Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [320,2,Mod(29,320)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(320, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 11, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("320.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 320 = 2^{6} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 320.bf (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.55521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 29.31 | ||
Character | \(\chi\) | \(=\) | 320.29 |
Dual form | 320.2.bf.a.309.31 |
$q$-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 \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(257\) | \(261\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{11}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.635601 | − | 1.26333i | 0.449438 | − | 0.893312i | ||||
\(3\) | −0.627776 | + | 3.15604i | −0.362447 | + | 1.82214i | 0.181942 | + | 0.983309i | \(0.441762\pi\) |
−0.544388 | + | 0.838833i | \(0.683238\pi\) | |||||||
\(4\) | −1.19202 | − | 1.60595i | −0.596011 | − | 0.802976i | ||||
\(5\) | 2.05825 | + | 0.873852i | 0.920476 | + | 0.390799i | ||||
\(6\) | 3.58812 | + | 2.79908i | 1.46484 | + | 1.14272i | ||||
\(7\) | 0.393699 | + | 0.950472i | 0.148804 | + | 0.359245i | 0.980652 | − | 0.195759i | \(-0.0627169\pi\) |
−0.831848 | + | 0.555003i | \(0.812717\pi\) | |||||||
\(8\) | −2.78650 | + | 0.485175i | −0.985178 | + | 0.171535i | ||||
\(9\) | −6.79487 | − | 2.81453i | −2.26496 | − | 0.938176i | ||||
\(10\) | 2.41219 | − | 2.04483i | 0.762802 | − | 0.646632i | ||||
\(11\) | 0.793485 | + | 3.98912i | 0.239245 | + | 1.20276i | 0.894399 | + | 0.447269i | \(0.147603\pi\) |
−0.655155 | + | 0.755495i | \(0.727397\pi\) | |||||||
\(12\) | 5.81678 | − | 2.75389i | 1.67916 | − | 0.794981i | ||||
\(13\) | 3.25630 | − | 2.17579i | 0.903134 | − | 0.603455i | −0.0149292 | − | 0.999889i | \(-0.504752\pi\) |
0.918063 | + | 0.396434i | \(0.129752\pi\) | |||||||
\(14\) | 1.45100 | + | 0.106749i | 0.387796 | + | 0.0285299i | ||||
\(15\) | −4.05003 | + | 5.94733i | −1.04571 | + | 1.53560i | ||||
\(16\) | −1.15817 | + | 3.82866i | −0.289542 | + | 0.957165i | ||||
\(17\) | −4.57231 | + | 4.57231i | −1.10895 | + | 1.10895i | −0.115659 | + | 0.993289i | \(0.536898\pi\) |
−0.993289 | + | 0.115659i | \(0.963102\pi\) | |||||||
\(18\) | −7.87451 | + | 6.79527i | −1.85604 | + | 1.60166i | ||||
\(19\) | −1.03313 | + | 0.690319i | −0.237017 | + | 0.158370i | −0.668407 | − | 0.743796i | \(-0.733023\pi\) |
0.431389 | + | 0.902166i | \(0.358023\pi\) | |||||||
\(20\) | −1.05011 | − | 4.34710i | −0.234812 | − | 0.972041i | ||||
\(21\) | −3.24689 | + | 0.645846i | −0.708529 | + | 0.140935i | ||||
\(22\) | 5.54393 | + | 1.53305i | 1.18197 | + | 0.326848i | ||||
\(23\) | 4.62250 | + | 1.91470i | 0.963858 | + | 0.399243i | 0.808422 | − | 0.588603i | \(-0.200322\pi\) |
0.155436 | + | 0.987846i | \(0.450322\pi\) | |||||||
\(24\) | 0.218066 | − | 9.09891i | 0.0445125 | − | 1.85731i | ||||
\(25\) | 3.47276 | + | 3.59721i | 0.694553 | + | 0.719442i | ||||
\(26\) | −0.679039 | − | 5.49672i | −0.133170 | − | 1.07800i | ||||
\(27\) | 7.78516 | − | 11.6513i | 1.49826 | − | 2.24230i | ||||
\(28\) | 1.05712 | − | 1.76525i | 0.199776 | − | 0.333600i | ||||
\(29\) | 1.04038 | − | 5.23033i | 0.193193 | − | 0.971248i | −0.755524 | − | 0.655121i | \(-0.772618\pi\) |
0.948717 | − | 0.316127i | \(-0.102382\pi\) | |||||||
\(30\) | 4.93926 | + | 8.89668i | 0.901781 | + | 1.62430i | ||||
\(31\) | − | 5.14150i | − | 0.923440i | −0.887026 | − | 0.461720i | \(-0.847232\pi\) | ||
0.887026 | − | 0.461720i | \(-0.152768\pi\) | |||||||
\(32\) | 4.10074 | + | 3.89665i | 0.724916 | + | 0.688838i | ||||
\(33\) | −13.0880 | −2.27832 | ||||||||
\(34\) | 2.87018 | + | 8.68251i | 0.492232 | + | 1.48904i | ||||
\(35\) | −0.0202435 | + | 2.30034i | −0.00342177 | + | 0.388829i | ||||
\(36\) | 3.57964 | + | 14.2672i | 0.596606 | + | 2.37787i | ||||
\(37\) | 0.223761 | − | 0.334881i | 0.0367860 | − | 0.0550541i | −0.812621 | − | 0.582793i | \(-0.801960\pi\) |
0.849407 | + | 0.527739i | \(0.176960\pi\) | |||||||
\(38\) | 0.215441 | + | 1.74396i | 0.0349491 | + | 0.282908i | ||||
\(39\) | 4.82266 | + | 11.6429i | 0.772243 | + | 1.86436i | ||||
\(40\) | −6.15929 | − | 1.43638i | −0.973869 | − | 0.227112i | ||||
\(41\) | 3.90431 | − | 9.42585i | 0.609751 | − | 1.47207i | −0.253520 | − | 0.967330i | \(-0.581588\pi\) |
0.863271 | − | 0.504740i | \(-0.168412\pi\) | |||||||
\(42\) | −1.24781 | + | 4.51240i | −0.192541 | + | 0.696279i | ||||
\(43\) | 0.307542 | + | 1.54612i | 0.0468997 | + | 0.235781i | 0.997124 | − | 0.0757855i | \(-0.0241464\pi\) |
−0.950224 | + | 0.311566i | \(0.899146\pi\) | |||||||
\(44\) | 5.46048 | − | 6.02941i | 0.823199 | − | 0.908968i | ||||
\(45\) | −11.5260 | − | 11.7307i | −1.71820 | − | 1.74871i | ||||
\(46\) | 5.35698 | − | 4.62277i | 0.789843 | − | 0.681591i | ||||
\(47\) | −2.52100 | + | 2.52100i | −0.367726 | + | 0.367726i | −0.866647 | − | 0.498921i | \(-0.833730\pi\) |
0.498921 | + | 0.866647i | \(0.333730\pi\) | |||||||
\(48\) | −11.3564 | − | 6.05877i | −1.63915 | − | 0.874508i | ||||
\(49\) | 4.20135 | − | 4.20135i | 0.600193 | − | 0.600193i | ||||
\(50\) | 6.75177 | − | 2.10087i | 0.954844 | − | 0.297108i | ||||
\(51\) | −11.5600 | − | 17.3008i | −1.61873 | − | 2.42260i | ||||
\(52\) | −7.37579 | − | 2.63587i | −1.02284 | − | 0.365530i | ||||
\(53\) | 3.10360 | − | 0.617345i | 0.426313 | − | 0.0847989i | 0.0227292 | − | 0.999742i | \(-0.492764\pi\) |
0.403584 | + | 0.914943i | \(0.367764\pi\) | |||||||
\(54\) | −9.77124 | − | 17.2408i | −1.32970 | − | 2.34618i | ||||
\(55\) | −1.85271 | + | 8.90398i | −0.249820 | + | 1.20061i | ||||
\(56\) | −1.55819 | − | 2.45748i | −0.208222 | − | 0.328395i | ||||
\(57\) | −1.53010 | − | 3.69398i | −0.202666 | − | 0.489280i | ||||
\(58\) | −5.94638 | − | 4.63875i | −0.780798 | − | 0.609097i | ||||
\(59\) | 3.05934 | − | 4.57863i | 0.398292 | − | 0.596086i | −0.577070 | − | 0.816694i | \(-0.695804\pi\) |
0.975363 | + | 0.220608i | \(0.0708042\pi\) | |||||||
\(60\) | 14.3789 | − | 0.585190i | 1.85630 | − | 0.0755478i | ||||
\(61\) | −6.06417 | − | 1.20624i | −0.776437 | − | 0.154443i | −0.209062 | − | 0.977902i | \(-0.567041\pi\) |
−0.567375 | + | 0.823459i | \(0.692041\pi\) | |||||||
\(62\) | −6.49543 | − | 3.26794i | −0.824920 | − | 0.415029i | ||||
\(63\) | − | 7.56641i | − | 0.953278i | ||||||
\(64\) | 7.52921 | − | 2.70389i | 0.941151 | − | 0.337986i | ||||
\(65\) | 8.60358 | − | 1.63279i | 1.06714 | − | 0.202522i | ||||
\(66\) | −8.31872 | + | 16.5345i | −1.02396 | + | 2.03525i | ||||
\(67\) | 2.49317 | − | 12.5340i | 0.304589 | − | 1.53127i | −0.460681 | − | 0.887566i | \(-0.652395\pi\) |
0.765270 | − | 0.643709i | \(-0.222605\pi\) | |||||||
\(68\) | 12.7932 | + | 1.89262i | 1.55140 | + | 0.229514i | ||||
\(69\) | −8.94478 | + | 13.3868i | −1.07683 | + | 1.61158i | ||||
\(70\) | 2.89323 | + | 1.48767i | 0.345807 | + | 0.177811i | ||||
\(71\) | −1.29576 | + | 0.536722i | −0.153778 | + | 0.0636971i | −0.458245 | − | 0.888826i | \(-0.651522\pi\) |
0.304467 | + | 0.952523i | \(0.401522\pi\) | |||||||
\(72\) | 20.2995 | + | 4.54599i | 2.39232 | + | 0.535750i | ||||
\(73\) | −1.82998 | + | 4.41796i | −0.214183 | + | 0.517084i | −0.994058 | − | 0.108852i | \(-0.965283\pi\) |
0.779875 | + | 0.625935i | \(0.215283\pi\) | |||||||
\(74\) | −0.280844 | − | 0.495535i | −0.0326475 | − | 0.0576048i | ||||
\(75\) | −13.5331 | + | 8.70195i | −1.56266 | + | 1.00482i | ||||
\(76\) | 2.34014 | + | 0.836291i | 0.268432 | + | 0.0959291i | ||||
\(77\) | −3.47915 | + | 2.32470i | −0.396486 | + | 0.264924i | ||||
\(78\) | 17.7742 | + | 1.30763i | 2.01253 | + | 0.148060i | ||||
\(79\) | −5.76567 | + | 5.76567i | −0.648688 | + | 0.648688i | −0.952676 | − | 0.303988i | \(-0.901682\pi\) |
0.303988 | + | 0.952676i | \(0.401682\pi\) | |||||||
\(80\) | −5.72948 | + | 6.86827i | −0.640575 | + | 0.767895i | ||||
\(81\) | 16.2830 | + | 16.2830i | 1.80923 | + | 1.80923i | ||||
\(82\) | −9.42640 | − | 10.9235i | −1.04097 | − | 1.20630i | ||||
\(83\) | 1.79437 | + | 2.68547i | 0.196958 | + | 0.294768i | 0.916782 | − | 0.399388i | \(-0.130778\pi\) |
−0.719824 | + | 0.694157i | \(0.755778\pi\) | |||||||
\(84\) | 4.90756 | + | 4.44448i | 0.535458 | + | 0.484933i | ||||
\(85\) | −13.4065 | + | 5.41542i | −1.45414 | + | 0.587385i | ||||
\(86\) | 2.14874 | + | 0.594186i | 0.231704 | + | 0.0640728i | ||||
\(87\) | 15.8540 | + | 6.56695i | 1.69973 | + | 0.704051i | ||||
\(88\) | −4.14647 | − | 10.7307i | −0.442015 | − | 1.14390i | ||||
\(89\) | −1.53580 | − | 3.70775i | −0.162794 | − | 0.393020i | 0.821342 | − | 0.570437i | \(-0.193226\pi\) |
−0.984136 | + | 0.177416i | \(0.943226\pi\) | |||||||
\(90\) | −22.1458 | + | 7.10518i | −2.33437 | + | 0.748952i | ||||
\(91\) | 3.35003 | + | 2.23842i | 0.351178 | + | 0.234650i | ||||
\(92\) | −2.43520 | − | 9.70589i | −0.253887 | − | 1.01191i | ||||
\(93\) | 16.2268 | + | 3.22771i | 1.68264 | + | 0.334698i | ||||
\(94\) | 1.58251 | + | 4.78722i | 0.163224 | + | 0.493764i | ||||
\(95\) | −2.72968 | + | 0.518039i | −0.280060 | + | 0.0531497i | ||||
\(96\) | −14.8724 | + | 10.4959i | −1.51790 | + | 1.07123i | ||||
\(97\) | 1.37500 | 0.139610 | 0.0698049 | − | 0.997561i | \(-0.477762\pi\) | ||||
0.0698049 | + | 0.997561i | \(0.477762\pi\) | |||||||
\(98\) | −2.63732 | − | 7.97809i | −0.266410 | − | 0.805908i | ||||
\(99\) | 5.83585 | − | 29.3388i | 0.586525 | − | 2.94866i | ||||
\(100\) | 1.63733 | − | 9.86505i | 0.163733 | − | 0.986505i | ||||
\(101\) | 11.3497 | + | 7.58365i | 1.12934 | + | 0.754602i | 0.972472 | − | 0.233018i | \(-0.0748601\pi\) |
0.156869 | + | 0.987619i | \(0.449860\pi\) | |||||||
\(102\) | −29.2042 | + | 3.60775i | −2.89165 | + | 0.357221i | ||||
\(103\) | 1.64106 | − | 0.679751i | 0.161699 | − | 0.0669779i | −0.300366 | − | 0.953824i | \(-0.597109\pi\) |
0.462065 | + | 0.886846i | \(0.347109\pi\) | |||||||
\(104\) | −8.01804 | + | 7.64272i | −0.786234 | + | 0.749430i | ||||
\(105\) | −7.24727 | − | 1.50799i | −0.707261 | − | 0.147165i | ||||
\(106\) | 1.19274 | − | 4.31327i | 0.115849 | − | 0.418942i | ||||
\(107\) | 0.448675 | + | 2.25564i | 0.0433750 | + | 0.218061i | 0.996394 | − | 0.0848506i | \(-0.0270413\pi\) |
−0.953019 | + | 0.302912i | \(0.902041\pi\) | |||||||
\(108\) | −27.9916 | + | 1.38603i | −2.69349 | + | 0.133370i | ||||
\(109\) | 5.46903 | − | 3.65429i | 0.523838 | − | 0.350017i | −0.265367 | − | 0.964148i | \(-0.585493\pi\) |
0.789205 | + | 0.614130i | \(0.210493\pi\) | |||||||
\(110\) | 10.0711 | + | 7.99997i | 0.960242 | + | 0.762768i | ||||
\(111\) | 0.916428 | + | 0.916428i | 0.0869835 | + | 0.0869835i | ||||
\(112\) | −4.09501 | + | 0.406532i | −0.386942 | + | 0.0384137i | ||||
\(113\) | −0.847797 | − | 0.847797i | −0.0797540 | − | 0.0797540i | 0.666104 | − | 0.745858i | \(-0.267960\pi\) |
−0.745858 | + | 0.666104i | \(0.767960\pi\) | |||||||
\(114\) | −5.63927 | − | 0.414877i | −0.528166 | − | 0.0388568i | ||||
\(115\) | 7.84109 | + | 7.98032i | 0.731185 | + | 0.744168i | ||||
\(116\) | −9.63981 | + | 4.56387i | −0.895034 | + | 0.423745i | ||||
\(117\) | −28.2499 | + | 5.61926i | −2.61171 | + | 0.519501i | ||||
\(118\) | −3.83981 | − | 6.77515i | −0.353483 | − | 0.623703i | ||||
\(119\) | −6.14596 | − | 2.54574i | −0.563400 | − | 0.233368i | ||||
\(120\) | 8.39994 | − | 18.5372i | 0.766806 | − | 1.69221i | ||||
\(121\) | −5.12077 | + | 2.12109i | −0.465524 | + | 0.192826i | ||||
\(122\) | −5.37827 | + | 6.89438i | −0.486926 | + | 0.624188i | ||||
\(123\) | 27.2974 | + | 18.2395i | 2.46132 | + | 1.64460i | ||||
\(124\) | −8.25700 | + | 6.12878i | −0.741501 | + | 0.550381i | ||||
\(125\) | 4.00438 | + | 10.4386i | 0.358163 | + | 0.933659i | ||||
\(126\) | −9.55890 | − | 4.80922i | −0.851574 | − | 0.428439i | ||||
\(127\) | − | 9.33033i | − | 0.827933i | −0.910292 | − | 0.413967i | \(-0.864143\pi\) | ||
0.910292 | − | 0.413967i | \(-0.135857\pi\) | |||||||
\(128\) | 1.36967 | − | 11.2305i | 0.121062 | − | 0.992645i | ||||
\(129\) | −5.07268 | −0.446625 | ||||||||
\(130\) | 3.40569 | − | 11.9070i | 0.298699 | − | 1.04431i | ||||
\(131\) | −1.01036 | − | 0.200973i | −0.0882754 | − | 0.0175591i | 0.150755 | − | 0.988571i | \(-0.451830\pi\) |
−0.239030 | + | 0.971012i | \(0.576830\pi\) | |||||||
\(132\) | 15.6011 | + | 21.0186i | 1.35790 | + | 1.82944i | ||||
\(133\) | −1.06287 | − | 0.710189i | −0.0921627 | − | 0.0615812i | ||||
\(134\) | −14.2500 | − | 11.1163i | −1.23101 | − | 0.960306i | ||||
\(135\) | 26.2053 | − | 17.1782i | 2.25540 | − | 1.47847i | ||||
\(136\) | 10.5224 | − | 14.9591i | 0.902287 | − | 1.28273i | ||||
\(137\) | −6.46989 | + | 15.6197i | −0.552760 | + | 1.33448i | 0.362637 | + | 0.931930i | \(0.381876\pi\) |
−0.915398 | + | 0.402551i | \(0.868124\pi\) | |||||||
\(138\) | 11.2267 | + | 19.8089i | 0.955679 | + | 1.68625i | ||||
\(139\) | −1.33867 | − | 6.72993i | −0.113544 | − | 0.570825i | −0.995111 | − | 0.0987654i | \(-0.968511\pi\) |
0.881567 | − | 0.472060i | \(-0.156489\pi\) | |||||||
\(140\) | 3.71837 | − | 2.70955i | 0.314260 | − | 0.228999i | ||||
\(141\) | −6.37377 | − | 9.53903i | −0.536769 | − | 0.803331i | ||||
\(142\) | −0.145529 | + | 1.97812i | −0.0122125 | + | 0.166000i | ||||
\(143\) | 11.2633 | + | 11.2633i | 0.941884 | + | 0.941884i | ||||
\(144\) | 18.6455 | − | 22.7556i | 1.55379 | − | 1.89630i | ||||
\(145\) | 6.71189 | − | 9.85618i | 0.557392 | − | 0.818511i | ||||
\(146\) | 4.41822 | + | 5.11994i | 0.365655 | + | 0.423729i | ||||
\(147\) | 10.6221 | + | 15.8971i | 0.876099 | + | 1.31117i | ||||
\(148\) | −0.804531 | + | 0.0398371i | −0.0661320 | + | 0.00327459i | ||||
\(149\) | 18.4110 | − | 3.66219i | 1.50829 | − | 0.300018i | 0.629416 | − | 0.777069i | \(-0.283294\pi\) |
0.878876 | + | 0.477051i | \(0.158294\pi\) | |||||||
\(150\) | 2.39183 | + | 22.6277i | 0.195292 | + | 1.84755i | ||||
\(151\) | −2.38590 | + | 5.76008i | −0.194162 | + | 0.468748i | −0.990738 | − | 0.135791i | \(-0.956643\pi\) |
0.796576 | + | 0.604539i | \(0.206643\pi\) | |||||||
\(152\) | 2.54391 | − | 2.42483i | 0.206338 | − | 0.196679i | ||||
\(153\) | 43.9371 | − | 18.1994i | 3.55211 | − | 1.47133i | ||||
\(154\) | 0.725511 | + | 5.87291i | 0.0584633 | + | 0.473252i | ||||
\(155\) | 4.49291 | − | 10.5825i | 0.360879 | − | 0.850005i | ||||
\(156\) | 12.9493 | − | 21.6236i | 1.03677 | − | 1.73127i | ||||
\(157\) | −14.0280 | − | 2.79033i | −1.11955 | − | 0.222693i | −0.399582 | − | 0.916697i | \(-0.630845\pi\) |
−0.719971 | + | 0.694004i | \(0.755845\pi\) | |||||||
\(158\) | 3.61929 | + | 10.9486i | 0.287935 | + | 0.871026i | ||||
\(159\) | 10.1827i | 0.807538i | ||||||||
\(160\) | 5.03524 | + | 11.6037i | 0.398071 | + | 0.917355i | ||||
\(161\) | 5.14738i | 0.405670i | ||||||||
\(162\) | 30.9204 | − | 10.2214i | 2.42934 | − | 0.803067i | ||||
\(163\) | −19.2682 | − | 3.83268i | −1.50920 | − | 0.300198i | −0.629978 | − | 0.776613i | \(-0.716936\pi\) |
−0.879221 | + | 0.476414i | \(0.841936\pi\) | |||||||
\(164\) | −19.7915 | + | 4.96567i | −1.54546 | + | 0.387754i | ||||
\(165\) | −26.9383 | − | 11.4369i | −2.09714 | − | 0.890365i | ||||
\(166\) | 4.53314 | − | 0.560003i | 0.351840 | − | 0.0434646i | ||||
\(167\) | −19.9328 | + | 8.25642i | −1.54244 | + | 0.638901i | −0.981930 | − | 0.189244i | \(-0.939396\pi\) |
−0.560514 | + | 0.828145i | \(0.689396\pi\) | |||||||
\(168\) | 8.73411 | − | 3.37496i | 0.673852 | − | 0.260384i | ||||
\(169\) | 0.894530 | − | 2.15959i | 0.0688100 | − | 0.166122i | ||||
\(170\) | −1.67969 | + | 20.3789i | −0.128826 | + | 1.56299i | ||||
\(171\) | 8.96294 | − | 1.78284i | 0.685413 | − | 0.136337i | ||||
\(172\) | 2.11639 | − | 2.33690i | 0.161374 | − | 0.178187i | ||||
\(173\) | −2.92750 | − | 4.38132i | −0.222574 | − | 0.333105i | 0.703331 | − | 0.710863i | \(-0.251695\pi\) |
−0.925905 | + | 0.377757i | \(0.876695\pi\) | |||||||
\(174\) | 18.3731 | − | 15.8550i | 1.39286 | − | 1.20196i | ||||
\(175\) | −2.05182 | + | 4.71698i | −0.155103 | + | 0.356570i | ||||
\(176\) | −16.1920 | − | 1.58208i | −1.22052 | − | 0.119254i | ||||
\(177\) | 12.5298 | + | 12.5298i | 0.941795 | + | 0.941795i | ||||
\(178\) | −5.66027 | − | 0.416423i | −0.424255 | − | 0.0312122i | ||||
\(179\) | 5.73923 | + | 8.58936i | 0.428970 | + | 0.641999i | 0.981493 | − | 0.191499i | \(-0.0613348\pi\) |
−0.552523 | + | 0.833498i | \(0.686335\pi\) | |||||||
\(180\) | −5.09966 | + | 32.4935i | −0.380106 | + | 2.42193i | ||||
\(181\) | −3.42273 | − | 17.2072i | −0.254409 | − | 1.27900i | −0.870830 | − | 0.491585i | \(-0.836418\pi\) |
0.616420 | − | 0.787417i | \(-0.288582\pi\) | |||||||
\(182\) | 4.95715 | − | 2.80946i | 0.367448 | − | 0.208251i | ||||
\(183\) | 7.61388 | − | 18.3815i | 0.562834 | − | 1.35880i | ||||
\(184\) | −13.8096 | − | 3.09260i | −1.01806 | − | 0.227990i | ||||
\(185\) | 0.753191 | − | 0.493735i | 0.0553757 | − | 0.0363001i | ||||
\(186\) | 14.3914 | − | 18.4483i | 1.05523 | − | 1.35270i | ||||
\(187\) | −21.8675 | − | 14.6114i | −1.59911 | − | 1.06849i | ||||
\(188\) | 7.05371 | + | 1.04352i | 0.514444 | + | 0.0761066i | ||||
\(189\) | 14.1393 | + | 2.81247i | 1.02848 | + | 0.204577i | ||||
\(190\) | −1.08053 | + | 3.77777i | −0.0783902 | + | 0.274068i | ||||
\(191\) | 2.12788 | 0.153968 | 0.0769841 | − | 0.997032i | \(-0.475471\pi\) | ||||
0.0769841 | + | 0.997032i | \(0.475471\pi\) | |||||||
\(192\) | 3.80693 | + | 25.4599i | 0.274741 | + | 1.83741i | ||||
\(193\) | 5.48431i | 0.394769i | 0.980326 | + | 0.197385i | \(0.0632447\pi\) | ||||
−0.980326 | + | 0.197385i | \(0.936755\pi\) | |||||||
\(194\) | 0.873951 | − | 1.73708i | 0.0627460 | − | 0.124715i | ||||
\(195\) | −0.247975 | + | 28.1783i | −0.0177578 | + | 2.01789i | ||||
\(196\) | −11.7553 | − | 1.73907i | −0.839662 | − | 0.124219i | ||||
\(197\) | 17.2708 | + | 11.5400i | 1.23049 | + | 0.822190i | 0.988957 | − | 0.148202i | \(-0.0473485\pi\) |
0.241537 | + | 0.970392i | \(0.422349\pi\) | |||||||
\(198\) | −33.3554 | − | 26.0204i | −2.37047 | − | 1.84919i | ||||
\(199\) | −4.92325 | + | 2.03928i | −0.349000 | + | 0.144561i | −0.550295 | − | 0.834970i | \(-0.685485\pi\) |
0.201295 | + | 0.979531i | \(0.435485\pi\) | |||||||
\(200\) | −11.4221 | − | 8.33874i | −0.807668 | − | 0.589638i | ||||
\(201\) | 37.9928 | + | 15.7371i | 2.67980 | + | 1.11001i | ||||
\(202\) | 16.7946 | − | 9.51832i | 1.18166 | − | 0.669707i | ||||
\(203\) | 5.38088 | − | 1.07032i | 0.377664 | − | 0.0751220i | ||||
\(204\) | −14.0045 | + | 39.1878i | −0.980508 | + | 2.74369i | ||||
\(205\) | 16.2728 | − | 15.9889i | 1.13654 | − | 1.11672i | ||||
\(206\) | 0.184310 | − | 2.50526i | 0.0128415 | − | 0.174550i | ||||
\(207\) | −26.0203 | − | 26.0203i | −1.80854 | − | 1.80854i | ||||
\(208\) | 4.55902 | + | 14.9872i | 0.316111 | + | 1.03917i | ||||
\(209\) | −3.57354 | − | 3.57354i | −0.247187 | − | 0.247187i | ||||
\(210\) | −6.51147 | + | 8.19724i | −0.449334 | + | 0.565663i | ||||
\(211\) | −9.54510 | + | 6.37783i | −0.657112 | + | 0.439068i | −0.838912 | − | 0.544267i | \(-0.816808\pi\) |
0.181800 | + | 0.983336i | \(0.441808\pi\) | |||||||
\(212\) | −4.69099 | − | 4.24835i | −0.322179 | − | 0.291778i | ||||
\(213\) | −0.880469 | − | 4.42642i | −0.0603288 | − | 0.303293i | ||||
\(214\) | 3.13480 | + | 0.866862i | 0.214291 | + | 0.0592575i | ||||
\(215\) | −0.718081 | + | 3.45104i | −0.0489727 | + | 0.235359i | ||||
\(216\) | −16.0405 | + | 36.2436i | −1.09141 | + | 2.46607i | ||||
\(217\) | 4.88685 | − | 2.02420i | 0.331741 | − | 0.137412i | ||||
\(218\) | −1.14046 | − | 9.23188i | −0.0772419 | − | 0.625262i | ||||
\(219\) | −12.7945 | − | 8.54899i | −0.864570 | − | 0.577687i | ||||
\(220\) | 16.5078 | − | 7.63837i | 1.11296 | − | 0.514979i | ||||
\(221\) | −4.94042 | + | 24.8372i | −0.332329 | + | 1.67073i | ||||
\(222\) | 1.74024 | − | 0.575271i | 0.116797 | − | 0.0386097i | ||||
\(223\) | −20.3277 | −1.36124 | −0.680621 | − | 0.732636i | \(-0.738290\pi\) | ||||
−0.680621 | + | 0.732636i | \(0.738290\pi\) | |||||||
\(224\) | −2.08921 | + | 5.43175i | −0.139591 | + | 0.362924i | ||||
\(225\) | −13.4725 | − | 34.2168i | −0.898169 | − | 2.28112i | ||||
\(226\) | −1.60991 | + | 0.532189i | −0.107090 | + | 0.0354007i | ||||
\(227\) | 2.43540 | + | 0.484431i | 0.161643 | + | 0.0321528i | 0.275248 | − | 0.961373i | \(-0.411240\pi\) |
−0.113605 | + | 0.993526i | \(0.536240\pi\) | |||||||
\(228\) | −4.10845 | + | 6.86058i | −0.272089 | + | 0.454353i | ||||
\(229\) | −2.21789 | − | 1.48195i | −0.146563 | − | 0.0979300i | 0.480127 | − | 0.877199i | \(-0.340591\pi\) |
−0.626690 | + | 0.779269i | \(0.715591\pi\) | |||||||
\(230\) | 15.0656 | − | 4.83360i | 0.993396 | − | 0.318718i | ||||
\(231\) | −5.15271 | − | 12.4397i | −0.339023 | − | 0.818475i | ||||
\(232\) | −0.361388 | + | 15.0791i | −0.0237263 | + | 0.989991i | ||||
\(233\) | 5.82162 | + | 2.41139i | 0.381387 | + | 0.157976i | 0.565136 | − | 0.824997i | \(-0.308823\pi\) |
−0.183749 | + | 0.982973i | \(0.558823\pi\) | |||||||
\(234\) | −10.8567 | + | 39.2607i | −0.709724 | + | 2.56655i | ||||
\(235\) | −7.39184 | + | 2.98587i | −0.482190 | + | 0.194776i | ||||
\(236\) | −10.9999 | + | 0.544668i | −0.716030 | + | 0.0354548i | ||||
\(237\) | −14.5771 | − | 21.8162i | −0.946887 | − | 1.41712i | ||||
\(238\) | −7.12250 | + | 6.14632i | −0.461683 | + | 0.398407i | ||||
\(239\) | 15.2260 | + | 15.2260i | 0.984887 | + | 0.984887i | 0.999887 | − | 0.0150000i | \(-0.00477484\pi\) |
−0.0150000 | + | 0.999887i | \(0.504775\pi\) | |||||||
\(240\) | −18.0797 | − | 22.3942i | −1.16704 | − | 1.44554i | ||||
\(241\) | 1.82803 | − | 1.82803i | 0.117754 | − | 0.117754i | −0.645774 | − | 0.763528i | \(-0.723465\pi\) |
0.763528 | + | 0.645774i | \(0.223465\pi\) | |||||||
\(242\) | −0.575121 | + | 7.81740i | −0.0369702 | + | 0.502522i | ||||
\(243\) | −26.6581 | + | 17.8124i | −1.71012 | + | 1.14266i | ||||
\(244\) | 5.29146 | + | 11.1766i | 0.338751 | + | 0.715510i | ||||
\(245\) | 12.3188 | − | 4.97606i | 0.787017 | − | 0.317909i | ||||
\(246\) | 40.3928 | − | 22.8926i | 2.57535 | − | 1.45958i | ||||
\(247\) | −1.86221 | + | 4.49576i | −0.118489 | + | 0.286059i | ||||
\(248\) | 2.49453 | + | 14.3268i | 0.158403 | + | 0.909753i | ||||
\(249\) | −9.60191 | + | 3.97724i | −0.608496 | + | 0.252047i | ||||
\(250\) | 15.7327 | + | 1.57594i | 0.995020 | + | 0.0996712i | ||||
\(251\) | −16.2389 | + | 24.3033i | −1.02499 | + | 1.53401i | −0.191490 | + | 0.981495i | \(0.561332\pi\) |
−0.833503 | + | 0.552515i | \(0.813668\pi\) | |||||||
\(252\) | −12.1513 | + | 9.01933i | −0.765460 | + | 0.568164i | ||||
\(253\) | −3.97009 | + | 19.9590i | −0.249597 | + | 1.25481i | ||||
\(254\) | −11.7873 | − | 5.93037i | −0.739602 | − | 0.372105i | ||||
\(255\) | −8.67504 | − | 45.7111i | −0.543252 | − | 2.86254i | ||||
\(256\) | −13.3173 | − | 8.86846i | −0.832331 | − | 0.554279i | ||||
\(257\) | − | 21.1976i | − | 1.32227i | −0.750267 | − | 0.661135i | \(-0.770075\pi\) | ||
0.750267 | − | 0.661135i | \(-0.229925\pi\) | |||||||
\(258\) | −3.22420 | + | 6.40849i | −0.200730 | + | 0.398975i | ||||
\(259\) | 0.406390 | + | 0.0808359i | 0.0252518 | + | 0.00502290i | ||||
\(260\) | −12.8778 | − | 11.8706i | −0.798650 | − | 0.736185i | ||||
\(261\) | −21.7901 | + | 32.6112i | −1.34878 | + | 2.01858i | ||||
\(262\) | −0.896081 | + | 1.14868i | −0.0553600 | + | 0.0709657i | ||||
\(263\) | −0.124642 | − | 0.300912i | −0.00768576 | − | 0.0185551i | 0.919990 | − | 0.391942i | \(-0.128196\pi\) |
−0.927676 | + | 0.373387i | \(0.878196\pi\) | |||||||
\(264\) | 36.4697 | − | 6.34996i | 2.24455 | − | 0.390813i | ||||
\(265\) | 6.92745 | + | 1.44144i | 0.425550 | + | 0.0885471i | ||||
\(266\) | −1.57277 | + | 0.891365i | −0.0964326 | + | 0.0546531i | ||||
\(267\) | 12.6659 | − | 2.51941i | 0.775143 | − | 0.154186i | ||||
\(268\) | −23.1010 | + | 10.9369i | −1.41112 | + | 0.668078i | ||||
\(269\) | −11.4285 | − | 17.1039i | −0.696805 | − | 1.04284i | −0.996061 | − | 0.0886695i | \(-0.971739\pi\) |
0.299256 | − | 0.954173i | \(-0.403261\pi\) | |||||||
\(270\) | −5.04567 | − | 44.0246i | −0.307070 | − | 2.67925i | ||||
\(271\) | −6.47242 | + | 6.47242i | −0.393171 | + | 0.393171i | −0.875816 | − | 0.482645i | \(-0.839676\pi\) |
0.482645 | + | 0.875816i | \(0.339676\pi\) | |||||||
\(272\) | −12.2103 | − | 22.8013i | −0.740359 | − | 1.38253i | ||||
\(273\) | −9.16760 | + | 9.16760i | −0.554849 | + | 0.554849i | ||||
\(274\) | 15.6206 | + | 18.1015i | 0.943676 | + | 1.09355i | ||||
\(275\) | −11.5941 | + | 16.7076i | −0.699151 | + | 1.00751i | ||||
\(276\) | 32.1610 | − | 1.59248i | 1.93586 | − | 0.0958559i | ||||
\(277\) | 3.75705 | + | 18.8880i | 0.225739 | + | 1.13487i | 0.912843 | + | 0.408310i | \(0.133882\pi\) |
−0.687104 | + | 0.726559i | \(0.741118\pi\) | |||||||
\(278\) | −9.35300 | − | 2.58637i | −0.560956 | − | 0.155120i | ||||
\(279\) | −14.4709 | + | 34.9358i | −0.866349 | + | 2.09155i | ||||
\(280\) | −1.05966 | − | 6.41973i | −0.0633268 | − | 0.383652i | ||||
\(281\) | −1.35103 | − | 3.26167i | −0.0805957 | − | 0.194575i | 0.878445 | − | 0.477843i | \(-0.158581\pi\) |
−0.959041 | + | 0.283268i | \(0.908581\pi\) | |||||||
\(282\) | −16.1021 | + | 1.98918i | −0.958869 | + | 0.118454i | ||||
\(283\) | 17.8889 | − | 26.7726i | 1.06338 | − | 1.59147i | 0.290549 | − | 0.956860i | \(-0.406162\pi\) |
0.772835 | − | 0.634606i | \(-0.218838\pi\) | |||||||
\(284\) | 2.40652 | + | 1.44115i | 0.142801 | + | 0.0855163i | ||||
\(285\) | 0.0786756 | − | 8.94021i | 0.00466034 | − | 0.529573i | ||||
\(286\) | 21.3883 | − | 7.07033i | 1.26471 | − | 0.418077i | ||||
\(287\) | 10.4961 | 0.619567 | ||||||||
\(288\) | −16.8968 | − | 38.0189i | −0.995652 | − | 2.24029i | ||||
\(289\) | − | 24.8120i | − | 1.45953i | ||||||
\(290\) | −8.18555 | − | 14.7440i | −0.480672 | − | 0.865795i | ||||
\(291\) | −0.863191 | + | 4.33955i | −0.0506011 | + | 0.254389i | ||||
\(292\) | 9.27642 | − | 2.32745i | 0.542861 | − | 0.136204i | ||||
\(293\) | −3.84312 | + | 5.75164i | −0.224518 | + | 0.336015i | −0.926578 | − | 0.376103i | \(-0.877264\pi\) |
0.702060 | + | 0.712118i | \(0.252264\pi\) | |||||||
\(294\) | 26.8348 | − | 3.31505i | 1.56504 | − | 0.193337i | ||||
\(295\) | 10.2979 | − | 6.75053i | 0.599568 | − | 0.393031i | ||||
\(296\) | −0.461033 | + | 1.04171i | −0.0267970 | + | 0.0605482i | ||||
\(297\) | 52.6559 | + | 21.8108i | 3.05540 | + | 1.26559i | ||||
\(298\) | 7.07553 | − | 25.5870i | 0.409874 | − | 1.48221i | ||||
\(299\) | 19.2182 | − | 3.82274i | 1.11142 | − | 0.221075i | ||||
\(300\) | 30.1066 | + | 11.3605i | 1.73821 | + | 0.655901i | ||||
\(301\) | −1.34846 | + | 0.901014i | −0.0777241 | + | 0.0519336i | ||||
\(302\) | 5.76041 | + | 6.67530i | 0.331475 | + | 0.384120i | ||||
\(303\) | −31.0594 | + | 31.0594i | −1.78432 | + | 1.78432i | ||||
\(304\) | −1.44645 | − | 4.75503i | −0.0829598 | − | 0.272720i | ||||
\(305\) | −11.4275 | − | 7.78192i | −0.654336 | − | 0.445592i | ||||
\(306\) | 4.93465 | − | 67.0748i | 0.282095 | − | 3.83441i | ||||
\(307\) | −9.62072 | + | 6.42836i | −0.549084 | + | 0.366886i | −0.798953 | − | 0.601394i | \(-0.794612\pi\) |
0.249869 | + | 0.968280i | \(0.419612\pi\) | |||||||
\(308\) | 7.88058 | + | 2.81627i | 0.449037 | + | 0.160472i | ||||
\(309\) | 1.11510 | + | 5.60600i | 0.0634360 | + | 0.318914i | ||||
\(310\) | −10.5135 | − | 12.4023i | −0.597126 | − | 0.704402i | ||||
\(311\) | −1.05576 | − | 0.437309i | −0.0598665 | − | 0.0247975i | 0.352549 | − | 0.935793i | \(-0.385315\pi\) |
−0.412416 | + | 0.910996i | \(0.635315\pi\) | |||||||
\(312\) | −19.0872 | − | 30.1032i | −1.08060 | − | 1.70426i | ||||
\(313\) | 0.968545 | + | 2.33827i | 0.0547454 | + | 0.132167i | 0.948886 | − | 0.315620i | \(-0.102212\pi\) |
−0.894140 | + | 0.447787i | \(0.852212\pi\) | |||||||
\(314\) | −12.4413 | + | 15.9484i | −0.702104 | + | 0.900023i | ||||
\(315\) | 6.61193 | − | 15.5735i | 0.372540 | − | 0.877470i | ||||
\(316\) | 16.1322 | + | 2.38659i | 0.907506 | + | 0.134256i | ||||
\(317\) | 6.67596 | − | 33.5623i | 0.374959 | − | 1.88505i | −0.0837907 | − | 0.996483i | \(-0.526703\pi\) |
0.458750 | − | 0.888565i | \(-0.348297\pi\) | |||||||
\(318\) | 12.8641 | + | 6.47212i | 0.721383 | + | 0.362938i | ||||
\(319\) | 21.6899 | 1.21440 | ||||||||
\(320\) | 17.8598 | + | 1.01415i | 0.998392 | + | 0.0566927i | ||||
\(321\) | −7.40057 | −0.413059 | ||||||||
\(322\) | 6.50285 | + | 3.27168i | 0.362390 | + | 0.182324i | ||||
\(323\) | 1.56746 | − | 7.88016i | 0.0872159 | − | 0.438464i | ||||
\(324\) | 6.74004 | − | 45.5595i | 0.374447 | − | 2.53108i | ||||
\(325\) | 19.1351 | + | 4.15758i | 1.06143 | + | 0.230621i | ||||
\(326\) | −17.0888 | + | 21.9061i | −0.946462 | + | 1.21326i | ||||
\(327\) | 8.09977 | + | 19.5546i | 0.447918 | + | 1.08137i | ||||
\(328\) | −6.30620 | + | 28.1594i | −0.348201 | + | 1.55484i | ||||
\(329\) | −3.38866 | − | 1.40363i | −0.186823 | − | 0.0773846i | ||||
\(330\) | −31.5707 | + | 26.7627i | −1.73791 | + | 1.47324i | ||||
\(331\) | −6.67813 | − | 33.5732i | −0.367063 | − | 1.84535i | −0.516112 | − | 0.856521i | \(-0.672621\pi\) |
0.149049 | − | 0.988830i | \(-0.452379\pi\) | |||||||
\(332\) | 2.17380 | − | 6.08281i | 0.119303 | − | 0.333837i | ||||
\(333\) | −2.46296 | + | 1.64569i | −0.134969 | + | 0.0901835i | ||||
\(334\) | −2.23868 | + | 30.4295i | −0.122495 | + | 1.66503i | ||||
\(335\) | 16.0845 | − | 23.6195i | 0.878787 | − | 1.29047i | ||||
\(336\) | 1.28771 | − | 13.1792i | 0.0702505 | − | 0.718986i | ||||
\(337\) | −13.6205 | + | 13.6205i | −0.741955 | + | 0.741955i | −0.972954 | − | 0.230999i | \(-0.925801\pi\) |
0.230999 | + | 0.972954i | \(0.425801\pi\) | |||||||
\(338\) | −2.15971 | − | 2.50273i | −0.117473 | − | 0.136130i | ||||
\(339\) | 3.20791 | − | 2.14346i | 0.174230 | − | 0.116417i | ||||
\(340\) | 24.6777 | + | 15.0748i | 1.33834 | + | 0.817548i | ||||
\(341\) | 20.5100 | − | 4.07970i | 1.11068 | − | 0.220928i | ||||
\(342\) | 3.44454 | − | 12.4564i | 0.186259 | − | 0.673562i | ||||
\(343\) | 12.3006 | + | 5.09509i | 0.664172 | + | 0.275109i | ||||
\(344\) | −1.60710 | − | 4.15905i | −0.0866493 | − | 0.224241i | ||||
\(345\) | −30.1087 | + | 19.7370i | −1.62100 | + | 1.06260i | ||||
\(346\) | −7.39579 | + | 0.913640i | −0.397600 | + | 0.0491176i | ||||
\(347\) | −4.54271 | + | 6.79864i | −0.243865 | + | 0.364970i | −0.933130 | − | 0.359539i | \(-0.882934\pi\) |
0.689264 | + | 0.724510i | \(0.257934\pi\) | |||||||
\(348\) | −8.35213 | − | 33.2888i | −0.447721 | − | 1.78446i | ||||
\(349\) | −3.83111 | + | 19.2603i | −0.205075 | + | 1.03098i | 0.731854 | + | 0.681461i | \(0.238655\pi\) |
−0.936929 | + | 0.349519i | \(0.886345\pi\) | |||||||
\(350\) | 4.65498 | + | 5.59026i | 0.248819 | + | 0.298812i | ||||
\(351\) | − | 54.8790i | − | 2.92923i | ||||||
\(352\) | −12.2903 | + | 19.4503i | −0.655077 | + | 1.03670i | ||||
\(353\) | −19.2727 | −1.02578 | −0.512892 | − | 0.858453i | \(-0.671426\pi\) | ||||
−0.512892 | + | 0.858453i | \(0.671426\pi\) | |||||||
\(354\) | 23.7932 | − | 7.86533i | 1.26459 | − | 0.418038i | ||||
\(355\) | −3.13601 | − | 0.0275975i | −0.166442 | − | 0.00146472i | ||||
\(356\) | −4.12376 | + | 6.88613i | −0.218559 | + | 0.364964i | ||||
\(357\) | 11.8928 | − | 17.7988i | 0.629432 | − | 0.942011i | ||||
\(358\) | 14.4991 | − | 1.79115i | 0.766300 | − | 0.0946651i | ||||
\(359\) | −2.21826 | − | 5.35535i | −0.117075 | − | 0.282645i | 0.854469 | − | 0.519502i | \(-0.173883\pi\) |
−0.971544 | + | 0.236857i | \(0.923883\pi\) | |||||||
\(360\) | 37.8088 | + | 27.0955i | 1.99270 | + | 1.42806i | ||||
\(361\) | −6.68016 | + | 16.1273i | −0.351587 | + | 0.848807i | ||||
\(362\) | −23.9139 | − | 6.61288i | −1.25689 | − | 0.347565i | ||||
\(363\) | −3.47956 | − | 17.4929i | −0.182630 | − | 0.918141i | ||||
\(364\) | −0.398515 | − | 8.04822i | −0.0208879 | − | 0.421841i | ||||
\(365\) | −7.62720 | + | 7.49413i | −0.399226 | + | 0.392261i | ||||
\(366\) | −18.3826 | − | 21.3022i | −0.960874 | − | 1.11348i | ||||
\(367\) | −1.48023 | + | 1.48023i | −0.0772675 | + | 0.0772675i | −0.744684 | − | 0.667417i | \(-0.767400\pi\) |
0.667417 | + | 0.744684i | \(0.267400\pi\) | |||||||
\(368\) | −12.6844 | + | 15.4804i | −0.661219 | + | 0.806974i | ||||
\(369\) | −53.0586 | + | 53.0586i | −2.76212 | + | 2.76212i | ||||
\(370\) | −0.145022 | − | 1.26535i | −0.00753935 | − | 0.0657824i | ||||
\(371\) | 1.80865 | + | 2.70684i | 0.0939006 | + | 0.140532i | ||||
\(372\) | −14.1591 | − | 29.9070i | −0.734118 | − | 1.55060i | ||||
\(373\) | 9.95247 | − | 1.97967i | 0.515319 | − | 0.102503i | 0.0694218 | − | 0.997587i | \(-0.477885\pi\) |
0.445898 | + | 0.895084i | \(0.352885\pi\) | |||||||
\(374\) | −32.3581 | + | 18.3389i | −1.67320 | + | 0.948284i | ||||
\(375\) | −35.4586 | + | 6.08488i | −1.83108 | + | 0.314222i | ||||
\(376\) | 5.80166 | − | 8.24792i | 0.299198 | − | 0.425354i | ||||
\(377\) | −7.99231 | − | 19.2951i | −0.411625 | − | 0.993750i | ||||
\(378\) | 12.5400 | − | 16.0750i | 0.644989 | − | 0.826808i | ||||
\(379\) | 8.65623 | − | 12.9550i | 0.444640 | − | 0.665452i | −0.539674 | − | 0.841874i | \(-0.681453\pi\) |
0.984315 | + | 0.176423i | \(0.0564525\pi\) | |||||||
\(380\) | 4.08579 | + | 3.76623i | 0.209597 | + | 0.193203i | ||||
\(381\) | 29.4469 | + | 5.85736i | 1.50861 | + | 0.300082i | ||||
\(382\) | 1.35248 | − | 2.68822i | 0.0691991 | − | 0.137542i | ||||
\(383\) | 10.2123i | 0.521825i | 0.965362 | + | 0.260912i | \(0.0840234\pi\) | ||||
−0.965362 | + | 0.260912i | \(0.915977\pi\) | |||||||
\(384\) | 34.5841 | + | 11.3730i | 1.76486 | + | 0.580374i | ||||
\(385\) | −9.19240 | + | 1.74453i | −0.468488 | + | 0.0889096i | ||||
\(386\) | 6.92851 | + | 3.48583i | 0.352652 | + | 0.177424i | ||||
\(387\) | 2.26188 | − | 11.3713i | 0.114978 | − | 0.578033i | ||||
\(388\) | −1.63903 | − | 2.20818i | −0.0832090 | − | 0.112103i | ||||
\(389\) | 16.8592 | − | 25.2315i | 0.854794 | − | 1.27929i | −0.103824 | − | 0.994596i | \(-0.533108\pi\) |
0.958618 | − | 0.284694i | \(-0.0918920\pi\) | |||||||
\(390\) | 35.4410 | + | 18.2234i | 1.79462 | + | 0.922780i | ||||
\(391\) | −29.8901 | + | 12.3809i | −1.51161 | + | 0.626129i | ||||
\(392\) | −9.66868 | + | 13.7455i | −0.488342 | + | 0.694251i | ||||
\(393\) | 1.26856 | − | 3.06257i | 0.0639903 | − | 0.154486i | ||||
\(394\) | 25.5562 | − | 14.4840i | 1.28750 | − | 0.729691i | ||||
\(395\) | −16.9055 | + | 6.82883i | −0.850608 | + | 0.343596i | ||||
\(396\) | −54.0732 | + | 25.6004i | −2.71728 | + | 1.28647i | ||||
\(397\) | 24.8123 | − | 16.5791i | 1.24530 | − | 0.832080i | 0.254451 | − | 0.967086i | \(-0.418105\pi\) |
0.990845 | + | 0.135005i | \(0.0431052\pi\) | |||||||
\(398\) | −0.552938 | + | 7.51588i | −0.0277163 | + | 0.376737i | ||||
\(399\) | 2.90863 | − | 2.90863i | 0.145614 | − | 0.145614i | ||||
\(400\) | −17.7945 | + | 9.12987i | −0.889727 | + | 0.456493i | ||||
\(401\) | −18.5646 | − | 18.5646i | −0.927070 | − | 0.927070i | 0.0704458 | − | 0.997516i | \(-0.477558\pi\) |
−0.997516 | + | 0.0704458i | \(0.977558\pi\) | |||||||
\(402\) | 44.0295 | − | 37.9950i | 2.19599 | − | 1.89502i | ||||
\(403\) | −11.1868 | − | 16.7422i | −0.557255 | − | 0.833991i | ||||
\(404\) | −1.35015 | − | 27.2670i | −0.0671725 | − | 1.35658i | ||||
\(405\) | 19.2855 | + | 47.7435i | 0.958306 | + | 2.37239i | ||||
\(406\) | 2.06792 | − | 7.47814i | 0.102629 | − | 0.371134i | ||||
\(407\) | 1.51343 | + | 0.626884i | 0.0750180 | + | 0.0310735i | ||||
\(408\) | 40.6060 | + | 42.6001i | 2.01029 | + | 2.10902i | ||||
\(409\) | 7.13179 | + | 17.2177i | 0.352644 | + | 0.851359i | 0.996292 | + | 0.0860369i | \(0.0274203\pi\) |
−0.643647 | + | 0.765322i | \(0.722580\pi\) | |||||||
\(410\) | −9.85631 | − | 30.7206i | −0.486768 | − | 1.51718i | ||||
\(411\) | −45.2348 | − | 30.2249i | −2.23127 | − | 1.49089i | ||||
\(412\) | −3.04783 | − | 1.82519i | −0.150156 | − | 0.0899208i | ||||
\(413\) | 5.55632 | + | 1.10522i | 0.273408 | + | 0.0543843i | ||||
\(414\) | −49.4109 | + | 16.3338i | −2.42841 | + | 0.802762i | ||||
\(415\) | 1.34656 | + | 7.09537i | 0.0661000 | + | 0.348298i | ||||
\(416\) | 21.8315 | + | 3.76631i | 1.07038 | + | 0.184659i | ||||
\(417\) | 22.0803 | 1.08128 | ||||||||
\(418\) | −6.78592 | + | 2.24322i | −0.331910 | + | 0.109720i | ||||
\(419\) | −1.40198 | + | 7.04822i | −0.0684911 | + | 0.344328i | −0.999802 | − | 0.0198972i | \(-0.993666\pi\) |
0.931311 | + | 0.364225i | \(0.118666\pi\) | |||||||
\(420\) | 6.21715 | + | 13.4363i | 0.303366 | + | 0.655626i | ||||
\(421\) | 19.6779 | + | 13.1483i | 0.959042 | + | 0.640811i | 0.933391 | − | 0.358860i | \(-0.116834\pi\) |
0.0256501 | + | 0.999671i | \(0.491834\pi\) | |||||||
\(422\) | 1.99045 | + | 16.1124i | 0.0968936 | + | 0.784340i | ||||
\(423\) | 24.2253 | − | 10.0345i | 1.17788 | − | 0.487892i | ||||
\(424\) | −8.34869 | + | 3.22603i | −0.405448 | + | 0.156670i | ||||
\(425\) | −32.3261 | − | 0.568996i | −1.56805 | − | 0.0276004i | ||||
\(426\) | −6.15167 | − | 1.70111i | −0.298049 | − | 0.0824191i | ||||
\(427\) | −1.24096 | − | 6.23872i | −0.0600542 | − | 0.301913i | ||||
\(428\) | 3.08762 | − | 3.40932i | 0.149246 | − | 0.164796i | ||||
\(429\) | −42.6183 | + | 28.4766i | −2.05763 | + | 1.37486i | ||||
\(430\) | 3.90340 | + | 3.10066i | 0.188239 | + | 0.149527i | ||||
\(431\) | 7.23989 | + | 7.23989i | 0.348733 | + | 0.348733i | 0.859638 | − | 0.510904i | \(-0.170689\pi\) |
−0.510904 | + | 0.859638i | \(0.670689\pi\) | |||||||
\(432\) | 35.5924 | + | 43.3009i | 1.71244 | + | 2.08332i | ||||
\(433\) | −7.33726 | − | 7.33726i | −0.352606 | − | 0.352606i | 0.508472 | − | 0.861078i | \(-0.330211\pi\) |
−0.861078 | + | 0.508472i | \(0.830211\pi\) | |||||||
\(434\) | 0.548850 | − | 7.46031i | 0.0263456 | − | 0.358106i | ||||
\(435\) | 26.8930 | + | 27.3705i | 1.28942 | + | 1.31231i | ||||
\(436\) | −12.3878 | − | 4.42701i | −0.593269 | − | 0.212015i | ||||
\(437\) | −6.09742 | + | 1.21285i | −0.291679 | + | 0.0580186i | ||||
\(438\) | −18.9324 | + | 10.7299i | −0.904625 | + | 0.512696i | ||||
\(439\) | −23.1142 | − | 9.57421i | −1.10318 | − | 0.456952i | −0.244596 | − | 0.969625i | \(-0.578655\pi\) |
−0.858584 | + | 0.512673i | \(0.828655\pi\) | |||||||
\(440\) | 0.842596 | − | 25.7099i | 0.0401692 | − | 1.22567i | ||||
\(441\) | −40.3724 | + | 16.7228i | −1.92250 | + | 0.796324i | ||||
\(442\) | 28.2375 | + | 22.0279i | 1.34312 | + | 1.04776i | ||||
\(443\) | −8.47589 | − | 5.66341i | −0.402702 | − | 0.269077i | 0.337683 | − | 0.941260i | \(-0.390357\pi\) |
−0.740385 | + | 0.672183i | \(0.765357\pi\) | |||||||
\(444\) | 0.379338 | − | 2.56414i | 0.0180026 | − | 0.121689i | ||||
\(445\) | 0.0789687 | − | 8.97352i | 0.00374348 | − | 0.425386i | ||||
\(446\) | −12.9203 | + | 25.6806i | −0.611794 | + | 1.21601i | ||||
\(447\) | 60.4051i | 2.85706i | ||||||||
\(448\) | 5.53421 | + | 6.09179i | 0.261467 | + | 0.287810i | ||||
\(449\) | −15.3841 | −0.726022 | −0.363011 | − | 0.931785i | \(-0.618251\pi\) | ||||
−0.363011 | + | 0.931785i | \(0.618251\pi\) | |||||||
\(450\) | −51.7903 | − | 4.72790i | −2.44142 | − | 0.222875i | ||||
\(451\) | 40.6988 | + | 8.09550i | 1.91643 | + | 0.381202i | ||||
\(452\) | −0.350929 | + | 2.37211i | −0.0165063 | + | 0.111575i | ||||
\(453\) | −16.6812 | − | 11.1460i | −0.783753 | − | 0.523687i | ||||
\(454\) | 2.15994 | − | 2.76882i | 0.101371 | − | 0.129947i | ||||
\(455\) | 4.93914 | + | 7.53464i | 0.231550 | + | 0.353229i | ||||
\(456\) | 6.05586 | + | 9.55094i | 0.283591 | + | 0.447264i | ||||
\(457\) | 13.0415 | − | 31.4850i | 0.610057 | − | 1.47281i | −0.252881 | − | 0.967497i | \(-0.581378\pi\) |
0.862938 | − | 0.505310i | \(-0.168622\pi\) | |||||||
\(458\) | −3.28189 | + | 1.86001i | −0.153353 | + | 0.0869126i | ||||
\(459\) | 17.6773 | + | 88.8696i | 0.825104 | + | 4.14808i | ||||
\(460\) | 3.46926 | − | 22.1051i | 0.161755 | − | 1.03066i | ||||
\(461\) | 20.7967 | + | 31.1245i | 0.968601 | + | 1.44961i | 0.891728 | + | 0.452572i | \(0.149494\pi\) |
0.0768728 | + | 0.997041i | \(0.475506\pi\) | |||||||
\(462\) | −18.9906 | − | 1.39713i | −0.883523 | − | 0.0650002i | ||||
\(463\) | −6.99552 | − | 6.99552i | −0.325109 | − | 0.325109i | 0.525614 | − | 0.850723i | \(-0.323836\pi\) |
−0.850723 | + | 0.525614i | \(0.823836\pi\) | |||||||
\(464\) | 18.8202 | + | 10.0408i | 0.873707 | + | 0.466135i | ||||
\(465\) | 30.5782 | + | 20.8232i | 1.41803 | + | 0.965655i | ||||
\(466\) | 6.74662 | − | 5.82196i | 0.312531 | − | 0.269697i | ||||
\(467\) | −12.7949 | − | 19.1489i | −0.592078 | − | 0.886108i | 0.407555 | − | 0.913181i | \(-0.366381\pi\) |
−0.999633 | + | 0.0270729i | \(0.991381\pi\) | |||||||
\(468\) | 42.6988 | + | 38.6698i | 1.97375 | + | 1.78751i | ||||
\(469\) | 12.8948 | − | 2.56494i | 0.595427 | − | 0.118438i | ||||
\(470\) | −0.926118 | + | 11.2362i | −0.0427186 | + | 0.518286i | ||||
\(471\) | 17.6128 | − | 42.5211i | 0.811557 | − | 1.95927i | ||||
\(472\) | −6.30343 | + | 14.2427i | −0.290139 | + | 0.655572i | ||||
\(473\) | −5.92361 | + | 2.45364i | −0.272368 | + | 0.112819i | ||||
\(474\) | −36.8264 | + | 4.54936i | −1.69149 | + | 0.208959i | ||||
\(475\) | −6.07105 | − | 1.31909i | −0.278559 | − | 0.0605239i | ||||
\(476\) | 3.23778 | + | 12.9047i | 0.148404 | + | 0.591486i | ||||
\(477\) | −22.8261 | − | 4.54040i | −1.04514 | − | 0.207891i | ||||
\(478\) | 28.9132 | − | 9.55784i | 1.32246 | − | 0.437165i | ||||
\(479\) | − | 32.7793i | − | 1.49772i | −0.662727 | − | 0.748861i | \(-0.730601\pi\) | ||
0.662727 | − | 0.748861i | \(-0.269399\pi\) | |||||||
\(480\) | −39.7829 | + | 8.60691i | −1.81583 | + | 0.392850i | ||||
\(481\) | − | 1.57733i | − | 0.0719200i | ||||||
\(482\) | −1.14751 | − | 3.47131i | −0.0522678 | − | 0.158114i | ||||
\(483\) | −16.2453 | − | 3.23140i | −0.739189 | − | 0.147034i | ||||
\(484\) | 9.51044 | + | 5.69532i | 0.432293 | + | 0.258878i | ||||
\(485\) | 2.83009 | + | 1.20155i | 0.128508 | + | 0.0545594i | ||||
\(486\) | 5.55904 | + | 44.9996i | 0.252163 | + | 2.04122i | ||||
\(487\) | −38.0016 | + | 15.7408i | −1.72202 | + | 0.713282i | −0.722250 | + | 0.691632i | \(0.756892\pi\) |
−0.999766 | + | 0.0216500i | \(0.993108\pi\) | |||||||
\(488\) | 17.4831 | + | 0.419002i | 0.791421 | + | 0.0189673i | ||||
\(489\) | 24.1922 | − | 58.4051i | 1.09401 | − | 2.64117i | ||||
\(490\) | 1.54341 | − | 18.7255i | 0.0697242 | − | 0.845932i | ||||
\(491\) | 25.9537 | − | 5.16252i | 1.17128 | − | 0.232981i | 0.429145 | − | 0.903236i | \(-0.358815\pi\) |
0.742131 | + | 0.670255i | \(0.233815\pi\) | |||||||
\(492\) | −3.24726 | − | 65.5801i | −0.146398 | − | 2.95658i | ||||
\(493\) | 19.1578 | + | 28.6716i | 0.862822 | + | 1.29130i | ||||
\(494\) | 4.49603 | + | 5.21010i | 0.202286 | + | 0.234414i | ||||
\(495\) | 37.6494 | − | 55.2869i | 1.69222 | − | 2.48496i | ||||
\(496\) | 19.6851 | + | 5.95472i | 0.883885 | + | 0.267375i | ||||
\(497\) | −1.02028 | − | 1.02028i | −0.0457657 | − | 0.0457657i | ||||
\(498\) | −1.07841 | + | 14.6583i | −0.0483245 | + | 0.656856i | ||||
\(499\) | −10.8618 | − | 16.2558i | −0.486241 | − | 0.727711i | 0.504510 | − | 0.863406i | \(-0.331673\pi\) |
−0.990751 | + | 0.135695i | \(0.956673\pi\) | |||||||
\(500\) | 11.9906 | − | 18.8739i | 0.536237 | − | 0.844067i | ||||
\(501\) | −13.5443 | − | 68.0919i | −0.605115 | − | 3.04212i | ||||
\(502\) | 20.3817 | + | 35.9624i | 0.909678 | + | 1.60508i | ||||
\(503\) | 16.6229 | − | 40.1311i | 0.741177 | − | 1.78936i | 0.140149 | − | 0.990130i | \(-0.455242\pi\) |
0.601028 | − | 0.799228i | \(-0.294758\pi\) | |||||||
\(504\) | 3.67104 | + | 21.0838i | 0.163521 | + | 0.939149i | ||||
\(505\) | 16.7336 | + | 25.5270i | 0.744634 | + | 1.13594i | ||||
\(506\) | 22.6915 | + | 17.7015i | 1.00876 | + | 0.786928i | ||||
\(507\) | 6.25419 | + | 4.17891i | 0.277758 | + | 0.185592i | ||||
\(508\) | −14.9841 | + | 11.1220i | −0.664811 | + | 0.493457i | ||||
\(509\) | 5.27757 | + | 1.04977i | 0.233924 | + | 0.0465304i | 0.310660 | − | 0.950521i | \(-0.399450\pi\) |
−0.0767361 | + | 0.997051i | \(0.524450\pi\) | |||||||
\(510\) | −63.2622 | − | 18.0945i | −2.80130 | − | 0.801240i | ||||
\(511\) | −4.91961 | −0.217631 | ||||||||
\(512\) | −19.6683 | + | 11.1874i | −0.869225 | + | 0.494417i | ||||
\(513\) | 17.4116i | 0.768742i | ||||||||
\(514\) | −26.7796 | − | 13.4732i | −1.18120 | − | 0.594279i | ||||
\(515\) | 3.97172 | + | 0.0349519i | 0.175015 | + | 0.00154017i | ||||
\(516\) | 6.04675 | + | 8.14648i | 0.266193 | + | 0.358629i | ||||
\(517\) | −12.0570 | − | 8.05620i | −0.530265 | − | 0.354311i | ||||
\(518\) | 0.360424 | − | 0.462026i | 0.0158361 | − | 0.0203003i | ||||
\(519\) | 15.6654 | − | 6.48884i | 0.687637 | − | 0.284828i | ||||
\(520\) | −23.1817 | + | 8.72401i | −1.01659 | + | 0.382573i | ||||
\(521\) | 21.3024 | + | 8.82375i | 0.933276 | + | 0.386575i | 0.796920 | − | 0.604085i | \(-0.206461\pi\) |
0.136355 | + | 0.990660i | \(0.456461\pi\) | |||||||
\(522\) | 27.3490 | + | 48.2559i | 1.19703 | + | 2.11211i | ||||
\(523\) | 32.0632 | − | 6.37777i | 1.40203 | − | 0.278881i | 0.564571 | − | 0.825385i | \(-0.309042\pi\) |
0.837457 | + | 0.546504i | \(0.184042\pi\) | |||||||
\(524\) | 0.881616 | + | 1.86215i | 0.0385136 | + | 0.0813485i | ||||
\(525\) | −13.5989 | − | 9.43686i | −0.593505 | − | 0.411858i | ||||
\(526\) | −0.459375 | − | 0.0337959i | −0.0200297 | − | 0.00147357i | ||||
\(527\) | 23.5085 | + | 23.5085i | 1.02405 | + | 1.02405i | ||||
\(528\) | 15.1580 | − | 50.1094i | 0.659669 | − | 2.18073i | ||||
\(529\) | 1.43798 | + | 1.43798i | 0.0625210 | + | 0.0625210i | ||||
\(530\) | 6.22412 | − | 7.83550i | 0.270359 | − | 0.340352i | ||||
\(531\) | −33.6745 | + | 22.5006i | −1.46135 | + | 0.976442i | ||||
\(532\) | 0.126438 | + | 2.55348i | 0.00548178 | + | 0.110708i | ||||
\(533\) | −7.79504 | − | 39.1883i | −0.337641 | − | 1.69743i | ||||
\(534\) | 4.86763 | − | 17.6027i | 0.210643 | − | 0.761741i | ||||
\(535\) | −1.04761 | + | 5.03474i | −0.0452922 | + | 0.217671i | ||||
\(536\) | −0.866034 | + | 36.1357i | −0.0374070 | + | 1.56083i | ||||
\(537\) | −30.7113 | + | 12.7211i | −1.32529 | + | 0.548954i | ||||
\(538\) | −28.8718 | + | 3.56669i | −1.24475 | + | 0.153771i | ||||
\(539\) | 20.0934 | + | 13.4260i | 0.865483 | + | 0.578297i | ||||
\(540\) | −58.8247 | − | 21.6077i | −2.53141 | − | 0.929847i | ||||
\(541\) | 1.91555 | − | 9.63010i | 0.0823558 | − | 0.414030i | −0.917511 | − | 0.397710i | \(-0.869805\pi\) |
0.999867 | − | 0.0163201i | \(-0.00519508\pi\) | |||||||
\(542\) | 4.06294 | + | 12.2907i | 0.174518 | + | 0.527931i | ||||
\(543\) | 56.4554 | 2.42273 | ||||||||
\(544\) | −36.5666 | + | 0.933158i | −1.56778 | + | 0.0400088i | ||||
\(545\) | 14.4499 | − | 2.74231i | 0.618967 | − | 0.117468i | ||||
\(546\) | 5.75480 | + | 17.4087i | 0.246283 | + | 0.745023i | ||||
\(547\) | 2.77617 | + | 0.552214i | 0.118700 | + | 0.0236110i | 0.254083 | − | 0.967182i | \(-0.418226\pi\) |
−0.135383 | + | 0.990793i | \(0.543226\pi\) | |||||||
\(548\) | 32.7968 | − | 8.22869i | 1.40101 | − | 0.351512i | ||||
\(549\) | 37.8102 | + | 25.2640i | 1.61370 | + | 1.07824i | ||||
\(550\) | 13.7380 | + | 25.2666i | 0.585792 | + | 1.07737i | ||||
\(551\) | 2.53574 | + | 6.12183i | 0.108026 | + | 0.260799i | ||||
\(552\) | 18.4297 | − | 41.6422i | 0.784421 | − | 1.77241i | ||||
\(553\) | −7.75004 | − | 3.21017i | −0.329565 | − | 0.136510i | ||||
\(554\) | 26.2498 | + | 7.25882i | 1.11525 | + | 0.308397i | ||||
\(555\) | 1.08541 | + | 2.68706i | 0.0460732 | + | 0.114059i | ||||
\(556\) | −9.21223 | + | 10.1721i | −0.390686 | + | 0.431391i | ||||
\(557\) | 21.6600 | + | 32.4165i | 0.917763 | + | 1.37353i | 0.927599 | + | 0.373578i | \(0.121869\pi\) |
−0.00983599 | + | 0.999952i | \(0.503131\pi\) | |||||||
\(558\) | 34.9379 | + | 40.4868i | 1.47904 | + | 1.71394i | ||||
\(559\) | 4.36547 | + | 4.36547i | 0.184640 | + | 0.184640i | ||||
\(560\) | −8.78378 | − | 2.74169i | −0.371183 | − | 0.115857i | ||||
\(561\) | 59.8422 | − | 59.8422i | 2.52654 | − | 2.52654i | ||||
\(562\) | −4.97930 | − | 0.366324i | −0.210039 | − | 0.0154524i | ||||
\(563\) | 26.0775 | − | 17.4244i | 1.09904 | − | 0.734352i | 0.132577 | − | 0.991173i | \(-0.457675\pi\) |
0.966459 | + | 0.256820i | \(0.0826749\pi\) | |||||||
\(564\) | −7.72155 | + | 21.6067i | −0.325136 | + | 0.909806i | ||||
\(565\) | −1.00413 | − | 2.48583i | −0.0422439 | − | 0.104579i | ||||
\(566\) | −22.4525 | − | 39.6163i | −0.943750 | − | 1.66520i | ||||
\(567\) | −9.06596 | + | 21.8872i | −0.380735 | + | 0.919175i | ||||
\(568\) | 3.35024 | − | 2.12425i | 0.140573 | − | 0.0891315i | ||||
\(569\) | 13.2802 | − | 5.50084i | 0.556735 | − | 0.230607i | −0.0865322 | − | 0.996249i | \(-0.527579\pi\) |
0.643267 | + | 0.765642i | \(0.277579\pi\) | |||||||
\(570\) | −11.2445 | − | 5.78181i | −0.470979 | − | 0.242173i | ||||
\(571\) | 20.8245 | − | 31.1660i | 0.871477 | − | 1.30426i | −0.0800812 | − | 0.996788i | \(-0.525518\pi\) |
0.951558 | − | 0.307469i | \(-0.0994820\pi\) | |||||||
\(572\) | 4.66222 | − | 31.5144i | 0.194937 | − | 1.31768i | ||||
\(573\) | −1.33583 | + | 6.71569i | −0.0558052 | + | 0.280552i | ||||
\(574\) | 6.67135 | − | 13.2601i | 0.278457 | − | 0.553466i | ||||
\(575\) | 9.16527 | + | 23.2774i | 0.382218 | + | 0.970735i | ||||
\(576\) | −58.7702 | − | 2.81861i | −2.44876 | − | 0.117442i | ||||
\(577\) | − | 12.6059i | − | 0.524791i | −0.964960 | − | 0.262396i | \(-0.915487\pi\) | ||
0.964960 | − | 0.262396i | \(-0.0845126\pi\) | |||||||
\(578\) | −31.3458 | − | 15.7705i | −1.30381 | − | 0.655968i | ||||
\(579\) | −17.3087 | − | 3.44292i | −0.719326 | − | 0.143083i | ||||
\(580\) | −23.8293 | + | 0.969802i | −0.989457 | + | 0.0402689i | ||||
\(581\) | −1.84602 | + | 2.76276i | −0.0765858 | + | 0.114619i | ||||
\(582\) | 4.93366 | + | 3.84872i | 0.204507 | + | 0.159535i | ||||
\(583\) | 4.92533 | + | 11.8908i | 0.203986 | + | 0.492466i | ||||
\(584\) | 2.95576 | − | 13.1985i | 0.122310 | − | 0.546159i | ||||
\(585\) | −63.0557 | − | 13.1204i | −2.60703 | − | 0.542463i | ||||
\(586\) | 4.82355 | + | 8.51090i | 0.199259 | + | 0.351582i | ||||
\(587\) | 15.6402 | − | 3.11103i | 0.645540 | − | 0.128406i | 0.138546 | − | 0.990356i | \(-0.455757\pi\) |
0.506993 | + | 0.861950i | \(0.330757\pi\) | |||||||
\(588\) | 12.8682 | − | 36.0084i | 0.530678 | − | 1.48496i | ||||
\(589\) | 3.54927 | + | 5.31186i | 0.146245 | + | 0.218871i | ||||
\(590\) | −1.98280 | − | 17.3004i | −0.0816307 | − | 0.712244i | ||||
\(591\) | −47.2629 | + | 47.2629i | −1.94414 | + | 1.94414i | ||||
\(592\) | 1.02299 | + | 1.24455i | 0.0420448 | + | 0.0511508i | ||||
\(593\) | −22.7187 | + | 22.7187i | −0.932946 | + | 0.932946i | −0.997889 | − | 0.0649431i | \(-0.979313\pi\) |
0.0649431 | + | 0.997889i | \(0.479313\pi\) | |||||||
\(594\) | 61.0224 | − | 52.6590i | 2.50378 | − | 2.16062i | ||||
\(595\) | −10.4253 | − | 10.6104i | −0.427396 | − | 0.434985i | ||||
\(596\) | −27.8277 | − | 25.2019i | −1.13987 | − | 1.03231i | ||||
\(597\) | −3.34535 | − | 16.8182i | −0.136916 | − | 0.688324i | ||||
\(598\) | 7.38573 | − | 26.7088i | 0.302025 | − | 1.09220i | ||||
\(599\) | 3.71297 | − | 8.96389i | 0.151708 | − | 0.366255i | −0.829694 | − | 0.558218i | \(-0.811485\pi\) |
0.981402 | + | 0.191963i | \(0.0614854\pi\) | |||||||
\(600\) | 33.4880 | − | 30.8139i | 1.36714 | − | 1.25797i | ||||
\(601\) | −2.33588 | − | 5.63932i | −0.0952826 | − | 0.230033i | 0.869051 | − | 0.494723i | \(-0.164730\pi\) |
−0.964334 | + | 0.264690i | \(0.914730\pi\) | |||||||
\(602\) | 0.281196 | + | 2.27624i | 0.0114607 | + | 0.0927728i | ||||
\(603\) | −52.2181 | + | 78.1500i | −2.12649 | + | 3.18251i | ||||
\(604\) | 12.0945 | − | 3.03449i | 0.492116 | − | 0.123472i | ||||
\(605\) | −12.3933 | − | 0.109064i | −0.503860 | − | 0.00443407i | ||||
\(606\) | 19.4970 | + | 58.9798i | 0.792011 | + | 2.39589i | ||||
\(607\) | −26.3768 | −1.07060 | −0.535301 | − | 0.844661i | \(-0.679802\pi\) | ||||
−0.535301 | + | 0.844661i | \(0.679802\pi\) | |||||||
\(608\) | −6.92655 | − | 1.19495i | −0.280909 | − | 0.0484616i | ||||
\(609\) | 17.6542i | 0.715385i | ||||||||
\(610\) | −17.0945 | + | 9.49052i | −0.692136 | + | 0.384260i | ||||
\(611\) | −2.72397 | + | 13.6943i | −0.110200 | + | 0.554012i | ||||
\(612\) | −81.6013 | − | 48.8669i | −3.29854 | − | 1.97533i | ||||
\(613\) | −11.9185 | + | 17.8373i | −0.481383 | + | 0.720440i | −0.990080 | − | 0.140505i | \(-0.955127\pi\) |
0.508697 | + | 0.860946i | \(0.330127\pi\) | |||||||
\(614\) | 2.00622 | + | 16.2401i | 0.0809644 | + | 0.655395i | ||||
\(615\) | 40.2461 | + | 61.3953i | 1.62288 | + | 2.47570i | ||||
\(616\) | 8.56679 | − | 8.16577i | 0.345166 | − | 0.329008i | ||||
\(617\) | −16.2501 | − | 6.73100i | −0.654203 | − | 0.270980i | 0.0307937 | − | 0.999526i | \(-0.490197\pi\) |
−0.684997 | + | 0.728546i | \(0.740197\pi\) | |||||||
\(618\) | 7.79101 | + | 2.15444i | 0.313400 | + | 0.0866641i | ||||
\(619\) | −32.4725 | + | 6.45918i | −1.30518 | + | 0.259616i | −0.798227 | − | 0.602357i | \(-0.794228\pi\) |
−0.506953 | + | 0.861974i | \(0.669228\pi\) | |||||||
\(620\) | −22.3506 | + | 5.39914i | −0.897622 | + | 0.216835i | ||||
\(621\) | 58.2957 | − | 38.9520i | 2.33933 | − | 1.56309i | ||||
\(622\) | −1.22351 | + | 1.05582i | −0.0490582 | + | 0.0423345i | ||||
\(623\) | 2.91947 | − | 2.91947i | 0.116966 | − | 0.116966i | ||||
\(624\) | −50.1622 | + | 4.97987i | −2.00810 | + | 0.199354i | ||||
\(625\) | −0.879815 | + | 24.9845i | −0.0351926 | + | 0.999381i | ||||
\(626\) | 3.56963 | + | 0.262615i | 0.142671 | + | 0.0104962i | ||||
\(627\) | 13.5216 | − | 9.03486i | 0.540002 | − | 0.360818i | ||||
\(628\) | 12.2405 | + | 25.8544i | 0.488449 | + | 1.03170i | ||||
\(629\) | 0.508078 | + | 2.55428i | 0.0202584 | + | 0.101846i | ||||
\(630\) | −15.4720 | − | 18.2516i | −0.616420 | − | 0.727162i | ||||
\(631\) | 8.61594 | + | 3.56884i | 0.342995 | + | 0.142073i | 0.547530 | − | 0.836786i | \(-0.315568\pi\) |
−0.204535 | + | 0.978859i | \(0.565568\pi\) | |||||||
\(632\) | 13.2687 | − | 18.8634i | 0.527800 | − | 0.750346i | ||||
\(633\) | −14.1365 | − | 34.1286i | −0.561877 | − | 1.35649i | ||||
\(634\) | −38.1572 | − | 29.7662i | −1.51541 | − | 1.18217i | ||||
\(635\) | 8.15333 | − | 19.2041i | 0.323555 | − | 0.762093i | ||||
\(636\) | 16.3529 | − | 12.1380i | 0.648434 | − | 0.481301i | ||||
\(637\) | 4.53959 | − | 22.8221i | 0.179865 | − | 0.904244i | ||||
\(638\) | 13.7861 | − | 27.4016i | 0.545799 | − | 1.08484i | ||||
\(639\) | 10.3151 | 0.408061 | ||||||||
\(640\) | 12.6329 | − | 21.9183i | 0.499359 | − | 0.866395i | ||||
\(641\) | −25.3736 | −1.00220 | −0.501099 | − | 0.865390i | \(-0.667071\pi\) | ||||
−0.501099 | + | 0.865390i | \(0.667071\pi\) | |||||||
\(642\) | −4.70381 | + | 9.34938i | −0.185645 | + | 0.368991i | ||||
\(643\) | −5.77084 | + | 29.0120i | −0.227580 | + | 1.14412i | 0.682882 | + | 0.730528i | \(0.260726\pi\) |
−0.910462 | + | 0.413593i | \(0.864274\pi\) | |||||||
\(644\) | 8.26644 | − | 6.13579i | 0.325743 | − | 0.241784i | ||||
\(645\) | −10.4408 | − | 4.43277i | −0.411107 | − | 0.174540i | ||||
\(646\) | −8.95899 | − | 6.98887i | −0.352487 | − | 0.274973i | ||||
\(647\) | 6.45765 | + | 15.5901i | 0.253876 | + | 0.612912i | 0.998510 | − | 0.0545612i | \(-0.0173760\pi\) |
−0.744634 | + | 0.667473i | \(0.767376\pi\) | |||||||
\(648\) | −53.2728 | − | 37.4726i | −2.09276 | − | 1.47206i | ||||
\(649\) | 20.6922 | + | 8.57100i | 0.812241 | + | 0.336441i | ||||
\(650\) | 17.4147 | − | 21.5315i | 0.683061 | − | 0.844533i | ||||
\(651\) | 3.32062 | + | 16.6939i | 0.130145 | + | 0.654284i | ||||
\(652\) | 16.8130 | + | 35.5124i | 0.658447 | + | 1.39077i | ||||
\(653\) | −25.0107 | + | 16.7116i | −0.978745 | + | 0.653976i | −0.938524 | − | 0.345215i | \(-0.887806\pi\) |
−0.0402208 | + | 0.999191i | \(0.512806\pi\) | |||||||
\(654\) | 29.8522 | + | 2.19620i | 1.16731 | + | 0.0858784i | ||||
\(655\) | −1.90395 | − | 1.29656i | −0.0743934 | − | 0.0506606i | ||||
\(656\) | 31.5665 | + | 25.8650i | 1.23247 | + | 1.00986i | ||||
\(657\) | 24.8690 | − | 24.8690i | 0.970230 | − | 0.970230i | ||||
\(658\) | −3.92709 | + | 3.38886i | −0.153094 | + | 0.132111i | ||||
\(659\) | −20.2518 | + | 13.5318i | −0.788898 | + | 0.527125i | −0.883523 | − | 0.468388i | \(-0.844835\pi\) |
0.0946246 | + | 0.995513i | \(0.469835\pi\) | |||||||
\(660\) | 13.7438 | + | 56.8947i | 0.534977 | + | 2.21462i | ||||
\(661\) | −21.6586 | + | 4.30816i | −0.842422 | + | 0.167568i | −0.597394 | − | 0.801948i | \(-0.703797\pi\) |
−0.245028 | + | 0.969516i | \(0.578797\pi\) | |||||||
\(662\) | −46.6588 | − | 12.9025i | −1.81345 | − | 0.501469i | ||||
\(663\) | −75.2857 | − | 31.1844i | −2.92385 | − | 1.21110i | ||||
\(664\) | −6.30294 | − | 6.61248i | −0.244602 | − | 0.256614i | ||||
\(665\) | −1.56705 | − | 2.39054i | −0.0607678 | − | 0.0927011i | ||||
\(666\) | 0.513603 | + | 4.15754i | 0.0199017 | + | 0.161101i | ||||
\(667\) | 14.8237 | − | 22.1852i | 0.573975 | − | 0.859014i | ||||
\(668\) | 37.0197 | + | 22.1692i | 1.43234 | + | 0.857754i | ||||
\(669\) | 12.7612 | − | 64.1550i | 0.493378 | − | 2.48038i | ||||
\(670\) | −19.6159 | − | 35.3326i | −0.757830 | − | 1.36502i | ||||
\(671\) | − | 25.1478i | − | 0.970821i | ||||||
\(672\) | −15.8313 | − | 10.0035i | −0.610705 | − | 0.385895i | ||||
\(673\) | −15.8308 | −0.610231 | −0.305116 | − | 0.952315i | \(-0.598695\pi\) | ||||
−0.305116 | + | 0.952315i | \(0.598695\pi\) | |||||||
\(674\) | 8.55002 | + | 25.8644i | 0.329334 | + | 0.996260i | ||||
\(675\) | 68.9483 | − | 12.4574i | 2.65382 | − | 0.479487i | ||||
\(676\) | −4.53450 | + | 1.13770i | −0.174404 | + | 0.0437578i | ||||
\(677\) | −13.4494 | + | 20.1284i | −0.516901 | + | 0.773597i | −0.994473 | − | 0.104996i | \(-0.966517\pi\) |
0.477572 | + | 0.878593i | \(0.341517\pi\) | |||||||
\(678\) | −0.668949 | − | 5.41505i | −0.0256908 | − | 0.207964i | ||||
\(679\) | 0.541335 | + | 1.30690i | 0.0207745 | + | 0.0501541i | ||||
\(680\) | 34.7297 | − | 21.5946i | 1.33182 | − | 0.828114i | ||||
\(681\) | −3.05777 | + | 7.38212i | −0.117174 | + | 0.282883i | ||||
\(682\) | 7.88219 | − | 28.5041i | 0.301825 | − | 1.09148i | ||||
\(683\) | 4.11636 | + | 20.6943i | 0.157508 | + | 0.791847i | 0.976075 | + | 0.217435i | \(0.0697691\pi\) |
−0.818567 | + | 0.574412i | \(0.805231\pi\) | |||||||
\(684\) | −13.5472 | − | 12.2689i | −0.517989 | − | 0.469112i | ||||
\(685\) | −26.9660 | + | 26.4955i | −1.03032 | + | 1.01234i | ||||
\(686\) | 14.2551 | − | 12.3014i | 0.544262 | − | 0.469668i | ||||
\(687\) | 6.06944 | − | 6.06944i | 0.231563 | − | 0.231563i | ||||
\(688\) | −6.27574 | − | 0.613189i | −0.239261 | − | 0.0233776i | ||||
\(689\) | 8.76304 | − | 8.76304i | 0.333845 | − | 0.333845i | ||||
\(690\) | 5.79724 | + | 50.5821i | 0.220697 | + | 1.92563i | ||||
\(691\) | 3.59956 | + | 5.38712i | 0.136934 | + | 0.204936i | 0.893598 | − | 0.448867i | \(-0.148172\pi\) |
−0.756665 | + | 0.653803i | \(0.773172\pi\) | |||||||
\(692\) | −3.54654 | + | 9.92406i | −0.134819 | + | 0.377256i | ||||
\(693\) | 30.1833 | − | 6.00383i | 1.14657 | − | 0.228067i | ||||
\(694\) | 5.70160 | + | 10.0602i | 0.216430 | + | 0.381879i | ||||
\(695\) | 3.12566 | − | 15.0217i | 0.118563 | − | 0.569804i | ||||
\(696\) | −47.3634 | − | 10.6069i | −1.79531 | − | 0.402052i | ||||
\(697\) | 25.2462 | + | 60.9496i | 0.956266 | + | 2.30863i | ||||
\(698\) | 21.8971 | + | 17.0818i | 0.828818 | + | 0.646557i | ||||
\(699\) | −11.2651 | + | 16.8595i | −0.426087 | + | 0.637684i | ||||
\(700\) | 10.0211 | − | 2.32761i | 0.378761 | − | 0.0879755i | ||||
\(701\) | −22.5729 | − | 4.49003i | −0.852567 | − | 0.169586i | −0.250584 | − | 0.968095i | \(-0.580623\pi\) |
−0.601983 | + | 0.798509i | \(0.705623\pi\) | |||||||
\(702\) | −69.3305 | − | 34.8812i | −2.61671 | − | 1.31651i | ||||
\(703\) | 0.500444i | 0.0188746i | ||||||||
\(704\) | 16.7604 | + | 27.8894i | 0.631683 | + | 1.05112i | ||||
\(705\) | −4.78310 | − | 25.2034i | −0.180142 | − | 0.949215i | ||||
\(706\) | −12.2498 | + | 24.3479i | −0.461026 | + | 0.916344i | ||||
\(707\) | −2.73968 | + | 13.7733i | −0.103036 | + | 0.517998i | ||||
\(708\) | 5.18645 | − | 35.0580i | 0.194919 | − | 1.31756i | ||||
\(709\) | −5.79275 | + | 8.66946i | −0.217551 | + | 0.325588i | −0.924153 | − | 0.382023i | \(-0.875227\pi\) |
0.706602 | + | 0.707612i | \(0.250227\pi\) | |||||||
\(710\) | −2.02812 | + | 3.94429i | −0.0761139 | + | 0.148026i | ||||
\(711\) | 55.4046 | − | 22.9493i | 2.07783 | − | 0.860667i | ||||
\(712\) | 6.07842 | + | 9.58652i | 0.227798 | + | 0.359270i | ||||
\(713\) | 9.84444 | − | 23.7666i | 0.368677 | − | 0.890066i | ||||
\(714\) | −14.9267 | − | 26.3374i | −0.558619 | − | 0.985654i | ||||
\(715\) | 13.3402 | + | 33.0251i | 0.498895 | + | 1.23507i | ||||
\(716\) | 6.95282 | − | 19.4556i | 0.259839 | − | 0.727091i | ||||
\(717\) | −57.6124 | + | 38.4954i | −2.15157 | + | 1.43764i | ||||
\(718\) | −8.17552 | − | 0.601468i | −0.305108 | − | 0.0224466i | ||||
\(719\) | 35.3592 | − | 35.3592i | 1.31867 | − | 1.31867i | 0.403850 | − | 0.914825i | \(-0.367672\pi\) |
0.914825 | − | 0.403850i | \(-0.132328\pi\) | |||||||
\(720\) | 58.2620 | − | 30.5432i | 2.17130 | − | 1.13828i | ||||
\(721\) | 1.29217 | + | 1.29217i | 0.0481229 | + | 0.0481229i | ||||
\(722\) | 16.1283 | + | 18.6898i | 0.600232 | + | 0.695563i | ||||
\(723\) | 4.62175 | + | 6.91693i | 0.171885 | + | 0.257244i | ||||
\(724\) | −23.5540 | + | 26.0081i | −0.875377 | + | 0.966584i | ||||
\(725\) | 22.4276 | − | 14.4212i | 0.832939 | − | 0.535592i | ||||
\(726\) | −24.3110 | − | 6.72269i | −0.902267 | − | 0.249502i | ||||
\(727\) | −7.05234 | − | 2.92118i | −0.261557 | − | 0.108340i | 0.248052 | − | 0.968747i | \(-0.420210\pi\) |
−0.509608 | + | 0.860406i | \(0.670210\pi\) | |||||||
\(728\) | −10.4209 | − | 4.61200i | −0.386224 | − | 0.170932i | ||||
\(729\) | −13.0444 | − | 31.4919i | −0.483124 | − | 1.16636i | ||||
\(730\) | 4.61972 | + | 14.3990i | 0.170984 | + | 0.532930i | ||||
\(731\) | −8.47550 | − | 5.66315i | −0.313478 | − | 0.209459i | ||||
\(732\) | −38.5958 | + | 9.68366i | −1.42654 | + | 0.357918i | ||||
\(733\) | 13.7148 | + | 2.72804i | 0.506568 | + | 0.100763i | 0.441757 | − | 0.897135i | \(-0.354356\pi\) |
0.0648111 | + | 0.997898i | \(0.479356\pi\) | |||||||
\(734\) | 0.929189 | + | 2.81087i | 0.0342970 | + | 0.103751i | ||||
\(735\) | 7.97122 | + | 42.0024i | 0.294023 | + | 1.54928i | ||||
\(736\) | 11.4948 | + | 25.8640i | 0.423702 | + | 0.953359i | ||||
\(737\) | 51.9780 | 1.91463 | ||||||||
\(738\) | 33.3066 | + | 100.755i | 1.22603 | + | 3.70884i | ||||
\(739\) | 3.21068 | − | 16.1412i | 0.118107 | − | 0.593762i | −0.875720 | − | 0.482819i | \(-0.839613\pi\) |
0.993827 | − | 0.110943i | \(-0.0353871\pi\) | |||||||
\(740\) | −1.69074 | − | 0.621047i | −0.0621527 | − | 0.0228301i | ||||
\(741\) | −13.0198 | − | 8.69954i | −0.478294 | − | 0.319586i | ||||
\(742\) | 4.56923 | − | 0.564460i | 0.167742 | − | 0.0207220i | ||||
\(743\) | 14.6834 | − | 6.08207i | 0.538682 | − | 0.223129i | −0.0967189 | − | 0.995312i | \(-0.530835\pi\) |
0.635401 | + | 0.772182i | \(0.280835\pi\) | |||||||
\(744\) | −46.7820 | − | 1.12119i | −1.71511 | − | 0.0411046i | ||||
\(745\) | 41.0947 | + | 8.55085i | 1.50559 | + | 0.313279i | ||||
\(746\) | 3.82482 | − | 13.8316i | 0.140037 | − | 0.506410i | ||||
\(747\) | −4.63420 | − | 23.2977i | −0.169556 | − | 0.852418i | ||||
\(748\) | 2.60133 | + | 52.5353i | 0.0951142 | + | 1.92088i | ||||
\(749\) | −1.96728 | + | 1.31450i | −0.0718829 | + | 0.0480306i | ||||
\(750\) | −14.8503 | + | 48.6636i | −0.542257 | + | 1.77694i | ||||
\(751\) | 23.4383 | + | 23.4383i | 0.855275 | + | 0.855275i | 0.990777 | − | 0.135502i | \(-0.0432648\pi\) |
−0.135502 | + | 0.990777i | \(0.543265\pi\) | |||||||
\(752\) | −6.73233 | − | 12.5718i | −0.245503 | − | 0.458447i | ||||
\(753\) | −66.5078 | − | 66.5078i | −2.42368 | − | 2.42368i | ||||
\(754\) | −29.4561 | − | 2.16707i | −1.07273 | − | 0.0789199i | ||||
\(755\) | −9.94423 | + | 9.77074i | −0.361908 | + | 0.355593i | ||||
\(756\) | −12.3376 | − | 26.0595i | −0.448715 | − | 0.947776i | ||||
\(757\) | 37.2124 | − | 7.40200i | 1.35251 | − | 0.269030i | 0.534952 | − | 0.844882i | \(-0.320330\pi\) |
0.817554 | + | 0.575852i | \(0.195330\pi\) | |||||||
\(758\) | −10.8645 | − | 19.1699i | −0.394617 | − | 0.696282i | ||||
\(759\) | −60.4991 | − | 25.0596i | −2.19598 | − | 0.909604i | ||||
\(760\) | 7.35493 | − | 2.76789i | 0.266792 | − | 0.100402i | ||||
\(761\) | −46.1357 | + | 19.1100i | −1.67242 | + | 0.692738i | −0.998920 | − | 0.0464530i | \(-0.985208\pi\) |
−0.673496 | + | 0.739191i | \(0.735208\pi\) | |||||||
\(762\) | 26.1163 | − | 33.4783i | 0.946094 | − | 1.21279i | ||||
\(763\) | 5.62645 | + | 3.75947i | 0.203691 | + | 0.136102i | ||||
\(764\) | −2.53648 | − | 3.41728i | −0.0917667 | − | 0.123633i | ||||
\(765\) | 106.337 | + | 0.935787i | 3.84462 | + | 0.0338334i | ||||
\(766\) | 12.9016 | + | 6.49096i | 0.466152 | + | 0.234528i | ||||
\(767\) | − | 21.5658i | − | 0.778697i | ||||||
\(768\) | 36.3495 | − | 36.4626i | 1.31165 | − | 1.31573i | ||||
\(769\) | −4.26958 | −0.153965 | −0.0769825 | − | 0.997032i | \(-0.524529\pi\) | ||||
−0.0769825 | + | 0.997032i | \(0.524529\pi\) | |||||||
\(770\) | −3.63877 | + | 12.7219i | −0.131132 | + | 0.458465i | ||||
\(771\) | 66.9006 | + | 13.3074i | 2.40937 | + | 0.479253i | ||||
\(772\) | 8.80754 | − | 6.53741i | 0.316990 | − | 0.235287i | ||||
\(773\) | −15.2143 | − | 10.1659i | −0.547220 | − | 0.365640i | 0.251019 | − | 0.967982i | \(-0.419234\pi\) |
−0.798238 | + | 0.602342i | \(0.794234\pi\) | |||||||
\(774\) | −12.9280 | − | 10.0851i | −0.464688 | − | 0.362501i | ||||
\(775\) | 18.4950 | − | 17.8552i | 0.664362 | − | 0.641378i | ||||
\(776\) | −3.83144 | + | 0.667115i | −0.137541 | + | 0.0239480i | ||||
\(777\) | −0.510243 | + | 1.23184i | −0.0183049 | + | 0.0441919i | ||||
\(778\) | −21.1601 | − | 37.3360i | −0.758627 | − | 1.33856i | ||||
\(779\) | 2.47316 | + | 12.4334i | 0.0886100 | + | 0.445473i | ||||
\(780\) | 45.5486 | − | 33.1909i | 1.63090 | − | 1.18843i | ||||
\(781\) | −3.16921 | − | 4.74306i | −0.113403 | − | 0.169720i | ||||
\(782\) | −3.35700 | + | 45.6305i | −0.120046 | + | 1.63174i | ||||
\(783\) | −52.8407 | − | 52.8407i | −1.88837 | − | 1.88837i | ||||
\(784\) | 11.2197 | + | 20.9514i | 0.400703 | + | 0.748264i | ||||
\(785\) | −26.4347 | − | 18.0016i | −0.943494 | − | 0.642503i | ||||
\(786\) | −3.06275 | − | 3.54918i | −0.109245 | − | 0.126595i | ||||
\(787\) | 3.96783 | + | 5.93828i | 0.141438 | + | 0.211677i | 0.895425 | − | 0.445213i | \(-0.146872\pi\) |
−0.753987 | + | 0.656889i | \(0.771872\pi\) | |||||||
\(788\) | −2.05451 | − | 41.4920i | −0.0731890 | − | 1.47809i | ||||
\(789\) | 1.02794 | − | 0.204470i | 0.0365956 | − | 0.00727932i | ||||
\(790\) | −2.11808 | + | 25.6977i | −0.0753579 | + | 0.914283i | ||||
\(791\) | 0.472031 | − | 1.13958i | 0.0167835 | − | 0.0405190i | ||||
\(792\) | −2.02716 | + | 84.5842i | −0.0720319 | + | 3.00557i | ||||
\(793\) | −22.3712 | + | 9.26647i | −0.794426 | + | 0.329062i | ||||
\(794\) | −5.17414 | − | 41.8840i | −0.183623 | − | 1.48641i | ||||
\(795\) | −8.89815 | + | 20.9584i | −0.315585 | + | 0.743319i | ||||
\(796\) | 9.14361 | + | 5.47565i | 0.324087 | + | 0.194079i | ||||
\(797\) | −24.9293 | − | 4.95874i | −0.883040 | − | 0.175648i | −0.267315 | − | 0.963609i | \(-0.586137\pi\) |
−0.615724 | + | 0.787962i | \(0.711137\pi\) | |||||||
\(798\) | −1.82584 | − | 5.52330i | −0.0646341 | − | 0.195523i | ||||
\(799\) | − | 23.0536i | − | 0.815578i | ||||||
\(800\) | 0.223838 | + | 28.2834i | 0.00791389 | + | 0.999969i | ||||
\(801\) | 29.5162i | 1.04290i | ||||||||
\(802\) | −35.2529 | + | 11.6536i | −1.24482 | + | 0.411502i | ||||
\(803\) | −19.0758 | − | 3.79442i | −0.673172 | − | 0.133902i | ||||
\(804\) | −20.0151 | − | 79.7736i | −0.705880 | − | 2.81340i | ||||
\(805\) | −4.49805 | + | 10.5946i | −0.158535 | + | 0.373410i | ||||
\(806\) | −28.2614 | + | 3.49128i | −0.995465 | + | 0.122975i | ||||
\(807\) | 61.1551 | − | 25.3313i | 2.15276 | − | 0.891703i | ||||
\(808\) | −35.3055 | − | 15.6253i | −1.24204 | − | 0.549695i | ||||
\(809\) | −2.81405 | + | 6.79373i | −0.0989369 | + | 0.238855i | −0.965596 | − | 0.260045i | \(-0.916263\pi\) |
0.866660 | + | 0.498900i | \(0.166263\pi\) | |||||||
\(810\) | 72.5738 | + | 5.98174i | 2.54998 | + | 0.210177i | ||||
\(811\) | 18.9512 | − | 3.76963i | 0.665467 | − | 0.132370i | 0.149213 | − | 0.988805i | \(-0.452326\pi\) |
0.516254 | + | 0.856435i | \(0.327326\pi\) | |||||||
\(812\) | −8.13301 | − | 7.36559i | −0.285413 | − | 0.258481i | ||||
\(813\) | −16.3640 | − | 24.4905i | −0.573911 | − | 0.858918i | ||||
\(814\) | 1.75390 | − | 1.51352i | 0.0614742 | − | 0.0530489i | ||||
\(815\) | −36.3095 | − | 24.7261i | −1.27187 | − | 0.866119i | ||||
\(816\) | 79.6273 | − | 24.2222i | 2.78751 | − | 0.847946i | ||||
\(817\) | −1.38505 | − | 1.38505i | −0.0484566 | − | 0.0484566i | ||||
\(818\) | 26.2846 | + | 1.93374i | 0.919021 | + | 0.0676117i | ||||
\(819\) | −16.4629 | − | 24.6385i | −0.575260 | − | 0.860938i | ||||
\(820\) | −45.0751 | − | 7.07425i | −1.57409 | − | 0.247044i | ||||
\(821\) | 8.73815 | + | 43.9297i | 0.304964 | + | 1.53316i | 0.764281 | + | 0.644883i | \(0.223094\pi\) |
−0.459318 | + | 0.888272i | \(0.651906\pi\) | |||||||
\(822\) | −66.9355 | + | 37.9356i | −2.33464 | + | 1.32316i | ||||
\(823\) | 9.94430 | − | 24.0077i | 0.346636 | − | 0.836854i | −0.650376 | − | 0.759612i | \(-0.725389\pi\) |
0.997012 | − | 0.0772418i | \(-0.0246113\pi\) | |||||||
\(824\) | −4.24303 | + | 2.69033i | −0.147813 | + | 0.0937222i | ||||
\(825\) | −45.4514 | − | 47.0801i | −1.58241 | − | 1.63912i | ||||
\(826\) | 4.92786 | − | 6.31700i | 0.171462 | − | 0.219797i | ||||
\(827\) | 1.02177 | + | 0.682726i | 0.0355305 | + | 0.0237407i | 0.573209 | − | 0.819409i | \(-0.305698\pi\) |
−0.537678 | + | 0.843150i | \(0.680698\pi\) | |||||||
\(828\) | −10.7706 | + | 72.8042i | −0.374304 | + | 2.53012i | ||||
\(829\) | −33.7720 | − | 6.71766i | −1.17295 | − | 0.233314i | −0.430105 | − | 0.902779i | \(-0.641523\pi\) |
−0.742844 | + | 0.669465i | \(0.766523\pi\) | |||||||
\(830\) | 9.81969 | + | 2.80867i | 0.340846 | + | 0.0974904i | ||||
\(831\) | −61.9699 | −2.14971 | ||||||||
\(832\) | 18.6343 | − | 25.1866i | 0.646027 | − | 0.873189i | ||||
\(833\) | 38.4197i | 1.33116i | ||||||||
\(834\) | 14.0343 | − | 27.8948i | 0.485968 | − | 0.965919i | ||||
\(835\) | −48.2415 | − | 0.424534i | −1.66946 | − | 0.0146916i | ||||
\(836\) | −1.47920 | + | 9.99867i | −0.0511591 | + | 0.345811i | ||||
\(837\) | −59.9052 | − | 40.0274i | −2.07063 | − | 1.38355i | ||||
\(838\) | 8.01315 | + | 6.25102i | 0.276810 | + | 0.215938i | ||||
\(839\) | 10.6034 | − | 4.39206i | 0.366069 | − | 0.151631i | −0.192064 | − | 0.981382i | \(-0.561518\pi\) |
0.558132 | + | 0.829752i | \(0.311518\pi\) | |||||||
\(840\) | 20.9262 | + | 0.685819i | 0.722022 | + | 0.0236630i | ||||
\(841\) | 0.518545 | + | 0.214788i | 0.0178809 | + | 0.00740650i | ||||
\(842\) | 29.1180 | − | 16.5026i | 1.00347 | − | 0.568718i | ||||
\(843\) | 11.1421 | − | 2.21631i | 0.383755 | − | 0.0763337i | ||||
\(844\) | 21.6205 | + | 7.72646i | 0.744207 | + | 0.265956i | ||||
\(845\) | 3.72833 | − | 3.66328i | 0.128258 | − | 0.126021i | ||||
\(846\) | 2.72078 | − | 36.9826i | 0.0935425 | − | 1.27149i | ||||
\(847\) | −4.03208 | − | 4.03208i | −0.138544 | − | 0.138544i | ||||
\(848\) | −1.23089 | + | 12.5976i | −0.0422688 | + | 0.432605i | ||||
\(849\) | 73.2653 | + | 73.2653i | 2.51446 | + | 2.51446i | ||||
\(850\) | −21.2653 | + | 40.4770i | −0.729395 | + | 1.38835i | ||||
\(851\) | 1.67553 | − | 1.11955i | 0.0574365 | − | 0.0383778i | ||||
\(852\) | −6.05908 | + | 6.69038i | −0.207581 | + | 0.229209i | ||||
\(853\) | 4.20764 | + | 21.1532i | 0.144067 | + | 0.724273i | 0.983514 | + | 0.180832i | \(0.0578789\pi\) |
−0.839447 | + | 0.543441i | \(0.817121\pi\) | |||||||
\(854\) | −8.67034 | − | 2.39759i | −0.296693 | − | 0.0820440i | ||||
\(855\) | 20.0059 | + | 4.16276i | 0.684187 | + | 0.142363i | ||||
\(856\) | −2.34462 | − | 6.06766i | −0.0801373 | − | 0.207388i | ||||
\(857\) | 13.6064 | − | 5.63595i | 0.464785 | − | 0.192520i | −0.137986 | − | 0.990434i | \(-0.544063\pi\) |
0.602772 | + | 0.797914i | \(0.294063\pi\) | |||||||
\(858\) | 8.88723 | + | 71.9409i | 0.303405 | + | 2.45602i | ||||
\(859\) | 37.6875 | + | 25.1820i | 1.28588 | + | 0.859199i | 0.995223 | − | 0.0976278i | \(-0.0311255\pi\) |
0.290659 | + | 0.956827i | \(0.406125\pi\) | |||||||
\(860\) | 6.39817 | − | 2.96051i | 0.218176 | − | 0.100953i | ||||
\(861\) | −6.58922 | + | 33.1262i | −0.224560 | + | 1.12894i | ||||
\(862\) | 13.7481 | − | 4.54471i | 0.468262 | − | 0.154794i | ||||
\(863\) | −3.81860 | −0.129987 | −0.0649934 | − | 0.997886i | \(-0.520703\pi\) | ||||
−0.0649934 | + | 0.997886i | \(0.520703\pi\) | |||||||
\(864\) | 77.3261 | − | 17.4430i | 2.63069 | − | 0.593422i | ||||
\(865\) | −2.19690 | − | 11.5760i | −0.0746969 | − | 0.393597i | ||||
\(866\) | −13.9330 | + | 4.60583i | −0.473462 | + | 0.156513i | ||||
\(867\) | 78.3078 | + | 15.5764i | 2.65947 | + | 0.529002i | ||||
\(868\) | −9.07601 | − | 5.43516i | −0.308060 | − | 0.184481i | ||||
\(869\) | −27.5749 | − | 18.4250i | −0.935414 | − | 0.625024i | ||||
\(870\) | 51.6712 | − | 16.5781i | 1.75182 | − | 0.562049i | ||||
\(871\) | −19.1529 | − | 46.2391i | −0.648970 | − | 1.56675i | ||||
\(872\) | −13.4665 | + | 12.8361i | −0.456033 | + | 0.434686i | ||||
\(873\) | −9.34293 | − | 3.86997i | −0.316210 | − | 0.130979i | ||||
\(874\) | −2.34329 | + | 8.47397i | −0.0792631 | + | 0.286636i | ||||
\(875\) | −8.34511 | + | 7.91572i | −0.282116 | + | 0.267600i | ||||
\(876\) | 1.52201 | + | 30.7379i | 0.0514241 | + | 1.03854i | ||||
\(877\) | −15.7301 | − | 23.5417i | −0.531166 | − | 0.794946i | 0.464730 | − | 0.885453i | \(-0.346151\pi\) |
−0.995896 | + | 0.0905063i | \(0.971151\pi\) | |||||||
\(878\) | −26.7868 | + | 23.1155i | −0.904012 | + | 0.780112i | ||||
\(879\) | −15.7398 | − | 15.7398i | −0.530891 | − | 0.530891i | ||||
\(880\) | −31.9446 | − | 17.4057i | −1.07685 | − | 0.586746i | ||||
\(881\) | −29.4837 | + | 29.4837i | −0.993331 | + | 0.993331i | −0.999978 | − | 0.00664716i | \(-0.997884\pi\) |
0.00664716 | + | 0.999978i | \(0.497884\pi\) | |||||||
\(882\) | −4.53429 | + | 61.6329i | −0.152677 | + | 2.07529i | ||||
\(883\) | −26.6422 | + | 17.8017i | −0.896580 | + | 0.599076i | −0.916195 | − | 0.400732i | \(-0.868756\pi\) |
0.0196153 | + | 0.999808i | \(0.493756\pi\) | |||||||
\(884\) | 45.7764 | − | 21.6724i | 1.53963 | − | 0.728921i | ||||
\(885\) | 14.8402 | + | 36.7385i | 0.498848 | + | 1.23495i | ||||
\(886\) | −12.5421 | + | 7.10820i | −0.421359 | + | 0.238805i | ||||
\(887\) | −11.7355 | + | 28.3321i | −0.394040 | + | 0.951298i | 0.595010 | + | 0.803719i | \(0.297148\pi\) |
−0.989050 | + | 0.147579i | \(0.952852\pi\) | |||||||
\(888\) | −2.99826 | − | 2.10900i | −0.100615 | − | 0.0707735i | ||||
\(889\) | 8.86822 | − | 3.67334i | 0.297431 | − | 0.123200i | ||||
\(890\) | −11.2864 | − | 5.80334i | −0.378319 | − | 0.194529i | ||||
\(891\) | −52.0346 | + | 77.8753i | −1.74322 | + | 2.60892i | ||||
\(892\) | 24.2310 | + | 32.6453i | 0.811315 | + | 1.09304i | ||||
\(893\) | 0.864241 | − | 4.34483i | 0.0289207 | − | 0.145394i | ||||
\(894\) | 76.3118 | + | 38.3936i | 2.55225 | + | 1.28407i | ||||
\(895\) | 4.30692 | + | 22.6943i | 0.143964 | + | 0.758585i | ||||
\(896\) | 11.2135 | − | 3.11960i | 0.374617 | − | 0.104219i | ||||
\(897\) | 63.0534i | 2.10529i | ||||||||
\(898\) | −9.77818 | + | 19.4353i | −0.326302 | + | 0.648564i | ||||
\(899\) | −26.8917 | − | 5.34910i | −0.896889 | − | 0.178402i | ||||
\(900\) | −38.8909 | + | 62.4234i | −1.29636 | + | 2.08078i | ||||
\(901\) | −11.3679 | + | 17.0133i | −0.378721 | + | 0.566796i | ||||
\(902\) | 36.0955 | − | 46.2707i | 1.20185 | − | 1.54064i | ||||
\(903\) | −1.99711 | − | 4.82144i | −0.0664596 | − | 0.160448i | ||||
\(904\) | 2.77372 | + | 1.95106i | 0.0922526 | + | 0.0648913i | ||||
\(905\) | 7.99174 | − | 38.4077i | 0.265654 | − | 1.27671i | ||||
\(906\) | −24.6838 | + | 13.9895i | −0.820064 | + | 0.464771i | ||||
\(907\) | −22.5931 | + | 4.49404i | −0.750191 | + | 0.149222i | −0.555355 | − | 0.831614i | \(-0.687418\pi\) |
−0.194836 | + | 0.980836i | \(0.562418\pi\) | |||||||
\(908\) | −2.12508 | − | 4.48859i | −0.0705232 | − | 0.148959i | ||||
\(909\) | −55.7756 | − | 83.4741i | −1.84996 | − | 2.76866i | ||||
\(910\) | 12.6581 | − | 1.45075i | 0.419611 | − | 0.0480918i | ||||
\(911\) | −30.8399 | + | 30.8399i | −1.02177 | + | 1.02177i | −0.0220138 | + | 0.999758i | \(0.507008\pi\) |
−0.999758 | + | 0.0220138i | \(0.992992\pi\) | |||||||
\(912\) | 15.9151 | − | 1.57998i | 0.527002 | − | 0.0523183i | ||||
\(913\) | −9.28883 | + | 9.28883i | −0.307415 | + | 0.307415i | ||||
\(914\) | −31.4869 | − | 36.4877i | −1.04149 | − | 1.20691i | ||||
\(915\) | 31.7340 | − | 31.1803i | 1.04909 | − | 1.03079i | ||||
\(916\) | 0.263838 | + | 5.32835i | 0.00871745 | + | 0.176054i | ||||
\(917\) | −0.206758 | − | 1.03944i | −0.00682773 | − | 0.0343253i | ||||
\(918\) | 123.508 | + | 34.1534i | 4.07636 | + | 1.12723i | ||||
\(919\) | 9.89722 | − | 23.8940i | 0.326479 | − | 0.788190i | −0.672369 | − | 0.740216i | \(-0.734723\pi\) |
0.998849 | − | 0.0479746i | \(-0.0152766\pi\) | |||||||
\(920\) | −25.7211 | − | 18.4329i | −0.847999 | − | 0.607714i | ||||
\(921\) | −14.2485 | − | 34.3990i | −0.469505 | − | 1.13349i | ||||
\(922\) | 52.5391 | − | 6.49043i | 1.73028 | − | 0.213751i | ||||
\(923\) | −3.05159 | + | 4.56702i | −0.100444 | + | 0.150325i | ||||
\(924\) | −13.8355 | + | 23.1035i | −0.455154 | + | 0.760048i | ||||
\(925\) | 1.98171 | − | 0.358051i | 0.0651581 | − | 0.0117726i | ||||
\(926\) | −13.2840 | + | 4.39131i | −0.436541 | + | 0.144307i | ||||
\(927\) | −13.0640 | −0.429078 | ||||||||
\(928\) | 24.6471 | − | 17.3942i | 0.809081 | − | 0.570994i | ||||
\(929\) | − | 8.80204i | − | 0.288786i | −0.989520 | − | 0.144393i | \(-0.953877\pi\) | ||
0.989520 | − | 0.144393i | \(-0.0461229\pi\) | |||||||
\(930\) | 45.7423 | − | 25.3952i | 1.49995 | − | 0.832741i | ||||
\(931\) | −1.44029 | + | 7.24083i | −0.0472036 | + | 0.237309i | ||||
\(932\) | −3.06692 | − | 12.2237i | −0.100460 | − | 0.400400i | ||||
\(933\) | 2.04295 | − | 3.05748i | 0.0668830 | − | 0.100098i | ||||
\(934\) | −32.3240 | + | 3.99315i | −1.05767 | + | 0.130660i | ||||
\(935\) | −32.2406 | − | 49.1829i | −1.05438 | − | 1.60845i | ||||
\(936\) | 75.9922 | − | 29.3643i | 2.48388 | − | 0.959801i | ||||
\(937\) | −30.4596 | − | 12.6168i | −0.995072 | − | 0.412172i | −0.175084 | − | 0.984553i | \(-0.556020\pi\) |
−0.819988 | + | 0.572381i | \(0.806020\pi\) | |||||||
\(938\) | 4.95558 | − | 17.9207i | 0.161806 | − | 0.585132i | ||||
\(939\) | −7.98772 | + | 1.58886i | −0.260669 | + | 0.0518504i | ||||
\(940\) | 13.6064 | + | 8.31172i | 0.443791 | + | 0.271098i | ||||
\(941\) | 28.9255 | − | 19.3274i | 0.942945 | − | 0.630056i | 0.0138531 | − | 0.999904i | \(-0.495590\pi\) |
0.929092 | + | 0.369848i | \(0.120590\pi\) | |||||||
\(942\) | −42.5236 | − | 49.2774i | −1.38549 | − | 1.60554i | ||||
\(943\) | 36.0954 | − | 36.0954i | 1.17543 | − | 1.17543i | ||||
\(944\) | 13.9868 | + | 17.0160i | 0.455231 | + | 0.553823i | ||||
\(945\) | 26.6444 | + | 18.1444i | 0.866743 | + | 0.590237i | ||||
\(946\) | −0.665290 | + | 9.04304i | −0.0216304 | + | 0.294014i | ||||
\(947\) | 33.7809 | − | 22.5717i | 1.09773 | − | 0.733481i | 0.131541 | − | 0.991311i | \(-0.458008\pi\) |
0.966190 | + | 0.257830i | \(0.0830075\pi\) | |||||||
\(948\) | −17.6596 | + | 49.4156i | −0.573556 | + | 1.60495i | ||||
\(949\) | 3.65359 | + | 18.3678i | 0.118601 | + | 0.596246i | ||||
\(950\) | −5.52522 | + | 6.83135i | −0.179262 | + | 0.221638i | ||||
\(951\) | 101.733 | + | 42.1393i | 3.29892 | + | 1.36646i | ||||
\(952\) | 18.3609 | + | 4.11185i | 0.595080 | + | 0.133266i | ||||
\(953\) | 9.20148 | + | 22.2143i | 0.298065 | + | 0.719593i | 0.999973 | + | 0.00732514i | \(0.00233168\pi\) |
−0.701908 | + | 0.712267i | \(0.747668\pi\) | |||||||
\(954\) | −20.2443 | + | 25.9511i | −0.655435 | + | 0.840198i | ||||
\(955\) | 4.37971 | + | 1.85945i | 0.141724 | + | 0.0601705i | ||||
\(956\) | 6.30250 | − | 42.6019i | 0.203838 | − | 1.37785i | ||||
\(957\) | −13.6164 | + | 68.4543i | −0.440156 | + | 2.21281i | ||||
\(958\) | −41.4111 | − | 20.8345i | −1.33793 | − | 0.673133i | ||||
\(959\) | −17.3933 | −0.561658 | ||||||||
\(960\) | −14.4126 | + | 55.7296i | −0.465166 | + | 1.79866i | ||||
\(961\) | 4.56499 | 0.147258 | ||||||||
\(962\) | −1.99269 | − | 1.00255i | −0.0642469 | − | 0.0323236i | ||||
\(963\) | 3.29987 | − | 16.5896i | 0.106337 | − | 0.534592i | ||||
\(964\) | −5.11478 | − | 0.756677i | −0.164736 | − | 0.0243709i | ||||
\(965\) | −4.79247 | + | 11.2881i | −0.154275 | + | 0.363376i | ||||
\(966\) | −14.4079 | + | 18.4694i | −0.463566 | + | 0.594243i | ||||
\(967\) | 0.538059 | + | 1.29899i | 0.0173028 | + | 0.0417727i | 0.932295 | − | 0.361699i | \(-0.117803\pi\) |
−0.914992 | + | 0.403472i | \(0.867803\pi\) | |||||||
\(968\) | 13.2399 | − | 8.39490i | 0.425548 | − | 0.269822i | ||||
\(969\) | 23.8861 | + | 9.89395i | 0.767333 | + | 0.317840i | ||||
\(970\) | 3.31676 | − | 2.81164i | 0.106495 | − | 0.0902763i | ||||
\(971\) | −5.13876 | − | 25.8343i | −0.164910 | − | 0.829061i | −0.971333 | − | 0.237722i | \(-0.923599\pi\) |
0.806423 | − | 0.591339i | \(-0.201401\pi\) | |||||||
\(972\) | 60.3828 | + | 21.5789i | 1.93678 | + | 0.692143i | ||||
\(973\) | 5.86958 | − | 3.92193i | 0.188170 | − | 0.125731i | ||||
\(974\) | −4.26801 | + | 58.0135i | −0.136756 | + | 1.85887i | ||||
\(975\) | −25.1341 | + | 57.7812i | −0.804934 | + | 1.85048i | ||||
\(976\) | 11.6416 | − | 21.8206i | 0.372639 | − | 0.698461i | ||||
\(977\) | 25.7969 | − | 25.7969i | 0.825316 | − | 0.825316i | −0.161549 | − | 0.986865i | \(-0.551649\pi\) |
0.986865 | + | 0.161549i | \(0.0516488\pi\) | |||||||
\(978\) | −58.4085 | − | 67.6852i | −1.86770 | − | 2.16433i | ||||
\(979\) | 13.5720 | − | 9.06852i | 0.433763 | − | 0.289831i | ||||
\(980\) | −22.6756 | − | 13.8518i | −0.724344 | − | 0.442479i | ||||
\(981\) | −47.4464 | + | 9.43769i | −1.51485 | + | 0.301322i | ||||
\(982\) | 9.97425 | − | 36.0695i | 0.318291 | − | 1.15102i | ||||
\(983\) | −17.1294 | − | 7.09525i | −0.546344 | − | 0.226303i | 0.0924004 | − | 0.995722i | \(-0.470546\pi\) |
−0.638745 | + | 0.769419i | \(0.720546\pi\) | |||||||
\(984\) | −84.9135 | − | 37.5805i | −2.70694 | − | 1.19802i | ||||
\(985\) | 25.4633 | + | 38.8443i | 0.811330 | + | 1.23768i | ||||
\(986\) | 48.3985 | − | 5.97892i | 1.54132 | − | 0.190408i | ||||
\(987\) | 6.55723 | − | 9.81360i | 0.208719 | − | 0.312370i | ||||
\(988\) | 9.43978 | − | 2.36843i | 0.300319 | − | 0.0753499i | ||||
\(989\) | −1.53874 | + | 7.73578i | −0.0489292 | + | 0.245984i | ||||
\(990\) | −45.9157 | − | 82.7042i | −1.45930 | − | 2.62851i | ||||
\(991\) | 20.2582i | 0.643524i | 0.946821 | + | 0.321762i | \(0.104275\pi\) | ||||
−0.946821 | + | 0.321762i | \(0.895725\pi\) | |||||||
\(992\) | 20.0346 | − | 21.0840i | 0.636100 | − | 0.669417i | ||||
\(993\) | 110.151 | 3.49553 | ||||||||
\(994\) | −1.93744 | + | 0.640461i | −0.0614519 | + | 0.0203142i | ||||
\(995\) | −11.9153 | − | 0.104857i | −0.377740 | − | 0.00332419i | ||||
\(996\) | 17.8329 | + | 10.6793i | 0.565058 | + | 0.338385i | ||||
\(997\) | −21.0951 | + | 31.5710i | −0.668088 | + | 0.999864i | 0.330343 | + | 0.943861i | \(0.392836\pi\) |
−0.998431 | + | 0.0560031i | \(0.982164\pi\) | |||||||
\(998\) | −27.4403 | + | 3.38984i | −0.868608 | + | 0.107304i | ||||
\(999\) | −2.15980 | − | 5.21421i | −0.0683329 | − | 0.164970i |
(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 | 320.2.bf.a.29.31 | yes | 368 | |
5.4 | even | 2 | inner | 320.2.bf.a.29.16 | ✓ | 368 | |
64.53 | even | 16 | inner | 320.2.bf.a.309.16 | yes | 368 | |
320.309 | even | 16 | inner | 320.2.bf.a.309.31 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
320.2.bf.a.29.16 | ✓ | 368 | 5.4 | even | 2 | inner | |
320.2.bf.a.29.31 | yes | 368 | 1.1 | even | 1 | trivial | |
320.2.bf.a.309.16 | yes | 368 | 64.53 | even | 16 | inner | |
320.2.bf.a.309.31 | yes | 368 | 320.309 | even | 16 | inner |