Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(497,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.497");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.j (of order \(4\), degree \(2\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 497.16 | ||
Character | \(\chi\) | \(=\) | 930.497 |
Dual form | 930.2.j.h.683.16 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | −0.0809240 | + | 1.73016i | −0.0467215 | + | 0.998908i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 0.662050 | + | 2.13581i | 0.296078 | + | 0.955164i | ||||
\(6\) | 1.16619 | + | 1.28063i | 0.476093 | + | 0.522815i | ||||
\(7\) | 2.89525 | + | 2.89525i | 1.09430 | + | 1.09430i | 0.995064 | + | 0.0992373i | \(0.0316403\pi\) |
0.0992373 | + | 0.995064i | \(0.468360\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | −2.98690 | − | 0.280023i | −0.995634 | − | 0.0933409i | ||||
\(10\) | 1.97839 | + | 1.04211i | 0.625621 | + | 0.329543i | ||||
\(11\) | 1.62335i | 0.489460i | 0.969591 | + | 0.244730i | \(0.0786993\pi\) | ||||
−0.969591 | + | 0.244730i | \(0.921301\pi\) | |||||||
\(12\) | 1.73016 | + | 0.0809240i | 0.499454 | + | 0.0233607i | ||||
\(13\) | −1.74736 | + | 1.74736i | −0.484631 | + | 0.484631i | −0.906607 | − | 0.421976i | \(-0.861337\pi\) |
0.421976 | + | 0.906607i | \(0.361337\pi\) | |||||||
\(14\) | 4.09450 | 1.09430 | ||||||||
\(15\) | −3.74887 | + | 0.972613i | −0.967954 | + | 0.251128i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 0.396012 | − | 0.396012i | 0.0960470 | − | 0.0960470i | −0.657451 | − | 0.753498i | \(-0.728365\pi\) |
0.753498 | + | 0.657451i | \(0.228365\pi\) | |||||||
\(18\) | −2.31007 | + | 1.91405i | −0.544488 | + | 0.451147i | ||||
\(19\) | − | 4.55776i | − | 1.04562i | −0.852449 | − | 0.522811i | \(-0.824883\pi\) | ||
0.852449 | − | 0.522811i | \(-0.175117\pi\) | |||||||
\(20\) | 2.13581 | − | 0.662050i | 0.477582 | − | 0.148039i | ||||
\(21\) | −5.24354 | + | 4.77495i | −1.14423 | + | 1.04198i | ||||
\(22\) | 1.14789 | + | 1.14789i | 0.244730 | + | 0.244730i | ||||
\(23\) | −0.0718525 | − | 0.0718525i | −0.0149823 | − | 0.0149823i | 0.699576 | − | 0.714558i | \(-0.253372\pi\) |
−0.714558 | + | 0.699576i | \(0.753372\pi\) | |||||||
\(24\) | 1.28063 | − | 1.16619i | 0.261407 | − | 0.238047i | ||||
\(25\) | −4.12338 | + | 2.82803i | −0.824676 | + | 0.565605i | ||||
\(26\) | 2.47114i | 0.484631i | ||||||||
\(27\) | 0.726196 | − | 5.14516i | 0.139756 | − | 0.990186i | ||||
\(28\) | 2.89525 | − | 2.89525i | 0.547151 | − | 0.547151i | ||||
\(29\) | −3.20334 | −0.594845 | −0.297422 | − | 0.954746i | \(-0.596127\pi\) | ||||
−0.297422 | + | 0.954746i | \(0.596127\pi\) | |||||||
\(30\) | −1.96311 | + | 3.33859i | −0.358413 | + | 0.609541i | ||||
\(31\) | −1.00000 | −0.179605 | ||||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −2.80866 | − | 0.131368i | −0.488925 | − | 0.0228683i | ||||
\(34\) | − | 0.560046i | − | 0.0960470i | ||||||
\(35\) | −4.26691 | + | 8.10050i | −0.721239 | + | 1.36923i | ||||
\(36\) | −0.280023 | + | 2.98690i | −0.0466705 | + | 0.497817i | ||||
\(37\) | 5.51900 | + | 5.51900i | 0.907319 | + | 0.907319i | 0.996055 | − | 0.0887366i | \(-0.0282829\pi\) |
−0.0887366 | + | 0.996055i | \(0.528283\pi\) | |||||||
\(38\) | −3.22282 | − | 3.22282i | −0.522811 | − | 0.522811i | ||||
\(39\) | −2.88181 | − | 3.16462i | −0.461459 | − | 0.506745i | ||||
\(40\) | 1.04211 | − | 1.97839i | 0.164772 | − | 0.312810i | ||||
\(41\) | − | 4.20851i | − | 0.657258i | −0.944459 | − | 0.328629i | \(-0.893413\pi\) | ||
0.944459 | − | 0.328629i | \(-0.106587\pi\) | |||||||
\(42\) | −0.331343 | + | 7.08414i | −0.0511274 | + | 1.09311i | ||||
\(43\) | 7.67725 | − | 7.67725i | 1.17077 | − | 1.17077i | 0.188744 | − | 0.982026i | \(-0.439558\pi\) |
0.982026 | − | 0.188744i | \(-0.0604417\pi\) | |||||||
\(44\) | 1.62335 | 0.244730 | ||||||||
\(45\) | −1.37940 | − | 6.56485i | −0.205629 | − | 0.978630i | ||||
\(46\) | −0.101615 | −0.0149823 | ||||||||
\(47\) | −6.63515 | + | 6.63515i | −0.967835 | + | 0.967835i | −0.999499 | − | 0.0316631i | \(-0.989920\pi\) |
0.0316631 | + | 0.999499i | \(0.489920\pi\) | |||||||
\(48\) | 0.0809240 | − | 1.73016i | 0.0116804 | − | 0.249727i | ||||
\(49\) | 9.76493i | 1.39499i | ||||||||
\(50\) | −0.915953 | + | 4.91539i | −0.129535 | + | 0.695141i | ||||
\(51\) | 0.653117 | + | 0.717211i | 0.0914547 | + | 0.100430i | ||||
\(52\) | 1.74736 | + | 1.74736i | 0.242316 | + | 0.242316i | ||||
\(53\) | 2.49463 | + | 2.49463i | 0.342664 | + | 0.342664i | 0.857368 | − | 0.514704i | \(-0.172098\pi\) |
−0.514704 | + | 0.857368i | \(0.672098\pi\) | |||||||
\(54\) | −3.12468 | − | 4.15167i | −0.425215 | − | 0.564971i | ||||
\(55\) | −3.46718 | + | 1.07474i | −0.467514 | + | 0.144918i | ||||
\(56\) | − | 4.09450i | − | 0.547151i | ||||||
\(57\) | 7.88565 | + | 0.368832i | 1.04448 | + | 0.0488530i | ||||
\(58\) | −2.26510 | + | 2.26510i | −0.297422 | + | 0.297422i | ||||
\(59\) | −6.90534 | −0.898998 | −0.449499 | − | 0.893281i | \(-0.648398\pi\) | ||||
−0.449499 | + | 0.893281i | \(0.648398\pi\) | |||||||
\(60\) | 0.972613 | + | 3.74887i | 0.125564 | + | 0.483977i | ||||
\(61\) | 8.74025 | 1.11907 | 0.559537 | − | 0.828805i | \(-0.310979\pi\) | ||||
0.559537 | + | 0.828805i | \(0.310979\pi\) | |||||||
\(62\) | −0.707107 | + | 0.707107i | −0.0898027 | + | 0.0898027i | ||||
\(63\) | −7.83709 | − | 9.45856i | −0.987381 | − | 1.19167i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −4.88888 | − | 2.57520i | −0.606391 | − | 0.319414i | ||||
\(66\) | −2.07892 | + | 1.89313i | −0.255897 | + | 0.233029i | ||||
\(67\) | 7.82013 | + | 7.82013i | 0.955381 | + | 0.955381i | 0.999046 | − | 0.0436654i | \(-0.0139036\pi\) |
−0.0436654 | + | 0.999046i | \(0.513904\pi\) | |||||||
\(68\) | −0.396012 | − | 0.396012i | −0.0480235 | − | 0.0480235i | ||||
\(69\) | 0.130131 | − | 0.118502i | 0.0156659 | − | 0.0142659i | ||||
\(70\) | 2.71076 | + | 8.74508i | 0.323998 | + | 1.04524i | ||||
\(71\) | 7.38175i | 0.876053i | 0.898962 | + | 0.438026i | \(0.144322\pi\) | ||||
−0.898962 | + | 0.438026i | \(0.855678\pi\) | |||||||
\(72\) | 1.91405 | + | 2.31007i | 0.225573 | + | 0.272244i | ||||
\(73\) | 7.37382 | − | 7.37382i | 0.863040 | − | 0.863040i | −0.128650 | − | 0.991690i | \(-0.541064\pi\) |
0.991690 | + | 0.128650i | \(0.0410643\pi\) | |||||||
\(74\) | 7.80505 | 0.907319 | ||||||||
\(75\) | −4.55926 | − | 7.36296i | −0.526458 | − | 0.850201i | ||||
\(76\) | −4.55776 | −0.522811 | ||||||||
\(77\) | −4.70002 | + | 4.70002i | −0.535617 | + | 0.535617i | ||||
\(78\) | −4.27547 | − | 0.199975i | −0.484102 | − | 0.0226427i | ||||
\(79\) | − | 0.229093i | − | 0.0257750i | −0.999917 | − | 0.0128875i | \(-0.995898\pi\) | ||
0.999917 | − | 0.0128875i | \(-0.00410233\pi\) | |||||||
\(80\) | −0.662050 | − | 2.13581i | −0.0740194 | − | 0.238791i | ||||
\(81\) | 8.84317 | + | 1.67280i | 0.982575 | + | 0.185867i | ||||
\(82\) | −2.97586 | − | 2.97586i | −0.328629 | − | 0.328629i | ||||
\(83\) | 0.833196 | + | 0.833196i | 0.0914551 | + | 0.0914551i | 0.751354 | − | 0.659899i | \(-0.229401\pi\) |
−0.659899 | + | 0.751354i | \(0.729401\pi\) | |||||||
\(84\) | 4.77495 | + | 5.24354i | 0.520989 | + | 0.572117i | ||||
\(85\) | 1.10799 | + | 0.583627i | 0.120178 | + | 0.0633033i | ||||
\(86\) | − | 10.8573i | − | 1.17077i | ||||||
\(87\) | 0.259227 | − | 5.54228i | 0.0277920 | − | 0.594195i | ||||
\(88\) | 1.14789 | − | 1.14789i | 0.122365 | − | 0.122365i | ||||
\(89\) | 10.4607 | 1.10883 | 0.554415 | − | 0.832241i | \(-0.312942\pi\) | ||||
0.554415 | + | 0.832241i | \(0.312942\pi\) | |||||||
\(90\) | −5.61743 | − | 3.66666i | −0.592130 | − | 0.386500i | ||||
\(91\) | −10.1181 | −1.06067 | ||||||||
\(92\) | −0.0718525 | + | 0.0718525i | −0.00749115 | + | 0.00749115i | ||||
\(93\) | 0.0809240 | − | 1.73016i | 0.00839143 | − | 0.179409i | ||||
\(94\) | 9.38351i | 0.967835i | ||||||||
\(95\) | 9.73452 | − | 3.01746i | 0.998740 | − | 0.309585i | ||||
\(96\) | −1.16619 | − | 1.28063i | −0.119023 | − | 0.130704i | ||||
\(97\) | 7.96436 | + | 7.96436i | 0.808658 | + | 0.808658i | 0.984431 | − | 0.175772i | \(-0.0562423\pi\) |
−0.175772 | + | 0.984431i | \(0.556242\pi\) | |||||||
\(98\) | 6.90485 | + | 6.90485i | 0.697495 | + | 0.697495i | ||||
\(99\) | 0.454576 | − | 4.84880i | 0.0456866 | − | 0.487323i | ||||
\(100\) | 2.82803 | + | 4.12338i | 0.282803 | + | 0.412338i | ||||
\(101\) | 13.5753i | 1.35079i | 0.737456 | + | 0.675395i | \(0.236027\pi\) | ||||
−0.737456 | + | 0.675395i | \(0.763973\pi\) | |||||||
\(102\) | 0.968968 | + | 0.0453211i | 0.0959421 | + | 0.00448746i | ||||
\(103\) | −1.42399 | + | 1.42399i | −0.140310 | + | 0.140310i | −0.773773 | − | 0.633463i | \(-0.781633\pi\) |
0.633463 | + | 0.773773i | \(0.281633\pi\) | |||||||
\(104\) | 2.47114 | 0.242316 | ||||||||
\(105\) | −13.6699 | − | 8.03795i | −1.33404 | − | 0.784424i | ||||
\(106\) | 3.52794 | 0.342664 | ||||||||
\(107\) | 3.00041 | − | 3.00041i | 0.290061 | − | 0.290061i | −0.547044 | − | 0.837104i | \(-0.684247\pi\) |
0.837104 | + | 0.547044i | \(0.184247\pi\) | |||||||
\(108\) | −5.14516 | − | 0.726196i | −0.495093 | − | 0.0698782i | ||||
\(109\) | − | 7.90833i | − | 0.757481i | −0.925503 | − | 0.378740i | \(-0.876357\pi\) | ||
0.925503 | − | 0.378740i | \(-0.123643\pi\) | |||||||
\(110\) | −1.69171 | + | 3.21162i | −0.161298 | + | 0.306216i | ||||
\(111\) | −9.99537 | + | 9.10214i | −0.948719 | + | 0.863936i | ||||
\(112\) | −2.89525 | − | 2.89525i | −0.273575 | − | 0.273575i | ||||
\(113\) | −13.5684 | − | 13.5684i | −1.27641 | − | 1.27641i | −0.942663 | − | 0.333747i | \(-0.891687\pi\) |
−0.333747 | − | 0.942663i | \(-0.608313\pi\) | |||||||
\(114\) | 5.83680 | − | 5.31519i | 0.546667 | − | 0.497814i | ||||
\(115\) | 0.105894 | − | 0.201033i | 0.00987462 | − | 0.0187465i | ||||
\(116\) | 3.20334i | 0.297422i | ||||||||
\(117\) | 5.70851 | − | 4.72990i | 0.527751 | − | 0.437280i | ||||
\(118\) | −4.88281 | + | 4.88281i | −0.449499 | + | 0.449499i | ||||
\(119\) | 2.29311 | 0.210209 | ||||||||
\(120\) | 3.33859 | + | 1.96311i | 0.304770 | + | 0.179207i | ||||
\(121\) | 8.36472 | 0.760429 | ||||||||
\(122\) | 6.18029 | − | 6.18029i | 0.559537 | − | 0.559537i | ||||
\(123\) | 7.28139 | + | 0.340569i | 0.656541 | + | 0.0307081i | ||||
\(124\) | 1.00000i | 0.0898027i | ||||||||
\(125\) | −8.77002 | − | 6.93447i | −0.784414 | − | 0.620238i | ||||
\(126\) | −12.2299 | − | 1.14655i | −1.08952 | − | 0.102143i | ||||
\(127\) | −1.53100 | − | 1.53100i | −0.135854 | − | 0.135854i | 0.635910 | − | 0.771764i | \(-0.280625\pi\) |
−0.771764 | + | 0.635910i | \(0.780625\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | 12.6616 | + | 13.9041i | 1.11479 | + | 1.22419i | ||||
\(130\) | −5.27790 | + | 1.63602i | −0.462902 | + | 0.143489i | ||||
\(131\) | − | 1.63084i | − | 0.142487i | −0.997459 | − | 0.0712437i | \(-0.977303\pi\) | ||
0.997459 | − | 0.0712437i | \(-0.0226968\pi\) | |||||||
\(132\) | −0.131368 | + | 2.80866i | −0.0114341 | + | 0.244463i | ||||
\(133\) | 13.1959 | − | 13.1959i | 1.14423 | − | 1.14423i | ||||
\(134\) | 11.0593 | 0.955381 | ||||||||
\(135\) | 11.4699 | − | 1.85533i | 0.987169 | − | 0.159682i | ||||
\(136\) | −0.560046 | −0.0480235 | ||||||||
\(137\) | 10.3702 | − | 10.3702i | 0.885989 | − | 0.885989i | −0.108146 | − | 0.994135i | \(-0.534491\pi\) |
0.994135 | + | 0.108146i | \(0.0344913\pi\) | |||||||
\(138\) | 0.00822308 | − | 0.175810i | 0.000699995 | − | 0.0149659i | ||||
\(139\) | − | 15.9812i | − | 1.35551i | −0.735289 | − | 0.677754i | \(-0.762954\pi\) | ||
0.735289 | − | 0.677754i | \(-0.237046\pi\) | |||||||
\(140\) | 8.10050 | + | 4.26691i | 0.684617 | + | 0.360619i | ||||
\(141\) | −10.9429 | − | 12.0168i | −0.921560 | − | 1.01200i | ||||
\(142\) | 5.21969 | + | 5.21969i | 0.438026 | + | 0.438026i | ||||
\(143\) | −2.83659 | − | 2.83659i | −0.237208 | − | 0.237208i | ||||
\(144\) | 2.98690 | + | 0.280023i | 0.248909 | + | 0.0233352i | ||||
\(145\) | −2.12077 | − | 6.84172i | −0.176120 | − | 0.568174i | ||||
\(146\) | − | 10.4282i | − | 0.863040i | ||||||
\(147\) | −16.8949 | − | 0.790217i | −1.39347 | − | 0.0651760i | ||||
\(148\) | 5.51900 | − | 5.51900i | 0.453659 | − | 0.453659i | ||||
\(149\) | −17.6969 | −1.44979 | −0.724894 | − | 0.688860i | \(-0.758111\pi\) | ||||
−0.724894 | + | 0.688860i | \(0.758111\pi\) | |||||||
\(150\) | −8.43028 | − | 1.98252i | −0.688330 | − | 0.161872i | ||||
\(151\) | −7.84423 | −0.638354 | −0.319177 | − | 0.947695i | \(-0.603406\pi\) | ||||
−0.319177 | + | 0.947695i | \(0.603406\pi\) | |||||||
\(152\) | −3.22282 | + | 3.22282i | −0.261406 | + | 0.261406i | ||||
\(153\) | −1.29374 | + | 1.07196i | −0.104593 | + | 0.0866626i | ||||
\(154\) | 6.64683i | 0.535617i | ||||||||
\(155\) | −0.662050 | − | 2.13581i | −0.0531771 | − | 0.171552i | ||||
\(156\) | −3.16462 | + | 2.88181i | −0.253372 | + | 0.230730i | ||||
\(157\) | −15.3315 | − | 15.3315i | −1.22359 | − | 1.22359i | −0.966347 | − | 0.257241i | \(-0.917186\pi\) |
−0.257241 | − | 0.966347i | \(-0.582814\pi\) | |||||||
\(158\) | −0.161993 | − | 0.161993i | −0.0128875 | − | 0.0128875i | ||||
\(159\) | −4.51798 | + | 4.11423i | −0.358299 | + | 0.326280i | ||||
\(160\) | −1.97839 | − | 1.04211i | −0.156405 | − | 0.0823858i | ||||
\(161\) | − | 0.416062i | − | 0.0327903i | ||||||
\(162\) | 7.43592 | − | 5.07022i | 0.584221 | − | 0.398354i | ||||
\(163\) | 13.3507 | − | 13.3507i | 1.04571 | − | 1.04571i | 0.0468022 | − | 0.998904i | \(-0.485097\pi\) |
0.998904 | − | 0.0468022i | \(-0.0149030\pi\) | |||||||
\(164\) | −4.20851 | −0.328629 | ||||||||
\(165\) | −1.57890 | − | 6.08575i | −0.122917 | − | 0.473775i | ||||
\(166\) | 1.17832 | 0.0914551 | ||||||||
\(167\) | −3.74931 | + | 3.74931i | −0.290130 | + | 0.290130i | −0.837132 | − | 0.547002i | \(-0.815769\pi\) |
0.547002 | + | 0.837132i | \(0.315769\pi\) | |||||||
\(168\) | 7.08414 | + | 0.331343i | 0.546553 | + | 0.0255637i | ||||
\(169\) | 6.89344i | 0.530265i | ||||||||
\(170\) | 1.19615 | − | 0.370778i | 0.0917406 | − | 0.0284374i | ||||
\(171\) | −1.27628 | + | 13.6136i | −0.0975993 | + | 1.04106i | ||||
\(172\) | −7.67725 | − | 7.67725i | −0.585385 | − | 0.585385i | ||||
\(173\) | −0.496896 | − | 0.496896i | −0.0377783 | − | 0.0377783i | 0.687965 | − | 0.725744i | \(-0.258504\pi\) |
−0.725744 | + | 0.687965i | \(0.758504\pi\) | |||||||
\(174\) | −3.73569 | − | 4.10229i | −0.283202 | − | 0.310994i | ||||
\(175\) | −20.1261 | − | 3.75037i | −1.52139 | − | 0.283501i | ||||
\(176\) | − | 1.62335i | − | 0.122365i | ||||||
\(177\) | 0.558807 | − | 11.9473i | 0.0420025 | − | 0.898017i | ||||
\(178\) | 7.39681 | − | 7.39681i | 0.554415 | − | 0.554415i | ||||
\(179\) | 5.69409 | 0.425596 | 0.212798 | − | 0.977096i | \(-0.431742\pi\) | ||||
0.212798 | + | 0.977096i | \(0.431742\pi\) | |||||||
\(180\) | −6.56485 | + | 1.37940i | −0.489315 | + | 0.102815i | ||||
\(181\) | 16.1019 | 1.19684 | 0.598422 | − | 0.801181i | \(-0.295795\pi\) | ||||
0.598422 | + | 0.801181i | \(0.295795\pi\) | |||||||
\(182\) | −7.15458 | + | 7.15458i | −0.530333 | + | 0.530333i | ||||
\(183\) | −0.707296 | + | 15.1220i | −0.0522848 | + | 1.11785i | ||||
\(184\) | 0.101615i | 0.00749115i | ||||||||
\(185\) | −8.13369 | + | 15.4414i | −0.598001 | + | 1.13527i | ||||
\(186\) | −1.16619 | − | 1.28063i | −0.0855089 | − | 0.0939003i | ||||
\(187\) | 0.642868 | + | 0.642868i | 0.0470112 | + | 0.0470112i | ||||
\(188\) | 6.63515 | + | 6.63515i | 0.483918 | + | 0.483918i | ||||
\(189\) | 16.9990 | − | 12.7940i | 1.23650 | − | 0.930626i | ||||
\(190\) | 4.74967 | − | 9.01701i | 0.344578 | − | 0.654163i | ||||
\(191\) | 13.8091i | 0.999191i | 0.866259 | + | 0.499595i | \(0.166518\pi\) | ||||
−0.866259 | + | 0.499595i | \(0.833482\pi\) | |||||||
\(192\) | −1.73016 | − | 0.0809240i | −0.124863 | − | 0.00584019i | ||||
\(193\) | 9.32773 | − | 9.32773i | 0.671425 | − | 0.671425i | −0.286620 | − | 0.958044i | \(-0.592532\pi\) |
0.958044 | + | 0.286620i | \(0.0925317\pi\) | |||||||
\(194\) | 11.2633 | 0.808658 | ||||||||
\(195\) | 4.85113 | − | 8.25015i | 0.347396 | − | 0.590805i | ||||
\(196\) | 9.76493 | 0.697495 | ||||||||
\(197\) | 17.6217 | − | 17.6217i | 1.25549 | − | 1.25549i | 0.302269 | − | 0.953223i | \(-0.402256\pi\) |
0.953223 | − | 0.302269i | \(-0.0977443\pi\) | |||||||
\(198\) | −3.10719 | − | 3.75006i | −0.220818 | − | 0.266505i | ||||
\(199\) | − | 4.43694i | − | 0.314527i | −0.987557 | − | 0.157263i | \(-0.949733\pi\) | ||
0.987557 | − | 0.157263i | \(-0.0502671\pi\) | |||||||
\(200\) | 4.91539 | + | 0.915953i | 0.347570 | + | 0.0647677i | ||||
\(201\) | −14.1629 | + | 12.8972i | −0.998974 | + | 0.909701i | ||||
\(202\) | 9.59917 | + | 9.59917i | 0.675395 | + | 0.675395i | ||||
\(203\) | −9.27446 | − | 9.27446i | −0.650939 | − | 0.650939i | ||||
\(204\) | 0.717211 | − | 0.653117i | 0.0502148 | − | 0.0457273i | ||||
\(205\) | 8.98858 | − | 2.78624i | 0.627789 | − | 0.194600i | ||||
\(206\) | 2.01383i | 0.140310i | ||||||||
\(207\) | 0.194496 | + | 0.234737i | 0.0135184 | + | 0.0163153i | ||||
\(208\) | 1.74736 | − | 1.74736i | 0.121158 | − | 0.121158i | ||||
\(209\) | 7.39886 | 0.511790 | ||||||||
\(210\) | −15.3497 | + | 3.98236i | −1.05923 | + | 0.274809i | ||||
\(211\) | 14.6718 | 1.01005 | 0.505023 | − | 0.863106i | \(-0.331484\pi\) | ||||
0.505023 | + | 0.863106i | \(0.331484\pi\) | |||||||
\(212\) | 2.49463 | − | 2.49463i | 0.171332 | − | 0.171332i | ||||
\(213\) | −12.7716 | − | 0.597361i | −0.875096 | − | 0.0409305i | ||||
\(214\) | − | 4.24322i | − | 0.290061i | ||||||
\(215\) | 21.4799 | + | 11.3144i | 1.46492 | + | 0.771639i | ||||
\(216\) | −4.15167 | + | 3.12468i | −0.282486 | + | 0.212607i | ||||
\(217\) | −2.89525 | − | 2.89525i | −0.196542 | − | 0.196542i | ||||
\(218\) | −5.59204 | − | 5.59204i | −0.378740 | − | 0.378740i | ||||
\(219\) | 12.1612 | + | 13.3546i | 0.821775 | + | 0.902420i | ||||
\(220\) | 1.07474 | + | 3.46718i | 0.0724591 | + | 0.233757i | ||||
\(221\) | 1.38395i | 0.0930948i | ||||||||
\(222\) | −0.631616 | + | 13.5040i | −0.0423913 | + | 0.906328i | ||||
\(223\) | −20.1771 | + | 20.1771i | −1.35116 | + | 1.35116i | −0.466793 | + | 0.884367i | \(0.654591\pi\) |
−0.884367 | + | 0.466793i | \(0.845409\pi\) | |||||||
\(224\) | −4.09450 | −0.273575 | ||||||||
\(225\) | 13.1080 | − | 7.29240i | 0.873870 | − | 0.486160i | ||||
\(226\) | −19.1886 | −1.27641 | ||||||||
\(227\) | −14.0570 | + | 14.0570i | −0.932999 | + | 0.932999i | −0.997892 | − | 0.0648933i | \(-0.979329\pi\) |
0.0648933 | + | 0.997892i | \(0.479329\pi\) | |||||||
\(228\) | 0.368832 | − | 7.88565i | 0.0244265 | − | 0.522240i | ||||
\(229\) | 9.05951i | 0.598669i | 0.954148 | + | 0.299335i | \(0.0967647\pi\) | ||||
−0.954148 | + | 0.299335i | \(0.903235\pi\) | |||||||
\(230\) | −0.0672741 | − | 0.217030i | −0.00443592 | − | 0.0143105i | ||||
\(231\) | −7.75143 | − | 8.51212i | −0.510007 | − | 0.560056i | ||||
\(232\) | 2.26510 | + | 2.26510i | 0.148711 | + | 0.148711i | ||||
\(233\) | −1.24516 | − | 1.24516i | −0.0815733 | − | 0.0815733i | 0.665143 | − | 0.746716i | \(-0.268371\pi\) |
−0.746716 | + | 0.665143i | \(0.768371\pi\) | |||||||
\(234\) | 0.691977 | − | 7.38107i | 0.0452359 | − | 0.482516i | ||||
\(235\) | −18.5642 | − | 9.77862i | −1.21100 | − | 0.637887i | ||||
\(236\) | 6.90534i | 0.449499i | ||||||||
\(237\) | 0.396368 | + | 0.0185391i | 0.0257468 | + | 0.00120425i | ||||
\(238\) | 1.62147 | − | 1.62147i | 0.105104 | − | 0.105104i | ||||
\(239\) | 15.7892 | 1.02132 | 0.510659 | − | 0.859784i | \(-0.329402\pi\) | ||||
0.510659 | + | 0.859784i | \(0.329402\pi\) | |||||||
\(240\) | 3.74887 | − | 0.972613i | 0.241988 | − | 0.0627819i | ||||
\(241\) | 9.56070 | 0.615859 | 0.307929 | − | 0.951409i | \(-0.400364\pi\) | ||||
0.307929 | + | 0.951409i | \(0.400364\pi\) | |||||||
\(242\) | 5.91475 | − | 5.91475i | 0.380214 | − | 0.380214i | ||||
\(243\) | −3.60984 | + | 15.1647i | −0.231571 | + | 0.972818i | ||||
\(244\) | − | 8.74025i | − | 0.559537i | ||||||
\(245\) | −20.8560 | + | 6.46487i | −1.33244 | + | 0.413025i | ||||
\(246\) | 5.38954 | − | 4.90790i | 0.343624 | − | 0.312916i | ||||
\(247\) | 7.96406 | + | 7.96406i | 0.506741 | + | 0.506741i | ||||
\(248\) | 0.707107 | + | 0.707107i | 0.0449013 | + | 0.0449013i | ||||
\(249\) | −1.50899 | + | 1.37414i | −0.0956281 | + | 0.0870823i | ||||
\(250\) | −11.1047 | + | 1.29793i | −0.702326 | + | 0.0820882i | ||||
\(251\) | − | 8.18335i | − | 0.516529i | −0.966074 | − | 0.258264i | \(-0.916849\pi\) | ||
0.966074 | − | 0.258264i | \(-0.0831505\pi\) | |||||||
\(252\) | −9.45856 | + | 7.83709i | −0.595833 | + | 0.493690i | ||||
\(253\) | 0.116642 | − | 0.116642i | 0.00733323 | − | 0.00733323i | ||||
\(254\) | −2.16516 | −0.135854 | ||||||||
\(255\) | −1.09943 | + | 1.86976i | −0.0688490 | + | 0.117089i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 4.02526 | − | 4.02526i | 0.251089 | − | 0.251089i | −0.570328 | − | 0.821417i | \(-0.693184\pi\) |
0.821417 | + | 0.570328i | \(0.193184\pi\) | |||||||
\(258\) | 18.7848 | + | 0.878614i | 1.16949 | + | 0.0547001i | ||||
\(259\) | 31.9578i | 1.98576i | ||||||||
\(260\) | −2.57520 | + | 4.88888i | −0.159707 | + | 0.303195i | ||||
\(261\) | 9.56806 | + | 0.897007i | 0.592248 | + | 0.0555234i | ||||
\(262\) | −1.15318 | − | 1.15318i | −0.0712437 | − | 0.0712437i | ||||
\(263\) | −15.2841 | − | 15.2841i | −0.942457 | − | 0.942457i | 0.0559749 | − | 0.998432i | \(-0.482173\pi\) |
−0.998432 | + | 0.0559749i | \(0.982173\pi\) | |||||||
\(264\) | 1.89313 | + | 2.07892i | 0.116514 | + | 0.127948i | ||||
\(265\) | −3.67649 | + | 6.97963i | −0.225845 | + | 0.428755i | ||||
\(266\) | − | 18.6618i | − | 1.14423i | ||||||
\(267\) | −0.846519 | + | 18.0986i | −0.0518061 | + | 1.10762i | ||||
\(268\) | 7.82013 | − | 7.82013i | 0.477690 | − | 0.477690i | ||||
\(269\) | 15.0385 | 0.916912 | 0.458456 | − | 0.888717i | \(-0.348403\pi\) | ||||
0.458456 | + | 0.888717i | \(0.348403\pi\) | |||||||
\(270\) | 6.79850 | − | 9.42234i | 0.413743 | − | 0.573425i | ||||
\(271\) | −12.6980 | −0.771349 | −0.385674 | − | 0.922635i | \(-0.626031\pi\) | ||||
−0.385674 | + | 0.922635i | \(0.626031\pi\) | |||||||
\(272\) | −0.396012 | + | 0.396012i | −0.0240118 | + | 0.0240118i | ||||
\(273\) | 0.818797 | − | 17.5059i | 0.0495558 | − | 1.05951i | ||||
\(274\) | − | 14.6657i | − | 0.885989i | ||||||
\(275\) | −4.59089 | − | 6.69371i | −0.276841 | − | 0.403646i | ||||
\(276\) | −0.118502 | − | 0.130131i | −0.00713297 | − | 0.00783296i | ||||
\(277\) | −11.3481 | − | 11.3481i | −0.681838 | − | 0.681838i | 0.278576 | − | 0.960414i | \(-0.410138\pi\) |
−0.960414 | + | 0.278576i | \(0.910138\pi\) | |||||||
\(278\) | −11.3004 | − | 11.3004i | −0.677754 | − | 0.677754i | ||||
\(279\) | 2.98690 | + | 0.280023i | 0.178821 | + | 0.0167645i | ||||
\(280\) | 8.74508 | − | 2.71076i | 0.522618 | − | 0.161999i | ||||
\(281\) | − | 28.4115i | − | 1.69489i | −0.530884 | − | 0.847444i | \(-0.678140\pi\) | ||
0.530884 | − | 0.847444i | \(-0.321860\pi\) | |||||||
\(282\) | −16.2350 | − | 0.759351i | −0.966779 | − | 0.0452187i | ||||
\(283\) | −7.62439 | + | 7.62439i | −0.453223 | + | 0.453223i | −0.896423 | − | 0.443200i | \(-0.853843\pi\) |
0.443200 | + | 0.896423i | \(0.353843\pi\) | |||||||
\(284\) | 7.38175 | 0.438026 | ||||||||
\(285\) | 4.43294 | + | 17.0865i | 0.262585 | + | 1.01211i | ||||
\(286\) | −4.01154 | −0.237208 | ||||||||
\(287\) | 12.1847 | − | 12.1847i | 0.719239 | − | 0.719239i | ||||
\(288\) | 2.31007 | − | 1.91405i | 0.136122 | − | 0.112787i | ||||
\(289\) | 16.6863i | 0.981550i | ||||||||
\(290\) | −6.33744 | − | 3.33822i | −0.372147 | − | 0.196027i | ||||
\(291\) | −14.4241 | + | 13.1351i | −0.845557 | + | 0.769994i | ||||
\(292\) | −7.37382 | − | 7.37382i | −0.431520 | − | 0.431520i | ||||
\(293\) | 5.08033 | + | 5.08033i | 0.296796 | + | 0.296796i | 0.839758 | − | 0.542962i | \(-0.182697\pi\) |
−0.542962 | + | 0.839758i | \(0.682697\pi\) | |||||||
\(294\) | −12.5053 | + | 11.3877i | −0.729321 | + | 0.664145i | ||||
\(295\) | −4.57168 | − | 14.7485i | −0.266173 | − | 0.858691i | ||||
\(296\) | − | 7.80505i | − | 0.453659i | ||||||
\(297\) | 8.35242 | + | 1.17887i | 0.484656 | + | 0.0684052i | ||||
\(298\) | −12.5136 | + | 12.5136i | −0.724894 | + | 0.724894i | ||||
\(299\) | 0.251105 | 0.0145218 | ||||||||
\(300\) | −7.36296 | + | 4.55926i | −0.425101 | + | 0.263229i | ||||
\(301\) | 44.4551 | 2.56235 | ||||||||
\(302\) | −5.54671 | + | 5.54671i | −0.319177 | + | 0.319177i | ||||
\(303\) | −23.4874 | − | 1.09857i | −1.34931 | − | 0.0631109i | ||||
\(304\) | 4.55776i | 0.261406i | ||||||||
\(305\) | 5.78648 | + | 18.6675i | 0.331333 | + | 1.06890i | ||||
\(306\) | −0.156825 | + | 1.67280i | −0.00896512 | + | 0.0956277i | ||||
\(307\) | −19.6876 | − | 19.6876i | −1.12363 | − | 1.12363i | −0.991191 | − | 0.132439i | \(-0.957719\pi\) |
−0.132439 | − | 0.991191i | \(-0.542281\pi\) | |||||||
\(308\) | 4.70002 | + | 4.70002i | 0.267808 | + | 0.267808i | ||||
\(309\) | −2.34850 | − | 2.57897i | −0.133601 | − | 0.146713i | ||||
\(310\) | −1.97839 | − | 1.04211i | −0.112365 | − | 0.0591877i | ||||
\(311\) | − | 6.92495i | − | 0.392678i | −0.980536 | − | 0.196339i | \(-0.937095\pi\) | ||
0.980536 | − | 0.196339i | \(-0.0629053\pi\) | |||||||
\(312\) | −0.199975 | + | 4.27547i | −0.0113213 | + | 0.242051i | ||||
\(313\) | −10.5189 | + | 10.5189i | −0.594565 | + | 0.594565i | −0.938861 | − | 0.344296i | \(-0.888118\pi\) |
0.344296 | + | 0.938861i | \(0.388118\pi\) | |||||||
\(314\) | −21.6820 | −1.22359 | ||||||||
\(315\) | 15.0132 | − | 23.0006i | 0.845896 | − | 1.29594i | ||||
\(316\) | −0.229093 | −0.0128875 | ||||||||
\(317\) | 17.5631 | − | 17.5631i | 0.986441 | − | 0.986441i | −0.0134684 | − | 0.999909i | \(-0.504287\pi\) |
0.999909 | + | 0.0134684i | \(0.00428725\pi\) | |||||||
\(318\) | −0.285495 | + | 6.10390i | −0.0160098 | + | 0.342290i | ||||
\(319\) | − | 5.20015i | − | 0.291153i | ||||||
\(320\) | −2.13581 | + | 0.662050i | −0.119395 | + | 0.0370097i | ||||
\(321\) | 4.94838 | + | 5.43399i | 0.276192 | + | 0.303296i | ||||
\(322\) | −0.294200 | − | 0.294200i | −0.0163951 | − | 0.0163951i | ||||
\(323\) | −1.80493 | − | 1.80493i | −0.100429 | − | 0.100429i | ||||
\(324\) | 1.67280 | − | 8.84317i | 0.0929334 | − | 0.491287i | ||||
\(325\) | 2.26345 | − | 12.1466i | 0.125554 | − | 0.673774i | ||||
\(326\) | − | 18.8807i | − | 1.04571i | ||||||
\(327\) | 13.6827 | + | 0.639974i | 0.756654 | + | 0.0353906i | ||||
\(328\) | −2.97586 | + | 2.97586i | −0.164315 | + | 0.164315i | ||||
\(329\) | −38.4208 | −2.11821 | ||||||||
\(330\) | −5.41972 | − | 3.18682i | −0.298346 | − | 0.175429i | ||||
\(331\) | −19.1502 | −1.05259 | −0.526295 | − | 0.850302i | \(-0.676419\pi\) | ||||
−0.526295 | + | 0.850302i | \(0.676419\pi\) | |||||||
\(332\) | 0.833196 | − | 0.833196i | 0.0457276 | − | 0.0457276i | ||||
\(333\) | −14.9393 | − | 18.0302i | −0.818667 | − | 0.988047i | ||||
\(334\) | 5.30232i | 0.290130i | ||||||||
\(335\) | −11.5250 | + | 21.8796i | −0.629678 | + | 1.19541i | ||||
\(336\) | 5.24354 | − | 4.77495i | 0.286058 | − | 0.260495i | ||||
\(337\) | 0.640755 | + | 0.640755i | 0.0349041 | + | 0.0349041i | 0.724343 | − | 0.689439i | \(-0.242143\pi\) |
−0.689439 | + | 0.724343i | \(0.742143\pi\) | |||||||
\(338\) | 4.87440 | + | 4.87440i | 0.265132 | + | 0.265132i | ||||
\(339\) | 24.5735 | − | 22.3775i | 1.33465 | − | 1.21538i | ||||
\(340\) | 0.583627 | − | 1.10799i | 0.0316516 | − | 0.0600890i | ||||
\(341\) | − | 1.62335i | − | 0.0879096i | ||||||
\(342\) | 8.72380 | + | 10.5287i | 0.471729 | + | 0.569328i | ||||
\(343\) | −8.00515 | + | 8.00515i | −0.432238 | + | 0.432238i | ||||
\(344\) | −10.8573 | −0.585385 | ||||||||
\(345\) | 0.339251 | + | 0.199481i | 0.0182646 | + | 0.0107397i | ||||
\(346\) | −0.702717 | −0.0377783 | ||||||||
\(347\) | 11.8865 | − | 11.8865i | 0.638103 | − | 0.638103i | −0.311984 | − | 0.950087i | \(-0.600994\pi\) |
0.950087 | + | 0.311984i | \(0.100994\pi\) | |||||||
\(348\) | −5.54228 | − | 0.259227i | −0.297098 | − | 0.0138960i | ||||
\(349\) | 9.01900i | 0.482776i | 0.970429 | + | 0.241388i | \(0.0776026\pi\) | ||||
−0.970429 | + | 0.241388i | \(0.922397\pi\) | |||||||
\(350\) | −16.8832 | + | 11.5794i | −0.902444 | + | 0.618943i | ||||
\(351\) | 7.72153 | + | 10.2594i | 0.412145 | + | 0.547605i | ||||
\(352\) | −1.14789 | − | 1.14789i | −0.0611825 | − | 0.0611825i | ||||
\(353\) | 20.0852 | + | 20.0852i | 1.06903 | + | 1.06903i | 0.997434 | + | 0.0715963i | \(0.0228093\pi\) |
0.0715963 | + | 0.997434i | \(0.477191\pi\) | |||||||
\(354\) | −8.05291 | − | 8.84318i | −0.428007 | − | 0.470010i | ||||
\(355\) | −15.7660 | + | 4.88709i | −0.836774 | + | 0.259380i | ||||
\(356\) | − | 10.4607i | − | 0.554415i | ||||||
\(357\) | −0.185567 | + | 3.96744i | −0.00982126 | + | 0.209979i | ||||
\(358\) | 4.02633 | − | 4.02633i | 0.212798 | − | 0.212798i | ||||
\(359\) | −26.3374 | −1.39003 | −0.695017 | − | 0.718993i | \(-0.744603\pi\) | ||||
−0.695017 | + | 0.718993i | \(0.744603\pi\) | |||||||
\(360\) | −3.66666 | + | 5.61743i | −0.193250 | + | 0.296065i | ||||
\(361\) | −1.77319 | −0.0933256 | ||||||||
\(362\) | 11.3858 | − | 11.3858i | 0.598422 | − | 0.598422i | ||||
\(363\) | −0.676906 | + | 14.4723i | −0.0355284 | + | 0.759599i | ||||
\(364\) | 10.1181i | 0.530333i | ||||||||
\(365\) | 20.6309 | + | 10.8673i | 1.07987 | + | 0.568818i | ||||
\(366\) | 10.1928 | + | 11.1930i | 0.532784 | + | 0.585069i | ||||
\(367\) | 6.04081 | + | 6.04081i | 0.315328 | + | 0.315328i | 0.846969 | − | 0.531642i | \(-0.178425\pi\) |
−0.531642 | + | 0.846969i | \(0.678425\pi\) | |||||||
\(368\) | 0.0718525 | + | 0.0718525i | 0.00374557 | + | 0.00374557i | ||||
\(369\) | −1.17848 | + | 12.5704i | −0.0613491 | + | 0.654389i | ||||
\(370\) | 5.16733 | + | 16.6701i | 0.268637 | + | 0.866638i | ||||
\(371\) | 14.4452i | 0.749955i | ||||||||
\(372\) | −1.73016 | − | 0.0809240i | −0.0897046 | − | 0.00419571i | ||||
\(373\) | −10.5024 | + | 10.5024i | −0.543796 | + | 0.543796i | −0.924639 | − | 0.380844i | \(-0.875634\pi\) |
0.380844 | + | 0.924639i | \(0.375634\pi\) | |||||||
\(374\) | 0.909153 | 0.0470112 | ||||||||
\(375\) | 12.7074 | − | 14.6124i | 0.656209 | − | 0.754579i | ||||
\(376\) | 9.38351 | 0.483918 | ||||||||
\(377\) | 5.59739 | − | 5.59739i | 0.288280 | − | 0.288280i | ||||
\(378\) | 2.97341 | − | 21.0668i | 0.152936 | − | 1.08356i | ||||
\(379\) | − | 1.55688i | − | 0.0799714i | −0.999200 | − | 0.0399857i | \(-0.987269\pi\) | ||
0.999200 | − | 0.0399857i | \(-0.0127312\pi\) | |||||||
\(380\) | −3.01746 | − | 9.73452i | −0.154793 | − | 0.499370i | ||||
\(381\) | 2.77276 | − | 2.52497i | 0.142053 | − | 0.129358i | ||||
\(382\) | 9.76450 | + | 9.76450i | 0.499595 | + | 0.499595i | ||||
\(383\) | 3.53739 | + | 3.53739i | 0.180752 | + | 0.180752i | 0.791684 | − | 0.610931i | \(-0.209205\pi\) |
−0.610931 | + | 0.791684i | \(0.709205\pi\) | |||||||
\(384\) | −1.28063 | + | 1.16619i | −0.0653518 | + | 0.0595117i | ||||
\(385\) | −13.1500 | − | 6.92670i | −0.670186 | − | 0.353017i | ||||
\(386\) | − | 13.1914i | − | 0.671425i | ||||||
\(387\) | −25.0810 | + | 20.7814i | −1.27494 | + | 1.05638i | ||||
\(388\) | 7.96436 | − | 7.96436i | 0.404329 | − | 0.404329i | ||||
\(389\) | −32.6543 | −1.65564 | −0.827819 | − | 0.560995i | \(-0.810419\pi\) | ||||
−0.827819 | + | 0.560995i | \(0.810419\pi\) | |||||||
\(390\) | −2.40347 | − | 9.26400i | −0.121704 | − | 0.469101i | ||||
\(391\) | −0.0569089 | −0.00287801 | ||||||||
\(392\) | 6.90485 | − | 6.90485i | 0.348747 | − | 0.348747i | ||||
\(393\) | 2.82162 | + | 0.131974i | 0.142332 | + | 0.00665722i | ||||
\(394\) | − | 24.9208i | − | 1.25549i | ||||||
\(395\) | 0.489300 | − | 0.151671i | 0.0246193 | − | 0.00763140i | ||||
\(396\) | −4.84880 | − | 0.454576i | −0.243662 | − | 0.0228433i | ||||
\(397\) | −8.53863 | − | 8.53863i | −0.428542 | − | 0.428542i | 0.459590 | − | 0.888131i | \(-0.347996\pi\) |
−0.888131 | + | 0.459590i | \(0.847996\pi\) | |||||||
\(398\) | −3.13739 | − | 3.13739i | −0.157263 | − | 0.157263i | ||||
\(399\) | 21.7631 | + | 23.8988i | 1.08952 | + | 1.19644i | ||||
\(400\) | 4.12338 | − | 2.82803i | 0.206169 | − | 0.141401i | ||||
\(401\) | 31.6949i | 1.58277i | 0.611321 | + | 0.791383i | \(0.290638\pi\) | ||||
−0.611321 | + | 0.791383i | \(0.709362\pi\) | |||||||
\(402\) | −0.894965 | + | 19.1344i | −0.0446368 | + | 0.954337i | ||||
\(403\) | 1.74736 | − | 1.74736i | 0.0870424 | − | 0.0870424i | ||||
\(404\) | 13.5753 | 0.675395 | ||||||||
\(405\) | 2.28183 | + | 19.9948i | 0.113385 | + | 0.993551i | ||||
\(406\) | −13.1161 | −0.650939 | ||||||||
\(407\) | −8.95930 | + | 8.95930i | −0.444096 | + | 0.444096i | ||||
\(408\) | 0.0453211 | − | 0.968968i | 0.00224373 | − | 0.0479711i | ||||
\(409\) | 18.9112i | 0.935098i | 0.883967 | + | 0.467549i | \(0.154863\pi\) | ||||
−0.883967 | + | 0.467549i | \(0.845137\pi\) | |||||||
\(410\) | 4.38571 | − | 8.32605i | 0.216595 | − | 0.411195i | ||||
\(411\) | 17.1030 | + | 18.7814i | 0.843627 | + | 0.926416i | ||||
\(412\) | 1.42399 | + | 1.42399i | 0.0701551 | + | 0.0701551i | ||||
\(413\) | −19.9927 | − | 19.9927i | −0.983775 | − | 0.983775i | ||||
\(414\) | 0.303514 | + | 0.0284545i | 0.0149169 | + | 0.00139846i | ||||
\(415\) | −1.22793 | + | 2.33117i | −0.0602768 | + | 0.114432i | ||||
\(416\) | − | 2.47114i | − | 0.121158i | ||||||
\(417\) | 27.6500 | + | 1.29326i | 1.35403 | + | 0.0633313i | ||||
\(418\) | 5.23179 | − | 5.23179i | 0.255895 | − | 0.255895i | ||||
\(419\) | −7.06832 | −0.345310 | −0.172655 | − | 0.984982i | \(-0.555235\pi\) | ||||
−0.172655 | + | 0.984982i | \(0.555235\pi\) | |||||||
\(420\) | −8.03795 | + | 13.6699i | −0.392212 | + | 0.667021i | ||||
\(421\) | 29.7297 | 1.44894 | 0.724468 | − | 0.689308i | \(-0.242085\pi\) | ||||
0.724468 | + | 0.689308i | \(0.242085\pi\) | |||||||
\(422\) | 10.3745 | − | 10.3745i | 0.505023 | − | 0.505023i | ||||
\(423\) | 21.6765 | − | 17.9605i | 1.05395 | − | 0.873271i | ||||
\(424\) | − | 3.52794i | − | 0.171332i | ||||||
\(425\) | −0.512975 | + | 2.75284i | −0.0248830 | + | 0.133532i | ||||
\(426\) | −9.45329 | + | 8.60849i | −0.458013 | + | 0.417083i | ||||
\(427\) | 25.3052 | + | 25.3052i | 1.22460 | + | 1.22460i | ||||
\(428\) | −3.00041 | − | 3.00041i | −0.145030 | − | 0.145030i | ||||
\(429\) | 5.13730 | − | 4.67821i | 0.248031 | − | 0.225866i | ||||
\(430\) | 23.1891 | − | 7.18806i | 1.11828 | − | 0.346639i | ||||
\(431\) | 27.1832i | 1.30937i | 0.755903 | + | 0.654684i | \(0.227198\pi\) | ||||
−0.755903 | + | 0.654684i | \(0.772802\pi\) | |||||||
\(432\) | −0.726196 | + | 5.14516i | −0.0349391 | + | 0.247546i | ||||
\(433\) | 12.0553 | − | 12.0553i | 0.579342 | − | 0.579342i | −0.355380 | − | 0.934722i | \(-0.615648\pi\) |
0.934722 | + | 0.355380i | \(0.115648\pi\) | |||||||
\(434\) | −4.09450 | −0.196542 | ||||||||
\(435\) | 12.0089 | − | 3.11561i | 0.575782 | − | 0.149382i | ||||
\(436\) | −7.90833 | −0.378740 | ||||||||
\(437\) | −0.327487 | + | 0.327487i | −0.0156658 | + | 0.0156658i | ||||
\(438\) | 18.0424 | + | 0.843888i | 0.862098 | + | 0.0403225i | ||||
\(439\) | 4.38472i | 0.209271i | 0.994511 | + | 0.104636i | \(0.0333676\pi\) | ||||
−0.994511 | + | 0.104636i | \(0.966632\pi\) | |||||||
\(440\) | 3.21162 | + | 1.69171i | 0.153108 | + | 0.0806491i | ||||
\(441\) | 2.73440 | − | 29.1669i | 0.130210 | − | 1.38890i | ||||
\(442\) | 0.978603 | + | 0.978603i | 0.0465474 | + | 0.0465474i | ||||
\(443\) | 18.6578 | + | 18.6578i | 0.886457 | + | 0.886457i | 0.994181 | − | 0.107724i | \(-0.0343563\pi\) |
−0.107724 | + | 0.994181i | \(0.534356\pi\) | |||||||
\(444\) | 9.10214 | + | 9.99537i | 0.431968 | + | 0.474359i | ||||
\(445\) | 6.92549 | + | 22.3420i | 0.328300 | + | 1.05911i | ||||
\(446\) | 28.5347i | 1.35116i | ||||||||
\(447\) | 1.43211 | − | 30.6185i | 0.0677362 | − | 1.44820i | ||||
\(448\) | −2.89525 | + | 2.89525i | −0.136788 | + | 0.136788i | ||||
\(449\) | −10.1528 | −0.479142 | −0.239571 | − | 0.970879i | \(-0.577007\pi\) | ||||
−0.239571 | + | 0.970879i | \(0.577007\pi\) | |||||||
\(450\) | 4.11228 | − | 14.4253i | 0.193855 | − | 0.680015i | ||||
\(451\) | 6.83190 | 0.321702 | ||||||||
\(452\) | −13.5684 | + | 13.5684i | −0.638205 | + | 0.638205i | ||||
\(453\) | 0.634786 | − | 13.5718i | 0.0298249 | − | 0.637657i | ||||
\(454\) | 19.8797i | 0.932999i | ||||||||
\(455\) | −6.69869 | − | 21.6104i | −0.314039 | − | 1.01311i | ||||
\(456\) | −5.31519 | − | 5.83680i | −0.248907 | − | 0.273333i | ||||
\(457\) | −6.23308 | − | 6.23308i | −0.291571 | − | 0.291571i | 0.546130 | − | 0.837701i | \(-0.316101\pi\) |
−0.837701 | + | 0.546130i | \(0.816101\pi\) | |||||||
\(458\) | 6.40604 | + | 6.40604i | 0.299335 | + | 0.299335i | ||||
\(459\) | −1.74996 | − | 2.32513i | −0.0816812 | − | 0.108528i | ||||
\(460\) | −0.201033 | − | 0.105894i | −0.00937323 | − | 0.00493731i | ||||
\(461\) | − | 7.19713i | − | 0.335204i | −0.985855 | − | 0.167602i | \(-0.946398\pi\) | ||
0.985855 | − | 0.167602i | \(-0.0536023\pi\) | |||||||
\(462\) | −11.5001 | − | 0.537888i | −0.535032 | − | 0.0250248i | ||||
\(463\) | −15.5749 | + | 15.5749i | −0.723826 | + | 0.723826i | −0.969382 | − | 0.245557i | \(-0.921029\pi\) |
0.245557 | + | 0.969382i | \(0.421029\pi\) | |||||||
\(464\) | 3.20334 | 0.148711 | ||||||||
\(465\) | 3.74887 | − | 0.972613i | 0.173850 | − | 0.0451039i | ||||
\(466\) | −1.76092 | −0.0815733 | ||||||||
\(467\) | 27.0181 | − | 27.0181i | 1.25025 | − | 1.25025i | 0.294640 | − | 0.955608i | \(-0.404800\pi\) |
0.955608 | − | 0.294640i | \(-0.0951996\pi\) | |||||||
\(468\) | −4.72990 | − | 5.70851i | −0.218640 | − | 0.263876i | ||||
\(469\) | 45.2824i | 2.09095i | ||||||||
\(470\) | −20.0414 | + | 6.21235i | −0.924441 | + | 0.286554i | ||||
\(471\) | 27.7667 | − | 25.2853i | 1.27942 | − | 1.16508i | ||||
\(472\) | 4.88281 | + | 4.88281i | 0.224750 | + | 0.224750i | ||||
\(473\) | 12.4629 | + | 12.4629i | 0.573045 | + | 0.573045i | ||||
\(474\) | 0.293383 | − | 0.267165i | 0.0134755 | − | 0.0122713i | ||||
\(475\) | 12.8895 | + | 18.7934i | 0.591410 | + | 0.862299i | ||||
\(476\) | − | 2.29311i | − | 0.105104i | ||||||
\(477\) | −6.75267 | − | 8.14977i | −0.309183 | − | 0.373152i | ||||
\(478\) | 11.1646 | − | 11.1646i | 0.510659 | − | 0.510659i | ||||
\(479\) | −20.0787 | −0.917419 | −0.458710 | − | 0.888586i | \(-0.651688\pi\) | ||||
−0.458710 | + | 0.888586i | \(0.651688\pi\) | |||||||
\(480\) | 1.96311 | − | 3.33859i | 0.0896033 | − | 0.152385i | ||||
\(481\) | −19.2874 | −0.879430 | ||||||||
\(482\) | 6.76044 | − | 6.76044i | 0.307929 | − | 0.307929i | ||||
\(483\) | 0.719853 | + | 0.0336694i | 0.0327545 | + | 0.00153201i | ||||
\(484\) | − | 8.36472i | − | 0.380214i | ||||||
\(485\) | −11.7376 | + | 22.2832i | −0.532976 | + | 1.01183i | ||||
\(486\) | 8.17054 | + | 13.2756i | 0.370623 | + | 0.602195i | ||||
\(487\) | 1.10651 | + | 1.10651i | 0.0501406 | + | 0.0501406i | 0.731733 | − | 0.681592i | \(-0.238712\pi\) |
−0.681592 | + | 0.731733i | \(0.738712\pi\) | |||||||
\(488\) | −6.18029 | − | 6.18029i | −0.279769 | − | 0.279769i | ||||
\(489\) | 22.0184 | + | 24.1792i | 0.995707 | + | 1.09342i | ||||
\(490\) | −10.1761 | + | 19.3188i | −0.459709 | + | 0.872734i | ||||
\(491\) | − | 39.8508i | − | 1.79844i | −0.437496 | − | 0.899220i | \(-0.644135\pi\) | ||
0.437496 | − | 0.899220i | \(-0.355865\pi\) | |||||||
\(492\) | 0.340569 | − | 7.28139i | 0.0153540 | − | 0.328270i | ||||
\(493\) | −1.26856 | + | 1.26856i | −0.0571331 | + | 0.0571331i | ||||
\(494\) | 11.2629 | 0.506741 | ||||||||
\(495\) | 10.6571 | − | 2.23926i | 0.479000 | − | 0.100647i | ||||
\(496\) | 1.00000 | 0.0449013 | ||||||||
\(497\) | −21.3720 | + | 21.3720i | −0.958666 | + | 0.958666i | ||||
\(498\) | −0.0953541 | + | 2.03868i | −0.00427292 | + | 0.0913552i | ||||
\(499\) | − | 1.93331i | − | 0.0865468i | −0.999063 | − | 0.0432734i | \(-0.986221\pi\) | ||
0.999063 | − | 0.0432734i | \(-0.0137787\pi\) | |||||||
\(500\) | −6.93447 | + | 8.77002i | −0.310119 | + | 0.392207i | ||||
\(501\) | −6.18349 | − | 6.79031i | −0.276258 | − | 0.303369i | ||||
\(502\) | −5.78650 | − | 5.78650i | −0.258264 | − | 0.258264i | ||||
\(503\) | 1.63114 | + | 1.63114i | 0.0727289 | + | 0.0727289i | 0.742536 | − | 0.669807i | \(-0.233623\pi\) |
−0.669807 | + | 0.742536i | \(0.733623\pi\) | |||||||
\(504\) | −1.14655 | + | 12.2299i | −0.0510715 | + | 0.544762i | ||||
\(505\) | −28.9942 | + | 8.98751i | −1.29023 | + | 0.399939i | ||||
\(506\) | − | 0.164957i | − | 0.00733323i | ||||||
\(507\) | −11.9268 | − | 0.557845i | −0.529686 | − | 0.0247748i | ||||
\(508\) | −1.53100 | + | 1.53100i | −0.0679270 | + | 0.0679270i | ||||
\(509\) | 40.9970 | 1.81716 | 0.908581 | − | 0.417709i | \(-0.137167\pi\) | ||||
0.908581 | + | 0.417709i | \(0.137167\pi\) | |||||||
\(510\) | 0.544708 | + | 2.09954i | 0.0241201 | + | 0.0929691i | ||||
\(511\) | 42.6981 | 1.88885 | ||||||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −23.4504 | − | 3.30983i | −1.03536 | − | 0.146132i | ||||
\(514\) | − | 5.69257i | − | 0.251089i | ||||||
\(515\) | −3.98414 | − | 2.09863i | −0.175562 | − | 0.0924765i | ||||
\(516\) | 13.9041 | − | 12.6616i | 0.612096 | − | 0.557396i | ||||
\(517\) | −10.7712 | − | 10.7712i | −0.473717 | − | 0.473717i | ||||
\(518\) | 22.5976 | + | 22.5976i | 0.992880 | + | 0.992880i | ||||
\(519\) | 0.899920 | − | 0.819498i | 0.0395021 | − | 0.0359720i | ||||
\(520\) | 1.63602 | + | 5.27790i | 0.0717443 | + | 0.231451i | ||||
\(521\) | 33.9332i | 1.48664i | 0.668936 | + | 0.743320i | \(0.266750\pi\) | ||||
−0.668936 | + | 0.743320i | \(0.733250\pi\) | |||||||
\(522\) | 7.39992 | − | 6.13136i | 0.323886 | − | 0.268362i | ||||
\(523\) | 27.3843 | − | 27.3843i | 1.19743 | − | 1.19743i | 0.222500 | − | 0.974933i | \(-0.428578\pi\) |
0.974933 | − | 0.222500i | \(-0.0714217\pi\) | |||||||
\(524\) | −1.63084 | −0.0712437 | ||||||||
\(525\) | 8.11742 | − | 34.5178i | 0.354273 | − | 1.50648i | ||||
\(526\) | −21.6150 | −0.942457 | ||||||||
\(527\) | −0.396012 | + | 0.396012i | −0.0172506 | + | 0.0172506i | ||||
\(528\) | 2.80866 | + | 0.131368i | 0.122231 | + | 0.00571707i | ||||
\(529\) | − | 22.9897i | − | 0.999551i | ||||||
\(530\) | 2.33567 | + | 7.53501i | 0.101455 | + | 0.327300i | ||||
\(531\) | 20.6256 | + | 1.93365i | 0.895074 | + | 0.0839133i | ||||
\(532\) | −13.1959 | − | 13.1959i | −0.572113 | − | 0.572113i | ||||
\(533\) | 7.35379 | + | 7.35379i | 0.318528 | + | 0.318528i | ||||
\(534\) | 12.1991 | + | 13.3962i | 0.527906 | + | 0.579712i | ||||
\(535\) | 8.39473 | + | 4.42189i | 0.362936 | + | 0.191175i | ||||
\(536\) | − | 11.0593i | − | 0.477690i | ||||||
\(537\) | −0.460789 | + | 9.85169i | −0.0198845 | + | 0.425132i | ||||
\(538\) | 10.6338 | − | 10.6338i | 0.458456 | − | 0.458456i | ||||
\(539\) | −15.8519 | −0.682792 | ||||||||
\(540\) | −1.85533 | − | 11.4699i | −0.0798408 | − | 0.493584i | ||||
\(541\) | −24.7593 | −1.06449 | −0.532243 | − | 0.846592i | \(-0.678651\pi\) | ||||
−0.532243 | + | 0.846592i | \(0.678651\pi\) | |||||||
\(542\) | −8.97885 | + | 8.97885i | −0.385674 | + | 0.385674i | ||||
\(543\) | −1.30303 | + | 27.8588i | −0.0559183 | + | 1.19554i | ||||
\(544\) | 0.560046i | 0.0240118i | ||||||||
\(545\) | 16.8907 | − | 5.23571i | 0.723518 | − | 0.224273i | ||||
\(546\) | −11.7996 | − | 12.9575i | −0.504976 | − | 0.554531i | ||||
\(547\) | −16.5080 | − | 16.5080i | −0.705831 | − | 0.705831i | 0.259825 | − | 0.965656i | \(-0.416335\pi\) |
−0.965656 | + | 0.259825i | \(0.916335\pi\) | |||||||
\(548\) | −10.3702 | − | 10.3702i | −0.442995 | − | 0.442995i | ||||
\(549\) | −26.1063 | − | 2.44747i | −1.11419 | − | 0.104455i | ||||
\(550\) | −7.97942 | − | 1.48692i | −0.340244 | − | 0.0634023i | ||||
\(551\) | 14.6000i | 0.621983i | ||||||||
\(552\) | −0.175810 | − | 0.00822308i | −0.00748296 | − | 0.000349997i | ||||
\(553\) | 0.663281 | − | 0.663281i | 0.0282056 | − | 0.0282056i | ||||
\(554\) | −16.0486 | −0.681838 | ||||||||
\(555\) | −26.0579 | − | 15.3222i | −1.10610 | − | 0.650390i | ||||
\(556\) | −15.9812 | −0.677754 | ||||||||
\(557\) | 32.1980 | − | 32.1980i | 1.36427 | − | 1.36427i | 0.495887 | − | 0.868387i | \(-0.334843\pi\) |
0.868387 | − | 0.495887i | \(-0.165157\pi\) | |||||||
\(558\) | 2.31007 | − | 1.91405i | 0.0977929 | − | 0.0810283i | ||||
\(559\) | 26.8299i | 1.13478i | ||||||||
\(560\) | 4.26691 | − | 8.10050i | 0.180310 | − | 0.342309i | ||||
\(561\) | −1.16429 | + | 1.06024i | −0.0491563 | + | 0.0447634i | ||||
\(562\) | −20.0900 | − | 20.0900i | −0.847444 | − | 0.847444i | ||||
\(563\) | −6.51375 | − | 6.51375i | −0.274522 | − | 0.274522i | 0.556396 | − | 0.830917i | \(-0.312184\pi\) |
−0.830917 | + | 0.556396i | \(0.812184\pi\) | |||||||
\(564\) | −12.0168 | + | 10.9429i | −0.505999 | + | 0.460780i | ||||
\(565\) | 19.9966 | − | 37.9626i | 0.841264 | − | 1.59710i | ||||
\(566\) | 10.7825i | 0.453223i | ||||||||
\(567\) | 20.7600 | + | 30.4464i | 0.871839 | + | 1.27863i | ||||
\(568\) | 5.21969 | − | 5.21969i | 0.219013 | − | 0.219013i | ||||
\(569\) | −1.99748 | −0.0837389 | −0.0418694 | − | 0.999123i | \(-0.513331\pi\) | ||||
−0.0418694 | + | 0.999123i | \(0.513331\pi\) | |||||||
\(570\) | 15.2165 | + | 8.94738i | 0.637349 | + | 0.374765i | ||||
\(571\) | −10.3526 | −0.433244 | −0.216622 | − | 0.976256i | \(-0.569504\pi\) | ||||
−0.216622 | + | 0.976256i | \(0.569504\pi\) | |||||||
\(572\) | −2.83659 | + | 2.83659i | −0.118604 | + | 0.118604i | ||||
\(573\) | −23.8919 | − | 1.11749i | −0.998100 | − | 0.0466837i | ||||
\(574\) | − | 17.2317i | − | 0.719239i | ||||||
\(575\) | 0.499476 | + | 0.0930744i | 0.0208296 | + | 0.00388147i | ||||
\(576\) | 0.280023 | − | 2.98690i | 0.0116676 | − | 0.124454i | ||||
\(577\) | 31.4080 | + | 31.4080i | 1.30753 | + | 1.30753i | 0.923190 | + | 0.384344i | \(0.125572\pi\) |
0.384344 | + | 0.923190i | \(0.374428\pi\) | |||||||
\(578\) | 11.7990 | + | 11.7990i | 0.490775 | + | 0.490775i | ||||
\(579\) | 15.3836 | + | 16.8933i | 0.639321 | + | 0.702061i | ||||
\(580\) | −6.84172 | + | 2.12077i | −0.284087 | + | 0.0880601i | ||||
\(581\) | 4.82462i | 0.200159i | ||||||||
\(582\) | −0.911472 | + | 19.4873i | −0.0377817 | + | 0.807775i | ||||
\(583\) | −4.04967 | + | 4.04967i | −0.167720 | + | 0.167720i | ||||
\(584\) | −10.4282 | −0.431520 | ||||||||
\(585\) | 13.8815 | + | 9.06086i | 0.573929 | + | 0.374620i | ||||
\(586\) | 7.18467 | 0.296796 | ||||||||
\(587\) | −29.2278 | + | 29.2278i | −1.20636 | + | 1.20636i | −0.234162 | + | 0.972198i | \(0.575235\pi\) |
−0.972198 | + | 0.234162i | \(0.924765\pi\) | |||||||
\(588\) | −0.790217 | + | 16.8949i | −0.0325880 | + | 0.696733i | ||||
\(589\) | 4.55776i | 0.187799i | ||||||||
\(590\) | −13.6614 | − | 7.19610i | −0.562432 | − | 0.296259i | ||||
\(591\) | 29.0623 | + | 31.9143i | 1.19546 | + | 1.31278i | ||||
\(592\) | −5.51900 | − | 5.51900i | −0.226830 | − | 0.226830i | ||||
\(593\) | −10.4703 | − | 10.4703i | −0.429964 | − | 0.429964i | 0.458652 | − | 0.888616i | \(-0.348333\pi\) |
−0.888616 | + | 0.458652i | \(0.848333\pi\) | |||||||
\(594\) | 6.73964 | − | 5.07246i | 0.276531 | − | 0.208126i | ||||
\(595\) | 1.51815 | + | 4.89764i | 0.0622381 | + | 0.200784i | ||||
\(596\) | 17.6969i | 0.724894i | ||||||||
\(597\) | 7.67662 | + | 0.359055i | 0.314183 | + | 0.0146951i | ||||
\(598\) | 0.177558 | − | 0.177558i | 0.00726089 | − | 0.00726089i | ||||
\(599\) | −10.7834 | −0.440598 | −0.220299 | − | 0.975432i | \(-0.570703\pi\) | ||||
−0.220299 | + | 0.975432i | \(0.570703\pi\) | |||||||
\(600\) | −1.98252 | + | 8.43028i | −0.0809359 | + | 0.344165i | ||||
\(601\) | −38.9612 | −1.58926 | −0.794630 | − | 0.607094i | \(-0.792335\pi\) | ||||
−0.794630 | + | 0.607094i | \(0.792335\pi\) | |||||||
\(602\) | 31.4345 | − | 31.4345i | 1.28118 | − | 1.28118i | ||||
\(603\) | −21.1681 | − | 25.5478i | −0.862034 | − | 1.04039i | ||||
\(604\) | 7.84423i | 0.319177i | ||||||||
\(605\) | 5.53786 | + | 17.8655i | 0.225146 | + | 0.726334i | ||||
\(606\) | −17.3849 | + | 15.8313i | −0.706213 | + | 0.643102i | ||||
\(607\) | 8.11174 | + | 8.11174i | 0.329245 | + | 0.329245i | 0.852300 | − | 0.523054i | \(-0.175207\pi\) |
−0.523054 | + | 0.852300i | \(0.675207\pi\) | |||||||
\(608\) | 3.22282 | + | 3.22282i | 0.130703 | + | 0.130703i | ||||
\(609\) | 16.7968 | − | 15.2958i | 0.680641 | − | 0.619816i | ||||
\(610\) | 17.2916 | + | 9.10828i | 0.700117 | + | 0.368783i | ||||
\(611\) | − | 23.1880i | − | 0.938087i | ||||||
\(612\) | 1.07196 | + | 1.29374i | 0.0433313 | + | 0.0522964i | ||||
\(613\) | 27.0043 | − | 27.0043i | 1.09069 | − | 1.09069i | 0.0952399 | − | 0.995454i | \(-0.469638\pi\) |
0.995454 | − | 0.0952399i | \(-0.0303618\pi\) | |||||||
\(614\) | −27.8425 | −1.12363 | ||||||||
\(615\) | 4.09325 | + | 15.7771i | 0.165056 | + | 0.636196i | ||||
\(616\) | 6.64683 | 0.267808 | ||||||||
\(617\) | 7.33375 | − | 7.33375i | 0.295246 | − | 0.295246i | −0.543903 | − | 0.839148i | \(-0.683054\pi\) |
0.839148 | + | 0.543903i | \(0.183054\pi\) | |||||||
\(618\) | −3.48425 | − | 0.162967i | −0.140157 | − | 0.00655550i | ||||
\(619\) | − | 34.5763i | − | 1.38974i | −0.719137 | − | 0.694869i | \(-0.755463\pi\) | ||
0.719137 | − | 0.694869i | \(-0.244537\pi\) | |||||||
\(620\) | −2.13581 | + | 0.662050i | −0.0857762 | + | 0.0265886i | ||||
\(621\) | −0.421872 | + | 0.317514i | −0.0169291 | + | 0.0127414i | ||||
\(622\) | −4.89668 | − | 4.89668i | −0.196339 | − | 0.196339i | ||||
\(623\) | 30.2863 | + | 30.2863i | 1.21339 | + | 1.21339i | ||||
\(624\) | 2.88181 | + | 3.16462i | 0.115365 | + | 0.126686i | ||||
\(625\) | 9.00453 | − | 23.3221i | 0.360181 | − | 0.932882i | ||||
\(626\) | 14.8760i | 0.594565i | ||||||||
\(627\) | −0.598746 | + | 12.8012i | −0.0239116 | + | 0.511231i | ||||
\(628\) | −15.3315 | + | 15.3315i | −0.611794 | + | 0.611794i | ||||
\(629\) | 4.37118 | 0.174290 | ||||||||
\(630\) | −5.64796 | − | 26.8798i | −0.225020 | − | 1.07092i | ||||
\(631\) | −12.9099 | −0.513935 | −0.256968 | − | 0.966420i | \(-0.582723\pi\) | ||||
−0.256968 | + | 0.966420i | \(0.582723\pi\) | |||||||
\(632\) | −0.161993 | + | 0.161993i | −0.00644375 | + | 0.00644375i | ||||
\(633\) | −1.18730 | + | 25.3845i | −0.0471909 | + | 1.00894i | ||||
\(634\) | − | 24.8379i | − | 0.986441i | ||||||
\(635\) | 2.25632 | − | 4.28352i | 0.0895395 | − | 0.169986i | ||||
\(636\) | 4.11423 | + | 4.51798i | 0.163140 | + | 0.179150i | ||||
\(637\) | −17.0629 | − | 17.0629i | −0.676056 | − | 0.676056i | ||||
\(638\) | −3.67706 | − | 3.67706i | −0.145576 | − | 0.145576i | ||||
\(639\) | 2.06706 | − | 22.0486i | 0.0817716 | − | 0.872228i | ||||
\(640\) | −1.04211 | + | 1.97839i | −0.0411929 | + | 0.0782026i | ||||
\(641\) | − | 24.4580i | − | 0.966032i | −0.875611 | − | 0.483016i | \(-0.839541\pi\) | ||
0.875611 | − | 0.483016i | \(-0.160459\pi\) | |||||||
\(642\) | 7.34145 | + | 0.343378i | 0.289744 | + | 0.0135521i | ||||
\(643\) | −25.1274 | + | 25.1274i | −0.990929 | + | 0.990929i | −0.999959 | − | 0.00903042i | \(-0.997125\pi\) |
0.00903042 | + | 0.999959i | \(0.497125\pi\) | |||||||
\(644\) | −0.416062 | −0.0163951 | ||||||||
\(645\) | −21.3140 | + | 36.2480i | −0.839239 | + | 1.42726i | ||||
\(646\) | −2.55255 | −0.100429 | ||||||||
\(647\) | −34.1529 | + | 34.1529i | −1.34269 | + | 1.34269i | −0.449317 | + | 0.893372i | \(0.648333\pi\) |
−0.893372 | + | 0.449317i | \(0.851667\pi\) | |||||||
\(648\) | −5.07022 | − | 7.43592i | −0.199177 | − | 0.292110i | ||||
\(649\) | − | 11.2098i | − | 0.440024i | ||||||
\(650\) | −6.98846 | − | 10.1895i | −0.274110 | − | 0.399664i | ||||
\(651\) | 5.24354 | − | 4.77495i | 0.205510 | − | 0.187145i | ||||
\(652\) | −13.3507 | − | 13.3507i | −0.522853 | − | 0.522853i | ||||
\(653\) | 17.7976 | + | 17.7976i | 0.696473 | + | 0.696473i | 0.963648 | − | 0.267175i | \(-0.0860902\pi\) |
−0.267175 | + | 0.963648i | \(0.586090\pi\) | |||||||
\(654\) | 10.1276 | − | 9.22258i | 0.396022 | − | 0.360632i | ||||
\(655\) | 3.48317 | − | 1.07970i | 0.136099 | − | 0.0421873i | ||||
\(656\) | 4.20851i | 0.164315i | ||||||||
\(657\) | −24.0897 | + | 19.9600i | −0.939829 | + | 0.778716i | ||||
\(658\) | −27.1676 | + | 27.1676i | −1.05910 | + | 1.05910i | ||||
\(659\) | −39.0933 | −1.52286 | −0.761428 | − | 0.648249i | \(-0.775502\pi\) | ||||
−0.761428 | + | 0.648249i | \(0.775502\pi\) | |||||||
\(660\) | −6.08575 | + | 1.57890i | −0.236887 | + | 0.0614585i | ||||
\(661\) | −19.6035 | −0.762488 | −0.381244 | − | 0.924474i | \(-0.624504\pi\) | ||||
−0.381244 | + | 0.924474i | \(0.624504\pi\) | |||||||
\(662\) | −13.5412 | + | 13.5412i | −0.526295 | + | 0.526295i | ||||
\(663\) | −2.39446 | − | 0.111995i | −0.0929931 | − | 0.00434953i | ||||
\(664\) | − | 1.17832i | − | 0.0457276i | ||||||
\(665\) | 36.9202 | + | 19.4475i | 1.43170 | + | 0.754143i | ||||
\(666\) | −23.3129 | − | 2.18559i | −0.903357 | − | 0.0846899i | ||||
\(667\) | 0.230168 | + | 0.230168i | 0.00891214 | + | 0.00891214i | ||||
\(668\) | 3.74931 | + | 3.74931i | 0.145065 | + | 0.145065i | ||||
\(669\) | −33.2768 | − | 36.5424i | −1.28656 | − | 1.41281i | ||||
\(670\) | 7.32183 | + | 23.6206i | 0.282867 | + | 0.912545i | ||||
\(671\) | 14.1885i | 0.547742i | ||||||||
\(672\) | 0.331343 | − | 7.08414i | 0.0127818 | − | 0.273277i | ||||
\(673\) | 1.80880 | − | 1.80880i | 0.0697242 | − | 0.0697242i | −0.671385 | − | 0.741109i | \(-0.734300\pi\) |
0.741109 | + | 0.671385i | \(0.234300\pi\) | |||||||
\(674\) | 0.906164 | 0.0349041 | ||||||||
\(675\) | 11.5563 | + | 23.2691i | 0.444801 | + | 0.895630i | ||||
\(676\) | 6.89344 | 0.265132 | ||||||||
\(677\) | 21.5329 | − | 21.5329i | 0.827578 | − | 0.827578i | −0.159603 | − | 0.987181i | \(-0.551021\pi\) |
0.987181 | + | 0.159603i | \(0.0510214\pi\) | |||||||
\(678\) | 1.55282 | − | 33.1994i | 0.0596357 | − | 1.27502i | ||||
\(679\) | 46.1176i | 1.76983i | ||||||||
\(680\) | −0.370778 | − | 1.19615i | −0.0142187 | − | 0.0458703i | ||||
\(681\) | −23.1834 | − | 25.4585i | −0.888389 | − | 0.975571i | ||||
\(682\) | −1.14789 | − | 1.14789i | −0.0439548 | − | 0.0439548i | ||||
\(683\) | 4.74586 | + | 4.74586i | 0.181595 | + | 0.181595i | 0.792051 | − | 0.610455i | \(-0.209013\pi\) |
−0.610455 | + | 0.792051i | \(0.709013\pi\) | |||||||
\(684\) | 13.6136 | + | 1.27628i | 0.520529 | + | 0.0487997i | ||||
\(685\) | 29.0145 | + | 15.2833i | 1.10859 | + | 0.583943i | ||||
\(686\) | 11.3210i | 0.432238i | ||||||||
\(687\) | −15.6744 | − | 0.733132i | −0.598016 | − | 0.0279707i | ||||
\(688\) | −7.67725 | + | 7.67725i | −0.292693 | + | 0.292693i | ||||
\(689\) | −8.71805 | −0.332131 | ||||||||
\(690\) | 0.380941 | − | 0.0988319i | 0.0145022 | − | 0.00376247i | ||||
\(691\) | −39.0929 | −1.48716 | −0.743582 | − | 0.668644i | \(-0.766875\pi\) | ||||
−0.743582 | + | 0.668644i | \(0.766875\pi\) | |||||||
\(692\) | −0.496896 | + | 0.496896i | −0.0188891 | + | 0.0188891i | ||||
\(693\) | 15.3546 | − | 12.7224i | 0.583273 | − | 0.483283i | ||||
\(694\) | − | 16.8101i | − | 0.638103i | ||||||
\(695\) | 34.1328 | − | 10.5804i | 1.29473 | − | 0.401336i | ||||
\(696\) | −4.10229 | + | 3.73569i | −0.155497 | + | 0.141601i | ||||
\(697\) | −1.66662 | − | 1.66662i | −0.0631277 | − | 0.0631277i | ||||
\(698\) | 6.37740 | + | 6.37740i | 0.241388 | + | 0.241388i | ||||
\(699\) | 2.25509 | − | 2.05357i | 0.0852954 | − | 0.0776730i | ||||
\(700\) | −3.75037 | + | 20.1261i | −0.141751 | + | 0.760693i | ||||
\(701\) | − | 5.93509i | − | 0.224165i | −0.993699 | − | 0.112083i | \(-0.964248\pi\) | ||
0.993699 | − | 0.112083i | \(-0.0357521\pi\) | |||||||
\(702\) | 12.7144 | + | 1.79454i | 0.479875 | + | 0.0677304i | ||||
\(703\) | 25.1543 | − | 25.1543i | 0.948712 | − | 0.948712i | ||||
\(704\) | −1.62335 | −0.0611825 | ||||||||
\(705\) | 18.4209 | − | 31.3277i | 0.693770 | − | 1.17987i | ||||
\(706\) | 28.4048 | 1.06903 | ||||||||
\(707\) | −39.3038 | + | 39.3038i | −1.47817 | + | 1.47817i | ||||
\(708\) | −11.9473 | − | 0.558807i | −0.449008 | − | 0.0210013i | ||||
\(709\) | 39.1504i | 1.47032i | 0.677891 | + | 0.735162i | \(0.262894\pi\) | ||||
−0.677891 | + | 0.735162i | \(0.737106\pi\) | |||||||
\(710\) | −7.69257 | + | 14.6040i | −0.288697 | + | 0.548077i | ||||
\(711\) | −0.0641513 | + | 0.684279i | −0.00240586 | + | 0.0256625i | ||||
\(712\) | −7.39681 | − | 7.39681i | −0.277207 | − | 0.277207i | ||||
\(713\) | 0.0718525 | + | 0.0718525i | 0.00269090 | + | 0.00269090i | ||||
\(714\) | 2.67419 | + | 2.93662i | 0.100079 | + | 0.109900i | ||||
\(715\) | 4.18046 | − | 7.93639i | 0.156340 | − | 0.296804i | ||||
\(716\) | − | 5.69409i | − | 0.212798i | ||||||
\(717\) | −1.27772 | + | 27.3178i | −0.0477174 | + | 1.02020i | ||||
\(718\) | −18.6233 | + | 18.6233i | −0.695017 | + | 0.695017i | ||||
\(719\) | −40.4594 | −1.50888 | −0.754441 | − | 0.656368i | \(-0.772092\pi\) | ||||
−0.754441 | + | 0.656368i | \(0.772092\pi\) | |||||||
\(720\) | 1.37940 | + | 6.56485i | 0.0514073 | + | 0.244657i | ||||
\(721\) | −8.24563 | −0.307083 | ||||||||
\(722\) | −1.25383 | + | 1.25383i | −0.0466628 | + | 0.0466628i | ||||
\(723\) | −0.773690 | + | 16.5415i | −0.0287738 | + | 0.615186i | ||||
\(724\) | − | 16.1019i | − | 0.598422i | ||||||
\(725\) | 13.2086 | − | 9.05912i | 0.490554 | − | 0.336447i | ||||
\(726\) | 9.75481 | + | 10.7121i | 0.362035 | + | 0.397563i | ||||
\(727\) | −7.03815 | − | 7.03815i | −0.261031 | − | 0.261031i | 0.564442 | − | 0.825473i | \(-0.309091\pi\) |
−0.825473 | + | 0.564442i | \(0.809091\pi\) | |||||||
\(728\) | 7.15458 | + | 7.15458i | 0.265166 | + | 0.265166i | ||||
\(729\) | −25.9453 | − | 7.47278i | −0.960936 | − | 0.276770i | ||||
\(730\) | 22.2726 | − | 6.90396i | 0.824345 | − | 0.255527i | ||||
\(731\) | − | 6.08057i | − | 0.224898i | ||||||
\(732\) | 15.1220 | + | 0.707296i | 0.558926 | + | 0.0261424i | ||||
\(733\) | −25.0986 | + | 25.0986i | −0.927040 | + | 0.927040i | −0.997514 | − | 0.0704741i | \(-0.977549\pi\) |
0.0704741 | + | 0.997514i | \(0.477549\pi\) | |||||||
\(734\) | 8.54300 | 0.315328 | ||||||||
\(735\) | −9.49750 | − | 36.6074i | −0.350321 | − | 1.35029i | ||||
\(736\) | 0.101615 | 0.00374557 | ||||||||
\(737\) | −12.6948 | + | 12.6948i | −0.467621 | + | 0.467621i | ||||
\(738\) | 8.05531 | + | 9.72193i | 0.296520 | + | 0.357869i | ||||
\(739\) | − | 27.0688i | − | 0.995740i | −0.867252 | − | 0.497870i | \(-0.834116\pi\) | ||
0.867252 | − | 0.497870i | \(-0.165884\pi\) | |||||||
\(740\) | 15.4414 | + | 8.13369i | 0.567637 | + | 0.299001i | ||||
\(741\) | −14.4236 | + | 13.1346i | −0.529864 | + | 0.482512i | ||||
\(742\) | 10.2143 | + | 10.2143i | 0.374977 | + | 0.374977i | ||||
\(743\) | −17.7922 | − | 17.7922i | −0.652731 | − | 0.652731i | 0.300919 | − | 0.953650i | \(-0.402707\pi\) |
−0.953650 | + | 0.300919i | \(0.902707\pi\) | |||||||
\(744\) | −1.28063 | + | 1.16619i | −0.0469501 | + | 0.0427544i | ||||
\(745\) | −11.7162 | − | 37.7973i | −0.429250 | − | 1.38479i | ||||
\(746\) | 14.8527i | 0.543796i | ||||||||
\(747\) | −2.25536 | − | 2.72199i | −0.0825193 | − | 0.0995923i | ||||
\(748\) | 0.642868 | − | 0.642868i | 0.0235056 | − | 0.0235056i | ||||
\(749\) | 17.3739 | 0.634827 | ||||||||
\(750\) | −1.34698 | − | 19.3180i | −0.0491849 | − | 0.705394i | ||||
\(751\) | −17.7423 | −0.647424 | −0.323712 | − | 0.946156i | \(-0.604931\pi\) | ||||
−0.323712 | + | 0.946156i | \(0.604931\pi\) | |||||||
\(752\) | 6.63515 | − | 6.63515i | 0.241959 | − | 0.241959i | ||||
\(753\) | 14.1585 | + | 0.662229i | 0.515964 | + | 0.0241330i | ||||
\(754\) | − | 7.91591i | − | 0.288280i | ||||||
\(755\) | −5.19327 | − | 16.7538i | −0.189002 | − | 0.609733i | ||||
\(756\) | −12.7940 | − | 16.9990i | −0.465313 | − | 0.618249i | ||||
\(757\) | −23.0320 | − | 23.0320i | −0.837113 | − | 0.837113i | 0.151365 | − | 0.988478i | \(-0.451633\pi\) |
−0.988478 | + | 0.151365i | \(0.951633\pi\) | |||||||
\(758\) | −1.10088 | − | 1.10088i | −0.0399857 | − | 0.0399857i | ||||
\(759\) | 0.192370 | + | 0.211249i | 0.00698260 | + | 0.00766784i | ||||
\(760\) | −9.01701 | − | 4.74967i | −0.327081 | − | 0.172289i | ||||
\(761\) | 0.261797i | 0.00949014i | 0.999989 | + | 0.00474507i | \(0.00151041\pi\) | ||||
−0.999989 | + | 0.00474507i | \(0.998490\pi\) | |||||||
\(762\) | 0.175213 | − | 3.74607i | 0.00634730 | − | 0.135706i | ||||
\(763\) | 22.8966 | − | 22.8966i | 0.828912 | − | 0.828912i | ||||
\(764\) | 13.8091 | 0.499595 | ||||||||
\(765\) | −3.14602 | − | 2.05350i | −0.113745 | − | 0.0742444i | ||||
\(766\) | 5.00263 | 0.180752 | ||||||||
\(767\) | 12.0661 | − | 12.0661i | 0.435683 | − | 0.435683i | ||||
\(768\) | −0.0809240 | + | 1.73016i | −0.00292009 | + | 0.0624317i | ||||
\(769\) | − | 7.62321i | − | 0.274900i | −0.990509 | − | 0.137450i | \(-0.956109\pi\) | ||
0.990509 | − | 0.137450i | \(-0.0438906\pi\) | |||||||
\(770\) | −14.1964 | + | 4.40053i | −0.511602 | + | 0.158584i | ||||
\(771\) | 6.63860 | + | 7.29008i | 0.239083 | + | 0.262546i | ||||
\(772\) | −9.32773 | − | 9.32773i | −0.335712 | − | 0.335712i | ||||
\(773\) | −20.6595 | − | 20.6595i | −0.743070 | − | 0.743070i | 0.230097 | − | 0.973168i | \(-0.426096\pi\) |
−0.973168 | + | 0.230097i | \(0.926096\pi\) | |||||||
\(774\) | −3.04028 | + | 32.4296i | −0.109281 | + | 1.16566i | ||||
\(775\) | 4.12338 | − | 2.82803i | 0.148116 | − | 0.101586i | ||||
\(776\) | − | 11.2633i | − | 0.404329i | ||||||
\(777\) | −55.2920 | − | 2.58615i | −1.98359 | − | 0.0927776i | ||||
\(778\) | −23.0901 | + | 23.0901i | −0.827819 | + | 0.827819i | ||||
\(779\) | −19.1814 | −0.687244 | ||||||||
\(780\) | −8.25015 | − | 4.85113i | −0.295403 | − | 0.173698i | ||||
\(781\) | −11.9832 | −0.428793 | ||||||||
\(782\) | −0.0402407 | + | 0.0402407i | −0.00143900 | + | 0.00143900i | ||||
\(783\) | −2.32625 | + | 16.4817i | −0.0831334 | + | 0.589007i | ||||
\(784\) | − | 9.76493i | − | 0.348747i | ||||||
\(785\) | 22.5950 | − | 42.8955i | 0.806450 | − | 1.53100i | ||||
\(786\) | 2.08851 | − | 1.90187i | 0.0744945 | − | 0.0678373i | ||||
\(787\) | −1.98539 | − | 1.98539i | −0.0707716 | − | 0.0707716i | 0.670835 | − | 0.741607i | \(-0.265936\pi\) |
−0.741607 | + | 0.670835i | \(0.765936\pi\) | |||||||
\(788\) | −17.6217 | − | 17.6217i | −0.627746 | − | 0.627746i | ||||
\(789\) | 27.6808 | − | 25.2071i | 0.985461 | − | 0.897395i | ||||
\(790\) | 0.238739 | − | 0.453235i | 0.00849397 | − | 0.0161254i | ||||
\(791\) | − | 78.5679i | − | 2.79355i | ||||||
\(792\) | −3.75006 | + | 3.10719i | −0.133252 | + | 0.110409i | ||||
\(793\) | −15.2724 | + | 15.2724i | −0.542339 | + | 0.542339i | ||||
\(794\) | −12.0754 | −0.428542 | ||||||||
\(795\) | −11.7784 | − | 6.92573i | −0.417735 | − | 0.245630i | ||||
\(796\) | −4.43694 | −0.157263 | ||||||||
\(797\) | 32.7775 | − | 32.7775i | 1.16104 | − | 1.16104i | 0.176790 | − | 0.984249i | \(-0.443429\pi\) |
0.984249 | − | 0.176790i | \(-0.0565713\pi\) | |||||||
\(798\) | 32.2878 | + | 1.51018i | 1.14298 | + | 0.0534599i | ||||
\(799\) | 5.25519i | 0.185915i | ||||||||
\(800\) | 0.915953 | − | 4.91539i | 0.0323838 | − | 0.173785i | ||||
\(801\) | −31.2450 | − | 2.92923i | −1.10399 | − | 0.103499i | ||||
\(802\) | 22.4116 | + | 22.4116i | 0.791383 | + | 0.791383i | ||||
\(803\) | 11.9703 | + | 11.9703i | 0.422424 | + | 0.422424i | ||||
\(804\) | 12.8972 | + | 14.1629i | 0.454850 | + | 0.499487i | ||||
\(805\) | 0.888630 | − | 0.275454i | 0.0313201 | − | 0.00970847i | ||||
\(806\) | − | 2.47114i | − | 0.0870424i | ||||||
\(807\) | −1.21697 | + | 26.0190i | −0.0428395 | + | 0.915911i | ||||
\(808\) | 9.59917 | − | 9.59917i | 0.337698 | − | 0.337698i | ||||
\(809\) | 11.4242 | 0.401655 | 0.200827 | − | 0.979627i | \(-0.435637\pi\) | ||||
0.200827 | + | 0.979627i | \(0.435637\pi\) | |||||||
\(810\) | 15.7520 | + | 12.5250i | 0.553468 | + | 0.440083i | ||||
\(811\) | −30.9776 | −1.08777 | −0.543886 | − | 0.839159i | \(-0.683048\pi\) | ||||
−0.543886 | + | 0.839159i | \(0.683048\pi\) | |||||||
\(812\) | −9.27446 | + | 9.27446i | −0.325470 | + | 0.325470i | ||||
\(813\) | 1.02757 | − | 21.9696i | 0.0360386 | − | 0.770507i | ||||
\(814\) | 12.6704i | 0.444096i | ||||||||
\(815\) | 37.3534 | + | 19.6757i | 1.30843 | + | 0.689211i | ||||
\(816\) | −0.653117 | − | 0.717211i | −0.0228637 | − | 0.0251074i | ||||
\(817\) | −34.9911 | − | 34.9911i | −1.22418 | − | 1.22418i | ||||
\(818\) | 13.3722 | + | 13.3722i | 0.467549 | + | 0.467549i | ||||
\(819\) | 30.2218 | + | 2.83330i | 1.05603 | + | 0.0990035i | ||||
\(820\) | −2.78624 | − | 8.98858i | −0.0972998 | − | 0.313895i | ||||
\(821\) | 1.02880i | 0.0359054i | 0.999839 | + | 0.0179527i | \(0.00571482\pi\) | ||||
−0.999839 | + | 0.0179527i | \(0.994285\pi\) | |||||||
\(822\) | 25.3741 | + | 1.18681i | 0.885022 | + | 0.0413947i | ||||
\(823\) | 24.6895 | − | 24.6895i | 0.860621 | − | 0.860621i | −0.130789 | − | 0.991410i | \(-0.541751\pi\) |
0.991410 | + | 0.130789i | \(0.0417511\pi\) | |||||||
\(824\) | 2.01383 | 0.0701551 | ||||||||
\(825\) | 11.9527 | − | 7.40129i | 0.416140 | − | 0.257680i | ||||
\(826\) | −28.2739 | −0.983775 | ||||||||
\(827\) | −6.48529 | + | 6.48529i | −0.225516 | + | 0.225516i | −0.810816 | − | 0.585301i | \(-0.800976\pi\) |
0.585301 | + | 0.810816i | \(0.300976\pi\) | |||||||
\(828\) | 0.234737 | − | 0.194496i | 0.00815767 | − | 0.00675921i | ||||
\(829\) | − | 17.3145i | − | 0.601356i | −0.953726 | − | 0.300678i | \(-0.902787\pi\) | ||
0.953726 | − | 0.300678i | \(-0.0972129\pi\) | |||||||
\(830\) | 0.780104 | + | 2.51666i | 0.0270778 | + | 0.0873546i | ||||
\(831\) | 20.5523 | − | 18.7156i | 0.712950 | − | 0.649237i | ||||
\(832\) | −1.74736 | − | 1.74736i | −0.0605789 | − | 0.0605789i | ||||
\(833\) | 3.86703 | + | 3.86703i | 0.133985 | + | 0.133985i | ||||
\(834\) | 20.4660 | − | 18.6370i | 0.708679 | − | 0.645348i | ||||
\(835\) | −10.4900 | − | 5.52558i | −0.363023 | − | 0.191221i | ||||
\(836\) | − | 7.39886i | − | 0.255895i | ||||||
\(837\) | −0.726196 | + | 5.14516i | −0.0251010 | + | 0.177843i | ||||
\(838\) | −4.99806 | + | 4.99806i | −0.172655 | + | 0.172655i | ||||
\(839\) | −13.9786 | −0.482594 | −0.241297 | − | 0.970451i | \(-0.577573\pi\) | ||||
−0.241297 | + | 0.970451i | \(0.577573\pi\) | |||||||
\(840\) | 3.98236 | + | 15.3497i | 0.137405 | + | 0.529617i | ||||
\(841\) | −18.7386 | −0.646160 | ||||||||
\(842\) | 21.0221 | − | 21.0221i | 0.724468 | − | 0.724468i | ||||
\(843\) | 49.1564 | + | 2.29917i | 1.69304 | + | 0.0791877i | ||||
\(844\) | − | 14.6718i | − | 0.505023i | ||||||
\(845\) | −14.7231 | + | 4.56380i | −0.506490 | + | 0.157000i | ||||
\(846\) | 2.62760 | − | 28.0276i | 0.0903386 | − | 0.963610i | ||||
\(847\) | 24.2179 | + | 24.2179i | 0.832138 | + | 0.832138i | ||||
\(848\) | −2.49463 | − | 2.49463i | −0.0856660 | − | 0.0856660i | ||||
\(849\) | −12.5744 | − | 13.8084i | −0.431552 | − | 0.473903i | ||||
\(850\) | 1.58382 | + | 2.30928i | 0.0543247 | + | 0.0792077i | ||||
\(851\) | − | 0.793109i | − | 0.0271874i | ||||||
\(852\) | −0.597361 | + | 12.7716i | −0.0204652 | + | 0.437548i | ||||
\(853\) | −37.6051 | + | 37.6051i | −1.28757 | + | 1.28757i | −0.351319 | + | 0.936256i | \(0.614267\pi\) |
−0.936256 | + | 0.351319i | \(0.885733\pi\) | |||||||
\(854\) | 35.7870 | 1.22460 | ||||||||
\(855\) | −29.9210 | + | 6.28699i | −1.02328 | + | 0.215010i | ||||
\(856\) | −4.24322 | −0.145030 | ||||||||
\(857\) | 10.2076 | − | 10.2076i | 0.348686 | − | 0.348686i | −0.510934 | − | 0.859620i | \(-0.670700\pi\) |
0.859620 | + | 0.510934i | \(0.170700\pi\) | |||||||
\(858\) | 0.324630 | − | 6.94061i | 0.0110827 | − | 0.236949i | ||||
\(859\) | − | 42.2900i | − | 1.44292i | −0.692458 | − | 0.721458i | \(-0.743472\pi\) | ||
0.692458 | − | 0.721458i | \(-0.256528\pi\) | |||||||
\(860\) | 11.3144 | − | 21.4799i | 0.385819 | − | 0.732458i | ||||
\(861\) | 20.0954 | + | 22.0675i | 0.684849 | + | 0.752057i | ||||
\(862\) | 19.2214 | + | 19.2214i | 0.654684 | + | 0.654684i | ||||
\(863\) | 2.70566 | + | 2.70566i | 0.0921017 | + | 0.0921017i | 0.751656 | − | 0.659555i | \(-0.229255\pi\) |
−0.659555 | + | 0.751656i | \(0.729255\pi\) | |||||||
\(864\) | 3.12468 | + | 4.15167i | 0.106304 | + | 0.141243i | ||||
\(865\) | 0.732306 | − | 1.39025i | 0.0248991 | − | 0.0472698i | ||||
\(866\) | − | 17.0488i | − | 0.579342i | ||||||
\(867\) | −28.8700 | − | 1.35033i | −0.980478 | − | 0.0458595i | ||||
\(868\) | −2.89525 | + | 2.89525i | −0.0982711 | + | 0.0982711i | ||||
\(869\) | 0.371899 | 0.0126158 | ||||||||
\(870\) | 6.28850 | − | 10.6946i | 0.213200 | − | 0.362582i | ||||
\(871\) | −27.3292 | −0.926015 | ||||||||
\(872\) | −5.59204 | + | 5.59204i | −0.189370 | + | 0.189370i | ||||
\(873\) | −21.5586 | − | 26.0190i | −0.729647 | − | 0.880609i | ||||
\(874\) | 0.463136i | 0.0156658i | ||||||||
\(875\) | −5.31437 | − | 45.4684i | −0.179658 | − | 1.53711i | ||||
\(876\) | 13.3546 | − | 12.1612i | 0.451210 | − | 0.410888i | ||||
\(877\) | 27.0903 | + | 27.0903i | 0.914774 | + | 0.914774i | 0.996643 | − | 0.0818686i | \(-0.0260888\pi\) |
−0.0818686 | + | 0.996643i | \(0.526089\pi\) | |||||||
\(878\) | 3.10046 | + | 3.10046i | 0.104636 | + | 0.104636i | ||||
\(879\) | −9.20090 | + | 8.37866i | −0.310339 | + | 0.282605i | ||||
\(880\) | 3.46718 | − | 1.07474i | 0.116879 | − | 0.0362295i | ||||
\(881\) | − | 14.3326i | − | 0.482878i | −0.970416 | − | 0.241439i | \(-0.922381\pi\) | ||
0.970416 | − | 0.241439i | \(-0.0776193\pi\) | |||||||
\(882\) | −18.6906 | − | 22.5576i | −0.629345 | − | 0.759554i | ||||
\(883\) | −3.56870 | + | 3.56870i | −0.120096 | + | 0.120096i | −0.764601 | − | 0.644504i | \(-0.777064\pi\) |
0.644504 | + | 0.764601i | \(0.277064\pi\) | |||||||
\(884\) | 1.38395 | 0.0465474 | ||||||||
\(885\) | 25.8872 | − | 6.71622i | 0.870189 | − | 0.225763i | ||||
\(886\) | 26.3861 | 0.886457 | ||||||||
\(887\) | 29.8263 | − | 29.8263i | 1.00147 | − | 1.00147i | 0.00147171 | − | 0.999999i | \(-0.499532\pi\) |
0.999999 | − | 0.00147171i | \(-0.000468459\pi\) | |||||||
\(888\) | 13.5040 | + | 0.631616i | 0.453164 | + | 0.0211956i | ||||
\(889\) | − | 8.86524i | − | 0.297330i | ||||||
\(890\) | 20.6953 | + | 10.9011i | 0.693707 | + | 0.365407i | ||||
\(891\) | −2.71555 | + | 14.3556i | −0.0909744 | + | 0.480931i | ||||
\(892\) | 20.1771 | + | 20.1771i | 0.675580 | + | 0.675580i | ||||
\(893\) | 30.2414 | + | 30.2414i | 1.01199 | + | 1.01199i | ||||
\(894\) | −20.6379 | − | 22.6632i | −0.690234 | − | 0.757971i | ||||
\(895\) | 3.76977 | + | 12.1615i | 0.126010 | + | 0.406514i | ||||
\(896\) | 4.09450i | 0.136788i | ||||||||
\(897\) | −0.0203204 | + | 0.434452i | −0.000678479 | + | 0.0145059i | ||||
\(898\) | −7.17914 | + | 7.17914i | −0.239571 | + | 0.239571i | ||||
\(899\) | 3.20334 | 0.106837 | ||||||||
\(900\) | −7.29240 | − | 13.1080i | −0.243080 | − | 0.436935i | ||||
\(901\) | 1.97581 | 0.0658237 | ||||||||
\(902\) | 4.83088 | − | 4.83088i | 0.160851 | − | 0.160851i | ||||
\(903\) | −3.59749 | + | 76.9144i | −0.119717 | + | 2.55955i | ||||
\(904\) | 19.1886i | 0.638205i | ||||||||
\(905\) | 10.6603 | + | 34.3906i | 0.354359 | + | 1.14318i | ||||
\(906\) | −9.14782 | − | 10.0455i | −0.303916 | − | 0.333741i | ||||
\(907\) | −12.9671 | − | 12.9671i | −0.430564 | − | 0.430564i | 0.458256 | − | 0.888820i | \(-0.348474\pi\) |
−0.888820 | + | 0.458256i | \(0.848474\pi\) | |||||||
\(908\) | 14.0570 | + | 14.0570i | 0.466499 | + | 0.466499i | ||||
\(909\) | 3.80139 | − | 40.5480i | 0.126084 | − | 1.34489i | ||||
\(910\) | −20.0175 | − | 10.5441i | −0.663574 | − | 0.349535i | ||||
\(911\) | 10.4211i | 0.345266i | 0.984986 | + | 0.172633i | \(0.0552275\pi\) | ||||
−0.984986 | + | 0.172633i | \(0.944773\pi\) | |||||||
\(912\) | −7.88565 | − | 0.368832i | −0.261120 | − | 0.0122133i | ||||
\(913\) | −1.35257 | + | 1.35257i | −0.0447636 | + | 0.0447636i | ||||
\(914\) | −8.81490 | −0.291571 | ||||||||
\(915\) | −32.7661 | + | 8.50089i | −1.08321 | + | 0.281031i | ||||
\(916\) | 9.05951 | 0.299335 | ||||||||
\(917\) | 4.72170 | − | 4.72170i | 0.155924 | − | 0.155924i | ||||
\(918\) | −2.88152 | − | 0.406703i | −0.0951044 | − | 0.0134232i | ||||
\(919\) | − | 6.66283i | − | 0.219787i | −0.993943 | − | 0.109893i | \(-0.964949\pi\) | ||
0.993943 | − | 0.109893i | \(-0.0350509\pi\) | |||||||
\(920\) | −0.217030 | + | 0.0672741i | −0.00715527 | + | 0.00221796i | ||||
\(921\) | 35.6559 | − | 32.4695i | 1.17490 | − | 1.06991i | ||||
\(922\) | −5.08914 | − | 5.08914i | −0.167602 | − | 0.167602i | ||||
\(923\) | −12.8986 | − | 12.8986i | −0.424563 | − | 0.424563i | ||||
\(924\) | −8.51212 | + | 7.75143i | −0.280028 | + | 0.255003i | ||||
\(925\) | −38.3648 | − | 7.14906i | −1.26143 | − | 0.235060i | ||||
\(926\) | 22.0262i | 0.723826i | ||||||||
\(927\) | 4.65208 | − | 3.85458i | 0.152794 | − | 0.126601i | ||||
\(928\) | 2.26510 | − | 2.26510i | 0.0743556 | − | 0.0743556i | ||||
\(929\) | 7.60114 | 0.249385 | 0.124693 | − | 0.992195i | \(-0.460205\pi\) | ||||
0.124693 | + | 0.992195i | \(0.460205\pi\) | |||||||
\(930\) | 1.96311 | − | 3.33859i | 0.0643729 | − | 0.109477i | ||||
\(931\) | 44.5062 | 1.45863 | ||||||||
\(932\) | −1.24516 | + | 1.24516i | −0.0407866 | + | 0.0407866i | ||||
\(933\) | 11.9813 | + | 0.560395i | 0.392249 | + | 0.0183465i | ||||
\(934\) | − | 38.2093i | − | 1.25025i | ||||||
\(935\) | −0.947434 | + | 1.79866i | −0.0309844 | + | 0.0588223i | ||||
\(936\) | −7.38107 | − | 0.691977i | −0.241258 | − | 0.0226180i | ||||
\(937\) | −34.7274 | − | 34.7274i | −1.13449 | − | 1.13449i | −0.989421 | − | 0.145073i | \(-0.953658\pi\) |
−0.145073 | − | 0.989421i | \(-0.546342\pi\) | |||||||
\(938\) | 32.0195 | + | 32.0195i | 1.04547 | + | 1.04547i | ||||
\(939\) | −17.3482 | − | 19.0507i | −0.566137 | − | 0.621695i | ||||
\(940\) | −9.77862 | + | 18.5642i | −0.318943 | + | 0.605498i | ||||
\(941\) | 11.3755i | 0.370832i | 0.982660 | + | 0.185416i | \(0.0593632\pi\) | ||||
−0.982660 | + | 0.185416i | \(0.940637\pi\) | |||||||
\(942\) | 1.75460 | − | 37.5134i | 0.0571679 | − | 1.22225i | ||||
\(943\) | −0.302392 | + | 0.302392i | −0.00984724 | + | 0.00984724i | ||||
\(944\) | 6.90534 | 0.224750 | ||||||||
\(945\) | 38.5797 | + | 27.8365i | 1.25500 | + | 0.905520i | ||||
\(946\) | 17.6252 | 0.573045 | ||||||||
\(947\) | 2.49401 | − | 2.49401i | 0.0810444 | − | 0.0810444i | −0.665423 | − | 0.746467i | \(-0.731749\pi\) |
0.746467 | + | 0.665423i | \(0.231749\pi\) | |||||||
\(948\) | 0.0185391 | − | 0.396368i | 0.000602123 | − | 0.0128734i | ||||
\(949\) | 25.7695i | 0.836513i | ||||||||
\(950\) | 22.4032 | + | 4.17469i | 0.726854 | + | 0.135445i | ||||
\(951\) | 28.9657 | + | 31.8082i | 0.939276 | + | 1.03145i | ||||
\(952\) | −1.62147 | − | 1.62147i | −0.0525522 | − | 0.0525522i | ||||
\(953\) | −20.1590 | − | 20.1590i | −0.653013 | − | 0.653013i | 0.300704 | − | 0.953717i | \(-0.402778\pi\) |
−0.953717 | + | 0.300704i | \(0.902778\pi\) | |||||||
\(954\) | −10.5376 | − | 0.987904i | −0.341168 | − | 0.0319846i | ||||
\(955\) | −29.4936 | + | 9.14231i | −0.954391 | + | 0.295838i | ||||
\(956\) | − | 15.7892i | − | 0.510659i | ||||||
\(957\) | 8.99709 | + | 0.420817i | 0.290835 | + | 0.0136031i | ||||
\(958\) | −14.1978 | + | 14.1978i | −0.458710 | + | 0.458710i | ||||
\(959\) | 60.0488 | 1.93908 | ||||||||
\(960\) | −0.972613 | − | 3.74887i | −0.0313910 | − | 0.120994i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | −13.6383 | + | 13.6383i | −0.439715 | + | 0.439715i | ||||
\(963\) | −9.80211 | + | 8.12175i | −0.315869 | + | 0.261720i | ||||
\(964\) | − | 9.56070i | − | 0.307929i | ||||||
\(965\) | 26.0977 | + | 13.7468i | 0.840114 | + | 0.442527i | ||||
\(966\) | 0.532821 | − | 0.485205i | 0.0171432 | − | 0.0156112i | ||||
\(967\) | 42.9073 | + | 42.9073i | 1.37981 | + | 1.37981i | 0.844930 | + | 0.534877i | \(0.179642\pi\) |
0.534877 | + | 0.844930i | \(0.320358\pi\) | |||||||
\(968\) | −5.91475 | − | 5.91475i | −0.190107 | − | 0.190107i | ||||
\(969\) | 3.26887 | − | 2.97675i | 0.105011 | − | 0.0956270i | ||||
\(970\) | 7.45687 | + | 24.0563i | 0.239426 | + | 0.772401i | ||||
\(971\) | 13.1853i | 0.423137i | 0.977363 | + | 0.211568i | \(0.0678571\pi\) | ||||
−0.977363 | + | 0.211568i | \(0.932143\pi\) | |||||||
\(972\) | 15.1647 | + | 3.60984i | 0.486409 | + | 0.115786i | ||||
\(973\) | 46.2695 | − | 46.2695i | 1.48333 | − | 1.48333i | ||||
\(974\) | 1.56484 | 0.0501406 | ||||||||
\(975\) | 20.8324 | + | 4.89909i | 0.667172 | + | 0.156896i | ||||
\(976\) | −8.74025 | −0.279769 | ||||||||
\(977\) | −13.9002 | + | 13.9002i | −0.444706 | + | 0.444706i | −0.893590 | − | 0.448884i | \(-0.851822\pi\) |
0.448884 | + | 0.893590i | \(0.351822\pi\) | |||||||
\(978\) | 32.6667 | + | 1.52790i | 1.04456 | + | 0.0488569i | ||||
\(979\) | 16.9814i | 0.542728i | ||||||||
\(980\) | 6.46487 | + | 20.8560i | 0.206513 | + | 0.666222i | ||||
\(981\) | −2.21451 | + | 23.6214i | −0.0707040 | + | 0.754174i | ||||
\(982\) | −28.1788 | − | 28.1788i | −0.899220 | − | 0.899220i | ||||
\(983\) | 30.0974 | + | 30.0974i | 0.959958 | + | 0.959958i | 0.999229 | − | 0.0392708i | \(-0.0125035\pi\) |
−0.0392708 | + | 0.999229i | \(0.512504\pi\) | |||||||
\(984\) | −4.90790 | − | 5.38954i | −0.156458 | − | 0.171812i | ||||
\(985\) | 49.3030 | + | 25.9701i | 1.57092 | + | 0.827477i | ||||
\(986\) | 1.79401i | 0.0571331i | ||||||||
\(987\) | 3.10916 | − | 66.4741i | 0.0989658 | − | 2.11589i | ||||
\(988\) | 7.96406 | − | 7.96406i | 0.253371 | − | 0.253371i | ||||
\(989\) | −1.10326 | −0.0350816 | ||||||||
\(990\) | 5.95230 | − | 9.11909i | 0.189176 | − | 0.289824i | ||||
\(991\) | 42.9669 | 1.36489 | 0.682444 | − | 0.730937i | \(-0.260917\pi\) | ||||
0.682444 | + | 0.730937i | \(0.260917\pi\) | |||||||
\(992\) | 0.707107 | − | 0.707107i | 0.0224507 | − | 0.0224507i | ||||
\(993\) | 1.54971 | − | 33.1329i | 0.0491786 | − | 1.05144i | ||||
\(994\) | 30.2246i | 0.958666i | ||||||||
\(995\) | 9.47647 | − | 2.93748i | 0.300424 | − | 0.0931243i | ||||
\(996\) | 1.37414 | + | 1.50899i | 0.0435412 | + | 0.0478141i | ||||
\(997\) | −26.5138 | − | 26.5138i | −0.839701 | − | 0.839701i | 0.149118 | − | 0.988819i | \(-0.452357\pi\) |
−0.988819 | + | 0.149118i | \(0.952357\pi\) | |||||||
\(998\) | −1.36706 | − | 1.36706i | −0.0432734 | − | 0.0432734i | ||||
\(999\) | 32.4040 | − | 24.3883i | 1.02522 | − | 0.771610i |
(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 | 930.2.j.h.497.16 | yes | 40 | |
3.2 | odd | 2 | inner | 930.2.j.h.497.1 | ✓ | 40 | |
5.3 | odd | 4 | inner | 930.2.j.h.683.1 | yes | 40 | |
15.8 | even | 4 | inner | 930.2.j.h.683.16 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.j.h.497.1 | ✓ | 40 | 3.2 | odd | 2 | inner | |
930.2.j.h.497.16 | yes | 40 | 1.1 | even | 1 | trivial | |
930.2.j.h.683.1 | yes | 40 | 5.3 | odd | 4 | inner | |
930.2.j.h.683.16 | yes | 40 | 15.8 | even | 4 | inner |