Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(25,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bq (of order \(9\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.15 | ||
Character | \(\chi\) | \(=\) | 756.25 |
Dual form | 756.2.bq.a.121.15 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.568135 | − | 1.63622i | 0.328013 | − | 0.944673i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.924390 | + | 0.336451i | 0.413400 | + | 0.150465i | 0.540343 | − | 0.841445i | \(-0.318294\pi\) |
−0.126943 | + | 0.991910i | \(0.540517\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.51517 | − | 2.16893i | −0.572682 | − | 0.819777i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.35445 | − | 1.85919i | −0.784815 | − | 0.619730i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.17655 | − | 0.792199i | 0.656255 | − | 0.238857i | 0.00763609 | − | 0.999971i | \(-0.497569\pi\) |
0.648618 | + | 0.761114i | \(0.275347\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.0760705 | − | 0.431417i | −0.0210982 | − | 0.119654i | 0.972440 | − | 0.233154i | \(-0.0749047\pi\) |
−0.993538 | + | 0.113501i | \(0.963794\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.07569 | − | 1.32136i | 0.277741 | − | 0.341173i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.0707882 | −0.0171687 | −0.00858433 | − | 0.999963i | \(-0.502733\pi\) | ||||
−0.00858433 | + | 0.999963i | \(0.502733\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.639828 | −0.146787 | −0.0733933 | − | 0.997303i | \(-0.523383\pi\) | ||||
−0.0733933 | + | 0.997303i | \(0.523383\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.40967 | + | 1.24692i | −0.962269 | + | 0.272100i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.21450 | − | 6.88778i | −0.253241 | − | 1.43620i | −0.800548 | − | 0.599269i | \(-0.795458\pi\) |
0.547307 | − | 0.836932i | \(-0.315653\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.08892 | − | 2.59191i | −0.617785 | − | 0.518383i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.37969 | + | 2.79613i | −0.842872 | + | 0.538115i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.0761311 | − | 0.431761i | 0.0141372 | − | 0.0801759i | −0.976923 | − | 0.213592i | \(-0.931484\pi\) |
0.991060 | + | 0.133416i | \(0.0425947\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.69688 | − | 3.10205i | 0.663980 | − | 0.557145i | −0.247297 | − | 0.968940i | \(-0.579542\pi\) |
0.911277 | + | 0.411794i | \(0.135098\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.0596402 | − | 4.01140i | −0.0103820 | − | 0.698294i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.670876 | − | 2.51472i | −0.113399 | − | 0.425065i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.48013 | + | 4.29572i | −0.407732 | + | 0.706212i | −0.994635 | − | 0.103445i | \(-0.967013\pi\) |
0.586904 | + | 0.809657i | \(0.300347\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.749113 | − | 0.120635i | −0.119954 | − | 0.0193171i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.764696 | − | 4.33681i | −0.119425 | − | 0.677295i | −0.984464 | − | 0.175589i | \(-0.943817\pi\) |
0.865038 | − | 0.501706i | \(-0.167294\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.62677 | + | 5.56052i | 1.01057 | + | 0.847972i | 0.988414 | − | 0.151783i | \(-0.0485014\pi\) |
0.0221594 | + | 0.999754i | \(0.492946\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.55090 | − | 2.51077i | −0.231195 | − | 0.374284i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.02798 | + | 2.54078i | 0.441677 | + | 0.370611i | 0.836336 | − | 0.548217i | \(-0.184693\pi\) |
−0.394660 | + | 0.918827i | \(0.629137\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.40849 | + | 6.57261i | −0.344070 | + | 0.938944i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.0402172 | + | 0.115825i | −0.00563154 | + | 0.0162188i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.26738 | + | 3.92722i | −0.311449 | + | 0.539445i | −0.978676 | − | 0.205409i | \(-0.934147\pi\) |
0.667228 | + | 0.744854i | \(0.267481\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.27852 | 0.307235 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.363509 | + | 1.04690i | −0.0481479 | + | 0.138665i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.82083 | − | 10.3264i | −0.237052 | − | 1.34439i | −0.838249 | − | 0.545288i | \(-0.816420\pi\) |
0.601197 | − | 0.799101i | \(-0.294691\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.973637 | − | 0.816979i | −0.124661 | − | 0.104603i | 0.578326 | − | 0.815806i | \(-0.303706\pi\) |
−0.702987 | + | 0.711203i | \(0.748151\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.465050 | + | 7.92362i | −0.0585908 | + | 0.998282i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.0748317 | − | 0.424392i | 0.00928174 | − | 0.0526393i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.87117 | + | 3.22884i | 1.08379 | + | 0.394466i | 0.821315 | − | 0.570474i | \(-0.193241\pi\) |
0.262470 | + | 0.964940i | \(0.415463\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −11.9599 | − | 1.92599i | −1.43981 | − | 0.231862i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.96925 | − | 6.87494i | −0.471063 | − | 0.815905i | 0.528389 | − | 0.849002i | \(-0.322796\pi\) |
−0.999452 | + | 0.0330973i | \(0.989463\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.70862 | − | 2.95941i | −0.199979 | − | 0.346373i | 0.748543 | − | 0.663087i | \(-0.230754\pi\) |
−0.948521 | + | 0.316714i | \(0.897421\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −5.99587 | + | 3.58161i | −0.692344 | + | 0.413568i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −5.01608 | − | 3.52046i | −0.571635 | − | 0.401193i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.214314 | + | 0.0780040i | −0.0241122 | + | 0.00877614i | −0.354048 | − | 0.935227i | \(-0.615195\pi\) |
0.329936 | + | 0.944003i | \(0.392973\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.08683 | + | 8.75472i | 0.231870 | + | 0.972747i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.32377 | − | 7.50749i | 0.145303 | − | 0.824055i | −0.821820 | − | 0.569747i | \(-0.807041\pi\) |
0.967123 | − | 0.254308i | \(-0.0818476\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.0654359 | − | 0.0238167i | −0.00709752 | − | 0.00258329i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.663204 | − | 0.369866i | −0.0711029 | − | 0.0396538i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.64267 | 0.174123 | 0.0870614 | − | 0.996203i | \(-0.472252\pi\) | ||||
0.0870614 | + | 0.996203i | \(0.472252\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.820453 | + | 0.818664i | −0.0860068 | + | 0.0858193i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.97532 | − | 7.81131i | −0.308526 | − | 0.809995i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.591451 | − | 0.215271i | −0.0606816 | − | 0.0220863i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.80304 | + | 7.38663i | 0.893813 | + | 0.749998i | 0.968971 | − | 0.247173i | \(-0.0795017\pi\) |
−0.0751579 | + | 0.997172i | \(0.523946\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −6.59742 | − | 2.18143i | −0.663065 | − | 0.219242i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.978500 | − | 5.54935i | 0.0973644 | − | 0.552181i | −0.896633 | − | 0.442775i | \(-0.853994\pi\) |
0.993997 | − | 0.109406i | \(-0.0348949\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 11.3798 | + | 4.14192i | 1.12129 | + | 0.408116i | 0.835122 | − | 0.550064i | \(-0.185397\pi\) |
0.286166 | + | 0.958180i | \(0.407619\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.49578 | − | 0.330996i | −0.438743 | − | 0.0323019i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.75760 | + | 9.97246i | 0.556609 | + | 0.964074i | 0.997776 | + | 0.0666497i | \(0.0212310\pi\) |
−0.441168 | + | 0.897425i | \(0.645436\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.26485 | + | 7.38694i | −0.408499 | + | 0.707541i | −0.994722 | − | 0.102609i | \(-0.967281\pi\) |
0.586223 | + | 0.810150i | \(0.300614\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.61970 | + | 6.49860i | 0.533398 | + | 0.616820i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.1155 | − | 10.1661i | 1.13973 | − | 0.956344i | 0.140297 | − | 0.990110i | \(-0.455194\pi\) |
0.999430 | + | 0.0337656i | \(0.0107500\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.19472 | − | 6.77561i | 0.111409 | − | 0.631829i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.622983 | + | 1.15718i | −0.0575948 | + | 0.106981i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.107256 | + | 0.153534i | 0.00983218 | + | 0.0140745i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.31670 | + | 3.62214i | −0.392427 | + | 0.329285i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −7.53043 | − | 1.21268i | −0.678996 | − | 0.109344i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −4.44261 | − | 7.69482i | −0.397359 | − | 0.688246i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.41882 | + | 4.18953i | −0.214636 | + | 0.371760i | −0.953160 | − | 0.302467i | \(-0.902190\pi\) |
0.738524 | + | 0.674227i | \(0.235523\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 12.8631 | − | 7.68374i | 1.13254 | − | 0.676516i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.93441 | + | 10.9706i | 0.169010 | + | 0.958504i | 0.944833 | + | 0.327553i | \(0.106224\pi\) |
−0.775823 | + | 0.630951i | \(0.782665\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.969452 | + | 1.38774i | 0.0840621 | + | 0.120332i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.98930 | + | 1.11116i | −0.429411 | + | 0.0956336i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 15.8464 | + | 13.2967i | 1.35385 | + | 1.13602i | 0.977829 | + | 0.209405i | \(0.0671529\pi\) |
0.376022 | + | 0.926611i | \(0.377292\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 20.1891 | + | 7.34824i | 1.71242 | + | 0.623269i | 0.997140 | − | 0.0755707i | \(-0.0240778\pi\) |
0.715278 | + | 0.698840i | \(0.246300\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.87758 | − | 3.51095i | 0.494982 | − | 0.295675i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.507340 | − | 0.878738i | −0.0424259 | − | 0.0734838i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.215641 | − | 0.373501i | 0.0179080 | − | 0.0310176i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 9.38590 | + | 7.67495i | 0.774136 | + | 0.633019i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.710501 | − | 0.596181i | 0.0582065 | − | 0.0488410i | −0.613220 | − | 0.789912i | \(-0.710126\pi\) |
0.671427 | + | 0.741071i | \(0.265682\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.76803 | + | 1.00748i | −0.225259 | + | 0.0819877i | −0.452184 | − | 0.891925i | \(-0.649355\pi\) |
0.226925 | + | 0.973912i | \(0.427133\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.166667 | + | 0.131609i | 0.0134742 | + | 0.0106399i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.46105 | − | 1.62369i | 0.358320 | − | 0.130418i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.711723 | + | 4.03638i | 0.0568017 | + | 0.322138i | 0.999948 | − | 0.0102407i | \(-0.00325978\pi\) |
−0.943146 | + | 0.332379i | \(0.892149\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.13762 | + | 5.94113i | 0.407440 | + | 0.471162i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −13.0989 | + | 13.0704i | −1.03234 | + | 1.03009i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.17014 | + | 7.22289i | 0.326630 | + | 0.565740i | 0.981841 | − | 0.189706i | \(-0.0607535\pi\) |
−0.655211 | + | 0.755446i | \(0.727420\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.29451 | − | 3.72816i | 0.100777 | − | 0.290237i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 14.4476 | − | 12.1230i | 1.11799 | − | 0.938107i | 0.119491 | − | 0.992835i | \(-0.461874\pi\) |
0.998501 | + | 0.0547283i | \(0.0174293\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.0357 | − | 4.38063i | 0.925821 | − | 0.336971i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.50644 | + | 1.18956i | 0.115200 | + | 0.0909681i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.44042 | − | 8.16901i | 0.109513 | − | 0.621078i | −0.879809 | − | 0.475328i | \(-0.842329\pi\) |
0.989321 | − | 0.145750i | \(-0.0465596\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.941414 | + | 10.6269i | −0.0711642 | + | 0.803315i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −17.9308 | − | 2.88753i | −1.34776 | − | 0.217040i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.83453 | 0.137120 | 0.0685598 | − | 0.997647i | \(-0.478160\pi\) | ||||
0.0685598 | + | 0.997647i | \(0.478160\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.56664 | − | 9.64170i | 0.413765 | − | 0.716662i | −0.581533 | − | 0.813523i | \(-0.697547\pi\) |
0.995298 | + | 0.0968610i | \(0.0308802\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.88992 | + | 1.12893i | −0.139707 | + | 0.0834531i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.73791 | + | 3.13648i | −0.274817 | + | 0.230599i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.154074 | + | 0.0560784i | −0.0112670 | + | 0.00410086i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 12.7006 | + | 5.26261i | 0.923832 | + | 0.382799i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.565067 | + | 0.205667i | −0.0408868 | + | 0.0148816i | −0.362383 | − | 0.932029i | \(-0.618037\pi\) |
0.321496 | + | 0.946911i | \(0.395814\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −16.2542 | + | 13.6389i | −1.17000 | + | 0.981750i | −0.999993 | − | 0.00369161i | \(-0.998825\pi\) |
−0.170011 | + | 0.985442i | \(0.554380\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.651885 | − | 0.363553i | −0.0466824 | − | 0.0260346i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −7.86191 | + | 13.6172i | −0.560138 | + | 0.970188i | 0.437346 | + | 0.899293i | \(0.355919\pi\) |
−0.997484 | + | 0.0708942i | \(0.977415\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −20.1373 | −1.42750 | −0.713749 | − | 0.700402i | \(-0.753004\pi\) | ||||
−0.713749 | + | 0.700402i | \(0.753004\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 10.3231 | − | 12.6808i | 0.728137 | − | 0.894433i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1.05181 | + | 0.489070i | −0.0738225 | + | 0.0343260i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.752243 | − | 4.26618i | 0.0525390 | − | 0.297963i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −9.94621 | + | 18.4749i | −0.691309 | + | 1.28409i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.39262 | + | 0.506871i | −0.0963294 | + | 0.0350610i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.8097 | + | 9.90955i | −0.813017 | + | 0.682202i | −0.951326 | − | 0.308187i | \(-0.900278\pi\) |
0.138309 | + | 0.990389i | \(0.455833\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −13.5040 | + | 2.58868i | −0.925278 | + | 0.177373i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 4.25488 | + | 7.36967i | 0.290181 | + | 0.502608i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −12.3296 | − | 3.31812i | −0.836985 | − | 0.225249i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −5.81298 | + | 1.11433i | −0.392805 | + | 0.0752996i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.00538489 | + | 0.0305392i | 0.000362227 | + | 0.00205429i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 17.0256 | − | 6.19682i | 1.14012 | − | 0.414970i | 0.298163 | − | 0.954515i | \(-0.403626\pi\) |
0.841957 | + | 0.539545i | \(0.181404\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.45384 | + | 11.8454i | 0.163589 | + | 0.789695i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 15.3048 | − | 5.57050i | 1.01582 | − | 0.369727i | 0.220153 | − | 0.975465i | \(-0.429344\pi\) |
0.795664 | + | 0.605738i | \(0.207122\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.341403 | − | 0.286471i | 0.0225605 | − | 0.0189305i | −0.631438 | − | 0.775427i | \(-0.717535\pi\) |
0.653998 | + | 0.756496i | \(0.273090\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −8.61006 | + | 6.20732i | −0.566500 | + | 0.408412i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.8701 | − | 20.5596i | 0.777634 | − | 1.34690i | −0.155668 | − | 0.987810i | \(-0.549753\pi\) |
0.933302 | − | 0.359093i | \(-0.116914\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.94419 | + | 3.36744i | 0.126825 | + | 0.219668i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.00587248 | + | 0.394983i | 0.000381458 | + | 0.0256569i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −7.43765 | − | 2.70709i | −0.481102 | − | 0.175107i | 0.0900730 | − | 0.995935i | \(-0.471290\pi\) |
−0.571175 | + | 0.820828i | \(0.693512\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.10082 | − | 0.923694i | −0.0709097 | − | 0.0595003i | 0.606644 | − | 0.794974i | \(-0.292515\pi\) |
−0.677554 | + | 0.735473i | \(0.736960\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.5103 | + | 1.55935i | 0.994984 | + | 0.100032i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −4.43774 | + | 5.26532i | −0.283517 | + | 0.336389i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0486720 | + | 0.276033i | 0.00309693 | + | 0.0175636i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −11.5318 | − | 6.43126i | −0.730801 | − | 0.407564i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.96367 | − | 15.5255i | 0.565782 | − | 0.979962i | −0.431195 | − | 0.902259i | \(-0.641908\pi\) |
0.996977 | − | 0.0777036i | \(-0.0247588\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.09992 | − | 14.0295i | −0.509237 | − | 0.882025i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.0761459 | + | 0.0935366i | −0.00476844 | + | 0.00585749i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −17.7194 | + | 14.8683i | −1.10530 | + | 0.927460i | −0.997770 | − | 0.0667413i | \(-0.978740\pi\) |
−0.107534 | + | 0.994201i | \(0.534295\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 13.0749 | − | 1.12954i | 0.812437 | − | 0.0701859i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.981971 | + | 0.875015i | −0.0607825 | + | 0.0541621i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.72362 | + | 15.4464i | −0.167945 | + | 0.952465i | 0.778030 | + | 0.628227i | \(0.216219\pi\) |
−0.945975 | + | 0.324238i | \(0.894892\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.41726 | + | 2.86742i | −0.209920 | + | 0.176144i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.933259 | − | 2.68778i | 0.0571145 | − | 0.164489i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −9.94507 | + | 17.2254i | −0.606362 | + | 1.05025i | 0.385473 | + | 0.922719i | \(0.374038\pi\) |
−0.991835 | + | 0.127530i | \(0.959295\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.36148 | + | 2.35815i | 0.0827038 | + | 0.143247i | 0.904410 | − | 0.426663i | \(-0.140311\pi\) |
−0.821707 | + | 0.569911i | \(0.806978\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.873389 | + | 1.80755i | 0.0528599 | + | 0.109398i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −8.77651 | − | 3.19439i | −0.529244 | − | 0.192629i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.705456 | + | 4.00084i | −0.0423867 | + | 0.240387i | −0.998639 | − | 0.0521564i | \(-0.983391\pi\) |
0.956252 | + | 0.292544i | \(0.0945017\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −14.4714 | + | 0.430408i | −0.866381 | + | 0.0257679i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 11.2218 | + | 9.41620i | 0.669436 | + | 0.561724i | 0.912898 | − | 0.408187i | \(-0.133839\pi\) |
−0.243462 | + | 0.969910i | \(0.578283\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 26.9033 | + | 9.79201i | 1.59924 | + | 0.582074i | 0.979271 | − | 0.202555i | \(-0.0649244\pi\) |
0.619965 | + | 0.784629i | \(0.287147\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.688254 | + | 0.845442i | −0.0407687 | + | 0.0500797i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −8.24757 | + | 8.22959i | −0.486839 | + | 0.485777i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.9950 | −0.999705 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 17.0875 | − | 10.2071i | 1.00169 | − | 0.598352i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 5.06330 | + | 1.84289i | 0.295801 | + | 0.107663i | 0.485658 | − | 0.874149i | \(-0.338580\pi\) |
−0.189857 | + | 0.981812i | \(0.560802\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.79118 | − | 10.1583i | 0.104287 | − | 0.591438i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −7.31753 | + | 9.55549i | −0.424606 | + | 0.554466i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.87912 | + | 1.04791i | −0.166504 | + | 0.0606024i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.01965 | − | 22.7981i | 0.116411 | − | 1.31406i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −8.52405 | − | 4.75382i | −0.489694 | − | 0.273100i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −0.625148 | − | 1.08279i | −0.0357959 | − | 0.0620002i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.61320 | + | 9.72235i | 0.320362 | + | 0.554884i | 0.980563 | − | 0.196206i | \(-0.0628620\pi\) |
−0.660200 | + | 0.751089i | \(0.729529\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 13.2424 | − | 16.2668i | 0.753333 | − | 0.925384i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −12.0130 | − | 4.37236i | −0.681193 | − | 0.247934i | −0.0218333 | − | 0.999762i | \(-0.506950\pi\) |
−0.659360 | + | 0.751828i | \(0.729173\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.98614 | − | 16.9353i | 0.168787 | − | 0.957237i | −0.776287 | − | 0.630380i | \(-0.782899\pi\) |
0.945074 | − | 0.326857i | \(-0.105990\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.09579 | + | 7.16805i | −0.174428 | + | 0.403874i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −20.0577 | − | 16.8304i | −1.12655 | − | 0.945290i | −0.127636 | − | 0.991821i | \(-0.540739\pi\) |
−0.998917 | + | 0.0465309i | \(0.985183\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.176338 | − | 1.00006i | −0.00987300 | − | 0.0559926i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 19.5883 | − | 3.75501i | 1.09331 | − | 0.209584i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.0452923 | 0.00252013 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.883221 | + | 1.52978i | −0.0489923 | + | 0.0848571i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 9.66366 | + | 11.1750i | 0.534402 | + | 0.617980i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.922842 | − | 10.4172i | 0.0508779 | − | 0.574319i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.4058 | − | 15.4443i | −1.01167 | − | 0.848896i | −0.0231161 | − | 0.999733i | \(-0.507359\pi\) |
−0.988559 | + | 0.150837i | \(0.951803\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 13.8259 | − | 5.50300i | 0.757655 | − | 0.301562i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 7.11408 | + | 5.96942i | 0.388683 | + | 0.326144i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.216639 | + | 1.22862i | 0.0118011 | + | 0.0669272i | 0.990140 | − | 0.140084i | \(-0.0447374\pi\) |
−0.978339 | + | 0.207011i | \(0.933626\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −9.75074 | − | 25.5993i | −0.529588 | − | 1.39036i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 5.58901 | − | 9.68045i | 0.302662 | − | 0.524226i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.9048 | − | 4.73481i | 0.966768 | − | 0.255656i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −10.4076 | − | 5.80430i | −0.560329 | − | 0.312493i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 21.3643 | − | 17.9268i | 1.14689 | − | 0.962359i | 0.147252 | − | 0.989099i | \(-0.452957\pi\) |
0.999642 | + | 0.0267405i | \(0.00851279\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.39046 | − | 24.8995i | 0.235016 | − | 1.33284i | −0.607565 | − | 0.794270i | \(-0.707854\pi\) |
0.842581 | − | 0.538570i | \(-0.181035\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.53946 | + | 1.67677i | 0.0821704 | + | 0.0894994i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 17.1107 | + | 14.3576i | 0.910712 | + | 0.764178i | 0.972254 | − | 0.233926i | \(-0.0751574\pi\) |
−0.0615422 | + | 0.998104i | \(0.519602\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.35606 | − | 7.69058i | −0.0719720 | − | 0.408174i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.312152 | − | 0.0882672i | 0.0165209 | − | 0.00467159i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −33.7116 | −1.77923 | −0.889615 | − | 0.456711i | \(-0.849027\pi\) | ||||
−0.889615 | + | 0.456711i | \(0.849027\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.5906 | −0.978454 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.47416 | + | 9.12094i | 0.182346 | + | 0.478725i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.583734 | − | 3.31052i | −0.0305540 | − | 0.173281i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.4582 | − | 4.17046i | 0.598115 | − | 0.217696i | −0.0251797 | − | 0.999683i | \(-0.508016\pi\) |
0.623295 | + | 0.781987i | \(0.285794\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −6.26251 | + | 11.6325i | −0.326013 | + | 0.605563i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 11.9533 | − | 1.03264i | 0.620586 | − | 0.0536120i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.30247 | − | 1.56597i | −0.222773 | − | 0.0810829i | 0.228222 | − | 0.973609i | \(-0.426709\pi\) |
−0.450996 | + | 0.892526i | \(0.648931\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −15.1144 | + | 2.89740i | −0.780506 | + | 0.149621i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.192060 | −0.00989161 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −18.2509 | −0.937486 | −0.468743 | − | 0.883334i | \(-0.655293\pi\) | ||||
−0.468743 | + | 0.883334i | \(0.655293\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 5.48078 | + | 6.33795i | 0.280789 | + | 0.324703i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −24.3184 | − | 8.85116i | −1.24261 | − | 0.452273i | −0.364712 | − | 0.931120i | \(-0.618833\pi\) |
−0.877898 | + | 0.478847i | \(0.841055\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.45235 | − | 4.94194i | −0.175948 | − | 0.251865i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.26431 | − | 25.4124i | −0.267600 | − | 1.29178i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 16.6769 | − | 6.06989i | 0.845552 | − | 0.307756i | 0.117326 | − | 0.993093i | \(-0.462568\pi\) |
0.728225 | + | 0.685338i | \(0.240345\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.0859723 | + | 0.487573i | 0.00434781 | + | 0.0246576i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 19.0493 | + | 3.06765i | 0.960911 | + | 0.154742i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.224355 | −0.0112885 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.40127 | −0.321270 | −0.160635 | − | 0.987014i | \(-0.551354\pi\) | ||||
−0.160635 | + | 0.987014i | \(0.551354\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.82143 | − | 0.797814i | 0.141248 | − | 0.0399407i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 0.543269 | + | 3.08103i | 0.0271296 | + | 0.153859i | 0.995363 | − | 0.0961878i | \(-0.0306649\pi\) |
−0.968234 | + | 0.250047i | \(0.919554\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.61950 | − | 1.35893i | −0.0806732 | − | 0.0676929i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.01649 | + | 8.79489i | −0.0505097 | + | 0.437022i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.99507 | + | 11.3146i | −0.0988920 | + | 0.560844i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −16.3666 | + | 13.7332i | −0.809277 | + | 0.679064i | −0.950435 | − | 0.310923i | \(-0.899362\pi\) |
0.141158 | + | 0.989987i | \(0.454918\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 30.7593 | − | 18.3739i | 1.51724 | − | 0.906319i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −19.6384 | + | 19.5956i | −0.966344 | + | 0.964238i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.74958 | − | 6.49447i | 0.184060 | − | 0.318801i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 23.4935 | − | 28.8591i | 1.15048 | − | 1.41324i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −5.11435 | − | 29.0049i | −0.249852 | − | 1.41698i | −0.808948 | − | 0.587880i | \(-0.799963\pi\) |
0.559096 | − | 0.829103i | \(-0.311148\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.53987 | − | 1.29210i | −0.0750487 | − | 0.0629733i | 0.604492 | − | 0.796612i | \(-0.293376\pi\) |
−0.679540 | + | 0.733638i | \(0.737821\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −2.40543 | − | 11.6117i | −0.116956 | − | 0.564581i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.218659 | + | 0.183477i | 0.0106065 | + | 0.00889994i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.296736 | + | 3.34961i | −0.0143601 | + | 0.162099i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.72605 | + | 0.330879i | −0.0833344 | + | 0.0159750i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −11.8904 | + | 20.5947i | −0.572739 | + | 0.992014i | 0.423544 | + | 0.905876i | \(0.360786\pi\) |
−0.996283 | + | 0.0861382i | \(0.972547\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.91761 | 0.380496 | 0.190248 | − | 0.981736i | \(-0.439071\pi\) | ||||
0.190248 | + | 0.981736i | \(0.439071\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.488617 | − | 0.565035i | −0.0234274 | − | 0.0270914i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.777072 | + | 4.40699i | 0.0371724 | + | 0.210815i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −29.7095 | − | 24.9292i | −1.41796 | − | 1.18981i | −0.952423 | − | 0.304778i | \(-0.901418\pi\) |
−0.465535 | − | 0.885030i | \(-0.654138\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 17.8904 | − | 10.9970i | 0.851923 | − | 0.523667i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 2.51368 | − | 14.2558i | 0.119429 | − | 0.677313i | −0.865033 | − | 0.501714i | \(-0.832703\pi\) |
0.984462 | − | 0.175598i | \(-0.0561860\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.51847 | + | 0.552678i | 0.0719824 | + | 0.0261994i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.571824 | − | 1.50125i | −0.0270463 | − | 0.0710066i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 8.12221 | + | 14.0681i | 0.383311 | + | 0.663914i | 0.991533 | − | 0.129853i | \(-0.0414505\pi\) |
−0.608222 | + | 0.793767i | \(0.708117\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.10001 | − | 8.83348i | −0.240150 | − | 0.415953i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.0758475 | + | 5.10150i | 0.00356363 | + | 0.239689i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.03386 | + | 0.480723i | −0.0484680 | + | 0.0225367i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −11.9071 | + | 4.33383i | −0.556990 | + | 0.202728i | −0.605150 | − | 0.796112i | \(-0.706887\pi\) |
0.0481593 | + | 0.998840i | \(0.484664\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.310030 | − | 0.197933i | 0.0144710 | − | 0.00923870i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.95397 | + | 11.0815i | −0.0910055 | + | 0.516118i | 0.904893 | + | 0.425639i | \(0.139951\pi\) |
−0.995898 | + | 0.0904786i | \(0.971160\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −34.9431 | − | 12.7183i | −1.62394 | − | 0.591068i | −0.639817 | − | 0.768527i | \(-0.720990\pi\) |
−0.984128 | + | 0.177460i | \(0.943212\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.122238 | − | 8.22175i | −0.00566867 | − | 0.381274i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −38.0252 | −1.75960 | −0.879799 | − | 0.475345i | \(-0.842323\pi\) | ||||
−0.879799 | + | 0.475345i | \(0.842323\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.43825 | − | 24.1332i | −0.297291 | − | 1.11437i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.00877 | + | 1.12867i | 0.322947 | + | 0.0520065i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 18.8285 | + | 6.85303i | 0.865737 | + | 0.315103i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.97638 | + | 1.65838i | 0.0906825 | + | 0.0760917i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 12.6399 | − | 5.03093i | 0.578740 | − | 0.230350i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 0.506346 | − | 2.87163i | 0.0231355 | − | 0.131208i | −0.971052 | − | 0.238867i | \(-0.923224\pi\) |
0.994188 | + | 0.107658i | \(0.0343353\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.04191 | + | 0.743196i | 0.0931032 | + | 0.0338868i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 13.9441 | + | 28.8584i | 0.634476 | + | 1.31310i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 5.65221 | + | 9.78992i | 0.256654 | + | 0.444537i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −17.4368 | + | 30.2014i | −0.790136 | + | 1.36856i | 0.135746 | + | 0.990744i | \(0.456657\pi\) |
−0.925882 | + | 0.377812i | \(0.876677\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 14.1874 | − | 2.71969i | 0.641579 | − | 0.122989i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −19.9781 | + | 16.7636i | −0.901599 | + | 0.756531i | −0.970502 | − | 0.241092i | \(-0.922494\pi\) |
0.0689034 | + | 0.997623i | \(0.478050\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.00538918 | + | 0.0305635i | −0.000242716 | + | 0.00137651i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −5.36465 | − | 4.23620i | −0.241123 | − | 0.190403i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −8.89713 | + | 19.0257i | −0.399091 | + | 0.853421i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 18.8204 | − | 15.7922i | 0.842517 | − | 0.706956i | −0.115611 | − | 0.993295i | \(-0.536883\pi\) |
0.958129 | + | 0.286339i | \(0.0924382\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −11.6277 | − | 30.5271i | −0.519489 | − | 1.36385i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −13.4101 | − | 23.2270i | −0.597929 | − | 1.03564i | −0.993126 | − | 0.117047i | \(-0.962657\pi\) |
0.395198 | − | 0.918596i | \(-0.370676\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.77160 | − | 4.80055i | 0.123335 | − | 0.213622i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.329792 | − | 22.1818i | −0.0146466 | − | 0.985129i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 2.69329 | + | 15.2744i | 0.119378 | + | 0.677027i | 0.984489 | + | 0.175446i | \(0.0561369\pi\) |
−0.865111 | + | 0.501581i | \(0.832752\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.82990 | + | 8.18990i | −0.169425 | + | 0.362300i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.80225 | − | 1.78904i | 0.123722 | − | 0.0789880i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 9.12586 | + | 7.65750i | 0.402133 | + | 0.337430i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8.60336 | + | 3.13137i | 0.378376 | + | 0.137717i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −12.5480 | − | 6.99794i | −0.550795 | − | 0.307176i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 3.33632 | + | 5.77867i | 0.146167 | + | 0.253168i | 0.929808 | − | 0.368046i | \(-0.119973\pi\) |
−0.783641 | + | 0.621214i | \(0.786640\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.871304 | + | 1.50914i | −0.0380995 | + | 0.0659902i | −0.884446 | − | 0.466642i | \(-0.845464\pi\) |
0.846347 | + | 0.532632i | \(0.178797\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 16.8530 | + | 7.57785i | 0.735527 | + | 0.330724i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.261696 | + | 0.219589i | −0.0113996 | + | 0.00956544i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −24.3535 | + | 8.86396i | −1.05885 | + | 0.385390i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −14.9118 | + | 27.6983i | −0.647116 | + | 1.20201i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.81280 | + | 0.659806i | −0.0785212 | + | 0.0285794i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.96703 | + | 11.1556i | 0.0850422 | + | 0.482298i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.04226 | − | 3.00171i | 0.0449770 | − | 0.129533i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.0353816 | + | 16.2136i | −0.00152399 | + | 0.698370i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.64106 | − | 4.57445i | −0.113548 | − | 0.196671i | 0.803650 | − | 0.595102i | \(-0.202888\pi\) |
−0.917198 | + | 0.398431i | \(0.869555\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −12.6134 | − | 14.5860i | −0.541291 | − | 0.625947i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −6.42773 | + | 5.39350i | −0.275334 | + | 0.231032i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.0366163 | − | 0.0133272i | 0.00156560 | − | 0.000569832i | −0.341237 | − | 0.939977i | \(-0.610846\pi\) |
0.342803 | + | 0.939407i | \(0.388624\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0.773457 | + | 3.73371i | 0.0330104 | + | 0.159351i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.0487108 | + | 0.276253i | −0.00207515 | + | 0.0117688i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.493909 | + | 0.346642i | 0.0210031 | + | 0.0147407i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 3.00834 | + | 7.89799i | 0.127697 | + | 0.335251i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 25.4419 | 1.07801 | 0.539003 | − | 0.842304i | \(-0.318801\pi\) | ||||
0.539003 | + | 0.842304i | \(0.318801\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.89480 | − | 3.28190i | 0.0801416 | − | 0.138809i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.00422182 | + | 0.283959i | 0.000178245 | + | 0.0119888i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 24.2182 | − | 20.3215i | 1.02068 | − | 0.856448i | 0.0309629 | − | 0.999521i | \(-0.490143\pi\) |
0.989712 | + | 0.143072i | \(0.0456982\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 14.6198 | − | 5.32117i | 0.615059 | − | 0.223863i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 15.8264 | − | 17.7911i | 0.664648 | − | 0.747156i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 15.8922 | − | 5.78428i | 0.666235 | − | 0.242490i | 0.0133088 | − | 0.999911i | \(-0.495764\pi\) |
0.652926 | + | 0.757422i | \(0.273541\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.9549 | − | 9.19222i | 0.458447 | − | 0.384682i | −0.384112 | − | 0.923286i | \(-0.625493\pi\) |
0.842559 | + | 0.538604i | \(0.181048\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.0154835 | + | 1.04142i | 0.000646834 | + | 0.0435060i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −14.1010 | + | 24.4237i | −0.588054 | + | 1.01854i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −30.1251 | −1.25413 | −0.627063 | − | 0.778969i | \(-0.715743\pi\) | ||||
−0.627063 | + | 0.778969i | \(0.715743\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 13.0817 | + | 34.3443i | 0.543657 | + | 1.42730i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −18.2890 | + | 8.50400i | −0.758754 | + | 0.352805i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.82393 | + | 10.3440i | −0.0755393 | + | 0.428405i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.965212 | + | 0.860081i | −0.0399066 | + | 0.0355600i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −3.93620 | + | 1.43266i | −0.162464 | + | 0.0591322i | −0.421972 | − | 0.906609i | \(-0.638662\pi\) |
0.259508 | + | 0.965741i | \(0.416440\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.36537 | + | 1.98478i | −0.0974634 | + | 0.0817815i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 17.8142 | + | 20.6003i | 0.732778 | + | 0.847381i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 21.7491 | + | 37.6706i | 0.893129 | + | 1.54694i | 0.836103 | + | 0.548572i | \(0.184828\pi\) |
0.0570258 | + | 0.998373i | \(0.481838\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.0474901 | + | 0.178012i | 0.00194690 | + | 0.00729779i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −11.4407 | + | 32.9491i | −0.468237 | + | 1.34852i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.85508 | − | 10.5207i | −0.0757965 | − | 0.429864i | −0.998966 | − | 0.0454696i | \(-0.985522\pi\) |
0.923169 | − | 0.384394i | \(-0.125590\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.03554 | − | 2.56073i | 0.286986 | − | 0.104454i | −0.194516 | − | 0.980899i | \(-0.562314\pi\) |
0.481502 | + | 0.876445i | \(0.340091\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −14.8837 | − | 24.0953i | −0.606109 | − | 0.981237i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.20899 | + | 1.89592i | −0.211775 | + | 0.0770799i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 22.6747 | − | 19.0263i | 0.920338 | − | 0.772256i | −0.0537192 | − | 0.998556i | \(-0.517108\pi\) |
0.974058 | + | 0.226301i | \(0.0726631\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.202658 | + | 1.99885i | 0.00821212 | + | 0.0809975i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.865796 | − | 1.49960i | 0.0350264 | − | 0.0606674i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.8537 | + | 22.2632i | 0.519155 | + | 0.899202i | 0.999752 | + | 0.0222609i | \(0.00708645\pi\) |
−0.480598 | + | 0.876941i | \(0.659580\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.55305 | − | 3.65461i | −0.264244 | − | 0.147368i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 12.4910 | + | 4.54635i | 0.502868 | + | 0.183029i | 0.580983 | − | 0.813915i | \(-0.302668\pi\) |
−0.0781155 | + | 0.996944i | \(0.524890\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.0690 | − | 10.9662i | −0.525288 | − | 0.440769i | 0.341183 | − | 0.939997i | \(-0.389172\pi\) |
−0.866471 | + | 0.499228i | \(0.833617\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 24.5782 | + | 26.7704i | 0.986290 | + | 1.07426i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −2.48894 | − | 3.56284i | −0.0997171 | − | 0.142742i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.98323 | + | 11.2475i | 0.0793294 | + | 0.449899i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.0381595 | + | 2.56660i | 0.00152394 | + | 0.102500i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.175564 | − | 0.304086i | 0.00700020 | − | 0.0121247i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.55606 | − | 13.0875i | −0.300802 | − | 0.521004i | 0.675516 | − | 0.737345i | \(-0.263921\pi\) |
−0.976318 | + | 0.216341i | \(0.930588\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 9.50470 | + | 24.9533i | 0.377778 | + | 0.991806i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −3.64551 | + | 3.05894i | −0.144667 | + | 0.121390i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.01875 | + | 0.539082i | 0.119607 | + | 0.0213592i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.43644 | + | 23.5662i | −0.135943 | + | 0.932266i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5.53943 | + | 31.4157i | −0.218794 | + | 1.24084i | 0.655405 | + | 0.755278i | \(0.272498\pi\) |
−0.874199 | + | 0.485567i | \(0.838613\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.81337 | − | 8.23439i | 0.387002 | − | 0.324733i | −0.428442 | − | 0.903569i | \(-0.640937\pi\) |
0.815444 | + | 0.578836i | \(0.196493\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 14.4758 | − | 2.77496i | 0.569983 | − | 0.109264i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −6.43583 | + | 11.1472i | −0.253019 | + | 0.438241i | −0.964355 | − | 0.264610i | \(-0.914757\pi\) |
0.711337 | + | 0.702851i | \(0.248090\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.1437 | − | 21.0336i | −0.476683 | − | 0.825640i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −12.4340 | + | 18.2888i | −0.487328 | + | 0.716793i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.35391 | + | 2.67660i | 0.287781 | + | 0.104744i | 0.481877 | − | 0.876239i | \(-0.339955\pi\) |
−0.194096 | + | 0.980982i | \(0.562177\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.90291 | + | 10.7919i | −0.0743528 | + | 0.421676i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.47926 | + | 10.1444i | −0.0577116 | + | 0.395772i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 27.7152 | + | 23.2559i | 1.07963 | + | 0.905919i | 0.995890 | − | 0.0905680i | \(-0.0288683\pi\) |
0.0837424 | + | 0.996487i | \(0.473313\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.22697 | − | 3.35834i | −0.358887 | − | 0.130624i | 0.156282 | − | 0.987712i | \(-0.450049\pi\) |
−0.515170 | + | 0.857088i | \(0.672271\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.0530283 | + | 0.00853953i | 0.00205945 | + | 0.000331648i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.429245 | + | 1.60899i | 0.0166454 | + | 0.0623938i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.06633 | −0.118729 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.466523 | − | 31.3783i | −0.0180368 | − | 1.21316i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.76638 | − | 1.00688i | −0.106795 | − | 0.0388702i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.805359 | + | 4.56742i | −0.0310443 | + | 0.176061i | −0.996388 | − | 0.0849225i | \(-0.972936\pi\) |
0.965343 | + | 0.260984i | \(0.0840468\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 20.7758 | + | 2.71477i | 0.799663 | + | 0.104491i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −39.6213 | + | 14.4210i | −1.52277 | + | 0.554243i | −0.961838 | − | 0.273618i | \(-0.911780\pi\) |
−0.560932 | + | 0.827862i | \(0.689557\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.68291 | − | 30.2852i | 0.102961 | − | 1.16224i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.419371 | − | 28.2069i | −0.0160703 | − | 1.08089i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −16.2839 | − | 28.2046i | −0.623087 | − | 1.07922i | −0.988908 | − | 0.148533i | \(-0.952545\pi\) |
0.365821 | − | 0.930685i | \(-0.380788\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.1746 | + | 17.6229i | 0.388751 | + | 0.673336i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.274767 | − | 0.721365i | −0.0104830 | − | 0.0275218i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.86675 | + | 0.679441i | 0.0711175 | + | 0.0258847i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.12694 | − | 34.7476i | 0.233080 | − | 1.32186i | −0.613541 | − | 0.789663i | \(-0.710255\pi\) |
0.846620 | − | 0.532197i | \(-0.178634\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 5.26488 | + | 17.6146i | 0.199996 | + | 0.669122i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 16.1903 | + | 13.5853i | 0.614133 | + | 0.515319i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.0541314 | + | 0.306995i | 0.00205037 | + | 0.0116282i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −26.8962 | − | 31.1027i | −1.01731 | − | 1.17641i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.6825 | 0.441243 | 0.220621 | − | 0.975360i | \(-0.429192\pi\) | ||||
0.220621 | + | 0.975360i | \(0.429192\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.58686 | − | 2.74852i | 0.0598496 | − | 0.103662i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 6.61444 | − | 1.26797i | 0.249114 | − | 0.0477545i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −13.5187 | + | 6.28594i | −0.508424 | + | 0.236407i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 38.1091 | + | 31.9774i | 1.43122 | + | 1.20093i | 0.944988 | + | 0.327104i | \(0.106073\pi\) |
0.486230 | + | 0.873831i | \(0.338372\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.649616 | + | 0.214795i | 0.0243625 | + | 0.00805543i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −25.8561 | − | 21.6959i | −0.968320 | − | 0.812517i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.173328 | − | 0.982992i | −0.00648210 | − | 0.0367618i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −8.65498 | + | 10.6317i | −0.323226 | + | 0.397047i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 19.0285 | − | 32.9583i | 0.709643 | − | 1.22914i | −0.255347 | − | 0.966850i | \(-0.582190\pi\) |
0.964990 | − | 0.262288i | \(-0.0844771\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.25891 | − | 30.9578i | −0.307578 | − | 1.15293i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −2.13678 | + | 1.27640i | −0.0794677 | + | 0.0474697i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.35425 | + | 1.13635i | −0.0502956 | + | 0.0422030i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.75664 | + | 43.9901i | −0.287678 | + | 1.63150i | 0.407883 | + | 0.913034i | \(0.366267\pi\) |
−0.695561 | + | 0.718467i | \(0.744844\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 11.3634 | − | 24.4923i | 0.420866 | − | 0.907123i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.469097 | − | 0.393619i | −0.0173502 | − | 0.0145585i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.55055 | + | 25.8075i | 0.168078 | + | 0.953220i | 0.945833 | + | 0.324653i | \(0.105247\pi\) |
−0.777755 | + | 0.628568i | \(0.783641\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 6.09399 | + | 10.2525i | 0.224780 | + | 0.378171i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 21.8664 | 0.805460 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 32.5923 | 1.19893 | 0.599464 | − | 0.800402i | \(-0.295381\pi\) | ||||
0.599464 | + | 0.800402i | \(0.295381\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.479303 | + | 0.0771856i | 0.0176077 | + | 0.00283549i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −6.00324 | − | 34.0461i | −0.220237 | − | 1.24903i | −0.871583 | − | 0.490248i | \(-0.836906\pi\) |
0.651346 | − | 0.758781i | \(-0.274205\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.857365 | − | 0.312055i | 0.0314114 | − | 0.0114328i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −17.0746 | + | 15.2148i | −0.624727 | + | 0.556682i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 12.9058 | − | 27.5978i | 0.471566 | − | 1.00840i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 32.2590 | + | 11.7413i | 1.17715 | + | 0.428447i | 0.855194 | − | 0.518308i | \(-0.173438\pi\) |
0.321955 | + | 0.946755i | \(0.395660\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −20.3106 | − | 23.4871i | −0.740161 | − | 0.855919i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2.89771 | −0.105458 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.6867 | 0.388415 | 0.194208 | − | 0.980960i | \(-0.437786\pi\) | ||||
0.194208 | + | 0.980960i | \(0.437786\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −27.5572 | + | 5.28263i | −1.00026 | + | 0.191747i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 18.6670 | + | 6.79422i | 0.676677 | + | 0.246290i | 0.657420 | − | 0.753524i | \(-0.271648\pi\) |
0.0192571 | + | 0.999815i | \(0.493870\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 22.4837 | − | 1.94235i | 0.813966 | − | 0.0703179i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.109785 | + | 0.177733i | 0.00396930 | + | 0.00642595i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −4.31650 | + | 1.57108i | −0.155860 | + | 0.0567283i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.05123 | + | 11.6331i | 0.0739694 | + | 0.419501i | 0.999196 | + | 0.0400869i | \(0.0127635\pi\) |
−0.925227 | + | 0.379415i | \(0.876125\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 14.2609 | + | 37.4400i | 0.513593 | + | 1.34837i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 29.1843 | 1.04969 | 0.524844 | − | 0.851199i | \(-0.324124\pi\) | ||||
0.524844 | + | 0.851199i | \(0.324124\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −19.4597 | −0.699012 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 5.58016 | − | 22.0352i | 0.200187 | − | 0.790510i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.489274 | + | 2.77481i | 0.0175301 | + | 0.0994179i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −14.0856 | − | 11.8192i | −0.504022 | − | 0.422925i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.873826 | + | 2.10385i | 0.0312280 | + | 0.0751855i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −0.700133 | + | 3.97065i | −0.0249888 | + | 0.141719i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −10.7783 | + | 9.04406i | −0.384205 | + | 0.322386i | −0.814350 | − | 0.580373i | \(-0.802907\pi\) |
0.430146 | + | 0.902759i | \(0.358462\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 23.7263 | + | 13.2321i | 0.844680 | + | 0.471074i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −40.4065 | − | 10.8742i | −1.43669 | − | 0.386641i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.278394 | + | 0.482192i | −0.00988605 | + | 0.0171231i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2.75027 | + | 7.22047i | 0.0975421 | + | 0.256084i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 3.34584 | + | 18.9752i | 0.118516 | + | 0.672137i | 0.984949 | + | 0.172844i | \(0.0552957\pi\) |
−0.866433 | + | 0.499293i | \(0.833593\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.214345 | − | 0.179857i | −0.00758300 | − | 0.00636289i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.86758 | − | 3.05404i | −0.136654 | − | 0.107909i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −6.06334 | − | 5.08775i | −0.213971 | − | 0.179543i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −16.5060 | + | 7.67497i | −0.581761 | + | 0.270507i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 22.5344 | + | 26.0587i | 0.793248 | + | 0.917309i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −4.36780 | + | 7.56525i | −0.153564 | + | 0.265980i | −0.932535 | − | 0.361079i | \(-0.882408\pi\) |
0.778971 | + | 0.627059i | \(0.215742\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.30542 | 0.186298 | 0.0931492 | − | 0.995652i | \(-0.470307\pi\) | ||||
0.0931492 | + | 0.995652i | \(0.470307\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 4.63196 | − | 0.887933i | 0.162450 | − | 0.0311412i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.42469 | + | 8.07981i | 0.0499047 | + | 0.283023i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.23999 | − | 3.55778i | −0.148339 | − | 0.124471i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 3.45376 | − | 0.402123i | 0.120684 | − | 0.0140513i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.270945 | + | 1.53661i | −0.00945605 | + | 0.0536279i | −0.989171 | − | 0.146770i | \(-0.953112\pi\) |
0.979715 | + | 0.200398i | \(0.0642234\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −30.6784 | − | 11.1660i | −1.06938 | − | 0.389224i | −0.253437 | − | 0.967352i | \(-0.581561\pi\) |
−0.815946 | + | 0.578128i | \(0.803783\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −10.2130 | + | 12.5455i | −0.355570 | + | 0.436777i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 9.60466 | + | 16.6358i | 0.333987 | + | 0.578482i | 0.983290 | − | 0.182048i | \(-0.0582726\pi\) |
−0.649303 | + | 0.760530i | \(0.724939\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.3738 | + | 28.3603i | 0.568686 | + | 0.984993i | 0.996696 | + | 0.0812190i | \(0.0258813\pi\) |
−0.428010 | + | 0.903774i | \(0.640785\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 6.14547 | + | 3.42730i | 0.213184 | + | 0.118892i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.170493 | − | 0.465263i | 0.00590722 | − | 0.0161204i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 17.4341 | − | 6.34548i | 0.603330 | − | 0.219594i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −7.51748 | + | 23.9230i | −0.259842 | + | 0.826900i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 5.17751 | − | 29.3631i | 0.178748 | − | 1.01373i | −0.754981 | − | 0.655747i | \(-0.772354\pi\) |
0.933729 | − | 0.357982i | \(-0.116535\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.0705 | + | 9.85284i | 0.933464 | + | 0.339753i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 21.7825 | − | 13.0117i | 0.750229 | − | 0.448146i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 12.5995 | 0.433437 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 14.3967 | + | 3.87443i | 0.494677 | + | 0.133127i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 31.3066 | − | 38.4566i | 1.07444 | − | 1.31983i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 32.6001 | + | 11.8655i | 1.11752 | + | 0.406743i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −13.4587 | − | 11.2932i | −0.460818 | − | 0.386672i | 0.382614 | − | 0.923908i | \(-0.375024\pi\) |
−0.843432 | + | 0.537236i | \(0.819468\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.992310 | + | 1.60646i | 0.0339363 | + | 0.0549398i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 7.18190 | − | 40.7306i | 0.245329 | − | 1.39133i | −0.574398 | − | 0.818576i | \(-0.694764\pi\) |
0.819727 | − | 0.572754i | \(-0.194125\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.37585 | − | 1.59268i | −0.149302 | − | 0.0543415i | 0.266288 | − | 0.963893i | \(-0.414203\pi\) |
−0.415590 | + | 0.909552i | \(0.636425\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 8.77971 | + | 18.1704i | 0.299212 | + | 0.619245i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 17.7776 | + | 30.7917i | 0.605157 | + | 1.04816i | 0.992027 | + | 0.126028i | \(0.0402230\pi\) |
−0.386870 | + | 0.922134i | \(0.626444\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.07998 | − | 7.06672i | 0.138723 | − | 0.240276i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −9.65545 | + | 27.8076i | −0.327916 | + | 0.944395i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −0.404671 | + | 0.339559i | −0.0137275 | + | 0.0115188i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.718144 | − | 4.07279i | 0.0243334 | − | 0.138001i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −6.99314 | − | 33.7579i | −0.236682 | − | 1.14253i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −9.95818 | + | 21.2947i | −0.336648 | + | 0.719892i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −32.3016 | + | 27.1043i | −1.09075 | + | 0.915246i | −0.996768 | − | 0.0803282i | \(-0.974403\pi\) |
−0.0939792 | + | 0.995574i | \(0.529959\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 5.89201 | − | 7.23767i | 0.198733 | − | 0.244121i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −16.6310 | − | 28.8057i | −0.560312 | − | 0.970489i | −0.997469 | − | 0.0711039i | \(-0.977348\pi\) |
0.437157 | − | 0.899385i | \(-0.355986\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.3693 | − | 21.4242i | 0.416259 | − | 0.720981i | −0.579301 | − | 0.815114i | \(-0.696674\pi\) |
0.995560 | + | 0.0941324i | \(0.0300077\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −15.6036 | − | 8.70205i | −0.524509 | − | 0.292516i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 4.66231 | + | 26.4412i | 0.156545 | + | 0.887810i | 0.957360 | + | 0.288898i | \(0.0932890\pi\) |
−0.800815 | + | 0.598912i | \(0.795600\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 12.7517 | − | 1.10161i | 0.427679 | − | 0.0369469i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 11.4776 | + | 17.4019i | 0.384513 | + | 0.582986i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −1.93739 | − | 1.62566i | −0.0648323 | − | 0.0544007i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.69583 | + | 0.617230i | 0.0566852 | + | 0.0206317i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.0788914 | + | 5.30623i | 0.00263411 | + | 0.177170i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.05790 | − | 1.83233i | −0.0352829 | − | 0.0611117i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.160504 | − | 0.278001i | 0.00534715 | − | 0.00926154i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −36.1554 | − | 16.2570i | −1.20318 | − | 0.541000i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 8.38970 | − | 7.03979i | 0.278883 | − | 0.234011i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −41.8685 | + | 15.2389i | −1.39022 | + | 0.505999i | −0.925260 | − | 0.379333i | \(-0.876153\pi\) |
−0.464960 | + | 0.885332i | \(0.653931\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −12.6211 | + | 11.2464i | −0.418616 | + | 0.373020i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −26.0255 | + | 9.47251i | −0.862263 | + | 0.313838i | −0.735030 | − | 0.678035i | \(-0.762832\pi\) |
−0.127233 | + | 0.991873i | \(0.540610\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.06617 | − | 17.3891i | −0.101476 | − | 0.575496i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −2.12685 | + | 0.407711i | −0.0703115 | + | 0.0134785i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 20.8634 | − | 20.8179i | 0.688971 | − | 0.687469i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 24.2124 | + | 41.9372i | 0.798695 | + | 1.38338i | 0.920466 | + | 0.390822i | \(0.127809\pi\) |
−0.121772 | + | 0.992558i | \(0.538858\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 19.0970 | − | 3.66084i | 0.629267 | − | 0.120629i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −2.66402 | + | 2.23538i | −0.0876874 | + | 0.0735785i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 18.7951 | − | 6.84085i | 0.617979 | − | 0.224926i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −19.0926 | − | 30.9092i | −0.627083 | − | 1.01519i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 3.90527 | − | 22.1479i | 0.128128 | − | 0.726648i | −0.851273 | − | 0.524723i | \(-0.824169\pi\) |
0.979401 | − | 0.201926i | \(-0.0647199\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.54102 | − | 4.20534i | 0.0505049 | − | 0.137824i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −13.9791 | + | 17.1718i | −0.457657 | + | 0.562179i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.161292 | −0.00527482 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −17.0154 | + | 29.4715i | −0.555868 | + | 0.962791i | 0.441968 | + | 0.897031i | \(0.354281\pi\) |
−0.997835 | + | 0.0657601i | \(0.979053\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −26.0133 | − | 14.5075i | −0.848912 | − | 0.473434i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −33.2276 | + | 27.8813i | −1.08319 | + | 0.908903i | −0.996182 | − | 0.0873045i | \(-0.972175\pi\) |
−0.0870069 | + | 0.996208i | \(0.527730\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −28.9422 | + | 10.5341i | −0.942489 | + | 0.343038i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 9.96969 | + | 9.13782i | 0.324314 | + | 0.297253i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 7.30894 | − | 2.66024i | 0.237509 | − | 0.0864460i | −0.220524 | − | 0.975382i | \(-0.570777\pi\) |
0.458032 | + | 0.888936i | \(0.348554\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.14677 | + | 0.962252i | −0.0372256 | + | 0.0312360i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −38.9338 | + | 23.2569i | −1.26251 | + | 0.754157i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 10.5593 | − | 18.2892i | 0.342049 | − | 0.592447i | −0.642764 | − | 0.766064i | \(-0.722212\pi\) |
0.984813 | + | 0.173618i | \(0.0555457\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.591539 | −0.0191418 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −1.73650 | − | 0.279641i | −0.0561332 | − | 0.00903953i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 4.82953 | − | 54.5166i | 0.155954 | − | 1.76043i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.33888 | + | 7.59316i | −0.0431897 | + | 0.244941i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.98474 | − | 34.1841i | 0.160631 | − | 1.10157i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −19.6141 | + | 7.13894i | −0.631399 | + | 0.229810i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −46.1741 | + | 38.7447i | −1.48486 | + | 1.24594i | −0.584059 | + | 0.811711i | \(0.698536\pi\) |
−0.900800 | + | 0.434234i | \(0.857019\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.0257321 | − | 0.0741082i | 0.000826635 | − | 0.00238070i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.65835 | + | 13.2647i | 0.245768 | + | 0.425683i | 0.962347 | − | 0.271823i | \(-0.0876264\pi\) |
−0.716579 | + | 0.697506i | \(0.754293\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −14.6523 | − | 54.9226i | −0.469730 | − | 1.76074i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 2.00128 | + | 2.31427i | 0.0640922 | + | 0.0741159i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 3.76272 | + | 21.3395i | 0.120380 | + | 0.682710i | 0.983945 | + | 0.178472i | \(0.0571154\pi\) |
−0.863565 | + | 0.504238i | \(0.831773\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.57536 | − | 1.30132i | 0.114269 | − | 0.0415905i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 23.7751 | − | 9.46298i | 0.759080 | − | 0.302130i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −4.59558 | + | 1.67265i | −0.146576 | + | 0.0533494i | −0.414266 | − | 0.910156i | \(-0.635962\pi\) |
0.267690 | + | 0.963505i | \(0.413740\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −11.8490 | + | 9.94249i | −0.377541 | + | 0.316794i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −16.5206 | − | 7.42835i | −0.525855 | − | 0.236447i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 30.2514 | − | 52.3970i | 0.961939 | − | 1.66613i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.78837 | + | 10.0258i | 0.183874 | + | 0.318479i | 0.943196 | − | 0.332236i | \(-0.107803\pi\) |
−0.759323 | + | 0.650714i | \(0.774470\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −35.7273 | + | 21.3415i | −1.13377 | + | 0.677253i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −18.6147 | − | 6.77521i | −0.590127 | − | 0.214789i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 38.9099 | + | 32.6493i | 1.23229 | + | 1.03401i | 0.998087 | + | 0.0618253i | \(0.0196921\pi\) |
0.234202 | + | 0.972188i | \(0.424752\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.14915 | − | 25.7487i | −0.0363574 | − | 0.814652i |
(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 | 756.2.bq.a.25.15 | yes | 144 | |
7.2 | even | 3 | 756.2.bp.a.457.18 | yes | 144 | ||
27.13 | even | 9 | 756.2.bp.a.445.18 | ✓ | 144 | ||
189.121 | even | 9 | inner | 756.2.bq.a.121.15 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bp.a.445.18 | ✓ | 144 | 27.13 | even | 9 | ||
756.2.bp.a.457.18 | yes | 144 | 7.2 | even | 3 | ||
756.2.bq.a.25.15 | yes | 144 | 1.1 | even | 1 | trivial | |
756.2.bq.a.121.15 | yes | 144 | 189.121 | even | 9 | inner |