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 | 193.2 | ||
Character | \(\chi\) | \(=\) | 864.193 |
Dual form | 864.2.y.b.385.2 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
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 | 0.928584 | + | 0.371122i | \(0.121027\pi\) |
−0.999515 | + | 0.0311456i | \(0.990084\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.25116 | + | 1.04985i | −0.472894 | + | 0.396805i | −0.847849 | − | 0.530238i | \(-0.822103\pi\) |
0.374955 | + | 0.927043i | \(0.377658\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.61778 | − | 1.46534i | 0.872594 | − | 0.488446i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.887648 | − | 5.03410i | −0.267636 | − | 1.51784i | −0.761423 | − | 0.648256i | \(-0.775499\pi\) |
0.493787 | − | 0.869583i | \(-0.335612\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.45896 | − | 0.531018i | 0.404643 | − | 0.147278i | −0.131677 | − | 0.991293i | \(-0.542036\pi\) |
0.536320 | + | 0.844015i | \(0.319814\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.127405 | − | 1.57687i | −0.0328958 | − | 0.407146i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.661128 | + | 1.14511i | −0.160347 | + | 0.277729i | −0.934993 | − | 0.354666i | \(-0.884595\pi\) |
0.774646 | + | 0.632395i | \(0.217928\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.16059 | − | 2.01020i | −0.266258 | − | 0.461173i | 0.701634 | − | 0.712537i | \(-0.252454\pi\) |
−0.967892 | + | 0.251365i | \(0.919121\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.63796 | − | 2.30648i | 0.357433 | − | 0.503315i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.86651 | + | 2.40528i | 0.597708 | + | 0.501536i | 0.890708 | − | 0.454576i | \(-0.150209\pi\) |
−0.293000 | + | 0.956112i | \(0.594654\pi\) | |||||||
\(24\) | 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 | 0.348952 | − | 0.937141i | \(-0.386538\pi\) |
−0.335070 | + | 0.942193i | \(0.608760\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.09516 | + | 3.43625i | 0.735512 | + | 0.617168i | 0.931628 | − | 0.363413i | \(-0.118388\pi\) |
−0.196116 | + | 0.980581i | \(0.562833\pi\) | |||||||
\(32\) | 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 | −0.642237 | − | 0.766506i | \(-0.721993\pi\) |
0.984932 | + | 0.172940i | \(0.0553268\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.21304 | + | 1.52777i | −0.354370 | + | 0.244639i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.69988 | − | 2.80253i | 1.20252 | − | 0.437681i | 0.338417 | − | 0.940996i | \(-0.390109\pi\) |
0.864103 | + | 0.503315i | \(0.167887\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.29485 | + | 7.34345i | 0.197463 | + | 1.11987i | 0.908868 | + | 0.417084i | \(0.136948\pi\) |
−0.711405 | + | 0.702782i | \(0.751941\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.902872 | + | 2.58710i | 0.134592 | + | 0.385662i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.78889 | − | 4.01836i | 0.698531 | − | 0.586137i | −0.222824 | − | 0.974859i | \(-0.571528\pi\) |
0.921355 | + | 0.388721i | \(0.127083\pi\) | |||||||
\(48\) | 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 | −0.839189 | − | 0.543840i | \(-0.816970\pi\) |
0.974584 | − | 0.224023i | \(-0.0719192\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.68954 | + | 1.41769i | −0.216324 | + | 0.181517i | −0.744510 | − | 0.667612i | \(-0.767317\pi\) |
0.528186 | + | 0.849129i | \(0.322872\pi\) | |||||||
\(62\) | 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 | −0.346284 | − | 0.938130i | \(-0.612557\pi\) |
0.337749 | + | 0.941236i | \(0.390334\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.85568 | − | 2.77807i | −0.704942 | − | 0.334441i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.73567 | − | 6.47037i | 0.443343 | − | 0.767892i | −0.554592 | − | 0.832122i | \(-0.687126\pi\) |
0.997935 | + | 0.0642300i | \(0.0204591\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.83421 | − | 6.64105i | −0.448760 | − | 0.777276i | 0.549545 | − | 0.835464i | \(-0.314801\pi\) |
−0.998306 | + | 0.0581881i | \(0.981468\pi\) | |||||||
\(74\) | 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 | 0.990180 | − | 0.139795i | \(-0.0446443\pi\) |
0.668664 | + | 0.743565i | \(0.266867\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.70557 | − | 7.67187i | 0.522841 | − | 0.852430i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.07899 | − | 0.392719i | −0.118434 | − | 0.0431066i | 0.282123 | − | 0.959378i | \(-0.408961\pi\) |
−0.400558 | + | 0.916272i | \(0.631184\pi\) | |||||||
\(84\) | 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 | −0.713276 | − | 0.700883i | \(-0.752789\pi\) |
−0.250344 | − | 0.968157i | \(-0.580544\pi\) | |||||||
\(90\) | 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 | 0.934755 | + | 0.355293i | \(0.115619\pi\) |
−0.756865 | + | 0.653571i | \(0.773270\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −9.70033 | − | 11.8775i | −0.974920 | − | 1.19373i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −9.92348 | + | 8.32679i | −0.987424 | + | 0.828547i | −0.985193 | − | 0.171451i | \(-0.945155\pi\) |
−0.00223089 | + | 0.999998i | \(0.500710\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.35040 | + | 7.65849i | −0.133059 | + | 0.754613i | 0.843133 | + | 0.537705i | \(0.180708\pi\) |
−0.976192 | + | 0.216909i | \(0.930403\pi\) | |||||||
\(104\) | 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 | −0.961611 | − | 0.274417i | \(-0.911515\pi\) |
0.997475 | + | 0.0710227i | \(0.0226263\pi\) | |||||||
\(114\) | 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 | 0.840139 | + | 0.542372i | \(0.182473\pi\) |
0.0496382 | + | 0.998767i | \(0.484193\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.38040 | − | 11.7414i | −0.473718 | − | 1.03377i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −9.91431 | − | 8.31909i | −0.866217 | − | 0.726843i | 0.0970808 | − | 0.995277i | \(-0.469049\pi\) |
−0.963298 | + | 0.268434i | \(0.913494\pi\) | |||||||
\(132\) | 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 | −0.270666 | − | 0.962673i | \(-0.587244\pi\) |
−0.826137 | + | 0.563470i | \(0.809466\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.92501 | + | 4.13257i | 0.417734 | + | 0.350520i | 0.827300 | − | 0.561760i | \(-0.189876\pi\) |
−0.409566 | + | 0.912280i | \(0.634320\pi\) | |||||||
\(140\) | 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 | −0.236595 | − | 0.971608i | \(-0.576031\pi\) |
0.443296 | + | 0.896375i | \(0.353809\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.61660 | − | 20.5107i | −0.294314 | − | 1.66914i | −0.669975 | − | 0.742383i | \(-0.733695\pi\) |
0.375661 | − | 0.926757i | \(-0.377416\pi\) | |||||||
\(152\) | 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 | −0.883321 | − | 0.468769i | \(-0.844698\pi\) |
0.990379 | − | 0.138385i | \(-0.0441911\pi\) | |||||||
\(158\) | 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 | −0.822439 | − | 0.568854i | \(-0.807387\pi\) |
0.967399 | − | 0.253257i | \(-0.0815018\pi\) | |||||||
\(168\) | 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 | 0.918888 | + | 0.394519i | \(0.129089\pi\) |
−0.728538 | + | 0.685005i | \(0.759800\pi\) | |||||||
\(174\) | 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 | −0.594510 | − | 0.804088i | \(-0.702654\pi\) |
0.993616 | + | 0.112817i | \(0.0359873\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.4877 | − | 19.8973i | −0.853876 | − | 1.47896i | −0.877684 | − | 0.479239i | \(-0.840913\pi\) |
0.0238086 | − | 0.999717i | \(-0.492421\pi\) | |||||||
\(182\) | 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 | 0.501939 | − | 0.864903i | \(-0.332620\pi\) |
−0.171441 | + | 0.985194i | \(0.554842\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.0728 | − | 12.6476i | −1.08496 | − | 0.910392i | −0.0886394 | − | 0.996064i | \(-0.528252\pi\) |
−0.996323 | + | 0.0856719i | \(0.972696\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.02322 | − | 2.23294i | −0.0732747 | − | 0.159904i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −8.86378 | − | 15.3525i | −0.631518 | − | 1.09382i | −0.987242 | − | 0.159230i | \(-0.949099\pi\) |
0.355724 | − | 0.934591i | \(-0.384234\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.78507 | + | 4.82388i | −0.197428 | + | 0.341956i | −0.947694 | − | 0.319181i | \(-0.896592\pi\) |
0.750266 | + | 0.661137i | \(0.229926\pi\) | |||||||
\(200\) | 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 | −0.943605 | − | 0.331074i | \(-0.892589\pi\) |
0.999932 | + | 0.0116239i | \(0.00370009\pi\) | |||||||
\(212\) | 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 | −0.901780 | − | 0.432196i | \(-0.857739\pi\) |
0.269038 | + | 0.963130i | \(0.413294\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 12.3351 | − | 2.00636i | 0.822343 | − | 0.133757i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.621004 | + | 3.52189i | 0.0412175 | + | 0.233756i | 0.998456 | − | 0.0555429i | \(-0.0176890\pi\) |
−0.957239 | + | 0.289299i | \(0.906578\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −19.6799 | + | 7.16289i | −1.30048 | + | 0.473337i | −0.897154 | − | 0.441718i | \(-0.854369\pi\) |
−0.403329 | + | 0.915055i | \(0.632147\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −13.0650 | − | 6.19833i | −0.859612 | − | 0.407820i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 12.4263 | − | 21.5230i | 0.814074 | − | 1.41002i | −0.0959174 | − | 0.995389i | \(-0.530578\pi\) |
0.909991 | − | 0.414628i | \(-0.136088\pi\) | |||||||
\(234\) | 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 | 0.932117 | − | 0.362158i | \(-0.117960\pi\) |
−0.194796 | + | 0.980844i | \(0.562405\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.15858 | + | 1.14963i | 0.203462 | + | 0.0740542i | 0.441741 | − | 0.897143i | \(-0.354361\pi\) |
−0.238279 | + | 0.971197i | \(0.576583\pi\) | |||||||
\(242\) | 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 | 0.978668 | − | 0.205446i | \(-0.0658646\pi\) |
−0.667256 | + | 0.744828i | \(0.732531\pi\) | |||||||
\(252\) | 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 | −0.239380 | − | 0.970926i | \(-0.576944\pi\) |
0.440724 | + | 0.897643i | \(0.354722\pi\) | |||||||
\(258\) | 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 | −0.171403 | − | 0.985201i | \(-0.554830\pi\) |
0.940470 | + | 0.339878i | \(0.110386\pi\) | |||||||
\(264\) | 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 | 0.0128303 | − | 0.999918i | \(-0.495916\pi\) |
0.986955 | + | 0.160998i | \(0.0514714\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 15.7555 | + | 2.99455i | 0.943257 | + | 0.179279i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.76595 | − | 10.0152i | −0.105348 | − | 0.597456i | −0.991081 | − | 0.133261i | \(-0.957455\pi\) |
0.885733 | − | 0.464194i | \(-0.153656\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 21.3886 | − | 7.78482i | 1.27142 | − | 0.462760i | 0.383836 | − | 0.923401i | \(-0.374603\pi\) |
0.887586 | + | 0.460642i | \(0.152381\pi\) | |||||||
\(284\) | 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 | 0.851265 | + | 0.524737i | \(0.175836\pi\) |
0.664585 | + | 0.747213i | \(0.268608\pi\) | |||||||
\(294\) | 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 | −0.749011 | − | 0.662557i | \(-0.769471\pi\) |
0.948297 | + | 0.317384i | \(0.102805\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.08475 | − | 13.4258i | −0.0617093 | − | 0.763766i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.44915 | + | 3.07524i | −0.479107 | + | 0.174381i | −0.570273 | − | 0.821455i | \(-0.693163\pi\) |
0.0911662 | + | 0.995836i | \(0.470941\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.11285 | + | 23.3251i | 0.232472 | + | 1.31841i | 0.847873 | + | 0.530199i | \(0.177883\pi\) |
−0.615401 | + | 0.788214i | \(0.711006\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.84570 | − | 2.28900i | −0.216681 | − | 0.128970i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −13.0106 | + | 10.9172i | −0.730749 | + | 0.613171i | −0.930336 | − | 0.366709i | \(-0.880484\pi\) |
0.199587 | + | 0.979880i | \(0.436040\pi\) | |||||||
\(318\) | 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 | −0.963342 | − | 0.268277i | \(-0.913546\pi\) |
0.0969185 | + | 0.995292i | \(0.469101\pi\) | |||||||
\(332\) | 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 | −0.597944 | − | 0.801538i | \(-0.704016\pi\) |
0.0571669 | + | 0.998365i | \(0.481793\pi\) | |||||||
\(338\) | 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 | 0.935056 | − | 0.354500i | \(-0.115349\pi\) |
−0.186744 | + | 0.982409i | \(0.559793\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 32.8524 | + | 11.9573i | 1.75855 | + | 0.640060i | 0.999934 | − | 0.0114776i | \(-0.00365353\pi\) |
0.758616 | + | 0.651538i | \(0.225876\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.55456 | + | 7.24222i | −0.189728 | + | 0.386561i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 3.45455 | + | 1.25735i | 0.183867 | + | 0.0669222i | 0.432313 | − | 0.901724i | \(-0.357698\pi\) |
−0.248446 | + | 0.968646i | \(0.579920\pi\) | |||||||
\(354\) | 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 | −0.998826 | − | 0.0484479i | \(-0.984573\pi\) |
0.457456 | − | 0.889232i | \(-0.348761\pi\) | |||||||
\(360\) | 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 | −0.631725 | − | 0.775193i | \(-0.717653\pi\) |
0.328496 | − | 0.944505i | \(-0.393458\pi\) | |||||||
\(368\) | 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 | 0.862129 | + | 0.506688i | \(0.169130\pi\) |
−0.983434 | + | 0.181266i | \(0.941981\pi\) | |||||||
\(374\) | 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 | 0.368115 | + | 0.929780i | \(0.380003\pi\) |
−0.663918 | + | 0.747805i | \(0.731108\pi\) | |||||||
\(384\) | 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 | 0.849402 | + | 0.527746i | \(0.176963\pi\) |
−0.617677 | + | 0.786432i | \(0.711926\pi\) | |||||||
\(390\) | 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 | 0.691740 | − | 0.722146i | \(-0.256844\pi\) |
−0.971267 | + | 0.237992i | \(0.923511\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −6.53750 | − | 0.615760i | −0.327284 | − | 0.0308266i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.96288 | − | 5.00345i | −0.297772 | − | 0.249860i | 0.481644 | − | 0.876367i | \(-0.340040\pi\) |
−0.779416 | + | 0.626506i | \(0.784484\pi\) | |||||||
\(402\) | 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 | 0.680029 | − | 0.733186i | \(-0.261967\pi\) |
−0.603961 | + | 0.797014i | \(0.706412\pi\) | |||||||
\(410\) | 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 | −0.304106 | − | 0.952638i | \(-0.598358\pi\) |
0.379385 | + | 0.925239i | \(0.376136\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.80867 | + | 15.9288i | 0.136886 | + | 0.776321i | 0.973528 | + | 0.228570i | \(0.0734049\pi\) |
−0.836641 | + | 0.547751i | \(0.815484\pi\) | |||||||
\(422\) | 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 | −0.866736 | − | 0.498768i | \(-0.833786\pi\) |
0.340683 | + | 0.940178i | \(0.389342\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.28260 | + | 12.2714i | 0.203934 | + | 0.584353i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 1.80438 | + | 10.2331i | 0.0857285 | + | 0.486191i | 0.997197 | + | 0.0748208i | \(0.0238385\pi\) |
−0.911468 | + | 0.411370i | \(0.865050\pi\) | |||||||
\(444\) | 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 | −0.455695 | − | 0.890136i | \(-0.650609\pi\) |
0.998728 | − | 0.0504241i | \(-0.0160573\pi\) | |||||||
\(450\) | 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 | 0.308478 | − | 0.951231i | \(-0.400180\pi\) |
−0.375132 | + | 0.926971i | \(0.622403\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.64560 | − | 6.67066i | −0.0768100 | − | 0.311360i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 7.20103 | + | 2.62096i | 0.335385 | + | 0.122070i | 0.504223 | − | 0.863574i | \(-0.331779\pi\) |
−0.168837 | + | 0.985644i | \(0.554001\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −25.2827 | − | 21.2147i | −1.17499 | − | 0.985931i | −0.999999 | − | 0.00136057i | \(-0.999567\pi\) |
−0.174988 | − | 0.984571i | \(-0.555989\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 4.89677 | − | 6.89533i | 0.227082 | − | 0.319763i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 15.9624 | + | 27.6477i | 0.738653 | + | 1.27938i | 0.953102 | + | 0.302649i | \(0.0978710\pi\) |
−0.214449 | + | 0.976735i | \(0.568796\pi\) | |||||||
\(468\) | 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 | −0.422500 | − | 0.906363i | \(-0.638848\pi\) |
0.819227 | + | 0.573470i | \(0.194403\pi\) | |||||||
\(480\) | 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 | 0.881324 | + | 0.472512i | \(0.156653\pi\) |
−0.989782 | + | 0.142586i | \(0.954458\pi\) | |||||||
\(492\) | 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 | −0.177500 | − | 0.984121i | \(-0.556801\pi\) |
0.496607 | + | 0.867975i | \(0.334579\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.50479 | + | 18.6245i | 0.0672290 | + | 0.832082i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −8.50373 | + | 14.7289i | −0.379162 | + | 0.656728i | −0.990941 | − | 0.134301i | \(-0.957121\pi\) |
0.611778 | + | 0.791029i | \(0.290454\pi\) | |||||||
\(504\) | 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 | 0.957614 | − | 0.288053i | \(-0.0930080\pi\) |
−0.117389 | + | 0.993086i | \(0.537452\pi\) | |||||||
\(510\) | 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 | 0.737829 | − | 0.674988i | \(-0.235851\pi\) |
−0.953471 | + | 0.301484i | \(0.902518\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.49604 | − | 9.51943i | 0.240325 | − | 0.416256i | −0.720482 | − | 0.693474i | \(-0.756079\pi\) |
0.960807 | + | 0.277218i | \(0.0894126\pi\) | |||||||
\(524\) | 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 | −0.998358 | − | 0.0572808i | \(-0.981757\pi\) |
−0.116952 | + | 0.993138i | \(0.537313\pi\) | |||||||
\(548\) | 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 | −0.706926 | − | 0.707288i | \(-0.749919\pi\) |
0.965992 | + | 0.258572i | \(0.0832519\pi\) | |||||||
\(558\) | 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 | 0.160446 | − | 0.987045i | \(-0.448707\pi\) |
−0.944188 | + | 0.329407i | \(0.893151\pi\) | |||||||
\(564\) | 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 | 0.0888763 | − | 0.996043i | \(-0.471672\pi\) |
−0.572161 | + | 0.820142i | \(0.693895\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.91500 | − | 7.48058i | −0.373081 | − | 0.313052i | 0.436898 | − | 0.899511i | \(-0.356077\pi\) |
−0.809979 | + | 0.586459i | \(0.800522\pi\) | |||||||
\(572\) | 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 | −0.175467 | − | 0.984485i | \(-0.556144\pi\) |
0.940323 | − | 0.340283i | \(-0.110523\pi\) | |||||||
\(578\) | 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 | −0.328249 | + | 0.944591i | \(0.606458\pi\) |
−0.987241 | + | 0.159236i | \(0.949097\pi\) | |||||||
\(588\) | 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 | 0.567899 | + | 0.823098i | \(0.307756\pi\) |
−0.815167 | + | 0.579227i | \(0.803355\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.05833 | − | 3.40534i | 0.165543 | − | 0.138907i | −0.556253 | − | 0.831013i | \(-0.687761\pi\) |
0.721796 | + | 0.692106i | \(0.243317\pi\) | |||||||
\(602\) | 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 | −0.999319 | − | 0.0368918i | \(-0.988254\pi\) |
−0.741809 | + | 0.670611i | \(0.766032\pi\) | |||||||
\(608\) | 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 | 0.995500 | + | 0.0947573i | \(0.0302075\pi\) |
−0.415688 | + | 0.909507i | \(0.636459\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −5.40023 | − | 11.7847i | −0.217758 | − | 0.475203i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −8.30054 | − | 6.96498i | −0.334167 | − | 0.280399i | 0.460228 | − | 0.887801i | \(-0.347768\pi\) |
−0.794395 | + | 0.607401i | \(0.792212\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 45.1107 | + | 16.4189i | 1.81315 | + | 0.659933i | 0.996575 | + | 0.0826968i | \(0.0263533\pi\) |
0.816577 | + | 0.577236i | \(0.195869\pi\) | |||||||
\(620\) | 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 | −0.902612 | − | 0.430455i | \(-0.858353\pi\) |
0.824091 | + | 0.566458i | \(0.191687\pi\) | |||||||
\(632\) | 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 | −0.224754 | + | 0.974416i | \(0.572158\pi\) |
−0.998640 | + | 0.0521339i | \(0.983398\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.48821 | − | 19.7826i | 0.137561 | − | 0.780150i | −0.835480 | − | 0.549520i | \(-0.814810\pi\) |
0.973042 | − | 0.230629i | \(-0.0740784\pi\) | |||||||
\(644\) | 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 | 0.935312 | + | 0.353823i | \(0.115119\pi\) |
−0.999921 | + | 0.0125893i | \(0.995993\pi\) | |||||||
\(654\) | 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 | 0.957039 | + | 0.289959i | \(0.0936416\pi\) |
−0.800151 | + | 0.599799i | \(0.795247\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.4498 | + | 6.71518i | −0.717614 | + | 0.261190i | −0.674912 | − | 0.737898i | \(-0.735819\pi\) |
−0.0427014 | + | 0.999088i | \(0.513596\pi\) | |||||||
\(662\) | 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 | 0.944060 | − | 0.329773i | \(-0.106972\pi\) |
0.511218 | + | 0.859451i | \(0.329194\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −19.7963 | + | 8.75504i | −0.761959 | + | 0.336982i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −22.7982 | − | 8.29787i | −0.876206 | − | 0.318913i | −0.135529 | − | 0.990773i | \(-0.543273\pi\) |
−0.740678 | + | 0.671860i | \(0.765495\pi\) | |||||||
\(678\) | 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 | 0.750971 | − | 0.660335i | \(-0.229586\pi\) |
−0.947353 | + | 0.320192i | \(0.896252\pi\) | |||||||
\(684\) | 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 | −0.604936 | − | 0.796274i | \(-0.706801\pi\) |
0.296112 | − | 0.955153i | \(-0.404310\pi\) | |||||||
\(692\) | 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 | −0.580230 | + | 0.814453i | \(0.697037\pi\) |
−0.902835 | + | 0.429987i | \(0.858518\pi\) | |||||||
\(710\) | 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 | −0.683476 | − | 0.729973i | \(-0.739533\pi\) |
0.973913 | + | 0.226922i | \(0.0728661\pi\) | |||||||
\(720\) | 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 | 0.157410 | − | 0.987533i | \(-0.449686\pi\) |
−0.514191 | + | 0.857676i | \(0.671908\pi\) | |||||||
\(728\) | 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 | 0.993280 | − | 0.115734i | \(-0.0369221\pi\) |
0.0585052 | + | 0.998287i | \(0.481367\pi\) | |||||||
\(734\) | 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 | −0.935427 | − | 0.353520i | \(-0.884985\pi\) |
0.773871 | + | 0.633343i | \(0.218318\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 5.63957 | + | 2.67554i | 0.207175 | + | 0.0982885i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −11.7938 | + | 4.29260i | −0.432673 | + | 0.157480i | −0.549170 | − | 0.835711i | \(-0.685056\pi\) |
0.116496 | + | 0.993191i | \(0.462834\pi\) | |||||||
\(744\) | 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 | −0.968750 | − | 0.248041i | \(-0.920213\pi\) |
0.995162 | + | 0.0982497i | \(0.0313244\pi\) | |||||||
\(752\) | 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 | −0.991083 | − | 0.133247i | \(-0.957460\pi\) |
0.976886 | + | 0.213759i | \(0.0685707\pi\) | |||||||
\(762\) | 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 | 0.00874088 | − | 0.999962i | \(-0.497218\pi\) |
0.649459 | + | 0.760397i | \(0.274995\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.89610 | + | 3.38002i | −0.176329 | + | 0.121729i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.866208 | − | 1.50032i | 0.0311553 | − | 0.0539626i | −0.850027 | − | 0.526739i | \(-0.823415\pi\) |
0.881183 | + | 0.472776i | \(0.156748\pi\) | |||||||
\(774\) | 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 | 0.764266 | − | 0.644901i | \(-0.223102\pi\) |
−0.502390 | + | 0.864641i | \(0.667546\pi\) | |||||||
\(788\) | 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 | −0.999722 | − | 0.0235589i | \(-0.992500\pi\) |
−0.750688 | + | 0.660656i | \(0.770278\pi\) | |||||||
\(798\) | 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 | −0.668399 | − | 0.743803i | \(-0.733020\pi\) |
0.373694 | − | 0.927552i | \(-0.378091\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.9283 | + | 7.61729i | −0.729516 | + | 0.265522i | −0.679960 | − | 0.733249i | \(-0.738003\pi\) |
−0.0495559 | + | 0.998771i | \(0.515781\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.97031 | + | 36.7630i | 0.103413 | + | 1.27992i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −6.93673 | + | 12.0148i | −0.241214 | + | 0.417795i | −0.961060 | − | 0.276339i | \(-0.910879\pi\) |
0.719847 | + | 0.694133i | \(0.244212\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.222661 | + | 0.385659i | 0.00773332 | + | 0.0133945i | 0.869866 | − | 0.493288i | \(-0.164205\pi\) |
−0.862133 | + | 0.506682i | \(0.830872\pi\) | |||||||
\(830\) | 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 | 0.578394 | − | 0.815757i | \(-0.303680\pi\) |
−0.0812832 | + | 0.996691i | \(0.525902\pi\) | |||||||
\(840\) | 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 | −0.989088 | − | 0.147324i | \(-0.952934\pi\) |
0.879051 | − | 0.476728i | \(-0.158177\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.15273 | − | 4.81752i | 0.142020 | − | 0.164756i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 28.1960 | − | 23.6592i | 0.963156 | − | 0.808184i | −0.0183076 | − | 0.999832i | \(-0.505828\pi\) |
0.981464 | + | 0.191648i | \(0.0613834\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.38976 | − | 19.2243i | 0.115657 | − | 0.655924i | −0.870766 | − | 0.491698i | \(-0.836376\pi\) |
0.986423 | − | 0.164226i | \(-0.0525126\pi\) | |||||||
\(860\) | 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 | −0.706992 | − | 0.707221i | \(-0.749948\pi\) |
−0.0869944 | + | 0.996209i | \(0.527726\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −53.0048 | − | 25.1467i | −1.78781 | − | 0.848177i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −22.3706 | + | 38.7470i | −0.753684 | + | 1.30542i | 0.192343 | + | 0.981328i | \(0.438392\pi\) |
−0.946026 | + | 0.324090i | \(0.894942\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.1927 | − | 33.2427i | −0.645885 | − | 1.11871i | −0.984096 | − | 0.177636i | \(-0.943155\pi\) |
0.338211 | − | 0.941070i | \(-0.390178\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −9.43300 | − | 0.888484i | −0.317087 | − | 0.0298661i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 6.35934 | + | 5.33612i | 0.213526 | + | 0.179169i | 0.743277 | − | 0.668984i | \(-0.233270\pi\) |
−0.529751 | + | 0.848153i | \(0.677715\pi\) | |||||||
\(888\) | 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 | −0.926539 | − | 0.376199i | \(-0.877231\pi\) |
0.741994 | − | 0.670407i | \(-0.233880\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −13.7760 | + | 36.3390i | −0.456920 | + | 1.20529i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 38.8843 | − | 32.6278i | 1.28829 | − | 1.08101i | 0.296250 | − | 0.955111i | \(-0.404264\pi\) |
0.992043 | − | 0.125896i | \(-0.0401805\pi\) | |||||||
\(912\) | 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 | 0.992465 | + | 0.122532i | \(0.0391013\pi\) |
−0.890703 | + | 0.454585i | \(0.849788\pi\) | |||||||
\(930\) | 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 | 0.954341 | − | 0.298721i | \(-0.0965598\pi\) |
−0.735870 | + | 0.677123i | \(0.763227\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −17.0898 | − | 37.2943i | −0.557706 | − | 1.21705i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.69590 | + | 5.61853i | 0.218280 | + | 0.183159i | 0.745371 | − | 0.666650i | \(-0.232273\pi\) |
−0.527090 | + | 0.849809i | \(0.676717\pi\) | |||||||
\(942\) | 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 | −0.00346769 | − | 0.999994i | \(-0.501104\pi\) |
−0.645440 | + | 0.763811i | \(0.723326\pi\) | |||||||
\(948\) | 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 | 0.921058 | − | 0.389424i | \(-0.127326\pi\) |
−0.797781 | + | 0.602948i | \(0.793993\pi\) | |||||||
\(954\) | 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 | 0.899830 | + | 0.436240i | \(0.143690\pi\) |
−0.994767 | + | 0.102171i | \(0.967421\pi\) | |||||||
\(968\) | 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 | 0.441464 | + | 0.897279i | \(0.354459\pi\) |
−0.721728 | + | 0.692177i | \(0.756652\pi\) | |||||||
\(978\) | 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 | 0.999925 | + | 0.0122258i | \(0.00389168\pi\) |
−0.935441 | + | 0.353483i | \(0.884997\pi\) | |||||||
\(984\) | 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 | 0.999016 | + | 0.0443581i | \(0.0141242\pi\) |
−0.461093 | + | 0.887352i | \(0.652542\pi\) | |||||||
\(992\) | 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 | −0.0120262 | − | 0.999928i | \(-0.503828\pi\) |
−0.651954 | + | 0.758259i | \(0.726050\pi\) | |||||||
\(998\) | 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.193.2 | ✓ | 54 | |
4.3 | odd | 2 | 864.2.y.c.193.8 | yes | 54 | ||
27.7 | even | 9 | inner | 864.2.y.b.385.2 | yes | 54 | |
108.7 | odd | 18 | 864.2.y.c.385.8 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.b.193.2 | ✓ | 54 | 1.1 | even | 1 | trivial | |
864.2.y.b.385.2 | yes | 54 | 27.7 | even | 9 | inner | |
864.2.y.c.193.8 | yes | 54 | 4.3 | odd | 2 | ||
864.2.y.c.385.8 | yes | 54 | 108.7 | odd | 18 |