Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [920,2,Mod(17,920)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(920, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 0, 11, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("920.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 920 = 2^{3} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 920.bv (of order \(44\), degree \(20\), 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: | \(7.34623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(720\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Character | \(\chi\) | \(=\) | 920.17 |
Dual form | 920.2.bv.a.433.2 |
$q$-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 \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{22}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −2.83699 | + | 1.54911i | −1.63794 | + | 0.894381i | −0.646631 | + | 0.762803i | \(0.723823\pi\) |
−0.991306 | + | 0.131579i | \(0.957995\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.823524 | − | 2.07890i | 0.368291 | − | 0.929710i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.50378 | − | 3.34466i | −0.946339 | − | 1.26416i | −0.964434 | − | 0.264325i | \(-0.914851\pi\) |
0.0180943 | − | 0.999836i | \(-0.494240\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 4.02684 | − | 6.26588i | 1.34228 | − | 2.08863i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.09151 | + | 0.955162i | −0.630615 | + | 0.287992i | −0.704967 | − | 0.709240i | \(-0.749038\pi\) |
0.0743525 | + | 0.997232i | \(0.476311\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.94512 | − | 2.95328i | −1.09418 | − | 0.819093i | −0.109591 | − | 0.993977i | \(-0.534954\pi\) |
−0.984589 | + | 0.174883i | \(0.944045\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.884116 | + | 7.17354i | 0.228278 | + | 1.85220i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.306224 | + | 4.28157i | 0.0742702 | + | 1.03843i | 0.888795 | + | 0.458305i | \(0.151543\pi\) |
−0.814525 | + | 0.580128i | \(0.803002\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.62640 | + | 4.18509i | 0.831953 | + | 0.960125i | 0.999669 | − | 0.0257099i | \(-0.00818461\pi\) |
−0.167716 | + | 0.985835i | \(0.553639\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 12.2844 | + | 5.61012i | 2.68069 | + | 1.22423i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.71368 | − | 3.03456i | 0.774357 | − | 0.632749i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.64362 | − | 3.42404i | −0.728723 | − | 0.684809i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.02575 | + | 14.3418i | −0.197406 | + | 2.76009i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.00107 | + | 3.46695i | 0.742980 | + | 0.643796i | 0.941774 | − | 0.336246i | \(-0.109157\pi\) |
−0.198795 | + | 0.980041i | \(0.563703\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.20387 | + | 2.11525i | −1.29385 | + | 0.379910i | −0.854990 | − | 0.518644i | \(-0.826437\pi\) |
−0.438864 | + | 0.898554i | \(0.644619\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.45395 | − | 5.94977i | 0.775332 | − | 1.03572i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −9.01512 | + | 2.45069i | −1.52383 | + | 0.414242i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.96155 | + | 1.29686i | −0.980073 | + | 0.213202i | −0.673939 | − | 0.738787i | \(-0.735399\pi\) |
−0.306133 | + | 0.951989i | \(0.599035\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 15.7673 | + | 2.26699i | 2.52478 | + | 0.363009i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.67857 | − | 1.72141i | 0.418322 | − | 0.268839i | −0.314503 | − | 0.949256i | \(-0.601838\pi\) |
0.732825 | + | 0.680417i | \(0.238201\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.506766 | − | 0.928072i | −0.0772811 | − | 0.141530i | 0.836181 | − | 0.548454i | \(-0.184783\pi\) |
−0.913462 | + | 0.406924i | \(0.866601\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −9.70992 | − | 13.5315i | −1.44747 | − | 2.01715i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.89883 | + | 1.89883i | 0.276973 | + | 0.276973i | 0.831899 | − | 0.554926i | \(-0.187254\pi\) |
−0.554926 | + | 0.831899i | \(0.687254\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.94569 | + | 10.0321i | −0.420813 | + | 1.43316i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −7.50139 | − | 11.6724i | −1.05041 | − | 1.63446i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −3.73011 | + | 2.79232i | −0.512369 | + | 0.383555i | −0.823948 | − | 0.566665i | \(-0.808233\pi\) |
0.311579 | + | 0.950220i | \(0.399142\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.263270 | + | 5.13463i | 0.0354993 | + | 0.692354i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −16.7712 | − | 6.25535i | −2.22141 | − | 0.828542i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −8.23557 | + | 1.18410i | −1.07218 | + | 0.154156i | −0.655725 | − | 0.755000i | \(-0.727637\pi\) |
−0.416455 | + | 0.909156i | \(0.636728\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.86637 | + | 13.1677i | 0.495038 | + | 1.68595i | 0.705802 | + | 0.708409i | \(0.250587\pi\) |
−0.210764 | + | 0.977537i | \(0.567595\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −31.0395 | + | 2.21999i | −3.91061 | + | 0.279693i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −9.38847 | + | 5.76940i | −1.16450 | + | 0.715606i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.861972 | + | 2.31104i | 0.105307 | + | 0.282338i | 0.978907 | − | 0.204306i | \(-0.0654937\pi\) |
−0.873601 | + | 0.486644i | \(0.838221\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.83481 | + | 14.3619i | −0.702429 | + | 1.72897i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.667794 | − | 1.46227i | 0.0792526 | − | 0.173539i | −0.865858 | − | 0.500290i | \(-0.833227\pi\) |
0.945110 | + | 0.326751i | \(0.105954\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.05309 | + | 0.504447i | 0.825502 | + | 0.0590410i | 0.477696 | − | 0.878525i | \(-0.341472\pi\) |
0.347806 | + | 0.937566i | \(0.386927\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 15.6411 | + | 4.06960i | 1.80608 | + | 0.469917i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 8.43137 | + | 4.60388i | 0.960844 | + | 0.524660i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.31624 | − | 9.15465i | −0.148089 | − | 1.02998i | −0.919344 | − | 0.393454i | \(-0.871280\pi\) |
0.771256 | − | 0.636525i | \(-0.219629\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −10.0247 | − | 21.9511i | −1.11386 | − | 2.43902i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.975600 | + | 4.48476i | 0.107086 | + | 0.492266i | 0.999183 | + | 0.0404218i | \(0.0128702\pi\) |
−0.892097 | + | 0.451844i | \(0.850766\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9.15312 | + | 2.88937i | 0.992795 | + | 0.313396i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −16.7217 | − | 3.63758i | −1.79275 | − | 0.389989i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.18455 | − | 1.52232i | −0.549561 | − | 0.161366i | −0.00484811 | − | 0.999988i | \(-0.501543\pi\) |
−0.544713 | + | 0.838623i | \(0.683361\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 20.5895i | 2.15836i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 17.1606 | − | 17.1606i | 1.77947 | − | 1.77947i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 11.6868 | − | 4.09239i | 1.19904 | − | 0.419870i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.50196 | + | 11.5013i | −0.254036 | + | 1.16778i | 0.656491 | + | 0.754334i | \(0.272040\pi\) |
−0.910527 | + | 0.413450i | \(0.864324\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.43725 | + | 16.9514i | −0.244953 | + | 1.70368i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.13105 | + | 3.29752i | 0.510558 | + | 0.328116i | 0.770427 | − | 0.637528i | \(-0.220043\pi\) |
−0.259869 | + | 0.965644i | \(0.583679\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.40218 | − | 14.4838i | 0.532293 | − | 1.42713i | −0.341058 | − | 0.940042i | \(-0.610785\pi\) |
0.873351 | − | 0.487091i | \(-0.161942\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 21.7794 | − | 20.9180i | 2.12545 | − | 2.04139i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −2.73025 | + | 5.00008i | −0.263943 | + | 0.483376i | −0.975718 | − | 0.219032i | \(-0.929710\pi\) |
0.711774 | + | 0.702408i | \(0.247892\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.99848 | − | 10.3848i | 0.861898 | − | 0.994683i | −0.138093 | − | 0.990419i | \(-0.544097\pi\) |
0.999991 | − | 0.00426394i | \(-0.00135726\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 14.9039 | − | 12.9143i | 1.41461 | − | 1.22577i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −14.2265 | + | 5.30620i | −1.33831 | + | 0.499165i | −0.913766 | − | 0.406240i | \(-0.866840\pi\) |
−0.424548 | + | 0.905406i | \(0.639567\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.25022 | − | 10.2194i | −0.303085 | − | 0.952964i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −34.3913 | + | 12.8273i | −3.17948 | + | 1.18588i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 13.5537 | − | 11.7443i | 1.24246 | − | 1.07660i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.74138 | + | 4.31778i | −0.340125 | + | 0.392526i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.93241 | + | 9.03303i | −0.444740 | + | 0.814481i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −10.1188 | + | 4.75491i | −0.905056 | + | 0.425292i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.29327 | + | 14.1918i | −0.469702 | + | 1.25932i | 0.458982 | + | 0.888446i | \(0.348214\pi\) |
−0.928684 | + | 0.370873i | \(0.879059\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.87538 | + | 1.84789i | 0.253163 | + | 0.162698i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.00349255 | + | 0.0242912i | −0.000305145 | + | 0.00212233i | −0.989973 | − | 0.141254i | \(-0.954887\pi\) |
0.989668 | + | 0.143376i | \(0.0457958\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.91798 | − | 22.6076i | 0.426443 | − | 1.96033i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 28.9705 | + | 13.9433i | 2.49338 | + | 1.20005i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.503236 | − | 0.503236i | 0.0429944 | − | 0.0429944i | −0.685283 | − | 0.728277i | \(-0.740321\pi\) |
0.728277 | + | 0.685283i | \(0.240321\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.91548i | 0.586564i | 0.956026 | + | 0.293282i | \(0.0947474\pi\) | ||||
−0.956026 | + | 0.293282i | \(0.905253\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.32847 | − | 2.44546i | −0.701384 | − | 0.205945i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 11.0721 | + | 2.40860i | 0.925899 | + | 0.201417i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 10.5024 | − | 5.46269i | 0.872176 | − | 0.453652i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −7.18398 | − | 33.0242i | −0.592524 | − | 2.72379i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.47939 | − | 7.61881i | −0.285043 | − | 0.624157i | 0.711901 | − | 0.702280i | \(-0.247835\pi\) |
−0.996944 | + | 0.0781229i | \(0.975107\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.590028 | − | 4.10373i | −0.0480158 | − | 0.333957i | −0.999643 | − | 0.0267033i | \(-0.991499\pi\) |
0.951628 | − | 0.307254i | \(-0.0994100\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 28.0609 | + | 15.3224i | 2.26859 | + | 1.23874i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.53519 | + | 16.7181i | −0.123309 | + | 1.34283i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.23164 | + | 0.517217i | 0.577148 | + | 0.0412784i | 0.356862 | − | 0.934157i | \(-0.383847\pi\) |
0.220286 | + | 0.975435i | \(0.429301\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 6.25665 | − | 13.7002i | 0.496185 | − | 1.08649i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −19.4478 | − | 4.82314i | −1.53270 | − | 0.380116i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.49192 | + | 12.0433i | 0.351834 | + | 0.943304i | 0.985497 | + | 0.169694i | \(0.0542781\pi\) |
−0.633663 | + | 0.773610i | \(0.718449\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −8.70103 | − | 14.1591i | −0.677374 | − | 1.10228i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 15.7539 | − | 1.12674i | 1.21907 | − | 0.0871900i | 0.553068 | − | 0.833136i | \(-0.313457\pi\) |
0.666007 | + | 0.745946i | \(0.268002\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.17960 | + | 10.8287i | 0.244585 | + | 0.832979i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 40.8262 | − | 5.86992i | 3.12206 | − | 0.448884i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −4.21759 | − | 1.57308i | −0.320657 | − | 0.119599i | 0.183981 | − | 0.982930i | \(-0.441101\pi\) |
−0.504639 | + | 0.863331i | \(0.668374\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.32944 | + | 20.7597i | −0.176089 | + | 1.56928i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 21.5299 | − | 16.1171i | 1.61829 | − | 1.21144i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.09858 | − | 7.93355i | −0.381086 | − | 0.592981i | 0.596731 | − | 0.802441i | \(-0.296466\pi\) |
−0.977817 | + | 0.209460i | \(0.932829\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.76781 | + | 19.6434i | −0.428718 | + | 1.46008i | 0.408272 | + | 0.912861i | \(0.366132\pi\) |
−0.836990 | + | 0.547219i | \(0.815687\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −31.3671 | − | 31.3671i | −2.31872 | − | 2.31872i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.21345 | + | 13.4614i | −0.162736 | + | 0.989704i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.73006 | − | 8.66246i | −0.345896 | − | 0.633462i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 50.5368 | − | 32.4780i | 3.67601 | − | 2.36243i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.56066 | + | 0.655723i | 0.329997 | + | 0.0474465i | 0.305322 | − | 0.952249i | \(-0.401236\pi\) |
0.0246751 | + | 0.999696i | \(0.492145\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.83082 | − | 0.615808i | 0.203767 | − | 0.0443268i | −0.109523 | − | 0.993984i | \(-0.534932\pi\) |
0.313290 | + | 0.949657i | \(0.398569\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 17.6975 | − | 30.9115i | 1.26735 | − | 2.21362i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −8.75134 | + | 11.6904i | −0.623507 | + | 0.832908i | −0.995444 | − | 0.0953500i | \(-0.969603\pi\) |
0.371937 | + | 0.928258i | \(0.378694\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.62762 | + | 0.771540i | −0.186267 | + | 0.0546930i | −0.373536 | − | 0.927616i | \(-0.621855\pi\) |
0.187269 | + | 0.982309i | \(0.440037\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −6.02546 | − | 5.22109i | −0.425003 | − | 0.368267i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.57795 | − | 22.0627i | 0.110751 | − | 1.54850i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.37277 | − | 6.98608i | −0.0958782 | − | 0.487929i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −4.05978 | − | 35.4892i | −0.282174 | − | 2.46667i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −11.5821 | − | 5.28937i | −0.801151 | − | 0.365873i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.34378 | + | 8.47517i | 0.505567 | + | 0.583455i | 0.949958 | − | 0.312378i | \(-0.101125\pi\) |
−0.444391 | + | 0.895833i | \(0.646580\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.370690 | + | 5.18292i | 0.0253992 | + | 0.355128i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −2.34670 | + | 0.289223i | −0.160044 | + | 0.0197249i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 25.1117 | + | 18.7984i | 1.70469 | + | 1.27612i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −20.7910 | + | 9.49493i | −1.40492 | + | 0.641608i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 11.4366 | − | 17.7957i | 0.769309 | − | 1.19707i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.65924 | + | 11.5674i | 0.579866 | + | 0.774610i | 0.990548 | − | 0.137169i | \(-0.0438003\pi\) |
−0.410682 | + | 0.911779i | \(0.634709\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −36.1269 | + | 9.04240i | −2.40846 | + | 0.602826i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −4.92676 | + | 2.69021i | −0.327000 | + | 0.178556i | −0.634360 | − | 0.773038i | \(-0.718736\pi\) |
0.307360 | + | 0.951593i | \(0.400555\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.0327 | 1.25771 | 0.628857 | − | 0.777521i | \(-0.283523\pi\) | ||||
0.628857 | + | 0.777521i | \(0.283523\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −31.0516 | −2.04305 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −12.6842 | + | 6.92611i | −0.830971 | + | 0.453744i | −0.837633 | − | 0.546234i | \(-0.816061\pi\) |
0.00666235 | + | 0.999978i | \(0.497879\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.51121 | − | 2.38374i | 0.359511 | − | 0.155498i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 17.9158 | + | 23.9327i | 1.16375 | + | 1.55459i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.95690 | − | 10.8251i | 0.450004 | − | 0.700221i | −0.539936 | − | 0.841706i | \(-0.681552\pi\) |
0.989940 | + | 0.141486i | \(0.0451879\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.91855 | + | 1.33286i | −0.188000 | + | 0.0858568i | −0.507191 | − | 0.861834i | \(-0.669316\pi\) |
0.319191 | + | 0.947690i | \(0.396589\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 27.9132 | + | 20.8956i | 1.79063 | + | 1.34045i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 18.4299 | + | 14.3855i | 1.17744 | + | 0.919054i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.94685 | − | 27.2205i | −0.123875 | − | 1.73200i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −9.71517 | − | 11.2119i | −0.615674 | − | 0.710526i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.58110 | + | 1.17875i | 0.162918 | + | 0.0744021i | 0.495205 | − | 0.868776i | \(-0.335093\pi\) |
−0.332287 | + | 0.943178i | \(0.607820\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.86872 | + | 9.89398i | −0.306094 | + | 0.622029i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −30.4433 | + | 5.98211i | −1.90643 | + | 0.374614i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0.747940 | − | 10.4576i | 0.0466552 | − | 0.652325i | −0.919290 | − | 0.393580i | \(-0.871236\pi\) |
0.965946 | − | 0.258745i | \(-0.0833090\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 19.2639 | + | 16.6923i | 1.19700 | + | 1.03721i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 37.8351 | − | 11.1094i | 2.34194 | − | 0.687654i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −4.20686 | + | 5.61971i | −0.259406 | + | 0.346526i | −0.911270 | − | 0.411810i | \(-0.864897\pi\) |
0.651864 | + | 0.758336i | \(0.273987\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.73311 | + | 10.0540i | 0.167894 | + | 0.617615i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 17.0668 | − | 3.71265i | 1.04447 | − | 0.227210i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −28.2928 | − | 4.06789i | −1.72504 | − | 0.248024i | −0.792703 | − | 0.609608i | \(-0.791327\pi\) |
−0.932339 | + | 0.361584i | \(0.882236\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.5599 | + | 11.2851i | −1.06669 | + | 0.685518i | −0.951445 | − | 0.307819i | \(-0.900401\pi\) |
−0.115242 | + | 0.993337i | \(0.536764\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −31.8954 | − | 58.4121i | −1.93040 | − | 3.53526i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 10.8912 | + | 3.68119i | 0.656763 | + | 0.221984i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.14698 | + | 3.14698i | 0.189084 | + | 0.189084i | 0.795300 | − | 0.606216i | \(-0.207313\pi\) |
−0.606216 | + | 0.795300i | \(0.707313\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −15.7549 | + | 53.6564i | −0.943223 | + | 3.21232i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.4871 | − | 17.8743i | −0.685265 | − | 1.06629i | −0.993372 | − | 0.114941i | \(-0.963332\pi\) |
0.308108 | − | 0.951351i | \(-0.400304\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.07081 | + | 6.04173i | −0.479760 | + | 0.359144i | −0.811621 | − | 0.584185i | \(-0.801414\pi\) |
0.331861 | + | 0.943328i | \(0.392324\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −26.8158 | + | 29.7142i | −1.58843 | + | 1.76012i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −12.4641 | − | 4.64885i | −0.735730 | − | 0.274413i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.41110 | + | 0.202885i | −0.0830058 | + | 0.0119344i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −10.7188 | − | 36.5050i | −0.628349 | − | 2.13996i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 7.30962 | − | 0.522794i | 0.427033 | − | 0.0305420i | 0.143831 | − | 0.989602i | \(-0.454058\pi\) |
0.283202 | + | 0.959060i | \(0.408603\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.32058 | + | 18.0960i | −0.251554 | + | 1.05359i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −11.5534 | − | 30.9759i | −0.670397 | − | 1.79740i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −23.6129 | + | 1.00415i | −1.36557 | + | 0.0580715i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.83525 | + | 4.01865i | −0.105782 | + | 0.231631i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −19.6650 | − | 1.40647i | −1.12972 | − | 0.0807994i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 30.5582 | + | 2.80610i | 1.74976 | + | 0.160677i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −21.5092 | − | 11.7449i | −1.22759 | − | 0.670317i | −0.271236 | − | 0.962513i | \(-0.587432\pi\) |
−0.956358 | + | 0.292196i | \(0.905614\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 7.11114 | + | 49.4590i | 0.404538 | + | 2.81363i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.86753 | − | 8.46870i | −0.219307 | − | 0.480216i | 0.767717 | − | 0.640790i | \(-0.221393\pi\) |
−0.987024 | + | 0.160574i | \(0.948666\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.87631 | − | 13.2222i | −0.162579 | − | 0.747363i | −0.984162 | − | 0.177274i | \(-0.943272\pi\) |
0.821583 | − | 0.570089i | \(-0.193091\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −20.9467 | + | 66.3562i | −1.18021 | + | 3.73875i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −13.2133 | − | 2.87438i | −0.742133 | − | 0.161441i | −0.174424 | − | 0.984671i | \(-0.555806\pi\) |
−0.567709 | + | 0.823230i | \(0.692170\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.6798 | − | 3.42949i | −0.653942 | − | 0.192015i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 18.4147i | − | 1.02781i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −16.8083 | + | 16.8083i | −0.935237 | + | 0.935237i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.26235 | + | 24.2689i | 0.236432 | + | 1.34620i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −9.44136 | + | 43.4012i | −0.522108 | + | 2.40009i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.59669 | − | 11.1052i | 0.0880281 | − | 0.612249i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −23.5800 | − | 15.1540i | −1.29608 | − | 0.832938i | −0.303297 | − | 0.952896i | \(-0.598087\pi\) |
−0.992779 | + | 0.119959i | \(0.961724\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −15.8802 | + | 42.5766i | −0.870232 | + | 2.33318i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 5.51426 | + | 0.111245i | 0.301276 | + | 0.00607796i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.41546 | + | 17.2431i | −0.512893 | + | 0.939293i | 0.485007 | + | 0.874511i | \(0.338817\pi\) |
−0.997899 | + | 0.0647826i | \(0.979365\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 32.1405 | − | 37.0921i | 1.74563 | − | 2.01456i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.0466 | − | 11.3049i | 0.706512 | − | 0.612196i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.5273 | − | 5.04543i | 0.730407 | − | 0.272428i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 25.0519 | + | 23.9574i | 1.34875 | + | 1.28982i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 19.5750 | − | 7.30108i | 1.05084 | − | 0.391943i | 0.236075 | − | 0.971735i | \(-0.424139\pi\) |
0.814764 | + | 0.579792i | \(0.196866\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.6493 | + | 10.9607i | −0.677100 | + | 0.586711i | −0.924029 | − | 0.382323i | \(-0.875124\pi\) |
0.246928 | + | 0.969034i | \(0.420579\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 46.4022 | − | 53.5510i | 2.47677 | − | 2.85834i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 6.47038 | − | 11.8496i | 0.344383 | − | 0.630691i | −0.646880 | − | 0.762592i | \(-0.723926\pi\) |
0.991263 | + | 0.131901i | \(0.0421082\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.48995 | − | 2.59249i | −0.132153 | − | 0.137595i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −20.2583 | + | 54.3147i | −1.07218 | + | 2.87464i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −19.7419 | − | 12.6873i | −1.04194 | − | 0.669611i | −0.0964707 | − | 0.995336i | \(-0.530755\pi\) |
−0.945465 | + | 0.325725i | \(0.894392\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.66021 | + | 11.5470i | −0.0873795 | + | 0.607738i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.92552 | − | 18.0453i | 0.206036 | − | 0.947134i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 6.85708 | − | 14.2472i | 0.358916 | − | 0.745733i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.54247 | + | 6.54247i | −0.341514 | + | 0.341514i | −0.856936 | − | 0.515422i | \(-0.827635\pi\) |
0.515422 | + | 0.856936i | \(0.327635\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 23.7154i | − | 1.23458i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 18.6787 | + | 5.48457i | 0.969751 | + | 0.284745i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.26408 | + | 1.14513i | 0.272564 | + | 0.0592926i | 0.346770 | − | 0.937950i | \(-0.387279\pi\) |
−0.0742059 | + | 0.997243i | \(0.523642\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 21.3411 | − | 29.1649i | 1.10205 | − | 1.50607i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −5.54584 | − | 25.4938i | −0.285625 | − | 1.31300i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −12.7747 | − | 27.9727i | −0.656193 | − | 1.43686i | −0.886027 | − | 0.463633i | \(-0.846546\pi\) |
0.229834 | − | 0.973230i | \(-0.426182\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −6.96776 | − | 48.4619i | −0.356969 | − | 2.48278i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.26972 | + | 0.693322i | 0.0648799 | + | 0.0354271i | 0.511361 | − | 0.859366i | \(-0.329141\pi\) |
−0.446482 | + | 0.894793i | \(0.647323\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 16.5144 | − | 13.7365i | 0.841653 | − | 0.700079i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −7.85586 | − | 0.561862i | −0.399336 | − | 0.0285610i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 14.7804 | − | 32.3645i | 0.749394 | − | 1.64094i | −0.0180581 | − | 0.999837i | \(-0.505748\pi\) |
0.767452 | − | 0.641107i | \(-0.221524\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 14.1299 | + | 14.9711i | 0.714579 | + | 0.757123i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.0277215 | − | 0.0743242i | −0.00139836 | − | 0.00374916i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −20.1155 | − | 4.80275i | −1.01212 | − | 0.241653i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.1662 | + | 0.798620i | −0.560414 | + | 0.0400816i | −0.348673 | − | 0.937244i | \(-0.613368\pi\) |
−0.211741 | + | 0.977326i | \(0.567913\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 21.0695 | + | 71.7561i | 1.05479 | + | 3.59230i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.59697 | − | 0.373389i | 0.129687 | − | 0.0186461i | −0.0771658 | − | 0.997018i | \(-0.524587\pi\) |
0.206852 | + | 0.978372i | \(0.433678\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 34.6671 | + | 12.9302i | 1.72689 | + | 0.644097i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −53.8897 | + | 2.76311i | −2.67780 | + | 0.137300i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 11.2299 | − | 8.40663i | 0.556648 | − | 0.416701i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 20.8619 | + | 32.4618i | 1.03156 | + | 1.60513i | 0.767957 | + | 0.640502i | \(0.221274\pi\) |
0.263600 | + | 0.964632i | \(0.415090\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.648106 | + | 2.20725i | −0.0319687 | + | 0.108875i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 24.5804 | + | 24.5804i | 1.20952 | + | 1.20952i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 10.1268 | + | 1.66514i | 0.497104 | + | 0.0817385i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −10.7129 | − | 19.6192i | −0.524612 | − | 0.960755i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.57092 | − | 1.65223i | 0.125598 | − | 0.0807167i | −0.476334 | − | 0.879265i | \(-0.658035\pi\) |
0.601931 | + | 0.798548i | \(0.294398\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.89707 | − | 0.560315i | −0.189932 | − | 0.0273081i | 0.0466924 | − | 0.998909i | \(-0.485132\pi\) |
−0.236624 | + | 0.971601i | \(0.576041\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 19.5441 | − | 4.25157i | 0.950268 | − | 0.206718i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 13.5445 | − | 16.6489i | 0.657005 | − | 0.807591i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 34.3608 | − | 45.9006i | 1.66283 | − | 2.22129i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −35.1427 | + | 10.3188i | −1.69671 | + | 0.498198i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.14882 | + | 0.995462i | 0.0553369 | + | 0.0479497i | 0.682090 | − | 0.731268i | \(-0.261071\pi\) |
−0.626753 | + | 0.779218i | \(0.715617\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.13985 | + | 15.9372i | −0.0547777 | + | 0.765893i | 0.893623 | + | 0.448818i | \(0.148155\pi\) |
−0.948401 | + | 0.317074i | \(0.897300\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −21.3329 | + | 31.7670i | −1.02283 | + | 1.52311i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 26.1672 | + | 4.53758i | 1.25175 | + | 0.217062i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.7224 | − | 6.26682i | −0.654935 | − | 0.299099i | 0.0600948 | − | 0.998193i | \(-0.480860\pi\) |
−0.715030 | + | 0.699094i | \(0.753587\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 50.9982 | + | 58.8550i | 2.42848 | + | 2.80262i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 0.705750 | + | 9.86767i | 0.0335312 | + | 0.468827i | 0.986281 | + | 0.165073i | \(0.0527858\pi\) |
−0.952750 | + | 0.303755i | \(0.901760\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.43435 | + | 9.52447i | −0.352422 | + | 0.451503i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 21.6734 | + | 16.2245i | 1.02512 | + | 0.767393i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.7693 | + | 8.57166i | −0.885779 | + | 0.404522i | −0.805740 | − | 0.592270i | \(-0.798232\pi\) |
−0.0800395 | + | 0.996792i | \(0.525505\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.95803 | + | 6.15881i | −0.186376 | + | 0.290007i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 8.03105 | + | 10.7282i | 0.377332 | + | 0.504056i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 42.8033 | + | 16.9559i | 2.00665 | + | 0.794906i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.71660 | + | 4.75963i | −0.407745 | + | 0.222646i | −0.670013 | − | 0.742349i | \(-0.733712\pi\) |
0.262268 | + | 0.964995i | \(0.415530\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −61.7197 | −2.88083 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −14.3758 | −0.669549 | −0.334775 | − | 0.942298i | \(-0.608660\pi\) | ||||
−0.334775 | + | 0.942298i | \(0.608660\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 32.8411 | − | 17.9326i | 1.52626 | − | 0.833399i | 0.526398 | − | 0.850238i | \(-0.323542\pi\) |
0.999858 | + | 0.0168394i | \(0.00536041\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −21.5429 | − | 49.8072i | −0.999027 | − | 2.30975i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 17.3214 | + | 23.1387i | 0.801538 | + | 1.07073i | 0.995959 | + | 0.0898110i | \(0.0286263\pi\) |
−0.194421 | + | 0.980918i | \(0.562283\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.57143 | − | 8.66932i | 0.257265 | − | 0.400312i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −21.3173 | + | 9.73530i | −0.982250 | + | 0.448579i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.94637 | + | 1.45703i | 0.0894940 | + | 0.0669944i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.11672 | − | 27.6658i | 0.0512385 | − | 1.26939i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.47583 | + | 34.6166i | 0.113360 | + | 1.58499i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −22.9239 | − | 26.4556i | −1.04742 | − | 1.20879i | −0.977434 | − | 0.211241i | \(-0.932250\pi\) |
−0.0699870 | − | 0.997548i | \(-0.522296\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 27.3490 | + | 12.4899i | 1.24701 | + | 0.569490i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 62.6448 | − | 16.4437i | 2.85044 | − | 0.748213i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 21.8497 | + | 14.6730i | 0.992142 | + | 0.666264i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.42589 | + | 33.9184i | −0.109928 | + | 1.53699i | 0.580903 | + | 0.813973i | \(0.302700\pi\) |
−0.690830 | + | 0.723017i | \(0.742755\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −31.4000 | − | 27.2082i | −1.41996 | − | 1.23040i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.209759 | − | 0.0615907i | 0.00946627 | − | 0.00277955i | −0.276996 | − | 0.960871i | \(-0.589339\pi\) |
0.286462 | + | 0.958092i | \(0.407521\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −13.6187 | + | 18.1925i | −0.613357 | + | 0.819350i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 33.2332 | + | 19.0267i | 1.49372 | + | 0.855187i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −6.56278 | + | 1.42765i | −0.294381 | + | 0.0640387i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −34.2383 | − | 4.92272i | −1.53271 | − | 0.220371i | −0.676287 | − | 0.736638i | \(-0.736412\pi\) |
−0.856428 | + | 0.516267i | \(0.827321\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −42.9483 | + | 27.6012i | −1.91879 | + | 1.23313i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −3.00930 | − | 5.51113i | −0.134178 | − | 0.245729i | 0.801948 | − | 0.597394i | \(-0.203797\pi\) |
−0.936126 | + | 0.351665i | \(0.885616\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.0807 | − | 7.95132i | 0.493087 | − | 0.353829i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −25.7954 | − | 25.7954i | −1.14562 | − | 1.14562i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −11.0233 | + | 37.5420i | −0.488600 | + | 1.66402i | 0.233597 | + | 0.972333i | \(0.424950\pi\) |
−0.722198 | + | 0.691687i | \(0.756868\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −15.9722 | − | 24.8532i | −0.706567 | − | 1.09944i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −63.7417 | + | 47.7164i | −2.81426 | + | 2.10673i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −25.6615 | − | 23.1584i | −1.13078 | − | 1.02048i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.78512 | − | 2.15774i | −0.254429 | − | 0.0948972i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 14.4021 | − | 2.07072i | 0.632184 | − | 0.0908943i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.72139 | + | 19.4853i | 0.250659 | + | 0.853666i | 0.984655 | + | 0.174512i | \(0.0558348\pi\) |
−0.733996 | + | 0.679154i | \(0.762347\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.38571 | + | 0.313672i | −0.191774 | + | 0.0137159i | −0.166896 | − | 0.985975i | \(-0.553374\pi\) |
−0.0248781 | + | 0.999690i | \(0.507920\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −25.5505 | − | 62.5036i | −1.11512 | − | 2.72788i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −11.2626 | − | 30.1961i | −0.490606 | − | 1.31536i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.58291 | − | 22.5388i | 0.199257 | − | 0.979947i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −25.7439 | + | 56.3713i | −1.11719 | + | 2.44631i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −15.6511 | − | 1.11939i | −0.677924 | − | 0.0484861i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 8.14622 | + | 9.79360i | 0.352192 | + | 0.423414i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 26.7546 | + | 14.6091i | 1.15455 | + | 0.630430i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.42133 | − | 23.7959i | −0.147367 | − | 1.02496i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.5234 | − | 23.0431i | −0.452437 | − | 0.990699i | −0.989147 | − | 0.146932i | \(-0.953060\pi\) |
0.536710 | − | 0.843767i | \(-0.319667\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −14.0666 | − | 64.6630i | −0.603655 | − | 2.77496i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −14.1784 | − | 27.2590i | −0.607338 | − | 1.16765i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.8955 | − | 4.11046i | −0.807912 | − | 0.175751i | −0.210405 | − | 0.977614i | \(-0.567478\pi\) |
−0.597507 | + | 0.801864i | \(0.703842\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 98.0763 | + | 28.7978i | 4.18579 | + | 1.22906i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 29.3174i | 1.24896i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −27.3236 | + | 27.3236i | −1.16192 | + | 1.16192i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −14.5737 | − | 41.6188i | −0.618621 | − | 1.76662i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.03844 | − | 9.37056i | 0.0863715 | − | 0.397043i | −0.913582 | − | 0.406654i | \(-0.866695\pi\) |
0.999954 | + | 0.00961040i | \(0.00305913\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.741606 | + | 5.15798i | −0.0313666 | + | 0.218159i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 26.8383 | + | 17.2479i | 1.13311 | + | 0.728207i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 7.68958 | − | 20.6166i | 0.324077 | − | 0.868884i | −0.668103 | − | 0.744069i | \(-0.732893\pi\) |
0.992180 | − | 0.124815i | \(-0.0398339\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.684811 | + | 33.9451i | −0.0288102 | + | 1.42808i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −48.3193 | + | 88.4901i | −2.02922 | + | 3.71624i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 25.7436 | − | 29.7097i | 1.07923 | − | 1.24549i | 0.111428 | − | 0.993773i | \(-0.464458\pi\) |
0.967799 | − | 0.251722i | \(-0.0809970\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.2793 | − | 12.3731i | 0.597570 | − | 0.517798i | −0.302725 | − | 0.953078i | \(-0.597896\pi\) |
0.900295 | + | 0.435280i | \(0.143351\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −13.9543 | + | 5.20469i | −0.582950 | + | 0.217429i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −23.9217 | − | 1.65905i | −0.997604 | − | 0.0691872i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.07540 | − | 0.774082i | 0.0863998 | − | 0.0322255i | −0.305893 | − | 0.952066i | \(-0.598955\pi\) |
0.392292 | + | 0.919841i | \(0.371682\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −7.07706 | + | 6.13231i | −0.294113 | + | 0.254850i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 12.5573 | − | 14.4919i | 0.520964 | − | 0.601225i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.13444 | − | 9.40303i | 0.212647 | − | 0.389434i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.65547 | + | 82.0595i | −0.0684454 | + | 3.39274i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −0.0480875 | + | 0.128928i | −0.00198478 | + | 0.00532141i | −0.937938 | − | 0.346802i | \(-0.887268\pi\) |
0.935954 | + | 0.352123i | \(0.114540\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −34.9766 | − | 22.4781i | −1.44119 | − | 0.926195i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.71767 | − | 46.7224i | 0.276328 | − | 1.92190i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 8.32032 | − | 38.2479i | 0.341675 | − | 1.57065i | −0.410607 | − | 0.911812i | \(-0.634683\pi\) |
0.752282 | − | 0.658841i | \(-0.228953\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −13.2534 | − | 37.8484i | −0.543338 | − | 1.55163i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 6.25934 | − | 6.25934i | 0.256178 | − | 0.256178i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 39.1031i | 1.59771i | 0.601524 | + | 0.798855i | \(0.294561\pi\) | ||||
−0.601524 | + | 0.798855i | \(0.705439\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −25.6764 | − | 7.53926i | −1.04736 | − | 0.307533i | −0.287610 | − | 0.957748i | \(-0.592861\pi\) |
−0.759751 | + | 0.650215i | \(0.774679\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 17.9517 | + | 3.90515i | 0.731049 | + | 0.159030i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 5.89510 | + | 11.3337i | 0.239670 | + | 0.460782i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 8.30081 | + | 38.1582i | 0.336919 | + | 1.54879i | 0.764384 | + | 0.644761i | \(0.223043\pi\) |
−0.427464 | + | 0.904032i | \(0.640593\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 29.7009 | + | 65.0360i | 1.20354 | + | 2.63539i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.88334 | − | 13.0989i | −0.0761917 | − | 0.529925i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −18.8292 | − | 10.2815i | −0.760503 | − | 0.415266i | 0.0516836 | − | 0.998664i | \(-0.483541\pi\) |
−0.812187 | + | 0.583397i | \(0.801723\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 14.7168 | + | 17.6929i | 0.593437 | + | 0.713446i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −4.53845 | − | 0.324597i | −0.182711 | − | 0.0130678i | −0.0203163 | − | 0.999794i | \(-0.506467\pi\) |
−0.162395 | + | 0.986726i | \(0.551922\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.0698 | + | 22.0498i | −0.404740 | + | 0.886256i | 0.592028 | + | 0.805917i | \(0.298328\pi\) |
−0.996768 | + | 0.0803389i | \(0.974400\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 39.7119 | + | 56.3738i | 1.59358 | + | 2.26220i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 7.88932 | + | 21.1521i | 0.316079 | + | 0.847441i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.55186 | + | 24.9518i | 0.0620745 | + | 0.998072i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 41.0521 | − | 2.93611i | 1.63946 | − | 0.117257i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −7.37815 | − | 25.1277i | −0.294186 | − | 1.00191i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 22.1266 | − | 3.18133i | 0.880847 | − | 0.126647i | 0.312973 | − | 0.949762i | \(-0.398675\pi\) |
0.567874 | + | 0.823115i | \(0.307766\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −33.9632 | − | 12.6676i | −1.34992 | − | 0.503493i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 25.1441 | + | 22.6914i | 0.997815 | + | 0.900482i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 41.2488 | − | 30.8784i | 1.63434 | − | 1.22345i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −6.47328 | − | 10.0726i | −0.256079 | − | 0.398467i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −8.14988 | + | 27.7559i | −0.321901 | + | 1.09629i | 0.626553 | + | 0.779379i | \(0.284465\pi\) |
−0.948454 | + | 0.316915i | \(0.897353\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 18.1303 | + | 18.1303i | 0.714991 | + | 0.714991i | 0.967575 | − | 0.252584i | \(-0.0812804\pi\) |
−0.252584 | + | 0.967575i | \(0.581280\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 6.20952 | − | 4.45583i | 0.244500 | − | 0.175448i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −5.40002 | − | 9.88940i | −0.212297 | − | 0.388792i | 0.749732 | − | 0.661742i | \(-0.230183\pi\) |
−0.962028 | + | 0.272950i | \(0.912001\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 16.0938 | − | 10.3429i | 0.631737 | − | 0.405993i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −100.362 | − | 14.4299i | −3.93351 | − | 0.565554i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −36.1320 | + | 7.86005i | −1.41396 | + | 0.307587i | −0.853714 | − | 0.520742i | \(-0.825655\pi\) |
−0.560242 | + | 0.828329i | \(0.689292\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.0476227 | + | 0.0272650i | 0.00186077 | + | 0.00106533i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 31.5624 | − | 42.1625i | 1.23137 | − | 1.64492i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −34.0520 | + | 9.99856i | −1.32648 | + | 0.389489i | −0.866826 | − | 0.498611i | \(-0.833844\pi\) |
−0.459651 | + | 0.888100i | \(0.652025\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.19716 | + | 1.90385i | 0.0854598 | + | 0.0740513i | 0.696543 | − | 0.717515i | \(-0.254721\pi\) |
−0.611083 | + | 0.791566i | \(0.709266\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −4.87796 | + | 68.2028i | −0.189444 | + | 2.64878i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −42.9488 | − | 28.8419i | −1.66548 | − | 1.11844i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 25.3794 | + | 0.733665i | 0.982693 | + | 0.0284076i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −42.4854 | − | 19.4024i | −1.64258 | − | 0.750141i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −20.6638 | − | 23.8473i | −0.797718 | − | 0.920615i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.23239 | − | 17.2311i | −0.0475052 | − | 0.664210i | −0.964293 | − | 0.264836i | \(-0.914682\pi\) |
0.916788 | − | 0.399374i | \(-0.130772\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 52.8445 | − | 48.7440i | 2.03399 | − | 1.87616i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −29.9572 | − | 22.4257i | −1.15135 | − | 0.861890i | −0.159238 | − | 0.987240i | \(-0.550904\pi\) |
−0.992113 | + | 0.125350i | \(0.959994\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 44.7324 | − | 20.4286i | 1.71667 | − | 0.783978i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 9.80972 | − | 15.2642i | 0.375909 | − | 0.584926i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −18.8420 | − | 25.1699i | −0.720968 | − | 0.963100i | −0.999996 | − | 0.00281712i | \(-0.999103\pi\) |
0.279028 | − | 0.960283i | \(-0.409988\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.631748 | − | 1.46060i | −0.0241379 | − | 0.0558068i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −53.9955 | + | 29.4838i | −2.06006 | + | 1.12488i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 22.9623 | 0.874792 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 28.8391 | 1.09709 | 0.548546 | − | 0.836120i | \(-0.315182\pi\) | ||||
0.548546 | + | 0.836120i | \(0.315182\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 62.7991 | − | 34.2909i | 2.38554 | − | 1.30260i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 14.3766 | + | 5.69507i | 0.545334 | + | 0.216026i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.19058 | + | 10.9413i | 0.310240 | + | 0.414432i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 25.2557 | − | 39.2986i | 0.955257 | − | 1.48641i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 8.28667 | − | 3.78439i | 0.312983 | − | 0.142935i | −0.252730 | − | 0.967537i | \(-0.581328\pi\) |
0.565713 | + | 0.824602i | \(0.308601\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −27.0464 | − | 20.2467i | −1.02008 | − | 0.763619i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −11.9426 | + | 15.3001i | −0.449783 | + | 0.576236i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.81792 | − | 25.4179i | −0.0683699 | − | 0.955937i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.7992 | + | 17.0792i | 0.555795 | + | 0.641422i | 0.962223 | − | 0.272261i | \(-0.0877714\pi\) |
−0.406428 | + | 0.913683i | \(0.633226\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −62.6623 | − | 28.6169i | −2.35002 | − | 1.07322i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −20.3341 | + | 29.7159i | −0.761517 | + | 1.11287i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 14.1254 | − | 21.0343i | 0.528260 | − | 0.786637i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.96727 | + | 41.4879i | −0.110815 | + | 1.54939i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 31.2180 | + | 27.0506i | 1.16424 | + | 1.00882i | 0.999748 | + | 0.0224362i | \(0.00714225\pi\) |
0.164487 | + | 0.986379i | \(0.447403\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −61.9693 | + | 18.1958i | −2.30786 | + | 0.677648i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 6.21514 | − | 8.30246i | 0.231144 | − | 0.308772i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.70738 | − | 26.3320i | −0.100550 | − | 0.977948i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.78260 | − | 1.91054i | 0.325728 | − | 0.0708579i | −0.0467277 | − | 0.998908i | \(-0.514879\pi\) |
0.372456 | + | 0.928050i | \(0.378516\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −39.9004 | − | 5.73681i | −1.47779 | − | 0.212474i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.81842 | − | 2.45395i | 0.141229 | − | 0.0907627i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −13.5982 | − | 24.9032i | −0.502260 | − | 0.919820i | −0.998661 | − | 0.0517271i | \(-0.983527\pi\) |
0.496401 | − | 0.868093i | \(-0.334654\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −74.5701 | − | 12.2615i | −2.75056 | − | 0.452272i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.01024 | − | 4.01024i | −0.147719 | − | 0.147719i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −14.1334 | + | 48.1338i | −0.519904 | + | 1.77063i | 0.109972 | + | 0.993935i | \(0.464924\pi\) |
−0.629876 | + | 0.776696i | \(0.716894\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 47.6908 | + | 74.2084i | 1.75197 | + | 2.72611i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 11.1238 | − | 8.32714i | 0.408091 | − | 0.305493i | −0.375439 | − | 0.926847i | \(-0.622508\pi\) |
0.783530 | + | 0.621354i | \(0.213417\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −18.7041 | + | 0.959021i | −0.685264 | + | 0.0351358i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 32.0296 | + | 11.9464i | 1.17190 | + | 0.437096i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 23.5595 | − | 3.38735i | 0.860845 | − | 0.123771i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.66147 | + | 22.6869i | 0.243080 | + | 0.827856i | 0.987156 | + | 0.159760i | \(0.0510721\pi\) |
−0.744076 | + | 0.668096i | \(0.767110\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −9.14859 | + | 0.654320i | −0.333393 | + | 0.0238447i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −9.01714 | − | 2.15292i | −0.328167 | − | 0.0783527i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.42978 | + | 3.83338i | 0.0519661 | + | 0.139327i | 0.960339 | − | 0.278834i | \(-0.0899478\pi\) |
−0.908373 | + | 0.418160i | \(0.862675\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.51439 | − | 35.6113i | −0.0549689 | − | 1.29261i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −15.7521 | + | 34.4922i | −0.571012 | + | 1.25034i | 0.375244 | + | 0.926926i | \(0.377559\pi\) |
−0.946257 | + | 0.323417i | \(0.895168\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −57.2638 | − | 4.09559i | −2.07309 | − | 0.148270i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 54.9626 | − | 45.7173i | 1.98718 | − | 1.65291i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 35.9873 | + | 19.6506i | 1.29943 | + | 0.709541i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.722968 | − | 5.02835i | −0.0260709 | − | 0.181327i | 0.972625 | − | 0.232380i | \(-0.0746513\pi\) |
−0.998696 | + | 0.0510530i | \(0.983742\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 14.0781 | + | 30.8267i | 0.507009 | + | 1.11020i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.32974 | − | 10.7096i | −0.0837950 | − | 0.385199i | 0.916080 | − | 0.400995i | \(-0.131336\pi\) |
−0.999875 | + | 0.0157957i | \(0.994972\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 33.4908 | + | 16.9592i | 1.20303 | + | 0.609193i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −80.5099 | − | 17.5138i | −2.88828 | − | 0.628306i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 16.9178 | + | 4.96752i | 0.606144 | + | 0.177980i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.69620i | 0.132260i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −53.8265 | + | 53.8265i | −1.92360 | + | 1.92360i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7.03067 | − | 14.6079i | 0.250936 | − | 0.521378i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 5.38497 | − | 24.7543i | 0.191953 | − | 0.882396i | −0.775895 | − | 0.630862i | \(-0.782701\pi\) |
0.967848 | − | 0.251534i | \(-0.0809350\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.22925 | − | 22.4600i | 0.114964 | − | 0.799596i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 53.3673 | + | 34.2971i | 1.89752 | + | 1.21946i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 23.6345 | − | 63.3665i | 0.839286 | − | 2.25021i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −23.3287 | − | 24.2893i | −0.827383 | − | 0.861454i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 9.97904 | − | 18.2752i | 0.353476 | − | 0.647342i | −0.639079 | − | 0.769141i | \(-0.720684\pi\) |
0.992555 | + | 0.121799i | \(0.0388662\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −7.54851 | + | 8.71145i | −0.267047 | + | 0.308189i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −30.4160 | + | 26.3556i | −1.07470 | + | 0.931230i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −15.2334 | + | 5.68178i | −0.537577 | + | 0.200506i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −26.0425 | + | 36.4580i | −0.917879 | + | 1.28497i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 86.5680 | − | 32.2882i | 3.04734 | − | 1.13660i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 4.58736 | − | 3.97497i | 0.161283 | − | 0.139753i | −0.570480 | − | 0.821311i | \(-0.693243\pi\) |
0.731764 | + | 0.681559i | \(0.238698\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −33.2168 | + | 38.3343i | −1.16640 | + | 1.34610i | −0.239453 | + | 0.970908i | \(0.576968\pi\) |
−0.926948 | + | 0.375190i | \(0.877577\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 32.3354 | − | 59.2179i | 1.13405 | − | 2.07686i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 28.7360 | + | 0.579721i | 1.00658 | + | 0.0203067i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.04633 | − | 5.48642i | 0.0715920 | − | 0.191946i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 129.011 | + | 82.9104i | 4.50801 | + | 2.89712i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 1.76169 | − | 12.2528i | 0.0614835 | − | 0.427627i | −0.935711 | − | 0.352768i | \(-0.885240\pi\) |
0.997194 | − | 0.0748585i | \(-0.0238505\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.93089 | + | 13.4731i | −0.102164 | + | 0.469642i | 0.897430 | + | 0.441157i | \(0.145432\pi\) |
−0.999594 | + | 0.0284846i | \(0.990932\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −36.6007 | + | 6.42819i | −1.27427 | + | 0.223801i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 7.11232 | − | 7.11232i | 0.247320 | − | 0.247320i | −0.572550 | − | 0.819870i | \(-0.694046\pi\) |
0.819870 | + | 0.572550i | \(0.194046\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 42.7316i | − | 1.48413i | −0.670329 | − | 0.742064i | \(-0.733847\pi\) | ||
0.670329 | − | 0.742064i | \(-0.266153\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −13.8030 | − | 4.05292i | −0.478820 | − | 0.140594i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −43.8552 | − | 9.54012i | −1.51949 | − | 0.330545i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 10.6314 | − | 33.6787i | 0.367913 | − | 1.16550i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −22.9472 | − | 105.487i | −0.793171 | − | 3.64615i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 14.6209 | + | 32.0152i | 0.504769 | + | 1.10529i | 0.974890 | + | 0.222687i | \(0.0714828\pi\) |
−0.470121 | + | 0.882602i | \(0.655790\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.138294 | − | 0.961854i | −0.00476875 | − | 0.0331674i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 60.2782 | + | 32.9144i | 2.07609 | + | 1.13363i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 25.1303 | + | 2.30766i | 0.864508 | + | 0.0793860i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 23.8091 | + | 1.70286i | 0.818090 | + | 0.0585109i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 13.5375 | − | 29.6429i | 0.464605 | − | 1.01734i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −18.2039 | + | 22.9068i | −0.624023 | + | 0.785234i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.0537 | + | 45.7228i | 0.583909 | + | 1.56552i | 0.806893 | + | 0.590698i | \(0.201147\pi\) |
−0.222985 | + | 0.974822i | \(0.571580\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 21.4184 | − | 89.7074i | 0.732495 | − | 3.06793i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −25.6752 | + | 1.83633i | −0.877049 | + | 0.0627278i | −0.502600 | − | 0.864519i | \(-0.667623\pi\) |
−0.374450 | + | 0.927247i | \(0.622168\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −13.3715 | − | 45.5390i | −0.456228 | − | 1.55377i | −0.791209 | − | 0.611546i | \(-0.790548\pi\) |
0.334980 | − | 0.942225i | \(-0.391270\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 42.5620 | − | 6.11950i | 1.45051 | − | 0.208552i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −0.0886542 | − | 0.0330663i | −0.00301782 | − | 0.00112559i | 0.347955 | − | 0.937511i | \(-0.386876\pi\) |
−0.350973 | + | 0.936386i | \(0.614149\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.74356 | + | 7.47246i | −0.229288 | + | 0.254071i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 3.68898 | − | 2.76154i | 0.125284 | − | 0.0937867i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 11.4971 | + | 17.8898i | 0.390013 | + | 0.606871i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.42456 | − | 11.6630i | 0.116037 | − | 0.395185i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 61.9910 | + | 61.9910i | 2.09808 | + | 2.09808i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 41.2389 | + | 21.9388i | 1.39413 | + | 0.741666i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −13.2605 | − | 24.2848i | −0.447776 | − | 0.820041i | 0.552130 | − | 0.833758i | \(-0.313815\pi\) |
−0.999906 | + | 0.0137174i | \(0.995633\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −19.9275 | + | 12.8066i | −0.672136 | + | 0.431956i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 17.6335 | + | 2.53531i | 0.594088 | + | 0.0854169i | 0.432799 | − | 0.901490i | \(-0.357526\pi\) |
0.161288 | + | 0.986907i | \(0.448435\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 22.3469 | − | 4.86128i | 0.752034 | − | 0.163595i | 0.179820 | − | 0.983699i | \(-0.442448\pi\) |
0.572214 | + | 0.820104i | \(0.306085\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −15.7754 | − | 58.0313i | −0.530283 | − | 1.95070i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −30.0775 | + | 40.1788i | −1.00990 | + | 1.34907i | −0.0738299 | + | 0.997271i | \(0.523522\pi\) |
−0.936074 | + | 0.351803i | \(0.885569\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 60.7199 | − | 17.8290i | 2.03648 | − | 0.597964i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 41.9338 | + | 36.3358i | 1.40483 | + | 1.21730i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −1.06086 | + | 14.8327i | −0.0355002 | + | 0.496357i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −20.6918 | + | 4.06595i | −0.691651 | + | 0.135910i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 65.4339 | − | 39.4278i | 2.18477 | − | 1.31645i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −36.1566 | − | 16.5122i | −1.20589 | − | 0.550712i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −13.0978 | − | 15.1156i | −0.436350 | − | 0.503575i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1.01874 | − | 14.2439i | −0.0339016 | − | 0.474006i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 36.0866 | + | 28.1675i | 1.19956 | + | 0.936318i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −12.4912 | − | 9.35076i | −0.414762 | − | 0.310487i | 0.371439 | − | 0.928457i | \(-0.378864\pi\) |
−0.786202 | + | 0.617970i | \(0.787955\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 41.3238 | − | 18.8719i | 1.37062 | − | 0.625943i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −11.0404 | + | 17.1791i | −0.365783 | + | 0.569170i | −0.974547 | − | 0.224181i | \(-0.928029\pi\) |
0.608764 | + | 0.793351i | \(0.291666\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −6.32415 | − | 8.44807i | −0.209299 | − | 0.279590i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −91.0404 | + | 39.3773i | −3.00970 | + | 1.30177i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.0899903 | − | 0.0491384i | 0.00297174 | − | 0.00162269i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 22.4132 | 0.739343 | 0.369671 | − | 0.929163i | \(-0.379470\pi\) | ||||
0.369671 | + | 0.929163i | \(0.379470\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 79.2155 | 2.61024 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −6.95301 | + | 3.79663i | −0.228861 | + | 0.124968i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 26.1621 | + | 15.6874i | 0.860204 | + | 0.515797i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −69.0002 | − | 92.1734i | −2.26626 | − | 3.02737i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −11.0398 | + | 17.1783i | −0.362204 | + | 0.563600i | −0.973753 | − | 0.227606i | \(-0.926910\pi\) |
0.611549 | + | 0.791206i | \(0.290547\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −52.6675 | + | 24.0525i | −1.72611 | + | 0.788287i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 24.0911 | + | 18.0344i | 0.788708 | + | 0.590419i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −21.9037 | + | 2.69956i | −0.716327 | + | 0.0882849i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1.15364 | + | 16.1300i | 0.0376879 | + | 0.526946i | 0.980869 | + | 0.194667i | \(0.0623627\pi\) |
−0.943181 | + | 0.332278i | \(0.892183\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 28.6428 | + | 33.0555i | 0.934721 | + | 1.07873i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −51.1471 | − | 23.3581i | −1.66735 | − | 0.761452i | −0.999858 | − | 0.0168314i | \(-0.994642\pi\) |
−0.667488 | − | 0.744620i | \(-0.732631\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.72363 | − | 14.5210i | 0.153823 | − | 0.472870i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −25.9002 | − | 131.807i | −0.842532 | − | 4.28769i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −0.961725 | + | 13.4467i | −0.0312519 | + | 0.436958i | 0.957605 | + | 0.288086i | \(0.0930189\pi\) |
−0.988856 | + | 0.148872i | \(0.952436\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −26.3355 | − | 22.8199i | −0.854888 | − | 0.740764i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 41.9387 | − | 12.3143i | 1.35996 | − | 0.399319i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 30.8133 | − | 41.1618i | 0.998142 | − | 1.33336i | 0.0558973 | − | 0.998437i | \(-0.482198\pi\) |
0.942245 | − | 0.334925i | \(-0.108711\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.11899 | − | 8.94112i | 0.165647 | − | 0.289328i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 38.4481 | − | 8.36387i | 1.24285 | − | 0.270365i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.94314 | − | 0.423160i | −0.0950391 | − | 0.0136646i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 21.3427 | − | 13.7161i | 0.688473 | − | 0.442455i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 20.3356 | + | 37.2419i | 0.655307 | + | 1.20011i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.05105 | − | 6.39212i | 0.0338345 | − | 0.205770i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −28.5701 | − | 28.5701i | −0.918753 | − | 0.918753i | 0.0781856 | − | 0.996939i | \(-0.475087\pi\) |
−0.996939 | + | 0.0781856i | \(0.975087\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 21.6470 | − | 73.7228i | 0.695401 | − | 2.36832i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 15.9668 | + | 24.8448i | 0.512399 | + | 0.797308i | 0.996998 | − | 0.0774281i | \(-0.0246708\pi\) |
−0.484599 | + | 0.874736i | \(0.661034\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 23.1299 | − | 17.3148i | 0.741511 | − | 0.555088i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −49.6875 | − | 62.2478i | −1.59127 | − | 1.99352i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 56.3025 | + | 20.9997i | 1.80128 | + | 0.671841i | 0.996984 | + | 0.0776081i | \(0.0247283\pi\) |
0.804293 | + | 0.594233i | \(0.202544\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 12.2976 | − | 1.76813i | 0.393033 | − | 0.0565097i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −28.8345 | − | 98.2013i | −0.920615 | − | 3.13533i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −8.62160 | + | 0.616629i | −0.274986 | + | 0.0196674i | −0.208151 | − | 0.978097i | \(-0.566745\pi\) |
−0.0668350 | + | 0.997764i | \(0.521290\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 17.0962 | + | 27.8205i | 0.544731 | + | 0.886434i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 12.6734 | + | 33.9788i | 0.403400 | + | 1.08156i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.69826 | − | 1.90876i | −0.149396 | − | 0.0606950i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −18.4846 | + | 40.4757i | −0.587184 | + | 1.28575i | 0.349945 | + | 0.936770i | \(0.386200\pi\) |
−0.937129 | + | 0.348983i | \(0.886527\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 90.3716 | + | 6.46350i | 2.86785 | + | 0.205113i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −0.559961 | + | 6.09794i | −0.0177520 | + | 0.193318i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 40.7718 | + | 22.2631i | 1.29126 | + | 0.705080i | 0.970275 | − | 0.242006i | \(-0.0778053\pi\) |
0.320982 | + | 0.947085i | \(0.395987\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −12.4843 | − | 86.8299i | −0.394984 | − | 2.74718i |
(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 | 920.2.bv.a.17.2 | ✓ | 720 | |
5.3 | odd | 4 | inner | 920.2.bv.a.753.2 | yes | 720 | |
23.19 | odd | 22 | inner | 920.2.bv.a.617.2 | yes | 720 | |
115.88 | even | 44 | inner | 920.2.bv.a.433.2 | yes | 720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.bv.a.17.2 | ✓ | 720 | 1.1 | even | 1 | trivial | |
920.2.bv.a.433.2 | yes | 720 | 115.88 | even | 44 | inner | |
920.2.bv.a.617.2 | yes | 720 | 23.19 | odd | 22 | inner | |
920.2.bv.a.753.2 | yes | 720 | 5.3 | odd | 4 | inner |