Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(17,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.f (of order \(18\), degree \(6\), not 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: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 54) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 17.1 | ||
Character | \(\chi\) | \(=\) | 162.17 |
Dual form | 162.3.f.a.143.1 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.483690 | + | 1.32893i | −0.241845 | + | 0.664463i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.53209 | − | 1.28558i | −0.383022 | − | 0.321394i | ||||
\(5\) | −5.90332 | − | 1.04091i | −1.18066 | − | 0.208183i | −0.451341 | − | 0.892352i | \(-0.649054\pi\) |
−0.729324 | + | 0.684169i | \(0.760165\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 5.59840 | − | 4.69762i | 0.799772 | − | 0.671088i | −0.148371 | − | 0.988932i | \(-0.547403\pi\) |
0.948143 | + | 0.317844i | \(0.102959\pi\) | |||||||
\(8\) | 2.44949 | − | 1.41421i | 0.306186 | − | 0.176777i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 4.23867 | − | 7.34160i | 0.423867 | − | 0.734160i | ||||
\(11\) | 20.3832 | − | 3.59412i | 1.85302 | − | 0.326738i | 0.867653 | − | 0.497170i | \(-0.165628\pi\) |
0.985369 | + | 0.170433i | \(0.0545165\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.40830 | − | 2.33243i | 0.492946 | − | 0.179418i | −0.0835725 | − | 0.996502i | \(-0.526633\pi\) |
0.576519 | + | 0.817084i | \(0.304411\pi\) | |||||||
\(14\) | 3.53490 | + | 9.71205i | 0.252493 | + | 0.693718i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.694593 | + | 3.93923i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −1.96510 | − | 1.13455i | −0.115594 | − | 0.0667382i | 0.441088 | − | 0.897464i | \(-0.354593\pi\) |
−0.556682 | + | 0.830725i | \(0.687926\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −12.1634 | − | 21.0675i | −0.640176 | − | 1.10882i | −0.985393 | − | 0.170295i | \(-0.945528\pi\) |
0.345217 | − | 0.938523i | \(-0.387805\pi\) | |||||||
\(20\) | 7.70624 | + | 9.18394i | 0.385312 | + | 0.459197i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.08285 | + | 28.8263i | −0.231039 | + | 1.31028i | ||||
\(23\) | 15.5320 | − | 18.5103i | 0.675303 | − | 0.804795i | −0.314192 | − | 0.949359i | \(-0.601734\pi\) |
0.989495 | + | 0.144564i | \(0.0461781\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 10.2734 | + | 3.73921i | 0.410935 | + | 0.149568i | ||||
\(26\) | 9.64433i | 0.370936i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −14.6164 | −0.522014 | ||||||||
\(29\) | −6.32777 | + | 17.3854i | −0.218199 | + | 0.599497i | −0.999702 | − | 0.0244045i | \(-0.992231\pi\) |
0.781503 | + | 0.623901i | \(0.214453\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 16.6469 | + | 13.9684i | 0.536998 | + | 0.450595i | 0.870510 | − | 0.492151i | \(-0.163789\pi\) |
−0.333512 | + | 0.942746i | \(0.608234\pi\) | |||||||
\(32\) | −5.57091 | − | 0.982302i | −0.174091 | − | 0.0306970i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.45823 | − | 2.06270i | 0.0723009 | − | 0.0606677i | ||||
\(35\) | −37.9390 | + | 21.9041i | −1.08397 | + | 0.625831i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 22.3832 | − | 38.7688i | 0.604951 | − | 1.04781i | −0.387109 | − | 0.922034i | \(-0.626526\pi\) |
0.992059 | − | 0.125771i | \(-0.0401405\pi\) | |||||||
\(38\) | 33.8805 | − | 5.97405i | 0.891592 | − | 0.157212i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −15.9322 | + | 5.79885i | −0.398305 | + | 0.144971i | ||||
\(41\) | −17.5398 | − | 48.1902i | −0.427800 | − | 1.17537i | −0.947145 | − | 0.320806i | \(-0.896046\pi\) |
0.519345 | − | 0.854565i | \(-0.326176\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.41470 | + | 36.3796i | 0.149179 | + | 0.846036i | 0.963916 | + | 0.266206i | \(0.0857701\pi\) |
−0.814737 | + | 0.579830i | \(0.803119\pi\) | |||||||
\(44\) | −35.8494 | − | 20.6977i | −0.814760 | − | 0.470402i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 17.0861 | + | 29.5941i | 0.371438 | + | 0.643350i | ||||
\(47\) | −8.15595 | − | 9.71989i | −0.173531 | − | 0.206806i | 0.672268 | − | 0.740308i | \(-0.265320\pi\) |
−0.845799 | + | 0.533502i | \(0.820876\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.765740 | − | 4.34273i | 0.0156273 | − | 0.0886271i | ||||
\(50\) | −9.93826 | + | 11.8440i | −0.198765 | + | 0.236879i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −12.8166 | − | 4.66486i | −0.246473 | − | 0.0897089i | ||||
\(53\) | 17.7730i | 0.335339i | 0.985843 | + | 0.167670i | \(0.0536242\pi\) | ||||
−0.985843 | + | 0.167670i | \(0.946376\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −124.070 | −2.25582 | ||||||||
\(56\) | 7.06980 | − | 19.4241i | 0.126246 | − | 0.346859i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −20.0432 | − | 16.8183i | −0.345573 | − | 0.289970i | ||||
\(59\) | −64.9049 | − | 11.4445i | −1.10008 | − | 0.193974i | −0.406003 | − | 0.913872i | \(-0.633078\pi\) |
−0.694080 | + | 0.719897i | \(0.744189\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 32.3438 | − | 27.1396i | 0.530226 | − | 0.444912i | −0.337954 | − | 0.941163i | \(-0.609735\pi\) |
0.868179 | + | 0.496251i | \(0.165290\pi\) | |||||||
\(62\) | −26.6150 | + | 15.3662i | −0.429274 | + | 0.247841i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | − | 6.92820i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −40.2581 | + | 7.09859i | −0.619356 | + | 0.109209i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −111.190 | + | 40.4700i | −1.65956 | + | 0.604030i | −0.990293 | − | 0.138993i | \(-0.955613\pi\) |
−0.669266 | + | 0.743023i | \(0.733391\pi\) | |||||||
\(68\) | 1.55216 | + | 4.26451i | 0.0228258 | + | 0.0627134i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −10.7582 | − | 61.0129i | −0.153689 | − | 0.871613i | ||||
\(71\) | 46.1702 | + | 26.6564i | 0.650284 | + | 0.375442i | 0.788565 | − | 0.614951i | \(-0.210824\pi\) |
−0.138281 | + | 0.990393i | \(0.544158\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 33.8569 | + | 58.6419i | 0.463793 | + | 0.803314i | 0.999146 | − | 0.0413148i | \(-0.0131546\pi\) |
−0.535353 | + | 0.844629i | \(0.679821\pi\) | |||||||
\(74\) | 40.6944 | + | 48.4976i | 0.549924 | + | 0.655374i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −8.44858 | + | 47.9143i | −0.111165 | + | 0.630451i | ||||
\(77\) | 97.2298 | − | 115.874i | 1.26273 | − | 1.50486i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 104.610 | + | 38.0750i | 1.32418 | + | 0.481962i | 0.904795 | − | 0.425846i | \(-0.140024\pi\) |
0.419385 | + | 0.907809i | \(0.362246\pi\) | |||||||
\(80\) | − | 23.9776i | − | 0.299719i | ||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 72.5250 | 0.884452 | ||||||||
\(83\) | −8.63542 | + | 23.7256i | −0.104041 | + | 0.285851i | −0.980780 | − | 0.195115i | \(-0.937492\pi\) |
0.876739 | + | 0.480966i | \(0.159714\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 10.4196 | + | 8.74311i | 0.122584 | + | 0.102860i | ||||
\(86\) | −51.4485 | − | 9.07175i | −0.598238 | − | 0.105486i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 44.8457 | − | 37.6300i | 0.509610 | − | 0.427614i | ||||
\(89\) | 35.4447 | − | 20.4640i | 0.398254 | − | 0.229932i | −0.287476 | − | 0.957788i | \(-0.592816\pi\) |
0.685731 | + | 0.727855i | \(0.259483\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 24.9194 | − | 43.1616i | 0.273839 | − | 0.474304i | ||||
\(92\) | −47.5927 | + | 8.39188i | −0.517312 | + | 0.0912161i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 16.8620 | − | 6.13725i | 0.179383 | − | 0.0652899i | ||||
\(95\) | 49.8747 | + | 137.030i | 0.524996 | + | 1.44242i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.02010 | + | 39.8130i | 0.0723722 | + | 0.410443i | 0.999374 | + | 0.0353855i | \(0.0112659\pi\) |
−0.927002 | + | 0.375057i | \(0.877623\pi\) | |||||||
\(98\) | 5.40078 | + | 3.11814i | 0.0551100 | + | 0.0318178i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −10.9327 | − | 18.9360i | −0.109327 | − | 0.189360i | ||||
\(101\) | −7.45688 | − | 8.88677i | −0.0738305 | − | 0.0879878i | 0.727865 | − | 0.685721i | \(-0.240513\pi\) |
−0.801695 | + | 0.597733i | \(0.796068\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 21.6451 | − | 122.756i | 0.210147 | − | 1.19180i | −0.678985 | − | 0.734152i | \(-0.737580\pi\) |
0.889132 | − | 0.457650i | \(-0.151309\pi\) | |||||||
\(104\) | 12.3985 | − | 14.7760i | 0.119216 | − | 0.142077i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −23.6190 | − | 8.59660i | −0.222820 | − | 0.0811000i | ||||
\(107\) | 142.548i | 1.33223i | 0.745850 | + | 0.666113i | \(0.232043\pi\) | ||||
−0.745850 | + | 0.666113i | \(0.767957\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −119.276 | −1.09427 | −0.547137 | − | 0.837043i | \(-0.684282\pi\) | ||||
−0.547137 | + | 0.837043i | \(0.684282\pi\) | |||||||
\(110\) | 60.0114 | − | 164.880i | 0.545558 | − | 1.49891i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 22.3936 | + | 18.7905i | 0.199943 | + | 0.167772i | ||||
\(113\) | 102.092 | + | 18.0016i | 0.903471 | + | 0.159306i | 0.606037 | − | 0.795436i | \(-0.292758\pi\) |
0.297434 | + | 0.954743i | \(0.403869\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −110.958 | + | 93.1047i | −0.964851 | + | 0.809606i | ||||
\(116\) | 32.0450 | − | 18.5012i | 0.276250 | − | 0.159493i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 46.6027 | − | 80.7183i | 0.394938 | − | 0.684053i | ||||
\(119\) | −16.3311 | + | 2.87961i | −0.137236 | + | 0.0241984i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 288.856 | − | 105.135i | 2.38724 | − | 0.868885i | ||||
\(122\) | 20.4222 | + | 56.1096i | 0.167395 | + | 0.459915i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.54711 | − | 42.8018i | −0.0608638 | − | 0.345176i | ||||
\(125\) | 73.0275 | + | 42.1624i | 0.584220 | + | 0.337299i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 109.770 | + | 190.127i | 0.864329 | + | 1.49706i | 0.867712 | + | 0.497067i | \(0.165590\pi\) |
−0.00338367 | + | 0.999994i | \(0.501077\pi\) | |||||||
\(128\) | 7.27231 | + | 8.66680i | 0.0568149 | + | 0.0677094i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 10.0389 | − | 56.9336i | 0.0772225 | − | 0.437951i | ||||
\(131\) | −83.9745 | + | 100.077i | −0.641027 | + | 0.763946i | −0.984532 | − | 0.175205i | \(-0.943941\pi\) |
0.343505 | + | 0.939151i | \(0.388386\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −167.063 | − | 60.8058i | −1.25611 | − | 0.457187i | ||||
\(134\) | − | 167.339i | − | 1.24880i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.41798 | −0.0471911 | ||||||||
\(137\) | −26.4097 | + | 72.5602i | −0.192772 | + | 0.529636i | −0.997992 | − | 0.0633396i | \(-0.979825\pi\) |
0.805220 | + | 0.592976i | \(0.202047\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −81.8517 | − | 68.6818i | −0.588861 | − | 0.494113i | 0.298982 | − | 0.954259i | \(-0.403353\pi\) |
−0.887844 | + | 0.460145i | \(0.847797\pi\) | |||||||
\(140\) | 86.2852 | + | 15.2144i | 0.616323 | + | 0.108674i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −57.7564 | + | 48.4633i | −0.406735 | + | 0.341291i | ||||
\(143\) | 122.239 | − | 70.5747i | 0.854818 | − | 0.493529i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 55.4516 | − | 96.0450i | 0.382425 | − | 0.662379i | ||||
\(146\) | −94.3070 | + | 16.6289i | −0.645938 | + | 0.113896i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −84.1332 | + | 30.6220i | −0.568468 | + | 0.206905i | ||||
\(149\) | −53.0524 | − | 145.760i | −0.356056 | − | 0.978257i | −0.980384 | − | 0.197095i | \(-0.936849\pi\) |
0.624328 | − | 0.781162i | \(-0.285373\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −26.9250 | − | 152.699i | −0.178311 | − | 1.01125i | −0.934252 | − | 0.356614i | \(-0.883931\pi\) |
0.755940 | − | 0.654641i | \(-0.227180\pi\) | |||||||
\(152\) | −59.5880 | − | 34.4032i | −0.392026 | − | 0.226337i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 106.959 | + | 185.258i | 0.694538 | + | 1.20298i | ||||
\(155\) | −83.7323 | − | 99.7883i | −0.540208 | − | 0.643795i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −21.0948 | + | 119.634i | −0.134362 | + | 0.762003i | 0.840941 | + | 0.541128i | \(0.182002\pi\) |
−0.975302 | + | 0.220875i | \(0.929109\pi\) | |||||||
\(158\) | −101.198 | + | 120.603i | −0.640492 | + | 0.763309i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 31.8644 | + | 11.5977i | 0.199153 | + | 0.0724856i | ||||
\(161\) | − | 176.591i | − | 1.09684i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −66.9033 | −0.410450 | −0.205225 | − | 0.978715i | \(-0.565793\pi\) | ||||
−0.205225 | + | 0.978715i | \(0.565793\pi\) | |||||||
\(164\) | −35.0796 | + | 96.3804i | −0.213900 | + | 0.587685i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −27.3527 | − | 22.9517i | −0.164776 | − | 0.138263i | ||||
\(167\) | 7.14238 | + | 1.25939i | 0.0427687 | + | 0.00754128i | 0.194992 | − | 0.980805i | \(-0.437532\pi\) |
−0.152223 | + | 0.988346i | \(0.548643\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −93.8354 | + | 78.7373i | −0.555239 | + | 0.465901i | ||||
\(170\) | −16.6588 | + | 9.61798i | −0.0979931 | + | 0.0565763i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 36.9408 | − | 63.9833i | 0.214772 | − | 0.371996i | ||||
\(173\) | 71.4004 | − | 12.5898i | 0.412719 | − | 0.0727735i | 0.0365665 | − | 0.999331i | \(-0.488358\pi\) |
0.376153 | + | 0.926558i | \(0.377247\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 75.0799 | − | 27.3268i | 0.429028 | − | 0.156153i | ||||
\(176\) | 28.3161 | + | 77.7979i | 0.160887 | + | 0.442033i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.0509 | + | 57.0015i | 0.0564658 | + | 0.320233i | ||||
\(179\) | −219.366 | − | 126.651i | −1.22551 | − | 0.707547i | −0.259420 | − | 0.965765i | \(-0.583531\pi\) |
−0.966087 | + | 0.258218i | \(0.916865\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 19.4150 | + | 33.6278i | 0.107265 | + | 0.185789i | 0.914662 | − | 0.404221i | \(-0.132457\pi\) |
−0.807396 | + | 0.590010i | \(0.799124\pi\) | |||||||
\(182\) | 45.3054 | + | 53.9928i | 0.248931 | + | 0.296664i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 11.8679 | − | 67.3063i | 0.0644995 | − | 0.365795i | ||||
\(185\) | −172.490 | + | 205.566i | −0.932379 | + | 1.11117i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −44.1328 | − | 16.0630i | −0.236004 | − | 0.0858985i | ||||
\(188\) | 25.3768i | 0.134983i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −206.226 | −1.08540 | ||||||||
\(191\) | −67.8767 | + | 186.490i | −0.355375 | + | 0.976385i | 0.625238 | + | 0.780434i | \(0.285002\pi\) |
−0.980614 | + | 0.195951i | \(0.937220\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 43.6611 | + | 36.6360i | 0.226223 | + | 0.189824i | 0.748853 | − | 0.662736i | \(-0.230605\pi\) |
−0.522630 | + | 0.852560i | \(0.675049\pi\) | |||||||
\(194\) | −56.3040 | − | 9.92792i | −0.290227 | − | 0.0511748i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.75608 | + | 5.66903i | −0.0344698 | + | 0.0289236i | ||||
\(197\) | 64.8251 | − | 37.4268i | 0.329061 | − | 0.189984i | −0.326363 | − | 0.945245i | \(-0.605823\pi\) |
0.655424 | + | 0.755261i | \(0.272490\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −65.2158 | + | 112.957i | −0.327717 | + | 0.567623i | −0.982059 | − | 0.188576i | \(-0.939613\pi\) |
0.654341 | + | 0.756200i | \(0.272946\pi\) | |||||||
\(200\) | 30.4526 | − | 5.36961i | 0.152263 | − | 0.0268481i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 15.4167 | − | 5.61121i | 0.0763201 | − | 0.0277783i | ||||
\(203\) | 46.2446 | + | 127.056i | 0.227806 | + | 0.625891i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 53.3812 | + | 302.740i | 0.260396 | + | 1.47678i | ||||
\(206\) | 152.664 | + | 88.1404i | 0.741085 | + | 0.427866i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 13.6391 | + | 23.6237i | 0.0655728 | + | 0.113575i | ||||
\(209\) | −323.648 | − | 385.708i | −1.54855 | − | 1.84549i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.49032 | − | 31.1372i | 0.0260205 | − | 0.147570i | −0.969030 | − | 0.246945i | \(-0.920573\pi\) |
0.995050 | + | 0.0993753i | \(0.0316844\pi\) | |||||||
\(212\) | 22.8485 | − | 27.2298i | 0.107776 | − | 0.128442i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −189.436 | − | 68.9491i | −0.885215 | − | 0.322192i | ||||
\(215\) | − | 221.437i | − | 1.02994i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 158.815 | 0.731865 | ||||||||
\(218\) | 57.6925 | − | 158.509i | 0.264644 | − | 0.727105i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 190.086 | + | 159.501i | 0.864029 | + | 0.725006i | ||||
\(221\) | −15.2392 | − | 2.68708i | −0.0689557 | − | 0.0121587i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 78.1769 | − | 65.5982i | 0.350569 | − | 0.294162i | −0.450449 | − | 0.892802i | \(-0.648736\pi\) |
0.801019 | + | 0.598639i | \(0.204292\pi\) | |||||||
\(224\) | −35.8027 | + | 20.6707i | −0.159833 | + | 0.0922799i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −73.3037 | + | 126.966i | −0.324353 | + | 0.561796i | ||||
\(227\) | 253.309 | − | 44.6652i | 1.11590 | − | 0.196763i | 0.414859 | − | 0.909886i | \(-0.363831\pi\) |
0.701039 | + | 0.713123i | \(0.252720\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −258.391 | + | 94.0468i | −1.12835 | + | 0.410685i | −0.837692 | − | 0.546143i | \(-0.816095\pi\) |
−0.290655 | + | 0.956828i | \(0.593873\pi\) | |||||||
\(230\) | −70.0601 | − | 192.489i | −0.304609 | − | 0.836907i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.08687 | + | 51.5342i | 0.0391675 | + | 0.222130i | ||||
\(233\) | 223.311 | + | 128.928i | 0.958414 | + | 0.553341i | 0.895685 | − | 0.444690i | \(-0.146686\pi\) |
0.0627296 | + | 0.998031i | \(0.480019\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 38.0296 | + | 65.8693i | 0.161828 | + | 0.280295i | ||||
\(236\) | 84.7273 | + | 100.974i | 0.359014 | + | 0.427856i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.07239 | − | 23.0957i | 0.0171109 | − | 0.0970406i | ||||
\(239\) | 80.0566 | − | 95.4078i | 0.334965 | − | 0.399196i | −0.572102 | − | 0.820183i | \(-0.693872\pi\) |
0.907067 | + | 0.420987i | \(0.138316\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −61.5004 | − | 22.3843i | −0.255188 | − | 0.0928809i | 0.211258 | − | 0.977430i | \(-0.432244\pi\) |
−0.466447 | + | 0.884549i | \(0.654466\pi\) | |||||||
\(242\) | 434.721i | 1.79637i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −84.4436 | −0.346080 | ||||||||
\(245\) | −9.04081 | + | 24.8394i | −0.0369013 | + | 0.101385i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −127.085 | − | 106.637i | −0.514514 | − | 0.431729i | ||||
\(248\) | 60.5309 | + | 10.6732i | 0.244076 | + | 0.0430372i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −91.3534 | + | 76.6546i | −0.365413 | + | 0.306618i | ||||
\(251\) | −202.528 | + | 116.930i | −0.806884 | + | 0.465855i | −0.845873 | − | 0.533385i | \(-0.820920\pi\) |
0.0389884 | + | 0.999240i | \(0.487586\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 250.064 | − | 433.123i | 0.988395 | − | 1.71195i | ||||
\(254\) | −305.759 | + | 53.9135i | −1.20378 | + | 0.212258i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.0351 | + | 5.47232i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −25.7075 | − | 70.6309i | −0.100029 | − | 0.274828i | 0.879576 | − | 0.475758i | \(-0.157826\pi\) |
−0.979606 | + | 0.200929i | \(0.935604\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −56.8110 | − | 322.191i | −0.219347 | − | 1.24398i | ||||
\(260\) | 70.8048 | + | 40.8792i | 0.272326 | + | 0.157228i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −92.3773 | − | 160.002i | −0.352585 | − | 0.610695i | ||||
\(263\) | 97.3609 | + | 116.030i | 0.370194 | + | 0.441180i | 0.918694 | − | 0.394971i | \(-0.129245\pi\) |
−0.548500 | + | 0.836151i | \(0.684801\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 18.5001 | − | 104.920i | 0.0698119 | − | 0.395923i | ||||
\(266\) | 161.613 | − | 192.603i | 0.607567 | − | 0.724070i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 222.381 | + | 80.9400i | 0.829780 | + | 0.302015i | ||||
\(269\) | 170.868i | 0.635198i | 0.948225 | + | 0.317599i | \(0.102877\pi\) | ||||
−0.948225 | + | 0.317599i | \(0.897123\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.46530 | −0.0312373 | −0.0156186 | − | 0.999878i | \(-0.504972\pi\) | ||||
−0.0156186 | + | 0.999878i | \(0.504972\pi\) | |||||||
\(272\) | 3.10431 | − | 8.52903i | 0.0114129 | − | 0.0313567i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −83.6530 | − | 70.1932i | −0.305303 | − | 0.256180i | ||||
\(275\) | 222.844 | + | 39.2934i | 0.810342 | + | 0.142885i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 382.880 | − | 321.274i | 1.38224 | − | 1.15984i | 0.413862 | − | 0.910340i | \(-0.364180\pi\) |
0.968376 | − | 0.249496i | \(-0.0802649\pi\) | |||||||
\(278\) | 130.864 | − | 75.5542i | 0.470733 | − | 0.271778i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −61.9541 | + | 107.308i | −0.221265 | + | 0.383242i | ||||
\(281\) | 68.9552 | − | 12.1587i | 0.245392 | − | 0.0432693i | −0.0495990 | − | 0.998769i | \(-0.515794\pi\) |
0.294991 | + | 0.955500i | \(0.404683\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 33.6840 | − | 12.2600i | 0.119025 | − | 0.0433214i | −0.281821 | − | 0.959467i | \(-0.590939\pi\) |
0.400846 | + | 0.916145i | \(0.368716\pi\) | |||||||
\(284\) | −36.4680 | − | 100.195i | −0.128409 | − | 0.352800i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 34.6628 | + | 196.583i | 0.121199 | + | 0.687352i | ||||
\(287\) | −324.574 | − | 187.393i | −1.13092 | − | 0.652937i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −141.926 | − | 245.822i | −0.491092 | − | 0.850596i | ||||
\(290\) | 100.815 | + | 120.147i | 0.347639 | + | 0.414300i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 23.5168 | − | 133.370i | 0.0805369 | − | 0.456747i | ||||
\(293\) | 21.9392 | − | 26.1461i | 0.0748779 | − | 0.0892360i | −0.727305 | − | 0.686314i | \(-0.759227\pi\) |
0.802183 | + | 0.597078i | \(0.203672\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 371.242 | + | 135.121i | 1.25845 | + | 0.458037i | ||||
\(296\) | − | 126.618i | − | 0.427765i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 219.366 | 0.736126 | ||||||||
\(299\) | 56.3596 | − | 154.847i | 0.188494 | − | 0.517882i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 206.809 | + | 173.534i | 0.687074 | + | 0.576524i | ||||
\(302\) | 215.950 | + | 38.0777i | 0.715065 | + | 0.126085i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 74.5414 | − | 62.5476i | 0.245202 | − | 0.205749i | ||||
\(305\) | −219.186 | + | 126.547i | −0.718642 | + | 0.414908i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −165.305 | + | 286.316i | −0.538452 | + | 0.932627i | 0.460535 | + | 0.887641i | \(0.347657\pi\) |
−0.998988 | + | 0.0449854i | \(0.985676\pi\) | |||||||
\(308\) | −297.929 | + | 52.5330i | −0.967303 | + | 0.170562i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 173.112 | − | 63.0075i | 0.558425 | − | 0.203250i | ||||
\(311\) | −82.6437 | − | 227.062i | −0.265735 | − | 0.730102i | −0.998755 | − | 0.0498938i | \(-0.984112\pi\) |
0.733019 | − | 0.680208i | \(-0.238111\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −54.4006 | − | 308.521i | −0.173804 | − | 0.985691i | −0.939515 | − | 0.342507i | \(-0.888724\pi\) |
0.765712 | − | 0.643184i | \(-0.222387\pi\) | |||||||
\(314\) | −148.782 | − | 85.8993i | −0.473828 | − | 0.273565i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −111.324 | − | 192.819i | −0.352291 | − | 0.610186i | ||||
\(317\) | 317.348 | + | 378.201i | 1.00110 | + | 1.19306i | 0.981147 | + | 0.193262i | \(0.0619068\pi\) |
0.0199518 | + | 0.999801i | \(0.493649\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −66.4953 | + | 377.114i | −0.208449 | + | 1.18217i | ||||
\(320\) | −30.8250 | + | 36.7358i | −0.0963280 | + | 0.114799i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 234.677 | + | 85.4154i | 0.728810 | + | 0.265265i | ||||
\(323\) | 55.1997i | 0.170897i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 74.5564 | 0.229404 | ||||||||
\(326\) | 32.3604 | − | 88.9096i | 0.0992651 | − | 0.272729i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −111.115 | − | 93.2364i | −0.338765 | − | 0.284257i | ||||
\(329\) | −91.3206 | − | 16.1023i | −0.277570 | − | 0.0489431i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 198.545 | − | 166.599i | 0.599833 | − | 0.503320i | −0.291559 | − | 0.956553i | \(-0.594174\pi\) |
0.891392 | + | 0.453233i | \(0.149730\pi\) | |||||||
\(332\) | 43.7313 | − | 25.2483i | 0.131721 | − | 0.0760491i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.12833 | + | 8.88254i | −0.0153543 | + | 0.0265944i | ||||
\(335\) | 698.519 | − | 123.168i | 2.08513 | − | 0.367665i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −431.168 | + | 156.932i | −1.27943 | + | 0.465675i | −0.890244 | − | 0.455484i | \(-0.849466\pi\) |
−0.389187 | + | 0.921159i | \(0.627244\pi\) | |||||||
\(338\) | −59.2488 | − | 162.785i | −0.175292 | − | 0.481612i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.72388 | − | 26.7905i | −0.0138938 | − | 0.0787955i | ||||
\(341\) | 389.523 | + | 224.891i | 1.14230 | + | 0.659505i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 162.937 | + | 282.216i | 0.475036 | + | 0.822786i | ||||
\(344\) | 67.1612 | + | 80.0396i | 0.195236 | + | 0.232673i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −17.8047 | + | 100.975i | −0.0514587 | + | 0.291837i | ||||
\(347\) | −173.848 | + | 207.184i | −0.501002 | + | 0.597071i | −0.955980 | − | 0.293432i | \(-0.905203\pi\) |
0.454978 | + | 0.890503i | \(0.349647\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −314.152 | − | 114.342i | −0.900148 | − | 0.327627i | −0.149836 | − | 0.988711i | \(-0.547875\pi\) |
−0.750312 | + | 0.661084i | \(0.770097\pi\) | |||||||
\(350\) | 112.993i | 0.322838i | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −117.084 | −0.332624 | ||||||||
\(353\) | −179.081 | + | 492.021i | −0.507312 | + | 1.39383i | 0.376688 | + | 0.926340i | \(0.377063\pi\) |
−0.884000 | + | 0.467487i | \(0.845159\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −244.810 | − | 205.420i | −0.689607 | − | 0.578649i | ||||
\(356\) | −80.6123 | − | 14.2141i | −0.226439 | − | 0.0399273i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 274.415 | − | 230.261i | 0.766521 | − | 0.643188i | ||||
\(359\) | 46.0527 | − | 26.5885i | 0.128280 | − | 0.0740627i | −0.434487 | − | 0.900678i | \(-0.643070\pi\) |
0.562767 | + | 0.826616i | \(0.309737\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −115.394 | + | 199.869i | −0.319652 | + | 0.553653i | ||||
\(362\) | −54.0798 | + | 9.53572i | −0.149392 | + | 0.0263418i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −93.6662 | + | 34.0917i | −0.257325 | + | 0.0936586i | ||||
\(365\) | −138.827 | − | 381.424i | −0.380348 | − | 1.04500i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 76.2686 | + | 432.541i | 0.207816 | + | 1.17859i | 0.892946 | + | 0.450164i | \(0.148635\pi\) |
−0.685129 | + | 0.728421i | \(0.740254\pi\) | |||||||
\(368\) | 83.7047 | + | 48.3269i | 0.227458 | + | 0.131323i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −189.750 | − | 328.657i | −0.512838 | − | 0.888261i | ||||
\(371\) | 83.4906 | + | 99.5002i | 0.225042 | + | 0.268195i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −102.738 | + | 582.657i | −0.275438 | + | 1.56208i | 0.462131 | + | 0.886812i | \(0.347085\pi\) |
−0.737568 | + | 0.675272i | \(0.764026\pi\) | |||||||
\(374\) | 42.6931 | − | 50.8797i | 0.114153 | − | 0.136042i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −33.7239 | − | 12.2745i | −0.0896913 | − | 0.0326450i | ||||
\(377\) | 126.170i | 0.334668i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 198.665 | 0.524183 | 0.262092 | − | 0.965043i | \(-0.415588\pi\) | ||||
0.262092 | + | 0.965043i | \(0.415588\pi\) | |||||||
\(380\) | 99.7493 | − | 274.059i | 0.262498 | − | 0.721208i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −215.000 | − | 180.406i | −0.562826 | − | 0.472267i | ||||
\(383\) | −31.8457 | − | 5.61525i | −0.0831479 | − | 0.0146612i | 0.131919 | − | 0.991260i | \(-0.457886\pi\) |
−0.215067 | + | 0.976599i | \(0.568997\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −694.594 | + | 582.833i | −1.80414 | + | 1.51385i | ||||
\(386\) | −69.8050 | + | 40.3019i | −0.180842 | + | 0.104409i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 40.4271 | − | 70.0219i | 0.104194 | − | 0.180469i | ||||
\(389\) | −215.378 | + | 37.9769i | −0.553671 | + | 0.0976271i | −0.443482 | − | 0.896284i | \(-0.646257\pi\) |
−0.110189 | + | 0.993911i | \(0.535146\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −51.5227 | + | 18.7527i | −0.131772 | + | 0.0479610i | ||||
\(392\) | −4.26587 | − | 11.7204i | −0.0108823 | − | 0.0298989i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 18.3822 | + | 104.251i | 0.0466553 | + | 0.264596i | ||||
\(395\) | −577.915 | − | 333.659i | −1.46308 | − | 0.844707i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −264.698 | − | 458.471i | −0.666746 | − | 1.15484i | −0.978809 | − | 0.204777i | \(-0.934353\pi\) |
0.312062 | − | 0.950062i | \(-0.398980\pi\) | |||||||
\(398\) | −118.567 | − | 141.303i | −0.297908 | − | 0.355033i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −7.59378 | + | 43.0665i | −0.0189844 | + | 0.107666i | ||||
\(401\) | 167.829 | − | 200.011i | 0.418526 | − | 0.498780i | −0.515049 | − | 0.857161i | \(-0.672226\pi\) |
0.933576 | + | 0.358380i | \(0.116671\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 139.259 | + | 50.6862i | 0.345556 | + | 0.125772i | ||||
\(404\) | 23.2017i | 0.0574299i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −191.216 | −0.470975 | ||||||||
\(407\) | 316.902 | − | 870.682i | 0.778629 | − | 2.13927i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 489.930 | + | 411.100i | 1.19787 | + | 1.00513i | 0.999688 | + | 0.0249695i | \(0.00794888\pi\) |
0.198184 | + | 0.980165i | \(0.436496\pi\) | |||||||
\(410\) | −428.139 | − | 75.4924i | −1.04424 | − | 0.184128i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −190.974 | + | 160.246i | −0.463529 | + | 0.388947i | ||||
\(413\) | −417.126 | + | 240.828i | −1.00999 | + | 0.583118i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 75.6740 | − | 131.071i | 0.182347 | − | 0.315834i | ||||
\(416\) | −37.9912 | + | 6.69888i | −0.0913251 | + | 0.0161031i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 669.123 | − | 243.541i | 1.60077 | − | 0.582634i | ||||
\(419\) | 244.237 | + | 671.034i | 0.582904 | + | 1.60151i | 0.783194 | + | 0.621778i | \(0.213589\pi\) |
−0.200290 | + | 0.979737i | \(0.564189\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12.1583 | − | 68.9530i | −0.0288795 | − | 0.163784i | 0.966957 | − | 0.254939i | \(-0.0820553\pi\) |
−0.995837 | + | 0.0911549i | \(0.970944\pi\) | |||||||
\(422\) | 38.7234 | + | 22.3570i | 0.0917616 | + | 0.0529786i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 25.1348 | + | 43.5347i | 0.0592801 | + | 0.102676i | ||||
\(425\) | −15.9459 | − | 19.0036i | −0.0375197 | − | 0.0447143i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 53.5818 | − | 303.877i | 0.125484 | − | 0.711656i | ||||
\(428\) | 183.257 | − | 218.397i | 0.428169 | − | 0.510272i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 294.274 | + | 107.107i | 0.684358 | + | 0.249086i | ||||
\(431\) | − | 76.1177i | − | 0.176607i | −0.996094 | − | 0.0883036i | \(-0.971855\pi\) | ||
0.996094 | − | 0.0883036i | \(-0.0281446\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 109.713 | 0.253380 | 0.126690 | − | 0.991942i | \(-0.459565\pi\) | ||||
0.126690 | + | 0.991942i | \(0.459565\pi\) | |||||||
\(434\) | −76.8170 | + | 211.053i | −0.176998 | + | 0.486297i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 182.741 | + | 153.338i | 0.419131 | + | 0.351693i | ||||
\(437\) | −578.887 | − | 102.073i | −1.32468 | − | 0.233578i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 87.3258 | − | 73.2751i | 0.198920 | − | 0.166914i | −0.537887 | − | 0.843017i | \(-0.680777\pi\) |
0.736807 | + | 0.676103i | \(0.236333\pi\) | |||||||
\(440\) | −303.908 | + | 175.461i | −0.690701 | + | 0.398776i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 10.9420 | − | 18.9521i | 0.0247556 | − | 0.0428780i | ||||
\(443\) | −170.087 | + | 29.9909i | −0.383944 | + | 0.0676996i | −0.362289 | − | 0.932066i | \(-0.618005\pi\) |
−0.0216549 | + | 0.999766i | \(0.506893\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −230.542 | + | 83.9106i | −0.518073 | + | 0.188563i | ||||
\(446\) | 49.3618 | + | 135.621i | 0.110677 | + | 0.304082i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −10.1524 | − | 57.5773i | −0.0226617 | − | 0.128521i | ||||
\(449\) | −164.941 | − | 95.2288i | −0.367352 | − | 0.212091i | 0.304949 | − | 0.952369i | \(-0.401361\pi\) |
−0.672301 | + | 0.740278i | \(0.734694\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −530.719 | − | 919.233i | −1.17676 | − | 2.03821i | ||||
\(452\) | −133.272 | − | 158.827i | −0.294849 | − | 0.351388i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −63.1661 | + | 358.233i | −0.139132 | + | 0.789059i | ||||
\(455\) | −192.035 | + | 228.858i | −0.422054 | + | 0.502985i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −135.071 | − | 49.1618i | −0.295560 | − | 0.107575i | 0.189984 | − | 0.981787i | \(-0.439156\pi\) |
−0.485544 | + | 0.874212i | \(0.661379\pi\) | |||||||
\(458\) | − | 388.872i | − | 0.849066i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 289.690 | 0.629762 | ||||||||
\(461\) | −223.385 | + | 613.745i | −0.484566 | + | 1.33133i | 0.420974 | + | 0.907073i | \(0.361688\pi\) |
−0.905540 | + | 0.424261i | \(0.860534\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 17.1769 | + | 14.4132i | 0.0370992 | + | 0.0311299i | 0.661149 | − | 0.750255i | \(-0.270069\pi\) |
−0.624050 | + | 0.781385i | \(0.714514\pi\) | |||||||
\(464\) | −72.8804 | − | 12.8508i | −0.157070 | − | 0.0276956i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −279.349 | + | 234.402i | −0.599462 | + | 0.503008i | ||||
\(467\) | 413.326 | − | 238.634i | 0.885065 | − | 0.510993i | 0.0127402 | − | 0.999919i | \(-0.495945\pi\) |
0.872325 | + | 0.488926i | \(0.162611\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −432.376 | + | 748.898i | −0.921911 | + | 1.59680i | ||||
\(470\) | −105.930 | + | 18.6783i | −0.225383 | + | 0.0397411i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −175.169 | + | 63.7563i | −0.371120 | + | 0.135077i | ||||
\(473\) | 261.505 | + | 718.478i | 0.552864 | + | 1.51898i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −46.1829 | − | 261.916i | −0.0972272 | − | 0.551403i | ||||
\(476\) | 28.7226 | + | 16.5830i | 0.0603417 | + | 0.0348383i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 88.0673 | + | 152.537i | 0.184241 | + | 0.319115i | ||||
\(479\) | −383.849 | − | 457.454i | −0.801356 | − | 0.955019i | 0.198329 | − | 0.980136i | \(-0.436449\pi\) |
−0.999685 | + | 0.0251168i | \(0.992004\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 53.0126 | − | 300.649i | 0.110213 | − | 0.625051i | ||||
\(482\) | 59.4942 | − | 70.9024i | 0.123432 | − | 0.147100i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −577.712 | − | 210.270i | −1.19362 | − | 0.434442i | ||||
\(485\) | − | 242.336i | − | 0.499662i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 758.948 | 1.55842 | 0.779208 | − | 0.626766i | \(-0.215622\pi\) | ||||
0.779208 | + | 0.626766i | \(0.215622\pi\) | |||||||
\(488\) | 40.8445 | − | 112.219i | 0.0836977 | − | 0.229957i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −28.6368 | − | 24.0291i | −0.0584425 | − | 0.0490391i | ||||
\(491\) | −258.651 | − | 45.6071i | −0.526783 | − | 0.0928861i | −0.0960694 | − | 0.995375i | \(-0.530627\pi\) |
−0.430714 | + | 0.902489i | \(0.641738\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 32.1593 | − | 26.9849i | 0.0652319 | − | 0.0547360i | ||||
\(494\) | 203.182 | − | 117.307i | 0.411300 | − | 0.237464i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −43.4621 | + | 75.2785i | −0.0876252 | + | 0.151771i | ||||
\(497\) | 383.701 | − | 67.6568i | 0.772033 | − | 0.136130i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 85.4398 | − | 31.0975i | 0.171222 | − | 0.0623197i | −0.254987 | − | 0.966945i | \(-0.582071\pi\) |
0.426209 | + | 0.904625i | \(0.359849\pi\) | |||||||
\(500\) | −57.6816 | − | 158.479i | −0.115363 | − | 0.316958i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −57.4301 | − | 325.702i | −0.114403 | − | 0.648809i | ||||
\(503\) | 368.263 | + | 212.617i | 0.732134 | + | 0.422698i | 0.819202 | − | 0.573505i | \(-0.194417\pi\) |
−0.0870685 | + | 0.996202i | \(0.527750\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 34.7700 | + | 60.2234i | 0.0688515 | + | 0.119254i | ||||
\(506\) | 454.636 | + | 541.814i | 0.898490 | + | 1.07078i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 76.2453 | − | 432.408i | 0.150089 | − | 0.851198i | ||||
\(509\) | 434.422 | − | 517.724i | 0.853481 | − | 1.01714i | −0.146130 | − | 0.989265i | \(-0.546682\pi\) |
0.999611 | − | 0.0278737i | \(-0.00887363\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 465.022 | + | 169.254i | 0.910023 | + | 0.331221i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 106.298 | 0.206805 | ||||||||
\(515\) | −255.556 | + | 702.135i | −0.496226 | + | 1.36337i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −201.179 | − | 168.809i | −0.389128 | − | 0.326517i | ||||
\(518\) | 455.647 | + | 80.3428i | 0.879627 | + | 0.155102i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −88.5729 | + | 74.3215i | −0.170333 | + | 0.142926i | ||||
\(521\) | 677.597 | − | 391.211i | 1.30057 | − | 0.750885i | 0.320069 | − | 0.947394i | \(-0.396294\pi\) |
0.980502 | + | 0.196509i | \(0.0629606\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −342.909 | + | 593.936i | −0.655658 | + | 1.13563i | 0.326071 | + | 0.945345i | \(0.394275\pi\) |
−0.981729 | + | 0.190287i | \(0.939058\pi\) | |||||||
\(524\) | 257.313 | − | 45.3712i | 0.491055 | − | 0.0865863i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −201.288 | + | 73.2629i | −0.382677 | + | 0.139283i | ||||
\(527\) | −16.8650 | − | 46.3362i | −0.0320019 | − | 0.0879244i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.52859 | − | 54.0393i | −0.0180124 | − | 0.102154i | ||||
\(530\) | 130.482 | + | 75.3338i | 0.246192 | + | 0.142139i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 177.784 | + | 307.931i | 0.334181 | + | 0.578819i | ||||
\(533\) | −224.801 | − | 267.907i | −0.421765 | − | 0.502640i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 148.381 | − | 841.508i | 0.277347 | − | 1.57291i | ||||
\(536\) | −215.127 | + | 256.378i | −0.401356 | + | 0.478317i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −227.071 | − | 82.6472i | −0.422066 | − | 0.153619i | ||||
\(539\) | − | 91.2710i | − | 0.169334i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 884.789 | 1.63547 | 0.817735 | − | 0.575595i | \(-0.195229\pi\) | ||||
0.817735 | + | 0.575595i | \(0.195229\pi\) | |||||||
\(542\) | 4.09458 | − | 11.2498i | 0.00755457 | − | 0.0207560i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 9.83292 | + | 8.25080i | 0.0180752 | + | 0.0151669i | ||||
\(545\) | 704.124 | + | 124.156i | 1.29197 | + | 0.227809i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 263.600 | − | 221.186i | 0.481901 | − | 0.404363i | −0.369212 | − | 0.929345i | \(-0.620373\pi\) |
0.851113 | + | 0.524982i | \(0.175928\pi\) | |||||||
\(548\) | 133.744 | − | 77.2169i | 0.244058 | − | 0.140907i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −160.005 | + | 277.137i | −0.290919 | + | 0.503886i | ||||
\(551\) | 443.235 | − | 78.1542i | 0.804419 | − | 0.141841i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 764.512 | − | 278.260i | 1.38248 | − | 0.503182i | ||||
\(554\) | 241.755 | + | 664.216i | 0.436381 | + | 1.19895i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 37.1086 | + | 210.453i | 0.0667420 | + | 0.378513i | ||||
\(557\) | 274.575 | + | 158.526i | 0.492953 | + | 0.284606i | 0.725799 | − | 0.687907i | \(-0.241470\pi\) |
−0.232846 | + | 0.972514i | \(0.574804\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 125.960 | + | 218.169i | 0.225331 | + | 0.390285i | ||||
\(560\) | −112.637 | − | 134.236i | −0.201138 | − | 0.239707i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −17.1950 | + | 97.5174i | −0.0305960 | + | 0.173519i | ||||
\(563\) | −130.488 | + | 155.510i | −0.231773 | + | 0.276216i | −0.869379 | − | 0.494147i | \(-0.835481\pi\) |
0.637605 | + | 0.770363i | \(0.279925\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −583.945 | − | 212.539i | −1.03353 | − | 0.376174i | ||||
\(566\) | 50.6935i | 0.0895646i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 150.791 | 0.265477 | ||||||||
\(569\) | 80.4994 | − | 221.170i | 0.141475 | − | 0.388700i | −0.848637 | − | 0.528975i | \(-0.822576\pi\) |
0.990113 | + | 0.140275i | \(0.0447987\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 50.2848 | + | 42.1940i | 0.0880645 | + | 0.0738949i | 0.685757 | − | 0.727830i | \(-0.259471\pi\) |
−0.597693 | + | 0.801725i | \(0.703916\pi\) | |||||||
\(572\) | −278.010 | − | 49.0207i | −0.486031 | − | 0.0857005i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 406.024 | − | 340.695i | 0.707359 | − | 0.593545i | ||||
\(575\) | 228.780 | − | 132.086i | 0.397878 | − | 0.229715i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 72.1281 | − | 124.930i | 0.125005 | − | 0.216516i | −0.796730 | − | 0.604336i | \(-0.793439\pi\) |
0.921735 | + | 0.387820i | \(0.126772\pi\) | |||||||
\(578\) | 395.328 | − | 69.7069i | 0.683958 | − | 0.120600i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −208.430 | + | 75.8622i | −0.359362 | + | 0.130797i | ||||
\(581\) | 63.1094 | + | 173.392i | 0.108622 | + | 0.298436i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 63.8781 | + | 362.271i | 0.109568 | + | 0.621391i | ||||
\(584\) | 165.864 | + | 95.7618i | 0.284014 | + | 0.163976i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 24.1345 | + | 41.8022i | 0.0411852 | + | 0.0713348i | ||||
\(587\) | −364.747 | − | 434.688i | −0.621375 | − | 0.740526i | 0.359931 | − | 0.932979i | \(-0.382800\pi\) |
−0.981306 | + | 0.192453i | \(0.938356\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 91.7982 | − | 520.613i | 0.155854 | − | 0.883894i | ||||
\(590\) | −359.132 | + | 427.996i | −0.608698 | + | 0.725418i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 168.266 | + | 61.2440i | 0.284234 | + | 0.103453i | ||||
\(593\) | − | 174.635i | − | 0.294494i | −0.989100 | − | 0.147247i | \(-0.952959\pi\) | ||
0.989100 | − | 0.147247i | \(-0.0470412\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 99.4051 | 0.167067 | ||||||||
\(596\) | −106.105 | + | 291.521i | −0.178028 | + | 0.489128i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 178.519 | + | 149.796i | 0.298527 | + | 0.250494i | ||||
\(599\) | 424.905 | + | 74.9222i | 0.709357 | + | 0.125079i | 0.516674 | − | 0.856182i | \(-0.327170\pi\) |
0.192683 | + | 0.981261i | \(0.438281\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −636.447 | + | 534.042i | −1.05898 | + | 0.888589i | −0.994009 | − | 0.109298i | \(-0.965140\pi\) |
−0.0649703 | + | 0.997887i | \(0.520695\pi\) | |||||||
\(602\) | −330.645 | + | 190.898i | −0.549244 | + | 0.317106i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −155.055 | + | 268.563i | −0.256714 | + | 0.444641i | ||||
\(605\) | −1814.65 | + | 319.971i | −2.99942 | + | 0.528878i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 352.792 | − | 128.406i | 0.581205 | − | 0.211541i | −0.0346516 | − | 0.999399i | \(-0.511032\pi\) |
0.615857 | + | 0.787858i | \(0.288810\pi\) | |||||||
\(608\) | 47.0663 | + | 129.314i | 0.0774117 | + | 0.212687i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −62.1537 | − | 352.491i | −0.101891 | − | 0.577854i | ||||
\(611\) | −74.9368 | − | 43.2648i | −0.122646 | − | 0.0708098i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 192.466 | + | 333.361i | 0.313974 | + | 0.543820i | 0.979219 | − | 0.202806i | \(-0.0650060\pi\) |
−0.665245 | + | 0.746626i | \(0.731673\pi\) | |||||||
\(614\) | −300.537 | − | 358.166i | −0.489474 | − | 0.583333i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 74.2929 | − | 421.336i | 0.120605 | − | 0.683987i | ||||
\(617\) | 106.165 | − | 126.523i | 0.172066 | − | 0.205061i | −0.673119 | − | 0.739534i | \(-0.735046\pi\) |
0.845185 | + | 0.534474i | \(0.179490\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −449.740 | − | 163.692i | −0.726560 | − | 0.264446i | −0.0478519 | − | 0.998854i | \(-0.515238\pi\) |
−0.678708 | + | 0.734408i | \(0.737460\pi\) | |||||||
\(620\) | 260.529i | 0.420208i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 341.722 | 0.549392 | ||||||||
\(623\) | 102.301 | − | 281.071i | 0.164208 | − | 0.451157i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −596.591 | − | 500.599i | −0.954545 | − | 0.800958i | ||||
\(626\) | 436.315 | + | 76.9341i | 0.696989 | + | 0.122898i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 186.118 | − | 156.172i | 0.296366 | − | 0.248681i | ||||
\(629\) | −87.9703 | + | 50.7897i | −0.139857 | + | 0.0807467i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 124.618 | − | 215.844i | 0.197493 | − | 0.342067i | −0.750222 | − | 0.661186i | \(-0.770053\pi\) |
0.947715 | + | 0.319119i | \(0.103387\pi\) | |||||||
\(632\) | 310.088 | − | 54.6769i | 0.490645 | − | 0.0865140i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −656.099 | + | 238.801i | −1.03486 | + | 0.376657i | ||||
\(635\) | −450.100 | − | 1236.64i | −0.708819 | − | 1.94746i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.22202 | − | 29.6155i | −0.00819783 | − | 0.0464922i | ||||
\(638\) | −468.993 | − | 270.773i | −0.735099 | − | 0.424410i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −33.9094 | − | 58.7328i | −0.0529834 | − | 0.0917700i | ||||
\(641\) | −144.405 | − | 172.096i | −0.225282 | − | 0.268480i | 0.641550 | − | 0.767081i | \(-0.278292\pi\) |
−0.866832 | + | 0.498601i | \(0.833847\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −63.2329 | + | 358.612i | −0.0983404 | + | 0.557716i | 0.895332 | + | 0.445399i | \(0.146938\pi\) |
−0.993672 | + | 0.112317i | \(0.964173\pi\) | |||||||
\(644\) | −227.021 | + | 270.554i | −0.352518 | + | 0.420114i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −73.3564 | − | 26.6995i | −0.113555 | − | 0.0413305i | ||||
\(647\) | 1200.78i | 1.85593i | 0.372671 | + | 0.927964i | \(0.378442\pi\) | ||||
−0.372671 | + | 0.927964i | \(0.621558\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1364.11 | −2.10186 | ||||||||
\(650\) | −36.0621 | + | 99.0799i | −0.0554802 | + | 0.152431i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 102.502 | + | 86.0092i | 0.157211 | + | 0.131916i | ||||
\(653\) | −626.194 | − | 110.415i | −0.958949 | − | 0.169089i | −0.327797 | − | 0.944748i | \(-0.606306\pi\) |
−0.631152 | + | 0.775659i | \(0.717417\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 599.900 | − | 503.376i | 0.915878 | − | 0.768513i | ||||
\(656\) | 177.649 | − | 102.566i | 0.270807 | − | 0.156350i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 65.5696 | − | 113.570i | 0.0996498 | − | 0.172599i | ||||
\(659\) | −1147.84 | + | 202.395i | −1.74179 | + | 0.307125i | −0.951965 | − | 0.306207i | \(-0.900940\pi\) |
−0.789825 | + | 0.613332i | \(0.789829\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 904.893 | − | 329.354i | 1.36898 | − | 0.498266i | 0.450158 | − | 0.892949i | \(-0.351368\pi\) |
0.918818 | + | 0.394683i | \(0.129145\pi\) | |||||||
\(662\) | 125.363 | + | 344.433i | 0.189371 | + | 0.520292i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 12.4007 | + | 70.3280i | 0.0186758 | + | 0.105916i | ||||
\(665\) | 922.931 | + | 532.854i | 1.38787 | + | 0.801285i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 223.526 | + | 387.159i | 0.335122 | + | 0.580448i | ||||
\(668\) | −9.32371 | − | 11.1116i | −0.0139577 | − | 0.0166341i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −174.185 | + | 987.855i | −0.259978 | + | 1.47441i | ||||
\(671\) | 561.728 | − | 669.441i | 0.837150 | − | 0.997677i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 612.694 | + | 223.002i | 0.910392 | + | 0.331355i | 0.754409 | − | 0.656404i | \(-0.227923\pi\) |
0.155982 | + | 0.987760i | \(0.450146\pi\) | |||||||
\(674\) | − | 648.897i | − | 0.962755i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 244.987 | 0.362407 | ||||||||
\(677\) | 258.040 | − | 708.958i | 0.381152 | − | 1.04721i | −0.589720 | − | 0.807608i | \(-0.700762\pi\) |
0.970872 | − | 0.239598i | \(-0.0770158\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 226.327 | + | 189.911i | 0.333325 | + | 0.279693i | ||||
\(680\) | 37.8874 | + | 6.68058i | 0.0557168 | + | 0.00982438i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −487.272 | + | 408.870i | −0.714475 | + | 0.599516i | ||||
\(683\) | 405.766 | − | 234.269i | 0.594094 | − | 0.343000i | −0.172621 | − | 0.984988i | \(-0.555224\pi\) |
0.766715 | + | 0.641988i | \(0.221890\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 231.434 | − | 400.856i | 0.337860 | − | 0.585191i | ||||
\(686\) | −453.855 | + | 80.0268i | −0.661596 | + | 0.116657i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −138.852 | + | 50.5380i | −0.201820 | + | 0.0734563i | ||||
\(689\) | 41.4542 | + | 113.895i | 0.0601658 | + | 0.165304i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 37.3428 | + | 211.781i | 0.0540416 | + | 0.306485i | 0.999833 | − | 0.0182903i | \(-0.00582232\pi\) |
−0.945791 | + | 0.324776i | \(0.894711\pi\) | |||||||
\(692\) | −125.577 | − | 72.5019i | −0.181470 | − | 0.104772i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −191.243 | − | 331.243i | −0.275567 | − | 0.477296i | ||||
\(695\) | 411.705 | + | 490.651i | 0.592382 | + | 0.705973i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −20.2068 | + | 114.598i | −0.0289911 | + | 0.164416i | ||||
\(698\) | 303.904 | − | 362.178i | 0.435392 | − | 0.518880i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −150.160 | − | 54.6537i | −0.214514 | − | 0.0780767i | ||||
\(701\) | − | 848.227i | − | 1.21002i | −0.796216 | − | 0.605012i | \(-0.793168\pi\) | ||
0.796216 | − | 0.605012i | \(-0.206832\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1089.02 | −1.54910 | ||||||||
\(704\) | 56.6322 | − | 155.596i | 0.0804435 | − | 0.221017i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −567.240 | − | 475.971i | −0.803456 | − | 0.674180i | ||||
\(707\) | −83.4932 | − | 14.7221i | −0.118095 | − | 0.0208234i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −63.9344 | + | 53.6473i | −0.0901754 | + | 0.0756662i | −0.686761 | − | 0.726883i | \(-0.740968\pi\) |
0.596586 | + | 0.802549i | \(0.296524\pi\) | |||||||
\(710\) | 391.401 | − | 225.975i | 0.551268 | − | 0.318275i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 57.8809 | − | 100.253i | 0.0812934 | − | 0.140804i | ||||
\(713\) | 517.120 | − | 91.1822i | 0.725273 | − | 0.127885i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −795.078 | + | 289.385i | −1.11200 | + | 0.404734i | ||||
\(716\) | 173.269 | + | 476.052i | 0.241995 | + | 0.664876i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 13.0590 | + | 74.0612i | 0.0181880 | + | 0.103149i | ||||
\(719\) | −1032.07 | − | 595.867i | −1.43543 | − | 0.828744i | −0.437899 | − | 0.899024i | \(-0.644277\pi\) |
−0.997527 | + | 0.0702802i | \(0.977611\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −455.481 | − | 788.916i | −0.631735 | − | 1.09420i | ||||
\(722\) | −209.796 | − | 250.025i | −0.290576 | − | 0.346295i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 13.4855 | − | 76.4803i | 0.0186264 | − | 0.105636i | ||||
\(725\) | −130.015 | + | 154.946i | −0.179331 | + | 0.213719i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −633.829 | − | 230.695i | −0.871842 | − | 0.317325i | −0.132929 | − | 0.991126i | \(-0.542438\pi\) |
−0.738913 | + | 0.673801i | \(0.764661\pi\) | |||||||
\(728\) | − | 140.965i | − | 0.193634i | ||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 574.034 | 0.786348 | ||||||||
\(731\) | 28.6689 | − | 78.7672i | 0.0392188 | − | 0.107753i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −149.604 | − | 125.532i | −0.204098 | − | 0.171259i | 0.535010 | − | 0.844846i | \(-0.320308\pi\) |
−0.739107 | + | 0.673588i | \(0.764752\pi\) | |||||||
\(734\) | −611.705 | − | 107.860i | −0.833386 | − | 0.146948i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −104.710 | + | 87.8621i | −0.142269 | + | 0.119378i | ||||
\(737\) | −2120.97 | + | 1224.54i | −2.87784 | + | 1.66152i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −718.905 | + | 1245.18i | −0.972807 | + | 1.68495i | −0.285818 | + | 0.958284i | \(0.592265\pi\) |
−0.686989 | + | 0.726668i | \(0.741068\pi\) | |||||||
\(740\) | 528.540 | − | 93.1959i | 0.714244 | − | 0.125940i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −172.612 | + | 62.8256i | −0.232631 | + | 0.0846707i | ||||
\(743\) | 342.663 | + | 941.458i | 0.461188 | + | 1.26710i | 0.924593 | + | 0.380957i | \(0.124405\pi\) |
−0.463405 | + | 0.886147i | \(0.653372\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 161.461 | + | 915.693i | 0.216727 | + | 1.22912i | ||||
\(746\) | −724.615 | − | 418.357i | −0.971334 | − | 0.560800i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 46.9651 | + | 81.3460i | 0.0627876 | + | 0.108751i | ||||
\(749\) | 669.637 | + | 798.043i | 0.894042 | + | 1.06548i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −129.904 | + | 736.724i | −0.172975 | + | 0.980990i | 0.767480 | + | 0.641073i | \(0.221510\pi\) |
−0.940455 | + | 0.339918i | \(0.889601\pi\) | |||||||
\(752\) | 32.6238 | − | 38.8795i | 0.0433827 | − | 0.0517015i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −167.671 | − | 61.0271i | −0.222375 | − | 0.0809378i | ||||
\(755\) | 929.460i | 1.23107i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 788.946 | 1.04220 | 0.521100 | − | 0.853496i | \(-0.325522\pi\) | ||||
0.521100 | + | 0.853496i | \(0.325522\pi\) | |||||||
\(758\) | −96.0924 | + | 264.012i | −0.126771 | + | 0.348300i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 315.956 | + | 265.119i | 0.415732 | + | 0.348841i | ||||
\(761\) | −512.126 | − | 90.3016i | −0.672965 | − | 0.118662i | −0.173284 | − | 0.984872i | \(-0.555438\pi\) |
−0.499680 | + | 0.866210i | \(0.666549\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −667.754 | + | 560.312i | −0.875170 | + | 0.734354i | ||||
\(764\) | 343.739 | − | 198.458i | 0.449921 | − | 0.259762i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 22.8657 | − | 39.6045i | 0.0298507 | − | 0.0517030i | ||||
\(767\) | −442.624 | + | 78.0465i | −0.577084 | + | 0.101756i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 683.962 | − | 248.942i | 0.889417 | − | 0.323721i | 0.143413 | − | 0.989663i | \(-0.454192\pi\) |
0.746004 | + | 0.665942i | \(0.231970\pi\) | |||||||
\(770\) | −438.575 | − | 1204.97i | −0.569578 | − | 1.56490i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −19.7943 | − | 112.259i | −0.0256403 | − | 0.145414i | ||||
\(773\) | 980.568 | + | 566.131i | 1.26852 | + | 0.732382i | 0.974708 | − | 0.223480i | \(-0.0717419\pi\) |
0.293814 | + | 0.955862i | \(0.405075\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 118.790 | + | 205.750i | 0.153277 | + | 0.265483i | ||||
\(776\) | 73.4997 | + | 87.5935i | 0.0947161 | + | 0.112878i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 53.7075 | − | 304.590i | 0.0690328 | − | 0.391504i | ||||
\(779\) | −801.907 | + | 955.675i | −1.02941 | + | 1.22680i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1036.90 | + | 377.402i | 1.32766 | + | 0.483229i | ||||
\(782\) | − | 77.5404i | − | 0.0991565i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 17.6389 | 0.0224986 | ||||||||
\(785\) | 249.058 | − | 684.282i | 0.317272 | − | 0.871697i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −591.843 | − | 496.615i | −0.752024 | − | 0.631023i | 0.184013 | − | 0.982924i | \(-0.441091\pi\) |
−0.936037 | + | 0.351901i | \(0.885536\pi\) | |||||||
\(788\) | −147.433 | − | 25.9964i | −0.187097 | − | 0.0329903i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 722.940 | − | 606.619i | 0.915114 | − | 0.767872i | ||||
\(791\) | 656.118 | − | 378.810i | 0.829479 | − | 0.478900i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 143.967 | − | 249.359i | 0.181548 | − | 0.314450i | ||||
\(794\) | 737.306 | − | 130.007i | 0.928597 | − | 0.163737i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 245.131 | − | 89.2204i | 0.307954 | − | 0.112086i | ||||
\(797\) | −383.656 | − | 1054.09i | −0.481375 | − | 1.32257i | −0.908315 | − | 0.418287i | \(-0.862631\pi\) |
0.426940 | − | 0.904280i | \(-0.359592\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.99955 | + | 28.3539i | 0.00625726 | + | 0.0354867i | ||||
\(800\) | −53.5591 | − | 30.9224i | −0.0669489 | − | 0.0386530i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 184.623 | + | 319.776i | 0.230203 | + | 0.398723i | ||||
\(803\) | 900.880 | + | 1073.63i | 1.12189 | + | 1.33702i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −183.817 | + | 1042.48i | −0.228343 | + | 1.29500i | ||||
\(806\) | −134.716 | + | 160.549i | −0.167142 | + | 0.199192i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −30.8333 | − | 11.2224i | −0.0381601 | − | 0.0138891i | ||||
\(809\) | − | 1053.93i | − | 1.30275i | −0.758754 | − | 0.651377i | \(-0.774192\pi\) | ||
0.758754 | − | 0.651377i | \(-0.225808\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −440.011 | −0.542554 | −0.271277 | − | 0.962501i | \(-0.587446\pi\) | ||||
−0.271277 | + | 0.962501i | \(0.587446\pi\) | |||||||
\(812\) | 92.4892 | − | 254.112i | 0.113903 | − | 0.312946i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1003.79 | + | 842.279i | 1.23316 | + | 1.03474i | ||||
\(815\) | 394.952 | + | 69.6407i | 0.484603 | + | 0.0854487i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 688.404 | − | 577.639i | 0.842600 | − | 0.707025i | ||||
\(818\) | −783.295 | + | 452.236i | −0.957574 | + | 0.552855i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 307.410 | − | 532.450i | 0.374890 | − | 0.649329i | ||||
\(821\) | 293.175 | − | 51.6946i | 0.357095 | − | 0.0629654i | 0.00777691 | − | 0.999970i | \(-0.497525\pi\) |
0.349318 | + | 0.937004i | \(0.386413\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −452.037 | + | 164.528i | −0.549255 | + | 0.199912i | −0.601715 | − | 0.798711i | \(-0.705516\pi\) |
0.0524604 | + | 0.998623i | \(0.483294\pi\) | |||||||
\(824\) | −120.583 | − | 331.299i | −0.146339 | − | 0.402062i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −118.283 | − | 670.815i | −0.143199 | − | 0.812125i | ||||
\(827\) | 271.357 | + | 156.668i | 0.328122 | + | 0.189441i | 0.655007 | − | 0.755623i | \(-0.272666\pi\) |
−0.326885 | + | 0.945064i | \(0.605999\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 320.622 | + | 555.333i | 0.386757 | + | 0.669883i | 0.992011 | − | 0.126149i | \(-0.0402618\pi\) |
−0.605254 | + | 0.796032i | \(0.706928\pi\) | |||||||
\(830\) | 137.581 | + | 163.963i | 0.165761 | + | 0.197546i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 9.47365 | − | 53.7277i | 0.0113866 | − | 0.0645766i | ||||
\(833\) | −6.43179 | + | 7.66511i | −0.00772124 | + | 0.00920182i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −40.8528 | − | 14.8692i | −0.0489255 | − | 0.0178074i | ||||
\(836\) | 1007.01i | 1.20456i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −1009.89 | −1.20512 | ||||||||
\(839\) | −301.891 | + | 829.438i | −0.359822 | + | 0.988603i | 0.619269 | + | 0.785179i | \(0.287429\pi\) |
−0.979091 | + | 0.203424i | \(0.934793\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 382.032 | + | 320.563i | 0.454259 | + | 0.381168i | ||||
\(842\) | 97.5142 | + | 17.1944i | 0.115813 | + | 0.0204209i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −48.4408 | + | 40.6467i | −0.0573944 | + | 0.0481596i | ||||
\(845\) | 635.899 | − | 367.137i | 0.752544 | − | 0.434481i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1123.25 | − | 1945.52i | 1.32615 | − | 2.29696i | ||||
\(848\) | −70.0118 | + | 12.3450i | −0.0825611 | + | 0.0145578i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 32.9672 | − | 11.9991i | 0.0387850 | − | 0.0141166i | ||||
\(851\) | −369.967 | − | 1016.47i | −0.434743 | − | 1.19445i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −241.895 | − | 1371.85i | −0.283581 | − | 1.60827i | −0.710311 | − | 0.703888i | \(-0.751446\pi\) |
0.426730 | − | 0.904379i | \(-0.359666\pi\) | |||||||
\(854\) | 377.913 | + | 218.188i | 0.442522 | + | 0.255490i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 201.594 | + | 349.171i | 0.235507 | + | 0.407910i | ||||
\(857\) | 81.1695 | + | 96.7341i | 0.0947135 | + | 0.112875i | 0.811319 | − | 0.584603i | \(-0.198750\pi\) |
−0.716606 | + | 0.697478i | \(0.754305\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 197.472 | − | 1119.92i | 0.229886 | − | 1.30375i | −0.623234 | − | 0.782035i | \(-0.714182\pi\) |
0.853120 | − | 0.521714i | \(-0.174707\pi\) | |||||||
\(860\) | −284.674 | + | 339.262i | −0.331017 | + | 0.394490i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 101.155 | + | 36.8173i | 0.117349 | + | 0.0427115i | ||||
\(863\) | − | 458.427i | − | 0.531202i | −0.964083 | − | 0.265601i | \(-0.914430\pi\) | ||
0.964083 | − | 0.265601i | \(-0.0855703\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −434.605 | −0.502433 | ||||||||
\(866\) | −53.0672 | + | 145.801i | −0.0612786 | + | 0.168362i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −243.318 | − | 204.168i | −0.280321 | − | 0.235217i | ||||
\(869\) | 2269.14 | + | 400.111i | 2.61121 | + | 0.460427i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −618.148 | + | 518.688i | −0.709700 | + | 0.595509i | ||||
\(872\) | −292.165 | + | 168.682i | −0.335052 | + | 0.193442i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 415.650 | − | 719.926i | 0.475572 | − | 0.823714i | ||||
\(875\) | 606.900 | − | 107.013i | 0.693600 | − | 0.122300i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1234.89 | + | 449.462i | −1.40808 | + | 0.512500i | −0.930566 | − | 0.366124i | \(-0.880685\pi\) |
−0.477515 | + | 0.878623i | \(0.658462\pi\) | |||||||
\(878\) | 55.1386 | + | 151.492i | 0.0628002 | + | 0.172542i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −86.1781 | − | 488.740i | −0.0979297 | − | 0.555387i | ||||
\(881\) | −1313.98 | − | 758.626i | −1.49146 | − | 0.861096i | −0.491510 | − | 0.870872i | \(-0.663555\pi\) |
−0.999952 | + | 0.00977549i | \(0.996888\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −761.692 | − | 1319.29i | −0.862619 | − | 1.49410i | −0.869392 | − | 0.494123i | \(-0.835489\pi\) |
0.00677344 | − | 0.999977i | \(-0.497844\pi\) | |||||||
\(884\) | 19.8934 | + | 23.7080i | 0.0225038 | + | 0.0268190i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 42.4136 | − | 240.539i | 0.0478709 | − | 0.271489i | ||||
\(887\) | 506.405 | − | 603.510i | 0.570919 | − | 0.680394i | −0.400901 | − | 0.916122i | \(-0.631303\pi\) |
0.971819 | + | 0.235727i | \(0.0757472\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1507.68 | + | 548.750i | 1.69593 | + | 0.617266i | ||||
\(890\) | − | 346.960i | − | 0.389843i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −204.105 | −0.228818 | ||||||||
\(893\) | −105.570 | + | 290.052i | −0.118220 | + | 0.324807i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1163.15 | + | 976.002i | 1.29961 | + | 1.09050i | ||||
\(896\) | 81.4267 | + | 14.3577i | 0.0908780 | + | 0.0160242i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 206.332 | − | 173.133i | 0.229769 | − | 0.192799i | ||||
\(899\) | −348.185 | + | 201.025i | −0.387303 | + | 0.223609i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 20.1643 | − | 34.9256i | 0.0223799 | − | 0.0387632i | ||||
\(902\) | 1478.30 | − | 260.663i | 1.63891 | − | 0.288984i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 275.532 | − | 100.285i | 0.304792 | − | 0.110935i | ||||
\(905\) | −79.6095 | − | 218.725i | −0.0879663 | − | 0.241685i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 295.268 | + | 1674.55i | 0.325544 | + | 1.84625i | 0.505825 | + | 0.862636i | \(0.331188\pi\) |
−0.180281 | + | 0.983615i | \(0.557701\pi\) | |||||||
\(908\) | −445.512 | − | 257.217i | −0.490652 | − | 0.283278i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −211.250 | − | 365.896i | −0.232143 | − | 0.402084i | ||||
\(911\) | 195.203 | + | 232.634i | 0.214273 | + | 0.255361i | 0.862466 | − | 0.506116i | \(-0.168919\pi\) |
−0.648192 | + | 0.761477i | \(0.724475\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −90.7453 | + | 514.642i | −0.0993924 | + | 0.563682i | ||||
\(914\) | 130.665 | − | 155.720i | 0.142959 | − | 0.170372i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 516.783 | + | 188.094i | 0.564173 | + | 0.205342i | ||||
\(917\) | 954.751i | 1.04117i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −682.579 | −0.742741 | −0.371370 | − | 0.928485i | \(-0.621112\pi\) | ||||
−0.371370 | + | 0.928485i | \(0.621112\pi\) | |||||||
\(920\) | −140.120 | + | 384.977i | −0.152305 | + | 0.418453i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −707.573 | − | 593.724i | −0.767432 | − | 0.643952i | ||||
\(923\) | 358.046 | + | 63.1332i | 0.387916 | + | 0.0684001i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 374.915 | − | 314.591i | 0.405314 | − | 0.340099i | ||||
\(926\) | −27.4623 | + | 15.8554i | −0.0296570 | + | 0.0171224i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 52.3292 | − | 90.6368i | 0.0563892 | − | 0.0976690i | ||||
\(929\) | 786.356 | − | 138.656i | 0.846454 | − | 0.149253i | 0.266432 | − | 0.963854i | \(-0.414155\pi\) |
0.580022 | + | 0.814601i | \(0.303044\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −100.805 | + | 36.6898i | −0.108276 | + | 0.0394091i | ||||
\(932\) | −176.384 | − | 484.612i | −0.189254 | − | 0.519970i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 117.205 | + | 664.704i | 0.125487 | + | 0.711674i | ||||
\(935\) | 243.810 | + | 140.764i | 0.260759 | + | 0.150549i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −386.927 | − | 670.176i | −0.412942 | − | 0.715236i | 0.582268 | − | 0.812997i | \(-0.302165\pi\) |
−0.995210 | + | 0.0977605i | \(0.968832\pi\) | |||||||
\(938\) | −786.094 | − | 936.830i | −0.838053 | − | 0.998753i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 26.4151 | − | 149.808i | 0.0281012 | − | 0.159370i | ||||
\(941\) | −838.349 | + | 999.106i | −0.890913 | + | 1.06175i | 0.106808 | + | 0.994280i | \(0.465937\pi\) |
−0.997721 | + | 0.0674693i | \(0.978508\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1164.44 | − | 423.822i | −1.23483 | − | 0.449440i | ||||
\(944\) | − | 263.625i | − | 0.279263i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1081.29 | −1.14301 | ||||||||
\(947\) | 282.223 | − | 775.402i | 0.298018 | − | 0.818799i | −0.696813 | − | 0.717253i | \(-0.745399\pi\) |
0.994831 | − | 0.101545i | \(-0.0323787\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 353.744 | + | 296.826i | 0.372754 | + | 0.312778i | ||||
\(950\) | 370.405 | + | 65.3125i | 0.389901 | + | 0.0687500i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −35.9305 | + | 30.1492i | −0.0377421 | + | 0.0316694i | ||||
\(953\) | −1058.27 | + | 610.995i | −1.11047 | + | 0.641128i | −0.938950 | − | 0.344054i | \(-0.888200\pi\) |
−0.171516 | + | 0.985181i | \(0.554866\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 594.817 | − | 1030.25i | 0.622846 | − | 1.07880i | ||||
\(956\) | −245.308 | + | 43.2544i | −0.256598 | + | 0.0452452i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 793.586 | − | 288.842i | 0.828378 | − | 0.301505i | ||||
\(959\) | 193.008 | + | 530.284i | 0.201259 | + | 0.552955i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −84.8726 | − | 481.336i | −0.0883169 | − | 0.500870i | ||||
\(962\) | 373.899 | + | 215.871i | 0.388669 | + | 0.224398i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 65.4473 | + | 113.358i | 0.0678914 | + | 0.117591i | ||||
\(965\) | −219.611 | − | 261.722i | −0.227576 | − | 0.271214i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −46.9384 | + | 266.201i | −0.0485403 | + | 0.275286i | −0.999412 | − | 0.0343010i | \(-0.989080\pi\) |
0.950871 | + | 0.309587i | \(0.100191\pi\) | |||||||
\(968\) | 558.867 | − | 666.032i | 0.577342 | − | 0.688049i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 322.047 | + | 117.215i | 0.332007 | + | 0.120841i | ||||
\(971\) | 1817.80i | 1.87209i | 0.351883 | + | 0.936044i | \(0.385542\pi\) | ||||
−0.351883 | + | 0.936044i | \(0.614458\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −780.879 | −0.802548 | ||||||||
\(974\) | −367.095 | + | 1008.59i | −0.376895 | + | 1.03551i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 129.375 | + | 108.559i | 0.132556 | + | 0.111228i | ||||
\(977\) | −1295.60 | − | 228.448i | −1.32610 | − | 0.233826i | −0.534654 | − | 0.845071i | \(-0.679558\pi\) |
−0.791442 | + | 0.611245i | \(0.790669\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 648.927 | − | 544.514i | 0.662847 | − | 0.556195i | ||||
\(980\) | 45.7843 | − | 26.4336i | 0.0467187 | − | 0.0269730i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 185.715 | − | 321.668i | 0.189119 | − | 0.327564i | ||||
\(983\) | −623.860 | + | 110.003i | −0.634649 | + | 0.111906i | −0.481711 | − | 0.876330i | \(-0.659984\pi\) |
−0.152938 | + | 0.988236i | \(0.548873\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −421.641 | + | 153.465i | −0.428062 | + | 0.155802i | ||||
\(986\) | 20.3058 | + | 55.7896i | 0.0205941 | + | 0.0565818i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 57.6157 | + | 326.755i | 0.0583155 | + | 0.330723i | ||||
\(989\) | 773.029 | + | 446.309i | 0.781627 | + | 0.451273i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 817.383 | + | 1415.75i | 0.824806 | + | 1.42861i | 0.902067 | + | 0.431595i | \(0.142049\pi\) |
−0.0772613 | + | 0.997011i | \(0.524618\pi\) | |||||||
\(992\) | −79.0175 | − | 94.1693i | −0.0796547 | − | 0.0949288i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −95.6811 | + | 542.635i | −0.0962587 | + | 0.545910i | ||||
\(995\) | 502.568 | − | 598.938i | 0.505094 | − | 0.601947i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 412.548 | + | 150.155i | 0.413789 | + | 0.150607i | 0.540522 | − | 0.841330i | \(-0.318227\pi\) |
−0.126733 | + | 0.991937i | \(0.540449\pi\) | |||||||
\(998\) | 128.585i | 0.128842i | ||||||||
\(999\) | 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 | 162.3.f.a.17.1 | 36 | ||
3.2 | odd | 2 | 54.3.f.a.23.5 | ✓ | 36 | ||
12.11 | even | 2 | 432.3.bc.c.401.2 | 36 | |||
27.7 | even | 9 | 54.3.f.a.47.5 | yes | 36 | ||
27.13 | even | 9 | 1458.3.b.c.1457.4 | 36 | |||
27.14 | odd | 18 | 1458.3.b.c.1457.33 | 36 | |||
27.20 | odd | 18 | inner | 162.3.f.a.143.1 | 36 | ||
108.7 | odd | 18 | 432.3.bc.c.209.2 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
54.3.f.a.23.5 | ✓ | 36 | 3.2 | odd | 2 | ||
54.3.f.a.47.5 | yes | 36 | 27.7 | even | 9 | ||
162.3.f.a.17.1 | 36 | 1.1 | even | 1 | trivial | ||
162.3.f.a.143.1 | 36 | 27.20 | odd | 18 | inner | ||
432.3.bc.c.209.2 | 36 | 108.7 | odd | 18 | |||
432.3.bc.c.401.2 | 36 | 12.11 | even | 2 | |||
1458.3.b.c.1457.4 | 36 | 27.13 | even | 9 | |||
1458.3.b.c.1457.33 | 36 | 27.14 | odd | 18 |