Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(289,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.bo (of order \(9\), degree \(6\), not 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: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 385.1 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.385 |
Dual form | 912.2.bo.f.289.1 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) | \(1\) | \(1\) |
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 | ||||||||
\(3\) | 0.173648 | − | 0.984808i | 0.100256 | − | 0.568579i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.907604 | + | 0.761570i | 0.405893 | + | 0.340584i | 0.822766 | − | 0.568380i | \(-0.192430\pi\) |
−0.416873 | + | 0.908965i | \(0.636874\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.266044 | + | 0.460802i | 0.100555 | + | 0.174167i | 0.911914 | − | 0.410382i | \(-0.134605\pi\) |
−0.811358 | + | 0.584549i | \(0.801271\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.939693 | − | 0.342020i | −0.313231 | − | 0.114007i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.939693 | − | 1.62760i | 0.283328 | − | 0.490738i | −0.688874 | − | 0.724881i | \(-0.741895\pi\) |
0.972202 | + | 0.234142i | \(0.0752282\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.673648 | − | 3.82045i | −0.186836 | − | 1.05960i | −0.923573 | − | 0.383422i | \(-0.874745\pi\) |
0.736737 | − | 0.676180i | \(-0.236366\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.907604 | − | 0.761570i | 0.234342 | − | 0.196637i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.09240 | + | 0.397600i | −0.264945 | + | 0.0964321i | −0.471077 | − | 0.882092i | \(-0.656135\pi\) |
0.206132 | + | 0.978524i | \(0.433912\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.93969 | + | 1.86516i | 0.903827 | + | 0.427897i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.500000 | − | 0.181985i | 0.109109 | − | 0.0397124i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.13429 | − | 4.30818i | 1.07057 | − | 0.898317i | 0.0754683 | − | 0.997148i | \(-0.475955\pi\) |
0.995104 | + | 0.0988312i | \(0.0315104\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.624485 | − | 3.54163i | −0.124897 | − | 0.708326i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.77972 | + | 1.37570i | 0.701875 | + | 0.255462i | 0.668211 | − | 0.743971i | \(-0.267060\pi\) |
0.0336640 | + | 0.999433i | \(0.489282\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.979055 | − | 1.69577i | −0.175844 | − | 0.304570i | 0.764609 | − | 0.644494i | \(-0.222932\pi\) |
−0.940453 | + | 0.339924i | \(0.889599\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.43969 | − | 1.20805i | −0.250618 | − | 0.210294i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.109470 | + | 0.620838i | −0.0185039 | + | 0.104941i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.88713 | 1.13224 | 0.566118 | − | 0.824324i | \(-0.308445\pi\) | ||||
0.566118 | + | 0.824324i | \(0.308445\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −3.87939 | −0.621199 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.56031 | + | 8.84894i | −0.243679 | + | 1.38197i | 0.579861 | + | 0.814715i | \(0.303107\pi\) |
−0.823540 | + | 0.567258i | \(0.808004\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.85844 | − | 1.55942i | −0.283410 | − | 0.237809i | 0.489989 | − | 0.871728i | \(-0.337001\pi\) |
−0.773399 | + | 0.633919i | \(0.781445\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.592396 | − | 1.02606i | −0.0883092 | − | 0.152956i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.91875 | + | 0.698367i | 0.279878 | + | 0.101867i | 0.478145 | − | 0.878281i | \(-0.341309\pi\) |
−0.198267 | + | 0.980148i | \(0.563531\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.35844 | − | 5.81699i | 0.479777 | − | 0.830999i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.201867 | + | 1.14484i | 0.0282670 | + | 0.160310i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 9.93629 | − | 8.33754i | 1.36485 | − | 1.14525i | 0.390404 | − | 0.920643i | \(-0.372335\pi\) |
0.974450 | − | 0.224605i | \(-0.0721093\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.09240 | − | 0.761570i | 0.282139 | − | 0.102690i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.52094 | − | 3.55596i | 0.333907 | − | 0.470998i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.51842 | + | 0.916629i | −0.327870 | + | 0.119335i | −0.500710 | − | 0.865615i | \(-0.666928\pi\) |
0.172840 | + | 0.984950i | \(0.444706\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.69253 | + | 7.29390i | −1.11296 | + | 0.933888i | −0.998228 | − | 0.0595075i | \(-0.981047\pi\) |
−0.114737 | + | 0.993396i | \(0.536603\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.0923963 | − | 0.524005i | −0.0116408 | − | 0.0660185i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.29813 | − | 3.98048i | 0.285048 | − | 0.493718i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.4966 | − | 3.82045i | −1.28236 | − | 0.466742i | −0.391150 | − | 0.920327i | \(-0.627923\pi\) |
−0.891213 | + | 0.453585i | \(0.850145\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.35117 | − | 5.80439i | −0.403433 | − | 0.698767i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.65136 | − | 3.90295i | −0.552015 | − | 0.463195i | 0.323608 | − | 0.946191i | \(-0.395104\pi\) |
−0.875623 | + | 0.482996i | \(0.839549\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.0569038 | + | 0.322718i | −0.00666009 | + | 0.0377712i | −0.987957 | − | 0.154731i | \(-0.950549\pi\) |
0.981297 | + | 0.192502i | \(0.0616601\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −3.59627 | −0.415261 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.00000 | 0.113961 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.80154 | − | 15.8883i | 0.315198 | − | 1.78757i | −0.255912 | − | 0.966700i | \(-0.582376\pi\) |
0.571109 | − | 0.820874i | \(-0.306513\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.766044 | + | 0.642788i | 0.0851160 | + | 0.0714208i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.78699 | + | 10.0234i | 0.635205 | + | 1.10021i | 0.986472 | + | 0.163931i | \(0.0524175\pi\) |
−0.351267 | + | 0.936275i | \(0.614249\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.29426 | − | 0.471073i | −0.140383 | − | 0.0510951i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.01114 | − | 3.48340i | 0.215617 | − | 0.373460i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.618089 | − | 3.50535i | −0.0655173 | − | 0.371567i | −0.999884 | − | 0.0152532i | \(-0.995145\pi\) |
0.934366 | − | 0.356314i | \(-0.115967\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.58125 | − | 1.32683i | 0.165760 | − | 0.139089i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.84002 | + | 0.669713i | −0.190801 | + | 0.0694460i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.15523 | + | 4.69318i | 0.221122 | + | 0.481510i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.52481 | + | 2.01087i | −0.560960 | + | 0.204173i | −0.606909 | − | 0.794771i | \(-0.707591\pi\) |
0.0459494 | + | 0.998944i | \(0.485369\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.43969 | + | 1.20805i | −0.144695 | + | 0.121413i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.19594 | + | 12.4538i | 0.218504 | + | 1.23920i | 0.874722 | + | 0.484626i | \(0.161044\pi\) |
−0.656218 | + | 0.754572i | \(0.727845\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.48158 | − | 2.56617i | 0.145985 | − | 0.252853i | −0.783755 | − | 0.621070i | \(-0.786698\pi\) |
0.929740 | + | 0.368217i | \(0.120032\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.592396 | + | 0.215615i | 0.0578120 | + | 0.0210418i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 9.55690 | + | 16.5530i | 0.923901 | + | 1.60024i | 0.793320 | + | 0.608805i | \(0.208351\pi\) |
0.130581 | + | 0.991438i | \(0.458316\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.5719 | − | 10.5491i | −1.20417 | − | 1.01042i | −0.999501 | − | 0.0315888i | \(-0.989943\pi\) |
−0.204670 | − | 0.978831i | \(-0.565612\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.19594 | − | 6.78250i | 0.113513 | − | 0.643766i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.73648 | −0.539643 | −0.269821 | − | 0.962910i | \(-0.586965\pi\) | ||||
−0.269821 | + | 0.962910i | \(0.586965\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.94087 | 0.740490 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.673648 | + | 3.82045i | −0.0622788 | + | 0.353201i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.473841 | − | 0.397600i | −0.0434369 | − | 0.0364479i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.73396 | + | 6.46740i | 0.339451 | + | 0.587946i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.44356 | + | 3.07321i | 0.761330 | + | 0.277102i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 5.09240 | − | 8.82029i | 0.455478 | − | 0.788911i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.327696 | + | 1.85846i | 0.0290783 | + | 0.164911i | 0.995889 | − | 0.0905828i | \(-0.0288730\pi\) |
−0.966811 | + | 0.255494i | \(0.917762\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.85844 | + | 1.55942i | −0.163627 | + | 0.137299i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.0569 | − | 3.66041i | 0.878676 | − | 0.319812i | 0.137001 | − | 0.990571i | \(-0.456254\pi\) |
0.741675 | + | 0.670759i | \(0.234032\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.188663 | + | 2.31164i | 0.0163592 | + | 0.200444i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.11334 | + | 0.405223i | −0.0958211 | + | 0.0348760i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.62314 | + | 7.23567i | −0.736725 | + | 0.618185i | −0.931956 | − | 0.362572i | \(-0.881899\pi\) |
0.195231 | + | 0.980757i | \(0.437454\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.11334 | + | 11.9854i | 0.179251 | + | 1.01658i | 0.933122 | + | 0.359561i | \(0.117074\pi\) |
−0.753870 | + | 0.657023i | \(0.771815\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.02094 | − | 1.76833i | 0.0859790 | − | 0.148920i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −6.85117 | − | 2.49362i | −0.572923 | − | 0.208527i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.38279 | + | 4.12711i | 0.197880 | + | 0.342738i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −5.14543 | − | 4.31753i | −0.424388 | − | 0.356104i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.84002 | + | 16.1066i | −0.232664 | + | 1.31950i | 0.614815 | + | 0.788672i | \(0.289231\pi\) |
−0.847478 | + | 0.530830i | \(0.821880\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −20.5226 | −1.67010 | −0.835052 | − | 0.550170i | \(-0.814563\pi\) | ||||
−0.835052 | + | 0.550170i | \(0.814563\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.16250 | 0.0939829 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.402856 | − | 2.28471i | 0.0323582 | − | 0.183512i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.45084 | − | 2.05650i | −0.195598 | − | 0.164126i | 0.539729 | − | 0.841839i | \(-0.318527\pi\) |
−0.735327 | + | 0.677713i | \(0.762971\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.48545 | − | 11.2331i | −0.514330 | − | 0.890845i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.35117 | + | 1.21972i | 0.264109 | + | 0.0961278i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.0039 | + | 20.7913i | −0.940216 | + | 1.62850i | −0.175157 | + | 0.984540i | \(0.556043\pi\) |
−0.765058 | + | 0.643961i | \(0.777290\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.386659 | − | 2.19285i | −0.0301014 | − | 0.170713i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.80406 | + | 2.35289i | −0.216985 | + | 0.182072i | −0.744801 | − | 0.667287i | \(-0.767456\pi\) |
0.527816 | + | 0.849359i | \(0.323011\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.92602 | + | 0.701015i | −0.148156 | + | 0.0539242i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.06418 | − | 3.10013i | −0.234324 | − | 0.237073i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.01114 | − | 1.82391i | 0.380990 | − | 0.138669i | −0.144424 | − | 0.989516i | \(-0.546133\pi\) |
0.525414 | + | 0.850847i | \(0.323911\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.46585 | − | 1.23000i | 0.110808 | − | 0.0929789i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.465385 | + | 2.63933i | 0.0349805 | + | 0.198384i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −12.6284 | + | 21.8730i | −0.943888 | + | 1.63486i | −0.185924 | + | 0.982564i | \(0.559528\pi\) |
−0.757963 | + | 0.652297i | \(0.773805\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 16.2626 | + | 5.91912i | 1.20879 | + | 0.439965i | 0.866285 | − | 0.499550i | \(-0.166501\pi\) |
0.342508 | + | 0.939515i | \(0.388724\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 5.67365 | + | 9.82705i | 0.419408 | + | 0.726436i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 6.25078 | + | 5.24503i | 0.459567 | + | 0.385622i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.379385 | + | 2.15160i | −0.0277434 | + | 0.157341i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.532089 | −0.0387038 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 15.1780 | 1.09824 | 0.549120 | − | 0.835743i | \(-0.314963\pi\) | ||||
0.549120 | + | 0.835743i | \(0.314963\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.25877 | − | 12.8101i | 0.162590 | − | 0.922093i | −0.788925 | − | 0.614490i | \(-0.789362\pi\) |
0.951515 | − | 0.307603i | \(-0.0995269\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −3.52094 | − | 2.95442i | −0.252140 | − | 0.211571i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 4.47431 | + | 7.74973i | 0.318781 | + | 0.552145i | 0.980234 | − | 0.197842i | \(-0.0633931\pi\) |
−0.661453 | + | 0.749987i | \(0.730060\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.23308 | − | 1.54071i | −0.300075 | − | 0.109218i | 0.187595 | − | 0.982246i | \(-0.439931\pi\) |
−0.487670 | + | 0.873028i | \(0.662153\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.58512 | + | 9.67372i | −0.393944 | + | 0.682331i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.371644 | + | 2.10770i | 0.0260843 | + | 0.147932i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.15523 | + | 6.84305i | −0.569586 | + | 0.477939i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −6.29813 | + | 2.29233i | −0.437751 | + | 0.159328i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 6.73783 | − | 4.65955i | 0.466065 | − | 0.322308i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.01754 | + | 2.19021i | −0.414265 | + | 0.150780i | −0.540740 | − | 0.841190i | \(-0.681856\pi\) |
0.126475 | + | 0.991970i | \(0.459634\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −4.65136 | + | 3.90295i | −0.318706 | + | 0.267426i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.499123 | − | 2.83067i | −0.0340399 | − | 0.193050i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.520945 | − | 0.902302i | 0.0353640 | − | 0.0612523i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.307934 | + | 0.112079i | 0.0208082 | + | 0.00757357i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.25490 | + | 3.90560i | 0.151681 | + | 0.262719i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.48886 | − | 2.08840i | −0.166666 | − | 0.139849i | 0.555640 | − | 0.831423i | \(-0.312473\pi\) |
−0.722306 | + | 0.691574i | \(0.756918\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.624485 | + | 3.54163i | −0.0416323 | + | 0.236109i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 11.7023 | 0.776711 | 0.388356 | − | 0.921510i | \(-0.373043\pi\) | ||||
0.388356 | + | 0.921510i | \(0.373043\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −22.9067 | −1.51372 | −0.756860 | − | 0.653578i | \(-0.773267\pi\) | ||||
−0.756860 | + | 0.653578i | \(0.773267\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.173648 | − | 0.984808i | 0.0114252 | − | 0.0647956i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.45084 | − | 2.05650i | −0.160560 | − | 0.134726i | 0.558968 | − | 0.829189i | \(-0.311197\pi\) |
−0.719528 | + | 0.694463i | \(0.755642\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.20961 | + | 2.09510i | 0.0789061 | + | 0.136669i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −15.1604 | − | 5.51795i | −0.984777 | − | 0.358429i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.08647 | − | 5.34592i | 0.199647 | − | 0.345799i | −0.748767 | − | 0.662833i | \(-0.769354\pi\) |
0.948414 | + | 0.317035i | \(0.102687\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.266922 | + | 1.51379i | 0.0171939 | + | 0.0975117i | 0.992197 | − | 0.124679i | \(-0.0397902\pi\) |
−0.975003 | + | 0.222191i | \(0.928679\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.766044 | − | 0.642788i | 0.0491418 | − | 0.0412348i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 7.47818 | − | 2.72183i | 0.477763 | − | 0.173892i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.47178 | − | 16.3079i | 0.284533 | − | 1.03764i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 10.8760 | − | 3.95853i | 0.689237 | − | 0.250862i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −13.7456 | + | 11.5339i | −0.867612 | + | 0.728013i | −0.963594 | − | 0.267370i | \(-0.913845\pi\) |
0.0959815 | + | 0.995383i | \(0.469401\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.18732 | − | 12.4049i | −0.137516 | − | 0.779889i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.688663 | + | 1.19280i | −0.0431257 | + | 0.0746960i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −27.6386 | − | 10.0596i | −1.72405 | − | 0.627503i | −0.725871 | − | 0.687831i | \(-0.758563\pi\) |
−0.998179 | + | 0.0603277i | \(0.980785\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.83228 | + | 3.17360i | 0.113852 | + | 0.197198i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.08125 | − | 2.58548i | −0.190725 | − | 0.160037i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.85504 | + | 10.5204i | −0.114386 | + | 0.648718i | 0.872666 | + | 0.488318i | \(0.162389\pi\) |
−0.987052 | + | 0.160400i | \(0.948722\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.3678 | 0.944038 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.55943 | −0.217834 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −3.57310 | + | 20.2641i | −0.217856 | + | 1.23552i | 0.658026 | + | 0.752995i | \(0.271392\pi\) |
−0.875882 | + | 0.482526i | \(0.839719\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.43763 | − | 1.20632i | −0.0873300 | − | 0.0732786i | 0.598078 | − | 0.801438i | \(-0.295931\pi\) |
−0.685408 | + | 0.728160i | \(0.740376\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.03209 | − | 1.78763i | −0.0624649 | − | 0.108192i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −6.35117 | − | 2.31164i | −0.382990 | − | 0.139397i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.43629 | + | 4.21978i | −0.146382 | + | 0.253542i | −0.929888 | − | 0.367843i | \(-0.880096\pi\) |
0.783505 | + | 0.621385i | \(0.213430\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.340022 | + | 1.92836i | 0.0203566 | + | 0.115448i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.309278 | + | 0.259515i | −0.0184500 | + | 0.0154814i | −0.651966 | − | 0.758248i | \(-0.726056\pi\) |
0.633516 | + | 0.773730i | \(0.281611\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 16.5287 | − | 6.01595i | 0.982528 | − | 0.357611i | 0.199706 | − | 0.979856i | \(-0.436001\pi\) |
0.782823 | + | 0.622245i | \(0.213779\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 4.99613 | − | 1.30753i | 0.295945 | − | 0.0774511i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.49273 | + | 1.63522i | −0.265197 | + | 0.0965239i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.9875 | + | 10.0587i | −0.705148 | + | 0.591689i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.02094 | + | 5.79006i | 0.0598488 | + | 0.339420i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 6.58765 | − | 11.4101i | 0.384855 | − | 0.666588i | −0.606894 | − | 0.794782i | \(-0.707585\pi\) |
0.991749 | + | 0.128195i | \(0.0409183\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.98380 | − | 1.08602i | −0.173724 | − | 0.0632303i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.939693 | + | 1.62760i | 0.0545265 | + | 0.0944427i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −19.9179 | − | 16.7131i | −1.15188 | − | 0.966542i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.224155 | − | 1.27125i | 0.0129201 | − | 0.0732735i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 12.6459 | 0.726488 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −13.4442 | −0.769812 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.93494 | + | 16.6449i | −0.167506 | + | 0.949975i | 0.778937 | + | 0.627103i | \(0.215759\pi\) |
−0.946443 | + | 0.322872i | \(0.895352\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.26991 | − | 1.90468i | −0.129131 | − | 0.108354i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.19072 | − | 2.06239i | −0.0675197 | − | 0.116947i | 0.830289 | − | 0.557333i | \(-0.188175\pi\) |
−0.897809 | + | 0.440385i | \(0.854842\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 28.0621 | + | 10.2138i | 1.58616 | + | 0.577317i | 0.976533 | − | 0.215368i | \(-0.0690951\pi\) |
0.609632 | + | 0.792685i | \(0.291317\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.315207 | − | 0.545955i | 0.0177599 | − | 0.0307611i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.21941 | − | 6.91560i | −0.0684888 | − | 0.388419i | −0.999713 | − | 0.0239714i | \(-0.992369\pi\) |
0.931224 | − | 0.364448i | \(-0.118742\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.79086 | − | 4.85911i | 0.324226 | − | 0.272058i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 17.9611 | − | 6.53731i | 1.00249 | − | 0.364877i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −5.04529 | − | 0.471073i | −0.280728 | − | 0.0262112i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.1099 | + | 4.77163i | −0.727208 | + | 0.264682i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −12.5719 | + | 10.5491i | −0.695229 | + | 0.583366i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.188663 | + | 1.06996i | 0.0104013 | + | 0.0589888i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.5993 | − | 23.5546i | 0.747483 | − | 1.29468i | −0.201543 | − | 0.979480i | \(-0.564596\pi\) |
0.949026 | − | 0.315199i | \(-0.102071\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −6.47178 | − | 2.35554i | −0.354651 | − | 0.129083i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −6.61721 | − | 11.4613i | −0.361537 | − | 0.626200i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.59286 | − | 7.21027i | −0.468083 | − | 0.392768i | 0.378012 | − | 0.925801i | \(-0.376608\pi\) |
−0.846095 | + | 0.533032i | \(0.821052\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.996130 | + | 5.64933i | −0.0541023 | + | 0.306830i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.68004 | −0.199286 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.29860 | 0.394087 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.37892 | − | 7.82023i | 0.0742385 | − | 0.421027i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.48293 | − | 1.24432i | −0.0796076 | − | 0.0667987i | 0.602115 | − | 0.798409i | \(-0.294325\pi\) |
−0.681723 | + | 0.731610i | \(0.738769\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.19846 | − | 12.4681i | −0.385325 | − | 0.667402i | 0.606489 | − | 0.795092i | \(-0.292577\pi\) |
−0.991814 | + | 0.127689i | \(0.959244\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.64543 | + | 1.32683i | 0.194579 | + | 0.0708208i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −7.86184 | + | 13.6171i | −0.418444 | + | 0.724766i | −0.995783 | − | 0.0917384i | \(-0.970758\pi\) |
0.577339 | + | 0.816504i | \(0.304091\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.24922 | − | 7.08467i | −0.0663016 | − | 0.376015i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.473841 | + | 0.397600i | −0.0250783 | + | 0.0210432i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 14.5817 | − | 5.30731i | 0.769594 | − | 0.280109i | 0.0727672 | − | 0.997349i | \(-0.476817\pi\) |
0.696826 | + | 0.717240i | \(0.254595\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.0424 | + | 14.6963i | 0.633808 | + | 0.773490i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 7.01754 | − | 2.55418i | 0.368325 | − | 0.134059i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.297418 | + | 0.249563i | −0.0155676 | + | 0.0130627i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.73396 | + | 15.5050i | 0.142711 | + | 0.809356i | 0.969176 | + | 0.246368i | \(0.0792372\pi\) |
−0.826465 | + | 0.562988i | \(0.809652\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.49273 | − | 7.78163i | 0.233882 | − | 0.405095i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 6.48545 | + | 2.36051i | 0.336708 | + | 0.122552i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.8143 | + | 25.6592i | 0.767057 | + | 1.32858i | 0.939152 | + | 0.343501i | \(0.111613\pi\) |
−0.172095 | + | 0.985080i | \(0.555054\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.80200 | − | 6.54666i | −0.402894 | − | 0.338068i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 2.70961 | − | 15.3669i | 0.139552 | − | 0.791438i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.72462 | −0.242688 | −0.121344 | − | 0.992611i | \(-0.538720\pi\) | ||||
−0.121344 | + | 0.992611i | \(0.538720\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.88713 | 0.0966804 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0.910130 | − | 5.16160i | 0.0465055 | − | 0.263746i | −0.952686 | − | 0.303957i | \(-0.901692\pi\) |
0.999191 | + | 0.0402115i | \(0.0128032\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.907604 | + | 0.761570i | 0.0462558 | + | 0.0388132i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.21301 | + | 2.10100i | 0.0616608 | + | 0.106800i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 14.1677 | + | 5.15663i | 0.718332 | + | 0.261451i | 0.675217 | − | 0.737619i | \(-0.264050\pi\) |
0.0431144 | + | 0.999070i | \(0.486272\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.89574 | + | 6.74763i | −0.197016 | + | 0.341242i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.85844 | − | 10.5397i | −0.0937459 | − | 0.531660i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 14.6427 | − | 12.2867i | 0.736756 | − | 0.618212i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.6677 | − | 4.97464i | 0.685963 | − | 0.249670i | 0.0245573 | − | 0.999698i | \(-0.492182\pi\) |
0.661406 | + | 0.750028i | \(0.269960\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.30928 | + | 0.215615i | 0.115608 | + | 0.0107942i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.68257 | + | 0.976376i | −0.133961 | + | 0.0487579i | −0.408131 | − | 0.912923i | \(-0.633819\pi\) |
0.274170 | + | 0.961681i | \(0.411597\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.81908 | + | 4.88279i | −0.289869 | + | 0.243229i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.205737 | + | 1.16679i | 0.0102232 | + | 0.0579784i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.47178 | − | 11.2095i | 0.320794 | − | 0.555632i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −32.1634 | − | 11.7065i | −1.59038 | − | 0.578851i | −0.612952 | − | 0.790120i | \(-0.710018\pi\) |
−0.977428 | + | 0.211269i | \(0.932240\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.62836 | + | 9.74860i | 0.277626 | + | 0.480863i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.09240 | − | 0.916629i | −0.0537533 | − | 0.0451044i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.38120 | + | 13.5044i | −0.116888 | + | 0.662907i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 12.1702 | 0.595979 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 7.91891 | 0.386864 | 0.193432 | − | 0.981114i | \(-0.438038\pi\) | ||||
0.193432 | + | 0.981114i | \(0.438038\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.81480 | − | 15.9635i | 0.137185 | − | 0.778014i | −0.836129 | − | 0.548534i | \(-0.815186\pi\) |
0.973313 | − | 0.229480i | \(-0.0737026\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.56418 | − | 1.31250i | −0.0760529 | − | 0.0638160i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 2.09034 | + | 3.62057i | 0.101396 | + | 0.175623i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.67365 | − | 2.06504i | −0.274567 | − | 0.0999342i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −3.64543 | + | 6.31407i | −0.176003 | + | 0.304846i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −4.41622 | − | 25.0456i | −0.212722 | − | 1.20641i | −0.884816 | − | 0.465940i | \(-0.845716\pi\) |
0.672094 | − | 0.740466i | \(-0.265395\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.07604 | − | 7.61570i | 0.436167 | − | 0.365987i | −0.398106 | − | 0.917339i | \(-0.630332\pi\) |
0.834273 | + | 0.551352i | \(0.185888\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.47818 | − | 1.62992i | 0.214712 | − | 0.0781489i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 28.2629 | − | 7.39663i | 1.35200 | − | 0.353829i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 24.3002 | − | 8.84457i | 1.15979 | − | 0.422128i | 0.310766 | − | 0.950486i | \(-0.399414\pi\) |
0.849022 | + | 0.528358i | \(0.177192\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.14543 | + | 4.31753i | −0.245020 | + | 0.205597i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.160282 | − | 0.909006i | −0.00761524 | − | 0.0431882i | 0.980763 | − | 0.195201i | \(-0.0625358\pi\) |
−0.988379 | + | 0.152012i | \(0.951425\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.10859 | − | 3.65219i | 0.0999569 | − | 0.173130i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 15.3687 | + | 5.59375i | 0.726915 | + | 0.264575i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −4.67230 | − | 8.09267i | −0.220500 | − | 0.381917i | 0.734460 | − | 0.678652i | \(-0.237435\pi\) |
−0.954960 | + | 0.296735i | \(0.904102\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.9363 | + | 10.8548i | 0.609146 | + | 0.511134i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −3.56371 | + | 20.2108i | −0.167438 | + | 0.949587i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 2.44562 | 0.114653 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 30.9009 | 1.44548 | 0.722740 | − | 0.691120i | \(-0.242882\pi\) | ||||
0.722740 | + | 0.691120i | \(0.242882\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.201867 | − | 1.14484i | 0.00942233 | − | 0.0534367i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −22.7422 | − | 19.0829i | −1.05921 | − | 0.888781i | −0.0651765 | − | 0.997874i | \(-0.520761\pi\) |
−0.994032 | + | 0.109093i | \(0.965205\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.91534 | − | 10.2457i | −0.274909 | − | 0.476157i | 0.695203 | − | 0.718814i | \(-0.255315\pi\) |
−0.970112 | + | 0.242657i | \(0.921981\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.18004 | − | 0.793471i | −0.101097 | − | 0.0367964i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 19.1591 | − | 33.1845i | 0.886577 | − | 1.53560i | 0.0426825 | − | 0.999089i | \(-0.486410\pi\) |
0.843895 | − | 0.536508i | \(-0.180257\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.03209 | − | 5.85327i | −0.0476574 | − | 0.270279i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −2.45084 | + | 2.05650i | −0.112929 | + | 0.0947584i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −4.28446 | + | 1.55942i | −0.197000 | + | 0.0717021i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.14543 | − | 15.1177i | 0.190205 | − | 0.693648i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −12.1887 | + | 4.43631i | −0.558081 | + | 0.203125i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −28.5612 | + | 23.9657i | −1.30500 | + | 1.09502i | −0.315738 | + | 0.948846i | \(0.602252\pi\) |
−0.989259 | + | 0.146176i | \(0.953304\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.63950 | − | 26.3119i | −0.211543 | − | 1.19972i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.78312 | − | 3.08845i | 0.0811347 | − | 0.140529i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −6.54576 | − | 2.38246i | −0.297228 | − | 0.108182i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.4893 | + | 28.5603i | 0.747203 | + | 1.29419i | 0.949159 | + | 0.314798i | \(0.101937\pi\) |
−0.201956 | + | 0.979395i | \(0.564730\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 18.3910 | + | 15.4319i | 0.831670 | + | 0.697854i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.07027 | + | 17.4124i | −0.138559 | + | 0.785809i | 0.833755 | + | 0.552134i | \(0.186186\pi\) |
−0.972315 | + | 0.233675i | \(0.924925\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.67593 | −0.210593 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −2.22668 | −0.100082 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.561023 | − | 3.18172i | 0.0251653 | − | 0.142720i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.7781 | − | 17.4349i | −0.930157 | − | 0.780494i | 0.0456890 | − | 0.998956i | \(-0.485452\pi\) |
−0.975846 | + | 0.218462i | \(0.929896\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.83022 | + | 3.17004i | 0.0817683 | + | 0.141627i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 0.536837 | + | 0.195393i | 0.0239364 | + | 0.00871212i | 0.353961 | − | 0.935260i | \(-0.384835\pi\) |
−0.330024 | + | 0.943972i | \(0.607057\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.49138 | + | 12.9755i | −0.333362 | + | 0.577400i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.355914 | + | 2.01849i | 0.0158067 | + | 0.0896443i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 31.0638 | − | 26.0656i | 1.37688 | − | 1.15534i | 0.406526 | − | 0.913639i | \(-0.366740\pi\) |
0.970352 | − | 0.241698i | \(-0.0777043\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.163848 | + | 0.0596358i | −0.00724821 | + | 0.00263813i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −3.58512 | + | 2.47929i | −0.158287 | + | 0.109463i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 3.29901 | − | 1.20074i | 0.145372 | − | 0.0529110i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.93969 | − | 2.46669i | 0.129288 | − | 0.108485i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.926022 | − | 5.25173i | −0.0406479 | − | 0.230525i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.44996 | + | 16.3678i | −0.414010 | + | 0.717087i | −0.995324 | − | 0.0965927i | \(-0.969206\pi\) |
0.581314 | + | 0.813680i | \(0.302539\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.45589 | − | 1.62181i | −0.194842 | − | 0.0709168i | 0.242756 | − | 0.970087i | \(-0.421949\pi\) |
−0.437598 | + | 0.899171i | \(0.644171\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.956767 | − | 1.65717i | −0.0417567 | − | 0.0723248i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.74376 | + | 1.46318i | 0.0759592 | + | 0.0637373i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.80659 | − | 21.5882i | 0.165504 | − | 0.938619i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.68004 | 0.116304 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 34.8580 | 1.50987 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.93242 | + | 22.3019i | −0.170013 | + | 0.964193i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 19.3478 | + | 16.2347i | 0.834918 | + | 0.700579i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −6.31180 | − | 10.9324i | −0.271869 | − | 0.470890i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 26.6506 | + | 9.70004i | 1.14580 | + | 0.417037i | 0.844005 | − | 0.536335i | \(-0.180192\pi\) |
0.301796 | + | 0.953373i | \(0.402414\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 8.65317 | − | 14.9877i | 0.371343 | − | 0.643185i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −3.37645 | − | 19.1488i | −0.144631 | − | 0.820244i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.27063 | − | 4.42258i | 0.225356 | − | 0.189096i | −0.523118 | − | 0.852260i | \(-0.675231\pi\) |
0.748474 | + | 0.663164i | \(0.230787\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 10.6630 | − | 3.88100i | 0.455084 | − | 0.165637i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 12.3250 | + | 12.4696i | 0.525063 | + | 0.531224i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8.06670 | − | 2.93604i | 0.343031 | − | 0.124853i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 6.25078 | − | 5.24503i | 0.265331 | − | 0.222639i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −2.45929 | − | 13.9473i | −0.104204 | − | 0.590968i | −0.991535 | − | 0.129836i | \(-0.958555\pi\) |
0.887332 | − | 0.461131i | \(-0.152556\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.70574 | + | 8.15058i | −0.199031 | + | 0.344733i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.05303 | + | 0.747243i | 0.0866791 | + | 0.0315486i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −18.1275 | − | 31.3977i | −0.763982 | − | 1.32326i | −0.940783 | − | 0.339009i | \(-0.889908\pi\) |
0.176801 | − | 0.984247i | \(-0.443425\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.20645 | − | 4.36873i | −0.219037 | − | 0.183794i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.0923963 | + | 0.524005i | −0.00388028 | + | 0.0220062i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −30.2918 | −1.26990 | −0.634949 | − | 0.772554i | \(-0.718979\pi\) | ||||
−0.634949 | + | 0.772554i | \(0.718979\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.39094 | −0.141906 | −0.0709532 | − | 0.997480i | \(-0.522604\pi\) | ||||
−0.0709532 | + | 0.997480i | \(0.522604\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 2.63563 | − | 14.9474i | 0.110105 | − | 0.624436i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −18.4643 | − | 15.4934i | −0.770013 | − | 0.646117i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.1514 | + | 19.3147i | 0.464237 | + | 0.804082i | 0.999167 | − | 0.0408143i | \(-0.0129952\pi\) |
−0.534930 | + | 0.844897i | \(0.679662\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −12.2233 | − | 4.44891i | −0.507982 | − | 0.184890i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.07919 | + | 5.33332i | −0.127746 | + | 0.221263i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.23308 | − | 24.0070i | −0.175316 | − | 0.994268i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.52094 | + | 2.95442i | −0.145573 | + | 0.122150i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −27.0164 | + | 9.83315i | −1.11508 | + | 0.405858i | −0.832856 | − | 0.553490i | \(-0.813296\pi\) |
−0.282228 | + | 0.959347i | \(0.591074\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.694288 | − | 8.50692i | −0.0286076 | − | 0.350522i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 8.40895 | − | 3.06061i | 0.345898 | − | 0.125897i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 9.02094 | − | 7.56947i | 0.370446 | − | 0.310841i | −0.438492 | − | 0.898735i | \(-0.644487\pi\) |
0.808938 | + | 0.587894i | \(0.200043\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.127260 | − | 0.721726i | −0.00521714 | − | 0.0295879i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −2.25237 | + | 3.90123i | −0.0921835 | + | 0.159667i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −20.3268 | − | 7.39836i | −0.830531 | − | 0.302289i | −0.108454 | − | 0.994101i | \(-0.534590\pi\) |
−0.722077 | + | 0.691813i | \(0.756812\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.0967 | + | 22.6842i | 0.534227 | + | 0.925308i | 0.999200 | + | 0.0399835i | \(0.0127305\pi\) |
−0.464973 | + | 0.885325i | \(0.653936\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 8.55690 | + | 7.18009i | 0.348464 | + | 0.292396i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.53643 | + | 8.71351i | −0.0624646 | + | 0.354254i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 13.2249 | 0.536783 | 0.268392 | − | 0.963310i | \(-0.413508\pi\) | ||||
0.268392 | + | 0.963310i | \(0.413508\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 2.14022 | 0.0867259 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.37551 | − | 7.80093i | 0.0556474 | − | 0.315592i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.30722 | − | 3.61419i | −0.173967 | − | 0.145976i | 0.551647 | − | 0.834078i | \(-0.314000\pi\) |
−0.725614 | + | 0.688102i | \(0.758444\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 5.32295 | + | 9.21962i | 0.214642 | + | 0.371771i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −8.90673 | − | 3.24178i | −0.358571 | − | 0.130509i | 0.156452 | − | 0.987686i | \(-0.449994\pi\) |
−0.515023 | + | 0.857176i | \(0.672217\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.37464 | + | 12.7732i | −0.296412 | + | 0.513400i | −0.975312 | − | 0.220830i | \(-0.929123\pi\) |
0.678901 | + | 0.734230i | \(0.262457\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.16385 | + | 6.60051i | 0.0467036 | + | 0.264869i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.45084 | − | 1.21740i | 0.0581266 | − | 0.0487740i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.55778 | + | 2.02287i | −0.222311 | + | 0.0809147i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.41875 | − | 7.44459i | −0.136532 | − | 0.297308i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −7.52347 | + | 2.73832i | −0.299980 | + | 0.109184i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −19.1518 | + | 16.0703i | −0.762422 | + | 0.639748i | −0.938756 | − | 0.344582i | \(-0.888021\pi\) |
0.176334 | + | 0.984330i | \(0.443576\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 1.11200 | + | 6.30645i | 0.0441979 | + | 0.250659i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.11793 | + | 1.93631i | −0.0443636 | + | 0.0768399i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −24.4859 | − | 8.91215i | −0.970167 | − | 0.353112i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 3.03596 | + | 5.25844i | 0.120101 | + | 0.208021i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −33.4996 | − | 28.1095i | −1.32315 | − | 1.11026i | −0.985626 | − | 0.168943i | \(-0.945965\pi\) |
−0.337528 | − | 0.941315i | \(-0.609591\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.80912 | − | 32.9451i | 0.229089 | − | 1.29923i | −0.625622 | − | 0.780126i | \(-0.715155\pi\) |
0.854712 | − | 0.519103i | \(-0.173734\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.87433 | −0.113177 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 32.1266 | 1.26303 | 0.631514 | − | 0.775365i | \(-0.282434\pi\) | ||||
0.631514 | + | 0.775365i | \(0.282434\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.874638 | + | 4.96032i | −0.0343325 | + | 0.194709i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.798133 | − | 0.669713i | −0.0312813 | − | 0.0262481i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −1.44815 | − | 2.50827i | −0.0566704 | − | 0.0981561i | 0.836298 | − | 0.548275i | \(-0.184715\pi\) |
−0.892969 | + | 0.450118i | \(0.851382\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.9153 | + | 4.33683i | 0.465571 | + | 0.169454i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.163848 | − | 0.283793i | 0.00639232 | − | 0.0110718i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.15926 | − | 17.9171i | −0.123067 | − | 0.697950i | −0.982437 | − | 0.186595i | \(-0.940255\pi\) |
0.859370 | − | 0.511355i | \(-0.170856\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.4081 | − | 13.7680i | 0.638200 | − | 0.535513i | −0.265265 | − | 0.964176i | \(-0.585459\pi\) |
0.903465 | + | 0.428662i | \(0.141015\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 4.23783 | − | 1.54244i | 0.164584 | − | 0.0599035i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.58924 | + | 2.24173i | −0.0616281 | + | 0.0869305i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 25.3329 | − | 9.22043i | 0.980894 | − | 0.357016i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −2.48886 | + | 2.08840i | −0.0962247 | + | 0.0807421i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.70321 | + | 21.0020i | 0.142961 | + | 0.810771i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −20.3457 | + | 35.2398i | −0.784269 | + | 1.35839i | 0.145165 | + | 0.989407i | \(0.453629\pi\) |
−0.929435 | + | 0.368987i | \(0.879705\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.37939 | + | 1.23000i | 0.130073 | + | 0.0473426i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 0.0680482 | + | 0.117863i | 0.00261530 | + | 0.00452984i | 0.867330 | − | 0.497733i | \(-0.165834\pi\) |
−0.864715 | + | 0.502263i | \(0.832501\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.39646 | − | 2.01087i | −0.0919677 | − | 0.0771700i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.03209 | − | 11.5245i | 0.0778698 | − | 0.441622i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 43.6459 | 1.67006 | 0.835032 | − | 0.550202i | \(-0.185449\pi\) | ||||
0.835032 | + | 0.550202i | \(0.185449\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.3369 | −0.509576 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.97771 | + | 22.5587i | −0.151759 | + | 0.860669i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −38.5467 | − | 32.3445i | −1.46851 | − | 1.23223i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.93376 | + | 13.7417i | 0.301815 | + | 0.522758i | 0.976547 | − | 0.215304i | \(-0.0690743\pi\) |
−0.674732 | + | 0.738062i | \(0.735741\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.939693 | − | 0.342020i | −0.0356960 | − | 0.0129923i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −7.20961 | + | 12.4874i | −0.273476 | + | 0.473674i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.81386 | − | 10.2869i | −0.0687050 | − | 0.389645i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −2.45084 | + | 2.05650i | −0.0926992 | + | 0.0777838i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −18.0513 | + | 6.57013i | −0.681787 | + | 0.248150i | −0.659615 | − | 0.751604i | \(-0.729281\pi\) |
−0.0221726 | + | 0.999754i | \(0.507058\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 27.1332 | + | 12.8456i | 1.02335 | + | 0.484481i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 2.27332 | − | 0.827420i | 0.0856181 | − | 0.0311624i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −5.15451 | + | 4.32515i | −0.193855 | + | 0.162664i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.73489 | + | 32.5242i | 0.215378 | + | 1.22147i | 0.880249 | + | 0.474512i | \(0.157376\pi\) |
−0.664871 | + | 0.746959i | \(0.731513\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.06670 | + | 13.9719i | −0.302525 | + | 0.523989i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −12.3324 | − | 4.48864i | −0.461854 | − | 0.168101i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.31908 | − | 7.48086i | −0.161524 | − | 0.279768i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −4.72874 | − | 3.96788i | −0.176598 | − | 0.148183i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −6.84952 | + | 38.8455i | −0.255444 | + | 1.44869i | 0.539487 | + | 0.841994i | \(0.318618\pi\) |
−0.794931 | + | 0.606700i | \(0.792493\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.57667 | 0.0587181 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.53714 | 0.0571669 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.51186 | − | 14.2455i | 0.0932881 | − | 0.529063i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −13.9816 | − | 11.7319i | −0.518548 | − | 0.435114i | 0.345577 | − | 0.938390i | \(-0.387683\pi\) |
−0.864125 | + | 0.503277i | \(0.832128\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.65018 | + | 0.964586i | 0.0980204 | + | 0.0356765i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.69640 | + | 13.3306i | −0.284273 | + | 0.492376i | −0.972433 | − | 0.233184i | \(-0.925086\pi\) |
0.688160 | + | 0.725559i | \(0.258419\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.38191 | − | 7.83721i | −0.0509726 | − | 0.289080i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −16.0817 | + | 13.4942i | −0.592378 | + | 0.497064i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 14.2618 | − | 5.19086i | 0.524627 | − | 0.190949i | −0.0661104 | − | 0.997812i | \(-0.521059\pi\) |
0.590738 | + | 0.806864i | \(0.298837\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −15.2836 | − | 7.23567i | −0.561457 | − | 0.265809i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −9.27156 | + | 3.37457i | −0.340141 | + | 0.123801i | −0.506442 | − | 0.862274i | \(-0.669040\pi\) |
0.166302 | + | 0.986075i | \(0.446817\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −14.8439 | + | 12.4555i | −0.543838 | + | 0.456334i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −2.00980 | − | 11.3981i | −0.0735347 | − | 0.417036i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −5.08512 | + | 8.80769i | −0.185806 | + | 0.321826i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.17024 | − | 3.33770i | −0.334627 | − | 0.121794i | 0.169242 | − | 0.985575i | \(-0.445868\pi\) |
−0.503869 | + | 0.863780i | \(0.668090\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 8.97178 | + | 15.5396i | 0.326950 | + | 0.566294i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −18.6264 | − | 15.6294i | −0.677883 | − | 0.568812i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.55438 | + | 42.8430i | −0.274569 | + | 1.55716i | 0.465761 | + | 0.884911i | \(0.345781\pi\) |
−0.740329 | + | 0.672245i | \(0.765330\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −12.5963 | −0.457216 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 44.7137 | 1.62087 | 0.810435 | − | 0.585828i | \(-0.199231\pi\) | ||||
0.810435 | + | 0.585828i | \(0.199231\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.51636 | − | 8.59970i | 0.0548959 | − | 0.311330i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.05509 | + | 0.885328i | 0.0381470 | + | 0.0320091i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 5.19846 | + | 9.00400i | 0.187706 | + | 0.325116i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.7690 | − | 7.55931i | −0.748951 | − | 0.272596i | −0.0607865 | − | 0.998151i | \(-0.519361\pi\) |
−0.688164 | + | 0.725555i | \(0.741583\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −14.7062 | + | 25.4719i | −0.529631 | + | 0.917348i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 7.32429 | + | 41.5381i | 0.263436 | + | 1.49402i | 0.773451 | + | 0.633857i | \(0.218529\pi\) |
−0.510014 | + | 0.860166i | \(0.670360\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.39440 | + | 4.52644i | −0.193773 | + | 0.162594i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 3.44356 | − | 1.25335i | 0.123537 | − | 0.0449638i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −22.6518 | + | 31.9519i | −0.811586 | + | 1.14480i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.7233 | + | 3.90295i | −0.383709 | + | 0.139659i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −3.08125 | + | 2.58548i | −0.110115 | + | 0.0923974i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −0.658223 | − | 3.73297i | −0.0234930 | − | 0.133235i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −14.2396 | + | 24.6638i | −0.507588 | + | 0.879169i | 0.492373 | + | 0.870384i | \(0.336130\pi\) |
−0.999961 | + | 0.00878442i | \(0.997204\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 10.0385 | + | 3.65371i | 0.357380 | + | 0.130076i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −1.52616 | − | 2.64339i | −0.0542640 | − | 0.0939880i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 33.7217 | + | 28.2959i | 1.19749 | + | 1.00482i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2.66860 | − | 15.1344i | 0.0946453 | − | 0.536760i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 16.6081 | 0.588290 | 0.294145 | − | 0.955761i | \(-0.404965\pi\) | ||||
0.294145 | + | 0.955761i | \(0.404965\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.37370 | −0.0839756 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.618089 | + | 3.50535i | −0.0218391 | + | 0.123856i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.471782 | + | 0.395872i | 0.0166488 | + | 0.0139700i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.11263 | + | 3.65917i | 0.0744603 | + | 0.128969i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 19.3357 | + | 7.03763i | 0.680650 | + | 0.247736i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 6.83915 | − | 11.8457i | 0.240452 | − | 0.416474i | −0.720391 | − | 0.693568i | \(-0.756038\pi\) |
0.960843 | + | 0.277093i | \(0.0893712\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0.107355 | + | 0.608839i | 0.00376973 | + | 0.0213792i | 0.986635 | − | 0.162948i | \(-0.0521004\pi\) |
−0.982865 | + | 0.184328i | \(0.940989\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −1.43763 | + | 1.20632i | −0.0504200 | + | 0.0423074i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −26.7288 | + | 9.72849i | −0.936269 | + | 0.340774i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.41312 | − | 9.60991i | −0.154396 | − | 0.336208i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.93969 | + | 0.705990i | −0.0677783 | + | 0.0246693i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 4.68210 | − | 3.92875i | 0.163407 | − | 0.137114i | −0.557418 | − | 0.830232i | \(-0.688208\pi\) |
0.720824 | + | 0.693118i | \(0.243763\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.32311 | − | 30.1889i | −0.185552 | − | 1.05232i | −0.925244 | − | 0.379372i | \(-0.876140\pi\) |
0.739692 | − | 0.672945i | \(-0.234971\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −3.37939 | + | 5.85327i | −0.117655 | + | 0.203785i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −47.6550 | − | 17.3450i | −1.65713 | − | 0.603145i | −0.667219 | − | 0.744862i | \(-0.732515\pi\) |
−0.989907 | + | 0.141717i | \(0.954738\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.50000 | + | 11.2583i | 0.225754 | + | 0.391018i | 0.956545 | − | 0.291583i | \(-0.0941820\pi\) |
−0.730791 | + | 0.682601i | \(0.760849\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 3.73261 | + | 3.13203i | 0.129483 | + | 0.108649i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.35591 | + | 7.68977i | −0.0469797 | + | 0.266435i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.33687 | −0.150083 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.95811 | 0.0676822 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 3.73308 | − | 21.1713i | 0.128880 | − | 0.730916i | −0.850047 | − | 0.526707i | \(-0.823427\pi\) |
0.978927 | − | 0.204209i | \(-0.0654623\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.82160 | − | 8.24130i | −0.338676 | − | 0.284183i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.201867 | + | 0.349643i | 0.00695266 | + | 0.0120424i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.28194 | − | 0.830557i | −0.0785010 | − | 0.0285720i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.98680 | + | 3.44123i | −0.0682671 | + | 0.118242i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −3.05438 | − | 17.3222i | −0.104826 | − | 0.594498i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 35.3605 | − | 29.6710i | 1.21214 | − | 1.01711i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 43.4397 | − | 15.8108i | 1.48735 | − | 0.541351i | 0.534599 | − | 0.845106i | \(-0.320463\pi\) |
0.952750 | + | 0.303755i | \(0.0982406\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.420092 | − | 5.14728i | −0.0143669 | − | 0.176033i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 41.0292 | − | 14.9334i | 1.40153 | − | 0.510115i | 0.472897 | − | 0.881118i | \(-0.343208\pi\) |
0.928632 | + | 0.371003i | \(0.120986\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.4474 | + | 12.9619i | −0.527060 | + | 0.442256i | −0.867085 | − | 0.498161i | \(-0.834009\pi\) |
0.340025 | + | 0.940416i | \(0.389564\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.830222 | + | 4.70842i | 0.0282939 | + | 0.160463i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −16.3466 | + | 28.3131i | −0.556444 | + | 0.963789i | 0.441346 | + | 0.897337i | \(0.354501\pi\) |
−0.997790 | + | 0.0664522i | \(0.978832\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.93717 | + | 2.16095i | 0.201870 | + | 0.0734746i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 7.82429 | + | 13.5521i | 0.265727 | + | 0.460252i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −23.2271 | − | 19.4899i | −0.787927 | − | 0.661149i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.52481 | + | 42.6753i | −0.254969 | + | 1.44600i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 5.87939 | 0.198987 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 5.41921 | 0.183203 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.26099 | − | 29.8366i | 0.177651 | − | 1.00751i | −0.757388 | − | 0.652965i | \(-0.773525\pi\) |
0.935039 | − | 0.354544i | \(-0.115364\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −10.0929 | − | 8.46892i | −0.340424 | − | 0.285650i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −11.7788 | − | 20.4015i | −0.396839 | − | 0.687346i | 0.596495 | − | 0.802617i | \(-0.296560\pi\) |
−0.993334 | + | 0.115271i | \(0.963226\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 34.6079 | + | 12.5962i | 1.16465 | + | 0.423897i | 0.850756 | − | 0.525561i | \(-0.176145\pi\) |
0.313892 | + | 0.949459i | \(0.398367\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1.58765 | + | 2.74989i | −0.0533682 | + | 0.0924365i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −0.748093 | − | 4.24265i | −0.0251185 | − | 0.142454i | 0.969669 | − | 0.244420i | \(-0.0785977\pi\) |
−0.994788 | + | 0.101966i | \(0.967487\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.769200 | + | 0.645435i | −0.0257981 | + | 0.0216472i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.76604 | − | 0.642788i | 0.0591647 | − | 0.0215342i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 6.25671 | + | 6.33012i | 0.209373 | + | 0.211830i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −28.1193 | + | 10.2346i | −0.939925 | + | 0.342105i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −19.9179 | + | 16.7131i | −0.665038 | + | 0.558033i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.36767 | − | 7.75643i | −0.0456143 | − | 0.258691i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −7.53936 | + | 13.0586i | −0.251173 | + | 0.435044i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1.21301 | − | 0.441500i | −0.0403665 | − | 0.0146922i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 10.2522 | + | 17.7574i | 0.340795 | + | 0.590274i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −17.8799 | − | 15.0030i | −0.593691 | − | 0.498166i | 0.295720 | − | 0.955275i | \(-0.404440\pi\) |
−0.889411 | + | 0.457109i | \(0.848885\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 2.19594 | − | 12.4538i | 0.0728346 | − | 0.413066i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −22.5631 | −0.747547 | −0.373774 | − | 0.927520i | \(-0.621936\pi\) | ||||
−0.373774 | + | 0.927520i | \(0.621936\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 21.7520 | 0.719885 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −2.33456 | + | 13.2399i | −0.0771782 | + | 0.437699i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 4.36231 | + | 3.66041i | 0.144056 | + | 0.120878i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.12789 | + | 3.68561i | 0.0701926 | + | 0.121577i | 0.898986 | − | 0.437978i | \(-0.144305\pi\) |
−0.828793 | + | 0.559555i | \(0.810972\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 15.8824 | + | 5.78071i | 0.523342 | + | 0.190481i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −11.7777 | + | 20.3995i | −0.387666 | + | 0.671458i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.30091 | − | 24.3917i | −0.141413 | − | 0.801993i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −2.26991 | + | 1.90468i | −0.0745538 | + | 0.0625581i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −55.9347 | + | 20.3586i | −1.83516 | + | 0.667943i | −0.843817 | + | 0.536632i | \(0.819697\pi\) |
−0.991341 | + | 0.131311i | \(0.958081\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 24.0808 | − | 16.6531i | 0.789218 | − | 0.545784i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −2.23783 | + | 0.814502i | −0.0732631 | + | 0.0266656i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.98293 | + | 1.66387i | −0.0648486 | + | 0.0544144i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.81877 | + | 32.9999i | 0.190091 | + | 1.07806i | 0.919238 | + | 0.393703i | \(0.128806\pi\) |
−0.729147 | + | 0.684357i | \(0.760083\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.9315 | − | 25.8622i | 0.487272 | − | 0.843981i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 5.19119 | + | 1.88944i | 0.169228 | + | 0.0615939i | 0.425245 | − | 0.905078i | \(-0.360188\pi\) |
−0.256017 | + | 0.966672i | \(0.582410\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 30.1117 | + | 52.1551i | 0.980573 | + | 1.69840i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.482926 | − | 0.405223i | −0.0157096 | − | 0.0131819i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 2.58822 | − | 14.6785i | 0.0841059 | − | 0.476988i | −0.913440 | − | 0.406973i | \(-0.866584\pi\) |
0.997546 | − | 0.0700149i | \(-0.0223047\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.27126 | 0.0412668 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −7.02229 | −0.227713 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −8.05138 | + | 45.6617i | −0.260810 | + | 1.47913i | 0.519897 | + | 0.854229i | \(0.325970\pi\) |
−0.780707 | + | 0.624898i | \(0.785141\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 13.7756 | + | 11.5591i | 0.445768 | + | 0.374044i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −3.77972 | − | 6.54666i | −0.122181 | − | 0.211623i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −5.62836 | − | 2.04855i | −0.181749 | − | 0.0661513i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.5829 | − | 23.5263i | 0.438158 | − | 0.758912i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −3.31908 | − | 18.8234i | −0.106956 | − | 0.606576i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 11.8059 | − | 9.90630i | 0.380045 | − | 0.318895i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −21.8414 | + | 7.94961i | −0.702371 | + | 0.255642i | −0.668423 | − | 0.743781i | \(-0.733030\pi\) |
−0.0339481 | + | 0.999424i | \(0.510808\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −1.34002 | + | 4.88684i | −0.0430477 | + | 0.156988i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 4.63310 | − | 1.68631i | 0.148683 | − | 0.0541163i | −0.266606 | − | 0.963805i | \(-0.585902\pi\) |
0.415290 | + | 0.909689i | \(0.363680\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.96064 | + | 4.16247i | −0.159031 | + | 0.133443i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 2.42262 | + | 13.7394i | 0.0775859 | + | 0.440011i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −16.3721 | + | 28.3573i | −0.523790 | + | 0.907231i | 0.475826 | + | 0.879539i | \(0.342149\pi\) |
−0.999617 | + | 0.0276920i | \(0.991184\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.28611 | − | 2.28796i | −0.200905 | − | 0.0731234i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 8.20574 | + | 14.2128i | 0.261989 | + | 0.453778i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 19.4886 | + | 16.3529i | 0.621590 | + | 0.521576i | 0.898303 | − | 0.439377i | \(-0.144801\pi\) |
−0.276713 | + | 0.960953i | \(0.589245\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.84106 | + | 10.4412i | −0.0586611 | + | 0.332684i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.08647 | 0.0345826 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −16.2600 | −0.517038 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.76311 | + | 9.99908i | −0.0560070 | + | 0.317631i | −0.999921 | − | 0.0125597i | \(-0.996002\pi\) |
0.943914 | + | 0.330191i | \(0.107113\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −20.8353 | − | 17.4829i | −0.661187 | − | 0.554802i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.66860 | − | 4.62214i | −0.0846002 | − | 0.146532i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −52.4065 | − | 19.0744i | −1.65973 | − | 0.604092i | −0.669410 | − | 0.742894i | \(-0.733453\pi\) |
−0.990320 | + | 0.138801i | \(0.955675\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −3.44356 | + | 5.96443i | −0.108950 | + | 0.188706i |
(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 | 912.2.bo.f.385.1 | 6 | ||
4.3 | odd | 2 | 114.2.i.d.43.1 | ✓ | 6 | ||
12.11 | even | 2 | 342.2.u.a.271.1 | 6 | |||
19.4 | even | 9 | inner | 912.2.bo.f.289.1 | 6 | ||
76.23 | odd | 18 | 114.2.i.d.61.1 | yes | 6 | ||
76.55 | odd | 18 | 2166.2.a.o.1.2 | 3 | |||
76.59 | even | 18 | 2166.2.a.u.1.2 | 3 | |||
228.23 | even | 18 | 342.2.u.a.289.1 | 6 | |||
228.59 | odd | 18 | 6498.2.a.bn.1.2 | 3 | |||
228.131 | even | 18 | 6498.2.a.bs.1.2 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.d.43.1 | ✓ | 6 | 4.3 | odd | 2 | ||
114.2.i.d.61.1 | yes | 6 | 76.23 | odd | 18 | ||
342.2.u.a.271.1 | 6 | 12.11 | even | 2 | |||
342.2.u.a.289.1 | 6 | 228.23 | even | 18 | |||
912.2.bo.f.289.1 | 6 | 19.4 | even | 9 | inner | ||
912.2.bo.f.385.1 | 6 | 1.1 | even | 1 | trivial | ||
2166.2.a.o.1.2 | 3 | 76.55 | odd | 18 | |||
2166.2.a.u.1.2 | 3 | 76.59 | even | 18 | |||
6498.2.a.bn.1.2 | 3 | 228.59 | odd | 18 | |||
6498.2.a.bs.1.2 | 3 | 228.131 | even | 18 |