Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 301.5 | ||
Character | \(\chi\) | \(=\) | 950.301 |
Dual form | 950.2.l.m.101.5 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | 3.03100 | − | 1.10319i | 1.74995 | − | 0.636929i | 0.750241 | − | 0.661165i | \(-0.229938\pi\) |
0.999706 | + | 0.0242362i | \(0.00771538\pi\) | |||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 3.03100 | + | 1.10319i | 1.23740 | + | 0.450377i | ||||
\(7\) | 1.36166 | + | 2.35847i | 0.514660 | + | 0.891417i | 0.999855 | + | 0.0170114i | \(0.00541517\pi\) |
−0.485195 | + | 0.874406i | \(0.661251\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 5.67178 | − | 4.75918i | 1.89059 | − | 1.58639i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.18927 | + | 2.05988i | −0.358580 | + | 0.621078i | −0.987724 | − | 0.156210i | \(-0.950072\pi\) |
0.629144 | + | 0.777289i | \(0.283406\pi\) | |||||||
\(12\) | 1.61276 | + | 2.79338i | 0.465564 | + | 0.806380i | ||||
\(13\) | 0.0945198 | + | 0.0344024i | 0.0262151 | + | 0.00954150i | 0.355094 | − | 0.934830i | \(-0.384449\pi\) |
−0.328879 | + | 0.944372i | \(0.606671\pi\) | |||||||
\(14\) | −0.472900 | + | 2.68195i | −0.126388 | + | 0.716782i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −4.17630 | − | 3.50433i | −1.01290 | − | 0.849925i | −0.0241821 | − | 0.999708i | \(-0.507698\pi\) |
−0.988719 | + | 0.149783i | \(0.952143\pi\) | |||||||
\(18\) | 7.40398 | 1.74513 | ||||||||
\(19\) | 1.18130 | + | 4.19577i | 0.271009 | + | 0.962577i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 6.72904 | + | 5.64633i | 1.46840 | + | 1.23213i | ||||
\(22\) | −2.23510 | + | 0.813512i | −0.476526 | + | 0.173441i | ||||
\(23\) | −0.235016 | − | 1.33284i | −0.0490042 | − | 0.277917i | 0.950453 | − | 0.310869i | \(-0.100620\pi\) |
−0.999457 | + | 0.0329524i | \(0.989509\pi\) | |||||||
\(24\) | −0.560106 | + | 3.17652i | −0.114331 | + | 0.648404i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.0502929 | + | 0.0871099i | 0.00986325 | + | 0.0170837i | ||||
\(27\) | 7.10256 | − | 12.3020i | 1.36689 | − | 2.36752i | ||||
\(28\) | −2.08619 | + | 1.75052i | −0.394252 | + | 0.330817i | ||||
\(29\) | −1.61211 | + | 1.35272i | −0.299360 | + | 0.251193i | −0.780078 | − | 0.625682i | \(-0.784821\pi\) |
0.480718 | + | 0.876875i | \(0.340376\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.26498 | − | 9.11921i | −0.945618 | − | 1.63786i | −0.754509 | − | 0.656290i | \(-0.772125\pi\) |
−0.191109 | − | 0.981569i | \(-0.561208\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | −1.33224 | + | 7.55550i | −0.231913 | + | 1.31524i | ||||
\(34\) | −0.946690 | − | 5.36895i | −0.162356 | − | 0.920766i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 5.67178 | + | 4.75918i | 0.945296 | + | 0.793197i | ||||
\(37\) | 1.18731 | 0.195193 | 0.0975965 | − | 0.995226i | \(-0.468885\pi\) | ||||
0.0975965 | + | 0.995226i | \(0.468885\pi\) | |||||||
\(38\) | −1.79206 | + | 3.97348i | −0.290711 | + | 0.644583i | ||||
\(39\) | 0.324442 | 0.0519522 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.30679 | − | 1.20357i | 0.516433 | − | 0.187966i | −0.0706374 | − | 0.997502i | \(-0.522503\pi\) |
0.587071 | + | 0.809536i | \(0.300281\pi\) | |||||||
\(42\) | 1.52535 | + | 8.65069i | 0.235367 | + | 1.33483i | ||||
\(43\) | 1.22895 | − | 6.96972i | 0.187413 | − | 1.06287i | −0.735403 | − | 0.677630i | \(-0.763007\pi\) |
0.922816 | − | 0.385242i | \(-0.125882\pi\) | |||||||
\(44\) | −2.23510 | − | 0.813512i | −0.336955 | − | 0.122641i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.676702 | − | 1.17208i | 0.0997742 | − | 0.172814i | ||||
\(47\) | −6.13425 | + | 5.14725i | −0.894772 | + | 0.750803i | −0.969162 | − | 0.246426i | \(-0.920744\pi\) |
0.0743895 | + | 0.997229i | \(0.476299\pi\) | |||||||
\(48\) | −2.47089 | + | 2.07332i | −0.356642 | + | 0.299259i | ||||
\(49\) | −0.208248 | + | 0.360697i | −0.0297498 | + | 0.0515281i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −16.5243 | − | 6.01435i | −2.31386 | − | 0.842178i | ||||
\(52\) | −0.0174665 | + | 0.0990577i | −0.00242217 | + | 0.0137368i | ||||
\(53\) | 1.94049 | + | 11.0051i | 0.266547 | + | 1.51166i | 0.764593 | + | 0.644514i | \(0.222940\pi\) |
−0.498046 | + | 0.867151i | \(0.665949\pi\) | |||||||
\(54\) | 13.3484 | − | 4.85844i | 1.81649 | − | 0.661149i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.72332 | −0.363920 | ||||||||
\(57\) | 8.20927 | + | 11.4142i | 1.08734 | + | 1.51184i | ||||
\(58\) | −2.10445 | −0.276328 | ||||||||
\(59\) | −9.13030 | − | 7.66123i | −1.18866 | − | 0.997407i | −0.999882 | − | 0.0153883i | \(-0.995102\pi\) |
−0.188782 | − | 0.982019i | \(-0.560454\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.0303598 | − | 0.172179i | −0.00388717 | − | 0.0220452i | 0.982802 | − | 0.184660i | \(-0.0591184\pi\) |
−0.986690 | + | 0.162615i | \(0.948007\pi\) | |||||||
\(62\) | 1.82851 | − | 10.3700i | 0.232221 | − | 1.31699i | ||||
\(63\) | 18.9474 | + | 6.89630i | 2.38715 | + | 0.868852i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −5.87714 | + | 4.93150i | −0.723425 | + | 0.607026i | ||||
\(67\) | 4.17582 | − | 3.50393i | 0.510157 | − | 0.428073i | −0.351027 | − | 0.936365i | \(-0.614168\pi\) |
0.861184 | + | 0.508293i | \(0.169723\pi\) | |||||||
\(68\) | 2.72588 | − | 4.72137i | 0.330562 | − | 0.572550i | ||||
\(69\) | −2.18272 | − | 3.78057i | −0.262768 | − | 0.455128i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.240963 | − | 1.36657i | 0.0285970 | − | 0.162182i | −0.967165 | − | 0.254149i | \(-0.918205\pi\) |
0.995762 | + | 0.0919676i | \(0.0293156\pi\) | |||||||
\(72\) | 1.28569 | + | 7.29149i | 0.151520 | + | 0.859311i | ||||
\(73\) | 11.3670 | − | 4.13725i | 1.33041 | − | 0.484229i | 0.423629 | − | 0.905836i | \(-0.360756\pi\) |
0.906779 | + | 0.421607i | \(0.138534\pi\) | |||||||
\(74\) | 0.909534 | + | 0.763190i | 0.105731 | + | 0.0887190i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.92690 | + | 1.89194i | −0.450446 | + | 0.217021i | ||||
\(77\) | −6.47756 | −0.738187 | ||||||||
\(78\) | 0.248537 | + | 0.208547i | 0.0281412 | + | 0.0236133i | ||||
\(79\) | −3.51498 | + | 1.27935i | −0.395466 | + | 0.143938i | −0.532095 | − | 0.846684i | \(-0.678595\pi\) |
0.136629 | + | 0.990622i | \(0.456373\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.09930 | − | 23.2483i | 0.455478 | − | 2.58314i | ||||
\(82\) | 3.30679 | + | 1.20357i | 0.365173 | + | 0.132912i | ||||
\(83\) | 4.50106 | + | 7.79606i | 0.494055 | + | 0.855729i | 0.999977 | − | 0.00685072i | \(-0.00218067\pi\) |
−0.505921 | + | 0.862580i | \(0.668847\pi\) | |||||||
\(84\) | −4.39207 | + | 7.60729i | −0.479214 | + | 0.830023i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 5.42148 | − | 4.54916i | 0.584613 | − | 0.490549i | ||||
\(87\) | −3.39398 | + | 5.87854i | −0.363873 | + | 0.630246i | ||||
\(88\) | −1.18927 | − | 2.05988i | −0.126777 | − | 0.219584i | ||||
\(89\) | −7.26423 | − | 2.64396i | −0.770007 | − | 0.280259i | −0.0730074 | − | 0.997331i | \(-0.523260\pi\) |
−0.696999 | + | 0.717072i | \(0.745482\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.0475671 | + | 0.269766i | 0.00498638 | + | 0.0282792i | ||||
\(92\) | 1.27178 | − | 0.462891i | 0.132593 | − | 0.0482598i | ||||
\(93\) | −26.0184 | − | 21.8320i | −2.69798 | − | 2.26387i | ||||
\(94\) | −8.00769 | −0.825930 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −3.22552 | −0.329203 | ||||||||
\(97\) | 2.26235 | + | 1.89834i | 0.229707 | + | 0.192747i | 0.750375 | − | 0.661012i | \(-0.229873\pi\) |
−0.520668 | + | 0.853759i | \(0.674317\pi\) | |||||||
\(98\) | −0.391379 | + | 0.142450i | −0.0395353 | + | 0.0143897i | ||||
\(99\) | 3.05807 | + | 17.3432i | 0.307348 | + | 1.74305i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.05071 | − | 2.93022i | −0.801075 | − | 0.291568i | −0.0911434 | − | 0.995838i | \(-0.529052\pi\) |
−0.709932 | + | 0.704270i | \(0.751274\pi\) | |||||||
\(102\) | −8.79240 | − | 15.2289i | −0.870577 | − | 1.50788i | ||||
\(103\) | 0.890417 | − | 1.54225i | 0.0877354 | − | 0.151962i | −0.818818 | − | 0.574053i | \(-0.805370\pi\) |
0.906554 | + | 0.422091i | \(0.138704\pi\) | |||||||
\(104\) | −0.0770532 | + | 0.0646553i | −0.00755569 | + | 0.00633998i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.58743 | + | 9.67771i | −0.542699 | + | 0.939982i | ||||
\(107\) | −4.24824 | − | 7.35816i | −0.410693 | − | 0.711340i | 0.584273 | − | 0.811557i | \(-0.301380\pi\) |
−0.994966 | + | 0.100217i | \(0.968046\pi\) | |||||||
\(108\) | 13.3484 | + | 4.85844i | 1.28445 | + | 0.467503i | ||||
\(109\) | −1.33246 | + | 7.55678i | −0.127627 | + | 0.723808i | 0.852086 | + | 0.523402i | \(0.175337\pi\) |
−0.979713 | + | 0.200406i | \(0.935774\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.59874 | − | 1.30983i | 0.341577 | − | 0.124324i | ||||
\(112\) | −2.08619 | − | 1.75052i | −0.197126 | − | 0.165409i | ||||
\(113\) | −3.14545 | −0.295899 | −0.147949 | − | 0.988995i | \(-0.547267\pi\) | ||||
−0.147949 | + | 0.988995i | \(0.547267\pi\) | |||||||
\(114\) | −1.04823 | + | 14.0206i | −0.0981755 | + | 1.31315i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.61211 | − | 1.35272i | −0.149680 | − | 0.125597i | ||||
\(117\) | 0.699822 | − | 0.254714i | 0.0646986 | − | 0.0235484i | ||||
\(118\) | −2.06967 | − | 11.7377i | −0.190529 | − | 1.08054i | ||||
\(119\) | 2.57814 | − | 14.6214i | 0.236338 | − | 1.34034i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.67125 | + | 4.62675i | 0.242841 | + | 0.420613i | ||||
\(122\) | 0.0874174 | − | 0.151411i | 0.00791440 | − | 0.0137081i | ||||
\(123\) | 8.69509 | − | 7.29604i | 0.784010 | − | 0.657862i | ||||
\(124\) | 8.06641 | − | 6.76853i | 0.724385 | − | 0.607832i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 10.0817 | + | 17.4620i | 0.898151 | + | 1.55564i | ||||
\(127\) | 10.1214 | + | 3.68389i | 0.898130 | + | 0.326893i | 0.749503 | − | 0.662001i | \(-0.230292\pi\) |
0.148627 | + | 0.988893i | \(0.452515\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | −3.96400 | − | 22.4810i | −0.349011 | − | 1.97934i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.31899 | − | 2.78497i | −0.289982 | − | 0.243324i | 0.486178 | − | 0.873860i | \(-0.338391\pi\) |
−0.776160 | + | 0.630536i | \(0.782835\pi\) | |||||||
\(132\) | −7.67206 | −0.667767 | ||||||||
\(133\) | −8.28707 | + | 8.49929i | −0.718580 | + | 0.736982i | ||||
\(134\) | 5.45114 | 0.470907 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.12299 | − | 1.86462i | 0.439293 | − | 0.159889i | ||||
\(137\) | 1.25804 | + | 7.13470i | 0.107482 | + | 0.609559i | 0.990200 | + | 0.139656i | \(0.0445998\pi\) |
−0.882718 | + | 0.469902i | \(0.844289\pi\) | |||||||
\(138\) | 0.758049 | − | 4.29911i | 0.0645294 | − | 0.365964i | ||||
\(139\) | −13.8285 | − | 5.03317i | −1.17292 | − | 0.426908i | −0.319224 | − | 0.947679i | \(-0.603422\pi\) |
−0.853696 | + | 0.520771i | \(0.825644\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −12.9145 | + | 22.3685i | −1.08760 | + | 1.88377i | ||||
\(142\) | 1.06300 | − | 0.891964i | 0.0892051 | − | 0.0748520i | ||||
\(143\) | −0.183275 | + | 0.153786i | −0.0153262 | + | 0.0128602i | ||||
\(144\) | −3.70199 | + | 6.41203i | −0.308499 | + | 0.534336i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 11.3670 | + | 4.13725i | 0.940740 | + | 0.342401i | ||||
\(147\) | −0.233282 | + | 1.32301i | −0.0192408 | + | 0.109120i | ||||
\(148\) | 0.206175 | + | 1.16927i | 0.0169474 | + | 0.0961137i | ||||
\(149\) | 8.16373 | − | 2.97136i | 0.668799 | − | 0.243423i | 0.0147684 | − | 0.999891i | \(-0.495299\pi\) |
0.654031 | + | 0.756468i | \(0.273077\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.23583 | 0.670222 | 0.335111 | − | 0.942179i | \(-0.391226\pi\) | ||||
0.335111 | + | 0.942179i | \(0.391226\pi\) | |||||||
\(152\) | −4.22430 | − | 1.07485i | −0.342636 | − | 0.0871819i | ||||
\(153\) | −40.3648 | −3.26330 | ||||||||
\(154\) | −4.96210 | − | 4.16370i | −0.399857 | − | 0.335520i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.0563387 | + | 0.319513i | 0.00451070 | + | 0.0255815i | ||||
\(157\) | −2.03713 | + | 11.5531i | −0.162581 | + | 0.922041i | 0.788943 | + | 0.614466i | \(0.210629\pi\) |
−0.951524 | + | 0.307575i | \(0.900483\pi\) | |||||||
\(158\) | −3.51498 | − | 1.27935i | −0.279637 | − | 0.101779i | ||||
\(159\) | 18.0224 | + | 31.2156i | 1.42927 | + | 2.47556i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.82345 | − | 2.36916i | 0.222519 | − | 0.186716i | ||||
\(162\) | 18.0840 | − | 15.1743i | 1.42081 | − | 1.19220i | ||||
\(163\) | −9.83039 | + | 17.0267i | −0.769975 | + | 1.33364i | 0.167600 | + | 0.985855i | \(0.446398\pi\) |
−0.937576 | + | 0.347781i | \(0.886935\pi\) | |||||||
\(164\) | 1.75950 | + | 3.04755i | 0.137394 | + | 0.237974i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.56320 | + | 8.86535i | −0.121328 | + | 0.688085i | ||||
\(167\) | 2.91465 | + | 16.5298i | 0.225543 | + | 1.27912i | 0.861645 | + | 0.507511i | \(0.169434\pi\) |
−0.636103 | + | 0.771604i | \(0.719455\pi\) | |||||||
\(168\) | −8.25439 | + | 3.00435i | −0.636840 | + | 0.231791i | ||||
\(169\) | −9.95083 | − | 8.34974i | −0.765448 | − | 0.642287i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 26.6685 | + | 18.1755i | 2.03939 | + | 1.38991i | ||||
\(172\) | 7.07724 | 0.539634 | ||||||||
\(173\) | 10.2431 | + | 8.59496i | 0.778766 | + | 0.653463i | 0.942938 | − | 0.332969i | \(-0.108051\pi\) |
−0.164171 | + | 0.986432i | \(0.552495\pi\) | |||||||
\(174\) | −6.37859 | + | 2.32162i | −0.483560 | + | 0.176001i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.413031 | − | 2.34241i | 0.0311334 | − | 0.176566i | ||||
\(177\) | −36.1257 | − | 13.1487i | −2.71538 | − | 0.988316i | ||||
\(178\) | −3.86521 | − | 6.69475i | −0.289710 | − | 0.501793i | ||||
\(179\) | −10.8243 | + | 18.7483i | −0.809047 | + | 1.40131i | 0.104477 | + | 0.994527i | \(0.466683\pi\) |
−0.913525 | + | 0.406784i | \(0.866650\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.96216 | + | 5.84194i | −0.517493 | + | 0.434228i | −0.863757 | − | 0.503909i | \(-0.831895\pi\) |
0.346264 | + | 0.938137i | \(0.387450\pi\) | |||||||
\(182\) | −0.136964 | + | 0.237228i | −0.0101524 | + | 0.0175845i | ||||
\(183\) | −0.281967 | − | 0.488380i | −0.0208436 | − | 0.0361021i | ||||
\(184\) | 1.27178 | + | 0.462891i | 0.0937571 | + | 0.0341248i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −5.89789 | − | 33.4486i | −0.432454 | − | 2.45257i | ||||
\(187\) | 12.1853 | − | 4.43508i | 0.891076 | − | 0.324325i | ||||
\(188\) | −6.13425 | − | 5.14725i | −0.447386 | − | 0.375401i | ||||
\(189\) | 38.6851 | 2.81393 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.95613 | 0.503328 | 0.251664 | − | 0.967815i | \(-0.419022\pi\) | ||||
0.251664 | + | 0.967815i | \(0.419022\pi\) | |||||||
\(192\) | −2.47089 | − | 2.07332i | −0.178321 | − | 0.149629i | ||||
\(193\) | 15.3524 | − | 5.58781i | 1.10509 | − | 0.402220i | 0.275899 | − | 0.961187i | \(-0.411024\pi\) |
0.829190 | + | 0.558967i | \(0.188802\pi\) | |||||||
\(194\) | 0.512833 | + | 2.90842i | 0.0368193 | + | 0.208812i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.391379 | − | 0.142450i | −0.0279557 | − | 0.0101750i | ||||
\(197\) | −1.43752 | − | 2.48986i | −0.102419 | − | 0.177395i | 0.810262 | − | 0.586068i | \(-0.199325\pi\) |
−0.912681 | + | 0.408673i | \(0.865992\pi\) | |||||||
\(198\) | −8.80536 | + | 15.2513i | −0.625770 | + | 1.08386i | ||||
\(199\) | −14.2742 | + | 11.9774i | −1.01187 | + | 0.849058i | −0.988584 | − | 0.150671i | \(-0.951857\pi\) |
−0.0232838 | + | 0.999729i | \(0.507412\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 8.79138 | − | 15.2271i | 0.620096 | − | 1.07404i | ||||
\(202\) | −4.28369 | − | 7.41957i | −0.301400 | − | 0.522039i | ||||
\(203\) | −5.38548 | − | 1.96016i | −0.377987 | − | 0.137576i | ||||
\(204\) | 3.05357 | − | 17.3176i | 0.213792 | − | 1.21248i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.67344 | − | 0.609081i | 0.116594 | − | 0.0424367i | ||||
\(207\) | −7.67620 | − | 6.44110i | −0.533533 | − | 0.447687i | ||||
\(208\) | −0.100586 | −0.00697437 | ||||||||
\(209\) | −10.0477 | − | 2.55658i | −0.695014 | − | 0.176843i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.41054 | − | 2.86178i | −0.234791 | − | 0.197013i | 0.517799 | − | 0.855502i | \(-0.326751\pi\) |
−0.752590 | + | 0.658489i | \(0.771196\pi\) | |||||||
\(212\) | −10.5009 | + | 3.82202i | −0.721207 | + | 0.262498i | ||||
\(213\) | −0.777231 | − | 4.40789i | −0.0532550 | − | 0.302024i | ||||
\(214\) | 1.47540 | − | 8.36739i | 0.100856 | − | 0.571983i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 7.10256 | + | 12.3020i | 0.483268 | + | 0.837044i | ||||
\(217\) | 14.3382 | − | 24.8346i | 0.973343 | − | 1.68588i | ||||
\(218\) | −5.87813 | + | 4.93233i | −0.398117 | + | 0.334060i | ||||
\(219\) | 29.8892 | − | 25.0800i | 2.01972 | − | 1.69475i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.274185 | − | 0.474903i | −0.0184437 | − | 0.0319454i | ||||
\(222\) | 3.59874 | + | 1.30983i | 0.241532 | + | 0.0879103i | ||||
\(223\) | 3.21314 | − | 18.2226i | 0.215168 | − | 1.22028i | −0.665448 | − | 0.746445i | \(-0.731759\pi\) |
0.880615 | − | 0.473832i | \(-0.157130\pi\) | |||||||
\(224\) | −0.472900 | − | 2.68195i | −0.0315970 | − | 0.179195i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.40955 | − | 2.02186i | −0.160281 | − | 0.134492i | ||||
\(227\) | −1.50594 | −0.0999530 | −0.0499765 | − | 0.998750i | \(-0.515915\pi\) | ||||
−0.0499765 | + | 0.998750i | \(0.515915\pi\) | |||||||
\(228\) | −9.81525 | + | 10.0666i | −0.650031 | + | 0.666677i | ||||
\(229\) | 9.61539 | 0.635403 | 0.317702 | − | 0.948191i | \(-0.397089\pi\) | ||||
0.317702 | + | 0.948191i | \(0.397089\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −19.6335 | + | 7.14600i | −1.29179 | + | 0.470172i | ||||
\(232\) | −0.365435 | − | 2.07248i | −0.0239920 | − | 0.136065i | ||||
\(233\) | −0.998532 | + | 5.66295i | −0.0654160 | + | 0.370993i | 0.934472 | + | 0.356036i | \(0.115872\pi\) |
−0.999888 | + | 0.0149563i | \(0.995239\pi\) | |||||||
\(234\) | 0.699822 | + | 0.254714i | 0.0457488 | + | 0.0166512i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 5.95938 | − | 10.3219i | 0.387923 | − | 0.671902i | ||||
\(237\) | −9.24252 | + | 7.75540i | −0.600366 | + | 0.503767i | ||||
\(238\) | 11.3734 | − | 9.54343i | 0.737229 | − | 0.618609i | ||||
\(239\) | 8.72159 | − | 15.1062i | 0.564153 | − | 0.977142i | −0.432975 | − | 0.901406i | \(-0.642536\pi\) |
0.997128 | − | 0.0757357i | \(-0.0241305\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.2857 | − | 5.19958i | −0.920225 | − | 0.334935i | −0.161897 | − | 0.986808i | \(-0.551761\pi\) |
−0.758328 | + | 0.651873i | \(0.773984\pi\) | |||||||
\(242\) | −0.927716 | + | 5.26134i | −0.0596359 | + | 0.338212i | ||||
\(243\) | −5.82231 | − | 33.0199i | −0.373501 | − | 2.11823i | ||||
\(244\) | 0.164291 | − | 0.0597970i | 0.0105177 | − | 0.00382811i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 11.3506 | 0.723690 | ||||||||
\(247\) | −0.0326883 | + | 0.437223i | −0.00207991 | + | 0.0278198i | ||||
\(248\) | 10.5300 | 0.668653 | ||||||||
\(249\) | 22.2433 | + | 18.6643i | 1.40961 | + | 1.18280i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.382644 | + | 2.17008i | 0.0241523 | + | 0.136974i | 0.994500 | − | 0.104741i | \(-0.0334012\pi\) |
−0.970347 | + | 0.241715i | \(0.922290\pi\) | |||||||
\(252\) | −3.50134 | + | 19.8571i | −0.220564 | + | 1.25088i | ||||
\(253\) | 3.02500 | + | 1.10101i | 0.190180 | + | 0.0692199i | ||||
\(254\) | 5.38549 | + | 9.32795i | 0.337916 | + | 0.585287i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 8.80414 | − | 7.38755i | 0.549187 | − | 0.460823i | −0.325479 | − | 0.945549i | \(-0.605525\pi\) |
0.874666 | + | 0.484727i | \(0.161081\pi\) | |||||||
\(258\) | 11.4139 | − | 19.7694i | 0.710597 | − | 1.23079i | ||||
\(259\) | 1.61672 | + | 2.80024i | 0.100458 | + | 0.173998i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.70567 | + | 15.3446i | −0.167477 | + | 0.949808i | ||||
\(262\) | −0.752355 | − | 4.26682i | −0.0464806 | − | 0.263605i | ||||
\(263\) | −16.7936 | + | 6.11237i | −1.03554 | + | 0.376905i | −0.803187 | − | 0.595727i | \(-0.796864\pi\) |
−0.232351 | + | 0.972632i | \(0.574642\pi\) | |||||||
\(264\) | −5.87714 | − | 4.93150i | −0.361713 | − | 0.303513i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −11.8115 | + | 1.18401i | −0.724210 | + | 0.0725962i | ||||
\(267\) | −24.9347 | −1.52598 | ||||||||
\(268\) | 4.17582 | + | 3.50393i | 0.255079 | + | 0.214036i | ||||
\(269\) | 0.485375 | − | 0.176662i | 0.0295938 | − | 0.0107713i | −0.327181 | − | 0.944962i | \(-0.606099\pi\) |
0.356775 | + | 0.934190i | \(0.383876\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.98871 | + | 22.6211i | −0.242297 | + | 1.37413i | 0.584390 | + | 0.811473i | \(0.301334\pi\) |
−0.826687 | + | 0.562662i | \(0.809777\pi\) | |||||||
\(272\) | 5.12299 | + | 1.86462i | 0.310627 | + | 0.113059i | ||||
\(273\) | 0.441780 | + | 0.765185i | 0.0267377 | + | 0.0463111i | ||||
\(274\) | −3.62238 | + | 6.27415i | −0.218836 | + | 0.379035i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.34411 | − | 2.80604i | 0.201292 | − | 0.168904i | ||||
\(277\) | 5.05445 | − | 8.75457i | 0.303693 | − | 0.526011i | −0.673277 | − | 0.739391i | \(-0.735114\pi\) |
0.976969 | + | 0.213379i | \(0.0684471\pi\) | |||||||
\(278\) | −7.35801 | − | 12.7444i | −0.441304 | − | 0.764361i | ||||
\(279\) | −73.2618 | − | 26.6651i | −4.38607 | − | 1.59640i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.01606 | − | 28.4475i | −0.299233 | − | 1.69703i | −0.649481 | − | 0.760378i | \(-0.725014\pi\) |
0.350248 | − | 0.936657i | \(-0.386097\pi\) | |||||||
\(282\) | −24.2713 | + | 8.83403i | −1.44533 | + | 0.526059i | ||||
\(283\) | 9.39720 | + | 7.88519i | 0.558605 | + | 0.468726i | 0.877843 | − | 0.478949i | \(-0.158982\pi\) |
−0.319237 | + | 0.947675i | \(0.603427\pi\) | |||||||
\(284\) | 1.38765 | 0.0823419 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.239248 | −0.0141470 | ||||||||
\(287\) | 7.34131 | + | 6.16009i | 0.433344 | + | 0.363619i | ||||
\(288\) | −6.95746 | + | 2.53231i | −0.409972 | + | 0.149218i | ||||
\(289\) | 2.20912 | + | 12.5285i | 0.129948 | + | 0.736972i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 8.95141 | + | 3.25805i | 0.524741 | + | 0.190990i | ||||
\(292\) | 6.04826 | + | 10.4759i | 0.353947 | + | 0.613055i | ||||
\(293\) | 0.915093 | − | 1.58499i | 0.0534603 | − | 0.0925960i | −0.838057 | − | 0.545583i | \(-0.816308\pi\) |
0.891517 | + | 0.452987i | \(0.149642\pi\) | |||||||
\(294\) | −1.02912 | + | 0.863533i | −0.0600194 | + | 0.0503623i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −0.593656 | + | 1.02824i | −0.0345056 | + | 0.0597654i | ||||
\(297\) | 16.8938 | + | 29.2609i | 0.980277 | + | 1.69789i | ||||
\(298\) | 8.16373 | + | 2.97136i | 0.472912 | + | 0.172126i | ||||
\(299\) | 0.0236393 | − | 0.134065i | 0.00136710 | − | 0.00775318i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 18.1113 | − | 6.59197i | 1.04392 | − | 0.379955i | ||||
\(302\) | 6.30901 | + | 5.29389i | 0.363043 | + | 0.304629i | ||||
\(303\) | −27.6343 | −1.58755 | ||||||||
\(304\) | −2.54510 | − | 3.53871i | −0.145971 | − | 0.202959i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −30.9212 | − | 25.9460i | −1.76765 | − | 1.48323i | ||||
\(307\) | 1.36877 | − | 0.498191i | 0.0781197 | − | 0.0284333i | −0.302665 | − | 0.953097i | \(-0.597876\pi\) |
0.380784 | + | 0.924664i | \(0.375654\pi\) | |||||||
\(308\) | −1.12482 | − | 6.37915i | −0.0640924 | − | 0.363486i | ||||
\(309\) | 0.997455 | − | 5.65685i | 0.0567432 | − | 0.321807i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −9.85085 | − | 17.0622i | −0.558591 | − | 0.967507i | −0.997614 | − | 0.0690320i | \(-0.978009\pi\) |
0.439024 | − | 0.898475i | \(-0.355324\pi\) | |||||||
\(312\) | −0.162221 | + | 0.280975i | −0.00918394 | + | 0.0159071i | ||||
\(313\) | −6.70515 | + | 5.62629i | −0.378997 | + | 0.318017i | −0.812309 | − | 0.583228i | \(-0.801790\pi\) |
0.433311 | + | 0.901244i | \(0.357345\pi\) | |||||||
\(314\) | −8.98675 | + | 7.54078i | −0.507152 | + | 0.425551i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.87028 | − | 3.23942i | −0.105212 | − | 0.182232i | ||||
\(317\) | −7.40399 | − | 2.69483i | −0.415850 | − | 0.151357i | 0.125618 | − | 0.992079i | \(-0.459909\pi\) |
−0.541467 | + | 0.840722i | \(0.682131\pi\) | |||||||
\(318\) | −6.25910 | + | 35.4971i | −0.350993 | + | 1.99058i | ||||
\(319\) | −0.869204 | − | 4.92950i | −0.0486661 | − | 0.275999i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −20.9939 | − | 17.6159i | −1.17176 | − | 0.983226i | ||||
\(322\) | 3.68576 | 0.205399 | ||||||||
\(323\) | 9.76991 | − | 21.6625i | 0.543613 | − | 1.20533i | ||||
\(324\) | 23.6069 | 1.31150 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −18.4751 | + | 6.72438i | −1.02324 | + | 0.372429i | ||||
\(327\) | 4.29789 | + | 24.3745i | 0.237674 | + | 1.34791i | ||||
\(328\) | −0.611069 | + | 3.46555i | −0.0337407 | + | 0.191353i | ||||
\(329\) | −20.4924 | − | 7.45862i | −1.12978 | − | 0.411207i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.9264 | − | 20.6572i | 0.655535 | − | 1.13542i | −0.326224 | − | 0.945292i | \(-0.605776\pi\) |
0.981759 | − | 0.190128i | \(-0.0608902\pi\) | |||||||
\(332\) | −6.89602 | + | 5.78645i | −0.378468 | + | 0.317573i | ||||
\(333\) | 6.73417 | − | 5.65064i | 0.369030 | − | 0.309653i | ||||
\(334\) | −8.39241 | + | 14.5361i | −0.459212 | + | 0.795379i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −8.25439 | − | 3.00435i | −0.450314 | − | 0.163901i | ||||
\(337\) | 3.80768 | − | 21.5944i | 0.207418 | − | 1.17632i | −0.686172 | − | 0.727439i | \(-0.740710\pi\) |
0.893590 | − | 0.448885i | \(-0.148179\pi\) | |||||||
\(338\) | −2.25567 | − | 12.7925i | −0.122692 | − | 0.695822i | ||||
\(339\) | −9.53385 | + | 3.47004i | −0.517808 | + | 0.188467i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 25.0460 | 1.35632 | ||||||||
\(342\) | 8.74633 | + | 31.0654i | 0.472947 | + | 1.67983i | ||||
\(343\) | 17.9290 | 0.968076 | ||||||||
\(344\) | 5.42148 | + | 4.54916i | 0.292307 | + | 0.245274i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.32192 | + | 13.1682i | 0.124827 | + | 0.707929i | ||||
\(347\) | 1.77470 | − | 10.0648i | 0.0952710 | − | 0.540308i | −0.899393 | − | 0.437141i | \(-0.855991\pi\) |
0.994664 | − | 0.103168i | \(-0.0328978\pi\) | |||||||
\(348\) | −6.37859 | − | 2.32162i | −0.341928 | − | 0.124452i | ||||
\(349\) | 14.5918 | + | 25.2738i | 0.781083 | + | 1.35288i | 0.931311 | + | 0.364224i | \(0.118666\pi\) |
−0.150229 | + | 0.988651i | \(0.548001\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.09455 | − | 0.918436i | 0.0584227 | − | 0.0490225i | ||||
\(352\) | 1.82207 | − | 1.52890i | 0.0971169 | − | 0.0814907i | ||||
\(353\) | 10.6172 | − | 18.3895i | 0.565095 | − | 0.978773i | −0.431946 | − | 0.901900i | \(-0.642173\pi\) |
0.997041 | − | 0.0768738i | \(-0.0244938\pi\) | |||||||
\(354\) | −19.2221 | − | 33.2936i | −1.02164 | − | 1.76954i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 1.34237 | − | 7.61299i | 0.0711457 | − | 0.403487i | ||||
\(357\) | −8.31585 | − | 47.1615i | −0.440122 | − | 2.49605i | ||||
\(358\) | −20.3431 | + | 7.40427i | −1.07516 | + | 0.391328i | ||||
\(359\) | 18.4389 | + | 15.4721i | 0.973170 | + | 0.816586i | 0.983045 | − | 0.183365i | \(-0.0586990\pi\) |
−0.00987517 | + | 0.999951i | \(0.503143\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.2091 | + | 9.91295i | −0.853108 | + | 0.521734i | ||||
\(362\) | −9.08845 | −0.477678 | ||||||||
\(363\) | 13.2008 | + | 11.0767i | 0.692860 | + | 0.581378i | ||||
\(364\) | −0.257408 | + | 0.0936888i | −0.0134918 | + | 0.00491063i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.0979260 | − | 0.555366i | 0.00511867 | − | 0.0290294i | ||||
\(367\) | 18.1506 | + | 6.60629i | 0.947456 | + | 0.344846i | 0.769106 | − | 0.639121i | \(-0.220702\pi\) |
0.178350 | + | 0.983967i | \(0.442924\pi\) | |||||||
\(368\) | 0.676702 | + | 1.17208i | 0.0352755 | + | 0.0610990i | ||||
\(369\) | 13.0273 | − | 22.5640i | 0.678176 | − | 1.17463i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −23.3128 | + | 19.5618i | −1.21034 | + | 1.01560i | ||||
\(372\) | 16.9823 | − | 29.4142i | 0.880491 | − | 1.52505i | ||||
\(373\) | 16.6405 | + | 28.8223i | 0.861615 | + | 1.49236i | 0.870370 | + | 0.492399i | \(0.163880\pi\) |
−0.00875464 | + | 0.999962i | \(0.502787\pi\) | |||||||
\(374\) | 12.1853 | + | 4.43508i | 0.630086 | + | 0.229332i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.39052 | − | 7.88604i | −0.0717106 | − | 0.406691i | ||||
\(377\) | −0.198912 | + | 0.0723982i | −0.0102445 | + | 0.00372870i | ||||
\(378\) | 29.6345 | + | 24.8663i | 1.52424 | + | 1.27899i | ||||
\(379\) | 17.9416 | 0.921600 | 0.460800 | − | 0.887504i | \(-0.347563\pi\) | ||||
0.460800 | + | 0.887504i | \(0.347563\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 34.7420 | 1.77989 | ||||||||
\(382\) | 5.32870 | + | 4.47131i | 0.272640 | + | 0.228772i | ||||
\(383\) | −24.5918 | + | 8.95070i | −1.25658 | + | 0.457359i | −0.882621 | − | 0.470084i | \(-0.844223\pi\) |
−0.373963 | + | 0.927444i | \(0.622001\pi\) | |||||||
\(384\) | −0.560106 | − | 3.17652i | −0.0285828 | − | 0.162101i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 15.3524 | + | 5.58781i | 0.781416 | + | 0.284412i | ||||
\(387\) | −26.1999 | − | 45.3795i | −1.33181 | − | 2.30677i | ||||
\(388\) | −1.47664 | + | 2.55762i | −0.0749653 | + | 0.129844i | ||||
\(389\) | 12.5930 | − | 10.5668i | 0.638492 | − | 0.535758i | −0.265063 | − | 0.964231i | \(-0.585393\pi\) |
0.903555 | + | 0.428473i | \(0.140948\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.68922 | + | 6.38992i | −0.186572 | + | 0.323152i | ||||
\(392\) | −0.208248 | − | 0.360697i | −0.0105181 | − | 0.0182179i | ||||
\(393\) | −13.1322 | − | 4.77974i | −0.662433 | − | 0.241106i | ||||
\(394\) | 0.499246 | − | 2.83137i | 0.0251517 | − | 0.142642i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −16.5487 | + | 6.02322i | −0.831602 | + | 0.302678i | ||||
\(397\) | 7.56400 | + | 6.34695i | 0.379626 | + | 0.318544i | 0.812556 | − | 0.582884i | \(-0.198076\pi\) |
−0.432929 | + | 0.901428i | \(0.642520\pi\) | |||||||
\(398\) | −18.6336 | −0.934017 | ||||||||
\(399\) | −15.7417 | + | 34.9036i | −0.788072 | + | 1.74736i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 22.0410 | + | 18.4946i | 1.10067 | + | 0.923574i | 0.997470 | − | 0.0710864i | \(-0.0226466\pi\) |
0.103202 | + | 0.994660i | \(0.467091\pi\) | |||||||
\(402\) | 16.5224 | − | 6.01366i | 0.824062 | − | 0.299934i | ||||
\(403\) | −0.183922 | − | 1.04307i | −0.00916181 | − | 0.0519592i | ||||
\(404\) | 1.48771 | − | 8.43723i | 0.0740164 | − | 0.419768i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.86556 | − | 4.96329i | −0.142215 | − | 0.246324i | ||||
\(407\) | −1.41204 | + | 2.44573i | −0.0699922 | + | 0.121230i | ||||
\(408\) | 13.4707 | − | 11.3033i | 0.666901 | − | 0.559596i | ||||
\(409\) | 19.6383 | − | 16.4785i | 0.971052 | − | 0.814810i | −0.0116633 | − | 0.999932i | \(-0.503713\pi\) |
0.982715 | + | 0.185122i | \(0.0592682\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 11.6841 | + | 20.2374i | 0.576333 | + | 0.998238i | ||||
\(412\) | 1.67344 | + | 0.609081i | 0.0824443 | + | 0.0300073i | ||||
\(413\) | 5.63639 | − | 31.9655i | 0.277348 | − | 1.57292i | ||||
\(414\) | −1.74005 | − | 9.86833i | −0.0855190 | − | 0.485002i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.0770532 | − | 0.0646553i | −0.00377784 | − | 0.00316999i | ||||
\(417\) | −47.4668 | −2.32446 | ||||||||
\(418\) | −6.05364 | − | 8.41699i | −0.296093 | − | 0.411689i | ||||
\(419\) | −33.3178 | −1.62768 | −0.813840 | − | 0.581090i | \(-0.802627\pi\) | ||||
−0.813840 | + | 0.581090i | \(0.802627\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.609988 | − | 0.222018i | 0.0297290 | − | 0.0108205i | −0.327113 | − | 0.944985i | \(-0.606076\pi\) |
0.356842 | + | 0.934165i | \(0.383854\pi\) | |||||||
\(422\) | −0.773107 | − | 4.38451i | −0.0376343 | − | 0.213435i | ||||
\(423\) | −10.2954 | + | 58.3880i | −0.500579 | + | 2.83892i | ||||
\(424\) | −10.5009 | − | 3.82202i | −0.509970 | − | 0.185614i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 2.23795 | − | 3.87624i | 0.108429 | − | 0.187804i | ||||
\(427\) | 0.364738 | − | 0.306052i | 0.0176509 | − | 0.0148109i | ||||
\(428\) | 6.50868 | − | 5.46143i | 0.314609 | − | 0.263988i | ||||
\(429\) | −0.385850 | + | 0.668312i | −0.0186290 | + | 0.0322664i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0.898248 | + | 0.326936i | 0.0432671 | + | 0.0157479i | 0.363563 | − | 0.931570i | \(-0.381560\pi\) |
−0.320296 | + | 0.947318i | \(0.603782\pi\) | |||||||
\(432\) | −2.46669 | + | 13.9893i | −0.118679 | + | 0.673061i | ||||
\(433\) | −0.438254 | − | 2.48546i | −0.0210611 | − | 0.119444i | 0.972465 | − | 0.233050i | \(-0.0748707\pi\) |
−0.993526 | + | 0.113607i | \(0.963760\pi\) | |||||||
\(434\) | 26.9471 | − | 9.80794i | 1.29350 | − | 0.470796i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.67335 | −0.367487 | ||||||||
\(437\) | 5.31468 | − | 2.56056i | 0.254236 | − | 0.122488i | ||||
\(438\) | 39.0175 | 1.86433 | ||||||||
\(439\) | −8.97963 | − | 7.53481i | −0.428575 | − | 0.359617i | 0.402839 | − | 0.915271i | \(-0.368023\pi\) |
−0.831414 | + | 0.555654i | \(0.812468\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.535485 | + | 3.03689i | 0.0254993 | + | 0.144614i | ||||
\(442\) | 0.0952236 | − | 0.540040i | 0.00452932 | − | 0.0256871i | ||||
\(443\) | −17.9136 | − | 6.52000i | −0.851099 | − | 0.309775i | −0.120610 | − | 0.992700i | \(-0.538485\pi\) |
−0.730488 | + | 0.682925i | \(0.760707\pi\) | |||||||
\(444\) | 1.91485 | + | 3.31662i | 0.0908747 | + | 0.157400i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 14.1747 | − | 11.8940i | 0.671190 | − | 0.563196i | ||||
\(447\) | 21.4663 | − | 18.0123i | 1.01532 | − | 0.851955i | ||||
\(448\) | 1.36166 | − | 2.35847i | 0.0643325 | − | 0.111427i | ||||
\(449\) | 13.4465 | + | 23.2900i | 0.634579 | + | 1.09912i | 0.986604 | + | 0.163133i | \(0.0521600\pi\) |
−0.352025 | + | 0.935991i | \(0.614507\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.45346 | + | 8.24297i | −0.0684407 | + | 0.388146i | ||||
\(452\) | −0.546202 | − | 3.09766i | −0.0256912 | − | 0.145702i | ||||
\(453\) | 24.9628 | − | 9.08571i | 1.17285 | − | 0.426884i | ||||
\(454\) | −1.15362 | − | 0.968002i | −0.0541421 | − | 0.0454306i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −13.9896 | + | 1.40235i | −0.655123 | + | 0.0656709i | ||||
\(457\) | 30.4123 | 1.42263 | 0.711313 | − | 0.702876i | \(-0.248101\pi\) | ||||
0.711313 | + | 0.702876i | \(0.248101\pi\) | |||||||
\(458\) | 7.36582 | + | 6.18066i | 0.344182 | + | 0.288803i | ||||
\(459\) | −72.7726 | + | 26.4871i | −3.39674 | + | 1.23631i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.02335 | + | 5.80373i | −0.0476623 | + | 0.270306i | −0.999321 | − | 0.0368519i | \(-0.988267\pi\) |
0.951658 | + | 0.307158i | \(0.0993781\pi\) | |||||||
\(462\) | −19.6335 | − | 7.14600i | −0.913432 | − | 0.332462i | ||||
\(463\) | 16.2882 | + | 28.2119i | 0.756975 | + | 1.31112i | 0.944387 | + | 0.328837i | \(0.106657\pi\) |
−0.187412 | + | 0.982281i | \(0.560010\pi\) | |||||||
\(464\) | 1.05223 | − | 1.82251i | 0.0488484 | − | 0.0846079i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.40500 | + | 3.69623i | −0.204058 | + | 0.171225i | ||||
\(467\) | −3.11229 | + | 5.39065i | −0.144020 | + | 0.249449i | −0.929007 | − | 0.370063i | \(-0.879336\pi\) |
0.784987 | + | 0.619512i | \(0.212670\pi\) | |||||||
\(468\) | 0.372368 | + | 0.644960i | 0.0172127 | + | 0.0298133i | ||||
\(469\) | 13.9499 | + | 5.07737i | 0.644149 | + | 0.234451i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 6.57081 | + | 37.2649i | 0.302767 | + | 1.71708i | ||||
\(472\) | 11.2000 | − | 4.07646i | 0.515520 | − | 0.187634i | ||||
\(473\) | 12.8953 | + | 10.8204i | 0.592924 | + | 0.497523i | ||||
\(474\) | −12.0653 | −0.554176 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 14.8469 | 0.680508 | ||||||||
\(477\) | 63.3813 | + | 53.1832i | 2.90203 | + | 2.43509i | ||||
\(478\) | 16.3912 | − | 5.96592i | 0.749718 | − | 0.272875i | ||||
\(479\) | −0.252128 | − | 1.42989i | −0.0115200 | − | 0.0653334i | 0.978506 | − | 0.206219i | \(-0.0661160\pi\) |
−0.990026 | + | 0.140886i | \(0.955005\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.112224 | + | 0.0408464i | 0.00511699 | + | 0.00186243i | ||||
\(482\) | −7.60128 | − | 13.1658i | −0.346229 | − | 0.599686i | ||||
\(483\) | 5.94424 | − | 10.2957i | 0.270472 | − | 0.468472i | ||||
\(484\) | −4.09260 | + | 3.43410i | −0.186027 | + | 0.156095i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 16.7647 | − | 29.0372i | 0.760461 | − | 1.31716i | ||||
\(487\) | 11.3216 | + | 19.6095i | 0.513029 | + | 0.888593i | 0.999886 | + | 0.0151111i | \(0.00481019\pi\) |
−0.486856 | + | 0.873482i | \(0.661856\pi\) | |||||||
\(488\) | 0.164291 | + | 0.0597970i | 0.00743710 | + | 0.00270688i | ||||
\(489\) | −11.0121 | + | 62.4528i | −0.497985 | + | 2.82421i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 5.70304 | − | 2.07574i | 0.257375 | − | 0.0936767i | −0.210110 | − | 0.977678i | \(-0.567382\pi\) |
0.467485 | + | 0.884001i | \(0.345160\pi\) | |||||||
\(492\) | 8.69509 | + | 7.29604i | 0.392005 | + | 0.328931i | ||||
\(493\) | 11.4730 | 0.516718 | ||||||||
\(494\) | −0.306082 | + | 0.313921i | −0.0137713 | + | 0.0141240i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.06641 | + | 6.76853i | 0.362193 | + | 0.303916i | ||||
\(497\) | 3.55112 | − | 1.29250i | 0.159289 | − | 0.0579766i | ||||
\(498\) | 5.04214 | + | 28.5954i | 0.225944 | + | 1.28139i | ||||
\(499\) | 0.998143 | − | 5.66075i | 0.0446830 | − | 0.253410i | −0.954281 | − | 0.298910i | \(-0.903377\pi\) |
0.998964 | + | 0.0454999i | \(0.0144881\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 27.0699 | + | 46.8864i | 1.20939 | + | 2.09473i | ||||
\(502\) | −1.10178 | + | 1.90834i | −0.0491748 | + | 0.0851733i | ||||
\(503\) | 8.87376 | − | 7.44597i | 0.395661 | − | 0.331999i | −0.423152 | − | 0.906059i | \(-0.639077\pi\) |
0.818814 | + | 0.574059i | \(0.194632\pi\) | |||||||
\(504\) | −15.4461 | + | 12.9608i | −0.688023 | + | 0.577320i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 1.60957 | + | 2.78785i | 0.0715540 | + | 0.123935i | ||||
\(507\) | −39.3723 | − | 14.3303i | −1.74859 | − | 0.636433i | ||||
\(508\) | −1.87036 | + | 10.6073i | −0.0829839 | + | 0.470625i | ||||
\(509\) | −5.74516 | − | 32.5824i | −0.254650 | − | 1.44419i | −0.796971 | − | 0.604018i | \(-0.793565\pi\) |
0.542321 | − | 0.840171i | \(-0.317546\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 25.2356 | + | 21.1752i | 1.11636 | + | 0.936735i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 60.0066 | + | 15.2684i | 2.64936 | + | 0.674115i | ||||
\(514\) | 11.4930 | 0.506934 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 21.4511 | − | 7.80756i | 0.944331 | − | 0.343709i | ||||
\(517\) | −3.30742 | − | 18.7573i | −0.145460 | − | 0.824946i | ||||
\(518\) | −0.561480 | + | 3.18431i | −0.0246700 | + | 0.139911i | ||||
\(519\) | 40.5286 | + | 14.7512i | 1.77901 | + | 0.647506i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4.23276 | − | 7.33136i | 0.185441 | − | 0.321193i | −0.758284 | − | 0.651924i | \(-0.773962\pi\) |
0.943725 | + | 0.330731i | \(0.107295\pi\) | |||||||
\(522\) | −11.9360 | + | 10.0155i | −0.522424 | + | 0.438366i | ||||
\(523\) | −3.35434 | + | 2.81463i | −0.146675 | + | 0.123075i | −0.713173 | − | 0.700988i | \(-0.752742\pi\) |
0.566498 | + | 0.824063i | \(0.308298\pi\) | |||||||
\(524\) | 2.16632 | − | 3.75218i | 0.0946361 | − | 0.163915i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −16.7936 | − | 6.11237i | −0.732236 | − | 0.266512i | ||||
\(527\) | −9.96860 | + | 56.5348i | −0.434239 | + | 2.46269i | ||||
\(528\) | −1.33224 | − | 7.55550i | −0.0579782 | − | 0.328811i | ||||
\(529\) | 19.8917 | − | 7.23998i | 0.864856 | − | 0.314782i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −88.2462 | −3.82956 | ||||||||
\(532\) | −9.80920 | − | 6.68528i | −0.425283 | − | 0.289844i | ||||
\(533\) | 0.353962 | 0.0153318 | ||||||||
\(534\) | −19.1011 | − | 16.0277i | −0.826583 | − | 0.693586i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0.946580 | + | 5.36832i | 0.0408861 | + | 0.231876i | ||||
\(537\) | −12.1255 | + | 68.7672i | −0.523255 | + | 2.96753i | ||||
\(538\) | 0.485375 | + | 0.176662i | 0.0209260 | + | 0.00761644i | ||||
\(539\) | −0.495329 | − | 0.857935i | −0.0213353 | − | 0.0369539i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.8358 | + | 9.93142i | −0.508861 | + | 0.426985i | −0.860728 | − | 0.509065i | \(-0.829991\pi\) |
0.351867 | + | 0.936050i | \(0.385547\pi\) | |||||||
\(542\) | −17.5961 | + | 14.7649i | −0.755817 | + | 0.634206i | ||||
\(543\) | −14.6575 | + | 25.3875i | −0.629013 | + | 1.08948i | ||||
\(544\) | 2.72588 | + | 4.72137i | 0.116871 | + | 0.202427i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.153429 | + | 0.870136i | −0.00656614 | + | 0.0372384i | ||||
\(547\) | 0.467667 | + | 2.65227i | 0.0199960 | + | 0.113403i | 0.993172 | − | 0.116659i | \(-0.0372183\pi\) |
−0.973176 | + | 0.230062i | \(0.926107\pi\) | |||||||
\(548\) | −6.80786 | + | 2.47786i | −0.290817 | + | 0.105849i | ||||
\(549\) | −0.991624 | − | 0.832071i | −0.0423215 | − | 0.0355119i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.58008 | − | 5.16606i | −0.322922 | − | 0.220082i | ||||
\(552\) | 4.36543 | 0.185805 | ||||||||
\(553\) | −7.80352 | − | 6.54793i | −0.331839 | − | 0.278446i | ||||
\(554\) | 9.49926 | − | 3.45745i | 0.403585 | − | 0.146893i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.55541 | − | 14.4924i | 0.108373 | − | 0.614616i | ||||
\(557\) | 18.0263 | + | 6.56103i | 0.763798 | + | 0.278000i | 0.694400 | − | 0.719589i | \(-0.255670\pi\) |
0.0693982 | + | 0.997589i | \(0.477892\pi\) | |||||||
\(558\) | −38.9818 | − | 67.5184i | −1.65023 | − | 2.85828i | ||||
\(559\) | 0.355935 | − | 0.616497i | 0.0150544 | − | 0.0260751i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 32.0408 | − | 26.8854i | 1.35276 | − | 1.13510i | ||||
\(562\) | 14.4432 | − | 25.0163i | 0.609248 | − | 1.05525i | ||||
\(563\) | 11.2236 | + | 19.4398i | 0.473016 | + | 0.819289i | 0.999523 | − | 0.0308825i | \(-0.00983177\pi\) |
−0.526507 | + | 0.850171i | \(0.676498\pi\) | |||||||
\(564\) | −24.2713 | − | 8.83403i | −1.02201 | − | 0.371980i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 2.13017 | + | 12.0808i | 0.0895378 | + | 0.507794i | ||||
\(567\) | 60.4123 | − | 21.9883i | 2.53708 | − | 0.923420i | ||||
\(568\) | 1.06300 | + | 0.891964i | 0.0446026 | + | 0.0374260i | ||||
\(569\) | −25.7630 | −1.08004 | −0.540020 | − | 0.841652i | \(-0.681583\pi\) | ||||
−0.540020 | + | 0.841652i | \(0.681583\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.1970 | 0.928914 | 0.464457 | − | 0.885596i | \(-0.346250\pi\) | ||||
0.464457 | + | 0.885596i | \(0.346250\pi\) | |||||||
\(572\) | −0.183275 | − | 0.153786i | −0.00766311 | − | 0.00643011i | ||||
\(573\) | 21.0840 | − | 7.67395i | 0.880797 | − | 0.320584i | ||||
\(574\) | 1.66414 | + | 9.43781i | 0.0694599 | + | 0.393926i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −6.95746 | − | 2.53231i | −0.289894 | − | 0.105513i | ||||
\(577\) | 11.5629 | + | 20.0275i | 0.481370 | + | 0.833758i | 0.999771 | − | 0.0213798i | \(-0.00680591\pi\) |
−0.518401 | + | 0.855138i | \(0.673473\pi\) | |||||||
\(578\) | −6.36090 | + | 11.0174i | −0.264578 | + | 0.458263i | ||||
\(579\) | 40.3686 | − | 33.8733i | 1.67766 | − | 1.40773i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.2578 | + | 21.2312i | −0.508541 | + | 0.880819i | ||||
\(582\) | 4.76295 | + | 8.24966i | 0.197430 | + | 0.341960i | ||||
\(583\) | −24.9770 | − | 9.09087i | −1.03444 | − | 0.376505i | ||||
\(584\) | −2.10054 | + | 11.9127i | −0.0869209 | + | 0.492953i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.71981 | − | 0.625960i | 0.0710448 | − | 0.0258582i | ||||
\(587\) | −26.9830 | − | 22.6414i | −1.11371 | − | 0.934512i | −0.115438 | − | 0.993315i | \(-0.536827\pi\) |
−0.998270 | + | 0.0588030i | \(0.981272\pi\) | |||||||
\(588\) | −1.34342 | −0.0554017 | ||||||||
\(589\) | 32.0426 | − | 32.8632i | 1.32029 | − | 1.35410i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −7.10392 | − | 5.96090i | −0.292216 | − | 0.245199i | ||||
\(592\) | −1.11571 | + | 0.406085i | −0.0458553 | + | 0.0166900i | ||||
\(593\) | 3.60643 | + | 20.4531i | 0.148098 | + | 0.839908i | 0.964827 | + | 0.262886i | \(0.0846743\pi\) |
−0.816728 | + | 0.577022i | \(0.804215\pi\) | |||||||
\(594\) | −5.86715 | + | 33.2743i | −0.240732 | + | 1.36526i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.34383 | + | 7.52374i | 0.177930 | + | 0.308184i | ||||
\(597\) | −30.0515 | + | 52.0507i | −1.22993 | + | 2.13029i | ||||
\(598\) | 0.104284 | − | 0.0875048i | 0.00426449 | − | 0.00357834i | ||||
\(599\) | −2.03068 | + | 1.70394i | −0.0829713 | + | 0.0696212i | −0.683330 | − | 0.730110i | \(-0.739469\pi\) |
0.600359 | + | 0.799731i | \(0.295024\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.70749 | − | 13.3498i | −0.314395 | − | 0.544548i | 0.664914 | − | 0.746920i | \(-0.268468\pi\) |
−0.979309 | + | 0.202372i | \(0.935135\pi\) | |||||||
\(602\) | 18.1113 | + | 6.59197i | 0.738160 | + | 0.268668i | ||||
\(603\) | 7.00846 | − | 39.7470i | 0.285407 | − | 1.61862i | ||||
\(604\) | 1.43014 | + | 8.11071i | 0.0581914 | + | 0.330020i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −21.1691 | − | 17.7630i | −0.859935 | − | 0.721571i | ||||
\(607\) | −30.5539 | −1.24015 | −0.620073 | − | 0.784544i | \(-0.712897\pi\) | ||||
−0.620073 | + | 0.784544i | \(0.712897\pi\) | |||||||
\(608\) | 0.324980 | − | 4.34677i | 0.0131797 | − | 0.176285i | ||||
\(609\) | −18.4858 | −0.749083 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.756885 | + | 0.275484i | −0.0306203 | + | 0.0111449i | ||||
\(612\) | −7.00927 | − | 39.7515i | −0.283333 | − | 1.60686i | ||||
\(613\) | −0.724114 | + | 4.10666i | −0.0292467 | + | 0.165866i | −0.995933 | − | 0.0900982i | \(-0.971282\pi\) |
0.966686 | + | 0.255964i | \(0.0823930\pi\) | |||||||
\(614\) | 1.36877 | + | 0.498191i | 0.0552390 | + | 0.0201053i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.23878 | − | 5.60973i | 0.130494 | − | 0.226023i | ||||
\(617\) | −12.5821 | + | 10.5577i | −0.506538 | + | 0.425036i | −0.859909 | − | 0.510447i | \(-0.829480\pi\) |
0.353371 | + | 0.935483i | \(0.385035\pi\) | |||||||
\(618\) | 4.40025 | − | 3.69225i | 0.177004 | − | 0.148524i | ||||
\(619\) | −3.76167 | + | 6.51540i | −0.151194 | + | 0.261876i | −0.931667 | − | 0.363314i | \(-0.881645\pi\) |
0.780473 | + | 0.625190i | \(0.214979\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −18.0658 | − | 6.57542i | −0.724957 | − | 0.263863i | ||||
\(622\) | 3.42117 | − | 19.4024i | 0.137176 | − | 0.777965i | ||||
\(623\) | −3.65572 | − | 20.7326i | −0.146463 | − | 0.830635i | ||||
\(624\) | −0.304875 | + | 0.110966i | −0.0122048 | + | 0.00444218i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −8.75295 | −0.349838 | ||||||||
\(627\) | −33.2750 | + | 3.33555i | −1.32887 | + | 0.133209i | ||||
\(628\) | −11.7314 | −0.468133 | ||||||||
\(629\) | −4.95857 | − | 4.16073i | −0.197711 | − | 0.165899i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.83962 | − | 33.1181i | −0.232472 | − | 1.31841i | −0.847873 | − | 0.530199i | \(-0.822117\pi\) |
0.615402 | − | 0.788214i | \(-0.288994\pi\) | |||||||
\(632\) | 0.649542 | − | 3.68373i | 0.0258374 | − | 0.146531i | ||||
\(633\) | −13.4944 | − | 4.91158i | −0.536356 | − | 0.195218i | ||||
\(634\) | −3.93958 | − | 6.82356i | −0.156461 | − | 0.270998i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −27.6118 | + | 23.1691i | −1.09488 | + | 0.918714i | ||||
\(637\) | −0.0320924 | + | 0.0269287i | −0.00127155 | + | 0.00106696i | ||||
\(638\) | 2.50277 | − | 4.33493i | 0.0990857 | − | 0.171622i | ||||
\(639\) | −5.13706 | − | 8.89766i | −0.203219 | − | 0.351986i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.0427768 | + | 0.242599i | −0.00168958 | + | 0.00958210i | −0.985641 | − | 0.168855i | \(-0.945993\pi\) |
0.983951 | + | 0.178437i | \(0.0571041\pi\) | |||||||
\(642\) | −4.75892 | − | 26.9892i | −0.187820 | − | 1.06518i | ||||
\(643\) | 14.0111 | − | 5.09961i | 0.552542 | − | 0.201109i | −0.0506335 | − | 0.998717i | \(-0.516124\pi\) |
0.603176 | + | 0.797608i | \(0.293902\pi\) | |||||||
\(644\) | 2.82345 | + | 2.36916i | 0.111260 | + | 0.0933580i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 21.4086 | − | 10.3144i | 0.842308 | − | 0.405816i | ||||
\(647\) | −28.3920 | −1.11620 | −0.558101 | − | 0.829773i | \(-0.688470\pi\) | ||||
−0.558101 | + | 0.829773i | \(0.688470\pi\) | |||||||
\(648\) | 18.0840 | + | 15.1743i | 0.710405 | + | 0.596101i | ||||
\(649\) | 26.6397 | − | 9.69605i | 1.04570 | − | 0.380603i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 16.0619 | − | 91.0913i | 0.629514 | − | 3.57015i | ||||
\(652\) | −18.4751 | − | 6.72438i | −0.723540 | − | 0.263347i | ||||
\(653\) | 14.1587 | + | 24.5237i | 0.554074 | + | 0.959685i | 0.997975 | + | 0.0636088i | \(0.0202610\pi\) |
−0.443901 | + | 0.896076i | \(0.646406\pi\) | |||||||
\(654\) | −12.3753 | + | 21.4346i | −0.483911 | + | 0.838159i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −2.69572 | + | 2.26197i | −0.105250 | + | 0.0883153i | ||||
\(657\) | 44.7812 | − | 77.5632i | 1.74708 | − | 3.02603i | ||||
\(658\) | −10.9038 | − | 18.8859i | −0.425073 | − | 0.736249i | ||||
\(659\) | 36.0245 | + | 13.1118i | 1.40331 | + | 0.510765i | 0.929160 | − | 0.369677i | \(-0.120532\pi\) |
0.474154 | + | 0.880442i | \(0.342754\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.12371 | − | 23.3867i | −0.160394 | − | 0.909637i | −0.953688 | − | 0.300799i | \(-0.902747\pi\) |
0.793294 | − | 0.608839i | \(-0.208364\pi\) | |||||||
\(662\) | 22.4143 | − | 8.15815i | 0.871158 | − | 0.317075i | ||||
\(663\) | −1.35496 | − | 1.13695i | −0.0526225 | − | 0.0441555i | ||||
\(664\) | −9.00212 | −0.349350 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 8.79083 | 0.340638 | ||||||||
\(667\) | 2.18183 | + | 1.83077i | 0.0844807 | + | 0.0708878i | ||||
\(668\) | −15.7726 | + | 5.74075i | −0.610259 | + | 0.222116i | ||||
\(669\) | −10.3640 | − | 58.7774i | −0.400697 | − | 2.27247i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.390774 | + | 0.142230i | 0.0150857 | + | 0.00549074i | ||||
\(672\) | −4.39207 | − | 7.60729i | −0.169428 | − | 0.293457i | ||||
\(673\) | 15.5006 | − | 26.8478i | 0.597504 | − | 1.03491i | −0.395684 | − | 0.918387i | \(-0.629492\pi\) |
0.993188 | − | 0.116521i | \(-0.0371742\pi\) | |||||||
\(674\) | 16.7975 | − | 14.0948i | 0.647015 | − | 0.542910i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.49494 | − | 11.2496i | 0.249805 | − | 0.432676i | ||||
\(677\) | −0.919318 | − | 1.59230i | −0.0353322 | − | 0.0611972i | 0.847819 | − | 0.530286i | \(-0.177916\pi\) |
−0.883151 | + | 0.469089i | \(0.844582\pi\) | |||||||
\(678\) | −9.53385 | − | 3.47004i | −0.366145 | − | 0.133266i | ||||
\(679\) | −1.39661 | + | 7.92058i | −0.0535970 | + | 0.303964i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −4.56451 | + | 1.66135i | −0.174912 | + | 0.0636629i | ||||
\(682\) | 19.1864 | + | 16.0993i | 0.734684 | + | 0.616473i | ||||
\(683\) | −19.0534 | −0.729059 | −0.364530 | − | 0.931192i | \(-0.618770\pi\) | ||||
−0.364530 | + | 0.931192i | \(0.618770\pi\) | |||||||
\(684\) | −13.2684 | + | 29.4195i | −0.507330 | + | 1.12488i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 13.7344 | + | 11.5245i | 0.524383 | + | 0.440009i | ||||
\(687\) | 29.1442 | − | 10.6076i | 1.11192 | − | 0.404706i | ||||
\(688\) | 1.22895 | + | 6.96972i | 0.0468533 | + | 0.265718i | ||||
\(689\) | −0.195186 | + | 1.10696i | −0.00743600 | + | 0.0421716i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.6346 | + | 21.8838i | 0.480643 | + | 0.832499i | 0.999753 | − | 0.0222086i | \(-0.00706979\pi\) |
−0.519110 | + | 0.854708i | \(0.673736\pi\) | |||||||
\(692\) | −6.68569 | + | 11.5800i | −0.254152 | + | 0.440204i | ||||
\(693\) | −36.7393 | + | 30.8279i | −1.39561 | + | 1.17106i | ||||
\(694\) | 7.82905 | − | 6.56935i | 0.297187 | − | 0.249369i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −3.39398 | − | 5.87854i | −0.128648 | − | 0.222826i | ||||
\(697\) | −18.0278 | − | 6.56160i | −0.682853 | − | 0.248538i | ||||
\(698\) | −5.06769 | + | 28.7403i | −0.191815 | + | 1.08784i | ||||
\(699\) | 3.22078 | + | 18.2660i | 0.121821 | + | 0.690883i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −12.7045 | − | 10.6603i | −0.479841 | − | 0.402635i | 0.370528 | − | 0.928821i | \(-0.379177\pi\) |
−0.850369 | + | 0.526187i | \(0.823621\pi\) | |||||||
\(702\) | 1.42883 | 0.0539278 | ||||||||
\(703\) | 1.40257 | + | 4.98169i | 0.0528991 | + | 0.187888i | ||||
\(704\) | 2.37855 | 0.0896449 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 19.9538 | − | 7.26257i | 0.750970 | − | 0.273331i | ||||
\(707\) | −4.05152 | − | 22.9773i | −0.152373 | − | 0.864151i | ||||
\(708\) | 6.67576 | − | 37.8601i | 0.250891 | − | 1.42287i | ||||
\(709\) | −27.5288 | − | 10.0197i | −1.03386 | − | 0.376296i | −0.231314 | − | 0.972879i | \(-0.574302\pi\) |
−0.802551 | + | 0.596583i | \(0.796525\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −13.8475 | + | 23.9846i | −0.519323 | + | 0.899493i | ||||
\(712\) | 5.92185 | − | 4.96902i | 0.221931 | − | 0.186222i | ||||
\(713\) | −10.9171 | + | 9.16055i | −0.408849 | + | 0.343065i | ||||
\(714\) | 23.9445 | − | 41.4732i | 0.896102 | − | 1.55209i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −20.3431 | − | 7.40427i | −0.760256 | − | 0.276710i | ||||
\(717\) | 9.77003 | − | 55.4086i | 0.364868 | − | 2.06927i | ||||
\(718\) | 4.17977 | + | 23.7046i | 0.155988 | + | 0.884649i | ||||
\(719\) | 5.87107 | − | 2.13690i | 0.218954 | − | 0.0796928i | −0.230214 | − | 0.973140i | \(-0.573943\pi\) |
0.449168 | + | 0.893447i | \(0.351720\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.84979 | 0.180616 | ||||||||
\(722\) | −18.7888 | − | 2.82522i | −0.699246 | − | 0.105144i | ||||
\(723\) | −49.0362 | −1.82368 | ||||||||
\(724\) | −6.96216 | − | 5.84194i | −0.258747 | − | 0.217114i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 2.99237 | + | 16.9706i | 0.111057 | + | 0.629836i | ||||
\(727\) | −5.05158 | + | 28.6489i | −0.187353 | + | 1.06253i | 0.735543 | + | 0.677479i | \(0.236927\pi\) |
−0.922895 | + | 0.385051i | \(0.874184\pi\) | |||||||
\(728\) | −0.257408 | − | 0.0936888i | −0.00954017 | − | 0.00347234i | ||||
\(729\) | −18.6643 | − | 32.3276i | −0.691271 | − | 1.19732i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −29.5567 | + | 24.8010i | −1.09319 | + | 0.917297i | ||||
\(732\) | 0.431998 | − | 0.362489i | 0.0159671 | − | 0.0133980i | ||||
\(733\) | 23.6849 | − | 41.0234i | 0.874821 | − | 1.51523i | 0.0178674 | − | 0.999840i | \(-0.494312\pi\) |
0.856953 | − | 0.515394i | \(-0.172354\pi\) | |||||||
\(734\) | 9.65775 | + | 16.7277i | 0.356474 | + | 0.617431i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.235016 | + | 1.33284i | −0.00866281 | + | 0.0491292i | ||||
\(737\) | 2.25149 | + | 12.7688i | 0.0829346 | + | 0.470346i | ||||
\(738\) | 24.4834 | − | 8.91122i | 0.901245 | − | 0.328026i | ||||
\(739\) | −6.34777 | − | 5.32642i | −0.233507 | − | 0.195935i | 0.518525 | − | 0.855063i | \(-0.326481\pi\) |
−0.752031 | + | 0.659127i | \(0.770926\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.383263 | + | 1.36128i | 0.0140795 | + | 0.0500080i | ||||
\(742\) | −30.4328 | −1.11722 | ||||||||
\(743\) | 4.45699 | + | 3.73986i | 0.163511 | + | 0.137202i | 0.720872 | − | 0.693068i | \(-0.243742\pi\) |
−0.557361 | + | 0.830270i | \(0.688186\pi\) | |||||||
\(744\) | 31.9163 | − | 11.6166i | 1.17011 | − | 0.425884i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −5.77920 | + | 32.7755i | −0.211592 | + | 1.20000i | ||||
\(747\) | 62.6319 | + | 22.7961i | 2.29158 | + | 0.834067i | ||||
\(748\) | 6.48365 | + | 11.2300i | 0.237066 | + | 0.410610i | ||||
\(749\) | 11.5693 | − | 20.0387i | 0.422734 | − | 0.732197i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.5050 | − | 12.1712i | 0.529296 | − | 0.444132i | −0.338562 | − | 0.940944i | \(-0.609941\pi\) |
0.867858 | + | 0.496812i | \(0.165496\pi\) | |||||||
\(752\) | 4.00385 | − | 6.93486i | 0.146005 | − | 0.252888i | ||||
\(753\) | 3.55381 | + | 6.15538i | 0.129508 | + | 0.224315i | ||||
\(754\) | −0.198912 | − | 0.0723982i | −0.00724396 | − | 0.00263659i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 6.71760 | + | 38.0974i | 0.244317 | + | 1.38559i | ||||
\(757\) | −14.1638 | + | 5.15520i | −0.514792 | + | 0.187369i | −0.586335 | − | 0.810069i | \(-0.699430\pi\) |
0.0715433 | + | 0.997437i | \(0.477208\pi\) | |||||||
\(758\) | 13.7441 | + | 11.5327i | 0.499208 | + | 0.418885i | ||||
\(759\) | 10.3834 | 0.376893 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −6.63681 | −0.240584 | −0.120292 | − | 0.992739i | \(-0.538383\pi\) | ||||
−0.120292 | + | 0.992739i | \(0.538383\pi\) | |||||||
\(762\) | 26.6139 | + | 22.3317i | 0.964121 | + | 0.808994i | ||||
\(763\) | −19.6368 | + | 7.14720i | −0.710899 | + | 0.258746i | ||||
\(764\) | 1.20792 | + | 6.85045i | 0.0437010 | + | 0.247841i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −24.5918 | − | 8.95070i | −0.888539 | − | 0.323402i | ||||
\(767\) | −0.599429 | − | 1.03824i | −0.0216441 | − | 0.0374887i | ||||
\(768\) | 1.61276 | − | 2.79338i | 0.0581955 | − | 0.100797i | ||||
\(769\) | −24.9327 | + | 20.9210i | −0.899095 | + | 0.754430i | −0.970013 | − | 0.243052i | \(-0.921851\pi\) |
0.0709184 | + | 0.997482i | \(0.477407\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 18.5354 | − | 32.1043i | 0.667537 | − | 1.15621i | ||||
\(772\) | 8.16884 | + | 14.1488i | 0.294003 | + | 0.509228i | ||||
\(773\) | −0.612613 | − | 0.222973i | −0.0220342 | − | 0.00801978i | 0.330980 | − | 0.943638i | \(-0.392621\pi\) |
−0.353014 | + | 0.935618i | \(0.614843\pi\) | |||||||
\(774\) | 9.09911 | − | 51.6036i | 0.327061 | − | 1.85485i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −2.77518 | + | 1.01008i | −0.0996233 | + | 0.0362599i | ||||
\(777\) | 7.98947 | + | 6.70396i | 0.286621 | + | 0.240503i | ||||
\(778\) | 16.4390 | 0.589368 | ||||||||
\(779\) | 8.95623 | + | 12.4527i | 0.320890 | + | 0.446166i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.52840 | + | 2.12158i | 0.0904733 | + | 0.0759161i | ||||
\(782\) | −6.93347 | + | 2.52358i | −0.247940 | + | 0.0902429i | ||||
\(783\) | 5.19104 | + | 29.4398i | 0.185513 | + | 1.05209i | ||||
\(784\) | 0.0723239 | − | 0.410169i | 0.00258300 | − | 0.0146489i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −6.98751 | − | 12.1027i | −0.249236 | − | 0.431690i | ||||
\(787\) | −6.32936 | + | 10.9628i | −0.225617 | + | 0.390781i | −0.956504 | − | 0.291718i | \(-0.905773\pi\) |
0.730887 | + | 0.682498i | \(0.239107\pi\) | |||||||
\(788\) | 2.20241 | − | 1.84804i | 0.0784577 | − | 0.0658338i | ||||
\(789\) | −44.1583 | + | 37.0532i | −1.57208 | + | 1.31913i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4.28304 | − | 7.41844i | −0.152287 | − | 0.263769i | ||||
\(792\) | −16.5487 | − | 6.02322i | −0.588031 | − | 0.214026i | ||||
\(793\) | 0.00305376 | − | 0.0173187i | 0.000108442 | − | 0.000615006i | ||||
\(794\) | 1.71462 | + | 9.72409i | 0.0608496 | + | 0.345095i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −14.2742 | − | 11.9774i | −0.505934 | − | 0.424529i | ||||
\(797\) | 47.2820 | 1.67482 | 0.837408 | − | 0.546578i | \(-0.184070\pi\) | ||||
0.837408 | + | 0.546578i | \(0.184070\pi\) | |||||||
\(798\) | −34.4944 | + | 16.6191i | −1.22109 | + | 0.588309i | ||||
\(799\) | 43.6561 | 1.54444 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −53.7842 | + | 19.5758i | −1.90037 | + | 0.691678i | ||||
\(802\) | 4.99628 | + | 28.3353i | 0.176425 | + | 1.00055i | ||||
\(803\) | −4.99623 | + | 28.3350i | −0.176313 | + | 0.999922i | ||||
\(804\) | 16.5224 | + | 6.01366i | 0.582700 | + | 0.212085i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0.529582 | − | 0.917263i | 0.0186537 | − | 0.0323092i | ||||
\(807\) | 1.27628 | − | 1.07092i | 0.0449271 | − | 0.0376983i | ||||
\(808\) | 6.56300 | − | 5.50701i | 0.230885 | − | 0.193736i | ||||
\(809\) | −24.1710 | + | 41.8655i | −0.849809 | + | 1.47191i | 0.0315702 | + | 0.999502i | \(0.489949\pi\) |
−0.881379 | + | 0.472410i | \(0.843384\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 34.8288 | + | 12.6766i | 1.22300 | + | 0.445137i | 0.871196 | − | 0.490935i | \(-0.163345\pi\) |
0.351808 | + | 0.936072i | \(0.385567\pi\) | |||||||
\(812\) | 0.995197 | − | 5.64404i | 0.0349246 | − | 0.198067i | ||||
\(813\) | 12.8657 | + | 72.9649i | 0.451219 | + | 2.55899i | ||||
\(814\) | −2.65377 | + | 0.965892i | −0.0930145 | + | 0.0338545i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 17.5848 | 0.615591 | ||||||||
\(817\) | 30.6951 | − | 3.07694i | 1.07389 | − | 0.107649i | ||||
\(818\) | 25.6360 | 0.896342 | ||||||||
\(819\) | 1.55366 | + | 1.30367i | 0.0542892 | + | 0.0455540i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −4.86215 | − | 27.5746i | −0.169690 | − | 0.962362i | −0.944096 | − | 0.329672i | \(-0.893062\pi\) |
0.774405 | − | 0.632690i | \(-0.218049\pi\) | |||||||
\(822\) | −4.05784 | + | 23.0131i | −0.141533 | + | 0.802675i | ||||
\(823\) | −7.12142 | − | 2.59198i | −0.248237 | − | 0.0903509i | 0.214905 | − | 0.976635i | \(-0.431056\pi\) |
−0.463142 | + | 0.886284i | \(0.653278\pi\) | |||||||
\(824\) | 0.890417 | + | 1.54225i | 0.0310191 | + | 0.0537267i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 24.8648 | − | 20.8640i | 0.865156 | − | 0.725952i | ||||
\(827\) | 26.6363 | − | 22.3505i | 0.926236 | − | 0.777204i | −0.0489016 | − | 0.998804i | \(-0.515572\pi\) |
0.975138 | + | 0.221599i | \(0.0711276\pi\) | |||||||
\(828\) | 5.01028 | − | 8.67807i | 0.174119 | − | 0.301584i | ||||
\(829\) | 9.63690 | + | 16.6916i | 0.334703 | + | 0.579723i | 0.983428 | − | 0.181300i | \(-0.0580306\pi\) |
−0.648724 | + | 0.761023i | \(0.724697\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 5.66206 | − | 32.1111i | 0.196415 | − | 1.11392i | ||||
\(832\) | −0.0174665 | − | 0.0990577i | −0.000605544 | − | 0.00343421i | ||||
\(833\) | 2.13371 | − | 0.776606i | 0.0739286 | − | 0.0269078i | ||||
\(834\) | −36.3617 | − | 30.5111i | −1.25910 | − | 1.05651i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0.772980 | − | 10.3390i | 0.0267341 | − | 0.357582i | ||||
\(837\) | −149.579 | −5.17021 | ||||||||
\(838\) | −25.5229 | − | 21.4162i | −0.881674 | − | 0.739812i | ||||
\(839\) | −28.6196 | + | 10.4167i | −0.988059 | + | 0.359624i | −0.784969 | − | 0.619536i | \(-0.787321\pi\) |
−0.203091 | + | 0.979160i | \(0.565099\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.26676 | + | 24.1980i | −0.147130 | + | 0.834413i | ||||
\(842\) | 0.609988 | + | 0.222018i | 0.0210216 | + | 0.00765123i | ||||
\(843\) | −46.5867 | − | 80.6906i | −1.60453 | − | 2.77913i | ||||
\(844\) | 2.22607 | − | 3.85567i | 0.0766246 | − | 0.132718i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −45.4178 | + | 38.1101i | −1.56150 | + | 1.31025i | ||||
\(847\) | −7.27469 | + | 12.6001i | −0.249961 | + | 0.432946i | ||||
\(848\) | −5.58743 | − | 9.67771i | −0.191873 | − | 0.332334i | ||||
\(849\) | 37.1818 | + | 13.5331i | 1.27607 | + | 0.464453i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.279037 | − | 1.58250i | −0.00956528 | − | 0.0542474i | ||||
\(852\) | 4.20596 | − | 1.53085i | 0.144094 | − | 0.0524459i | ||||
\(853\) | −42.4989 | − | 35.6608i | −1.45513 | − | 1.22100i | −0.928723 | − | 0.370773i | \(-0.879093\pi\) |
−0.526411 | − | 0.850230i | \(-0.676463\pi\) | |||||||
\(854\) | 0.476132 | 0.0162929 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 8.49647 | 0.290403 | ||||||||
\(857\) | −40.4823 | − | 33.9686i | −1.38285 | − | 1.16035i | −0.968145 | − | 0.250390i | \(-0.919441\pi\) |
−0.414702 | − | 0.909957i | \(-0.636114\pi\) | |||||||
\(858\) | −0.725161 | + | 0.263937i | −0.0247566 | + | 0.00901066i | ||||
\(859\) | −0.271832 | − | 1.54164i | −0.00927480 | − | 0.0526000i | 0.979819 | − | 0.199886i | \(-0.0640573\pi\) |
−0.989094 | + | 0.147286i | \(0.952946\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 29.0473 | + | 10.5723i | 0.989928 | + | 0.360304i | ||||
\(862\) | 0.477948 | + | 0.827830i | 0.0162790 | + | 0.0281960i | ||||
\(863\) | 27.3298 | − | 47.3366i | 0.930318 | − | 1.61136i | 0.147540 | − | 0.989056i | \(-0.452865\pi\) |
0.782778 | − | 0.622301i | \(-0.213802\pi\) | |||||||
\(864\) | −10.8817 | + | 9.13087i | −0.370205 | + | 0.310639i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 1.26190 | − | 2.18568i | 0.0428812 | − | 0.0742724i | ||||
\(867\) | 20.5172 | + | 35.5368i | 0.696800 | + | 1.20689i | ||||
\(868\) | 26.9471 | + | 9.80794i | 0.914644 | + | 0.332903i | ||||
\(869\) | 1.54497 | − | 8.76194i | 0.0524094 | − | 0.297229i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.515240 | − | 0.187532i | 0.0174583 | − | 0.00635429i | ||||
\(872\) | −5.87813 | − | 4.93233i | −0.199059 | − | 0.167030i | ||||
\(873\) | 21.8661 | 0.740055 | ||||||||
\(874\) | 5.71718 | + | 1.45471i | 0.193387 | + | 0.0492062i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 29.8892 | + | 25.0800i | 1.00986 | + | 0.847375i | ||||
\(877\) | 30.1850 | − | 10.9865i | 1.01928 | − | 0.370986i | 0.222288 | − | 0.974981i | \(-0.428647\pi\) |
0.796988 | + | 0.603995i | \(0.206425\pi\) | |||||||
\(878\) | −2.03552 | − | 11.5440i | −0.0686954 | − | 0.389591i | ||||
\(879\) | 1.02510 | − | 5.81362i | 0.0345757 | − | 0.196088i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −12.5921 | − | 21.8102i | −0.424239 | − | 0.734804i | 0.572110 | − | 0.820177i | \(-0.306125\pi\) |
−0.996349 | + | 0.0853728i | \(0.972792\pi\) | |||||||
\(882\) | −1.54187 | + | 2.67059i | −0.0519174 | + | 0.0899235i | ||||
\(883\) | −19.4168 | + | 16.2926i | −0.653426 | + | 0.548290i | −0.908108 | − | 0.418735i | \(-0.862474\pi\) |
0.254682 | + | 0.967025i | \(0.418029\pi\) | |||||||
\(884\) | 0.420076 | − | 0.352486i | 0.0141287 | − | 0.0118554i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −9.53160 | − | 16.5092i | −0.320220 | − | 0.554638i | ||||
\(887\) | −37.9087 | − | 13.7977i | −1.27285 | − | 0.463280i | −0.384790 | − | 0.923004i | \(-0.625726\pi\) |
−0.888062 | + | 0.459724i | \(0.847948\pi\) | |||||||
\(888\) | −0.665020 | + | 3.77152i | −0.0223166 | + | 0.126564i | ||||
\(889\) | 5.09360 | + | 28.8873i | 0.170834 | + | 0.968847i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 43.0136 | + | 36.0927i | 1.44101 | + | 1.20915i | ||||
\(892\) | 18.5037 | 0.619551 | ||||||||
\(893\) | −28.8431 | − | 19.6575i | −0.965197 | − | 0.657812i | ||||
\(894\) | 28.0222 | 0.937204 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2.55909 | − | 0.931432i | 0.0854931 | − | 0.0311170i | ||||
\(897\) | −0.0762490 | − | 0.432429i | −0.00254588 | − | 0.0144384i | ||||
\(898\) | −4.66992 | + | 26.4844i | −0.155837 | + | 0.883797i | ||||
\(899\) | 20.8234 | + | 7.57910i | 0.694499 | + | 0.252777i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 30.4614 | − | 52.7606i | 1.01482 | − | 1.75771i | ||||
\(902\) | −6.41189 | + | 5.38022i | −0.213493 | + | 0.179142i | ||||
\(903\) | 47.6230 | − | 39.9605i | 1.58479 | − | 1.32980i | ||||
\(904\) | 1.57272 | − | 2.72404i | 0.0523080 | − | 0.0906002i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 24.9628 | + | 9.08571i | 0.829332 | + | 0.301852i | ||||
\(907\) | 3.16525 | − | 17.9510i | 0.105100 | − | 0.596053i | −0.886080 | − | 0.463532i | \(-0.846582\pi\) |
0.991180 | − | 0.132521i | \(-0.0423071\pi\) | |||||||
\(908\) | −0.261504 | − | 1.48307i | −0.00867833 | − | 0.0492172i | ||||
\(909\) | −59.6073 | + | 21.6953i | −1.97705 | + | 0.719587i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 31.5891 | 1.04659 | 0.523297 | − | 0.852150i | \(-0.324702\pi\) | ||||
0.523297 | + | 0.852150i | \(0.324702\pi\) | |||||||
\(912\) | −11.6181 | − | 7.91808i | −0.384713 | − | 0.262194i | ||||
\(913\) | −21.4120 | −0.708633 | ||||||||
\(914\) | 23.2971 | + | 19.5486i | 0.770601 | + | 0.646611i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.66970 | + | 9.46931i | 0.0551683 | + | 0.312875i | ||||
\(917\) | 2.04891 | − | 11.6199i | 0.0676609 | − | 0.383724i | ||||
\(918\) | −72.7726 | − | 26.4871i | −2.40185 | − | 0.874204i | ||||
\(919\) | −15.8297 | − | 27.4179i | −0.522174 | − | 0.904432i | −0.999667 | − | 0.0257967i | \(-0.991788\pi\) |
0.477493 | − | 0.878636i | \(-0.341546\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 3.59913 | − | 3.02003i | 0.118595 | − | 0.0995134i | ||||
\(922\) | −4.51450 | + | 3.78811i | −0.148677 | + | 0.124755i | ||||
\(923\) | 0.0697890 | − | 0.120878i | 0.00229713 | − | 0.00397875i | ||||
\(924\) | −10.4467 | − | 18.0943i | −0.343673 | − | 0.595259i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −5.65682 | + | 32.0814i | −0.185895 | + | 1.05426i | ||||
\(927\) | −2.28960 | − | 12.9849i | −0.0752002 | − | 0.426481i | ||||
\(928\) | 1.97754 | − | 0.719766i | 0.0649159 | − | 0.0236275i | ||||
\(929\) | −17.2986 | − | 14.5152i | −0.567548 | − | 0.476229i | 0.313283 | − | 0.949660i | \(-0.398571\pi\) |
−0.880831 | + | 0.473430i | \(0.843016\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.75941 | − | 0.447672i | −0.0576622 | − | 0.0146719i | ||||
\(932\) | −5.75032 | −0.188358 | ||||||||
\(933\) | −48.6808 | − | 40.8480i | −1.59374 | − | 1.33730i | ||||
\(934\) | −5.84919 | + | 2.12893i | −0.191391 | + | 0.0696608i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −0.129322 | + | 0.733421i | −0.00422702 | + | 0.0239726i | ||||
\(937\) | −29.1391 | − | 10.6058i | −0.951932 | − | 0.346475i | −0.181065 | − | 0.983471i | \(-0.557955\pi\) |
−0.770867 | + | 0.636996i | \(0.780177\pi\) | |||||||
\(938\) | 7.42261 | + | 12.8563i | 0.242357 | + | 0.419774i | ||||
\(939\) | −14.1164 | + | 24.4503i | −0.460671 | + | 0.797906i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −1.60557 | + | 1.34723i | −0.0523401 | + | 0.0439186i | −0.668582 | − | 0.743638i | \(-0.733099\pi\) |
0.616242 | + | 0.787557i | \(0.288654\pi\) | |||||||
\(942\) | −18.9199 | + | 32.7702i | −0.616443 | + | 1.06771i | ||||
\(943\) | −2.38132 | − | 4.12457i | −0.0775464 | − | 0.134314i | ||||
\(944\) | 11.2000 | + | 4.07646i | 0.364528 | + | 0.132677i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.92312 | + | 16.5778i | 0.0950387 | + | 0.538991i | ||||
\(947\) | 16.5253 | − | 6.01473i | 0.537001 | − | 0.195453i | −0.0592604 | − | 0.998243i | \(-0.518874\pi\) |
0.596262 | + | 0.802790i | \(0.296652\pi\) | |||||||
\(948\) | −9.24252 | − | 7.75540i | −0.300183 | − | 0.251884i | ||||
\(949\) | 1.21674 | 0.0394970 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −25.4144 | −0.824118 | ||||||||
\(952\) | 11.3734 | + | 9.54343i | 0.368614 | + | 0.309304i | ||||
\(953\) | −10.4716 | + | 3.81135i | −0.339208 | + | 0.123462i | −0.506007 | − | 0.862529i | \(-0.668879\pi\) |
0.166799 | + | 0.985991i | \(0.446657\pi\) | |||||||
\(954\) | 14.3674 | + | 81.4814i | 0.465161 | + | 2.63806i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 16.3912 | + | 5.96592i | 0.530130 | + | 0.192952i | ||||
\(957\) | −8.07274 | − | 13.9824i | −0.260955 | − | 0.451987i | ||||
\(958\) | 0.725975 | − | 1.25743i | 0.0234552 | − | 0.0406256i | ||||
\(959\) | −15.1139 | + | 12.6821i | −0.488055 | + | 0.409527i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −39.9400 | + | 69.1781i | −1.28839 | + | 2.23155i | ||||
\(962\) | 0.0597134 | + | 0.103427i | 0.00192524 | + | 0.00333461i | ||||
\(963\) | −59.1139 | − | 21.5157i | −1.90492 | − | 0.693334i | ||||
\(964\) | 2.63990 | − | 14.9716i | 0.0850254 | − | 0.482203i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 11.1715 | − | 4.06610i | 0.359438 | − | 0.130825i | ||||
\(967\) | −28.4207 | − | 23.8478i | −0.913950 | − | 0.766895i | 0.0589166 | − | 0.998263i | \(-0.481235\pi\) |
−0.972866 | + | 0.231368i | \(0.925680\pi\) | |||||||
\(968\) | −5.34251 | −0.171715 | ||||||||
\(969\) | 5.71470 | − | 76.4370i | 0.183583 | − | 2.45551i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.90649 | + | 6.63434i | 0.253731 | + | 0.212906i | 0.760777 | − | 0.649013i | \(-0.224818\pi\) |
−0.507046 | + | 0.861919i | \(0.669262\pi\) | |||||||
\(972\) | 31.5073 | − | 11.4677i | 1.01060 | − | 0.367827i | ||||
\(973\) | −6.95921 | − | 39.4676i | −0.223102 | − | 1.26527i | ||||
\(974\) | −3.93194 | + | 22.2991i | −0.125988 | + | 0.714511i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.0874174 | + | 0.151411i | 0.00279816 | + | 0.00484656i | ||||
\(977\) | 17.3817 | − | 30.1060i | 0.556089 | − | 0.963175i | −0.441728 | − | 0.897149i | \(-0.645635\pi\) |
0.997818 | − | 0.0660264i | \(-0.0210322\pi\) | |||||||
\(978\) | −48.5796 | + | 40.7632i | −1.55341 | + | 1.30346i | ||||
\(979\) | 14.0854 | − | 11.8191i | 0.450172 | − | 0.377739i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 28.4067 | + | 49.2018i | 0.906955 | + | 1.57089i | ||||
\(982\) | 5.70304 | + | 2.07574i | 0.181991 | + | 0.0662395i | ||||
\(983\) | −6.82528 | + | 38.7081i | −0.217693 | + | 1.23460i | 0.658480 | + | 0.752598i | \(0.271200\pi\) |
−0.876173 | + | 0.481998i | \(0.839911\pi\) | |||||||
\(984\) | 1.97102 | + | 11.1782i | 0.0628337 | + | 0.356348i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 8.78883 | + | 7.37470i | 0.279893 | + | 0.234858i | ||||
\(987\) | −70.3407 | −2.23897 | ||||||||
\(988\) | −0.436257 | + | 0.0437313i | −0.0138792 | + | 0.00139128i | ||||
\(989\) | −9.57836 | −0.304574 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −15.3142 | + | 5.57390i | −0.486470 | + | 0.177061i | −0.573599 | − | 0.819136i | \(-0.694453\pi\) |
0.0871286 | + | 0.996197i | \(0.472231\pi\) | |||||||
\(992\) | 1.82851 | + | 10.3700i | 0.0580552 | + | 0.329247i | ||||
\(993\) | 13.3601 | − | 75.7689i | 0.423970 | − | 2.40445i | ||||
\(994\) | 3.55112 | + | 1.29250i | 0.112635 | + | 0.0409957i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −14.5183 | + | 25.1464i | −0.460028 | + | 0.796793i | ||||
\(997\) | 7.22006 | − | 6.05835i | 0.228662 | − | 0.191870i | −0.521257 | − | 0.853399i | \(-0.674537\pi\) |
0.749919 | + | 0.661530i | \(0.230092\pi\) | |||||||
\(998\) | 4.40328 | − | 3.69479i | 0.139383 | − | 0.116957i | ||||
\(999\) | 8.43295 | − | 14.6063i | 0.266807 | − | 0.462123i |
(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 | 950.2.l.m.301.5 | 30 | ||
5.2 | odd | 4 | 190.2.p.a.149.1 | yes | 60 | ||
5.3 | odd | 4 | 190.2.p.a.149.10 | yes | 60 | ||
5.4 | even | 2 | 950.2.l.l.301.1 | 30 | |||
19.6 | even | 9 | inner | 950.2.l.m.101.5 | 30 | ||
95.44 | even | 18 | 950.2.l.l.101.1 | 30 | |||
95.63 | odd | 36 | 190.2.p.a.139.1 | ✓ | 60 | ||
95.82 | odd | 36 | 190.2.p.a.139.10 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.p.a.139.1 | ✓ | 60 | 95.63 | odd | 36 | ||
190.2.p.a.139.10 | yes | 60 | 95.82 | odd | 36 | ||
190.2.p.a.149.1 | yes | 60 | 5.2 | odd | 4 | ||
190.2.p.a.149.10 | yes | 60 | 5.3 | odd | 4 | ||
950.2.l.l.101.1 | 30 | 95.44 | even | 18 | |||
950.2.l.l.301.1 | 30 | 5.4 | even | 2 | |||
950.2.l.m.101.5 | 30 | 19.6 | even | 9 | inner | ||
950.2.l.m.301.5 | 30 | 1.1 | even | 1 | trivial |