Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(62,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.62");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 83.6 | ||
Character | \(\chi\) | \(=\) | 105.83 |
Dual form | 105.3.k.d.62.6 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.88692 | − | 1.88692i | −0.943459 | − | 0.943459i | 0.0550258 | − | 0.998485i | \(-0.482476\pi\) |
−0.998485 | + | 0.0550258i | \(0.982476\pi\) | |||||||
\(3\) | 2.65373 | − | 1.39918i | 0.884578 | − | 0.466392i | ||||
\(4\) | 3.12092i | 0.780230i | ||||||||
\(5\) | −4.96950 | + | 0.551428i | −0.993900 | + | 0.110286i | ||||
\(6\) | −7.64751 | − | 2.36725i | −1.27459 | − | 0.394542i | ||||
\(7\) | −6.68054 | − | 2.09055i | −0.954363 | − | 0.298651i | ||||
\(8\) | −1.65875 | + | 1.65875i | −0.207344 | + | 0.207344i | ||||
\(9\) | 5.08462 | − | 7.42608i | 0.564957 | − | 0.825120i | ||||
\(10\) | 10.4175 | + | 8.33654i | 1.04175 | + | 0.833654i | ||||
\(11\) | − | 17.9060i | − | 1.62782i | −0.580989 | − | 0.813911i | \(-0.697334\pi\) | ||
0.580989 | − | 0.813911i | \(-0.302666\pi\) | |||||||
\(12\) | 4.36672 | + | 8.28210i | 0.363893 | + | 0.690175i | ||||
\(13\) | −11.1383 | + | 11.1383i | −0.856796 | + | 0.856796i | −0.990959 | − | 0.134164i | \(-0.957165\pi\) |
0.134164 | + | 0.990959i | \(0.457165\pi\) | |||||||
\(14\) | 8.66093 | + | 16.5503i | 0.618638 | + | 1.18217i | ||||
\(15\) | −12.4162 | + | 8.41655i | −0.827746 | + | 0.561103i | ||||
\(16\) | 18.7435 | 1.17147 | ||||||||
\(17\) | 0.666845 | − | 0.666845i | 0.0392262 | − | 0.0392262i | −0.687222 | − | 0.726448i | \(-0.741170\pi\) |
0.726448 | + | 0.687222i | \(0.241170\pi\) | |||||||
\(18\) | −23.6067 | + | 4.41815i | −1.31148 | + | 0.245453i | ||||
\(19\) | −10.8119 | −0.569046 | −0.284523 | − | 0.958669i | \(-0.591835\pi\) | ||||
−0.284523 | + | 0.958669i | \(0.591835\pi\) | |||||||
\(20\) | −1.72096 | − | 15.5094i | −0.0860482 | − | 0.775471i | ||||
\(21\) | −20.6534 | + | 3.79947i | −0.983496 | + | 0.180927i | ||||
\(22\) | −33.7872 | + | 33.7872i | −1.53578 | + | 1.53578i | ||||
\(23\) | 2.20425 | − | 2.20425i | 0.0958368 | − | 0.0958368i | −0.657563 | − | 0.753400i | \(-0.728413\pi\) |
0.753400 | + | 0.657563i | \(0.228413\pi\) | |||||||
\(24\) | −2.08100 | + | 6.72276i | −0.0867083 | + | 0.280115i | ||||
\(25\) | 24.3919 | − | 5.48064i | 0.975674 | − | 0.219226i | ||||
\(26\) | 42.0343 | 1.61670 | ||||||||
\(27\) | 3.10283 | − | 26.8211i | 0.114920 | − | 0.993375i | ||||
\(28\) | 6.52445 | − | 20.8494i | 0.233016 | − | 0.744623i | ||||
\(29\) | 22.9708 | 0.792098 | 0.396049 | − | 0.918229i | \(-0.370381\pi\) | ||||
0.396049 | + | 0.918229i | \(0.370381\pi\) | |||||||
\(30\) | 39.3097 | + | 7.54700i | 1.31032 | + | 0.251567i | ||||
\(31\) | − | 26.1094i | − | 0.842240i | −0.907005 | − | 0.421120i | \(-0.861637\pi\) | ||
0.907005 | − | 0.421120i | \(-0.138363\pi\) | |||||||
\(32\) | −28.7325 | − | 28.7325i | −0.897891 | − | 0.897891i | ||||
\(33\) | −25.0537 | − | 47.5179i | −0.759203 | − | 1.43994i | ||||
\(34\) | −2.51656 | −0.0740166 | ||||||||
\(35\) | 34.3517 | + | 6.70517i | 0.981478 | + | 0.191576i | ||||
\(36\) | 23.1762 | + | 15.8687i | 0.643784 | + | 0.440797i | ||||
\(37\) | 41.6663 | − | 41.6663i | 1.12612 | − | 1.12612i | 0.135314 | − | 0.990803i | \(-0.456796\pi\) |
0.990803 | − | 0.135314i | \(-0.0432044\pi\) | |||||||
\(38\) | 20.4011 | + | 20.4011i | 0.536871 | + | 0.536871i | ||||
\(39\) | −13.9737 | + | 45.1427i | −0.358300 | + | 1.15751i | ||||
\(40\) | 7.32848 | − | 9.15784i | 0.183212 | − | 0.228946i | ||||
\(41\) | −6.85976 | −0.167311 | −0.0836556 | − | 0.996495i | \(-0.526660\pi\) | ||||
−0.0836556 | + | 0.996495i | \(0.526660\pi\) | |||||||
\(42\) | 46.1406 | + | 31.8020i | 1.09859 | + | 0.757191i | ||||
\(43\) | −37.6932 | − | 37.6932i | −0.876587 | − | 0.876587i | 0.116593 | − | 0.993180i | \(-0.462803\pi\) |
−0.993180 | + | 0.116593i | \(0.962803\pi\) | |||||||
\(44\) | 55.8834 | 1.27008 | ||||||||
\(45\) | −21.1730 | + | 39.7077i | −0.470512 | + | 0.882394i | ||||
\(46\) | −8.31847 | −0.180836 | ||||||||
\(47\) | −5.55606 | + | 5.55606i | −0.118214 | + | 0.118214i | −0.763739 | − | 0.645525i | \(-0.776639\pi\) |
0.645525 | + | 0.763739i | \(0.276639\pi\) | |||||||
\(48\) | 49.7404 | − | 26.2255i | 1.03626 | − | 0.546364i | ||||
\(49\) | 40.2592 | + | 27.9320i | 0.821616 | + | 0.570042i | ||||
\(50\) | −56.3670 | − | 35.6839i | −1.12734 | − | 0.713678i | ||||
\(51\) | 0.836596 | − | 2.70266i | 0.0164038 | − | 0.0529934i | ||||
\(52\) | −34.7619 | − | 34.7619i | −0.668498 | − | 0.668498i | ||||
\(53\) | −32.4556 | + | 32.4556i | −0.612369 | + | 0.612369i | −0.943563 | − | 0.331194i | \(-0.892549\pi\) |
0.331194 | + | 0.943563i | \(0.392549\pi\) | |||||||
\(54\) | −56.4640 | + | 44.7545i | −1.04563 | + | 0.828787i | ||||
\(55\) | 9.87390 | + | 88.9841i | 0.179525 | + | 1.61789i | ||||
\(56\) | 14.5490 | − | 7.61364i | 0.259804 | − | 0.135958i | ||||
\(57\) | −28.6918 | + | 15.1277i | −0.503365 | + | 0.265398i | ||||
\(58\) | −43.3441 | − | 43.3441i | −0.747312 | − | 0.747312i | ||||
\(59\) | − | 99.8940i | − | 1.69312i | −0.532294 | − | 0.846559i | \(-0.678670\pi\) | ||
0.532294 | − | 0.846559i | \(-0.321330\pi\) | |||||||
\(60\) | −26.2674 | − | 38.7499i | −0.437790 | − | 0.645832i | ||||
\(61\) | 44.6768i | 0.732406i | 0.930535 | + | 0.366203i | \(0.119342\pi\) | ||||
−0.930535 | + | 0.366203i | \(0.880658\pi\) | |||||||
\(62\) | −49.2664 | + | 49.2664i | −0.794619 | + | 0.794619i | ||||
\(63\) | −49.4926 | + | 38.9806i | −0.785597 | + | 0.618739i | ||||
\(64\) | 33.4577i | 0.522776i | ||||||||
\(65\) | 49.2100 | − | 61.4940i | 0.757077 | − | 0.946061i | ||||
\(66\) | −42.3881 | + | 136.937i | −0.642244 | + | 2.07480i | ||||
\(67\) | −18.0239 | + | 18.0239i | −0.269013 | + | 0.269013i | −0.828702 | − | 0.559689i | \(-0.810920\pi\) |
0.559689 | + | 0.828702i | \(0.310920\pi\) | |||||||
\(68\) | 2.08117 | + | 2.08117i | 0.0306054 | + | 0.0306054i | ||||
\(69\) | 2.76536 | − | 8.93362i | 0.0400777 | − | 0.129473i | ||||
\(70\) | −52.1668 | − | 77.4710i | −0.745240 | − | 1.10673i | ||||
\(71\) | 6.35575i | 0.0895177i | 0.998998 | + | 0.0447588i | \(0.0142519\pi\) | ||||
−0.998998 | + | 0.0447588i | \(0.985748\pi\) | |||||||
\(72\) | 3.88391 | + | 20.7521i | 0.0539431 | + | 0.288224i | ||||
\(73\) | 55.3597 | − | 55.3597i | 0.758352 | − | 0.758352i | −0.217671 | − | 0.976022i | \(-0.569846\pi\) |
0.976022 | + | 0.217671i | \(0.0698458\pi\) | |||||||
\(74\) | −157.242 | −2.12489 | ||||||||
\(75\) | 57.0611 | − | 48.6727i | 0.760815 | − | 0.648969i | ||||
\(76\) | − | 33.7430i | − | 0.443987i | ||||||
\(77\) | −37.4336 | + | 119.622i | −0.486150 | + | 1.55353i | ||||
\(78\) | 111.548 | − | 58.8133i | 1.43010 | − | 0.754017i | ||||
\(79\) | 59.7832i | 0.756749i | 0.925653 | + | 0.378375i | \(0.123517\pi\) | ||||
−0.925653 | + | 0.378375i | \(0.876483\pi\) | |||||||
\(80\) | −93.1460 | + | 10.3357i | −1.16432 | + | 0.129196i | ||||
\(81\) | −29.2934 | − | 75.5175i | −0.361646 | − | 0.932315i | ||||
\(82\) | 12.9438 | + | 12.9438i | 0.157851 | + | 0.157851i | ||||
\(83\) | 42.2387 | + | 42.2387i | 0.508900 | + | 0.508900i | 0.914189 | − | 0.405289i | \(-0.132829\pi\) |
−0.405289 | + | 0.914189i | \(0.632829\pi\) | |||||||
\(84\) | −11.8578 | − | 64.4577i | −0.141165 | − | 0.767354i | ||||
\(85\) | −2.94617 | + | 3.68160i | −0.0346608 | + | 0.0433130i | ||||
\(86\) | 142.248i | 1.65405i | ||||||||
\(87\) | 60.9585 | − | 32.1402i | 0.700673 | − | 0.369428i | ||||
\(88\) | 29.7017 | + | 29.7017i | 0.337519 | + | 0.337519i | ||||
\(89\) | 58.4197i | 0.656401i | 0.944608 | + | 0.328200i | \(0.106442\pi\) | ||||
−0.944608 | + | 0.328200i | \(0.893558\pi\) | |||||||
\(90\) | 114.877 | − | 34.9734i | 1.27641 | − | 0.388593i | ||||
\(91\) | 97.6954 | − | 51.1248i | 1.07358 | − | 0.561811i | ||||
\(92\) | 6.87928 | + | 6.87928i | 0.0747748 | + | 0.0747748i | ||||
\(93\) | −36.5317 | − | 69.2875i | −0.392814 | − | 0.745027i | ||||
\(94\) | 20.9677 | 0.223060 | ||||||||
\(95\) | 53.7296 | − | 5.96197i | 0.565574 | − | 0.0627576i | ||||
\(96\) | −116.450 | − | 36.0466i | −1.21302 | − | 0.375486i | ||||
\(97\) | 11.1921 | + | 11.1921i | 0.115383 | + | 0.115383i | 0.762441 | − | 0.647058i | \(-0.224001\pi\) |
−0.647058 | + | 0.762441i | \(0.724001\pi\) | |||||||
\(98\) | −23.2603 | − | 128.671i | −0.237350 | − | 1.31297i | ||||
\(99\) | −132.972 | − | 91.0454i | −1.34315 | − | 0.919650i | ||||
\(100\) | 17.1047 | + | 76.1251i | 0.171047 | + | 0.761251i | ||||
\(101\) | −11.9219 | −0.118038 | −0.0590191 | − | 0.998257i | \(-0.518797\pi\) | ||||
−0.0590191 | + | 0.998257i | \(0.518797\pi\) | |||||||
\(102\) | −6.67829 | + | 3.52111i | −0.0654734 | + | 0.0345207i | ||||
\(103\) | −24.4345 | + | 24.4345i | −0.237229 | + | 0.237229i | −0.815702 | − | 0.578473i | \(-0.803649\pi\) |
0.578473 | + | 0.815702i | \(0.303649\pi\) | |||||||
\(104\) | − | 36.9514i | − | 0.355302i | ||||||
\(105\) | 100.542 | − | 30.2703i | 0.957543 | − | 0.288289i | ||||
\(106\) | 122.482 | 1.15549 | ||||||||
\(107\) | 36.8755 | + | 36.8755i | 0.344631 | + | 0.344631i | 0.858105 | − | 0.513474i | \(-0.171642\pi\) |
−0.513474 | + | 0.858105i | \(0.671642\pi\) | |||||||
\(108\) | 83.7066 | + | 9.68369i | 0.775061 | + | 0.0896638i | ||||
\(109\) | 53.8082i | 0.493653i | 0.969060 | + | 0.246827i | \(0.0793879\pi\) | ||||
−0.969060 | + | 0.246827i | \(0.920612\pi\) | |||||||
\(110\) | 149.274 | − | 186.537i | 1.35704 | − | 1.69579i | ||||
\(111\) | 52.2729 | − | 168.870i | 0.470927 | − | 1.52135i | ||||
\(112\) | −125.217 | − | 39.1844i | −1.11801 | − | 0.349860i | ||||
\(113\) | −83.5360 | + | 83.5360i | −0.739257 | + | 0.739257i | −0.972434 | − | 0.233177i | \(-0.925088\pi\) |
0.233177 | + | 0.972434i | \(0.425088\pi\) | |||||||
\(114\) | 82.6839 | + | 25.5944i | 0.725297 | + | 0.224512i | ||||
\(115\) | −9.73852 | + | 12.1695i | −0.0846828 | + | 0.105822i | ||||
\(116\) | 71.6902i | 0.618019i | ||||||||
\(117\) | 26.0800 | + | 139.348i | 0.222906 | + | 1.19101i | ||||
\(118\) | −188.492 | + | 188.492i | −1.59739 | + | 1.59739i | ||||
\(119\) | −5.84896 | + | 3.06081i | −0.0491509 | + | 0.0257211i | ||||
\(120\) | 6.63441 | − | 34.5563i | 0.0552867 | − | 0.287969i | ||||
\(121\) | −199.627 | −1.64981 | ||||||||
\(122\) | 84.3014 | − | 84.3014i | 0.690995 | − | 0.690995i | ||||
\(123\) | −18.2040 | + | 9.59801i | −0.148000 | + | 0.0780326i | ||||
\(124\) | 81.4855 | 0.657141 | ||||||||
\(125\) | −118.193 | + | 40.6864i | −0.945545 | + | 0.325491i | ||||
\(126\) | 166.942 | + | 19.8353i | 1.32493 | + | 0.157423i | ||||
\(127\) | 147.690 | − | 147.690i | 1.16291 | − | 1.16291i | 0.179080 | − | 0.983835i | \(-0.442688\pi\) |
0.983835 | − | 0.179080i | \(-0.0573121\pi\) | |||||||
\(128\) | −51.7981 | + | 51.7981i | −0.404673 | + | 0.404673i | ||||
\(129\) | −152.767 | − | 47.2884i | −1.18424 | − | 0.366577i | ||||
\(130\) | −208.889 | + | 23.1789i | −1.60684 | + | 0.178299i | ||||
\(131\) | 131.274 | 1.00209 | 0.501046 | − | 0.865421i | \(-0.332949\pi\) | ||||
0.501046 | + | 0.865421i | \(0.332949\pi\) | |||||||
\(132\) | 148.300 | − | 78.1906i | 1.12348 | − | 0.592353i | ||||
\(133\) | 72.2291 | + | 22.6028i | 0.543076 | + | 0.169946i | ||||
\(134\) | 68.0192 | 0.507606 | ||||||||
\(135\) | −0.629594 | + | 134.999i | −0.00466366 | + | 0.999989i | ||||
\(136\) | 2.21226i | 0.0162666i | ||||||||
\(137\) | −68.1163 | − | 68.1163i | −0.497199 | − | 0.497199i | 0.413366 | − | 0.910565i | \(-0.364353\pi\) |
−0.910565 | + | 0.413366i | \(0.864353\pi\) | |||||||
\(138\) | −22.0750 | + | 11.6390i | −0.159964 | + | 0.0843406i | ||||
\(139\) | −30.1138 | −0.216646 | −0.108323 | − | 0.994116i | \(-0.534548\pi\) | ||||
−0.108323 | + | 0.994116i | \(0.534548\pi\) | |||||||
\(140\) | −20.9263 | + | 107.209i | −0.149474 | + | 0.765779i | ||||
\(141\) | −6.97041 | + | 22.5182i | −0.0494355 | + | 0.159704i | ||||
\(142\) | 11.9928 | − | 11.9928i | 0.0844563 | − | 0.0844563i | ||||
\(143\) | 199.444 | + | 199.444i | 1.39471 | + | 1.39471i | ||||
\(144\) | 95.3037 | − | 139.191i | 0.661831 | − | 0.966604i | ||||
\(145\) | −114.154 | + | 12.6668i | −0.787266 | + | 0.0873570i | ||||
\(146\) | −208.918 | −1.43095 | ||||||||
\(147\) | 145.919 | + | 17.7946i | 0.992646 | + | 0.121052i | ||||
\(148\) | 130.037 | + | 130.037i | 0.878631 | + | 0.878631i | ||||
\(149\) | −92.4633 | −0.620559 | −0.310280 | − | 0.950645i | \(-0.600423\pi\) | ||||
−0.310280 | + | 0.950645i | \(0.600423\pi\) | |||||||
\(150\) | −199.511 | − | 15.8283i | −1.33007 | − | 0.105522i | ||||
\(151\) | −12.2683 | −0.0812472 | −0.0406236 | − | 0.999175i | \(-0.512934\pi\) | ||||
−0.0406236 | + | 0.999175i | \(0.512934\pi\) | |||||||
\(152\) | 17.9342 | − | 17.9342i | 0.117988 | − | 0.117988i | ||||
\(153\) | −1.56139 | − | 8.34269i | −0.0102052 | − | 0.0545274i | ||||
\(154\) | 296.351 | − | 155.083i | 1.92436 | − | 1.00703i | ||||
\(155\) | 14.3975 | + | 129.751i | 0.0928870 | + | 0.837102i | ||||
\(156\) | −140.887 | − | 43.6108i | −0.903121 | − | 0.279557i | ||||
\(157\) | −63.9309 | − | 63.9309i | −0.407203 | − | 0.407203i | 0.473559 | − | 0.880762i | \(-0.342969\pi\) |
−0.880762 | + | 0.473559i | \(0.842969\pi\) | |||||||
\(158\) | 112.806 | − | 112.806i | 0.713962 | − | 0.713962i | ||||
\(159\) | −40.7174 | + | 131.540i | −0.256084 | + | 0.827292i | ||||
\(160\) | 158.630 | + | 126.942i | 0.991439 | + | 0.793390i | ||||
\(161\) | −19.3337 | + | 10.1175i | −0.120085 | + | 0.0628414i | ||||
\(162\) | −87.2212 | + | 197.770i | −0.538403 | + | 1.22080i | ||||
\(163\) | −10.2931 | − | 10.2931i | −0.0631481 | − | 0.0631481i | 0.674827 | − | 0.737976i | \(-0.264218\pi\) |
−0.737976 | + | 0.674827i | \(0.764218\pi\) | |||||||
\(164\) | − | 21.4088i | − | 0.130541i | ||||||
\(165\) | 150.707 | + | 222.325i | 0.913376 | + | 1.34742i | ||||
\(166\) | − | 159.402i | − | 0.960253i | ||||||
\(167\) | 57.7311 | − | 57.7311i | 0.345695 | − | 0.345695i | −0.512808 | − | 0.858503i | \(-0.671395\pi\) |
0.858503 | + | 0.512808i | \(0.171395\pi\) | |||||||
\(168\) | 27.9565 | − | 40.5612i | 0.166408 | − | 0.241436i | ||||
\(169\) | − | 79.1253i | − | 0.468197i | ||||||
\(170\) | 12.5061 | − | 1.38770i | 0.0735650 | − | 0.00816296i | ||||
\(171\) | −54.9742 | + | 80.2898i | −0.321487 | + | 0.469531i | ||||
\(172\) | 117.638 | − | 117.638i | 0.683940 | − | 0.683940i | ||||
\(173\) | −179.111 | − | 179.111i | −1.03532 | − | 1.03532i | −0.999353 | − | 0.0359688i | \(-0.988548\pi\) |
−0.0359688 | − | 0.999353i | \(-0.511452\pi\) | |||||||
\(174\) | −175.670 | − | 54.3777i | −1.00960 | − | 0.312516i | ||||
\(175\) | −174.408 | − | 14.3788i | −0.996619 | − | 0.0821647i | ||||
\(176\) | − | 335.623i | − | 1.90695i | ||||||
\(177\) | −139.769 | − | 265.092i | −0.789657 | − | 1.49770i | ||||
\(178\) | 110.233 | − | 110.233i | 0.619287 | − | 0.619287i | ||||
\(179\) | 307.914 | 1.72019 | 0.860095 | − | 0.510133i | \(-0.170404\pi\) | ||||
0.860095 | + | 0.510133i | \(0.170404\pi\) | |||||||
\(180\) | −123.925 | − | 66.0794i | −0.688470 | − | 0.367108i | ||||
\(181\) | − | 124.967i | − | 0.690428i | −0.938524 | − | 0.345214i | \(-0.887806\pi\) | ||
0.938524 | − | 0.345214i | \(-0.112194\pi\) | |||||||
\(182\) | −280.812 | − | 87.8749i | −1.54292 | − | 0.482829i | ||||
\(183\) | 62.5106 | + | 118.560i | 0.341588 | + | 0.647870i | ||||
\(184\) | 7.31259i | 0.0397423i | ||||||||
\(185\) | −184.085 | + | 230.037i | −0.995053 | + | 1.24344i | ||||
\(186\) | −61.8076 | + | 199.672i | −0.332299 | + | 1.07351i | ||||
\(187\) | −11.9406 | − | 11.9406i | −0.0638532 | − | 0.0638532i | ||||
\(188\) | −17.3400 | − | 17.3400i | −0.0922342 | − | 0.0922342i | ||||
\(189\) | −76.7996 | + | 172.693i | −0.406347 | + | 0.913719i | ||||
\(190\) | −112.633 | − | 90.1336i | −0.592806 | − | 0.474387i | ||||
\(191\) | − | 120.234i | − | 0.629496i | −0.949175 | − | 0.314748i | \(-0.898080\pi\) | ||
0.949175 | − | 0.314748i | \(-0.101920\pi\) | |||||||
\(192\) | 46.8132 | + | 88.7878i | 0.243819 | + | 0.462437i | ||||
\(193\) | −12.8649 | − | 12.8649i | −0.0666576 | − | 0.0666576i | 0.672992 | − | 0.739650i | \(-0.265009\pi\) |
−0.739650 | + | 0.672992i | \(0.765009\pi\) | |||||||
\(194\) | − | 42.2372i | − | 0.217718i | ||||||
\(195\) | 44.5494 | − | 232.042i | 0.228458 | − | 1.18996i | ||||
\(196\) | −87.1737 | + | 125.646i | −0.444764 | + | 0.641050i | ||||
\(197\) | 7.82035 | + | 7.82035i | 0.0396972 | + | 0.0396972i | 0.726677 | − | 0.686980i | \(-0.241064\pi\) |
−0.686980 | + | 0.726677i | \(0.741064\pi\) | |||||||
\(198\) | 79.1117 | + | 422.702i | 0.399554 | + | 2.13486i | ||||
\(199\) | 301.160 | 1.51336 | 0.756682 | − | 0.653783i | \(-0.226819\pi\) | ||||
0.756682 | + | 0.653783i | \(0.226819\pi\) | |||||||
\(200\) | −31.3690 | + | 49.5510i | −0.156845 | + | 0.247755i | ||||
\(201\) | −22.6120 | + | 73.0491i | −0.112498 | + | 0.363429i | ||||
\(202\) | 22.4956 | + | 22.4956i | 0.111364 | + | 0.111364i | ||||
\(203\) | −153.458 | − | 48.0218i | −0.755949 | − | 0.236560i | ||||
\(204\) | 8.43479 | + | 2.61095i | 0.0413470 | + | 0.0127988i | ||||
\(205\) | 34.0896 | − | 3.78266i | 0.166291 | − | 0.0184520i | ||||
\(206\) | 92.2120 | 0.447631 | ||||||||
\(207\) | −5.16117 | − | 27.5767i | −0.0249332 | − | 0.133221i | ||||
\(208\) | −208.772 | + | 208.772i | −1.00371 | + | 1.00371i | ||||
\(209\) | 193.598i | 0.926305i | ||||||||
\(210\) | −246.832 | − | 132.597i | −1.17539 | − | 0.631414i | ||||
\(211\) | −363.605 | −1.72325 | −0.861623 | − | 0.507549i | \(-0.830552\pi\) | ||||
−0.861623 | + | 0.507549i | \(0.830552\pi\) | |||||||
\(212\) | −101.291 | − | 101.291i | −0.477789 | − | 0.477789i | ||||
\(213\) | 8.89282 | + | 16.8665i | 0.0417503 | + | 0.0791854i | ||||
\(214\) | − | 139.162i | − | 0.650291i | ||||||
\(215\) | 208.102 | + | 166.531i | 0.967915 | + | 0.774565i | ||||
\(216\) | 39.3427 | + | 49.6363i | 0.182142 | + | 0.229798i | ||||
\(217\) | −54.5832 | + | 174.425i | −0.251535 | + | 0.803802i | ||||
\(218\) | 101.532 | − | 101.532i | 0.465742 | − | 0.465742i | ||||
\(219\) | 69.4520 | − | 224.368i | 0.317132 | − | 1.02451i | ||||
\(220\) | −277.712 | + | 30.8157i | −1.26233 | + | 0.140071i | ||||
\(221\) | 14.8551i | 0.0672176i | ||||||||
\(222\) | −417.278 | + | 220.009i | −1.87963 | + | 0.991032i | ||||
\(223\) | −21.1671 | + | 21.1671i | −0.0949198 | + | 0.0949198i | −0.752972 | − | 0.658052i | \(-0.771381\pi\) |
0.658052 | + | 0.752972i | \(0.271381\pi\) | |||||||
\(224\) | 131.882 | + | 252.016i | 0.588758 | + | 1.12507i | ||||
\(225\) | 83.3235 | − | 209.003i | 0.370327 | − | 0.928902i | ||||
\(226\) | 315.251 | 1.39492 | ||||||||
\(227\) | 190.960 | − | 190.960i | 0.841234 | − | 0.841234i | −0.147785 | − | 0.989019i | \(-0.547215\pi\) |
0.989019 | + | 0.147785i | \(0.0472145\pi\) | |||||||
\(228\) | −47.2124 | − | 89.5449i | −0.207072 | − | 0.392741i | ||||
\(229\) | 84.1627 | 0.367523 | 0.183761 | − | 0.982971i | \(-0.441173\pi\) | ||||
0.183761 | + | 0.982971i | \(0.441173\pi\) | |||||||
\(230\) | 41.3386 | − | 4.58704i | 0.179733 | − | 0.0199436i | ||||
\(231\) | 68.0335 | + | 369.821i | 0.294517 | + | 1.60096i | ||||
\(232\) | −38.1029 | + | 38.1029i | −0.164237 | + | 0.164237i | ||||
\(233\) | 227.465 | − | 227.465i | 0.976246 | − | 0.976246i | −0.0234784 | − | 0.999724i | \(-0.507474\pi\) |
0.999724 | + | 0.0234784i | \(0.00747408\pi\) | |||||||
\(234\) | 213.728 | − | 312.150i | 0.913368 | − | 1.33397i | ||||
\(235\) | 24.5471 | − | 30.6746i | 0.104456 | − | 0.130530i | ||||
\(236\) | 311.761 | 1.32102 | ||||||||
\(237\) | 83.6472 | + | 158.649i | 0.352942 | + | 0.669404i | ||||
\(238\) | 16.8120 | + | 5.26101i | 0.0706386 | + | 0.0221051i | ||||
\(239\) | −19.0852 | −0.0798543 | −0.0399272 | − | 0.999203i | \(-0.512713\pi\) | ||||
−0.0399272 | + | 0.999203i | \(0.512713\pi\) | |||||||
\(240\) | −232.723 | + | 157.756i | −0.969680 | + | 0.657316i | ||||
\(241\) | 345.423i | 1.43329i | 0.697438 | + | 0.716645i | \(0.254323\pi\) | ||||
−0.697438 | + | 0.716645i | \(0.745677\pi\) | |||||||
\(242\) | 376.679 | + | 376.679i | 1.55652 | + | 1.55652i | ||||
\(243\) | −183.399 | − | 159.417i | −0.754729 | − | 0.656037i | ||||
\(244\) | −139.433 | −0.571445 | ||||||||
\(245\) | −215.470 | − | 116.608i | −0.879471 | − | 0.475952i | ||||
\(246\) | 52.4601 | + | 16.2388i | 0.213252 | + | 0.0660112i | ||||
\(247\) | 120.426 | − | 120.426i | 0.487556 | − | 0.487556i | ||||
\(248\) | 43.3090 | + | 43.3090i | 0.174633 | + | 0.174633i | ||||
\(249\) | 171.190 | + | 52.9910i | 0.687509 | + | 0.212815i | ||||
\(250\) | 299.793 | + | 146.249i | 1.19917 | + | 0.584995i | ||||
\(251\) | −253.938 | −1.01170 | −0.505852 | − | 0.862620i | \(-0.668822\pi\) | ||||
−0.505852 | + | 0.862620i | \(0.668822\pi\) | |||||||
\(252\) | −121.655 | − | 154.462i | −0.482759 | − | 0.612946i | ||||
\(253\) | −39.4694 | − | 39.4694i | −0.156005 | − | 0.156005i | ||||
\(254\) | −557.358 | −2.19432 | ||||||||
\(255\) | −2.66714 | + | 13.8922i | −0.0104594 | + | 0.0544792i | ||||
\(256\) | 329.309 | 1.28636 | ||||||||
\(257\) | 295.955 | − | 295.955i | 1.15158 | − | 1.15158i | 0.165340 | − | 0.986237i | \(-0.447128\pi\) |
0.986237 | − | 0.165340i | \(-0.0528721\pi\) | |||||||
\(258\) | 199.030 | + | 377.489i | 0.771435 | + | 1.46313i | ||||
\(259\) | −365.459 | + | 191.248i | −1.41104 | + | 0.738408i | ||||
\(260\) | 191.918 | + | 153.581i | 0.738146 | + | 0.590694i | ||||
\(261\) | 116.798 | − | 170.583i | 0.447502 | − | 0.653576i | ||||
\(262\) | −247.703 | − | 247.703i | −0.945433 | − | 0.945433i | ||||
\(263\) | 1.73180 | − | 1.73180i | 0.00658477 | − | 0.00658477i | −0.703807 | − | 0.710392i | \(-0.748518\pi\) |
0.710392 | + | 0.703807i | \(0.248518\pi\) | |||||||
\(264\) | 120.378 | + | 37.2625i | 0.455978 | + | 0.141146i | ||||
\(265\) | 143.391 | − | 179.185i | 0.541098 | − | 0.676169i | ||||
\(266\) | −93.6408 | − | 178.940i | −0.352033 | − | 0.672707i | ||||
\(267\) | 81.7394 | + | 155.030i | 0.306140 | + | 0.580638i | ||||
\(268\) | −56.2511 | − | 56.2511i | −0.209892 | − | 0.209892i | ||||
\(269\) | − | 400.956i | − | 1.49054i | −0.666761 | − | 0.745272i | \(-0.732320\pi\) | ||
0.666761 | − | 0.745272i | \(-0.267680\pi\) | |||||||
\(270\) | 255.919 | − | 253.543i | 0.947849 | − | 0.939049i | ||||
\(271\) | − | 395.831i | − | 1.46063i | −0.683109 | − | 0.730316i | \(-0.739373\pi\) | ||
0.683109 | − | 0.730316i | \(-0.260627\pi\) | |||||||
\(272\) | 12.4990 | − | 12.4990i | 0.0459523 | − | 0.0459523i | ||||
\(273\) | 187.725 | − | 272.365i | 0.687638 | − | 0.997673i | ||||
\(274\) | 257.060i | 0.938174i | ||||||||
\(275\) | −98.1367 | − | 436.762i | −0.356861 | − | 1.58822i | ||||
\(276\) | 27.8811 | + | 8.63047i | 0.101019 | + | 0.0312698i | ||||
\(277\) | −40.6213 | + | 40.6213i | −0.146647 | + | 0.146647i | −0.776618 | − | 0.629971i | \(-0.783067\pi\) |
0.629971 | + | 0.776618i | \(0.283067\pi\) | |||||||
\(278\) | 56.8222 | + | 56.8222i | 0.204397 | + | 0.204397i | ||||
\(279\) | −193.891 | − | 132.756i | −0.694949 | − | 0.475830i | ||||
\(280\) | −68.1031 | + | 45.8587i | −0.243225 | + | 0.163781i | ||||
\(281\) | 284.890i | 1.01384i | 0.861992 | + | 0.506922i | \(0.169217\pi\) | ||||
−0.861992 | + | 0.506922i | \(0.830783\pi\) | |||||||
\(282\) | 55.6426 | − | 29.3374i | 0.197314 | − | 0.104033i | ||||
\(283\) | 102.657 | − | 102.657i | 0.362744 | − | 0.362744i | −0.502078 | − | 0.864822i | \(-0.667431\pi\) |
0.864822 | + | 0.502078i | \(0.167431\pi\) | |||||||
\(284\) | −19.8358 | −0.0698444 | ||||||||
\(285\) | 134.242 | − | 90.9986i | 0.471025 | − | 0.319293i | ||||
\(286\) | − | 752.668i | − | 2.63171i | ||||||
\(287\) | 45.8269 | + | 14.3407i | 0.159676 | + | 0.0499676i | ||||
\(288\) | −359.464 | + | 67.2762i | −1.24814 | + | 0.233598i | ||||
\(289\) | 288.111i | 0.996923i | ||||||||
\(290\) | 239.300 | + | 191.497i | 0.825171 | + | 0.660336i | ||||
\(291\) | 45.3606 | + | 14.0412i | 0.155879 | + | 0.0482515i | ||||
\(292\) | 172.773 | + | 172.773i | 0.591689 | + | 0.591689i | ||||
\(293\) | 204.227 | + | 204.227i | 0.697021 | + | 0.697021i | 0.963767 | − | 0.266746i | \(-0.0859483\pi\) |
−0.266746 | + | 0.963767i | \(0.585948\pi\) | |||||||
\(294\) | −241.760 | − | 308.914i | −0.822314 | − | 1.05073i | ||||
\(295\) | 55.0844 | + | 496.423i | 0.186727 | + | 1.68279i | ||||
\(296\) | 138.228i | 0.466987i | ||||||||
\(297\) | −480.260 | − | 55.5594i | −1.61704 | − | 0.187069i | ||||
\(298\) | 174.471 | + | 174.471i | 0.585472 | + | 0.585472i | ||||
\(299\) | 49.1033i | 0.164225i | ||||||||
\(300\) | 151.904 | + | 178.083i | 0.506345 | + | 0.593611i | ||||
\(301\) | 173.011 | + | 330.611i | 0.574789 | + | 1.09838i | ||||
\(302\) | 23.1493 | + | 23.1493i | 0.0766534 | + | 0.0766534i | ||||
\(303\) | −31.6374 | + | 16.6808i | −0.104414 | + | 0.0550520i | ||||
\(304\) | −202.653 | −0.666621 | ||||||||
\(305\) | −24.6360 | − | 222.021i | −0.0807738 | − | 0.727938i | ||||
\(306\) | −12.7958 | + | 18.6882i | −0.0418162 | + | 0.0610725i | ||||
\(307\) | 209.811 | + | 209.811i | 0.683425 | + | 0.683425i | 0.960770 | − | 0.277345i | \(-0.0894547\pi\) |
−0.277345 | + | 0.960770i | \(0.589455\pi\) | |||||||
\(308\) | −373.331 | − | 116.827i | −1.21211 | − | 0.379309i | ||||
\(309\) | −30.6546 | + | 99.0310i | −0.0992058 | + | 0.320489i | ||||
\(310\) | 217.662 | − | 271.996i | 0.702137 | − | 0.877407i | ||||
\(311\) | −414.961 | −1.33428 | −0.667141 | − | 0.744932i | \(-0.732482\pi\) | ||||
−0.667141 | + | 0.744932i | \(0.732482\pi\) | |||||||
\(312\) | −51.7016 | − | 98.0593i | −0.165710 | − | 0.314293i | ||||
\(313\) | 6.05318 | − | 6.05318i | 0.0193392 | − | 0.0193392i | −0.697371 | − | 0.716710i | \(-0.745647\pi\) |
0.716710 | + | 0.697371i | \(0.245647\pi\) | |||||||
\(314\) | 241.265i | 0.768359i | ||||||||
\(315\) | 224.458 | − | 221.005i | 0.712566 | − | 0.701605i | ||||
\(316\) | −186.579 | −0.590439 | ||||||||
\(317\) | 255.502 | + | 255.502i | 0.805999 | + | 0.805999i | 0.984026 | − | 0.178027i | \(-0.0569714\pi\) |
−0.178027 | + | 0.984026i | \(0.556971\pi\) | |||||||
\(318\) | 325.035 | − | 171.374i | 1.02212 | − | 0.538911i | ||||
\(319\) | − | 411.317i | − | 1.28939i | ||||||
\(320\) | −18.4495 | − | 166.268i | −0.0576547 | − | 0.519588i | ||||
\(321\) | 149.453 | + | 46.2625i | 0.465586 | + | 0.144120i | ||||
\(322\) | 55.5719 | + | 17.3902i | 0.172583 | + | 0.0540069i | ||||
\(323\) | −7.20984 | + | 7.20984i | −0.0223215 | + | 0.0223215i | ||||
\(324\) | 235.684 | − | 91.4223i | 0.727421 | − | 0.282168i | ||||
\(325\) | −210.640 | + | 332.730i | −0.648122 | + | 1.02378i | ||||
\(326\) | 38.8446i | 0.119155i | ||||||||
\(327\) | 75.2872 | + | 142.793i | 0.230236 | + | 0.436675i | ||||
\(328\) | 11.3786 | − | 11.3786i | 0.0346909 | − | 0.0346909i | ||||
\(329\) | 48.7327 | − | 25.5022i | 0.148124 | − | 0.0775144i | ||||
\(330\) | 135.137 | − | 703.881i | 0.409506 | − | 2.13297i | ||||
\(331\) | 148.520 | 0.448702 | 0.224351 | − | 0.974508i | \(-0.427974\pi\) | ||||
0.224351 | + | 0.974508i | \(0.427974\pi\) | |||||||
\(332\) | −131.824 | + | 131.824i | −0.397059 | + | 0.397059i | ||||
\(333\) | −97.5603 | − | 521.275i | −0.292974 | − | 1.56539i | ||||
\(334\) | −217.868 | −0.652299 | ||||||||
\(335\) | 79.6308 | − | 99.5085i | 0.237704 | − | 0.297040i | ||||
\(336\) | −387.118 | + | 71.2155i | −1.15214 | + | 0.211951i | ||||
\(337\) | 225.218 | − | 225.218i | 0.668303 | − | 0.668303i | −0.289020 | − | 0.957323i | \(-0.593329\pi\) |
0.957323 | + | 0.289020i | \(0.0933294\pi\) | |||||||
\(338\) | −149.303 | + | 149.303i | −0.441725 | + | 0.441725i | ||||
\(339\) | −104.801 | + | 338.564i | −0.309147 | + | 0.998714i | ||||
\(340\) | −11.4900 | − | 9.19476i | −0.0337941 | − | 0.0270434i | ||||
\(341\) | −467.517 | −1.37102 | ||||||||
\(342\) | 255.232 | − | 47.7685i | 0.746293 | − | 0.139674i | ||||
\(343\) | −210.559 | − | 270.765i | −0.613876 | − | 0.789402i | ||||
\(344\) | 125.047 | 0.363510 | ||||||||
\(345\) | −8.81620 | + | 45.9205i | −0.0255542 | + | 0.133103i | ||||
\(346\) | 675.934i | 1.95357i | ||||||||
\(347\) | 81.8789 | + | 81.8789i | 0.235962 | + | 0.235962i | 0.815176 | − | 0.579214i | \(-0.196640\pi\) |
−0.579214 | + | 0.815176i | \(0.696640\pi\) | |||||||
\(348\) | 100.307 | + | 190.247i | 0.288239 | + | 0.546686i | ||||
\(349\) | −356.670 | −1.02198 | −0.510989 | − | 0.859587i | \(-0.670721\pi\) | ||||
−0.510989 | + | 0.859587i | \(0.670721\pi\) | |||||||
\(350\) | 301.963 | + | 356.226i | 0.862750 | + | 1.01779i | ||||
\(351\) | 264.182 | + | 333.303i | 0.752656 | + | 0.949582i | ||||
\(352\) | −514.486 | + | 514.486i | −1.46161 | + | 1.46161i | ||||
\(353\) | −305.766 | − | 305.766i | −0.866191 | − | 0.866191i | 0.125857 | − | 0.992048i | \(-0.459832\pi\) |
−0.992048 | + | 0.125857i | \(0.959832\pi\) | |||||||
\(354\) | −236.474 | + | 763.940i | −0.668006 | + | 2.15802i | ||||
\(355\) | −3.50474 | − | 31.5849i | −0.00987251 | − | 0.0889716i | ||||
\(356\) | −182.323 | −0.512144 | ||||||||
\(357\) | −11.2390 | + | 16.3063i | −0.0314817 | + | 0.0456759i | ||||
\(358\) | −581.009 | − | 581.009i | −1.62293 | − | 1.62293i | ||||
\(359\) | −356.776 | −0.993806 | −0.496903 | − | 0.867806i | \(-0.665530\pi\) | ||||
−0.496903 | + | 0.867806i | \(0.665530\pi\) | |||||||
\(360\) | −30.7444 | − | 100.986i | −0.0854010 | − | 0.280516i | ||||
\(361\) | −244.103 | −0.676187 | ||||||||
\(362\) | −235.803 | + | 235.803i | −0.651390 | + | 0.651390i | ||||
\(363\) | −529.756 | + | 279.313i | −1.45938 | + | 0.769456i | ||||
\(364\) | 159.557 | + | 304.900i | 0.438342 | + | 0.837637i | ||||
\(365\) | −244.583 | + | 305.637i | −0.670090 | + | 0.837361i | ||||
\(366\) | 105.761 | − | 341.666i | 0.288965 | − | 0.933514i | ||||
\(367\) | 185.321 | + | 185.321i | 0.504963 | + | 0.504963i | 0.912976 | − | 0.408013i | \(-0.133778\pi\) |
−0.408013 | + | 0.912976i | \(0.633778\pi\) | |||||||
\(368\) | 41.3154 | − | 41.3154i | 0.112270 | − | 0.112270i | ||||
\(369\) | −34.8792 | + | 50.9411i | −0.0945237 | + | 0.138052i | ||||
\(370\) | 781.414 | − | 86.7076i | 2.11193 | − | 0.234345i | ||||
\(371\) | 284.671 | − | 148.971i | 0.767307 | − | 0.401538i | ||||
\(372\) | 216.241 | − | 114.013i | 0.581293 | − | 0.306485i | ||||
\(373\) | −231.949 | − | 231.949i | −0.621848 | − | 0.621848i | 0.324155 | − | 0.946004i | \(-0.394920\pi\) |
−0.946004 | + | 0.324155i | \(0.894920\pi\) | |||||||
\(374\) | 45.0617i | 0.120486i | ||||||||
\(375\) | −256.726 | + | 273.344i | −0.684602 | + | 0.728917i | ||||
\(376\) | − | 18.4322i | − | 0.0490219i | ||||||
\(377\) | −255.857 | + | 255.857i | −0.678666 | + | 0.678666i | ||||
\(378\) | 470.772 | − | 180.943i | 1.24543 | − | 0.478685i | ||||
\(379\) | 33.7232i | 0.0889794i | 0.999010 | + | 0.0444897i | \(0.0141662\pi\) | ||||
−0.999010 | + | 0.0444897i | \(0.985834\pi\) | |||||||
\(380\) | 18.6068 | + | 167.686i | 0.0489654 | + | 0.441278i | ||||
\(381\) | 185.286 | − | 598.575i | 0.486315 | − | 1.57106i | ||||
\(382\) | −226.871 | + | 226.871i | −0.593904 | + | 0.593904i | ||||
\(383\) | 353.025 | + | 353.025i | 0.921735 | + | 0.921735i | 0.997152 | − | 0.0754169i | \(-0.0240288\pi\) |
−0.0754169 | + | 0.997152i | \(0.524029\pi\) | |||||||
\(384\) | −64.9838 | + | 209.933i | −0.169229 | + | 0.546701i | ||||
\(385\) | 120.063 | − | 615.104i | 0.311852 | − | 1.59767i | ||||
\(386\) | 48.5501i | 0.125777i | ||||||||
\(387\) | −471.569 | + | 88.2574i | −1.21852 | + | 0.228055i | ||||
\(388\) | −34.9297 | + | 34.9297i | −0.0900250 | + | 0.0900250i | ||||
\(389\) | −222.963 | −0.573170 | −0.286585 | − | 0.958055i | \(-0.592520\pi\) | ||||
−0.286585 | + | 0.958055i | \(0.592520\pi\) | |||||||
\(390\) | −521.906 | + | 353.783i | −1.33822 | + | 0.907137i | ||||
\(391\) | − | 2.93978i | − | 0.00751862i | ||||||
\(392\) | −113.112 | + | 20.4476i | −0.288551 | + | 0.0521623i | ||||
\(393\) | 348.366 | − | 183.675i | 0.886429 | − | 0.467367i | ||||
\(394\) | − | 29.5127i | − | 0.0749054i | ||||||
\(395\) | −32.9661 | − | 297.093i | −0.0834586 | − | 0.752133i | ||||
\(396\) | 284.145 | − | 414.994i | 0.717539 | − | 1.04797i | ||||
\(397\) | −518.609 | − | 518.609i | −1.30632 | − | 1.30632i | −0.924051 | − | 0.382270i | \(-0.875143\pi\) |
−0.382270 | − | 0.924051i | \(-0.624857\pi\) | |||||||
\(398\) | −568.264 | − | 568.264i | −1.42780 | − | 1.42780i | ||||
\(399\) | 223.302 | − | 41.0794i | 0.559654 | − | 0.102956i | ||||
\(400\) | 457.190 | − | 102.727i | 1.14297 | − | 0.256817i | ||||
\(401\) | 333.028i | 0.830494i | 0.909709 | + | 0.415247i | \(0.136305\pi\) | ||||
−0.909709 | + | 0.415247i | \(0.863695\pi\) | |||||||
\(402\) | 180.505 | − | 95.1707i | 0.449017 | − | 0.236743i | ||||
\(403\) | 290.816 | + | 290.816i | 0.721628 | + | 0.721628i | ||||
\(404\) | − | 37.2072i | − | 0.0920969i | ||||||
\(405\) | 187.216 | + | 359.131i | 0.462261 | + | 0.886744i | ||||
\(406\) | 198.949 | + | 380.175i | 0.490022 | + | 0.936392i | ||||
\(407\) | −746.079 | − | 746.079i | −1.83312 | − | 1.83312i | ||||
\(408\) | 3.09534 | + | 5.87074i | 0.00758661 | + | 0.0143891i | ||||
\(409\) | 634.549 | 1.55146 | 0.775732 | − | 0.631062i | \(-0.217381\pi\) | ||||
0.775732 | + | 0.631062i | \(0.217381\pi\) | |||||||
\(410\) | −71.4618 | − | 57.1866i | −0.174297 | − | 0.139480i | ||||
\(411\) | −276.069 | − | 85.4559i | −0.671701 | − | 0.207922i | ||||
\(412\) | −76.2583 | − | 76.2583i | −0.185093 | − | 0.185093i | ||||
\(413\) | −208.834 | + | 667.346i | −0.505651 | + | 1.61585i | ||||
\(414\) | −42.2962 | + | 61.7736i | −0.102165 | + | 0.149212i | ||||
\(415\) | −233.197 | − | 186.614i | −0.561920 | − | 0.449671i | ||||
\(416\) | 640.065 | 1.53862 | ||||||||
\(417\) | −79.9140 | + | 42.1345i | −0.191640 | + | 0.101042i | ||||
\(418\) | 365.303 | − | 365.303i | 0.873931 | − | 0.873931i | ||||
\(419\) | − | 415.098i | − | 0.990687i | −0.868697 | − | 0.495343i | \(-0.835042\pi\) | ||
0.868697 | − | 0.495343i | \(-0.164958\pi\) | |||||||
\(420\) | 94.4714 | + | 313.784i | 0.224932 | + | 0.747104i | ||||
\(421\) | 425.874 | 1.01158 | 0.505789 | − | 0.862657i | \(-0.331201\pi\) | ||||
0.505789 | + | 0.862657i | \(0.331201\pi\) | |||||||
\(422\) | 686.093 | + | 686.093i | 1.62581 | + | 1.62581i | ||||
\(423\) | 13.0093 | + | 69.5102i | 0.0307549 | + | 0.164327i | ||||
\(424\) | − | 107.671i | − | 0.253942i | ||||||
\(425\) | 12.6108 | − | 19.9203i | 0.0296726 | − | 0.0468713i | ||||
\(426\) | 15.0457 | − | 48.6057i | 0.0353185 | − | 0.114098i | ||||
\(427\) | 93.3992 | − | 298.465i | 0.218733 | − | 0.698981i | ||||
\(428\) | −115.086 | + | 115.086i | −0.268892 | + | 0.268892i | ||||
\(429\) | 808.327 | + | 250.214i | 1.88421 | + | 0.583249i | ||||
\(430\) | −78.4396 | − | 706.902i | −0.182418 | − | 1.64396i | ||||
\(431\) | − | 217.914i | − | 0.505600i | −0.967519 | − | 0.252800i | \(-0.918649\pi\) | ||
0.967519 | − | 0.252800i | \(-0.0813514\pi\) | |||||||
\(432\) | 58.1580 | − | 502.723i | 0.134625 | − | 1.16371i | ||||
\(433\) | 377.736 | − | 377.736i | 0.872369 | − | 0.872369i | −0.120361 | − | 0.992730i | \(-0.538405\pi\) |
0.992730 | + | 0.120361i | \(0.0384052\pi\) | |||||||
\(434\) | 432.120 | − | 226.132i | 0.995668 | − | 0.521041i | ||||
\(435\) | −285.210 | + | 193.335i | −0.655656 | + | 0.444449i | ||||
\(436\) | −167.931 | −0.385163 | ||||||||
\(437\) | −23.8320 | + | 23.8320i | −0.0545355 | + | 0.0545355i | ||||
\(438\) | −554.414 | + | 292.313i | −1.26579 | + | 0.667382i | ||||
\(439\) | 18.8677 | 0.0429789 | 0.0214894 | − | 0.999769i | \(-0.493159\pi\) | ||||
0.0214894 | + | 0.999769i | \(0.493159\pi\) | |||||||
\(440\) | −163.981 | − | 131.224i | −0.372683 | − | 0.298236i | ||||
\(441\) | 412.128 | − | 156.944i | 0.934531 | − | 0.355882i | ||||
\(442\) | 28.0303 | − | 28.0303i | 0.0634171 | − | 0.0634171i | ||||
\(443\) | 484.487 | − | 484.487i | 1.09365 | − | 1.09365i | 0.0985149 | − | 0.995136i | \(-0.468591\pi\) |
0.995136 | − | 0.0985149i | \(-0.0314092\pi\) | |||||||
\(444\) | 527.030 | + | 163.140i | 1.18700 | + | 0.367431i | ||||
\(445\) | −32.2143 | − | 290.317i | −0.0723916 | − | 0.652397i | ||||
\(446\) | 79.8812 | 0.179106 | ||||||||
\(447\) | −245.373 | + | 129.372i | −0.548933 | + | 0.289424i | ||||
\(448\) | 69.9451 | − | 223.515i | 0.156127 | − | 0.498918i | ||||
\(449\) | 801.204 | 1.78442 | 0.892209 | − | 0.451623i | \(-0.149155\pi\) | ||||
0.892209 | + | 0.451623i | \(0.149155\pi\) | |||||||
\(450\) | −551.596 | + | 237.147i | −1.22577 | + | 0.526993i | ||||
\(451\) | 122.831i | 0.272353i | ||||||||
\(452\) | −260.709 | − | 260.709i | −0.576791 | − | 0.576791i | ||||
\(453\) | −32.5569 | + | 17.1655i | −0.0718695 | + | 0.0378930i | ||||
\(454\) | −720.652 | −1.58734 | ||||||||
\(455\) | −457.306 | + | 307.937i | −1.00507 | + | 0.676784i | ||||
\(456\) | 22.4995 | − | 72.6856i | 0.0493410 | − | 0.159398i | ||||
\(457\) | −407.879 | + | 407.879i | −0.892515 | + | 0.892515i | −0.994759 | − | 0.102244i | \(-0.967398\pi\) |
0.102244 | + | 0.994759i | \(0.467398\pi\) | |||||||
\(458\) | −158.808 | − | 158.808i | −0.346743 | − | 0.346743i | ||||
\(459\) | −15.8164 | − | 19.9546i | −0.0344584 | − | 0.0434741i | ||||
\(460\) | −37.9800 | − | 30.3932i | −0.0825653 | − | 0.0660721i | ||||
\(461\) | 627.296 | 1.36073 | 0.680365 | − | 0.732874i | \(-0.261821\pi\) | ||||
0.680365 | + | 0.732874i | \(0.261821\pi\) | |||||||
\(462\) | 569.449 | − | 826.196i | 1.23257 | − | 1.78830i | ||||
\(463\) | 576.012 | + | 576.012i | 1.24409 | + | 1.24409i | 0.958290 | + | 0.285797i | \(0.0922584\pi\) |
0.285797 | + | 0.958290i | \(0.407742\pi\) | |||||||
\(464\) | 430.555 | 0.927920 | ||||||||
\(465\) | 219.751 | + | 324.180i | 0.472584 | + | 0.697161i | ||||
\(466\) | −858.417 | −1.84210 | ||||||||
\(467\) | 239.537 | − | 239.537i | 0.512928 | − | 0.512928i | −0.402495 | − | 0.915422i | \(-0.631857\pi\) |
0.915422 | + | 0.402495i | \(0.131857\pi\) | |||||||
\(468\) | −434.895 | + | 81.3938i | −0.929264 | + | 0.173918i | ||||
\(469\) | 158.089 | − | 82.7293i | 0.337077 | − | 0.176395i | ||||
\(470\) | −104.199 | + | 11.5622i | −0.221700 | + | 0.0246003i | ||||
\(471\) | −259.106 | − | 80.2051i | −0.550119 | − | 0.170287i | ||||
\(472\) | 165.699 | + | 165.699i | 0.351058 | + | 0.351058i | ||||
\(473\) | −674.937 | + | 674.937i | −1.42693 | + | 1.42693i | ||||
\(474\) | 141.522 | − | 457.193i | 0.298569 | − | 0.964542i | ||||
\(475\) | −263.722 | + | 59.2560i | −0.555203 | + | 0.124749i | ||||
\(476\) | −9.55254 | − | 18.2541i | −0.0200684 | − | 0.0383490i | ||||
\(477\) | 75.9936 | + | 406.042i | 0.159316 | + | 0.851241i | ||||
\(478\) | 36.0122 | + | 36.0122i | 0.0753393 | + | 0.0753393i | ||||
\(479\) | 868.698i | 1.81357i | 0.421598 | + | 0.906783i | \(0.361469\pi\) | ||||
−0.421598 | + | 0.906783i | \(0.638531\pi\) | |||||||
\(480\) | 598.577 | + | 114.920i | 1.24704 | + | 0.239416i | ||||
\(481\) | 928.188i | 1.92970i | ||||||||
\(482\) | 651.785 | − | 651.785i | 1.35225 | − | 1.35225i | ||||
\(483\) | −37.1503 | + | 53.9002i | −0.0769157 | + | 0.111595i | ||||
\(484\) | − | 623.019i | − | 1.28723i | ||||||
\(485\) | −61.7909 | − | 49.4476i | −0.127404 | − | 0.101954i | ||||
\(486\) | 45.2524 | + | 646.866i | 0.0931119 | + | 1.33100i | ||||
\(487\) | 1.87718 | − | 1.87718i | 0.00385458 | − | 0.00385458i | −0.705177 | − | 0.709031i | \(-0.749132\pi\) |
0.709031 | + | 0.705177i | \(0.249132\pi\) | |||||||
\(488\) | −74.1076 | − | 74.1076i | −0.151860 | − | 0.151860i | ||||
\(489\) | −41.7171 | − | 12.9133i | −0.0853111 | − | 0.0264077i | ||||
\(490\) | 186.545 | + | 626.605i | 0.380704 | + | 1.27879i | ||||
\(491\) | − | 125.302i | − | 0.255198i | −0.991826 | − | 0.127599i | \(-0.959273\pi\) | ||
0.991826 | − | 0.127599i | \(-0.0407270\pi\) | |||||||
\(492\) | −29.9546 | − | 56.8132i | −0.0608834 | − | 0.115474i | ||||
\(493\) | 15.3180 | − | 15.3180i | 0.0310710 | − | 0.0310710i | ||||
\(494\) | −454.469 | −0.919978 | ||||||||
\(495\) | 711.008 | + | 379.126i | 1.43638 | + | 0.765910i | ||||
\(496\) | − | 489.383i | − | 0.986660i | ||||||
\(497\) | 13.2870 | − | 42.4599i | 0.0267345 | − | 0.0854323i | ||||
\(498\) | −223.031 | − | 423.011i | −0.447854 | − | 0.849419i | ||||
\(499\) | − | 426.549i | − | 0.854807i | −0.904061 | − | 0.427403i | \(-0.859428\pi\) | ||
0.904061 | − | 0.427403i | \(-0.140572\pi\) | |||||||
\(500\) | −126.979 | − | 368.871i | −0.253958 | − | 0.737743i | ||||
\(501\) | 72.4271 | − | 233.979i | 0.144565 | − | 0.467024i | ||||
\(502\) | 479.160 | + | 479.160i | 0.954502 | + | 0.954502i | ||||
\(503\) | 606.100 | + | 606.100i | 1.20497 | + | 1.20497i | 0.972636 | + | 0.232335i | \(0.0746364\pi\) |
0.232335 | + | 0.972636i | \(0.425364\pi\) | |||||||
\(504\) | 17.4368 | − | 146.755i | 0.0345969 | − | 0.291180i | ||||
\(505\) | 59.2456 | − | 6.57404i | 0.117318 | − | 0.0130179i | ||||
\(506\) | 148.951i | 0.294369i | ||||||||
\(507\) | −110.710 | − | 209.978i | −0.218363 | − | 0.414157i | ||||
\(508\) | 460.929 | + | 460.929i | 0.907341 | + | 0.907341i | ||||
\(509\) | − | 3.90604i | − | 0.00767394i | −0.999993 | − | 0.00383697i | \(-0.998779\pi\) | ||
0.999993 | − | 0.00383697i | \(-0.00122135\pi\) | |||||||
\(510\) | 31.2461 | − | 21.1808i | 0.0612669 | − | 0.0415309i | ||||
\(511\) | −485.565 | + | 254.100i | −0.950225 | + | 0.497260i | ||||
\(512\) | −414.186 | − | 414.186i | −0.808956 | − | 0.808956i | ||||
\(513\) | −33.5474 | + | 289.986i | −0.0653945 | + | 0.565276i | ||||
\(514\) | −1116.89 | −2.17293 | ||||||||
\(515\) | 107.954 | − | 134.901i | 0.209619 | − | 0.261944i | ||||
\(516\) | 147.583 | − | 476.775i | 0.286014 | − | 0.923982i | ||||
\(517\) | 99.4871 | + | 99.4871i | 0.192431 | + | 0.192431i | ||||
\(518\) | 1050.46 | + | 328.723i | 2.02792 | + | 0.634600i | ||||
\(519\) | −725.919 | − | 224.705i | −1.39869 | − | 0.432957i | ||||
\(520\) | 20.3761 | + | 183.630i | 0.0391847 | + | 0.353135i | ||||
\(521\) | 556.444 | 1.06803 | 0.534015 | − | 0.845475i | \(-0.320683\pi\) | ||||
0.534015 | + | 0.845475i | \(0.320683\pi\) | |||||||
\(522\) | −542.265 | + | 101.489i | −1.03882 | + | 0.194423i | ||||
\(523\) | −241.019 | + | 241.019i | −0.460839 | + | 0.460839i | −0.898930 | − | 0.438092i | \(-0.855655\pi\) |
0.438092 | + | 0.898930i | \(0.355655\pi\) | |||||||
\(524\) | 409.696i | 0.781862i | ||||||||
\(525\) | −482.952 | + | 205.870i | −0.919908 | + | 0.392134i | ||||
\(526\) | −6.53551 | −0.0124249 | ||||||||
\(527\) | −17.4109 | − | 17.4109i | −0.0330378 | − | 0.0330378i | ||||
\(528\) | −469.595 | − | 890.653i | −0.889384 | − | 1.68684i | ||||
\(529\) | 519.283i | 0.981631i | ||||||||
\(530\) | −608.674 | + | 67.5400i | −1.14844 | + | 0.127434i | ||||
\(531\) | −741.821 | − | 507.923i | −1.39703 | − | 0.956540i | ||||
\(532\) | −70.5415 | + | 225.421i | −0.132597 | + | 0.423724i | ||||
\(533\) | 76.4063 | − | 76.4063i | 0.143351 | − | 0.143351i | ||||
\(534\) | 138.294 | − | 446.765i | 0.258978 | − | 0.836639i | ||||
\(535\) | −203.587 | − | 162.919i | −0.380537 | − | 0.304521i | ||||
\(536\) | − | 59.7942i | − | 0.111556i | ||||||
\(537\) | 817.122 | − | 430.826i | 1.52164 | − | 0.802283i | ||||
\(538\) | −756.572 | + | 756.572i | −1.40627 | + | 1.40627i | ||||
\(539\) | 500.153 | − | 720.883i | 0.927927 | − | 1.33744i | ||||
\(540\) | −421.320 | − | 1.96491i | −0.780222 | − | 0.00363873i | ||||
\(541\) | 255.515 | 0.472302 | 0.236151 | − | 0.971716i | \(-0.424114\pi\) | ||||
0.236151 | + | 0.971716i | \(0.424114\pi\) | |||||||
\(542\) | −746.901 | + | 746.901i | −1.37805 | + | 1.37805i | ||||
\(543\) | −174.851 | − | 331.630i | −0.322010 | − | 0.610737i | ||||
\(544\) | −38.3203 | −0.0704416 | ||||||||
\(545\) | −29.6714 | − | 267.400i | −0.0544429 | − | 0.490642i | ||||
\(546\) | −868.152 | + | 159.708i | −1.59002 | + | 0.292506i | ||||
\(547\) | −80.6313 | + | 80.6313i | −0.147406 | + | 0.147406i | −0.776958 | − | 0.629552i | \(-0.783238\pi\) |
0.629552 | + | 0.776958i | \(0.283238\pi\) | |||||||
\(548\) | 212.586 | − | 212.586i | 0.387930 | − | 0.387930i | ||||
\(549\) | 331.773 | + | 227.164i | 0.604323 | + | 0.413778i | ||||
\(550\) | −638.958 | + | 1009.31i | −1.16174 | + | 1.83511i | ||||
\(551\) | −248.358 | −0.450740 | ||||||||
\(552\) | 10.2316 | + | 19.4057i | 0.0185355 | + | 0.0351552i | ||||
\(553\) | 124.980 | − | 399.384i | 0.226004 | − | 0.722213i | ||||
\(554\) | 153.298 | 0.276711 | ||||||||
\(555\) | −166.650 | + | 868.024i | −0.300271 | + | 1.56401i | ||||
\(556\) | − | 93.9827i | − | 0.169034i | ||||||
\(557\) | −452.948 | − | 452.948i | −0.813192 | − | 0.813192i | 0.171919 | − | 0.985111i | \(-0.445003\pi\) |
−0.985111 | + | 0.171919i | \(0.945003\pi\) | |||||||
\(558\) | 115.356 | + | 616.357i | 0.206730 | + | 1.10458i | ||||
\(559\) | 839.680 | 1.50211 | ||||||||
\(560\) | 643.873 | + | 125.679i | 1.14977 | + | 0.224426i | ||||
\(561\) | −48.3940 | − | 14.9801i | −0.0862638 | − | 0.0267025i | ||||
\(562\) | 537.564 | − | 537.564i | 0.956520 | − | 0.956520i | ||||
\(563\) | −534.797 | − | 534.797i | −0.949906 | − | 0.949906i | 0.0488978 | − | 0.998804i | \(-0.484429\pi\) |
−0.998804 | + | 0.0488978i | \(0.984429\pi\) | |||||||
\(564\) | −70.2776 | − | 21.7541i | −0.124606 | − | 0.0385711i | ||||
\(565\) | 369.068 | − | 461.196i | 0.653218 | − | 0.816277i | ||||
\(566\) | −387.409 | −0.684468 | ||||||||
\(567\) | 37.8220 | + | 565.737i | 0.0667054 | + | 0.997773i | ||||
\(568\) | −10.5426 | − | 10.5426i | −0.0185609 | − | 0.0185609i | ||||
\(569\) | −527.903 | −0.927773 | −0.463886 | − | 0.885895i | \(-0.653545\pi\) | ||||
−0.463886 | + | 0.885895i | \(0.653545\pi\) | |||||||
\(570\) | −425.011 | − | 81.5972i | −0.745633 | − | 0.143153i | ||||
\(571\) | 249.965 | 0.437767 | 0.218884 | − | 0.975751i | \(-0.429759\pi\) | ||||
0.218884 | + | 0.975751i | \(0.429759\pi\) | |||||||
\(572\) | −622.448 | + | 622.448i | −1.08820 | + | 1.08820i | ||||
\(573\) | −168.228 | − | 319.069i | −0.293592 | − | 0.556839i | ||||
\(574\) | −59.4118 | − | 113.531i | −0.103505 | − | 0.197790i | ||||
\(575\) | 41.6850 | − | 65.8464i | 0.0724956 | − | 0.114515i | ||||
\(576\) | 248.460 | + | 170.120i | 0.431353 | + | 0.295346i | ||||
\(577\) | −63.8107 | − | 63.8107i | −0.110590 | − | 0.110590i | 0.649646 | − | 0.760237i | \(-0.274917\pi\) |
−0.760237 | + | 0.649646i | \(0.774917\pi\) | |||||||
\(578\) | 543.641 | − | 543.641i | 0.940556 | − | 0.940556i | ||||
\(579\) | −52.1404 | − | 16.1398i | −0.0900524 | − | 0.0278753i | ||||
\(580\) | −39.5320 | − | 356.264i | −0.0681586 | − | 0.614249i | ||||
\(581\) | −193.875 | − | 370.480i | −0.333692 | − | 0.637658i | ||||
\(582\) | −59.0973 | − | 112.086i | −0.101542 | − | 0.192588i | ||||
\(583\) | 581.151 | + | 581.151i | 0.996828 | + | 0.996828i | ||||
\(584\) | 183.656i | 0.314479i | ||||||||
\(585\) | −206.445 | − | 678.111i | −0.352898 | − | 1.15916i | ||||
\(586\) | − | 770.720i | − | 1.31522i | ||||||
\(587\) | −748.348 | + | 748.348i | −1.27487 | + | 1.27487i | −0.331366 | + | 0.943502i | \(0.607509\pi\) |
−0.943502 | + | 0.331366i | \(0.892491\pi\) | |||||||
\(588\) | −55.5355 | + | 455.402i | −0.0944481 | + | 0.774493i | ||||
\(589\) | 282.292i | 0.479273i | ||||||||
\(590\) | 832.770 | − | 1040.65i | 1.41148 | − | 1.76381i | ||||
\(591\) | 31.6952 | + | 9.81110i | 0.0536298 | + | 0.0166008i | ||||
\(592\) | 780.974 | − | 780.974i | 1.31921 | − | 1.31921i | ||||
\(593\) | 88.6544 | + | 88.6544i | 0.149502 | + | 0.149502i | 0.777895 | − | 0.628394i | \(-0.216287\pi\) |
−0.628394 | + | 0.777895i | \(0.716287\pi\) | |||||||
\(594\) | 801.376 | + | 1011.05i | 1.34912 | + | 1.70210i | ||||
\(595\) | 27.3786 | − | 18.4360i | 0.0460144 | − | 0.0309848i | ||||
\(596\) | − | 288.571i | − | 0.484179i | ||||||
\(597\) | 799.198 | − | 421.375i | 1.33869 | − | 0.705821i | ||||
\(598\) | 92.6540 | − | 92.6540i | 0.154940 | − | 0.154940i | ||||
\(599\) | −512.160 | −0.855025 | −0.427512 | − | 0.904009i | \(-0.640610\pi\) | ||||
−0.427512 | + | 0.904009i | \(0.640610\pi\) | |||||||
\(600\) | −13.9144 | + | 175.386i | −0.0231906 | + | 0.292310i | ||||
\(601\) | − | 148.766i | − | 0.247530i | −0.992312 | − | 0.123765i | \(-0.960503\pi\) | ||
0.992312 | − | 0.123765i | \(-0.0394969\pi\) | |||||||
\(602\) | 297.377 | − | 950.294i | 0.493982 | − | 1.57856i | ||||
\(603\) | 42.2023 | + | 225.491i | 0.0699872 | + | 0.373949i | ||||
\(604\) | − | 38.2885i | − | 0.0633915i | ||||||
\(605\) | 992.044 | − | 110.080i | 1.63974 | − | 0.181950i | ||||
\(606\) | 91.1725 | + | 28.2220i | 0.150450 | + | 0.0465710i | ||||
\(607\) | 336.268 | + | 336.268i | 0.553984 | + | 0.553984i | 0.927588 | − | 0.373604i | \(-0.121878\pi\) |
−0.373604 | + | 0.927588i | \(0.621878\pi\) | |||||||
\(608\) | 310.652 | + | 310.652i | 0.510941 | + | 0.510941i | ||||
\(609\) | −474.427 | + | 87.2770i | −0.779026 | + | 0.143312i | ||||
\(610\) | −372.450 | + | 465.422i | −0.610573 | + | 0.762987i | ||||
\(611\) | − | 123.771i | − | 0.202571i | ||||||
\(612\) | 26.0369 | − | 4.87299i | 0.0425439 | − | 0.00796240i | ||||
\(613\) | −289.428 | − | 289.428i | −0.472151 | − | 0.472151i | 0.430459 | − | 0.902610i | \(-0.358352\pi\) |
−0.902610 | + | 0.430459i | \(0.858352\pi\) | |||||||
\(614\) | − | 791.794i | − | 1.28957i | ||||||
\(615\) | 85.1720 | − | 57.7355i | 0.138491 | − | 0.0938788i | ||||
\(616\) | −136.330 | − | 260.516i | −0.221315 | − | 0.422915i | ||||
\(617\) | 759.979 | + | 759.979i | 1.23173 | + | 1.23173i | 0.963298 | + | 0.268434i | \(0.0865062\pi\) |
0.268434 | + | 0.963298i | \(0.413494\pi\) | |||||||
\(618\) | 244.706 | − | 129.021i | 0.395965 | − | 0.208771i | ||||
\(619\) | 509.592 | 0.823251 | 0.411626 | − | 0.911353i | \(-0.364961\pi\) | ||||
0.411626 | + | 0.911353i | \(0.364961\pi\) | |||||||
\(620\) | −404.942 | + | 44.9334i | −0.653133 | + | 0.0724732i | ||||
\(621\) | −52.2810 | − | 65.9598i | −0.0841884 | − | 0.106215i | ||||
\(622\) | 782.998 | + | 782.998i | 1.25884 | + | 1.25884i | ||||
\(623\) | 122.129 | − | 390.275i | 0.196034 | − | 0.626444i | ||||
\(624\) | −261.917 | + | 846.134i | −0.419738 | + | 1.35598i | ||||
\(625\) | 564.925 | − | 267.366i | 0.903880 | − | 0.427786i | ||||
\(626\) | −22.8437 | −0.0364915 | ||||||||
\(627\) | 270.877 | + | 513.757i | 0.432021 | + | 0.819390i | ||||
\(628\) | 199.523 | − | 199.523i | 0.317712 | − | 0.317712i | ||||
\(629\) | − | 55.5699i | − | 0.0883465i | ||||||
\(630\) | −840.554 | − | 6.51546i | −1.33421 | − | 0.0103420i | ||||
\(631\) | −647.514 | −1.02617 | −0.513086 | − | 0.858337i | \(-0.671498\pi\) | ||||
−0.513086 | + | 0.858337i | \(0.671498\pi\) | |||||||
\(632\) | −99.1654 | − | 99.1654i | −0.156907 | − | 0.156907i | ||||
\(633\) | −964.911 | + | 508.747i | −1.52435 | + | 0.803708i | ||||
\(634\) | − | 964.221i | − | 1.52085i | ||||||
\(635\) | −652.506 | + | 815.387i | −1.02757 | + | 1.28407i | ||||
\(636\) | −410.524 | − | 127.076i | −0.645479 | − | 0.199805i | ||||
\(637\) | −759.537 | + | 137.304i | −1.19237 | + | 0.215547i | ||||
\(638\) | −776.122 | + | 776.122i | −1.21649 | + | 1.21649i | ||||
\(639\) | 47.1983 | + | 32.3166i | 0.0738628 | + | 0.0505737i | ||||
\(640\) | 228.848 | − | 285.974i | 0.357575 | − | 0.446834i | ||||
\(641\) | 428.281i | 0.668145i | 0.942547 | + | 0.334072i | \(0.108423\pi\) | ||||
−0.942547 | + | 0.334072i | \(0.891577\pi\) | |||||||
\(642\) | −194.712 | − | 369.300i | −0.303290 | − | 0.575233i | ||||
\(643\) | −251.455 | + | 251.455i | −0.391065 | + | 0.391065i | −0.875067 | − | 0.484002i | \(-0.839183\pi\) |
0.484002 | + | 0.875067i | \(0.339183\pi\) | |||||||
\(644\) | −31.5758 | − | 60.3388i | −0.0490307 | − | 0.0936938i | ||||
\(645\) | 785.253 | + | 150.760i | 1.21745 | + | 0.233736i | ||||
\(646\) | 27.2087 | 0.0421188 | ||||||||
\(647\) | −245.105 | + | 245.105i | −0.378832 | + | 0.378832i | −0.870681 | − | 0.491848i | \(-0.836321\pi\) |
0.491848 | + | 0.870681i | \(0.336321\pi\) | |||||||
\(648\) | 173.855 | + | 76.6743i | 0.268295 | + | 0.118325i | ||||
\(649\) | −1788.71 | −2.75610 | ||||||||
\(650\) | 1025.29 | − | 230.375i | 1.57738 | − | 0.354423i | ||||
\(651\) | 99.2021 | + | 539.249i | 0.152384 | + | 0.828340i | ||||
\(652\) | 32.1241 | − | 32.1241i | 0.0492700 | − | 0.0492700i | ||||
\(653\) | −253.883 | + | 253.883i | −0.388794 | + | 0.388794i | −0.874257 | − | 0.485463i | \(-0.838651\pi\) |
0.485463 | + | 0.874257i | \(0.338651\pi\) | |||||||
\(654\) | 127.378 | − | 411.499i | 0.194767 | − | 0.629203i | ||||
\(655\) | −652.366 | + | 72.3882i | −0.995979 | + | 0.110516i | ||||
\(656\) | −128.576 | −0.196000 | ||||||||
\(657\) | −129.623 | − | 692.588i | −0.197295 | − | 1.05417i | ||||
\(658\) | −140.075 | − | 43.8340i | −0.212880 | − | 0.0666170i | ||||
\(659\) | −508.205 | −0.771176 | −0.385588 | − | 0.922671i | \(-0.626001\pi\) | ||||
−0.385588 | + | 0.922671i | \(0.626001\pi\) | |||||||
\(660\) | −693.858 | + | 470.345i | −1.05130 | + | 0.712644i | ||||
\(661\) | − | 392.220i | − | 0.593373i | −0.954975 | − | 0.296687i | \(-0.904118\pi\) | ||
0.954975 | − | 0.296687i | \(-0.0958817\pi\) | |||||||
\(662\) | −280.246 | − | 280.246i | −0.423332 | − | 0.423332i | ||||
\(663\) | 20.7849 | + | 39.4215i | 0.0313497 | + | 0.0594592i | ||||
\(664\) | −140.127 | −0.211034 | ||||||||
\(665\) | −371.406 | − | 72.4954i | −0.558506 | − | 0.109016i | ||||
\(666\) | −799.515 | + | 1167.69i | −1.20047 | + | 1.75329i | ||||
\(667\) | 50.6334 | − | 50.6334i | 0.0759122 | − | 0.0759122i | ||||
\(668\) | 180.174 | + | 180.174i | 0.269722 | + | 0.269722i | ||||
\(669\) | −26.5554 | + | 85.7884i | −0.0396942 | + | 0.128234i | ||||
\(670\) | −338.021 | + | 37.5077i | −0.504509 | + | 0.0559816i | ||||
\(671\) | 799.984 | 1.19223 | ||||||||
\(672\) | 702.593 | + | 484.257i | 1.04553 | + | 0.720620i | ||||
\(673\) | 335.327 | + | 335.327i | 0.498257 | + | 0.498257i | 0.910895 | − | 0.412638i | \(-0.135393\pi\) |
−0.412638 | + | 0.910895i | \(0.635393\pi\) | |||||||
\(674\) | −849.936 | −1.26103 | ||||||||
\(675\) | −71.3132 | − | 671.222i | −0.105649 | − | 0.994403i | ||||
\(676\) | 246.944 | 0.365302 | ||||||||
\(677\) | 164.817 | − | 164.817i | 0.243452 | − | 0.243452i | −0.574825 | − | 0.818277i | \(-0.694930\pi\) |
0.818277 | + | 0.574825i | \(0.194930\pi\) | |||||||
\(678\) | 836.593 | − | 441.092i | 1.23391 | − | 0.650578i | ||||
\(679\) | −51.3716 | − | 98.1671i | −0.0756578 | − | 0.144576i | ||||
\(680\) | −1.21990 | − | 10.9938i | −0.00179397 | − | 0.0161674i | ||||
\(681\) | 239.571 | − | 773.944i | 0.351793 | − | 1.13648i | ||||
\(682\) | 882.166 | + | 882.166i | 1.29350 | + | 1.29350i | ||||
\(683\) | 707.818 | − | 707.818i | 1.03634 | − | 1.03634i | 0.0370224 | − | 0.999314i | \(-0.488213\pi\) |
0.999314 | − | 0.0370224i | \(-0.0117873\pi\) | |||||||
\(684\) | −250.578 | − | 171.570i | −0.366342 | − | 0.250834i | ||||
\(685\) | 376.065 | + | 300.943i | 0.549000 | + | 0.439332i | ||||
\(686\) | −113.603 | + | 908.220i | −0.165602 | + | 1.32394i | ||||
\(687\) | 223.346 | − | 117.758i | 0.325103 | − | 0.171410i | ||||
\(688\) | −706.505 | − | 706.505i | −1.02690 | − | 1.02690i | ||||
\(689\) | − | 723.002i | − | 1.04935i | ||||||
\(690\) | 103.284 | − | 70.0128i | 0.149687 | − | 0.101468i | ||||
\(691\) | 603.312i | 0.873101i | 0.899680 | + | 0.436550i | \(0.143800\pi\) | ||||
−0.899680 | + | 0.436550i | \(0.856200\pi\) | |||||||
\(692\) | 558.990 | − | 558.990i | 0.807789 | − | 0.807789i | ||||
\(693\) | 697.988 | + | 886.217i | 1.00720 | + | 1.27881i | ||||
\(694\) | − | 308.998i | − | 0.445242i | ||||||
\(695\) | 149.650 | − | 16.6056i | 0.215324 | − | 0.0238929i | ||||
\(696\) | −47.8023 | + | 154.428i | −0.0686815 | + | 0.221879i | ||||
\(697\) | −4.57439 | + | 4.57439i | −0.00656297 | + | 0.00656297i | ||||
\(698\) | 673.008 | + | 673.008i | 0.964195 | + | 0.964195i | ||||
\(699\) | 285.369 | − | 921.896i | 0.408253 | − | 1.31888i | ||||
\(700\) | 44.8752 | − | 544.315i | 0.0641074 | − | 0.777592i | ||||
\(701\) | − | 354.991i | − | 0.506406i | −0.967413 | − | 0.253203i | \(-0.918516\pi\) | ||
0.967413 | − | 0.253203i | \(-0.0814841\pi\) | |||||||
\(702\) | 130.425 | − | 1127.41i | 0.185791 | − | 1.60599i | ||||
\(703\) | −450.491 | + | 450.491i | −0.640812 | + | 0.640812i | ||||
\(704\) | 599.095 | 0.850987 | ||||||||
\(705\) | 22.2223 | − | 115.748i | 0.0315209 | − | 0.164181i | ||||
\(706\) | 1153.91i | 1.63443i | ||||||||
\(707\) | 79.6444 | + | 24.9233i | 0.112651 | + | 0.0352521i | ||||
\(708\) | 827.332 | − | 436.209i | 1.16855 | − | 0.616114i | ||||
\(709\) | − | 637.022i | − | 0.898479i | −0.893411 | − | 0.449240i | \(-0.851695\pi\) | ||
0.893411 | − | 0.449240i | \(-0.148305\pi\) | |||||||
\(710\) | −52.9850 | + | 66.2113i | −0.0746268 | + | 0.0932554i | ||||
\(711\) | 443.955 | + | 303.975i | 0.624409 | + | 0.427531i | ||||
\(712\) | −96.9036 | − | 96.9036i | −0.136101 | − | 0.136101i | ||||
\(713\) | −57.5517 | − | 57.5517i | −0.0807176 | − | 0.0807176i | ||||
\(714\) | 51.9756 | − | 9.56161i | 0.0727950 | − | 0.0133916i | ||||
\(715\) | −1101.11 | − | 881.156i | −1.54002 | − | 1.23239i | ||||
\(716\) | 960.976i | 1.34215i | ||||||||
\(717\) | −50.6470 | + | 26.7035i | −0.0706374 | + | 0.0372434i | ||||
\(718\) | 673.208 | + | 673.208i | 0.937616 | + | 0.937616i | ||||
\(719\) | 435.697i | 0.605976i | 0.952994 | + | 0.302988i | \(0.0979843\pi\) | ||||
−0.952994 | + | 0.302988i | \(0.902016\pi\) | |||||||
\(720\) | −396.858 | + | 744.263i | −0.551191 | + | 1.03370i | ||||
\(721\) | 214.318 | − | 112.154i | 0.297251 | − | 0.155554i | ||||
\(722\) | 460.603 | + | 460.603i | 0.637955 | + | 0.637955i | ||||
\(723\) | 483.307 | + | 916.661i | 0.668475 | + | 1.26786i | ||||
\(724\) | 390.014 | 0.538693 | ||||||||
\(725\) | 560.301 | − | 125.895i | 0.772830 | − | 0.173648i | ||||
\(726\) | 1526.65 | + | 472.566i | 2.10282 | + | 0.650917i | ||||
\(727\) | −757.367 | − | 757.367i | −1.04177 | − | 1.04177i | −0.999089 | − | 0.0426819i | \(-0.986410\pi\) |
−0.0426819 | − | 0.999089i | \(-0.513590\pi\) | |||||||
\(728\) | −77.2490 | + | 246.856i | −0.106111 | + | 0.339087i | ||||
\(729\) | −709.745 | − | 166.443i | −0.973587 | − | 0.228317i | ||||
\(730\) | 1038.22 | − | 115.203i | 1.42222 | − | 0.157813i | ||||
\(731\) | −50.2711 | −0.0687703 | ||||||||
\(732\) | −370.017 | + | 195.091i | −0.505488 | + | 0.266517i | ||||
\(733\) | 672.443 | − | 672.443i | 0.917385 | − | 0.917385i | −0.0794540 | − | 0.996839i | \(-0.525318\pi\) |
0.996839 | + | 0.0794540i | \(0.0253177\pi\) | |||||||
\(734\) | − | 699.372i | − | 0.952823i | ||||||
\(735\) | −734.957 | − | 7.96636i | −0.999941 | − | 0.0108386i | ||||
\(736\) | −126.667 | −0.172102 | ||||||||
\(737\) | 322.736 | + | 322.736i | 0.437906 | + | 0.437906i | ||||
\(738\) | 161.936 | − | 30.3075i | 0.219425 | − | 0.0410670i | ||||
\(739\) | − | 540.207i | − | 0.730997i | −0.930812 | − | 0.365498i | \(-0.880899\pi\) | ||
0.930812 | − | 0.365498i | \(-0.119101\pi\) | |||||||
\(740\) | −717.927 | − | 574.514i | −0.970171 | − | 0.776371i | ||||
\(741\) | 151.082 | − | 488.077i | 0.203889 | − | 0.658673i | ||||
\(742\) | −818.246 | − | 256.055i | −1.10276 | − | 0.345088i | ||||
\(743\) | 164.151 | − | 164.151i | 0.220931 | − | 0.220931i | −0.587960 | − | 0.808890i | \(-0.700069\pi\) |
0.808890 | + | 0.587960i | \(0.200069\pi\) | |||||||
\(744\) | 175.528 | + | 54.3337i | 0.235924 | + | 0.0730292i | ||||
\(745\) | 459.497 | − | 50.9869i | 0.616774 | − | 0.0684388i | ||||
\(746\) | 875.339i | 1.17338i | ||||||||
\(747\) | 528.436 | − | 98.9005i | 0.707411 | − | 0.132397i | ||||
\(748\) | 37.2655 | − | 37.2655i | 0.0498202 | − | 0.0498202i | ||||
\(749\) | −169.258 | − | 323.439i | −0.225979 | − | 0.431827i | ||||
\(750\) | 1000.20 | − | 31.3570i | 1.33360 | − | 0.0418094i | ||||
\(751\) | −12.8996 | −0.0171766 | −0.00858830 | − | 0.999963i | \(-0.502734\pi\) | ||||
−0.00858830 | + | 0.999963i | \(0.502734\pi\) | |||||||
\(752\) | −104.140 | + | 104.140i | −0.138484 | + | 0.138484i | ||||
\(753\) | −673.883 | + | 355.304i | −0.894932 | + | 0.471851i | ||||
\(754\) | 965.563 | 1.28059 | ||||||||
\(755\) | 60.9674 | − | 6.76510i | 0.0807515 | − | 0.00896039i | ||||
\(756\) | −538.961 | − | 239.685i | −0.712911 | − | 0.317044i | ||||
\(757\) | −328.630 | + | 328.630i | −0.434121 | + | 0.434121i | −0.890028 | − | 0.455906i | \(-0.849315\pi\) |
0.455906 | + | 0.890028i | \(0.349315\pi\) | |||||||
\(758\) | 63.6329 | − | 63.6329i | 0.0839484 | − | 0.0839484i | ||||
\(759\) | −159.966 | − | 49.5166i | −0.210759 | − | 0.0652393i | ||||
\(760\) | −79.2345 | + | 99.0133i | −0.104256 | + | 0.130281i | ||||
\(761\) | −984.602 | −1.29383 | −0.646913 | − | 0.762564i | \(-0.723940\pi\) | ||||
−0.646913 | + | 0.762564i | \(0.723940\pi\) | |||||||
\(762\) | −1479.08 | + | 779.842i | −1.94105 | + | 1.02342i | ||||
\(763\) | 112.489 | − | 359.468i | 0.147430 | − | 0.471124i | ||||
\(764\) | 375.240 | 0.491152 | ||||||||
\(765\) | 12.3597 | + | 40.5980i | 0.0161565 | + | 0.0530693i | ||||
\(766\) | − | 1332.26i | − | 1.73924i | ||||||
\(767\) | 1112.65 | + | 1112.65i | 1.45066 | + | 1.45066i | ||||
\(768\) | 873.897 | − | 460.760i | 1.13789 | − | 0.599948i | ||||
\(769\) | −293.762 | −0.382006 | −0.191003 | − | 0.981589i | \(-0.561174\pi\) | ||||
−0.191003 | + | 0.981589i | \(0.561174\pi\) | |||||||
\(770\) | −1387.20 | + | 934.101i | −1.80156 | + | 1.21312i | ||||
\(771\) | 371.293 | − | 1199.48i | 0.481574 | − | 1.55575i | ||||
\(772\) | 40.1504 | − | 40.1504i | 0.0520083 | − | 0.0520083i | ||||
\(773\) | −400.965 | − | 400.965i | −0.518712 | − | 0.518712i | 0.398469 | − | 0.917182i | \(-0.369542\pi\) |
−0.917182 | + | 0.398469i | \(0.869542\pi\) | |||||||
\(774\) | 1056.35 | + | 723.277i | 1.36479 | + | 0.934467i | ||||
\(775\) | −143.097 | − | 636.858i | −0.184641 | − | 0.821752i | ||||
\(776\) | −37.1298 | −0.0478477 | ||||||||
\(777\) | −702.242 | + | 1018.86i | −0.903787 | + | 1.31128i | ||||
\(778\) | 420.713 | + | 420.713i | 0.540763 | + | 0.540763i | ||||
\(779\) | 74.1668 | 0.0952077 | ||||||||
\(780\) | 724.185 | + | 139.035i | 0.928443 | + | 0.178250i | ||||
\(781\) | 113.806 | 0.145719 | ||||||||
\(782\) | −5.54713 | + | 5.54713i | −0.00709351 | + | 0.00709351i | ||||
\(783\) | 71.2746 | − | 616.104i | 0.0910276 | − | 0.786850i | ||||
\(784\) | 754.599 | + | 523.545i | 0.962499 | + | 0.667787i | ||||
\(785\) | 352.958 | + | 282.451i | 0.449628 | + | 0.359810i | ||||
\(786\) | −1003.92 | − | 310.759i | −1.27725 | − | 0.395367i | ||||
\(787\) | −988.607 | − | 988.607i | −1.25617 | − | 1.25617i | −0.952906 | − | 0.303265i | \(-0.901923\pi\) |
−0.303265 | − | 0.952906i | \(-0.598077\pi\) | |||||||
\(788\) | −24.4067 | + | 24.4067i | −0.0309730 | + | 0.0309730i | ||||
\(789\) | 2.17264 | − | 7.01881i | 0.00275366 | − | 0.00889583i | ||||
\(790\) | −498.385 | + | 622.794i | −0.630867 | + | 0.788347i | ||||
\(791\) | 732.702 | − | 383.429i | 0.926299 | − | 0.484740i | ||||
\(792\) | 371.588 | − | 69.5454i | 0.469177 | − | 0.0878098i | ||||
\(793\) | −497.625 | − | 497.625i | −0.627522 | − | 0.627522i | ||||
\(794\) | 1957.15i | 2.46492i | ||||||||
\(795\) | 129.811 | − | 676.138i | 0.163284 | − | 0.850488i | ||||
\(796\) | 939.895i | 1.18077i | ||||||||
\(797\) | 0.660026 | − | 0.660026i | 0.000828138 | − | 0.000828138i | −0.706693 | − | 0.707521i | \(-0.749814\pi\) |
0.707521 | + | 0.706693i | \(0.249814\pi\) | |||||||
\(798\) | −498.866 | − | 343.839i | −0.625146 | − | 0.430877i | ||||
\(799\) | 7.41006i | 0.00927416i | ||||||||
\(800\) | −858.312 | − | 543.367i | −1.07289 | − | 0.679208i | ||||
\(801\) | 433.829 | + | 297.042i | 0.541610 | + | 0.370838i | ||||
\(802\) | 628.397 | − | 628.397i | 0.783538 | − | 0.783538i | ||||
\(803\) | −991.273 | − | 991.273i | −1.23446 | − | 1.23446i | ||||
\(804\) | −227.981 | − | 70.5703i | −0.283558 | − | 0.0877740i | ||||
\(805\) | 90.4995 | − | 60.9398i | 0.112422 | − | 0.0757017i | ||||
\(806\) | − | 1097.49i | − | 1.36165i | ||||||
\(807\) | −561.008 | − | 1064.03i | −0.695178 | − | 1.31850i | ||||
\(808\) | 19.7754 | − | 19.7754i | 0.0244745 | − | 0.0244745i | ||||
\(809\) | −327.649 | −0.405006 | −0.202503 | − | 0.979282i | \(-0.564908\pi\) | ||||
−0.202503 | + | 0.979282i | \(0.564908\pi\) | |||||||
\(810\) | 324.390 | − | 1030.91i | 0.400482 | − | 1.27273i | ||||
\(811\) | 729.399i | 0.899382i | 0.893184 | + | 0.449691i | \(0.148466\pi\) | ||||
−0.893184 | + | 0.449691i | \(0.851534\pi\) | |||||||
\(812\) | 149.872 | − | 478.929i | 0.184572 | − | 0.589814i | ||||
\(813\) | −553.837 | − | 1050.43i | −0.681227 | − | 1.29204i | ||||
\(814\) | 2815.58i | 3.45894i | ||||||||
\(815\) | 56.8276 | + | 45.4758i | 0.0697272 | + | 0.0557985i | ||||
\(816\) | 15.6808 | − | 50.6574i | 0.0192166 | − | 0.0620802i | ||||
\(817\) | 407.534 | + | 407.534i | 0.498818 | + | 0.498818i | ||||
\(818\) | −1197.34 | − | 1197.34i | −1.46374 | − | 1.46374i | ||||
\(819\) | 117.087 | − | 985.444i | 0.142963 | − | 1.20323i | ||||
\(820\) | 11.8054 | + | 106.391i | 0.0143968 | + | 0.129745i | ||||
\(821\) | 413.667i | 0.503858i | 0.967746 | + | 0.251929i | \(0.0810649\pi\) | ||||
−0.967746 | + | 0.251929i | \(0.918935\pi\) | |||||||
\(822\) | 359.672 | + | 682.168i | 0.437557 | + | 0.829888i | ||||
\(823\) | 537.571 | + | 537.571i | 0.653184 | + | 0.653184i | 0.953758 | − | 0.300574i | \(-0.0971783\pi\) |
−0.300574 | + | 0.953758i | \(0.597178\pi\) | |||||||
\(824\) | − | 81.0616i | − | 0.0983757i | ||||||
\(825\) | −871.535 | − | 1021.74i | −1.05641 | − | 1.23847i | ||||
\(826\) | 1653.28 | − | 865.175i | 2.00155 | − | 1.04743i | ||||
\(827\) | −652.909 | − | 652.909i | −0.789491 | − | 0.789491i | 0.191920 | − | 0.981411i | \(-0.438529\pi\) |
−0.981411 | + | 0.191920i | \(0.938529\pi\) | |||||||
\(828\) | 86.0646 | − | 16.1076i | 0.103943 | − | 0.0194536i | ||||
\(829\) | 167.399 | 0.201928 | 0.100964 | − | 0.994890i | \(-0.467807\pi\) | ||||
0.100964 | + | 0.994890i | \(0.467807\pi\) | |||||||
\(830\) | 87.8987 | + | 792.148i | 0.105902 | + | 0.954395i | ||||
\(831\) | −50.9618 | + | 164.634i | −0.0613259 | + | 0.198116i | ||||
\(832\) | −372.663 | − | 372.663i | −0.447913 | − | 0.447913i | ||||
\(833\) | 45.4729 | − | 8.22028i | 0.0545894 | − | 0.00986828i | ||||
\(834\) | 230.295 | + | 71.2869i | 0.276134 | + | 0.0854759i | ||||
\(835\) | −255.060 | + | 318.729i | −0.305461 | + | 0.381712i | ||||
\(836\) | −604.204 | −0.722732 | ||||||||
\(837\) | −700.284 | − | 81.0132i | −0.836660 | − | 0.0967899i | ||||
\(838\) | −783.255 | + | 783.255i | −0.934672 | + | 0.934672i | ||||
\(839\) | 906.507i | 1.08046i | 0.841517 | + | 0.540231i | \(0.181663\pi\) | ||||
−0.841517 | + | 0.540231i | \(0.818337\pi\) | |||||||
\(840\) | −116.563 | + | 216.985i | −0.138766 | + | 0.258316i | ||||
\(841\) | −313.340 | −0.372581 | ||||||||
\(842\) | −803.590 | − | 803.590i | −0.954383 | − | 0.954383i | ||||
\(843\) | 398.611 | + | 756.023i | 0.472848 | + | 0.896824i | ||||
\(844\) | − | 1134.78i | − | 1.34453i | ||||||
\(845\) | 43.6319 | + | 393.213i | 0.0516354 | + | 0.465341i | ||||
\(846\) | 106.612 | − | 155.708i | 0.126020 | − | 0.184051i | ||||
\(847\) | 1333.61 | + | 417.330i | 1.57451 | + | 0.492715i | ||||
\(848\) | −608.332 | + | 608.332i | −0.717373 | + | 0.717373i | ||||
\(849\) | 128.789 | − | 416.058i | 0.151695 | − | 0.490056i | ||||
\(850\) | −61.3836 | + | 13.7924i | −0.0722160 | + | 0.0162263i | ||||
\(851\) | − | 183.686i | − | 0.215847i | ||||||
\(852\) | −52.6390 | + | 27.7538i | −0.0617828 | + | 0.0325749i | ||||
\(853\) | −759.174 | + | 759.174i | −0.890005 | + | 0.890005i | −0.994523 | − | 0.104518i | \(-0.966670\pi\) |
0.104518 | + | 0.994523i | \(0.466670\pi\) | |||||||
\(854\) | −739.415 | + | 386.942i | −0.865826 | + | 0.453094i | ||||
\(855\) | 228.920 | − | 429.315i | 0.267743 | − | 0.502122i | ||||
\(856\) | −122.335 | −0.142914 | ||||||||
\(857\) | −188.854 | + | 188.854i | −0.220366 | + | 0.220366i | −0.808652 | − | 0.588287i | \(-0.799803\pi\) |
0.588287 | + | 0.808652i | \(0.299803\pi\) | |||||||
\(858\) | −1053.11 | − | 1997.38i | −1.22741 | − | 2.32795i | ||||
\(859\) | 997.171 | 1.16085 | 0.580425 | − | 0.814313i | \(-0.302886\pi\) | ||||
0.580425 | + | 0.814313i | \(0.302886\pi\) | |||||||
\(860\) | −519.732 | + | 649.469i | −0.604339 | + | 0.755196i | ||||
\(861\) | 141.678 | − | 26.0634i | 0.164550 | − | 0.0302711i | ||||
\(862\) | −411.185 | + | 411.185i | −0.477013 | + | 0.477013i | ||||
\(863\) | −1003.10 | + | 1003.10i | −1.16234 | + | 1.16234i | −0.178383 | + | 0.983961i | \(0.557087\pi\) |
−0.983961 | + | 0.178383i | \(0.942913\pi\) | |||||||
\(864\) | −859.791 | + | 681.486i | −0.995128 | + | 0.788757i | ||||
\(865\) | 988.857 | + | 791.324i | 1.14319 | + | 0.914825i | ||||
\(866\) | −1425.51 | −1.64609 | ||||||||
\(867\) | 403.117 | + | 764.569i | 0.464957 | + | 0.881856i | ||||
\(868\) | −544.367 | − | 170.350i | −0.627151 | − | 0.196256i | ||||
\(869\) | 1070.48 | 1.23185 | ||||||||
\(870\) | 902.976 | + | 173.361i | 1.03790 | + | 0.199265i | ||||
\(871\) | − | 401.512i | − | 0.460978i | ||||||
\(872\) | −89.2544 | − | 89.2544i | −0.102356 | − | 0.102356i | ||||
\(873\) | 140.021 | − | 26.2060i | 0.160391 | − | 0.0300183i | ||||
\(874\) | 89.9382 | 0.102904 | ||||||||
\(875\) | 874.651 | − | 24.7181i | 0.999601 | − | 0.0282492i | ||||
\(876\) | 700.234 | + | 216.754i | 0.799354 | + | 0.247436i | ||||
\(877\) | −1130.81 | + | 1130.81i | −1.28940 | + | 1.28940i | −0.354252 | + | 0.935150i | \(0.615264\pi\) |
−0.935150 | + | 0.354252i | \(0.884736\pi\) | |||||||
\(878\) | −35.6018 | − | 35.6018i | −0.0405488 | − | 0.0405488i | ||||
\(879\) | 827.715 | + | 256.215i | 0.941655 | + | 0.291485i | ||||
\(880\) | 185.072 | + | 1667.88i | 0.210309 | + | 1.89531i | ||||
\(881\) | 778.866 | 0.884071 | 0.442035 | − | 0.896998i | \(-0.354257\pi\) | ||||
0.442035 | + | 0.896998i | \(0.354257\pi\) | |||||||
\(882\) | −1073.79 | − | 481.511i | −1.21745 | − | 0.545931i | ||||
\(883\) | 311.479 | + | 311.479i | 0.352751 | + | 0.352751i | 0.861132 | − | 0.508381i | \(-0.169756\pi\) |
−0.508381 | + | 0.861132i | \(0.669756\pi\) | |||||||
\(884\) | −46.3616 | −0.0524452 | ||||||||
\(885\) | 840.763 | + | 1240.30i | 0.950014 | + | 1.40147i | ||||
\(886\) | −1828.38 | −2.06363 | ||||||||
\(887\) | 534.557 | − | 534.557i | 0.602657 | − | 0.602657i | −0.338360 | − | 0.941017i | \(-0.609872\pi\) |
0.941017 | + | 0.338360i | \(0.109872\pi\) | |||||||
\(888\) | 193.405 | + | 366.820i | 0.217799 | + | 0.413086i | ||||
\(889\) | −1295.40 | + | 677.895i | −1.45715 | + | 0.762537i | ||||
\(890\) | −487.018 | + | 608.589i | −0.547211 | + | 0.683808i | ||||
\(891\) | −1352.22 | + | 524.528i | −1.51764 | + | 0.588696i | ||||
\(892\) | −66.0609 | − | 66.0609i | −0.0740593 | − | 0.0740593i | ||||
\(893\) | 60.0714 | − | 60.0714i | 0.0672692 | − | 0.0672692i | ||||
\(894\) | 707.114 | + | 218.884i | 0.790956 | + | 0.244837i | ||||
\(895\) | −1530.18 | + | 169.793i | −1.70970 | + | 0.189712i | ||||
\(896\) | 454.326 | − | 237.753i | 0.507061 | − | 0.265349i | ||||
\(897\) | 68.7042 | + | 130.307i | 0.0765933 | + | 0.145270i | ||||
\(898\) | −1511.81 | − | 1511.81i | −1.68353 | − | 1.68353i | ||||
\(899\) | − | 599.756i | − | 0.667137i | ||||||
\(900\) | 652.281 | + | 260.046i | 0.724757 | + | 0.288940i | ||||
\(901\) | 43.2856i | 0.0480418i | ||||||||
\(902\) | 231.772 | − | 231.772i | 0.256954 | − | 0.256954i | ||||
\(903\) | 921.709 | + | 635.280i | 1.02072 | + | 0.703522i | ||||
\(904\) | − | 277.131i | − | 0.306561i | ||||||
\(905\) | 68.9106 | + | 621.026i | 0.0761443 | + | 0.686216i | ||||
\(906\) | 93.8221 | + | 29.0422i | 0.103556 | + | 0.0320554i | ||||
\(907\) | 228.099 | − | 228.099i | 0.251487 | − | 0.251487i | −0.570093 | − | 0.821580i | \(-0.693093\pi\) |
0.821580 | + | 0.570093i | \(0.193093\pi\) | |||||||
\(908\) | 595.971 | + | 595.971i | 0.656356 | + | 0.656356i | ||||
\(909\) | −60.6180 | + | 88.5326i | −0.0666865 | + | 0.0973956i | ||||
\(910\) | 1443.95 | + | 281.847i | 1.58676 | + | 0.309722i | ||||
\(911\) | − | 4.69642i | − | 0.00515524i | −0.999997 | − | 0.00257762i | \(-0.999180\pi\) | ||
0.999997 | − | 0.00257762i | \(-0.000820483\pi\) | |||||||
\(912\) | −537.786 | + | 283.547i | −0.589678 | + | 0.310906i | ||||
\(913\) | 756.328 | − | 756.328i | 0.828399 | − | 0.828399i | ||||
\(914\) | 1539.27 | 1.68410 | ||||||||
\(915\) | −376.024 | − | 554.715i | −0.410955 | − | 0.606246i | ||||
\(916\) | 262.665i | 0.286752i | ||||||||
\(917\) | −876.981 | − | 274.435i | −0.956359 | − | 0.299275i | ||||
\(918\) | −7.80847 | + | 67.4970i | −0.00850596 | + | 0.0735262i | ||||
\(919\) | 920.349i | 1.00147i | 0.865601 | + | 0.500734i | \(0.166937\pi\) | ||||
−0.865601 | + | 0.500734i | \(0.833063\pi\) | |||||||
\(920\) | −4.03237 | − | 36.3399i | −0.00438301 | − | 0.0394999i | ||||
\(921\) | 850.347 | + | 263.221i | 0.923286 | + | 0.285799i | ||||
\(922\) | −1183.66 | − | 1183.66i | −1.28379 | − | 1.28379i | ||||
\(923\) | −70.7926 | − | 70.7926i | −0.0766983 | − | 0.0766983i | ||||
\(924\) | −1154.18 | + | 212.327i | −1.24912 | + | 0.229791i | ||||
\(925\) | 787.961 | − | 1244.68i | 0.851849 | − | 1.34560i | ||||
\(926\) | − | 2173.78i | − | 2.34749i | ||||||
\(927\) | 57.2126 | + | 305.693i | 0.0617181 | + | 0.329766i | ||||
\(928\) | −660.010 | − | 660.010i | −0.711218 | − | 0.711218i | ||||
\(929\) | 1603.42i | 1.72597i | 0.505233 | + | 0.862983i | \(0.331407\pi\) | ||||
−0.505233 | + | 0.862983i | \(0.668593\pi\) | |||||||
\(930\) | 197.048 | − | 1026.35i | 0.211879 | − | 1.10361i | ||||
\(931\) | −435.277 | − | 301.998i | −0.467537 | − | 0.324380i | ||||
\(932\) | 709.901 | + | 709.901i | 0.761697 | + | 0.761697i | ||||
\(933\) | −1101.20 | + | 580.604i | −1.18028 | + | 0.622298i | ||||
\(934\) | −903.974 | −0.967853 | ||||||||
\(935\) | 65.9229 | + | 52.7542i | 0.0705058 | + | 0.0564216i | ||||
\(936\) | −274.404 | − | 187.884i | −0.293167 | − | 0.200731i | ||||
\(937\) | 858.211 | + | 858.211i | 0.915914 | + | 0.915914i | 0.996729 | − | 0.0808153i | \(-0.0257524\pi\) |
−0.0808153 | + | 0.996729i | \(0.525752\pi\) | |||||||
\(938\) | −454.405 | − | 142.198i | −0.484440 | − | 0.151597i | ||||
\(939\) | 7.59407 | − | 24.5330i | 0.00808740 | − | 0.0261267i | ||||
\(940\) | 95.7330 | + | 76.6095i | 0.101844 | + | 0.0814994i | ||||
\(941\) | −1155.36 | −1.22780 | −0.613900 | − | 0.789384i | \(-0.710400\pi\) | ||||
−0.613900 | + | 0.789384i | \(0.710400\pi\) | |||||||
\(942\) | 337.572 | + | 640.253i | 0.358356 | + | 0.679674i | ||||
\(943\) | −15.1206 | + | 15.1206i | −0.0160346 | + | 0.0160346i | ||||
\(944\) | − | 1872.37i | − | 1.98344i | ||||||
\(945\) | 286.428 | − | 900.547i | 0.303098 | − | 0.952959i | ||||
\(946\) | 2547.10 | 2.69250 | ||||||||
\(947\) | 119.546 | + | 119.546i | 0.126236 | + | 0.126236i | 0.767402 | − | 0.641166i | \(-0.221549\pi\) |
−0.641166 | + | 0.767402i | \(0.721549\pi\) | |||||||
\(948\) | −495.130 | + | 261.056i | −0.522289 | + | 0.275376i | ||||
\(949\) | 1233.23i | 1.29950i | ||||||||
\(950\) | 609.432 | + | 385.810i | 0.641508 | + | 0.406115i | ||||
\(951\) | 1035.53 | + | 320.542i | 1.08888 | + | 0.337058i | ||||
\(952\) | 4.62484 | − | 14.7791i | 0.00485803 | − | 0.0155242i | ||||
\(953\) | 567.636 | − | 567.636i | 0.595631 | − | 0.595631i | −0.343516 | − | 0.939147i | \(-0.611618\pi\) |
0.939147 | + | 0.343516i | \(0.111618\pi\) | |||||||
\(954\) | 622.774 | − | 909.561i | 0.652803 | − | 0.953419i | ||||
\(955\) | 66.3003 | + | 597.502i | 0.0694244 | + | 0.625657i | ||||
\(956\) | − | 59.5634i | − | 0.0623048i | ||||||
\(957\) | −575.505 | − | 1091.53i | −0.601363 | − | 1.14057i | ||||
\(958\) | 1639.16 | − | 1639.16i | 1.71102 | − | 1.71102i | ||||
\(959\) | 312.653 | + | 597.454i | 0.326019 | + | 0.622997i | ||||
\(960\) | −281.598 | − | 415.417i | −0.293332 | − | 0.432726i | ||||
\(961\) | 279.297 | 0.290632 | ||||||||
\(962\) | 1751.41 | − | 1751.41i | 1.82060 | − | 1.82060i | ||||
\(963\) | 461.339 | − | 86.3428i | 0.479064 | − | 0.0896602i | ||||
\(964\) | −1078.04 | −1.11830 | ||||||||
\(965\) | 71.0263 | + | 56.8381i | 0.0736024 | + | 0.0588996i | ||||
\(966\) | 171.805 | − | 31.6058i | 0.177852 | − | 0.0327182i | ||||
\(967\) | −102.432 | + | 102.432i | −0.105928 | + | 0.105928i | −0.758084 | − | 0.652157i | \(-0.773864\pi\) |
0.652157 | + | 0.758084i | \(0.273864\pi\) | |||||||
\(968\) | 331.130 | − | 331.130i | 0.342077 | − | 0.342077i | ||||
\(969\) | −9.04517 | + | 29.2208i | −0.00933454 | + | 0.0301556i | ||||
\(970\) | 23.2908 | + | 209.898i | 0.0240111 | + | 0.216390i | ||||
\(971\) | 753.100 | 0.775592 | 0.387796 | − | 0.921745i | \(-0.373236\pi\) | ||||
0.387796 | + | 0.921745i | \(0.373236\pi\) | |||||||
\(972\) | 497.528 | − | 572.374i | 0.511860 | − | 0.588862i | ||||
\(973\) | 201.176 | + | 62.9545i | 0.206759 | + | 0.0647014i | ||||
\(974\) | −7.08418 | −0.00727328 | ||||||||
\(975\) | −93.4336 | + | 1177.70i | −0.0958293 | + | 1.20790i | ||||
\(976\) | 837.400i | 0.857992i | ||||||||
\(977\) | 755.362 | + | 755.362i | 0.773145 | + | 0.773145i | 0.978655 | − | 0.205510i | \(-0.0658854\pi\) |
−0.205510 | + | 0.978655i | \(0.565885\pi\) | |||||||
\(978\) | 54.3504 | + | 103.083i | 0.0555730 | + | 0.105402i | ||||
\(979\) | 1046.07 | 1.06850 | ||||||||
\(980\) | 363.925 | − | 672.466i | 0.371352 | − | 0.686190i | ||||
\(981\) | 399.584 | + | 273.594i | 0.407323 | + | 0.278893i | ||||
\(982\) | −236.435 | + | 236.435i | −0.240769 | + | 0.240769i | ||||
\(983\) | 224.108 | + | 224.108i | 0.227984 | + | 0.227984i | 0.811850 | − | 0.583866i | \(-0.198461\pi\) |
−0.583866 | + | 0.811850i | \(0.698461\pi\) | |||||||
\(984\) | 14.2752 | − | 46.1165i | 0.0145073 | − | 0.0468664i | ||||
\(985\) | −43.1756 | − | 34.5509i | −0.0438331 | − | 0.0350770i | ||||
\(986\) | −57.8076 | −0.0586284 | ||||||||
\(987\) | 93.6416 | − | 135.862i | 0.0948750 | − | 0.137651i | ||||
\(988\) | 375.841 | + | 375.841i | 0.380406 | + | 0.380406i | ||||
\(989\) | −166.170 | −0.168019 | ||||||||
\(990\) | −626.235 | − | 2056.99i | −0.632561 | − | 2.07777i | ||||
\(991\) | −175.163 | −0.176753 | −0.0883767 | − | 0.996087i | \(-0.528168\pi\) | ||||
−0.0883767 | + | 0.996087i | \(0.528168\pi\) | |||||||
\(992\) | −750.190 | + | 750.190i | −0.756240 | + | 0.756240i | ||||
\(993\) | 394.134 | − | 207.806i | 0.396912 | − | 0.209271i | ||||
\(994\) | −105.190 | + | 55.0467i | −0.105825 | + | 0.0553790i | ||||
\(995\) | −1496.61 | + | 166.068i | −1.50413 | + | 0.166902i | ||||
\(996\) | −165.381 | + | 534.270i | −0.166045 | + | 0.536415i | ||||
\(997\) | −265.876 | − | 265.876i | −0.266676 | − | 0.266676i | 0.561084 | − | 0.827759i | \(-0.310385\pi\) |
−0.827759 | + | 0.561084i | \(0.810385\pi\) | |||||||
\(998\) | −804.862 | + | 804.862i | −0.806475 | + | 0.806475i | ||||
\(999\) | −988.254 | − | 1246.82i | −0.989243 | − | 1.24807i |
(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 | 105.3.k.d.83.6 | yes | 32 | |
3.2 | odd | 2 | inner | 105.3.k.d.83.12 | yes | 32 | |
5.2 | odd | 4 | inner | 105.3.k.d.62.11 | yes | 32 | |
7.6 | odd | 2 | inner | 105.3.k.d.83.5 | yes | 32 | |
15.2 | even | 4 | inner | 105.3.k.d.62.5 | ✓ | 32 | |
21.20 | even | 2 | inner | 105.3.k.d.83.11 | yes | 32 | |
35.27 | even | 4 | inner | 105.3.k.d.62.12 | yes | 32 | |
105.62 | odd | 4 | inner | 105.3.k.d.62.6 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.k.d.62.5 | ✓ | 32 | 15.2 | even | 4 | inner | |
105.3.k.d.62.6 | yes | 32 | 105.62 | odd | 4 | inner | |
105.3.k.d.62.11 | yes | 32 | 5.2 | odd | 4 | inner | |
105.3.k.d.62.12 | yes | 32 | 35.27 | even | 4 | inner | |
105.3.k.d.83.5 | yes | 32 | 7.6 | odd | 2 | inner | |
105.3.k.d.83.6 | yes | 32 | 1.1 | even | 1 | trivial | |
105.3.k.d.83.11 | yes | 32 | 21.20 | even | 2 | inner | |
105.3.k.d.83.12 | yes | 32 | 3.2 | odd | 2 | inner |