Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,2,Mod(7,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.m (of order \(22\), degree \(10\), 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: | \(2.20387109579\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 7.15 | ||
Character | \(\chi\) | \(=\) | 276.7 |
Dual form | 276.2.m.a.79.15 |
$q$-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 \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(e\left(\frac{19}{22}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.429221 | + | 1.34750i | 0.303505 | + | 0.952830i | ||||
\(3\) | 0.540641 | + | 0.841254i | 0.312139 | + | 0.485698i | ||||
\(4\) | −1.63154 | + | 1.15676i | −0.815769 | + | 0.578378i | ||||
\(5\) | −1.34962 | + | 0.616349i | −0.603567 | + | 0.275640i | −0.693670 | − | 0.720293i | \(-0.744007\pi\) |
0.0901036 | + | 0.995932i | \(0.471280\pi\) | |||||||
\(6\) | −0.901539 | + | 1.08960i | −0.368052 | + | 0.444827i | ||||
\(7\) | −3.09157 | + | 0.907767i | −1.16850 | + | 0.343104i | −0.807732 | − | 0.589550i | \(-0.799305\pi\) |
−0.360772 | + | 0.932654i | \(0.617487\pi\) | |||||||
\(8\) | −2.25902 | − | 1.70200i | −0.798686 | − | 0.601748i | ||||
\(9\) | −0.415415 | + | 0.909632i | −0.138472 | + | 0.303211i | ||||
\(10\) | −1.40982 | − | 1.55406i | −0.445823 | − | 0.491438i | ||||
\(11\) | −0.275310 | − | 0.317725i | −0.0830091 | − | 0.0957976i | 0.712726 | − | 0.701443i | \(-0.247460\pi\) |
−0.795735 | + | 0.605645i | \(0.792915\pi\) | |||||||
\(12\) | −1.85520 | − | 0.747148i | −0.535550 | − | 0.215683i | ||||
\(13\) | 0.203308 | + | 0.0596967i | 0.0563876 | + | 0.0165569i | 0.309805 | − | 0.950800i | \(-0.399736\pi\) |
−0.253417 | + | 0.967357i | \(0.581555\pi\) | |||||||
\(14\) | −2.55019 | − | 3.77627i | −0.681566 | − | 1.00925i | ||||
\(15\) | −1.24816 | − | 0.802146i | −0.322274 | − | 0.207113i | ||||
\(16\) | 1.32383 | − | 3.77458i | 0.330958 | − | 0.943645i | ||||
\(17\) | 6.93583 | + | 0.997222i | 1.68219 | + | 0.241862i | 0.916121 | − | 0.400901i | \(-0.131303\pi\) |
0.766065 | + | 0.642763i | \(0.222212\pi\) | |||||||
\(18\) | −1.40404 | − | 0.169340i | −0.330935 | − | 0.0399139i | ||||
\(19\) | 1.20273 | + | 8.36514i | 0.275924 | + | 1.91910i | 0.380891 | + | 0.924620i | \(0.375617\pi\) |
−0.104966 | + | 0.994476i | \(0.533474\pi\) | |||||||
\(20\) | 1.48898 | − | 2.56677i | 0.332947 | − | 0.573948i | ||||
\(21\) | −2.43509 | − | 2.11002i | −0.531380 | − | 0.460444i | ||||
\(22\) | 0.309967 | − | 0.507356i | 0.0660851 | − | 0.108169i | ||||
\(23\) | −2.10222 | + | 4.31053i | −0.438342 | + | 0.898808i | ||||
\(24\) | 0.210494 | − | 2.82058i | 0.0429668 | − | 0.575749i | ||||
\(25\) | −1.83273 | + | 2.11508i | −0.366545 | + | 0.423016i | ||||
\(26\) | 0.00682267 | + | 0.299582i | 0.00133804 | + | 0.0587529i | ||||
\(27\) | −0.989821 | + | 0.142315i | −0.190491 | + | 0.0273885i | ||||
\(28\) | 3.99395 | − | 5.05725i | 0.754786 | − | 0.955730i | ||||
\(29\) | 1.31552 | − | 9.14967i | 0.244287 | − | 1.69905i | −0.385845 | − | 0.922564i | \(-0.626090\pi\) |
0.630132 | − | 0.776488i | \(-0.283001\pi\) | |||||||
\(30\) | 0.545157 | − | 2.02620i | 0.0995316 | − | 0.369933i | ||||
\(31\) | −0.417086 | + | 0.648998i | −0.0749108 | + | 0.116564i | −0.876688 | − | 0.481060i | \(-0.840252\pi\) |
0.801777 | + | 0.597624i | \(0.203888\pi\) | |||||||
\(32\) | 5.65448 | + | 0.163741i | 0.999581 | + | 0.0289455i | ||||
\(33\) | 0.118443 | − | 0.403380i | 0.0206183 | − | 0.0702195i | ||||
\(34\) | 1.63325 | + | 9.77409i | 0.280099 | + | 1.67624i | ||||
\(35\) | 3.61293 | − | 3.13062i | 0.610697 | − | 0.529172i | ||||
\(36\) | −0.374456 | − | 1.96463i | −0.0624094 | − | 0.327439i | ||||
\(37\) | 5.72461 | + | 2.61434i | 0.941121 | + | 0.429795i | 0.826072 | − | 0.563564i | \(-0.190570\pi\) |
0.115049 | + | 0.993360i | \(0.463298\pi\) | |||||||
\(38\) | −10.7558 | + | 5.21118i | −1.74483 | + | 0.845365i | ||||
\(39\) | 0.0596967 | + | 0.203308i | 0.00955913 | + | 0.0325554i | ||||
\(40\) | 4.09784 | + | 0.904701i | 0.647926 | + | 0.143046i | ||||
\(41\) | 0.668756 | + | 1.46437i | 0.104442 | + | 0.228697i | 0.954637 | − | 0.297771i | \(-0.0962433\pi\) |
−0.850195 | + | 0.526468i | \(0.823516\pi\) | |||||||
\(42\) | 1.79807 | − | 4.18696i | 0.277448 | − | 0.646062i | ||||
\(43\) | −4.82029 | + | 3.09781i | −0.735087 | + | 0.472412i | −0.853855 | − | 0.520510i | \(-0.825742\pi\) |
0.118768 | + | 0.992922i | \(0.462105\pi\) | |||||||
\(44\) | 0.816709 | + | 0.199914i | 0.123123 | + | 0.0301381i | ||||
\(45\) | − | 1.48369i | − | 0.221176i | ||||||
\(46\) | −6.71078 | − | 0.982574i | −0.989450 | − | 0.144873i | ||||
\(47\) | − | 5.63621i | − | 0.822126i | −0.911607 | − | 0.411063i | \(-0.865158\pi\) | ||
0.911607 | − | 0.411063i | \(-0.134842\pi\) | |||||||
\(48\) | 3.89110 | − | 0.927014i | 0.561632 | − | 0.133803i | ||||
\(49\) | 2.84499 | − | 1.82836i | 0.406427 | − | 0.261195i | ||||
\(50\) | −3.63672 | − | 1.56177i | −0.514310 | − | 0.220868i | ||||
\(51\) | 2.91088 | + | 6.37393i | 0.407604 | + | 0.892529i | ||||
\(52\) | −0.400760 | + | 0.137781i | −0.0555754 | + | 0.0191067i | ||||
\(53\) | 0.159333 | + | 0.542639i | 0.0218861 | + | 0.0745372i | 0.969712 | − | 0.244251i | \(-0.0785422\pi\) |
−0.947826 | + | 0.318789i | \(0.896724\pi\) | |||||||
\(54\) | −0.616622 | − | 1.27270i | −0.0839117 | − | 0.173193i | ||||
\(55\) | 0.567392 | + | 0.259119i | 0.0765071 | + | 0.0349396i | ||||
\(56\) | 8.52895 | + | 3.21119i | 1.13973 | + | 0.429113i | ||||
\(57\) | −6.38696 | + | 5.53434i | −0.845974 | + | 0.733041i | ||||
\(58\) | 12.8939 | − | 2.15456i | 1.69305 | − | 0.282908i | ||||
\(59\) | 1.54849 | − | 5.27366i | 0.201596 | − | 0.686572i | −0.795183 | − | 0.606370i | \(-0.792625\pi\) |
0.996779 | − | 0.0802021i | \(-0.0255566\pi\) | |||||||
\(60\) | 2.96431 | − | 0.135088i | 0.382691 | − | 0.0174398i | ||||
\(61\) | −3.24731 | + | 5.05292i | −0.415776 | + | 0.646960i | −0.984463 | − | 0.175594i | \(-0.943815\pi\) |
0.568687 | + | 0.822554i | \(0.307452\pi\) | |||||||
\(62\) | −1.05355 | − | 0.283461i | −0.133801 | − | 0.0359996i | ||||
\(63\) | 0.458551 | − | 3.18929i | 0.0577720 | − | 0.401813i | ||||
\(64\) | 2.20638 | + | 7.68972i | 0.275798 | + | 0.961216i | ||||
\(65\) | −0.311182 | + | 0.0447413i | −0.0385974 | + | 0.00554947i | ||||
\(66\) | 0.594395 | − | 0.0135367i | 0.0731650 | − | 0.00166626i | ||||
\(67\) | 9.31219 | − | 10.7468i | 1.13767 | − | 1.31294i | 0.194391 | − | 0.980924i | \(-0.437727\pi\) |
0.943275 | − | 0.332012i | \(-0.107727\pi\) | |||||||
\(68\) | −12.4696 | + | 6.39606i | −1.51216 | + | 0.775636i | ||||
\(69\) | −4.76279 | + | 0.561953i | −0.573373 | + | 0.0676511i | ||||
\(70\) | 5.76928 | + | 3.52471i | 0.689560 | + | 0.421284i | ||||
\(71\) | 2.30409 | + | 1.99650i | 0.273445 | + | 0.236941i | 0.780778 | − | 0.624809i | \(-0.214823\pi\) |
−0.507333 | + | 0.861750i | \(0.669369\pi\) | |||||||
\(72\) | 2.48663 | − | 1.34784i | 0.293052 | − | 0.158845i | ||||
\(73\) | 1.08496 | + | 7.54605i | 0.126985 | + | 0.883199i | 0.949346 | + | 0.314233i | \(0.101747\pi\) |
−0.822361 | + | 0.568966i | \(0.807344\pi\) | |||||||
\(74\) | −1.06571 | + | 8.83608i | −0.123887 | + | 1.02717i | ||||
\(75\) | −2.77016 | − | 0.398290i | −0.319871 | − | 0.0459905i | ||||
\(76\) | −11.6387 | − | 12.2568i | −1.33505 | − | 1.40595i | ||||
\(77\) | 1.13956 | + | 0.732351i | 0.129865 | + | 0.0834591i | ||||
\(78\) | −0.248336 | + | 0.167706i | −0.0281185 | + | 0.0189890i | ||||
\(79\) | 6.15059 | + | 1.80598i | 0.691996 | + | 0.203188i | 0.608775 | − | 0.793343i | \(-0.291661\pi\) |
0.0832207 | + | 0.996531i | \(0.473479\pi\) | |||||||
\(80\) | 0.539793 | + | 5.91018i | 0.0603507 | + | 0.660778i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −1.68620 | + | 1.52969i | −0.186210 | + | 0.168926i | ||||
\(83\) | −0.581189 | + | 1.27263i | −0.0637938 | + | 0.139689i | −0.938843 | − | 0.344344i | \(-0.888101\pi\) |
0.875050 | + | 0.484033i | \(0.160829\pi\) | |||||||
\(84\) | 6.41372 | + | 0.625770i | 0.699794 | + | 0.0682771i | ||||
\(85\) | −9.97534 | + | 2.92903i | −1.08198 | + | 0.317697i | ||||
\(86\) | −6.24329 | − | 5.16572i | −0.673231 | − | 0.557033i | ||||
\(87\) | 8.40842 | − | 3.84000i | 0.901477 | − | 0.411691i | ||||
\(88\) | 0.0811643 | + | 1.18633i | 0.00865214 | + | 0.126463i | ||||
\(89\) | 3.35040 | + | 5.21332i | 0.355142 | + | 0.552611i | 0.972154 | − | 0.234342i | \(-0.0752936\pi\) |
−0.617013 | + | 0.786953i | \(0.711657\pi\) | |||||||
\(90\) | 1.99929 | − | 0.636833i | 0.210743 | − | 0.0671281i | ||||
\(91\) | −0.682733 | −0.0715698 | ||||||||
\(92\) | −1.55639 | − | 9.46455i | −0.162264 | − | 0.986747i | ||||
\(93\) | −0.771466 | −0.0799973 | ||||||||
\(94\) | 7.59482 | − | 2.41918i | 0.783346 | − | 0.249520i | ||||
\(95\) | −6.77907 | − | 10.5484i | −0.695518 | − | 1.08225i | ||||
\(96\) | 2.91930 | + | 4.84538i | 0.297950 | + | 0.494529i | ||||
\(97\) | 9.45205 | − | 4.31661i | 0.959711 | − | 0.438285i | 0.126944 | − | 0.991910i | \(-0.459483\pi\) |
0.832766 | + | 0.553625i | \(0.186756\pi\) | |||||||
\(98\) | 3.68486 | + | 3.04887i | 0.372227 | + | 0.307982i | ||||
\(99\) | 0.403380 | − | 0.118443i | 0.0405413 | − | 0.0119040i | ||||
\(100\) | 0.543534 | − | 5.57085i | 0.0543534 | − | 0.557085i | ||||
\(101\) | 5.08476 | − | 11.1341i | 0.505953 | − | 1.10788i | −0.468536 | − | 0.883444i | \(-0.655218\pi\) |
0.974489 | − | 0.224437i | \(-0.0720544\pi\) | |||||||
\(102\) | −7.33949 | + | 6.65825i | −0.726718 | + | 0.659265i | ||||
\(103\) | 0.766093 | + | 0.884118i | 0.0754854 | + | 0.0871148i | 0.792236 | − | 0.610215i | \(-0.208917\pi\) |
−0.716751 | + | 0.697330i | \(0.754371\pi\) | |||||||
\(104\) | −0.357675 | − | 0.480887i | −0.0350729 | − | 0.0471549i | ||||
\(105\) | 4.58695 | + | 1.34685i | 0.447640 | + | 0.131439i | ||||
\(106\) | −0.662820 | + | 0.447615i | −0.0643787 | + | 0.0434762i | ||||
\(107\) | 3.07215 | + | 1.97435i | 0.296996 | + | 0.190868i | 0.680649 | − | 0.732609i | \(-0.261698\pi\) |
−0.383653 | + | 0.923477i | \(0.625334\pi\) | |||||||
\(108\) | 1.45031 | − | 1.37717i | 0.139556 | − | 0.132519i | ||||
\(109\) | −11.7896 | − | 1.69509i | −1.12924 | − | 0.162360i | −0.447729 | − | 0.894169i | \(-0.647767\pi\) |
−0.681510 | + | 0.731809i | \(0.738676\pi\) | |||||||
\(110\) | −0.105628 | + | 0.875783i | −0.0100712 | + | 0.0835026i | ||||
\(111\) | 0.895634 | + | 6.22927i | 0.0850098 | + | 0.591256i | ||||
\(112\) | −0.666283 | + | 12.8711i | −0.0629578 | + | 1.21621i | ||||
\(113\) | 2.47819 | + | 2.14736i | 0.233128 | + | 0.202007i | 0.763589 | − | 0.645703i | \(-0.223436\pi\) |
−0.530460 | + | 0.847710i | \(0.677981\pi\) | |||||||
\(114\) | −10.1990 | − | 6.23101i | −0.955221 | − | 0.583588i | ||||
\(115\) | 0.180393 | − | 7.11326i | 0.0168217 | − | 0.663315i | ||||
\(116\) | 8.43761 | + | 16.4498i | 0.783412 | + | 1.52732i | ||||
\(117\) | −0.138759 | + | 0.160137i | −0.0128283 | + | 0.0148047i | ||||
\(118\) | 7.77092 | − | 0.176975i | 0.715371 | − | 0.0162918i | ||||
\(119\) | −22.3479 | + | 3.21314i | −2.04862 | + | 0.294548i | ||||
\(120\) | 1.45438 | + | 3.93644i | 0.132766 | + | 0.359346i | ||||
\(121\) | 1.54031 | − | 10.7131i | 0.140028 | − | 0.973917i | ||||
\(122\) | −8.20265 | − | 2.20695i | −0.742633 | − | 0.199808i | ||||
\(123\) | −0.870351 | + | 1.35429i | −0.0784769 | + | 0.122113i | ||||
\(124\) | −0.0702409 | − | 1.54133i | −0.00630782 | − | 0.138416i | ||||
\(125\) | 3.25988 | − | 11.1021i | 0.291572 | − | 0.993003i | ||||
\(126\) | 4.49440 | − | 0.751012i | 0.400393 | − | 0.0669055i | ||||
\(127\) | −5.19977 | + | 4.50563i | −0.461405 | + | 0.399810i | −0.854306 | − | 0.519771i | \(-0.826017\pi\) |
0.392900 | + | 0.919581i | \(0.371472\pi\) | |||||||
\(128\) | −9.41491 | + | 6.27371i | −0.832169 | + | 0.554523i | ||||
\(129\) | −5.21209 | − | 2.38028i | −0.458899 | − | 0.209572i | ||||
\(130\) | −0.193855 | − | 0.400116i | −0.0170022 | − | 0.0350925i | ||||
\(131\) | −4.02849 | − | 13.7198i | −0.351971 | − | 1.19870i | −0.925255 | − | 0.379346i | \(-0.876149\pi\) |
0.573284 | − | 0.819356i | \(-0.305669\pi\) | |||||||
\(132\) | 0.273368 | + | 0.795140i | 0.0237936 | + | 0.0692081i | ||||
\(133\) | −11.3119 | − | 24.7696i | −0.980867 | − | 2.14780i | ||||
\(134\) | 18.4784 | + | 7.93545i | 1.59629 | + | 0.685519i | ||||
\(135\) | 1.24816 | − | 0.802146i | 0.107425 | − | 0.0690377i | ||||
\(136\) | −13.9709 | − | 14.0575i | −1.19800 | − | 1.20542i | ||||
\(137\) | 16.4540i | 1.40576i | 0.711309 | + | 0.702879i | \(0.248102\pi\) | ||||
−0.711309 | + | 0.702879i | \(0.751898\pi\) | |||||||
\(138\) | −2.80153 | − | 6.17669i | −0.238482 | − | 0.525794i | ||||
\(139\) | − | 20.3468i | − | 1.72580i | −0.505377 | − | 0.862899i | \(-0.668647\pi\) | ||
0.505377 | − | 0.862899i | \(-0.331353\pi\) | |||||||
\(140\) | −2.27327 | + | 9.28701i | −0.192126 | + | 0.784895i | ||||
\(141\) | 4.74148 | − | 3.04717i | 0.399305 | − | 0.256618i | ||||
\(142\) | −1.70133 | + | 3.96171i | −0.142773 | + | 0.332459i | ||||
\(143\) | −0.0370057 | − | 0.0810312i | −0.00309457 | − | 0.00677617i | ||||
\(144\) | 2.88354 | + | 2.77222i | 0.240295 | + | 0.231018i | ||||
\(145\) | 3.86394 | + | 13.1594i | 0.320883 | + | 1.09283i | ||||
\(146\) | −9.70266 | + | 4.70091i | −0.802997 | + | 0.389050i | ||||
\(147\) | 3.07624 | + | 1.40487i | 0.253724 | + | 0.115872i | ||||
\(148\) | −12.3641 | + | 2.35658i | −1.01632 | + | 0.193710i | ||||
\(149\) | −11.9193 | + | 10.3281i | −0.976466 | + | 0.846113i | −0.988099 | − | 0.153819i | \(-0.950843\pi\) |
0.0116325 | + | 0.999932i | \(0.496297\pi\) | |||||||
\(150\) | −0.652317 | − | 3.90376i | −0.0532614 | − | 0.318741i | ||||
\(151\) | −3.96235 | + | 13.4945i | −0.322452 | + | 1.09817i | 0.625624 | + | 0.780125i | \(0.284844\pi\) |
−0.948076 | + | 0.318044i | \(0.896974\pi\) | |||||||
\(152\) | 11.5205 | − | 20.9441i | 0.934436 | − | 1.69879i | ||||
\(153\) | −3.78835 | + | 5.89479i | −0.306270 | + | 0.476566i | ||||
\(154\) | −0.497723 | + | 1.84990i | −0.0401076 | + | 0.149069i | ||||
\(155\) | 0.162896 | − | 1.13297i | 0.0130842 | − | 0.0910023i | ||||
\(156\) | −0.332576 | − | 0.262651i | −0.0266274 | − | 0.0210289i | ||||
\(157\) | −11.2058 | + | 1.61114i | −0.894317 | + | 0.128583i | −0.574123 | − | 0.818769i | \(-0.694657\pi\) |
−0.320194 | + | 0.947352i | \(0.603748\pi\) | |||||||
\(158\) | 0.206403 | + | 9.06312i | 0.0164205 | + | 0.721023i | ||||
\(159\) | −0.370355 | + | 0.427413i | −0.0293711 | + | 0.0338960i | ||||
\(160\) | −7.73230 | + | 3.26415i | −0.611292 | + | 0.258054i | ||||
\(161\) | 2.58619 | − | 15.2346i | 0.203820 | − | 1.20066i | ||||
\(162\) | 0.737296 | − | 1.20681i | 0.0579274 | − | 0.0948161i | ||||
\(163\) | 5.51409 | + | 4.77799i | 0.431897 | + | 0.374241i | 0.843506 | − | 0.537120i | \(-0.180488\pi\) |
−0.411609 | + | 0.911361i | \(0.635033\pi\) | |||||||
\(164\) | −2.78502 | − | 1.61559i | −0.217474 | − | 0.126157i | ||||
\(165\) | 0.0887703 | + | 0.617411i | 0.00691076 | + | 0.0480654i | ||||
\(166\) | −1.96433 | − | 0.236917i | −0.152462 | − | 0.0183883i | ||||
\(167\) | 14.9308 | + | 2.14672i | 1.15538 | + | 0.166118i | 0.693251 | − | 0.720696i | \(-0.256178\pi\) |
0.462126 | + | 0.886814i | \(0.347087\pi\) | |||||||
\(168\) | 1.90968 | + | 8.91111i | 0.147335 | + | 0.687507i | ||||
\(169\) | −10.8985 | − | 7.00406i | −0.838348 | − | 0.538774i | ||||
\(170\) | −8.22851 | − | 12.1846i | −0.631098 | − | 0.934518i | ||||
\(171\) | −8.10883 | − | 2.38097i | −0.620098 | − | 0.182077i | ||||
\(172\) | 4.28107 | − | 10.6301i | 0.326429 | − | 0.810537i | ||||
\(173\) | −0.751548 | − | 0.867332i | −0.0571391 | − | 0.0659421i | 0.726460 | − | 0.687208i | \(-0.241164\pi\) |
−0.783600 | + | 0.621266i | \(0.786619\pi\) | |||||||
\(174\) | 8.78349 | + | 9.68218i | 0.665875 | + | 0.734004i | ||||
\(175\) | 3.74600 | − | 8.20260i | 0.283171 | − | 0.620059i | ||||
\(176\) | −1.56374 | + | 0.618566i | −0.117872 | + | 0.0466261i | ||||
\(177\) | 5.27366 | − | 1.54849i | 0.396392 | − | 0.116391i | ||||
\(178\) | −5.58692 | + | 6.75235i | −0.418757 | + | 0.506110i | ||||
\(179\) | −10.4533 | + | 4.77386i | −0.781317 | + | 0.356815i | −0.765812 | − | 0.643064i | \(-0.777663\pi\) |
−0.0155045 | + | 0.999880i | \(0.504935\pi\) | |||||||
\(180\) | 1.71627 | + | 2.42070i | 0.127923 | + | 0.180429i | ||||
\(181\) | −2.99910 | − | 4.66670i | −0.222922 | − | 0.346873i | 0.711720 | − | 0.702463i | \(-0.247916\pi\) |
−0.934642 | + | 0.355590i | \(0.884280\pi\) | |||||||
\(182\) | −0.293043 | − | 0.919986i | −0.0217218 | − | 0.0681939i | ||||
\(183\) | −6.00642 | −0.444007 | ||||||||
\(184\) | 12.0855 | − | 6.15962i | 0.890954 | − | 0.454093i | ||||
\(185\) | −9.33738 | −0.686498 | ||||||||
\(186\) | −0.331130 | − | 1.03955i | −0.0242796 | − | 0.0762238i | ||||
\(187\) | −1.59266 | − | 2.47823i | −0.116467 | − | 0.181226i | ||||
\(188\) | 6.51972 | + | 9.19570i | 0.475500 | + | 0.670665i | ||||
\(189\) | 2.93091 | − | 1.33850i | 0.213193 | − | 0.0973618i | ||||
\(190\) | 11.3043 | − | 13.6624i | 0.820103 | − | 0.991177i | ||||
\(191\) | 18.6752 | − | 5.48354i | 1.35129 | − | 0.396775i | 0.475606 | − | 0.879658i | \(-0.342229\pi\) |
0.875685 | + | 0.482883i | \(0.160410\pi\) | |||||||
\(192\) | −5.27615 | + | 6.01351i | −0.380773 | + | 0.433988i | ||||
\(193\) | −7.06932 | + | 15.4796i | −0.508861 | + | 1.11425i | 0.464626 | + | 0.885507i | \(0.346189\pi\) |
−0.973487 | + | 0.228743i | \(0.926539\pi\) | |||||||
\(194\) | 9.87367 | + | 10.8839i | 0.708888 | + | 0.781419i | ||||
\(195\) | −0.205877 | − | 0.237594i | −0.0147431 | − | 0.0170145i | ||||
\(196\) | −2.52674 | + | 6.27400i | −0.180481 | + | 0.448143i | ||||
\(197\) | 14.4376 | + | 4.23927i | 1.02864 | + | 0.302036i | 0.752157 | − | 0.658983i | \(-0.229013\pi\) |
0.276482 | + | 0.961019i | \(0.410831\pi\) | |||||||
\(198\) | 0.332742 | + | 0.492719i | 0.0236470 | + | 0.0350160i | ||||
\(199\) | −4.30299 | − | 2.76537i | −0.305031 | − | 0.196032i | 0.379166 | − | 0.925329i | \(-0.376211\pi\) |
−0.684197 | + | 0.729297i | \(0.739847\pi\) | |||||||
\(200\) | 7.74004 | − | 1.65871i | 0.547304 | − | 0.117289i | ||||
\(201\) | 14.0754 | + | 2.02373i | 0.992800 | + | 0.142743i | ||||
\(202\) | 17.1857 | + | 2.07276i | 1.20918 | + | 0.145839i | ||||
\(203\) | 4.23873 | + | 29.4810i | 0.297501 | + | 2.06916i | ||||
\(204\) | −12.1223 | − | 7.03214i | −0.848730 | − | 0.492348i | ||||
\(205\) | −1.80513 | − | 1.56415i | −0.126076 | − | 0.109245i | ||||
\(206\) | −0.862530 | + | 1.41180i | −0.0600953 | + | 0.0983645i | ||||
\(207\) | −3.04771 | − | 3.70290i | −0.211830 | − | 0.257370i | ||||
\(208\) | 0.494477 | − | 0.688376i | 0.0342858 | − | 0.0477303i | ||||
\(209\) | 2.32669 | − | 2.68514i | 0.160941 | − | 0.185735i | ||||
\(210\) | 0.153930 | + | 6.75903i | 0.0106222 | + | 0.466417i | ||||
\(211\) | −6.87863 | + | 0.988997i | −0.473544 | + | 0.0680854i | −0.374955 | − | 0.927043i | \(-0.622342\pi\) |
−0.0985888 | + | 0.995128i | \(0.531433\pi\) | |||||||
\(212\) | −0.887659 | − | 0.701027i | −0.0609647 | − | 0.0481467i | ||||
\(213\) | −0.433881 | + | 3.01771i | −0.0297291 | + | 0.206770i | ||||
\(214\) | −1.34182 | + | 4.98717i | −0.0917246 | + | 0.340916i | ||||
\(215\) | 4.59621 | − | 7.15184i | 0.313459 | − | 0.487751i | ||||
\(216\) | 2.47825 | + | 1.36318i | 0.168624 | + | 0.0927530i | ||||
\(217\) | 0.700311 | − | 2.38504i | 0.0475402 | − | 0.161907i | ||||
\(218\) | −2.77621 | − | 16.6141i | −0.188029 | − | 1.12525i | ||||
\(219\) | −5.76157 | + | 4.99243i | −0.389331 | + | 0.337357i | ||||
\(220\) | −1.22546 | + | 0.233571i | −0.0826205 | + | 0.0157473i | ||||
\(221\) | 1.35058 | + | 0.616790i | 0.0908499 | + | 0.0414898i | ||||
\(222\) | −8.00955 | + | 3.88061i | −0.537566 | + | 0.260449i | ||||
\(223\) | 3.69076 | + | 12.5696i | 0.247151 | + | 0.841720i | 0.985842 | + | 0.167676i | \(0.0536262\pi\) |
−0.738691 | + | 0.674044i | \(0.764556\pi\) | |||||||
\(224\) | −17.6299 | + | 4.62674i | −1.17795 | + | 0.309137i | ||||
\(225\) | −1.16260 | − | 2.54574i | −0.0775068 | − | 0.169716i | ||||
\(226\) | −1.82989 | + | 4.26106i | −0.121722 | + | 0.283442i | ||||
\(227\) | −0.519330 | + | 0.333753i | −0.0344692 | + | 0.0221520i | −0.557762 | − | 0.830001i | \(-0.688340\pi\) |
0.523293 | + | 0.852153i | \(0.324703\pi\) | |||||||
\(228\) | 4.01870 | − | 16.4176i | 0.266145 | − | 1.08728i | ||||
\(229\) | 18.4305i | 1.21792i | 0.793201 | + | 0.608959i | \(0.208413\pi\) | ||||
−0.793201 | + | 0.608959i | \(0.791587\pi\) | |||||||
\(230\) | 9.66258 | − | 2.81008i | 0.637132 | − | 0.185291i | ||||
\(231\) | 1.35460i | 0.0891260i | ||||||||
\(232\) | −18.5446 | + | 18.4303i | −1.21751 | + | 1.21001i | ||||
\(233\) | 21.6010 | − | 13.8821i | 1.41513 | − | 0.909448i | 0.415128 | − | 0.909763i | \(-0.363737\pi\) |
1.00000 | 0.000315409i | \(0.000100398\pi\) | ||||||||
\(234\) | −0.275344 | − | 0.118245i | −0.0179998 | − | 0.00772990i | ||||
\(235\) | 3.47387 | + | 7.60672i | 0.226611 | + | 0.496208i | ||||
\(236\) | 3.57392 | + | 10.3954i | 0.232642 | + | 0.676682i | ||||
\(237\) | 1.80598 | + | 6.15059i | 0.117311 | + | 0.399524i | ||||
\(238\) | −13.9219 | − | 28.7347i | −0.902422 | − | 1.86259i | ||||
\(239\) | 8.50600 | + | 3.88456i | 0.550207 | + | 0.251271i | 0.671065 | − | 0.741399i | \(-0.265837\pi\) |
−0.120858 | + | 0.992670i | \(0.538564\pi\) | |||||||
\(240\) | −4.68012 | + | 3.64939i | −0.302101 | + | 0.235567i | ||||
\(241\) | 6.60340 | − | 5.72187i | 0.425362 | − | 0.368578i | −0.415714 | − | 0.909495i | \(-0.636468\pi\) |
0.841076 | + | 0.540917i | \(0.181923\pi\) | |||||||
\(242\) | 15.0971 | − | 2.52271i | 0.970477 | − | 0.162166i | ||||
\(243\) | 0.281733 | − | 0.959493i | 0.0180732 | − | 0.0615515i | ||||
\(244\) | −0.546876 | − | 12.0004i | −0.0350101 | − | 0.768245i | ||||
\(245\) | −2.71273 | + | 4.22110i | −0.173310 | + | 0.269676i | ||||
\(246\) | −2.19849 | − | 0.591511i | −0.140171 | − | 0.0377134i | ||||
\(247\) | −0.254847 | + | 1.77250i | −0.0162156 | + | 0.112782i | ||||
\(248\) | 2.04680 | − | 0.756223i | 0.129972 | − | 0.0480202i | ||||
\(249\) | −1.38482 | + | 0.199107i | −0.0877592 | + | 0.0126179i | ||||
\(250\) | 16.3594 | − | 0.372567i | 1.03466 | − | 0.0235632i | ||||
\(251\) | 7.57484 | − | 8.74183i | 0.478120 | − | 0.551780i | −0.464533 | − | 0.885556i | \(-0.653778\pi\) |
0.942652 | + | 0.333776i | \(0.108323\pi\) | |||||||
\(252\) | 2.94109 | + | 5.73388i | 0.185271 | + | 0.361201i | ||||
\(253\) | 1.94832 | − | 0.518807i | 0.122490 | − | 0.0326171i | ||||
\(254\) | −8.30321 | − | 5.07281i | −0.520990 | − | 0.318296i | ||||
\(255\) | −7.85713 | − | 6.80824i | −0.492033 | − | 0.426349i | ||||
\(256\) | −12.4949 | − | 9.99383i | −0.780933 | − | 0.624615i | ||||
\(257\) | 3.31066 | + | 23.0261i | 0.206513 | + | 1.43633i | 0.784421 | + | 0.620228i | \(0.212960\pi\) |
−0.577908 | + | 0.816102i | \(0.696131\pi\) | |||||||
\(258\) | 0.970301 | − | 8.04498i | 0.0604083 | − | 0.500859i | ||||
\(259\) | −20.0713 | − | 2.88581i | −1.24717 | − | 0.179316i | ||||
\(260\) | 0.455951 | − | 0.432959i | 0.0282769 | − | 0.0268510i | ||||
\(261\) | 7.77635 | + | 4.99755i | 0.481344 | + | 0.309341i | ||||
\(262\) | 16.7583 | − | 11.3172i | 1.03533 | − | 0.699181i | ||||
\(263\) | 5.57075 | + | 1.63572i | 0.343507 | + | 0.100863i | 0.448936 | − | 0.893564i | \(-0.351803\pi\) |
−0.105428 | + | 0.994427i | \(0.533621\pi\) | |||||||
\(264\) | −0.954120 | + | 0.709656i | −0.0587220 | + | 0.0436763i | ||||
\(265\) | −0.549494 | − | 0.634150i | −0.0337551 | − | 0.0389555i | ||||
\(266\) | 28.5219 | − | 25.8745i | 1.74879 | − | 1.58647i | ||||
\(267\) | −2.57436 | + | 5.63707i | −0.157549 | + | 0.344983i | ||||
\(268\) | −2.76173 | + | 28.3058i | −0.168699 | + | 1.72905i | ||||
\(269\) | −18.1363 | + | 5.32531i | −1.10579 | + | 0.324690i | −0.783151 | − | 0.621831i | \(-0.786389\pi\) |
−0.322641 | + | 0.946521i | \(0.604571\pi\) | |||||||
\(270\) | 1.61663 | + | 1.33761i | 0.0983852 | + | 0.0814042i | ||||
\(271\) | 7.97238 | − | 3.64086i | 0.484287 | − | 0.221167i | −0.158282 | − | 0.987394i | \(-0.550596\pi\) |
0.642570 | + | 0.766227i | \(0.277868\pi\) | |||||||
\(272\) | 12.9460 | − | 24.8597i | 0.784965 | − | 1.50734i | ||||
\(273\) | −0.369113 | − | 0.574351i | −0.0223397 | − | 0.0347613i | ||||
\(274\) | −22.1718 | + | 7.06240i | −1.33945 | + | 0.426655i | ||||
\(275\) | 1.17658 | 0.0709505 | ||||||||
\(276\) | 7.12064 | − | 6.42624i | 0.428612 | − | 0.386814i | ||||
\(277\) | 29.2025 | 1.75461 | 0.877305 | − | 0.479934i | \(-0.159339\pi\) | ||||
0.877305 | + | 0.479934i | \(0.159339\pi\) | |||||||
\(278\) | 27.4175 | − | 8.73330i | 1.64439 | − | 0.523789i | ||||
\(279\) | −0.417086 | − | 0.648998i | −0.0249703 | − | 0.0388545i | ||||
\(280\) | −13.4900 | + | 0.922940i | −0.806183 | + | 0.0551562i | ||||
\(281\) | −15.7496 | + | 7.19260i | −0.939542 | + | 0.429075i | −0.825501 | − | 0.564401i | \(-0.809107\pi\) |
−0.114042 | + | 0.993476i | \(0.536380\pi\) | |||||||
\(282\) | 6.14122 | + | 5.08126i | 0.365704 | + | 0.302585i | ||||
\(283\) | 9.37701 | − | 2.75334i | 0.557405 | − | 0.163669i | 0.00911719 | − | 0.999958i | \(-0.497098\pi\) |
0.548288 | + | 0.836289i | \(0.315280\pi\) | |||||||
\(284\) | −6.06867 | − | 0.592105i | −0.360109 | − | 0.0351349i | ||||
\(285\) | 5.20887 | − | 11.4058i | 0.308547 | − | 0.675623i | ||||
\(286\) | 0.0933063 | − | 0.0846457i | 0.00551732 | − | 0.00500520i | ||||
\(287\) | −3.39682 | − | 3.92014i | −0.200508 | − | 0.231398i | ||||
\(288\) | −2.49790 | + | 5.07548i | −0.147190 | + | 0.299075i | ||||
\(289\) | 30.7999 | + | 9.04367i | 1.81176 | + | 0.531981i | ||||
\(290\) | −16.0738 | + | 10.8550i | −0.943888 | + | 0.637425i | ||||
\(291\) | 8.74153 | + | 5.61784i | 0.512437 | + | 0.329324i | ||||
\(292\) | −10.4991 | − | 11.0566i | −0.614413 | − | 0.647041i | ||||
\(293\) | −28.9307 | − | 4.15961i | −1.69015 | − | 0.243007i | −0.770978 | − | 0.636861i | \(-0.780232\pi\) |
−0.919173 | + | 0.393854i | \(0.871142\pi\) | |||||||
\(294\) | −0.572683 | + | 4.74824i | −0.0333995 | + | 0.276923i | ||||
\(295\) | 1.16055 | + | 8.07182i | 0.0675700 | + | 0.469959i | ||||
\(296\) | −8.48243 | − | 15.6492i | −0.493031 | − | 0.909589i | ||||
\(297\) | 0.317725 | + | 0.275310i | 0.0184363 | + | 0.0159751i | ||||
\(298\) | −19.0332 | − | 11.6283i | −1.10256 | − | 0.673607i | ||||
\(299\) | −0.684723 | + | 0.750872i | −0.0395985 | + | 0.0434240i | ||||
\(300\) | 4.98035 | − | 2.55458i | 0.287541 | − | 0.147489i | ||||
\(301\) | 12.0902 | − | 13.9528i | 0.696866 | − | 0.804226i | ||||
\(302\) | −19.8847 | + | 0.452852i | −1.14423 | + | 0.0260587i | ||||
\(303\) | 12.1156 | − | 1.74196i | 0.696023 | − | 0.100073i | ||||
\(304\) | 33.1671 | + | 6.53427i | 1.90227 | + | 0.374766i | ||||
\(305\) | 1.26827 | − | 8.82098i | 0.0726207 | − | 0.505088i | ||||
\(306\) | −9.56930 | − | 2.57465i | −0.547041 | − | 0.147183i | ||||
\(307\) | 11.6720 | − | 18.1620i | 0.666156 | − | 1.03656i | −0.329564 | − | 0.944133i | \(-0.606902\pi\) |
0.995720 | − | 0.0924251i | \(-0.0294619\pi\) | |||||||
\(308\) | −2.70639 | + | 0.123334i | −0.154211 | + | 0.00702762i | ||||
\(309\) | −0.329587 | + | 1.12247i | −0.0187495 | + | 0.0638550i | ||||
\(310\) | 1.59660 | − | 0.266791i | 0.0906808 | − | 0.0151527i | ||||
\(311\) | −0.378874 | + | 0.328297i | −0.0214840 | + | 0.0186160i | −0.665537 | − | 0.746365i | \(-0.731797\pi\) |
0.644053 | + | 0.764981i | \(0.277252\pi\) | |||||||
\(312\) | 0.211175 | − | 0.560883i | 0.0119554 | − | 0.0317537i | ||||
\(313\) | 11.9484 | + | 5.45663i | 0.675361 | + | 0.308427i | 0.723411 | − | 0.690418i | \(-0.242573\pi\) |
−0.0480497 | + | 0.998845i | \(0.515301\pi\) | |||||||
\(314\) | −6.98078 | − | 14.4083i | −0.393948 | − | 0.813106i | ||||
\(315\) | 1.34685 | + | 4.58695i | 0.0758863 | + | 0.258445i | ||||
\(316\) | −12.1240 | + | 4.16821i | −0.682028 | + | 0.234480i | ||||
\(317\) | 1.04203 | + | 2.28173i | 0.0585263 | + | 0.128155i | 0.936635 | − | 0.350306i | \(-0.113922\pi\) |
−0.878109 | + | 0.478460i | \(0.841195\pi\) | |||||||
\(318\) | −0.734905 | − | 0.315601i | −0.0412114 | − | 0.0176980i | ||||
\(319\) | −3.26925 | + | 2.10102i | −0.183043 | + | 0.117635i | ||||
\(320\) | −7.71733 | − | 9.01827i | −0.431412 | − | 0.504137i | ||||
\(321\) | 3.65187i | 0.203828i | ||||||||
\(322\) | 21.6388 | − | 3.05413i | 1.20588 | − | 0.170200i | ||||
\(323\) | 59.2186i | 3.29501i | ||||||||
\(324\) | 1.94265 | + | 0.475520i | 0.107925 | + | 0.0264178i | ||||
\(325\) | −0.498872 | + | 0.320606i | −0.0276724 | + | 0.0177840i | ||||
\(326\) | −4.07160 | + | 9.48108i | −0.225505 | + | 0.525109i | ||||
\(327\) | −4.94794 | − | 10.8345i | −0.273622 | − | 0.599148i | ||||
\(328\) | 0.981626 | − | 4.44628i | 0.0542012 | − | 0.245505i | ||||
\(329\) | 5.11637 | + | 17.4247i | 0.282074 | + | 0.960657i | ||||
\(330\) | −0.793862 | + | 0.384624i | −0.0437007 | + | 0.0211729i | ||||
\(331\) | −2.68974 | − | 1.22836i | −0.147841 | − | 0.0675168i | 0.340120 | − | 0.940382i | \(-0.389532\pi\) |
−0.487962 | + | 0.872865i | \(0.662259\pi\) | |||||||
\(332\) | −0.523886 | − | 2.74863i | −0.0287520 | − | 0.150851i | ||||
\(333\) | −4.75618 | + | 4.12125i | −0.260637 | + | 0.225843i | ||||
\(334\) | 3.51589 | + | 21.0407i | 0.192381 | + | 1.15130i | ||||
\(335\) | −5.94408 | + | 20.2437i | −0.324760 | + | 1.10603i | ||||
\(336\) | −11.1881 | + | 6.39814i | −0.610360 | + | 0.349047i | ||||
\(337\) | 12.2367 | − | 19.0407i | 0.666576 | − | 1.03721i | −0.329097 | − | 0.944296i | \(-0.606744\pi\) |
0.995674 | − | 0.0929171i | \(-0.0296192\pi\) | |||||||
\(338\) | 4.76012 | − | 17.6921i | 0.258916 | − | 0.962324i | ||||
\(339\) | −0.466666 | + | 3.24574i | −0.0253458 | + | 0.176284i | ||||
\(340\) | 12.8870 | − | 16.3179i | 0.698895 | − | 0.884960i | ||||
\(341\) | 0.321031 | − | 0.0461573i | 0.0173848 | − | 0.00249956i | ||||
\(342\) | −0.272118 | − | 11.9487i | −0.0147145 | − | 0.646109i | ||||
\(343\) | 7.63437 | − | 8.81053i | 0.412217 | − | 0.475724i | ||||
\(344\) | 16.1616 | + | 1.20611i | 0.871377 | + | 0.0650288i | ||||
\(345\) | 6.08158 | − | 3.69396i | 0.327421 | − | 0.198876i | ||||
\(346\) | 0.846154 | − | 1.38499i | 0.0454895 | − | 0.0744576i | ||||
\(347\) | −11.8100 | − | 10.2335i | −0.633996 | − | 0.549361i | 0.277471 | − | 0.960734i | \(-0.410504\pi\) |
−0.911467 | + | 0.411373i | \(0.865049\pi\) | |||||||
\(348\) | −9.27672 | + | 15.9916i | −0.497284 | + | 0.857239i | ||||
\(349\) | −2.53016 | − | 17.5976i | −0.135436 | − | 0.941980i | −0.938301 | − | 0.345819i | \(-0.887601\pi\) |
0.802865 | − | 0.596161i | \(-0.203308\pi\) | |||||||
\(350\) | 12.6609 | + | 1.52703i | 0.676754 | + | 0.0816229i | ||||
\(351\) | −0.209735 | − | 0.0301553i | −0.0111948 | − | 0.00160957i | ||||
\(352\) | −1.50471 | − | 1.84165i | −0.0802014 | − | 0.0981602i | ||||
\(353\) | 6.85027 | + | 4.40240i | 0.364603 | + | 0.234316i | 0.710096 | − | 0.704105i | \(-0.248652\pi\) |
−0.345492 | + | 0.938422i | \(0.612288\pi\) | |||||||
\(354\) | 4.35016 | + | 6.44163i | 0.231208 | + | 0.342369i | ||||
\(355\) | −4.34017 | − | 1.27439i | −0.230352 | − | 0.0676376i | ||||
\(356\) | −11.4968 | − | 4.63014i | −0.609332 | − | 0.245397i | ||||
\(357\) | −14.7852 | − | 17.0631i | −0.782517 | − | 0.903073i | ||||
\(358\) | −10.9196 | − | 12.0368i | −0.577118 | − | 0.636166i | ||||
\(359\) | −3.15921 | + | 6.91770i | −0.166737 | + | 0.365102i | −0.974494 | − | 0.224412i | \(-0.927954\pi\) |
0.807758 | + | 0.589515i | \(0.200681\pi\) | |||||||
\(360\) | −2.52525 | + | 3.35170i | −0.133092 | + | 0.176650i | ||||
\(361\) | −50.2987 | + | 14.7690i | −2.64730 | + | 0.777318i | ||||
\(362\) | 5.00112 | − | 6.04435i | 0.262853 | − | 0.317684i | ||||
\(363\) | 9.84518 | − | 4.49614i | 0.516738 | − | 0.235986i | ||||
\(364\) | 1.11390 | − | 0.789755i | 0.0583845 | − | 0.0413944i | ||||
\(365\) | −6.11528 | − | 9.51556i | −0.320088 | − | 0.498067i | ||||
\(366\) | −2.57808 | − | 8.09367i | −0.134758 | − | 0.423063i | ||||
\(367\) | −23.3219 | −1.21739 | −0.608696 | − | 0.793403i | \(-0.708307\pi\) | ||||
−0.608696 | + | 0.793403i | \(0.708307\pi\) | |||||||
\(368\) | 13.4875 | + | 13.6414i | 0.703083 | + | 0.711108i | ||||
\(369\) | −1.60985 | −0.0838055 | ||||||||
\(370\) | −4.00780 | − | 12.5822i | −0.208356 | − | 0.654116i | ||||
\(371\) | −0.985180 | − | 1.53297i | −0.0511480 | − | 0.0795878i | ||||
\(372\) | 1.25868 | − | 0.892397i | 0.0652593 | − | 0.0462687i | ||||
\(373\) | 24.6022 | − | 11.2355i | 1.27385 | − | 0.581750i | 0.340344 | − | 0.940301i | \(-0.389456\pi\) |
0.933510 | + | 0.358551i | \(0.116729\pi\) | |||||||
\(374\) | 2.65582 | − | 3.20983i | 0.137329 | − | 0.165976i | ||||
\(375\) | 11.1021 | − | 3.25988i | 0.573311 | − | 0.168339i | ||||
\(376\) | −9.59284 | + | 12.7323i | −0.494713 | + | 0.656620i | ||||
\(377\) | 0.813663 | − | 1.78167i | 0.0419058 | − | 0.0917608i | ||||
\(378\) | 3.06165 | + | 3.37491i | 0.157474 | + | 0.173586i | ||||
\(379\) | 9.81466 | + | 11.3267i | 0.504145 | + | 0.581814i | 0.949590 | − | 0.313495i | \(-0.101500\pi\) |
−0.445445 | + | 0.895309i | \(0.646954\pi\) | |||||||
\(380\) | 23.2623 | + | 9.36845i | 1.19333 | + | 0.480591i | ||||
\(381\) | −6.60159 | − | 1.93840i | −0.338209 | − | 0.0993073i | ||||
\(382\) | 15.4049 | + | 22.8113i | 0.788183 | + | 1.16713i | ||||
\(383\) | −28.6513 | − | 18.4130i | −1.46401 | − | 0.940863i | −0.998439 | − | 0.0558529i | \(-0.982212\pi\) |
−0.465572 | − | 0.885010i | \(-0.654151\pi\) | |||||||
\(384\) | −10.3679 | − | 4.52851i | −0.529083 | − | 0.231094i | ||||
\(385\) | −1.98935 | − | 0.286026i | −0.101387 | − | 0.0145772i | ||||
\(386\) | −23.8932 | − | 2.88174i | −1.21613 | − | 0.146677i | ||||
\(387\) | −0.815448 | − | 5.67157i | −0.0414516 | − | 0.288302i | ||||
\(388\) | −10.4281 | + | 17.9764i | −0.529408 | + | 0.912615i | ||||
\(389\) | −12.4389 | − | 10.7784i | −0.630679 | − | 0.546486i | 0.279792 | − | 0.960061i | \(-0.409735\pi\) |
−0.910470 | + | 0.413575i | \(0.864280\pi\) | |||||||
\(390\) | 0.231793 | − | 0.379400i | 0.0117373 | − | 0.0192117i | ||||
\(391\) | −18.8792 | + | 27.8007i | −0.954761 | + | 1.40594i | ||||
\(392\) | −9.53878 | − | 0.711857i | −0.481781 | − | 0.0359542i | ||||
\(393\) | 9.36384 | − | 10.8064i | 0.472343 | − | 0.545113i | ||||
\(394\) | 0.484502 | + | 21.2744i | 0.0244088 | + | 1.07179i | ||||
\(395\) | −9.41405 | + | 1.35354i | −0.473672 | + | 0.0681038i | ||||
\(396\) | −0.521121 | + | 0.659857i | −0.0261873 | + | 0.0331591i | ||||
\(397\) | 1.61003 | − | 11.1980i | 0.0808049 | − | 0.562011i | −0.908693 | − | 0.417465i | \(-0.862919\pi\) |
0.989498 | − | 0.144546i | \(-0.0461721\pi\) | |||||||
\(398\) | 1.87941 | − | 6.98526i | 0.0942062 | − | 0.350139i | ||||
\(399\) | 14.7219 | − | 22.9077i | 0.737015 | − | 1.14682i | ||||
\(400\) | 5.55731 | + | 9.71779i | 0.277866 | + | 0.485889i | ||||
\(401\) | −1.22252 | + | 4.16352i | −0.0610498 | + | 0.207916i | −0.984369 | − | 0.176116i | \(-0.943647\pi\) |
0.923320 | + | 0.384032i | \(0.125465\pi\) | |||||||
\(402\) | 3.31446 | + | 19.8353i | 0.165310 | + | 0.989293i | ||||
\(403\) | −0.123540 | + | 0.107048i | −0.00615397 | + | 0.00533245i | ||||
\(404\) | 4.58342 | + | 24.0475i | 0.228034 | + | 1.19641i | ||||
\(405\) | 1.34962 | + | 0.616349i | 0.0670630 | + | 0.0306266i | ||||
\(406\) | −37.9065 | + | 18.3656i | −1.88127 | + | 0.911470i | ||||
\(407\) | −0.745402 | − | 2.53861i | −0.0369482 | − | 0.125834i | ||||
\(408\) | 4.27270 | − | 19.3532i | 0.211530 | − | 0.958125i | ||||
\(409\) | 16.5335 | + | 36.2033i | 0.817529 | + | 1.79014i | 0.570881 | + | 0.821033i | \(0.306602\pi\) |
0.246647 | + | 0.969105i | \(0.420671\pi\) | |||||||
\(410\) | 1.33290 | − | 3.10379i | 0.0658274 | − | 0.153285i | ||||
\(411\) | −13.8420 | + | 8.89569i | −0.682774 | + | 0.438792i | ||||
\(412\) | −2.27262 | − | 0.556291i | −0.111964 | − | 0.0274065i | ||||
\(413\) | 17.7095i | 0.871430i | ||||||||
\(414\) | 3.68154 | − | 5.69616i | 0.180938 | − | 0.279951i | ||||
\(415\) | − | 2.07577i | − | 0.101896i | ||||||
\(416\) | 1.13983 | + | 0.370844i | 0.0558847 | + | 0.0181821i | ||||
\(417\) | 17.1169 | − | 11.0003i | 0.838216 | − | 0.538689i | ||||
\(418\) | 4.61691 | + | 1.98271i | 0.225820 | + | 0.0969773i | ||||
\(419\) | −3.59136 | − | 7.86398i | −0.175449 | − | 0.384180i | 0.801394 | − | 0.598137i | \(-0.204092\pi\) |
−0.976843 | + | 0.213957i | \(0.931365\pi\) | |||||||
\(420\) | −9.04175 | + | 3.10854i | −0.441192 | + | 0.151681i | ||||
\(421\) | 3.92877 | + | 13.3801i | 0.191476 | + | 0.652108i | 0.998132 | + | 0.0610874i | \(0.0194568\pi\) |
−0.806656 | + | 0.591021i | \(0.798725\pi\) | |||||||
\(422\) | −4.28513 | − | 8.84448i | −0.208597 | − | 0.430543i | ||||
\(423\) | 5.12688 | + | 2.34137i | 0.249277 | + | 0.113841i | ||||
\(424\) | 0.563635 | − | 1.49702i | 0.0273725 | − | 0.0727018i | ||||
\(425\) | −14.8207 | + | 12.8422i | −0.718909 | + | 0.622938i | ||||
\(426\) | −4.25261 | + | 0.710609i | −0.206040 | + | 0.0344291i | ||||
\(427\) | 5.45243 | − | 18.5693i | 0.263861 | − | 0.898629i | ||||
\(428\) | −7.29618 | + | 0.332498i | −0.352674 | + | 0.0160719i | ||||
\(429\) | 0.0481610 | − | 0.0749399i | 0.00232523 | − | 0.00361813i | ||||
\(430\) | 11.6099 | + | 3.12369i | 0.559880 | + | 0.150638i | ||||
\(431\) | −1.89714 | + | 13.1949i | −0.0913822 | + | 0.635577i | 0.891729 | + | 0.452569i | \(0.149492\pi\) |
−0.983111 | + | 0.183008i | \(0.941417\pi\) | |||||||
\(432\) | −0.773179 | + | 3.92456i | −0.0371996 | + | 0.188821i | ||||
\(433\) | 1.11974 | − | 0.160994i | 0.0538112 | − | 0.00773689i | −0.115357 | − | 0.993324i | \(-0.536801\pi\) |
0.169168 | + | 0.985587i | \(0.445892\pi\) | |||||||
\(434\) | 3.51444 | − | 0.0800378i | 0.168699 | − | 0.00384194i | ||||
\(435\) | −8.98136 | + | 10.3650i | −0.430623 | + | 0.496966i | ||||
\(436\) | 21.1960 | − | 10.8721i | 1.01510 | − | 0.520678i | ||||
\(437\) | −38.5866 | − | 12.4010i | −1.84585 | − | 0.593218i | ||||
\(438\) | −9.20031 | − | 5.62089i | −0.439608 | − | 0.268576i | ||||
\(439\) | 0.0251059 | + | 0.0217544i | 0.00119824 | + | 0.00103828i | 0.655460 | − | 0.755230i | \(-0.272475\pi\) |
−0.654261 | + | 0.756268i | \(0.727020\pi\) | |||||||
\(440\) | −0.840731 | − | 1.55106i | −0.0400803 | − | 0.0739438i | ||||
\(441\) | 0.481287 | + | 3.34742i | 0.0229184 | + | 0.159401i | ||||
\(442\) | −0.251429 | + | 2.08465i | −0.0119593 | + | 0.0991569i | ||||
\(443\) | −8.60265 | − | 1.23687i | −0.408724 | − | 0.0587657i | −0.0651135 | − | 0.997878i | \(-0.520741\pi\) |
−0.343611 | + | 0.939112i | \(0.611650\pi\) | |||||||
\(444\) | −8.66701 | − | 9.12727i | −0.411318 | − | 0.433161i | ||||
\(445\) | −7.73498 | − | 4.97097i | −0.366673 | − | 0.235647i | ||||
\(446\) | −15.3534 | + | 10.3684i | −0.727004 | + | 0.490960i | ||||
\(447\) | −15.1326 | − | 4.44334i | −0.715749 | − | 0.210163i | ||||
\(448\) | −13.8017 | − | 21.7704i | −0.652068 | − | 1.02856i | ||||
\(449\) | −25.8794 | − | 29.8664i | −1.22132 | − | 1.40948i | −0.883603 | − | 0.468238i | \(-0.844889\pi\) |
−0.337722 | − | 0.941246i | \(-0.609656\pi\) | |||||||
\(450\) | 2.93139 | − | 2.65930i | 0.138187 | − | 0.125361i | ||||
\(451\) | 0.281152 | − | 0.615637i | 0.0132389 | − | 0.0289892i | ||||
\(452\) | −6.52723 | − | 0.636845i | −0.307015 | − | 0.0299547i | ||||
\(453\) | −13.4945 | + | 3.96235i | −0.634028 | + | 0.186167i | ||||
\(454\) | −0.672642 | − | 0.556546i | −0.0315686 | − | 0.0261200i | ||||
\(455\) | 0.921427 | − | 0.420802i | 0.0431972 | − | 0.0197275i | ||||
\(456\) | 23.8478 | − | 1.63158i | 1.11677 | − | 0.0764057i | ||||
\(457\) | 2.78385 | + | 4.33175i | 0.130223 | + | 0.202631i | 0.900242 | − | 0.435390i | \(-0.143390\pi\) |
−0.770019 | + | 0.638021i | \(0.779753\pi\) | |||||||
\(458\) | −24.8351 | + | 7.91074i | −1.16047 | + | 0.369645i | ||||
\(459\) | −7.00715 | −0.327066 | ||||||||
\(460\) | 7.93399 | + | 11.8142i | 0.369924 | + | 0.550841i | ||||
\(461\) | 13.5417 | 0.630699 | 0.315350 | − | 0.948976i | \(-0.397878\pi\) | ||||
0.315350 | + | 0.948976i | \(0.397878\pi\) | |||||||
\(462\) | −1.82533 | + | 0.581422i | −0.0849219 | + | 0.0270502i | ||||
\(463\) | 22.4859 | + | 34.9888i | 1.04501 | + | 1.62607i | 0.738573 | + | 0.674174i | \(0.235500\pi\) |
0.306436 | + | 0.951891i | \(0.400863\pi\) | |||||||
\(464\) | −32.7947 | − | 17.0782i | −1.52245 | − | 0.792835i | ||||
\(465\) | 1.04118 | − | 0.475492i | 0.0482837 | − | 0.0220504i | ||||
\(466\) | 27.9778 | + | 23.1489i | 1.29605 | + | 1.07235i | ||||
\(467\) | 20.6008 | − | 6.04896i | 0.953294 | − | 0.279912i | 0.232136 | − | 0.972683i | \(-0.425429\pi\) |
0.721158 | + | 0.692771i | \(0.243610\pi\) | |||||||
\(468\) | 0.0411520 | − | 0.421780i | 0.00190225 | − | 0.0194968i | ||||
\(469\) | −19.0337 | + | 41.6779i | −0.878893 | + | 1.92451i | ||||
\(470\) | −8.75903 | + | 7.94603i | −0.404024 | + | 0.366523i | ||||
\(471\) | −7.41367 | − | 8.55583i | −0.341604 | − | 0.394232i | ||||
\(472\) | −12.4738 | + | 9.27780i | −0.574155 | + | 0.427045i | ||||
\(473\) | 2.31133 | + | 0.678666i | 0.106275 | + | 0.0312051i | ||||
\(474\) | −7.51279 | + | 5.07353i | −0.345074 | + | 0.233035i | ||||
\(475\) | −19.8972 | − | 12.7872i | −0.912947 | − | 0.586715i | ||||
\(476\) | 32.7446 | − | 31.0934i | 1.50084 | − | 1.42516i | ||||
\(477\) | −0.559791 | − | 0.0804859i | −0.0256311 | − | 0.00368519i | ||||
\(478\) | −1.58351 | + | 13.1292i | −0.0724279 | + | 0.600516i | ||||
\(479\) | −2.67014 | − | 18.5712i | −0.122002 | − | 0.848542i | −0.955283 | − | 0.295692i | \(-0.904450\pi\) |
0.833281 | − | 0.552849i | \(-0.186459\pi\) | |||||||
\(480\) | −6.92638 | − | 4.74010i | −0.316144 | − | 0.216355i | ||||
\(481\) | 1.00779 | + | 0.873259i | 0.0459515 | + | 0.0398172i | ||||
\(482\) | 10.5446 | + | 6.44216i | 0.480292 | + | 0.293432i | ||||
\(483\) | 14.2144 | − | 6.06082i | 0.646777 | − | 0.275777i | ||||
\(484\) | 9.87935 | + | 19.2606i | 0.449061 | + | 0.875481i | ||||
\(485\) | −10.0961 | + | 11.6515i | −0.458441 | + | 0.529069i | ||||
\(486\) | 1.41385 | − | 0.0321989i | 0.0641334 | − | 0.00146057i | ||||
\(487\) | 11.3069 | − | 1.62569i | 0.512365 | − | 0.0736670i | 0.118717 | − | 0.992928i | \(-0.462122\pi\) |
0.393648 | + | 0.919261i | \(0.371213\pi\) | |||||||
\(488\) | 15.9358 | − | 5.88774i | 0.721381 | − | 0.266525i | ||||
\(489\) | −1.03836 | + | 7.22193i | −0.0469561 | + | 0.326587i | ||||
\(490\) | −6.85231 | − | 1.84364i | −0.309556 | − | 0.0832870i | ||||
\(491\) | 2.40583 | − | 3.74354i | 0.108574 | − | 0.168944i | −0.782715 | − | 0.622380i | \(-0.786166\pi\) |
0.891289 | + | 0.453437i | \(0.149802\pi\) | |||||||
\(492\) | −0.146575 | − | 3.21636i | −0.00660810 | − | 0.145005i | ||||
\(493\) | 18.2485 | − | 62.1487i | 0.821872 | − | 2.79904i | ||||
\(494\) | −2.49784 | + | 0.417388i | −0.112383 | + | 0.0187792i | ||||
\(495\) | −0.471406 | + | 0.408476i | −0.0211881 | + | 0.0183596i | ||||
\(496\) | 1.89755 | + | 2.43349i | 0.0852023 | + | 0.109267i | ||||
\(497\) | −8.93560 | − | 4.08075i | −0.400816 | − | 0.183047i | ||||
\(498\) | −0.862690 | − | 1.78059i | −0.0386581 | − | 0.0797900i | ||||
\(499\) | 6.11291 | + | 20.8187i | 0.273651 | + | 0.931971i | 0.975565 | + | 0.219709i | \(0.0705109\pi\) |
−0.701914 | + | 0.712262i | \(0.747671\pi\) | |||||||
\(500\) | 7.52382 | + | 21.8844i | 0.336476 | + | 0.978700i | ||||
\(501\) | 6.26625 | + | 13.7212i | 0.279955 | + | 0.613016i | ||||
\(502\) | 15.0309 | + | 6.45495i | 0.670864 | + | 0.288099i | ||||
\(503\) | 31.7611 | − | 20.4116i | 1.41616 | − | 0.910110i | 0.416159 | − | 0.909292i | \(-0.363376\pi\) |
1.00000 | 0.000818457i | \(-0.000260523\pi\) | ||||||||
\(504\) | −6.46405 | + | 6.42423i | −0.287932 | + | 0.286158i | ||||
\(505\) | 18.1607i | 0.808141i | ||||||||
\(506\) | 1.53536 | + | 2.40269i | 0.0682549 | + | 0.106813i | ||||
\(507\) | − | 12.9551i | − | 0.575356i | ||||||
\(508\) | 3.27172 | − | 13.3660i | 0.145159 | − | 0.593019i | ||||
\(509\) | 20.5188 | − | 13.1866i | 0.909480 | − | 0.584488i | −0.000107059 | − | 1.00000i | \(-0.500034\pi\) |
0.909588 | + | 0.415512i | \(0.136398\pi\) | |||||||
\(510\) | 5.80169 | − | 13.5098i | 0.256903 | − | 0.598222i | ||||
\(511\) | −10.2043 | − | 22.3443i | −0.451411 | − | 0.988452i | ||||
\(512\) | 8.10365 | − | 21.1265i | 0.358134 | − | 0.933670i | ||||
\(513\) | −2.38097 | − | 8.10883i | −0.105122 | − | 0.358014i | ||||
\(514\) | −29.6068 | + | 14.3444i | −1.30590 | + | 0.632705i | ||||
\(515\) | −1.57886 | − | 0.721040i | −0.0695727 | − | 0.0317728i | ||||
\(516\) | 11.2571 | − | 2.14559i | 0.495567 | − | 0.0944545i | ||||
\(517\) | −1.79076 | + | 1.55171i | −0.0787577 | + | 0.0682439i | ||||
\(518\) | −4.72637 | − | 28.2848i | −0.207665 | − | 1.24276i | ||||
\(519\) | 0.323329 | − | 1.10116i | 0.0141926 | − | 0.0483355i | ||||
\(520\) | 0.779118 | + | 0.428561i | 0.0341666 | + | 0.0187936i | ||||
\(521\) | 0.475184 | − | 0.739400i | 0.0208182 | − | 0.0323937i | −0.830689 | − | 0.556737i | \(-0.812053\pi\) |
0.851507 | + | 0.524344i | \(0.175689\pi\) | |||||||
\(522\) | −3.39645 | + | 12.6237i | −0.148659 | + | 0.552525i | ||||
\(523\) | 5.51944 | − | 38.3886i | 0.241348 | − | 1.67861i | −0.404026 | − | 0.914748i | \(-0.632389\pi\) |
0.645374 | − | 0.763867i | \(-0.276702\pi\) | |||||||
\(524\) | 22.4431 | + | 17.7244i | 0.980429 | + | 0.774292i | ||||
\(525\) | 8.92571 | − | 1.28332i | 0.389550 | − | 0.0560088i | ||||
\(526\) | 0.186945 | + | 8.20870i | 0.00815117 | + | 0.357916i | ||||
\(527\) | −3.54003 | + | 4.08542i | −0.154206 | + | 0.177964i | ||||
\(528\) | −1.36579 | − | 0.981082i | −0.0594385 | − | 0.0426961i | ||||
\(529\) | −14.1614 | − | 18.1233i | −0.615712 | − | 0.787971i | ||||
\(530\) | 0.618665 | − | 1.01264i | 0.0268731 | − | 0.0439861i | ||||
\(531\) | 4.15382 | + | 3.59931i | 0.180261 | + | 0.156197i | ||||
\(532\) | 47.1082 | + | 27.3275i | 2.04240 | + | 1.18480i | ||||
\(533\) | 0.0485456 | + | 0.337642i | 0.00210274 | + | 0.0146249i | ||||
\(534\) | −8.70095 | − | 1.04942i | −0.376527 | − | 0.0454127i | ||||
\(535\) | −5.36312 | − | 0.771100i | −0.231868 | − | 0.0333375i | ||||
\(536\) | −39.3276 | + | 8.42802i | −1.69869 | + | 0.364035i | ||||
\(537\) | −9.66751 | − | 6.21293i | −0.417184 | − | 0.268108i | ||||
\(538\) | −14.9604 | − | 22.1531i | −0.644988 | − | 0.955087i | ||||
\(539\) | −1.36417 | − | 0.400557i | −0.0587590 | − | 0.0172532i | ||||
\(540\) | −1.10854 | + | 2.75255i | −0.0477039 | + | 0.118451i | ||||
\(541\) | 20.6782 | + | 23.8639i | 0.889026 | + | 1.02599i | 0.999484 | + | 0.0321097i | \(0.0102226\pi\) |
−0.110459 | + | 0.993881i | \(0.535232\pi\) | |||||||
\(542\) | 8.32799 | + | 9.18008i | 0.357718 | + | 0.394318i | ||||
\(543\) | 2.30444 | − | 5.04601i | 0.0988928 | − | 0.216545i | ||||
\(544\) | 39.0553 | + | 6.77445i | 1.67448 | + | 0.290452i | ||||
\(545\) | 16.9562 | − | 4.97879i | 0.726324 | − | 0.213268i | ||||
\(546\) | 0.615510 | − | 0.743906i | 0.0263414 | − | 0.0318362i | ||||
\(547\) | −24.7536 | + | 11.3046i | −1.05839 | + | 0.483348i | −0.867073 | − | 0.498181i | \(-0.834002\pi\) |
−0.191312 | + | 0.981529i | \(0.561274\pi\) | |||||||
\(548\) | −19.0332 | − | 26.8453i | −0.813059 | − | 1.14677i | ||||
\(549\) | −3.24731 | − | 5.05292i | −0.138592 | − | 0.215653i | ||||
\(550\) | 0.505014 | + | 1.58545i | 0.0215338 | + | 0.0676037i | ||||
\(551\) | 78.1206 | 3.32805 | ||||||||
\(552\) | 11.7157 | + | 6.83682i | 0.498654 | + | 0.290994i | ||||
\(553\) | −20.6544 | −0.878314 | ||||||||
\(554\) | 12.5343 | + | 39.3505i | 0.532533 | + | 1.67184i | ||||
\(555\) | −5.04817 | − | 7.85510i | −0.214283 | − | 0.333431i | ||||
\(556\) | 23.5363 | + | 33.1967i | 0.998163 | + | 1.40785i | ||||
\(557\) | 10.3209 | − | 4.71342i | 0.437312 | − | 0.199714i | −0.184579 | − | 0.982818i | \(-0.559092\pi\) |
0.621891 | + | 0.783104i | \(0.286365\pi\) | |||||||
\(558\) | 0.695506 | − | 0.840589i | 0.0294431 | − | 0.0355850i | ||||
\(559\) | −1.16493 | + | 0.342056i | −0.0492715 | + | 0.0144674i | ||||
\(560\) | −7.03387 | − | 17.7817i | −0.297235 | − | 0.751415i | ||||
\(561\) | 1.22376 | − | 2.67966i | 0.0516673 | − | 0.113136i | ||||
\(562\) | −16.4521 | − | 18.1354i | −0.693991 | − | 0.764998i | ||||
\(563\) | 5.16884 | + | 5.96516i | 0.217841 | + | 0.251402i | 0.854143 | − | 0.520038i | \(-0.174082\pi\) |
−0.636302 | + | 0.771440i | \(0.719537\pi\) | |||||||
\(564\) | −4.21108 | + | 10.4563i | −0.177319 | + | 0.440290i | ||||
\(565\) | −4.66813 | − | 1.37069i | −0.196390 | − | 0.0576652i | ||||
\(566\) | 7.73495 | + | 11.4538i | 0.325124 | + | 0.481438i | ||||
\(567\) | 2.71059 | + | 1.74199i | 0.113834 | + | 0.0731568i | ||||
\(568\) | −1.80694 | − | 8.43170i | −0.0758174 | − | 0.353786i | ||||
\(569\) | −1.96863 | − | 0.283046i | −0.0825292 | − | 0.0118659i | 0.100927 | − | 0.994894i | \(-0.467819\pi\) |
−0.183456 | + | 0.983028i | \(0.558728\pi\) | |||||||
\(570\) | 17.6052 | + | 2.12335i | 0.737399 | + | 0.0889373i | ||||
\(571\) | −3.99551 | − | 27.7894i | −0.167207 | − | 1.16295i | −0.884624 | − | 0.466306i | \(-0.845585\pi\) |
0.717417 | − | 0.696644i | \(-0.245324\pi\) | |||||||
\(572\) | 0.154109 | + | 0.0893989i | 0.00644364 | + | 0.00373796i | ||||
\(573\) | 14.7096 | + | 12.7460i | 0.614504 | + | 0.532470i | ||||
\(574\) | 3.82441 | − | 6.25983i | 0.159628 | − | 0.261280i | ||||
\(575\) | −5.26433 | − | 12.3464i | −0.219538 | − | 0.514880i | ||||
\(576\) | −7.91138 | − | 1.18743i | −0.329641 | − | 0.0494762i | ||||
\(577\) | 16.9846 | − | 19.6012i | 0.707077 | − | 0.816011i | −0.282613 | − | 0.959234i | \(-0.591201\pi\) |
0.989690 | + | 0.143223i | \(0.0457467\pi\) | |||||||
\(578\) | 1.03359 | + | 45.3848i | 0.0429917 | + | 1.88776i | ||||
\(579\) | −16.8443 | + | 2.42184i | −0.700024 | + | 0.100648i | ||||
\(580\) | −21.5263 | − | 17.0004i | −0.893832 | − | 0.705902i | ||||
\(581\) | 0.641539 | − | 4.46200i | 0.0266155 | − | 0.185115i | ||||
\(582\) | −3.81801 | + | 14.1905i | −0.158262 | + | 0.588217i | ||||
\(583\) | 0.128544 | − | 0.200018i | 0.00532374 | − | 0.00828390i | ||||
\(584\) | 10.3924 | − | 18.8933i | 0.430042 | − | 0.781811i | ||||
\(585\) | 0.0885717 | − | 0.301648i | 0.00366199 | − | 0.0124716i | ||||
\(586\) | −6.81259 | − | 40.7697i | −0.281426 | − | 1.68418i | ||||
\(587\) | 6.29180 | − | 5.45187i | 0.259690 | − | 0.225023i | −0.515278 | − | 0.857023i | \(-0.672311\pi\) |
0.774968 | + | 0.632000i | \(0.217766\pi\) | |||||||
\(588\) | −6.64409 | + | 1.26635i | −0.273998 | + | 0.0522236i | ||||
\(589\) | −5.93061 | − | 2.70842i | −0.244366 | − | 0.111598i | ||||
\(590\) | −10.3787 | + | 5.02845i | −0.427283 | + | 0.207018i | ||||
\(591\) | 4.23927 | + | 14.4376i | 0.174380 | + | 0.593885i | ||||
\(592\) | 17.4465 | − | 18.1471i | 0.717046 | − | 0.745840i | ||||
\(593\) | −13.0217 | − | 28.5135i | −0.534737 | − | 1.17091i | −0.963553 | − | 0.267518i | \(-0.913797\pi\) |
0.428816 | − | 0.903392i | \(-0.358931\pi\) | |||||||
\(594\) | −0.234607 | + | 0.546304i | −0.00962605 | + | 0.0224151i | ||||
\(595\) | 28.1806 | − | 18.1106i | 1.15529 | − | 0.742461i | ||||
\(596\) | 7.49966 | − | 30.6384i | 0.307198 | − | 1.25500i | ||||
\(597\) | − | 5.11498i | − | 0.209342i | ||||||
\(598\) | −1.30570 | − | 0.600377i | −0.0533941 | − | 0.0245512i | ||||
\(599\) | − | 14.8085i | − | 0.605058i | −0.953140 | − | 0.302529i | \(-0.902169\pi\) | ||
0.953140 | − | 0.302529i | \(-0.0978309\pi\) | |||||||
\(600\) | 5.57998 | + | 5.61457i | 0.227802 | + | 0.229214i | ||||
\(601\) | 5.40998 | − | 3.47678i | 0.220678 | − | 0.141821i | −0.425632 | − | 0.904897i | \(-0.639948\pi\) |
0.646309 | + | 0.763076i | \(0.276312\pi\) | |||||||
\(602\) | 23.9908 | + | 10.3027i | 0.977793 | + | 0.419908i | ||||
\(603\) | 5.90725 | + | 12.9351i | 0.240562 | + | 0.526757i | ||||
\(604\) | −9.14514 | − | 26.6003i | −0.372111 | − | 1.08235i | ||||
\(605\) | 4.52418 | + | 15.4079i | 0.183934 | + | 0.626421i | ||||
\(606\) | 7.54758 | + | 15.5782i | 0.306599 | + | 0.632819i | ||||
\(607\) | 9.45975 | + | 4.32012i | 0.383959 | + | 0.175348i | 0.598037 | − | 0.801468i | \(-0.295947\pi\) |
−0.214078 | + | 0.976817i | \(0.568675\pi\) | |||||||
\(608\) | 5.43108 | + | 47.4975i | 0.220259 | + | 1.92628i | ||||
\(609\) | −22.5094 | + | 19.5045i | −0.912127 | + | 0.790363i | ||||
\(610\) | 12.4307 | − | 2.07716i | 0.503303 | − | 0.0841017i | ||||
\(611\) | 0.336463 | − | 1.14589i | 0.0136119 | − | 0.0463577i | ||||
\(612\) | −0.637992 | − | 13.9998i | −0.0257893 | − | 0.565907i | ||||
\(613\) | −13.5362 | + | 21.0627i | −0.546721 | + | 0.850715i | −0.999156 | − | 0.0410825i | \(-0.986919\pi\) |
0.452434 | + | 0.891798i | \(0.350556\pi\) | |||||||
\(614\) | 29.4832 | + | 7.93256i | 1.18985 | + | 0.320132i | ||||
\(615\) | 0.339923 | − | 2.36422i | 0.0137070 | − | 0.0953344i | ||||
\(616\) | −1.32783 | − | 3.59393i | −0.0534999 | − | 0.144804i | ||||
\(617\) | −37.3485 | + | 5.36990i | −1.50359 | + | 0.216184i | −0.844369 | − | 0.535763i | \(-0.820024\pi\) |
−0.659224 | + | 0.751947i | \(0.729115\pi\) | |||||||
\(618\) | −1.65400 | + | 0.0376681i | −0.0665335 | + | 0.00151523i | ||||
\(619\) | 21.3689 | − | 24.6611i | 0.858890 | − | 0.991212i | −0.141109 | − | 0.989994i | \(-0.545067\pi\) |
0.999999 | − | 0.00121769i | \(-0.000387602\pi\) | |||||||
\(620\) | 1.04480 | + | 2.03691i | 0.0419600 | + | 0.0818044i | ||||
\(621\) | 1.46737 | − | 4.56583i | 0.0588834 | − | 0.183221i | ||||
\(622\) | −0.605002 | − | 0.369623i | −0.0242584 | − | 0.0148205i | ||||
\(623\) | −15.0905 | − | 13.0760i | −0.604587 | − | 0.523878i | ||||
\(624\) | 0.846433 | + | 0.0438162i | 0.0338844 | + | 0.00175405i | ||||
\(625\) | 0.451750 | + | 3.14199i | 0.0180700 | + | 0.125680i | ||||
\(626\) | −2.22435 | + | 18.4426i | −0.0889028 | + | 0.737113i | ||||
\(627\) | 3.51679 | + | 0.505638i | 0.140447 | + | 0.0201932i | ||||
\(628\) | 16.4189 | − | 15.5910i | 0.655186 | − | 0.622147i | ||||
\(629\) | 37.0979 | + | 23.8414i | 1.47919 | + | 0.950617i | ||||
\(630\) | −5.60283 | + | 3.78370i | −0.223222 | + | 0.150746i | ||||
\(631\) | −26.8111 | − | 7.87246i | −1.06733 | − | 0.313398i | −0.299533 | − | 0.954086i | \(-0.596831\pi\) |
−0.767801 | + | 0.640688i | \(0.778649\pi\) | |||||||
\(632\) | −10.8206 | − | 14.5481i | −0.430419 | − | 0.578691i | ||||
\(633\) | −4.55086 | − | 5.25198i | −0.180881 | − | 0.208747i | ||||
\(634\) | −2.62738 | + | 2.38351i | −0.104347 | + | 0.0946612i | ||||
\(635\) | 4.24066 | − | 9.28574i | 0.168285 | − | 0.368494i | ||||
\(636\) | 0.109837 | − | 1.12575i | 0.00435530 | − | 0.0446389i | ||||
\(637\) | 0.687558 | − | 0.201885i | 0.0272420 | − | 0.00799898i | ||||
\(638\) | −4.23437 | − | 3.50353i | −0.167640 | − | 0.138706i | ||||
\(639\) | −2.77323 | + | 1.26649i | −0.109707 | + | 0.0501017i | ||||
\(640\) | 8.83973 | − | 14.2700i | 0.349421 | − | 0.564070i | ||||
\(641\) | 10.4014 | + | 16.1849i | 0.410830 | + | 0.639264i | 0.983581 | − | 0.180465i | \(-0.0577603\pi\) |
−0.572751 | + | 0.819729i | \(0.694124\pi\) | |||||||
\(642\) | −4.92092 | + | 1.56746i | −0.194213 | + | 0.0618628i | ||||
\(643\) | −12.2687 | −0.483832 | −0.241916 | − | 0.970297i | \(-0.577776\pi\) | ||||
−0.241916 | + | 0.970297i | \(0.577776\pi\) | |||||||
\(644\) | 13.4033 | + | 27.8475i | 0.528163 | + | 1.09734i | ||||
\(645\) | 8.50140 | 0.334742 | ||||||||
\(646\) | −79.7974 | + | 25.4179i | −3.13959 | + | 1.00005i | ||||
\(647\) | −10.6715 | − | 16.6052i | −0.419540 | − | 0.652817i | 0.565578 | − | 0.824695i | \(-0.308653\pi\) |
−0.985118 | + | 0.171878i | \(0.945017\pi\) | |||||||
\(648\) | 0.193060 | + | 2.82183i | 0.00758411 | + | 0.110852i | ||||
\(649\) | −2.10188 | + | 0.959898i | −0.0825062 | + | 0.0376793i | ||||
\(650\) | −0.646144 | − | 0.534622i | −0.0253438 | − | 0.0209696i | ||||
\(651\) | 2.38504 | − | 0.700311i | 0.0934771 | − | 0.0274474i | ||||
\(652\) | −14.5234 | − | 1.41701i | −0.568781 | − | 0.0554945i | ||||
\(653\) | 1.31973 | − | 2.88980i | 0.0516450 | − | 0.113087i | −0.882050 | − | 0.471155i | \(-0.843837\pi\) |
0.933695 | + | 0.358068i | \(0.116565\pi\) | |||||||
\(654\) | 12.4757 | − | 11.3178i | 0.487840 | − | 0.442560i | ||||
\(655\) | 13.8931 | + | 16.0335i | 0.542848 | + | 0.626479i | ||||
\(656\) | 6.41272 | − | 0.585691i | 0.250374 | − | 0.0228674i | ||||
\(657\) | −7.31484 | − | 2.14783i | −0.285379 | − | 0.0837949i | ||||
\(658\) | −21.2839 | + | 14.3734i | −0.829732 | + | 0.560334i | ||||
\(659\) | −18.1974 | − | 11.6947i | −0.708868 | − | 0.455562i | 0.135880 | − | 0.990725i | \(-0.456614\pi\) |
−0.844749 | + | 0.535163i | \(0.820250\pi\) | |||||||
\(660\) | −0.859026 | − | 0.904644i | −0.0334375 | − | 0.0352132i | ||||
\(661\) | −7.61477 | − | 1.09484i | −0.296180 | − | 0.0425843i | −0.00737710 | − | 0.999973i | \(-0.502348\pi\) |
−0.288803 | + | 0.957388i | \(0.593257\pi\) | |||||||
\(662\) | 0.500731 | − | 4.15167i | 0.0194614 | − | 0.161359i | ||||
\(663\) | 0.211303 | + | 1.46964i | 0.00820632 | + | 0.0570762i | ||||
\(664\) | 3.47893 | − | 1.88571i | 0.135009 | − | 0.0731798i | ||||
\(665\) | 30.5335 | + | 26.4574i | 1.18404 | + | 1.02597i | ||||
\(666\) | −7.59487 | − | 4.64005i | −0.294295 | − | 0.179798i | ||||
\(667\) | 36.6744 | + | 24.9052i | 1.42004 | + | 0.964333i | ||||
\(668\) | −26.8433 | + | 13.7688i | −1.03860 | + | 0.532730i | ||||
\(669\) | −8.57882 | + | 9.90048i | −0.331676 | + | 0.382775i | ||||
\(670\) | −29.8298 | + | 0.679342i | −1.15242 | + | 0.0262453i | ||||
\(671\) | 2.49945 | − | 0.359367i | 0.0964904 | − | 0.0138732i | ||||
\(672\) | −13.4237 | − | 12.3298i | −0.517830 | − | 0.475632i | ||||
\(673\) | 1.87074 | − | 13.0113i | 0.0721117 | − | 0.501548i | −0.921472 | − | 0.388446i | \(-0.873012\pi\) |
0.993583 | − | 0.113102i | \(-0.0360787\pi\) | |||||||
\(674\) | 30.9097 | + | 8.31636i | 1.19060 | + | 0.320334i | ||||
\(675\) | 1.51306 | − | 2.35437i | 0.0582379 | − | 0.0906199i | ||||
\(676\) | 25.8833 | − | 1.17954i | 0.995513 | − | 0.0453671i | ||||
\(677\) | −6.27134 | + | 21.3582i | −0.241027 | + | 0.820863i | 0.746765 | + | 0.665088i | \(0.231606\pi\) |
−0.987792 | + | 0.155776i | \(0.950212\pi\) | |||||||
\(678\) | −4.57395 | + | 0.764304i | −0.175661 | + | 0.0293529i | ||||
\(679\) | −25.3032 | + | 21.9254i | −0.971048 | + | 0.841418i | ||||
\(680\) | 27.5198 | + | 10.3613i | 1.05533 | + | 0.397338i | ||||
\(681\) | −0.561542 | − | 0.256448i | −0.0215184 | − | 0.00982710i | ||||
\(682\) | 0.199990 | + | 0.412779i | 0.00765803 | + | 0.0158061i | ||||
\(683\) | 8.23813 | + | 28.0565i | 0.315223 | + | 1.07355i | 0.952909 | + | 0.303255i | \(0.0980735\pi\) |
−0.637686 | + | 0.770296i | \(0.720108\pi\) | |||||||
\(684\) | 15.9841 | − | 5.49530i | 0.611166 | − | 0.210118i | ||||
\(685\) | −10.1414 | − | 22.2065i | −0.387483 | − | 0.848469i | ||||
\(686\) | 15.1491 | + | 6.50568i | 0.578394 | + | 0.248388i | ||||
\(687\) | −15.5047 | + | 9.96426i | −0.591541 | + | 0.380160i | ||||
\(688\) | 5.31168 | + | 22.2956i | 0.202506 | + | 0.850010i | ||||
\(689\) | 0.119835i | 0.00456534i | ||||||||
\(690\) | 7.58798 | + | 6.60944i | 0.288869 | + | 0.251617i | ||||
\(691\) | − | 26.9931i | − | 1.02687i | −0.858130 | − | 0.513433i | \(-0.828373\pi\) | ||
0.858130 | − | 0.513433i | \(-0.171627\pi\) | |||||||
\(692\) | 2.22947 | + | 0.545729i | 0.0847517 | + | 0.0207455i | ||||
\(693\) | −1.13956 | + | 0.732351i | −0.0432883 | + | 0.0278197i | ||||
\(694\) | 8.72051 | − | 20.3065i | 0.331026 | − | 0.770824i | ||||
\(695\) | 12.5408 | + | 27.4604i | 0.475698 | + | 1.04163i | ||||
\(696\) | −25.5305 | − | 5.63649i | −0.967731 | − | 0.213651i | ||||
\(697\) | 3.17808 | + | 10.8235i | 0.120378 | + | 0.409971i | ||||
\(698\) | 22.6269 | − | 10.9627i | 0.856441 | − | 0.414944i | ||||
\(699\) | 23.3568 | + | 10.6667i | 0.883434 | + | 0.403451i | ||||
\(700\) | 3.37666 | + | 17.7161i | 0.127626 | + | 0.669605i | ||||
\(701\) | 12.0428 | − | 10.4352i | 0.454851 | − | 0.394131i | −0.397080 | − | 0.917784i | \(-0.629977\pi\) |
0.851932 | + | 0.523653i | \(0.175431\pi\) | |||||||
\(702\) | −0.0493882 | − | 0.295562i | −0.00186404 | − | 0.0111553i | ||||
\(703\) | −14.9842 | + | 51.0316i | −0.565141 | + | 1.92469i | ||||
\(704\) | 1.83578 | − | 2.81808i | 0.0691884 | − | 0.106210i | ||||
\(705\) | −4.52106 | + | 7.03491i | −0.170273 | + | 0.264950i | ||||
\(706\) | −2.99198 | + | 11.1204i | −0.112604 | + | 0.418521i | ||||
\(707\) | −5.61275 | + | 39.0375i | −0.211089 | + | 1.46816i | ||||
\(708\) | −6.81295 | + | 8.62674i | −0.256046 | + | 0.324213i | ||||
\(709\) | −48.6250 | + | 6.99121i | −1.82615 | + | 0.262561i | −0.968020 | − | 0.250874i | \(-0.919282\pi\) |
−0.858129 | + | 0.513434i | \(0.828373\pi\) | |||||||
\(710\) | −0.145649 | − | 6.39540i | −0.00546609 | − | 0.240015i | ||||
\(711\) | −4.19782 | + | 4.84455i | −0.157431 | + | 0.181685i | ||||
\(712\) | 1.30445 | − | 17.4794i | 0.0488863 | − | 0.655069i | ||||
\(713\) | −1.92072 | − | 3.16220i | −0.0719317 | − | 0.118425i | ||||
\(714\) | 16.6464 | − | 27.2470i | 0.622976 | − | 1.01969i | ||||
\(715\) | 0.0998870 | + | 0.0865526i | 0.00373556 | + | 0.00323688i | ||||
\(716\) | 11.5328 | − | 19.8807i | 0.431000 | − | 0.742975i | ||||
\(717\) | 1.33079 | + | 9.25585i | 0.0496993 | + | 0.345666i | ||||
\(718\) | −10.6776 | − | 1.28782i | −0.398486 | − | 0.0480611i | ||||
\(719\) | −20.3094 | − | 2.92006i | −0.757414 | − | 0.108900i | −0.247220 | − | 0.968959i | \(-0.579517\pi\) |
−0.510194 | + | 0.860060i | \(0.670426\pi\) | |||||||
\(720\) | −5.60033 | − | 1.96416i | −0.208712 | − | 0.0732001i | ||||
\(721\) | −3.17100 | − | 2.03788i | −0.118094 | − | 0.0758946i | ||||
\(722\) | −41.4906 | − | 61.4386i | −1.54412 | − | 2.28651i | ||||
\(723\) | 8.38361 | + | 2.46165i | 0.311790 | + | 0.0915498i | ||||
\(724\) | 10.2914 | + | 4.14466i | 0.382476 | + | 0.154035i | ||||
\(725\) | 16.9413 | + | 19.5513i | 0.629184 | + | 0.726117i | ||||
\(726\) | 10.2843 | + | 11.3366i | 0.381687 | + | 0.420740i | ||||
\(727\) | −11.8546 | + | 25.9579i | −0.439662 | + | 0.962726i | 0.551998 | + | 0.833845i | \(0.313866\pi\) |
−0.991660 | + | 0.128880i | \(0.958862\pi\) | |||||||
\(728\) | 1.54231 | + | 1.16201i | 0.0571618 | + | 0.0430670i | ||||
\(729\) | 0.959493 | − | 0.281733i | 0.0355368 | − | 0.0104345i | ||||
\(730\) | 10.1975 | − | 12.3247i | 0.377425 | − | 0.456156i | ||||
\(731\) | −36.5219 | + | 16.6790i | −1.35081 | + | 0.616895i | ||||
\(732\) | 9.79970 | − | 6.94796i | 0.362207 | − | 0.256804i | ||||
\(733\) | 14.4363 | + | 22.4633i | 0.533216 | + | 0.829700i | 0.998460 | − | 0.0554829i | \(-0.0176698\pi\) |
−0.465244 | + | 0.885182i | \(0.654033\pi\) | |||||||
\(734\) | −10.0103 | − | 31.4264i | −0.369485 | − | 1.15997i | ||||
\(735\) | −5.01763 | −0.185078 | ||||||||
\(736\) | −12.5928 | + | 24.0296i | −0.464175 | + | 0.885743i | ||||
\(737\) | −5.97828 | −0.220213 | ||||||||
\(738\) | −0.690983 | − | 2.16928i | −0.0254354 | − | 0.0798524i | ||||
\(739\) | −27.1131 | − | 42.1888i | −0.997371 | − | 1.55194i | −0.823614 | − | 0.567150i | \(-0.808046\pi\) |
−0.173756 | − | 0.984789i | \(-0.555591\pi\) | |||||||
\(740\) | 15.2343 | − | 10.8011i | 0.560024 | − | 0.397055i | ||||
\(741\) | −1.62891 | + | 0.743896i | −0.0598393 | + | 0.0273277i | ||||
\(742\) | 1.64282 | − | 1.98552i | 0.0603100 | − | 0.0728907i | ||||
\(743\) | −8.12750 | + | 2.38645i | −0.298169 | + | 0.0875504i | −0.427396 | − | 0.904065i | \(-0.640569\pi\) |
0.129226 | + | 0.991615i | \(0.458751\pi\) | |||||||
\(744\) | 1.74276 | + | 1.31304i | 0.0638927 | + | 0.0481382i | ||||
\(745\) | 9.72074 | − | 21.2854i | 0.356140 | − | 0.779838i | ||||
\(746\) | 25.6996 | + | 28.3291i | 0.940930 | + | 1.03720i | ||||
\(747\) | −0.916188 | − | 1.05734i | −0.0335215 | − | 0.0386859i | ||||
\(748\) | 5.46519 | + | 2.20101i | 0.199827 | + | 0.0804768i | ||||
\(749\) | −11.2900 | − | 3.31505i | −0.412529 | − | 0.121129i | ||||
\(750\) | 9.15796 | + | 13.5609i | 0.334402 | + | 0.495176i | ||||
\(751\) | 29.3010 | + | 18.8306i | 1.06921 | + | 0.687138i | 0.952040 | − | 0.305974i | \(-0.0989820\pi\) |
0.117168 | + | 0.993112i | \(0.462618\pi\) | |||||||
\(752\) | −21.2743 | − | 7.46141i | −0.775796 | − | 0.272089i | ||||
\(753\) | 11.4494 | + | 1.64617i | 0.417238 | + | 0.0599898i | ||||
\(754\) | 2.75005 | + | 0.331682i | 0.100151 | + | 0.0120792i | ||||
\(755\) | −2.96969 | − | 20.6546i | −0.108078 | − | 0.751699i | ||||
\(756\) | −3.23358 | + | 5.57417i | −0.117604 | + | 0.202731i | ||||
\(757\) | 13.1116 | + | 11.3612i | 0.476548 | + | 0.412931i | 0.859736 | − | 0.510739i | \(-0.170628\pi\) |
−0.383188 | + | 0.923670i | \(0.625174\pi\) | |||||||
\(758\) | −11.0501 | + | 18.0870i | −0.401359 | + | 0.656948i | ||||
\(759\) | 1.48979 | + | 1.35855i | 0.0540760 | + | 0.0493121i | ||||
\(760\) | −2.63937 | + | 35.3672i | −0.0957400 | + | 1.28290i | ||||
\(761\) | 21.9204 | − | 25.2975i | 0.794615 | − | 0.917035i | −0.203458 | − | 0.979084i | \(-0.565218\pi\) |
0.998073 | + | 0.0620489i | \(0.0197635\pi\) | |||||||
\(762\) | −0.221538 | − | 9.72767i | −0.00802546 | − | 0.352396i | ||||
\(763\) | 37.9871 | − | 5.46172i | 1.37523 | − | 0.197728i | ||||
\(764\) | −24.1262 | + | 30.5493i | −0.872856 | + | 1.10523i | ||||
\(765\) | 1.47957 | − | 10.2907i | 0.0534941 | − | 0.372059i | ||||
\(766\) | 12.5139 | − | 46.5110i | 0.452147 | − | 1.68051i | ||||
\(767\) | 0.629640 | − | 0.979739i | 0.0227350 | − | 0.0353763i | ||||
\(768\) | 1.65208 | − | 15.9145i | 0.0596142 | − | 0.574264i | ||||
\(769\) | 1.61233 | − | 5.49108i | 0.0581420 | − | 0.198014i | −0.925300 | − | 0.379235i | \(-0.876187\pi\) |
0.983442 | + | 0.181222i | \(0.0580052\pi\) | |||||||
\(770\) | −0.468451 | − | 2.80343i | −0.0168818 | − | 0.101029i | ||||
\(771\) | −17.5809 | + | 15.2340i | −0.633162 | + | 0.548638i | ||||
\(772\) | −6.37231 | − | 33.4331i | −0.229344 | − | 1.20328i | ||||
\(773\) | 8.29517 | + | 3.78828i | 0.298356 | + | 0.136255i | 0.558969 | − | 0.829189i | \(-0.311197\pi\) |
−0.260612 | + | 0.965444i | \(0.583924\pi\) | |||||||
\(774\) | 7.29246 | − | 3.53318i | 0.262122 | − | 0.126997i | ||||
\(775\) | −0.608278 | − | 2.07161i | −0.0218500 | − | 0.0744143i | ||||
\(776\) | −28.6993 | − | 6.33608i | −1.03024 | − | 0.227452i | ||||
\(777\) | −8.42364 | − | 18.4452i | −0.302197 | − | 0.661718i | ||||
\(778\) | 9.18488 | − | 21.3878i | 0.329294 | − | 0.766791i | ||||
\(779\) | −11.4454 | + | 7.35548i | −0.410072 | + | 0.263538i | ||||
\(780\) | 0.610734 | + | 0.149495i | 0.0218678 | + | 0.00535279i | ||||
\(781\) | − | 1.28172i | − | 0.0458636i | ||||||
\(782\) | −45.5650 | − | 13.5071i | −1.62940 | − | 0.483013i | ||||
\(783\) | 9.24376i | 0.330345i | ||||||||
\(784\) | −3.13502 | − | 13.1591i | −0.111965 | − | 0.469968i | ||||
\(785\) | 14.1304 | − | 9.08108i | 0.504337 | − | 0.324118i | ||||
\(786\) | 18.5809 | + | 7.97946i | 0.662759 | + | 0.284618i | ||||
\(787\) | 1.87752 | + | 4.11120i | 0.0669264 | + | 0.146548i | 0.940139 | − | 0.340791i | \(-0.110695\pi\) |
−0.873213 | + | 0.487339i | \(0.837968\pi\) | |||||||
\(788\) | −28.4594 | + | 9.78428i | −1.01382 | + | 0.348551i | ||||
\(789\) | 1.63572 | + | 5.57075i | 0.0582332 | + | 0.198324i | ||||
\(790\) | −5.86461 | − | 12.1045i | −0.208653 | − | 0.430659i | ||||
\(791\) | −9.61080 | − | 4.38910i | −0.341721 | − | 0.156059i | ||||
\(792\) | −1.11284 | − | 0.418988i | −0.0395429 | − | 0.0148881i | ||||
\(793\) | −0.961849 | + | 0.833447i | −0.0341563 | + | 0.0295966i | ||||
\(794\) | 15.7804 | − | 2.63689i | 0.560025 | − | 0.0935799i | ||||
\(795\) | 0.236402 | − | 0.805111i | 0.00838431 | − | 0.0285543i | ||||
\(796\) | 10.2194 | − | 0.465712i | 0.362215 | − | 0.0165067i | ||||
\(797\) | 19.8048 | − | 30.8168i | 0.701521 | − | 1.09159i | −0.289408 | − | 0.957206i | \(-0.593459\pi\) |
0.990930 | − | 0.134383i | \(-0.0429051\pi\) | |||||||
\(798\) | 37.1871 | + | 10.0053i | 1.31641 | + | 0.354185i | ||||
\(799\) | 5.62056 | − | 39.0918i | 0.198841 | − | 1.38297i | ||||
\(800\) | −10.7094 | + | 11.6596i | −0.378636 | + | 0.412229i | ||||
\(801\) | −6.13401 | + | 0.881938i | −0.216735 | + | 0.0311617i | ||||
\(802\) | −6.13510 | + | 0.139720i | −0.216638 | + | 0.00493370i | ||||
\(803\) | 2.09887 | − | 2.42222i | 0.0740674 | − | 0.0854784i | ||||
\(804\) | −25.3055 | + | 12.9800i | −0.892455 | + | 0.457768i | ||||
\(805\) | 5.89949 | + | 22.1549i | 0.207930 | + | 0.780858i | ||||
\(806\) | −0.197274 | − | 0.120524i | −0.00694868 | − | 0.00424526i | ||||
\(807\) | −14.2852 | − | 12.3782i | −0.502862 | − | 0.435733i | ||||
\(808\) | −30.4368 | + | 16.4979i | −1.07076 | + | 0.580393i | ||||
\(809\) | −7.01245 | − | 48.7726i | −0.246545 | − | 1.71475i | −0.617894 | − | 0.786262i | \(-0.712014\pi\) |
0.371349 | − | 0.928493i | \(-0.378895\pi\) | |||||||
\(810\) | −0.251249 | + | 2.08316i | −0.00882800 | + | 0.0731949i | ||||
\(811\) | 35.5478 | + | 5.11100i | 1.24825 | + | 0.179471i | 0.734584 | − | 0.678518i | \(-0.237377\pi\) |
0.513667 | + | 0.857989i | \(0.328287\pi\) | |||||||
\(812\) | −41.0180 | − | 43.1963i | −1.43945 | − | 1.51589i | ||||
\(813\) | 7.37308 | + | 4.73839i | 0.258585 | + | 0.166183i | ||||
\(814\) | 3.10084 | − | 2.09406i | 0.108684 | − | 0.0733967i | ||||
\(815\) | −10.3868 | − | 3.04984i | −0.363834 | − | 0.106831i | ||||
\(816\) | 27.9124 | − | 2.54932i | 0.977131 | − | 0.0892441i | ||||
\(817\) | −31.7111 | − | 36.5966i | −1.10943 | − | 1.28035i | ||||
\(818\) | −41.6876 | + | 37.8182i | −1.45757 | + | 1.32228i | ||||
\(819\) | 0.283617 | − | 0.621036i | 0.00991040 | − | 0.0217007i | ||||
\(820\) | 4.75448 | + | 0.463882i | 0.166034 | + | 0.0161995i | ||||
\(821\) | 2.88300 | − | 0.846525i | 0.100617 | − | 0.0295439i | −0.231036 | − | 0.972945i | \(-0.574212\pi\) |
0.331654 | + | 0.943401i | \(0.392393\pi\) | |||||||
\(822\) | −17.9283 | − | 14.8339i | −0.625320 | − | 0.517391i | ||||
\(823\) | −34.2249 | + | 15.6300i | −1.19300 | + | 0.544827i | −0.910127 | − | 0.414330i | \(-0.864016\pi\) |
−0.282877 | + | 0.959156i | \(0.591289\pi\) | |||||||
\(824\) | −0.225852 | − | 3.30114i | −0.00786793 | − | 0.115001i | ||||
\(825\) | 0.636108 | + | 0.989803i | 0.0221464 | + | 0.0344605i | ||||
\(826\) | −23.8637 | + | 7.60131i | −0.830324 | + | 0.264484i | ||||
\(827\) | 21.8100 | 0.758407 | 0.379203 | − | 0.925313i | \(-0.376198\pi\) | ||||
0.379203 | + | 0.925313i | \(0.376198\pi\) | |||||||
\(828\) | 9.25580 | + | 2.51598i | 0.321661 | + | 0.0874362i | ||||
\(829\) | −5.49566 | −0.190872 | −0.0954361 | − | 0.995436i | \(-0.530425\pi\) | ||||
−0.0954361 | + | 0.995436i | \(0.530425\pi\) | |||||||
\(830\) | 2.79711 | − | 0.890966i | 0.0970893 | − | 0.0309259i | ||||
\(831\) | 15.7881 | + | 24.5667i | 0.547682 | + | 0.852210i | ||||
\(832\) | −0.0104751 | + | 1.69510i | −0.000363158 | + | 0.0587670i | ||||
\(833\) | 21.5557 | − | 9.84414i | 0.746859 | − | 0.341079i | ||||
\(834\) | 22.1699 | + | 18.3435i | 0.767682 | + | 0.635182i | ||||
\(835\) | −21.4739 | + | 6.30531i | −0.743136 | + | 0.218204i | ||||
\(836\) | −0.690029 | + | 7.07233i | −0.0238651 | + | 0.244602i | ||||
\(837\) | 0.320479 | − | 0.701750i | 0.0110774 | − | 0.0242560i | ||||
\(838\) | 9.05526 | − | 8.21476i | 0.312809 | − | 0.283774i | ||||
\(839\) | −27.3302 | − | 31.5407i | −0.943542 | − | 1.08891i | −0.995917 | − | 0.0902785i | \(-0.971224\pi\) |
0.0523741 | − | 0.998628i | \(-0.483321\pi\) | |||||||
\(840\) | −8.06968 | − | 10.8496i | −0.278431 | − | 0.374345i | ||||
\(841\) | −54.1606 | − | 15.9030i | −1.86761 | − | 0.548379i | ||||
\(842\) | −16.3435 | + | 11.0371i | −0.563234 | + | 0.380363i | ||||
\(843\) | −14.5657 | − | 9.36079i | −0.501669 | − | 0.322403i | ||||
\(844\) | 10.0787 | − | 9.57047i | 0.346924 | − | 0.329429i | ||||
\(845\) | 19.0258 | + | 2.73549i | 0.654506 | + | 0.0941038i | ||||
\(846\) | −0.954438 | + | 7.91346i | −0.0328142 | + | 0.272070i | ||||
\(847\) | 4.96301 | + | 34.5185i | 0.170531 | + | 1.18607i | ||||
\(848\) | 2.25917 | + | 0.116947i | 0.0775801 | + | 0.00401599i | ||||
\(849\) | 7.38585 | + | 6.39988i | 0.253482 | + | 0.219643i | ||||
\(850\) | −23.6663 | − | 14.4588i | −0.811746 | − | 0.495933i | ||||
\(851\) | −23.3036 | + | 19.1802i | −0.798837 | + | 0.657489i | ||||
\(852\) | −2.78286 | − | 5.42540i | −0.0953392 | − | 0.185871i | ||||
\(853\) | −11.0241 | + | 12.7225i | −0.377458 | + | 0.435610i | −0.912413 | − | 0.409271i | \(-0.865783\pi\) |
0.534955 | + | 0.844881i | \(0.320329\pi\) | |||||||
\(854\) | 27.3625 | − | 0.623151i | 0.936324 | − | 0.0213238i | ||||
\(855\) | 12.4113 | − | 1.78448i | 0.424458 | − | 0.0610279i | ||||
\(856\) | −3.57972 | − | 9.68892i | −0.122352 | − | 0.331160i | ||||
\(857\) | 0.344656 | − | 2.39713i | 0.0117732 | − | 0.0818845i | −0.983088 | − | 0.183135i | \(-0.941375\pi\) |
0.994861 | + | 0.101251i | \(0.0322844\pi\) | |||||||
\(858\) | 0.121654 | + | 0.0327313i | 0.00415319 | + | 0.00111743i | ||||
\(859\) | −27.6619 | + | 43.0427i | −0.943811 | + | 1.46860i | −0.0614036 | + | 0.998113i | \(0.519558\pi\) |
−0.882408 | + | 0.470486i | \(0.844079\pi\) | |||||||
\(860\) | 0.774041 | + | 16.9852i | 0.0263946 | + | 0.579190i | ||||
\(861\) | 1.46137 | − | 4.97697i | 0.0498034 | − | 0.169615i | ||||
\(862\) | −18.5945 | + | 3.10713i | −0.633332 | + | 0.105829i | ||||
\(863\) | −26.7093 | + | 23.1438i | −0.909196 | + | 0.787823i | −0.977739 | − | 0.209825i | \(-0.932711\pi\) |
0.0685426 | + | 0.997648i | \(0.478165\pi\) | |||||||
\(864\) | −5.62023 | + | 0.642643i | −0.191204 | + | 0.0218632i | ||||
\(865\) | 1.54888 | + | 0.707350i | 0.0526635 | + | 0.0240506i | ||||
\(866\) | 0.697556 | + | 1.43975i | 0.0237039 | + | 0.0489248i | ||||
\(867\) | 9.04367 | + | 30.7999i | 0.307139 | + | 1.04602i | ||||
\(868\) | 1.61632 | + | 4.70137i | 0.0548616 | + | 0.159575i | ||||
\(869\) | −1.11952 | − | 2.45140i | −0.0379770 | − | 0.0831580i | ||||
\(870\) | −17.8219 | − | 7.65353i | −0.604220 | − | 0.259479i | ||||
\(871\) | 2.53480 | − | 1.62902i | 0.0858884 | − | 0.0551971i | ||||
\(872\) | 23.7480 | + | 23.8952i | 0.804207 | + | 0.809192i | ||||
\(873\) | 10.3911i | 0.351685i | ||||||||
\(874\) | 0.148147 | − | 57.3184i | 0.00501115 | − | 1.93882i | ||||
\(875\) | 37.2822i | 1.26037i | ||||||||
\(876\) | 3.62520 | − | 14.8101i | 0.122484 | − | 0.500386i | ||||
\(877\) | 31.8487 | − | 20.4679i | 1.07546 | − | 0.691153i | 0.121952 | − | 0.992536i | \(-0.461084\pi\) |
0.953503 | + | 0.301383i | \(0.0974481\pi\) | |||||||
\(878\) | −0.0185381 | + | 0.0431677i | −0.000625632 | + | 0.00145684i | ||||
\(879\) | −12.1418 | − | 26.5869i | −0.409534 | − | 0.896755i | ||||
\(880\) | 1.72920 | − | 1.79864i | 0.0582913 | − | 0.0606320i | ||||
\(881\) | −2.05706 | − | 7.00569i | −0.0693040 | − | 0.236028i | 0.917556 | − | 0.397607i | \(-0.130159\pi\) |
−0.986860 | + | 0.161580i | \(0.948341\pi\) | |||||||
\(882\) | −4.30409 | + | 2.08532i | −0.144926 | + | 0.0702165i | ||||
\(883\) | −17.4756 | − | 7.98083i | −0.588100 | − | 0.268576i | 0.0990611 | − | 0.995081i | \(-0.468416\pi\) |
−0.687161 | + | 0.726505i | \(0.741143\pi\) | |||||||
\(884\) | −2.91700 | + | 0.555976i | −0.0981093 | + | 0.0186995i | ||||
\(885\) | −6.16300 | + | 5.34027i | −0.207167 | + | 0.179511i | ||||
\(886\) | −2.02575 | − | 12.1230i | −0.0680563 | − | 0.407280i | ||||
\(887\) | 13.6881 | − | 46.6173i | 0.459600 | − | 1.56525i | −0.325287 | − | 0.945615i | \(-0.605461\pi\) |
0.784887 | − | 0.619639i | \(-0.212721\pi\) | |||||||
\(888\) | 8.57897 | − | 15.5965i | 0.287891 | − | 0.523383i | ||||
\(889\) | 11.9854 | − | 18.6497i | 0.401977 | − | 0.625489i | ||||
\(890\) | 3.37839 | − | 12.5566i | 0.113244 | − | 0.420897i | ||||
\(891\) | −0.0598306 | + | 0.416131i | −0.00200440 | + | 0.0139409i | ||||
\(892\) | −20.5615 | − | 16.2384i | −0.688451 | − | 0.543702i | ||||
\(893\) | 47.1477 | − | 6.77882i | 1.57774 | − | 0.226845i | ||||
\(894\) | −0.507824 | − | 22.2985i | −0.0169842 | − | 0.745772i | ||||
\(895\) | 11.1656 | − | 12.8858i | 0.373224 | − | 0.430724i | ||||
\(896\) | 23.4118 | − | 27.9422i | 0.782133 | − | 0.933482i | ||||
\(897\) | −1.00186 | − | 0.170074i | −0.0334512 | − | 0.00567859i | ||||
\(898\) | 29.1372 | − | 47.6919i | 0.972319 | − | 1.59150i | ||||
\(899\) | 5.38944 | + | 4.66997i | 0.179748 | + | 0.155752i | ||||
\(900\) | 4.84163 | + | 2.80863i | 0.161388 | + | 0.0936210i | ||||
\(901\) | 0.563977 | + | 3.92254i | 0.0187888 | + | 0.130679i | ||||
\(902\) | 0.950250 | + | 0.114609i | 0.0316399 | + | 0.00381607i | ||||
\(903\) | 18.2743 | + | 2.62745i | 0.608130 | + | 0.0874359i | ||||
\(904\) | −1.94347 | − | 9.06882i | −0.0646390 | − | 0.301625i | ||||
\(905\) | 6.92395 | + | 4.44975i | 0.230160 | + | 0.147915i | ||||
\(906\) | −11.1314 | − | 16.4832i | −0.369817 | − | 0.547618i | ||||
\(907\) | 3.62381 | + | 1.06405i | 0.120327 | + | 0.0353311i | 0.341341 | − | 0.939939i | \(-0.389119\pi\) |
−0.221015 | + | 0.975270i | \(0.570937\pi\) | |||||||
\(908\) | 0.461236 | − | 1.14527i | 0.0153067 | − | 0.0380071i | ||||
\(909\) | 8.01562 | + | 9.25052i | 0.265861 | + | 0.306820i | ||||
\(910\) | 0.962528 | + | 1.06101i | 0.0319075 | + | 0.0351722i | ||||
\(911\) | −3.79305 | + | 8.30561i | −0.125669 | + | 0.275177i | −0.962001 | − | 0.273047i | \(-0.911969\pi\) |
0.836332 | + | 0.548224i | \(0.184696\pi\) | |||||||
\(912\) | 12.4345 | + | 31.4347i | 0.411748 | + | 1.04091i | ||||
\(913\) | 0.564352 | − | 0.165709i | 0.0186773 | − | 0.00548416i | ||||
\(914\) | −4.64217 | + | 5.61053i | −0.153549 | + | 0.185580i | ||||
\(915\) | 8.10636 | − | 3.70205i | 0.267988 | − | 0.122386i | ||||
\(916\) | −21.3195 | − | 30.0700i | −0.704417 | − | 0.993540i | ||||
\(917\) | 24.9087 | + | 38.7587i | 0.822558 | + | 1.27993i | ||||
\(918\) | −3.00762 | − | 9.44217i | −0.0992662 | − | 0.311638i | ||||
\(919\) | 6.31519 | 0.208319 | 0.104159 | − | 0.994561i | \(-0.466785\pi\) | ||||
0.104159 | + | 0.994561i | \(0.466785\pi\) | |||||||
\(920\) | −12.5143 | + | 15.7620i | −0.412584 | + | 0.519658i | ||||
\(921\) | 21.5892 | 0.711387 | ||||||||
\(922\) | 5.81238 | + | 18.2475i | 0.191421 | + | 0.600949i | ||||
\(923\) | 0.349255 | + | 0.543452i | 0.0114959 | + | 0.0178879i | ||||
\(924\) | −1.56694 | − | 2.21008i | −0.0515485 | − | 0.0727062i | ||||
\(925\) | −16.0212 | + | 7.31664i | −0.526774 | + | 0.240569i | ||||
\(926\) | −37.4961 | + | 45.3178i | −1.23220 | + | 1.48923i | ||||
\(927\) | −1.12247 | + | 0.329587i | −0.0368667 | + | 0.0108250i | ||||
\(928\) | 8.93678 | − | 51.5213i | 0.293364 | − | 1.69127i | ||||
\(929\) | 0.740702 | − | 1.62191i | 0.0243016 | − | 0.0532132i | −0.897092 | − | 0.441844i | \(-0.854325\pi\) |
0.921394 | + | 0.388631i | \(0.127052\pi\) | |||||||
\(930\) | 1.08763 | + | 1.19891i | 0.0356647 | + | 0.0393137i | ||||
\(931\) | 18.7163 | + | 21.5997i | 0.613401 | + | 0.707903i | ||||
\(932\) | −19.1846 | + | 47.6363i | −0.628413 | + | 1.56038i | ||||
\(933\) | −0.481016 | − | 0.141239i | −0.0157477 | − | 0.00462396i | ||||
\(934\) | 16.9933 | + | 25.1634i | 0.556038 | + | 0.823372i | ||||
\(935\) | 3.67694 | + | 2.36302i | 0.120249 | + | 0.0772791i | ||||
\(936\) | 0.586014 | − | 0.125584i | 0.0191545 | − | 0.00410486i | ||||
\(937\) | −21.8933 | − | 3.14778i | −0.715223 | − | 0.102834i | −0.224910 | − | 0.974380i | \(-0.572209\pi\) |
−0.490314 | + | 0.871546i | \(0.663118\pi\) | |||||||
\(938\) | −64.3309 | − | 7.75891i | −2.10048 | − | 0.253337i | ||||
\(939\) | 1.86936 | + | 13.0017i | 0.0610042 | + | 0.424294i | ||||
\(940\) | −14.4669 | − | 8.39224i | −0.471858 | − | 0.273725i | ||||
\(941\) | 29.4853 | + | 25.5492i | 0.961194 | + | 0.832880i | 0.985989 | − | 0.166813i | \(-0.0533476\pi\) |
−0.0247943 | + | 0.999693i | \(0.507893\pi\) | |||||||
\(942\) | 8.34692 | − | 13.6623i | 0.271957 | − | 0.445142i | ||||
\(943\) | −7.71810 | − | 0.195732i | −0.251336 | − | 0.00637390i | ||||
\(944\) | −17.8559 | − | 12.8263i | −0.581160 | − | 0.417461i | ||||
\(945\) | −3.13062 | + | 3.61293i | −0.101839 | + | 0.117529i | ||||
\(946\) | 0.0775640 | + | 3.40582i | 0.00252182 | + | 0.110733i | ||||
\(947\) | 41.5222 | − | 5.96999i | 1.34929 | − | 0.193999i | 0.570508 | − | 0.821292i | \(-0.306746\pi\) |
0.778783 | + | 0.627293i | \(0.215837\pi\) | |||||||
\(948\) | −10.0613 | − | 7.94585i | −0.326774 | − | 0.258069i | ||||
\(949\) | −0.229893 | + | 1.59894i | −0.00746266 | + | 0.0519039i | ||||
\(950\) | 8.69045 | − | 32.3001i | 0.281956 | − | 1.04795i | ||||
\(951\) | −1.35615 | + | 2.11021i | −0.0439761 | + | 0.0684282i | ||||
\(952\) | 55.9531 | + | 30.7775i | 1.81345 | + | 0.997505i | ||||
\(953\) | −7.51448 | + | 25.5920i | −0.243418 | + | 0.829005i | 0.743632 | + | 0.668589i | \(0.233102\pi\) |
−0.987050 | + | 0.160415i | \(0.948717\pi\) | |||||||
\(954\) | −0.131819 | − | 0.788868i | −0.00426781 | − | 0.0255405i | ||||
\(955\) | −21.8246 | + | 18.9111i | −0.706227 | + | 0.611949i | ||||
\(956\) | −18.3713 | + | 3.50155i | −0.594172 | + | 0.113248i | ||||
\(957\) | −3.53498 | − | 1.61437i | −0.114270 | − | 0.0521853i | ||||
\(958\) | 23.8788 | − | 11.5692i | 0.771488 | − | 0.373784i | ||||
\(959\) | −14.9364 | − | 50.8686i | −0.482321 | − | 1.64263i | ||||
\(960\) | 3.41435 | − | 11.3679i | 0.110198 | − | 0.366897i | ||||
\(961\) | 12.6306 | + | 27.6572i | 0.407440 | + | 0.892168i | ||||
\(962\) | −0.744153 | + | 1.73283i | −0.0239925 | + | 0.0558686i | ||||
\(963\) | −3.07215 | + | 1.97435i | −0.0989987 | + | 0.0636226i | ||||
\(964\) | −4.15488 | + | 16.9740i | −0.133820 | + | 0.546695i | ||||
\(965\) | − | 25.2487i | − | 0.812786i | ||||||
\(966\) | 14.2681 | + | 16.5525i | 0.459069 | + | 0.532569i | ||||
\(967\) | − | 26.1820i | − | 0.841956i | −0.907071 | − | 0.420978i | \(-0.861687\pi\) | ||
0.907071 | − | 0.420978i | \(-0.138313\pi\) | |||||||
\(968\) | −21.7133 | + | 21.5795i | −0.697892 | + | 0.693592i | ||||
\(969\) | −49.8179 | + | 32.0160i | −1.60038 | + | 1.02850i | ||||
\(970\) | −20.0340 | − | 8.60347i | −0.643251 | − | 0.276241i | ||||
\(971\) | 2.00855 | + | 4.39811i | 0.0644574 | + | 0.141142i | 0.939119 | − | 0.343592i | \(-0.111644\pi\) |
−0.874662 | + | 0.484734i | \(0.838916\pi\) | |||||||
\(972\) | 0.650241 | + | 1.89135i | 0.0208565 | + | 0.0606649i | ||||
\(973\) | 18.4702 | + | 62.9037i | 0.592127 | + | 2.01660i | ||||
\(974\) | 7.04379 | + | 14.5383i | 0.225698 | + | 0.465838i | ||||
\(975\) | −0.539421 | − | 0.246345i | −0.0172753 | − | 0.00788936i | ||||
\(976\) | 14.7738 | + | 18.9465i | 0.472896 | + | 0.606462i | ||||
\(977\) | −27.7626 | + | 24.0565i | −0.888205 | + | 0.769634i | −0.973969 | − | 0.226681i | \(-0.927212\pi\) |
0.0857636 | + | 0.996316i | \(0.472667\pi\) | |||||||
\(978\) | −10.1773 | + | 1.70061i | −0.325433 | + | 0.0543797i | ||||
\(979\) | 0.734003 | − | 2.49978i | 0.0234588 | − | 0.0798935i | ||||
\(980\) | −0.456848 | − | 10.0249i | −0.0145935 | − | 0.320232i | ||||
\(981\) | 6.43948 | − | 10.0200i | 0.205597 | − | 0.319915i | ||||
\(982\) | 6.07708 | + | 1.63506i | 0.193927 | + | 0.0521768i | ||||
\(983\) | −2.49687 | + | 17.3661i | −0.0796378 | + | 0.553893i | 0.910469 | + | 0.413577i | \(0.135721\pi\) |
−0.990107 | + | 0.140316i | \(0.955188\pi\) | |||||||
\(984\) | 4.27115 | − | 1.57804i | 0.136159 | − | 0.0503062i | ||||
\(985\) | −22.0981 | + | 3.17723i | −0.704105 | + | 0.101235i | ||||
\(986\) | 91.5783 | − | 2.08560i | 2.91645 | − | 0.0664191i | ||||
\(987\) | −11.8925 | + | 13.7247i | −0.378543 | + | 0.436862i | ||||
\(988\) | −1.63456 | − | 3.18670i | −0.0520023 | − | 0.101382i | ||||
\(989\) | −3.21993 | − | 27.2903i | −0.102388 | − | 0.867780i | ||||
\(990\) | −0.752761 | − | 0.459896i | −0.0239243 | − | 0.0146164i | ||||
\(991\) | 30.6615 | + | 26.5684i | 0.973995 | + | 0.843972i | 0.987768 | − | 0.155934i | \(-0.0498386\pi\) |
−0.0137725 | + | 0.999905i | \(0.504384\pi\) | |||||||
\(992\) | −2.46467 | + | 3.60146i | −0.0782535 | + | 0.114346i | ||||
\(993\) | −0.420818 | − | 2.92685i | −0.0133542 | − | 0.0928808i | ||||
\(994\) | 1.66348 | − | 13.7923i | 0.0527625 | − | 0.437466i | ||||
\(995\) | 7.51182 | + | 1.08004i | 0.238141 | + | 0.0342395i | ||||
\(996\) | 2.02906 | − | 1.92674i | 0.0642933 | − | 0.0610512i | ||||
\(997\) | 37.5390 | + | 24.1249i | 1.18887 | + | 0.764042i | 0.976997 | − | 0.213254i | \(-0.0684063\pi\) |
0.211876 | + | 0.977297i | \(0.432043\pi\) | |||||||
\(998\) | −25.4294 | + | 17.1730i | −0.804955 | + | 0.543601i | ||||
\(999\) | −6.03841 | − | 1.77304i | −0.191047 | − | 0.0560964i |
(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 | 276.2.m.a.7.15 | yes | 240 | |
3.2 | odd | 2 | 828.2.u.c.559.10 | 240 | |||
4.3 | odd | 2 | inner | 276.2.m.a.7.2 | ✓ | 240 | |
12.11 | even | 2 | 828.2.u.c.559.23 | 240 | |||
23.10 | odd | 22 | inner | 276.2.m.a.79.2 | yes | 240 | |
69.56 | even | 22 | 828.2.u.c.631.23 | 240 | |||
92.79 | even | 22 | inner | 276.2.m.a.79.15 | yes | 240 | |
276.263 | odd | 22 | 828.2.u.c.631.10 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.2.m.a.7.2 | ✓ | 240 | 4.3 | odd | 2 | inner | |
276.2.m.a.7.15 | yes | 240 | 1.1 | even | 1 | trivial | |
276.2.m.a.79.2 | yes | 240 | 23.10 | odd | 22 | inner | |
276.2.m.a.79.15 | yes | 240 | 92.79 | even | 22 | inner | |
828.2.u.c.559.10 | 240 | 3.2 | odd | 2 | |||
828.2.u.c.559.23 | 240 | 12.11 | even | 2 | |||
828.2.u.c.631.10 | 240 | 276.263 | odd | 22 | |||
828.2.u.c.631.23 | 240 | 69.56 | even | 22 |