Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(97,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.y (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 385.2 | ||
Character | \(\chi\) | \(=\) | 864.385 |
Dual form | 864.2.y.b.193.2 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.67597 | − | 0.437160i | −0.967624 | − | 0.252394i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.158606 | − | 0.899497i | −0.0709306 | − | 0.402267i | −0.999515 | − | 0.0311456i | \(-0.990084\pi\) |
0.928584 | − | 0.371122i | \(-0.121027\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.25116 | − | 1.04985i | −0.472894 | − | 0.396805i | 0.374955 | − | 0.927043i | \(-0.377658\pi\) |
−0.847849 | + | 0.530238i | \(0.822103\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.61778 | + | 1.46534i | 0.872594 | + | 0.488446i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.887648 | + | 5.03410i | −0.267636 | + | 1.51784i | 0.493787 | + | 0.869583i | \(0.335612\pi\) |
−0.761423 | + | 0.648256i | \(0.775499\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.45896 | + | 0.531018i | 0.404643 | + | 0.147278i | 0.536320 | − | 0.844015i | \(-0.319814\pi\) |
−0.131677 | + | 0.991293i | \(0.542036\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.127405 | + | 1.57687i | −0.0328958 | + | 0.407146i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.661128 | − | 1.14511i | −0.160347 | − | 0.277729i | 0.774646 | − | 0.632395i | \(-0.217928\pi\) |
−0.934993 | + | 0.354666i | \(0.884595\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.16059 | + | 2.01020i | −0.266258 | + | 0.461173i | −0.967892 | − | 0.251365i | \(-0.919121\pi\) |
0.701634 | + | 0.712537i | \(0.252454\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.63796 | + | 2.30648i | 0.357433 | + | 0.503315i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.86651 | − | 2.40528i | 0.597708 | − | 0.501536i | −0.293000 | − | 0.956112i | \(-0.594654\pi\) |
0.890708 | + | 0.454576i | \(0.150209\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.91452 | − | 1.42477i | 0.782905 | − | 0.284954i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.74675 | − | 3.60026i | −0.721062 | − | 0.692870i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.0747537 | − | 0.0272081i | 0.0138814 | − | 0.00505242i | −0.335070 | − | 0.942193i | \(-0.608760\pi\) |
0.348952 | + | 0.937141i | \(0.386538\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.09516 | − | 3.43625i | 0.735512 | − | 0.617168i | −0.196116 | − | 0.980581i | \(-0.562833\pi\) |
0.931628 | + | 0.363413i | \(0.118388\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.68838 | − | 8.04898i | 0.642065 | − | 1.40115i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.745894 | + | 1.29193i | −0.126079 | + | 0.218376i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.08453 | + | 3.61052i | 0.342695 | + | 0.593566i | 0.984932 | − | 0.172940i | \(-0.0553268\pi\) |
−0.642237 | + | 0.766506i | \(0.721993\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.21304 | − | 1.52777i | −0.354370 | − | 0.244639i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.69988 | + | 2.80253i | 1.20252 | + | 0.437681i | 0.864103 | − | 0.503315i | \(-0.167887\pi\) |
0.338417 | + | 0.940996i | \(0.390109\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.29485 | − | 7.34345i | 0.197463 | − | 1.11987i | −0.711405 | − | 0.702782i | \(-0.751941\pi\) |
0.908868 | − | 0.417084i | \(-0.136948\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.902872 | − | 2.58710i | 0.134592 | − | 0.385662i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.78889 | + | 4.01836i | 0.698531 | + | 0.586137i | 0.921355 | − | 0.388721i | \(-0.127083\pi\) |
−0.222824 | + | 0.974859i | \(0.571528\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.752316 | − | 4.26660i | −0.107474 | − | 0.609514i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.607438 | + | 2.20819i | 0.0850584 | + | 0.309208i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 10.3219 | 1.41782 | 0.708911 | − | 0.705298i | \(-0.249187\pi\) | ||||
0.708911 | + | 0.705298i | \(0.249187\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.66894 | 0.629560 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.82390 | − | 2.86169i | 0.374035 | − | 0.379040i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.03999 | + | 5.89807i | 0.135395 | + | 0.767864i | 0.974584 | + | 0.224023i | \(0.0719192\pi\) |
−0.839189 | + | 0.543840i | \(0.816970\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.68954 | − | 1.41769i | −0.216324 | − | 0.181517i | 0.528186 | − | 0.849129i | \(-0.322872\pi\) |
−0.744510 | + | 0.667612i | \(0.767317\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.73688 | − | 4.58165i | −0.218827 | − | 0.577233i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.246250 | − | 1.39655i | 0.0305435 | − | 0.173221i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.0698559 | − | 0.0254255i | −0.00853425 | − | 0.00310621i | 0.337749 | − | 0.941236i | \(-0.390334\pi\) |
−0.346284 | + | 0.938130i | \(0.612557\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.85568 | + | 2.77807i | −0.704942 | + | 0.334441i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.73567 | + | 6.47037i | 0.443343 | + | 0.767892i | 0.997935 | − | 0.0642300i | \(-0.0204591\pi\) |
−0.554592 | + | 0.832122i | \(0.687126\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.83421 | + | 6.64105i | −0.448760 | + | 0.777276i | −0.998306 | − | 0.0581881i | \(-0.981468\pi\) |
0.549545 | + | 0.835464i | \(0.314801\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.18350 | + | 0.676606i | −0.829479 | + | 0.0781277i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.39564 | − | 5.36658i | 0.728850 | − | 0.611578i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 14.7441 | − | 5.36643i | 1.65884 | − | 0.603770i | 0.668664 | − | 0.743565i | \(-0.266867\pi\) |
0.990180 | + | 0.139795i | \(0.0446443\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.70557 | + | 7.67187i | 0.522841 | + | 0.852430i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.07899 | + | 0.392719i | −0.118434 | + | 0.0431066i | −0.400558 | − | 0.916272i | \(-0.631184\pi\) |
0.282123 | + | 0.959378i | \(0.408961\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.925161 | + | 0.776302i | −0.100348 | + | 0.0842018i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.137180 | + | 0.0129208i | −0.0147072 | + | 0.00138526i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −9.09078 | + | 15.7457i | −0.963621 | + | 1.66904i | −0.250344 | + | 0.968157i | \(0.580544\pi\) |
−0.713276 | + | 0.700883i | \(0.752789\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.26790 | − | 2.19608i | −0.132913 | − | 0.230211i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −8.36557 | + | 3.96882i | −0.867470 | + | 0.411548i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.99225 | + | 0.725119i | 0.204400 | + | 0.0743957i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.75201 | − | 9.93616i | 0.177890 | − | 1.00886i | −0.756865 | − | 0.653571i | \(-0.773270\pi\) |
0.934755 | − | 0.355293i | \(-0.115619\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −9.70033 | + | 11.8775i | −0.974920 | + | 1.19373i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −9.92348 | − | 8.32679i | −0.987424 | − | 0.828547i | −0.00223089 | − | 0.999998i | \(-0.500710\pi\) |
−0.985193 | + | 0.171451i | \(0.945155\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.35040 | − | 7.65849i | −0.133059 | − | 0.754613i | −0.976192 | − | 0.216909i | \(-0.930403\pi\) |
0.843133 | − | 0.537705i | \(-0.180708\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.81488 | − | 1.83916i | 0.177114 | − | 0.179484i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 8.66656 | 0.837828 | 0.418914 | − | 0.908026i | \(-0.362411\pi\) | ||||
0.418914 | + | 0.908026i | \(0.362411\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 17.3261 | 1.65954 | 0.829768 | − | 0.558109i | \(-0.188473\pi\) | ||||
0.829768 | + | 0.558109i | \(0.188473\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.91525 | − | 6.96241i | −0.181788 | − | 0.660843i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.381238 | + | 2.16211i | 0.0358639 | + | 0.203394i | 0.997475 | − | 0.0710227i | \(-0.0226263\pi\) |
−0.961611 | + | 0.274417i | \(0.911515\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.61819 | − | 2.19692i | −0.244147 | − | 0.204864i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.04112 | + | 3.52796i | 0.281151 | + | 0.326160i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.375012 | + | 2.12680i | −0.0343773 | + | 0.194963i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −14.2176 | − | 5.17480i | −1.29251 | − | 0.470436i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −11.6797 | − | 8.06304i | −1.05312 | − | 0.727020i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −4.18587 | − | 7.25015i | −0.374396 | − | 0.648473i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.0273 | − | 17.3678i | 0.889777 | − | 1.54114i | 0.0496382 | − | 0.998767i | \(-0.484193\pi\) |
0.840139 | − | 0.542372i | \(-0.182473\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.38040 | + | 11.7414i | −0.473718 | + | 1.03377i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −9.91431 | + | 8.31909i | −0.866217 | + | 0.726843i | −0.963298 | − | 0.268434i | \(-0.913494\pi\) |
0.0970808 | + | 0.995277i | \(0.469049\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.56250 | − | 1.29664i | 0.308908 | − | 0.112433i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.64417 | + | 3.94121i | −0.227574 | + | 0.339205i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −12.8377 | + | 4.67256i | −1.09680 | + | 0.399204i | −0.826137 | − | 0.563470i | \(-0.809466\pi\) |
−0.270666 | + | 0.962673i | \(0.587244\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.92501 | − | 4.13257i | 0.417734 | − | 0.350520i | −0.409566 | − | 0.912280i | \(-0.634320\pi\) |
0.827300 | + | 0.561760i | \(0.189876\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.26939 | − | 8.82817i | −0.527978 | − | 0.743466i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.96824 | + | 6.87320i | −0.331841 | + | 0.574765i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.0363300 | − | 0.0629254i | −0.00301704 | − | 0.00522567i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.604322 | + | 7.47959i | −0.0498436 | + | 0.616906i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.52311 | + | 0.918335i | 0.206701 | + | 0.0752329i | 0.443296 | − | 0.896375i | \(-0.353809\pi\) |
−0.236595 | + | 0.971608i | \(0.576031\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.61660 | + | 20.5107i | −0.294314 | + | 1.66914i | 0.375661 | + | 0.926757i | \(0.377416\pi\) |
−0.669975 | + | 0.742383i | \(0.733695\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.0527201 | − | 3.96641i | −0.00426217 | − | 0.320666i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.74041 | − | 3.13858i | −0.300437 | − | 0.252096i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.34143 | + | 7.60761i | 0.107058 | + | 0.607154i | 0.990379 | + | 0.138385i | \(0.0441911\pi\) |
−0.883321 | + | 0.468769i | \(0.844698\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −17.2992 | − | 4.51232i | −1.37192 | − | 0.357850i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −6.11164 | −0.481665 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.18421 | 0.327733 | 0.163866 | − | 0.986483i | \(-0.447603\pi\) | ||||
0.163866 | + | 0.986483i | \(0.447603\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −7.82503 | − | 2.04108i | −0.609178 | − | 0.158898i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.87330 | + | 10.6240i | 0.144960 | + | 0.822111i | 0.967399 | + | 0.253257i | \(0.0815018\pi\) |
−0.822439 | + | 0.568854i | \(0.807387\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.11199 | − | 6.80677i | −0.624000 | − | 0.523598i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.98381 | + | 3.56162i | −0.457593 | + | 0.272364i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.50365 | − | 14.1989i | 0.190349 | − | 1.07952i | −0.728538 | − | 0.685005i | \(-0.759800\pi\) |
0.918888 | − | 0.394519i | \(-0.129089\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.39349 | − | 2.32704i | −0.483303 | − | 0.175908i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.835405 | − | 10.3397i | 0.0627929 | − | 0.777177i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.33967 | + | 9.24858i | 0.399106 | + | 0.691271i | 0.993616 | − | 0.112817i | \(-0.0359873\pi\) |
−0.594510 | + | 0.804088i | \(0.702654\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.4877 | + | 19.8973i | −0.853876 | + | 1.47896i | 0.0238086 | + | 0.999717i | \(0.492421\pi\) |
−0.877684 | + | 0.479239i | \(0.840913\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.21187 | + | 3.11462i | 0.163506 | + | 0.230239i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.91703 | − | 2.44768i | 0.214464 | − | 0.179957i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.35143 | − | 2.31173i | 0.464463 | − | 0.169051i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.908060 | + | 8.43802i | 0.0660517 | + | 0.613776i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.56758 | − | 1.66246i | 0.330498 | − | 0.120292i | −0.171441 | − | 0.985194i | \(-0.554842\pi\) |
0.501939 | + | 0.864903i | \(0.332620\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.0728 | + | 12.6476i | −1.08496 | + | 0.910392i | −0.996323 | − | 0.0856719i | \(-0.972696\pi\) |
−0.0886394 | + | 0.996064i | \(0.528252\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.02322 | + | 2.23294i | −0.0732747 | + | 0.159904i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −8.86378 | + | 15.3525i | −0.631518 | + | 1.09382i | 0.355724 | + | 0.934591i | \(0.384234\pi\) |
−0.987242 | + | 0.159230i | \(0.949099\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.78507 | − | 4.82388i | −0.197428 | − | 0.341956i | 0.750266 | − | 0.661137i | \(-0.229926\pi\) |
−0.947694 | + | 0.319181i | \(0.896592\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.105962 | + | 0.0731506i | 0.00747396 | + | 0.00515965i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.122093 | − | 0.0444383i | −0.00856927 | − | 0.00311896i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.29962 | − | 7.37051i | 0.0907694 | − | 0.514779i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 11.0284 | − | 2.09611i | 0.766530 | − | 0.145690i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −9.08938 | − | 7.62689i | −0.628725 | − | 0.527563i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.818207 | + | 4.64028i | 0.0563277 | + | 0.319450i | 0.999932 | − | 0.0116239i | \(-0.00370009\pi\) |
−0.943605 | + | 0.331074i | \(0.892589\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.43230 | − | 12.4773i | −0.235178 | − | 0.854928i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −6.81078 | −0.464491 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.73124 | −0.592715 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 9.32924 | − | 9.45407i | 0.630412 | − | 0.638847i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.356486 | − | 2.02173i | −0.0239799 | − | 0.135997i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.44885 | − | 7.92852i | −0.632742 | − | 0.530933i | 0.269038 | − | 0.963130i | \(-0.413294\pi\) |
−0.901780 | + | 0.432196i | \(0.857739\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 12.3351 | + | 2.00636i | 0.822343 | + | 0.133757i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.621004 | − | 3.52189i | 0.0412175 | − | 0.233756i | −0.957239 | − | 0.289299i | \(-0.906578\pi\) |
0.998456 | + | 0.0555429i | \(0.0176890\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −19.6799 | − | 7.16289i | −1.30048 | − | 0.473337i | −0.403329 | − | 0.915055i | \(-0.632147\pi\) |
−0.897154 | + | 0.441718i | \(0.854369\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −13.0650 | + | 6.19833i | −0.859612 | + | 0.407820i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 12.4263 | + | 21.5230i | 0.814074 | + | 1.41002i | 0.909991 | + | 0.414628i | \(0.136088\pi\) |
−0.0959174 | + | 0.995389i | \(0.530578\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.85495 | − | 4.94492i | 0.186237 | − | 0.322571i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −27.0568 | + | 2.54845i | −1.75753 | + | 0.165540i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 11.3987 | − | 9.56464i | 0.737320 | − | 0.618685i | −0.194796 | − | 0.980844i | \(-0.562405\pi\) |
0.932117 | + | 0.362158i | \(0.117960\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.15858 | − | 1.14963i | 0.203462 | − | 0.0740542i | −0.238279 | − | 0.971197i | \(-0.576583\pi\) |
0.441741 | + | 0.897143i | \(0.354361\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −4.53258 | − | 14.9149i | −0.290765 | − | 0.956794i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.71847 | + | 1.35341i | −0.237564 | + | 0.0864663i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.76071 | + | 2.31651i | −0.175660 | + | 0.147396i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.98004 | − | 0.186498i | 0.125480 | − | 0.0118188i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.93370 | − | 8.54542i | 0.311412 | − | 0.539382i | −0.667256 | − | 0.744828i | \(-0.732531\pi\) |
0.978668 | + | 0.205446i | \(0.0658646\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.56400 | + | 16.5653i | 0.601283 | + | 1.04145i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.88991 | − | 0.896620i | 0.118351 | − | 0.0561485i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.22778 | + | 1.17482i | 0.201344 | + | 0.0732831i | 0.440724 | − | 0.897643i | \(-0.354722\pi\) |
−0.239380 | + | 0.970926i | \(0.576944\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.18241 | − | 6.70579i | 0.0734714 | − | 0.416677i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.235558 | + | 0.0383145i | 0.0145807 | + | 0.00237161i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 12.4722 | + | 10.4654i | 0.769066 | + | 0.645323i | 0.940470 | − | 0.339878i | \(-0.110386\pi\) |
−0.171403 | + | 0.985201i | \(0.554830\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.63711 | − | 9.28452i | −0.100567 | − | 0.570343i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 22.1193 | − | 22.4153i | 1.35368 | − | 1.37179i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −16.8944 | −1.03007 | −0.515035 | − | 0.857169i | \(-0.672221\pi\) | ||||
−0.515035 | + | 0.857169i | \(0.672221\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.50352 | −0.152078 | −0.0760389 | − | 0.997105i | \(-0.524227\pi\) | ||||
−0.0760389 | + | 0.997105i | \(0.524227\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.16494 | + | 4.23484i | 0.0705054 | + | 0.256304i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3.69772 | + | 20.9708i | 0.222981 | + | 1.26459i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 16.6397 | + | 13.9624i | 0.999785 | + | 0.838919i | 0.986955 | − | 0.160998i | \(-0.0514714\pi\) |
0.0128303 | + | 0.999918i | \(0.495916\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 15.7555 | − | 2.99455i | 0.943257 | − | 0.179279i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.76595 | + | 10.0152i | −0.105348 | + | 0.597456i | 0.885733 | + | 0.464194i | \(0.153656\pi\) |
−0.991081 | + | 0.133261i | \(0.957455\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 21.3886 | + | 7.78482i | 1.27142 | + | 0.462760i | 0.887586 | − | 0.460642i | \(-0.152381\pi\) |
0.383836 | + | 0.923401i | \(0.374603\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −3.02197 | − | 2.08621i | −0.179006 | − | 0.123577i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −6.69156 | − | 11.5901i | −0.394990 | − | 0.684143i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.62582 | − | 13.2083i | 0.448578 | − | 0.776959i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.28002 | + | 15.8868i | −0.426762 | + | 0.931303i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 25.9472 | − | 21.7723i | 1.51585 | − | 1.27195i | 0.664585 | − | 0.747213i | \(-0.268608\pi\) |
0.851265 | − | 0.524737i | \(-0.175836\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.14035 | − | 1.87093i | 0.299283 | − | 0.108930i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 21.4499 | − | 15.6658i | 1.24465 | − | 0.909020i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 5.45936 | − | 1.98705i | 0.315723 | − | 0.114914i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.32958 | + | 7.82844i | −0.537748 | + | 0.451224i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 12.9914 | + | 18.2936i | 0.746335 | + | 1.05094i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.00724 | + | 1.74459i | −0.0576744 | + | 0.0998950i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.49176 | + | 6.04791i | 0.199285 | + | 0.345173i | 0.948297 | − | 0.317384i | \(-0.102805\pi\) |
−0.749011 | + | 0.662557i | \(0.769471\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.08475 | + | 13.4258i | −0.0617093 | + | 0.763766i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.44915 | − | 3.07524i | −0.479107 | − | 0.174381i | 0.0911662 | − | 0.995836i | \(-0.470941\pi\) |
−0.570273 | + | 0.821455i | \(0.693163\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.11285 | − | 23.3251i | 0.232472 | − | 1.31841i | −0.615401 | − | 0.788214i | \(-0.711006\pi\) |
0.847873 | − | 0.530199i | \(-0.177883\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.84570 | + | 2.28900i | −0.216681 | + | 0.128970i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −13.0106 | − | 10.9172i | −0.730749 | − | 0.613171i | 0.199587 | − | 0.979880i | \(-0.436040\pi\) |
−0.930336 | + | 0.366709i | \(0.880484\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.0706135 | + | 0.400469i | 0.00395360 | + | 0.0224220i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −14.5249 | − | 3.78867i | −0.810703 | − | 0.211463i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.06920 | 0.170775 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.46771 | 0.358764 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −29.0380 | − | 7.57426i | −1.60581 | − | 0.418858i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.77301 | − | 10.0552i | −0.0977490 | − | 0.554362i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.7632 | − | 13.2269i | −0.866423 | − | 0.727015i | 0.0969185 | − | 0.995292i | \(-0.469101\pi\) |
−0.963342 | + | 0.268277i | \(0.913546\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.166226 | + | 12.5061i | 0.00910915 | + | 0.685330i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.0117906 | + | 0.0668678i | −0.000644189 | + | 0.00365338i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.92735 | − | 3.61326i | −0.540777 | − | 0.196827i | 0.0571669 | − | 0.998365i | \(-0.481793\pi\) |
−0.597944 | + | 0.801538i | \(0.704016\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.306242 | − | 3.79030i | 0.0166328 | − | 0.205861i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.6634 | + | 23.6656i | 0.739912 | + | 1.28157i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.25447 | + | 16.0292i | −0.499694 | + | 0.865496i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 3.42761 | + | 4.82655i | 0.184536 | + | 0.259853i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 13.9395 | − | 11.6966i | 0.748312 | − | 0.627908i | −0.186744 | − | 0.982409i | \(-0.559793\pi\) |
0.935056 | + | 0.354500i | \(0.115349\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 32.8524 | − | 11.9573i | 1.75855 | − | 0.640060i | 0.758616 | − | 0.651538i | \(-0.225876\pi\) |
0.999934 | + | 0.0114776i | \(0.00365353\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.55456 | − | 7.24222i | −0.189728 | − | 0.386561i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 3.45455 | − | 1.25735i | 0.183867 | − | 0.0669222i | −0.248446 | − | 0.968646i | \(-0.579920\pi\) |
0.432313 | + | 0.901724i | \(0.357698\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.22758 | − | 4.38646i | 0.277451 | − | 0.232809i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.55826 | − | 3.40052i | 0.0824719 | − | 0.179974i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −10.2575 | + | 17.7665i | −0.541370 | + | 0.937680i | 0.457456 | + | 0.889232i | \(0.348761\pi\) |
−0.998826 | + | 0.0484479i | \(0.984573\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.80605 | + | 11.7884i | 0.358213 | + | 0.620444i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 21.5662 | + | 14.8882i | 1.13193 | + | 0.781429i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 6.58173 | + | 2.39555i | 0.344503 | + | 0.125389i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.80904 | + | 32.9447i | −0.303229 | + | 1.71970i | 0.328496 | + | 0.944505i | \(0.393458\pi\) |
−0.631725 | + | 0.775193i | \(0.717653\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 16.0500 | + | 18.6193i | 0.835528 | + | 0.969284i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −12.9144 | − | 10.8364i | −0.670480 | − | 0.562600i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.34279 | − | 13.2866i | −0.121305 | − | 0.687954i | −0.983434 | − | 0.181266i | \(-0.941981\pi\) |
0.862129 | − | 0.506688i | \(-0.169130\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 3.84595 | + | 13.9810i | 0.198604 | + | 0.721974i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.123511 | 0.00636112 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.7527 | −1.57966 | −0.789830 | − | 0.613325i | \(-0.789831\pi\) | ||||
−0.789830 | + | 0.613325i | \(0.789831\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −24.3979 | + | 24.7244i | −1.24994 | + | 1.26667i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −5.78899 | − | 32.8310i | −0.295804 | − | 1.67759i | −0.663918 | − | 0.747805i | \(-0.731108\pi\) |
0.368115 | − | 0.929780i | \(-0.380003\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.84160 | − | 4.90168i | −0.297716 | − | 0.249813i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 14.1503 | − | 17.3262i | 0.719299 | − | 0.880739i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 4.57033 | − | 25.9196i | 0.231725 | − | 1.31418i | −0.617677 | − | 0.786432i | \(-0.711926\pi\) |
0.849402 | − | 0.527746i | \(-0.176963\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.64943 | − | 1.69225i | −0.235132 | − | 0.0855810i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 20.2529 | − | 9.60845i | 1.02162 | − | 0.484682i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −7.16558 | − | 12.4112i | −0.360540 | − | 0.624473i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.56953 | + | 9.64672i | −0.279527 | + | 0.484155i | −0.971267 | − | 0.237992i | \(-0.923511\pi\) |
0.691740 | + | 0.722146i | \(0.256844\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −6.53750 | + | 0.615760i | −0.327284 | + | 0.0308266i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.96288 | + | 5.00345i | −0.297772 | + | 0.249860i | −0.779416 | − | 0.626506i | \(-0.784484\pi\) |
0.481644 | + | 0.876367i | \(0.340040\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.79938 | − | 2.83874i | 0.388515 | − | 0.141408i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 6.15449 | − | 5.44945i | 0.305819 | − | 0.270785i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −20.0261 | + | 7.28889i | −0.992655 | + | 0.361297i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.53837 | − | 1.29084i | 0.0760674 | − | 0.0638281i | −0.603961 | − | 0.797014i | \(-0.706412\pi\) |
0.680029 | + | 0.733186i | \(0.261967\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 23.5584 | − | 2.21894i | 1.16205 | − | 0.109452i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 4.89089 | − | 8.47127i | 0.240665 | − | 0.416844i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.524383 | + | 0.908259i | 0.0257410 | + | 0.0445847i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −10.0608 | + | 4.77307i | −0.492679 | + | 0.233738i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 1.54093 | + | 0.560851i | 0.0752792 | + | 0.0273994i | 0.379385 | − | 0.925239i | \(-0.376136\pi\) |
−0.304106 | + | 0.952638i | \(0.598358\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.80867 | − | 15.9288i | 0.136886 | − | 0.776321i | −0.836641 | − | 0.547751i | \(-0.815484\pi\) |
0.973528 | − | 0.228570i | \(-0.0734049\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 6.64802 | + | 17.5365i | 0.323238 | + | 0.852655i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.21951 | − | 3.54059i | −0.204676 | − | 0.171744i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.625524 | + | 3.54752i | 0.0302712 | + | 0.171677i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 9.65536 | − | 9.78455i | 0.466165 | − | 0.472402i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −34.7870 | −1.67563 | −0.837816 | − | 0.545952i | \(-0.816168\pi\) | ||||
−0.837816 | + | 0.545952i | \(0.816168\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 28.2579 | 1.35799 | 0.678994 | − | 0.734144i | \(-0.262416\pi\) | ||||
0.678994 | + | 0.734144i | \(0.262416\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.0333797 | + | 0.121343i | 0.00160043 | + | 0.00581797i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.50827 | + | 8.55382i | 0.0721503 | + | 0.409185i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.0220 | − | 9.24858i | −0.526053 | − | 0.441411i | 0.340683 | − | 0.940178i | \(-0.389342\pi\) |
−0.866736 | + | 0.498768i | \(0.833786\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.28260 | − | 12.2714i | 0.203934 | − | 0.584353i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 1.80438 | − | 10.2331i | 0.0857285 | − | 0.486191i | −0.911468 | − | 0.411370i | \(-0.865050\pi\) |
0.997197 | − | 0.0748208i | \(-0.0238385\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 15.6050 | + | 5.67977i | 0.739750 | + | 0.269247i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −3.82720 | − | 2.64211i | −0.181020 | − | 0.124967i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11.5067 | + | 19.9301i | 0.543033 | + | 0.940560i | 0.998728 | + | 0.0504241i | \(0.0160573\pi\) |
−0.455695 | + | 0.890136i | \(0.650609\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −20.9430 | + | 36.2743i | −0.986167 | + | 1.70809i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 15.0278 | − | 32.7945i | 0.706068 | − | 1.54082i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.77427 | + | 1.48879i | −0.0831789 | + | 0.0697954i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.42490 | + | 0.518622i | −0.0666541 | + | 0.0242601i | −0.375132 | − | 0.926971i | \(-0.622403\pi\) |
0.308478 | + | 0.951231i | \(0.400180\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.64560 | + | 6.67066i | −0.0768100 | + | 0.311360i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 7.20103 | − | 2.62096i | 0.335385 | − | 0.122070i | −0.168837 | − | 0.985644i | \(-0.554001\pi\) |
0.504223 | + | 0.863574i | \(0.331779\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −25.2827 | + | 21.2147i | −1.17499 | + | 0.985931i | −0.174988 | + | 0.984571i | \(0.555989\pi\) |
−0.999999 | + | 0.00136057i | \(0.999567\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 4.89677 | + | 6.89533i | 0.227082 | + | 0.319763i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 15.9624 | − | 27.6477i | 0.738653 | − | 1.27938i | −0.214449 | − | 0.976735i | \(-0.568796\pi\) |
0.953102 | − | 0.302649i | \(-0.0978710\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.0607081 | + | 0.105149i | 0.00280324 | + | 0.00485535i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.07754 | − | 13.3366i | 0.0496507 | − | 0.614517i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 35.8183 | + | 13.0368i | 1.64693 | + | 0.599433i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.67909 | + | 9.52257i | −0.0770418 | + | 0.436926i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 27.0205 | + | 15.1251i | 1.23718 | + | 0.692530i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 8.68278 | + | 7.28571i | 0.396726 | + | 0.332893i | 0.819227 | − | 0.573470i | \(-0.194403\pi\) |
−0.422500 | + | 0.906363i | \(0.638848\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.12400 | + | 6.37453i | 0.0512500 | + | 0.290653i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 10.2430 | + | 2.67177i | 0.466071 | + | 0.121570i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −9.21542 | −0.418451 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 31.9729 | 1.44883 | 0.724415 | − | 0.689365i | \(-0.242110\pi\) | ||||
0.724415 | + | 0.689365i | \(0.242110\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −7.01263 | − | 1.82917i | −0.317122 | − | 0.0827179i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.40328 | − | 13.6297i | −0.108458 | − | 0.615098i | −0.989782 | − | 0.142586i | \(-0.954458\pi\) |
0.881324 | − | 0.472512i | \(-0.156653\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.0805779 | − | 0.0676129i | −0.00362905 | − | 0.00304513i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 12.2223 | + | 6.84158i | 0.549351 | + | 0.307506i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.11899 | − | 12.0174i | 0.0950495 | − | 0.539053i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.12831 | + | 2.59449i | 0.319107 | + | 0.116145i | 0.496607 | − | 0.867975i | \(-0.334579\pi\) |
−0.177500 | + | 0.984121i | \(0.556801\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.50479 | − | 18.6245i | 0.0672290 | − | 0.832082i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −8.50373 | − | 14.7289i | −0.379162 | − | 0.656728i | 0.611778 | − | 0.791029i | \(-0.290454\pi\) |
−0.990941 | + | 0.134301i | \(0.957121\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.91600 | + | 10.2468i | −0.263259 | + | 0.455977i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 10.6198 | + | 14.9542i | 0.471644 | + | 0.664140i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 18.9563 | − | 15.9063i | 0.840225 | − | 0.705033i | −0.117389 | − | 0.993086i | \(-0.537452\pi\) |
0.957614 | + | 0.288053i | \(0.0930080\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.7693 | − | 4.28368i | 0.520644 | − | 0.189499i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 11.5857 | − | 3.35330i | 0.511521 | − | 0.148052i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −6.67461 | + | 2.42936i | −0.294118 | + | 0.107050i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −24.4797 | + | 20.5409i | −1.07661 | + | 0.903387i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −10.4033 | + | 22.7025i | −0.456652 | + | 0.996531i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −4.92213 | + | 8.52538i | −0.215643 | + | 0.373504i | −0.953471 | − | 0.301484i | \(-0.902518\pi\) |
0.737829 | + | 0.674988i | \(0.235851\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.49604 | + | 9.51943i | 0.240325 | + | 0.416256i | 0.960807 | − | 0.277218i | \(-0.0894126\pi\) |
−0.720482 | + | 0.693474i | \(0.756079\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 9.69804 | + | 6.69504i | 0.423257 | + | 0.292196i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −6.64229 | − | 2.41760i | −0.289343 | − | 0.105312i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.56244 | + | 8.86106i | −0.0679323 | + | 0.385263i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −5.92021 | + | 16.9638i | −0.256915 | + | 0.736167i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 9.74562 | + | 8.17755i | 0.422130 | + | 0.354209i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.37456 | − | 7.79554i | −0.0594276 | − | 0.337031i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −4.90604 | − | 17.8347i | −0.211711 | − | 0.769623i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 22.1463 | 0.953907 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.17773 | 0.265601 | 0.132801 | − | 0.991143i | \(-0.457603\pi\) | ||||
0.132801 | + | 0.991143i | \(0.457603\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 27.9514 | − | 28.3254i | 1.19951 | − | 1.21556i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2.74801 | − | 15.5847i | −0.117712 | − | 0.667577i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −26.0849 | − | 21.8878i | −1.11531 | − | 0.935857i | −0.116952 | − | 0.993138i | \(-0.537313\pi\) |
−0.998358 | + | 0.0572808i | \(0.981757\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.34545 | − | 6.18696i | −0.100101 | − | 0.264053i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.0320647 | + | 0.181848i | −0.00136600 | + | 0.00774698i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −24.0812 | − | 8.76484i | −1.02404 | − | 0.372719i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5.95890 | + | 2.82704i | −0.252941 | + | 0.120001i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 6.11418 | + | 10.5901i | 0.259066 | + | 0.448716i | 0.965992 | − | 0.258572i | \(-0.0832519\pi\) |
−0.706926 | + | 0.707288i | \(0.749919\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.78864 | − | 10.0262i | 0.244833 | − | 0.424064i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −11.6554 | + | 1.09781i | −0.492093 | + | 0.0463497i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −18.5963 | + | 15.6042i | −0.783742 | + | 0.657637i | −0.944188 | − | 0.329407i | \(-0.893151\pi\) |
0.160446 | + | 0.987045i | \(0.448707\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.88434 | − | 0.685845i | 0.0792750 | − | 0.0288537i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.16688 | − | 14.5389i | 0.0910004 | − | 0.610576i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −11.5281 | + | 4.19590i | −0.483284 | + | 0.175901i | −0.572161 | − | 0.820142i | \(-0.693895\pi\) |
0.0888763 | + | 0.996043i | \(0.471672\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.91500 | + | 7.48058i | −0.373081 | + | 0.313052i | −0.809979 | − | 0.586459i | \(-0.800522\pi\) |
0.436898 | + | 0.899511i | \(0.356077\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −8.38191 | + | 0.789483i | −0.350159 | + | 0.0329811i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 7.79403 | − | 13.4997i | 0.325033 | − | 0.562974i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 18.3725 | + | 31.8220i | 0.764856 | + | 1.32477i | 0.940323 | + | 0.340283i | \(0.110523\pi\) |
−0.175467 | + | 0.984485i | \(0.556144\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 30.7906 | − | 14.6078i | 1.27961 | − | 0.607079i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.76228 | + | 0.641419i | 0.0731118 | + | 0.0266105i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.16222 | + | 51.9615i | −0.379460 | + | 2.15203i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 2.69105 | − | 3.29503i | 0.111261 | − | 0.136233i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −31.8718 | − | 26.7436i | −1.31549 | − | 1.10383i | −0.987241 | − | 0.159236i | \(-0.949097\pi\) |
−0.328249 | − | 0.944591i | \(-0.606458\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.15475 | + | 12.2202i | 0.0887849 | + | 0.503524i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 21.5670 | − | 21.8555i | 0.887146 | − | 0.899016i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −18.6260 | −0.764877 | −0.382438 | − | 0.923981i | \(-0.624916\pi\) | ||||
−0.382438 | + | 0.923981i | \(0.624916\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.97253 | 0.0808656 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.55890 | + | 9.30223i | 0.104729 | + | 0.380715i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −6.05175 | − | 34.3212i | −0.247268 | − | 1.40232i | −0.815167 | − | 0.579227i | \(-0.803355\pi\) |
0.567899 | − | 0.823098i | \(-0.307756\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.05833 | + | 3.40534i | 0.165543 | + | 0.138907i | 0.721796 | − | 0.692106i | \(-0.243317\pi\) |
−0.556253 | + | 0.831013i | \(0.687761\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.145611 | − | 0.168921i | −0.00592972 | − | 0.00687899i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.39972 | + | 13.6095i | −0.0975624 | + | 0.553304i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −42.8968 | − | 15.6132i | −1.74113 | − | 0.633719i | −0.741809 | − | 0.670611i | \(-0.766032\pi\) |
−0.999319 | + | 0.0368918i | \(0.988254\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.185199 | + | 0.127852i | 0.00750463 | + | 0.00518082i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 4.85298 | + | 8.40561i | 0.196330 | + | 0.340054i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.3555 | − | 24.8644i | 0.579812 | − | 1.00426i | −0.415688 | − | 0.909507i | \(-0.636459\pi\) |
0.995500 | − | 0.0947573i | \(-0.0302075\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −5.40023 | + | 11.7847i | −0.217758 | + | 0.475203i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −8.30054 | + | 6.96498i | −0.334167 | + | 0.280399i | −0.794395 | − | 0.607401i | \(-0.792212\pi\) |
0.460228 | + | 0.887801i | \(0.347768\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 45.1107 | − | 16.4189i | 1.81315 | − | 0.659933i | 0.816577 | − | 0.577236i | \(-0.195869\pi\) |
0.996575 | − | 0.0826968i | \(-0.0263533\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −19.3997 | − | 1.30816i | −0.778484 | − | 0.0524948i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 27.9046 | − | 10.1564i | 1.11797 | − | 0.406910i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.0982 | − | 8.47337i | 0.403927 | − | 0.338935i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 11.8994 | + | 16.7560i | 0.475216 | + | 0.669170i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 2.75629 | − | 4.77403i | 0.109900 | − | 0.190353i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.97244 | − | 3.41636i | −0.0785214 | − | 0.136003i | 0.824091 | − | 0.566458i | \(-0.191687\pi\) |
−0.902612 | + | 0.430455i | \(0.858353\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.657251 | − | 8.13468i | 0.0261234 | − | 0.323325i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −17.2126 | − | 6.26488i | −0.683062 | − | 0.248614i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.16804 | − | 6.62428i | 0.0462794 | − | 0.262464i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.297893 | + | 22.4121i | 0.0117844 | + | 0.886607i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −30.9739 | − | 25.9902i | −1.22339 | − | 1.02655i | −0.998640 | − | 0.0521339i | \(-0.983398\pi\) |
−0.224754 | − | 0.974416i | \(-0.572158\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.48821 | + | 19.7826i | 0.137561 | + | 0.780150i | 0.973042 | + | 0.230629i | \(0.0740784\pi\) |
−0.835480 | + | 0.549520i | \(0.814810\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 11.4147 | + | 2.97740i | 0.449453 | + | 0.117235i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 24.0065 | 0.943794 | 0.471897 | − | 0.881654i | \(-0.343569\pi\) | ||||
0.471897 | + | 0.881654i | \(0.343569\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −30.6147 | −1.20173 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 14.6333 | + | 3.81695i | 0.573526 | + | 0.149598i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −1.65099 | − | 9.36326i | −0.0646084 | − | 0.366412i | −0.999921 | − | 0.0125893i | \(-0.995993\pi\) |
0.935312 | − | 0.353823i | \(-0.115119\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.05546 | + | 7.59844i | 0.353826 | + | 0.296895i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −19.7685 | + | 11.7664i | −0.771243 | + | 0.459051i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 4.02748 | − | 22.8410i | 0.156888 | − | 0.889758i | −0.800151 | − | 0.599799i | \(-0.795247\pi\) |
0.957039 | − | 0.289959i | \(-0.0936416\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.4498 | − | 6.71518i | −0.717614 | − | 0.261190i | −0.0427014 | − | 0.999088i | \(-0.513596\pi\) |
−0.674912 | + | 0.737898i | \(0.735819\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.286359 | + | 3.54422i | −0.0111213 | + | 0.137646i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.73136 | − | 2.99880i | −0.0671392 | − | 0.116289i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.148839 | − | 0.257796i | 0.00576306 | − | 0.00998190i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 12.3700 | + | 17.4187i | 0.478252 | + | 0.673444i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 8.63653 | − | 7.24691i | 0.333410 | − | 0.279764i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 37.7532 | − | 13.7410i | 1.45528 | − | 0.529678i | 0.511218 | − | 0.859451i | \(-0.329194\pi\) |
0.944060 | + | 0.329773i | \(0.106972\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −19.7963 | − | 8.75504i | −0.761959 | − | 0.336982i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −22.7982 | + | 8.29787i | −0.876206 | + | 0.318913i | −0.740678 | − | 0.671860i | \(-0.765495\pi\) |
−0.135529 | + | 0.990773i | \(0.543273\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −12.6235 | + | 10.5924i | −0.484446 | + | 0.406498i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.58042 | + | 5.63112i | −0.0988818 | + | 0.215785i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −5.13229 | + | 8.88938i | −0.196382 | + | 0.340143i | −0.947353 | − | 0.320192i | \(-0.896252\pi\) |
0.750971 | + | 0.660335i | \(0.229586\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.23909 | + | 10.8064i | 0.238383 | + | 0.412892i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 29.8517 | + | 20.6081i | 1.13891 | + | 0.786247i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 15.0592 | + | 5.48112i | 0.573711 | + | 0.208814i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.11802 | + | 46.0396i | −0.308824 | + | 1.75143i | 0.296112 | + | 0.955153i | \(0.404310\pi\) |
−0.604936 | + | 0.796274i | \(0.706801\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 24.6062 | − | 4.67676i | 0.934713 | − | 0.177655i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.49837 | − | 3.77458i | −0.170633 | − | 0.143178i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.88141 | − | 10.6700i | −0.0712635 | − | 0.404156i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −11.4172 | − | 41.5042i | −0.431837 | − | 1.56983i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −10.7090 | −0.404475 | −0.202237 | − | 0.979337i | \(-0.564821\pi\) | ||||
−0.202237 | + | 0.979337i | \(0.564821\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −9.67718 | −0.364982 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −6.94655 | + | 7.03950i | −0.261622 | + | 0.265123i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 3.67400 | + | 20.8363i | 0.138175 | + | 0.783630i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −39.4897 | − | 33.1358i | −1.48307 | − | 1.24444i | −0.902835 | − | 0.429987i | \(-0.858518\pi\) |
−0.580230 | − | 0.814453i | \(-0.697037\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 46.4606 | + | 7.55700i | 1.74241 | + | 0.283410i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.47365 | − | 19.7000i | 0.130089 | − | 0.737772i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.81180 | + | 2.47929i | 0.254747 | + | 0.0927203i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −23.2852 | + | 11.0470i | −0.869602 | + | 0.412560i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 7.78782 | + | 13.4889i | 0.290437 | + | 0.503051i | 0.973913 | − | 0.226922i | \(-0.0728661\pi\) |
−0.683476 | + | 0.729973i | \(0.739533\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.35069 | + | 10.9997i | −0.236512 | + | 0.409651i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.79628 | + | 0.545945i | −0.215566 | + | 0.0203039i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.253860 | − | 0.213014i | 0.00942812 | − | 0.00791113i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.61987 | + | 3.50135i | −0.356781 | + | 0.129858i | −0.514191 | − | 0.857676i | \(-0.671908\pi\) |
0.157410 | + | 0.987533i | \(0.449686\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.07627 | + | 26.9785i | 0.0398620 | + | 0.999205i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −9.26510 | + | 3.37222i | −0.342682 | + | 0.124726i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 28.4760 | − | 23.8942i | 1.05179 | − | 0.882553i | 0.0585052 | − | 0.998287i | \(-0.481367\pi\) |
0.993280 | + | 0.115734i | \(0.0369221\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 6.82371 | − | 0.642718i | 0.251697 | − | 0.0237070i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0.190002 | − | 0.329093i | 0.00699881 | − | 0.0121223i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.39183 | − | 7.60687i | −0.161556 | − | 0.279823i | 0.773871 | − | 0.633343i | \(-0.218318\pi\) |
−0.935427 | + | 0.353520i | \(0.884985\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 5.63957 | − | 2.67554i | 0.207175 | − | 0.0982885i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −11.7938 | − | 4.29260i | −0.432673 | − | 0.157480i | 0.116496 | − | 0.993191i | \(-0.462834\pi\) |
−0.549170 | + | 0.835711i | \(0.685056\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.425861 | − | 2.41518i | 0.0156023 | − | 0.0884853i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −3.40002 | − | 0.553028i | −0.124400 | − | 0.0202342i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −10.8433 | − | 9.09858i | −0.396204 | − | 0.332455i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.723810 | + | 4.10493i | 0.0264122 | + | 0.149791i | 0.995162 | − | 0.0982497i | \(-0.0313244\pi\) |
−0.968750 | + | 0.248041i | \(0.920213\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −12.0045 | + | 12.1651i | −0.437467 | + | 0.443321i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 19.0230 | 0.692316 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −22.7574 | −0.827131 | −0.413566 | − | 0.910474i | \(-0.635717\pi\) | ||||
−0.413566 | + | 0.910474i | \(0.635717\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −8.78732 | − | 31.9441i | −0.318959 | − | 1.15950i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −0.391625 | − | 2.22102i | −0.0141964 | − | 0.0805118i | 0.976886 | − | 0.213759i | \(-0.0685707\pi\) |
−0.991083 | + | 0.133247i | \(0.957460\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −21.6777 | − | 18.1897i | −0.784785 | − | 0.658513i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.55942 | + | 0.676517i | −0.128691 | + | 0.0244595i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.61468 | + | 9.15731i | −0.0583027 | + | 0.330651i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.2524 | + | 6.64334i | 0.658200 | + | 0.239565i | 0.649459 | − | 0.760397i | \(-0.274995\pi\) |
0.00874088 | + | 0.999962i | \(0.497218\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.89610 | − | 3.38002i | −0.176329 | − | 0.121729i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.866208 | + | 1.50032i | 0.0311553 | + | 0.0539626i | 0.881183 | − | 0.472776i | \(-0.156748\pi\) |
−0.850027 | + | 0.526739i | \(0.823415\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 11.1347 | − | 19.2859i | 0.399972 | − | 0.692771i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −4.91319 | + | 10.7218i | −0.176260 | + | 0.384643i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −14.5701 | + | 12.2257i | −0.522027 | + | 0.438033i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −35.8885 | + | 13.0623i | −1.28419 | + | 0.467407i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.378040 | − | 0.167191i | −0.0135100 | − | 0.00597491i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.63027 | − | 2.41322i | 0.236644 | − | 0.0861315i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.34653 | − | 6.16447i | 0.261875 | − | 0.219740i | −0.502390 | − | 0.864641i | \(-0.667546\pi\) |
0.764266 | + | 0.644901i | \(0.223102\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −16.3280 | − | 22.9920i | −0.581291 | − | 0.818539i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1.79290 | − | 3.10539i | 0.0637481 | − | 0.110415i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.71215 | − | 2.96553i | −0.0608003 | − | 0.105309i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −1.31506 | + | 16.2763i | −0.0466405 | + | 0.577261i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −49.4162 | − | 17.9860i | −1.75041 | − | 0.637097i | −0.750688 | − | 0.660656i | \(-0.770278\pi\) |
−0.999722 | + | 0.0235589i | \(0.992500\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.43538 | − | 8.14043i | 0.0507800 | − | 0.287988i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −46.8704 | + | 27.8977i | −1.65609 | + | 0.985718i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −30.0283 | − | 25.1967i | −1.05968 | − | 0.889173i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.969341 | + | 5.49740i | 0.0341648 | + | 0.193758i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 28.3146 | + | 7.38556i | 0.996721 | + | 0.259984i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 10.1781 | 0.357842 | 0.178921 | − | 0.983863i | \(-0.442739\pi\) | ||||
0.178921 | + | 0.983863i | \(0.442739\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −49.5069 | −1.73842 | −0.869211 | − | 0.494441i | \(-0.835373\pi\) | ||||
−0.869211 | + | 0.494441i | \(0.835373\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 4.19583 | + | 1.09444i | 0.147154 | + | 0.0383836i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −0.663639 | − | 3.76368i | −0.0232463 | − | 0.131836i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 13.2591 | + | 11.1257i | 0.463875 | + | 0.389238i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.101106 | − | 7.60676i | −0.00353293 | − | 0.265802i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −8.44421 | + | 47.8895i | −0.294705 | + | 1.67136i | 0.373694 | + | 0.927552i | \(0.378091\pi\) |
−0.668399 | + | 0.743803i | \(0.733020\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.9283 | − | 7.61729i | −0.729516 | − | 0.265522i | −0.0495559 | − | 0.998771i | \(-0.515781\pi\) |
−0.679960 | + | 0.733249i | \(0.738003\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.97031 | − | 36.7630i | 0.103413 | − | 1.27992i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −6.93673 | − | 12.0148i | −0.241214 | − | 0.417795i | 0.719847 | − | 0.694133i | \(-0.244212\pi\) |
−0.961060 | + | 0.276339i | \(0.910879\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.222661 | − | 0.385659i | 0.00773332 | − | 0.0133945i | −0.862133 | − | 0.506682i | \(-0.830872\pi\) |
0.869866 | + | 0.493288i | \(0.164205\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −21.7840 | − | 30.6749i | −0.755678 | − | 1.06410i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −4.38833 | + | 3.68225i | −0.152047 | + | 0.127582i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 9.25915 | − | 3.37005i | 0.320426 | − | 0.116626i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −27.7149 | − | 1.86888i | −0.957968 | − | 0.0645978i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 14.3991 | − | 5.24083i | 0.497111 | − | 0.180934i | −0.0812832 | − | 0.996691i | \(-0.525902\pi\) |
0.578394 | + | 0.815757i | \(0.303680\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −22.2104 | + | 18.6368i | −0.765877 | + | 0.642647i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 7.33792 | − | 16.0132i | 0.252731 | − | 0.551523i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −4.83606 | + | 8.37630i | −0.166366 | + | 0.288154i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 12.3558 | + | 21.4009i | 0.424551 | + | 0.735343i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −32.4436 | − | 22.3974i | −1.11346 | − | 0.768677i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 14.6597 | + | 5.33568i | 0.502526 | + | 0.182905i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.21377 | + | 18.2262i | −0.110037 | + | 0.624052i | 0.879051 | + | 0.476728i | \(0.158177\pi\) |
−0.989088 | + | 0.147324i | \(0.952934\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.15273 | + | 4.81752i | 0.142020 | + | 0.164756i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 28.1960 | + | 23.6592i | 0.963156 | + | 0.808184i | 0.981464 | − | 0.191648i | \(-0.0613834\pi\) |
−0.0183076 | + | 0.999832i | \(0.505828\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.38976 | + | 19.2243i | 0.115657 | + | 0.655924i | 0.986423 | + | 0.164226i | \(0.0525126\pi\) |
−0.870766 | + | 0.491698i | \(0.836376\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 6.14815 | + | 22.3500i | 0.209528 | + | 0.761687i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −44.0808 | −1.50053 | −0.750263 | − | 0.661139i | \(-0.770073\pi\) | ||||
−0.750263 | + | 0.661139i | \(0.770073\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −13.1690 | −0.447759 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −18.5548 | + | 18.8031i | −0.630155 | + | 0.638586i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 13.9275 | + | 78.9870i | 0.472459 | + | 2.67945i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.0884155 | − | 0.0741894i | −0.00299585 | − | 0.00251381i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 19.1462 | − | 23.4434i | 0.648001 | − | 0.793439i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −2.37435 | + | 13.4656i | −0.0802678 | + | 0.455221i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −23.5133 | − | 8.55813i | −0.793987 | − | 0.288987i | −0.0869944 | − | 0.996209i | \(-0.527726\pi\) |
−0.706992 | + | 0.707221i | \(0.749948\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −53.0048 | + | 25.1467i | −1.78781 | + | 0.848177i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −22.3706 | − | 38.7470i | −0.753684 | − | 1.30542i | −0.946026 | − | 0.324090i | \(-0.894942\pi\) |
0.192343 | − | 0.981328i | \(-0.438392\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.1927 | + | 33.2427i | −0.645885 | + | 1.11871i | 0.338211 | + | 0.941070i | \(0.390178\pi\) |
−0.984096 | + | 0.177636i | \(0.943155\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −9.43300 | + | 0.888484i | −0.317087 | + | 0.0298661i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 6.35934 | − | 5.33612i | 0.213526 | − | 0.179169i | −0.529751 | − | 0.848153i | \(-0.677715\pi\) |
0.743277 | + | 0.668984i | \(0.233270\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −30.7792 | + | 11.2027i | −1.03230 | + | 0.375727i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −42.7979 | + | 16.8784i | −1.43378 | + | 0.565448i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −13.6357 | + | 4.96298i | −0.456300 | + | 0.166080i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 7.47217 | − | 6.26989i | 0.249767 | − | 0.209579i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −10.0184 | + | 0.943624i | −0.334505 | + | 0.0315067i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.212635 | − | 0.368294i | 0.00709176 | − | 0.0122833i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.82409 | − | 11.8197i | −0.227344 | − | 0.393771i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 19.0584 | − | 9.04176i | 0.634224 | − | 0.300891i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 19.7196 | + | 7.17734i | 0.655501 | + | 0.238583i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −5.55783 | + | 31.5200i | −0.184545 | + | 1.04661i | 0.741994 | + | 0.670407i | \(0.233880\pi\) |
−0.926539 | + | 0.376199i | \(0.877231\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −13.7760 | − | 36.3390i | −0.456920 | − | 1.20529i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 38.8843 | + | 32.6278i | 1.28829 | + | 1.08101i | 0.992043 | + | 0.125896i | \(0.0401805\pi\) |
0.296250 | + | 0.955111i | \(0.404264\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.01923 | − | 5.78033i | −0.0337315 | − | 0.191301i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 2.45077 | − | 2.48357i | 0.0810201 | − | 0.0821041i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 21.1382 | 0.698044 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 22.2511 | 0.733995 | 0.366998 | − | 0.930222i | \(-0.380386\pi\) | ||||
0.366998 | + | 0.930222i | \(0.380386\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.20820 | − | 11.6626i | −0.105714 | − | 0.384296i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.01431 | + | 11.4237i | 0.0663018 | + | 0.376016i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 13.3041 | + | 11.1635i | 0.437437 | + | 0.367053i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 7.68723 | − | 22.0270i | 0.252482 | − | 0.723463i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 3.10163 | − | 17.5902i | 0.101761 | − | 0.577116i | −0.890703 | − | 0.454585i | \(-0.849788\pi\) |
0.992465 | − | 0.122532i | \(-0.0391013\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.44986 | + | 3.43947i | 0.309707 | + | 0.112724i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 12.8162 | + | 8.84765i | 0.419583 | + | 0.289659i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −3.08677 | − | 5.34644i | −0.100948 | − | 0.174847i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.68749 | − | 11.5831i | 0.218471 | − | 0.378402i | −0.735870 | − | 0.677123i | \(-0.763227\pi\) |
0.954341 | + | 0.298721i | \(0.0965598\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −17.0898 | + | 37.2943i | −0.557706 | + | 1.21705i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.69590 | − | 5.61853i | 0.218280 | − | 0.183159i | −0.527090 | − | 0.849809i | \(-0.676717\pi\) |
0.745371 | + | 0.666650i | \(0.232273\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 28.8126 | − | 10.4869i | 0.938268 | − | 0.341502i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 7.44595 | − | 2.15511i | 0.242217 | − | 0.0701059i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −19.9691 | + | 7.26815i | −0.648908 | + | 0.236183i | −0.645440 | − | 0.763811i | \(-0.723326\pi\) |
−0.00346769 | + | 0.999994i | \(0.501104\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −9.12047 | + | 7.65299i | −0.296063 | + | 0.248426i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 17.0329 | + | 23.9847i | 0.552329 | + | 0.777756i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.80567 | − | 6.59162i | 0.123278 | − | 0.213523i | −0.797781 | − | 0.602948i | \(-0.793993\pi\) |
0.921058 | + | 0.389424i | \(0.127326\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.21982 | − | 3.84485i | −0.0718318 | − | 0.124416i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.0567226 | − | 0.702045i | 0.00183358 | − | 0.0226939i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 20.9676 | + | 7.63157i | 0.677078 | + | 0.246436i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.420554 | + | 2.38508i | −0.0135663 | + | 0.0769381i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 22.6872 | + | 12.6994i | 0.731084 | + | 0.409234i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 13.7671 | + | 11.5519i | 0.443178 | + | 0.371870i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.95220 | − | 16.7428i | −0.0949364 | − | 0.538411i | −0.994767 | − | 0.102171i | \(-0.967421\pi\) |
0.899830 | − | 0.436240i | \(-0.143690\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −5.14390 | − | 1.34173i | −0.165246 | − | 0.0431026i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −33.0729 | −1.06136 | −0.530679 | − | 0.847573i | \(-0.678063\pi\) | ||||
−0.530679 | + | 0.847573i | \(0.678063\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −10.5006 | −0.336632 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −10.8397 | − | 2.82742i | −0.347149 | − | 0.0905500i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −8.76021 | − | 49.6816i | −0.280264 | − | 1.58946i | −0.721728 | − | 0.692177i | \(-0.756652\pi\) |
0.441464 | − | 0.897279i | \(-0.354459\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −71.1960 | − | 59.7405i | −2.27543 | − | 1.90932i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 45.3559 | + | 25.3885i | 1.44810 | + | 0.810594i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.02177 | − | 11.4660i | 0.0644843 | − | 0.365709i | −0.935441 | − | 0.353483i | \(-0.884997\pi\) |
0.999925 | − | 0.0122258i | \(-0.00389168\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 15.2154 | + | 5.53794i | 0.484802 | + | 0.176454i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.42422 | + | 17.6274i | −0.0453336 | + | 0.561086i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −13.9514 | − | 24.1645i | −0.443629 | − | 0.768387i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 16.9339 | − | 29.3304i | 0.537923 | − | 0.931710i | −0.461093 | − | 0.887352i | \(-0.652542\pi\) |
0.999016 | − | 0.0443581i | \(-0.0141242\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 20.6364 | + | 29.0590i | 0.654878 | + | 0.922158i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −3.89734 | + | 3.27026i | −0.123554 | + | 0.103674i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −20.9654 | + | 7.63077i | −0.663980 | + | 0.241669i | −0.651954 | − | 0.758259i | \(-0.726050\pi\) |
−0.0120262 | + | 0.999928i | \(0.503828\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 5.18858 | − | 21.0326i | 0.164159 | − | 0.665441i |
(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 | 864.2.y.b.385.2 | yes | 54 | |
4.3 | odd | 2 | 864.2.y.c.385.8 | yes | 54 | ||
27.4 | even | 9 | inner | 864.2.y.b.193.2 | ✓ | 54 | |
108.31 | odd | 18 | 864.2.y.c.193.8 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.b.193.2 | ✓ | 54 | 27.4 | even | 9 | inner | |
864.2.y.b.385.2 | yes | 54 | 1.1 | even | 1 | trivial | |
864.2.y.c.193.8 | yes | 54 | 108.31 | odd | 18 | ||
864.2.y.c.385.8 | yes | 54 | 4.3 | odd | 2 |