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 | 29.5 | ||
Character | \(\chi\) | \(=\) | 210.29 |
Dual form | 210.3.c.a.29.6 |
$q$-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 | \(-0.961329\pi\) | ||
0.992629 | − | 0.121191i | \(-0.0386714\pi\) | |||||||
\(12\) | −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 | ||||||
\(15\) | 8.28532 | + | 12.5041i | 0.552354 | + | 0.833609i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | 18.5525 | 1.09132 | 0.545662 | − | 0.838005i | \(-0.316278\pi\) | ||||
0.545662 | + | 0.838005i | \(0.316278\pi\) | |||||||
\(18\) | 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 | \(-0.389762\pi\) | ||||
0.339442 | + | 0.940627i | \(0.389762\pi\) | |||||||
\(24\) | 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 | \(0.268719\pi\) | ||||
−0.664325 | + | 0.747444i | \(0.731281\pi\) | |||||||
\(30\) | −11.7172 | − | 17.6835i | −0.390574 | − | 0.589451i | ||||
\(31\) | 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 | \(-0.939026\pi\) | ||
0.981710 | − | 0.190385i | \(-0.0609736\pi\) | |||||||
\(42\) | −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 | ||||||
\(45\) | 16.6693 | − | 41.7987i | 0.370428 | − | 0.928861i | ||||
\(46\) | −22.0820 | −0.480044 | ||||||||
\(47\) | 52.5576 | 1.11825 | 0.559124 | − | 0.829084i | \(-0.311138\pi\) | ||||
0.559124 | + | 0.829084i | \(0.311138\pi\) | |||||||
\(48\) | −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 | \(-0.661853\pi\) | ||||
−0.486846 | + | 0.873488i | \(0.661853\pi\) | |||||||
\(54\) | −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 | \(-0.909951\pi\) | ||
0.960251 | − | 0.279139i | \(-0.0900489\pi\) | |||||||
\(60\) | 16.5706 | + | 25.0083i | 0.276177 | + | 0.416805i | ||||
\(61\) | −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 | \(0.0836172\pi\) | ||||
−0.965695 | + | 0.259680i | \(0.916383\pi\) | |||||||
\(72\) | 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 | ||||||
\(75\) | −40.1075 | − | 63.3750i | −0.534767 | − | 0.845000i | ||||
\(76\) | 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 | \(-0.587569\pi\) | ||||
−0.271648 | + | 0.962397i | \(0.587569\pi\) | |||||||
\(84\) | 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 | \(0.150327\pi\) | ||||
−0.890539 | + | 0.454906i | \(0.849673\pi\) | |||||||
\(90\) | −23.5739 | + | 59.1124i | −0.261932 | + | 0.656804i | ||||
\(91\) | −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 | \(0.150466\pi\) | ||||
−0.890341 | + | 0.455295i | \(0.849534\pi\) | |||||||
\(102\) | 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 | ||||||
\(105\) | −33.0828 | + | 21.9209i | −0.315075 | + | 0.208770i | ||||
\(106\) | 72.9814 | 0.688504 | ||||||||
\(107\) | 190.645 | 1.78173 | 0.890864 | − | 0.454270i | \(-0.150100\pi\) | ||||
0.890864 | + | 0.454270i | \(0.150100\pi\) | |||||||
\(108\) | 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 | \(-0.693128\pi\) | ||||
−0.570183 | + | 0.821518i | \(0.693128\pi\) | |||||||
\(114\) | 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 | ||||||||
\(120\) | −23.4344 | − | 35.3671i | −0.195287 | − | 0.294725i | ||||
\(121\) | 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 | \(0.191765\pi\) | ||||
−0.823952 | + | 0.566660i | \(0.808235\pi\) | |||||||
\(132\) | −13.1474 | + | 9.11361i | −0.0996013 | + | 0.0690425i | ||||
\(133\) | 1.68005i | 0.0126320i | ||||||||
\(134\) | − | 160.638i | − | 1.19879i | ||||||
\(135\) | −131.547 | + | 30.3391i | −0.974420 | + | 0.224734i | ||||
\(136\) | −52.4744 | −0.385842 | ||||||||
\(137\) | −115.295 | −0.841572 | −0.420786 | − | 0.907160i | \(-0.638246\pi\) | ||||
−0.420786 | + | 0.907160i | \(0.638246\pi\) | |||||||
\(138\) | 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 | \(0.205558\pi\) | ||||
−0.798632 | + | 0.601820i | \(0.794442\pi\) | |||||||
\(150\) | 56.7206 | + | 89.6258i | 0.378137 | + | 0.597505i | ||||
\(151\) | 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 | ||||||
\(165\) | 33.3386 | − | 22.0904i | 0.202052 | − | 0.133881i | ||||
\(166\) | 63.7719 | 0.384168 | ||||||||
\(167\) | 125.443 | 0.751158 | 0.375579 | − | 0.926790i | \(-0.377444\pi\) | ||||
0.375579 | + | 0.926790i | \(0.377444\pi\) | |||||||
\(168\) | −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 | \(-0.308714\pi\) | ||||
0.565419 | + | 0.824804i | \(0.308714\pi\) | |||||||
\(174\) | −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 | \(-0.848420\pi\) | ||
0.888742 | − | 0.458408i | \(-0.151580\pi\) | |||||||
\(180\) | 33.3386 | − | 83.5975i | 0.185214 | − | 0.464431i | ||||
\(181\) | 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 | \(0.171886\pi\) | ||||
−0.857711 | + | 0.514132i | \(0.828114\pi\) | |||||||
\(192\) | −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 | ||||||
\(195\) | −69.5533 | + | 46.0864i | −0.356683 | + | 0.236340i | ||||
\(196\) | −14.0000 | −0.0714286 | ||||||||
\(197\) | −286.761 | −1.45564 | −0.727821 | − | 0.685767i | \(-0.759467\pi\) | ||||
−0.727821 | + | 0.685767i | \(0.759467\pi\) | |||||||
\(198\) | −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 | ||||||
\(210\) | 46.7862 | − | 31.0008i | 0.222791 | − | 0.147623i | ||||
\(211\) | −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 | ||||||
\(225\) | −87.7071 | + | 207.202i | −0.389809 | + | 0.920896i | ||||
\(226\) | 182.238 | 0.806361 | ||||||||
\(227\) | 24.3393 | 0.107222 | 0.0536109 | − | 0.998562i | \(-0.482927\pi\) | ||||
0.0536109 | + | 0.998562i | \(0.482927\pi\) | |||||||
\(228\) | −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 | \(-0.482944\pi\) | ||||
0.0535584 | + | 0.998565i | \(0.482944\pi\) | |||||||
\(234\) | 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 | \(-0.831963\pi\) | ||
0.863864 | − | 0.503725i | \(-0.168037\pi\) | |||||||
\(240\) | 33.1413 | + | 50.0166i | 0.138089 | + | 0.208402i | ||||
\(241\) | −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 | \(-0.719275\pi\) | ||
0.635668 | − | 0.771963i | \(-0.280725\pi\) | |||||||
\(252\) | −44.5956 | − | 16.7104i | −0.176966 | − | 0.0663110i | ||||
\(253\) | − | 41.6311i | − | 0.164550i | ||||||
\(254\) | − | 135.487i | − | 0.533412i | ||||||
\(255\) | 153.713 | + | 231.983i | 0.602798 | + | 0.909738i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | −11.2525 | −0.0437839 | −0.0218919 | − | 0.999760i | \(-0.506969\pi\) | ||||
−0.0218919 | + | 0.999760i | \(0.506969\pi\) | |||||||
\(258\) | −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 | \(-0.300386\pi\) | ||||
0.586803 | + | 0.809730i | \(0.300386\pi\) | |||||||
\(264\) | 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 | \(-0.879443\pi\) | ||
0.929131 | − | 0.369751i | \(-0.120557\pi\) | |||||||
\(270\) | 186.035 | − | 42.9060i | 0.689019 | − | 0.158911i | ||||
\(271\) | −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 | \(0.166754\pi\) | ||||
−0.865887 | + | 0.500239i | \(0.833246\pi\) | |||||||
\(282\) | 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 | ||||||||
\(285\) | 5.26117 | + | 7.94012i | 0.0184602 | + | 0.0278601i | ||||
\(286\) | −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 | \(-0.292627\pi\) | ||||
0.606365 | + | 0.795187i | \(0.292627\pi\) | |||||||
\(294\) | −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 | ||||||||
\(300\) | −80.2150 | − | 126.750i | −0.267383 | − | 0.422500i | ||||
\(301\) | −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 | \(0.324988\pi\) | ||||
−0.522530 | + | 0.852621i | \(0.675012\pi\) | |||||||
\(312\) | −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 | ||||||||
\(315\) | 110.589 | + | 44.1028i | 0.351076 | + | 0.140009i | ||||
\(316\) | 115.897 | 0.366764 | ||||||||
\(317\) | −264.560 | −0.834574 | −0.417287 | − | 0.908775i | \(-0.637019\pi\) | ||||
−0.417287 | + | 0.908775i | \(0.637019\pi\) | |||||||
\(318\) | −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 | ||||||||
\(330\) | −47.1479 | + | 31.2405i | −0.142872 | + | 0.0946681i | ||||
\(331\) | 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 | ||||||
\(345\) | 129.370 | + | 195.244i | 0.374985 | + | 0.565925i | ||||
\(346\) | −276.670 | −0.799624 | ||||||||
\(347\) | −253.956 | −0.731861 | −0.365931 | − | 0.930642i | \(-0.619249\pi\) | ||||
−0.365931 | + | 0.930642i | \(0.619249\pi\) | |||||||
\(348\) | 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 | \(-0.628849\pi\) | ||||
−0.393826 | + | 0.919185i | \(0.628849\pi\) | |||||||
\(354\) | 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 | \(-0.963739\pi\) | ||
0.993519 | − | 0.113670i | \(-0.0362606\pi\) | |||||||
\(360\) | −47.1478 | + | 118.225i | −0.130966 | + | 0.328402i | ||||
\(361\) | −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 | ||||||||
\(375\) | 193.854 | + | 321.007i | 0.516944 | + | 0.856019i | ||||
\(376\) | −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 | \(-0.479508\pi\) | ||||
0.0643345 | + | 0.997928i | \(0.479508\pi\) | |||||||
\(384\) | 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 | \(0.00109789\pi\) | ||||
−0.999994 | + | 0.00344911i | \(0.998902\pi\) | |||||||
\(390\) | 98.3632 | − | 65.1760i | 0.252213 | − | 0.167118i | ||||
\(391\) | 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 | \(0.0474545\pi\) | ||||
−0.988908 | + | 0.148531i | \(0.952545\pi\) | |||||||
\(402\) | −396.062 | + | 274.546i | −0.985230 | + | 0.682950i | ||||
\(403\) | 75.3215i | 0.186902i | ||||||||
\(404\) | 183.939i | 0.455295i | ||||||||
\(405\) | 299.629 | + | 272.484i | 0.739825 | + | 0.672799i | ||||
\(406\) | 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 | \(0.0883957\pi\) | ||||
−0.961688 | + | 0.274148i | \(0.911604\pi\) | |||||||
\(420\) | −66.1657 | + | 43.8418i | −0.157537 | + | 0.104385i | ||||
\(421\) | −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 | \(-0.840165\pi\) | ||
0.876557 | − | 0.481298i | \(-0.159835\pi\) | |||||||
\(432\) | 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 | ||||||
\(435\) | −542.076 | + | 359.183i | −1.24615 | + | 0.825708i | ||||
\(436\) | 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 | \(-0.609633\pi\) | ||||
−0.337652 | + | 0.941271i | \(0.609633\pi\) | |||||||
\(444\) | 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 | \(-0.776187\pi\) | ||
0.762823 | − | 0.646607i | \(-0.223813\pi\) | |||||||
\(450\) | 124.037 | − | 293.027i | 0.275637 | − | 0.651172i | ||||
\(451\) | −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 | \(0.0479020\pi\) | ||||
−0.988698 | + | 0.149921i | \(0.952098\pi\) | |||||||
\(462\) | 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 | ||||||||
\(465\) | 112.193 | + | 169.320i | 0.241275 | + | 0.364130i | ||||
\(466\) | −35.2963 | −0.0757431 | ||||||||
\(467\) | −462.873 | −0.991162 | −0.495581 | − | 0.868562i | \(-0.665045\pi\) | ||||
−0.495581 | + | 0.868562i | \(0.665045\pi\) | |||||||
\(468\) | −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 | \(-0.661757\pi\) | ||
0.486582 | − | 0.873635i | \(-0.338243\pi\) | |||||||
\(480\) | −46.8688 | − | 70.7341i | −0.0976434 | − | 0.147363i | ||||
\(481\) | −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 | \(-0.974300\pi\) | ||
0.996742 | − | 0.0806516i | \(-0.0257001\pi\) | |||||||
\(492\) | −76.9824 | + | 53.3634i | −0.156468 | + | 0.108462i | ||||
\(493\) | 804.284i | 1.63141i | ||||||||
\(494\) | − | 4.99519i | − | 0.0101117i | ||||||
\(495\) | −111.444 | − | 44.4437i | −0.225139 | − | 0.0897853i | ||||
\(496\) | 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 | \(-0.555941\pi\) | ||||
−0.174841 | + | 0.984597i | \(0.555941\pi\) | |||||||
\(504\) | 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 | \(0.191853\pi\) | ||||
−0.823794 | + | 0.566890i | \(0.808147\pi\) | |||||||
\(510\) | −217.384 | − | 328.074i | −0.426243 | − | 0.643282i | ||||
\(511\) | 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 | \(-0.939049\pi\) | ||
0.981723 | − | 0.190316i | \(-0.0609512\pi\) | |||||||
\(522\) | 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 | ||||||||
\(525\) | 167.674 | − | 106.114i | 0.319380 | − | 0.202123i | ||||
\(526\) | −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 | ||||||||
\(540\) | −263.093 | + | 60.6782i | −0.487210 | + | 0.112367i | ||||
\(541\) | 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 | ||||||
\(555\) | −437.662 | + | 289.998i | −0.788581 | + | 0.522518i | ||||
\(556\) | 190.201 | 0.342088 | ||||||||
\(557\) | 659.047 | 1.18321 | 0.591604 | − | 0.806228i | \(-0.298495\pi\) | ||||
0.591604 | + | 0.806228i | \(0.298495\pi\) | |||||||
\(558\) | 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 | \(-0.876002\pi\) | ||||
−0.925079 | + | 0.379774i | \(0.876002\pi\) | |||||||
\(564\) | −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 | \(0.0403250\pi\) | ||||
−0.991986 | + | 0.126346i | \(0.959675\pi\) | |||||||
\(570\) | −7.44042 | − | 11.2290i | −0.0130534 | − | 0.0197000i | ||||
\(571\) | 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 | ||||||||
\(585\) | 232.502 | + | 92.7215i | 0.397439 | + | 0.158498i | ||||
\(586\) | −502.512 | −0.857529 | ||||||||
\(587\) | −679.045 | −1.15681 | −0.578403 | − | 0.815751i | \(-0.696324\pi\) | ||||
−0.578403 | + | 0.815751i | \(0.696324\pi\) | |||||||
\(588\) | 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 | \(-0.733819\pi\) | ||||
−0.670264 | + | 0.742123i | \(0.733819\pi\) | |||||||
\(594\) | 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 | \(-0.855332\pi\) | ||
0.898486 | − | 0.439002i | \(-0.144668\pi\) | |||||||
\(600\) | 113.441 | + | 179.252i | 0.189069 | + | 0.298753i | ||||
\(601\) | 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 | ||||||||
\(615\) | 195.209 | − | 129.347i | 0.317413 | − | 0.210320i | ||||
\(616\) | −19.9521 | −0.0323897 | ||||||||
\(617\) | 872.471 | 1.41405 | 0.707027 | − | 0.707187i | \(-0.250036\pi\) | ||||
0.707027 | + | 0.707187i | \(0.250036\pi\) | |||||||
\(618\) | −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 | ||||||||
\(630\) | −156.397 | − | 62.3707i | −0.248249 | − | 0.0990011i | ||||
\(631\) | 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 | \(0.0140027\pi\) | ||||
−0.999033 | + | 0.0439766i | \(0.985997\pi\) | |||||||
\(642\) | 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 | ||||||||
\(645\) | −806.140 | + | 534.153i | −1.24983 | + | 0.828145i | ||||
\(646\) | −16.6606 | −0.0257904 | ||||||||
\(647\) | 523.120 | 0.808532 | 0.404266 | − | 0.914641i | \(-0.367527\pi\) | ||||
0.404266 | + | 0.914641i | \(0.367527\pi\) | |||||||
\(648\) | 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 | \(-0.339992\pi\) | ||||
0.481777 | + | 0.876294i | \(0.339992\pi\) | |||||||
\(654\) | 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 | \(-0.632257\pi\) | ||
0.403644 | − | 0.914916i | \(-0.367743\pi\) | |||||||
\(660\) | 66.6772 | − | 44.1807i | 0.101026 | − | 0.0669405i | ||||
\(661\) | 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 | ||||||||
\(675\) | 660.768 | − | 137.881i | 0.978915 | − | 0.204268i | ||||
\(676\) | 276.119 | 0.408460 | ||||||||
\(677\) | 1253.11 | 1.85097 | 0.925485 | − | 0.378784i | \(-0.123658\pi\) | ||||
0.925485 | + | 0.378784i | \(0.123658\pi\) | |||||||
\(678\) | −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 | \(-0.244614\pi\) | ||||
0.718971 | + | 0.695041i | \(0.244614\pi\) | |||||||
\(684\) | −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 | ||||||
\(690\) | −182.957 | − | 276.117i | −0.265154 | − | 0.400169i | ||||
\(691\) | 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 | \(0.0757502\pi\) | ||||
−0.971817 | + | 0.235736i | \(0.924250\pi\) | |||||||
\(702\) | −52.0581 | − | 205.915i | −0.0741568 | − | 0.293327i | ||||
\(703\) | 22.2259i | 0.0316157i | ||||||||
\(704\) | − | 21.3296i | − | 0.0302978i | ||||||
\(705\) | 435.457 | + | 657.188i | 0.617669 | + | 0.932182i | ||||
\(706\) | 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 | \(0.242960\pi\) | ||||
−0.722572 | + | 0.691296i | \(0.757040\pi\) | |||||||
\(720\) | 66.6771 | − | 167.195i | 0.0926071 | − | 0.232215i | ||||
\(721\) | −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 | ||||||
\(735\) | −57.9972 | − | 87.5290i | −0.0789078 | − | 0.119087i | ||||
\(736\) | −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 | \(-0.422805\pi\) | ||||
0.240147 | + | 0.970737i | \(0.422805\pi\) | |||||||
\(744\) | 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 | ||||||||
\(750\) | −274.151 | − | 453.973i | −0.365535 | − | 0.605297i | ||||
\(751\) | 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 | \(-0.823834\pi\) | ||
0.850720 | − | 0.525619i | \(-0.176166\pi\) | |||||||
\(762\) | −334.050 | + | 231.560i | −0.438386 | + | 0.303884i | ||||
\(763\) | 195.776i | 0.256588i | ||||||||
\(764\) | 392.797i | 0.514132i | ||||||||
\(765\) | 309.257 | − | 775.472i | 0.404258 | − | 1.01369i | ||||
\(766\) | −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 | \(-0.502249\pi\) | ||||
−0.00706557 | + | 0.999975i | \(0.502249\pi\) | |||||||
\(774\) | 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 | ||||||
\(780\) | −139.107 | + | 92.1728i | −0.178342 | + | 0.118170i | ||||
\(781\) | 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 | ||||||
\(795\) | −427.569 | − | 645.284i | −0.537823 | − | 0.811678i | ||||
\(796\) | −149.827 | −0.188224 | ||||||||
\(797\) | −805.498 | −1.01066 | −0.505331 | − | 0.862925i | \(-0.668630\pi\) | ||||
−0.505331 | + | 0.862925i | \(0.668630\pi\) | |||||||
\(798\) | −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 | \(0.204228\pi\) | ||||
−0.801138 | + | 0.598480i | \(0.795772\pi\) | |||||||
\(810\) | −423.740 | − | 385.350i | −0.523135 | − | 0.475741i | ||||
\(811\) | −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 | \(-0.783155\pi\) | ||
0.776793 | − | 0.629756i | \(-0.216845\pi\) | |||||||
\(822\) | −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 | ||||||
\(825\) | −168.971 | + | 106.935i | −0.204813 | + | 0.129618i | ||||
\(826\) | −123.244 | −0.149206 | ||||||||
\(827\) | −1125.16 | −1.36054 | −0.680268 | − | 0.732964i | \(-0.738136\pi\) | ||||
−0.680268 | + | 0.732964i | \(0.738136\pi\) | |||||||
\(828\) | −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 | \(-0.997464\pi\) | ||
0.999968 | − | 0.00796664i | \(-0.00253589\pi\) | |||||||
\(840\) | 93.5724 | − | 62.0016i | 0.111396 | − | 0.0738115i | ||||
\(841\) | −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 | ||||||||
\(855\) | 10.5850 | − | 26.5422i | 0.0123801 | − | 0.0310435i | ||||
\(856\) | −539.225 | −0.629936 | ||||||||
\(857\) | 1519.40 | 1.77293 | 0.886463 | − | 0.462799i | \(-0.153155\pi\) | ||||
0.886463 | + | 0.462799i | \(0.153155\pi\) | |||||||
\(858\) | 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 | \(-0.263068\pi\) | ||||
0.677490 | + | 0.735532i | \(0.263068\pi\) | |||||||
\(864\) | −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 | ||||||
\(870\) | 766.612 | − | 507.961i | 0.881163 | − | 0.583864i | ||||
\(871\) | −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 | \(-0.950132\pi\) | ||
0.987753 | − | 0.156024i | \(-0.0498679\pi\) | |||||||
\(882\) | −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 | ||||||||
\(885\) | 411.866 | − | 272.905i | 0.465385 | − | 0.308367i | ||||
\(886\) | 423.076 | 0.477512 | ||||||||
\(887\) | 887.696 | 1.00079 | 0.500393 | − | 0.865799i | \(-0.333189\pi\) | ||||
0.500393 | + | 0.865799i | \(0.333189\pi\) | |||||||
\(888\) | −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 | ||||||||
\(900\) | −175.414 | + | 414.403i | −0.194905 | + | 0.460448i | ||||
\(901\) | −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 | \(-0.919641\pi\) | ||
0.968302 | − | 0.249782i | \(-0.0803588\pi\) | |||||||
\(912\) | −4.34110 | − | 6.26251i | −0.00475998 | − | 0.00686679i | ||||
\(913\) | 120.229i | 0.131685i | ||||||||
\(914\) | − | 796.647i | − | 0.871605i | ||||||
\(915\) | −863.308 | − | 1302.90i | −0.943506 | − | 1.42393i | ||||
\(916\) | −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 | \(-0.629865\pi\) | ||
0.396759 | − | 0.917923i | \(-0.370135\pi\) | |||||||
\(930\) | −158.664 | − | 239.455i | −0.170607 | − | 0.257479i | ||||
\(931\) | −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 | \(-0.799069\pi\) | ||
0.807294 | − | 0.590150i | \(-0.200931\pi\) | |||||||
\(942\) | 780.969 | − | 541.359i | 0.829054 | − | 0.574692i | ||||
\(943\) | − | 243.764i | − | 0.258499i | ||||||
\(944\) | − | 131.753i | − | 0.139569i | ||||||
\(945\) | −80.2697 | − | 348.040i | −0.0849415 | − | 0.368296i | ||||
\(946\) | −243.089 | −0.256965 | ||||||||
\(947\) | −32.4631 | −0.0342799 | −0.0171400 | − | 0.999853i | \(-0.505456\pi\) | ||||
−0.0171400 | + | 0.999853i | \(0.505456\pi\) | |||||||
\(948\) | −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 | \(-0.577414\pi\) | ||||
−0.240813 | + | 0.970572i | \(0.577414\pi\) | |||||||
\(954\) | −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 | ||||||
\(960\) | 66.2825 | + | 100.033i | 0.0690443 | + | 0.104201i | ||||
\(961\) | −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 | \(-0.787639\pi\) | ||
0.785587 | − | 0.618752i | \(-0.212361\pi\) | |||||||
\(972\) | −53.7829 | + | 483.015i | −0.0553322 | + | 0.496929i | ||||
\(973\) | 251.612i | 0.258594i | ||||||||
\(974\) | 299.873i | 0.307878i | ||||||||
\(975\) | 352.518 | − | 223.095i | 0.361557 | − | 0.228815i | ||||
\(976\) | −416.790 | −0.427039 | ||||||||
\(977\) | −227.188 | −0.232536 | −0.116268 | − | 0.993218i | \(-0.537093\pi\) | ||||
−0.116268 | + | 0.993218i | \(0.537093\pi\) | |||||||
\(978\) | 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 | \(-0.416355\pi\) | ||||
0.259763 | + | 0.965672i | \(0.416355\pi\) | |||||||
\(984\) | 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 | ||||||||
\(990\) | 157.606 | + | 62.8529i | 0.159198 | + | 0.0634878i | ||||
\(991\) | 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.29.5 | ✓ | 24 | |
3.2 | odd | 2 | inner | 210.3.c.a.29.19 | yes | 24 | |
5.2 | odd | 4 | 1050.3.e.e.701.9 | 24 | |||
5.3 | odd | 4 | 1050.3.e.e.701.12 | 24 | |||
5.4 | even | 2 | inner | 210.3.c.a.29.20 | yes | 24 | |
15.2 | even | 4 | 1050.3.e.e.701.11 | 24 | |||
15.8 | even | 4 | 1050.3.e.e.701.10 | 24 | |||
15.14 | odd | 2 | inner | 210.3.c.a.29.6 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.c.a.29.5 | ✓ | 24 | 1.1 | even | 1 | trivial | |
210.3.c.a.29.6 | yes | 24 | 15.14 | odd | 2 | inner | |
210.3.c.a.29.19 | yes | 24 | 3.2 | odd | 2 | inner | |
210.3.c.a.29.20 | yes | 24 | 5.4 | even | 2 | inner | |
1050.3.e.e.701.9 | 24 | 5.2 | odd | 4 | |||
1050.3.e.e.701.10 | 24 | 15.8 | even | 4 | |||
1050.3.e.e.701.11 | 24 | 15.2 | even | 4 | |||
1050.3.e.e.701.12 | 24 | 5.3 | odd | 4 |