Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(53,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.ce (of order \(12\), degree \(4\), 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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 233.2 | ||
Character | \(\chi\) | \(=\) | 630.233 |
Dual form | 630.2.ce.c.557.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −1.30155 | + | 1.81823i | −0.582070 | + | 0.813138i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.634242 | + | 2.56861i | 0.239721 | + | 0.970842i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.786607 | − | 2.09314i | 0.248747 | − | 0.661910i | ||||
\(11\) | −4.28438 | + | 2.47359i | −1.29179 | + | 0.745816i | −0.978971 | − | 0.203997i | \(-0.934607\pi\) |
−0.312819 | + | 0.949813i | \(0.601273\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.34735 | − | 4.34735i | −1.20574 | − | 1.20574i | −0.972394 | − | 0.233344i | \(-0.925033\pi\) |
−0.233344 | − | 0.972394i | \(-0.574967\pi\) | |||||||
\(14\) | −1.27744 | − | 2.31693i | −0.341409 | − | 0.619225i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 1.13888 | − | 4.25035i | 0.276219 | − | 1.03086i | −0.678802 | − | 0.734322i | \(-0.737500\pi\) |
0.955020 | − | 0.296541i | \(-0.0958330\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.22874 | + | 1.86412i | 0.740725 | + | 0.427658i | 0.822333 | − | 0.569007i | \(-0.192672\pi\) |
−0.0816079 | + | 0.996665i | \(0.526006\pi\) | |||||||
\(20\) | −0.218058 | + | 2.22541i | −0.0487593 | + | 0.497617i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.49819 | − | 3.49819i | 0.745816 | − | 0.745816i | ||||
\(23\) | −0.503327 | − | 1.87844i | −0.104951 | − | 0.391682i | 0.893389 | − | 0.449284i | \(-0.148321\pi\) |
−0.998340 | + | 0.0576026i | \(0.981654\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.61194 | − | 4.73304i | −0.322388 | − | 0.946608i | ||||
\(26\) | 5.32440 | + | 3.07404i | 1.04420 | + | 0.602869i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.83357 | + | 1.90736i | 0.346513 | + | 0.360457i | ||||
\(29\) | −3.56555 | −0.662105 | −0.331053 | − | 0.943612i | \(-0.607404\pi\) | ||||
−0.331053 | + | 0.943612i | \(0.607404\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.272207 | − | 0.471476i | −0.0488898 | − | 0.0846796i | 0.840545 | − | 0.541742i | \(-0.182235\pi\) |
−0.889435 | + | 0.457062i | \(0.848902\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.40029i | 0.754644i | ||||||||
\(35\) | −5.49582 | − | 2.18997i | −0.928963 | − | 0.370172i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.435499 | + | 1.62530i | 0.0715955 | + | 0.267198i | 0.992440 | − | 0.122732i | \(-0.0391657\pi\) |
−0.920844 | + | 0.389931i | \(0.872499\pi\) | |||||||
\(38\) | −3.60120 | − | 0.964938i | −0.584191 | − | 0.156534i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.365351 | − | 2.20602i | −0.0577670 | − | 0.348802i | ||||
\(41\) | 0.268424i | 0.0419208i | 0.999780 | + | 0.0209604i | \(0.00667239\pi\) | ||||
−0.999780 | + | 0.0209604i | \(0.993328\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.39666 | − | 8.39666i | −1.28048 | − | 1.28048i | −0.940395 | − | 0.340084i | \(-0.889545\pi\) |
−0.340084 | − | 0.940395i | \(-0.610455\pi\) | |||||||
\(44\) | −2.47359 | + | 4.28438i | −0.372908 | + | 0.645895i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.972352 | + | 1.68416i | 0.143366 | + | 0.248316i | ||||
\(47\) | −0.896043 | + | 0.240094i | −0.130701 | + | 0.0350213i | −0.323577 | − | 0.946202i | \(-0.604885\pi\) |
0.192875 | + | 0.981223i | \(0.438219\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.19547 | + | 3.25824i | −0.885068 | + | 0.465462i | ||||
\(50\) | 2.78202 | + | 4.15456i | 0.393436 | + | 0.587544i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.93859 | − | 1.59124i | −0.823534 | − | 0.220665i | ||||
\(53\) | −7.70392 | − | 2.06426i | −1.05822 | − | 0.283548i | −0.312573 | − | 0.949894i | \(-0.601191\pi\) |
−0.745643 | + | 0.666346i | \(0.767857\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.07877 | − | 11.0095i | 0.145462 | − | 1.48452i | ||||
\(56\) | −2.26476 | − | 1.36780i | −0.302641 | − | 0.182780i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.44405 | − | 0.922831i | 0.452226 | − | 0.121174i | ||||
\(59\) | 4.90077 | + | 8.48838i | 0.638026 | + | 1.10509i | 0.985865 | + | 0.167539i | \(0.0535820\pi\) |
−0.347840 | + | 0.937554i | \(0.613085\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.71103 | + | 9.89179i | −0.731222 | + | 1.26651i | 0.225139 | + | 0.974327i | \(0.427716\pi\) |
−0.956361 | + | 0.292187i | \(0.905617\pi\) | |||||||
\(62\) | 0.384959 | + | 0.384959i | 0.0488898 | + | 0.0488898i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 13.5628 | − | 2.24621i | 1.68226 | − | 0.278607i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.0408482 | + | 0.0109452i | 0.00499040 | + | 0.00133717i | 0.261313 | − | 0.965254i | \(-0.415844\pi\) |
−0.256323 | + | 0.966591i | \(0.582511\pi\) | |||||||
\(68\) | −1.13888 | − | 4.25035i | −0.138109 | − | 0.515431i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.87536 | + | 0.692922i | 0.702240 | + | 0.0828200i | ||||
\(71\) | − | 16.3109i | − | 1.93574i | −0.251443 | − | 0.967872i | \(-0.580905\pi\) | ||
0.251443 | − | 0.967872i | \(-0.419095\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.25719 | + | 8.42396i | −0.264185 | + | 0.985950i | 0.698563 | + | 0.715548i | \(0.253823\pi\) |
−0.962748 | + | 0.270402i | \(0.912844\pi\) | |||||||
\(74\) | −0.841319 | − | 1.45721i | −0.0978013 | − | 0.169397i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.72823 | 0.427658 | ||||||||
\(77\) | −9.07102 | − | 9.43604i | −1.03374 | − | 1.07534i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.93305 | + | 4.00280i | 0.780029 | + | 0.450350i | 0.836440 | − | 0.548058i | \(-0.184633\pi\) |
−0.0564118 | + | 0.998408i | \(0.517966\pi\) | |||||||
\(80\) | 0.923861 | + | 2.03629i | 0.103291 | + | 0.227664i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.0694733 | − | 0.259278i | −0.00767204 | − | 0.0286324i | ||||
\(83\) | −1.30281 | + | 1.30281i | −0.143002 | + | 0.143002i | −0.774984 | − | 0.631981i | \(-0.782242\pi\) |
0.631981 | + | 0.774984i | \(0.282242\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.24583 | + | 7.60279i | 0.677455 | + | 0.824639i | ||||
\(86\) | 10.2838 | + | 5.93734i | 1.10893 | + | 0.640239i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.28042 | − | 4.77861i | 0.136494 | − | 0.509402i | ||||
\(89\) | −0.229324 | + | 0.397201i | −0.0243083 | + | 0.0421033i | −0.877924 | − | 0.478801i | \(-0.841072\pi\) |
0.853615 | + | 0.520904i | \(0.174405\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.40936 | − | 13.9239i | 0.881540 | − | 1.45962i | ||||
\(92\) | −1.37511 | − | 1.37511i | −0.143366 | − | 0.143366i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.803371 | − | 0.463826i | 0.0828613 | − | 0.0478400i | ||||
\(95\) | −7.59177 | + | 3.44437i | −0.778899 | + | 0.353385i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.6198 | + | 10.6198i | −1.07828 | + | 1.07828i | −0.0816181 | + | 0.996664i | \(0.526009\pi\) |
−0.996664 | + | 0.0816181i | \(0.973991\pi\) | |||||||
\(98\) | 5.14107 | − | 4.75072i | 0.519327 | − | 0.479895i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.76250 | − | 3.29296i | −0.376250 | − | 0.329296i | ||||
\(101\) | −4.33656 | + | 2.50371i | −0.431504 | + | 0.249129i | −0.699987 | − | 0.714156i | \(-0.746811\pi\) |
0.268483 | + | 0.963284i | \(0.413478\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −17.6855 | + | 4.73881i | −1.74260 | + | 0.466929i | −0.983022 | − | 0.183486i | \(-0.941262\pi\) |
−0.759579 | + | 0.650415i | \(0.774595\pi\) | |||||||
\(104\) | 6.14808 | 0.602869 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.97569 | 0.774667 | ||||||||
\(107\) | −3.76228 | + | 1.00810i | −0.363714 | + | 0.0974568i | −0.436047 | − | 0.899924i | \(-0.643622\pi\) |
0.0723338 | + | 0.997380i | \(0.476955\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.47396 | + | 4.31509i | −0.715875 | + | 0.413311i | −0.813233 | − | 0.581939i | \(-0.802294\pi\) |
0.0973573 | + | 0.995249i | \(0.468961\pi\) | |||||||
\(110\) | 1.80746 | + | 10.9136i | 0.172334 | + | 1.04057i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.54160 | + | 0.735033i | 0.240159 | + | 0.0694541i | ||||
\(113\) | 13.9091 | − | 13.9091i | 1.30845 | − | 1.30845i | 0.385925 | − | 0.922530i | \(-0.373882\pi\) |
0.922530 | − | 0.385925i | \(-0.126118\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.07055 | + | 1.52972i | 0.379580 | + | 0.142647i | ||||
\(116\) | −3.08785 | + | 1.78277i | −0.286700 | + | 0.165526i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.93073 | − | 6.93073i | −0.638026 | − | 0.638026i | ||||
\(119\) | 11.6398 | + | 0.229577i | 1.06702 | + | 0.0210453i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.73730 | − | 11.6693i | 0.612482 | − | 1.06085i | ||||
\(122\) | 2.95625 | − | 11.0329i | 0.267646 | − | 0.998868i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.471476 | − | 0.272207i | −0.0423398 | − | 0.0244449i | ||||
\(125\) | 10.7038 | + | 3.22940i | 0.957376 | + | 0.288846i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.200145 | + | 0.200145i | −0.0177600 | + | 0.0177600i | −0.715931 | − | 0.698171i | \(-0.753998\pi\) |
0.698171 | + | 0.715931i | \(0.253998\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −12.5193 | + | 5.67997i | −1.09801 | + | 0.498167i | ||||
\(131\) | 13.5876 | + | 7.84483i | 1.18716 | + | 0.685406i | 0.957660 | − | 0.287903i | \(-0.0929581\pi\) |
0.229498 | + | 0.973309i | \(0.426291\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.74038 | + | 9.47568i | −0.237621 | + | 0.821645i | ||||
\(134\) | −0.0422892 | −0.00365323 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.20015 | + | 3.81076i | 0.188661 | + | 0.326770i | ||||
\(137\) | −0.655217 | + | 2.44530i | −0.0559789 | + | 0.208916i | −0.988250 | − | 0.152843i | \(-0.951157\pi\) |
0.932272 | + | 0.361759i | \(0.117824\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.80784i | 0.238158i | 0.992885 | + | 0.119079i | \(0.0379942\pi\) | ||||
−0.992885 | + | 0.119079i | \(0.962006\pi\) | |||||||
\(140\) | −5.85450 | + | 0.851344i | −0.494796 | + | 0.0719517i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 4.22156 | + | 15.7551i | 0.354266 | + | 1.32214i | ||||
\(143\) | 29.3793 | + | 7.87216i | 2.45682 | + | 0.658303i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.64073 | − | 6.48299i | 0.385392 | − | 0.538383i | ||||
\(146\) | − | 8.72113i | − | 0.721766i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.18980 | + | 1.18980i | 0.0978013 | + | 0.0978013i | ||||
\(149\) | −9.80410 | + | 16.9812i | −0.803184 | + | 1.39115i | 0.114327 | + | 0.993443i | \(0.463529\pi\) |
−0.917510 | + | 0.397712i | \(0.869804\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.25264 | + | 2.16964i | 0.101939 | + | 0.176563i | 0.912483 | − | 0.409114i | \(-0.134162\pi\) |
−0.810545 | + | 0.585677i | \(0.800829\pi\) | |||||||
\(152\) | −3.60120 | + | 0.964938i | −0.292096 | + | 0.0782668i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 11.2042 | + | 6.76676i | 0.902857 | + | 0.545281i | ||||
\(155\) | 1.21154 | + | 0.118714i | 0.0973136 | + | 0.00953533i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 18.8678 | + | 5.05560i | 1.50581 | + | 0.403481i | 0.915042 | − | 0.403360i | \(-0.132158\pi\) |
0.590770 | + | 0.806840i | \(0.298824\pi\) | |||||||
\(158\) | −7.73281 | − | 2.07200i | −0.615189 | − | 0.164839i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.41941 | − | 1.72779i | −0.112214 | − | 0.136594i | ||||
\(161\) | 4.50574 | − | 2.48423i | 0.355102 | − | 0.195785i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.0358904 | + | 0.00961679i | −0.00281115 | + | 0.000753245i | −0.260224 | − | 0.965548i | \(-0.583797\pi\) |
0.257413 | + | 0.966301i | \(0.417130\pi\) | |||||||
\(164\) | 0.134212 | + | 0.232462i | 0.0104802 | + | 0.0181522i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.921227 | − | 1.59561i | 0.0715011 | − | 0.123844i | ||||
\(167\) | 9.26150 | + | 9.26150i | 0.716676 | + | 0.716676i | 0.967923 | − | 0.251247i | \(-0.0808405\pi\) |
−0.251247 | + | 0.967923i | \(0.580841\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 24.7989i | 1.90761i | ||||||||
\(170\) | −8.00075 | − | 5.72719i | −0.613630 | − | 0.439256i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −11.4701 | − | 3.07339i | −0.874583 | − | 0.234344i | ||||
\(173\) | −0.189420 | − | 0.706925i | −0.0144013 | − | 0.0537465i | 0.958351 | − | 0.285592i | \(-0.0921903\pi\) |
−0.972753 | + | 0.231846i | \(0.925524\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.1349 | − | 7.14233i | 0.841723 | − | 0.539910i | ||||
\(176\) | 4.94718i | 0.372908i | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.118707 | − | 0.443021i | 0.00889747 | − | 0.0332058i | ||||
\(179\) | 3.20263 | + | 5.54712i | 0.239376 | + | 0.414611i | 0.960535 | − | 0.278158i | \(-0.0897238\pi\) |
−0.721159 | + | 0.692769i | \(0.756390\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.70196 | −0.646812 | −0.323406 | − | 0.946260i | \(-0.604828\pi\) | ||||
−0.323406 | + | 0.946260i | \(0.604828\pi\) | |||||||
\(182\) | −4.51904 | + | 15.6260i | −0.334974 | + | 1.15827i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.68416 | + | 0.972352i | 0.124158 | + | 0.0716828i | ||||
\(185\) | −3.52200 | − | 1.32357i | −0.258943 | − | 0.0973111i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.63424 | + | 21.0273i | 0.412016 | + | 1.53767i | ||||
\(188\) | −0.655949 | + | 0.655949i | −0.0478400 | + | 0.0478400i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.44162 | − | 5.29190i | 0.467324 | − | 0.383915i | ||||
\(191\) | −6.91128 | − | 3.99023i | −0.500083 | − | 0.288723i | 0.228665 | − | 0.973505i | \(-0.426564\pi\) |
−0.728748 | + | 0.684782i | \(0.759897\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.04593 | − | 18.8317i | 0.363214 | − | 1.35553i | −0.506612 | − | 0.862174i | \(-0.669102\pi\) |
0.869826 | − | 0.493358i | \(-0.164231\pi\) | |||||||
\(194\) | 7.50936 | − | 13.0066i | 0.539141 | − | 0.933819i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.73632 | + | 5.91945i | −0.266880 | + | 0.422818i | ||||
\(197\) | −10.0960 | − | 10.0960i | −0.719312 | − | 0.719312i | 0.249153 | − | 0.968464i | \(-0.419848\pi\) |
−0.968464 | + | 0.249153i | \(0.919848\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.0002 | − | 6.35098i | 0.779785 | − | 0.450209i | −0.0565691 | − | 0.998399i | \(-0.518016\pi\) |
0.836354 | + | 0.548190i | \(0.184683\pi\) | |||||||
\(200\) | 4.48658 | + | 2.20695i | 0.317249 | + | 0.156055i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.54078 | − | 3.54078i | 0.249129 | − | 0.249129i | ||||
\(203\) | −2.26142 | − | 9.15848i | −0.158721 | − | 0.642800i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.488058 | − | 0.349367i | −0.0340874 | − | 0.0244009i | ||||
\(206\) | 15.8564 | − | 9.15468i | 1.10477 | − | 0.637837i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.93859 | + | 1.59124i | −0.411767 | + | 0.110333i | ||||
\(209\) | −18.4442 | −1.27582 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 18.8900 | 1.30044 | 0.650220 | − | 0.759746i | \(-0.274677\pi\) | ||||
0.650220 | + | 0.759746i | \(0.274677\pi\) | |||||||
\(212\) | −7.70392 | + | 2.06426i | −0.529108 | + | 0.141774i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.37317 | − | 1.94750i | 0.230585 | − | 0.133128i | ||||
\(215\) | 26.1957 | − | 4.33842i | 1.78654 | − | 0.295878i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.03839 | − | 0.998223i | 0.0704906 | − | 0.0677638i | ||||
\(218\) | 6.10246 | − | 6.10246i | 0.413311 | − | 0.413311i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.57051 | − | 10.0739i | −0.308144 | − | 0.679182i | ||||
\(221\) | −23.4289 | + | 13.5267i | −1.57600 | + | 0.909903i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.93799 | + | 2.93799i | 0.196743 | + | 0.196743i | 0.798602 | − | 0.601859i | \(-0.205573\pi\) |
−0.601859 | + | 0.798602i | \(0.705573\pi\) | |||||||
\(224\) | −2.64524 | − | 0.0521732i | −0.176742 | − | 0.00348597i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −9.83520 | + | 17.0351i | −0.654227 | + | 1.13316i | ||||
\(227\) | 0.230907 | − | 0.861758i | 0.0153259 | − | 0.0571969i | −0.957839 | − | 0.287304i | \(-0.907241\pi\) |
0.973165 | + | 0.230107i | \(0.0739077\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.8423 | − | 10.3013i | −1.17905 | − | 0.680728i | −0.223259 | − | 0.974759i | \(-0.571670\pi\) |
−0.955796 | + | 0.294032i | \(0.905003\pi\) | |||||||
\(230\) | −4.32777 | − | 0.424059i | −0.285364 | − | 0.0279616i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.52122 | − | 2.52122i | 0.165526 | − | 0.165526i | ||||
\(233\) | 1.24718 | + | 4.65452i | 0.0817052 | + | 0.304928i | 0.994670 | − | 0.103111i | \(-0.0328796\pi\) |
−0.912965 | + | 0.408038i | \(0.866213\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.729697 | − | 1.94171i | 0.0476002 | − | 0.126663i | ||||
\(236\) | 8.48838 | + | 4.90077i | 0.552547 | + | 0.319013i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −11.3026 | + | 2.79085i | −0.732640 | + | 0.180904i | ||||
\(239\) | −15.7251 | −1.01717 | −0.508585 | − | 0.861012i | \(-0.669831\pi\) | ||||
−0.508585 | + | 0.861012i | \(0.669831\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.64485 | − | 6.31306i | −0.234785 | − | 0.406660i | 0.724425 | − | 0.689354i | \(-0.242105\pi\) |
−0.959210 | + | 0.282693i | \(0.908772\pi\) | |||||||
\(242\) | −3.48748 | + | 13.0155i | −0.224184 | + | 0.836666i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 11.4221i | 0.731222i | ||||||||
\(245\) | 2.13948 | − | 15.5056i | 0.136686 | − | 0.990614i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.93252 | − | 22.1405i | −0.377477 | − | 1.40876i | ||||
\(248\) | 0.525863 | + | 0.140905i | 0.0333924 | + | 0.00894746i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −11.1749 | − | 0.349016i | −0.706762 | − | 0.0220737i | ||||
\(251\) | 8.22912i | 0.519418i | 0.965687 | + | 0.259709i | \(0.0836266\pi\) | ||||
−0.965687 | + | 0.259709i | \(0.916373\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.80294 | + | 6.80294i | 0.427697 | + | 0.427697i | ||||
\(254\) | 0.141524 | − | 0.245127i | 0.00888001 | − | 0.0153806i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −1.26082 | + | 0.337836i | −0.0786479 | + | 0.0210736i | −0.297928 | − | 0.954588i | \(-0.596296\pi\) |
0.219281 | + | 0.975662i | \(0.429629\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.89855 | + | 2.14946i | −0.242244 | + | 0.133561i | ||||
\(260\) | 10.6226 | − | 8.72666i | 0.658787 | − | 0.541205i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −15.1550 | − | 4.06078i | −0.936282 | − | 0.250876i | ||||
\(263\) | −14.2693 | − | 3.82344i | −0.879881 | − | 0.235763i | −0.209525 | − | 0.977803i | \(-0.567192\pi\) |
−0.670356 | + | 0.742040i | \(0.733859\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 13.7803 | − | 11.3208i | 0.846520 | − | 0.695431i | ||||
\(266\) | 0.194514 | − | 9.86206i | 0.0119264 | − | 0.604682i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.0408482 | − | 0.0109452i | 0.00249520 | − | 0.000668587i | ||||
\(269\) | −10.5069 | − | 18.1984i | −0.640615 | − | 1.10958i | −0.985296 | − | 0.170858i | \(-0.945346\pi\) |
0.344680 | − | 0.938720i | \(-0.387987\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.95098 | − | 8.57534i | 0.300750 | − | 0.520915i | −0.675556 | − | 0.737309i | \(-0.736096\pi\) |
0.976306 | + | 0.216394i | \(0.0694296\pi\) | |||||||
\(272\) | −3.11148 | − | 3.11148i | −0.188661 | − | 0.188661i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 2.53156i | − | 0.152937i | ||||||
\(275\) | 18.6138 | + | 16.2909i | 1.12245 | + | 0.982377i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −20.0261 | − | 5.36596i | −1.20325 | − | 0.322410i | −0.399139 | − | 0.916890i | \(-0.630691\pi\) |
−0.804110 | + | 0.594481i | \(0.797358\pi\) | |||||||
\(278\) | −0.726722 | − | 2.71217i | −0.0435859 | − | 0.162665i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 5.43467 | − | 2.33759i | 0.324784 | − | 0.139698i | ||||
\(281\) | 24.6495i | 1.47046i | 0.677816 | + | 0.735232i | \(0.262927\pi\) | ||||
−0.677816 | + | 0.735232i | \(0.737073\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.42821 | − | 5.33016i | 0.0848985 | − | 0.316845i | −0.910396 | − | 0.413737i | \(-0.864223\pi\) |
0.995295 | + | 0.0968916i | \(0.0308900\pi\) | |||||||
\(284\) | −8.15543 | − | 14.1256i | −0.483936 | − | 0.838202i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −30.4157 | −1.79852 | ||||||||
\(287\) | −0.689476 | + | 0.170246i | −0.0406985 | + | 0.0100493i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.04603 | − | 1.18128i | −0.120355 | − | 0.0694870i | ||||
\(290\) | −2.80468 | + | 7.46320i | −0.164697 | + | 0.438254i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.25719 | + | 8.42396i | 0.132092 | + | 0.492975i | ||||
\(293\) | −13.1648 | + | 13.1648i | −0.769096 | + | 0.769096i | −0.977947 | − | 0.208851i | \(-0.933028\pi\) |
0.208851 | + | 0.977947i | \(0.433028\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −21.8124 | − | 2.13731i | −1.26997 | − | 0.124439i | ||||
\(296\) | −1.45721 | − | 0.841319i | −0.0846984 | − | 0.0489007i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.07498 | − | 18.9401i | 0.293986 | − | 1.09717i | ||||
\(299\) | −5.97810 | + | 10.3544i | −0.345723 | + | 0.598809i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.2422 | − | 26.8932i | 0.936185 | − | 1.55010i | ||||
\(302\) | −1.77151 | − | 1.77151i | −0.101939 | − | 0.101939i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.22874 | − | 1.86412i | 0.185181 | − | 0.106914i | ||||
\(305\) | −10.5524 | − | 23.2586i | −0.604228 | − | 1.33178i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.9282 | − | 16.9282i | 0.966145 | − | 0.966145i | −0.0333006 | − | 0.999445i | \(-0.510602\pi\) |
0.999445 | + | 0.0333006i | \(0.0106019\pi\) | |||||||
\(308\) | −12.5738 | − | 3.63634i | −0.716456 | − | 0.207200i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.20099 | + | 0.198902i | −0.0682115 | + | 0.0112969i | ||||
\(311\) | −23.6318 | + | 13.6438i | −1.34004 | + | 0.773671i | −0.986812 | − | 0.161868i | \(-0.948248\pi\) |
−0.353225 | + | 0.935539i | \(0.614915\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.18228 | + | 1.92449i | −0.405967 | + | 0.108778i | −0.456023 | − | 0.889968i | \(-0.650727\pi\) |
0.0500564 | + | 0.998746i | \(0.484060\pi\) | |||||||
\(314\) | −19.5333 | −1.10233 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.00559 | 0.450350 | ||||||||
\(317\) | 30.1869 | − | 8.08855i | 1.69546 | − | 0.454298i | 0.723673 | − | 0.690143i | \(-0.242452\pi\) |
0.971791 | + | 0.235845i | \(0.0757857\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 15.2762 | − | 8.81970i | 0.855302 | − | 0.493809i | ||||
\(320\) | 1.81823 | + | 1.30155i | 0.101642 | + | 0.0727588i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.70925 | + | 3.56576i | −0.206708 | + | 0.198712i | ||||
\(323\) | 11.6003 | − | 11.6003i | 0.645458 | − | 0.645458i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.5685 | + | 27.5838i | −0.752645 | + | 1.53008i | ||||
\(326\) | 0.0321784 | − | 0.0185782i | 0.00178220 | − | 0.00102895i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.189805 | − | 0.189805i | −0.0104802 | − | 0.0104802i | ||||
\(329\) | −1.18502 | − | 2.14930i | −0.0653320 | − | 0.118495i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.38534 | + | 9.32768i | −0.296005 | + | 0.512696i | −0.975218 | − | 0.221245i | \(-0.928988\pi\) |
0.679213 | + | 0.733941i | \(0.262321\pi\) | |||||||
\(332\) | −0.476862 | + | 1.77967i | −0.0261712 | + | 0.0976723i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −11.3430 | − | 6.54887i | −0.620660 | − | 0.358338i | ||||
\(335\) | −0.0730669 | + | 0.0600258i | −0.00399207 | + | 0.00327956i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −21.8140 | + | 21.8140i | −1.18828 | + | 1.18828i | −0.210740 | + | 0.977542i | \(0.567587\pi\) |
−0.977542 | + | 0.210740i | \(0.932413\pi\) | |||||||
\(338\) | −6.41843 | − | 23.9539i | −0.349117 | − | 1.30292i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 9.21044 | + | 3.46130i | 0.499506 | + | 0.187715i | ||||
\(341\) | 2.33248 | + | 1.34666i | 0.126311 | + | 0.0729256i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.2986 | − | 13.8472i | −0.664060 | − | 0.747680i | ||||
\(344\) | 11.8747 | 0.640239 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.365931 | + | 0.633812i | 0.0196726 | + | 0.0340739i | ||||
\(347\) | −1.59346 | + | 5.94688i | −0.0855415 | + | 0.319245i | −0.995416 | − | 0.0956379i | \(-0.969511\pi\) |
0.909875 | + | 0.414883i | \(0.136178\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 0.197242i | − | 0.0105581i | −0.999986 | − | 0.00527907i | \(-0.998320\pi\) | ||
0.999986 | − | 0.00527907i | \(-0.00168039\pi\) | |||||||
\(350\) | −8.90696 | + | 9.78090i | −0.476097 | + | 0.522811i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.28042 | − | 4.77861i | −0.0682469 | − | 0.254701i | ||||
\(353\) | −9.86759 | − | 2.64401i | −0.525199 | − | 0.140727i | −0.0135287 | − | 0.999908i | \(-0.504306\pi\) |
−0.511670 | + | 0.859182i | \(0.670973\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 29.6570 | + | 21.2294i | 1.57403 | + | 1.12674i | ||||
\(356\) | 0.458649i | 0.0243083i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.52921 | − | 4.52921i | −0.239376 | − | 0.239376i | ||||
\(359\) | 7.63203 | − | 13.2191i | 0.402803 | − | 0.697676i | −0.591260 | − | 0.806481i | \(-0.701369\pi\) |
0.994063 | + | 0.108805i | \(0.0347026\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.55014 | − | 4.41697i | −0.134218 | − | 0.232472i | ||||
\(362\) | 8.40545 | − | 2.25223i | 0.441781 | − | 0.118375i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.320765 | − | 16.2631i | 0.0168127 | − | 0.852420i | ||||
\(365\) | −12.3789 | − | 15.0683i | −0.647940 | − | 0.788711i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 22.9216 | + | 6.14181i | 1.19650 | + | 0.320600i | 0.801450 | − | 0.598062i | \(-0.204062\pi\) |
0.395045 | + | 0.918662i | \(0.370729\pi\) | |||||||
\(368\) | −1.87844 | − | 0.503327i | −0.0979205 | − | 0.0262377i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.74456 | + | 0.366913i | 0.194670 | + | 0.0190749i | ||||
\(371\) | 0.416117 | − | 21.0976i | 0.0216037 | − | 1.09533i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.9820 | + | 4.81825i | −0.931071 | + | 0.249480i | −0.692311 | − | 0.721599i | \(-0.743407\pi\) |
−0.238760 | + | 0.971079i | \(0.576741\pi\) | |||||||
\(374\) | −10.8845 | − | 18.8525i | −0.562825 | − | 0.974841i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.463826 | − | 0.803371i | 0.0239200 | − | 0.0414307i | ||||
\(377\) | 15.5007 | + | 15.5007i | 0.798326 | + | 0.798326i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 34.8805i | − | 1.79169i | −0.444367 | − | 0.895845i | \(-0.646571\pi\) | ||
0.444367 | − | 0.895845i | \(-0.353429\pi\) | |||||||
\(380\) | −4.85248 | + | 6.77880i | −0.248927 | + | 0.347745i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 7.70853 | + | 2.06549i | 0.394403 | + | 0.105680i | ||||
\(383\) | 8.04661 | + | 30.0303i | 0.411162 | + | 1.53448i | 0.792400 | + | 0.610002i | \(0.208831\pi\) |
−0.381238 | + | 0.924477i | \(0.624502\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 28.9633 | − | 4.21175i | 1.47611 | − | 0.214651i | ||||
\(386\) | 19.4960i | 0.992319i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.88713 | + | 14.5070i | −0.197339 | + | 0.736480i | ||||
\(389\) | 9.96369 | + | 17.2576i | 0.505179 | + | 0.874996i | 0.999982 | + | 0.00599092i | \(0.00190698\pi\) |
−0.494803 | + | 0.869005i | \(0.664760\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8.55726 | −0.432759 | ||||||||
\(392\) | 2.07694 | − | 6.68478i | 0.104901 | − | 0.337633i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 12.3651 | + | 7.13897i | 0.622942 | + | 0.359656i | ||||
\(395\) | −16.3017 | + | 7.39606i | −0.820228 | + | 0.372136i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.35189 | + | 12.5094i | 0.168227 | + | 0.627831i | 0.997607 | + | 0.0691456i | \(0.0220273\pi\) |
−0.829380 | + | 0.558685i | \(0.811306\pi\) | |||||||
\(398\) | −8.98164 | + | 8.98164i | −0.450209 | + | 0.450209i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.90490 | − | 0.970538i | −0.245245 | − | 0.0485269i | ||||
\(401\) | 1.57729 | + | 0.910650i | 0.0787662 | + | 0.0454757i | 0.538866 | − | 0.842392i | \(-0.318853\pi\) |
−0.460100 | + | 0.887867i | \(0.652186\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.866294 | + | 3.23305i | −0.0431532 | + | 0.161050i | ||||
\(404\) | −2.50371 | + | 4.33656i | −0.124564 | + | 0.215752i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.55475 | + | 8.26112i | 0.226049 | + | 0.409992i | ||||
\(407\) | −5.88618 | − | 5.88618i | −0.291767 | − | 0.291767i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.8771 | − | 10.3214i | 0.883967 | − | 0.510359i | 0.0120026 | − | 0.999928i | \(-0.496179\pi\) |
0.871964 | + | 0.489569i | \(0.162846\pi\) | |||||||
\(410\) | 0.561850 | + | 0.211144i | 0.0277478 | + | 0.0104277i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −12.9467 | + | 12.9467i | −0.637837 | + | 0.637837i | ||||
\(413\) | −18.6950 | + | 17.9718i | −0.919922 | + | 0.884336i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.673142 | − | 4.06449i | −0.0330432 | − | 0.199518i | ||||
\(416\) | 5.32440 | − | 3.07404i | 0.261050 | − | 0.150717i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 17.8158 | − | 4.77372i | 0.871398 | − | 0.233490i | ||||
\(419\) | 12.8948 | 0.629954 | 0.314977 | − | 0.949099i | \(-0.398003\pi\) | ||||
0.314977 | + | 0.949099i | \(0.398003\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −16.9311 | −0.825170 | −0.412585 | − | 0.910919i | \(-0.635374\pi\) | ||||
−0.412585 | + | 0.910919i | \(0.635374\pi\) | |||||||
\(422\) | −18.2463 | + | 4.88909i | −0.888217 | + | 0.237997i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.90715 | − | 3.98784i | 0.335441 | − | 0.193667i | ||||
\(425\) | −21.9529 | + | 1.46096i | −1.06487 | + | 0.0708670i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −29.0303 | − | 8.39559i | −1.40487 | − | 0.406291i | ||||
\(428\) | −2.75418 | + | 2.75418i | −0.133128 | + | 0.133128i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −24.1803 | + | 10.9705i | −1.16608 | + | 0.529047i | ||||
\(431\) | −25.7429 | + | 14.8627i | −1.23999 | + | 0.715910i | −0.969093 | − | 0.246697i | \(-0.920655\pi\) |
−0.270901 | + | 0.962607i | \(0.587321\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 20.0190 | + | 20.0190i | 0.962052 | + | 0.962052i | 0.999306 | − | 0.0372534i | \(-0.0118609\pi\) |
−0.0372534 | + | 0.999306i | \(0.511861\pi\) | |||||||
\(434\) | −0.744650 | + | 1.23296i | −0.0357444 | + | 0.0591842i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.31509 | + | 7.47396i | −0.206655 | + | 0.357938i | ||||
\(437\) | 1.87652 | − | 7.00326i | 0.0897661 | − | 0.335012i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.54137 | + | 3.19931i | 0.264475 | + | 0.152695i | 0.626374 | − | 0.779522i | \(-0.284538\pi\) |
−0.361899 | + | 0.932217i | \(0.617872\pi\) | |||||||
\(440\) | 7.02209 | + | 8.54771i | 0.334765 | + | 0.407496i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 19.1296 | − | 19.1296i | 0.909903 | − | 0.909903i | ||||
\(443\) | −0.0878959 | − | 0.328032i | −0.00417606 | − | 0.0155853i | 0.963806 | − | 0.266603i | \(-0.0859013\pi\) |
−0.967982 | + | 0.251018i | \(0.919235\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.423728 | − | 0.933942i | −0.0200866 | − | 0.0442731i | ||||
\(446\) | −3.59829 | − | 2.07747i | −0.170384 | − | 0.0983713i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.56861 | − | 0.634242i | 0.121355 | − | 0.0299651i | ||||
\(449\) | −11.8831 | −0.560800 | −0.280400 | − | 0.959883i | \(-0.590467\pi\) | ||||
−0.280400 | + | 0.959883i | \(0.590467\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.663971 | − | 1.15003i | −0.0312652 | − | 0.0541529i | ||||
\(452\) | 5.09107 | − | 19.0001i | 0.239464 | − | 0.893691i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.892157i | 0.0418710i | ||||||||
\(455\) | 14.3717 | + | 33.4128i | 0.673756 | + | 1.56642i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.21904 | − | 19.4777i | −0.244136 | − | 0.911129i | −0.973816 | − | 0.227340i | \(-0.926997\pi\) |
0.729679 | − | 0.683790i | \(-0.239669\pi\) | |||||||
\(458\) | 19.9005 | + | 5.33233i | 0.929891 | + | 0.249164i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.29005 | − | 0.710499i | 0.200025 | − | 0.0331272i | ||||
\(461\) | − | 19.5952i | − | 0.912638i | −0.889816 | − | 0.456319i | \(-0.849168\pi\) | ||
0.889816 | − | 0.456319i | \(-0.150832\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.2239 | + | 19.2239i | 0.893411 | + | 0.893411i | 0.994843 | − | 0.101432i | \(-0.0323423\pi\) |
−0.101432 | + | 0.994843i | \(0.532342\pi\) | |||||||
\(464\) | −1.78277 | + | 3.08785i | −0.0827632 | + | 0.143350i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.40936 | − | 4.17313i | −0.111611 | − | 0.193316i | ||||
\(467\) | −29.2306 | + | 7.83232i | −1.35263 | + | 0.362437i | −0.861105 | − | 0.508426i | \(-0.830227\pi\) |
−0.491526 | + | 0.870863i | \(0.663561\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.00220636 | + | 0.111865i | −0.000101880 | + | 0.00516544i | ||||
\(470\) | −0.202282 | + | 2.06441i | −0.00933058 | + | 0.0952240i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.46756 | − | 2.53682i | −0.435780 | − | 0.116767i | ||||
\(473\) | 56.7444 | + | 15.2046i | 2.60911 | + | 0.699109i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.61839 | − | 18.2866i | 0.166023 | − | 0.839048i | ||||
\(476\) | 10.1952 | − | 5.62109i | 0.467294 | − | 0.257642i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 15.1892 | − | 4.06995i | 0.694740 | − | 0.186155i | ||||
\(479\) | −0.818104 | − | 1.41700i | −0.0373801 | − | 0.0647443i | 0.846730 | − | 0.532023i | \(-0.178568\pi\) |
−0.884110 | + | 0.467278i | \(0.845235\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.17250 | − | 8.95903i | 0.235846 | − | 0.408497i | ||||
\(482\) | 5.15460 | + | 5.15460i | 0.234785 | + | 0.234785i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 13.4746i | − | 0.612482i | ||||||
\(485\) | −5.48710 | − | 33.1316i | −0.249156 | − | 1.50443i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.96906 | + | 1.86735i | 0.315798 | + | 0.0846178i | 0.413237 | − | 0.910624i | \(-0.364398\pi\) |
−0.0974385 | + | 0.995242i | \(0.531065\pi\) | |||||||
\(488\) | −2.95625 | − | 11.0329i | −0.133823 | − | 0.499434i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.94656 | + | 15.5310i | 0.0879365 | + | 0.701618i | ||||
\(491\) | − | 23.4235i | − | 1.05709i | −0.848907 | − | 0.528543i | \(-0.822739\pi\) | ||
0.848907 | − | 0.528543i | \(-0.177261\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.06073 | + | 15.1548i | −0.182886 | + | 0.682540i | ||||
\(494\) | 11.4607 | + | 19.8506i | 0.515643 | + | 0.893120i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.544414 | −0.0244449 | ||||||||
\(497\) | 41.8962 | − | 10.3450i | 1.87930 | − | 0.464039i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −25.5933 | − | 14.7763i | −1.14571 | − | 0.661477i | −0.197873 | − | 0.980228i | \(-0.563403\pi\) |
−0.947838 | + | 0.318751i | \(0.896737\pi\) | |||||||
\(500\) | 10.8844 | − | 2.55515i | 0.486767 | − | 0.114270i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.12985 | − | 7.94872i | −0.0950600 | − | 0.354769i | ||||
\(503\) | −16.6368 | + | 16.6368i | −0.741797 | + | 0.741797i | −0.972924 | − | 0.231127i | \(-0.925759\pi\) |
0.231127 | + | 0.972924i | \(0.425759\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.09191 | − | 11.1436i | 0.0485893 | − | 0.495883i | ||||
\(506\) | −8.33186 | − | 4.81040i | −0.370396 | − | 0.213848i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.0732583 | + | 0.273404i | −0.00325031 | + | 0.0121303i | ||||
\(509\) | 4.84247 | − | 8.38740i | 0.214639 | − | 0.371765i | −0.738522 | − | 0.674229i | \(-0.764476\pi\) |
0.953161 | + | 0.302464i | \(0.0978093\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −23.0694 | − | 0.455009i | −1.02053 | − | 0.0201284i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.13042 | − | 0.652649i | 0.0498608 | − | 0.0287871i | ||||
\(515\) | 14.4023 | − | 38.3241i | 0.634639 | − | 1.68876i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.24510 | − | 3.24510i | 0.142719 | − | 0.142719i | ||||
\(518\) | 3.20939 | − | 3.08524i | 0.141013 | − | 0.135558i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −8.00203 | + | 11.1786i | −0.350912 | + | 0.490216i | ||||
\(521\) | 18.3916 | − | 10.6184i | 0.805750 | − | 0.465200i | −0.0397281 | − | 0.999211i | \(-0.512649\pi\) |
0.845478 | + | 0.534011i | \(0.179316\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.212531 | + | 0.0569475i | −0.00929332 | + | 0.00249014i | −0.263463 | − | 0.964670i | \(-0.584865\pi\) |
0.254169 | + | 0.967160i | \(0.418198\pi\) | |||||||
\(524\) | 15.6897 | 0.685406 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 14.7726 | 0.644118 | ||||||||
\(527\) | −2.31395 | + | 0.620022i | −0.100797 | + | 0.0270086i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 16.6434 | − | 9.60906i | 0.723625 | − | 0.417785i | ||||
\(530\) | −10.3808 | + | 14.5017i | −0.450911 | + | 0.629912i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.36460 | + | 9.57636i | 0.102519 | + | 0.415188i | ||||
\(533\) | 1.16693 | − | 1.16693i | 0.0505455 | − | 0.0505455i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.06383 | − | 8.15280i | 0.132461 | − | 0.352476i | ||||
\(536\) | −0.0366235 | + | 0.0211446i | −0.00158189 | + | 0.000913307i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 14.8590 | + | 14.8590i | 0.640615 | + | 0.640615i | ||||
\(539\) | 18.4842 | − | 29.2846i | 0.796173 | − | 1.26138i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.0652 | + | 36.4861i | −0.905666 | + | 1.56866i | −0.0856442 | + | 0.996326i | \(0.527295\pi\) |
−0.820021 | + | 0.572333i | \(0.806038\pi\) | |||||||
\(542\) | −2.56281 | + | 9.56455i | −0.110082 | + | 0.410833i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.81076 | + | 2.20015i | 0.163385 | + | 0.0943305i | ||||
\(545\) | 1.88188 | − | 19.2057i | 0.0806110 | − | 0.822682i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.6450 | − | 10.6450i | 0.455147 | − | 0.455147i | −0.441911 | − | 0.897059i | \(-0.645699\pi\) |
0.897059 | + | 0.441911i | \(0.145699\pi\) | |||||||
\(548\) | 0.655217 | + | 2.44530i | 0.0279895 | + | 0.104458i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −22.1959 | − | 10.9182i | −0.946437 | − | 0.465553i | ||||
\(551\) | −11.5122 | − | 6.64660i | −0.490438 | − | 0.283154i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.88438 | + | 20.3470i | −0.250229 | + | 0.865243i | ||||
\(554\) | 20.7325 | 0.880839 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.40392 | + | 2.43166i | 0.0595395 | + | 0.103125i | ||||
\(557\) | −8.14696 | + | 30.4049i | −0.345198 | + | 1.28830i | 0.547183 | + | 0.837013i | \(0.315700\pi\) |
−0.892381 | + | 0.451283i | \(0.850967\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 73.0065i | 3.08784i | ||||||||
\(560\) | −4.64448 | + | 3.66454i | −0.196265 | + | 0.154855i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.37975 | − | 23.8096i | −0.269114 | − | 1.00435i | ||||
\(563\) | −0.0628710 | − | 0.0168462i | −0.00264969 | − | 0.000709984i | 0.257494 | − | 0.966280i | \(-0.417103\pi\) |
−0.260144 | + | 0.965570i | \(0.583770\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.18659 | + | 43.3933i | 0.302342 | + | 1.82557i | ||||
\(566\) | 5.51819i | 0.231947i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 11.5335 | + | 11.5335i | 0.483936 | + | 0.483936i | ||||
\(569\) | −13.5754 | + | 23.5133i | −0.569110 | + | 0.985728i | 0.427544 | + | 0.903995i | \(0.359379\pi\) |
−0.996654 | + | 0.0817335i | \(0.973954\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 13.3600 | + | 23.1403i | 0.559101 | + | 0.968391i | 0.997572 | + | 0.0696454i | \(0.0221868\pi\) |
−0.438471 | + | 0.898745i | \(0.644480\pi\) | |||||||
\(572\) | 29.3793 | − | 7.87216i | 1.22841 | − | 0.329151i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.621920 | − | 0.342894i | 0.0259584 | − | 0.0143121i | ||||
\(575\) | −8.07940 | + | 5.41020i | −0.336934 | + | 0.225621i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −14.6077 | − | 3.91412i | −0.608127 | − | 0.162947i | −0.0584023 | − | 0.998293i | \(-0.518601\pi\) |
−0.549724 | + | 0.835346i | \(0.685267\pi\) | |||||||
\(578\) | 2.28205 | + | 0.611475i | 0.0949210 | + | 0.0254340i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.777496 | − | 7.93480i | 0.0322838 | − | 0.329475i | ||||
\(581\) | −4.17271 | − | 2.52011i | −0.173113 | − | 0.104552i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 38.1127 | − | 10.2123i | 1.57847 | − | 0.422949i | ||||
\(584\) | −4.36056 | − | 7.55272i | −0.180441 | − | 0.312534i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.30892 | − | 16.1235i | 0.384548 | − | 0.666057i | ||||
\(587\) | −0.814359 | − | 0.814359i | −0.0336122 | − | 0.0336122i | 0.690101 | − | 0.723713i | \(-0.257566\pi\) |
−0.723713 | + | 0.690101i | \(0.757566\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 2.02970i | − | 0.0836324i | ||||||
\(590\) | 21.6224 | − | 3.58100i | 0.890179 | − | 0.147427i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.62530 | + | 0.435499i | 0.0667996 | + | 0.0178989i | ||||
\(593\) | 0.158410 | + | 0.591195i | 0.00650513 | + | 0.0242775i | 0.969102 | − | 0.246660i | \(-0.0793330\pi\) |
−0.962597 | + | 0.270937i | \(0.912666\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −15.5672 | + | 20.8651i | −0.638193 | + | 0.855385i | ||||
\(596\) | 19.6082i | 0.803184i | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.09449 | − | 11.5488i | 0.126543 | − | 0.472266i | ||||
\(599\) | 6.50281 | + | 11.2632i | 0.265698 | + | 0.460202i | 0.967746 | − | 0.251927i | \(-0.0810644\pi\) |
−0.702049 | + | 0.712129i | \(0.747731\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.4846 | −0.509258 | −0.254629 | − | 0.967039i | \(-0.581953\pi\) | ||||
−0.254629 | + | 0.967039i | \(0.581953\pi\) | |||||||
\(602\) | −8.72828 | + | 30.1807i | −0.355738 | + | 1.23007i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 2.16964 | + | 1.25264i | 0.0882816 | + | 0.0509694i | ||||
\(605\) | 12.4487 | + | 27.4382i | 0.506110 | + | 1.11552i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.30511 | − | 8.60280i | −0.0935616 | − | 0.349177i | 0.903236 | − | 0.429145i | \(-0.141185\pi\) |
−0.996797 | + | 0.0799678i | \(0.974518\pi\) | |||||||
\(608\) | −2.63626 | + | 2.63626i | −0.106914 | + | 0.106914i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 16.2126 | + | 19.7349i | 0.656429 | + | 0.799045i | ||||
\(611\) | 4.93919 | + | 2.85164i | 0.199818 | + | 0.115365i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.44173 | − | 27.7729i | 0.300569 | − | 1.12174i | −0.636125 | − | 0.771586i | \(-0.719464\pi\) |
0.936693 | − | 0.350151i | \(-0.113870\pi\) | |||||||
\(614\) | −11.9701 | + | 20.7328i | −0.483072 | + | 0.836706i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 13.0865 | + | 0.258110i | 0.527269 | + | 0.0103996i | ||||
\(617\) | 3.97067 | + | 3.97067i | 0.159853 | + | 0.159853i | 0.782502 | − | 0.622649i | \(-0.213943\pi\) |
−0.622649 | + | 0.782502i | \(0.713943\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −29.1348 | + | 16.8210i | −1.17103 | + | 0.676092i | −0.953921 | − | 0.300057i | \(-0.902994\pi\) |
−0.217104 | + | 0.976148i | \(0.569661\pi\) | |||||||
\(620\) | 1.10859 | − | 0.502963i | 0.0445218 | − | 0.0201995i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 19.2953 | − | 19.2953i | 0.773671 | − | 0.773671i | ||||
\(623\) | −1.16570 | − | 0.337122i | −0.0467028 | − | 0.0135065i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.8033 | + | 15.2588i | −0.792132 | + | 0.610350i | ||||
\(626\) | 6.43946 | − | 3.71782i | 0.257373 | − | 0.148594i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 18.8678 | − | 5.05560i | 0.752906 | − | 0.201740i | ||||
\(629\) | 7.40409 | 0.295221 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.9081 | −0.633292 | −0.316646 | − | 0.948544i | \(-0.602557\pi\) | ||||
−0.316646 | + | 0.948544i | \(0.602557\pi\) | |||||||
\(632\) | −7.73281 | + | 2.07200i | −0.307595 | + | 0.0824197i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −27.0648 | + | 15.6259i | −1.07488 | + | 0.620583i | ||||
\(635\) | −0.103412 | − | 0.624410i | −0.00410377 | − | 0.0247789i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 41.0986 | + | 12.7692i | 1.62839 | + | 0.505934i | ||||
\(638\) | −12.4729 | + | 12.4729i | −0.493809 | + | 0.493809i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.09314 | − | 0.786607i | −0.0827388 | − | 0.0310934i | ||||
\(641\) | 31.4224 | − | 18.1417i | 1.24111 | − | 0.716555i | 0.271789 | − | 0.962357i | \(-0.412385\pi\) |
0.969320 | + | 0.245802i | \(0.0790513\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.60079 | + | 2.60079i | 0.102565 | + | 0.102565i | 0.756527 | − | 0.653962i | \(-0.226894\pi\) |
−0.653962 | + | 0.756527i | \(0.726894\pi\) | |||||||
\(644\) | 2.65997 | − | 4.40428i | 0.104818 | − | 0.173553i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −8.20266 | + | 14.2074i | −0.322729 | + | 0.558983i | ||||
\(647\) | 2.05269 | − | 7.66073i | 0.0806994 | − | 0.301174i | −0.913766 | − | 0.406242i | \(-0.866839\pi\) |
0.994465 | + | 0.105067i | \(0.0335058\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −41.9936 | − | 24.2450i | −1.64839 | − | 0.951699i | ||||
\(650\) | 5.96694 | − | 30.1557i | 0.234043 | − | 1.18281i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.0262736 | + | 0.0262736i | −0.00102895 | + | 0.00102895i | ||||
\(653\) | −12.3118 | − | 45.9484i | −0.481799 | − | 1.79810i | −0.594060 | − | 0.804421i | \(-0.702476\pi\) |
0.112260 | − | 0.993679i | \(-0.464191\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −31.9487 | + | 14.4951i | −1.24834 | + | 0.566369i | ||||
\(656\) | 0.232462 | + | 0.134212i | 0.00907612 | + | 0.00524010i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.70092 | + | 1.76936i | 0.0663087 | + | 0.0689770i | ||||
\(659\) | 40.4379 | 1.57524 | 0.787618 | − | 0.616164i | \(-0.211314\pi\) | ||||
0.787618 | + | 0.616164i | \(0.211314\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 15.3620 | + | 26.6078i | 0.597513 | + | 1.03492i | 0.993187 | + | 0.116532i | \(0.0371777\pi\) |
−0.395674 | + | 0.918391i | \(0.629489\pi\) | |||||||
\(662\) | 2.78766 | − | 10.4037i | 0.108345 | − | 0.404350i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 1.84245i | − | 0.0715011i | ||||||
\(665\) | −13.6623 | − | 17.3157i | −0.529799 | − | 0.671474i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.79463 | + | 6.69767i | 0.0694885 | + | 0.259335i | ||||
\(668\) | 12.6514 | + | 3.38994i | 0.489499 | + | 0.131161i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.0550414 | − | 0.0768915i | 0.00212644 | − | 0.00297058i | ||||
\(671\) | − | 56.5070i | − | 2.18143i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.13524 | + | 2.13524i | 0.0823073 | + | 0.0823073i | 0.747062 | − | 0.664755i | \(-0.231464\pi\) |
−0.664755 | + | 0.747062i | \(0.731464\pi\) | |||||||
\(674\) | 15.4248 | − | 26.7165i | 0.594141 | − | 1.02908i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.3995 | + | 21.4765i | 0.476902 | + | 0.826019i | ||||
\(677\) | −2.33327 | + | 0.625198i | −0.0896749 | + | 0.0240283i | −0.303378 | − | 0.952870i | \(-0.598114\pi\) |
0.213703 | + | 0.976899i | \(0.431448\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −34.0137 | − | 20.5426i | −1.30533 | − | 0.788354i | ||||
\(680\) | −9.79245 | − | 0.959519i | −0.375523 | − | 0.0367959i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.60154 | − | 0.697081i | −0.0996182 | − | 0.0266926i | ||||
\(683\) | 19.9200 | + | 5.33754i | 0.762216 | + | 0.204235i | 0.618930 | − | 0.785446i | \(-0.287566\pi\) |
0.143286 | + | 0.989681i | \(0.454233\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.59333 | − | 4.37402i | −0.137294 | − | 0.167123i | ||||
\(686\) | 15.4634 | + | 10.1923i | 0.590396 | + | 0.389143i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −11.4701 | + | 3.07339i | −0.437292 | + | 0.117172i | ||||
\(689\) | 24.5176 | + | 42.4657i | 0.934046 | + | 1.61782i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 20.3078 | − | 35.1742i | 0.772546 | − | 1.33809i | −0.163617 | − | 0.986524i | \(-0.552316\pi\) |
0.936163 | − | 0.351566i | \(-0.114351\pi\) | |||||||
\(692\) | −0.517505 | − | 0.517505i | −0.0196726 | − | 0.0196726i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 6.15667i | − | 0.233704i | ||||||
\(695\) | −5.10531 | − | 3.65454i | −0.193655 | − | 0.138625i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.14090 | + | 0.305703i | 0.0432146 | + | 0.0115793i | ||||
\(698\) | 0.0510501 | + | 0.190521i | 0.00193227 | + | 0.00721134i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 6.07198 | − | 11.7529i | 0.229499 | − | 0.444218i | ||||
\(701\) | 16.4455i | 0.621140i | 0.950551 | + | 0.310570i | \(0.100520\pi\) | ||||
−0.950551 | + | 0.310570i | \(0.899480\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.62364 | + | 6.05951i | −0.0612368 | + | 0.228539i | ||||
\(704\) | 2.47359 | + | 4.28438i | 0.0932270 | + | 0.161474i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 10.2157 | 0.384472 | ||||||||
\(707\) | −9.18148 | − | 9.55095i | −0.345305 | − | 0.359200i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −17.3375 | − | 10.0098i | −0.651122 | − | 0.375926i | 0.137764 | − | 0.990465i | \(-0.456009\pi\) |
−0.788886 | + | 0.614539i | \(0.789342\pi\) | |||||||
\(710\) | −34.1410 | − | 12.8302i | −1.28129 | − | 0.481510i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.118707 | − | 0.443021i | −0.00444873 | − | 0.0166029i | ||||
\(713\) | −0.748631 | + | 0.748631i | −0.0280365 | + | 0.0280365i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −52.5520 | + | 43.1724i | −1.96533 | + | 1.61456i | ||||
\(716\) | 5.54712 | + | 3.20263i | 0.207306 | + | 0.119688i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.95063 | + | 14.7440i | −0.147436 | + | 0.550239i | ||||
\(719\) | 20.2948 | − | 35.1516i | 0.756868 | − | 1.31093i | −0.187572 | − | 0.982251i | \(-0.560062\pi\) |
0.944440 | − | 0.328683i | \(-0.106605\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −23.3890 | − | 42.4215i | −0.871052 | − | 1.57986i | ||||
\(722\) | 3.60644 | + | 3.60644i | 0.134218 | + | 0.134218i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −7.53612 | + | 4.35098i | −0.280078 | + | 0.161703i | ||||
\(725\) | 5.74745 | + | 16.8759i | 0.213455 | + | 0.626754i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.5089 | − | 17.5089i | 0.649368 | − | 0.649368i | −0.303473 | − | 0.952840i | \(-0.598146\pi\) |
0.952840 | + | 0.303473i | \(0.0981461\pi\) | |||||||
\(728\) | 3.89937 | + | 15.7920i | 0.144520 | + | 0.585290i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 15.8570 | + | 11.3510i | 0.586895 | + | 0.420118i | ||||
\(731\) | −45.2516 | + | 26.1260i | −1.67369 | + | 0.966305i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.09340 | + | 1.36477i | −0.188129 | + | 0.0504090i | −0.351653 | − | 0.936130i | \(-0.614380\pi\) |
0.163524 | + | 0.986539i | \(0.447714\pi\) | |||||||
\(734\) | −23.7301 | −0.875896 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.94470 | 0.0716828 | ||||||||
\(737\) | −0.202083 | + | 0.0541481i | −0.00744384 | + | 0.00199457i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.95782 | + | 2.28505i | −0.145591 | + | 0.0840570i | −0.571026 | − | 0.820932i | \(-0.693454\pi\) |
0.425435 | + | 0.904989i | \(0.360121\pi\) | |||||||
\(740\) | −3.71193 | + | 0.614753i | −0.136453 | + | 0.0225988i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.05852 | + | 20.4864i | 0.185704 | + | 0.752080i | ||||
\(743\) | −12.0060 | + | 12.0060i | −0.440459 | + | 0.440459i | −0.892166 | − | 0.451707i | \(-0.850815\pi\) |
0.451707 | + | 0.892166i | \(0.350815\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −18.1153 | − | 39.9280i | −0.663692 | − | 1.46285i | ||||
\(746\) | 16.1222 | − | 9.30815i | 0.590275 | − | 0.340796i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 15.3930 | + | 15.3930i | 0.562825 | + | 0.562825i | ||||
\(749\) | −4.97561 | − | 9.02444i | −0.181805 | − | 0.329746i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.40868 | − | 12.8322i | 0.270347 | − | 0.468254i | −0.698604 | − | 0.715509i | \(-0.746195\pi\) |
0.968951 | + | 0.247255i | \(0.0795284\pi\) | |||||||
\(752\) | −0.240094 | + | 0.896043i | −0.00875533 | + | 0.0326753i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −18.9844 | − | 10.9606i | −0.691370 | − | 0.399163i | ||||
\(755\) | −5.57530 | − | 0.546299i | −0.202906 | − | 0.0198818i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −15.0073 | + | 15.0073i | −0.545448 | + | 0.545448i | −0.925121 | − | 0.379673i | \(-0.876037\pi\) |
0.379673 | + | 0.925121i | \(0.376037\pi\) | |||||||
\(758\) | 9.02773 | + | 33.6920i | 0.327902 | + | 1.22375i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.93265 | − | 7.80373i | 0.106378 | − | 0.283071i | ||||
\(761\) | −2.48525 | − | 1.43486i | −0.0900904 | − | 0.0520137i | 0.454278 | − | 0.890860i | \(-0.349897\pi\) |
−0.544368 | + | 0.838846i | \(0.683231\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −15.8241 | − | 16.4608i | −0.572870 | − | 0.595922i | ||||
\(764\) | −7.98046 | −0.288723 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −15.5448 | − | 26.9245i | −0.561658 | − | 0.972821i | ||||
\(767\) | 15.5966 | − | 58.2073i | 0.563161 | − | 2.10174i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 35.3321i | − | 1.27411i | −0.770819 | − | 0.637055i | \(-0.780153\pi\) | ||
0.770819 | − | 0.637055i | \(-0.219847\pi\) | |||||||
\(770\) | −26.8863 | + | 11.5645i | −0.968915 | + | 0.416755i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −5.04593 | − | 18.8317i | −0.181607 | − | 0.677766i | ||||
\(773\) | −13.5691 | − | 3.63582i | −0.488045 | − | 0.130771i | 0.00640103 | − | 0.999980i | \(-0.497962\pi\) |
−0.494446 | + | 0.869208i | \(0.664629\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.79273 | + | 2.04836i | −0.0643969 | + | 0.0735792i | ||||
\(776\) | − | 15.0187i | − | 0.539141i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −14.0908 | − | 14.0908i | −0.505179 | − | 0.505179i | ||||
\(779\) | −0.500374 | + | 0.866673i | −0.0179278 | + | 0.0310518i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 40.3464 | + | 69.8820i | 1.44371 | + | 2.50058i | ||||
\(782\) | 8.26568 | − | 2.21478i | 0.295580 | − | 0.0792005i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.276021 | + | 6.99456i | −0.00985789 | + | 0.249806i | ||||
\(785\) | −33.7496 | + | 27.7259i | −1.20457 | + | 0.989579i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 14.2211 | + | 3.81054i | 0.506929 | + | 0.135831i | 0.503214 | − | 0.864162i | \(-0.332151\pi\) |
0.00371495 | + | 0.999993i | \(0.498817\pi\) | |||||||
\(788\) | −13.7914 | − | 3.69540i | −0.491299 | − | 0.131643i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 13.8320 | − | 11.3632i | 0.492121 | − | 0.404286i | ||||
\(791\) | 44.5486 | + | 26.9052i | 1.58397 | + | 0.956639i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 67.8309 | − | 18.1752i | 2.40875 | − | 0.645422i | ||||
\(794\) | −6.47536 | − | 11.2157i | −0.229802 | − | 0.398029i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.35098 | − | 11.0002i | 0.225105 | − | 0.389892i | ||||
\(797\) | 17.8544 | + | 17.8544i | 0.632437 | + | 0.632437i | 0.948679 | − | 0.316242i | \(-0.102421\pi\) |
−0.316242 | + | 0.948679i | \(0.602421\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.08194i | 0.144409i | ||||||||
\(800\) | 4.98896 | − | 0.332015i | 0.176387 | − | 0.0117385i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −1.75924 | − | 0.471387i | −0.0621210 | − | 0.0166453i | ||||
\(803\) | −11.1667 | − | 41.6749i | −0.394066 | − | 1.47067i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.34753 | + | 11.4258i | −0.0474941 | + | 0.402708i | ||||
\(806\) | − | 3.34710i | − | 0.117897i | ||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.29602 | − | 4.83680i | 0.0455937 | − | 0.170158i | ||||
\(809\) | −8.23813 | − | 14.2689i | −0.289637 | − | 0.501666i | 0.684086 | − | 0.729401i | \(-0.260201\pi\) |
−0.973723 | + | 0.227735i | \(0.926868\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −24.1358 | −0.847522 | −0.423761 | − | 0.905774i | \(-0.639290\pi\) | ||||
−0.423761 | + | 0.905774i | \(0.639290\pi\) | |||||||
\(812\) | −6.53769 | − | 6.80077i | −0.229428 | − | 0.238660i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 7.20907 | + | 4.16216i | 0.252678 | + | 0.145884i | ||||
\(815\) | 0.0292275 | − | 0.0777738i | 0.00102379 | − | 0.00272430i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −11.4583 | − | 42.7630i | −0.400876 | − | 1.49609i | ||||
\(818\) | −14.5966 | + | 14.5966i | −0.510359 | + | 0.510359i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.597354 | − | 0.0585321i | −0.0208605 | − | 0.00204403i | ||||
\(821\) | −22.7639 | − | 13.1427i | −0.794464 | − | 0.458684i | 0.0470674 | − | 0.998892i | \(-0.485012\pi\) |
−0.841532 | + | 0.540207i | \(0.818346\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −6.02428 | + | 22.4829i | −0.209993 | + | 0.783705i | 0.777876 | + | 0.628417i | \(0.216297\pi\) |
−0.987869 | + | 0.155287i | \(0.950370\pi\) | |||||||
\(824\) | 9.15468 | − | 15.8564i | 0.318918 | − | 0.552383i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 13.4066 | − | 22.1981i | 0.466474 | − | 0.772370i | ||||
\(827\) | 3.56023 | + | 3.56023i | 0.123801 | + | 0.123801i | 0.766293 | − | 0.642492i | \(-0.222099\pi\) |
−0.642492 | + | 0.766293i | \(0.722099\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 25.5490 | − | 14.7507i | 0.887354 | − | 0.512314i | 0.0142776 | − | 0.999898i | \(-0.495455\pi\) |
0.873076 | + | 0.487584i | \(0.162122\pi\) | |||||||
\(830\) | 1.70217 | + | 3.75177i | 0.0590832 | + | 0.130226i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.34735 | + | 4.34735i | −0.150717 | + | 0.150717i | ||||
\(833\) | 6.79277 | + | 30.0437i | 0.235355 | + | 1.04095i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −28.8939 | + | 4.78527i | −0.999913 | + | 0.165601i | ||||
\(836\) | −15.9732 | + | 9.22212i | −0.552444 | + | 0.318954i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −12.4555 | + | 3.33743i | −0.430267 | + | 0.115290i | ||||
\(839\) | 18.9600 | 0.654573 | 0.327286 | − | 0.944925i | \(-0.393866\pi\) | ||||
0.327286 | + | 0.944925i | \(0.393866\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16.2869 | −0.561616 | ||||||||
\(842\) | 16.3542 | − | 4.38208i | 0.563601 | − | 0.151017i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 16.3592 | − | 9.44499i | 0.563107 | − | 0.325110i | ||||
\(845\) | −45.0902 | − | 32.2770i | −1.55115 | − | 1.11036i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 34.2470 | + | 9.90428i | 1.17674 | + | 0.340315i | ||||
\(848\) | −5.63966 | + | 5.63966i | −0.193667 | + | 0.193667i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 20.8267 | − | 7.09301i | 0.714351 | − | 0.243288i | ||||
\(851\) | 2.83384 | − | 1.63612i | 0.0971427 | − | 0.0560854i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 14.2865 | + | 14.2865i | 0.489159 | + | 0.489159i | 0.908041 | − | 0.418882i | \(-0.137578\pi\) |
−0.418882 | + | 0.908041i | \(0.637578\pi\) | |||||||
\(854\) | 30.2140 | + | 0.595925i | 1.03390 | + | 0.0203921i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.94750 | − | 3.37317i | 0.0665642 | − | 0.115293i | ||||
\(857\) | 4.00989 | − | 14.9651i | 0.136975 | − | 0.511199i | −0.863007 | − | 0.505193i | \(-0.831421\pi\) |
0.999982 | − | 0.00600644i | \(-0.00191192\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 42.4333 | + | 24.4989i | 1.44781 | + | 0.835891i | 0.998351 | − | 0.0574123i | \(-0.0182850\pi\) |
0.449455 | + | 0.893303i | \(0.351618\pi\) | |||||||
\(860\) | 20.5170 | − | 16.8551i | 0.699623 | − | 0.574753i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 21.0190 | − | 21.0190i | 0.715910 | − | 0.715910i | ||||
\(863\) | 13.5416 | + | 50.5379i | 0.460961 | + | 1.72033i | 0.669945 | + | 0.742411i | \(0.266318\pi\) |
−0.208984 | + | 0.977919i | \(0.567016\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.53189 | + | 0.575688i | 0.0520860 | + | 0.0195740i | ||||
\(866\) | −24.5182 | − | 14.1556i | −0.833162 | − | 0.481026i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.400162 | − | 1.38368i | 0.0135824 | − | 0.0469652i | ||||
\(869\) | −39.6051 | −1.34351 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.129999 | − | 0.225164i | −0.00440484 | − | 0.00762940i | ||||
\(872\) | 2.23366 | − | 8.33612i | 0.0756411 | − | 0.282297i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 7.25031i | 0.245245i | ||||||||
\(875\) | −1.50626 | + | 29.5420i | −0.0509208 | + | 0.998703i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.13210 | + | 19.1533i | 0.173299 | + | 0.646760i | 0.996835 | + | 0.0794965i | \(0.0253313\pi\) |
−0.823536 | + | 0.567264i | \(0.808002\pi\) | |||||||
\(878\) | −6.18060 | − | 1.65609i | −0.208585 | − | 0.0558902i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.99513 | − | 6.43900i | −0.303226 | − | 0.217059i | ||||
\(881\) | − | 22.4079i | − | 0.754943i | −0.926021 | − | 0.377471i | \(-0.876794\pi\) | ||
0.926021 | − | 0.377471i | \(-0.123206\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −24.7816 | − | 24.7816i | −0.833966 | − | 0.833966i | 0.154091 | − | 0.988057i | \(-0.450755\pi\) |
−0.988057 | + | 0.154091i | \(0.950755\pi\) | |||||||
\(884\) | −13.5267 | + | 23.4289i | −0.454951 | + | 0.787999i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.169802 | + | 0.294105i | 0.00570460 | + | 0.00988066i | ||||
\(887\) | −37.1542 | + | 9.95542i | −1.24751 | + | 0.334270i | −0.821376 | − | 0.570387i | \(-0.806793\pi\) |
−0.426139 | + | 0.904658i | \(0.640126\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.641035 | − | 0.387154i | −0.0214996 | − | 0.0129847i | ||||
\(890\) | 0.651012 | + | 0.792450i | 0.0218220 | + | 0.0265630i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4.01337 | + | 1.07538i | 0.134378 | + | 0.0360064i | ||||
\(893\) | −3.34066 | − | 0.895127i | −0.111791 | − | 0.0299543i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −14.2543 | − | 1.39672i | −0.476470 | − | 0.0466872i | ||||
\(896\) | −2.31693 | + | 1.27744i | −0.0774032 | + | 0.0426761i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 11.4782 | − | 3.07558i | 0.383033 | − | 0.102633i | ||||
\(899\) | 0.970567 | + | 1.68107i | 0.0323702 | + | 0.0560668i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −17.5477 | + | 30.3935i | −0.584598 | + | 1.01255i | ||||
\(902\) | 0.938997 | + | 0.938997i | 0.0312652 | + | 0.0312652i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 19.6704i | 0.654227i | ||||||||
\(905\) | 11.3260 | − | 15.8222i | 0.376490 | − | 0.525947i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −30.6448 | − | 8.21125i | −1.01754 | − | 0.272650i | −0.288766 | − | 0.957400i | \(-0.593245\pi\) |
−0.728778 | + | 0.684750i | \(0.759911\pi\) | |||||||
\(908\) | −0.230907 | − | 0.861758i | −0.00766293 | − | 0.0285984i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −22.5299 | − | 28.5546i | −0.746858 | − | 0.946577i | ||||
\(911\) | − | 38.5994i | − | 1.27886i | −0.768851 | − | 0.639428i | \(-0.779171\pi\) | ||
0.768851 | − | 0.639428i | \(-0.220829\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.35912 | − | 8.80437i | 0.0780756 | − | 0.291382i | ||||
\(914\) | 10.0824 | + | 17.4632i | 0.333496 | + | 0.577633i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −20.6026 | −0.680728 | ||||||||
\(917\) | −11.5324 | + | 39.8768i | −0.380834 | + | 1.31685i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.71713 | + | 2.14609i | 0.122617 | + | 0.0707928i | 0.560054 | − | 0.828456i | \(-0.310780\pi\) |
−0.437437 | + | 0.899249i | \(0.644114\pi\) | |||||||
\(920\) | −3.95998 | + | 1.79664i | −0.130557 | + | 0.0592334i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 5.07160 | + | 18.9275i | 0.167024 | + | 0.623343i | ||||
\(923\) | −70.9091 | + | 70.9091i | −2.33400 | + | 2.33400i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.99062 | − | 4.68112i | 0.229850 | − | 0.153914i | ||||
\(926\) | −23.5444 | − | 13.5934i | −0.773716 | − | 0.446705i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.922831 | − | 3.44405i | 0.0302934 | − | 0.113057i | ||||
\(929\) | 8.99774 | − | 15.5845i | 0.295206 | − | 0.511312i | −0.679827 | − | 0.733373i | \(-0.737945\pi\) |
0.975033 | + | 0.222061i | \(0.0712783\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −26.0773 | − | 1.02907i | −0.854650 | − | 0.0337264i | ||||
\(932\) | 3.40735 | + | 3.40735i | 0.111611 | + | 0.111611i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 26.2075 | − | 15.1309i | 0.857534 | − | 0.495098i | ||||
\(935\) | −45.5657 | − | 17.1237i | −1.49016 | − | 0.560004i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 25.1463 | − | 25.1463i | 0.821495 | − | 0.821495i | −0.164828 | − | 0.986322i | \(-0.552707\pi\) |
0.986322 | + | 0.164828i | \(0.0527068\pi\) | |||||||
\(938\) | −0.0268216 | − | 0.108624i | −0.000875756 | − | 0.00354671i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.338918 | − | 2.04642i | −0.0110543 | − | 0.0667468i | ||||
\(941\) | −19.8371 | + | 11.4529i | −0.646670 | + | 0.373355i | −0.787179 | − | 0.616724i | \(-0.788459\pi\) |
0.140509 | + | 0.990079i | \(0.455126\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.504219 | − | 0.135105i | 0.0164196 | − | 0.00439962i | ||||
\(944\) | 9.80154 | 0.319013 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −58.7462 | −1.91000 | ||||||||
\(947\) | −19.3161 | + | 5.17572i | −0.627687 | + | 0.168188i | −0.558620 | − | 0.829424i | \(-0.688669\pi\) |
−0.0690674 | + | 0.997612i | \(0.522002\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 46.4347 | − | 26.8091i | 1.50733 | − | 0.870260i | ||||
\(950\) | 1.23783 | + | 18.6000i | 0.0401604 | + | 0.603464i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −8.39292 | + | 8.06825i | −0.272016 | + | 0.261494i | ||||
\(953\) | 5.12950 | − | 5.12950i | 0.166161 | − | 0.166161i | −0.619129 | − | 0.785289i | \(-0.712514\pi\) |
0.785289 | + | 0.619129i | \(0.212514\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 16.2505 | − | 7.37283i | 0.525855 | − | 0.238579i | ||||
\(956\) | −13.6183 | + | 7.86253i | −0.440448 | + | 0.254293i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.15697 | + | 1.15697i | 0.0373801 | + | 0.0373801i | ||||
\(959\) | −6.69658 | − | 0.132080i | −0.216244 | − | 0.00426508i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.3518 | − | 26.5901i | 0.495220 | − | 0.857745i | ||||
\(962\) | −2.67748 | + | 9.99250i | −0.0863255 | + | 0.322171i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −6.31306 | − | 3.64485i | −0.203330 | − | 0.117393i | ||||
\(965\) | 27.6728 | + | 33.6850i | 0.890819 | + | 1.08436i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −19.0930 | + | 19.0930i | −0.613989 | + | 0.613989i | −0.943983 | − | 0.329994i | \(-0.892953\pi\) |
0.329994 | + | 0.943983i | \(0.392953\pi\) | |||||||
\(968\) | 3.48748 | + | 13.0155i | 0.112092 | + | 0.418333i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 13.8752 | + | 30.5825i | 0.445506 | + | 0.981945i | ||||
\(971\) | 38.4438 | + | 22.1955i | 1.23372 | + | 0.712289i | 0.967804 | − | 0.251707i | \(-0.0809918\pi\) |
0.265917 | + | 0.963996i | \(0.414325\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.21223 | + | 1.78085i | −0.231214 | + | 0.0570915i | ||||
\(974\) | −7.21490 | −0.231180 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.71103 | + | 9.89179i | 0.182806 | + | 0.316628i | ||||
\(977\) | 2.17106 | − | 8.10250i | 0.0694583 | − | 0.259222i | −0.922461 | − | 0.386089i | \(-0.873826\pi\) |
0.991920 | + | 0.126868i | \(0.0404923\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 2.26902i | − | 0.0725181i | ||||||
\(980\) | −5.89994 | − | 14.4980i | −0.188467 | − | 0.463120i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.06244 | + | 22.6253i | 0.193460 | + | 0.722003i | ||||
\(983\) | 2.74105 | + | 0.734462i | 0.0874259 | + | 0.0234257i | 0.302267 | − | 0.953223i | \(-0.402257\pi\) |
−0.214841 | + | 0.976649i | \(0.568923\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 31.4974 | − | 5.21645i | 1.00359 | − | 0.166210i | ||||
\(986\) | − | 15.6894i | − | 0.499654i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −16.2079 | − | 16.2079i | −0.515643 | − | 0.515643i | ||||
\(989\) | −11.5464 | + | 19.9989i | −0.367153 | + | 0.635928i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 17.4678 | + | 30.2552i | 0.554884 | + | 0.961088i | 0.997913 | + | 0.0645801i | \(0.0205708\pi\) |
−0.443028 | + | 0.896508i | \(0.646096\pi\) | |||||||
\(992\) | 0.525863 | − | 0.140905i | 0.0166962 | − | 0.00447373i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −37.7911 | + | 20.8361i | −1.19866 | + | 0.660880i | ||||
\(995\) | −2.76977 | + | 28.2671i | −0.0878075 | + | 0.896126i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.55647 | + | 0.417054i | 0.0492938 | + | 0.0132082i | 0.283382 | − | 0.959007i | \(-0.408544\pi\) |
−0.234088 | + | 0.972215i | \(0.575210\pi\) | |||||||
\(998\) | 28.5456 | + | 7.64876i | 0.903594 | + | 0.242117i | ||||
\(999\) | 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 | 630.2.ce.c.233.2 | yes | 32 | |
3.2 | odd | 2 | inner | 630.2.ce.c.233.7 | yes | 32 | |
5.2 | odd | 4 | inner | 630.2.ce.c.107.3 | yes | 32 | |
7.4 | even | 3 | inner | 630.2.ce.c.53.6 | yes | 32 | |
15.2 | even | 4 | inner | 630.2.ce.c.107.6 | yes | 32 | |
21.11 | odd | 6 | inner | 630.2.ce.c.53.3 | ✓ | 32 | |
35.32 | odd | 12 | inner | 630.2.ce.c.557.7 | yes | 32 | |
105.32 | even | 12 | inner | 630.2.ce.c.557.2 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.ce.c.53.3 | ✓ | 32 | 21.11 | odd | 6 | inner | |
630.2.ce.c.53.6 | yes | 32 | 7.4 | even | 3 | inner | |
630.2.ce.c.107.3 | yes | 32 | 5.2 | odd | 4 | inner | |
630.2.ce.c.107.6 | yes | 32 | 15.2 | even | 4 | inner | |
630.2.ce.c.233.2 | yes | 32 | 1.1 | even | 1 | trivial | |
630.2.ce.c.233.7 | yes | 32 | 3.2 | odd | 2 | inner | |
630.2.ce.c.557.2 | yes | 32 | 105.32 | even | 12 | inner | |
630.2.ce.c.557.7 | yes | 32 | 35.32 | odd | 12 | inner |