Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(49,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 0, 46]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.y (of order \(33\), degree \(20\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 73.2 | ||
Character | \(\chi\) | \(=\) | 804.73 |
Dual form | 804.2.y.b.793.2 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{20}{33}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −0.415415 | + | 0.909632i | −0.239840 | + | 0.525176i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.98933 | − | 0.584119i | −0.889653 | − | 0.261226i | −0.195200 | − | 0.980763i | \(-0.562536\pi\) |
−0.694453 | + | 0.719538i | \(0.744354\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.45645 | − | 0.280708i | 0.550487 | − | 0.106098i | 0.0935796 | − | 0.995612i | \(-0.470169\pi\) |
0.456908 | + | 0.889514i | \(0.348957\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.875823 | + | 0.835095i | −0.264070 | + | 0.251791i | −0.810533 | − | 0.585693i | \(-0.800823\pi\) |
0.546463 | + | 0.837483i | \(0.315974\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0865958 | − | 1.81787i | 0.0240174 | − | 0.504187i | −0.954524 | − | 0.298135i | \(-0.903635\pi\) |
0.978541 | − | 0.206052i | \(-0.0660615\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.35773 | − | 1.56690i | 0.350564 | − | 0.404573i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.57862 | + | 3.60066i | −1.11048 | + | 0.873289i | −0.992803 | − | 0.119763i | \(-0.961787\pi\) |
−0.117675 | + | 0.993052i | \(0.537544\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.94659 | − | 0.375175i | −0.446578 | − | 0.0860709i | −0.0389960 | − | 0.999239i | \(-0.512416\pi\) |
−0.407582 | + | 0.913168i | \(0.633628\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.349691 | + | 1.44145i | −0.0763089 | + | 0.314549i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.82426 | + | 0.365173i | −0.797414 | + | 0.0761438i | −0.485806 | − | 0.874067i | \(-0.661474\pi\) |
−0.311608 | + | 0.950211i | \(0.600868\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.590046 | − | 0.379199i | −0.118009 | − | 0.0758399i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.959493 | − | 0.281733i | 0.184655 | − | 0.0542195i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.66371 | − | 2.88163i | 0.308943 | − | 0.535105i | −0.669188 | − | 0.743093i | \(-0.733358\pi\) |
0.978131 | + | 0.207988i | \(0.0666914\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.106537 | − | 2.23649i | −0.0191347 | − | 0.401686i | −0.988035 | − | 0.154233i | \(-0.950709\pi\) |
0.968900 | − | 0.247453i | \(-0.0795936\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.395799 | − | 1.14359i | −0.0688998 | − | 0.199073i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.06133 | − | 0.292321i | −0.517459 | − | 0.0494113i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.40770 | − | 5.90231i | −0.560222 | − | 0.970334i | −0.997477 | − | 0.0709956i | \(-0.977382\pi\) |
0.437254 | − | 0.899338i | \(-0.355951\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.61762 | + | 0.833941i | 0.259027 | + | 0.133537i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −11.1387 | − | 4.45926i | −1.73957 | − | 0.696419i | −0.999720 | − | 0.0236464i | \(-0.992472\pi\) |
−0.739850 | − | 0.672772i | \(-0.765103\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.31227 | − | 9.12705i | −0.200120 | − | 1.39186i | −0.803925 | − | 0.594730i | \(-0.797259\pi\) |
0.603806 | − | 0.797131i | \(-0.293650\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.861284 | + | 1.88595i | 0.128393 | + | 0.281141i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.50381 | + | 2.11180i | 0.219353 | + | 0.308038i | 0.909559 | − | 0.415575i | \(-0.136420\pi\) |
−0.690206 | + | 0.723613i | \(0.742480\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.45612 | + | 1.78396i | −0.636588 | + | 0.254851i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.37325 | − | 5.66063i | −0.192294 | − | 0.792646i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.940432 | + | 6.54085i | −0.129178 | + | 0.898454i | 0.817421 | + | 0.576041i | \(0.195403\pi\) |
−0.946599 | + | 0.322413i | \(0.895506\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.23009 | − | 1.14969i | 0.300705 | − | 0.155024i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.14991 | − | 1.61483i | 0.152310 | − | 0.213889i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.71618 | − | 3.67357i | 0.744183 | − | 0.478258i | −0.112790 | − | 0.993619i | \(-0.535979\pi\) |
0.856973 | + | 0.515361i | \(0.172342\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.70773 | + | 5.44231i | 0.730800 | + | 0.696817i | 0.961068 | − | 0.276310i | \(-0.0891118\pi\) |
−0.230268 | + | 0.973127i | \(0.573960\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.16592 | − | 0.916889i | −0.146892 | − | 0.115517i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.23412 | + | 3.56575i | −0.153074 | + | 0.442277i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.94150 | − | 5.63015i | −0.725870 | − | 0.687832i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.25648 | − | 3.63037i | 0.151263 | − | 0.437045i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.08998 | − | 7.14844i | −1.07878 | − | 0.848364i | −0.0897357 | − | 0.995966i | \(-0.528602\pi\) |
−0.989047 | + | 0.147602i | \(0.952845\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.69359 | + | 8.28933i | 1.01751 | + | 0.970192i | 0.999560 | − | 0.0296468i | \(-0.00943824\pi\) |
0.0179478 | + | 0.999839i | \(0.494287\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.590046 | − | 0.379199i | 0.0681326 | − | 0.0437862i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.04118 | + | 1.46213i | −0.118653 | + | 0.166625i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.62828 | + | 1.87051i | −0.408214 | + | 0.210449i | −0.650088 | − | 0.759859i | \(-0.725268\pi\) |
0.241875 | + | 0.970308i | \(0.422238\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.16023 | − | 4.78254i | −0.127352 | − | 0.524952i | −0.999370 | − | 0.0354788i | \(-0.988704\pi\) |
0.872019 | − | 0.489473i | \(-0.162811\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 11.2116 | − | 4.48844i | 1.21607 | − | 0.486839i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.93009 | + | 2.71043i | 0.206928 | + | 0.290589i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.134913 | − | 0.295419i | −0.0143008 | − | 0.0313144i | 0.902347 | − | 0.431011i | \(-0.141843\pi\) |
−0.916648 | + | 0.399696i | \(0.869116\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.384169 | − | 2.67195i | −0.0402718 | − | 0.280097i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.07864 | + | 0.832163i | 0.215545 | + | 0.0862912i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.65326 | + | 1.88338i | 0.374816 | + | 0.193231i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.558643 | − | 0.967597i | −0.0567216 | − | 0.0982446i | 0.836270 | − | 0.548317i | \(-0.184731\pi\) |
−0.892992 | + | 0.450073i | \(0.851398\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.20466 | + | 0.115032i | 0.121073 | + | 0.0115611i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.820341 | + | 2.37022i | 0.0816270 | + | 0.235846i | 0.978428 | − | 0.206589i | \(-0.0662362\pi\) |
−0.896801 | + | 0.442434i | \(0.854115\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.397650 | + | 8.34771i | 0.0391817 | + | 0.822524i | 0.929865 | + | 0.367900i | \(0.119923\pi\) |
−0.890684 | + | 0.454624i | \(0.849774\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.53763 | − | 2.66325i | 0.150057 | − | 0.259906i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.42680 | + | 0.418946i | −0.137934 | + | 0.0405010i | −0.349971 | − | 0.936761i | \(-0.613808\pi\) |
0.212037 | + | 0.977262i | \(0.431990\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.65922 | + | 2.99430i | 0.446272 | + | 0.286802i | 0.744412 | − | 0.667721i | \(-0.232730\pi\) |
−0.298140 | + | 0.954522i | \(0.596366\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.78454 | − | 0.647845i | 0.643960 | − | 0.0614907i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −3.33489 | + | 13.7466i | −0.313720 | + | 1.29317i | 0.568635 | + | 0.822590i | \(0.307472\pi\) |
−0.882356 | + | 0.470583i | \(0.844044\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.82101 | + | 1.50738i | 0.729313 | + | 0.140564i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.43056 | + | 1.12501i | −0.132256 | + | 0.104007i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.65780 | + | 6.52945i | −0.518650 | + | 0.598554i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.453720 | + | 9.52475i | −0.0412473 | + | 0.865886i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.68346 | − | 8.27966i | 0.782961 | − | 0.746552i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 7.74094 | + | 8.93352i | 0.692371 | + | 0.799038i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −19.9697 | + | 3.84884i | −1.77202 | + | 0.341529i | −0.967592 | − | 0.252518i | \(-0.918741\pi\) |
−0.804430 | + | 0.594047i | \(0.797529\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 8.84739 | + | 2.59783i | 0.778969 | + | 0.228726i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.70092 | − | 8.10389i | 0.323351 | − | 0.708040i | −0.676239 | − | 0.736683i | \(-0.736391\pi\) |
0.999590 | + | 0.0286426i | \(0.00911846\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.94043 | −0.254968 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.07331 | −0.178442 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.136365 | − | 0.298599i | 0.0116505 | − | 0.0255110i | −0.903717 | − | 0.428130i | \(-0.859173\pi\) |
0.915368 | + | 0.402619i | \(0.131900\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.41133 | + | 1.29528i | 0.374164 | + | 0.109865i | 0.463407 | − | 0.886145i | \(-0.346627\pi\) |
−0.0892431 | + | 0.996010i | \(0.528445\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.54566 | + | 0.490636i | −0.214384 | + | 0.0413190i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.44225 | + | 1.66445i | 0.120607 | + | 0.139188i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.99287 | + | 4.76069i | −0.414635 | + | 0.395354i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.228391 | − | 4.79451i | 0.0188373 | − | 0.395445i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −10.3702 | + | 11.9679i | −0.849564 | + | 0.980449i | −0.999967 | − | 0.00817582i | \(-0.997398\pi\) |
0.150403 | + | 0.988625i | \(0.451943\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.4807 | − | 8.24210i | 0.852906 | − | 0.670733i | −0.0928253 | − | 0.995682i | \(-0.529590\pi\) |
0.945731 | + | 0.324950i | \(0.105347\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 5.71956 | + | 1.10235i | 0.462399 | + | 0.0891201i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.09444 | + | 4.51134i | −0.0879075 | + | 0.362360i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.9904 | − | 1.04946i | 0.877131 | − | 0.0837558i | 0.353231 | − | 0.935536i | \(-0.385083\pi\) |
0.523899 | + | 0.851780i | \(0.324477\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.55909 | − | 3.57261i | −0.440865 | − | 0.283327i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −5.46735 | + | 1.60536i | −0.430888 | + | 0.126520i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.78055 | − | 4.81606i | 0.217790 | − | 0.377223i | −0.736342 | − | 0.676609i | \(-0.763449\pi\) |
0.954132 | + | 0.299386i | \(0.0967820\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.119383 | + | 2.50616i | 0.00929397 | + | 0.195104i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.362187 | + | 1.04647i | 0.0280269 | + | 0.0809784i | 0.958146 | − | 0.286278i | \(-0.0924182\pi\) |
−0.930120 | + | 0.367257i | \(0.880297\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.64398 | + | 0.920888i | 0.741845 | + | 0.0708376i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.991208 | + | 1.71682i | 0.0757995 | + | 0.131289i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −5.65149 | − | 2.91354i | −0.429675 | − | 0.221513i | 0.229802 | − | 0.973237i | \(-0.426192\pi\) |
−0.659477 | + | 0.751725i | \(0.729222\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.965818 | − | 0.386655i | −0.0730090 | − | 0.0292284i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.967006 | + | 6.72568i | 0.0726846 | + | 0.505533i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.44208 | − | 3.15772i | −0.107786 | − | 0.236019i | 0.848051 | − | 0.529914i | \(-0.177776\pi\) |
−0.955838 | + | 0.293895i | \(0.905049\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.97164 | − | 4.17308i | −0.220880 | − | 0.310183i | 0.689235 | − | 0.724538i | \(-0.257947\pi\) |
−0.910115 | + | 0.414355i | \(0.864007\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7.32158 | + | 2.93112i | −0.541227 | + | 0.216675i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 3.33137 | + | 13.7321i | 0.244928 | + | 1.00961i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.00316 | − | 6.97713i | 0.0733583 | − | 0.510218i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.31837 | − | 0.679668i | 0.0958974 | − | 0.0494386i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.84737 | − | 6.80718i | 0.350744 | − | 0.492550i | −0.601083 | − | 0.799186i | \(-0.705264\pi\) |
0.951827 | + | 0.306636i | \(0.0992034\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.53306 | − | 1.62790i | 0.182334 | − | 0.117179i | −0.446290 | − | 0.894889i | \(-0.647255\pi\) |
0.628624 | + | 0.777710i | \(0.283619\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.73085 | − | 2.60386i | −0.195560 | − | 0.186466i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −6.16021 | − | 4.84444i | −0.438897 | − | 0.345152i | 0.374132 | − | 0.927375i | \(-0.377941\pi\) |
−0.813029 | + | 0.582223i | \(0.802183\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.740339 | + | 2.13907i | −0.0524812 | + | 0.151635i | −0.968195 | − | 0.250196i | \(-0.919505\pi\) |
0.915714 | + | 0.401831i | \(0.131626\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 7.58955 | − | 3.06573i | 0.535326 | − | 0.216240i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.61422 | − | 4.66397i | 0.113296 | − | 0.327347i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 19.5537 | + | 15.3772i | 1.36569 | + | 1.07399i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.78034 | + | 2.65105i | 0.193247 | + | 0.184261i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 2.01817 | − | 1.29700i | 0.139600 | − | 0.0897155i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.23403 | − | 10.1588i | 0.498011 | − | 0.699359i | −0.486697 | − | 0.873571i | \(-0.661798\pi\) |
0.984708 | + | 0.174212i | \(0.0557378\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 10.2786 | − | 5.29897i | 0.704276 | − | 0.363079i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −2.72074 | + | 18.9232i | −0.185553 | + | 1.29055i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.782968 | − | 3.22744i | −0.0531513 | − | 0.219093i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −11.1517 | + | 4.46446i | −0.753561 | + | 0.301680i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.14905 | + | 8.63514i | 0.413630 | + | 0.580862i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.25303 | + | 15.8819i | 0.485699 | + | 1.06353i | 0.980857 | + | 0.194729i | \(0.0623829\pi\) |
−0.495158 | + | 0.868803i | \(0.664890\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.0998180 | + | 0.694250i | 0.00665453 | + | 0.0462833i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 15.7351 | + | 6.29938i | 1.04437 | + | 0.418105i | 0.829482 | − | 0.558533i | \(-0.188636\pi\) |
0.214892 | + | 0.976638i | \(0.431060\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.1681 | + | 5.75757i | 0.738010 | + | 0.380471i | 0.785877 | − | 0.618383i | \(-0.212212\pi\) |
−0.0478665 | + | 0.998854i | \(0.515242\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.897478 | − | 1.55448i | −0.0590497 | − | 0.102277i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −15.6855 | − | 1.49779i | −1.02759 | − | 0.0981233i | −0.432381 | − | 0.901691i | \(-0.642326\pi\) |
−0.595213 | + | 0.803568i | \(0.702932\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.75802 | − | 5.07946i | −0.114680 | − | 0.331347i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.194232 | − | 4.07744i | −0.0126167 | − | 0.264858i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.73555 | + | 9.93427i | −0.371002 | + | 0.642594i | −0.989720 | − | 0.143019i | \(-0.954319\pi\) |
0.618718 | + | 0.785613i | \(0.287652\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.44401 | + | 2.18576i | −0.479511 | + | 0.140797i | −0.512551 | − | 0.858657i | \(-0.671299\pi\) |
0.0330399 | + | 0.999454i | \(0.489481\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.841254 | − | 0.540641i | −0.0539664 | − | 0.0346821i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 9.90671 | − | 0.945976i | 0.632917 | − | 0.0604362i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.850585 | + | 3.50616i | −0.0541215 | + | 0.223092i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.83233 | + | 0.931354i | 0.306236 | + | 0.0590222i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 11.4445 | − | 9.00008i | 0.722373 | − | 0.568080i | −0.187851 | − | 0.982198i | \(-0.560152\pi\) |
0.910223 | + | 0.414117i | \(0.135910\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.04442 | − | 3.51345i | 0.191401 | − | 0.220889i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.574630 | + | 12.0630i | −0.0359847 | + | 0.755413i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 12.7263 | − | 12.1345i | 0.793847 | − | 0.756932i | −0.180114 | − | 0.983646i | \(-0.557647\pi\) |
0.973961 | + | 0.226714i | \(0.0727983\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.61998 | − | 7.63986i | −0.411346 | − | 0.474718i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.26729 | + | 0.629718i | −0.202240 | + | 0.0389786i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 17.5286 | + | 5.14686i | 1.08086 | + | 0.317369i | 0.773223 | − | 0.634134i | \(-0.218643\pi\) |
0.307638 | + | 0.951504i | \(0.400462\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.69146 | − | 12.4625i | 0.349623 | − | 0.765568i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.324768 | 0.0198755 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −13.2788 | −0.809625 | −0.404813 | − | 0.914400i | \(-0.632663\pi\) | ||||
−0.404813 | + | 0.914400i | \(0.632663\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.20421 | − | 11.3956i | 0.316133 | − | 0.692235i | −0.683143 | − | 0.730285i | \(-0.739387\pi\) |
0.999276 | + | 0.0380496i | \(0.0121145\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.59008 | + | 0.760517i | 0.156759 | + | 0.0460286i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.833443 | − | 0.160633i | 0.0502585 | − | 0.00968653i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.1064 | + | 13.9715i | 0.727400 | + | 0.839465i | 0.992176 | − | 0.124845i | \(-0.0398435\pi\) |
−0.264776 | + | 0.964310i | \(0.585298\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.62046 | + | 1.54511i | −0.0970144 | + | 0.0925031i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.938955 | − | 19.7111i | 0.0560133 | − | 1.17586i | −0.779503 | − | 0.626399i | \(-0.784528\pi\) |
0.835516 | − | 0.549466i | \(-0.185169\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.91512 | + | 3.36422i | −0.173286 | + | 0.199982i | −0.835748 | − | 0.549113i | \(-0.814966\pi\) |
0.662463 | + | 0.749095i | \(0.269511\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −3.23080 | + | 2.54073i | −0.191376 | + | 0.150500i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −17.4747 | − | 3.36798i | −1.03150 | − | 0.198805i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.99105 | − | 16.4513i | 0.234768 | − | 0.967726i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.11223 | − | 0.106205i | 0.0651998 | − | 0.00622583i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −10.5441 | − | 6.77630i | −0.615995 | − | 0.395876i | 0.195106 | − | 0.980782i | \(-0.437495\pi\) |
−0.811101 | + | 0.584906i | \(0.801131\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −13.5171 | + | 3.96899i | −0.786999 | + | 0.231084i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.605072 | + | 1.04802i | −0.0351099 | + | 0.0608120i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.332672 | + | 6.98364i | 0.0192389 | + | 0.403874i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.47330 | − | 12.9247i | −0.257837 | − | 0.744970i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −2.49681 | − | 0.238416i | −0.143438 | − | 0.0136967i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −8.17558 | − | 14.1605i | −0.468133 | − | 0.810829i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −14.9294 | − | 7.69665i | −0.852067 | − | 0.439271i | −0.0238745 | − | 0.999715i | \(-0.507600\pi\) |
−0.828192 | + | 0.560444i | \(0.810631\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.75853 | − | 3.10605i | −0.441368 | − | 0.176697i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.158335 | − | 1.10125i | −0.00897837 | − | 0.0624459i | 0.984840 | − | 0.173467i | \(-0.0554970\pi\) |
−0.993818 | + | 0.111021i | \(0.964588\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.92565 | − | 8.59598i | −0.221891 | − | 0.485873i | 0.765646 | − | 0.643262i | \(-0.222420\pi\) |
−0.987537 | + | 0.157389i | \(0.949692\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.78382 | + | 2.50503i | 0.100507 | + | 0.141142i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0.319012 | − | 0.127713i | 0.0179175 | − | 0.00717308i | −0.362686 | − | 0.931911i | \(-0.618140\pi\) |
0.380604 | + | 0.924738i | \(0.375716\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.949320 | + | 3.91315i | 0.0531517 | + | 0.219094i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.211627 | − | 1.47190i | 0.0118119 | − | 0.0821533i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 10.2636 | − | 5.29124i | 0.571080 | − | 0.294412i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.740431 | + | 1.03979i | −0.0410717 | + | 0.0576771i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −4.65922 | + | 2.99430i | −0.257655 | + | 0.165585i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 2.78302 | + | 2.65361i | 0.153433 | + | 0.146298i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.8168 | − | 11.6521i | −0.814405 | − | 0.640455i | 0.121546 | − | 0.992586i | \(-0.461215\pi\) |
−0.935951 | + | 0.352131i | \(0.885457\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.22910 | + | 6.44056i | −0.122154 | + | 0.352940i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 8.53091 | + | 14.6707i | 0.466093 | + | 0.801548i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.16711 | + | 6.26145i | −0.118050 | + | 0.341083i | −0.988510 | − | 0.151157i | \(-0.951700\pi\) |
0.870460 | + | 0.492239i | \(0.163821\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −11.1190 | − | 8.74408i | −0.603901 | − | 0.474913i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.96099 | + | 1.86980i | 0.106194 | + | 0.101255i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.7239 | + | 9.46249i | −0.795017 | + | 0.510926i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −4.62012 | + | 6.48805i | −0.248739 | + | 0.349305i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 9.21913 | − | 4.75279i | 0.494909 | − | 0.255143i | −0.192656 | − | 0.981266i | \(-0.561710\pi\) |
0.687565 | + | 0.726123i | \(0.258680\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.03558 | + | 21.1129i | −0.162491 | + | 1.13015i | 0.731428 | + | 0.681919i | \(0.238854\pi\) |
−0.893918 | + | 0.448230i | \(0.852055\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.429065 | − | 1.76863i | −0.0229018 | − | 0.0944025i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −7.26908 | + | 2.91010i | −0.386894 | + | 0.154889i | −0.556951 | − | 0.830545i | \(-0.688029\pi\) |
0.170057 | + | 0.985434i | \(0.445605\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 13.9074 | + | 19.5302i | 0.738128 | + | 1.03656i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.58906 | − | 7.85895i | −0.189953 | − | 0.415940i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −2.89114 | − | 20.1083i | −0.152588 | − | 1.06128i | −0.911860 | − | 0.410502i | \(-0.865353\pi\) |
0.759271 | − | 0.650774i | \(-0.225556\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.9905 | − | 5.60096i | −0.736344 | − | 0.294788i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −8.47554 | − | 4.36944i | −0.444850 | − | 0.229336i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −12.4524 | − | 21.5683i | −0.651791 | − | 1.12893i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −21.4427 | − | 2.04753i | −1.11930 | − | 0.106880i | −0.481039 | − | 0.876699i | \(-0.659741\pi\) |
−0.638263 | + | 0.769819i | \(0.720347\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.92421 | + | 11.3382i | 0.204286 | + | 0.590246i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.466375 | + | 9.79042i | 0.0242130 | + | 0.508293i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.52602 | + | 11.3034i | −0.337904 | + | 0.585268i | −0.984038 | − | 0.177956i | \(-0.943051\pi\) |
0.646134 | + | 0.763224i | \(0.276385\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −11.3419 | + | 3.33029i | −0.585694 | + | 0.171975i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −5.09436 | − | 3.27394i | −0.262373 | − | 0.168617i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −10.9758 | + | 1.04806i | −0.563788 | + | 0.0538352i | −0.373059 | − | 0.927808i | \(-0.621691\pi\) |
−0.190729 | + | 0.981643i | \(0.561085\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.79468 | − | 19.7639i | 0.245639 | − | 1.01254i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 8.93409 | + | 1.72190i | 0.456511 | + | 0.0879852i | 0.412322 | − | 0.911038i | \(-0.364718\pi\) |
0.0441882 | + | 0.999023i | \(0.485930\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.92530 | − | 2.30048i | 0.149087 | − | 0.117243i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −6.03841 | + | 6.96869i | −0.306949 | + | 0.354239i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.284617 | − | 5.97484i | 0.0144306 | − | 0.302936i | −0.980101 | − | 0.198500i | \(-0.936393\pi\) |
0.994532 | − | 0.104436i | \(-0.0333039\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 16.1950 | − | 15.4419i | 0.819015 | − | 0.780929i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.83414 | + | 6.73295i | 0.294293 | + | 0.339633i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 8.31043 | − | 1.60170i | 0.418143 | − | 0.0805905i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −35.2096 | − | 10.3385i | −1.76712 | − | 0.518873i | −0.773714 | − | 0.633535i | \(-0.781603\pi\) |
−0.993405 | + | 0.114662i | \(0.963422\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.22150 | − | 2.67471i | 0.0611515 | − | 0.133903i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −26.3343 | −1.31507 | −0.657537 | − | 0.753422i | \(-0.728402\pi\) | ||||
−0.657537 | + | 0.753422i | \(0.728402\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.07488 | −0.202984 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.861284 | − | 1.88595i | 0.0427975 | − | 0.0937135i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.91353 | + | 2.32362i | 0.392259 | + | 0.115178i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.8356 | + | 3.43752i | −0.881911 | + | 0.169974i | −0.610051 | − | 0.792362i | \(-0.708851\pi\) |
−0.271860 | + | 0.962337i | \(0.587639\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.214967 | + | 0.248085i | 0.0106035 | + | 0.0122371i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 7.29415 | − | 6.95496i | 0.358922 | − | 0.342231i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.485492 | + | 10.1917i | −0.0238319 | + | 0.500293i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −3.01077 | + | 3.47461i | −0.147438 | + | 0.170152i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 10.4367 | − | 8.20751i | 0.509866 | − | 0.400963i | −0.329813 | − | 0.944046i | \(-0.606986\pi\) |
0.839679 | + | 0.543083i | \(0.182743\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.83433 | − | 1.70268i | −0.430559 | − | 0.0829835i | −0.0306326 | − | 0.999531i | \(-0.509752\pi\) |
−0.399926 | + | 0.916547i | \(0.630964\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.611208 | − | 2.51943i | 0.0297180 | − | 0.122499i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.06696 | − | 0.388348i | 0.197277 | − | 0.0188376i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.84075 | + | 6.32426i | 0.476227 | + | 0.306053i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −2.11317 | + | 0.620482i | −0.102025 | + | 0.0299572i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 12.7657 | − | 22.1109i | 0.614904 | − | 1.06505i | −0.375497 | − | 0.926824i | \(-0.622528\pi\) |
0.990401 | − | 0.138222i | \(-0.0441387\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.966549 | + | 20.2904i | 0.0464494 | + | 0.975093i | 0.895024 | + | 0.446017i | \(0.147158\pi\) |
−0.848575 | + | 0.529075i | \(0.822539\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.25637 | − | 6.51934i | −0.108184 | − | 0.312578i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 7.58128 | + | 0.723924i | 0.362662 | + | 0.0346300i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −17.5605 | − | 30.4157i | −0.838117 | − | 1.45166i | −0.891467 | − | 0.453086i | \(-0.850323\pi\) |
0.0533496 | − | 0.998576i | \(-0.483010\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.26636 | + | 2.19946i | 0.203160 | + | 0.104736i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −3.63720 | − | 1.45611i | −0.172808 | − | 0.0691821i | 0.283645 | − | 0.958929i | \(-0.408456\pi\) |
−0.456453 | + | 0.889747i | \(0.650881\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.0958269 | + | 0.666491i | 0.00454263 | + | 0.0315947i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −6.57843 | − | 14.4048i | −0.311149 | − | 0.681322i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.66581 | + | 7.95651i | 0.267386 | + | 0.375491i | 0.926338 | − | 0.376694i | \(-0.122939\pi\) |
−0.658952 | + | 0.752185i | \(0.729000\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.4794 | − | 5.39634i | 0.634721 | − | 0.254104i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.14345 | + | 12.9575i | 0.147692 | + | 0.608794i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.796500 | + | 5.53978i | −0.0373405 | + | 0.259709i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 19.4058 | − | 10.0044i | 0.907767 | − | 0.467986i | 0.0599052 | − | 0.998204i | \(-0.480920\pi\) |
0.847861 | + | 0.530218i | \(0.177890\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.37873 | + | 4.74476i | −0.157705 | + | 0.221466i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.67364 | − | 1.07558i | 0.0779493 | − | 0.0500950i | −0.501086 | − | 0.865398i | \(-0.667066\pi\) |
0.579035 | + | 0.815303i | \(0.303429\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 29.2039 | + | 27.8459i | 1.35722 | + | 1.29411i | 0.918464 | + | 0.395504i | \(0.129430\pi\) |
0.438758 | + | 0.898605i | \(0.355418\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.64901 | − | 2.86962i | −0.169219 | − | 0.133075i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −5.41635 | + | 15.6495i | −0.250639 | + | 0.724173i | 0.747561 | + | 0.664193i | \(0.231225\pi\) |
−0.998200 | + | 0.0599799i | \(0.980896\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.2339 | − | 6.53222i | −0.472560 | − | 0.301630i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.61096 | + | 10.4332i | −0.166384 | + | 0.480736i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 8.77127 | + | 6.89780i | 0.403304 | + | 0.317161i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.00631 | + | 0.959516i | 0.0461727 | + | 0.0440256i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.55909 | − | 3.57261i | 0.254533 | − | 0.163579i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 9.58749 | − | 13.4637i | 0.438064 | − | 0.615174i | −0.535239 | − | 0.844701i | \(-0.679778\pi\) |
0.973302 | + | 0.229527i | \(0.0737178\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −11.0247 | + | 5.68364i | −0.502684 | + | 0.259152i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.810934 | − | 5.64017i | 0.0368988 | − | 0.256637i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0.546130 | + | 2.25118i | 0.0247985 | + | 0.102221i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −29.1363 | + | 11.6644i | −1.32029 | + | 0.528566i | −0.921466 | − | 0.388460i | \(-0.873007\pi\) |
−0.398828 | + | 0.917026i | \(0.630583\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 3.22576 | + | 4.52994i | 0.145874 | + | 0.204851i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −16.2252 | − | 35.5283i | −0.732234 | − | 1.60337i | −0.795922 | − | 0.605399i | \(-0.793013\pi\) |
0.0636877 | − | 0.997970i | \(-0.479714\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.75829 | + | 19.1843i | 0.124227 | + | 0.864019i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −2.32928 | − | 0.932503i | −0.104693 | − | 0.0419129i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −15.2458 | − | 7.85974i | −0.683866 | − | 0.352557i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.32237 | − | 10.9507i | −0.283028 | − | 0.490219i | 0.689101 | − | 0.724665i | \(-0.258006\pi\) |
−0.972129 | + | 0.234446i | \(0.924672\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.10236 | − | 0.105263i | −0.0492499 | − | 0.00470280i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 10.3218 | + | 29.8228i | 0.460225 | + | 1.32973i | 0.901662 | + | 0.432442i | \(0.142348\pi\) |
−0.441436 | + | 0.897293i | \(0.645531\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.247436 | − | 5.19432i | −0.0110107 | − | 0.231144i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −4.84392 | + | 8.38992i | −0.215126 | + | 0.372610i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 26.5837 | − | 7.80567i | 1.17830 | − | 0.345980i | 0.366782 | − | 0.930307i | \(-0.380459\pi\) |
0.811519 | + | 0.584326i | \(0.198641\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 14.9887 | + | 9.63265i | 0.663061 | + | 0.426123i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.97344 | + | 0.188441i | −0.0871294 | + | 0.00831985i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 4.08500 | − | 16.8386i | 0.180006 | − | 0.741997i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.08062 | − | 0.593741i | −0.135486 | − | 0.0261127i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.99797 | − | 3.93044i | 0.219386 | − | 0.172527i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 25.9289 | − | 29.9235i | 1.13597 | − | 1.31097i | 0.191826 | − | 0.981429i | \(-0.438559\pi\) |
0.944140 | − | 0.329545i | \(-0.106895\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.435015 | + | 9.13209i | −0.0190219 | + | 0.399319i | 0.969198 | + | 0.246281i | \(0.0792086\pi\) |
−0.988220 | + | 0.153038i | \(0.951094\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.752929 | − | 0.717917i | 0.0328605 | − | 0.0313325i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 8.54065 | + | 9.85644i | 0.372037 | + | 0.429353i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.09273 | + | 1.55975i | −0.351858 | + | 0.0678150i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.51960 | − | 1.91433i | −0.282926 | − | 0.0830747i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −9.07091 | + | 19.8625i | −0.392905 | + | 0.860342i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.08308 | 0.133293 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.47143 | 0.149803 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 2.41299 | − | 5.28372i | 0.103935 | − | 0.227586i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −36.6173 | − | 10.7518i | −1.57430 | − | 0.462257i | −0.626052 | − | 0.779781i | \(-0.715330\pi\) |
−0.948250 | + | 0.317524i | \(0.897149\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 5.03043 | − | 0.969536i | 0.215876 | − | 0.0416068i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −7.51967 | − | 8.67817i | −0.322107 | − | 0.371732i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.44643 | + | 4.23966i | −0.190116 | + | 0.181275i | −0.779159 | − | 0.626827i | \(-0.784353\pi\) |
0.589043 | + | 0.808102i | \(0.299505\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0.375255 | − | 7.87757i | 0.0160155 | − | 0.336207i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −4.31967 | + | 4.98517i | −0.184024 | + | 0.212375i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.75935 | + | 3.74280i | −0.202388 | + | 0.159160i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −13.8751 | − | 2.67420i | −0.588964 | − | 0.113514i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 1.34425 | − | 5.54106i | 0.0569575 | − | 0.234782i | −0.936217 | − | 0.351424i | \(-0.885698\pi\) |
0.993174 | + | 0.116641i | \(0.0372128\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −16.7054 | + | 1.59518i | −0.706564 | + | 0.0674687i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 5.92989 | + | 3.81091i | 0.250360 | + | 0.160897i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −6.26471 | + | 1.83948i | −0.264026 | + | 0.0775250i | −0.411066 | − | 0.911606i | \(-0.634843\pi\) |
0.147040 | + | 0.989131i | \(0.453025\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 14.6638 | − | 25.3985i | 0.616913 | − | 1.06852i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.0705762 | + | 1.48158i | 0.00296392 | + | 0.0622204i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −8.23913 | − | 23.8054i | −0.345402 | − | 0.997975i | −0.975221 | − | 0.221233i | \(-0.928992\pi\) |
0.629819 | − | 0.776742i | \(-0.283129\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.7299 | − | 1.02458i | −0.449032 | − | 0.0428773i | −0.131909 | − | 0.991262i | \(-0.542111\pi\) |
−0.317123 | + | 0.948385i | \(0.602717\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 4.17836 | + | 7.23713i | 0.174553 | + | 0.302336i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.39496 | + | 1.23469i | 0.0998769 | + | 0.0514901i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −27.6391 | − | 11.0650i | −1.15063 | − | 0.460643i | −0.283622 | − | 0.958936i | \(-0.591536\pi\) |
−0.867009 | + | 0.498293i | \(0.833960\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.428518 | + | 2.98041i | 0.0178086 | + | 0.123862i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.03232 | − | 6.63985i | −0.125802 | − | 0.275468i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.63858 | − | 6.51397i | −0.192110 | − | 0.269781i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.50299 | − | 1.40239i | 0.144831 | − | 0.0579816i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −1.65795 | − | 6.83416i | −0.0684309 | − | 0.282076i | 0.927307 | − | 0.374301i | \(-0.122117\pi\) |
−0.995738 | + | 0.0922249i | \(0.970602\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.631690 | + | 4.39350i | −0.0260283 | + | 0.181031i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.96570 | − | 3.59107i | 0.286531 | − | 0.147717i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −15.4682 | + | 21.7220i | −0.635202 | + | 0.892017i | −0.999225 | − | 0.0393733i | \(-0.987464\pi\) |
0.364022 | + | 0.931390i | \(0.381403\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 15.0692 | − | 9.68438i | 0.617777 | − | 0.397021i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −1.63822 | − | 1.56204i | −0.0670478 | − | 0.0639299i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 5.55558 | + | 4.36895i | 0.226995 | + | 0.178511i | 0.725179 | − | 0.688561i | \(-0.241757\pi\) |
−0.498184 | + | 0.867071i | \(0.666000\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.88377 | − | 17.0000i | 0.240004 | − | 0.693446i | −0.759094 | − | 0.650981i | \(-0.774358\pi\) |
0.999098 | − | 0.0424652i | \(-0.0135212\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.364127 | + | 8.17725i | −0.0148284 | + | 0.333003i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 6.46618 | − | 18.6828i | 0.262888 | − | 0.759564i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 29.5713 | + | 23.2552i | 1.20026 | + | 0.943898i | 0.999362 | − | 0.0357135i | \(-0.0113704\pi\) |
0.200902 | + | 0.979611i | \(0.435613\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 3.57193 | + | 3.40583i | 0.144742 | + | 0.138011i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.96920 | − | 2.55085i | 0.160577 | − | 0.103196i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 25.8155 | − | 36.2527i | 1.04268 | − | 1.46423i | 0.164213 | − | 0.986425i | \(-0.447492\pi\) |
0.878464 | − | 0.477809i | \(-0.158569\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −22.1105 | + | 11.3988i | −0.891583 | + | 0.459643i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 6.29218 | − | 43.7631i | 0.253314 | − | 1.76184i | −0.324709 | − | 0.945814i | \(-0.605266\pi\) |
0.578022 | − | 0.816021i | \(-0.303825\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.55701 | + | 39.3945i | 0.384129 | + | 1.58340i | 0.755650 | + | 0.654975i | \(0.227321\pi\) |
−0.371522 | + | 0.928424i | \(0.621164\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.56647 | + | 1.42780i | −0.143118 | + | 0.0572956i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.279422 | − | 0.392393i | −0.0111948 | − | 0.0157209i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.72418 | − | 19.1033i | −0.348967 | − | 0.764131i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.341415 | + | 2.37459i | 0.0136348 | + | 0.0948320i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 36.8548 | + | 14.7544i | 1.46950 | + | 0.588298i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −27.1838 | − | 14.0142i | −1.08217 | − | 0.557897i | −0.177547 | − | 0.984112i | \(-0.556816\pi\) |
−0.904622 | + | 0.426215i | \(0.859847\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 6.23562 | + | 10.8004i | 0.247844 | + | 0.429278i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 41.9744 | + | 4.00807i | 1.66570 | + | 0.159055i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.85713 | + | 8.25513i | 0.113204 | + | 0.327080i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.550241 | + | 11.5510i | 0.0217672 | + | 0.456950i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −16.3079 | + | 28.2461i | −0.644123 | + | 1.11565i | 0.340380 | + | 0.940288i | \(0.389444\pi\) |
−0.984503 | + | 0.175366i | \(0.943889\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 29.2917 | − | 8.60083i | 1.15515 | − | 0.339184i | 0.352606 | − | 0.935772i | \(-0.385296\pi\) |
0.802548 | + | 0.596588i | \(0.203477\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −16.0829 | − | 10.3359i | −0.633264 | − | 0.406974i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 5.51082 | − | 0.526219i | 0.216653 | − | 0.0206878i | 0.0138347 | − | 0.999904i | \(-0.495596\pi\) |
0.202818 | + | 0.979216i | \(0.434990\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.93858 | + | 7.99095i | −0.0760961 | + | 0.313672i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 3.26104 | + | 0.628514i | 0.127810 | + | 0.0246334i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −30.2122 | + | 23.7591i | −1.18229 | + | 0.929766i | −0.998583 | − | 0.0532138i | \(-0.983054\pi\) |
−0.183711 | + | 0.982980i | \(0.558811\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.0960 | + | 13.9595i | −0.472629 | + | 0.545443i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.571561 | − | 11.9985i | 0.0222987 | − | 0.468107i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 18.3826 | − | 17.5278i | 0.716086 | − | 0.682787i | −0.241673 | − | 0.970358i | \(-0.577696\pi\) |
0.957759 | + | 0.287571i | \(0.0928477\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.3585 | + | 24.6490i | 0.830750 | + | 0.958736i | 0.999638 | − | 0.0268988i | \(-0.00856317\pi\) |
−0.168888 | + | 0.985635i | \(0.554018\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −10.4092 | + | 2.00621i | −0.404260 | + | 0.0779147i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 5.84948 | + | 1.71756i | 0.226833 | + | 0.0666042i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.31017 | + | 11.6276i | −0.205610 | + | 0.450224i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −17.4597 | −0.675032 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.54381 | −0.368435 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.7354 | + | 41.0248i | −0.722196 | + | 1.58139i | 0.0886051 | + | 0.996067i | \(0.471759\pi\) |
−0.810801 | + | 0.585322i | \(0.800968\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.672977 | − | 0.197604i | −0.0259029 | − | 0.00760578i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 18.5643 | − | 3.57797i | 0.713483 | − | 0.137513i | 0.180422 | − | 0.983589i | \(-0.442254\pi\) |
0.533061 | + | 0.846077i | \(0.321041\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.08525 | − | 1.25244i | −0.0416480 | − | 0.0480644i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −12.2667 | + | 11.6963i | −0.470061 | + | 0.448203i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −0.338595 | + | 7.10799i | −0.0129560 | + | 0.271980i | 0.983089 | + | 0.183129i | \(0.0586225\pi\) |
−0.996045 | + | 0.0888509i | \(0.971681\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.445692 | + | 0.514356i | −0.0170290 | + | 0.0196525i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −9.87667 | + | 7.76710i | −0.376819 | + | 0.296333i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 11.8090 | + | 2.27599i | 0.449886 | + | 0.0867084i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.121847 | − | 0.502261i | 0.00463528 | − | 0.0191069i | −0.969447 | − | 0.245301i | \(-0.921113\pi\) |
0.974082 | + | 0.226194i | \(0.0726284\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.78683 | − | 0.170621i | 0.0678760 | − | 0.00648137i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −8.01898 | − | 5.15348i | −0.304177 | − | 0.195483i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 67.0561 | − | 19.6894i | 2.53993 | − | 0.745790i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 7.87845 | − | 13.6459i | 0.297990 | − | 0.516134i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.118521 | + | 2.48806i | 0.00447647 | + | 0.0939727i | 1.00000 | 0.000542904i | \(-0.000172812\pi\) | |
−0.995523 | + | 0.0945156i | \(0.969870\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.41900 | + | 12.7679i | 0.166666 | + | 0.481549i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 5.35074 | + | 0.510934i | 0.201521 | + | 0.0192429i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.86013 | + | 3.22184i | 0.0699573 | + | 0.121170i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −30.3153 | − | 15.6286i | −1.13851 | − | 0.586945i | −0.217340 | − | 0.976096i | \(-0.569738\pi\) |
−0.921174 | + | 0.389151i | \(0.872768\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.78966 | + | 1.51715i | 0.142123 | + | 0.0568976i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.22413 | + | 8.51403i | 0.0458441 | + | 0.318853i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.89687 | − | 4.15358i | −0.0709391 | − | 0.155335i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −6.65389 | − | 9.34409i | −0.248494 | − | 0.348961i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 14.4303 | − | 5.77702i | 0.538159 | − | 0.215446i | −0.0866292 | − | 0.996241i | \(-0.527610\pi\) |
0.624788 | + | 0.780794i | \(0.285185\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.92243 | + | 12.0464i | 0.108837 | + | 0.448632i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.10412 | − | 7.67931i | 0.0410626 | − | 0.285596i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.07438 | + | 1.06941i | −0.0770404 | + | 0.0397171i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.6240 | − | 21.9408i | 0.579461 | − | 0.813740i | −0.415954 | − | 0.909386i | \(-0.636552\pi\) |
0.995415 | + | 0.0956459i | \(0.0304916\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 38.8718 | + | 37.0642i | 1.43773 | + | 1.37087i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.46056 | + | 1.93501i | 0.0908829 | + | 0.0714711i | 0.662567 | − | 0.749003i | \(-0.269467\pi\) |
−0.571684 | + | 0.820474i | \(0.693710\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.25491 | + | 9.40444i | −0.120059 | + | 0.346888i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 9.90541 | − | 0.0307075i | 0.364871 | − | 0.00113113i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10.2594 | − | 29.6426i | 0.377398 | − | 1.09042i | −0.583164 | − | 0.812355i | \(-0.698185\pi\) |
0.960562 | − | 0.278066i | \(-0.0896934\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.83597 | − | 2.23023i | −0.104182 | − | 0.0819296i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 25.8736 | + | 24.6704i | 0.949211 | + | 0.905070i | 0.995586 | − | 0.0938537i | \(-0.0299186\pi\) |
−0.0463755 | + | 0.998924i | \(0.514767\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 27.6205 | − | 17.7506i | 1.01194 | − | 0.650332i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −2.85461 | + | 4.00874i | −0.104445 | + | 0.146672i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.96046 | + | 1.01069i | −0.0716337 | + | 0.0369298i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.87031 | + | 47.7841i | −0.250701 | + | 1.74367i | 0.343322 | + | 0.939218i | \(0.388448\pi\) |
−0.594024 | + | 0.804448i | \(0.702461\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 3.43253 | + | 14.1491i | 0.125088 | + | 0.515621i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −25.6639 | + | 10.2743i | −0.934003 | + | 0.373919i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 24.1544 | + | 33.9200i | 0.877905 | + | 1.23284i | 0.971453 | + | 0.237230i | \(0.0762395\pi\) |
−0.0935487 | + | 0.995615i | \(0.529821\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.93125 | + | 4.22884i | 0.0700999 | + | 0.153497i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −4.89234 | − | 34.0269i | −0.177347 | − | 1.23348i | −0.862870 | − | 0.505425i | \(-0.831336\pi\) |
0.685523 | − | 0.728051i | \(-0.259573\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.62645 | + | 3.05317i | 0.276096 | + | 0.110532i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −10.7342 | − | 5.53384i | −0.388094 | − | 0.200076i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −6.18307 | − | 10.7094i | −0.223258 | − | 0.386694i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.2626 | + | 1.26643i | 0.478262 | + | 0.0456685i | 0.331404 | − | 0.943489i | \(-0.392478\pi\) |
0.146858 | + | 0.989158i | \(0.453084\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.75125 | + | 16.6172i | 0.207126 | + | 0.598452i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 2.22124 | + | 46.6295i | 0.0798923 | + | 1.67715i | 0.582653 | + | 0.812721i | \(0.302014\pi\) |
−0.502761 | + | 0.864425i | \(0.667682\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.785214 | + | 1.36003i | −0.0282057 | + | 0.0488538i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 9.69950 | − | 2.84803i | 0.347968 | − | 0.102173i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 20.0095 | + | 12.8593i | 0.716913 | + | 0.460732i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 13.9308 | − | 1.33023i | 0.498485 | − | 0.0475995i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.784468 | − | 3.23362i | 0.0280346 | − | 0.115560i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −22.4765 | − | 4.33200i | −0.802222 | − | 0.154616i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9.38207 | − | 7.37814i | 0.334435 | − | 0.263002i | −0.436793 | − | 0.899562i | \(-0.643886\pi\) |
0.771227 | + | 0.636560i | \(0.219643\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −11.9634 | + | 13.8065i | −0.425908 | + | 0.491524i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.998326 | + | 20.9574i | −0.0354964 | + | 0.745161i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10.3877 | − | 9.90464i | 0.368878 | − | 0.351724i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 8.97202 | + | 10.3543i | 0.318205 | + | 0.367228i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −37.3955 | + | 7.20740i | −1.32462 | + | 0.255299i | −0.802029 | − | 0.597286i | \(-0.796246\pi\) |
−0.522589 | + | 0.852585i | \(0.675034\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −14.4892 | − | 4.25442i | −0.512592 | − | 0.150511i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.134913 | + | 0.295419i | −0.00476693 | + | 0.0104381i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −14.5364 | −0.512979 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 11.8141 | 0.416391 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 5.51623 | − | 12.0789i | 0.194181 | − | 0.425196i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 20.1008 | + | 5.90213i | 0.706707 | + | 0.207508i | 0.615285 | − | 0.788304i | \(-0.289041\pi\) |
0.0914214 | + | 0.995812i | \(0.470859\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −27.4476 | + | 5.29009i | −0.963815 | + | 0.185760i | −0.646800 | − | 0.762660i | \(-0.723893\pi\) |
−0.317016 | + | 0.948420i | \(0.602681\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 8.20393 | + | 9.46783i | 0.287724 | + | 0.332051i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −8.34457 | + | 7.95654i | −0.292298 | + | 0.278705i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.869781 | + | 18.2590i | −0.0304298 | + | 0.638800i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.76775 | + | 2.04009i | −0.0617701 | + | 0.0712866i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 21.7453 | − | 17.1007i | 0.758917 | − | 0.596819i | −0.161903 | − | 0.986807i | \(-0.551763\pi\) |
0.920820 | + | 0.389988i | \(0.127521\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 14.6055 | + | 2.81498i | 0.509115 | + | 0.0981240i | 0.437339 | − | 0.899297i | \(-0.355921\pi\) |
0.0717765 | + | 0.997421i | \(0.477133\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −0.200108 | + | 0.824856i | −0.00696686 | + | 0.0287178i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 28.8268 | − | 2.75263i | 1.00241 | − | 0.0957183i | 0.419075 | − | 0.907952i | \(-0.362355\pi\) |
0.583333 | + | 0.812233i | \(0.301748\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −17.2781 | − | 11.1040i | −0.600094 | − | 0.385657i | 0.205037 | − | 0.978754i | \(-0.434269\pi\) |
−0.805131 | + | 0.593097i | \(0.797905\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −17.7381 | + | 5.20836i | −0.615326 | + | 0.180676i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 13.9794 | − | 24.2131i | 0.484358 | − | 0.838933i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.109245 | − | 2.29333i | −0.00378058 | − | 0.0793641i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.732314 | − | 2.11588i | −0.0253125 | − | 0.0731356i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.66375 | − | 0.445334i | −0.161010 | − | 0.0153746i | 0.0142395 | − | 0.999899i | \(-0.495467\pi\) |
−0.175250 | + | 0.984524i | \(0.556073\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 8.96415 | + | 15.5264i | 0.309109 | + | 0.535392i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 17.5398 | + | 9.04238i | 0.604102 | + | 0.311436i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −18.6471 | − | 7.46518i | −0.641480 | − | 0.256810i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.01285 | + | 13.9997i | 0.0691625 | + | 0.481036i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −1.84922 | − | 4.04923i | −0.0634651 | − | 0.138969i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 15.1873 | + | 21.3276i | 0.520614 | + | 0.731100i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.870350 | + | 0.348435i | −0.0298002 | + | 0.0119302i | −0.386515 | − | 0.922283i | \(-0.626321\pi\) |
0.356714 | + | 0.934213i | \(0.383897\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.969007 | − | 3.99430i | −0.0331393 | − | 0.136602i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −3.35687 | + | 23.3475i | −0.114668 | + | 0.797537i | 0.848607 | + | 0.529023i | \(0.177442\pi\) |
−0.963276 | + | 0.268514i | \(0.913468\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.9149 | − | 9.23577i | 0.611249 | − | 0.315121i | −0.124662 | − | 0.992199i | \(-0.539785\pi\) |
0.735911 | + | 0.677079i | \(0.236754\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 10.3229 | − | 14.4965i | 0.351803 | − | 0.494038i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 31.2952 | − | 20.1122i | 1.06530 | − | 0.684628i | 0.114185 | − | 0.993460i | \(-0.463574\pi\) |
0.951117 | + | 0.308832i | \(0.0999380\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9.54080 | + | 9.09713i | 0.324397 | + | 0.309312i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 13.3067 | + | 10.4645i | 0.451920 | + | 0.355394i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.61568 | − | 4.66820i | 0.0548081 | − | 0.158358i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −10.7494 | + | 10.3133i | −0.364229 | + | 0.349454i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.365428 | + | 1.05584i | −0.0123679 | + | 0.0357346i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 13.7820 | + | 10.8383i | 0.465918 | + | 0.366402i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −16.4454 | − | 15.6806i | −0.555321 | − | 0.529497i | 0.359613 | − | 0.933102i | \(-0.382909\pi\) |
−0.914934 | + | 0.403604i | \(0.867757\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 10.5441 | − | 6.77630i | 0.355645 | − | 0.228559i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 8.88373 | − | 12.4755i | 0.299300 | − | 0.420309i | −0.637350 | − | 0.770575i | \(-0.719969\pi\) |
0.936650 | + | 0.350266i | \(0.113909\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −32.8270 | + | 16.9235i | −1.10472 | + | 0.569521i | −0.911361 | − | 0.411607i | \(-0.864968\pi\) |
−0.193356 | + | 0.981129i | \(0.561937\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.00490 | − | 13.9444i | 0.0673941 | − | 0.468736i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 10.7646 | + | 44.3721i | 0.361439 | + | 1.48987i | 0.804810 | + | 0.593532i | \(0.202267\pi\) |
−0.443372 | + | 0.896338i | \(0.646218\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −28.0045 | + | 11.2113i | −0.939241 | + | 0.376015i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.701953 | − | 0.985755i | −0.0235163 | − | 0.0330240i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −2.13500 | − | 4.67500i | −0.0714450 | − | 0.156443i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.02429 | + | 7.12409i | 0.0342382 | + | 0.238132i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −6.49074 | − | 2.59850i | −0.216719 | − | 0.0867613i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −6.62198 | − | 3.41387i | −0.220856 | − | 0.113859i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −19.2455 | − | 33.3342i | −0.641161 | − | 1.11052i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 13.6150 | + | 1.30008i | 0.453080 | + | 0.0432639i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 3.47398 | + | 10.0374i | 0.115479 | + | 0.333655i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.49127 | − | 52.2981i | −0.0827211 | − | 1.73653i | −0.535174 | − | 0.844742i | \(-0.679754\pi\) |
0.452453 | − | 0.891788i | \(-0.350549\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 1.25408 | − | 2.17214i | 0.0415953 | − | 0.0720452i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −44.7887 | + | 13.1511i | −1.48391 | + | 0.435717i | −0.920594 | − | 0.390522i | \(-0.872295\pi\) |
−0.563321 | + | 0.826238i | \(0.690476\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.01003 | + | 3.21975i | 0.165808 | + | 0.106558i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 16.2771 | − | 1.55428i | 0.538105 | − | 0.0513828i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 3.11539 | − | 12.8418i | 0.102879 | − | 0.424074i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −33.4434 | − | 6.44568i | −1.10320 | − | 0.212623i | −0.395029 | − | 0.918669i | \(-0.629265\pi\) |
−0.708167 | + | 0.706045i | \(0.750477\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 13.2030 | − | 10.3830i | 0.435054 | − | 0.342131i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −13.7821 | + | 15.9054i | −0.453643 | + | 0.523532i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.227453 | + | 4.77483i | −0.00747861 | + | 0.156995i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 6.04837 | − | 5.76711i | 0.198655 | − | 0.189417i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −25.7393 | − | 29.7047i | −0.844478 | − | 0.974580i | 0.155434 | − | 0.987846i | \(-0.450323\pi\) |
−0.999912 | + | 0.0132663i | \(0.995777\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.34353 | − | 1.80082i | 0.306222 | − | 0.0590194i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1.06750 | + | 0.313447i | 0.0349485 | + | 0.0102618i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −6.07108 | + | 13.2938i | −0.198546 | + | 0.434754i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −32.5721 | −1.06408 | −0.532041 | − | 0.846718i | \(-0.678575\pi\) | ||||
−0.532041 | + | 0.846718i | \(0.678575\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 9.44995 | 0.308387 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 4.40546 | − | 9.64662i | 0.143614 | − | 0.314471i | −0.824132 | − | 0.566397i | \(-0.808337\pi\) |
0.967746 | + | 0.251926i | \(0.0810641\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 44.2256 | + | 12.9858i | 1.44019 | + | 0.422877i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −3.01968 | + | 0.581995i | −0.0982301 | + | 0.0189323i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −10.3252 | − | 11.9159i | −0.335524 | − | 0.387215i | 0.562768 | − | 0.826615i | \(-0.309736\pi\) |
−0.898291 | + | 0.439400i | \(0.855191\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 15.8217 | − | 15.0860i | 0.513596 | − | 0.489713i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.0163504 | + | 0.343237i | −0.000530199 | + | 0.0111302i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 25.4013 | − | 29.3147i | 0.822830 | − | 0.949597i | −0.176568 | − | 0.984288i | \(-0.556499\pi\) |
0.999398 | + | 0.0346917i | \(0.0110449\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.6192 | + | 10.7103i | −0.440707 | + | 0.346576i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −3.95389 | − | 0.762050i | −0.127811 | − | 0.0246336i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0.114791 | − | 0.473174i | 0.00370679 | − | 0.0152796i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.8691 | − | 2.47020i | 0.834487 | − | 0.0796838i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 1.25097 | + | 0.803951i | 0.0403120 | + | 0.0259069i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −5.98998 | + | 1.75882i | −0.192824 | + | 0.0566183i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.4106 | + | 31.8880i | −0.592044 | + | 1.02545i | 0.401913 | + | 0.915678i | \(0.368345\pi\) |
−0.993957 | + | 0.109772i | \(0.964988\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.549438 | + | 11.5341i | 0.0176505 | + | 0.370530i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −19.8889 | − | 57.4653i | −0.638267 | − | 1.84415i | −0.526024 | − | 0.850470i | \(-0.676318\pi\) |
−0.112243 | − | 0.993681i | \(-0.535803\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6.78850 | + | 0.648223i | 0.217629 | + | 0.0207811i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.638240 | − | 1.10546i | −0.0204400 | − | 0.0354032i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −39.5716 | − | 20.4006i | −1.26601 | − | 0.652673i | −0.311327 | − | 0.950303i | \(-0.600773\pi\) |
−0.954681 | + | 0.297630i | \(0.903804\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.364864 | + | 0.146069i | 0.0116611 | + | 0.00466840i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.788199 | − | 5.48205i | −0.0251653 | − | 0.175028i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −14.7451 | − | 32.2872i | −0.470295 | − | 1.02980i | −0.985019 | − | 0.172446i | \(-0.944833\pi\) |
0.514724 | − | 0.857356i | \(-0.327894\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 9.42493 | + | 13.2355i | 0.300303 | + | 0.421717i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −3.56991 | + | 1.42918i | −0.113632 | + | 0.0454912i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.35142 | + | 34.4250i | 0.265560 | + | 1.09465i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.71163 | − | 32.7701i | 0.149670 | − | 1.04098i | −0.767091 | − | 0.641539i | \(-0.778296\pi\) |
0.916761 | − | 0.399437i | \(-0.130794\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 16.7542 | − | 8.63739i | 0.531679 | − | 0.274099i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.72225 | − | 3.82286i | 0.0863010 | − | 0.121193i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 11.8604 | − | 7.62224i | 0.375624 | − | 0.241399i | −0.339183 | − | 0.940720i | \(-0.610151\pi\) |
0.714807 | + | 0.699321i | \(0.246514\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.93254 | − | 4.70316i | −0.156059 | − | 0.148802i |
(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 | 804.2.y.b.73.2 | ✓ | 120 | |
67.56 | even | 33 | inner | 804.2.y.b.793.2 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.y.b.73.2 | ✓ | 120 | 1.1 | even | 1 | trivial | |
804.2.y.b.793.2 | yes | 120 | 67.56 | even | 33 | inner |