 | + | 8.58307i | 0.215980 | + | 0.311546i | ||||
\(760\) | 5.32535 | + | 6.93240i | 0.193171 | + | 0.251464i | ||||
\(761\) | 7.60952 | 0.275845 | 0.137922 | − | 0.990443i | \(-0.455958\pi\) | ||||
0.137922 | + | 0.990443i | \(0.455958\pi\) | |||||||
\(762\) | −7.51635 | + | 23.8537i | −0.272289 | + | 0.864130i | ||||
\(763\) | 11.1834i | 0.404866i | ||||||||
\(764\) | −30.0794 | − | 21.0457i | −1.08823 | − | 0.761408i | ||||
\(765\) | −6.04032 | −0.218388 | ||||||||
\(766\) | 4.98752 | − | 15.8283i | 0.180207 | − | 0.571900i | ||||
\(767\) | − | 2.10892i | − | 0.0761485i | ||||||
\(768\) | −13.4904 | − | 16.0304i | −0.486791 | − | 0.578447i | ||||
\(769\) | 35.9590i | 1.29671i | 0.761336 | + | 0.648357i | \(0.224544\pi\) | ||||
−0.761336 | + | 0.648357i | \(0.775456\pi\) | |||||||
\(770\) | −1.38382 | − | 0.436042i | −0.0498692 | − | 0.0157139i | ||||
\(771\) | − | 10.0840i | − | 0.363166i | ||||||
\(772\) | −8.04900 | − | 5.63167i | −0.289690 | − | 0.202688i | ||||
\(773\) | 34.1435i | 1.22806i | 0.789283 | + | 0.614029i | \(0.210452\pi\) | ||||
−0.789283 | + | 0.614029i | \(0.789548\pi\) | |||||||
\(774\) | 3.45656 | − | 10.9697i | 0.124244 | − | 0.394297i | ||||
\(775\) | − | 7.47383i | − | 0.268468i | ||||||
\(776\) | 3.78234 | + | 4.92375i | 0.135778 | + | 0.176752i | ||||
\(777\) | 1.99467 | 0.0715586 | ||||||||
\(778\) | −38.9533 | − | 12.2743i | −1.39654 | − | 0.440053i | ||||
\(779\) | 28.8368 | 1.03318 | ||||||||
\(780\) | 4.40599 | + | 3.08275i | 0.157760 | + | 0.110380i | ||||
\(781\) | 8.83535i | 0.316154i | ||||||||
\(782\) | 49.3458 | − | 15.3148i | 1.76460 | − | 0.547655i | ||||
\(783\) | 46.8317i | 1.67363i | ||||||||
\(784\) | 1.37078 | + | 3.75779i | 0.0489564 | + | 0.134207i | ||||
\(785\) | −10.8148 | −0.385995 | ||||||||
\(786\) | 1.89870 | − | 6.02566i | 0.0677242 | − | 0.214928i | ||||
\(787\) | 20.8800 | 0.744292 | 0.372146 | − | 0.928174i | \(-0.378622\pi\) | ||||
0.372146 | + | 0.928174i | \(0.378622\pi\) | |||||||
\(788\) | −34.6887 | − | 24.2707i | −1.23573 | − | 0.864608i | ||||
\(789\) | − | 16.0910i | − | 0.572856i | ||||||
\(790\) | −5.92938 | − | 1.86836i | −0.210958 | − | 0.0664732i | ||||
\(791\) | 20.8589i | 0.741658i | ||||||||
\(792\) | −4.79447 | + | 3.68303i | −0.170364 | + | 0.130871i | ||||
\(793\) | 6.67552i | 0.237055i | ||||||||
\(794\) | −8.49620 | + | 26.9634i | −0.301519 | + | 0.956895i | ||||
\(795\) | − | 1.56130i | − | 0.0553736i | ||||||
\(796\) | −0.189209 | − | 0.132384i | −0.00670633 | − | 0.00469224i | ||||
\(797\) | − | 34.4641i | − | 1.22078i | −0.792101 | − | 0.610390i | \(-0.791013\pi\) | ||
0.792101 | − | 0.610390i | \(-0.208987\pi\) | |||||||
\(798\) | 8.84889 | + | 2.78830i | 0.313247 | + | 0.0987047i | ||||
\(799\) | 2.38949 | 0.0845341 | ||||||||
\(800\) | 26.1056 | − | 1.16326i | 0.922971 | − | 0.0411275i | ||||
\(801\) | − | 19.7267i | − | 0.697007i | ||||||
\(802\) | 27.6275 | + | 8.70548i | 0.975562 | + | 0.307401i | ||||
\(803\) | −8.80443 | −0.310702 | ||||||||
\(804\) | −18.9068 | + | 27.0224i | −0.666792 | + | 0.953006i | ||||
\(805\) | −1.68559 | − | 2.43142i | −0.0594093 | − | 0.0856964i | ||||
\(806\) | −7.26347 | − | 2.28873i | −0.255845 | − | 0.0806171i | ||||
\(807\) | 18.7936i | 0.661568i | ||||||||
\(808\) | 41.7342 | − | 32.0595i | 1.46820 | − | 1.12785i | ||||
\(809\) | −12.7210 | −0.447248 | −0.223624 | − | 0.974675i | \(-0.571789\pi\) | ||||
−0.223624 | + | 0.974675i | \(0.571789\pi\) | |||||||
\(810\) | −2.90577 | − | 0.915611i | −0.102098 | − | 0.0321713i | ||||
\(811\) | 10.3114i | 0.362082i | 0.983476 | + | 0.181041i | \(0.0579467\pi\) | ||||
−0.983476 | + | 0.181041i | \(0.942053\pi\) | |||||||
\(812\) | 13.6763 | + | 9.56893i | 0.479944 | + | 0.335803i | ||||
\(813\) | 32.2570 | 1.13130 | ||||||||
\(814\) | 3.41697 | + | 1.07669i | 0.119765 | + | 0.0377380i | ||||
\(815\) | 5.25499 | 0.184074 | ||||||||
\(816\) | −13.6742 | − | 37.4857i | −0.478692 | − | 1.31226i | ||||
\(817\) | −31.7004 | −1.10906 | ||||||||
\(818\) | −8.63509 | + | 27.4041i | −0.301919 | + | 0.958163i | ||||
\(819\) | −4.27795 | −0.149484 | ||||||||
\(820\) | −4.07122 | + | 5.81875i | −0.142173 | + | 0.203200i | ||||
\(821\) | −34.6141 | −1.20804 | −0.604020 | − | 0.796969i | \(-0.706435\pi\) | ||||
−0.604020 | + | 0.796969i | \(0.706435\pi\) | |||||||
\(822\) | 7.80753 | − | 24.7778i | 0.272319 | − | 0.864226i | ||||
\(823\) | 22.7285i | 0.792266i | 0.918193 | + | 0.396133i | \(0.129648\pi\) | ||||
−0.918193 | + | 0.396133i | \(0.870352\pi\) | |||||||
\(824\) | −31.7574 | + | 24.3955i | −1.10632 | + | 0.849857i | ||||
\(825\) | 10.0597i | 0.350235i | ||||||||
\(826\) | 0.854649 | + | 0.269301i | 0.0297371 | + | 0.00937019i | ||||
\(827\) | −18.7081 | −0.650545 | −0.325272 | − | 0.945620i | \(-0.605456\pi\) | ||||
−0.325272 | + | 0.945620i | \(0.605456\pi\) | |||||||
\(828\) | −12.3281 | − | 0.0532879i | −0.428430 | − | 0.00185188i | ||||
\(829\) | −18.2680 | −0.634475 | −0.317238 | − | 0.948346i | \(-0.602755\pi\) | ||||
−0.317238 | + | 0.948346i | \(0.602755\pi\) | |||||||
\(830\) | 7.18970 | + | 2.26549i | 0.249558 | + | 0.0786362i | ||||
\(831\) | − | 6.05708i | − | 0.210118i | ||||||
\(832\) | 6.86385 | − | 25.7270i | 0.237961 | − | 0.891923i | ||||
\(833\) | 7.61798i | 0.263947i | ||||||||
\(834\) | −10.5123 | + | 33.3615i | −0.364010 | + | 1.15521i | ||||
\(835\) | 13.8428 | 0.479051 | ||||||||
\(836\) | 13.6535 | + | 9.55296i | 0.472215 | + | 0.330396i | ||||
\(837\) | 9.07883 | 0.313810 | ||||||||
\(838\) | −11.3919 | + | 36.1532i | −0.393528 | + | 1.24889i | ||||
\(839\) | −1.42065 | −0.0490463 | −0.0245232 | − | 0.999699i | \(-0.507807\pi\) | ||||
−0.0245232 | + | 0.999699i | \(0.507807\pi\) | |||||||
\(840\) | −1.81193 | + | 1.39189i | −0.0625175 | + | 0.0480249i | ||||
\(841\) | 40.6513 | 1.40177 | ||||||||
\(842\) | −43.0218 | − | 13.5562i | −1.48263 | − | 0.467178i | ||||
\(843\) | 18.7652 | 0.646307 | ||||||||
\(844\) | 11.2068 | − | 16.0172i | 0.385754 | − | 0.551335i | ||||
\(845\) | − | 1.18569i | − | 0.0407891i | ||||||
\(846\) | −0.543788 | − | 0.171349i | −0.0186958 | − | 0.00589108i | ||||
\(847\) | 8.23429 | 0.282933 | ||||||||
\(848\) | −7.26289 | + | 2.64938i | −0.249409 | + | 0.0909801i | ||||
\(849\) | − | 9.07858i | − | 0.311576i | ||||||
\(850\) | 47.4665 | + | 14.9568i | 1.62809 | + | 0.513013i | ||||
\(851\) | 4.16213 | + | 6.00376i | 0.142676 | + | 0.205806i | ||||
\(852\) | 11.4003 | + | 7.97651i | 0.390569 | + | 0.273271i | ||||
\(853\) | 31.2790 | 1.07097 | 0.535487 | − | 0.844544i | \(-0.320128\pi\) | ||||
0.535487 | + | 0.844544i | \(0.320128\pi\) | |||||||
\(854\) | −2.70529 | − | 0.852441i | −0.0925732 | − | 0.0291699i | ||||
\(855\) | − | 3.97243i | − | 0.135854i | ||||||
\(856\) | 26.9546 | − | 20.7061i | 0.921289 | − | 0.707718i | ||||
\(857\) | 16.9004 | 0.577308 | 0.288654 | − | 0.957433i | \(-0.406792\pi\) | ||||
0.288654 | + | 0.957433i | \(0.406792\pi\) | |||||||
\(858\) | 9.77658 | + | 3.08061i | 0.333767 | + | 0.105170i | ||||
\(859\) | − | 49.5625i | − | 1.69105i | −0.533935 | − | 0.845526i | \(-0.679287\pi\) | ||
0.533935 | − | 0.845526i | \(-0.320713\pi\) | |||||||
\(860\) | 4.47552 | − | 6.39659i | 0.152614 | − | 0.218122i | ||||
\(861\) | 7.53710i | 0.256864i | ||||||||
\(862\) | 2.00981 | − | 6.37828i | 0.0684543 | − | 0.217245i | ||||
\(863\) | 9.77024i | 0.332583i | 0.986077 | + | 0.166291i | \(0.0531792\pi\) | ||||
−0.986077 | + | 0.166291i | \(0.946821\pi\) | |||||||
\(864\) | 1.41307 | + | 31.7117i | 0.0480737 | + | 1.07885i | ||||
\(865\) | 5.64417i | 0.191907i | ||||||||
\(866\) | −49.4470 | − | 15.5808i | −1.68028 | − | 0.529457i | ||||
\(867\) | − | 53.7320i | − | 1.82484i | ||||||
\(868\) | 1.85504 | − | 2.65130i | 0.0629641 | − | 0.0899908i | ||||
\(869\) | −11.8506 | −0.402002 | ||||||||
\(870\) | −2.86539 | + | 9.09354i | −0.0971458 | + | 0.308300i | ||||
\(871\) | −41.9137 | −1.42019 | ||||||||
\(872\) | 19.2695 | + | 25.0845i | 0.652547 | + | 0.849468i | ||||
\(873\) | − | 2.82143i | − | 0.0954908i | ||||||
\(874\) | 10.0718 | + | 32.4523i | 0.340683 | + | 1.09772i | ||||
\(875\) | − | 5.93424i | − | 0.200614i | ||||||
\(876\) | −7.94859 | + | 11.3604i | −0.268558 | + | 0.383834i | ||||
\(877\) | 40.2236 | 1.35825 | 0.679127 | − | 0.734021i | \(-0.262358\pi\) | ||||
0.679127 | + | 0.734021i | \(0.262358\pi\) | |||||||
\(878\) | 46.9154 | + | 14.7831i | 1.58332 | + | 0.498906i | ||||
\(879\) | 17.6520 | 0.595387 | ||||||||
\(880\) | −3.85524 | + | 1.40633i | −0.129960 | + | 0.0474073i | ||||
\(881\) | − | 29.3527i | − | 0.988919i | −0.869201 | − | 0.494459i | \(-0.835366\pi\) | ||
0.869201 | − | 0.494459i | \(-0.164634\pi\) | |||||||
\(882\) | 0.546279 | − | 1.73366i | 0.0183942 | − | 0.0583754i | ||||
\(883\) | − | 24.9882i | − | 0.840921i | −0.907311 | − | 0.420460i | \(-0.861869\pi\) | ||
0.907311 | − | 0.420460i | \(-0.138131\pi\) | |||||||
\(884\) | 29.0716 | − | 41.5503i | 0.977783 | − | 1.39749i | ||||
\(885\) | 0.511845i | 0.0172055i | ||||||||
\(886\) | 33.5477 | + | 10.5709i | 1.12706 | + | 0.355137i | ||||
\(887\) | − | 25.3732i | − | 0.851948i | −0.904735 | − | 0.425974i | \(-0.859931\pi\) | ||
0.904735 | − | 0.425974i | \(-0.140069\pi\) | |||||||
\(888\) | 4.47409 | − | 3.43691i | 0.150140 | − | 0.115335i | ||||
\(889\) | − | 13.5053i | − | 0.452953i | ||||||
\(890\) | 4.02414 | − | 12.7709i | 0.134890 | − | 0.428083i | ||||
\(891\) | −5.80751 | −0.194559 | ||||||||
\(892\) | −9.80234 | + | 14.0099i | −0.328207 | + | 0.469086i | ||||
\(893\) | 1.57145i | 0.0525867i | ||||||||
\(894\) | −10.7540 | + | 34.1286i | −0.359667 | + | 1.14143i | ||||
\(895\) | −0.821956 | −0.0274750 | ||||||||
\(896\) | 9.54951 | + | 6.06686i | 0.319027 | + | 0.202680i | ||||
\(897\) | 11.9086 | + | 17.1779i | 0.397617 | + | 0.573552i | ||||
\(898\) | 2.82563 | − | 8.96736i | 0.0942924 | − | 0.299245i | ||||
\(899\) | − | 13.5027i | − | 0.450339i | ||||||
\(900\) | −9.72965 | − | 6.80757i | −0.324322 | − | 0.226919i | ||||
\(901\) | −14.7237 | −0.490518 | ||||||||
\(902\) | −4.06840 | + | 12.9114i | −0.135463 | + | 0.429903i | ||||
\(903\) | − | 8.28559i | − | 0.275727i | ||||||
\(904\) | 35.9409 | + | 46.7869i | 1.19538 | + | 1.55611i | ||||
\(905\) | 8.45665 | 0.281109 | ||||||||
\(906\) | −0.410290 | + | 1.30209i | −0.0136310 | + | 0.0432589i | ||||
\(907\) | 15.1566 | 0.503266 | 0.251633 | − | 0.967823i | \(-0.419032\pi\) | ||||
0.251633 | + | 0.967823i | \(0.419032\pi\) | |||||||
\(908\) | −43.1665 | − | 30.2024i | −1.43253 | − | 1.00230i | ||||
\(909\) | −23.9147 | −0.793201 | ||||||||
\(910\) | −2.76952 | − | 0.872681i | −0.0918088 | − | 0.0289291i | ||||
\(911\) | −34.8863 | −1.15583 | −0.577917 | − | 0.816096i | \(-0.696134\pi\) | ||||
−0.577917 | + | 0.816096i | \(0.696134\pi\) | |||||||
\(912\) | 24.6525 | − | 8.99284i | 0.816327 | − | 0.297783i | ||||
\(913\) | 14.3694 | 0.475559 | ||||||||
\(914\) | 4.46519 | + | 1.40699i | 0.147695 | + | 0.0465391i | ||||
\(915\) | − | 1.62018i | − | 0.0535616i | ||||||
\(916\) | −2.12040 | + | 3.03057i | −0.0700601 | + | 0.100133i | ||||
\(917\) | 3.41155i | 0.112659i | ||||||||
\(918\) | −18.1687 | + | 57.6599i | −0.599657 | + | 1.90306i | ||||
\(919\) | 25.3371 | 0.835794 | 0.417897 | − | 0.908494i | \(-0.362767\pi\) | ||||
0.417897 | + | 0.908494i | \(0.362767\pi\) | |||||||
\(920\) | −7.97026 | − | 2.54936i | −0.262772 | − | 0.0840501i | ||||
\(921\) | 17.3557 | 0.571890 | ||||||||
\(922\) | 6.85172 | − | 21.7445i | 0.225649 | − | 0.716117i | ||||
\(923\) | 17.6828i | 0.582036i | ||||||||
\(924\) | −2.49687 | + | 3.56863i | −0.0821410 | + | 0.117399i | ||||
\(925\) | 7.03667i | 0.231364i | ||||||||
\(926\) | −8.43640 | − | 2.65832i | −0.277237 | − | 0.0873579i | ||||
\(927\) | 18.1977 | 0.597693 | ||||||||
\(928\) | 47.1638 | − | 2.10162i | 1.54823 | − | 0.0689890i | ||||
\(929\) | −57.6692 | −1.89207 | −0.946033 | − | 0.324070i | \(-0.894949\pi\) | ||||
−0.946033 | + | 0.324070i | \(0.894949\pi\) | |||||||
\(930\) | 1.76288 | + | 0.555486i | 0.0578071 | + | 0.0182151i | ||||
\(931\) | −5.00998 | −0.164195 | ||||||||
\(932\) | 13.8705 | + | 9.70483i | 0.454344 | + | 0.317892i | ||||
\(933\) | 10.3067 | 0.337427 | ||||||||
\(934\) | 8.72948 | − | 27.7037i | 0.285637 | − | 0.906493i | ||||
\(935\) | −7.81554 | −0.255595 | ||||||||
\(936\) | −9.59550 | + | 7.37110i | −0.313639 | + | 0.240932i | ||||
\(937\) | 52.8048i | 1.72506i | 0.506007 | + | 0.862529i | \(0.331121\pi\) | ||||
−0.506007 | + | 0.862529i | \(0.668879\pi\) | |||||||
\(938\) | 5.35224 | − | 16.9858i | 0.174757 | − | 0.554605i | ||||
\(939\) | −16.5086 | −0.538739 | ||||||||
\(940\) | −0.317092 | − | 0.221860i | −0.0103424 | − | 0.00723629i | ||||
\(941\) | − | 19.5588i | − | 0.637598i | −0.947822 | − | 0.318799i | \(-0.896720\pi\) | ||
0.947822 | − | 0.318799i | \(-0.103280\pi\) | |||||||
\(942\) | −9.75673 | + | 30.9638i | −0.317892 | + | 1.00885i | ||||
\(943\) | −22.6859 | + | 15.7271i | −0.738754 | + | 0.512144i | ||||
\(944\) | 2.38101 | − | 0.868553i | 0.0774953 | − | 0.0282690i | ||||
\(945\) | 3.46171 | 0.112609 | ||||||||
\(946\) | 4.47242 | − | 14.1936i | 0.145411 | − | 0.461473i | ||||
\(947\) | 30.1195i | 0.978753i | 0.872073 | + | 0.489377i | \(0.162776\pi\) | ||||
−0.872073 | + | 0.489377i | \(0.837224\pi\) | |||||||
\(948\) | −10.6986 | + | 15.2909i | −0.347475 | + | 0.496625i | ||||
\(949\) | −17.6209 | −0.571998 | ||||||||
\(950\) | −9.83635 | + | 31.2165i | −0.319133 | + | 1.01280i | ||||
\(951\) | 6.45416i | 0.209291i | ||||||||
\(952\) | 13.1261 | + | 17.0872i | 0.425420 | + | 0.553801i | ||||
\(953\) | 10.7801i | 0.349203i | 0.984639 | + | 0.174601i | \(0.0558637\pi\) | ||||
−0.984639 | + | 0.174601i | \(0.944136\pi\) | |||||||
\(954\) | 3.35075 | + | 1.05583i | 0.108484 | + | 0.0341836i | ||||
\(955\) | 11.3235i | 0.366420i | ||||||||
\(956\) | −25.1847 | + | 35.9950i | −0.814531 | + | 1.16416i | ||||
\(957\) | 18.1745i | 0.587498i | ||||||||
\(958\) | −10.7087 | + | 33.9848i | −0.345982 | + | 1.09800i | ||||
\(959\) | 14.0285i | 0.453003i | ||||||||
\(960\) | −1.66589 | + | 6.24408i | −0.0537664 | + | 0.201527i | ||||
\(961\) | 28.3824 | 0.915560 | ||||||||
\(962\) | 6.83861 | + | 2.15486i | 0.220486 | + | 0.0694753i | ||||
\(963\) | −15.4456 | −0.497729 | ||||||||
\(964\) | 1.56195 | − | 2.23240i | 0.0503071 | − | 0.0719009i | ||||
\(965\) | 3.03008i | 0.0975417i | ||||||||
\(966\) | −8.48211 | + | 2.63248i | −0.272907 | + | 0.0846985i | ||||
\(967\) | − | 54.3765i | − | 1.74863i | −0.485357 | − | 0.874316i | \(-0.661311\pi\) | ||
0.485357 | − | 0.874316i | \(-0.338689\pi\) | |||||||
\(968\) | 18.4696 | − | 14.1880i | 0.593636 | − | 0.456021i | ||||
\(969\) | 49.9769 | 1.60549 | ||||||||
\(970\) | 0.575557 | − | 1.82658i | 0.0184800 | − | 0.0586479i | ||||
\(971\) | −18.5459 | −0.595166 | −0.297583 | − | 0.954696i | \(-0.596181\pi\) | ||||
−0.297583 | + | 0.954696i | \(0.596181\pi\) | |||||||
\(972\) | 14.0587 | − | 20.0932i | 0.450933 | − | 0.644491i | ||||
\(973\) | − | 18.8883i | − | 0.605531i | ||||||
\(974\) | 26.1310 | + | 8.23391i | 0.837291 | + | 0.263832i | ||||
\(975\) | 20.1332i | 0.644779i | ||||||||
\(976\) | −7.53680 | + | 2.74930i | −0.241247 | + | 0.0880030i | ||||
\(977\) | 39.2526i | 1.25580i | 0.778293 | + | 0.627901i | \(0.216086\pi\) | ||||
−0.778293 | + | 0.627901i | \(0.783914\pi\) | |||||||
\(978\) | 4.74089 | − | 15.0456i | 0.151597 | − | 0.481105i | ||||
\(979\) | − | 25.5242i | − | 0.815757i | ||||||
\(980\) | 0.707317 | − | 1.01093i | 0.0225944 | − | 0.0322928i | ||||
\(981\) | − | 14.3740i | − | 0.458927i | ||||||
\(982\) | 29.3569 | + | 9.25039i | 0.936815 | + | 0.295192i | ||||
\(983\) | 26.3835 | 0.841504 | 0.420752 | − | 0.907176i | \(-0.361766\pi\) | ||||
0.420752 | + | 0.907176i | \(0.361766\pi\) | |||||||
\(984\) | 12.9868 | + | 16.9058i | 0.414003 | + | 0.538938i | ||||
\(985\) | 13.0587i | 0.416084i | ||||||||
\(986\) | 85.7558 | + | 27.0218i | 2.73102 | + | 0.860549i | ||||
\(987\) | −0.410733 | −0.0130738 | ||||||||
\(988\) | 27.3256 | + | 19.1190i | 0.869343 | + | 0.608256i | ||||
\(989\) | 24.9387 | − | 17.2889i | 0.793006 | − | 0.549754i | ||||
\(990\) | 1.77862 | + | 0.560446i | 0.0565283 | + | 0.0178121i | ||||
\(991\) | − | 20.4638i | − | 0.650054i | −0.945705 | − | 0.325027i | \(-0.894627\pi\) | ||
0.945705 | − | 0.325027i | \(-0.105373\pi\) | |||||||
\(992\) | −0.407421 | − | 9.14321i | −0.0129356 | − | 0.290297i | ||||
\(993\) | −24.6251 | −0.781453 | ||||||||
\(994\) | −7.16604 | − | 2.25803i | −0.227293 | − | 0.0716204i | ||||
\(995\) | 0.0712285i | 0.00225809i | ||||||||
\(996\) | 12.9727 | − | 18.5410i | 0.411054 | − | 0.587495i | ||||
\(997\) | −16.2728 | −0.515366 | −0.257683 | − | 0.966230i | \(-0.582959\pi\) | ||||
−0.257683 | + | 0.966230i | \(0.582959\pi\) | |||||||
\(998\) | 31.9916 | + | 10.0806i | 1.01268 | + | 0.319096i | ||||
\(999\) | −8.54778 | −0.270440 |
(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 | 644.2.c.a.183.21 | ✓ | 36 | |
4.3 | odd | 2 | 644.2.c.b.183.22 | yes | 36 | ||
23.22 | odd | 2 | 644.2.c.b.183.21 | yes | 36 | ||
92.91 | even | 2 | inner | 644.2.c.a.183.22 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
644.2.c.a.183.21 | ✓ | 36 | 1.1 | even | 1 | trivial | |
644.2.c.a.183.22 | yes | 36 | 92.91 | even | 2 | inner | |
644.2.c.b.183.21 | yes | 36 | 23.22 | odd | 2 | ||
644.2.c.b.183.22 | yes | 36 | 4.3 | odd | 2 |