Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,3,Mod(13,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.v (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.10355792167\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 13.3 | ||
Character | \(\chi\) | \(=\) | 224.13 |
Dual form | 224.3.v.b.69.3 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.91889 | − | 0.563790i | −0.959445 | − | 0.281895i | ||||
\(3\) | −4.49480 | − | 1.86181i | −1.49827 | − | 0.620602i | −0.525169 | − | 0.850998i | \(-0.675998\pi\) |
−0.973097 | + | 0.230396i | \(0.925998\pi\) | |||||||
\(4\) | 3.36428 | + | 2.16370i | 0.841070 | + | 0.540926i | ||||
\(5\) | 0.432309 | + | 1.04369i | 0.0864617 | + | 0.208737i | 0.961196 | − | 0.275865i | \(-0.0889643\pi\) |
−0.874735 | + | 0.484602i | \(0.838964\pi\) | |||||||
\(6\) | 7.57535 | + | 6.10672i | 1.26256 | + | 1.01779i | ||||
\(7\) | −6.93508 | − | 0.951145i | −0.990726 | − | 0.135878i | ||||
\(8\) | −5.23581 | − | 6.04866i | −0.654476 | − | 0.756082i | ||||
\(9\) | 10.3729 | + | 10.3729i | 1.15255 | + | 1.15255i | ||||
\(10\) | −0.241133 | − | 2.24645i | −0.0241133 | − | 0.224645i | ||||
\(11\) | 4.35814 | + | 10.5215i | 0.396195 | + | 0.956499i | 0.988560 | + | 0.150829i | \(0.0481943\pi\) |
−0.592365 | + | 0.805670i | \(0.701806\pi\) | |||||||
\(12\) | −11.0934 | − | 15.9890i | −0.924447 | − | 1.33242i | ||||
\(13\) | −5.75095 | + | 13.8840i | −0.442380 | + | 1.06800i | 0.532731 | + | 0.846285i | \(0.321166\pi\) |
−0.975111 | + | 0.221716i | \(0.928834\pi\) | |||||||
\(14\) | 12.7714 | + | 5.73507i | 0.912244 | + | 0.409648i | ||||
\(15\) | − | 5.49603i | − | 0.366402i | ||||||
\(16\) | 6.63677 | + | 14.5586i | 0.414798 | + | 0.909913i | ||||
\(17\) | 2.83244 | 0.166614 | 0.0833071 | − | 0.996524i | \(-0.473452\pi\) | ||||
0.0833071 | + | 0.996524i | \(0.473452\pi\) | |||||||
\(18\) | −14.0563 | − | 25.7526i | −0.780908 | − | 1.43070i | ||||
\(19\) | 11.1668 | − | 26.9590i | 0.587725 | − | 1.41889i | −0.297946 | − | 0.954583i | \(-0.596302\pi\) |
0.885672 | − | 0.464312i | \(-0.153698\pi\) | |||||||
\(20\) | −0.803818 | + | 4.44664i | −0.0401909 | + | 0.222332i | ||||
\(21\) | 29.4009 | + | 17.1870i | 1.40004 | + | 0.818427i | ||||
\(22\) | −2.43089 | − | 22.6467i | −0.110495 | − | 1.02939i | ||||
\(23\) | −18.7312 | − | 18.7312i | −0.814398 | − | 0.814398i | 0.170892 | − | 0.985290i | \(-0.445335\pi\) |
−0.985290 | + | 0.170892i | \(0.945335\pi\) | |||||||
\(24\) | 12.2725 | + | 36.9356i | 0.511353 | + | 1.53898i | ||||
\(25\) | 16.7753 | − | 16.7753i | 0.671011 | − | 0.671011i | ||||
\(26\) | 18.8631 | − | 23.3996i | 0.725504 | − | 0.899984i | ||||
\(27\) | −10.5555 | − | 25.4833i | −0.390946 | − | 0.943828i | ||||
\(28\) | −21.2736 | − | 18.2054i | −0.759770 | − | 0.650192i | ||||
\(29\) | 0.210363 | − | 0.507862i | 0.00725390 | − | 0.0175125i | −0.920211 | − | 0.391422i | \(-0.871983\pi\) |
0.927465 | + | 0.373910i | \(0.121983\pi\) | |||||||
\(30\) | −3.09861 | + | 10.5463i | −0.103287 | + | 0.351543i | ||||
\(31\) | − | 35.8709i | − | 1.15713i | −0.815638 | − | 0.578563i | \(-0.803614\pi\) | ||
0.815638 | − | 0.578563i | \(-0.196386\pi\) | |||||||
\(32\) | −4.52724 | − | 31.6781i | −0.141476 | − | 0.989942i | ||||
\(33\) | − | 55.4060i | − | 1.67897i | ||||||
\(34\) | −5.43515 | − | 1.59690i | −0.159857 | − | 0.0469678i | ||||
\(35\) | −2.00540 | − | 7.64923i | −0.0572971 | − | 0.218549i | ||||
\(36\) | 12.4535 | + | 57.3413i | 0.345930 | + | 1.59281i | ||||
\(37\) | 59.9916 | − | 24.8494i | 1.62140 | − | 0.671604i | 0.627167 | − | 0.778885i | \(-0.284214\pi\) |
0.994229 | + | 0.107281i | \(0.0342143\pi\) | |||||||
\(38\) | −36.6271 | + | 45.4356i | −0.963870 | + | 1.19567i | ||||
\(39\) | 51.6987 | − | 51.6987i | 1.32561 | − | 1.32561i | ||||
\(40\) | 4.04941 | − | 8.07943i | 0.101235 | − | 0.201986i | ||||
\(41\) | −20.9255 | + | 20.9255i | −0.510379 | + | 0.510379i | −0.914642 | − | 0.404264i | \(-0.867528\pi\) |
0.404264 | + | 0.914642i | \(0.367528\pi\) | |||||||
\(42\) | −46.7273 | − | 49.5559i | −1.11255 | − | 1.17990i | ||||
\(43\) | 23.1324 | + | 55.8466i | 0.537964 | + | 1.29876i | 0.926142 | + | 0.377175i | \(0.123104\pi\) |
−0.388178 | + | 0.921584i | \(0.626896\pi\) | |||||||
\(44\) | −8.10336 | + | 44.8270i | −0.184167 | + | 1.01879i | ||||
\(45\) | −6.34176 | + | 15.3104i | −0.140928 | + | 0.340230i | ||||
\(46\) | 25.3826 | + | 46.5035i | 0.551796 | + | 1.01095i | ||||
\(47\) | −2.87518 | −0.0611741 | −0.0305870 | − | 0.999532i | \(-0.509738\pi\) | ||||
−0.0305870 | + | 0.999532i | \(0.509738\pi\) | |||||||
\(48\) | −2.72564 | − | 77.7944i | −0.0567841 | − | 1.62072i | ||||
\(49\) | 47.1906 | + | 13.1925i | 0.963074 | + | 0.269235i | ||||
\(50\) | −41.6477 | + | 22.7322i | −0.832953 | + | 0.454644i | ||||
\(51\) | −12.7313 | − | 5.27346i | −0.249632 | − | 0.103401i | ||||
\(52\) | −49.3887 | + | 34.2664i | −0.949782 | + | 0.658969i | ||||
\(53\) | −12.1364 | − | 29.3000i | −0.228990 | − | 0.552830i | 0.767065 | − | 0.641569i | \(-0.221716\pi\) |
−0.996055 | + | 0.0887393i | \(0.971716\pi\) | |||||||
\(54\) | 5.88768 | + | 54.8509i | 0.109031 | + | 1.01576i | ||||
\(55\) | −9.09706 | + | 9.09706i | −0.165401 | + | 0.165401i | ||||
\(56\) | 30.5576 | + | 46.9279i | 0.545672 | + | 0.837999i | ||||
\(57\) | −100.385 | + | 100.385i | −1.76114 | + | 1.76114i | ||||
\(58\) | −0.689991 | + | 0.855930i | −0.0118964 | + | 0.0147574i | ||||
\(59\) | 23.7882 | + | 57.4297i | 0.403189 | + | 0.973385i | 0.986887 | + | 0.161414i | \(0.0516054\pi\) |
−0.583698 | + | 0.811971i | \(0.698395\pi\) | |||||||
\(60\) | 11.8918 | − | 18.4902i | 0.198196 | − | 0.308170i | ||||
\(61\) | 48.9259 | + | 20.2658i | 0.802065 | + | 0.332226i | 0.745783 | − | 0.666189i | \(-0.232076\pi\) |
0.0562815 | + | 0.998415i | \(0.482076\pi\) | |||||||
\(62\) | −20.2237 | + | 68.8323i | −0.326188 | + | 1.11020i | ||||
\(63\) | −62.0709 | − | 81.8032i | −0.985252 | − | 1.29846i | ||||
\(64\) | −9.17255 | + | 63.3393i | −0.143321 | + | 0.989676i | ||||
\(65\) | −16.9767 | −0.261180 | ||||||||
\(66\) | −31.2373 | + | 106.318i | −0.473293 | + | 1.61088i | ||||
\(67\) | 18.8808 | − | 45.5823i | 0.281803 | − | 0.680333i | −0.718074 | − | 0.695966i | \(-0.754976\pi\) |
0.999878 | + | 0.0156328i | \(0.00497628\pi\) | |||||||
\(68\) | 9.52913 | + | 6.12857i | 0.140134 | + | 0.0901260i | ||||
\(69\) | 49.3190 | + | 119.067i | 0.714768 | + | 1.72560i | ||||
\(70\) | −0.464422 | + | 15.8087i | −0.00663460 | + | 0.225838i | ||||
\(71\) | 40.7778 | − | 40.7778i | 0.574335 | − | 0.574335i | −0.359002 | − | 0.933337i | \(-0.616883\pi\) |
0.933337 | + | 0.359002i | \(0.116883\pi\) | |||||||
\(72\) | 8.43160 | − | 117.053i | 0.117106 | − | 1.62573i | ||||
\(73\) | 59.6846 | − | 59.6846i | 0.817598 | − | 0.817598i | −0.168162 | − | 0.985759i | \(-0.553783\pi\) |
0.985759 | + | 0.168162i | \(0.0537830\pi\) | |||||||
\(74\) | −129.127 | + | 13.8605i | −1.74496 | + | 0.187304i | ||||
\(75\) | −106.634 | + | 44.1692i | −1.42178 | + | 0.588922i | ||||
\(76\) | 95.8995 | − | 66.5360i | 1.26184 | − | 0.875474i | ||||
\(77\) | −20.2166 | − | 77.1126i | −0.262553 | − | 1.00146i | ||||
\(78\) | −128.351 | + | 70.0569i | −1.64553 | + | 0.898165i | ||||
\(79\) | − | 89.6609i | − | 1.13495i | −0.823391 | − | 0.567474i | \(-0.807921\pi\) | ||
0.823391 | − | 0.567474i | \(-0.192079\pi\) | |||||||
\(80\) | −12.3255 | + | 13.2205i | −0.154069 | + | 0.165257i | ||||
\(81\) | 2.16916i | 0.0267797i | ||||||||
\(82\) | 51.9514 | − | 28.3562i | 0.633554 | − | 0.345807i | ||||
\(83\) | −23.1587 | + | 55.9100i | −0.279020 | + | 0.673615i | −0.999809 | − | 0.0195402i | \(-0.993780\pi\) |
0.720789 | + | 0.693155i | \(0.243780\pi\) | |||||||
\(84\) | 61.7255 | + | 121.437i | 0.734827 | + | 1.44568i | ||||
\(85\) | 1.22449 | + | 2.95618i | 0.0144058 | + | 0.0347786i | ||||
\(86\) | −12.9028 | − | 120.205i | −0.150033 | − | 1.39774i | ||||
\(87\) | −1.89108 | + | 1.89108i | −0.0217366 | + | 0.0217366i | ||||
\(88\) | 40.8225 | − | 81.4494i | 0.463892 | − | 0.925562i | ||||
\(89\) | −32.4260 | − | 32.4260i | −0.364338 | − | 0.364338i | 0.501069 | − | 0.865407i | \(-0.332940\pi\) |
−0.865407 | + | 0.501069i | \(0.832940\pi\) | |||||||
\(90\) | 20.8010 | − | 25.8035i | 0.231122 | − | 0.286705i | ||||
\(91\) | 53.0890 | − | 90.8167i | 0.583395 | − | 0.997986i | ||||
\(92\) | −22.4882 | − | 103.546i | −0.244437 | − | 1.12550i | ||||
\(93\) | −66.7846 | + | 161.232i | −0.718114 | + | 1.73368i | ||||
\(94\) | 5.51716 | + | 1.62100i | 0.0586932 | + | 0.0172447i | ||||
\(95\) | 32.9642 | 0.346992 | ||||||||
\(96\) | −38.6295 | + | 150.816i | −0.402391 | + | 1.57100i | ||||
\(97\) | 29.3452i | 0.302528i | 0.988493 | + | 0.151264i | \(0.0483343\pi\) | ||||
−0.988493 | + | 0.151264i | \(0.951666\pi\) | |||||||
\(98\) | −83.1159 | − | 51.9207i | −0.848121 | − | 0.529803i | ||||
\(99\) | −63.9319 | + | 154.345i | −0.645776 | + | 1.55904i | ||||
\(100\) | 92.7335 | − | 20.1400i | 0.927335 | − | 0.201400i | ||||
\(101\) | 39.6793 | + | 95.7942i | 0.392864 | + | 0.948458i | 0.989313 | + | 0.145807i | \(0.0465778\pi\) |
−0.596449 | + | 0.802651i | \(0.703422\pi\) | |||||||
\(102\) | 21.4568 | + | 17.2969i | 0.210360 | + | 0.169578i | ||||
\(103\) | 103.220 | + | 103.220i | 1.00214 | + | 1.00214i | 0.999998 | + | 0.00213996i | \(0.000681172\pi\) |
0.00213996 | + | 0.999998i | \(0.499319\pi\) | |||||||
\(104\) | 114.091 | − | 37.9086i | 1.09702 | − | 0.364505i | ||||
\(105\) | −5.22752 | + | 38.1154i | −0.0497859 | + | 0.363004i | ||||
\(106\) | 6.76947 | + | 63.0659i | 0.0638629 | + | 0.594961i | ||||
\(107\) | 51.9433 | + | 125.402i | 0.485451 | + | 1.17198i | 0.956986 | + | 0.290136i | \(0.0937004\pi\) |
−0.471534 | + | 0.881848i | \(0.656300\pi\) | |||||||
\(108\) | 19.6266 | − | 108.572i | 0.181728 | − | 1.00530i | ||||
\(109\) | −106.571 | − | 44.1430i | −0.977711 | − | 0.404981i | −0.164134 | − | 0.986438i | \(-0.552483\pi\) |
−0.813577 | + | 0.581457i | \(0.802483\pi\) | |||||||
\(110\) | 22.5851 | − | 12.3274i | 0.205319 | − | 0.112068i | ||||
\(111\) | −315.915 | −2.84608 | ||||||||
\(112\) | −32.1792 | − | 107.278i | −0.287314 | − | 0.957836i | ||||
\(113\) | − | 128.823i | − | 1.14002i | −0.821637 | − | 0.570011i | \(-0.806939\pi\) | ||
0.821637 | − | 0.570011i | \(-0.193061\pi\) | |||||||
\(114\) | 249.224 | − | 136.032i | 2.18617 | − | 1.19326i | ||||
\(115\) | 11.4518 | − | 27.6471i | 0.0995808 | − | 0.240409i | ||||
\(116\) | 1.80658 | − | 1.25343i | 0.0155740 | − | 0.0108054i | ||||
\(117\) | −203.672 | + | 84.3636i | −1.74078 | + | 0.721057i | ||||
\(118\) | −13.2686 | − | 123.613i | −0.112446 | − | 1.04757i | ||||
\(119\) | −19.6432 | − | 2.69406i | −0.165069 | − | 0.0226392i | ||||
\(120\) | −33.2436 | + | 28.7762i | −0.277030 | + | 0.239801i | ||||
\(121\) | −6.14836 | + | 6.14836i | −0.0508129 | + | 0.0508129i | ||||
\(122\) | −82.4579 | − | 66.4718i | −0.675884 | − | 0.544851i | ||||
\(123\) | 133.015 | − | 55.0967i | 1.08143 | − | 0.447941i | ||||
\(124\) | 77.6140 | − | 120.680i | 0.625919 | − | 0.973224i | ||||
\(125\) | 50.8524 | + | 21.0637i | 0.406819 | + | 0.168510i | ||||
\(126\) | 72.9873 | + | 191.966i | 0.579265 | + | 1.52354i | ||||
\(127\) | −8.00592 | −0.0630388 | −0.0315194 | − | 0.999503i | \(-0.510035\pi\) | ||||
−0.0315194 | + | 0.999503i | \(0.510035\pi\) | |||||||
\(128\) | 53.3112 | − | 116.370i | 0.416494 | − | 0.909139i | ||||
\(129\) | − | 294.087i | − | 2.27975i | ||||||
\(130\) | 32.5765 | + | 9.57131i | 0.250588 | + | 0.0736255i | ||||
\(131\) | 140.038 | + | 58.0057i | 1.06899 | + | 0.442791i | 0.846635 | − | 0.532174i | \(-0.178625\pi\) |
0.222358 | + | 0.974965i | \(0.428625\pi\) | |||||||
\(132\) | 119.882 | − | 186.401i | 0.908198 | − | 1.41213i | ||||
\(133\) | −103.084 | + | 176.342i | −0.775071 | + | 1.32588i | ||||
\(134\) | −61.9291 | + | 76.8227i | −0.462158 | + | 0.573304i | ||||
\(135\) | 22.0333 | − | 22.0333i | 0.163210 | − | 0.163210i | ||||
\(136\) | −14.8301 | − | 17.1325i | −0.109045 | − | 0.125974i | ||||
\(137\) | 153.441 | + | 153.441i | 1.12000 | + | 1.12000i | 0.991740 | + | 0.128265i | \(0.0409408\pi\) |
0.128265 | + | 0.991740i | \(0.459059\pi\) | |||||||
\(138\) | −27.5091 | − | 256.281i | −0.199342 | − | 1.85711i | ||||
\(139\) | 73.1241 | − | 30.2890i | 0.526073 | − | 0.217907i | −0.103809 | − | 0.994597i | \(-0.533103\pi\) |
0.629882 | + | 0.776691i | \(0.283103\pi\) | |||||||
\(140\) | 9.80394 | − | 30.0732i | 0.0700282 | − | 0.214809i | ||||
\(141\) | 12.9234 | + | 5.35303i | 0.0916550 | + | 0.0379648i | ||||
\(142\) | −101.238 | + | 55.2580i | −0.712945 | + | 0.389141i | ||||
\(143\) | −171.144 | −1.19681 | ||||||||
\(144\) | −82.1726 | + | 219.858i | −0.570643 | + | 1.52679i | ||||
\(145\) | 0.620990 | 0.00428269 | ||||||||
\(146\) | −148.178 | + | 80.8787i | −1.01492 | + | 0.553964i | ||||
\(147\) | −187.550 | − | 147.158i | −1.27585 | − | 1.00107i | ||||
\(148\) | 255.595 | + | 46.2039i | 1.72700 | + | 0.312189i | ||||
\(149\) | −61.1532 | − | 147.637i | −0.410424 | − | 0.990851i | −0.985024 | − | 0.172417i | \(-0.944842\pi\) |
0.574600 | − | 0.818434i | \(-0.305158\pi\) | |||||||
\(150\) | 229.521 | − | 24.6367i | 1.53014 | − | 0.164245i | ||||
\(151\) | 83.9951 | + | 83.9951i | 0.556259 | + | 0.556259i | 0.928240 | − | 0.371981i | \(-0.121321\pi\) |
−0.371981 | + | 0.928240i | \(0.621321\pi\) | |||||||
\(152\) | −221.533 | + | 73.6082i | −1.45745 | + | 0.484264i | ||||
\(153\) | 29.3807 | + | 29.3807i | 0.192031 | + | 0.192031i | ||||
\(154\) | −4.68188 | + | 159.368i | −0.0304018 | + | 1.03486i | ||||
\(155\) | 37.4379 | − | 15.5073i | 0.241535 | − | 0.100047i | ||||
\(156\) | 285.789 | − | 62.0683i | 1.83198 | − | 0.397873i | ||||
\(157\) | −16.8081 | − | 6.96214i | −0.107058 | − | 0.0443448i | 0.328512 | − | 0.944500i | \(-0.393453\pi\) |
−0.435570 | + | 0.900155i | \(0.643453\pi\) | |||||||
\(158\) | −50.5499 | + | 172.049i | −0.319936 | + | 1.08892i | ||||
\(159\) | 154.293i | 0.970397i | ||||||||
\(160\) | 31.1048 | − | 18.4197i | 0.194405 | − | 0.115123i | ||||
\(161\) | 112.086 | + | 147.718i | 0.696186 | + | 0.917504i | ||||
\(162\) | 1.22295 | − | 4.16238i | 0.00754908 | − | 0.0256937i | ||||
\(163\) | 57.5378 | − | 138.909i | 0.352993 | − | 0.852200i | −0.643255 | − | 0.765652i | \(-0.722416\pi\) |
0.996248 | − | 0.0865478i | \(-0.0275835\pi\) | |||||||
\(164\) | −115.676 | + | 25.1227i | −0.705342 | + | 0.153187i | ||||
\(165\) | 57.8264 | − | 23.9525i | 0.350463 | − | 0.145167i | ||||
\(166\) | 75.9605 | − | 94.2285i | 0.457593 | − | 0.567642i | ||||
\(167\) | −32.4664 | − | 32.4664i | −0.194410 | − | 0.194410i | 0.603189 | − | 0.797599i | \(-0.293897\pi\) |
−0.797599 | + | 0.603189i | \(0.793897\pi\) | |||||||
\(168\) | −49.9795 | − | 267.824i | −0.297497 | − | 1.59419i | ||||
\(169\) | −40.1914 | − | 40.1914i | −0.237819 | − | 0.237819i | ||||
\(170\) | −0.682996 | − | 6.36294i | −0.00401762 | − | 0.0374291i | ||||
\(171\) | 395.476 | − | 163.811i | 2.31272 | − | 0.957961i | ||||
\(172\) | −43.0116 | + | 237.936i | −0.250067 | + | 1.38335i | ||||
\(173\) | 125.307 | − | 302.519i | 0.724319 | − | 1.74866i | 0.0636656 | − | 0.997971i | \(-0.479721\pi\) |
0.660654 | − | 0.750691i | \(-0.270279\pi\) | |||||||
\(174\) | 4.69495 | − | 2.56260i | 0.0269825 | − | 0.0147276i | ||||
\(175\) | −132.294 | + | 100.382i | −0.755964 | + | 0.573612i | ||||
\(176\) | −124.254 | + | 133.277i | −0.705990 | + | 0.757257i | ||||
\(177\) | − | 302.424i | − | 1.70861i | ||||||
\(178\) | 43.9405 | + | 80.5035i | 0.246857 | + | 0.452267i | ||||
\(179\) | −255.194 | − | 105.705i | −1.42566 | − | 0.590529i | −0.469386 | − | 0.882993i | \(-0.655525\pi\) |
−0.956276 | + | 0.292464i | \(0.905525\pi\) | |||||||
\(180\) | −54.4626 | + | 37.7867i | −0.302570 | + | 0.209926i | ||||
\(181\) | −84.3482 | + | 34.9382i | −0.466012 | + | 0.193029i | −0.603319 | − | 0.797500i | \(-0.706155\pi\) |
0.137307 | + | 0.990529i | \(0.456155\pi\) | |||||||
\(182\) | −153.074 | + | 144.336i | −0.841063 | + | 0.793057i | ||||
\(183\) | −182.181 | − | 182.181i | −0.995526 | − | 0.995526i | ||||
\(184\) | −15.2256 | + | 211.371i | −0.0827477 | + | 1.14876i | ||||
\(185\) | 51.8698 | + | 51.8698i | 0.280377 | + | 0.280377i | ||||
\(186\) | 219.054 | − | 271.735i | 1.17771 | − | 1.46094i | ||||
\(187\) | 12.3442 | + | 29.8015i | 0.0660117 | + | 0.159366i | ||||
\(188\) | −9.67292 | − | 6.22104i | −0.0514517 | − | 0.0330907i | ||||
\(189\) | 48.9652 | + | 186.769i | 0.259075 | + | 0.988195i | ||||
\(190\) | −63.2547 | − | 18.5849i | −0.332920 | − | 0.0978153i | ||||
\(191\) | −17.7129 | −0.0927376 | −0.0463688 | − | 0.998924i | \(-0.514765\pi\) | ||||
−0.0463688 | + | 0.998924i | \(0.514765\pi\) | |||||||
\(192\) | 159.154 | − | 267.620i | 0.828928 | − | 1.39385i | ||||
\(193\) | 315.395 | 1.63417 | 0.817086 | − | 0.576515i | \(-0.195588\pi\) | ||||
0.817086 | + | 0.576515i | \(0.195588\pi\) | |||||||
\(194\) | 16.5445 | − | 56.3102i | 0.0852811 | − | 0.290259i | ||||
\(195\) | 76.3069 | + | 31.6074i | 0.391318 | + | 0.162089i | ||||
\(196\) | 130.218 | + | 146.490i | 0.664377 | + | 0.747398i | ||||
\(197\) | −115.495 | + | 47.8395i | −0.586268 | + | 0.242840i | −0.656044 | − | 0.754722i | \(-0.727772\pi\) |
0.0697760 | + | 0.997563i | \(0.477772\pi\) | |||||||
\(198\) | 209.697 | − | 260.127i | 1.05907 | − | 1.31377i | ||||
\(199\) | −151.538 | − | 151.538i | −0.761498 | − | 0.761498i | 0.215095 | − | 0.976593i | \(-0.430994\pi\) |
−0.976593 | + | 0.215095i | \(0.930994\pi\) | |||||||
\(200\) | −189.300 | − | 13.6357i | −0.946501 | − | 0.0681787i | ||||
\(201\) | −169.731 | + | 169.731i | −0.844433 | + | 0.844433i | ||||
\(202\) | −22.1323 | − | 206.189i | −0.109566 | − | 1.02074i | ||||
\(203\) | −1.94194 | + | 3.32198i | −0.00956619 | + | 0.0163644i | ||||
\(204\) | −31.4213 | − | 45.2881i | −0.154026 | − | 0.222000i | ||||
\(205\) | −30.8860 | − | 12.7934i | −0.150663 | − | 0.0624068i | ||||
\(206\) | −139.874 | − | 256.263i | −0.678998 | − | 1.24399i | ||||
\(207\) | − | 388.594i | − | 1.87726i | ||||||
\(208\) | −240.300 | + | 8.41924i | −1.15529 | + | 0.0404771i | ||||
\(209\) | 332.315 | 1.59002 | ||||||||
\(210\) | 31.5201 | − | 70.1921i | 0.150096 | − | 0.334248i | ||||
\(211\) | 40.5373 | + | 16.7911i | 0.192120 | + | 0.0795787i | 0.476669 | − | 0.879083i | \(-0.341844\pi\) |
−0.284549 | + | 0.958661i | \(0.591844\pi\) | |||||||
\(212\) | 22.5660 | − | 124.833i | 0.106444 | − | 0.588835i | ||||
\(213\) | −259.208 | + | 107.368i | −1.21694 | + | 0.504073i | ||||
\(214\) | −28.9729 | − | 269.918i | −0.135388 | − | 1.26130i | ||||
\(215\) | −48.2860 | + | 48.2860i | −0.224586 | + | 0.224586i | ||||
\(216\) | −98.8732 | + | 197.273i | −0.457746 | + | 0.913301i | ||||
\(217\) | −34.1184 | + | 248.767i | −0.157228 | + | 1.14639i | ||||
\(218\) | 179.610 | + | 144.789i | 0.823898 | + | 0.664169i | ||||
\(219\) | −379.392 | + | 157.149i | −1.73238 | + | 0.717576i | ||||
\(220\) | −50.2884 | + | 10.9217i | −0.228584 | + | 0.0496442i | ||||
\(221\) | −16.2892 | + | 39.3257i | −0.0737069 | + | 0.177944i | ||||
\(222\) | 606.206 | + | 178.110i | 2.73066 | + | 0.802296i | ||||
\(223\) | − | 37.7997i | − | 0.169505i | −0.996402 | − | 0.0847527i | \(-0.972990\pi\) | ||
0.996402 | − | 0.0847527i | \(-0.0270100\pi\) | |||||||
\(224\) | 1.26623 | + | 223.996i | 0.00565282 | + | 0.999984i | ||||
\(225\) | 348.017 | 1.54674 | ||||||||
\(226\) | −72.6289 | + | 247.196i | −0.321367 | + | 1.09379i | ||||
\(227\) | 301.113 | + | 124.725i | 1.32649 | + | 0.549450i | 0.929652 | − | 0.368439i | \(-0.120108\pi\) |
0.396837 | + | 0.917889i | \(0.370108\pi\) | |||||||
\(228\) | −554.926 | + | 120.520i | −2.43389 | + | 0.528596i | ||||
\(229\) | −93.8004 | − | 226.454i | −0.409609 | − | 0.988883i | −0.985241 | − | 0.171174i | \(-0.945244\pi\) |
0.575632 | − | 0.817709i | \(-0.304756\pi\) | |||||||
\(230\) | −37.5619 | + | 46.5953i | −0.163313 | + | 0.202588i | ||||
\(231\) | −52.6991 | + | 384.245i | −0.228135 | + | 1.66340i | ||||
\(232\) | −4.17330 | + | 1.38665i | −0.0179884 | + | 0.00597695i | ||||
\(233\) | 2.60751 | + | 2.60751i | 0.0111910 | + | 0.0111910i | 0.712680 | − | 0.701489i | \(-0.247481\pi\) |
−0.701489 | + | 0.712680i | \(0.747481\pi\) | |||||||
\(234\) | 438.387 | − | 47.0564i | 1.87345 | − | 0.201096i | ||||
\(235\) | −1.24297 | − | 3.00079i | −0.00528922 | − | 0.0127693i | ||||
\(236\) | −44.2308 | + | 244.680i | −0.187419 | + | 1.03678i | ||||
\(237\) | −166.931 | + | 403.007i | −0.704351 | + | 1.70045i | ||||
\(238\) | 36.1743 | + | 16.2443i | 0.151993 | + | 0.0682532i | ||||
\(239\) | 440.423i | 1.84277i | 0.388648 | + | 0.921386i | \(0.372942\pi\) | ||||
−0.388648 | + | 0.921386i | \(0.627058\pi\) | |||||||
\(240\) | 80.0146 | − | 36.4759i | 0.333394 | − | 0.151983i | ||||
\(241\) | −323.395 | −1.34189 | −0.670944 | − | 0.741508i | \(-0.734111\pi\) | ||||
−0.670944 | + | 0.741508i | \(0.734111\pi\) | |||||||
\(242\) | 15.2644 | − | 8.33164i | 0.0630760 | − | 0.0344283i | ||||
\(243\) | −90.9614 | + | 219.600i | −0.374327 | + | 0.903704i | ||||
\(244\) | 120.751 | + | 174.041i | 0.494883 | + | 0.713283i | ||||
\(245\) | 6.63207 | + | 54.9554i | 0.0270697 | + | 0.224308i | ||||
\(246\) | −286.305 | + | 30.7319i | −1.16384 | + | 0.124926i | ||||
\(247\) | 310.080 | + | 310.080i | 1.25538 | + | 1.25538i | ||||
\(248\) | −216.971 | + | 187.813i | −0.874882 | + | 0.757311i | ||||
\(249\) | 208.187 | − | 208.187i | 0.836093 | − | 0.836093i | ||||
\(250\) | −85.7046 | − | 69.0891i | −0.342818 | − | 0.276356i | ||||
\(251\) | −121.162 | − | 292.510i | −0.482716 | − | 1.16538i | −0.958314 | − | 0.285716i | \(-0.907768\pi\) |
0.475599 | − | 0.879662i | \(-0.342232\pi\) | |||||||
\(252\) | −31.8260 | − | 409.512i | −0.126294 | − | 1.62505i | ||||
\(253\) | 115.447 | − | 278.713i | 0.456311 | − | 1.10163i | ||||
\(254\) | 15.3625 | + | 4.51366i | 0.0604822 | + | 0.0177703i | ||||
\(255\) | − | 15.5672i | − | 0.0610478i | ||||||
\(256\) | −167.906 | + | 193.244i | −0.655885 | + | 0.754861i | ||||
\(257\) | − | 99.4686i | − | 0.387037i | −0.981097 | − | 0.193519i | \(-0.938010\pi\) | ||
0.981097 | − | 0.193519i | \(-0.0619900\pi\) | |||||||
\(258\) | −165.804 | + | 564.322i | −0.642650 | + | 2.18729i | ||||
\(259\) | −439.682 | + | 115.271i | −1.69761 | + | 0.445064i | ||||
\(260\) | −57.1145 | − | 36.7326i | −0.219671 | − | 0.141279i | ||||
\(261\) | 7.45009 | − | 3.08593i | 0.0285444 | − | 0.0118235i | ||||
\(262\) | −236.015 | − | 190.259i | −0.900820 | − | 0.726178i | ||||
\(263\) | −14.8302 | + | 14.8302i | −0.0563887 | + | 0.0563887i | −0.734739 | − | 0.678350i | \(-0.762695\pi\) |
0.678350 | + | 0.734739i | \(0.262695\pi\) | |||||||
\(264\) | −335.132 | + | 290.095i | −1.26944 | + | 1.09885i | ||||
\(265\) | 25.3333 | − | 25.3333i | 0.0955972 | − | 0.0955972i | ||||
\(266\) | 297.227 | − | 280.262i | 1.11740 | − | 1.05362i | ||||
\(267\) | 85.3775 | + | 206.120i | 0.319766 | + | 0.771983i | ||||
\(268\) | 162.147 | − | 112.499i | 0.605026 | − | 0.419774i | ||||
\(269\) | −57.9041 | + | 139.793i | −0.215257 | + | 0.519676i | −0.994216 | − | 0.107399i | \(-0.965748\pi\) |
0.778959 | + | 0.627075i | \(0.215748\pi\) | |||||||
\(270\) | −54.7018 | + | 29.8574i | −0.202599 | + | 0.110583i | ||||
\(271\) | 178.407 | 0.658328 | 0.329164 | − | 0.944273i | \(-0.393233\pi\) | ||||
0.329164 | + | 0.944273i | \(0.393233\pi\) | |||||||
\(272\) | 18.7983 | + | 41.2364i | 0.0691113 | + | 0.151605i | ||||
\(273\) | −407.707 | + | 309.361i | −1.49343 | + | 1.13319i | ||||
\(274\) | −207.927 | − | 380.944i | −0.758859 | − | 1.39031i | ||||
\(275\) | 249.610 | + | 103.392i | 0.907673 | + | 0.375970i | ||||
\(276\) | −91.7018 | + | 507.285i | −0.332253 | + | 1.83799i | ||||
\(277\) | 51.5626 | + | 124.483i | 0.186147 | + | 0.449397i | 0.989212 | − | 0.146494i | \(-0.0467989\pi\) |
−0.803065 | + | 0.595891i | \(0.796799\pi\) | |||||||
\(278\) | −157.394 | + | 16.8946i | −0.566165 | + | 0.0607720i | ||||
\(279\) | 372.086 | − | 372.086i | 1.33364 | − | 1.33364i | ||||
\(280\) | −35.7677 | + | 52.1799i | −0.127742 | + | 0.186357i | ||||
\(281\) | 139.673 | − | 139.673i | 0.497055 | − | 0.497055i | −0.413465 | − | 0.910520i | \(-0.635682\pi\) |
0.910520 | + | 0.413465i | \(0.135682\pi\) | |||||||
\(282\) | −21.7805 | − | 17.5579i | −0.0772359 | − | 0.0622622i | ||||
\(283\) | 142.114 | + | 343.093i | 0.502168 | + | 1.21234i | 0.948300 | + | 0.317375i | \(0.102801\pi\) |
−0.446132 | + | 0.894967i | \(0.647199\pi\) | |||||||
\(284\) | 225.419 | − | 48.9569i | 0.793728 | − | 0.172383i | ||||
\(285\) | −148.167 | − | 61.3730i | −0.519886 | − | 0.215344i | ||||
\(286\) | 328.406 | + | 96.4893i | 1.14827 | + | 0.337375i | ||||
\(287\) | 165.023 | − | 125.217i | 0.574995 | − | 0.436296i | ||||
\(288\) | 281.634 | − | 375.555i | 0.977896 | − | 1.30401i | ||||
\(289\) | −280.977 | −0.972240 | ||||||||
\(290\) | −1.19161 | − | 0.350108i | −0.00410901 | − | 0.00120727i | ||||
\(291\) | 54.6351 | − | 131.901i | 0.187749 | − | 0.453267i | ||||
\(292\) | 329.936 | − | 71.6560i | 1.12992 | − | 0.245397i | ||||
\(293\) | −202.833 | − | 489.683i | −0.692264 | − | 1.67127i | −0.740168 | − | 0.672422i | \(-0.765254\pi\) |
0.0479038 | − | 0.998852i | \(-0.484746\pi\) | |||||||
\(294\) | 276.923 | + | 388.118i | 0.941914 | + | 1.32013i | ||||
\(295\) | −49.6547 | + | 49.6547i | −0.168321 | + | 0.168321i | ||||
\(296\) | −464.410 | − | 232.762i | −1.56895 | − | 0.786360i | ||||
\(297\) | 222.120 | − | 222.120i | 0.747879 | − | 0.747879i | ||||
\(298\) | 34.1100 | + | 317.776i | 0.114463 | + | 1.06636i | ||||
\(299\) | 367.786 | − | 152.342i | 1.23005 | − | 0.509504i | ||||
\(300\) | −454.315 | − | 82.1264i | −1.51438 | − | 0.273755i | ||||
\(301\) | −107.307 | − | 409.303i | −0.356502 | − | 1.35981i | ||||
\(302\) | −113.822 | − | 208.533i | −0.376893 | − | 0.690507i | ||||
\(303\) | − | 504.451i | − | 1.66485i | ||||||
\(304\) | 466.597 | − | 16.3479i | 1.53486 | − | 0.0537760i | ||||
\(305\) | 59.8244i | 0.196145i | ||||||||
\(306\) | −39.8138 | − | 72.9429i | −0.130110 | − | 0.238375i | ||||
\(307\) | 29.3441 | − | 70.8430i | 0.0955835 | − | 0.230759i | −0.868855 | − | 0.495067i | \(-0.835144\pi\) |
0.964438 | + | 0.264308i | \(0.0851435\pi\) | |||||||
\(308\) | 98.8344 | − | 303.171i | 0.320891 | − | 0.984322i | ||||
\(309\) | −271.778 | − | 656.130i | −0.879540 | − | 2.12340i | ||||
\(310\) | −80.5821 | + | 8.64966i | −0.259942 | + | 0.0279021i | ||||
\(311\) | −290.745 | + | 290.745i | −0.934873 | + | 0.934873i | −0.998005 | − | 0.0631324i | \(-0.979891\pi\) |
0.0631324 | + | 0.998005i | \(0.479891\pi\) | |||||||
\(312\) | −583.392 | − | 42.0231i | −1.86985 | − | 0.134690i | ||||
\(313\) | −171.163 | − | 171.163i | −0.546848 | − | 0.546848i | 0.378680 | − | 0.925528i | \(-0.376378\pi\) |
−0.925528 | + | 0.378680i | \(0.876378\pi\) | |||||||
\(314\) | 28.3277 | + | 22.8358i | 0.0902156 | + | 0.0727255i | ||||
\(315\) | 58.5430 | − | 100.147i | 0.185851 | − | 0.317926i | ||||
\(316\) | 194.000 | − | 301.644i | 0.613923 | − | 0.954571i | ||||
\(317\) | −107.931 | + | 260.569i | −0.340477 | + | 0.821985i | 0.657190 | + | 0.753725i | \(0.271745\pi\) |
−0.997668 | + | 0.0682601i | \(0.978255\pi\) | |||||||
\(318\) | 86.9890 | − | 296.072i | 0.273550 | − | 0.931043i | ||||
\(319\) | 6.26025 | 0.0196246 | ||||||||
\(320\) | −70.0717 | + | 17.8089i | −0.218974 | + | 0.0556527i | ||||
\(321\) | − | 660.366i | − | 2.05721i | ||||||
\(322\) | −131.799 | − | 346.648i | −0.409313 | − | 1.07655i | ||||
\(323\) | 31.6293 | − | 76.3598i | 0.0979234 | − | 0.236408i | ||||
\(324\) | −4.69342 | + | 7.29766i | −0.0144859 | + | 0.0225236i | ||||
\(325\) | 136.434 | + | 329.382i | 0.419798 | + | 1.01348i | ||||
\(326\) | −188.724 | + | 234.111i | −0.578908 | + | 0.718132i | ||||
\(327\) | 396.827 | + | 396.827i | 1.21354 | + | 1.21354i | ||||
\(328\) | 236.134 | + | 17.0093i | 0.719919 | + | 0.0518575i | ||||
\(329\) | 19.9396 | + | 2.73472i | 0.0606067 | + | 0.00831221i | ||||
\(330\) | −124.467 | + | 13.3602i | −0.377172 | + | 0.0404855i | ||||
\(331\) | 21.0396 | + | 50.7941i | 0.0635638 | + | 0.153457i | 0.952470 | − | 0.304633i | \(-0.0985339\pi\) |
−0.888906 | + | 0.458090i | \(0.848534\pi\) | |||||||
\(332\) | −198.885 | + | 137.988i | −0.599051 | + | 0.415628i | ||||
\(333\) | 880.049 | + | 364.528i | 2.64279 | + | 1.09468i | ||||
\(334\) | 43.9953 | + | 80.6038i | 0.131722 | + | 0.241329i | ||||
\(335\) | 55.7360 | 0.166376 | ||||||||
\(336\) | −55.0913 | + | 542.103i | −0.163962 | + | 1.61340i | ||||
\(337\) | 32.1675i | 0.0954526i | 0.998860 | + | 0.0477263i | \(0.0151975\pi\) | ||||
−0.998860 | + | 0.0477263i | \(0.984802\pi\) | |||||||
\(338\) | 54.4633 | + | 99.7824i | 0.161134 | + | 0.295214i | ||||
\(339\) | −239.843 | + | 579.031i | −0.707500 | + | 1.70806i | ||||
\(340\) | −2.27677 | + | 12.5949i | −0.00669638 | + | 0.0370437i | ||||
\(341\) | 377.415 | − | 156.330i | 1.10679 | − | 0.458447i | ||||
\(342\) | −851.230 | + | 91.3707i | −2.48898 | + | 0.267166i | ||||
\(343\) | −314.723 | − | 136.376i | −0.917559 | − | 0.397599i | ||||
\(344\) | 216.680 | − | 432.323i | 0.629884 | − | 1.25675i | ||||
\(345\) | −102.947 | + | 102.947i | −0.298397 | + | 0.298397i | ||||
\(346\) | −411.008 | + | 509.853i | −1.18788 | + | 1.47356i | ||||
\(347\) | 221.061 | − | 91.5666i | 0.637065 | − | 0.263881i | −0.0406867 | − | 0.999172i | \(-0.512955\pi\) |
0.677751 | + | 0.735291i | \(0.262955\pi\) | |||||||
\(348\) | −10.4539 | + | 2.27039i | −0.0300398 | + | 0.00652410i | ||||
\(349\) | 479.801 | + | 198.740i | 1.37479 | + | 0.569455i | 0.943082 | − | 0.332559i | \(-0.107912\pi\) |
0.431705 | + | 0.902015i | \(0.357912\pi\) | |||||||
\(350\) | 310.451 | − | 118.037i | 0.887004 | − | 0.337247i | ||||
\(351\) | 414.515 | 1.18096 | ||||||||
\(352\) | 313.571 | − | 185.691i | 0.890826 | − | 0.527531i | ||||
\(353\) | − | 481.713i | − | 1.36463i | −0.731060 | − | 0.682313i | \(-0.760974\pi\) | ||
0.731060 | − | 0.682313i | \(-0.239026\pi\) | |||||||
\(354\) | −170.504 | + | 580.318i | −0.481649 | + | 1.63932i | ||||
\(355\) | 60.1878 | + | 24.9306i | 0.169543 | + | 0.0702270i | ||||
\(356\) | −38.9300 | − | 179.251i | −0.109354 | − | 0.503513i | ||||
\(357\) | 83.2764 | + | 48.6811i | 0.233267 | + | 0.136362i | ||||
\(358\) | 430.093 | + | 346.711i | 1.20138 | + | 0.968467i | ||||
\(359\) | −408.722 | + | 408.722i | −1.13850 | + | 1.13850i | −0.149783 | + | 0.988719i | \(0.547857\pi\) |
−0.988719 | + | 0.149783i | \(0.952143\pi\) | |||||||
\(360\) | 125.811 | − | 41.8030i | 0.349476 | − | 0.116120i | ||||
\(361\) | −346.825 | − | 346.825i | −0.960734 | − | 0.960734i | ||||
\(362\) | 181.553 | − | 19.4878i | 0.501527 | − | 0.0538337i | ||||
\(363\) | 39.0827 | − | 16.1886i | 0.107666 | − | 0.0445966i | ||||
\(364\) | 375.107 | − | 190.664i | 1.03051 | − | 0.523803i | ||||
\(365\) | 88.0942 | + | 36.4898i | 0.241354 | + | 0.0999721i | ||||
\(366\) | 246.874 | + | 452.298i | 0.674518 | + | 1.23579i | ||||
\(367\) | −403.985 | −1.10078 | −0.550389 | − | 0.834909i | \(-0.685520\pi\) | ||||
−0.550389 | + | 0.834909i | \(0.685520\pi\) | |||||||
\(368\) | 148.385 | − | 397.014i | 0.403221 | − | 1.07884i | ||||
\(369\) | −434.118 | −1.17647 | ||||||||
\(370\) | −70.2888 | − | 128.776i | −0.189970 | − | 0.348044i | ||||
\(371\) | 56.2987 | + | 214.741i | 0.151748 | + | 0.578817i | ||||
\(372\) | −573.541 | + | 397.929i | −1.54178 | + | 1.06970i | ||||
\(373\) | −136.799 | − | 330.263i | −0.366754 | − | 0.885424i | −0.994278 | − | 0.106826i | \(-0.965931\pi\) |
0.627523 | − | 0.778598i | \(-0.284069\pi\) | |||||||
\(374\) | −6.88534 | − | 64.1454i | −0.0184100 | − | 0.171512i | ||||
\(375\) | −189.354 | − | 189.354i | −0.504945 | − | 0.504945i | ||||
\(376\) | 15.0539 | + | 17.3910i | 0.0400370 | + | 0.0462527i | ||||
\(377\) | 5.84137 | + | 5.84137i | 0.0154944 | + | 0.0154944i | ||||
\(378\) | 11.3396 | − | 385.995i | 0.0299991 | − | 1.02115i | ||||
\(379\) | 417.974 | − | 173.130i | 1.10283 | − | 0.456809i | 0.244370 | − | 0.969682i | \(-0.421419\pi\) |
0.858464 | + | 0.512873i | \(0.171419\pi\) | |||||||
\(380\) | 110.901 | + | 71.3248i | 0.291844 | + | 0.187697i | ||||
\(381\) | 35.9850 | + | 14.9055i | 0.0944488 | + | 0.0391220i | ||||
\(382\) | 33.9891 | + | 9.98635i | 0.0889766 | + | 0.0261423i | ||||
\(383\) | − | 311.639i | − | 0.813680i | −0.913499 | − | 0.406840i | \(-0.866631\pi\) | ||
0.913499 | − | 0.406840i | \(-0.133369\pi\) | |||||||
\(384\) | −456.281 | + | 423.803i | −1.18823 | + | 1.10365i | ||||
\(385\) | 71.7415 | − | 54.4362i | 0.186341 | − | 0.141393i | ||||
\(386\) | −605.209 | − | 177.817i | −1.56790 | − | 0.460665i | ||||
\(387\) | −339.342 | + | 819.244i | −0.876852 | + | 2.11691i | ||||
\(388\) | −63.4943 | + | 98.7255i | −0.163645 | + | 0.254447i | ||||
\(389\) | 69.8329 | − | 28.9257i | 0.179519 | − | 0.0743592i | −0.291114 | − | 0.956688i | \(-0.594026\pi\) |
0.470633 | + | 0.882329i | \(0.344026\pi\) | |||||||
\(390\) | −128.605 | − | 103.672i | −0.329756 | − | 0.265826i | ||||
\(391\) | −53.0549 | − | 53.0549i | −0.135690 | − | 0.135690i | ||||
\(392\) | −167.284 | − | 354.514i | −0.426745 | − | 0.904372i | ||||
\(393\) | −521.448 | − | 521.448i | −1.32684 | − | 1.32684i | ||||
\(394\) | 248.593 | − | 26.6839i | 0.630948 | − | 0.0677258i | ||||
\(395\) | 93.5778 | − | 38.7612i | 0.236906 | − | 0.0981296i | ||||
\(396\) | −549.042 | + | 380.931i | −1.38647 | + | 0.961947i | ||||
\(397\) | 76.4542 | − | 184.577i | 0.192580 | − | 0.464929i | −0.797865 | − | 0.602836i | \(-0.794037\pi\) |
0.990445 | + | 0.137907i | \(0.0440374\pi\) | |||||||
\(398\) | 205.349 | + | 376.221i | 0.515953 | + | 0.945278i | ||||
\(399\) | 791.657 | − | 600.696i | 1.98410 | − | 1.50550i | ||||
\(400\) | 355.559 | + | 132.891i | 0.888896 | + | 0.332228i | ||||
\(401\) | 98.8758i | 0.246573i | 0.992371 | + | 0.123286i | \(0.0393434\pi\) | ||||
−0.992371 | + | 0.123286i | \(0.960657\pi\) | |||||||
\(402\) | 421.388 | − | 230.002i | 1.04823 | − | 0.572145i | ||||
\(403\) | 498.032 | + | 206.292i | 1.23581 | + | 0.511890i | ||||
\(404\) | −73.7781 | + | 408.133i | −0.182619 | + | 1.01023i | ||||
\(405\) | −2.26392 | + | 0.937746i | −0.00558992 | + | 0.00231542i | ||||
\(406\) | 5.59926 | − | 5.27966i | 0.0137913 | − | 0.0130041i | ||||
\(407\) | 522.904 | + | 522.904i | 1.28478 | + | 1.28478i | ||||
\(408\) | 34.7611 | + | 104.618i | 0.0851988 | + | 0.256416i | ||||
\(409\) | 273.389 | + | 273.389i | 0.668432 | + | 0.668432i | 0.957353 | − | 0.288921i | \(-0.0932965\pi\) |
−0.288921 | + | 0.957353i | \(0.593297\pi\) | |||||||
\(410\) | 52.0540 | + | 41.9623i | 0.126961 | + | 0.102347i | ||||
\(411\) | −404.008 | − | 975.361i | −0.982988 | − | 2.37314i | ||||
\(412\) | 123.924 | + | 570.600i | 0.300786 | + | 1.38495i | ||||
\(413\) | −110.349 | − | 420.906i | −0.267188 | − | 1.01914i | ||||
\(414\) | −219.085 | + | 745.668i | −0.529191 | + | 1.80113i | ||||
\(415\) | −68.3642 | −0.164733 | ||||||||
\(416\) | 465.856 | + | 119.323i | 1.11984 | + | 0.286834i | ||||
\(417\) | −385.070 | −0.923430 | ||||||||
\(418\) | −637.676 | − | 187.356i | −1.52554 | − | 0.448220i | ||||
\(419\) | 599.714 | + | 248.410i | 1.43130 | + | 0.592863i | 0.957672 | − | 0.287863i | \(-0.0929447\pi\) |
0.473626 | + | 0.880726i | \(0.342945\pi\) | |||||||
\(420\) | −100.057 | + | 116.920i | −0.238232 | + | 0.278381i | ||||
\(421\) | −313.459 | + | 129.839i | −0.744557 | + | 0.308406i | −0.722519 | − | 0.691351i | \(-0.757016\pi\) |
−0.0220386 | + | 0.999757i | \(0.507016\pi\) | |||||||
\(422\) | −68.3200 | − | 55.0748i | −0.161896 | − | 0.130509i | ||||
\(423\) | −29.8240 | − | 29.8240i | −0.0705060 | − | 0.0705060i | ||||
\(424\) | −113.681 | + | 226.818i | −0.268117 | + | 0.534949i | ||||
\(425\) | 47.5150 | − | 47.5150i | 0.111800 | − | 0.111800i | ||||
\(426\) | 557.925 | − | 59.8875i | 1.30968 | − | 0.140581i | ||||
\(427\) | −320.030 | − | 187.081i | −0.749484 | − | 0.438128i | ||||
\(428\) | −96.5814 | + | 534.278i | −0.225657 | + | 1.24831i | ||||
\(429\) | 769.257 | + | 318.637i | 1.79314 | + | 0.742743i | ||||
\(430\) | 119.879 | − | 65.4323i | 0.278788 | − | 0.152168i | ||||
\(431\) | − | 276.473i | − | 0.641468i | −0.947169 | − | 0.320734i | \(-0.896070\pi\) | ||
0.947169 | − | 0.320734i | \(-0.103930\pi\) | |||||||
\(432\) | 300.947 | − | 322.801i | 0.696638 | − | 0.747225i | ||||
\(433\) | −47.4776 | −0.109648 | −0.0548240 | − | 0.998496i | \(-0.517460\pi\) | ||||
−0.0548240 | + | 0.998496i | \(0.517460\pi\) | |||||||
\(434\) | 205.722 | − | 458.122i | 0.474014 | − | 1.05558i | ||||
\(435\) | −2.79122 | − | 1.15616i | −0.00641661 | − | 0.00265784i | ||||
\(436\) | −263.021 | − | 379.096i | −0.603259 | − | 0.869487i | ||||
\(437\) | −714.140 | + | 295.806i | −1.63419 | + | 0.676903i | ||||
\(438\) | 816.610 | − | 87.6547i | 1.86441 | − | 0.200125i | ||||
\(439\) | 475.753 | − | 475.753i | 1.08372 | − | 1.08372i | 0.0875602 | − | 0.996159i | \(-0.472093\pi\) |
0.996159 | − | 0.0875602i | \(-0.0279070\pi\) | |||||||
\(440\) | 102.656 | + | 7.39452i | 0.233308 | + | 0.0168057i | ||||
\(441\) | 352.660 | + | 626.350i | 0.799682 | + | 1.42029i | ||||
\(442\) | 53.4287 | − | 66.2779i | 0.120879 | − | 0.149950i | ||||
\(443\) | −474.354 | + | 196.484i | −1.07078 | + | 0.443530i | −0.847265 | − | 0.531171i | \(-0.821752\pi\) |
−0.223512 | + | 0.974701i | \(0.571752\pi\) | |||||||
\(444\) | −1062.83 | − | 683.546i | −2.39375 | − | 1.53952i | ||||
\(445\) | 19.8245 | − | 47.8607i | 0.0445495 | − | 0.107552i | ||||
\(446\) | −21.3111 | + | 72.5335i | −0.0477827 | + | 0.162631i | ||||
\(447\) | 777.453i | 1.73927i | ||||||||
\(448\) | 123.857 | − | 430.538i | 0.276467 | − | 0.961023i | ||||
\(449\) | 614.837 | 1.36935 | 0.684674 | − | 0.728850i | \(-0.259945\pi\) | ||||
0.684674 | + | 0.728850i | \(0.259945\pi\) | |||||||
\(450\) | −667.807 | − | 196.209i | −1.48402 | − | 0.436019i | ||||
\(451\) | −311.364 | − | 128.971i | −0.690386 | − | 0.285967i | ||||
\(452\) | 278.734 | − | 433.395i | 0.616668 | − | 0.958839i | ||||
\(453\) | −221.158 | − | 533.924i | −0.488208 | − | 1.17864i | ||||
\(454\) | −507.484 | − | 409.098i | −1.11781 | − | 0.901098i | ||||
\(455\) | 117.735 | + | 16.1473i | 0.258758 | + | 0.0354887i | ||||
\(456\) | 1132.79 | + | 81.5976i | 2.48419 | + | 0.178942i | ||||
\(457\) | 103.149 | + | 103.149i | 0.225710 | + | 0.225710i | 0.810898 | − | 0.585188i | \(-0.198979\pi\) |
−0.585188 | + | 0.810898i | \(0.698979\pi\) | |||||||
\(458\) | 52.3200 | + | 487.425i | 0.114236 | + | 1.06425i | ||||
\(459\) | −29.8980 | − | 72.1801i | −0.0651372 | − | 0.157255i | ||||
\(460\) | 98.3471 | − | 68.2343i | 0.213798 | − | 0.148335i | ||||
\(461\) | 18.1284 | − | 43.7659i | 0.0393242 | − | 0.0949370i | −0.902997 | − | 0.429646i | \(-0.858638\pi\) |
0.942321 | + | 0.334709i | \(0.108638\pi\) | |||||||
\(462\) | 317.757 | − | 707.612i | 0.687786 | − | 1.53163i | ||||
\(463\) | 51.0602i | 0.110281i | 0.998479 | + | 0.0551406i | \(0.0175607\pi\) | ||||
−0.998479 | + | 0.0551406i | \(0.982439\pi\) | |||||||
\(464\) | 8.78990 | − | 0.307967i | 0.0189437 | − | 0.000663721i | ||||
\(465\) | −197.147 | −0.423973 | ||||||||
\(466\) | −3.53343 | − | 6.47360i | −0.00758247 | − | 0.0138919i | ||||
\(467\) | −251.810 | + | 607.923i | −0.539208 | + | 1.30176i | 0.386069 | + | 0.922470i | \(0.373833\pi\) |
−0.925277 | + | 0.379293i | \(0.876167\pi\) | |||||||
\(468\) | −867.747 | − | 156.862i | −1.85416 | − | 0.335176i | ||||
\(469\) | −174.295 | + | 298.159i | −0.371632 | + | 0.635733i | ||||
\(470\) | 0.693302 | + | 6.45895i | 0.00147511 | + | 0.0137425i | ||||
\(471\) | 62.5868 | + | 62.5868i | 0.132881 | + | 0.132881i | ||||
\(472\) | 222.822 | − | 444.578i | 0.472081 | − | 0.941902i | ||||
\(473\) | −486.775 | + | 486.775i | −1.02912 | + | 1.02912i | ||||
\(474\) | 547.534 | − | 679.213i | 1.15514 | − | 1.43294i | ||||
\(475\) | −264.919 | − | 639.571i | −0.557724 | − | 1.34646i | ||||
\(476\) | −60.2561 | − | 51.5657i | −0.126589 | − | 0.108331i | ||||
\(477\) | 178.036 | − | 429.817i | 0.373241 | − | 0.901083i | ||||
\(478\) | 248.306 | − | 845.123i | 0.519469 | − | 1.76804i | ||||
\(479\) | − | 729.759i | − | 1.52351i | −0.647868 | − | 0.761753i | \(-0.724339\pi\) | ||
0.647868 | − | 0.761753i | \(-0.275661\pi\) | |||||||
\(480\) | −174.104 | + | 24.8818i | −0.362717 | + | 0.0518371i | ||||
\(481\) | 975.832i | 2.02876i | ||||||||
\(482\) | 620.560 | + | 182.327i | 1.28747 | + | 0.378272i | ||||
\(483\) | −228.781 | − | 872.645i | −0.473667 | − | 1.80672i | ||||
\(484\) | −33.9880 | + | 7.38158i | −0.0702232 | + | 0.0152512i | ||||
\(485\) | −30.6272 | + | 12.6862i | −0.0631488 | + | 0.0261571i | ||||
\(486\) | 298.353 | − | 370.106i | 0.613896 | − | 0.761534i | ||||
\(487\) | 191.046 | − | 191.046i | 0.392292 | − | 0.392292i | −0.483211 | − | 0.875504i | \(-0.660530\pi\) |
0.875504 | + | 0.483211i | \(0.160530\pi\) | |||||||
\(488\) | −133.586 | − | 402.044i | −0.273742 | − | 0.823861i | ||||
\(489\) | −517.242 | + | 517.242i | −1.05775 | + | 1.05775i | ||||
\(490\) | 18.2571 | − | 109.193i | 0.0372595 | − | 0.222842i | ||||
\(491\) | 6.44908 | + | 15.5695i | 0.0131346 | + | 0.0317097i | 0.930311 | − | 0.366772i | \(-0.119537\pi\) |
−0.917176 | + | 0.398482i | \(0.869537\pi\) | |||||||
\(492\) | 566.714 | + | 102.445i | 1.15186 | + | 0.208221i | ||||
\(493\) | 0.595842 | − | 1.43849i | 0.00120860 | − | 0.00291783i | ||||
\(494\) | −420.189 | − | 769.828i | −0.850585 | − | 1.55836i | ||||
\(495\) | −188.726 | −0.381265 | ||||||||
\(496\) | 522.230 | − | 238.067i | 1.05288 | − | 0.479974i | ||||
\(497\) | −321.583 | + | 244.011i | −0.647048 | + | 0.490969i | ||||
\(498\) | −516.862 | + | 282.114i | −1.03788 | + | 0.566495i | ||||
\(499\) | −886.517 | − | 367.207i | −1.77659 | − | 0.735887i | −0.993481 | − | 0.113999i | \(-0.963634\pi\) |
−0.783106 | − | 0.621888i | \(-0.786366\pi\) | |||||||
\(500\) | 125.506 | + | 180.894i | 0.251012 | + | 0.361788i | ||||
\(501\) | 85.4839 | + | 206.376i | 0.170626 | + | 0.411929i | ||||
\(502\) | 67.5816 | + | 629.605i | 0.134625 | + | 1.25419i | ||||
\(503\) | 387.368 | − | 387.368i | 0.770115 | − | 0.770115i | −0.208012 | − | 0.978126i | \(-0.566699\pi\) |
0.978126 | + | 0.208012i | \(0.0666992\pi\) | |||||||
\(504\) | −169.808 | + | 803.751i | −0.336921 | + | 1.59474i | ||||
\(505\) | −82.8254 | + | 82.8254i | −0.164011 | + | 0.164011i | ||||
\(506\) | −378.665 | + | 469.731i | −0.748349 | + | 0.928323i | ||||
\(507\) | 105.824 | + | 255.481i | 0.208725 | + | 0.503907i | ||||
\(508\) | −26.9342 | − | 17.3224i | −0.0530200 | − | 0.0340993i | ||||
\(509\) | 606.452 | + | 251.201i | 1.19146 | + | 0.493518i | 0.888230 | − | 0.459400i | \(-0.151935\pi\) |
0.303229 | + | 0.952918i | \(0.401935\pi\) | |||||||
\(510\) | −8.77663 | + | 29.8717i | −0.0172091 | + | 0.0585720i | ||||
\(511\) | −470.687 | + | 357.149i | −0.921109 | + | 0.698922i | ||||
\(512\) | 431.143 | − | 276.151i | 0.842077 | − | 0.539357i | ||||
\(513\) | −804.877 | −1.56896 | ||||||||
\(514\) | −56.0794 | + | 190.869i | −0.109104 | + | 0.371341i | ||||
\(515\) | −63.1064 | + | 152.352i | −0.122537 | + | 0.295830i | ||||
\(516\) | 636.318 | − | 989.393i | 1.23317 | − | 1.91743i | ||||
\(517\) | −12.5305 | − | 30.2512i | −0.0242369 | − | 0.0585129i | ||||
\(518\) | 908.691 | + | 26.6952i | 1.75423 | + | 0.0515352i | ||||
\(519\) | −1126.46 | + | 1126.46i | −2.17045 | + | 2.17045i | ||||
\(520\) | 88.8870 | + | 102.686i | 0.170936 | + | 0.197474i | ||||
\(521\) | 611.974 | − | 611.974i | 1.17461 | − | 1.17461i | 0.193517 | − | 0.981097i | \(-0.438011\pi\) |
0.981097 | − | 0.193517i | \(-0.0619894\pi\) | |||||||
\(522\) | −16.0357 | + | 1.72127i | −0.0307198 | + | 0.00329745i | ||||
\(523\) | −609.300 | + | 252.380i | −1.16501 | + | 0.482563i | −0.879540 | − | 0.475825i | \(-0.842149\pi\) |
−0.285469 | + | 0.958388i | \(0.592149\pi\) | |||||||
\(524\) | 345.620 | + | 498.148i | 0.659581 | + | 0.950665i | ||||
\(525\) | 781.525 | − | 204.892i | 1.48862 | − | 0.390271i | ||||
\(526\) | 36.8187 | − | 20.0964i | 0.0699975 | − | 0.0382062i | ||||
\(527\) | − | 101.602i | − | 0.192794i | ||||||
\(528\) | 806.634 | − | 367.717i | 1.52772 | − | 0.696433i | ||||
\(529\) | 172.713i | 0.326489i | ||||||||
\(530\) | −62.8944 | + | 34.3291i | −0.118669 | + | 0.0647719i | ||||
\(531\) | −348.961 | + | 842.466i | −0.657177 | + | 1.58657i | ||||
\(532\) | −728.356 | + | 370.218i | −1.36909 | + | 0.695899i | ||||
\(533\) | −170.189 | − | 410.872i | −0.319303 | − | 0.770867i | ||||
\(534\) | −47.6219 | − | 443.656i | −0.0891796 | − | 0.830816i | ||||
\(535\) | −108.425 | + | 108.425i | −0.202663 | + | 0.202663i | ||||
\(536\) | −374.568 | + | 124.457i | −0.698822 | + | 0.232196i | ||||
\(537\) | 950.242 | + | 950.242i | 1.76954 | + | 1.76954i | ||||
\(538\) | 189.925 | − | 235.601i | 0.353021 | − | 0.437921i | ||||
\(539\) | 66.8584 | + | 554.011i | 0.124042 | + | 1.02785i | ||||
\(540\) | 121.800 | − | 26.4527i | 0.225556 | − | 0.0489866i | ||||
\(541\) | −151.319 | + | 365.317i | −0.279703 | + | 0.675263i | −0.999827 | − | 0.0185821i | \(-0.994085\pi\) |
0.720124 | + | 0.693845i | \(0.244085\pi\) | |||||||
\(542\) | −342.343 | − | 100.584i | −0.631630 | − | 0.185579i | ||||
\(543\) | 444.176 | 0.818004 | ||||||||
\(544\) | −12.8231 | − | 89.7265i | −0.0235719 | − | 0.164938i | ||||
\(545\) | − | 130.310i | − | 0.239100i | ||||||
\(546\) | 956.761 | − | 363.769i | 1.75231 | − | 0.666244i | ||||
\(547\) | 179.196 | − | 432.617i | 0.327598 | − | 0.790891i | −0.671172 | − | 0.741302i | \(-0.734209\pi\) |
0.998770 | − | 0.0495891i | \(-0.0157912\pi\) | |||||||
\(548\) | 184.217 | + | 848.218i | 0.336163 | + | 1.54784i | ||||
\(549\) | 297.289 | + | 717.720i | 0.541511 | + | 1.30732i | ||||
\(550\) | −420.683 | − | 339.125i | −0.764878 | − | 0.616591i | ||||
\(551\) | −11.3424 | − | 11.3424i | −0.0205851 | − | 0.0205851i | ||||
\(552\) | 461.968 | − | 921.724i | 0.836899 | − | 1.66979i | ||||
\(553\) | −85.2805 | + | 621.805i | −0.154214 | + | 1.12442i | ||||
\(554\) | −28.7606 | − | 267.940i | −0.0519144 | − | 0.483646i | ||||
\(555\) | −136.573 | − | 329.716i | −0.246077 | − | 0.594083i | ||||
\(556\) | 311.547 | + | 56.3182i | 0.560336 | + | 0.101292i | ||||
\(557\) | 99.1912 | + | 41.0863i | 0.178081 | + | 0.0737636i | 0.469943 | − | 0.882697i | \(-0.344275\pi\) |
−0.291861 | + | 0.956461i | \(0.594275\pi\) | |||||||
\(558\) | −923.770 | + | 504.213i | −1.65550 | + | 0.903608i | ||||
\(559\) | −908.409 | −1.62506 | ||||||||
\(560\) | 98.0528 | − | 79.9620i | 0.175094 | − | 0.142789i | ||||
\(561\) | − | 156.934i | − | 0.279740i | ||||||
\(562\) | −346.762 | + | 189.270i | −0.617015 | + | 0.336780i | ||||
\(563\) | 271.295 | − | 654.963i | 0.481873 | − | 1.16334i | −0.476845 | − | 0.878987i | \(-0.658220\pi\) |
0.958718 | − | 0.284358i | \(-0.0917803\pi\) | |||||||
\(564\) | 31.8954 | + | 45.9714i | 0.0565522 | + | 0.0815096i | ||||
\(565\) | 134.450 | − | 55.6911i | 0.237965 | − | 0.0985683i | ||||
\(566\) | −79.2682 | − | 738.480i | −0.140050 | − | 1.30473i | ||||
\(567\) | 2.06319 | − | 15.0433i | 0.00363877 | − | 0.0265314i | ||||
\(568\) | −460.156 | − | 33.1461i | −0.810133 | − | 0.0583558i | ||||
\(569\) | −82.1858 | + | 82.1858i | −0.144439 | + | 0.144439i | −0.775629 | − | 0.631190i | \(-0.782567\pi\) |
0.631190 | + | 0.775629i | \(0.282567\pi\) | |||||||
\(570\) | 249.716 | + | 201.303i | 0.438098 | + | 0.353164i | ||||
\(571\) | 183.405 | − | 75.9688i | 0.321199 | − | 0.133045i | −0.216258 | − | 0.976336i | \(-0.569385\pi\) |
0.537457 | + | 0.843291i | \(0.319385\pi\) | |||||||
\(572\) | −575.776 | − | 370.305i | −1.00660 | − | 0.647386i | ||||
\(573\) | 79.6158 | + | 32.9779i | 0.138945 | + | 0.0575531i | ||||
\(574\) | −387.258 | + | 147.239i | −0.674666 | + | 0.256514i | ||||
\(575\) | −628.441 | −1.09294 | ||||||||
\(576\) | −752.159 | + | 561.867i | −1.30583 | + | 0.975464i | ||||
\(577\) | 988.829i | 1.71374i | 0.515531 | + | 0.856871i | \(0.327595\pi\) | ||||
−0.515531 | + | 0.856871i | \(0.672405\pi\) | |||||||
\(578\) | 539.165 | + | 158.412i | 0.932811 | + | 0.274070i | ||||
\(579\) | −1417.64 | − | 587.205i | −2.44842 | − | 1.01417i | ||||
\(580\) | 2.08918 | + | 1.34364i | 0.00360204 | + | 0.00231662i | ||||
\(581\) | 213.786 | − | 365.713i | 0.367962 | − | 0.629455i | ||||
\(582\) | −179.203 | + | 222.300i | −0.307909 | + | 0.381959i | ||||
\(583\) | 255.387 | − | 255.387i | 0.438056 | − | 0.438056i | ||||
\(584\) | −673.510 | − | 48.5145i | −1.15327 | − | 0.0830728i | ||||
\(585\) | −176.098 | − | 176.098i | −0.301023 | − | 0.301023i | ||||
\(586\) | 113.136 | + | 1054.00i | 0.193066 | + | 1.79864i | ||||
\(587\) | −446.432 | + | 184.918i | −0.760532 | + | 0.315023i | −0.729031 | − | 0.684481i | \(-0.760029\pi\) |
−0.0315013 | + | 0.999504i | \(0.510029\pi\) | |||||||
\(588\) | −312.567 | − | 900.883i | −0.531576 | − | 1.53211i | ||||
\(589\) | −967.043 | − | 400.562i | −1.64184 | − | 0.680072i | ||||
\(590\) | 123.277 | − | 67.2871i | 0.208944 | − | 0.114046i | ||||
\(591\) | 608.194 | 1.02909 | ||||||||
\(592\) | 759.923 | + | 708.476i | 1.28365 | + | 1.19675i | ||||
\(593\) | 336.542 | 0.567524 | 0.283762 | − | 0.958895i | \(-0.408417\pi\) | ||||
0.283762 | + | 0.958895i | \(0.408417\pi\) | |||||||
\(594\) | −551.453 | + | 300.995i | −0.928373 | + | 0.506726i | ||||
\(595\) | −5.68018 | − | 21.6660i | −0.00954651 | − | 0.0364135i | ||||
\(596\) | 113.706 | − | 629.009i | 0.190782 | − | 1.05538i | ||||
\(597\) | 398.998 | + | 963.267i | 0.668339 | + | 1.61351i | ||||
\(598\) | −791.629 | + | 84.9732i | −1.32379 | + | 0.142096i | ||||
\(599\) | −372.989 | − | 372.989i | −0.622685 | − | 0.622685i | 0.323532 | − | 0.946217i | \(-0.395130\pi\) |
−0.946217 | + | 0.323532i | \(0.895130\pi\) | |||||||
\(600\) | 825.479 | + | 413.730i | 1.37580 | + | 0.689550i | ||||
\(601\) | −296.333 | − | 296.333i | −0.493067 | − | 0.493067i | 0.416204 | − | 0.909271i | \(-0.363360\pi\) |
−0.909271 | + | 0.416204i | \(0.863360\pi\) | |||||||
\(602\) | −24.8508 | + | 845.907i | −0.0412804 | + | 1.40516i | ||||
\(603\) | 668.671 | − | 276.973i | 1.10891 | − | 0.459324i | ||||
\(604\) | 100.843 | + | 464.324i | 0.166958 | + | 0.768748i | ||||
\(605\) | −9.07494 | − | 3.75896i | −0.0149999 | − | 0.00621316i | ||||
\(606\) | −284.404 | + | 967.986i | −0.469314 | + | 1.59734i | ||||
\(607\) | 780.189i | 1.28532i | 0.766152 | + | 0.642660i | \(0.222169\pi\) | ||||
−0.766152 | + | 0.642660i | \(0.777831\pi\) | |||||||
\(608\) | −904.565 | − | 231.693i | −1.48777 | − | 0.381074i | ||||
\(609\) | 14.9135 | − | 11.3161i | 0.0244885 | − | 0.0185814i | ||||
\(610\) | 33.7284 | − | 114.796i | 0.0552925 | − | 0.188191i | ||||
\(611\) | 16.5350 | − | 39.9191i | 0.0270622 | − | 0.0653340i | ||||
\(612\) | 35.2738 | + | 162.416i | 0.0576369 | + | 0.265386i | ||||
\(613\) | −294.471 | + | 121.974i | −0.480378 | + | 0.198979i | −0.609713 | − | 0.792622i | \(-0.708715\pi\) |
0.129336 | + | 0.991601i | \(0.458715\pi\) | |||||||
\(614\) | −96.2488 | + | 119.396i | −0.156757 | + | 0.194456i | ||||
\(615\) | 115.007 | + | 115.007i | 0.187004 | + | 0.187004i | ||||
\(616\) | −360.577 | + | 526.030i | −0.585353 | + | 0.853945i | ||||
\(617\) | 530.601 | + | 530.601i | 0.859969 | + | 0.859969i | 0.991334 | − | 0.131365i | \(-0.0419359\pi\) |
−0.131365 | + | 0.991334i | \(0.541936\pi\) | |||||||
\(618\) | 151.592 | + | 1412.27i | 0.245295 | + | 2.28522i | ||||
\(619\) | 500.936 | − | 207.494i | 0.809266 | − | 0.335209i | 0.0606051 | − | 0.998162i | \(-0.480697\pi\) |
0.748661 | + | 0.662953i | \(0.230697\pi\) | |||||||
\(620\) | 159.505 | + | 28.8337i | 0.257266 | + | 0.0465059i | ||||
\(621\) | −279.615 | + | 675.050i | −0.450266 | + | 1.08704i | ||||
\(622\) | 721.828 | − | 393.989i | 1.16050 | − | 0.633423i | ||||
\(623\) | 194.035 | + | 255.719i | 0.311453 | + | 0.410464i | ||||
\(624\) | 1095.77 | + | 409.549i | 1.75605 | + | 0.656328i | ||||
\(625\) | − | 530.916i | − | 0.849465i | ||||||
\(626\) | 231.944 | + | 424.944i | 0.370517 | + | 0.678825i | ||||
\(627\) | −1493.69 | − | 618.706i | −2.38228 | − | 0.986772i | ||||
\(628\) | −41.4831 | − | 59.7903i | −0.0660559 | − | 0.0952075i | ||||
\(629\) | 169.923 | − | 70.3844i | 0.270148 | − | 0.111899i | ||||
\(630\) | −168.799 | + | 159.165i | −0.267935 | + | 0.252642i | ||||
\(631\) | 350.392 | + | 350.392i | 0.555296 | + | 0.555296i | 0.927965 | − | 0.372669i | \(-0.121557\pi\) |
−0.372669 | + | 0.927965i | \(0.621557\pi\) | |||||||
\(632\) | −542.328 | + | 469.448i | −0.858114 | + | 0.742797i | ||||
\(633\) | −150.945 | − | 150.945i | −0.238460 | − | 0.238460i | ||||
\(634\) | 354.015 | − | 439.153i | 0.558383 | − | 0.692671i | ||||
\(635\) | −3.46103 | − | 8.35567i | −0.00545044 | − | 0.0131585i | ||||
\(636\) | −333.845 | + | 519.086i | −0.524913 | + | 0.816172i | ||||
\(637\) | −454.556 | + | 579.326i | −0.713589 | + | 0.909460i | ||||
\(638\) | −12.0127 | − | 3.52947i | −0.0188287 | − | 0.00553208i | ||||
\(639\) | 845.969 | 1.32389 | ||||||||
\(640\) | 144.500 | + | 5.33247i | 0.225782 | + | 0.00833199i | ||||
\(641\) | 605.808 | 0.945099 | 0.472550 | − | 0.881304i | \(-0.343334\pi\) | ||||
0.472550 | + | 0.881304i | \(0.343334\pi\) | |||||||
\(642\) | −372.308 | + | 1267.17i | −0.579919 | + | 1.97378i | ||||
\(643\) | 640.693 | + | 265.384i | 0.996412 | + | 0.412727i | 0.820480 | − | 0.571675i | \(-0.193706\pi\) |
0.175932 | + | 0.984402i | \(0.443706\pi\) | |||||||
\(644\) | 57.4706 | + | 739.486i | 0.0892401 | + | 1.14827i | ||||
\(645\) | 306.935 | − | 127.137i | 0.475868 | − | 0.197111i | ||||
\(646\) | −103.744 | + | 128.694i | −0.160594 | + | 0.199216i | ||||
\(647\) | 51.8672 | + | 51.8672i | 0.0801656 | + | 0.0801656i | 0.746053 | − | 0.665887i | \(-0.231947\pi\) |
−0.665887 | + | 0.746053i | \(0.731947\pi\) | |||||||
\(648\) | 13.1205 | − | 11.3573i | 0.0202477 | − | 0.0175267i | ||||
\(649\) | −500.574 | + | 500.574i | −0.771300 | + | 0.771300i | ||||
\(650\) | −76.1005 | − | 708.968i | −0.117078 | − | 1.09072i | ||||
\(651\) | 616.512 | − | 1054.64i | 0.947023 | − | 1.62003i | ||||
\(652\) | 494.130 | − | 342.833i | 0.757869 | − | 0.525817i | ||||
\(653\) | −838.149 | − | 347.173i | −1.28354 | − | 0.531658i | −0.366483 | − | 0.930425i | \(-0.619438\pi\) |
−0.917052 | + | 0.398767i | \(0.869438\pi\) | |||||||
\(654\) | −537.741 | − | 985.196i | −0.822234 | − | 1.50642i | ||||
\(655\) | 171.232i | 0.261423i | ||||||||
\(656\) | −443.525 | − | 165.769i | −0.676105 | − | 0.252696i | ||||
\(657\) | 1238.21 | 1.88464 | ||||||||
\(658\) | −36.7201 | − | 16.4894i | −0.0558057 | − | 0.0250599i | ||||
\(659\) | 335.066 | + | 138.789i | 0.508447 | + | 0.210606i | 0.622134 | − | 0.782911i | \(-0.286266\pi\) |
−0.113687 | + | 0.993517i | \(0.536266\pi\) | |||||||
\(660\) | 246.370 | + | 44.5363i | 0.373288 | + | 0.0674793i | ||||
\(661\) | 213.596 | − | 88.4744i | 0.323141 | − | 0.133849i | −0.215216 | − | 0.976567i | \(-0.569045\pi\) |
0.538356 | + | 0.842717i | \(0.319045\pi\) | |||||||
\(662\) | −11.7355 | − | 109.330i | −0.0177273 | − | 0.165151i | ||||
\(663\) | 146.434 | − | 146.434i | 0.220865 | − | 0.220865i | ||||
\(664\) | 459.435 | − | 152.655i | 0.691920 | − | 0.229903i | ||||
\(665\) | −228.609 | − | 31.3538i | −0.343774 | − | 0.0471485i | ||||
\(666\) | −1483.20 | − | 1195.65i | −2.22703 | − | 1.79527i | ||||
\(667\) | −13.4532 | + | 5.57249i | −0.0201697 | + | 0.00835456i | ||||
\(668\) | −38.9785 | − | 179.474i | −0.0583510 | − | 0.268674i | ||||
\(669\) | −70.3757 | + | 169.902i | −0.105195 | + | 0.253964i | ||||
\(670\) | −106.951 | − | 31.4234i | −0.159629 | − | 0.0469006i | ||||
\(671\) | 603.095i | 0.898800i | ||||||||
\(672\) | 411.346 | − | 1009.18i | 0.612123 | − | 1.50175i | ||||
\(673\) | −756.345 | −1.12384 | −0.561921 | − | 0.827191i | \(-0.689937\pi\) | ||||
−0.561921 | + | 0.827191i | \(0.689937\pi\) | |||||||
\(674\) | 18.1357 | − | 61.7259i | 0.0269076 | − | 0.0915815i | ||||
\(675\) | −604.563 | − | 250.418i | −0.895648 | − | 0.370990i | ||||
\(676\) | −48.2529 | − | 222.177i | −0.0713800 | − | 0.328665i | ||||
\(677\) | 241.253 | + | 582.435i | 0.356355 | + | 0.860318i | 0.995806 | + | 0.0914859i | \(0.0291617\pi\) |
−0.639451 | + | 0.768832i | \(0.720838\pi\) | |||||||
\(678\) | 786.684 | − | 975.877i | 1.16030 | − | 1.43935i | ||||
\(679\) | 27.9116 | − | 203.511i | 0.0411069 | − | 0.299722i | ||||
\(680\) | 11.4697 | − | 22.8845i | 0.0168672 | − | 0.0336537i | ||||
\(681\) | −1121.23 | − | 1121.23i | −1.64644 | − | 1.64644i | ||||
\(682\) | −812.356 | + | 87.1980i | −1.19114 | + | 0.127856i | ||||
\(683\) | 49.3785 | + | 119.210i | 0.0722964 | + | 0.174539i | 0.955897 | − | 0.293703i | \(-0.0948876\pi\) |
−0.883600 | + | 0.468242i | \(0.844888\pi\) | |||||||
\(684\) | 1684.93 | + | 304.585i | 2.46335 | + | 0.445299i | ||||
\(685\) | −93.8101 | + | 226.478i | −0.136949 | + | 0.330624i | ||||
\(686\) | 527.031 | + | 439.129i | 0.768267 | + | 0.640130i | ||||
\(687\) | 1192.50i | 1.73581i | ||||||||
\(688\) | −659.525 | + | 707.418i | −0.958612 | + | 1.02822i | ||||
\(689\) | 476.597 | 0.691723 | ||||||||
\(690\) | 255.585 | − | 139.503i | 0.370412 | − | 0.202179i | ||||
\(691\) | 395.554 | − | 954.952i | 0.572437 | − | 1.38198i | −0.327038 | − | 0.945011i | \(-0.606050\pi\) |
0.899474 | − | 0.436973i | \(-0.143950\pi\) | |||||||
\(692\) | 1076.13 | − | 746.630i | 1.55510 | − | 1.07894i | ||||
\(693\) | 590.177 | − | 1009.59i | 0.851627 | − | 1.45684i | ||||
\(694\) | −475.817 | + | 51.0741i | −0.685615 | + | 0.0735938i | ||||
\(695\) | 63.2244 | + | 63.2244i | 0.0909704 | + | 0.0909704i | ||||
\(696\) | 21.3398 | + | 1.53716i | 0.0306607 | + | 0.00220856i | ||||
\(697\) | −59.2704 | + | 59.2704i | −0.0850364 | + | 0.0850364i | ||||
\(698\) | −808.637 | − | 651.867i | −1.15851 | − | 0.933907i | ||||
\(699\) | −6.86554 | − | 16.5749i | −0.00982194 | − | 0.0237123i | ||||
\(700\) | −662.270 | + | 51.4696i | −0.946100 | + | 0.0735280i | ||||
\(701\) | −106.143 | + | 256.252i | −0.151416 | + | 0.365552i | −0.981328 | − | 0.192344i | \(-0.938391\pi\) |
0.829911 | + | 0.557896i | \(0.188391\pi\) | |||||||
\(702\) | −795.410 | − | 233.700i | −1.13306 | − | 0.332906i | ||||
\(703\) | − | 1894.80i | − | 2.69531i | ||||||
\(704\) | −706.399 | + | 179.533i | −1.00341 | + | 0.255018i | ||||
\(705\) | 15.8021i | 0.0224143i | ||||||||
\(706\) | −271.585 | + | 924.354i | −0.384681 | + | 1.30928i | ||||
\(707\) | −184.065 | − | 702.081i | −0.260346 | − | 0.993043i | ||||
\(708\) | 654.356 | − | 1017.44i | 0.924231 | − | 1.43706i | ||||
\(709\) | 494.664 | − | 204.896i | 0.697692 | − | 0.288994i | −0.00550856 | − | 0.999985i | \(-0.501753\pi\) |
0.703201 | + | 0.710991i | \(0.251753\pi\) | |||||||
\(710\) | −101.438 | − | 81.7723i | −0.142871 | − | 0.115172i | ||||
\(711\) | 930.045 | − | 930.045i | 1.30808 | − | 1.30808i | ||||
\(712\) | −26.3574 | + | 365.911i | −0.0370189 | + | 0.513920i | ||||
\(713\) | −671.903 | + | 671.903i | −0.942361 | + | 0.942361i | ||||
\(714\) | −132.352 | − | 140.364i | −0.185368 | − | 0.196588i | ||||
\(715\) | −73.9870 | − | 178.620i | −0.103478 | − | 0.249819i | ||||
\(716\) | −629.829 | − | 907.783i | −0.879650 | − | 1.26785i | ||||
\(717\) | 819.982 | − | 1979.61i | 1.14363 | − | 2.76096i | ||||
\(718\) | 1014.73 | − | 553.859i | 1.41327 | − | 0.771392i | ||||
\(719\) | −319.042 | −0.443730 | −0.221865 | − | 0.975077i | \(-0.571214\pi\) | ||||
−0.221865 | + | 0.975077i | \(0.571214\pi\) | |||||||
\(720\) | −264.987 | + | 9.28418i | −0.368037 | + | 0.0128947i | ||||
\(721\) | −617.663 | − | 814.018i | −0.856675 | − | 1.12901i | ||||
\(722\) | 469.983 | + | 861.056i | 0.650945 | + | 1.19260i | ||||
\(723\) | 1453.59 | + | 602.099i | 2.01050 | + | 0.832778i | ||||
\(724\) | −359.367 | − | 64.9627i | −0.496363 | − | 0.0897274i | ||||
\(725\) | −4.99062 | − | 12.0484i | −0.00688362 | − | 0.0166185i | ||||
\(726\) | −84.1223 | + | 9.02966i | −0.115871 | + | 0.0124376i | ||||
\(727\) | 215.811 | − | 215.811i | 0.296852 | − | 0.296852i | −0.542927 | − | 0.839780i | \(-0.682684\pi\) |
0.839780 | + | 0.542927i | \(0.182684\pi\) | |||||||
\(728\) | −827.283 | + | 154.382i | −1.13638 | + | 0.212063i | ||||
\(729\) | 831.510 | − | 831.510i | 1.14062 | − | 1.14062i | ||||
\(730\) | −148.471 | − | 119.687i | −0.203384 | − | 0.163954i | ||||
\(731\) | 65.5213 | + | 158.182i | 0.0896324 | + | 0.216392i | ||||
\(732\) | −218.723 | − | 1007.09i | −0.298801 | − | 1.37581i | ||||
\(733\) | 255.220 | + | 105.715i | 0.348185 | + | 0.144223i | 0.549920 | − | 0.835217i | \(-0.314658\pi\) |
−0.201735 | + | 0.979440i | \(0.564658\pi\) | |||||||
\(734\) | 775.203 | + | 227.763i | 1.05614 | + | 0.310304i | ||||
\(735\) | 72.5066 | − | 259.361i | 0.0986484 | − | 0.352872i | ||||
\(736\) | −508.568 | + | 678.168i | −0.690989 | + | 0.921425i | ||||
\(737\) | 561.879 | 0.762387 | ||||||||
\(738\) | 833.024 | + | 244.751i | 1.12876 | + | 0.331641i | ||||
\(739\) | 470.719 | − | 1136.42i | 0.636967 | − | 1.53778i | −0.193732 | − | 0.981054i | \(-0.562059\pi\) |
0.830700 | − | 0.556721i | \(-0.187941\pi\) | |||||||
\(740\) | 62.2737 | + | 286.736i | 0.0841537 | + | 0.387481i | ||||
\(741\) | −816.437 | − | 1971.05i | −1.10180 | − | 2.65999i | ||||
\(742\) | 13.0380 | − | 443.805i | 0.0175714 | − | 0.598121i | ||||
\(743\) | 619.184 | − | 619.184i | 0.833357 | − | 0.833357i | −0.154617 | − | 0.987974i | \(-0.549415\pi\) |
0.987974 | + | 0.154617i | \(0.0494145\pi\) | |||||||
\(744\) | 1324.91 | − | 440.225i | 1.78079 | − | 0.591700i | ||||
\(745\) | 127.649 | − | 127.649i | 0.171341 | − | 0.171341i | ||||
\(746\) | 76.3040 | + | 710.865i | 0.102284 | + | 0.952902i | ||||
\(747\) | −820.173 | + | 339.727i | −1.09796 | + | 0.454788i | ||||
\(748\) | −22.9523 | + | 126.970i | −0.0306849 | + | 0.169746i | ||||
\(749\) | −240.955 | − | 919.080i | −0.321702 | − | 1.22708i | ||||
\(750\) | 256.594 | + | 470.107i | 0.342126 | + | 0.626809i | ||||
\(751\) | 831.370i | 1.10702i | 0.832843 | + | 0.553509i | \(0.186711\pi\) | ||||
−0.832843 | + | 0.553509i | \(0.813289\pi\) | |||||||
\(752\) | −19.0819 | − | 41.8587i | −0.0253749 | − | 0.0556631i | ||||
\(753\) | 1540.35i | 2.04562i | ||||||||
\(754\) | −7.91564 | − | 14.5023i | −0.0104982 | − | 0.0192338i | ||||
\(755\) | −51.3527 | + | 123.976i | −0.0680168 | + | 0.164207i | ||||
\(756\) | −239.380 | + | 734.289i | −0.316640 | + | 0.971282i | ||||
\(757\) | 170.496 | + | 411.613i | 0.225225 | + | 0.543742i | 0.995585 | − | 0.0938680i | \(-0.0299232\pi\) |
−0.770359 | + | 0.637610i | \(0.779923\pi\) | |||||||
\(758\) | −899.656 | + | 96.5688i | −1.18688 | + | 0.127399i | ||||
\(759\) | −1037.82 | + | 1037.82i | −1.36735 | + | 1.36735i | ||||
\(760\) | −172.594 | − | 199.389i | −0.227098 | − | 0.262354i | ||||
\(761\) | −451.977 | − | 451.977i | −0.593926 | − | 0.593926i | 0.344764 | − | 0.938689i | \(-0.387959\pi\) |
−0.938689 | + | 0.344764i | \(0.887959\pi\) | |||||||
\(762\) | −60.6477 | − | 48.8900i | −0.0795902 | − | 0.0641601i | ||||
\(763\) | 697.089 | + | 407.499i | 0.913616 | + | 0.534075i | ||||
\(764\) | −59.5911 | − | 38.3254i | −0.0779988 | − | 0.0501641i | ||||
\(765\) | −17.9627 | + | 43.3657i | −0.0234806 | + | 0.0566872i | ||||
\(766\) | −175.699 | + | 598.002i | −0.229372 | + | 0.780682i | ||||
\(767\) | −934.159 | −1.21794 | ||||||||
\(768\) | 1114.49 | − | 555.985i | 1.45116 | − | 0.723939i | ||||
\(769\) | 1254.87i | 1.63182i | 0.578180 | + | 0.815909i | \(0.303763\pi\) | ||||
−0.578180 | + | 0.815909i | \(0.696237\pi\) | |||||||
\(770\) | −168.355 | + | 64.0100i | −0.218642 | + | 0.0831298i | ||||
\(771\) | −185.191 | + | 447.091i | −0.240196 | + | 0.579885i | ||||
\(772\) | 1061.08 | + | 682.422i | 1.37445 | + | 0.883966i | ||||
\(773\) | 107.949 | + | 260.613i | 0.139650 | + | 0.337145i | 0.978195 | − | 0.207687i | \(-0.0665936\pi\) |
−0.838545 | + | 0.544832i | \(0.816594\pi\) | |||||||
\(774\) | 1113.04 | − | 1380.72i | 1.43804 | − | 1.78388i | ||||
\(775\) | −601.744 | − | 601.744i | −0.776444 | − | 0.776444i | ||||
\(776\) | 177.499 | − | 153.646i | 0.228736 | − | 0.197997i | ||||
\(777\) | 2190.90 | + | 300.481i | 2.81968 | + | 0.386720i | ||||
\(778\) | −150.310 | + | 16.1342i | −0.193200 | + | 0.0207380i | ||||
\(779\) | 330.460 | + | 797.802i | 0.424211 | + | 1.02414i | ||||
\(780\) | 188.329 | + | 271.442i | 0.241447 | + | 0.348002i | ||||
\(781\) | 606.758 | + | 251.327i | 0.776899 | + | 0.321802i | ||||
\(782\) | 71.8947 | + | 131.718i | 0.0919370 | + | 0.168438i | ||||
\(783\) | −15.1625 | −0.0193646 | ||||||||
\(784\) | 121.129 | + | 774.586i | 0.154501 | + | 0.987993i | ||||
\(785\) | − | 20.5522i | − | 0.0261811i | ||||||
\(786\) | 706.614 | + | 1294.59i | 0.899000 | + | 1.64706i | ||||
\(787\) | 368.552 | − | 889.763i | 0.468300 | − | 1.13058i | −0.496605 | − | 0.867977i | \(-0.665420\pi\) |
0.964905 | − | 0.262599i | \(-0.0845797\pi\) | |||||||
\(788\) | −492.068 | − | 88.9510i | −0.624451 | − | 0.112882i | ||||
\(789\) | 94.2698 | − | 39.0478i | 0.119480 | − | 0.0494903i | ||||
\(790\) | −201.419 | + | 21.6202i | −0.254960 | + | 0.0273674i | ||||
\(791\) | −122.529 | + | 893.395i | −0.154904 | + | 1.12945i | ||||
\(792\) | 1268.32 | − | 421.420i | 1.60141 | − | 0.532096i | ||||
\(793\) | −562.741 | + | 562.741i | −0.709635 | + | 0.709635i | ||||
\(794\) | −250.770 | + | 311.079i | −0.315831 | + | 0.391787i | ||||
\(795\) | −161.034 | + | 66.7023i | −0.202558 | + | 0.0839022i | ||||
\(796\) | −181.933 | − | 837.700i | −0.228559 | − | 1.05239i | ||||
\(797\) | −936.533 | − | 387.925i | −1.17507 | − | 0.486731i | −0.292206 | − | 0.956355i | \(-0.594389\pi\) |
−0.882866 | + | 0.469624i | \(0.844389\pi\) | |||||||
\(798\) | −1857.77 | + | 706.342i | −2.32803 | + | 0.885140i | ||||
\(799\) | −8.14379 | −0.0101925 | ||||||||
\(800\) | −607.355 | − | 455.464i | −0.759194 | − | 0.569330i | ||||
\(801\) | − | 672.705i | − | 0.839832i | ||||||
\(802\) | 55.7452 | − | 189.732i | 0.0695077 | − | 0.236573i | ||||
\(803\) | 888.085 | + | 367.857i | 1.10596 | + | 0.458103i | ||||
\(804\) | −938.270 | + | 203.775i | −1.16700 | + | 0.253452i | ||||
\(805\) | −105.716 | + | 180.842i | −0.131324 | + | 0.224649i | ||||
\(806\) | −839.363 | − | 676.636i | −1.04139 | − | 0.839499i | ||||
\(807\) | 520.534 | − | 520.534i | 0.645024 | − | 0.645024i | ||||
\(808\) | 371.674 | − | 741.567i | 0.459992 | − | 0.917781i | ||||
\(809\) | −63.7189 | − | 63.7189i | −0.0787626 | − | 0.0787626i | 0.666628 | − | 0.745391i | \(-0.267737\pi\) |
−0.745391 | + | 0.666628i | \(0.767737\pi\) | |||||||
\(810\) | 4.87291 | − | 0.523056i | 0.00601593 | − | 0.000645749i | ||||
\(811\) | −1174.99 | + | 486.698i | −1.44882 | + | 0.600121i | −0.961919 | − | 0.273336i | \(-0.911873\pi\) |
−0.486901 | + | 0.873457i | \(0.661873\pi\) | |||||||
\(812\) | −13.7210 | + | 6.97428i | −0.0168978 | + | 0.00858902i | ||||
\(813\) | −801.903 | − | 332.159i | −0.986350 | − | 0.408560i | ||||
\(814\) | −708.588 | − | 1298.20i | −0.870501 | − | 1.59485i | ||||
\(815\) | 169.851 | 0.208406 | ||||||||
\(816\) | −7.72021 | − | 220.348i | −0.00946104 | − | 0.270035i | ||||
\(817\) | 1763.88 | 2.15898 | ||||||||
\(818\) | −370.469 | − | 678.737i | −0.452896 | − | 0.829751i | ||||
\(819\) | 1492.72 | − | 391.347i | 1.82262 | − | 0.477835i | ||||
\(820\) | −76.2280 | − | 109.869i | −0.0929609 | − | 0.133986i | ||||
\(821\) | 589.354 | + | 1422.83i | 0.717849 | + | 1.73304i | 0.679387 | + | 0.733780i | \(0.262246\pi\) |
0.0384611 | + | 0.999260i | \(0.487754\pi\) | |||||||
\(822\) | 225.348 | + | 2099.39i | 0.274146 | + | 2.55400i | ||||
\(823\) | 75.2366 | + | 75.2366i | 0.0914175 | + | 0.0914175i | 0.751337 | − | 0.659919i | \(-0.229409\pi\) |
−0.659919 | + | 0.751337i | \(0.729409\pi\) | |||||||
\(824\) | 83.9023 | − | 1164.79i | 0.101823 | − | 1.41357i | ||||
\(825\) | −929.451 | − | 929.451i | −1.12661 | − | 1.12661i | ||||
\(826\) | −25.5552 | + | 869.885i | −0.0309385 | + | 1.05313i | ||||
\(827\) | −130.546 | + | 54.0738i | −0.157854 | + | 0.0653854i | −0.460212 | − | 0.887809i | \(-0.652226\pi\) |
0.302357 | + | 0.953195i | \(0.402226\pi\) | |||||||
\(828\) | 840.801 | − | 1307.34i | 1.01546 | − | 1.57891i | ||||
\(829\) | −889.967 | − | 368.636i | −1.07354 | − | 0.444676i | −0.225303 | − | 0.974289i | \(-0.572337\pi\) |
−0.848240 | + | 0.529613i | \(0.822337\pi\) | |||||||
\(830\) | 131.183 | + | 38.5431i | 0.158052 | + | 0.0464374i | ||||
\(831\) | − | 655.526i | − | 0.788840i | ||||||
\(832\) | −826.652 | − | 491.613i | −0.993573 | − | 0.590881i | ||||
\(833\) | 133.665 | + | 37.3671i | 0.160462 | + | 0.0448585i | ||||
\(834\) | 738.908 | + | 217.099i | 0.885981 | + | 0.260311i | ||||
\(835\) | 19.8492 | − | 47.9203i | 0.0237715 | − | 0.0573896i | ||||
\(836\) | 1118.00 | + | 719.032i | 1.33732 | + | 0.860086i | ||||
\(837\) | −914.110 | + | 378.637i | −1.09213 | + | 0.452374i | ||||
\(838\) | −1010.73 | − | 814.784i | −1.20613 | − | 0.972296i | ||||
\(839\) | 393.895 | + | 393.895i | 0.469481 | + | 0.469481i | 0.901747 | − | 0.432265i | \(-0.142286\pi\) |
−0.432265 | + | 0.901747i | \(0.642286\pi\) | |||||||
\(840\) | 257.917 | − | 167.946i | 0.307045 | − | 0.199935i | ||||
\(841\) | 594.463 | + | 594.463i | 0.706853 | + | 0.706853i | ||||
\(842\) | 674.695 | − | 72.4215i | 0.801300 | − | 0.0860113i | ||||
\(843\) | −887.843 | + | 367.757i | −1.05319 | + | 0.436247i | ||||
\(844\) | 100.048 | + | 144.201i | 0.118540 | + | 0.170854i | ||||
\(845\) | 24.5721 | − | 59.3222i | 0.0290794 | − | 0.0702038i | ||||
\(846\) | 40.4145 | + | 74.0435i | 0.0477713 | + | 0.0875219i | ||||
\(847\) | 48.4873 | − | 36.7914i | 0.0572459 | − | 0.0434372i | ||||
\(848\) | 346.020 | − | 371.147i | 0.408043 | − | 0.437674i | ||||
\(849\) | − | 1806.72i | − | 2.12806i | ||||||
\(850\) | −117.965 | + | 64.3876i | −0.138782 | + | 0.0757501i | ||||
\(851\) | −1589.17 | − | 658.256i | −1.86741 | − | 0.773509i | ||||
\(852\) | −1104.36 | − | 199.635i | −1.29620 | − | 0.234313i | ||||
\(853\) | −74.4813 | + | 30.8512i | −0.0873169 | + | 0.0361678i | −0.425914 | − | 0.904763i | \(-0.640048\pi\) |
0.338597 | + | 0.940931i | \(0.390048\pi\) | |||||||
\(854\) | 508.627 | + | 539.417i | 0.595582 | + | 0.631635i | ||||
\(855\) | 341.935 | + | 341.935i | 0.399924 | + | 0.399924i | ||||
\(856\) | 486.550 | − | 970.770i | 0.568399 | − | 1.13408i | ||||
\(857\) | 349.629 | + | 349.629i | 0.407969 | + | 0.407969i | 0.881030 | − | 0.473061i | \(-0.156851\pi\) |
−0.473061 | + | 0.881030i | \(0.656851\pi\) | |||||||
\(858\) | −1296.48 | − | 1045.13i | −1.51104 | − | 1.21810i | ||||
\(859\) | −320.277 | − | 773.218i | −0.372849 | − | 0.900138i | −0.993265 | − | 0.115865i | \(-0.963036\pi\) |
0.620416 | − | 0.784273i | \(-0.286964\pi\) | |||||||
\(860\) | −266.924 | + | 57.9711i | −0.310377 | + | 0.0674082i | ||||
\(861\) | −974.877 | + | 255.583i | −1.13226 | + | 0.296845i | ||||
\(862\) | −155.873 | + | 530.521i | −0.180827 | + | 0.615453i | ||||
\(863\) | 1412.06 | 1.63622 | 0.818110 | − | 0.575062i | \(-0.195022\pi\) | ||||
0.818110 | + | 0.575062i | \(0.195022\pi\) | |||||||
\(864\) | −759.477 | + | 449.749i | −0.879025 | + | 0.520543i | ||||
\(865\) | 369.906 | 0.427637 | ||||||||
\(866\) | 91.1044 | + | 26.7674i | 0.105201 | + | 0.0309093i | ||||
\(867\) | 1262.94 | + | 523.125i | 1.45667 | + | 0.603374i | ||||
\(868\) | −653.043 | + | 763.101i | −0.752354 | + | 0.879149i | ||||
\(869\) | 943.366 | − | 390.755i | 1.08558 | − | 0.449660i | ||||
\(870\) | 4.70422 | + | 3.79221i | 0.00540715 | + | 0.00435887i | ||||
\(871\) | 524.283 | + | 524.283i | 0.601933 | + | 0.601933i | ||||
\(872\) | 290.978 | + | 875.733i | 0.333690 | + | 1.00428i | ||||
\(873\) | −304.395 | + | 304.395i | −0.348677 | + | 0.348677i | ||||
\(874\) | 1537.13 | − | 164.995i | 1.75873 | − | 0.188781i | ||||
\(875\) | −332.630 | − | 194.447i | −0.380149 | − | 0.222225i | ||||
\(876\) | −1616.40 | − | 292.197i | −1.84521 | − | 0.333558i | ||||
\(877\) | 101.838 | + | 42.1826i | 0.116121 | + | 0.0480987i | 0.439987 | − | 0.898004i | \(-0.354983\pi\) |
−0.323867 | + | 0.946103i | \(0.604983\pi\) | |||||||
\(878\) | −1181.14 | + | 644.693i | −1.34526 | + | 0.734274i | ||||
\(879\) | 2578.66i | 2.93363i | ||||||||
\(880\) | −192.816 | − | 72.0655i | −0.219109 | − | 0.0818926i | ||||
\(881\) | 555.288 | 0.630293 | 0.315147 | − | 0.949043i | \(-0.397946\pi\) | ||||
0.315147 | + | 0.949043i | \(0.397946\pi\) | |||||||
\(882\) | −323.585 | − | 1400.72i | −0.366877 | − | 1.58812i | ||||
\(883\) | −209.025 | − | 86.5809i | −0.236721 | − | 0.0980531i | 0.261169 | − | 0.965293i | \(-0.415892\pi\) |
−0.497891 | + | 0.867240i | \(0.665892\pi\) | |||||||
\(884\) | −139.891 | + | 97.0575i | −0.158247 | + | 0.109794i | ||||
\(885\) | 315.635 | − | 130.740i | 0.356650 | − | 0.147729i | ||||
\(886\) | 1021.01 | − | 109.595i | 1.15238 | − | 0.123696i | ||||
\(887\) | −4.70291 | + | 4.70291i | −0.00530204 | + | 0.00530204i | −0.709753 | − | 0.704451i | \(-0.751193\pi\) |
0.704451 | + | 0.709753i | \(0.251193\pi\) | |||||||
\(888\) | 1654.07 | + | 1910.86i | 1.86269 | + | 2.15187i | ||||
\(889\) | 55.5217 | + | 7.61480i | 0.0624541 | + | 0.00856558i | ||||
\(890\) | −65.0245 | + | 80.6625i | −0.0730612 | + | 0.0906320i | ||||
\(891\) | −22.8228 | + | 9.45350i | −0.0256148 | + | 0.0106100i | ||||
\(892\) | 81.7873 | − | 127.169i | 0.0916898 | − | 0.142566i | ||||
\(893\) | −32.1065 | + | 77.5120i | −0.0359536 | + | 0.0867996i | ||||
\(894\) | 438.320 | − | 1491.85i | 0.490291 | − | 1.66873i | ||||
\(895\) | − | 312.039i | − | 0.348647i | ||||||
\(896\) | −480.402 | + | 756.327i | −0.536163 | + | 0.844115i | ||||
\(897\) | −1936.75 | −2.15914 | ||||||||
\(898\) | −1179.80 | − | 346.639i | −1.31381 | − | 0.386012i | ||||
\(899\) | −18.2174 | − | 7.54591i | −0.0202641 | − | 0.00839368i | ||||
\(900\) | 1170.83 | + | 753.006i | 1.30092 | + | 0.836673i | ||||
\(901\) | −34.3758 | − | 82.9905i | −0.0381529 | − | 0.0921093i | ||||
\(902\) | 524.761 | + | 423.026i | 0.581775 | + | 0.468986i | ||||
\(903\) | −279.720 | + | 2039.52i | −0.309767 | + | 2.25860i | ||||
\(904\) | −779.204 | + | 674.491i | −0.861951 | + | 0.746118i | ||||
\(905\) | −72.9289 | − | 72.9289i | −0.0805844 | − | 0.0805844i | ||||
\(906\) | 123.358 | + | 1149.23i | 0.136157 | + | 1.26846i | ||||
\(907\) | 125.767 | + | 303.628i | 0.138662 | + | 0.334761i | 0.977922 | − | 0.208970i | \(-0.0670112\pi\) |
−0.839260 | + | 0.543731i | \(0.817011\pi\) | |||||||
\(908\) | 743.161 | + | 1071.13i | 0.818459 | + | 1.17966i | ||||
\(909\) | −582.076 | + | 1405.26i | −0.640348 | + | 1.54594i | ||||
\(910\) | −216.817 | − | 97.3628i | −0.238260 | − | 0.106992i | ||||
\(911\) | − | 937.979i | − | 1.02961i | −0.857306 | − | 0.514807i | \(-0.827863\pi\) | ||
0.857306 | − | 0.514807i | \(-0.172137\pi\) | |||||||
\(912\) | −2127.70 | − | 795.233i | −2.33300 | − | 0.871966i | ||||
\(913\) | −689.185 | −0.754858 | ||||||||
\(914\) | −139.778 | − | 256.087i | −0.152930 | − | 0.280183i | ||||
\(915\) | 111.381 | − | 268.898i | 0.121728 | − | 0.293878i | ||||
\(916\) | 174.409 | − | 964.812i | 0.190403 | − | 1.05329i | ||||
\(917\) | −916.004 | − | 535.471i | −0.998913 | − | 0.583937i | ||||
\(918\) | 16.6765 | + | 155.362i | 0.0181661 | + | 0.169240i | ||||
\(919\) | −642.060 | − | 642.060i | −0.698650 | − | 0.698650i | 0.265469 | − | 0.964119i | \(-0.414473\pi\) |
−0.964119 | + | 0.265469i | \(0.914473\pi\) | |||||||
\(920\) | −227.187 | + | 75.4869i | −0.246943 | + | 0.0820510i | ||||
\(921\) | −263.792 | + | 263.792i | −0.286419 | + | 0.286419i | ||||
\(922\) | −59.4613 | + | 73.7614i | −0.0644917 | + | 0.0800015i | ||||
\(923\) | 331.648 | + | 800.670i | 0.359316 | + | 0.867465i | ||||
\(924\) | −1008.69 | + | 1178.68i | −1.09165 | + | 1.27563i | ||||
\(925\) | 589.522 | − | 1423.23i | 0.637321 | − | 1.53863i | ||||
\(926\) | 28.7873 | − | 97.9790i | 0.0310878 | − | 0.105809i | ||||
\(927\) | 2141.39i | 2.31002i | ||||||||
\(928\) | −17.0405 | − | 4.36470i | −0.0183626 | − | 0.00470334i | ||||
\(929\) | − | 962.450i | − | 1.03601i | −0.855379 | − | 0.518003i | \(-0.826675\pi\) | ||
0.855379 | − | 0.518003i | \(-0.173325\pi\) | |||||||
\(930\) | 378.304 | + | 111.150i | 0.406779 | + | 0.119516i | ||||
\(931\) | 882.625 | − | 1124.89i | 0.948040 | − | 1.20826i | ||||
\(932\) | 3.13051 | + | 14.4142i | 0.00335892 | + | 0.0154659i | ||||
\(933\) | 1848.15 | − | 765.530i | 1.98087 | − | 0.820504i | ||||
\(934\) | 825.937 | − | 1024.57i | 0.884301 | − | 1.09697i | ||||
\(935\) | −25.7669 | + | 25.7669i | −0.0275582 | + | 0.0275582i | ||||
\(936\) | 1576.67 | + | 790.229i | 1.68448 | + | 0.844262i | ||||
\(937\) | −578.554 | + | 578.554i | −0.617454 | + | 0.617454i | −0.944878 | − | 0.327424i | \(-0.893820\pi\) |
0.327424 | + | 0.944878i | \(0.393820\pi\) | |||||||
\(938\) | 502.553 | − | 473.868i | 0.535771 | − | 0.505190i | ||||
\(939\) | 450.672 | + | 1088.02i | 0.479949 | + | 1.15870i | ||||
\(940\) | 2.31112 | − | 12.7849i | 0.00245864 | − | 0.0136010i | ||||
\(941\) | −310.430 | + | 749.444i | −0.329894 | + | 0.796433i | 0.668706 | + | 0.743527i | \(0.266849\pi\) |
−0.998599 | + | 0.0529065i | \(0.983151\pi\) | |||||||
\(942\) | −84.8114 | − | 155.383i | −0.0900333 | − | 0.164950i | ||||
\(943\) | 783.919 | 0.831303 | ||||||||
\(944\) | −678.220 | + | 727.471i | −0.718454 | + | 0.770626i | ||||
\(945\) | −173.760 | + | 131.846i | −0.183873 | + | 0.139520i | ||||
\(946\) | 1208.51 | − | 659.629i | 1.27749 | − | 0.697282i | ||||
\(947\) | −1741.49 | − | 721.348i | −1.83895 | − | 0.761719i | −0.956793 | − | 0.290769i | \(-0.906089\pi\) |
−0.882160 | − | 0.470951i | \(-0.843911\pi\) | |||||||
\(948\) | −1433.59 | + | 994.641i | −1.51223 | + | 1.04920i | ||||
\(949\) | 485.419 | + | 1171.91i | 0.511506 | + | 1.23488i | ||||
\(950\) | 147.767 | + | 1376.62i | 0.155544 | + | 1.44908i | ||||
\(951\) | 970.259 | − | 970.259i | 1.02025 | − | 1.02025i | ||||
\(952\) | 86.5527 | + | 132.921i | 0.0909167 | + | 0.139623i | ||||
\(953\) | −106.998 | + | 106.998i | −0.112275 | + | 0.112275i | −0.761012 | − | 0.648737i | \(-0.775297\pi\) |
0.648737 | + | 0.761012i | \(0.275297\pi\) | |||||||
\(954\) | −583.958 | + | 724.396i | −0.612115 | + | 0.759325i | ||||
\(955\) | −7.65743 | − | 18.4867i | −0.00801825 | − | 0.0193578i | ||||
\(956\) | −952.944 | + | 1481.71i | −0.996804 | + | 1.54990i | ||||
\(957\) | −28.1386 | − | 11.6554i | −0.0294029 | − | 0.0121791i | ||||
\(958\) | −411.431 | + | 1400.33i | −0.429469 | + | 1.46172i | ||||
\(959\) | −918.179 | − | 1210.07i | −0.957434 | − | 1.26180i | ||||
\(960\) | 348.115 | + | 50.4126i | 0.362619 | + | 0.0525132i | ||||
\(961\) | −325.720 | −0.338939 | ||||||||
\(962\) | 550.165 | − | 1872.51i | 0.571897 | − | 1.94648i | ||||
\(963\) | −761.983 | + | 1839.59i | −0.791260 | + | 1.91027i | ||||
\(964\) | −1087.99 | − | 699.731i | −1.12862 | − | 0.725862i | ||||
\(965\) | 136.348 | + | 329.174i | 0.141293 | + | 0.341112i | ||||
\(966\) | −52.9825 | + | 1803.50i | −0.0548473 | + | 1.86697i | ||||
\(967\) | −71.6887 | + | 71.6887i | −0.0741351 | + | 0.0741351i | −0.743202 | − | 0.669067i | \(-0.766694\pi\) |
0.669067 | + | 0.743202i | \(0.266694\pi\) | |||||||
\(968\) | 69.3809 | + | 4.99767i | 0.0716745 | + | 0.00516289i | ||||
\(969\) | −284.334 | + | 284.334i | −0.293431 | + | 0.293431i | ||||
\(970\) | 65.9225 | − | 7.07611i | 0.0679614 | − | 0.00729495i | ||||
\(971\) | 715.703 | − | 296.454i | 0.737078 | − | 0.305308i | 0.0176211 | − | 0.999845i | \(-0.494391\pi\) |
0.719457 | + | 0.694537i | \(0.244391\pi\) | |||||||
\(972\) | −781.169 | + | 541.983i | −0.803672 | + | 0.557596i | ||||
\(973\) | −535.931 | + | 140.505i | −0.550803 | + | 0.144404i | ||||
\(974\) | −474.307 | + | 258.887i | −0.486968 | + | 0.265798i | ||||
\(975\) | − | 1734.52i | − | 1.77899i | ||||||
\(976\) | 29.6686 | + | 846.793i | 0.0303982 | + | 0.867616i | ||||
\(977\) | − | 512.506i | − | 0.524571i | −0.964990 | − | 0.262285i | \(-0.915524\pi\) | ||
0.964990 | − | 0.262285i | \(-0.0844762\pi\) | |||||||
\(978\) | 1284.15 | − | 700.914i | 1.31303 | − | 0.716681i | ||||
\(979\) | 199.853 | − | 482.488i | 0.204140 | − | 0.492837i | ||||
\(980\) | −96.5952 | + | 199.235i | −0.0985665 | + | 0.203301i | ||||
\(981\) | −647.556 | − | 1563.34i | −0.660098 | − | 1.59362i | ||||
\(982\) | −3.59717 | − | 33.5120i | −0.00366310 | − | 0.0341263i | ||||
\(983\) | 377.389 | − | 377.389i | 0.383916 | − | 0.383916i | −0.488595 | − | 0.872511i | \(-0.662490\pi\) |
0.872511 | + | 0.488595i | \(0.162490\pi\) | |||||||
\(984\) | −1029.70 | − | 516.088i | −1.04645 | − | 0.524480i | ||||
\(985\) | −99.8589 | − | 99.8589i | −0.101380 | − | 0.101380i | ||||
\(986\) | −1.95436 | + | 2.42437i | −0.00198211 | + | 0.00245880i | ||||
\(987\) | −84.5330 | − | 49.4157i | −0.0856464 | − | 0.0500666i | ||||
\(988\) | 372.274 | + | 1714.11i | 0.376796 | + | 1.73493i | ||||
\(989\) | 612.775 | − | 1479.37i | 0.619590 | − | 1.49582i | ||||
\(990\) | 362.145 | + | 106.402i | 0.365803 | + | 0.107477i | ||||
\(991\) | −538.844 | −0.543738 | −0.271869 | − | 0.962334i | \(-0.587642\pi\) | ||||
−0.271869 | + | 0.962334i | \(0.587642\pi\) | |||||||
\(992\) | −1136.32 | + | 162.396i | −1.14549 | + | 0.163706i | ||||
\(993\) | − | 267.481i | − | 0.269367i | ||||||
\(994\) | 754.653 | − | 286.926i | 0.759208 | − | 0.288658i | ||||
\(995\) | 92.6468 | − | 223.669i | 0.0931124 | − | 0.224793i | ||||
\(996\) | 1150.86 | − | 249.945i | 1.15548 | − | 0.250949i | ||||
\(997\) | 613.268 | + | 1480.56i | 0.615114 | + | 1.48502i | 0.857316 | + | 0.514790i | \(0.172130\pi\) |
−0.242202 | + | 0.970226i | \(0.577870\pi\) | |||||||
\(998\) | 1494.10 | + | 1204.44i | 1.49710 | + | 1.20685i | ||||
\(999\) | −1266.49 | − | 1266.49i | −1.26776 | − | 1.26776i |
(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 | 224.3.v.b.13.3 | ✓ | 240 | |
7.6 | odd | 2 | inner | 224.3.v.b.13.4 | yes | 240 | |
32.5 | even | 8 | inner | 224.3.v.b.69.4 | yes | 240 | |
224.69 | odd | 8 | inner | 224.3.v.b.69.3 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.3.v.b.13.3 | ✓ | 240 | 1.1 | even | 1 | trivial | |
224.3.v.b.13.4 | yes | 240 | 7.6 | odd | 2 | inner | |
224.3.v.b.69.3 | yes | 240 | 224.69 | odd | 8 | inner | |
224.3.v.b.69.4 | yes | 240 | 32.5 | even | 8 | inner |