Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,3,Mod(26,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.26");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.l (of order \(10\), 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: | \(2.69755461717\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 80.2 | ||
Character | \(\chi\) | \(=\) | 99.80 |
Dual form | 99.3.l.a.26.2 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.75181 | − | 2.41117i | −0.875907 | − | 1.20558i | −0.977538 | − | 0.210760i | \(-0.932406\pi\) |
0.101631 | − | 0.994822i | \(-0.467594\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.50880 | + | 4.64360i | −0.377199 | + | 1.16090i | ||||
\(5\) | 4.61811 | − | 6.35629i | 0.923623 | − | 1.27126i | −0.0386732 | − | 0.999252i | \(-0.512313\pi\) |
0.962296 | − | 0.272005i | \(-0.0876869\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.867699 | − | 2.67050i | 0.123957 | − | 0.381500i | −0.869753 | − | 0.493488i | \(-0.835722\pi\) |
0.993710 | + | 0.111988i | \(0.0357217\pi\) | |||||||
\(8\) | 2.50164 | − | 0.812833i | 0.312705 | − | 0.101604i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −23.4161 | −2.34161 | ||||||||
\(11\) | −8.89568 | − | 6.47047i | −0.808698 | − | 0.588224i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.22806 | − | 0.892235i | 0.0944658 | − | 0.0686334i | −0.539550 | − | 0.841954i | \(-0.681406\pi\) |
0.634016 | + | 0.773320i | \(0.281406\pi\) | |||||||
\(14\) | −7.95907 | + | 2.58606i | −0.568505 | + | 0.184719i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 9.45804 | + | 6.87167i | 0.591128 | + | 0.429479i | ||||
\(17\) | −15.5170 | + | 21.3573i | −0.912765 | + | 1.25631i | 0.0534480 | + | 0.998571i | \(0.482979\pi\) |
−0.966213 | + | 0.257743i | \(0.917021\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.49342 | − | 13.8293i | −0.236496 | − | 0.727859i | −0.996919 | − | 0.0784318i | \(-0.975009\pi\) |
0.760424 | − | 0.649427i | \(-0.224991\pi\) | |||||||
\(20\) | 22.5483 | + | 31.0350i | 1.12741 | + | 1.55175i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0177905 | + | 32.7840i | −0.000808661 | + | 1.49018i | ||||
\(23\) | − | 25.0726i | − | 1.09011i | −0.838399 | − | 0.545057i | \(-0.816508\pi\) | ||
0.838399 | − | 0.545057i | \(-0.183492\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −11.3500 | − | 34.9317i | −0.454000 | − | 1.39727i | ||||
\(26\) | −4.30265 | − | 1.39802i | −0.165487 | − | 0.0537698i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 11.0916 | + | 8.05850i | 0.396127 | + | 0.287803i | ||||
\(29\) | 48.2284 | + | 15.6704i | 1.66305 | + | 0.540358i | 0.981508 | − | 0.191422i | \(-0.0613098\pi\) |
0.681542 | + | 0.731779i | \(0.261310\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 41.7844 | − | 30.3581i | 1.34788 | − | 0.979295i | 0.348770 | − | 0.937208i | \(-0.386599\pi\) |
0.999114 | − | 0.0420867i | \(-0.0134006\pi\) | |||||||
\(32\) | − | 45.3643i | − | 1.41764i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 78.6790 | 2.31409 | ||||||||
\(35\) | −12.9674 | − | 17.8480i | −0.370496 | − | 0.509944i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.04322 | + | 18.5991i | −0.163330 | + | 0.502679i | −0.998909 | − | 0.0466912i | \(-0.985132\pi\) |
0.835579 | + | 0.549370i | \(0.185132\pi\) | |||||||
\(38\) | −25.4731 | + | 35.0608i | −0.670346 | + | 0.922652i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.38627 | − | 19.6549i | 0.159657 | − | 0.491373i | ||||
\(41\) | −29.4212 | + | 9.55953i | −0.717591 | + | 0.233159i | −0.644978 | − | 0.764201i | \(-0.723134\pi\) |
−0.0726124 | + | 0.997360i | \(0.523134\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.11848 | 0.0492670 | 0.0246335 | − | 0.999697i | \(-0.492158\pi\) | ||||
0.0246335 | + | 0.999697i | \(0.492158\pi\) | |||||||
\(44\) | 43.4680 | − | 31.5454i | 0.987910 | − | 0.716940i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −60.4543 | + | 43.9226i | −1.31422 | + | 0.954839i | ||||
\(47\) | 38.2998 | − | 12.4444i | 0.814890 | − | 0.264774i | 0.128222 | − | 0.991745i | \(-0.459073\pi\) |
0.686667 | + | 0.726972i | \(0.259073\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 33.2631 | + | 24.1671i | 0.678840 | + | 0.493206i | ||||
\(50\) | −64.3430 | + | 88.5605i | −1.28686 | + | 1.77121i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.29029 | + | 7.04880i | 0.0440441 | + | 0.135554i | ||||
\(53\) | 24.1836 | + | 33.2859i | 0.456295 | + | 0.628036i | 0.973735 | − | 0.227683i | \(-0.0731151\pi\) |
−0.517441 | + | 0.855719i | \(0.673115\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −82.2094 | + | 26.6621i | −1.49472 | + | 0.484766i | ||||
\(56\) | − | 7.38594i | − | 0.131892i | ||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −46.7034 | − | 143.738i | −0.805231 | − | 2.47825i | ||||
\(59\) | 91.3627 | + | 29.6855i | 1.54852 | + | 0.503145i | 0.953712 | − | 0.300723i | \(-0.0972279\pi\) |
0.594808 | + | 0.803868i | \(0.297228\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.34234 | + | 1.70181i | 0.0383990 | + | 0.0278985i | 0.606819 | − | 0.794840i | \(-0.292445\pi\) |
−0.568420 | + | 0.822738i | \(0.692445\pi\) | |||||||
\(62\) | −146.397 | − | 47.5673i | −2.36124 | − | 0.767214i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −71.5487 | + | 51.9832i | −1.11795 | + | 0.812237i | ||||
\(65\) | − | 11.9263i | − | 0.183482i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −88.2869 | −1.31772 | −0.658858 | − | 0.752268i | \(-0.728960\pi\) | ||||
−0.658858 | + | 0.752268i | \(0.728960\pi\) | |||||||
\(68\) | −75.7629 | − | 104.279i | −1.11416 | − | 1.53351i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −20.3182 | + | 62.5329i | −0.290259 | + | 0.893326i | ||||
\(71\) | 6.65733 | − | 9.16303i | 0.0937652 | − | 0.129057i | −0.759557 | − | 0.650441i | \(-0.774584\pi\) |
0.853322 | + | 0.521384i | \(0.174584\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 32.3776 | − | 99.6480i | 0.443529 | − | 1.36504i | −0.440560 | − | 0.897723i | \(-0.645220\pi\) |
0.884089 | − | 0.467318i | \(-0.154780\pi\) | |||||||
\(74\) | 55.4322 | − | 18.0110i | 0.749083 | − | 0.243392i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 70.9975 | 0.934178 | ||||||||
\(77\) | −24.9982 | + | 18.1415i | −0.324652 | + | 0.235604i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −13.5822 | + | 9.86808i | −0.171927 | + | 0.124912i | −0.670421 | − | 0.741981i | \(-0.733887\pi\) |
0.498494 | + | 0.866893i | \(0.333887\pi\) | |||||||
\(80\) | 87.3566 | − | 28.3839i | 1.09196 | − | 0.354799i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 74.5901 | + | 54.1929i | 0.909636 | + | 0.660889i | ||||
\(83\) | −13.3848 | + | 18.4226i | −0.161263 | + | 0.221959i | −0.882000 | − | 0.471249i | \(-0.843803\pi\) |
0.720738 | + | 0.693208i | \(0.243803\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 64.0940 | + | 197.261i | 0.754048 | + | 2.32072i | ||||
\(86\) | −3.71118 | − | 5.10801i | −0.0431533 | − | 0.0593954i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −27.5132 | − | 8.95610i | −0.312650 | − | 0.101774i | ||||
\(89\) | − | 30.7523i | − | 0.345531i | −0.984963 | − | 0.172766i | \(-0.944730\pi\) | ||
0.984963 | − | 0.172766i | \(-0.0552703\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.31713 | − | 4.05372i | −0.0144740 | − | 0.0445463i | ||||
\(92\) | 116.427 | + | 37.8295i | 1.26551 | + | 0.411191i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −97.0996 | − | 70.5470i | −1.03297 | − | 0.750500i | ||||
\(95\) | −108.654 | − | 35.3039i | −1.14373 | − | 0.371620i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 23.0800 | − | 16.7686i | 0.237939 | − | 0.172872i | −0.462426 | − | 0.886658i | \(-0.653021\pi\) |
0.700364 | + | 0.713785i | \(0.253021\pi\) | |||||||
\(98\) | − | 122.539i | − | 1.25040i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 179.334 | 1.79334 | ||||||||
\(101\) | −1.99764 | − | 2.74952i | −0.0197786 | − | 0.0272230i | 0.799013 | − | 0.601314i | \(-0.205356\pi\) |
−0.818792 | + | 0.574091i | \(0.805356\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.89465 | − | 21.2195i | 0.0669383 | − | 0.206015i | −0.911993 | − | 0.410207i | \(-0.865457\pi\) |
0.978931 | + | 0.204192i | \(0.0654566\pi\) | |||||||
\(104\) | 2.34692 | − | 3.23026i | 0.0225665 | − | 0.0310602i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 37.8926 | − | 116.621i | 0.357477 | − | 1.10020i | ||||
\(107\) | −12.2413 | + | 3.97744i | −0.114405 | + | 0.0371724i | −0.365660 | − | 0.930749i | \(-0.619157\pi\) |
0.251255 | + | 0.967921i | \(0.419157\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 109.301 | 1.00277 | 0.501383 | − | 0.865226i | \(-0.332825\pi\) | ||||
0.501383 | + | 0.865226i | \(0.332825\pi\) | |||||||
\(110\) | 208.302 | + | 151.513i | 1.89366 | + | 1.37739i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 26.5575 | − | 19.2952i | 0.237121 | − | 0.172278i | ||||
\(113\) | −87.5285 | + | 28.4397i | −0.774589 | + | 0.251679i | −0.669528 | − | 0.742787i | \(-0.733504\pi\) |
−0.105061 | + | 0.994466i | \(0.533504\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −159.369 | − | 115.788i | −1.38582 | − | 1.00685i | ||||
\(116\) | −145.534 | + | 200.310i | −1.25460 | + | 1.72681i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −88.4737 | − | 272.294i | −0.749777 | − | 2.30758i | ||||
\(119\) | 43.5707 | + | 59.9700i | 0.366141 | + | 0.503949i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 37.2661 | + | 115.118i | 0.307985 | + | 0.951391i | ||||
\(122\) | − | 8.62901i | − | 0.0707296i | ||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 77.9269 | + | 239.834i | 0.628443 | + | 1.93415i | ||||
\(125\) | −87.6447 | − | 28.4775i | −0.701158 | − | 0.227820i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.70109 | + | 4.86862i | 0.0527645 | + | 0.0383356i | 0.613855 | − | 0.789419i | \(-0.289618\pi\) |
−0.561090 | + | 0.827755i | \(0.689618\pi\) | |||||||
\(128\) | 78.1040 | + | 25.3775i | 0.610187 | + | 0.198262i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −28.7563 | + | 20.8927i | −0.221202 | + | 0.160713i | ||||
\(131\) | 1.63767i | 0.0125013i | 0.999980 | + | 0.00625065i | \(0.00198966\pi\) | ||||
−0.999980 | + | 0.00625065i | \(0.998010\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −40.8302 | −0.306994 | ||||||||
\(134\) | 154.662 | + | 212.874i | 1.15420 | + | 1.58861i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −21.4581 | + | 66.0412i | −0.157780 | + | 0.485597i | ||||
\(137\) | −116.451 | + | 160.281i | −0.850008 | + | 1.16994i | 0.133853 | + | 0.991001i | \(0.457265\pi\) |
−0.983861 | + | 0.178935i | \(0.942735\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −57.9241 | + | 178.272i | −0.416720 | + | 1.28253i | 0.493982 | + | 0.869472i | \(0.335541\pi\) |
−0.910703 | + | 0.413062i | \(0.864459\pi\) | |||||||
\(140\) | 102.444 | − | 33.2861i | 0.731744 | − | 0.237758i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −33.7560 | −0.237718 | ||||||||
\(143\) | −16.6976 | − | 0.00906108i | −0.116766 | − | 6.33642e-5i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 322.330 | − | 234.186i | 2.22296 | − | 1.61508i | ||||
\(146\) | −296.987 | + | 96.4970i | −2.03416 | + | 0.660939i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −77.2489 | − | 56.1246i | −0.521952 | − | 0.379220i | ||||
\(149\) | 140.590 | − | 193.505i | 0.943555 | − | 1.29869i | −0.0107766 | − | 0.999942i | \(-0.503430\pi\) |
0.954331 | − | 0.298750i | \(-0.0965696\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.1318 | + | 55.8039i | 0.120078 | + | 0.369562i | 0.992972 | − | 0.118347i | \(-0.0377596\pi\) |
−0.872894 | + | 0.487909i | \(0.837760\pi\) | |||||||
\(152\) | −22.4819 | − | 30.9436i | −0.147907 | − | 0.203577i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 87.5343 | + | 28.4942i | 0.568405 | + | 0.185027i | ||||
\(155\) | − | 405.791i | − | 2.61801i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.31024 | + | 19.4209i | 0.0401926 | + | 0.123700i | 0.969140 | − | 0.246513i | \(-0.0792847\pi\) |
−0.928947 | + | 0.370213i | \(0.879285\pi\) | |||||||
\(158\) | 47.5871 | + | 15.4620i | 0.301184 | + | 0.0978607i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −288.349 | − | 209.498i | −1.80218 | − | 1.30936i | ||||
\(161\) | −66.9566 | − | 21.7555i | −0.415879 | − | 0.135127i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −84.5857 | + | 61.4551i | −0.518931 | + | 0.377025i | −0.816201 | − | 0.577768i | \(-0.803924\pi\) |
0.297270 | + | 0.954793i | \(0.403924\pi\) | |||||||
\(164\) | − | 151.044i | − | 0.920999i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 67.8676 | 0.408841 | ||||||||
\(167\) | −23.0472 | − | 31.7217i | −0.138007 | − | 0.189950i | 0.734419 | − | 0.678696i | \(-0.237455\pi\) |
−0.872426 | + | 0.488746i | \(0.837455\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −51.5118 | + | 158.537i | −0.304804 | + | 0.938089i | ||||
\(170\) | 363.348 | − | 500.106i | 2.13734 | − | 2.94180i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.19636 | + | 9.83738i | −0.0185835 | + | 0.0571940i | ||||
\(173\) | −86.9529 | + | 28.2527i | −0.502618 | + | 0.163310i | −0.549342 | − | 0.835597i | \(-0.685122\pi\) |
0.0467245 | + | 0.998908i | \(0.485122\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −103.134 | −0.589334 | ||||||||
\(176\) | −39.6728 | − | 122.326i | −0.225414 | − | 0.695035i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −74.1488 | + | 53.8723i | −0.416566 | + | 0.302653i | ||||
\(179\) | −207.504 | + | 67.4220i | −1.15924 | + | 0.376659i | −0.824616 | − | 0.565693i | \(-0.808609\pi\) |
−0.334623 | + | 0.942352i | \(0.608609\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 36.2608 | + | 26.3450i | 0.200336 | + | 0.145553i | 0.683431 | − | 0.730016i | \(-0.260487\pi\) |
−0.483094 | + | 0.875568i | \(0.660487\pi\) | |||||||
\(182\) | −7.46681 | + | 10.2772i | −0.0410264 | + | 0.0564680i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −20.3799 | − | 62.7228i | −0.110760 | − | 0.340885i | ||||
\(185\) | 90.3131 | + | 124.305i | 0.488179 | + | 0.671921i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 276.226 | − | 89.5857i | 1.47715 | − | 0.479068i | ||||
\(188\) | 196.625i | 1.04588i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 105.219 | + | 323.829i | 0.553782 | + | 1.70436i | ||||
\(191\) | 141.682 | + | 46.0353i | 0.741790 | + | 0.241022i | 0.655445 | − | 0.755243i | \(-0.272481\pi\) |
0.0863454 | + | 0.996265i | \(0.472481\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −156.712 | − | 113.858i | −0.811978 | − | 0.589936i | 0.102426 | − | 0.994741i | \(-0.467340\pi\) |
−0.914403 | + | 0.404804i | \(0.867340\pi\) | |||||||
\(194\) | −80.8639 | − | 26.2743i | −0.416824 | − | 0.135434i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −162.410 | + | 117.998i | −0.828621 | + | 0.602028i | ||||
\(197\) | 331.307i | 1.68176i | 0.541220 | + | 0.840881i | \(0.317963\pi\) | ||||
−0.541220 | + | 0.840881i | \(0.682037\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −294.829 | −1.48155 | −0.740775 | − | 0.671753i | \(-0.765542\pi\) | ||||
−0.740775 | + | 0.671753i | \(0.765542\pi\) | |||||||
\(200\) | −56.7873 | − | 78.1610i | −0.283936 | − | 0.390805i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.13005 | + | 9.63329i | −0.0154953 | + | 0.0476896i | ||||
\(203\) | 83.6955 | − | 115.197i | 0.412293 | − | 0.567473i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −75.1074 | + | 231.157i | −0.366377 | + | 1.12759i | ||||
\(206\) | −63.2420 | + | 20.5486i | −0.307000 | + | 0.0997503i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 17.7461 | 0.0853180 | ||||||||
\(209\) | −49.5102 | + | 152.096i | −0.236891 | + | 0.727731i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 93.6252 | − | 68.0227i | 0.443721 | − | 0.322382i | −0.343391 | − | 0.939193i | \(-0.611575\pi\) |
0.787112 | + | 0.616810i | \(0.211575\pi\) | |||||||
\(212\) | −191.055 | + | 62.0774i | −0.901201 | + | 0.292818i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 31.0348 | + | 22.5481i | 0.145022 | + | 0.105365i | ||||
\(215\) | 9.78338 | − | 13.4657i | 0.0455041 | − | 0.0626310i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −44.8152 | − | 137.927i | −0.206522 | − | 0.635609i | ||||
\(218\) | −191.476 | − | 263.544i | −0.878329 | − | 1.20892i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.228989 | − | 421.975i | 0.00104086 | − | 1.91807i | ||||
\(221\) | 40.0728i | 0.181325i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −75.4285 | − | 232.145i | −0.338245 | − | 1.04101i | −0.965102 | − | 0.261876i | \(-0.915659\pi\) |
0.626857 | − | 0.779134i | \(-0.284341\pi\) | |||||||
\(224\) | −121.146 | − | 39.3626i | −0.540828 | − | 0.175726i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 221.907 | + | 161.225i | 0.981888 | + | 0.713383i | ||||
\(227\) | 255.097 | + | 82.8861i | 1.12378 | + | 0.365137i | 0.811208 | − | 0.584758i | \(-0.198811\pi\) |
0.312569 | + | 0.949895i | \(0.398811\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −150.551 | + | 109.382i | −0.657430 | + | 0.477651i | −0.865794 | − | 0.500401i | \(-0.833186\pi\) |
0.208364 | + | 0.978051i | \(0.433186\pi\) | |||||||
\(230\) | 587.104i | 2.55263i | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 133.388 | 0.574947 | ||||||||
\(233\) | 95.3276 | + | 131.207i | 0.409131 | + | 0.563121i | 0.963006 | − | 0.269479i | \(-0.0868514\pi\) |
−0.553875 | + | 0.832600i | \(0.686851\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 97.7729 | − | 300.914i | 0.416055 | − | 1.28049i | ||||
\(236\) | −275.696 | + | 379.462i | −1.16820 | + | 1.60789i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 68.2697 | − | 210.112i | 0.286847 | − | 0.882826i | ||||
\(239\) | 67.6141 | − | 21.9692i | 0.282904 | − | 0.0919212i | −0.164128 | − | 0.986439i | \(-0.552481\pi\) |
0.447032 | + | 0.894518i | \(0.352481\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 212.799 | 0.882984 | 0.441492 | − | 0.897265i | \(-0.354449\pi\) | ||||
0.441492 | + | 0.897265i | \(0.354449\pi\) | |||||||
\(242\) | 212.286 | − | 291.521i | 0.877215 | − | 1.20463i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −11.4366 | + | 8.30919i | −0.0468714 | + | 0.0340541i | ||||
\(245\) | 307.226 | − | 99.8238i | 1.25398 | − | 0.407444i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −17.8572 | − | 12.9740i | −0.0722962 | − | 0.0525263i | ||||
\(248\) | 79.8536 | − | 109.909i | 0.321990 | − | 0.443181i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 84.8733 | + | 261.213i | 0.339493 | + | 1.04485i | ||||
\(251\) | −110.272 | − | 151.777i | −0.439332 | − | 0.604689i | 0.530731 | − | 0.847540i | \(-0.321917\pi\) |
−0.970064 | + | 0.242851i | \(0.921917\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −162.232 | + | 223.038i | −0.641232 | + | 0.881573i | ||||
\(254\) | − | 24.6864i | − | 0.0971904i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 33.6825 | + | 103.664i | 0.131572 | + | 0.404937i | ||||
\(257\) | 276.561 | + | 89.8603i | 1.07611 | + | 0.349651i | 0.792866 | − | 0.609396i | \(-0.208588\pi\) |
0.283248 | + | 0.959047i | \(0.408588\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 44.4253 | + | 32.2769i | 0.171526 | + | 0.124621i | ||||
\(260\) | 55.3810 | + | 17.9944i | 0.213004 | + | 0.0692092i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.94869 | − | 2.86889i | 0.0150714 | − | 0.0109500i | ||||
\(263\) | − | 458.564i | − | 1.74359i | −0.489870 | − | 0.871795i | \(-0.662956\pi\) | ||
0.489870 | − | 0.871795i | \(-0.337044\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 323.257 | 1.21984 | ||||||||
\(266\) | 71.5269 | + | 98.4483i | 0.268898 | + | 0.370106i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 133.207 | − | 409.969i | 0.497041 | − | 1.52974i | ||||
\(269\) | −122.701 | + | 168.884i | −0.456139 | + | 0.627822i | −0.973703 | − | 0.227823i | \(-0.926839\pi\) |
0.517563 | + | 0.855645i | \(0.326839\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −142.441 | + | 438.388i | −0.525612 | + | 1.61767i | 0.237489 | + | 0.971390i | \(0.423676\pi\) |
−0.763102 | + | 0.646279i | \(0.776324\pi\) | |||||||
\(272\) | −293.521 | + | 95.3708i | −1.07912 | + | 0.350628i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 590.465 | 2.15498 | ||||||||
\(275\) | −125.058 | + | 384.181i | −0.454758 | + | 1.39702i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 85.4746 | − | 62.1009i | 0.308573 | − | 0.224191i | −0.422711 | − | 0.906264i | \(-0.638922\pi\) |
0.731284 | + | 0.682073i | \(0.238922\pi\) | |||||||
\(278\) | 531.316 | − | 172.635i | 1.91121 | − | 0.620989i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −46.9472 | − | 34.1091i | −0.167668 | − | 0.121818i | ||||
\(281\) | 253.323 | − | 348.669i | 0.901506 | − | 1.24082i | −0.0684794 | − | 0.997653i | \(-0.521815\pi\) |
0.969985 | − | 0.243164i | \(-0.0781853\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 93.2355 | + | 286.949i | 0.329454 | + | 1.01396i | 0.969390 | + | 0.245527i | \(0.0789611\pi\) |
−0.639935 | + | 0.768429i | \(0.721039\pi\) | |||||||
\(284\) | 32.5049 | + | 44.7391i | 0.114454 | + | 0.157532i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 29.2292 | + | 40.2765i | 0.102200 | + | 0.140827i | ||||
\(287\) | 86.8643i | 0.302663i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −126.052 | − | 387.949i | −0.436167 | − | 1.34238i | ||||
\(290\) | −1129.32 | − | 366.939i | −3.89422 | − | 1.26531i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 413.874 | + | 300.697i | 1.41738 | + | 1.02979i | ||||
\(293\) | −44.0479 | − | 14.3120i | −0.150334 | − | 0.0488465i | 0.232883 | − | 0.972505i | \(-0.425184\pi\) |
−0.383217 | + | 0.923658i | \(0.625184\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 610.613 | − | 443.636i | 2.06987 | − | 1.50385i | ||||
\(296\) | 51.4405i | 0.173786i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −712.860 | −2.39215 | ||||||||
\(299\) | −22.3707 | − | 30.7906i | −0.0748183 | − | 0.102979i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.83820 | − | 5.65741i | 0.00610699 | − | 0.0187954i | ||||
\(302\) | 102.789 | − | 141.477i | 0.340360 | − | 0.468466i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 52.5316 | − | 161.676i | 0.172801 | − | 0.531828i | ||||
\(305\) | 21.6343 | − | 7.02943i | 0.0709323 | − | 0.0230473i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −448.259 | −1.46013 | −0.730063 | − | 0.683379i | \(-0.760509\pi\) | ||||
−0.730063 | + | 0.683379i | \(0.760509\pi\) | |||||||
\(308\) | −46.5248 | − | 143.453i | −0.151054 | − | 0.465758i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −978.429 | + | 710.870i | −3.15622 | + | 2.29313i | ||||
\(311\) | 318.294 | − | 103.420i | 1.02345 | − | 0.332540i | 0.251255 | − | 0.967921i | \(-0.419157\pi\) |
0.772199 | + | 0.635381i | \(0.219157\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −82.7752 | − | 60.1397i | −0.264458 | − | 0.192140i | 0.447652 | − | 0.894208i | \(-0.352260\pi\) |
−0.712110 | + | 0.702068i | \(0.752260\pi\) | |||||||
\(314\) | 35.7727 | − | 49.2369i | 0.113926 | − | 0.156805i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −25.3306 | − | 77.9594i | −0.0801600 | − | 0.246707i | ||||
\(317\) | −222.110 | − | 305.708i | −0.700661 | − | 0.964377i | −0.999948 | − | 0.0102140i | \(-0.996749\pi\) |
0.299287 | − | 0.954163i | \(-0.403251\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −327.630 | − | 451.459i | −1.02705 | − | 1.41523i | ||||
\(320\) | 694.848i | 2.17140i | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 64.8393 | + | 199.555i | 0.201364 | + | 0.619736i | ||||
\(323\) | 365.082 | + | 118.622i | 1.13028 | + | 0.367252i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −45.1057 | − | 32.7712i | −0.138787 | − | 0.100834i | ||||
\(326\) | 296.357 | + | 96.2922i | 0.909070 | + | 0.295375i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −65.8311 | + | 47.8291i | −0.200705 | + | 0.145820i | ||||
\(329\) | − | 113.078i | − | 0.343701i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −170.972 | −0.516533 | −0.258266 | − | 0.966074i | \(-0.583151\pi\) | ||||
−0.258266 | + | 0.966074i | \(0.583151\pi\) | |||||||
\(332\) | −65.3522 | − | 89.9496i | −0.196844 | − | 0.270933i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −36.1119 | + | 111.141i | −0.108120 | + | 0.332758i | ||||
\(335\) | −407.719 | + | 561.177i | −1.21707 | + | 1.67516i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 59.3115 | − | 182.542i | 0.175999 | − | 0.541668i | −0.823679 | − | 0.567056i | \(-0.808082\pi\) |
0.999678 | + | 0.0253884i | \(0.00808224\pi\) | |||||||
\(338\) | 472.498 | − | 153.524i | 1.39792 | − | 0.454213i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1012.71 | −2.97855 | ||||||||
\(341\) | −568.132 | − | 0.308302i | −1.66608 | − | 0.000904111i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 204.712 | − | 148.732i | 0.596829 | − | 0.433622i | ||||
\(344\) | 5.29968 | − | 1.72197i | 0.0154061 | − | 0.00500573i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 220.447 | + | 160.164i | 0.637131 | + | 0.462903i | ||||
\(347\) | −109.245 | + | 150.363i | −0.314827 | + | 0.433322i | −0.936879 | − | 0.349654i | \(-0.886299\pi\) |
0.622052 | + | 0.782976i | \(0.286299\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −54.5075 | − | 167.757i | −0.156182 | − | 0.480679i | 0.842097 | − | 0.539327i | \(-0.181321\pi\) |
−0.998279 | + | 0.0586476i | \(0.981321\pi\) | |||||||
\(350\) | 180.671 | + | 248.672i | 0.516202 | + | 0.710491i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −293.528 | + | 403.546i | −0.833887 | + | 1.14644i | ||||
\(353\) | 232.825i | 0.659561i | 0.944058 | + | 0.329780i | \(0.106975\pi\) | ||||
−0.944058 | + | 0.329780i | \(0.893025\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −27.4985 | − | 84.6318i | −0.0774606 | − | 0.238399i | ||||
\(356\) | 142.801 | + | 46.3989i | 0.401127 | + | 0.130334i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 526.074 | + | 382.215i | 1.46948 | + | 1.06764i | ||||
\(359\) | −383.394 | − | 124.572i | −1.06795 | − | 0.346998i | −0.278261 | − | 0.960506i | \(-0.589758\pi\) |
−0.789689 | + | 0.613508i | \(0.789758\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 120.996 | − | 87.9086i | 0.335168 | − | 0.243514i | ||||
\(362\) | − | 133.583i | − | 0.369012i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 20.8111 | 0.0571734 | ||||||||
\(365\) | −483.868 | − | 665.987i | −1.32567 | − | 1.82462i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −167.337 | + | 515.010i | −0.455959 | + | 1.40330i | 0.414047 | + | 0.910255i | \(0.364115\pi\) |
−0.870006 | + | 0.493041i | \(0.835885\pi\) | |||||||
\(368\) | 172.291 | − | 237.138i | 0.468182 | − | 0.644397i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 141.509 | − | 435.520i | 0.382456 | − | 1.17708i | ||||
\(371\) | 109.874 | − | 35.7003i | 0.296157 | − | 0.0962272i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −160.025 | −0.429021 | −0.214510 | − | 0.976722i | \(-0.568816\pi\) | ||||
−0.214510 | + | 0.976722i | \(0.568816\pi\) | |||||||
\(374\) | −699.903 | − | 509.090i | −1.87140 | − | 1.36120i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 85.6973 | − | 62.2627i | 0.227918 | − | 0.165592i | ||||
\(377\) | 73.2089 | − | 23.7870i | 0.194188 | − | 0.0630955i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 306.310 | + | 222.547i | 0.808206 | + | 0.587196i | 0.913310 | − | 0.407265i | \(-0.133517\pi\) |
−0.105104 | + | 0.994461i | \(0.533517\pi\) | |||||||
\(380\) | 327.875 | − | 451.281i | 0.862828 | − | 1.18758i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −137.202 | − | 422.264i | −0.359167 | − | 1.10540i | ||||
\(383\) | 140.814 | + | 193.814i | 0.367661 | + | 0.506041i | 0.952263 | − | 0.305278i | \(-0.0987495\pi\) |
−0.584603 | + | 0.811320i | \(0.698750\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.131690 | + | 242.675i | −0.000342051 | + | 0.630325i | ||||
\(386\) | 577.315i | 1.49564i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 43.0437 | + | 132.475i | 0.110937 | + | 0.341430i | ||||
\(389\) | −478.020 | − | 155.318i | −1.22884 | − | 0.399276i | −0.378549 | − | 0.925581i | \(-0.623577\pi\) |
−0.850295 | + | 0.526306i | \(0.823577\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 535.485 | + | 389.052i | 1.36953 | + | 0.995019i | ||||
\(392\) | 102.856 | + | 33.4201i | 0.262389 | + | 0.0852552i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 798.836 | − | 580.389i | 2.02750 | − | 1.47307i | ||||
\(395\) | 131.905i | 0.333935i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 97.1039 | 0.244594 | 0.122297 | − | 0.992494i | \(-0.460974\pi\) | ||||
0.122297 | + | 0.992494i | \(0.460974\pi\) | |||||||
\(398\) | 516.485 | + | 710.880i | 1.29770 | + | 1.78613i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 132.690 | − | 408.379i | 0.331726 | − | 1.02095i | ||||
\(401\) | 386.262 | − | 531.644i | 0.963247 | − | 1.32580i | 0.0178620 | − | 0.999840i | \(-0.494314\pi\) |
0.945385 | − | 0.325955i | \(-0.105686\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 24.2270 | − | 74.5630i | 0.0601166 | − | 0.185020i | ||||
\(404\) | 15.7817 | − | 5.12779i | 0.0390636 | − | 0.0126925i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −424.378 | −1.04527 | ||||||||
\(407\) | 174.104 | − | 126.349i | 0.427773 | − | 0.310441i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −82.1600 | + | 59.6928i | −0.200880 | + | 0.145948i | −0.683678 | − | 0.729784i | \(-0.739621\pi\) |
0.482798 | + | 0.875732i | \(0.339621\pi\) | |||||||
\(410\) | 688.931 | − | 223.847i | 1.68032 | − | 0.545969i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 88.1325 | + | 64.0320i | 0.213914 | + | 0.155417i | ||||
\(413\) | 158.551 | − | 218.226i | 0.383900 | − | 0.528393i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 55.2868 | + | 170.155i | 0.133221 | + | 0.410013i | ||||
\(416\) | −40.4756 | − | 55.7099i | −0.0972972 | − | 0.133918i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 453.460 | − | 147.066i | 1.08483 | − | 0.351833i | ||||
\(419\) | − | 0.439819i | − | 0.00104969i | −1.00000 | 0.000524844i | \(-0.999833\pi\) | |||
1.00000 | 0.000524844i | \(-0.000167063\pi\) | ||||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −129.343 | − | 398.076i | −0.307227 | − | 0.945548i | −0.978837 | − | 0.204642i | \(-0.934397\pi\) |
0.671610 | − | 0.740905i | \(-0.265603\pi\) | |||||||
\(422\) | −328.028 | − | 106.583i | −0.777317 | − | 0.252566i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 87.5547 | + | 63.6122i | 0.206497 | + | 0.150029i | ||||
\(425\) | 922.166 | + | 299.630i | 2.16980 | + | 0.705011i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.57712 | − | 4.77856i | 0.0154031 | − | 0.0111910i | ||||
\(428\) | − | 62.8449i | − | 0.146834i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −49.6066 | −0.115364 | ||||||||
\(431\) | −148.162 | − | 203.928i | −0.343764 | − | 0.473150i | 0.601772 | − | 0.798668i | \(-0.294462\pi\) |
−0.945536 | + | 0.325517i | \(0.894462\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −38.4570 | + | 118.359i | −0.0888153 | + | 0.273345i | −0.985593 | − | 0.169137i | \(-0.945902\pi\) |
0.896777 | + | 0.442482i | \(0.145902\pi\) | |||||||
\(434\) | −254.057 | + | 349.680i | −0.585385 | + | 0.805713i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −164.914 | + | 507.552i | −0.378243 | + | 1.16411i | ||||
\(437\) | −346.738 | + | 112.662i | −0.793450 | + | 0.257807i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −73.6933 | −0.167866 | −0.0839332 | − | 0.996471i | \(-0.526748\pi\) | ||||
−0.0839332 | + | 0.996471i | \(0.526748\pi\) | |||||||
\(440\) | −183.987 | + | 133.522i | −0.418152 | + | 0.303458i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 96.6222 | − | 70.2001i | 0.218602 | − | 0.158824i | ||||
\(443\) | −351.831 | + | 114.317i | −0.794200 | + | 0.258051i | −0.677892 | − | 0.735162i | \(-0.737106\pi\) |
−0.116308 | + | 0.993213i | \(0.537106\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −195.470 | − | 142.017i | −0.439259 | − | 0.319140i | ||||
\(446\) | −427.604 | + | 588.546i | −0.958753 | + | 1.31961i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 76.7385 | + | 236.177i | 0.171291 | + | 0.527180i | ||||
\(449\) | 427.055 | + | 587.791i | 0.951125 | + | 1.30911i | 0.951026 | + | 0.309111i | \(0.100031\pi\) |
9.88759e−5 | 1.00000i | \(0.499969\pi\) | ||||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 323.576 | + | 105.330i | 0.717464 | + | 0.233549i | ||||
\(452\) | − | 449.357i | − | 0.994153i | ||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −247.031 | − | 760.283i | −0.544121 | − | 1.67463i | ||||
\(455\) | −31.8493 | − | 10.3485i | −0.0699984 | − | 0.0227438i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 295.712 | + | 214.847i | 0.647072 | + | 0.470125i | 0.862272 | − | 0.506445i | \(-0.169041\pi\) |
−0.215201 | + | 0.976570i | \(0.569041\pi\) | |||||||
\(458\) | 527.476 | + | 171.387i | 1.15169 | + | 0.374208i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 778.130 | − | 565.344i | 1.69159 | − | 1.22901i | ||||
\(461\) | − | 153.670i | − | 0.333340i | −0.986013 | − | 0.166670i | \(-0.946699\pi\) | ||
0.986013 | − | 0.166670i | \(-0.0533014\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 325.357 | 0.702714 | 0.351357 | − | 0.936242i | \(-0.385720\pi\) | ||||
0.351357 | + | 0.936242i | \(0.385720\pi\) | |||||||
\(464\) | 348.465 | + | 479.621i | 0.751002 | + | 1.03367i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 149.366 | − | 459.701i | 0.320528 | − | 0.986484i | ||||
\(467\) | −491.368 | + | 676.310i | −1.05218 | + | 1.44820i | −0.165275 | + | 0.986247i | \(0.552851\pi\) |
−0.886904 | + | 0.461954i | \(0.847149\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −76.6065 | + | 235.771i | −0.163340 | + | 0.502709i | ||||
\(470\) | −896.834 | + | 291.399i | −1.90816 | + | 0.619998i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 252.686 | 0.535352 | ||||||||
\(473\) | −18.8453 | − | 13.7076i | −0.0398421 | − | 0.0289800i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −432.081 | + | 313.925i | −0.909645 | + | 0.660896i | ||||
\(476\) | −344.216 | + | 111.843i | −0.723143 | + | 0.234963i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −171.419 | − | 124.543i | −0.358616 | − | 0.260550i | ||||
\(479\) | −197.344 | + | 271.621i | −0.411992 | + | 0.567058i | −0.963703 | − | 0.266977i | \(-0.913975\pi\) |
0.551711 | + | 0.834035i | \(0.313975\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.17337 | + | 28.2327i | 0.0190715 | + | 0.0586959i | ||||
\(482\) | −372.785 | − | 513.094i | −0.773412 | − | 1.06451i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −590.791 | − | 0.641196i | −1.22064 | − | 0.00132479i | ||||
\(485\) | − | 224.143i | − | 0.462150i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 180.912 | + | 556.789i | 0.371482 | + | 1.14330i | 0.945822 | + | 0.324686i | \(0.105259\pi\) |
−0.574340 | + | 0.818617i | \(0.694741\pi\) | |||||||
\(488\) | 7.24298 | + | 2.35339i | 0.0148422 | + | 0.00482251i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −778.894 | − | 565.900i | −1.58958 | − | 1.15490i | ||||
\(491\) | 309.648 | + | 100.611i | 0.630647 | + | 0.204910i | 0.606862 | − | 0.794807i | \(-0.292428\pi\) |
0.0237854 | + | 0.999717i | \(0.492428\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1083.04 | + | 786.874i | −2.19683 | + | 1.59609i | ||||
\(494\) | 65.7846i | 0.133167i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 603.810 | 1.21736 | ||||||||
\(497\) | −18.6933 | − | 25.7292i | −0.0376123 | − | 0.0517689i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 124.634 | − | 383.583i | 0.249767 | − | 0.768703i | −0.745049 | − | 0.667010i | \(-0.767574\pi\) |
0.994816 | − | 0.101693i | \(-0.0324261\pi\) | |||||||
\(500\) | 264.476 | − | 364.020i | 0.528953 | − | 0.728041i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −172.783 | + | 531.770i | −0.344188 | + | 1.05930i | ||||
\(503\) | 643.433 | − | 209.064i | 1.27919 | − | 0.415634i | 0.410895 | − | 0.911683i | \(-0.365216\pi\) |
0.868295 | + | 0.496048i | \(0.165216\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −26.7021 | −0.0528754 | ||||||||
\(506\) | 821.981 | + | 0.446056i | 1.62447 | + | 0.000881533i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −32.7185 | + | 23.7714i | −0.0644066 | + | 0.0467941i | ||||
\(509\) | −639.693 | + | 207.849i | −1.25677 | + | 0.408348i | −0.860341 | − | 0.509720i | \(-0.829749\pi\) |
−0.396425 | + | 0.918067i | \(0.629749\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −238.016 | − | 172.929i | −0.465785 | − | 0.338413i | ||||
\(512\) | 384.029 | − | 528.571i | 0.750057 | − | 1.03236i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −267.816 | − | 824.254i | −0.521043 | − | 1.60361i | ||||
\(515\) | −103.037 | − | 141.819i | −0.200072 | − | 0.275376i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −421.224 | − | 137.117i | −0.814746 | − | 0.265216i | ||||
\(518\) | − | 163.660i | − | 0.315946i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −9.69410 | − | 29.8354i | −0.0186425 | − | 0.0573757i | ||||
\(521\) | 70.0098 | + | 22.7476i | 0.134376 | + | 0.0436613i | 0.375433 | − | 0.926850i | \(-0.377494\pi\) |
−0.241057 | + | 0.970511i | \(0.577494\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 432.771 | + | 314.426i | 0.827478 | + | 0.601198i | 0.918845 | − | 0.394620i | \(-0.129124\pi\) |
−0.0913670 | + | 0.995817i | \(0.529124\pi\) | |||||||
\(524\) | −7.60469 | − | 2.47091i | −0.0145128 | − | 0.00471548i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1105.67 | + | 803.320i | −2.10204 | + | 1.52722i | ||||
\(527\) | 1363.47i | 2.58723i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −99.6371 | −0.188350 | ||||||||
\(530\) | −566.287 | − | 779.427i | −1.06847 | − | 1.47062i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 61.6045 | − | 189.599i | 0.115798 | − | 0.356389i | ||||
\(533\) | −27.6016 | + | 37.9903i | −0.0517853 | + | 0.0712763i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −31.2500 | + | 96.1775i | −0.0584112 | + | 0.179771i | ||||
\(536\) | −220.862 | + | 71.7626i | −0.412057 | + | 0.133885i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 622.158 | 1.15643 | ||||||||
\(539\) | −139.526 | − | 430.211i | −0.258861 | − | 0.798165i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.4454 | + | 9.04213i | −0.0230045 | + | 0.0167137i | −0.599228 | − | 0.800578i | \(-0.704526\pi\) |
0.576224 | + | 0.817292i | \(0.304526\pi\) | |||||||
\(542\) | 1306.56 | − | 424.526i | 2.41062 | − | 0.783258i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 968.861 | + | 703.919i | 1.78099 | + | 1.29397i | ||||
\(545\) | 504.766 | − | 694.751i | 0.926177 | − | 1.27477i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −56.2850 | − | 173.227i | −0.102898 | − | 0.316686i | 0.886334 | − | 0.463047i | \(-0.153244\pi\) |
−0.989231 | + | 0.146361i | \(0.953244\pi\) | |||||||
\(548\) | −568.581 | − | 782.584i | −1.03756 | − | 1.42807i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1145.40 | − | 371.477i | 2.08255 | − | 0.675412i | ||||
\(551\) | − | 737.380i | − | 1.33826i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 14.5674 | + | 44.8339i | 0.0263425 | + | 0.0810740i | ||||
\(554\) | −299.471 | − | 97.3041i | −0.540562 | − | 0.175639i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −740.429 | − | 537.953i | −1.33171 | − | 0.967542i | ||||
\(557\) | −255.810 | − | 83.1179i | −0.459265 | − | 0.149224i | 0.0702419 | − | 0.997530i | \(-0.477623\pi\) |
−0.529507 | + | 0.848306i | \(0.677623\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.60161 | − | 1.89018i | 0.00465405 | − | 0.00338136i | ||||
\(560\) | − | 257.915i | − | 0.460562i | ||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1284.47 | −2.28554 | ||||||||
\(563\) | −235.669 | − | 324.370i | −0.418594 | − | 0.576146i | 0.546694 | − | 0.837332i | \(-0.315886\pi\) |
−0.965288 | + | 0.261187i | \(0.915886\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −223.445 | + | 687.694i | −0.395479 | + | 1.21716i | ||||
\(566\) | 528.551 | − | 727.489i | 0.933836 | − | 1.28532i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.20625 | − | 28.3339i | 0.0162082 | − | 0.0498837i | ||||
\(569\) | 174.429 | − | 56.6756i | 0.306554 | − | 0.0996056i | −0.151700 | − | 0.988427i | \(-0.548475\pi\) |
0.458255 | + | 0.888821i | \(0.348475\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 693.995 | 1.21540 | 0.607701 | − | 0.794166i | \(-0.292092\pi\) | ||||
0.607701 | + | 0.794166i | \(0.292092\pi\) | |||||||
\(572\) | 25.2353 | − | 77.5231i | 0.0441177 | − | 0.135530i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 209.444 | − | 152.170i | 0.364885 | − | 0.265105i | ||||
\(575\) | −875.829 | + | 284.574i | −1.52318 | + | 0.494912i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −429.878 | − | 312.325i | −0.745023 | − | 0.541291i | 0.149257 | − | 0.988798i | \(-0.452312\pi\) |
−0.894280 | + | 0.447507i | \(0.852312\pi\) | |||||||
\(578\) | −714.589 | + | 983.547i | −1.23631 | + | 1.70164i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 601.137 | + | 1850.11i | 1.03644 | + | 3.18985i | ||||
\(581\) | 37.5836 | + | 51.7294i | 0.0646878 | + | 0.0890351i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.245596 | − | 452.580i | 0.000421263 | − | 0.776295i | ||||
\(584\) | − | 275.601i | − | 0.471920i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 42.6551 | + | 131.279i | 0.0727902 | + | 0.224025i | ||||
\(587\) | 510.666 | + | 165.925i | 0.869958 | + | 0.282667i | 0.709782 | − | 0.704422i | \(-0.248794\pi\) |
0.160177 | + | 0.987088i | \(0.448794\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −607.587 | − | 441.438i | −1.03156 | − | 0.749470i | ||||
\(590\) | −2139.36 | − | 695.120i | −3.62603 | − | 1.17817i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −184.964 | + | 134.384i | −0.312439 | + | 0.227001i | ||||
\(593\) | 228.398i | 0.385156i | 0.981282 | + | 0.192578i | \(0.0616849\pi\) | ||||
−0.981282 | + | 0.192578i | \(0.938315\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 582.401 | 0.978825 | ||||||||
\(596\) | 686.439 | + | 944.802i | 1.15174 | + | 1.58524i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −35.0519 | + | 107.879i | −0.0586153 | + | 0.180399i | ||||
\(599\) | 350.082 | − | 481.846i | 0.584444 | − | 0.804418i | −0.409730 | − | 0.912207i | \(-0.634377\pi\) |
0.994174 | + | 0.107789i | \(0.0343771\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 245.022 | − | 754.101i | 0.407691 | − | 1.25474i | −0.510936 | − | 0.859619i | \(-0.670701\pi\) |
0.918627 | − | 0.395125i | \(-0.129299\pi\) | |||||||
\(602\) | −16.8611 | + | 5.47851i | −0.0280085 | + | 0.00910052i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −286.488 | −0.474318 | ||||||||
\(605\) | 903.824 | + | 294.755i | 1.49392 | + | 0.487199i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 706.476 | − | 513.285i | 1.16388 | − | 0.845610i | 0.173618 | − | 0.984813i | \(-0.444454\pi\) |
0.990264 | + | 0.139203i | \(0.0444542\pi\) | |||||||
\(608\) | −627.358 | + | 203.841i | −1.03184 | + | 0.335265i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −54.8485 | − | 39.8497i | −0.0899155 | − | 0.0653274i | ||||
\(611\) | 35.9310 | − | 49.4548i | 0.0588069 | − | 0.0809408i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 97.3458 | + | 299.600i | 0.158802 | + | 0.488743i | 0.998526 | − | 0.0542702i | \(-0.0172832\pi\) |
−0.839724 | + | 0.543014i | \(0.817283\pi\) | |||||||
\(614\) | 785.266 | + | 1080.83i | 1.27894 | + | 1.76030i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −47.7905 | + | 65.7029i | −0.0775819 | + | 0.106661i | ||||
\(617\) | 738.239i | 1.19650i | 0.801311 | + | 0.598249i | \(0.204136\pi\) | ||||
−0.801311 | + | 0.598249i | \(0.795864\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 285.874 | + | 879.831i | 0.461832 | + | 1.42137i | 0.862923 | + | 0.505336i | \(0.168631\pi\) |
−0.401090 | + | 0.916038i | \(0.631369\pi\) | |||||||
\(620\) | 1884.33 | + | 612.256i | 3.03924 | + | 0.987510i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −806.955 | − | 586.287i | −1.29736 | − | 0.942584i | ||||
\(623\) | −82.1240 | − | 26.6837i | −0.131820 | − | 0.0428310i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 157.102 | − | 114.141i | 0.251363 | − | 0.182626i | ||||
\(626\) | 304.938i | 0.487122i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −99.7039 | −0.158764 | ||||||||
\(629\) | −303.455 | − | 417.670i | −0.482440 | − | 0.664022i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −108.898 | + | 335.154i | −0.172580 | + | 0.531147i | −0.999515 | − | 0.0311513i | \(-0.990083\pi\) |
0.826935 | + | 0.562298i | \(0.190083\pi\) | |||||||
\(632\) | −25.9568 | + | 35.7265i | −0.0410709 | + | 0.0565293i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −348.017 | + | 1071.09i | −0.548922 | + | 1.68941i | ||||
\(635\) | 61.8927 | − | 20.1102i | 0.0974689 | − | 0.0316696i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 62.4117 | 0.0979776 | ||||||||
\(638\) | −514.595 | + | 1580.84i | −0.806576 | + | 2.47781i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 522.000 | − | 379.255i | 0.815625 | − | 0.592586i | ||||
\(641\) | −234.944 | + | 76.3379i | −0.366527 | + | 0.119092i | −0.486489 | − | 0.873687i | \(-0.661723\pi\) |
0.119962 | + | 0.992778i | \(0.461723\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −531.828 | − | 386.395i | −0.827104 | − | 0.600926i | 0.0916349 | − | 0.995793i | \(-0.470791\pi\) |
−0.918738 | + | 0.394867i | \(0.870791\pi\) | |||||||
\(644\) | 202.048 | − | 278.095i | 0.313739 | − | 0.431824i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −353.538 | − | 1088.08i | −0.547272 | − | 1.68433i | ||||
\(647\) | −379.466 | − | 522.290i | −0.586500 | − | 0.807249i | 0.407889 | − | 0.913032i | \(-0.366265\pi\) |
−0.994389 | + | 0.105783i | \(0.966265\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −620.654 | − | 855.232i | −0.956323 | − | 1.31777i | ||||
\(650\) | 166.166i | 0.255640i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −157.750 | − | 485.506i | −0.241948 | − | 0.744640i | ||||
\(653\) | −33.8048 | − | 10.9839i | −0.0517685 | − | 0.0168206i | 0.283018 | − | 0.959115i | \(-0.408664\pi\) |
−0.334787 | + | 0.942294i | \(0.608664\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.4095 | + | 7.56295i | 0.0158924 | + | 0.0115465i | ||||
\(656\) | −343.957 | − | 111.758i | −0.524325 | − | 0.170363i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −272.649 | + | 198.091i | −0.414360 | + | 0.301050i | ||||
\(659\) | − | 721.237i | − | 1.09444i | −0.836988 | − | 0.547221i | \(-0.815686\pi\) | ||
0.836988 | − | 0.547221i | \(-0.184314\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −617.542 | −0.934253 | −0.467127 | − | 0.884190i | \(-0.654711\pi\) | ||||
−0.467127 | + | 0.884190i | \(0.654711\pi\) | |||||||
\(662\) | 299.512 | + | 412.242i | 0.452435 | + | 0.622723i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −18.5095 | + | 56.9664i | −0.0278757 | + | 0.0857927i | ||||
\(665\) | −188.558 | + | 259.528i | −0.283546 | + | 0.390268i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 392.897 | − | 1209.21i | 0.589052 | − | 1.81291i | ||||
\(668\) | 182.077 | − | 59.1603i | 0.272570 | − | 0.0885633i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2067.34 | 3.08558 | ||||||||
\(671\) | −9.82518 | − | 30.2947i | −0.0146426 | − | 0.0451486i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 679.954 | − | 494.016i | 1.01033 | − | 0.734050i | 0.0460541 | − | 0.998939i | \(-0.485335\pi\) |
0.964279 | + | 0.264889i | \(0.0853353\pi\) | |||||||
\(674\) | −544.042 | + | 176.770i | −0.807184 | + | 0.262270i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −658.462 | − | 478.401i | −0.974057 | − | 0.707694i | ||||
\(677\) | −227.212 | + | 312.730i | −0.335615 | + | 0.461935i | −0.943154 | − | 0.332355i | \(-0.892157\pi\) |
0.607539 | + | 0.794290i | \(0.292157\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −24.7541 | − | 76.1854i | −0.0364568 | − | 0.112202i | ||||
\(680\) | 320.681 | + | 441.379i | 0.471589 | + | 0.649087i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 994.518 | + | 1370.40i | 1.45824 | + | 2.00938i | ||||
\(683\) | 122.406i | 0.179219i | 0.995977 | + | 0.0896094i | \(0.0285619\pi\) | ||||
−0.995977 | + | 0.0896094i | \(0.971438\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 481.009 | + | 1480.39i | 0.702203 | + | 2.16116i | ||||
\(686\) | −717.236 | − | 233.044i | −1.04553 | − | 0.339714i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 20.0367 | + | 14.5575i | 0.0291231 | + | 0.0211592i | ||||
\(689\) | 59.3977 | + | 19.2995i | 0.0862085 | + | 0.0280108i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −198.194 | + | 143.996i | −0.286822 | + | 0.208388i | −0.721888 | − | 0.692010i | \(-0.756725\pi\) |
0.435065 | + | 0.900399i | \(0.356725\pi\) | |||||||
\(692\) | − | 446.402i | − | 0.645090i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 553.926 | 0.798165 | ||||||||
\(695\) | 865.649 | + | 1191.46i | 1.24554 | + | 1.71434i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 252.363 | − | 776.694i | 0.362071 | − | 1.11434i | ||||
\(698\) | −309.003 | + | 425.306i | −0.442697 | + | 0.609320i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 155.608 | − | 478.911i | 0.222297 | − | 0.684159i | ||||
\(701\) | 187.720 | − | 60.9938i | 0.267788 | − | 0.0870097i | −0.172045 | − | 0.985089i | \(-0.555037\pi\) |
0.439833 | + | 0.898079i | \(0.355037\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 284.368 | 0.404506 | ||||||||
\(704\) | 972.830 | + | 0.527915i | 1.38186 | + | 0.000749879i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 561.379 | − | 407.866i | 0.795155 | − | 0.577714i | ||||
\(707\) | −9.07595 | + | 2.94896i | −0.0128373 | + | 0.00417108i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 425.433 | + | 309.095i | 0.600046 | + | 0.435959i | 0.845895 | − | 0.533349i | \(-0.179067\pi\) |
−0.245849 | + | 0.969308i | \(0.579067\pi\) | |||||||
\(710\) | −155.889 | + | 214.563i | −0.219562 | + | 0.302201i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −24.9965 | − | 76.9312i | −0.0351074 | − | 0.108049i | ||||
\(713\) | −761.159 | − | 1047.65i | −1.06754 | − | 1.46935i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −77.1688 | + | 106.093i | −0.107928 | + | 0.148381i | ||||
\(716\) | − | 1065.29i | − | 1.48784i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 371.271 | + | 1142.65i | 0.517090 | + | 1.59144i | ||||
\(719\) | −51.7903 | − | 16.8277i | −0.0720311 | − | 0.0234043i | 0.272780 | − | 0.962076i | \(-0.412057\pi\) |
−0.344811 | + | 0.938672i | \(0.612057\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −50.6844 | − | 36.8244i | −0.0702973 | − | 0.0510740i | ||||
\(722\) | −423.924 | − | 137.741i | −0.587153 | − | 0.190777i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −177.046 | + | 128.632i | −0.244539 | + | 0.177668i | ||||
\(725\) | − | 1862.56i | − | 2.56905i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1312.96 | 1.80600 | 0.902999 | − | 0.429642i | \(-0.141360\pi\) | ||||
0.902999 | + | 0.429642i | \(0.141360\pi\) | |||||||
\(728\) | −6.58999 | − | 9.07035i | −0.00905219 | − | 0.0124593i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −758.158 | + | 2333.37i | −1.03857 | + | 3.19640i | ||||
\(731\) | −32.8725 | + | 45.2451i | −0.0449692 | + | 0.0618948i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 122.245 | − | 376.231i | 0.166774 | − | 0.513276i | −0.832389 | − | 0.554192i | \(-0.813027\pi\) |
0.999163 | + | 0.0409155i | \(0.0130275\pi\) | |||||||
\(734\) | 1534.92 | − | 498.725i | 2.09117 | − | 0.679461i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1137.40 | −1.54538 | ||||||||
\(737\) | 785.372 | + | 571.258i | 1.06563 | + | 0.775112i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1153.17 | + | 837.830i | −1.56045 | + | 1.13374i | −0.624816 | + | 0.780772i | \(0.714826\pi\) |
−0.935637 | + | 0.352963i | \(0.885174\pi\) | |||||||
\(740\) | −713.488 | + | 231.826i | −0.964174 | + | 0.313279i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −278.558 | − | 202.385i | −0.375416 | − | 0.272755i | ||||
\(743\) | −381.078 | + | 524.508i | −0.512890 | + | 0.705933i | −0.984403 | − | 0.175926i | \(-0.943708\pi\) |
0.471513 | + | 0.881859i | \(0.343708\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −580.715 | − | 1787.26i | −0.779483 | − | 2.39900i | ||||
\(746\) | 280.334 | + | 385.846i | 0.375783 | + | 0.517220i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.769410 | + | 1417.85i | −0.00102862 | + | 1.89552i | ||||
\(749\) | 36.1417i | 0.0482532i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −160.859 | − | 495.074i | −0.214193 | − | 0.659220i | −0.999210 | − | 0.0397446i | \(-0.987346\pi\) |
0.785016 | − | 0.619475i | \(-0.212654\pi\) | |||||||
\(752\) | 447.755 | + | 145.484i | 0.595419 | + | 0.193463i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −185.603 | − | 134.848i | −0.246157 | − | 0.178844i | ||||
\(755\) | 438.440 | + | 142.458i | 0.580715 | + | 0.188686i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 442.250 | − | 321.314i | 0.584214 | − | 0.424456i | −0.256027 | − | 0.966670i | \(-0.582414\pi\) |
0.840241 | + | 0.542213i | \(0.182414\pi\) | |||||||
\(758\) | − | 1128.43i | − | 1.48869i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −300.510 | −0.395408 | ||||||||
\(761\) | −485.510 | − | 668.247i | −0.637990 | − | 0.878118i | 0.360517 | − | 0.932753i | \(-0.382600\pi\) |
−0.998506 | + | 0.0546352i | \(0.982600\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 94.8408 | − | 291.890i | 0.124300 | − | 0.382555i | ||||
\(764\) | −427.539 | + | 588.457i | −0.559606 | + | 0.770231i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 220.637 | − | 679.052i | 0.288038 | − | 0.886491i | ||||
\(767\) | 138.685 | − | 45.0615i | 0.180815 | − | 0.0587503i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 712.096 | 0.926003 | 0.463001 | − | 0.886358i | \(-0.346772\pi\) | ||||
0.463001 | + | 0.886358i | \(0.346772\pi\) | |||||||
\(770\) | 585.360 | − | 424.804i | 0.760208 | − | 0.551694i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 765.156 | − | 555.918i | 0.991135 | − | 0.720102i | ||||
\(773\) | 262.790 | − | 85.3856i | 0.339961 | − | 0.110460i | −0.134061 | − | 0.990973i | \(-0.542802\pi\) |
0.474022 | + | 0.880513i | \(0.342802\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1534.71 | − | 1115.03i | −1.98028 | − | 1.43875i | ||||
\(776\) | 44.1079 | − | 60.7094i | 0.0568401 | − | 0.0782337i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 462.905 | + | 1424.67i | 0.594993 | + | 1.83120i | ||||
\(779\) | 264.404 | + | 363.921i | 0.339414 | + | 0.467164i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −118.510 | + | 38.4353i | −0.151742 | + | 0.0492129i | ||||
\(782\) | − | 1972.69i | − | 2.52262i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 148.536 | + | 457.147i | 0.189459 | + | 0.583095i | ||||
\(785\) | 152.586 | + | 49.5783i | 0.194377 | + | 0.0631571i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −773.348 | − | 561.870i | −0.982653 | − | 0.713939i | −0.0243534 | − | 0.999703i | \(-0.507753\pi\) |
−0.958300 | + | 0.285764i | \(0.907753\pi\) | |||||||
\(788\) | −1538.46 | − | 499.875i | −1.95236 | − | 0.634360i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 318.044 | − | 231.072i | 0.402587 | − | 0.292496i | ||||
\(791\) | 258.422i | 0.326703i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.39493 | 0.00554216 | ||||||||
\(794\) | −170.108 | − | 234.134i | −0.214242 | − | 0.294879i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 444.837 | − | 1369.07i | 0.558840 | − | 1.71993i | ||||
\(797\) | 623.281 | − | 857.873i | 0.782034 | − | 1.07638i | −0.213021 | − | 0.977048i | \(-0.568330\pi\) |
0.995055 | − | 0.0993298i | \(-0.0316699\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −328.520 | + | 1011.08i | −0.411164 | + | 1.26543i | ||||
\(800\) | −1584.65 | + | 514.885i | −1.98082 | + | 0.643606i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −1958.54 | −2.44207 | ||||||||
\(803\) | −932.790 | + | 676.938i | −1.16163 | + | 0.843012i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −447.497 | + | 325.126i | −0.555897 | + | 0.403883i | ||||
\(806\) | −222.225 | + | 72.2052i | −0.275713 | + | 0.0895847i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −7.23229 | − | 5.25457i | −0.00895085 | − | 0.00650318i | ||||
\(809\) | −215.410 | + | 296.487i | −0.266268 | + | 0.366486i | −0.921125 | − | 0.389266i | \(-0.872729\pi\) |
0.654858 | + | 0.755752i | \(0.272729\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 185.554 | + | 571.077i | 0.228797 | + | 0.704164i | 0.997884 | + | 0.0650200i | \(0.0207111\pi\) |
−0.769087 | + | 0.639144i | \(0.779289\pi\) | |||||||
\(812\) | 408.649 | + | 562.458i | 0.503263 | + | 0.692682i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −609.646 | − | 198.452i | −0.748951 | − | 0.243798i | ||||
\(815\) | 821.458i | 1.00792i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −9.51922 | − | 29.2971i | −0.0116514 | − | 0.0358594i | ||||
\(818\) | 287.858 | + | 93.5308i | 0.351905 | + | 0.114341i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −960.078 | − | 697.537i | −1.17083 | − | 0.850655i | ||||
\(821\) | 757.896 | + | 246.255i | 0.923138 | + | 0.299946i | 0.731753 | − | 0.681569i | \(-0.238702\pi\) |
0.191384 | + | 0.981515i | \(0.438702\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −665.312 | + | 483.377i | −0.808398 | + | 0.587336i | −0.913366 | − | 0.407140i | \(-0.866526\pi\) |
0.104968 | + | 0.994476i | \(0.466526\pi\) | |||||||
\(824\) | − | 58.6879i | − | 0.0712232i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −803.931 | −0.973282 | ||||||||
\(827\) | −537.163 | − | 739.341i | −0.649532 | − | 0.894003i | 0.349547 | − | 0.936919i | \(-0.386335\pi\) |
−0.999079 | + | 0.0429153i | \(0.986335\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −401.217 | + | 1234.82i | −0.483977 | + | 1.48953i | 0.349481 | + | 0.936943i | \(0.386358\pi\) |
−0.833458 | + | 0.552583i | \(0.813642\pi\) | |||||||
\(830\) | 313.420 | − | 431.386i | 0.377615 | − | 0.519742i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −41.4846 | + | 127.677i | −0.0498613 | + | 0.153457i | ||||
\(833\) | −1032.29 | + | 335.411i | −1.23924 | + | 0.402654i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −308.067 | −0.368942 | ||||||||
\(836\) | −631.571 | − | 459.387i | −0.755468 | − | 0.549506i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −1.06048 | + | 0.770482i | −0.00126549 | + | 0.000919429i | ||||
\(839\) | 55.7860 | − | 18.1260i | 0.0664910 | − | 0.0216042i | −0.275583 | − | 0.961277i | \(-0.588871\pi\) |
0.342074 | + | 0.939673i | \(0.388871\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1400.04 | + | 1017.19i | 1.66473 | + | 1.20950i | ||||
\(842\) | −733.242 | + | 1009.22i | −0.870833 | + | 1.19860i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 174.609 | + | 537.390i | 0.206882 | + | 0.636718i | ||||
\(845\) | 769.820 | + | 1059.57i | 0.911030 | + | 1.25392i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 339.760 | + | 0.368747i | 0.401133 | + | 0.000435357i | ||||
\(848\) | 481.001i | 0.567218i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −893.006 | − | 2748.39i | −1.05060 | − | 3.23340i | ||||
\(851\) | 466.329 | + | 151.520i | 0.547978 | + | 0.178049i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 925.786 | + | 672.623i | 1.08533 | + | 0.788538i | 0.978605 | − | 0.205750i | \(-0.0659635\pi\) |
0.106725 | + | 0.994289i | \(0.465964\pi\) | |||||||
\(854\) | −23.0438 | − | 7.48738i | −0.0269834 | − | 0.00876743i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −27.3904 | + | 19.9003i | −0.0319981 | + | 0.0232480i | ||||
\(857\) | 1380.38i | 1.61071i | 0.592790 | + | 0.805357i | \(0.298027\pi\) | ||||
−0.592790 | + | 0.805357i | \(0.701973\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 210.196 | 0.244698 | 0.122349 | − | 0.992487i | \(-0.460957\pi\) | ||||
0.122349 | + | 0.992487i | \(0.460957\pi\) | |||||||
\(860\) | 47.7680 | + | 65.7471i | 0.0555442 | + | 0.0764501i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −232.151 | + | 714.487i | −0.269317 | + | 0.828872i | ||||
\(863\) | 118.360 | − | 162.909i | 0.137150 | − | 0.188771i | −0.734917 | − | 0.678157i | \(-0.762779\pi\) |
0.872067 | + | 0.489386i | \(0.162779\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −221.976 | + | 683.172i | −0.256620 | + | 0.789794i | ||||
\(866\) | 352.752 | − | 114.616i | 0.407334 | − | 0.132351i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 708.096 | 0.815778 | ||||||||
\(869\) | 184.674 | + | 0.100215i | 0.212514 | + | 0.000115322i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −108.421 | + | 78.7727i | −0.124479 | + | 0.0904393i | ||||
\(872\) | 273.433 | − | 88.8438i | 0.313570 | − | 0.101885i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 879.066 | + | 638.679i | 1.00580 | + | 0.730754i | ||||
\(875\) | −152.099 | + | 209.346i | −0.173827 | + | 0.239252i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −327.015 | − | 1006.45i | −0.372879 | − | 1.14760i | −0.944898 | − | 0.327364i | \(-0.893840\pi\) |
0.572019 | − | 0.820241i | \(-0.306160\pi\) | |||||||
\(878\) | 129.097 | + | 177.687i | 0.147035 | + | 0.202377i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −960.753 | − | 312.744i | −1.09176 | − | 0.355391i | ||||
\(881\) | − | 402.743i | − | 0.457144i | −0.973527 | − | 0.228572i | \(-0.926594\pi\) | ||
0.973527 | − | 0.228572i | \(-0.0734056\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −359.028 | − | 1104.98i | −0.406600 | − | 1.25139i | −0.919552 | − | 0.392970i | \(-0.871448\pi\) |
0.512951 | − | 0.858418i | \(-0.328552\pi\) | |||||||
\(884\) | −186.082 | − | 60.4618i | −0.210500 | − | 0.0683957i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 891.978 | + | 648.060i | 1.00675 | + | 0.731445i | ||||
\(887\) | 464.536 | + | 150.937i | 0.523716 | + | 0.170166i | 0.558931 | − | 0.829214i | \(-0.311212\pi\) |
−0.0352149 | + | 0.999380i | \(0.511212\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 18.8162 | − | 13.6708i | 0.0211656 | − | 0.0153777i | ||||
\(890\) | 720.099i | 0.809100i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1191.80 | 1.33609 | ||||||||
\(893\) | −344.194 | − | 473.743i | −0.385436 | − | 0.530507i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −529.722 | + | 1630.32i | −0.591868 | + | 1.82158i | ||||
\(896\) | 135.541 | − | 186.557i | 0.151274 | − | 0.208211i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 669.140 | − | 2059.40i | 0.745145 | − | 2.29332i | ||||
\(899\) | 2490.92 | − | 809.349i | 2.77077 | − | 0.900277i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1086.16 | −1.20550 | ||||||||
\(902\) | −312.876 | − | 964.715i | −0.346870 | − | 1.06953i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −195.848 | + | 142.292i | −0.216646 | + | 0.157403i | ||||
\(905\) | 334.913 | − | 108.820i | 0.370070 | − | 0.120243i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1365.03 | + | 991.753i | 1.50500 | + | 1.09344i | 0.968338 | + | 0.249643i | \(0.0803131\pi\) |
0.536657 | + | 0.843800i | \(0.319687\pi\) | |||||||
\(908\) | −769.780 | + | 1059.51i | −0.847776 | + | 1.16686i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 30.8422 | + | 94.9224i | 0.0338925 | + | 0.104310i | ||||
\(911\) | −642.283 | − | 884.026i | −0.705030 | − | 0.970391i | −0.999890 | − | 0.0148504i | \(-0.995273\pi\) |
0.294859 | − | 0.955541i | \(-0.404727\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 238.270 | − | 77.2756i | 0.260974 | − | 0.0846392i | ||||
\(914\) | − | 1089.38i | − | 1.19188i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −280.775 | − | 864.136i | −0.306523 | − | 0.943380i | ||||
\(917\) | 4.37340 | + | 1.42101i | 0.00476925 | + | 0.00154962i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −974.396 | − | 707.940i | −1.06028 | − | 0.770338i | −0.0861388 | − | 0.996283i | \(-0.527453\pi\) |
−0.974140 | + | 0.225946i | \(0.927453\pi\) | |||||||
\(920\) | −492.801 | − | 160.121i | −0.535653 | − | 0.174044i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −370.523 | + | 269.201i | −0.401869 | + | 0.291975i | ||||
\(923\) | − | 17.1926i | − | 0.0186269i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 718.289 | 0.776529 | ||||||||
\(926\) | −569.965 | − | 784.489i | −0.615512 | − | 0.847180i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 710.876 | − | 2187.85i | 0.766030 | − | 2.35760i | ||||
\(929\) | 133.527 | − | 183.784i | 0.143732 | − | 0.197830i | −0.731081 | − | 0.682290i | \(-0.760984\pi\) |
0.874813 | + | 0.484460i | \(0.160984\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 184.749 | − | 568.600i | 0.198442 | − | 0.610741i | ||||
\(932\) | −753.104 | + | 244.698i | −0.808052 | + | 0.262552i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2491.48 | 2.66754 | ||||||||
\(935\) | 706.212 | − | 2169.49i | 0.755307 | − | 2.32031i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −287.786 | + | 209.089i | −0.307135 | + | 0.223147i | −0.730666 | − | 0.682735i | \(-0.760791\pi\) |
0.423531 | + | 0.905882i | \(0.360791\pi\) | |||||||
\(938\) | 702.682 | − | 228.315i | 0.749128 | − | 0.243406i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1249.81 | + | 908.037i | 1.32958 | + | 0.965997i | ||||
\(941\) | −801.260 | + | 1102.84i | −0.851498 | + | 1.17199i | 0.132032 | + | 0.991245i | \(0.457850\pi\) |
−0.983531 | + | 0.180741i | \(0.942150\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 239.683 | + | 737.668i | 0.254170 | + | 0.782256i | ||||
\(944\) | 660.123 | + | 908.581i | 0.699283 | + | 0.962480i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.0376889 | + | 69.4523i | −3.98403e−5 | + | 0.0734168i | ||||
\(947\) | − | 90.3298i | − | 0.0953852i | −0.998862 | − | 0.0476926i | \(-0.984813\pi\) | ||
0.998862 | − | 0.0476926i | \(-0.0151868\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −49.1479 | − | 151.262i | −0.0517892 | − | 0.159391i | ||||
\(950\) | 1513.85 | + | 491.880i | 1.59353 | + | 0.517769i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 157.744 | + | 114.608i | 0.165697 | + | 0.120386i | ||||
\(953\) | −582.669 | − | 189.321i | −0.611405 | − | 0.198657i | −0.0130843 | − | 0.999914i | \(-0.504165\pi\) |
−0.598320 | + | 0.801257i | \(0.704165\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 946.916 | − | 687.975i | 0.991535 | − | 0.720393i | ||||
\(956\) | 347.120i | 0.363096i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1000.63 | 1.04450 | ||||||||
\(959\) | 326.987 | + | 450.059i | 0.340967 | + | 0.469300i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 527.354 | − | 1623.03i | 0.548755 | − | 1.68890i | ||||
\(962\) | 52.0038 | − | 71.5770i | 0.0540580 | − | 0.0744044i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −321.071 | + | 988.154i | −0.333061 | + | 1.02506i | ||||
\(965\) | −1447.42 | + | 470.297i | −1.49992 | + | 0.487354i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −446.224 | −0.461452 | −0.230726 | − | 0.973019i | \(-0.574110\pi\) | ||||
−0.230726 | + | 0.973019i | \(0.574110\pi\) | |||||||
\(968\) | 186.799 | + | 257.694i | 0.192974 | + | 0.266213i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −540.445 | + | 392.656i | −0.557160 | + | 0.404800i | ||||
\(971\) | 145.304 | − | 47.2121i | 0.149644 | − | 0.0486221i | −0.233237 | − | 0.972420i | \(-0.574932\pi\) |
0.382881 | + | 0.923798i | \(0.374932\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 425.816 | + | 309.373i | 0.437632 | + | 0.317958i | ||||
\(974\) | 1025.59 | − | 1411.60i | 1.05296 | − | 1.44928i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 10.4597 | + | 32.1915i | 0.0107169 | + | 0.0329831i | ||||
\(977\) | 331.987 | + | 456.941i | 0.339803 | + | 0.467698i | 0.944384 | − | 0.328845i | \(-0.106659\pi\) |
−0.604581 | + | 0.796544i | \(0.706659\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −198.982 | + | 273.562i | −0.203250 | + | 0.279430i | ||||
\(980\) | 1577.25i | 1.60944i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −299.856 | − | 922.863i | −0.305353 | − | 0.939779i | ||||
\(983\) | −899.158 | − | 292.154i | −0.914708 | − | 0.297207i | −0.186414 | − | 0.982471i | \(-0.559687\pi\) |
−0.728294 | + | 0.685265i | \(0.759687\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2105.88 | + | 1530.01i | 2.13795 | + | 1.55331i | ||||
\(986\) | 3794.56 | + | 1232.93i | 3.84844 | + | 1.25043i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 87.1889 | − | 63.3465i | 0.0882479 | − | 0.0641158i | ||||
\(989\) | − | 53.1159i | − | 0.0537067i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1225.61 | 1.23674 | 0.618371 | − | 0.785886i | \(-0.287793\pi\) | ||||
0.618371 | + | 0.785886i | \(0.287793\pi\) | |||||||
\(992\) | −1377.18 | − | 1895.52i | −1.38828 | − | 1.91081i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −29.2900 | + | 90.1454i | −0.0294668 | + | 0.0906896i | ||||
\(995\) | −1361.55 | + | 1874.01i | −1.36839 | + | 1.88343i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −394.466 | + | 1214.04i | −0.395653 | + | 1.21770i | 0.532798 | + | 0.846242i | \(0.321140\pi\) |
−0.928452 | + | 0.371453i | \(0.878860\pi\) | |||||||
\(998\) | −1143.22 | + | 371.454i | −1.14551 | + | 0.372198i | ||||
\(999\) | 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 | 99.3.l.a.80.2 | yes | 32 | |
3.2 | odd | 2 | inner | 99.3.l.a.80.7 | yes | 32 | |
11.2 | odd | 10 | 1089.3.b.j.485.4 | 16 | |||
11.4 | even | 5 | inner | 99.3.l.a.26.7 | yes | 32 | |
11.9 | even | 5 | 1089.3.b.i.485.13 | 16 | |||
33.2 | even | 10 | 1089.3.b.j.485.13 | 16 | |||
33.20 | odd | 10 | 1089.3.b.i.485.4 | 16 | |||
33.26 | odd | 10 | inner | 99.3.l.a.26.2 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.3.l.a.26.2 | ✓ | 32 | 33.26 | odd | 10 | inner | |
99.3.l.a.26.7 | yes | 32 | 11.4 | even | 5 | inner | |
99.3.l.a.80.2 | yes | 32 | 1.1 | even | 1 | trivial | |
99.3.l.a.80.7 | yes | 32 | 3.2 | odd | 2 | inner | |
1089.3.b.i.485.4 | 16 | 33.20 | odd | 10 | |||
1089.3.b.i.485.13 | 16 | 11.9 | even | 5 | |||
1089.3.b.j.485.4 | 16 | 11.2 | odd | 10 | |||
1089.3.b.j.485.13 | 16 | 33.2 | even | 10 |