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: | \(60\) |
Relative dimension: | \(10\) 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.d.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 | ||||||||
\(3\) | −1.68152 | + | 0.415309i | −0.970828 | + | 0.239779i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.564773 | + | 3.20298i | −0.252574 | + | 1.43242i | 0.549650 | + | 0.835395i | \(0.314761\pi\) |
−0.802224 | + | 0.597023i | \(0.796350\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.06064 | + | 1.72908i | −0.778849 | + | 0.653532i | −0.942958 | − | 0.332911i | \(-0.891969\pi\) |
0.164110 | + | 0.986442i | \(0.447525\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.65504 | − | 1.39670i | 0.885012 | − | 0.465568i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.560273 | + | 3.17747i | 0.168929 | + | 0.958042i | 0.944921 | + | 0.327299i | \(0.106139\pi\) |
−0.775992 | + | 0.630743i | \(0.782750\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.14100 | − | 1.87117i | 1.42586 | − | 0.518970i | 0.490117 | − | 0.871657i | \(-0.336954\pi\) |
0.935741 | + | 0.352687i | \(0.114732\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.380550 | − | 5.62045i | −0.0982577 | − | 1.45119i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.91506 | + | 5.04904i | −0.707006 | + | 1.22457i | 0.258956 | + | 0.965889i | \(0.416621\pi\) |
−0.965963 | + | 0.258682i | \(0.916712\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.17060 | + | 5.49163i | 0.727385 | + | 1.25987i | 0.957985 | + | 0.286819i | \(0.0925977\pi\) |
−0.230600 | + | 0.973049i | \(0.574069\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.74691 | − | 3.76329i | 0.599425 | − | 0.821218i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.71915 | − | 3.95984i | −0.984011 | − | 0.825683i | 0.000678723 | − | 1.00000i | \(-0.499784\pi\) |
−0.984690 | + | 0.174317i | \(0.944228\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −5.24168 | − | 1.90782i | −1.04834 | − | 0.381563i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.88444 | + | 3.45125i | −0.747561 | + | 0.664193i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.93718 | − | 0.705076i | −0.359725 | − | 0.130929i | 0.155834 | − | 0.987783i | \(-0.450194\pi\) |
−0.515559 | + | 0.856854i | \(0.672416\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.75856 | − | 4.83200i | −1.03427 | − | 0.867854i | −0.0429151 | − | 0.999079i | \(-0.513664\pi\) |
−0.991353 | + | 0.131225i | \(0.958109\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.26174 | − | 5.11029i | −0.393719 | − | 0.889588i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −4.37443 | − | 7.57674i | −0.739414 | − | 1.28070i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.52449 | + | 2.64049i | −0.250624 | + | 0.434094i | −0.963698 | − | 0.266995i | \(-0.913969\pi\) |
0.713073 | + | 0.701089i | \(0.247303\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.86760 | + | 5.28152i | −1.25982 | + | 0.845721i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.33643 | − | 1.57833i | 0.677237 | − | 0.246494i | 0.0195760 | − | 0.999808i | \(-0.493768\pi\) |
0.657661 | + | 0.753314i | \(0.271546\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.68001 | − | 9.52781i | −0.256199 | − | 1.45298i | −0.792976 | − | 0.609253i | \(-0.791469\pi\) |
0.536777 | − | 0.843724i | \(-0.319642\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.97413 | + | 9.29286i | 0.443357 | + | 1.38530i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.00629 | − | 3.36167i | 0.584377 | − | 0.490350i | −0.302004 | − | 0.953307i | \(-0.597656\pi\) |
0.886381 | + | 0.462956i | \(0.153211\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.0409740 | − | 0.232375i | 0.00585343 | − | 0.0331964i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.80483 | − | 9.70072i | 0.392755 | − | 1.35837i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.63550 | −1.18618 | −0.593088 | − | 0.805137i | \(-0.702092\pi\) | ||||
−0.593088 | + | 0.805137i | \(0.702092\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −10.4938 | −1.41498 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −7.61215 | − | 7.91753i | −1.00825 | − | 1.04870i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.79573 | + | 10.1841i | −0.233784 | + | 1.32585i | 0.611375 | + | 0.791341i | \(0.290617\pi\) |
−0.845159 | + | 0.534514i | \(0.820495\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.675083 | − | 0.566462i | 0.0864355 | − | 0.0725280i | −0.598546 | − | 0.801088i | \(-0.704255\pi\) |
0.684982 | + | 0.728560i | \(0.259810\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.05606 | + | 7.46888i | −0.385027 | + | 0.940990i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.08984 | + | 17.5233i | 0.383247 | + | 2.17350i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.628431 | − | 0.228730i | 0.0767750 | − | 0.0279438i | −0.303347 | − | 0.952880i | \(-0.598104\pi\) |
0.380122 | + | 0.924936i | \(0.375882\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 9.57991 | + | 4.69865i | 1.15329 | + | 0.565651i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.92691 | + | 5.06956i | −0.347361 | + | 0.601646i | −0.985780 | − | 0.168043i | \(-0.946255\pi\) |
0.638419 | + | 0.769689i | \(0.279589\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.69150 | − | 9.85797i | −0.666140 | − | 1.15379i | −0.978975 | − | 0.203981i | \(-0.934612\pi\) |
0.312835 | − | 0.949808i | \(-0.398721\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 9.60634 | + | 1.03112i | 1.10924 | + | 0.119063i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −6.64862 | − | 5.57885i | −0.757680 | − | 0.635769i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.01891 | + | 2.19070i | 0.677180 | + | 0.246473i | 0.657636 | − | 0.753336i | \(-0.271556\pi\) |
0.0195439 | + | 0.999809i | \(0.493779\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.09844 | − | 7.41660i | 0.566494 | − | 0.824066i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.46119 | + | 3.44359i | 1.03850 | + | 0.377983i | 0.804311 | − | 0.594208i | \(-0.202534\pi\) |
0.234189 | + | 0.972191i | \(0.424757\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −14.5256 | − | 12.1885i | −1.57553 | − | 1.32202i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.55024 | + | 0.381073i | 0.380625 | + | 0.0408553i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.40267 | + | 2.42950i | 0.148683 | + | 0.257526i | 0.930741 | − | 0.365679i | \(-0.119163\pi\) |
−0.782058 | + | 0.623205i | \(0.785830\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.35835 | + | 12.7450i | −0.771364 | + | 1.33604i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 11.6899 | + | 5.73354i | 1.21219 | + | 0.594541i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −19.3803 | + | 7.05385i | −1.98838 | + | 0.723709i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.47207 | − | 8.34855i | −0.149466 | − | 0.847667i | −0.963672 | − | 0.267089i | \(-0.913938\pi\) |
0.814205 | − | 0.580577i | \(-0.197173\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.92552 | + | 7.65375i | 0.595537 | + | 0.769231i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.756583 | − | 0.634848i | 0.0752828 | − | 0.0631698i | −0.604370 | − | 0.796704i | \(-0.706575\pi\) |
0.679653 | + | 0.733534i | \(0.262131\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.65038 | − | 9.35977i | 0.162617 | − | 0.922246i | −0.788871 | − | 0.614559i | \(-0.789334\pi\) |
0.951488 | − | 0.307687i | \(-0.0995549\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 10.5024 | + | 10.9237i | 1.02493 | + | 1.06605i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.54487 | 0.342696 | 0.171348 | − | 0.985211i | \(-0.445188\pi\) | ||||
0.171348 | + | 0.985211i | \(0.445188\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −14.7774 | −1.41542 | −0.707709 | − | 0.706504i | \(-0.750271\pi\) | ||||
−0.707709 | + | 0.706504i | \(0.750271\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.46684 | − | 5.07318i | 0.139227 | − | 0.481525i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.65157 | + | 15.0378i | −0.249439 | + | 1.41464i | 0.560515 | + | 0.828144i | \(0.310603\pi\) |
−0.809954 | + | 0.586494i | \(0.800508\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 15.3485 | − | 12.8790i | 1.43126 | − | 1.20097i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 11.0361 | − | 12.1485i | 1.02029 | − | 1.12313i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.72330 | − | 15.4446i | −0.249645 | − | 1.41581i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.554237 | − | 0.201726i | 0.0503852 | − | 0.0183387i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −6.63631 | + | 4.45496i | −0.598376 | + | 0.401690i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.940071 | − | 1.62825i | 0.0840825 | − | 0.145635i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.55982 | + | 13.0940i | 0.670826 | + | 1.16190i | 0.977670 | + | 0.210145i | \(0.0673935\pi\) |
−0.306845 | + | 0.951760i | \(0.599273\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 6.78196 | + | 15.3235i | 0.597118 | + | 1.34916i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.54087 | − | 2.97114i | −0.309367 | − | 0.259590i | 0.474863 | − | 0.880060i | \(-0.342498\pi\) |
−0.784230 | + | 0.620470i | \(0.786942\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −16.0289 | − | 5.83406i | −1.38989 | − | 0.505877i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −8.86047 | − | 14.3910i | −0.762588 | − | 1.23858i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.593168 | − | 0.215895i | −0.0506778 | − | 0.0184452i | 0.316557 | − | 0.948574i | \(-0.397473\pi\) |
−0.367235 | + | 0.930128i | \(0.619695\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 13.7248 | + | 11.5165i | 1.16412 | + | 0.976816i | 0.999954 | − | 0.00961641i | \(-0.00306105\pi\) |
0.164170 | + | 0.986432i | \(0.447505\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.34053 | + | 7.31658i | −0.449754 | + | 0.616167i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 8.82595 | + | 15.2870i | 0.738063 | + | 1.27836i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.35241 | − | 5.80655i | 0.278403 | − | 0.482208i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.0276087 | + | 0.407761i | 0.00227713 | + | 0.0336315i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 10.9851 | − | 3.99825i | 0.899934 | − | 0.327549i | 0.149708 | − | 0.988730i | \(-0.452167\pi\) |
0.750226 | + | 0.661181i | \(0.229944\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.13948 | − | 6.46232i | −0.0927296 | − | 0.525896i | −0.995419 | − | 0.0956040i | \(-0.969522\pi\) |
0.902690 | − | 0.430292i | \(-0.141589\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.687595 | + | 17.4769i | −0.0555887 | + | 1.41292i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 18.7291 | − | 15.7156i | 1.50436 | − | 1.26231i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.63266 | + | 9.25927i | −0.130300 | + | 0.738970i | 0.847717 | + | 0.530448i | \(0.177976\pi\) |
−0.978018 | + | 0.208522i | \(0.933135\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 14.5208 | − | 3.58640i | 1.15157 | − | 0.284420i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 16.5714 | 1.30601 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.1735 | −0.875172 | −0.437586 | − | 0.899176i | \(-0.644167\pi\) | ||||
−0.437586 | + | 0.899176i | \(0.644167\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 17.6456 | − | 4.35817i | 1.37371 | − | 0.339283i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.17114 | − | 12.3131i | 0.168008 | − | 0.952819i | −0.777901 | − | 0.628387i | \(-0.783716\pi\) |
0.945909 | − | 0.324432i | \(-0.105173\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.9701 | − | 10.8832i | 0.997697 | − | 0.837167i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 16.0882 | + | 10.1521i | 1.23030 | + | 0.776351i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.81394 | − | 10.2874i | −0.137911 | − | 0.782133i | −0.972788 | − | 0.231696i | \(-0.925572\pi\) |
0.834877 | − | 0.550437i | \(-0.185539\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 14.1000 | − | 5.13197i | 1.06586 | − | 0.387941i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.20998 | − | 17.8706i | −0.0909479 | − | 1.34323i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.74874 | + | 9.95710i | −0.429681 | + | 0.744229i | −0.996845 | − | 0.0793761i | \(-0.974707\pi\) |
0.567164 | + | 0.823605i | \(0.308041\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.41625 | + | 11.1133i | 0.476916 | + | 0.826043i | 0.999650 | − | 0.0264531i | \(-0.00842128\pi\) |
−0.522734 | + | 0.852496i | \(0.675088\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.899911 | + | 1.23289i | −0.0665233 | + | 0.0911376i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −7.59647 | − | 6.37419i | −0.558503 | − | 0.468640i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −17.6764 | − | 6.43367i | −1.29262 | − | 0.470477i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.03694 | − | 13.8283i | 0.148166 | − | 1.00586i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 17.8711 | + | 6.50454i | 1.29311 | + | 0.470652i | 0.894745 | − | 0.446577i | \(-0.147357\pi\) |
0.398360 | + | 0.917229i | \(0.369579\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.90939 | − | 3.28037i | −0.281404 | − | 0.236126i | 0.491150 | − | 0.871075i | \(-0.336577\pi\) |
−0.772554 | + | 0.634949i | \(0.781021\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −12.4732 | − | 28.1827i | −0.893227 | − | 2.01820i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 4.95302 | + | 8.57889i | 0.352888 | + | 0.611221i | 0.986754 | − | 0.162222i | \(-0.0518662\pi\) |
−0.633866 | + | 0.773443i | \(0.718533\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.96471 | − | 8.59913i | 0.351939 | − | 0.609576i | −0.634650 | − | 0.772800i | \(-0.718856\pi\) |
0.986589 | + | 0.163223i | \(0.0521891\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.961727 | + | 0.645608i | −0.0678350 | + | 0.0455376i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 5.21096 | − | 1.89664i | 0.365738 | − | 0.133118i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.60627 | + | 14.7809i | 0.182030 | + | 1.03234i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −18.0602 | − | 3.92226i | −1.25527 | − | 0.272616i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −15.6731 | + | 13.1513i | −1.08413 | + | 0.909693i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.37015 | + | 7.77053i | −0.0943253 | + | 0.534945i | 0.900627 | + | 0.434594i | \(0.143108\pi\) |
−0.994952 | + | 0.100352i | \(0.968003\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.81624 | − | 9.74015i | 0.192965 | − | 0.667384i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 31.4663 | 2.14598 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 20.2212 | 1.37271 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 13.6645 | + | 14.2127i | 0.923361 | + | 0.960404i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.53873 | + | 31.4117i | −0.372575 | + | 2.11298i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −14.9853 | + | 12.5742i | −1.00349 | + | 0.842028i | −0.987464 | − | 0.157843i | \(-0.949546\pi\) |
−0.0160262 | + | 0.999872i | \(0.505102\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −16.5815 | + | 2.25575i | −1.10543 | + | 0.150383i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.0320519 | − | 0.181775i | −0.00212736 | − | 0.0120649i | 0.983726 | − | 0.179677i | \(-0.0575054\pi\) |
−0.985853 | + | 0.167612i | \(0.946394\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −19.8906 | + | 7.23957i | −1.31441 | + | 0.478405i | −0.901662 | − | 0.432442i | \(-0.857652\pi\) |
−0.412744 | + | 0.910847i | \(0.635430\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.4968 | + | 6.61974i | 0.888021 | + | 0.435547i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −6.85266 | + | 11.8692i | −0.448933 | + | 0.777574i | −0.998317 | − | 0.0579958i | \(-0.981529\pi\) |
0.549384 | + | 0.835570i | \(0.314862\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.50475 | + | 14.7307i | 0.554788 | + | 0.960922i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −11.0308 | − | 1.18401i | −0.716524 | − | 0.0769098i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −10.2875 | − | 8.63226i | −0.665445 | − | 0.558374i | 0.246269 | − | 0.969202i | \(-0.420795\pi\) |
−0.911713 | + | 0.410827i | \(0.865240\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.38596 | − | 0.504447i | −0.0892773 | − | 0.0324943i | 0.296995 | − | 0.954879i | \(-0.404015\pi\) |
−0.386273 | + | 0.922385i | \(0.626238\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −5.49297 | + | 14.5886i | −0.352374 | + | 0.935859i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.721153 | + | 0.262478i | 0.0460728 | + | 0.0167691i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 26.5758 | + | 22.2998i | 1.69098 | + | 1.41890i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −17.3394 | − | 1.86116i | −1.09884 | − | 0.117946i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 9.08471 | + | 15.7352i | 0.573422 | + | 0.993195i | 0.996211 | + | 0.0869675i | \(0.0277176\pi\) |
−0.422790 | + | 0.906228i | \(0.638949\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.93824 | − | 17.2135i | 0.624812 | − | 1.08221i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 29.4872 | + | 14.4625i | 1.84656 | + | 0.905679i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −12.6315 | + | 4.59750i | −0.787933 | + | 0.286784i | −0.704477 | − | 0.709727i | \(-0.748818\pi\) |
−0.0834565 | + | 0.996511i | \(0.526596\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.42421 | − | 8.07707i | −0.0884958 | − | 0.501885i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.12807 | + | 0.833662i | −0.379318 | + | 0.0516024i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −10.5468 | + | 8.84986i | −0.650347 | + | 0.545706i | −0.907176 | − | 0.420751i | \(-0.861767\pi\) |
0.256829 | + | 0.966457i | \(0.417322\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.87709 | − | 27.6594i | 0.299597 | − | 1.69910i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.36761 | − | 3.50271i | −0.206095 | − | 0.214362i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −9.01937 | −0.549921 | −0.274960 | − | 0.961456i | \(-0.588665\pi\) | ||||
−0.274960 | + | 0.961456i | \(0.588665\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.45681 | 0.0884949 | 0.0442474 | − | 0.999021i | \(-0.485911\pi\) | ||||
0.0442474 | + | 0.999021i | \(0.485911\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 7.08010 | − | 24.4870i | 0.428507 | − | 1.48202i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3.12525 | − | 17.7242i | 0.188459 | − | 1.06881i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.07457 | − | 2.57987i | 0.184733 | − | 0.155010i | −0.545731 | − | 0.837960i | \(-0.683748\pi\) |
0.730464 | + | 0.682951i | \(0.239304\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −22.0381 | − | 4.78615i | −1.31938 | − | 0.286540i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.65931 | − | 20.7530i | −0.218296 | − | 1.23802i | −0.875094 | − | 0.483953i | \(-0.839201\pi\) |
0.656798 | − | 0.754067i | \(-0.271910\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 20.6804 | − | 7.52704i | 1.22932 | − | 0.447436i | 0.355956 | − | 0.934503i | \(-0.384155\pi\) |
0.873365 | + | 0.487066i | \(0.161933\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 29.6589 | − | 19.9100i | 1.75684 | − | 1.17937i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −6.20675 | + | 10.7504i | −0.366373 | + | 0.634577i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.49517 | − | 14.7141i | −0.499716 | − | 0.865533i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5.94255 | + | 13.4269i | 0.348359 | + | 0.787099i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −20.6932 | − | 17.3636i | −1.20891 | − | 1.01439i | −0.999330 | − | 0.0366028i | \(-0.988346\pi\) |
−0.209579 | − | 0.977792i | \(-0.567209\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −31.6053 | − | 11.5034i | −1.84013 | − | 0.669753i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −13.1426 | − | 10.4090i | −0.762609 | − | 0.603994i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −31.6707 | − | 11.5272i | −1.83156 | − | 0.666635i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 19.9363 | + | 16.7285i | 1.14911 | + | 0.964215i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.00855 | + | 1.38173i | −0.0579398 | + | 0.0793782i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.43310 | + | 2.48220i | 0.0820591 | + | 0.142131i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.81461 | − | 8.33915i | 0.274784 | − | 0.475941i | −0.695296 | − | 0.718723i | \(-0.744727\pi\) |
0.970081 | + | 0.242783i | \(0.0780602\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.11205 | + | 16.4241i | 0.0632620 | + | 0.934334i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.214371 | + | 0.0780247i | −0.0121559 | + | 0.00442438i | −0.348091 | − | 0.937461i | \(-0.613170\pi\) |
0.335935 | + | 0.941885i | \(0.390948\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.17797 | + | 29.3657i | 0.292676 | + | 1.65985i | 0.676501 | + | 0.736442i | \(0.263496\pi\) |
−0.383825 | + | 0.923406i | \(0.625393\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −22.1967 | − | 14.0067i | −1.25064 | − | 0.789190i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −5.98396 | + | 5.02114i | −0.336093 | + | 0.282015i | −0.795177 | − | 0.606378i | \(-0.792622\pi\) |
0.459084 | + | 0.888393i | \(0.348178\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.15500 | − | 6.55036i | 0.0646679 | − | 0.366750i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.96078 | + | 1.47222i | −0.332698 | + | 0.0821711i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −36.9699 | −2.05706 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −30.5173 | −1.69280 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 24.8485 | − | 6.13719i | 1.37413 | − | 0.339387i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.44290 | + | 13.8544i | −0.134682 | + | 0.763817i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.66458 | − | 3.91404i | 0.256388 | − | 0.215135i | −0.505529 | − | 0.862810i | \(-0.668703\pi\) |
0.761917 | + | 0.647674i | \(0.224258\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.359591 | + | 9.13986i | −0.0197055 | + | 0.500861i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0.377698 | + | 2.14203i | 0.0206359 | + | 0.117032i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.23843 | − | 3.36251i | 0.503249 | − | 0.183168i | −0.0779056 | − | 0.996961i | \(-0.524823\pi\) |
0.581155 | + | 0.813793i | \(0.302601\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.78666 | − | 26.3876i | −0.0970380 | − | 1.43318i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.1272 | − | 21.0049i | 0.656723 | − | 1.13748i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.09755 | − | 15.7574i | −0.491221 | − | 0.850820i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −20.4602 | + | 28.0307i | −1.10154 | + | 1.50912i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 9.02545 | + | 7.57325i | 0.484512 | + | 0.406554i | 0.852055 | − | 0.523453i | \(-0.175356\pi\) |
−0.367543 | + | 0.930007i | \(0.619801\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.41404 | + | 3.06246i | 0.450393 | + | 0.163930i | 0.557250 | − | 0.830345i | \(-0.311856\pi\) |
−0.106857 | + | 0.994274i | \(0.534079\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −13.5120 | + | 25.0113i | −0.721220 | + | 1.33501i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 13.8109 | + | 5.02674i | 0.735077 | + | 0.267546i | 0.682312 | − | 0.731061i | \(-0.260974\pi\) |
0.0527649 | + | 0.998607i | \(0.483197\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −14.5847 | − | 12.2380i | −0.774075 | − | 0.649526i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 10.9936 | + | 24.8395i | 0.581842 | + | 1.31464i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 14.6259 | + | 25.3327i | 0.771924 | + | 1.33701i | 0.936507 | + | 0.350648i | \(0.114039\pi\) |
−0.164584 | + | 0.986363i | \(0.552628\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.6054 | + | 18.3690i | −0.558177 | + | 0.966791i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.848183 | + | 0.569386i | −0.0445181 | + | 0.0298850i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 34.7893 | − | 12.6623i | 1.82096 | − | 0.662774i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.55671 | + | 14.4998i | 0.133459 | + | 0.756883i | 0.975920 | + | 0.218127i | \(0.0699946\pi\) |
−0.842462 | + | 0.538756i | \(0.818894\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 9.30892 | − | 10.2472i | 0.484603 | − | 0.533450i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 17.7947 | − | 14.9315i | 0.923852 | − | 0.775204i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.73515 | + | 9.84055i | −0.0898429 | + | 0.509524i | 0.906363 | + | 0.422499i | \(0.138847\pi\) |
−0.996206 | + | 0.0870249i | \(0.972264\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.904523 | + | 3.12836i | −0.0467094 | + | 0.161548i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −11.2784 | −0.580866 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.45579 | −0.434345 | −0.217172 | − | 0.976133i | \(-0.569683\pi\) | ||||
−0.217172 | + | 0.976133i | \(0.569683\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −18.1501 | − | 18.8782i | −0.929856 | − | 0.967159i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 3.06233 | − | 17.3673i | 0.156478 | − | 0.887430i | −0.800944 | − | 0.598739i | \(-0.795669\pi\) |
0.957422 | − | 0.288691i | \(-0.0932201\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 21.6239 | − | 18.1446i | 1.10206 | − | 0.924737i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −17.7680 | − | 22.9502i | −0.903199 | − | 1.16662i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.675681 | + | 3.83198i | 0.0342584 | + | 0.194289i | 0.997134 | − | 0.0756568i | \(-0.0241053\pi\) |
−0.962876 | + | 0.269946i | \(0.912994\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 33.7500 | − | 12.2840i | 1.70681 | − | 0.621228i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.18799 | + | 3.52549i | 0.362586 | + | 0.177837i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −10.4161 | + | 18.0412i | −0.524091 | + | 0.907753i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.31869 | + | 5.74814i | 0.166560 | + | 0.288491i | 0.937208 | − | 0.348770i | \(-0.113401\pi\) |
−0.770648 | + | 0.637261i | \(0.780067\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 29.3760 | + | 3.15314i | 1.47064 | + | 0.157854i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 25.0587 | + | 21.0267i | 1.25137 | + | 1.05003i | 0.996546 | + | 0.0830386i | \(0.0264625\pi\) |
0.254825 | + | 0.966987i | \(0.417982\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −38.6463 | − | 14.0661i | −1.92511 | − | 0.700682i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 20.8758 | + | 20.5189i | 1.03733 | + | 1.01959i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −9.24420 | − | 3.36461i | −0.458218 | − | 0.166778i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.2858 | + | 16.1827i | 0.953624 | + | 0.800185i | 0.979904 | − | 0.199469i | \(-0.0639218\pi\) |
−0.0262803 | + | 0.999655i | \(0.508366\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.08709 | + | 0.116685i | 0.0536221 | + | 0.00575566i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −13.9088 | − | 24.0907i | −0.684406 | − | 1.18543i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.3732 | + | 28.3592i | −0.803728 | + | 1.39210i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −27.8615 | − | 13.6652i | −1.36438 | − | 0.669187i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −29.4147 | + | 10.7061i | −1.43700 | + | 0.523025i | −0.938929 | − | 0.344111i | \(-0.888180\pi\) |
−0.498071 | + | 0.867136i | \(0.665958\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.89732 | + | 27.7741i | 0.238681 | + | 1.35363i | 0.834722 | + | 0.550672i | \(0.185628\pi\) |
−0.596041 | + | 0.802954i | \(0.703260\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 5.94158 | − | 14.5210i | 0.288889 | − | 0.706033i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 24.9124 | − | 20.9040i | 1.20843 | − | 1.01399i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.411644 | + | 2.33455i | −0.0199208 | + | 0.112977i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −21.1899 | − | 22.0399i | −1.02306 | − | 1.06410i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −12.8779 | −0.620307 | −0.310153 | − | 0.950686i | \(-0.600380\pi\) | ||||
−0.310153 | + | 0.950686i | \(0.600380\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 28.0867 | 1.34976 | 0.674881 | − | 0.737927i | \(-0.264195\pi\) | ||||
0.674881 | + | 0.737927i | \(0.264195\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −3.22565 | + | 11.1561i | −0.154658 | + | 0.534896i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 6.78346 | − | 38.4709i | 0.324497 | − | 1.84031i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.13021 | + | 1.78746i | −0.101669 | + | 0.0853107i | −0.692205 | − | 0.721701i | \(-0.743361\pi\) |
0.590536 | + | 0.807011i | \(0.298916\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.215771 | − | 0.674193i | −0.0102748 | − | 0.0321044i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −5.14550 | − | 29.1816i | −0.244470 | − | 1.38646i | −0.821720 | − | 0.569892i | \(-0.806985\pi\) |
0.577250 | − | 0.816568i | \(-0.304126\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.57383 | + | 3.12062i | −0.406438 | + | 0.147931i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −16.8112 | + | 11.2854i | −0.795142 | + | 0.533779i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 0.579456 | − | 1.00365i | 0.0273462 | − | 0.0473650i | −0.852028 | − | 0.523496i | \(-0.824628\pi\) |
0.879375 | + | 0.476130i | \(0.157961\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.44468 | + | 12.8946i | 0.350556 | + | 0.607181i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 4.59992 | + | 10.3933i | 0.216123 | + | 0.488320i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −36.6663 | − | 30.7667i | −1.71894 | − | 1.44237i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −37.4916 | − | 13.6458i | −1.75378 | − | 0.638325i | −0.753957 | − | 0.656924i | \(-0.771857\pi\) |
−0.999827 | + | 0.0185983i | \(0.994080\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −6.10209 | − | 29.6733i | −0.284821 | − | 1.38503i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −8.12859 | − | 2.95857i | −0.378586 | − | 0.137794i | 0.145716 | − | 0.989326i | \(-0.453451\pi\) |
−0.524302 | + | 0.851532i | \(0.675674\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.72810 | + | 8.16285i | 0.452103 | + | 0.379360i | 0.840216 | − | 0.542252i | \(-0.182428\pi\) |
−0.388112 | + | 0.921612i | \(0.626873\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −24.9666 | + | 34.2045i | −1.15780 | + | 1.58620i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 11.5154 | + | 19.9453i | 0.532869 | + | 0.922956i | 0.999263 | + | 0.0383793i | \(0.0122195\pi\) |
−0.466394 | + | 0.884577i | \(0.654447\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.899476 | + | 1.55794i | −0.0415339 | + | 0.0719389i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.10010 | − | 16.2477i | −0.0506902 | − | 0.748656i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 29.3330 | − | 10.6763i | 1.34873 | − | 0.490899i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.14223 | − | 34.8343i | −0.281825 | − | 1.59831i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −22.9276 | + | 12.0612i | −1.04978 | + | 0.552246i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 6.88888 | − | 5.78045i | 0.314761 | − | 0.264116i | −0.471696 | − | 0.881761i | \(-0.656358\pi\) |
0.786456 | + | 0.617646i | \(0.211913\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.89659 | + | 16.4274i | −0.132073 | + | 0.749023i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −27.8651 | + | 6.88223i | −1.26791 | + | 0.313152i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 27.5717 | 1.25196 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −25.9250 | −1.17477 | −0.587387 | − | 0.809306i | \(-0.699843\pi\) | ||||
−0.587387 | + | 0.809306i | \(0.699843\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 18.7884 | − | 4.64044i | 0.849641 | − | 0.209848i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.07279 | + | 34.4405i | −0.274061 | + | 1.55428i | 0.467868 | + | 0.883798i | \(0.345022\pi\) |
−0.741929 | + | 0.670479i | \(0.766089\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.20695 | − | 7.72555i | 0.414660 | − | 0.347941i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −27.8614 | + | 14.6567i | −1.25228 | + | 0.658771i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.73437 | − | 15.5074i | −0.122653 | − | 0.695602i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −21.2567 | + | 7.73682i | −0.951582 | + | 0.346347i | −0.770729 | − | 0.637163i | \(-0.780108\pi\) |
−0.180853 | + | 0.983510i | \(0.557886\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.46294 | + | 21.6065i | 0.0653592 | + | 0.965308i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 0.826127 | − | 1.43089i | 0.0368352 | − | 0.0638004i | −0.847020 | − | 0.531561i | \(-0.821606\pi\) |
0.883855 | + | 0.467760i | \(0.154939\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.60611 | + | 2.78187i | 0.0714711 | + | 0.123791i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −17.2896 | + | 23.6869i | −0.767857 | + | 1.05197i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −23.4960 | − | 19.7155i | −1.04144 | − | 0.873875i | −0.0492757 | − | 0.998785i | \(-0.515691\pi\) |
−0.992168 | + | 0.124910i | \(0.960136\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 28.7734 | + | 10.4727i | 1.27286 | + | 0.463283i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −31.2690 | − | 10.3894i | −1.38056 | − | 0.458704i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 29.0471 | + | 10.5723i | 1.27997 | + | 0.465871i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.9262 | + | 10.8464i | 0.568494 | + | 0.477023i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 7.32261 | + | 16.5451i | 0.321427 | + | 0.726248i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1.00330 | − | 1.73777i | −0.0439555 | − | 0.0761332i | 0.843211 | − | 0.537583i | \(-0.180663\pi\) |
−0.887166 | + | 0.461450i | \(0.847329\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −18.7387 | + | 32.4563i | −0.819385 | + | 1.41922i | 0.0867517 | + | 0.996230i | \(0.472351\pi\) |
−0.906136 | + | 0.422986i | \(0.860982\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −21.5781 | + | 14.4854i | −0.941745 | + | 0.632194i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 41.1835 | − | 14.9896i | 1.79398 | − | 0.652956i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.59616 | + | 14.7236i | 0.112877 | + | 0.640155i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 9.45641 | + | 29.5472i | 0.410373 | + | 1.28224i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 19.3403 | − | 16.2284i | 0.837720 | − | 0.702931i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.00205 | + | 11.3542i | −0.0865560 | + | 0.490884i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 5.53136 | − | 19.1306i | 0.238696 | − | 0.825546i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.761320 | 0.0327924 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 35.6056 | 1.53080 | 0.765402 | − | 0.643553i | \(-0.222540\pi\) | ||||
0.765402 | + | 0.643553i | \(0.222540\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −15.4045 | − | 16.0225i | −0.661071 | − | 0.687591i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 8.34587 | − | 47.3318i | 0.357498 | − | 2.02747i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −22.1618 | + | 18.5959i | −0.947569 | + | 0.795105i | −0.978887 | − | 0.204405i | \(-0.934474\pi\) |
0.0313173 | + | 0.999509i | \(0.490030\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.00119 | − | 2.44687i | 0.0427298 | − | 0.104430i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.27000 | − | 12.8738i | −0.0967051 | − | 0.548442i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −16.1907 | + | 5.89294i | −0.688499 | + | 0.250593i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 15.4209 | + | 7.56347i | 0.654580 | + | 0.321051i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −10.2160 | + | 17.6947i | −0.432867 | + | 0.749747i | −0.997119 | − | 0.0758553i | \(-0.975831\pi\) |
0.564252 | + | 0.825603i | \(0.309165\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −26.4651 | − | 45.8389i | −1.11936 | − | 1.93878i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 32.3952 | + | 3.47721i | 1.36773 | + | 0.146808i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −22.4358 | − | 18.8259i | −0.945557 | − | 0.793417i | 0.0329866 | − | 0.999456i | \(-0.489498\pi\) |
−0.978544 | + | 0.206039i | \(0.933943\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −46.6683 | − | 16.9859i | −1.96335 | − | 0.714601i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.31785 | + | 24.0986i | 0.0973405 | + | 1.01204i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 10.3423 | + | 3.76427i | 0.433570 | + | 0.157807i | 0.549579 | − | 0.835442i | \(-0.314788\pi\) |
−0.116009 | + | 0.993248i | \(0.537010\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 11.8720 | + | 9.96180i | 0.496828 | + | 0.416888i | 0.856466 | − | 0.516204i | \(-0.172655\pi\) |
−0.359638 | + | 0.933092i | \(0.617100\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −32.7520 | − | 3.51551i | −1.36824 | − | 0.146863i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 17.1816 | + | 29.7595i | 0.716524 | + | 1.24106i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −20.1394 | + | 34.8824i | −0.838413 | + | 1.45217i | 0.0528078 | + | 0.998605i | \(0.483183\pi\) |
−0.891221 | + | 0.453569i | \(0.850150\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 7.93610 | + | 3.89241i | 0.329813 | + | 0.161763i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −25.4504 | + | 9.26317i | −1.05586 | + | 0.384301i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.83824 | − | 27.4390i | −0.200379 | − | 1.13641i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 32.6785 | + | 42.2095i | 1.35109 | + | 1.74515i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 26.7300 | − | 22.4292i | 1.10327 | − | 0.925751i | 0.105626 | − | 0.994406i | \(-0.466315\pi\) |
0.997640 | + | 0.0686550i | \(0.0218708\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 8.27754 | − | 46.9442i | 0.341070 | − | 1.93430i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −11.8915 | − | 12.3686i | −0.489151 | − | 0.508775i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −10.0296 | −0.411865 | −0.205932 | − | 0.978566i | \(-0.566023\pi\) | ||||
−0.205932 | + | 0.978566i | \(0.566023\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 51.0069 | 2.09108 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −4.77698 | + | 16.5215i | −0.195509 | + | 0.676181i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3.22169 | + | 18.2711i | −0.131635 | + | 0.746538i | 0.845509 | + | 0.533960i | \(0.179297\pi\) |
−0.977144 | + | 0.212577i | \(0.931814\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.81619 | + | 6.55856i | −0.318829 | + | 0.267529i | −0.788130 | − | 0.615509i | \(-0.788950\pi\) |
0.469301 | + | 0.883038i | \(0.344506\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.34904 | − | 1.48502i | 0.0549371 | − | 0.0604746i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0.333107 | + | 1.88914i | 0.0135427 | + | 0.0768045i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 21.8117 | − | 7.93882i | 0.885311 | − | 0.322227i | 0.140960 | − | 0.990015i | \(-0.454981\pi\) |
0.744351 | + | 0.667789i | \(0.232759\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −7.97466 | + | 5.35340i | −0.323150 | + | 0.216931i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 14.3061 | − | 24.7788i | 0.578761 | − | 1.00244i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 18.0851 | + | 31.3243i | 0.730450 | + | 1.26518i | 0.956691 | + | 0.291105i | \(0.0940231\pi\) |
−0.226241 | + | 0.974071i | \(0.572644\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −10.5212 | − | 23.7720i | −0.424254 | − | 0.958581i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 10.7773 | + | 9.04324i | 0.433879 | + | 0.364067i | 0.833413 | − | 0.552651i | \(-0.186384\pi\) |
−0.399534 | + | 0.916718i | \(0.630828\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 30.4395 | + | 11.0791i | 1.22347 | + | 0.445306i | 0.871355 | − | 0.490652i | \(-0.163241\pi\) |
0.352112 | + | 0.935958i | \(0.385464\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 31.9976 | − | 0.905203i | 1.28402 | − | 0.0363245i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −7.09119 | − | 2.58098i | −0.284103 | − | 0.103405i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −16.6809 | − | 13.9970i | −0.667238 | − | 0.559879i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 20.8928 | − | 28.6233i | 0.834378 | − | 1.14311i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −8.88796 | − | 15.3944i | −0.354386 | − | 0.613815i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.0060 | + | 36.3834i | −0.836234 | + | 1.44840i | 0.0567872 | + | 0.998386i | \(0.481914\pi\) |
−0.893022 | + | 0.450014i | \(0.851419\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.923226 | − | 13.6354i | −0.0366949 | − | 0.541957i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −46.2094 | + | 16.8189i | −1.83377 | + | 0.667436i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.224166 | − | 1.27131i | −0.00888179 | − | 0.0503712i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −0.690390 | + | 17.5479i | −0.0273114 | + | 0.694184i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −2.50140 | + | 2.09893i | −0.0987995 | + | 0.0829026i | −0.690849 | − | 0.722999i | \(-0.742763\pi\) |
0.592050 | + | 0.805901i | \(0.298319\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.713743 | + | 4.04783i | −0.0281473 | + | 0.159631i | −0.995642 | − | 0.0932614i | \(-0.970271\pi\) |
0.967494 | + | 0.252892i | \(0.0813819\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −52.9112 | + | 13.0682i | −2.08338 | + | 0.514561i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 28.8322 | 1.13351 | 0.566755 | − | 0.823886i | \(-0.308199\pi\) | ||||
0.566755 | + | 0.823886i | \(0.308199\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −33.3657 | −1.30972 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −34.0025 | + | 8.39806i | −1.33266 | + | 0.329146i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −1.59346 | + | 9.03696i | −0.0623569 | + | 0.353644i | 0.937625 | + | 0.347648i | \(0.113020\pi\) |
−0.999982 | + | 0.00599555i | \(0.998092\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.5163 | − | 9.66333i | 0.449979 | − | 0.377578i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −28.8798 | − | 18.2239i | −1.12671 | − | 0.710984i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.65656 | − | 15.0661i | −0.103485 | − | 0.586892i | −0.991815 | − | 0.127686i | \(-0.959245\pi\) |
0.888330 | − | 0.459206i | \(-0.151866\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 32.5671 | − | 11.8535i | 1.26671 | − | 0.461046i | 0.380698 | − | 0.924700i | \(-0.375684\pi\) |
0.886017 | + | 0.463653i | \(0.153462\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −3.73206 | − | 55.1198i | −0.144941 | − | 2.14067i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 27.7391 | − | 48.0455i | 1.07568 | − | 1.86313i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.34986 | + | 10.9983i | 0.245867 | + | 0.425855i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 19.9760 | − | 27.3673i | 0.772316 | − | 1.05808i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.17814 | + | 1.82768i | 0.0840863 | + | 0.0705568i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 40.9521 | + | 14.9053i | 1.57859 | + | 0.574558i | 0.974896 | − | 0.222661i | \(-0.0714743\pi\) |
0.603690 | + | 0.797219i | \(0.293697\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 26.9453 | − | 10.6795i | 1.03713 | − | 0.411056i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −11.6974 | − | 4.25750i | −0.449567 | − | 0.163629i | 0.107307 | − | 0.994226i | \(-0.465777\pi\) |
−0.556874 | + | 0.830597i | \(0.687999\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 17.4687 | + | 14.6580i | 0.670389 | + | 0.562523i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.129389 | + | 0.292348i | 0.00495819 | + | 0.0112028i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −21.3778 | − | 37.0274i | −0.817998 | − | 1.41681i | −0.907155 | − | 0.420797i | \(-0.861750\pi\) |
0.0891562 | − | 0.996018i | \(-0.471583\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.02651 | − | 1.77798i | 0.0392211 | − | 0.0679330i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 30.4398 | − | 20.4342i | 1.16135 | − | 0.779615i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −44.3951 | + | 16.1585i | −1.69132 | + | 0.615590i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −6.36903 | − | 36.1205i | −0.242289 | − | 1.37409i | −0.826705 | − | 0.562636i | \(-0.809787\pi\) |
0.584416 | − | 0.811455i | \(-0.301324\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −25.4443 | − | 5.52592i | −0.966550 | − | 0.209912i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −44.6385 | + | 37.4562i | −1.69324 | + | 1.42079i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.67191 | + | 26.4957i | −0.176961 | + | 1.00360i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 6.59354 | − | 22.8042i | 0.249390 | − | 0.862535i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 3.40794 | 0.128716 | 0.0643580 | − | 0.997927i | \(-0.479500\pi\) | ||||
0.0643580 | + | 0.997927i | \(0.479500\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −19.3342 | −0.729201 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −20.4187 | − | 21.2378i | −0.769013 | − | 0.799863i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.461340 | + | 2.61639i | −0.0173505 | + | 0.0983994i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 34.9712 | − | 29.3443i | 1.31337 | − | 1.10205i | 0.325706 | − | 0.945471i | \(-0.394398\pi\) |
0.987665 | − | 0.156579i | \(-0.0500466\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 19.0402 | − | 2.59023i | 0.714063 | − | 0.0971412i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 8.04155 | + | 45.6059i | 0.301159 | + | 1.70795i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −53.9487 | + | 19.6357i | −2.01757 | + | 0.734334i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 20.8838 | + | 10.2428i | 0.779918 | + | 0.382526i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 4.12256 | − | 7.14048i | 0.153745 | − | 0.266295i | −0.778856 | − | 0.627203i | \(-0.784200\pi\) |
0.932602 | + | 0.360908i | \(0.117533\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 12.7830 | + | 22.1408i | 0.476063 | + | 0.824565i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 2.54002 | + | 0.272639i | 0.0944643 | + | 0.0101395i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 8.80892 | + | 7.39156i | 0.327155 | + | 0.274516i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.89865 | − | 2.14693i | −0.218769 | − | 0.0796253i | 0.230311 | − | 0.973117i | \(-0.426026\pi\) |
−0.449079 | + | 0.893492i | \(0.648248\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 3.17777 | − | 26.8123i | 0.117695 | − | 0.993050i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 53.0036 | + | 19.2917i | 1.96041 | + | 0.713530i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.4337 | + | 20.5023i | 0.902481 | + | 0.757271i | 0.970674 | − | 0.240401i | \(-0.0772789\pi\) |
−0.0681930 | + | 0.997672i | \(0.521723\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.32164 | − | 0.141862i | −0.0487496 | − | 0.00523265i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.07887 | + | 1.86867i | 0.0397409 | + | 0.0688332i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.0345 | − | 29.5046i | 0.626624 | − | 1.08534i | −0.361600 | − | 0.932333i | \(-0.617770\pi\) |
0.988224 | − | 0.153011i | \(-0.0488971\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −53.9492 | − | 26.4604i | −1.98187 | − | 0.972047i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −25.8288 | + | 9.40090i | −0.947565 | + | 0.344886i | −0.769149 | − | 0.639070i | \(-0.779320\pi\) |
−0.178416 | + | 0.983955i | \(0.557097\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.60225 | + | 37.4432i | 0.241888 | + | 1.37181i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 29.9295 | − | 4.07161i | 1.09506 | − | 0.148972i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −7.30470 | + | 6.12937i | −0.266908 | + | 0.223962i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.81665 | − | 32.9879i | 0.212253 | − | 1.20375i | −0.673358 | − | 0.739317i | \(-0.735149\pi\) |
0.885611 | − | 0.464428i | \(-0.153740\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −21.8111 | − | 22.6861i | −0.794841 | − | 0.826727i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 21.3422 | 0.776724 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 7.54003 | 0.274047 | 0.137023 | − | 0.990568i | \(-0.456246\pi\) | ||||
0.137023 | + | 0.990568i | \(0.456246\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −9.56244 | + | 33.0724i | −0.347094 | + | 1.20045i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 7.68694 | − | 43.5948i | 0.278651 | − | 1.58031i | −0.448468 | − | 0.893799i | \(-0.648030\pi\) |
0.727119 | − | 0.686511i | \(-0.240859\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 30.4509 | − | 25.5513i | 1.10240 | − | 0.925021i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −55.5897 | − | 12.0728i | −2.00985 | − | 0.436493i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 9.82433 | + | 55.7165i | 0.354736 | + | 2.01181i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 49.0666 | − | 17.8588i | 1.76939 | − | 0.644004i | 0.769401 | − | 0.638767i | \(-0.220555\pi\) |
0.999986 | − | 0.00523747i | \(-0.00166714\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 19.3308 | − | 12.9768i | 0.696182 | − | 0.467348i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 4.32470 | − | 7.49061i | 0.155549 | − | 0.269418i | −0.777710 | − | 0.628623i | \(-0.783619\pi\) |
0.933259 | + | 0.359205i | \(0.116952\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 20.9659 | + | 36.3141i | 0.753119 | + | 1.30444i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 5.74931 | + | 12.9903i | 0.206255 | + | 0.466024i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 22.4167 | + | 18.8098i | 0.803161 | + | 0.673932i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.7482 | − | 6.45983i | −0.635081 | − | 0.231151i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 9.95825 | − | 3.94686i | 0.355879 | − | 0.141049i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −28.7352 | − | 10.4588i | −1.02560 | − | 0.373289i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.4595 | − | 16.3285i | −0.693657 | − | 0.582047i | 0.226304 | − | 0.974057i | \(-0.427336\pi\) |
−0.919961 | + | 0.392010i | \(0.871780\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 14.0593 | − | 19.2614i | 0.500526 | − | 0.685725i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −20.5377 | − | 35.5723i | −0.730235 | − | 1.26480i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.41066 | − | 4.17538i | 0.0856049 | − | 0.148272i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 3.28624 | + | 48.5354i | 0.116551 | + | 1.72137i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 15.9926 | − | 5.82083i | 0.566487 | − | 0.206184i | −0.0428697 | − | 0.999081i | \(-0.513650\pi\) |
0.609357 | + | 0.792896i | \(0.291428\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.29463 | + | 30.0274i | 0.187311 | + | 1.06229i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7.11742 | + | 4.49129i | 0.251482 | + | 0.158692i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 28.1346 | − | 23.6077i | 0.992848 | − | 0.833098i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −9.35905 | + | 53.0778i | −0.329863 | + | 1.87075i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 15.1663 | − | 3.74583i | 0.533878 | − | 0.131859i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −17.0805 | −0.600518 | −0.300259 | − | 0.953858i | \(-0.597073\pi\) | ||||
−0.300259 | + | 0.953858i | \(0.597073\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 42.6593 | 1.49797 | 0.748986 | − | 0.662586i | \(-0.230541\pi\) | ||||
0.748986 | + | 0.662586i | \(0.230541\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.44966 | + | 0.605026i | −0.0859133 | + | 0.0212192i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 6.31046 | − | 35.7884i | 0.221046 | − | 1.25361i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 46.9966 | − | 39.4348i | 1.64420 | − | 1.37965i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.73566 | + | 44.1159i | −0.0606489 | + | 1.54154i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.591469 | + | 3.35439i | 0.0206424 | + | 0.117069i | 0.993388 | − | 0.114807i | \(-0.0366249\pi\) |
−0.972745 | + | 0.231876i | \(0.925514\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 31.4685 | − | 11.4536i | 1.09692 | − | 0.399247i | 0.270741 | − | 0.962652i | \(-0.412731\pi\) |
0.826181 | + | 0.563405i | \(0.190509\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.10583 | + | 31.1015i | 0.0733155 | + | 1.08282i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −16.4421 | + | 28.4785i | −0.571747 | + | 0.990294i | 0.424640 | + | 0.905362i | \(0.360401\pi\) |
−0.996387 | + | 0.0849320i | \(0.972933\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.8827 | + | 22.3135i | 0.447434 | + | 0.774978i | 0.998218 | − | 0.0596693i | \(-0.0190046\pi\) |
−0.550784 | + | 0.834648i | \(0.685671\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −4.09852 | + | 5.61501i | −0.142176 | + | 0.194783i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 1.05383 | + | 0.884267i | 0.0365130 | + | 0.0306380i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 38.2126 | + | 13.9082i | 1.32240 | + | 0.481315i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 39.0452 | − | 1.10458i | 1.34960 | − | 0.0381798i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 9.03050 | + | 3.28683i | 0.311767 | + | 0.113474i | 0.493165 | − | 0.869936i | \(-0.335840\pi\) |
−0.181398 | + | 0.983410i | \(0.558062\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −18.9598 | − | 15.9091i | −0.653785 | − | 0.548590i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 14.7721 | + | 33.3769i | 0.508779 | + | 1.14956i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 27.5335 | + | 47.6894i | 0.947181 | + | 1.64057i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.793282 | + | 1.37400i | −0.0272575 | + | 0.0472114i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −31.6485 | + | 21.2456i | −1.08617 | + | 0.729149i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 17.6502 | − | 6.42415i | 0.605041 | − | 0.220217i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 9.01467 | + | 51.1248i | 0.308657 | + | 1.75048i | 0.605773 | + | 0.795637i | \(0.292864\pi\) |
−0.297117 | + | 0.954841i | \(0.596025\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −41.6032 | + | 45.7967i | −1.42280 | + | 1.56621i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 7.34872 | − | 6.16631i | 0.251028 | − | 0.210637i | −0.508587 | − | 0.861011i | \(-0.669832\pi\) |
0.759615 | + | 0.650373i | \(0.225388\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.78620 | − | 32.8151i | 0.197422 | − | 1.11964i | −0.711504 | − | 0.702682i | \(-0.751986\pi\) |
0.908927 | − | 0.416956i | \(-0.136903\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 5.97206 | − | 20.6548i | 0.203527 | − | 0.703913i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −44.0499 | −1.49948 | −0.749738 | − | 0.661735i | \(-0.769820\pi\) | ||||
−0.749738 | + | 0.661735i | \(0.769820\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 33.9747 | 1.15517 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 20.3957 | + | 21.2139i | 0.692675 | + | 0.720462i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.58865 | + | 20.3523i | −0.121737 | + | 0.690404i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.80277 | − | 2.35180i | 0.0949683 | − | 0.0796878i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −15.5689 | − | 20.1097i | −0.526926 | − | 0.680609i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.878231 | + | 4.98070i | 0.0296896 | + | 0.168378i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −18.1318 | + | 6.59944i | −0.612267 | + | 0.222847i | −0.629495 | − | 0.777004i | \(-0.716738\pi\) |
0.0172276 | + | 0.999852i | \(0.494516\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 42.0073 | + | 20.6033i | 1.41687 | + | 0.694932i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −7.27852 | + | 12.6068i | −0.245219 | + | 0.424733i | −0.962193 | − | 0.272368i | \(-0.912193\pi\) |
0.716974 | + | 0.697100i | \(0.245527\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.4464 | + | 19.8257i | 0.385202 | + | 0.667189i | 0.991797 | − | 0.127822i | \(-0.0407985\pi\) |
−0.606595 | + | 0.795011i | \(0.707465\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 57.9225 | + | 6.21724i | 1.94704 | + | 0.208990i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 24.1934 | + | 20.3007i | 0.812334 | + | 0.681629i | 0.951164 | − | 0.308687i | \(-0.0998895\pi\) |
−0.138829 | + | 0.990316i | \(0.544334\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −38.2187 | − | 13.9105i | −1.28181 | − | 0.466542i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 26.4225 | + | 12.0448i | 0.885187 | + | 0.403516i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 31.1634 | + | 11.3425i | 1.04284 | + | 0.379564i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −28.6457 | − | 24.0366i | −0.957521 | − | 0.803455i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 58.0424 | + | 6.23011i | 1.93798 | + | 0.208017i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 7.74843 | + | 13.4207i | 0.258425 | + | 0.447605i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 25.1730 | − | 43.6009i | 0.838635 | − | 1.45256i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −40.4708 | − | 19.8497i | −1.34678 | − | 0.660555i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −39.2193 | + | 14.2747i | −1.30370 | + | 0.474506i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.80643 | + | 32.9299i | 0.192799 | + | 1.09342i | 0.915518 | + | 0.402277i | \(0.131781\pi\) |
−0.722718 | + | 0.691143i | \(0.757108\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 1.12206 | − | 2.74227i | 0.0372164 | − | 0.0909553i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 8.58327 | − | 7.20222i | 0.284376 | − | 0.238620i | −0.489430 | − | 0.872043i | \(-0.662795\pi\) |
0.773806 | + | 0.633423i | \(0.218351\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.64104 | + | 31.9920i | −0.186691 | + | 1.05878i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −3.44067 | − | 3.57870i | −0.113745 | − | 0.118308i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 12.4338 | 0.410600 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −8.04947 | −0.265527 | −0.132764 | − | 0.991148i | \(-0.542385\pi\) | ||||
−0.132764 | + | 0.991148i | \(0.542385\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −4.63255 | + | 16.0220i | −0.152648 | + | 0.527944i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −5.56125 | + | 31.5394i | −0.183051 | + | 1.03813i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 13.0285 | − | 10.9322i | 0.428373 | − | 0.359448i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −8.69100 | − | 27.1556i | −0.285450 | − | 0.891908i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.72177 | − | 15.4359i | −0.0892985 | − | 0.506437i | −0.996346 | − | 0.0854086i | \(-0.972780\pi\) |
0.907048 | − | 0.421028i | \(-0.138331\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.40603 | − | 0.511753i | 0.0460808 | − | 0.0167720i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.328066 | − | 0.220231i | 0.0107404 | − | 0.00721003i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 30.5901 | − | 52.9836i | 1.00040 | − | 1.73275i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −28.6918 | − | 49.6956i | −0.937320 | − | 1.62349i | −0.770444 | − | 0.637508i | \(-0.779965\pi\) |
−0.166876 | − | 0.985978i | \(-0.553368\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −20.9027 | − | 47.2287i | −0.682134 | − | 1.54125i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 42.8893 | + | 35.9884i | 1.39815 | + | 1.17319i | 0.961913 | + | 0.273355i | \(0.0881333\pi\) |
0.436236 | + | 0.899832i | \(0.356311\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −26.7142 | − | 9.72317i | −0.869934 | − | 0.316630i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 43.1414 | + | 14.3341i | 1.40339 | + | 0.466290i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −4.45385 | − | 1.62107i | −0.144731 | − | 0.0526776i | 0.268639 | − | 0.963241i | \(-0.413426\pi\) |
−0.413370 | + | 0.910563i | \(0.635648\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −47.7060 | − | 40.0301i | −1.54860 | − | 1.29943i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 7.97684 | − | 10.9283i | 0.258667 | − | 0.354376i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −11.0214 | − | 19.0896i | −0.357018 | − | 0.618373i | 0.630443 | − | 0.776235i | \(-0.282873\pi\) |
−0.987461 | + | 0.157862i | \(0.949540\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −30.9270 | + | 53.5672i | −1.00078 | + | 1.73339i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.778256 | + | 11.4943i | 0.0251574 | + | 0.371557i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1.59561 | − | 0.580753i | 0.0515248 | − | 0.0187535i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 4.42964 | + | 25.1217i | 0.142892 | + | 0.810378i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 9.41177 | − | 4.95113i | 0.303290 | − | 0.159548i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 12.7149 | − | 10.6691i | 0.409307 | − | 0.343449i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.57065 | − | 20.2502i | 0.114824 | − | 0.651202i | −0.872012 | − | 0.489484i | \(-0.837185\pi\) |
0.986837 | − | 0.161718i | \(-0.0517036\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 62.1658 | − | 15.3539i | 1.99705 | − | 0.493240i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −14.6328 | −0.469590 | −0.234795 | − | 0.972045i | \(-0.575442\pi\) | ||||
−0.234795 | + | 0.972045i | \(0.575442\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −48.1948 | −1.54506 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 51.3156 | − | 12.6741i | 1.64341 | − | 0.405897i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 7.78445 | − | 44.1478i | 0.249047 | − | 1.41241i | −0.561857 | − | 0.827234i | \(-0.689913\pi\) |
0.810904 | − | 0.585180i | \(-0.198976\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.93376 | + | 5.81812i | −0.221604 | + | 0.185948i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −39.2346 | + | 20.6396i | −1.25266 | + | 0.658973i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 4.65731 | + | 26.4129i | 0.148545 | + | 0.842442i | 0.964452 | + | 0.264258i | \(0.0851272\pi\) |
−0.815907 | + | 0.578184i | \(0.803762\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −30.2754 | + | 11.0193i | −0.964654 | + | 0.351105i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.64606 | − | 24.3110i | −0.0523946 | − | 0.773829i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −29.8004 | + | 51.6157i | −0.947596 | + | 1.64129i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −12.9156 | − | 22.3704i | −0.410277 | − | 0.710620i | 0.584643 | − | 0.811291i | \(-0.301235\pi\) |
−0.994920 | + | 0.100671i | \(0.967901\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.21805 | + | 8.51879i | −0.197324 | + | 0.270336i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 24.7389 | + | 20.7584i | 0.784277 | + | 0.658087i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.37253 | + | 2.31941i | 0.201820 | + | 0.0734565i | 0.440952 | − | 0.897530i | \(-0.354641\pi\) |
−0.239132 | + | 0.970987i | \(0.576863\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −3.19121 | − | 15.5182i | −0.100965 | − | 0.490975i |
(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.d.193.2 | ✓ | 60 | |
4.3 | odd | 2 | inner | 864.2.y.d.193.9 | yes | 60 | |
27.7 | even | 9 | inner | 864.2.y.d.385.2 | yes | 60 | |
108.7 | odd | 18 | inner | 864.2.y.d.385.9 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.d.193.2 | ✓ | 60 | 1.1 | even | 1 | trivial | |
864.2.y.d.193.9 | yes | 60 | 4.3 | odd | 2 | inner | |
864.2.y.d.385.2 | yes | 60 | 27.7 | even | 9 | inner | |
864.2.y.d.385.9 | yes | 60 | 108.7 | odd | 18 | inner |