Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [927,2,Mod(19,927)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(927, base_ring=CyclotomicField(102))
chi = DirichletCharacter(H, H._module([0, 80]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("927.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 927 = 3^{2} \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 927.ba (of order \(51\), degree \(32\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.40213226737\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{51})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{51}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Character | \(\chi\) | \(=\) | 927.19 |
Dual form | 927.2.ba.e.244.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/927\mathbb{Z}\right)^\times\).
\(n\) | \(722\) | \(829\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{40}{51}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0760154 | + | 2.46726i | −0.0537510 | + | 1.74461i | 0.461112 | + | 0.887342i | \(0.347451\pi\) |
−0.514863 | + | 0.857272i | \(0.672157\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −4.08537 | − | 0.251977i | −2.04269 | − | 0.125989i | ||||
\(5\) | −1.39599 | + | 1.12335i | −0.624304 | + | 0.502375i | −0.886554 | − | 0.462625i | \(-0.846908\pi\) |
0.262251 | + | 0.965000i | \(0.415535\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.25142 | + | 1.95596i | 1.60688 | + | 0.739284i | 0.998521 | − | 0.0543746i | \(-0.0173165\pi\) |
0.608363 | + | 0.793659i | \(0.291826\pi\) | |||||||
\(8\) | 0.476728 | − | 5.14471i | 0.168549 | − | 1.81893i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.66547 | − | 3.52965i | −0.842894 | − | 1.11617i | ||||
\(11\) | −0.187871 | + | 0.100885i | −0.0566453 | + | 0.0304179i | −0.501172 | − | 0.865348i | \(-0.667097\pi\) |
0.444526 | + | 0.895766i | \(0.353372\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.503740 | + | 5.43622i | 0.139712 | + | 1.50774i | 0.720372 | + | 0.693588i | \(0.243971\pi\) |
−0.580659 | + | 0.814147i | \(0.697205\pi\) | |||||||
\(14\) | −5.14903 | + | 10.3407i | −1.37614 | + | 2.76366i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.53287 | + | 0.561291i | 1.13322 | + | 0.140323i | ||||
\(17\) | −3.57573 | + | 1.13752i | −0.867242 | + | 0.275890i | −0.703571 | − | 0.710625i | \(-0.748412\pi\) |
−0.163671 | + | 0.986515i | \(0.552334\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.23995 | − | 3.34131i | 0.743296 | − | 0.766549i | −0.235392 | − | 0.971900i | \(-0.575638\pi\) |
0.978688 | + | 0.205351i | \(0.0658336\pi\) | |||||||
\(20\) | 5.98618 | − | 4.23753i | 1.33855 | − | 0.947540i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.234627 | − | 0.471195i | −0.0500227 | − | 0.100459i | ||||
\(23\) | −3.09247 | + | 1.91478i | −0.644826 | + | 0.399259i | −0.809526 | − | 0.587085i | \(-0.800276\pi\) |
0.164700 | + | 0.986344i | \(0.447334\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.382795 | + | 1.74789i | −0.0765590 | + | 0.349579i | ||||
\(26\) | −13.4508 | + | 0.829619i | −2.63793 | + | 0.162702i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −16.8758 | − | 9.06209i | −3.18922 | − | 1.71257i | ||||
\(29\) | 0.799399 | + | 5.14981i | 0.148445 | + | 0.956296i | 0.939003 | + | 0.343909i | \(0.111751\pi\) |
−0.790558 | + | 0.612387i | \(0.790209\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.50349 | − | 1.99094i | 0.270035 | − | 0.357584i | −0.642713 | − | 0.766107i | \(-0.722191\pi\) |
0.912748 | + | 0.408523i | \(0.133956\pi\) | |||||||
\(32\) | −0.144342 | + | 0.929866i | −0.0255163 | + | 0.164379i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.53475 | − | 8.90871i | −0.434706 | − | 1.52783i | ||||
\(35\) | −8.13213 | + | 2.04531i | −1.37458 | + | 0.345721i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.52794 | + | 0.659487i | −0.579990 | + | 0.108419i | −0.465566 | − | 0.885013i | \(-0.654149\pi\) |
−0.114424 | + | 0.993432i | \(0.536502\pi\) | |||||||
\(38\) | 7.99759 | + | 8.24778i | 1.29738 | + | 1.33797i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.11378 | + | 7.71747i | 0.808560 | + | 1.22024i | ||||
\(41\) | −7.51890 | − | 6.05043i | −1.17425 | − | 0.944919i | −0.175040 | − | 0.984561i | \(-0.556006\pi\) |
−0.999214 | + | 0.0396425i | \(0.987378\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.05309 | − | 2.98846i | −0.160595 | − | 0.455736i | 0.834916 | − | 0.550377i | \(-0.185516\pi\) |
−0.995511 | + | 0.0946411i | \(0.969830\pi\) | |||||||
\(44\) | 0.792945 | − | 0.364812i | 0.119541 | − | 0.0549975i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.48918 | − | 7.77548i | −0.661893 | − | 1.14643i | ||||
\(47\) | 1.73543 | − | 3.00586i | 0.253139 | − | 0.438449i | −0.711250 | − | 0.702940i | \(-0.751870\pi\) |
0.964388 | + | 0.264490i | \(0.0852038\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 9.69442 | + | 11.3154i | 1.38492 | + | 1.61648i | ||||
\(50\) | −4.28341 | − | 1.07732i | −0.605765 | − | 0.152356i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.688162 | − | 22.3359i | −0.0954308 | − | 3.09743i | ||||
\(53\) | 12.1347 | + | 3.05201i | 1.66683 | + | 0.419226i | 0.958142 | − | 0.286293i | \(-0.0924230\pi\) |
0.708692 | + | 0.705518i | \(0.249286\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.148937 | − | 0.351878i | 0.0200827 | − | 0.0474472i | ||||
\(56\) | 12.0896 | − | 20.9399i | 1.61554 | − | 2.79821i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −12.7667 | + | 1.58086i | −1.67635 | + | 0.207577i | ||||
\(59\) | 7.60879 | − | 3.50060i | 0.990580 | − | 0.455739i | 0.144909 | − | 0.989445i | \(-0.453711\pi\) |
0.845670 | + | 0.533706i | \(0.179201\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.09150 | − | 5.55314i | −0.779937 | − | 0.711006i | 0.182293 | − | 0.983244i | \(-0.441648\pi\) |
−0.962230 | + | 0.272238i | \(0.912236\pi\) | |||||||
\(62\) | 4.79788 | + | 3.86084i | 0.609331 | + | 0.490327i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.69619 | + | 1.25173i | 0.837023 | + | 0.156467i | ||||
\(65\) | −6.80996 | − | 7.02300i | −0.844672 | − | 0.871097i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.84293 | − | 6.96767i | −1.20251 | − | 0.851236i | −0.210521 | − | 0.977589i | \(-0.567516\pi\) |
−0.991985 | + | 0.126353i | \(0.959673\pi\) | |||||||
\(68\) | 14.8948 | − | 3.74620i | 1.80626 | − | 0.454293i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.42815 | − | 20.2195i | −0.529265 | − | 2.41670i | ||||
\(71\) | 1.00182 | − | 6.45385i | 0.118894 | − | 0.765931i | −0.851491 | − | 0.524369i | \(-0.824301\pi\) |
0.970386 | − | 0.241562i | \(-0.0776596\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.26958 | + | 1.65404i | −0.499716 | + | 0.193591i | −0.597890 | − | 0.801578i | \(-0.703994\pi\) |
0.0981739 | + | 0.995169i | \(0.468700\pi\) | |||||||
\(74\) | −1.35895 | − | 8.75447i | −0.157974 | − | 1.01769i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −14.0783 | + | 12.8341i | −1.61490 | + | 1.47217i | ||||
\(77\) | −0.996045 | + | 0.0614340i | −0.113510 | + | 0.00700105i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.01983 | − | 2.33210i | −0.677284 | − | 0.262381i | −0.00206427 | − | 0.999998i | \(-0.500657\pi\) |
−0.675220 | + | 0.737617i | \(0.735951\pi\) | |||||||
\(80\) | −6.95834 | + | 4.30842i | −0.777966 | + | 0.481696i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 15.4995 | − | 18.0911i | 1.71164 | − | 1.99783i | ||||
\(83\) | 4.65485 | − | 3.29510i | 0.510936 | − | 0.361684i | −0.293275 | − | 0.956028i | \(-0.594745\pi\) |
0.804211 | + | 0.594344i | \(0.202588\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.71384 | − | 5.60474i | 0.402822 | − | 0.607920i | ||||
\(86\) | 7.45335 | − | 2.37108i | 0.803715 | − | 0.255680i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.429459 | + | 1.01464i | 0.0457805 | + | 0.108161i | ||||
\(89\) | −7.17882 | + | 14.4170i | −0.760953 | + | 1.52820i | 0.0858591 | + | 0.996307i | \(0.472637\pi\) |
−0.846812 | + | 0.531892i | \(0.821481\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8.49142 | + | 24.0969i | −0.890143 | + | 2.52604i | ||||
\(92\) | 13.1164 | − | 7.04335i | 1.36748 | − | 0.734320i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.28430 | + | 4.51025i | 0.751318 | + | 0.465196i | ||||
\(95\) | −0.769479 | + | 8.30401i | −0.0789469 | + | 0.851973i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.52916 | + | 2.39520i | 0.764470 | + | 0.243196i | 0.659932 | − | 0.751325i | \(-0.270585\pi\) |
0.104538 | + | 0.994521i | \(0.466664\pi\) | |||||||
\(98\) | −28.6549 | + | 23.0585i | −2.89458 | + | 2.32926i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.00429 | − | 7.04434i | 0.200429 | − | 0.704434i | ||||
\(101\) | −0.504726 | + | 16.3820i | −0.0502221 | + | 1.63007i | 0.553478 | + | 0.832864i | \(0.313300\pi\) |
−0.603700 | + | 0.797211i | \(0.706308\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.14859 | + | 9.64813i | 0.310240 | + | 0.950658i | ||||
\(104\) | 28.2079 | 2.76601 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.45251 | + | 29.7075i | −0.820981 | + | 2.88545i | ||||
\(107\) | −4.60013 | − | 0.283726i | −0.444711 | − | 0.0274288i | −0.162342 | − | 0.986735i | \(-0.551905\pi\) |
−0.282369 | + | 0.959306i | \(0.591120\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.18624 | − | 0.695493i | −0.209404 | − | 0.0666162i | 0.196615 | − | 0.980481i | \(-0.437005\pi\) |
−0.406019 | + | 0.913865i | \(0.633083\pi\) | |||||||
\(110\) | 0.856852 | + | 0.394214i | 0.0816976 | + | 0.0375869i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 18.1732 | + | 11.2524i | 1.71721 | + | 1.06325i | ||||
\(113\) | 10.1075 | + | 13.3844i | 0.950830 | + | 1.25910i | 0.965820 | + | 0.259215i | \(0.0834638\pi\) |
−0.0149894 | + | 0.999888i | \(0.504771\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.16609 | − | 6.14692i | 0.201989 | − | 0.573203i | ||||
\(116\) | −1.96821 | − | 21.2403i | −0.182743 | − | 1.97212i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.05849 | + | 19.0389i | 0.741844 | + | 1.75268i | ||||
\(119\) | −17.4269 | − | 2.15791i | −1.59752 | − | 0.197816i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.05090 | + | 9.13172i | −0.550082 | + | 0.830156i | ||||
\(122\) | 14.1641 | − | 14.6072i | 1.28235 | − | 1.32247i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.64399 | + | 7.75490i | −0.596648 | + | 0.696410i | ||||
\(125\) | −5.42257 | − | 10.8900i | −0.485009 | − | 0.974029i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 14.4124 | + | 5.58339i | 1.27889 | + | 0.495446i | 0.902370 | − | 0.430961i | \(-0.141825\pi\) |
0.376523 | + | 0.926407i | \(0.377120\pi\) | |||||||
\(128\) | −3.99999 | + | 18.2645i | −0.353552 | + | 1.61437i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 17.8452 | − | 16.2681i | 1.56513 | − | 1.42680i | ||||
\(131\) | −12.3135 | − | 6.61218i | −1.07583 | − | 0.577709i | −0.163242 | − | 0.986586i | \(-0.552195\pi\) |
−0.912590 | + | 0.408877i | \(0.865921\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 20.3099 | − | 7.86808i | 1.76109 | − | 0.682249i | ||||
\(134\) | 17.9392 | − | 23.7554i | 1.54971 | − | 2.05215i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.14757 | + | 18.9384i | 0.355651 | + | 1.62395i | ||||
\(137\) | −0.782343 | − | 2.74965i | −0.0668400 | − | 0.234918i | 0.921207 | − | 0.389074i | \(-0.127205\pi\) |
−0.988047 | + | 0.154155i | \(0.950734\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.502974 | − | 0.356048i | −0.0426617 | − | 0.0301996i | 0.556246 | − | 0.831018i | \(-0.312241\pi\) |
−0.598907 | + | 0.800818i | \(0.704398\pi\) | |||||||
\(140\) | 33.7382 | − | 6.30676i | 2.85140 | − | 0.533018i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 15.8471 | + | 2.96234i | 1.32986 | + | 0.248594i | ||||
\(143\) | −0.643069 | − | 0.970489i | −0.0537762 | − | 0.0811564i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.90097 | − | 6.29106i | −0.573094 | − | 0.522444i | ||||
\(146\) | −3.75639 | − | 10.6599i | −0.310881 | − | 0.882217i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 14.5791 | − | 1.80529i | 1.19840 | − | 0.148394i | ||||
\(149\) | −4.50275 | − | 7.79900i | −0.368880 | − | 0.638919i | 0.620511 | − | 0.784198i | \(-0.286925\pi\) |
−0.989391 | + | 0.145279i | \(0.953592\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.51001 | − | 10.6553i | 0.367019 | − | 0.867117i | −0.628952 | − | 0.777444i | \(-0.716516\pi\) |
0.995971 | − | 0.0896728i | \(-0.0285821\pi\) | |||||||
\(152\) | −15.6455 | − | 18.2615i | −1.26902 | − | 1.48120i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.0758586 | − | 2.46217i | −0.00611286 | − | 0.198407i | ||||
\(155\) | 0.137666 | + | 4.46827i | 0.0110576 | + | 0.358900i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.8104 | + | 12.6180i | 0.862764 | + | 1.00702i | 0.999864 | + | 0.0164650i | \(0.00524121\pi\) |
−0.137101 | + | 0.990557i | \(0.543778\pi\) | |||||||
\(158\) | 6.21148 | − | 14.6752i | 0.494159 | − | 1.16750i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.843061 | − | 1.46022i | −0.0666498 | − | 0.115441i | ||||
\(161\) | −16.8926 | + | 2.09176i | −1.33133 | + | 0.164854i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.624199 | + | 1.77135i | 0.0488910 | + | 0.138743i | 0.965045 | − | 0.262083i | \(-0.0844095\pi\) |
−0.916154 | + | 0.400826i | \(0.868723\pi\) | |||||||
\(164\) | 29.1929 | + | 26.6129i | 2.27958 | + | 2.07811i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.77601 | + | 11.7352i | 0.603536 | + | 0.910827i | ||||
\(167\) | 16.4297 | + | 3.07125i | 1.27137 | + | 0.237661i | 0.775840 | − | 0.630929i | \(-0.217326\pi\) |
0.495532 | + | 0.868590i | \(0.334973\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −16.5200 | + | 3.08813i | −1.27077 | + | 0.237549i | ||||
\(170\) | 13.5460 | + | 9.58904i | 1.03893 | + | 0.735446i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.54925 | + | 12.4743i | 0.270628 | + | 0.951158i | ||||
\(173\) | 2.05698 | + | 9.39247i | 0.156389 | + | 0.714096i | 0.987452 | + | 0.157918i | \(0.0504780\pi\) |
−0.831063 | + | 0.556179i | \(0.812267\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.04623 | + | 6.68229i | −0.381459 | + | 0.505134i | ||||
\(176\) | −0.908221 | + | 0.351847i | −0.0684597 | + | 0.0265214i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −35.0248 | − | 18.8079i | −2.62522 | − | 1.40971i | ||||
\(179\) | −0.168808 | + | 0.153889i | −0.0126173 | + | 0.0115022i | −0.679980 | − | 0.733231i | \(-0.738011\pi\) |
0.667362 | + | 0.744733i | \(0.267423\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.09238 | − | 4.98798i | 0.0811963 | − | 0.370754i | −0.918499 | − | 0.395422i | \(-0.870598\pi\) |
0.999696 | + | 0.0246688i | \(0.00785311\pi\) | |||||||
\(182\) | −58.8078 | − | 22.7823i | −4.35912 | − | 1.68873i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.37672 | + | 16.8227i | 0.617540 | + | 1.24019i | ||||
\(185\) | 4.18413 | − | 4.88373i | 0.307623 | − | 0.359059i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.557018 | − | 0.574444i | 0.0407332 | − | 0.0420075i | ||||
\(188\) | −7.84729 | + | 11.8427i | −0.572322 | + | 0.863721i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −20.4296 | − | 2.52974i | −1.48212 | − | 0.183526i | ||||
\(191\) | 5.52904 | + | 13.0629i | 0.400067 | + | 0.945196i | 0.990425 | + | 0.138054i | \(0.0440847\pi\) |
−0.590358 | + | 0.807142i | \(0.701013\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.47181 | − | 15.8833i | −0.105943 | − | 1.14331i | −0.868263 | − | 0.496105i | \(-0.834763\pi\) |
0.762320 | − | 0.647201i | \(-0.224060\pi\) | |||||||
\(194\) | −6.48190 | + | 18.3943i | −0.465373 | + | 1.32063i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −36.7541 | − | 48.6703i | −2.62529 | − | 3.47645i | ||||
\(197\) | 22.0525 | + | 13.6544i | 1.57118 | + | 0.972832i | 0.986910 | + | 0.161271i | \(0.0515594\pi\) |
0.584268 | + | 0.811561i | \(0.301382\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.6345 | + | 8.11316i | 1.25008 | + | 0.575127i | 0.928350 | − | 0.371706i | \(-0.121227\pi\) |
0.321726 | + | 0.946833i | \(0.395737\pi\) | |||||||
\(200\) | 8.80993 | + | 2.80264i | 0.622956 | + | 0.198177i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −40.3804 | − | 2.49058i | −2.84115 | − | 0.175236i | ||||
\(203\) | −6.67426 | + | 23.4576i | −0.468441 | + | 1.64640i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 17.2930 | 1.20780 | ||||||||
\(206\) | −24.0438 | + | 7.03498i | −1.67521 | + | 0.490150i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.767912 | + | 24.9244i | −0.0532451 | + | 1.72820i | ||||
\(209\) | −0.271607 | + | 0.954598i | −0.0187874 | + | 0.0660309i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −12.8116 | + | 10.3094i | −0.881984 | + | 0.709730i | −0.957813 | − | 0.287391i | \(-0.907212\pi\) |
0.0758297 | + | 0.997121i | \(0.475839\pi\) | |||||||
\(212\) | −48.8059 | − | 15.5263i | −3.35200 | − | 1.06635i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.04971 | − | 11.3281i | 0.0717564 | − | 0.774375i | ||||
\(215\) | 4.82717 | + | 2.98886i | 0.329210 | + | 0.203838i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 10.2862 | − | 5.52356i | 0.698271 | − | 0.374963i | ||||
\(218\) | 1.88215 | − | 5.34115i | 0.127475 | − | 0.361748i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.697129 | + | 1.40002i | −0.0470004 | + | 0.0943895i | ||||
\(221\) | −7.98505 | − | 18.8654i | −0.537133 | − | 1.26903i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.0337 | + | 6.37318i | −1.34156 | + | 0.426780i | −0.886107 | − | 0.463482i | \(-0.846600\pi\) |
−0.455450 | + | 0.890261i | \(0.650522\pi\) | |||||||
\(224\) | −2.43244 | + | 3.67092i | −0.162524 | + | 0.245274i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −33.7912 | + | 23.9203i | −2.24776 | + | 1.59115i | ||||
\(227\) | 15.4243 | − | 18.0033i | 1.02375 | − | 1.19492i | 0.0431131 | − | 0.999070i | \(-0.486272\pi\) |
0.980633 | − | 0.195852i | \(-0.0627472\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.0714 | − | 7.47428i | 0.797699 | − | 0.493914i | −0.0660624 | − | 0.997815i | \(-0.521044\pi\) |
0.863761 | + | 0.503901i | \(0.168102\pi\) | |||||||
\(230\) | 15.0014 | + | 5.81156i | 0.989162 | + | 0.383203i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 26.8754 | − | 1.65762i | 1.76446 | − | 0.108828i | ||||
\(233\) | 7.24253 | − | 6.60243i | 0.474474 | − | 0.432540i | −0.400802 | − | 0.916165i | \(-0.631268\pi\) |
0.875275 | + | 0.483625i | \(0.160680\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.953976 | + | 6.14562i | 0.0622306 | + | 0.400896i | ||||
\(236\) | −31.9668 | + | 12.3840i | −2.08086 | + | 0.806130i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 6.64884 | − | 42.8325i | 0.430980 | − | 2.77642i | ||||
\(239\) | 0.216920 | + | 0.990485i | 0.0140314 | + | 0.0640692i | 0.983339 | − | 0.181783i | \(-0.0581870\pi\) |
−0.969307 | + | 0.245853i | \(0.920932\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.00242 | − | 1.00665i | 0.257818 | − | 0.0648439i | −0.112840 | − | 0.993613i | \(-0.535995\pi\) |
0.370659 | + | 0.928769i | \(0.379132\pi\) | |||||||
\(242\) | −22.0703 | − | 15.6233i | −1.41874 | − | 1.00430i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 23.4868 | + | 24.2216i | 1.50359 | + | 1.55063i | ||||
\(245\) | −26.2443 | − | 4.90592i | −1.67669 | − | 0.313428i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 19.7962 | + | 15.9299i | 1.25960 | + | 1.01360i | ||||
\(248\) | −9.52607 | − | 8.68416i | −0.604906 | − | 0.551445i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 27.2806 | − | 12.5511i | 1.72538 | − | 0.793798i | ||||
\(251\) | 7.84538 | − | 0.971469i | 0.495196 | − | 0.0613186i | 0.128596 | − | 0.991697i | \(-0.458953\pi\) |
0.366600 | + | 0.930379i | \(0.380522\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.387815 | − | 0.671715i | 0.0243817 | − | 0.0422304i | ||||
\(254\) | −14.8712 | + | 35.1347i | −0.933104 | + | 2.20455i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −31.5463 | − | 7.93421i | −1.97164 | − | 0.495888i | ||||
\(257\) | 0.648610 | + | 21.0521i | 0.0404592 | + | 1.31320i | 0.773841 | + | 0.633380i | \(0.218333\pi\) |
−0.733382 | + | 0.679817i | \(0.762059\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −16.2887 | − | 4.09677i | −1.01213 | − | 0.254561i | ||||
\(260\) | 26.0516 | + | 30.4075i | 1.61565 | + | 1.88580i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 17.2500 | − | 29.8778i | 1.06571 | − | 1.84586i | ||||
\(263\) | −1.94758 | − | 3.37331i | −0.120093 | − | 0.208007i | 0.799711 | − | 0.600385i | \(-0.204986\pi\) |
−0.919804 | + | 0.392378i | \(0.871653\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −20.3684 | + | 9.37094i | −1.25122 | + | 0.575652i | ||||
\(266\) | 17.8687 | + | 50.7077i | 1.09560 | + | 3.10909i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 38.4564 | + | 30.9457i | 2.34910 | + | 1.89031i | ||||
\(269\) | −8.01078 | − | 12.0895i | −0.488426 | − | 0.737109i | 0.503491 | − | 0.864001i | \(-0.332049\pi\) |
−0.991917 | + | 0.126892i | \(0.959500\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.84750 | + | 6.03043i | 0.355210 | + | 0.366323i | 0.871759 | − | 0.489935i | \(-0.162980\pi\) |
−0.516549 | + | 0.856258i | \(0.672783\pi\) | |||||||
\(272\) | −16.8468 | + | 3.14921i | −1.02149 | + | 0.190949i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.84356 | − | 1.72122i | 0.413435 | − | 0.103983i | ||||
\(275\) | −0.104420 | − | 0.366997i | −0.00629675 | − | 0.0221308i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.388633 | + | 2.50362i | −0.0233507 | + | 0.150428i | −0.996974 | − | 0.0777328i | \(-0.975232\pi\) |
0.973624 | + | 0.228161i | \(0.0732711\pi\) | |||||||
\(278\) | 0.916696 | − | 1.21390i | 0.0549798 | − | 0.0728050i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.64574 | + | 42.8126i | 0.397159 | + | 2.55854i | ||||
\(281\) | 26.6360 | + | 14.3033i | 1.58897 | + | 0.853260i | 0.998947 | + | 0.0458761i | \(0.0146079\pi\) |
0.590026 | + | 0.807384i | \(0.299118\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.2136 | − | 0.753311i | 0.726025 | − | 0.0447797i | 0.305668 | − | 0.952138i | \(-0.401120\pi\) |
0.420357 | + | 0.907359i | \(0.361905\pi\) | |||||||
\(284\) | −5.71904 | + | 26.1139i | −0.339362 | + | 1.54958i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.44333 | − | 1.51285i | 0.144477 | − | 0.0894564i | ||||
\(287\) | −20.1315 | − | 40.4296i | −1.18833 | − | 2.38648i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.38346 | + | 1.68721i | −0.140203 | + | 0.0992478i | ||||
\(290\) | 16.0462 | − | 16.5482i | 0.942268 | − | 0.971746i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 17.8596 | − | 5.68154i | 1.04515 | − | 0.332487i | ||||
\(293\) | −20.8965 | − | 2.58754i | −1.22078 | − | 0.151166i | −0.513496 | − | 0.858092i | \(-0.671650\pi\) |
−0.707288 | + | 0.706926i | \(0.750081\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.68938 | + | 13.4341i | −0.389470 | + | 0.782162i | ||||
\(296\) | 1.71100 | + | 18.4646i | 0.0994500 | + | 1.07324i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 19.5844 | − | 10.5166i | 1.13449 | − | 0.609211i | ||||
\(299\) | −11.9670 | − | 15.8468i | −0.692067 | − | 0.916445i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.36818 | − | 14.7650i | 0.0788604 | − | 0.851040i | ||||
\(302\) | 25.9466 | + | 11.9373i | 1.49306 | + | 0.686915i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 16.5617 | − | 13.3272i | 0.949880 | − | 0.764365i | ||||
\(305\) | 14.7417 | + | 0.909239i | 0.844110 | + | 0.0520629i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.0305718 | + | 0.992281i | −0.00174483 | + | 0.0566324i | −0.999997 | − | 0.00246648i | \(-0.999215\pi\) |
0.998252 | + | 0.0590989i | \(0.0188227\pi\) | |||||||
\(308\) | 4.08470 | 0.232747 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −11.0348 | −0.626736 | ||||||||
\(311\) | 0.123950 | − | 4.02310i | 0.00702858 | − | 0.228129i | −0.989482 | − | 0.144658i | \(-0.953792\pi\) |
0.996510 | − | 0.0834706i | \(-0.0266005\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.91661 | − | 0.303246i | −0.277903 | − | 0.0171405i | −0.0779902 | − | 0.996954i | \(-0.524850\pi\) |
−0.199913 | + | 0.979814i | \(0.564066\pi\) | |||||||
\(314\) | −31.9535 | + | 25.7129i | −1.80324 | + | 1.45106i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 24.0056 | + | 11.0443i | 1.35042 | + | 0.621292i | ||||
\(317\) | 2.93074 | − | 31.6278i | 0.164607 | − | 1.77639i | −0.367801 | − | 0.929904i | \(-0.619889\pi\) |
0.532408 | − | 0.846488i | \(-0.321287\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.669721 | − | 0.886855i | −0.0374972 | − | 0.0496543i | ||||
\(320\) | −10.7539 | + | 5.77473i | −0.601162 | + | 0.322817i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.87681 | − | 41.8375i | −0.216046 | − | 2.33151i | ||||
\(323\) | −7.78438 | + | 15.6331i | −0.433135 | + | 0.869851i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.69476 | − | 1.20047i | −0.537769 | − | 0.0665902i | ||||
\(326\) | −4.41782 | + | 1.40541i | −0.244680 | + | 0.0778384i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −34.7122 | + | 35.7981i | −1.91666 | + | 1.97662i | ||||
\(329\) | 13.2574 | − | 9.38470i | 0.730903 | − | 0.517395i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.24072 | + | 14.5413i | 0.397986 | + | 0.799263i | 1.00000 | 0.000777786i | \(0.000247577\pi\) | |
−0.602014 | + | 0.798486i | \(0.705635\pi\) | |||||||
\(332\) | −19.8471 | + | 12.2888i | −1.08925 | + | 0.674435i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −8.82648 | + | 40.3029i | −0.482963 | + | 2.20528i | ||||
\(335\) | 21.5677 | − | 1.33025i | 1.17837 | − | 0.0726793i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.20312 | + | 1.18305i | 0.120011 | + | 0.0644448i | 0.532001 | − | 0.846744i | \(-0.321440\pi\) |
−0.411989 | + | 0.911189i | \(0.635166\pi\) | |||||||
\(338\) | −6.36344 | − | 40.9939i | −0.346125 | − | 2.22978i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −16.5847 | + | 21.9617i | −0.899430 | + | 1.19104i | ||||
\(341\) | −0.0816069 | + | 0.525720i | −0.00441926 | + | 0.0284693i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.1178 | + | 35.5604i | 0.546310 | + | 1.92008i | ||||
\(344\) | −15.8768 | + | 3.99318i | −0.856020 | + | 0.215298i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −23.3300 | + | 4.36113i | −1.25423 | + | 0.234456i | ||||
\(347\) | −0.495515 | − | 0.511017i | −0.0266007 | − | 0.0274328i | 0.704481 | − | 0.709723i | \(-0.251180\pi\) |
−0.731081 | + | 0.682290i | \(0.760984\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.5969 | + | 15.9923i | 0.567238 | + | 0.856048i | 0.998943 | − | 0.0459668i | \(-0.0146368\pi\) |
−0.431705 | + | 0.902015i | \(0.642088\pi\) | |||||||
\(350\) | −16.1033 | − | 12.9583i | −0.860760 | − | 0.692651i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.0666916 | − | 0.189257i | −0.00355467 | − | 0.0100874i | ||||
\(353\) | 30.2495 | − | 13.9170i | 1.61002 | − | 0.740726i | 0.611303 | − | 0.791396i | \(-0.290646\pi\) |
0.998715 | + | 0.0506703i | \(0.0161358\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.85137 | + | 10.1349i | 0.310558 | + | 0.537903i | ||||
\(356\) | 32.9609 | − | 57.0899i | 1.74692 | − | 3.02576i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.366852 | − | 0.428191i | −0.0193887 | − | 0.0226306i | ||||
\(359\) | 24.5435 | + | 6.17295i | 1.29536 | + | 0.325796i | 0.829223 | − | 0.558918i | \(-0.188783\pi\) |
0.466135 | + | 0.884713i | \(0.345646\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.0819656 | − | 2.66039i | −0.00431398 | − | 0.140020i | ||||
\(362\) | 12.2236 | + | 3.07436i | 0.642458 | + | 0.161585i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 40.7625 | − | 96.3052i | 2.13654 | − | 5.04776i | ||||
\(365\) | 4.10220 | − | 7.10523i | 0.214719 | − | 0.371905i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 31.7713 | − | 3.93414i | 1.65845 | − | 0.205360i | 0.761708 | − | 0.647920i | \(-0.224361\pi\) |
0.896739 | + | 0.442560i | \(0.145930\pi\) | |||||||
\(368\) | −15.0925 | + | 6.94366i | −0.786752 | + | 0.361963i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 11.7314 | + | 10.6946i | 0.609885 | + | 0.555983i | ||||
\(371\) | 45.6202 | + | 36.7104i | 2.36848 | + | 1.90591i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −27.4852 | − | 5.13788i | −1.42313 | − | 0.266029i | −0.584795 | − | 0.811181i | \(-0.698825\pi\) |
−0.838337 | + | 0.545152i | \(0.816472\pi\) | |||||||
\(374\) | 1.37496 | + | 1.41797i | 0.0710975 | + | 0.0733217i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −14.6369 | − | 10.3613i | −0.754842 | − | 0.534342i | ||||
\(377\) | −27.5928 | + | 6.93987i | −1.42110 | + | 0.357421i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.54246 | − | 20.7415i | −0.233331 | − | 1.06542i | −0.935477 | − | 0.353388i | \(-0.885030\pi\) |
0.702146 | − | 0.712033i | \(-0.252225\pi\) | |||||||
\(380\) | 5.23603 | − | 33.7311i | 0.268603 | − | 1.73037i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −32.6497 | + | 12.6486i | −1.67051 | + | 0.647157i | ||||
\(383\) | −1.16475 | − | 7.50344i | −0.0595159 | − | 0.383408i | −0.999150 | − | 0.0412266i | \(-0.986873\pi\) |
0.939634 | − | 0.342181i | \(-0.111166\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.32145 | − | 1.20466i | 0.0673475 | − | 0.0613953i | ||||
\(386\) | 39.3001 | − | 2.42395i | 2.00032 | − | 0.123376i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −30.1559 | − | 11.6825i | −1.53093 | − | 0.593087i | ||||
\(389\) | 2.18249 | − | 1.35134i | 0.110657 | − | 0.0685158i | −0.469988 | − | 0.882673i | \(-0.655742\pi\) |
0.580645 | + | 0.814157i | \(0.302801\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.87975 | − | 10.3645i | 0.449068 | − | 0.524155i | ||||
\(392\) | 62.8360 | − | 44.4807i | 3.17370 | − | 2.24661i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −35.3651 | + | 53.3713i | −1.78167 | + | 2.68881i | ||||
\(395\) | 11.0233 | − | 3.50678i | 0.554645 | − | 0.176445i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.54233 | − | 15.4569i | −0.328350 | − | 0.775758i | −0.999410 | − | 0.0343542i | \(-0.989063\pi\) |
0.671060 | − | 0.741403i | \(-0.265839\pi\) | |||||||
\(398\) | −21.3577 | + | 42.8921i | −1.07057 | + | 2.14999i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.71623 | + | 7.70811i | −0.135812 | + | 0.385406i | ||||
\(401\) | −17.6105 | + | 9.45661i | −0.879424 | + | 0.472241i | −0.849669 | − | 0.527316i | \(-0.823198\pi\) |
−0.0297551 | + | 0.999557i | \(0.509473\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11.5806 | + | 7.17038i | 0.576869 | + | 0.357182i | ||||
\(404\) | 6.18989 | − | 66.7996i | 0.307959 | − | 3.32340i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −57.3686 | − | 18.2503i | −2.84715 | − | 0.905745i | ||||
\(407\) | 0.596267 | − | 0.479814i | 0.0295559 | − | 0.0237835i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.51054 | − | 15.8529i | 0.223032 | − | 0.783876i | −0.766831 | − | 0.641849i | \(-0.778168\pi\) |
0.989863 | − | 0.142027i | \(-0.0453618\pi\) | |||||||
\(410\) | −1.31453 | + | 42.6663i | −0.0649202 | + | 2.10714i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −10.4321 | − | 40.2096i | −0.513950 | − | 1.98098i | ||||
\(413\) | 39.1951 | 1.92867 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.79657 | + | 9.82891i | −0.137278 | + | 0.482482i | ||||
\(416\) | −5.12766 | − | 0.316263i | −0.251404 | − | 0.0155061i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.33459 | − | 0.742687i | −0.114189 | − | 0.0363260i | ||||
\(419\) | −27.1047 | − | 12.4702i | −1.32415 | − | 0.609207i | −0.375882 | − | 0.926668i | \(-0.622660\pi\) |
−0.948272 | + | 0.317460i | \(0.897170\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12.2559 | − | 7.58852i | −0.597315 | − | 0.369842i | 0.194227 | − | 0.980957i | \(-0.437780\pi\) |
−0.791542 | + | 0.611115i | \(0.790721\pi\) | |||||||
\(422\) | −24.4621 | − | 32.3931i | −1.19080 | − | 1.57687i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 21.4867 | − | 60.9747i | 1.04348 | − | 2.96120i | ||||
\(425\) | −0.619497 | − | 6.68544i | −0.0300500 | − | 0.324291i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −15.0358 | − | 35.5234i | −0.727633 | − | 1.71910i | ||||
\(428\) | 18.7217 | + | 2.31825i | 0.904949 | + | 0.112057i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −7.74122 | + | 11.6827i | −0.373315 | + | 0.563389i | ||||
\(431\) | −16.4617 | + | 16.9767i | −0.792931 | + | 0.817737i | −0.986571 | − | 0.163335i | \(-0.947775\pi\) |
0.193639 | + | 0.981073i | \(0.437971\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −18.3690 | + | 21.4404i | −0.882759 | + | 1.03036i | 0.116550 | + | 0.993185i | \(0.462816\pi\) |
−0.999309 | + | 0.0371756i | \(0.988164\pi\) | |||||||
\(434\) | 12.8461 | + | 25.7985i | 0.616634 | + | 1.23837i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.75636 | + | 3.39223i | 0.419354 | + | 0.162458i | ||||
\(437\) | −3.62160 | + | 16.5367i | −0.173244 | + | 0.791058i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.01593 | − | 4.57262i | 0.239397 | − | 0.218239i | −0.545101 | − | 0.838370i | \(-0.683509\pi\) |
0.784498 | + | 0.620131i | \(0.212921\pi\) | |||||||
\(440\) | −1.73931 | − | 0.933989i | −0.0829183 | − | 0.0445262i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 47.1528 | − | 18.2671i | 2.24283 | − | 0.868878i | ||||
\(443\) | 18.7292 | − | 24.8015i | 0.889851 | − | 1.17835i | −0.0933145 | − | 0.995637i | \(-0.529746\pi\) |
0.983166 | − | 0.182717i | \(-0.0584891\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.17375 | − | 28.1902i | −0.292664 | − | 1.33634i | ||||
\(446\) | −14.2014 | − | 49.9128i | −0.672456 | − | 2.36344i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 26.0199 | + | 18.4191i | 1.22933 | + | 0.870222i | ||||
\(449\) | −10.8517 | + | 2.02853i | −0.512121 | + | 0.0957321i | −0.433466 | − | 0.901170i | \(-0.642710\pi\) |
−0.0786551 | + | 0.996902i | \(0.525063\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.02298 | + | 0.378161i | 0.0952584 | + | 0.0178069i | ||||
\(452\) | −37.9202 | − | 57.2273i | −1.78362 | − | 2.69175i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 43.2463 | + | 39.4242i | 2.02965 | + | 1.85027i | ||||
\(455\) | −15.2152 | − | 43.1777i | −0.713302 | − | 2.02420i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.0268 | + | 1.61307i | −0.609370 | + | 0.0754563i | −0.421638 | − | 0.906764i | \(-0.638545\pi\) |
−0.187731 | + | 0.982220i | \(0.560113\pi\) | |||||||
\(458\) | 17.5234 | + | 30.3513i | 0.818813 | + | 1.41823i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −10.3982 | + | 24.5667i | −0.484817 | + | 1.14543i | ||||
\(461\) | 15.4351 | + | 18.0159i | 0.718883 | + | 0.839084i | 0.992435 | − | 0.122773i | \(-0.0391788\pi\) |
−0.273552 | + | 0.961857i | \(0.588198\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.968128 | + | 31.4229i | 0.0449927 | + | 1.46034i | 0.705065 | + | 0.709143i | \(0.250918\pi\) |
−0.660072 | + | 0.751202i | \(0.729474\pi\) | |||||||
\(464\) | 0.733027 | + | 23.7921i | 0.0340299 | + | 1.10452i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 15.7394 | + | 18.3711i | 0.729112 | + | 0.851023i | ||||
\(467\) | −4.82878 | + | 11.4084i | −0.223449 | + | 0.527920i | −0.993990 | − | 0.109471i | \(-0.965084\pi\) |
0.770541 | + | 0.637391i | \(0.219986\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −28.2179 | − | 48.8749i | −1.30298 | − | 2.25683i | ||||
\(470\) | −15.2353 | + | 1.88654i | −0.702754 | + | 0.0870198i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −14.3822 | − | 40.8138i | −0.661997 | − | 1.87861i | ||||
\(473\) | 0.499336 | + | 0.455204i | 0.0229595 | + | 0.0209303i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.60002 | + | 6.94213i | 0.211064 | + | 0.318527i | ||||
\(476\) | 70.6515 | + | 13.2071i | 3.23831 | + | 0.605344i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.46027 | + | 0.459904i | −0.112530 | + | 0.0210355i | ||||
\(479\) | 14.5483 | + | 10.2985i | 0.664727 | + | 0.470551i | 0.860064 | − | 0.510186i | \(-0.170423\pi\) |
−0.195337 | + | 0.980736i | \(0.562580\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.36228 | − | 18.8465i | −0.244499 | − | 0.859324i | ||||
\(482\) | 2.17942 | + | 9.95152i | 0.0992697 | + | 0.453279i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 27.0211 | − | 35.7818i | 1.22823 | − | 1.62644i | ||||
\(485\) | −13.2012 | + | 5.11418i | −0.599437 | + | 0.232223i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 37.4266 | + | 20.0976i | 1.69596 | + | 0.910711i | 0.976311 | + | 0.216373i | \(0.0694229\pi\) |
0.719649 | + | 0.694338i | \(0.244303\pi\) | |||||||
\(488\) | −31.4733 | + | 28.6917i | −1.42473 | + | 1.29881i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 14.0991 | − | 64.3786i | 0.636934 | − | 2.90833i | ||||
\(491\) | −3.60619 | − | 1.39704i | −0.162745 | − | 0.0630477i | 0.278491 | − | 0.960439i | \(-0.410166\pi\) |
−0.441236 | + | 0.897391i | \(0.645460\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.71646 | − | 17.5050i | −0.392570 | − | 0.788386i | ||||
\(494\) | −40.8080 | + | 47.6313i | −1.83604 | + | 2.14304i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 7.93262 | − | 8.18078i | 0.356185 | − | 0.367328i | ||||
\(497\) | 16.8826 | − | 25.4785i | 0.757290 | − | 1.14286i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 18.3169 | + | 2.26812i | 0.819976 | + | 0.101535i | 0.521900 | − | 0.853007i | \(-0.325224\pi\) |
0.298077 | + | 0.954542i | \(0.403655\pi\) | |||||||
\(500\) | 19.4092 | + | 45.8560i | 0.868005 | + | 2.05074i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.80049 | + | 19.4304i | 0.0803600 | + | 0.867222i | ||||
\(503\) | −1.32323 | + | 3.75505i | −0.0589998 | + | 0.167429i | −0.968932 | − | 0.247328i | \(-0.920447\pi\) |
0.909932 | + | 0.414758i | \(0.136134\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −17.6981 | − | 23.4361i | −0.787555 | − | 1.04289i | ||||
\(506\) | 1.62781 | + | 1.00790i | 0.0723652 | + | 0.0448066i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −57.4731 | − | 26.4418i | −2.54996 | − | 1.17317i | ||||
\(509\) | 34.5873 | + | 11.0030i | 1.53306 | + | 0.487700i | 0.946635 | − | 0.322307i | \(-0.104458\pi\) |
0.586420 | + | 0.810007i | \(0.300537\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −21.3870 | − | 1.31910i | −0.946104 | − | 0.0583537i | ||||
\(512\) | 11.7402 | − | 41.2624i | 0.518847 | − | 1.82356i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −51.9904 | −2.29320 | ||||||||
\(515\) | −15.2336 | − | 9.93169i | −0.671271 | − | 0.437643i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.0227928 | + | 0.739792i | −0.00100242 | + | 0.0325360i | ||||
\(518\) | 11.3460 | − | 39.8770i | 0.498513 | − | 1.75209i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −39.3778 | + | 31.6872i | −1.72683 | + | 1.38958i | ||||
\(521\) | −11.8085 | − | 3.75654i | −0.517338 | − | 0.164577i | 0.0331015 | − | 0.999452i | \(-0.489462\pi\) |
−0.550440 | + | 0.834875i | \(0.685540\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.00830 | + | 21.6730i | −0.0878168 | + | 0.947694i | 0.831852 | + | 0.554998i | \(0.187281\pi\) |
−0.919668 | + | 0.392696i | \(0.871542\pi\) | |||||||
\(524\) | 48.6389 | + | 30.1159i | 2.12480 | + | 1.31562i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.47087 | − | 4.54876i | 0.369348 | − | 0.198335i | ||||
\(527\) | −3.11134 | + | 8.82933i | −0.135532 | + | 0.384612i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.35496 | + | 8.74594i | −0.189346 | + | 0.380258i | ||||
\(530\) | −21.5722 | − | 50.9663i | −0.937037 | − | 2.21384i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −84.9559 | + | 27.0264i | −3.68331 | + | 1.17174i | ||||
\(533\) | 29.1039 | − | 43.9222i | 1.26063 | − | 1.90248i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.74043 | − | 4.77145i | 0.291414 | − | 0.206288i | ||||
\(536\) | −40.5391 | + | 47.3174i | −1.75102 | + | 2.04380i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 30.4368 | − | 18.8457i | 1.31222 | − | 0.812494i | ||||
\(539\) | −2.96285 | − | 1.14781i | −0.127619 | − | 0.0494399i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 16.9835 | − | 1.04750i | 0.730176 | − | 0.0450357i | 0.307793 | − | 0.951453i | \(-0.400410\pi\) |
0.422383 | + | 0.906418i | \(0.361194\pi\) | |||||||
\(542\) | −15.3231 | + | 13.9689i | −0.658185 | + | 0.600015i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.541615 | − | 3.48914i | −0.0232215 | − | 0.149596i | ||||
\(545\) | 3.83324 | − | 1.48500i | 0.164198 | − | 0.0636106i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.43966 | − | 22.1587i | 0.147069 | − | 0.947437i | −0.793680 | − | 0.608335i | \(-0.791838\pi\) |
0.940750 | − | 0.339102i | \(-0.110123\pi\) | |||||||
\(548\) | 2.50331 | + | 11.4305i | 0.106936 | + | 0.488286i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.913414 | − | 0.229733i | 0.0389481 | − | 0.00979584i | ||||
\(551\) | 19.7971 | + | 14.0141i | 0.843387 | + | 0.597021i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −21.0313 | − | 21.6893i | −0.894343 | − | 0.922321i | ||||
\(554\) | −6.14752 | − | 1.14917i | −0.261183 | − | 0.0488236i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.96512 | + | 1.58133i | 0.0833397 | + | 0.0670632i | ||||
\(557\) | −18.3890 | − | 16.7638i | −0.779166 | − | 0.710304i | 0.182896 | − | 0.983132i | \(-0.441453\pi\) |
−0.962063 | + | 0.272828i | \(0.912041\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 15.7154 | − | 7.23024i | 0.664692 | − | 0.305807i | ||||
\(560\) | −38.0099 | + | 4.70664i | −1.60621 | + | 0.198892i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −37.3145 | + | 64.6307i | −1.57402 | + | 2.72628i | ||||
\(563\) | 14.3064 | − | 33.8001i | 0.602941 | − | 1.42451i | −0.282278 | − | 0.959333i | \(-0.591090\pi\) |
0.885220 | − | 0.465173i | \(-0.154008\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −29.1452 | − | 7.33032i | −1.22615 | − | 0.308389i | ||||
\(566\) | 0.930188 | + | 30.1914i | 0.0390987 | + | 1.26904i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −32.7256 | − | 8.23082i | −1.37314 | − | 0.345357i | ||||
\(569\) | 3.32718 | + | 3.88350i | 0.139483 | + | 0.162805i | 0.824771 | − | 0.565467i | \(-0.191304\pi\) |
−0.685288 | + | 0.728272i | \(0.740324\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.31999 | + | 14.4106i | −0.348181 | + | 0.603067i | −0.985926 | − | 0.167180i | \(-0.946534\pi\) |
0.637746 | + | 0.770247i | \(0.279867\pi\) | |||||||
\(572\) | 2.38264 | + | 4.12685i | 0.0996230 | + | 0.172552i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 101.280 | − | 46.5964i | 4.22736 | − | 1.94490i | ||||
\(575\) | −2.16305 | − | 6.13829i | −0.0902054 | − | 0.255984i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.8603 | + | 13.5675i | 0.701905 | + | 0.564821i | 0.910665 | − | 0.413146i | \(-0.135570\pi\) |
−0.208760 | + | 0.977967i | \(0.566943\pi\) | |||||||
\(578\) | −3.98161 | − | 6.00885i | −0.165613 | − | 0.249935i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 26.6078 | + | 27.4402i | 1.10483 | + | 1.13939i | ||||
\(581\) | 26.2348 | − | 4.90413i | 1.08840 | − | 0.203458i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.58767 | + | 0.650825i | −0.107170 | + | 0.0269544i | ||||
\(584\) | 6.47415 | + | 22.7543i | 0.267902 | + | 0.941578i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.97258 | − | 51.3602i | 0.329344 | − | 2.12167i | ||||
\(587\) | 16.0865 | − | 21.3020i | 0.663961 | − | 0.879227i | −0.334031 | − | 0.942562i | \(-0.608409\pi\) |
0.997992 | + | 0.0633351i | \(0.0201737\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.78112 | − | 11.4742i | −0.0733899 | − | 0.472786i | ||||
\(590\) | −32.6368 | − | 17.5256i | −1.34364 | − | 0.721518i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −16.3619 | + | 1.00916i | −0.672468 | + | 0.0414764i | ||||
\(593\) | 0.899235 | − | 4.10603i | 0.0369272 | − | 0.168615i | −0.954740 | − | 0.297442i | \(-0.903866\pi\) |
0.991667 | + | 0.128828i | \(0.0411214\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 26.7517 | − | 16.5640i | 1.09671 | − | 0.679057i | ||||
\(596\) | 16.4303 | + | 32.9964i | 0.673010 | + | 1.35159i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 40.0078 | − | 28.3210i | 1.63604 | − | 1.15813i | ||||
\(599\) | 9.46814 | − | 9.76434i | 0.386858 | − | 0.398960i | −0.496212 | − | 0.868201i | \(-0.665276\pi\) |
0.883070 | + | 0.469241i | \(0.155472\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.85089 | − | 2.49755i | 0.320244 | − | 0.101877i | −0.138720 | − | 0.990332i | \(-0.544299\pi\) |
0.458965 | + | 0.888455i | \(0.348220\pi\) | |||||||
\(602\) | 36.3250 | + | 4.49801i | 1.48050 | + | 0.183325i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −21.1099 | + | 42.3945i | −0.858951 | + | 1.72501i | ||||
\(605\) | −1.81111 | − | 19.5450i | −0.0736321 | − | 0.794617i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.73817 | − | 3.08133i | 0.232905 | − | 0.125068i | −0.352490 | − | 0.935816i | \(-0.614665\pi\) |
0.585395 | + | 0.810748i | \(0.300939\pi\) | |||||||
\(608\) | 2.63931 | + | 3.49501i | 0.107038 | + | 0.141741i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.36393 | + | 36.3025i | −0.136201 | + | 1.46985i | ||||
\(611\) | 17.2147 | + | 7.92001i | 0.696432 | + | 0.320409i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −23.4990 | + | 18.9096i | −0.949117 | + | 0.763752i | −0.971755 | − | 0.235992i | \(-0.924166\pi\) |
0.0226377 | + | 0.999744i | \(0.492794\pi\) | |||||||
\(614\) | −2.44589 | − | 0.150857i | −0.0987080 | − | 0.00608810i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.158782 | + | 5.15365i | −0.00639752 | + | 0.207647i | ||||
\(617\) | −17.2285 | −0.693595 | −0.346797 | − | 0.937940i | \(-0.612731\pi\) | ||||
−0.346797 | + | 0.937940i | \(0.612731\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −38.0694 | −1.53014 | −0.765070 | − | 0.643948i | \(-0.777295\pi\) | ||||
−0.765070 | + | 0.643948i | \(0.777295\pi\) | |||||||
\(620\) | 0.563485 | − | 18.2892i | 0.0226301 | − | 0.734513i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 9.91659 | + | 0.611634i | 0.397619 | + | 0.0245243i | ||||
\(623\) | −58.7192 | + | 47.2512i | −2.35254 | + | 1.89308i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.6754 | + | 5.37151i | 0.467014 | + | 0.214861i | ||||
\(626\) | 1.12192 | − | 12.1075i | 0.0448411 | − | 0.483913i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −40.9851 | − | 54.2730i | −1.63548 | − | 2.16573i | ||||
\(629\) | 11.8648 | − | 6.37126i | 0.473080 | − | 0.254039i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.50536 | + | 16.2455i | 0.0599276 | + | 0.646722i | 0.971730 | + | 0.236094i | \(0.0758672\pi\) |
−0.911803 | + | 0.410629i | \(0.865309\pi\) | |||||||
\(632\) | −14.8678 | + | 29.8585i | −0.591409 | + | 1.18771i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 77.8110 | + | 9.63510i | 3.09027 | + | 0.382659i | ||||
\(635\) | −26.3916 | + | 8.39576i | −1.04732 | + | 0.333176i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −56.6294 | + | 58.4010i | −2.24374 | + | 2.31393i | ||||
\(638\) | 2.23901 | − | 1.58496i | 0.0886431 | − | 0.0627492i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −14.9334 | − | 29.9903i | −0.590295 | − | 1.18547i | ||||
\(641\) | 37.6971 | − | 23.3410i | 1.48894 | − | 0.921915i | 0.490211 | − | 0.871604i | \(-0.336920\pi\) |
0.998734 | − | 0.0503113i | \(-0.0160213\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.79674 | + | 12.7703i | −0.110293 | + | 0.503612i | 0.888690 | + | 0.458509i | \(0.151616\pi\) |
−0.998982 | + | 0.0451027i | \(0.985639\pi\) | |||||||
\(644\) | 69.5398 | − | 4.28907i | 2.74025 | − | 0.169013i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −37.9792 | − | 20.3944i | −1.49427 | − | 0.802408i | ||||
\(647\) | 2.65005 | + | 17.0719i | 0.104184 | + | 0.671167i | 0.981530 | + | 0.191308i | \(0.0612729\pi\) |
−0.877346 | + | 0.479859i | \(0.840688\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.07632 | + | 1.42527i | −0.0422491 | + | 0.0559468i | ||||
\(650\) | 3.69882 | − | 23.8282i | 0.145080 | − | 0.934619i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.10375 | − | 7.39390i | −0.0823891 | − | 0.289567i | ||||
\(653\) | −46.6770 | + | 11.7397i | −1.82661 | + | 0.459411i | −0.995338 | − | 0.0964520i | \(-0.969251\pi\) |
−0.831274 | + | 0.555863i | \(0.812388\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 24.6172 | − | 4.60175i | 0.961872 | − | 0.179805i | ||||
\(656\) | −30.6861 | − | 31.6461i | −1.19809 | − | 1.23557i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 22.1467 | + | 33.4227i | 0.863369 | + | 1.30295i | ||||
\(659\) | 14.4449 | + | 11.6238i | 0.562695 | + | 0.452799i | 0.865964 | − | 0.500106i | \(-0.166706\pi\) |
−0.303269 | + | 0.952905i | \(0.598078\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −14.4682 | − | 41.0578i | −0.562749 | − | 1.59696i | −0.783337 | − | 0.621597i | \(-0.786484\pi\) |
0.220588 | − | 0.975367i | \(-0.429202\pi\) | |||||||
\(662\) | −36.4276 | + | 16.7594i | −1.41580 | + | 0.651371i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −14.7332 | − | 25.5187i | −0.571761 | − | 0.990318i | ||||
\(665\) | −19.5137 | + | 33.7987i | −0.756709 | + | 1.31066i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.3329 | − | 14.3950i | −0.477531 | − | 0.557376i | ||||
\(668\) | −66.3477 | − | 16.6871i | −2.56707 | − | 0.645644i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.64259 | + | 53.3142i | 0.0634589 | + | 2.05971i | ||||
\(671\) | 1.70464 | + | 0.428735i | 0.0658071 | + | 0.0165511i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.21152 | − | 19.4005i | 0.316531 | − | 0.747834i | −0.683312 | − | 0.730126i | \(-0.739461\pi\) |
0.999843 | − | 0.0177077i | \(-0.00563683\pi\) | |||||||
\(674\) | −3.08636 | + | 5.34572i | −0.118882 | + | 0.205910i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 68.2687 | − | 8.45349i | 2.62572 | − | 0.325134i | ||||
\(677\) | −6.05799 | + | 2.78712i | −0.232828 | + | 0.107118i | −0.530928 | − | 0.847417i | \(-0.678157\pi\) |
0.298101 | + | 0.954534i | \(0.403647\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 27.3247 | + | 24.9097i | 1.04862 | + | 0.955948i | ||||
\(680\) | −27.0643 | − | 21.7786i | −1.03787 | − | 0.835170i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.29088 | − | 0.241308i | −0.0494305 | − | 0.00924016i | ||||
\(683\) | −1.55666 | − | 1.60536i | −0.0595638 | − | 0.0614272i | 0.687473 | − | 0.726210i | \(-0.258720\pi\) |
−0.747037 | + | 0.664783i | \(0.768524\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.18094 | + | 2.95963i | 0.159746 | + | 0.113082i | ||||
\(686\) | −88.5057 | + | 22.2601i | −3.37916 | + | 0.849894i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.09613 | − | 14.1374i | −0.118039 | − | 0.538982i | ||||
\(689\) | −10.4786 | + | 67.5045i | −0.399204 | + | 2.57171i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.71961 | + | 1.44099i | −0.141501 | + | 0.0548177i | −0.430951 | − | 0.902375i | \(-0.641822\pi\) |
0.289450 | + | 0.957193i | \(0.406528\pi\) | |||||||
\(692\) | −6.03685 | − | 38.8900i | −0.229487 | − | 1.47838i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.29848 | − | 1.18372i | 0.0492895 | − | 0.0449333i | ||||
\(695\) | 1.10211 | − | 0.0679758i | 0.0418054 | − | 0.00257847i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 33.7680 | + | 13.0818i | 1.27906 | + | 0.495509i | ||||
\(698\) | −40.2626 | + | 24.9296i | −1.52396 | + | 0.943598i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 22.2995 | − | 26.0281i | 0.842843 | − | 0.983770i | ||||
\(701\) | −18.3596 | + | 12.9965i | −0.693431 | + | 0.490869i | −0.869768 | − | 0.493460i | \(-0.835732\pi\) |
0.176338 | + | 0.984330i | \(0.443575\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −9.22682 | + | 13.9247i | −0.347996 | + | 0.525179i | ||||
\(704\) | −1.38430 | + | 0.440378i | −0.0521728 | + | 0.0165974i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 32.0373 | + | 75.6912i | 1.20574 | + | 2.84868i | ||||
\(707\) | −34.1885 | + | 68.6597i | −1.28579 | + | 2.58221i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.9764 | − | 45.3377i | 0.600006 | − | 1.70269i | −0.105889 | − | 0.994378i | \(-0.533769\pi\) |
0.705895 | − | 0.708317i | \(-0.250545\pi\) | |||||||
\(710\) | −25.4501 | + | 13.6664i | −0.955126 | + | 0.512892i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 70.7490 | + | 43.8059i | 2.65143 | + | 1.64170i | ||||
\(713\) | −0.837290 | + | 9.03579i | −0.0313567 | + | 0.338393i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.98791 | + | 0.632400i | 0.0743436 | + | 0.0236504i | ||||
\(716\) | 0.728421 | − | 0.586158i | 0.0272224 | − | 0.0219057i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −17.0959 | + | 60.0860i | −0.638015 | + | 2.24239i | ||||
\(719\) | 0.456815 | − | 14.8270i | 0.0170363 | − | 0.552954i | −0.952009 | − | 0.306070i | \(-0.900986\pi\) |
0.969045 | − | 0.246883i | \(-0.0794064\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.48540 | + | 47.1767i | −0.204287 | + | 1.75695i | ||||
\(722\) | 6.57009 | 0.244513 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −5.71965 | + | 20.1025i | −0.212569 | + | 0.747103i | ||||
\(725\) | −9.30734 | − | 0.574057i | −0.345666 | − | 0.0213199i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.3015 | + | 3.27713i | 0.382060 | + | 0.121542i | 0.488029 | − | 0.872827i | \(-0.337716\pi\) |
−0.105969 | + | 0.994369i | \(0.533794\pi\) | |||||||
\(728\) | 119.924 | + | 55.1736i | 4.44466 | + | 2.04487i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 17.2186 | + | 10.6613i | 0.637289 | + | 0.394592i | ||||
\(731\) | 7.16501 | + | 9.48801i | 0.265007 | + | 0.350927i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.00921 | − | 22.7285i | 0.295827 | − | 0.839496i | −0.696688 | − | 0.717374i | \(-0.745344\pi\) |
0.992515 | − | 0.122122i | \(-0.0389699\pi\) | |||||||
\(734\) | 7.29142 | + | 78.6870i | 0.269131 | + | 2.90439i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.33411 | − | 3.15197i | −0.0491761 | − | 0.116183i | ||||
\(737\) | 2.55214 | + | 0.316023i | 0.0940091 | + | 0.0116409i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.93894 | + | 2.92615i | −0.0713250 | + | 0.107640i | −0.867526 | − | 0.497392i | \(-0.834291\pi\) |
0.796201 | + | 0.605033i | \(0.206840\pi\) | |||||||
\(740\) | −18.3243 | + | 18.8976i | −0.673615 | + | 0.694688i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −94.0419 | + | 109.766i | −3.45239 | + | 4.02964i | ||||
\(743\) | −19.0818 | − | 38.3214i | −0.700043 | − | 1.40588i | −0.904274 | − | 0.426953i | \(-0.859587\pi\) |
0.204230 | − | 0.978923i | \(-0.434531\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 15.0467 | + | 5.82914i | 0.551270 | + | 0.213563i | ||||
\(746\) | 14.7658 | − | 67.4226i | 0.540614 | − | 2.46852i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.42037 | + | 2.20646i | −0.0884976 | + | 0.0806763i | ||||
\(749\) | −19.0021 | − | 10.2039i | −0.694321 | − | 0.372843i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.30601 | + | 1.28076i | −0.120638 | + | 0.0467355i | −0.420804 | − | 0.907152i | \(-0.638252\pi\) |
0.300166 | + | 0.953887i | \(0.402958\pi\) | |||||||
\(752\) | 9.55364 | − | 12.6511i | 0.348385 | − | 0.461337i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −15.0250 | − | 68.6061i | −0.547177 | − | 2.49849i | ||||
\(755\) | 5.67369 | + | 19.9410i | 0.206487 | + | 0.725725i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −35.7974 | − | 25.3404i | −1.30108 | − | 0.921014i | −0.301604 | − | 0.953433i | \(-0.597522\pi\) |
−0.999474 | + | 0.0324190i | \(0.989679\pi\) | |||||||
\(758\) | 51.5199 | − | 9.63075i | 1.87129 | − | 0.349804i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 42.3549 | + | 7.91750i | 1.53637 | + | 0.287198i | ||||
\(761\) | −20.2007 | − | 30.4860i | −0.732276 | − | 1.10512i | −0.990296 | − | 0.138976i | \(-0.955619\pi\) |
0.258019 | − | 0.966140i | \(-0.416930\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.93426 | − | 7.23303i | −0.287240 | − | 0.261853i | ||||
\(764\) | −19.2966 | − | 54.7598i | −0.698127 | − | 1.98114i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 18.6015 | − | 2.30336i | 0.672098 | − | 0.0832238i | ||||
\(767\) | 22.8628 | + | 39.5996i | 0.825530 | + | 1.42986i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.80901 | − | 23.1747i | 0.353722 | − | 0.835701i | −0.643790 | − | 0.765202i | \(-0.722639\pi\) |
0.997512 | − | 0.0704988i | \(-0.0224591\pi\) | |||||||
\(770\) | 2.87176 | + | 3.35194i | 0.103491 | + | 0.120795i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.01064 | + | 65.2601i | 0.0723646 | + | 2.34876i | ||||
\(773\) | −0.00739243 | − | 0.239939i | −0.000265887 | − | 0.00862999i | 0.999383 | − | 0.0351098i | \(-0.0111781\pi\) |
−0.999649 | + | 0.0264798i | \(0.991570\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.90443 | + | 3.39007i | 0.104330 | + | 0.121775i | ||||
\(776\) | 15.9120 | − | 37.5935i | 0.571206 | − | 1.34953i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.16821 | + | 5.48750i | 0.113586 | + | 0.196736i | ||||
\(779\) | −44.5772 | + | 5.51986i | −1.59715 | + | 0.197769i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.462881 | + | 1.31356i | 0.0165632 | + | 0.0470029i | ||||
\(782\) | 24.8969 | + | 22.6965i | 0.890310 | + | 0.811625i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 37.5923 | + | 56.7325i | 1.34258 | + | 2.02616i | ||||
\(785\) | −29.2655 | − | 5.47067i | −1.04453 | − | 0.195256i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 35.7014 | − | 6.67375i | 1.27262 | − | 0.237893i | 0.496253 | − | 0.868178i | \(-0.334709\pi\) |
0.776364 | + | 0.630285i | \(0.217062\pi\) | |||||||
\(788\) | −86.6522 | − | 61.3398i | −3.08686 | − | 2.18514i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 7.81418 | + | 27.4640i | 0.278016 | + | 0.977125i | ||||
\(791\) | 16.7916 | + | 76.6727i | 0.597039 | + | 2.72617i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 27.1195 | − | 35.9121i | 0.963043 | − | 1.27527i | ||||
\(794\) | 38.6334 | − | 14.9666i | 1.37105 | − | 0.531146i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −69.9992 | − | 37.5888i | −2.48105 | − | 1.33230i | ||||
\(797\) | 10.3724 | − | 9.45570i | 0.367410 | − | 0.334938i | −0.468844 | − | 0.883281i | \(-0.655329\pi\) |
0.836254 | + | 0.548343i | \(0.184741\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.78621 | + | 12.7222i | −0.0985690 | + | 0.450080i | ||||
\(800\) | −1.57005 | − | 0.608242i | −0.0555098 | − | 0.0215046i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −21.9932 | − | 44.1684i | −0.776608 | − | 1.55964i | ||||
\(803\) | 0.635263 | − | 0.741482i | 0.0224179 | − | 0.0261663i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 21.2321 | − | 21.8963i | 0.748333 | − | 0.771744i | ||||
\(806\) | −18.5715 | + | 28.0272i | −0.654152 | + | 0.987215i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 84.0403 | + | 10.4064i | 2.95653 | + | 0.366098i | ||||
\(809\) | −1.86134 | − | 4.39758i | −0.0654411 | − | 0.154611i | 0.884935 | − | 0.465715i | \(-0.154203\pi\) |
−0.950376 | + | 0.311105i | \(0.899301\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.877987 | − | 9.47499i | −0.0308303 | − | 0.332712i | −0.997155 | − | 0.0753843i | \(-0.975982\pi\) |
0.966324 | − | 0.257327i | \(-0.0828419\pi\) | |||||||
\(812\) | 33.1776 | − | 94.1512i | 1.16431 | − | 3.30406i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.13850 | + | 1.50762i | 0.0399044 | + | 0.0528419i | ||||
\(815\) | −2.86121 | − | 1.77159i | −0.100224 | − | 0.0620559i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −13.3973 | − | 6.16375i | −0.468713 | − | 0.215642i | ||||
\(818\) | 38.7703 | + | 12.3337i | 1.35557 | + | 0.431239i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −70.6483 | − | 4.35744i | −2.46715 | − | 0.152168i | ||||
\(821\) | −4.99316 | + | 17.5492i | −0.174263 | + | 0.612470i | 0.824641 | + | 0.565656i | \(0.191377\pi\) |
−0.998904 | + | 0.0468132i | \(0.985093\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −47.5367 | −1.65702 | −0.828512 | − | 0.559972i | \(-0.810812\pi\) | ||||
−0.828512 | + | 0.559972i | \(0.810812\pi\) | |||||||
\(824\) | 51.1379 | − | 11.5991i | 1.78147 | − | 0.404072i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.97943 | + | 96.7045i | −0.103668 | + | 3.36478i | ||||
\(827\) | 8.02131 | − | 28.1920i | 0.278928 | − | 0.980331i | −0.688090 | − | 0.725625i | \(-0.741551\pi\) |
0.967019 | − | 0.254706i | \(-0.0819787\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 14.5548 | − | 11.7122i | 0.505508 | − | 0.406781i | −0.340260 | − | 0.940331i | \(-0.610515\pi\) |
0.845768 | + | 0.533551i | \(0.179143\pi\) | |||||||
\(830\) | −24.0379 | − | 7.64700i | −0.834366 | − | 0.265431i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −3.43156 | + | 37.0325i | −0.118968 | + | 1.28387i | ||||
\(833\) | −47.5361 | − | 29.4331i | −1.64703 | − | 1.01980i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −26.3858 | + | 14.1689i | −0.913117 | + | 0.490333i | ||||
\(836\) | 1.35015 | − | 3.83145i | 0.0466959 | − | 0.132513i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 32.8275 | − | 65.9264i | 1.13401 | − | 2.27739i | ||||
\(839\) | −4.07810 | − | 9.63489i | −0.140792 | − | 0.332633i | 0.835367 | − | 0.549693i | \(-0.185255\pi\) |
−0.976158 | + | 0.217060i | \(0.930353\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.75378 | − | 0.557919i | 0.0604753 | − | 0.0192386i | ||||
\(842\) | 19.6545 | − | 29.6616i | 0.677338 | − | 1.02221i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 54.9377 | − | 38.8896i | 1.89103 | − | 1.33863i | ||||
\(845\) | 19.5927 | − | 22.8687i | 0.674009 | − | 0.786707i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −43.5862 | + | 26.9874i | −1.49764 | + | 0.927299i | ||||
\(848\) | 53.2921 | + | 20.6455i | 1.83006 | + | 0.708968i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 16.5418 | − | 1.02026i | 0.567378 | − | 0.0349947i | ||||
\(851\) | 9.64730 | − | 8.79468i | 0.330705 | − | 0.301478i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.61453 | − | 23.2852i | −0.123759 | − | 0.797270i | −0.966070 | − | 0.258279i | \(-0.916845\pi\) |
0.842311 | − | 0.538992i | \(-0.181195\pi\) | |||||||
\(854\) | 88.7884 | − | 34.3968i | 3.03828 | − | 1.17703i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.65270 | + | 23.5311i | −0.124847 | + | 0.804275i | ||||
\(857\) | 11.5947 | + | 52.9429i | 0.396066 | + | 1.80849i | 0.567587 | + | 0.823314i | \(0.307877\pi\) |
−0.171520 | + | 0.985181i | \(0.554868\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −35.7945 | + | 9.00267i | −1.22129 | + | 0.307167i | −0.800134 | − | 0.599821i | \(-0.795238\pi\) |
−0.421157 | + | 0.906988i | \(0.638376\pi\) | |||||||
\(860\) | −18.9677 | − | 13.4269i | −0.646792 | − | 0.457855i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −40.6345 | − | 41.9057i | −1.38402 | − | 1.42731i | ||||
\(863\) | −17.0382 | − | 3.18499i | −0.579987 | − | 0.108418i | −0.114422 | − | 0.993432i | \(-0.536502\pi\) |
−0.465565 | + | 0.885014i | \(0.654149\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −13.4225 | − | 10.8010i | −0.456379 | − | 0.367247i | ||||
\(866\) | −51.5027 | − | 46.9509i | −1.75013 | − | 1.59546i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −43.4146 | + | 19.9739i | −1.47359 | + | 0.677959i | ||||
\(869\) | 1.36623 | − | 0.169175i | 0.0463460 | − | 0.00573888i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 32.9195 | − | 57.0182i | 1.11543 | − | 1.93199i | ||||
\(872\) | −4.62036 | + | 10.9160i | −0.156465 | + | 0.369663i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −40.5250 | − | 10.1925i | −1.37078 | − | 0.344765i | ||||
\(875\) | −1.75320 | − | 56.9042i | −0.0592689 | − | 1.92371i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −20.7715 | − | 5.22425i | −0.701405 | − | 0.176410i | −0.123296 | − | 0.992370i | \(-0.539346\pi\) |
−0.578109 | + | 0.815959i | \(0.696209\pi\) | |||||||
\(878\) | 10.9005 | + | 12.7232i | 0.367876 | + | 0.429386i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.872618 | − | 1.51142i | 0.0294159 | − | 0.0509499i | ||||
\(881\) | 15.1743 | + | 26.2827i | 0.511236 | + | 0.885486i | 0.999915 | + | 0.0130227i | \(0.00414536\pi\) |
−0.488680 | + | 0.872463i | \(0.662521\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 32.3454 | − | 14.8812i | 1.08851 | − | 0.500794i | 0.209602 | − | 0.977787i | \(-0.432783\pi\) |
0.878907 | + | 0.476993i | \(0.158273\pi\) | |||||||
\(884\) | 27.8682 | + | 79.0843i | 0.937311 | + | 2.65989i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 59.7679 | + | 48.0950i | 2.00794 | + | 1.61578i | ||||
\(887\) | 30.6388 | + | 46.2387i | 1.02875 | + | 1.55254i | 0.818179 | + | 0.574964i | \(0.194984\pi\) |
0.210573 | + | 0.977578i | \(0.432467\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 50.3522 | + | 51.9274i | 1.68876 | + | 1.74159i | ||||
\(890\) | 70.0218 | − | 13.0893i | 2.34714 | − | 0.438756i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 83.4510 | − | 20.9888i | 2.79415 | − | 0.702756i | ||||
\(893\) | −4.42078 | − | 15.5374i | −0.147936 | − | 0.519941i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.0627833 | − | 0.404457i | 0.00209861 | − | 0.0135195i | ||||
\(896\) | −52.7302 | + | 69.8261i | −1.76159 | + | 2.33273i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4.18000 | − | 26.9280i | −0.139489 | − | 0.898600i | ||||
\(899\) | 11.4549 | + | 6.15114i | 0.382041 | + | 0.205152i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −46.8623 | + | 2.89037i | −1.56121 | + | 0.0962920i | ||||
\(902\) | −1.08680 | + | 4.96247i | −0.0361864 | + | 0.165232i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 73.6776 | − | 45.6193i | 2.45048 | − | 1.51727i | ||||
\(905\) | 4.07827 | + | 8.19027i | 0.135566 | + | 0.272254i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.931615 | + | 0.659477i | −0.0309338 | + | 0.0218976i | −0.593137 | − | 0.805102i | \(-0.702111\pi\) |
0.562203 | + | 0.826999i | \(0.309954\pi\) | |||||||
\(908\) | −67.5504 | + | 69.6637i | −2.24174 | + | 2.31187i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 107.687 | − | 34.2578i | 3.56979 | − | 1.13563i | ||||
\(911\) | −16.1051 | − | 1.99424i | −0.533585 | − | 0.0660722i | −0.148428 | − | 0.988923i | \(-0.547421\pi\) |
−0.385157 | + | 0.922851i | \(0.625853\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.542087 | + | 1.08866i | −0.0179405 | + | 0.0360293i | ||||
\(914\) | −2.98962 | − | 32.2632i | −0.0988879 | − | 1.06717i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −51.1994 | + | 27.4935i | −1.69168 | + | 0.908411i | ||||
\(917\) | −39.4164 | − | 52.1958i | −1.30165 | − | 1.72366i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.20345 | + | 56.1542i | −0.171646 | + | 1.85236i | 0.279801 | + | 0.960058i | \(0.409731\pi\) |
−0.451447 | + | 0.892298i | \(0.649092\pi\) | |||||||
\(920\) | −30.5915 | − | 14.0743i | −1.00857 | − | 0.464017i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −45.6232 | + | 36.7128i | −1.50252 | + | 1.20907i | ||||
\(923\) | 35.5892 | + | 2.19506i | 1.17143 | + | 0.0722514i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.197765 | − | 6.41892i | 0.00650247 | − | 0.211053i | ||||
\(926\) | −77.6019 | −2.55016 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.90402 | −0.160982 | ||||||||
\(929\) | −0.416880 | + | 13.5308i | −0.0136774 | + | 0.443932i | 0.967729 | + | 0.251992i | \(0.0810856\pi\) |
−0.981407 | + | 0.191940i | \(0.938522\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 69.2177 | + | 4.26920i | 2.26852 | + | 0.139917i | ||||
\(932\) | −31.2521 | + | 25.1485i | −1.02370 | + | 0.823765i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −27.7805 | − | 12.7811i | −0.909006 | − | 0.418209i | ||||
\(935\) | −0.132290 | + | 1.42764i | −0.00432636 | + | 0.0466888i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −16.1853 | − | 21.4328i | −0.528751 | − | 0.700179i | 0.452750 | − | 0.891638i | \(-0.350443\pi\) |
−0.981501 | + | 0.191458i | \(0.938678\pi\) | |||||||
\(938\) | 122.732 | − | 65.9056i | 4.00734 | − | 2.15189i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.34879 | − | 25.3475i | −0.0766092 | − | 0.826745i | ||||
\(941\) | 5.39150 | − | 10.8276i | 0.175758 | − | 0.352970i | −0.789715 | − | 0.613474i | \(-0.789771\pi\) |
0.965473 | + | 0.260505i | \(0.0838890\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 34.8372 | + | 4.31378i | 1.13446 | + | 0.140476i | ||||
\(944\) | 36.4545 | − | 11.5970i | 1.18649 | − | 0.377450i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.16106 | + | 1.19739i | −0.0377494 | + | 0.0389304i | ||||
\(947\) | −37.9956 | + | 26.8965i | −1.23469 | + | 0.874019i | −0.995294 | − | 0.0969035i | \(-0.969106\pi\) |
−0.239396 | + | 0.970922i | \(0.576949\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −11.1425 | − | 22.3771i | −0.361700 | − | 0.726392i | ||||
\(950\) | −17.4777 | + | 10.8217i | −0.567051 | + | 0.351103i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −19.4097 | + | 88.6275i | −0.629073 | + | 2.87243i | ||||
\(953\) | 10.9843 | − | 0.677486i | 0.355815 | − | 0.0219459i | 0.117332 | − | 0.993093i | \(-0.462566\pi\) |
0.238483 | + | 0.971147i | \(0.423350\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −22.3926 | − | 12.0245i | −0.724606 | − | 0.389105i | ||||
\(956\) | −0.636618 | − | 4.10116i | −0.0205897 | − | 0.132641i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −26.5149 | + | 35.1115i | −0.856659 | + | 1.13440i | ||||
\(959\) | 2.05214 | − | 13.2201i | 0.0662672 | − | 0.426900i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 6.78018 | + | 23.8299i | 0.218716 | + | 0.768705i | ||||
\(962\) | 46.9067 | − | 11.7975i | 1.51233 | − | 0.380367i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −16.6050 | + | 3.10402i | −0.534812 | + | 0.0999736i | ||||
\(965\) | 19.8971 | + | 20.5195i | 0.640509 | + | 0.660547i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −30.5574 | − | 46.1158i | −0.982660 | − | 1.48298i | −0.872228 | − | 0.489100i | \(-0.837325\pi\) |
−0.110432 | − | 0.993884i | \(-0.535224\pi\) | |||||||
\(968\) | 44.0954 | + | 35.4835i | 1.41728 | + | 1.14048i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −11.6145 | − | 32.9596i | −0.372919 | − | 1.05827i | ||||
\(971\) | 5.61816 | − | 2.58476i | 0.180295 | − | 0.0829489i | −0.325750 | − | 0.945456i | \(-0.605617\pi\) |
0.506045 | + | 0.862507i | \(0.331107\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.44194 | − | 2.49751i | −0.0462264 | − | 0.0800664i | ||||
\(974\) | −52.4310 | + | 90.8132i | −1.68000 | + | 2.90984i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −24.4950 | − | 28.5907i | −0.784067 | − | 0.915167i | ||||
\(977\) | −48.6064 | − | 12.2250i | −1.55506 | − | 0.391112i | −0.631749 | − | 0.775173i | \(-0.717663\pi\) |
−0.923308 | + | 0.384061i | \(0.874525\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.105763 | − | 3.43277i | −0.00338019 | − | 0.109712i | ||||
\(980\) | 105.982 | + | 26.6555i | 3.38546 | + | 0.851478i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.72099 | − | 8.79119i | 0.118742 | − | 0.280538i | ||||
\(983\) | −6.66925 | + | 11.5515i | −0.212716 | + | 0.368435i | −0.952564 | − | 0.304340i | \(-0.901564\pi\) |
0.739848 | + | 0.672774i | \(0.234898\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −46.1236 | + | 5.71133i | −1.46962 | + | 0.181978i | ||||
\(986\) | 43.8519 | − | 20.1751i | 1.39653 | − | 0.642506i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −76.8608 | − | 70.0679i | −2.44527 | − | 2.22916i | ||||
\(989\) | 8.97890 | + | 7.22529i | 0.285512 | + | 0.229751i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −43.8980 | − | 8.20596i | −1.39447 | − | 0.260671i | −0.567709 | − | 0.823229i | \(-0.692170\pi\) |
−0.826758 | + | 0.562558i | \(0.809817\pi\) | |||||||
\(992\) | 1.63429 | + | 1.68542i | 0.0518889 | + | 0.0535122i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 61.5786 | + | 43.5906i | 1.95315 | + | 1.38261i | ||||
\(995\) | −33.7314 | + | 8.48378i | −1.06936 | + | 0.268954i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 5.64433 | + | 25.7728i | 0.178758 | + | 0.816233i | 0.976889 | + | 0.213749i | \(0.0685674\pi\) |
−0.798131 | + | 0.602484i | \(0.794178\pi\) | |||||||
\(998\) | −6.98840 | + | 45.0200i | −0.221214 | + | 1.42508i | ||||
\(999\) | 0 | 0 |
(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 | 927.2.ba.e.19.2 | ✓ | 512 | |
3.2 | odd | 2 | inner | 927.2.ba.e.19.15 | yes | 512 | |
103.38 | even | 51 | inner | 927.2.ba.e.244.2 | yes | 512 | |
309.38 | odd | 102 | inner | 927.2.ba.e.244.15 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
927.2.ba.e.19.2 | ✓ | 512 | 1.1 | even | 1 | trivial | |
927.2.ba.e.19.15 | yes | 512 | 3.2 | odd | 2 | inner | |
927.2.ba.e.244.2 | yes | 512 | 103.38 | even | 51 | inner | |
927.2.ba.e.244.15 | yes | 512 | 309.38 | odd | 102 | inner |