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 | 433.2 | ||
Character | \(\chi\) | \(=\) | 920.433 |
Dual form | 920.2.bv.a.17.2 |
$q$-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 \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{15}{22}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 | −0.991306 | − | 0.131579i | \(-0.957995\pi\) |
−0.646631 | − | 0.762803i | \(-0.723823\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.823524 | + | 2.07890i | 0.368291 | + | 0.929710i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.50378 | + | 3.34466i | −0.946339 | + | 1.26416i | 0.0180943 | + | 0.999836i | \(0.494240\pi\) |
−0.964434 | + | 0.264325i | \(0.914851\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 4.02684 | + | 6.26588i | 1.34228 | + | 2.08863i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.09151 | − | 0.955162i | −0.630615 | − | 0.287992i | 0.0743525 | − | 0.997232i | \(-0.476311\pi\) |
−0.704967 | + | 0.709240i | \(0.749038\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.94512 | + | 2.95328i | −1.09418 | + | 0.819093i | −0.984589 | − | 0.174883i | \(-0.944045\pi\) |
−0.109591 | + | 0.993977i | \(0.534954\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.884116 | − | 7.17354i | 0.228278 | − | 1.85220i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.306224 | − | 4.28157i | 0.0742702 | − | 1.03843i | −0.814525 | − | 0.580128i | \(-0.803002\pi\) |
0.888795 | − | 0.458305i | \(-0.151543\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.62640 | − | 4.18509i | 0.831953 | − | 0.960125i | −0.167716 | − | 0.985835i | \(-0.553639\pi\) |
0.999669 | + | 0.0257099i | \(0.00818461\pi\) | |||||||
\(20\) | 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 | −0.198795 | − | 0.980041i | \(-0.563703\pi\) |
0.941774 | + | 0.336246i | \(0.109157\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.20387 | − | 2.11525i | −1.29385 | − | 0.379910i | −0.438864 | − | 0.898554i | \(-0.644619\pi\) |
−0.854990 | + | 0.518644i | \(0.826437\pi\) | |||||||
\(32\) | 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 | −0.306133 | − | 0.951989i | \(-0.599035\pi\) |
−0.673939 | + | 0.738787i | \(0.735399\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 15.7673 | − | 2.26699i | 2.52478 | − | 0.363009i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.67857 | + | 1.72141i | 0.418322 | + | 0.268839i | 0.732825 | − | 0.680417i | \(-0.238201\pi\) |
−0.314503 | + | 0.949256i | \(0.601838\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.506766 | + | 0.928072i | −0.0772811 | + | 0.141530i | −0.913462 | − | 0.406924i | \(-0.866601\pi\) |
0.836181 | + | 0.548454i | \(0.184783\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −9.70992 | + | 13.5315i | −1.44747 | + | 2.01715i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.89883 | − | 1.89883i | 0.276973 | − | 0.276973i | −0.554926 | − | 0.831899i | \(-0.687254\pi\) |
0.831899 | + | 0.554926i | \(0.187254\pi\) | |||||||
\(48\) | 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 | 0.311579 | − | 0.950220i | \(-0.399142\pi\) |
−0.823948 | + | 0.566665i | \(0.808233\pi\) | |||||||
\(54\) | 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 | −0.416455 | − | 0.909156i | \(-0.636728\pi\) |
−0.655725 | + | 0.755000i | \(0.727637\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.86637 | − | 13.1677i | 0.495038 | − | 1.68595i | −0.210764 | − | 0.977537i | \(-0.567595\pi\) |
0.705802 | − | 0.708409i | \(-0.250587\pi\) | |||||||
\(62\) | 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 | −0.873601 | − | 0.486644i | \(-0.838221\pi\) |
0.978907 | + | 0.204306i | \(0.0654937\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.83481 | − | 14.3619i | −0.702429 | − | 1.72897i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.667794 | + | 1.46227i | 0.0792526 | + | 0.173539i | 0.945110 | − | 0.326751i | \(-0.105954\pi\) |
−0.865858 | + | 0.500290i | \(0.833227\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.05309 | − | 0.504447i | 0.825502 | − | 0.0590410i | 0.347806 | − | 0.937566i | \(-0.386927\pi\) |
0.477696 | + | 0.878525i | \(0.341472\pi\) | |||||||
\(74\) | 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 | 0.771256 | + | 0.636525i | \(0.219629\pi\) |
−0.919344 | + | 0.393454i | \(0.871280\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −10.0247 | + | 21.9511i | −1.11386 | + | 2.43902i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.975600 | − | 4.48476i | 0.107086 | − | 0.492266i | −0.892097 | − | 0.451844i | \(-0.850766\pi\) |
0.999183 | − | 0.0404218i | \(-0.0128702\pi\) | |||||||
\(84\) | 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 | −0.544713 | − | 0.838623i | \(-0.683361\pi\) |
−0.00484811 | + | 0.999988i | \(0.501543\pi\) | |||||||
\(90\) | 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 | −0.910527 | − | 0.413450i | \(-0.864324\pi\) |
0.656491 | − | 0.754334i | \(-0.272040\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.43725 | − | 16.9514i | −0.244953 | − | 1.70368i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.13105 | − | 3.29752i | 0.510558 | − | 0.328116i | −0.259869 | − | 0.965644i | \(-0.583679\pi\) |
0.770427 | + | 0.637528i | \(0.220043\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.40218 | + | 14.4838i | 0.532293 | + | 1.42713i | 0.873351 | + | 0.487091i | \(0.161942\pi\) |
−0.341058 | + | 0.940042i | \(0.610785\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 21.7794 | + | 20.9180i | 2.12545 | + | 2.04139i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −2.73025 | − | 5.00008i | −0.263943 | − | 0.483376i | 0.711774 | − | 0.702408i | \(-0.247892\pi\) |
−0.975718 | + | 0.219032i | \(0.929710\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.99848 | + | 10.3848i | 0.861898 | + | 0.994683i | 0.999991 | + | 0.00426394i | \(0.00135726\pi\) |
−0.138093 | + | 0.990419i | \(0.544097\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 14.9039 | + | 12.9143i | 1.41461 | + | 1.22577i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −14.2265 | − | 5.30620i | −1.33831 | − | 0.499165i | −0.424548 | − | 0.905406i | \(-0.639567\pi\) |
−0.913766 | + | 0.406240i | \(0.866840\pi\) | |||||||
\(114\) | 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 | −0.928684 | − | 0.370873i | \(-0.879059\pi\) |
0.458982 | − | 0.888446i | \(-0.348214\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.87538 | − | 1.84789i | 0.253163 | − | 0.162698i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.00349255 | − | 0.0242912i | −0.000305145 | − | 0.00212233i | 0.989668 | − | 0.143376i | \(-0.0457958\pi\) |
−0.989973 | + | 0.141254i | \(0.954887\pi\) | |||||||
\(132\) | 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 | 0.728277 | − | 0.685283i | \(-0.240321\pi\) |
−0.685283 | + | 0.728277i | \(0.740321\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 6.91548i | − | 0.586564i | −0.956026 | − | 0.293282i | \(-0.905253\pi\) | ||
0.956026 | − | 0.293282i | \(-0.0947474\pi\) | |||||||
\(140\) | 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 | −0.996944 | − | 0.0781229i | \(-0.975107\pi\) |
0.711901 | + | 0.702280i | \(0.247835\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.590028 | + | 4.10373i | −0.0480158 | + | 0.333957i | 0.951628 | + | 0.307254i | \(0.0994100\pi\) |
−0.999643 | + | 0.0267033i | \(0.991499\pi\) | |||||||
\(152\) | 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 | 0.220286 | − | 0.975435i | \(-0.429301\pi\) |
0.356862 | + | 0.934157i | \(0.383847\pi\) | |||||||
\(158\) | 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 | −0.633663 | − | 0.773610i | \(-0.718449\pi\) |
0.985497 | − | 0.169694i | \(-0.0542781\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −8.70103 | + | 14.1591i | −0.677374 | + | 1.10228i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 15.7539 | + | 1.12674i | 1.21907 | + | 0.0871900i | 0.666007 | − | 0.745946i | \(-0.268002\pi\) |
0.553068 | + | 0.833136i | \(0.313457\pi\) | |||||||
\(168\) | 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 | −0.504639 | − | 0.863331i | \(-0.668374\pi\) |
0.183981 | + | 0.982930i | \(0.441101\pi\) | |||||||
\(174\) | 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 | −0.977817 | − | 0.209460i | \(-0.932829\pi\) |
0.596731 | + | 0.802441i | \(0.296466\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.76781 | − | 19.6434i | −0.428718 | − | 1.46008i | −0.836990 | − | 0.547219i | \(-0.815687\pi\) |
0.408272 | − | 0.912861i | \(-0.366132\pi\) | |||||||
\(182\) | 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 | 0.0246751 | − | 0.999696i | \(-0.492145\pi\) |
0.305322 | + | 0.952249i | \(0.401236\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.83082 | + | 0.615808i | 0.203767 | + | 0.0443268i | 0.313290 | − | 0.949657i | \(-0.398569\pi\) |
−0.109523 | + | 0.993984i | \(0.534932\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 17.6975 | + | 30.9115i | 1.26735 | + | 2.21362i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −8.75134 | − | 11.6904i | −0.623507 | − | 0.832908i | 0.371937 | − | 0.928258i | \(-0.378694\pi\) |
−0.995444 | + | 0.0953500i | \(0.969603\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.62762 | − | 0.771540i | −0.186267 | − | 0.0546930i | 0.187269 | − | 0.982309i | \(-0.440037\pi\) |
−0.373536 | + | 0.927616i | \(0.621855\pi\) | |||||||
\(200\) | 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 | −0.444391 | − | 0.895833i | \(-0.646580\pi\) |
0.949958 | + | 0.312378i | \(0.101125\pi\) | |||||||
\(212\) | 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 | −0.410682 | − | 0.911779i | \(-0.634709\pi\) |
0.990548 | + | 0.137169i | \(0.0438003\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −36.1269 | − | 9.04240i | −2.40846 | − | 0.602826i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −4.92676 | − | 2.69021i | −0.327000 | − | 0.178556i | 0.307360 | − | 0.951593i | \(-0.400555\pi\) |
−0.634360 | + | 0.773038i | \(0.718736\pi\) | |||||||
\(228\) | 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 | 0.00666235 | − | 0.999978i | \(-0.497879\pi\) |
−0.837633 | + | 0.546234i | \(0.816061\pi\) | |||||||
\(234\) | 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 | 0.989940 | − | 0.141486i | \(-0.0451879\pi\) |
−0.539936 | + | 0.841706i | \(0.681552\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.91855 | − | 1.33286i | −0.188000 | − | 0.0858568i | 0.319191 | − | 0.947690i | \(-0.396589\pi\) |
−0.507191 | + | 0.861834i | \(0.669316\pi\) | |||||||
\(242\) | 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 | −0.332287 | − | 0.943178i | \(-0.607820\pi\) |
0.495205 | + | 0.868776i | \(0.335093\pi\) | |||||||
\(252\) | 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 | 0.965946 | + | 0.258745i | \(0.0833090\pi\) |
−0.919290 | + | 0.393580i | \(0.871236\pi\) | |||||||
\(258\) | 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 | 0.651864 | − | 0.758336i | \(-0.273987\pi\) |
−0.911270 | + | 0.411810i | \(0.864897\pi\) | |||||||
\(264\) | 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 | −0.932339 | − | 0.361584i | \(-0.882236\pi\) |
−0.792703 | + | 0.609608i | \(0.791327\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.5599 | − | 11.2851i | −1.06669 | − | 0.685518i | −0.115242 | − | 0.993337i | \(-0.536764\pi\) |
−0.951445 | + | 0.307819i | \(0.900401\pi\) | |||||||
\(272\) | 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 | −0.606216 | − | 0.795300i | \(-0.707313\pi\) |
0.795300 | + | 0.606216i | \(0.207313\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −15.7549 | − | 53.6564i | −0.943223 | − | 3.21232i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.4871 | + | 17.8743i | −0.685265 | + | 1.06629i | 0.308108 | + | 0.951351i | \(0.400304\pi\) |
−0.993372 | + | 0.114941i | \(0.963332\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.07081 | − | 6.04173i | −0.479760 | − | 0.359144i | 0.331861 | − | 0.943328i | \(-0.392324\pi\) |
−0.811621 | + | 0.584185i | \(0.801414\pi\) | |||||||
\(284\) | 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 | 0.283202 | − | 0.959060i | \(-0.408603\pi\) |
0.143831 | + | 0.989602i | \(0.454058\pi\) | |||||||
\(294\) | 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 | −0.956358 | − | 0.292196i | \(-0.905614\pi\) |
−0.271236 | + | 0.962513i | \(0.587432\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 7.11114 | − | 49.4590i | 0.404538 | − | 2.81363i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.86753 | + | 8.46870i | −0.219307 | + | 0.480216i | −0.987024 | − | 0.160574i | \(-0.948666\pi\) |
0.767717 | + | 0.640790i | \(0.221393\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.87631 | + | 13.2222i | −0.162579 | + | 0.747363i | 0.821583 | + | 0.570089i | \(0.193091\pi\) |
−0.984162 | + | 0.177274i | \(0.943272\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −20.9467 | − | 66.3562i | −1.18021 | − | 3.73875i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −13.2133 | + | 2.87438i | −0.742133 | + | 0.161441i | −0.567709 | − | 0.823230i | \(-0.692170\pi\) |
−0.174424 | + | 0.984671i | \(0.555806\pi\) | |||||||
\(318\) | 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 | −0.992779 | − | 0.119959i | \(-0.961724\pi\) |
−0.303297 | + | 0.952896i | \(0.598087\pi\) | |||||||
\(332\) | 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 | −0.997899 | − | 0.0647826i | \(-0.979365\pi\) |
0.485007 | − | 0.874511i | \(-0.338817\pi\) | |||||||
\(338\) | 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 | 0.814764 | − | 0.579792i | \(-0.196866\pi\) |
0.236075 | + | 0.971735i | \(0.424139\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.6493 | − | 10.9607i | −0.677100 | − | 0.586711i | 0.246928 | − | 0.969034i | \(-0.420579\pi\) |
−0.924029 | + | 0.382323i | \(0.875124\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 46.4022 | + | 53.5510i | 2.47677 | + | 2.85834i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 6.47038 | + | 11.8496i | 0.344383 | + | 0.630691i | 0.991263 | − | 0.131901i | \(-0.0421082\pi\) |
−0.646880 | + | 0.762592i | \(0.723926\pi\) | |||||||
\(354\) | 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 | −0.945465 | − | 0.325725i | \(-0.894392\pi\) |
−0.0964707 | + | 0.995336i | \(0.530755\pi\) | |||||||
\(360\) | 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 | 0.515422 | − | 0.856936i | \(-0.327635\pi\) |
−0.856936 | + | 0.515422i | \(0.827635\pi\) | |||||||
\(368\) | 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 | −0.0742059 | − | 0.997243i | \(-0.523642\pi\) |
0.346770 | + | 0.937950i | \(0.387279\pi\) | |||||||
\(374\) | 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 | 0.229834 | + | 0.973230i | \(0.426182\pi\) |
−0.886027 | + | 0.463633i | \(0.846546\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −6.96776 | + | 48.4619i | −0.356969 | + | 2.48278i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.26972 | − | 0.693322i | 0.0648799 | − | 0.0354271i | −0.446482 | − | 0.894793i | \(-0.647323\pi\) |
0.511361 | + | 0.859366i | \(0.329141\pi\) | |||||||
\(384\) | 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 | 0.767452 | + | 0.641107i | \(0.221524\pi\) |
−0.0180581 | + | 0.999837i | \(0.505748\pi\) | |||||||
\(390\) | 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 | −0.211741 | − | 0.977326i | \(-0.567913\pi\) |
−0.348673 | + | 0.937244i | \(0.613368\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 21.0695 | − | 71.7561i | 1.05479 | − | 3.59230i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.59697 | + | 0.373389i | 0.129687 | + | 0.0186461i | 0.206852 | − | 0.978372i | \(-0.433678\pi\) |
−0.0771658 | + | 0.997018i | \(0.524587\pi\) | |||||||
\(402\) | 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 | 0.263600 | − | 0.964632i | \(-0.415090\pi\) |
0.767957 | − | 0.640502i | \(-0.221274\pi\) | |||||||
\(410\) | 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 | 0.601931 | − | 0.798548i | \(-0.294398\pi\) |
−0.476334 | + | 0.879265i | \(0.658035\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.89707 | + | 0.560315i | −0.189932 | + | 0.0273081i | −0.236624 | − | 0.971601i | \(-0.576041\pi\) |
0.0466924 | + | 0.998909i | \(0.485132\pi\) | |||||||
\(422\) | 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 | −0.626753 | − | 0.779218i | \(-0.715617\pi\) |
0.682090 | + | 0.731268i | \(0.261071\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.13985 | − | 15.9372i | −0.0547777 | − | 0.765893i | −0.948401 | − | 0.317074i | \(-0.897300\pi\) |
0.893623 | − | 0.448818i | \(-0.148155\pi\) | |||||||
\(434\) | 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 | −0.715030 | − | 0.699094i | \(-0.753587\pi\) |
0.0600948 | + | 0.998193i | \(0.480860\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 50.9982 | − | 58.8550i | 2.42848 | − | 2.80262i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 0.705750 | − | 9.86767i | 0.0335312 | − | 0.468827i | −0.952750 | − | 0.303755i | \(-0.901760\pi\) |
0.986281 | − | 0.165073i | \(-0.0527858\pi\) | |||||||
\(444\) | 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 | −0.0800395 | − | 0.996792i | \(-0.525505\pi\) |
−0.805740 | + | 0.592270i | \(0.798232\pi\) | |||||||
\(450\) | 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 | 0.262268 | − | 0.964995i | \(-0.415530\pi\) |
−0.670013 | + | 0.742349i | \(0.733712\pi\) | |||||||
\(458\) | 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 | 0.999858 | − | 0.0168394i | \(-0.00536041\pi\) |
0.526398 | + | 0.850238i | \(0.323542\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −21.5429 | + | 49.8072i | −0.999027 | + | 2.30975i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 17.3214 | − | 23.1387i | 0.801538 | − | 1.07073i | −0.194421 | − | 0.980918i | \(-0.562283\pi\) |
0.995959 | − | 0.0898110i | \(-0.0286263\pi\) | |||||||
\(468\) | 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 | −0.0699870 | + | 0.997548i | \(0.522296\pi\) |
−0.977434 | + | 0.211241i | \(0.932250\pi\) | |||||||
\(480\) | 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 | −0.690830 | − | 0.723017i | \(-0.742755\pi\) |
0.580903 | − | 0.813973i | \(-0.302700\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −31.4000 | + | 27.2082i | −1.41996 | + | 1.23040i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.209759 | + | 0.0615907i | 0.00946627 | + | 0.00277955i | 0.286462 | − | 0.958092i | \(-0.407521\pi\) |
−0.276996 | + | 0.960871i | \(0.589339\pi\) | |||||||
\(492\) | 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 | −0.856428 | − | 0.516267i | \(-0.827321\pi\) |
−0.676287 | + | 0.736638i | \(0.736412\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −42.9483 | − | 27.6012i | −1.91879 | − | 1.23313i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −3.00930 | + | 5.51113i | −0.134178 | + | 0.245729i | −0.936126 | − | 0.351665i | \(-0.885616\pi\) |
0.801948 | + | 0.597394i | \(0.203797\pi\) | |||||||
\(504\) | 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 | −0.722198 | − | 0.691687i | \(-0.756868\pi\) |
0.233597 | − | 0.972333i | \(-0.424950\pi\) | |||||||
\(510\) | 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 | −0.733996 | − | 0.679154i | \(-0.762347\pi\) |
0.984655 | − | 0.174512i | \(-0.0558348\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.38571 | − | 0.313672i | −0.191774 | − | 0.0137159i | −0.0248781 | − | 0.999690i | \(-0.507920\pi\) |
−0.166896 | + | 0.985975i | \(0.553374\pi\) | |||||||
\(524\) | 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 | 0.536710 | + | 0.843767i | \(0.319667\pi\) |
−0.989147 | + | 0.146932i | \(0.953060\pi\) | |||||||
\(542\) | 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 | −0.597507 | − | 0.801864i | \(-0.703842\pi\) |
−0.210405 | + | 0.977614i | \(0.567478\pi\) | |||||||
\(548\) | 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 | 0.999954 | − | 0.00961040i | \(-0.00305913\pi\) |
−0.913582 | + | 0.406654i | \(0.866695\pi\) | |||||||
\(558\) | 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 | 0.992180 | + | 0.124815i | \(0.0398339\pi\) |
−0.668103 | + | 0.744069i | \(0.732893\pi\) | |||||||
\(564\) | 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 | 0.967799 | + | 0.251722i | \(0.0809970\pi\) |
0.111428 | + | 0.993773i | \(0.464458\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.2793 | + | 12.3731i | 0.597570 | + | 0.517798i | 0.900295 | − | 0.435280i | \(-0.143351\pi\) |
−0.302725 | + | 0.953078i | \(0.597896\pi\) | |||||||
\(572\) | 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 | 0.392292 | − | 0.919841i | \(-0.371682\pi\) |
−0.305893 | + | 0.952066i | \(0.598955\pi\) | |||||||
\(578\) | 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 | 0.935954 | − | 0.352123i | \(-0.114540\pi\) |
−0.937938 | + | 0.346802i | \(0.887268\pi\) | |||||||
\(588\) | 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 | 0.752282 | + | 0.658841i | \(0.228953\pi\) |
−0.410607 | + | 0.911812i | \(0.634683\pi\) | |||||||
\(594\) | 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 | \(-0.705439\pi\) | ||
0.601524 | − | 0.798855i | \(-0.294561\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −25.6764 | + | 7.53926i | −1.04736 | + | 0.307533i | −0.759751 | − | 0.650215i | \(-0.774679\pi\) |
−0.287610 | + | 0.957748i | \(0.592861\pi\) | |||||||
\(602\) | 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 | −0.427464 | − | 0.904032i | \(-0.640593\pi\) |
0.764384 | − | 0.644761i | \(-0.223043\pi\) | |||||||
\(608\) | 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 | −0.812187 | − | 0.583397i | \(-0.801723\pi\) |
0.0516836 | + | 0.998664i | \(0.483541\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 14.7168 | − | 17.6929i | 0.593437 | − | 0.713446i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −4.53845 | + | 0.324597i | −0.182711 | + | 0.0130678i | −0.162395 | − | 0.986726i | \(-0.551922\pi\) |
−0.0203163 | + | 0.999794i | \(0.506467\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.0698 | − | 22.0498i | −0.404740 | − | 0.886256i | −0.996768 | − | 0.0803389i | \(-0.974400\pi\) |
0.592028 | − | 0.805917i | \(-0.298328\pi\) | |||||||
\(620\) | 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 | 0.567874 | − | 0.823115i | \(-0.307766\pi\) |
0.312973 | + | 0.949762i | \(0.398675\pi\) | |||||||
\(632\) | 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 | −0.948454 | − | 0.316915i | \(-0.897353\pi\) |
0.626553 | − | 0.779379i | \(-0.284465\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 18.1303 | − | 18.1303i | 0.714991 | − | 0.714991i | −0.252584 | − | 0.967575i | \(-0.581280\pi\) |
0.967575 | + | 0.252584i | \(0.0812804\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 6.20952 | + | 4.45583i | 0.244500 | + | 0.175448i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −5.40002 | + | 9.88940i | −0.212297 | + | 0.388792i | −0.962028 | − | 0.272950i | \(-0.912001\pi\) |
0.749732 | + | 0.661742i | \(0.230183\pi\) | |||||||
\(648\) | 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 | −0.560242 | − | 0.828329i | \(-0.689292\pi\) |
−0.853714 | + | 0.520742i | \(0.825655\pi\) | |||||||
\(654\) | 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 | −0.459651 | − | 0.888100i | \(-0.652025\pi\) |
−0.866826 | + | 0.498611i | \(0.833844\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.19716 | − | 1.90385i | 0.0854598 | − | 0.0740513i | −0.611083 | − | 0.791566i | \(-0.709266\pi\) |
0.696543 | + | 0.717515i | \(0.254721\pi\) | |||||||
\(662\) | 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 | 0.916788 | + | 0.399374i | \(0.130772\pi\) |
−0.964293 | + | 0.264836i | \(0.914682\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 52.8445 | + | 48.7440i | 2.03399 | + | 1.87616i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −29.9572 | + | 22.4257i | −1.15135 | + | 0.861890i | −0.992113 | − | 0.125350i | \(-0.959994\pi\) |
−0.159238 | + | 0.987240i | \(0.550904\pi\) | |||||||
\(678\) | 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 | 0.279028 | + | 0.960283i | \(0.409988\pi\) |
−0.999996 | + | 0.00281712i | \(0.999103\pi\) | |||||||
\(684\) | 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 | 0.565713 | − | 0.824602i | \(-0.308601\pi\) |
−0.252730 | + | 0.967537i | \(0.581328\pi\) | |||||||
\(702\) | 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 | −0.406428 | − | 0.913683i | \(-0.633226\pi\) |
0.962223 | + | 0.272261i | \(0.0877714\pi\) | |||||||
\(710\) | 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 | 0.164487 | − | 0.986379i | \(-0.447403\pi\) |
0.999748 | − | 0.0224362i | \(-0.00714225\pi\) | |||||||
\(720\) | 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 | 0.372456 | − | 0.928050i | \(-0.378516\pi\) |
−0.0467277 | + | 0.998908i | \(0.514879\pi\) | |||||||
\(728\) | 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 | 0.496401 | + | 0.868093i | \(0.334654\pi\) |
−0.998661 | + | 0.0517271i | \(0.983527\pi\) | |||||||
\(734\) | 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 | −0.629876 | − | 0.776696i | \(-0.716894\pi\) |
0.109972 | − | 0.993935i | \(-0.464924\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 47.6908 | − | 74.2084i | 1.75197 | − | 2.72611i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 11.1238 | + | 8.32714i | 0.408091 | + | 0.305493i | 0.783530 | − | 0.621354i | \(-0.213417\pi\) |
−0.375439 | + | 0.926847i | \(0.622508\pi\) | |||||||
\(744\) | 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 | −0.744076 | − | 0.668096i | \(-0.767110\pi\) |
0.987156 | − | 0.159760i | \(-0.0510721\pi\) | |||||||
\(752\) | 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 | −0.908373 | − | 0.418160i | \(-0.862675\pi\) |
0.960339 | + | 0.278834i | \(0.0899478\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.51439 | + | 35.6113i | −0.0549689 | + | 1.29261i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −15.7521 | − | 34.4922i | −0.571012 | − | 1.25034i | −0.946257 | − | 0.323417i | \(-0.895168\pi\) |
0.375244 | − | 0.926926i | \(-0.377559\pi\) | |||||||
\(762\) | 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 | −0.998696 | − | 0.0510530i | \(-0.983742\pi\) |
0.972625 | + | 0.232380i | \(0.0746513\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 14.0781 | − | 30.8267i | 0.507009 | − | 1.11020i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.32974 | + | 10.7096i | −0.0837950 | + | 0.385199i | −0.999875 | − | 0.0157957i | \(-0.994972\pi\) |
0.916080 | + | 0.400995i | \(0.131336\pi\) | |||||||
\(774\) | 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 | 0.967848 | + | 0.251534i | \(0.0809350\pi\) |
−0.775895 | + | 0.630862i | \(0.782701\pi\) | |||||||
\(788\) | 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 | 0.992555 | − | 0.121799i | \(-0.0388662\pi\) |
−0.639079 | + | 0.769141i | \(0.720684\pi\) | |||||||
\(798\) | 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 | 0.731764 | − | 0.681559i | \(-0.238698\pi\) |
−0.570480 | + | 0.821311i | \(0.693243\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −33.2168 | − | 38.3343i | −1.16640 | − | 1.34610i | −0.926948 | − | 0.375190i | \(-0.877577\pi\) |
−0.239453 | − | 0.970908i | \(-0.576968\pi\) | |||||||
\(812\) | 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 | 0.997194 | + | 0.0748585i | \(0.0238505\pi\) |
−0.935711 | + | 0.352768i | \(0.885240\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.93089 | − | 13.4731i | −0.102164 | − | 0.469642i | −0.999594 | − | 0.0284846i | \(-0.990932\pi\) |
0.897430 | − | 0.441157i | \(-0.145432\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −36.6007 | − | 6.42819i | −1.27427 | − | 0.223801i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 7.11232 | + | 7.11232i | 0.247320 | + | 0.247320i | 0.819870 | − | 0.572550i | \(-0.194046\pi\) |
−0.572550 | + | 0.819870i | \(0.694046\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 42.7316i | 1.48413i | 0.670329 | + | 0.742064i | \(0.266153\pi\) | ||||
−0.670329 | + | 0.742064i | \(0.733847\pi\) | |||||||
\(830\) | 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 | −0.470121 | − | 0.882602i | \(-0.655790\pi\) |
0.974890 | − | 0.222687i | \(-0.0714828\pi\) | |||||||
\(840\) | 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 | −0.222985 | − | 0.974822i | \(-0.571580\pi\) |
0.806893 | − | 0.590698i | \(-0.201147\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 21.4184 | + | 89.7074i | 0.732495 | + | 3.06793i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −25.6752 | − | 1.83633i | −0.877049 | − | 0.0627278i | −0.374450 | − | 0.927247i | \(-0.622168\pi\) |
−0.502600 | + | 0.864519i | \(0.667623\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −13.3715 | + | 45.5390i | −0.456228 | + | 1.55377i | 0.334980 | + | 0.942225i | \(0.391270\pi\) |
−0.791209 | + | 0.611546i | \(0.790548\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 42.5620 | + | 6.11950i | 1.45051 | + | 0.208552i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −0.0886542 | + | 0.0330663i | −0.00301782 | + | 0.00112559i | −0.350973 | − | 0.936386i | \(-0.614149\pi\) |
0.347955 | + | 0.937511i | \(0.386876\pi\) | |||||||
\(864\) | 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 | −0.999906 | − | 0.0137174i | \(-0.995633\pi\) |
0.552130 | + | 0.833758i | \(0.313815\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −19.9275 | − | 12.8066i | −0.672136 | − | 0.431956i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 17.6335 | − | 2.53531i | 0.594088 | − | 0.0854169i | 0.161288 | − | 0.986907i | \(-0.448435\pi\) |
0.432799 | + | 0.901490i | \(0.357526\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 22.3469 | + | 4.86128i | 0.752034 | + | 0.163595i | 0.572214 | − | 0.820104i | \(-0.306085\pi\) |
0.179820 | + | 0.983699i | \(0.442448\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −15.7754 | + | 58.0313i | −0.530283 | + | 1.95070i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −30.0775 | − | 40.1788i | −1.00990 | − | 1.34907i | −0.936074 | − | 0.351803i | \(-0.885569\pi\) |
−0.0738299 | − | 0.997271i | \(-0.523522\pi\) | |||||||
\(888\) | 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 | −0.786202 | − | 0.617970i | \(-0.787955\pi\) |
0.371439 | + | 0.928457i | \(0.378864\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 41.3238 | + | 18.8719i | 1.37062 | + | 0.625943i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −11.0404 | − | 17.1791i | −0.365783 | − | 0.569170i | 0.608764 | − | 0.793351i | \(-0.291666\pi\) |
−0.974547 | + | 0.224181i | \(0.928029\pi\) | |||||||
\(912\) | 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 | 0.611549 | − | 0.791206i | \(-0.290547\pi\) |
−0.973753 | + | 0.227606i | \(0.926910\pi\) | |||||||
\(930\) | 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 | −0.943181 | − | 0.332278i | \(-0.892183\pi\) |
0.980869 | − | 0.194667i | \(-0.0623627\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 28.6428 | − | 33.0555i | 0.934721 | − | 1.07873i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −51.1471 | + | 23.3581i | −1.66735 | + | 0.761452i | −0.667488 | + | 0.744620i | \(0.732631\pi\) |
−0.999858 | + | 0.0168314i | \(0.994642\pi\) | |||||||
\(942\) | 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 | −0.988856 | − | 0.148872i | \(-0.952436\pi\) |
0.957605 | − | 0.288086i | \(-0.0930189\pi\) | |||||||
\(948\) | 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 | 0.942245 | + | 0.334925i | \(0.108711\pi\) |
0.0558973 | + | 0.998437i | \(0.482198\pi\) | |||||||
\(954\) | 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 | −0.996939 | − | 0.0781856i | \(-0.975087\pi\) |
0.0781856 | + | 0.996939i | \(0.475087\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 21.6470 | + | 73.7228i | 0.695401 | + | 2.36832i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 15.9668 | − | 24.8448i | 0.512399 | − | 0.797308i | −0.484599 | − | 0.874736i | \(-0.661034\pi\) |
0.996998 | + | 0.0774281i | \(0.0246708\pi\) | |||||||
\(972\) | 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 | 0.804293 | − | 0.594233i | \(-0.202544\pi\) |
0.996984 | − | 0.0776081i | \(-0.0247283\pi\) | |||||||
\(978\) | 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 | −0.0668350 | − | 0.997764i | \(-0.521290\pi\) |
−0.208151 | + | 0.978097i | \(0.566745\pi\) | |||||||
\(984\) | 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 | −0.937129 | − | 0.348983i | \(-0.886527\pi\) |
0.349945 | − | 0.936770i | \(-0.386200\pi\) | |||||||
\(992\) | 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 | 0.320982 | − | 0.947085i | \(-0.395987\pi\) |
0.970275 | + | 0.242006i | \(0.0778053\pi\) | |||||||
\(998\) | 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.433.2 | yes | 720 | |
5.2 | odd | 4 | inner | 920.2.bv.a.617.2 | yes | 720 | |
23.17 | odd | 22 | inner | 920.2.bv.a.753.2 | yes | 720 | |
115.17 | even | 44 | inner | 920.2.bv.a.17.2 | ✓ | 720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.bv.a.17.2 | ✓ | 720 | 115.17 | even | 44 | inner | |
920.2.bv.a.433.2 | yes | 720 | 1.1 | even | 1 | trivial | |
920.2.bv.a.617.2 | yes | 720 | 5.2 | odd | 4 | inner | |
920.2.bv.a.753.2 | yes | 720 | 23.17 | odd | 22 | inner |