Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [560,2,Mod(139,560)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(560, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("560.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 560 = 2^{4} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 560.be (of order \(4\), degree \(2\), 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: | \(4.47162251319\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(92\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 139.4 | ||
Character | \(\chi\) | \(=\) | 560.139 |
Dual form | 560.2.be.a.419.4 |
$q$-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 \(\left(\mathbb{Z}/560\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(351\) | \(421\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40363 | + | 0.172701i | −0.992516 | + | 0.122118i | ||||
\(3\) | 0.710544 | + | 0.710544i | 0.410233 | + | 0.410233i | 0.881820 | − | 0.471587i | \(-0.156319\pi\) |
−0.471587 | + | 0.881820i | \(0.656319\pi\) | |||||||
\(4\) | 1.94035 | − | 0.484816i | 0.970174 | − | 0.242408i | ||||
\(5\) | −1.39309 | − | 1.74909i | −0.623009 | − | 0.782215i | ||||
\(6\) | −1.12005 | − | 0.874629i | −0.457259 | − | 0.357066i | ||||
\(7\) | 2.62345 | + | 0.342784i | 0.991572 | + | 0.129560i | ||||
\(8\) | −2.63980 | + | 1.01560i | −0.933311 | + | 0.359069i | ||||
\(9\) | − | 1.99025i | − | 0.663418i | ||||||
\(10\) | 2.25745 | + | 2.21448i | 0.713868 | + | 0.700280i | ||||
\(11\) | 1.25363 | − | 1.25363i | 0.377985 | − | 0.377985i | −0.492390 | − | 0.870375i | \(-0.663877\pi\) |
0.870375 | + | 0.492390i | \(0.163877\pi\) | |||||||
\(12\) | 1.72319 | + | 1.03422i | 0.497441 | + | 0.298554i | ||||
\(13\) | −1.04503 | + | 1.04503i | −0.289840 | + | 0.289840i | −0.837017 | − | 0.547177i | \(-0.815702\pi\) |
0.547177 | + | 0.837017i | \(0.315702\pi\) | |||||||
\(14\) | −3.74155 | − | 0.0280698i | −0.999972 | − | 0.00750197i | ||||
\(15\) | 0.252951 | − | 2.23265i | 0.0653117 | − | 0.576469i | ||||
\(16\) | 3.52991 | − | 1.88142i | 0.882477 | − | 0.470356i | ||||
\(17\) | −4.22346 | −1.02434 | −0.512170 | − | 0.858884i | \(-0.671158\pi\) | ||||
−0.512170 | + | 0.858884i | \(0.671158\pi\) | |||||||
\(18\) | 0.343719 | + | 2.79358i | 0.0810153 | + | 0.658453i | ||||
\(19\) | 2.54075 | − | 2.54075i | 0.582889 | − | 0.582889i | −0.352807 | − | 0.935696i | \(-0.614773\pi\) |
0.935696 | + | 0.352807i | \(0.114773\pi\) | |||||||
\(20\) | −3.55106 | − | 2.71845i | −0.794042 | − | 0.607863i | ||||
\(21\) | 1.62051 | + | 2.10764i | 0.353625 | + | 0.459925i | ||||
\(22\) | −1.54313 | + | 1.97614i | −0.328997 | + | 0.421315i | ||||
\(23\) | − | 7.07967i | − | 1.47621i | −0.674684 | − | 0.738106i | \(-0.735720\pi\) | ||
0.674684 | − | 0.738106i | \(-0.264280\pi\) | |||||||
\(24\) | −2.59732 | − | 1.15407i | −0.530177 | − | 0.235573i | ||||
\(25\) | −1.11860 | + | 4.87327i | −0.223721 | + | 0.974653i | ||||
\(26\) | 1.28636 | − | 1.64732i | 0.252276 | − | 0.323065i | ||||
\(27\) | 3.54580 | − | 3.54580i | 0.682389 | − | 0.682389i | ||||
\(28\) | 5.25660 | − | 0.606770i | 0.993404 | − | 0.114669i | ||||
\(29\) | 2.76891 | − | 2.76891i | 0.514174 | − | 0.514174i | −0.401629 | − | 0.915803i | \(-0.631556\pi\) |
0.915803 | + | 0.401629i | \(0.131556\pi\) | |||||||
\(30\) | 0.0305316 | + | 3.17750i | 0.00557429 | + | 0.580130i | ||||
\(31\) | −7.99208 | −1.43542 | −0.717710 | − | 0.696342i | \(-0.754810\pi\) | ||||
−0.717710 | + | 0.696342i | \(0.754810\pi\) | |||||||
\(32\) | −4.62976 | + | 3.25044i | −0.818433 | + | 0.574602i | ||||
\(33\) | 1.78153 | 0.310124 | ||||||||
\(34\) | 5.92818 | − | 0.729396i | 1.01667 | − | 0.125090i | ||||
\(35\) | −3.05514 | − | 5.06617i | −0.516414 | − | 0.856339i | ||||
\(36\) | −0.964907 | − | 3.86179i | −0.160818 | − | 0.643631i | ||||
\(37\) | 4.40780 | − | 4.40780i | 0.724638 | − | 0.724638i | −0.244908 | − | 0.969546i | \(-0.578758\pi\) |
0.969546 | + | 0.244908i | \(0.0787578\pi\) | |||||||
\(38\) | −3.12748 | + | 4.00506i | −0.507345 | + | 0.649707i | ||||
\(39\) | −1.48508 | −0.237804 | ||||||||
\(40\) | 5.45385 | + | 3.20242i | 0.862330 | + | 0.506347i | ||||
\(41\) | 0.571658 | 0.0892779 | 0.0446390 | − | 0.999003i | \(-0.485786\pi\) | ||||
0.0446390 | + | 0.999003i | \(0.485786\pi\) | |||||||
\(42\) | −2.63859 | − | 2.67848i | −0.407144 | − | 0.413299i | ||||
\(43\) | 4.18907 | + | 4.18907i | 0.638827 | + | 0.638827i | 0.950266 | − | 0.311439i | \(-0.100811\pi\) |
−0.311439 | + | 0.950266i | \(0.600811\pi\) | |||||||
\(44\) | 1.82471 | − | 3.04027i | 0.275085 | − | 0.458338i | ||||
\(45\) | −3.48113 | + | 2.77260i | −0.518936 | + | 0.413315i | ||||
\(46\) | 1.22266 | + | 9.93723i | 0.180272 | + | 1.46516i | ||||
\(47\) | 4.81785i | 0.702755i | 0.936234 | + | 0.351377i | \(0.114287\pi\) | ||||
−0.936234 | + | 0.351377i | \(0.885713\pi\) | |||||||
\(48\) | 3.84499 | + | 1.17132i | 0.554976 | + | 0.169065i | ||||
\(49\) | 6.76500 | + | 1.79856i | 0.966428 | + | 0.256937i | ||||
\(50\) | 0.728487 | − | 7.03344i | 0.103024 | − | 0.994679i | ||||
\(51\) | −3.00096 | − | 3.00096i | −0.420218 | − | 0.420218i | ||||
\(52\) | −1.52108 | + | 2.53438i | −0.210936 | + | 0.351455i | ||||
\(53\) | 8.83776 | − | 8.83776i | 1.21396 | − | 1.21396i | 0.244247 | − | 0.969713i | \(-0.421459\pi\) |
0.969713 | − | 0.244247i | \(-0.0785407\pi\) | |||||||
\(54\) | −4.36462 | + | 5.58934i | −0.593949 | + | 0.760613i | ||||
\(55\) | −3.93914 | − | 0.446290i | −0.531154 | − | 0.0601777i | ||||
\(56\) | −7.27352 | + | 1.75950i | −0.971966 | + | 0.235123i | ||||
\(57\) | 3.61063 | 0.478240 | ||||||||
\(58\) | −3.40833 | + | 4.36472i | −0.447536 | + | 0.573116i | ||||
\(59\) | 6.43996 | + | 6.43996i | 0.838411 | + | 0.838411i | 0.988650 | − | 0.150239i | \(-0.0480042\pi\) |
−0.150239 | + | 0.988650i | \(0.548004\pi\) | |||||||
\(60\) | −0.591612 | − | 4.45476i | −0.0763768 | − | 0.575107i | ||||
\(61\) | −4.84494 | − | 4.84494i | −0.620331 | − | 0.620331i | 0.325285 | − | 0.945616i | \(-0.394540\pi\) |
−0.945616 | + | 0.325285i | \(0.894540\pi\) | |||||||
\(62\) | 11.2179 | − | 1.38024i | 1.42468 | − | 0.175291i | ||||
\(63\) | 0.682228 | − | 5.22134i | 0.0859527 | − | 0.657827i | ||||
\(64\) | 5.93711 | − | 5.36197i | 0.742138 | − | 0.670247i | ||||
\(65\) | 3.28368 | + | 0.372028i | 0.407290 | + | 0.0461444i | ||||
\(66\) | −2.50060 | + | 0.307671i | −0.307803 | + | 0.0378717i | ||||
\(67\) | 8.90708 | − | 8.90708i | 1.08817 | − | 1.08817i | 0.0924565 | − | 0.995717i | \(-0.470528\pi\) |
0.995717 | − | 0.0924565i | \(-0.0294719\pi\) | |||||||
\(68\) | −8.19499 | + | 2.04760i | −0.993789 | + | 0.248308i | ||||
\(69\) | 5.03041 | − | 5.03041i | 0.605591 | − | 0.605591i | ||||
\(70\) | 5.16322 | + | 6.58340i | 0.617123 | + | 0.786867i | ||||
\(71\) | −7.37828 | −0.875640 | −0.437820 | − | 0.899063i | \(-0.644249\pi\) | ||||
−0.437820 | + | 0.899063i | \(0.644249\pi\) | |||||||
\(72\) | 2.02131 | + | 5.25388i | 0.238213 | + | 0.619175i | ||||
\(73\) | 1.46130i | 0.171033i | 0.996337 | + | 0.0855163i | \(0.0272540\pi\) | ||||
−0.996337 | + | 0.0855163i | \(0.972746\pi\) | |||||||
\(74\) | −5.42569 | + | 6.94815i | −0.630723 | + | 0.807706i | ||||
\(75\) | −4.25749 | + | 2.66785i | −0.491612 | + | 0.308057i | ||||
\(76\) | 3.69815 | − | 6.16174i | 0.424207 | − | 0.706801i | ||||
\(77\) | 3.71858 | − | 2.85912i | 0.423771 | − | 0.325827i | ||||
\(78\) | 2.08451 | − | 0.256475i | 0.236024 | − | 0.0290401i | ||||
\(79\) | − | 2.86081i | − | 0.321866i | −0.986965 | − | 0.160933i | \(-0.948550\pi\) | ||
0.986965 | − | 0.160933i | \(-0.0514503\pi\) | |||||||
\(80\) | −8.20825 | − | 3.55312i | −0.917710 | − | 0.397251i | ||||
\(81\) | −0.931878 | −0.103542 | ||||||||
\(82\) | −0.802395 | + | 0.0987258i | −0.0886097 | + | 0.0109024i | ||||
\(83\) | −5.10460 | − | 5.10460i | −0.560303 | − | 0.560303i | 0.369091 | − | 0.929393i | \(-0.379669\pi\) |
−0.929393 | + | 0.369091i | \(0.879669\pi\) | |||||||
\(84\) | 4.16618 | + | 3.30391i | 0.454568 | + | 0.360486i | ||||
\(85\) | 5.88366 | + | 7.38720i | 0.638173 | + | 0.801254i | ||||
\(86\) | −6.60336 | − | 5.15644i | −0.712058 | − | 0.556034i | ||||
\(87\) | 3.93487 | 0.421862 | ||||||||
\(88\) | −2.03615 | + | 4.58254i | −0.217055 | + | 0.488501i | ||||
\(89\) | 11.3485 | 1.20294 | 0.601470 | − | 0.798895i | \(-0.294582\pi\) | ||||
0.601470 | + | 0.798895i | \(0.294582\pi\) | |||||||
\(90\) | 4.40738 | − | 4.49290i | 0.464579 | − | 0.473593i | ||||
\(91\) | −3.09981 | + | 2.38337i | −0.324949 | + | 0.249845i | ||||
\(92\) | −3.43233 | − | 13.7370i | −0.357846 | − | 1.43218i | ||||
\(93\) | −5.67872 | − | 5.67872i | −0.588856 | − | 0.588856i | ||||
\(94\) | −0.832046 | − | 6.76247i | −0.0858190 | − | 0.697495i | ||||
\(95\) | −7.98349 | − | 0.904499i | −0.819089 | − | 0.0927996i | ||||
\(96\) | −5.59923 | − | 0.980066i | −0.571469 | − | 0.100028i | ||||
\(97\) | 13.8813 | 1.40943 | 0.704714 | − | 0.709492i | \(-0.251075\pi\) | ||||
0.704714 | + | 0.709492i | \(0.251075\pi\) | |||||||
\(98\) | −9.80616 | − | 1.35619i | −0.990572 | − | 0.136995i | ||||
\(99\) | −2.49505 | − | 2.49505i | −0.250762 | − | 0.250762i | ||||
\(100\) | 0.192156 | + | 9.99815i | 0.0192156 | + | 0.999815i | ||||
\(101\) | −11.4852 | + | 11.4852i | −1.14282 | + | 1.14282i | −0.154884 | + | 0.987933i | \(0.549500\pi\) |
−0.987933 | + | 0.154884i | \(0.950500\pi\) | |||||||
\(102\) | 4.73050 | + | 3.69396i | 0.468389 | + | 0.365757i | ||||
\(103\) | −9.94884 | −0.980288 | −0.490144 | − | 0.871642i | \(-0.663056\pi\) | ||||
−0.490144 | + | 0.871642i | \(0.663056\pi\) | |||||||
\(104\) | 1.69734 | − | 3.82002i | 0.166438 | − | 0.374584i | ||||
\(105\) | 1.42892 | − | 5.77055i | 0.139449 | − | 0.563148i | ||||
\(106\) | −10.8786 | + | 13.9312i | −1.05663 | + | 1.35312i | ||||
\(107\) | 6.74670 | + | 6.74670i | 0.652228 | + | 0.652228i | 0.953529 | − | 0.301301i | \(-0.0974209\pi\) |
−0.301301 | + | 0.953529i | \(0.597421\pi\) | |||||||
\(108\) | 5.16102 | − | 8.59914i | 0.496620 | − | 0.827452i | ||||
\(109\) | −7.64738 | + | 7.64738i | −0.732486 | + | 0.732486i | −0.971112 | − | 0.238626i | \(-0.923303\pi\) |
0.238626 | + | 0.971112i | \(0.423303\pi\) | |||||||
\(110\) | 5.60617 | − | 0.0538679i | 0.534527 | − | 0.00513611i | ||||
\(111\) | 6.26387 | 0.594541 | ||||||||
\(112\) | 9.90546 | − | 3.72583i | 0.935978 | − | 0.352058i | ||||
\(113\) | 10.4708i | 0.985012i | 0.870309 | + | 0.492506i | \(0.163919\pi\) | ||||
−0.870309 | + | 0.492506i | \(0.836081\pi\) | |||||||
\(114\) | −5.06799 | + | 0.623559i | −0.474661 | + | 0.0584017i | ||||
\(115\) | −12.3829 | + | 9.86261i | −1.15472 | + | 0.919693i | ||||
\(116\) | 4.03024 | − | 6.71507i | 0.374199 | − | 0.623478i | ||||
\(117\) | 2.07988 | + | 2.07988i | 0.192285 | + | 0.192285i | ||||
\(118\) | −10.1515 | − | 7.92712i | −0.934521 | − | 0.729751i | ||||
\(119\) | −11.0801 | − | 1.44774i | −1.01571 | − | 0.132714i | ||||
\(120\) | 1.59975 | + | 6.15066i | 0.146036 | + | 0.561476i | ||||
\(121\) | 7.85680i | 0.714254i | ||||||||
\(122\) | 7.63722 | + | 5.96377i | 0.691441 | + | 0.539934i | ||||
\(123\) | 0.406188 | + | 0.406188i | 0.0366247 | + | 0.0366247i | ||||
\(124\) | −15.5074 | + | 3.87469i | −1.39261 | + | 0.347957i | ||||
\(125\) | 10.0821 | − | 4.83236i | 0.901768 | − | 0.432220i | ||||
\(126\) | −0.0558661 | + | 7.44664i | −0.00497695 | + | 0.663400i | ||||
\(127\) | −18.2928 | −1.62323 | −0.811613 | − | 0.584196i | \(-0.801410\pi\) | ||||
−0.811613 | + | 0.584196i | \(0.801410\pi\) | |||||||
\(128\) | −7.40748 | + | 8.55156i | −0.654735 | + | 0.755859i | ||||
\(129\) | 5.95304i | 0.524136i | ||||||||
\(130\) | −4.67331 | + | 0.0449044i | −0.409877 | + | 0.00393838i | ||||
\(131\) | −3.62031 | + | 3.62031i | −0.316308 | + | 0.316308i | −0.847347 | − | 0.531039i | \(-0.821802\pi\) |
0.531039 | + | 0.847347i | \(0.321802\pi\) | |||||||
\(132\) | 3.45678 | − | 0.863712i | 0.300874 | − | 0.0751765i | ||||
\(133\) | 7.53647 | − | 5.79461i | 0.653495 | − | 0.502457i | ||||
\(134\) | −10.9640 | + | 14.0405i | −0.947143 | + | 1.21291i | ||||
\(135\) | −11.1415 | − | 1.26229i | −0.958909 | − | 0.108641i | ||||
\(136\) | 11.1491 | − | 4.28936i | 0.956028 | − | 0.367809i | ||||
\(137\) | −13.8892 | −1.18663 | −0.593316 | − | 0.804969i | \(-0.702182\pi\) | ||||
−0.593316 | + | 0.804969i | \(0.702182\pi\) | |||||||
\(138\) | −6.19208 | + | 7.92959i | −0.527105 | + | 0.675012i | ||||
\(139\) | 1.39107 | + | 1.39107i | 0.117989 | + | 0.117989i | 0.763636 | − | 0.645647i | \(-0.223412\pi\) |
−0.645647 | + | 0.763636i | \(0.723412\pi\) | |||||||
\(140\) | −8.38420 | − | 8.34896i | −0.708595 | − | 0.705616i | ||||
\(141\) | −3.42329 | + | 3.42329i | −0.288293 | + | 0.288293i | ||||
\(142\) | 10.3564 | − | 1.27423i | 0.869087 | − | 0.106931i | ||||
\(143\) | 2.62018i | 0.219110i | ||||||||
\(144\) | −3.74451 | − | 7.02541i | −0.312043 | − | 0.585451i | ||||
\(145\) | −8.70041 | − | 0.985723i | −0.722530 | − | 0.0818598i | ||||
\(146\) | −0.252368 | − | 2.05113i | −0.0208861 | − | 0.169752i | ||||
\(147\) | 3.52887 | + | 6.08478i | 0.291057 | + | 0.501864i | ||||
\(148\) | 6.41570 | − | 10.6896i | 0.527367 | − | 0.878684i | ||||
\(149\) | 6.80414 | + | 6.80414i | 0.557417 | + | 0.557417i | 0.928571 | − | 0.371154i | \(-0.121038\pi\) |
−0.371154 | + | 0.928571i | \(0.621038\pi\) | |||||||
\(150\) | 5.51519 | − | 4.47995i | 0.450313 | − | 0.365786i | ||||
\(151\) | 10.1761 | 0.828116 | 0.414058 | − | 0.910250i | \(-0.364111\pi\) | ||||
0.414058 | + | 0.910250i | \(0.364111\pi\) | |||||||
\(152\) | −4.12669 | + | 9.28748i | −0.334719 | + | 0.753314i | ||||
\(153\) | 8.40577i | 0.679566i | ||||||||
\(154\) | −4.72573 | + | 4.65535i | −0.380810 | + | 0.375139i | ||||
\(155\) | 11.1337 | + | 13.9788i | 0.894279 | + | 1.12281i | ||||
\(156\) | −2.88158 | + | 0.719992i | −0.230711 | + | 0.0576455i | ||||
\(157\) | 2.09883 | − | 2.09883i | 0.167505 | − | 0.167505i | −0.618377 | − | 0.785882i | \(-0.712209\pi\) |
0.785882 | + | 0.618377i | \(0.212209\pi\) | |||||||
\(158\) | 0.494064 | + | 4.01551i | 0.0393056 | + | 0.319457i | ||||
\(159\) | 12.5592 | 0.996012 | ||||||||
\(160\) | 12.1350 | + | 3.56969i | 0.959353 | + | 0.282209i | ||||
\(161\) | 2.42680 | − | 18.5732i | 0.191259 | − | 1.46377i | ||||
\(162\) | 1.30801 | − | 0.160936i | 0.102767 | − | 0.0126443i | ||||
\(163\) | −7.53744 | + | 7.53744i | −0.590378 | + | 0.590378i | −0.937733 | − | 0.347356i | \(-0.887080\pi\) |
0.347356 | + | 0.937733i | \(0.387080\pi\) | |||||||
\(164\) | 1.10922 | − | 0.277149i | 0.0866152 | − | 0.0216417i | ||||
\(165\) | −2.48182 | − | 3.11604i | −0.193210 | − | 0.242583i | ||||
\(166\) | 8.04653 | + | 6.28339i | 0.624532 | + | 0.487686i | ||||
\(167\) | 2.87412 | 0.222406 | 0.111203 | − | 0.993798i | \(-0.464530\pi\) | ||||
0.111203 | + | 0.993798i | \(0.464530\pi\) | |||||||
\(168\) | −6.41836 | − | 3.91796i | −0.495187 | − | 0.302277i | ||||
\(169\) | 10.8158i | 0.831986i | ||||||||
\(170\) | −9.53426 | − | 9.35278i | −0.731244 | − | 0.717325i | ||||
\(171\) | −5.05675 | − | 5.05675i | −0.386699 | − | 0.386699i | ||||
\(172\) | 10.1592 | + | 6.09733i | 0.774631 | + | 0.464917i | ||||
\(173\) | −11.4587 | + | 11.4587i | −0.871186 | + | 0.871186i | −0.992602 | − | 0.121416i | \(-0.961256\pi\) |
0.121416 | + | 0.992602i | \(0.461256\pi\) | |||||||
\(174\) | −5.52309 | + | 0.679555i | −0.418705 | + | 0.0515169i | ||||
\(175\) | −4.60508 | + | 12.4013i | −0.348111 | + | 0.937453i | ||||
\(176\) | 2.06660 | − | 6.78383i | 0.155776 | − | 0.511351i | ||||
\(177\) | 9.15174i | 0.687887i | ||||||||
\(178\) | −15.9291 | + | 1.95990i | −1.19394 | + | 0.146901i | ||||
\(179\) | −7.95603 | − | 7.95603i | −0.594661 | − | 0.594661i | 0.344226 | − | 0.938887i | \(-0.388141\pi\) |
−0.938887 | + | 0.344226i | \(0.888141\pi\) | |||||||
\(180\) | −5.41040 | + | 7.06752i | −0.403267 | + | 0.526782i | ||||
\(181\) | 0.134990 | − | 0.134990i | 0.0100337 | − | 0.0100337i | −0.702072 | − | 0.712106i | \(-0.747742\pi\) |
0.712106 | + | 0.702072i | \(0.247742\pi\) | |||||||
\(182\) | 3.93938 | − | 3.88071i | 0.292006 | − | 0.287657i | ||||
\(183\) | − | 6.88508i | − | 0.508960i | ||||||
\(184\) | 7.19012 | + | 18.6889i | 0.530063 | + | 1.37777i | ||||
\(185\) | −13.8501 | − | 1.56916i | −1.01828 | − | 0.115367i | ||||
\(186\) | 8.95154 | + | 6.99010i | 0.656359 | + | 0.512539i | ||||
\(187\) | −5.29468 | + | 5.29468i | −0.387185 | + | 0.387185i | ||||
\(188\) | 2.33577 | + | 9.34830i | 0.170353 | + | 0.681795i | ||||
\(189\) | 10.5177 | − | 8.08678i | 0.765048 | − | 0.588227i | ||||
\(190\) | 11.3621 | − | 0.109175i | 0.824291 | − | 0.00792036i | ||||
\(191\) | − | 2.02528i | − | 0.146544i | −0.997312 | − | 0.0732721i | \(-0.976656\pi\) | ||
0.997312 | − | 0.0732721i | \(-0.0233442\pi\) | |||||||
\(192\) | 8.02849 | + | 0.408658i | 0.579407 | + | 0.0294924i | ||||
\(193\) | 23.0231i | 1.65724i | 0.559810 | + | 0.828621i | \(0.310874\pi\) | ||||
−0.559810 | + | 0.828621i | \(0.689126\pi\) | |||||||
\(194\) | −19.4841 | + | 2.39730i | −1.39888 | + | 0.172116i | ||||
\(195\) | 2.06885 | + | 2.59754i | 0.148154 | + | 0.186014i | ||||
\(196\) | 13.9984 | + | 0.210049i | 0.999887 | + | 0.0150035i | ||||
\(197\) | 0.0193680 | − | 0.0193680i | 0.00137992 | − | 0.00137992i | −0.706416 | − | 0.707796i | \(-0.749689\pi\) |
0.707796 | + | 0.706416i | \(0.249689\pi\) | |||||||
\(198\) | 3.93303 | + | 3.07123i | 0.279508 | + | 0.218263i | ||||
\(199\) | − | 8.25039i | − | 0.584855i | −0.956288 | − | 0.292427i | \(-0.905537\pi\) | ||
0.956288 | − | 0.292427i | \(-0.0944629\pi\) | |||||||
\(200\) | −1.99641 | − | 14.0005i | −0.141167 | − | 0.989986i | ||||
\(201\) | 12.6577 | 0.892809 | ||||||||
\(202\) | 14.1374 | − | 18.1044i | 0.994705 | − | 1.27382i | ||||
\(203\) | 8.21325 | − | 6.31497i | 0.576457 | − | 0.443224i | ||||
\(204\) | −7.27781 | − | 4.36799i | −0.509549 | − | 0.305821i | ||||
\(205\) | −0.796370 | − | 0.999878i | −0.0556209 | − | 0.0698345i | ||||
\(206\) | 13.9645 | − | 1.71817i | 0.972951 | − | 0.119711i | ||||
\(207\) | −14.0903 | −0.979346 | ||||||||
\(208\) | −1.72272 | + | 5.65502i | −0.119449 | + | 0.392105i | ||||
\(209\) | − | 6.37035i | − | 0.440647i | ||||||
\(210\) | −1.00910 | + | 8.34649i | −0.0696345 | + | 0.575963i | ||||
\(211\) | 0.886211 | + | 0.886211i | 0.0610093 | + | 0.0610093i | 0.736953 | − | 0.675944i | \(-0.236264\pi\) |
−0.675944 | + | 0.736953i | \(0.736264\pi\) | |||||||
\(212\) | 12.8637 | − | 21.4330i | 0.883479 | − | 1.47203i | ||||
\(213\) | −5.24259 | − | 5.24259i | −0.359216 | − | 0.359216i | ||||
\(214\) | −10.6350 | − | 8.30470i | −0.726995 | − | 0.567698i | ||||
\(215\) | 1.49129 | − | 13.1628i | 0.101705 | − | 0.897695i | ||||
\(216\) | −5.75908 | + | 12.9613i | −0.391856 | + | 0.881906i | ||||
\(217\) | −20.9668 | − | 2.73956i | −1.42332 | − | 0.185973i | ||||
\(218\) | 9.41337 | − | 12.0548i | 0.637554 | − | 0.816453i | ||||
\(219\) | −1.03832 | + | 1.03832i | −0.0701632 | + | 0.0701632i | ||||
\(220\) | −7.85968 | + | 1.04380i | −0.529899 | + | 0.0703730i | ||||
\(221\) | 4.41366 | − | 4.41366i | 0.296895 | − | 0.296895i | ||||
\(222\) | −8.79216 | + | 1.08178i | −0.590091 | + | 0.0726041i | ||||
\(223\) | − | 21.9881i | − | 1.47243i | −0.676747 | − | 0.736216i | \(-0.736611\pi\) | ||
0.676747 | − | 0.736216i | \(-0.263389\pi\) | |||||||
\(224\) | −13.2601 | + | 6.94036i | −0.885981 | + | 0.463722i | ||||
\(225\) | 9.69904 | + | 2.22631i | 0.646603 | + | 0.148420i | ||||
\(226\) | −1.80832 | − | 14.6971i | −0.120288 | − | 0.977639i | ||||
\(227\) | 14.9428 | + | 14.9428i | 0.991785 | + | 0.991785i | 0.999967 | − | 0.00818114i | \(-0.00260417\pi\) |
−0.00818114 | + | 0.999967i | \(0.502604\pi\) | |||||||
\(228\) | 7.00589 | − | 1.75049i | 0.463976 | − | 0.115929i | ||||
\(229\) | 11.6786 | − | 11.6786i | 0.771746 | − | 0.771746i | −0.206666 | − | 0.978412i | \(-0.566261\pi\) |
0.978412 | + | 0.206666i | \(0.0662612\pi\) | |||||||
\(230\) | 15.6778 | − | 15.9820i | 1.03376 | − | 1.05382i | ||||
\(231\) | 4.67375 | + | 0.610679i | 0.307510 | + | 0.0401797i | ||||
\(232\) | −4.49727 | + | 10.1215i | −0.295260 | + | 0.664508i | ||||
\(233\) | 1.18929 | 0.0779127 | 0.0389563 | − | 0.999241i | \(-0.487597\pi\) | ||||
0.0389563 | + | 0.999241i | \(0.487597\pi\) | |||||||
\(234\) | −3.27858 | − | 2.56019i | −0.214327 | − | 0.167365i | ||||
\(235\) | 8.42683 | − | 6.71169i | 0.549706 | − | 0.437822i | ||||
\(236\) | 15.6180 | + | 9.37357i | 1.01664 | + | 0.610167i | ||||
\(237\) | 2.03273 | − | 2.03273i | 0.132040 | − | 0.132040i | ||||
\(238\) | 15.8023 | + | 0.118552i | 1.02431 | + | 0.00768457i | ||||
\(239\) | 3.62570i | 0.234527i | 0.993101 | + | 0.117264i | \(0.0374122\pi\) | ||||
−0.993101 | + | 0.117264i | \(0.962588\pi\) | |||||||
\(240\) | −3.30767 | − | 8.35697i | −0.213509 | − | 0.539440i | ||||
\(241\) | 7.01854i | 0.452104i | 0.974115 | + | 0.226052i | \(0.0725819\pi\) | ||||
−0.974115 | + | 0.226052i | \(0.927418\pi\) | |||||||
\(242\) | −1.35688 | − | 11.0280i | −0.0872233 | − | 0.708909i | ||||
\(243\) | −11.2995 | − | 11.2995i | −0.724865 | − | 0.724865i | ||||
\(244\) | −11.7498 | − | 7.05197i | −0.752202 | − | 0.451456i | ||||
\(245\) | −6.27842 | − | 14.3381i | −0.401113 | − | 0.916028i | ||||
\(246\) | −0.640286 | − | 0.499988i | −0.0408231 | − | 0.0318781i | ||||
\(247\) | 5.31034i | 0.337889i | ||||||||
\(248\) | 21.0975 | − | 8.11677i | 1.33969 | − | 0.515415i | ||||
\(249\) | − | 7.25408i | − | 0.459709i | ||||||
\(250\) | −13.3169 | + | 8.52403i | −0.842237 | + | 0.539107i | ||||
\(251\) | −15.2177 | − | 15.2177i | −0.960532 | − | 0.960532i | 0.0387184 | − | 0.999250i | \(-0.487672\pi\) |
−0.999250 | + | 0.0387184i | \(0.987672\pi\) | |||||||
\(252\) | −1.20763 | − | 10.4620i | −0.0760733 | − | 0.659042i | ||||
\(253\) | −8.87532 | − | 8.87532i | −0.557986 | − | 0.557986i | ||||
\(254\) | 25.6763 | − | 3.15919i | 1.61108 | − | 0.198225i | ||||
\(255\) | −1.06833 | + | 9.42953i | −0.0669014 | + | 0.590500i | ||||
\(256\) | 8.92049 | − | 13.2825i | 0.557531 | − | 0.830156i | ||||
\(257\) | 2.90066 | 0.180938 | 0.0904691 | − | 0.995899i | \(-0.471163\pi\) | ||||
0.0904691 | + | 0.995899i | \(0.471163\pi\) | |||||||
\(258\) | −1.02809 | − | 8.35585i | −0.0640064 | − | 0.520213i | ||||
\(259\) | 13.0746 | − | 10.0527i | 0.812415 | − | 0.624646i | ||||
\(260\) | 6.55184 | − | 0.870114i | 0.406328 | − | 0.0539622i | ||||
\(261\) | −5.51084 | − | 5.51084i | −0.341112 | − | 0.341112i | ||||
\(262\) | 4.45634 | − | 5.70680i | 0.275314 | − | 0.352567i | ||||
\(263\) | 3.44473i | 0.212411i | 0.994344 | + | 0.106206i | \(0.0338702\pi\) | ||||
−0.994344 | + | 0.106206i | \(0.966130\pi\) | |||||||
\(264\) | −4.70287 | + | 1.80932i | −0.289442 | + | 0.111356i | ||||
\(265\) | −27.7698 | − | 3.14621i | −1.70589 | − | 0.193270i | ||||
\(266\) | −9.57768 | + | 9.43504i | −0.587245 | + | 0.578499i | ||||
\(267\) | 8.06362 | + | 8.06362i | 0.493486 | + | 0.493486i | ||||
\(268\) | 12.9646 | − | 21.6011i | 0.791936 | − | 1.31950i | ||||
\(269\) | 6.89144 | + | 6.89144i | 0.420179 | + | 0.420179i | 0.885265 | − | 0.465087i | \(-0.153977\pi\) |
−0.465087 | + | 0.885265i | \(0.653977\pi\) | |||||||
\(270\) | 15.8565 | − | 0.152361i | 0.964999 | − | 0.00927237i | ||||
\(271\) | 11.7906 | 0.716229 | 0.358115 | − | 0.933678i | \(-0.383420\pi\) | ||||
0.358115 | + | 0.933678i | \(0.383420\pi\) | |||||||
\(272\) | −14.9084 | + | 7.94612i | −0.903957 | + | 0.481805i | ||||
\(273\) | −3.89605 | − | 0.509064i | −0.235799 | − | 0.0308099i | ||||
\(274\) | 19.4953 | − | 2.39867i | 1.17775 | − | 0.144909i | ||||
\(275\) | 4.70698 | + | 7.51162i | 0.283841 | + | 0.452968i | ||||
\(276\) | 7.32193 | − | 12.1996i | 0.440729 | − | 0.734329i | ||||
\(277\) | 12.4747 | − | 12.4747i | 0.749532 | − | 0.749532i | −0.224860 | − | 0.974391i | \(-0.572192\pi\) |
0.974391 | + | 0.224860i | \(0.0721923\pi\) | |||||||
\(278\) | −2.19279 | − | 1.71231i | −0.131515 | − | 0.102698i | ||||
\(279\) | 15.9063i | 0.952284i | ||||||||
\(280\) | 13.2102 | + | 10.2709i | 0.789460 | + | 0.613803i | ||||
\(281\) | − | 22.9429i | − | 1.36866i | −0.729172 | − | 0.684331i | \(-0.760094\pi\) | ||
0.729172 | − | 0.684331i | \(-0.239906\pi\) | |||||||
\(282\) | 4.21383 | − | 5.39624i | 0.250930 | − | 0.321341i | ||||
\(283\) | 7.74815 | − | 7.74815i | 0.460580 | − | 0.460580i | −0.438266 | − | 0.898846i | \(-0.644407\pi\) |
0.898846 | + | 0.438266i | \(0.144407\pi\) | |||||||
\(284\) | −14.3164 | + | 3.57711i | −0.849524 | + | 0.212262i | ||||
\(285\) | −5.02994 | − | 6.31531i | −0.297948 | − | 0.374087i | ||||
\(286\) | −0.452507 | − | 3.67776i | −0.0267573 | − | 0.217471i | ||||
\(287\) | 1.49972 | + | 0.195955i | 0.0885254 | + | 0.0115669i | ||||
\(288\) | 6.46920 | + | 9.21440i | 0.381201 | + | 0.542963i | ||||
\(289\) | 0.837646 | 0.0492733 | ||||||||
\(290\) | 12.3824 | − | 0.118978i | 0.727118 | − | 0.00698666i | ||||
\(291\) | 9.86324 | + | 9.86324i | 0.578193 | + | 0.578193i | ||||
\(292\) | 0.708463 | + | 2.83544i | 0.0414596 | + | 0.165931i | ||||
\(293\) | 23.6762 | + | 23.6762i | 1.38318 | + | 1.38318i | 0.838911 | + | 0.544269i | \(0.183193\pi\) |
0.544269 | + | 0.838911i | \(0.316807\pi\) | |||||||
\(294\) | −6.00408 | − | 7.93134i | −0.350165 | − | 0.462565i | ||||
\(295\) | 2.29260 | − | 20.2355i | 0.133480 | − | 1.17815i | ||||
\(296\) | −7.15915 | + | 16.1123i | −0.416117 | + | 0.936508i | ||||
\(297\) | − | 8.89027i | − | 0.515866i | ||||||
\(298\) | −10.7256 | − | 8.37541i | −0.621316 | − | 0.485175i | ||||
\(299\) | 7.39849 | + | 7.39849i | 0.427865 | + | 0.427865i | ||||
\(300\) | −6.96759 | + | 7.24066i | −0.402274 | + | 0.418040i | ||||
\(301\) | 9.55387 | + | 12.4258i | 0.550676 | + | 0.716209i | ||||
\(302\) | −14.2834 | + | 1.75742i | −0.821918 | + | 0.101128i | ||||
\(303\) | −16.3214 | −0.937642 | ||||||||
\(304\) | 4.18839 | − | 13.7489i | 0.240221 | − | 0.788551i | ||||
\(305\) | −1.72478 | + | 15.2236i | −0.0987606 | + | 0.871703i | ||||
\(306\) | −1.45168 | − | 11.7986i | −0.0829872 | − | 0.674480i | ||||
\(307\) | −15.6419 | − | 15.6419i | −0.892732 | − | 0.892732i | 0.102048 | − | 0.994780i | \(-0.467461\pi\) |
−0.994780 | + | 0.102048i | \(0.967461\pi\) | |||||||
\(308\) | 5.82919 | − | 7.35052i | 0.332149 | − | 0.418835i | ||||
\(309\) | −7.06908 | − | 7.06908i | −0.402146 | − | 0.402146i | ||||
\(310\) | −18.0417 | − | 17.6983i | −1.02470 | − | 1.00520i | ||||
\(311\) | 31.8175i | 1.80420i | 0.431523 | + | 0.902102i | \(0.357976\pi\) | ||||
−0.431523 | + | 0.902102i | \(0.642024\pi\) | |||||||
\(312\) | 3.92033 | − | 1.50825i | 0.221945 | − | 0.0853880i | ||||
\(313\) | 30.5274i | 1.72551i | 0.505623 | + | 0.862754i | \(0.331263\pi\) | ||||
−0.505623 | + | 0.862754i | \(0.668737\pi\) | |||||||
\(314\) | −2.58351 | + | 3.30845i | −0.145796 | + | 0.186707i | ||||
\(315\) | −10.0830 | + | 6.08051i | −0.568111 | + | 0.342598i | ||||
\(316\) | −1.38697 | − | 5.55097i | −0.0780229 | − | 0.312266i | ||||
\(317\) | 16.7592 | + | 16.7592i | 0.941293 | + | 0.941293i | 0.998370 | − | 0.0570769i | \(-0.0181780\pi\) |
−0.0570769 | + | 0.998370i | \(0.518178\pi\) | |||||||
\(318\) | −17.6285 | + | 2.16899i | −0.988558 | + | 0.121631i | ||||
\(319\) | − | 6.94241i | − | 0.388700i | ||||||
\(320\) | −17.6495 | − | 2.91480i | −0.986636 | − | 0.162942i | ||||
\(321\) | 9.58765i | 0.535130i | ||||||||
\(322\) | −0.198725 | + | 26.4889i | −0.0110745 | + | 1.47617i | ||||
\(323\) | −10.7308 | + | 10.7308i | −0.597076 | + | 0.597076i | ||||
\(324\) | −1.80817 | + | 0.451789i | −0.100454 | + | 0.0250994i | ||||
\(325\) | −3.92375 | − | 6.26170i | −0.217650 | − | 0.347337i | ||||
\(326\) | 9.27804 | − | 11.8815i | 0.513863 | − | 0.658055i | ||||
\(327\) | −10.8676 | −0.600979 | ||||||||
\(328\) | −1.50906 | + | 0.580576i | −0.0833241 | + | 0.0320570i | ||||
\(329\) | −1.65148 | + | 12.6394i | −0.0910492 | + | 0.696832i | ||||
\(330\) | 4.02170 | + | 3.94515i | 0.221387 | + | 0.217173i | ||||
\(331\) | 9.11391 | − | 9.11391i | 0.500946 | − | 0.500946i | −0.410786 | − | 0.911732i | \(-0.634746\pi\) |
0.911732 | + | 0.410786i | \(0.134746\pi\) | |||||||
\(332\) | −12.3795 | − | 7.42991i | −0.679413 | − | 0.407769i | ||||
\(333\) | −8.77265 | − | 8.77265i | −0.480738 | − | 0.480738i | ||||
\(334\) | −4.03420 | + | 0.496364i | −0.220742 | + | 0.0271598i | ||||
\(335\) | −27.9876 | − | 3.17089i | −1.52913 | − | 0.173244i | ||||
\(336\) | 9.68563 | + | 4.39090i | 0.528394 | + | 0.239543i | ||||
\(337\) | − | 3.42183i | − | 0.186399i | −0.995647 | − | 0.0931994i | \(-0.970291\pi\) | ||
0.995647 | − | 0.0931994i | \(-0.0297094\pi\) | |||||||
\(338\) | −1.86790 | − | 15.1814i | −0.101600 | − | 0.825759i | ||||
\(339\) | −7.43997 | + | 7.43997i | −0.404084 | + | 0.404084i | ||||
\(340\) | 14.9978 | + | 11.4813i | 0.813369 | + | 0.622658i | ||||
\(341\) | −10.0192 | + | 10.0192i | −0.542567 | + | 0.542567i | ||||
\(342\) | 7.97110 | + | 6.22449i | 0.431028 | + | 0.336582i | ||||
\(343\) | 17.1311 | + | 7.03736i | 0.924994 | + | 0.379982i | ||||
\(344\) | −15.3127 | − | 6.80389i | −0.825608 | − | 0.366841i | ||||
\(345\) | −15.8064 | − | 1.79081i | −0.850990 | − | 0.0964140i | ||||
\(346\) | 14.1048 | − | 18.0626i | 0.758278 | − | 0.971053i | ||||
\(347\) | 8.54492 | + | 8.54492i | 0.458715 | + | 0.458715i | 0.898234 | − | 0.439518i | \(-0.144851\pi\) |
−0.439518 | + | 0.898234i | \(0.644851\pi\) | |||||||
\(348\) | 7.63502 | − | 1.90769i | 0.409280 | − | 0.102263i | ||||
\(349\) | 18.3845 | + | 18.3845i | 0.984101 | + | 0.984101i | 0.999876 | − | 0.0157741i | \(-0.00502127\pi\) |
−0.0157741 | + | 0.999876i | \(0.505021\pi\) | |||||||
\(350\) | 4.32210 | − | 18.2022i | 0.231026 | − | 0.972948i | ||||
\(351\) | 7.41095i | 0.395567i | ||||||||
\(352\) | −1.72916 | + | 9.87889i | −0.0921646 | + | 0.526547i | ||||
\(353\) | 4.01822 | 0.213869 | 0.106934 | − | 0.994266i | \(-0.465897\pi\) | ||||
0.106934 | + | 0.994266i | \(0.465897\pi\) | |||||||
\(354\) | −1.58051 | − | 12.8457i | −0.0840034 | − | 0.682739i | ||||
\(355\) | 10.2786 | + | 12.9052i | 0.545531 | + | 0.684939i | ||||
\(356\) | 22.0201 | − | 5.50194i | 1.16706 | − | 0.291602i | ||||
\(357\) | −6.84418 | − | 8.90155i | −0.362233 | − | 0.471120i | ||||
\(358\) | 12.5413 | + | 9.79330i | 0.662829 | + | 0.517592i | ||||
\(359\) | 31.6023 | 1.66791 | 0.833953 | − | 0.551835i | \(-0.186072\pi\) | ||||
0.833953 | + | 0.551835i | \(0.186072\pi\) | |||||||
\(360\) | 6.37362 | − | 10.8546i | 0.335920 | − | 0.572086i | ||||
\(361\) | 6.08915i | 0.320481i | ||||||||
\(362\) | −0.166162 | + | 0.212788i | −0.00873330 | + | 0.0111839i | ||||
\(363\) | −5.58260 | + | 5.58260i | −0.293011 | + | 0.293011i | ||||
\(364\) | −4.85923 | + | 6.12741i | −0.254693 | + | 0.321164i | ||||
\(365\) | 2.55594 | − | 2.03573i | 0.133784 | − | 0.106555i | ||||
\(366\) | 1.18906 | + | 9.66410i | 0.0621531 | + | 0.505151i | ||||
\(367\) | 16.4281i | 0.857540i | 0.903414 | + | 0.428770i | \(0.141053\pi\) | ||||
−0.903414 | + | 0.428770i | \(0.858947\pi\) | |||||||
\(368\) | −13.3199 | − | 24.9906i | −0.694345 | − | 1.30272i | ||||
\(369\) | − | 1.13774i | − | 0.0592286i | ||||||
\(370\) | 19.7114 | − | 0.189401i | 1.02475 | − | 0.00984647i | ||||
\(371\) | 26.2149 | − | 20.1560i | 1.36101 | − | 1.04645i | ||||
\(372\) | −13.7718 | − | 8.26557i | −0.714037 | − | 0.428550i | ||||
\(373\) | −12.3584 | + | 12.3584i | −0.639896 | + | 0.639896i | −0.950530 | − | 0.310634i | \(-0.899459\pi\) |
0.310634 | + | 0.950530i | \(0.399459\pi\) | |||||||
\(374\) | 6.51737 | − | 8.34617i | 0.337005 | − | 0.431570i | ||||
\(375\) | 10.5974 | + | 3.73015i | 0.547246 | + | 0.192624i | ||||
\(376\) | −4.89301 | − | 12.7182i | −0.252338 | − | 0.655889i | ||||
\(377\) | 5.78721i | 0.298056i | ||||||||
\(378\) | −13.3663 | + | 13.1672i | −0.687489 | + | 0.677250i | ||||
\(379\) | 17.5279 | − | 17.5279i | 0.900348 | − | 0.900348i | −0.0951181 | − | 0.995466i | \(-0.530323\pi\) |
0.995466 | + | 0.0951181i | \(0.0303229\pi\) | |||||||
\(380\) | −15.9293 | + | 2.11548i | −0.817155 | + | 0.108522i | ||||
\(381\) | −12.9979 | − | 12.9979i | −0.665900 | − | 0.665900i | ||||
\(382\) | 0.349768 | + | 2.84274i | 0.0178957 | + | 0.145447i | ||||
\(383\) | − | 14.3413i | − | 0.732804i | −0.930457 | − | 0.366402i | \(-0.880589\pi\) | ||
0.930457 | − | 0.366402i | \(-0.119411\pi\) | |||||||
\(384\) | −11.3396 | + | 0.812923i | −0.578672 | + | 0.0414843i | ||||
\(385\) | −10.1812 | − | 2.52110i | −0.518880 | − | 0.128487i | ||||
\(386\) | −3.97611 | − | 32.3159i | −0.202379 | − | 1.64484i | ||||
\(387\) | 8.33732 | − | 8.33732i | 0.423810 | − | 0.423810i | ||||
\(388\) | 26.9345 | − | 6.72985i | 1.36739 | − | 0.341656i | ||||
\(389\) | −11.0559 | − | 11.0559i | −0.560557 | − | 0.560557i | 0.368908 | − | 0.929466i | \(-0.379732\pi\) |
−0.929466 | + | 0.368908i | \(0.879732\pi\) | |||||||
\(390\) | −3.35250 | − | 3.28869i | −0.169761 | − | 0.166529i | ||||
\(391\) | 29.9007i | 1.51214i | ||||||||
\(392\) | −19.6849 | + | 2.12271i | −0.994236 | + | 0.107213i | ||||
\(393\) | −5.14478 | −0.259520 | ||||||||
\(394\) | −0.0238407 | + | 0.0305304i | −0.00120108 | + | 0.00153810i | ||||
\(395\) | −5.00380 | + | 3.98536i | −0.251768 | + | 0.200525i | ||||
\(396\) | −6.05091 | − | 3.63163i | −0.304070 | − | 0.182496i | ||||
\(397\) | 3.25576 | − | 3.25576i | 0.163402 | − | 0.163402i | −0.620670 | − | 0.784072i | \(-0.713139\pi\) |
0.784072 | + | 0.620670i | \(0.213139\pi\) | |||||||
\(398\) | 1.42485 | + | 11.5805i | 0.0714212 | + | 0.580477i | ||||
\(399\) | 9.47232 | + | 1.23767i | 0.474209 | + | 0.0619609i | ||||
\(400\) | 5.22011 | + | 19.3067i | 0.261006 | + | 0.965337i | ||||
\(401\) | −18.7585 | −0.936756 | −0.468378 | − | 0.883528i | \(-0.655161\pi\) | ||||
−0.468378 | + | 0.883528i | \(0.655161\pi\) | |||||||
\(402\) | −17.7668 | + | 2.18600i | −0.886126 | + | 0.109028i | ||||
\(403\) | 8.35199 | − | 8.35199i | 0.416042 | − | 0.416042i | ||||
\(404\) | −16.7170 | + | 27.8534i | −0.831704 | + | 1.38576i | ||||
\(405\) | 1.29819 | + | 1.62993i | 0.0645075 | + | 0.0809921i | ||||
\(406\) | −10.4378 | + | 10.2823i | −0.518017 | + | 0.510302i | ||||
\(407\) | − | 11.0516i | − | 0.547805i | ||||||
\(408\) | 10.9697 | + | 4.87415i | 0.543081 | + | 0.241307i | ||||
\(409\) | −6.18050 | −0.305606 | −0.152803 | − | 0.988257i | \(-0.548830\pi\) | ||||
−0.152803 | + | 0.988257i | \(0.548830\pi\) | |||||||
\(410\) | 1.29049 | + | 1.26592i | 0.0637327 | + | 0.0625196i | ||||
\(411\) | −9.86887 | − | 9.86887i | −0.486795 | − | 0.486795i | ||||
\(412\) | −19.3042 | + | 4.82335i | −0.951050 | + | 0.237630i | ||||
\(413\) | 14.6874 | + | 19.1024i | 0.722720 | + | 0.939969i | ||||
\(414\) | 19.7776 | − | 2.43341i | 0.972017 | − | 0.119596i | ||||
\(415\) | −1.81722 | + | 16.0395i | −0.0892038 | + | 0.787350i | ||||
\(416\) | 1.44143 | − | 8.23506i | 0.0706721 | − | 0.403757i | ||||
\(417\) | 1.97684i | 0.0968062i | ||||||||
\(418\) | 1.10017 | + | 8.94161i | 0.0538109 | + | 0.437349i | ||||
\(419\) | 3.64245 | − | 3.64245i | 0.177945 | − | 0.177945i | −0.612514 | − | 0.790460i | \(-0.709842\pi\) |
0.790460 | + | 0.612514i | \(0.209842\pi\) | |||||||
\(420\) | −0.0250438 | − | 11.8896i | −0.00122201 | − | 0.580155i | ||||
\(421\) | −2.88887 | − | 2.88887i | −0.140795 | − | 0.140795i | 0.633196 | − | 0.773991i | \(-0.281743\pi\) |
−0.773991 | + | 0.633196i | \(0.781743\pi\) | |||||||
\(422\) | −1.39696 | − | 1.09086i | −0.0680030 | − | 0.0531023i | ||||
\(423\) | 9.58874 | 0.466220 | ||||||||
\(424\) | −14.3543 | + | 32.3056i | −0.697106 | + | 1.56890i | ||||
\(425\) | 4.72438 | − | 20.5821i | 0.229166 | − | 0.998377i | ||||
\(426\) | 8.26405 | + | 6.45325i | 0.400395 | + | 0.312661i | ||||
\(427\) | −11.0497 | − | 14.3712i | −0.534732 | − | 0.695472i | ||||
\(428\) | 16.3619 | + | 9.82004i | 0.790880 | + | 0.474670i | ||||
\(429\) | −1.86175 | + | 1.86175i | −0.0898863 | + | 0.0898863i | ||||
\(430\) | 0.180002 | + | 18.7332i | 0.00868046 | + | 0.903396i | ||||
\(431\) | 13.6659i | 0.658263i | 0.944284 | + | 0.329131i | \(0.106756\pi\) | ||||
−0.944284 | + | 0.329131i | \(0.893244\pi\) | |||||||
\(432\) | 5.84518 | − | 19.1875i | 0.281227 | − | 0.923158i | ||||
\(433\) | 11.3976 | 0.547735 | 0.273867 | − | 0.961767i | \(-0.411697\pi\) | ||||
0.273867 | + | 0.961767i | \(0.411697\pi\) | |||||||
\(434\) | 29.9028 | + | 0.224336i | 1.43538 | + | 0.0107685i | ||||
\(435\) | −5.48162 | − | 6.88242i | −0.262824 | − | 0.329987i | ||||
\(436\) | −11.1310 | + | 18.5462i | −0.533079 | + | 0.888200i | ||||
\(437\) | −17.9877 | − | 17.9877i | −0.860468 | − | 0.860468i | ||||
\(438\) | 1.27810 | − | 1.63673i | 0.0610698 | − | 0.0782062i | ||||
\(439\) | − | 35.0940i | − | 1.67495i | −0.546478 | − | 0.837473i | \(-0.684032\pi\) | ||
0.546478 | − | 0.837473i | \(-0.315968\pi\) | |||||||
\(440\) | 10.8518 | − | 2.82248i | 0.517339 | − | 0.134557i | ||||
\(441\) | 3.57959 | − | 13.4641i | 0.170456 | − | 0.641146i | ||||
\(442\) | −5.43290 | + | 6.95738i | −0.258417 | + | 0.330929i | ||||
\(443\) | 12.2410 | + | 12.2410i | 0.581587 | + | 0.581587i | 0.935339 | − | 0.353752i | \(-0.115094\pi\) |
−0.353752 | + | 0.935339i | \(0.615094\pi\) | |||||||
\(444\) | 12.1541 | − | 3.03683i | 0.576808 | − | 0.144121i | ||||
\(445\) | −15.8095 | − | 19.8495i | −0.749442 | − | 0.940958i | ||||
\(446\) | 3.79736 | + | 30.8631i | 0.179810 | + | 1.46141i | ||||
\(447\) | 9.66929i | 0.457342i | ||||||||
\(448\) | 17.4137 | − | 12.0317i | 0.822721 | − | 0.568446i | ||||
\(449\) | −4.23155 | −0.199699 | −0.0998496 | − | 0.995003i | \(-0.531836\pi\) | ||||
−0.0998496 | + | 0.995003i | \(0.531836\pi\) | |||||||
\(450\) | −13.9983 | − | 1.44987i | −0.659888 | − | 0.0683477i | ||||
\(451\) | 0.716650 | − | 0.716650i | 0.0337457 | − | 0.0337457i | ||||
\(452\) | 5.07642 | + | 20.3170i | 0.238775 | + | 0.955633i | ||||
\(453\) | 7.23054 | + | 7.23054i | 0.339720 | + | 0.339720i | ||||
\(454\) | −23.5547 | − | 18.3935i | −1.10548 | − | 0.863248i | ||||
\(455\) | 8.48704 | + | 2.10159i | 0.397879 | + | 0.0985241i | ||||
\(456\) | −9.53136 | + | 3.66696i | −0.446347 | + | 0.171721i | ||||
\(457\) | 5.56500 | 0.260320 | 0.130160 | − | 0.991493i | \(-0.458451\pi\) | ||||
0.130160 | + | 0.991493i | \(0.458451\pi\) | |||||||
\(458\) | −14.3756 | + | 18.4094i | −0.671726 | + | 0.860214i | ||||
\(459\) | −14.9755 | + | 14.9755i | −0.698998 | + | 0.698998i | ||||
\(460\) | −19.2457 | + | 25.1404i | −0.897335 | + | 1.17217i | ||||
\(461\) | −16.7132 | − | 16.7132i | −0.778413 | − | 0.778413i | 0.201148 | − | 0.979561i | \(-0.435533\pi\) |
−0.979561 | + | 0.201148i | \(0.935533\pi\) | |||||||
\(462\) | −6.66567 | − | 0.0500071i | −0.310115 | − | 0.00232654i | ||||
\(463\) | −21.8579 | −1.01582 | −0.507911 | − | 0.861409i | \(-0.669582\pi\) | ||||
−0.507911 | + | 0.861409i | \(0.669582\pi\) | |||||||
\(464\) | 4.56451 | − | 14.9835i | 0.211902 | − | 0.695592i | ||||
\(465\) | −2.02161 | + | 17.8435i | −0.0937497 | + | 0.827475i | ||||
\(466\) | −1.66932 | + | 0.205391i | −0.0773296 | + | 0.00951454i | ||||
\(467\) | −7.11749 | − | 7.11749i | −0.329358 | − | 0.329358i | 0.522984 | − | 0.852342i | \(-0.324819\pi\) |
−0.852342 | + | 0.522984i | \(0.824819\pi\) | |||||||
\(468\) | 5.04406 | + | 3.02734i | 0.233162 | + | 0.139939i | ||||
\(469\) | 26.4205 | − | 20.3141i | 1.21999 | − | 0.938018i | ||||
\(470\) | −10.6690 | + | 10.8760i | −0.492125 | + | 0.501674i | ||||
\(471\) | 2.98263 | 0.137432 | ||||||||
\(472\) | −23.5406 | − | 10.4598i | −1.08355 | − | 0.481450i | ||||
\(473\) | 10.5031 | 0.482934 | ||||||||
\(474\) | −2.50214 | + | 3.20425i | −0.114927 | + | 0.147176i | ||||
\(475\) | 9.53967 | + | 15.2239i | 0.437710 | + | 0.698519i | ||||
\(476\) | −22.2011 | + | 2.56267i | −1.01758 | + | 0.117460i | ||||
\(477\) | −17.5894 | − | 17.5894i | −0.805363 | − | 0.805363i | ||||
\(478\) | −0.626162 | − | 5.08914i | −0.0286400 | − | 0.232772i | ||||
\(479\) | −2.98615 | −0.136441 | −0.0682203 | − | 0.997670i | \(-0.521732\pi\) | ||||
−0.0682203 | + | 0.997670i | \(0.521732\pi\) | |||||||
\(480\) | 6.08600 | + | 11.1588i | 0.277787 | + | 0.509329i | ||||
\(481\) | 9.21260i | 0.420058i | ||||||||
\(482\) | −1.21211 | − | 9.85143i | −0.0552100 | − | 0.448720i | ||||
\(483\) | 14.9214 | − | 11.4727i | 0.678947 | − | 0.522026i | ||||
\(484\) | 3.80910 | + | 15.2449i | 0.173141 | + | 0.692951i | ||||
\(485\) | −19.3378 | − | 24.2795i | −0.878086 | − | 1.10248i | ||||
\(486\) | 17.8118 | + | 13.9089i | 0.807959 | + | 0.630921i | ||||
\(487\) | 9.87200i | 0.447343i | 0.974665 | + | 0.223671i | \(0.0718042\pi\) | ||||
−0.974665 | + | 0.223671i | \(0.928196\pi\) | |||||||
\(488\) | 17.7102 | + | 7.86915i | 0.801703 | + | 0.356220i | ||||
\(489\) | −10.7114 | −0.484384 | ||||||||
\(490\) | 11.2888 | + | 19.0411i | 0.509975 | + | 0.860189i | ||||
\(491\) | −19.5583 | + | 19.5583i | −0.882652 | + | 0.882652i | −0.993803 | − | 0.111152i | \(-0.964546\pi\) |
0.111152 | + | 0.993803i | \(0.464546\pi\) | |||||||
\(492\) | 0.985072 | + | 0.591220i | 0.0444105 | + | 0.0266542i | ||||
\(493\) | −11.6944 | + | 11.6944i | −0.526689 | + | 0.526689i | ||||
\(494\) | −0.917100 | − | 7.45375i | −0.0412623 | − | 0.335360i | ||||
\(495\) | −0.888230 | + | 7.83989i | −0.0399230 | + | 0.352377i | ||||
\(496\) | −28.2113 | + | 15.0365i | −1.26672 | + | 0.675158i | ||||
\(497\) | −19.3566 | − | 2.52916i | −0.868260 | − | 0.113448i | ||||
\(498\) | 1.25279 | + | 10.1820i | 0.0561387 | + | 0.456268i | ||||
\(499\) | 15.1508 | + | 15.1508i | 0.678245 | + | 0.678245i | 0.959603 | − | 0.281358i | \(-0.0907848\pi\) |
−0.281358 | + | 0.959603i | \(0.590785\pi\) | |||||||
\(500\) | 17.2199 | − | 14.2644i | 0.770099 | − | 0.637924i | ||||
\(501\) | 2.04219 | + | 2.04219i | 0.0912384 | + | 0.0912384i | ||||
\(502\) | 23.9881 | + | 18.7319i | 1.07064 | + | 0.836045i | ||||
\(503\) | −35.5923 | −1.58698 | −0.793491 | − | 0.608582i | \(-0.791739\pi\) | ||||
−0.793491 | + | 0.608582i | \(0.791739\pi\) | |||||||
\(504\) | 3.50185 | + | 14.4762i | 0.155985 | + | 0.644820i | ||||
\(505\) | 36.0884 | + | 4.08868i | 1.60591 | + | 0.181944i | ||||
\(506\) | 13.9904 | + | 10.9249i | 0.621950 | + | 0.485670i | ||||
\(507\) | −7.68511 | + | 7.68511i | −0.341308 | + | 0.341308i | ||||
\(508\) | −35.4944 | + | 8.86865i | −1.57481 | + | 0.393483i | ||||
\(509\) | −9.28771 | − | 9.28771i | −0.411670 | − | 0.411670i | 0.470650 | − | 0.882320i | \(-0.344020\pi\) |
−0.882320 | + | 0.470650i | \(0.844020\pi\) | |||||||
\(510\) | −0.128949 | − | 13.4201i | −0.00570997 | − | 0.594251i | ||||
\(511\) | −0.500912 | + | 3.83366i | −0.0221590 | + | 0.169591i | ||||
\(512\) | −10.2272 | + | 20.1843i | −0.451981 | + | 0.892028i | ||||
\(513\) | − | 18.0180i | − | 0.795513i | ||||||
\(514\) | −4.07145 | + | 0.500946i | −0.179584 | + | 0.0220958i | ||||
\(515\) | 13.8596 | + | 17.4014i | 0.610728 | + | 0.766796i | ||||
\(516\) | 2.88613 | + | 11.5510i | 0.127055 | + | 0.508503i | ||||
\(517\) | 6.03982 | + | 6.03982i | 0.265631 | + | 0.265631i | ||||
\(518\) | −16.6157 | + | 16.3683i | −0.730054 | + | 0.719182i | ||||
\(519\) | −16.2838 | −0.714778 | ||||||||
\(520\) | −9.04609 | + | 2.35283i | −0.396697 | + | 0.103178i | ||||
\(521\) | 18.0050 | 0.788815 | 0.394407 | − | 0.918936i | \(-0.370950\pi\) | ||||
0.394407 | + | 0.918936i | \(0.370950\pi\) | |||||||
\(522\) | 8.68690 | + | 6.78345i | 0.380215 | + | 0.296904i | ||||
\(523\) | 23.8637 | − | 23.8637i | 1.04349 | − | 1.04349i | 0.0444763 | − | 0.999010i | \(-0.485838\pi\) |
0.999010 | − | 0.0444763i | \(-0.0141619\pi\) | |||||||
\(524\) | −5.26948 | + | 8.77984i | −0.230198 | + | 0.383549i | ||||
\(525\) | −12.0838 | + | 5.53958i | −0.527381 | + | 0.241767i | ||||
\(526\) | −0.594908 | − | 4.83513i | −0.0259392 | − | 0.210822i | ||||
\(527\) | 33.7543 | 1.47036 | ||||||||
\(528\) | 6.28862 | − | 3.35180i | 0.273677 | − | 0.145869i | ||||
\(529\) | −27.1217 | −1.17920 | ||||||||
\(530\) | 39.5218 | − | 0.379753i | 1.71672 | − | 0.0164954i | ||||
\(531\) | 12.8172 | − | 12.8172i | 0.556217 | − | 0.556217i | ||||
\(532\) | 11.8141 | − | 14.8974i | 0.512205 | − | 0.645883i | ||||
\(533\) | −0.597401 | + | 0.597401i | −0.0258763 | + | 0.0258763i | ||||
\(534\) | −12.7109 | − | 9.92574i | −0.550056 | − | 0.429529i | ||||
\(535\) | 2.40180 | − | 21.1993i | 0.103839 | − | 0.916526i | ||||
\(536\) | −14.4669 | + | 32.5590i | −0.624874 | + | 1.40633i | ||||
\(537\) | − | 11.3062i | − | 0.487899i | ||||||
\(538\) | −10.8632 | − | 8.48287i | −0.468345 | − | 0.365722i | ||||
\(539\) | 10.7356 | − | 6.22610i | 0.462414 | − | 0.268177i | ||||
\(540\) | −22.2304 | + | 2.95230i | −0.956644 | + | 0.127047i | ||||
\(541\) | −16.7849 | + | 16.7849i | −0.721641 | + | 0.721641i | −0.968939 | − | 0.247299i | \(-0.920457\pi\) |
0.247299 | + | 0.968939i | \(0.420457\pi\) | |||||||
\(542\) | −16.5497 | + | 2.03625i | −0.710869 | + | 0.0874644i | ||||
\(543\) | 0.191832 | 0.00823230 | ||||||||
\(544\) | 19.5536 | − | 13.7281i | 0.838354 | − | 0.588588i | ||||
\(545\) | 24.0294 | + | 2.72244i | 1.02931 | + | 0.116617i | ||||
\(546\) | 5.55652 | + | 0.0416860i | 0.237797 | + | 0.00178400i | ||||
\(547\) | 18.6101 | − | 18.6101i | 0.795709 | − | 0.795709i | −0.186707 | − | 0.982416i | \(-0.559781\pi\) |
0.982416 | + | 0.186707i | \(0.0597814\pi\) | |||||||
\(548\) | −26.9498 | + | 6.73369i | −1.15124 | + | 0.287649i | ||||
\(549\) | −9.64266 | + | 9.64266i | −0.411539 | + | 0.411539i | ||||
\(550\) | −7.90411 | − | 9.73063i | −0.337032 | − | 0.414915i | ||||
\(551\) | − | 14.0702i | − | 0.599413i | ||||||
\(552\) | −8.17040 | + | 18.3882i | −0.347755 | + | 0.782653i | ||||
\(553\) | 0.980640 | − | 7.50519i | 0.0417011 | − | 0.319153i | ||||
\(554\) | −15.3554 | + | 19.6642i | −0.652391 | + | 0.835453i | ||||
\(555\) | −8.72614 | − | 10.9561i | −0.370404 | − | 0.465059i | ||||
\(556\) | 3.37358 | + | 2.02475i | 0.143072 | + | 0.0858687i | ||||
\(557\) | 18.1149 | + | 18.1149i | 0.767551 | + | 0.767551i | 0.977675 | − | 0.210124i | \(-0.0673867\pi\) |
−0.210124 | + | 0.977675i | \(0.567387\pi\) | |||||||
\(558\) | −2.74703 | − | 22.3265i | −0.116291 | − | 0.945156i | ||||
\(559\) | −8.75543 | −0.370315 | ||||||||
\(560\) | −20.3160 | − | 12.1351i | −0.858507 | − | 0.512801i | ||||
\(561\) | −7.52421 | −0.317672 | ||||||||
\(562\) | 3.96227 | + | 32.2034i | 0.167138 | + | 1.35842i | ||||
\(563\) | −1.54189 | − | 1.54189i | −0.0649830 | − | 0.0649830i | 0.673868 | − | 0.738851i | \(-0.264631\pi\) |
−0.738851 | + | 0.673868i | \(0.764631\pi\) | |||||||
\(564\) | −4.98271 | + | 8.30204i | −0.209810 | + | 0.349579i | ||||
\(565\) | 18.3144 | − | 14.5868i | 0.770491 | − | 0.613671i | ||||
\(566\) | −9.53742 | + | 12.2136i | −0.400888 | + | 0.513378i | ||||
\(567\) | −2.44474 | − | 0.319433i | −0.102669 | − | 0.0134149i | ||||
\(568\) | 19.4772 | − | 7.49339i | 0.817245 | − | 0.314416i | ||||
\(569\) | − | 32.7385i | − | 1.37247i | −0.727381 | − | 0.686234i | \(-0.759263\pi\) | ||
0.727381 | − | 0.686234i | \(-0.240737\pi\) | |||||||
\(570\) | 8.15082 | + | 7.99568i | 0.341400 | + | 0.334902i | ||||
\(571\) | 0.943653 | − | 0.943653i | 0.0394907 | − | 0.0394907i | −0.687086 | − | 0.726576i | \(-0.741110\pi\) |
0.726576 | + | 0.687086i | \(0.241110\pi\) | |||||||
\(572\) | 1.27030 | + | 5.08406i | 0.0531141 | + | 0.212575i | ||||
\(573\) | 1.43905 | − | 1.43905i | 0.0601172 | − | 0.0601172i | ||||
\(574\) | −2.13889 | − | 0.0160463i | −0.0892754 | − | 0.000669761i | ||||
\(575\) | 34.5011 | + | 7.91934i | 1.43880 | + | 0.330259i | ||||
\(576\) | −10.6717 | − | 11.8164i | −0.444654 | − | 0.492348i | ||||
\(577\) | −38.3297 | −1.59569 | −0.797844 | − | 0.602864i | \(-0.794026\pi\) | ||||
−0.797844 | + | 0.602864i | \(0.794026\pi\) | |||||||
\(578\) | −1.17574 | + | 0.144662i | −0.0489045 | + | 0.00601716i | ||||
\(579\) | −16.3589 | + | 16.3589i | −0.679855 | + | 0.679855i | ||||
\(580\) | −17.3597 | + | 2.30545i | −0.720823 | + | 0.0957286i | ||||
\(581\) | −11.6419 | − | 15.1414i | −0.482987 | − | 0.628173i | ||||
\(582\) | −15.5477 | − | 12.1409i | −0.644474 | − | 0.503258i | ||||
\(583\) | − | 22.1587i | − | 0.917718i | ||||||
\(584\) | −1.48410 | − | 3.85755i | −0.0614126 | − | 0.159627i | ||||
\(585\) | 0.740431 | − | 6.53535i | 0.0306130 | − | 0.270204i | ||||
\(586\) | −37.3215 | − | 29.1437i | −1.54174 | − | 1.20392i | ||||
\(587\) | −3.48676 | + | 3.48676i | −0.143914 | + | 0.143914i | −0.775393 | − | 0.631479i | \(-0.782448\pi\) |
0.631479 | + | 0.775393i | \(0.282448\pi\) | |||||||
\(588\) | 9.79725 | + | 10.0957i | 0.404032 | + | 0.416341i | ||||
\(589\) | −20.3059 | + | 20.3059i | −0.836690 | + | 0.836690i | ||||
\(590\) | 0.276721 | + | 28.7990i | 0.0113924 | + | 1.18564i | ||||
\(591\) | 0.0275237 | 0.00113217 | ||||||||
\(592\) | 7.26619 | − | 23.8521i | 0.298639 | − | 0.980314i | ||||
\(593\) | 15.0011 | 0.616021 | 0.308011 | − | 0.951383i | \(-0.400337\pi\) | ||||
0.308011 | + | 0.951383i | \(0.400337\pi\) | |||||||
\(594\) | 1.53536 | + | 12.4786i | 0.0629964 | + | 0.512005i | ||||
\(595\) | 12.9033 | + | 21.3968i | 0.528983 | + | 0.877183i | ||||
\(596\) | 16.5012 | + | 9.90366i | 0.675914 | + | 0.405670i | ||||
\(597\) | 5.86226 | − | 5.86226i | 0.239926 | − | 0.239926i | ||||
\(598\) | −11.6625 | − | 9.10700i | −0.476913 | − | 0.372413i | ||||
\(599\) | −28.7649 | −1.17530 | −0.587650 | − | 0.809115i | \(-0.699947\pi\) | ||||
−0.587650 | + | 0.809115i | \(0.699947\pi\) | |||||||
\(600\) | 8.52945 | − | 11.3665i | 0.348213 | − | 0.464036i | ||||
\(601\) | 12.8927 | 0.525906 | 0.262953 | − | 0.964809i | \(-0.415304\pi\) | ||||
0.262953 | + | 0.964809i | \(0.415304\pi\) | |||||||
\(602\) | −15.5560 | − | 15.7912i | −0.634017 | − | 0.643602i | ||||
\(603\) | −17.7274 | − | 17.7274i | −0.721914 | − | 0.721914i | ||||
\(604\) | 19.7451 | − | 4.93352i | 0.803417 | − | 0.200742i | ||||
\(605\) | 13.7422 | − | 10.9452i | 0.558701 | − | 0.444987i | ||||
\(606\) | 22.9092 | − | 2.81872i | 0.930624 | − | 0.114503i | ||||
\(607\) | − | 18.0248i | − | 0.731604i | −0.930693 | − | 0.365802i | \(-0.880795\pi\) | ||
0.930693 | − | 0.365802i | \(-0.119205\pi\) | |||||||
\(608\) | −3.50451 | + | 20.0216i | −0.142126 | + | 0.811984i | ||||
\(609\) | 10.3229 | + | 1.34881i | 0.418306 | + | 0.0546566i | ||||
\(610\) | −0.208184 | − | 21.6662i | −0.00842912 | − | 0.877239i | ||||
\(611\) | −5.03481 | − | 5.03481i | −0.203687 | − | 0.203687i | ||||
\(612\) | 4.07525 | + | 16.3101i | 0.164732 | + | 0.659298i | ||||
\(613\) | 6.21078 | − | 6.21078i | 0.250851 | − | 0.250851i | −0.570468 | − | 0.821320i | \(-0.693238\pi\) |
0.821320 | + | 0.570468i | \(0.193238\pi\) | |||||||
\(614\) | 24.6568 | + | 19.2541i | 0.995069 | + | 0.777032i | ||||
\(615\) | 0.144601 | − | 1.27631i | 0.00583089 | − | 0.0514659i | ||||
\(616\) | −6.91258 | + | 11.3241i | −0.278516 | + | 0.456262i | ||||
\(617\) | 3.55045 | 0.142936 | 0.0714679 | − | 0.997443i | \(-0.477232\pi\) | ||||
0.0714679 | + | 0.997443i | \(0.477232\pi\) | |||||||
\(618\) | 11.1432 | + | 8.70154i | 0.448246 | + | 0.350027i | ||||
\(619\) | 10.7551 | + | 10.7551i | 0.432284 | + | 0.432284i | 0.889405 | − | 0.457121i | \(-0.151119\pi\) |
−0.457121 | + | 0.889405i | \(0.651119\pi\) | |||||||
\(620\) | 28.3804 | + | 21.7260i | 1.13978 | + | 0.872538i | ||||
\(621\) | −25.1030 | − | 25.1030i | −1.00735 | − | 1.00735i | ||||
\(622\) | −5.49491 | − | 44.6599i | −0.220326 | − | 1.79070i | ||||
\(623\) | 29.7723 | + | 3.89009i | 1.19280 | + | 0.155853i | ||||
\(624\) | −5.24221 | + | 2.79407i | −0.209856 | + | 0.111852i | ||||
\(625\) | −22.4975 | − | 10.9025i | −0.899898 | − | 0.436100i | ||||
\(626\) | −5.27210 | − | 42.8491i | −0.210716 | − | 1.71259i | ||||
\(627\) | 4.52642 | − | 4.52642i | 0.180768 | − | 0.180768i | ||||
\(628\) | 3.05492 | − | 5.09002i | 0.121905 | − | 0.203114i | ||||
\(629\) | −18.6162 | + | 18.6162i | −0.742276 | + | 0.742276i | ||||
\(630\) | 13.1026 | − | 10.2761i | 0.522022 | − | 0.409411i | ||||
\(631\) | 22.2161 | 0.884411 | 0.442205 | − | 0.896914i | \(-0.354196\pi\) | ||||
0.442205 | + | 0.896914i | \(0.354196\pi\) | |||||||
\(632\) | 2.90544 | + | 7.55197i | 0.115572 | + | 0.300401i | ||||
\(633\) | 1.25938i | 0.0500560i | ||||||||
\(634\) | −26.4181 | − | 20.6294i | −1.04920 | − | 0.819299i | ||||
\(635\) | 25.4835 | + | 31.9957i | 1.01128 | + | 1.26971i | ||||
\(636\) | 24.3693 | − | 6.08892i | 0.966306 | − | 0.241441i | ||||
\(637\) | −8.94920 | + | 5.19009i | −0.354580 | + | 0.205639i | ||||
\(638\) | 1.19896 | + | 9.74457i | 0.0474673 | + | 0.385791i | ||||
\(639\) | 14.6846i | 0.580916i | ||||||||
\(640\) | 25.2767 | + | 1.04322i | 0.999149 | + | 0.0412370i | ||||
\(641\) | 33.6360 | 1.32854 | 0.664271 | − | 0.747492i | \(-0.268742\pi\) | ||||
0.664271 | + | 0.747492i | \(0.268742\pi\) | |||||||
\(642\) | −1.65580 | − | 13.4575i | −0.0653490 | − | 0.531125i | ||||
\(643\) | −30.9366 | − | 30.9366i | −1.22002 | − | 1.22002i | −0.967624 | − | 0.252396i | \(-0.918782\pi\) |
−0.252396 | − | 0.967624i | \(-0.581218\pi\) | |||||||
\(644\) | −4.29573 | − | 37.2150i | −0.169275 | − | 1.46648i | ||||
\(645\) | 10.4124 | − | 8.29311i | 0.409987 | − | 0.326541i | ||||
\(646\) | 13.2088 | − | 16.9152i | 0.519694 | − | 0.665521i | ||||
\(647\) | 27.1594 | 1.06774 | 0.533872 | − | 0.845565i | \(-0.320736\pi\) | ||||
0.533872 | + | 0.845565i | \(0.320736\pi\) | |||||||
\(648\) | 2.45997 | − | 0.946416i | 0.0966369 | − | 0.0371788i | ||||
\(649\) | 16.1467 | 0.633814 | ||||||||
\(650\) | 6.58889 | + | 8.11147i | 0.258437 | + | 0.318158i | ||||
\(651\) | −12.9513 | − | 16.8444i | −0.507601 | − | 0.660185i | ||||
\(652\) | −10.9710 | + | 18.2795i | −0.429657 | + | 0.715882i | ||||
\(653\) | 14.7641 | + | 14.7641i | 0.577762 | + | 0.577762i | 0.934286 | − | 0.356524i | \(-0.116038\pi\) |
−0.356524 | + | 0.934286i | \(0.616038\pi\) | |||||||
\(654\) | 15.2541 | − | 1.87684i | 0.596481 | − | 0.0733904i | ||||
\(655\) | 11.3756 | + | 1.28882i | 0.444483 | + | 0.0503582i | ||||
\(656\) | 2.01790 | − | 1.07553i | 0.0787857 | − | 0.0419924i | ||||
\(657\) | 2.90836 | 0.113466 | ||||||||
\(658\) | 0.135236 | − | 18.0262i | 0.00527205 | − | 0.702735i | ||||
\(659\) | 22.8352 | + | 22.8352i | 0.889532 | + | 0.889532i | 0.994478 | − | 0.104946i | \(-0.0334669\pi\) |
−0.104946 | + | 0.994478i | \(0.533467\pi\) | |||||||
\(660\) | −6.32631 | − | 4.84298i | −0.246251 | − | 0.188513i | ||||
\(661\) | −30.5653 | + | 30.5653i | −1.18885 | + | 1.18885i | −0.211466 | + | 0.977385i | \(0.567824\pi\) |
−0.977385 | + | 0.211466i | \(0.932176\pi\) | |||||||
\(662\) | −11.2186 | + | 14.3665i | −0.436022 | + | 0.558371i | ||||
\(663\) | 6.27220 | 0.243592 | ||||||||
\(664\) | 18.6594 | + | 8.29089i | 0.724124 | + | 0.321749i | ||||
\(665\) | −20.6343 | − | 5.10953i | −0.800162 | − | 0.198139i | ||||
\(666\) | 13.8286 | + | 10.7985i | 0.535847 | + | 0.418433i | ||||
\(667\) | −19.6030 | − | 19.6030i | −0.759030 | − | 0.759030i | ||||
\(668\) | 5.57680 | − | 1.39342i | 0.215773 | − | 0.0539131i | ||||
\(669\) | 15.6235 | − | 15.6235i | 0.604040 | − | 0.604040i | ||||
\(670\) | 39.8318 | − | 0.382732i | 1.53884 | − | 0.0147862i | ||||
\(671\) | −12.1476 | −0.468952 | ||||||||
\(672\) | −14.3533 | − | 4.49048i | −0.553692 | − | 0.173224i | ||||
\(673\) | − | 27.6430i | − | 1.06556i | −0.846254 | − | 0.532779i | \(-0.821148\pi\) | ||
0.846254 | − | 0.532779i | \(-0.178852\pi\) | |||||||
\(674\) | 0.590953 | + | 4.80298i | 0.0227626 | + | 0.185004i | ||||
\(675\) | 13.3133 | + | 21.2459i | 0.512428 | + | 0.817757i | ||||
\(676\) | 5.24368 | + | 20.9864i | 0.201680 | + | 0.807171i | ||||
\(677\) | −1.29295 | − | 1.29295i | −0.0496921 | − | 0.0496921i | 0.681824 | − | 0.731516i | \(-0.261187\pi\) |
−0.731516 | + | 0.681824i | \(0.761187\pi\) | |||||||
\(678\) | 9.15807 | − | 11.7279i | 0.351714 | − | 0.450406i | ||||
\(679\) | 36.4168 | + | 4.75828i | 1.39755 | + | 0.182606i | ||||
\(680\) | −23.0342 | − | 13.5253i | −0.883320 | − | 0.518671i | ||||
\(681\) | 21.2350i | 0.813726i | ||||||||
\(682\) | 12.3329 | − | 15.7935i | 0.472249 | − | 0.604764i | ||||
\(683\) | 8.64999 | + | 8.64999i | 0.330983 | + | 0.330983i | 0.852960 | − | 0.521977i | \(-0.174805\pi\) |
−0.521977 | + | 0.852960i | \(0.674805\pi\) | |||||||
\(684\) | −12.2634 | − | 7.36026i | −0.468904 | − | 0.281427i | ||||
\(685\) | 19.3489 | + | 24.2934i | 0.739282 | + | 0.928202i | ||||
\(686\) | −25.2611 | − | 6.91929i | −0.964474 | − | 0.264180i | ||||
\(687\) | 16.5964 | 0.633191 | ||||||||
\(688\) | 22.6684 | + | 6.90561i | 0.864226 | + | 0.263274i | ||||
\(689\) | 18.4715i | 0.703708i | ||||||||
\(690\) | 22.4957 | − | 0.216154i | 0.856395 | − | 0.00822884i | ||||
\(691\) | −24.4641 | + | 24.4641i | −0.930658 | + | 0.930658i | −0.997747 | − | 0.0670894i | \(-0.978629\pi\) |
0.0670894 | + | 0.997747i | \(0.478629\pi\) | |||||||
\(692\) | −16.6785 | + | 27.7891i | −0.634020 | + | 1.05638i | ||||
\(693\) | −5.69039 | − | 7.40092i | −0.216160 | − | 0.281138i | ||||
\(694\) | −13.4696 | − | 10.5182i | −0.511299 | − | 0.399265i | ||||
\(695\) | 0.495217 | − | 4.37100i | 0.0187847 | − | 0.165801i | ||||
\(696\) | −10.3873 | + | 3.99626i | −0.393729 | + | 0.151478i | ||||
\(697\) | −2.41438 | −0.0914510 | ||||||||
\(698\) | −28.9801 | − | 22.6300i | −1.09691 | − | 0.856560i | ||||
\(699\) | 0.845040 | + | 0.845040i | 0.0319623 | + | 0.0319623i | ||||
\(700\) | −2.92310 | + | 26.2955i | −0.110483 | + | 0.993878i | ||||
\(701\) | 26.6704 | − | 26.6704i | 1.00733 | − | 1.00733i | 0.00735340 | − | 0.999973i | \(-0.497659\pi\) |
0.999973 | − | 0.00735340i | \(-0.00234068\pi\) | |||||||
\(702\) | −1.27988 | − | 10.4022i | −0.0483058 | − | 0.392606i | ||||
\(703\) | − | 22.3983i | − | 0.844767i | ||||||
\(704\) | 0.721008 | − | 14.1649i | 0.0271740 | − | 0.533861i | ||||
\(705\) | 10.7566 | + | 1.21868i | 0.405116 | + | 0.0458981i | ||||
\(706\) | −5.64010 | + | 0.693951i | −0.212268 | + | 0.0261172i | ||||
\(707\) | −34.0677 | + | 26.1938i | −1.28125 | + | 0.985121i | ||||
\(708\) | 4.43691 | + | 17.7576i | 0.166749 | + | 0.667371i | ||||
\(709\) | −6.89749 | − | 6.89749i | −0.259041 | − | 0.259041i | 0.565623 | − | 0.824664i | \(-0.308636\pi\) |
−0.824664 | + | 0.565623i | \(0.808636\pi\) | |||||||
\(710\) | −16.6561 | − | 16.3390i | −0.625092 | − | 0.613193i | ||||
\(711\) | −5.69374 | −0.213532 | ||||||||
\(712\) | −29.9578 | + | 11.5256i | −1.12272 | + | 0.431939i | ||||
\(713\) | 56.5813i | 2.11898i | ||||||||
\(714\) | 11.1440 | + | 11.3125i | 0.417054 | + | 0.423359i | ||||
\(715\) | 4.58292 | − | 3.65015i | 0.171391 | − | 0.136508i | ||||
\(716\) | −19.2947 | − | 11.5803i | −0.721076 | − | 0.432775i | ||||
\(717\) | −2.57622 | + | 2.57622i | −0.0962107 | + | 0.0962107i | ||||
\(718\) | −44.3579 | + | 5.45775i | −1.65542 | + | 0.203681i | ||||
\(719\) | 26.0961 | 0.973219 | 0.486609 | − | 0.873620i | \(-0.338234\pi\) | ||||
0.486609 | + | 0.873620i | \(0.338234\pi\) | |||||||
\(720\) | −7.07161 | + | 16.3365i | −0.263543 | + | 0.608826i | ||||
\(721\) | −26.1003 | − | 3.41031i | −0.972026 | − | 0.127006i | ||||
\(722\) | −1.05160 | − | 8.54691i | −0.0391365 | − | 0.318083i | ||||
\(723\) | −4.98698 | + | 4.98698i | −0.185468 | + | 0.185468i | ||||
\(724\) | 0.196482 | − | 0.327372i | 0.00730219 | − | 0.0121667i | ||||
\(725\) | 10.3963 | + | 16.5910i | 0.386110 | + | 0.616173i | ||||
\(726\) | 6.87178 | − | 8.80002i | 0.255036 | − | 0.326599i | ||||
\(727\) | −38.4538 | −1.42617 | −0.713086 | − | 0.701076i | \(-0.752703\pi\) | ||||
−0.713086 | + | 0.701076i | \(0.752703\pi\) | |||||||
\(728\) | 5.76234 | − | 9.43981i | 0.213567 | − | 0.349863i | ||||
\(729\) | − | 13.2620i | − | 0.491185i | ||||||
\(730\) | −3.23603 | + | 3.29882i | −0.119771 | + | 0.122095i | ||||
\(731\) | −17.6924 | − | 17.6924i | −0.654376 | − | 0.654376i | ||||
\(732\) | −3.33800 | − | 13.3595i | −0.123376 | − | 0.493780i | ||||
\(733\) | 9.02973 | − | 9.02973i | 0.333521 | − | 0.333521i | −0.520401 | − | 0.853922i | \(-0.674218\pi\) |
0.853922 | + | 0.520401i | \(0.174218\pi\) | |||||||
\(734\) | −2.83715 | − | 23.0590i | −0.104721 | − | 0.851122i | ||||
\(735\) | 5.72677 | − | 14.6489i | 0.211235 | − | 0.540335i | ||||
\(736\) | 23.0120 | + | 32.7771i | 0.848234 | + | 1.20818i | ||||
\(737\) | − | 22.3325i | − | 0.822627i | ||||||
\(738\) | 0.196489 | + | 1.59697i | 0.00723287 | + | 0.0587853i | ||||
\(739\) | −12.5379 | − | 12.5379i | −0.461215 | − | 0.461215i | 0.437839 | − | 0.899054i | \(-0.355744\pi\) |
−0.899054 | + | 0.437839i | \(0.855744\pi\) | |||||||
\(740\) | −27.6348 | + | 3.67002i | −1.01587 | + | 0.134913i | ||||
\(741\) | −3.77323 | + | 3.77323i | −0.138613 | + | 0.138613i | ||||
\(742\) | −33.3150 | + | 32.8189i | −1.22303 | + | 1.20482i | ||||
\(743\) | 12.8976i | 0.473165i | 0.971611 | + | 0.236583i | \(0.0760274\pi\) | ||||
−0.971611 | + | 0.236583i | \(0.923973\pi\) | |||||||
\(744\) | 20.7580 | + | 9.22338i | 0.761026 | + | 0.338146i | ||||
\(745\) | 2.42225 | − | 21.3798i | 0.0887444 | − | 0.783296i | ||||
\(746\) | 15.2124 | − | 19.4810i | 0.556964 | − | 0.713249i | ||||
\(747\) | −10.1595 | + | 10.1595i | −0.371715 | + | 0.371715i | ||||
\(748\) | −7.70658 | + | 12.8405i | −0.281781 | + | 0.469494i | ||||
\(749\) | 15.3870 | + | 20.0123i | 0.562228 | + | 0.731234i | ||||
\(750\) | −15.5190 | − | 3.40558i | −0.566673 | − | 0.124354i | ||||
\(751\) | − | 39.9851i | − | 1.45908i | −0.683940 | − | 0.729538i | \(-0.739735\pi\) | ||
0.683940 | − | 0.729538i | \(-0.260265\pi\) | |||||||
\(752\) | 9.06441 | + | 17.0065i | 0.330545 | + | 0.620165i | ||||
\(753\) | − | 21.6257i | − | 0.788083i | ||||||
\(754\) | −0.999456 | − | 8.12310i | −0.0363980 | − | 0.295826i | ||||
\(755\) | −14.1762 | − | 17.7988i | −0.515924 | − | 0.647765i | ||||
\(756\) | 16.4873 | − | 20.7903i | 0.599639 | − | 0.756136i | ||||
\(757\) | −20.6280 | + | 20.6280i | −0.749738 | + | 0.749738i | −0.974430 | − | 0.224692i | \(-0.927862\pi\) |
0.224692 | + | 0.974430i | \(0.427862\pi\) | |||||||
\(758\) | −21.5756 | + | 27.6298i | −0.783661 | + | 1.00356i | ||||
\(759\) | − | 12.6126i | − | 0.457809i | ||||||
\(760\) | 21.9934 | − | 5.72035i | 0.797786 | − | 0.207499i | ||||
\(761\) | 52.9785 | 1.92047 | 0.960234 | − | 0.279195i | \(-0.0900675\pi\) | ||||
0.960234 | + | 0.279195i | \(0.0900675\pi\) | |||||||
\(762\) | 20.4889 | + | 15.9994i | 0.742235 | + | 0.579598i | ||||
\(763\) | −22.6839 | + | 17.4411i | −0.821213 | + | 0.631411i | ||||
\(764\) | −0.981889 | − | 3.92975i | −0.0355235 | − | 0.142173i | ||||
\(765\) | 14.7024 | − | 11.7100i | 0.531567 | − | 0.423376i | ||||
\(766\) | 2.47675 | + | 20.1298i | 0.0894885 | + | 0.727320i | ||||
\(767\) | −13.4599 | −0.486010 | ||||||||
\(768\) | 15.7762 | − | 3.09940i | 0.569275 | − | 0.111840i | ||||
\(769\) | − | 38.5184i | − | 1.38901i | −0.719488 | − | 0.694505i | \(-0.755623\pi\) | ||
0.719488 | − | 0.694505i | \(-0.244377\pi\) | |||||||
\(770\) | 14.7260 | + | 1.78039i | 0.530687 | + | 0.0641607i | ||||
\(771\) | 2.06105 | + | 2.06105i | 0.0742268 | + | 0.0742268i | ||||
\(772\) | 11.1620 | + | 44.6729i | 0.401728 | + | 1.60781i | ||||
\(773\) | 24.2775 | + | 24.2775i | 0.873201 | + | 0.873201i | 0.992820 | − | 0.119619i | \(-0.0381672\pi\) |
−0.119619 | + | 0.992820i | \(0.538167\pi\) | |||||||
\(774\) | −10.2626 | + | 13.1424i | −0.368883 | + | 0.472392i | ||||
\(775\) | 8.93997 | − | 38.9475i | 0.321133 | − | 1.39904i | ||||
\(776\) | −36.6438 | + | 14.0978i | −1.31543 | + | 0.506082i | ||||
\(777\) | 16.4330 | + | 2.14716i | 0.589530 | + | 0.0770289i | ||||
\(778\) | 17.4278 | + | 13.6090i | 0.624816 | + | 0.487908i | ||||
\(779\) | 1.45244 | − | 1.45244i | 0.0520391 | − | 0.0520391i | ||||
\(780\) | 5.27363 | + | 4.03712i | 0.188826 | + | 0.144552i | ||||
\(781\) | −9.24966 | + | 9.24966i | −0.330979 | + | 0.330979i | ||||
\(782\) | −5.16388 | − | 41.9695i | −0.184660 | − | 1.50083i | ||||
\(783\) | − | 19.6360i | − | 0.701733i | ||||||
\(784\) | 27.2637 | − | 6.37909i | 0.973702 | − | 0.227825i | ||||
\(785\) | −6.59491 | − | 0.747178i | −0.235382 | − | 0.0266679i | ||||
\(786\) | 7.22136 | − | 0.888507i | 0.257577 | − | 0.0316920i | ||||
\(787\) | 21.2939 | + | 21.2939i | 0.759046 | + | 0.759046i | 0.976149 | − | 0.217103i | \(-0.0696607\pi\) |
−0.217103 | + | 0.976149i | \(0.569661\pi\) | |||||||
\(788\) | 0.0281908 | − | 0.0469707i | 0.00100426 | − | 0.00167326i | ||||
\(789\) | −2.44763 | + | 2.44763i | −0.0871381 | + | 0.0871381i | ||||
\(790\) | 6.33520 | − | 6.45813i | 0.225396 | − | 0.229770i | ||||
\(791\) | −3.58923 | + | 27.4697i | −0.127618 | + | 0.976709i | ||||
\(792\) | 9.12042 | + | 4.05247i | 0.324080 | + | 0.143998i | ||||
\(793\) | 10.1262 | 0.359593 | ||||||||
\(794\) | −4.00761 | + | 5.13216i | −0.142225 | + | 0.182133i | ||||
\(795\) | −17.4961 | − | 21.9672i | −0.620524 | − | 0.779096i | ||||
\(796\) | −3.99992 | − | 16.0086i | −0.141773 | − | 0.567411i | ||||
\(797\) | −4.86843 | + | 4.86843i | −0.172449 | + | 0.172449i | −0.788054 | − | 0.615606i | \(-0.788911\pi\) |
0.615606 | + | 0.788054i | \(0.288911\pi\) | |||||||
\(798\) | −13.5094 | − | 0.101350i | −0.478227 | − | 0.00358774i | ||||
\(799\) | − | 20.3480i | − | 0.719860i | ||||||
\(800\) | −10.6614 | − | 26.1980i | −0.376937 | − | 0.926239i | ||||
\(801\) | − | 22.5864i | − | 0.798053i | ||||||
\(802\) | 26.3300 | − | 3.23961i | 0.929745 | − | 0.114395i | ||||
\(803\) | 1.83194 | + | 1.83194i | 0.0646478 | + | 0.0646478i | ||||
\(804\) | 24.5604 | − | 6.13668i | 0.866180 | − | 0.216424i | ||||
\(805\) | −35.8668 | + | 21.6294i | −1.26414 | + | 0.762336i | ||||
\(806\) | −10.2807 | + | 13.1655i | −0.362122 | + | 0.463734i | ||||
\(807\) | 9.79334i | 0.344742i | ||||||||
\(808\) | 18.6542 | − | 41.9829i | 0.656253 | − | 1.47695i | ||||
\(809\) | 13.2200i | 0.464790i | 0.972622 | + | 0.232395i | \(0.0746561\pi\) | ||||
−0.972622 | + | 0.232395i | \(0.925344\pi\) | |||||||
\(810\) | −2.10367 | − | 2.06362i | −0.0739153 | − | 0.0725084i | ||||
\(811\) | −7.97311 | − | 7.97311i | −0.279974 | − | 0.279974i | 0.553125 | − | 0.833099i | \(-0.313435\pi\) |
−0.833099 | + | 0.553125i | \(0.813435\pi\) | |||||||
\(812\) | 12.8750 | − | 16.2352i | 0.451823 | − | 0.569742i | ||||
\(813\) | 8.37775 | + | 8.37775i | 0.293821 | + | 0.293821i | ||||
\(814\) | 1.90861 | + | 15.5123i | 0.0668968 | + | 0.543705i | ||||
\(815\) | 23.6840 | + | 2.68330i | 0.829613 | + | 0.0939919i | ||||
\(816\) | −16.2392 | − | 4.94703i | −0.568485 | − | 0.173181i | ||||
\(817\) | 21.2868 | 0.744730 | ||||||||
\(818\) | 8.67513 | − | 1.06738i | 0.303319 | − | 0.0373200i | ||||
\(819\) | 4.74352 | + | 6.16942i | 0.165752 | + | 0.215577i | ||||
\(820\) | −2.02999 | − | 1.55402i | −0.0708904 | − | 0.0542687i | ||||
\(821\) | 35.3521 | + | 35.3521i | 1.23380 | + | 1.23380i | 0.962494 | + | 0.271301i | \(0.0874540\pi\) |
0.271301 | + | 0.962494i | \(0.412546\pi\) | |||||||
\(822\) | 15.5566 | + | 12.1479i | 0.542599 | + | 0.423706i | ||||
\(823\) | 3.61480i | 0.126004i | 0.998013 | + | 0.0630021i | \(0.0200675\pi\) | ||||
−0.998013 | + | 0.0630021i | \(0.979933\pi\) | |||||||
\(824\) | 26.2630 | − | 10.1041i | 0.914913 | − | 0.351991i | ||||
\(825\) | −1.99282 | + | 8.68185i | −0.0693811 | + | 0.302263i | ||||
\(826\) | −23.9147 | − | 24.2762i | −0.832098 | − | 0.844677i | ||||
\(827\) | −10.3874 | − | 10.3874i | −0.361206 | − | 0.361206i | 0.503051 | − | 0.864257i | \(-0.332211\pi\) |
−0.864257 | + | 0.503051i | \(0.832211\pi\) | |||||||
\(828\) | −27.3402 | + | 6.83122i | −0.950137 | + | 0.237401i | ||||
\(829\) | −21.2978 | − | 21.2978i | −0.739703 | − | 0.739703i | 0.232817 | − | 0.972521i | \(-0.425206\pi\) |
−0.972521 | + | 0.232817i | \(0.925206\pi\) | |||||||
\(830\) | −0.219341 | − | 22.8274i | −0.00761345 | − | 0.792351i | ||||
\(831\) | 17.7276 | 0.614965 | ||||||||
\(832\) | −0.601034 | + | 11.8079i | −0.0208371 | + | 0.409366i | ||||
\(833\) | −28.5717 | − | 7.59614i | −0.989952 | − | 0.263191i | ||||
\(834\) | −0.341402 | − | 2.77475i | −0.0118218 | − | 0.0960816i | ||||
\(835\) | −4.00391 | − | 5.02709i | −0.138561 | − | 0.173970i | ||||
\(836\) | −3.08845 | − | 12.3607i | −0.106816 | − | 0.427504i | ||||
\(837\) | −28.3383 | + | 28.3383i | −0.979514 | + | 0.979514i | ||||
\(838\) | −4.48359 | + | 5.74170i | −0.154883 | + | 0.198344i | ||||
\(839\) | − | 2.81542i | − | 0.0971991i | −0.998818 | − | 0.0485996i | \(-0.984524\pi\) | ||
0.998818 | − | 0.0485996i | \(-0.0154758\pi\) | |||||||
\(840\) | 2.08850 | + | 16.6843i | 0.0720602 | + | 0.575664i | ||||
\(841\) | 13.6662i | 0.471250i | ||||||||
\(842\) | 4.55381 | + | 3.55599i | 0.156935 | + | 0.122548i | ||||
\(843\) | 16.3020 | − | 16.3020i | 0.561470 | − | 0.561470i | ||||
\(844\) | 2.14921 | + | 1.28991i | 0.0739788 | + | 0.0444005i | ||||
\(845\) | 18.9178 | − | 15.0674i | 0.650792 | − | 0.518334i | ||||
\(846\) | −13.4590 | + | 1.65598i | −0.462731 | + | 0.0569339i | ||||
\(847\) | −2.69319 | + | 20.6119i | −0.0925390 | + | 0.708234i | ||||
\(848\) | 14.5689 | − | 47.8241i | 0.500298 | − | 1.64228i | ||||
\(849\) | 11.0108 | 0.377890 | ||||||||
\(850\) | −3.07674 | + | 29.7055i | −0.105531 | + | 1.01889i | ||||
\(851\) | −31.2058 | − | 31.2058i | −1.06972 | − | 1.06972i | ||||
\(852\) | −12.7141 | − | 7.63076i | −0.435579 | − | 0.261426i | ||||
\(853\) | 17.2420 | + | 17.2420i | 0.590355 | + | 0.590355i | 0.937727 | − | 0.347373i | \(-0.112926\pi\) |
−0.347373 | + | 0.937727i | \(0.612926\pi\) | |||||||
\(854\) | 17.9916 | + | 18.2636i | 0.615659 | + | 0.624967i | ||||
\(855\) | −1.80018 | + | 15.8892i | −0.0615650 | + | 0.543399i | ||||
\(856\) | −24.6619 | − | 10.9580i | −0.842926 | − | 0.374536i | ||||
\(857\) | − | 35.9399i | − | 1.22768i | −0.789429 | − | 0.613842i | \(-0.789623\pi\) | ||
0.789429 | − | 0.613842i | \(-0.210377\pi\) | |||||||
\(858\) | 2.29168 | − | 2.93474i | 0.0782368 | − | 0.100190i | ||||
\(859\) | −0.870434 | − | 0.870434i | −0.0296988 | − | 0.0296988i | 0.692101 | − | 0.721800i | \(-0.256685\pi\) |
−0.721800 | + | 0.692101i | \(0.756685\pi\) | |||||||
\(860\) | −3.48790 | − | 26.2634i | −0.118936 | − | 0.895575i | ||||
\(861\) | 0.926379 | + | 1.20485i | 0.0315709 | + | 0.0410611i | ||||
\(862\) | −2.36011 | − | 19.1818i | −0.0803857 | − | 0.653336i | ||||
\(863\) | 7.02100 | 0.238998 | 0.119499 | − | 0.992834i | \(-0.461871\pi\) | ||||
0.119499 | + | 0.992834i | \(0.461871\pi\) | |||||||
\(864\) | −4.89078 | + | 27.9416i | −0.166388 | + | 0.950591i | ||||
\(865\) | 36.0051 | + | 4.07924i | 1.22421 | + | 0.138698i | ||||
\(866\) | −15.9980 | + | 1.96838i | −0.543635 | + | 0.0668882i | ||||
\(867\) | 0.595185 | + | 0.595185i | 0.0202135 | + | 0.0202135i | ||||
\(868\) | −42.0112 | + | 4.84935i | −1.42595 | + | 0.164598i | ||||
\(869\) | −3.58641 | − | 3.58641i | −0.121661 | − | 0.121661i | ||||
\(870\) | 8.88277 | + | 8.71369i | 0.301154 | + | 0.295422i | ||||
\(871\) | 18.6164i | 0.630792i | ||||||||
\(872\) | 12.4209 | − | 27.9543i | 0.420624 | − | 0.946650i | ||||
\(873\) | − | 27.6272i | − | 0.935040i | ||||||
\(874\) | 28.3545 | + | 22.1415i | 0.959106 | + | 0.748949i | ||||
\(875\) | 28.1063 | − | 9.22149i | 0.950166 | − | 0.311743i | ||||
\(876\) | −1.51131 | + | 2.51810i | −0.0510624 | + | 0.0850786i | ||||
\(877\) | −25.2470 | − | 25.2470i | −0.852530 | − | 0.852530i | 0.137914 | − | 0.990444i | \(-0.455960\pi\) |
−0.990444 | + | 0.137914i | \(0.955960\pi\) | |||||||
\(878\) | 6.06077 | + | 49.2590i | 0.204541 | + | 1.66241i | ||||
\(879\) | 33.6460i | 1.13485i | ||||||||
\(880\) | −14.7445 | + | 5.83583i | −0.497036 | + | 0.196726i | ||||
\(881\) | − | 48.9206i | − | 1.64818i | −0.566462 | − | 0.824088i | \(-0.691688\pi\) | ||
0.566462 | − | 0.824088i | \(-0.308312\pi\) | |||||||
\(882\) | −2.69915 | + | 19.5168i | −0.0908853 | + | 0.657163i | ||||
\(883\) | −5.74890 | + | 5.74890i | −0.193466 | + | 0.193466i | −0.797192 | − | 0.603726i | \(-0.793682\pi\) |
0.603726 | + | 0.797192i | \(0.293682\pi\) | |||||||
\(884\) | 6.42423 | − | 10.7039i | 0.216070 | − | 0.360009i | ||||
\(885\) | 16.0072 | − | 12.7492i | 0.538076 | − | 0.428560i | ||||
\(886\) | −19.2959 | − | 15.0678i | −0.648257 | − | 0.506212i | ||||
\(887\) | −10.5480 | −0.354168 | −0.177084 | − | 0.984196i | \(-0.556666\pi\) | ||||
−0.177084 | + | 0.984196i | \(0.556666\pi\) | |||||||
\(888\) | −16.5354 | + | 6.36160i | −0.554891 | + | 0.213481i | ||||
\(889\) | −47.9903 | − | 6.27049i | −1.60954 | − | 0.210306i | ||||
\(890\) | 25.6187 | + | 25.1311i | 0.858741 | + | 0.842395i | ||||
\(891\) | −1.16823 | + | 1.16823i | −0.0391373 | + | 0.0391373i | ||||
\(892\) | −10.6602 | − | 42.6646i | −0.356929 | − | 1.42852i | ||||
\(893\) | 12.2410 | + | 12.2410i | 0.409628 | + | 0.409628i | ||||
\(894\) | −1.66989 | − | 13.5721i | −0.0558496 | − | 0.453919i | ||||
\(895\) | −2.83232 | + | 24.9992i | −0.0946739 | + | 0.835632i | ||||
\(896\) | −22.3645 | + | 19.8954i | −0.747146 | + | 0.664660i | ||||
\(897\) | 10.5139i | 0.351049i | ||||||||
\(898\) | 5.93953 | − | 0.730792i | 0.198205 | − | 0.0243869i | ||||
\(899\) | −22.1294 | + | 22.1294i | −0.738056 | + | 0.738056i | ||||
\(900\) | 19.8989 | − | 0.382440i | 0.663296 | − | 0.0127480i | ||||
\(901\) | −37.3260 | + | 37.3260i | −1.24351 | + | 1.24351i | ||||
\(902\) | −0.882145 | + | 1.12968i | −0.0293722 | + | 0.0376141i | ||||
\(903\) | −2.04061 | + | 15.6175i | −0.0679072 | + | 0.519718i | ||||
\(904\) | −10.6342 | − | 27.6409i | −0.353687 | − | 0.919322i | ||||
\(905\) | −0.424161 | − | 0.0480558i | −0.0140996 | − | 0.00159743i | ||||
\(906\) | −11.3977 | − | 8.90028i | −0.378664 | − | 0.295692i | ||||
\(907\) | −11.2172 | − | 11.2172i | −0.372461 | − | 0.372461i | 0.495912 | − | 0.868373i | \(-0.334834\pi\) |
−0.868373 | + | 0.495912i | \(0.834834\pi\) | |||||||
\(908\) | 36.2386 | + | 21.7497i | 1.20262 | + | 0.721788i | ||||
\(909\) | 22.8584 | + | 22.8584i | 0.758165 | + | 0.758165i | ||||
\(910\) | −12.2756 | − | 1.48413i | −0.406932 | − | 0.0491986i | ||||
\(911\) | 12.8130i | 0.424513i | 0.977214 | + | 0.212257i | \(0.0680813\pi\) | ||||
−0.977214 | + | 0.212257i | \(0.931919\pi\) | |||||||
\(912\) | 12.7452 | − | 6.79313i | 0.422036 | − | 0.224943i | ||||
\(913\) | −12.7986 | −0.423572 | ||||||||
\(914\) | −7.81119 | + | 0.961080i | −0.258371 | + | 0.0317897i | ||||
\(915\) | −12.0426 | + | 9.59153i | −0.398116 | + | 0.317086i | ||||
\(916\) | 16.9986 | − | 28.3226i | 0.561651 | − | 0.935805i | ||||
\(917\) | −10.7387 | + | 8.25672i | −0.354623 | + | 0.272661i | ||||
\(918\) | 18.4338 | − | 23.6064i | 0.608406 | − | 0.779127i | ||||
\(919\) | −8.79411 | −0.290091 | −0.145046 | − | 0.989425i | \(-0.546333\pi\) | ||||
−0.145046 | + | 0.989425i | \(0.546333\pi\) | |||||||
\(920\) | 22.6720 | − | 38.6115i | 0.747475 | − | 1.27298i | ||||
\(921\) | − | 22.2286i | − | 0.732456i | ||||||
\(922\) | 26.3456 | + | 20.5728i | 0.867645 | + | 0.677529i | ||||
\(923\) | 7.71054 | − | 7.71054i | 0.253796 | − | 0.253796i | ||||
\(924\) | 9.36476 | − | 1.08098i | 0.308078 | − | 0.0355615i | ||||
\(925\) | 16.5498 | + | 26.4110i | 0.544155 | + | 0.868388i | ||||
\(926\) | 30.6804 | − | 3.77488i | 1.00822 | − | 0.124050i | ||||
\(927\) | 19.8007i | 0.650341i | ||||||||
\(928\) | −3.81921 | + | 21.8196i | −0.125372 | + | 0.716263i | ||||
\(929\) | 23.0876i | 0.757480i | 0.925503 | + | 0.378740i | \(0.123643\pi\) | ||||
−0.925503 | + | 0.378740i | \(0.876357\pi\) | |||||||
\(930\) | −0.244011 | − | 25.3949i | −0.00800144 | − | 0.832730i | ||||
\(931\) | 21.7579 | − | 12.6185i | 0.713086 | − | 0.413555i | ||||
\(932\) | 2.30763 | − | 0.576584i | 0.0755889 | − | 0.0188867i | ||||
\(933\) | −22.6077 | + | 22.6077i | −0.740143 | + | 0.740143i | ||||
\(934\) | 11.2195 | + | 8.76112i | 0.367114 | + | 0.286673i | ||||
\(935\) | 16.6368 | + | 1.88489i | 0.544082 | + | 0.0616424i | ||||
\(936\) | −7.60281 | − | 3.37814i | −0.248506 | − | 0.110418i | ||||
\(937\) | 10.4215i | 0.340456i | 0.985405 | + | 0.170228i | \(0.0544505\pi\) | ||||
−0.985405 | + | 0.170228i | \(0.945550\pi\) | |||||||
\(938\) | −33.5763 | + | 33.0763i | −1.09631 | + | 1.07998i | ||||
\(939\) | −21.6910 | + | 21.6910i | −0.707860 | + | 0.707860i | ||||
\(940\) | 13.0970 | − | 17.1085i | 0.427179 | − | 0.558017i | ||||
\(941\) | 4.74189 | + | 4.74189i | 0.154581 | + | 0.154581i | 0.780161 | − | 0.625579i | \(-0.215137\pi\) |
−0.625579 | + | 0.780161i | \(0.715137\pi\) | |||||||
\(942\) | −4.18650 | + | 0.515102i | −0.136404 | + | 0.0167829i | ||||
\(943\) | − | 4.04715i | − | 0.131793i | ||||||
\(944\) | 34.8487 | + | 10.6162i | 1.13423 | + | 0.345527i | ||||
\(945\) | −28.7965 | − | 7.13069i | −0.936751 | − | 0.231962i | ||||
\(946\) | −14.7425 | + | 1.81390i | −0.479320 | + | 0.0589750i | ||||
\(947\) | −16.3829 | + | 16.3829i | −0.532372 | + | 0.532372i | −0.921277 | − | 0.388906i | \(-0.872853\pi\) |
0.388906 | + | 0.921277i | \(0.372853\pi\) | |||||||
\(948\) | 2.95871 | − | 4.92970i | 0.0960943 | − | 0.160109i | ||||
\(949\) | −1.52711 | − | 1.52711i | −0.0495721 | − | 0.0495721i | ||||
\(950\) | −16.0193 | − | 19.7211i | −0.519736 | − | 0.639838i | ||||
\(951\) | 23.8164i | 0.772298i | ||||||||
\(952\) | 30.7195 | − | 7.43118i | 0.995624 | − | 0.240846i | ||||
\(953\) | −56.8190 | −1.84055 | −0.920275 | − | 0.391273i | \(-0.872035\pi\) | ||||
−0.920275 | + | 0.391273i | \(0.872035\pi\) | |||||||
\(954\) | 27.7267 | + | 21.6513i | 0.897685 | + | 0.700986i | ||||
\(955\) | −3.54239 | + | 2.82140i | −0.114629 | + | 0.0912983i | ||||
\(956\) | 1.75780 | + | 7.03513i | 0.0568513 | + | 0.227532i | ||||
\(957\) | 4.93289 | − | 4.93289i | 0.159458 | − | 0.159458i | ||||
\(958\) | 4.19144 | − | 0.515710i | 0.135419 | − | 0.0166618i | ||||
\(959\) | −36.4376 | − | 4.76099i | −1.17663 | − | 0.153740i | ||||
\(960\) | −10.4696 | − | 14.6118i | −0.337906 | − | 0.471595i | ||||
\(961\) | 32.8733 | 1.06043 | ||||||||
\(962\) | −1.59102 | − | 12.9311i | −0.0512967 | − | 0.416914i | ||||
\(963\) | 13.4276 | − | 13.4276i | 0.432700 | − | 0.432700i | ||||
\(964\) | 3.40270 | + | 13.6184i | 0.109594 | + | 0.438620i | ||||
\(965\) | 40.2694 | − | 32.0733i | 1.29632 | − | 1.03248i | ||||
\(966\) | −18.9628 | + | 18.6804i | −0.610117 | + | 0.601031i | ||||
\(967\) | 49.5801i | 1.59439i | 0.603723 | + | 0.797194i | \(0.293683\pi\) | ||||
−0.603723 | + | 0.797194i | \(0.706317\pi\) | |||||||
\(968\) | −7.97938 | − | 20.7404i | −0.256467 | − | 0.666621i | ||||
\(969\) | −15.2494 | −0.489881 | ||||||||
\(970\) | 31.3362 | + | 30.7398i | 1.00615 | + | 0.986994i | ||||
\(971\) | −2.06190 | − | 2.06190i | −0.0661695 | − | 0.0661695i | 0.673248 | − | 0.739417i | \(-0.264899\pi\) |
−0.739417 | + | 0.673248i | \(0.764899\pi\) | |||||||
\(972\) | −27.4032 | − | 16.4468i | −0.878958 | − | 0.527532i | ||||
\(973\) | 3.17258 | + | 4.12625i | 0.101708 | + | 0.132282i | ||||
\(974\) | −1.70490 | − | 13.8566i | −0.0546286 | − | 0.443995i | ||||
\(975\) | 1.66122 | − | 7.23721i | 0.0532016 | − | 0.231776i | ||||
\(976\) | −26.2176 | − | 7.98680i | −0.839204 | − | 0.255651i | ||||
\(977\) | − | 31.7369i | − | 1.01535i | −0.861547 | − | 0.507677i | \(-0.830504\pi\) | ||
0.861547 | − | 0.507677i | \(-0.169496\pi\) | |||||||
\(978\) | 15.0348 | − | 1.84986i | 0.480759 | − | 0.0591520i | ||||
\(979\) | 14.2269 | − | 14.2269i | 0.454694 | − | 0.454694i | ||||
\(980\) | −19.1337 | − | 24.7771i | −0.611202 | − | 0.791474i | ||||
\(981\) | 15.2202 | + | 15.2202i | 0.485945 | + | 0.485945i | ||||
\(982\) | 24.0748 | − | 30.8303i | 0.768258 | − | 0.983833i | ||||
\(983\) | 10.2794 | 0.327861 | 0.163930 | − | 0.986472i | \(-0.447583\pi\) | ||||
0.163930 | + | 0.986472i | \(0.447583\pi\) | |||||||
\(984\) | −1.48478 | − | 0.659730i | −0.0473331 | − | 0.0210314i | ||||
\(985\) | −0.0608578 | − | 0.00689496i | −0.00193909 | − | 0.000219692i | ||||
\(986\) | 14.3950 | − | 18.4342i | 0.458429 | − | 0.587066i | ||||
\(987\) | −10.1543 | + | 7.80739i | −0.323215 | + | 0.248512i | ||||
\(988\) | 2.57454 | + | 10.3039i | 0.0819070 | + | 0.327811i | ||||
\(989\) | 29.6572 | − | 29.6572i | 0.943045 | − | 0.943045i | ||||
\(990\) | −0.107211 | − | 11.1577i | −0.00340739 | − | 0.354615i | ||||
\(991\) | − | 50.7089i | − | 1.61082i | −0.592716 | − | 0.805411i | \(-0.701945\pi\) | ||
0.592716 | − | 0.805411i | \(-0.298055\pi\) | |||||||
\(992\) | 37.0014 | − | 25.9778i | 1.17480 | − | 0.824795i | ||||
\(993\) | 12.9517 | 0.411009 | ||||||||
\(994\) | 27.6062 | + | 0.207107i | 0.875616 | + | 0.00656903i | ||||
\(995\) | −14.4306 | + | 11.4935i | −0.457482 | + | 0.364369i | ||||
\(996\) | −3.51689 | − | 14.0755i | −0.111437 | − | 0.445998i | ||||
\(997\) | −38.0902 | − | 38.0902i | −1.20633 | − | 1.20633i | −0.972207 | − | 0.234122i | \(-0.924778\pi\) |
−0.234122 | − | 0.972207i | \(-0.575222\pi\) | |||||||
\(998\) | −23.8827 | − | 18.6496i | −0.755995 | − | 0.590343i | ||||
\(999\) | − | 31.2583i | − | 0.988970i |
(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 | 560.2.be.a.139.4 | yes | 184 | |
5.4 | even | 2 | inner | 560.2.be.a.139.89 | yes | 184 | |
7.6 | odd | 2 | inner | 560.2.be.a.139.3 | ✓ | 184 | |
16.3 | odd | 4 | inner | 560.2.be.a.419.90 | yes | 184 | |
35.34 | odd | 2 | inner | 560.2.be.a.139.90 | yes | 184 | |
80.19 | odd | 4 | inner | 560.2.be.a.419.3 | yes | 184 | |
112.83 | even | 4 | inner | 560.2.be.a.419.89 | yes | 184 | |
560.419 | even | 4 | inner | 560.2.be.a.419.4 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
560.2.be.a.139.3 | ✓ | 184 | 7.6 | odd | 2 | inner | |
560.2.be.a.139.4 | yes | 184 | 1.1 | even | 1 | trivial | |
560.2.be.a.139.89 | yes | 184 | 5.4 | even | 2 | inner | |
560.2.be.a.139.90 | yes | 184 | 35.34 | odd | 2 | inner | |
560.2.be.a.419.3 | yes | 184 | 80.19 | odd | 4 | inner | |
560.2.be.a.419.4 | yes | 184 | 560.419 | even | 4 | inner | |
560.2.be.a.419.89 | yes | 184 | 112.83 | even | 4 | inner | |
560.2.be.a.419.90 | yes | 184 | 16.3 | odd | 4 | inner |