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 | 62.11 | ||
Character | \(\chi\) | \(=\) | 105.62 |
Dual form | 105.3.k.d.83.11 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) |
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 | \(-0.517524\pi\) |
0.998485 | + | 0.0550258i | \(0.0175241\pi\) | |||||||
\(3\) | −1.39918 | − | 2.65373i | −0.466392 | − | 0.884578i | ||||
\(4\) | − | 3.12092i | − | 0.780230i | ||||||
\(5\) | −4.96950 | − | 0.551428i | −0.993900 | − | 0.110286i | ||||
\(6\) | −7.64751 | − | 2.36725i | −1.27459 | − | 0.394542i | ||||
\(7\) | 2.09055 | − | 6.68054i | 0.298651 | − | 0.954363i | ||||
\(8\) | 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 | \(-0.302666\pi\) | |||||||
\(12\) | −8.28210 | + | 4.36672i | −0.690175 | + | 0.363893i | ||||
\(13\) | 11.1383 | + | 11.1383i | 0.856796 | + | 0.856796i | 0.990959 | − | 0.134164i | \(-0.0428348\pi\) |
−0.134164 | + | 0.990959i | \(0.542835\pi\) | |||||||
\(14\) | −8.66093 | − | 16.5503i | −0.618638 | − | 1.18217i | ||||
\(15\) | 5.48986 | + | 13.9593i | 0.365991 | + | 0.930619i | ||||
\(16\) | 18.7435 | 1.17147 | ||||||||
\(17\) | 0.666845 | + | 0.666845i | 0.0392262 | + | 0.0392262i | 0.726448 | − | 0.687222i | \(-0.241170\pi\) |
−0.687222 | + | 0.726448i | \(0.741170\pi\) | |||||||
\(18\) | 4.41815 | + | 23.6067i | 0.245453 | + | 1.31148i | ||||
\(19\) | 10.8119 | 0.569046 | 0.284523 | − | 0.958669i | \(-0.408165\pi\) | ||||
0.284523 | + | 0.958669i | \(0.408165\pi\) | |||||||
\(20\) | −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 | \(-0.271587\pi\) |
−0.753400 | + | 0.657563i | \(0.771587\pi\) | |||||||
\(24\) | 2.08100 | − | 6.72276i | 0.0867083 | − | 0.280115i | ||||
\(25\) | 24.3919 | + | 5.48064i | 0.975674 | + | 0.219226i | ||||
\(26\) | 42.0343 | 1.61670 | ||||||||
\(27\) | 26.8211 | + | 3.10283i | 0.993375 | + | 0.114920i | ||||
\(28\) | −20.8494 | − | 6.52445i | −0.744623 | − | 0.233016i | ||||
\(29\) | −22.9708 | −0.792098 | −0.396049 | − | 0.918229i | \(-0.629619\pi\) | ||||
−0.396049 | + | 0.918229i | \(0.629619\pi\) | |||||||
\(30\) | 36.6989 | + | 15.9811i | 1.22330 | + | 0.532703i | ||||
\(31\) | − | 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 | ||||
\(33\) | −47.5179 | + | 25.0537i | −1.43994 | + | 0.759203i | ||||
\(34\) | 2.51656 | 0.0740166 | ||||||||
\(35\) | −14.0728 | + | 32.0461i | −0.402081 | + | 0.915604i | ||||
\(36\) | 23.1762 | + | 15.8687i | 0.643784 | + | 0.440797i | ||||
\(37\) | 41.6663 | + | 41.6663i | 1.12612 | + | 1.12612i | 0.990803 | + | 0.135314i | \(0.0432044\pi\) |
0.135314 | + | 0.990803i | \(0.456796\pi\) | |||||||
\(38\) | 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 | \(0.526660\pi\) | |||||||
\(42\) | −31.8020 | + | 46.1406i | −0.757191 | + | 1.09859i | ||||
\(43\) | −37.6932 | + | 37.6932i | −0.876587 | + | 0.876587i | −0.993180 | − | 0.116593i | \(-0.962803\pi\) |
0.116593 | + | 0.993180i | \(0.462803\pi\) | |||||||
\(44\) | −55.8834 | −1.27008 | ||||||||
\(45\) | 29.3629 | − | 34.1001i | 0.652510 | − | 0.757780i | ||||
\(46\) | −8.31847 | −0.180836 | ||||||||
\(47\) | −5.55606 | − | 5.55606i | −0.118214 | − | 0.118214i | 0.645525 | − | 0.763739i | \(-0.276639\pi\) |
−0.763739 | + | 0.645525i | \(0.776639\pi\) | |||||||
\(48\) | −26.2255 | − | 49.7404i | −0.546364 | − | 1.03626i | ||||
\(49\) | −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 | \(-0.107451\pi\) |
−0.331194 | + | 0.943563i | \(0.607451\pi\) | |||||||
\(54\) | 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 | ||||
\(57\) | −15.1277 | − | 28.6918i | −0.265398 | − | 0.503365i | ||||
\(58\) | −43.3441 | + | 43.3441i | −0.747312 | + | 0.747312i | ||||
\(59\) | 99.8940i | 1.69312i | 0.532294 | + | 0.846559i | \(0.321330\pi\) | ||||
−0.532294 | + | 0.846559i | \(0.678670\pi\) | |||||||
\(60\) | 43.5658 | − | 17.1334i | 0.726097 | − | 0.285557i | ||||
\(61\) | 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 | ||||
\(63\) | 38.9806 | + | 49.4926i | 0.618739 | + | 0.785597i | ||||
\(64\) | − | 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 | 0.559689 | − | 0.828702i | \(-0.310920\pi\) |
−0.828702 | + | 0.559689i | \(0.810920\pi\) | |||||||
\(68\) | 2.08117 | − | 2.08117i | 0.0306054 | − | 0.0306054i | ||||
\(69\) | −2.76536 | + | 8.93362i | −0.0400777 | + | 0.129473i | ||||
\(70\) | 33.9141 | + | 87.0228i | 0.484488 | + | 1.24318i | ||||
\(71\) | 6.35575i | 0.0895177i | 0.998998 | + | 0.0447588i | \(0.0142519\pi\) | ||||
−0.998998 | + | 0.0447588i | \(0.985748\pi\) | |||||||
\(72\) | −20.7521 | + | 3.88391i | −0.288224 | + | 0.0539431i | ||||
\(73\) | −55.3597 | − | 55.3597i | −0.758352 | − | 0.758352i | 0.217671 | − | 0.976022i | \(-0.430154\pi\) |
−0.976022 | + | 0.217671i | \(0.930154\pi\) | |||||||
\(74\) | 157.242 | 2.12489 | ||||||||
\(75\) | −19.5843 | − | 72.3979i | −0.261124 | − | 0.965305i | ||||
\(76\) | − | 33.7430i | − | 0.443987i | ||||||
\(77\) | −119.622 | − | 37.4336i | −1.55353 | − | 0.486150i | ||||
\(78\) | −58.8133 | − | 111.548i | −0.754017 | − | 1.43010i | ||||
\(79\) | − | 59.7832i | − | 0.756749i | −0.925653 | − | 0.378375i | \(-0.876483\pi\) | ||
0.925653 | − | 0.378375i | \(-0.123517\pi\) | |||||||
\(80\) | −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 | −0.405289 | − | 0.914189i | \(-0.632829\pi\) |
0.914189 | + | 0.405289i | \(0.132829\pi\) | |||||||
\(84\) | 11.8578 | + | 64.4577i | 0.141165 | + | 0.767354i | ||||
\(85\) | −2.94617 | − | 3.68160i | −0.0346608 | − | 0.0433130i | ||||
\(86\) | 142.248i | 1.65405i | ||||||||
\(87\) | 32.1402 | + | 60.9585i | 0.369428 | + | 0.700673i | ||||
\(88\) | 29.7017 | − | 29.7017i | 0.337519 | − | 0.337519i | ||||
\(89\) | − | 58.4197i | − | 0.656401i | −0.944608 | − | 0.328200i | \(-0.893558\pi\) | ||
0.944608 | − | 0.328200i | \(-0.106442\pi\) | |||||||
\(90\) | −8.93864 | − | 119.750i | −0.0993182 | − | 1.33055i | ||||
\(91\) | 97.6954 | − | 51.1248i | 1.07358 | − | 0.561811i | ||||
\(92\) | −6.87928 | + | 6.87928i | −0.0747748 | + | 0.0747748i | ||||
\(93\) | −69.2875 | + | 36.5317i | −0.745027 | + | 0.392814i | ||||
\(94\) | −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 | \(-0.775999\pi\) |
0.647058 | + | 0.762441i | \(0.275999\pi\) | |||||||
\(98\) | −128.671 | + | 23.2603i | −1.31297 | + | 0.237350i | ||||
\(99\) | 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 | \(0.518797\pi\) | |||||||
\(102\) | −3.52111 | − | 6.67829i | −0.0345207 | − | 0.0654734i | ||||
\(103\) | 24.4345 | + | 24.4345i | 0.237229 | + | 0.237229i | 0.815702 | − | 0.578473i | \(-0.196351\pi\) |
−0.578473 | + | 0.815702i | \(0.696351\pi\) | |||||||
\(104\) | 36.9514i | 0.355302i | ||||||||
\(105\) | 104.732 | − | 7.49259i | 0.997451 | − | 0.0713580i | ||||
\(106\) | 122.482 | 1.15549 | ||||||||
\(107\) | −36.8755 | + | 36.8755i | −0.344631 | + | 0.344631i | −0.858105 | − | 0.513474i | \(-0.828358\pi\) |
0.513474 | + | 0.858105i | \(0.328358\pi\) | |||||||
\(108\) | 9.68369 | − | 83.7066i | 0.0896638 | − | 0.775061i | ||||
\(109\) | − | 53.8082i | − | 0.493653i | −0.969060 | − | 0.246827i | \(-0.920612\pi\) | ||
0.969060 | − | 0.246827i | \(-0.0793879\pi\) | |||||||
\(110\) | 149.274 | + | 186.537i | 1.35704 | + | 1.69579i | ||||
\(111\) | 52.2729 | − | 168.870i | 0.470927 | − | 1.52135i | ||||
\(112\) | 39.1844 | − | 125.217i | 0.349860 | − | 1.11801i | ||||
\(113\) | 83.5360 | + | 83.5360i | 0.739257 | + | 0.739257i | 0.972434 | − | 0.233177i | \(-0.0749122\pi\) |
−0.233177 | + | 0.972434i | \(0.574912\pi\) | |||||||
\(114\) | −82.6839 | − | 25.5944i | −0.725297 | − | 0.224512i | ||||
\(115\) | 9.73852 | + | 12.1695i | 0.0846828 | + | 0.105822i | ||||
\(116\) | 71.6902i | 0.618019i | ||||||||
\(117\) | −139.348 | + | 26.0800i | −1.19101 | + | 0.222906i | ||||
\(118\) | 188.492 | + | 188.492i | 1.59739 | + | 1.59739i | ||||
\(119\) | 5.84896 | − | 3.06081i | 0.0491509 | − | 0.0257211i | ||||
\(120\) | −14.0486 | + | 32.2613i | −0.117072 | + | 0.268844i | ||||
\(121\) | −199.627 | −1.64981 | ||||||||
\(122\) | 84.3014 | + | 84.3014i | 0.690995 | + | 0.690995i | ||||
\(123\) | 9.59801 | + | 18.2040i | 0.0780326 | + | 0.148000i | ||||
\(124\) | −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 | 0.983835 | + | 0.179080i | \(0.0573121\pi\) |
0.179080 | + | 0.983835i | \(0.442688\pi\) | |||||||
\(128\) | 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 | \(0.332949\pi\) | |||||||
\(132\) | 78.1906 | + | 148.300i | 0.592353 | + | 1.12348i | ||||
\(133\) | 22.6028 | − | 72.2291i | 0.169946 | − | 0.543076i | ||||
\(134\) | −68.0192 | −0.507606 | ||||||||
\(135\) | −131.577 | − | 30.2094i | −0.974641 | − | 0.223774i | ||||
\(136\) | 2.21226i | 0.0162666i | ||||||||
\(137\) | 68.1163 | − | 68.1163i | 0.497199 | − | 0.497199i | −0.413366 | − | 0.910565i | \(-0.635647\pi\) |
0.910565 | + | 0.413366i | \(0.135647\pi\) | |||||||
\(138\) | 11.6390 | + | 22.0750i | 0.0843406 | + | 0.159964i | ||||
\(139\) | 30.1138 | 0.216646 | 0.108323 | − | 0.994116i | \(-0.465452\pi\) | ||||
0.108323 | + | 0.994116i | \(0.465452\pi\) | |||||||
\(140\) | 100.013 | + | 43.9202i | 0.714382 | + | 0.313716i | ||||
\(141\) | −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 | ||||||||
\(147\) | −17.7946 | + | 145.919i | −0.121052 | + | 0.992646i | ||||
\(148\) | 130.037 | − | 130.037i | 0.878631 | − | 0.878631i | ||||
\(149\) | 92.4633 | 0.620559 | 0.310280 | − | 0.950645i | \(-0.399577\pi\) | ||||
0.310280 | + | 0.950645i | \(0.399577\pi\) | |||||||
\(150\) | −173.563 | − | 99.6549i | −1.15709 | − | 0.664366i | ||||
\(151\) | −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 | ||||
\(153\) | −8.34269 | + | 1.56139i | −0.0545274 | + | 0.0102052i | ||||
\(154\) | −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 | \(-0.657031\pi\) |
0.880762 | + | 0.473559i | \(0.157031\pi\) | |||||||
\(158\) | −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 | ||||
\(162\) | −197.770 | − | 87.2212i | −1.22080 | − | 0.538403i | ||||
\(163\) | −10.2931 | + | 10.2931i | −0.0631481 | + | 0.0631481i | −0.737976 | − | 0.674827i | \(-0.764218\pi\) |
0.674827 | + | 0.737976i | \(0.264218\pi\) | |||||||
\(164\) | 21.4088i | 0.130541i | ||||||||
\(165\) | 249.955 | − | 98.3017i | 1.51488 | − | 0.595768i | ||||
\(166\) | − | 159.402i | − | 0.960253i | ||||||
\(167\) | 57.7311 | + | 57.7311i | 0.345695 | + | 0.345695i | 0.858503 | − | 0.512808i | \(-0.171395\pi\) |
−0.512808 | + | 0.858503i | \(0.671395\pi\) | |||||||
\(168\) | −40.5612 | − | 27.9565i | −0.241436 | − | 0.166408i | ||||
\(169\) | 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 | −0.0359688 | + | 0.999353i | \(0.511452\pi\) |
−0.999353 | + | 0.0359688i | \(0.988548\pi\) | |||||||
\(174\) | 175.670 | + | 54.3777i | 1.00960 | + | 0.312516i | ||||
\(175\) | 87.6061 | − | 151.493i | 0.500606 | − | 0.865675i | ||||
\(176\) | − | 335.623i | − | 1.90695i | ||||||
\(177\) | 265.092 | − | 139.769i | 1.49770 | − | 0.789657i | ||||
\(178\) | −110.233 | − | 110.233i | −0.619287 | − | 0.619287i | ||||
\(179\) | −307.914 | −1.72019 | −0.860095 | − | 0.510133i | \(-0.829596\pi\) | ||||
−0.860095 | + | 0.510133i | \(0.829596\pi\) | |||||||
\(180\) | −106.424 | − | 91.6394i | −0.591243 | − | 0.509108i | ||||
\(181\) | − | 124.967i | − | 0.690428i | −0.938524 | − | 0.345214i | \(-0.887806\pi\) | ||
0.938524 | − | 0.345214i | \(-0.112194\pi\) | |||||||
\(182\) | 87.8749 | − | 280.812i | 0.482829 | − | 1.54292i | ||||
\(183\) | 118.560 | − | 62.5106i | 0.647870 | − | 0.341588i | ||||
\(184\) | − | 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 | \(-0.101920\pi\) | |||||||
\(192\) | −88.7878 | + | 46.8132i | −0.462437 | + | 0.243819i | ||||
\(193\) | −12.8649 | + | 12.8649i | −0.0666576 | + | 0.0666576i | −0.739650 | − | 0.672992i | \(-0.765009\pi\) |
0.672992 | + | 0.739650i | \(0.265009\pi\) | |||||||
\(194\) | 42.2372i | 0.217718i | ||||||||
\(195\) | −94.3353 | + | 216.631i | −0.483771 | + | 1.11093i | ||||
\(196\) | −87.1737 | + | 125.646i | −0.444764 | + | 0.641050i | ||||
\(197\) | −7.82035 | + | 7.82035i | −0.0396972 | + | 0.0396972i | −0.726677 | − | 0.686980i | \(-0.758936\pi\) |
0.686980 | + | 0.726677i | \(0.258936\pi\) | |||||||
\(198\) | 422.702 | − | 79.1117i | 2.13486 | − | 0.399554i | ||||
\(199\) | −301.160 | −1.51336 | −0.756682 | − | 0.653783i | \(-0.773181\pi\) | ||||
−0.756682 | + | 0.653783i | \(0.773181\pi\) | |||||||
\(200\) | 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 | ||||
\(203\) | −48.0218 | + | 153.458i | −0.236560 | + | 0.755949i | ||||
\(204\) | −8.43479 | − | 2.61095i | −0.0413470 | − | 0.0127988i | ||||
\(205\) | 34.0896 | + | 3.78266i | 0.166291 | + | 0.0184520i | ||||
\(206\) | 92.2120 | 0.447631 | ||||||||
\(207\) | 27.5767 | − | 5.16117i | 0.133221 | − | 0.0249332i | ||||
\(208\) | 208.772 | + | 208.772i | 1.00371 | + | 1.00371i | ||||
\(209\) | − | 193.598i | − | 0.926305i | ||||||
\(210\) | 183.483 | − | 211.759i | 0.873731 | − | 1.00838i | ||||
\(211\) | −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 | ||||
\(213\) | 16.8665 | − | 8.89282i | 0.0791854 | − | 0.0417503i | ||||
\(214\) | 139.162i | 0.650291i | ||||||||
\(215\) | 208.102 | − | 166.531i | 0.967915 | − | 0.774565i | ||||
\(216\) | 39.3427 | + | 49.6363i | 0.182142 | + | 0.229798i | ||||
\(217\) | −174.425 | − | 54.5832i | −0.803802 | − | 0.251535i | ||||
\(218\) | −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 | ||||||||
\(222\) | −220.009 | − | 417.278i | −0.991032 | − | 1.87963i | ||||
\(223\) | 21.1671 | + | 21.1671i | 0.0949198 | + | 0.0949198i | 0.752972 | − | 0.658052i | \(-0.228619\pi\) |
−0.658052 | + | 0.752972i | \(0.728619\pi\) | |||||||
\(224\) | −131.882 | − | 252.016i | −0.588758 | − | 1.12507i | ||||
\(225\) | −164.723 | + | 153.269i | −0.732102 | + | 0.681195i | ||||
\(226\) | 315.251 | 1.39492 | ||||||||
\(227\) | 190.960 | + | 190.960i | 0.841234 | + | 0.841234i | 0.989019 | − | 0.147785i | \(-0.0472145\pi\) |
−0.147785 | + | 0.989019i | \(0.547215\pi\) | |||||||
\(228\) | −89.5449 | + | 47.2124i | −0.392741 | + | 0.207072i | ||||
\(229\) | −84.1627 | −0.367523 | −0.183761 | − | 0.982971i | \(-0.558827\pi\) | ||||
−0.183761 | + | 0.982971i | \(0.558827\pi\) | |||||||
\(230\) | 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 | \(-0.492526\pi\) |
−0.999724 | + | 0.0234784i | \(0.992526\pi\) | |||||||
\(234\) | −213.728 | + | 312.150i | −0.913368 | + | 1.33397i | ||||
\(235\) | 24.5471 | + | 30.6746i | 0.104456 | + | 0.130530i | ||||
\(236\) | 311.761 | 1.32102 | ||||||||
\(237\) | −158.649 | + | 83.6472i | −0.669404 | + | 0.352942i | ||||
\(238\) | 5.26101 | − | 16.8120i | 0.0221051 | − | 0.0706386i | ||||
\(239\) | 19.0852 | 0.0798543 | 0.0399272 | − | 0.999203i | \(-0.487287\pi\) | ||||
0.0399272 | + | 0.999203i | \(0.487287\pi\) | |||||||
\(240\) | 102.899 | + | 261.646i | 0.428747 | + | 1.09019i | ||||
\(241\) | 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 | ||||
\(243\) | −159.417 | + | 183.399i | −0.656037 | + | 0.754729i | ||||
\(244\) | 139.433 | 0.571445 | ||||||||
\(245\) | 184.665 | + | 161.008i | 0.753736 | + | 0.657177i | ||||
\(246\) | 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 | \(0.668822\pi\) | |||||||
\(252\) | 154.462 | − | 121.655i | 0.612946 | − | 0.482759i | ||||
\(253\) | −39.4694 | + | 39.4694i | −0.156005 | + | 0.156005i | ||||
\(254\) | 557.358 | 2.19432 | ||||||||
\(255\) | −5.64779 | + | 12.9696i | −0.0221482 | + | 0.0508610i | ||||
\(256\) | 329.309 | 1.28636 | ||||||||
\(257\) | 295.955 | + | 295.955i | 1.15158 | + | 1.15158i | 0.986237 | + | 0.165340i | \(0.0528721\pi\) |
0.165340 | + | 0.986237i | \(0.447128\pi\) | |||||||
\(258\) | 377.489 | − | 199.030i | 1.46313 | − | 0.771435i | ||||
\(259\) | 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 | \(-0.251482\pi\) |
−0.710392 | + | 0.703807i | \(0.751482\pi\) | |||||||
\(264\) | −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 | ||||
\(267\) | −155.030 | + | 81.7394i | −0.580638 | + | 0.306140i | ||||
\(268\) | −56.2511 | + | 56.2511i | −0.209892 | + | 0.209892i | ||||
\(269\) | 400.956i | 1.49054i | 0.666761 | + | 0.745272i | \(0.267680\pi\) | ||||
−0.666761 | + | 0.745272i | \(0.732320\pi\) | |||||||
\(270\) | −305.277 | + | 191.271i | −1.13066 | + | 0.708413i | ||||
\(271\) | − | 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 | ||||
\(273\) | −272.365 | − | 187.725i | −0.997673 | − | 0.687638i | ||||
\(274\) | − | 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 | 0.629971 | − | 0.776618i | \(-0.283067\pi\) |
−0.776618 | + | 0.629971i | \(0.783067\pi\) | |||||||
\(278\) | 56.8222 | − | 56.8222i | 0.204397 | − | 0.204397i | ||||
\(279\) | 193.891 | + | 132.756i | 0.694949 | + | 0.475830i | ||||
\(280\) | −76.4999 | + | 29.8132i | −0.273214 | + | 0.106476i | ||||
\(281\) | 284.890i | 1.01384i | 0.861992 | + | 0.506922i | \(0.169217\pi\) | ||||
−0.861992 | + | 0.506922i | \(0.830783\pi\) | |||||||
\(282\) | 29.3374 | + | 55.6426i | 0.104033 | + | 0.197314i | ||||
\(283\) | −102.657 | − | 102.657i | −0.362744 | − | 0.362744i | 0.502078 | − | 0.864822i | \(-0.332569\pi\) |
−0.864822 | + | 0.502078i | \(0.832569\pi\) | |||||||
\(284\) | 19.8358 | 0.0698444 | ||||||||
\(285\) | 59.3556 | + | 150.926i | 0.208265 | + | 0.529565i | ||||
\(286\) | − | 752.668i | − | 2.63171i | ||||||
\(287\) | −14.3407 | + | 45.8269i | −0.0499676 | + | 0.159676i | ||||
\(288\) | 67.2762 | + | 359.464i | 0.233598 | + | 1.24814i | ||||
\(289\) | − | 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 | −0.266746 | − | 0.963767i | \(-0.585948\pi\) |
0.963767 | + | 0.266746i | \(0.0859483\pi\) | |||||||
\(294\) | 241.760 | + | 308.914i | 0.822314 | + | 1.05073i | ||||
\(295\) | 55.0844 | − | 496.423i | 0.186727 | − | 1.68279i | ||||
\(296\) | 138.228i | 0.466987i | ||||||||
\(297\) | 55.5594 | − | 480.260i | 0.187069 | − | 1.61704i | ||||
\(298\) | 174.471 | − | 174.471i | 0.585472 | − | 0.585472i | ||||
\(299\) | − | 49.1033i | − | 0.164225i | ||||||
\(300\) | −225.948 | + | 61.1211i | −0.753160 | + | 0.203737i | ||||
\(301\) | 173.011 | + | 330.611i | 0.574789 | + | 1.09838i | ||||
\(302\) | −23.1493 | + | 23.1493i | −0.0766534 | + | 0.0766534i | ||||
\(303\) | 16.6808 | + | 31.6374i | 0.0550520 | + | 0.104414i | ||||
\(304\) | 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 | \(-0.910545\pi\) |
0.277345 | + | 0.960770i | \(0.410545\pi\) | |||||||
\(308\) | −116.827 | + | 373.331i | −0.379309 | + | 1.21211i | ||||
\(309\) | 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 | \(0.732482\pi\) | |||||||
\(312\) | 98.0593 | − | 51.7016i | 0.314293 | − | 0.165710i | ||||
\(313\) | −6.05318 | − | 6.05318i | −0.0193392 | − | 0.0193392i | 0.697371 | − | 0.716710i | \(-0.254353\pi\) |
−0.716710 | + | 0.697371i | \(0.754353\pi\) | |||||||
\(314\) | − | 241.265i | − | 0.768359i | ||||||
\(315\) | −166.422 | − | 267.448i | −0.528325 | − | 0.849042i | ||||
\(316\) | −186.579 | −0.590439 | ||||||||
\(317\) | −255.502 | + | 255.502i | −0.805999 | + | 0.805999i | −0.984026 | − | 0.178027i | \(-0.943029\pi\) |
0.178027 | + | 0.984026i | \(0.443029\pi\) | |||||||
\(318\) | −171.374 | − | 325.035i | −0.538911 | − | 1.02212i | ||||
\(319\) | 411.317i | 1.28939i | ||||||||
\(320\) | −18.4495 | + | 166.268i | −0.0576547 | + | 0.519588i | ||||
\(321\) | 149.453 | + | 46.2625i | 0.465586 | + | 0.144120i | ||||
\(322\) | −17.3902 | + | 55.5719i | −0.0540069 | + | 0.172583i | ||||
\(323\) | 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 | ||||||||
\(327\) | −142.793 | + | 75.2872i | −0.436675 | + | 0.230236i | ||||
\(328\) | −11.3786 | − | 11.3786i | −0.0346909 | − | 0.0346909i | ||||
\(329\) | −48.7327 | + | 25.5022i | −0.148124 | + | 0.0775144i | ||||
\(330\) | 286.158 | − | 657.133i | 0.867147 | − | 1.99131i | ||||
\(331\) | 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 | ||||
\(333\) | −521.275 | + | 97.5603i | −1.56539 | + | 0.292974i | ||||
\(334\) | 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 | 0.957323 | − | 0.289020i | \(-0.0933294\pi\) |
−0.289020 | + | 0.957323i | \(0.593329\pi\) | |||||||
\(338\) | 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 | ||||||||
\(342\) | 47.7685 | + | 255.232i | 0.139674 | + | 0.746293i | ||||
\(343\) | −270.765 | + | 210.559i | −0.789402 | + | 0.613876i | ||||
\(344\) | −125.047 | −0.363510 | ||||||||
\(345\) | 18.6687 | − | 42.8707i | 0.0541122 | − | 0.124263i | ||||
\(346\) | 675.934i | 1.95357i | ||||||||
\(347\) | −81.8789 | + | 81.8789i | −0.235962 | + | 0.235962i | −0.815176 | − | 0.579214i | \(-0.803360\pi\) |
0.579214 | + | 0.815176i | \(0.303360\pi\) | |||||||
\(348\) | 190.247 | − | 100.307i | 0.546686 | − | 0.288239i | ||||
\(349\) | 356.670 | 1.02198 | 0.510989 | − | 0.859587i | \(-0.329279\pi\) | ||||
0.510989 | + | 0.859587i | \(0.329279\pi\) | |||||||
\(350\) | −120.550 | − | 451.161i | −0.344427 | − | 1.28903i | ||||
\(351\) | 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 | −0.992048 | − | 0.125857i | \(-0.959832\pi\) |
0.125857 | + | 0.992048i | \(0.459832\pi\) | |||||||
\(354\) | 236.474 | − | 763.940i | 0.668006 | − | 2.15802i | ||||
\(355\) | 3.50474 | − | 31.5849i | 0.00987251 | − | 0.0889716i | ||||
\(356\) | −182.323 | −0.512144 | ||||||||
\(357\) | −16.3063 | − | 11.2390i | −0.0456759 | − | 0.0314817i | ||||
\(358\) | −581.009 | + | 581.009i | −1.62293 | + | 1.62293i | ||||
\(359\) | 356.776 | 0.993806 | 0.496903 | − | 0.867806i | \(-0.334470\pi\) | ||||
0.496903 | + | 0.867806i | \(0.334470\pi\) | |||||||
\(360\) | 105.269 | − | 7.85776i | 0.292415 | − | 0.0218271i | ||||
\(361\) | −244.103 | −0.676187 | ||||||||
\(362\) | −235.803 | − | 235.803i | −0.651390 | − | 0.651390i | ||||
\(363\) | 279.313 | + | 529.756i | 0.769456 | + | 1.45938i | ||||
\(364\) | −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 | \(-0.866222\pi\) |
0.408013 | + | 0.912976i | \(0.366222\pi\) | |||||||
\(368\) | −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 | ||||
\(372\) | 114.013 | + | 216.241i | 0.306485 | + | 0.581293i | ||||
\(373\) | −231.949 | + | 231.949i | −0.621848 | + | 0.621848i | −0.946004 | − | 0.324155i | \(-0.894920\pi\) |
0.324155 | + | 0.946004i | \(0.394920\pi\) | |||||||
\(374\) | − | 45.0617i | − | 0.120486i | ||||||
\(375\) | 57.4020 | + | 370.581i | 0.153072 | + | 0.988215i | ||||
\(376\) | − | 18.4322i | − | 0.0490219i | ||||||
\(377\) | −255.857 | − | 255.857i | −0.678666 | − | 0.678666i | ||||
\(378\) | −180.943 | − | 470.772i | −0.478685 | − | 1.24543i | ||||
\(379\) | − | 33.7232i | − | 0.0889794i | −0.999010 | − | 0.0444897i | \(-0.985834\pi\) | ||
0.999010 | − | 0.0444897i | \(-0.0141662\pi\) | |||||||
\(380\) | −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 | −0.0754169 | − | 0.997152i | \(-0.524029\pi\) |
0.997152 | + | 0.0754169i | \(0.0240288\pi\) | |||||||
\(384\) | 64.9838 | − | 209.933i | 0.169229 | − | 0.546701i | ||||
\(385\) | 573.820 | + | 251.989i | 1.49044 | + | 0.654517i | ||||
\(386\) | 48.5501i | 0.125777i | ||||||||
\(387\) | −88.2574 | − | 471.569i | −0.228055 | − | 1.21852i | ||||
\(388\) | 34.9297 | + | 34.9297i | 0.0900250 | + | 0.0900250i | ||||
\(389\) | 222.963 | 0.573170 | 0.286585 | − | 0.958055i | \(-0.407480\pi\) | ||||
0.286585 | + | 0.958055i | \(0.407480\pi\) | |||||||
\(390\) | 230.762 | + | 586.768i | 0.591698 | + | 1.50453i | ||||
\(391\) | − | 2.93978i | − | 0.00751862i | ||||||
\(392\) | −20.4476 | − | 113.112i | −0.0521623 | − | 0.288551i | ||||
\(393\) | −183.675 | − | 348.366i | −0.467367 | − | 0.886429i | ||||
\(394\) | 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 | 0.382270 | − | 0.924051i | \(-0.375143\pi\) |
0.924051 | − | 0.382270i | \(-0.124857\pi\) | |||||||
\(398\) | −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 | \(0.863695\pi\) | |||||||
\(402\) | 95.1707 | + | 180.505i | 0.236743 | + | 0.449017i | ||||
\(403\) | 290.816 | − | 290.816i | 0.721628 | − | 0.721628i | ||||
\(404\) | 37.2072i | 0.0920969i | ||||||||
\(405\) | 103.931 | + | 391.438i | 0.256619 | + | 0.966513i | ||||
\(406\) | 198.949 | + | 380.175i | 0.490022 | + | 0.936392i | ||||
\(407\) | 746.079 | − | 746.079i | 1.83312 | − | 1.83312i | ||||
\(408\) | 5.87074 | − | 3.09534i | 0.0143891 | − | 0.00758661i | ||||
\(409\) | −634.549 | −1.55146 | −0.775732 | − | 0.631062i | \(-0.782619\pi\) | ||||
−0.775732 | + | 0.631062i | \(0.782619\pi\) | |||||||
\(410\) | 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 | ||||
\(413\) | 667.346 | + | 208.834i | 1.61585 | + | 0.505651i | ||||
\(414\) | 42.2962 | − | 61.7736i | 0.102165 | − | 0.149212i | ||||
\(415\) | −233.197 | + | 186.614i | −0.561920 | + | 0.449671i | ||||
\(416\) | 640.065 | 1.53862 | ||||||||
\(417\) | −42.1345 | − | 79.9140i | −0.101042 | − | 0.191640i | ||||
\(418\) | −365.303 | − | 365.303i | −0.873931 | − | 0.873931i | ||||
\(419\) | 415.098i | 0.990687i | 0.868697 | + | 0.495343i | \(0.164958\pi\) | ||||
−0.868697 | + | 0.495343i | \(0.835042\pi\) | |||||||
\(420\) | −23.3838 | − | 326.861i | −0.0556756 | − | 0.778241i | ||||
\(421\) | 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 | ||||
\(423\) | 69.5102 | − | 13.0093i | 0.164327 | − | 0.0307549i | ||||
\(424\) | 107.671i | 0.253942i | ||||||||
\(425\) | 12.6108 | + | 19.9203i | 0.0296726 | + | 0.0468713i | ||||
\(426\) | 15.0457 | − | 48.6057i | 0.0353185 | − | 0.114098i | ||||
\(427\) | 298.465 | + | 93.3992i | 0.698981 | + | 0.218733i | ||||
\(428\) | 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 | \(-0.0813514\pi\) | |||||||
\(432\) | 502.723 | + | 58.1580i | 1.16371 | + | 0.134625i | ||||
\(433\) | −377.736 | − | 377.736i | −0.872369 | − | 0.872369i | 0.120361 | − | 0.992730i | \(-0.461595\pi\) |
−0.992730 | + | 0.120361i | \(0.961595\pi\) | |||||||
\(434\) | −432.120 | + | 226.132i | −0.995668 | + | 0.521041i | ||||
\(435\) | −126.107 | − | 320.656i | −0.289900 | − | 0.737141i | ||||
\(436\) | −167.931 | −0.385163 | ||||||||
\(437\) | −23.8320 | − | 23.8320i | −0.0545355 | − | 0.0545355i | ||||
\(438\) | 292.313 | + | 554.414i | 0.667382 | + | 1.26579i | ||||
\(439\) | −18.8677 | −0.0429789 | −0.0214894 | − | 0.999769i | \(-0.506841\pi\) | ||||
−0.0214894 | + | 0.999769i | \(0.506841\pi\) | |||||||
\(440\) | −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 | −0.995136 | − | 0.0985149i | \(-0.968591\pi\) |
−0.0985149 | − | 0.995136i | \(-0.531409\pi\) | |||||||
\(444\) | −527.030 | − | 163.140i | −1.18700 | − | 0.367431i | ||||
\(445\) | −32.2143 | + | 290.317i | −0.0723916 | + | 0.652397i | ||||
\(446\) | 79.8812 | 0.179106 | ||||||||
\(447\) | −129.372 | − | 245.373i | −0.289424 | − | 0.548933i | ||||
\(448\) | −223.515 | − | 69.9451i | −0.498918 | − | 0.156127i | ||||
\(449\) | −801.204 | −1.78442 | −0.892209 | − | 0.451623i | \(-0.850845\pi\) | ||||
−0.892209 | + | 0.451623i | \(0.850845\pi\) | |||||||
\(450\) | −21.6128 | + | 600.025i | −0.0480283 | + | 1.33339i | ||||
\(451\) | 122.831i | 0.272353i | ||||||||
\(452\) | 260.709 | − | 260.709i | 0.576791 | − | 0.576791i | ||||
\(453\) | 17.1655 | + | 32.5569i | 0.0378930 | + | 0.0718695i | ||||
\(454\) | 720.652 | 1.58734 | ||||||||
\(455\) | −513.689 | + | 200.193i | −1.12899 | + | 0.439984i | ||||
\(456\) | 22.4995 | − | 72.6856i | 0.0493410 | − | 0.159398i | ||||
\(457\) | −407.879 | − | 407.879i | −0.892515 | − | 0.892515i | 0.102244 | − | 0.994759i | \(-0.467398\pi\) |
−0.994759 | + | 0.102244i | \(0.967398\pi\) | |||||||
\(458\) | −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 | \(0.261821\pi\) | |||||||
\(462\) | 826.196 | + | 569.449i | 1.78830 | + | 1.23257i | ||||
\(463\) | 576.012 | − | 576.012i | 1.24409 | − | 1.24409i | 0.285797 | − | 0.958290i | \(-0.407742\pi\) |
0.958290 | − | 0.285797i | \(-0.0922584\pi\) | |||||||
\(464\) | −430.555 | −0.927920 | ||||||||
\(465\) | 364.469 | − | 143.337i | 0.783804 | − | 0.308252i | ||||
\(466\) | −858.417 | −1.84210 | ||||||||
\(467\) | 239.537 | + | 239.537i | 0.512928 | + | 0.512928i | 0.915422 | − | 0.402495i | \(-0.131857\pi\) |
−0.402495 | + | 0.915422i | \(0.631857\pi\) | |||||||
\(468\) | 81.3938 | + | 434.895i | 0.173918 | + | 0.929264i | ||||
\(469\) | −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 | ||||
\(477\) | −406.042 | + | 75.9936i | −0.851241 | + | 0.159316i | ||||
\(478\) | 36.0122 | − | 36.0122i | 0.0753393 | − | 0.0753393i | ||||
\(479\) | − | 868.698i | − | 1.81357i | −0.421598 | − | 0.906783i | \(-0.638531\pi\) | ||
0.421598 | − | 0.906783i | \(-0.361469\pi\) | |||||||
\(480\) | 558.823 | + | 243.348i | 1.16421 | + | 0.506975i | ||||
\(481\) | 928.188i | 1.92970i | ||||||||
\(482\) | 651.785 | + | 651.785i | 1.35225 | + | 1.35225i | ||||
\(483\) | 53.9002 | + | 37.1503i | 0.111595 | + | 0.0769157i | ||||
\(484\) | 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 | 0.709031 | − | 0.705177i | \(-0.249132\pi\) |
−0.705177 | + | 0.709031i | \(0.749132\pi\) | |||||||
\(488\) | −74.1076 | + | 74.1076i | −0.151860 | + | 0.151860i | ||||
\(489\) | 41.7171 | + | 12.9133i | 0.0853111 | + | 0.0264077i | ||||
\(490\) | 652.258 | − | 44.6390i | 1.33114 | − | 0.0911000i | ||||
\(491\) | − | 125.302i | − | 0.255198i | −0.991826 | − | 0.127599i | \(-0.959273\pi\) | ||
0.991826 | − | 0.127599i | \(-0.0407270\pi\) | |||||||
\(492\) | 56.8132 | − | 29.9546i | 0.115474 | − | 0.0608834i | ||||
\(493\) | −15.3180 | − | 15.3180i | −0.0310710 | − | 0.0310710i | ||||
\(494\) | 454.469 | 0.919978 | ||||||||
\(495\) | −610.598 | − | 525.774i | −1.23353 | − | 1.06217i | ||||
\(496\) | − | 489.383i | − | 0.986660i | ||||||
\(497\) | 42.4599 | + | 13.2870i | 0.0854323 | + | 0.0267345i | ||||
\(498\) | −423.011 | + | 223.031i | −0.849419 | + | 0.447854i | ||||
\(499\) | 426.549i | 0.854807i | 0.904061 | + | 0.427403i | \(0.140572\pi\) | ||||
−0.904061 | + | 0.427403i | \(0.859428\pi\) | |||||||
\(500\) | −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 | 0.232335 | − | 0.972636i | \(-0.425364\pi\) |
0.972636 | − | 0.232335i | \(-0.0746364\pi\) | |||||||
\(504\) | −17.4368 | + | 146.755i | −0.0345969 | + | 0.291180i | ||||
\(505\) | 59.2456 | + | 6.57404i | 0.117318 | + | 0.0130179i | ||||
\(506\) | 148.951i | 0.294369i | ||||||||
\(507\) | 209.978 | − | 110.710i | 0.414157 | − | 0.218363i | ||||
\(508\) | 460.929 | − | 460.929i | 0.907341 | − | 0.907341i | ||||
\(509\) | 3.90604i | 0.00767394i | 0.999993 | + | 0.00383697i | \(0.00122135\pi\) | ||||
−0.999993 | + | 0.00383697i | \(0.998779\pi\) | |||||||
\(510\) | 13.8156 | + | 35.1294i | 0.0270894 | + | 0.0688812i | ||||
\(511\) | −485.565 | + | 254.100i | −0.950225 | + | 0.497260i | ||||
\(512\) | 414.186 | − | 414.186i | 0.808956 | − | 0.808956i | ||||
\(513\) | 289.986 | + | 33.5474i | 0.565276 | + | 0.0653945i | ||||
\(514\) | 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 | ||||
\(518\) | 328.723 | − | 1050.46i | 0.634600 | − | 2.02792i | ||||
\(519\) | 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 | \(0.320683\pi\) | |||||||
\(522\) | −101.489 | − | 542.265i | −0.194423 | − | 1.03882i | ||||
\(523\) | 241.019 | + | 241.019i | 0.460839 | + | 0.460839i | 0.898930 | − | 0.438092i | \(-0.144345\pi\) |
−0.438092 | + | 0.898930i | \(0.644345\pi\) | |||||||
\(524\) | − | 409.696i | − | 0.781862i | ||||||
\(525\) | −524.599 | − | 20.5180i | −0.999236 | − | 0.0390818i | ||||
\(526\) | −6.53551 | −0.0124249 | ||||||||
\(527\) | 17.4109 | − | 17.4109i | 0.0330378 | − | 0.0330378i | ||||
\(528\) | −890.653 | + | 469.595i | −1.68684 | + | 0.889384i | ||||
\(529\) | − | 519.283i | − | 0.981631i | ||||||
\(530\) | −608.674 | − | 67.5400i | −1.14844 | − | 0.127434i | ||||
\(531\) | −741.821 | − | 507.923i | −1.39703 | − | 0.956540i | ||||
\(532\) | −225.421 | − | 70.5415i | −0.423724 | − | 0.132597i | ||||
\(533\) | −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 | ||||||
\(537\) | 430.826 | + | 817.122i | 0.802283 | + | 1.52164i | ||||
\(538\) | 756.572 | + | 756.572i | 1.40627 | + | 1.40627i | ||||
\(539\) | −500.153 | + | 720.883i | −0.927927 | + | 1.33744i | ||||
\(540\) | −94.2813 | + | 410.640i | −0.174595 | + | 0.760445i | ||||
\(541\) | 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 | ||||
\(543\) | −331.630 | + | 174.851i | −0.610737 | + | 0.322010i | ||||
\(544\) | 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 | 0.629552 | − | 0.776958i | \(-0.283238\pi\) |
−0.776958 | + | 0.629552i | \(0.783238\pi\) | |||||||
\(548\) | −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 | ||||||||
\(552\) | −19.4057 | + | 10.2316i | −0.0351552 | + | 0.0185355i | ||||
\(553\) | −399.384 | − | 124.980i | −0.722213 | − | 0.226004i | ||||
\(554\) | −153.298 | −0.276711 | ||||||||
\(555\) | −352.890 | + | 810.374i | −0.635837 | + | 1.46013i | ||||
\(556\) | − | 93.9827i | − | 0.169034i | ||||||
\(557\) | 452.948 | − | 452.948i | 0.813192 | − | 0.813192i | −0.171919 | − | 0.985111i | \(-0.554997\pi\) |
0.985111 | + | 0.171919i | \(0.0549967\pi\) | |||||||
\(558\) | 616.357 | − | 115.356i | 1.10458 | − | 0.206730i | ||||
\(559\) | −839.680 | −1.50211 | ||||||||
\(560\) | −263.775 | + | 600.658i | −0.471026 | + | 1.07260i | ||||
\(561\) | −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 | −0.998804 | − | 0.0488978i | \(-0.984429\pi\) |
0.0488978 | + | 0.998804i | \(0.484429\pi\) | |||||||
\(564\) | 70.2776 | + | 21.7541i | 0.124606 | + | 0.0385711i | ||||
\(565\) | −369.068 | − | 461.196i | −0.653218 | − | 0.816277i | ||||
\(566\) | −387.409 | −0.684468 | ||||||||
\(567\) | −565.737 | + | 37.8220i | −0.997773 | + | 0.0667054i | ||||
\(568\) | −10.5426 | + | 10.5426i | −0.0185609 | + | 0.0185609i | ||||
\(569\) | 527.903 | 0.927773 | 0.463886 | − | 0.885895i | \(-0.346455\pi\) | ||||
0.463886 | + | 0.885895i | \(0.346455\pi\) | |||||||
\(570\) | 396.784 | + | 172.786i | 0.696112 | + | 0.303133i | ||||
\(571\) | 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 | ||||
\(573\) | −319.069 | + | 168.228i | −0.556839 | + | 0.293592i | ||||
\(574\) | 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 | \(-0.725083\pi\) |
0.760237 | + | 0.649646i | \(0.225083\pi\) | |||||||
\(578\) | −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 | ||||
\(582\) | 112.086 | − | 59.0973i | 0.192588 | − | 0.101542i | ||||
\(583\) | 581.151 | − | 581.151i | 0.996828 | − | 0.996828i | ||||
\(584\) | − | 183.656i | − | 0.314479i | ||||||
\(585\) | 706.873 | − | 52.7641i | 1.20833 | − | 0.0901951i | ||||
\(586\) | − | 770.720i | − | 1.31522i | ||||||
\(587\) | −748.348 | − | 748.348i | −1.27487 | − | 1.27487i | −0.943502 | − | 0.331366i | \(-0.892491\pi\) |
−0.331366 | − | 0.943502i | \(-0.607509\pi\) | |||||||
\(588\) | 455.402 | + | 55.5355i | 0.774493 | + | 0.0944481i | ||||
\(589\) | − | 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 | −0.628394 | − | 0.777895i | \(-0.716287\pi\) |
0.777895 | + | 0.628394i | \(0.216287\pi\) | |||||||
\(594\) | −801.376 | − | 1011.05i | −1.34912 | − | 1.70210i | ||||
\(595\) | −30.7542 | + | 11.9854i | −0.0516877 | + | 0.0201435i | ||||
\(596\) | − | 288.571i | − | 0.484179i | ||||||
\(597\) | 421.375 | + | 799.198i | 0.705821 | + | 1.33869i | ||||
\(598\) | −92.6540 | − | 92.6540i | −0.154940 | − | 0.154940i | ||||
\(599\) | 512.160 | 0.855025 | 0.427512 | − | 0.904009i | \(-0.359390\pi\) | ||||
0.427512 | + | 0.904009i | \(0.359390\pi\) | |||||||
\(600\) | 87.6045 | − | 152.575i | 0.146008 | − | 0.254292i | ||||
\(601\) | − | 148.766i | − | 0.247530i | −0.992312 | − | 0.123765i | \(-0.960503\pi\) | ||
0.992312 | − | 0.123765i | \(-0.0394969\pi\) | |||||||
\(602\) | 950.294 | + | 297.377i | 1.57856 | + | 0.493982i | ||||
\(603\) | 225.491 | − | 42.2023i | 0.373949 | − | 0.0699872i | ||||
\(604\) | 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 | \(-0.878122\pi\) |
0.373604 | + | 0.927588i | \(0.378122\pi\) | |||||||
\(608\) | 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 | ||||||
\(612\) | 4.87299 | + | 26.0369i | 0.00796240 | + | 0.0425439i | ||||
\(613\) | −289.428 | + | 289.428i | −0.472151 | + | 0.472151i | −0.902610 | − | 0.430459i | \(-0.858352\pi\) |
0.430459 | + | 0.902610i | \(0.358352\pi\) | |||||||
\(614\) | 791.794i | 1.28957i | ||||||||
\(615\) | −37.6591 | − | 95.7573i | −0.0612343 | − | 0.155703i | ||||
\(616\) | −136.330 | − | 260.516i | −0.221315 | − | 0.422915i | ||||
\(617\) | −759.979 | + | 759.979i | −1.23173 | + | 1.23173i | −0.268434 | + | 0.963298i | \(0.586506\pi\) |
−0.963298 | + | 0.268434i | \(0.913494\pi\) | |||||||
\(618\) | −129.021 | − | 244.706i | −0.208771 | − | 0.395965i | ||||
\(619\) | −509.592 | −0.823251 | −0.411626 | − | 0.911353i | \(-0.635039\pi\) | ||||
−0.411626 | + | 0.911353i | \(0.635039\pi\) | |||||||
\(620\) | 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 | ||||
\(623\) | −390.275 | − | 122.129i | −0.626444 | − | 0.196034i | ||||
\(624\) | 261.917 | − | 846.134i | 0.419738 | − | 1.35598i | ||||
\(625\) | 564.925 | + | 267.366i | 0.903880 | + | 0.427786i | ||||
\(626\) | −22.8437 | −0.0364915 | ||||||||
\(627\) | −513.757 | + | 270.877i | −0.819390 | + | 0.432021i | ||||
\(628\) | −199.523 | − | 199.523i | −0.317712 | − | 0.317712i | ||||
\(629\) | 55.5699i | 0.0883465i | ||||||||
\(630\) | −818.678 | − | 190.628i | −1.29949 | − | 0.302584i | ||||
\(631\) | −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 | ||||
\(633\) | 508.747 | + | 964.911i | 0.803708 | + | 1.52435i | ||||
\(634\) | 964.221i | 1.52085i | ||||||||
\(635\) | −652.506 | − | 815.387i | −1.02757 | − | 1.28407i | ||||
\(636\) | −410.524 | − | 127.076i | −0.645479 | − | 0.199805i | ||||
\(637\) | −137.304 | − | 759.537i | −0.215547 | − | 1.19237i | ||||
\(638\) | 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 | \(0.891577\pi\) | |||||||
\(642\) | 369.300 | − | 194.712i | 0.575233 | − | 0.303290i | ||||
\(643\) | 251.455 | + | 251.455i | 0.391065 | + | 0.391065i | 0.875067 | − | 0.484002i | \(-0.160817\pi\) |
−0.484002 | + | 0.875067i | \(0.660817\pi\) | |||||||
\(644\) | 31.5758 | + | 60.3388i | 0.0490307 | + | 0.0936938i | ||||
\(645\) | −733.101 | − | 319.240i | −1.13659 | − | 0.494946i | ||||
\(646\) | 27.2087 | 0.0421188 | ||||||||
\(647\) | −245.105 | − | 245.105i | −0.378832 | − | 0.378832i | 0.491848 | − | 0.870681i | \(-0.336321\pi\) |
−0.870681 | + | 0.491848i | \(0.836321\pi\) | |||||||
\(648\) | 76.6743 | − | 173.855i | 0.118325 | − | 0.268295i | ||||
\(649\) | 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 | \(-0.161349\pi\) |
−0.485463 | + | 0.874257i | \(0.661349\pi\) | |||||||
\(654\) | −127.378 | + | 411.499i | −0.194767 | + | 0.629203i | ||||
\(655\) | −652.366 | − | 72.3882i | −0.995979 | − | 0.110516i | ||||
\(656\) | −128.576 | −0.196000 | ||||||||
\(657\) | 692.588 | − | 129.623i | 1.05417 | − | 0.197295i | ||||
\(658\) | −43.8340 | + | 140.075i | −0.0666170 | + | 0.212880i | ||||
\(659\) | 508.205 | 0.771176 | 0.385588 | − | 0.922671i | \(-0.373999\pi\) | ||||
0.385588 | + | 0.922671i | \(0.373999\pi\) | |||||||
\(660\) | −306.792 | − | 780.091i | −0.464836 | − | 1.18196i | ||||
\(661\) | − | 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 | ||||
\(663\) | 39.4215 | − | 20.7849i | 0.0594592 | − | 0.0313497i | ||||
\(664\) | 140.127 | 0.211034 | ||||||||
\(665\) | −152.154 | + | 346.479i | −0.228803 | + | 0.521021i | ||||
\(666\) | −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 | ||||||||
\(672\) | −484.257 | + | 702.593i | −0.720620 | + | 1.04553i | ||||
\(673\) | 335.327 | − | 335.327i | 0.498257 | − | 0.498257i | −0.412638 | − | 0.910895i | \(-0.635393\pi\) |
0.910895 | + | 0.412638i | \(0.135393\pi\) | |||||||
\(674\) | 849.936 | 1.26103 | ||||||||
\(675\) | 637.211 | + | 222.681i | 0.944017 | + | 0.329897i | ||||
\(676\) | 246.944 | 0.365302 | ||||||||
\(677\) | 164.817 | + | 164.817i | 0.243452 | + | 0.243452i | 0.818277 | − | 0.574825i | \(-0.194930\pi\) |
−0.574825 | + | 0.818277i | \(0.694930\pi\) | |||||||
\(678\) | −441.092 | − | 836.593i | −0.650578 | − | 1.23391i | ||||
\(679\) | 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 | −0.999314 | − | 0.0370224i | \(-0.988213\pi\) |
−0.0370224 | − | 0.999314i | \(-0.511787\pi\) | |||||||
\(684\) | 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 | ||||
\(687\) | 117.758 | + | 223.346i | 0.171410 | + | 0.325103i | ||||
\(688\) | −706.505 | + | 706.505i | −1.02690 | + | 1.02690i | ||||
\(689\) | 723.002i | 1.04935i | ||||||||
\(690\) | −45.6672 | − | 116.120i | −0.0661844 | − | 0.168290i | ||||
\(691\) | 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 | ||||
\(693\) | 886.217 | − | 697.988i | 1.27881 | − | 1.00720i | ||||
\(694\) | 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 | ||||
\(700\) | −472.798 | − | 273.412i | −0.675426 | − | 0.390588i | ||||
\(701\) | − | 354.991i | − | 0.506406i | −0.967413 | − | 0.253203i | \(-0.918516\pi\) | ||
0.967413 | − | 0.253203i | \(-0.0814841\pi\) | |||||||
\(702\) | 1127.41 | + | 130.425i | 1.60599 | + | 0.185791i | ||||
\(703\) | 450.491 | + | 450.491i | 0.640812 | + | 0.640812i | ||||
\(704\) | −599.095 | −0.850987 | ||||||||
\(705\) | 47.0566 | − | 108.061i | 0.0667470 | − | 0.153277i | ||||
\(706\) | 1153.91i | 1.63443i | ||||||||
\(707\) | −24.9233 | + | 79.6444i | −0.0352521 | + | 0.112651i | ||||
\(708\) | −436.209 | − | 827.332i | −0.616114 | − | 1.16855i | ||||
\(709\) | 637.022i | 0.898479i | 0.893411 | + | 0.449240i | \(0.148305\pi\) | ||||
−0.893411 | + | 0.449240i | \(0.851695\pi\) | |||||||
\(710\) | −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 | ||||||||
\(717\) | −26.7035 | − | 50.6470i | −0.0372434 | − | 0.0706374i | ||||
\(718\) | 673.208 | − | 673.208i | 0.937616 | − | 0.937616i | ||||
\(719\) | − | 435.697i | − | 0.605976i | −0.952994 | − | 0.302988i | \(-0.902016\pi\) | ||
0.952994 | − | 0.302988i | \(-0.0979843\pi\) | |||||||
\(720\) | 550.365 | − | 639.157i | 0.764396 | − | 0.887717i | ||||
\(721\) | 214.318 | − | 112.154i | 0.297251 | − | 0.155554i | ||||
\(722\) | −460.603 | + | 460.603i | −0.637955 | + | 0.637955i | ||||
\(723\) | 916.661 | − | 483.307i | 1.26786 | − | 0.668475i | ||||
\(724\) | −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 | 0.0426819 | − | 0.999089i | \(-0.486410\pi\) |
0.999089 | − | 0.0426819i | \(-0.0135902\pi\) | |||||||
\(728\) | 246.856 | + | 77.2490i | 0.339087 | + | 0.106111i | ||||
\(729\) | 709.745 | + | 166.443i | 0.973587 | + | 0.228317i | ||||
\(730\) | 1038.22 | + | 115.203i | 1.42222 | + | 0.157813i | ||||
\(731\) | −50.2711 | −0.0687703 | ||||||||
\(732\) | −195.091 | − | 370.017i | −0.266517 | − | 0.505488i | ||||
\(733\) | −672.443 | − | 672.443i | −0.917385 | − | 0.917385i | 0.0794540 | − | 0.996839i | \(-0.474682\pi\) |
−0.996839 | + | 0.0794540i | \(0.974682\pi\) | |||||||
\(734\) | 699.372i | 0.952823i | ||||||||
\(735\) | 168.894 | − | 715.332i | 0.229788 | − | 0.973241i | ||||
\(736\) | −126.667 | −0.172102 | ||||||||
\(737\) | −322.736 | + | 322.736i | −0.437906 | + | 0.437906i | ||||
\(738\) | −30.3075 | − | 161.936i | −0.0410670 | − | 0.219425i | ||||
\(739\) | 540.207i | 0.730997i | 0.930812 | + | 0.365498i | \(0.119101\pi\) | ||||
−0.930812 | + | 0.365498i | \(0.880899\pi\) | |||||||
\(740\) | −717.927 | + | 574.514i | −0.970171 | + | 0.776371i | ||||
\(741\) | 151.082 | − | 488.077i | 0.203889 | − | 0.658673i | ||||
\(742\) | 256.055 | − | 818.246i | 0.345088 | − | 1.10276i | ||||
\(743\) | −164.151 | − | 164.151i | −0.220931 | − | 0.220931i | 0.587960 | − | 0.808890i | \(-0.299931\pi\) |
−0.808890 | + | 0.587960i | \(0.799931\pi\) | |||||||
\(744\) | −175.528 | − | 54.3337i | −0.235924 | − | 0.0730292i | ||||
\(745\) | −459.497 | − | 50.9869i | −0.616774 | − | 0.0684388i | ||||
\(746\) | 875.339i | 1.17338i | ||||||||
\(747\) | 98.9005 | + | 528.436i | 0.132397 | + | 0.707411i | ||||
\(748\) | −37.2655 | − | 37.2655i | −0.0498202 | − | 0.0498202i | ||||
\(749\) | 169.258 | + | 323.439i | 0.225979 | + | 0.431827i | ||||
\(750\) | 807.568 | + | 590.943i | 1.07676 | + | 0.787923i | ||||
\(751\) | −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 | ||||
\(753\) | 355.304 | + | 673.883i | 0.471851 | + | 0.894932i | ||||
\(754\) | −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 | 0.455906 | − | 0.890028i | \(-0.349315\pi\) |
−0.890028 | + | 0.455906i | \(0.849315\pi\) | |||||||
\(758\) | −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 | \(0.723940\pi\) | |||||||
\(762\) | −779.842 | − | 1479.08i | −1.02342 | − | 1.94105i | ||||
\(763\) | −359.468 | − | 112.489i | −0.471124 | − | 0.147430i | ||||
\(764\) | −375.240 | −0.491152 | ||||||||
\(765\) | 42.3200 | − | 3.15895i | 0.0553203 | − | 0.00412935i | ||||
\(766\) | − | 1332.26i | − | 1.73924i | ||||||
\(767\) | −1112.65 | + | 1112.65i | −1.45066 | + | 1.45066i | ||||
\(768\) | −460.760 | − | 873.897i | −0.599948 | − | 1.13789i | ||||
\(769\) | 293.762 | 0.382006 | 0.191003 | − | 0.981589i | \(-0.438826\pi\) | ||||
0.191003 | + | 0.981589i | \(0.438826\pi\) | |||||||
\(770\) | 1558.23 | − | 607.268i | 2.02368 | − | 0.788660i | ||||
\(771\) | 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 | −0.917182 | − | 0.398469i | \(-0.869542\pi\) |
0.398469 | + | 0.917182i | \(0.369542\pi\) | |||||||
\(774\) | −1056.35 | − | 723.277i | −1.36479 | − | 0.934467i | ||||
\(775\) | 143.097 | − | 636.858i | 0.184641 | − | 0.821752i | ||||
\(776\) | −37.1298 | −0.0478477 | ||||||||
\(777\) | −1018.86 | − | 702.242i | −1.31128 | − | 0.903787i | ||||
\(778\) | 420.713 | − | 420.713i | 0.540763 | − | 0.540763i | ||||
\(779\) | −74.1668 | −0.0952077 | ||||||||
\(780\) | 676.089 | + | 294.413i | 0.866780 | + | 0.377453i | ||||
\(781\) | 113.806 | 0.145719 | ||||||||
\(782\) | −5.54713 | − | 5.54713i | −0.00709351 | − | 0.00709351i | ||||
\(783\) | −616.104 | − | 71.2746i | −0.786850 | − | 0.0910276i | ||||
\(784\) | −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 | 0.303265 | − | 0.952906i | \(-0.401923\pi\) |
0.952906 | − | 0.303265i | \(-0.0980766\pi\) | |||||||
\(788\) | 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 | ||||
\(792\) | 69.5454 | + | 371.588i | 0.0878098 | + | 0.469177i | ||||
\(793\) | −497.625 | + | 497.625i | −0.627522 | + | 0.627522i | ||||
\(794\) | − | 1957.15i | − | 2.46492i | ||||||
\(795\) | −274.880 | + | 631.233i | −0.345761 | + | 0.794004i | ||||
\(796\) | 939.895i | 1.18077i | ||||||||
\(797\) | 0.660026 | + | 0.660026i | 0.000828138 | + | 0.000828138i | 0.707521 | − | 0.706693i | \(-0.249814\pi\) |
−0.706693 | + | 0.707521i | \(0.749814\pi\) | |||||||
\(798\) | −343.839 | + | 498.866i | −0.430877 | + | 0.625146i | ||||
\(799\) | − | 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 | ||||
\(805\) | 101.658 | − | 39.6176i | 0.126283 | − | 0.0492144i | ||||
\(806\) | − | 1097.49i | − | 1.36165i | ||||||
\(807\) | 1064.03 | − | 561.008i | 1.31850 | − | 0.695178i | ||||
\(808\) | −19.7754 | − | 19.7754i | −0.0244745 | − | 0.0244745i | ||||
\(809\) | 327.649 | 0.405006 | 0.202503 | − | 0.979282i | \(-0.435092\pi\) | ||||
0.202503 | + | 0.979282i | \(0.435092\pi\) | |||||||
\(810\) | 934.720 | + | 542.502i | 1.15398 | + | 0.669755i | ||||
\(811\) | 729.399i | 0.899382i | 0.893184 | + | 0.449691i | \(0.148466\pi\) | ||||
−0.893184 | + | 0.449691i | \(0.851534\pi\) | |||||||
\(812\) | 478.929 | + | 149.872i | 0.589814 | + | 0.184572i | ||||
\(813\) | −1050.43 | + | 553.837i | −1.29204 | + | 0.681227i | ||||
\(814\) | − | 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 | \(0.918935\pi\) | |||||||
\(822\) | −682.168 | + | 359.672i | −0.829888 | + | 0.437557i | ||||
\(823\) | 537.571 | − | 537.571i | 0.653184 | − | 0.653184i | −0.300574 | − | 0.953758i | \(-0.597178\pi\) |
0.953758 | + | 0.300574i | \(0.0971783\pi\) | |||||||
\(824\) | 81.0616i | 0.0983757i | ||||||||
\(825\) | −1296.36 | + | 350.678i | −1.57135 | + | 0.425064i | ||||
\(826\) | 1653.28 | − | 865.175i | 2.00155 | − | 1.04743i | ||||
\(827\) | 652.909 | − | 652.909i | 0.789491 | − | 0.789491i | −0.191920 | − | 0.981411i | \(-0.561471\pi\) |
0.981411 | + | 0.191920i | \(0.0614714\pi\) | |||||||
\(828\) | −16.1076 | − | 86.0646i | −0.0194536 | − | 0.103943i | ||||
\(829\) | −167.399 | −0.201928 | −0.100964 | − | 0.994890i | \(-0.532193\pi\) | ||||
−0.100964 | + | 0.994890i | \(0.532193\pi\) | |||||||
\(830\) | −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 | ||||
\(833\) | −8.22028 | − | 45.4729i | −0.00986828 | − | 0.0545894i | ||||
\(834\) | −230.295 | − | 71.2869i | −0.276134 | − | 0.0854759i | ||||
\(835\) | −255.060 | − | 318.729i | −0.305461 | − | 0.381712i | ||||
\(836\) | −604.204 | −0.722732 | ||||||||
\(837\) | 81.0132 | − | 700.284i | 0.0967899 | − | 0.836660i | ||||
\(838\) | 783.255 | + | 783.255i | 0.934672 | + | 0.934672i | ||||
\(839\) | − | 906.507i | − | 1.08046i | −0.841517 | − | 0.540231i | \(-0.818337\pi\) | ||
0.841517 | − | 0.540231i | \(-0.181663\pi\) | |||||||
\(840\) | 186.153 | + | 161.296i | 0.221611 | + | 0.192020i | ||||
\(841\) | −313.340 | −0.372581 | ||||||||
\(842\) | 803.590 | − | 803.590i | 0.954383 | − | 0.954383i | ||||
\(843\) | 756.023 | − | 398.611i | 0.896824 | − | 0.472848i | ||||
\(844\) | 1134.78i | 1.34453i | ||||||||
\(845\) | 43.6319 | − | 393.213i | 0.0516354 | − | 0.465341i | ||||
\(846\) | 106.612 | − | 155.708i | 0.126020 | − | 0.184051i | ||||
\(847\) | −417.330 | + | 1333.61i | −0.492715 | + | 1.57451i | ||||
\(848\) | 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 | ||||||
\(852\) | −27.7538 | − | 52.6390i | −0.0325749 | − | 0.0617828i | ||||
\(853\) | 759.174 | + | 759.174i | 0.890005 | + | 0.890005i | 0.994523 | − | 0.104518i | \(-0.0333301\pi\) |
−0.104518 | + | 0.994523i | \(0.533330\pi\) | |||||||
\(854\) | 739.415 | − | 386.942i | 0.865826 | − | 0.453094i | ||||
\(855\) | 317.468 | − | 368.686i | 0.371308 | − | 0.431212i | ||||
\(856\) | −122.335 | −0.142914 | ||||||||
\(857\) | −188.854 | − | 188.854i | −0.220366 | − | 0.220366i | 0.588287 | − | 0.808652i | \(-0.299803\pi\) |
−0.808652 | + | 0.588287i | \(0.799803\pi\) | |||||||
\(858\) | −1997.38 | + | 1053.11i | −2.32795 | + | 1.22741i | ||||
\(859\) | −997.171 | −1.16085 | −0.580425 | − | 0.814313i | \(-0.697114\pi\) | ||||
−0.580425 | + | 0.814313i | \(0.697114\pi\) | |||||||
\(860\) | −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 | 0.983961 | + | 0.178383i | \(0.0570866\pi\) |
0.178383 | + | 0.983961i | \(0.442913\pi\) | |||||||
\(864\) | 859.791 | − | 681.486i | 0.995128 | − | 0.788757i | ||||
\(865\) | 988.857 | − | 791.324i | 1.14319 | − | 0.914825i | ||||
\(866\) | −1425.51 | −1.64609 | ||||||||
\(867\) | −764.569 | + | 403.117i | −0.881856 | + | 0.464957i | ||||
\(868\) | −170.350 | + | 544.367i | −0.196256 | + | 0.627151i | ||||
\(869\) | −1070.48 | −1.23185 | ||||||||
\(870\) | −843.005 | − | 367.099i | −0.968972 | − | 0.421953i | ||||
\(871\) | − | 401.512i | − | 0.460978i | ||||||
\(872\) | 89.2544 | − | 89.2544i | 0.102356 | − | 0.102356i | ||||
\(873\) | −26.2060 | − | 140.021i | −0.0300183 | − | 0.160391i | ||||
\(874\) | −89.9382 | −0.102904 | ||||||||
\(875\) | −518.896 | + | 704.537i | −0.593024 | + | 0.805185i | ||||
\(876\) | 700.234 | + | 216.754i | 0.799354 | + | 0.247436i | ||||
\(877\) | −1130.81 | − | 1130.81i | −1.28940 | − | 1.28940i | −0.935150 | − | 0.354252i | \(-0.884736\pi\) |
−0.354252 | − | 0.935150i | \(-0.615264\pi\) | |||||||
\(878\) | −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 | \(0.354257\pi\) | |||||||
\(882\) | 481.511 | − | 1073.79i | 0.545931 | − | 1.21745i | ||||
\(883\) | 311.479 | − | 311.479i | 0.352751 | − | 0.352751i | −0.508381 | − | 0.861132i | \(-0.669756\pi\) |
0.861132 | + | 0.508381i | \(0.169756\pi\) | |||||||
\(884\) | 46.3616 | 0.0524452 | ||||||||
\(885\) | −1394.45 | + | 548.404i | −1.57565 | + | 0.619665i | ||||
\(886\) | −1828.38 | −2.06363 | ||||||||
\(887\) | 534.557 | + | 534.557i | 0.602657 | + | 0.602657i | 0.941017 | − | 0.338360i | \(-0.109872\pi\) |
−0.338360 | + | 0.941017i | \(0.609872\pi\) | |||||||
\(888\) | 366.820 | − | 193.405i | 0.413086 | − | 0.217799i | ||||
\(889\) | 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 | ||||
\(897\) | −130.307 | + | 68.7042i | −0.145270 | + | 0.0765933i | ||||
\(898\) | −1511.81 | + | 1511.81i | −1.68353 | + | 1.68353i | ||||
\(899\) | 599.756i | 0.667137i | ||||||||
\(900\) | 478.340 | + | 514.087i | 0.531489 | + | 0.571208i | ||||
\(901\) | 43.2856i | 0.0480418i | ||||||||
\(902\) | 231.772 | + | 231.772i | 0.256954 | + | 0.256954i | ||||
\(903\) | 635.280 | − | 921.709i | 0.703522 | − | 1.02072i | ||||
\(904\) | 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 | 0.821580 | − | 0.570093i | \(-0.193093\pi\) |
−0.570093 | + | 0.821580i | \(0.693093\pi\) | |||||||
\(908\) | 595.971 | − | 595.971i | 0.656356 | − | 0.656356i | ||||
\(909\) | 60.6180 | − | 88.5326i | 0.0666865 | − | 0.0973956i | ||||
\(910\) | −591.542 | + | 1347.04i | −0.650046 | + | 1.48026i | ||||
\(911\) | − | 4.69642i | − | 0.00515524i | −0.999997 | − | 0.00257762i | \(-0.999180\pi\) | ||
0.999997 | − | 0.00257762i | \(-0.000820483\pi\) | |||||||
\(912\) | −283.547 | − | 537.786i | −0.310906 | − | 0.589678i | ||||
\(913\) | −756.328 | − | 756.328i | −0.828399 | − | 0.828399i | ||||
\(914\) | −1539.27 | −1.68410 | ||||||||
\(915\) | −623.655 | + | 245.269i | −0.681590 | + | 0.268054i | ||||
\(916\) | 262.665i | 0.286752i | ||||||||
\(917\) | 274.435 | − | 876.981i | 0.299275 | − | 0.956359i | ||||
\(918\) | 67.4970 | + | 7.80847i | 0.0735262 | + | 0.00850596i | ||||
\(919\) | − | 920.349i | − | 1.00147i | −0.865601 | − | 0.500734i | \(-0.833063\pi\) | ||
0.865601 | − | 0.500734i | \(-0.166937\pi\) | |||||||
\(920\) | −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 | ||||||
\(927\) | −305.693 | + | 57.2126i | −0.329766 | + | 0.0617181i | ||||
\(928\) | −660.010 | + | 660.010i | −0.711218 | + | 0.711218i | ||||
\(929\) | − | 1603.42i | − | 1.72597i | −0.505233 | − | 0.862983i | \(-0.668593\pi\) | ||
0.505233 | − | 0.862983i | \(-0.331407\pi\) | |||||||
\(930\) | 417.258 | − | 958.189i | 0.448664 | − | 1.03031i | ||||
\(931\) | −435.277 | − | 301.998i | −0.467537 | − | 0.324380i | ||||
\(932\) | −709.901 | + | 709.901i | −0.761697 | + | 0.761697i | ||||
\(933\) | 580.604 | + | 1101.20i | 0.622298 | + | 1.18028i | ||||
\(934\) | 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 | \(-0.974248\pi\) |
0.0808153 | + | 0.996729i | \(0.474248\pi\) | |||||||
\(938\) | −142.198 | + | 454.405i | −0.151597 | + | 0.484440i | ||||
\(939\) | −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 | \(0.710400\pi\) | |||||||
\(942\) | −640.253 | + | 337.572i | −0.679674 | + | 0.358356i | ||||
\(943\) | 15.1206 | + | 15.1206i | 0.0160346 | + | 0.0160346i | ||||
\(944\) | 1872.37i | 1.98344i | ||||||||
\(945\) | −476.883 | + | 815.848i | −0.504638 | + | 0.863331i | ||||
\(946\) | 2547.10 | 2.69250 | ||||||||
\(947\) | −119.546 | + | 119.546i | −0.126236 | + | 0.126236i | −0.767402 | − | 0.641166i | \(-0.778451\pi\) |
0.641166 | + | 0.767402i | \(0.278451\pi\) | |||||||
\(948\) | 261.056 | + | 495.130i | 0.275376 | + | 0.522289i | ||||
\(949\) | − | 1233.23i | − | 1.29950i | ||||||
\(950\) | 609.432 | − | 385.810i | 0.641508 | − | 0.406115i | ||||
\(951\) | 1035.53 | + | 320.542i | 1.08888 | + | 0.337058i | ||||
\(952\) | 14.7791 | + | 4.62484i | 0.0155242 | + | 0.00485803i | ||||
\(953\) | −567.636 | − | 567.636i | −0.595631 | − | 0.595631i | 0.343516 | − | 0.939147i | \(-0.388382\pi\) |
−0.939147 | + | 0.343516i | \(0.888382\pi\) | |||||||
\(954\) | −622.774 | + | 909.561i | −0.652803 | + | 0.953419i | ||||
\(955\) | −66.3003 | + | 597.502i | −0.0694244 | + | 0.625657i | ||||
\(956\) | − | 59.5634i | − | 0.0623048i | ||||||
\(957\) | 1091.53 | − | 575.505i | 1.14057 | − | 0.601363i | ||||
\(958\) | −1639.16 | − | 1639.16i | −1.71102 | − | 1.71102i | ||||
\(959\) | −312.653 | − | 597.454i | −0.326019 | − | 0.622997i | ||||
\(960\) | 467.045 | − | 183.678i | 0.486506 | − | 0.191331i | ||||
\(961\) | 279.297 | 0.290632 | ||||||||
\(962\) | 1751.41 | + | 1751.41i | 1.82060 | + | 1.82060i | ||||
\(963\) | −86.3428 | − | 461.339i | −0.0896602 | − | 0.479064i | ||||
\(964\) | 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 | 0.652157 | − | 0.758084i | \(-0.273864\pi\) |
−0.758084 | + | 0.652157i | \(0.773864\pi\) | |||||||
\(968\) | −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 | \(0.373236\pi\) | |||||||
\(972\) | 572.374 | + | 497.528i | 0.588862 | + | 0.511860i | ||||
\(973\) | 62.9545 | − | 201.176i | 0.0647014 | − | 0.206759i | ||||
\(974\) | 7.08418 | 0.00727328 | ||||||||
\(975\) | 588.256 | − | 1024.53i | 0.603339 | − | 1.05080i | ||||
\(976\) | 837.400i | 0.857992i | ||||||||
\(977\) | −755.362 | + | 755.362i | −0.773145 | + | 0.773145i | −0.978655 | − | 0.205510i | \(-0.934115\pi\) |
0.205510 | + | 0.978655i | \(0.434115\pi\) | |||||||
\(978\) | 103.083 | − | 54.3504i | 0.105402 | − | 0.0555730i | ||||
\(979\) | −1046.07 | −1.06850 | ||||||||
\(980\) | 502.494 | − | 576.326i | 0.512749 | − | 0.588088i | ||||
\(981\) | 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 | −0.583866 | − | 0.811850i | \(-0.698461\pi\) |
0.811850 | + | 0.583866i | \(0.198461\pi\) | |||||||
\(984\) | −14.2752 | + | 46.1165i | −0.0145073 | + | 0.0468664i | ||||
\(985\) | 43.1756 | − | 34.5509i | 0.0438331 | − | 0.0350770i | ||||
\(986\) | −57.8076 | −0.0586284 | ||||||||
\(987\) | 135.862 | + | 93.6416i | 0.137651 | + | 0.0948750i | ||||
\(988\) | 375.841 | − | 375.841i | 0.380406 | − | 0.380406i | ||||
\(989\) | 166.170 | 0.168019 | ||||||||
\(990\) | −2144.24 | + | 160.056i | −2.16590 | + | 0.161672i | ||||
\(991\) | −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 | ||||
\(993\) | −207.806 | − | 394.134i | −0.209271 | − | 0.396912i | ||||
\(994\) | 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 | \(-0.689615\pi\) |
0.827759 | + | 0.561084i | \(0.189615\pi\) | |||||||
\(998\) | 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.62.11 | yes | 32 | |
3.2 | odd | 2 | inner | 105.3.k.d.62.5 | ✓ | 32 | |
5.3 | odd | 4 | inner | 105.3.k.d.83.6 | yes | 32 | |
7.6 | odd | 2 | inner | 105.3.k.d.62.12 | yes | 32 | |
15.8 | even | 4 | inner | 105.3.k.d.83.12 | yes | 32 | |
21.20 | even | 2 | inner | 105.3.k.d.62.6 | yes | 32 | |
35.13 | even | 4 | inner | 105.3.k.d.83.5 | yes | 32 | |
105.83 | odd | 4 | inner | 105.3.k.d.83.11 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.k.d.62.5 | ✓ | 32 | 3.2 | odd | 2 | inner | |
105.3.k.d.62.6 | yes | 32 | 21.20 | even | 2 | inner | |
105.3.k.d.62.11 | yes | 32 | 1.1 | even | 1 | trivial | |
105.3.k.d.62.12 | yes | 32 | 7.6 | odd | 2 | inner | |
105.3.k.d.83.5 | yes | 32 | 35.13 | even | 4 | inner | |
105.3.k.d.83.6 | yes | 32 | 5.3 | odd | 4 | inner | |
105.3.k.d.83.11 | yes | 32 | 105.83 | odd | 4 | inner | |
105.3.k.d.83.12 | yes | 32 | 15.8 | even | 4 | inner |