Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [495,2,Mod(91,495)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(495, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("495.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 495.n (of order \(5\), degree \(4\), 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: | \(3.95259490005\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.159390625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 6x^{6} - 11x^{5} + 21x^{4} - 5x^{3} + 10x^{2} + 25x + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 91.1 | ||
Root | \(0.453245 + 1.39494i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 495.91 |
Dual form | 495.2.n.f.136.1 |
$q$-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 \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0756511 | − | 0.0549637i | 0.0534934 | − | 0.0388652i | −0.560717 | − | 0.828007i | \(-0.689475\pi\) |
0.614211 | + | 0.789142i | \(0.289475\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.615332 | + | 1.89380i | −0.307666 | + | 0.946898i | ||||
\(5\) | 0.809017 | + | 0.587785i | 0.361803 | + | 0.262866i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.39815 | − | 4.30308i | 0.528453 | − | 1.62641i | −0.228932 | − | 0.973442i | \(-0.573523\pi\) |
0.757385 | − | 0.652968i | \(-0.226477\pi\) | |||||||
\(8\) | 0.115332 | + | 0.354955i | 0.0407760 | + | 0.125496i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.0935099 | 0.0295704 | ||||||||
\(11\) | 2.39815 | − | 2.29104i | 0.723071 | − | 0.690774i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.924349 | − | 0.671579i | 0.256368 | − | 0.186262i | −0.452176 | − | 0.891929i | \(-0.649352\pi\) |
0.708544 | + | 0.705666i | \(0.249352\pi\) | |||||||
\(14\) | −0.130741 | − | 0.402380i | −0.0349421 | − | 0.107541i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.19369 | − | 2.32035i | −0.798421 | − | 0.580087i | ||||
\(17\) | 2.72899 | + | 1.98273i | 0.661878 | + | 0.480883i | 0.867297 | − | 0.497792i | \(-0.165856\pi\) |
−0.205418 | + | 0.978674i | \(0.565856\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.88030 | + | 5.78696i | 0.431369 | + | 1.32762i | 0.896762 | + | 0.442514i | \(0.145913\pi\) |
−0.465392 | + | 0.885105i | \(0.654087\pi\) | |||||||
\(20\) | −1.61096 | + | 1.17043i | −0.360222 | + | 0.261716i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0554990 | − | 0.305131i | 0.0118324 | − | 0.0650542i | ||||
\(23\) | 5.45258 | 1.13694 | 0.568471 | − | 0.822703i | \(-0.307535\pi\) | ||||
0.568471 | + | 0.822703i | \(0.307535\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.309017 | + | 0.951057i | 0.0618034 | + | 0.190211i | ||||
\(26\) | 0.0330155 | − | 0.101611i | 0.00647488 | − | 0.0199276i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 7.28883 | + | 5.29564i | 1.37746 | + | 1.00078i | ||||
\(29\) | −1.02619 | + | 3.15830i | −0.190559 | + | 0.586482i | −1.00000 | 0.000720503i | \(-0.999771\pi\) | |
0.809440 | + | 0.587202i | \(0.199771\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.44887 | + | 1.05267i | −0.260225 | + | 0.189065i | −0.710246 | − | 0.703953i | \(-0.751416\pi\) |
0.450021 | + | 0.893018i | \(0.351416\pi\) | |||||||
\(32\) | −1.11558 | −0.197209 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.315430 | 0.0540957 | ||||||||
\(35\) | 3.66042 | − | 2.65945i | 0.618723 | − | 0.449529i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.460067 | − | 1.41594i | 0.0756345 | − | 0.232779i | −0.906091 | − | 0.423084i | \(-0.860948\pi\) |
0.981725 | + | 0.190305i | \(0.0609476\pi\) | |||||||
\(38\) | 0.460319 | + | 0.334441i | 0.0746736 | + | 0.0542536i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.115332 | + | 0.354955i | −0.0182356 | + | 0.0561233i | ||||
\(41\) | 0.539933 | + | 1.66174i | 0.0843234 | + | 0.259521i | 0.984325 | − | 0.176367i | \(-0.0564345\pi\) |
−0.900001 | + | 0.435888i | \(0.856434\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.263041 | −0.0401134 | −0.0200567 | − | 0.999799i | \(-0.506385\pi\) | ||||
−0.0200567 | + | 0.999799i | \(0.506385\pi\) | |||||||
\(44\) | 2.86310 | + | 5.95137i | 0.431628 | + | 0.897202i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.412494 | − | 0.299694i | 0.0608189 | − | 0.0441875i | ||||
\(47\) | −2.13986 | − | 6.58580i | −0.312130 | − | 0.960638i | −0.976920 | − | 0.213607i | \(-0.931479\pi\) |
0.664790 | − | 0.747031i | \(-0.268521\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −10.8985 | − | 7.91824i | −1.55693 | − | 1.13118i | ||||
\(50\) | 0.0756511 | + | 0.0549637i | 0.0106987 | + | 0.00777305i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.703052 | + | 2.16377i | 0.0974958 | + | 0.300061i | ||||
\(53\) | −1.16479 | + | 0.846269i | −0.159996 | + | 0.116244i | −0.664903 | − | 0.746930i | \(-0.731527\pi\) |
0.504907 | + | 0.863174i | \(0.331527\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.28679 | − | 0.443888i | 0.443190 | − | 0.0598539i | ||||
\(56\) | 1.68865 | 0.225656 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.0959593 | + | 0.295332i | 0.0126001 | + | 0.0387790i | ||||
\(59\) | 2.18416 | − | 6.72216i | 0.284354 | − | 0.875150i | −0.702238 | − | 0.711942i | \(-0.747816\pi\) |
0.986592 | − | 0.163208i | \(-0.0521842\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.02452 | − | 1.47090i | −0.259214 | − | 0.188330i | 0.450587 | − | 0.892733i | \(-0.351215\pi\) |
−0.709800 | + | 0.704403i | \(0.751215\pi\) | |||||||
\(62\) | −0.0517503 | + | 0.159271i | −0.00657229 | + | 0.0202274i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.30297 | − | 4.57938i | 0.787872 | − | 0.572422i | ||||
\(65\) | 1.14256 | 0.141717 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.516598 | −0.0631124 | −0.0315562 | − | 0.999502i | \(-0.510046\pi\) | ||||
−0.0315562 | + | 0.999502i | \(0.510046\pi\) | |||||||
\(68\) | −5.43413 | + | 3.94812i | −0.658984 | + | 0.478780i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.130741 | − | 0.402380i | 0.0156266 | − | 0.0480937i | ||||
\(71\) | −8.68098 | − | 6.30710i | −1.03024 | − | 0.748515i | −0.0618853 | − | 0.998083i | \(-0.519711\pi\) |
−0.968357 | + | 0.249568i | \(0.919711\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.75560 | + | 5.40317i | −0.205477 | + | 0.632393i | 0.794216 | + | 0.607635i | \(0.207882\pi\) |
−0.999693 | + | 0.0247584i | \(0.992118\pi\) | |||||||
\(74\) | −0.0430208 | − | 0.132404i | −0.00500106 | − | 0.0153917i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −12.1163 | −1.38984 | ||||||||
\(77\) | −6.50552 | − | 13.5227i | −0.741373 | − | 1.54105i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.14460 | − | 6.64394i | 1.02885 | − | 0.747502i | 0.0607700 | − | 0.998152i | \(-0.480644\pi\) |
0.968078 | + | 0.250650i | \(0.0806444\pi\) | |||||||
\(80\) | −1.21988 | − | 3.75440i | −0.136387 | − | 0.419755i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.132182 | + | 0.0960360i | 0.0145971 | + | 0.0106054i | ||||
\(83\) | 3.62511 | + | 2.63380i | 0.397907 | + | 0.289097i | 0.768688 | − | 0.639624i | \(-0.220910\pi\) |
−0.370781 | + | 0.928720i | \(0.620910\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.04238 | + | 3.20812i | 0.113062 | + | 0.347970i | ||||
\(86\) | −0.0198994 | + | 0.0144577i | −0.00214580 | + | 0.00155902i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.08980 | + | 0.587008i | 0.116173 | + | 0.0625752i | ||||
\(89\) | −13.2676 | −1.40637 | −0.703183 | − | 0.711009i | \(-0.748238\pi\) | ||||
−0.703183 | + | 0.711009i | \(0.748238\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.59747 | − | 4.91652i | −0.167461 | − | 0.515391i | ||||
\(92\) | −3.35515 | + | 10.3261i | −0.349798 | + | 1.07657i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.523863 | − | 0.380608i | −0.0540323 | − | 0.0392568i | ||||
\(95\) | −1.88030 | + | 5.78696i | −0.192914 | + | 0.593729i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.71551 | − | 1.97293i | 0.275718 | − | 0.200321i | −0.441330 | − | 0.897345i | \(-0.645493\pi\) |
0.717048 | + | 0.697024i | \(0.245493\pi\) | |||||||
\(98\) | −1.25970 | −0.127249 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.99126 | −0.199126 | ||||||||
\(101\) | −7.55216 | + | 5.48696i | −0.751468 | + | 0.545973i | −0.896282 | − | 0.443486i | \(-0.853742\pi\) |
0.144814 | + | 0.989459i | \(0.453742\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.30027 | + | 13.2349i | −0.423718 | + | 1.30407i | 0.480498 | + | 0.876996i | \(0.340456\pi\) |
−0.904216 | + | 0.427075i | \(0.859544\pi\) | |||||||
\(104\) | 0.344987 | + | 0.250648i | 0.0338288 | + | 0.0245781i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.0416035 | + | 0.128042i | −0.00404089 | + | 0.0124366i | ||||
\(107\) | 5.18787 | + | 15.9666i | 0.501531 | + | 1.54355i | 0.806526 | + | 0.591198i | \(0.201345\pi\) |
−0.304996 | + | 0.952354i | \(0.598655\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.65293 | −0.349888 | −0.174944 | − | 0.984578i | \(-0.555974\pi\) | ||||
−0.174944 | + | 0.984578i | \(0.555974\pi\) | |||||||
\(110\) | 0.224251 | − | 0.214235i | 0.0213815 | − | 0.0204265i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −14.4499 | + | 10.4985i | −1.36539 | + | 0.992012i | ||||
\(113\) | 3.67802 | + | 11.3198i | 0.345999 | + | 1.06488i | 0.961047 | + | 0.276386i | \(0.0891369\pi\) |
−0.615047 | + | 0.788490i | \(0.710863\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.41123 | + | 3.20495i | 0.411350 | + | 0.298863i | ||||
\(116\) | −5.34973 | − | 3.88681i | −0.496710 | − | 0.360881i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.204241 | − | 0.628588i | −0.0188019 | − | 0.0578662i | ||||
\(119\) | 12.3474 | − | 8.97091i | 1.13188 | − | 0.822362i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.502293 | − | 10.9885i | 0.0456630 | − | 0.998957i | ||||
\(122\) | −0.234004 | −0.0211857 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.10200 | − | 3.39161i | −0.0989626 | − | 0.304576i | ||||
\(125\) | −0.309017 | + | 0.951057i | −0.0276393 | + | 0.0850651i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.9883 | − | 11.6162i | −1.41873 | − | 1.03077i | −0.991979 | − | 0.126404i | \(-0.959656\pi\) |
−0.426756 | − | 0.904367i | \(-0.640344\pi\) | |||||||
\(128\) | 0.914596 | − | 2.81484i | 0.0808397 | − | 0.248799i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0864358 | − | 0.0627993i | 0.00758092 | − | 0.00550786i | ||||
\(131\) | 1.93479 | 0.169043 | 0.0845215 | − | 0.996422i | \(-0.473064\pi\) | ||||
0.0845215 | + | 0.996422i | \(0.473064\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 27.5307 | 2.38721 | ||||||||
\(134\) | −0.0390812 | + | 0.0283941i | −0.00337610 | + | 0.00245288i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.389040 | + | 1.19734i | −0.0333599 | + | 0.102671i | ||||
\(137\) | −10.1413 | − | 7.36808i | −0.866429 | − | 0.629498i | 0.0631970 | − | 0.998001i | \(-0.479870\pi\) |
−0.929626 | + | 0.368503i | \(0.879870\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.47491 | + | 10.6947i | −0.294738 | + | 0.907111i | 0.688571 | + | 0.725169i | \(0.258238\pi\) |
−0.983309 | + | 0.181942i | \(0.941762\pi\) | |||||||
\(140\) | 2.78408 | + | 8.56853i | 0.235298 | + | 0.724173i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.00339 | −0.0842024 | ||||||||
\(143\) | 0.678120 | − | 3.72827i | 0.0567072 | − | 0.311773i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.68661 | + | 1.95194i | −0.223111 | + | 0.162100i | ||||
\(146\) | 0.164166 | + | 0.505250i | 0.0135864 | + | 0.0418148i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.39841 | + | 1.74255i | 0.197148 | + | 0.143236i | ||||
\(149\) | −14.0232 | − | 10.1885i | −1.14883 | − | 0.834672i | −0.160503 | − | 0.987035i | \(-0.551312\pi\) |
−0.988325 | + | 0.152363i | \(0.951312\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.00166997 | − | 0.00513965i | −0.000135901 | − | 0.000418259i | 0.950989 | − | 0.309226i | \(-0.100070\pi\) |
−0.951124 | + | 0.308808i | \(0.900070\pi\) | |||||||
\(152\) | −1.83725 | + | 1.33484i | −0.149021 | + | 0.108270i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.23541 | − | 0.665437i | −0.0995519 | − | 0.0536225i | ||||
\(155\) | −1.79091 | −0.143849 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.171454 | + | 0.527682i | 0.0136835 | + | 0.0421136i | 0.957665 | − | 0.287884i | \(-0.0929519\pi\) |
−0.943982 | + | 0.329998i | \(0.892952\pi\) | |||||||
\(158\) | 0.326623 | − | 1.00524i | 0.0259847 | − | 0.0799728i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.902527 | − | 0.655724i | −0.0713510 | − | 0.0518395i | ||||
\(161\) | 7.62356 | − | 23.4629i | 0.600820 | − | 1.84914i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.44324 | − | 4.68129i | 0.504673 | − | 0.366667i | −0.306126 | − | 0.951991i | \(-0.599033\pi\) |
0.810799 | + | 0.585324i | \(0.199033\pi\) | |||||||
\(164\) | −3.47924 | −0.271683 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.419007 | 0.0325212 | ||||||||
\(167\) | 2.77204 | − | 2.01400i | 0.214507 | − | 0.155848i | −0.475344 | − | 0.879800i | \(-0.657676\pi\) |
0.689850 | + | 0.723952i | \(0.257676\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.61382 | + | 11.1222i | −0.277986 | + | 0.855553i | ||||
\(170\) | 0.255188 | + | 0.185405i | 0.0195720 | + | 0.0142199i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.161858 | − | 0.498147i | 0.0123415 | − | 0.0379834i | ||||
\(173\) | −6.35552 | − | 19.5603i | −0.483201 | − | 1.48714i | −0.834569 | − | 0.550903i | \(-0.814283\pi\) |
0.351368 | − | 0.936237i | \(-0.385717\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.52452 | 0.342022 | ||||||||
\(176\) | −12.9750 | + | 1.75230i | −0.978024 | + | 0.132084i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.00371 | + | 0.729238i | −0.0752313 | + | 0.0546587i | ||||
\(179\) | 0.792419 | + | 2.43882i | 0.0592282 | + | 0.182286i | 0.976293 | − | 0.216452i | \(-0.0694484\pi\) |
−0.917065 | + | 0.398738i | \(0.869448\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.8545 | − | 7.88624i | −0.806807 | − | 0.586179i | 0.106096 | − | 0.994356i | \(-0.466165\pi\) |
−0.912903 | + | 0.408177i | \(0.866165\pi\) | |||||||
\(182\) | −0.391081 | − | 0.284137i | −0.0289888 | − | 0.0210616i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.628857 | + | 1.93542i | 0.0463599 | + | 0.142681i | ||||
\(185\) | 1.20447 | − | 0.875099i | 0.0885544 | − | 0.0643385i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 11.0871 | − | 1.49733i | 0.810766 | − | 0.109496i | ||||
\(188\) | 13.7889 | 1.00566 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.175826 | + | 0.541138i | 0.0127558 | + | 0.0392583i | ||||
\(191\) | −5.62097 | + | 17.2996i | −0.406719 | + | 1.25175i | 0.512733 | + | 0.858548i | \(0.328633\pi\) |
−0.919452 | + | 0.393203i | \(0.871367\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.6924 | − | 9.22156i | −0.913618 | − | 0.663782i | 0.0283094 | − | 0.999599i | \(-0.490988\pi\) |
−0.941927 | + | 0.335817i | \(0.890988\pi\) | |||||||
\(194\) | 0.0969914 | − | 0.298509i | 0.00696358 | − | 0.0214317i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 21.7018 | − | 15.7672i | 1.55013 | − | 1.12623i | ||||
\(197\) | 21.8486 | 1.55665 | 0.778325 | − | 0.627862i | \(-0.216070\pi\) | ||||
0.778325 | + | 0.627862i | \(0.216070\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.55200 | −0.322683 | −0.161341 | − | 0.986899i | \(-0.551582\pi\) | ||||
−0.161341 | + | 0.986899i | \(0.551582\pi\) | |||||||
\(200\) | −0.301943 | + | 0.219374i | −0.0213506 | + | 0.0155121i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.269745 | + | 0.830190i | −0.0189792 | + | 0.0584119i | ||||
\(203\) | 12.1556 | + | 8.83159i | 0.853158 | + | 0.619856i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.539933 | + | 1.66174i | −0.0377106 | + | 0.116061i | ||||
\(206\) | 0.402118 | + | 1.23759i | 0.0280169 | + | 0.0862271i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −4.51038 | −0.312738 | ||||||||
\(209\) | 17.7674 | + | 9.57019i | 1.22900 | + | 0.661984i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.3393 | + | 11.1447i | −1.05600 | + | 0.767230i | −0.973345 | − | 0.229348i | \(-0.926341\pi\) |
−0.0826575 | + | 0.996578i | \(0.526341\pi\) | |||||||
\(212\) | −0.885929 | − | 2.72661i | −0.0608459 | − | 0.187264i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.27005 | + | 0.922748i | 0.0868191 | + | 0.0630778i | ||||
\(215\) | −0.212805 | − | 0.154612i | −0.0145132 | − | 0.0105444i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.50396 | + | 7.70641i | 0.169980 | + | 0.523145i | ||||
\(218\) | −0.276348 | + | 0.200779i | −0.0187167 | + | 0.0135985i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.18183 | + | 6.49764i | −0.0796790 | + | 0.438071i | ||||
\(221\) | 3.85410 | 0.259255 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.50785 | + | 4.64070i | 0.100973 | + | 0.310764i | 0.988764 | − | 0.149483i | \(-0.0477609\pi\) |
−0.887791 | + | 0.460247i | \(0.847761\pi\) | |||||||
\(224\) | −1.55976 | + | 4.80045i | −0.104216 | + | 0.320743i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.900424 | + | 0.654197i | 0.0598953 | + | 0.0435165i | ||||
\(227\) | −5.04404 | + | 15.5240i | −0.334785 | + | 1.03036i | 0.632043 | + | 0.774933i | \(0.282216\pi\) |
−0.966828 | + | 0.255428i | \(0.917784\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.90890 | − | 2.83998i | 0.258307 | − | 0.187671i | −0.451093 | − | 0.892477i | \(-0.648966\pi\) |
0.709401 | + | 0.704806i | \(0.248966\pi\) | |||||||
\(230\) | 0.509871 | 0.0336199 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.23941 | −0.0813711 | ||||||||
\(233\) | −6.81172 | + | 4.94900i | −0.446251 | + | 0.324220i | −0.788114 | − | 0.615530i | \(-0.788942\pi\) |
0.341863 | + | 0.939750i | \(0.388942\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.13986 | − | 6.58580i | 0.139589 | − | 0.429610i | ||||
\(236\) | 11.3864 | + | 8.27272i | 0.741193 | + | 0.538508i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.441019 | − | 1.35732i | 0.0285870 | − | 0.0879819i | ||||
\(239\) | 7.01245 | + | 21.5821i | 0.453598 | + | 1.39603i | 0.872773 | + | 0.488126i | \(0.162319\pi\) |
−0.419175 | + | 0.907905i | \(0.637681\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.6065 | 0.747638 | 0.373819 | − | 0.927502i | \(-0.378048\pi\) | ||||
0.373819 | + | 0.927502i | \(0.378048\pi\) | |||||||
\(242\) | −0.565971 | − | 0.858902i | −0.0363820 | − | 0.0552123i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.03135 | − | 2.92894i | 0.258080 | − | 0.187506i | ||||
\(245\) | −4.16287 | − | 12.8120i | −0.265956 | − | 0.818528i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.62445 | + | 4.08640i | 0.357875 | + | 0.260011i | ||||
\(248\) | −0.540751 | − | 0.392879i | −0.0343377 | − | 0.0249478i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.0288961 | + | 0.0889332i | 0.00182755 | + | 0.00562463i | ||||
\(251\) | 2.68032 | − | 1.94736i | 0.169180 | − | 0.122917i | −0.499973 | − | 0.866041i | \(-0.666657\pi\) |
0.669153 | + | 0.743124i | \(0.266657\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.0761 | − | 12.4921i | 0.822090 | − | 0.785370i | ||||
\(254\) | −1.84800 | −0.115954 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.72952 | + | 14.5560i | 0.295595 | + | 0.909748i | ||||
\(257\) | 8.29606 | − | 25.5326i | 0.517494 | − | 1.59268i | −0.261204 | − | 0.965284i | \(-0.584120\pi\) |
0.778698 | − | 0.627399i | \(-0.215880\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.44965 | − | 3.95940i | −0.338625 | − | 0.246025i | ||||
\(260\) | −0.703052 | + | 2.16377i | −0.0436015 | + | 0.134192i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.146369 | − | 0.106343i | 0.00904269 | − | 0.00656990i | ||||
\(263\) | −12.1682 | −0.750324 | −0.375162 | − | 0.926959i | \(-0.622413\pi\) | ||||
−0.375162 | + | 0.926959i | \(0.622413\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.43976 | −0.0884436 | ||||||||
\(266\) | 2.08273 | − | 1.51319i | 0.127700 | − | 0.0927795i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.317879 | − | 0.978331i | 0.0194176 | − | 0.0597611i | ||||
\(269\) | −1.69369 | − | 1.23053i | −0.103266 | − | 0.0750270i | 0.534954 | − | 0.844881i | \(-0.320329\pi\) |
−0.638220 | + | 0.769854i | \(0.720329\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.67938 | − | 14.4017i | 0.284252 | − | 0.874838i | −0.702370 | − | 0.711812i | \(-0.747875\pi\) |
0.986622 | − | 0.163026i | \(-0.0521254\pi\) | |||||||
\(272\) | −4.11492 | − | 12.6644i | −0.249504 | − | 0.767894i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.17218 | −0.0708138 | ||||||||
\(275\) | 2.91998 | + | 1.57281i | 0.176081 | + | 0.0948441i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.69110 | + | 4.86137i | −0.402029 | + | 0.292091i | −0.770367 | − | 0.637601i | \(-0.779927\pi\) |
0.368338 | + | 0.929692i | \(0.379927\pi\) | |||||||
\(278\) | 0.324939 | + | 1.00006i | 0.0194885 | + | 0.0599795i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.36615 | + | 0.992564i | 0.0816429 | + | 0.0593171i | ||||
\(281\) | 1.97985 | + | 1.43844i | 0.118108 | + | 0.0858104i | 0.645271 | − | 0.763954i | \(-0.276744\pi\) |
−0.527163 | + | 0.849764i | \(0.676744\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.06372 | + | 24.8176i | 0.479339 | + | 1.47525i | 0.840016 | + | 0.542562i | \(0.182546\pi\) |
−0.360677 | + | 0.932691i | \(0.617454\pi\) | |||||||
\(284\) | 17.2860 | − | 12.5590i | 1.02574 | − | 0.745242i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.153619 | − | 0.319320i | −0.00908369 | − | 0.0188818i | ||||
\(287\) | 7.90553 | 0.466648 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.73710 | − | 5.34624i | −0.102182 | − | 0.314485i | ||||
\(290\) | −0.0959593 | + | 0.295332i | −0.00563492 | + | 0.0173425i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.15223 | − | 6.64949i | −0.535594 | − | 0.389132i | ||||
\(293\) | −4.15719 | + | 12.7945i | −0.242866 | + | 0.747463i | 0.753115 | + | 0.657889i | \(0.228551\pi\) |
−0.995980 | + | 0.0895739i | \(0.971449\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.71821 | − | 4.15452i | 0.332927 | − | 0.241886i | ||||
\(296\) | 0.555655 | 0.0322968 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.62087 | −0.0938944 | ||||||||
\(299\) | 5.04009 | − | 3.66184i | 0.291476 | − | 0.211770i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.367773 | + | 1.13189i | −0.0211981 | + | 0.0652409i | ||||
\(302\) | −0.000408830 | 0 | 0.000297032i | −2.35255e−5 | 0 | 1.70923e-5i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 7.42268 | − | 22.8447i | 0.425720 | − | 1.31023i | ||||
\(305\) | −0.773299 | − | 2.37997i | −0.0442790 | − | 0.136277i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.1844 | 1.55150 | 0.775748 | − | 0.631042i | \(-0.217373\pi\) | ||||
0.775748 | + | 0.631042i | \(0.217373\pi\) | |||||||
\(308\) | 29.6123 | − | 3.99921i | 1.68731 | − | 0.227876i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.135484 | + | 0.0984349i | −0.00769497 | + | 0.00559072i | ||||
\(311\) | 4.07872 | + | 12.5530i | 0.231283 | + | 0.711817i | 0.997593 | + | 0.0693450i | \(0.0220909\pi\) |
−0.766310 | + | 0.642472i | \(0.777909\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.0833 | − | 9.50561i | −0.739515 | − | 0.537289i | 0.153044 | − | 0.988219i | \(-0.451092\pi\) |
−0.892559 | + | 0.450931i | \(0.851092\pi\) | |||||||
\(314\) | 0.0419741 | + | 0.0304959i | 0.00236873 | + | 0.00172099i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.95531 | + | 21.4062i | 0.391267 | + | 1.20420i | ||||
\(317\) | −4.35344 | + | 3.16296i | −0.244514 | + | 0.177650i | −0.703292 | − | 0.710901i | \(-0.748287\pi\) |
0.458778 | + | 0.888551i | \(0.348287\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.77481 | + | 9.92514i | 0.267338 | + | 0.555701i | ||||
\(320\) | 7.79091 | 0.435525 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.712878 | − | 2.19401i | −0.0397271 | − | 0.122268i | ||||
\(323\) | −6.34266 | + | 19.5207i | −0.352915 | + | 1.08616i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.924349 | + | 0.671579i | 0.0512737 | + | 0.0372525i | ||||
\(326\) | 0.230137 | − | 0.708289i | 0.0127461 | − | 0.0392285i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.527573 | + | 0.383304i | −0.0291304 | + | 0.0211644i | ||||
\(329\) | −31.3311 | −1.72734 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.5702 | −1.02071 | −0.510356 | − | 0.859963i | \(-0.670486\pi\) | ||||
−0.510356 | + | 0.859963i | \(0.670486\pi\) | |||||||
\(332\) | −7.21852 | + | 5.24456i | −0.396168 | + | 0.287833i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.0990106 | − | 0.304723i | 0.00541762 | − | 0.0166737i | ||||
\(335\) | −0.417936 | − | 0.303648i | −0.0228343 | − | 0.0165901i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.78305 | − | 8.56535i | 0.151603 | − | 0.466585i | −0.846198 | − | 0.532868i | \(-0.821114\pi\) |
0.997801 | + | 0.0662836i | \(0.0211142\pi\) | |||||||
\(338\) | 0.337928 | + | 1.04003i | 0.0183808 | + | 0.0565704i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.71695 | −0.364278 | ||||||||
\(341\) | −1.06292 | + | 5.84388i | −0.0575604 | + | 0.316464i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −23.6877 | + | 17.2101i | −1.27902 | + | 0.929260i | ||||
\(344\) | −0.0303371 | − | 0.0933679i | −0.00163567 | − | 0.00503406i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.55591 | − | 1.13043i | −0.0836461 | − | 0.0607725i | ||||
\(347\) | 8.30939 | + | 6.03712i | 0.446071 | + | 0.324090i | 0.788043 | − | 0.615621i | \(-0.211095\pi\) |
−0.341971 | + | 0.939710i | \(0.611095\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.33402 | + | 16.4164i | 0.285524 | + | 0.878752i | 0.986241 | + | 0.165313i | \(0.0528633\pi\) |
−0.700718 | + | 0.713439i | \(0.747137\pi\) | |||||||
\(350\) | 0.342285 | − | 0.248685i | 0.0182959 | − | 0.0132928i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.67534 | + | 2.55585i | −0.142596 | + | 0.136227i | ||||
\(353\) | 22.8096 | 1.21403 | 0.607017 | − | 0.794689i | \(-0.292366\pi\) | ||||
0.607017 | + | 0.794689i | \(0.292366\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.31584 | − | 10.2051i | −0.175986 | − | 0.541631i | ||||
\(356\) | 8.16399 | − | 25.1262i | 0.432691 | − | 1.33169i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.193994 | + | 0.140945i | 0.0102529 | + | 0.00744916i | ||||
\(359\) | 4.96736 | − | 15.2879i | 0.262167 | − | 0.806867i | −0.730166 | − | 0.683270i | \(-0.760557\pi\) |
0.992333 | − | 0.123597i | \(-0.0394429\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −14.5820 | + | 10.5945i | −0.767475 | + | 0.557603i | ||||
\(362\) | −1.25461 | −0.0659408 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 10.2939 | 0.539545 | ||||||||
\(365\) | −4.59621 | + | 3.33934i | −0.240577 | + | 0.174789i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.79759 | − | 20.9208i | 0.354832 | − | 1.09206i | −0.601276 | − | 0.799042i | \(-0.705341\pi\) |
0.956107 | − | 0.293017i | \(-0.0946594\pi\) | |||||||
\(368\) | −17.4138 | − | 12.6519i | −0.907759 | − | 0.659525i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.0430208 | − | 0.132404i | 0.00223654 | − | 0.00688337i | ||||
\(371\) | 2.01301 | + | 6.19539i | 0.104510 | + | 0.321649i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −20.2604 | −1.04905 | −0.524523 | − | 0.851396i | \(-0.675756\pi\) | ||||
−0.524523 | + | 0.851396i | \(0.675756\pi\) | |||||||
\(374\) | 0.756449 | − | 0.722661i | 0.0391151 | − | 0.0373679i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.09087 | − | 1.51911i | 0.107828 | − | 0.0783419i | ||||
\(377\) | 1.17249 | + | 3.60854i | 0.0603861 | + | 0.185849i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.01578 | + | 2.19109i | 0.154910 | + | 0.112549i | 0.662540 | − | 0.749026i | \(-0.269478\pi\) |
−0.507630 | + | 0.861575i | \(0.669478\pi\) | |||||||
\(380\) | −9.80231 | − | 7.12180i | −0.502848 | − | 0.365341i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.525616 | + | 1.61768i | 0.0268928 | + | 0.0827677i | ||||
\(383\) | −8.89708 | + | 6.46411i | −0.454620 | + | 0.330301i | −0.791417 | − | 0.611277i | \(-0.790656\pi\) |
0.336797 | + | 0.941577i | \(0.390656\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.68535 | − | 14.7639i | 0.136858 | − | 0.752439i | ||||
\(386\) | −1.46704 | −0.0746706 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.06539 | + | 6.35663i | 0.104854 | + | 0.322709i | ||||
\(389\) | −2.89926 | + | 8.92300i | −0.146998 | + | 0.452414i | −0.997263 | − | 0.0739418i | \(-0.976442\pi\) |
0.850264 | + | 0.526356i | \(0.176442\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 14.8801 | + | 10.8110i | 0.752517 | + | 0.546736i | ||||
\(392\) | 1.55367 | − | 4.78171i | 0.0784723 | − | 0.241513i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.65287 | − | 1.20088i | 0.0832705 | − | 0.0604996i | ||||
\(395\) | 11.3033 | 0.568733 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.3136 | 1.11989 | 0.559945 | − | 0.828530i | \(-0.310822\pi\) | ||||
0.559945 | + | 0.828530i | \(0.310822\pi\) | |||||||
\(398\) | −0.344364 | + | 0.250195i | −0.0172614 | + | 0.0125411i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.21988 | − | 3.75440i | 0.0609940 | − | 0.187720i | ||||
\(401\) | −19.9683 | − | 14.5078i | −0.997171 | − | 0.724487i | −0.0356909 | − | 0.999363i | \(-0.511363\pi\) |
−0.961480 | + | 0.274876i | \(0.911363\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.632315 | + | 1.94606i | −0.0314978 | + | 0.0969404i | ||||
\(404\) | −5.74411 | − | 17.6786i | −0.285780 | − | 0.879541i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.40500 | 0.0697292 | ||||||||
\(407\) | −2.14066 | − | 4.44967i | −0.106109 | − | 0.220562i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −23.8705 | + | 17.3429i | −1.18032 | + | 0.857553i | −0.992208 | − | 0.124594i | \(-0.960237\pi\) |
−0.188113 | + | 0.982147i | \(0.560237\pi\) | |||||||
\(410\) | 0.0504891 | + | 0.155390i | 0.00249348 | + | 0.00767414i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −22.4181 | − | 16.2877i | −1.10446 | − | 0.802437i | ||||
\(413\) | −25.8722 | − | 18.7972i | −1.27309 | − | 0.924951i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.38467 | + | 4.26157i | 0.0679707 | + | 0.209192i | ||||
\(416\) | −1.03119 | + | 0.749203i | −0.0505582 | + | 0.0367327i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.87013 | − | 0.252566i | 0.0914713 | − | 0.0123534i | ||||
\(419\) | −9.03564 | −0.441420 | −0.220710 | − | 0.975339i | \(-0.570837\pi\) | ||||
−0.220710 | + | 0.975339i | \(0.570837\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.39426 | + | 13.5242i | 0.214163 | + | 0.659127i | 0.999212 | + | 0.0396928i | \(0.0126379\pi\) |
−0.785049 | + | 0.619434i | \(0.787362\pi\) | |||||||
\(422\) | −0.547884 | + | 1.68621i | −0.0266706 | + | 0.0820835i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.434725 | − | 0.315846i | −0.0211121 | − | 0.0153388i | ||||
\(425\) | −1.04238 | + | 3.20812i | −0.0505630 | + | 0.155617i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.16001 | + | 6.65514i | −0.443284 | + | 0.322065i | ||||
\(428\) | −33.4298 | −1.61589 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.0245970 | −0.00118617 | ||||||||
\(431\) | −1.40086 | + | 1.01778i | −0.0674769 | + | 0.0490248i | −0.621012 | − | 0.783801i | \(-0.713278\pi\) |
0.553535 | + | 0.832826i | \(0.313278\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.70062 | − | 17.5447i | 0.273955 | − | 0.843145i | −0.715540 | − | 0.698572i | \(-0.753819\pi\) |
0.989494 | − | 0.144573i | \(-0.0461809\pi\) | |||||||
\(434\) | 0.613000 | + | 0.445371i | 0.0294250 | + | 0.0213785i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.24777 | − | 6.91791i | 0.107649 | − | 0.331308i | ||||
\(437\) | 10.2525 | + | 31.5539i | 0.490442 | + | 1.50943i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −17.1704 | −0.819499 | −0.409750 | − | 0.912198i | \(-0.634384\pi\) | ||||
−0.409750 | + | 0.912198i | \(0.634384\pi\) | |||||||
\(440\) | 0.536632 | + | 1.11547i | 0.0255829 | + | 0.0531778i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.291567 | − | 0.211836i | 0.0138684 | − | 0.0100760i | ||||
\(443\) | −11.3098 | − | 34.8079i | −0.537344 | − | 1.65377i | −0.738529 | − | 0.674221i | \(-0.764479\pi\) |
0.201185 | − | 0.979553i | \(-0.435521\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −10.7337 | − | 7.79852i | −0.508828 | − | 0.369685i | ||||
\(446\) | 0.369141 | + | 0.268196i | 0.0174793 | + | 0.0126995i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −10.8929 | − | 33.5249i | −0.514641 | − | 1.58390i | ||||
\(449\) | −13.4320 | + | 9.75895i | −0.633897 | + | 0.460553i | −0.857748 | − | 0.514070i | \(-0.828137\pi\) |
0.223851 | + | 0.974623i | \(0.428137\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.10196 | + | 2.74811i | 0.240242 | + | 0.129404i | ||||
\(452\) | −23.7006 | −1.11478 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.471667 | + | 1.45164i | 0.0221365 | + | 0.0681290i | ||||
\(455\) | 1.59747 | − | 4.91652i | 0.0748907 | − | 0.230490i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 25.6178 | + | 18.6124i | 1.19835 | + | 0.870651i | 0.994121 | − | 0.108272i | \(-0.0345318\pi\) |
0.204227 | + | 0.978923i | \(0.434532\pi\) | |||||||
\(458\) | 0.139617 | − | 0.429696i | 0.00652385 | − | 0.0200784i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −8.78389 | + | 6.38187i | −0.409551 | + | 0.297556i | ||||
\(461\) | 25.4351 | 1.18463 | 0.592315 | − | 0.805706i | \(-0.298214\pi\) | ||||
0.592315 | + | 0.805706i | \(0.298214\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −16.3319 | −0.759007 | −0.379503 | − | 0.925190i | \(-0.623905\pi\) | ||||
−0.379503 | + | 0.925190i | \(0.623905\pi\) | |||||||
\(464\) | 10.6057 | − | 7.70549i | 0.492357 | − | 0.357718i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.243298 | + | 0.748795i | −0.0112706 | + | 0.0346873i | ||||
\(467\) | 6.90020 | + | 5.01329i | 0.319303 | + | 0.231987i | 0.735878 | − | 0.677114i | \(-0.236770\pi\) |
−0.416575 | + | 0.909101i | \(0.636770\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.722284 | + | 2.22296i | −0.0333520 | + | 0.102647i | ||||
\(470\) | −0.200098 | − | 0.615837i | −0.00922982 | − | 0.0284065i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.63797 | 0.121422 | ||||||||
\(473\) | −0.630814 | + | 0.602638i | −0.0290049 | + | 0.0277093i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.92268 | + | 3.57654i | −0.225868 | + | 0.164103i | ||||
\(476\) | 9.39133 | + | 28.9036i | 0.430451 | + | 1.32479i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 1.71673 | + | 1.24728i | 0.0785216 | + | 0.0570493i | ||||
\(479\) | 24.2283 | + | 17.6029i | 1.10702 | + | 0.804296i | 0.982192 | − | 0.187882i | \(-0.0601623\pi\) |
0.124827 | + | 0.992178i | \(0.460162\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.525653 | − | 1.61779i | −0.0239677 | − | 0.0737650i | ||||
\(482\) | 0.878041 | − | 0.637934i | 0.0399937 | − | 0.0290571i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 20.5010 | + | 7.71283i | 0.931862 | + | 0.350583i | ||||
\(485\) | 3.35655 | 0.152413 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.05768 | − | 18.6436i | −0.274500 | − | 0.844823i | −0.989351 | − | 0.145547i | \(-0.953506\pi\) |
0.714852 | − | 0.699276i | \(-0.246494\pi\) | |||||||
\(488\) | 0.288612 | − | 0.888257i | 0.0130649 | − | 0.0402095i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.01912 | − | 0.740434i | −0.0460391 | − | 0.0334494i | ||||
\(491\) | 4.87911 | − | 15.0163i | 0.220191 | − | 0.677678i | −0.778553 | − | 0.627579i | \(-0.784046\pi\) |
0.998744 | − | 0.0500997i | \(-0.0159539\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −9.06253 | + | 6.58432i | −0.408156 | + | 0.296543i | ||||
\(494\) | 0.650099 | 0.0292494 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 7.06980 | 0.317443 | ||||||||
\(497\) | −39.2773 | + | 28.5366i | −1.76183 | + | 1.28004i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.46350 | − | 10.6596i | 0.155048 | − | 0.477188i | −0.843118 | − | 0.537729i | \(-0.819283\pi\) |
0.998166 | + | 0.0605408i | \(0.0192825\pi\) | |||||||
\(500\) | −1.61096 | − | 1.17043i | −0.0720443 | − | 0.0523433i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.0957345 | − | 0.294640i | 0.00427284 | − | 0.0131504i | ||||
\(503\) | 0.105965 | + | 0.326125i | 0.00472473 | + | 0.0145412i | 0.953391 | − | 0.301737i | \(-0.0975666\pi\) |
−0.948666 | + | 0.316279i | \(0.897567\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.33498 | −0.415401 | ||||||||
\(506\) | 0.302613 | − | 1.66375i | 0.0134528 | − | 0.0739628i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 31.8368 | − | 23.1308i | 1.41253 | − | 1.02626i | ||||
\(509\) | 6.04518 | + | 18.6052i | 0.267948 | + | 0.824659i | 0.991000 | + | 0.133865i | \(0.0427389\pi\) |
−0.723052 | + | 0.690794i | \(0.757261\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 20.7957 | + | 15.1089i | 0.919946 | + | 0.668380i | ||||
\(512\) | 5.94673 | + | 4.32055i | 0.262811 | + | 0.190943i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.775763 | − | 2.38755i | −0.0342175 | − | 0.105311i | ||||
\(515\) | −11.2583 | + | 8.17961i | −0.496098 | + | 0.360436i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −20.2200 | − | 10.8913i | −0.889275 | − | 0.478998i | ||||
\(518\) | −0.629896 | −0.0276760 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.131773 | + | 0.405557i | 0.00577865 | + | 0.0177848i | ||||
\(521\) | −12.9869 | + | 39.9695i | −0.568966 | + | 1.75110i | 0.0868981 | + | 0.996217i | \(0.472305\pi\) |
−0.655864 | + | 0.754879i | \(0.727695\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −24.2790 | − | 17.6398i | −1.06165 | − | 0.771333i | −0.0872555 | − | 0.996186i | \(-0.527810\pi\) |
−0.974393 | + | 0.224853i | \(0.927810\pi\) | |||||||
\(524\) | −1.19054 | + | 3.66409i | −0.0520088 | + | 0.160067i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.920538 | + | 0.668810i | −0.0401374 | + | 0.0291615i | ||||
\(527\) | −6.04112 | −0.263155 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.73067 | 0.292638 | ||||||||
\(530\) | −0.108919 | + | 0.0791345i | −0.00473115 | + | 0.00343738i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −16.9405 | + | 52.1375i | −0.734464 | + | 2.26045i | ||||
\(533\) | 1.61508 | + | 1.17342i | 0.0699568 | + | 0.0508266i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.18787 | + | 15.9666i | −0.224291 | + | 0.690298i | ||||
\(536\) | −0.0595802 | − | 0.183369i | −0.00257347 | − | 0.00792033i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.195764 | −0.00843998 | ||||||||
\(539\) | −44.2773 | + | 5.97976i | −1.90716 | + | 0.257567i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.35196 | − | 6.06806i | 0.359079 | − | 0.260886i | −0.393589 | − | 0.919287i | \(-0.628767\pi\) |
0.752668 | + | 0.658400i | \(0.228767\pi\) | |||||||
\(542\) | −0.437568 | − | 1.34670i | −0.0187952 | − | 0.0578456i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.04442 | − | 2.21190i | −0.130529 | − | 0.0948346i | ||||
\(545\) | −2.95529 | − | 2.14714i | −0.126591 | − | 0.0919734i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.9221 | + | 39.7702i | 0.552510 | + | 1.70045i | 0.702431 | + | 0.711752i | \(0.252098\pi\) |
−0.149921 | + | 0.988698i | \(0.547902\pi\) | |||||||
\(548\) | 20.1939 | − | 14.6717i | 0.862641 | − | 0.626746i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.307347 | − | 0.0415079i | 0.0131053 | − | 0.00176990i | ||||
\(551\) | −20.2065 | −0.860826 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.8038 | − | 48.6392i | −0.672047 | − | 2.06835i | ||||
\(554\) | −0.238990 | + | 0.735536i | −0.0101537 | + | 0.0312499i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −18.1153 | − | 13.1616i | −0.768261 | − | 0.558174i | ||||
\(557\) | 11.8918 | − | 36.5993i | 0.503874 | − | 1.55076i | −0.298782 | − | 0.954321i | \(-0.596580\pi\) |
0.802656 | − | 0.596442i | \(-0.203420\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.243142 | + | 0.176653i | −0.0102838 | + | 0.00747163i | ||||
\(560\) | −17.8611 | −0.754768 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.228840 | 0.00965303 | ||||||||
\(563\) | 24.8258 | − | 18.0370i | 1.04628 | − | 0.760170i | 0.0747817 | − | 0.997200i | \(-0.476174\pi\) |
0.971502 | + | 0.237030i | \(0.0761740\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.67802 | + | 11.3198i | −0.154736 | + | 0.476227i | ||||
\(566\) | 1.97410 | + | 1.43427i | 0.0829775 | + | 0.0602867i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.23754 | − | 3.80877i | 0.0519262 | − | 0.159812i | ||||
\(569\) | −4.03220 | − | 12.4098i | −0.169039 | − | 0.520247i | 0.830273 | − | 0.557357i | \(-0.188185\pi\) |
−0.999311 | + | 0.0371104i | \(0.988185\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 16.1300 | 0.675018 | 0.337509 | − | 0.941322i | \(-0.390416\pi\) | ||||
0.337509 | + | 0.941322i | \(0.390416\pi\) | |||||||
\(572\) | 6.64331 | + | 3.57834i | 0.277771 | + | 0.149618i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.598062 | − | 0.434517i | 0.0249626 | − | 0.0181364i | ||||
\(575\) | 1.68494 | + | 5.18572i | 0.0702669 | + | 0.216259i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.7885 | + | 8.56487i | 0.490763 | + | 0.356560i | 0.805478 | − | 0.592626i | \(-0.201909\pi\) |
−0.314715 | + | 0.949186i | \(0.601909\pi\) | |||||||
\(578\) | −0.425263 | − | 0.308972i | −0.0176886 | − | 0.0128515i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.04341 | − | 6.28898i | −0.0848482 | − | 0.261136i | ||||
\(581\) | 16.4019 | − | 11.9167i | 0.680465 | − | 0.494387i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.854511 | + | 4.69806i | −0.0353902 | + | 0.194574i | ||||
\(584\) | −2.12036 | −0.0877411 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.388738 | + | 1.19641i | 0.0160586 | + | 0.0494234i | ||||
\(587\) | 8.61360 | − | 26.5099i | 0.355521 | − | 1.09418i | −0.600185 | − | 0.799861i | \(-0.704906\pi\) |
0.955707 | − | 0.294321i | \(-0.0950936\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.81605 | − | 6.40524i | −0.363259 | − | 0.263923i | ||||
\(590\) | 0.204241 | − | 0.628588i | 0.00840846 | − | 0.0258786i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.75478 | + | 3.45455i | −0.195420 | + | 0.141981i | ||||
\(593\) | −15.1037 | −0.620236 | −0.310118 | − | 0.950698i | \(-0.600369\pi\) | ||||
−0.310118 | + | 0.950698i | \(0.600369\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 15.2622 | 0.625690 | ||||||||
\(596\) | 27.9238 | − | 20.2878i | 1.14380 | − | 0.831023i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.180020 | − | 0.554044i | 0.00736156 | − | 0.0226566i | ||||
\(599\) | −20.9339 | − | 15.2093i | −0.855334 | − | 0.621437i | 0.0712774 | − | 0.997457i | \(-0.477292\pi\) |
−0.926612 | + | 0.376020i | \(0.877292\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.5321 | + | 44.7252i | −0.592776 | + | 1.82438i | −0.0272781 | + | 0.999628i | \(0.508684\pi\) |
−0.565498 | + | 0.824750i | \(0.691316\pi\) | |||||||
\(602\) | 0.0343904 | + | 0.105843i | 0.00140165 | + | 0.00431383i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.0107610 | 0.000437861 | ||||||||
\(605\) | 6.86526 | − | 8.59466i | 0.279112 | − | 0.349423i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 28.4967 | − | 20.7041i | 1.15665 | − | 0.840353i | 0.167297 | − | 0.985907i | \(-0.446496\pi\) |
0.989350 | + | 0.145553i | \(0.0464963\pi\) | |||||||
\(608\) | −2.09763 | − | 6.45584i | −0.0850701 | − | 0.261819i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.189313 | − | 0.137544i | −0.00766506 | − | 0.00556899i | ||||
\(611\) | −6.40086 | − | 4.65049i | −0.258951 | − | 0.188139i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −7.23461 | − | 22.2658i | −0.292203 | − | 0.899309i | −0.984147 | − | 0.177357i | \(-0.943245\pi\) |
0.691943 | − | 0.721952i | \(-0.256755\pi\) | |||||||
\(614\) | 2.05653 | − | 1.49416i | 0.0829948 | − | 0.0602993i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.04965 | − | 3.86876i | 0.163165 | − | 0.155877i | ||||
\(617\) | −22.8910 | −0.921557 | −0.460778 | − | 0.887515i | \(-0.652430\pi\) | ||||
−0.460778 | + | 0.887515i | \(0.652430\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.657441 | + | 2.02339i | 0.0264248 | + | 0.0813271i | 0.963399 | − | 0.268071i | \(-0.0863861\pi\) |
−0.936974 | + | 0.349398i | \(0.886386\pi\) | |||||||
\(620\) | 1.10200 | − | 3.39161i | 0.0442574 | − | 0.136210i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.998521 | + | 0.725468i | 0.0400370 | + | 0.0290886i | ||||
\(623\) | −18.5502 | + | 57.0916i | −0.743198 | + | 2.28733i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.809017 | + | 0.587785i | −0.0323607 | + | 0.0235114i | ||||
\(626\) | −1.51223 | −0.0604410 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.10482 | −0.0440873 | ||||||||
\(629\) | 4.06294 | − | 2.95190i | 0.162000 | − | 0.117700i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.77702 | − | 14.7022i | 0.190170 | − | 0.585284i | −0.809829 | − | 0.586666i | \(-0.800440\pi\) |
0.999999 | + | 0.00138227i | \(0.000439991\pi\) | |||||||
\(632\) | 3.41296 | + | 2.47966i | 0.135760 | + | 0.0986357i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.155494 | + | 0.478563i | −0.00617547 | + | 0.0190062i | ||||
\(635\) | −6.10700 | − | 18.7954i | −0.242349 | − | 0.745873i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −15.3918 | −0.609844 | ||||||||
\(638\) | 0.906743 | + | 0.488406i | 0.0358983 | + | 0.0193362i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.39444 | − | 1.73967i | 0.0946487 | − | 0.0687663i | ||||
\(641\) | −4.38201 | − | 13.4864i | −0.173079 | − | 0.532682i | 0.826461 | − | 0.562993i | \(-0.190350\pi\) |
−0.999541 | + | 0.0303108i | \(0.990350\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.0270 | + | 7.28504i | 0.395426 | + | 0.287294i | 0.767675 | − | 0.640839i | \(-0.221413\pi\) |
−0.372249 | + | 0.928133i | \(0.621413\pi\) | |||||||
\(644\) | 39.7429 | + | 28.8749i | 1.56609 | + | 1.13783i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.593101 | + | 1.82538i | 0.0233352 | + | 0.0718185i | ||||
\(647\) | 26.8970 | − | 19.5418i | 1.05743 | − | 0.768267i | 0.0838181 | − | 0.996481i | \(-0.473289\pi\) |
0.973611 | + | 0.228214i | \(0.0732885\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10.1628 | − | 21.1248i | −0.398923 | − | 0.829220i | ||||
\(650\) | 0.106840 | 0.00419063 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.90068 | + | 15.0827i | 0.191925 | + | 0.590685i | ||||
\(653\) | 10.7558 | − | 33.1030i | 0.420908 | − | 1.29542i | −0.485951 | − | 0.873986i | \(-0.661526\pi\) |
0.906858 | − | 0.421435i | \(-0.138474\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.56528 | + | 1.13724i | 0.0611604 | + | 0.0444356i | ||||
\(656\) | 2.13145 | − | 6.55992i | 0.0832191 | − | 0.256122i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.37023 | + | 1.72207i | −0.0924011 | + | 0.0671334i | ||||
\(659\) | 34.4953 | 1.34375 | 0.671873 | − | 0.740666i | \(-0.265490\pi\) | ||||
0.671873 | + | 0.740666i | \(0.265490\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.77827 | 0.0691668 | 0.0345834 | − | 0.999402i | \(-0.488990\pi\) | ||||
0.0345834 | + | 0.999402i | \(0.488990\pi\) | |||||||
\(662\) | −1.40486 | + | 1.02069i | −0.0546014 | + | 0.0396702i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.516788 | + | 1.59051i | −0.0200553 | + | 0.0617238i | ||||
\(665\) | 22.2728 | + | 16.1821i | 0.863701 | + | 0.627516i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.59541 | + | 17.2209i | −0.216655 | + | 0.666796i | ||||
\(668\) | 2.10839 | + | 6.48896i | 0.0815761 | + | 0.251065i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.0483070 | −0.00186626 | ||||||||
\(671\) | −8.22502 | + | 1.11081i | −0.317523 | + | 0.0428823i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −15.6111 | + | 11.3422i | −0.601765 | + | 0.437208i | −0.846505 | − | 0.532381i | \(-0.821297\pi\) |
0.244740 | + | 0.969589i | \(0.421297\pi\) | |||||||
\(674\) | −0.260243 | − | 0.800945i | −0.0100242 | − | 0.0308513i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −18.8395 | − | 13.6877i | −0.724595 | − | 0.526449i | ||||
\(677\) | −13.6805 | − | 9.93949i | −0.525786 | − | 0.382006i | 0.292993 | − | 0.956114i | \(-0.405349\pi\) |
−0.818779 | + | 0.574109i | \(0.805349\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.69298 | − | 14.4435i | −0.180100 | − | 0.554291i | ||||
\(680\) | −1.01852 | + | 0.739998i | −0.0390585 | + | 0.0283776i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.240791 | + | 0.500518i | 0.00922035 | + | 0.0191658i | ||||
\(683\) | −4.14018 | −0.158420 | −0.0792098 | − | 0.996858i | \(-0.525240\pi\) | ||||
−0.0792098 | + | 0.996858i | \(0.525240\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.87363 | − | 11.9218i | −0.148004 | − | 0.455509i | ||||
\(686\) | −0.846069 | + | 2.60393i | −0.0323031 | + | 0.0994186i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.840072 | + | 0.610348i | 0.0320274 | + | 0.0232693i | ||||
\(689\) | −0.508335 | + | 1.56450i | −0.0193660 | + | 0.0596025i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 37.4996 | − | 27.2450i | 1.42655 | − | 1.03645i | 0.435904 | − | 0.899993i | \(-0.356429\pi\) |
0.990646 | − | 0.136457i | \(-0.0435714\pi\) | |||||||
\(692\) | 40.9539 | 1.55684 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.960437 | 0.0364577 | ||||||||
\(695\) | −9.09743 | + | 6.60967i | −0.345085 | + | 0.250719i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.82132 | + | 5.60543i | −0.0689872 | + | 0.212321i | ||||
\(698\) | 1.30583 | + | 0.948743i | 0.0494265 | + | 0.0359105i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.78408 | + | 8.56853i | −0.105228 | + | 0.323860i | ||||
\(701\) | 14.0465 | + | 43.2306i | 0.530528 | + | 1.63280i | 0.753119 | + | 0.657884i | \(0.228548\pi\) |
−0.222591 | + | 0.974912i | \(0.571452\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 9.05904 | 0.341668 | ||||||||
\(704\) | 4.62398 | − | 25.4224i | 0.174273 | − | 0.958143i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.72557 | − | 1.25370i | 0.0649428 | − | 0.0471837i | ||||
\(707\) | 13.0518 | + | 40.1692i | 0.490862 | + | 1.51072i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.3458 | + | 8.24318i | 0.426099 | + | 0.309579i | 0.780087 | − | 0.625671i | \(-0.215175\pi\) |
−0.353988 | + | 0.935250i | \(0.615175\pi\) | |||||||
\(710\) | −0.811757 | − | 0.589776i | −0.0304647 | − | 0.0221339i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.53018 | − | 4.70941i | −0.0573460 | − | 0.176493i | ||||
\(713\) | −7.90010 | + | 5.73976i | −0.295861 | + | 0.214956i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.74003 | − | 2.61764i | 0.102471 | − | 0.0978943i | ||||
\(716\) | −5.10622 | −0.190829 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.464497 | − | 1.42957i | −0.0173349 | − | 0.0533512i | ||||
\(719\) | −4.05999 | + | 12.4954i | −0.151412 | + | 0.465998i | −0.997780 | − | 0.0666007i | \(-0.978785\pi\) |
0.846368 | + | 0.532599i | \(0.178785\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 50.9383 | + | 37.0088i | 1.89704 | + | 1.37828i | ||||
\(722\) | −0.520835 | + | 1.60297i | −0.0193835 | + | 0.0596562i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 21.6140 | − | 15.7035i | 0.803279 | − | 0.583616i | ||||
\(725\) | −3.32083 | −0.123333 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −18.3635 | −0.681063 | −0.340532 | − | 0.940233i | \(-0.610607\pi\) | ||||
−0.340532 | + | 0.940233i | \(0.610607\pi\) | |||||||
\(728\) | 1.56090 | − | 1.13406i | 0.0578509 | − | 0.0420312i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.164166 | + | 0.505250i | −0.00607604 | + | 0.0187001i | ||||
\(731\) | −0.717839 | − | 0.521540i | −0.0265502 | − | 0.0192899i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −11.4329 | + | 35.1869i | −0.422284 | + | 1.29966i | 0.483287 | + | 0.875462i | \(0.339443\pi\) |
−0.905571 | + | 0.424195i | \(0.860557\pi\) | |||||||
\(734\) | −0.635642 | − | 1.95631i | −0.0234620 | − | 0.0722086i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.08282 | −0.224216 | ||||||||
\(737\) | −1.23888 | + | 1.18354i | −0.0456348 | + | 0.0435964i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.96909 | + | 5.78988i | −0.293148 | + | 0.212984i | −0.724632 | − | 0.689136i | \(-0.757990\pi\) |
0.431484 | + | 0.902121i | \(0.357990\pi\) | |||||||
\(740\) | 0.916110 | + | 2.81950i | 0.0336769 | + | 0.103647i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.492808 | + | 0.358046i | 0.0180915 | + | 0.0131443i | ||||
\(743\) | 22.2052 | + | 16.1330i | 0.814629 | + | 0.591862i | 0.915169 | − | 0.403071i | \(-0.132057\pi\) |
−0.100540 | + | 0.994933i | \(0.532057\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.35640 | − | 16.4853i | −0.196243 | − | 0.603974i | ||||
\(746\) | −1.53272 | + | 1.11359i | −0.0561170 | + | 0.0407714i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −3.98658 | + | 21.9180i | −0.145764 | + | 0.801401i | ||||
\(749\) | 75.9591 | 2.77549 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.24232 | + | 13.0565i | 0.154804 | + | 0.476439i | 0.998141 | − | 0.0609469i | \(-0.0194120\pi\) |
−0.843337 | + | 0.537385i | \(0.819412\pi\) | |||||||
\(752\) | −8.44732 | + | 25.9982i | −0.308042 | + | 0.948056i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.287039 | + | 0.208546i | 0.0104533 | + | 0.00759479i | ||||
\(755\) | 0.00166997 | − | 0.00513965i | 6.07766e−5 | − | 0.000187051i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 18.5507 | − | 13.4779i | 0.674236 | − | 0.489861i | −0.197205 | − | 0.980362i | \(-0.563186\pi\) |
0.871440 | + | 0.490501i | \(0.163186\pi\) | |||||||
\(758\) | 0.348578 | 0.0126609 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.27097 | −0.0823767 | ||||||||
\(761\) | −16.7319 | + | 12.1565i | −0.606533 | + | 0.440672i | −0.848192 | − | 0.529689i | \(-0.822308\pi\) |
0.241659 | + | 0.970361i | \(0.422308\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.10737 | + | 15.7189i | −0.184899 | + | 0.569061i | ||||
\(764\) | −29.3031 | − | 21.2899i | −1.06015 | − | 0.770243i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.317783 | + | 0.978034i | −0.0114819 | + | 0.0353378i | ||||
\(767\) | −2.49553 | − | 7.68046i | −0.0901084 | − | 0.277325i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 38.4306 | 1.38584 | 0.692922 | − | 0.721013i | \(-0.256323\pi\) | ||||
0.692922 | + | 0.721013i | \(0.256323\pi\) | |||||||
\(770\) | −0.608331 | − | 1.26450i | −0.0219227 | − | 0.0455696i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 25.2738 | − | 18.3625i | 0.909624 | − | 0.660880i | ||||
\(773\) | −15.4325 | − | 47.4964i | −0.555069 | − | 1.70833i | −0.695762 | − | 0.718272i | \(-0.744933\pi\) |
0.140693 | − | 0.990053i | \(-0.455067\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.44887 | − | 1.05267i | −0.0520451 | − | 0.0378129i | ||||
\(776\) | 1.01349 | + | 0.736341i | 0.0363821 | + | 0.0264331i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.271109 | + | 0.834389i | 0.00971975 | + | 0.0299143i | ||||
\(779\) | −8.60121 | + | 6.24914i | −0.308170 | + | 0.223899i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −35.2681 | + | 4.76305i | −1.26199 | + | 0.170435i | ||||
\(782\) | 1.71991 | 0.0615037 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 16.4334 | + | 50.5767i | 0.586906 | + | 1.80631i | ||||
\(785\) | −0.171454 | + | 0.527682i | −0.00611946 | + | 0.0188338i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 12.5834 | + | 9.14241i | 0.448551 | + | 0.325892i | 0.789024 | − | 0.614363i | \(-0.210587\pi\) |
−0.340472 | + | 0.940255i | \(0.610587\pi\) | |||||||
\(788\) | −13.4442 | + | 41.3769i | −0.478928 | + | 1.47399i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.855110 | − | 0.621274i | 0.0304235 | − | 0.0221039i | ||||
\(791\) | 53.8524 | 1.91477 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.85919 | −0.101533 | ||||||||
\(794\) | 1.68805 | − | 1.22644i | 0.0599067 | − | 0.0435248i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.80099 | − | 8.62057i | 0.0992786 | − | 0.305548i | ||||
\(797\) | 37.3012 | + | 27.1009i | 1.32127 | + | 0.959962i | 0.999915 | + | 0.0130049i | \(0.00413972\pi\) |
0.321359 | + | 0.946957i | \(0.395860\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.21821 | − | 22.2154i | 0.255362 | − | 0.785923i | ||||
\(800\) | −0.344735 | − | 1.06098i | −0.0121882 | − | 0.0375114i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −2.30803 | −0.0814994 | ||||||||
\(803\) | 8.16868 | + | 16.9798i | 0.288266 | + | 0.599203i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 19.9587 | − | 14.5009i | 0.703453 | − | 0.511088i | ||||
\(806\) | 0.0591277 | + | 0.181976i | 0.00208268 | + | 0.00640984i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.81863 | − | 2.04786i | −0.0991591 | − | 0.0720433i | ||||
\(809\) | −30.3700 | − | 22.0651i | −1.06775 | − | 0.775767i | −0.0922454 | − | 0.995736i | \(-0.529404\pi\) |
−0.975507 | + | 0.219969i | \(0.929404\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.22661 | + | 6.85281i | 0.0781870 | + | 0.240635i | 0.982509 | − | 0.186217i | \(-0.0596227\pi\) |
−0.904322 | + | 0.426852i | \(0.859623\pi\) | |||||||
\(812\) | −24.2050 | + | 17.5859i | −0.849428 | + | 0.617146i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.406514 | − | 0.218964i | −0.0142483 | − | 0.00767468i | ||||
\(815\) | 7.96428 | 0.278977 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.494596 | − | 1.52221i | −0.0173037 | − | 0.0532554i | ||||
\(818\) | −0.852597 | + | 2.62402i | −0.0298104 | + | 0.0917469i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.81477 | − | 2.04505i | −0.0982960 | − | 0.0714162i | ||||
\(821\) | 2.66807 | − | 8.21147i | 0.0931163 | − | 0.286582i | −0.893642 | − | 0.448781i | \(-0.851858\pi\) |
0.986758 | + | 0.162198i | \(0.0518584\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 20.2352 | − | 14.7017i | 0.705354 | − | 0.512470i | −0.176318 | − | 0.984333i | \(-0.556419\pi\) |
0.881672 | + | 0.471864i | \(0.156419\pi\) | |||||||
\(824\) | −5.19375 | −0.180933 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.99042 | −0.104050 | ||||||||
\(827\) | 39.5387 | − | 28.7265i | 1.37489 | − | 0.998919i | 0.377558 | − | 0.925986i | \(-0.376764\pi\) |
0.997337 | − | 0.0729332i | \(-0.0232360\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.63522 | − | 5.03270i | 0.0567937 | − | 0.174793i | −0.918636 | − | 0.395106i | \(-0.870708\pi\) |
0.975429 | + | 0.220313i | \(0.0707079\pi\) | |||||||
\(830\) | 0.338983 | + | 0.246286i | 0.0117663 | + | 0.00854871i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.75073 | − | 8.46589i | 0.0953645 | − | 0.293502i | ||||
\(833\) | −14.0423 | − | 43.2177i | −0.486536 | − | 1.49740i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.42643 | 0.118576 | ||||||||
\(836\) | −29.0568 | + | 27.7590i | −1.00495 | + | 0.960064i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.683556 | + | 0.496633i | −0.0236131 | + | 0.0171559i | ||||
\(839\) | 4.09196 | + | 12.5938i | 0.141270 | + | 0.434785i | 0.996513 | − | 0.0834435i | \(-0.0265918\pi\) |
−0.855242 | + | 0.518228i | \(0.826592\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.5397 | + | 10.5637i | 0.501369 | + | 0.364266i | ||||
\(842\) | 1.07577 | + | 0.781592i | 0.0370734 | + | 0.0269354i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −11.6670 | − | 35.9072i | −0.401593 | − | 1.23598i | ||||
\(845\) | −9.46110 | + | 6.87389i | −0.325472 | + | 0.236469i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −46.5822 | − | 17.5251i | −1.60058 | − | 0.602168i | ||||
\(848\) | 5.68361 | 0.195176 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.0974731 | + | 0.299991i | 0.00334330 | + | 0.0102896i | ||||
\(851\) | 2.50855 | − | 7.72053i | 0.0859920 | − | 0.264656i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.79509 | − | 1.30421i | −0.0614626 | − | 0.0446552i | 0.556630 | − | 0.830761i | \(-0.312094\pi\) |
−0.618092 | + | 0.786106i | \(0.712094\pi\) | |||||||
\(854\) | −0.327174 | + | 1.00694i | −0.0111956 | + | 0.0344567i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.06911 | + | 3.68292i | −0.173259 | + | 0.125880i | ||||
\(857\) | −31.4625 | −1.07474 | −0.537368 | − | 0.843348i | \(-0.680582\pi\) | ||||
−0.537368 | + | 0.843348i | \(0.680582\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.07676 | 0.309695 | 0.154848 | − | 0.987938i | \(-0.450511\pi\) | ||||
0.154848 | + | 0.987938i | \(0.450511\pi\) | |||||||
\(860\) | 0.423749 | − | 0.307872i | 0.0144497 | − | 0.0104983i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.0500352 | + | 0.153993i | −0.00170421 | + | 0.00524501i | ||||
\(863\) | 34.3704 | + | 24.9716i | 1.16998 | + | 0.850042i | 0.991007 | − | 0.133811i | \(-0.0427215\pi\) |
0.178976 | + | 0.983853i | \(0.442721\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.35552 | − | 19.5603i | 0.216094 | − | 0.665069i | ||||
\(866\) | −0.533065 | − | 1.64060i | −0.0181143 | − | 0.0557500i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −16.1351 | −0.547662 | ||||||||
\(869\) | 6.70865 | − | 36.8838i | 0.227575 | − | 1.25120i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.477516 | + | 0.346936i | −0.0161800 | + | 0.0117555i | ||||
\(872\) | −0.421300 | − | 1.29663i | −0.0142670 | − | 0.0439094i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.50993 | + | 1.82357i | 0.0848996 | + | 0.0616832i | ||||
\(875\) | 3.66042 | + | 2.65945i | 0.123745 | + | 0.0899058i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −9.67537 | − | 29.7777i | −0.326714 | − | 1.00552i | −0.970661 | − | 0.240452i | \(-0.922704\pi\) |
0.643947 | − | 0.765070i | \(-0.277296\pi\) | |||||||
\(878\) | −1.29896 | + | 0.943750i | −0.0438378 | + | 0.0318500i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −11.5269 | − | 6.20885i | −0.388573 | − | 0.209300i | ||||
\(881\) | −21.5189 | −0.724990 | −0.362495 | − | 0.931986i | \(-0.618075\pi\) | ||||
−0.362495 | + | 0.931986i | \(0.618075\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.201650 | − | 0.620614i | −0.00678605 | − | 0.0208853i | 0.947606 | − | 0.319441i | \(-0.103495\pi\) |
−0.954392 | + | 0.298556i | \(0.903495\pi\) | |||||||
\(884\) | −2.37155 | + | 7.29889i | −0.0797639 | + | 0.245488i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.76877 | − | 2.01163i | −0.0930187 | − | 0.0675820i | ||||
\(887\) | 4.52593 | − | 13.9294i | 0.151966 | − | 0.467702i | −0.845875 | − | 0.533381i | \(-0.820921\pi\) |
0.997841 | + | 0.0656786i | \(0.0209212\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −72.3396 | + | 52.5578i | −2.42619 | + | 1.76273i | ||||
\(890\) | −1.24065 | −0.0415868 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −9.71637 | −0.325328 | ||||||||
\(893\) | 34.0882 | − | 24.7665i | 1.14072 | − | 0.828780i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.792419 | + | 2.43882i | −0.0264877 | + | 0.0815206i | ||||
\(896\) | −10.8337 | − | 7.87116i | −0.361929 | − | 0.262957i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.479760 | + | 1.47655i | −0.0160098 | + | 0.0492731i | ||||
\(899\) | −1.83782 | − | 5.65622i | −0.0612946 | − | 0.188645i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.85662 | −0.161798 | ||||||||
\(902\) | 0.537016 | − | 0.0725252i | 0.0178807 | − | 0.00241483i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −3.59382 | + | 2.61107i | −0.119529 | + | 0.0868428i | ||||
\(905\) | −4.14604 | − | 12.7602i | −0.137819 | − | 0.424163i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −23.2552 | − | 16.8959i | −0.772175 | − | 0.561018i | 0.130445 | − | 0.991456i | \(-0.458359\pi\) |
−0.902620 | + | 0.430437i | \(0.858359\pi\) | |||||||
\(908\) | −26.2955 | − | 19.1048i | −0.872645 | − | 0.634014i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.149380 | − | 0.459743i | −0.00495188 | − | 0.0152403i | ||||
\(911\) | 13.9813 | − | 10.1580i | 0.463222 | − | 0.336550i | −0.331572 | − | 0.943430i | \(-0.607579\pi\) |
0.794794 | + | 0.606880i | \(0.207579\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 14.7277 | − | 1.98901i | 0.487416 | − | 0.0658266i | ||||
\(914\) | 2.96102 | 0.0979418 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.97308 | + | 9.15020i | 0.0982333 | + | 0.302331i | ||||
\(917\) | 2.70513 | − | 8.32554i | 0.0893313 | − | 0.274933i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.77859 | + | 1.29222i | 0.0586701 | + | 0.0426263i | 0.616734 | − | 0.787172i | \(-0.288456\pi\) |
−0.558064 | + | 0.829798i | \(0.688456\pi\) | |||||||
\(920\) | −0.628857 | + | 1.93542i | −0.0207328 | + | 0.0638090i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.92419 | − | 1.39801i | 0.0633699 | − | 0.0460409i | ||||
\(923\) | −12.2600 | −0.403542 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.48881 | 0.0489517 | ||||||||
\(926\) | −1.23552 | + | 0.897661i | −0.0406019 | + | 0.0294990i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.14481 | − | 3.52335i | 0.0375801 | − | 0.115660i | ||||
\(929\) | 19.5866 | + | 14.2305i | 0.642616 | + | 0.466888i | 0.860748 | − | 0.509031i | \(-0.169996\pi\) |
−0.218132 | + | 0.975919i | \(0.569996\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 25.3301 | − | 77.9579i | 0.830159 | − | 2.55497i | ||||
\(932\) | −5.18094 | − | 15.9453i | −0.169707 | − | 0.522305i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.797556 | 0.0260968 | ||||||||
\(935\) | 9.84973 | + | 5.30544i | 0.322121 | + | 0.173506i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 16.8459 | − | 12.2393i | 0.550333 | − | 0.399840i | −0.277575 | − | 0.960704i | \(-0.589531\pi\) |
0.827908 | + | 0.560864i | \(0.189531\pi\) | |||||||
\(938\) | 0.0675407 | + | 0.207869i | 0.00220528 | + | 0.00678716i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 11.1554 | + | 8.10491i | 0.363851 | + | 0.264353i | ||||
\(941\) | 27.6787 | + | 20.1098i | 0.902301 | + | 0.655560i | 0.939056 | − | 0.343764i | \(-0.111702\pi\) |
−0.0367552 | + | 0.999324i | \(0.511702\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.94403 | + | 9.06080i | 0.0958709 | + | 0.295060i | ||||
\(944\) | −22.5733 | + | 16.4004i | −0.734697 | + | 0.533789i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.0145986 | + | 0.0802621i | −0.000474640 | + | 0.00260955i | ||||
\(947\) | −33.8128 | −1.09877 | −0.549383 | − | 0.835570i | \(-0.685137\pi\) | ||||
−0.549383 | + | 0.835570i | \(0.685137\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.00587 | + | 6.17344i | 0.0651133 | + | 0.200398i | ||||
\(950\) | −0.175826 | + | 0.541138i | −0.00570456 | + | 0.0175568i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.60832 | + | 3.34814i | 0.149356 | + | 0.108514i | ||||
\(953\) | −7.91027 | + | 24.3453i | −0.256239 | + | 0.788622i | 0.737344 | + | 0.675517i | \(0.236080\pi\) |
−0.993583 | + | 0.113105i | \(0.963920\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −14.7159 | + | 10.6917i | −0.476195 | + | 0.345976i | ||||
\(956\) | −45.1871 | −1.46146 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 2.80042 | 0.0904774 | ||||||||
\(959\) | −45.8845 | + | 33.3371i | −1.48169 | + | 1.07651i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.58840 | + | 26.4324i | −0.277045 | + | 0.852658i | ||||
\(962\) | −0.128686 | − | 0.0934959i | −0.00414901 | − | 0.00301443i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.14182 | + | 21.9803i | −0.230023 | + | 0.707937i | ||||
\(965\) | −4.84806 | − | 14.9208i | −0.156065 | − | 0.480317i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 43.8942 | 1.41154 | 0.705772 | − | 0.708439i | \(-0.250600\pi\) | ||||
0.705772 | + | 0.708439i | \(0.250600\pi\) | |||||||
\(968\) | 3.95836 | − | 1.08904i | 0.127227 | − | 0.0350029i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.253927 | − | 0.184489i | 0.00815310 | − | 0.00592357i | ||||
\(971\) | −11.2392 | − | 34.5906i | −0.360682 | − | 1.11006i | −0.952641 | − | 0.304097i | \(-0.901645\pi\) |
0.591959 | − | 0.805968i | \(-0.298355\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 41.1616 | + | 29.9056i | 1.31958 | + | 0.958730i | ||||
\(974\) | −1.48299 | − | 1.07746i | −0.0475182 | − | 0.0345240i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.05269 | + | 9.39520i | 0.0977141 | + | 0.300733i | ||||
\(977\) | 8.37462 | − | 6.08452i | 0.267928 | − | 0.194661i | −0.445707 | − | 0.895179i | \(-0.647048\pi\) |
0.713635 | + | 0.700518i | \(0.247048\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −31.8178 | + | 30.3966i | −1.01690 | + | 0.971481i | ||||
\(980\) | 26.8248 | 0.856888 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.456245 | − | 1.40418i | −0.0145594 | − | 0.0448091i | ||||
\(983\) | 6.83416 | − | 21.0334i | 0.217976 | − | 0.670861i | −0.780953 | − | 0.624590i | \(-0.785266\pi\) |
0.998929 | − | 0.0462712i | \(-0.0147338\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 17.6759 | + | 12.8423i | 0.563201 | + | 0.409190i | ||||
\(986\) | −0.323692 | + | 0.996222i | −0.0103085 | + | 0.0317262i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −11.1997 | + | 8.13707i | −0.356310 | + | 0.258875i | ||||
\(989\) | −1.43426 | −0.0456067 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −55.5911 | −1.76591 | −0.882955 | − | 0.469457i | \(-0.844450\pi\) | ||||
−0.882955 | + | 0.469457i | \(0.844450\pi\) | |||||||
\(992\) | 1.61634 | − | 1.17434i | 0.0513189 | − | 0.0372853i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.40289 | + | 4.31765i | −0.0444970 | + | 0.136948i | ||||
\(995\) | −3.68265 | − | 2.67560i | −0.116748 | − | 0.0848222i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.33465 | − | 10.2630i | 0.105609 | − | 0.325032i | −0.884264 | − | 0.466988i | \(-0.845339\pi\) |
0.989873 | + | 0.141956i | \(0.0453391\pi\) | |||||||
\(998\) | −0.323872 | − | 0.996775i | −0.0102520 | − | 0.0315524i | ||||
\(999\) | 0 | 0 |
(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 | 495.2.n.f.91.1 | 8 | ||
3.2 | odd | 2 | 55.2.g.a.36.2 | yes | 8 | ||
11.2 | odd | 10 | 5445.2.a.bu.1.2 | 4 | |||
11.4 | even | 5 | inner | 495.2.n.f.136.1 | 8 | ||
11.9 | even | 5 | 5445.2.a.bg.1.3 | 4 | |||
12.11 | even | 2 | 880.2.bo.e.641.1 | 8 | |||
15.2 | even | 4 | 275.2.z.b.124.2 | 16 | |||
15.8 | even | 4 | 275.2.z.b.124.3 | 16 | |||
15.14 | odd | 2 | 275.2.h.b.201.1 | 8 | |||
33.2 | even | 10 | 605.2.a.i.1.3 | 4 | |||
33.5 | odd | 10 | 605.2.g.j.251.1 | 8 | |||
33.8 | even | 10 | 605.2.g.g.511.2 | 8 | |||
33.14 | odd | 10 | 605.2.g.j.511.1 | 8 | |||
33.17 | even | 10 | 605.2.g.g.251.2 | 8 | |||
33.20 | odd | 10 | 605.2.a.l.1.2 | 4 | |||
33.26 | odd | 10 | 55.2.g.a.26.2 | ✓ | 8 | ||
33.29 | even | 10 | 605.2.g.n.81.1 | 8 | |||
33.32 | even | 2 | 605.2.g.n.366.1 | 8 | |||
132.35 | odd | 10 | 9680.2.a.cv.1.1 | 4 | |||
132.59 | even | 10 | 880.2.bo.e.81.1 | 8 | |||
132.119 | even | 10 | 9680.2.a.cs.1.1 | 4 | |||
165.59 | odd | 10 | 275.2.h.b.26.1 | 8 | |||
165.92 | even | 20 | 275.2.z.b.224.3 | 16 | |||
165.119 | odd | 10 | 3025.2.a.v.1.3 | 4 | |||
165.134 | even | 10 | 3025.2.a.be.1.2 | 4 | |||
165.158 | even | 20 | 275.2.z.b.224.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
55.2.g.a.26.2 | ✓ | 8 | 33.26 | odd | 10 | ||
55.2.g.a.36.2 | yes | 8 | 3.2 | odd | 2 | ||
275.2.h.b.26.1 | 8 | 165.59 | odd | 10 | |||
275.2.h.b.201.1 | 8 | 15.14 | odd | 2 | |||
275.2.z.b.124.2 | 16 | 15.2 | even | 4 | |||
275.2.z.b.124.3 | 16 | 15.8 | even | 4 | |||
275.2.z.b.224.2 | 16 | 165.158 | even | 20 | |||
275.2.z.b.224.3 | 16 | 165.92 | even | 20 | |||
495.2.n.f.91.1 | 8 | 1.1 | even | 1 | trivial | ||
495.2.n.f.136.1 | 8 | 11.4 | even | 5 | inner | ||
605.2.a.i.1.3 | 4 | 33.2 | even | 10 | |||
605.2.a.l.1.2 | 4 | 33.20 | odd | 10 | |||
605.2.g.g.251.2 | 8 | 33.17 | even | 10 | |||
605.2.g.g.511.2 | 8 | 33.8 | even | 10 | |||
605.2.g.j.251.1 | 8 | 33.5 | odd | 10 | |||
605.2.g.j.511.1 | 8 | 33.14 | odd | 10 | |||
605.2.g.n.81.1 | 8 | 33.29 | even | 10 | |||
605.2.g.n.366.1 | 8 | 33.32 | even | 2 | |||
880.2.bo.e.81.1 | 8 | 132.59 | even | 10 | |||
880.2.bo.e.641.1 | 8 | 12.11 | even | 2 | |||
3025.2.a.v.1.3 | 4 | 165.119 | odd | 10 | |||
3025.2.a.be.1.2 | 4 | 165.134 | even | 10 | |||
5445.2.a.bg.1.3 | 4 | 11.9 | even | 5 | |||
5445.2.a.bu.1.2 | 4 | 11.2 | odd | 10 | |||
9680.2.a.cs.1.1 | 4 | 132.119 | even | 10 | |||
9680.2.a.cv.1.1 | 4 | 132.35 | odd | 10 |