Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,3,Mod(191,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.191");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.b (of order \(2\), degree \(1\), 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: | \(10.3542500457\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 191.16 | ||
Character | \(\chi\) | \(=\) | 380.191 |
Dual form | 380.3.b.a.191.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.65600 | + | 1.12146i | −0.827998 | + | 0.560732i | ||||
\(3\) | − | 5.88343i | − | 1.96114i | −0.196158 | − | 0.980572i | \(-0.562846\pi\) | ||
0.196158 | − | 0.980572i | \(-0.437154\pi\) | |||||||
\(4\) | 1.48464 | − | 3.71428i | 0.371160 | − | 0.928569i | ||||
\(5\) | 2.23607 | 0.447214 | ||||||||
\(6\) | 6.59806 | + | 9.74294i | 1.09968 | + | 1.62382i | ||||
\(7\) | 1.76155i | 0.251650i | 0.992052 | + | 0.125825i | \(0.0401578\pi\) | ||||
−0.992052 | + | 0.125825i | \(0.959842\pi\) | |||||||
\(8\) | 1.70687 | + | 7.81579i | 0.213359 | + | 0.976974i | ||||
\(9\) | −25.6148 | −2.84609 | ||||||||
\(10\) | −3.70292 | + | 2.50767i | −0.370292 | + | 0.250767i | ||||
\(11\) | − | 8.04800i | − | 0.731636i | −0.930686 | − | 0.365818i | \(-0.880789\pi\) | ||
0.930686 | − | 0.365818i | \(-0.119211\pi\) | |||||||
\(12\) | −21.8527 | − | 8.73478i | −1.82106 | − | 0.727898i | ||||
\(13\) | 1.13027 | 0.0869441 | 0.0434720 | − | 0.999055i | \(-0.486158\pi\) | ||||
0.0434720 | + | 0.999055i | \(0.486158\pi\) | |||||||
\(14\) | −1.97551 | − | 2.91712i | −0.141108 | − | 0.208366i | ||||
\(15\) | − | 13.1558i | − | 0.877051i | ||||||
\(16\) | −11.5917 | − | 11.0287i | −0.724481 | − | 0.689295i | ||||
\(17\) | −22.4610 | −1.32124 | −0.660618 | − | 0.750722i | \(-0.729706\pi\) | ||||
−0.660618 | + | 0.750722i | \(0.729706\pi\) | |||||||
\(18\) | 42.4180 | − | 28.7261i | 2.35655 | − | 1.59589i | ||||
\(19\) | − | 4.35890i | − | 0.229416i | ||||||
\(20\) | 3.31975 | − | 8.30537i | 0.165988 | − | 0.415269i | ||||
\(21\) | 10.3640 | 0.493522 | ||||||||
\(22\) | 9.02554 | + | 13.3274i | 0.410252 | + | 0.605793i | ||||
\(23\) | − | 13.9910i | − | 0.608302i | −0.952624 | − | 0.304151i | \(-0.901627\pi\) | ||
0.952624 | − | 0.304151i | \(-0.0983728\pi\) | |||||||
\(24\) | 45.9837 | − | 10.0423i | 1.91599 | − | 0.418428i | ||||
\(25\) | 5.00000 | 0.200000 | ||||||||
\(26\) | −1.87173 | + | 1.26756i | −0.0719895 | + | 0.0487523i | ||||
\(27\) | 97.7521i | 3.62045i | ||||||||
\(28\) | 6.54288 | + | 2.61527i | 0.233674 | + | 0.0934023i | ||||
\(29\) | −29.0420 | −1.00145 | −0.500723 | − | 0.865607i | \(-0.666933\pi\) | ||||
−0.500723 | + | 0.865607i | \(0.666933\pi\) | |||||||
\(30\) | 14.7537 | + | 21.7859i | 0.491790 | + | 0.726196i | ||||
\(31\) | 0.247372i | 0.00797973i | 0.999992 | + | 0.00398987i | \(0.00127002\pi\) | ||||
−0.999992 | + | 0.00398987i | \(0.998730\pi\) | |||||||
\(32\) | 31.5641 | + | 5.26384i | 0.986378 | + | 0.164495i | ||||
\(33\) | −47.3499 | −1.43484 | ||||||||
\(34\) | 37.1953 | − | 25.1892i | 1.09398 | − | 0.740859i | ||||
\(35\) | 3.93894i | 0.112541i | ||||||||
\(36\) | −38.0287 | + | 95.1404i | −1.05635 | + | 2.64279i | ||||
\(37\) | −64.5666 | −1.74504 | −0.872522 | − | 0.488575i | \(-0.837517\pi\) | ||||
−0.872522 | + | 0.488575i | \(0.837517\pi\) | |||||||
\(38\) | 4.88835 | + | 7.21831i | 0.128641 | + | 0.189956i | ||||
\(39\) | − | 6.64989i | − | 0.170510i | ||||||
\(40\) | 3.81668 | + | 17.4766i | 0.0954170 | + | 0.436916i | ||||
\(41\) | 51.2202 | 1.24927 | 0.624637 | − | 0.780915i | \(-0.285247\pi\) | ||||
0.624637 | + | 0.780915i | \(0.285247\pi\) | |||||||
\(42\) | −17.1627 | + | 11.6228i | −0.408635 | + | 0.276733i | ||||
\(43\) | 65.1853i | 1.51594i | 0.652291 | + | 0.757969i | \(0.273808\pi\) | ||||
−0.652291 | + | 0.757969i | \(0.726192\pi\) | |||||||
\(44\) | −29.8925 | − | 11.9484i | −0.679375 | − | 0.271554i | ||||
\(45\) | −57.2764 | −1.27281 | ||||||||
\(46\) | 15.6903 | + | 23.1689i | 0.341094 | + | 0.503673i | ||||
\(47\) | − | 9.79817i | − | 0.208472i | −0.994553 | − | 0.104236i | \(-0.966760\pi\) | ||
0.994553 | − | 0.104236i | \(-0.0332397\pi\) | |||||||
\(48\) | −64.8867 | + | 68.1990i | −1.35181 | + | 1.42081i | ||||
\(49\) | 45.8969 | 0.936672 | ||||||||
\(50\) | −8.27998 | + | 5.60732i | −0.165600 | + | 0.112146i | ||||
\(51\) | 132.148i | 2.59114i | ||||||||
\(52\) | 1.67805 | − | 4.19815i | 0.0322701 | − | 0.0807336i | ||||
\(53\) | −57.3993 | −1.08301 | −0.541503 | − | 0.840699i | \(-0.682145\pi\) | ||||
−0.541503 | + | 0.840699i | \(0.682145\pi\) | |||||||
\(54\) | −109.625 | − | 161.877i | −2.03010 | − | 2.99772i | ||||
\(55\) | − | 17.9959i | − | 0.327198i | ||||||
\(56\) | −13.7679 | + | 3.00674i | −0.245855 | + | 0.0536917i | ||||
\(57\) | −25.6453 | −0.449917 | ||||||||
\(58\) | 48.0933 | − | 32.5695i | 0.829195 | − | 0.561543i | ||||
\(59\) | − | 69.7899i | − | 1.18288i | −0.806349 | − | 0.591439i | \(-0.798560\pi\) | ||
0.806349 | − | 0.591439i | \(-0.201440\pi\) | |||||||
\(60\) | −48.8641 | − | 19.5316i | −0.814402 | − | 0.325526i | ||||
\(61\) | 54.2218 | 0.888882 | 0.444441 | − | 0.895808i | \(-0.353402\pi\) | ||||
0.444441 | + | 0.895808i | \(0.353402\pi\) | |||||||
\(62\) | −0.277418 | − | 0.409646i | −0.00447449 | − | 0.00660720i | ||||
\(63\) | − | 45.1217i | − | 0.716218i | ||||||
\(64\) | −58.1732 | + | 26.6811i | −0.908956 | + | 0.416892i | ||||
\(65\) | 2.52737 | 0.0388826 | ||||||||
\(66\) | 78.4112 | − | 53.1012i | 1.18805 | − | 0.804563i | ||||
\(67\) | 2.79637i | 0.0417369i | 0.999782 | + | 0.0208684i | \(0.00664311\pi\) | ||||
−0.999782 | + | 0.0208684i | \(0.993357\pi\) | |||||||
\(68\) | −33.3465 | + | 83.4264i | −0.490390 | + | 1.22686i | ||||
\(69\) | −82.3148 | −1.19297 | ||||||||
\(70\) | −4.41738 | − | 6.52287i | −0.0631055 | − | 0.0931839i | ||||
\(71\) | − | 74.3304i | − | 1.04691i | −0.852054 | − | 0.523454i | \(-0.824643\pi\) | ||
0.852054 | − | 0.523454i | \(-0.175357\pi\) | |||||||
\(72\) | −43.7211 | − | 200.200i | −0.607238 | − | 2.78055i | ||||
\(73\) | −6.33184 | −0.0867375 | −0.0433688 | − | 0.999059i | \(-0.513809\pi\) | ||||
−0.0433688 | + | 0.999059i | \(0.513809\pi\) | |||||||
\(74\) | 106.922 | − | 72.4091i | 1.44489 | − | 0.978501i | ||||
\(75\) | − | 29.4172i | − | 0.392229i | ||||||
\(76\) | −16.1902 | − | 6.47139i | −0.213028 | − | 0.0851499i | ||||
\(77\) | 14.1769 | 0.184116 | ||||||||
\(78\) | 7.45760 | + | 11.0122i | 0.0956103 | + | 0.141182i | ||||
\(79\) | − | 26.1944i | − | 0.331574i | −0.986162 | − | 0.165787i | \(-0.946984\pi\) | ||
0.986162 | − | 0.165787i | \(-0.0530164\pi\) | |||||||
\(80\) | −25.9198 | − | 24.6610i | −0.323998 | − | 0.308262i | ||||
\(81\) | 344.585 | 4.25413 | ||||||||
\(82\) | −84.8204 | + | 57.4416i | −1.03440 | + | 0.700507i | ||||
\(83\) | 38.5097i | 0.463973i | 0.972719 | + | 0.231986i | \(0.0745225\pi\) | ||||
−0.972719 | + | 0.231986i | \(0.925478\pi\) | |||||||
\(84\) | 15.3867 | − | 38.4946i | 0.183175 | − | 0.458269i | ||||
\(85\) | −50.2244 | −0.590875 | ||||||||
\(86\) | −73.1030 | − | 107.947i | −0.850035 | − | 1.25519i | ||||
\(87\) | 170.866i | 1.96398i | ||||||||
\(88\) | 62.9015 | − | 13.7369i | 0.714790 | − | 0.156101i | ||||
\(89\) | −110.737 | −1.24424 | −0.622120 | − | 0.782922i | \(-0.713729\pi\) | ||||
−0.622120 | + | 0.782922i | \(0.713729\pi\) | |||||||
\(90\) | 94.8495 | − | 64.2334i | 1.05388 | − | 0.713705i | ||||
\(91\) | 1.99103i | 0.0218795i | ||||||||
\(92\) | −51.9663 | − | 20.7715i | −0.564851 | − | 0.225777i | ||||
\(93\) | 1.45540 | 0.0156494 | ||||||||
\(94\) | 10.9883 | + | 16.2257i | 0.116897 | + | 0.172614i | ||||
\(95\) | − | 9.74679i | − | 0.102598i | ||||||
\(96\) | 30.9695 | − | 185.705i | 0.322598 | − | 1.93443i | ||||
\(97\) | 81.9963 | 0.845323 | 0.422661 | − | 0.906288i | \(-0.361096\pi\) | ||||
0.422661 | + | 0.906288i | \(0.361096\pi\) | |||||||
\(98\) | −76.0051 | + | 51.4717i | −0.775562 | + | 0.525222i | ||||
\(99\) | 206.148i | 2.08230i | ||||||||
\(100\) | 7.42319 | − | 18.5714i | 0.0742319 | − | 0.185714i | ||||
\(101\) | −143.160 | −1.41743 | −0.708715 | − | 0.705495i | \(-0.750725\pi\) | ||||
−0.708715 | + | 0.705495i | \(0.750725\pi\) | |||||||
\(102\) | −148.199 | − | 218.836i | −1.45293 | − | 2.14545i | ||||
\(103\) | 23.4795i | 0.227957i | 0.993483 | + | 0.113978i | \(0.0363594\pi\) | ||||
−0.993483 | + | 0.113978i | \(0.963641\pi\) | |||||||
\(104\) | 1.92923 | + | 8.83398i | 0.0185503 | + | 0.0849421i | ||||
\(105\) | 23.1745 | 0.220710 | ||||||||
\(106\) | 95.0530 | − | 64.3713i | 0.896727 | − | 0.607276i | ||||
\(107\) | 25.3635i | 0.237042i | 0.992952 | + | 0.118521i | \(0.0378152\pi\) | ||||
−0.992952 | + | 0.118521i | \(0.962185\pi\) | |||||||
\(108\) | 363.078 | + | 145.127i | 3.36184 | + | 1.34376i | ||||
\(109\) | 92.6287 | 0.849805 | 0.424903 | − | 0.905239i | \(-0.360308\pi\) | ||||
0.424903 | + | 0.905239i | \(0.360308\pi\) | |||||||
\(110\) | 20.1817 | + | 29.8011i | 0.183470 | + | 0.270919i | ||||
\(111\) | 379.873i | 3.42228i | ||||||||
\(112\) | 19.4276 | − | 20.4193i | 0.173461 | − | 0.182316i | ||||
\(113\) | −198.982 | −1.76090 | −0.880452 | − | 0.474136i | \(-0.842761\pi\) | ||||
−0.880452 | + | 0.474136i | \(0.842761\pi\) | |||||||
\(114\) | 42.4685 | − | 28.7603i | 0.372531 | − | 0.252283i | ||||
\(115\) | − | 31.2847i | − | 0.272041i | ||||||
\(116\) | −43.1168 | + | 107.870i | −0.371697 | + | 0.929912i | ||||
\(117\) | −28.9517 | −0.247451 | ||||||||
\(118\) | 78.2668 | + | 115.572i | 0.663278 | + | 0.979421i | ||||
\(119\) | − | 39.5662i | − | 0.332489i | ||||||
\(120\) | 102.823 | − | 22.4552i | 0.856856 | − | 0.187126i | ||||
\(121\) | 56.2297 | 0.464708 | ||||||||
\(122\) | −89.7911 | + | 60.8078i | −0.735992 | + | 0.498425i | ||||
\(123\) | − | 301.351i | − | 2.45001i | ||||||
\(124\) | 0.918807 | + | 0.367258i | 0.00740973 | + | 0.00296176i | ||||
\(125\) | 11.1803 | 0.0894427 | ||||||||
\(126\) | 50.6024 | + | 74.7214i | 0.401606 | + | 0.593027i | ||||
\(127\) | − | 230.167i | − | 1.81234i | −0.422917 | − | 0.906168i | \(-0.638994\pi\) | ||
0.422917 | − | 0.906168i | \(-0.361006\pi\) | |||||||
\(128\) | 66.4126 | − | 109.423i | 0.518849 | − | 0.854866i | ||||
\(129\) | 383.514 | 2.97297 | ||||||||
\(130\) | −4.18531 | + | 2.83435i | −0.0321947 | + | 0.0218027i | ||||
\(131\) | 41.1020i | 0.313756i | 0.987618 | + | 0.156878i | \(0.0501429\pi\) | ||||
−0.987618 | + | 0.156878i | \(0.949857\pi\) | |||||||
\(132\) | −70.2975 | + | 175.871i | −0.532557 | + | 1.33235i | ||||
\(133\) | 7.67842 | 0.0577325 | ||||||||
\(134\) | −3.13603 | − | 4.63077i | −0.0234032 | − | 0.0345580i | ||||
\(135\) | 218.580i | 1.61911i | ||||||||
\(136\) | −38.3381 | − | 175.551i | −0.281897 | − | 1.29081i | ||||
\(137\) | −102.801 | −0.750369 | −0.375185 | − | 0.926950i | \(-0.622421\pi\) | ||||
−0.375185 | + | 0.926950i | \(0.622421\pi\) | |||||||
\(138\) | 136.313 | − | 92.3131i | 0.987775 | − | 0.668936i | ||||
\(139\) | 74.5720i | 0.536489i | 0.963351 | + | 0.268245i | \(0.0864435\pi\) | ||||
−0.963351 | + | 0.268245i | \(0.913556\pi\) | |||||||
\(140\) | 14.6303 | + | 5.84791i | 0.104502 | + | 0.0417708i | ||||
\(141\) | −57.6469 | −0.408843 | ||||||||
\(142\) | 83.3588 | + | 123.091i | 0.587034 | + | 0.866836i | ||||
\(143\) | − | 9.09643i | − | 0.0636114i | ||||||
\(144\) | 296.919 | + | 282.498i | 2.06194 | + | 1.96179i | ||||
\(145\) | −64.9398 | −0.447861 | ||||||||
\(146\) | 10.4855 | − | 7.10093i | 0.0718185 | − | 0.0486365i | ||||
\(147\) | − | 270.032i | − | 1.83695i | ||||||
\(148\) | −95.8581 | + | 239.818i | −0.647690 | + | 1.62039i | ||||
\(149\) | 137.541 | 0.923092 | 0.461546 | − | 0.887116i | \(-0.347295\pi\) | ||||
0.461546 | + | 0.887116i | \(0.347295\pi\) | |||||||
\(150\) | 32.9903 | + | 48.7147i | 0.219935 | + | 0.324765i | ||||
\(151\) | − | 275.295i | − | 1.82315i | −0.411135 | − | 0.911574i | \(-0.634868\pi\) | ||
0.411135 | − | 0.911574i | \(-0.365132\pi\) | |||||||
\(152\) | 34.0682 | − | 7.44008i | 0.224133 | − | 0.0489479i | ||||
\(153\) | 575.335 | 3.76036 | ||||||||
\(154\) | −23.4770 | + | 15.8989i | −0.152448 | + | 0.103240i | ||||
\(155\) | 0.553140i | 0.00356865i | ||||||||
\(156\) | −24.6995 | − | 9.87268i | −0.158330 | − | 0.0632864i | ||||
\(157\) | 205.161 | 1.30676 | 0.653378 | − | 0.757031i | \(-0.273351\pi\) | ||||
0.653378 | + | 0.757031i | \(0.273351\pi\) | |||||||
\(158\) | 29.3760 | + | 43.3777i | 0.185924 | + | 0.274543i | ||||
\(159\) | 337.705i | 2.12393i | ||||||||
\(160\) | 70.5795 | + | 11.7703i | 0.441122 | + | 0.0735644i | ||||
\(161\) | 24.6458 | 0.153079 | ||||||||
\(162\) | −570.631 | + | 386.439i | −3.52241 | + | 2.38543i | ||||
\(163\) | − | 309.735i | − | 1.90021i | −0.311926 | − | 0.950106i | \(-0.600974\pi\) | ||
0.311926 | − | 0.950106i | \(-0.399026\pi\) | |||||||
\(164\) | 76.0435 | − | 190.246i | 0.463680 | − | 1.16004i | ||||
\(165\) | −105.878 | −0.641682 | ||||||||
\(166\) | −43.1873 | − | 63.7719i | −0.260164 | − | 0.384168i | ||||
\(167\) | − | 281.208i | − | 1.68388i | −0.539573 | − | 0.841939i | \(-0.681414\pi\) | ||
0.539573 | − | 0.841939i | \(-0.318586\pi\) | |||||||
\(168\) | 17.6899 | + | 81.0026i | 0.105297 | + | 0.482158i | ||||
\(169\) | −167.722 | −0.992441 | ||||||||
\(170\) | 83.1713 | − | 56.3248i | 0.489243 | − | 0.331322i | ||||
\(171\) | 111.652i | 0.652938i | ||||||||
\(172\) | 242.116 | + | 96.7767i | 1.40765 | + | 0.562655i | ||||
\(173\) | −168.513 | −0.974062 | −0.487031 | − | 0.873385i | \(-0.661920\pi\) | ||||
−0.487031 | + | 0.873385i | \(0.661920\pi\) | |||||||
\(174\) | −191.620 | − | 282.954i | −1.10127 | − | 1.62617i | ||||
\(175\) | 8.80775i | 0.0503300i | ||||||||
\(176\) | −88.7591 | + | 93.2899i | −0.504313 | + | 0.530057i | ||||
\(177\) | −410.604 | −2.31980 | ||||||||
\(178\) | 183.381 | − | 124.188i | 1.03023 | − | 0.697685i | ||||
\(179\) | − | 213.687i | − | 1.19378i | −0.802322 | − | 0.596892i | \(-0.796402\pi\) | ||
0.802322 | − | 0.596892i | \(-0.203598\pi\) | |||||||
\(180\) | −85.0348 | + | 212.740i | −0.472416 | + | 1.18189i | ||||
\(181\) | −194.746 | −1.07594 | −0.537972 | − | 0.842963i | \(-0.680809\pi\) | ||||
−0.537972 | + | 0.842963i | \(0.680809\pi\) | |||||||
\(182\) | −2.23287 | − | 3.29714i | −0.0122685 | − | 0.0181161i | ||||
\(183\) | − | 319.011i | − | 1.74323i | ||||||
\(184\) | 109.350 | − | 23.8807i | 0.594295 | − | 0.129787i | ||||
\(185\) | −144.375 | −0.780407 | ||||||||
\(186\) | −2.41013 | + | 1.63217i | −0.0129577 | + | 0.00877512i | ||||
\(187\) | 180.766i | 0.966665i | ||||||||
\(188\) | −36.3931 | − | 14.5467i | −0.193580 | − | 0.0773763i | ||||
\(189\) | −172.195 | −0.911085 | ||||||||
\(190\) | 10.9307 | + | 16.1406i | 0.0575299 | + | 0.0849508i | ||||
\(191\) | − | 130.576i | − | 0.683643i | −0.939765 | − | 0.341821i | \(-0.888956\pi\) | ||
0.939765 | − | 0.341821i | \(-0.111044\pi\) | |||||||
\(192\) | 156.976 | + | 342.258i | 0.817586 | + | 1.78259i | ||||
\(193\) | 92.0503 | 0.476945 | 0.238472 | − | 0.971149i | \(-0.423353\pi\) | ||||
0.238472 | + | 0.971149i | \(0.423353\pi\) | |||||||
\(194\) | −135.786 | + | 91.9559i | −0.699925 | + | 0.473999i | ||||
\(195\) | − | 14.8696i | − | 0.0762543i | ||||||
\(196\) | 68.1404 | − | 170.474i | 0.347655 | − | 0.869765i | ||||
\(197\) | 26.4924 | 0.134479 | 0.0672396 | − | 0.997737i | \(-0.478581\pi\) | ||||
0.0672396 | + | 0.997737i | \(0.478581\pi\) | |||||||
\(198\) | −231.187 | − | 341.380i | −1.16761 | − | 1.72414i | ||||
\(199\) | 7.89892i | 0.0396931i | 0.999803 | + | 0.0198465i | \(0.00631776\pi\) | ||||
−0.999803 | + | 0.0198465i | \(0.993682\pi\) | |||||||
\(200\) | 8.53435 | + | 39.0790i | 0.0426718 | + | 0.195395i | ||||
\(201\) | 16.4523 | 0.0818520 | ||||||||
\(202\) | 237.073 | − | 160.549i | 1.17363 | − | 0.794798i | ||||
\(203\) | − | 51.1588i | − | 0.252014i | ||||||
\(204\) | 490.834 | + | 196.192i | 2.40605 | + | 0.961725i | ||||
\(205\) | 114.532 | 0.558692 | ||||||||
\(206\) | −26.3314 | − | 38.8820i | −0.127822 | − | 0.188747i | ||||
\(207\) | 358.375i | 1.73128i | ||||||||
\(208\) | −13.1018 | − | 12.4655i | −0.0629893 | − | 0.0599301i | ||||
\(209\) | −35.0804 | −0.167849 | ||||||||
\(210\) | −38.3769 | + | 25.9894i | −0.182747 | + | 0.123759i | ||||
\(211\) | − | 142.264i | − | 0.674236i | −0.941462 | − | 0.337118i | \(-0.890548\pi\) | ||
0.941462 | − | 0.337118i | \(-0.109452\pi\) | |||||||
\(212\) | −85.2173 | + | 213.197i | −0.401968 | + | 1.00565i | ||||
\(213\) | −437.318 | −2.05314 | ||||||||
\(214\) | −28.4442 | − | 42.0018i | −0.132917 | − | 0.196270i | ||||
\(215\) | 145.759i | 0.677948i | ||||||||
\(216\) | −764.010 | + | 166.850i | −3.53708 | + | 0.772454i | ||||
\(217\) | −0.435758 | −0.00200810 | ||||||||
\(218\) | −153.393 | + | 103.880i | −0.703636 | + | 0.476513i | ||||
\(219\) | 37.2530i | 0.170105i | ||||||||
\(220\) | −66.8416 | − | 26.7174i | −0.303826 | − | 0.121443i | ||||
\(221\) | −25.3871 | −0.114874 | ||||||||
\(222\) | −426.014 | − | 629.068i | −1.91898 | − | 2.83364i | ||||
\(223\) | 373.881i | 1.67660i | 0.545212 | + | 0.838298i | \(0.316449\pi\) | ||||
−0.545212 | + | 0.838298i | \(0.683551\pi\) | |||||||
\(224\) | −9.27251 | + | 55.6017i | −0.0413952 | + | 0.248222i | ||||
\(225\) | −128.074 | −0.569218 | ||||||||
\(226\) | 329.513 | − | 223.151i | 1.45802 | − | 0.987395i | ||||
\(227\) | − | 3.64840i | − | 0.0160722i | −0.999968 | − | 0.00803611i | \(-0.997442\pi\) | ||
0.999968 | − | 0.00803611i | \(-0.00255800\pi\) | |||||||
\(228\) | −38.0740 | + | 95.2537i | −0.166991 | + | 0.417779i | ||||
\(229\) | 51.6225 | 0.225426 | 0.112713 | − | 0.993628i | \(-0.464046\pi\) | ||||
0.112713 | + | 0.993628i | \(0.464046\pi\) | |||||||
\(230\) | 35.0847 | + | 51.8073i | 0.152542 | + | 0.225249i | ||||
\(231\) | − | 83.4092i | − | 0.361079i | ||||||
\(232\) | −49.5709 | − | 226.986i | −0.213668 | − | 0.978387i | ||||
\(233\) | 202.831 | 0.870520 | 0.435260 | − | 0.900305i | \(-0.356657\pi\) | ||||
0.435260 | + | 0.900305i | \(0.356657\pi\) | |||||||
\(234\) | 47.9439 | − | 32.4683i | 0.204888 | − | 0.138753i | ||||
\(235\) | − | 21.9094i | − | 0.0932314i | ||||||
\(236\) | −259.219 | − | 103.613i | −1.09838 | − | 0.439037i | ||||
\(237\) | −154.113 | −0.650265 | ||||||||
\(238\) | 44.3721 | + | 65.5214i | 0.186437 | + | 0.275300i | ||||
\(239\) | 138.431i | 0.579209i | 0.957146 | + | 0.289604i | \(0.0935238\pi\) | ||||
−0.957146 | + | 0.289604i | \(0.906476\pi\) | |||||||
\(240\) | −145.091 | + | 152.498i | −0.604546 | + | 0.635406i | ||||
\(241\) | −18.2591 | −0.0757639 | −0.0378819 | − | 0.999282i | \(-0.512061\pi\) | ||||
−0.0378819 | + | 0.999282i | \(0.512061\pi\) | |||||||
\(242\) | −93.1161 | + | 63.0596i | −0.384777 | + | 0.260577i | ||||
\(243\) | − | 1147.57i | − | 4.72252i | ||||||
\(244\) | 80.4998 | − | 201.395i | 0.329917 | − | 0.825389i | ||||
\(245\) | 102.629 | 0.418893 | ||||||||
\(246\) | 337.954 | + | 499.035i | 1.37380 | + | 2.02860i | ||||
\(247\) | − | 4.92674i | − | 0.0199463i | ||||||
\(248\) | −1.93341 | + | 0.422232i | −0.00779599 | + | 0.00170255i | ||||
\(249\) | 226.569 | 0.909917 | ||||||||
\(250\) | −18.5146 | + | 12.5383i | −0.0740583 | + | 0.0501534i | ||||
\(251\) | − | 339.167i | − | 1.35126i | −0.737239 | − | 0.675632i | \(-0.763871\pi\) | ||
0.737239 | − | 0.675632i | \(-0.236129\pi\) | |||||||
\(252\) | −167.595 | − | 66.9895i | −0.665058 | − | 0.265831i | ||||
\(253\) | −112.599 | −0.445056 | ||||||||
\(254\) | 258.124 | + | 381.155i | 1.01623 | + | 1.50061i | ||||
\(255\) | 295.492i | 1.15879i | ||||||||
\(256\) | 12.7348 | + | 255.683i | 0.0497451 | + | 0.998762i | ||||
\(257\) | 167.240 | 0.650738 | 0.325369 | − | 0.945587i | \(-0.394511\pi\) | ||||
0.325369 | + | 0.945587i | \(0.394511\pi\) | |||||||
\(258\) | −635.097 | + | 430.097i | −2.46161 | + | 1.66704i | ||||
\(259\) | − | 113.737i | − | 0.439140i | ||||||
\(260\) | 3.75223 | − | 9.38734i | 0.0144316 | − | 0.0361051i | ||||
\(261\) | 743.904 | 2.85021 | ||||||||
\(262\) | −46.0944 | − | 68.0648i | −0.175933 | − | 0.259789i | ||||
\(263\) | 201.068i | 0.764517i | 0.924055 | + | 0.382258i | \(0.124854\pi\) | ||||
−0.924055 | + | 0.382258i | \(0.875146\pi\) | |||||||
\(264\) | −80.8201 | − | 370.077i | −0.306137 | − | 1.40181i | ||||
\(265\) | −128.349 | −0.484335 | ||||||||
\(266\) | −12.7154 | + | 8.61106i | −0.0478023 | + | 0.0323724i | ||||
\(267\) | 651.516i | 2.44014i | ||||||||
\(268\) | 10.3865 | + | 4.15160i | 0.0387556 | + | 0.0154910i | ||||
\(269\) | −315.593 | −1.17321 | −0.586603 | − | 0.809874i | \(-0.699535\pi\) | ||||
−0.586603 | + | 0.809874i | \(0.699535\pi\) | |||||||
\(270\) | −245.130 | − | 361.968i | −0.907888 | − | 1.34062i | ||||
\(271\) | − | 506.702i | − | 1.86975i | −0.354977 | − | 0.934875i | \(-0.615511\pi\) | ||
0.354977 | − | 0.934875i | \(-0.384489\pi\) | |||||||
\(272\) | 260.361 | + | 247.716i | 0.957211 | + | 0.910722i | ||||
\(273\) | 11.7141 | 0.0429088 | ||||||||
\(274\) | 170.237 | − | 115.287i | 0.621304 | − | 0.420756i | ||||
\(275\) | − | 40.2400i | − | 0.146327i | ||||||
\(276\) | −122.208 | + | 305.740i | −0.442782 | + | 1.10775i | ||||
\(277\) | −476.759 | −1.72115 | −0.860577 | − | 0.509321i | \(-0.829897\pi\) | ||||
−0.860577 | + | 0.509321i | \(0.829897\pi\) | |||||||
\(278\) | −83.6298 | − | 123.491i | −0.300826 | − | 0.444212i | ||||
\(279\) | − | 6.33638i | − | 0.0227110i | ||||||
\(280\) | −30.7860 | + | 6.72327i | −0.109950 | + | 0.0240117i | ||||
\(281\) | −23.9703 | −0.0853037 | −0.0426519 | − | 0.999090i | \(-0.513581\pi\) | ||||
−0.0426519 | + | 0.999090i | \(0.513581\pi\) | |||||||
\(282\) | 95.4630 | − | 64.6489i | 0.338521 | − | 0.229251i | ||||
\(283\) | − | 102.171i | − | 0.361030i | −0.983572 | − | 0.180515i | \(-0.942224\pi\) | ||
0.983572 | − | 0.180515i | \(-0.0577764\pi\) | |||||||
\(284\) | −276.084 | − | 110.354i | −0.972126 | − | 0.388570i | ||||
\(285\) | −57.3446 | −0.201209 | ||||||||
\(286\) | 10.2013 | + | 15.0637i | 0.0356690 | + | 0.0526701i | ||||
\(287\) | 90.2270i | 0.314380i | ||||||||
\(288\) | −808.508 | − | 134.832i | −2.80732 | − | 0.468167i | ||||
\(289\) | 215.498 | 0.745666 | ||||||||
\(290\) | 107.540 | − | 72.8276i | 0.370827 | − | 0.251130i | ||||
\(291\) | − | 482.420i | − | 1.65780i | ||||||
\(292\) | −9.40050 | + | 23.5182i | −0.0321935 | + | 0.0805418i | ||||
\(293\) | −217.756 | −0.743196 | −0.371598 | − | 0.928394i | \(-0.621190\pi\) | ||||
−0.371598 | + | 0.928394i | \(0.621190\pi\) | |||||||
\(294\) | 302.831 | + | 447.171i | 1.03004 | + | 1.52099i | ||||
\(295\) | − | 156.055i | − | 0.529000i | ||||||
\(296\) | −110.207 | − | 504.639i | −0.372320 | − | 1.70486i | ||||
\(297\) | 786.709 | 2.64885 | ||||||||
\(298\) | −227.767 | + | 154.247i | −0.764318 | + | 0.517607i | ||||
\(299\) | − | 15.8136i | − | 0.0528883i | ||||||
\(300\) | −109.263 | − | 43.6739i | −0.364212 | − | 0.145580i | ||||
\(301\) | −114.827 | −0.381486 | ||||||||
\(302\) | 308.734 | + | 455.888i | 1.02230 | + | 1.50956i | ||||
\(303\) | 842.275i | 2.77978i | ||||||||
\(304\) | −48.0731 | + | 50.5270i | −0.158135 | + | 0.166207i | ||||
\(305\) | 121.244 | 0.397520 | ||||||||
\(306\) | −952.751 | + | 645.217i | −3.11357 | + | 2.10855i | ||||
\(307\) | 491.015i | 1.59940i | 0.600402 | + | 0.799698i | \(0.295007\pi\) | ||||
−0.600402 | + | 0.799698i | \(0.704993\pi\) | |||||||
\(308\) | 21.0477 | − | 52.6571i | 0.0683365 | − | 0.170965i | ||||
\(309\) | 138.140 | 0.447056 | ||||||||
\(310\) | −0.620326 | − | 0.915997i | −0.00200105 | − | 0.00295483i | ||||
\(311\) | 95.4478i | 0.306906i | 0.988156 | + | 0.153453i | \(0.0490394\pi\) | ||||
−0.988156 | + | 0.153453i | \(0.950961\pi\) | |||||||
\(312\) | 51.9741 | − | 11.3505i | 0.166584 | − | 0.0363798i | ||||
\(313\) | 264.306 | 0.844428 | 0.422214 | − | 0.906496i | \(-0.361253\pi\) | ||||
0.422214 | + | 0.906496i | \(0.361253\pi\) | |||||||
\(314\) | −339.745 | + | 230.080i | −1.08199 | + | 0.732740i | ||||
\(315\) | − | 100.895i | − | 0.320302i | ||||||
\(316\) | −97.2931 | − | 38.8892i | −0.307889 | − | 0.123067i | ||||
\(317\) | −225.215 | −0.710457 | −0.355229 | − | 0.934779i | \(-0.615597\pi\) | ||||
−0.355229 | + | 0.934779i | \(0.615597\pi\) | |||||||
\(318\) | −378.724 | − | 559.238i | −1.19096 | − | 1.75861i | ||||
\(319\) | 233.730i | 0.732695i | ||||||||
\(320\) | −130.079 | + | 59.6607i | −0.406497 | + | 0.186440i | ||||
\(321\) | 149.224 | 0.464873 | ||||||||
\(322\) | −40.8132 | + | 27.6393i | −0.126749 | + | 0.0858364i | ||||
\(323\) | 97.9053i | 0.303112i | ||||||||
\(324\) | 511.584 | − | 1279.88i | 1.57896 | − | 3.95026i | ||||
\(325\) | 5.65136 | 0.0173888 | ||||||||
\(326\) | 347.356 | + | 512.919i | 1.06551 | + | 1.57337i | ||||
\(327\) | − | 544.975i | − | 1.66659i | ||||||
\(328\) | 87.4263 | + | 400.327i | 0.266544 | + | 1.22051i | ||||
\(329\) | 17.2600 | 0.0524619 | ||||||||
\(330\) | 175.333 | − | 118.738i | 0.531311 | − | 0.359812i | ||||
\(331\) | 117.922i | 0.356259i | 0.984007 | + | 0.178129i | \(0.0570046\pi\) | ||||
−0.984007 | + | 0.178129i | \(0.942995\pi\) | |||||||
\(332\) | 143.036 | + | 57.1730i | 0.430831 | + | 0.172208i | ||||
\(333\) | 1653.86 | 4.96655 | ||||||||
\(334\) | 315.364 | + | 465.678i | 0.944204 | + | 1.39425i | ||||
\(335\) | 6.25287i | 0.0186653i | ||||||||
\(336\) | −120.136 | − | 114.301i | −0.357547 | − | 0.340182i | ||||
\(337\) | 218.426 | 0.648147 | 0.324074 | − | 0.946032i | \(-0.394947\pi\) | ||||
0.324074 | + | 0.946032i | \(0.394947\pi\) | |||||||
\(338\) | 277.748 | − | 188.095i | 0.821738 | − | 0.556493i | ||||
\(339\) | 1170.70i | 3.45339i | ||||||||
\(340\) | −74.5651 | + | 186.547i | −0.219309 | + | 0.548668i | ||||
\(341\) | 1.99085 | 0.00583826 | ||||||||
\(342\) | −125.214 | − | 184.896i | −0.366123 | − | 0.540631i | ||||
\(343\) | 167.166i | 0.487363i | ||||||||
\(344\) | −509.475 | + | 111.263i | −1.48103 | + | 0.323439i | ||||
\(345\) | −184.062 | −0.533512 | ||||||||
\(346\) | 279.056 | − | 188.981i | 0.806521 | − | 0.546188i | ||||
\(347\) | − | 189.111i | − | 0.544989i | −0.962157 | − | 0.272495i | \(-0.912151\pi\) | ||
0.962157 | − | 0.272495i | \(-0.0878487\pi\) | |||||||
\(348\) | 634.645 | + | 253.675i | 1.82369 | + | 0.728951i | ||||
\(349\) | 207.977 | 0.595922 | 0.297961 | − | 0.954578i | \(-0.403693\pi\) | ||||
0.297961 | + | 0.954578i | \(0.403693\pi\) | |||||||
\(350\) | −9.87757 | − | 14.5856i | −0.0282216 | − | 0.0416731i | ||||
\(351\) | 110.487i | 0.314776i | ||||||||
\(352\) | 42.3634 | − | 254.028i | 0.120351 | − | 0.721670i | ||||
\(353\) | 533.523 | 1.51140 | 0.755698 | − | 0.654920i | \(-0.227298\pi\) | ||||
0.755698 | + | 0.654920i | \(0.227298\pi\) | |||||||
\(354\) | 679.958 | − | 460.477i | 1.92079 | − | 1.30078i | ||||
\(355\) | − | 166.208i | − | 0.468191i | ||||||
\(356\) | −164.405 | + | 411.309i | −0.461812 | + | 1.15536i | ||||
\(357\) | −232.785 | −0.652059 | ||||||||
\(358\) | 239.642 | + | 353.865i | 0.669392 | + | 0.988449i | ||||
\(359\) | 52.8610i | 0.147245i | 0.997286 | + | 0.0736226i | \(0.0234560\pi\) | ||||
−0.997286 | + | 0.0736226i | \(0.976544\pi\) | |||||||
\(360\) | −97.7635 | − | 447.661i | −0.271565 | − | 1.24350i | ||||
\(361\) | −19.0000 | −0.0526316 | ||||||||
\(362\) | 322.498 | − | 218.400i | 0.890878 | − | 0.603316i | ||||
\(363\) | − | 330.824i | − | 0.911360i | ||||||
\(364\) | 7.39524 | + | 2.95596i | 0.0203166 | + | 0.00812078i | ||||
\(365\) | −14.1584 | −0.0387902 | ||||||||
\(366\) | 357.759 | + | 528.280i | 0.977483 | + | 1.44339i | ||||
\(367\) | 44.8938i | 0.122326i | 0.998128 | + | 0.0611632i | \(0.0194810\pi\) | ||||
−0.998128 | + | 0.0611632i | \(0.980519\pi\) | |||||||
\(368\) | −154.302 | + | 162.179i | −0.419300 | + | 0.440703i | ||||
\(369\) | −1312.00 | −3.55554 | ||||||||
\(370\) | 239.085 | − | 161.912i | 0.646175 | − | 0.437599i | ||||
\(371\) | − | 101.112i | − | 0.272539i | ||||||
\(372\) | 2.16074 | − | 5.40574i | 0.00580843 | − | 0.0145316i | ||||
\(373\) | −19.7572 | −0.0529684 | −0.0264842 | − | 0.999649i | \(-0.508431\pi\) | ||||
−0.0264842 | + | 0.999649i | \(0.508431\pi\) | |||||||
\(374\) | −202.723 | − | 299.348i | −0.542040 | − | 0.800396i | ||||
\(375\) | − | 65.7788i | − | 0.175410i | ||||||
\(376\) | 76.5805 | − | 16.7242i | 0.203671 | − | 0.0444793i | ||||
\(377\) | −32.8253 | −0.0870698 | ||||||||
\(378\) | 285.154 | − | 193.111i | 0.754376 | − | 0.510874i | ||||
\(379\) | 704.326i | 1.85838i | 0.369602 | + | 0.929190i | \(0.379494\pi\) | ||||
−0.369602 | + | 0.929190i | \(0.620506\pi\) | |||||||
\(380\) | −36.2023 | − | 14.4705i | −0.0952692 | − | 0.0380802i | ||||
\(381\) | −1354.17 | −3.55425 | ||||||||
\(382\) | 146.436 | + | 216.233i | 0.383340 | + | 0.566055i | ||||
\(383\) | − | 205.995i | − | 0.537846i | −0.963162 | − | 0.268923i | \(-0.913332\pi\) | ||
0.963162 | − | 0.268923i | \(-0.0866677\pi\) | |||||||
\(384\) | −643.782 | − | 390.734i | −1.67652 | − | 1.01754i | ||||
\(385\) | 31.7006 | 0.0823393 | ||||||||
\(386\) | −152.435 | + | 103.231i | −0.394909 | + | 0.267438i | ||||
\(387\) | − | 1669.71i | − | 4.31449i | ||||||
\(388\) | 121.735 | − | 304.557i | 0.313750 | − | 0.784941i | ||||
\(389\) | 252.421 | 0.648898 | 0.324449 | − | 0.945903i | \(-0.394821\pi\) | ||||
0.324449 | + | 0.945903i | \(0.394821\pi\) | |||||||
\(390\) | 16.6757 | + | 24.6240i | 0.0427582 | + | 0.0631384i | ||||
\(391\) | 314.251i | 0.803711i | ||||||||
\(392\) | 78.3401 | + | 358.721i | 0.199847 | + | 0.915104i | ||||
\(393\) | 241.821 | 0.615321 | ||||||||
\(394\) | −43.8713 | + | 29.7103i | −0.111348 | + | 0.0754067i | ||||
\(395\) | − | 58.5724i | − | 0.148284i | ||||||
\(396\) | 765.690 | + | 306.055i | 1.93356 | + | 0.772867i | ||||
\(397\) | −143.596 | −0.361702 | −0.180851 | − | 0.983510i | \(-0.557885\pi\) | ||||
−0.180851 | + | 0.983510i | \(0.557885\pi\) | |||||||
\(398\) | −8.85835 | − | 13.0806i | −0.0222572 | − | 0.0328658i | ||||
\(399\) | − | 45.1755i | − | 0.113222i | ||||||
\(400\) | −57.9585 | − | 55.1436i | −0.144896 | − | 0.137859i | ||||
\(401\) | −617.139 | −1.53900 | −0.769499 | − | 0.638647i | \(-0.779494\pi\) | ||||
−0.769499 | + | 0.638647i | \(0.779494\pi\) | |||||||
\(402\) | −27.2449 | + | 18.4506i | −0.0677733 | + | 0.0458970i | ||||
\(403\) | 0.279598i | 0.000693790i | ||||||||
\(404\) | −212.541 | + | 531.737i | −0.526093 | + | 1.31618i | ||||
\(405\) | 770.515 | 1.90251 | ||||||||
\(406\) | 57.3728 | + | 84.7188i | 0.141312 | + | 0.208667i | ||||
\(407\) | 519.632i | 1.27674i | ||||||||
\(408\) | −1032.84 | + | 225.559i | −2.53147 | + | 0.552842i | ||||
\(409\) | −578.155 | −1.41358 | −0.706791 | − | 0.707422i | \(-0.749858\pi\) | ||||
−0.706791 | + | 0.707422i | \(0.749858\pi\) | |||||||
\(410\) | −189.664 | + | 128.443i | −0.462596 | + | 0.313276i | ||||
\(411\) | 604.820i | 1.47158i | ||||||||
\(412\) | 87.2094 | + | 34.8586i | 0.211673 | + | 0.0846083i | ||||
\(413\) | 122.938 | 0.297671 | ||||||||
\(414\) | −401.905 | − | 593.468i | −0.970785 | − | 1.43350i | ||||
\(415\) | 86.1104i | 0.207495i | ||||||||
\(416\) | 35.6760 | + | 5.94957i | 0.0857597 | + | 0.0143019i | ||||
\(417\) | 438.739 | 1.05213 | ||||||||
\(418\) | 58.0930 | − | 39.3414i | 0.138978 | − | 0.0941182i | ||||
\(419\) | − | 479.447i | − | 1.14426i | −0.820162 | − | 0.572132i | \(-0.806117\pi\) | ||
0.820162 | − | 0.572132i | \(-0.193883\pi\) | |||||||
\(420\) | 34.4058 | − | 86.0766i | 0.0819186 | − | 0.204944i | ||||
\(421\) | 620.126 | 1.47298 | 0.736491 | − | 0.676447i | \(-0.236481\pi\) | ||||
0.736491 | + | 0.676447i | \(0.236481\pi\) | |||||||
\(422\) | 159.544 | + | 235.588i | 0.378065 | + | 0.558265i | ||||
\(423\) | 250.978i | 0.593329i | ||||||||
\(424\) | −97.9733 | − | 448.621i | −0.231069 | − | 1.05807i | ||||
\(425\) | −112.305 | −0.264247 | ||||||||
\(426\) | 724.196 | − | 490.436i | 1.69999 | − | 1.15126i | ||||
\(427\) | 95.5144i | 0.223687i | ||||||||
\(428\) | 94.2069 | + | 37.6556i | 0.220110 | + | 0.0879803i | ||||
\(429\) | −53.5183 | −0.124751 | ||||||||
\(430\) | −163.463 | − | 241.376i | −0.380147 | − | 0.561339i | ||||
\(431\) | − | 174.363i | − | 0.404556i | −0.979328 | − | 0.202278i | \(-0.935166\pi\) | ||
0.979328 | − | 0.202278i | \(-0.0648344\pi\) | |||||||
\(432\) | 1078.08 | − | 1133.11i | 2.49556 | − | 2.62294i | ||||
\(433\) | 38.8589 | 0.0897433 | 0.0448717 | − | 0.998993i | \(-0.485712\pi\) | ||||
0.0448717 | + | 0.998993i | \(0.485712\pi\) | |||||||
\(434\) | 0.721612 | − | 0.488686i | 0.00166270 | − | 0.00112601i | ||||
\(435\) | 382.069i | 0.878320i | ||||||||
\(436\) | 137.520 | − | 344.049i | 0.315413 | − | 0.789103i | ||||
\(437\) | −60.9851 | −0.139554 | ||||||||
\(438\) | −41.7778 | − | 61.6907i | −0.0953832 | − | 0.140846i | ||||
\(439\) | − | 540.084i | − | 1.23026i | −0.788426 | − | 0.615130i | \(-0.789104\pi\) | ||
0.788426 | − | 0.615130i | \(-0.210896\pi\) | |||||||
\(440\) | 140.652 | − | 30.7166i | 0.319664 | − | 0.0698105i | ||||
\(441\) | −1175.64 | −2.66585 | ||||||||
\(442\) | 42.0409 | − | 28.4707i | 0.0951151 | − | 0.0644133i | ||||
\(443\) | − | 58.1362i | − | 0.131233i | −0.997845 | − | 0.0656165i | \(-0.979099\pi\) | ||
0.997845 | − | 0.0656165i | \(-0.0209014\pi\) | |||||||
\(444\) | 1410.95 | + | 563.975i | 3.17783 | + | 1.27021i | ||||
\(445\) | −247.616 | −0.556441 | ||||||||
\(446\) | −419.294 | − | 619.145i | −0.940121 | − | 1.38822i | ||||
\(447\) | − | 809.212i | − | 1.81032i | ||||||
\(448\) | −47.0001 | − | 102.475i | −0.104911 | − | 0.228739i | ||||
\(449\) | 720.386 | 1.60442 | 0.802212 | − | 0.597040i | \(-0.203657\pi\) | ||||
0.802212 | + | 0.597040i | \(0.203657\pi\) | |||||||
\(450\) | 212.090 | − | 143.630i | 0.471311 | − | 0.319178i | ||||
\(451\) | − | 412.220i | − | 0.914014i | ||||||
\(452\) | −295.417 | + | 739.074i | −0.653577 | + | 1.63512i | ||||
\(453\) | −1619.68 | −3.57546 | ||||||||
\(454\) | 4.09154 | + | 6.04172i | 0.00901221 | + | 0.0133078i | ||||
\(455\) | 4.45208i | 0.00978480i | ||||||||
\(456\) | −43.7732 | − | 200.438i | −0.0959939 | − | 0.439558i | ||||
\(457\) | −191.938 | −0.419996 | −0.209998 | − | 0.977702i | \(-0.567346\pi\) | ||||
−0.209998 | + | 0.977702i | \(0.567346\pi\) | |||||||
\(458\) | −85.4866 | + | 57.8927i | −0.186652 | + | 0.126403i | ||||
\(459\) | − | 2195.61i | − | 4.78347i | ||||||
\(460\) | −116.200 | − | 46.4465i | −0.252609 | − | 0.100971i | ||||
\(461\) | 781.991 | 1.69629 | 0.848146 | − | 0.529762i | \(-0.177719\pi\) | ||||
0.848146 | + | 0.529762i | \(0.177719\pi\) | |||||||
\(462\) | 93.5403 | + | 138.125i | 0.202468 | + | 0.298972i | ||||
\(463\) | 667.295i | 1.44124i | 0.693330 | + | 0.720620i | \(0.256143\pi\) | ||||
−0.693330 | + | 0.720620i | \(0.743857\pi\) | |||||||
\(464\) | 336.645 | + | 320.296i | 0.725529 | + | 0.690292i | ||||
\(465\) | 3.25436 | 0.00699863 | ||||||||
\(466\) | −335.887 | + | 227.468i | −0.720788 | + | 0.488128i | ||||
\(467\) | − | 195.230i | − | 0.418051i | −0.977910 | − | 0.209026i | \(-0.932971\pi\) | ||
0.977910 | − | 0.209026i | \(-0.0670292\pi\) | |||||||
\(468\) | −42.9828 | + | 107.535i | −0.0918437 | + | 0.229775i | ||||
\(469\) | −4.92594 | −0.0105031 | ||||||||
\(470\) | 24.5706 | + | 36.2818i | 0.0522778 | + | 0.0771954i | ||||
\(471\) | − | 1207.05i | − | 2.56274i | ||||||
\(472\) | 545.463 | − | 119.122i | 1.15564 | − | 0.252378i | ||||
\(473\) | 524.611 | 1.10912 | ||||||||
\(474\) | 255.210 | − | 172.832i | 0.538418 | − | 0.364624i | ||||
\(475\) | − | 21.7945i | − | 0.0458831i | ||||||
\(476\) | −146.960 | − | 58.7415i | −0.308739 | − | 0.123407i | ||||
\(477\) | 1470.27 | 3.08233 | ||||||||
\(478\) | −155.245 | − | 229.241i | −0.324781 | − | 0.479584i | ||||
\(479\) | 488.518i | 1.01987i | 0.860213 | + | 0.509935i | \(0.170330\pi\) | ||||
−0.860213 | + | 0.509935i | \(0.829670\pi\) | |||||||
\(480\) | 69.2498 | − | 415.250i | 0.144270 | − | 0.865103i | ||||
\(481\) | −72.9779 | −0.151721 | ||||||||
\(482\) | 30.2370 | − | 20.4769i | 0.0627323 | − | 0.0424832i | ||||
\(483\) | − | 145.002i | − | 0.300211i | ||||||
\(484\) | 83.4808 | − | 208.853i | 0.172481 | − | 0.431514i | ||||
\(485\) | 183.349 | 0.378040 | ||||||||
\(486\) | 1286.96 | + | 1900.37i | 2.64807 | + | 3.91024i | ||||
\(487\) | − | 89.0019i | − | 0.182755i | −0.995816 | − | 0.0913777i | \(-0.970873\pi\) | ||
0.995816 | − | 0.0913777i | \(-0.0291271\pi\) | |||||||
\(488\) | 92.5496 | + | 423.786i | 0.189651 | + | 0.868415i | ||||
\(489\) | −1822.30 | −3.72659 | ||||||||
\(490\) | −169.953 | + | 115.094i | −0.346842 | + | 0.234886i | ||||
\(491\) | 0.930138i | 0.00189437i | 1.00000 | 0.000947187i | \(0.000301499\pi\) | |||||
−1.00000 | 0.000947187i | \(0.999699\pi\) | ||||||||
\(492\) | −1119.30 | − | 447.397i | −2.27500 | − | 0.909344i | ||||
\(493\) | 652.312 | 1.32315 | ||||||||
\(494\) | 5.52516 | + | 8.15866i | 0.0111845 | + | 0.0165155i | ||||
\(495\) | 460.961i | 0.931234i | ||||||||
\(496\) | 2.72819 | − | 2.86746i | 0.00550039 | − | 0.00578116i | ||||
\(497\) | 130.937 | 0.263454 | ||||||||
\(498\) | −375.198 | + | 254.089i | −0.753409 | + | 0.510220i | ||||
\(499\) | 634.634i | 1.27181i | 0.771767 | + | 0.635906i | \(0.219373\pi\) | ||||
−0.771767 | + | 0.635906i | \(0.780627\pi\) | |||||||
\(500\) | 16.5988 | − | 41.5269i | 0.0331975 | − | 0.0830537i | ||||
\(501\) | −1654.47 | −3.30233 | ||||||||
\(502\) | 380.364 | + | 561.659i | 0.757697 | + | 1.11884i | ||||
\(503\) | − | 532.444i | − | 1.05854i | −0.848454 | − | 0.529269i | \(-0.822466\pi\) | ||
0.848454 | − | 0.529269i | \(-0.177534\pi\) | |||||||
\(504\) | 352.662 | − | 77.0170i | 0.699726 | − | 0.152811i | ||||
\(505\) | −320.116 | −0.633894 | ||||||||
\(506\) | 186.464 | − | 126.276i | 0.368505 | − | 0.249557i | ||||
\(507\) | 986.784i | 1.94632i | ||||||||
\(508\) | −854.903 | − | 341.714i | −1.68288 | − | 0.672666i | ||||
\(509\) | 99.3964 | 0.195278 | 0.0976389 | − | 0.995222i | \(-0.468871\pi\) | ||||
0.0976389 | + | 0.995222i | \(0.468871\pi\) | |||||||
\(510\) | −331.383 | − | 489.333i | −0.649771 | − | 0.959476i | ||||
\(511\) | − | 11.1539i | − | 0.0218275i | ||||||
\(512\) | −307.828 | − | 409.128i | −0.601226 | − | 0.799079i | ||||
\(513\) | 426.091 | 0.830588 | ||||||||
\(514\) | −276.948 | + | 187.553i | −0.538810 | + | 0.364890i | ||||
\(515\) | 52.5018i | 0.101945i | ||||||||
\(516\) | 569.379 | − | 1424.48i | 1.10345 | − | 2.76061i | ||||
\(517\) | −78.8557 | −0.152525 | ||||||||
\(518\) | 127.552 | + | 188.348i | 0.246240 | + | 0.363607i | ||||
\(519\) | 991.434i | 1.91028i | ||||||||
\(520\) | 4.31389 | + | 19.7534i | 0.00829594 | + | 0.0379873i | ||||
\(521\) | −159.278 | −0.305716 | −0.152858 | − | 0.988248i | \(-0.548848\pi\) | ||||
−0.152858 | + | 0.988248i | \(0.548848\pi\) | |||||||
\(522\) | −1231.90 | + | 834.261i | −2.35996 | + | 1.59820i | ||||
\(523\) | 340.189i | 0.650456i | 0.945636 | + | 0.325228i | \(0.105441\pi\) | ||||
−0.945636 | + | 0.325228i | \(0.894559\pi\) | |||||||
\(524\) | 152.664 | + | 61.0217i | 0.291344 | + | 0.116454i | ||||
\(525\) | 51.8198 | 0.0987044 | ||||||||
\(526\) | −225.490 | − | 332.968i | −0.428689 | − | 0.633018i | ||||
\(527\) | − | 5.55622i | − | 0.0105431i | ||||||
\(528\) | 548.865 | + | 522.208i | 1.03952 | + | 0.989031i | ||||
\(529\) | 333.253 | 0.629968 | ||||||||
\(530\) | 212.545 | − | 143.939i | 0.401028 | − | 0.271582i | ||||
\(531\) | 1787.65i | 3.36658i | ||||||||
\(532\) | 11.3997 | − | 28.5198i | 0.0214280 | − | 0.0536086i | ||||
\(533\) | 57.8928 | 0.108617 | ||||||||
\(534\) | −730.652 | − | 1078.91i | −1.36826 | − | 2.02043i | ||||
\(535\) | 56.7144i | 0.106008i | ||||||||
\(536\) | −21.8558 | + | 4.77304i | −0.0407758 | + | 0.00890493i | ||||
\(537\) | −1257.21 | −2.34118 | ||||||||
\(538\) | 522.620 | − | 353.926i | 0.971412 | − | 0.657854i | ||||
\(539\) | − | 369.379i | − | 0.685303i | ||||||
\(540\) | 811.868 | + | 324.513i | 1.50346 | + | 0.600950i | ||||
\(541\) | 757.112 | 1.39947 | 0.699734 | − | 0.714404i | \(-0.253302\pi\) | ||||
0.699734 | + | 0.714404i | \(0.253302\pi\) | |||||||
\(542\) | 568.248 | + | 839.097i | 1.04843 | + | 1.54815i | ||||
\(543\) | 1145.77i | 2.11008i | ||||||||
\(544\) | −708.962 | − | 118.231i | −1.30324 | − | 0.217337i | ||||
\(545\) | 207.124 | 0.380044 | ||||||||
\(546\) | −19.3985 | + | 13.1369i | −0.0355284 | + | 0.0240603i | ||||
\(547\) | − | 530.960i | − | 0.970677i | −0.874326 | − | 0.485338i | \(-0.838696\pi\) | ||
0.874326 | − | 0.485338i | \(-0.161304\pi\) | |||||||
\(548\) | −152.622 | + | 381.830i | −0.278507 | + | 0.696770i | ||||
\(549\) | −1388.88 | −2.52984 | ||||||||
\(550\) | 45.1277 | + | 66.6372i | 0.0820503 | + | 0.121159i | ||||
\(551\) | 126.591i | 0.229748i | ||||||||
\(552\) | −140.501 | − | 643.356i | −0.254530 | − | 1.16550i | ||||
\(553\) | 46.1427 | 0.0834406 | ||||||||
\(554\) | 789.511 | − | 534.668i | 1.42511 | − | 0.965105i | ||||
\(555\) | 849.423i | 1.53049i | ||||||||
\(556\) | 276.981 | + | 110.712i | 0.498167 | + | 0.199123i | ||||
\(557\) | −648.534 | −1.16433 | −0.582167 | − | 0.813069i | \(-0.697795\pi\) | ||||
−0.582167 | + | 0.813069i | \(0.697795\pi\) | |||||||
\(558\) | 7.10602 | + | 10.4930i | 0.0127348 | + | 0.0188047i | ||||
\(559\) | 73.6772i | 0.131802i | ||||||||
\(560\) | 43.4415 | − | 45.6590i | 0.0775741 | − | 0.0815340i | ||||
\(561\) | 1063.53 | 1.89577 | ||||||||
\(562\) | 39.6948 | − | 26.8819i | 0.0706313 | − | 0.0478325i | ||||
\(563\) | 601.133i | 1.06773i | 0.845569 | + | 0.533866i | \(0.179261\pi\) | ||||
−0.845569 | + | 0.533866i | \(0.820739\pi\) | |||||||
\(564\) | −85.5848 | + | 214.117i | −0.151746 | + | 0.379639i | ||||
\(565\) | −444.937 | −0.787500 | ||||||||
\(566\) | 114.581 | + | 169.195i | 0.202441 | + | 0.298932i | ||||
\(567\) | 607.003i | 1.07055i | ||||||||
\(568\) | 580.951 | − | 126.872i | 1.02280 | − | 0.223367i | ||||
\(569\) | −99.1099 | −0.174183 | −0.0870913 | − | 0.996200i | \(-0.527757\pi\) | ||||
−0.0870913 | + | 0.996200i | \(0.527757\pi\) | |||||||
\(570\) | 94.9624 | − | 64.3099i | 0.166601 | − | 0.112824i | ||||
\(571\) | 467.315i | 0.818415i | 0.912441 | + | 0.409207i | \(0.134195\pi\) | ||||
−0.912441 | + | 0.409207i | \(0.865805\pi\) | |||||||
\(572\) | −33.7867 | − | 13.5049i | −0.0590676 | − | 0.0236100i | ||||
\(573\) | −768.234 | −1.34072 | ||||||||
\(574\) | −101.186 | − | 149.415i | −0.176283 | − | 0.260306i | ||||
\(575\) | − | 69.9548i | − | 0.121660i | ||||||
\(576\) | 1490.09 | − | 683.431i | 2.58697 | − | 1.18651i | ||||
\(577\) | 356.617 | 0.618053 | 0.309027 | − | 0.951053i | \(-0.399997\pi\) | ||||
0.309027 | + | 0.951053i | \(0.399997\pi\) | |||||||
\(578\) | −356.863 | + | 241.673i | −0.617410 | + | 0.418119i | ||||
\(579\) | − | 541.572i | − | 0.935358i | ||||||
\(580\) | −96.4121 | + | 241.204i | −0.166228 | + | 0.415870i | ||||
\(581\) | −67.8368 | −0.116759 | ||||||||
\(582\) | 541.016 | + | 798.885i | 0.929582 | + | 1.37265i | ||||
\(583\) | 461.950i | 0.792367i | ||||||||
\(584\) | −10.8076 | − | 49.4883i | −0.0185062 | − | 0.0847403i | ||||
\(585\) | −64.7380 | −0.110663 | ||||||||
\(586\) | 360.603 | − | 244.206i | 0.615364 | − | 0.416733i | ||||
\(587\) | 535.079i | 0.911549i | 0.890095 | + | 0.455774i | \(0.150638\pi\) | ||||
−0.890095 | + | 0.455774i | \(0.849362\pi\) | |||||||
\(588\) | −1002.97 | − | 400.900i | −1.70573 | − | 0.681802i | ||||
\(589\) | 1.07827 | 0.00183068 | ||||||||
\(590\) | 175.010 | + | 258.426i | 0.296627 | + | 0.438010i | ||||
\(591\) | − | 155.866i | − | 0.263733i | ||||||
\(592\) | 748.436 | + | 712.087i | 1.26425 | + | 1.20285i | ||||
\(593\) | 469.429 | 0.791617 | 0.395809 | − | 0.918333i | \(-0.370464\pi\) | ||||
0.395809 | + | 0.918333i | \(0.370464\pi\) | |||||||
\(594\) | −1302.79 | + | 882.265i | −2.19324 | + | 1.48529i | ||||
\(595\) | − | 88.4727i | − | 0.148694i | ||||||
\(596\) | 204.198 | − | 510.864i | 0.342615 | − | 0.857155i | ||||
\(597\) | 46.4728 | 0.0778439 | ||||||||
\(598\) | 17.7344 | + | 26.1872i | 0.0296561 | + | 0.0437914i | ||||
\(599\) | − | 149.813i | − | 0.250106i | −0.992150 | − | 0.125053i | \(-0.960090\pi\) | ||
0.992150 | − | 0.125053i | \(-0.0399101\pi\) | |||||||
\(600\) | 229.918 | − | 50.2113i | 0.383197 | − | 0.0836855i | ||||
\(601\) | 841.554 | 1.40026 | 0.700129 | − | 0.714017i | \(-0.253126\pi\) | ||||
0.700129 | + | 0.714017i | \(0.253126\pi\) | |||||||
\(602\) | 190.153 | − | 128.775i | 0.315869 | − | 0.213911i | ||||
\(603\) | − | 71.6284i | − | 0.118787i | ||||||
\(604\) | −1022.52 | − | 408.714i | −1.69292 | − | 0.676679i | ||||
\(605\) | 125.733 | 0.207824 | ||||||||
\(606\) | −944.580 | − | 1394.80i | −1.55871 | − | 2.30165i | ||||
\(607\) | − | 731.706i | − | 1.20545i | −0.797950 | − | 0.602723i | \(-0.794082\pi\) | ||
0.797950 | − | 0.602723i | \(-0.205918\pi\) | |||||||
\(608\) | 22.9445 | − | 137.585i | 0.0377377 | − | 0.226291i | ||||
\(609\) | −300.990 | −0.494236 | ||||||||
\(610\) | −200.779 | + | 135.970i | −0.329146 | + | 0.222902i | ||||
\(611\) | − | 11.0746i | − | 0.0181254i | ||||||
\(612\) | 854.164 | − | 2136.95i | 1.39569 | − | 3.49175i | ||||
\(613\) | −227.734 | −0.371507 | −0.185754 | − | 0.982596i | \(-0.559473\pi\) | ||||
−0.185754 | + | 0.982596i | \(0.559473\pi\) | |||||||
\(614\) | −550.655 | − | 813.118i | −0.896832 | − | 1.32430i | ||||
\(615\) | − | 673.841i | − | 1.09568i | ||||||
\(616\) | 24.1982 | + | 110.804i | 0.0392828 | + | 0.179877i | ||||
\(617\) | 321.186 | 0.520561 | 0.260280 | − | 0.965533i | \(-0.416185\pi\) | ||||
0.260280 | + | 0.965533i | \(0.416185\pi\) | |||||||
\(618\) | −228.760 | + | 154.919i | −0.370161 | + | 0.250678i | ||||
\(619\) | 168.858i | 0.272792i | 0.990654 | + | 0.136396i | \(0.0435519\pi\) | ||||
−0.990654 | + | 0.136396i | \(0.956448\pi\) | |||||||
\(620\) | 2.05451 | + | 0.821213i | 0.00331373 | + | 0.00132454i | ||||
\(621\) | 1367.64 | 2.20233 | ||||||||
\(622\) | −107.041 | − | 158.061i | −0.172092 | − | 0.254117i | ||||
\(623\) | − | 195.069i | − | 0.313113i | ||||||
\(624\) | −73.3397 | + | 77.0834i | −0.117532 | + | 0.123531i | ||||
\(625\) | 25.0000 | 0.0400000 | ||||||||
\(626\) | −437.689 | + | 296.409i | −0.699184 | + | 0.473497i | ||||
\(627\) | 206.393i | 0.329176i | ||||||||
\(628\) | 304.590 | − | 762.024i | 0.485016 | − | 1.21341i | ||||
\(629\) | 1450.23 | 2.30562 | ||||||||
\(630\) | 113.150 | + | 167.082i | 0.179604 | + | 0.265210i | ||||
\(631\) | 220.418i | 0.349316i | 0.984629 | + | 0.174658i | \(0.0558819\pi\) | ||||
−0.984629 | + | 0.174658i | \(0.944118\pi\) | |||||||
\(632\) | 204.730 | − | 44.7104i | 0.323939 | − | 0.0707443i | ||||
\(633\) | −836.999 | −1.32227 | ||||||||
\(634\) | 372.955 | − | 252.570i | 0.588257 | − | 0.398376i | ||||
\(635\) | − | 514.668i | − | 0.810502i | ||||||
\(636\) | 1254.33 | + | 501.370i | 1.97222 | + | 0.788318i | ||||
\(637\) | 51.8761 | 0.0814381 | ||||||||
\(638\) | −262.119 | − | 387.055i | −0.410845 | − | 0.606670i | ||||
\(639\) | 1903.96i | 2.97959i | ||||||||
\(640\) | 148.503 | − | 244.677i | 0.232036 | − | 0.382308i | ||||
\(641\) | −736.161 | −1.14846 | −0.574229 | − | 0.818695i | \(-0.694698\pi\) | ||||
−0.574229 | + | 0.818695i | \(0.694698\pi\) | |||||||
\(642\) | −247.115 | + | 167.350i | −0.384914 | + | 0.260669i | ||||
\(643\) | − | 823.619i | − | 1.28090i | −0.768000 | − | 0.640450i | \(-0.778748\pi\) | ||
0.768000 | − | 0.640450i | \(-0.221252\pi\) | |||||||
\(644\) | 36.5900 | − | 91.5411i | 0.0568168 | − | 0.142145i | ||||
\(645\) | 857.562 | 1.32955 | ||||||||
\(646\) | −109.797 | − | 162.131i | −0.169965 | − | 0.250976i | ||||
\(647\) | − | 137.351i | − | 0.212289i | −0.994351 | − | 0.106145i | \(-0.966149\pi\) | ||
0.994351 | − | 0.106145i | \(-0.0338506\pi\) | |||||||
\(648\) | 588.161 | + | 2693.20i | 0.907657 | + | 4.15618i | ||||
\(649\) | −561.669 | −0.865437 | ||||||||
\(650\) | −9.35863 | + | 6.33780i | −0.0143979 | + | 0.00975046i | ||||
\(651\) | 2.56375i | 0.00393817i | ||||||||
\(652\) | −1150.44 | − | 459.844i | −1.76448 | − | 0.705282i | ||||
\(653\) | 1220.60 | 1.86922 | 0.934608 | − | 0.355680i | \(-0.115751\pi\) | ||||
0.934608 | + | 0.355680i | \(0.115751\pi\) | |||||||
\(654\) | 611.170 | + | 902.476i | 0.934510 | + | 1.37993i | ||||
\(655\) | 91.9069i | 0.140316i | ||||||||
\(656\) | −593.729 | − | 564.893i | −0.905075 | − | 0.861118i | ||||
\(657\) | 162.189 | 0.246863 | ||||||||
\(658\) | −28.5824 | + | 19.3564i | −0.0434383 | + | 0.0294171i | ||||
\(659\) | 586.759i | 0.890377i | 0.895437 | + | 0.445189i | \(0.146863\pi\) | ||||
−0.895437 | + | 0.445189i | \(0.853137\pi\) | |||||||
\(660\) | −157.190 | + | 393.258i | −0.238167 | + | 0.595846i | ||||
\(661\) | −280.889 | −0.424946 | −0.212473 | − | 0.977167i | \(-0.568152\pi\) | ||||
−0.212473 | + | 0.977167i | \(0.568152\pi\) | |||||||
\(662\) | −132.245 | − | 195.278i | −0.199766 | − | 0.294982i | ||||
\(663\) | 149.363i | 0.225284i | ||||||||
\(664\) | −300.984 | + | 65.7311i | −0.453289 | + | 0.0989927i | ||||
\(665\) | 17.1695 | 0.0258187 | ||||||||
\(666\) | −2738.78 | + | 1854.74i | −4.11229 | + | 2.78490i | ||||
\(667\) | 406.325i | 0.609182i | ||||||||
\(668\) | −1044.48 | − | 417.492i | −1.56360 | − | 0.624988i | ||||
\(669\) | 2199.70 | 3.28805 | ||||||||
\(670\) | −7.01237 | − | 10.3547i | −0.0104662 | − | 0.0154548i | ||||
\(671\) | − | 436.377i | − | 0.650339i | ||||||
\(672\) | 327.129 | + | 54.5542i | 0.486799 | + | 0.0811819i | ||||
\(673\) | 901.867 | 1.34007 | 0.670035 | − | 0.742330i | \(-0.266279\pi\) | ||||
0.670035 | + | 0.742330i | \(0.266279\pi\) | |||||||
\(674\) | −361.712 | + | 244.956i | −0.536664 | + | 0.363437i | ||||
\(675\) | 488.760i | 0.724089i | ||||||||
\(676\) | −249.007 | + | 622.968i | −0.368354 | + | 0.921550i | ||||
\(677\) | 365.860 | 0.540414 | 0.270207 | − | 0.962802i | \(-0.412908\pi\) | ||||
0.270207 | + | 0.962802i | \(0.412908\pi\) | |||||||
\(678\) | −1312.90 | − | 1938.67i | −1.93642 | − | 2.85940i | ||||
\(679\) | 144.441i | 0.212725i | ||||||||
\(680\) | −85.7265 | − | 392.543i | −0.126068 | − | 0.577269i | ||||
\(681\) | −21.4651 | −0.0315200 | ||||||||
\(682\) | −3.29683 | + | 2.23266i | −0.00483407 | + | 0.00327370i | ||||
\(683\) | − | 1159.51i | − | 1.69767i | −0.528661 | − | 0.848833i | \(-0.677306\pi\) | ||
0.528661 | − | 0.848833i | \(-0.322694\pi\) | |||||||
\(684\) | 414.708 | + | 165.763i | 0.606298 | + | 0.242344i | ||||
\(685\) | −229.869 | −0.335575 | ||||||||
\(686\) | −187.470 | − | 276.826i | −0.273280 | − | 0.403536i | ||||
\(687\) | − | 303.717i | − | 0.442092i | ||||||
\(688\) | 718.911 | − | 755.608i | 1.04493 | − | 1.09827i | ||||
\(689\) | −64.8769 | −0.0941610 | ||||||||
\(690\) | 304.805 | − | 206.418i | 0.441746 | − | 0.299157i | ||||
\(691\) | − | 607.193i | − | 0.878717i | −0.898312 | − | 0.439358i | \(-0.855206\pi\) | ||
0.898312 | − | 0.439358i | \(-0.144794\pi\) | |||||||
\(692\) | −250.181 | + | 625.903i | −0.361533 | + | 0.904484i | ||||
\(693\) | −363.140 | −0.524011 | ||||||||
\(694\) | 212.081 | + | 313.167i | 0.305593 | + | 0.451250i | ||||
\(695\) | 166.748i | 0.239925i | ||||||||
\(696\) | −1335.46 | + | 291.647i | −1.91876 | + | 0.419033i | ||||
\(697\) | −1150.46 | −1.65059 | ||||||||
\(698\) | −344.409 | + | 233.238i | −0.493422 | + | 0.334153i | ||||
\(699\) | − | 1193.34i | − | 1.70722i | ||||||
\(700\) | 32.7144 | + | 13.0763i | 0.0467349 | + | 0.0186805i | ||||
\(701\) | −219.331 | −0.312883 | −0.156442 | − | 0.987687i | \(-0.550002\pi\) | ||||
−0.156442 | + | 0.987687i | \(0.550002\pi\) | |||||||
\(702\) | −123.907 | − | 182.965i | −0.176505 | − | 0.260634i | ||||
\(703\) | 281.439i | 0.400340i | ||||||||
\(704\) | 214.729 | + | 468.178i | 0.305013 | + | 0.665025i | ||||
\(705\) | −128.902 | −0.182840 | ||||||||
\(706\) | −883.511 | + | 598.326i | −1.25143 | + | 0.847488i | ||||
\(707\) | − | 252.184i | − | 0.356696i | ||||||
\(708\) | −609.599 | + | 1525.10i | −0.861015 | + | 2.15409i | ||||
\(709\) | −83.3555 | −0.117568 | −0.0587839 | − | 0.998271i | \(-0.518722\pi\) | ||||
−0.0587839 | + | 0.998271i | \(0.518722\pi\) | |||||||
\(710\) | 186.396 | + | 275.239i | 0.262530 | + | 0.387661i | ||||
\(711\) | 670.963i | 0.943689i | ||||||||
\(712\) | −189.014 | − | 865.501i | −0.265470 | − | 1.21559i | ||||
\(713\) | 3.46097 | 0.00485409 | ||||||||
\(714\) | 385.491 | − | 261.060i | 0.539903 | − | 0.365630i | ||||
\(715\) | − | 20.3402i | − | 0.0284479i | ||||||
\(716\) | −793.693 | − | 317.248i | −1.10851 | − | 0.443084i | ||||
\(717\) | 814.449 | 1.13591 | ||||||||
\(718\) | −59.2817 | − | 87.5375i | −0.0825650 | − | 0.121919i | ||||
\(719\) | 969.586i | 1.34852i | 0.738494 | + | 0.674260i | \(0.235537\pi\) | ||||
−0.738494 | + | 0.674260i | \(0.764463\pi\) | |||||||
\(720\) | 663.931 | + | 631.686i | 0.922126 | + | 0.877341i | ||||
\(721\) | −41.3603 | −0.0573652 | ||||||||
\(722\) | 31.4639 | − | 21.3078i | 0.0435788 | − | 0.0295122i | ||||
\(723\) | 107.426i | 0.148584i | ||||||||
\(724\) | −289.127 | + | 723.339i | −0.399347 | + | 0.999088i | ||||
\(725\) | −145.210 | −0.200289 | ||||||||
\(726\) | 371.007 | + | 547.843i | 0.511029 | + | 0.754604i | ||||
\(727\) | 1135.95i | 1.56251i | 0.624211 | + | 0.781256i | \(0.285421\pi\) | ||||
−0.624211 | + | 0.781256i | \(0.714579\pi\) | |||||||
\(728\) | −15.5615 | + | 3.39843i | −0.0213757 | + | 0.00466818i | ||||
\(729\) | −3650.41 | −5.00742 | ||||||||
\(730\) | 23.4463 | − | 15.8782i | 0.0321182 | − | 0.0217509i | ||||
\(731\) | − | 1464.13i | − | 2.00291i | ||||||
\(732\) | −1184.89 | − | 473.616i | −1.61871 | − | 0.647016i | ||||
\(733\) | −910.594 | −1.24228 | −0.621142 | − | 0.783698i | \(-0.713331\pi\) | ||||
−0.621142 | + | 0.783698i | \(0.713331\pi\) | |||||||
\(734\) | −50.3468 | − | 74.3439i | −0.0685923 | − | 0.101286i | ||||
\(735\) | − | 603.809i | − | 0.821509i | ||||||
\(736\) | 73.6461 | − | 441.612i | 0.100063 | − | 0.600016i | ||||
\(737\) | 22.5052 | 0.0305362 | ||||||||
\(738\) | 2172.66 | − | 1471.36i | 2.94398 | − | 1.99371i | ||||
\(739\) | 946.424i | 1.28068i | 0.768091 | + | 0.640341i | \(0.221207\pi\) | ||||
−0.768091 | + | 0.640341i | \(0.778793\pi\) | |||||||
\(740\) | −214.345 | + | 536.250i | −0.289656 | + | 0.724662i | ||||
\(741\) | −28.9862 | −0.0391176 | ||||||||
\(742\) | 113.393 | + | 167.441i | 0.152821 | + | 0.225661i | ||||
\(743\) | − | 878.156i | − | 1.18191i | −0.806706 | − | 0.590953i | \(-0.798752\pi\) | ||
0.806706 | − | 0.590953i | \(-0.201248\pi\) | |||||||
\(744\) | 2.48417 | + | 11.3751i | 0.00333894 | + | 0.0152891i | ||||
\(745\) | 307.551 | 0.412819 | ||||||||
\(746\) | 32.7179 | − | 22.1570i | 0.0438577 | − | 0.0297011i | ||||
\(747\) | − | 986.419i | − | 1.32051i | ||||||
\(748\) | 671.416 | + | 268.373i | 0.897615 | + | 0.358787i | ||||
\(749\) | −44.6790 | −0.0596515 | ||||||||
\(750\) | 73.7685 | + | 108.929i | 0.0983580 | + | 0.145239i | ||||
\(751\) | 439.458i | 0.585163i | 0.956241 | + | 0.292582i | \(0.0945144\pi\) | ||||
−0.956241 | + | 0.292582i | \(0.905486\pi\) | |||||||
\(752\) | −108.061 | + | 113.577i | −0.143699 | + | 0.151034i | ||||
\(753\) | −1995.47 | −2.65002 | ||||||||
\(754\) | 54.3586 | − | 36.8124i | 0.0720936 | − | 0.0488228i | ||||
\(755\) | − | 615.579i | − | 0.815337i | ||||||
\(756\) | −255.648 | + | 639.580i | −0.338158 | + | 0.846006i | ||||
\(757\) | −28.8784 | −0.0381485 | −0.0190742 | − | 0.999818i | \(-0.506072\pi\) | ||||
−0.0190742 | + | 0.999818i | \(0.506072\pi\) | |||||||
\(758\) | −789.876 | − | 1166.36i | −1.04205 | − | 1.53873i | ||||
\(759\) | 662.470i | 0.872819i | ||||||||
\(760\) | 76.1789 | − | 16.6365i | 0.100235 | − | 0.0218902i | ||||
\(761\) | −283.601 | −0.372668 | −0.186334 | − | 0.982486i | \(-0.559661\pi\) | ||||
−0.186334 | + | 0.982486i | \(0.559661\pi\) | |||||||
\(762\) | 2242.50 | − | 1518.65i | 2.94291 | − | 1.99298i | ||||
\(763\) | 163.170i | 0.213853i | ||||||||
\(764\) | −484.994 | − | 193.858i | −0.634810 | − | 0.253741i | ||||
\(765\) | 1286.49 | 1.68168 | ||||||||
\(766\) | 231.016 | + | 341.127i | 0.301587 | + | 0.445335i | ||||
\(767\) | − | 78.8816i | − | 0.102844i | ||||||
\(768\) | 1504.29 | − | 74.9241i | 1.95872 | − | 0.0975574i | ||||
\(769\) | −523.314 | −0.680512 | −0.340256 | − | 0.940333i | \(-0.610514\pi\) | ||||
−0.340256 | + | 0.940333i | \(0.610514\pi\) | |||||||
\(770\) | −52.4961 | + | 35.5511i | −0.0681767 | + | 0.0461703i | ||||
\(771\) | − | 983.944i | − | 1.27619i | ||||||
\(772\) | 136.661 | − | 341.900i | 0.177023 | − | 0.442876i | ||||
\(773\) | 417.361 | 0.539924 | 0.269962 | − | 0.962871i | \(-0.412989\pi\) | ||||
0.269962 | + | 0.962871i | \(0.412989\pi\) | |||||||
\(774\) | 1872.52 | + | 2765.03i | 2.41927 | + | 3.57239i | ||||
\(775\) | 1.23686i | 0.00159595i | ||||||||
\(776\) | 139.957 | + | 640.866i | 0.180357 | + | 0.825859i | ||||
\(777\) | −669.166 | −0.861217 | ||||||||
\(778\) | −418.009 | + | 283.081i | −0.537286 | + | 0.363858i | ||||
\(779\) | − | 223.264i | − | 0.286603i | ||||||
\(780\) | −55.2298 | − | 22.0760i | −0.0708074 | − | 0.0283025i | ||||
\(781\) | −598.211 | −0.765955 | ||||||||
\(782\) | −352.421 | − | 520.398i | −0.450666 | − | 0.665471i | ||||
\(783\) | − | 2838.91i | − | 3.62569i | ||||||
\(784\) | −532.023 | − | 506.184i | −0.678601 | − | 0.645643i | ||||
\(785\) | 458.754 | 0.584399 | ||||||||
\(786\) | −400.455 | + | 271.194i | −0.509484 | + | 0.345030i | ||||
\(787\) | − | 117.028i | − | 0.148702i | −0.997232 | − | 0.0743509i | \(-0.976312\pi\) | ||
0.997232 | − | 0.0743509i | \(-0.0236885\pi\) | |||||||
\(788\) | 39.3316 | − | 98.4001i | 0.0499132 | − | 0.124873i | ||||
\(789\) | 1182.97 | 1.49933 | ||||||||
\(790\) | 65.6868 | + | 96.9955i | 0.0831478 | + | 0.122779i | ||||
\(791\) | − | 350.517i | − | 0.443131i | ||||||
\(792\) | −1611.21 | + | 351.868i | −2.03435 | + | 0.444277i | ||||
\(793\) | 61.2855 | 0.0772830 | ||||||||
\(794\) | 237.794 | − | 161.037i | 0.299488 | − | 0.202818i | ||||
\(795\) | 755.132i | 0.949852i | ||||||||
\(796\) | 29.3388 | + | 11.7270i | 0.0368578 | + | 0.0147325i | ||||
\(797\) | 1056.67 | 1.32580 | 0.662902 | − | 0.748706i | \(-0.269325\pi\) | ||||
0.662902 | + | 0.748706i | \(0.269325\pi\) | |||||||
\(798\) | 50.6626 | + | 74.8103i | 0.0634870 | + | 0.0937473i | ||||
\(799\) | 220.077i | 0.275441i | ||||||||
\(800\) | 157.820 | + | 26.3192i | 0.197276 | + | 0.0328990i | ||||
\(801\) | 2836.52 | 3.54122 | ||||||||
\(802\) | 1021.98 | − | 692.098i | 1.27429 | − | 0.862966i | ||||
\(803\) | 50.9586i | 0.0634603i | ||||||||
\(804\) | 24.4257 | − | 61.1082i | 0.0303802 | − | 0.0760053i | ||||
\(805\) | 55.1096 | 0.0684591 | ||||||||
\(806\) | −0.313558 | − | 0.463012i | −0.000389030 | − | 0.000574457i | ||||
\(807\) | 1856.77i | 2.30083i | ||||||||
\(808\) | −244.356 | − | 1118.91i | −0.302421 | − | 1.38479i | ||||
\(809\) | 226.866 | 0.280428 | 0.140214 | − | 0.990121i | \(-0.455221\pi\) | ||||
0.140214 | + | 0.990121i | \(0.455221\pi\) | |||||||
\(810\) | −1275.97 | + | 864.104i | −1.57527 | + | 1.06680i | ||||
\(811\) | − | 805.832i | − | 0.993628i | −0.867857 | − | 0.496814i | \(-0.834503\pi\) | ||
0.867857 | − | 0.496814i | \(-0.165497\pi\) | |||||||
\(812\) | −190.018 | − | 75.9524i | −0.234012 | − | 0.0935375i | ||||
\(813\) | −2981.15 | −3.66685 | ||||||||
\(814\) | −582.748 | − | 860.508i | −0.715907 | − | 1.05714i | ||||
\(815\) | − | 692.588i | − | 0.849801i | ||||||
\(816\) | 1457.42 | − | 1531.82i | 1.78606 | − | 1.87723i | ||||
\(817\) | 284.136 | 0.347780 | ||||||||
\(818\) | 957.422 | − | 648.380i | 1.17044 | − | 0.792641i | ||||
\(819\) | − | 50.9999i | − | 0.0622709i | ||||||
\(820\) | 170.039 | − | 425.403i | 0.207364 | − | 0.518784i | ||||
\(821\) | −30.6435 | −0.0373247 | −0.0186623 | − | 0.999826i | \(-0.505941\pi\) | ||||
−0.0186623 | + | 0.999826i | \(0.505941\pi\) | |||||||
\(822\) | −678.284 | − | 1001.58i | −0.825163 | − | 1.21847i | ||||
\(823\) | − | 376.392i | − | 0.457341i | −0.973504 | − | 0.228671i | \(-0.926562\pi\) | ||
0.973504 | − | 0.228671i | \(-0.0734379\pi\) | |||||||
\(824\) | −183.511 | + | 40.0765i | −0.222708 | + | 0.0486365i | ||||
\(825\) | −236.749 | −0.286969 | ||||||||
\(826\) | −203.585 | + | 137.871i | −0.246471 | + | 0.166914i | ||||
\(827\) | − | 1104.81i | − | 1.33593i | −0.744193 | − | 0.667965i | \(-0.767166\pi\) | ||
0.744193 | − | 0.667965i | \(-0.232834\pi\) | |||||||
\(828\) | 1331.11 | + | 532.058i | 1.60762 | + | 0.642582i | ||||
\(829\) | −588.939 | −0.710421 | −0.355210 | − | 0.934786i | \(-0.615591\pi\) | ||||
−0.355210 | + | 0.934786i | \(0.615591\pi\) | |||||||
\(830\) | −96.5696 | − | 142.598i | −0.116349 | − | 0.171805i | ||||
\(831\) | 2804.98i | 3.37543i | ||||||||
\(832\) | −65.7516 | + | 30.1569i | −0.0790283 | + | 0.0362463i | ||||
\(833\) | −1030.89 | −1.23757 | ||||||||
\(834\) | −726.550 | + | 492.030i | −0.871163 | + | 0.589964i | ||||
\(835\) | − | 628.799i | − | 0.753053i | ||||||
\(836\) | −52.0818 | + | 130.298i | −0.0622987 | + | 0.155859i | ||||
\(837\) | −24.1811 | −0.0288902 | ||||||||
\(838\) | 537.682 | + | 793.961i | 0.641625 | + | 0.947448i | ||||
\(839\) | 539.748i | 0.643323i | 0.946855 | + | 0.321662i | \(0.104241\pi\) | ||||
−0.946855 | + | 0.321662i | \(0.895759\pi\) | |||||||
\(840\) | 39.5559 | + | 181.127i | 0.0470904 | + | 0.215628i | ||||
\(841\) | 2.43528 | 0.00289570 | ||||||||
\(842\) | −1026.92 | + | 695.448i | −1.21963 | + | 0.825948i | ||||
\(843\) | 141.028i | 0.167293i | ||||||||
\(844\) | −528.407 | − | 211.210i | −0.626074 | − | 0.250249i | ||||
\(845\) | −375.039 | −0.443833 | ||||||||
\(846\) | −281.463 | − | 415.619i | −0.332698 | − | 0.491275i | ||||
\(847\) | 99.0514i | 0.116944i | ||||||||
\(848\) | 665.356 | + | 633.041i | 0.784618 | + | 0.746511i | ||||
\(849\) | −601.118 | −0.708031 | ||||||||
\(850\) | 185.977 | − | 125.946i | 0.218796 | − | 0.148172i | ||||
\(851\) | 903.348i | 1.06151i | ||||||||
\(852\) | −649.259 | + | 1624.32i | −0.762042 | + | 1.90648i | ||||
\(853\) | −1017.22 | −1.19252 | −0.596261 | − | 0.802791i | \(-0.703348\pi\) | ||||
−0.596261 | + | 0.802791i | \(0.703348\pi\) | |||||||
\(854\) | −107.116 | − | 158.171i | −0.125429 | − | 0.185212i | ||||
\(855\) | 249.662i | 0.292003i | ||||||||
\(856\) | −198.236 | + | 43.2921i | −0.231584 | + | 0.0505749i | ||||
\(857\) | 169.929 | 0.198283 | 0.0991416 | − | 0.995073i | \(-0.468390\pi\) | ||||
0.0991416 | + | 0.995073i | \(0.468390\pi\) | |||||||
\(858\) | 88.6260 | − | 60.0188i | 0.103294 | − | 0.0699520i | ||||
\(859\) | − | 118.503i | − | 0.137954i | −0.997618 | − | 0.0689770i | \(-0.978026\pi\) | ||
0.997618 | − | 0.0689770i | \(-0.0219735\pi\) | |||||||
\(860\) | 541.389 | + | 216.399i | 0.629522 | + | 0.251627i | ||||
\(861\) | 530.844 | 0.616544 | ||||||||
\(862\) | 195.542 | + | 288.745i | 0.226847 | + | 0.334971i | ||||
\(863\) | − | 379.908i | − | 0.440218i | −0.975475 | − | 0.220109i | \(-0.929359\pi\) | ||
0.975475 | − | 0.220109i | \(-0.0706413\pi\) | |||||||
\(864\) | −514.551 | + | 3085.46i | −0.595545 | + | 3.57113i | ||||
\(865\) | −376.806 | −0.435614 | ||||||||
\(866\) | −64.3501 | + | 43.5788i | −0.0743072 | + | 0.0503219i | ||||
\(867\) | − | 1267.87i | − | 1.46236i | ||||||
\(868\) | −0.646943 | + | 1.61852i | −0.000745326 | + | 0.00186466i | ||||
\(869\) | −210.812 | −0.242592 | ||||||||
\(870\) | −428.476 | − | 632.704i | −0.492502 | − | 0.727246i | ||||
\(871\) | 3.16066i | 0.00362877i | ||||||||
\(872\) | 158.105 | + | 723.967i | 0.181313 | + | 0.830237i | ||||
\(873\) | −2100.32 | −2.40586 | ||||||||
\(874\) | 100.991 | − | 68.3926i | 0.115550 | − | 0.0782524i | ||||
\(875\) | 19.6947i | 0.0225083i | ||||||||
\(876\) | 138.368 | + | 55.3072i | 0.157954 | + | 0.0631361i | ||||
\(877\) | 922.245 | 1.05159 | 0.525795 | − | 0.850611i | \(-0.323768\pi\) | ||||
0.525795 | + | 0.850611i | \(0.323768\pi\) | |||||||
\(878\) | 605.684 | + | 894.376i | 0.689845 | + | 1.01865i | ||||
\(879\) | 1281.15i | 1.45751i | ||||||||
\(880\) | −198.471 | + | 208.603i | −0.225536 | + | 0.237048i | ||||
\(881\) | 611.091 | 0.693634 | 0.346817 | − | 0.937933i | \(-0.387263\pi\) | ||||
0.346817 | + | 0.937933i | \(0.387263\pi\) | |||||||
\(882\) | 1946.86 | − | 1318.44i | 2.20732 | − | 1.49483i | ||||
\(883\) | 683.353i | 0.773899i | 0.922101 | + | 0.386950i | \(0.126471\pi\) | ||||
−0.922101 | + | 0.386950i | \(0.873529\pi\) | |||||||
\(884\) | −37.6907 | + | 94.2946i | −0.0426365 | + | 0.106668i | ||||
\(885\) | −918.139 | −1.03744 | ||||||||
\(886\) | 65.1976 | + | 96.2733i | 0.0735865 | + | 0.108661i | ||||
\(887\) | 9.51379i | 0.0107258i | 0.999986 | + | 0.00536290i | \(0.00170707\pi\) | ||||
−0.999986 | + | 0.00536290i | \(0.998293\pi\) | |||||||
\(888\) | −2969.01 | + | 648.395i | −3.34348 | + | 0.730174i | ||||
\(889\) | 405.450 | 0.456074 | ||||||||
\(890\) | 410.052 | − | 277.693i | 0.460732 | − | 0.312014i | ||||
\(891\) | − | 2773.22i | − | 3.11248i | ||||||
\(892\) | 1388.70 | + | 555.078i | 1.55684 | + | 0.622285i | ||||
\(893\) | −42.7092 | −0.0478267 | ||||||||
\(894\) | 907.502 | + | 1340.05i | 1.01510 | + | 1.49894i | ||||
\(895\) | − | 477.819i | − | 0.533876i | ||||||
\(896\) | 192.754 | + | 116.989i | 0.215127 | + | 0.130568i | ||||
\(897\) | −93.0382 | −0.103722 | ||||||||
\(898\) | −1192.96 | + | 807.887i | −1.32846 | + | 0.899651i | ||||
\(899\) | − | 7.18416i | − | 0.00799128i | ||||||
\(900\) | −190.144 | + | 475.702i | −0.211271 | + | 0.528558i | ||||
\(901\) | 1289.25 | 1.43091 | ||||||||
\(902\) | 462.290 | + | 682.635i | 0.512517 | + | 0.756801i | ||||
\(903\) | 675.578i | 0.748149i | ||||||||
\(904\) | −339.637 | − | 1555.20i | −0.375704 | − | 1.72036i | ||||
\(905\) | −435.465 | −0.481177 | ||||||||
\(906\) | 2682.19 | − | 1816.42i | 2.96047 | − | 2.00487i | ||||
\(907\) | 474.399i | 0.523042i | 0.965198 | + | 0.261521i | \(0.0842240\pi\) | ||||
−0.965198 | + | 0.261521i | \(0.915776\pi\) | |||||||
\(908\) | −13.5511 | − | 5.41655i | −0.0149242 | − | 0.00596536i | ||||
\(909\) | 3667.02 | 4.03413 | ||||||||
\(910\) | −4.99285 | − | 7.37263i | −0.00548665 | − | 0.00810179i | ||||
\(911\) | 268.493i | 0.294723i | 0.989083 | + | 0.147362i | \(0.0470781\pi\) | ||||
−0.989083 | + | 0.147362i | \(0.952922\pi\) | |||||||
\(912\) | 297.272 | + | 282.835i | 0.325957 | + | 0.310126i | ||||
\(913\) | 309.926 | 0.339459 | ||||||||
\(914\) | 317.849 | − | 215.252i | 0.347756 | − | 0.235505i | ||||
\(915\) | − | 713.329i | − | 0.779595i | ||||||
\(916\) | 76.6407 | − | 191.740i | 0.0836689 | − | 0.209323i | ||||
\(917\) | −72.4033 | −0.0789567 | ||||||||
\(918\) | 2462.30 | + | 3635.92i | 2.68224 | + | 3.96070i | ||||
\(919\) | − | 1191.69i | − | 1.29672i | −0.761333 | − | 0.648361i | \(-0.775455\pi\) | ||
0.761333 | − | 0.648361i | \(-0.224545\pi\) | |||||||
\(920\) | 244.515 | − | 53.3990i | 0.265777 | − | 0.0580424i | ||||
\(921\) | 2888.85 | 3.13665 | ||||||||
\(922\) | −1294.97 | + | 876.974i | −1.40453 | + | 0.951165i | ||||
\(923\) | − | 84.0136i | − | 0.0910224i | ||||||
\(924\) | −309.805 | − | 123.832i | −0.335286 | − | 0.134018i | ||||
\(925\) | −322.833 | −0.349009 | ||||||||
\(926\) | −748.347 | − | 1105.04i | −0.808150 | − | 1.19334i | ||||
\(927\) | − | 601.423i | − | 0.648784i | ||||||
\(928\) | −916.683 | − | 152.872i | −0.987805 | − | 0.164733i | ||||
\(929\) | 900.005 | 0.968789 | 0.484395 | − | 0.874850i | \(-0.339040\pi\) | ||||
0.484395 | + | 0.874850i | \(0.339040\pi\) | |||||||
\(930\) | −5.38921 | + | 3.64965i | −0.00579485 | + | 0.00392435i | ||||
\(931\) | − | 200.060i | − | 0.214887i | ||||||
\(932\) | 301.131 | − | 753.371i | 0.323102 | − | 0.808338i | ||||
\(933\) | 561.561 | 0.601887 | ||||||||
\(934\) | 218.943 | + | 323.300i | 0.234415 | + | 0.346145i | ||||
\(935\) | 404.206i | 0.432306i | ||||||||
\(936\) | −49.4168 | − | 226.281i | −0.0527957 | − | 0.241753i | ||||
\(937\) | −807.977 | −0.862302 | −0.431151 | − | 0.902280i | \(-0.641892\pi\) | ||||
−0.431151 | + | 0.902280i | \(0.641892\pi\) | |||||||
\(938\) | 8.15734 | − | 5.52427i | 0.00869652 | − | 0.00588941i | ||||
\(939\) | − | 1555.03i | − | 1.65604i | ||||||
\(940\) | −81.3775 | − | 32.5275i | −0.0865718 | − | 0.0346037i | ||||
\(941\) | −1188.52 | −1.26304 | −0.631520 | − | 0.775359i | \(-0.717569\pi\) | ||||
−0.631520 | + | 0.775359i | \(0.717569\pi\) | |||||||
\(942\) | 1353.66 | + | 1998.87i | 1.43701 | + | 2.12194i | ||||
\(943\) | − | 716.620i | − | 0.759936i | ||||||
\(944\) | −769.693 | + | 808.983i | −0.815352 | + | 0.856973i | ||||
\(945\) | −385.040 | −0.407450 | ||||||||
\(946\) | −868.754 | + | 588.333i | −0.918345 | + | 0.621916i | ||||
\(947\) | 117.004i | 0.123552i | 0.998090 | + | 0.0617762i | \(0.0196765\pi\) | ||||
−0.998090 | + | 0.0617762i | \(0.980323\pi\) | |||||||
\(948\) | −228.802 | + | 572.417i | −0.241352 | + | 0.603816i | ||||
\(949\) | −7.15671 | −0.00754131 | ||||||||
\(950\) | 24.4417 | + | 36.0916i | 0.0257281 | + | 0.0379911i | ||||
\(951\) | 1325.04i | 1.39331i | ||||||||
\(952\) | 309.241 | − | 67.5344i | 0.324833 | − | 0.0709395i | ||||
\(953\) | 1355.08 | 1.42191 | 0.710953 | − | 0.703239i | \(-0.248264\pi\) | ||||
0.710953 | + | 0.703239i | \(0.248264\pi\) | |||||||
\(954\) | −2434.76 | + | 1648.86i | −2.55216 | + | 1.72836i | ||||
\(955\) | − | 291.976i | − | 0.305734i | ||||||
\(956\) | 514.171 | + | 205.520i | 0.537835 | + | 0.214979i | ||||
\(957\) | 1375.13 | 1.43692 | ||||||||
\(958\) | −547.855 | − | 808.983i | −0.571873 | − | 0.844449i | ||||
\(959\) | − | 181.088i | − | 0.188830i | ||||||
\(960\) | 351.010 | + | 765.312i | 0.365635 | + | 0.797200i | ||||
\(961\) | 960.939 | 0.999936 | ||||||||
\(962\) | 120.851 | − | 81.8420i | 0.125625 | − | 0.0850749i | ||||
\(963\) | − | 649.680i | − | 0.674642i | ||||||
\(964\) | −27.1082 | + | 67.8193i | −0.0281205 | + | 0.0703520i | ||||
\(965\) | 205.831 | 0.213296 | ||||||||
\(966\) | 162.614 | + | 240.122i | 0.168338 | + | 0.248574i | ||||
\(967\) | − | 415.646i | − | 0.429830i | −0.976633 | − | 0.214915i | \(-0.931053\pi\) | ||
0.976633 | − | 0.214915i | \(-0.0689474\pi\) | |||||||
\(968\) | 95.9768 | + | 439.480i | 0.0991496 | + | 0.454008i | ||||
\(969\) | 576.020 | 0.594447 | ||||||||
\(970\) | −303.626 | + | 205.620i | −0.313016 | + | 0.211979i | ||||
\(971\) | 1657.41i | 1.70691i | 0.521165 | + | 0.853456i | \(0.325497\pi\) | ||||
−0.521165 | + | 0.853456i | \(0.674503\pi\) | |||||||
\(972\) | −4262.40 | − | 1703.73i | −4.38519 | − | 1.75281i | ||||
\(973\) | −131.362 | −0.135007 | ||||||||
\(974\) | 99.8124 | + | 147.387i | 0.102477 | + | 0.151321i | ||||
\(975\) | − | 33.2494i | − | 0.0341020i | ||||||
\(976\) | −628.523 | − | 597.997i | −0.643978 | − | 0.612702i | ||||
\(977\) | −1106.49 | −1.13254 | −0.566269 | − | 0.824221i | \(-0.691614\pi\) | ||||
−0.566269 | + | 0.824221i | \(0.691614\pi\) | |||||||
\(978\) | 3017.73 | − | 2043.65i | 3.08561 | − | 2.08962i | ||||
\(979\) | 891.215i | 0.910332i | ||||||||
\(980\) | 152.367 | − | 381.191i | 0.155476 | − | 0.388971i | ||||
\(981\) | −2372.67 | −2.41862 | ||||||||
\(982\) | −1.04312 | − | 1.54030i | −0.00106224 | − | 0.00156854i | ||||
\(983\) | − | 1217.89i | − | 1.23895i | −0.785017 | − | 0.619474i | \(-0.787346\pi\) | ||
0.785017 | − | 0.619474i | \(-0.212654\pi\) | |||||||
\(984\) | 2355.29 | − | 514.367i | 2.39359 | − | 0.522730i | ||||
\(985\) | 59.2388 | 0.0601409 | ||||||||
\(986\) | −1080.23 | + | 731.544i | −1.09556 | + | 0.741931i | ||||
\(987\) | − | 101.548i | − | 0.102885i | ||||||
\(988\) | −18.2993 | − | 7.31444i | −0.0185215 | − | 0.00740328i | ||||
\(989\) | 912.005 | 0.922148 | ||||||||
\(990\) | −516.951 | − | 763.349i | −0.522172 | − | 0.771059i | ||||
\(991\) | − | 493.603i | − | 0.498086i | −0.968492 | − | 0.249043i | \(-0.919884\pi\) | ||
0.968492 | − | 0.249043i | \(-0.0801160\pi\) | |||||||
\(992\) | −1.30213 | + | 7.80806i | −0.00131263 | + | 0.00787103i | ||||
\(993\) | 693.785 | 0.698675 | ||||||||
\(994\) | −216.831 | + | 146.841i | −0.218139 | + | 0.147727i | ||||
\(995\) | 17.6625i | 0.0177513i | ||||||||
\(996\) | 336.374 | − | 841.542i | 0.337725 | − | 0.844921i | ||||
\(997\) | −1424.98 | −1.42927 | −0.714633 | − | 0.699499i | \(-0.753406\pi\) | ||||
−0.714633 | + | 0.699499i | \(0.753406\pi\) | |||||||
\(998\) | −711.719 | − | 1050.95i | −0.713145 | − | 1.05306i | ||||
\(999\) | − | 6311.52i | − | 6.31784i |
(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 | 380.3.b.a.191.16 | yes | 72 | |
4.3 | odd | 2 | inner | 380.3.b.a.191.15 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.3.b.a.191.15 | ✓ | 72 | 4.3 | odd | 2 | inner | |
380.3.b.a.191.16 | yes | 72 | 1.1 | even | 1 | trivial |