Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [140,3,Mod(11,140)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(140, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("140.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 140 = 2^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 140.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.81472370104\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 140.11 |
Dual form | 140.3.t.a.51.16 |
$q$-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 \(\left(\mathbb{Z}/140\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(101\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0819421 | + | 1.99832i | 0.0409711 | + | 0.999160i | ||||
\(3\) | 4.93310 | + | 2.84813i | 1.64437 | + | 0.949376i | 0.979255 | + | 0.202633i | \(0.0649498\pi\) |
0.665113 | + | 0.746743i | \(0.268384\pi\) | |||||||
\(4\) | −3.98657 | + | 0.327493i | −0.996643 | + | 0.0818733i | ||||
\(5\) | 1.11803 | + | 1.93649i | 0.223607 | + | 0.387298i | ||||
\(6\) | −5.28724 | + | 10.0913i | −0.881207 | + | 1.68188i | ||||
\(7\) | −6.48796 | − | 2.62800i | −0.926852 | − | 0.375428i | ||||
\(8\) | −0.981105 | − | 7.93961i | −0.122638 | − | 0.992451i | ||||
\(9\) | 11.7237 | + | 20.3060i | 1.30263 | + | 2.25622i | ||||
\(10\) | −3.77812 | + | 2.39287i | −0.377812 | + | 0.239287i | ||||
\(11\) | −5.26172 | − | 3.03786i | −0.478339 | − | 0.276169i | 0.241385 | − | 0.970429i | \(-0.422398\pi\) |
−0.719724 | + | 0.694260i | \(0.755732\pi\) | |||||||
\(12\) | −20.5989 | − | 9.73871i | −1.71658 | − | 0.811559i | ||||
\(13\) | 11.5457 | 0.888134 | 0.444067 | − | 0.895993i | \(-0.353535\pi\) | ||||
0.444067 | + | 0.895993i | \(0.353535\pi\) | |||||||
\(14\) | 4.71994 | − | 13.1804i | 0.337139 | − | 0.941455i | ||||
\(15\) | 12.7372i | 0.849148i | ||||||||
\(16\) | 15.7855 | − | 2.61115i | 0.986594 | − | 0.163197i | ||||
\(17\) | 2.84067 | − | 4.92019i | 0.167098 | − | 0.289423i | −0.770300 | − | 0.637682i | \(-0.779894\pi\) |
0.937398 | + | 0.348259i | \(0.113227\pi\) | |||||||
\(18\) | −39.6172 | + | 25.0916i | −2.20096 | + | 1.39398i | ||||
\(19\) | 29.1569 | − | 16.8338i | 1.53458 | − | 0.885988i | 0.535434 | − | 0.844577i | \(-0.320148\pi\) |
0.999142 | − | 0.0414103i | \(-0.0131851\pi\) | |||||||
\(20\) | −5.09131 | − | 7.35381i | −0.254566 | − | 0.367691i | ||||
\(21\) | −24.5209 | − | 31.4427i | −1.16766 | − | 1.49727i | ||||
\(22\) | 5.63946 | − | 10.7635i | 0.256339 | − | 0.489252i | ||||
\(23\) | −17.6580 | + | 10.1948i | −0.767738 | + | 0.443254i | −0.832067 | − | 0.554675i | \(-0.812843\pi\) |
0.0643288 | + | 0.997929i | \(0.479509\pi\) | |||||||
\(24\) | 17.7731 | − | 41.9612i | 0.740547 | − | 1.74838i | ||||
\(25\) | −2.50000 | + | 4.33013i | −0.100000 | + | 0.173205i | ||||
\(26\) | 0.946083 | + | 23.0721i | 0.0363878 | + | 0.887389i | ||||
\(27\) | 82.2957i | 3.04799i | ||||||||
\(28\) | 26.7254 | + | 8.35192i | 0.954477 | + | 0.298283i | ||||
\(29\) | −10.7706 | −0.371399 | −0.185699 | − | 0.982607i | \(-0.559455\pi\) | ||||
−0.185699 | + | 0.982607i | \(0.559455\pi\) | |||||||
\(30\) | −25.4530 | + | 1.04371i | −0.848435 | + | 0.0347905i | ||||
\(31\) | −14.2872 | − | 8.24874i | −0.460879 | − | 0.266088i | 0.251535 | − | 0.967848i | \(-0.419065\pi\) |
−0.712414 | + | 0.701760i | \(0.752398\pi\) | |||||||
\(32\) | 6.51141 | + | 31.3305i | 0.203482 | + | 0.979079i | ||||
\(33\) | −17.3044 | − | 29.9721i | −0.524376 | − | 0.908246i | ||||
\(34\) | 10.0649 | + | 5.27340i | 0.296026 | + | 0.155100i | ||||
\(35\) | −2.16467 | − | 15.5021i | −0.0618477 | − | 0.442916i | ||||
\(36\) | −53.3873 | − | 77.1118i | −1.48298 | − | 2.14200i | ||||
\(37\) | −20.3664 | − | 35.2756i | −0.550443 | − | 0.953396i | −0.998242 | − | 0.0592617i | \(-0.981125\pi\) |
0.447799 | − | 0.894134i | \(-0.352208\pi\) | |||||||
\(38\) | 36.0284 | + | 56.8855i | 0.948117 | + | 1.49699i | ||||
\(39\) | 56.9564 | + | 32.8838i | 1.46042 | + | 0.843173i | ||||
\(40\) | 14.2781 | − | 10.7767i | 0.356952 | − | 0.269416i | ||||
\(41\) | 41.1307 | 1.00319 | 0.501594 | − | 0.865103i | \(-0.332747\pi\) | ||||
0.501594 | + | 0.865103i | \(0.332747\pi\) | |||||||
\(42\) | 60.8233 | − | 51.5771i | 1.44817 | − | 1.22803i | ||||
\(43\) | 6.10425i | 0.141959i | 0.997478 | + | 0.0709796i | \(0.0226125\pi\) | ||||
−0.997478 | + | 0.0709796i | \(0.977387\pi\) | |||||||
\(44\) | 21.9711 | + | 10.3875i | 0.499344 | + | 0.236079i | ||||
\(45\) | −26.2149 | + | 45.4056i | −0.582554 | + | 1.00901i | ||||
\(46\) | −21.8195 | − | 34.4509i | −0.474337 | − | 0.748933i | ||||
\(47\) | 12.6485 | − | 7.30261i | 0.269117 | − | 0.155375i | −0.359369 | − | 0.933195i | \(-0.617008\pi\) |
0.628486 | + | 0.777821i | \(0.283675\pi\) | |||||||
\(48\) | 85.3084 | + | 32.0780i | 1.77726 | + | 0.668292i | ||||
\(49\) | 35.1873 | + | 34.1007i | 0.718108 | + | 0.695932i | ||||
\(50\) | −8.85784 | − | 4.64098i | −0.177157 | − | 0.0928196i | ||||
\(51\) | 28.0267 | − | 16.1812i | 0.549542 | − | 0.317278i | ||||
\(52\) | −46.0279 | + | 3.78116i | −0.885153 | + | 0.0727145i | ||||
\(53\) | 15.0792 | − | 26.1180i | 0.284513 | − | 0.492792i | −0.687978 | − | 0.725732i | \(-0.741501\pi\) |
0.972491 | + | 0.232940i | \(0.0748346\pi\) | |||||||
\(54\) | −164.453 | + | 6.74349i | −3.04543 | + | 0.124879i | ||||
\(55\) | − | 13.5857i | − | 0.247013i | ||||||
\(56\) | −14.4999 | + | 54.0902i | −0.258927 | + | 0.965897i | ||||
\(57\) | 191.779 | 3.36454 | ||||||||
\(58\) | −0.882563 | − | 21.5230i | −0.0152166 | − | 0.371087i | ||||
\(59\) | −29.1952 | − | 16.8558i | −0.494833 | − | 0.285692i | 0.231744 | − | 0.972777i | \(-0.425557\pi\) |
−0.726577 | + | 0.687085i | \(0.758890\pi\) | |||||||
\(60\) | −4.17135 | − | 50.7778i | −0.0695226 | − | 0.846297i | ||||
\(61\) | −40.4936 | − | 70.1370i | −0.663830 | − | 1.14979i | −0.979601 | − | 0.200952i | \(-0.935596\pi\) |
0.315771 | − | 0.948835i | \(-0.397737\pi\) | |||||||
\(62\) | 15.3129 | − | 29.2264i | 0.246982 | − | 0.471394i | ||||
\(63\) | −22.6987 | − | 162.554i | −0.360296 | − | 2.58022i | ||||
\(64\) | −62.0749 | + | 15.5792i | −0.969920 | + | 0.243425i | ||||
\(65\) | 12.9085 | + | 22.3582i | 0.198593 | + | 0.343973i | ||||
\(66\) | 58.4760 | − | 37.0358i | 0.886000 | − | 0.561148i | ||||
\(67\) | −7.33783 | − | 4.23650i | −0.109520 | − | 0.0632313i | 0.444240 | − | 0.895908i | \(-0.353474\pi\) |
−0.553759 | + | 0.832677i | \(0.686807\pi\) | |||||||
\(68\) | −9.71321 | + | 20.5450i | −0.142841 | + | 0.302132i | ||||
\(69\) | −116.145 | −1.68326 | ||||||||
\(70\) | 30.8007 | − | 5.59598i | 0.440010 | − | 0.0799426i | ||||
\(71\) | 21.6625i | 0.305105i | 0.988295 | + | 0.152553i | \(0.0487494\pi\) | ||||
−0.988295 | + | 0.152553i | \(0.951251\pi\) | |||||||
\(72\) | 149.719 | − | 113.004i | 2.07944 | − | 1.56950i | ||||
\(73\) | −13.0220 | + | 22.5548i | −0.178384 | + | 0.308971i | −0.941327 | − | 0.337495i | \(-0.890420\pi\) |
0.762943 | + | 0.646466i | \(0.223754\pi\) | |||||||
\(74\) | 68.8232 | − | 43.5892i | 0.930043 | − | 0.589043i | ||||
\(75\) | −24.6655 | + | 14.2406i | −0.328873 | + | 0.189875i | ||||
\(76\) | −110.723 | + | 76.6577i | −1.45688 | + | 1.00865i | ||||
\(77\) | 26.1544 | + | 33.5373i | 0.339667 | + | 0.435549i | ||||
\(78\) | −61.0452 | + | 116.512i | −0.782631 | + | 1.49374i | ||||
\(79\) | 7.65825 | − | 4.42149i | 0.0969398 | − | 0.0559682i | −0.450746 | − | 0.892652i | \(-0.648842\pi\) |
0.547686 | + | 0.836684i | \(0.315509\pi\) | |||||||
\(80\) | 22.7052 | + | 27.6491i | 0.283815 | + | 0.345614i | ||||
\(81\) | −128.876 | + | 223.219i | −1.59106 | + | 2.75579i | ||||
\(82\) | 3.37034 | + | 82.1924i | 0.0411017 | + | 1.00235i | ||||
\(83\) | 102.748i | 1.23793i | 0.785420 | + | 0.618963i | \(0.212447\pi\) | ||||
−0.785420 | + | 0.618963i | \(0.787553\pi\) | |||||||
\(84\) | 108.052 | + | 117.318i | 1.28633 | + | 1.39664i | ||||
\(85\) | 12.7039 | 0.149457 | ||||||||
\(86\) | −12.1982 | + | 0.500195i | −0.141840 | + | 0.00581622i | ||||
\(87\) | −53.1323 | − | 30.6760i | −0.610716 | − | 0.352597i | ||||
\(88\) | −18.9571 | + | 44.7565i | −0.215422 | + | 0.508597i | ||||
\(89\) | −26.6044 | − | 46.0801i | −0.298926 | − | 0.517754i | 0.676965 | − | 0.736015i | \(-0.263295\pi\) |
−0.975890 | + | 0.218261i | \(0.929962\pi\) | |||||||
\(90\) | −92.8830 | − | 48.6652i | −1.03203 | − | 0.540724i | ||||
\(91\) | −74.9084 | − | 30.3422i | −0.823169 | − | 0.333430i | ||||
\(92\) | 67.0561 | − | 46.4253i | 0.728870 | − | 0.504623i | ||||
\(93\) | −46.9870 | − | 81.3838i | −0.505236 | − | 0.875094i | ||||
\(94\) | 15.6294 | + | 24.6774i | 0.166270 | + | 0.262525i | ||||
\(95\) | 65.1969 | + | 37.6414i | 0.686283 | + | 0.396226i | ||||
\(96\) | −57.1119 | + | 173.102i | −0.594915 | + | 1.80315i | ||||
\(97\) | −176.818 | −1.82286 | −0.911431 | − | 0.411454i | \(-0.865021\pi\) | ||||
−0.911431 | + | 0.411454i | \(0.865021\pi\) | |||||||
\(98\) | −65.2607 | + | 73.1098i | −0.665926 | + | 0.746018i | ||||
\(99\) | − | 142.459i | − | 1.43898i | ||||||
\(100\) | 8.54834 | − | 18.0811i | 0.0854834 | − | 0.180811i | ||||
\(101\) | −26.1028 | + | 45.2114i | −0.258444 | + | 0.447638i | −0.965825 | − | 0.259194i | \(-0.916543\pi\) |
0.707381 | + | 0.706832i | \(0.249876\pi\) | |||||||
\(102\) | 34.6318 | + | 54.6803i | 0.339527 | + | 0.536082i | ||||
\(103\) | −9.94014 | + | 5.73894i | −0.0965062 | + | 0.0557179i | −0.547476 | − | 0.836821i | \(-0.684411\pi\) |
0.450970 | + | 0.892539i | \(0.351078\pi\) | |||||||
\(104\) | −11.3276 | − | 91.6688i | −0.108919 | − | 0.881430i | ||||
\(105\) | 33.4733 | − | 82.6386i | 0.318794 | − | 0.787034i | ||||
\(106\) | 53.4277 | + | 27.9929i | 0.504035 | + | 0.264084i | ||||
\(107\) | −130.099 | + | 75.1125i | −1.21588 | + | 0.701986i | −0.964033 | − | 0.265783i | \(-0.914370\pi\) |
−0.251842 | + | 0.967768i | \(0.581036\pi\) | |||||||
\(108\) | −26.9513 | − | 328.078i | −0.249549 | − | 3.03776i | ||||
\(109\) | 74.0903 | − | 128.328i | 0.679727 | − | 1.17732i | −0.295335 | − | 0.955394i | \(-0.595431\pi\) |
0.975063 | − | 0.221929i | \(-0.0712353\pi\) | |||||||
\(110\) | 27.1486 | − | 1.11324i | 0.246806 | − | 0.0101204i | ||||
\(111\) | − | 232.024i | − | 2.09031i | ||||||
\(112\) | −109.278 | − | 24.5432i | −0.975694 | − | 0.219135i | ||||
\(113\) | 81.3417 | 0.719838 | 0.359919 | − | 0.932984i | \(-0.382804\pi\) | ||||
0.359919 | + | 0.932984i | \(0.382804\pi\) | |||||||
\(114\) | 15.7148 | + | 383.236i | 0.137849 | + | 3.36172i | ||||
\(115\) | −39.4845 | − | 22.7964i | −0.343343 | − | 0.198229i | ||||
\(116\) | 42.9376 | − | 3.52729i | 0.370152 | − | 0.0304077i | ||||
\(117\) | 135.358 | + | 234.448i | 1.15691 | + | 2.00383i | ||||
\(118\) | 31.2910 | − | 59.7225i | 0.265178 | − | 0.506123i | ||||
\(119\) | −31.3604 | + | 24.4567i | −0.263533 | + | 0.205519i | ||||
\(120\) | 101.129 | − | 12.4965i | 0.842738 | − | 0.104138i | ||||
\(121\) | −42.0428 | − | 72.8203i | −0.347461 | − | 0.601821i | ||||
\(122\) | 136.838 | − | 86.6665i | 1.12162 | − | 0.710381i | ||||
\(123\) | 202.902 | + | 117.146i | 1.64961 | + | 0.952404i | ||||
\(124\) | 59.6585 | + | 28.2052i | 0.481117 | + | 0.227461i | ||||
\(125\) | −11.1803 | −0.0894427 | ||||||||
\(126\) | 322.975 | − | 58.6792i | 2.56330 | − | 0.465708i | ||||
\(127\) | 14.5887i | 0.114872i | 0.998349 | + | 0.0574358i | \(0.0182924\pi\) | ||||
−0.998349 | + | 0.0574358i | \(0.981708\pi\) | |||||||
\(128\) | −36.2188 | − | 122.769i | −0.282959 | − | 0.959132i | ||||
\(129\) | −17.3857 | + | 30.1129i | −0.134773 | + | 0.233433i | ||||
\(130\) | −43.6212 | + | 27.6275i | −0.335548 | + | 0.212519i | ||||
\(131\) | −69.7591 | + | 40.2755i | −0.532513 | + | 0.307446i | −0.742039 | − | 0.670357i | \(-0.766141\pi\) |
0.209526 | + | 0.977803i | \(0.432808\pi\) | |||||||
\(132\) | 78.8010 | + | 113.819i | 0.596977 | + | 0.862265i | ||||
\(133\) | −233.408 | + | 32.5925i | −1.75495 | + | 0.245057i | ||||
\(134\) | 7.86461 | − | 15.0105i | 0.0586911 | − | 0.112019i | ||||
\(135\) | −159.365 | + | 92.0094i | −1.18048 | + | 0.681551i | ||||
\(136\) | −41.8514 | − | 17.7266i | −0.307731 | − | 0.130343i | ||||
\(137\) | 59.2761 | − | 102.669i | 0.432673 | − | 0.749411i | −0.564430 | − | 0.825481i | \(-0.690904\pi\) |
0.997102 | + | 0.0760701i | \(0.0242373\pi\) | |||||||
\(138\) | −9.51716 | − | 232.095i | −0.0689649 | − | 1.68185i | ||||
\(139\) | − | 168.165i | − | 1.20982i | −0.796293 | − | 0.604911i | \(-0.793209\pi\) | ||
0.796293 | − | 0.604911i | \(-0.206791\pi\) | |||||||
\(140\) | 13.7064 | + | 61.0912i | 0.0979031 | + | 0.436366i | ||||
\(141\) | 83.1951 | 0.590036 | ||||||||
\(142\) | −43.2886 | + | 1.77507i | −0.304849 | + | 0.0125005i | ||||
\(143\) | −60.7505 | − | 35.0743i | −0.424829 | − | 0.245275i | ||||
\(144\) | 238.086 | + | 289.928i | 1.65337 | + | 2.01339i | ||||
\(145\) | −12.0419 | − | 20.8571i | −0.0830473 | − | 0.143842i | ||||
\(146\) | −46.1389 | − | 24.1740i | −0.316020 | − | 0.165576i | ||||
\(147\) | 76.4594 | + | 268.440i | 0.520132 | + | 1.82612i | ||||
\(148\) | 92.7447 | + | 133.959i | 0.626653 | + | 0.905128i | ||||
\(149\) | −25.1743 | − | 43.6032i | −0.168955 | − | 0.292639i | 0.769098 | − | 0.639131i | \(-0.220706\pi\) |
−0.938053 | + | 0.346492i | \(0.887373\pi\) | |||||||
\(150\) | −30.4785 | − | 48.1227i | −0.203190 | − | 0.320818i | ||||
\(151\) | −116.615 | − | 67.3276i | −0.772283 | − | 0.445878i | 0.0614052 | − | 0.998113i | \(-0.480442\pi\) |
−0.833689 | + | 0.552235i | \(0.813775\pi\) | |||||||
\(152\) | −162.260 | − | 214.979i | −1.06750 | − | 1.41434i | ||||
\(153\) | 133.212 | 0.870669 | ||||||||
\(154\) | −64.8751 | + | 55.0130i | −0.421267 | + | 0.357227i | ||||
\(155\) | − | 36.8895i | − | 0.237997i | ||||||
\(156\) | −237.830 | − | 112.441i | −1.52455 | − | 0.720773i | ||||
\(157\) | −67.8521 | + | 117.523i | −0.432179 | + | 0.748556i | −0.997061 | − | 0.0766160i | \(-0.975588\pi\) |
0.564882 | + | 0.825172i | \(0.308922\pi\) | |||||||
\(158\) | 9.46309 | + | 14.9413i | 0.0598930 | + | 0.0945654i | ||||
\(159\) | 148.775 | − | 85.8950i | 0.935689 | − | 0.540220i | ||||
\(160\) | −53.3913 | + | 47.6379i | −0.333696 | + | 0.297737i | ||||
\(161\) | 141.356 | − | 19.7386i | 0.877989 | − | 0.122600i | ||||
\(162\) | −456.624 | − | 239.244i | −2.81867 | − | 1.47681i | ||||
\(163\) | 211.132 | − | 121.897i | 1.29529 | − | 0.747836i | 0.315703 | − | 0.948858i | \(-0.397760\pi\) |
0.979587 | + | 0.201023i | \(0.0644264\pi\) | |||||||
\(164\) | −163.971 | + | 13.4700i | −0.999821 | + | 0.0821344i | ||||
\(165\) | 38.6939 | − | 67.0197i | 0.234508 | − | 0.406180i | ||||
\(166\) | −205.323 | + | 8.41938i | −1.23689 | + | 0.0507192i | ||||
\(167\) | 258.678i | 1.54897i | 0.632592 | + | 0.774485i | \(0.281991\pi\) | ||||
−0.632592 | + | 0.774485i | \(0.718009\pi\) | |||||||
\(168\) | −225.585 | + | 225.535i | −1.34277 | + | 1.34247i | ||||
\(169\) | −35.6957 | −0.211217 | ||||||||
\(170\) | 1.04098 | + | 25.3864i | 0.00612343 | + | 0.149332i | ||||
\(171\) | 683.652 | + | 394.707i | 3.99797 | + | 2.30823i | ||||
\(172\) | −1.99910 | − | 24.3350i | −0.0116227 | − | 0.141483i | ||||
\(173\) | 134.127 | + | 232.314i | 0.775298 | + | 1.34286i | 0.934627 | + | 0.355630i | \(0.115734\pi\) |
−0.159329 | + | 0.987226i | \(0.550933\pi\) | |||||||
\(174\) | 56.9466 | − | 108.689i | 0.327279 | − | 0.624650i | ||||
\(175\) | 27.5995 | − | 21.5237i | 0.157711 | − | 0.122993i | ||||
\(176\) | −90.9912 | − | 34.2149i | −0.516996 | − | 0.194403i | ||||
\(177\) | −96.0151 | − | 166.303i | −0.542458 | − | 0.939566i | ||||
\(178\) | 89.9029 | − | 56.9400i | 0.505072 | − | 0.319887i | ||||
\(179\) | 92.2843 | + | 53.2804i | 0.515555 | + | 0.297656i | 0.735114 | − | 0.677943i | \(-0.237129\pi\) |
−0.219559 | + | 0.975599i | \(0.570462\pi\) | |||||||
\(180\) | 89.6376 | − | 189.598i | 0.497987 | − | 1.05332i | ||||
\(181\) | 196.840 | 1.08751 | 0.543757 | − | 0.839243i | \(-0.317001\pi\) | ||||
0.543757 | + | 0.839243i | \(0.317001\pi\) | |||||||
\(182\) | 54.4952 | − | 152.177i | 0.299424 | − | 0.836139i | ||||
\(183\) | − | 461.324i | − | 2.52090i | ||||||
\(184\) | 98.2674 | + | 130.195i | 0.534062 | + | 0.707583i | ||||
\(185\) | 45.5407 | − | 78.8787i | 0.246166 | − | 0.426372i | ||||
\(186\) | 158.781 | − | 100.564i | 0.853660 | − | 0.540665i | ||||
\(187\) | −29.8937 | + | 17.2591i | −0.159859 | + | 0.0922947i | ||||
\(188\) | −48.0326 | + | 33.2547i | −0.255492 | + | 0.176887i | ||||
\(189\) | 216.273 | − | 533.931i | 1.14430 | − | 2.82503i | ||||
\(190\) | −69.8773 | + | 133.369i | −0.367775 | + | 0.701941i | ||||
\(191\) | −195.258 | + | 112.732i | −1.02229 | + | 0.590222i | −0.914768 | − | 0.403980i | \(-0.867626\pi\) |
−0.107527 | + | 0.994202i | \(0.534293\pi\) | |||||||
\(192\) | −350.593 | − | 99.9434i | −1.82601 | − | 0.520539i | ||||
\(193\) | −92.9293 | + | 160.958i | −0.481499 | + | 0.833980i | −0.999775 | − | 0.0212332i | \(-0.993241\pi\) |
0.518276 | + | 0.855214i | \(0.326574\pi\) | |||||||
\(194\) | −14.4888 | − | 353.338i | −0.0746846 | − | 1.82133i | ||||
\(195\) | 147.061i | 0.754157i | ||||||||
\(196\) | −151.444 | − | 124.421i | −0.772675 | − | 0.634802i | ||||
\(197\) | 12.5230 | 0.0635684 | 0.0317842 | − | 0.999495i | \(-0.489881\pi\) | ||||
0.0317842 | + | 0.999495i | \(0.489881\pi\) | |||||||
\(198\) | 284.679 | − | 11.6734i | 1.43777 | − | 0.0589567i | ||||
\(199\) | −125.106 | − | 72.2299i | −0.628672 | − | 0.362964i | 0.151565 | − | 0.988447i | \(-0.451569\pi\) |
−0.780238 | + | 0.625483i | \(0.784902\pi\) | |||||||
\(200\) | 36.8323 | + | 15.6007i | 0.184161 | + | 0.0780036i | ||||
\(201\) | −24.1322 | − | 41.7982i | −0.120061 | − | 0.207951i | ||||
\(202\) | −92.4858 | − | 48.4571i | −0.457851 | − | 0.239887i | ||||
\(203\) | 69.8790 | + | 28.3050i | 0.344232 | + | 0.139433i | ||||
\(204\) | −106.431 | + | 73.6860i | −0.521721 | + | 0.361206i | ||||
\(205\) | 45.9856 | + | 79.6494i | 0.224320 | + | 0.388533i | ||||
\(206\) | −12.2828 | − | 19.3933i | −0.0596251 | − | 0.0941424i | ||||
\(207\) | −414.033 | − | 239.042i | −2.00016 | − | 1.15479i | ||||
\(208\) | 182.255 | − | 30.1477i | 0.876228 | − | 0.144941i | ||||
\(209\) | −204.554 | −0.978729 | ||||||||
\(210\) | 167.881 | + | 60.1189i | 0.799434 | + | 0.286280i | ||||
\(211\) | 66.6431i | 0.315844i | 0.987452 | + | 0.157922i | \(0.0504794\pi\) | ||||
−0.987452 | + | 0.157922i | \(0.949521\pi\) | |||||||
\(212\) | −51.5609 | + | 109.059i | −0.243212 | + | 0.514431i | ||||
\(213\) | −61.6975 | + | 106.863i | −0.289660 | + | 0.501705i | ||||
\(214\) | −160.759 | − | 253.824i | −0.751212 | − | 1.18609i | ||||
\(215\) | −11.8208 | + | 6.82476i | −0.0549806 | + | 0.0317431i | ||||
\(216\) | 653.396 | − | 80.7407i | 3.02498 | − | 0.373800i | ||||
\(217\) | 71.0174 | + | 91.0643i | 0.327269 | + | 0.419651i | ||||
\(218\) | 262.512 | + | 137.541i | 1.20418 | + | 0.630921i | ||||
\(219\) | −128.478 | + | 74.1769i | −0.586658 | + | 0.338707i | ||||
\(220\) | 4.44923 | + | 54.1604i | 0.0202238 | + | 0.246184i | ||||
\(221\) | 32.7977 | − | 56.8073i | 0.148406 | − | 0.257046i | ||||
\(222\) | 463.659 | − | 19.0126i | 2.08856 | − | 0.0856423i | ||||
\(223\) | 185.958i | 0.833890i | 0.908932 | + | 0.416945i | \(0.136899\pi\) | ||||
−0.908932 | + | 0.416945i | \(0.863101\pi\) | |||||||
\(224\) | 40.0906 | − | 220.383i | 0.178976 | − | 0.983853i | ||||
\(225\) | −117.237 | −0.521052 | ||||||||
\(226\) | 6.66532 | + | 162.547i | 0.0294925 | + | 0.719234i | ||||
\(227\) | 48.2438 | + | 27.8535i | 0.212528 | + | 0.122703i | 0.602485 | − | 0.798130i | \(-0.294177\pi\) |
−0.389958 | + | 0.920833i | \(0.627510\pi\) | |||||||
\(228\) | −764.540 | + | 62.8063i | −3.35325 | + | 0.275466i | ||||
\(229\) | 1.35922 | + | 2.35423i | 0.00593544 | + | 0.0102805i | 0.868978 | − | 0.494851i | \(-0.164777\pi\) |
−0.863042 | + | 0.505131i | \(0.831444\pi\) | |||||||
\(230\) | 42.3190 | − | 80.7706i | 0.183996 | − | 0.351176i | ||||
\(231\) | 33.5038 | + | 239.934i | 0.145038 | + | 1.03868i | ||||
\(232\) | 10.5671 | + | 85.5141i | 0.0455477 | + | 0.368595i | ||||
\(233\) | −31.2928 | − | 54.2008i | −0.134304 | − | 0.232621i | 0.791027 | − | 0.611781i | \(-0.209547\pi\) |
−0.925331 | + | 0.379159i | \(0.876213\pi\) | |||||||
\(234\) | −457.410 | + | 289.701i | −1.95474 | + | 1.23804i | ||||
\(235\) | 28.2829 | + | 16.3291i | 0.120353 | + | 0.0694857i | ||||
\(236\) | 121.909 | + | 57.6358i | 0.516563 | + | 0.244219i | ||||
\(237\) | 50.3719 | 0.212540 | ||||||||
\(238\) | −51.4421 | − | 60.6641i | −0.216143 | − | 0.254891i | ||||
\(239\) | 53.3613i | 0.223269i | 0.993749 | + | 0.111634i | \(0.0356086\pi\) | ||||
−0.993749 | + | 0.111634i | \(0.964391\pi\) | |||||||
\(240\) | 33.2588 | + | 201.063i | 0.138578 | + | 0.837764i | ||||
\(241\) | 13.4004 | − | 23.2102i | 0.0556033 | − | 0.0963077i | −0.836884 | − | 0.547380i | \(-0.815625\pi\) |
0.892487 | + | 0.451073i | \(0.148958\pi\) | |||||||
\(242\) | 142.073 | − | 89.9821i | 0.587080 | − | 0.371827i | ||||
\(243\) | −630.082 | + | 363.778i | −2.59293 | + | 1.49703i | ||||
\(244\) | 184.400 | + | 266.345i | 0.755738 | + | 1.09158i | ||||
\(245\) | −26.6951 | + | 106.266i | −0.108959 | + | 0.433737i | ||||
\(246\) | −217.468 | + | 415.063i | −0.884017 | + | 1.68725i | ||||
\(247\) | 336.639 | − | 194.358i | 1.36291 | − | 0.786876i | ||||
\(248\) | −51.4745 | + | 121.528i | −0.207559 | + | 0.490032i | ||||
\(249\) | −292.639 | + | 506.866i | −1.17526 | + | 2.03561i | ||||
\(250\) | −0.916141 | − | 22.3419i | −0.00366456 | − | 0.0893676i | ||||
\(251\) | − | 36.4631i | − | 0.145271i | −0.997359 | − | 0.0726356i | \(-0.976859\pi\) | ||
0.997359 | − | 0.0726356i | \(-0.0231410\pi\) | |||||||
\(252\) | 143.725 | + | 640.600i | 0.570338 | + | 2.54206i | ||||
\(253\) | 123.882 | 0.489652 | ||||||||
\(254\) | −29.1529 | + | 1.19543i | −0.114775 | + | 0.00470641i | ||||
\(255\) | 62.6695 | + | 36.1823i | 0.245763 | + | 0.141891i | ||||
\(256\) | 242.364 | − | 82.4366i | 0.946734 | − | 0.322018i | ||||
\(257\) | −153.385 | − | 265.671i | −0.596829 | − | 1.03374i | −0.993286 | − | 0.115684i | \(-0.963094\pi\) |
0.396457 | − | 0.918053i | \(-0.370239\pi\) | |||||||
\(258\) | −61.5998 | − | 32.2747i | −0.238759 | − | 0.125096i | ||||
\(259\) | 39.4322 | + | 282.390i | 0.152248 | + | 1.09031i | ||||
\(260\) | −58.7830 | − | 84.9053i | −0.226088 | − | 0.326559i | ||||
\(261\) | −126.271 | − | 218.707i | −0.483795 | − | 0.837958i | ||||
\(262\) | −86.1995 | − | 136.101i | −0.329006 | − | 0.519469i | ||||
\(263\) | 398.549 | + | 230.102i | 1.51539 | + | 0.874914i | 0.999837 | + | 0.0180589i | \(0.00574865\pi\) |
0.515558 | + | 0.856855i | \(0.327585\pi\) | |||||||
\(264\) | −220.990 | + | 166.796i | −0.837082 | + | 0.631804i | ||||
\(265\) | 67.4363 | 0.254477 | ||||||||
\(266\) | −84.2563 | − | 463.754i | −0.316753 | − | 1.74343i | ||||
\(267\) | − | 303.091i | − | 1.13517i | ||||||
\(268\) | 30.6402 | + | 14.4860i | 0.114329 | + | 0.0540523i | ||||
\(269\) | −127.202 | + | 220.320i | −0.472870 | + | 0.819035i | −0.999518 | − | 0.0310488i | \(-0.990115\pi\) |
0.526648 | + | 0.850083i | \(0.323449\pi\) | |||||||
\(270\) | −196.923 | − | 310.923i | −0.729344 | − | 1.15157i | ||||
\(271\) | 399.058 | − | 230.396i | 1.47254 | − | 0.850171i | 0.473016 | − | 0.881054i | \(-0.343165\pi\) |
0.999523 | + | 0.0308829i | \(0.00983189\pi\) | |||||||
\(272\) | 31.9941 | − | 85.0850i | 0.117625 | − | 0.312813i | ||||
\(273\) | −283.112 | − | 363.030i | −1.03704 | − | 1.32978i | ||||
\(274\) | 210.023 | + | 110.040i | 0.766509 | + | 0.401605i | ||||
\(275\) | 26.3086 | − | 15.1893i | 0.0956677 | − | 0.0552338i | ||||
\(276\) | 463.020 | − | 38.0367i | 1.67761 | − | 0.137814i | ||||
\(277\) | −264.219 | + | 457.641i | −0.953860 | + | 1.65213i | −0.216903 | + | 0.976193i | \(0.569596\pi\) |
−0.736956 | + | 0.675940i | \(0.763738\pi\) | |||||||
\(278\) | 336.048 | − | 13.7798i | 1.20881 | − | 0.0495677i | ||||
\(279\) | − | 386.822i | − | 1.38646i | ||||||
\(280\) | −120.957 | + | 32.3958i | −0.431988 | + | 0.115699i | ||||
\(281\) | 495.355 | 1.76283 | 0.881415 | − | 0.472344i | \(-0.156592\pi\) | ||||
0.881415 | + | 0.472344i | \(0.156592\pi\) | |||||||
\(282\) | 6.81719 | + | 166.251i | 0.0241744 | + | 0.589541i | ||||
\(283\) | −37.3080 | − | 21.5398i | −0.131830 | − | 0.0761123i | 0.432634 | − | 0.901569i | \(-0.357584\pi\) |
−0.564465 | + | 0.825457i | \(0.690917\pi\) | |||||||
\(284\) | −7.09432 | − | 86.3590i | −0.0249800 | − | 0.304081i | ||||
\(285\) | 214.415 | + | 371.378i | 0.752334 | + | 1.30308i | ||||
\(286\) | 65.1118 | − | 124.273i | 0.227663 | − | 0.434521i | ||||
\(287\) | −266.855 | − | 108.091i | −0.929807 | − | 0.376625i | ||||
\(288\) | −559.859 | + | 499.529i | −1.94396 | + | 1.73448i | ||||
\(289\) | 128.361 | + | 222.328i | 0.444156 | + | 0.769301i | ||||
\(290\) | 40.6925 | − | 25.7726i | 0.140319 | − | 0.0888710i | ||||
\(291\) | −872.259 | − | 503.599i | −2.99745 | − | 1.73058i | ||||
\(292\) | 44.5268 | − | 94.1811i | 0.152489 | − | 0.322538i | ||||
\(293\) | 138.208 | 0.471700 | 0.235850 | − | 0.971789i | \(-0.424213\pi\) | ||||
0.235850 | + | 0.971789i | \(0.424213\pi\) | |||||||
\(294\) | −530.164 | + | 174.787i | −1.80328 | + | 0.594514i | ||||
\(295\) | − | 75.3816i | − | 0.255531i | ||||||
\(296\) | −260.093 | + | 196.310i | −0.878694 | + | 0.663211i | ||||
\(297\) | 250.003 | − | 433.017i | 0.841760 | − | 1.45797i | ||||
\(298\) | 85.0704 | − | 53.8794i | 0.285471 | − | 0.180803i | ||||
\(299\) | −203.875 | + | 117.707i | −0.681855 | + | 0.393669i | ||||
\(300\) | 93.6671 | − | 64.8491i | 0.312224 | − | 0.216164i | ||||
\(301\) | 16.0419 | − | 39.6041i | 0.0532955 | − | 0.131575i | ||||
\(302\) | 124.986 | − | 238.551i | 0.413862 | − | 0.789903i | ||||
\(303\) | −257.536 | + | 148.688i | −0.849953 | + | 0.490721i | ||||
\(304\) | 416.301 | − | 341.863i | 1.36941 | − | 1.12455i | ||||
\(305\) | 90.5465 | − | 156.831i | 0.296874 | − | 0.514201i | ||||
\(306\) | 10.9157 | + | 266.201i | 0.0356722 | + | 0.869938i | ||||
\(307\) | 51.7152i | 0.168453i | 0.996447 | + | 0.0842267i | \(0.0268420\pi\) | ||||
−0.996447 | + | 0.0842267i | \(0.973158\pi\) | |||||||
\(308\) | −115.250 | − | 125.133i | −0.374187 | − | 0.406277i | ||||
\(309\) | −65.3810 | −0.211589 | ||||||||
\(310\) | 73.7171 | − | 3.02280i | 0.237797 | − | 0.00975098i | ||||
\(311\) | −367.714 | − | 212.300i | −1.18236 | − | 0.682637i | −0.225802 | − | 0.974173i | \(-0.572500\pi\) |
−0.956560 | + | 0.291537i | \(0.905834\pi\) | |||||||
\(312\) | 205.204 | − | 484.474i | 0.657706 | − | 1.55280i | ||||
\(313\) | −9.08660 | − | 15.7385i | −0.0290307 | − | 0.0502826i | 0.851145 | − | 0.524931i | \(-0.175909\pi\) |
−0.880176 | + | 0.474648i | \(0.842575\pi\) | |||||||
\(314\) | −240.409 | − | 125.960i | −0.765634 | − | 0.401147i | ||||
\(315\) | 289.407 | − | 225.697i | 0.918752 | − | 0.716498i | ||||
\(316\) | −29.0821 | + | 20.1346i | −0.0920321 | + | 0.0637171i | ||||
\(317\) | 253.390 | + | 438.884i | 0.799337 | + | 1.38449i | 0.920048 | + | 0.391805i | \(0.128149\pi\) |
−0.120711 | + | 0.992688i | \(0.538518\pi\) | |||||||
\(318\) | 183.837 | + | 290.261i | 0.578103 | + | 0.912770i | ||||
\(319\) | 56.6718 | + | 32.7195i | 0.177654 | + | 0.102569i | ||||
\(320\) | −99.5708 | − | 102.789i | −0.311159 | − | 0.321217i | ||||
\(321\) | −855.720 | −2.66579 | ||||||||
\(322\) | 51.0272 | + | 280.858i | 0.158470 | + | 0.872229i | ||||
\(323\) | − | 191.277i | − | 0.592188i | ||||||
\(324\) | 440.669 | − | 932.085i | 1.36009 | − | 2.87681i | ||||
\(325\) | −28.8644 | + | 49.9946i | −0.0888134 | + | 0.153829i | ||||
\(326\) | 260.890 | + | 411.921i | 0.800277 | + | 1.26356i | ||||
\(327\) | 730.990 | − | 422.037i | 2.23544 | − | 1.29063i | ||||
\(328\) | −40.3536 | − | 326.562i | −0.123029 | − | 0.995616i | ||||
\(329\) | −101.254 | + | 14.1389i | −0.307764 | + | 0.0429753i | ||||
\(330\) | 137.098 | + | 71.8310i | 0.415447 | + | 0.217670i | ||||
\(331\) | 403.045 | − | 232.698i | 1.21766 | − | 0.703015i | 0.253241 | − | 0.967403i | \(-0.418503\pi\) |
0.964416 | + | 0.264388i | \(0.0851700\pi\) | |||||||
\(332\) | −33.6493 | − | 409.612i | −0.101353 | − | 1.23377i | ||||
\(333\) | 477.538 | − | 827.120i | 1.43405 | − | 2.48384i | ||||
\(334\) | −516.922 | + | 21.1966i | −1.54767 | + | 0.0634630i | ||||
\(335\) | − | 18.9462i | − | 0.0565558i | ||||||
\(336\) | −469.176 | − | 432.311i | −1.39636 | − | 1.28664i | ||||
\(337\) | −370.888 | −1.10056 | −0.550278 | − | 0.834981i | \(-0.685478\pi\) | ||||
−0.550278 | + | 0.834981i | \(0.685478\pi\) | |||||||
\(338\) | −2.92498 | − | 71.3315i | −0.00865380 | − | 0.211040i | ||||
\(339\) | 401.267 | + | 231.672i | 1.18368 | + | 0.683397i | ||||
\(340\) | −50.6449 | + | 4.16043i | −0.148956 | + | 0.0122366i | ||||
\(341\) | 50.1170 | + | 86.8052i | 0.146971 | + | 0.254561i | ||||
\(342\) | −732.731 | + | 1398.50i | −2.14249 | + | 4.08918i | ||||
\(343\) | −138.677 | − | 313.716i | −0.404307 | − | 0.914623i | ||||
\(344\) | 48.4654 | − | 5.98891i | 0.140888 | − | 0.0174096i | ||||
\(345\) | −129.854 | − | 224.914i | −0.376388 | − | 0.651923i | ||||
\(346\) | −453.247 | + | 287.064i | −1.30996 | + | 0.829665i | ||||
\(347\) | −52.3973 | − | 30.2516i | −0.151001 | − | 0.0871804i | 0.422596 | − | 0.906318i | \(-0.361119\pi\) |
−0.573597 | + | 0.819138i | \(0.694452\pi\) | |||||||
\(348\) | 221.862 | + | 104.891i | 0.637534 | + | 0.301412i | ||||
\(349\) | 419.084 | 1.20081 | 0.600406 | − | 0.799695i | \(-0.295006\pi\) | ||||
0.600406 | + | 0.799695i | \(0.295006\pi\) | |||||||
\(350\) | 45.2728 | + | 53.3889i | 0.129351 | + | 0.152540i | ||||
\(351\) | 950.165i | 2.70702i | ||||||||
\(352\) | 60.9164 | − | 184.633i | 0.173058 | − | 0.524527i | ||||
\(353\) | −279.568 | + | 484.226i | −0.791977 | + | 1.37174i | 0.132764 | + | 0.991148i | \(0.457615\pi\) |
−0.924741 | + | 0.380597i | \(0.875719\pi\) | |||||||
\(354\) | 324.459 | − | 205.496i | 0.916552 | − | 0.580498i | ||||
\(355\) | −41.9492 | + | 24.2194i | −0.118167 | + | 0.0682236i | ||||
\(356\) | 121.151 | + | 174.989i | 0.340312 | + | 0.491542i | ||||
\(357\) | −224.360 | + | 31.3291i | −0.628459 | + | 0.0877565i | ||||
\(358\) | −98.9093 | + | 188.780i | −0.276283 | + | 0.527317i | ||||
\(359\) | 559.064 | − | 322.776i | 1.55728 | − | 0.899097i | 0.559765 | − | 0.828651i | \(-0.310891\pi\) |
0.997516 | − | 0.0704454i | \(-0.0224421\pi\) | |||||||
\(360\) | 386.222 | + | 163.589i | 1.07284 | + | 0.454413i | ||||
\(361\) | 386.251 | − | 669.007i | 1.06995 | − | 1.85321i | ||||
\(362\) | 16.1295 | + | 393.350i | 0.0445566 | + | 1.08660i | ||||
\(363\) | − | 478.973i | − | 1.31949i | ||||||
\(364\) | 308.564 | + | 96.4292i | 0.847704 | + | 0.264915i | ||||
\(365\) | −58.2364 | −0.159552 | ||||||||
\(366\) | 921.874 | − | 37.8019i | 2.51878 | − | 0.103284i | ||||
\(367\) | −167.226 | − | 96.5482i | −0.455658 | − | 0.263074i | 0.254559 | − | 0.967057i | \(-0.418070\pi\) |
−0.710217 | + | 0.703983i | \(0.751403\pi\) | |||||||
\(368\) | −252.120 | + | 207.038i | −0.685108 | + | 0.562604i | ||||
\(369\) | 482.203 | + | 835.200i | 1.30678 | + | 2.26342i | ||||
\(370\) | 161.357 | + | 84.5414i | 0.436099 | + | 0.228490i | ||||
\(371\) | −166.471 | + | 129.824i | −0.448709 | + | 0.349931i | ||||
\(372\) | 213.969 | + | 309.054i | 0.575187 | + | 0.830791i | ||||
\(373\) | −157.421 | − | 272.661i | −0.422040 | − | 0.730995i | 0.574099 | − | 0.818786i | \(-0.305352\pi\) |
−0.996139 | + | 0.0877913i | \(0.972019\pi\) | |||||||
\(374\) | −36.9388 | − | 58.3229i | −0.0987669 | − | 0.155944i | ||||
\(375\) | −55.1538 | − | 31.8430i | −0.147077 | − | 0.0849148i | ||||
\(376\) | −70.3894 | − | 93.2595i | −0.187206 | − | 0.248031i | ||||
\(377\) | −124.354 | −0.329852 | ||||||||
\(378\) | 1084.69 | + | 388.431i | 2.86954 | + | 1.02759i | ||||
\(379\) | 660.417i | 1.74252i | 0.490818 | + | 0.871262i | \(0.336698\pi\) | ||||
−0.490818 | + | 0.871262i | \(0.663302\pi\) | |||||||
\(380\) | −272.239 | − | 128.709i | −0.716419 | − | 0.338707i | ||||
\(381\) | −41.5504 | + | 71.9675i | −0.109056 | + | 0.188891i | ||||
\(382\) | −241.275 | − | 380.951i | −0.631611 | − | 0.997254i | ||||
\(383\) | −314.240 | + | 181.427i | −0.820471 | + | 0.473699i | −0.850579 | − | 0.525848i | \(-0.823748\pi\) |
0.0301079 | + | 0.999547i | \(0.490415\pi\) | |||||||
\(384\) | 170.991 | − | 708.787i | 0.445288 | − | 1.84580i | ||||
\(385\) | −35.7032 | + | 88.1436i | −0.0927356 | + | 0.228944i | ||||
\(386\) | −329.261 | − | 172.513i | −0.853008 | − | 0.446925i | ||||
\(387\) | −123.953 | + | 71.5642i | −0.320291 | + | 0.184920i | ||||
\(388\) | 704.896 | − | 57.9066i | 1.81674 | − | 0.149244i | ||||
\(389\) | −122.135 | + | 211.545i | −0.313973 | + | 0.543817i | −0.979219 | − | 0.202808i | \(-0.934993\pi\) |
0.665246 | + | 0.746624i | \(0.268327\pi\) | |||||||
\(390\) | −293.874 | + | 12.0505i | −0.753524 | + | 0.0308986i | ||||
\(391\) | 115.841i | 0.296268i | ||||||||
\(392\) | 236.224 | − | 312.830i | 0.602611 | − | 0.798035i | ||||
\(393\) | −458.839 | −1.16753 | ||||||||
\(394\) | 1.02616 | + | 25.0249i | 0.00260446 | + | 0.0635150i | ||||
\(395\) | 17.1244 | + | 9.88675i | 0.0433528 | + | 0.0250298i | ||||
\(396\) | 46.6545 | + | 567.924i | 0.117814 | + | 1.43415i | ||||
\(397\) | −263.260 | − | 455.979i | −0.663123 | − | 1.14856i | −0.979791 | − | 0.200026i | \(-0.935897\pi\) |
0.316668 | − | 0.948536i | \(-0.397436\pi\) | |||||||
\(398\) | 134.087 | − | 255.920i | 0.336902 | − | 0.643015i | ||||
\(399\) | −1244.25 | − | 503.994i | −3.11843 | − | 1.26314i | ||||
\(400\) | −28.1571 | + | 74.8811i | −0.0703928 | + | 0.187203i | ||||
\(401\) | 128.106 | + | 221.885i | 0.319465 | + | 0.553330i | 0.980377 | − | 0.197134i | \(-0.0631633\pi\) |
−0.660911 | + | 0.750464i | \(0.729830\pi\) | |||||||
\(402\) | 81.5487 | − | 51.6489i | 0.202857 | − | 0.128480i | ||||
\(403\) | −164.957 | − | 95.2379i | −0.409322 | − | 0.236322i | ||||
\(404\) | 89.2543 | − | 188.787i | 0.220927 | − | 0.467295i | ||||
\(405\) | −576.349 | −1.42309 | ||||||||
\(406\) | −50.8364 | + | 141.960i | −0.125213 | + | 0.349655i | ||||
\(407\) | 247.481i | 0.608061i | ||||||||
\(408\) | −155.969 | − | 206.645i | −0.382278 | − | 0.506484i | ||||
\(409\) | 161.101 | − | 279.035i | 0.393890 | − | 0.682237i | −0.599069 | − | 0.800697i | \(-0.704463\pi\) |
0.992959 | + | 0.118460i | \(0.0377959\pi\) | |||||||
\(410\) | −155.397 | + | 98.4206i | −0.379017 | + | 0.240050i | ||||
\(411\) | 584.831 | − | 337.652i | 1.42295 | − | 0.821538i | ||||
\(412\) | 37.7476 | − | 26.1340i | 0.0916204 | − | 0.0634321i | ||||
\(413\) | 145.120 | + | 186.085i | 0.351380 | + | 0.450568i | ||||
\(414\) | 443.755 | − | 846.957i | 1.07187 | − | 2.04579i | ||||
\(415\) | −198.970 | + | 114.876i | −0.479447 | + | 0.276809i | ||||
\(416\) | 75.1792 | + | 361.734i | 0.180719 | + | 0.869554i | ||||
\(417\) | 478.956 | − | 829.576i | 1.14858 | − | 1.98939i | ||||
\(418\) | −16.7616 | − | 408.765i | −0.0400996 | − | 0.977907i | ||||
\(419\) | 492.233i | 1.17478i | 0.809304 | + | 0.587391i | \(0.199845\pi\) | ||||
−0.809304 | + | 0.587391i | \(0.800155\pi\) | |||||||
\(420\) | −106.380 | + | 340.407i | −0.253286 | + | 0.810492i | ||||
\(421\) | 137.943 | 0.327656 | 0.163828 | − | 0.986489i | \(-0.447616\pi\) | ||||
0.163828 | + | 0.986489i | \(0.447616\pi\) | |||||||
\(422\) | −133.174 | + | 5.46088i | −0.315579 | + | 0.0129405i | ||||
\(423\) | 296.574 | + | 171.227i | 0.701119 | + | 0.404791i | ||||
\(424\) | −222.161 | − | 94.0986i | −0.523964 | − | 0.221931i | ||||
\(425\) | 14.2034 | + | 24.6009i | 0.0334197 | + | 0.0578846i | ||||
\(426\) | −218.603 | − | 114.535i | −0.513152 | − | 0.268861i | ||||
\(427\) | 78.4014 | + | 561.463i | 0.183610 | + | 1.31490i | ||||
\(428\) | 494.049 | − | 342.048i | 1.15432 | − | 0.799177i | ||||
\(429\) | −199.792 | − | 346.051i | −0.465717 | − | 0.806645i | ||||
\(430\) | −14.6067 | − | 23.0626i | −0.0339690 | − | 0.0536339i | ||||
\(431\) | 140.916 | + | 81.3578i | 0.326951 | + | 0.188765i | 0.654487 | − | 0.756074i | \(-0.272885\pi\) |
−0.327536 | + | 0.944839i | \(0.606218\pi\) | |||||||
\(432\) | 214.886 | + | 1299.08i | 0.497422 | + | 3.00713i | ||||
\(433\) | 816.898 | 1.88660 | 0.943300 | − | 0.331940i | \(-0.107703\pi\) | ||||
0.943300 | + | 0.331940i | \(0.107703\pi\) | |||||||
\(434\) | −176.156 | + | 149.378i | −0.405890 | + | 0.344188i | ||||
\(435\) | − | 137.187i | − | 0.315373i | ||||||
\(436\) | −253.340 | + | 535.853i | −0.581054 | + | 1.22902i | ||||
\(437\) | −343.235 | + | 594.501i | −0.785435 | + | 1.36041i | ||||
\(438\) | −158.757 | − | 250.662i | −0.362459 | − | 0.572289i | ||||
\(439\) | 306.378 | − | 176.888i | 0.697901 | − | 0.402933i | −0.108664 | − | 0.994078i | \(-0.534657\pi\) |
0.806565 | + | 0.591145i | \(0.201324\pi\) | |||||||
\(440\) | −107.865 | + | 13.3290i | −0.245148 | + | 0.0302932i | ||||
\(441\) | −279.923 | + | 1114.30i | −0.634747 | + | 2.52675i | ||||
\(442\) | 116.207 | + | 60.8854i | 0.262911 | + | 0.137750i | ||||
\(443\) | −29.0873 | + | 16.7936i | −0.0656599 | + | 0.0379087i | −0.532471 | − | 0.846449i | \(-0.678736\pi\) |
0.466811 | + | 0.884357i | \(0.345403\pi\) | |||||||
\(444\) | 75.9865 | + | 924.982i | 0.171141 | + | 2.08329i | ||||
\(445\) | 59.4892 | − | 103.038i | 0.133684 | − | 0.231547i | ||||
\(446\) | −371.603 | + | 15.2378i | −0.833190 | + | 0.0341654i | ||||
\(447\) | − | 286.799i | − | 0.641609i | ||||||
\(448\) | 443.681 | + | 62.0553i | 0.990360 | + | 0.138516i | ||||
\(449\) | −447.816 | −0.997362 | −0.498681 | − | 0.866785i | \(-0.666182\pi\) | ||||
−0.498681 | + | 0.866785i | \(0.666182\pi\) | |||||||
\(450\) | −9.60662 | − | 234.276i | −0.0213481 | − | 0.520614i | ||||
\(451\) | −216.419 | − | 124.949i | −0.479864 | − | 0.277050i | ||||
\(452\) | −324.275 | + | 26.6389i | −0.717422 | + | 0.0589356i | ||||
\(453\) | −383.515 | − | 664.268i | −0.846612 | − | 1.46637i | ||||
\(454\) | −51.7071 | + | 98.6889i | −0.113892 | + | 0.217376i | ||||
\(455\) | −24.9927 | − | 178.983i | −0.0549291 | − | 0.393369i | ||||
\(456\) | −188.155 | − | 1522.65i | −0.412621 | − | 3.33914i | ||||
\(457\) | −182.498 | − | 316.096i | −0.399340 | − | 0.691676i | 0.594305 | − | 0.804240i | \(-0.297427\pi\) |
−0.993645 | + | 0.112563i | \(0.964094\pi\) | |||||||
\(458\) | −4.59313 | + | 2.90906i | −0.0100287 | + | 0.00635166i | ||||
\(459\) | 404.910 | + | 233.775i | 0.882157 | + | 0.509314i | ||||
\(460\) | 164.873 | + | 77.9484i | 0.358420 | + | 0.169453i | ||||
\(461\) | −41.1257 | −0.0892098 | −0.0446049 | − | 0.999005i | \(-0.514203\pi\) | ||||
−0.0446049 | + | 0.999005i | \(0.514203\pi\) | |||||||
\(462\) | −476.720 | + | 86.6120i | −1.03186 | + | 0.187472i | ||||
\(463\) | 71.6681i | 0.154791i | 0.997000 | + | 0.0773953i | \(0.0246604\pi\) | ||||
−0.997000 | + | 0.0773953i | \(0.975340\pi\) | |||||||
\(464\) | −170.019 | + | 28.1236i | −0.366420 | + | 0.0606112i | ||||
\(465\) | 105.066 | − | 181.980i | 0.225948 | − | 0.391354i | ||||
\(466\) | 105.746 | − | 66.9745i | 0.226923 | − | 0.143722i | ||||
\(467\) | 474.607 | − | 274.014i | 1.01629 | − | 0.586755i | 0.103262 | − | 0.994654i | \(-0.467072\pi\) |
0.913027 | + | 0.407900i | \(0.133739\pi\) | |||||||
\(468\) | −616.396 | − | 890.314i | −1.31709 | − | 1.90238i | ||||
\(469\) | 36.4741 | + | 46.7700i | 0.0777699 | + | 0.0997229i | ||||
\(470\) | −30.3133 | + | 57.8564i | −0.0644964 | + | 0.123099i | ||||
\(471\) | −669.443 | + | 386.503i | −1.42132 | + | 0.820601i | ||||
\(472\) | −105.185 | + | 248.336i | −0.222850 | + | 0.526135i | ||||
\(473\) | 18.5438 | − | 32.1189i | 0.0392047 | − | 0.0679046i | ||||
\(474\) | 4.12758 | + | 100.659i | 0.00870798 | + | 0.212361i | ||||
\(475\) | 168.338i | 0.354395i | ||||||||
\(476\) | 117.011 | − | 107.769i | 0.245822 | − | 0.226405i | ||||
\(477\) | 707.134 | 1.48246 | ||||||||
\(478\) | −106.633 | + | 4.37254i | −0.223081 | + | 0.00914757i | ||||
\(479\) | −446.814 | − | 257.968i | −0.932805 | − | 0.538555i | −0.0451075 | − | 0.998982i | \(-0.514363\pi\) |
−0.887698 | + | 0.460427i | \(0.847696\pi\) | |||||||
\(480\) | −399.064 | + | 82.9373i | −0.831382 | + | 0.172786i | ||||
\(481\) | −235.145 | − | 407.284i | −0.488868 | − | 0.846744i | ||||
\(482\) | 47.4794 | + | 24.8764i | 0.0985050 | + | 0.0516108i | ||||
\(483\) | 753.543 | + | 305.228i | 1.56013 | + | 0.631942i | ||||
\(484\) | 191.455 | + | 276.535i | 0.395568 | + | 0.571353i | ||||
\(485\) | −197.688 | − | 342.406i | −0.407604 | − | 0.705991i | ||||
\(486\) | −778.576 | − | 1229.30i | −1.60201 | − | 2.52942i | ||||
\(487\) | 239.379 | + | 138.206i | 0.491538 | + | 0.283790i | 0.725212 | − | 0.688525i | \(-0.241742\pi\) |
−0.233674 | + | 0.972315i | \(0.575075\pi\) | |||||||
\(488\) | −517.132 | + | 390.316i | −1.05970 | + | 0.799827i | ||||
\(489\) | 1388.72 | 2.83991 | ||||||||
\(490\) | −214.540 | − | 44.6377i | −0.437837 | − | 0.0910973i | ||||
\(491\) | − | 733.948i | − | 1.49480i | −0.664373 | − | 0.747401i | \(-0.731301\pi\) | ||
0.664373 | − | 0.747401i | \(-0.268699\pi\) | |||||||
\(492\) | −847.248 | − | 400.560i | −1.72205 | − | 0.814147i | ||||
\(493\) | −30.5957 | + | 52.9932i | −0.0620601 | + | 0.107491i | ||||
\(494\) | 415.975 | + | 656.786i | 0.842055 | + | 1.32953i | ||||
\(495\) | 275.871 | − | 159.274i | 0.557316 | − | 0.321766i | ||||
\(496\) | −247.070 | − | 92.9044i | −0.498125 | − | 0.187307i | ||||
\(497\) | 56.9289 | − | 140.545i | 0.114545 | − | 0.282787i | ||||
\(498\) | −1036.86 | − | 543.253i | −2.08205 | − | 1.09087i | ||||
\(499\) | −329.770 | + | 190.393i | −0.660861 | + | 0.381548i | −0.792605 | − | 0.609736i | \(-0.791276\pi\) |
0.131744 | + | 0.991284i | \(0.457942\pi\) | |||||||
\(500\) | 44.5712 | − | 3.66149i | 0.0891424 | − | 0.00732297i | ||||
\(501\) | −736.748 | + | 1276.09i | −1.47056 | + | 2.54708i | ||||
\(502\) | 72.8649 | − | 2.98786i | 0.145149 | − | 0.00595192i | ||||
\(503\) | 676.248i | 1.34443i | 0.740356 | + | 0.672214i | \(0.234657\pi\) | ||||
−0.740356 | + | 0.672214i | \(0.765343\pi\) | |||||||
\(504\) | −1268.35 | + | 339.701i | −2.51656 | + | 0.674010i | ||||
\(505\) | −116.735 | −0.231159 | ||||||||
\(506\) | 10.1512 | + | 247.556i | 0.0200616 | + | 0.489241i | ||||
\(507\) | −176.091 | − | 101.666i | −0.347319 | − | 0.200525i | ||||
\(508\) | −4.77770 | − | 58.1588i | −0.00940491 | − | 0.114486i | ||||
\(509\) | −335.005 | − | 580.245i | −0.658163 | − | 1.13997i | −0.981091 | − | 0.193548i | \(-0.938001\pi\) |
0.322928 | − | 0.946424i | \(-0.395333\pi\) | |||||||
\(510\) | −67.1685 | + | 128.199i | −0.131703 | + | 0.251370i | ||||
\(511\) | 143.761 | − | 112.113i | 0.281332 | − | 0.219399i | ||||
\(512\) | 184.595 | + | 477.566i | 0.360536 | + | 0.932745i | ||||
\(513\) | 1385.35 | + | 2399.49i | 2.70048 | + | 4.67737i | ||||
\(514\) | 518.326 | − | 328.282i | 1.00842 | − | 0.638681i | ||||
\(515\) | −22.2268 | − | 12.8327i | −0.0431589 | − | 0.0249178i | ||||
\(516\) | 59.4475 | − | 125.741i | 0.115208 | − | 0.243684i | ||||
\(517\) | −88.7372 | −0.171639 | ||||||||
\(518\) | −561.074 | + | 101.938i | −1.08316 | + | 0.196791i | ||||
\(519\) | 1528.04i | 2.94420i | ||||||||
\(520\) | 164.851 | − | 124.425i | 0.317021 | − | 0.239278i | ||||
\(521\) | −50.7341 | + | 87.8740i | −0.0973783 | + | 0.168664i | −0.910599 | − | 0.413292i | \(-0.864379\pi\) |
0.813220 | + | 0.581956i | \(0.197712\pi\) | |||||||
\(522\) | 426.700 | − | 270.250i | 0.817433 | − | 0.517721i | ||||
\(523\) | −571.486 | + | 329.948i | −1.09271 | + | 0.630875i | −0.934296 | − | 0.356498i | \(-0.883971\pi\) |
−0.158412 | + | 0.987373i | \(0.550637\pi\) | |||||||
\(524\) | 264.910 | − | 183.407i | 0.505553 | − | 0.350013i | ||||
\(525\) | 197.453 | − | 27.5719i | 0.376101 | − | 0.0525179i | ||||
\(526\) | −427.160 | + | 815.283i | −0.812092 | + | 1.54997i | ||||
\(527\) | −81.1707 | + | 46.8639i | −0.154024 | + | 0.0889259i | ||||
\(528\) | −351.421 | − | 427.941i | −0.665569 | − | 0.810493i | ||||
\(529\) | −56.6304 | + | 98.0868i | −0.107052 | + | 0.185419i | ||||
\(530\) | 5.52587 | + | 134.759i | 0.0104262 | + | 0.254263i | ||||
\(531\) | − | 790.449i | − | 1.48860i | ||||||
\(532\) | 919.824 | − | 206.372i | 1.72899 | − | 0.387917i | ||||
\(533\) | 474.885 | 0.890967 | ||||||||
\(534\) | 605.672 | − | 24.8359i | 1.13422 | − | 0.0465092i | ||||
\(535\) | −290.909 | − | 167.957i | −0.543756 | − | 0.313938i | ||||
\(536\) | −26.4370 | + | 62.4160i | −0.0493227 | + | 0.116448i | ||||
\(537\) | 303.499 | + | 525.675i | 0.565174 | + | 0.978911i | ||||
\(538\) | −450.694 | − | 236.137i | −0.837721 | − | 0.438916i | ||||
\(539\) | −81.5528 | − | 286.322i | −0.151304 | − | 0.531210i | ||||
\(540\) | 605.187 | − | 418.993i | 1.12072 | − | 0.775913i | ||||
\(541\) | 246.462 | + | 426.885i | 0.455568 | + | 0.789067i | 0.998721 | − | 0.0505668i | \(-0.0161028\pi\) |
−0.543152 | + | 0.839634i | \(0.682769\pi\) | |||||||
\(542\) | 493.105 | + | 778.567i | 0.909789 | + | 1.43647i | ||||
\(543\) | 971.033 | + | 560.626i | 1.78827 | + | 1.03246i | ||||
\(544\) | 172.649 | + | 56.9623i | 0.317369 | + | 0.104710i | ||||
\(545\) | 331.342 | 0.607967 | ||||||||
\(546\) | 702.251 | − | 595.496i | 1.28617 | − | 1.09065i | ||||
\(547\) | − | 21.0836i | − | 0.0385441i | −0.999814 | − | 0.0192720i | \(-0.993865\pi\) | ||
0.999814 | − | 0.0192720i | \(-0.00613486\pi\) | |||||||
\(548\) | −202.685 | + | 428.711i | −0.369863 | + | 0.782319i | ||||
\(549\) | 949.468 | − | 1644.53i | 1.72945 | − | 2.99549i | ||||
\(550\) | 32.5089 | + | 51.3284i | 0.0591070 | + | 0.0933244i | ||||
\(551\) | −314.037 | + | 181.309i | −0.569940 | + | 0.329055i | ||||
\(552\) | 113.950 | + | 922.145i | 0.206432 | + | 1.67055i | ||||
\(553\) | −61.3061 | + | 8.56063i | −0.110861 | + | 0.0154803i | ||||
\(554\) | −936.164 | − | 490.494i | −1.68983 | − | 0.885369i | ||||
\(555\) | 449.314 | − | 259.411i | 0.809574 | − | 0.467408i | ||||
\(556\) | 55.0730 | + | 670.403i | 0.0990522 | + | 1.20576i | ||||
\(557\) | −167.523 | + | 290.158i | −0.300759 | + | 0.520930i | −0.976308 | − | 0.216385i | \(-0.930573\pi\) |
0.675549 | + | 0.737315i | \(0.263907\pi\) | |||||||
\(558\) | 772.994 | − | 31.6970i | 1.38529 | − | 0.0568047i | ||||
\(559\) | 70.4781i | 0.126079i | ||||||||
\(560\) | −74.6487 | − | 239.056i | −0.133301 | − | 0.426885i | ||||
\(561\) | −196.625 | −0.350490 | ||||||||
\(562\) | 40.5904 | + | 989.878i | 0.0722250 | + | 1.76135i | ||||
\(563\) | −177.179 | − | 102.294i | −0.314705 | − | 0.181695i | 0.334325 | − | 0.942458i | \(-0.391492\pi\) |
−0.649030 | + | 0.760763i | \(0.724825\pi\) | |||||||
\(564\) | −331.663 | + | 27.2458i | −0.588055 | + | 0.0483082i | ||||
\(565\) | 90.9428 | + | 157.518i | 0.160961 | + | 0.278792i | ||||
\(566\) | 39.9863 | − | 76.3184i | 0.0706472 | − | 0.134838i | ||||
\(567\) | 1422.76 | − | 1109.55i | 2.50928 | − | 1.95688i | ||||
\(568\) | 171.992 | − | 21.2532i | 0.302802 | − | 0.0374175i | ||||
\(569\) | −266.777 | − | 462.071i | −0.468852 | − | 0.812075i | 0.530514 | − | 0.847676i | \(-0.321999\pi\) |
−0.999366 | + | 0.0356009i | \(0.988665\pi\) | |||||||
\(570\) | −724.563 | + | 458.902i | −1.27116 | + | 0.805091i | ||||
\(571\) | 655.774 | + | 378.611i | 1.14847 | + | 0.663067i | 0.948513 | − | 0.316738i | \(-0.102588\pi\) |
0.199953 | + | 0.979805i | \(0.435921\pi\) | |||||||
\(572\) | 253.673 | + | 119.931i | 0.443484 | + | 0.209670i | ||||
\(573\) | −1284.31 | −2.24137 | ||||||||
\(574\) | 194.135 | − | 542.119i | 0.338214 | − | 0.944457i | ||||
\(575\) | − | 101.948i | − | 0.177302i | ||||||
\(576\) | −1044.10 | − | 1077.85i | −1.81267 | − | 1.87126i | ||||
\(577\) | 284.714 | − | 493.140i | 0.493439 | − | 0.854662i | −0.506532 | − | 0.862221i | \(-0.669073\pi\) |
0.999971 | + | 0.00755940i | \(0.00240625\pi\) | |||||||
\(578\) | −433.765 | + | 274.725i | −0.750458 | + | 0.475302i | ||||
\(579\) | −916.859 | + | 529.349i | −1.58352 | + | 0.914247i | ||||
\(580\) | 54.8363 | + | 79.2047i | 0.0945453 | + | 0.136560i | ||||
\(581\) | 270.021 | − | 666.624i | 0.464752 | − | 1.14737i | ||||
\(582\) | 934.878 | − | 1784.32i | 1.60632 | − | 3.06584i | ||||
\(583\) | −158.685 | + | 91.6170i | −0.272188 | + | 0.157148i | ||||
\(584\) | 191.853 | + | 81.2613i | 0.328515 | + | 0.139146i | ||||
\(585\) | −302.671 | + | 524.241i | −0.517386 | + | 0.896139i | ||||
\(586\) | 11.3251 | + | 276.184i | 0.0193261 | + | 0.471304i | ||||
\(587\) | 333.386i | 0.567949i | 0.958832 | + | 0.283975i | \(0.0916531\pi\) | ||||
−0.958832 | + | 0.283975i | \(0.908347\pi\) | |||||||
\(588\) | −392.723 | − | 1045.11i | −0.667897 | − | 1.77741i | ||||
\(589\) | −555.430 | −0.943005 | ||||||||
\(590\) | 150.637 | − | 6.17693i | 0.255316 | − | 0.0104694i | ||||
\(591\) | 61.7771 | + | 35.6670i | 0.104530 | + | 0.0603503i | ||||
\(592\) | −413.604 | − | 503.664i | −0.698655 | − | 0.850783i | ||||
\(593\) | −504.094 | − | 873.117i | −0.850074 | − | 1.47237i | −0.881140 | − | 0.472855i | \(-0.843224\pi\) |
0.0310661 | − | 0.999517i | \(-0.490110\pi\) | |||||||
\(594\) | 885.793 | + | 464.103i | 1.49123 | + | 0.781318i | ||||
\(595\) | −82.4222 | − | 33.3857i | −0.138525 | − | 0.0561104i | ||||
\(596\) | 114.639 | + | 165.583i | 0.192347 | + | 0.277824i | ||||
\(597\) | −411.440 | − | 712.635i | −0.689179 | − | 1.19369i | ||||
\(598\) | −251.922 | − | 397.762i | −0.421275 | − | 0.665153i | ||||
\(599\) | −67.5011 | − | 38.9718i | −0.112690 | − | 0.0650614i | 0.442596 | − | 0.896721i | \(-0.354058\pi\) |
−0.555285 | + | 0.831660i | \(0.687391\pi\) | |||||||
\(600\) | 137.265 | + | 181.863i | 0.228774 | + | 0.303105i | ||||
\(601\) | 412.145 | 0.685765 | 0.342882 | − | 0.939378i | \(-0.388597\pi\) | ||||
0.342882 | + | 0.939378i | \(0.388597\pi\) | |||||||
\(602\) | 80.4563 | + | 28.8117i | 0.133648 | + | 0.0478599i | ||||
\(603\) | − | 198.669i | − | 0.329468i | ||||||
\(604\) | 486.942 | + | 230.216i | 0.806196 | + | 0.381152i | ||||
\(605\) | 94.0106 | − | 162.831i | 0.155389 | − | 0.269142i | ||||
\(606\) | −318.230 | − | 502.455i | −0.525132 | − | 0.829134i | ||||
\(607\) | 242.872 | − | 140.222i | 0.400119 | − | 0.231009i | −0.286416 | − | 0.958105i | \(-0.592464\pi\) |
0.686535 | + | 0.727096i | \(0.259131\pi\) | |||||||
\(608\) | 717.264 | + | 803.890i | 1.17971 | + | 1.32219i | ||||
\(609\) | 264.104 | + | 338.656i | 0.433669 | + | 0.556085i | ||||
\(610\) | 320.819 | + | 168.090i | 0.525932 | + | 0.275557i | ||||
\(611\) | 146.036 | − | 84.3141i | 0.239012 | − | 0.137994i | ||||
\(612\) | −531.060 | + | 43.6262i | −0.867746 | + | 0.0712846i | ||||
\(613\) | −32.5499 | + | 56.3782i | −0.0530994 | + | 0.0919709i | −0.891353 | − | 0.453309i | \(-0.850243\pi\) |
0.838254 | + | 0.545280i | \(0.183577\pi\) | |||||||
\(614\) | −103.344 | + | 4.23765i | −0.168312 | + | 0.00690172i | ||||
\(615\) | 523.891i | 0.851856i | ||||||||
\(616\) | 240.613 | − | 240.559i | 0.390605 | − | 0.390518i | ||||
\(617\) | 144.024 | 0.233426 | 0.116713 | − | 0.993166i | \(-0.462764\pi\) | ||||
0.116713 | + | 0.993166i | \(0.462764\pi\) | |||||||
\(618\) | −5.35746 | − | 130.652i | −0.00866903 | − | 0.211411i | ||||
\(619\) | −588.125 | − | 339.554i | −0.950120 | − | 0.548552i | −0.0570020 | − | 0.998374i | \(-0.518154\pi\) |
−0.893118 | + | 0.449822i | \(0.851487\pi\) | |||||||
\(620\) | 12.0811 | + | 147.063i | 0.0194856 | + | 0.237198i | ||||
\(621\) | −838.991 | − | 1453.18i | −1.35103 | − | 2.34006i | ||||
\(622\) | 394.112 | − | 752.208i | 0.633621 | − | 1.20934i | ||||
\(623\) | 51.5098 | + | 368.882i | 0.0826803 | + | 0.592106i | ||||
\(624\) | 984.949 | + | 370.365i | 1.57844 | + | 0.593534i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 30.7059 | − | 19.4476i | 0.0490510 | − | 0.0310664i | ||||
\(627\) | −1009.09 | − | 582.597i | −1.60939 | − | 0.929182i | ||||
\(628\) | 232.009 | − | 490.736i | 0.369441 | − | 0.781427i | ||||
\(629\) | −231.417 | −0.367913 | ||||||||
\(630\) | 474.729 | + | 559.834i | 0.753539 | + | 0.888625i | ||||
\(631\) | 275.380i | 0.436418i | 0.975902 | + | 0.218209i | \(0.0700215\pi\) | ||||
−0.975902 | + | 0.218209i | \(0.929979\pi\) | |||||||
\(632\) | −42.6185 | − | 56.4656i | −0.0674343 | − | 0.0893442i | ||||
\(633\) | −189.808 | + | 328.757i | −0.299855 | + | 0.519363i | ||||
\(634\) | −856.268 | + | 542.317i | −1.35058 | + | 0.855390i | ||||
\(635\) | −28.2509 | + | 16.3106i | −0.0444895 | + | 0.0256860i | ||||
\(636\) | −564.970 | + | 391.149i | −0.888318 | + | 0.615015i | ||||
\(637\) | 406.264 | + | 393.718i | 0.637776 | + | 0.618081i | ||||
\(638\) | −60.7402 | + | 115.929i | −0.0952040 | + | 0.181708i | ||||
\(639\) | −439.878 | + | 253.964i | −0.688385 | + | 0.397439i | ||||
\(640\) | 197.247 | − | 207.397i | 0.308199 | − | 0.324058i | ||||
\(641\) | 519.631 | − | 900.027i | 0.810657 | − | 1.40410i | −0.101748 | − | 0.994810i | \(-0.532444\pi\) |
0.912405 | − | 0.409289i | \(-0.134223\pi\) | |||||||
\(642\) | −70.1195 | − | 1710.00i | −0.109220 | − | 2.66356i | ||||
\(643\) | − | 1054.99i | − | 1.64073i | −0.571839 | − | 0.820366i | \(-0.693770\pi\) | ||
0.571839 | − | 0.820366i | \(-0.306230\pi\) | |||||||
\(644\) | −557.063 | + | 124.983i | −0.865004 | + | 0.194073i | ||||
\(645\) | −77.7511 | −0.120544 | ||||||||
\(646\) | 382.232 | − | 15.6736i | 0.591691 | − | 0.0242626i | ||||
\(647\) | 377.661 | + | 218.043i | 0.583711 | + | 0.337006i | 0.762607 | − | 0.646862i | \(-0.223919\pi\) |
−0.178896 | + | 0.983868i | \(0.557252\pi\) | |||||||
\(648\) | 1898.71 | + | 804.221i | 2.93011 | + | 1.24108i | ||||
\(649\) | 102.411 | + | 177.382i | 0.157799 | + | 0.273315i | ||||
\(650\) | −102.270 | − | 53.5836i | −0.157339 | − | 0.0824363i | ||||
\(651\) | 90.9733 | + | 651.496i | 0.139744 | + | 1.00076i | ||||
\(652\) | −801.773 | + | 555.096i | −1.22971 | + | 0.851375i | ||||
\(653\) | −24.3804 | − | 42.2281i | −0.0373360 | − | 0.0646679i | 0.846754 | − | 0.531985i | \(-0.178554\pi\) |
−0.884090 | + | 0.467317i | \(0.845221\pi\) | |||||||
\(654\) | 903.265 | + | 1426.17i | 1.38114 | + | 2.18069i | ||||
\(655\) | −155.986 | − | 90.0587i | −0.238147 | − | 0.137494i | ||||
\(656\) | 649.269 | − | 107.399i | 0.989740 | − | 0.163717i | ||||
\(657\) | −610.664 | −0.929474 | ||||||||
\(658\) | −36.5510 | − | 201.180i | −0.0555487 | − | 0.305744i | ||||
\(659\) | − | 1163.45i | − | 1.76548i | −0.469866 | − | 0.882738i | \(-0.655698\pi\) | ||
0.469866 | − | 0.882738i | \(-0.344302\pi\) | |||||||
\(660\) | −132.307 | + | 279.851i | −0.200466 | + | 0.424016i | ||||
\(661\) | −159.543 | + | 276.336i | −0.241366 | + | 0.418058i | −0.961104 | − | 0.276188i | \(-0.910929\pi\) |
0.719738 | + | 0.694246i | \(0.244262\pi\) | |||||||
\(662\) | 498.031 | + | 786.345i | 0.752313 | + | 1.18783i | ||||
\(663\) | 323.589 | − | 186.824i | 0.488067 | − | 0.281786i | ||||
\(664\) | 815.778 | − | 100.806i | 1.22858 | − | 0.151817i | ||||
\(665\) | −324.073 | − | 415.553i | −0.487328 | − | 0.624892i | ||||
\(666\) | 1691.98 | + | 886.498i | 2.54051 | + | 1.33108i | ||||
\(667\) | 190.187 | − | 109.804i | 0.285137 | − | 0.164624i | ||||
\(668\) | −84.7154 | − | 1031.24i | −0.126819 | − | 1.54377i | ||||
\(669\) | −529.631 | + | 917.347i | −0.791675 | + | 1.37122i | ||||
\(670\) | 37.8606 | − | 1.55249i | 0.0565083 | − | 0.00231715i | ||||
\(671\) | 492.056i | 0.733317i | ||||||||
\(672\) | 825.451 | − | 972.989i | 1.22835 | − | 1.44790i | ||||
\(673\) | −678.408 | −1.00804 | −0.504018 | − | 0.863693i | \(-0.668145\pi\) | ||||
−0.504018 | + | 0.863693i | \(0.668145\pi\) | |||||||
\(674\) | −30.3913 | − | 741.152i | −0.0450910 | − | 1.09963i | ||||
\(675\) | −356.351 | − | 205.739i | −0.527927 | − | 0.304799i | ||||
\(676\) | 142.304 | − | 11.6901i | 0.210508 | − | 0.0172931i | ||||
\(677\) | 77.0733 | + | 133.495i | 0.113845 | + | 0.197186i | 0.917318 | − | 0.398156i | \(-0.130350\pi\) |
−0.803472 | + | 0.595342i | \(0.797017\pi\) | |||||||
\(678\) | −430.074 | + | 820.844i | −0.634327 | + | 1.21068i | ||||
\(679\) | 1147.19 | + | 464.676i | 1.68952 | + | 0.684353i | ||||
\(680\) | −12.4638 | − | 100.864i | −0.0183292 | − | 0.148329i | ||||
\(681\) | 158.661 | + | 274.809i | 0.232982 | + | 0.403537i | ||||
\(682\) | −169.358 | + | 107.263i | −0.248326 | + | 0.157277i | ||||
\(683\) | −387.106 | − | 223.496i | −0.566773 | − | 0.327226i | 0.189087 | − | 0.981960i | \(-0.439447\pi\) |
−0.755859 | + | 0.654734i | \(0.772781\pi\) | |||||||
\(684\) | −2854.69 | − | 1349.64i | −4.17353 | − | 1.97315i | ||||
\(685\) | 265.091 | 0.386994 | ||||||||
\(686\) | 615.541 | − | 302.828i | 0.897290 | − | 0.441441i | ||||
\(687\) | 15.4849i | 0.0225399i | ||||||||
\(688\) | 15.9391 | + | 96.3586i | 0.0231673 | + | 0.140056i | ||||
\(689\) | 174.101 | − | 301.551i | 0.252686 | − | 0.437665i | ||||
\(690\) | 438.809 | − | 277.920i | 0.635955 | − | 0.402782i | ||||
\(691\) | −601.490 | + | 347.271i | −0.870463 | + | 0.502562i | −0.867502 | − | 0.497433i | \(-0.834276\pi\) |
−0.00296125 | + | 0.999996i | \(0.500943\pi\) | |||||||
\(692\) | −610.786 | − | 882.211i | −0.882639 | − | 1.27487i | ||||
\(693\) | −374.382 | + | 924.271i | −0.540234 | + | 1.33372i | ||||
\(694\) | 56.1588 | − | 107.185i | 0.0809205 | − | 0.154446i | ||||
\(695\) | 325.651 | − | 188.014i | 0.468562 | − | 0.270524i | ||||
\(696\) | −191.427 | + | 451.946i | −0.275038 | + | 0.649348i | ||||
\(697\) | 116.839 | − | 202.371i | 0.167631 | − | 0.290346i | ||||
\(698\) | 34.3406 | + | 837.463i | 0.0491986 | + | 1.19980i | ||||
\(699\) | − | 356.504i | − | 0.510020i | ||||||
\(700\) | −102.978 | + | 94.8444i | −0.147112 | + | 0.135492i | ||||
\(701\) | −1073.69 | −1.53166 | −0.765830 | − | 0.643043i | \(-0.777672\pi\) | ||||
−0.765830 | + | 0.643043i | \(0.777672\pi\) | |||||||
\(702\) | −1898.73 | + | 77.8586i | −2.70475 | + | 0.110910i | ||||
\(703\) | −1187.64 | − | 685.687i | −1.68939 | − | 0.975372i | ||||
\(704\) | 373.948 | + | 106.601i | 0.531176 | + | 0.151422i | ||||
\(705\) | 93.0150 | + | 161.107i | 0.131936 | + | 0.228520i | ||||
\(706\) | −990.547 | − | 518.988i | −1.40304 | − | 0.735110i | ||||
\(707\) | 288.170 | − | 224.732i | 0.407595 | − | 0.317867i | ||||
\(708\) | 437.234 | + | 631.535i | 0.617563 | + | 0.891998i | ||||
\(709\) | 42.5633 | + | 73.7218i | 0.0600328 | + | 0.103980i | 0.894480 | − | 0.447108i | \(-0.147546\pi\) |
−0.834447 | + | 0.551088i | \(0.814213\pi\) | |||||||
\(710\) | −51.8355 | − | 81.8434i | −0.0730077 | − | 0.115272i | ||||
\(711\) | 179.565 | + | 103.672i | 0.252553 | + | 0.145812i | ||||
\(712\) | −339.757 | + | 256.438i | −0.477186 | + | 0.360166i | ||||
\(713\) | 336.379 | 0.471779 | ||||||||
\(714\) | −80.9901 | − | 445.776i | −0.113431 | − | 0.624336i | ||||
\(715\) | − | 156.857i | − | 0.219381i | ||||||
\(716\) | −385.347 | − | 182.183i | −0.538194 | − | 0.254446i | ||||
\(717\) | −151.980 | + | 263.237i | −0.211966 | + | 0.367136i | ||||
\(718\) | 690.820 | + | 1090.74i | 0.962145 | + | 1.51914i | ||||
\(719\) | 701.029 | − | 404.739i | 0.975005 | − | 0.562919i | 0.0742465 | − | 0.997240i | \(-0.476345\pi\) |
0.900758 | + | 0.434321i | \(0.143011\pi\) | |||||||
\(720\) | −295.255 | + | 785.200i | −0.410076 | + | 1.09056i | ||||
\(721\) | 79.5732 | − | 11.1114i | 0.110365 | − | 0.0154111i | ||||
\(722\) | 1368.54 | + | 717.034i | 1.89549 | + | 0.993122i | ||||
\(723\) | 132.211 | − | 76.3321i | 0.182864 | − | 0.105577i | ||||
\(724\) | −784.717 | + | 64.4638i | −1.08386 | + | 0.0890385i | ||||
\(725\) | 26.9264 | − | 46.6379i | 0.0371399 | − | 0.0643282i | ||||
\(726\) | 957.143 | − | 39.2481i | 1.31838 | − | 0.0540608i | ||||
\(727\) | − | 25.6541i | − | 0.0352876i | −0.999844 | − | 0.0176438i | \(-0.994384\pi\) | ||
0.999844 | − | 0.0176438i | \(-0.00561648\pi\) | |||||||
\(728\) | −167.412 | + | 624.512i | −0.229962 | + | 0.857846i | ||||
\(729\) | −1824.58 | −2.50286 | ||||||||
\(730\) | −4.77201 | − | 116.375i | −0.00653700 | − | 0.159418i | ||||
\(731\) | 30.0341 | + | 17.3402i | 0.0410863 | + | 0.0237212i | ||||
\(732\) | 151.081 | + | 1839.10i | 0.206394 | + | 2.51243i | ||||
\(733\) | 481.102 | + | 833.293i | 0.656346 | + | 1.13682i | 0.981555 | + | 0.191183i | \(0.0612322\pi\) |
−0.325208 | + | 0.945642i | \(0.605434\pi\) | |||||||
\(734\) | 179.231 | − | 342.083i | 0.244184 | − | 0.466053i | ||||
\(735\) | −434.347 | + | 448.188i | −0.590949 | + | 0.609780i | ||||
\(736\) | −434.388 | − | 486.851i | −0.590201 | − | 0.661482i | ||||
\(737\) | 25.7398 | + | 44.5826i | 0.0349251 | + | 0.0604920i | ||||
\(738\) | −1629.49 | + | 1032.03i | −2.20797 | + | 1.39842i | ||||
\(739\) | −197.899 | − | 114.257i | −0.267793 | − | 0.154611i | 0.360091 | − | 0.932917i | \(-0.382746\pi\) |
−0.627884 | + | 0.778307i | \(0.716079\pi\) | |||||||
\(740\) | −155.719 | + | 329.370i | −0.210431 | + | 0.445095i | ||||
\(741\) | 2214.23 | 2.98817 | ||||||||
\(742\) | −273.071 | − | 322.025i | −0.368021 | − | 0.433996i | ||||
\(743\) | − | 539.269i | − | 0.725799i | −0.931828 | − | 0.362900i | \(-0.881787\pi\) | ||
0.931828 | − | 0.362900i | \(-0.118213\pi\) | |||||||
\(744\) | −600.057 | + | 452.904i | −0.806528 | + | 0.608742i | ||||
\(745\) | 56.2915 | − | 97.4998i | 0.0755591 | − | 0.130872i | ||||
\(746\) | 531.965 | − | 336.920i | 0.713089 | − | 0.451635i | ||||
\(747\) | −2086.40 | + | 1204.58i | −2.79303 | + | 1.61256i | ||||
\(748\) | 113.521 | − | 78.5947i | 0.151766 | − | 0.105073i | ||||
\(749\) | 1041.47 | − | 145.428i | 1.39048 | − | 0.194163i | ||||
\(750\) | 59.1132 | − | 112.824i | 0.0788176 | − | 0.150432i | ||||
\(751\) | 864.958 | − | 499.384i | 1.15174 | − | 0.664959i | 0.202431 | − | 0.979297i | \(-0.435116\pi\) |
0.949311 | + | 0.314338i | \(0.101782\pi\) | |||||||
\(752\) | 180.595 | − | 148.303i | 0.240152 | − | 0.197211i | ||||
\(753\) | 103.852 | − | 179.876i | 0.137917 | − | 0.238879i | ||||
\(754\) | −10.1899 | − | 248.500i | −0.0135144 | − | 0.329575i | ||||
\(755\) | − | 301.098i | − | 0.398805i | ||||||
\(756\) | −687.327 | + | 2199.38i | −0.909163 | + | 2.90924i | ||||
\(757\) | −98.5371 | −0.130168 | −0.0650839 | − | 0.997880i | \(-0.520732\pi\) | ||||
−0.0650839 | + | 0.997880i | \(0.520732\pi\) | |||||||
\(758\) | −1319.72 | + | 54.1160i | −1.74106 | + | 0.0713931i | ||||
\(759\) | 611.122 | + | 352.832i | 0.805168 | + | 0.464864i | ||||
\(760\) | 234.893 | − | 554.568i | 0.309070 | − | 0.729695i | ||||
\(761\) | 565.509 | + | 979.491i | 0.743113 | + | 1.28711i | 0.951071 | + | 0.308972i | \(0.0999849\pi\) |
−0.207958 | + | 0.978138i | \(0.566682\pi\) | |||||||
\(762\) | −147.219 | − | 77.1339i | −0.193201 | − | 0.101226i | ||||
\(763\) | −817.941 | + | 637.879i | −1.07201 | + | 0.836015i | ||||
\(764\) | 741.492 | − | 513.361i | 0.970539 | − | 0.671939i | ||||
\(765\) | 148.936 | + | 257.965i | 0.194687 | + | 0.337209i | ||||
\(766\) | −388.298 | − | 613.087i | −0.506917 | − | 0.800374i | ||||
\(767\) | −337.080 | − | 194.613i | −0.439478 | − | 0.253733i | ||||
\(768\) | 1430.40 | + | 283.615i | 1.86249 | + | 0.369290i | ||||
\(769\) | −699.195 | −0.909226 | −0.454613 | − | 0.890689i | \(-0.650222\pi\) | ||||
−0.454613 | + | 0.890689i | \(0.650222\pi\) | |||||||
\(770\) | −179.065 | − | 64.1238i | −0.232552 | − | 0.0832776i | ||||
\(771\) | − | 1747.44i | − | 2.26646i | ||||||
\(772\) | 317.756 | − | 672.105i | 0.411602 | − | 0.870602i | ||||
\(773\) | 424.994 | − | 736.111i | 0.549798 | − | 0.952278i | −0.448490 | − | 0.893788i | \(-0.648038\pi\) |
0.998288 | − | 0.0584904i | \(-0.0186287\pi\) | |||||||
\(774\) | −153.165 | − | 241.833i | −0.197888 | − | 0.312446i | ||||
\(775\) | 71.4362 | − | 41.2437i | 0.0921758 | − | 0.0532177i | ||||
\(776\) | 173.477 | + | 1403.86i | 0.223552 | + | 1.80910i | ||||
\(777\) | −609.759 | + | 1505.37i | −0.784761 | + | 1.93741i | ||||
\(778\) | −432.742 | − | 226.731i | −0.556224 | − | 0.291428i | ||||
\(779\) | 1199.25 | − | 692.385i | 1.53947 | − | 0.888813i | ||||
\(780\) | −48.1614 | − | 586.268i | −0.0617454 | − | 0.751625i | ||||
\(781\) | 65.8075 | − | 113.982i | 0.0842606 | − | 0.145944i | ||||
\(782\) | −231.487 | + | 9.49224i | −0.296019 | + | 0.0121384i | ||||
\(783\) | − | 886.371i | − | 1.13202i | ||||||
\(784\) | 644.491 | + | 446.417i | 0.822054 | + | 0.569409i | ||||
\(785\) | −303.444 | −0.386553 | ||||||||
\(786\) | −37.5982 | − | 916.907i | −0.0478349 | − | 1.16655i | ||||
\(787\) | 284.056 | + | 164.000i | 0.360936 | + | 0.208386i | 0.669491 | − | 0.742820i | \(-0.266512\pi\) |
−0.308555 | + | 0.951206i | \(0.599846\pi\) | |||||||
\(788\) | −49.9237 | + | 4.10119i | −0.0633550 | + | 0.00520456i | ||||
\(789\) | 1310.72 | + | 2270.24i | 1.66124 | + | 2.87736i | ||||
\(790\) | −18.3537 | + | 35.0301i | −0.0232325 | + | 0.0443419i | ||||
\(791\) | −527.742 | − | 213.766i | −0.667183 | − | 0.270247i | ||||
\(792\) | −1131.07 | + | 139.768i | −1.42812 | + | 0.176474i | ||||
\(793\) | −467.529 | − | 809.785i | −0.589570 | − | 1.02117i | ||||
\(794\) | 889.621 | − | 563.441i | 1.12043 | − | 0.709624i | ||||
\(795\) | 332.670 | + | 192.067i | 0.418453 | + | 0.241594i | ||||
\(796\) | 522.398 | + | 246.978i | 0.656279 | + | 0.310274i | ||||
\(797\) | −1404.95 | −1.76280 | −0.881398 | − | 0.472375i | \(-0.843397\pi\) | ||||
−0.881398 | + | 0.472375i | \(0.843397\pi\) | |||||||
\(798\) | 905.185 | − | 2527.72i | 1.13432 | − | 3.16756i | ||||
\(799\) | − | 82.9773i | − | 0.103851i | ||||||
\(800\) | −151.944 | − | 50.1310i | −0.189930 | − | 0.0626638i | ||||
\(801\) | 623.802 | − | 1080.46i | 0.778778 | − | 1.34888i | ||||
\(802\) | −432.901 | + | 274.178i | −0.539777 | + | 0.341868i | ||||
\(803\) | 137.037 | − | 79.1183i | 0.170656 | − | 0.0985284i | ||||
\(804\) | 109.893 | + | 158.728i | 0.136683 | + | 0.197423i | ||||
\(805\) | 196.265 | + | 251.667i | 0.243807 | + | 0.312630i | ||||
\(806\) | 176.799 | − | 337.441i | 0.219354 | − | 0.418661i | ||||
\(807\) | −1255.00 | + | 724.575i | −1.55514 | + | 0.897863i | ||||
\(808\) | 384.571 | + | 162.889i | 0.475954 | + | 0.201595i | ||||
\(809\) | −133.528 | + | 231.278i | −0.165053 | + | 0.285881i | −0.936674 | − | 0.350202i | \(-0.886113\pi\) |
0.771621 | + | 0.636083i | \(0.219446\pi\) | |||||||
\(810\) | −47.2273 | − | 1151.73i | −0.0583053 | − | 1.42189i | ||||
\(811\) | − | 805.620i | − | 0.993366i | −0.867932 | − | 0.496683i | \(-0.834551\pi\) | ||
0.867932 | − | 0.496683i | \(-0.165449\pi\) | |||||||
\(812\) | −287.847 | − | 89.9550i | −0.354492 | − | 0.110782i | ||||
\(813\) | 2624.79 | 3.22853 | ||||||||
\(814\) | −494.546 | + | 20.2791i | −0.607551 | + | 0.0249129i | ||||
\(815\) | 472.106 | + | 272.570i | 0.579271 | + | 0.334442i | ||||
\(816\) | 400.163 | − | 328.610i | 0.490396 | − | 0.402708i | ||||
\(817\) | 102.758 | + | 177.981i | 0.125774 | + | 0.217847i | ||||
\(818\) | 570.802 | + | 299.067i | 0.697802 | + | 0.365607i | ||||
\(819\) | −262.073 | − | 1876.81i | −0.319991 | − | 2.29159i | ||||
\(820\) | −209.409 | − | 302.468i | −0.255377 | − | 0.368863i | ||||
\(821\) | 605.903 | + | 1049.46i | 0.738007 | + | 1.27826i | 0.953392 | + | 0.301736i | \(0.0975660\pi\) |
−0.215385 | + | 0.976529i | \(0.569101\pi\) | |||||||
\(822\) | 722.659 | + | 1141.01i | 0.879148 | + | 1.38809i | ||||
\(823\) | −700.584 | − | 404.482i | −0.851256 | − | 0.491473i | 0.00981819 | − | 0.999952i | \(-0.496875\pi\) |
−0.861075 | + | 0.508479i | \(0.830208\pi\) | |||||||
\(824\) | 55.3173 | + | 73.2904i | 0.0671327 | + | 0.0889446i | ||||
\(825\) | 173.044 | 0.209751 | ||||||||
\(826\) | −359.966 | + | 305.245i | −0.435794 | + | 0.369545i | ||||
\(827\) | − | 689.432i | − | 0.833654i | −0.908986 | − | 0.416827i | \(-0.863142\pi\) | ||
0.908986 | − | 0.416827i | \(-0.136858\pi\) | |||||||
\(828\) | 1728.85 | + | 817.364i | 2.08799 | + | 0.987155i | ||||
\(829\) | −555.021 | + | 961.325i | −0.669507 | + | 1.15962i | 0.308535 | + | 0.951213i | \(0.400161\pi\) |
−0.978042 | + | 0.208407i | \(0.933172\pi\) | |||||||
\(830\) | −245.862 | − | 388.194i | −0.296220 | − | 0.467703i | ||||
\(831\) | −2606.84 | + | 1505.06i | −3.13699 | + | 1.81114i | ||||
\(832\) | −716.701 | + | 179.873i | −0.861419 | + | 0.216194i | ||||
\(833\) | 267.737 | − | 76.2593i | 0.321413 | − | 0.0915477i | ||||
\(834\) | 1697.01 | + | 889.131i | 2.03478 | + | 1.06610i | ||||
\(835\) | −500.928 | + | 289.211i | −0.599914 | + | 0.346360i | ||||
\(836\) | 815.471 | − | 66.9902i | 0.975443 | − | 0.0801318i | ||||
\(837\) | 678.836 | − | 1175.78i | 0.811035 | − | 1.40475i | ||||
\(838\) | −983.640 | + | 40.3347i | −1.17379 | + | 0.0481320i | ||||
\(839\) | − | 125.958i | − | 0.150129i | −0.997179 | − | 0.0750643i | \(-0.976084\pi\) | ||
0.997179 | − | 0.0750643i | \(-0.0239162\pi\) | |||||||
\(840\) | −688.959 | − | 184.688i | −0.820189 | − | 0.219867i | ||||
\(841\) | −724.995 | −0.862063 | ||||||||
\(842\) | 11.3033 | + | 275.654i | 0.0134244 | + | 0.327381i | ||||
\(843\) | 2443.64 | + | 1410.83i | 2.89874 | + | 1.67359i | ||||
\(844\) | −21.8252 | − | 265.677i | −0.0258592 | − | 0.314784i | ||||
\(845\) | −39.9090 | − | 69.1245i | −0.0472296 | − | 0.0818041i | ||||
\(846\) | −317.864 | + | 606.680i | −0.375726 | + | 0.717115i | ||||
\(847\) | 81.4008 | + | 582.944i | 0.0961049 | + | 0.688245i | ||||
\(848\) | 169.835 | − | 451.659i | 0.200277 | − | 0.532617i | ||||
\(849\) | −122.696 | − | 212.516i | −0.144518 | − | 0.250313i | ||||
\(850\) | −47.9967 | + | 30.3987i | −0.0564667 | + | 0.0357632i | ||||
\(851\) | 719.259 | + | 415.265i | 0.845193 | + | 0.487972i | ||||
\(852\) | 210.964 | − | 446.223i | 0.247611 | − | 0.523736i | ||||
\(853\) | −861.828 | −1.01035 | −0.505174 | − | 0.863017i | \(-0.668572\pi\) | ||||
−0.505174 | + | 0.863017i | \(0.668572\pi\) | |||||||
\(854\) | −1115.56 | + | 202.679i | −1.30628 | + | 0.237329i | ||||
\(855\) | 1765.18i | 2.06454i | ||||||||
\(856\) | 724.004 | + | 959.239i | 0.845799 | + | 1.12061i | ||||
\(857\) | 295.395 | − | 511.639i | 0.344685 | − | 0.597012i | −0.640611 | − | 0.767865i | \(-0.721319\pi\) |
0.985297 | + | 0.170853i | \(0.0546523\pi\) | |||||||
\(858\) | 675.149 | − | 427.605i | 0.786887 | − | 0.498375i | ||||
\(859\) | −515.282 | + | 297.498i | −0.599863 | + | 0.346331i | −0.768988 | − | 0.639264i | \(-0.779239\pi\) |
0.169125 | + | 0.985595i | \(0.445906\pi\) | |||||||
\(860\) | 44.8895 | − | 31.0786i | 0.0521971 | − | 0.0361379i | ||||
\(861\) | −1008.56 | − | 1293.26i | −1.17139 | − | 1.50205i | ||||
\(862\) | −151.032 | + | 288.262i | −0.175211 | + | 0.334410i | ||||
\(863\) | 1191.72 | − | 688.042i | 1.38091 | − | 0.797268i | 0.388641 | − | 0.921389i | \(-0.372945\pi\) |
0.992267 | + | 0.124122i | \(0.0396113\pi\) | |||||||
\(864\) | −2578.37 | + | 535.861i | −2.98422 | + | 0.620210i | ||||
\(865\) | −299.916 | + | 519.470i | −0.346724 | + | 0.600543i | ||||
\(866\) | 66.9384 | + | 1632.42i | 0.0772961 | + | 1.88502i | ||||
\(867\) | 1462.36i | 1.68669i | ||||||||
\(868\) | −312.939 | − | 339.777i | −0.360529 | − | 0.391448i | ||||
\(869\) | −53.7275 | −0.0618268 | ||||||||
\(870\) | 274.144 | − | 11.2414i | 0.315108 | − | 0.0129212i | ||||
\(871\) | −84.7208 | − | 48.9136i | −0.0972684 | − | 0.0561579i | ||||
\(872\) | −1091.57 | − | 462.345i | −1.25180 | − | 0.530212i | ||||
\(873\) | −2072.95 | − | 3590.45i | −2.37451 | − | 4.11278i | ||||
\(874\) | −1216.13 | − | 637.179i | −1.39145 | − | 0.729038i | ||||
\(875\) | 72.5376 | + | 29.3819i | 0.0829001 | + | 0.0335793i | ||||
\(876\) | 487.895 | − | 337.787i | 0.556958 | − | 0.385602i | ||||
\(877\) | 463.668 | + | 803.097i | 0.528698 | + | 0.915732i | 0.999440 | + | 0.0334607i | \(0.0106529\pi\) |
−0.470742 | + | 0.882271i | \(0.656014\pi\) | |||||||
\(878\) | 378.584 | + | 597.748i | 0.431189 | + | 0.680806i | ||||
\(879\) | 681.795 | + | 393.635i | 0.775649 | + | 0.447821i | ||||
\(880\) | −35.4744 | − | 214.457i | −0.0403118 | − | 0.243701i | ||||
\(881\) | −1043.50 | −1.18445 | −0.592226 | − | 0.805772i | \(-0.701751\pi\) | ||||
−0.592226 | + | 0.805772i | \(0.701751\pi\) | |||||||
\(882\) | −2249.66 | − | 468.069i | −2.55064 | − | 0.530690i | ||||
\(883\) | 1689.98i | 1.91391i | 0.290233 | + | 0.956956i | \(0.406267\pi\) | ||||
−0.290233 | + | 0.956956i | \(0.593733\pi\) | |||||||
\(884\) | −112.146 | + | 237.207i | −0.126862 | + | 0.268334i | ||||
\(885\) | 214.696 | − | 371.865i | 0.242595 | − | 0.420187i | ||||
\(886\) | −35.9424 | − | 56.7497i | −0.0405671 | − | 0.0640516i | ||||
\(887\) | 89.7890 | − | 51.8397i | 0.101228 | − | 0.0584439i | −0.448531 | − | 0.893767i | \(-0.648053\pi\) |
0.549759 | + | 0.835323i | \(0.314719\pi\) | |||||||
\(888\) | −1842.18 | + | 227.640i | −2.07453 | + | 0.256352i | ||||
\(889\) | 38.3390 | − | 94.6508i | 0.0431260 | − | 0.106469i | ||||
\(890\) | 210.778 | + | 110.435i | 0.236829 | + | 0.124085i | ||||
\(891\) | 1356.22 | − | 783.012i | 1.52213 | − | 0.878801i | ||||
\(892\) | −60.8999 | − | 741.333i | −0.0682734 | − | 0.831091i | ||||
\(893\) | 245.861 | − | 425.844i | 0.275320 | − | 0.476869i | ||||
\(894\) | 573.116 | − | 23.5009i | 0.641070 | − | 0.0262874i | ||||
\(895\) | 238.277i | 0.266231i | ||||||||
\(896\) | −87.6502 | + | 891.703i | −0.0978238 | + | 0.995204i | ||||
\(897\) | −1340.98 | −1.49496 | ||||||||
\(898\) | −36.6950 | − | 894.879i | −0.0408630 | − | 0.996525i | ||||
\(899\) | 153.882 | + | 88.8436i | 0.171170 | + | 0.0988250i | ||||
\(900\) | 467.372 | − | 38.3942i | 0.519302 | − | 0.0426603i | ||||
\(901\) | −85.6702 | − | 148.385i | −0.0950834 | − | 0.164689i | ||||
\(902\) | 231.955 | − | 442.713i | 0.257156 | − | 0.490812i | ||||
\(903\) | 191.934 | − | 149.682i | 0.212552 | − | 0.165761i | ||||
\(904\) | −79.8048 | − | 645.822i | −0.0882796 | − | 0.714405i | ||||
\(905\) | 220.074 | + | 381.179i | 0.243176 | + | 0.421193i | ||||
\(906\) | 1295.99 | − | 820.818i | 1.43046 | − | 0.905980i | ||||
\(907\) | 172.967 | + | 99.8623i | 0.190702 | + | 0.110102i | 0.592311 | − | 0.805709i | \(-0.298216\pi\) |
−0.401609 | + | 0.915811i | \(0.631549\pi\) | |||||||
\(908\) | −201.449 | − | 95.2406i | −0.221860 | − | 0.104891i | ||||
\(909\) | −1224.08 | −1.34663 | ||||||||
\(910\) | 355.617 | − | 64.6098i | 0.390788 | − | 0.0709997i | ||||
\(911\) | 137.150i | 0.150548i | 0.997163 | + | 0.0752742i | \(0.0239832\pi\) | ||||
−0.997163 | + | 0.0752742i | \(0.976017\pi\) | |||||||
\(912\) | 3027.32 | − | 500.764i | 3.31944 | − | 0.549083i | ||||
\(913\) | 312.134 | − | 540.631i | 0.341877 | − | 0.592148i | ||||
\(914\) | 616.707 | − | 390.592i | 0.674734 | − | 0.427343i | ||||
\(915\) | 893.351 | − | 515.776i | 0.976339 | − | 0.563690i | ||||
\(916\) | −6.18960 | − | 8.94017i | −0.00675721 | − | 0.00976001i | ||||
\(917\) | 558.438 | − | 77.9789i | 0.608984 | − | 0.0850370i | ||||
\(918\) | −433.978 | + | 828.297i | −0.472743 | + | 0.902284i | ||||
\(919\) | 394.412 | − | 227.714i | 0.429175 | − | 0.247784i | −0.269820 | − | 0.962911i | \(-0.586964\pi\) |
0.698995 | + | 0.715126i | \(0.253631\pi\) | |||||||
\(920\) | −142.256 | + | 335.857i | −0.154626 | + | 0.365062i | ||||
\(921\) | −147.292 | + | 255.116i | −0.159926 | + | 0.276999i | ||||
\(922\) | −3.36993 | − | 82.1824i | −0.00365502 | − | 0.0891349i | ||||
\(923\) | 250.109i | 0.270974i | ||||||||
\(924\) | −212.142 | − | 945.541i | −0.229591 | − | 1.02331i | ||||
\(925\) | 203.664 | 0.220177 | ||||||||
\(926\) | −143.216 | + | 5.87264i | −0.154661 | + | 0.00634194i | ||||
\(927\) | −233.070 | − | 134.563i | −0.251424 | − | 0.145160i | ||||
\(928\) | −70.1316 | − | 337.447i | −0.0755729 | − | 0.363629i | ||||
\(929\) | −151.570 | − | 262.526i | −0.163153 | − | 0.282590i | 0.772845 | − | 0.634595i | \(-0.218833\pi\) |
−0.935998 | + | 0.352005i | \(0.885500\pi\) | |||||||
\(930\) | 372.263 | + | 195.044i | 0.400283 | + | 0.209725i | ||||
\(931\) | 1600.00 | + | 401.936i | 1.71858 | + | 0.431725i | ||||
\(932\) | 142.502 | + | 205.827i | 0.152899 | + | 0.220845i | ||||
\(933\) | −1209.32 | − | 2094.60i | −1.29616 | − | 2.24501i | ||||
\(934\) | 586.459 | + | 925.963i | 0.627900 | + | 0.991396i | ||||
\(935\) | −66.8443 | − | 38.5926i | −0.0714912 | − | 0.0412755i | ||||
\(936\) | 1728.62 | − | 1304.71i | 1.84682 | − | 1.39392i | ||||
\(937\) | 471.776 | 0.503496 | 0.251748 | − | 0.967793i | \(-0.418995\pi\) | ||||
0.251748 | + | 0.967793i | \(0.418995\pi\) | |||||||
\(938\) | −90.4728 | + | 76.7193i | −0.0964528 | + | 0.0817903i | ||||
\(939\) | − | 103.519i | − | 0.110244i | ||||||
\(940\) | −118.099 | − | 55.8348i | −0.125638 | − | 0.0593987i | ||||
\(941\) | −572.998 | + | 992.461i | −0.608924 | + | 1.05469i | 0.382494 | + | 0.923958i | \(0.375065\pi\) |
−0.991418 | + | 0.130730i | \(0.958268\pi\) | |||||||
\(942\) | −827.212 | − | 1306.09i | −0.878145 | − | 1.38651i | ||||
\(943\) | −726.286 | + | 419.321i | −0.770187 | + | 0.444668i | ||||
\(944\) | −504.873 | − | 189.845i | −0.534823 | − | 0.201107i | ||||
\(945\) | 1275.75 | − | 178.143i | 1.35000 | − | 0.188511i | ||||
\(946\) | 65.7033 | + | 34.4247i | 0.0694538 | + | 0.0363897i | ||||
\(947\) | −968.169 | + | 558.972i | −1.02235 | + | 0.590256i | −0.914785 | − | 0.403942i | \(-0.867640\pi\) |
−0.107569 | + | 0.994198i | \(0.534307\pi\) | |||||||
\(948\) | −200.811 | + | 16.4965i | −0.211826 | + | 0.0174013i | ||||
\(949\) | −150.349 | + | 260.413i | −0.158429 | + | 0.274407i | ||||
\(950\) | −336.393 | + | 13.7939i | −0.354098 | + | 0.0145199i | ||||
\(951\) | 2886.75i | 3.03549i | ||||||||
\(952\) | 224.945 | + | 224.995i | 0.236286 | + | 0.236339i | ||||
\(953\) | −58.6630 | −0.0615561 | −0.0307781 | − | 0.999526i | \(-0.509799\pi\) | ||||
−0.0307781 | + | 0.999526i | \(0.509799\pi\) | |||||||
\(954\) | 57.9441 | + | 1413.08i | 0.0607381 | + | 1.48122i | ||||
\(955\) | −436.611 | − | 252.077i | −0.457184 | − | 0.263955i | ||||
\(956\) | −17.4755 | − | 212.728i | −0.0182798 | − | 0.222519i | ||||
\(957\) | 186.378 | + | 322.817i | 0.194753 | + | 0.337322i | ||||
\(958\) | 478.890 | − | 914.015i | 0.499885 | − | 0.954087i | ||||
\(959\) | −654.396 | + | 510.337i | −0.682373 | + | 0.532155i | ||||
\(960\) | −198.435 | − | 790.661i | −0.206704 | − | 0.823605i | ||||
\(961\) | −344.416 | − | 596.547i | −0.358394 | − | 0.620756i | ||||
\(962\) | 794.615 | − | 503.270i | 0.826003 | − | 0.523149i | ||||
\(963\) | −3050.47 | − | 1761.19i | −3.16767 | − | 1.82885i | ||||
\(964\) | −45.8204 | + | 96.9175i | −0.0475316 | + | 0.100537i | ||||
\(965\) | −415.592 | −0.430666 | ||||||||
\(966\) | −548.197 | + | 1530.83i | −0.567491 | + | 1.58471i | ||||
\(967\) | − | 1265.41i | − | 1.30860i | −0.756236 | − | 0.654299i | \(-0.772964\pi\) | ||
0.756236 | − | 0.654299i | \(-0.227036\pi\) | |||||||
\(968\) | −536.917 | + | 405.248i | −0.554666 | + | 0.418645i | ||||
\(969\) | 544.781 | − | 943.588i | 0.562209 | − | 0.973775i | ||||
\(970\) | 668.037 | − | 423.102i | 0.688698 | − | 0.436187i | ||||
\(971\) | −20.5601 | + | 11.8704i | −0.0211742 | + | 0.0122249i | −0.510550 | − | 0.859848i | \(-0.670558\pi\) |
0.489376 | + | 0.872073i | \(0.337225\pi\) | |||||||
\(972\) | 2392.73 | − | 1656.57i | 2.46166 | − | 1.70430i | ||||
\(973\) | −441.937 | + | 1091.05i | −0.454201 | + | 1.12133i | ||||
\(974\) | −256.564 | + | 489.681i | −0.263413 | + | 0.502753i | ||||
\(975\) | −284.782 | + | 164.419i | −0.292084 | + | 0.168635i | ||||
\(976\) | −822.351 | − | 1001.41i | −0.842572 | − | 1.02604i | ||||
\(977\) | −13.7669 | + | 23.8449i | −0.0140910 | + | 0.0244063i | −0.872985 | − | 0.487747i | \(-0.837819\pi\) |
0.858894 | + | 0.512153i | \(0.171152\pi\) | |||||||
\(978\) | 113.794 | + | 2775.10i | 0.116354 | + | 2.83752i | ||||
\(979\) | 323.281i | 0.330216i | ||||||||
\(980\) | 71.6205 | − | 432.378i | 0.0730821 | − | 0.441202i | ||||
\(981\) | 3474.44 | 3.54173 | ||||||||
\(982\) | 1466.66 | − | 60.1413i | 1.49355 | − | 0.0612436i | ||||
\(983\) | 750.120 | + | 433.082i | 0.763092 | + | 0.440572i | 0.830405 | − | 0.557160i | \(-0.188109\pi\) |
−0.0673126 | + | 0.997732i | \(0.521442\pi\) | |||||||
\(984\) | 731.022 | − | 1725.90i | 0.742909 | − | 1.75396i | ||||
\(985\) | 14.0011 | + | 24.2506i | 0.0142143 | + | 0.0246199i | ||||
\(986\) | −108.405 | − | 56.7975i | −0.109944 | − | 0.0576040i | ||||
\(987\) | −539.767 | − | 218.636i | −0.546876 | − | 0.221516i | ||||
\(988\) | −1278.38 | + | 885.071i | −1.29391 | + | 0.895820i | ||||
\(989\) | −62.2319 | − | 107.789i | −0.0629240 | − | 0.108988i | ||||
\(990\) | 340.887 | + | 538.228i | 0.344330 | + | 0.543665i | ||||
\(991\) | 1334.55 | + | 770.503i | 1.34667 | + | 0.777501i | 0.987776 | − | 0.155877i | \(-0.0498205\pi\) |
0.358894 | + | 0.933378i | \(0.383154\pi\) | |||||||
\(992\) | 165.407 | − | 501.338i | 0.166741 | − | 0.505381i | ||||
\(993\) | 2651.01 | 2.66970 | ||||||||
\(994\) | 285.519 | + | 102.246i | 0.287243 | + | 0.102863i | ||||
\(995\) | − | 323.022i | − | 0.324645i | ||||||
\(996\) | 1000.63 | − | 2116.49i | 1.00465 | − | 2.12499i | ||||
\(997\) | 699.010 | − | 1210.72i | 0.701114 | − | 1.21436i | −0.266962 | − | 0.963707i | \(-0.586020\pi\) |
0.968076 | − | 0.250657i | \(-0.0806468\pi\) | |||||||
\(998\) | −407.487 | − | 643.384i | −0.408304 | − | 0.644674i | ||||
\(999\) | 2903.03 | − | 1676.07i | 2.90594 | − | 1.67774i |
(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 | 140.3.t.a.11.16 | ✓ | 64 | |
4.3 | odd | 2 | inner | 140.3.t.a.11.26 | yes | 64 | |
7.2 | even | 3 | inner | 140.3.t.a.51.26 | yes | 64 | |
28.23 | odd | 6 | inner | 140.3.t.a.51.16 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
140.3.t.a.11.16 | ✓ | 64 | 1.1 | even | 1 | trivial | |
140.3.t.a.11.26 | yes | 64 | 4.3 | odd | 2 | inner | |
140.3.t.a.51.16 | yes | 64 | 28.23 | odd | 6 | inner | |
140.3.t.a.51.26 | yes | 64 | 7.2 | even | 3 | inner |