Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [285,2,Mod(77,285)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(285, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("285.77");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 285 = 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 285.k (of order \(4\), degree \(2\), 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: | \(2.27573645761\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 77.17 | ||
Character | \(\chi\) | \(=\) | 285.77 |
Dual form | 285.2.k.d.248.17 |
$q$-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 \(\left(\mathbb{Z}/285\mathbb{Z}\right)^\times\).
\(n\) | \(172\) | \(191\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.87817 | − | 1.87817i | 1.32807 | − | 1.32807i | 0.421014 | − | 0.907054i | \(-0.361674\pi\) |
0.907054 | − | 0.421014i | \(-0.138326\pi\) | |||||||
\(3\) | −1.32130 | − | 1.11989i | −0.762855 | − | 0.646569i | ||||
\(4\) | − | 5.05506i | − | 2.52753i | ||||||
\(5\) | 1.67041 | − | 1.48652i | 0.747029 | − | 0.664792i | ||||
\(6\) | −4.58498 | + | 0.378288i | −1.87181 | + | 0.154435i | ||||
\(7\) | 2.61406 | + | 2.61406i | 0.988021 | + | 0.988021i | 0.999929 | − | 0.0119078i | \(-0.00379044\pi\) |
−0.0119078 | + | 0.999929i | \(0.503790\pi\) | |||||||
\(8\) | −5.73793 | − | 5.73793i | −2.02866 | − | 2.02866i | ||||
\(9\) | 0.491688 | + | 2.95943i | 0.163896 | + | 0.986478i | ||||
\(10\) | 0.345374 | − | 5.92925i | 0.109217 | − | 1.87499i | ||||
\(11\) | 1.96388i | 0.592131i | 0.955168 | + | 0.296065i | \(0.0956746\pi\) | ||||
−0.955168 | + | 0.296065i | \(0.904325\pi\) | |||||||
\(12\) | −5.66112 | + | 6.67927i | −1.63422 | + | 1.92814i | ||||
\(13\) | −2.88991 | + | 2.88991i | −0.801516 | + | 0.801516i | −0.983333 | − | 0.181816i | \(-0.941802\pi\) |
0.181816 | + | 0.983333i | \(0.441802\pi\) | |||||||
\(14\) | 9.81930 | 2.62432 | ||||||||
\(15\) | −3.87186 | + | 0.0934687i | −0.999709 | + | 0.0241335i | ||||
\(16\) | −11.4435 | −2.86088 | ||||||||
\(17\) | 0.118891 | − | 0.118891i | 0.0288353 | − | 0.0288353i | −0.692542 | − | 0.721377i | \(-0.743509\pi\) |
0.721377 | + | 0.692542i | \(0.243509\pi\) | |||||||
\(18\) | 6.48180 | + | 4.63485i | 1.52777 | + | 1.09244i | ||||
\(19\) | 1.00000i | 0.229416i | ||||||||
\(20\) | −7.51444 | − | 8.44401i | −1.68028 | − | 1.88814i | ||||
\(21\) | −0.526505 | − | 6.38143i | −0.114893 | − | 1.39254i | ||||
\(22\) | 3.68850 | + | 3.68850i | 0.786390 | + | 0.786390i | ||||
\(23\) | 3.71671 | + | 3.71671i | 0.774987 | + | 0.774987i | 0.978974 | − | 0.203986i | \(-0.0653898\pi\) |
−0.203986 | + | 0.978974i | \(0.565390\pi\) | |||||||
\(24\) | 1.15569 | + | 14.0074i | 0.235904 | + | 2.85925i | ||||
\(25\) | 0.580522 | − | 4.96619i | 0.116104 | − | 0.993237i | ||||
\(26\) | 10.8555i | 2.12894i | ||||||||
\(27\) | 2.66457 | − | 4.46095i | 0.512798 | − | 0.858510i | ||||
\(28\) | 13.2142 | − | 13.2142i | 2.49725 | − | 2.49725i | ||||
\(29\) | −8.11307 | −1.50656 | −0.753280 | − | 0.657700i | \(-0.771529\pi\) | ||||
−0.753280 | + | 0.657700i | \(0.771529\pi\) | |||||||
\(30\) | −7.09646 | + | 7.44756i | −1.29563 | + | 1.35973i | ||||
\(31\) | −5.06945 | −0.910499 | −0.455250 | − | 0.890364i | \(-0.650450\pi\) | ||||
−0.455250 | + | 0.890364i | \(0.650450\pi\) | |||||||
\(32\) | −10.0170 | + | 10.0170i | −1.77077 | + | 1.77077i | ||||
\(33\) | 2.19933 | − | 2.59488i | 0.382854 | − | 0.451710i | ||||
\(34\) | − | 0.446595i | − | 0.0765904i | ||||||
\(35\) | 8.25239 | + | 0.480695i | 1.39491 | + | 0.0812523i | ||||
\(36\) | 14.9601 | − | 2.48551i | 2.49335 | − | 0.414252i | ||||
\(37\) | 0.362797 | + | 0.362797i | 0.0596435 | + | 0.0596435i | 0.736299 | − | 0.676656i | \(-0.236572\pi\) |
−0.676656 | + | 0.736299i | \(0.736572\pi\) | |||||||
\(38\) | 1.87817 | + | 1.87817i | 0.304680 | + | 0.304680i | ||||
\(39\) | 7.05483 | − | 0.582064i | 1.12968 | − | 0.0932048i | ||||
\(40\) | −18.1142 | − | 1.05514i | −2.86411 | − | 0.166832i | ||||
\(41\) | − | 3.68873i | − | 0.576083i | −0.957618 | − | 0.288041i | \(-0.906996\pi\) | ||
0.957618 | − | 0.288041i | \(-0.0930041\pi\) | |||||||
\(42\) | −12.9743 | − | 10.9966i | −2.00198 | − | 1.69680i | ||||
\(43\) | 6.15556 | − | 6.15556i | 0.938713 | − | 0.938713i | −0.0595140 | − | 0.998227i | \(-0.518955\pi\) |
0.998227 | + | 0.0595140i | \(0.0189551\pi\) | |||||||
\(44\) | 9.92751 | 1.49663 | ||||||||
\(45\) | 5.22057 | + | 4.21256i | 0.778237 | + | 0.627971i | ||||
\(46\) | 13.9612 | 2.05847 | ||||||||
\(47\) | 2.85613 | − | 2.85613i | 0.416610 | − | 0.416610i | −0.467424 | − | 0.884033i | \(-0.654818\pi\) |
0.884033 | + | 0.467424i | \(0.154818\pi\) | |||||||
\(48\) | 15.1203 | + | 12.8155i | 2.18243 | + | 1.84976i | ||||
\(49\) | 6.66661i | 0.952372i | ||||||||
\(50\) | −8.23703 | − | 10.4177i | −1.16489 | − | 1.47328i | ||||
\(51\) | −0.290236 | + | 0.0239461i | −0.0406411 | + | 0.00335313i | ||||
\(52\) | 14.6087 | + | 14.6087i | 2.02586 | + | 2.02586i | ||||
\(53\) | −2.19294 | − | 2.19294i | −0.301223 | − | 0.301223i | 0.540269 | − | 0.841492i | \(-0.318322\pi\) |
−0.841492 | + | 0.540269i | \(0.818322\pi\) | |||||||
\(54\) | −3.37390 | − | 13.3830i | −0.459129 | − | 1.82119i | ||||
\(55\) | 2.91934 | + | 3.28047i | 0.393643 | + | 0.442339i | ||||
\(56\) | − | 29.9986i | − | 4.00873i | ||||||
\(57\) | 1.11989 | − | 1.32130i | 0.148333 | − | 0.175011i | ||||
\(58\) | −15.2377 | + | 15.2377i | −2.00081 | + | 2.00081i | ||||
\(59\) | −4.63152 | −0.602972 | −0.301486 | − | 0.953471i | \(-0.597483\pi\) | ||||
−0.301486 | + | 0.953471i | \(0.597483\pi\) | |||||||
\(60\) | 0.472490 | + | 19.5725i | 0.0609982 | + | 2.52679i | ||||
\(61\) | −4.96370 | −0.635537 | −0.317768 | − | 0.948168i | \(-0.602933\pi\) | ||||
−0.317768 | + | 0.948168i | \(0.602933\pi\) | |||||||
\(62\) | −9.52129 | + | 9.52129i | −1.20921 | + | 1.20921i | ||||
\(63\) | −6.45083 | + | 9.02143i | −0.812728 | + | 1.13659i | ||||
\(64\) | 14.7403i | 1.84254i | ||||||||
\(65\) | −0.531421 | + | 9.12323i | −0.0659146 | + | 1.13160i | ||||
\(66\) | −0.742910 | − | 9.00434i | −0.0914459 | − | 1.10836i | ||||
\(67\) | 10.1737 | + | 10.1737i | 1.24292 | + | 1.24292i | 0.958784 | + | 0.284135i | \(0.0917064\pi\) |
0.284135 | + | 0.958784i | \(0.408294\pi\) | |||||||
\(68\) | −0.601000 | − | 0.601000i | −0.0728820 | − | 0.0728820i | ||||
\(69\) | −0.748592 | − | 9.07321i | −0.0901199 | − | 1.09229i | ||||
\(70\) | 16.4022 | − | 14.5966i | 1.96044 | − | 1.74463i | ||||
\(71\) | − | 0.0158418i | − | 0.00188007i | −1.00000 | 0.000940037i | \(-0.999701\pi\) | |||
1.00000 | 0.000940037i | \(-0.000299223\pi\) | ||||||||
\(72\) | 14.1597 | − | 19.8023i | 1.66874 | − | 2.33372i | ||||
\(73\) | −6.43690 | + | 6.43690i | −0.753383 | + | 0.753383i | −0.975109 | − | 0.221726i | \(-0.928831\pi\) |
0.221726 | + | 0.975109i | \(0.428831\pi\) | |||||||
\(74\) | 1.36279 | 0.158421 | ||||||||
\(75\) | −6.32863 | + | 5.91172i | −0.730768 | + | 0.682626i | ||||
\(76\) | 5.05506 | 0.579855 | ||||||||
\(77\) | −5.13369 | + | 5.13369i | −0.585038 | + | 0.585038i | ||||
\(78\) | 12.1570 | − | 14.3434i | 1.37651 | − | 1.62407i | ||||
\(79\) | 4.95634i | 0.557632i | 0.960345 | + | 0.278816i | \(0.0899419\pi\) | ||||
−0.960345 | + | 0.278816i | \(0.910058\pi\) | |||||||
\(80\) | −19.1153 | + | 17.0110i | −2.13716 | + | 1.90189i | ||||
\(81\) | −8.51649 | + | 2.91023i | −0.946276 | + | 0.323359i | ||||
\(82\) | −6.92807 | − | 6.92807i | −0.765077 | − | 0.765077i | ||||
\(83\) | −6.67296 | − | 6.67296i | −0.732452 | − | 0.732452i | 0.238653 | − | 0.971105i | \(-0.423294\pi\) |
−0.971105 | + | 0.238653i | \(0.923294\pi\) | |||||||
\(84\) | −32.2585 | + | 2.66151i | −3.51969 | + | 0.290395i | ||||
\(85\) | 0.0218627 | − | 0.375330i | 0.00237134 | − | 0.0407102i | ||||
\(86\) | − | 23.1224i | − | 2.49335i | ||||||
\(87\) | 10.7198 | + | 9.08576i | 1.14929 | + | 0.974096i | ||||
\(88\) | 11.2686 | − | 11.2686i | 1.20123 | − | 1.20123i | ||||
\(89\) | −9.02054 | −0.956175 | −0.478088 | − | 0.878312i | \(-0.658670\pi\) | ||||
−0.478088 | + | 0.878312i | \(0.658670\pi\) | |||||||
\(90\) | 17.7170 | − | 1.89323i | 1.86754 | − | 0.199564i | ||||
\(91\) | −15.1088 | −1.58383 | ||||||||
\(92\) | 18.7882 | − | 18.7882i | 1.95880 | − | 1.95880i | ||||
\(93\) | 6.69828 | + | 5.67723i | 0.694579 | + | 0.588701i | ||||
\(94\) | − | 10.7286i | − | 1.10657i | ||||||
\(95\) | 1.48652 | + | 1.67041i | 0.152514 | + | 0.171380i | ||||
\(96\) | 24.4535 | − | 2.01755i | 2.49577 | − | 0.205916i | ||||
\(97\) | 3.45173 | + | 3.45173i | 0.350470 | + | 0.350470i | 0.860284 | − | 0.509814i | \(-0.170286\pi\) |
−0.509814 | + | 0.860284i | \(0.670286\pi\) | |||||||
\(98\) | 12.5210 | + | 12.5210i | 1.26482 | + | 1.26482i | ||||
\(99\) | −5.81196 | + | 0.965613i | −0.584124 | + | 0.0970478i | ||||
\(100\) | −25.1044 | − | 2.93458i | −2.51044 | − | 0.293458i | ||||
\(101\) | − | 13.5211i | − | 1.34540i | −0.739914 | − | 0.672701i | \(-0.765134\pi\) | ||
0.739914 | − | 0.672701i | \(-0.234866\pi\) | |||||||
\(102\) | −0.500138 | + | 0.590087i | −0.0495210 | + | 0.0584274i | ||||
\(103\) | −1.26800 | + | 1.26800i | −0.124940 | + | 0.124940i | −0.766812 | − | 0.641872i | \(-0.778158\pi\) |
0.641872 | + | 0.766812i | \(0.278158\pi\) | |||||||
\(104\) | 33.1642 | 3.25201 | ||||||||
\(105\) | −10.3656 | − | 9.87692i | −1.01158 | − | 0.963889i | ||||
\(106\) | −8.23743 | −0.800090 | ||||||||
\(107\) | −1.50041 | + | 1.50041i | −0.145050 | + | 0.145050i | −0.775903 | − | 0.630852i | \(-0.782705\pi\) |
0.630852 | + | 0.775903i | \(0.282705\pi\) | |||||||
\(108\) | −22.5503 | − | 13.4696i | −2.16991 | − | 1.29611i | ||||
\(109\) | − | 10.4372i | − | 0.999704i | −0.866111 | − | 0.499852i | \(-0.833388\pi\) | ||
0.866111 | − | 0.499852i | \(-0.166612\pi\) | |||||||
\(110\) | 11.6443 | + | 0.678272i | 1.11024 | + | 0.0646707i | ||||
\(111\) | −0.0730720 | − | 0.885659i | −0.00693569 | − | 0.0840631i | ||||
\(112\) | −29.9140 | − | 29.9140i | −2.82661 | − | 2.82661i | ||||
\(113\) | 4.14459 | + | 4.14459i | 0.389890 | + | 0.389890i | 0.874648 | − | 0.484758i | \(-0.161092\pi\) |
−0.484758 | + | 0.874648i | \(0.661092\pi\) | |||||||
\(114\) | −0.378288 | − | 4.58498i | −0.0354299 | − | 0.429423i | ||||
\(115\) | 11.7334 | + | 0.683460i | 1.09414 | + | 0.0637330i | ||||
\(116\) | 41.0121i | 3.80787i | ||||||||
\(117\) | −9.97342 | − | 7.13156i | −0.922043 | − | 0.659313i | ||||
\(118\) | −8.69878 | + | 8.69878i | −0.800788 | + | 0.800788i | ||||
\(119\) | 0.621575 | 0.0569797 | ||||||||
\(120\) | 22.7527 | + | 21.6801i | 2.07703 | + | 1.97911i | ||||
\(121\) | 7.14319 | 0.649381 | ||||||||
\(122\) | −9.32268 | + | 9.32268i | −0.844036 | + | 0.844036i | ||||
\(123\) | −4.13098 | + | 4.87393i | −0.372477 | + | 0.439468i | ||||
\(124\) | 25.6263i | 2.30131i | ||||||||
\(125\) | −6.41262 | − | 9.15851i | −0.573562 | − | 0.819162i | ||||
\(126\) | 4.82803 | + | 29.0596i | 0.430115 | + | 2.58883i | ||||
\(127\) | 10.4201 | + | 10.4201i | 0.924635 | + | 0.924635i | 0.997353 | − | 0.0727180i | \(-0.0231673\pi\) |
−0.0727180 | + | 0.997353i | \(0.523167\pi\) | |||||||
\(128\) | 7.65087 | + | 7.65087i | 0.676248 | + | 0.676248i | ||||
\(129\) | −15.0269 | + | 1.23981i | −1.32305 | + | 0.109159i | ||||
\(130\) | 16.1369 | + | 18.1331i | 1.41530 | + | 1.59038i | ||||
\(131\) | 20.0635i | 1.75296i | 0.481440 | + | 0.876479i | \(0.340114\pi\) | ||||
−0.481440 | + | 0.876479i | \(0.659886\pi\) | |||||||
\(132\) | −13.1173 | − | 11.1177i | −1.14171 | − | 0.967674i | ||||
\(133\) | −2.61406 | + | 2.61406i | −0.226668 | + | 0.226668i | ||||
\(134\) | 38.2160 | 3.30136 | ||||||||
\(135\) | −2.18036 | − | 11.4125i | −0.187655 | − | 0.982235i | ||||
\(136\) | −1.36437 | −0.116994 | ||||||||
\(137\) | −3.84236 | + | 3.84236i | −0.328275 | + | 0.328275i | −0.851930 | − | 0.523655i | \(-0.824568\pi\) |
0.523655 | + | 0.851930i | \(0.324568\pi\) | |||||||
\(138\) | −18.4470 | − | 15.6351i | −1.57032 | − | 1.33095i | ||||
\(139\) | − | 17.5128i | − | 1.48541i | −0.669617 | − | 0.742707i | \(-0.733542\pi\) | ||
0.669617 | − | 0.742707i | \(-0.266458\pi\) | |||||||
\(140\) | 2.42994 | − | 41.7163i | 0.205368 | − | 3.52567i | ||||
\(141\) | −6.97238 | + | 0.575261i | −0.587180 | + | 0.0484457i | ||||
\(142\) | −0.0297536 | − | 0.0297536i | −0.00249687 | − | 0.00249687i | ||||
\(143\) | −5.67542 | − | 5.67542i | −0.474602 | − | 0.474602i | ||||
\(144\) | −5.62663 | − | 33.8663i | −0.468886 | − | 2.82219i | ||||
\(145\) | −13.5521 | + | 12.0602i | −1.12544 | + | 1.00155i | ||||
\(146\) | 24.1792i | 2.00109i | ||||||||
\(147\) | 7.46587 | − | 8.80861i | 0.615775 | − | 0.726522i | ||||
\(148\) | 1.83396 | − | 1.83396i | 0.150751 | − | 0.150751i | ||||
\(149\) | −3.14043 | −0.257274 | −0.128637 | − | 0.991692i | \(-0.541060\pi\) | ||||
−0.128637 | + | 0.991692i | \(0.541060\pi\) | |||||||
\(150\) | −0.783039 | + | 22.9895i | −0.0639349 | + | 1.87708i | ||||
\(151\) | 20.0025 | 1.62778 | 0.813890 | − | 0.581019i | \(-0.197346\pi\) | ||||
0.813890 | + | 0.581019i | \(0.197346\pi\) | |||||||
\(152\) | 5.73793 | − | 5.73793i | 0.465407 | − | 0.465407i | ||||
\(153\) | 0.410307 | + | 0.293392i | 0.0331713 | + | 0.0237194i | ||||
\(154\) | 19.2839i | 1.55394i | ||||||||
\(155\) | −8.46804 | + | 7.53583i | −0.680169 | + | 0.605292i | ||||
\(156\) | −2.94237 | − | 35.6626i | −0.235578 | − | 2.85529i | ||||
\(157\) | −1.62416 | − | 1.62416i | −0.129622 | − | 0.129622i | 0.639319 | − | 0.768941i | \(-0.279216\pi\) |
−0.768941 | + | 0.639319i | \(0.779216\pi\) | |||||||
\(158\) | 9.30886 | + | 9.30886i | 0.740573 | + | 0.740573i | ||||
\(159\) | 0.441686 | + | 5.35339i | 0.0350280 | + | 0.424552i | ||||
\(160\) | −1.84201 | + | 31.6230i | −0.145624 | + | 2.50002i | ||||
\(161\) | 19.4314i | 1.53141i | ||||||||
\(162\) | −10.5295 | + | 21.4613i | −0.827276 | + | 1.68616i | ||||
\(163\) | 10.7499 | − | 10.7499i | 0.842000 | − | 0.842000i | −0.147119 | − | 0.989119i | \(-0.547000\pi\) |
0.989119 | + | 0.147119i | \(0.0470000\pi\) | |||||||
\(164\) | −18.6467 | −1.45607 | ||||||||
\(165\) | −0.183561 | − | 7.60384i | −0.0142902 | − | 0.591958i | ||||
\(166\) | −25.0659 | −1.94549 | ||||||||
\(167\) | 2.85411 | − | 2.85411i | 0.220857 | − | 0.220857i | −0.588002 | − | 0.808859i | \(-0.700085\pi\) |
0.808859 | + | 0.588002i | \(0.200085\pi\) | |||||||
\(168\) | −33.5951 | + | 39.6372i | −2.59192 | + | 3.05808i | ||||
\(169\) | − | 3.70314i | − | 0.284857i | ||||||
\(170\) | −0.663872 | − | 0.745995i | −0.0509166 | − | 0.0572152i | ||||
\(171\) | −2.95943 | + | 0.491688i | −0.226313 | + | 0.0376003i | ||||
\(172\) | −31.1167 | − | 31.1167i | −2.37263 | − | 2.37263i | ||||
\(173\) | 4.23581 | + | 4.23581i | 0.322043 | + | 0.322043i | 0.849550 | − | 0.527508i | \(-0.176873\pi\) |
−0.527508 | + | 0.849550i | \(0.676873\pi\) | |||||||
\(174\) | 37.1983 | − | 3.06907i | 2.82000 | − | 0.232666i | ||||
\(175\) | 14.4994 | − | 11.4644i | 1.09605 | − | 0.866626i | ||||
\(176\) | − | 22.4736i | − | 1.69401i | ||||||
\(177\) | 6.11964 | + | 5.18679i | 0.459980 | + | 0.389863i | ||||
\(178\) | −16.9421 | + | 16.9421i | −1.26987 | + | 1.26987i | ||||
\(179\) | 0.428761 | 0.0320471 | 0.0160235 | − | 0.999872i | \(-0.494899\pi\) | ||||
0.0160235 | + | 0.999872i | \(0.494899\pi\) | |||||||
\(180\) | 21.2947 | − | 26.3903i | 1.58721 | − | 1.96702i | ||||
\(181\) | 0.482909 | 0.0358943 | 0.0179472 | − | 0.999839i | \(-0.494287\pi\) | ||||
0.0179472 | + | 0.999839i | \(0.494287\pi\) | |||||||
\(182\) | −28.3769 | + | 28.3769i | −2.10343 | + | 2.10343i | ||||
\(183\) | 6.55856 | + | 5.55880i | 0.484822 | + | 0.410919i | ||||
\(184\) | − | 42.6524i | − | 3.14438i | ||||||
\(185\) | 1.14532 | + | 0.0667143i | 0.0842060 | + | 0.00490493i | ||||
\(186\) | 23.2433 | − | 1.91771i | 1.70428 | − | 0.140613i | ||||
\(187\) | 0.233487 | + | 0.233487i | 0.0170742 | + | 0.0170742i | ||||
\(188\) | −14.4379 | − | 14.4379i | −1.05299 | − | 1.05299i | ||||
\(189\) | 18.6265 | − | 4.69582i | 1.35488 | − | 0.341571i | ||||
\(190\) | 5.92925 | + | 0.345374i | 0.430153 | + | 0.0250561i | ||||
\(191\) | − | 18.7929i | − | 1.35981i | −0.733301 | − | 0.679904i | \(-0.762022\pi\) | ||
0.733301 | − | 0.679904i | \(-0.237978\pi\) | |||||||
\(192\) | 16.5076 | − | 19.4765i | 1.19133 | − | 1.40559i | ||||
\(193\) | 6.30712 | − | 6.30712i | 0.453996 | − | 0.453996i | −0.442682 | − | 0.896679i | \(-0.645973\pi\) |
0.896679 | + | 0.442682i | \(0.145973\pi\) | |||||||
\(194\) | 12.9659 | 0.930896 | ||||||||
\(195\) | 10.9192 | − | 11.4594i | 0.781939 | − | 0.820626i | ||||
\(196\) | 33.7001 | 2.40715 | ||||||||
\(197\) | −6.21578 | + | 6.21578i | −0.442856 | + | 0.442856i | −0.892971 | − | 0.450115i | \(-0.851383\pi\) |
0.450115 | + | 0.892971i | \(0.351383\pi\) | |||||||
\(198\) | −9.10227 | + | 12.7294i | −0.646870 | + | 0.904642i | ||||
\(199\) | 16.7946i | 1.19054i | 0.803527 | + | 0.595268i | \(0.202954\pi\) | ||||
−0.803527 | + | 0.595268i | \(0.797046\pi\) | |||||||
\(200\) | −31.8266 | + | 25.1646i | −2.25048 | + | 1.77941i | ||||
\(201\) | −2.04912 | − | 24.8361i | −0.144534 | − | 1.75180i | ||||
\(202\) | −25.3950 | − | 25.3950i | −1.78679 | − | 1.78679i | ||||
\(203\) | −21.2080 | − | 21.2080i | −1.48851 | − | 1.48851i | ||||
\(204\) | 0.121049 | + | 1.46716i | 0.00847513 | + | 0.102722i | ||||
\(205\) | −5.48337 | − | 6.16168i | −0.382975 | − | 0.430350i | ||||
\(206\) | 4.76305i | 0.331857i | ||||||||
\(207\) | −9.17189 | + | 12.8268i | −0.637491 | + | 0.891525i | ||||
\(208\) | 33.0707 | − | 33.0707i | 2.29304 | − | 2.29304i | ||||
\(209\) | −1.96388 | −0.135844 | ||||||||
\(210\) | −38.0189 | + | 0.917798i | −2.62355 | + | 0.0633340i | ||||
\(211\) | 3.99252 | 0.274856 | 0.137428 | − | 0.990512i | \(-0.456116\pi\) | ||||
0.137428 | + | 0.990512i | \(0.456116\pi\) | |||||||
\(212\) | −11.0854 | + | 11.0854i | −0.761351 | + | 0.761351i | ||||
\(213\) | −0.0177411 | + | 0.0209318i | −0.00121560 | + | 0.00143422i | ||||
\(214\) | 5.63606i | 0.385273i | ||||||||
\(215\) | 1.13194 | − | 19.4326i | 0.0771974 | − | 1.32529i | ||||
\(216\) | −40.8857 | + | 10.3075i | −2.78192 | + | 0.701333i | ||||
\(217\) | −13.2518 | − | 13.2518i | −0.899593 | − | 0.899593i | ||||
\(218\) | −19.6029 | − | 19.6029i | −1.32767 | − | 1.32767i | ||||
\(219\) | 15.7137 | − | 1.29647i | 1.06184 | − | 0.0876076i | ||||
\(220\) | 16.5830 | − | 14.7574i | 1.11802 | − | 0.994945i | ||||
\(221\) | 0.687167i | 0.0462239i | ||||||||
\(222\) | −1.80066 | − | 1.52618i | −0.120853 | − | 0.102430i | ||||
\(223\) | −4.40499 | + | 4.40499i | −0.294980 | + | 0.294980i | −0.839044 | − | 0.544064i | \(-0.816885\pi\) |
0.544064 | + | 0.839044i | \(0.316885\pi\) | |||||||
\(224\) | −52.3701 | −3.49913 | ||||||||
\(225\) | 14.9825 | − | 0.723795i | 0.998835 | − | 0.0482530i | ||||
\(226\) | 15.5685 | 1.03560 | ||||||||
\(227\) | 2.45504 | − | 2.45504i | 0.162947 | − | 0.162947i | −0.620924 | − | 0.783871i | \(-0.713242\pi\) |
0.783871 | + | 0.620924i | \(0.213242\pi\) | |||||||
\(228\) | −6.67927 | − | 5.66112i | −0.442345 | − | 0.374917i | ||||
\(229\) | − | 12.6977i | − | 0.839091i | −0.907734 | − | 0.419545i | \(-0.862190\pi\) | ||
0.907734 | − | 0.419545i | \(-0.137810\pi\) | |||||||
\(230\) | 23.3210 | − | 20.7536i | 1.53774 | − | 1.36845i | ||||
\(231\) | 12.5323 | − | 1.03399i | 0.824567 | − | 0.0680315i | ||||
\(232\) | 46.5522 | + | 46.5522i | 3.05630 | + | 3.05630i | ||||
\(233\) | 18.6113 | + | 18.6113i | 1.21926 | + | 1.21926i | 0.967890 | + | 0.251374i | \(0.0808823\pi\) |
0.251374 | + | 0.967890i | \(0.419118\pi\) | |||||||
\(234\) | −32.1261 | + | 5.33751i | −2.10015 | + | 0.348924i | ||||
\(235\) | 0.525210 | − | 9.01660i | 0.0342609 | − | 0.588178i | ||||
\(236\) | 23.4126i | 1.52403i | ||||||||
\(237\) | 5.55056 | − | 6.54883i | 0.360548 | − | 0.425392i | ||||
\(238\) | 1.16743 | − | 1.16743i | 0.0756729 | − | 0.0756729i | ||||
\(239\) | 1.67982 | 0.108659 | 0.0543293 | − | 0.998523i | \(-0.482698\pi\) | ||||
0.0543293 | + | 0.998523i | \(0.482698\pi\) | |||||||
\(240\) | 44.3076 | − | 1.06961i | 2.86004 | − | 0.0690430i | ||||
\(241\) | −16.1063 | −1.03750 | −0.518749 | − | 0.854927i | \(-0.673602\pi\) | ||||
−0.518749 | + | 0.854927i | \(0.673602\pi\) | |||||||
\(242\) | 13.4161 | − | 13.4161i | 0.862423 | − | 0.862423i | ||||
\(243\) | 14.5120 | + | 5.69224i | 0.930946 | + | 0.365157i | ||||
\(244\) | 25.0918i | 1.60634i | ||||||||
\(245\) | 9.91004 | + | 11.1359i | 0.633129 | + | 0.711450i | ||||
\(246\) | 1.39540 | + | 16.9128i | 0.0889675 | + | 1.07832i | ||||
\(247\) | −2.88991 | − | 2.88991i | −0.183880 | − | 0.183880i | ||||
\(248\) | 29.0881 | + | 29.0881i | 1.84710 | + | 1.84710i | ||||
\(249\) | 1.34402 | + | 16.2900i | 0.0851737 | + | 1.03234i | ||||
\(250\) | −29.2453 | − | 5.15725i | −1.84963 | − | 0.326173i | ||||
\(251\) | 10.3835i | 0.655402i | 0.944781 | + | 0.327701i | \(0.106274\pi\) | ||||
−0.944781 | + | 0.327701i | \(0.893726\pi\) | |||||||
\(252\) | 45.6039 | + | 32.6093i | 2.87277 | + | 2.05419i | ||||
\(253\) | −7.29915 | + | 7.29915i | −0.458894 | + | 0.458894i | ||||
\(254\) | 39.1415 | 2.45596 | ||||||||
\(255\) | −0.449216 | + | 0.471441i | −0.0281310 | + | 0.0295228i | ||||
\(256\) | −0.741396 | −0.0463372 | ||||||||
\(257\) | 18.1539 | − | 18.1539i | 1.13241 | − | 1.13241i | 0.142635 | − | 0.989775i | \(-0.454443\pi\) |
0.989775 | − | 0.142635i | \(-0.0455575\pi\) | |||||||
\(258\) | −25.8946 | + | 30.5517i | −1.61212 | + | 1.90207i | ||||
\(259\) | 1.89675i | 0.117858i | ||||||||
\(260\) | 46.1185 | + | 2.68636i | 2.86014 | + | 0.166601i | ||||
\(261\) | −3.98910 | − | 24.0101i | −0.246919 | − | 1.48619i | ||||
\(262\) | 37.6827 | + | 37.6827i | 2.32805 | + | 2.32805i | ||||
\(263\) | −11.0145 | − | 11.0145i | −0.679183 | − | 0.679183i | 0.280632 | − | 0.959815i | \(-0.409456\pi\) |
−0.959815 | + | 0.280632i | \(0.909456\pi\) | |||||||
\(264\) | −27.5088 | + | 2.26963i | −1.69305 | + | 0.139686i | ||||
\(265\) | −6.92295 | − | 0.403256i | −0.425273 | − | 0.0247718i | ||||
\(266\) | 9.81930i | 0.602060i | ||||||||
\(267\) | 11.9189 | + | 10.1020i | 0.729423 | + | 0.618234i | ||||
\(268\) | 51.4288 | − | 51.4288i | 3.14152 | − | 3.14152i | ||||
\(269\) | −3.59002 | −0.218887 | −0.109444 | − | 0.993993i | \(-0.534907\pi\) | ||||
−0.109444 | + | 0.993993i | \(0.534907\pi\) | |||||||
\(270\) | −25.5298 | − | 17.3396i | −1.55369 | − | 1.05526i | ||||
\(271\) | −20.3081 | −1.23363 | −0.616813 | − | 0.787110i | \(-0.711577\pi\) | ||||
−0.616813 | + | 0.787110i | \(0.711577\pi\) | |||||||
\(272\) | −1.36053 | + | 1.36053i | −0.0824941 | + | 0.0824941i | ||||
\(273\) | 19.9633 | + | 16.9202i | 1.20823 | + | 1.02406i | ||||
\(274\) | 14.4332i | 0.871943i | ||||||||
\(275\) | 9.75297 | + | 1.14007i | 0.588126 | + | 0.0687490i | ||||
\(276\) | −45.8656 | + | 3.78418i | −2.76079 | + | 0.227781i | ||||
\(277\) | −8.85319 | − | 8.85319i | −0.531936 | − | 0.531936i | 0.389212 | − | 0.921148i | \(-0.372747\pi\) |
−0.921148 | + | 0.389212i | \(0.872747\pi\) | |||||||
\(278\) | −32.8920 | − | 32.8920i | −1.97273 | − | 1.97273i | ||||
\(279\) | −2.49258 | − | 15.0027i | −0.149227 | − | 0.898187i | ||||
\(280\) | −44.5934 | − | 50.1098i | −2.66497 | − | 2.99463i | ||||
\(281\) | 12.9966i | 0.775312i | 0.921804 | + | 0.387656i | \(0.126715\pi\) | ||||
−0.921804 | + | 0.387656i | \(0.873285\pi\) | |||||||
\(282\) | −12.0149 | + | 14.1758i | −0.715476 | + | 0.844154i | ||||
\(283\) | −8.49793 | + | 8.49793i | −0.505149 | + | 0.505149i | −0.913034 | − | 0.407884i | \(-0.866267\pi\) |
0.407884 | + | 0.913034i | \(0.366267\pi\) | |||||||
\(284\) | −0.0800811 | −0.00475194 | ||||||||
\(285\) | −0.0934687 | − | 3.87186i | −0.00553661 | − | 0.229349i | ||||
\(286\) | −21.3188 | −1.26061 | ||||||||
\(287\) | 9.64255 | − | 9.64255i | 0.569182 | − | 0.569182i | ||||
\(288\) | −34.5699 | − | 24.7194i | −2.03705 | − | 1.45661i | ||||
\(289\) | 16.9717i | 0.998337i | ||||||||
\(290\) | −2.80205 | + | 48.1044i | −0.164542 | + | 2.82479i | ||||
\(291\) | −0.695222 | − | 8.42634i | −0.0407546 | − | 0.493961i | ||||
\(292\) | 32.5389 | + | 32.5389i | 1.90420 | + | 1.90420i | ||||
\(293\) | −14.7298 | − | 14.7298i | −0.860522 | − | 0.860522i | 0.130877 | − | 0.991399i | \(-0.458221\pi\) |
−0.991399 | + | 0.130877i | \(0.958221\pi\) | |||||||
\(294\) | −2.52189 | − | 30.5663i | −0.147080 | − | 1.78266i | ||||
\(295\) | −7.73652 | + | 6.88484i | −0.450438 | + | 0.400851i | ||||
\(296\) | − | 4.16341i | − | 0.241993i | ||||||
\(297\) | 8.76074 | + | 5.23289i | 0.508350 | + | 0.303643i | ||||
\(298\) | −5.89828 | + | 5.89828i | −0.341678 | + | 0.341678i | ||||
\(299\) | −21.4819 | −1.24233 | ||||||||
\(300\) | 29.8841 | + | 31.9916i | 1.72536 | + | 1.84704i | ||||
\(301\) | 32.1820 | 1.85494 | ||||||||
\(302\) | 37.5681 | − | 37.5681i | 2.16180 | − | 2.16180i | ||||
\(303\) | −15.1422 | + | 17.8655i | −0.869896 | + | 1.02635i | ||||
\(304\) | − | 11.4435i | − | 0.656330i | ||||||
\(305\) | −8.29140 | + | 7.37863i | −0.474764 | + | 0.422499i | ||||
\(306\) | 1.32167 | − | 0.219585i | 0.0755547 | − | 0.0125528i | ||||
\(307\) | −2.76684 | − | 2.76684i | −0.157912 | − | 0.157912i | 0.623729 | − | 0.781641i | \(-0.285617\pi\) |
−0.781641 | + | 0.623729i | \(0.785617\pi\) | |||||||
\(308\) | 25.9511 | + | 25.9511i | 1.47870 | + | 1.47870i | ||||
\(309\) | 3.09544 | − | 0.255392i | 0.176093 | − | 0.0145287i | ||||
\(310\) | −1.75086 | + | 30.0580i | −0.0994419 | + | 1.70718i | ||||
\(311\) | 23.7479i | 1.34662i | 0.739360 | + | 0.673310i | \(0.235128\pi\) | ||||
−0.739360 | + | 0.673310i | \(0.764872\pi\) | |||||||
\(312\) | −43.8199 | − | 37.1402i | −2.48081 | − | 2.10265i | ||||
\(313\) | 9.95192 | − | 9.95192i | 0.562516 | − | 0.562516i | −0.367506 | − | 0.930021i | \(-0.619788\pi\) |
0.930021 | + | 0.367506i | \(0.119788\pi\) | |||||||
\(314\) | −6.10091 | −0.344294 | ||||||||
\(315\) | 2.63501 | + | 24.6588i | 0.148466 | + | 1.38936i | ||||
\(316\) | 25.0546 | 1.40943 | ||||||||
\(317\) | 2.31246 | − | 2.31246i | 0.129881 | − | 0.129881i | −0.639178 | − | 0.769059i | \(-0.720725\pi\) |
0.769059 | + | 0.639178i | \(0.220725\pi\) | |||||||
\(318\) | 10.8842 | + | 9.22503i | 0.610353 | + | 0.517314i | ||||
\(319\) | − | 15.9331i | − | 0.892080i | ||||||
\(320\) | 21.9118 | + | 24.6224i | 1.22491 | + | 1.37643i | ||||
\(321\) | 3.66280 | − | 0.302202i | 0.204438 | − | 0.0168673i | ||||
\(322\) | 36.4955 | + | 36.4955i | 2.03381 | + | 2.03381i | ||||
\(323\) | 0.118891 | + | 0.118891i | 0.00661526 | + | 0.00661526i | ||||
\(324\) | 14.7114 | + | 43.0513i | 0.817300 | + | 2.39174i | ||||
\(325\) | 12.6742 | + | 16.0295i | 0.703036 | + | 0.889155i | ||||
\(326\) | − | 40.3805i | − | 2.23647i | ||||||
\(327\) | −11.6885 | + | 13.7907i | −0.646378 | + | 0.762629i | ||||
\(328\) | −21.1657 | + | 21.1657i | −1.16868 | + | 1.16868i | ||||
\(329\) | 14.9322 | 0.823239 | ||||||||
\(330\) | −14.6261 | − | 13.9366i | −0.805139 | − | 0.767182i | ||||
\(331\) | 3.05661 | 0.168006 | 0.0840032 | − | 0.996465i | \(-0.473229\pi\) | ||||
0.0840032 | + | 0.996465i | \(0.473229\pi\) | |||||||
\(332\) | −33.7322 | + | 33.7322i | −1.85129 | + | 1.85129i | ||||
\(333\) | −0.895292 | + | 1.25206i | −0.0490617 | + | 0.0686123i | ||||
\(334\) | − | 10.7210i | − | 0.586627i | ||||||
\(335\) | 32.1177 | + | 1.87083i | 1.75478 | + | 0.102214i | ||||
\(336\) | 6.02506 | + | 73.0259i | 0.328694 | + | 3.98389i | ||||
\(337\) | −24.0316 | − | 24.0316i | −1.30909 | − | 1.30909i | −0.922075 | − | 0.387011i | \(-0.873507\pi\) |
−0.387011 | − | 0.922075i | \(-0.626493\pi\) | |||||||
\(338\) | −6.95512 | − | 6.95512i | −0.378309 | − | 0.378309i | ||||
\(339\) | −0.834774 | − | 10.1178i | −0.0453387 | − | 0.549521i | ||||
\(340\) | −1.89731 | − | 0.110517i | −0.102896 | − | 0.00599363i | ||||
\(341\) | − | 9.95576i | − | 0.539135i | ||||||
\(342\) | −4.63485 | + | 6.48180i | −0.250624 | + | 0.350495i | ||||
\(343\) | 0.871510 | − | 0.871510i | 0.0470571 | − | 0.0470571i | ||||
\(344\) | −70.6402 | −3.80867 | ||||||||
\(345\) | −14.7380 | − | 14.0432i | −0.793465 | − | 0.756059i | ||||
\(346\) | 15.9112 | 0.855390 | ||||||||
\(347\) | 3.65859 | − | 3.65859i | 0.196404 | − | 0.196404i | −0.602053 | − | 0.798456i | \(-0.705650\pi\) |
0.798456 | + | 0.602053i | \(0.205650\pi\) | |||||||
\(348\) | 45.9290 | − | 54.1894i | 2.46206 | − | 2.90486i | ||||
\(349\) | − | 24.5763i | − | 1.31554i | −0.753219 | − | 0.657770i | \(-0.771500\pi\) | ||
0.753219 | − | 0.657770i | \(-0.228500\pi\) | |||||||
\(350\) | 5.70033 | − | 48.7645i | 0.304695 | − | 2.60657i | ||||
\(351\) | 5.19135 | + | 20.5921i | 0.277094 | + | 1.09912i | ||||
\(352\) | −19.6722 | − | 19.6722i | −1.04853 | − | 1.04853i | ||||
\(353\) | 24.7354 | + | 24.7354i | 1.31653 | + | 1.31653i | 0.916503 | + | 0.400029i | \(0.131000\pi\) |
0.400029 | + | 0.916503i | \(0.369000\pi\) | |||||||
\(354\) | 21.2354 | − | 1.75205i | 1.12865 | − | 0.0931202i | ||||
\(355\) | −0.0235491 | − | 0.0264622i | −0.00124986 | − | 0.00140447i | ||||
\(356\) | 45.5994i | 2.41676i | ||||||||
\(357\) | −0.821290 | − | 0.696097i | −0.0434673 | − | 0.0368413i | ||||
\(358\) | 0.805286 | − | 0.805286i | 0.0425607 | − | 0.0425607i | ||||
\(359\) | −28.2245 | −1.48963 | −0.744815 | − | 0.667271i | \(-0.767462\pi\) | ||||
−0.744815 | + | 0.667271i | \(0.767462\pi\) | |||||||
\(360\) | −5.78392 | − | 54.1266i | −0.304839 | − | 2.85272i | ||||
\(361\) | −1.00000 | −0.0526316 | ||||||||
\(362\) | 0.906985 | − | 0.906985i | 0.0476701 | − | 0.0476701i | ||||
\(363\) | −9.43833 | − | 7.99960i | −0.495384 | − | 0.419870i | ||||
\(364\) | 76.3758i | 4.00318i | ||||||||
\(365\) | −1.18367 | + | 20.3208i | −0.0619562 | + | 1.06364i | ||||
\(366\) | 22.7585 | − | 1.87771i | 1.18961 | − | 0.0981493i | ||||
\(367\) | 1.22150 | + | 1.22150i | 0.0637616 | + | 0.0637616i | 0.738269 | − | 0.674507i | \(-0.235644\pi\) |
−0.674507 | + | 0.738269i | \(0.735644\pi\) | |||||||
\(368\) | −42.5322 | − | 42.5322i | −2.21714 | − | 2.21714i | ||||
\(369\) | 10.9165 | − | 1.81370i | 0.568293 | − | 0.0944176i | ||||
\(370\) | 2.27642 | − | 2.02582i | 0.118345 | − | 0.105317i | ||||
\(371\) | − | 11.4649i | − | 0.595230i | ||||||
\(372\) | 28.6987 | − | 33.8602i | 1.48796 | − | 1.75557i | ||||
\(373\) | 9.08310 | − | 9.08310i | 0.470305 | − | 0.470305i | −0.431708 | − | 0.902013i | \(-0.642089\pi\) |
0.902013 | + | 0.431708i | \(0.142089\pi\) | |||||||
\(374\) | 0.877057 | 0.0453515 | ||||||||
\(375\) | −1.78352 | + | 19.2826i | −0.0921004 | + | 0.995750i | ||||
\(376\) | −32.7765 | −1.69032 | ||||||||
\(377\) | 23.4460 | − | 23.4460i | 1.20753 | − | 1.20753i | ||||
\(378\) | 26.1643 | − | 43.8034i | 1.34574 | − | 2.25300i | ||||
\(379\) | 4.33929i | 0.222895i | 0.993770 | + | 0.111447i | \(0.0355486\pi\) | ||||
−0.993770 | + | 0.111447i | \(0.964451\pi\) | |||||||
\(380\) | 8.44401 | − | 7.51444i | 0.433168 | − | 0.385483i | ||||
\(381\) | −2.09874 | − | 25.4375i | −0.107522 | − | 1.30320i | ||||
\(382\) | −35.2963 | − | 35.2963i | −1.80592 | − | 1.80592i | ||||
\(383\) | 13.7042 | + | 13.7042i | 0.700251 | + | 0.700251i | 0.964464 | − | 0.264213i | \(-0.0851123\pi\) |
−0.264213 | + | 0.964464i | \(0.585112\pi\) | |||||||
\(384\) | −1.54098 | − | 18.6773i | −0.0786379 | − | 0.953120i | ||||
\(385\) | −0.944026 | + | 16.2067i | −0.0481120 | + | 0.825968i | ||||
\(386\) | − | 23.6917i | − | 1.20588i | ||||||
\(387\) | 21.2436 | + | 15.1903i | 1.07987 | + | 0.772169i | ||||
\(388\) | 17.4487 | − | 17.4487i | 0.885823 | − | 0.885823i | ||||
\(389\) | 9.78146 | 0.495940 | 0.247970 | − | 0.968768i | \(-0.420237\pi\) | ||||
0.247970 | + | 0.968768i | \(0.420237\pi\) | |||||||
\(390\) | −1.01465 | − | 42.0309i | −0.0513787 | − | 2.12832i | ||||
\(391\) | 0.883765 | 0.0446939 | ||||||||
\(392\) | 38.2525 | − | 38.2525i | 1.93204 | − | 1.93204i | ||||
\(393\) | 22.4690 | − | 26.5100i | 1.13341 | − | 1.33725i | ||||
\(394\) | 23.3486i | 1.17629i | ||||||||
\(395\) | 7.36769 | + | 8.27910i | 0.370709 | + | 0.416567i | ||||
\(396\) | 4.88123 | + | 29.3798i | 0.245291 | + | 1.47639i | ||||
\(397\) | −3.88246 | − | 3.88246i | −0.194855 | − | 0.194855i | 0.602935 | − | 0.797790i | \(-0.293998\pi\) |
−0.797790 | + | 0.602935i | \(0.793998\pi\) | |||||||
\(398\) | 31.5431 | + | 31.5431i | 1.58111 | + | 1.58111i | ||||
\(399\) | 6.38143 | − | 0.526505i | 0.319471 | − | 0.0263582i | ||||
\(400\) | −6.64321 | + | 56.8306i | −0.332161 | + | 2.84153i | ||||
\(401\) | 2.63083i | 0.131377i | 0.997840 | + | 0.0656887i | \(0.0209244\pi\) | ||||
−0.997840 | + | 0.0656887i | \(0.979076\pi\) | |||||||
\(402\) | −50.4950 | − | 42.7978i | −2.51846 | − | 2.13456i | ||||
\(403\) | 14.6502 | − | 14.6502i | 0.729780 | − | 0.729780i | ||||
\(404\) | −68.3501 | −3.40054 | ||||||||
\(405\) | −9.89989 | + | 17.5212i | −0.491929 | + | 0.870635i | ||||
\(406\) | −79.6647 | −3.95369 | ||||||||
\(407\) | −0.712489 | + | 0.712489i | −0.0353168 | + | 0.0353168i | ||||
\(408\) | 1.80275 | + | 1.52795i | 0.0892495 | + | 0.0756448i | ||||
\(409\) | − | 37.0209i | − | 1.83057i | −0.402809 | − | 0.915284i | \(-0.631966\pi\) | ||
0.402809 | − | 0.915284i | \(-0.368034\pi\) | |||||||
\(410\) | −21.8714 | − | 1.27399i | −1.08015 | − | 0.0629180i | ||||
\(411\) | 9.37995 | − | 0.773900i | 0.462679 | − | 0.0381737i | ||||
\(412\) | 6.40982 | + | 6.40982i | 0.315789 | + | 0.315789i | ||||
\(413\) | −12.1071 | − | 12.1071i | −0.595749 | − | 0.595749i | ||||
\(414\) | 6.86457 | + | 41.3173i | 0.337375 | + | 2.03064i | ||||
\(415\) | −21.0660 | − | 1.22708i | −1.03409 | − | 0.0602350i | ||||
\(416\) | − | 57.8965i | − | 2.83861i | ||||||
\(417\) | −19.6124 | + | 23.1397i | −0.960423 | + | 1.13316i | ||||
\(418\) | −3.68850 | + | 3.68850i | −0.180410 | + | 0.180410i | ||||
\(419\) | −34.0978 | −1.66579 | −0.832893 | − | 0.553434i | \(-0.813317\pi\) | ||||
−0.832893 | + | 0.553434i | \(0.813317\pi\) | |||||||
\(420\) | −49.9284 | + | 52.3987i | −2.43626 | + | 2.55679i | ||||
\(421\) | 6.65747 | 0.324465 | 0.162233 | − | 0.986753i | \(-0.448131\pi\) | ||||
0.162233 | + | 0.986753i | \(0.448131\pi\) | |||||||
\(422\) | 7.49863 | − | 7.49863i | 0.365028 | − | 0.365028i | ||||
\(423\) | 9.85686 | + | 7.04821i | 0.479257 | + | 0.342696i | ||||
\(424\) | 25.1658i | 1.22216i | ||||||||
\(425\) | −0.521415 | − | 0.659453i | −0.0252923 | − | 0.0319882i | ||||
\(426\) | 0.00599275 | + | 0.0726343i | 0.000290350 | + | 0.00351914i | ||||
\(427\) | −12.9754 | − | 12.9754i | −0.627924 | − | 0.627924i | ||||
\(428\) | 7.58467 | + | 7.58467i | 0.366619 | + | 0.366619i | ||||
\(429\) | 1.14310 | + | 13.8548i | 0.0551894 | + | 0.668916i | ||||
\(430\) | −34.3719 | − | 38.6238i | −1.65756 | − | 1.86261i | ||||
\(431\) | − | 36.4095i | − | 1.75378i | −0.480688 | − | 0.876892i | \(-0.659613\pi\) | ||
0.480688 | − | 0.876892i | \(-0.340387\pi\) | |||||||
\(432\) | −30.4921 | + | 51.0489i | −1.46705 | + | 2.45609i | ||||
\(433\) | −11.5129 | + | 11.5129i | −0.553272 | + | 0.553272i | −0.927384 | − | 0.374111i | \(-0.877948\pi\) |
0.374111 | + | 0.927384i | \(0.377948\pi\) | |||||||
\(434\) | −49.7784 | −2.38944 | ||||||||
\(435\) | 31.4126 | − | 0.758318i | 1.50612 | − | 0.0363586i | ||||
\(436\) | −52.7607 | −2.52678 | ||||||||
\(437\) | −3.71671 | + | 3.71671i | −0.177794 | + | 0.177794i | ||||
\(438\) | 27.0781 | − | 31.9481i | 1.29384 | − | 1.52654i | ||||
\(439\) | 8.40975i | 0.401376i | 0.979655 | + | 0.200688i | \(0.0643177\pi\) | ||||
−0.979655 | + | 0.200688i | \(0.935682\pi\) | |||||||
\(440\) | 2.07216 | − | 35.5740i | 0.0987864 | − | 1.69593i | ||||
\(441\) | −19.7294 | + | 3.27789i | −0.939494 | + | 0.156090i | ||||
\(442\) | 1.29062 | + | 1.29062i | 0.0613884 | + | 0.0613884i | ||||
\(443\) | −22.7565 | − | 22.7565i | −1.08119 | − | 1.08119i | −0.996398 | − | 0.0847955i | \(-0.972976\pi\) |
−0.0847955 | − | 0.996398i | \(-0.527024\pi\) | |||||||
\(444\) | −4.47706 | + | 0.369383i | −0.212472 | + | 0.0175302i | ||||
\(445\) | −15.0680 | + | 13.4092i | −0.714291 | + | 0.635657i | ||||
\(446\) | 16.5467i | 0.783508i | ||||||||
\(447\) | 4.14947 | + | 3.51694i | 0.196263 | + | 0.166346i | ||||
\(448\) | −38.5321 | + | 38.5321i | −1.82047 | + | 1.82047i | ||||
\(449\) | −4.04160 | −0.190735 | −0.0953675 | − | 0.995442i | \(-0.530403\pi\) | ||||
−0.0953675 | + | 0.995442i | \(0.530403\pi\) | |||||||
\(450\) | 26.7804 | − | 29.4992i | 1.26244 | − | 1.39060i | ||||
\(451\) | 7.24420 | 0.341116 | ||||||||
\(452\) | 20.9512 | − | 20.9512i | 0.985460 | − | 0.985460i | ||||
\(453\) | −26.4294 | − | 22.4006i | −1.24176 | − | 1.05247i | ||||
\(454\) | − | 9.22197i | − | 0.432808i | ||||||
\(455\) | −25.2378 | + | 22.4595i | −1.18317 | + | 1.05292i | ||||
\(456\) | −14.0074 | + | 1.15569i | −0.655956 | + | 0.0541202i | ||||
\(457\) | −14.4297 | − | 14.4297i | −0.674995 | − | 0.674995i | 0.283869 | − | 0.958863i | \(-0.408382\pi\) |
−0.958863 | + | 0.283869i | \(0.908382\pi\) | |||||||
\(458\) | −23.8485 | − | 23.8485i | −1.11437 | − | 1.11437i | ||||
\(459\) | −0.213572 | − | 0.847159i | −0.00996870 | − | 0.0395420i | ||||
\(460\) | 3.45493 | − | 59.3129i | 0.161087 | − | 2.76548i | ||||
\(461\) | − | 3.12091i | − | 0.145355i | −0.997355 | − | 0.0726776i | \(-0.976846\pi\) | ||
0.997355 | − | 0.0726776i | \(-0.0231544\pi\) | |||||||
\(462\) | 21.5959 | − | 25.4799i | 1.00473 | − | 1.18543i | ||||
\(463\) | −23.4962 | + | 23.4962i | −1.09196 | + | 1.09196i | −0.0966432 | + | 0.995319i | \(0.530811\pi\) |
−0.995319 | + | 0.0966432i | \(0.969189\pi\) | |||||||
\(464\) | 92.8420 | 4.31008 | ||||||||
\(465\) | 19.6282 | − | 0.473835i | 0.910234 | − | 0.0219735i | ||||
\(466\) | 69.9103 | 3.23853 | ||||||||
\(467\) | 3.11320 | − | 3.11320i | 0.144061 | − | 0.144061i | −0.631398 | − | 0.775459i | \(-0.717518\pi\) |
0.775459 | + | 0.631398i | \(0.217518\pi\) | |||||||
\(468\) | −36.0504 | + | 50.4162i | −1.66643 | + | 2.33049i | ||||
\(469\) | 53.1895i | 2.45606i | ||||||||
\(470\) | −15.9483 | − | 17.9212i | −0.735640 | − | 0.826641i | ||||
\(471\) | 0.327127 | + | 3.96490i | 0.0150732 | + | 0.182693i | ||||
\(472\) | 26.5753 | + | 26.5753i | 1.22323 | + | 1.22323i | ||||
\(473\) | 12.0887 | + | 12.0887i | 0.555841 | + | 0.555841i | ||||
\(474\) | −1.87492 | − | 22.7247i | −0.0861180 | − | 1.04378i | ||||
\(475\) | 4.96619 | + | 0.580522i | 0.227864 | + | 0.0266362i | ||||
\(476\) | − | 3.14210i | − | 0.144018i | ||||||
\(477\) | 5.41161 | − | 7.56810i | 0.247781 | − | 0.346519i | ||||
\(478\) | 3.15499 | − | 3.15499i | 0.144306 | − | 0.144306i | ||||
\(479\) | 16.2403 | 0.742039 | 0.371020 | − | 0.928625i | \(-0.379008\pi\) | ||||
0.371020 | + | 0.928625i | \(0.379008\pi\) | |||||||
\(480\) | 37.8482 | − | 39.7207i | 1.72752 | − | 1.81299i | ||||
\(481\) | −2.09690 | −0.0956105 | ||||||||
\(482\) | −30.2504 | + | 30.2504i | −1.37787 | + | 1.37787i | ||||
\(483\) | 21.7610 | − | 25.6748i | 0.990162 | − | 1.16824i | ||||
\(484\) | − | 36.1093i | − | 1.64133i | ||||||
\(485\) | 10.8969 | + | 0.634733i | 0.494801 | + | 0.0288217i | ||||
\(486\) | 37.9470 | − | 16.5651i | 1.72131 | − | 0.751406i | ||||
\(487\) | 24.5020 | + | 24.5020i | 1.11029 | + | 1.11029i | 0.993111 | + | 0.117181i | \(0.0373859\pi\) |
0.117181 | + | 0.993111i | \(0.462614\pi\) | |||||||
\(488\) | 28.4813 | + | 28.4813i | 1.28929 | + | 1.28929i | ||||
\(489\) | −26.2427 | + | 2.16517i | −1.18674 | + | 0.0979125i | ||||
\(490\) | 39.5280 | + | 2.30247i | 1.78569 | + | 0.104015i | ||||
\(491\) | 13.8631i | 0.625634i | 0.949813 | + | 0.312817i | \(0.101273\pi\) | ||||
−0.949813 | + | 0.312817i | \(0.898727\pi\) | |||||||
\(492\) | 24.6380 | + | 20.8823i | 1.11077 | + | 0.941448i | ||||
\(493\) | −0.964570 | + | 0.964570i | −0.0434420 | + | 0.0434420i | ||||
\(494\) | −10.8555 | −0.488411 | ||||||||
\(495\) | −8.27293 | + | 10.2526i | −0.371841 | + | 0.460818i | ||||
\(496\) | 58.0122 | 2.60483 | ||||||||
\(497\) | 0.0414113 | − | 0.0414113i | 0.00185755 | − | 0.00185755i | ||||
\(498\) | 33.1197 | + | 28.0711i | 1.48413 | + | 1.25790i | ||||
\(499\) | 9.59691i | 0.429617i | 0.976656 | + | 0.214808i | \(0.0689127\pi\) | ||||
−0.976656 | + | 0.214808i | \(0.931087\pi\) | |||||||
\(500\) | −46.2968 | + | 32.4162i | −2.07046 | + | 1.44970i | ||||
\(501\) | −6.96743 | + | 0.574853i | −0.311282 | + | 0.0256825i | ||||
\(502\) | 19.5020 | + | 19.5020i | 0.870419 | + | 0.870419i | ||||
\(503\) | −1.44429 | − | 1.44429i | −0.0643976 | − | 0.0643976i | 0.674174 | − | 0.738572i | \(-0.264500\pi\) |
−0.738572 | + | 0.674174i | \(0.764500\pi\) | |||||||
\(504\) | 88.7787 | − | 14.7499i | 3.95452 | − | 0.657013i | ||||
\(505\) | −20.0994 | − | 22.5858i | −0.894412 | − | 1.00505i | ||||
\(506\) | 27.4181i | 1.21888i | ||||||||
\(507\) | −4.14711 | + | 4.89297i | −0.184180 | + | 0.217304i | ||||
\(508\) | 52.6742 | − | 52.6742i | 2.33704 | − | 2.33704i | ||||
\(509\) | 7.68992 | 0.340850 | 0.170425 | − | 0.985371i | \(-0.445486\pi\) | ||||
0.170425 | + | 0.985371i | \(0.445486\pi\) | |||||||
\(510\) | 0.0417426 | + | 1.72915i | 0.00184840 | + | 0.0765681i | ||||
\(511\) | −33.6529 | −1.48872 | ||||||||
\(512\) | −16.6942 | + | 16.6942i | −0.737787 | + | 0.737787i | ||||
\(513\) | 4.46095 | + | 2.66457i | 0.196956 | + | 0.117644i | ||||
\(514\) | − | 68.1924i | − | 3.00784i | ||||||
\(515\) | −0.233171 | + | 4.00299i | −0.0102747 | + | 0.176393i | ||||
\(516\) | 6.26730 | + | 75.9619i | 0.275902 | + | 3.34404i | ||||
\(517\) | 5.60909 | + | 5.60909i | 0.246687 | + | 0.246687i | ||||
\(518\) | 3.56242 | + | 3.56242i | 0.156524 | + | 0.156524i | ||||
\(519\) | −0.853146 | − | 10.3404i | −0.0374490 | − | 0.453895i | ||||
\(520\) | 55.3977 | − | 49.2991i | 2.42935 | − | 2.16191i | ||||
\(521\) | 30.8124i | 1.34992i | 0.737856 | + | 0.674958i | \(0.235838\pi\) | ||||
−0.737856 | + | 0.674958i | \(0.764162\pi\) | |||||||
\(522\) | −52.5873 | − | 37.6029i | −2.30168 | − | 1.64583i | ||||
\(523\) | −4.40699 | + | 4.40699i | −0.192704 | + | 0.192704i | −0.796864 | − | 0.604159i | \(-0.793509\pi\) |
0.604159 | + | 0.796864i | \(0.293509\pi\) | |||||||
\(524\) | 101.422 | 4.43065 | ||||||||
\(525\) | −31.9970 | − | 1.08984i | −1.39646 | − | 0.0475646i | ||||
\(526\) | −41.3743 | −1.80400 | ||||||||
\(527\) | −0.602711 | + | 0.602711i | −0.0262545 | + | 0.0262545i | ||||
\(528\) | −25.1680 | + | 29.6945i | −1.09530 | + | 1.29229i | ||||
\(529\) | 4.62786i | 0.201211i | ||||||||
\(530\) | −13.7599 | + | 12.2451i | −0.597691 | + | 0.531893i | ||||
\(531\) | −2.27726 | − | 13.7067i | −0.0988246 | − | 0.594819i | ||||
\(532\) | 13.2142 | + | 13.2142i | 0.572909 | + | 0.572909i | ||||
\(533\) | 10.6601 | + | 10.6601i | 0.461740 | + | 0.461740i | ||||
\(534\) | 41.3590 | − | 3.41236i | 1.78978 | − | 0.147667i | ||||
\(535\) | −0.275909 | + | 4.73669i | −0.0119286 | + | 0.204785i | ||||
\(536\) | − | 116.752i | − | 5.04293i | ||||||
\(537\) | −0.566523 | − | 0.480165i | −0.0244473 | − | 0.0207207i | ||||
\(538\) | −6.74268 | + | 6.74268i | −0.290697 | + | 0.290697i | ||||
\(539\) | −13.0924 | −0.563929 | ||||||||
\(540\) | −57.6911 | + | 11.0218i | −2.48263 | + | 0.474304i | ||||
\(541\) | 30.7416 | 1.32169 | 0.660843 | − | 0.750524i | \(-0.270199\pi\) | ||||
0.660843 | + | 0.750524i | \(0.270199\pi\) | |||||||
\(542\) | −38.1420 | + | 38.1420i | −1.63834 | + | 1.63834i | ||||
\(543\) | −0.638069 | − | 0.540805i | −0.0273822 | − | 0.0232082i | ||||
\(544\) | 2.38186i | 0.102122i | ||||||||
\(545\) | −15.5151 | − | 17.4344i | −0.664595 | − | 0.746808i | ||||
\(546\) | 69.2735 | − | 5.71546i | 2.96463 | − | 0.244599i | ||||
\(547\) | −24.7815 | − | 24.7815i | −1.05958 | − | 1.05958i | −0.998109 | − | 0.0614735i | \(-0.980420\pi\) |
−0.0614735 | − | 0.998109i | \(-0.519580\pi\) | |||||||
\(548\) | 19.4234 | + | 19.4234i | 0.829725 | + | 0.829725i | ||||
\(549\) | −2.44059 | − | 14.6897i | −0.104162 | − | 0.626943i | ||||
\(550\) | 20.4590 | − | 16.1765i | 0.872375 | − | 0.689768i | ||||
\(551\) | − | 8.11307i | − | 0.345629i | ||||||
\(552\) | −47.7661 | + | 56.3568i | −2.03306 | + | 2.39870i | ||||
\(553\) | −12.9562 | + | 12.9562i | −0.550952 | + | 0.550952i | ||||
\(554\) | −33.2556 | −1.41290 | ||||||||
\(555\) | −1.43861 | − | 1.37079i | −0.0610656 | − | 0.0581868i | ||||
\(556\) | −88.5281 | −3.75443 | ||||||||
\(557\) | −20.4367 | + | 20.4367i | −0.865930 | + | 0.865930i | −0.992019 | − | 0.126089i | \(-0.959758\pi\) |
0.126089 | + | 0.992019i | \(0.459758\pi\) | |||||||
\(558\) | −32.8591 | − | 23.4961i | −1.39104 | − | 0.994670i | ||||
\(559\) | 35.5780i | 1.50479i | ||||||||
\(560\) | −94.4363 | − | 5.50084i | −3.99066 | − | 0.232453i | ||||
\(561\) | −0.0470272 | − | 0.569987i | −0.00198549 | − | 0.0240649i | ||||
\(562\) | 24.4098 | + | 24.4098i | 1.02967 | + | 1.02967i | ||||
\(563\) | 19.1295 | + | 19.1295i | 0.806211 | + | 0.806211i | 0.984058 | − | 0.177847i | \(-0.0569133\pi\) |
−0.177847 | + | 0.984058i | \(0.556913\pi\) | |||||||
\(564\) | 2.90798 | + | 35.2458i | 0.122448 | + | 1.48411i | ||||
\(565\) | 13.0842 | + | 0.762143i | 0.550455 | + | 0.0320636i | ||||
\(566\) | 31.9211i | 1.34175i | ||||||||
\(567\) | −29.8701 | − | 14.6551i | −1.25443 | − | 0.615455i | ||||
\(568\) | −0.0908990 | + | 0.0908990i | −0.00381404 | + | 0.00381404i | ||||
\(569\) | 17.8694 | 0.749123 | 0.374562 | − | 0.927202i | \(-0.377793\pi\) | ||||
0.374562 | + | 0.927202i | \(0.377793\pi\) | |||||||
\(570\) | −7.44756 | − | 7.09646i | −0.311944 | − | 0.297238i | ||||
\(571\) | 38.3869 | 1.60644 | 0.803221 | − | 0.595682i | \(-0.203118\pi\) | ||||
0.803221 | + | 0.595682i | \(0.203118\pi\) | |||||||
\(572\) | −28.6896 | + | 28.6896i | −1.19957 | + | 1.19957i | ||||
\(573\) | −21.0460 | + | 24.8312i | −0.879210 | + | 1.03734i | ||||
\(574\) | − | 36.2207i | − | 1.51182i | ||||||
\(575\) | 20.6155 | − | 16.3002i | 0.859726 | − | 0.679767i | ||||
\(576\) | −43.6231 | + | 7.24764i | −1.81763 | + | 0.301985i | ||||
\(577\) | 21.9754 | + | 21.9754i | 0.914850 | + | 0.914850i | 0.996649 | − | 0.0817993i | \(-0.0260666\pi\) |
−0.0817993 | + | 0.996649i | \(0.526067\pi\) | |||||||
\(578\) | 31.8758 | + | 31.8758i | 1.32586 | + | 1.32586i | ||||
\(579\) | −15.3969 | + | 1.27033i | −0.639874 | + | 0.0527933i | ||||
\(580\) | 60.9652 | + | 68.5069i | 2.53144 | + | 2.84459i | ||||
\(581\) | − | 34.8870i | − | 1.44736i | ||||||
\(582\) | −17.1319 | − | 14.5204i | −0.710139 | − | 0.601889i | ||||
\(583\) | 4.30666 | − | 4.30666i | 0.178364 | − | 0.178364i | ||||
\(584\) | 73.8689 | 3.05672 | ||||||||
\(585\) | −27.2609 | + | 2.91307i | −1.12710 | + | 0.120441i | ||||
\(586\) | −55.3301 | −2.28566 | ||||||||
\(587\) | −13.7985 | + | 13.7985i | −0.569525 | + | 0.569525i | −0.931995 | − | 0.362471i | \(-0.881933\pi\) |
0.362471 | + | 0.931995i | \(0.381933\pi\) | |||||||
\(588\) | −44.5281 | − | 37.7404i | −1.83631 | − | 1.55639i | ||||
\(589\) | − | 5.06945i | − | 0.208883i | ||||||
\(590\) | −1.59961 | + | 27.4614i | −0.0658547 | + | 1.13057i | ||||
\(591\) | 15.1739 | − | 1.25194i | 0.624172 | − | 0.0514978i | ||||
\(592\) | −4.15167 | − | 4.15167i | −0.170633 | − | 0.170633i | ||||
\(593\) | −21.3842 | − | 21.3842i | −0.878144 | − | 0.878144i | 0.115198 | − | 0.993343i | \(-0.463250\pi\) |
−0.993343 | + | 0.115198i | \(0.963250\pi\) | |||||||
\(594\) | 26.2824 | − | 6.62591i | 1.07838 | − | 0.271864i | ||||
\(595\) | 1.03828 | − | 0.923983i | 0.0425655 | − | 0.0378796i | ||||
\(596\) | 15.8751i | 0.650269i | ||||||||
\(597\) | 18.8081 | − | 22.1907i | 0.769764 | − | 0.908206i | ||||
\(598\) | −40.3467 | + | 40.3467i | −1.64990 | + | 1.64990i | ||||
\(599\) | −44.7670 | −1.82913 | −0.914564 | − | 0.404441i | \(-0.867466\pi\) | ||||
−0.914564 | + | 0.404441i | \(0.867466\pi\) | |||||||
\(600\) | 70.2342 | + | 2.39223i | 2.86730 | + | 0.0976624i | ||||
\(601\) | 21.1545 | 0.862909 | 0.431455 | − | 0.902135i | \(-0.358001\pi\) | ||||
0.431455 | + | 0.902135i | \(0.358001\pi\) | |||||||
\(602\) | 60.4433 | − | 60.4433i | 2.46348 | − | 2.46348i | ||||
\(603\) | −25.1062 | + | 35.1108i | −1.02240 | + | 1.42982i | ||||
\(604\) | − | 101.114i | − | 4.11426i | ||||||
\(605\) | 11.9320 | − | 10.6185i | 0.485107 | − | 0.431703i | ||||
\(606\) | 5.11487 | + | 61.9941i | 0.207778 | + | 2.51834i | ||||
\(607\) | −25.4585 | − | 25.4585i | −1.03333 | − | 1.03333i | −0.999425 | − | 0.0339018i | \(-0.989207\pi\) |
−0.0339018 | − | 0.999425i | \(-0.510793\pi\) | |||||||
\(608\) | −10.0170 | − | 10.0170i | −0.406244 | − | 0.406244i | ||||
\(609\) | 4.27157 | + | 51.7730i | 0.173093 | + | 2.09795i | ||||
\(610\) | −1.71433 | + | 29.4310i | −0.0694113 | + | 1.19163i | ||||
\(611\) | 16.5079i | 0.667839i | ||||||||
\(612\) | 1.48312 | − | 2.07412i | 0.0599514 | − | 0.0838415i | ||||
\(613\) | −18.5170 | + | 18.5170i | −0.747894 | + | 0.747894i | −0.974083 | − | 0.226190i | \(-0.927373\pi\) |
0.226190 | + | 0.974083i | \(0.427373\pi\) | |||||||
\(614\) | −10.3932 | −0.419435 | ||||||||
\(615\) | 0.344781 | + | 14.2822i | 0.0139029 | + | 0.575915i | ||||
\(616\) | 58.9134 | 2.37369 | ||||||||
\(617\) | −0.509575 | + | 0.509575i | −0.0205147 | + | 0.0205147i | −0.717290 | − | 0.696775i | \(-0.754618\pi\) |
0.696775 | + | 0.717290i | \(0.254618\pi\) | |||||||
\(618\) | 5.33410 | − | 6.29343i | 0.214569 | − | 0.253159i | ||||
\(619\) | − | 5.94443i | − | 0.238927i | −0.992839 | − | 0.119463i | \(-0.961883\pi\) | ||
0.992839 | − | 0.119463i | \(-0.0381174\pi\) | |||||||
\(620\) | 38.0941 | + | 42.8064i | 1.52989 | + | 1.71915i | ||||
\(621\) | 26.4835 | − | 6.67659i | 1.06275 | − | 0.267923i | ||||
\(622\) | 44.6027 | + | 44.6027i | 1.78840 | + | 1.78840i | ||||
\(623\) | −23.5802 | − | 23.5802i | −0.944722 | − | 0.944722i | ||||
\(624\) | −80.7320 | + | 6.66085i | −3.23186 | + | 0.266648i | ||||
\(625\) | −24.3260 | − | 5.76596i | −0.973039 | − | 0.230639i | ||||
\(626\) | − | 37.3828i | − | 1.49412i | ||||||
\(627\) | 2.59488 | + | 2.19933i | 0.103629 | + | 0.0878326i | ||||
\(628\) | −8.21023 | + | 8.21023i | −0.327624 | + | 0.327624i | ||||
\(629\) | 0.0862666 | 0.00343967 | ||||||||
\(630\) | 51.2624 | + | 41.3644i | 2.04234 | + | 1.64800i | ||||
\(631\) | −23.7519 | −0.945549 | −0.472775 | − | 0.881183i | \(-0.656748\pi\) | ||||
−0.472775 | + | 0.881183i | \(0.656748\pi\) | |||||||
\(632\) | 28.4391 | − | 28.4391i | 1.13125 | − | 1.13125i | ||||
\(633\) | −5.27533 | − | 4.47118i | −0.209675 | − | 0.177714i | ||||
\(634\) | − | 8.68640i | − | 0.344981i | ||||||
\(635\) | 32.8955 | + | 1.91614i | 1.30542 | + | 0.0760396i | ||||
\(636\) | 27.0617 | − | 2.23275i | 1.07307 | − | 0.0885342i | ||||
\(637\) | −19.2659 | − | 19.2659i | −0.763342 | − | 0.763342i | ||||
\(638\) | −29.9250 | − | 29.9250i | −1.18474 | − | 1.18474i | ||||
\(639\) | 0.0468827 | − | 0.00778921i | 0.00185465 | − | 0.000308136i | ||||
\(640\) | 24.1532 | + | 1.40691i | 0.954740 | + | 0.0556129i | ||||
\(641\) | − | 33.5684i | − | 1.32587i | −0.748676 | − | 0.662936i | \(-0.769310\pi\) | ||
0.748676 | − | 0.662936i | \(-0.230690\pi\) | |||||||
\(642\) | 6.31178 | − | 7.44695i | 0.249106 | − | 0.293908i | ||||
\(643\) | 20.0512 | − | 20.0512i | 0.790744 | − | 0.790744i | −0.190871 | − | 0.981615i | \(-0.561131\pi\) |
0.981615 | + | 0.190871i | \(0.0611313\pi\) | |||||||
\(644\) | 98.2268 | 3.87068 | ||||||||
\(645\) | −23.2581 | + | 24.4088i | −0.915786 | + | 0.961095i | ||||
\(646\) | 0.446595 | 0.0175710 | ||||||||
\(647\) | 7.32994 | − | 7.32994i | 0.288170 | − | 0.288170i | −0.548187 | − | 0.836356i | \(-0.684682\pi\) |
0.836356 | + | 0.548187i | \(0.184682\pi\) | |||||||
\(648\) | 65.5657 | + | 32.1683i | 2.57566 | + | 1.26369i | ||||
\(649\) | − | 9.09572i | − | 0.357038i | ||||||
\(650\) | 53.9104 | + | 6.30185i | 2.11454 | + | 0.247179i | ||||
\(651\) | 2.66909 | + | 32.3503i | 0.104610 | + | 1.26791i | ||||
\(652\) | −54.3416 | − | 54.3416i | −2.12818 | − | 2.12818i | ||||
\(653\) | 0.929053 | + | 0.929053i | 0.0363567 | + | 0.0363567i | 0.725051 | − | 0.688695i | \(-0.241816\pi\) |
−0.688695 | + | 0.725051i | \(0.741816\pi\) | |||||||
\(654\) | 3.94827 | + | 47.8545i | 0.154390 | + | 1.87126i | ||||
\(655\) | 29.8248 | + | 33.5142i | 1.16535 | + | 1.30951i | ||||
\(656\) | 42.2120i | 1.64810i | ||||||||
\(657\) | −22.2145 | − | 15.8846i | −0.866671 | − | 0.619719i | ||||
\(658\) | 28.0452 | − | 28.0452i | 1.09332 | − | 1.09332i | ||||
\(659\) | 0.146567 | 0.00570943 | 0.00285471 | − | 0.999996i | \(-0.499091\pi\) | ||||
0.00285471 | + | 0.999996i | \(0.499091\pi\) | |||||||
\(660\) | −38.4379 | + | 0.927911i | −1.49619 | + | 0.0361189i | ||||
\(661\) | 20.9876 | 0.816323 | 0.408162 | − | 0.912910i | \(-0.366170\pi\) | ||||
0.408162 | + | 0.912910i | \(0.366170\pi\) | |||||||
\(662\) | 5.74083 | − | 5.74083i | 0.223124 | − | 0.223124i | ||||
\(663\) | 0.769552 | − | 0.907957i | 0.0298869 | − | 0.0352621i | ||||
\(664\) | 76.5779i | 2.97180i | ||||||||
\(665\) | −0.480695 | + | 8.25239i | −0.0186406 | + | 0.320014i | ||||
\(666\) | 0.670068 | + | 4.03309i | 0.0259646 | + | 0.156279i | ||||
\(667\) | −30.1539 | − | 30.1539i | −1.16756 | − | 1.16756i | ||||
\(668\) | −14.4277 | − | 14.4277i | −0.558224 | − | 0.558224i | ||||
\(669\) | 10.7534 | − | 0.887222i | 0.415752 | − | 0.0343020i | ||||
\(670\) | 63.8364 | − | 56.8089i | 2.46621 | − | 2.19472i | ||||
\(671\) | − | 9.74809i | − | 0.376321i | ||||||
\(672\) | 69.1969 | + | 58.6488i | 2.66933 | + | 2.26243i | ||||
\(673\) | 31.6581 | − | 31.6581i | 1.22033 | − | 1.22033i | 0.252815 | − | 0.967515i | \(-0.418644\pi\) |
0.967515 | − | 0.252815i | \(-0.0813562\pi\) | |||||||
\(674\) | −90.2711 | −3.47711 | ||||||||
\(675\) | −20.6070 | − | 15.8224i | −0.793165 | − | 0.609006i | ||||
\(676\) | −18.7196 | −0.719983 | ||||||||
\(677\) | −9.02858 | + | 9.02858i | −0.346997 | + | 0.346997i | −0.858990 | − | 0.511993i | \(-0.828907\pi\) |
0.511993 | + | 0.858990i | \(0.328907\pi\) | |||||||
\(678\) | −20.5707 | − | 17.4350i | −0.790014 | − | 0.669589i | ||||
\(679\) | 18.0460i | 0.692543i | ||||||||
\(680\) | −2.27906 | + | 2.02817i | −0.0873980 | + | 0.0777767i | ||||
\(681\) | −5.99323 | + | 0.494476i | −0.229661 | + | 0.0189484i | ||||
\(682\) | −18.6986 | − | 18.6986i | −0.716007 | − | 0.716007i | ||||
\(683\) | 26.5061 | + | 26.5061i | 1.01423 | + | 1.01423i | 0.999897 | + | 0.0143293i | \(0.00456131\pi\) |
0.0143293 | + | 0.999897i | \(0.495439\pi\) | |||||||
\(684\) | 2.48551 | + | 14.9601i | 0.0950358 | + | 0.572014i | ||||
\(685\) | −0.706566 | + | 12.1301i | −0.0269965 | + | 0.463465i | ||||
\(686\) | − | 3.27369i | − | 0.124990i | ||||||
\(687\) | −14.2201 | + | 16.7776i | −0.542530 | + | 0.640105i | ||||
\(688\) | −70.4411 | + | 70.4411i | −2.68554 | + | 2.68554i | ||||
\(689\) | 12.6748 | 0.482871 | ||||||||
\(690\) | −54.0559 | + | 1.30494i | −2.05787 | + | 0.0496782i | ||||
\(691\) | 41.3985 | 1.57487 | 0.787437 | − | 0.616396i | \(-0.211408\pi\) | ||||
0.787437 | + | 0.616396i | \(0.211408\pi\) | |||||||
\(692\) | 21.4123 | − | 21.4123i | 0.813973 | − | 0.813973i | ||||
\(693\) | −17.7170 | − | 12.6686i | −0.673012 | − | 0.481241i | ||||
\(694\) | − | 13.7429i | − | 0.521675i | ||||||
\(695\) | −26.0331 | − | 29.2535i | −0.987491 | − | 1.10965i | ||||
\(696\) | −9.37621 | − | 113.643i | −0.355404 | − | 4.30763i | ||||
\(697\) | −0.438556 | − | 0.438556i | −0.0166115 | − | 0.0166115i | ||||
\(698\) | −46.1586 | − | 46.1586i | −1.74713 | − | 1.74713i | ||||
\(699\) | −3.74854 | − | 45.4337i | −0.141783 | − | 1.71846i | ||||
\(700\) | −57.9531 | − | 73.2954i | −2.19042 | − | 2.77031i | ||||
\(701\) | 51.1074i | 1.93030i | 0.261694 | + | 0.965151i | \(0.415719\pi\) | ||||
−0.261694 | + | 0.965151i | \(0.584281\pi\) | |||||||
\(702\) | 48.4257 | + | 28.9252i | 1.82771 | + | 1.09171i | ||||
\(703\) | −0.362797 | + | 0.362797i | −0.0136832 | + | 0.0136832i | ||||
\(704\) | −28.9482 | −1.09103 | ||||||||
\(705\) | −10.7916 | + | 11.3255i | −0.406434 | + | 0.426543i | ||||
\(706\) | 92.9146 | 3.49689 | ||||||||
\(707\) | 35.3450 | − | 35.3450i | 1.32929 | − | 1.32929i | ||||
\(708\) | 26.2196 | − | 30.9351i | 0.985391 | − | 1.16261i | ||||
\(709\) | 16.2520i | 0.610355i | 0.952295 | + | 0.305178i | \(0.0987158\pi\) | ||||
−0.952295 | + | 0.305178i | \(0.901284\pi\) | |||||||
\(710\) | −0.0939299 | − | 0.00547134i | −0.00352513 | − | 0.000205336i | ||||
\(711\) | −14.6680 | + | 2.43697i | −0.550091 | + | 0.0913935i | ||||
\(712\) | 51.7592 | + | 51.7592i | 1.93976 | + | 1.93976i | ||||
\(713\) | −18.8417 | − | 18.8417i | −0.705626 | − | 0.705626i | ||||
\(714\) | −2.84991 | + | 0.235134i | −0.106655 | + | 0.00879968i | ||||
\(715\) | −17.9169 | − | 1.04364i | −0.670053 | − | 0.0390301i | ||||
\(716\) | − | 2.16741i | − | 0.0809999i | ||||||
\(717\) | −2.21955 | − | 1.88122i | −0.0828907 | − | 0.0702553i | ||||
\(718\) | −53.0104 | + | 53.0104i | −1.97833 | + | 1.97833i | ||||
\(719\) | −10.5713 | −0.394244 | −0.197122 | − | 0.980379i | \(-0.563160\pi\) | ||||
−0.197122 | + | 0.980379i | \(0.563160\pi\) | |||||||
\(720\) | −59.7416 | − | 48.2064i | −2.22644 | − | 1.79655i | ||||
\(721\) | −6.62926 | −0.246887 | ||||||||
\(722\) | −1.87817 | + | 1.87817i | −0.0698983 | + | 0.0698983i | ||||
\(723\) | 21.2813 | + | 18.0373i | 0.791461 | + | 0.670815i | ||||
\(724\) | − | 2.44113i | − | 0.0907239i | ||||||
\(725\) | −4.70982 | + | 40.2910i | −0.174918 | + | 1.49637i | ||||
\(726\) | −32.7514 | + | 2.70218i | −1.21552 | + | 0.100287i | ||||
\(727\) | −6.13560 | − | 6.13560i | −0.227557 | − | 0.227557i | 0.584114 | − | 0.811671i | \(-0.301442\pi\) |
−0.811671 | + | 0.584114i | \(0.801442\pi\) | |||||||
\(728\) | 86.6930 | + | 86.6930i | 3.21306 | + | 3.21306i | ||||
\(729\) | −12.8001 | − | 23.7730i | −0.474077 | − | 0.880483i | ||||
\(730\) | 35.9429 | + | 40.3892i | 1.33031 | + | 1.49487i | ||||
\(731\) | − | 1.46368i | − | 0.0541361i | ||||||
\(732\) | 28.1001 | − | 33.1539i | 1.03861 | − | 1.22540i | ||||
\(733\) | −10.0183 | + | 10.0183i | −0.370034 | + | 0.370034i | −0.867490 | − | 0.497455i | \(-0.834268\pi\) |
0.497455 | + | 0.867490i | \(0.334268\pi\) | |||||||
\(734\) | 4.58836 | 0.169359 | ||||||||
\(735\) | −0.623119 | − | 25.8121i | −0.0229841 | − | 0.952095i | ||||
\(736\) | −74.4607 | −2.74466 | ||||||||
\(737\) | −19.9799 | + | 19.9799i | −0.735971 | + | 0.735971i | ||||
\(738\) | 17.0967 | − | 23.9096i | 0.629338 | − | 0.880124i | ||||
\(739\) | 9.87022i | 0.363082i | 0.983383 | + | 0.181541i | \(0.0581085\pi\) | ||||
−0.983383 | + | 0.181541i | \(0.941892\pi\) | |||||||
\(740\) | 0.337245 | − | 5.78969i | 0.0123974 | − | 0.212833i | ||||
\(741\) | 0.582064 | + | 7.05483i | 0.0213827 | + | 0.259166i | ||||
\(742\) | −21.5331 | − | 21.5331i | −0.790506 | − | 0.790506i | ||||
\(743\) | 8.21613 | + | 8.21613i | 0.301421 | + | 0.301421i | 0.841569 | − | 0.540149i | \(-0.181632\pi\) |
−0.540149 | + | 0.841569i | \(0.681632\pi\) | |||||||
\(744\) | −5.85871 | − | 71.0097i | −0.214791 | − | 2.60334i | ||||
\(745\) | −5.24580 | + | 4.66832i | −0.192191 | + | 0.171034i | ||||
\(746\) | − | 34.1192i | − | 1.24919i | ||||||
\(747\) | 16.4672 | − | 23.0292i | 0.602502 | − | 0.842594i | ||||
\(748\) | 1.18029 | − | 1.18029i | 0.0431557 | − | 0.0431557i | ||||
\(749\) | −7.84433 | −0.286626 | ||||||||
\(750\) | 32.8663 | + | 39.5658i | 1.20011 | + | 1.44474i | ||||
\(751\) | −8.64862 | −0.315593 | −0.157796 | − | 0.987472i | \(-0.550439\pi\) | ||||
−0.157796 | + | 0.987472i | \(0.550439\pi\) | |||||||
\(752\) | −32.6842 | + | 32.6842i | −1.19187 | + | 1.19187i | ||||
\(753\) | 11.6284 | − | 13.7198i | 0.423763 | − | 0.499977i | ||||
\(754\) | − | 88.0714i | − | 3.20737i | ||||||
\(755\) | 33.4123 | − | 29.7341i | 1.21600 | − | 1.08213i | ||||
\(756\) | −23.7377 | − | 94.1582i | −0.863331 | − | 3.42450i | ||||
\(757\) | 1.46815 | + | 1.46815i | 0.0533608 | + | 0.0533608i | 0.733284 | − | 0.679923i | \(-0.237987\pi\) |
−0.679923 | + | 0.733284i | \(0.737987\pi\) | |||||||
\(758\) | 8.14994 | + | 8.14994i | 0.296019 | + | 0.296019i | ||||
\(759\) | 17.8187 | − | 1.47014i | 0.646776 | − | 0.0533628i | ||||
\(760\) | 1.05514 | − | 18.1142i | 0.0382739 | − | 0.657071i | ||||
\(761\) | 11.2911i | 0.409304i | 0.978835 | + | 0.204652i | \(0.0656062\pi\) | ||||
−0.978835 | + | 0.204652i | \(0.934394\pi\) | |||||||
\(762\) | −51.7178 | − | 43.8342i | −1.87354 | − | 1.58795i | ||||
\(763\) | 27.2835 | − | 27.2835i | 0.987729 | − | 0.987729i | ||||
\(764\) | −94.9993 | −3.43695 | ||||||||
\(765\) | 1.12151 | − | 0.119844i | 0.0405484 | − | 0.00433296i | ||||
\(766\) | 51.4776 | 1.85996 | ||||||||
\(767\) | 13.3847 | − | 13.3847i | 0.483292 | − | 0.483292i | ||||
\(768\) | 0.979609 | + | 0.830283i | 0.0353486 | + | 0.0299602i | ||||
\(769\) | − | 27.8835i | − | 1.00550i | −0.864431 | − | 0.502752i | \(-0.832321\pi\) | ||
0.864431 | − | 0.502752i | \(-0.167679\pi\) | |||||||
\(770\) | 28.6659 | + | 32.2119i | 1.03305 | + | 1.16084i | ||||
\(771\) | −44.3173 | + | 3.65643i | −1.59605 | + | 0.131683i | ||||
\(772\) | −31.8829 | − | 31.8829i | −1.14749 | − | 1.14749i | ||||
\(773\) | 23.9989 | + | 23.9989i | 0.863180 | + | 0.863180i | 0.991706 | − | 0.128526i | \(-0.0410247\pi\) |
−0.128526 | + | 0.991706i | \(0.541025\pi\) | |||||||
\(774\) | 68.4291 | − | 11.3690i | 2.45963 | − | 0.408650i | ||||
\(775\) | −2.94293 | + | 25.1758i | −0.105713 | + | 0.904342i | ||||
\(776\) | − | 39.6115i | − | 1.42197i | ||||||
\(777\) | 2.12415 | − | 2.50618i | 0.0762035 | − | 0.0899087i | ||||
\(778\) | 18.3713 | − | 18.3713i | 0.658641 | − | 0.658641i | ||||
\(779\) | 3.68873 | 0.132162 | ||||||||
\(780\) | −57.9281 | − | 55.1971i | −2.07416 | − | 1.97637i | ||||
\(781\) | 0.0311113 | 0.00111325 | ||||||||
\(782\) | 1.65986 | − | 1.65986i | 0.0593566 | − | 0.0593566i | ||||
\(783\) | −21.6179 | + | 36.1920i | −0.772560 | + | 1.29340i | ||||
\(784\) | − | 76.2893i | − | 2.72462i | ||||||
\(785\) | −5.12736 | − | 0.298665i | −0.183003 | − | 0.0106598i | ||||
\(786\) | −7.58978 | − | 91.9909i | −0.270718 | − | 3.28121i | ||||
\(787\) | 29.8650 | + | 29.8650i | 1.06457 | + | 1.06457i | 0.997766 | + | 0.0668081i | \(0.0212815\pi\) |
0.0668081 | + | 0.997766i | \(0.478718\pi\) | |||||||
\(788\) | 31.4211 | + | 31.4211i | 1.11933 | + | 1.11933i | ||||
\(789\) | 2.21846 | + | 26.8886i | 0.0789793 | + | 0.957258i | ||||
\(790\) | 29.3874 | + | 1.71179i | 1.04556 | + | 0.0609028i | ||||
\(791\) | 21.6684i | 0.770440i | ||||||||
\(792\) | 38.8892 | + | 27.8080i | 1.38187 | + | 0.988113i | ||||
\(793\) | 14.3446 | − | 14.3446i | 0.509393 | − | 0.509393i | ||||
\(794\) | −14.5839 | −0.517562 | ||||||||
\(795\) | 8.69571 | + | 8.28577i | 0.308405 | + | 0.293866i | ||||
\(796\) | 84.8976 | 3.00911 | ||||||||
\(797\) | 10.0124 | − | 10.0124i | 0.354658 | − | 0.354658i | −0.507182 | − | 0.861839i | \(-0.669313\pi\) |
0.861839 | + | 0.507182i | \(0.169313\pi\) | |||||||
\(798\) | 10.9966 | − | 12.9743i | 0.389274 | − | 0.459285i | ||||
\(799\) | − | 0.679136i | − | 0.0240261i | ||||||
\(800\) | 43.9312 | + | 55.5615i | 1.55320 | + | 1.96439i | ||||
\(801\) | −4.43529 | − | 26.6957i | −0.156713 | − | 0.943246i | ||||
\(802\) | 4.94115 | + | 4.94115i | 0.174478 | + | 0.174478i | ||||
\(803\) | −12.6413 | − | 12.6413i | −0.446101 | − | 0.446101i | ||||
\(804\) | −125.548 | + | 10.3584i | −4.42773 | + | 0.365313i | ||||
\(805\) | 28.8851 | + | 32.4583i | 1.01807 | + | 1.14401i | ||||
\(806\) | − | 55.0313i | − | 1.93839i | ||||||
\(807\) | 4.74351 | + | 4.02043i | 0.166979 | + | 0.141526i | ||||
\(808\) | −77.5832 | + | 77.5832i | −2.72937 | + | 2.72937i | ||||
\(809\) | 24.9450 | 0.877020 | 0.438510 | − | 0.898726i | \(-0.355506\pi\) | ||||
0.438510 | + | 0.898726i | \(0.355506\pi\) | |||||||
\(810\) | 14.3141 | + | 51.5015i | 0.502947 | + | 1.80958i | ||||
\(811\) | 15.0374 | 0.528033 | 0.264017 | − | 0.964518i | \(-0.414953\pi\) | ||||
0.264017 | + | 0.964518i | \(0.414953\pi\) | |||||||
\(812\) | −107.208 | + | 107.208i | −3.76226 | + | 3.76226i | ||||
\(813\) | 26.8331 | + | 22.7428i | 0.941078 | + | 0.797625i | ||||
\(814\) | 2.67635i | 0.0938061i | ||||||||
\(815\) | 1.97679 | − | 33.9368i | 0.0692439 | − | 1.18875i | ||||
\(816\) | 3.32131 | − | 0.274028i | 0.116269 | − | 0.00959288i | ||||
\(817\) | 6.15556 | + | 6.15556i | 0.215356 | + | 0.215356i | ||||
\(818\) | −69.5317 | − | 69.5317i | −2.43112 | − | 2.43112i | ||||
\(819\) | −7.42880 | − | 44.7134i | −0.259583 | − | 1.56241i | ||||
\(820\) | −31.1477 | + | 27.7187i | −1.08772 | + | 0.967980i | ||||
\(821\) | 8.96002i | 0.312707i | 0.987701 | + | 0.156353i | \(0.0499739\pi\) | ||||
−0.987701 | + | 0.156353i | \(0.950026\pi\) | |||||||
\(822\) | 16.1636 | − | 19.0707i | 0.563772 | − | 0.665166i | ||||
\(823\) | 8.13076 | − | 8.13076i | 0.283420 | − | 0.283420i | −0.551051 | − | 0.834472i | \(-0.685773\pi\) |
0.834472 | + | 0.551051i | \(0.185773\pi\) | |||||||
\(824\) | 14.5514 | 0.506922 | ||||||||
\(825\) | −11.6099 | − | 12.4286i | −0.404204 | − | 0.432710i | ||||
\(826\) | −45.4783 | −1.58239 | ||||||||
\(827\) | 38.0057 | − | 38.0057i | 1.32159 | − | 1.32159i | 0.409096 | − | 0.912492i | \(-0.365844\pi\) |
0.912492 | − | 0.409096i | \(-0.134156\pi\) | |||||||
\(828\) | 64.8403 | + | 46.3645i | 2.25336 | + | 1.61128i | ||||
\(829\) | 41.7308i | 1.44937i | 0.689080 | + | 0.724685i | \(0.258015\pi\) | ||||
−0.689080 | + | 0.724685i | \(0.741985\pi\) | |||||||
\(830\) | −41.8703 | + | 37.2610i | −1.45334 | + | 1.29335i | ||||
\(831\) | 1.78314 | + | 21.6124i | 0.0618566 | + | 0.749724i | ||||
\(832\) | −42.5982 | − | 42.5982i | −1.47683 | − | 1.47683i | ||||
\(833\) | 0.792598 | + | 0.792598i | 0.0274619 | + | 0.0274619i | ||||
\(834\) | 6.62486 | + | 80.2958i | 0.229400 | + | 2.78042i | ||||
\(835\) | 0.524837 | − | 9.01021i | 0.0181627 | − | 0.311811i | ||||
\(836\) | 9.92751i | 0.343350i | ||||||||
\(837\) | −13.5079 | + | 22.6145i | −0.466902 | + | 0.781672i | ||||
\(838\) | −64.0415 | + | 64.0415i | −2.21228 | + | 2.21228i | ||||
\(839\) | 39.2304 | 1.35438 | 0.677192 | − | 0.735806i | \(-0.263197\pi\) | ||||
0.677192 | + | 0.735806i | \(0.263197\pi\) | |||||||
\(840\) | 2.80393 | + | 116.150i | 0.0967446 | + | 4.00756i | ||||
\(841\) | 36.8219 | 1.26972 | ||||||||
\(842\) | 12.5039 | − | 12.5039i | 0.430912 | − | 0.430912i | ||||
\(843\) | 14.5548 | − | 17.1725i | 0.501293 | − | 0.591451i | ||||
\(844\) | − | 20.1824i | − | 0.694707i | ||||||
\(845\) | −5.50478 | − | 6.18574i | −0.189370 | − | 0.212796i | ||||
\(846\) | 31.7506 | − | 5.27513i | 1.09161 | − | 0.181363i | ||||
\(847\) | 18.6727 | + | 18.6727i | 0.641603 | + | 0.641603i | ||||
\(848\) | 25.0949 | + | 25.0949i | 0.861763 | + | 0.861763i | ||||
\(849\) | 20.7451 | − | 1.71159i | 0.711970 | − | 0.0587416i | ||||
\(850\) | −2.21787 | − | 0.259258i | −0.0760724 | − | 0.00889249i | ||||
\(851\) | 2.69683i | 0.0924460i | ||||||||
\(852\) | 0.105812 | + | 0.0896822i | 0.00362504 | + | 0.00307246i | ||||
\(853\) | 11.1471 | − | 11.1471i | 0.381670 | − | 0.381670i | −0.490033 | − | 0.871704i | \(-0.663015\pi\) |
0.871704 | + | 0.490033i | \(0.163015\pi\) | |||||||
\(854\) | −48.7401 | −1.66785 | ||||||||
\(855\) | −4.21256 | + | 5.22057i | −0.144066 | + | 0.178540i | ||||
\(856\) | 17.2185 | 0.588517 | ||||||||
\(857\) | 15.5408 | − | 15.5408i | 0.530865 | − | 0.530865i | −0.389965 | − | 0.920830i | \(-0.627513\pi\) |
0.920830 | + | 0.389965i | \(0.127513\pi\) | |||||||
\(858\) | 28.1686 | + | 23.8748i | 0.961662 | + | 0.815071i | ||||
\(859\) | 1.44068i | 0.0491555i | 0.999698 | + | 0.0245777i | \(0.00782413\pi\) | ||||
−0.999698 | + | 0.0245777i | \(0.992176\pi\) | |||||||
\(860\) | −98.2331 | − | 5.72200i | −3.34972 | − | 0.195119i | ||||
\(861\) | −23.5394 | + | 1.94213i | −0.802219 | + | 0.0661877i | ||||
\(862\) | −68.3833 | − | 68.3833i | −2.32914 | − | 2.32914i | ||||
\(863\) | 10.2849 | + | 10.2849i | 0.350102 | + | 0.350102i | 0.860148 | − | 0.510045i | \(-0.170371\pi\) |
−0.510045 | + | 0.860148i | \(0.670371\pi\) | |||||||
\(864\) | 17.9943 | + | 71.3764i | 0.612178 | + | 2.42828i | ||||
\(865\) | 13.3721 | + | 0.778917i | 0.454667 | + | 0.0264840i | ||||
\(866\) | 43.2462i | 1.46957i | ||||||||
\(867\) | 19.0065 | − | 22.4248i | 0.645494 | − | 0.761587i | ||||
\(868\) | −66.9888 | + | 66.9888i | −2.27375 | + | 2.27375i | ||||
\(869\) | −9.73363 | −0.330191 | ||||||||
\(870\) | 57.5741 | − | 60.4226i | 1.95194 | − | 2.04852i | ||||
\(871\) | −58.8023 | −1.99244 | ||||||||
\(872\) | −59.8880 | + | 59.8880i | −2.02806 | + | 2.02806i | ||||
\(873\) | −8.51799 | + | 11.9123i | −0.288290 | + | 0.403171i | ||||
\(874\) | 13.9612i | 0.472246i | ||||||||
\(875\) | 7.17792 | − | 40.7038i | 0.242658 | − | 1.37604i | ||||
\(876\) | −6.55375 | − | 79.4339i | −0.221431 | − | 2.68382i | ||||
\(877\) | 5.21645 | + | 5.21645i | 0.176147 | + | 0.176147i | 0.789674 | − | 0.613527i | \(-0.210250\pi\) |
−0.613527 | + | 0.789674i | \(0.710250\pi\) | |||||||
\(878\) | 15.7950 | + | 15.7950i | 0.533054 | + | 0.533054i | ||||
\(879\) | 2.96676 | + | 35.9582i | 0.100066 | + | 1.21284i | ||||
\(880\) | −33.4075 | − | 37.5401i | −1.12617 | − | 1.26548i | ||||
\(881\) | 20.6917i | 0.697120i | 0.937286 | + | 0.348560i | \(0.113329\pi\) | ||||
−0.937286 | + | 0.348560i | \(0.886671\pi\) | |||||||
\(882\) | −30.8987 | + | 43.2116i | −1.04041 | + | 1.45501i | ||||
\(883\) | −20.5807 | + | 20.5807i | −0.692596 | + | 0.692596i | −0.962802 | − | 0.270206i | \(-0.912908\pi\) |
0.270206 | + | 0.962802i | \(0.412908\pi\) | |||||||
\(884\) | 3.47367 | 0.116832 | ||||||||
\(885\) | 17.9326 | − | 0.432902i | 0.602797 | − | 0.0145518i | ||||
\(886\) | −85.4812 | −2.87180 | ||||||||
\(887\) | −3.75118 | + | 3.75118i | −0.125952 | + | 0.125952i | −0.767273 | − | 0.641321i | \(-0.778387\pi\) |
0.641321 | + | 0.767273i | \(0.278387\pi\) | |||||||
\(888\) | −4.66257 | + | 5.50113i | −0.156465 | + | 0.184606i | ||||
\(889\) | 54.4775i | 1.82712i | ||||||||
\(890\) | −3.11546 | + | 53.4850i | −0.104431 | + | 1.79282i | ||||
\(891\) | −5.71533 | − | 16.7253i | −0.191471 | − | 0.560319i | ||||
\(892\) | 22.2675 | + | 22.2675i | 0.745571 | + | 0.745571i | ||||
\(893\) | 2.85613 | + | 2.85613i | 0.0955768 | + | 0.0955768i | ||||
\(894\) | 14.3988 | − | 1.18799i | 0.481569 | − | 0.0397322i | ||||
\(895\) | 0.716205 | − | 0.637361i | 0.0239401 | − | 0.0213046i | ||||
\(896\) | 39.9996i | 1.33629i | ||||||||
\(897\) | 28.3841 | + | 24.0574i | 0.947718 | + | 0.803253i | ||||
\(898\) | −7.59082 | + | 7.59082i | −0.253309 | + | 0.253309i | ||||
\(899\) | 41.1288 | 1.37172 | ||||||||
\(900\) | −3.65882 | − | 75.7376i | −0.121961 | − | 2.52459i | ||||
\(901\) | −0.521441 | −0.0173717 | ||||||||
\(902\) | 13.6059 | − | 13.6059i | 0.453026 | − | 0.453026i | ||||
\(903\) | −42.5222 | − | 36.0403i | −1.41505 | − | 1.19935i | ||||
\(904\) | − | 47.5627i | − | 1.58191i | ||||||
\(905\) | 0.806654 | − | 0.717853i | 0.0268141 | − | 0.0238622i | ||||
\(906\) | −91.7111 | + | 7.56670i | −3.04690 | + | 0.251387i | ||||
\(907\) | 8.90010 | + | 8.90010i | 0.295523 | + | 0.295523i | 0.839257 | − | 0.543734i | \(-0.182990\pi\) |
−0.543734 | + | 0.839257i | \(0.682990\pi\) | |||||||
\(908\) | −12.4104 | − | 12.4104i | −0.411852 | − | 0.411852i | ||||
\(909\) | 40.0149 | − | 6.64817i | 1.32721 | − | 0.220506i | ||||
\(910\) | −5.21818 | + | 89.5837i | −0.172981 | + | 2.96967i | ||||
\(911\) | 47.7271i | 1.58127i | 0.612288 | + | 0.790635i | \(0.290249\pi\) | ||||
−0.612288 | + | 0.790635i | \(0.709751\pi\) | |||||||
\(912\) | −12.8155 | + | 15.1203i | −0.424363 | + | 0.500685i | ||||
\(913\) | 13.1049 | − | 13.1049i | 0.433707 | − | 0.433707i | ||||
\(914\) | −54.2030 | −1.79288 | ||||||||
\(915\) | 19.2187 | − | 0.463951i | 0.635352 | − | 0.0153377i | ||||
\(916\) | −64.1878 | −2.12083 | ||||||||
\(917\) | −52.4472 | + | 52.4472i | −1.73196 | + | 1.73196i | ||||
\(918\) | −1.99224 | − | 1.18999i | −0.0657536 | − | 0.0392754i | ||||
\(919\) | 24.3417i | 0.802957i | 0.915868 | + | 0.401479i | \(0.131504\pi\) | ||||
−0.915868 | + | 0.401479i | \(0.868496\pi\) | |||||||
\(920\) | −63.4036 | − | 71.2469i | −2.09036 | − | 2.34894i | ||||
\(921\) | 0.557276 | + | 6.75439i | 0.0183629 | + | 0.222565i | ||||
\(922\) | −5.86160 | − | 5.86160i | −0.193042 | − | 0.193042i | ||||
\(923\) | 0.0457813 | + | 0.0457813i | 0.00150691 | + | 0.00150691i | ||||
\(924\) | −5.22688 | − | 63.3517i | −0.171952 | − | 2.08412i | ||||
\(925\) | 2.01233 | − | 1.59111i | 0.0661651 | − | 0.0523153i | ||||
\(926\) | 88.2599i | 2.90040i | ||||||||
\(927\) | −4.37603 | − | 3.12910i | −0.143728 | − | 0.102773i | ||||
\(928\) | 81.2688 | − | 81.2688i | 2.66778 | − | 2.66778i | ||||
\(929\) | 48.8166 | 1.60162 | 0.800811 | − | 0.598917i | \(-0.204402\pi\) | ||||
0.800811 | + | 0.598917i | \(0.204402\pi\) | |||||||
\(930\) | 35.9751 | − | 37.7550i | 1.17967 | − | 1.23804i | ||||
\(931\) | −6.66661 | −0.218489 | ||||||||
\(932\) | 94.0810 | − | 94.0810i | 3.08173 | − | 3.08173i | ||||
\(933\) | 26.5951 | − | 31.3782i | 0.870684 | − | 1.02728i | ||||
\(934\) | − | 11.6942i | − | 0.382647i | ||||||
\(935\) | 0.737101 | + | 0.0429355i | 0.0241058 | + | 0.00140414i | ||||
\(936\) | 16.3064 | + | 98.1471i | 0.532991 | + | 3.20804i | ||||
\(937\) | −7.04288 | − | 7.04288i | −0.230081 | − | 0.230081i | 0.582646 | − | 0.812726i | \(-0.302018\pi\) |
−0.812726 | + | 0.582646i | \(0.802018\pi\) | |||||||
\(938\) | 99.8990 | + | 99.8990i | 3.26182 | + | 3.26182i | ||||
\(939\) | −24.2946 | + | 2.00444i | −0.792823 | + | 0.0654125i | ||||
\(940\) | −45.5794 | − | 2.65497i | −1.48664 | − | 0.0865955i | ||||
\(941\) | 14.9283i | 0.486650i | 0.969945 | + | 0.243325i | \(0.0782381\pi\) | ||||
−0.969945 | + | 0.243325i | \(0.921762\pi\) | |||||||
\(942\) | 8.06116 | + | 6.83236i | 0.262647 | + | 0.222610i | ||||
\(943\) | 13.7099 | − | 13.7099i | 0.446457 | − | 0.446457i | ||||
\(944\) | 53.0008 | 1.72503 | ||||||||
\(945\) | 24.1335 | − | 35.5326i | 0.785062 | − | 1.15588i | ||||
\(946\) | 45.4095 | 1.47639 | ||||||||
\(947\) | −12.4386 | + | 12.4386i | −0.404199 | + | 0.404199i | −0.879710 | − | 0.475511i | \(-0.842263\pi\) |
0.475511 | + | 0.879710i | \(0.342263\pi\) | |||||||
\(948\) | −33.1047 | − | 28.0584i | −1.07519 | − | 0.911295i | ||||
\(949\) | − | 37.2041i | − | 1.20770i | ||||||
\(950\) | 10.4177 | − | 8.23703i | 0.337994 | − | 0.267244i | ||||
\(951\) | −5.64517 | + | 0.465759i | −0.183057 | + | 0.0151033i | ||||
\(952\) | −3.56655 | − | 3.56655i | −0.115593 | − | 0.115593i | ||||
\(953\) | −16.8670 | − | 16.8670i | −0.546377 | − | 0.546377i | 0.379014 | − | 0.925391i | \(-0.376263\pi\) |
−0.925391 | + | 0.379014i | \(0.876263\pi\) | |||||||
\(954\) | −4.05024 | − | 24.3781i | −0.131131 | − | 0.789271i | ||||
\(955\) | −27.9360 | − | 31.3918i | −0.903989 | − | 1.01582i | ||||
\(956\) | − | 8.49159i | − | 0.274638i | ||||||
\(957\) | −17.8433 | + | 21.0524i | −0.576792 | + | 0.680528i | ||||
\(958\) | 30.5021 | − | 30.5021i | 0.985478 | − | 0.985478i | ||||
\(959\) | −20.0883 | −0.648685 | ||||||||
\(960\) | −1.37776 | − | 57.0725i | −0.0444670 | − | 1.84201i | ||||
\(961\) | −5.30072 | −0.170991 | ||||||||
\(962\) | −3.93834 | + | 3.93834i | −0.126977 | + | 0.126977i | ||||
\(963\) | −5.17810 | − | 3.70264i | −0.166862 | − | 0.119316i | ||||
\(964\) | 81.4183i | 2.62231i | ||||||||
\(965\) | 1.15981 | − | 19.9111i | 0.0373355 | − | 0.640961i | ||||
\(966\) | −7.35066 | − | 89.0926i | −0.236503 | − | 2.86651i | ||||
\(967\) | −29.8123 | − | 29.8123i | −0.958699 | − | 0.958699i | 0.0404809 | − | 0.999180i | \(-0.487111\pi\) |
−0.999180 | + | 0.0404809i | \(0.987111\pi\) | |||||||
\(968\) | −40.9871 | − | 40.9871i | −1.31738 | − | 1.31738i | ||||
\(969\) | −0.0239461 | − | 0.290236i | −0.000769260 | − | 0.00932371i | ||||
\(970\) | 21.6583 | − | 19.2740i | 0.695406 | − | 0.618852i | ||||
\(971\) | − | 27.4941i | − | 0.882327i | −0.897427 | − | 0.441163i | \(-0.854566\pi\) | ||
0.897427 | − | 0.441163i | \(-0.145434\pi\) | |||||||
\(972\) | 28.7746 | − | 73.3591i | 0.922945 | − | 2.35299i | ||||
\(973\) | 45.7794 | − | 45.7794i | 1.46762 | − | 1.46762i | ||||
\(974\) | 92.0380 | 2.94909 | ||||||||
\(975\) | 1.20485 | − | 35.3735i | 0.0385860 | − | 1.13286i | ||||
\(976\) | 56.8021 | 1.81819 | ||||||||
\(977\) | −5.79323 | + | 5.79323i | −0.185342 | + | 0.185342i | −0.793679 | − | 0.608337i | \(-0.791837\pi\) |
0.608337 | + | 0.793679i | \(0.291837\pi\) | |||||||
\(978\) | −45.2217 | + | 53.3549i | −1.44603 | + | 1.70610i | ||||
\(979\) | − | 17.7152i | − | 0.566181i | ||||||
\(980\) | 56.2929 | − | 50.0958i | 1.79821 | − | 1.60025i | ||||
\(981\) | 30.8882 | − | 5.13185i | 0.986185 | − | 0.163847i | ||||
\(982\) | 26.0373 | + | 26.0373i | 0.830884 | + | 0.830884i | ||||
\(983\) | −16.5249 | − | 16.5249i | −0.527063 | − | 0.527063i | 0.392633 | − | 0.919695i | \(-0.371564\pi\) |
−0.919695 | + | 0.392633i | \(0.871564\pi\) | |||||||
\(984\) | 51.6695 | − | 4.26303i | 1.64716 | − | 0.135900i | ||||
\(985\) | −1.14301 | + | 19.6228i | −0.0364193 | + | 0.625233i | ||||
\(986\) | 3.62326i | 0.115388i | ||||||||
\(987\) | −19.7300 | − | 16.7224i | −0.628012 | − | 0.532281i | ||||
\(988\) | −14.6087 | + | 14.6087i | −0.464763 | + | 0.464763i | ||||
\(989\) | 45.7568 | 1.45498 | ||||||||
\(990\) | 3.71806 | + | 34.7940i | 0.118168 | + | 1.10583i | ||||
\(991\) | −26.7493 | −0.849718 | −0.424859 | − | 0.905259i | \(-0.639676\pi\) | ||||
−0.424859 | + | 0.905259i | \(0.639676\pi\) | |||||||
\(992\) | 50.7807 | − | 50.7807i | 1.61229 | − | 1.61229i | ||||
\(993\) | −4.03871 | − | 3.42307i | −0.128164 | − | 0.108628i | ||||
\(994\) | − | 0.155555i | − | 0.00493391i | ||||||
\(995\) | 24.9655 | + | 28.0538i | 0.791458 | + | 0.889365i | ||||
\(996\) | 82.3469 | − | 6.79409i | 2.60926 | − | 0.215279i | ||||
\(997\) | 2.62584 | + | 2.62584i | 0.0831611 | + | 0.0831611i | 0.747464 | − | 0.664303i | \(-0.231271\pi\) |
−0.664303 | + | 0.747464i | \(0.731271\pi\) | |||||||
\(998\) | 18.0247 | + | 18.0247i | 0.570560 | + | 0.570560i | ||||
\(999\) | 2.58512 | − | 0.651719i | 0.0817896 | − | 0.0206195i |
(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 | 285.2.k.d.77.17 | yes | 36 | |
3.2 | odd | 2 | inner | 285.2.k.d.77.2 | ✓ | 36 | |
5.3 | odd | 4 | inner | 285.2.k.d.248.2 | yes | 36 | |
15.8 | even | 4 | inner | 285.2.k.d.248.17 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
285.2.k.d.77.2 | ✓ | 36 | 3.2 | odd | 2 | inner | |
285.2.k.d.77.17 | yes | 36 | 1.1 | even | 1 | trivial | |
285.2.k.d.248.2 | yes | 36 | 5.3 | odd | 4 | inner | |
285.2.k.d.248.17 | yes | 36 | 15.8 | even | 4 | inner |