Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(173,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 13, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.173");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.ca (of order \(18\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 173.3 | ||
Character | \(\chi\) | \(=\) | 756.173 |
Dual form | 756.2.ca.a.437.3 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −1.38241 | − | 1.04352i | −0.798136 | − | 0.602477i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.01034 | + | 1.68687i | −0.899051 | + | 0.754393i | −0.970005 | − | 0.243086i | \(-0.921840\pi\) |
0.0709539 | + | 0.997480i | \(0.477396\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.51700 | − | 0.815311i | −0.951335 | − | 0.308159i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.822127 | + | 2.88515i | 0.274042 | + | 0.961718i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.408189 | + | 0.486461i | −0.123074 | + | 0.146674i | −0.824063 | − | 0.566498i | \(-0.808298\pi\) |
0.700989 | + | 0.713172i | \(0.252742\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.83064 | + | 3.37342i | 0.785077 | + | 0.935619i | 0.999151 | − | 0.0411989i | \(-0.0131177\pi\) |
−0.214074 | + | 0.976817i | \(0.568673\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 4.53941 | − | 0.234125i | 1.17207 | − | 0.0604508i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.02938 | − | 6.97910i | 0.977269 | − | 1.69268i | 0.305035 | − | 0.952341i | \(-0.401332\pi\) |
0.672234 | − | 0.740338i | \(-0.265335\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.43287 | + | 1.98197i | −0.787554 | + | 0.454695i | −0.839101 | − | 0.543976i | \(-0.816918\pi\) |
0.0515467 | + | 0.998671i | \(0.483585\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.62873 | + | 3.75363i | 0.573636 | + | 0.819110i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.91284 | − | 5.25548i | 0.398854 | − | 1.09584i | −0.563989 | − | 0.825782i | \(-0.690734\pi\) |
0.962843 | − | 0.270061i | \(-0.0870438\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.327675 | − | 1.85834i | 0.0655351 | − | 0.371668i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.87420 | − | 4.84638i | 0.360690 | − | 0.932686i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.88838 | − | 5.82574i | 0.907749 | − | 1.08181i | −0.0885680 | − | 0.996070i | \(-0.528229\pi\) |
0.996317 | − | 0.0857433i | \(-0.0273265\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.25819 | − | 2.69120i | −0.405582 | − | 0.483354i | 0.524131 | − | 0.851637i | \(-0.324390\pi\) |
−0.929714 | + | 0.368283i | \(0.879946\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.07192 | − | 0.246535i | 0.186597 | − | 0.0429163i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 6.43534 | − | 2.60680i | 1.08777 | − | 0.440630i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.03080 | 1.15586 | 0.577928 | − | 0.816088i | \(-0.303861\pi\) | ||||
0.577928 | + | 0.816088i | \(0.303861\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.392870 | − | 7.61729i | −0.0629095 | − | 1.21974i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.16466 | + | 3.49456i | −0.650410 | + | 0.545759i | −0.907195 | − | 0.420710i | \(-0.861781\pi\) |
0.256785 | + | 0.966468i | \(0.417337\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.637408 | + | 0.231997i | −0.0972038 | + | 0.0353793i | −0.390164 | − | 0.920745i | \(-0.627582\pi\) |
0.292960 | + | 0.956125i | \(0.405360\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −6.51964 | − | 4.41331i | −0.971891 | − | 0.657897i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.16030 | − | 1.81271i | −0.315112 | − | 0.264411i | 0.471489 | − | 0.881872i | \(-0.343717\pi\) |
−0.786601 | + | 0.617461i | \(0.788161\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.67053 | + | 4.10427i | 0.810076 | + | 0.586324i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −12.8531 | + | 5.44324i | −1.79979 | + | 0.762206i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.98038 | − | 2.29807i | 0.546747 | − | 0.315665i | −0.201062 | − | 0.979579i | \(-0.564439\pi\) |
0.747809 | + | 0.663914i | \(0.231106\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 1.66652i | − | 0.224713i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.81386 | + | 0.842375i | 0.902518 | + | 0.111575i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.191808 | + | 1.08780i | 0.0249713 | + | 0.141619i | 0.994744 | − | 0.102389i | \(-0.0326487\pi\) |
−0.969773 | + | 0.244008i | \(0.921538\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.31335 | − | 1.56519i | 0.168157 | − | 0.200402i | −0.675384 | − | 0.737466i | \(-0.736022\pi\) |
0.843541 | + | 0.537064i | \(0.180467\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.283008 | − | 7.93221i | 0.0356556 | − | 0.999364i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −11.3811 | − | 2.00679i | −1.41165 | − | 0.248912i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 12.5827 | + | 4.57972i | 1.53722 | + | 0.559502i | 0.965376 | − | 0.260861i | \(-0.0840065\pi\) |
0.571843 | + | 0.820363i | \(0.306229\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −8.12853 | + | 5.26915i | −0.978560 | + | 0.634331i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.01970 | − | 3.47547i | 0.714406 | − | 0.412463i | −0.0982840 | − | 0.995158i | \(-0.531335\pi\) |
0.812690 | + | 0.582696i | \(0.198002\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 4.66728i | − | 0.546264i | −0.961977 | − | 0.273132i | \(-0.911940\pi\) | ||
0.961977 | − | 0.273132i | \(-0.0880596\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.39220 | + | 2.22705i | −0.276227 | + | 0.257158i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.42403 | − | 0.891619i | 0.162283 | − | 0.101609i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 13.9442 | − | 5.07526i | 1.56884 | − | 0.571012i | 0.596101 | − | 0.802909i | \(-0.296716\pi\) |
0.972740 | + | 0.231898i | \(0.0744935\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.64821 | + | 4.74392i | −0.849802 | + | 0.527103i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.855255 | − | 0.717644i | −0.0938764 | − | 0.0787717i | 0.594642 | − | 0.803991i | \(-0.297294\pi\) |
−0.688518 | + | 0.725219i | \(0.741738\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.67243 | + | 20.8274i | 0.398331 | + | 2.25905i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −12.8370 | + | 2.95245i | −1.37628 | + | 0.316536i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −6.95336 | − | 12.0436i | −0.737055 | − | 1.27662i | −0.953816 | − | 0.300392i | \(-0.902883\pi\) |
0.216761 | − | 0.976225i | \(-0.430451\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.37431 | − | 10.7987i | −0.458552 | − | 1.13202i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.313418 | + | 6.07682i | 0.0325000 | + | 0.630136i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.55790 | − | 9.77524i | 0.365033 | − | 1.00292i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.47800 | + | 15.0507i | 0.556207 | + | 1.52817i | 0.825095 | + | 0.564995i | \(0.191122\pi\) |
−0.268887 | + | 0.963172i | \(0.586656\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.73910 | − | 0.777756i | −0.174786 | − | 0.0781674i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.95071 | − | 1.07397i | 0.293607 | − | 0.106864i | −0.191017 | − | 0.981587i | \(-0.561179\pi\) |
0.484624 | + | 0.874723i | \(0.338956\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.25752 | − | 7.45742i | −0.616571 | − | 0.734801i | 0.363905 | − | 0.931436i | \(-0.381443\pi\) |
−0.980477 | + | 0.196635i | \(0.936999\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −11.6165 | − | 3.11174i | −1.13366 | − | 0.303675i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 11.7794 | + | 6.80085i | 1.13876 | + | 0.657463i | 0.946123 | − | 0.323807i | \(-0.104963\pi\) |
0.192637 | + | 0.981270i | \(0.438296\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.11868 | − | 12.3299i | −0.681846 | − | 1.18099i | −0.974417 | − | 0.224748i | \(-0.927844\pi\) |
0.292571 | − | 0.956244i | \(-0.405489\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −9.71946 | − | 7.33679i | −0.922531 | − | 0.696377i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.74448 | + | 4.79293i | −0.164107 | + | 0.450881i | −0.994303 | − | 0.106591i | \(-0.966006\pi\) |
0.830196 | + | 0.557472i | \(0.188229\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.01988 | + | 13.7920i | 0.468106 | + | 1.28611i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −7.40569 | + | 10.9402i | −0.684656 | + | 1.01142i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −15.8321 | + | 14.2812i | −1.45132 | + | 1.30915i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.84010 | + | 10.4357i | 0.167282 | + | 0.948704i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.40392 | − | 0.485018i | 0.847923 | − | 0.0437326i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −4.08473 | − | 7.07496i | −0.365349 | − | 0.632804i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.26064 | + | 7.37965i | −0.378071 | + | 0.654838i | −0.990782 | − | 0.135469i | \(-0.956746\pi\) |
0.612711 | + | 0.790307i | \(0.290079\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.12325 | + | 0.344432i | 0.0988970 | + | 0.0303256i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 17.0232 | + | 6.19594i | 1.48733 | + | 0.541342i | 0.952744 | − | 0.303775i | \(-0.0982471\pi\) |
0.534581 | + | 0.845117i | \(0.320469\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.2564 | − | 2.18975i | 0.889346 | − | 0.189875i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.40745 | + | 12.9044i | 0.379333 | + | 1.11063i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.918043 | + | 0.161876i | 0.0784337 | + | 0.0138300i | 0.212727 | − | 0.977112i | \(-0.431765\pi\) |
−0.134294 | + | 0.990942i | \(0.542877\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.49627 | − | 0.969140i | 0.466187 | − | 0.0822014i | 0.0643796 | − | 0.997925i | \(-0.479493\pi\) |
0.401808 | + | 0.915724i | \(0.368382\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.09483 | + | 4.76023i | 0.0922011 | + | 0.400884i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −2.79647 | −0.233853 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 19.9578i | 1.65740i | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −3.55612 | − | 11.5911i | −0.293304 | − | 0.956019i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 6.92823 | − | 1.22163i | 0.567583 | − | 0.100080i | 0.117510 | − | 0.993072i | \(-0.462509\pi\) |
0.450073 | + | 0.892992i | \(0.351398\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.7862 | − | 9.88980i | −0.959148 | − | 0.804820i | 0.0216665 | − | 0.999765i | \(-0.493103\pi\) |
−0.980814 | + | 0.194945i | \(0.937547\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 23.4484 | + | 5.88768i | 1.89569 | + | 0.475991i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 9.07944 | + | 1.60095i | 0.729278 | + | 0.128591i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −17.7713 | + | 3.13356i | −1.41830 | + | 0.250085i | −0.829642 | − | 0.558296i | \(-0.811455\pi\) |
−0.588660 | + | 0.808381i | \(0.700344\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −7.90062 | − | 0.976726i | −0.626560 | − | 0.0774594i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −9.09946 | + | 11.6685i | −0.717138 | + | 0.919603i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.76364 | − | 4.78676i | 0.216465 | − | 0.374928i | −0.737260 | − | 0.675609i | \(-0.763881\pi\) |
0.953725 | + | 0.300681i | \(0.0972140\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.73904 | + | 2.30381i | −0.135384 | + | 0.179351i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.905887 | − | 0.329716i | −0.0700996 | − | 0.0255142i | 0.306732 | − | 0.951796i | \(-0.400764\pi\) |
−0.376832 | + | 0.926282i | \(0.622987\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.11004 | + | 6.29535i | −0.0853877 | + | 0.484258i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −8.54053 | − | 8.27492i | −0.653111 | − | 0.632799i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.102770 | + | 0.582839i | −0.00781348 | + | 0.0443124i | −0.988465 | − | 0.151448i | \(-0.951606\pi\) |
0.980652 | + | 0.195760i | \(0.0627175\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.33988 | + | 4.41027i | −0.176878 | + | 0.333385i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.869983 | − | 1.70394i | 0.0653920 | − | 0.128076i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −13.3388 | − | 7.70116i | −0.996989 | − | 0.575612i | −0.0896332 | − | 0.995975i | \(-0.528569\pi\) |
−0.907356 | + | 0.420363i | \(0.861903\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.932828 | + | 0.538569i | 0.0693366 | + | 0.0400315i | 0.534267 | − | 0.845315i | \(-0.320588\pi\) |
−0.464931 | + | 0.885347i | \(0.653921\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.44890 | + | 0.793228i | −0.254950 | + | 0.0586371i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −14.1343 | + | 11.8601i | −1.03917 | + | 0.871970i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.75031 | + | 4.80893i | 0.127995 | + | 0.351664i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −8.66866 | + | 10.6703i | −0.630552 | + | 0.776147i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.633284 | − | 1.73993i | −0.0458228 | − | 0.125897i | 0.914670 | − | 0.404200i | \(-0.132450\pi\) |
−0.960493 | + | 0.278303i | \(0.910228\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.06982 | + | 5.93228i | −0.508897 | + | 0.427015i | −0.860741 | − | 0.509044i | \(-0.829999\pi\) |
0.351844 | + | 0.936059i | \(0.385555\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 13.6392 | + | 14.6506i | 0.976724 | + | 1.04915i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 10.0512 | + | 5.80304i | 0.716116 | + | 0.413450i | 0.813321 | − | 0.581815i | \(-0.197657\pi\) |
−0.0972057 | + | 0.995264i | \(0.530990\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.54008 | − | 5.50797i | −0.676278 | − | 0.390449i | 0.122173 | − | 0.992509i | \(-0.461014\pi\) |
−0.798451 | + | 0.602060i | \(0.794347\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −12.6154 | − | 19.4614i | −0.889823 | − | 1.37270i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −17.0538 | + | 10.6778i | −1.19694 | + | 0.749436i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.47748 | − | 14.0505i | 0.173035 | − | 0.981330i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 16.7355 | + | 1.19816i | 1.16319 | + | 0.0832777i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.437110 | − | 2.47897i | 0.0302355 | − | 0.171474i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −19.8285 | − | 7.21697i | −1.36505 | − | 0.496837i | −0.447437 | − | 0.894316i | \(-0.647663\pi\) |
−0.917611 | + | 0.397479i | \(0.869885\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −11.9484 | − | 1.47714i | −0.818693 | − | 0.101212i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.890055 | − | 1.54162i | 0.0607012 | − | 0.105138i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.48968 | + | 8.61487i | 0.236895 | + | 0.584815i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.87041 | + | 6.45211i | −0.329112 | + | 0.435993i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 34.9491 | − | 6.16248i | 2.35093 | − | 0.414533i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 23.8990 | + | 4.21405i | 1.60040 | + | 0.282193i | 0.901419 | − | 0.432948i | \(-0.142527\pi\) |
0.698979 | + | 0.715142i | \(0.253638\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.63098 | − | 0.582397i | 0.375399 | − | 0.0388265i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1.96894 | + | 1.65214i | 0.130683 | + | 0.109656i | 0.705787 | − | 0.708425i | \(-0.250594\pi\) |
−0.575103 | + | 0.818081i | \(0.695038\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.3860 | − | 2.36031i | 0.884571 | − | 0.155974i | 0.287135 | − | 0.957890i | \(-0.407297\pi\) |
0.597436 | + | 0.801917i | \(0.296186\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.89902 | − | 0.253418i | −0.190741 | − | 0.0166737i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − | 15.1229i | − | 0.990735i | −0.868683 | − | 0.495368i | \(-0.835033\pi\) | ||
0.868683 | − | 0.495368i | \(-0.164967\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.40075 | 0.482771 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −24.5727 | − | 7.53493i | −1.59617 | − | 0.489446i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −19.9067 | + | 3.51009i | −1.28766 | + | 0.227049i | −0.775228 | − | 0.631681i | \(-0.782365\pi\) |
−0.512428 | + | 0.858730i | \(0.671254\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.0899 | − | 2.48444i | −0.907613 | − | 0.160037i | −0.299694 | − | 0.954035i | \(-0.596884\pi\) |
−0.607919 | + | 0.793999i | \(0.707996\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.5234 | + | 1.42301i | 0.995825 | + | 0.0912864i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −18.3231 | + | 1.31451i | −1.17062 | + | 0.0839807i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −16.4032 | − | 5.97028i | −1.04371 | − | 0.379880i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.433438 | + | 1.88456i | 0.0274680 | + | 0.119429i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 11.6736 | − | 20.2193i | 0.736831 | − | 1.27623i | −0.217085 | − | 0.976153i | \(-0.569655\pi\) |
0.953916 | − | 0.300075i | \(-0.0970118\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.77579 | + | 3.07575i | 0.111643 | + | 0.193371i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 16.6570 | − | 32.6243i | 1.04310 | − | 2.04301i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2.08578 | − | 11.8291i | −0.130108 | − | 0.737876i | −0.978142 | − | 0.207936i | \(-0.933325\pi\) |
0.848035 | − | 0.529940i | \(-0.177786\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −17.6965 | − | 5.73229i | −1.09961 | − | 0.356187i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 20.8270 | + | 9.31422i | 1.28916 | + | 0.576536i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −10.3465 | − | 28.4269i | −0.637994 | − | 1.75287i | −0.657936 | − | 0.753074i | \(-0.728570\pi\) |
0.0199418 | − | 0.999801i | \(-0.493652\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.12535 | + | 11.3343i | −0.253418 | + | 0.696261i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.95531 | + | 23.9052i | −0.180862 | + | 1.46297i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −12.1233 | − | 20.9981i | −0.739170 | − | 1.28028i | −0.952870 | − | 0.303380i | \(-0.901885\pi\) |
0.213700 | − | 0.976899i | \(-0.431449\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 20.5884 | + | 11.8867i | 1.25066 | + | 0.722067i | 0.971240 | − | 0.238103i | \(-0.0765255\pi\) |
0.279417 | + | 0.960170i | \(0.409859\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −5.22161 | + | 19.4930i | −0.316026 | + | 1.17977i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.770256 | + | 0.917955i | 0.0464482 | + | 0.0553548i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 18.0535 | − | 6.57092i | 1.08473 | − | 0.394808i | 0.263062 | − | 0.964779i | \(-0.415268\pi\) |
0.821665 | + | 0.569970i | \(0.193045\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 5.90801 | − | 8.72772i | 0.353703 | − | 0.522515i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.71932 | − | 12.9662i | −0.281531 | − | 0.773500i | −0.997180 | − | 0.0750405i | \(-0.976091\pi\) |
0.715649 | − | 0.698460i | \(-0.246131\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.47923 | + | 23.2965i | −0.504038 | + | 1.38483i | 0.383262 | + | 0.923640i | \(0.374801\pi\) |
−0.887300 | + | 0.461193i | \(0.847422\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −15.1192 | + | 9.80067i | −0.895581 | + | 0.580542i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 13.3316 | − | 5.40031i | 0.786938 | − | 0.318770i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −23.9719 | − | 41.5205i | −1.41011 | − | 2.44238i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 8.13286 | − | 26.5227i | 0.476757 | − | 1.55479i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.54464 | + | 8.76011i | 0.0902391 | + | 0.511771i | 0.996103 | + | 0.0882016i | \(0.0281120\pi\) |
−0.905864 | + | 0.423570i | \(0.860777\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.22058 | − | 1.86329i | −0.129287 | − | 0.108485i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.59255 | + | 2.88996i | 0.0924089 | + | 0.167693i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 23.1435 | − | 8.42354i | 1.33842 | − | 0.487146i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.79350 | − | 0.0642507i | 0.103376 | − | 0.00370335i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −5.19981 | − | 1.59446i | −0.298721 | − | 0.0915993i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 5.36201i | 0.307028i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −19.1446 | + | 11.0532i | −1.09264 | + | 0.630837i | −0.934279 | − | 0.356543i | \(-0.883955\pi\) |
−0.158364 | + | 0.987381i | \(0.550622\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.868494 | + | 16.8391i | 0.0494069 | + | 0.957942i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 25.3382 | + | 9.22235i | 1.43680 | + | 0.522951i | 0.938871 | − | 0.344268i | \(-0.111873\pi\) |
0.497926 | + | 0.867220i | \(0.334095\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 22.5578 | + | 3.97755i | 1.27504 | + | 0.224825i | 0.769874 | − | 0.638195i | \(-0.220319\pi\) |
0.505170 | + | 0.863020i | \(0.331430\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 12.8117 | + | 16.4238i | 0.721857 | + | 0.925377i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.77225 | + | 3.30384i | −0.155705 | + | 0.185562i | −0.838258 | − | 0.545274i | \(-0.816425\pi\) |
0.682552 | + | 0.730837i | \(0.260870\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.838613 | + | 4.75601i | 0.0469533 | + | 0.266286i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −9.18719 | − | 21.6937i | −0.512779 | − | 1.21082i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 31.9444i | 1.77744i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.19649 | − | 4.15489i | 0.399189 | − | 0.230472i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −3.02558 | + | 24.4735i | −0.167315 | + | 1.35339i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.95955 | + | 6.32389i | 0.218297 | + | 0.348648i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.7527 | + | 16.5745i | 1.08571 | + | 0.911018i | 0.996382 | − | 0.0849845i | \(-0.0270841\pi\) |
0.0893266 | + | 0.996002i | \(0.471529\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 5.78021 | + | 20.2849i | 0.316754 | + | 1.11161i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −33.0209 | + | 12.0186i | −1.80412 | + | 0.656647i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 21.8311 | − | 18.3185i | 1.18922 | − | 0.997871i | 0.189344 | − | 0.981911i | \(-0.439364\pi\) |
0.999873 | − | 0.0159600i | \(-0.00508043\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 7.41312 | − | 4.80540i | 0.402625 | − | 0.260994i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.23093 | 0.120812 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.9265 | − | 14.9537i | −0.589973 | − | 0.807423i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 7.45271 | − | 24.3046i | 0.401240 | − | 1.30852i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 13.2197 | + | 15.7547i | 0.709673 | + | 0.845756i | 0.993584 | − | 0.113095i | \(-0.0360764\pi\) |
−0.283911 | + | 0.958851i | \(0.591632\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.15541 | − | 7.33574i | 0.329492 | − | 0.392673i | −0.575711 | − | 0.817653i | \(-0.695275\pi\) |
0.905203 | + | 0.424980i | \(0.139719\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 21.6540 | − | 7.39587i | 1.15581 | − | 0.394762i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.50081 | − | 8.51149i | 0.0798798 | − | 0.453021i | −0.918465 | − | 0.395503i | \(-0.870570\pi\) |
0.998344 | − | 0.0575179i | \(-0.0183186\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.23894 | + | 17.1413i | −0.331129 | + | 0.909768i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 36.7891 | − | 3.22133i | 1.94709 | − | 0.170491i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −7.80957 | + | 4.50886i | −0.412174 | + | 0.237969i | −0.691723 | − | 0.722163i | \(-0.743148\pi\) |
0.279550 | + | 0.960131i | \(0.409815\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.64361 | + | 2.84682i | −0.0865058 | + | 0.149832i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 8.34614 | − | 16.3467i | 0.438059 | − | 0.857979i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7.87312 | + | 9.38281i | 0.412098 | + | 0.491119i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.9181 | − | 16.5869i | 0.726519 | − | 0.865831i | −0.268728 | − | 0.963216i | \(-0.586603\pi\) |
0.995247 | + | 0.0973847i | \(0.0310477\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −13.5062 | − | 9.14270i | −0.703106 | − | 0.475950i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.8922 | + | 2.53899i | −0.617415 | + | 0.131818i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 22.6940 | − | 19.0425i | 1.17505 | − | 0.985984i | 0.175051 | − | 0.984559i | \(-0.443991\pi\) |
0.999999 | − | 0.00142479i | \(-0.000453525\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.73609 | + | 14.0430i | −0.0896513 | + | 0.725178i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 33.4899 | 1.72482 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −21.5189 | −1.10535 | −0.552675 | − | 0.833397i | \(-0.686393\pi\) | ||||
−0.552675 | + | 0.833397i | \(0.686393\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 13.5908 | − | 5.75565i | 0.696277 | − | 0.294871i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 10.0570 | − | 8.43886i | 0.513891 | − | 0.431206i | −0.348605 | − | 0.937270i | \(-0.613345\pi\) |
0.862496 | + | 0.506064i | \(0.168900\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.35873 | + | 4.19461i | −0.0692472 | + | 0.213777i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.19338 | − | 1.64829i | −0.0606628 | − | 0.0837871i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −11.4099 | + | 13.5978i | −0.578507 | + | 0.689438i | −0.973354 | − | 0.229309i | \(-0.926353\pi\) |
0.394846 | + | 0.918747i | \(0.370798\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −28.9709 | − | 34.5262i | −1.46512 | − | 1.74607i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −17.0675 | − | 26.3294i | −0.860942 | − | 1.32814i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −19.4712 | + | 33.7251i | −0.979701 | + | 1.69689i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.16682 | + | 4.71512i | −0.409881 | + | 0.236645i | −0.690739 | − | 0.723104i | \(-0.742714\pi\) |
0.280858 | + | 0.959749i | \(0.409381\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −16.4637 | − | 7.67567i | −0.824214 | − | 0.384264i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −9.21347 | + | 25.3138i | −0.460099 | + | 1.26411i | 0.465312 | + | 0.885146i | \(0.345942\pi\) |
−0.925411 | + | 0.378964i | \(0.876280\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.68645 | − | 15.2356i | 0.133822 | − | 0.758941i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 7.37310 | − | 22.4385i | 0.366372 | − | 1.11498i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.86990 | + | 3.42021i | −0.142255 | + | 0.169533i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −19.8440 | − | 23.6491i | −0.981222 | − | 1.16937i | −0.985550 | − | 0.169384i | \(-0.945822\pi\) |
0.00432797 | − | 0.999991i | \(-0.498622\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.10019 | − | 1.18178i | −0.0542685 | − | 0.0582927i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.404114 | − | 2.89437i | 0.0198852 | − | 0.142423i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.92993 | 0.143824 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −8.60942 | − | 4.39572i | −0.421605 | − | 0.215259i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 1.30333 | − | 1.09362i | 0.0636717 | − | 0.0534269i | −0.610396 | − | 0.792096i | \(-0.708990\pi\) |
0.674068 | + | 0.738669i | \(0.264545\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.04181 | + | 1.47110i | −0.196986 | + | 0.0716969i | −0.438629 | − | 0.898668i | \(-0.644536\pi\) |
0.241643 | + | 0.970365i | \(0.422314\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.45390 | − | 7.72307i | 0.167934 | − | 0.375509i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −11.6492 | − | 9.77484i | −0.565069 | − | 0.474149i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.58181 | + | 2.86878i | −0.221729 | + | 0.138830i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 3.86588 | + | 2.91818i | 0.186646 | + | 0.140891i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3.63284 | − | 2.09742i | 0.174988 | − | 0.101029i | −0.409948 | − | 0.912109i | \(-0.634453\pi\) |
0.584936 | + | 0.811080i | \(0.301120\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 8.83087i | − | 0.424385i | −0.977228 | − | 0.212192i | \(-0.931940\pi\) | ||
0.977228 | − | 0.212192i | \(-0.0680603\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 20.8264 | − | 27.5899i | 0.998549 | − | 1.32283i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.84967 | + | 21.8325i | 0.184155 | + | 1.04439i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.16356 | + | 3.77018i | −0.150988 | + | 0.179941i | −0.836237 | − | 0.548368i | \(-0.815249\pi\) |
0.685248 | + | 0.728309i | \(0.259694\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −7.17955 | + | 19.7346i | −0.341883 | + | 0.939742i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −17.1203 | − | 3.01878i | −0.813411 | − | 0.143426i | −0.248557 | − | 0.968617i | \(-0.579956\pi\) |
−0.564854 | + | 0.825191i | \(0.691068\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 34.2946 | + | 12.4822i | 1.62572 | + | 0.591714i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −10.8525 | − | 5.54096i | −0.513304 | − | 0.262078i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 1.41048 | − | 0.814341i | 0.0665647 | − | 0.0384311i | −0.466348 | − | 0.884601i | \(-0.654431\pi\) |
0.532913 | + | 0.846170i | \(0.321097\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 3.45239i | − | 0.162566i | ||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 5.97318 | + | 25.9709i | 0.280644 | + | 1.22022i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 27.0100 | + | 14.3302i | 1.26625 | + | 0.671810i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 29.3874 | − | 10.6961i | 1.37468 | − | 0.500344i | 0.454122 | − | 0.890940i | \(-0.349953\pi\) |
0.920562 | + | 0.390595i | \(0.127731\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −26.2715 | − | 32.6081i | −1.22625 | − | 1.52202i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 20.4541 | + | 17.1630i | 0.952641 | + | 0.799361i | 0.979740 | − | 0.200272i | \(-0.0641825\pi\) |
−0.0270990 | + | 0.999633i | \(0.508627\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.82238 | − | 10.3352i | −0.0846931 | − | 0.480318i | −0.997422 | − | 0.0717534i | \(-0.977141\pi\) |
0.912729 | − | 0.408565i | \(-0.133971\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −10.8809 | − | 11.6878i | −0.504590 | − | 0.542007i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.84784 | + | 3.20055i | 0.0855078 | + | 0.148104i | 0.905607 | − | 0.424117i | \(-0.139415\pi\) |
−0.820100 | + | 0.572221i | \(0.806082\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −27.9367 | − | 21.7859i | −1.28999 | − | 1.00598i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 27.8372 | + | 14.2128i | 1.28267 | + | 0.654893i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.147325 | − | 0.404773i | 0.00677402 | − | 0.0186115i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.55830 | + | 7.02887i | 0.117383 | + | 0.322507i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 9.90268 | + | 9.59470i | 0.453412 | + | 0.439311i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 20.0216 | − | 7.28728i | 0.914812 | − | 0.332964i | 0.158639 | − | 0.987337i | \(-0.449289\pi\) |
0.756173 | + | 0.654372i | \(0.227067\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 19.9016 | + | 23.7178i | 0.907436 | + | 1.08144i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 24.7555 | − | 6.63514i | 1.12641 | − | 0.301910i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −36.4013 | − | 21.0163i | −1.65290 | − | 0.954300i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.17289 | − | 7.22766i | −0.189092 | − | 0.327516i | 0.755856 | − | 0.654738i | \(-0.227221\pi\) |
−0.944948 | + | 0.327222i | \(0.893888\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −8.81557 | + | 3.73336i | −0.398654 | + | 0.168828i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.78557 | + | 7.65329i | −0.125711 | + | 0.345388i | −0.986543 | − | 0.163501i | \(-0.947721\pi\) |
0.860832 | + | 0.508889i | \(0.169944\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −20.9613 | − | 57.5906i | −0.944048 | − | 2.59375i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.80815 | − | 1.37009i | 0.216110 | − | 0.0615808i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −17.9851 | + | 3.83982i | −0.806744 | + | 0.172240i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.77318 | + | 27.0701i | 0.213677 | + | 1.21182i | 0.883188 | + | 0.469020i | \(0.155393\pi\) |
−0.669511 | + | 0.742803i | \(0.733496\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.908244 | + | 1.40112i | 0.0405773 | + | 0.0625972i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −0.341404 | − | 0.591329i | −0.0152225 | − | 0.0263661i | 0.858314 | − | 0.513125i | \(-0.171512\pi\) |
−0.873536 | + | 0.486759i | \(0.838179\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.12028 | + | 7.13653i | −0.183350 | + | 0.317571i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 8.10387 | − | 7.54442i | 0.359905 | − | 0.335059i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −40.6264 | − | 14.7868i | −1.80073 | − | 0.655413i | −0.998276 | − | 0.0587014i | \(-0.981304\pi\) |
−0.802456 | − | 0.596711i | \(-0.796474\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.80529 | + | 11.7475i | −0.168336 | + | 0.519680i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 3.17148 | + | 20.3516i | 0.140024 | + | 0.898544i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 25.1595 | + | 4.43629i | 1.10866 | + | 0.195486i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.76362 | − | 0.310974i | 0.0775640 | − | 0.0136766i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.750276 | − | 0.698481i | 0.0329335 | − | 0.0306599i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 33.5793 | 1.47114 | 0.735568 | − | 0.677451i | \(-0.236915\pi\) | ||||
0.735568 | + | 0.677451i | \(0.236915\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 15.8523i | − | 0.693173i | −0.938018 | − | 0.346586i | \(-0.887341\pi\) | ||
0.938018 | − | 0.346586i | \(-0.112659\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 7.83689 | − | 3.65510i | 0.342030 | − | 0.159522i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −27.8813 | + | 4.91622i | −1.21453 | + | 0.214154i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.34208 | − | 5.32164i | −0.275743 | − | 0.231376i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2.98078 | + | 1.44771i | −0.129355 | + | 0.0628251i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −23.5773 | − | 4.15731i | −1.02124 | − | 0.180073i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −35.1528 | + | 6.19839i | −1.51979 | + | 0.267980i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 10.4034 | + | 24.5655i | 0.448940 | + | 1.06008i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −4.31122 | + | 1.08317i | −0.185697 | + | 0.0466556i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.71319 | + | 15.0917i | −0.374609 | + | 0.648842i | −0.990268 | − | 0.139170i | \(-0.955556\pi\) |
0.615659 | + | 0.788012i | \(0.288890\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.727545 | − | 1.71795i | −0.0312220 | − | 0.0737243i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 35.1100 | + | 12.7790i | 1.50395 | + | 0.547392i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.05757 | − | 28.6829i | 0.216246 | − | 1.22639i | −0.662485 | − | 0.749075i | \(-0.730498\pi\) |
0.878731 | − | 0.477317i | \(-0.158391\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 5.59555 | + | 2.50243i | 0.238812 | + | 0.106801i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.23473 | + | 29.6876i | −0.223007 | + | 1.26474i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −39.2353 | + | 1.40557i | −1.66846 | + | 0.0597711i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 31.9157 | − | 1.64608i | 1.35474 | − | 0.0698724i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.93471 | + | 2.27170i | 0.166719 | + | 0.0962552i | 0.581038 | − | 0.813877i | \(-0.302647\pi\) |
−0.414319 | + | 0.910132i | \(0.635980\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.58689 | − | 1.49354i | −0.109414 | − | 0.0631702i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.59857 | − | 8.47441i | 0.109712 | − | 0.357790i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −3.68246 | + | 3.08995i | −0.155197 | + | 0.130226i | −0.717080 | − | 0.696991i | \(-0.754522\pi\) |
0.561883 | + | 0.827217i | \(0.310077\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.57807 | − | 12.5781i | −0.192601 | − | 0.529166i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 23.1183 | − | 5.70476i | 0.970877 | − | 0.239577i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 12.3625 | + | 33.9657i | 0.518263 | + | 1.42392i | 0.872432 | + | 0.488735i | \(0.162542\pi\) |
−0.354169 | + | 0.935181i | \(0.615236\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.86718 | + | 8.27954i | −0.412929 | + | 0.346488i | −0.825465 | − | 0.564453i | \(-0.809087\pi\) |
0.412537 | + | 0.910941i | \(0.364643\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −0.940198 | + | 3.06615i | −0.0392773 | + | 0.128090i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −9.13967 | − | 5.27679i | −0.381151 | − | 0.220057i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.81328 | + | 3.35630i | 0.242010 | + | 0.139725i | 0.616100 | − | 0.787668i | \(-0.288712\pi\) |
−0.374090 | + | 0.927392i | \(0.622045\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 15.9639 | − | 0.823354i | 0.663435 | − | 0.0342174i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.56757 | + | 2.50361i | 0.0650337 | + | 0.103867i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.506825 | + | 2.87435i | −0.0209906 | + | 0.119043i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.56679 | − | 34.4860i | −0.147469 | − | 1.42582i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 2.54009 | − | 14.4056i | 0.104841 | − | 0.594581i | −0.886443 | − | 0.462837i | \(-0.846831\pi\) |
0.991284 | − | 0.131743i | \(-0.0420575\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 13.0859 | + | 4.76289i | 0.539196 | + | 0.196251i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −7.83925 | − | 18.5108i | −0.322464 | − | 0.761432i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 20.4263 | − | 35.3794i | 0.838809 | − | 1.45286i | −0.0520821 | − | 0.998643i | \(-0.516586\pi\) |
0.890891 | − | 0.454217i | \(-0.150081\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.73732 | − | 55.4167i | 0.317199 | − | 2.27186i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 7.44064 | + | 17.5695i | 0.304525 | + | 0.719074i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −32.9819 | + | 5.81559i | −1.34760 | + | 0.237619i | −0.800442 | − | 0.599410i | \(-0.795402\pi\) |
−0.547160 | + | 0.837028i | \(0.684291\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −39.7569 | − | 7.01021i | −1.62172 | − | 0.285953i | −0.712312 | − | 0.701863i | \(-0.752352\pi\) |
−0.909406 | + | 0.415911i | \(0.863463\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.86863 | + | 40.0681i | −0.116820 | + | 1.63170i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −21.3030 | − | 17.8754i | −0.866091 | − | 0.726737i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 19.2678 | − | 3.39743i | 0.782055 | − | 0.137897i | 0.231654 | − | 0.972798i | \(-0.425586\pi\) |
0.550400 | + | 0.834901i | \(0.314475\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 34.7179 | + | 3.03488i | 1.40684 | + | 0.122979i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 12.4187i | − | 0.502408i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 21.0322 | 0.849484 | 0.424742 | − | 0.905314i | \(-0.360365\pi\) | ||||
0.424742 | + | 0.905314i | \(0.360365\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −18.0869 | + | 16.8383i | −0.729334 | + | 0.678985i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.9370 | + | 2.98646i | −0.681859 | + | 0.120230i | −0.503840 | − | 0.863797i | \(-0.668080\pi\) |
−0.178019 | + | 0.984027i | \(0.556969\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.72838 | + | 1.71538i | 0.391017 | + | 0.0689468i | 0.365700 | − | 0.930733i | \(-0.380830\pi\) |
0.0253164 | + | 0.999679i | \(0.491941\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −21.8850 | − | 19.1201i | −0.878215 | − | 0.767265i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 7.68232 | + | 35.9828i | 0.307786 | + | 1.44162i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 29.0123 | + | 10.5596i | 1.16049 | + | 0.422384i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.19113 | + | 2.97083i | −0.127441 | + | 0.118644i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 28.3298 | − | 49.0686i | 1.12958 | − | 1.95649i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.3688 | + | 23.1555i | 0.532204 | + | 0.921804i | 0.999293 | + | 0.0375939i | \(0.0119693\pi\) |
−0.467089 | + | 0.884210i | \(0.654697\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 19.8801 | + | 30.6683i | 0.790161 | + | 1.21895i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −3.88321 | − | 22.0228i | −0.154100 | − | 0.873946i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.20579 | + | 30.7468i | 0.0873965 | + | 1.21823i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 14.9762 | + | 14.5105i | 0.592450 | + | 0.574025i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −6.68607 | − | 18.3698i | −0.264084 | − | 0.725564i | −0.998882 | − | 0.0472781i | \(-0.984945\pi\) |
0.734798 | − | 0.678286i | \(-0.237277\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −8.14572 | + | 22.3802i | −0.321236 | + | 0.882588i | 0.669010 | + | 0.743254i | \(0.266719\pi\) |
−0.990245 | + | 0.139334i | \(0.955504\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.83914 | + | 1.20236i | −0.111791 | + | 0.0473430i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 5.30690 | + | 9.19182i | 0.208636 | + | 0.361368i | 0.951285 | − | 0.308313i | \(-0.0997644\pi\) |
−0.742649 | + | 0.669680i | \(0.766431\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.607466 | − | 0.350721i | −0.0238451 | − | 0.0137670i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4.16562 | − | 15.5509i | 0.163264 | − | 0.609486i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −18.0356 | − | 21.4940i | −0.705787 | − | 0.841125i | 0.287381 | − | 0.957816i | \(-0.407215\pi\) |
−0.993168 | + | 0.116692i | \(0.962771\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −44.6742 | + | 16.2601i | −1.74557 | + | 0.635334i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 13.4658 | − | 3.83710i | 0.525352 | − | 0.149699i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 14.7119 | + | 40.4206i | 0.573094 | + | 1.57456i | 0.799587 | + | 0.600551i | \(0.205052\pi\) |
−0.226492 | + | 0.974013i | \(0.572726\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.41490 | + | 25.8672i | −0.366197 | + | 1.00612i | 0.610598 | + | 0.791941i | \(0.290929\pi\) |
−0.976795 | + | 0.214177i | \(0.931293\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −54.7448 | − | 27.9511i | −2.12611 | − | 1.08553i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −16.9251 | + | 21.7035i | −0.656326 | + | 0.841624i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −21.2664 | − | 36.8345i | −0.823438 | − | 1.42624i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −28.6409 | − | 30.7647i | −1.10732 | − | 1.18943i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.225308 | + | 1.27779i | 0.00869793 | + | 0.0493284i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.0731 | − | 9.29143i | −0.426836 | − | 0.358158i | 0.403920 | − | 0.914794i | \(-0.367647\pi\) |
−0.830757 | + | 0.556636i | \(0.812092\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −8.39208 | − | 5.07094i | −0.323011 | − | 0.195180i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 13.6558 | − | 4.97032i | 0.524836 | − | 0.191025i | −0.0659950 | − | 0.997820i | \(-0.521022\pi\) |
0.590831 | + | 0.806795i | \(0.298800\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.51711 | − | 42.3488i | −0.0582214 | − | 1.62520i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.997846 | − | 4.33856i | −0.0382376 | − | 0.166254i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 43.5520i | 1.66647i | 0.552917 | + | 0.833236i | \(0.313515\pi\) | ||||
−0.552917 | + | 0.833236i | \(0.686485\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.11864 | + | 1.22320i | −0.0809491 | + | 0.0467360i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −20.9680 | − | 10.7056i | −0.799978 | − | 0.408445i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 19.0194 | + | 6.92249i | 0.724581 | + | 0.263726i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.21794 | + | 0.743737i | 0.160458 | + | 0.0282931i | 0.253300 | − | 0.967388i | \(-0.418484\pi\) |
−0.0928420 | + | 0.995681i | \(0.529595\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 3.74319 | + | 3.37551i | 0.142192 | + | 0.128225i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −9.41454 | + | 11.2198i | −0.357114 | + | 0.425592i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.60789 | + | 43.1465i | 0.288169 | + | 1.63429i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −15.7811 | + | 20.9061i | −0.596895 | + | 0.790741i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 18.9199i | 0.714595i | 0.933991 | + | 0.357297i | \(0.116302\pi\) | ||||
−0.933991 | + | 0.357297i | \(0.883698\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −24.1358 | + | 13.9348i | −0.910299 | + | 0.525562i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −10.2309 | − | 7.72283i | −0.385317 | − | 0.290859i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −8.30255 | + | 0.297432i | −0.312250 | + | 0.0111861i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.31877 | + | 1.94568i | 0.0870831 | + | 0.0730714i | 0.685290 | − | 0.728270i | \(-0.259675\pi\) |
−0.598207 | + | 0.801342i | \(0.704120\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 26.1068 | + | 36.0585i | 0.979081 | + | 1.35230i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −18.4631 | + | 6.72002i | −0.691449 | + | 0.251667i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.62186 | − | 4.71730i | 0.210246 | − | 0.176417i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 31.1821 | + | 15.9207i | 1.16452 | + | 0.594568i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.543044 | 0.0202521 | 0.0101261 | − | 0.999949i | \(-0.496777\pi\) | ||||
0.0101261 | + | 0.999949i | \(0.496777\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.67002 | + | 23.8721i | 0.360131 | + | 0.889044i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 16.8855 | + | 18.1377i | 0.627980 | + | 0.674547i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −9.22440 | − | 10.9932i | −0.342586 | − | 0.408278i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −24.2349 | + | 28.8820i | −0.898821 | + | 1.07117i | 0.0982857 | + | 0.995158i | \(0.468664\pi\) |
−0.997107 | + | 0.0760149i | \(0.975780\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −19.9748 | − | 18.1662i | −0.739806 | − | 0.672821i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.949227 | + | 5.38334i | −0.0351084 | + | 0.199110i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.08763 | − | 8.48319i | 0.114044 | − | 0.313334i | −0.869519 | − | 0.493900i | \(-0.835571\pi\) |
0.983563 | + | 0.180566i | \(0.0577931\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 26.7018 | + | 17.3033i | 0.984910 | + | 0.638243i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −7.36397 | + | 4.25159i | −0.271255 | + | 0.156609i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.82993 | + | 17.0259i | −0.361600 | + | 0.626309i | −0.988224 | − | 0.153012i | \(-0.951103\pi\) |
0.626624 | + | 0.779321i | \(0.284436\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 16.4459 | + | 25.3705i | 0.604155 | + | 0.932008i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −7.89524 | − | 9.40918i | −0.289648 | − | 0.345189i | 0.601524 | − | 0.798855i | \(-0.294561\pi\) |
−0.891172 | + | 0.453665i | \(0.850116\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.8673 | + | 14.1430i | −0.434786 | + | 0.518158i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.36738 | − | 3.05754i | 0.0500300 | − | 0.111869i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −24.1039 | − | 26.7216i | −0.880739 | − | 0.976387i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.7750 | + | 9.88037i | −0.429674 | + | 0.360540i | −0.831829 | − | 0.555032i | \(-0.812706\pi\) |
0.402154 | + | 0.915572i | \(0.368262\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −37.2369 | + | 15.7697i | −1.35699 | + | 0.574680i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 40.3771 | 1.46947 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.2152 | 0.698390 | 0.349195 | − | 0.937050i | \(-0.386455\pi\) | ||||
0.349195 | + | 0.937050i | \(0.386455\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.754743 | − | 6.10502i | 0.0273955 | − | 0.221598i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −25.5250 | + | 21.4180i | −0.925279 | + | 0.776401i | −0.974964 | − | 0.222364i | \(-0.928623\pi\) |
0.0496848 | + | 0.998765i | \(0.484178\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.86497 | + | 36.8383i | 0.284731 | + | 1.33364i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −57.0711 | + | 27.7183i | −2.06341 | + | 1.00216i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −3.12667 | + | 3.72621i | −0.112897 | + | 0.134546i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.96014 | − | 2.33600i | −0.0706843 | − | 0.0842383i | 0.729543 | − | 0.683934i | \(-0.239733\pi\) |
−0.800228 | + | 0.599696i | \(0.795288\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −9.46046 | + | 18.5292i | −0.340710 | + | 0.667313i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −11.9954 | + | 20.7767i | −0.431445 | + | 0.747285i | −0.996998 | − | 0.0774272i | \(-0.975329\pi\) |
0.565553 | + | 0.824712i | \(0.308663\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.74112 | + | 3.31464i | −0.206227 | + | 0.119065i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 18.4821 | + | 26.3911i | 0.663041 | + | 0.946774i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 7.37061 | − | 20.2506i | 0.264080 | − | 0.725553i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.766493 | + | 4.34700i | −0.0274273 | + | 0.155548i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −19.0720 | − | 34.6095i | −0.681576 | − | 1.23684i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 30.4404 | − | 36.2774i | 1.08646 | − | 1.29480i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9.36700 | + | 11.1632i | 0.333897 | + | 0.397924i | 0.906704 | − | 0.421767i | \(-0.138590\pi\) |
−0.572807 | + | 0.819690i | \(0.694145\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −15.3609 | + | 50.0945i | −0.546861 | + | 1.78341i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 8.29859 | − | 10.6415i | 0.295064 | − | 0.378368i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 8.99765 | 0.319516 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 17.5305 | − | 11.3638i | 0.621744 | − | 0.403032i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −32.9880 | + | 27.6802i | −1.16850 | + | 0.980484i | −0.999986 | − | 0.00521632i | \(-0.998340\pi\) |
−0.168509 | + | 0.985700i | \(0.553895\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −21.3557 | + | 7.77285i | −0.755512 | + | 0.274984i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 29.0310 | − | 29.9629i | 1.02576 | − | 1.05869i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 2.27045 | + | 1.90513i | 0.0801224 | + | 0.0672307i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.39024 | − | 38.8072i | −0.0489994 | − | 1.36777i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −5.15263 | + | 41.6790i | −0.181381 | + | 1.46717i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 11.1160 | − | 6.41785i | 0.390819 | − | 0.225640i | −0.291696 | − | 0.956511i | \(-0.594219\pi\) |
0.682515 | + | 0.730871i | \(0.260886\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 17.1111i | 0.600851i | 0.953805 | + | 0.300425i | \(0.0971286\pi\) | ||||
−0.953805 | + | 0.300425i | \(0.902871\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −16.0576 | − | 37.9168i | −0.563165 | − | 1.32980i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 2.51882 | + | 14.2849i | 0.0882303 | + | 0.500379i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.72833 | − | 2.05974i | 0.0604664 | − | 0.0720611i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 27.5598 | − | 21.4985i | 0.963016 | − | 0.751218i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −35.1941 | − | 6.20568i | −1.22828 | − | 0.216580i | −0.478396 | − | 0.878144i | \(-0.658782\pi\) |
−0.749888 | + | 0.661565i | \(0.769893\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.5867 | − | 4.94517i | −0.473604 | − | 0.172378i | 0.0941802 | − | 0.995555i | \(-0.469977\pi\) |
−0.567784 | + | 0.823177i | \(0.692199\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.106905 | − | 2.07277i | −0.00372197 | − | 0.0721646i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −11.6145 | + | 6.70561i | −0.403874 | + | 0.233177i | −0.688154 | − | 0.725564i | \(-0.741579\pi\) |
0.284280 | + | 0.958741i | \(0.408245\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 48.7434i | 1.69293i | 0.532446 | + | 0.846464i | \(0.321273\pi\) | ||||
−0.532446 | + | 0.846464i | \(0.678727\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −31.8142 | − | 9.75545i | −1.10362 | − | 0.338413i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 51.4929 | − | 23.0375i | 1.78412 | − | 0.798203i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.37733 | − | 0.865277i | 0.0822709 | − | 0.0299441i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −17.2749 | + | 5.90018i | −0.597107 | + | 0.203940i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −12.0259 | − | 10.0909i | −0.415179 | − | 0.348377i | 0.411146 | − | 0.911569i | \(-0.365129\pi\) |
−0.826326 | + | 0.563192i | \(0.809573\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.00724 | − | 28.3975i | −0.172663 | − | 0.979223i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −7.00649 | + | 22.8494i | −0.241316 | + | 0.786974i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −8.38791 | − | 14.5283i | −0.288553 | − | 0.499788i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.87685 | − | 27.7670i | 0.133210 | − | 0.954085i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 36.0322 | − | 23.3571i | 1.23662 | − | 0.801613i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 13.4488 | − | 36.9502i | 0.461018 | − | 1.26664i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.29133 | − | 20.0328i | −0.249650 | − | 0.685909i | −0.999699 | − | 0.0245263i | \(-0.992192\pi\) |
0.750049 | − | 0.661382i | \(-0.230030\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 31.1281 | + | 2.22859i | 1.06456 | + | 0.0762160i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −4.05119 | + | 1.47451i | −0.138386 | + | 0.0503683i | −0.410285 | − | 0.911958i | \(-0.634571\pi\) |
0.271899 | + | 0.962326i | \(0.412348\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 20.1834 | + | 24.0537i | 0.688650 | + | 0.820701i | 0.991192 | − | 0.132435i | \(-0.0422797\pi\) |
−0.302542 | + | 0.953136i | \(0.597835\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −24.0651 | − | 6.44634i | −0.820135 | − | 0.219691i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −22.4488 | − | 12.9608i | −0.764165 | − | 0.441191i | 0.0666239 | − | 0.997778i | \(-0.478777\pi\) |
−0.830789 | + | 0.556587i | \(0.812111\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.776573 | − | 1.34506i | −0.0264043 | − | 0.0457336i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −10.1885 | + | 82.4136i | −0.346020 | + | 2.79891i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.22294 | + | 8.85496i | −0.109331 | + | 0.300384i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 20.1677 | + | 55.4102i | 0.683355 | + | 1.87750i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −38.9199 | + | 28.1785i | −1.31724 | + | 0.953696i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 4.51295 | + | 21.1380i | 0.152566 | + | 0.714594i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.75989 | − | 49.6798i | −0.295800 | − | 1.67757i | −0.663931 | − | 0.747794i | \(-0.731113\pi\) |
0.368131 | − | 0.929774i | \(-0.379998\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 7.00603 | − | 13.7220i | 0.236307 | − | 0.462830i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.2598 | + | 22.9666i | 0.446734 | + | 0.773766i | 0.998171 | − | 0.0604506i | \(-0.0192538\pi\) |
−0.551437 | + | 0.834216i | \(0.685920\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 17.7664 | − | 30.7722i | 0.597885 | − | 1.03557i | −0.395247 | − | 0.918575i | \(-0.629341\pi\) |
0.993133 | − | 0.116993i | \(-0.0373255\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.12538 | + | 4.89306i | 0.0378291 | + | 0.164478i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −9.20249 | − | 3.34943i | −0.308989 | − | 0.112463i | 0.182871 | − | 0.983137i | \(-0.441461\pi\) |
−0.491861 | + | 0.870674i | \(0.663683\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 16.7407 | − | 15.1008i | 0.561466 | − | 0.506464i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.814184 | − | 5.65698i | 0.0272762 | − | 0.189516i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 11.0088 | + | 1.94114i | 0.368394 | + | 0.0649578i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 39.8064 | − | 7.01895i | 1.33058 | − | 0.234617i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −40.7840 | − | 12.5059i | −1.36174 | − | 0.417560i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −26.7171 | −0.891066 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 37.0393i | − | 1.23396i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −2.54641 | − | 1.78274i | −0.0847391 | − | 0.0593258i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.78380 | + | 0.490859i | −0.0925366 | + | 0.0163167i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.00516 | + | 7.55623i | 0.299011 | + | 0.250900i | 0.779933 | − | 0.625863i | \(-0.215253\pi\) |
−0.480921 | + | 0.876764i | \(0.659698\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 5.52443 | + | 7.63031i | 0.183234 | + | 0.253082i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 56.5365 | + | 9.96892i | 1.87314 | + | 0.330285i | 0.990250 | − | 0.139298i | \(-0.0444846\pi\) |
0.882888 | + | 0.469583i | \(0.155596\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.698212 | − | 0.123114i | 0.0231074 | − | 0.00407446i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 5.59538 | − | 7.41251i | 0.184977 | − | 0.245050i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −37.7957 | − | 29.4744i | −1.24813 | − | 0.973330i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.33126 | − | 10.9661i | 0.208849 | − | 0.361737i | −0.742503 | − | 0.669843i | \(-0.766362\pi\) |
0.951352 | + | 0.308105i | \(0.0996949\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 38.0000 | + | 4.69781i | 1.25214 | + | 0.154798i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 28.7638 | + | 10.4692i | 0.946772 | + | 0.344597i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.30382 | − | 13.0656i | 0.0757491 | − | 0.429595i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 16.3713 | − | 24.1848i | 0.537705 | − | 0.794334i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 7.28069 | − | 41.2909i | 0.238872 | − | 1.35471i | −0.595433 | − | 0.803405i | \(-0.703019\pi\) |
0.834304 | − | 0.551304i | \(-0.185870\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −27.6007 | − | 2.85061i | −0.904577 | − | 0.0934248i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −25.4041 | − | 39.1900i | −0.831693 | − | 1.28302i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −11.6308 | − | 6.71503i | −0.380367 | − | 0.219605i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 32.3294 | + | 18.6654i | 1.05616 | + | 0.609772i | 0.924367 | − | 0.381505i | \(-0.124594\pi\) |
0.131790 | + | 0.991278i | \(0.457928\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −27.0336 | − | 29.0382i | −0.882207 | − | 0.947626i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 19.1474 | − | 16.0666i | 0.624187 | − | 0.523755i | −0.274930 | − | 0.961464i | \(-0.588655\pi\) |
0.899116 | + | 0.437710i | \(0.144210\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 10.3993 | + | 28.5718i | 0.338647 | + | 0.930426i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.572440 | − | 36.0738i | −0.0186215 | − | 1.17348i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 8.35293 | + | 22.9495i | 0.271434 | + | 0.745758i | 0.998262 | + | 0.0589382i | \(0.0187715\pi\) |
−0.726828 | + | 0.686819i | \(0.759006\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 15.7447 | − | 13.2114i | 0.511095 | − | 0.428859i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 7.28003 | − | 1.67437i | 0.236071 | − | 0.0542951i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 21.6346 | + | 12.4907i | 0.700812 | + | 0.404614i | 0.807650 | − | 0.589662i | \(-0.200739\pi\) |
−0.106838 | + | 0.994276i | \(0.534073\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.20816 | + | 2.42958i | 0.136173 | + | 0.0786195i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 3.80369 | − | 7.44988i | 0.122956 | − | 0.240820i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.17873 | − | 1.15593i | −0.0703549 | − | 0.0373270i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.23993 | − | 18.3746i | 0.104514 | − | 0.592728i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −9.93732 | + | 39.5766i | −0.320226 | + | 1.27534i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.20571 | − | 23.8518i | 0.135387 | − | 0.767816i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.06564 | − | 0.751830i | −0.0664263 | − | 0.0241772i | 0.308593 | − | 0.951194i | \(-0.400142\pi\) |
−0.375020 | + | 0.927017i | \(0.622364\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 33.3347 | − | 44.1604i | 1.07086 | − | 1.41864i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −13.9368 | + | 24.1393i | −0.447253 | + | 0.774666i | −0.998206 | − | 0.0598708i | \(-0.980931\pi\) |
0.550953 | + | 0.834536i | \(0.314264\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −14.6242 | − | 2.04185i | −0.468831 | − | 0.0654586i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −14.2842 | − | 1.76591i | −0.457462 | − | 0.0565544i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −7.56835 | + | 1.33451i | −0.242133 | + | 0.0426946i | −0.293398 | − | 0.955991i | \(-0.594786\pi\) |
0.0512645 | + | 0.998685i | \(0.483675\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.69702 | + | 1.53352i | 0.277958 | + | 0.0490115i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 29.7212 | − | 30.6752i | 0.948926 | − | 0.979385i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 47.7893 | + | 40.1000i | 1.52424 | + | 1.27899i | 0.827095 | + | 0.562062i | \(0.189992\pi\) |
0.697147 | + | 0.716929i | \(0.254453\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −29.9952 | + | 5.28897i | −0.955728 | + | 0.168521i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.12539 | − | 12.8741i | 0.0358216 | − | 0.409787i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 3.79366i | 0.120631i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.6865 | −0.561829 | −0.280914 | − | 0.959733i | \(-0.590638\pi\) | ||||
−0.280914 | + | 0.959733i | \(0.590638\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −10.0106 | − | 43.5252i | −0.317676 | − | 1.38123i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 28.4700 | − | 5.02003i | 0.902561 | − | 0.159146i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.3435 | + | 3.23445i | 0.580943 | + | 0.102436i | 0.456394 | − | 0.889778i | \(-0.349141\pi\) |
0.124549 | + | 0.992213i | \(0.460252\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 13.1771 | − | 34.0739i | 0.416906 | − | 1.07805i |
(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 | 756.2.ca.a.173.3 | ✓ | 144 | |
7.3 | odd | 6 | 756.2.ck.a.605.13 | yes | 144 | ||
27.5 | odd | 18 | 756.2.ck.a.5.13 | yes | 144 | ||
189.59 | even | 18 | inner | 756.2.ca.a.437.3 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.ca.a.173.3 | ✓ | 144 | 1.1 | even | 1 | trivial | |
756.2.ca.a.437.3 | yes | 144 | 189.59 | even | 18 | inner | |
756.2.ck.a.5.13 | yes | 144 | 27.5 | odd | 18 | ||
756.2.ck.a.605.13 | yes | 144 | 7.3 | odd | 6 |