Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,2,Mod(53,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 2, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.w (of order \(4\), 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: | \(0.958204824255\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 77.15 | ||
Character | \(\chi\) | \(=\) | 120.77 |
Dual form | 120.2.w.c.53.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39193 | − | 0.250043i | 0.984246 | − | 0.176807i | ||||
\(3\) | 1.01856 | + | 1.40091i | 0.588064 | + | 0.808814i | ||||
\(4\) | 1.87496 | − | 0.696087i | 0.937478 | − | 0.348043i | ||||
\(5\) | −2.23305 | + | 0.116202i | −0.998649 | + | 0.0519669i | ||||
\(6\) | 1.76805 | + | 1.69529i | 0.721803 | + | 0.692098i | ||||
\(7\) | −2.29041 | − | 2.29041i | −0.865694 | − | 0.865694i | 0.126298 | − | 0.991992i | \(-0.459690\pi\) |
−0.991992 | + | 0.126298i | \(0.959690\pi\) | |||||||
\(8\) | 2.43576 | − | 1.43773i | 0.861172 | − | 0.508313i | ||||
\(9\) | −0.925085 | + | 2.85381i | −0.308362 | + | 0.951269i | ||||
\(10\) | −3.07920 | + | 0.720103i | −0.973727 | + | 0.227716i | ||||
\(11\) | −2.28378 | −0.688586 | −0.344293 | − | 0.938862i | \(-0.611881\pi\) | ||||
−0.344293 | + | 0.938862i | \(0.611881\pi\) | |||||||
\(12\) | 2.88490 | + | 1.91764i | 0.832800 | + | 0.553574i | ||||
\(13\) | 1.05635 | + | 1.05635i | 0.292977 | + | 0.292977i | 0.838255 | − | 0.545278i | \(-0.183576\pi\) |
−0.545278 | + | 0.838255i | \(0.683576\pi\) | |||||||
\(14\) | −3.76080 | − | 2.61540i | −1.00512 | − | 0.698994i | ||||
\(15\) | −2.43727 | − | 3.00993i | −0.629301 | − | 0.777162i | ||||
\(16\) | 3.03093 | − | 2.61026i | 0.757732 | − | 0.652566i | ||||
\(17\) | 3.04391 | − | 3.04391i | 0.738256 | − | 0.738256i | −0.233984 | − | 0.972240i | \(-0.575176\pi\) |
0.972240 | + | 0.233984i | \(0.0751764\pi\) | |||||||
\(18\) | −0.574081 | + | 4.20362i | −0.135312 | + | 0.990803i | ||||
\(19\) | −3.36831 | −0.772744 | −0.386372 | − | 0.922343i | \(-0.626272\pi\) | ||||
−0.386372 | + | 0.922343i | \(0.626272\pi\) | |||||||
\(20\) | −4.10598 | + | 1.77227i | −0.918125 | + | 0.396291i | ||||
\(21\) | 0.875741 | − | 5.54157i | 0.191102 | − | 1.20927i | ||||
\(22\) | −3.17887 | + | 0.571043i | −0.677737 | + | 0.121747i | ||||
\(23\) | 3.68785 | + | 3.68785i | 0.768969 | + | 0.768969i | 0.977925 | − | 0.208956i | \(-0.0670065\pi\) |
−0.208956 | + | 0.977925i | \(0.567006\pi\) | |||||||
\(24\) | 4.49508 | + | 1.94787i | 0.917555 | + | 0.397608i | ||||
\(25\) | 4.97299 | − | 0.518967i | 0.994599 | − | 0.103793i | ||||
\(26\) | 1.73449 | + | 1.20623i | 0.340162 | + | 0.236561i | ||||
\(27\) | −4.94017 | + | 1.61081i | −0.950737 | + | 0.310000i | ||||
\(28\) | −5.88875 | − | 2.70010i | −1.11287 | − | 0.510270i | ||||
\(29\) | 2.71461i | 0.504091i | 0.967715 | + | 0.252045i | \(0.0811032\pi\) | ||||
−0.967715 | + | 0.252045i | \(0.918897\pi\) | |||||||
\(30\) | −4.14513 | − | 3.58020i | −0.756794 | − | 0.653653i | ||||
\(31\) | −6.49196 | −1.16599 | −0.582995 | − | 0.812475i | \(-0.698119\pi\) | ||||
−0.582995 | + | 0.812475i | \(0.698119\pi\) | |||||||
\(32\) | 3.56617 | − | 4.39118i | 0.630416 | − | 0.776258i | ||||
\(33\) | −2.32616 | − | 3.19937i | −0.404932 | − | 0.556938i | ||||
\(34\) | 3.47581 | − | 4.99803i | 0.596096 | − | 0.857154i | ||||
\(35\) | 5.38074 | + | 4.84844i | 0.909512 | + | 0.819537i | ||||
\(36\) | 0.252003 | + | 5.99471i | 0.0420005 | + | 0.999118i | ||||
\(37\) | 2.31197 | − | 2.31197i | 0.380085 | − | 0.380085i | −0.491048 | − | 0.871133i | \(-0.663386\pi\) |
0.871133 | + | 0.491048i | \(0.163386\pi\) | |||||||
\(38\) | −4.68847 | + | 0.842223i | −0.760570 | + | 0.136627i | ||||
\(39\) | −0.403895 | + | 2.55579i | −0.0646749 | + | 0.409254i | ||||
\(40\) | −5.27211 | + | 3.49355i | −0.833593 | + | 0.552379i | ||||
\(41\) | 10.8056i | 1.68754i | 0.536702 | + | 0.843772i | \(0.319670\pi\) | ||||
−0.536702 | + | 0.843772i | \(0.680330\pi\) | |||||||
\(42\) | −0.166657 | − | 7.93246i | −0.0257158 | − | 1.22401i | ||||
\(43\) | −1.16384 | − | 1.16384i | −0.177484 | − | 0.177484i | 0.612774 | − | 0.790258i | \(-0.290054\pi\) |
−0.790258 | + | 0.612774i | \(0.790054\pi\) | |||||||
\(44\) | −4.28199 | + | 1.58971i | −0.645534 | + | 0.239658i | ||||
\(45\) | 1.73414 | − | 6.48018i | 0.258510 | − | 0.966008i | ||||
\(46\) | 6.05536 | + | 4.21112i | 0.892814 | + | 0.620895i | ||||
\(47\) | −1.83768 | + | 1.83768i | −0.268053 | + | 0.268053i | −0.828315 | − | 0.560262i | \(-0.810700\pi\) |
0.560262 | + | 0.828315i | \(0.310700\pi\) | |||||||
\(48\) | 6.74391 | + | 1.58735i | 0.973400 | + | 0.229114i | ||||
\(49\) | 3.49196i | 0.498852i | ||||||||
\(50\) | 6.79231 | − | 1.96583i | 0.960578 | − | 0.278010i | ||||
\(51\) | 7.36463 | + | 1.16384i | 1.03125 | + | 0.162970i | ||||
\(52\) | 2.71591 | + | 1.24529i | 0.376629 | + | 0.172691i | ||||
\(53\) | 5.82856 | − | 5.82856i | 0.800615 | − | 0.800615i | −0.182577 | − | 0.983192i | \(-0.558444\pi\) |
0.983192 | + | 0.182577i | \(0.0584439\pi\) | |||||||
\(54\) | −6.47362 | + | 3.47739i | −0.880948 | + | 0.473213i | ||||
\(55\) | 5.09979 | − | 0.265379i | 0.687655 | − | 0.0357837i | ||||
\(56\) | −8.87188 | − | 2.28592i | −1.18556 | − | 0.305468i | ||||
\(57\) | −3.43082 | − | 4.71870i | −0.454423 | − | 0.625007i | ||||
\(58\) | 0.678770 | + | 3.77856i | 0.0891268 | + | 0.496149i | ||||
\(59\) | − | 7.41311i | − | 0.965104i | −0.875867 | − | 0.482552i | \(-0.839710\pi\) | ||
0.875867 | − | 0.482552i | \(-0.160290\pi\) | |||||||
\(60\) | −6.66496 | − | 3.94694i | −0.860442 | − | 0.509548i | ||||
\(61\) | 8.97044i | 1.14855i | 0.818663 | + | 0.574274i | \(0.194716\pi\) | ||||
−0.818663 | + | 0.574274i | \(0.805284\pi\) | |||||||
\(62\) | −9.03638 | + | 1.62327i | −1.14762 | + | 0.206155i | ||||
\(63\) | 8.65522 | − | 4.41757i | 1.09045 | − | 0.556561i | ||||
\(64\) | 3.86589 | − | 7.00392i | 0.483236 | − | 0.875490i | ||||
\(65\) | −2.48162 | − | 2.23612i | −0.307807 | − | 0.277356i | ||||
\(66\) | −4.03784 | − | 3.87166i | −0.497024 | − | 0.476569i | ||||
\(67\) | 8.66367 | − | 8.66367i | 1.05844 | − | 1.05844i | 0.0602525 | − | 0.998183i | \(-0.480809\pi\) |
0.998183 | − | 0.0602525i | \(-0.0191906\pi\) | |||||||
\(68\) | 3.58837 | − | 7.82602i | 0.435154 | − | 0.949044i | ||||
\(69\) | −1.41005 | + | 8.92262i | −0.169750 | + | 1.07416i | ||||
\(70\) | 8.70196 | + | 5.40329i | 1.04008 | + | 0.645817i | ||||
\(71\) | − | 7.37570i | − | 0.875334i | −0.899137 | − | 0.437667i | \(-0.855805\pi\) | ||
0.899137 | − | 0.437667i | \(-0.144195\pi\) | |||||||
\(72\) | 1.84971 | + | 8.28122i | 0.217990 | + | 0.975951i | ||||
\(73\) | 1.83441 | − | 1.83441i | 0.214701 | − | 0.214701i | −0.591560 | − | 0.806261i | \(-0.701488\pi\) |
0.806261 | + | 0.591560i | \(0.201488\pi\) | |||||||
\(74\) | 2.64001 | − | 3.79620i | 0.306895 | − | 0.441299i | ||||
\(75\) | 5.79230 | + | 6.43811i | 0.668837 | + | 0.743409i | ||||
\(76\) | −6.31544 | + | 2.34464i | −0.724431 | + | 0.268948i | ||||
\(77\) | 5.23080 | + | 5.23080i | 0.596104 | + | 0.596104i | ||||
\(78\) | 0.0768630 | + | 3.65848i | 0.00870302 | + | 0.414241i | ||||
\(79\) | 8.28844i | 0.932522i | 0.884647 | + | 0.466261i | \(0.154399\pi\) | ||||
−0.884647 | + | 0.466261i | \(0.845601\pi\) | |||||||
\(80\) | −6.46488 | + | 6.18104i | −0.722796 | + | 0.691061i | ||||
\(81\) | −7.28844 | − | 5.28003i | −0.809826 | − | 0.586670i | ||||
\(82\) | 2.70185 | + | 15.0406i | 0.298370 | + | 1.66096i | ||||
\(83\) | −5.27928 | + | 5.27928i | −0.579476 | + | 0.579476i | −0.934759 | − | 0.355283i | \(-0.884384\pi\) |
0.355283 | + | 0.934759i | \(0.384384\pi\) | |||||||
\(84\) | −2.21543 | − | 10.9998i | −0.241724 | − | 1.20018i | ||||
\(85\) | −6.44348 | + | 7.15090i | −0.698894 | + | 0.775624i | ||||
\(86\) | −1.91100 | − | 1.32898i | −0.206068 | − | 0.143308i | ||||
\(87\) | −3.80292 | + | 2.76499i | −0.407716 | + | 0.296438i | ||||
\(88\) | −5.56275 | + | 3.28345i | −0.592991 | + | 0.350017i | ||||
\(89\) | 11.5311 | 1.22230 | 0.611149 | − | 0.791515i | \(-0.290708\pi\) | ||||
0.611149 | + | 0.791515i | \(0.290708\pi\) | |||||||
\(90\) | 0.793483 | − | 9.45359i | 0.0836405 | − | 0.996496i | ||||
\(91\) | − | 4.83893i | − | 0.507258i | ||||||
\(92\) | 9.48162 | + | 4.34749i | 0.988527 | + | 0.453258i | ||||
\(93\) | −6.61243 | − | 9.09464i | −0.685677 | − | 0.943070i | ||||
\(94\) | −2.09843 | + | 3.01742i | −0.216436 | + | 0.311224i | ||||
\(95\) | 7.52160 | − | 0.391403i | 0.771700 | − | 0.0401571i | ||||
\(96\) | 9.78398 | + | 0.523212i | 0.998573 | + | 0.0534001i | ||||
\(97\) | −2.79647 | − | 2.79647i | −0.283939 | − | 0.283939i | 0.550739 | − | 0.834678i | \(-0.314346\pi\) |
−0.834678 | + | 0.550739i | \(0.814346\pi\) | |||||||
\(98\) | 0.873141 | + | 4.86058i | 0.0882005 | + | 0.490993i | ||||
\(99\) | 2.11269 | − | 6.51747i | 0.212333 | − | 0.655030i | ||||
\(100\) | 8.96290 | − | 4.43468i | 0.896290 | − | 0.443468i | ||||
\(101\) | −8.94251 | −0.889813 | −0.444907 | − | 0.895577i | \(-0.646763\pi\) | ||||
−0.444907 | + | 0.895577i | \(0.646763\pi\) | |||||||
\(102\) | 10.5421 | − | 0.221484i | 1.04382 | − | 0.0219302i | ||||
\(103\) | −2.54400 | + | 2.54400i | −0.250668 | + | 0.250668i | −0.821244 | − | 0.570577i | \(-0.806720\pi\) |
0.570577 | + | 0.821244i | \(0.306720\pi\) | |||||||
\(104\) | 4.09174 | + | 1.05427i | 0.401228 | + | 0.103380i | ||||
\(105\) | −1.31163 | + | 12.4763i | −0.128002 | + | 1.21757i | ||||
\(106\) | 6.65558 | − | 9.57036i | 0.646447 | − | 0.929556i | ||||
\(107\) | −5.14834 | − | 5.14834i | −0.497709 | − | 0.497709i | 0.413015 | − | 0.910724i | \(-0.364476\pi\) |
−0.910724 | + | 0.413015i | \(0.864476\pi\) | |||||||
\(108\) | −8.14135 | + | 6.45898i | −0.783402 | + | 0.621516i | ||||
\(109\) | −1.40528 | −0.134601 | −0.0673005 | − | 0.997733i | \(-0.521439\pi\) | ||||
−0.0673005 | + | 0.997733i | \(0.521439\pi\) | |||||||
\(110\) | 7.03221 | − | 1.64456i | 0.670495 | − | 0.156802i | ||||
\(111\) | 5.59372 | + | 0.883983i | 0.530933 | + | 0.0839040i | ||||
\(112\) | −12.9206 | − | 0.963489i | −1.22089 | − | 0.0910412i | ||||
\(113\) | −13.2872 | − | 13.2872i | −1.24995 | − | 1.24995i | −0.955740 | − | 0.294212i | \(-0.904943\pi\) |
−0.294212 | − | 0.955740i | \(-0.595057\pi\) | |||||||
\(114\) | −5.95535 | − | 5.71026i | −0.557769 | − | 0.534815i | ||||
\(115\) | −8.66367 | − | 7.80660i | −0.807891 | − | 0.727969i | ||||
\(116\) | 1.88960 | + | 5.08978i | 0.175445 | + | 0.472574i | ||||
\(117\) | −3.99181 | + | 2.03740i | −0.369043 | + | 0.188357i | ||||
\(118\) | −1.85360 | − | 10.3186i | −0.170637 | − | 0.949900i | ||||
\(119\) | −13.9436 | −1.27821 | ||||||||
\(120\) | −10.2641 | − | 3.82736i | −0.936978 | − | 0.349388i | ||||
\(121\) | −5.78435 | −0.525850 | ||||||||
\(122\) | 2.24300 | + | 12.4863i | 0.203071 | + | 1.13045i | ||||
\(123\) | −15.1376 | + | 11.0061i | −1.36491 | + | 0.992384i | ||||
\(124\) | −12.1721 | + | 4.51897i | −1.09309 | + | 0.405815i | ||||
\(125\) | −11.0446 | + | 1.73675i | −0.987861 | + | 0.155339i | ||||
\(126\) | 10.9429 | − | 8.31314i | 0.974871 | − | 0.740593i | ||||
\(127\) | 7.16362 | + | 7.16362i | 0.635668 | + | 0.635668i | 0.949484 | − | 0.313816i | \(-0.101607\pi\) |
−0.313816 | + | 0.949484i | \(0.601607\pi\) | |||||||
\(128\) | 3.62978 | − | 10.7156i | 0.320830 | − | 0.947137i | ||||
\(129\) | 0.444996 | − | 2.81587i | 0.0391797 | − | 0.247924i | ||||
\(130\) | −4.01337 | − | 2.49202i | −0.351996 | − | 0.218564i | ||||
\(131\) | −2.74859 | −0.240145 | −0.120073 | − | 0.992765i | \(-0.538313\pi\) | ||||
−0.120073 | + | 0.992765i | \(0.538313\pi\) | |||||||
\(132\) | −6.58849 | − | 4.37946i | −0.573454 | − | 0.381183i | ||||
\(133\) | 7.71482 | + | 7.71482i | 0.668960 | + | 0.668960i | ||||
\(134\) | 9.89296 | − | 14.2255i | 0.854622 | − | 1.22890i | ||||
\(135\) | 10.8445 | − | 4.17106i | 0.933342 | − | 0.358988i | ||||
\(136\) | 3.03793 | − | 11.7905i | 0.260501 | − | 1.01103i | ||||
\(137\) | −10.1741 | + | 10.1741i | −0.869232 | + | 0.869232i | −0.992387 | − | 0.123155i | \(-0.960699\pi\) |
0.123155 | + | 0.992387i | \(0.460699\pi\) | |||||||
\(138\) | 0.268339 | + | 12.7723i | 0.0228426 | + | 1.08725i | ||||
\(139\) | 0.857068 | 0.0726955 | 0.0363478 | − | 0.999339i | \(-0.488428\pi\) | ||||
0.0363478 | + | 0.999339i | \(0.488428\pi\) | |||||||
\(140\) | 13.4636 | + | 5.34516i | 1.13788 | + | 0.451749i | ||||
\(141\) | −4.44620 | − | 0.702638i | −0.374437 | − | 0.0591728i | ||||
\(142\) | −1.84424 | − | 10.2665i | −0.154765 | − | 0.861544i | ||||
\(143\) | −2.41246 | − | 2.41246i | −0.201740 | − | 0.201740i | ||||
\(144\) | 4.64533 | + | 11.0644i | 0.387111 | + | 0.922033i | ||||
\(145\) | −0.315442 | − | 6.06185i | −0.0261961 | − | 0.503410i | ||||
\(146\) | 2.09469 | − | 3.01206i | 0.173358 | − | 0.249280i | ||||
\(147\) | −4.89192 | + | 3.55676i | −0.403478 | + | 0.293357i | ||||
\(148\) | 2.72551 | − | 5.94417i | 0.224036 | − | 0.488608i | ||||
\(149\) | − | 7.83812i | − | 0.642124i | −0.947058 | − | 0.321062i | \(-0.895960\pi\) | ||
0.947058 | − | 0.321062i | \(-0.104040\pi\) | |||||||
\(150\) | 9.67230 | + | 7.51309i | 0.789740 | + | 0.613441i | ||||
\(151\) | 5.96120 | 0.485116 | 0.242558 | − | 0.970137i | \(-0.422014\pi\) | ||||
0.242558 | + | 0.970137i | \(0.422014\pi\) | |||||||
\(152\) | −8.20441 | + | 4.84271i | −0.665466 | + | 0.392796i | ||||
\(153\) | 5.87086 | + | 11.5026i | 0.474631 | + | 0.929930i | ||||
\(154\) | 8.58884 | + | 5.97299i | 0.692109 | + | 0.481318i | ||||
\(155\) | 14.4969 | − | 0.754376i | 1.16442 | − | 0.0605930i | ||||
\(156\) | 1.02177 | + | 5.07314i | 0.0818067 | + | 0.406176i | ||||
\(157\) | 1.60455 | − | 1.60455i | 0.128057 | − | 0.128057i | −0.640173 | − | 0.768231i | \(-0.721137\pi\) |
0.768231 | + | 0.640173i | \(0.221137\pi\) | |||||||
\(158\) | 2.07247 | + | 11.5370i | 0.164877 | + | 0.917831i | ||||
\(159\) | 14.1020 | + | 2.22856i | 1.11836 | + | 0.176736i | ||||
\(160\) | −7.45316 | + | 10.2201i | −0.589224 | + | 0.807970i | ||||
\(161\) | − | 16.8934i | − | 1.33138i | ||||||
\(162\) | −11.4653 | − | 5.52702i | −0.900795 | − | 0.434244i | ||||
\(163\) | 9.91929 | + | 9.91929i | 0.776939 | + | 0.776939i | 0.979309 | − | 0.202370i | \(-0.0648644\pi\) |
−0.202370 | + | 0.979309i | \(0.564864\pi\) | |||||||
\(164\) | 7.52160 | + | 20.2599i | 0.587338 | + | 1.58204i | ||||
\(165\) | 5.56619 | + | 6.87403i | 0.433328 | + | 0.535142i | ||||
\(166\) | −6.02835 | + | 8.66845i | −0.467891 | + | 0.672802i | ||||
\(167\) | 1.02989 | − | 1.02989i | 0.0796952 | − | 0.0796952i | −0.666136 | − | 0.745831i | \(-0.732053\pi\) |
0.745831 | + | 0.666136i | \(0.232053\pi\) | |||||||
\(168\) | −5.83416 | − | 14.7570i | −0.450115 | − | 1.13853i | ||||
\(169\) | − | 10.7683i | − | 0.828328i | ||||||
\(170\) | −7.18087 | + | 11.5647i | −0.550747 | + | 0.886974i | ||||
\(171\) | 3.11598 | − | 9.61252i | 0.238285 | − | 0.735088i | ||||
\(172\) | −2.99229 | − | 1.37202i | −0.228160 | − | 0.104615i | ||||
\(173\) | 6.58294 | − | 6.58294i | 0.500492 | − | 0.500492i | −0.411099 | − | 0.911591i | \(-0.634855\pi\) |
0.911591 | + | 0.411099i | \(0.134855\pi\) | |||||||
\(174\) | −4.60205 | + | 4.79957i | −0.348880 | + | 0.363854i | ||||
\(175\) | −12.5788 | − | 10.2016i | −0.950871 | − | 0.771165i | ||||
\(176\) | −6.92197 | + | 5.96127i | −0.521763 | + | 0.449348i | ||||
\(177\) | 10.3851 | − | 7.55067i | 0.780590 | − | 0.567543i | ||||
\(178\) | 16.0506 | − | 2.88328i | 1.20304 | − | 0.216111i | ||||
\(179\) | 9.12480i | 0.682019i | 0.940060 | + | 0.341010i | \(0.110769\pi\) | ||||
−0.940060 | + | 0.341010i | \(0.889231\pi\) | |||||||
\(180\) | −1.25933 | − | 13.3572i | −0.0938649 | − | 0.995585i | ||||
\(181\) | − | 2.94123i | − | 0.218620i | −0.994008 | − | 0.109310i | \(-0.965136\pi\) | ||
0.994008 | − | 0.109310i | \(-0.0348641\pi\) | |||||||
\(182\) | −1.20994 | − | 6.73547i | −0.0896868 | − | 0.499266i | ||||
\(183\) | −12.5668 | + | 9.13690i | −0.928962 | + | 0.675419i | ||||
\(184\) | 14.2848 | + | 3.68061i | 1.05309 | + | 0.271338i | ||||
\(185\) | −4.89408 | + | 5.43139i | −0.359820 | + | 0.399323i | ||||
\(186\) | −11.4781 | − | 11.0057i | −0.841616 | − | 0.806980i | ||||
\(187\) | −6.95162 | + | 6.95162i | −0.508353 | + | 0.508353i | ||||
\(188\) | −2.16638 | + | 4.72475i | −0.158000 | + | 0.344588i | ||||
\(189\) | 15.0044 | + | 7.62561i | 1.09141 | + | 0.554682i | ||||
\(190\) | 10.3717 | − | 2.42553i | 0.752442 | − | 0.175967i | ||||
\(191\) | 1.93237i | 0.139822i | 0.997553 | + | 0.0699108i | \(0.0222715\pi\) | ||||
−0.997553 | + | 0.0699108i | \(0.977729\pi\) | |||||||
\(192\) | 13.7495 | − | 1.71814i | 0.992283 | − | 0.123996i | ||||
\(193\) | −6.07278 | + | 6.07278i | −0.437128 | + | 0.437128i | −0.891044 | − | 0.453916i | \(-0.850027\pi\) |
0.453916 | + | 0.891044i | \(0.350027\pi\) | |||||||
\(194\) | −4.59175 | − | 3.19327i | −0.329668 | − | 0.229263i | ||||
\(195\) | 0.604929 | − | 5.75413i | 0.0433199 | − | 0.412062i | ||||
\(196\) | 2.43071 | + | 6.54728i | 0.173622 | + | 0.467663i | ||||
\(197\) | 13.4343 | + | 13.4343i | 0.957153 | + | 0.957153i | 0.999119 | − | 0.0419662i | \(-0.0133622\pi\) |
−0.0419662 | + | 0.999119i | \(0.513362\pi\) | |||||||
\(198\) | 1.31108 | − | 9.60015i | 0.0931741 | − | 0.682253i | ||||
\(199\) | − | 18.4880i | − | 1.31058i | −0.755377 | − | 0.655290i | \(-0.772546\pi\) | ||
0.755377 | − | 0.655290i | \(-0.227454\pi\) | |||||||
\(200\) | 11.3669 | − | 8.41389i | 0.803762 | − | 0.594952i | ||||
\(201\) | 20.9614 | + | 3.31256i | 1.47851 | + | 0.233650i | ||||
\(202\) | −12.4474 | + | 2.23601i | −0.875795 | + | 0.157325i | ||||
\(203\) | 6.21757 | − | 6.21757i | 0.436388 | − | 0.436388i | ||||
\(204\) | 14.6185 | − | 2.94427i | 1.02350 | − | 0.206140i | ||||
\(205\) | −1.25562 | − | 24.1293i | −0.0876965 | − | 1.68526i | ||||
\(206\) | −2.90497 | + | 4.17719i | −0.202399 | + | 0.291038i | ||||
\(207\) | −13.9360 | + | 7.11284i | −0.968617 | + | 0.494376i | ||||
\(208\) | 5.95905 | + | 0.444365i | 0.413185 | + | 0.0308111i | ||||
\(209\) | 7.69249 | 0.532101 | ||||||||
\(210\) | 1.29392 | + | 17.6942i | 0.0892889 | + | 1.22102i | ||||
\(211\) | 16.4703i | 1.13386i | 0.823766 | + | 0.566930i | \(0.191869\pi\) | ||||
−0.823766 | + | 0.566930i | \(0.808131\pi\) | |||||||
\(212\) | 6.87112 | − | 14.9855i | 0.471910 | − | 1.02921i | ||||
\(213\) | 10.3327 | − | 7.51256i | 0.707983 | − | 0.514752i | ||||
\(214\) | −8.45345 | − | 5.87884i | −0.577866 | − | 0.401869i | ||||
\(215\) | 2.73415 | + | 2.46367i | 0.186468 | + | 0.168021i | ||||
\(216\) | −9.71719 | + | 11.0262i | −0.661171 | + | 0.750235i | ||||
\(217\) | 14.8693 | + | 14.8693i | 1.00939 | + | 1.00939i | ||||
\(218\) | −1.95605 | + | 0.351380i | −0.132480 | + | 0.0237984i | ||||
\(219\) | 4.43829 | + | 0.701388i | 0.299912 | + | 0.0473954i | ||||
\(220\) | 9.37716 | − | 4.04747i | 0.632208 | − | 0.272880i | ||||
\(221\) | 6.43084 | 0.432585 | ||||||||
\(222\) | 8.00713 | − | 0.168226i | 0.537403 | − | 0.0112906i | ||||
\(223\) | 4.42933 | − | 4.42933i | 0.296610 | − | 0.296610i | −0.543074 | − | 0.839685i | \(-0.682740\pi\) |
0.839685 | + | 0.543074i | \(0.182740\pi\) | |||||||
\(224\) | −18.2256 | + | 1.88960i | −1.21775 | + | 0.126255i | ||||
\(225\) | −3.11941 | + | 14.6721i | −0.207961 | + | 0.978137i | ||||
\(226\) | −21.8172 | − | 15.1725i | −1.45126 | − | 1.00926i | ||||
\(227\) | −10.1132 | − | 10.1132i | −0.671238 | − | 0.671238i | 0.286764 | − | 0.958001i | \(-0.407421\pi\) |
−0.958001 | + | 0.286764i | \(0.907421\pi\) | |||||||
\(228\) | −9.71726 | − | 6.45921i | −0.643541 | − | 0.427771i | ||||
\(229\) | −14.7318 | −0.973503 | −0.486752 | − | 0.873540i | \(-0.661818\pi\) | ||||
−0.486752 | + | 0.873540i | \(0.661818\pi\) | |||||||
\(230\) | −14.0112 | − | 8.69998i | −0.923874 | − | 0.573660i | ||||
\(231\) | −2.00000 | + | 12.6557i | −0.131590 | + | 0.832685i | ||||
\(232\) | 3.90287 | + | 6.61215i | 0.256236 | + | 0.434109i | ||||
\(233\) | 5.91148 | + | 5.91148i | 0.387274 | + | 0.387274i | 0.873714 | − | 0.486440i | \(-0.161705\pi\) |
−0.486440 | + | 0.873714i | \(0.661705\pi\) | |||||||
\(234\) | −5.04690 | + | 3.83405i | −0.329926 | + | 0.250639i | ||||
\(235\) | 3.89008 | − | 4.31716i | 0.253761 | − | 0.281621i | ||||
\(236\) | −5.16016 | − | 13.8993i | −0.335898 | − | 0.904765i | ||||
\(237\) | −11.6113 | + | 8.44224i | −0.754237 | + | 0.548383i | ||||
\(238\) | −19.4086 | + | 3.48650i | −1.25807 | + | 0.225996i | ||||
\(239\) | −24.4787 | −1.58339 | −0.791697 | − | 0.610914i | \(-0.790802\pi\) | ||||
−0.791697 | + | 0.610914i | \(0.790802\pi\) | |||||||
\(240\) | −15.2439 | − | 2.76097i | −0.983991 | − | 0.178220i | ||||
\(241\) | 7.20044 | 0.463821 | 0.231911 | − | 0.972737i | \(-0.425502\pi\) | ||||
0.231911 | + | 0.972737i | \(0.425502\pi\) | |||||||
\(242\) | −8.05142 | + | 1.44634i | −0.517565 | + | 0.0929740i | ||||
\(243\) | −0.0268543 | − | 15.5884i | −0.00172270 | − | 0.999999i | ||||
\(244\) | 6.24420 | + | 16.8192i | 0.399744 | + | 1.07674i | ||||
\(245\) | −0.405772 | − | 7.79771i | −0.0259238 | − | 0.498178i | ||||
\(246\) | −18.3185 | + | 19.1048i | −1.16795 | + | 1.21808i | ||||
\(247\) | −3.55810 | − | 3.55810i | −0.226397 | − | 0.226397i | ||||
\(248\) | −15.8129 | + | 9.33366i | −1.00412 | + | 0.592688i | ||||
\(249\) | −12.7730 | − | 2.01854i | −0.809457 | − | 0.127920i | ||||
\(250\) | −14.9391 | + | 5.17907i | −0.944833 | + | 0.327553i | ||||
\(251\) | 17.5748 | 1.10931 | 0.554656 | − | 0.832080i | \(-0.312850\pi\) | ||||
0.554656 | + | 0.832080i | \(0.312850\pi\) | |||||||
\(252\) | 13.1531 | − | 14.3075i | 0.828570 | − | 0.901290i | ||||
\(253\) | −8.42223 | − | 8.42223i | −0.529501 | − | 0.529501i | ||||
\(254\) | 11.7625 | + | 8.18006i | 0.738044 | + | 0.513263i | ||||
\(255\) | −16.5808 | − | 1.74313i | −1.03833 | − | 0.109159i | ||||
\(256\) | 2.37304 | − | 15.8230i | 0.148315 | − | 0.988940i | ||||
\(257\) | 1.75603 | − | 1.75603i | 0.109538 | − | 0.109538i | −0.650213 | − | 0.759752i | \(-0.725321\pi\) |
0.759752 | + | 0.650213i | \(0.225321\pi\) | |||||||
\(258\) | −0.0846847 | − | 4.03078i | −0.00527224 | − | 0.250945i | ||||
\(259\) | −10.5907 | −0.658075 | ||||||||
\(260\) | −6.20946 | − | 2.46521i | −0.385094 | − | 0.152886i | ||||
\(261\) | −7.74698 | − | 2.51125i | −0.479526 | − | 0.155442i | ||||
\(262\) | −3.82585 | + | 0.687265i | −0.236362 | + | 0.0424594i | ||||
\(263\) | 12.6682 | + | 12.6682i | 0.781156 | + | 0.781156i | 0.980026 | − | 0.198870i | \(-0.0637272\pi\) |
−0.198870 | + | 0.980026i | \(0.563727\pi\) | |||||||
\(264\) | −10.2658 | − | 4.44852i | −0.631816 | − | 0.273787i | ||||
\(265\) | −12.3382 | + | 13.6927i | −0.757927 | + | 0.841138i | ||||
\(266\) | 12.6676 | + | 8.80948i | 0.776698 | + | 0.540144i | ||||
\(267\) | 11.7451 | + | 16.1541i | 0.718790 | + | 0.988613i | ||||
\(268\) | 10.2133 | − | 22.2747i | 0.623879 | − | 1.36064i | ||||
\(269\) | − | 8.45856i | − | 0.515728i | −0.966181 | − | 0.257864i | \(-0.916981\pi\) | ||
0.966181 | − | 0.257864i | \(-0.0830186\pi\) | |||||||
\(270\) | 14.0518 | − | 8.51742i | 0.855166 | − | 0.518354i | ||||
\(271\) | −2.72369 | −0.165453 | −0.0827263 | − | 0.996572i | \(-0.526363\pi\) | ||||
−0.0827263 | + | 0.996572i | \(0.526363\pi\) | |||||||
\(272\) | 1.28046 | − | 17.1713i | 0.0776392 | − | 1.04116i | ||||
\(273\) | 6.77889 | − | 4.92872i | 0.410277 | − | 0.298300i | ||||
\(274\) | −11.6177 | + | 16.7056i | −0.701852 | + | 1.00922i | ||||
\(275\) | −11.3572 | + | 1.18521i | −0.684867 | + | 0.0714707i | ||||
\(276\) | 3.56713 | + | 17.7110i | 0.214716 | + | 1.06608i | ||||
\(277\) | 18.4490 | − | 18.4490i | 1.10849 | − | 1.10849i | 0.115146 | − | 0.993349i | \(-0.463266\pi\) |
0.993349 | − | 0.115146i | \(-0.0367335\pi\) | |||||||
\(278\) | 1.19298 | − | 0.214304i | 0.0715503 | − | 0.0128531i | ||||
\(279\) | 6.00561 | − | 18.5268i | 0.359547 | − | 1.10917i | ||||
\(280\) | 20.0770 | + | 4.07363i | 1.19983 | + | 0.243446i | ||||
\(281\) | 21.0738i | 1.25716i | 0.777746 | + | 0.628579i | \(0.216363\pi\) | ||||
−0.777746 | + | 0.628579i | \(0.783637\pi\) | |||||||
\(282\) | −6.36450 | + | 0.133715i | −0.379000 | + | 0.00796262i | ||||
\(283\) | 2.63446 | + | 2.63446i | 0.156602 | + | 0.156602i | 0.781059 | − | 0.624457i | \(-0.214680\pi\) |
−0.624457 | + | 0.781059i | \(0.714680\pi\) | |||||||
\(284\) | −5.13412 | − | 13.8291i | −0.304654 | − | 0.820607i | ||||
\(285\) | 8.20950 | + | 10.1384i | 0.486289 | + | 0.600547i | ||||
\(286\) | −3.96120 | − | 2.75477i | −0.234231 | − | 0.162893i | ||||
\(287\) | 24.7492 | − | 24.7492i | 1.46090 | − | 1.46090i | ||||
\(288\) | 9.23256 | + | 14.2394i | 0.544034 | + | 0.839063i | ||||
\(289\) | − | 1.53076i | − | 0.0900446i | ||||||
\(290\) | −1.95480 | − | 8.35882i | −0.114790 | − | 0.490847i | ||||
\(291\) | 1.06924 | − | 6.76597i | 0.0626797 | − | 0.396628i | ||||
\(292\) | 2.16253 | − | 4.71635i | 0.126553 | − | 0.276003i | ||||
\(293\) | −17.1460 | + | 17.1460i | −1.00168 | + | 1.00168i | −0.00168124 | + | 0.999999i | \(0.500535\pi\) |
−0.999999 | + | 0.00168124i | \(0.999465\pi\) | |||||||
\(294\) | −5.91988 | + | 6.17396i | −0.345254 | + | 0.360073i | ||||
\(295\) | 0.861415 | + | 16.5538i | 0.0501535 | + | 0.963800i | ||||
\(296\) | 2.30743 | − | 8.95538i | 0.134117 | − | 0.520521i | ||||
\(297\) | 11.2823 | − | 3.67873i | 0.654664 | − | 0.213461i | ||||
\(298\) | −1.95987 | − | 10.9101i | −0.113532 | − | 0.632008i | ||||
\(299\) | 7.79128i | 0.450581i | ||||||||
\(300\) | 15.3418 | + | 8.03923i | 0.885759 | + | 0.464145i | ||||
\(301\) | 5.33135i | 0.307294i | ||||||||
\(302\) | 8.29760 | − | 1.49056i | 0.477473 | − | 0.0857720i | ||||
\(303\) | −9.10846 | − | 12.5276i | −0.523267 | − | 0.719694i | ||||
\(304\) | −10.2091 | + | 8.79219i | −0.585533 | + | 0.504267i | ||||
\(305\) | −1.04238 | − | 20.0314i | −0.0596865 | − | 1.14700i | ||||
\(306\) | 11.0480 | + | 14.5429i | 0.631571 | + | 0.831362i | ||||
\(307\) | −3.18267 | + | 3.18267i | −0.181644 | + | 0.181644i | −0.792072 | − | 0.610428i | \(-0.790998\pi\) |
0.610428 | + | 0.792072i | \(0.290998\pi\) | |||||||
\(308\) | 13.4486 | + | 6.16643i | 0.766305 | + | 0.351365i | ||||
\(309\) | −6.15511 | − | 0.972701i | −0.350152 | − | 0.0553350i | ||||
\(310\) | 19.9900 | − | 4.67488i | 1.13536 | − | 0.265515i | ||||
\(311\) | − | 6.88470i | − | 0.390395i | −0.980764 | − | 0.195198i | \(-0.937465\pi\) | ||
0.980764 | − | 0.195198i | \(-0.0625349\pi\) | |||||||
\(312\) | 2.69073 | + | 6.80599i | 0.152333 | + | 0.385313i | ||||
\(313\) | 2.20044 | − | 2.20044i | 0.124376 | − | 0.124376i | −0.642179 | − | 0.766555i | \(-0.721969\pi\) |
0.766555 | + | 0.642179i | \(0.221969\pi\) | |||||||
\(314\) | 1.83222 | − | 2.63464i | 0.103398 | − | 0.148681i | ||||
\(315\) | −18.8142 | + | 10.8704i | −1.06006 | + | 0.612477i | ||||
\(316\) | 5.76947 | + | 15.5405i | 0.324558 | + | 0.874219i | ||||
\(317\) | −12.2682 | − | 12.2682i | −0.689052 | − | 0.689052i | 0.272971 | − | 0.962022i | \(-0.411994\pi\) |
−0.962022 | + | 0.272971i | \(0.911994\pi\) | |||||||
\(318\) | 20.1863 | − | 0.424104i | 1.13199 | − | 0.0237826i | ||||
\(319\) | − | 6.19958i | − | 0.347110i | ||||||
\(320\) | −7.81884 | + | 16.0893i | −0.437086 | + | 0.899420i | ||||
\(321\) | 1.96847 | − | 12.4562i | 0.109869 | − | 0.695239i | ||||
\(322\) | −4.22407 | − | 23.5144i | −0.235398 | − | 1.31041i | ||||
\(323\) | −10.2528 | + | 10.2528i | −0.570483 | + | 0.570483i | ||||
\(324\) | −17.3409 | − | 4.82644i | −0.963381 | − | 0.268136i | ||||
\(325\) | 5.80141 | + | 4.70499i | 0.321804 | + | 0.260986i | ||||
\(326\) | 16.2872 | + | 11.3267i | 0.902067 | + | 0.627330i | ||||
\(327\) | −1.43135 | − | 1.96866i | −0.0791540 | − | 0.108867i | ||||
\(328\) | 15.5354 | + | 26.3198i | 0.857800 | + | 1.45327i | ||||
\(329\) | 8.41808 | 0.464104 | ||||||||
\(330\) | 9.46658 | + | 8.17640i | 0.521118 | + | 0.450096i | ||||
\(331\) | 22.1105i | 1.21530i | 0.794204 | + | 0.607651i | \(0.207888\pi\) | ||||
−0.794204 | + | 0.607651i | \(0.792112\pi\) | |||||||
\(332\) | −6.22358 | + | 13.5732i | −0.341563 | + | 0.744929i | ||||
\(333\) | 4.45915 | + | 8.73668i | 0.244360 | + | 0.478767i | ||||
\(334\) | 1.17602 | − | 1.69105i | 0.0643489 | − | 0.0925303i | ||||
\(335\) | −18.3396 | + | 20.3531i | −1.00200 | + | 1.11201i | ||||
\(336\) | −11.8106 | − | 19.0820i | −0.644324 | − | 1.04101i | ||||
\(337\) | 2.03793 | + | 2.03793i | 0.111013 | + | 0.111013i | 0.760432 | − | 0.649418i | \(-0.224987\pi\) |
−0.649418 | + | 0.760432i | \(0.724987\pi\) | |||||||
\(338\) | −2.69253 | − | 14.9887i | −0.146454 | − | 0.815279i | ||||
\(339\) | 5.08036 | − | 32.1478i | 0.275927 | − | 1.74603i | ||||
\(340\) | −7.10361 | + | 17.8928i | −0.385247 | + | 0.970376i | ||||
\(341\) | 14.8262 | 0.802885 | ||||||||
\(342\) | 1.93369 | − | 14.1591i | 0.104562 | − | 0.765637i | ||||
\(343\) | −8.03485 | + | 8.03485i | −0.433841 | + | 0.433841i | ||||
\(344\) | −4.50813 | − | 1.16156i | −0.243062 | − | 0.0626270i | ||||
\(345\) | 2.11189 | − | 20.0885i | 0.113700 | − | 1.08153i | ||||
\(346\) | 7.51699 | − | 10.8090i | 0.404116 | − | 0.581097i | ||||
\(347\) | 2.80739 | + | 2.80739i | 0.150709 | + | 0.150709i | 0.778435 | − | 0.627726i | \(-0.216014\pi\) |
−0.627726 | + | 0.778435i | \(0.716014\pi\) | |||||||
\(348\) | −5.20564 | + | 7.83139i | −0.279052 | + | 0.419807i | ||||
\(349\) | 36.8980 | 1.97511 | 0.987554 | − | 0.157283i | \(-0.0502735\pi\) | ||||
0.987554 | + | 0.157283i | \(0.0502735\pi\) | |||||||
\(350\) | −20.0597 | − | 11.0546i | −1.07224 | − | 0.590895i | ||||
\(351\) | −6.92010 | − | 3.51696i | −0.369367 | − | 0.187721i | ||||
\(352\) | −8.14435 | + | 10.0285i | −0.434095 | + | 0.534520i | ||||
\(353\) | 2.00153 | + | 2.00153i | 0.106531 | + | 0.106531i | 0.758363 | − | 0.651832i | \(-0.225999\pi\) |
−0.651832 | + | 0.758363i | \(0.725999\pi\) | |||||||
\(354\) | 12.5673 | − | 13.1067i | 0.667947 | − | 0.696616i | ||||
\(355\) | 0.857068 | + | 16.4703i | 0.0454884 | + | 0.874151i | ||||
\(356\) | 21.6204 | − | 8.02667i | 1.14588 | − | 0.425413i | ||||
\(357\) | −14.2023 | − | 19.5337i | −0.751668 | − | 1.03383i | ||||
\(358\) | 2.28159 | + | 12.7011i | 0.120586 | + | 0.671274i | ||||
\(359\) | 12.9584 | 0.683920 | 0.341960 | − | 0.939714i | \(-0.388909\pi\) | ||||
0.341960 | + | 0.939714i | \(0.388909\pi\) | |||||||
\(360\) | −5.09277 | − | 18.2774i | −0.268413 | − | 0.963304i | ||||
\(361\) | −7.65447 | −0.402867 | ||||||||
\(362\) | −0.735434 | − | 4.09400i | −0.0386536 | − | 0.215176i | ||||
\(363\) | −5.89168 | − | 8.10334i | −0.309233 | − | 0.425315i | ||||
\(364\) | −3.36831 | − | 9.07278i | −0.176548 | − | 0.475543i | ||||
\(365\) | −3.88316 | + | 4.30948i | −0.203254 | + | 0.225569i | ||||
\(366\) | −15.2075 | + | 15.8602i | −0.794908 | + | 0.829026i | ||||
\(367\) | 20.3623 | + | 20.3623i | 1.06291 | + | 1.06291i | 0.997884 | + | 0.0650212i | \(0.0207115\pi\) |
0.0650212 | + | 0.997884i | \(0.479289\pi\) | |||||||
\(368\) | 20.8039 | + | 1.55134i | 1.08448 | + | 0.0808691i | ||||
\(369\) | −30.8370 | − | 9.99605i | −1.60531 | − | 0.520374i | ||||
\(370\) | −5.45415 | + | 8.78386i | −0.283548 | + | 0.456651i | ||||
\(371\) | −26.6996 | −1.38617 | ||||||||
\(372\) | −18.7287 | − | 12.4492i | −0.971037 | − | 0.645463i | ||||
\(373\) | −10.1764 | − | 10.1764i | −0.526916 | − | 0.526916i | 0.392735 | − | 0.919652i | \(-0.371529\pi\) |
−0.919652 | + | 0.392735i | \(0.871529\pi\) | |||||||
\(374\) | −7.93799 | + | 11.4144i | −0.410464 | + | 0.590224i | ||||
\(375\) | −13.6826 | − | 13.7035i | −0.706566 | − | 0.707647i | ||||
\(376\) | −1.83407 | + | 7.11823i | −0.0945850 | + | 0.367095i | ||||
\(377\) | −2.86757 | + | 2.86757i | −0.147687 | + | 0.147687i | ||||
\(378\) | 22.7919 | + | 6.86259i | 1.17229 | + | 0.352974i | ||||
\(379\) | 13.0462 | 0.670137 | 0.335068 | − | 0.942194i | \(-0.391241\pi\) | ||||
0.335068 | + | 0.942194i | \(0.391241\pi\) | |||||||
\(380\) | 13.8302 | − | 5.96955i | 0.709476 | − | 0.306231i | ||||
\(381\) | −2.73902 | + | 17.3321i | −0.140324 | + | 0.887951i | ||||
\(382\) | 0.483176 | + | 2.68973i | 0.0247214 | + | 0.137619i | ||||
\(383\) | 11.1099 | + | 11.1099i | 0.567687 | + | 0.567687i | 0.931480 | − | 0.363793i | \(-0.118518\pi\) |
−0.363793 | + | 0.931480i | \(0.618518\pi\) | |||||||
\(384\) | 18.7087 | − | 5.82950i | 0.954726 | − | 0.297485i | ||||
\(385\) | −12.2884 | − | 11.0728i | −0.626277 | − | 0.564321i | ||||
\(386\) | −6.93445 | + | 9.97137i | −0.352954 | + | 0.507529i | ||||
\(387\) | 4.39803 | − | 2.24473i | 0.223565 | − | 0.114106i | ||||
\(388\) | −7.18986 | − | 3.29668i | −0.365010 | − | 0.167364i | ||||
\(389\) | 14.2176i | 0.720861i | 0.932786 | + | 0.360431i | \(0.117370\pi\) | ||||
−0.932786 | + | 0.360431i | \(0.882630\pi\) | |||||||
\(390\) | −0.596760 | − | 8.16062i | −0.0302181 | − | 0.413229i | ||||
\(391\) | 22.4509 | 1.13539 | ||||||||
\(392\) | 5.02048 | + | 8.50559i | 0.253573 | + | 0.429597i | ||||
\(393\) | −2.79959 | − | 3.85052i | −0.141221 | − | 0.194233i | ||||
\(394\) | 22.0588 | + | 15.3405i | 1.11130 | + | 0.772842i | ||||
\(395\) | −0.963130 | − | 18.5085i | −0.0484603 | − | 0.931262i | ||||
\(396\) | −0.575520 | − | 13.6906i | −0.0289210 | − | 0.687978i | ||||
\(397\) | −24.3286 | + | 24.3286i | −1.22102 | + | 1.22102i | −0.253746 | + | 0.967271i | \(0.581663\pi\) |
−0.967271 | + | 0.253746i | \(0.918337\pi\) | |||||||
\(398\) | −4.62280 | − | 25.7341i | −0.231720 | − | 1.28993i | ||||
\(399\) | −2.94977 | + | 18.6657i | −0.147673 | + | 0.934455i | ||||
\(400\) | 13.7181 | − | 14.5538i | 0.685907 | − | 0.727689i | ||||
\(401\) | 21.3193i | 1.06463i | 0.846545 | + | 0.532317i | \(0.178679\pi\) | ||||
−0.846545 | + | 0.532317i | \(0.821321\pi\) | |||||||
\(402\) | 30.0052 | − | 0.630396i | 1.49652 | − | 0.0314413i | ||||
\(403\) | −6.85775 | − | 6.85775i | −0.341609 | − | 0.341609i | ||||
\(404\) | −16.7668 | + | 6.22476i | −0.834181 | + | 0.309694i | ||||
\(405\) | 16.8890 | + | 10.9436i | 0.839219 | + | 0.543793i | ||||
\(406\) | 7.09979 | − | 10.2091i | 0.352357 | − | 0.506670i | ||||
\(407\) | −5.28003 | + | 5.28003i | −0.261721 | + | 0.261721i | ||||
\(408\) | 19.6118 | − | 7.75348i | 0.970928 | − | 0.383854i | ||||
\(409\) | 0.899012i | 0.0444533i | 0.999753 | + | 0.0222266i | \(0.00707554\pi\) | ||||
−0.999753 | + | 0.0222266i | \(0.992924\pi\) | |||||||
\(410\) | −7.78111 | − | 33.2724i | −0.384282 | − | 1.64321i | ||||
\(411\) | −24.6159 | − | 3.89008i | −1.21421 | − | 0.191883i | ||||
\(412\) | −2.99904 | + | 6.54073i | −0.147752 | + | 0.322239i | ||||
\(413\) | −16.9791 | + | 16.9791i | −0.835485 | + | 0.835485i | ||||
\(414\) | −17.6194 | + | 13.3852i | −0.865948 | + | 0.657846i | ||||
\(415\) | 11.1754 | − | 12.4023i | 0.548579 | − | 0.608806i | ||||
\(416\) | 8.40571 | − | 0.871492i | 0.412124 | − | 0.0427284i | ||||
\(417\) | 0.872972 | + | 1.20067i | 0.0427496 | + | 0.0587972i | ||||
\(418\) | 10.7074 | − | 1.92345i | 0.523718 | − | 0.0940792i | ||||
\(419\) | 31.7713i | 1.55213i | 0.630653 | + | 0.776065i | \(0.282787\pi\) | ||||
−0.630653 | + | 0.776065i | \(0.717213\pi\) | |||||||
\(420\) | 6.22536 | + | 24.3056i | 0.303766 | + | 1.18599i | ||||
\(421\) | − | 21.3473i | − | 1.04040i | −0.854044 | − | 0.520201i | \(-0.825857\pi\) | ||
0.854044 | − | 0.520201i | \(-0.174143\pi\) | |||||||
\(422\) | 4.11828 | + | 22.9255i | 0.200475 | + | 1.11600i | ||||
\(423\) | −3.54437 | − | 6.94439i | −0.172333 | − | 0.337648i | ||||
\(424\) | 5.81712 | − | 22.5769i | 0.282504 | − | 1.09643i | ||||
\(425\) | 13.5577 | − | 16.7170i | 0.657643 | − | 0.810895i | ||||
\(426\) | 12.5039 | − | 13.0406i | 0.605817 | − | 0.631819i | ||||
\(427\) | 20.5460 | − | 20.5460i | 0.994291 | − | 0.994291i | ||||
\(428\) | −13.2366 | − | 6.06923i | −0.639815 | − | 0.293367i | ||||
\(429\) | 0.922407 | − | 5.83686i | 0.0445342 | − | 0.281806i | ||||
\(430\) | 4.42178 | + | 2.74561i | 0.213237 | + | 0.132405i | ||||
\(431\) | − | 5.92452i | − | 0.285374i | −0.989768 | − | 0.142687i | \(-0.954426\pi\) | ||
0.989768 | − | 0.142687i | \(-0.0455743\pi\) | |||||||
\(432\) | −10.7687 | + | 17.7774i | −0.518108 | + | 0.855315i | ||||
\(433\) | −19.7804 | + | 19.7804i | −0.950585 | + | 0.950585i | −0.998835 | − | 0.0482500i | \(-0.984636\pi\) |
0.0482500 | + | 0.998835i | \(0.484636\pi\) | |||||||
\(434\) | 24.4150 | + | 16.9791i | 1.17196 | + | 0.815021i | ||||
\(435\) | 8.17080 | − | 6.61625i | 0.391760 | − | 0.317225i | ||||
\(436\) | −2.63483 | + | 0.978194i | −0.126186 | + | 0.0468470i | ||||
\(437\) | −12.4218 | − | 12.4218i | −0.594217 | − | 0.594217i | ||||
\(438\) | 6.35318 | − | 0.133477i | 0.303567 | − | 0.00637779i | ||||
\(439\) | 16.2344i | 0.774827i | 0.921906 | + | 0.387413i | \(0.126631\pi\) | ||||
−0.921906 | + | 0.387413i | \(0.873369\pi\) | |||||||
\(440\) | 12.0403 | − | 7.97850i | 0.574001 | − | 0.380360i | ||||
\(441\) | −9.96539 | − | 3.23036i | −0.474542 | − | 0.153827i | ||||
\(442\) | 8.95130 | − | 1.60799i | 0.425770 | − | 0.0764841i | ||||
\(443\) | 28.5774 | − | 28.5774i | 1.35775 | − | 1.35775i | 0.481070 | − | 0.876682i | \(-0.340248\pi\) |
0.876682 | − | 0.481070i | \(-0.159752\pi\) | |||||||
\(444\) | 11.1033 | − | 2.23629i | 0.526940 | − | 0.106129i | ||||
\(445\) | −25.7496 | + | 1.33994i | −1.22065 | + | 0.0635191i | ||||
\(446\) | 5.05781 | − | 7.27286i | 0.239494 | − | 0.344380i | ||||
\(447\) | 10.9805 | − | 7.98357i | 0.519359 | − | 0.377610i | ||||
\(448\) | −24.8963 | + | 7.18739i | −1.17624 | + | 0.339572i | ||||
\(449\) | 2.81035 | 0.132628 | 0.0663142 | − | 0.997799i | \(-0.478876\pi\) | ||||
0.0663142 | + | 0.997799i | \(0.478876\pi\) | |||||||
\(450\) | −0.673362 | + | 21.2025i | −0.0317426 | + | 0.999496i | ||||
\(451\) | − | 24.6775i | − | 1.16202i | ||||||
\(452\) | −34.1619 | − | 15.6639i | −1.60684 | − | 0.736766i | ||||
\(453\) | 6.07182 | + | 8.35110i | 0.285279 | + | 0.392369i | ||||
\(454\) | −16.6057 | − | 11.5482i | −0.779342 | − | 0.541983i | ||||
\(455\) | 0.562291 | + | 10.8056i | 0.0263606 | + | 0.506572i | ||||
\(456\) | −15.1409 | − | 6.56105i | −0.709035 | − | 0.307249i | ||||
\(457\) | −29.1068 | − | 29.1068i | −1.36156 | − | 1.36156i | −0.871934 | − | 0.489623i | \(-0.837134\pi\) |
−0.489623 | − | 0.871934i | \(-0.662866\pi\) | |||||||
\(458\) | −20.5057 | + | 3.68358i | −0.958166 | + | 0.172122i | ||||
\(459\) | −10.1343 | + | 19.9406i | −0.473028 | + | 0.930747i | ||||
\(460\) | −21.6781 | − | 8.60638i | −1.01075 | − | 0.401274i | ||||
\(461\) | 27.6096 | 1.28591 | 0.642954 | − | 0.765905i | \(-0.277709\pi\) | ||||
0.642954 | + | 0.765905i | \(0.277709\pi\) | |||||||
\(462\) | 0.380609 | + | 18.1160i | 0.0177075 | + | 0.842833i | ||||
\(463\) | 15.0078 | − | 15.0078i | 0.697470 | − | 0.697470i | −0.266395 | − | 0.963864i | \(-0.585832\pi\) |
0.963864 | + | 0.266395i | \(0.0858324\pi\) | |||||||
\(464\) | 7.08585 | + | 8.22779i | 0.328953 | + | 0.381966i | ||||
\(465\) | 15.8227 | + | 19.5404i | 0.733759 | + | 0.906163i | ||||
\(466\) | 9.70650 | + | 6.75026i | 0.449645 | + | 0.312700i | ||||
\(467\) | 13.7467 | + | 13.7467i | 0.636119 | + | 0.636119i | 0.949596 | − | 0.313477i | \(-0.101494\pi\) |
−0.313477 | + | 0.949596i | \(0.601494\pi\) | |||||||
\(468\) | −6.06628 | + | 6.59868i | −0.280414 | + | 0.305024i | ||||
\(469\) | −39.6867 | −1.83256 | ||||||||
\(470\) | 4.33526 | − | 6.98189i | 0.199970 | − | 0.322051i | ||||
\(471\) | 3.88216 | + | 0.613503i | 0.178881 | + | 0.0282687i | ||||
\(472\) | −10.6580 | − | 18.0566i | −0.490575 | − | 0.831121i | ||||
\(473\) | 2.65796 | + | 2.65796i | 0.122213 | + | 0.122213i | ||||
\(474\) | −14.0513 | + | 14.6544i | −0.645397 | + | 0.673098i | ||||
\(475\) | −16.7506 | + | 1.74804i | −0.768570 | + | 0.0802058i | ||||
\(476\) | −26.1437 | + | 9.70595i | −1.19829 | + | 0.444872i | ||||
\(477\) | 11.2417 | + | 22.0255i | 0.514721 | + | 1.00848i | ||||
\(478\) | −34.0727 | + | 6.12072i | −1.55845 | + | 0.279955i | ||||
\(479\) | 37.7789 | 1.72616 | 0.863081 | − | 0.505066i | \(-0.168532\pi\) | ||||
0.863081 | + | 0.505066i | \(0.168532\pi\) | |||||||
\(480\) | −21.9089 | − | 0.0314436i | −0.999999 | − | 0.00143520i | ||||
\(481\) | 4.88447 | 0.222713 | ||||||||
\(482\) | 10.0225 | − | 1.80042i | 0.456514 | − | 0.0820069i | ||||
\(483\) | 23.6661 | − | 17.2069i | 1.07684 | − | 0.782939i | ||||
\(484\) | −10.8454 | + | 4.02641i | −0.492973 | + | 0.183018i | ||||
\(485\) | 6.56961 | + | 5.91970i | 0.298311 | + | 0.268800i | ||||
\(486\) | −3.93516 | − | 21.6913i | −0.178502 | − | 0.983939i | ||||
\(487\) | −16.6047 | − | 16.6047i | −0.752429 | − | 0.752429i | 0.222503 | − | 0.974932i | \(-0.428577\pi\) |
−0.974932 | + | 0.222503i | \(0.928577\pi\) | |||||||
\(488\) | 12.8970 | + | 21.8499i | 0.583822 | + | 0.989097i | ||||
\(489\) | −3.79265 | + | 23.9994i | −0.171510 | + | 1.08529i | ||||
\(490\) | −2.51457 | − | 10.7524i | −0.113597 | − | 0.485746i | ||||
\(491\) | −6.31858 | −0.285154 | −0.142577 | − | 0.989784i | \(-0.545539\pi\) | ||||
−0.142577 | + | 0.989784i | \(0.545539\pi\) | |||||||
\(492\) | −20.7211 | + | 31.1730i | −0.934181 | + | 1.40539i | ||||
\(493\) | 8.26303 | + | 8.26303i | 0.372148 | + | 0.372148i | ||||
\(494\) | −5.84232 | − | 4.06296i | −0.262858 | − | 0.182801i | ||||
\(495\) | −3.96040 | + | 14.7993i | −0.178007 | + | 0.665180i | ||||
\(496\) | −19.6767 | + | 16.9457i | −0.883508 | + | 0.760886i | ||||
\(497\) | −16.8934 | + | 16.8934i | −0.757771 | + | 0.757771i | ||||
\(498\) | −18.2839 | + | 0.384137i | −0.819322 | + | 0.0172136i | ||||
\(499\) | 29.5722 | 1.32383 | 0.661917 | − | 0.749577i | \(-0.269743\pi\) | ||||
0.661917 | + | 0.749577i | \(0.269743\pi\) | |||||||
\(500\) | −19.4993 | + | 10.9443i | −0.872034 | + | 0.489446i | ||||
\(501\) | 2.49178 | + | 0.393779i | 0.111324 | + | 0.0175927i | ||||
\(502\) | 24.4630 | − | 4.39446i | 1.09184 | − | 0.196134i | ||||
\(503\) | −24.2566 | − | 24.2566i | −1.08155 | − | 1.08155i | −0.996365 | − | 0.0851818i | \(-0.972853\pi\) |
−0.0851818 | − | 0.996365i | \(-0.527147\pi\) | |||||||
\(504\) | 14.7308 | − | 23.2040i | 0.656162 | − | 1.03359i | ||||
\(505\) | 19.9690 | − | 1.03913i | 0.888611 | − | 0.0462409i | ||||
\(506\) | −13.8291 | − | 9.61727i | −0.614779 | − | 0.427540i | ||||
\(507\) | 15.0854 | − | 10.9681i | 0.669964 | − | 0.487110i | ||||
\(508\) | 18.4180 | + | 8.44498i | 0.817165 | + | 0.374685i | ||||
\(509\) | − | 36.5584i | − | 1.62042i | −0.586138 | − | 0.810211i | \(-0.699352\pi\) | ||
0.586138 | − | 0.810211i | \(-0.300648\pi\) | |||||||
\(510\) | −23.5152 | + | 1.71959i | −1.04127 | + | 0.0761448i | ||||
\(511\) | −8.40310 | −0.371731 | ||||||||
\(512\) | −0.653333 | − | 22.6180i | −0.0288735 | − | 0.999583i | ||||
\(513\) | 16.6400 | − | 5.42570i | 0.734676 | − | 0.239551i | ||||
\(514\) | 2.00519 | − | 2.88336i | 0.0884453 | − | 0.127180i | ||||
\(515\) | 5.38525 | − | 5.97648i | 0.237303 | − | 0.263355i | ||||
\(516\) | −1.12574 | − | 5.58940i | −0.0495581 | − | 0.246059i | ||||
\(517\) | 4.19685 | − | 4.19685i | 0.184577 | − | 0.184577i | ||||
\(518\) | −14.7416 | + | 2.64813i | −0.647707 | + | 0.116352i | ||||
\(519\) | 15.9272 | + | 2.51699i | 0.699126 | + | 0.110484i | ||||
\(520\) | −9.25956 | − | 1.87877i | −0.406059 | − | 0.0823896i | ||||
\(521\) | − | 29.0118i | − | 1.27103i | −0.772089 | − | 0.635515i | \(-0.780788\pi\) | ||
0.772089 | − | 0.635515i | \(-0.219212\pi\) | |||||||
\(522\) | −11.4112 | − | 1.55841i | −0.499455 | − | 0.0682097i | ||||
\(523\) | 1.09850 | + | 1.09850i | 0.0480342 | + | 0.0480342i | 0.730716 | − | 0.682682i | \(-0.239186\pi\) |
−0.682682 | + | 0.730716i | \(0.739186\pi\) | |||||||
\(524\) | −5.15348 | + | 1.91325i | −0.225131 | + | 0.0835809i | ||||
\(525\) | 1.47916 | − | 28.0127i | 0.0645560 | − | 1.22257i | ||||
\(526\) | 20.8009 | + | 14.4657i | 0.906963 | + | 0.630735i | ||||
\(527\) | −19.7609 | + | 19.7609i | −0.860800 | + | 0.860800i | ||||
\(528\) | −15.4016 | − | 3.62515i | −0.670269 | − | 0.157764i | ||||
\(529\) | 4.20044i | 0.182628i | ||||||||
\(530\) | −13.7501 | + | 22.1445i | −0.597267 | + | 0.961893i | ||||
\(531\) | 21.1556 | + | 6.85775i | 0.918074 | + | 0.297601i | ||||
\(532\) | 19.8351 | + | 9.09477i | 0.859962 | + | 0.394308i | ||||
\(533\) | −11.4144 | + | 11.4144i | −0.494412 | + | 0.494412i | ||||
\(534\) | 20.3876 | + | 19.5486i | 0.882259 | + | 0.845950i | ||||
\(535\) | 12.0947 | + | 10.8982i | 0.522901 | + | 0.471172i | ||||
\(536\) | 8.64667 | − | 33.5586i | 0.373479 | − | 1.44951i | ||||
\(537\) | −12.7830 | + | 9.29412i | −0.551627 | + | 0.401071i | ||||
\(538\) | −2.11501 | − | 11.7738i | −0.0911844 | − | 0.507603i | ||||
\(539\) | − | 7.97487i | − | 0.343502i | ||||||
\(540\) | 17.4295 | − | 15.3692i | 0.750045 | − | 0.661387i | ||||
\(541\) | 1.84481i | 0.0793147i | 0.999213 | + | 0.0396574i | \(0.0126266\pi\) | ||||
−0.999213 | + | 0.0396574i | \(0.987373\pi\) | |||||||
\(542\) | −3.79120 | + | 0.681040i | −0.162846 | + | 0.0292532i | ||||
\(543\) | 4.12039 | − | 2.99581i | 0.176823 | − | 0.128563i | ||||
\(544\) | −2.51125 | − | 24.2214i | −0.107669 | − | 1.03849i | ||||
\(545\) | 3.13805 | − | 0.163295i | 0.134419 | − | 0.00699481i | ||||
\(546\) | 8.20337 | − | 8.55547i | 0.351072 | − | 0.366140i | ||||
\(547\) | −21.0963 | + | 21.0963i | −0.902012 | + | 0.902012i | −0.995610 | − | 0.0935978i | \(-0.970163\pi\) |
0.0935978 | + | 0.995610i | \(0.470163\pi\) | |||||||
\(548\) | −11.9940 | + | 26.1581i | −0.512356 | + | 1.11742i | ||||
\(549\) | −25.5999 | − | 8.29842i | −1.09258 | − | 0.354168i | ||||
\(550\) | −15.5122 | + | 4.48953i | −0.661440 | + | 0.191434i | ||||
\(551\) | − | 9.14366i | − | 0.389533i | ||||||
\(552\) | 9.39372 | + | 23.7607i | 0.399823 | + | 1.01132i | ||||
\(553\) | 18.9839 | − | 18.9839i | 0.807279 | − | 0.807279i | ||||
\(554\) | 21.0668 | − | 30.2929i | 0.895041 | − | 1.28702i | ||||
\(555\) | −12.5938 | − | 1.32398i | −0.534576 | − | 0.0561997i | ||||
\(556\) | 1.60697 | − | 0.596593i | 0.0681505 | − | 0.0253012i | ||||
\(557\) | 9.36550 | + | 9.36550i | 0.396829 | + | 0.396829i | 0.877113 | − | 0.480284i | \(-0.159466\pi\) |
−0.480284 | + | 0.877113i | \(0.659466\pi\) | |||||||
\(558\) | 3.72691 | − | 27.2897i | 0.157773 | − | 1.15527i | ||||
\(559\) | − | 2.45884i | − | 0.103998i | ||||||
\(560\) | 28.9644 | + | 0.650117i | 1.22397 | + | 0.0274725i | ||||
\(561\) | −16.8192 | − | 2.65796i | −0.710107 | − | 0.112219i | ||||
\(562\) | 5.26936 | + | 29.3333i | 0.222274 | + | 1.23735i | ||||
\(563\) | 3.03352 | − | 3.03352i | 0.127848 | − | 0.127848i | −0.640288 | − | 0.768135i | \(-0.721185\pi\) |
0.768135 | + | 0.640288i | \(0.221185\pi\) | |||||||
\(564\) | −8.82552 | + | 1.77752i | −0.371622 | + | 0.0748472i | ||||
\(565\) | 31.2149 | + | 28.1269i | 1.31322 | + | 1.18331i | ||||
\(566\) | 4.32572 | + | 3.00826i | 0.181823 | + | 0.126447i | ||||
\(567\) | 4.60008 | + | 28.7869i | 0.193185 | + | 1.20894i | ||||
\(568\) | −10.6042 | − | 17.9654i | −0.444944 | − | 0.753813i | ||||
\(569\) | −23.6605 | −0.991898 | −0.495949 | − | 0.868352i | \(-0.665180\pi\) | ||||
−0.495949 | + | 0.868352i | \(0.665180\pi\) | |||||||
\(570\) | 13.9621 | + | 12.0593i | 0.584808 | + | 0.505106i | ||||
\(571\) | − | 13.8475i | − | 0.579498i | −0.957103 | − | 0.289749i | \(-0.906428\pi\) | ||
0.957103 | − | 0.289749i | \(-0.0935718\pi\) | |||||||
\(572\) | −6.20254 | − | 2.84398i | −0.259341 | − | 0.118913i | ||||
\(573\) | −2.70707 | + | 1.96823i | −0.113090 | + | 0.0822240i | ||||
\(574\) | 28.2608 | − | 40.6375i | 1.17958 | − | 1.69618i | ||||
\(575\) | 20.2535 | + | 16.4258i | 0.844630 | + | 0.685002i | ||||
\(576\) | 16.4116 | + | 17.5117i | 0.683815 | + | 0.729655i | ||||
\(577\) | −7.31424 | − | 7.31424i | −0.304496 | − | 0.304496i | 0.538274 | − | 0.842770i | \(-0.319077\pi\) |
−0.842770 | + | 0.538274i | \(0.819077\pi\) | |||||||
\(578\) | −0.382755 | − | 2.13071i | −0.0159205 | − | 0.0886260i | ||||
\(579\) | −14.6929 | − | 2.32193i | −0.610615 | − | 0.0964963i | ||||
\(580\) | −4.81102 | − | 11.1461i | −0.199767 | − | 0.462818i | ||||
\(581\) | 24.1834 | 1.00330 | ||||||||
\(582\) | −0.203480 | − | 9.68514i | −0.00843453 | − | 0.401462i | ||||
\(583\) | −13.3112 | + | 13.3112i | −0.551292 | + | 0.551292i | ||||
\(584\) | 1.83081 | − | 7.10557i | 0.0757594 | − | 0.294030i | ||||
\(585\) | 8.67716 | − | 5.01346i | 0.358756 | − | 0.207281i | ||||
\(586\) | −19.5788 | + | 28.1533i | −0.808795 | + | 1.16300i | ||||
\(587\) | −7.53359 | − | 7.53359i | −0.310944 | − | 0.310944i | 0.534331 | − | 0.845275i | \(-0.320564\pi\) |
−0.845275 | + | 0.534331i | \(0.820564\pi\) | |||||||
\(588\) | −6.69632 | + | 10.0740i | −0.276152 | + | 0.415444i | ||||
\(589\) | 21.8670 | 0.901012 | ||||||||
\(590\) | 5.33820 | + | 22.8264i | 0.219770 | + | 0.939749i | ||||
\(591\) | −5.13661 | + | 32.5038i | −0.211292 | + | 1.33703i | ||||
\(592\) | 0.972558 | − | 13.0423i | 0.0399719 | − | 0.536033i | ||||
\(593\) | 18.0049 | + | 18.0049i | 0.739373 | + | 0.739373i | 0.972457 | − | 0.233084i | \(-0.0748816\pi\) |
−0.233084 | + | 0.972457i | \(0.574882\pi\) | |||||||
\(594\) | 14.7843 | − | 7.94160i | 0.606608 | − | 0.325848i | ||||
\(595\) | 31.1367 | − | 1.62027i | 1.27648 | − | 0.0664246i | ||||
\(596\) | −5.45601 | − | 14.6961i | −0.223487 | − | 0.601977i | ||||
\(597\) | 25.9000 | − | 18.8311i | 1.06002 | − | 0.770705i | ||||
\(598\) | 1.94816 | + | 10.8449i | 0.0796660 | + | 0.443483i | ||||
\(599\) | −19.8681 | −0.811789 | −0.405895 | − | 0.913920i | \(-0.633040\pi\) | ||||
−0.405895 | + | 0.913920i | \(0.633040\pi\) | |||||||
\(600\) | 23.3649 | + | 7.35397i | 0.953869 | + | 0.300224i | ||||
\(601\) | −16.4386 | −0.670546 | −0.335273 | − | 0.942121i | \(-0.608828\pi\) | ||||
−0.335273 | + | 0.942121i | \(0.608828\pi\) | |||||||
\(602\) | 1.33307 | + | 7.42088i | 0.0543318 | + | 0.302453i | ||||
\(603\) | 16.7098 | + | 32.7391i | 0.680476 | + | 1.33324i | ||||
\(604\) | 11.1770 | − | 4.14951i | 0.454786 | − | 0.168841i | ||||
\(605\) | 12.9167 | − | 0.672150i | 0.525139 | − | 0.0273268i | ||||
\(606\) | −15.8108 | − | 15.1601i | −0.642270 | − | 0.615838i | ||||
\(607\) | −17.5088 | − | 17.5088i | −0.710659 | − | 0.710659i | 0.256014 | − | 0.966673i | \(-0.417591\pi\) |
−0.966673 | + | 0.256014i | \(0.917591\pi\) | |||||||
\(608\) | −12.0120 | + | 14.7909i | −0.487150 | + | 0.599849i | ||||
\(609\) | 15.0432 | + | 2.37730i | 0.609581 | + | 0.0963329i | ||||
\(610\) | −6.45964 | − | 27.6218i | −0.261543 | − | 1.11837i | ||||
\(611\) | −3.88245 | −0.157067 | ||||||||
\(612\) | 19.0144 | + | 17.4803i | 0.768612 | + | 0.706598i | ||||
\(613\) | 24.2075 | + | 24.2075i | 0.977730 | + | 0.977730i | 0.999757 | − | 0.0220274i | \(-0.00701212\pi\) |
−0.0220274 | + | 0.999757i | \(0.507012\pi\) | |||||||
\(614\) | −3.63425 | + | 5.22586i | −0.146667 | + | 0.210899i | ||||
\(615\) | 32.5240 | − | 26.3361i | 1.31149 | − | 1.06197i | ||||
\(616\) | 20.2614 | + | 5.22053i | 0.816356 | + | 0.210341i | ||||
\(617\) | 3.33572 | − | 3.33572i | 0.134291 | − | 0.134291i | −0.636766 | − | 0.771057i | \(-0.719728\pi\) |
0.771057 | + | 0.636766i | \(0.219728\pi\) | |||||||
\(618\) | −8.81073 | + | 0.185109i | −0.354419 | + | 0.00744619i | ||||
\(619\) | −46.6044 | −1.87319 | −0.936595 | − | 0.350413i | \(-0.886041\pi\) | ||||
−0.936595 | + | 0.350413i | \(0.886041\pi\) | |||||||
\(620\) | 26.6559 | − | 11.5055i | 1.07053 | − | 0.462072i | ||||
\(621\) | −24.1590 | − | 12.2782i | −0.969468 | − | 0.492707i | ||||
\(622\) | −1.72147 | − | 9.58304i | −0.0690247 | − | 0.384245i | ||||
\(623\) | −26.4110 | − | 26.4110i | −1.05814 | − | 1.05814i | ||||
\(624\) | 5.44711 | + | 8.80068i | 0.218059 | + | 0.352309i | ||||
\(625\) | 24.4613 | − | 5.16164i | 0.978454 | − | 0.206466i | ||||
\(626\) | 2.51266 | − | 3.61307i | 0.100426 | − | 0.144407i | ||||
\(627\) | 7.83524 | + | 10.7765i | 0.312909 | + | 0.430371i | ||||
\(628\) | 1.89156 | − | 4.12538i | 0.0754815 | − | 0.164620i | ||||
\(629\) | − | 14.0748i | − | 0.561201i | ||||||
\(630\) | −23.4700 | + | 19.8352i | −0.935067 | + | 0.790253i | ||||
\(631\) | −20.4082 | −0.812437 | −0.406219 | − | 0.913776i | \(-0.633153\pi\) | ||||
−0.406219 | + | 0.913776i | \(0.633153\pi\) | |||||||
\(632\) | 11.9165 | + | 20.1887i | 0.474013 | + | 0.803062i | ||||
\(633\) | −23.0733 | + | 16.7759i | −0.917082 | + | 0.666782i | ||||
\(634\) | −20.1441 | − | 14.0090i | −0.800025 | − | 0.556367i | ||||
\(635\) | −16.8291 | − | 15.1643i | −0.667843 | − | 0.601776i | ||||
\(636\) | 27.9919 | − | 5.63776i | 1.10995 | − | 0.223552i | ||||
\(637\) | −3.68872 | + | 3.68872i | −0.146152 | + | 0.146152i | ||||
\(638\) | −1.55016 | − | 8.62940i | −0.0613715 | − | 0.341641i | ||||
\(639\) | 21.0488 | + | 6.82314i | 0.832678 | + | 0.269919i | ||||
\(640\) | −6.86028 | + | 24.3503i | −0.271177 | + | 0.962530i | ||||
\(641\) | 13.1821i | 0.520663i | 0.965519 | + | 0.260331i | \(0.0838318\pi\) | ||||
−0.965519 | + | 0.260331i | \(0.916168\pi\) | |||||||
\(642\) | −0.374609 | − | 17.8304i | −0.0147846 | − | 0.703711i | ||||
\(643\) | −22.6851 | − | 22.6851i | −0.894614 | − | 0.894614i | 0.100339 | − | 0.994953i | \(-0.468007\pi\) |
−0.994953 | + | 0.100339i | \(0.968007\pi\) | |||||||
\(644\) | −11.7592 | − | 31.6743i | −0.463379 | − | 1.24814i | ||||
\(645\) | −0.666488 | + | 6.33969i | −0.0262429 | + | 0.249625i | ||||
\(646\) | −11.7076 | + | 16.8349i | −0.460630 | + | 0.662361i | ||||
\(647\) | 19.2111 | − | 19.2111i | 0.755268 | − | 0.755268i | −0.220189 | − | 0.975457i | \(-0.570668\pi\) |
0.975457 | + | 0.220189i | \(0.0706675\pi\) | |||||||
\(648\) | −25.3441 | − | 2.38212i | −0.995612 | − | 0.0935786i | ||||
\(649\) | 16.9299i | 0.664557i | ||||||||
\(650\) | 9.25162 | + | 5.09843i | 0.362879 | + | 0.199977i | ||||
\(651\) | −5.68528 | + | 35.9756i | −0.222824 | + | 1.41000i | ||||
\(652\) | 25.5029 | + | 11.6936i | 0.998772 | + | 0.457955i | ||||
\(653\) | −6.30369 | + | 6.30369i | −0.246683 | + | 0.246683i | −0.819608 | − | 0.572925i | \(-0.805809\pi\) |
0.572925 | + | 0.819608i | \(0.305809\pi\) | |||||||
\(654\) | −2.48460 | − | 2.38235i | −0.0971555 | − | 0.0931571i | ||||
\(655\) | 6.13772 | − | 0.319390i | 0.239821 | − | 0.0124796i | ||||
\(656\) | 28.2054 | + | 32.7508i | 1.10123 | + | 1.27871i | ||||
\(657\) | 3.53807 | + | 6.93204i | 0.138033 | + | 0.270444i | ||||
\(658\) | 11.7174 | − | 2.10488i | 0.456792 | − | 0.0820568i | ||||
\(659\) | 33.0388i | 1.28701i | 0.765442 | + | 0.643505i | \(0.222520\pi\) | ||||
−0.765442 | + | 0.643505i | \(0.777480\pi\) | |||||||
\(660\) | 15.2213 | + | 9.01396i | 0.592488 | + | 0.350868i | ||||
\(661\) | − | 1.50452i | − | 0.0585192i | −0.999572 | − | 0.0292596i | \(-0.990685\pi\) | ||
0.999572 | − | 0.0292596i | \(-0.00931495\pi\) | |||||||
\(662\) | 5.52857 | + | 30.7763i | 0.214874 | + | 1.19616i | ||||
\(663\) | 6.55017 | + | 9.00901i | 0.254388 | + | 0.349881i | ||||
\(664\) | −5.26891 | + | 20.4492i | −0.204474 | + | 0.793584i | ||||
\(665\) | −18.1240 | − | 16.3311i | −0.702820 | − | 0.633292i | ||||
\(666\) | 8.39138 | + | 11.0459i | 0.325159 | + | 0.428020i | ||||
\(667\) | −10.0111 | + | 10.0111i | −0.387630 | + | 0.387630i | ||||
\(668\) | 1.21411 | − | 2.64789i | 0.0469751 | − | 0.102450i | ||||
\(669\) | 10.7166 | + | 1.69356i | 0.414328 | + | 0.0654768i | ||||
\(670\) | −20.4384 | + | 32.9159i | −0.789605 | + | 1.27165i | ||||
\(671\) | − | 20.4865i | − | 0.790873i | ||||||
\(672\) | −21.2110 | − | 23.6077i | −0.818230 | − | 0.910687i | ||||
\(673\) | 29.5487 | − | 29.5487i | 1.13902 | − | 1.13902i | 0.150391 | − | 0.988627i | \(-0.451947\pi\) |
0.988627 | − | 0.150391i | \(-0.0480532\pi\) | |||||||
\(674\) | 3.34624 | + | 2.32710i | 0.128892 | + | 0.0896365i | ||||
\(675\) | −23.7315 | + | 10.5743i | −0.913426 | + | 0.407006i | ||||
\(676\) | −7.49565 | − | 20.1900i | −0.288294 | − | 0.776540i | ||||
\(677\) | −16.5034 | − | 16.5034i | −0.634278 | − | 0.634278i | 0.314860 | − | 0.949138i | \(-0.398042\pi\) |
−0.949138 | + | 0.314860i | \(0.898042\pi\) | |||||||
\(678\) | −0.966816 | − | 46.0180i | −0.0371303 | − | 1.76731i | ||||
\(679\) | 12.8102i | 0.491609i | ||||||||
\(680\) | −5.41377 | + | 26.6819i | −0.207609 | + | 1.02320i | ||||
\(681\) | 3.86680 | − | 24.4686i | 0.148176 | − | 0.937637i | ||||
\(682\) | 20.6371 | − | 3.70719i | 0.790236 | − | 0.141956i | ||||
\(683\) | 1.06473 | − | 1.06473i | 0.0407406 | − | 0.0407406i | −0.686443 | − | 0.727184i | \(-0.740829\pi\) |
0.727184 | + | 0.686443i | \(0.240829\pi\) | |||||||
\(684\) | −0.848826 | − | 20.1920i | −0.0324557 | − | 0.772062i | ||||
\(685\) | 21.5370 | − | 23.9015i | 0.822887 | − | 0.913229i | ||||
\(686\) | −9.17492 | + | 13.1930i | −0.350300 | + | 0.503712i | ||||
\(687\) | −15.0052 | − | 20.6379i | −0.572482 | − | 0.787384i | ||||
\(688\) | −6.56545 | − | 0.489584i | −0.250306 | − | 0.0186652i | ||||
\(689\) | 12.3139 | 0.469124 | ||||||||
\(690\) | −2.08337 | − | 28.4899i | −0.0793126 | − | 1.08459i | ||||
\(691\) | − | 16.7696i | − | 0.637945i | −0.947764 | − | 0.318972i | \(-0.896662\pi\) | ||
0.947764 | − | 0.318972i | \(-0.103338\pi\) | |||||||
\(692\) | 7.76043 | − | 16.9250i | 0.295007 | − | 0.643393i | ||||
\(693\) | −19.7666 | + | 10.0888i | −0.750872 | + | 0.383240i | ||||
\(694\) | 4.60967 | + | 3.20573i | 0.174981 | + | 0.121688i | ||||
\(695\) | −1.91387 | + | 0.0995927i | −0.0725973 | + | 0.00377776i | ||||
\(696\) | −5.28772 | + | 12.2024i | −0.200431 | + | 0.462531i | ||||
\(697\) | 32.8911 | + | 32.8911i | 1.24584 | + | 1.24584i | ||||
\(698\) | 51.3596 | − | 9.22610i | 1.94399 | − | 0.349213i | ||||
\(699\) | −2.26026 | + | 14.3026i | −0.0854908 | + | 0.540974i | ||||
\(700\) | −30.6860 | − | 10.3715i | −1.15982 | − | 0.392006i | ||||
\(701\) | −40.5328 | −1.53090 | −0.765451 | − | 0.643495i | \(-0.777484\pi\) | ||||
−0.765451 | + | 0.643495i | \(0.777484\pi\) | |||||||
\(702\) | −10.5117 | − | 3.16505i | −0.396739 | − | 0.119457i | ||||
\(703\) | −7.78743 | + | 7.78743i | −0.293709 | + | 0.293709i | ||||
\(704\) | −8.82884 | + | 15.9954i | −0.332749 | + | 0.602850i | ||||
\(705\) | 10.0102 | + | 1.05237i | 0.377006 | + | 0.0396345i | ||||
\(706\) | 3.28646 | + | 2.28553i | 0.123688 | + | 0.0860169i | ||||
\(707\) | 20.4820 | + | 20.4820i | 0.770306 | + | 0.770306i | ||||
\(708\) | 14.2157 | − | 21.3861i | 0.534257 | − | 0.803739i | ||||
\(709\) | −22.2655 | −0.836199 | −0.418099 | − | 0.908401i | \(-0.637304\pi\) | ||||
−0.418099 | + | 0.908401i | \(0.637304\pi\) | |||||||
\(710\) | 5.31126 | + | 22.7112i | 0.199328 | + | 0.852337i | ||||
\(711\) | −23.6536 | − | 7.66751i | −0.887079 | − | 0.287554i | ||||
\(712\) | 28.0871 | − | 16.5786i | 1.05261 | − | 0.621310i | ||||
\(713\) | −23.9414 | − | 23.9414i | −0.896611 | − | 0.896611i | ||||
\(714\) | −24.6530 | − | 23.6384i | −0.922615 | − | 0.884645i | ||||
\(715\) | 5.66747 | + | 5.10681i | 0.211951 | + | 0.190984i | ||||
\(716\) | 6.35165 | + | 17.1086i | 0.237372 | + | 0.639378i | ||||
\(717\) | −24.9329 | − | 34.2924i | −0.931137 | − | 1.28067i | ||||
\(718\) | 18.0373 | − | 3.24017i | 0.673146 | − | 0.120922i | ||||
\(719\) | −36.9961 | −1.37972 | −0.689861 | − | 0.723942i | \(-0.742328\pi\) | ||||
−0.689861 | + | 0.723942i | \(0.742328\pi\) | |||||||
\(720\) | −11.6589 | − | 24.1675i | −0.434503 | − | 0.900670i | ||||
\(721\) | 11.6536 | 0.434003 | ||||||||
\(722\) | −10.6545 | + | 1.91395i | −0.396520 | + | 0.0712297i | ||||
\(723\) | 7.33405 | + | 10.0872i | 0.272756 | + | 0.375145i | ||||
\(724\) | −2.04735 | − | 5.51468i | −0.0760892 | − | 0.204952i | ||||
\(725\) | 1.40879 | + | 13.4997i | 0.0523213 | + | 0.501368i | ||||
\(726\) | −10.2270 | − | 9.80613i | −0.379560 | − | 0.363940i | ||||
\(727\) | −25.8439 | − | 25.8439i | −0.958497 | − | 0.958497i | 0.0406756 | − | 0.999172i | \(-0.487049\pi\) |
−0.999172 | + | 0.0406756i | \(0.987049\pi\) | |||||||
\(728\) | −6.95705 | − | 11.7865i | −0.257846 | − | 0.436836i | ||||
\(729\) | 21.8106 | − | 15.9153i | 0.807800 | − | 0.589456i | ||||
\(730\) | −4.32754 | + | 6.96947i | −0.160170 | + | 0.257952i | ||||
\(731\) | −7.08525 | −0.262058 | ||||||||
\(732\) | −17.2021 | + | 25.8789i | −0.635807 | + | 0.956510i | ||||
\(733\) | −37.3652 | − | 37.3652i | −1.38012 | − | 1.38012i | −0.844397 | − | 0.535719i | \(-0.820041\pi\) |
−0.535719 | − | 0.844397i | \(-0.679959\pi\) | |||||||
\(734\) | 33.4345 | + | 23.2515i | 1.23409 | + | 0.858230i | ||||
\(735\) | 10.5106 | − | 8.51086i | 0.387688 | − | 0.313928i | ||||
\(736\) | 29.3455 | − | 3.04250i | 1.08169 | − | 0.112148i | ||||
\(737\) | −19.7859 | + | 19.7859i | −0.728824 | + | 0.728824i | ||||
\(738\) | −45.4225 | − | 6.20327i | −1.67202 | − | 0.228345i | ||||
\(739\) | 1.28705 | 0.0473450 | 0.0236725 | − | 0.999720i | \(-0.492464\pi\) | ||||
0.0236725 | + | 0.999720i | \(0.492464\pi\) | |||||||
\(740\) | −5.39547 | + | 13.5903i | −0.198341 | + | 0.499590i | ||||
\(741\) | 1.36044 | − | 8.60870i | 0.0499772 | − | 0.316248i | ||||
\(742\) | −37.1641 | + | 6.67605i | −1.36434 | + | 0.245085i | ||||
\(743\) | 7.11771 | + | 7.11771i | 0.261123 | + | 0.261123i | 0.825510 | − | 0.564387i | \(-0.190887\pi\) |
−0.564387 | + | 0.825510i | \(0.690887\pi\) | |||||||
\(744\) | −29.1819 | − | 12.6455i | −1.06986 | − | 0.463607i | ||||
\(745\) | 0.910802 | + | 17.5029i | 0.0333692 | + | 0.641256i | ||||
\(746\) | −16.7095 | − | 11.6204i | −0.611777 | − | 0.425452i | ||||
\(747\) | −10.1823 | − | 19.9498i | −0.372549 | − | 0.729925i | ||||
\(748\) | −8.19506 | + | 17.8729i | −0.299641 | + | 0.653499i | ||||
\(749\) | 23.5836i | 0.861727i | ||||||||
\(750\) | −22.4717 | − | 15.6531i | −0.820552 | − | 0.571572i | ||||
\(751\) | −24.0090 | −0.876102 | −0.438051 | − | 0.898950i | \(-0.644331\pi\) | ||||
−0.438051 | + | 0.898950i | \(0.644331\pi\) | |||||||
\(752\) | −0.773042 | + | 10.3667i | −0.0281899 | + | 0.378034i | ||||
\(753\) | 17.9009 | + | 24.6207i | 0.652346 | + | 0.897227i | ||||
\(754\) | −3.27445 | + | 4.70848i | −0.119248 | + | 0.171473i | ||||
\(755\) | −13.3116 | + | 0.692702i | −0.484460 | + | 0.0252100i | ||||
\(756\) | 33.4408 | + | 3.85332i | 1.21623 | + | 0.140144i | ||||
\(757\) | −5.24365 | + | 5.24365i | −0.190584 | + | 0.190584i | −0.795948 | − | 0.605365i | \(-0.793027\pi\) |
0.605365 | + | 0.795948i | \(0.293027\pi\) | |||||||
\(758\) | 18.1594 | − | 3.26210i | 0.659579 | − | 0.118485i | ||||
\(759\) | 3.22025 | − | 20.3773i | 0.116888 | − | 0.739649i | ||||
\(760\) | 17.7581 | − | 11.7674i | 0.644154 | − | 0.426847i | ||||
\(761\) | − | 41.1375i | − | 1.49123i | −0.666376 | − | 0.745616i | \(-0.732155\pi\) | ||
0.666376 | − | 0.745616i | \(-0.267845\pi\) | |||||||
\(762\) | 0.521247 | + | 24.8100i | 0.0188828 | + | 0.898772i | ||||
\(763\) | 3.21866 | + | 3.21866i | 0.116523 | + | 0.116523i | ||||
\(764\) | 1.34510 | + | 3.62311i | 0.0486639 | + | 0.131080i | ||||
\(765\) | −14.4465 | − | 25.0036i | −0.522315 | − | 0.904009i | ||||
\(766\) | 18.2421 | + | 12.6862i | 0.659115 | + | 0.458372i | ||||
\(767\) | 7.83080 | − | 7.83080i | 0.282754 | − | 0.282754i | ||||
\(768\) | 24.5837 | − | 12.7923i | 0.887088 | − | 0.461601i | ||||
\(769\) | 43.5085i | 1.56896i | 0.620156 | + | 0.784478i | \(0.287069\pi\) | ||||
−0.620156 | + | 0.784478i | \(0.712931\pi\) | |||||||
\(770\) | −19.8734 | − | 12.3399i | −0.716186 | − | 0.444700i | ||||
\(771\) | 4.24865 | + | 0.671420i | 0.153012 | + | 0.0241806i | ||||
\(772\) | −7.15902 | + | 15.6134i | −0.257659 | + | 0.561938i | ||||
\(773\) | 34.3280 | − | 34.3280i | 1.23469 | − | 1.23469i | 0.272551 | − | 0.962141i | \(-0.412133\pi\) |
0.962141 | − | 0.272551i | \(-0.0878672\pi\) | |||||||
\(774\) | 5.56049 | − | 4.22421i | 0.199868 | − | 0.151836i | ||||
\(775\) | −32.2845 | + | 3.36912i | −1.15969 | + | 0.121022i | ||||
\(776\) | −10.8321 | − | 2.79099i | −0.388850 | − | 0.100191i | ||||
\(777\) | −10.7872 | − | 14.8366i | −0.386990 | − | 0.532260i | ||||
\(778\) | 3.55501 | + | 19.7900i | 0.127453 | + | 0.709505i | ||||
\(779\) | − | 36.3965i | − | 1.30404i | ||||||
\(780\) | −2.87116 | − | 11.2098i | −0.102804 | − | 0.401376i | ||||
\(781\) | 16.8445i | 0.602742i | ||||||||
\(782\) | 31.2502 | − | 5.61370i | 1.11751 | − | 0.200746i | ||||
\(783\) | −4.37271 | − | 13.4106i | −0.156268 | − | 0.479257i | ||||
\(784\) | 9.11494 | + | 10.5839i | 0.325534 | + | 0.377996i | ||||
\(785\) | −3.39659 | + | 3.76950i | −0.121230 | + | 0.134539i | ||||
\(786\) | −4.85964 | − | 4.65964i | −0.173338 | − | 0.166204i | ||||
\(787\) | 7.25839 | − | 7.25839i | 0.258734 | − | 0.258734i | −0.565805 | − | 0.824539i | \(-0.691435\pi\) |
0.824539 | + | 0.565805i | \(0.191435\pi\) | |||||||
\(788\) | 34.5401 | + | 15.8373i | 1.23044 | + | 0.564180i | ||||
\(789\) | −4.84370 | + | 30.6503i | −0.172440 | + | 1.09118i | ||||
\(790\) | −5.96853 | − | 25.5217i | −0.212351 | − | 0.908022i | ||||
\(791\) | 60.8662i | 2.16415i | ||||||||
\(792\) | −4.22432 | − | 18.9125i | −0.150105 | − | 0.672026i | ||||
\(793\) | −9.47588 | + | 9.47588i | −0.336499 | + | 0.336499i | ||||
\(794\) | −27.7806 | + | 39.9470i | −0.985896 | + | 1.41766i | ||||
\(795\) | −31.7494 | − | 3.33780i | −1.12603 | − | 0.118379i | ||||
\(796\) | −12.8693 | − | 34.6642i | −0.456139 | − | 1.22864i | ||||
\(797\) | 8.85790 | + | 8.85790i | 0.313763 | + | 0.313763i | 0.846366 | − | 0.532602i | \(-0.178786\pi\) |
−0.532602 | + | 0.846366i | \(0.678786\pi\) | |||||||
\(798\) | 0.561354 | + | 26.7190i | 0.0198717 | + | 0.945843i | ||||
\(799\) | 11.1874i | 0.395783i | ||||||||
\(800\) | 15.4557 | − | 23.6880i | 0.546440 | − | 0.837498i | ||||
\(801\) | −10.6673 | + | 32.9077i | −0.376910 | + | 1.16273i | ||||
\(802\) | 5.33074 | + | 29.6750i | 0.188235 | + | 1.04786i | ||||
\(803\) | −4.18939 | + | 4.18939i | −0.147840 | + | 0.147840i | ||||
\(804\) | 41.6076 | − | 8.38006i | 1.46739 | − | 0.295542i | ||||
\(805\) | 1.96304 | + | 37.7237i | 0.0691880 | + | 1.32959i | ||||
\(806\) | −11.2603 | − | 7.83080i | −0.396626 | − | 0.275828i | ||||
\(807\) | 11.8497 | − | 8.61553i | 0.417128 | − | 0.303281i | ||||
\(808\) | −21.7818 | + | 12.8569i | −0.766283 | + | 0.452304i | ||||
\(809\) | 2.43744 | 0.0856959 | 0.0428480 | − | 0.999082i | \(-0.486357\pi\) | ||||
0.0428480 | + | 0.999082i | \(0.486357\pi\) | |||||||
\(810\) | 26.2447 | + | 11.0098i | 0.922144 | + | 0.386846i | ||||
\(811\) | 1.17131i | 0.0411302i | 0.999789 | + | 0.0205651i | \(0.00654654\pi\) | ||||
−0.999789 | + | 0.0205651i | \(0.993453\pi\) | |||||||
\(812\) | 7.32971 | − | 15.9857i | 0.257223 | − | 0.560987i | ||||
\(813\) | −2.77423 | − | 3.81564i | −0.0972967 | − | 0.133820i | ||||
\(814\) | −6.02921 | + | 8.66968i | −0.211324 | + | 0.303872i | ||||
\(815\) | −23.3029 | − | 20.9976i | −0.816264 | − | 0.735514i | ||||
\(816\) | 25.3596 | − | 15.6961i | 0.887763 | − | 0.549474i | ||||
\(817\) | 3.92018 | + | 3.92018i | 0.137150 | + | 0.137150i | ||||
\(818\) | 0.224792 | + | 1.25136i | 0.00785965 | + | 0.0437529i | ||||
\(819\) | 13.8094 | + | 4.47642i | 0.482539 | + | 0.156419i | ||||
\(820\) | −19.1503 | − | 44.3674i | −0.668758 | − | 1.54938i | ||||
\(821\) | −43.2743 | −1.51028 | −0.755142 | − | 0.655562i | \(-0.772432\pi\) | ||||
−0.755142 | + | 0.655562i | \(0.772432\pi\) | |||||||
\(822\) | −35.2364 | + | 0.740300i | −1.22901 | + | 0.0258209i | ||||
\(823\) | 33.8787 | − | 33.8787i | 1.18094 | − | 1.18094i | 0.201437 | − | 0.979501i | \(-0.435439\pi\) |
0.979501 | − | 0.201437i | \(-0.0645611\pi\) | |||||||
\(824\) | −2.53901 | + | 9.85415i | −0.0884505 | + | 0.343286i | ||||
\(825\) | −13.2283 | − | 14.7032i | −0.460552 | − | 0.511901i | ||||
\(826\) | −19.3882 | + | 27.8792i | −0.674603 | + | 0.970042i | ||||
\(827\) | −10.2673 | − | 10.2673i | −0.357030 | − | 0.357030i | 0.505687 | − | 0.862717i | \(-0.331239\pi\) |
−0.862717 | + | 0.505687i | \(0.831239\pi\) | |||||||
\(828\) | −21.1782 | + | 23.0369i | −0.735994 | + | 0.800588i | ||||
\(829\) | 31.4237 | 1.09139 | 0.545695 | − | 0.837984i | \(-0.316266\pi\) | ||||
0.545695 | + | 0.837984i | \(0.316266\pi\) | |||||||
\(830\) | 12.4543 | − | 20.0575i | 0.432295 | − | 0.696208i | ||||
\(831\) | 44.6368 | + | 7.05400i | 1.54843 | + | 0.244701i | ||||
\(832\) | 11.4823 | − | 3.31485i | 0.398076 | − | 0.114922i | ||||
\(833\) | 10.6292 | + | 10.6292i | 0.368280 | + | 0.368280i | ||||
\(834\) | 1.51534 | + | 1.45298i | 0.0524719 | + | 0.0503124i | ||||
\(835\) | −2.18011 | + | 2.41946i | −0.0754460 | + | 0.0837290i | ||||
\(836\) | 14.4231 | − | 5.35464i | 0.498833 | − | 0.185194i | ||||
\(837\) | 32.0714 | − | 10.4573i | 1.10855 | − | 0.361457i | ||||
\(838\) | 7.94419 | + | 44.2235i | 0.274428 | + | 1.52768i | ||||
\(839\) | −2.39839 | −0.0828015 | −0.0414007 | − | 0.999143i | \(-0.513182\pi\) | ||||
−0.0414007 | + | 0.999143i | \(0.513182\pi\) | |||||||
\(840\) | 14.7427 | + | 32.2752i | 0.508673 | + | 1.11360i | ||||
\(841\) | 21.6309 | 0.745893 | ||||||||
\(842\) | −5.33774 | − | 29.7140i | −0.183951 | − | 1.02401i | ||||
\(843\) | −29.5224 | + | 21.4649i | −1.01681 | + | 0.739289i | ||||
\(844\) | 11.4647 | + | 30.8810i | 0.394632 | + | 1.06297i | ||||
\(845\) | 1.25129 | + | 24.0460i | 0.0430457 | + | 0.827209i | ||||
\(846\) | −6.66993 | − | 8.77988i | −0.229317 | − | 0.301858i | ||||
\(847\) | 13.2485 | + | 13.2485i | 0.455225 | + | 0.455225i | ||||
\(848\) | 2.45186 | − | 32.8800i | 0.0841971 | − | 1.12911i | ||||
\(849\) | −1.00729 | + | 6.37397i | −0.0345700 | + | 0.218754i | ||||
\(850\) | 14.6914 | − | 26.6590i | 0.503910 | − | 0.914396i | ||||
\(851\) | 17.0524 | 0.584548 | ||||||||
\(852\) | 14.1439 | − | 21.2782i | 0.484562 | − | 0.728978i | ||||
\(853\) | 21.9385 | + | 21.9385i | 0.751159 | + | 0.751159i | 0.974695 | − | 0.223537i | \(-0.0717603\pi\) |
−0.223537 | + | 0.974695i | \(0.571760\pi\) | |||||||
\(854\) | 23.4613 | − | 33.7360i | 0.802828 | − | 1.15442i | ||||
\(855\) | −5.84113 | + | 21.8273i | −0.199762 | + | 0.746477i | ||||
\(856\) | −19.9420 | − | 5.13824i | −0.681605 | − | 0.175621i | ||||
\(857\) | 30.2305 | − | 30.2305i | 1.03265 | − | 1.03265i | 0.0332059 | − | 0.999449i | \(-0.489428\pi\) |
0.999449 | − | 0.0332059i | \(-0.0105717\pi\) | |||||||
\(858\) | −0.175538 | − | 8.35517i | −0.00599277 | − | 0.285241i | ||||
\(859\) | 45.9867 | 1.56905 | 0.784523 | − | 0.620099i | \(-0.212908\pi\) | ||||
0.784523 | + | 0.620099i | \(0.212908\pi\) | |||||||
\(860\) | 6.84135 | + | 2.71607i | 0.233288 | + | 0.0926173i | ||||
\(861\) | 59.8797 | + | 9.46286i | 2.04069 | + | 0.322494i | ||||
\(862\) | −1.48139 | − | 8.24654i | −0.0504562 | − | 0.280878i | ||||
\(863\) | 12.2703 | + | 12.2703i | 0.417687 | + | 0.417687i | 0.884406 | − | 0.466719i | \(-0.154564\pi\) |
−0.466719 | + | 0.884406i | \(0.654564\pi\) | |||||||
\(864\) | −10.5442 | + | 27.4376i | −0.358720 | + | 0.933445i | ||||
\(865\) | −13.9351 | + | 15.4650i | −0.473806 | + | 0.525824i | ||||
\(866\) | −22.5870 | + | 32.4789i | −0.767539 | + | 1.10368i | ||||
\(867\) | 2.14445 | − | 1.55916i | 0.0728294 | − | 0.0529520i | ||||
\(868\) | 38.2295 | + | 17.5289i | 1.29759 | + | 0.594971i | ||||
\(869\) | − | 18.9290i | − | 0.642121i | ||||||
\(870\) | 9.71887 | − | 11.2524i | 0.329500 | − | 0.381493i | ||||
\(871\) | 18.3037 | 0.620196 | ||||||||
\(872\) | −3.42292 | + | 2.02040i | −0.115915 | + | 0.0684195i | ||||
\(873\) | 10.5676 | − | 5.39363i | 0.357658 | − | 0.182547i | ||||
\(874\) | −20.3963 | − | 14.1844i | −0.689917 | − | 0.479793i | ||||
\(875\) | 29.2746 | + | 21.3189i | 0.989662 | + | 0.720709i | ||||
\(876\) | 8.80983 | − | 1.77436i | 0.297656 | − | 0.0599501i | ||||
\(877\) | −23.5029 | + | 23.5029i | −0.793638 | + | 0.793638i | −0.982084 | − | 0.188446i | \(-0.939655\pi\) |
0.188446 | + | 0.982084i | \(0.439655\pi\) | |||||||
\(878\) | 4.05931 | + | 22.5972i | 0.136995 | + | 0.762620i | ||||
\(879\) | −41.4841 | − | 6.55579i | −1.39922 | − | 0.221121i | ||||
\(880\) | 14.7644 | − | 14.1161i | 0.497707 | − | 0.475855i | ||||
\(881\) | 22.0210i | 0.741907i | 0.928652 | + | 0.370953i | \(0.120969\pi\) | ||||
−0.928652 | + | 0.370953i | \(0.879031\pi\) | |||||||
\(882\) | −14.6789 | − | 2.00467i | −0.494264 | − | 0.0675008i | ||||
\(883\) | −3.98395 | − | 3.98395i | −0.134070 | − | 0.134070i | 0.636887 | − | 0.770957i | \(-0.280222\pi\) |
−0.770957 | + | 0.636887i | \(0.780222\pi\) | |||||||
\(884\) | 12.0575 | − | 4.47642i | 0.405539 | − | 0.150558i | ||||
\(885\) | −22.3130 | + | 18.0678i | −0.750042 | + | 0.607341i | ||||
\(886\) | 32.6322 | − | 46.9234i | 1.09630 | − | 1.57642i | ||||
\(887\) | 10.9002 | − | 10.9002i | 0.365994 | − | 0.365994i | −0.500020 | − | 0.866014i | \(-0.666674\pi\) |
0.866014 | + | 0.500020i | \(0.166674\pi\) | |||||||
\(888\) | 14.8959 | − | 5.88907i | 0.499874 | − | 0.197624i | ||||
\(889\) | − | 32.8152i | − | 1.10059i | ||||||
\(890\) | −35.5066 | + | 8.30361i | −1.19019 | + | 0.278337i | ||||
\(891\) | 16.6452 | + | 12.0584i | 0.557635 | + | 0.403972i | ||||
\(892\) | 5.22161 | − | 11.3880i | 0.174832 | − | 0.381299i | ||||
\(893\) | 6.18988 | − | 6.18988i | 0.207136 | − | 0.207136i | ||||
\(894\) | 13.2879 | − | 13.8582i | 0.444413 | − | 0.463487i | ||||
\(895\) | −1.06032 | − | 20.3761i | −0.0354425 | − | 0.681098i | ||||
\(896\) | −32.8569 | + | 16.2295i | −1.09767 | + | 0.542190i | ||||
\(897\) | −10.9149 | + | 7.93586i | −0.364437 | + | 0.264971i | ||||
\(898\) | 3.91182 | − | 0.702708i | 0.130539 | − | 0.0234497i | ||||
\(899\) | − | 17.6232i | − | 0.587765i | ||||||
\(900\) | 4.36427 | + | 29.6809i | 0.145476 | + | 0.989362i | ||||
\(901\) | − | 35.4832i | − | 1.18212i | ||||||
\(902\) | −6.17044 | − | 34.3495i | −0.205453 | − | 1.14371i | ||||
\(903\) | −7.46873 | + | 5.43028i | −0.248544 | + | 0.180708i | ||||
\(904\) | −51.4677 | − | 13.2611i | −1.71179 | − | 0.441057i | ||||
\(905\) | 0.341776 | + | 6.56791i | 0.0113610 | + | 0.218325i | ||||
\(906\) | 10.5397 | + | 10.1060i | 0.350158 | + | 0.335748i | ||||
\(907\) | 0.400640 | − | 0.400640i | 0.0133030 | − | 0.0133030i | −0.700424 | − | 0.713727i | \(-0.747006\pi\) |
0.713727 | + | 0.700424i | \(0.247006\pi\) | |||||||
\(908\) | −26.0015 | − | 11.9222i | −0.862891 | − | 0.395651i | ||||
\(909\) | 8.27258 | − | 25.5202i | 0.274384 | − | 0.846452i | ||||
\(910\) | 3.48453 | + | 14.9000i | 0.115511 | + | 0.493931i | ||||
\(911\) | 17.8858i | 0.592583i | 0.955098 | + | 0.296291i | \(0.0957499\pi\) | ||||
−0.955098 | + | 0.296291i | \(0.904250\pi\) | |||||||
\(912\) | −22.7156 | − | 5.34668i | −0.752189 | − | 0.177046i | ||||
\(913\) | 12.0567 | − | 12.0567i | 0.399019 | − | 0.399019i | ||||
\(914\) | −47.7926 | − | 33.2367i | −1.58084 | − | 1.09937i | ||||
\(915\) | 27.0004 | − | 21.8634i | 0.892607 | − | 0.722782i | ||||
\(916\) | −27.6215 | + | 10.2546i | −0.912638 | + | 0.338821i | ||||
\(917\) | 6.29539 | + | 6.29539i | 0.207892 | + | 0.207892i | ||||
\(918\) | −9.12025 | + | 30.2900i | −0.301013 | + | 0.999718i | ||||
\(919\) | 26.4904i | 0.873838i | 0.899501 | + | 0.436919i | \(0.143930\pi\) | ||||
−0.899501 | + | 0.436919i | \(0.856070\pi\) | |||||||
\(920\) | −32.3264 | − | 6.55905i | −1.06577 | − | 0.216246i | ||||
\(921\) | −7.70035 | − | 1.21690i | −0.253735 | − | 0.0400981i | ||||
\(922\) | 38.4307 | − | 6.90359i | 1.26565 | − | 0.227358i | ||||
\(923\) | 7.79128 | − | 7.79128i | 0.256453 | − | 0.256453i | ||||
\(924\) | 5.05956 | + | 25.1211i | 0.166447 | + | 0.826424i | ||||
\(925\) | 10.2976 | − | 12.6972i | 0.338582 | − | 0.417483i | ||||
\(926\) | 17.1372 | − | 24.6424i | 0.563164 | − | 0.809799i | ||||
\(927\) | −4.90667 | − | 9.61350i | −0.161156 | − | 0.315749i | ||||
\(928\) | 11.9203 | + | 9.68077i | 0.391304 | + | 0.317787i | ||||
\(929\) | −1.35917 | −0.0445930 | −0.0222965 | − | 0.999751i | \(-0.507098\pi\) | ||||
−0.0222965 | + | 0.999751i | \(0.507098\pi\) | |||||||
\(930\) | 26.9100 | + | 23.2426i | 0.882415 | + | 0.762153i | ||||
\(931\) | − | 11.7620i | − | 0.385485i | ||||||
\(932\) | 15.1987 | + | 6.96886i | 0.497849 | + | 0.228273i | ||||
\(933\) | 9.64483 | − | 7.01246i | 0.315757 | − | 0.229578i | ||||
\(934\) | 22.5717 | + | 15.6972i | 0.738568 | + | 0.513627i | ||||
\(935\) | 14.7155 | − | 16.3311i | 0.481248 | − | 0.534083i | ||||
\(936\) | −6.79390 | + | 10.7018i | −0.222065 | + | 0.349798i | ||||
\(937\) | −23.4121 | − | 23.4121i | −0.764841 | − | 0.764841i | 0.212352 | − | 0.977193i | \(-0.431888\pi\) |
−0.977193 | + | 0.212352i | \(0.931888\pi\) | |||||||
\(938\) | −55.2413 | + | 9.92339i | −1.80369 | + | 0.324010i | ||||
\(939\) | 5.32388 | + | 0.841340i | 0.173738 | + | 0.0274561i | ||||
\(940\) | 4.28861 | − | 10.8023i | 0.139879 | − | 0.352333i | ||||
\(941\) | 24.1656 | 0.787776 | 0.393888 | − | 0.919159i | \(-0.371130\pi\) | ||||
0.393888 | + | 0.919159i | \(0.371130\pi\) | |||||||
\(942\) | 5.55711 | − | 0.116752i | 0.181060 | − | 0.00380400i | ||||
\(943\) | −39.8492 | + | 39.8492i | −1.29767 | + | 1.29767i | ||||
\(944\) | −19.3502 | − | 22.4686i | −0.629795 | − | 0.731290i | ||||
\(945\) | −34.3917 | − | 15.2848i | −1.11876 | − | 0.497215i | ||||
\(946\) | 4.36431 | + | 3.03510i | 0.141896 | + | 0.0986795i | ||||
\(947\) | −19.2733 | − | 19.2733i | −0.626298 | − | 0.626298i | 0.320837 | − | 0.947135i | \(-0.396036\pi\) |
−0.947135 | + | 0.320837i | \(0.896036\pi\) | |||||||
\(948\) | −15.8942 | + | 23.9113i | −0.516220 | + | 0.776604i | ||||
\(949\) | 3.87554 | 0.125805 | ||||||||
\(950\) | −22.8786 | + | 6.62153i | −0.742281 | + | 0.214831i | ||||
\(951\) | 4.69076 | − | 29.6825i | 0.152108 | − | 0.962521i | ||||
\(952\) | −33.9633 | + | 20.0471i | −1.10076 | + | 0.649730i | ||||
\(953\) | 0.681413 | + | 0.681413i | 0.0220731 | + | 0.0220731i | 0.718057 | − | 0.695984i | \(-0.245032\pi\) |
−0.695984 | + | 0.718057i | \(0.745032\pi\) | |||||||
\(954\) | 21.1550 | + | 27.8471i | 0.684918 | + | 0.901584i | ||||
\(955\) | −0.224545 | − | 4.31508i | −0.00726610 | − | 0.139633i | ||||
\(956\) | −45.8965 | + | 17.0393i | −1.48440 | + | 0.551090i | ||||
\(957\) | 8.68504 | − | 6.31462i | 0.280747 | − | 0.204123i | ||||
\(958\) | 52.5857 | − | 9.44635i | 1.69897 | − | 0.305198i | ||||
\(959\) | 46.6058 | 1.50498 | ||||||||
\(960\) | −30.5036 | + | 5.43440i | −0.984498 | + | 0.175394i | ||||
\(961\) | 11.1456 | 0.359534 | ||||||||
\(962\) | 6.79886 | − | 1.22133i | 0.219204 | − | 0.0393772i | ||||
\(963\) | 19.4550 | − | 9.92972i | 0.626929 | − | 0.319981i | ||||
\(964\) | 13.5005 | − | 5.01213i | 0.434822 | − | 0.161430i | ||||
\(965\) | 12.8551 | − | 14.2665i | 0.413822 | − | 0.459254i | ||||
\(966\) | 28.6391 | − | 29.8683i | 0.921448 | − | 0.960998i | ||||
\(967\) | 25.1663 | + | 25.1663i | 0.809294 | + | 0.809294i | 0.984527 | − | 0.175233i | \(-0.0560679\pi\) |
−0.175233 | + | 0.984527i | \(0.556068\pi\) | |||||||
\(968\) | −14.0893 | + | 8.31631i | −0.452847 | + | 0.267296i | ||||
\(969\) | −24.8064 | − | 3.92018i | −0.796896 | − | 0.125934i | ||||
\(970\) | 10.6246 | + | 6.59715i | 0.341137 | + | 0.211822i | ||||
\(971\) | 33.6303 | 1.07925 | 0.539623 | − | 0.841907i | \(-0.318567\pi\) | ||||
0.539623 | + | 0.841907i | \(0.318567\pi\) | |||||||
\(972\) | −10.9013 | − | 29.2089i | −0.349658 | − | 0.936877i | ||||
\(973\) | −1.96304 | − | 1.96304i | −0.0629321 | − | 0.0629321i | ||||
\(974\) | −27.2644 | − | 18.9607i | −0.873609 | − | 0.607540i | ||||
\(975\) | −0.682195 | + | 12.9195i | −0.0218477 | + | 0.413756i | ||||
\(976\) | 23.4152 | + | 27.1888i | 0.749503 | + | 0.870291i | ||||
\(977\) | 7.94992 | − | 7.94992i | 0.254341 | − | 0.254341i | −0.568407 | − | 0.822748i | \(-0.692440\pi\) |
0.822748 | + | 0.568407i | \(0.192440\pi\) | |||||||
\(978\) | 0.721759 | + | 34.3539i | 0.0230793 | + | 1.09852i | ||||
\(979\) | −26.3346 | −0.841657 | ||||||||
\(980\) | −6.18869 | − | 14.3379i | −0.197690 | − | 0.458008i | ||||
\(981\) | 1.30000 | − | 4.01039i | 0.0415058 | − | 0.128042i | ||||
\(982\) | −8.79505 | + | 1.57992i | −0.280661 | + | 0.0504172i | ||||
\(983\) | 13.3438 | + | 13.3438i | 0.425602 | + | 0.425602i | 0.887127 | − | 0.461525i | \(-0.152698\pi\) |
−0.461525 | + | 0.887127i | \(0.652698\pi\) | |||||||
\(984\) | −21.0479 | + | 48.5719i | −0.670981 | + | 1.54841i | ||||
\(985\) | −31.5605 | − | 28.4383i | −1.00560 | − | 0.906119i | ||||
\(986\) | 13.5677 | + | 9.43547i | 0.432084 | + | 0.300487i | ||||
\(987\) | 8.57429 | + | 11.7929i | 0.272923 | + | 0.375374i | ||||
\(988\) | −9.14803 | − | 4.19454i | −0.291038 | − | 0.133446i | ||||
\(989\) | − | 8.58414i | − | 0.272960i | ||||||
\(990\) | −1.81214 | + | 21.5899i | −0.0575936 | + | 0.686173i | ||||
\(991\) | 15.8549 | 0.503648 | 0.251824 | − | 0.967773i | \(-0.418970\pi\) | ||||
0.251824 | + | 0.967773i | \(0.418970\pi\) | |||||||
\(992\) | −23.1514 | + | 28.5074i | −0.735059 | + | 0.905109i | ||||
\(993\) | −30.9747 | + | 22.5208i | −0.982954 | + | 0.714675i | ||||
\(994\) | −19.2904 | + | 27.7385i | −0.611854 | + | 0.879812i | ||||
\(995\) | 2.14834 | + | 41.2846i | 0.0681069 | + | 1.30881i | ||||
\(996\) | −25.3539 | + | 5.10646i | −0.803370 | + | 0.161804i | ||||
\(997\) | −1.32422 | + | 1.32422i | −0.0419385 | + | 0.0419385i | −0.727765 | − | 0.685827i | \(-0.759441\pi\) |
0.685827 | + | 0.727765i | \(0.259441\pi\) | |||||||
\(998\) | 41.1626 | − | 7.39433i | 1.30298 | − | 0.234063i | ||||
\(999\) | −7.69739 | + | 15.1457i | −0.243535 | + | 0.479187i |
(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 | 120.2.w.c.77.15 | yes | 32 | |
3.2 | odd | 2 | inner | 120.2.w.c.77.2 | yes | 32 | |
4.3 | odd | 2 | 480.2.bi.c.17.5 | 32 | |||
5.2 | odd | 4 | 600.2.w.j.293.10 | 32 | |||
5.3 | odd | 4 | inner | 120.2.w.c.53.7 | yes | 32 | |
5.4 | even | 2 | 600.2.w.j.557.2 | 32 | |||
8.3 | odd | 2 | 480.2.bi.c.17.12 | 32 | |||
8.5 | even | 2 | inner | 120.2.w.c.77.10 | yes | 32 | |
12.11 | even | 2 | 480.2.bi.c.17.4 | 32 | |||
15.2 | even | 4 | 600.2.w.j.293.7 | 32 | |||
15.8 | even | 4 | inner | 120.2.w.c.53.10 | yes | 32 | |
15.14 | odd | 2 | 600.2.w.j.557.15 | 32 | |||
20.3 | even | 4 | 480.2.bi.c.113.13 | 32 | |||
24.5 | odd | 2 | inner | 120.2.w.c.77.7 | yes | 32 | |
24.11 | even | 2 | 480.2.bi.c.17.13 | 32 | |||
40.3 | even | 4 | 480.2.bi.c.113.4 | 32 | |||
40.13 | odd | 4 | inner | 120.2.w.c.53.2 | ✓ | 32 | |
40.29 | even | 2 | 600.2.w.j.557.7 | 32 | |||
40.37 | odd | 4 | 600.2.w.j.293.15 | 32 | |||
60.23 | odd | 4 | 480.2.bi.c.113.12 | 32 | |||
120.29 | odd | 2 | 600.2.w.j.557.10 | 32 | |||
120.53 | even | 4 | inner | 120.2.w.c.53.15 | yes | 32 | |
120.77 | even | 4 | 600.2.w.j.293.2 | 32 | |||
120.83 | odd | 4 | 480.2.bi.c.113.5 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
120.2.w.c.53.2 | ✓ | 32 | 40.13 | odd | 4 | inner | |
120.2.w.c.53.7 | yes | 32 | 5.3 | odd | 4 | inner | |
120.2.w.c.53.10 | yes | 32 | 15.8 | even | 4 | inner | |
120.2.w.c.53.15 | yes | 32 | 120.53 | even | 4 | inner | |
120.2.w.c.77.2 | yes | 32 | 3.2 | odd | 2 | inner | |
120.2.w.c.77.7 | yes | 32 | 24.5 | odd | 2 | inner | |
120.2.w.c.77.10 | yes | 32 | 8.5 | even | 2 | inner | |
120.2.w.c.77.15 | yes | 32 | 1.1 | even | 1 | trivial | |
480.2.bi.c.17.4 | 32 | 12.11 | even | 2 | |||
480.2.bi.c.17.5 | 32 | 4.3 | odd | 2 | |||
480.2.bi.c.17.12 | 32 | 8.3 | odd | 2 | |||
480.2.bi.c.17.13 | 32 | 24.11 | even | 2 | |||
480.2.bi.c.113.4 | 32 | 40.3 | even | 4 | |||
480.2.bi.c.113.5 | 32 | 120.83 | odd | 4 | |||
480.2.bi.c.113.12 | 32 | 60.23 | odd | 4 | |||
480.2.bi.c.113.13 | 32 | 20.3 | even | 4 | |||
600.2.w.j.293.2 | 32 | 120.77 | even | 4 | |||
600.2.w.j.293.7 | 32 | 15.2 | even | 4 | |||
600.2.w.j.293.10 | 32 | 5.2 | odd | 4 | |||
600.2.w.j.293.15 | 32 | 40.37 | odd | 4 | |||
600.2.w.j.557.2 | 32 | 5.4 | even | 2 | |||
600.2.w.j.557.7 | 32 | 40.29 | even | 2 | |||
600.2.w.j.557.10 | 32 | 120.29 | odd | 2 | |||
600.2.w.j.557.15 | 32 | 15.14 | odd | 2 |