Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,3,Mod(5,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.h (of order \(58\), degree \(28\), 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: | \(9.64580135835\) |
Analytic rank: | \(0\) |
Dimension: | \(1120\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 354.5 |
Dual form | 354.3.h.a.71.3 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{3}{29}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.451561 | + | 1.34018i | −0.225780 | + | 0.670092i | ||||
\(3\) | −2.91198 | − | 0.721372i | −0.970660 | − | 0.240457i | ||||
\(4\) | −1.59219 | − | 1.21035i | −0.398047 | − | 0.302587i | ||||
\(5\) | 8.94495 | + | 3.56399i | 1.78899 | + | 0.712799i | 0.994404 | + | 0.105648i | \(0.0336918\pi\) |
0.794587 | + | 0.607151i | \(0.207688\pi\) | |||||||
\(6\) | 2.28171 | − | 3.57684i | 0.380284 | − | 0.596141i | ||||
\(7\) | −3.17617 | + | 1.46945i | −0.453739 | + | 0.209922i | −0.633428 | − | 0.773801i | \(-0.718353\pi\) |
0.179689 | + | 0.983723i | \(0.442491\pi\) | |||||||
\(8\) | 2.34106 | − | 1.58728i | 0.292632 | − | 0.198410i | ||||
\(9\) | 7.95924 | + | 4.20124i | 0.884360 | + | 0.466805i | ||||
\(10\) | −8.81560 | + | 10.3785i | −0.881560 | + | 1.03785i | ||||
\(11\) | −2.20232 | − | 0.611471i | −0.200211 | − | 0.0555882i | 0.165975 | − | 0.986130i | \(-0.446923\pi\) |
−0.366186 | + | 0.930542i | \(0.619337\pi\) | |||||||
\(12\) | 3.76330 | + | 4.67307i | 0.313608 | + | 0.389422i | ||||
\(13\) | 7.92324 | − | 14.9448i | 0.609480 | − | 1.14960i | −0.366228 | − | 0.930525i | \(-0.619351\pi\) |
0.975708 | − | 0.219076i | \(-0.0703043\pi\) | |||||||
\(14\) | −0.535104 | − | 4.92020i | −0.0382217 | − | 0.351443i | ||||
\(15\) | −23.4765 | − | 16.8309i | −1.56510 | − | 1.12206i | ||||
\(16\) | 1.07011 | + | 3.85420i | 0.0668821 | + | 0.240887i | ||||
\(17\) | 0.0763348 | − | 0.164995i | 0.00449028 | − | 0.00970559i | −0.905317 | − | 0.424736i | \(-0.860367\pi\) |
0.909808 | + | 0.415030i | \(0.136229\pi\) | |||||||
\(18\) | −9.22452 | + | 8.76974i | −0.512473 | + | 0.487208i | ||||
\(19\) | 7.06586 | − | 1.55531i | 0.371888 | − | 0.0818587i | −0.0250943 | − | 0.999685i | \(-0.507989\pi\) |
0.396982 | + | 0.917826i | \(0.370058\pi\) | |||||||
\(20\) | −9.92835 | − | 16.5011i | −0.496418 | − | 0.825053i | ||||
\(21\) | 10.3090 | − | 1.98782i | 0.490903 | − | 0.0946579i | ||||
\(22\) | 1.81396 | − | 2.67540i | 0.0824529 | − | 0.121609i | ||||
\(23\) | 16.6052 | + | 2.72229i | 0.721967 | + | 0.118360i | 0.511553 | − | 0.859252i | \(-0.329071\pi\) |
0.210414 | + | 0.977612i | \(0.432519\pi\) | |||||||
\(24\) | −7.96213 | + | 2.93334i | −0.331755 | + | 0.122223i | ||||
\(25\) | 49.1602 | + | 46.5670i | 1.96641 | + | 1.86268i | ||||
\(26\) | 16.4510 | + | 17.3671i | 0.632730 | + | 0.667965i | ||||
\(27\) | −20.1465 | − | 17.9755i | −0.746166 | − | 0.665759i | ||||
\(28\) | 6.83561 | + | 1.50463i | 0.244129 | + | 0.0537368i | ||||
\(29\) | 11.9052 | + | 35.3332i | 0.410523 | + | 1.21839i | 0.931160 | + | 0.364610i | \(0.118798\pi\) |
−0.520638 | + | 0.853778i | \(0.674306\pi\) | |||||||
\(30\) | 33.1576 | − | 23.8627i | 1.10525 | − | 0.795424i | ||||
\(31\) | −2.36671 | − | 0.520953i | −0.0763456 | − | 0.0168049i | 0.176633 | − | 0.984277i | \(-0.443479\pi\) |
−0.252979 | + | 0.967472i | \(0.581410\pi\) | |||||||
\(32\) | −5.64856 | − | 0.306256i | −0.176517 | − | 0.00957050i | ||||
\(33\) | 5.97201 | + | 3.36928i | 0.180970 | + | 0.102099i | ||||
\(34\) | 0.186654 | + | 0.176808i | 0.00548982 | + | 0.00520023i | ||||
\(35\) | −33.6478 | + | 1.82433i | −0.961367 | + | 0.0521238i | ||||
\(36\) | −7.58763 | − | 16.3226i | −0.210768 | − | 0.453406i | ||||
\(37\) | −27.1036 | + | 39.9748i | −0.732529 | + | 1.08040i | 0.260834 | + | 0.965384i | \(0.416002\pi\) |
−0.993364 | + | 0.115016i | \(0.963308\pi\) | |||||||
\(38\) | −1.10626 | + | 10.1719i | −0.0291121 | + | 0.267681i | ||||
\(39\) | −33.8531 | + | 37.8034i | −0.868028 | + | 0.969318i | ||||
\(40\) | 26.5977 | − | 5.85460i | 0.664942 | − | 0.146365i | ||||
\(41\) | −13.5648 | + | 2.22383i | −0.330848 | + | 0.0542397i | −0.324917 | − | 0.945743i | \(-0.605336\pi\) |
−0.00593119 | + | 0.999982i | \(0.501888\pi\) | |||||||
\(42\) | −1.99109 | + | 14.7135i | −0.0474068 | + | 0.350322i | ||||
\(43\) | 17.3748 | + | 62.5782i | 0.404064 | + | 1.45531i | 0.833656 | + | 0.552284i | \(0.186244\pi\) |
−0.429592 | + | 0.903023i | \(0.641343\pi\) | |||||||
\(44\) | 2.76641 | + | 3.63915i | 0.0628729 | + | 0.0827079i | ||||
\(45\) | 56.2219 | + | 65.9466i | 1.24937 | + | 1.46548i | ||||
\(46\) | −11.1466 | + | 21.0248i | −0.242318 | + | 0.457061i | ||||
\(47\) | 75.9976 | − | 30.2802i | 1.61697 | − | 0.644260i | 0.626182 | − | 0.779677i | \(-0.284617\pi\) |
0.990789 | + | 0.135417i | \(0.0432375\pi\) | |||||||
\(48\) | −0.335835 | − | 11.9953i | −0.00699656 | − | 0.249902i | ||||
\(49\) | −23.7931 | + | 28.0115i | −0.485574 | + | 0.571662i | ||||
\(50\) | −84.6072 | + | 44.8559i | −1.69214 | + | 0.897118i | ||||
\(51\) | −0.341308 | + | 0.425396i | −0.00669232 | + | 0.00834110i | ||||
\(52\) | −30.7037 | + | 14.2050i | −0.590456 | + | 0.273174i | ||||
\(53\) | 55.1529 | − | 46.8473i | 1.04062 | − | 0.883911i | 0.0472518 | − | 0.998883i | \(-0.484954\pi\) |
0.993369 | + | 0.114972i | \(0.0366778\pi\) | |||||||
\(54\) | 33.1878 | − | 18.8830i | 0.614590 | − | 0.349685i | ||||
\(55\) | −17.5204 | − | 13.3186i | −0.318552 | − | 0.242157i | ||||
\(56\) | −5.10318 | + | 8.48154i | −0.0911281 | + | 0.151456i | ||||
\(57\) | −21.6976 | − | 0.568075i | −0.380660 | − | 0.00996623i | ||||
\(58\) | −52.7289 | −0.909120 | ||||||||
\(59\) | −55.5071 | + | 19.9991i | −0.940798 | + | 0.338968i | ||||
\(60\) | 17.0078 | + | 55.2128i | 0.283463 | + | 0.920213i | ||||
\(61\) | 80.7927 | + | 27.2222i | 1.32447 | + | 0.446266i | 0.890632 | − | 0.454725i | \(-0.150262\pi\) |
0.433838 | + | 0.900991i | \(0.357159\pi\) | |||||||
\(62\) | 1.76689 | − | 2.93659i | 0.0284982 | − | 0.0473643i | ||||
\(63\) | −31.4535 | − | 1.64813i | −0.499261 | − | 0.0261607i | ||||
\(64\) | 2.96111 | − | 7.43181i | 0.0462673 | − | 0.116122i | ||||
\(65\) | 124.136 | − | 105.442i | 1.90979 | − | 1.62219i | ||||
\(66\) | −7.21218 | + | 6.48215i | −0.109275 | + | 0.0982144i | ||||
\(67\) | −6.31878 | − | 9.31950i | −0.0943101 | − | 0.139097i | 0.777607 | − | 0.628751i | \(-0.216433\pi\) |
−0.871917 | + | 0.489654i | \(0.837123\pi\) | |||||||
\(68\) | −0.321241 | + | 0.170311i | −0.00472413 | + | 0.00250457i | ||||
\(69\) | −46.3903 | − | 19.9058i | −0.672323 | − | 0.288490i | ||||
\(70\) | 12.7491 | − | 45.9181i | 0.182130 | − | 0.655973i | ||||
\(71\) | −34.2097 | + | 13.6304i | −0.481827 | + | 0.191977i | −0.598388 | − | 0.801206i | \(-0.704192\pi\) |
0.116562 | + | 0.993183i | \(0.462813\pi\) | |||||||
\(72\) | 25.3016 | − | 2.79817i | 0.351411 | − | 0.0388635i | ||||
\(73\) | 46.1344 | − | 5.01742i | 0.631979 | − | 0.0687318i | 0.213477 | − | 0.976948i | \(-0.431521\pi\) |
0.418501 | + | 0.908216i | \(0.362556\pi\) | |||||||
\(74\) | −41.3347 | − | 54.3748i | −0.558577 | − | 0.734795i | ||||
\(75\) | −109.561 | − | 171.065i | −1.46082 | − | 2.28087i | ||||
\(76\) | −13.1326 | − | 6.07581i | −0.172798 | − | 0.0799448i | ||||
\(77\) | 7.89347 | − | 1.29407i | 0.102513 | − | 0.0168061i | ||||
\(78\) | −35.3768 | − | 62.4399i | −0.453548 | − | 0.800511i | ||||
\(79\) | 0.162288 | − | 0.0976457i | 0.00205428 | − | 0.00123602i | −0.514526 | − | 0.857475i | \(-0.672032\pi\) |
0.516581 | + | 0.856239i | \(0.327205\pi\) | |||||||
\(80\) | −4.16424 | + | 38.2895i | −0.0520529 | + | 0.478619i | ||||
\(81\) | 45.6991 | + | 66.8774i | 0.564187 | + | 0.825647i | ||||
\(82\) | 3.14497 | − | 19.1835i | 0.0383533 | − | 0.233945i | ||||
\(83\) | −48.9245 | + | 2.65261i | −0.589451 | + | 0.0319591i | −0.346453 | − | 0.938067i | \(-0.612614\pi\) |
−0.242999 | + | 0.970027i | \(0.578131\pi\) | |||||||
\(84\) | −18.8198 | − | 9.31247i | −0.224045 | − | 0.110863i | ||||
\(85\) | 1.27085 | − | 1.20382i | 0.0149512 | − | 0.0141625i | ||||
\(86\) | −91.7121 | − | 4.97248i | −1.06642 | − | 0.0578196i | ||||
\(87\) | −9.17914 | − | 111.478i | −0.105507 | − | 1.28135i | ||||
\(88\) | −6.12633 | + | 2.06420i | −0.0696174 | + | 0.0234568i | ||||
\(89\) | −28.4774 | − | 84.5179i | −0.319971 | − | 0.949640i | −0.980103 | − | 0.198490i | \(-0.936396\pi\) |
0.660132 | − | 0.751150i | \(-0.270500\pi\) | |||||||
\(90\) | −113.768 | + | 45.5687i | −1.26409 | + | 0.506319i | ||||
\(91\) | −3.20486 | + | 59.1102i | −0.0352182 | + | 0.649562i | ||||
\(92\) | −23.1437 | − | 24.4325i | −0.251562 | − | 0.265571i | ||||
\(93\) | 6.51602 | + | 3.22428i | 0.0700647 | + | 0.0346697i | ||||
\(94\) | 6.26354 | + | 115.524i | 0.0666334 | + | 1.22898i | ||||
\(95\) | 68.7470 | + | 11.2705i | 0.723652 | + | 0.118637i | ||||
\(96\) | 16.2276 | + | 4.96652i | 0.169037 | + | 0.0517346i | ||||
\(97\) | −138.057 | − | 15.0146i | −1.42327 | − | 0.154790i | −0.636139 | − | 0.771575i | \(-0.719469\pi\) |
−0.787132 | + | 0.616785i | \(0.788435\pi\) | |||||||
\(98\) | −26.7965 | − | 44.5361i | −0.273433 | − | 0.454450i | ||||
\(99\) | −14.9599 | − | 14.1193i | −0.151110 | − | 0.142619i | ||||
\(100\) | −21.9099 | − | 133.644i | −0.219099 | − | 1.33644i | ||||
\(101\) | 21.8408 | − | 47.2080i | 0.216245 | − | 0.467406i | −0.768847 | − | 0.639432i | \(-0.779169\pi\) |
0.985092 | + | 0.172026i | \(0.0550314\pi\) | |||||||
\(102\) | −0.415988 | − | 0.649508i | −0.00407831 | − | 0.00636772i | ||||
\(103\) | 31.7662 | − | 24.1481i | 0.308410 | − | 0.234447i | −0.439507 | − | 0.898239i | \(-0.644847\pi\) |
0.747918 | + | 0.663792i | \(0.231054\pi\) | |||||||
\(104\) | −5.17279 | − | 47.5631i | −0.0497384 | − | 0.457337i | ||||
\(105\) | 99.2978 | + | 18.9602i | 0.945694 | + | 0.180573i | ||||
\(106\) | 37.8791 | + | 95.0694i | 0.357350 | + | 0.896881i | ||||
\(107\) | 48.1302 | + | 13.3633i | 0.449815 | + | 0.124890i | 0.485046 | − | 0.874489i | \(-0.338803\pi\) |
−0.0352310 | + | 0.999379i | \(0.511217\pi\) | |||||||
\(108\) | 10.3203 | + | 53.0046i | 0.0955588 | + | 0.490784i | ||||
\(109\) | −72.8330 | − | 137.378i | −0.668193 | − | 1.26035i | −0.953351 | − | 0.301865i | \(-0.902391\pi\) |
0.285158 | − | 0.958480i | \(-0.407954\pi\) | |||||||
\(110\) | 25.7609 | − | 17.4663i | 0.234190 | − | 0.158785i | ||||
\(111\) | 107.762 | − | 96.8540i | 0.970827 | − | 0.872558i | ||||
\(112\) | −9.06244 | − | 10.6691i | −0.0809146 | − | 0.0952600i | ||||
\(113\) | 170.824 | + | 68.0626i | 1.51172 | + | 0.602324i | 0.971043 | − | 0.238906i | \(-0.0767888\pi\) |
0.540677 | + | 0.841230i | \(0.318168\pi\) | |||||||
\(114\) | 10.5591 | − | 28.8223i | 0.0926238 | − | 0.252827i | ||||
\(115\) | 138.831 | + | 83.5317i | 1.20722 | + | 0.726363i | ||||
\(116\) | 23.8103 | − | 70.6665i | 0.205261 | − | 0.609194i | ||||
\(117\) | 125.850 | − | 85.6620i | 1.07564 | − | 0.732154i | ||||
\(118\) | −1.73769 | − | 83.4205i | −0.0147262 | − | 0.706953i | ||||
\(119\) | 0.636223i | 0.00534641i | ||||||||
\(120\) | −81.6753 | − | 2.13838i | −0.680627 | − | 0.0178198i | ||||
\(121\) | −99.2034 | − | 59.6887i | −0.819863 | − | 0.493295i | ||||
\(122\) | −72.9656 | + | 95.9845i | −0.598078 | + | 0.786759i | ||||
\(123\) | 41.1045 | + | 3.30950i | 0.334183 | + | 0.0269065i | ||||
\(124\) | 3.13771 | + | 3.69400i | 0.0253041 | + | 0.0297903i | ||||
\(125\) | 172.695 | + | 373.275i | 1.38156 | + | 2.98620i | ||||
\(126\) | 16.4119 | − | 41.4092i | 0.130253 | − | 0.328645i | ||||
\(127\) | 4.88605 | + | 9.21607i | 0.0384729 | + | 0.0725675i | 0.902003 | − | 0.431730i | \(-0.142096\pi\) |
−0.863530 | + | 0.504297i | \(0.831752\pi\) | |||||||
\(128\) | 8.62288 | + | 7.32434i | 0.0673662 | + | 0.0572214i | ||||
\(129\) | −5.45274 | − | 194.760i | −0.0422693 | − | 1.50977i | ||||
\(130\) | 85.2570 | + | 213.979i | 0.655823 | + | 1.64599i | ||||
\(131\) | −12.2498 | − | 6.49442i | −0.0935097 | − | 0.0495757i | 0.420997 | − | 0.907062i | \(-0.361680\pi\) |
−0.514507 | + | 0.857486i | \(0.672025\pi\) | |||||||
\(132\) | −5.43054 | − | 12.5927i | −0.0411405 | − | 0.0953995i | ||||
\(133\) | −20.1569 | + | 15.3229i | −0.151556 | + | 0.115210i | ||||
\(134\) | 15.3432 | − | 4.26001i | 0.114501 | − | 0.0317911i | ||||
\(135\) | −116.145 | − | 232.592i | −0.860332 | − | 1.72290i | ||||
\(136\) | −0.0831885 | − | 0.507427i | −0.000611680 | − | 0.00373108i | ||||
\(137\) | −8.73923 | − | 39.7027i | −0.0637900 | − | 0.289801i | 0.933916 | − | 0.357492i | \(-0.116368\pi\) |
−0.997706 | + | 0.0676908i | \(0.978437\pi\) | |||||||
\(138\) | 47.6255 | − | 53.1829i | 0.345112 | − | 0.385383i | ||||
\(139\) | −101.185 | − | 11.0045i | −0.727949 | − | 0.0791692i | −0.263362 | − | 0.964697i | \(-0.584831\pi\) |
−0.464586 | + | 0.885528i | \(0.653797\pi\) | |||||||
\(140\) | 55.7817 | + | 37.8209i | 0.398441 | + | 0.270150i | ||||
\(141\) | −243.147 | + | 33.3528i | −1.72445 | + | 0.236545i | ||||
\(142\) | −2.81948 | − | 52.0022i | −0.0198555 | − | 0.366213i | ||||
\(143\) | −26.5878 | + | 28.0684i | −0.185929 | + | 0.196283i | ||||
\(144\) | −7.67513 | + | 35.1723i | −0.0532995 | + | 0.244252i | ||||
\(145\) | −19.4364 | + | 358.484i | −0.134044 | + | 2.47230i | ||||
\(146\) | −14.1082 | + | 64.0943i | −0.0966317 | + | 0.439002i | ||||
\(147\) | 89.4918 | − | 64.4051i | 0.608788 | − | 0.438130i | ||||
\(148\) | 91.5374 | − | 30.8425i | 0.618496 | − | 0.208395i | ||||
\(149\) | 6.52808 | − | 29.6574i | 0.0438126 | − | 0.199043i | −0.949630 | − | 0.313373i | \(-0.898541\pi\) |
0.993443 | + | 0.114330i | \(0.0364721\pi\) | |||||||
\(150\) | 278.732 | − | 69.5862i | 1.85821 | − | 0.463908i | ||||
\(151\) | −30.4723 | + | 28.8649i | −0.201804 | + | 0.191158i | −0.781927 | − | 0.623370i | \(-0.785763\pi\) |
0.580123 | + | 0.814529i | \(0.303004\pi\) | |||||||
\(152\) | 14.0729 | − | 14.8566i | 0.0925848 | − | 0.0977406i | ||||
\(153\) | 1.30075 | − | 0.992534i | 0.00850164 | − | 0.00648715i | ||||
\(154\) | −1.83009 | + | 11.1631i | −0.0118837 | + | 0.0724874i | ||||
\(155\) | −19.3135 | − | 13.0948i | −0.124603 | − | 0.0844829i | ||||
\(156\) | 99.6557 | − | 19.2160i | 0.638819 | − | 0.123180i | ||||
\(157\) | −84.4510 | + | 50.8125i | −0.537905 | + | 0.323646i | −0.758451 | − | 0.651730i | \(-0.774044\pi\) |
0.220546 | + | 0.975376i | \(0.429216\pi\) | |||||||
\(158\) | 0.0575802 | + | 0.261589i | 0.000364432 | + | 0.00165563i | ||||
\(159\) | −194.398 | + | 96.6326i | −1.22263 | + | 0.607752i | ||||
\(160\) | −49.4346 | − | 22.8709i | −0.308966 | − | 0.142943i | ||||
\(161\) | −56.7414 | + | 15.7542i | −0.352431 | + | 0.0978520i | ||||
\(162\) | −110.264 | + | 31.0461i | −0.680642 | + | 0.191642i | ||||
\(163\) | 188.696 | − | 20.5219i | 1.15764 | − | 0.125901i | 0.490919 | − | 0.871205i | \(-0.336661\pi\) |
0.666725 | + | 0.745304i | \(0.267695\pi\) | |||||||
\(164\) | 24.2892 | + | 12.8773i | 0.148105 | + | 0.0785203i | ||||
\(165\) | 41.4112 | + | 51.4223i | 0.250977 | + | 0.311650i | ||||
\(166\) | 18.5374 | − | 66.7656i | 0.111671 | − | 0.402202i | ||||
\(167\) | −212.879 | − | 180.821i | −1.27472 | − | 1.08276i | −0.992350 | − | 0.123456i | \(-0.960602\pi\) |
−0.282374 | − | 0.959304i | \(-0.591122\pi\) | |||||||
\(168\) | 20.9787 | − | 21.0168i | 0.124873 | − | 0.125100i | ||||
\(169\) | −65.7292 | − | 96.9433i | −0.388930 | − | 0.573629i | ||||
\(170\) | 1.03947 | + | 2.24677i | 0.00611451 | + | 0.0132163i | ||||
\(171\) | 62.7732 | + | 17.3063i | 0.367095 | + | 0.101206i | ||||
\(172\) | 48.0776 | − | 120.666i | 0.279521 | − | 0.701545i | ||||
\(173\) | 157.085 | − | 206.642i | 0.908006 | − | 1.19446i | −0.0723811 | − | 0.997377i | \(-0.523060\pi\) |
0.980387 | − | 0.197084i | \(-0.0631471\pi\) | |||||||
\(174\) | 153.546 | + | 38.0372i | 0.882446 | + | 0.218605i | ||||
\(175\) | −224.569 | − | 75.6663i | −1.28325 | − | 0.432379i | ||||
\(176\) | − | 9.14252i | − | 0.0519461i | ||||||
\(177\) | 176.062 | − | 18.1958i | 0.994702 | − | 0.102801i | ||||
\(178\) | 126.129 | 0.708589 | ||||||||
\(179\) | −83.1710 | + | 246.843i | −0.464642 | + | 1.37901i | 0.417779 | + | 0.908549i | \(0.362809\pi\) |
−0.882421 | + | 0.470460i | \(0.844088\pi\) | |||||||
\(180\) | −9.69729 | − | 173.047i | −0.0538738 | − | 0.961374i | ||||
\(181\) | −257.528 | − | 195.767i | −1.42280 | − | 1.08159i | −0.983023 | − | 0.183483i | \(-0.941263\pi\) |
−0.439781 | − | 0.898105i | \(-0.644944\pi\) | |||||||
\(182\) | −77.7713 | − | 30.9869i | −0.427315 | − | 0.170258i | ||||
\(183\) | −215.629 | − | 137.552i | −1.17830 | − | 0.751651i | ||||
\(184\) | 43.1948 | − | 19.9841i | 0.234755 | − | 0.108609i | ||||
\(185\) | −384.910 | + | 260.976i | −2.08060 | + | 1.41068i | ||||
\(186\) | −7.26351 | + | 7.27670i | −0.0390511 | + | 0.0391220i | ||||
\(187\) | −0.269003 | + | 0.316695i | −0.00143852 | + | 0.00169356i | ||||
\(188\) | −157.652 | − | 43.7718i | −0.838574 | − | 0.232829i | ||||
\(189\) | 90.4029 | + | 27.4890i | 0.478322 | + | 0.145444i | ||||
\(190\) | −46.1479 | + | 87.0443i | −0.242884 | + | 0.458128i | ||||
\(191\) | −7.13485 | − | 65.6038i | −0.0373552 | − | 0.343476i | −0.997869 | − | 0.0652442i | \(-0.979217\pi\) |
0.960514 | − | 0.278231i | \(-0.0897482\pi\) | |||||||
\(192\) | −13.9838 | + | 19.5052i | −0.0728322 | + | 0.101590i | ||||
\(193\) | −15.1862 | − | 54.6956i | −0.0786848 | − | 0.283397i | 0.913732 | − | 0.406318i | \(-0.133188\pi\) |
−0.992416 | + | 0.122921i | \(0.960774\pi\) | |||||||
\(194\) | 82.4636 | − | 178.242i | 0.425070 | − | 0.918774i | ||||
\(195\) | −437.545 | + | 217.497i | −2.24382 | + | 1.11537i | ||||
\(196\) | 71.7867 | − | 15.8015i | 0.366259 | − | 0.0806197i | ||||
\(197\) | −42.7145 | − | 70.9921i | −0.216825 | − | 0.360366i | 0.729286 | − | 0.684209i | \(-0.239853\pi\) |
−0.946111 | + | 0.323843i | \(0.895025\pi\) | |||||||
\(198\) | 25.6778 | − | 13.6732i | 0.129686 | − | 0.0690567i | ||||
\(199\) | 195.989 | − | 289.062i | 0.984869 | − | 1.45257i | 0.0954757 | − | 0.995432i | \(-0.469563\pi\) |
0.889394 | − | 0.457142i | \(-0.151127\pi\) | |||||||
\(200\) | 189.002 | + | 30.9853i | 0.945008 | + | 0.154926i | ||||
\(201\) | 11.6773 | + | 31.6964i | 0.0580961 | + | 0.157693i | ||||
\(202\) | 53.4050 | + | 50.5879i | 0.264381 | + | 0.250435i | ||||
\(203\) | −89.7334 | − | 94.7304i | −0.442036 | − | 0.466652i | ||||
\(204\) | 1.05830 | − | 0.264208i | 0.00518776 | − | 0.00129514i | ||||
\(205\) | −129.262 | − | 28.4527i | −0.630546 | − | 0.138794i | ||||
\(206\) | 18.0185 | + | 53.4769i | 0.0874683 | + | 0.259597i | ||||
\(207\) | 120.728 | + | 91.4300i | 0.583228 | + | 0.441691i | ||||
\(208\) | 66.0791 | + | 14.5451i | 0.317688 | + | 0.0699284i | ||||
\(209\) | −16.5123 | − | 0.895272i | −0.0790063 | − | 0.00428360i | ||||
\(210\) | −70.2491 | + | 124.516i | −0.334520 | + | 0.592932i | ||||
\(211\) | 252.979 | + | 239.635i | 1.19895 | + | 1.13571i | 0.987383 | + | 0.158347i | \(0.0506166\pi\) |
0.211571 | + | 0.977363i | \(0.432142\pi\) | |||||||
\(212\) | −144.515 | + | 7.83539i | −0.681675 | + | 0.0369594i | ||||
\(213\) | 109.451 | − | 15.0135i | 0.513852 | − | 0.0704859i | ||||
\(214\) | −39.6430 | + | 58.4690i | −0.185247 | + | 0.273220i | ||||
\(215\) | −67.6121 | + | 621.683i | −0.314475 | + | 2.89155i | ||||
\(216\) | −75.6962 | − | 10.1036i | −0.350445 | − | 0.0467761i | ||||
\(217\) | 8.28260 | − | 1.82314i | 0.0381687 | − | 0.00840156i | ||||
\(218\) | 217.000 | − | 35.5753i | 0.995412 | − | 0.163189i | ||||
\(219\) | −137.962 | − | 18.6695i | −0.629963 | − | 0.0852487i | ||||
\(220\) | 11.7755 | + | 42.4115i | 0.0535249 | + | 0.192779i | ||||
\(221\) | −1.86100 | − | 2.44810i | −0.00842082 | − | 0.0110774i | ||||
\(222\) | 81.1412 | + | 188.156i | 0.365501 | + | 0.847550i | ||||
\(223\) | −82.9794 | + | 156.516i | −0.372105 | + | 0.701864i | −0.996879 | − | 0.0789410i | \(-0.974846\pi\) |
0.624774 | + | 0.780805i | \(0.285191\pi\) | |||||||
\(224\) | 18.3908 | − | 7.32758i | 0.0821019 | − | 0.0327124i | ||||
\(225\) | 195.639 | + | 577.172i | 0.869506 | + | 2.56521i | ||||
\(226\) | −168.354 | + | 198.202i | −0.744929 | + | 0.876998i | ||||
\(227\) | 211.344 | − | 112.048i | 0.931033 | − | 0.493602i | 0.0674011 | − | 0.997726i | \(-0.478529\pi\) |
0.863631 | + | 0.504124i | \(0.168184\pi\) | |||||||
\(228\) | 33.8591 | + | 27.1662i | 0.148505 | + | 0.119150i | ||||
\(229\) | −119.236 | + | 55.1646i | −0.520682 | + | 0.240893i | −0.662584 | − | 0.748987i | \(-0.730540\pi\) |
0.141902 | + | 0.989881i | \(0.454678\pi\) | |||||||
\(230\) | −174.638 | + | 148.339i | −0.759297 | + | 0.644953i | ||||
\(231\) | −23.9191 | − | 1.92583i | −0.103546 | − | 0.00833692i | ||||
\(232\) | 83.9543 | + | 63.8204i | 0.361872 | + | 0.275088i | ||||
\(233\) | 193.568 | − | 321.712i | 0.830762 | − | 1.38074i | −0.0921577 | − | 0.995744i | \(-0.529376\pi\) |
0.922920 | − | 0.384993i | \(-0.125796\pi\) | |||||||
\(234\) | 57.9740 | + | 207.343i | 0.247752 | + | 0.886083i | ||||
\(235\) | 787.713 | 3.35197 | ||||||||
\(236\) | 112.583 | + | 35.3406i | 0.477049 | + | 0.149748i | ||||
\(237\) | −0.543020 | + | 0.167272i | −0.00229122 | + | 0.000705789i | ||||
\(238\) | −0.852656 | − | 0.287293i | −0.00358259 | − | 0.00120711i | ||||
\(239\) | −21.6774 | + | 36.0281i | −0.0907003 | + | 0.150745i | −0.898886 | − | 0.438183i | \(-0.855622\pi\) |
0.808186 | + | 0.588928i | \(0.200450\pi\) | |||||||
\(240\) | 39.7472 | − | 108.494i | 0.165613 | − | 0.452060i | ||||
\(241\) | −133.409 | + | 334.832i | −0.553566 | + | 1.38934i | 0.340006 | + | 0.940423i | \(0.389571\pi\) |
−0.893571 | + | 0.448921i | \(0.851808\pi\) | |||||||
\(242\) | 124.790 | − | 105.998i | 0.515662 | − | 0.438007i | ||||
\(243\) | −84.8314 | − | 227.712i | −0.349101 | − | 0.937085i | ||||
\(244\) | −95.6886 | − | 141.130i | −0.392166 | − | 0.578402i | ||||
\(245\) | −312.661 | + | 165.763i | −1.27617 | + | 0.676582i | ||||
\(246\) | −22.9965 | + | 53.5932i | −0.0934817 | + | 0.217858i | ||||
\(247\) | 32.7407 | − | 117.921i | 0.132553 | − | 0.477414i | ||||
\(248\) | −6.36751 | + | 2.53705i | −0.0256754 | + | 0.0102300i | ||||
\(249\) | 144.381 | + | 27.5684i | 0.579842 | + | 0.110717i | ||||
\(250\) | −578.239 | + | 62.8873i | −2.31296 | + | 0.251549i | ||||
\(251\) | −159.742 | − | 210.137i | −0.636423 | − | 0.837200i | 0.358943 | − | 0.933359i | \(-0.383137\pi\) |
−0.995366 | + | 0.0961596i | \(0.969344\pi\) | |||||||
\(252\) | 48.0850 | + | 40.6938i | 0.190813 | + | 0.161483i | ||||
\(253\) | −34.9054 | − | 16.1490i | −0.137966 | − | 0.0638299i | ||||
\(254\) | −14.5576 | + | 2.38659i | −0.0573133 | + | 0.00939604i | ||||
\(255\) | −4.56909 | + | 2.58873i | −0.0179180 | + | 0.0101519i | ||||
\(256\) | −13.7097 | + | 8.24886i | −0.0535536 | + | 0.0322221i | ||||
\(257\) | −32.7061 | + | 300.728i | −0.127261 | + | 1.17015i | 0.740110 | + | 0.672486i | \(0.234773\pi\) |
−0.867371 | + | 0.497661i | \(0.834192\pi\) | |||||||
\(258\) | 263.477 | + | 80.6383i | 1.02123 | + | 0.312552i | ||||
\(259\) | 27.3445 | − | 166.794i | 0.105577 | − | 0.643994i | ||||
\(260\) | −325.270 | + | 17.6356i | −1.25104 | + | 0.0678293i | ||||
\(261\) | −53.6874 | + | 331.242i | −0.205699 | + | 1.26913i | ||||
\(262\) | 14.2352 | − | 13.4843i | 0.0543329 | − | 0.0514669i | ||||
\(263\) | 365.775 | + | 19.8317i | 1.39078 | + | 0.0754058i | 0.734242 | − | 0.678888i | \(-0.237538\pi\) |
0.656537 | + | 0.754294i | \(0.272021\pi\) | |||||||
\(264\) | 19.3288 | − | 1.59155i | 0.0732151 | − | 0.00602858i | ||||
\(265\) | 660.303 | − | 222.482i | 2.49171 | − | 0.839555i | ||||
\(266\) | −11.4334 | − | 33.9332i | −0.0429829 | − | 0.127569i | ||||
\(267\) | 21.9567 | + | 266.657i | 0.0822349 | + | 0.998716i | ||||
\(268\) | −1.21917 | + | 22.4863i | −0.00454915 | + | 0.0839041i | ||||
\(269\) | −194.170 | − | 204.983i | −0.721821 | − | 0.762017i | 0.257072 | − | 0.966392i | \(-0.417242\pi\) |
−0.978893 | + | 0.204375i | \(0.934484\pi\) | |||||||
\(270\) | 364.163 | − | 50.6260i | 1.34875 | − | 0.187504i | ||||
\(271\) | 20.0800 | + | 370.354i | 0.0740960 | + | 1.36662i | 0.765166 | + | 0.643833i | \(0.222657\pi\) |
−0.691070 | + | 0.722788i | \(0.742860\pi\) | |||||||
\(272\) | 0.717610 | + | 0.117646i | 0.00263827 | + | 0.000432523i | ||||
\(273\) | 51.9729 | − | 169.816i | 0.190377 | − | 0.622035i | ||||
\(274\) | 57.1552 | + | 6.21600i | 0.208596 | + | 0.0226861i | ||||
\(275\) | −79.7921 | − | 132.615i | −0.290153 | − | 0.482238i | ||||
\(276\) | 49.7690 | + | 87.8422i | 0.180323 | + | 0.318269i | ||||
\(277\) | −16.0456 | − | 97.8739i | −0.0579264 | − | 0.353335i | −0.999847 | − | 0.0174993i | \(-0.994430\pi\) |
0.941921 | − | 0.335836i | \(-0.109019\pi\) | |||||||
\(278\) | 60.4392 | − | 130.637i | 0.217407 | − | 0.469918i | ||||
\(279\) | −16.6486 | − | 14.0895i | −0.0596724 | − | 0.0505001i | ||||
\(280\) | −75.8758 | + | 57.6793i | −0.270985 | + | 0.205998i | ||||
\(281\) | −32.8460 | − | 302.014i | −0.116890 | − | 1.07478i | −0.894818 | − | 0.446431i | \(-0.852695\pi\) |
0.777928 | − | 0.628353i | \(-0.216271\pi\) | |||||||
\(282\) | 65.0966 | − | 340.922i | 0.230839 | − | 1.20894i | ||||
\(283\) | −191.790 | − | 481.357i | −0.677703 | − | 1.70091i | −0.712651 | − | 0.701518i | \(-0.752506\pi\) |
0.0349480 | − | 0.999389i | \(-0.488873\pi\) | |||||||
\(284\) | 70.9657 | + | 19.7035i | 0.249879 | + | 0.0693787i | ||||
\(285\) | −192.059 | − | 82.4116i | −0.673893 | − | 0.289163i | ||||
\(286\) | −25.6108 | − | 48.3072i | −0.0895484 | − | 0.168906i | ||||
\(287\) | 39.8162 | − | 26.9961i | 0.138732 | − | 0.0940629i | ||||
\(288\) | −43.6716 | − | 26.1685i | −0.151637 | − | 0.0908629i | ||||
\(289\) | 187.073 | + | 220.240i | 0.647312 | + | 0.762075i | ||||
\(290\) | −471.658 | − | 187.926i | −1.62641 | − | 0.648019i | ||||
\(291\) | 391.189 | + | 143.313i | 1.34429 | + | 0.492484i | ||||
\(292\) | −79.5274 | − | 47.8501i | −0.272354 | − | 0.163870i | ||||
\(293\) | 60.3773 | − | 179.193i | 0.206066 | − | 0.611582i | −0.793928 | − | 0.608012i | \(-0.791967\pi\) |
0.999994 | − | 0.00356961i | \(-0.00113625\pi\) | |||||||
\(294\) | 45.9037 | + | 149.018i | 0.156135 | + | 0.506865i | ||||
\(295\) | −567.785 | − | 18.9357i | −1.92469 | − | 0.0641890i | ||||
\(296\) | 136.604i | 0.461501i | ||||||||
\(297\) | 33.3775 | + | 51.9068i | 0.112382 | + | 0.174770i | ||||
\(298\) | 36.7985 | + | 22.1409i | 0.123485 | + | 0.0742984i | ||||
\(299\) | 172.251 | − | 226.593i | 0.576092 | − | 0.757835i | ||||
\(300\) | −32.6062 | + | 404.975i | −0.108687 | + | 1.34992i | ||||
\(301\) | −147.141 | − | 173.228i | −0.488841 | − | 0.575508i | ||||
\(302\) | −24.9242 | − | 53.8728i | −0.0825305 | − | 0.178387i | ||||
\(303\) | −97.6544 | + | 121.713i | −0.322292 | + | 0.401694i | ||||
\(304\) | 13.5558 | + | 25.5689i | 0.0445913 | + | 0.0841082i | ||||
\(305\) | 625.667 | + | 531.446i | 2.05137 | + | 1.74245i | ||||
\(306\) | 0.742811 | + | 2.19143i | 0.00242749 | + | 0.00716155i | ||||
\(307\) | 142.898 | + | 358.646i | 0.465464 | + | 1.16823i | 0.955096 | + | 0.296298i | \(0.0957520\pi\) |
−0.489631 | + | 0.871930i | \(0.662869\pi\) | |||||||
\(308\) | −14.1342 | − | 7.49345i | −0.0458901 | − | 0.0243294i | ||||
\(309\) | −109.922 | + | 47.4034i | −0.355736 | + | 0.153409i | ||||
\(310\) | 26.2707 | − | 19.9705i | 0.0847442 | − | 0.0644209i | ||||
\(311\) | 7.95067 | − | 2.20749i | 0.0255649 | − | 0.00709805i | −0.254722 | − | 0.967014i | \(-0.581984\pi\) |
0.280287 | + | 0.959916i | \(0.409570\pi\) | |||||||
\(312\) | −19.2476 | + | 142.234i | −0.0616910 | + | 0.455879i | ||||
\(313\) | 7.85481 | + | 47.9122i | 0.0250953 | + | 0.153074i | 0.996402 | − | 0.0847575i | \(-0.0270116\pi\) |
−0.971306 | + | 0.237832i | \(0.923563\pi\) | |||||||
\(314\) | −29.9633 | − | 136.125i | −0.0954246 | − | 0.433519i | ||||
\(315\) | −275.476 | − | 126.842i | −0.874527 | − | 0.402674i | ||||
\(316\) | −0.376579 | − | 0.0409554i | −0.00119171 | − | 0.000129606i | ||||
\(317\) | −168.780 | − | 114.435i | −0.532428 | − | 0.360995i | 0.265154 | − | 0.964206i | \(-0.414577\pi\) |
−0.797581 | + | 0.603211i | \(0.793888\pi\) | |||||||
\(318\) | −41.7228 | − | 304.165i | −0.131204 | − | 0.956494i | ||||
\(319\) | −4.61370 | − | 85.0947i | −0.0144630 | − | 0.266755i | ||||
\(320\) | 52.9739 | − | 55.9239i | 0.165543 | − | 0.174762i | ||||
\(321\) | −130.514 | − | 73.6334i | −0.406586 | − | 0.229387i | ||||
\(322\) | 4.50869 | − | 83.1578i | 0.0140021 | − | 0.258254i | ||||
\(323\) | 0.282752 | − | 1.28456i | 0.000875394 | − | 0.00397696i | ||||
\(324\) | 8.18343 | − | 161.793i | 0.0252575 | − | 0.499362i | ||||
\(325\) | 1085.44 | − | 365.729i | 3.33983 | − | 1.12532i | ||||
\(326\) | −57.7045 | + | 262.154i | −0.177008 | + | 0.804154i | ||||
\(327\) | 112.988 | + | 452.580i | 0.345528 | + | 1.38404i | ||||
\(328\) | −28.2261 | + | 26.7371i | −0.0860551 | + | 0.0815157i | ||||
\(329\) | −196.886 | + | 207.850i | −0.598438 | + | 0.631764i | ||||
\(330\) | −87.6150 | + | 32.2784i | −0.265500 | + | 0.0978133i | ||||
\(331\) | −45.7774 | + | 279.230i | −0.138300 | + | 0.843595i | 0.822990 | + | 0.568056i | \(0.192304\pi\) |
−0.961290 | + | 0.275538i | \(0.911144\pi\) | |||||||
\(332\) | 81.1074 | + | 54.9922i | 0.244300 | + | 0.165639i | ||||
\(333\) | −383.668 | + | 204.300i | −1.15216 | + | 0.613515i | ||||
\(334\) | 338.461 | − | 203.645i | 1.01336 | − | 0.609716i | ||||
\(335\) | −23.3065 | − | 105.883i | −0.0695717 | − | 0.316067i | ||||
\(336\) | 18.6932 | + | 37.6057i | 0.0556346 | + | 0.111922i | ||||
\(337\) | −32.6620 | − | 15.1110i | −0.0969197 | − | 0.0448398i | 0.370830 | − | 0.928701i | \(-0.379073\pi\) |
−0.467750 | + | 0.883861i | \(0.654935\pi\) | |||||||
\(338\) | 159.603 | − | 44.3134i | 0.472197 | − | 0.131105i | ||||
\(339\) | −448.338 | − | 321.425i | −1.32253 | − | 0.948156i | ||||
\(340\) | −3.48047 | + | 0.378524i | −0.0102367 | + | 0.00111331i | ||||
\(341\) | 4.89371 | + | 2.59448i | 0.0143510 | + | 0.00760844i | ||||
\(342\) | −51.5395 | + | 76.3128i | −0.150700 | + | 0.223137i | ||||
\(343\) | 80.2858 | − | 289.163i | 0.234069 | − | 0.843042i | ||||
\(344\) | 140.004 | + | 118.921i | 0.406989 | + | 0.345700i | ||||
\(345\) | −344.015 | − | 343.391i | −0.997145 | − | 0.995337i | ||||
\(346\) | 206.005 | + | 303.834i | 0.595389 | + | 0.878133i | ||||
\(347\) | −153.094 | − | 330.906i | −0.441192 | − | 0.953621i | −0.992830 | − | 0.119537i | \(-0.961859\pi\) |
0.551638 | − | 0.834084i | \(-0.314003\pi\) | |||||||
\(348\) | −120.312 | + | 188.603i | −0.345724 | + | 0.541963i | ||||
\(349\) | 58.5181 | − | 146.869i | 0.167674 | − | 0.420829i | −0.820997 | − | 0.570933i | \(-0.806582\pi\) |
0.988670 | + | 0.150104i | \(0.0479609\pi\) | |||||||
\(350\) | 202.813 | − | 266.797i | 0.579467 | − | 0.762276i | ||||
\(351\) | −428.266 | + | 158.661i | −1.22013 | + | 0.452027i | ||||
\(352\) | 12.2527 | + | 4.12840i | 0.0348087 | + | 0.0117284i | ||||
\(353\) | 359.023i | 1.01706i | 0.861044 | + | 0.508531i | \(0.169811\pi\) | ||||
−0.861044 | + | 0.508531i | \(0.830189\pi\) | |||||||
\(354\) | −55.1171 | + | 244.172i | −0.155698 | + | 0.689752i | ||||
\(355\) | −354.583 | −0.998825 | ||||||||
\(356\) | −56.9548 | + | 169.036i | −0.159985 | + | 0.474820i | ||||
\(357\) | 0.458954 | − | 1.85267i | 0.00128558 | − | 0.00518955i | ||||
\(358\) | −293.258 | − | 222.929i | −0.819156 | − | 0.622706i | ||||
\(359\) | −70.8533 | − | 28.2305i | −0.197363 | − | 0.0786366i | 0.269362 | − | 0.963039i | \(-0.413187\pi\) |
−0.466725 | + | 0.884402i | \(0.654566\pi\) | |||||||
\(360\) | 236.294 | + | 65.1452i | 0.656373 | + | 0.180959i | ||||
\(361\) | −280.127 | + | 129.601i | −0.775976 | + | 0.359005i | ||||
\(362\) | 378.654 | − | 256.733i | 1.04600 | − | 0.709209i | ||||
\(363\) | 245.820 | + | 245.375i | 0.677191 | + | 0.675964i | ||||
\(364\) | 76.6466 | − | 90.2354i | 0.210568 | − | 0.247899i | ||||
\(365\) | 430.552 | + | 119.542i | 1.17960 | + | 0.327513i | ||||
\(366\) | 281.715 | − | 226.870i | 0.769712 | − | 0.619862i | ||||
\(367\) | 93.2397 | − | 175.869i | 0.254059 | − | 0.479206i | −0.723373 | − | 0.690458i | \(-0.757409\pi\) |
0.977432 | + | 0.211252i | \(0.0677540\pi\) | |||||||
\(368\) | 7.27723 | + | 66.9130i | 0.0197751 | + | 0.181829i | ||||
\(369\) | −117.308 | − | 39.2888i | −0.317908 | − | 0.106474i | ||||
\(370\) | −175.945 | − | 633.697i | −0.475527 | − | 1.71269i | ||||
\(371\) | −106.335 | + | 229.840i | −0.286618 | + | 0.619514i | ||||
\(372\) | −6.47220 | − | 13.0203i | −0.0173984 | − | 0.0350008i | ||||
\(373\) | −360.326 | + | 79.3138i | −0.966023 | + | 0.212638i | −0.669850 | − | 0.742497i | \(-0.733641\pi\) |
−0.296173 | + | 0.955134i | \(0.595710\pi\) | |||||||
\(374\) | −0.302958 | − | 0.503521i | −0.000810049 | − | 0.00134631i | ||||
\(375\) | −233.615 | − | 1211.55i | −0.622973 | − | 3.23079i | ||||
\(376\) | 129.852 | − | 191.517i | 0.345350 | − | 0.509354i | ||||
\(377\) | 622.376 | + | 102.033i | 1.65087 | + | 0.270646i | ||||
\(378\) | −77.6627 | + | 108.744i | −0.205457 | + | 0.287682i | ||||
\(379\) | −536.594 | − | 508.289i | −1.41581 | − | 1.34113i | −0.860460 | − | 0.509517i | \(-0.829824\pi\) |
−0.555354 | − | 0.831614i | \(-0.687417\pi\) | |||||||
\(380\) | −95.8167 | − | 101.152i | −0.252149 | − | 0.266191i | ||||
\(381\) | −7.57987 | − | 30.3617i | −0.0198947 | − | 0.0796894i | ||||
\(382\) | 91.1430 | + | 20.0621i | 0.238594 | + | 0.0525186i | ||||
\(383\) | 16.3291 | + | 48.4632i | 0.0426348 | + | 0.126536i | 0.966856 | − | 0.255321i | \(-0.0821812\pi\) |
−0.924221 | + | 0.381857i | \(0.875285\pi\) | |||||||
\(384\) | −19.8261 | − | 27.5486i | −0.0516304 | − | 0.0717412i | ||||
\(385\) | 75.2188 | + | 16.5569i | 0.195373 | + | 0.0430050i | ||||
\(386\) | 80.1597 | + | 4.34613i | 0.207668 | + | 0.0112594i | ||||
\(387\) | −124.616 | + | 571.071i | −0.322006 | + | 1.47564i | ||||
\(388\) | 201.640 | + | 191.003i | 0.519691 | + | 0.492277i | ||||
\(389\) | 322.357 | − | 17.4777i | 0.828681 | − | 0.0449298i | 0.365083 | − | 0.930975i | \(-0.381041\pi\) |
0.463599 | + | 0.886045i | \(0.346558\pi\) | |||||||
\(390\) | −93.9082 | − | 684.604i | −0.240790 | − | 1.75540i | ||||
\(391\) | 1.71672 | − | 2.53197i | 0.00439059 | − | 0.00647564i | ||||
\(392\) | −11.2392 | + | 103.343i | −0.0286714 | + | 0.263629i | ||||
\(393\) | 30.9862 | + | 27.7483i | 0.0788453 | + | 0.0706062i | ||||
\(394\) | 114.431 | − | 25.1881i | 0.290433 | − | 0.0639292i | ||||
\(395\) | 1.79967 | − | 0.295041i | 0.00455613 | − | 0.000746940i | ||||
\(396\) | 6.72958 | + | 40.5872i | 0.0169939 | + | 0.102493i | ||||
\(397\) | −40.3263 | − | 145.242i | −0.101578 | − | 0.365850i | 0.895238 | − | 0.445588i | \(-0.147005\pi\) |
−0.996816 | + | 0.0797383i | \(0.974592\pi\) | |||||||
\(398\) | 298.896 | + | 393.190i | 0.750994 | + | 0.987916i | ||||
\(399\) | 69.7501 | − | 30.0793i | 0.174812 | − | 0.0753868i | ||||
\(400\) | −126.872 | + | 239.305i | −0.317179 | + | 0.598263i | ||||
\(401\) | 206.835 | − | 82.4106i | 0.515798 | − | 0.205513i | −0.0976898 | − | 0.995217i | \(-0.531145\pi\) |
0.613488 | + | 0.789704i | \(0.289766\pi\) | |||||||
\(402\) | −47.7520 | + | 1.33692i | −0.118786 | + | 0.00332568i | ||||
\(403\) | −26.5376 | + | 31.2424i | −0.0658501 | + | 0.0775247i | ||||
\(404\) | −91.9127 | + | 48.7290i | −0.227507 | + | 0.120616i | ||||
\(405\) | 170.426 | + | 761.087i | 0.420805 | + | 1.87923i | ||||
\(406\) | 167.476 | − | 77.4828i | 0.412503 | − | 0.190844i | ||||
\(407\) | 84.1341 | − | 71.4642i | 0.206718 | − | 0.175588i | ||||
\(408\) | −0.123801 | + | 1.53763i | −0.000303433 | + | 0.00376869i | ||||
\(409\) | −459.671 | − | 349.433i | −1.12389 | − | 0.854359i | −0.133281 | − | 0.991078i | \(-0.542551\pi\) |
−0.990610 | + | 0.136719i | \(0.956344\pi\) | |||||||
\(410\) | 96.5014 | − | 160.387i | 0.235369 | − | 0.391187i | ||||
\(411\) | −3.19198 | + | 121.918i | −0.00776638 | + | 0.296637i | ||||
\(412\) | −79.8054 | −0.193702 | ||||||||
\(413\) | 146.912 | − | 145.086i | 0.355720 | − | 0.351297i | ||||
\(414\) | −177.049 | + | 120.512i | −0.427655 | + | 0.291091i | ||||
\(415\) | −447.081 | − | 150.639i | −1.07730 | − | 0.362986i | ||||
\(416\) | −49.3318 | + | 81.9901i | −0.118586 | + | 0.197092i | ||||
\(417\) | 286.710 | + | 105.037i | 0.687554 | + | 0.251887i | ||||
\(418\) | 8.65614 | − | 21.7253i | 0.0207085 | − | 0.0519743i | ||||
\(419\) | 133.654 | − | 113.527i | 0.318983 | − | 0.270947i | −0.473561 | − | 0.880761i | \(-0.657032\pi\) |
0.792544 | + | 0.609814i | \(0.208756\pi\) | |||||||
\(420\) | −135.152 | − | 150.373i | −0.321791 | − | 0.358031i | ||||
\(421\) | −36.7386 | − | 54.1854i | −0.0872651 | − | 0.128706i | 0.781551 | − | 0.623841i | \(-0.214429\pi\) |
−0.868816 | + | 0.495135i | \(0.835119\pi\) | |||||||
\(422\) | −435.390 | + | 230.829i | −1.03173 | + | 0.546989i | ||||
\(423\) | 732.098 | + | 78.2767i | 1.73073 | + | 0.185051i | ||||
\(424\) | 54.7565 | − | 197.215i | 0.129143 | − | 0.465130i | ||||
\(425\) | 11.4360 | − | 4.55650i | 0.0269081 | − | 0.0107212i | ||||
\(426\) | −29.3027 | + | 153.463i | −0.0687857 | + | 0.360243i | ||||
\(427\) | −296.613 | + | 32.2586i | −0.694645 | + | 0.0755472i | ||||
\(428\) | −60.4580 | − | 79.5311i | −0.141257 | − | 0.185820i | ||||
\(429\) | 97.6709 | − | 62.5549i | 0.227671 | − | 0.145816i | ||||
\(430\) | −802.638 | − | 371.340i | −1.86660 | − | 0.863581i | ||||
\(431\) | 131.377 | − | 21.5381i | 0.304819 | − | 0.0499725i | −0.00743156 | − | 0.999972i | \(-0.502366\pi\) |
0.312250 | + | 0.950000i | \(0.398917\pi\) | |||||||
\(432\) | 47.7222 | − | 96.8844i | 0.110468 | − | 0.224270i | ||||
\(433\) | 346.791 | − | 208.657i | 0.800903 | − | 0.481887i | −0.0553360 | − | 0.998468i | \(-0.517623\pi\) |
0.856238 | + | 0.516581i | \(0.172795\pi\) | |||||||
\(434\) | −1.29676 | + | 11.9235i | −0.00298792 | + | 0.0274734i | ||||
\(435\) | 315.199 | − | 1029.88i | 0.724595 | − | 2.36753i | ||||
\(436\) | −50.3111 | + | 306.884i | −0.115392 | + | 0.703862i | ||||
\(437\) | 121.564 | − | 6.59103i | 0.278179 | − | 0.0150824i | ||||
\(438\) | 87.3187 | − | 176.464i | 0.199358 | − | 0.402886i | ||||
\(439\) | 231.137 | − | 218.945i | 0.526508 | − | 0.498735i | −0.377641 | − | 0.925952i | \(-0.623265\pi\) |
0.904149 | + | 0.427217i | \(0.140506\pi\) | |||||||
\(440\) | −62.1565 | − | 3.37003i | −0.141265 | − | 0.00765915i | ||||
\(441\) | −307.058 | + | 122.989i | −0.696278 | + | 0.278887i | ||||
\(442\) | 4.12126 | − | 1.38862i | 0.00932413 | − | 0.00314166i | ||||
\(443\) | 98.9135 | + | 293.565i | 0.223281 | + | 0.662674i | 0.999482 | + | 0.0321886i | \(0.0102477\pi\) |
−0.776201 | + | 0.630486i | \(0.782856\pi\) | |||||||
\(444\) | −288.804 | + | 23.7803i | −0.650459 | + | 0.0535592i | ||||
\(445\) | 46.4924 | − | 857.502i | 0.104477 | − | 1.92697i | ||||
\(446\) | −172.290 | − | 181.884i | −0.386300 | − | 0.407812i | ||||
\(447\) | −40.4036 | + | 81.6525i | −0.0903884 | + | 0.182668i | ||||
\(448\) | 1.51573 | + | 27.9559i | 0.00338332 | + | 0.0624016i | ||||
\(449\) | −570.221 | − | 93.4829i | −1.26998 | − | 0.208202i | −0.511149 | − | 0.859492i | \(-0.670780\pi\) |
−0.758829 | + | 0.651289i | \(0.774228\pi\) | |||||||
\(450\) | −861.860 | + | 1.56379i | −1.91524 | + | 0.00347509i | ||||
\(451\) | 31.2337 | + | 3.39687i | 0.0692544 | + | 0.00753187i | ||||
\(452\) | −189.605 | − | 315.125i | −0.419479 | − | 0.697180i | ||||
\(453\) | 109.557 | − | 62.0722i | 0.241848 | − | 0.137025i | ||||
\(454\) | 54.7297 | + | 333.837i | 0.120550 | + | 0.735323i | ||||
\(455\) | −239.336 | + | 517.315i | −0.526012 | + | 1.13696i | ||||
\(456\) | −51.6971 | + | 33.1102i | −0.113371 | + | 0.0726101i | ||||
\(457\) | −685.766 | + | 521.306i | −1.50058 | + | 1.14071i | −0.547982 | + | 0.836490i | \(0.684604\pi\) |
−0.952601 | + | 0.304223i | \(0.901603\pi\) | |||||||
\(458\) | −20.0883 | − | 184.709i | −0.0438609 | − | 0.403294i | ||||
\(459\) | −4.50375 | + | 1.95191i | −0.00981208 | + | 0.00425253i | ||||
\(460\) | −119.942 | − | 301.032i | −0.260743 | − | 0.654417i | ||||
\(461\) | −356.602 | − | 99.0101i | −0.773540 | − | 0.214772i | −0.141740 | − | 0.989904i | \(-0.545270\pi\) |
−0.631800 | + | 0.775132i | \(0.717684\pi\) | |||||||
\(462\) | 13.3819 | − | 31.1864i | 0.0289652 | − | 0.0675030i | ||||
\(463\) | −352.006 | − | 663.954i | −0.760272 | − | 1.43403i | −0.896359 | − | 0.443328i | \(-0.853798\pi\) |
0.136087 | − | 0.990697i | \(-0.456547\pi\) | |||||||
\(464\) | −123.442 | + | 83.6954i | −0.266038 | + | 0.180378i | ||||
\(465\) | 46.7941 | + | 52.0641i | 0.100633 | + | 0.111966i | ||||
\(466\) | 343.745 | + | 404.688i | 0.737651 | + | 0.868430i | ||||
\(467\) | 469.371 | + | 187.015i | 1.00508 | + | 0.400460i | 0.813843 | − | 0.581085i | \(-0.197372\pi\) |
0.191235 | + | 0.981544i | \(0.438751\pi\) | |||||||
\(468\) | −304.057 | − | 15.9322i | −0.649695 | − | 0.0340433i | ||||
\(469\) | 33.7641 | + | 20.3152i | 0.0719917 | + | 0.0433160i | ||||
\(470\) | −355.700 | + | 1055.68i | −0.756809 | + | 2.24613i | ||||
\(471\) | 282.574 | − | 87.0443i | 0.599945 | − | 0.184807i | ||||
\(472\) | −98.2011 | + | 134.924i | −0.208053 | + | 0.285856i | ||||
\(473\) | − | 148.441i | − | 0.313829i | ||||||
\(474\) | 0.0210310 | − | 0.803280i | 4.43693e−5 | − | 0.00169468i | ||||
\(475\) | 419.786 | + | 252.577i | 0.883760 | + | 0.531741i | ||||
\(476\) | 0.770052 | − | 1.01299i | 0.00161776 | − | 0.00212812i | ||||
\(477\) | 635.792 | − | 141.158i | 1.33290 | − | 0.295930i | ||||
\(478\) | −38.4956 | − | 45.3205i | −0.0805347 | − | 0.0948128i | ||||
\(479\) | 68.1254 | + | 147.251i | 0.142224 | + | 0.307413i | 0.965577 | − | 0.260117i | \(-0.0837612\pi\) |
−0.823353 | + | 0.567530i | \(0.807899\pi\) | |||||||
\(480\) | 127.454 | + | 102.260i | 0.265529 | + | 0.213042i | ||||
\(481\) | 382.668 | + | 721.788i | 0.795567 | + | 1.50060i | ||||
\(482\) | −388.494 | − | 329.990i | −0.806005 | − | 0.684626i | ||||
\(483\) | 176.594 | − | 4.94415i | 0.365620 | − | 0.0102363i | ||||
\(484\) | 85.7062 | + | 215.106i | 0.177079 | + | 0.444434i | ||||
\(485\) | −1181.40 | − | 626.340i | −2.43588 | − | 1.29142i | ||||
\(486\) | 343.482 | − | 10.8641i | 0.706753 | − | 0.0223541i | ||||
\(487\) | −424.384 | + | 322.609i | −0.871426 | + | 0.662441i | −0.942200 | − | 0.335052i | \(-0.891246\pi\) |
0.0707741 | + | 0.997492i | \(0.477453\pi\) | |||||||
\(488\) | 232.349 | − | 64.5115i | 0.476126 | − | 0.132196i | ||||
\(489\) | −564.283 | − | 76.3606i | −1.15395 | − | 0.156157i | ||||
\(490\) | −80.9668 | − | 493.875i | −0.165238 | − | 1.00791i | ||||
\(491\) | −131.103 | − | 595.605i | −0.267011 | − | 1.21305i | −0.898959 | − | 0.438034i | \(-0.855675\pi\) |
0.631947 | − | 0.775011i | \(-0.282256\pi\) | |||||||
\(492\) | −61.4404 | − | 55.0201i | −0.124879 | − | 0.111829i | ||||
\(493\) | 6.73858 | + | 0.732865i | 0.0136685 | + | 0.00148654i | ||||
\(494\) | 143.252 | + | 97.1271i | 0.289983 | + | 0.196613i | ||||
\(495\) | −83.4940 | − | 179.613i | −0.168675 | − | 0.362855i | ||||
\(496\) | −0.524794 | − | 9.67926i | −0.00105805 | − | 0.0195146i | ||||
\(497\) | 88.6267 | − | 93.5621i | 0.178323 | − | 0.188254i | ||||
\(498\) | −102.143 | + | 181.048i | −0.205107 | + | 0.363550i | ||||
\(499\) | −33.6015 | + | 619.742i | −0.0673376 | + | 1.24197i | 0.748282 | + | 0.663381i | \(0.230879\pi\) |
−0.815620 | + | 0.578588i | \(0.803604\pi\) | |||||||
\(500\) | 176.829 | − | 803.344i | 0.353659 | − | 1.60669i | ||||
\(501\) | 489.460 | + | 680.112i | 0.976965 | + | 1.35751i | ||||
\(502\) | 353.756 | − | 119.194i | 0.704693 | − | 0.237439i | ||||
\(503\) | −36.4408 | + | 165.552i | −0.0724470 | + | 0.329130i | −0.998879 | − | 0.0473316i | \(-0.984928\pi\) |
0.926432 | + | 0.376462i | \(0.122859\pi\) | |||||||
\(504\) | −76.2504 | + | 46.0670i | −0.151291 | + | 0.0914028i | ||||
\(505\) | 363.614 | − | 344.433i | 0.720027 | − | 0.682046i | ||||
\(506\) | 37.4045 | − | 39.4874i | 0.0739219 | − | 0.0780384i | ||||
\(507\) | 121.470 | + | 329.712i | 0.239586 | + | 0.650320i | ||||
\(508\) | 3.37515 | − | 20.5875i | 0.00664401 | − | 0.0405266i | ||||
\(509\) | 76.4324 | + | 51.8224i | 0.150162 | + | 0.101812i | 0.633954 | − | 0.773370i | \(-0.281431\pi\) |
−0.483792 | + | 0.875183i | \(0.660741\pi\) | |||||||
\(510\) | −1.40615 | − | 7.29239i | −0.00275715 | − | 0.0142988i | ||||
\(511\) | −139.158 | + | 83.7286i | −0.272325 | + | 0.163853i | ||||
\(512\) | −4.86423 | − | 22.0984i | −0.00950044 | − | 0.0431609i | ||||
\(513\) | −170.310 | − | 95.6783i | −0.331988 | − | 0.186508i | ||||
\(514\) | −388.262 | − | 179.629i | −0.755373 | − | 0.349473i | ||||
\(515\) | 370.211 | − | 102.789i | 0.718857 | − | 0.199590i | ||||
\(516\) | −227.046 | + | 316.694i | −0.440011 | + | 0.613748i | ||||
\(517\) | −185.886 | + | 20.2164i | −0.359548 | + | 0.0391032i | ||||
\(518\) | 211.187 | + | 111.964i | 0.407698 | + | 0.216148i | ||||
\(519\) | −606.494 | + | 488.420i | −1.16858 | + | 0.941078i | ||||
\(520\) | 123.244 | − | 443.885i | 0.237008 | − | 0.853625i | ||||
\(521\) | 306.205 | + | 260.093i | 0.587726 | + | 0.499219i | 0.891194 | − | 0.453623i | \(-0.149869\pi\) |
−0.303468 | + | 0.952842i | \(0.598144\pi\) | |||||||
\(522\) | −419.682 | − | 221.527i | −0.803989 | − | 0.424381i | ||||
\(523\) | −417.439 | − | 615.676i | −0.798162 | − | 1.17720i | −0.980990 | − | 0.194056i | \(-0.937836\pi\) |
0.182829 | − | 0.983145i | \(-0.441475\pi\) | |||||||
\(524\) | 11.6434 | + | 25.1668i | 0.0222202 | + | 0.0480283i | ||||
\(525\) | 599.358 | + | 382.337i | 1.14163 | + | 0.728260i | ||||
\(526\) | −191.748 | + | 481.250i | −0.364539 | + | 0.914924i | ||||
\(527\) | −0.266617 | + | 0.350729i | −0.000505915 | + | 0.000665519i | ||||
\(528\) | −6.59516 | + | 26.6228i | −0.0124908 | + | 0.0504220i | ||||
\(529\) | −232.986 | − | 78.5020i | −0.440427 | − | 0.148397i | ||||
\(530\) | 985.392i | 1.85923i | ||||||||
\(531\) | −525.815 | − | 74.0207i | −0.990236 | − | 0.139399i | ||||
\(532\) | 50.6397 | 0.0951874 | ||||||||
\(533\) | −74.2421 | + | 220.343i | −0.139291 | + | 0.413401i | ||||
\(534\) | −367.285 | − | 90.9858i | −0.687799 | − | 0.170385i | ||||
\(535\) | 382.896 | + | 291.070i | 0.715693 | + | 0.544055i | ||||
\(536\) | −29.5853 | − | 11.7878i | −0.0551964 | − | 0.0219922i | ||||
\(537\) | 420.257 | − | 658.803i | 0.782602 | − | 1.22682i | ||||
\(538\) | 362.394 | − | 167.661i | 0.673594 | − | 0.311638i | ||||
\(539\) | 69.5283 | − | 47.1413i | 0.128995 | − | 0.0874607i | ||||
\(540\) | −96.5932 | + | 510.905i | −0.178876 | + | 0.946121i | ||||
\(541\) | 209.554 | − | 246.707i | 0.387347 | − | 0.456020i | −0.533584 | − | 0.845747i | \(-0.679155\pi\) |
0.920930 | + | 0.389728i | \(0.127431\pi\) | |||||||
\(542\) | −505.410 | − | 140.326i | −0.932491 | − | 0.258905i | ||||
\(543\) | 608.694 | + | 755.844i | 1.12098 | + | 1.39198i | ||||
\(544\) | −0.481712 | + | 0.908606i | −0.000885500 | + | 0.00167023i | ||||
\(545\) | −161.875 | − | 1488.41i | −0.297018 | − | 2.73103i | ||||
\(546\) | 204.115 | + | 146.335i | 0.373838 | + | 0.268013i | ||||
\(547\) | −241.323 | − | 869.167i | −0.441175 | − | 1.58897i | −0.765768 | − | 0.643116i | \(-0.777641\pi\) |
0.324593 | − | 0.945854i | \(-0.394773\pi\) | |||||||
\(548\) | −34.1396 | + | 73.7916i | −0.0622986 | + | 0.134656i | ||||
\(549\) | 528.681 | + | 556.098i | 0.962990 | + | 1.01293i | ||||
\(550\) | 213.760 | − | 47.0521i | 0.388655 | − | 0.0855494i | ||||
\(551\) | 139.075 | + | 231.144i | 0.252404 | + | 0.419498i | ||||
\(552\) | −140.198 | + | 27.0336i | −0.253983 | + | 0.0489739i | ||||
\(553\) | −0.371970 | + | 0.548615i | −0.000672641 | + | 0.000992071i | ||||
\(554\) | 138.415 | + | 22.6919i | 0.249846 | + | 0.0409601i | ||||
\(555\) | 1309.11 | − | 482.292i | 2.35876 | − | 0.868994i | ||||
\(556\) | 147.786 | + | 139.990i | 0.265802 | + | 0.251781i | ||||
\(557\) | −256.941 | − | 271.249i | −0.461295 | − | 0.486983i | 0.453298 | − | 0.891359i | \(-0.350247\pi\) |
−0.914593 | + | 0.404376i | \(0.867489\pi\) | |||||||
\(558\) | 26.4004 | − | 15.9499i | 0.0473125 | − | 0.0285841i | ||||
\(559\) | 1072.88 | + | 236.160i | 1.91929 | + | 0.422468i | ||||
\(560\) | −43.0383 | − | 127.733i | −0.0768542 | − | 0.228095i | ||||
\(561\) | 1.01179 | − | 0.728158i | 0.00180354 | − | 0.00129796i | ||||
\(562\) | 419.587 | + | 92.3580i | 0.746595 | + | 0.164338i | ||||
\(563\) | −756.090 | − | 40.9940i | −1.34297 | − | 0.0728135i | −0.631414 | − | 0.775446i | \(-0.717525\pi\) |
−0.711553 | + | 0.702632i | \(0.752008\pi\) | |||||||
\(564\) | 427.503 | + | 241.188i | 0.757985 | + | 0.427639i | ||||
\(565\) | 1285.44 | + | 1217.63i | 2.27512 | + | 2.15510i | ||||
\(566\) | 731.712 | − | 39.6722i | 1.29278 | − | 0.0700923i | ||||
\(567\) | −243.422 | − | 145.261i | −0.429315 | − | 0.256193i | ||||
\(568\) | −58.4517 | + | 86.2098i | −0.102908 | + | 0.151778i | ||||
\(569\) | −58.9427 | + | 541.969i | −0.103590 | + | 0.952494i | 0.820844 | + | 0.571152i | \(0.193503\pi\) |
−0.924434 | + | 0.381342i | \(0.875462\pi\) | |||||||
\(570\) | 197.173 | − | 220.181i | 0.345918 | − | 0.386283i | ||||
\(571\) | 16.0299 | − | 3.52846i | 0.0280735 | − | 0.00617943i | −0.200912 | − | 0.979609i | \(-0.564390\pi\) |
0.228985 | + | 0.973430i | \(0.426459\pi\) | |||||||
\(572\) | 76.3053 | − | 12.5096i | 0.133401 | − | 0.0218700i | ||||
\(573\) | −26.5483 | + | 196.184i | −0.0463320 | + | 0.342380i | ||||
\(574\) | 18.2003 | + | 65.5514i | 0.0317078 | + | 0.114201i | ||||
\(575\) | 689.548 | + | 907.085i | 1.19921 | + | 1.57754i | ||||
\(576\) | 54.7910 | − | 46.7113i | 0.0951233 | − | 0.0810960i | ||||
\(577\) | −83.8992 | + | 158.251i | −0.145406 | + | 0.274265i | −0.945508 | − | 0.325600i | \(-0.894434\pi\) |
0.800102 | + | 0.599864i | \(0.204779\pi\) | |||||||
\(578\) | −379.637 | + | 151.261i | −0.656811 | + | 0.261697i | ||||
\(579\) | 4.76590 | + | 170.227i | 0.00823125 | + | 0.294002i | ||||
\(580\) | 464.837 | − | 547.248i | 0.801443 | − | 0.943532i | ||||
\(581\) | 151.495 | − | 80.3174i | 0.260748 | − | 0.138240i | ||||
\(582\) | −368.711 | + | 459.550i | −0.633524 | + | 0.789605i | ||||
\(583\) | −150.110 | + | 69.4483i | −0.257478 | + | 0.119122i | ||||
\(584\) | 100.039 | − | 84.9742i | 0.171300 | − | 0.145504i | ||||
\(585\) | 1431.02 | − | 317.715i | 2.44619 | − | 0.543102i | ||||
\(586\) | 212.888 | + | 161.833i | 0.363290 | + | 0.276166i | ||||
\(587\) | −576.496 | + | 958.144i | −0.982106 | + | 1.63227i | −0.230045 | + | 0.973180i | \(0.573887\pi\) |
−0.752062 | + | 0.659093i | \(0.770940\pi\) | |||||||
\(588\) | −220.440 | − | 5.77145i | −0.374898 | − | 0.00981539i | ||||
\(589\) | −17.5331 | −0.0297676 | ||||||||
\(590\) | 281.767 | − | 752.386i | 0.477571 | − | 1.27523i | ||||
\(591\) | 73.1721 | + | 237.541i | 0.123811 | + | 0.401930i | ||||
\(592\) | −183.075 | − | 61.6851i | −0.309248 | − | 0.104198i | ||||
\(593\) | 566.666 | − | 941.807i | 0.955593 | − | 1.58821i | 0.155921 | − | 0.987770i | \(-0.450166\pi\) |
0.799672 | − | 0.600438i | \(-0.205007\pi\) | |||||||
\(594\) | −84.6366 | + | 21.2929i | −0.142486 | + | 0.0358467i | ||||
\(595\) | −2.26750 | + | 5.69098i | −0.00381092 | + | 0.00956468i | ||||
\(596\) | −46.2897 | + | 39.3188i | −0.0776672 | + | 0.0659711i | ||||
\(597\) | −779.237 | + | 700.362i | −1.30526 | + | 1.17314i | ||||
\(598\) | 225.894 | + | 333.169i | 0.377749 | + | 0.557139i | ||||
\(599\) | −337.228 | + | 178.787i | −0.562985 | + | 0.298476i | −0.725491 | − | 0.688232i | \(-0.758387\pi\) |
0.162506 | + | 0.986708i | \(0.448042\pi\) | |||||||
\(600\) | −528.017 | − | 226.569i | −0.880028 | − | 0.377615i | ||||
\(601\) | −168.388 | + | 606.480i | −0.280180 | + | 1.00912i | 0.680792 | + | 0.732476i | \(0.261636\pi\) |
−0.960973 | + | 0.276642i | \(0.910778\pi\) | |||||||
\(602\) | 298.600 | − | 118.973i | 0.496014 | − | 0.197630i | ||||
\(603\) | −11.1392 | − | 100.723i | −0.0184730 | − | 0.167036i | ||||
\(604\) | 83.4542 | − | 9.07620i | 0.138169 | − | 0.0150268i | ||||
\(605\) | −674.639 | − | 887.473i | −1.11511 | − | 1.46690i | ||||
\(606\) | −119.022 | − | 185.836i | −0.196405 | − | 0.306660i | ||||
\(607\) | 76.4322 | + | 35.3613i | 0.125918 | + | 0.0582559i | 0.481837 | − | 0.876261i | \(-0.339970\pi\) |
−0.355919 | + | 0.934517i | \(0.615832\pi\) | |||||||
\(608\) | −40.3883 | + | 6.62132i | −0.0664281 | + | 0.0108903i | ||||
\(609\) | 192.966 | + | 340.584i | 0.316857 | + | 0.559251i | ||||
\(610\) | −994.762 | + | 598.528i | −1.63076 | + | 0.981194i | ||||
\(611\) | 149.615 | − | 1375.69i | 0.244869 | − | 2.25153i | ||||
\(612\) | −3.27235 | + | 0.00593747i | −0.00534698 | + | 9.70175e-6i | ||||
\(613\) | −32.3138 | + | 197.105i | −0.0527142 | + | 0.321542i | 0.947285 | + | 0.320392i | \(0.103815\pi\) |
−0.999999 | + | 0.00115059i | \(0.999634\pi\) | |||||||
\(614\) | −545.178 | + | 29.5587i | −0.887912 | + | 0.0481412i | ||||
\(615\) | 355.883 | + | 176.100i | 0.578671 | + | 0.286341i | ||||
\(616\) | 16.4250 | − | 15.5586i | 0.0266640 | − | 0.0252575i | ||||
\(617\) | 470.876 | + | 25.5302i | 0.763170 | + | 0.0413779i | 0.431615 | − | 0.902058i | \(-0.357944\pi\) |
0.331555 | + | 0.943436i | \(0.392427\pi\) | |||||||
\(618\) | −13.8927 | − | 168.722i | −0.0224800 | − | 0.273013i | ||||
\(619\) | −337.848 | + | 113.834i | −0.545797 | + | 0.183900i | −0.578674 | − | 0.815559i | \(-0.696430\pi\) |
0.0328769 | + | 0.999459i | \(0.489533\pi\) | |||||||
\(620\) | 14.9013 | + | 44.2254i | 0.0240343 | + | 0.0713314i | ||||
\(621\) | −285.603 | − | 353.332i | −0.459908 | − | 0.568973i | ||||
\(622\) | −0.631763 | + | 11.6522i | −0.00101570 | + | 0.0187334i | ||||
\(623\) | 214.644 | + | 226.597i | 0.344534 | + | 0.363720i | ||||
\(624\) | −181.928 | − | 90.0227i | −0.291552 | − | 0.144267i | ||||
\(625\) | 122.752 | + | 2264.03i | 0.196404 | + | 3.62246i | ||||
\(626\) | −67.7581 | − | 11.1084i | −0.108240 | − | 0.0177450i | ||||
\(627\) | 47.4377 | + | 14.5185i | 0.0756582 | + | 0.0231556i | ||||
\(628\) | 195.963 | + | 21.3122i | 0.312042 | + | 0.0339366i | ||||
\(629\) | 4.52669 | + | 7.52342i | 0.00719665 | + | 0.0119609i | ||||
\(630\) | 294.386 | − | 311.911i | 0.467280 | − | 0.495097i | ||||
\(631\) | 138.283 | + | 843.488i | 0.219149 | + | 1.33675i | 0.835593 | + | 0.549349i | \(0.185124\pi\) |
−0.616444 | + | 0.787399i | \(0.711427\pi\) | |||||||
\(632\) | 0.224936 | − | 0.486191i | 0.000355911 | − | 0.000769290i | ||||
\(633\) | −563.805 | − | 880.304i | −0.890687 | − | 1.39069i | ||||
\(634\) | 229.579 | − | 174.521i | 0.362111 | − | 0.275270i | ||||
\(635\) | 10.8595 | + | 99.8512i | 0.0171015 | + | 0.157246i | ||||
\(636\) | 426.477 | + | 81.4328i | 0.670562 | + | 0.128039i | ||||
\(637\) | 230.107 | + | 577.526i | 0.361236 | + | 0.906634i | ||||
\(638\) | 116.126 | + | 32.2422i | 0.182016 | + | 0.0505364i | ||||
\(639\) | −329.548 | − | 35.2356i | −0.515724 | − | 0.0551418i | ||||
\(640\) | 51.0273 | + | 96.2478i | 0.0797302 | + | 0.150387i | ||||
\(641\) | −690.700 | + | 468.306i | −1.07754 | + | 0.730587i | −0.964786 | − | 0.263036i | \(-0.915276\pi\) |
−0.112750 | + | 0.993623i | \(0.535966\pi\) | |||||||
\(642\) | 157.617 | − | 141.663i | 0.245510 | − | 0.220659i | ||||
\(643\) | −396.394 | − | 466.671i | −0.616476 | − | 0.725772i | 0.361989 | − | 0.932182i | \(-0.382098\pi\) |
−0.978465 | + | 0.206411i | \(0.933822\pi\) | |||||||
\(644\) | 109.411 | + | 43.5933i | 0.169893 | + | 0.0676914i | ||||
\(645\) | 645.350 | − | 1761.55i | 1.00054 | − | 2.73109i | ||||
\(646\) | 1.59386 | + | 0.958995i | 0.00246728 | + | 0.00148451i | ||||
\(647\) | −88.8312 | + | 263.642i | −0.137297 | + | 0.407483i | −0.994141 | − | 0.108093i | \(-0.965526\pi\) |
0.856844 | + | 0.515576i | \(0.172422\pi\) | |||||||
\(648\) | 213.137 | + | 84.0267i | 0.328916 | + | 0.129671i | ||||
\(649\) | 134.473 | − | 10.1035i | 0.207200 | − | 0.0155678i | ||||
\(650\) | 1619.84i | 2.49207i | ||||||||
\(651\) | −25.4339 | − | 0.665897i | −0.0390690 | − | 0.00102288i | ||||
\(652\) | −325.278 | − | 195.713i | −0.498893 | − | 0.300174i | ||||
\(653\) | −101.620 | + | 133.679i | −0.155620 | + | 0.204714i | −0.867295 | − | 0.497794i | \(-0.834144\pi\) |
0.711675 | + | 0.702508i | \(0.247937\pi\) | |||||||
\(654\) | −657.562 | − | 52.9431i | −1.00545 | − | 0.0809527i | ||||
\(655\) | −86.4275 | − | 101.750i | −0.131950 | − | 0.155344i | ||||
\(656\) | −23.0869 | − | 49.9015i | −0.0351935 | − | 0.0760694i | ||||
\(657\) | 388.275 | + | 153.887i | 0.590981 | + | 0.234227i | ||||
\(658\) | −189.651 | − | 357.721i | −0.288224 | − | 0.543648i | ||||
\(659\) | −2.55785 | − | 2.17265i | −0.00388141 | − | 0.00329690i | 0.645443 | − | 0.763808i | \(-0.276673\pi\) |
−0.649325 | + | 0.760511i | \(0.724948\pi\) | |||||||
\(660\) | −3.69552 | − | 131.996i | −0.00559927 | − | 0.199994i | ||||
\(661\) | −303.381 | − | 761.428i | −0.458972 | − | 1.15193i | −0.958362 | − | 0.285556i | \(-0.907822\pi\) |
0.499390 | − | 0.866377i | \(-0.333558\pi\) | |||||||
\(662\) | −353.548 | − | 187.439i | −0.534060 | − | 0.283141i | ||||
\(663\) | 3.65320 | + | 8.47130i | 0.00551011 | + | 0.0127772i | ||||
\(664\) | −110.325 | + | 83.8666i | −0.166152 | + | 0.126305i | ||||
\(665\) | −234.914 | + | 65.2235i | −0.353254 | + | 0.0980804i | ||||
\(666\) | −100.551 | − | 606.439i | −0.150977 | − | 0.910570i | ||||
\(667\) | 101.501 | + | 619.126i | 0.152175 | + | 0.928225i | ||||
\(668\) | 120.086 | + | 545.558i | 0.179770 | + | 0.816704i | ||||
\(669\) | 354.540 | − | 395.912i | 0.529956 | − | 0.591796i | ||||
\(670\) | 152.426 | + | 16.5774i | 0.227502 | + | 0.0247424i | ||||
\(671\) | −161.286 | − | 109.354i | −0.240366 | − | 0.162972i | ||||
\(672\) | −58.8396 | + | 8.07111i | −0.0875589 | + | 0.0120106i | ||||
\(673\) | 22.6390 | + | 417.551i | 0.0336389 | + | 0.620433i | 0.965943 | + | 0.258756i | \(0.0833127\pi\) |
−0.932304 | + | 0.361676i | \(0.882205\pi\) | |||||||
\(674\) | 35.0004 | − | 36.9495i | 0.0519294 | − | 0.0548212i | ||||
\(675\) | −153.340 | − | 1821.84i | −0.227171 | − | 2.69903i | ||||
\(676\) | −12.6821 | + | 233.907i | −0.0187605 | + | 0.346016i | ||||
\(677\) | 72.4086 | − | 328.955i | 0.106955 | − | 0.485902i | −0.892441 | − | 0.451163i | \(-0.851009\pi\) |
0.999396 | − | 0.0347384i | \(-0.0110598\pi\) | |||||||
\(678\) | 633.220 | − | 455.713i | 0.933953 | − | 0.672143i | ||||
\(679\) | 460.557 | − | 155.180i | 0.678287 | − | 0.228542i | ||||
\(680\) | 1.06435 | − | 4.83539i | 0.00156522 | − | 0.00711087i | ||||
\(681\) | −696.259 | + | 173.823i | −1.02241 | + | 0.255246i | ||||
\(682\) | −5.68688 | + | 5.38690i | −0.00833854 | + | 0.00789868i | ||||
\(683\) | −315.294 | + | 332.852i | −0.461631 | + | 0.487338i | −0.914698 | − | 0.404138i | \(-0.867571\pi\) |
0.453067 | + | 0.891477i | \(0.350330\pi\) | |||||||
\(684\) | −79.0000 | − | 103.532i | −0.115497 | − | 0.151363i | ||||
\(685\) | 63.3283 | − | 386.285i | 0.0924500 | − | 0.563920i | ||||
\(686\) | 351.278 | + | 238.172i | 0.512067 | + | 0.347190i | ||||
\(687\) | 387.008 | − | 74.6243i | 0.563330 | − | 0.108623i | ||||
\(688\) | −222.596 | + | 133.932i | −0.323541 | + | 0.194668i | ||||
\(689\) | −263.135 | − | 1195.43i | −0.381908 | − | 1.73502i | ||||
\(690\) | 615.551 | − | 305.981i | 0.892103 | − | 0.443451i | ||||
\(691\) | −311.273 | − | 144.010i | −0.450467 | − | 0.208408i | 0.181520 | − | 0.983387i | \(-0.441898\pi\) |
−0.631987 | + | 0.774979i | \(0.717760\pi\) | |||||||
\(692\) | −500.217 | + | 138.885i | −0.722857 | + | 0.200700i | ||||
\(693\) | 68.2628 | + | 22.8626i | 0.0985033 | + | 0.0329907i | ||||
\(694\) | 512.606 | − | 55.7493i | 0.738626 | − | 0.0803304i | ||||
\(695\) | −865.874 | − | 459.057i | −1.24586 | − | 0.660514i | ||||
\(696\) | −198.435 | − | 246.406i | −0.285108 | − | 0.354031i | ||||
\(697\) | −0.668543 | + | 2.40787i | −0.000959171 | + | 0.00345462i | ||||
\(698\) | 170.407 | + | 144.745i | 0.244137 | + | 0.207372i | ||||
\(699\) | −795.739 | + | 797.184i | −1.13840 | + | 1.14046i | ||||
\(700\) | 265.974 | + | 392.282i | 0.379963 | + | 0.560403i | ||||
\(701\) | 195.792 | + | 423.197i | 0.279303 | + | 0.603705i | 0.995560 | − | 0.0941329i | \(-0.0300078\pi\) |
−0.716256 | + | 0.697837i | \(0.754146\pi\) | |||||||
\(702\) | −19.2474 | − | 645.601i | −0.0274180 | − | 0.919659i | ||||
\(703\) | −129.337 | + | 324.611i | −0.183978 | + | 0.461751i | ||||
\(704\) | −11.0656 | + | 14.5566i | −0.0157182 | + | 0.0206770i | ||||
\(705\) | −2293.81 | − | 568.235i | −3.25362 | − | 0.806006i | ||||
\(706\) | −481.157 | − | 162.121i | −0.681525 | − | 0.229633i | ||||
\(707\) | 182.035i | 0.257475i | ||||||||
\(708\) | −302.347 | − | 184.126i | −0.427044 | − | 0.260064i | ||||
\(709\) | −131.066 | −0.184860 | −0.0924301 | − | 0.995719i | \(-0.529463\pi\) | ||||
−0.0924301 | + | 0.995719i | \(0.529463\pi\) | |||||||
\(710\) | 160.116 | − | 475.206i | 0.225515 | − | 0.669304i | ||||
\(711\) | 1.70193 | − | 0.0953732i | 0.00239371 | − | 0.000134140i | ||||
\(712\) | −200.821 | − | 152.660i | −0.282051 | − | 0.214410i | ||||
\(713\) | −37.8816 | − | 15.0934i | −0.0531299 | − | 0.0211689i | ||||
\(714\) | 2.27567 | + | 1.45167i | 0.00318721 | + | 0.00203316i | ||||
\(715\) | −337.862 | + | 156.312i | −0.472535 | + | 0.218618i | ||||
\(716\) | 431.189 | − | 292.354i | 0.602220 | − | 0.408315i | ||||
\(717\) | 89.1137 | − | 89.2756i | 0.124287 | − | 0.124513i | ||||
\(718\) | 69.8287 | − | 82.2086i | 0.0972544 | − | 0.114497i | ||||
\(719\) | 948.441 | + | 263.333i | 1.31911 | + | 0.366249i | 0.854586 | − | 0.519311i | \(-0.173811\pi\) |
0.464525 | + | 0.885560i | \(0.346225\pi\) | |||||||
\(720\) | −194.008 | + | 287.261i | −0.269455 | + | 0.398973i | ||||
\(721\) | −65.4106 | + | 123.378i | −0.0907221 | + | 0.171120i | ||||
\(722\) | −47.1943 | − | 433.945i | −0.0653661 | − | 0.601031i | ||||
\(723\) | 630.024 | − | 878.786i | 0.871402 | − | 1.21547i | ||||
\(724\) | 173.085 | + | 623.396i | 0.239068 | + | 0.861044i | ||||
\(725\) | −1060.10 | + | 2291.38i | −1.46221 | + | 3.16052i | ||||
\(726\) | −439.850 | + | 218.643i | −0.605854 | + | 0.301161i | ||||
\(727\) | 160.383 | − | 35.3030i | 0.220610 | − | 0.0485599i | −0.103290 | − | 0.994651i | \(-0.532937\pi\) |
0.323900 | + | 0.946091i | \(0.395006\pi\) | |||||||
\(728\) | 86.3214 | + | 143.467i | 0.118573 | + | 0.197071i | ||||
\(729\) | 82.7625 | + | 724.287i | 0.113529 | + | 0.993535i | ||||
\(730\) | −354.629 | + | 523.039i | −0.485793 | + | 0.716491i | ||||
\(731\) | 11.6514 | + | 1.91015i | 0.0159390 | + | 0.00261306i | ||||
\(732\) | 176.836 | + | 479.995i | 0.241579 | + | 0.655731i | ||||
\(733\) | −831.827 | − | 787.948i | −1.13483 | − | 1.07496i | −0.996416 | − | 0.0845886i | \(-0.973042\pi\) |
−0.138409 | − | 0.990375i | \(-0.544199\pi\) | |||||||
\(734\) | 193.593 | + | 204.374i | 0.263751 | + | 0.278438i | ||||
\(735\) | 1030.04 | − | 257.152i | 1.40141 | − | 0.349866i | ||||
\(736\) | −92.9619 | − | 20.4625i | −0.126307 | − | 0.0278023i | ||||
\(737\) | 8.21736 | + | 24.3883i | 0.0111497 | + | 0.0330913i | ||||
\(738\) | 105.626 | − | 139.473i | 0.143125 | − | 0.188988i | ||||
\(739\) | 889.282 | + | 195.746i | 1.20336 | + | 0.264879i | 0.771008 | − | 0.636826i | \(-0.219753\pi\) |
0.432351 | + | 0.901705i | \(0.357684\pi\) | |||||||
\(740\) | 928.720 | + | 50.3537i | 1.25503 | + | 0.0680456i | ||||
\(741\) | −180.405 | + | 319.766i | −0.243462 | + | 0.431533i | ||||
\(742\) | −260.011 | − | 246.295i | −0.350419 | − | 0.331934i | ||||
\(743\) | 917.168 | − | 49.7274i | 1.23441 | − | 0.0669279i | 0.574648 | − | 0.818401i | \(-0.305139\pi\) |
0.659764 | + | 0.751473i | \(0.270656\pi\) | |||||||
\(744\) | 20.3722 | − | 2.79448i | 0.0273820 | − | 0.00375603i | ||||
\(745\) | 164.092 | − | 242.018i | 0.220258 | − | 0.324856i | ||||
\(746\) | 56.4141 | − | 518.719i | 0.0756221 | − | 0.695333i | ||||
\(747\) | −400.546 | − | 184.431i | −0.536206 | − | 0.246895i | ||||
\(748\) | 0.811614 | − | 0.178650i | 0.00108505 | − | 0.000238837i | ||||
\(749\) | −172.507 | + | 28.2810i | −0.230316 | + | 0.0377584i | ||||
\(750\) | 1729.18 | + | 233.999i | 2.30558 | + | 0.311999i | ||||
\(751\) | 380.145 | + | 1369.16i | 0.506185 | + | 1.82311i | 0.565331 | + | 0.824864i | \(0.308749\pi\) |
−0.0591458 | + | 0.998249i | \(0.518838\pi\) | |||||||
\(752\) | 198.032 | + | 260.507i | 0.263341 | + | 0.346419i | ||||
\(753\) | 313.579 | + | 727.148i | 0.416439 | + | 0.965669i | ||||
\(754\) | −417.784 | + | 788.024i | −0.554090 | + | 1.04513i | ||||
\(755\) | −375.448 | + | 149.592i | −0.497282 | + | 0.198135i | ||||
\(756\) | −110.667 | − | 153.187i | −0.146385 | − | 0.202628i | ||||
\(757\) | −184.394 | + | 217.085i | −0.243585 | + | 0.286770i | −0.870346 | − | 0.492441i | \(-0.836105\pi\) |
0.626761 | + | 0.779212i | \(0.284380\pi\) | |||||||
\(758\) | 923.505 | − | 489.611i | 1.21834 | − | 0.645925i | ||||
\(759\) | 89.9944 | + | 72.2052i | 0.118570 | + | 0.0951320i | ||||
\(760\) | 178.830 | − | 82.7356i | 0.235303 | − | 0.108863i | ||||
\(761\) | −134.108 | + | 113.913i | −0.176226 | + | 0.149688i | −0.731159 | − | 0.682208i | \(-0.761020\pi\) |
0.554932 | + | 0.831896i | \(0.312744\pi\) | |||||||
\(762\) | 44.1130 | + | 3.55172i | 0.0578911 | + | 0.00466105i | ||||
\(763\) | 433.200 | + | 329.310i | 0.567759 | + | 0.431599i | ||||
\(764\) | −68.0435 | + | 113.089i | −0.0890622 | + | 0.148022i | ||||
\(765\) | 15.1725 | − | 4.24230i | 0.0198334 | − | 0.00554549i | ||||
\(766\) | −72.3232 | −0.0944167 | ||||||||
\(767\) | −140.913 | + | 988.001i | −0.183719 | + | 1.28814i | ||||
\(768\) | 45.8729 | − | 14.1307i | 0.0597303 | − | 0.0183994i | ||||
\(769\) | 519.862 | + | 175.162i | 0.676023 | + | 0.227779i | 0.636311 | − | 0.771432i | \(-0.280459\pi\) |
0.0397121 | + | 0.999211i | \(0.487356\pi\) | |||||||
\(770\) | −56.1551 | + | 93.3306i | −0.0729287 | + | 0.121209i | ||||
\(771\) | 312.176 | − | 852.120i | 0.404898 | − | 1.10521i | ||||
\(772\) | −42.0216 | + | 105.466i | −0.0544321 | + | 0.136614i | ||||
\(773\) | −384.139 | + | 326.291i | −0.496946 | + | 0.422110i | −0.860490 | − | 0.509467i | \(-0.829843\pi\) |
0.363544 | + | 0.931577i | \(0.381567\pi\) | |||||||
\(774\) | −709.068 | − | 424.882i | −0.916109 | − | 0.548943i | ||||
\(775\) | −92.0889 | − | 135.821i | −0.118824 | − | 0.175253i | ||||
\(776\) | −347.032 | + | 183.985i | −0.447207 | + | 0.237094i | ||||
\(777\) | −199.948 | + | 465.976i | −0.257333 | + | 0.599712i | ||||
\(778\) | −122.140 | + | 439.910i | −0.156993 | + | 0.565437i | ||||
\(779\) | −92.3880 | + | 36.8107i | −0.118598 | + | 0.0472538i | ||||
\(780\) | 959.901 | + | 183.286i | 1.23064 | + | 0.234982i | ||||
\(781\) | 83.6752 | − | 9.10023i | 0.107139 | − | 0.0116520i | ||||
\(782\) | 2.61811 | + | 3.44406i | 0.00334796 | + | 0.00440417i | ||||
\(783\) | 395.286 | − | 925.842i | 0.504835 | − | 1.18243i | ||||
\(784\) | −133.423 | − | 61.7281i | −0.170183 | − | 0.0787348i | ||||
\(785\) | −936.506 | + | 153.532i | −1.19300 | + | 0.195583i | ||||
\(786\) | −51.1799 | + | 28.9972i | −0.0651144 | + | 0.0368921i | ||||
\(787\) | 1336.23 | − | 803.983i | 1.69788 | − | 1.02158i | 0.779011 | − | 0.627010i | \(-0.215722\pi\) |
0.918866 | − | 0.394569i | \(-0.129106\pi\) | |||||||
\(788\) | −17.9157 | + | 164.732i | −0.0227357 | + | 0.209051i | ||||
\(789\) | −1050.82 | − | 321.609i | −1.33184 | − | 0.407616i | ||||
\(790\) | −0.417251 | + | 2.54512i | −0.000528166 | + | 0.00322167i | ||||
\(791\) | −642.583 | + | 34.8398i | −0.812367 | + | 0.0440453i | ||||
\(792\) | −57.4331 | − | 9.30871i | −0.0725166 | − | 0.0117534i | ||||
\(793\) | 1046.97 | − | 991.743i | 1.32027 | − | 1.25062i | ||||
\(794\) | 212.861 | + | 11.5410i | 0.268087 | + | 0.0145353i | ||||
\(795\) | −2083.28 | + | 171.539i | −2.62048 | + | 0.215772i | ||||
\(796\) | −661.917 | + | 223.026i | −0.831554 | + | 0.280183i | ||||
\(797\) | 52.3865 | + | 155.478i | 0.0657296 | + | 0.195079i | 0.975485 | − | 0.220066i | \(-0.0706274\pi\) |
−0.909755 | + | 0.415145i | \(0.863731\pi\) | |||||||
\(798\) | 8.81544 | + | 107.061i | 0.0110469 | + | 0.134161i | ||||
\(799\) | 0.805179 | − | 14.8507i | 0.00100773 | − | 0.0185866i | ||||
\(800\) | −263.423 | − | 278.092i | −0.329279 | − | 0.347615i | ||||
\(801\) | 128.422 | − | 792.339i | 0.160327 | − | 0.989188i | ||||
\(802\) | 17.0468 | + | 314.410i | 0.0212554 | + | 0.392033i | ||||
\(803\) | −104.671 | − | 17.1599i | −0.130350 | − | 0.0213697i | ||||
\(804\) | 19.7712 | − | 64.6002i | 0.0245910 | − | 0.0803485i | ||||
\(805\) | −563.697 | − | 61.3057i | −0.700244 | − | 0.0761561i | ||||
\(806\) | −29.8873 | − | 49.6731i | −0.0370810 | − | 0.0616291i | ||||
\(807\) | 417.550 | + | 736.974i | 0.517410 | + | 0.913226i | ||||
\(808\) | −23.8017 | − | 145.184i | −0.0294576 | − | 0.179683i | ||||
\(809\) | −542.442 | + | 1172.47i | −0.670509 | + | 1.44928i | 0.211178 | + | 0.977448i | \(0.432270\pi\) |
−0.881687 | + | 0.471834i | \(0.843592\pi\) | |||||||
\(810\) | −1096.95 | − | 115.275i | −1.35426 | − | 0.142314i | ||||
\(811\) | 408.101 | − | 310.230i | 0.503207 | − | 0.382528i | −0.322551 | − | 0.946552i | \(-0.604541\pi\) |
0.825758 | + | 0.564024i | \(0.190747\pi\) | |||||||
\(812\) | 28.2155 | + | 259.437i | 0.0347481 | + | 0.319504i | ||||
\(813\) | 208.691 | − | 1092.95i | 0.256692 | − | 1.34434i | ||||
\(814\) | 57.7835 | + | 145.026i | 0.0709871 | + | 0.178164i | ||||
\(815\) | 1761.02 | + | 488.944i | 2.16076 | + | 0.599931i | ||||
\(816\) | −2.00480 | − | 0.860248i | −0.00245686 | − | 0.00105423i | ||||
\(817\) | 220.096 | + | 415.146i | 0.269396 | + | 0.508135i | ||||
\(818\) | 675.874 | − | 458.254i | 0.826252 | − | 0.560213i | ||||
\(819\) | −273.844 | + | 457.008i | −0.334364 | + | 0.558007i | ||||
\(820\) | 171.371 | + | 201.754i | 0.208989 | + | 0.246041i | ||||
\(821\) | −709.994 | − | 282.887i | −0.864791 | − | 0.344564i | −0.104797 | − | 0.994494i | \(-0.533419\pi\) |
−0.759995 | + | 0.649929i | \(0.774799\pi\) | |||||||
\(822\) | −161.951 | − | 59.3311i | −0.197020 | − | 0.0721789i | ||||
\(823\) | 807.068 | + | 485.597i | 0.980642 | + | 0.590033i | 0.913122 | − | 0.407685i | \(-0.133664\pi\) |
0.0675194 | + | 0.997718i | \(0.478492\pi\) | |||||||
\(824\) | 36.0370 | − | 106.954i | 0.0437342 | − | 0.129798i | ||||
\(825\) | 136.688 | + | 443.733i | 0.165682 | + | 0.537858i | ||||
\(826\) | 128.102 | + | 262.404i | 0.155087 | + | 0.317681i | ||||
\(827\) | − | 734.453i | − | 0.888093i | −0.896004 | − | 0.444046i | \(-0.853543\pi\) | ||
0.896004 | − | 0.444046i | \(-0.146457\pi\) | |||||||
\(828\) | −81.5595 | − | 291.697i | −0.0985018 | − | 0.352291i | ||||
\(829\) | −992.882 | − | 597.397i | −1.19769 | − | 0.720624i | −0.230100 | − | 0.973167i | \(-0.573905\pi\) |
−0.967586 | + | 0.252543i | \(0.918733\pi\) | |||||||
\(830\) | 403.768 | − | 531.148i | 0.486468 | − | 0.639937i | ||||
\(831\) | −23.8790 | + | 296.581i | −0.0287353 | + | 0.356897i | ||||
\(832\) | −87.6055 | − | 103.137i | −0.105295 | − | 0.123963i | ||||
\(833\) | 2.80550 | + | 6.06400i | 0.00336795 | + | 0.00727971i | ||||
\(834\) | −270.236 | + | 336.813i | −0.324023 | + | 0.403853i | ||||
\(835\) | −1259.75 | − | 2376.13i | −1.50868 | − | 2.84567i | ||||
\(836\) | 25.2071 | + | 21.4111i | 0.0301520 | + | 0.0256114i | ||||
\(837\) | 38.3166 | + | 53.0382i | 0.0457785 | + | 0.0633670i | ||||
\(838\) | 91.7938 | + | 230.385i | 0.109539 | + | 0.274922i | ||||
\(839\) | 1271.63 | + | 674.175i | 1.51565 | + | 0.803546i | 0.998625 | − | 0.0524242i | \(-0.0166948\pi\) |
0.517024 | + | 0.855971i | \(0.327040\pi\) | |||||||
\(840\) | 262.557 | − | 113.226i | 0.312568 | − | 0.134793i | ||||
\(841\) | −437.191 | + | 332.344i | −0.519846 | + | 0.395177i | ||||
\(842\) | 89.2081 | − | 24.7685i | 0.105948 | − | 0.0294163i | ||||
\(843\) | −122.218 | + | 903.153i | −0.144979 | + | 1.07136i | ||||
\(844\) | −112.749 | − | 687.736i | −0.133588 | − | 0.814854i | ||||
\(845\) | −242.439 | − | 1101.41i | −0.286910 | − | 1.30345i | ||||
\(846\) | −435.492 | + | 945.799i | −0.514766 | + | 1.11797i | ||||
\(847\) | 402.797 | + | 43.8068i | 0.475557 | + | 0.0517200i | ||||
\(848\) | 239.579 | + | 162.438i | 0.282522 | + | 0.191555i | ||||
\(849\) | 211.251 | + | 1540.05i | 0.248824 | + | 1.81396i | ||||
\(850\) | 0.942524 | + | 17.3838i | 0.00110885 | + | 0.0204516i | ||||
\(851\) | −558.884 | + | 590.007i | −0.656738 | + | 0.693310i | ||||
\(852\) | −192.437 | − | 108.569i | −0.225865 | − | 0.127428i | ||||
\(853\) | 19.8593 | − | 366.283i | 0.0232817 | − | 0.429406i | −0.963537 | − | 0.267575i | \(-0.913778\pi\) |
0.986819 | − | 0.161830i | \(-0.0517397\pi\) | |||||||
\(854\) | 90.7063 | − | 412.083i | 0.106214 | − | 0.482533i | ||||
\(855\) | 499.824 | + | 378.527i | 0.584589 | + | 0.442722i | ||||
\(856\) | 133.887 | − | 45.1117i | 0.156410 | − | 0.0527006i | ||||
\(857\) | 147.507 | − | 670.131i | 0.172120 | − | 0.781950i | −0.808885 | − | 0.587967i | \(-0.799928\pi\) |
0.981005 | − | 0.193983i | \(-0.0621405\pi\) | |||||||
\(858\) | 39.7308 | + | 159.144i | 0.0463063 | + | 0.185483i | ||||
\(859\) | −120.664 | + | 114.299i | −0.140470 | + | 0.133060i | −0.754709 | − | 0.656060i | \(-0.772222\pi\) |
0.614239 | + | 0.789120i | \(0.289463\pi\) | |||||||
\(860\) | 860.104 | − | 908.000i | 1.00012 | − | 1.05581i | ||||
\(861\) | −135.418 | + | 49.8897i | −0.157280 | + | 0.0579439i | ||||
\(862\) | −30.4595 | + | 185.795i | −0.0353359 | + | 0.215539i | ||||
\(863\) | 344.973 | + | 233.898i | 0.399738 | + | 0.271029i | 0.744448 | − | 0.667680i | \(-0.232713\pi\) |
−0.344711 | + | 0.938709i | \(0.612023\pi\) | |||||||
\(864\) | 108.294 | + | 107.706i | 0.125340 | + | 0.124659i | ||||
\(865\) | 2141.59 | − | 1288.55i | 2.47582 | − | 1.48965i | ||||
\(866\) | 123.042 | + | 558.985i | 0.142081 | + | 0.645479i | ||||
\(867\) | −385.879 | − | 776.283i | −0.445073 | − | 0.895366i | ||||
\(868\) | −15.3941 | − | 7.12206i | −0.0177351 | − | 0.00820514i | ||||
\(869\) | −0.417118 | + | 0.115812i | −0.000479998 | + | 0.000133271i | ||||
\(870\) | 1237.89 | + | 887.476i | 1.42287 | + | 1.02009i | ||||
\(871\) | −189.343 | + | 20.5923i | −0.217386 | + | 0.0236422i | ||||
\(872\) | −388.563 | − | 206.003i | −0.445599 | − | 0.236242i | ||||
\(873\) | −1035.75 | − | 699.517i | −1.18643 | − | 0.801279i | ||||
\(874\) | −46.0605 | + | 165.895i | −0.0527008 | + | 0.189811i | ||||
\(875\) | −1097.02 | − | 931.817i | −1.25374 | − | 1.06493i | ||||
\(876\) | 197.065 | + | 196.707i | 0.224959 | + | 0.224552i | ||||
\(877\) | −225.905 | − | 333.185i | −0.257588 | − | 0.379914i | 0.676802 | − | 0.736165i | \(-0.263365\pi\) |
−0.934390 | + | 0.356251i | \(0.884055\pi\) | |||||||
\(878\) | 189.054 | + | 408.633i | 0.215323 | + | 0.465414i | ||||
\(879\) | −305.083 | + | 478.253i | −0.347079 | + | 0.544088i | ||||
\(880\) | 32.5839 | − | 81.7794i | 0.0370271 | − | 0.0929311i | ||||
\(881\) | −133.808 | + | 176.022i | −0.151882 | + | 0.199798i | −0.865741 | − | 0.500491i | \(-0.833153\pi\) |
0.713859 | + | 0.700290i | \(0.246946\pi\) | |||||||
\(882\) | −26.1728 | − | 467.052i | −0.0296744 | − | 0.529537i | ||||
\(883\) | −1233.50 | − | 415.614i | −1.39694 | − | 0.470684i | −0.482675 | − | 0.875800i | \(-0.660335\pi\) |
−0.914265 | + | 0.405116i | \(0.867231\pi\) | |||||||
\(884\) | 6.15030i | 0.00695735i | ||||||||
\(885\) | 1639.72 | + | 464.725i | 1.85279 | + | 0.525113i | ||||
\(886\) | −438.096 | −0.494465 | ||||||||
\(887\) | −325.559 | + | 966.224i | −0.367034 | + | 1.08932i | 0.591979 | + | 0.805953i | \(0.298347\pi\) |
−0.959013 | + | 0.283364i | \(0.908550\pi\) | |||||||
\(888\) | 98.5425 | − | 397.789i | 0.110971 | − | 0.447960i | ||||
\(889\) | −29.0616 | − | 22.0920i | −0.0326902 | − | 0.0248504i | ||||
\(890\) | 1128.22 | + | 449.523i | 1.26766 | + | 0.505081i | ||||
\(891\) | −59.7505 | − | 175.229i | −0.0670600 | − | 0.196666i | ||||
\(892\) | 321.557 | − | 148.768i | 0.360490 | − | 0.166781i | ||||
\(893\) | 489.894 | − | 332.156i | 0.548593 | − | 0.371955i | ||||
\(894\) | −91.1846 | − | 91.0193i | −0.101996 | − | 0.101811i | ||||
\(895\) | −1623.71 | + | 1911.57i | −1.81420 | + | 2.13584i | ||||
\(896\) | −38.1505 | − | 10.5924i | −0.0425787 | − | 0.0118219i | ||||
\(897\) | −665.050 | + | 535.576i | −0.741416 | + | 0.597075i | ||||
\(898\) | 382.773 | − | 721.987i | 0.426251 | − | 0.803995i | ||||
\(899\) | −9.76913 | − | 89.8256i | −0.0108667 | − | 0.0999173i | ||||
\(900\) | 387.086 | − | 1155.76i | 0.430096 | − | 1.28417i | ||||
\(901\) | −3.51948 | − | 12.6760i | −0.00390619 | − | 0.0140688i | ||||
\(902\) | −18.6564 | + | 40.3250i | −0.0206833 | + | 0.0447063i | ||||
\(903\) | 303.510 | + | 610.579i | 0.336113 | + | 0.676168i | ||||
\(904\) | 507.944 | − | 111.807i | 0.561885 | − | 0.123680i | ||||
\(905\) | −1605.86 | − | 2668.96i | −1.77443 | − | 2.94912i | ||||
\(906\) | 33.7164 | + | 174.856i | 0.0372146 | + | 0.192998i | ||||
\(907\) | −277.119 | + | 408.720i | −0.305534 | + | 0.450629i | −0.949198 | − | 0.314679i | \(-0.898103\pi\) |
0.643664 | + | 0.765308i | \(0.277413\pi\) | |||||||
\(908\) | −472.116 | − | 77.3996i | −0.519952 | − | 0.0852418i | ||||
\(909\) | 372.168 | − | 283.982i | 0.409426 | − | 0.312411i | ||||
\(910\) | −585.223 | − | 554.353i | −0.643103 | − | 0.609179i | ||||
\(911\) | −578.259 | − | 610.461i | −0.634752 | − | 0.670100i | 0.326682 | − | 0.945134i | \(-0.394069\pi\) |
−0.961434 | + | 0.275035i | \(0.911311\pi\) | |||||||
\(912\) | −21.0294 | − | 84.2348i | −0.0230586 | − | 0.0923628i | ||||
\(913\) | 109.369 | + | 24.0740i | 0.119791 | + | 0.0263680i | ||||
\(914\) | −388.981 | − | 1154.45i | −0.425581 | − | 1.26308i | ||||
\(915\) | −1438.56 | − | 1998.90i | −1.57219 | − | 2.18459i | ||||
\(916\) | 256.615 | + | 56.4851i | 0.280147 | + | 0.0616650i | ||||
\(917\) | 48.4506 | + | 2.62692i | 0.0528360 | + | 0.00286469i | ||||
\(918\) | −0.582209 | − | 6.91726i | −0.000634215 | − | 0.00753514i | ||||
\(919\) | −245.427 | − | 232.481i | −0.267059 | − | 0.252972i | 0.542438 | − | 0.840096i | \(-0.317501\pi\) |
−0.809497 | + | 0.587124i | \(0.800260\pi\) | |||||||
\(920\) | 457.599 | − | 24.8103i | 0.497390 | − | 0.0269677i | ||||
\(921\) | −157.398 | − | 1147.45i | −0.170899 | − | 1.24588i | ||||
\(922\) | 293.719 | − | 433.203i | 0.318567 | − | 0.469852i | ||||
\(923\) | −67.3480 | + | 619.255i | −0.0729664 | + | 0.670915i | ||||
\(924\) | 35.7528 | + | 32.0168i | 0.0386935 | + | 0.0346502i | ||||
\(925\) | −3193.93 | + | 703.036i | −3.45289 | + | 0.760039i | ||||
\(926\) | 1048.77 | − | 171.937i | 1.13258 | − | 0.185678i | ||||
\(927\) | 354.287 | − | 58.7427i | 0.382187 | − | 0.0633687i | ||||
\(928\) | −56.4259 | − | 203.228i | −0.0608038 | − | 0.218996i | ||||
\(929\) | −556.892 | − | 732.579i | −0.599453 | − | 0.788568i | 0.391869 | − | 0.920021i | \(-0.371829\pi\) |
−0.991322 | + | 0.131454i | \(0.958036\pi\) | |||||||
\(930\) | −90.9059 | + | 39.2026i | −0.0977482 | + | 0.0421534i | ||||
\(931\) | −124.553 | + | 234.931i | −0.133784 | + | 0.252343i | ||||
\(932\) | −697.579 | + | 277.941i | −0.748475 | + | 0.298220i | ||||
\(933\) | −24.7446 | + | 0.692780i | −0.0265215 | + | 0.000742530i | ||||
\(934\) | −462.584 | + | 544.595i | −0.495271 | + | 0.583079i | ||||
\(935\) | −3.53492 | + | 1.87410i | −0.00378066 | + | 0.00200438i | ||||
\(936\) | 158.652 | − | 400.298i | 0.169500 | − | 0.427669i | ||||
\(937\) | 390.019 | − | 180.442i | 0.416242 | − | 0.192574i | −0.200579 | − | 0.979678i | \(-0.564282\pi\) |
0.616821 | + | 0.787104i | \(0.288420\pi\) | |||||||
\(938\) | −42.4726 | + | 36.0766i | −0.0452800 | + | 0.0384612i | ||||
\(939\) | 11.6895 | − | 145.186i | 0.0124489 | − | 0.154617i | ||||
\(940\) | −1254.19 | − | 953.408i | −1.33424 | − | 1.01426i | ||||
\(941\) | 177.325 | − | 294.717i | 0.188444 | − | 0.313196i | −0.748204 | − | 0.663469i | \(-0.769084\pi\) |
0.936648 | + | 0.350273i | \(0.113911\pi\) | |||||||
\(942\) | −10.9440 | + | 418.007i | −0.0116179 | + | 0.443745i | ||||
\(943\) | −231.300 | −0.245281 | ||||||||
\(944\) | −136.479 | − | 192.534i | −0.144576 | − | 0.203956i | ||||
\(945\) | 710.679 | + | 568.083i | 0.752042 | + | 0.601146i | ||||
\(946\) | 198.939 | + | 67.0302i | 0.210295 | + | 0.0708565i | ||||
\(947\) | 793.108 | − | 1318.16i | 0.837495 | − | 1.39193i | −0.0810905 | − | 0.996707i | \(-0.525840\pi\) |
0.918586 | − | 0.395221i | \(-0.129332\pi\) | |||||||
\(948\) | 1.06705 | + | 0.390915i | 0.00112558 | + | 0.000412357i | ||||
\(949\) | 290.550 | − | 729.225i | 0.306164 | − | 0.768414i | ||||
\(950\) | −528.058 | + | 448.537i | −0.555851 | + | 0.472144i | ||||
\(951\) | 408.932 | + | 454.986i | 0.430002 | + | 0.478429i | ||||
\(952\) | 1.00986 | + | 1.48943i | 0.00106078 | + | 0.00156453i | ||||
\(953\) | 1368.66 | − | 725.616i | 1.43616 | − | 0.761402i | 0.445180 | − | 0.895441i | \(-0.353140\pi\) |
0.990976 | + | 0.134039i | \(0.0427949\pi\) | |||||||
\(954\) | −97.9204 | + | 915.820i | −0.102642 | + | 0.959979i | ||||
\(955\) | 169.991 | − | 612.252i | 0.178001 | − | 0.641101i | ||||
\(956\) | 78.1209 | − | 31.1262i | 0.0817165 | − | 0.0325588i | ||||
\(957\) | −47.9499 | + | 251.122i | −0.0501044 | + | 0.262406i | ||||
\(958\) | −228.106 | + | 24.8080i | −0.238106 | + | 0.0258956i | ||||
\(959\) | 86.0986 | + | 113.261i | 0.0897796 | + | 0.118103i | ||||
\(960\) | −194.601 | + | 124.635i | −0.202709 | + | 0.129828i | ||||
\(961\) | −866.850 | − | 401.048i | −0.902029 | − | 0.417323i | ||||
\(962\) | −1140.13 | + | 186.914i | −1.18516 | + | 0.194298i | ||||
\(963\) | 326.938 | + | 308.568i | 0.339499 | + | 0.320424i | ||||
\(964\) | 617.676 | − | 371.643i | 0.640743 | − | 0.385522i | ||||
\(965\) | 59.0954 | − | 543.373i | 0.0612388 | − | 0.563081i | ||||
\(966\) | −73.1169 | + | 238.901i | −0.0756904 | + | 0.247310i | ||||
\(967\) | −147.107 | + | 897.316i | −0.152128 | + | 0.927938i | 0.794889 | + | 0.606754i | \(0.207529\pi\) |
−0.947017 | + | 0.321183i | \(0.895919\pi\) | |||||||
\(968\) | −326.983 | + | 17.7285i | −0.337793 | + | 0.0183146i | ||||
\(969\) | −1.75001 | + | 3.53663i | −0.00180600 | + | 0.00364978i | ||||
\(970\) | 1372.89 | − | 1300.47i | 1.41535 | − | 1.34069i | ||||
\(971\) | 1558.30 | + | 84.4886i | 1.60484 | + | 0.0870119i | 0.834642 | − | 0.550793i | \(-0.185675\pi\) |
0.770198 | + | 0.637805i | \(0.220157\pi\) | |||||||
\(972\) | −140.543 | + | 465.235i | −0.144592 | + | 0.478637i | ||||
\(973\) | 337.551 | − | 113.734i | 0.346918 | − | 0.116890i | ||||
\(974\) | −240.720 | − | 714.430i | −0.247145 | − | 0.733501i | ||||
\(975\) | −3424.62 | + | 281.985i | −3.51243 | + | 0.289216i | ||||
\(976\) | −18.4626 | + | 340.522i | −0.0189166 | + | 0.348895i | ||||
\(977\) | −701.457 | − | 740.519i | −0.717970 | − | 0.757952i | 0.260245 | − | 0.965542i | \(-0.416197\pi\) |
−0.978216 | + | 0.207590i | \(0.933438\pi\) | |||||||
\(978\) | 357.145 | − | 721.761i | 0.365179 | − | 0.737997i | ||||
\(979\) | 11.0361 | + | 203.548i | 0.0112728 | + | 0.207915i | ||||
\(980\) | 698.445 | + | 114.504i | 0.712699 | + | 0.116841i | ||||
\(981\) | −2.53914 | − | 1399.41i | −0.00258832 | − | 1.42651i | ||||
\(982\) | 857.421 | + | 93.2502i | 0.873138 | + | 0.0949595i | ||||
\(983\) | −696.901 | − | 1158.26i | −0.708953 | − | 1.17829i | −0.976660 | − | 0.214789i | \(-0.931094\pi\) |
0.267707 | − | 0.963500i | \(-0.413734\pi\) | |||||||
\(984\) | 101.481 | − | 57.4965i | 0.103131 | − | 0.0584314i | ||||
\(985\) | −129.064 | − | 787.255i | −0.131029 | − | 0.799244i | ||||
\(986\) | −4.02505 | + | 8.70001i | −0.00408220 | + | 0.00882354i | ||||
\(987\) | 723.266 | − | 463.227i | 0.732792 | − | 0.469329i | ||||
\(988\) | −194.855 | + | 148.125i | −0.197222 | + | 0.149924i | ||||
\(989\) | 118.156 | + | 1086.43i | 0.119470 | + | 1.09851i | ||||
\(990\) | 278.418 | − | 30.7910i | 0.281230 | − | 0.0311020i | ||||
\(991\) | −508.384 | − | 1275.95i | −0.513001 | − | 1.28754i | −0.926247 | − | 0.376916i | \(-0.876985\pi\) |
0.413246 | − | 0.910619i | \(-0.364395\pi\) | |||||||
\(992\) | 13.2090 | + | 3.66745i | 0.0133155 | + | 0.00369703i | ||||
\(993\) | 334.731 | − | 780.089i | 0.337091 | − | 0.785588i | ||||
\(994\) | 85.3701 | + | 161.025i | 0.0858854 | + | 0.161997i | ||||
\(995\) | 2783.33 | − | 1887.14i | 2.79731 | − | 1.89663i | ||||
\(996\) | −196.513 | − | 218.645i | −0.197303 | − | 0.219523i | ||||
\(997\) | 960.716 | + | 1131.04i | 0.963607 | + | 1.13445i | 0.990870 | + | 0.134817i | \(0.0430448\pi\) |
−0.0272636 | + | 0.999628i | \(0.508679\pi\) | |||||||
\(998\) | −815.396 | − | 324.883i | −0.817030 | − | 0.325534i | ||||
\(999\) | 1264.61 | − | 318.151i | 1.26588 | − | 0.318470i |
(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 | 354.3.h.a.5.3 | ✓ | 1120 | |
3.2 | odd | 2 | inner | 354.3.h.a.5.26 | yes | 1120 | |
59.12 | even | 29 | inner | 354.3.h.a.71.26 | yes | 1120 | |
177.71 | odd | 58 | inner | 354.3.h.a.71.3 | yes | 1120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.3.h.a.5.3 | ✓ | 1120 | 1.1 | even | 1 | trivial | |
354.3.h.a.5.26 | yes | 1120 | 3.2 | odd | 2 | inner | |
354.3.h.a.71.3 | yes | 1120 | 177.71 | odd | 58 | inner | |
354.3.h.a.71.26 | yes | 1120 | 59.12 | even | 29 | inner |