Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(97,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.y (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 385.6 | ||
Character | \(\chi\) | \(=\) | 864.385 |
Dual form | 864.2.y.b.193.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.527750 | + | 1.64969i | 0.304696 | + | 0.952450i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.220114 | − | 1.24833i | −0.0984379 | − | 0.558269i | −0.993640 | − | 0.112608i | \(-0.964080\pi\) |
0.895202 | − | 0.445661i | \(-0.147031\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.06659 | − | 1.73408i | −0.781098 | − | 0.655419i | 0.162427 | − | 0.986721i | \(-0.448068\pi\) |
−0.943525 | + | 0.331301i | \(0.892512\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.44296 | + | 1.74125i | −0.814320 | + | 0.580416i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.816598 | − | 4.63116i | 0.246213 | − | 1.39635i | −0.571444 | − | 0.820641i | \(-0.693617\pi\) |
0.817657 | − | 0.575705i | \(-0.195272\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.12114 | + | 1.86394i | 1.42035 | + | 0.516965i | 0.934149 | − | 0.356882i | \(-0.116160\pi\) |
0.486201 | + | 0.873847i | \(0.338382\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.94319 | − | 1.02192i | 0.501729 | − | 0.263860i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.58790 | + | 4.48237i | 0.627657 | + | 1.08713i | 0.988021 | + | 0.154322i | \(0.0493195\pi\) |
−0.360363 | + | 0.932812i | \(0.617347\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.60795 | + | 2.78505i | −0.368889 | + | 0.638935i | −0.989392 | − | 0.145269i | \(-0.953595\pi\) |
0.620503 | + | 0.784204i | \(0.286929\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.77005 | − | 4.32440i | 0.386256 | − | 0.943660i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.70640 | − | 4.78823i | 1.18987 | − | 0.998416i | 0.190004 | − | 0.981783i | \(-0.439150\pi\) |
0.999862 | − | 0.0166326i | \(-0.00529457\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.18859 | − | 1.16055i | 0.637718 | − | 0.232111i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.16179 | − | 3.11119i | −0.800937 | − | 0.598748i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.64667 | − | 1.69125i | 0.862865 | − | 0.314057i | 0.127591 | − | 0.991827i | \(-0.459276\pi\) |
0.735274 | + | 0.677770i | \(0.237053\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.45581 | − | 4.57797i | 0.979893 | − | 0.822228i | −0.00418016 | − | 0.999991i | \(-0.501331\pi\) |
0.984073 | + | 0.177763i | \(0.0568861\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 8.07094 | − | 1.09696i | 1.40497 | − | 0.190956i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.70981 | + | 2.96148i | −0.289010 | + | 0.500581i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.05878 | − | 7.03001i | −0.667259 | − | 1.15573i | −0.978667 | − | 0.205451i | \(-0.934134\pi\) |
0.311408 | − | 0.950276i | \(-0.399199\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.372250 | + | 9.43200i | −0.0596077 | + | 1.51033i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.89007 | + | 2.14381i | 0.919875 | + | 0.334807i | 0.758189 | − | 0.652035i | \(-0.226085\pi\) |
0.161686 | + | 0.986842i | \(0.448307\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.35464 | + | 7.68253i | −0.206580 | + | 1.17158i | 0.688353 | + | 0.725376i | \(0.258334\pi\) |
−0.894933 | + | 0.446200i | \(0.852777\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.71138 | + | 2.66634i | 0.404188 | + | 0.397475i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.37956 | + | 2.83579i | 0.492960 | + | 0.413642i | 0.855086 | − | 0.518487i | \(-0.173505\pi\) |
−0.362126 | + | 0.932129i | \(0.617949\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.0482428 | + | 0.273599i | 0.00689184 | + | 0.0390855i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.02876 | + | 6.63480i | −0.844196 | + | 0.929058i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −5.40231 | −0.742064 | −0.371032 | − | 0.928620i | \(-0.620996\pi\) | ||||
−0.371032 | + | 0.928620i | \(0.620996\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.96094 | −0.803773 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.44307 | − | 1.18281i | −0.720953 | − | 0.156667i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.563127 | − | 3.19365i | −0.0733129 | − | 0.415778i | −0.999272 | − | 0.0381540i | \(-0.987852\pi\) |
0.925959 | − | 0.377624i | \(-0.123259\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.83148 | + | 2.37590i | 0.362534 | + | 0.304202i | 0.805800 | − | 0.592188i | \(-0.201736\pi\) |
−0.443266 | + | 0.896390i | \(0.646180\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 8.06806 | + | 0.637833i | 1.01648 | + | 0.0803594i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.19958 | − | 6.80314i | 0.148789 | − | 0.843826i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.7036 | − | 4.62375i | −1.55200 | − | 0.564881i | −0.583112 | − | 0.812392i | \(-0.698165\pi\) |
−0.968885 | + | 0.247511i | \(0.920387\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 10.9107 | + | 6.88680i | 1.31349 | + | 0.829073i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.66453 | − | 2.88306i | −0.197544 | − | 0.342156i | 0.750188 | − | 0.661225i | \(-0.229963\pi\) |
−0.947731 | + | 0.319069i | \(0.896630\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.27984 | + | 7.41290i | −0.500918 | + | 0.867615i | 0.499082 | + | 0.866555i | \(0.333671\pi\) |
−0.999999 | + | 0.00105997i | \(0.999663\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.59733 | + | 4.64771i | 0.415384 | + | 0.536671i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −9.71835 | + | 8.15466i | −1.10751 | + | 0.929310i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.44075 | + | 2.70821i | −0.837150 | + | 0.304698i | −0.724790 | − | 0.688970i | \(-0.758063\pi\) |
−0.112360 | + | 0.993668i | \(0.535841\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.93611 | − | 8.50760i | 0.326235 | − | 0.945289i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.51149 | − | 1.27808i | 0.385436 | − | 0.140287i | −0.142032 | − | 0.989862i | \(-0.545364\pi\) |
0.527468 | + | 0.849575i | \(0.323141\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.02583 | − | 4.21717i | 0.545128 | − | 0.457417i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.24232 | + | 6.77301i | 0.562035 | + | 0.726143i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.80137 | − | 15.2444i | 0.932943 | − | 1.61590i | 0.154681 | − | 0.987964i | \(-0.450565\pi\) |
0.778262 | − | 0.627940i | \(-0.216102\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.35109 | − | 12.7325i | −0.770604 | − | 1.33473i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 10.4315 | + | 6.58438i | 1.08170 | + | 0.682769i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.83059 | + | 1.39422i | 0.393010 | + | 0.143044i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.21046 | + | 12.5361i | −0.224438 | + | 1.27285i | 0.639319 | + | 0.768942i | \(0.279217\pi\) |
−0.863757 | + | 0.503909i | \(0.831895\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.06907 | + | 12.7356i | 0.609965 | + | 1.27998i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.68844 | + | 3.09497i | 0.367013 | + | 0.307961i | 0.807579 | − | 0.589760i | \(-0.200778\pi\) |
−0.440566 | + | 0.897720i | \(0.645222\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.898013 | + | 5.09289i | 0.0884839 | + | 0.501817i | 0.996550 | + | 0.0829908i | \(0.0264472\pi\) |
−0.908066 | + | 0.418826i | \(0.862442\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.78787 | − | 1.25774i | −0.564838 | − | 0.122743i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.82640 | 0.563259 | 0.281630 | − | 0.959523i | \(-0.409125\pi\) | ||||
0.281630 | + | 0.959523i | \(0.409125\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.14353 | −0.492661 | −0.246330 | − | 0.969186i | \(-0.579225\pi\) | ||||
−0.246330 | + | 0.969186i | \(0.579225\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 9.45533 | − | 10.4058i | 0.897460 | − | 0.987676i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.98557 | + | 11.2607i | 0.186787 | + | 1.05932i | 0.923638 | + | 0.383266i | \(0.125201\pi\) |
−0.736851 | + | 0.676055i | \(0.763688\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.23334 | − | 6.06949i | −0.674512 | − | 0.565983i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −15.7563 | + | 4.36364i | −1.45667 | + | 0.403418i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.42464 | − | 13.7508i | 0.222267 | − | 1.26054i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.4442 | − | 3.80136i | −0.949469 | − | 0.345578i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.428143 | + | 10.8482i | −0.0386043 | + | 0.978149i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.31956 | − | 9.21376i | −0.475796 | − | 0.824103i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.25691 | − | 2.17703i | 0.111533 | − | 0.193180i | −0.804856 | − | 0.593471i | \(-0.797757\pi\) |
0.916388 | + | 0.400290i | \(0.131091\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −13.3887 | + | 1.81972i | −1.17881 | + | 0.160217i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.80475 | − | 4.87076i | 0.507163 | − | 0.425561i | −0.352966 | − | 0.935636i | \(-0.614827\pi\) |
0.860130 | + | 0.510075i | \(0.170383\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.15247 | − | 2.96726i | 0.706909 | − | 0.257294i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.96771 | + | 5.88009i | −0.255420 | + | 0.506078i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 11.1601 | − | 4.06194i | 0.953470 | − | 0.347035i | 0.181999 | − | 0.983299i | \(-0.441743\pi\) |
0.771471 | + | 0.636264i | \(0.219521\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.40951 | + | 5.37821i | −0.543647 | + | 0.456174i | −0.872783 | − | 0.488108i | \(-0.837687\pi\) |
0.329136 | + | 0.944283i | \(0.393243\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.89461 | + | 7.07182i | −0.243770 | + | 0.595554i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 12.8141 | − | 22.1947i | 1.07157 | − | 1.85602i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.13403 | − | 5.42830i | −0.260267 | − | 0.450795i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.425893 | + | 0.223977i | −0.0351271 | + | 0.0184733i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −17.8097 | − | 6.48222i | −1.45903 | − | 0.531044i | −0.513933 | − | 0.857830i | \(-0.671812\pi\) |
−0.945098 | + | 0.326787i | \(0.894034\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.56863 | − | 8.89614i | 0.127653 | − | 0.723958i | −0.852043 | − | 0.523471i | \(-0.824637\pi\) |
0.979697 | − | 0.200486i | \(-0.0642522\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −14.1270 | − | 6.44408i | −1.14210 | − | 0.520973i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.91571 | − | 5.80297i | −0.555483 | − | 0.466105i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.98000 | − | 16.9004i | −0.237830 | − | 1.34880i | −0.836571 | − | 0.547859i | \(-0.815443\pi\) |
0.598741 | − | 0.800943i | \(-0.295668\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.85107 | − | 8.91214i | −0.226104 | − | 0.706779i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −20.0960 | −1.58378 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −13.4899 | −1.05661 | −0.528304 | − | 0.849056i | \(-0.677172\pi\) | ||||
−0.528304 | + | 0.849056i | \(0.677172\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −3.14588 | − | 9.83371i | −0.244907 | − | 0.765554i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.74280 | + | 15.5552i | 0.212245 | + | 1.20370i | 0.885624 | + | 0.464402i | \(0.153731\pi\) |
−0.673380 | + | 0.739297i | \(0.735158\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.7933 | + | 10.7348i | 0.984097 | + | 0.825755i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.921305 | − | 9.60362i | −0.0704540 | − | 0.734407i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0.206065 | − | 1.16865i | 0.0156668 | − | 0.0888510i | −0.975972 | − | 0.217897i | \(-0.930080\pi\) |
0.991639 | + | 0.129046i | \(0.0411915\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.60200 | − | 3.13087i | −0.650250 | − | 0.236672i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.97135 | − | 2.61443i | 0.373669 | − | 0.196513i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.69819 | + | 6.40545i | 0.276416 | + | 0.478766i | 0.970491 | − | 0.241136i | \(-0.0775200\pi\) |
−0.694076 | + | 0.719902i | \(0.744187\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.87045 | + | 17.0961i | −0.733665 | + | 1.27074i | 0.221642 | + | 0.975128i | \(0.428858\pi\) |
−0.955307 | + | 0.295616i | \(0.904475\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.42518 | + | 5.92495i | −0.179274 | + | 0.437985i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −7.88236 | + | 6.61409i | −0.579523 | + | 0.486277i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 22.8718 | − | 8.32467i | 1.67255 | − | 0.608760i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.20569 | + | 13.6464i | 0.233179 | + | 0.992631i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.84225 | + | 1.76244i | −0.350373 | + | 0.127525i | −0.511211 | − | 0.859455i | \(-0.670803\pi\) |
0.160837 | + | 0.986981i | \(0.448581\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.4522 | − | 8.77044i | 0.752366 | − | 0.631310i | −0.183761 | − | 0.982971i | \(-0.558827\pi\) |
0.936128 | + | 0.351661i | \(0.114383\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 11.8562 | − | 1.61142i | 0.849037 | − | 0.115396i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −5.85638 | + | 10.1435i | −0.417250 | + | 0.722698i | −0.995662 | − | 0.0930469i | \(-0.970339\pi\) |
0.578412 | + | 0.815745i | \(0.303673\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.43862 | + | 11.1520i | 0.456422 | + | 0.790546i | 0.998769 | − | 0.0496087i | \(-0.0157974\pi\) |
−0.542347 | + | 0.840155i | \(0.682464\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.923413 | − | 23.3973i | 0.0651325 | − | 1.65032i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −12.5355 | − | 4.56256i | −0.879821 | − | 0.320229i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.37969 | − | 7.82462i | 0.0963618 | − | 0.546495i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −5.60300 | + | 21.6337i | −0.389435 | + | 1.50365i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 11.5850 | + | 9.72094i | 0.801349 | + | 0.672412i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.729719 | + | 4.13844i | 0.0502359 | + | 0.284902i | 0.999569 | − | 0.0293709i | \(-0.00935038\pi\) |
−0.949333 | + | 0.314273i | \(0.898239\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.87770 | − | 4.26750i | 0.265695 | − | 0.292404i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 9.88849 | 0.674389 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −19.2135 | −1.30430 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −14.4877 | − | 3.14826i | −0.978987 | − | 0.212740i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 4.89811 | + | 27.7786i | 0.329483 | + | 1.86859i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.7882 | − | 10.7306i | −0.856360 | − | 0.718572i | 0.104820 | − | 0.994491i | \(-0.466573\pi\) |
−0.961181 | + | 0.275920i | \(0.911018\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −5.76880 | + | 8.38731i | −0.384586 | + | 0.559154i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −3.30400 | + | 18.7379i | −0.219294 | + | 1.24368i | 0.654003 | + | 0.756492i | \(0.273088\pi\) |
−0.873297 | + | 0.487188i | \(0.838023\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.59040 | + | 2.03474i | 0.369424 | + | 0.134459i | 0.520059 | − | 0.854130i | \(-0.325910\pi\) |
−0.150636 | + | 0.988589i | \(0.548132\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −18.5815 | − | 11.7287i | −1.22258 | − | 0.771689i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −4.49876 | − | 7.79208i | −0.294724 | − | 0.510476i | 0.680197 | − | 0.733029i | \(-0.261894\pi\) |
−0.974921 | + | 0.222553i | \(0.928561\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.79610 | − | 4.84299i | 0.182398 | − | 0.315922i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −8.39456 | − | 10.8457i | −0.545285 | − | 0.704503i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.116156 | + | 0.0974665i | −0.00751351 | + | 0.00630458i | −0.646537 | − | 0.762883i | \(-0.723783\pi\) |
0.639023 | + | 0.769188i | \(0.279339\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −25.2581 | + | 9.19320i | −1.62702 | + | 0.592186i | −0.984701 | − | 0.174253i | \(-0.944249\pi\) |
−0.642317 | + | 0.766439i | \(0.722027\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.5844 | + | 0.353800i | 0.999742 | + | 0.0226963i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.330922 | − | 0.120446i | 0.0211418 | − | 0.00769499i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.4257 | + | 11.2655i | −0.854259 | + | 0.716808i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.96162 | + | 5.11837i | 0.251057 | + | 0.324363i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.76741 | − | 3.06124i | 0.111558 | − | 0.193224i | −0.804841 | − | 0.593491i | \(-0.797749\pi\) |
0.916399 | + | 0.400267i | \(0.131083\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −17.5152 | − | 30.3373i | −1.10117 | − | 1.90729i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 9.60942 | + | 6.06546i | 0.601765 | + | 0.379834i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 6.67482 | + | 2.42944i | 0.416364 | + | 0.151544i | 0.541703 | − | 0.840570i | \(-0.317780\pi\) |
−0.125339 | + | 0.992114i | \(0.540002\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.80274 | + | 21.5664i | −0.236291 | + | 1.34007i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.40675 | + | 12.2227i | −0.520365 | + | 0.756563i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 2.36713 | + | 1.98626i | 0.145963 | + | 0.122478i | 0.712846 | − | 0.701321i | \(-0.247406\pi\) |
−0.566882 | + | 0.823799i | \(0.691851\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.18912 | + | 6.74385i | 0.0730472 | + | 0.414271i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 29.7935 | + | 6.47430i | 1.82333 | + | 0.396221i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −19.4091 | −1.18340 | −0.591698 | − | 0.806160i | \(-0.701542\pi\) | ||||
−0.591698 | + | 0.806160i | \(0.701542\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.3654 | 0.933380 | 0.466690 | − | 0.884421i | \(-0.345446\pi\) | ||||
0.466690 | + | 0.884421i | \(0.345446\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 17.1251 | − | 18.8466i | 1.03646 | − | 1.14065i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.77090 | − | 15.7146i | −0.167092 | − | 0.947624i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.46848 | + | 3.74950i | 0.268485 | + | 0.225285i | 0.767083 | − | 0.641548i | \(-0.221707\pi\) |
−0.498599 | + | 0.866833i | \(0.666152\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −5.35696 | + | 20.6837i | −0.320713 | + | 1.23830i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.0948868 | − | 0.538130i | 0.00566047 | − | 0.0321021i | −0.981847 | − | 0.189676i | \(-0.939256\pi\) |
0.987507 | + | 0.157574i | \(0.0503673\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.73569 | + | 3.17953i | 0.519283 | + | 0.189004i | 0.588347 | − | 0.808609i | \(-0.299779\pi\) |
−0.0690638 | + | 0.997612i | \(0.522001\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.278441 | + | 7.05509i | −0.0164934 | + | 0.417907i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −8.45484 | − | 14.6442i | −0.499073 | − | 0.864421i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.89443 | + | 8.47740i | −0.287908 | + | 0.498671i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −21.8473 | + | 2.96937i | −1.28071 | + | 0.174067i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 14.9099 | − | 12.5109i | 0.871044 | − | 0.730893i | −0.0932735 | − | 0.995641i | \(-0.529733\pi\) |
0.964318 | + | 0.264748i | \(0.0852886\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.86277 | + | 1.40593i | −0.224899 | + | 0.0818566i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −17.8069 | + | 16.7333i | −1.03326 | + | 0.970966i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 38.1483 | − | 13.8848i | 2.20617 | − | 0.802981i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.1216 | − | 13.5276i | 0.929232 | − | 0.779719i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −3.15917 | + | 7.71815i | −0.181489 | + | 0.443396i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 2.34265 | − | 4.05758i | 0.134140 | − | 0.232337i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.10010 | + | 12.2977i | 0.405224 | + | 0.701869i | 0.994348 | − | 0.106174i | \(-0.0338601\pi\) |
−0.589123 | + | 0.808043i | \(0.700527\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.92776 | + | 4.16921i | −0.450995 | + | 0.237178i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −11.3415 | − | 4.12799i | −0.643120 | − | 0.234077i | −0.000188266 | − | 1.00000i | \(-0.500060\pi\) |
−0.642932 | + | 0.765923i | \(0.722282\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.80051 | + | 27.2251i | −0.271341 | + | 1.53885i | 0.479008 | + | 0.877810i | \(0.340996\pi\) |
−0.750349 | + | 0.661042i | \(0.770115\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.979666 | − | 10.2120i | −0.0551979 | − | 0.575379i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −9.63253 | − | 8.08265i | −0.541017 | − | 0.453967i | 0.330869 | − | 0.943677i | \(-0.392658\pi\) |
−0.871886 | + | 0.489710i | \(0.837103\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.03798 | − | 22.9005i | −0.226083 | − | 1.28218i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 3.07488 | + | 9.61176i | 0.171623 | + | 0.536476i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −16.6449 | −0.926144 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 18.4924 | 1.02578 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.71450 | − | 8.48524i | −0.150112 | − | 0.469235i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.06670 | − | 11.7208i | −0.113941 | − | 0.646190i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −12.7463 | − | 10.6954i | −0.700598 | − | 0.587872i | 0.221345 | − | 0.975195i | \(-0.428955\pi\) |
−0.921944 | + | 0.387324i | \(0.873400\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 22.1564 | + | 10.1067i | 1.21416 | + | 0.553844i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.97570 | + | 16.8761i | −0.162580 | + | 0.922037i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 25.2065 | + | 9.17443i | 1.37309 | + | 0.499763i | 0.920075 | − | 0.391741i | \(-0.128127\pi\) |
0.453012 | + | 0.891504i | \(0.350349\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −17.5289 | + | 9.21844i | −0.952037 | + | 0.500677i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −16.7461 | − | 29.0051i | −0.906852 | − | 1.57071i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.06736 | + | 15.7051i | −0.489591 | + | 0.847997i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 6.19540 | − | 15.1359i | 0.333549 | − | 0.814892i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 11.0406 | − | 9.26420i | 0.592693 | − | 0.497328i | −0.296395 | − | 0.955066i | \(-0.595784\pi\) |
0.889088 | + | 0.457737i | \(0.151340\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.04973 | + | 1.47398i | −0.216777 | + | 0.0789003i | −0.448126 | − | 0.893971i | \(-0.647908\pi\) |
0.231349 | + | 0.972871i | \(0.425686\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −15.5141 | − | 23.6902i | −0.828079 | − | 1.26449i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 29.2380 | − | 10.6418i | 1.55618 | − | 0.566404i | 0.586325 | − | 0.810076i | \(-0.300574\pi\) |
0.969858 | + | 0.243671i | \(0.0783518\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.23261 | + | 2.71248i | −0.171569 | + | 0.143964i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 23.9642 | − | 3.25709i | 1.26832 | − | 0.172383i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −15.7551 | + | 27.2887i | −0.831524 | + | 1.44024i | 0.0653054 | + | 0.997865i | \(0.479198\pi\) |
−0.896829 | + | 0.442377i | \(0.854135\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.32899 | + | 7.49802i | 0.227841 | + | 0.394633i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.759174 | − | 19.2358i | 0.0398463 | − | 1.00962i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 10.1958 | + | 3.71096i | 0.533672 | + | 0.194241i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.28801 | + | 24.3185i | −0.223832 | + | 1.26941i | 0.641073 | + | 0.767480i | \(0.278489\pi\) |
−0.864905 | + | 0.501935i | \(0.832622\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −18.1221 | + | 5.01883i | −0.943400 | + | 0.261270i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 11.1644 | + | 9.36802i | 0.579625 | + | 0.486363i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.51846 | − | 25.6255i | −0.233957 | − | 1.32684i | −0.844799 | − | 0.535084i | \(-0.820280\pi\) |
0.610842 | − | 0.791753i | \(-0.290831\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 12.3925 | − | 13.6382i | 0.639943 | − | 0.704273i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 26.9487 | 1.38793 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 24.8139 | 1.27460 | 0.637301 | − | 0.770615i | \(-0.280051\pi\) | ||||
0.637301 | + | 0.770615i | \(0.280051\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.25476 | + | 0.924586i | 0.217978 | + | 0.0473680i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.49968 | + | 8.50513i | 0.0766303 | + | 0.434592i | 0.998851 | + | 0.0479277i | \(0.0152617\pi\) |
−0.922221 | + | 0.386664i | \(0.873627\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 12.3188 | + | 10.3367i | 0.627826 | + | 0.526808i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −10.0679 | − | 21.1269i | −0.511778 | − | 1.07394i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 2.49620 | − | 14.1566i | 0.126562 | − | 0.717770i | −0.853806 | − | 0.520592i | \(-0.825711\pi\) |
0.980368 | − | 0.197178i | \(-0.0631777\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 36.2302 | + | 13.1867i | 1.83224 | + | 0.666881i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 11.0987 | + | 7.00550i | 0.559856 | + | 0.353381i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.01854 | + | 8.69237i | 0.252510 | + | 0.437361i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.6310 | − | 18.4134i | 0.533554 | − | 0.924142i | −0.465678 | − | 0.884954i | \(-0.654189\pi\) |
0.999232 | − | 0.0391881i | \(-0.0124772\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 9.19752 | + | 11.8831i | 0.460452 | + | 0.594899i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −14.6342 | + | 12.2796i | −0.730797 | + | 0.613212i | −0.930349 | − | 0.366675i | \(-0.880496\pi\) |
0.199551 | + | 0.979887i | \(0.436051\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 36.4731 | − | 13.2751i | 1.81685 | − | 0.661281i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −11.2665 | − | 1.79259i | −0.559839 | − | 0.0890746i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −35.8715 | + | 13.0561i | −1.77808 | + | 0.647169i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.14783 | − | 0.963146i | 0.0567567 | − | 0.0476245i | −0.613968 | − | 0.789331i | \(-0.710428\pi\) |
0.670725 | + | 0.741706i | \(0.265983\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 12.5907 | + | 16.2670i | 0.621052 | + | 0.802392i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −4.37428 | + | 7.57648i | −0.215244 | + | 0.372814i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.36839 | − | 4.10216i | −0.116259 | − | 0.201367i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −12.2550 | − | 7.73535i | −0.600130 | − | 0.378802i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −14.0890 | − | 5.12799i | −0.688294 | − | 0.250519i | −0.0258894 | − | 0.999665i | \(-0.508242\pi\) |
−0.662405 | + | 0.749146i | \(0.730464\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.32688 | + | 35.8815i | −0.308353 | + | 1.74876i | 0.298933 | + | 0.954274i | \(0.403369\pi\) |
−0.607286 | + | 0.794483i | \(0.707742\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −13.1939 | − | 1.04307i | −0.641512 | − | 0.0507157i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 13.4538 | + | 11.2891i | 0.652604 | + | 0.547600i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.73153 | − | 9.82001i | −0.0837948 | − | 0.475224i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 43.3771 | + | 9.42610i | 2.09427 | + | 0.455096i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −3.36144 | −0.161915 | −0.0809574 | − | 0.996718i | \(-0.525798\pi\) | ||||
−0.0809574 | + | 0.996718i | \(0.525798\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −28.8661 | −1.38722 | −0.693609 | − | 0.720351i | \(-0.743981\pi\) | ||||
−0.693609 | + | 0.720351i | \(0.743981\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 7.30103 | − | 8.03496i | 0.350058 | − | 0.385247i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4.15988 | + | 23.5919i | 0.198994 | + | 1.12855i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −23.4484 | − | 19.6756i | −1.11913 | − | 0.939064i | −0.120573 | − | 0.992705i | \(-0.538473\pi\) |
−0.998560 | + | 0.0536405i | \(0.982918\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.594259 | − | 0.584388i | −0.0282980 | − | 0.0278280i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 0.575529 | − | 3.26399i | 0.0273442 | − | 0.155077i | −0.968078 | − | 0.250647i | \(-0.919357\pi\) |
0.995423 | + | 0.0955708i | \(0.0304676\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −20.9673 | − | 7.63148i | −0.993946 | − | 0.361767i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 1.29457 | − | 32.8016i | 0.0612310 | − | 1.55146i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −16.7574 | − | 29.0247i | −0.790830 | − | 1.36976i | −0.925453 | − | 0.378861i | \(-0.876316\pi\) |
0.134623 | − | 0.990897i | \(-0.457018\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.7381 | − | 25.5272i | 0.693992 | − | 1.20203i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 15.5037 | − | 2.10718i | 0.728429 | − | 0.0990040i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −14.2762 | + | 11.9792i | −0.669279 | + | 0.561592i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 25.6967 | − | 9.35282i | 1.20204 | − | 0.437506i | 0.338103 | − | 0.941109i | \(-0.390215\pi\) |
0.863935 | + | 0.503603i | \(0.167992\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.17520 | − | 26.7061i | 0.148206 | − | 1.24654i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.64642 | − | 0.599249i | 0.0766816 | − | 0.0279098i | −0.303395 | − | 0.952865i | \(-0.598120\pi\) |
0.380076 | + | 0.924955i | \(0.375898\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 30.9320 | − | 25.9550i | 1.43753 | − | 1.20623i | 0.496445 | − | 0.868068i | \(-0.334638\pi\) |
0.941087 | − | 0.338164i | \(-0.109806\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 5.92334 | − | 14.4713i | 0.274688 | − | 0.671090i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −14.0139 | + | 24.2728i | −0.648486 | + | 1.12321i | 0.334999 | + | 0.942219i | \(0.391264\pi\) |
−0.983485 | + | 0.180992i | \(0.942069\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 18.2353 | + | 31.5845i | 0.842028 | + | 1.45844i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 26.3078 | − | 13.8353i | 1.21220 | − | 0.637496i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 34.4728 | + | 12.5471i | 1.58506 | + | 0.576915i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.89490 | + | 10.7465i | −0.0869440 | + | 0.493084i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 13.1976 | − | 9.40676i | 0.604278 | − | 0.430706i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −19.2328 | − | 16.1383i | −0.878771 | − | 0.737376i | 0.0871552 | − | 0.996195i | \(-0.472222\pi\) |
−0.965926 | + | 0.258819i | \(0.916667\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.68205 | − | 43.5670i | −0.350271 | − | 1.98649i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −10.6056 | − | 33.1521i | −0.482573 | − | 1.50847i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 16.1357 | 0.732687 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.94330 | −0.405260 | −0.202630 | − | 0.979255i | \(-0.564949\pi\) | ||||
−0.202630 | + | 0.979255i | \(0.564949\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −7.11927 | − | 22.2541i | −0.321944 | − | 1.00636i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 3.62742 | + | 20.5721i | 0.163703 | + | 0.928407i | 0.950391 | + | 0.311057i | \(0.100683\pi\) |
−0.786688 | + | 0.617351i | \(0.788206\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 19.6059 | + | 16.4513i | 0.883006 | + | 0.740930i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 14.5623 | − | 10.3795i | 0.654529 | − | 0.466523i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.55953 | + | 8.84453i | −0.0699545 | + | 0.396731i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.6919 | + | 5.34742i | 0.657701 | + | 0.239384i | 0.649243 | − | 0.760581i | \(-0.275086\pi\) |
0.00845752 | + | 0.999964i | \(0.497308\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −24.2138 | + | 12.7340i | −1.08179 | + | 0.568915i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −0.920598 | − | 1.59452i | −0.0410475 | − | 0.0710963i | 0.844772 | − | 0.535127i | \(-0.179736\pi\) |
−0.885819 | + | 0.464030i | \(0.846403\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.05165 | − | 5.28562i | 0.135797 | − | 0.235207i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −10.9575 | + | 26.7702i | −0.486640 | + | 1.18891i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −27.7624 | + | 23.2954i | −1.23055 | + | 1.03255i | −0.232343 | + | 0.972634i | \(0.574639\pi\) |
−0.998203 | + | 0.0599166i | \(0.980917\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 21.6992 | − | 7.89787i | 0.959917 | − | 0.349381i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 15.3568 | − | 6.58817i | 0.678018 | − | 0.290875i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 6.15992 | − | 2.24203i | 0.271439 | − | 0.0987956i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15.8927 | − | 13.3356i | 0.698961 | − | 0.586498i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.03667 | − | 0.276812i | 0.0893997 | − | 0.0121507i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −7.74293 | + | 13.4111i | −0.339224 | + | 0.587553i | −0.984287 | − | 0.176576i | \(-0.943498\pi\) |
0.645063 | + | 0.764129i | \(0.276831\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.36424 | − | 14.4873i | −0.365743 | − | 0.633485i | 0.623152 | − | 0.782101i | \(-0.285852\pi\) |
−0.988895 | + | 0.148615i | \(0.952518\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.625270 | − | 15.8430i | 0.0272890 | − | 0.691444i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 34.6393 | + | 12.6077i | 1.50891 | + | 0.549198i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.64185 | − | 31.9965i | 0.245298 | − | 1.39115i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 6.93664 | + | 6.82142i | 0.301024 | + | 0.296025i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 26.1680 | + | 21.9575i | 1.13346 | + | 0.951086i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.28247 | − | 7.27325i | −0.0554460 | − | 0.314450i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −8.61530 | + | 9.48135i | −0.371778 | + | 0.409150i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1.30647 | 0.0562738 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.8710 | −1.06929 | −0.534645 | − | 0.845077i | \(-0.679555\pi\) | ||||
−0.534645 | + | 0.845077i | \(0.679555\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −33.4124 | − | 7.26072i | −1.43386 | − | 0.311587i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.13216 | + | 6.42081i | 0.0484965 | + | 0.275037i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 30.1997 | + | 25.3406i | 1.29125 | + | 1.08348i | 0.991587 | + | 0.129438i | \(0.0413174\pi\) |
0.299659 | + | 0.954046i | \(0.403127\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −11.0542 | − | 0.873909i | −0.471783 | − | 0.0372975i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.76140 | + | 15.6607i | −0.117640 | + | 0.667167i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 20.0732 | + | 7.30606i | 0.853601 | + | 0.310685i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −15.0711 | − | 9.51288i | −0.639733 | − | 0.403799i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −3.89805 | − | 6.75162i | −0.165166 | − | 0.286075i | 0.771548 | − | 0.636171i | \(-0.219483\pi\) |
−0.936714 | + | 0.350095i | \(0.886149\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −21.2571 | + | 36.8184i | −0.899080 | + | 1.55725i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 25.8037 | + | 33.3381i | 1.08943 | + | 1.40754i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −30.8157 | + | 25.8574i | −1.29873 | + | 1.08976i | −0.308362 | + | 0.951269i | \(0.599781\pi\) |
−0.990364 | + | 0.138491i | \(0.955775\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.6200 | − | 4.95729i | 0.572999 | − | 0.208555i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −20.8206 | + | 12.4903i | −0.874382 | + | 0.524543i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 14.3499 | − | 5.22293i | 0.601579 | − | 0.218957i | −0.0232358 | − | 0.999730i | \(-0.507397\pi\) |
0.624814 | + | 0.780773i | \(0.285175\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −28.3126 | + | 23.7571i | −1.18485 | + | 0.994204i | −0.184911 | + | 0.982755i | \(0.559200\pi\) |
−0.999934 | + | 0.0114486i | \(0.996356\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −5.46297 | − | 7.05810i | −0.228219 | − | 0.294856i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 12.6384 | − | 21.8903i | 0.527057 | − | 0.912889i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.93194 | − | 5.07826i | −0.122058 | − | 0.211411i | 0.798521 | − | 0.601967i | \(-0.205616\pi\) |
−0.920579 | + | 0.390556i | \(0.872283\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 19.9847 | + | 12.6143i | 0.830535 | + | 0.524233i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.47310 | − | 3.44792i | −0.393010 | − | 0.143044i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.41151 | + | 25.0189i | −0.182706 | + | 1.03618i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 8.91544 | + | 18.7086i | 0.368608 | + | 0.773504i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −9.35554 | − | 7.85023i | −0.386144 | − | 0.324014i | 0.428965 | − | 0.903321i | \(-0.358879\pi\) |
−0.815109 | + | 0.579308i | \(0.803323\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.97721 | + | 22.5559i | 0.163878 | + | 0.929399i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −19.8244 | − | 4.30797i | −0.815468 | − | 0.177206i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −15.7207 | −0.645572 | −0.322786 | − | 0.946472i | \(-0.604619\pi\) | ||||
−0.322786 | + | 0.946472i | \(0.604619\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −17.6992 | −0.725598 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −14.9994 | + | 16.5072i | −0.613885 | + | 0.675595i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 0.585192 | + | 3.31879i | 0.0239103 | + | 0.135602i | 0.994426 | − | 0.105435i | \(-0.0336235\pi\) |
−0.970516 | + | 0.241037i | \(0.922512\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.78693 | − | 3.17761i | −0.154472 | − | 0.129617i | 0.562276 | − | 0.826950i | \(-0.309926\pi\) |
−0.716748 | + | 0.697332i | \(0.754370\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 39.0856 | − | 10.8245i | 1.59169 | − | 0.440810i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.44644 | + | 13.8745i | −0.0994620 | + | 0.564077i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 13.3985 | + | 4.87665i | 0.543828 | + | 0.197937i | 0.599302 | − | 0.800523i | \(-0.295445\pi\) |
−0.0554741 | + | 0.998460i | \(0.517667\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.911192 | − | 23.0876i | 0.0369234 | − | 0.935558i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 12.0215 | + | 20.8218i | 0.486337 | + | 0.842360i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −7.51217 | + | 13.0115i | −0.303414 | + | 0.525528i | −0.976907 | − | 0.213665i | \(-0.931460\pi\) |
0.673493 | + | 0.739194i | \(0.264793\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 13.6363 | − | 1.85337i | 0.549870 | − | 0.0747353i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.7540 | + | 14.0583i | −0.674492 | + | 0.565966i | −0.914391 | − | 0.404832i | \(-0.867330\pi\) |
0.239899 | + | 0.970798i | \(0.422886\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 18.6994 | − | 6.80603i | 0.751593 | − | 0.273558i | 0.0623171 | − | 0.998056i | \(-0.480151\pi\) |
0.689276 | + | 0.724499i | \(0.257929\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −38.6459 | + | 2.17397i | −1.55081 | + | 0.0872383i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −44.6238 | + | 16.2417i | −1.78781 | + | 0.650711i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.66595 | − | 2.23700i | 0.106638 | − | 0.0894799i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −9.92259 | + | 24.2418i | −0.396270 | + | 0.968126i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 21.0074 | − | 36.3859i | 0.837620 | − | 1.45080i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.0073 | + | 20.7973i | 0.478004 | + | 0.827927i | 0.999682 | − | 0.0252154i | \(-0.00802715\pi\) |
−0.521678 | + | 0.853142i | \(0.674694\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.44204 | + | 3.38787i | −0.256048 | + | 0.134656i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −2.99431 | − | 1.08984i | −0.118826 | − | 0.0432490i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.262914 | + | 1.49106i | −0.0104170 | + | 0.0590780i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 9.08651 | + | 4.14483i | 0.359457 | + | 0.163967i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.320698 | − | 0.269098i | −0.0126668 | − | 0.0106287i | 0.636432 | − | 0.771333i | \(-0.280409\pi\) |
−0.649099 | + | 0.760704i | \(0.724854\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.11471 | + | 34.6782i | 0.241141 | + | 1.36758i | 0.829288 | + | 0.558822i | \(0.188746\pi\) |
−0.588147 | + | 0.808754i | \(0.700142\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 5.21865 | + | 16.3130i | 0.205484 | + | 0.642322i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −23.3707 | −0.918797 | −0.459398 | − | 0.888230i | \(-0.651935\pi\) | ||||
−0.459398 | + | 0.888230i | \(0.651935\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −15.2501 | −0.598621 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −10.1399 | − | 31.6963i | −0.397414 | − | 1.24228i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −1.00702 | − | 5.71110i | −0.0394078 | − | 0.223493i | 0.958743 | − | 0.284273i | \(-0.0917522\pi\) |
−0.998151 | + | 0.0607803i | \(0.980641\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.35801 | − | 6.17411i | −0.287501 | − | 0.241242i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.45221 | − | 25.5617i | −0.0956700 | − | 0.997257i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.11895 | − | 40.3736i | 0.277315 | − | 1.57273i | −0.454196 | − | 0.890902i | \(-0.650073\pi\) |
0.731511 | − | 0.681830i | \(-0.238815\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.45991 | + | 1.25931i | 0.134575 | + | 0.0489813i | 0.408430 | − | 0.912790i | \(-0.366077\pi\) |
−0.273855 | + | 0.961771i | \(0.588299\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −43.2411 | + | 22.7405i | −1.67934 | + | 0.883168i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −5.49858 | − | 9.52382i | −0.213226 | − | 0.369318i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 18.4176 | − | 31.9003i | 0.713134 | − | 1.23518i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 10.9532 | − | 26.7596i | 0.423473 | − | 1.03459i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 13.3153 | − | 11.1729i | 0.514033 | − | 0.431324i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.44815 | − | 3.43884i | 0.364199 | − | 0.132558i | −0.153437 | − | 0.988158i | \(-0.549034\pi\) |
0.517636 | + | 0.855601i | \(0.326812\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −16.8810 | − | 5.09033i | −0.649748 | − | 0.195927i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 18.8873 | − | 6.87440i | 0.725896 | − | 0.264205i | 0.0474695 | − | 0.998873i | \(-0.484884\pi\) |
0.678427 | + | 0.734668i | \(0.262662\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 26.3067 | − | 22.0740i | 1.00956 | − | 0.847121i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −32.6555 | + | 4.43835i | −1.25136 | + | 0.170078i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −25.0966 | + | 43.4686i | −0.960295 | + | 1.66328i | −0.238538 | + | 0.971133i | \(0.576668\pi\) |
−0.721757 | + | 0.692147i | \(0.756665\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −7.52712 | − | 13.0373i | −0.287596 | − | 0.498131i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.406359 | + | 10.2963i | −0.0155036 | + | 0.392827i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −27.6660 | − | 10.0696i | −1.05399 | − | 0.383621i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.63405 | + | 20.6097i | −0.138246 | + | 0.784031i | 0.834299 | + | 0.551313i | \(0.185873\pi\) |
−0.972544 | + | 0.232718i | \(0.925238\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 9.54226 | − | 36.8436i | 0.362481 | − | 1.39957i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 8.12459 | + | 6.81734i | 0.308183 | + | 0.258596i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.63355 | + | 31.9495i | 0.213386 | + | 1.21017i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 10.4803 | − | 11.5338i | 0.396402 | − | 0.436250i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −13.1584 | −0.496986 | −0.248493 | − | 0.968634i | \(-0.579935\pi\) | ||||
−0.248493 | + | 0.968634i | \(0.579935\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 26.1053 | 0.984579 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 9.46509 | + | 2.05682i | 0.356476 | + | 0.0774643i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.25559 | − | 12.7921i | −0.0848300 | − | 0.481095i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.44673 | − | 3.73125i | −0.167000 | − | 0.140130i | 0.555457 | − | 0.831545i | \(-0.312543\pi\) |
−0.722458 | + | 0.691415i | \(0.756988\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 13.4618 | − | 19.5722i | 0.504857 | − | 0.734016i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 9.21263 | − | 52.2474i | 0.345016 | − | 1.95668i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −30.5268 | − | 11.1109i | −1.14164 | − | 0.415523i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.222091 | − | 0.140184i | −0.00829414 | − | 0.00523526i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 9.49214 | + | 16.4409i | 0.353997 | + | 0.613141i | 0.986946 | − | 0.161053i | \(-0.0514889\pi\) |
−0.632949 | + | 0.774194i | \(0.718156\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.97562 | − | 12.0821i | 0.259786 | − | 0.449962i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −28.4959 | − | 36.8164i | −1.05977 | − | 1.36922i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 12.8535 | − | 10.7854i | 0.477369 | − | 0.400560i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 41.0617 | − | 14.9453i | 1.52290 | − | 0.554289i | 0.561026 | − | 0.827798i | \(-0.310407\pi\) |
0.961869 | + | 0.273509i | \(0.0881844\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 7.64102 | + | 25.8962i | 0.283001 | + | 0.959120i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −37.9416 | + | 13.8096i | −1.40332 | + | 0.510767i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.21786 | − | 2.70011i | 0.118854 | − | 0.0997307i | −0.581423 | − | 0.813601i | \(-0.697504\pi\) |
0.700278 | + | 0.713871i | \(0.253059\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.373342 | + | 0.482354i | 0.0137709 | + | 0.0177919i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −31.7871 | + | 55.0568i | −1.17089 | + | 2.02804i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.2996 | − | 28.2318i | −0.599592 | − | 1.03852i | −0.992881 | − | 0.119109i | \(-0.961996\pi\) |
0.393289 | − | 0.919415i | \(-0.371337\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −25.6701 | − | 16.2029i | −0.943013 | − | 0.595230i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 45.3903 | + | 16.5207i | 1.66521 | + | 0.606087i | 0.991169 | − | 0.132606i | \(-0.0423347\pi\) |
0.674042 | + | 0.738693i | \(0.264557\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.17176 | + | 23.6592i | −0.152841 | + | 0.866806i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −6.35298 | + | 9.23666i | −0.232443 | + | 0.337952i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −12.0408 | − | 10.1034i | −0.439961 | − | 0.369171i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.08738 | + | 17.5094i | 0.112660 | + | 0.638928i | 0.987882 | + | 0.155206i | \(0.0496042\pi\) |
−0.875222 | + | 0.483722i | \(0.839285\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 5.98285 | + | 1.30011i | 0.218027 | + | 0.0473786i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −11.4506 | −0.416729 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −44.4417 | −1.61526 | −0.807631 | − | 0.589689i | \(-0.799250\pi\) | ||||
−0.807631 | + | 0.589689i | \(0.799250\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 40.8035 | − | 44.9052i | 1.48107 | − | 1.62996i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.15176 | − | 29.2171i | −0.186751 | − | 1.05912i | −0.923685 | − | 0.383153i | \(-0.874838\pi\) |
0.736934 | − | 0.675965i | \(-0.236273\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.6296 | + | 8.91927i | 0.384817 | + | 0.322899i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −4.93477 | + | 19.0536i | −0.178417 | + | 0.688885i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 3.06893 | − | 17.4048i | 0.110813 | − | 0.628451i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −44.7462 | − | 16.2863i | −1.61359 | − | 0.587299i | −0.631445 | − | 0.775421i | \(-0.717538\pi\) |
−0.982146 | + | 0.188122i | \(0.939760\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.485185 | + | 12.2935i | −0.0174735 | + | 0.442741i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 13.5498 | + | 23.4690i | 0.487353 | + | 0.844121i | 0.999894 | − | 0.0145421i | \(-0.00462906\pi\) |
−0.512541 | + | 0.858663i | \(0.671296\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.0834 | − | 20.9290i | 0.434048 | − | 0.751793i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −37.5848 | + | 5.10831i | −1.34835 | + | 0.183260i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −15.4416 | + | 12.9570i | −0.553252 | + | 0.464233i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −14.7111 | + | 5.35442i | −0.526406 | + | 0.191596i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −24.6003 | − | 7.41803i | −0.879142 | − | 0.265099i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −20.4413 | + | 7.44004i | −0.729583 | + | 0.265546i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 3.52412 | − | 2.95709i | 0.125621 | − | 0.105409i | −0.577813 | − | 0.816169i | \(-0.696094\pi\) |
0.703434 | + | 0.710761i | \(0.251649\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −2.02746 | + | 4.95328i | −0.0721794 | + | 0.176341i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 15.4236 | − | 26.7145i | 0.548401 | − | 0.949858i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10.0719 | + | 17.4450i | 0.357663 | + | 0.619491i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −10.4977 | + | 5.52075i | −0.372315 | + | 0.195801i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −28.5078 | − | 10.3760i | −1.00980 | − | 0.367536i | −0.216442 | − | 0.976295i | \(-0.569445\pi\) |
−0.793355 | + | 0.608759i | \(0.791668\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.96510 | + | 22.4872i | −0.140275 | + | 0.795539i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 5.04290 | + | 52.5669i | 0.178182 | + | 1.85736i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 30.8354 | + | 25.8740i | 1.08816 | + | 0.913073i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.42340 | + | 25.0863i | 0.155904 | + | 0.884177i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.2432 | − | 32.0191i | −0.360576 | − | 1.12712i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −4.11576 | −0.144702 | −0.0723512 | − | 0.997379i | \(-0.523050\pi\) | ||||
−0.0723512 | + | 0.997379i | \(0.523050\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.8627 | 0.978393 | 0.489197 | − | 0.872173i | \(-0.337290\pi\) | ||||
0.489197 | + | 0.872173i | \(0.337290\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 8.10907 | + | 25.3481i | 0.284397 | + | 0.888997i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 2.96930 | + | 16.8398i | 0.104010 | + | 0.589871i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −19.2181 | − | 16.1259i | −0.672355 | − | 0.564173i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 40.1288 | + | 18.3048i | 1.40221 | + | 0.639623i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.48880 | − | 19.7860i | 0.121760 | − | 0.690535i | −0.861420 | − | 0.507894i | \(-0.830424\pi\) |
0.983180 | − | 0.182641i | \(-0.0584646\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.68270 | − | 1.34039i | −0.128371 | − | 0.0467232i | 0.277036 | − | 0.960860i | \(-0.410648\pi\) |
−0.405407 | + | 0.914136i | \(0.632870\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 24.4618 | − | 12.8645i | 0.851652 | − | 0.447884i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −17.0746 | − | 29.5742i | −0.593744 | − | 1.02839i | −0.993723 | − | 0.111870i | \(-0.964316\pi\) |
0.399979 | − | 0.916524i | \(-0.369017\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.60103 | − | 2.77306i | 0.0556059 | − | 0.0963123i | −0.836883 | − | 0.547383i | \(-0.815624\pi\) |
0.892488 | + | 0.451070i | \(0.148958\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.82727 | + | 9.35040i | −0.132767 | + | 0.324362i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.10152 | + | 0.924288i | −0.0381655 | + | 0.0320247i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.8143 | − | 6.84784i | 0.651095 | − | 0.236979i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −36.9489 | + | 2.07850i | −1.27714 | + | 0.0718435i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 23.4076 | − | 8.51967i | 0.808120 | − | 0.294132i | 0.0952729 | − | 0.995451i | \(-0.469628\pi\) |
0.712847 | + | 0.701320i | \(0.247405\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.48408 | + | 2.92349i | −0.120141 | + | 0.100810i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.937824 | − | 0.127464i | 0.0323004 | − | 0.00439009i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 10.5846 | − | 18.3331i | 0.364121 | − | 0.630676i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 14.9920 | + | 25.9668i | 0.515130 | + | 0.892231i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −0.634987 | + | 16.0892i | −0.0217927 | + | 0.552180i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −56.8223 | − | 20.6816i | −1.94784 | − | 0.708958i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.487715 | + | 2.76597i | −0.0166990 | + | 0.0947050i | −0.992018 | − | 0.126095i | \(-0.959756\pi\) |
0.975319 | + | 0.220800i | \(0.0708667\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −11.7857 | + | 3.26398i | −0.403061 | + | 0.111626i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −27.1943 | − | 22.8187i | −0.928939 | − | 0.779473i | 0.0466874 | − | 0.998910i | \(-0.485134\pi\) |
−0.975627 | + | 0.219437i | \(0.929578\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.576658 | + | 3.27039i | 0.0196753 | + | 0.111584i | 0.993064 | − | 0.117577i | \(-0.0375127\pi\) |
−0.973388 | + | 0.229161i | \(0.926402\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 19.6964 | − | 21.6764i | 0.671251 | − | 0.738728i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 20.4644 | 0.696616 | 0.348308 | − | 0.937380i | \(-0.386756\pi\) | ||||
0.348308 | + | 0.937380i | \(0.386756\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.50422 | −0.0511450 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −16.5681 | − | 3.60035i | −0.562683 | − | 0.122274i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.46605 | + | 36.6708i | 0.219346 | + | 1.24397i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −56.4388 | − | 47.3578i | −1.91236 | − | 1.60466i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −16.4284 | − | 34.4742i | −0.556019 | − | 1.16678i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −4.98399 | + | 28.2656i | −0.168490 | + | 0.955552i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.07461 | + | 1.84701i | 0.171357 | + | 0.0623690i | 0.426274 | − | 0.904594i | \(-0.359826\pi\) |
−0.254917 | + | 0.966963i | \(0.582048\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 28.5078 | + | 17.9941i | 0.961543 | + | 0.606925i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 16.0782 | + | 27.8483i | 0.541690 | + | 0.938234i | 0.998807 | + | 0.0488280i | \(0.0155486\pi\) |
−0.457117 | + | 0.889406i | \(0.651118\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.09571 | + | 12.2901i | −0.238790 | + | 0.413596i | −0.960367 | − | 0.278738i | \(-0.910084\pi\) |
0.721578 | + | 0.692334i | \(0.243417\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −4.35793 | − | 5.63040i | −0.146490 | − | 0.189264i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 5.76774 | − | 4.83971i | 0.193662 | − | 0.162501i | −0.540801 | − | 0.841151i | \(-0.681879\pi\) |
0.734463 | + | 0.678649i | \(0.237434\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.37266 | + | 2.31946i | −0.213732 | + | 0.0777921i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −37.0024 | − | 20.5449i | −1.23963 | − | 0.688280i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −13.3320 | + | 4.85245i | −0.446138 | + | 0.162381i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 7.18208 | − | 6.02648i | 0.240070 | − | 0.201443i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 43.0384 | + | 55.6052i | 1.43701 | + | 1.85660i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 17.6089 | − | 30.4995i | 0.587289 | − | 1.01721i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −13.9806 | − | 24.2152i | −0.465762 | − | 0.806724i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 30.8245 | + | 19.4564i | 1.02578 | + | 0.647470i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 23.5142 | + | 8.55846i | 0.781637 | + | 0.284493i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −8.15380 | + | 46.2425i | −0.270743 | + | 1.53546i | 0.481426 | + | 0.876487i | \(0.340119\pi\) |
−0.752168 | + | 0.658971i | \(0.770992\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −14.3998 | − | 1.13840i | −0.477611 | − | 0.0377583i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −10.9000 | − | 9.14621i | −0.361134 | − | 0.303027i | 0.444109 | − | 0.895973i | \(-0.353520\pi\) |
−0.805243 | + | 0.592946i | \(0.797965\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.05150 | − | 17.3059i | −0.100990 | − | 0.572743i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 7.93009 | + | 1.72326i | 0.262161 | + | 0.0569691i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −20.4423 | −0.675065 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −31.4523 | −1.03752 | −0.518758 | − | 0.854921i | \(-0.673606\pi\) | ||||
−0.518758 | + | 0.854921i | \(0.673606\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −16.5404 | + | 18.2031i | −0.545024 | + | 0.599812i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −3.15046 | − | 17.8672i | −0.103699 | − | 0.588105i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −21.1005 | − | 17.7054i | −0.693780 | − | 0.582150i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −11.0618 | − | 10.8781i | −0.363317 | − | 0.357282i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −10.1698 | + | 57.6756i | −0.333659 | + | 1.89228i | 0.106428 | + | 0.994320i | \(0.466059\pi\) |
−0.440088 | + | 0.897955i | \(0.645053\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.839559 | − | 0.305575i | −0.0275154 | − | 0.0100148i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.824404 | − | 20.8886i | 0.0269898 | − | 0.683862i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −15.4263 | − | 26.7192i | −0.504494 | − | 0.873810i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 9.59150 | − | 16.6130i | 0.313341 | − | 0.542722i | −0.665743 | − | 0.746181i | \(-0.731885\pi\) |
0.979083 | + | 0.203459i | \(0.0652185\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −47.4464 | + | 6.44865i | −1.54836 | + | 0.210444i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 39.2192 | − | 32.9088i | 1.27851 | − | 1.07280i | 0.285062 | − | 0.958509i | \(-0.407986\pi\) |
0.993448 | − | 0.114288i | \(-0.0364586\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 43.8762 | − | 15.9696i | 1.42880 | − | 0.520042i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 16.3296 | − | 7.00551i | 0.531201 | − | 0.227889i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 50.8361 | − | 18.5028i | 1.65195 | − | 0.601261i | 0.662884 | − | 0.748722i | \(-0.269332\pi\) |
0.989068 | + | 0.147461i | \(0.0471101\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −35.7349 | + | 29.9852i | −1.16001 | + | 0.973360i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 8.25032 | − | 20.1563i | 0.267535 | − | 0.653613i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 17.1783 | − | 29.7537i | 0.556460 | − | 0.963817i | −0.441328 | − | 0.897346i | \(-0.645493\pi\) |
0.997788 | − | 0.0664715i | \(-0.0211742\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.26594 | + | 5.65678i | 0.105683 | + | 0.183049i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 35.6477 | − | 18.7472i | 1.15233 | − | 0.606010i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −30.1070 | − | 10.9581i | −0.972207 | − | 0.353854i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.42499 | − | 19.4241i | 0.110484 | − | 0.626583i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −14.2337 | + | 10.1452i | −0.458673 | + | 0.326925i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −13.2491 | − | 11.1173i | −0.426502 | − | 0.357878i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.59297 | + | 9.03420i | 0.0512266 | + | 0.290520i | 0.999649 | − | 0.0264886i | \(-0.00843258\pi\) |
−0.948423 | + | 0.317009i | \(0.897321\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −8.78431 | − | 27.4589i | −0.282193 | − | 0.882106i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 10.9454 | 0.351255 | 0.175628 | − | 0.984457i | \(-0.443805\pi\) | ||||
0.175628 | + | 0.984457i | \(0.443805\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 22.5721 | 0.723627 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 9.75938 | + | 30.5068i | 0.312550 | + | 0.977000i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1.91033 | − | 10.8340i | −0.0611168 | − | 0.346610i | −0.999997 | − | 0.00236698i | \(-0.999247\pi\) |
0.938880 | − | 0.344243i | \(-0.111865\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −63.4121 | − | 53.2090i | −2.02666 | − | 1.70057i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 12.5654 | − | 8.95616i | 0.401184 | − | 0.285948i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −2.79728 | + | 15.8642i | −0.0892195 | + | 0.505989i | 0.907147 | + | 0.420815i | \(0.138256\pi\) |
−0.996366 | + | 0.0851742i | \(0.972855\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13.9515 | + | 5.07794i | 0.444533 | + | 0.161797i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 18.2451 | − | 9.59508i | 0.580746 | − | 0.305415i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 29.0557 | + | 50.3259i | 0.923917 | + | 1.60027i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.16585 | + | 3.75136i | −0.0688005 | + | 0.119166i | −0.898374 | − | 0.439232i | \(-0.855251\pi\) |
0.829573 | + | 0.558398i | \(0.188584\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 10.9173 | − | 26.6719i | 0.346449 | − | 0.846407i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 12.5041 | − | 10.4922i | 0.396408 | − | 0.332626i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −51.1262 | + | 18.6084i | −1.61918 | + | 0.589335i | −0.983226 | − | 0.182390i | \(-0.941617\pi\) |
−0.635957 | + | 0.771724i | \(0.719395\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.97989 | + | 41.8851i | −0.157557 | + | 1.32518i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 864.2.y.b.385.6 | yes | 54 | |
4.3 | odd | 2 | 864.2.y.c.385.4 | yes | 54 | ||
27.4 | even | 9 | inner | 864.2.y.b.193.6 | ✓ | 54 | |
108.31 | odd | 18 | 864.2.y.c.193.4 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.b.193.6 | ✓ | 54 | 27.4 | even | 9 | inner | |
864.2.y.b.385.6 | yes | 54 | 1.1 | even | 1 | trivial | |
864.2.y.c.193.4 | yes | 54 | 108.31 | odd | 18 | ||
864.2.y.c.385.4 | yes | 54 | 4.3 | odd | 2 |