Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,3,Mod(5,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 10]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.w (of order \(12\), degree \(4\), 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: | \(3.92371580679\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 144.5 |
Dual form | 144.3.w.a.29.3 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.98351 | + | 0.256277i | −0.991756 | + | 0.128138i | ||||
\(3\) | −1.40595 | − | 2.65015i | −0.468649 | − | 0.883384i | ||||
\(4\) | 3.86864 | − | 1.01666i | 0.967161 | − | 0.254164i | ||||
\(5\) | 1.00259 | + | 3.74171i | 0.200517 | + | 0.748341i | 0.990769 | + | 0.135559i | \(0.0432831\pi\) |
−0.790252 | + | 0.612782i | \(0.790050\pi\) | |||||||
\(6\) | 3.46789 | + | 4.89630i | 0.577981 | + | 0.816050i | ||||
\(7\) | 4.65369 | − | 2.68681i | 0.664813 | − | 0.383830i | −0.129295 | − | 0.991606i | \(-0.541272\pi\) |
0.794108 | + | 0.607776i | \(0.207938\pi\) | |||||||
\(8\) | −7.41296 | + | 3.00800i | −0.926620 | + | 0.375999i | ||||
\(9\) | −5.04662 | + | 7.45195i | −0.560736 | + | 0.827995i | ||||
\(10\) | −2.94756 | − | 7.16478i | −0.294756 | − | 0.716478i | ||||
\(11\) | 12.4933 | + | 3.34758i | 1.13576 | + | 0.304325i | 0.777244 | − | 0.629200i | \(-0.216617\pi\) |
0.358513 | + | 0.933525i | \(0.383284\pi\) | |||||||
\(12\) | −8.13341 | − | 8.82313i | −0.677784 | − | 0.735261i | ||||
\(13\) | −3.07587 | − | 11.4793i | −0.236605 | − | 0.883024i | −0.977419 | − | 0.211312i | \(-0.932226\pi\) |
0.740813 | − | 0.671711i | \(-0.234440\pi\) | |||||||
\(14\) | −8.54209 | + | 6.52195i | −0.610149 | + | 0.465854i | ||||
\(15\) | 8.50651 | − | 7.91765i | 0.567101 | − | 0.527843i | ||||
\(16\) | 13.9328 | − | 7.86617i | 0.870801 | − | 0.491635i | ||||
\(17\) | − | 11.8846i | − | 0.699092i | −0.936919 | − | 0.349546i | \(-0.886336\pi\) | ||
0.936919 | − | 0.349546i | \(-0.113664\pi\) | |||||||
\(18\) | 8.10028 | − | 16.0744i | 0.450015 | − | 0.893021i | ||||
\(19\) | 20.1387 | − | 20.1387i | 1.05993 | − | 1.05993i | 0.0618460 | − | 0.998086i | \(-0.480301\pi\) |
0.998086 | − | 0.0618460i | \(-0.0196988\pi\) | |||||||
\(20\) | 7.68268 | + | 13.4560i | 0.384134 | + | 0.672802i | ||||
\(21\) | −13.6633 | − | 8.55548i | −0.650633 | − | 0.407404i | ||||
\(22\) | −25.6386 | − | 3.43821i | −1.16539 | − | 0.156282i | ||||
\(23\) | 4.74003 | − | 8.20998i | 0.206088 | − | 0.356955i | −0.744391 | − | 0.667744i | \(-0.767260\pi\) |
0.950479 | + | 0.310789i | \(0.100593\pi\) | |||||||
\(24\) | 18.3939 | + | 15.4164i | 0.766412 | + | 0.642350i | ||||
\(25\) | 8.65545 | − | 4.99723i | 0.346218 | − | 0.199889i | ||||
\(26\) | 9.04291 | + | 21.9811i | 0.347804 | + | 0.845426i | ||||
\(27\) | 26.8441 | + | 2.89727i | 0.994226 | + | 0.107306i | ||||
\(28\) | 15.2719 | − | 15.1255i | 0.545425 | − | 0.540197i | ||||
\(29\) | 5.39392 | − | 20.1304i | 0.185997 | − | 0.694151i | −0.808418 | − | 0.588609i | \(-0.799676\pi\) |
0.994415 | − | 0.105542i | \(-0.0336577\pi\) | |||||||
\(30\) | −14.8437 | + | 17.8848i | −0.494789 | + | 0.596160i | ||||
\(31\) | −19.3613 | + | 33.5347i | −0.624557 | + | 1.08176i | 0.364069 | + | 0.931372i | \(0.381387\pi\) |
−0.988626 | + | 0.150393i | \(0.951946\pi\) | |||||||
\(32\) | −25.6200 | + | 19.1733i | −0.800625 | + | 0.599166i | ||||
\(33\) | −8.69337 | − | 37.8157i | −0.263435 | − | 1.14593i | ||||
\(34\) | 3.04574 | + | 23.5732i | 0.0895805 | + | 0.693329i | ||||
\(35\) | 14.7190 | + | 14.7190i | 0.420542 | + | 0.420542i | ||||
\(36\) | −11.9475 | + | 33.9596i | −0.331875 | + | 0.943323i | ||||
\(37\) | 9.65467 | + | 9.65467i | 0.260937 | + | 0.260937i | 0.825435 | − | 0.564498i | \(-0.190930\pi\) |
−0.564498 | + | 0.825435i | \(0.690930\pi\) | |||||||
\(38\) | −34.7843 | + | 45.1065i | −0.915376 | + | 1.18701i | ||||
\(39\) | −26.0974 | + | 24.2908i | −0.669164 | + | 0.622842i | ||||
\(40\) | −18.6872 | − | 24.7213i | −0.467179 | − | 0.618033i | ||||
\(41\) | −11.7420 | + | 20.3377i | −0.286390 | + | 0.496042i | −0.972945 | − | 0.231036i | \(-0.925789\pi\) |
0.686555 | + | 0.727077i | \(0.259122\pi\) | |||||||
\(42\) | 29.2939 | + | 13.4683i | 0.697474 | + | 0.320674i | ||||
\(43\) | 19.5292 | − | 72.8841i | 0.454168 | − | 1.69498i | −0.236353 | − | 0.971667i | \(-0.575952\pi\) |
0.690521 | − | 0.723312i | \(-0.257381\pi\) | |||||||
\(44\) | 51.7356 | + | 0.249158i | 1.17581 | + | 0.00566269i | ||||
\(45\) | −32.9427 | − | 11.4118i | −0.732060 | − | 0.253594i | ||||
\(46\) | −7.29789 | + | 17.4994i | −0.158650 | + | 0.380421i | ||||
\(47\) | −18.4560 | + | 10.6556i | −0.392682 | + | 0.226715i | −0.683321 | − | 0.730118i | \(-0.739465\pi\) |
0.290640 | + | 0.956833i | \(0.406132\pi\) | |||||||
\(48\) | −40.4354 | − | 25.8647i | −0.842403 | − | 0.538848i | ||||
\(49\) | −10.0621 | + | 17.4281i | −0.205349 | + | 0.355675i | ||||
\(50\) | −15.8875 | + | 12.1303i | −0.317750 | + | 0.242605i | ||||
\(51\) | −31.4959 | + | 16.7091i | −0.617567 | + | 0.327629i | ||||
\(52\) | −23.5700 | − | 41.2822i | −0.453269 | − | 0.793889i | ||||
\(53\) | −21.4244 | + | 21.4244i | −0.404234 | + | 0.404234i | −0.879722 | − | 0.475488i | \(-0.842271\pi\) |
0.475488 | + | 0.879722i | \(0.342271\pi\) | |||||||
\(54\) | −53.9881 | + | 1.13275i | −0.999780 | + | 0.0209768i | ||||
\(55\) | 50.1026i | 0.910956i | ||||||||
\(56\) | −26.4157 | + | 33.9155i | −0.471709 | + | 0.605634i | ||||
\(57\) | −81.6846 | − | 25.0567i | −1.43306 | − | 0.439591i | ||||
\(58\) | −5.53996 | + | 41.3112i | −0.0955165 | + | 0.712262i | ||||
\(59\) | −6.02423 | − | 22.4827i | −0.102106 | − | 0.381063i | 0.895895 | − | 0.444266i | \(-0.146535\pi\) |
−0.998001 | + | 0.0632023i | \(0.979869\pi\) | |||||||
\(60\) | 24.8591 | − | 39.2788i | 0.414319 | − | 0.654646i | ||||
\(61\) | 58.9293 | + | 15.7901i | 0.966054 | + | 0.258853i | 0.707161 | − | 0.707053i | \(-0.249976\pi\) |
0.258893 | + | 0.965906i | \(0.416642\pi\) | |||||||
\(62\) | 29.8091 | − | 71.4783i | 0.480793 | − | 1.15288i | ||||
\(63\) | −3.46345 | + | 48.2384i | −0.0549754 | + | 0.765689i | ||||
\(64\) | 45.9039 | − | 44.5963i | 0.717249 | − | 0.696817i | ||||
\(65\) | 39.8684 | − | 23.0180i | 0.613359 | − | 0.354123i | ||||
\(66\) | 26.9347 | + | 72.7801i | 0.408102 | + | 1.10273i | ||||
\(67\) | 24.1615 | + | 90.1720i | 0.360620 | + | 1.34585i | 0.873263 | + | 0.487249i | \(0.162000\pi\) |
−0.512643 | + | 0.858602i | \(0.671334\pi\) | |||||||
\(68\) | −12.0825 | − | 45.9771i | −0.177684 | − | 0.676134i | ||||
\(69\) | −28.4219 | − | 1.01902i | −0.411912 | − | 0.0147683i | ||||
\(70\) | −32.9674 | − | 25.4232i | −0.470963 | − | 0.363188i | ||||
\(71\) | 124.525 | 1.75387 | 0.876935 | − | 0.480609i | \(-0.159584\pi\) | ||||
0.876935 | + | 0.480609i | \(0.159584\pi\) | |||||||
\(72\) | 14.9950 | − | 70.4212i | 0.208263 | − | 0.978073i | ||||
\(73\) | 86.4217i | 1.18386i | 0.805990 | + | 0.591930i | \(0.201634\pi\) | ||||
−0.805990 | + | 0.591930i | \(0.798366\pi\) | |||||||
\(74\) | −21.6244 | − | 16.6759i | −0.292222 | − | 0.225350i | ||||
\(75\) | −25.4125 | − | 15.9124i | −0.338834 | − | 0.212166i | ||||
\(76\) | 57.4353 | − | 98.3836i | 0.755728 | − | 1.29452i | ||||
\(77\) | 67.1344 | − | 17.9886i | 0.871875 | − | 0.233618i | ||||
\(78\) | 45.5394 | − | 54.8693i | 0.583838 | − | 0.703453i | ||||
\(79\) | 46.4211 | + | 80.4037i | 0.587609 | + | 1.01777i | 0.994545 | + | 0.104311i | \(0.0332639\pi\) |
−0.406936 | + | 0.913457i | \(0.633403\pi\) | |||||||
\(80\) | 43.4018 | + | 44.2460i | 0.542522 | + | 0.553075i | ||||
\(81\) | −30.0632 | − | 75.2144i | −0.371150 | − | 0.928573i | ||||
\(82\) | 18.0783 | − | 43.3493i | 0.220467 | − | 0.528650i | ||||
\(83\) | 20.2421 | − | 75.5446i | 0.243881 | − | 0.910176i | −0.730062 | − | 0.683381i | \(-0.760509\pi\) |
0.973943 | − | 0.226795i | \(-0.0728247\pi\) | |||||||
\(84\) | −61.5564 | − | 19.2072i | −0.732815 | − | 0.228657i | ||||
\(85\) | 44.4685 | − | 11.9153i | 0.523159 | − | 0.140180i | ||||
\(86\) | −20.0580 | + | 149.571i | −0.233232 | + | 1.73920i | ||||
\(87\) | −60.9322 | + | 14.0075i | −0.700370 | + | 0.161006i | ||||
\(88\) | −102.682 | + | 12.7644i | −1.16684 | + | 0.145050i | ||||
\(89\) | −164.215 | −1.84511 | −0.922556 | − | 0.385863i | \(-0.873904\pi\) | ||||
−0.922556 | + | 0.385863i | \(0.873904\pi\) | |||||||
\(90\) | 68.2668 | + | 14.1929i | 0.758520 | + | 0.157699i | ||||
\(91\) | −45.1569 | − | 45.1569i | −0.496229 | − | 0.496229i | ||||
\(92\) | 9.99077 | − | 36.5805i | 0.108595 | − | 0.397614i | ||||
\(93\) | 116.093 | + | 4.16230i | 1.24831 | + | 0.0447559i | ||||
\(94\) | 33.8770 | − | 25.8654i | 0.360394 | − | 0.275164i | ||||
\(95\) | 95.5439 | + | 55.1623i | 1.00573 | + | 0.580656i | ||||
\(96\) | 86.8326 | + | 40.9403i | 0.904506 | + | 0.426461i | ||||
\(97\) | 15.8533 | + | 27.4588i | 0.163437 | + | 0.283080i | 0.936099 | − | 0.351737i | \(-0.114409\pi\) |
−0.772662 | + | 0.634817i | \(0.781075\pi\) | |||||||
\(98\) | 15.4919 | − | 37.1475i | 0.158081 | − | 0.379056i | ||||
\(99\) | −87.9951 | + | 76.2057i | −0.888839 | + | 0.769755i | ||||
\(100\) | 28.4044 | − | 28.1321i | 0.284044 | − | 0.281321i | ||||
\(101\) | −120.067 | − | 32.1718i | −1.18878 | − | 0.318532i | −0.390376 | − | 0.920656i | \(-0.627655\pi\) |
−0.798403 | + | 0.602123i | \(0.794322\pi\) | |||||||
\(102\) | 58.1904 | − | 41.2143i | 0.570494 | − | 0.404062i | ||||
\(103\) | −163.306 | − | 94.2846i | −1.58549 | − | 0.915384i | −0.994037 | − | 0.109046i | \(-0.965220\pi\) |
−0.591455 | − | 0.806338i | \(-0.701446\pi\) | |||||||
\(104\) | 57.3310 | + | 75.8434i | 0.551260 | + | 0.729264i | ||||
\(105\) | 18.3134 | − | 59.7017i | 0.174414 | − | 0.568587i | ||||
\(106\) | 37.0050 | − | 47.9862i | 0.349104 | − | 0.452700i | ||||
\(107\) | 96.3954 | − | 96.3954i | 0.900891 | − | 0.900891i | −0.0946220 | − | 0.995513i | \(-0.530164\pi\) |
0.995513 | + | 0.0946220i | \(0.0301642\pi\) | |||||||
\(108\) | 106.796 | − | 16.0827i | 0.988850 | − | 0.148914i | ||||
\(109\) | −111.267 | + | 111.267i | −1.02079 | + | 1.02079i | −0.0210151 | + | 0.999779i | \(0.506690\pi\) |
−0.999779 | + | 0.0210151i | \(0.993310\pi\) | |||||||
\(110\) | −12.8401 | − | 99.3791i | −0.116729 | − | 0.903447i | ||||
\(111\) | 12.0124 | − | 39.1603i | 0.108220 | − | 0.352796i | ||||
\(112\) | 43.7041 | − | 74.0415i | 0.390215 | − | 0.661085i | ||||
\(113\) | −53.6807 | − | 30.9926i | −0.475051 | − | 0.274271i | 0.243301 | − | 0.969951i | \(-0.421770\pi\) |
−0.718352 | + | 0.695680i | \(0.755103\pi\) | |||||||
\(114\) | 168.444 | + | 28.7664i | 1.47758 | + | 0.252337i | ||||
\(115\) | 35.4716 | + | 9.50459i | 0.308449 | + | 0.0826486i | ||||
\(116\) | 0.401466 | − | 83.3611i | 0.00346092 | − | 0.718630i | ||||
\(117\) | 101.066 | + | 35.0105i | 0.863812 | + | 0.299235i | ||||
\(118\) | 17.7109 | + | 43.0509i | 0.150093 | + | 0.364838i | ||||
\(119\) | −31.9316 | − | 55.3071i | −0.268332 | − | 0.464765i | ||||
\(120\) | −39.2421 | + | 84.2808i | −0.327018 | + | 0.702340i | ||||
\(121\) | 40.0879 | + | 23.1447i | 0.331305 | + | 0.191279i | ||||
\(122\) | −120.934 | − | 16.2176i | −0.991259 | − | 0.132931i | ||||
\(123\) | 70.4067 | + | 2.52430i | 0.572412 | + | 0.0205228i | ||||
\(124\) | −40.8086 | + | 149.418i | −0.329101 | + | 1.20498i | ||||
\(125\) | 95.8540 | + | 95.8540i | 0.766832 | + | 0.766832i | ||||
\(126\) | −5.49259 | − | 96.5691i | −0.0435920 | − | 0.766421i | ||||
\(127\) | −56.7743 | −0.447041 | −0.223521 | − | 0.974699i | \(-0.571755\pi\) | ||||
−0.223521 | + | 0.974699i | \(0.571755\pi\) | |||||||
\(128\) | −79.6220 | + | 100.221i | −0.622047 | + | 0.782980i | ||||
\(129\) | −220.611 | + | 50.7158i | −1.71016 | + | 0.393145i | ||||
\(130\) | −73.1804 | + | 55.8739i | −0.562926 | + | 0.429799i | ||||
\(131\) | 53.4982 | − | 14.3348i | 0.408383 | − | 0.109426i | −0.0487784 | − | 0.998810i | \(-0.515533\pi\) |
0.457161 | + | 0.889384i | \(0.348866\pi\) | |||||||
\(132\) | −72.0772 | − | 137.457i | −0.546039 | − | 1.04134i | ||||
\(133\) | 39.6104 | − | 147.828i | 0.297823 | − | 1.11149i | ||||
\(134\) | −71.0337 | − | 172.665i | −0.530102 | − | 1.28855i | ||||
\(135\) | 16.0728 | + | 103.348i | 0.119058 | + | 0.765537i | ||||
\(136\) | 35.7487 | + | 88.0998i | 0.262858 | + | 0.647792i | ||||
\(137\) | −52.5810 | − | 91.0730i | −0.383803 | − | 0.664766i | 0.607799 | − | 0.794091i | \(-0.292052\pi\) |
−0.991602 | + | 0.129324i | \(0.958719\pi\) | |||||||
\(138\) | 56.6364 | − | 5.26265i | 0.410409 | − | 0.0381352i | ||||
\(139\) | −97.9157 | + | 26.2364i | −0.704429 | + | 0.188751i | −0.593214 | − | 0.805045i | \(-0.702141\pi\) |
−0.111216 | + | 0.993796i | \(0.535474\pi\) | |||||||
\(140\) | 71.9067 | + | 41.9784i | 0.513619 | + | 0.299845i | ||||
\(141\) | 54.1872 | + | 33.9301i | 0.384306 | + | 0.240639i | ||||
\(142\) | −246.996 | + | 31.9128i | −1.73941 | + | 0.224738i | ||||
\(143\) | − | 153.711i | − | 1.07491i | ||||||
\(144\) | −11.6954 | + | 143.524i | −0.0812179 | + | 0.996696i | ||||
\(145\) | 80.7299 | 0.556758 | ||||||||
\(146\) | −22.1479 | − | 171.419i | −0.151698 | − | 1.17410i | ||||
\(147\) | 60.3339 | + | 2.16316i | 0.410435 | + | 0.0147154i | ||||
\(148\) | 47.1660 | + | 27.5350i | 0.318689 | + | 0.186047i | ||||
\(149\) | 54.4787 | + | 203.317i | 0.365629 | + | 1.36454i | 0.866566 | + | 0.499062i | \(0.166322\pi\) |
−0.500938 | + | 0.865483i | \(0.667011\pi\) | |||||||
\(150\) | 54.4840 | + | 25.0499i | 0.363227 | + | 0.166999i | ||||
\(151\) | −126.469 | + | 73.0167i | −0.837541 | + | 0.483554i | −0.856428 | − | 0.516267i | \(-0.827321\pi\) |
0.0188867 | + | 0.999822i | \(0.493988\pi\) | |||||||
\(152\) | −88.7102 | + | 209.865i | −0.583620 | + | 1.38069i | ||||
\(153\) | 88.5632 | + | 59.9769i | 0.578844 | + | 0.392006i | ||||
\(154\) | −128.552 | + | 52.8856i | −0.834752 | + | 0.343413i | ||||
\(155\) | −144.888 | − | 38.8227i | −0.934764 | − | 0.250469i | ||||
\(156\) | −76.2661 | + | 120.505i | −0.488886 | + | 0.772466i | ||||
\(157\) | 27.0148 | + | 100.820i | 0.172069 | + | 0.642168i | 0.997032 | + | 0.0769830i | \(0.0245287\pi\) |
−0.824964 | + | 0.565185i | \(0.808805\pi\) | |||||||
\(158\) | −112.682 | − | 147.585i | −0.713180 | − | 0.934083i | ||||
\(159\) | 86.8995 | + | 26.6564i | 0.546538 | + | 0.167650i | ||||
\(160\) | −97.4272 | − | 76.6396i | −0.608920 | − | 0.478998i | ||||
\(161\) | − | 50.9423i | − | 0.316412i | ||||||
\(162\) | 78.9064 | + | 141.484i | 0.487077 | + | 0.873359i | ||||
\(163\) | 33.4075 | − | 33.4075i | 0.204954 | − | 0.204954i | −0.597165 | − | 0.802119i | \(-0.703706\pi\) |
0.802119 | + | 0.597165i | \(0.203706\pi\) | |||||||
\(164\) | −24.7491 | + | 90.6169i | −0.150909 | + | 0.552542i | ||||
\(165\) | 132.780 | − | 70.4416i | 0.804725 | − | 0.426919i | ||||
\(166\) | −20.7902 | + | 155.031i | −0.125242 | + | 0.933923i | ||||
\(167\) | −83.3490 | + | 144.365i | −0.499096 | + | 0.864459i | −0.999999 | − | 0.00104367i | \(-0.999668\pi\) |
0.500904 | + | 0.865503i | \(0.333001\pi\) | |||||||
\(168\) | 127.020 | + | 22.3223i | 0.756073 | + | 0.132871i | ||||
\(169\) | 24.0448 | − | 13.8823i | 0.142277 | − | 0.0821437i | ||||
\(170\) | −85.1503 | + | 35.0304i | −0.500884 | + | 0.206061i | ||||
\(171\) | 48.4402 | + | 251.705i | 0.283276 | + | 1.47196i | ||||
\(172\) | 1.45355 | − | 301.817i | 0.00845087 | − | 1.75475i | ||||
\(173\) | −18.3433 | + | 68.4582i | −0.106031 | + | 0.395712i | −0.998460 | − | 0.0554750i | \(-0.982333\pi\) |
0.892429 | + | 0.451187i | \(0.148999\pi\) | |||||||
\(174\) | 117.270 | − | 43.3997i | 0.673965 | − | 0.249423i | ||||
\(175\) | 26.8532 | − | 46.5111i | 0.153447 | − | 0.265778i | ||||
\(176\) | 200.400 | − | 51.6334i | 1.13864 | − | 0.293372i | ||||
\(177\) | −51.1129 | + | 47.5747i | −0.288774 | + | 0.268783i | ||||
\(178\) | 325.722 | − | 42.0845i | 1.82990 | − | 0.236430i | ||||
\(179\) | −145.221 | − | 145.221i | −0.811290 | − | 0.811290i | 0.173538 | − | 0.984827i | \(-0.444480\pi\) |
−0.984827 | + | 0.173538i | \(0.944480\pi\) | |||||||
\(180\) | −139.045 | − | 10.6566i | −0.772475 | − | 0.0592033i | ||||
\(181\) | 84.5981 | + | 84.5981i | 0.467393 | + | 0.467393i | 0.901069 | − | 0.433676i | \(-0.142784\pi\) |
−0.433676 | + | 0.901069i | \(0.642784\pi\) | |||||||
\(182\) | 101.142 | + | 77.9965i | 0.555725 | + | 0.428552i | ||||
\(183\) | −41.0054 | − | 178.372i | −0.224073 | − | 0.974708i | ||||
\(184\) | −10.4421 | + | 75.1182i | −0.0567505 | + | 0.408251i | ||||
\(185\) | −26.4453 | + | 45.8046i | −0.142948 | + | 0.247592i | ||||
\(186\) | −231.339 | + | 21.4960i | −1.24376 | + | 0.115570i | ||||
\(187\) | 39.7845 | − | 148.478i | 0.212751 | − | 0.793998i | ||||
\(188\) | −60.5668 | + | 59.9862i | −0.322164 | + | 0.319075i | ||||
\(189\) | 132.709 | − | 58.6420i | 0.702162 | − | 0.310275i | ||||
\(190\) | −203.649 | − | 84.9294i | −1.07184 | − | 0.446997i | ||||
\(191\) | −9.02196 | + | 5.20883i | −0.0472354 | + | 0.0272714i | −0.523432 | − | 0.852068i | \(-0.675348\pi\) |
0.476196 | + | 0.879339i | \(0.342015\pi\) | |||||||
\(192\) | −182.726 | − | 58.9524i | −0.951695 | − | 0.307044i | ||||
\(193\) | 81.1839 | − | 140.615i | 0.420642 | − | 0.728573i | −0.575361 | − | 0.817900i | \(-0.695138\pi\) |
0.996002 | + | 0.0893270i | \(0.0284716\pi\) | |||||||
\(194\) | −38.4824 | − | 50.4020i | −0.198363 | − | 0.259804i | ||||
\(195\) | −117.054 | − | 73.2952i | −0.600277 | − | 0.375873i | ||||
\(196\) | −21.2083 | + | 77.6528i | −0.108206 | + | 0.396188i | ||||
\(197\) | −158.587 | + | 158.587i | −0.805013 | + | 0.805013i | −0.983874 | − | 0.178862i | \(-0.942759\pi\) |
0.178862 | + | 0.983874i | \(0.442759\pi\) | |||||||
\(198\) | 155.010 | − | 173.706i | 0.782877 | − | 0.877304i | ||||
\(199\) | 88.5298i | 0.444874i | 0.974947 | + | 0.222437i | \(0.0714011\pi\) | ||||
−0.974947 | + | 0.222437i | \(0.928599\pi\) | |||||||
\(200\) | −49.1309 | + | 63.0798i | −0.245654 | + | 0.315399i | ||||
\(201\) | 205.000 | − | 190.809i | 1.01990 | − | 0.949298i | ||||
\(202\) | 246.399 | + | 33.0428i | 1.21980 | + | 0.163578i | ||||
\(203\) | −28.9849 | − | 108.173i | −0.142783 | − | 0.532872i | ||||
\(204\) | −104.859 | + | 96.6620i | −0.514015 | + | 0.473833i | ||||
\(205\) | −87.8701 | − | 23.5447i | −0.428635 | − | 0.114852i | ||||
\(206\) | 348.082 | + | 145.163i | 1.68972 | + | 0.704675i | ||||
\(207\) | 37.2592 | + | 76.7551i | 0.179996 | + | 0.370798i | ||||
\(208\) | −133.154 | − | 135.744i | −0.640162 | − | 0.652614i | ||||
\(209\) | 319.015 | − | 184.184i | 1.52639 | − | 0.881261i | ||||
\(210\) | −21.0248 | + | 123.112i | −0.100118 | + | 0.586249i | ||||
\(211\) | −75.6516 | − | 282.335i | −0.358538 | − | 1.33808i | −0.875973 | − | 0.482360i | \(-0.839780\pi\) |
0.517435 | − | 0.855723i | \(-0.326887\pi\) | |||||||
\(212\) | −61.1021 | + | 104.665i | −0.288218 | + | 0.493701i | ||||
\(213\) | −175.075 | − | 330.010i | −0.821950 | − | 1.54934i | ||||
\(214\) | −166.498 | + | 215.905i | −0.778026 | + | 1.00890i | ||||
\(215\) | 292.291 | 1.35949 | ||||||||
\(216\) | −207.709 | + | 59.2696i | −0.961617 | + | 0.274396i | ||||
\(217\) | 208.080i | 0.958895i | ||||||||
\(218\) | 192.184 | − | 249.214i | 0.881576 | − | 1.14318i | ||||
\(219\) | 229.031 | − | 121.504i | 1.04580 | − | 0.554815i | ||||
\(220\) | 50.9371 | + | 193.829i | 0.231532 | + | 0.881042i | ||||
\(221\) | −136.427 | + | 36.5554i | −0.617315 | + | 0.165409i | ||||
\(222\) | −13.7909 | + | 80.7535i | −0.0621210 | + | 0.363754i | ||||
\(223\) | −39.5000 | − | 68.4160i | −0.177130 | − | 0.306798i | 0.763766 | − | 0.645493i | \(-0.223348\pi\) |
−0.940896 | + | 0.338695i | \(0.890015\pi\) | |||||||
\(224\) | −67.7126 | + | 158.063i | −0.302288 | + | 0.705637i | ||||
\(225\) | −6.44170 | + | 89.7191i | −0.0286298 | + | 0.398752i | ||||
\(226\) | 114.419 | + | 47.7170i | 0.506279 | + | 0.211137i | ||||
\(227\) | −39.7756 | + | 148.445i | −0.175223 | + | 0.653941i | 0.821290 | + | 0.570510i | \(0.193255\pi\) |
−0.996514 | + | 0.0834312i | \(0.973412\pi\) | |||||||
\(228\) | −341.483 | − | 13.8902i | −1.49773 | − | 0.0609219i | ||||
\(229\) | 142.591 | − | 38.2072i | 0.622669 | − | 0.166844i | 0.0663280 | − | 0.997798i | \(-0.478872\pi\) |
0.556341 | + | 0.830954i | \(0.312205\pi\) | |||||||
\(230\) | −72.7942 | − | 9.76192i | −0.316497 | − | 0.0424431i | ||||
\(231\) | −142.060 | − | 152.625i | −0.614978 | − | 0.660716i | ||||
\(232\) | 20.5672 | + | 165.451i | 0.0886517 | + | 0.713149i | ||||
\(233\) | 232.917 | 0.999644 | 0.499822 | − | 0.866128i | \(-0.333399\pi\) | ||||
0.499822 | + | 0.866128i | \(0.333399\pi\) | |||||||
\(234\) | −209.438 | − | 43.5429i | −0.895034 | − | 0.186081i | ||||
\(235\) | −58.3739 | − | 58.3739i | −0.248400 | − | 0.248400i | ||||
\(236\) | −46.1628 | − | 80.8531i | −0.195605 | − | 0.342598i | ||||
\(237\) | 147.816 | − | 236.066i | 0.623698 | − | 0.996061i | ||||
\(238\) | 77.5106 | + | 101.519i | 0.325675 | + | 0.426550i | ||||
\(239\) | −71.3891 | − | 41.2165i | −0.298699 | − | 0.172454i | 0.343159 | − | 0.939277i | \(-0.388503\pi\) |
−0.641858 | + | 0.766823i | \(0.721836\pi\) | |||||||
\(240\) | 56.2381 | − | 177.229i | 0.234325 | − | 0.738454i | ||||
\(241\) | 177.458 | + | 307.367i | 0.736342 | + | 1.27538i | 0.954132 | + | 0.299387i | \(0.0967820\pi\) |
−0.217790 | + | 0.975996i | \(0.569885\pi\) | |||||||
\(242\) | −85.4462 | − | 35.6343i | −0.353084 | − | 0.147249i | ||||
\(243\) | −157.062 | + | 185.420i | −0.646347 | + | 0.763043i | ||||
\(244\) | 244.030 | + | 1.17524i | 1.00012 | + | 0.00481658i | ||||
\(245\) | −75.2989 | − | 20.1763i | −0.307342 | − | 0.0823522i | ||||
\(246\) | −140.299 | + | 13.0366i | −0.570323 | + | 0.0529944i | ||||
\(247\) | −293.122 | − | 169.234i | −1.18673 | − | 0.685159i | ||||
\(248\) | 42.6521 | − | 306.830i | 0.171984 | − | 1.23722i | ||||
\(249\) | −228.664 | + | 52.5671i | −0.918330 | + | 0.211113i | ||||
\(250\) | −214.693 | − | 165.562i | −0.858771 | − | 0.662250i | ||||
\(251\) | −88.3235 | + | 88.3235i | −0.351886 | + | 0.351886i | −0.860811 | − | 0.508925i | \(-0.830043\pi\) |
0.508925 | + | 0.860811i | \(0.330043\pi\) | |||||||
\(252\) | 35.6431 | + | 190.138i | 0.141441 | + | 0.754517i | ||||
\(253\) | 86.7023 | − | 86.7023i | 0.342697 | − | 0.342697i | ||||
\(254\) | 112.612 | − | 14.5499i | 0.443356 | − | 0.0572832i | ||||
\(255\) | −94.0978 | − | 101.096i | −0.369011 | − | 0.396455i | ||||
\(256\) | 132.247 | − | 219.196i | 0.516589 | − | 0.856233i | ||||
\(257\) | −224.014 | − | 129.334i | −0.871649 | − | 0.503247i | −0.00375325 | − | 0.999993i | \(-0.501195\pi\) |
−0.867896 | + | 0.496746i | \(0.834528\pi\) | |||||||
\(258\) | 424.588 | − | 157.133i | 1.64569 | − | 0.609042i | ||||
\(259\) | 70.8701 | + | 18.9896i | 0.273630 | + | 0.0733189i | ||||
\(260\) | 130.835 | − | 129.581i | 0.503212 | − | 0.498388i | ||||
\(261\) | 122.790 | + | 141.786i | 0.470458 | + | 0.543240i | ||||
\(262\) | −102.441 | + | 42.1436i | −0.390995 | + | 0.160853i | ||||
\(263\) | 217.325 | + | 376.418i | 0.826331 | + | 1.43125i | 0.900898 | + | 0.434031i | \(0.142909\pi\) |
−0.0745671 | + | 0.997216i | \(0.523757\pi\) | |||||||
\(264\) | 178.193 | + | 254.177i | 0.674974 | + | 0.962791i | ||||
\(265\) | −101.644 | − | 58.6840i | −0.383561 | − | 0.221449i | ||||
\(266\) | −40.6829 | + | 303.370i | −0.152943 | + | 1.14049i | ||||
\(267\) | 230.878 | + | 435.195i | 0.864710 | + | 1.62994i | ||||
\(268\) | 185.146 | + | 324.279i | 0.690844 | + | 1.21000i | ||||
\(269\) | 6.46656 | + | 6.46656i | 0.0240393 | + | 0.0240393i | 0.719024 | − | 0.694985i | \(-0.244589\pi\) |
−0.694985 | + | 0.719024i | \(0.744589\pi\) | |||||||
\(270\) | −58.3662 | − | 200.872i | −0.216171 | − | 0.743970i | ||||
\(271\) | −162.021 | −0.597863 | −0.298932 | − | 0.954275i | \(-0.596630\pi\) | ||||
−0.298932 | + | 0.954275i | \(0.596630\pi\) | |||||||
\(272\) | −93.4859 | − | 165.585i | −0.343698 | − | 0.608770i | ||||
\(273\) | −56.1844 | + | 183.161i | −0.205804 | + | 0.670919i | ||||
\(274\) | 127.635 | + | 167.169i | 0.465821 | + | 0.610106i | ||||
\(275\) | 124.864 | − | 33.4572i | 0.454051 | − | 0.121663i | ||||
\(276\) | −110.990 | + | 24.9531i | −0.402139 | + | 0.0904099i | ||||
\(277\) | 67.8658 | − | 253.279i | 0.245003 | − | 0.914364i | −0.728379 | − | 0.685175i | \(-0.759726\pi\) |
0.973382 | − | 0.229189i | \(-0.0736075\pi\) | |||||||
\(278\) | 187.493 | − | 77.1338i | 0.674436 | − | 0.277460i | ||||
\(279\) | −152.190 | − | 313.516i | −0.545484 | − | 1.12371i | ||||
\(280\) | −153.386 | − | 64.8366i | −0.547807 | − | 0.231559i | ||||
\(281\) | 128.998 | + | 223.431i | 0.459067 | + | 0.795127i | 0.998912 | − | 0.0466376i | \(-0.0148506\pi\) |
−0.539845 | + | 0.841764i | \(0.681517\pi\) | |||||||
\(282\) | −116.176 | − | 53.4139i | −0.411973 | − | 0.189411i | ||||
\(283\) | −65.1839 | + | 17.4660i | −0.230332 | + | 0.0617172i | −0.372139 | − | 0.928177i | \(-0.621375\pi\) |
0.141807 | + | 0.989894i | \(0.454709\pi\) | |||||||
\(284\) | 481.742 | − | 126.599i | 1.69628 | − | 0.445771i | ||||
\(285\) | 11.8588 | − | 330.761i | 0.0416099 | − | 1.16057i | ||||
\(286\) | 39.3927 | + | 304.889i | 0.137737 | + | 1.06604i | ||||
\(287\) | 126.194i | 0.439700i | ||||||||
\(288\) | −13.5840 | − | 287.679i | −0.0471667 | − | 0.998887i | ||||
\(289\) | 147.757 | 0.511271 | ||||||||
\(290\) | −160.129 | + | 20.6892i | −0.552168 | + | 0.0713421i | ||||
\(291\) | 50.4811 | − | 80.6194i | 0.173474 | − | 0.277043i | ||||
\(292\) | 87.8612 | + | 334.335i | 0.300895 | + | 1.14498i | ||||
\(293\) | −113.090 | − | 422.058i | −0.385973 | − | 1.44047i | −0.836628 | − | 0.547772i | \(-0.815476\pi\) |
0.450655 | − | 0.892698i | \(-0.351191\pi\) | |||||||
\(294\) | −120.227 | + | 11.1715i | −0.408937 | + | 0.0379984i | ||||
\(295\) | 78.0840 | − | 45.0818i | 0.264691 | − | 0.152820i | ||||
\(296\) | −100.611 | − | 42.5285i | −0.339902 | − | 0.143677i | ||||
\(297\) | 325.673 | + | 126.059i | 1.09654 | + | 0.424442i | ||||
\(298\) | −160.165 | − | 389.321i | −0.537465 | − | 1.30644i | ||||
\(299\) | −108.825 | − | 29.1595i | −0.363962 | − | 0.0975232i | ||||
\(300\) | −114.489 | − | 35.7237i | −0.381632 | − | 0.119079i | ||||
\(301\) | −104.943 | − | 391.652i | −0.348647 | − | 1.30117i | ||||
\(302\) | 232.140 | − | 177.241i | 0.768675 | − | 0.586889i | ||||
\(303\) | 83.5473 | + | 363.427i | 0.275734 | + | 1.19943i | ||||
\(304\) | 122.174 | − | 439.003i | 0.401890 | − | 1.44409i | ||||
\(305\) | 236.327i | 0.774843i | ||||||||
\(306\) | −191.037 | − | 96.2682i | −0.624304 | − | 0.314602i | ||||
\(307\) | 281.005 | − | 281.005i | 0.915324 | − | 0.915324i | −0.0813605 | − | 0.996685i | \(-0.525927\pi\) |
0.996685 | + | 0.0813605i | \(0.0259265\pi\) | |||||||
\(308\) | 241.431 | − | 137.844i | 0.783866 | − | 0.447546i | ||||
\(309\) | −20.2694 | + | 565.344i | −0.0655966 | + | 1.82959i | ||||
\(310\) | 297.337 | + | 39.8738i | 0.959152 | + | 0.128625i | ||||
\(311\) | 93.6716 | − | 162.244i | 0.301195 | − | 0.521685i | −0.675212 | − | 0.737624i | \(-0.735948\pi\) |
0.976407 | + | 0.215939i | \(0.0692812\pi\) | |||||||
\(312\) | 120.392 | − | 258.568i | 0.385873 | − | 0.828743i | ||||
\(313\) | 147.960 | − | 85.4249i | 0.472716 | − | 0.272923i | −0.244660 | − | 0.969609i | \(-0.578676\pi\) |
0.717376 | + | 0.696686i | \(0.245343\pi\) | |||||||
\(314\) | −79.4221 | − | 193.055i | −0.252937 | − | 0.614826i | ||||
\(315\) | −183.966 | + | 35.4040i | −0.584020 | + | 0.112394i | ||||
\(316\) | 261.330 | + | 263.859i | 0.826992 | + | 0.834997i | ||||
\(317\) | −148.256 | + | 553.300i | −0.467685 | + | 1.74543i | 0.180144 | + | 0.983640i | \(0.442344\pi\) |
−0.647829 | + | 0.761786i | \(0.724323\pi\) | |||||||
\(318\) | −179.198 | − | 30.6029i | −0.563515 | − | 0.0962355i | ||||
\(319\) | 134.776 | − | 233.439i | 0.422495 | − | 0.731783i | ||||
\(320\) | 212.889 | + | 127.047i | 0.665278 | + | 0.397023i | ||||
\(321\) | −390.989 | − | 119.936i | −1.21804 | − | 0.373631i | ||||
\(322\) | 13.0553 | + | 101.045i | 0.0405445 | + | 0.313803i | ||||
\(323\) | −239.340 | − | 239.340i | −0.740990 | − | 0.740990i | ||||
\(324\) | −192.771 | − | 260.414i | −0.594972 | − | 0.803746i | ||||
\(325\) | −83.9877 | − | 83.9877i | −0.258424 | − | 0.258424i | ||||
\(326\) | −57.7027 | + | 74.8258i | −0.177002 | + | 0.229527i | ||||
\(327\) | 451.308 | + | 138.438i | 1.38015 | + | 0.423359i | ||||
\(328\) | 25.8671 | − | 186.082i | 0.0788631 | − | 0.567325i | ||||
\(329\) | −57.2591 | + | 99.1757i | −0.174040 | + | 0.301446i | ||||
\(330\) | −245.317 | + | 173.750i | −0.743386 | + | 0.526516i | ||||
\(331\) | −17.5294 | + | 65.4206i | −0.0529589 | + | 0.197645i | −0.987337 | − | 0.158638i | \(-0.949290\pi\) |
0.934378 | + | 0.356284i | \(0.115956\pi\) | |||||||
\(332\) | 1.50661 | − | 312.835i | 0.00453798 | − | 0.942273i | ||||
\(333\) | −120.670 | + | 23.2227i | −0.362371 | + | 0.0697377i | ||||
\(334\) | 128.326 | − | 307.710i | 0.384211 | − | 0.921286i | ||||
\(335\) | −313.173 | + | 180.811i | −0.934845 | + | 0.539733i | ||||
\(336\) | −257.667 | − | 11.7241i | −0.766866 | − | 0.0348932i | ||||
\(337\) | −165.268 | + | 286.252i | −0.490409 | + | 0.849413i | −0.999939 | − | 0.0110397i | \(-0.996486\pi\) |
0.509530 | + | 0.860453i | \(0.329819\pi\) | |||||||
\(338\) | −44.1355 | + | 33.6978i | −0.130578 | + | 0.0996977i | ||||
\(339\) | −6.66281 | + | 185.836i | −0.0196543 | + | 0.548189i | ||||
\(340\) | 159.919 | − | 91.3053i | 0.470351 | − | 0.268545i | ||||
\(341\) | −354.147 | + | 354.147i | −1.03855 | + | 1.03855i | ||||
\(342\) | −160.588 | − | 486.846i | −0.469555 | − | 1.42353i | ||||
\(343\) | 371.447i | 1.08294i | ||||||||
\(344\) | 74.4657 | + | 599.031i | 0.216470 | + | 1.74137i | ||||
\(345\) | −24.6826 | − | 107.368i | −0.0715438 | − | 0.311212i | ||||
\(346\) | 18.8400 | − | 140.489i | 0.0544508 | − | 0.406037i | ||||
\(347\) | 152.939 | + | 570.776i | 0.440747 | + | 1.64489i | 0.726928 | + | 0.686713i | \(0.240947\pi\) |
−0.286182 | + | 0.958175i | \(0.592386\pi\) | |||||||
\(348\) | −221.484 | + | 116.137i | −0.636448 | + | 0.333728i | ||||
\(349\) | −481.904 | − | 129.126i | −1.38081 | − | 0.369988i | −0.509396 | − | 0.860532i | \(-0.670131\pi\) |
−0.871416 | + | 0.490544i | \(0.836798\pi\) | |||||||
\(350\) | −41.3439 | + | 99.1372i | −0.118125 | + | 0.283249i | ||||
\(351\) | −49.3103 | − | 317.063i | −0.140485 | − | 0.903314i | ||||
\(352\) | −384.263 | + | 153.773i | −1.09166 | + | 0.436856i | ||||
\(353\) | 100.398 | − | 57.9648i | 0.284413 | − | 0.164206i | −0.351006 | − | 0.936373i | \(-0.614160\pi\) |
0.635420 | + | 0.772167i | \(0.280827\pi\) | |||||||
\(354\) | 89.1909 | − | 107.464i | 0.251952 | − | 0.303571i | ||||
\(355\) | 124.847 | + | 465.935i | 0.351682 | + | 1.31249i | ||||
\(356\) | −635.289 | + | 166.950i | −1.78452 | + | 0.468961i | ||||
\(357\) | −101.678 | + | 162.382i | −0.284813 | + | 0.454853i | ||||
\(358\) | 325.264 | + | 250.831i | 0.908559 | + | 0.700644i | ||||
\(359\) | 598.738 | 1.66780 | 0.833898 | − | 0.551919i | \(-0.186104\pi\) | ||||
0.833898 | + | 0.551919i | \(0.186104\pi\) | |||||||
\(360\) | 278.529 | − | 14.4967i | 0.773693 | − | 0.0402685i | ||||
\(361\) | − | 450.135i | − | 1.24691i | ||||||
\(362\) | −189.482 | − | 146.121i | −0.523431 | − | 0.403649i | ||||
\(363\) | 4.97567 | − | 138.779i | 0.0137071 | − | 0.382312i | ||||
\(364\) | −220.605 | − | 128.787i | −0.606057 | − | 0.353810i | ||||
\(365\) | −323.365 | + | 86.6453i | −0.885931 | + | 0.237384i | ||||
\(366\) | 127.047 | + | 343.294i | 0.347124 | + | 0.937961i | ||||
\(367\) | −30.0248 | − | 52.0045i | −0.0818115 | − | 0.141702i | 0.822217 | − | 0.569175i | \(-0.192737\pi\) |
−0.904028 | + | 0.427473i | \(0.859404\pi\) | |||||||
\(368\) | 1.46096 | − | 151.674i | 0.00396999 | − | 0.412158i | ||||
\(369\) | −92.2983 | − | 190.137i | −0.250131 | − | 0.515278i | ||||
\(370\) | 40.7159 | − | 97.6313i | 0.110043 | − | 0.263868i | ||||
\(371\) | −42.1393 | + | 157.266i | −0.113583 | + | 0.423897i | ||||
\(372\) | 453.354 | − | 101.924i | 1.21869 | − | 0.273990i | ||||
\(373\) | −599.280 | + | 160.577i | −1.60665 | + | 0.430500i | −0.947042 | − | 0.321111i | \(-0.895944\pi\) |
−0.659607 | + | 0.751611i | \(0.729277\pi\) | |||||||
\(374\) | −40.8616 | + | 304.703i | −0.109256 | + | 0.814715i | ||||
\(375\) | 119.262 | − | 388.793i | 0.318032 | − | 1.03678i | ||||
\(376\) | 104.762 | − | 134.505i | 0.278622 | − | 0.357727i | ||||
\(377\) | −247.674 | −0.656960 | ||||||||
\(378\) | −248.201 | + | 150.327i | −0.656615 | + | 0.397691i | ||||
\(379\) | −128.337 | − | 128.337i | −0.338620 | − | 0.338620i | 0.517228 | − | 0.855848i | \(-0.326964\pi\) |
−0.855848 | + | 0.517228i | \(0.826964\pi\) | |||||||
\(380\) | 425.707 | + | 116.268i | 1.12028 | + | 0.305968i | ||||
\(381\) | 79.8216 | + | 150.460i | 0.209506 | + | 0.394909i | ||||
\(382\) | 16.5603 | − | 12.6439i | 0.0433515 | − | 0.0330992i | ||||
\(383\) | −56.1996 | − | 32.4468i | −0.146735 | − | 0.0847176i | 0.424835 | − | 0.905271i | \(-0.360332\pi\) |
−0.571570 | + | 0.820553i | \(0.693665\pi\) | |||||||
\(384\) | 377.547 | + | 70.1045i | 0.983194 | + | 0.182564i | ||||
\(385\) | 134.616 | + | 233.162i | 0.349652 | + | 0.605616i | ||||
\(386\) | −124.993 | + | 299.716i | −0.323816 | + | 0.776467i | ||||
\(387\) | 444.572 | + | 513.350i | 1.14877 | + | 1.32648i | ||||
\(388\) | 89.2471 | + | 90.1109i | 0.230018 | + | 0.232245i | ||||
\(389\) | 399.684 | + | 107.095i | 1.02747 | + | 0.275309i | 0.732910 | − | 0.680326i | \(-0.238162\pi\) |
0.294556 | + | 0.955634i | \(0.404828\pi\) | |||||||
\(390\) | 250.962 | + | 115.384i | 0.643493 | + | 0.295855i | ||||
\(391\) | −97.5720 | − | 56.3332i | −0.249545 | − | 0.144075i | ||||
\(392\) | 22.1664 | − | 159.460i | 0.0565469 | − | 0.406787i | ||||
\(393\) | −113.205 | − | 121.624i | −0.288054 | − | 0.309477i | ||||
\(394\) | 273.918 | − | 355.203i | 0.695223 | − | 0.901529i | ||||
\(395\) | −254.306 | + | 254.306i | −0.643812 | + | 0.643812i | ||||
\(396\) | −262.947 | + | 384.274i | −0.664007 | + | 0.970388i | ||||
\(397\) | −396.576 | + | 396.576i | −0.998931 | + | 0.998931i | −0.999999 | − | 0.00106822i | \(-0.999660\pi\) |
0.00106822 | + | 0.999999i | \(0.499660\pi\) | |||||||
\(398\) | −22.6882 | − | 175.600i | −0.0570054 | − | 0.441206i | ||||
\(399\) | −447.457 | + | 102.865i | −1.12145 | + | 0.257807i | ||||
\(400\) | 81.2858 | − | 137.711i | 0.203214 | − | 0.344277i | ||||
\(401\) | 75.9357 | + | 43.8415i | 0.189366 | + | 0.109330i | 0.591686 | − | 0.806169i | \(-0.298463\pi\) |
−0.402320 | + | 0.915499i | \(0.631796\pi\) | |||||||
\(402\) | −357.720 | + | 431.008i | −0.889850 | + | 1.07216i | ||||
\(403\) | 444.508 | + | 119.106i | 1.10300 | + | 0.295547i | ||||
\(404\) | −497.203 | − | 2.39453i | −1.23070 | − | 0.00592704i | ||||
\(405\) | 251.289 | − | 187.897i | 0.620467 | − | 0.463942i | ||||
\(406\) | 85.2141 | + | 207.134i | 0.209887 | + | 0.510183i | ||||
\(407\) | 88.2992 | + | 152.939i | 0.216951 | + | 0.375771i | ||||
\(408\) | 183.217 | − | 218.603i | 0.449061 | − | 0.535792i | ||||
\(409\) | 54.0849 | + | 31.2259i | 0.132237 | + | 0.0763470i | 0.564659 | − | 0.825324i | \(-0.309008\pi\) |
−0.432422 | + | 0.901671i | \(0.642341\pi\) | |||||||
\(410\) | 180.325 | + | 24.1822i | 0.439818 | + | 0.0589809i | ||||
\(411\) | −167.431 | + | 267.392i | −0.407375 | + | 0.650588i | ||||
\(412\) | −727.626 | − | 198.728i | −1.76608 | − | 0.482349i | ||||
\(413\) | −88.4417 | − | 88.4417i | −0.214145 | − | 0.214145i | ||||
\(414\) | −93.5747 | − | 142.696i | −0.226026 | − | 0.344677i | ||||
\(415\) | 302.960 | 0.730025 | ||||||||
\(416\) | 298.900 | + | 235.125i | 0.718510 | + | 0.565205i | ||||
\(417\) | 207.195 | + | 222.605i | 0.496870 | + | 0.533824i | ||||
\(418\) | −585.569 | + | 447.087i | −1.40088 | + | 1.06959i | ||||
\(419\) | −267.062 | + | 71.5590i | −0.637379 | + | 0.170785i | −0.563016 | − | 0.826446i | \(-0.690359\pi\) |
−0.0743629 | + | 0.997231i | \(0.523692\pi\) | |||||||
\(420\) | 10.1521 | − | 249.583i | 0.0241716 | − | 0.594245i | ||||
\(421\) | 158.502 | − | 591.536i | 0.376488 | − | 1.40507i | −0.474670 | − | 0.880164i | \(-0.657433\pi\) |
0.851158 | − | 0.524909i | \(-0.175901\pi\) | |||||||
\(422\) | 222.412 | + | 540.628i | 0.527042 | + | 1.28111i | ||||
\(423\) | 13.7357 | − | 191.308i | 0.0324720 | − | 0.452266i | ||||
\(424\) | 94.3737 | − | 223.263i | 0.222580 | − | 0.526563i | ||||
\(425\) | −59.3898 | − | 102.866i | −0.139741 | − | 0.242038i | ||||
\(426\) | 431.838 | + | 609.711i | 1.01370 | + | 1.43125i | ||||
\(427\) | 316.664 | − | 84.8498i | 0.741601 | − | 0.198711i | ||||
\(428\) | 274.918 | − | 470.920i | 0.642333 | − | 1.10028i | ||||
\(429\) | −407.359 | + | 216.110i | −0.949554 | + | 0.503753i | ||||
\(430\) | −579.762 | + | 74.9074i | −1.34828 | + | 0.174203i | ||||
\(431\) | − | 512.341i | − | 1.18873i | −0.804196 | − | 0.594364i | \(-0.797404\pi\) | ||
0.804196 | − | 0.594364i | \(-0.202596\pi\) | |||||||
\(432\) | 396.804 | − | 170.793i | 0.918529 | − | 0.395354i | ||||
\(433\) | 92.4308 | 0.213466 | 0.106733 | − | 0.994288i | \(-0.465961\pi\) | ||||
0.106733 | + | 0.994288i | \(0.465961\pi\) | |||||||
\(434\) | −53.3261 | − | 412.730i | −0.122871 | − | 0.950990i | ||||
\(435\) | −113.502 | − | 213.947i | −0.260924 | − | 0.491831i | ||||
\(436\) | −317.331 | + | 543.571i | −0.727823 | + | 1.24672i | ||||
\(437\) | −69.8802 | − | 260.796i | −0.159909 | − | 0.596788i | ||||
\(438\) | −423.147 | + | 299.701i | −0.966088 | + | 0.684249i | ||||
\(439\) | 162.735 | − | 93.9551i | 0.370695 | − | 0.214021i | −0.303067 | − | 0.952969i | \(-0.598011\pi\) |
0.673762 | + | 0.738949i | \(0.264677\pi\) | |||||||
\(440\) | −150.708 | − | 371.409i | −0.342519 | − | 0.844110i | ||||
\(441\) | −79.0936 | − | 162.935i | −0.179350 | − | 0.369468i | ||||
\(442\) | 261.235 | − | 107.471i | 0.591030 | − | 0.243147i | ||||
\(443\) | −617.132 | − | 165.360i | −1.39307 | − | 0.373273i | −0.517222 | − | 0.855852i | \(-0.673034\pi\) |
−0.875853 | + | 0.482578i | \(0.839700\pi\) | |||||||
\(444\) | 6.65909 | − | 163.710i | 0.0149979 | − | 0.368716i | ||||
\(445\) | −164.640 | − | 614.444i | −0.369977 | − | 1.38077i | ||||
\(446\) | 95.8822 | + | 125.581i | 0.214982 | + | 0.281572i | ||||
\(447\) | 462.228 | − | 430.230i | 1.03407 | − | 0.962484i | ||||
\(448\) | 93.8009 | − | 330.872i | 0.209377 | − | 0.738555i | ||||
\(449\) | − | 182.865i | − | 0.407271i | −0.979047 | − | 0.203635i | \(-0.934724\pi\) | ||
0.979047 | − | 0.203635i | \(-0.0652757\pi\) | |||||||
\(450\) | −10.2157 | − | 179.610i | −0.0227016 | − | 0.399133i | ||||
\(451\) | −214.778 | + | 214.778i | −0.476227 | + | 0.476227i | ||||
\(452\) | −239.180 | − | 65.3244i | −0.529160 | − | 0.144523i | ||||
\(453\) | 371.314 | + | 232.504i | 0.819677 | + | 0.513253i | ||||
\(454\) | 40.8525 | − | 304.636i | 0.0899836 | − | 0.671003i | ||||
\(455\) | 123.690 | − | 214.237i | 0.271846 | − | 0.470851i | ||||
\(456\) | 680.895 | − | 59.9627i | 1.49319 | − | 0.131497i | ||||
\(457\) | −408.786 | + | 236.013i | −0.894500 | + | 0.516440i | −0.875412 | − | 0.483378i | \(-0.839410\pi\) |
−0.0190880 | + | 0.999818i | \(0.506076\pi\) | |||||||
\(458\) | −273.040 | + | 112.327i | −0.596157 | + | 0.245256i | ||||
\(459\) | 34.4328 | − | 319.030i | 0.0750170 | − | 0.695055i | ||||
\(460\) | 146.890 | + | 0.707421i | 0.319326 | + | 0.00153787i | ||||
\(461\) | 199.024 | − | 742.769i | 0.431723 | − | 1.61121i | −0.317066 | − | 0.948403i | \(-0.602698\pi\) |
0.748789 | − | 0.662808i | \(-0.230636\pi\) | |||||||
\(462\) | 320.892 | + | 266.328i | 0.694572 | + | 0.576467i | ||||
\(463\) | −64.8072 | + | 112.249i | −0.139972 | + | 0.242439i | −0.927486 | − | 0.373858i | \(-0.878035\pi\) |
0.787514 | + | 0.616297i | \(0.211368\pi\) | |||||||
\(464\) | −83.1965 | − | 322.902i | −0.179303 | − | 0.695910i | ||||
\(465\) | 100.819 | + | 438.559i | 0.216816 | + | 0.943138i | ||||
\(466\) | −461.994 | + | 59.6912i | −0.991403 | + | 0.128093i | ||||
\(467\) | −64.6941 | − | 64.6941i | −0.138531 | − | 0.138531i | 0.634440 | − | 0.772972i | \(-0.281231\pi\) |
−0.772972 | + | 0.634440i | \(0.781231\pi\) | |||||||
\(468\) | 426.582 | + | 32.6937i | 0.911500 | + | 0.0698583i | ||||
\(469\) | 354.715 | + | 354.715i | 0.756323 | + | 0.756323i | ||||
\(470\) | 130.745 | + | 100.826i | 0.278181 | + | 0.214522i | ||||
\(471\) | 229.208 | − | 213.342i | 0.486642 | − | 0.452954i | ||||
\(472\) | 112.285 | + | 148.543i | 0.237893 | + | 0.314709i | ||||
\(473\) | 487.970 | − | 845.189i | 1.03165 | − | 1.78687i | ||||
\(474\) | −232.697 | + | 506.122i | −0.490923 | + | 1.06777i | ||||
\(475\) | 73.6719 | − | 274.947i | 0.155099 | − | 0.578836i | ||||
\(476\) | −179.760 | − | 181.500i | −0.377647 | − | 0.381302i | ||||
\(477\) | −51.5327 | − | 267.775i | −0.108035 | − | 0.561372i | ||||
\(478\) | 152.164 | + | 63.4581i | 0.318335 | + | 0.132757i | ||||
\(479\) | 355.298 | − | 205.131i | 0.741750 | − | 0.428249i | −0.0809554 | − | 0.996718i | \(-0.525797\pi\) |
0.822705 | + | 0.568468i | \(0.192464\pi\) | |||||||
\(480\) | −66.1293 | + | 365.948i | −0.137769 | + | 0.762392i | ||||
\(481\) | 81.1324 | − | 140.525i | 0.168674 | − | 0.292153i | ||||
\(482\) | −430.762 | − | 564.188i | −0.893698 | − | 1.17051i | ||||
\(483\) | −135.005 | + | 71.6221i | −0.279513 | + | 0.148286i | ||||
\(484\) | 178.616 | + | 48.7832i | 0.369041 | + | 0.100792i | ||||
\(485\) | −86.8484 | + | 86.8484i | −0.179069 | + | 0.179069i | ||||
\(486\) | 264.017 | − | 408.033i | 0.543244 | − | 0.839575i | ||||
\(487\) | 869.101i | 1.78460i | 0.451442 | + | 0.892301i | \(0.350910\pi\) | ||||
−0.451442 | + | 0.892301i | \(0.649090\pi\) | |||||||
\(488\) | −484.337 | + | 60.2080i | −0.992494 | + | 0.123377i | ||||
\(489\) | −135.504 | − | 41.5658i | −0.277105 | − | 0.0850017i | ||||
\(490\) | 154.527 | + | 20.7225i | 0.315361 | + | 0.0422909i | ||||
\(491\) | 104.814 | + | 391.173i | 0.213471 | + | 0.796686i | 0.986699 | + | 0.162558i | \(0.0519744\pi\) |
−0.773228 | + | 0.634129i | \(0.781359\pi\) | |||||||
\(492\) | 274.945 | − | 61.8138i | 0.558831 | − | 0.125638i | ||||
\(493\) | −239.241 | − | 64.1044i | −0.485275 | − | 0.130029i | ||||
\(494\) | 624.783 | + | 260.558i | 1.26474 | + | 0.527445i | ||||
\(495\) | −373.362 | − | 252.849i | −0.754267 | − | 0.510806i | ||||
\(496\) | −5.96746 | + | 619.532i | −0.0120312 | + | 1.24906i | ||||
\(497\) | 579.500 | − | 334.574i | 1.16600 | − | 0.673188i | ||||
\(498\) | 440.087 | − | 162.869i | 0.883708 | − | 0.327046i | ||||
\(499\) | 59.9492 | + | 223.734i | 0.120139 | + | 0.448364i | 0.999620 | − | 0.0275699i | \(-0.00877689\pi\) |
−0.879481 | + | 0.475934i | \(0.842110\pi\) | |||||||
\(500\) | 468.276 | + | 273.374i | 0.936551 | + | 0.546749i | ||||
\(501\) | 499.773 | + | 17.9184i | 0.997551 | + | 0.0357653i | ||||
\(502\) | 152.556 | − | 197.826i | 0.303895 | − | 0.394076i | ||||
\(503\) | −543.851 | −1.08121 | −0.540607 | − | 0.841275i | \(-0.681805\pi\) | ||||
−0.540607 | + | 0.841275i | \(0.681805\pi\) | |||||||
\(504\) | −119.426 | − | 368.007i | −0.236957 | − | 0.730173i | ||||
\(505\) | − | 481.509i | − | 0.953484i | ||||||
\(506\) | −149.755 | + | 194.195i | −0.295959 | + | 0.383784i | ||||
\(507\) | −70.5959 | − | 44.2047i | −0.139242 | − | 0.0871887i | ||||
\(508\) | −219.639 | + | 57.7199i | −0.432361 | + | 0.113622i | ||||
\(509\) | 665.031 | − | 178.195i | 1.30655 | − | 0.350088i | 0.462624 | − | 0.886555i | \(-0.346908\pi\) |
0.843921 | + | 0.536467i | \(0.180241\pi\) | |||||||
\(510\) | 212.553 | + | 176.410i | 0.416770 | + | 0.345903i | ||||
\(511\) | 232.199 | + | 402.180i | 0.454401 | + | 0.787045i | ||||
\(512\) | −206.138 | + | 468.669i | −0.402614 | + | 0.915370i | ||||
\(513\) | 598.953 | − | 482.258i | 1.16755 | − | 0.940074i | ||||
\(514\) | 477.480 | + | 199.127i | 0.928949 | + | 0.387407i | ||||
\(515\) | 189.057 | − | 705.570i | 0.367101 | − | 1.37004i | ||||
\(516\) | −801.906 | + | 420.487i | −1.55408 | + | 0.814897i | ||||
\(517\) | −266.248 | + | 71.3409i | −0.514986 | + | 0.137990i | ||||
\(518\) | −145.438 | − | 19.5037i | −0.280769 | − | 0.0376520i | ||||
\(519\) | 207.215 | − | 47.6361i | 0.399257 | − | 0.0917843i | ||||
\(520\) | −226.304 | + | 290.555i | −0.435201 | + | 0.558760i | ||||
\(521\) | −51.1580 | −0.0981920 | −0.0490960 | − | 0.998794i | \(-0.515634\pi\) | ||||
−0.0490960 | + | 0.998794i | \(0.515634\pi\) | |||||||
\(522\) | −279.891 | − | 249.766i | −0.536190 | − | 0.478478i | ||||
\(523\) | 628.440 | + | 628.440i | 1.20161 | + | 1.20161i | 0.973678 | + | 0.227929i | \(0.0731955\pi\) |
0.227929 | + | 0.973678i | \(0.426804\pi\) | |||||||
\(524\) | 192.392 | − | 109.846i | 0.367160 | − | 0.209629i | ||||
\(525\) | −161.016 | − | 5.77292i | −0.306697 | − | 0.0109960i | ||||
\(526\) | −527.534 | − | 690.934i | −1.00292 | − | 1.31356i | ||||
\(527\) | 398.545 | + | 230.100i | 0.756253 | + | 0.436623i | ||||
\(528\) | −418.588 | − | 458.496i | −0.792781 | − | 0.868364i | ||||
\(529\) | 219.564 | + | 380.296i | 0.415055 | + | 0.718897i | ||||
\(530\) | 216.651 | + | 90.3515i | 0.408775 | + | 0.170475i | ||||
\(531\) | 197.942 | + | 68.5696i | 0.372773 | + | 0.129133i | ||||
\(532\) | 2.94818 | − | 612.165i | 0.00554170 | − | 1.15069i | ||||
\(533\) | 269.580 | + | 72.2336i | 0.505778 | + | 0.135523i | ||||
\(534\) | −569.479 | − | 804.046i | −1.06644 | − | 1.50570i | ||||
\(535\) | 457.328 | + | 264.038i | 0.854819 | + | 0.493530i | ||||
\(536\) | −450.345 | − | 595.764i | −0.840197 | − | 1.11150i | ||||
\(537\) | −180.685 | + | 589.030i | −0.336470 | + | 1.09689i | ||||
\(538\) | −14.4837 | − | 11.1693i | −0.0269214 | − | 0.0207607i | ||||
\(539\) | −184.051 | + | 184.051i | −0.341468 | + | 0.341468i | ||||
\(540\) | 167.249 | + | 383.474i | 0.309720 | + | 0.710137i | ||||
\(541\) | 138.038 | − | 138.038i | 0.255154 | − | 0.255154i | −0.567926 | − | 0.823080i | \(-0.692254\pi\) |
0.823080 | + | 0.567926i | \(0.192254\pi\) | |||||||
\(542\) | 321.371 | − | 41.5222i | 0.592935 | − | 0.0766093i | ||||
\(543\) | 105.257 | − | 343.138i | 0.193844 | − | 0.631931i | ||||
\(544\) | 227.866 | + | 304.482i | 0.418872 | + | 0.559710i | ||||
\(545\) | −527.881 | − | 304.772i | −0.968590 | − | 0.559215i | ||||
\(546\) | 64.5026 | − | 377.700i | 0.118137 | − | 0.691759i | ||||
\(547\) | −655.476 | − | 175.634i | −1.19831 | − | 0.321086i | −0.396145 | − | 0.918188i | \(-0.629652\pi\) |
−0.802165 | + | 0.597102i | \(0.796319\pi\) | |||||||
\(548\) | −296.007 | − | 298.872i | −0.540159 | − | 0.545387i | ||||
\(549\) | −415.061 | + | 359.452i | −0.756030 | + | 0.654739i | ||||
\(550\) | −239.095 | + | 98.3625i | −0.434718 | + | 0.178841i | ||||
\(551\) | −296.773 | − | 514.026i | −0.538608 | − | 0.932897i | ||||
\(552\) | 213.756 | − | 77.9391i | 0.387239 | − | 0.141194i | ||||
\(553\) | 432.059 | + | 249.449i | 0.781300 | + | 0.451084i | ||||
\(554\) | −69.7033 | + | 519.774i | −0.125818 | + | 0.938220i | ||||
\(555\) | 158.570 | + | 5.68523i | 0.285712 | + | 0.0102437i | ||||
\(556\) | −352.128 | + | 201.046i | −0.633323 | + | 0.361594i | ||||
\(557\) | 523.493 | + | 523.493i | 0.939844 | + | 0.939844i | 0.998291 | − | 0.0584463i | \(-0.0186146\pi\) |
−0.0584463 | + | 0.998291i | \(0.518615\pi\) | |||||||
\(558\) | 382.218 | + | 582.861i | 0.684978 | + | 1.04455i | ||||
\(559\) | −896.728 | −1.60417 | ||||||||
\(560\) | 320.859 | + | 89.2949i | 0.572962 | + | 0.159455i | ||||
\(561\) | −449.424 | + | 103.317i | −0.801111 | + | 0.184166i | ||||
\(562\) | −313.129 | − | 410.118i | −0.557168 | − | 0.729748i | ||||
\(563\) | 535.008 | − | 143.355i | 0.950281 | − | 0.254627i | 0.249800 | − | 0.968298i | \(-0.419635\pi\) |
0.700482 | + | 0.713670i | \(0.252969\pi\) | |||||||
\(564\) | 244.126 | + | 76.1738i | 0.432848 | + | 0.135060i | ||||
\(565\) | 62.1455 | − | 231.930i | 0.109992 | − | 0.410496i | ||||
\(566\) | 124.817 | − | 51.3491i | 0.220525 | − | 0.0907228i | ||||
\(567\) | −341.992 | − | 269.250i | −0.603160 | − | 0.474869i | ||||
\(568\) | −923.097 | + | 374.570i | −1.62517 | + | 0.659454i | ||||
\(569\) | 281.315 | + | 487.252i | 0.494402 | + | 0.856330i | 0.999979 | − | 0.00645162i | \(-0.00205363\pi\) |
−0.505577 | + | 0.862782i | \(0.668720\pi\) | |||||||
\(570\) | 61.2443 | + | 659.108i | 0.107446 | + | 1.15633i | ||||
\(571\) | 93.7407 | − | 25.1177i | 0.164169 | − | 0.0439890i | −0.175798 | − | 0.984426i | \(-0.556251\pi\) |
0.339967 | + | 0.940437i | \(0.389584\pi\) | |||||||
\(572\) | −156.272 | − | 594.655i | −0.273202 | − | 1.03961i | ||||
\(573\) | 26.4886 | + | 16.5862i | 0.0462279 | + | 0.0289463i | ||||
\(574\) | −32.3406 | − | 250.307i | −0.0563425 | − | 0.436075i | ||||
\(575\) | − | 94.7480i | − | 0.164779i | ||||||
\(576\) | 100.670 | + | 567.135i | 0.174774 | + | 0.984609i | ||||
\(577\) | −606.259 | −1.05071 | −0.525354 | − | 0.850884i | \(-0.676067\pi\) | ||||
−0.525354 | + | 0.850884i | \(0.676067\pi\) | |||||||
\(578\) | −293.078 | + | 37.8668i | −0.507056 | + | 0.0655134i | ||||
\(579\) | −486.790 | − | 17.4530i | −0.840743 | − | 0.0301433i | ||||
\(580\) | 312.315 | − | 82.0746i | 0.538474 | − | 0.141508i | ||||
\(581\) | −108.773 | − | 405.948i | −0.187218 | − | 0.698706i | ||||
\(582\) | −79.4689 | + | 172.847i | −0.136545 | + | 0.296988i | ||||
\(583\) | −339.382 | + | 195.942i | −0.582130 | + | 0.336093i | ||||
\(584\) | −259.956 | − | 640.641i | −0.445130 | − | 1.09699i | ||||
\(585\) | −29.6715 | + | 413.260i | −0.0507205 | + | 0.706428i | ||||
\(586\) | 332.479 | + | 808.175i | 0.567371 | + | 1.37914i | ||||
\(587\) | 237.410 | + | 63.6138i | 0.404446 | + | 0.108371i | 0.455307 | − | 0.890335i | \(-0.349530\pi\) |
−0.0508604 | + | 0.998706i | \(0.516196\pi\) | |||||||
\(588\) | 235.610 | − | 52.9704i | 0.400696 | − | 0.0900856i | ||||
\(589\) | 285.435 | + | 1065.26i | 0.484609 | + | 1.80858i | ||||
\(590\) | −143.327 | + | 109.431i | −0.242927 | + | 0.185477i | ||||
\(591\) | 643.247 | + | 197.315i | 1.08840 | + | 0.333867i | ||||
\(592\) | 210.462 | + | 58.5715i | 0.355510 | + | 0.0989384i | ||||
\(593\) | − | 849.686i | − | 1.43286i | −0.697659 | − | 0.716430i | \(-0.745775\pi\) | ||
0.697659 | − | 0.716430i | \(-0.254225\pi\) | |||||||
\(594\) | −678.283 | − | 166.578i | −1.14189 | − | 0.280434i | ||||
\(595\) | 174.929 | − | 174.929i | 0.293998 | − | 0.293998i | ||||
\(596\) | 417.462 | + | 731.176i | 0.700440 | + | 1.22681i | ||||
\(597\) | 234.618 | − | 124.468i | 0.392994 | − | 0.208490i | ||||
\(598\) | 223.328 | + | 29.9489i | 0.373458 | + | 0.0500818i | ||||
\(599\) | −172.533 | + | 298.836i | −0.288035 | + | 0.498891i | −0.973341 | − | 0.229364i | \(-0.926335\pi\) |
0.685306 | + | 0.728256i | \(0.259669\pi\) | |||||||
\(600\) | 236.246 | + | 41.5174i | 0.393744 | + | 0.0691957i | ||||
\(601\) | −114.395 | + | 66.0458i | −0.190341 | + | 0.109893i | −0.592142 | − | 0.805834i | \(-0.701718\pi\) |
0.401801 | + | 0.915727i | \(0.368384\pi\) | |||||||
\(602\) | 308.526 | + | 749.951i | 0.512502 | + | 1.24577i | ||||
\(603\) | −793.892 | − | 275.014i | −1.31657 | − | 0.456076i | ||||
\(604\) | −415.029 | + | 411.051i | −0.687135 | + | 0.680548i | ||||
\(605\) | −46.4092 | + | 173.202i | −0.0767095 | + | 0.286284i | ||||
\(606\) | −258.855 | − | 699.450i | −0.427154 | − | 1.15421i | ||||
\(607\) | 399.074 | − | 691.216i | 0.657453 | − | 1.13874i | −0.323820 | − | 0.946119i | \(-0.604967\pi\) |
0.981273 | − | 0.192623i | \(-0.0616993\pi\) | |||||||
\(608\) | −129.828 | + | 902.079i | −0.213533 | + | 1.48368i | ||||
\(609\) | −245.924 | + | 228.900i | −0.403816 | + | 0.375862i | ||||
\(610\) | −60.5652 | − | 468.758i | −0.0992871 | − | 0.768455i | ||||
\(611\) | 179.087 | + | 179.087i | 0.293105 | + | 0.293105i | ||||
\(612\) | 403.595 | + | 141.991i | 0.659470 | + | 0.232011i | ||||
\(613\) | −92.1791 | − | 92.1791i | −0.150374 | − | 0.150374i | 0.627911 | − | 0.778285i | \(-0.283910\pi\) |
−0.778285 | + | 0.627911i | \(0.783910\pi\) | |||||||
\(614\) | −485.361 | + | 629.391i | −0.790490 | + | 1.02507i | ||||
\(615\) | 61.1436 | + | 265.972i | 0.0994205 | + | 0.432475i | ||||
\(616\) | −443.555 | + | 335.289i | −0.720056 | + | 0.544300i | ||||
\(617\) | 39.3936 | − | 68.2317i | 0.0638470 | − | 0.110586i | −0.832335 | − | 0.554273i | \(-0.812996\pi\) |
0.896182 | + | 0.443687i | \(0.146330\pi\) | |||||||
\(618\) | −104.680 | − | 1126.56i | −0.169385 | − | 1.82292i | ||||
\(619\) | 128.392 | − | 479.166i | 0.207418 | − | 0.774096i | −0.781280 | − | 0.624180i | \(-0.785433\pi\) |
0.988699 | − | 0.149916i | \(-0.0479003\pi\) | |||||||
\(620\) | −599.991 | − | 2.88955i | −0.967727 | − | 0.00466057i | ||||
\(621\) | 151.028 | − | 206.656i | 0.243202 | − | 0.332780i | ||||
\(622\) | −144.219 | + | 345.819i | −0.231864 | + | 0.555979i | ||||
\(623\) | −764.206 | + | 441.214i | −1.22665 | + | 0.708209i | ||||
\(624\) | −172.535 | + | 543.726i | −0.276498 | + | 0.871356i | ||||
\(625\) | −137.625 | + | 238.373i | −0.220200 | + | 0.381397i | ||||
\(626\) | −271.588 | + | 207.360i | −0.433847 | + | 0.331246i | ||||
\(627\) | −936.633 | − | 586.487i | −1.49383 | − | 0.935386i | ||||
\(628\) | 207.010 | + | 362.574i | 0.329634 | + | 0.577347i | ||||
\(629\) | 114.742 | − | 114.742i | 0.182419 | − | 0.182419i | ||||
\(630\) | 355.826 | − | 117.371i | 0.564804 | − | 0.186303i | ||||
\(631\) | − | 806.396i | − | 1.27797i | −0.769221 | − | 0.638983i | \(-0.779355\pi\) | ||
0.769221 | − | 0.638983i | \(-0.220645\pi\) | |||||||
\(632\) | −585.972 | − | 456.395i | −0.927170 | − | 0.722144i | ||||
\(633\) | −641.870 | + | 597.437i | −1.01401 | + | 0.943818i | ||||
\(634\) | 152.270 | − | 1135.47i | 0.240174 | − | 1.79097i | ||||
\(635\) | −56.9212 | − | 212.433i | −0.0896396 | − | 0.334540i | ||||
\(636\) | 363.284 | + | 14.7770i | 0.571201 | + | 0.0232343i | ||||
\(637\) | 231.012 | + | 61.8995i | 0.362656 | + | 0.0971734i | ||||
\(638\) | −207.505 | + | 497.569i | −0.325243 | + | 0.779889i | ||||
\(639\) | −628.430 | + | 927.953i | −0.983458 | + | 1.45220i | ||||
\(640\) | −454.827 | − | 197.441i | −0.710667 | − | 0.308502i | ||||
\(641\) | −103.969 | + | 60.0266i | −0.162198 | + | 0.0936453i | −0.578902 | − | 0.815397i | \(-0.696519\pi\) |
0.416704 | + | 0.909042i | \(0.363185\pi\) | |||||||
\(642\) | 806.269 | + | 137.692i | 1.25587 | + | 0.214474i | ||||
\(643\) | 210.532 | + | 785.714i | 0.327421 | + | 1.22195i | 0.911856 | + | 0.410511i | \(0.134649\pi\) |
−0.584435 | + | 0.811440i | \(0.698684\pi\) | |||||||
\(644\) | −51.7908 | − | 197.077i | −0.0804205 | − | 0.306021i | ||||
\(645\) | −410.945 | − | 774.615i | −0.637125 | − | 1.20095i | ||||
\(646\) | 536.070 | + | 413.396i | 0.829830 | + | 0.639932i | ||||
\(647\) | −825.493 | −1.27588 | −0.637939 | − | 0.770087i | \(-0.720213\pi\) | ||||
−0.637939 | + | 0.770087i | \(0.720213\pi\) | |||||||
\(648\) | 449.102 | + | 467.131i | 0.693058 | + | 0.720882i | ||||
\(649\) | − | 301.051i | − | 0.463869i | ||||||
\(650\) | 188.115 | + | 145.067i | 0.289407 | + | 0.223179i | ||||
\(651\) | 551.444 | − | 292.550i | 0.847073 | − | 0.449385i | ||||
\(652\) | 95.2778 | − | 163.206i | 0.146132 | − | 0.250316i | ||||
\(653\) | −45.5134 | + | 12.1953i | −0.0696989 | + | 0.0186758i | −0.293500 | − | 0.955959i | \(-0.594820\pi\) |
0.223801 | + | 0.974635i | \(0.428153\pi\) | |||||||
\(654\) | −930.655 | − | 158.935i | −1.42302 | − | 0.243019i | ||||
\(655\) | 107.273 | + | 185.803i | 0.163776 | + | 0.283668i | ||||
\(656\) | −3.61907 | + | 375.726i | −0.00551688 | + | 0.572753i | ||||
\(657\) | −644.011 | − | 436.138i | −0.980229 | − | 0.663832i | ||||
\(658\) | 88.1578 | − | 211.391i | 0.133978 | − | 0.321262i | ||||
\(659\) | 144.063 | − | 537.650i | 0.218608 | − | 0.815857i | −0.766257 | − | 0.642534i | \(-0.777883\pi\) |
0.984865 | − | 0.173323i | \(-0.0554503\pi\) | |||||||
\(660\) | 442.062 | − | 407.505i | 0.669791 | − | 0.617432i | ||||
\(661\) | −908.098 | + | 243.324i | −1.37382 | + | 0.368115i | −0.868874 | − | 0.495033i | \(-0.835156\pi\) |
−0.504950 | + | 0.863148i | \(0.668489\pi\) | |||||||
\(662\) | 18.0040 | − | 134.255i | 0.0271964 | − | 0.202802i | ||||
\(663\) | 288.686 | + | 310.156i | 0.435424 | + | 0.467807i | ||||
\(664\) | 77.1839 | + | 620.897i | 0.116241 | + | 0.935086i | ||||
\(665\) | 592.842 | 0.891492 | ||||||||
\(666\) | 233.398 | − | 76.9873i | 0.350448 | − | 0.115597i | ||||
\(667\) | −139.703 | − | 139.703i | −0.209449 | − | 0.209449i | ||||
\(668\) | −175.678 | + | 643.233i | −0.262991 | + | 0.962924i | ||||
\(669\) | −125.778 | + | 200.870i | −0.188009 | + | 0.300255i | ||||
\(670\) | 574.845 | − | 438.899i | 0.857978 | − | 0.655073i | ||||
\(671\) | 683.365 | + | 394.541i | 1.01843 | + | 0.587989i | ||||
\(672\) | 514.091 | − | 42.7792i | 0.765016 | − | 0.0636595i | ||||
\(673\) | 642.305 | + | 1112.50i | 0.954390 | + | 1.65305i | 0.735757 | + | 0.677246i | \(0.236827\pi\) |
0.218633 | + | 0.975807i | \(0.429840\pi\) | |||||||
\(674\) | 254.451 | − | 610.139i | 0.377524 | − | 0.905251i | ||||
\(675\) | 246.826 | − | 109.069i | 0.365668 | − | 0.161583i | ||||
\(676\) | 78.9073 | − | 78.1509i | 0.116727 | − | 0.115608i | ||||
\(677\) | 81.0177 | + | 21.7086i | 0.119672 | + | 0.0320659i | 0.318158 | − | 0.948038i | \(-0.396936\pi\) |
−0.198486 | + | 0.980104i | \(0.563602\pi\) | |||||||
\(678\) | −34.4097 | − | 370.316i | −0.0507518 | − | 0.546188i | ||||
\(679\) | 147.553 | + | 85.1898i | 0.217309 | + | 0.125464i | ||||
\(680\) | −293.802 | + | 222.089i | −0.432062 | + | 0.326601i | ||||
\(681\) | 449.324 | − | 103.294i | 0.659800 | − | 0.151680i | ||||
\(682\) | 611.695 | − | 793.214i | 0.896913 | − | 1.16307i | ||||
\(683\) | 422.773 | − | 422.773i | 0.618994 | − | 0.618994i | −0.326280 | − | 0.945273i | \(-0.605795\pi\) |
0.945273 | + | 0.326280i | \(0.105795\pi\) | |||||||
\(684\) | 443.296 | + | 924.510i | 0.648093 | + | 1.35162i | ||||
\(685\) | 288.051 | − | 288.051i | 0.420513 | − | 0.420513i | ||||
\(686\) | −95.1933 | − | 736.770i | −0.138766 | − | 1.07401i | ||||
\(687\) | −301.731 | − | 324.171i | −0.439200 | − | 0.471865i | ||||
\(688\) | −301.221 | − | 1169.10i | −0.437822 | − | 1.69928i | ||||
\(689\) | 311.836 | + | 180.039i | 0.452592 | + | 0.261304i | ||||
\(690\) | 76.4742 | + | 206.641i | 0.110832 | + | 0.299479i | ||||
\(691\) | −504.924 | − | 135.294i | −0.730715 | − | 0.195795i | −0.125768 | − | 0.992060i | \(-0.540139\pi\) |
−0.604948 | + | 0.796265i | \(0.706806\pi\) | |||||||
\(692\) | −1.36528 | + | 283.489i | −0.00197295 | + | 0.409667i | ||||
\(693\) | −204.752 | + | 591.064i | −0.295457 | + | 0.852906i | ||||
\(694\) | −449.633 | − | 1092.95i | −0.647887 | − | 1.57485i | ||||
\(695\) | −196.338 | − | 340.067i | −0.282501 | − | 0.489306i | ||||
\(696\) | 409.553 | − | 287.121i | 0.588438 | − | 0.412530i | ||||
\(697\) | 241.705 | + | 139.548i | 0.346779 | + | 0.200213i | ||||
\(698\) | 988.954 | + | 132.622i | 1.41684 | + | 0.190002i | ||||
\(699\) | −327.469 | − | 617.266i | −0.468482 | − | 0.883070i | ||||
\(700\) | 56.5996 | − | 207.235i | 0.0808566 | − | 0.296050i | ||||
\(701\) | 387.399 | + | 387.399i | 0.552638 | + | 0.552638i | 0.927201 | − | 0.374563i | \(-0.122207\pi\) |
−0.374563 | + | 0.927201i | \(0.622207\pi\) | |||||||
\(702\) | 179.064 | + | 616.262i | 0.255076 | + | 0.877866i | ||||
\(703\) | 388.865 | 0.553151 | ||||||||
\(704\) | 722.782 | − | 403.489i | 1.02668 | − | 0.573138i | ||||
\(705\) | −72.6292 | + | 236.770i | −0.103020 | + | 0.335845i | ||||
\(706\) | −184.286 | + | 140.704i | −0.261028 | + | 0.199297i | ||||
\(707\) | −645.192 | + | 172.879i | −0.912578 | + | 0.244524i | ||||
\(708\) | −149.371 | + | 236.014i | −0.210976 | + | 0.333353i | ||||
\(709\) | 42.2947 | − | 157.846i | 0.0596540 | − | 0.222632i | −0.929663 | − | 0.368410i | \(-0.879902\pi\) |
0.989317 | + | 0.145779i | \(0.0465688\pi\) | |||||||
\(710\) | −367.044 | − | 892.193i | −0.516963 | − | 1.25661i | ||||
\(711\) | −833.434 | − | 59.8394i | −1.17220 | − | 0.0841623i | ||||
\(712\) | 1217.32 | − | 493.958i | 1.70972 | − | 0.693761i | ||||
\(713\) | 183.546 | + | 317.911i | 0.257428 | + | 0.445878i | ||||
\(714\) | 160.065 | − | 348.145i | 0.224181 | − | 0.487598i | ||||
\(715\) | 575.143 | − | 154.109i | 0.804396 | − | 0.215537i | ||||
\(716\) | −709.448 | − | 414.168i | −0.990849 | − | 0.578447i | ||||
\(717\) | −8.86075 | + | 247.140i | −0.0123581 | + | 0.344686i | ||||
\(718\) | −1187.61 | + | 153.443i | −1.65405 | + | 0.213709i | ||||
\(719\) | 480.946i | 0.668909i | 0.942412 | + | 0.334455i | \(0.108552\pi\) | ||||
−0.942412 | + | 0.334455i | \(0.891448\pi\) | |||||||
\(720\) | −548.751 | + | 100.135i | −0.762155 | + | 0.139076i | ||||
\(721\) | −1013.30 | −1.40541 | ||||||||
\(722\) | 115.359 | + | 892.848i | 0.159777 | + | 1.23663i | ||||
\(723\) | 565.073 | − | 902.434i | 0.781567 | − | 1.24818i | ||||
\(724\) | 413.287 | + | 241.273i | 0.570838 | + | 0.333249i | ||||
\(725\) | −53.9093 | − | 201.192i | −0.0743576 | − | 0.277506i | ||||
\(726\) | 25.6966 | + | 276.546i | 0.0353948 | + | 0.380917i | ||||
\(727\) | −45.9366 | + | 26.5215i | −0.0631865 | + | 0.0364807i | −0.531260 | − | 0.847209i | \(-0.678281\pi\) |
0.468074 | + | 0.883689i | \(0.344948\pi\) | |||||||
\(728\) | 470.578 | + | 198.914i | 0.646398 | + | 0.273234i | ||||
\(729\) | 712.212 | + | 155.549i | 0.976971 | + | 0.213374i | ||||
\(730\) | 619.193 | − | 254.733i | 0.848209 | − | 0.348949i | ||||
\(731\) | −866.196 | − | 232.096i | −1.18495 | − | 0.317505i | ||||
\(732\) | −339.978 | − | 648.368i | −0.464451 | − | 0.885749i | ||||
\(733\) | 165.745 | + | 618.567i | 0.226118 | + | 0.843884i | 0.981953 | + | 0.189123i | \(0.0605644\pi\) |
−0.755835 | + | 0.654762i | \(0.772769\pi\) | |||||||
\(734\) | 72.8822 | + | 95.4570i | 0.0992945 | + | 0.130050i | ||||
\(735\) | 52.3961 | + | 227.920i | 0.0712872 | + | 0.310096i | ||||
\(736\) | 35.9727 | + | 301.222i | 0.0488760 | + | 0.409269i | ||||
\(737\) | 1207.43i | 1.63831i | ||||||||
\(738\) | 231.803 | + | 353.486i | 0.314096 | + | 0.478978i | ||||
\(739\) | 726.916 | − | 726.916i | 0.983648 | − | 0.983648i | −0.0162206 | − | 0.999868i | \(-0.505163\pi\) |
0.999868 | + | 0.0162206i | \(0.00516340\pi\) | |||||||
\(740\) | −55.7399 | + | 204.087i | −0.0753242 | + | 0.275794i | ||||
\(741\) | −36.3821 | + | 1014.75i | −0.0490986 | + | 1.36944i | ||||
\(742\) | 43.2801 | − | 322.738i | 0.0583290 | − | 0.434957i | ||||
\(743\) | −440.165 | + | 762.388i | −0.592415 | + | 1.02609i | 0.401491 | + | 0.915863i | \(0.368492\pi\) |
−0.993906 | + | 0.110230i | \(0.964841\pi\) | |||||||
\(744\) | −873.113 | + | 318.352i | −1.17354 | + | 0.427893i | ||||
\(745\) | −706.134 | + | 407.686i | −0.947830 | + | 0.547230i | ||||
\(746\) | 1147.53 | − | 472.087i | 1.53824 | − | 0.632825i | ||||
\(747\) | 460.801 | + | 532.089i | 0.616868 | + | 0.712301i | ||||
\(748\) | 2.96114 | − | 614.855i | 0.00395874 | − | 0.821998i | ||||
\(749\) | 189.598 | − | 707.590i | 0.253135 | − | 0.944713i | ||||
\(750\) | −136.919 | + | 801.741i | −0.182559 | + | 1.06899i | ||||
\(751\) | −428.427 | + | 742.057i | −0.570475 | + | 0.988092i | 0.426042 | + | 0.904703i | \(0.359908\pi\) |
−0.996517 | + | 0.0833883i | \(0.973426\pi\) | |||||||
\(752\) | −173.326 | + | 293.641i | −0.230487 | + | 0.390480i | ||||
\(753\) | 358.249 | + | 109.893i | 0.475762 | + | 0.145940i | ||||
\(754\) | 491.264 | − | 63.4731i | 0.651544 | − | 0.0841818i | ||||
\(755\) | −400.003 | − | 400.003i | −0.529805 | − | 0.529805i | ||||
\(756\) | 453.783 | − | 361.784i | 0.600243 | − | 0.478550i | ||||
\(757\) | −119.448 | − | 119.448i | −0.157791 | − | 0.157791i | 0.623796 | − | 0.781587i | \(-0.285590\pi\) |
−0.781587 | + | 0.623796i | \(0.785590\pi\) | |||||||
\(758\) | 287.448 | + | 221.668i | 0.379219 | + | 0.292439i | ||||
\(759\) | −351.673 | − | 107.875i | −0.463338 | − | 0.142128i | ||||
\(760\) | −874.191 | − | 121.520i | −1.15025 | − | 0.159895i | ||||
\(761\) | −132.802 | + | 230.020i | −0.174510 | + | 0.302260i | −0.939992 | − | 0.341198i | \(-0.889167\pi\) |
0.765482 | + | 0.643458i | \(0.222501\pi\) | |||||||
\(762\) | −196.887 | − | 277.984i | −0.258382 | − | 0.364808i | ||||
\(763\) | −218.848 | + | 816.752i | −0.286826 | + | 1.07045i | ||||
\(764\) | −29.6072 | + | 29.3233i | −0.0387528 | + | 0.0383813i | ||||
\(765\) | −135.624 | + | 391.510i | −0.177286 | + | 0.511777i | ||||
\(766\) | 119.788 | + | 49.9561i | 0.156381 | + | 0.0652168i | ||||
\(767\) | −239.556 | + | 138.308i | −0.312329 | + | 0.180323i | ||||
\(768\) | −766.834 | − | 42.2966i | −0.998482 | − | 0.0550737i | ||||
\(769\) | 750.091 | − | 1299.20i | 0.975411 | − | 1.68946i | 0.296838 | − | 0.954928i | \(-0.404068\pi\) |
0.678573 | − | 0.734533i | \(-0.262599\pi\) | |||||||
\(770\) | −326.767 | − | 427.981i | −0.424373 | − | 0.555819i | ||||
\(771\) | −27.8044 | + | 775.508i | −0.0360628 | + | 1.00585i | ||||
\(772\) | 171.115 | − | 626.524i | 0.221651 | − | 0.811559i | ||||
\(773\) | 572.185 | − | 572.185i | 0.740213 | − | 0.740213i | −0.232406 | − | 0.972619i | \(-0.574660\pi\) |
0.972619 | + | 0.232406i | \(0.0746597\pi\) | |||||||
\(774\) | −1013.37 | − | 904.302i | −1.30927 | − | 1.16835i | ||||
\(775\) | 387.010i | 0.499368i | ||||||||
\(776\) | −200.116 | − | 155.864i | −0.257882 | − | 0.200856i | ||||
\(777\) | −49.3143 | − | 214.515i | −0.0634676 | − | 0.276081i | ||||
\(778\) | −820.225 | − | 109.995i | −1.05427 | − | 0.141381i | ||||
\(779\) | 173.107 | + | 646.043i | 0.222217 | + | 0.829324i | ||||
\(780\) | −527.357 | − | 164.549i | −0.676098 | − | 0.210960i | ||||
\(781\) | 1555.73 | + | 416.856i | 1.99197 | + | 0.533747i | ||||
\(782\) | 207.972 | + | 86.7322i | 0.265949 | + | 0.110911i | ||||
\(783\) | 203.118 | − | 524.754i | 0.259410 | − | 0.670184i | ||||
\(784\) | −3.10131 | + | 321.973i | −0.00395575 | + | 0.410679i | ||||
\(785\) | −350.156 | + | 202.163i | −0.446058 | + | 0.257532i | ||||
\(786\) | 255.713 | + | 212.232i | 0.325335 | + | 0.270015i | ||||
\(787\) | 98.7267 | + | 368.453i | 0.125447 | + | 0.468174i | 0.999855 | − | 0.0170167i | \(-0.00541686\pi\) |
−0.874408 | + | 0.485191i | \(0.838750\pi\) | |||||||
\(788\) | −452.290 | + | 774.748i | −0.573971 | + | 0.983182i | ||||
\(789\) | 692.018 | − | 1105.17i | 0.877082 | − | 1.40072i | ||||
\(790\) | 439.246 | − | 569.591i | 0.556008 | − | 0.721002i | ||||
\(791\) | −333.085 | −0.421093 | ||||||||
\(792\) | 423.078 | − | 829.599i | 0.534189 | − | 1.04747i | ||||
\(793\) | − | 725.036i | − | 0.914295i | ||||||
\(794\) | 684.980 | − | 888.246i | 0.862695 | − | 1.11870i | ||||
\(795\) | −12.6159 | + | 351.878i | −0.0158691 | + | 0.442614i | ||||
\(796\) | 90.0045 | + | 342.490i | 0.113071 | + | 0.430264i | ||||
\(797\) | −796.594 | + | 213.447i | −0.999491 | + | 0.267813i | −0.721232 | − | 0.692693i | \(-0.756424\pi\) |
−0.278259 | + | 0.960506i | \(0.589757\pi\) | |||||||
\(798\) | 861.176 | − | 318.707i | 1.07917 | − | 0.399382i | ||||
\(799\) | 126.637 | + | 219.342i | 0.158495 | + | 0.274521i | ||||
\(800\) | −125.939 | + | 293.982i | −0.157424 | + | 0.367478i | ||||
\(801\) | 828.731 | − | 1223.72i | 1.03462 | − | 1.52774i | ||||
\(802\) | −161.855 | − | 67.4996i | −0.201814 | − | 0.0841641i | ||||
\(803\) | −289.303 | + | 1079.69i | −0.360278 | + | 1.34458i | ||||
\(804\) | 599.084 | − | 946.586i | 0.745130 | − | 1.17735i | ||||
\(805\) | 190.611 | − | 51.0741i | 0.236784 | − | 0.0634460i | ||||
\(806\) | −912.211 | − | 122.330i | −1.13178 | − | 0.151774i | ||||
\(807\) | 8.04573 | − | 26.2290i | 0.00996992 | − | 0.0325019i | ||||
\(808\) | 986.822 | − | 122.672i | 1.22131 | − | 0.151822i | ||||
\(809\) | −371.253 | −0.458904 | −0.229452 | − | 0.973320i | \(-0.573693\pi\) | ||||
−0.229452 | + | 0.973320i | \(0.573693\pi\) | |||||||
\(810\) | −450.282 | + | 437.095i | −0.555903 | + | 0.539623i | ||||
\(811\) | −682.431 | − | 682.431i | −0.841468 | − | 0.841468i | 0.147582 | − | 0.989050i | \(-0.452851\pi\) |
−0.989050 | + | 0.147582i | \(0.952851\pi\) | |||||||
\(812\) | −222.107 | − | 389.015i | −0.273531 | − | 0.479083i | ||||
\(813\) | 227.793 | + | 429.380i | 0.280188 | + | 0.528143i | ||||
\(814\) | −214.337 | − | 280.727i | −0.263314 | − | 0.344873i | ||||
\(815\) | 158.495 | + | 91.5072i | 0.194473 | + | 0.112279i | ||||
\(816\) | −307.390 | + | 480.556i | −0.376704 | + | 0.588917i | ||||
\(817\) | −1074.50 | − | 1861.09i | −1.31518 | − | 2.27795i | ||||
\(818\) | −115.281 | − | 48.0763i | −0.140930 | − | 0.0587730i | ||||
\(819\) | 564.396 | − | 108.617i | 0.689129 | − | 0.132622i | ||||
\(820\) | −363.875 | − | 1.75242i | −0.443750 | − | 0.00213710i | ||||
\(821\) | −124.780 | − | 33.4347i | −0.151986 | − | 0.0407244i | 0.182024 | − | 0.983294i | \(-0.441735\pi\) |
−0.334010 | + | 0.942570i | \(0.608402\pi\) | |||||||
\(822\) | 263.576 | − | 573.283i | 0.320652 | − | 0.697425i | ||||
\(823\) | −364.270 | − | 210.311i | −0.442613 | − | 0.255543i | 0.262093 | − | 0.965043i | \(-0.415587\pi\) |
−0.704705 | + | 0.709500i | \(0.748921\pi\) | |||||||
\(824\) | 1494.19 | + | 207.705i | 1.81333 | + | 0.252069i | ||||
\(825\) | −264.219 | − | 283.870i | −0.320265 | − | 0.344084i | ||||
\(826\) | 198.091 | + | 152.760i | 0.239819 | + | 0.184939i | ||||
\(827\) | 646.935 | − | 646.935i | 0.782268 | − | 0.782268i | −0.197945 | − | 0.980213i | \(-0.563427\pi\) |
0.980213 | + | 0.197945i | \(0.0634269\pi\) | |||||||
\(828\) | 222.176 | + | 259.059i | 0.268329 | + | 0.312873i | ||||
\(829\) | 626.764 | − | 626.764i | 0.756048 | − | 0.756048i | −0.219553 | − | 0.975601i | \(-0.570460\pi\) |
0.975601 | + | 0.219553i | \(0.0704598\pi\) | |||||||
\(830\) | −600.926 | + | 77.6417i | −0.724007 | + | 0.0935442i | ||||
\(831\) | −766.643 | + | 176.242i | −0.922555 | + | 0.212084i | ||||
\(832\) | −653.129 | − | 389.773i | −0.785011 | − | 0.468477i | ||||
\(833\) | 207.125 | + | 119.584i | 0.248650 | + | 0.143558i | ||||
\(834\) | −468.022 | − | 388.440i | −0.561177 | − | 0.465755i | ||||
\(835\) | −623.735 | − | 167.129i | −0.746988 | − | 0.200155i | ||||
\(836\) | 1046.91 | − | 1036.87i | 1.25228 | − | 1.24027i | ||||
\(837\) | −616.895 | + | 844.114i | −0.737031 | + | 1.00850i | ||||
\(838\) | 511.381 | − | 210.380i | 0.610240 | − | 0.251050i | ||||
\(839\) | 441.149 | + | 764.093i | 0.525804 | + | 0.910719i | 0.999548 | + | 0.0300564i | \(0.00956870\pi\) |
−0.473744 | + | 0.880662i | \(0.657098\pi\) | |||||||
\(840\) | 43.8256 | + | 497.653i | 0.0521733 | + | 0.592444i | ||||
\(841\) | 352.189 | + | 203.337i | 0.418775 | + | 0.241780i | ||||
\(842\) | −162.793 | + | 1213.94i | −0.193341 | + | 1.44173i | ||||
\(843\) | 410.761 | − | 655.995i | 0.487261 | − | 0.778168i | ||||
\(844\) | −579.707 | − | 1015.34i | −0.686857 | − | 1.20301i | ||||
\(845\) | 76.0504 | + | 76.0504i | 0.0900005 | + | 0.0900005i | ||||
\(846\) | 21.7830 | + | 382.983i | 0.0257483 | + | 0.452698i | ||||
\(847\) | 248.742 | 0.293674 | ||||||||
\(848\) | −129.974 | + | 467.030i | −0.153272 | + | 0.550743i | ||||
\(849\) | 137.933 | + | 148.191i | 0.162465 | + | 0.174548i | ||||
\(850\) | 144.163 | + | 188.816i | 0.169603 | + | 0.222137i | ||||
\(851\) | 125.028 | − | 33.5012i | 0.146919 | − | 0.0393668i | ||||
\(852\) | −1012.81 | − | 1098.70i | −1.18875 | − | 1.28955i | ||||
\(853\) | −191.702 | + | 715.440i | −0.224738 | + | 0.838734i | 0.757771 | + | 0.652520i | \(0.226288\pi\) |
−0.982509 | + | 0.186214i | \(0.940378\pi\) | |||||||
\(854\) | −606.361 | + | 249.454i | −0.710025 | + | 0.292101i | ||||
\(855\) | −893.241 | + | 433.605i | −1.04473 | + | 0.507141i | ||||
\(856\) | −424.618 | + | 1004.53i | −0.496049 | + | 1.17352i | ||||
\(857\) | −454.964 | − | 788.022i | −0.530880 | − | 0.919512i | −0.999351 | − | 0.0360325i | \(-0.988528\pi\) |
0.468470 | − | 0.883479i | \(-0.344805\pi\) | |||||||
\(858\) | 752.617 | − | 533.054i | 0.877176 | − | 0.621275i | ||||
\(859\) | −133.228 | + | 35.6983i | −0.155097 | + | 0.0415580i | −0.335532 | − | 0.942029i | \(-0.608916\pi\) |
0.180435 | + | 0.983587i | \(0.442249\pi\) | |||||||
\(860\) | 1130.77 | − | 297.159i | 1.31485 | − | 0.345534i | ||||
\(861\) | 334.433 | − | 177.422i | 0.388424 | − | 0.206065i | ||||
\(862\) | 131.301 | + | 1016.24i | 0.152322 | + | 1.17893i | ||||
\(863\) | − | 512.214i | − | 0.593527i | −0.954951 | − | 0.296764i | \(-0.904093\pi\) | ||
0.954951 | − | 0.296764i | \(-0.0959073\pi\) | |||||||
\(864\) | −743.296 | + | 440.462i | −0.860297 | + | 0.509794i | ||||
\(865\) | −274.541 | −0.317389 | ||||||||
\(866\) | −183.338 | + | 23.6879i | −0.211706 | + | 0.0273532i | ||||
\(867\) | −207.739 | − | 391.579i | −0.239607 | − | 0.451648i | ||||
\(868\) | 211.546 | + | 804.988i | 0.243717 | + | 0.927406i | ||||
\(869\) | 310.796 | + | 1159.91i | 0.357648 | + | 1.33476i | ||||
\(870\) | 279.962 | + | 395.278i | 0.321796 | + | 0.454342i | ||||
\(871\) | 960.794 | − | 554.715i | 1.10309 | − | 0.636871i | ||||
\(872\) | 490.125 | − | 1159.50i | 0.562070 | − | 1.32971i | ||||
\(873\) | −284.628 | − | 20.4358i | −0.326034 | − | 0.0234088i | ||||
\(874\) | 205.444 | + | 499.384i | 0.235062 | + | 0.571378i | ||||
\(875\) | 703.616 | + | 188.533i | 0.804133 | + | 0.215467i | ||||
\(876\) | 762.511 | − | 702.903i | 0.870446 | − | 0.802401i | ||||
\(877\) | −259.253 | − | 967.546i | −0.295614 | − | 1.10325i | −0.940729 | − | 0.339160i | \(-0.889857\pi\) |
0.645115 | − | 0.764085i | \(-0.276809\pi\) | |||||||
\(878\) | −298.708 | + | 228.066i | −0.340215 | + | 0.259757i | ||||
\(879\) | −959.519 | + | 893.097i | −1.09160 | + | 1.01604i | ||||
\(880\) | 394.115 | + | 698.070i | 0.447858 | + | 0.793262i | ||||
\(881\) | − | 18.4946i | − | 0.0209928i | −0.999945 | − | 0.0104964i | \(-0.996659\pi\) | ||
0.999945 | − | 0.0104964i | \(-0.00334117\pi\) | |||||||
\(882\) | 198.640 | + | 302.914i | 0.225215 | + | 0.343440i | ||||
\(883\) | 162.276 | − | 162.276i | 0.183778 | − | 0.183778i | −0.609222 | − | 0.793000i | \(-0.708518\pi\) |
0.793000 | + | 0.609222i | \(0.208518\pi\) | |||||||
\(884\) | −490.621 | + | 280.119i | −0.555002 | + | 0.316876i | ||||
\(885\) | −229.256 | − | 143.552i | −0.259046 | − | 0.162205i | ||||
\(886\) | 1266.47 | + | 169.837i | 1.42942 | + | 0.191690i | ||||
\(887\) | 252.776 | − | 437.820i | 0.284978 | − | 0.493596i | −0.687626 | − | 0.726065i | \(-0.741347\pi\) |
0.972604 | + | 0.232469i | \(0.0746804\pi\) | |||||||
\(888\) | 28.7467 | + | 326.427i | 0.0323724 | + | 0.367598i | ||||
\(889\) | −264.210 | + | 152.542i | −0.297199 | + | 0.171588i | ||||
\(890\) | 484.033 | + | 1176.56i | 0.543857 | + | 1.32198i | ||||
\(891\) | −123.803 | − | 1040.32i | −0.138949 | − | 1.16758i | ||||
\(892\) | −222.367 | − | 224.519i | −0.249290 | − | 0.251703i | ||||
\(893\) | −157.091 | + | 586.271i | −0.175913 | + | 0.656518i | ||||
\(894\) | −806.576 | + | 971.825i | −0.902210 | + | 1.08705i | ||||
\(895\) | 397.777 | − | 688.970i | 0.444444 | − | 0.769799i | ||||
\(896\) | −101.260 | + | 680.329i | −0.113014 | + | 0.759295i | ||||
\(897\) | 75.7246 | + | 329.398i | 0.0844198 | + | 0.367222i | ||||
\(898\) | 46.8640 | + | 362.714i | 0.0521871 | + | 0.403913i | ||||
\(899\) | 570.633 | + | 570.633i | 0.634742 | + | 0.634742i | ||||
\(900\) | 66.2929 | + | 353.640i | 0.0736588 | + | 0.392934i | ||||
\(901\) | 254.620 | + | 254.620i | 0.282597 | + | 0.282597i | ||||
\(902\) | 370.973 | − | 481.059i | 0.411278 | − | 0.533324i | ||||
\(903\) | −890.393 | + | 828.756i | −0.986038 | + | 0.917780i | ||||
\(904\) | 491.159 | + | 68.2753i | 0.543317 | + | 0.0755258i | ||||
\(905\) | −231.724 | + | 401.358i | −0.256049 | + | 0.443490i | ||||
\(906\) | −796.091 | − | 366.015i | −0.878688 | − | 0.403990i | ||||
\(907\) | −258.798 | + | 965.847i | −0.285334 | + | 1.06488i | 0.663261 | + | 0.748388i | \(0.269172\pi\) |
−0.948595 | + | 0.316493i | \(0.897495\pi\) | |||||||
\(908\) | −2.96048 | + | 614.718i | −0.00326044 | + | 0.677002i | ||||
\(909\) | 845.674 | − | 732.372i | 0.930334 | − | 0.805690i | ||||
\(910\) | −190.437 | + | 456.641i | −0.209271 | + | 0.501804i | ||||
\(911\) | 452.086 | − | 261.012i | 0.496252 | − | 0.286512i | −0.230912 | − | 0.972975i | \(-0.574171\pi\) |
0.727165 | + | 0.686463i | \(0.240838\pi\) | |||||||
\(912\) | −1335.20 | + | 293.434i | −1.46403 | + | 0.321748i | ||||
\(913\) | 505.783 | − | 876.042i | 0.553979 | − | 0.959520i | ||||
\(914\) | 750.348 | − | 572.897i | 0.820950 | − | 0.626802i | ||||
\(915\) | 626.303 | − | 332.263i | 0.684484 | − | 0.363129i | ||||
\(916\) | 512.791 | − | 292.776i | 0.559815 | − | 0.319625i | ||||
\(917\) | 210.449 | − | 210.449i | 0.229497 | − | 0.229497i | ||||
\(918\) | 13.4622 | + | 641.625i | 0.0146647 | + | 0.698938i | ||||
\(919\) | − | 495.997i | − | 0.539713i | −0.962901 | − | 0.269857i | \(-0.913024\pi\) | ||
0.962901 | − | 0.269857i | \(-0.0869763\pi\) | |||||||
\(920\) | −291.539 | + | 36.2413i | −0.316891 | + | 0.0393927i | ||||
\(921\) | −1139.78 | − | 349.627i | −1.23755 | − | 0.379617i | ||||
\(922\) | −204.413 | + | 1524.30i | −0.221706 | + | 1.65325i | ||||
\(923\) | −383.022 | − | 1429.46i | −0.414975 | − | 1.54871i | ||||
\(924\) | −704.747 | − | 446.027i | −0.762713 | − | 0.482713i | ||||
\(925\) | 131.812 | + | 35.3189i | 0.142500 | + | 0.0381826i | ||||
\(926\) | 99.7789 | − | 239.257i | 0.107753 | − | 0.258376i | ||||
\(927\) | 1526.75 | − | 741.127i | 1.64698 | − | 0.799490i | ||||
\(928\) | 247.774 | + | 619.160i | 0.266997 | + | 0.667198i | ||||
\(929\) | −1037.03 | + | 598.731i | −1.11629 | + | 0.644490i | −0.940451 | − | 0.339929i | \(-0.889597\pi\) |
−0.175838 | + | 0.984419i | \(0.556264\pi\) | |||||||
\(930\) | −312.369 | − | 844.050i | −0.335880 | − | 0.907580i | ||||
\(931\) | 148.341 | + | 553.617i | 0.159335 | + | 0.594647i | ||||
\(932\) | 901.073 | − | 236.797i | 0.966816 | − | 0.254074i | ||||
\(933\) | −561.669 | − | 20.1376i | −0.602003 | − | 0.0215837i | ||||
\(934\) | 144.901 | + | 111.742i | 0.155140 | + | 0.119638i | ||||
\(935\) | 595.447 | 0.636842 | ||||||||
\(936\) | −854.510 | + | 44.4748i | −0.912938 | + | 0.0475158i | ||||
\(937\) | 219.908i | 0.234694i | 0.993091 | + | 0.117347i | \(0.0374390\pi\) | ||||
−0.993091 | + | 0.117347i | \(0.962561\pi\) | |||||||
\(938\) | −794.488 | − | 612.677i | −0.847002 | − | 0.653174i | ||||
\(939\) | −434.413 | − | 272.014i | −0.462634 | − | 0.289685i | ||||
\(940\) | −285.174 | − | 166.482i | −0.303377 | − | 0.177108i | ||||
\(941\) | 7.40638 | − | 1.98453i | 0.00787075 | − | 0.00210896i | −0.254882 | − | 0.966972i | \(-0.582036\pi\) |
0.262752 | + | 0.964863i | \(0.415370\pi\) | |||||||
\(942\) | −399.963 | + | 481.906i | −0.424589 | + | 0.511578i | ||||
\(943\) | 111.315 | + | 192.803i | 0.118043 | + | 0.204457i | ||||
\(944\) | −260.787 | − | 265.860i | −0.276258 | − | 0.281632i | ||||
\(945\) | 352.473 | + | 437.763i | 0.372987 | + | 0.463241i | ||||
\(946\) | −751.293 | + | 1801.50i | −0.794178 | + | 1.90433i | ||||
\(947\) | −206.974 | + | 772.438i | −0.218558 | + | 0.815668i | 0.766326 | + | 0.642452i | \(0.222083\pi\) |
−0.984884 | + | 0.173217i | \(0.944584\pi\) | |||||||
\(948\) | 331.851 | − | 1063.54i | 0.350054 | − | 1.12187i | ||||
\(949\) | 992.062 | − | 265.822i | 1.04538 | − | 0.280108i | ||||
\(950\) | −75.6665 | + | 564.242i | −0.0796489 | + | 0.593938i | ||||
\(951\) | 1674.77 | − | 385.009i | 1.76106 | − | 0.404846i | ||||
\(952\) | 403.071 | + | 313.939i | 0.423394 | + | 0.329768i | ||||
\(953\) | 11.2506 | 0.0118054 | 0.00590272 | − | 0.999983i | \(-0.498121\pi\) | ||||
0.00590272 | + | 0.999983i | \(0.498121\pi\) | |||||||
\(954\) | 170.840 | + | 517.928i | 0.179078 | + | 0.542901i | ||||
\(955\) | −28.5352 | − | 28.5352i | −0.0298798 | − | 0.0298798i | ||||
\(956\) | −318.082 | − | 86.8738i | −0.332722 | − | 0.0908722i | ||||
\(957\) | −808.137 | − | 28.9742i | −0.844448 | − | 0.0302761i | ||||
\(958\) | −652.168 | + | 497.936i | −0.680760 | + | 0.519766i | ||||
\(959\) | −489.391 | − | 282.550i | −0.510314 | − | 0.294630i | ||||
\(960\) | 37.3842 | − | 742.810i | 0.0389419 | − | 0.773761i | ||||
\(961\) | −269.217 | − | 466.298i | −0.280143 | − | 0.485222i | ||||
\(962\) | −124.914 | + | 299.526i | −0.129848 | + | 0.311358i | ||||
\(963\) | 231.863 | + | 1204.80i | 0.240771 | + | 1.25110i | ||||
\(964\) | 999.011 | + | 1008.68i | 1.03632 | + | 1.04635i | ||||
\(965\) | 607.532 | + | 162.788i | 0.629567 | + | 0.168692i | ||||
\(966\) | 249.429 | − | 176.662i | 0.258208 | − | 0.182880i | ||||
\(967\) | 206.224 | + | 119.064i | 0.213262 | + | 0.123127i | 0.602826 | − | 0.797872i | \(-0.294041\pi\) |
−0.389564 | + | 0.920999i | \(0.627374\pi\) | |||||||
\(968\) | −366.789 | − | 50.9869i | −0.378914 | − | 0.0526724i | ||||
\(969\) | −297.788 | + | 970.786i | −0.307314 | + | 1.00184i | ||||
\(970\) | 150.008 | − | 194.522i | 0.154647 | − | 0.200538i | ||||
\(971\) | 956.820 | − | 956.820i | 0.985396 | − | 0.985396i | −0.0144987 | − | 0.999895i | \(-0.504615\pi\) |
0.999895 | + | 0.0144987i | \(0.00461525\pi\) | |||||||
\(972\) | −419.111 | + | 877.001i | −0.431184 | + | 0.902264i | ||||
\(973\) | −385.177 | + | 385.177i | −0.395865 | + | 0.395865i | ||||
\(974\) | −222.730 | − | 1723.87i | −0.228676 | − | 1.76989i | ||||
\(975\) | −104.498 | + | 340.663i | −0.107177 | + | 0.349398i | ||||
\(976\) | 945.258 | − | 243.548i | 0.968502 | − | 0.249537i | ||||
\(977\) | 25.8436 | + | 14.9208i | 0.0264520 | + | 0.0152720i | 0.513168 | − | 0.858288i | \(-0.328472\pi\) |
−0.486716 | + | 0.873560i | \(0.661805\pi\) | |||||||
\(978\) | 279.427 | + | 47.7197i | 0.285712 | + | 0.0487932i | ||||
\(979\) | −2051.59 | − | 549.722i | −2.09560 | − | 0.561514i | ||||
\(980\) | −311.817 | − | 1.50171i | −0.318181 | − | 0.00153236i | ||||
\(981\) | −267.633 | − | 1390.67i | −0.272816 | − | 1.41761i | ||||
\(982\) | −308.149 | − | 749.035i | −0.313798 | − | 0.762765i | ||||
\(983\) | −626.105 | − | 1084.45i | −0.636933 | − | 1.10320i | −0.986102 | − | 0.166141i | \(-0.946869\pi\) |
0.349169 | − | 0.937060i | \(-0.386464\pi\) | |||||||
\(984\) | −529.515 | + | 193.070i | −0.538125 | + | 0.196210i | ||||
\(985\) | −752.386 | − | 434.390i | −0.763843 | − | 0.441005i | ||||
\(986\) | 490.966 | + | 65.8400i | 0.497937 | + | 0.0667748i | ||||
\(987\) | 343.334 | + | 12.3096i | 0.347856 | + | 0.0124717i | ||||
\(988\) | −1306.04 | − | 356.702i | −1.32190 | − | 0.361035i | ||||
\(989\) | −505.808 | − | 505.808i | −0.511433 | − | 0.511433i | ||||
\(990\) | 805.368 | + | 405.845i | 0.813503 | + | 0.409944i | ||||
\(991\) | −702.277 | −0.708655 | −0.354328 | − | 0.935121i | \(-0.615290\pi\) | ||||
−0.354328 | + | 0.935121i | \(0.615290\pi\) | |||||||
\(992\) | −146.935 | − | 1230.38i | −0.148120 | − | 1.24030i | ||||
\(993\) | 198.020 | − | 45.5223i | 0.199416 | − | 0.0458432i | ||||
\(994\) | −1063.70 | + | 812.145i | −1.07012 | + | 0.817047i | ||||
\(995\) | −331.253 | + | 88.7589i | −0.332917 | + | 0.0892049i | ||||
\(996\) | −831.178 | + | 435.836i | −0.834516 | + | 0.437587i | ||||
\(997\) | −210.524 | + | 785.686i | −0.211157 | + | 0.788050i | 0.776327 | + | 0.630331i | \(0.217081\pi\) |
−0.987484 | + | 0.157719i | \(0.949586\pi\) | |||||||
\(998\) | −176.248 | − | 428.415i | −0.176601 | − | 0.429273i | ||||
\(999\) | 231.199 | + | 287.143i | 0.231430 | + | 0.287431i |
(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 | 144.3.w.a.5.3 | ✓ | 184 | |
3.2 | odd | 2 | 432.3.x.a.341.44 | 184 | |||
9.2 | odd | 6 | inner | 144.3.w.a.101.14 | yes | 184 | |
9.7 | even | 3 | 432.3.x.a.197.33 | 184 | |||
16.13 | even | 4 | inner | 144.3.w.a.77.14 | yes | 184 | |
48.29 | odd | 4 | 432.3.x.a.125.33 | 184 | |||
144.29 | odd | 12 | inner | 144.3.w.a.29.3 | yes | 184 | |
144.61 | even | 12 | 432.3.x.a.413.44 | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.3.w.a.5.3 | ✓ | 184 | 1.1 | even | 1 | trivial | |
144.3.w.a.29.3 | yes | 184 | 144.29 | odd | 12 | inner | |
144.3.w.a.77.14 | yes | 184 | 16.13 | even | 4 | inner | |
144.3.w.a.101.14 | yes | 184 | 9.2 | odd | 6 | inner | |
432.3.x.a.125.33 | 184 | 48.29 | odd | 4 | |||
432.3.x.a.197.33 | 184 | 9.7 | even | 3 | |||
432.3.x.a.341.44 | 184 | 3.2 | odd | 2 | |||
432.3.x.a.413.44 | 184 | 144.61 | even | 12 |