Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [261,3,Mod(10,261)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(261, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([0, 23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("261.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 261 = 3^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 261.s (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.11173489980\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 73.2 | ||
Character | \(\chi\) | \(=\) | 261.73 |
Dual form | 261.3.s.a.118.2 |
$q$-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 \(\left(\mathbb{Z}/261\mathbb{Z}\right)^\times\).
\(n\) | \(118\) | \(146\) |
\(\chi(n)\) | \(e\left(\frac{27}{28}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.415096 | + | 0.0467701i | −0.207548 | + | 0.0233851i | −0.215126 | − | 0.976586i | \(-0.569016\pi\) |
0.00757815 | + | 0.999971i | \(0.497588\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.72959 | + | 0.851255i | −0.932398 | + | 0.212814i | ||||
\(5\) | −0.738700 | − | 0.589093i | −0.147740 | − | 0.117819i | 0.546831 | − | 0.837243i | \(-0.315834\pi\) |
−0.694571 | + | 0.719425i | \(0.744406\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.577468 | + | 2.53005i | −0.0824954 | + | 0.361436i | −0.999280 | − | 0.0379466i | \(-0.987918\pi\) |
0.916784 | + | 0.399383i | \(0.130775\pi\) | |||||||
\(8\) | 3.08546 | − | 1.07965i | 0.385682 | − | 0.134956i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.334184 | + | 0.209981i | 0.0334184 | + | 0.0209981i | ||||
\(11\) | 8.65125 | + | 3.02720i | 0.786477 | + | 0.275200i | 0.693489 | − | 0.720467i | \(-0.256072\pi\) |
0.0929879 | + | 0.995667i | \(0.470358\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.51239 | − | 9.37008i | −0.347107 | − | 0.720775i | 0.652198 | − | 0.758049i | \(-0.273847\pi\) |
−0.999305 | + | 0.0372733i | \(0.988133\pi\) | |||||||
\(14\) | 0.121374 | − | 1.07722i | 0.00866957 | − | 0.0769445i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 12.5564 | − | 6.04684i | 0.784774 | − | 0.377927i | ||||
\(17\) | −21.4949 | − | 21.4949i | −1.26441 | − | 1.26441i | −0.948936 | − | 0.315469i | \(-0.897838\pi\) |
−0.315469 | − | 0.948936i | \(-0.602162\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 14.2589 | − | 22.6929i | 0.750467 | − | 1.19436i | −0.225030 | − | 0.974352i | \(-0.572248\pi\) |
0.975498 | − | 0.220010i | \(-0.0706090\pi\) | |||||||
\(20\) | 3.25652 | + | 1.56826i | 0.162826 | + | 0.0784128i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.73269 | − | 0.851961i | −0.169668 | − | 0.0387255i | ||||
\(23\) | 2.27710 | + | 2.85539i | 0.0990042 | + | 0.124147i | 0.828866 | − | 0.559448i | \(-0.188987\pi\) |
−0.729861 | + | 0.683595i | \(0.760415\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −5.36438 | − | 23.5029i | −0.214575 | − | 0.940115i | ||||
\(26\) | 2.31132 | + | 3.67844i | 0.0888969 | + | 0.141479i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | − | 9.92764i | − | 0.354558i | ||||||
\(29\) | 24.3191 | − | 15.7981i | 0.838591 | − | 0.544761i | ||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 21.7090 | − | 2.44602i | 0.700291 | − | 0.0789039i | 0.245362 | − | 0.969431i | \(-0.421093\pi\) |
0.454929 | + | 0.890528i | \(0.349665\pi\) | |||||||
\(32\) | −16.0007 | + | 10.0539i | −0.500022 | + | 0.314185i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 9.92777 | + | 7.91713i | 0.291993 | + | 0.232857i | ||||
\(35\) | 1.91701 | − | 1.52877i | 0.0547718 | − | 0.0436790i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −46.0478 | + | 16.1128i | −1.24454 | + | 0.435482i | −0.870608 | − | 0.491976i | \(-0.836275\pi\) |
−0.373927 | + | 0.927458i | \(0.621989\pi\) | |||||||
\(38\) | −4.85746 | + | 10.0866i | −0.127828 | + | 0.265437i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.91524 | − | 1.02009i | −0.0728810 | − | 0.0255021i | ||||
\(41\) | 25.3355 | − | 25.3355i | 0.617940 | − | 0.617940i | −0.327063 | − | 0.945003i | \(-0.606059\pi\) |
0.945003 | + | 0.327063i | \(0.106059\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.78030 | − | 24.6759i | 0.0646582 | − | 0.573857i | −0.919057 | − | 0.394124i | \(-0.871048\pi\) |
0.983715 | − | 0.179733i | \(-0.0575234\pi\) | |||||||
\(44\) | −34.8426 | − | 3.92581i | −0.791877 | − | 0.0892231i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.07876 | − | 1.07876i | −0.0234513 | − | 0.0234513i | ||||
\(47\) | −7.49184 | + | 21.4104i | −0.159401 | + | 0.455541i | −0.995690 | − | 0.0927479i | \(-0.970435\pi\) |
0.836289 | + | 0.548289i | \(0.184721\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 38.0798 | + | 18.3383i | 0.777138 | + | 0.374250i | ||||
\(50\) | 3.32597 | + | 9.50507i | 0.0665193 | + | 0.190101i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 24.8057 | + | 31.1054i | 0.477033 | + | 0.598181i | ||||
\(53\) | 18.6271 | − | 23.3576i | 0.351454 | − | 0.440709i | −0.574409 | − | 0.818568i | \(-0.694768\pi\) |
0.925863 | + | 0.377859i | \(0.123340\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.60737 | − | 7.33259i | −0.0837704 | − | 0.133320i | ||||
\(56\) | 0.949813 | + | 8.42982i | 0.0169609 | + | 0.150533i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.35591 | + | 7.69514i | −0.161309 | + | 0.132675i | ||||
\(59\) | −18.2577 | −0.309453 | −0.154726 | − | 0.987957i | \(-0.549450\pi\) | ||||
−0.154726 | + | 0.987957i | \(0.549450\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −78.8333 | + | 49.5342i | −1.29235 | + | 0.812037i | −0.989987 | − | 0.141156i | \(-0.954918\pi\) |
−0.302362 | + | 0.953193i | \(0.597775\pi\) | |||||||
\(62\) | −8.89694 | + | 2.03067i | −0.143499 | + | 0.0327527i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −37.4125 | + | 29.8355i | −0.584570 | + | 0.466179i | ||||
\(65\) | −2.18655 | + | 9.57990i | −0.0336392 | + | 0.147383i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 24.5454 | − | 50.9691i | 0.366349 | − | 0.760732i | −0.633567 | − | 0.773688i | \(-0.718410\pi\) |
0.999916 | + | 0.0129558i | \(0.00412406\pi\) | |||||||
\(68\) | 98.4648 | + | 61.8696i | 1.44801 | + | 0.909846i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.724244 | + | 0.724244i | −0.0103463 | + | 0.0103463i | ||||
\(71\) | −56.1438 | − | 116.584i | −0.790758 | − | 1.64203i | −0.766436 | − | 0.642321i | \(-0.777972\pi\) |
−0.0243218 | − | 0.999704i | \(-0.507743\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 47.2614 | + | 5.32509i | 0.647417 | + | 0.0729464i | 0.429566 | − | 0.903036i | \(-0.358667\pi\) |
0.217851 | + | 0.975982i | \(0.430095\pi\) | |||||||
\(74\) | 18.3607 | − | 8.84204i | 0.248117 | − | 0.119487i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −33.8624 | + | 96.7732i | −0.445558 | + | 1.27333i | ||||
\(77\) | −12.6548 | + | 20.1400i | −0.164348 | + | 0.261558i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −13.7375 | − | 39.2594i | −0.173892 | − | 0.496954i | 0.823644 | − | 0.567107i | \(-0.191937\pi\) |
−0.997536 | + | 0.0701522i | \(0.977652\pi\) | |||||||
\(80\) | −12.8375 | − | 2.93009i | −0.160469 | − | 0.0366261i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −9.33174 | + | 11.7016i | −0.113802 | + | 0.142703i | ||||
\(83\) | 29.4538 | + | 129.046i | 0.354865 | + | 1.55477i | 0.765786 | + | 0.643095i | \(0.222350\pi\) |
−0.410921 | + | 0.911671i | \(0.634793\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.21577 | + | 28.5408i | 0.0378326 | + | 0.335774i | ||||
\(86\) | 10.3729i | 0.120615i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 29.9614 | 0.340470 | ||||||||
\(89\) | −32.3276 | + | 3.64244i | −0.363231 | + | 0.0409263i | −0.291694 | − | 0.956512i | \(-0.594219\pi\) |
−0.0715370 | + | 0.997438i | \(0.522790\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 26.3125 | − | 6.00567i | 0.289149 | − | 0.0659963i | ||||
\(92\) | −10.9233 | − | 8.71105i | −0.118732 | − | 0.0946853i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.10847 | − | 9.23779i | 0.0224305 | − | 0.0982744i | ||||
\(95\) | −23.9012 | + | 8.36341i | −0.251592 | + | 0.0880359i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −36.1089 | − | 22.6888i | −0.372257 | − | 0.233905i | 0.332890 | − | 0.942966i | \(-0.391976\pi\) |
−0.705147 | + | 0.709061i | \(0.749119\pi\) | |||||||
\(98\) | −16.6645 | − | 5.83115i | −0.170046 | − | 0.0595015i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 40.0139 | + | 83.0897i | 0.400139 | + | 0.830897i | ||||
\(101\) | −10.9637 | + | 97.3053i | −0.108551 | + | 0.963419i | 0.814873 | + | 0.579639i | \(0.196806\pi\) |
−0.923425 | + | 0.383780i | \(0.874622\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −66.1244 | + | 31.8438i | −0.641985 | + | 0.309164i | −0.726405 | − | 0.687267i | \(-0.758810\pi\) |
0.0844205 | + | 0.996430i | \(0.473096\pi\) | |||||||
\(104\) | −24.0392 | − | 24.0392i | −0.231146 | − | 0.231146i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.63959 | + | 10.5668i | −0.0626376 | + | 0.0996872i | ||||
\(107\) | −55.3820 | − | 26.6706i | −0.517589 | − | 0.249258i | 0.156805 | − | 0.987630i | \(-0.449881\pi\) |
−0.674394 | + | 0.738372i | \(0.735595\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 154.567 | + | 35.2790i | 1.41805 | + | 0.323660i | 0.861755 | − | 0.507325i | \(-0.169366\pi\) |
0.556294 | + | 0.830985i | \(0.312223\pi\) | |||||||
\(110\) | 2.25545 | + | 2.82824i | 0.0205041 | + | 0.0257113i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 8.04790 | + | 35.2602i | 0.0718562 | + | 0.314823i | ||||
\(113\) | 46.5316 | + | 74.0546i | 0.411784 | + | 0.655351i | 0.986642 | − | 0.162902i | \(-0.0520856\pi\) |
−0.574858 | + | 0.818253i | \(0.694943\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 3.45070i | − | 0.0300061i | ||||||
\(116\) | −77.2523 | + | 79.6222i | −0.665968 | + | 0.686398i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.57871 | − | 0.853915i | 0.0642263 | − | 0.00723657i | ||||
\(119\) | 66.7958 | − | 41.9706i | 0.561309 | − | 0.352694i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −28.9215 | − | 23.0641i | −0.239020 | − | 0.190612i | ||||
\(122\) | 30.4067 | − | 24.2485i | 0.249235 | − | 0.198759i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −78.8837 | + | 27.6026i | −0.636159 | + | 0.222602i | ||||
\(125\) | −20.1314 | + | 41.8033i | −0.161051 | + | 0.334426i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −171.713 | − | 60.0851i | −1.35207 | − | 0.473111i | −0.445546 | − | 0.895259i | \(-0.646990\pi\) |
−0.906527 | + | 0.422148i | \(0.861276\pi\) | |||||||
\(128\) | 67.5837 | − | 67.5837i | 0.527998 | − | 0.527998i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.459576 | − | 4.07885i | 0.00353520 | − | 0.0313757i | ||||
\(131\) | 72.7489 | + | 8.19683i | 0.555335 | + | 0.0625712i | 0.385172 | − | 0.922845i | \(-0.374142\pi\) |
0.170163 | + | 0.985416i | \(0.445571\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 49.1801 | + | 49.1801i | 0.369775 | + | 0.369775i | ||||
\(134\) | −7.80488 | + | 22.3051i | −0.0582454 | + | 0.166456i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −89.5284 | − | 43.1146i | −0.658297 | − | 0.317019i | ||||
\(137\) | −65.2470 | − | 186.465i | −0.476255 | − | 1.36106i | −0.892188 | − | 0.451664i | \(-0.850831\pi\) |
0.415933 | − | 0.909395i | \(-0.363455\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −38.5551 | − | 48.3466i | −0.277375 | − | 0.347817i | 0.623557 | − | 0.781778i | \(-0.285687\pi\) |
−0.900932 | + | 0.433961i | \(0.857116\pi\) | |||||||
\(140\) | −5.84830 | + | 7.33354i | −0.0417736 | + | 0.0523824i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 28.7577 | + | 45.7677i | 0.202519 | + | 0.322308i | ||||
\(143\) | −10.6727 | − | 94.7228i | −0.0746343 | − | 0.662397i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −27.2711 | − | 2.65621i | −0.188076 | − | 0.0183187i | ||||
\(146\) | −19.8671 | −0.136076 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 158.023 | − | 99.2927i | 1.06773 | − | 0.670897i | ||||
\(149\) | 29.6561 | − | 6.76882i | 0.199034 | − | 0.0454283i | −0.121841 | − | 0.992550i | \(-0.538880\pi\) |
0.320876 | + | 0.947121i | \(0.396023\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 110.649 | − | 88.2399i | 0.732777 | − | 0.584370i | −0.184399 | − | 0.982851i | \(-0.559034\pi\) |
0.917177 | + | 0.398481i | \(0.130463\pi\) | |||||||
\(152\) | 19.4948 | − | 85.4124i | 0.128255 | − | 0.561924i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.31101 | − | 8.95191i | 0.0279936 | − | 0.0581293i | ||||
\(155\) | −17.4774 | − | 10.9818i | −0.112757 | − | 0.0708501i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 19.5784 | − | 19.5784i | 0.124703 | − | 0.124703i | −0.642001 | − | 0.766704i | \(-0.721895\pi\) |
0.766704 | + | 0.642001i | \(0.221895\pi\) | |||||||
\(158\) | 7.53854 | + | 15.6539i | 0.0477123 | + | 0.0990755i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 17.7424 | + | 1.99909i | 0.110890 | + | 0.0124943i | ||||
\(161\) | −8.53923 | + | 4.11228i | −0.0530387 | + | 0.0255421i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 34.1257 | − | 97.5257i | 0.209360 | − | 0.598317i | −0.790541 | − | 0.612410i | \(-0.790200\pi\) |
0.999901 | + | 0.0140927i | \(0.00448600\pi\) | |||||||
\(164\) | −72.9242 | + | 116.058i | −0.444660 | + | 0.707672i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −18.2617 | − | 52.1888i | −0.110010 | − | 0.314390i | ||||
\(167\) | 262.410 | + | 59.8934i | 1.57132 | + | 0.358643i | 0.917414 | − | 0.397934i | \(-0.130273\pi\) |
0.653904 | + | 0.756577i | \(0.273130\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 37.9331 | − | 47.5666i | 0.224456 | − | 0.281459i | ||||
\(170\) | −2.66971 | − | 11.6968i | −0.0157042 | − | 0.0688045i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 10.6361 | + | 94.3977i | 0.0618376 | + | 0.548824i | ||||
\(173\) | − | 126.379i | − | 0.730512i | −0.930907 | − | 0.365256i | \(-0.880981\pi\) | ||
0.930907 | − | 0.365256i | \(-0.119019\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 62.5612 | 0.357493 | ||||||||
\(176\) | 126.933 | − | 14.3020i | 0.721213 | − | 0.0812612i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 13.2487 | − | 3.02393i | 0.0744309 | − | 0.0169884i | ||||
\(179\) | −220.984 | − | 176.229i | −1.23455 | − | 0.984520i | −0.999923 | − | 0.0124338i | \(-0.996042\pi\) |
−0.234626 | − | 0.972086i | \(-0.575386\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 51.3580 | − | 225.014i | 0.283746 | − | 1.24317i | −0.609204 | − | 0.793014i | \(-0.708511\pi\) |
0.892949 | − | 0.450157i | \(-0.148632\pi\) | |||||||
\(182\) | −10.6414 | + | 3.72357i | −0.0584690 | + | 0.0204592i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 10.1087 | + | 6.35171i | 0.0549386 | + | 0.0345202i | ||||
\(185\) | 43.5075 | + | 15.2239i | 0.235175 | + | 0.0822914i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −120.888 | − | 251.027i | −0.646461 | − | 1.34239i | ||||
\(188\) | 9.71575 | − | 86.2297i | 0.0516795 | − | 0.458669i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 9.53017 | − | 4.58949i | 0.0501588 | − | 0.0241552i | ||||
\(191\) | −68.5806 | − | 68.5806i | −0.359061 | − | 0.359061i | 0.504406 | − | 0.863467i | \(-0.331711\pi\) |
−0.863467 | + | 0.504406i | \(0.831711\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −16.7176 | + | 26.6059i | −0.0866198 | + | 0.137855i | −0.887224 | − | 0.461339i | \(-0.847369\pi\) |
0.800604 | + | 0.599194i | \(0.204512\pi\) | |||||||
\(194\) | 16.0499 | + | 7.72920i | 0.0827312 | + | 0.0398413i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −157.633 | − | 35.9786i | −0.804248 | − | 0.183564i | ||||
\(197\) | 63.4701 | + | 79.5889i | 0.322183 | + | 0.404005i | 0.916377 | − | 0.400317i | \(-0.131100\pi\) |
−0.594194 | + | 0.804322i | \(0.702529\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 34.8200 | + | 152.557i | 0.174975 | + | 0.766616i | 0.983902 | + | 0.178707i | \(0.0571915\pi\) |
−0.808927 | + | 0.587909i | \(0.799951\pi\) | |||||||
\(200\) | −41.9264 | − | 66.7254i | −0.209632 | − | 0.333627i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | − | 40.9039i | − | 0.202494i | ||||||
\(203\) | 25.9264 | + | 70.6516i | 0.127716 | + | 0.348037i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −33.6403 | + | 3.79036i | −0.164099 | + | 0.0184895i | ||||
\(206\) | 25.9587 | − | 16.3109i | 0.126013 | − | 0.0791792i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −113.319 | − | 90.3686i | −0.544801 | − | 0.434465i | ||||
\(209\) | 192.053 | − | 153.157i | 0.918914 | − | 0.732810i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −19.1966 | + | 6.71718i | −0.0909791 | + | 0.0318350i | −0.375385 | − | 0.926869i | \(-0.622489\pi\) |
0.284406 | + | 0.958704i | \(0.408204\pi\) | |||||||
\(212\) | −49.5881 | + | 102.971i | −0.233906 | + | 0.485711i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 24.2363 | + | 8.48064i | 0.113254 | + | 0.0396291i | ||||
\(215\) | −16.5902 | + | 16.5902i | −0.0771637 | + | 0.0771637i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.34771 | + | 56.3375i | −0.0292521 | + | 0.259620i | ||||
\(218\) | −65.8104 | − | 7.41505i | −0.301882 | − | 0.0340140i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 23.4255 | + | 23.4255i | 0.106480 | + | 0.106480i | ||||
\(221\) | −104.415 | + | 298.402i | −0.472468 | + | 1.35024i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 228.933 | + | 110.248i | 1.02661 | + | 0.494387i | 0.869884 | − | 0.493256i | \(-0.164193\pi\) |
0.156721 | + | 0.987643i | \(0.449908\pi\) | |||||||
\(224\) | −16.1970 | − | 46.2884i | −0.0723081 | − | 0.206645i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −22.7787 | − | 28.5635i | −0.100791 | − | 0.126387i | ||||
\(227\) | −261.380 | + | 327.760i | −1.15145 | + | 1.44388i | −0.275617 | + | 0.961268i | \(0.588882\pi\) |
−0.875836 | + | 0.482609i | \(0.839689\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 140.386 | + | 223.424i | 0.613041 | + | 0.975649i | 0.998596 | + | 0.0529641i | \(0.0168669\pi\) |
−0.385556 | + | 0.922685i | \(0.625990\pi\) | |||||||
\(230\) | 0.161390 | + | 1.43237i | 0.000701694 | + | 0.00622771i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 57.9793 | − | 75.0004i | 0.249911 | − | 0.323277i | ||||
\(233\) | −233.305 | −1.00131 | −0.500654 | − | 0.865648i | \(-0.666907\pi\) | ||||
−0.500654 | + | 0.865648i | \(0.666907\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 18.1470 | − | 11.4025i | 0.0772211 | − | 0.0485212i | ||||
\(236\) | 68.0938 | − | 15.5420i | 0.288533 | − | 0.0658558i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −25.7637 | + | 20.5459i | −0.108251 | + | 0.0863272i | ||||
\(239\) | −37.0417 | + | 162.290i | −0.154986 | + | 0.679038i | 0.836406 | + | 0.548111i | \(0.184653\pi\) |
−0.991392 | + | 0.130928i | \(0.958204\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −119.624 | + | 248.401i | −0.496363 | + | 1.03071i | 0.490841 | + | 0.871249i | \(0.336689\pi\) |
−0.987204 | + | 0.159460i | \(0.949025\pi\) | |||||||
\(242\) | 13.0839 | + | 8.22116i | 0.0540657 | + | 0.0339717i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 251.850 | − | 251.850i | 1.03217 | − | 1.03217i | ||||
\(245\) | −17.3266 | − | 35.9790i | −0.0707207 | − | 0.146853i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −276.976 | − | 31.2077i | −1.12136 | − | 0.126347i | ||||
\(248\) | 64.3414 | − | 30.9852i | 0.259441 | − | 0.124940i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 6.40133 | − | 18.2940i | 0.0256053 | − | 0.0731758i | ||||
\(251\) | 222.330 | − | 353.836i | 0.885777 | − | 1.40971i | −0.0262849 | − | 0.999654i | \(-0.508368\pi\) |
0.912062 | − | 0.410052i | \(-0.134489\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.0559 | + | 31.5959i | 0.0436992 | + | 0.124885i | ||||
\(254\) | 74.0878 | + | 16.9100i | 0.291684 | + | 0.0665750i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 94.4490 | − | 118.435i | 0.368941 | − | 0.462638i | ||||
\(257\) | −2.48412 | − | 10.8836i | −0.00966583 | − | 0.0423487i | 0.969865 | − | 0.243643i | \(-0.0783425\pi\) |
−0.979531 | + | 0.201294i | \(0.935485\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −14.1752 | − | 125.808i | −0.0547303 | − | 0.485745i | ||||
\(260\) | − | 37.5904i | − | 0.144579i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −30.5812 | −0.116722 | ||||||||
\(263\) | 325.997 | − | 36.7310i | 1.23953 | − | 0.139662i | 0.532246 | − | 0.846590i | \(-0.321348\pi\) |
0.707285 | + | 0.706928i | \(0.249920\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −27.5196 | + | 6.28117i | −0.103848 | + | 0.0237025i | ||||
\(266\) | −22.7146 | − | 18.1143i | −0.0853934 | − | 0.0680990i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −48.1567 | + | 210.988i | −0.179689 | + | 0.787270i | ||||
\(269\) | −292.071 | + | 102.200i | −1.08577 | + | 0.379926i | −0.813066 | − | 0.582172i | \(-0.802203\pi\) |
−0.272702 | + | 0.962099i | \(0.587917\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 16.8213 | + | 10.5695i | 0.0620712 | + | 0.0390019i | 0.562710 | − | 0.826654i | \(-0.309759\pi\) |
−0.500639 | + | 0.865656i | \(0.666902\pi\) | |||||||
\(272\) | −399.874 | − | 139.922i | −1.47013 | − | 0.514419i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 35.8048 | + | 74.3494i | 0.130674 | + | 0.271348i | ||||
\(275\) | 24.7394 | − | 219.568i | 0.0899615 | − | 0.798430i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −278.671 | + | 134.201i | −1.00603 | + | 0.484480i | −0.862981 | − | 0.505236i | \(-0.831406\pi\) |
−0.143051 | + | 0.989715i | \(0.545691\pi\) | |||||||
\(278\) | 18.2653 | + | 18.2653i | 0.0657024 | + | 0.0657024i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.26433 | − | 6.78663i | 0.0152297 | − | 0.0242380i | ||||
\(281\) | 275.413 | + | 132.632i | 0.980118 | + | 0.472000i | 0.854146 | − | 0.520034i | \(-0.174081\pi\) |
0.125972 | + | 0.992034i | \(0.459795\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −104.652 | − | 23.8861i | −0.369794 | − | 0.0844032i | 0.0335853 | − | 0.999436i | \(-0.489307\pi\) |
−0.403380 | + | 0.915033i | \(0.632165\pi\) | |||||||
\(284\) | 308.636 | + | 387.017i | 1.08675 | + | 1.36274i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.86040 | + | 38.8199i | 0.0309804 | + | 0.135734i | ||||
\(287\) | 49.4697 | + | 78.7306i | 0.172368 | + | 0.274323i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 635.060i | 2.19744i | ||||||||
\(290\) | 11.4444 | − | 0.172888i | 0.0394633 | − | 0.000596165i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −180.799 | + | 20.3712i | −0.619175 | + | 0.0697642i | ||||
\(293\) | 230.684 | − | 144.948i | 0.787318 | − | 0.494705i | −0.0773772 | − | 0.997002i | \(-0.524655\pi\) |
0.864695 | + | 0.502297i | \(0.167512\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.4870 | + | 10.7555i | 0.0457185 | + | 0.0364593i | ||||
\(296\) | −124.682 | + | 99.4308i | −0.421224 | + | 0.335915i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −11.9936 | + | 4.19673i | −0.0402469 | + | 0.0140830i | ||||
\(299\) | 16.4801 | − | 34.2212i | 0.0551173 | − | 0.114452i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 60.8257 | + | 21.2838i | 0.202079 | + | 0.0707104i | ||||
\(302\) | −41.8032 | + | 41.8032i | −0.138421 | + | 0.138421i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 41.8199 | − | 371.162i | 0.137565 | − | 1.22093i | ||||
\(305\) | 87.4144 | + | 9.84924i | 0.286605 | + | 0.0322926i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −134.403 | − | 134.403i | −0.437796 | − | 0.437796i | 0.453473 | − | 0.891270i | \(-0.350185\pi\) |
−0.891270 | + | 0.453473i | \(0.850185\pi\) | |||||||
\(308\) | 30.0530 | − | 85.8865i | 0.0975746 | − | 0.278852i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 7.76842 | + | 3.74108i | 0.0250594 | + | 0.0120680i | ||||
\(311\) | −60.8757 | − | 173.973i | −0.195742 | − | 0.559398i | 0.803619 | − | 0.595144i | \(-0.202905\pi\) |
−0.999361 | + | 0.0357461i | \(0.988619\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 263.236 | + | 330.088i | 0.841010 | + | 1.05459i | 0.997756 | + | 0.0669540i | \(0.0213281\pi\) |
−0.156746 | + | 0.987639i | \(0.550101\pi\) | |||||||
\(314\) | −7.21125 | + | 9.04262i | −0.0229658 | + | 0.0287981i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 84.6549 | + | 134.728i | 0.267895 | + | 0.426353i | ||||
\(317\) | 45.6880 | + | 405.492i | 0.144126 | + | 1.27915i | 0.832592 | + | 0.553886i | \(0.186856\pi\) |
−0.688466 | + | 0.725268i | \(0.741716\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 258.215 | − | 63.0541i | 0.809451 | − | 0.197662i | ||||
\(320\) | 45.2125 | 0.141289 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.35227 | − | 2.10637i | 0.0104108 | − | 0.00654153i | ||||
\(323\) | −794.274 | + | 181.288i | −2.45905 | + | 0.561263i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −196.018 | + | 156.319i | −0.603131 | + | 0.480981i | ||||
\(326\) | −9.60417 | + | 42.0786i | −0.0294607 | + | 0.129076i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 50.8182 | − | 105.525i | 0.154934 | − | 0.321723i | ||||
\(329\) | −49.8432 | − | 31.3186i | −0.151499 | − | 0.0951932i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 53.9759 | − | 53.9759i | 0.163069 | − | 0.163069i | −0.620856 | − | 0.783925i | \(-0.713215\pi\) |
0.783925 | + | 0.620856i | \(0.213215\pi\) | |||||||
\(332\) | −219.702 | − | 456.215i | −0.661752 | − | 1.37414i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −111.727 | − | 12.5886i | −0.334511 | − | 0.0376904i | ||||
\(335\) | −48.1572 | + | 23.1913i | −0.143753 | + | 0.0692277i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −100.512 | + | 287.246i | −0.298255 | + | 0.852363i | 0.693063 | + | 0.720877i | \(0.256261\pi\) |
−0.991318 | + | 0.131486i | \(0.958025\pi\) | |||||||
\(338\) | −13.5212 | + | 21.5189i | −0.0400035 | + | 0.0636652i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −36.2890 | − | 103.708i | −0.106732 | − | 0.305024i | ||||
\(341\) | 195.215 | + | 44.5565i | 0.572478 | + | 0.130664i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −147.670 | + | 185.172i | −0.430525 | + | 0.539861i | ||||
\(344\) | −18.0627 | − | 79.1380i | −0.0525080 | − | 0.230052i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.91075 | + | 52.4593i | 0.0170831 | + | 0.151617i | ||||
\(347\) | − | 3.76060i | − | 0.0108375i | −0.999985 | − | 0.00541873i | \(-0.998275\pi\) | ||
0.999985 | − | 0.00541873i | \(-0.00172484\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 227.541 | 0.651979 | 0.325989 | − | 0.945373i | \(-0.394303\pi\) | ||||
0.325989 | + | 0.945373i | \(0.394303\pi\) | |||||||
\(350\) | −25.9689 | + | 2.92600i | −0.0741970 | + | 0.00835999i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −168.861 | + | 38.5415i | −0.479720 | + | 0.109493i | ||||
\(353\) | 317.199 | + | 252.957i | 0.898579 | + | 0.716593i | 0.959548 | − | 0.281547i | \(-0.0908474\pi\) |
−0.0609682 | + | 0.998140i | \(0.519419\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −27.2053 | + | 119.194i | −0.0766347 | + | 0.335759i | ||||
\(356\) | 117.468 | − | 41.1039i | 0.329967 | − | 0.115460i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 99.9720 | + | 62.8166i | 0.279251 | + | 0.175465i | ||||
\(359\) | 237.999 | + | 83.2794i | 0.662949 | + | 0.231976i | 0.640717 | − | 0.767777i | \(-0.278637\pi\) |
0.0222319 | + | 0.999753i | \(0.492923\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −155.019 | − | 321.900i | −0.429415 | − | 0.891690i | ||||
\(362\) | −10.7946 | + | 95.8045i | −0.0298193 | + | 0.264653i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −93.0227 | + | 44.7974i | −0.255557 | + | 0.123070i | ||||
\(365\) | −31.7750 | − | 31.7750i | −0.0870549 | − | 0.0870549i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −246.647 | + | 392.537i | −0.672063 | + | 1.06958i | 0.320429 | + | 0.947273i | \(0.396173\pi\) |
−0.992492 | + | 0.122310i | \(0.960970\pi\) | |||||||
\(368\) | 45.8582 | + | 22.0841i | 0.124615 | + | 0.0600112i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −18.7718 | − | 4.28454i | −0.0507346 | − | 0.0115799i | ||||
\(371\) | 48.3394 | + | 60.6157i | 0.130295 | + | 0.163385i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −55.7998 | − | 244.475i | −0.149597 | − | 0.655429i | −0.992997 | − | 0.118142i | \(-0.962306\pi\) |
0.843399 | − | 0.537287i | \(-0.180551\pi\) | |||||||
\(374\) | 61.9209 | + | 98.5465i | 0.165564 | + | 0.263493i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 74.1495i | 0.197206i | ||||||||
\(377\) | −257.767 | − | 156.585i | −0.683731 | − | 0.415345i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 487.332 | − | 54.9091i | 1.28584 | − | 0.144879i | 0.557545 | − | 0.830147i | \(-0.311743\pi\) |
0.728291 | + | 0.685268i | \(0.240315\pi\) | |||||||
\(380\) | 82.0226 | − | 51.5382i | 0.215849 | − | 0.135627i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 31.6751 | + | 25.2600i | 0.0829190 | + | 0.0661257i | ||||
\(383\) | −172.689 | + | 137.715i | −0.450886 | + | 0.359570i | −0.822450 | − | 0.568838i | \(-0.807393\pi\) |
0.371564 | + | 0.928407i | \(0.378822\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 21.2124 | − | 7.42255i | 0.0550972 | − | 0.0192794i | ||||
\(386\) | 5.69506 | − | 11.8259i | 0.0147540 | − | 0.0306371i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 153.986 | + | 53.8819i | 0.396870 | + | 0.138871i | ||||
\(389\) | 291.445 | − | 291.445i | 0.749217 | − | 0.749217i | −0.225115 | − | 0.974332i | \(-0.572276\pi\) |
0.974332 | + | 0.225115i | \(0.0722759\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 12.4303 | − | 110.322i | 0.0317911 | − | 0.282154i | ||||
\(392\) | 137.292 | + | 15.4691i | 0.350236 | + | 0.0394621i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −30.0686 | − | 30.0686i | −0.0763162 | − | 0.0763162i | ||||
\(395\) | −12.9796 | + | 37.0935i | −0.0328597 | + | 0.0939077i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −65.4912 | − | 31.5389i | −0.164965 | − | 0.0794430i | 0.349579 | − | 0.936907i | \(-0.386325\pi\) |
−0.514544 | + | 0.857464i | \(0.672039\pi\) | |||||||
\(398\) | −21.5888 | − | 61.6972i | −0.0542431 | − | 0.155018i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −209.475 | − | 262.674i | −0.523688 | − | 0.656684i | ||||
\(401\) | −324.268 | + | 406.619i | −0.808649 | + | 1.01401i | 0.190826 | + | 0.981624i | \(0.438883\pi\) |
−0.999475 | + | 0.0323898i | \(0.989688\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −120.879 | − | 192.378i | −0.299948 | − | 0.477365i | ||||
\(404\) | −41.9416 | − | 372.242i | −0.103816 | − | 0.921392i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −14.0663 | − | 28.1146i | −0.0346462 | − | 0.0692479i | ||||
\(407\) | −447.148 | −1.09864 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 250.417 | − | 157.347i | 0.612266 | − | 0.384712i | −0.189909 | − | 0.981802i | \(-0.560819\pi\) |
0.802174 | + | 0.597090i | \(0.203676\pi\) | |||||||
\(410\) | 13.7867 | − | 3.14673i | 0.0336261 | − | 0.00767494i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 219.510 | − | 175.053i | 0.532791 | − | 0.424887i | ||||
\(413\) | 10.5432 | − | 46.1929i | 0.0255284 | − | 0.111847i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 54.2624 | − | 112.677i | 0.130753 | − | 0.271511i | ||||
\(416\) | 166.407 | + | 104.561i | 0.400018 | + | 0.251348i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −72.5574 | + | 72.5574i | −0.173582 | + | 0.173582i | ||||
\(419\) | −59.7192 | − | 124.008i | −0.142528 | − | 0.295962i | 0.817469 | − | 0.575972i | \(-0.195376\pi\) |
−0.959997 | + | 0.280010i | \(0.909662\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 432.517 | + | 48.7330i | 1.02736 | + | 0.115755i | 0.609523 | − | 0.792768i | \(-0.291361\pi\) |
0.417833 | + | 0.908524i | \(0.362790\pi\) | |||||||
\(422\) | 7.65428 | − | 3.68611i | 0.0181381 | − | 0.00873485i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 32.2550 | − | 92.1795i | 0.0760731 | − | 0.217404i | ||||
\(425\) | −389.885 | + | 620.498i | −0.917376 | + | 1.46000i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −79.8005 | − | 228.057i | −0.186886 | − | 0.534091i | ||||
\(428\) | 229.256 | + | 52.3262i | 0.535645 | + | 0.122257i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 6.11061 | − | 7.66246i | 0.0142107 | − | 0.0178197i | ||||
\(431\) | −38.3560 | − | 168.049i | −0.0889930 | − | 0.389904i | 0.910741 | − | 0.412979i | \(-0.135512\pi\) |
−0.999734 | + | 0.0230748i | \(0.992654\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.55493 | + | 49.3014i | 0.0128289 | + | 0.113860i | 0.998495 | − | 0.0548506i | \(-0.0174682\pi\) |
−0.985666 | + | 0.168711i | \(0.946040\pi\) | |||||||
\(434\) | − | 23.6824i | − | 0.0545677i | ||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −606.505 | −1.39107 | ||||||||
\(437\) | 97.2658 | − | 10.9592i | 0.222576 | − | 0.0250783i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 190.067 | − | 43.3816i | 0.432955 | − | 0.0988191i | −0.000488576 | − | 1.00000i | \(-0.500156\pi\) |
0.433443 | + | 0.901181i | \(0.357298\pi\) | |||||||
\(440\) | −22.1324 | − | 17.6500i | −0.0503010 | − | 0.0401137i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 29.3862 | − | 128.749i | 0.0664845 | − | 0.291288i | ||||
\(443\) | 228.033 | − | 79.7920i | 0.514746 | − | 0.180117i | −0.0603905 | − | 0.998175i | \(-0.519235\pi\) |
0.575137 | + | 0.818057i | \(0.304949\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 26.0261 | + | 16.3533i | 0.0584856 | + | 0.0367490i | ||||
\(446\) | −100.186 | − | 35.0565i | −0.224631 | − | 0.0786019i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −53.8807 | − | 111.884i | −0.120269 | − | 0.249742i | ||||
\(449\) | 55.8565 | − | 495.740i | 0.124402 | − | 1.10410i | −0.764059 | − | 0.645147i | \(-0.776796\pi\) |
0.888461 | − | 0.458952i | \(-0.151775\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 295.880 | − | 142.488i | 0.656053 | − | 0.315938i | ||||
\(452\) | −236.583 | − | 236.583i | −0.523415 | − | 0.523415i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 93.1685 | − | 148.277i | 0.205217 | − | 0.326601i | ||||
\(455\) | −22.9750 | − | 11.0642i | −0.0504944 | − | 0.0243168i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 204.659 | + | 46.7120i | 0.447831 | + | 0.102215i | 0.440488 | − | 0.897759i | \(-0.354805\pi\) |
0.00734312 | + | 0.999973i | \(0.497663\pi\) | |||||||
\(458\) | −68.7234 | − | 86.1764i | −0.150051 | − | 0.188158i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.93743 | + | 12.8697i | 0.00638571 | + | 0.0279776i | ||||
\(461\) | 129.473 | + | 206.054i | 0.280852 | + | 0.446973i | 0.957124 | − | 0.289679i | \(-0.0935486\pi\) |
−0.676272 | + | 0.736652i | \(0.736406\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 710.071i | − | 1.53363i | −0.641868 | − | 0.766815i | \(-0.721840\pi\) | ||
0.641868 | − | 0.766815i | \(-0.278160\pi\) | |||||||
\(464\) | 209.832 | − | 345.421i | 0.452225 | − | 0.744441i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 96.8439 | − | 10.9117i | 0.207820 | − | 0.0234156i | ||||
\(467\) | 676.037 | − | 424.782i | 1.44762 | − | 0.909598i | 0.447735 | − | 0.894166i | \(-0.352231\pi\) |
0.999881 | − | 0.0154315i | \(-0.00491219\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 114.780 | + | 91.5341i | 0.244734 | + | 0.195169i | ||||
\(470\) | −6.99944 | + | 5.58187i | −0.0148924 | + | 0.0118763i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −56.3333 | + | 19.7119i | −0.119350 | + | 0.0417625i | ||||
\(473\) | 98.7519 | − | 205.061i | 0.208778 | − | 0.433532i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −609.838 | − | 213.391i | −1.28387 | − | 0.449245i | ||||
\(476\) | −213.393 | + | 213.393i | −0.448306 | + | 0.448306i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.78553 | − | 69.0985i | 0.0162877 | − | 0.144558i | ||||
\(479\) | 483.953 | + | 54.5284i | 1.01034 | + | 0.113838i | 0.601587 | − | 0.798807i | \(-0.294535\pi\) |
0.408753 | + | 0.912645i | \(0.365964\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 358.764 | + | 358.764i | 0.745872 | + | 0.745872i | ||||
\(482\) | 38.0376 | − | 108.705i | 0.0789161 | − | 0.225529i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 127.499 | + | 61.4001i | 0.263427 | + | 0.126860i | ||||
\(485\) | 13.3079 | + | 38.0317i | 0.0274389 | + | 0.0784159i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −72.6889 | − | 91.1490i | −0.149259 | − | 0.187164i | 0.701581 | − | 0.712589i | \(-0.252478\pi\) |
−0.850840 | + | 0.525425i | \(0.823906\pi\) | |||||||
\(488\) | −189.757 | + | 237.948i | −0.388847 | + | 0.487598i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8.87495 | + | 14.1244i | 0.0181121 | + | 0.0288253i | ||||
\(491\) | −75.7150 | − | 671.989i | −0.154206 | − | 1.36861i | −0.797650 | − | 0.603120i | \(-0.793924\pi\) |
0.643445 | − | 0.765493i | \(-0.277505\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −862.315 | − | 183.159i | −1.74912 | − | 0.371520i | ||||
\(494\) | 116.431 | 0.235691 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 257.796 | − | 161.984i | 0.519751 | − | 0.326581i | ||||
\(497\) | 327.384 | − | 74.7233i | 0.658721 | − | 0.150349i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −611.573 | + | 487.713i | −1.22560 | + | 0.977381i | −0.225602 | + | 0.974220i | \(0.572435\pi\) |
−0.999995 | + | 0.00316117i | \(0.998994\pi\) | |||||||
\(500\) | 39.4967 | − | 173.046i | 0.0789934 | − | 0.346093i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −75.7395 | + | 157.275i | −0.150875 | + | 0.313296i | ||||
\(503\) | 418.298 | + | 262.834i | 0.831606 | + | 0.522533i | 0.879266 | − | 0.476331i | \(-0.158033\pi\) |
−0.0476598 | + | 0.998864i | \(0.515176\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 65.4208 | − | 65.4208i | 0.129546 | − | 0.129546i | ||||
\(506\) | −6.06701 | − | 12.5983i | −0.0119901 | − | 0.0248978i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 691.569 | + | 77.9211i | 1.36136 | + | 0.153388i | ||||
\(509\) | −658.293 | + | 317.017i | −1.29331 | + | 0.622823i | −0.948775 | − | 0.315952i | \(-0.897676\pi\) |
−0.344531 | + | 0.938775i | \(0.611962\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −40.7647 | + | 116.499i | −0.0797744 | + | 0.227982i | ||||
\(512\) | −237.068 | + | 377.292i | −0.463023 | + | 0.736898i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.54018 | + | 4.40157i | 0.00299645 | + | 0.00856337i | ||||
\(515\) | 67.6051 | + | 15.4304i | 0.131272 | + | 0.0299620i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −129.627 | + | 162.548i | −0.250730 | + | 0.314406i | ||||
\(518\) | 11.7681 | + | 51.5595i | 0.0227184 | + | 0.0995356i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.59641 | + | 31.9190i | 0.00691618 | + | 0.0613828i | ||||
\(521\) | 412.503i | 0.791753i | 0.918304 | + | 0.395876i | \(0.129559\pi\) | ||||
−0.918304 | + | 0.395876i | \(0.870441\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −54.7428 | −0.104671 | −0.0523354 | − | 0.998630i | \(-0.516666\pi\) | ||||
−0.0523354 | + | 0.998630i | \(0.516666\pi\) | |||||||
\(524\) | −278.301 | + | 31.3570i | −0.531110 | + | 0.0598417i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −133.602 | + | 30.4938i | −0.253996 | + | 0.0579730i | ||||
\(527\) | −519.210 | − | 414.056i | −0.985219 | − | 0.785686i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 114.745 | − | 502.733i | 0.216910 | − | 0.950346i | ||||
\(530\) | 11.1295 | − | 3.89439i | 0.0209991 | − | 0.00734790i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −225.287 | − | 141.557i | −0.423471 | − | 0.266084i | ||||
\(533\) | −351.720 | − | 123.072i | −0.659887 | − | 0.230904i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 25.1992 | + | 52.3267i | 0.0471013 | + | 0.0978069i | ||||
\(536\) | 20.7051 | − | 183.763i | 0.0386290 | − | 0.342842i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 116.458 | − | 56.0832i | 0.216465 | − | 0.104244i | ||||
\(539\) | 273.924 | + | 273.924i | 0.508208 | + | 0.508208i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.00071 | + | 9.55008i | −0.0110919 | + | 0.0176526i | −0.852224 | − | 0.523177i | \(-0.824747\pi\) |
0.841132 | + | 0.540829i | \(0.181890\pi\) | |||||||
\(542\) | −7.47680 | − | 3.60064i | −0.0137948 | − | 0.00664324i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 560.041 | + | 127.826i | 1.02949 | + | 0.234974i | ||||
\(545\) | −93.3962 | − | 117.115i | −0.171369 | − | 0.214890i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.9903 | − | 52.5331i | −0.0219202 | − | 0.0960385i | 0.962785 | − | 0.270270i | \(-0.0871130\pi\) |
−0.984705 | + | 0.174232i | \(0.944256\pi\) | |||||||
\(548\) | 402.074 | + | 639.897i | 0.733712 | + | 1.16770i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 92.2991i | 0.167817i | ||||||||
\(551\) | −11.7400 | − | 777.134i | −0.0213068 | − | 1.41041i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 107.261 | − | 12.0854i | 0.193962 | − | 0.0218543i | ||||
\(554\) | 109.399 | − | 68.7398i | 0.197471 | − | 0.124079i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 184.950 | + | 147.493i | 0.332644 | + | 0.265275i | ||||
\(557\) | −543.971 | + | 433.802i | −0.976608 | + | 0.778819i | −0.975233 | − | 0.221180i | \(-0.929009\pi\) |
−0.00137506 | + | 0.999999i | \(0.500438\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −243.761 | + | 85.2955i | −0.436066 | + | 0.152586i | ||||
\(560\) | 14.8265 | − | 30.7876i | 0.0264760 | − | 0.0549779i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −120.526 | − | 42.1740i | −0.214460 | − | 0.0750426i | ||||
\(563\) | 319.915 | − | 319.915i | 0.568233 | − | 0.568233i | −0.363400 | − | 0.931633i | \(-0.618384\pi\) |
0.931633 | + | 0.363400i | \(0.118384\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.25221 | − | 82.1156i | 0.0163756 | − | 0.145337i | ||||
\(566\) | 44.5578 | + | 5.02045i | 0.0787239 | + | 0.00887006i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −299.099 | − | 299.099i | −0.526582 | − | 0.526582i | ||||
\(569\) | −173.583 | + | 496.072i | −0.305067 | + | 0.871832i | 0.684660 | + | 0.728863i | \(0.259951\pi\) |
−0.989727 | + | 0.142969i | \(0.954335\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 619.219 | + | 298.200i | 1.08445 | + | 0.522242i | 0.888736 | − | 0.458419i | \(-0.151584\pi\) |
0.195711 | + | 0.980662i | \(0.437299\pi\) | |||||||
\(572\) | 120.438 | + | 344.192i | 0.210556 | + | 0.601735i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −24.2170 | − | 30.3671i | −0.0421898 | − | 0.0529044i | ||||
\(575\) | 54.8946 | − | 68.8357i | 0.0954689 | − | 0.119714i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −30.2263 | − | 48.1049i | −0.0523853 | − | 0.0833707i | 0.819505 | − | 0.573072i | \(-0.194249\pi\) |
−0.871890 | + | 0.489702i | \(0.837106\pi\) | |||||||
\(578\) | −29.7019 | − | 263.611i | −0.0513873 | − | 0.456075i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 103.971 | − | 13.3081i | 0.179261 | − | 0.0229449i | ||||
\(581\) | −343.501 | −0.591223 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 231.855 | − | 145.684i | 0.397694 | − | 0.249888i | ||||
\(584\) | 151.572 | − | 34.5954i | 0.259542 | − | 0.0592387i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −88.9769 | + | 70.9567i | −0.151838 | + | 0.121087i | ||||
\(587\) | 71.8016 | − | 314.583i | 0.122320 | − | 0.535917i | −0.876221 | − | 0.481910i | \(-0.839943\pi\) |
0.998541 | − | 0.0540076i | \(-0.0171995\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 254.039 | − | 527.518i | 0.431306 | − | 0.895616i | ||||
\(590\) | −6.10142 | − | 3.83378i | −0.0103414 | − | 0.00649793i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −480.762 | + | 480.762i | −0.812099 | + | 0.812099i | ||||
\(593\) | −209.288 | − | 434.591i | −0.352931 | − | 0.732869i | 0.646621 | − | 0.762812i | \(-0.276182\pi\) |
−0.999552 | + | 0.0299430i | \(0.990467\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −74.0666 | − | 8.34530i | −0.124482 | − | 0.0140257i | ||||
\(596\) | −104.843 | + | 50.4899i | −0.175912 | + | 0.0847146i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −5.24029 | + | 14.9759i | −0.00876302 | + | 0.0250433i | ||||
\(599\) | −452.046 | + | 719.427i | −0.754668 | + | 1.20105i | 0.219586 | + | 0.975593i | \(0.429529\pi\) |
−0.974254 | + | 0.225454i | \(0.927613\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 241.988 | + | 691.562i | 0.402642 | + | 1.15069i | 0.949584 | + | 0.313514i | \(0.101506\pi\) |
−0.546941 | + | 0.837171i | \(0.684208\pi\) | |||||||
\(602\) | −26.2440 | − | 5.99001i | −0.0435946 | − | 0.00995019i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −337.563 | + | 423.290i | −0.558878 | + | 0.700811i | ||||
\(605\) | 7.77737 | + | 34.0749i | 0.0128552 | + | 0.0563221i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −27.7513 | − | 246.300i | −0.0457188 | − | 0.405766i | −0.995640 | − | 0.0932767i | \(-0.970266\pi\) |
0.949921 | − | 0.312489i | \(-0.101163\pi\) | |||||||
\(608\) | 506.460i | 0.832993i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −36.7461 | −0.0602395 | ||||||||
\(611\) | 234.424 | − | 26.4132i | 0.383672 | − | 0.0432295i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.19680 | − | 0.273162i | 0.00195236 | − | 0.000445614i | −0.221545 | − | 0.975150i | \(-0.571110\pi\) |
0.223497 | + | 0.974705i | \(0.428253\pi\) | |||||||
\(614\) | 62.0765 | + | 49.5043i | 0.101102 | + | 0.0806260i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −17.3017 | + | 75.8038i | −0.0280872 | + | 0.123058i | ||||
\(617\) | 285.233 | − | 99.8075i | 0.462291 | − | 0.161762i | −0.0890772 | − | 0.996025i | \(-0.528392\pi\) |
0.551368 | + | 0.834262i | \(0.314106\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −272.432 | − | 171.181i | −0.440117 | − | 0.276544i | 0.293691 | − | 0.955900i | \(-0.405116\pi\) |
−0.733808 | + | 0.679356i | \(0.762259\pi\) | |||||||
\(620\) | 74.5319 | + | 26.0798i | 0.120213 | + | 0.0420642i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 33.4060 | + | 69.3683i | 0.0537074 | + | 0.111525i | ||||
\(623\) | 9.45256 | − | 83.8938i | 0.0151727 | − | 0.134661i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −503.501 | + | 242.473i | −0.805601 | + | 0.387957i | ||||
\(626\) | −124.707 | − | 124.707i | −0.199212 | − | 0.199212i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −56.3533 | + | 89.6858i | −0.0897346 | + | 0.142812i | ||||
\(629\) | 1336.14 | + | 643.449i | 2.12422 | + | 1.02297i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 680.376 | + | 155.291i | 1.07825 | + | 0.246103i | 0.724527 | − | 0.689247i | \(-0.242058\pi\) |
0.353723 | + | 0.935350i | \(0.384916\pi\) | |||||||
\(632\) | −84.7726 | − | 106.301i | −0.134134 | − | 0.168199i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −37.9298 | − | 166.181i | −0.0598262 | − | 0.262116i | ||||
\(635\) | 91.4488 | + | 145.540i | 0.144014 | + | 0.229197i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 439.560i | − | 0.690047i | ||||||
\(638\) | −104.235 | + | 38.2503i | −0.163378 | + | 0.0599534i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −89.7372 | + | 10.1110i | −0.140214 | + | 0.0157984i | ||||
\(641\) | 989.853 | − | 621.966i | 1.54423 | − | 0.970306i | 0.553748 | − | 0.832684i | \(-0.313197\pi\) |
0.990485 | − | 0.137621i | \(-0.0439457\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −234.086 | − | 186.677i | −0.364052 | − | 0.290322i | 0.424330 | − | 0.905508i | \(-0.360510\pi\) |
−0.788382 | + | 0.615186i | \(0.789081\pi\) | |||||||
\(644\) | 28.3473 | − | 22.6062i | 0.0440175 | − | 0.0351028i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 321.221 | − | 112.400i | 0.497247 | − | 0.173994i | ||||
\(647\) | −493.455 | + | 1024.67i | −0.762681 | + | 1.58372i | 0.0484269 | + | 0.998827i | \(0.484579\pi\) |
−0.811108 | + | 0.584897i | \(0.801135\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −157.952 | − | 55.2698i | −0.243377 | − | 0.0851614i | ||||
\(650\) | 74.0552 | − | 74.0552i | 0.113931 | − | 0.113931i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −44.2558 | + | 392.781i | −0.0678770 | + | 0.602425i | ||||
\(653\) | −609.259 | − | 68.6470i | −0.933015 | − | 0.105126i | −0.367648 | − | 0.929965i | \(-0.619837\pi\) |
−0.565367 | + | 0.824839i | \(0.691265\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −48.9109 | − | 48.9109i | −0.0746731 | − | 0.0746731i | ||||
\(656\) | 164.923 | − | 471.322i | 0.251407 | − | 0.718479i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 22.1545 | + | 10.6691i | 0.0336695 | + | 0.0162144i | ||||
\(659\) | −176.059 | − | 503.147i | −0.267161 | − | 0.763501i | −0.996820 | − | 0.0796900i | \(-0.974607\pi\) |
0.729659 | − | 0.683811i | \(-0.239679\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 620.208 | + | 777.717i | 0.938288 | + | 1.17658i | 0.984098 | + | 0.177626i | \(0.0568417\pi\) |
−0.0458100 | + | 0.998950i | \(0.514587\pi\) | |||||||
\(662\) | −19.8808 | + | 24.9297i | −0.0300314 | + | 0.0376581i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 230.202 | + | 366.365i | 0.346690 | + | 0.551754i | ||||
\(665\) | −7.35765 | − | 65.3010i | −0.0110641 | − | 0.0981970i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 100.487 | + | 33.4669i | 0.150655 | + | 0.0501752i | ||||
\(668\) | −1029.67 | −1.54142 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 18.9052 | − | 11.8789i | 0.0282168 | − | 0.0177298i | ||||
\(671\) | −831.957 | + | 189.889i | −1.23988 | + | 0.282994i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 314.226 | − | 250.587i | 0.466903 | − | 0.372343i | −0.361594 | − | 0.932336i | \(-0.617767\pi\) |
0.828498 | + | 0.559992i | \(0.189196\pi\) | |||||||
\(674\) | 28.2876 | − | 123.936i | 0.0419697 | − | 0.183881i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −100.984 | + | 209.695i | −0.149384 | + | 0.310199i | ||||
\(677\) | −424.331 | − | 266.625i | −0.626781 | − | 0.393833i | 0.180858 | − | 0.983509i | \(-0.442112\pi\) |
−0.807640 | + | 0.589676i | \(0.799255\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 78.2555 | − | 78.2555i | 0.115251 | − | 0.115251i | ||||
\(680\) | 40.7361 | + | 84.5893i | 0.0599060 | + | 0.124396i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −83.1169 | − | 9.36503i | −0.121872 | − | 0.0137317i | ||||
\(683\) | 344.482 | − | 165.894i | 0.504366 | − | 0.242890i | −0.164358 | − | 0.986401i | \(-0.552555\pi\) |
0.668724 | + | 0.743511i | \(0.266841\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −61.6474 | + | 176.178i | −0.0899963 | + | 0.257195i | ||||
\(686\) | 52.6368 | − | 83.7709i | 0.0767300 | − | 0.122115i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −114.300 | − | 326.652i | −0.166134 | − | 0.474784i | ||||
\(689\) | −302.915 | − | 69.1384i | −0.439645 | − | 0.100346i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −495.980 | + | 621.939i | −0.717771 | + | 0.900056i | −0.998209 | − | 0.0598158i | \(-0.980949\pi\) |
0.280439 | + | 0.959872i | \(0.409520\pi\) | |||||||
\(692\) | 107.580 | + | 471.341i | 0.155463 | + | 0.681129i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.175884 | + | 1.56101i | 0.000253435 | + | 0.00224930i | ||||
\(695\) | 58.4262i | 0.0840664i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1089.17 | −1.56265 | ||||||||
\(698\) | −94.4513 | + | 10.6421i | −0.135317 | + | 0.0152466i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −233.328 | + | 53.2556i | −0.333326 | + | 0.0760794i | ||||
\(701\) | 825.456 | + | 658.279i | 1.17754 | + | 0.939057i | 0.998993 | − | 0.0448739i | \(-0.0142886\pi\) |
0.178548 | + | 0.983931i | \(0.442860\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −290.944 | + | 1274.71i | −0.413860 | + | 1.81324i | ||||
\(704\) | −413.983 | + | 144.859i | −0.588044 | + | 0.205765i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −143.499 | − | 90.1663i | −0.203256 | − | 0.127714i | ||||
\(707\) | −239.856 | − | 83.9294i | −0.339259 | − | 0.118712i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 313.200 | + | 650.367i | 0.441749 | + | 0.917301i | 0.996364 | + | 0.0851945i | \(0.0271512\pi\) |
−0.554615 | + | 0.832107i | \(0.687135\pi\) | |||||||
\(710\) | 5.71810 | − | 50.7495i | 0.00805366 | − | 0.0714782i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −95.8127 | + | 46.1410i | −0.134568 | + | 0.0648048i | ||||
\(713\) | 56.4179 | + | 56.4179i | 0.0791275 | + | 0.0791275i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −47.9167 | + | 76.2589i | −0.0670163 | + | 0.106656i | ||||
\(716\) | 974.197 | + | 469.149i | 1.36061 | + | 0.655236i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −102.687 | − | 23.4377i | −0.143019 | − | 0.0326431i | ||||
\(719\) | 684.608 | + | 858.472i | 0.952167 | + | 1.19398i | 0.980924 | + | 0.194394i | \(0.0622739\pi\) |
−0.0287562 | + | 0.999586i | \(0.509155\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −42.3818 | − | 185.687i | −0.0587820 | − | 0.257541i | ||||
\(722\) | 79.4031 | + | 126.369i | 0.109977 | + | 0.175027i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 882.929i | 1.21952i | ||||||||
\(725\) | −501.757 | − | 486.823i | −0.692079 | − | 0.671480i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 31.1294 | − | 3.50744i | 0.0428190 | − | 0.00482454i | −0.0905290 | − | 0.995894i | \(-0.528856\pi\) |
0.133348 | + | 0.991069i | \(0.457427\pi\) | |||||||
\(728\) | 74.7022 | − | 46.9385i | 0.102613 | − | 0.0644759i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 14.6758 | + | 11.7036i | 0.0201039 | + | 0.0160323i | ||||
\(731\) | −590.167 | + | 470.643i | −0.807342 | + | 0.643834i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 143.446 | − | 50.1941i | 0.195698 | − | 0.0684776i | −0.230651 | − | 0.973037i | \(-0.574085\pi\) |
0.426348 | + | 0.904559i | \(0.359800\pi\) | |||||||
\(734\) | 84.0234 | − | 174.476i | 0.114473 | − | 0.237706i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −65.1430 | − | 22.7945i | −0.0885095 | − | 0.0309708i | ||||
\(737\) | 366.642 | − | 366.642i | 0.497479 | − | 0.497479i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 125.579 | − | 1114.55i | 0.169931 | − | 1.50818i | −0.562191 | − | 0.827008i | \(-0.690041\pi\) |
0.732122 | − | 0.681174i | \(-0.238530\pi\) | |||||||
\(740\) | −175.225 | − | 19.7431i | −0.236790 | − | 0.0266798i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −22.9005 | − | 22.9005i | −0.0308632 | − | 0.0308632i | ||||
\(743\) | 63.5004 | − | 181.474i | 0.0854649 | − | 0.244245i | −0.893217 | − | 0.449625i | \(-0.851558\pi\) |
0.978682 | + | 0.205381i | \(0.0658432\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −25.8944 | − | 12.4701i | −0.0347576 | − | 0.0167384i | ||||
\(746\) | 34.5965 | + | 98.8710i | 0.0463759 | + | 0.132535i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 664.552 | + | 833.322i | 0.888439 | + | 1.11407i | ||||
\(749\) | 99.4592 | − | 124.718i | 0.132789 | − | 0.166513i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −192.970 | − | 307.110i | −0.256950 | − | 0.408934i | 0.693191 | − | 0.720754i | \(-0.256204\pi\) |
−0.950141 | + | 0.311820i | \(0.899061\pi\) | |||||||
\(752\) | 35.3950 | + | 314.140i | 0.0470679 | + | 0.417739i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 114.322 | + | 52.9422i | 0.151620 | + | 0.0702151i | ||||
\(755\) | −133.718 | −0.177110 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −145.660 | + | 91.5245i | −0.192418 | + | 0.120904i | −0.624796 | − | 0.780788i | \(-0.714818\pi\) |
0.432377 | + | 0.901693i | \(0.357675\pi\) | |||||||
\(758\) | −199.722 | + | 45.5852i | −0.263485 | + | 0.0601387i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −64.7167 | + | 51.6098i | −0.0851536 | + | 0.0679077i | ||||
\(761\) | 64.7556 | − | 283.713i | 0.0850928 | − | 0.372816i | −0.914395 | − | 0.404824i | \(-0.867333\pi\) |
0.999488 | + | 0.0320077i | \(0.0101901\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −178.515 | + | 370.691i | −0.233965 | + | 0.485833i | ||||
\(764\) | 314.157 | + | 197.398i | 0.411201 | + | 0.258374i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 65.2418 | − | 65.2418i | 0.0851721 | − | 0.0851721i | ||||
\(767\) | 82.3859 | + | 171.076i | 0.107413 | + | 0.223046i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −609.620 | − | 68.6876i | −0.792743 | − | 0.0893207i | −0.293700 | − | 0.955898i | \(-0.594887\pi\) |
−0.499043 | + | 0.866577i | \(0.666315\pi\) | |||||||
\(770\) | −8.45805 | + | 4.07318i | −0.0109845 | + | 0.00528985i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 39.7015 | − | 113.460i | 0.0514268 | − | 0.146969i | ||||
\(773\) | 70.0120 | − | 111.423i | 0.0905718 | − | 0.144144i | −0.798365 | − | 0.602173i | \(-0.794302\pi\) |
0.888937 | + | 0.458029i | \(0.151444\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −173.944 | − | 497.103i | −0.224444 | − | 0.641424i | ||||
\(776\) | −135.908 | − | 31.0202i | −0.175140 | − | 0.0399745i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −107.347 | + | 134.609i | −0.137978 | + | 0.173019i | ||||
\(779\) | −213.680 | − | 936.192i | −0.274300 | − | 1.20179i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −132.791 | − | 1178.55i | −0.170027 | − | 1.50903i | ||||
\(782\) | 46.3757i | 0.0593040i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 589.033 | 0.751318 | ||||||||
\(785\) | −25.9961 | + | 2.92906i | −0.0331160 | + | 0.00373128i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −729.969 | + | 166.611i | −0.927534 | + | 0.211704i | −0.659499 | − | 0.751705i | \(-0.729232\pi\) |
−0.268035 | + | 0.963409i | \(0.586374\pi\) | |||||||
\(788\) | −304.468 | − | 242.805i | −0.386381 | − | 0.308128i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.65291 | − | 16.0045i | 0.00462394 | − | 0.0202588i | ||||
\(791\) | −214.233 | + | 74.9632i | −0.270838 | + | 0.0947702i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 819.867 | + | 515.156i | 1.03388 | + | 0.649630i | ||||
\(794\) | 28.6602 | + | 10.0287i | 0.0360960 | + | 0.0126305i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −259.729 | − | 539.333i | −0.326293 | − | 0.677554i | ||||
\(797\) | 145.956 | − | 1295.40i | 0.183132 | − | 1.62534i | −0.480298 | − | 0.877105i | \(-0.659471\pi\) |
0.663430 | − | 0.748238i | \(-0.269100\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 621.251 | − | 299.179i | 0.777536 | − | 0.374442i | ||||
\(800\) | 322.130 | + | 322.130i | 0.402662 | + | 0.402662i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 115.585 | − | 183.952i | 0.144121 | − | 0.229367i | ||||
\(803\) | 392.750 | + | 189.139i | 0.489104 | + | 0.235540i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 8.73044 | + | 1.99267i | 0.0108453 | + | 0.00247536i | ||||
\(806\) | 59.1740 | + | 74.2019i | 0.0734169 | + | 0.0920619i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 71.2275 | + | 312.068i | 0.0881529 | + | 0.386223i | ||||
\(809\) | 471.755 | + | 750.793i | 0.583133 | + | 0.928051i | 0.999819 | + | 0.0190007i | \(0.00604849\pi\) |
−0.416686 | + | 0.909050i | \(0.636809\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 1145.79i | − | 1.41281i | −0.707806 | − | 0.706407i | \(-0.750315\pi\) | ||
0.707806 | − | 0.706407i | \(-0.249685\pi\) | |||||||
\(812\) | −156.838 | − | 241.432i | −0.193150 | − | 0.297330i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 185.610 | − | 20.9132i | 0.228021 | − | 0.0256919i | ||||
\(815\) | −82.6604 | + | 51.9390i | −0.101424 | + | 0.0637288i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −520.322 | − | 414.943i | −0.636869 | − | 0.507886i | ||||
\(818\) | −96.5879 | + | 77.0263i | −0.118078 | + | 0.0941642i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 122.238 | − | 42.7730i | 0.149071 | − | 0.0521622i | ||||
\(821\) | −215.229 | + | 446.927i | −0.262155 | + | 0.544370i | −0.989949 | − | 0.141426i | \(-0.954831\pi\) |
0.727794 | + | 0.685795i | \(0.240546\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1480.63 | + | 518.096i | 1.79907 | + | 0.629521i | 0.999584 | + | 0.0288316i | \(0.00917867\pi\) |
0.799483 | + | 0.600689i | \(0.205107\pi\) | |||||||
\(824\) | −169.644 | + | 169.644i | −0.205878 | + | 0.205878i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.21601 | + | 19.6676i | −0.00268282 | + | 0.0238107i | ||||
\(827\) | 373.230 | + | 42.0530i | 0.451306 | + | 0.0508500i | 0.334693 | − | 0.942327i | \(-0.391367\pi\) |
0.116614 | + | 0.993177i | \(0.462796\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.6142 | + | 12.6142i | 0.0152162 | + | 0.0152162i | 0.714674 | − | 0.699458i | \(-0.246575\pi\) |
−0.699458 | + | 0.714674i | \(0.746575\pi\) | |||||||
\(830\) | −17.2542 | + | 49.3097i | −0.0207882 | + | 0.0594093i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 448.380 | + | 215.929i | 0.538919 | + | 0.259530i | ||||
\(833\) | −424.342 | − | 1212.70i | −0.509414 | − | 1.45582i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −158.559 | − | 198.827i | −0.189892 | − | 0.238117i | ||||
\(836\) | −585.904 | + | 734.700i | −0.700842 | + | 0.878828i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 30.5891 | + | 48.6823i | 0.0365025 | + | 0.0580934i | ||||
\(839\) | −40.7280 | − | 361.471i | −0.0485435 | − | 0.430835i | −0.994354 | − | 0.106116i | \(-0.966159\pi\) |
0.945810 | − | 0.324720i | \(-0.105270\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 341.842 | − | 768.391i | 0.406470 | − | 0.913664i | ||||
\(842\) | −181.816 | −0.215933 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 65.8775 | − | 41.3936i | 0.0780539 | − | 0.0490445i | ||||
\(845\) | −56.0423 | + | 12.7913i | −0.0663223 | + | 0.0151376i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 75.0545 | − | 59.8540i | 0.0886122 | − | 0.0706659i | ||||
\(848\) | 92.6490 | − | 405.922i | 0.109256 | − | 0.478681i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 132.819 | − | 275.802i | 0.156258 | − | 0.324472i | ||||
\(851\) | −150.864 | − | 94.7939i | −0.177278 | − | 0.111391i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 797.728 | − | 797.728i | 0.935202 | − | 0.935202i | −0.0628224 | − | 0.998025i | \(-0.520010\pi\) |
0.998025 | + | 0.0628224i | \(0.0200102\pi\) | |||||||
\(854\) | 43.7912 | + | 90.9333i | 0.0512777 | + | 0.106479i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −199.674 | − | 22.4978i | −0.233263 | − | 0.0262825i | ||||
\(857\) | −608.706 | + | 293.137i | −0.710275 | + | 0.342051i | −0.753892 | − | 0.656998i | \(-0.771826\pi\) |
0.0436173 | + | 0.999048i | \(0.486112\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 296.164 | − | 846.388i | 0.344777 | − | 0.985317i | −0.632722 | − | 0.774379i | \(-0.718062\pi\) |
0.977499 | − | 0.210938i | \(-0.0676519\pi\) | |||||||
\(860\) | 47.7522 | − | 75.9972i | 0.0555258 | − | 0.0883688i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 23.7811 | + | 67.9624i | 0.0275883 | + | 0.0788427i | ||||
\(863\) | 623.656 | + | 142.345i | 0.722660 | + | 0.164942i | 0.568004 | − | 0.823026i | \(-0.307716\pi\) |
0.154656 | + | 0.987968i | \(0.450573\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −74.4488 | + | 93.3558i | −0.0860680 | + | 0.107926i | ||||
\(866\) | −4.61166 | − | 20.2050i | −0.00532525 | − | 0.0233314i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −24.2832 | − | 215.519i | −0.0279760 | − | 0.248294i | ||||
\(869\) | − | 381.229i | − | 0.438698i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −588.343 | −0.675480 | ||||||||
\(872\) | 514.999 | − | 58.0265i | 0.590596 | − | 0.0665442i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −39.8621 | + | 9.09827i | −0.0456089 | + | 0.0104099i | ||||
\(875\) | −94.1392 | − | 75.0735i | −0.107588 | − | 0.0857983i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 210.603 | − | 922.713i | 0.240140 | − | 1.05212i | −0.700748 | − | 0.713409i | \(-0.747150\pi\) |
0.940889 | − | 0.338716i | \(-0.109992\pi\) | |||||||
\(878\) | −76.8673 | + | 26.8970i | −0.0875481 | + | 0.0306344i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −102.191 | − | 64.2108i | −0.116126 | − | 0.0729668i | ||||
\(881\) | −609.457 | − | 213.258i | −0.691778 | − | 0.242064i | −0.0385856 | − | 0.999255i | \(-0.512285\pi\) |
−0.653193 | + | 0.757192i | \(0.726571\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −670.866 | − | 1393.07i | −0.759758 | − | 1.57765i | −0.815192 | − | 0.579191i | \(-0.803368\pi\) |
0.0554336 | − | 0.998462i | \(-0.482346\pi\) | |||||||
\(884\) | 135.411 | − | 1201.80i | 0.153180 | − | 1.35951i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −90.9236 | + | 43.7865i | −0.102623 | + | 0.0494204i | ||||
\(887\) | −229.854 | − | 229.854i | −0.259137 | − | 0.259137i | 0.565566 | − | 0.824703i | \(-0.308658\pi\) |
−0.824703 | + | 0.565566i | \(0.808658\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 251.177 | − | 399.746i | 0.282539 | − | 0.449658i | ||||
\(890\) | −11.5682 | − | 5.57095i | −0.0129980 | − | 0.00625949i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −947.677 | − | 216.301i | −1.06242 | − | 0.242490i | ||||
\(893\) | 379.039 | + | 475.300i | 0.424456 | + | 0.532251i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 59.4256 | + | 260.361i | 0.0663973 | + | 0.290906i | ||||
\(896\) | 131.963 | + | 210.018i | 0.147280 | + | 0.234395i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 208.393i | 0.232063i | ||||||||
\(899\) | 489.303 | − | 402.446i | 0.544274 | − | 0.447660i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −902.455 | + | 101.682i | −1.00162 | + | 0.112855i | ||||
\(902\) | −116.154 | + | 72.9847i | −0.128774 | + | 0.0809143i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 223.524 | + | 178.255i | 0.247261 | + | 0.197184i | ||||
\(905\) | −170.492 | + | 135.963i | −0.188389 | + | 0.150235i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 418.178 | − | 146.327i | 0.461056 | − | 0.161331i | −0.0897489 | − | 0.995964i | \(-0.528606\pi\) |
0.550805 | + | 0.834634i | \(0.314321\pi\) | |||||||
\(908\) | 695.833 | − | 1444.91i | 0.766336 | − | 1.59131i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 10.0543 | + | 3.51815i | 0.0110487 | + | 0.00386610i | ||||
\(911\) | −76.1750 | + | 76.1750i | −0.0836169 | + | 0.0836169i | −0.747678 | − | 0.664061i | \(-0.768831\pi\) |
0.664061 | + | 0.747678i | \(0.268831\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −135.835 | + | 1205.57i | −0.148779 | + | 1.32045i | ||||
\(914\) | −87.1379 | − | 9.81808i | −0.0953369 | − | 0.0107419i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −713.774 | − | 713.774i | −0.779230 | − | 0.779230i | ||||
\(917\) | −62.7485 | + | 179.325i | −0.0684281 | + | 0.195556i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 265.995 | + | 128.097i | 0.289440 | + | 0.139387i | 0.572970 | − | 0.819577i | \(-0.305791\pi\) |
−0.283530 | + | 0.958963i | \(0.591506\pi\) | |||||||
\(920\) | −3.72554 | − | 10.6470i | −0.00404950 | − | 0.0115728i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −63.3808 | − | 79.4770i | −0.0687427 | − | 0.0862007i | ||||
\(923\) | −839.056 | + | 1052.14i | −0.909054 | + | 1.13992i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 625.715 | + | 995.820i | 0.676449 | + | 1.07656i | ||||
\(926\) | 33.2101 | + | 294.748i | 0.0358641 | + | 0.318302i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −230.291 | + | 497.283i | −0.248159 | + | 0.535865i | ||||
\(929\) | 1710.91 | 1.84167 | 0.920834 | − | 0.389954i | \(-0.127509\pi\) | ||||
0.920834 | + | 0.389954i | \(0.127509\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 959.123 | − | 602.657i | 1.03021 | − | 0.647322i | ||||
\(932\) | 870.131 | − | 198.602i | 0.933617 | − | 0.213092i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −260.753 | + | 207.944i | −0.279179 | + | 0.222638i | ||||
\(935\) | −58.5782 | + | 256.648i | −0.0626505 | + | 0.274490i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −276.504 | + | 574.166i | −0.295095 | + | 0.612770i | −0.994821 | − | 0.101641i | \(-0.967591\pi\) |
0.699727 | + | 0.714411i | \(0.253305\pi\) | |||||||
\(938\) | −51.9259 | − | 32.6272i | −0.0553581 | − | 0.0347838i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −57.9744 | + | 57.9744i | −0.0616749 | + | 0.0616749i | ||||
\(941\) | −287.782 | − | 597.585i | −0.305825 | − | 0.635053i | 0.690249 | − | 0.723572i | \(-0.257501\pi\) |
−0.996074 | + | 0.0885189i | \(0.971787\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 130.034 | + | 14.6513i | 0.137894 | + | 0.0155369i | ||||
\(944\) | −229.251 | + | 110.401i | −0.242850 | + | 0.116951i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −31.4009 | + | 89.7385i | −0.0331933 | + | 0.0948610i | ||||
\(947\) | −147.849 | + | 235.300i | −0.156123 | + | 0.248468i | −0.915622 | − | 0.402040i | \(-0.868301\pi\) |
0.759499 | + | 0.650508i | \(0.225444\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −163.366 | − | 466.872i | −0.172145 | − | 0.491962i | ||||
\(950\) | 263.122 | + | 60.0558i | 0.276970 | + | 0.0632167i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 160.782 | − | 201.614i | 0.168889 | − | 0.211780i | ||||
\(953\) | −82.1839 | − | 360.071i | −0.0862370 | − | 0.377829i | 0.913331 | − | 0.407218i | \(-0.133501\pi\) |
−0.999568 | + | 0.0293889i | \(0.990644\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 10.2601 | + | 91.0608i | 0.0107435 | + | 0.0953516i | ||||
\(956\) | − | 636.808i | − | 0.666117i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −203.438 | −0.212356 | ||||||||
\(959\) | 509.444 | − | 57.4006i | 0.531224 | − | 0.0598546i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −471.607 | + | 107.641i | −0.490746 | + | 0.112009i | ||||
\(962\) | −165.701 | − | 132.142i | −0.172247 | − | 0.137362i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 234.695 | − | 1028.26i | 0.243459 | − | 1.06666i | ||||
\(965\) | 28.0227 | − | 9.80556i | 0.0290390 | − | 0.0101612i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1069.74 | + | 672.164i | 1.10625 | + | 0.695102i | 0.955947 | − | 0.293538i | \(-0.0948329\pi\) |
0.150301 | + | 0.988640i | \(0.451976\pi\) | |||||||
\(968\) | −114.137 | − | 39.9382i | −0.117910 | − | 0.0412585i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −7.30280 | − | 15.1644i | −0.00752866 | − | 0.0156334i | ||||
\(971\) | −47.2445 | + | 419.307i | −0.0486555 | + | 0.431830i | 0.945644 | + | 0.325204i | \(0.105433\pi\) |
−0.994299 | + | 0.106625i | \(0.965995\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 144.584 | − | 69.6278i | 0.148596 | − | 0.0715599i | ||||
\(974\) | 34.4360 | + | 34.4360i | 0.0353552 | + | 0.0353552i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −690.336 | + | 1098.66i | −0.707311 | + | 1.12568i | ||||
\(977\) | −1121.97 | − | 540.311i | −1.14838 | − | 0.553031i | −0.239833 | − | 0.970814i | \(-0.577093\pi\) |
−0.908547 | + | 0.417784i | \(0.862807\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −290.700 | − | 66.3505i | −0.296936 | − | 0.0677737i | ||||
\(980\) | 95.2484 | + | 119.438i | 0.0971923 | + | 0.121875i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 62.8580 | + | 275.399i | 0.0640102 | + | 0.280447i | ||||
\(983\) | 293.062 | + | 466.406i | 0.298131 | + | 0.474472i | 0.961876 | − | 0.273487i | \(-0.0881769\pi\) |
−0.663745 | + | 0.747959i | \(0.731034\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | − | 96.1821i | − | 0.0976468i | ||||||
\(986\) | 366.510 | + | 35.6982i | 0.371714 | + | 0.0362051i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1059.57 | − | 119.385i | 1.07244 | − | 0.120835i | ||||
\(989\) | 76.7902 | − | 48.2505i | 0.0776443 | − | 0.0487871i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 258.790 | + | 206.378i | 0.261140 | + | 0.208252i | 0.745303 | − | 0.666725i | \(-0.232305\pi\) |
−0.484164 | + | 0.874977i | \(0.660876\pi\) | |||||||
\(992\) | −322.768 | + | 257.399i | −0.325371 | + | 0.259475i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −132.401 | + | 46.3292i | −0.133200 | + | 0.0466088i | ||||
\(995\) | 64.1485 | − | 133.206i | 0.0644709 | − | 0.133875i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1064.53 | − | 372.496i | −1.06773 | − | 0.373616i | −0.261494 | − | 0.965205i | \(-0.584215\pi\) |
−0.806240 | + | 0.591589i | \(0.798501\pi\) | |||||||
\(998\) | 231.051 | − | 231.051i | 0.231514 | − | 0.231514i | ||||
\(999\) | 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 | 261.3.s.a.73.2 | 48 | ||
3.2 | odd | 2 | 29.3.f.a.15.3 | yes | 48 | ||
29.2 | odd | 28 | inner | 261.3.s.a.118.2 | 48 | ||
87.2 | even | 28 | 29.3.f.a.2.3 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.2.3 | ✓ | 48 | 87.2 | even | 28 | ||
29.3.f.a.15.3 | yes | 48 | 3.2 | odd | 2 | ||
261.3.s.a.73.2 | 48 | 1.1 | even | 1 | trivial | ||
261.3.s.a.118.2 | 48 | 29.2 | odd | 28 | inner |