Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(29,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.29");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.c (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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 29.19 | ||
Character | \(\chi\) | \(=\) | 210.29 |
Dual form | 210.3.c.a.29.20 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41421 | 0.707107 | ||||||||
\(3\) | 1.70910 | − | 2.46556i | 0.569700 | − | 0.821853i | ||||
\(4\) | 2.00000 | 0.500000 | ||||||||
\(5\) | 4.99890 | + | 0.104764i | 0.999780 | + | 0.0209527i | ||||
\(6\) | 2.41703 | − | 3.48683i | 0.402838 | − | 0.581138i | ||||
\(7\) | 2.64575i | 0.377964i | ||||||||
\(8\) | 2.82843 | 0.353553 | ||||||||
\(9\) | −3.15796 | − | 8.42777i | −0.350885 | − | 0.936419i | ||||
\(10\) | 7.06952 | + | 0.148158i | 0.706952 | + | 0.0148158i | ||||
\(11\) | 2.66621i | 0.242382i | 0.992629 | + | 0.121191i | \(0.0386714\pi\) | ||||
−0.992629 | + | 0.121191i | \(0.961329\pi\) | |||||||
\(12\) | 3.41820 | − | 4.93112i | 0.284850 | − | 0.410927i | ||||
\(13\) | 5.56242i | 0.427878i | 0.976847 | + | 0.213939i | \(0.0686294\pi\) | ||||
−0.976847 | + | 0.213939i | \(0.931371\pi\) | |||||||
\(14\) | 3.74166i | 0.267261i | ||||||||
\(15\) | 8.80192 | − | 12.1460i | 0.586795 | − | 0.809736i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | −18.5525 | −1.09132 | −0.545662 | − | 0.838005i | \(-0.683722\pi\) | ||||
−0.545662 | + | 0.838005i | \(0.683722\pi\) | |||||||
\(18\) | −4.46603 | − | 11.9187i | −0.248113 | − | 0.662148i | ||||
\(19\) | 0.634999 | 0.0334210 | 0.0167105 | − | 0.999860i | \(-0.494681\pi\) | ||||
0.0167105 | + | 0.999860i | \(0.494681\pi\) | |||||||
\(20\) | 9.99780 | + | 0.209527i | 0.499890 | + | 0.0104764i | ||||
\(21\) | 6.52326 | + | 4.52185i | 0.310631 | + | 0.215326i | ||||
\(22\) | 3.77058i | 0.171390i | ||||||||
\(23\) | −15.6144 | −0.678885 | −0.339442 | − | 0.940627i | \(-0.610238\pi\) | ||||
−0.339442 | + | 0.940627i | \(0.610238\pi\) | |||||||
\(24\) | 4.83406 | − | 6.97365i | 0.201419 | − | 0.290569i | ||||
\(25\) | 24.9780 | + | 1.04741i | 0.999122 | + | 0.0418963i | ||||
\(26\) | 7.86645i | 0.302556i | ||||||||
\(27\) | −26.1764 | − | 6.61774i | −0.969497 | − | 0.245101i | ||||
\(28\) | 5.29150i | 0.188982i | ||||||||
\(29\) | − | 43.3517i | − | 1.49489i | −0.664325 | − | 0.747444i | \(-0.731281\pi\) | ||
0.664325 | − | 0.747444i | \(-0.268719\pi\) | |||||||
\(30\) | 12.4478 | − | 17.1771i | 0.414926 | − | 0.572570i | ||||
\(31\) | 13.5411 | 0.436811 | 0.218406 | − | 0.975858i | \(-0.429914\pi\) | ||||
0.218406 | + | 0.975858i | \(0.429914\pi\) | |||||||
\(32\) | 5.65685 | 0.176777 | ||||||||
\(33\) | 6.57369 | + | 4.55681i | 0.199203 | + | 0.138085i | ||||
\(34\) | −26.2372 | −0.771683 | ||||||||
\(35\) | −0.277179 | + | 13.2259i | −0.00791939 | + | 0.377881i | ||||
\(36\) | −6.31593 | − | 16.8555i | −0.175442 | − | 0.468209i | ||||
\(37\) | 35.0014i | 0.945984i | 0.881067 | + | 0.472992i | \(0.156826\pi\) | ||||
−0.881067 | + | 0.472992i | \(0.843174\pi\) | |||||||
\(38\) | 0.898024 | 0.0236322 | ||||||||
\(39\) | 13.7145 | + | 9.50672i | 0.351653 | + | 0.243762i | ||||
\(40\) | 14.1390 | + | 0.296316i | 0.353476 | + | 0.00740791i | ||||
\(41\) | 15.6116i | 0.380770i | 0.981710 | + | 0.190385i | \(0.0609736\pi\) | ||||
−0.981710 | + | 0.190385i | \(0.939026\pi\) | |||||||
\(42\) | 9.22528 | + | 6.39486i | 0.219649 | + | 0.152259i | ||||
\(43\) | 64.4699i | 1.49930i | 0.661835 | + | 0.749650i | \(0.269778\pi\) | ||||
−0.661835 | + | 0.749650i | \(0.730222\pi\) | |||||||
\(44\) | 5.33241i | 0.121191i | ||||||||
\(45\) | −14.9034 | − | 42.4604i | −0.331187 | − | 0.943565i | ||||
\(46\) | −22.0820 | −0.480044 | ||||||||
\(47\) | −52.5576 | −1.11825 | −0.559124 | − | 0.829084i | \(-0.688862\pi\) | ||||
−0.559124 | + | 0.829084i | \(0.688862\pi\) | |||||||
\(48\) | 6.83639 | − | 9.86224i | 0.142425 | − | 0.205463i | ||||
\(49\) | −7.00000 | −0.142857 | ||||||||
\(50\) | 35.3243 | + | 1.48126i | 0.706486 | + | 0.0296251i | ||||
\(51\) | −31.7081 | + | 45.7423i | −0.621727 | + | 0.896908i | ||||
\(52\) | 11.1248i | 0.213939i | ||||||||
\(53\) | 51.6056 | 0.973691 | 0.486846 | − | 0.873488i | \(-0.338147\pi\) | ||||
0.486846 | + | 0.873488i | \(0.338147\pi\) | |||||||
\(54\) | −37.0191 | − | 9.35890i | −0.685538 | − | 0.173313i | ||||
\(55\) | −0.279321 | + | 13.3281i | −0.00507857 | + | 0.242329i | ||||
\(56\) | 7.48331i | 0.133631i | ||||||||
\(57\) | 1.08528 | − | 1.56563i | 0.0190399 | − | 0.0274672i | ||||
\(58\) | − | 61.3086i | − | 1.05705i | ||||||
\(59\) | 32.9384i | 0.558277i | 0.960251 | + | 0.279139i | \(0.0900489\pi\) | ||||
−0.960251 | + | 0.279139i | \(0.909951\pi\) | |||||||
\(60\) | 17.6038 | − | 24.2921i | 0.293397 | − | 0.404868i | ||||
\(61\) | −104.197 | −1.70815 | −0.854077 | − | 0.520147i | \(-0.825877\pi\) | ||||
−0.854077 | + | 0.520147i | \(0.825877\pi\) | |||||||
\(62\) | 19.1501 | 0.308872 | ||||||||
\(63\) | 22.2978 | − | 8.35519i | 0.353933 | − | 0.132622i | ||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | −0.582739 | + | 27.8060i | −0.00896522 | + | 0.427784i | ||||
\(66\) | 9.29660 | + | 6.44430i | 0.140858 | + | 0.0976409i | ||||
\(67\) | 113.588i | 1.69535i | 0.530519 | + | 0.847673i | \(0.321997\pi\) | ||||
−0.530519 | + | 0.847673i | \(0.678003\pi\) | |||||||
\(68\) | −37.1050 | −0.545662 | ||||||||
\(69\) | −26.6865 | + | 38.4981i | −0.386760 | + | 0.557944i | ||||
\(70\) | −0.391990 | + | 18.7042i | −0.00559985 | + | 0.267203i | ||||
\(71\) | − | 36.8746i | − | 0.519361i | −0.965695 | − | 0.259680i | \(-0.916383\pi\) | ||
0.965695 | − | 0.259680i | \(-0.0836172\pi\) | |||||||
\(72\) | −8.93207 | − | 23.8373i | −0.124057 | − | 0.331074i | ||||
\(73\) | − | 144.926i | − | 1.98529i | −0.121058 | − | 0.992645i | \(-0.538629\pi\) | ||
0.121058 | − | 0.992645i | \(-0.461371\pi\) | |||||||
\(74\) | 49.4995i | 0.668912i | ||||||||
\(75\) | 45.2724 | − | 59.7947i | 0.603632 | − | 0.797263i | ||||
\(76\) | 1.27000 | 0.0167105 | ||||||||
\(77\) | −7.05412 | −0.0916119 | ||||||||
\(78\) | 19.3952 | + | 13.4445i | 0.248656 | + | 0.172366i | ||||
\(79\) | 57.9487 | 0.733528 | 0.366764 | − | 0.930314i | \(-0.380466\pi\) | ||||
0.366764 | + | 0.930314i | \(0.380466\pi\) | |||||||
\(80\) | 19.9956 | + | 0.419055i | 0.249945 | + | 0.00523818i | ||||
\(81\) | −61.0545 | + | 53.2292i | −0.753760 | + | 0.657150i | ||||
\(82\) | 22.0781i | 0.269245i | ||||||||
\(83\) | 45.0936 | 0.543296 | 0.271648 | − | 0.962397i | \(-0.412431\pi\) | ||||
0.271648 | + | 0.962397i | \(0.412431\pi\) | |||||||
\(84\) | 13.0465 | + | 9.04370i | 0.155316 | + | 0.107663i | ||||
\(85\) | −92.7422 | − | 1.94363i | −1.09109 | − | 0.0228662i | ||||
\(86\) | 91.1742i | 1.06016i | ||||||||
\(87\) | −106.886 | − | 74.0924i | −1.22858 | − | 0.851637i | ||||
\(88\) | 7.54117i | 0.0856951i | ||||||||
\(89\) | − | 80.9733i | − | 0.909813i | −0.890539 | − | 0.454906i | \(-0.849673\pi\) | ||
0.890539 | − | 0.454906i | \(-0.150327\pi\) | |||||||
\(90\) | −21.0766 | − | 60.0481i | −0.234185 | − | 0.667201i | ||||
\(91\) | −14.7168 | −0.161723 | ||||||||
\(92\) | −31.2287 | −0.339442 | ||||||||
\(93\) | 23.1432 | − | 33.3865i | 0.248851 | − | 0.358995i | ||||
\(94\) | −74.3277 | −0.790720 | ||||||||
\(95\) | 3.17430 | + | 0.0665248i | 0.0334137 | + | 0.000700261i | ||||
\(96\) | 9.66812 | − | 13.9473i | 0.100710 | − | 0.145284i | ||||
\(97\) | 96.2255i | 0.992016i | 0.868318 | + | 0.496008i | \(0.165201\pi\) | ||||
−0.868318 | + | 0.496008i | \(0.834799\pi\) | |||||||
\(98\) | −9.89949 | −0.101015 | ||||||||
\(99\) | 22.4702 | − | 8.41978i | 0.226971 | − | 0.0850483i | ||||
\(100\) | 49.9561 | + | 2.09481i | 0.499561 | + | 0.0209481i | ||||
\(101\) | − | 91.9696i | − | 0.910590i | −0.890341 | − | 0.455295i | \(-0.849534\pi\) | ||
0.890341 | − | 0.455295i | \(-0.150466\pi\) | |||||||
\(102\) | −44.8420 | + | 64.6894i | −0.439627 | + | 0.634210i | ||||
\(103\) | 30.6043i | 0.297129i | 0.988903 | + | 0.148565i | \(0.0474653\pi\) | ||||
−0.988903 | + | 0.148565i | \(0.952535\pi\) | |||||||
\(104\) | 15.7329i | 0.151278i | ||||||||
\(105\) | 32.1354 | + | 23.2877i | 0.306051 | + | 0.221787i | ||||
\(106\) | 72.9814 | 0.688504 | ||||||||
\(107\) | −190.645 | −1.78173 | −0.890864 | − | 0.454270i | \(-0.849900\pi\) | ||||
−0.890864 | + | 0.454270i | \(0.849900\pi\) | |||||||
\(108\) | −52.3529 | − | 13.2355i | −0.484749 | − | 0.122551i | ||||
\(109\) | 73.9965 | 0.678867 | 0.339433 | − | 0.940630i | \(-0.389765\pi\) | ||||
0.339433 | + | 0.940630i | \(0.389765\pi\) | |||||||
\(110\) | −0.395020 | + | 18.8488i | −0.00359109 | + | 0.171353i | ||||
\(111\) | 86.2980 | + | 59.8208i | 0.777460 | + | 0.538927i | ||||
\(112\) | 10.5830i | 0.0944911i | ||||||||
\(113\) | 128.861 | 1.14037 | 0.570183 | − | 0.821518i | \(-0.306872\pi\) | ||||
0.570183 | + | 0.821518i | \(0.306872\pi\) | |||||||
\(114\) | 1.53481 | − | 2.21413i | 0.0134633 | − | 0.0194222i | ||||
\(115\) | −78.0546 | − | 1.63582i | −0.678736 | − | 0.0142245i | ||||
\(116\) | − | 86.7035i | − | 0.747444i | ||||||
\(117\) | 46.8788 | − | 17.5659i | 0.400673 | − | 0.150136i | ||||
\(118\) | 46.5819i | 0.394762i | ||||||||
\(119\) | − | 49.0853i | − | 0.412482i | ||||||
\(120\) | 24.8956 | − | 34.3542i | 0.207463 | − | 0.286285i | ||||
\(121\) | 113.891 | 0.941251 | ||||||||
\(122\) | −147.357 | −1.20785 | ||||||||
\(123\) | 38.4912 | + | 26.6817i | 0.312937 | + | 0.216924i | ||||
\(124\) | 27.0823 | 0.218406 | ||||||||
\(125\) | 124.753 | + | 7.85267i | 0.998025 | + | 0.0628214i | ||||
\(126\) | 31.5338 | − | 11.8160i | 0.250268 | − | 0.0937779i | ||||
\(127\) | 95.8035i | 0.754358i | 0.926140 | + | 0.377179i | \(0.123106\pi\) | ||||
−0.926140 | + | 0.377179i | \(0.876894\pi\) | |||||||
\(128\) | 11.3137 | 0.0883883 | ||||||||
\(129\) | 158.954 | + | 110.185i | 1.23220 | + | 0.854150i | ||||
\(130\) | −0.824118 | + | 39.3236i | −0.00633937 | + | 0.302489i | ||||
\(131\) | − | 148.465i | − | 1.13332i | −0.823952 | − | 0.566660i | \(-0.808235\pi\) | ||
0.823952 | − | 0.566660i | \(-0.191765\pi\) | |||||||
\(132\) | 13.1474 | + | 9.11361i | 0.0996013 | + | 0.0690425i | ||||
\(133\) | 1.68005i | 0.0126320i | ||||||||
\(134\) | 160.638i | 1.19879i | ||||||||
\(135\) | −130.160 | − | 35.8238i | −0.964149 | − | 0.265361i | ||||
\(136\) | −52.4744 | −0.385842 | ||||||||
\(137\) | 115.295 | 0.841572 | 0.420786 | − | 0.907160i | \(-0.361754\pi\) | ||||
0.420786 | + | 0.907160i | \(0.361754\pi\) | |||||||
\(138\) | −37.7404 | + | 54.4445i | −0.273481 | + | 0.394526i | ||||
\(139\) | 95.1005 | 0.684176 | 0.342088 | − | 0.939668i | \(-0.388866\pi\) | ||||
0.342088 | + | 0.939668i | \(0.388866\pi\) | |||||||
\(140\) | −0.554357 | + | 26.4517i | −0.00395969 | + | 0.188941i | ||||
\(141\) | −89.8262 | + | 129.584i | −0.637065 | + | 0.919035i | ||||
\(142\) | − | 52.1486i | − | 0.367244i | ||||||
\(143\) | −14.8305 | −0.103710 | ||||||||
\(144\) | −12.6319 | − | 33.7111i | −0.0877212 | − | 0.234105i | ||||
\(145\) | 4.54169 | − | 216.711i | 0.0313220 | − | 1.49456i | ||||
\(146\) | − | 204.957i | − | 1.40381i | ||||||
\(147\) | −11.9637 | + | 17.2589i | −0.0813857 | + | 0.117408i | ||||
\(148\) | 70.0028i | 0.472992i | ||||||||
\(149\) | − | 179.342i | − | 1.20364i | −0.798632 | − | 0.601820i | \(-0.794442\pi\) | ||
0.798632 | − | 0.601820i | \(-0.205558\pi\) | |||||||
\(150\) | 64.0248 | − | 84.5625i | 0.426832 | − | 0.563750i | ||||
\(151\) | 45.6621 | 0.302398 | 0.151199 | − | 0.988503i | \(-0.451687\pi\) | ||||
0.151199 | + | 0.988503i | \(0.451687\pi\) | |||||||
\(152\) | 1.79605 | 0.0118161 | ||||||||
\(153\) | 58.5882 | + | 156.356i | 0.382929 | + | 1.02194i | ||||
\(154\) | −9.97603 | −0.0647794 | ||||||||
\(155\) | 67.6909 | + | 1.41862i | 0.436715 | + | 0.00915238i | ||||
\(156\) | 27.4289 | + | 19.0134i | 0.175827 | + | 0.121881i | ||||
\(157\) | − | 223.977i | − | 1.42661i | −0.700856 | − | 0.713303i | \(-0.747198\pi\) | ||
0.700856 | − | 0.713303i | \(-0.252802\pi\) | |||||||
\(158\) | 81.9518 | 0.518683 | ||||||||
\(159\) | 88.1991 | − | 127.237i | 0.554711 | − | 0.800231i | ||||
\(160\) | 28.2781 | + | 0.592633i | 0.176738 | + | 0.00370395i | ||||
\(161\) | − | 41.3117i | − | 0.256594i | ||||||
\(162\) | −86.3441 | + | 75.2774i | −0.532989 | + | 0.464675i | ||||
\(163\) | − | 300.309i | − | 1.84239i | −0.389102 | − | 0.921195i | \(-0.627215\pi\) | ||
0.389102 | − | 0.921195i | \(-0.372785\pi\) | |||||||
\(164\) | 31.2231i | 0.190385i | ||||||||
\(165\) | 32.3838 | + | 23.4677i | 0.196266 | + | 0.142229i | ||||
\(166\) | 63.7719 | 0.384168 | ||||||||
\(167\) | −125.443 | −0.751158 | −0.375579 | − | 0.926790i | \(-0.622556\pi\) | ||||
−0.375579 | + | 0.926790i | \(0.622556\pi\) | |||||||
\(168\) | 18.4506 | + | 12.7897i | 0.109825 | + | 0.0761293i | ||||
\(169\) | 138.060 | 0.816920 | ||||||||
\(170\) | −131.157 | − | 2.74871i | −0.771514 | − | 0.0161689i | ||||
\(171\) | −2.00530 | − | 5.35163i | −0.0117269 | − | 0.0312961i | ||||
\(172\) | 128.940i | 0.749650i | ||||||||
\(173\) | −195.635 | −1.13084 | −0.565419 | − | 0.824804i | \(-0.691286\pi\) | ||||
−0.565419 | + | 0.824804i | \(0.691286\pi\) | |||||||
\(174\) | −151.160 | − | 104.782i | −0.868736 | − | 0.602198i | ||||
\(175\) | −2.77118 | + | 66.0857i | −0.0158353 | + | 0.377633i | ||||
\(176\) | 10.6648i | 0.0605956i | ||||||||
\(177\) | 81.2115 | + | 56.2949i | 0.458822 | + | 0.318050i | ||||
\(178\) | − | 114.514i | − | 0.643335i | ||||||
\(179\) | 164.110i | 0.916815i | 0.888742 | + | 0.458408i | \(0.151580\pi\) | ||||
−0.888742 | + | 0.458408i | \(0.848420\pi\) | |||||||
\(180\) | −29.8069 | − | 84.9209i | −0.165594 | − | 0.471783i | ||||
\(181\) | 113.029 | 0.624468 | 0.312234 | − | 0.950005i | \(-0.398923\pi\) | ||||
0.312234 | + | 0.950005i | \(0.398923\pi\) | |||||||
\(182\) | −20.8127 | −0.114355 | ||||||||
\(183\) | −178.084 | + | 256.905i | −0.973135 | + | 1.40385i | ||||
\(184\) | −44.1641 | −0.240022 | ||||||||
\(185\) | −3.66687 | + | 174.969i | −0.0198209 | + | 0.945776i | ||||
\(186\) | 32.7294 | − | 47.2156i | 0.175964 | − | 0.253847i | ||||
\(187\) | − | 49.4648i | − | 0.264518i | ||||||
\(188\) | −105.115 | −0.559124 | ||||||||
\(189\) | 17.5089 | − | 69.2563i | 0.0926397 | − | 0.366436i | ||||
\(190\) | 4.48914 | + | 0.0940803i | 0.0236270 | + | 0.000495160i | ||||
\(191\) | − | 196.398i | − | 1.02826i | −0.857711 | − | 0.514132i | \(-0.828114\pi\) | ||
0.857711 | − | 0.514132i | \(-0.171886\pi\) | |||||||
\(192\) | 13.6728 | − | 19.7245i | 0.0712124 | − | 0.102732i | ||||
\(193\) | − | 282.304i | − | 1.46272i | −0.681994 | − | 0.731358i | \(-0.738887\pi\) | ||
0.681994 | − | 0.731358i | \(-0.261113\pi\) | |||||||
\(194\) | 136.083i | 0.701461i | ||||||||
\(195\) | 67.5613 | + | 48.9599i | 0.346468 | + | 0.251077i | ||||
\(196\) | −14.0000 | −0.0714286 | ||||||||
\(197\) | 286.761 | 1.45564 | 0.727821 | − | 0.685767i | \(-0.240533\pi\) | ||||
0.727821 | + | 0.685767i | \(0.240533\pi\) | |||||||
\(198\) | 31.7776 | − | 11.9074i | 0.160493 | − | 0.0601382i | ||||
\(199\) | −74.9133 | −0.376449 | −0.188224 | − | 0.982126i | \(-0.560273\pi\) | ||||
−0.188224 | + | 0.982126i | \(0.560273\pi\) | |||||||
\(200\) | 70.6486 | + | 2.96251i | 0.353243 | + | 0.0148126i | ||||
\(201\) | 280.058 | + | 194.133i | 1.39333 | + | 0.965838i | ||||
\(202\) | − | 130.065i | − | 0.643884i | ||||||
\(203\) | 114.698 | 0.565014 | ||||||||
\(204\) | −63.4162 | + | 91.4847i | −0.310864 | + | 0.448454i | ||||
\(205\) | −1.63552 | + | 78.0406i | −0.00797816 | + | 0.380686i | ||||
\(206\) | 43.2810i | 0.210102i | ||||||||
\(207\) | 49.3096 | + | 131.594i | 0.238210 | + | 0.635720i | ||||
\(208\) | 22.2497i | 0.106970i | ||||||||
\(209\) | 1.69304i | 0.00810066i | ||||||||
\(210\) | 45.4463 | + | 32.9338i | 0.216411 | + | 0.156827i | ||||
\(211\) | −136.746 | −0.648083 | −0.324042 | − | 0.946043i | \(-0.605042\pi\) | ||||
−0.324042 | + | 0.946043i | \(0.605042\pi\) | |||||||
\(212\) | 103.211 | 0.486846 | ||||||||
\(213\) | −90.9166 | − | 63.0224i | −0.426838 | − | 0.295880i | ||||
\(214\) | −269.613 | −1.25987 | ||||||||
\(215\) | −6.75410 | + | 322.279i | −0.0314144 | + | 1.49897i | ||||
\(216\) | −74.0381 | − | 18.7178i | −0.342769 | − | 0.0866565i | ||||
\(217\) | 35.8265i | 0.165099i | ||||||||
\(218\) | 104.647 | 0.480031 | ||||||||
\(219\) | −357.324 | − | 247.693i | −1.63162 | − | 1.13102i | ||||
\(220\) | −0.558643 | + | 26.6562i | −0.00253929 | + | 0.121165i | ||||
\(221\) | − | 103.197i | − | 0.466954i | ||||||
\(222\) | 122.044 | + | 84.5994i | 0.549747 | + | 0.381079i | ||||
\(223\) | 25.8662i | 0.115992i | 0.998317 | + | 0.0579959i | \(0.0184710\pi\) | ||||
−0.998317 | + | 0.0579959i | \(0.981529\pi\) | |||||||
\(224\) | 14.9666i | 0.0668153i | ||||||||
\(225\) | −70.0525 | − | 213.817i | −0.311344 | − | 0.950297i | ||||
\(226\) | 182.238 | 0.806361 | ||||||||
\(227\) | −24.3393 | −0.107222 | −0.0536109 | − | 0.998562i | \(-0.517073\pi\) | ||||
−0.0536109 | + | 0.998562i | \(0.517073\pi\) | |||||||
\(228\) | 2.17055 | − | 3.13126i | 0.00951997 | − | 0.0137336i | ||||
\(229\) | −241.018 | −1.05248 | −0.526239 | − | 0.850336i | \(-0.676398\pi\) | ||||
−0.526239 | + | 0.850336i | \(0.676398\pi\) | |||||||
\(230\) | −110.386 | − | 2.31339i | −0.479939 | − | 0.0100582i | ||||
\(231\) | −12.0562 | + | 17.3923i | −0.0521913 | + | 0.0752915i | ||||
\(232\) | − | 122.617i | − | 0.528523i | ||||||
\(233\) | −24.9582 | −0.107117 | −0.0535584 | − | 0.998565i | \(-0.517056\pi\) | ||||
−0.0535584 | + | 0.998565i | \(0.517056\pi\) | |||||||
\(234\) | 66.2966 | − | 24.8420i | 0.283319 | − | 0.106162i | ||||
\(235\) | −262.731 | − | 5.50613i | −1.11800 | − | 0.0234303i | ||||
\(236\) | 65.8767i | 0.279139i | ||||||||
\(237\) | 99.0401 | − | 142.876i | 0.417891 | − | 0.602852i | ||||
\(238\) | − | 69.4172i | − | 0.291669i | ||||||
\(239\) | 240.780i | 1.00745i | 0.863864 | + | 0.503725i | \(0.168037\pi\) | ||||
−0.863864 | + | 0.503725i | \(0.831963\pi\) | |||||||
\(240\) | 35.2077 | − | 48.5842i | 0.146699 | − | 0.202434i | ||||
\(241\) | −147.382 | −0.611543 | −0.305771 | − | 0.952105i | \(-0.598914\pi\) | ||||
−0.305771 | + | 0.952105i | \(0.598914\pi\) | |||||||
\(242\) | 161.067 | 0.665565 | ||||||||
\(243\) | 26.8914 | + | 241.507i | 0.110664 | + | 0.993858i | ||||
\(244\) | −208.395 | −0.854077 | ||||||||
\(245\) | −34.9923 | − | 0.733345i | −0.142826 | − | 0.00299325i | ||||
\(246\) | 54.4348 | + | 37.7336i | 0.221280 | + | 0.153389i | ||||
\(247\) | 3.53213i | 0.0143001i | ||||||||
\(248\) | 38.3001 | 0.154436 | ||||||||
\(249\) | 77.0693 | − | 111.181i | 0.309515 | − | 0.446509i | ||||
\(250\) | 176.428 | + | 11.1054i | 0.705710 | + | 0.0444214i | ||||
\(251\) | 387.525i | 1.54393i | 0.635668 | + | 0.771963i | \(0.280725\pi\) | ||||
−0.635668 | + | 0.771963i | \(0.719275\pi\) | |||||||
\(252\) | 44.5956 | − | 16.7104i | 0.176966 | − | 0.0663110i | ||||
\(253\) | − | 41.6311i | − | 0.164550i | ||||||
\(254\) | 135.487i | 0.533412i | ||||||||
\(255\) | −163.298 | + | 225.340i | −0.640383 | + | 0.883685i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | 11.2525 | 0.0437839 | 0.0218919 | − | 0.999760i | \(-0.493031\pi\) | ||||
0.0218919 | + | 0.999760i | \(0.493031\pi\) | |||||||
\(258\) | 224.795 | + | 155.826i | 0.871300 | + | 0.603975i | ||||
\(259\) | −92.6050 | −0.357548 | ||||||||
\(260\) | −1.16548 | + | 55.6120i | −0.00448261 | + | 0.213892i | ||||
\(261\) | −365.358 | + | 136.903i | −1.39984 | + | 0.524533i | ||||
\(262\) | − | 209.961i | − | 0.801378i | ||||||
\(263\) | −308.658 | −1.17361 | −0.586803 | − | 0.809730i | \(-0.699614\pi\) | ||||
−0.586803 | + | 0.809730i | \(0.699614\pi\) | |||||||
\(264\) | 18.5932 | + | 12.8886i | 0.0704288 | + | 0.0488204i | ||||
\(265\) | 257.971 | + | 5.40639i | 0.973477 | + | 0.0204015i | ||||
\(266\) | 2.37595i | 0.00893214i | ||||||||
\(267\) | −199.644 | − | 138.391i | −0.747732 | − | 0.518320i | ||||
\(268\) | 227.176i | 0.847673i | ||||||||
\(269\) | 198.926i | 0.739503i | 0.929131 | + | 0.369751i | \(0.120557\pi\) | ||||
−0.929131 | + | 0.369751i | \(0.879443\pi\) | |||||||
\(270\) | −184.074 | − | 50.6625i | −0.681756 | − | 0.187639i | ||||
\(271\) | −176.341 | −0.650706 | −0.325353 | − | 0.945593i | \(-0.605483\pi\) | ||||
−0.325353 | + | 0.945593i | \(0.605483\pi\) | |||||||
\(272\) | −74.2101 | −0.272831 | ||||||||
\(273\) | −25.1524 | + | 36.2851i | −0.0921334 | + | 0.132912i | ||||
\(274\) | 163.052 | 0.595082 | ||||||||
\(275\) | −2.79260 | + | 66.5966i | −0.0101549 | + | 0.242169i | ||||
\(276\) | −53.3729 | + | 76.9962i | −0.193380 | + | 0.278972i | ||||
\(277\) | 433.093i | 1.56351i | 0.623583 | + | 0.781757i | \(0.285676\pi\) | ||||
−0.623583 | + | 0.781757i | \(0.714324\pi\) | |||||||
\(278\) | 134.492 | 0.483786 | ||||||||
\(279\) | −42.7624 | − | 114.122i | −0.153270 | − | 0.409038i | ||||
\(280\) | −0.783979 | + | 37.4084i | −0.00279993 | + | 0.133601i | ||||
\(281\) | − | 281.134i | − | 1.00048i | −0.865887 | − | 0.500239i | \(-0.833246\pi\) | ||
0.865887 | − | 0.500239i | \(-0.166754\pi\) | |||||||
\(282\) | −127.033 | + | 183.259i | −0.450473 | + | 0.649856i | ||||
\(283\) | 113.795i | 0.402101i | 0.979581 | + | 0.201050i | \(0.0644355\pi\) | ||||
−0.979581 | + | 0.201050i | \(0.935565\pi\) | |||||||
\(284\) | − | 73.7492i | − | 0.259680i | ||||||
\(285\) | 5.58921 | − | 7.71272i | 0.0196113 | − | 0.0270622i | ||||
\(286\) | −20.9736 | −0.0733341 | ||||||||
\(287\) | −41.3043 | −0.143917 | ||||||||
\(288\) | −17.8641 | − | 47.6747i | −0.0620283 | − | 0.165537i | ||||
\(289\) | 55.1959 | 0.190989 | ||||||||
\(290\) | 6.42291 | − | 306.476i | 0.0221480 | − | 1.05681i | ||||
\(291\) | 237.250 | + | 164.459i | 0.815291 | + | 0.565151i | ||||
\(292\) | − | 289.852i | − | 0.992645i | ||||||
\(293\) | −355.330 | −1.21273 | −0.606365 | − | 0.795187i | \(-0.707373\pi\) | ||||
−0.606365 | + | 0.795187i | \(0.707373\pi\) | |||||||
\(294\) | −16.9192 | + | 24.4078i | −0.0575483 | + | 0.0830197i | ||||
\(295\) | −3.45074 | + | 164.656i | −0.0116974 | + | 0.558155i | ||||
\(296\) | 98.9989i | 0.334456i | ||||||||
\(297\) | 17.6443 | − | 69.7917i | 0.0594083 | − | 0.234989i | ||||
\(298\) | − | 253.628i | − | 0.851102i | ||||||
\(299\) | − | 86.8535i | − | 0.290480i | ||||||
\(300\) | 90.5448 | − | 119.589i | 0.301816 | − | 0.398632i | ||||
\(301\) | −170.571 | −0.566682 | ||||||||
\(302\) | 64.5759 | 0.213828 | ||||||||
\(303\) | −226.756 | − | 157.185i | −0.748371 | − | 0.518763i | ||||
\(304\) | 2.54000 | 0.00835525 | ||||||||
\(305\) | −520.873 | − | 10.9161i | −1.70778 | − | 0.0357905i | ||||
\(306\) | 82.8562 | + | 221.121i | 0.270772 | + | 0.722618i | ||||
\(307\) | − | 404.490i | − | 1.31756i | −0.752337 | − | 0.658778i | \(-0.771074\pi\) | ||
0.752337 | − | 0.658778i | \(-0.228926\pi\) | |||||||
\(308\) | −14.1082 | −0.0458059 | ||||||||
\(309\) | 75.4567 | + | 52.3058i | 0.244196 | + | 0.169274i | ||||
\(310\) | 95.7293 | + | 2.00623i | 0.308804 | + | 0.00647171i | ||||
\(311\) | − | 530.330i | − | 1.70524i | −0.522530 | − | 0.852621i | \(-0.675012\pi\) | ||
0.522530 | − | 0.852621i | \(-0.324988\pi\) | |||||||
\(312\) | 38.7904 | + | 26.8891i | 0.124328 | + | 0.0861829i | ||||
\(313\) | 561.172i | 1.79288i | 0.443165 | + | 0.896440i | \(0.353856\pi\) | ||||
−0.443165 | + | 0.896440i | \(0.646144\pi\) | |||||||
\(314\) | − | 316.751i | − | 1.00876i | ||||||
\(315\) | 112.340 | − | 39.4308i | 0.356634 | − | 0.125177i | ||||
\(316\) | 115.897 | 0.366764 | ||||||||
\(317\) | 264.560 | 0.834574 | 0.417287 | − | 0.908775i | \(-0.362981\pi\) | ||||
0.417287 | + | 0.908775i | \(0.362981\pi\) | |||||||
\(318\) | 124.732 | − | 179.940i | 0.392240 | − | 0.565849i | ||||
\(319\) | 115.585 | 0.362334 | ||||||||
\(320\) | 39.9912 | + | 0.838109i | 0.124973 | + | 0.00261909i | ||||
\(321\) | −325.831 | + | 470.046i | −1.01505 | + | 1.46432i | ||||
\(322\) | − | 58.4236i | − | 0.181440i | ||||||
\(323\) | −11.7808 | −0.0364732 | ||||||||
\(324\) | −122.109 | + | 106.458i | −0.376880 | + | 0.328575i | ||||
\(325\) | −5.82611 | + | 138.938i | −0.0179265 | + | 0.427503i | ||||
\(326\) | − | 424.702i | − | 1.30277i | ||||||
\(327\) | 126.467 | − | 182.443i | 0.386750 | − | 0.557929i | ||||
\(328\) | 44.1561i | 0.134622i | ||||||||
\(329\) | − | 139.054i | − | 0.422658i | ||||||
\(330\) | 45.7976 | + | 33.1884i | 0.138781 | + | 0.100571i | ||||
\(331\) | 540.436 | 1.63274 | 0.816369 | − | 0.577530i | \(-0.195984\pi\) | ||||
0.816369 | + | 0.577530i | \(0.195984\pi\) | |||||||
\(332\) | 90.1871 | 0.271648 | ||||||||
\(333\) | 294.984 | − | 110.533i | 0.885837 | − | 0.331931i | ||||
\(334\) | −177.404 | −0.531149 | ||||||||
\(335\) | −11.8999 | + | 567.816i | −0.0355221 | + | 1.69497i | ||||
\(336\) | 26.0930 | + | 18.0874i | 0.0776578 | + | 0.0538315i | ||||
\(337\) | − | 444.323i | − | 1.31847i | −0.751939 | − | 0.659233i | \(-0.770881\pi\) | ||
0.751939 | − | 0.659233i | \(-0.229119\pi\) | |||||||
\(338\) | 195.246 | 0.577650 | ||||||||
\(339\) | 220.237 | − | 317.715i | 0.649666 | − | 0.937214i | ||||
\(340\) | −185.484 | − | 3.88726i | −0.545543 | − | 0.0114331i | ||||
\(341\) | 36.1035i | 0.105875i | ||||||||
\(342\) | −2.83593 | − | 7.56834i | −0.00829219 | − | 0.0221297i | ||||
\(343\) | − | 18.5203i | − | 0.0539949i | ||||||
\(344\) | 182.348i | 0.530082i | ||||||||
\(345\) | −137.436 | + | 189.653i | −0.398366 | + | 0.549717i | ||||
\(346\) | −276.670 | −0.799624 | ||||||||
\(347\) | 253.956 | 0.731861 | 0.365931 | − | 0.930642i | \(-0.380751\pi\) | ||||
0.365931 | + | 0.930642i | \(0.380751\pi\) | |||||||
\(348\) | −213.773 | − | 148.185i | −0.614289 | − | 0.425818i | ||||
\(349\) | 415.627 | 1.19091 | 0.595454 | − | 0.803389i | \(-0.296972\pi\) | ||||
0.595454 | + | 0.803389i | \(0.296972\pi\) | |||||||
\(350\) | −3.91904 | + | 93.4593i | −0.0111972 | + | 0.267027i | ||||
\(351\) | 36.8106 | − | 145.604i | 0.104874 | − | 0.414827i | ||||
\(352\) | 15.0823i | 0.0428475i | ||||||||
\(353\) | 278.041 | 0.787652 | 0.393826 | − | 0.919185i | \(-0.371151\pi\) | ||||
0.393826 | + | 0.919185i | \(0.371151\pi\) | |||||||
\(354\) | 114.850 | + | 79.6130i | 0.324436 | + | 0.224895i | ||||
\(355\) | 3.86312 | − | 184.333i | 0.0108820 | − | 0.519247i | ||||
\(356\) | − | 161.947i | − | 0.454906i | ||||||
\(357\) | −121.023 | − | 83.8917i | −0.339000 | − | 0.234991i | ||||
\(358\) | 232.086i | 0.648286i | ||||||||
\(359\) | 81.6150i | 0.227340i | 0.993519 | + | 0.113670i | \(0.0362606\pi\) | ||||
−0.993519 | + | 0.113670i | \(0.963739\pi\) | |||||||
\(360\) | −42.1533 | − | 120.096i | −0.117092 | − | 0.333601i | ||||
\(361\) | −360.597 | −0.998883 | ||||||||
\(362\) | 159.847 | 0.441565 | ||||||||
\(363\) | 194.652 | − | 280.806i | 0.536230 | − | 0.773570i | ||||
\(364\) | −29.4335 | −0.0808614 | ||||||||
\(365\) | 15.1830 | − | 724.472i | 0.0415973 | − | 1.98485i | ||||
\(366\) | −251.848 | + | 363.318i | −0.688110 | + | 0.992673i | ||||
\(367\) | 514.501i | 1.40191i | 0.713206 | + | 0.700955i | \(0.247242\pi\) | ||||
−0.713206 | + | 0.700955i | \(0.752758\pi\) | |||||||
\(368\) | −62.4574 | −0.169721 | ||||||||
\(369\) | 131.571 | − | 49.3007i | 0.356560 | − | 0.133606i | ||||
\(370\) | −5.18574 | + | 247.443i | −0.0140155 | + | 0.668765i | ||||
\(371\) | 136.536i | 0.368021i | ||||||||
\(372\) | 46.2863 | − | 66.7730i | 0.124426 | − | 0.179497i | ||||
\(373\) | − | 80.1359i | − | 0.214842i | −0.994214 | − | 0.107421i | \(-0.965741\pi\) | ||
0.994214 | − | 0.107421i | \(-0.0342592\pi\) | |||||||
\(374\) | − | 69.9538i | − | 0.187042i | ||||||
\(375\) | 232.577 | − | 294.165i | 0.620204 | − | 0.784440i | ||||
\(376\) | −148.655 | −0.395360 | ||||||||
\(377\) | 241.140 | 0.639630 | ||||||||
\(378\) | 24.7613 | − | 97.9432i | 0.0655061 | − | 0.259109i | ||||
\(379\) | 706.877 | 1.86511 | 0.932556 | − | 0.361026i | \(-0.117573\pi\) | ||||
0.932556 | + | 0.361026i | \(0.117573\pi\) | |||||||
\(380\) | 6.34860 | + | 0.133050i | 0.0167068 | + | 0.000350131i | ||||
\(381\) | 236.209 | + | 163.738i | 0.619972 | + | 0.429758i | ||||
\(382\) | − | 277.749i | − | 0.727092i | ||||||
\(383\) | −49.2802 | −0.128669 | −0.0643345 | − | 0.997928i | \(-0.520492\pi\) | ||||
−0.0643345 | + | 0.997928i | \(0.520492\pi\) | |||||||
\(384\) | 19.3362 | − | 27.8946i | 0.0503548 | − | 0.0726422i | ||||
\(385\) | −35.2628 | − | 0.739015i | −0.0915918 | − | 0.00191952i | ||||
\(386\) | − | 399.238i | − | 1.03430i | ||||||
\(387\) | 543.337 | − | 203.594i | 1.40397 | − | 0.526081i | ||||
\(388\) | 192.451i | 0.496008i | ||||||||
\(389\) | − | 2.68340i | − | 0.00689821i | −0.999994 | − | 0.00344911i | \(-0.998902\pi\) | ||
0.999994 | − | 0.00344911i | \(-0.00109789\pi\) | |||||||
\(390\) | 95.5462 | + | 69.2398i | 0.244990 | + | 0.177538i | ||||
\(391\) | 289.686 | 0.740884 | ||||||||
\(392\) | −19.7990 | −0.0505076 | ||||||||
\(393\) | −366.049 | − | 253.741i | −0.931423 | − | 0.645652i | ||||
\(394\) | 405.542 | 1.02929 | ||||||||
\(395\) | 289.680 | + | 6.07092i | 0.733367 | + | 0.0153694i | ||||
\(396\) | 44.9403 | − | 16.8396i | 0.113486 | − | 0.0425241i | ||||
\(397\) | 372.015i | 0.937065i | 0.883446 | + | 0.468532i | \(0.155217\pi\) | ||||
−0.883446 | + | 0.468532i | \(0.844783\pi\) | |||||||
\(398\) | −105.943 | −0.266190 | ||||||||
\(399\) | 4.14226 | + | 2.87137i | 0.0103816 | + | 0.00719642i | ||||
\(400\) | 99.9122 | + | 4.18963i | 0.249780 | + | 0.0104741i | ||||
\(401\) | − | 119.122i | − | 0.297062i | −0.988908 | − | 0.148531i | \(-0.952545\pi\) | ||
0.988908 | − | 0.148531i | \(-0.0474545\pi\) | |||||||
\(402\) | 396.062 | + | 274.546i | 0.985230 | + | 0.682950i | ||||
\(403\) | 75.3215i | 0.186902i | ||||||||
\(404\) | − | 183.939i | − | 0.455295i | ||||||
\(405\) | −310.782 | + | 259.691i | −0.767363 | + | 0.641213i | ||||
\(406\) | 162.207 | 0.399525 | ||||||||
\(407\) | −93.3209 | −0.229290 | ||||||||
\(408\) | −89.6840 | + | 129.379i | −0.219814 | + | 0.317105i | ||||
\(409\) | 198.033 | 0.484189 | 0.242095 | − | 0.970253i | \(-0.422166\pi\) | ||||
0.242095 | + | 0.970253i | \(0.422166\pi\) | |||||||
\(410\) | −2.31298 | + | 110.366i | −0.00564141 | + | 0.269186i | ||||
\(411\) | 197.051 | − | 284.268i | 0.479443 | − | 0.691649i | ||||
\(412\) | 61.2086i | 0.148565i | ||||||||
\(413\) | −87.1467 | −0.211009 | ||||||||
\(414\) | 69.7342 | + | 186.102i | 0.168440 | + | 0.449522i | ||||
\(415\) | 225.418 | + | 4.72416i | 0.543177 | + | 0.0113835i | ||||
\(416\) | 31.4658i | 0.0756389i | ||||||||
\(417\) | 162.536 | − | 234.476i | 0.389775 | − | 0.562292i | ||||
\(418\) | 2.39432i | 0.00572803i | ||||||||
\(419\) | − | 229.736i | − | 0.548295i | −0.961688 | − | 0.274148i | \(-0.911604\pi\) | ||
0.961688 | − | 0.274148i | \(-0.0883957\pi\) | |||||||
\(420\) | 64.2708 | + | 46.5754i | 0.153026 | + | 0.110894i | ||||
\(421\) | −590.500 | −1.40261 | −0.701306 | − | 0.712860i | \(-0.747399\pi\) | ||||
−0.701306 | + | 0.712860i | \(0.747399\pi\) | |||||||
\(422\) | −193.387 | −0.458264 | ||||||||
\(423\) | 165.975 | + | 442.944i | 0.392376 | + | 1.04715i | ||||
\(424\) | 145.963 | 0.344252 | ||||||||
\(425\) | −463.406 | − | 19.4320i | −1.09037 | − | 0.0457224i | ||||
\(426\) | −128.575 | − | 89.1271i | −0.301820 | − | 0.209219i | ||||
\(427\) | − | 275.680i | − | 0.645622i | ||||||
\(428\) | −381.290 | −0.890864 | ||||||||
\(429\) | −25.3469 | + | 36.5656i | −0.0590836 | + | 0.0852345i | ||||
\(430\) | −9.55174 | + | 455.771i | −0.0222133 | + | 1.05993i | ||||
\(431\) | 414.879i | 0.962597i | 0.876557 | + | 0.481298i | \(0.159835\pi\) | ||||
−0.876557 | + | 0.481298i | \(0.840165\pi\) | |||||||
\(432\) | −104.706 | − | 26.4710i | −0.242374 | − | 0.0612754i | ||||
\(433\) | 219.764i | 0.507538i | 0.967265 | + | 0.253769i | \(0.0816703\pi\) | ||||
−0.967265 | + | 0.253769i | \(0.918330\pi\) | |||||||
\(434\) | 50.6663i | 0.116743i | ||||||||
\(435\) | −526.552 | − | 381.578i | −1.21046 | − | 0.877192i | ||||
\(436\) | 147.993 | 0.339433 | ||||||||
\(437\) | −9.91510 | −0.0226890 | ||||||||
\(438\) | −505.333 | − | 350.291i | −1.15373 | − | 0.799751i | ||||
\(439\) | −638.375 | −1.45416 | −0.727079 | − | 0.686554i | \(-0.759123\pi\) | ||||
−0.727079 | + | 0.686554i | \(0.759123\pi\) | |||||||
\(440\) | −0.790040 | + | 37.6976i | −0.00179555 | + | 0.0856763i | ||||
\(441\) | 22.1057 | + | 58.9944i | 0.0501264 | + | 0.133774i | ||||
\(442\) | − | 145.942i | − | 0.330186i | ||||||
\(443\) | 299.160 | 0.675305 | 0.337652 | − | 0.941271i | \(-0.390367\pi\) | ||||
0.337652 | + | 0.941271i | \(0.390367\pi\) | |||||||
\(444\) | 172.596 | + | 119.642i | 0.388730 | + | 0.269463i | ||||
\(445\) | 8.48306 | − | 404.778i | 0.0190631 | − | 0.909613i | ||||
\(446\) | 36.5803i | 0.0820185i | ||||||||
\(447\) | −442.179 | − | 306.514i | −0.989216 | − | 0.685713i | ||||
\(448\) | 21.1660i | 0.0472456i | ||||||||
\(449\) | 580.653i | 1.29321i | 0.762823 | + | 0.646607i | \(0.223813\pi\) | ||||
−0.762823 | + | 0.646607i | \(0.776187\pi\) | |||||||
\(450\) | −99.0692 | − | 302.383i | −0.220154 | − | 0.671962i | ||||
\(451\) | −41.6236 | −0.0922918 | ||||||||
\(452\) | 257.723 | 0.570183 | ||||||||
\(453\) | 78.0410 | − | 112.583i | 0.172276 | − | 0.248527i | ||||
\(454\) | −34.4210 | −0.0758172 | ||||||||
\(455\) | −73.5677 | − | 1.54178i | −0.161687 | − | 0.00338853i | ||||
\(456\) | 3.06962 | − | 4.42826i | 0.00673163 | − | 0.00971111i | ||||
\(457\) | 563.314i | 1.23264i | 0.787498 | + | 0.616318i | \(0.211376\pi\) | ||||
−0.787498 | + | 0.616318i | \(0.788624\pi\) | |||||||
\(458\) | −340.850 | −0.744215 | ||||||||
\(459\) | 485.639 | + | 122.776i | 1.05804 | + | 0.267485i | ||||
\(460\) | −156.109 | − | 3.27163i | −0.339368 | − | 0.00711224i | ||||
\(461\) | − | 138.227i | − | 0.299842i | −0.988698 | − | 0.149921i | \(-0.952098\pi\) | ||
0.988698 | − | 0.149921i | \(-0.0479020\pi\) | |||||||
\(462\) | −17.0500 | + | 24.5965i | −0.0369048 | + | 0.0532391i | ||||
\(463\) | − | 154.802i | − | 0.334346i | −0.985928 | − | 0.167173i | \(-0.946536\pi\) | ||
0.985928 | − | 0.167173i | \(-0.0534638\pi\) | |||||||
\(464\) | − | 173.407i | − | 0.373722i | ||||||
\(465\) | 119.188 | − | 164.471i | 0.256318 | − | 0.353702i | ||||
\(466\) | −35.2963 | −0.0757431 | ||||||||
\(467\) | 462.873 | 0.991162 | 0.495581 | − | 0.868562i | \(-0.334955\pi\) | ||||
0.495581 | + | 0.868562i | \(0.334955\pi\) | |||||||
\(468\) | 93.7575 | − | 35.1318i | 0.200337 | − | 0.0750680i | ||||
\(469\) | −300.526 | −0.640781 | ||||||||
\(470\) | −371.557 | − | 7.78684i | −0.790547 | − | 0.0165678i | ||||
\(471\) | −552.229 | − | 382.799i | −1.17246 | − | 0.812737i | ||||
\(472\) | 93.1637i | 0.197381i | ||||||||
\(473\) | −171.890 | −0.363404 | ||||||||
\(474\) | 140.064 | − | 202.057i | 0.295493 | − | 0.426281i | ||||
\(475\) | 15.8610 | + | 0.665102i | 0.0333917 | + | 0.00140022i | ||||
\(476\) | − | 98.1707i | − | 0.206241i | ||||||
\(477\) | −162.969 | − | 434.920i | −0.341653 | − | 0.911782i | ||||
\(478\) | 340.515i | 0.712374i | ||||||||
\(479\) | 836.942i | 1.74727i | 0.486582 | + | 0.873635i | \(0.338243\pi\) | ||||
−0.486582 | + | 0.873635i | \(0.661757\pi\) | |||||||
\(480\) | 49.7912 | − | 68.7084i | 0.103732 | − | 0.143142i | ||||
\(481\) | −194.692 | −0.404766 | ||||||||
\(482\) | −208.429 | −0.432426 | ||||||||
\(483\) | −101.856 | − | 70.6058i | −0.210883 | − | 0.146182i | ||||
\(484\) | 227.783 | 0.470625 | ||||||||
\(485\) | −10.0809 | + | 481.022i | −0.0207854 | + | 0.991798i | ||||
\(486\) | 38.0302 | + | 341.543i | 0.0782515 | + | 0.702764i | ||||
\(487\) | − | 212.042i | − | 0.435405i | −0.976015 | − | 0.217703i | \(-0.930144\pi\) | ||
0.976015 | − | 0.217703i | \(-0.0698563\pi\) | |||||||
\(488\) | −294.715 | −0.603924 | ||||||||
\(489\) | −740.431 | − | 513.258i | −1.51417 | − | 1.04961i | ||||
\(490\) | −49.4866 | − | 1.03711i | −0.100993 | − | 0.00211655i | ||||
\(491\) | 79.1998i | 0.161303i | 0.996742 | + | 0.0806516i | \(0.0257001\pi\) | ||||
−0.996742 | + | 0.0806516i | \(0.974300\pi\) | |||||||
\(492\) | 76.9824 | + | 53.3634i | 0.156468 | + | 0.108462i | ||||
\(493\) | 804.284i | 1.63141i | ||||||||
\(494\) | 4.99519i | 0.0101117i | ||||||||
\(495\) | 113.208 | − | 39.7356i | 0.228703 | − | 0.0802739i | ||||
\(496\) | 54.1646 | 0.109203 | ||||||||
\(497\) | 97.5611 | 0.196300 | ||||||||
\(498\) | 108.992 | − | 157.233i | 0.218860 | − | 0.315730i | ||||
\(499\) | −259.432 | −0.519905 | −0.259952 | − | 0.965621i | \(-0.583707\pi\) | ||||
−0.259952 | + | 0.965621i | \(0.583707\pi\) | |||||||
\(500\) | 249.506 | + | 15.7053i | 0.499012 | + | 0.0314107i | ||||
\(501\) | −214.395 | + | 309.288i | −0.427934 | + | 0.617341i | ||||
\(502\) | 548.044i | 1.09172i | ||||||||
\(503\) | 175.890 | 0.349683 | 0.174841 | − | 0.984597i | \(-0.444059\pi\) | ||||
0.174841 | + | 0.984597i | \(0.444059\pi\) | |||||||
\(504\) | 63.0676 | − | 23.6320i | 0.125134 | − | 0.0468890i | ||||
\(505\) | 9.63507 | − | 459.747i | 0.0190793 | − | 0.910390i | ||||
\(506\) | − | 58.8752i | − | 0.116354i | ||||||
\(507\) | 235.957 | − | 340.394i | 0.465399 | − | 0.671388i | ||||
\(508\) | 191.607i | 0.377179i | ||||||||
\(509\) | − | 577.094i | − | 1.13378i | −0.823794 | − | 0.566890i | \(-0.808147\pi\) | ||
0.823794 | − | 0.566890i | \(-0.191853\pi\) | |||||||
\(510\) | −230.938 | + | 318.678i | −0.452819 | + | 0.624859i | ||||
\(511\) | 383.439 | 0.750369 | ||||||||
\(512\) | 22.6274 | 0.0441942 | ||||||||
\(513\) | −16.6220 | − | 4.20226i | −0.0324016 | − | 0.00819154i | ||||
\(514\) | 15.9134 | 0.0309599 | ||||||||
\(515\) | −3.20622 | + | 152.988i | −0.00622566 | + | 0.297064i | ||||
\(516\) | 317.909 | + | 220.371i | 0.616102 | + | 0.427075i | ||||
\(517\) | − | 140.129i | − | 0.271043i | ||||||
\(518\) | −130.963 | −0.252825 | ||||||||
\(519\) | −334.360 | + | 482.350i | −0.644238 | + | 0.929383i | ||||
\(520\) | −1.64824 | + | 78.6472i | −0.00316968 | + | 0.151245i | ||||
\(521\) | 198.309i | 0.380631i | 0.981723 | + | 0.190316i | \(0.0609512\pi\) | ||||
−0.981723 | + | 0.190316i | \(0.939049\pi\) | |||||||
\(522\) | −516.695 | + | 193.610i | −0.989837 | + | 0.370901i | ||||
\(523\) | − | 307.722i | − | 0.588378i | −0.955747 | − | 0.294189i | \(-0.904951\pi\) | ||
0.955747 | − | 0.294189i | \(-0.0950495\pi\) | |||||||
\(524\) | − | 296.930i | − | 0.566660i | ||||||
\(525\) | 158.202 | + | 119.779i | 0.301337 | + | 0.228151i | ||||
\(526\) | −436.509 | −0.829864 | ||||||||
\(527\) | −251.222 | −0.476703 | ||||||||
\(528\) | 26.2947 | + | 18.2272i | 0.0498007 | + | 0.0345213i | ||||
\(529\) | −285.192 | −0.539115 | ||||||||
\(530\) | 364.827 | + | 7.64579i | 0.688352 | + | 0.0144260i | ||||
\(531\) | 277.597 | − | 104.018i | 0.522781 | − | 0.195891i | ||||
\(532\) | 3.36010i | 0.00631598i | ||||||||
\(533\) | −86.8380 | −0.162923 | ||||||||
\(534\) | −282.340 | − | 195.715i | −0.528726 | − | 0.366507i | ||||
\(535\) | −953.015 | − | 19.9727i | −1.78134 | − | 0.0373321i | ||||
\(536\) | 321.276i | 0.599395i | ||||||||
\(537\) | 404.623 | + | 280.480i | 0.753487 | + | 0.522309i | ||||
\(538\) | 281.324i | 0.522907i | ||||||||
\(539\) | − | 18.6634i | − | 0.0346260i | ||||||
\(540\) | −260.320 | − | 71.6476i | −0.482075 | − | 0.132681i | ||||
\(541\) | 229.692 | 0.424569 | 0.212284 | − | 0.977208i | \(-0.431910\pi\) | ||||
0.212284 | + | 0.977208i | \(0.431910\pi\) | |||||||
\(542\) | −249.384 | −0.460118 | ||||||||
\(543\) | 193.177 | − | 278.679i | 0.355759 | − | 0.513221i | ||||
\(544\) | −104.949 | −0.192921 | ||||||||
\(545\) | 369.901 | + | 7.75214i | 0.678718 | + | 0.0142241i | ||||
\(546\) | −35.5709 | + | 51.3148i | −0.0651482 | + | 0.0939832i | ||||
\(547\) | 296.031i | 0.541191i | 0.962693 | + | 0.270596i | \(0.0872206\pi\) | ||||
−0.962693 | + | 0.270596i | \(0.912779\pi\) | |||||||
\(548\) | 230.591 | 0.420786 | ||||||||
\(549\) | 329.052 | + | 878.151i | 0.599365 | + | 1.59955i | ||||
\(550\) | −3.94933 | + | 94.1818i | −0.00718061 | + | 0.171240i | ||||
\(551\) | − | 27.5283i | − | 0.0499606i | ||||||
\(552\) | −75.4807 | + | 108.889i | −0.136740 | + | 0.197263i | ||||
\(553\) | 153.318i | 0.277247i | ||||||||
\(554\) | 612.487i | 1.10557i | ||||||||
\(555\) | 425.128 | + | 308.079i | 0.765997 | + | 0.555098i | ||||
\(556\) | 190.201 | 0.342088 | ||||||||
\(557\) | −659.047 | −1.18321 | −0.591604 | − | 0.806228i | \(-0.701505\pi\) | ||||
−0.591604 | + | 0.806228i | \(0.701505\pi\) | |||||||
\(558\) | −60.4752 | − | 161.392i | −0.108379 | − | 0.289234i | ||||
\(559\) | −358.608 | −0.641518 | ||||||||
\(560\) | −1.10871 | + | 52.9034i | −0.00197985 | + | 0.0944704i | ||||
\(561\) | −121.958 | − | 84.5403i | −0.217395 | − | 0.150696i | ||||
\(562\) | − | 397.584i | − | 0.707444i | ||||||
\(563\) | 1041.64 | 1.85016 | 0.925079 | − | 0.379774i | \(-0.123998\pi\) | ||||
0.925079 | + | 0.379774i | \(0.123998\pi\) | |||||||
\(564\) | −179.652 | + | 259.168i | −0.318533 | + | 0.459518i | ||||
\(565\) | 644.166 | + | 13.5000i | 1.14012 | + | 0.0238938i | ||||
\(566\) | 160.930i | 0.284328i | ||||||||
\(567\) | −140.831 | − | 161.535i | −0.248379 | − | 0.284894i | ||||
\(568\) | − | 104.297i | − | 0.183622i | ||||||
\(569\) | − | 143.782i | − | 0.252692i | −0.991986 | − | 0.126346i | \(-0.959675\pi\) | ||
0.991986 | − | 0.126346i | \(-0.0403250\pi\) | |||||||
\(570\) | 7.90434 | − | 10.9074i | 0.0138673 | − | 0.0191359i | ||||
\(571\) | 198.901 | 0.348337 | 0.174169 | − | 0.984716i | \(-0.444276\pi\) | ||||
0.174169 | + | 0.984716i | \(0.444276\pi\) | |||||||
\(572\) | −29.6611 | −0.0518551 | ||||||||
\(573\) | −484.232 | − | 335.664i | −0.845082 | − | 0.585801i | ||||
\(574\) | −58.4131 | −0.101765 | ||||||||
\(575\) | −390.016 | − | 16.3546i | −0.678289 | − | 0.0284427i | ||||
\(576\) | −25.2637 | − | 67.4221i | −0.0438606 | − | 0.117052i | ||||
\(577\) | 55.7825i | 0.0966767i | 0.998831 | + | 0.0483384i | \(0.0153926\pi\) | ||||
−0.998831 | + | 0.0483384i | \(0.984607\pi\) | |||||||
\(578\) | 78.0588 | 0.135050 | ||||||||
\(579\) | −696.037 | − | 482.486i | −1.20214 | − | 0.833308i | ||||
\(580\) | 9.08337 | − | 433.422i | 0.0156610 | − | 0.747280i | ||||
\(581\) | 119.306i | 0.205347i | ||||||||
\(582\) | 335.522 | + | 232.580i | 0.576498 | + | 0.399622i | ||||
\(583\) | 137.591i | 0.236005i | ||||||||
\(584\) | − | 409.913i | − | 0.701906i | ||||||
\(585\) | 236.183 | − | 82.8991i | 0.403731 | − | 0.141708i | ||||
\(586\) | −502.512 | −0.857529 | ||||||||
\(587\) | 679.045 | 1.15681 | 0.578403 | − | 0.815751i | \(-0.303676\pi\) | ||||
0.578403 | + | 0.815751i | \(0.303676\pi\) | |||||||
\(588\) | −23.9274 | + | 34.5178i | −0.0406928 | + | 0.0587038i | ||||
\(589\) | 8.59862 | 0.0145987 | ||||||||
\(590\) | −4.88009 | + | 232.858i | −0.00827133 | + | 0.394675i | ||||
\(591\) | 490.104 | − | 707.027i | 0.829278 | − | 1.19632i | ||||
\(592\) | 140.006i | 0.236496i | ||||||||
\(593\) | 794.933 | 1.34053 | 0.670264 | − | 0.742123i | \(-0.266181\pi\) | ||||
0.670264 | + | 0.742123i | \(0.266181\pi\) | |||||||
\(594\) | 24.9527 | − | 98.7004i | 0.0420080 | − | 0.166162i | ||||
\(595\) | 5.14236 | − | 245.373i | 0.00864262 | − | 0.412391i | ||||
\(596\) | − | 358.685i | − | 0.601820i | ||||||
\(597\) | −128.034 | + | 184.703i | −0.214463 | + | 0.309386i | ||||
\(598\) | − | 122.829i | − | 0.205400i | ||||||
\(599\) | 525.925i | 0.878004i | 0.898486 | + | 0.439002i | \(0.144668\pi\) | ||||
−0.898486 | + | 0.439002i | \(0.855332\pi\) | |||||||
\(600\) | 128.050 | − | 169.125i | 0.213416 | − | 0.281875i | ||||
\(601\) | 169.552 | 0.282116 | 0.141058 | − | 0.990001i | \(-0.454950\pi\) | ||||
0.141058 | + | 0.990001i | \(0.454950\pi\) | |||||||
\(602\) | −241.224 | −0.400705 | ||||||||
\(603\) | 957.295 | − | 358.707i | 1.58755 | − | 0.594871i | ||||
\(604\) | 91.3242 | 0.151199 | ||||||||
\(605\) | 569.332 | + | 11.9317i | 0.941044 | + | 0.0197218i | ||||
\(606\) | −320.682 | − | 222.293i | −0.529178 | − | 0.366821i | ||||
\(607\) | 29.1399i | 0.0480064i | 0.999712 | + | 0.0240032i | \(0.00764119\pi\) | ||||
−0.999712 | + | 0.0240032i | \(0.992359\pi\) | |||||||
\(608\) | 3.59210 | 0.00590806 | ||||||||
\(609\) | 196.030 | − | 282.794i | 0.321888 | − | 0.464359i | ||||
\(610\) | −736.625 | − | 15.4377i | −1.20758 | − | 0.0253077i | ||||
\(611\) | − | 292.348i | − | 0.478474i | ||||||
\(612\) | 117.176 | + | 312.713i | 0.191465 | + | 0.510968i | ||||
\(613\) | 167.118i | 0.272623i | 0.990666 | + | 0.136311i | \(0.0435247\pi\) | ||||
−0.990666 | + | 0.136311i | \(0.956475\pi\) | |||||||
\(614\) | − | 572.035i | − | 0.931653i | ||||||
\(615\) | 189.618 | + | 137.412i | 0.308323 | + | 0.223433i | ||||
\(616\) | −19.9521 | −0.0323897 | ||||||||
\(617\) | −872.471 | −1.41405 | −0.707027 | − | 0.707187i | \(-0.749964\pi\) | ||||
−0.707027 | + | 0.707187i | \(0.749964\pi\) | |||||||
\(618\) | 106.712 | + | 73.9715i | 0.172673 | + | 0.119695i | ||||
\(619\) | −852.170 | −1.37669 | −0.688344 | − | 0.725384i | \(-0.741662\pi\) | ||||
−0.688344 | + | 0.725384i | \(0.741662\pi\) | |||||||
\(620\) | 135.382 | + | 2.83724i | 0.218358 | + | 0.00457619i | ||||
\(621\) | 408.728 | + | 103.332i | 0.658177 | + | 0.166396i | ||||
\(622\) | − | 750.000i | − | 1.20579i | ||||||
\(623\) | 214.235 | 0.343877 | ||||||||
\(624\) | 54.8579 | + | 38.0269i | 0.0879133 | + | 0.0609405i | ||||
\(625\) | 622.806 | + | 52.3243i | 0.996489 | + | 0.0837189i | ||||
\(626\) | 793.616i | 1.26776i | ||||||||
\(627\) | 4.17429 | + | 2.89357i | 0.00665755 | + | 0.00461494i | ||||
\(628\) | − | 447.954i | − | 0.713303i | ||||||
\(629\) | − | 649.364i | − | 1.03238i | ||||||
\(630\) | 158.872 | − | 55.7635i | 0.252178 | − | 0.0885135i | ||||
\(631\) | 550.448 | 0.872343 | 0.436171 | − | 0.899864i | \(-0.356334\pi\) | ||||
0.436171 | + | 0.899864i | \(0.356334\pi\) | |||||||
\(632\) | 163.904 | 0.259341 | ||||||||
\(633\) | −233.712 | + | 337.154i | −0.369213 | + | 0.532629i | ||||
\(634\) | 374.144 | 0.590133 | ||||||||
\(635\) | −10.0367 | + | 478.912i | −0.0158059 | + | 0.754193i | ||||
\(636\) | 176.398 | − | 254.473i | 0.277356 | − | 0.400115i | ||||
\(637\) | − | 38.9369i | − | 0.0611255i | ||||||
\(638\) | 163.461 | 0.256209 | ||||||||
\(639\) | −310.771 | + | 116.449i | −0.486339 | + | 0.182236i | ||||
\(640\) | 56.5561 | + | 1.18527i | 0.0883689 | + | 0.00185198i | ||||
\(641\) | − | 56.3780i | − | 0.0879532i | −0.999033 | − | 0.0439766i | \(-0.985997\pi\) | ||
0.999033 | − | 0.0439766i | \(-0.0140027\pi\) | |||||||
\(642\) | −460.795 | + | 664.746i | −0.717749 | + | 1.03543i | ||||
\(643\) | − | 934.856i | − | 1.45390i | −0.686692 | − | 0.726948i | \(-0.740938\pi\) | ||
0.686692 | − | 0.726948i | \(-0.259062\pi\) | |||||||
\(644\) | − | 82.6234i | − | 0.128297i | ||||||
\(645\) | 783.054 | + | 567.459i | 1.21404 | + | 0.879781i | ||||
\(646\) | −16.6606 | −0.0257904 | ||||||||
\(647\) | −523.120 | −0.808532 | −0.404266 | − | 0.914641i | \(-0.632473\pi\) | ||||
−0.404266 | + | 0.914641i | \(0.632473\pi\) | |||||||
\(648\) | −172.688 | + | 150.555i | −0.266494 | + | 0.232338i | ||||
\(649\) | −87.8204 | −0.135316 | ||||||||
\(650\) | −8.23937 | + | 196.488i | −0.0126759 | + | 0.302290i | ||||
\(651\) | 88.3324 | + | 61.2310i | 0.135687 | + | 0.0940569i | ||||
\(652\) | − | 600.619i | − | 0.921195i | ||||||
\(653\) | −629.201 | −0.963554 | −0.481777 | − | 0.876294i | \(-0.660008\pi\) | ||||
−0.481777 | + | 0.876294i | \(0.660008\pi\) | |||||||
\(654\) | 178.852 | − | 258.013i | 0.273474 | − | 0.394515i | ||||
\(655\) | 15.5537 | − | 742.162i | 0.0237461 | − | 1.13307i | ||||
\(656\) | 62.4462i | 0.0951924i | ||||||||
\(657\) | −1221.40 | + | 457.672i | −1.85906 | + | 0.696608i | ||||
\(658\) | − | 196.653i | − | 0.298864i | ||||||
\(659\) | 1205.86i | 1.82983i | 0.403644 | + | 0.914916i | \(0.367743\pi\) | ||||
−0.403644 | + | 0.914916i | \(0.632257\pi\) | |||||||
\(660\) | 64.7677 | + | 46.9354i | 0.0981328 | + | 0.0711143i | ||||
\(661\) | 421.451 | 0.637596 | 0.318798 | − | 0.947823i | \(-0.396721\pi\) | ||||
0.318798 | + | 0.947823i | \(0.396721\pi\) | |||||||
\(662\) | 764.292 | 1.15452 | ||||||||
\(663\) | −254.438 | − | 176.374i | −0.383768 | − | 0.266024i | ||||
\(664\) | 127.544 | 0.192084 | ||||||||
\(665\) | −0.176008 | + | 8.39840i | −0.000264674 | + | 0.0126292i | ||||
\(666\) | 417.170 | − | 156.317i | 0.626381 | − | 0.234711i | ||||
\(667\) | 676.909i | 1.01486i | ||||||||
\(668\) | −250.887 | −0.375579 | ||||||||
\(669\) | 63.7745 | + | 44.2078i | 0.0953281 | + | 0.0660804i | ||||
\(670\) | −16.8290 | + | 803.013i | −0.0251179 | + | 1.19853i | ||||
\(671\) | − | 277.812i | − | 0.414026i | ||||||
\(672\) | 36.9011 | + | 25.5794i | 0.0549124 | + | 0.0380647i | ||||
\(673\) | − | 208.482i | − | 0.309779i | −0.987932 | − | 0.154890i | \(-0.950498\pi\) | ||
0.987932 | − | 0.154890i | \(-0.0495022\pi\) | |||||||
\(674\) | − | 628.368i | − | 0.932297i | ||||||
\(675\) | −646.905 | − | 192.716i | −0.958377 | − | 0.285505i | ||||
\(676\) | 276.119 | 0.408460 | ||||||||
\(677\) | −1253.11 | −1.85097 | −0.925485 | − | 0.378784i | \(-0.876342\pi\) | ||||
−0.925485 | + | 0.378784i | \(0.876342\pi\) | |||||||
\(678\) | 311.462 | − | 449.317i | 0.459383 | − | 0.662710i | ||||
\(679\) | −254.589 | −0.374947 | ||||||||
\(680\) | −262.315 | − | 5.49741i | −0.385757 | − | 0.00808443i | ||||
\(681\) | −41.5983 | + | 60.0101i | −0.0610842 | + | 0.0881205i | ||||
\(682\) | 51.0580i | 0.0748651i | ||||||||
\(683\) | −982.114 | −1.43794 | −0.718971 | − | 0.695041i | \(-0.755386\pi\) | ||||
−0.718971 | + | 0.695041i | \(0.755386\pi\) | |||||||
\(684\) | −4.01061 | − | 10.7033i | −0.00586346 | − | 0.0156480i | ||||
\(685\) | 576.350 | + | 12.0788i | 0.841388 | + | 0.0176332i | ||||
\(686\) | − | 26.1916i | − | 0.0381802i | ||||||
\(687\) | −411.923 | + | 594.243i | −0.599597 | + | 0.864983i | ||||
\(688\) | 257.880i | 0.374825i | ||||||||
\(689\) | 287.052i | 0.416621i | ||||||||
\(690\) | −194.364 | + | 268.209i | −0.281687 | + | 0.388709i | ||||
\(691\) | 204.605 | 0.296099 | 0.148050 | − | 0.988980i | \(-0.452700\pi\) | ||||
0.148050 | + | 0.988980i | \(0.452700\pi\) | |||||||
\(692\) | −391.270 | −0.565419 | ||||||||
\(693\) | 22.2766 | + | 59.4504i | 0.0321452 | + | 0.0857871i | ||||
\(694\) | 359.148 | 0.517504 | ||||||||
\(695\) | 475.398 | + | 9.96307i | 0.684026 | + | 0.0143354i | ||||
\(696\) | −302.320 | − | 209.565i | −0.434368 | − | 0.301099i | ||||
\(697\) | − | 289.634i | − | 0.415543i | ||||||
\(698\) | 587.785 | 0.842099 | ||||||||
\(699\) | −42.6561 | + | 61.5360i | −0.0610244 | + | 0.0880343i | ||||
\(700\) | −5.54235 | + | 132.171i | −0.00791765 | + | 0.188816i | ||||
\(701\) | − | 330.503i | − | 0.471473i | −0.971817 | − | 0.235736i | \(-0.924250\pi\) | ||
0.971817 | − | 0.235736i | \(-0.0757502\pi\) | |||||||
\(702\) | 52.0581 | − | 205.915i | 0.0741568 | − | 0.293327i | ||||
\(703\) | 22.2259i | 0.0316157i | ||||||||
\(704\) | 21.3296i | 0.0302978i | ||||||||
\(705\) | −462.608 | + | 638.367i | −0.656182 | + | 0.905485i | ||||
\(706\) | 393.210 | 0.556954 | ||||||||
\(707\) | 243.329 | 0.344171 | ||||||||
\(708\) | 162.423 | + | 112.590i | 0.229411 | + | 0.159025i | ||||
\(709\) | 265.328 | 0.374229 | 0.187114 | − | 0.982338i | \(-0.440086\pi\) | ||||
0.187114 | + | 0.982338i | \(0.440086\pi\) | |||||||
\(710\) | 5.46328 | − | 260.686i | 0.00769476 | − | 0.367163i | ||||
\(711\) | −183.000 | − | 488.378i | −0.257384 | − | 0.686889i | ||||
\(712\) | − | 229.027i | − | 0.321667i | ||||||
\(713\) | −211.436 | −0.296544 | ||||||||
\(714\) | −171.152 | − | 118.641i | −0.239709 | − | 0.166164i | ||||
\(715\) | −74.1364 | − | 1.55370i | −0.103687 | − | 0.00217301i | ||||
\(716\) | 328.220i | 0.458408i | ||||||||
\(717\) | 593.658 | + | 411.517i | 0.827975 | + | 0.573943i | ||||
\(718\) | 115.421i | 0.160754i | ||||||||
\(719\) | − | 994.084i | − | 1.38259i | −0.722572 | − | 0.691296i | \(-0.757040\pi\) | ||
0.722572 | − | 0.691296i | \(-0.242960\pi\) | |||||||
\(720\) | −59.6137 | − | 169.842i | −0.0827968 | − | 0.235891i | ||||
\(721\) | −80.9713 | −0.112304 | ||||||||
\(722\) | −509.961 | −0.706317 | ||||||||
\(723\) | −251.890 | + | 363.379i | −0.348396 | + | 0.502598i | ||||
\(724\) | 226.057 | 0.312234 | ||||||||
\(725\) | 45.4069 | − | 1082.84i | 0.0626302 | − | 1.49357i | ||||
\(726\) | 275.279 | − | 397.119i | 0.379172 | − | 0.546996i | ||||
\(727\) | 1244.89i | 1.71236i | 0.516674 | + | 0.856182i | \(0.327170\pi\) | ||||
−0.516674 | + | 0.856182i | \(0.672830\pi\) | |||||||
\(728\) | −41.6253 | −0.0571776 | ||||||||
\(729\) | 641.411 | + | 346.458i | 0.879851 | + | 0.475251i | ||||
\(730\) | 21.4720 | − | 1024.56i | 0.0294137 | − | 1.40350i | ||||
\(731\) | − | 1196.08i | − | 1.63622i | ||||||
\(732\) | −356.167 | + | 513.810i | −0.486567 | + | 0.701926i | ||||
\(733\) | − | 822.707i | − | 1.12238i | −0.827686 | − | 0.561192i | \(-0.810343\pi\) | ||
0.827686 | − | 0.561192i | \(-0.189657\pi\) | |||||||
\(734\) | 727.614i | 0.991300i | ||||||||
\(735\) | −61.6134 | + | 85.0223i | −0.0838278 | + | 0.115677i | ||||
\(736\) | −88.3281 | −0.120011 | ||||||||
\(737\) | −302.849 | −0.410922 | ||||||||
\(738\) | 186.069 | − | 69.7217i | 0.252126 | − | 0.0944739i | ||||
\(739\) | −550.154 | −0.744458 | −0.372229 | − | 0.928141i | \(-0.621406\pi\) | ||||
−0.372229 | + | 0.928141i | \(0.621406\pi\) | |||||||
\(740\) | −7.33375 | + | 349.937i | −0.00991047 | + | 0.472888i | ||||
\(741\) | 8.70868 | + | 6.03676i | 0.0117526 | + | 0.00814677i | ||||
\(742\) | 193.091i | 0.260230i | ||||||||
\(743\) | −356.858 | −0.480293 | −0.240147 | − | 0.970737i | \(-0.577195\pi\) | ||||
−0.240147 | + | 0.970737i | \(0.577195\pi\) | |||||||
\(744\) | 65.4587 | − | 94.4313i | 0.0879821 | − | 0.126924i | ||||
\(745\) | 18.7886 | − | 896.515i | 0.0252196 | − | 1.20338i | ||||
\(746\) | − | 113.329i | − | 0.151916i | ||||||
\(747\) | −142.404 | − | 380.038i | −0.190634 | − | 0.508752i | ||||
\(748\) | − | 98.9296i | − | 0.132259i | ||||||
\(749\) | − | 504.399i | − | 0.673430i | ||||||
\(750\) | 328.913 | − | 416.012i | 0.438551 | − | 0.554683i | ||||
\(751\) | 1027.14 | 1.36770 | 0.683850 | − | 0.729623i | \(-0.260304\pi\) | ||||
0.683850 | + | 0.729623i | \(0.260304\pi\) | |||||||
\(752\) | −210.231 | −0.279562 | ||||||||
\(753\) | 955.467 | + | 662.319i | 1.26888 | + | 0.879574i | ||||
\(754\) | 341.024 | 0.452287 | ||||||||
\(755\) | 228.260 | + | 4.78373i | 0.302332 | + | 0.00633606i | ||||
\(756\) | 35.0178 | − | 138.513i | 0.0463198 | − | 0.183218i | ||||
\(757\) | 799.336i | 1.05593i | 0.849267 | + | 0.527963i | \(0.177044\pi\) | ||||
−0.849267 | + | 0.527963i | \(0.822956\pi\) | |||||||
\(758\) | 999.675 | 1.31883 | ||||||||
\(759\) | −102.644 | − | 71.1516i | −0.135236 | − | 0.0937439i | ||||
\(760\) | 8.97827 | + | 0.188161i | 0.0118135 | + | 0.000247580i | ||||
\(761\) | 799.993i | 1.05124i | 0.850720 | + | 0.525619i | \(0.176166\pi\) | ||||
−0.850720 | + | 0.525619i | \(0.823834\pi\) | |||||||
\(762\) | 334.050 | + | 231.560i | 0.438386 | + | 0.303884i | ||||
\(763\) | 195.776i | 0.256588i | ||||||||
\(764\) | − | 392.797i | − | 0.514132i | ||||||
\(765\) | 276.496 | + | 787.748i | 0.361433 | + | 1.02974i | ||||
\(766\) | −69.6927 | −0.0909827 | ||||||||
\(767\) | −183.217 | −0.238875 | ||||||||
\(768\) | 27.3456 | − | 39.4489i | 0.0356062 | − | 0.0513658i | ||||
\(769\) | −1066.44 | −1.38679 | −0.693393 | − | 0.720560i | \(-0.743885\pi\) | ||||
−0.693393 | + | 0.720560i | \(0.743885\pi\) | |||||||
\(770\) | −49.8692 | − | 1.04512i | −0.0647652 | − | 0.00135730i | ||||
\(771\) | 19.2315 | − | 27.7436i | 0.0249436 | − | 0.0359839i | ||||
\(772\) | − | 564.608i | − | 0.731358i | ||||||
\(773\) | 10.9234 | 0.0141311 | 0.00706557 | − | 0.999975i | \(-0.497751\pi\) | ||||
0.00706557 | + | 0.999975i | \(0.497751\pi\) | |||||||
\(774\) | 768.395 | − | 287.925i | 0.992758 | − | 0.371996i | ||||
\(775\) | 338.231 | + | 14.1831i | 0.436428 | + | 0.0183008i | ||||
\(776\) | 272.167i | 0.350731i | ||||||||
\(777\) | −158.271 | + | 228.323i | −0.203695 | + | 0.293852i | ||||
\(778\) | − | 3.79491i | − | 0.00487777i | ||||||
\(779\) | 9.91332i | 0.0127257i | ||||||||
\(780\) | 135.123 | + | 97.9199i | 0.173234 | + | 0.125538i | ||||
\(781\) | 98.3153 | 0.125884 | ||||||||
\(782\) | 409.677 | 0.523884 | ||||||||
\(783\) | −286.891 | + | 1134.79i | −0.366399 | + | 1.44929i | ||||
\(784\) | −28.0000 | −0.0357143 | ||||||||
\(785\) | 23.4647 | − | 1119.64i | 0.0298913 | − | 1.42629i | ||||
\(786\) | −517.672 | − | 358.844i | −0.658615 | − | 0.456545i | ||||
\(787\) | − | 741.962i | − | 0.942772i | −0.881927 | − | 0.471386i | \(-0.843754\pi\) | ||
0.881927 | − | 0.471386i | \(-0.156246\pi\) | |||||||
\(788\) | 573.523 | 0.727821 | ||||||||
\(789\) | −527.527 | + | 761.015i | −0.668602 | + | 0.964531i | ||||
\(790\) | 409.669 | + | 8.58557i | 0.518569 | + | 0.0108678i | ||||
\(791\) | 340.935i | 0.431018i | ||||||||
\(792\) | 63.5552 | − | 23.8147i | 0.0802465 | − | 0.0300691i | ||||
\(793\) | − | 579.589i | − | 0.730882i | ||||||
\(794\) | 526.108i | 0.662605i | ||||||||
\(795\) | 454.228 | − | 626.804i | 0.571357 | − | 0.788433i | ||||
\(796\) | −149.827 | −0.188224 | ||||||||
\(797\) | 805.498 | 1.01066 | 0.505331 | − | 0.862925i | \(-0.331370\pi\) | ||||
0.505331 | + | 0.862925i | \(0.331370\pi\) | |||||||
\(798\) | 5.85804 | + | 4.06073i | 0.00734091 | + | 0.00508864i | ||||
\(799\) | 975.077 | 1.22037 | ||||||||
\(800\) | 141.297 | + | 5.92503i | 0.176621 | + | 0.00740628i | ||||
\(801\) | −682.424 | + | 255.711i | −0.851965 | + | 0.319239i | ||||
\(802\) | − | 168.464i | − | 0.210055i | ||||||
\(803\) | 386.403 | 0.481199 | ||||||||
\(804\) | 560.117 | + | 388.267i | 0.696663 | + | 0.482919i | ||||
\(805\) | 4.32796 | − | 206.513i | 0.00537635 | − | 0.256538i | ||||
\(806\) | 106.521i | 0.132160i | ||||||||
\(807\) | 490.464 | + | 339.985i | 0.607762 | + | 0.421294i | ||||
\(808\) | − | 260.129i | − | 0.321942i | ||||||
\(809\) | − | 968.340i | − | 1.19696i | −0.801138 | − | 0.598480i | \(-0.795772\pi\) | ||
0.801138 | − | 0.598480i | \(-0.204228\pi\) | |||||||
\(810\) | −439.512 | + | 367.259i | −0.542608 | + | 0.453406i | ||||
\(811\) | −542.257 | −0.668627 | −0.334314 | − | 0.942462i | \(-0.608504\pi\) | ||||
−0.334314 | + | 0.942462i | \(0.608504\pi\) | |||||||
\(812\) | 229.396 | 0.282507 | ||||||||
\(813\) | −301.385 | + | 434.780i | −0.370707 | + | 0.534784i | ||||
\(814\) | −131.976 | −0.162132 | ||||||||
\(815\) | 31.4615 | − | 1501.22i | 0.0386031 | − | 1.84198i | ||||
\(816\) | −126.832 | + | 182.969i | −0.155432 | + | 0.224227i | ||||
\(817\) | 40.9383i | 0.0501081i | ||||||||
\(818\) | 280.062 | 0.342374 | ||||||||
\(819\) | 46.4750 | + | 124.030i | 0.0567461 | + | 0.151440i | ||||
\(820\) | −3.27105 | + | 156.081i | −0.00398908 | + | 0.190343i | ||||
\(821\) | 1034.06i | 1.25951i | 0.776793 | + | 0.629756i | \(0.216845\pi\) | ||||
−0.776793 | + | 0.629756i | \(0.783155\pi\) | |||||||
\(822\) | 278.673 | − | 402.015i | 0.339018 | − | 0.489070i | ||||
\(823\) | 352.261i | 0.428021i | 0.976831 | + | 0.214010i | \(0.0686527\pi\) | ||||
−0.976831 | + | 0.214010i | \(0.931347\pi\) | |||||||
\(824\) | 86.5620i | 0.105051i | ||||||||
\(825\) | 159.425 | + | 120.705i | 0.193242 | + | 0.146310i | ||||
\(826\) | −123.244 | −0.149206 | ||||||||
\(827\) | 1125.16 | 1.36054 | 0.680268 | − | 0.732964i | \(-0.261864\pi\) | ||||
0.680268 | + | 0.732964i | \(0.261864\pi\) | |||||||
\(828\) | 98.6191 | + | 263.188i | 0.119105 | + | 0.317860i | ||||
\(829\) | 1107.76 | 1.33626 | 0.668128 | − | 0.744046i | \(-0.267096\pi\) | ||||
0.668128 | + | 0.744046i | \(0.267096\pi\) | |||||||
\(830\) | 318.790 | + | 6.68098i | 0.384084 | + | 0.00804937i | ||||
\(831\) | 1067.82 | + | 740.200i | 1.28498 | + | 0.890733i | ||||
\(832\) | 44.4993i | 0.0534848i | ||||||||
\(833\) | 129.868 | 0.155904 | ||||||||
\(834\) | 229.861 | − | 331.599i | 0.275612 | − | 0.397601i | ||||
\(835\) | −627.079 | − | 13.1419i | −0.750993 | − | 0.0157388i | ||||
\(836\) | 3.38608i | 0.00405033i | ||||||||
\(837\) | −354.459 | − | 89.6118i | −0.423487 | − | 0.107063i | ||||
\(838\) | − | 324.895i | − | 0.387703i | ||||||
\(839\) | 13.3680i | 0.0159333i | 0.999968 | + | 0.00796664i | \(0.00253589\pi\) | ||||
−0.999968 | + | 0.00796664i | \(0.997464\pi\) | |||||||
\(840\) | 90.8926 | + | 65.8675i | 0.108206 | + | 0.0784137i | ||||
\(841\) | −1038.37 | −1.23469 | ||||||||
\(842\) | −835.093 | −0.991797 | ||||||||
\(843\) | −693.153 | − | 480.486i | −0.822246 | − | 0.569972i | ||||
\(844\) | −273.491 | −0.324042 | ||||||||
\(845\) | 690.146 | + | 14.4636i | 0.816741 | + | 0.0171167i | ||||
\(846\) | 234.724 | + | 626.417i | 0.277452 | + | 0.740445i | ||||
\(847\) | 301.328i | 0.355759i | ||||||||
\(848\) | 206.423 | 0.243423 | ||||||||
\(849\) | 280.567 | + | 194.486i | 0.330468 | + | 0.229077i | ||||
\(850\) | −655.355 | − | 27.4810i | −0.771005 | − | 0.0323306i | ||||
\(851\) | − | 546.524i | − | 0.642214i | ||||||
\(852\) | −181.833 | − | 126.045i | −0.213419 | − | 0.147940i | ||||
\(853\) | − | 498.127i | − | 0.583971i | −0.956423 | − | 0.291985i | \(-0.905684\pi\) | ||
0.956423 | − | 0.291985i | \(-0.0943158\pi\) | |||||||
\(854\) | − | 389.871i | − | 0.456523i | ||||||
\(855\) | −9.46366 | − | 26.9623i | −0.0110686 | − | 0.0315349i | ||||
\(856\) | −539.225 | −0.629936 | ||||||||
\(857\) | −1519.40 | −1.77293 | −0.886463 | − | 0.462799i | \(-0.846845\pi\) | ||||
−0.886463 | + | 0.462799i | \(0.846845\pi\) | |||||||
\(858\) | −35.8459 | + | 51.7115i | −0.0417784 | + | 0.0602699i | ||||
\(859\) | 964.144 | 1.12240 | 0.561201 | − | 0.827679i | \(-0.310339\pi\) | ||||
0.561201 | + | 0.827679i | \(0.310339\pi\) | |||||||
\(860\) | −13.5082 | + | 644.557i | −0.0157072 | + | 0.749485i | ||||
\(861\) | −70.5931 | + | 101.838i | −0.0819897 | + | 0.118279i | ||||
\(862\) | 586.728i | 0.680659i | ||||||||
\(863\) | −1169.35 | −1.35498 | −0.677490 | − | 0.735532i | \(-0.736932\pi\) | ||||
−0.677490 | + | 0.735532i | \(0.736932\pi\) | |||||||
\(864\) | −148.076 | − | 37.4356i | −0.171385 | − | 0.0433282i | ||||
\(865\) | −977.961 | − | 20.4954i | −1.13059 | − | 0.0236942i | ||||
\(866\) | 310.793i | 0.358884i | ||||||||
\(867\) | 94.3353 | − | 136.089i | 0.108807 | − | 0.156965i | ||||
\(868\) | 71.6530i | 0.0825495i | ||||||||
\(869\) | 154.503i | 0.177794i | ||||||||
\(870\) | −744.657 | − | 539.633i | −0.855927 | − | 0.620268i | ||||
\(871\) | −631.825 | −0.725402 | ||||||||
\(872\) | 209.294 | 0.240016 | ||||||||
\(873\) | 810.966 | − | 303.877i | 0.928942 | − | 0.348083i | ||||
\(874\) | −14.0221 | −0.0160436 | ||||||||
\(875\) | −20.7762 | + | 330.066i | −0.0237443 | + | 0.377218i | ||||
\(876\) | −714.648 | − | 495.386i | −0.815809 | − | 0.565510i | ||||
\(877\) | − | 937.994i | − | 1.06955i | −0.844995 | − | 0.534774i | \(-0.820397\pi\) | ||
0.844995 | − | 0.534774i | \(-0.179603\pi\) | |||||||
\(878\) | −902.799 | −1.02824 | ||||||||
\(879\) | −607.294 | + | 876.087i | −0.690892 | + | 0.996686i | ||||
\(880\) | −1.11729 | + | 53.3124i | −0.00126964 | + | 0.0605823i | ||||
\(881\) | 274.915i | 0.312049i | 0.987753 | + | 0.156024i | \(0.0498679\pi\) | ||||
−0.987753 | + | 0.156024i | \(0.950132\pi\) | |||||||
\(882\) | 31.2622 | + | 83.4306i | 0.0354447 | + | 0.0945926i | ||||
\(883\) | − | 1155.73i | − | 1.30886i | −0.756121 | − | 0.654432i | \(-0.772908\pi\) | ||
0.756121 | − | 0.654432i | \(-0.227092\pi\) | |||||||
\(884\) | − | 206.394i | − | 0.233477i | ||||||
\(885\) | 400.070 | + | 289.921i | 0.452057 | + | 0.327594i | ||||
\(886\) | 423.076 | 0.477512 | ||||||||
\(887\) | −887.696 | −1.00079 | −0.500393 | − | 0.865799i | \(-0.666811\pi\) | ||||
−0.500393 | + | 0.865799i | \(0.666811\pi\) | |||||||
\(888\) | 244.088 | + | 169.199i | 0.274873 | + | 0.190539i | ||||
\(889\) | −253.472 | −0.285121 | ||||||||
\(890\) | 11.9969 | − | 572.442i | 0.0134796 | − | 0.643193i | ||||
\(891\) | −141.920 | − | 162.784i | −0.159282 | − | 0.182698i | ||||
\(892\) | 51.7323i | 0.0579959i | ||||||||
\(893\) | −33.3741 | −0.0373730 | ||||||||
\(894\) | −625.336 | − | 433.476i | −0.699481 | − | 0.484873i | ||||
\(895\) | −17.1928 | + | 820.369i | −0.0192098 | + | 0.916614i | ||||
\(896\) | 29.9333i | 0.0334077i | ||||||||
\(897\) | −214.143 | − | 148.441i | −0.238732 | − | 0.165486i | ||||
\(898\) | 821.168i | 0.914441i | ||||||||
\(899\) | − | 587.032i | − | 0.652983i | ||||||
\(900\) | −140.105 | − | 427.634i | −0.155672 | − | 0.475149i | ||||
\(901\) | −957.414 | −1.06261 | ||||||||
\(902\) | −58.8647 | −0.0652601 | ||||||||
\(903\) | −291.523 | + | 420.554i | −0.322838 | + | 0.465729i | ||||
\(904\) | 364.475 | 0.403180 | ||||||||
\(905\) | 565.019 | + | 11.8413i | 0.624331 | + | 0.0130843i | ||||
\(906\) | 110.367 | − | 159.216i | 0.121818 | − | 0.175735i | ||||
\(907\) | 326.166i | 0.359610i | 0.983702 | + | 0.179805i | \(0.0575466\pi\) | ||||
−0.983702 | + | 0.179805i | \(0.942453\pi\) | |||||||
\(908\) | −48.6787 | −0.0536109 | ||||||||
\(909\) | −775.098 | + | 290.437i | −0.852693 | + | 0.319512i | ||||
\(910\) | −104.040 | − | 2.18041i | −0.114330 | − | 0.00239606i | ||||
\(911\) | 455.102i | 0.499563i | 0.968302 | + | 0.249782i | \(0.0803588\pi\) | ||||
−0.968302 | + | 0.249782i | \(0.919641\pi\) | |||||||
\(912\) | 4.34110 | − | 6.26251i | 0.00475998 | − | 0.00686679i | ||||
\(913\) | 120.229i | 0.131685i | ||||||||
\(914\) | 796.647i | 0.871605i | ||||||||
\(915\) | −917.137 | + | 1265.59i | −1.00234 | + | 1.38315i | ||||
\(916\) | −482.035 | −0.526239 | ||||||||
\(917\) | 392.801 | 0.428355 | ||||||||
\(918\) | 686.797 | + | 173.631i | 0.748145 | + | 0.189141i | ||||
\(919\) | −1354.04 | −1.47338 | −0.736690 | − | 0.676230i | \(-0.763612\pi\) | ||||
−0.736690 | + | 0.676230i | \(0.763612\pi\) | |||||||
\(920\) | −220.772 | − | 4.62679i | −0.239969 | − | 0.00502912i | ||||
\(921\) | −997.294 | − | 691.313i | −1.08284 | − | 0.750611i | ||||
\(922\) | − | 195.483i | − | 0.212021i | ||||||
\(923\) | 205.112 | 0.222223 | ||||||||
\(924\) | −24.1124 | + | 34.7847i | −0.0260956 | + | 0.0376458i | ||||
\(925\) | −36.6607 | + | 874.267i | −0.0396332 | + | 0.945153i | ||||
\(926\) | − | 218.923i | − | 0.236418i | ||||||
\(927\) | 257.926 | − | 96.6472i | 0.278237 | − | 0.104258i | ||||
\(928\) | − | 245.234i | − | 0.264261i | ||||||
\(929\) | 1705.50i | 1.83585i | 0.396759 | + | 0.917923i | \(0.370135\pi\) | ||||
−0.396759 | + | 0.917923i | \(0.629865\pi\) | |||||||
\(930\) | 168.557 | − | 232.597i | 0.181244 | − | 0.250105i | ||||
\(931\) | −4.44499 | −0.00477443 | ||||||||
\(932\) | −49.9165 | −0.0535584 | ||||||||
\(933\) | −1307.56 | − | 906.386i | −1.40146 | − | 0.971475i | ||||
\(934\) | 654.601 | 0.700857 | ||||||||
\(935\) | 5.18211 | − | 247.270i | 0.00554237 | − | 0.264460i | ||||
\(936\) | 132.593 | − | 49.6839i | 0.141659 | − | 0.0530811i | ||||
\(937\) | 445.015i | 0.474936i | 0.971395 | + | 0.237468i | \(0.0763174\pi\) | ||||
−0.971395 | + | 0.237468i | \(0.923683\pi\) | |||||||
\(938\) | −425.008 | −0.453100 | ||||||||
\(939\) | 1383.60 | + | 959.098i | 1.47348 | + | 1.02140i | ||||
\(940\) | −525.461 | − | 11.0123i | −0.559001 | − | 0.0117152i | ||||
\(941\) | 1110.66i | 1.18030i | 0.807294 | + | 0.590150i | \(0.200931\pi\) | ||||
−0.807294 | + | 0.590150i | \(0.799069\pi\) | |||||||
\(942\) | −780.969 | − | 541.359i | −0.829054 | − | 0.574692i | ||||
\(943\) | − | 243.764i | − | 0.258499i | ||||||
\(944\) | 131.753i | 0.139569i | ||||||||
\(945\) | 94.7808 | − | 344.371i | 0.100297 | − | 0.364414i | ||||
\(946\) | −243.089 | −0.256965 | ||||||||
\(947\) | 32.4631 | 0.0342799 | 0.0171400 | − | 0.999853i | \(-0.494544\pi\) | ||||
0.0171400 | + | 0.999853i | \(0.494544\pi\) | |||||||
\(948\) | 198.080 | − | 285.752i | 0.208945 | − | 0.301426i | ||||
\(949\) | 806.140 | 0.849463 | ||||||||
\(950\) | 22.4309 | + | 0.940597i | 0.0236115 | + | 0.000990102i | ||||
\(951\) | 452.159 | − | 652.288i | 0.475456 | − | 0.685897i | ||||
\(952\) | − | 138.834i | − | 0.145834i | ||||||
\(953\) | 458.990 | 0.481626 | 0.240813 | − | 0.970572i | \(-0.422586\pi\) | ||||
0.240813 | + | 0.970572i | \(0.422586\pi\) | |||||||
\(954\) | −230.473 | − | 615.070i | −0.241585 | − | 0.644728i | ||||
\(955\) | 20.5754 | − | 981.776i | 0.0215449 | − | 1.02804i | ||||
\(956\) | 481.561i | 0.503725i | ||||||||
\(957\) | 197.546 | − | 284.981i | 0.206422 | − | 0.297785i | ||||
\(958\) | 1183.61i | 1.23551i | ||||||||
\(959\) | 305.043i | 0.318084i | ||||||||
\(960\) | 70.4153 | − | 97.1683i | 0.0733493 | − | 0.101217i | ||||
\(961\) | −777.637 | −0.809196 | ||||||||
\(962\) | −275.337 | −0.286213 | ||||||||
\(963\) | 602.050 | + | 1606.71i | 0.625182 | + | 1.66844i | ||||
\(964\) | −294.764 | −0.305771 | ||||||||
\(965\) | 29.5752 | − | 1411.21i | 0.0306479 | − | 1.46239i | ||||
\(966\) | −144.047 | − | 99.8516i | −0.149117 | − | 0.103366i | ||||
\(967\) | 899.118i | 0.929802i | 0.885363 | + | 0.464901i | \(0.153910\pi\) | ||||
−0.885363 | + | 0.464901i | \(0.846090\pi\) | |||||||
\(968\) | 322.133 | 0.332782 | ||||||||
\(969\) | −20.1346 | + | 29.0463i | −0.0207787 | + | 0.0299756i | ||||
\(970\) | −14.2566 | + | 680.268i | −0.0146975 | + | 0.701307i | ||||
\(971\) | 1201.62i | 1.23750i | 0.785587 | + | 0.618752i | \(0.212361\pi\) | ||||
−0.785587 | + | 0.618752i | \(0.787639\pi\) | |||||||
\(972\) | 53.7829 | + | 483.015i | 0.0553322 | + | 0.496929i | ||||
\(973\) | 251.612i | 0.258594i | ||||||||
\(974\) | − | 299.873i | − | 0.307878i | ||||||
\(975\) | 332.603 | + | 251.824i | 0.341132 | + | 0.258281i | ||||
\(976\) | −416.790 | −0.427039 | ||||||||
\(977\) | 227.188 | 0.232536 | 0.116268 | − | 0.993218i | \(-0.462907\pi\) | ||||
0.116268 | + | 0.993218i | \(0.462907\pi\) | |||||||
\(978\) | −1047.13 | − | 725.857i | −1.07068 | − | 0.742185i | ||||
\(979\) | 215.891 | 0.220522 | ||||||||
\(980\) | −69.9846 | − | 1.46669i | −0.0714129 | − | 0.00149662i | ||||
\(981\) | −233.678 | − | 623.625i | −0.238204 | − | 0.635704i | ||||
\(982\) | 112.005i | 0.114059i | ||||||||
\(983\) | −510.695 | −0.519527 | −0.259763 | − | 0.965672i | \(-0.583645\pi\) | ||||
−0.259763 | + | 0.965672i | \(0.583645\pi\) | |||||||
\(984\) | 108.870 | + | 75.4672i | 0.110640 | + | 0.0766943i | ||||
\(985\) | 1433.49 | + | 30.0422i | 1.45532 | + | 0.0304997i | ||||
\(986\) | 1137.43i | 1.15358i | ||||||||
\(987\) | −342.847 | − | 237.658i | −0.347363 | − | 0.240788i | ||||
\(988\) | 7.06426i | 0.00715006i | ||||||||
\(989\) | − | 1006.66i | − | 1.01785i | ||||||
\(990\) | 160.101 | − | 56.1946i | 0.161718 | − | 0.0567622i | ||||
\(991\) | 1161.49 | 1.17204 | 0.586019 | − | 0.810297i | \(-0.300694\pi\) | ||||
0.586019 | + | 0.810297i | \(0.300694\pi\) | |||||||
\(992\) | 76.6003 | 0.0772180 | ||||||||
\(993\) | 923.659 | − | 1332.48i | 0.930170 | − | 1.34187i | ||||
\(994\) | 137.972 | 0.138805 | ||||||||
\(995\) | −374.484 | − | 7.84819i | −0.376366 | − | 0.00788763i | ||||
\(996\) | 154.139 | − | 222.362i | 0.154758 | − | 0.223255i | ||||
\(997\) | − | 506.932i | − | 0.508457i | −0.967144 | − | 0.254229i | \(-0.918178\pi\) | ||
0.967144 | − | 0.254229i | \(-0.0818216\pi\) | |||||||
\(998\) | −366.893 | −0.367628 | ||||||||
\(999\) | 231.630 | − | 916.212i | 0.231862 | − | 0.917129i |
(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 | 210.3.c.a.29.19 | yes | 24 | |
3.2 | odd | 2 | inner | 210.3.c.a.29.5 | ✓ | 24 | |
5.2 | odd | 4 | 1050.3.e.e.701.11 | 24 | |||
5.3 | odd | 4 | 1050.3.e.e.701.10 | 24 | |||
5.4 | even | 2 | inner | 210.3.c.a.29.6 | yes | 24 | |
15.2 | even | 4 | 1050.3.e.e.701.9 | 24 | |||
15.8 | even | 4 | 1050.3.e.e.701.12 | 24 | |||
15.14 | odd | 2 | inner | 210.3.c.a.29.20 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.c.a.29.5 | ✓ | 24 | 3.2 | odd | 2 | inner | |
210.3.c.a.29.6 | yes | 24 | 5.4 | even | 2 | inner | |
210.3.c.a.29.19 | yes | 24 | 1.1 | even | 1 | trivial | |
210.3.c.a.29.20 | yes | 24 | 15.14 | odd | 2 | inner | |
1050.3.e.e.701.9 | 24 | 15.2 | even | 4 | |||
1050.3.e.e.701.10 | 24 | 5.3 | odd | 4 | |||
1050.3.e.e.701.11 | 24 | 5.2 | odd | 4 | |||
1050.3.e.e.701.12 | 24 | 15.8 | even | 4 |