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 | 53.7 | ||
Character | \(\chi\) | \(=\) | 120.53 |
Dual form | 120.2.w.c.77.7 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.250043 | − | 1.39193i | −0.176807 | − | 0.984246i | ||||
\(3\) | −1.40091 | + | 1.01856i | −0.808814 | + | 0.588064i | ||||
\(4\) | −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 | −0.991992 | − | 0.126298i | \(-0.959690\pi\) |
0.126298 | + | 0.991992i | \(0.459690\pi\) | |||||||
\(8\) | 1.43773 | + | 2.43576i | 0.508313 | + | 0.861172i | ||||
\(9\) | 0.925085 | − | 2.85381i | 0.308362 | − | 0.951269i | ||||
\(10\) | 0.396613 | + | 3.13731i | 0.125420 | + | 0.992104i | ||||
\(11\) | −2.28378 | −0.688586 | −0.344293 | − | 0.938862i | \(-0.611881\pi\) | ||||
−0.344293 | + | 0.938862i | \(0.611881\pi\) | |||||||
\(12\) | 1.91764 | − | 2.88490i | 0.553574 | − | 0.832800i | ||||
\(13\) | −1.05635 | + | 1.05635i | −0.292977 | + | 0.292977i | −0.838255 | − | 0.545278i | \(-0.816424\pi\) |
0.545278 | + | 0.838255i | \(0.316424\pi\) | |||||||
\(14\) | 3.76080 | + | 2.61540i | 1.00512 | + | 0.698994i | ||||
\(15\) | 3.24665 | − | 2.11170i | 0.838281 | − | 0.545238i | ||||
\(16\) | 3.03093 | − | 2.61026i | 0.757732 | − | 0.652566i | ||||
\(17\) | −3.04391 | − | 3.04391i | −0.738256 | − | 0.738256i | 0.233984 | − | 0.972240i | \(-0.424824\pi\) |
−0.972240 | + | 0.233984i | \(0.924824\pi\) | |||||||
\(18\) | −4.20362 | − | 0.574081i | −0.990803 | − | 0.135312i | ||||
\(19\) | 3.36831 | 0.772744 | 0.386372 | − | 0.922343i | \(-0.373728\pi\) | ||||
0.386372 | + | 0.922343i | \(0.373728\pi\) | |||||||
\(20\) | 4.26775 | − | 1.33652i | 0.954298 | − | 0.298855i | ||||
\(21\) | 0.875741 | − | 5.54157i | 0.191102 | − | 1.20927i | ||||
\(22\) | 0.571043 | + | 3.17887i | 0.121747 | + | 0.677737i | ||||
\(23\) | −3.68785 | + | 3.68785i | −0.768969 | + | 0.768969i | −0.977925 | − | 0.208956i | \(-0.932994\pi\) |
0.208956 | + | 0.977925i | \(0.432994\pi\) | |||||||
\(24\) | −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 | ||||
\(27\) | 1.61081 | + | 4.94017i | 0.310000 | + | 0.950737i | ||||
\(28\) | 2.70010 | − | 5.88875i | 0.510270 | − | 1.11287i | ||||
\(29\) | − | 2.71461i | − | 0.504091i | −0.967715 | − | 0.252045i | \(-0.918897\pi\) | ||
0.967715 | − | 0.252045i | \(-0.0811032\pi\) | |||||||
\(30\) | −3.75114 | − | 3.99111i | −0.684862 | − | 0.728673i | ||||
\(31\) | −6.49196 | −1.16599 | −0.582995 | − | 0.812475i | \(-0.698119\pi\) | ||||
−0.582995 | + | 0.812475i | \(0.698119\pi\) | |||||||
\(32\) | −4.39118 | − | 3.56617i | −0.776258 | − | 0.630416i | ||||
\(33\) | 3.19937 | − | 2.32616i | 0.556938 | − | 0.404932i | ||||
\(34\) | −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 | \(-0.336614\pi\) |
−0.871133 | + | 0.491048i | \(0.836614\pi\) | |||||||
\(38\) | −0.842223 | − | 4.68847i | −0.136627 | − | 0.760570i | ||||
\(39\) | 0.403895 | − | 2.55579i | 0.0646749 | − | 0.409254i | ||||
\(40\) | −2.92747 | − | 5.60624i | −0.462874 | − | 0.886424i | ||||
\(41\) | 10.8056i | 1.68754i | 0.536702 | + | 0.843772i | \(0.319670\pi\) | ||||
−0.536702 | + | 0.843772i | \(0.680330\pi\) | |||||||
\(42\) | −7.93246 | + | 0.166657i | −1.22401 | + | 0.0257158i | ||||
\(43\) | 1.16384 | − | 1.16384i | 0.177484 | − | 0.177484i | −0.612774 | − | 0.790258i | \(-0.709946\pi\) |
0.790258 | + | 0.612774i | \(0.209946\pi\) | |||||||
\(44\) | 4.28199 | − | 1.58971i | 0.645534 | − | 0.239658i | ||||
\(45\) | −2.39737 | + | 6.26519i | −0.357379 | + | 0.933959i | ||||
\(46\) | 6.05536 | + | 4.21112i | 0.892814 | + | 0.620895i | ||||
\(47\) | 1.83768 | + | 1.83768i | 0.268053 | + | 0.268053i | 0.828315 | − | 0.560262i | \(-0.189300\pi\) |
−0.560262 | + | 0.828315i | \(0.689300\pi\) | |||||||
\(48\) | −1.58735 | + | 6.74391i | −0.229114 | + | 0.973400i | ||||
\(49\) | − | 3.49196i | − | 0.498852i | ||||||
\(50\) | −0.521095 | − | 7.05184i | −0.0736939 | − | 0.997281i | ||||
\(51\) | 7.36463 | + | 1.16384i | 1.03125 | + | 0.162970i | ||||
\(52\) | 1.24529 | − | 2.71591i | 0.172691 | − | 0.376629i | ||||
\(53\) | 5.82856 | + | 5.82856i | 0.800615 | + | 0.800615i | 0.983192 | − | 0.182577i | \(-0.0584439\pi\) |
−0.182577 | + | 0.983192i | \(0.558444\pi\) | |||||||
\(54\) | 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 | ||||
\(57\) | −4.71870 | + | 3.43082i | −0.625007 | + | 0.454423i | ||||
\(58\) | −3.77856 | + | 0.678770i | −0.496149 | + | 0.0891268i | ||||
\(59\) | 7.41311i | 0.965104i | 0.875867 | + | 0.482552i | \(0.160290\pi\) | ||||
−0.875867 | + | 0.482552i | \(0.839710\pi\) | |||||||
\(60\) | −4.61741 | + | 6.21929i | −0.596104 | + | 0.802907i | ||||
\(61\) | 8.97044i | 1.14855i | 0.818663 | + | 0.574274i | \(0.194716\pi\) | ||||
−0.818663 | + | 0.574274i | \(0.805284\pi\) | |||||||
\(62\) | 1.62327 | + | 9.03638i | 0.206155 | + | 1.14762i | ||||
\(63\) | 4.41757 | + | 8.65522i | 0.556561 | + | 1.09045i | ||||
\(64\) | −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 | −0.998183 | − | 0.0602525i | \(-0.980809\pi\) |
−0.0602525 | − | 0.998183i | \(-0.519191\pi\) | |||||||
\(68\) | 7.82602 | + | 3.58837i | 0.949044 | + | 0.435154i | ||||
\(69\) | 1.41005 | − | 8.92262i | 0.169750 | − | 1.07416i | ||||
\(70\) | −8.09413 | − | 6.27732i | −0.967433 | − | 0.750283i | ||||
\(71\) | − | 7.37570i | − | 0.875334i | −0.899137 | − | 0.437667i | \(-0.855805\pi\) | ||
0.899137 | − | 0.437667i | \(-0.144195\pi\) | |||||||
\(72\) | 8.28122 | − | 1.84971i | 0.975951 | − | 0.217990i | ||||
\(73\) | 1.83441 | + | 1.83441i | 0.214701 | + | 0.214701i | 0.806261 | − | 0.591560i | \(-0.201488\pi\) |
−0.591560 | + | 0.806261i | \(0.701488\pi\) | |||||||
\(74\) | −2.64001 | + | 3.79620i | −0.306895 | + | 0.441299i | ||||
\(75\) | −7.49530 | + | 4.33825i | −0.865483 | + | 0.500938i | ||||
\(76\) | −6.31544 | + | 2.34464i | −0.724431 | + | 0.268948i | ||||
\(77\) | 5.23080 | − | 5.23080i | 0.596104 | − | 0.596104i | ||||
\(78\) | −3.65848 | + | 0.0768630i | −0.414241 | + | 0.00870302i | ||||
\(79\) | − | 8.28844i | − | 0.932522i | −0.884647 | − | 0.466261i | \(-0.845601\pi\) | ||
0.884647 | − | 0.466261i | \(-0.154399\pi\) | |||||||
\(80\) | −7.07152 | + | 5.47664i | −0.790620 | + | 0.612307i | ||||
\(81\) | −7.28844 | − | 5.28003i | −0.809826 | − | 0.586670i | ||||
\(82\) | 15.0406 | − | 2.70185i | 1.66096 | − | 0.298370i | ||||
\(83\) | −5.27928 | − | 5.27928i | −0.579476 | − | 0.579476i | 0.355283 | − | 0.934759i | \(-0.384384\pi\) |
−0.934759 | + | 0.355283i | \(0.884384\pi\) | |||||||
\(84\) | 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 | ||||
\(87\) | 2.76499 | + | 3.80292i | 0.296438 | + | 0.407716i | ||||
\(88\) | −3.28345 | − | 5.56275i | −0.350017 | − | 0.592991i | ||||
\(89\) | −11.5311 | −1.22230 | −0.611149 | − | 0.791515i | \(-0.709292\pi\) | ||||
−0.611149 | + | 0.791515i | \(0.709292\pi\) | |||||||
\(90\) | 9.32017 | + | 1.77042i | 0.982432 | + | 0.186618i | ||||
\(91\) | − | 4.83893i | − | 0.507258i | ||||||
\(92\) | 4.34749 | − | 9.48162i | 0.453258 | − | 0.988527i | ||||
\(93\) | 9.09464 | − | 6.61243i | 0.943070 | − | 0.685677i | ||||
\(94\) | 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 | −0.834678 | − | 0.550739i | \(-0.814346\pi\) |
0.550739 | + | 0.834678i | \(0.314346\pi\) | |||||||
\(98\) | −4.86058 | + | 0.873141i | −0.490993 | + | 0.0882005i | ||||
\(99\) | −2.11269 | + | 6.51747i | −0.212333 | + | 0.655030i | ||||
\(100\) | −9.68540 | + | 2.48859i | −0.968540 | + | 0.248859i | ||||
\(101\) | −8.94251 | −0.889813 | −0.444907 | − | 0.895577i | \(-0.646763\pi\) | ||||
−0.444907 | + | 0.895577i | \(0.646763\pi\) | |||||||
\(102\) | −0.221484 | − | 10.5421i | −0.0219302 | − | 1.04382i | ||||
\(103\) | −2.54400 | − | 2.54400i | −0.250668 | − | 0.250668i | 0.570577 | − | 0.821244i | \(-0.306720\pi\) |
−0.821244 | + | 0.570577i | \(0.806720\pi\) | |||||||
\(104\) | −4.09174 | − | 1.05427i | −0.401228 | − | 0.103380i | ||||
\(105\) | −2.59951 | + | 12.2728i | −0.253686 | + | 1.19770i | ||||
\(106\) | 6.65558 | − | 9.57036i | 0.646447 | − | 0.929556i | ||||
\(107\) | −5.14834 | + | 5.14834i | −0.497709 | + | 0.497709i | −0.910724 | − | 0.413015i | \(-0.864476\pi\) |
0.413015 | + | 0.910724i | \(0.364476\pi\) | |||||||
\(108\) | −6.45898 | − | 8.14135i | −0.621516 | − | 0.783402i | ||||
\(109\) | 1.40528 | 0.134601 | 0.0673005 | − | 0.997733i | \(-0.478561\pi\) | ||||
0.0673005 | + | 0.997733i | \(0.478561\pi\) | |||||||
\(110\) | −0.905777 | − | 7.16492i | −0.0863624 | − | 0.683148i | ||||
\(111\) | 5.59372 | + | 0.883983i | 0.530933 | + | 0.0839040i | ||||
\(112\) | −0.963489 | + | 12.9206i | −0.0910412 | + | 1.22089i | ||||
\(113\) | 13.2872 | − | 13.2872i | 1.24995 | − | 1.24995i | 0.294212 | − | 0.955740i | \(-0.404943\pi\) |
0.955740 | − | 0.294212i | \(-0.0950570\pi\) | |||||||
\(114\) | 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 | ||||
\(117\) | 2.03740 | + | 3.99181i | 0.188357 | + | 0.369043i | ||||
\(118\) | 10.3186 | − | 1.85360i | 0.949900 | − | 0.170637i | ||||
\(119\) | 13.9436 | 1.27821 | ||||||||
\(120\) | 9.81139 | + | 4.87203i | 0.895653 | + | 0.444753i | ||||
\(121\) | −5.78435 | −0.525850 | ||||||||
\(122\) | 12.4863 | − | 2.24300i | 1.13045 | − | 0.203071i | ||||
\(123\) | −11.0061 | − | 15.1376i | −0.992384 | − | 1.36491i | ||||
\(124\) | 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 | −0.313816 | − | 0.949484i | \(-0.601607\pi\) |
0.949484 | + | 0.313816i | \(0.101607\pi\) | |||||||
\(128\) | 10.7156 | + | 3.62978i | 0.947137 | + | 0.320830i | ||||
\(129\) | −0.444996 | + | 2.81587i | −0.0391797 | + | 0.247924i | ||||
\(130\) | −3.73304 | − | 2.89512i | −0.327409 | − | 0.253919i | ||||
\(131\) | −2.74859 | −0.240145 | −0.120073 | − | 0.992765i | \(-0.538313\pi\) | ||||
−0.120073 | + | 0.992765i | \(0.538313\pi\) | |||||||
\(132\) | −4.37946 | + | 6.58849i | −0.381183 | + | 0.573454i | ||||
\(133\) | −7.71482 | + | 7.71482i | −0.668960 | + | 0.668960i | ||||
\(134\) | −9.89296 | + | 14.2255i | −0.854622 | + | 1.22890i | ||||
\(135\) | −3.02295 | − | 11.2188i | −0.260174 | − | 0.965562i | ||||
\(136\) | 3.03793 | − | 11.7905i | 0.260501 | − | 1.01103i | ||||
\(137\) | 10.1741 | + | 10.1741i | 0.869232 | + | 0.869232i | 0.992387 | − | 0.123155i | \(-0.0393012\pi\) |
−0.123155 | + | 0.992387i | \(0.539301\pi\) | |||||||
\(138\) | −12.7723 | + | 0.268339i | −1.08725 | + | 0.0228426i | ||||
\(139\) | −0.857068 | −0.0726955 | −0.0363478 | − | 0.999339i | \(-0.511572\pi\) | ||||
−0.0363478 | + | 0.999339i | \(0.511572\pi\) | |||||||
\(140\) | −6.71372 | + | 12.8361i | −0.567413 | + | 1.08485i | ||||
\(141\) | −4.44620 | − | 0.702638i | −0.374437 | − | 0.0591728i | ||||
\(142\) | −10.2665 | + | 1.84424i | −0.861544 | + | 0.154765i | ||||
\(143\) | 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 | ||||
\(147\) | 3.55676 | + | 4.89192i | 0.293357 | + | 0.403478i | ||||
\(148\) | 5.94417 | + | 2.72551i | 0.488608 | + | 0.224036i | ||||
\(149\) | 7.83812i | 0.642124i | 0.947058 | + | 0.321062i | \(0.104040\pi\) | ||||
−0.947058 | + | 0.321062i | \(0.895960\pi\) | |||||||
\(150\) | 7.91271 | + | 9.34821i | 0.646070 | + | 0.763278i | ||||
\(151\) | 5.96120 | 0.485116 | 0.242558 | − | 0.970137i | \(-0.422014\pi\) | ||||
0.242558 | + | 0.970137i | \(0.422014\pi\) | |||||||
\(152\) | 4.84271 | + | 8.20441i | 0.392796 | + | 0.665466i | ||||
\(153\) | −11.5026 | + | 5.87086i | −0.929930 | + | 0.474631i | ||||
\(154\) | −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 | \(-0.278863\pi\) |
−0.768231 | + | 0.640173i | \(0.778863\pi\) | |||||||
\(158\) | −11.5370 | + | 2.07247i | −0.917831 | + | 0.164877i | ||||
\(159\) | −14.1020 | − | 2.22856i | −1.11836 | − | 0.176736i | ||||
\(160\) | 9.39131 | + | 8.47369i | 0.742448 | + | 0.669904i | ||||
\(161\) | − | 16.8934i | − | 1.33138i | ||||||
\(162\) | −5.52702 | + | 11.4653i | −0.434244 | + | 0.900795i | ||||
\(163\) | −9.91929 | + | 9.91929i | −0.776939 | + | 0.776939i | −0.979309 | − | 0.202370i | \(-0.935136\pi\) |
0.202370 | + | 0.979309i | \(0.435136\pi\) | |||||||
\(164\) | −7.52160 | − | 20.2599i | −0.587338 | − | 1.58204i | ||||
\(165\) | −7.41464 | + | 4.82265i | −0.577229 | + | 0.375443i | ||||
\(166\) | −6.02835 | + | 8.66845i | −0.467891 | + | 0.672802i | ||||
\(167\) | −1.02989 | − | 1.02989i | −0.0796952 | − | 0.0796952i | 0.666136 | − | 0.745831i | \(-0.267947\pi\) |
−0.745831 | + | 0.666136i | \(0.767947\pi\) | |||||||
\(168\) | 14.7570 | − | 5.83416i | 1.13853 | − | 0.450115i | ||||
\(169\) | 10.7683i | 0.828328i | ||||||||
\(170\) | 8.34242 | − | 10.7569i | 0.639835 | − | 0.825019i | ||||
\(171\) | 3.11598 | − | 9.61252i | 0.238285 | − | 0.735088i | ||||
\(172\) | −1.37202 | + | 2.99229i | −0.104615 | + | 0.228160i | ||||
\(173\) | 6.58294 | + | 6.58294i | 0.500492 | + | 0.500492i | 0.911591 | − | 0.411099i | \(-0.134855\pi\) |
−0.411099 | + | 0.911591i | \(0.634855\pi\) | |||||||
\(174\) | 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 | ||||
\(177\) | −7.55067 | − | 10.3851i | −0.567543 | − | 0.780590i | ||||
\(178\) | 2.88328 | + | 16.0506i | 0.216111 | + | 1.20304i | ||||
\(179\) | − | 9.12480i | − | 0.682019i | −0.940060 | − | 0.341010i | \(-0.889231\pi\) | ||
0.940060 | − | 0.341010i | \(-0.110769\pi\) | |||||||
\(180\) | 0.133860 | − | 13.4157i | 0.00997730 | − | 0.999950i | ||||
\(181\) | − | 2.94123i | − | 0.218620i | −0.994008 | − | 0.109310i | \(-0.965136\pi\) | ||
0.994008 | − | 0.109310i | \(-0.0348641\pi\) | |||||||
\(182\) | −6.73547 | + | 1.20994i | −0.499266 | + | 0.0896868i | ||||
\(183\) | −9.13690 | − | 12.5668i | −0.675419 | − | 0.928962i | ||||
\(184\) | −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 | ||||
\(188\) | −4.72475 | − | 2.16638i | −0.344588 | − | 0.158000i | ||||
\(189\) | −15.0044 | − | 7.62561i | −1.09141 | − | 0.554682i | ||||
\(190\) | 1.33592 | + | 10.5674i | 0.0969176 | + | 0.766642i | ||||
\(191\) | 1.93237i | 0.139822i | 0.997553 | + | 0.0699108i | \(0.0222715\pi\) | ||||
−0.997553 | + | 0.0699108i | \(0.977729\pi\) | |||||||
\(192\) | −1.71814 | − | 13.7495i | −0.123996 | − | 0.992283i | ||||
\(193\) | −6.07278 | − | 6.07278i | −0.437128 | − | 0.437128i | 0.453916 | − | 0.891044i | \(-0.350027\pi\) |
−0.891044 | + | 0.453916i | \(0.850027\pi\) | |||||||
\(194\) | 4.59175 | + | 3.19327i | 0.329668 | + | 0.229263i | ||||
\(195\) | −1.19890 | + | 5.66026i | −0.0858552 | + | 0.405340i | ||||
\(196\) | 2.43071 | + | 6.54728i | 0.173622 | + | 0.467663i | ||||
\(197\) | 13.4343 | − | 13.4343i | 0.957153 | − | 0.957153i | −0.0419662 | − | 0.999119i | \(-0.513362\pi\) |
0.999119 | + | 0.0419662i | \(0.0133622\pi\) | |||||||
\(198\) | 9.60015 | + | 1.31108i | 0.682253 | + | 0.0931741i | ||||
\(199\) | 18.4880i | 1.31058i | 0.755377 | + | 0.655290i | \(0.227454\pi\) | ||||
−0.755377 | + | 0.655290i | \(0.772546\pi\) | |||||||
\(200\) | 5.88572 | + | 12.8592i | 0.416183 | + | 0.909281i | ||||
\(201\) | 20.9614 | + | 3.31256i | 1.47851 | + | 0.233650i | ||||
\(202\) | 2.23601 | + | 12.4474i | 0.157325 | + | 0.875795i | ||||
\(203\) | 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 | ||||
\(207\) | 7.11284 | + | 13.9360i | 0.494376 | + | 0.968617i | ||||
\(208\) | −0.444365 | + | 5.95905i | −0.0308111 | + | 0.413185i | ||||
\(209\) | −7.69249 | −0.532101 | ||||||||
\(210\) | 17.7329 | + | 0.549611i | 1.22369 | + | 0.0379268i | ||||
\(211\) | 16.4703i | 1.13386i | 0.823766 | + | 0.566930i | \(0.191869\pi\) | ||||
−0.823766 | + | 0.566930i | \(0.808131\pi\) | |||||||
\(212\) | −14.9855 | − | 6.87112i | −1.02921 | − | 0.471910i | ||||
\(213\) | 7.51256 | + | 10.3327i | 0.514752 | + | 0.707983i | ||||
\(214\) | 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 | ||||
\(218\) | −0.351380 | − | 1.95605i | −0.0237984 | − | 0.132480i | ||||
\(219\) | −4.43829 | − | 0.701388i | −0.299912 | − | 0.0473954i | ||||
\(220\) | −9.74661 | + | 3.05232i | −0.657116 | + | 0.205787i | ||||
\(221\) | 6.43084 | 0.432585 | ||||||||
\(222\) | −0.168226 | − | 8.00713i | −0.0112906 | − | 0.537403i | ||||
\(223\) | 4.42933 | + | 4.42933i | 0.296610 | + | 0.296610i | 0.839685 | − | 0.543074i | \(-0.182740\pi\) |
−0.543074 | + | 0.839685i | \(0.682740\pi\) | |||||||
\(224\) | 18.2256 | − | 1.88960i | 1.21775 | − | 0.126255i | ||||
\(225\) | 6.08147 | − | 13.7119i | 0.405432 | − | 0.914125i | ||||
\(226\) | −21.8172 | − | 15.1725i | −1.45126 | − | 1.00926i | ||||
\(227\) | −10.1132 | + | 10.1132i | −0.671238 | + | 0.671238i | −0.958001 | − | 0.286764i | \(-0.907421\pi\) |
0.286764 | + | 0.958001i | \(0.407421\pi\) | |||||||
\(228\) | 6.45921 | − | 9.71726i | 0.427771 | − | 0.643541i | ||||
\(229\) | 14.7318 | 0.973503 | 0.486752 | − | 0.873540i | \(-0.338182\pi\) | ||||
0.486752 | + | 0.873540i | \(0.338182\pi\) | |||||||
\(230\) | −13.0326 | − | 10.1073i | −0.859342 | − | 0.666453i | ||||
\(231\) | −2.00000 | + | 12.6557i | −0.131590 | + | 0.832685i | ||||
\(232\) | 6.61215 | − | 3.90287i | 0.434109 | − | 0.256236i | ||||
\(233\) | −5.91148 | + | 5.91148i | −0.387274 | + | 0.387274i | −0.873714 | − | 0.486440i | \(-0.838295\pi\) |
0.486440 | + | 0.873714i | \(0.338295\pi\) | |||||||
\(234\) | 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 | ||||
\(237\) | 8.44224 | + | 11.6113i | 0.548383 | + | 0.754237i | ||||
\(238\) | −3.48650 | − | 19.4086i | −0.225996 | − | 1.25807i | ||||
\(239\) | 24.4787 | 1.58339 | 0.791697 | − | 0.610914i | \(-0.209198\pi\) | ||||
0.791697 | + | 0.610914i | \(0.209198\pi\) | |||||||
\(240\) | 4.32827 | − | 14.8750i | 0.279389 | − | 0.960178i | ||||
\(241\) | 7.20044 | 0.463821 | 0.231911 | − | 0.972737i | \(-0.425502\pi\) | ||||
0.231911 | + | 0.972737i | \(0.425502\pi\) | |||||||
\(242\) | 1.44634 | + | 8.05142i | 0.0929740 | + | 0.517565i | ||||
\(243\) | 15.5884 | − | 0.0268543i | 0.999999 | − | 0.00172270i | ||||
\(244\) | −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 | ||||
\(248\) | −9.33366 | − | 15.8129i | −0.592688 | − | 1.00412i | ||||
\(249\) | 12.7730 | + | 2.01854i | 0.809457 | + | 0.127920i | ||||
\(250\) | 0.344194 | + | 15.8076i | 0.0217687 | + | 0.999763i | ||||
\(251\) | 17.5748 | 1.10931 | 0.554656 | − | 0.832080i | \(-0.312850\pi\) | ||||
0.554656 | + | 0.832080i | \(0.312850\pi\) | |||||||
\(252\) | −14.3075 | − | 13.1531i | −0.901290 | − | 0.828570i | ||||
\(253\) | 8.42223 | − | 8.42223i | 0.529501 | − | 0.529501i | ||||
\(254\) | −11.7625 | − | 8.18006i | −0.738044 | − | 0.513263i | ||||
\(255\) | −16.3103 | − | 3.45469i | −1.02139 | − | 0.216341i | ||||
\(256\) | 2.37304 | − | 15.8230i | 0.148315 | − | 0.988940i | ||||
\(257\) | −1.75603 | − | 1.75603i | −0.109538 | − | 0.109538i | 0.650213 | − | 0.759752i | \(-0.274679\pi\) |
−0.759752 | + | 0.650213i | \(0.774679\pi\) | |||||||
\(258\) | 4.03078 | − | 0.0846847i | 0.250945 | − | 0.00527224i | ||||
\(259\) | 10.5907 | 0.658075 | ||||||||
\(260\) | −3.09639 | + | 5.92005i | −0.192030 | + | 0.367146i | ||||
\(261\) | −7.74698 | − | 2.51125i | −0.479526 | − | 0.155442i | ||||
\(262\) | 0.687265 | + | 3.82585i | 0.0424594 | + | 0.236362i | ||||
\(263\) | −12.6682 | + | 12.6682i | −0.781156 | + | 0.781156i | −0.980026 | − | 0.198870i | \(-0.936273\pi\) |
0.198870 | + | 0.980026i | \(0.436273\pi\) | |||||||
\(264\) | 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 | ||||
\(267\) | 16.1541 | − | 11.7451i | 0.988613 | − | 0.718790i | ||||
\(268\) | 22.2747 | + | 10.2133i | 1.36064 | + | 0.623879i | ||||
\(269\) | 8.45856i | 0.515728i | 0.966181 | + | 0.257864i | \(0.0830186\pi\) | ||||
−0.966181 | + | 0.257864i | \(0.916981\pi\) | |||||||
\(270\) | −14.8600 | + | 7.01293i | −0.904349 | + | 0.426793i | ||||
\(271\) | −2.72369 | −0.165453 | −0.0827263 | − | 0.996572i | \(-0.526363\pi\) | ||||
−0.0827263 | + | 0.996572i | \(0.526363\pi\) | |||||||
\(272\) | −17.1713 | − | 1.28046i | −1.04116 | − | 0.0776392i | ||||
\(273\) | 4.92872 | + | 6.77889i | 0.298300 | + | 0.410277i | ||||
\(274\) | 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 | −0.993349 | − | 0.115146i | \(-0.963266\pi\) |
−0.115146 | − | 0.993349i | \(-0.536734\pi\) | |||||||
\(278\) | 0.214304 | + | 1.19298i | 0.0128531 | + | 0.0715503i | ||||
\(279\) | −6.00561 | + | 18.5268i | −0.359547 | + | 1.10917i | ||||
\(280\) | 19.5457 | + | 6.13548i | 1.16808 | + | 0.366665i | ||||
\(281\) | 21.0738i | 1.25716i | 0.777746 | + | 0.628579i | \(0.216363\pi\) | ||||
−0.777746 | + | 0.628579i | \(0.783637\pi\) | |||||||
\(282\) | 0.133715 | + | 6.36450i | 0.00796262 | + | 0.379000i | ||||
\(283\) | −2.63446 | + | 2.63446i | −0.156602 | + | 0.156602i | −0.781059 | − | 0.624457i | \(-0.785320\pi\) |
0.624457 | + | 0.781059i | \(0.285320\pi\) | |||||||
\(284\) | 5.13412 | + | 13.8291i | 0.304654 | + | 0.820607i | ||||
\(285\) | 10.9357 | − | 7.11286i | 0.647777 | − | 0.421329i | ||||
\(286\) | −3.96120 | − | 2.75477i | −0.234231 | − | 0.162893i | ||||
\(287\) | −24.7492 | − | 24.7492i | −1.46090 | − | 1.46090i | ||||
\(288\) | −14.2394 | + | 9.23256i | −0.839063 | + | 0.544034i | ||||
\(289\) | 1.53076i | 0.0900446i | ||||||||
\(290\) | 8.51657 | − | 1.07665i | 0.500110 | − | 0.0632231i | ||||
\(291\) | 1.06924 | − | 6.76597i | 0.0626797 | − | 0.396628i | ||||
\(292\) | −4.71635 | − | 2.16253i | −0.276003 | − | 0.126553i | ||||
\(293\) | −17.1460 | − | 17.1460i | −1.00168 | − | 1.00168i | −0.999999 | − | 0.00168124i | \(-0.999465\pi\) |
−0.00168124 | − | 0.999999i | \(-0.500535\pi\) | |||||||
\(294\) | 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 | ||||
\(297\) | −3.67873 | − | 11.2823i | −0.213461 | − | 0.654664i | ||||
\(298\) | 10.9101 | − | 1.95987i | 0.632008 | − | 0.113532i | ||||
\(299\) | − | 7.79128i | − | 0.450581i | ||||||
\(300\) | 11.0336 | − | 13.3514i | 0.637024 | − | 0.770844i | ||||
\(301\) | 5.33135i | 0.307294i | ||||||||
\(302\) | −1.49056 | − | 8.29760i | −0.0857720 | − | 0.477473i | ||||
\(303\) | 12.5276 | − | 9.10846i | 0.719694 | − | 0.523267i | ||||
\(304\) | 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 | \(-0.209002\pi\) |
−0.610428 | + | 0.792072i | \(0.709002\pi\) | |||||||
\(308\) | −6.16643 | + | 13.4486i | −0.351365 | + | 0.766305i | ||||
\(309\) | 6.15511 | + | 0.972701i | 0.350152 | + | 0.0553350i | ||||
\(310\) | −2.57480 | − | 20.3673i | −0.146239 | − | 1.15678i | ||||
\(311\) | − | 6.88470i | − | 0.390395i | −0.980764 | − | 0.195198i | \(-0.937465\pi\) | ||
0.980764 | − | 0.195198i | \(-0.0625349\pi\) | |||||||
\(312\) | 6.80599 | − | 2.69073i | 0.385313 | − | 0.152333i | ||||
\(313\) | 2.20044 | + | 2.20044i | 0.124376 | + | 0.124376i | 0.766555 | − | 0.642179i | \(-0.221969\pi\) |
−0.642179 | + | 0.766555i | \(0.721969\pi\) | |||||||
\(314\) | −1.83222 | + | 2.63464i | −0.103398 | + | 0.148681i | ||||
\(315\) | −8.85888 | − | 19.8408i | −0.499142 | − | 1.11790i | ||||
\(316\) | 5.76947 | + | 15.5405i | 0.324558 | + | 0.874219i | ||||
\(317\) | −12.2682 | + | 12.2682i | −0.689052 | + | 0.689052i | −0.962022 | − | 0.272971i | \(-0.911994\pi\) |
0.272971 | + | 0.962022i | \(0.411994\pi\) | |||||||
\(318\) | 0.424104 | + | 20.1863i | 0.0237826 | + | 1.13199i | ||||
\(319\) | 6.19958i | 0.347110i | ||||||||
\(320\) | 9.44657 | − | 15.1909i | 0.528080 | − | 0.849195i | ||||
\(321\) | 1.96847 | − | 12.4562i | 0.109869 | − | 0.695239i | ||||
\(322\) | −23.5144 | + | 4.22407i | −1.31041 | + | 0.235398i | ||||
\(323\) | −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 | ||||
\(327\) | −1.96866 | + | 1.43135i | −0.108867 | + | 0.0791540i | ||||
\(328\) | −26.3198 | + | 15.5354i | −1.45327 | + | 0.857800i | ||||
\(329\) | −8.41808 | −0.464104 | ||||||||
\(330\) | 8.56679 | + | 9.11481i | 0.471586 | + | 0.501754i | ||||
\(331\) | 22.1105i | 1.21530i | 0.794204 | + | 0.607651i | \(0.207888\pi\) | ||||
−0.794204 | + | 0.607651i | \(0.792112\pi\) | |||||||
\(332\) | 13.5732 | + | 6.22358i | 0.744929 | + | 0.341563i | ||||
\(333\) | −8.73668 | + | 4.45915i | −0.478767 | + | 0.244360i | ||||
\(334\) | −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 | −0.649418 | − | 0.760432i | \(-0.724987\pi\) |
0.760432 | + | 0.649418i | \(0.224987\pi\) | |||||||
\(338\) | 14.9887 | − | 2.69253i | 0.815279 | − | 0.146454i | ||||
\(339\) | −5.08036 | + | 32.1478i | −0.275927 | + | 1.74603i | ||||
\(340\) | −17.0589 | − | 8.92240i | −0.925148 | − | 0.483885i | ||||
\(341\) | 14.8262 | 0.802885 | ||||||||
\(342\) | −14.1591 | − | 1.93369i | −0.765637 | − | 0.104562i | ||||
\(343\) | −8.03485 | − | 8.03485i | −0.433841 | − | 0.433841i | ||||
\(344\) | 4.50813 | + | 1.16156i | 0.243062 | + | 0.0626270i | ||||
\(345\) | −4.18553 | + | 19.7608i | −0.225342 | + | 1.06388i | ||||
\(346\) | 7.51699 | − | 10.8090i | 0.404116 | − | 0.581097i | ||||
\(347\) | 2.80739 | − | 2.80739i | 0.150709 | − | 0.150709i | −0.627726 | − | 0.778435i | \(-0.716014\pi\) |
0.778435 | + | 0.627726i | \(0.216014\pi\) | |||||||
\(348\) | −7.83139 | − | 5.20564i | −0.419807 | − | 0.279052i | ||||
\(349\) | −36.8980 | −1.97511 | −0.987554 | − | 0.157283i | \(-0.949726\pi\) | ||||
−0.987554 | + | 0.157283i | \(0.949726\pi\) | |||||||
\(350\) | 17.3451 | + | 14.9581i | 0.927136 | + | 0.799544i | ||||
\(351\) | −6.92010 | − | 3.51696i | −0.369367 | − | 0.187721i | ||||
\(352\) | 10.0285 | + | 8.14435i | 0.534520 | + | 0.434095i | ||||
\(353\) | −2.00153 | + | 2.00153i | −0.106531 | + | 0.106531i | −0.758363 | − | 0.651832i | \(-0.774001\pi\) |
0.651832 | + | 0.758363i | \(0.274001\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | −19.5337 | + | 14.2023i | −1.03383 | + | 0.751668i | ||||
\(358\) | −12.7011 | + | 2.28159i | −0.671274 | + | 0.120586i | ||||
\(359\) | −12.9584 | −0.683920 | −0.341960 | − | 0.939714i | \(-0.611091\pi\) | ||||
−0.341960 | + | 0.939714i | \(0.611091\pi\) | |||||||
\(360\) | −18.7073 | + | 3.16819i | −0.985961 | + | 0.166978i | ||||
\(361\) | −7.65447 | −0.402867 | ||||||||
\(362\) | −4.09400 | + | 0.735434i | −0.215176 | + | 0.0386536i | ||||
\(363\) | 8.10334 | − | 5.89168i | 0.425315 | − | 0.309233i | ||||
\(364\) | 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 | 0.0650212 | − | 0.997884i | \(-0.479289\pi\) |
0.997884 | − | 0.0650212i | \(-0.0207115\pi\) | |||||||
\(368\) | −1.55134 | + | 20.8039i | −0.0808691 | + | 1.08448i | ||||
\(369\) | 30.8370 | + | 9.99605i | 1.60531 | + | 0.520374i | ||||
\(370\) | 6.33640 | − | 8.17031i | 0.329414 | − | 0.424754i | ||||
\(371\) | −26.6996 | −1.38617 | ||||||||
\(372\) | −12.4492 | + | 18.7287i | −0.645463 | + | 0.971037i | ||||
\(373\) | 10.1764 | − | 10.1764i | 0.526916 | − | 0.526916i | −0.392735 | − | 0.919652i | \(-0.628471\pi\) |
0.919652 | + | 0.392735i | \(0.128471\pi\) | |||||||
\(374\) | 7.93799 | − | 11.4144i | 0.410464 | − | 0.590224i | ||||
\(375\) | 17.2415 | − | 8.81655i | 0.890346 | − | 0.455285i | ||||
\(376\) | −1.83407 | + | 7.11823i | −0.0945850 | + | 0.367095i | ||||
\(377\) | 2.86757 | + | 2.86757i | 0.147687 | + | 0.147687i | ||||
\(378\) | −6.86259 | + | 22.7919i | −0.352974 | + | 1.17229i | ||||
\(379\) | −13.0462 | −0.670137 | −0.335068 | − | 0.942194i | \(-0.608759\pi\) | ||||
−0.335068 | + | 0.942194i | \(0.608759\pi\) | |||||||
\(380\) | 14.3751 | − | 4.50182i | 0.737428 | − | 0.230939i | ||||
\(381\) | −2.73902 | + | 17.3321i | −0.140324 | + | 0.887951i | ||||
\(382\) | 2.68973 | − | 0.483176i | 0.137619 | − | 0.0247214i | ||||
\(383\) | −11.1099 | + | 11.1099i | −0.567687 | + | 0.567687i | −0.931480 | − | 0.363793i | \(-0.881482\pi\) |
0.363793 | + | 0.931480i | \(0.381482\pi\) | |||||||
\(384\) | −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 | ||||
\(387\) | −2.24473 | − | 4.39803i | −0.114106 | − | 0.223565i | ||||
\(388\) | 3.29668 | − | 7.18986i | 0.167364 | − | 0.365010i | ||||
\(389\) | − | 14.2176i | − | 0.720861i | −0.932786 | − | 0.360431i | \(-0.882630\pi\) | ||
0.932786 | − | 0.360431i | \(-0.117370\pi\) | |||||||
\(390\) | 8.17849 | + | 0.253483i | 0.414134 | + | 0.0128356i | ||||
\(391\) | 22.4509 | 1.13539 | ||||||||
\(392\) | 8.50559 | − | 5.02048i | 0.429597 | − | 0.253573i | ||||
\(393\) | 3.85052 | − | 2.79959i | 0.194233 | − | 0.141221i | ||||
\(394\) | −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 | 0.967271 | + | 0.253746i | \(0.0816626\pi\) |
0.253746 | + | 0.967271i | \(0.418337\pi\) | |||||||
\(398\) | 25.7341 | − | 4.62280i | 1.28993 | − | 0.231720i | ||||
\(399\) | 2.94977 | − | 18.6657i | 0.147673 | − | 0.934455i | ||||
\(400\) | 16.4274 | − | 11.4079i | 0.821371 | − | 0.570394i | ||||
\(401\) | 21.3193i | 1.06463i | 0.846545 | + | 0.532317i | \(0.178679\pi\) | ||||
−0.846545 | + | 0.532317i | \(0.821321\pi\) | |||||||
\(402\) | −0.630396 | − | 30.0052i | −0.0314413 | − | 1.49652i | ||||
\(403\) | 6.85775 | − | 6.85775i | 0.341609 | − | 0.341609i | ||||
\(404\) | 16.7668 | − | 6.22476i | 0.834181 | − | 0.309694i | ||||
\(405\) | 15.6619 | + | 12.6375i | 0.778245 | + | 0.627961i | ||||
\(406\) | 7.09979 | − | 10.2091i | 0.352357 | − | 0.506670i | ||||
\(407\) | 5.28003 | + | 5.28003i | 0.261721 | + | 0.261721i | ||||
\(408\) | 7.75348 | + | 19.6118i | 0.383854 | + | 0.970928i | ||||
\(409\) | − | 0.899012i | − | 0.0444533i | −0.999753 | − | 0.0222266i | \(-0.992924\pi\) | ||
0.999753 | − | 0.0222266i | \(-0.00707554\pi\) | |||||||
\(410\) | −33.9003 | + | 4.28562i | −1.67422 | + | 0.211652i | ||||
\(411\) | −24.6159 | − | 3.89008i | −1.21421 | − | 0.191883i | ||||
\(412\) | 6.54073 | + | 2.99904i | 0.322239 | + | 0.147752i | ||||
\(413\) | −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 | ||||
\(417\) | 1.20067 | − | 0.872972i | 0.0587972 | − | 0.0427496i | ||||
\(418\) | 1.92345 | + | 10.7074i | 0.0940792 | + | 0.523718i | ||||
\(419\) | − | 31.7713i | − | 1.55213i | −0.630653 | − | 0.776065i | \(-0.717213\pi\) | ||
0.630653 | − | 0.776065i | \(-0.282787\pi\) | |||||||
\(420\) | −3.66897 | − | 24.8205i | −0.179028 | − | 1.21112i | ||||
\(421\) | − | 21.3473i | − | 1.04040i | −0.854044 | − | 0.520201i | \(-0.825857\pi\) | ||
0.854044 | − | 0.520201i | \(-0.174143\pi\) | |||||||
\(422\) | 22.9255 | − | 4.11828i | 1.11600 | − | 0.200475i | ||||
\(423\) | 6.94439 | − | 3.54437i | 0.337648 | − | 0.172333i | ||||
\(424\) | −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 | ||||
\(428\) | 6.06923 | − | 13.2366i | 0.293367 | − | 0.639815i | ||||
\(429\) | −0.922407 | + | 5.83686i | −0.0445342 | + | 0.281806i | ||||
\(430\) | 4.11292 | + | 3.18973i | 0.198343 | + | 0.153823i | ||||
\(431\) | − | 5.92452i | − | 0.285374i | −0.989768 | − | 0.142687i | \(-0.954426\pi\) | ||
0.989768 | − | 0.142687i | \(-0.0455743\pi\) | |||||||
\(432\) | 17.7774 | + | 10.7687i | 0.855315 | + | 0.518108i | ||||
\(433\) | −19.7804 | − | 19.7804i | −0.950585 | − | 0.950585i | 0.0482500 | − | 0.998835i | \(-0.484636\pi\) |
−0.998835 | + | 0.0482500i | \(0.984636\pi\) | |||||||
\(434\) | −24.4150 | − | 16.9791i | −1.17196 | − | 0.815021i | ||||
\(435\) | −5.73244 | − | 8.81339i | −0.274849 | − | 0.422570i | ||||
\(436\) | −2.63483 | + | 0.978194i | −0.126186 | + | 0.0468470i | ||||
\(437\) | −12.4218 | + | 12.4218i | −0.594217 | + | 0.594217i | ||||
\(438\) | 0.133477 | + | 6.35318i | 0.00637779 | + | 0.303567i | ||||
\(439\) | − | 16.2344i | − | 0.774827i | −0.921906 | − | 0.387413i | \(-0.873369\pi\) | ||
0.921906 | − | 0.387413i | \(-0.126631\pi\) | |||||||
\(440\) | 6.68570 | + | 12.8034i | 0.318728 | + | 0.610379i | ||||
\(441\) | −9.96539 | − | 3.23036i | −0.474542 | − | 0.153827i | ||||
\(442\) | −1.60799 | − | 8.95130i | −0.0764841 | − | 0.425770i | ||||
\(443\) | 28.5774 | + | 28.5774i | 1.35775 | + | 1.35775i | 0.876682 | + | 0.481070i | \(0.159752\pi\) |
0.481070 | + | 0.876682i | \(0.340248\pi\) | |||||||
\(444\) | −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 | ||||
\(447\) | −7.98357 | − | 10.9805i | −0.377610 | − | 0.519359i | ||||
\(448\) | −7.18739 | − | 24.8963i | −0.339572 | − | 1.17624i | ||||
\(449\) | −2.81035 | −0.132628 | −0.0663142 | − | 0.997799i | \(-0.521124\pi\) | ||||
−0.0663142 | + | 0.997799i | \(0.521124\pi\) | |||||||
\(450\) | −20.6067 | − | 5.03645i | −0.971407 | − | 0.237420i | ||||
\(451\) | − | 24.6775i | − | 1.16202i | ||||||
\(452\) | −15.6639 | + | 34.1619i | −0.736766 | + | 1.60684i | ||||
\(453\) | −8.35110 | + | 6.07182i | −0.392369 | + | 0.285279i | ||||
\(454\) | 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 | −0.489623 | + | 0.871934i | \(0.662866\pi\) |
−0.871934 | + | 0.489623i | \(0.837134\pi\) | |||||||
\(458\) | −3.68358 | − | 20.5057i | −0.172122 | − | 0.958166i | ||||
\(459\) | 10.1343 | − | 19.9406i | 0.473028 | − | 0.930747i | ||||
\(460\) | −10.8099 | + | 20.6677i | −0.504016 | + | 0.963637i | ||||
\(461\) | 27.6096 | 1.28591 | 0.642954 | − | 0.765905i | \(-0.277709\pi\) | ||||
0.642954 | + | 0.765905i | \(0.277709\pi\) | |||||||
\(462\) | 18.1160 | − | 0.380609i | 0.842833 | − | 0.0177075i | ||||
\(463\) | 15.0078 | + | 15.0078i | 0.697470 | + | 0.697470i | 0.963864 | − | 0.266395i | \(-0.0858324\pi\) |
−0.266395 | + | 0.963864i | \(0.585832\pi\) | |||||||
\(464\) | −7.08585 | − | 8.22779i | −0.328953 | − | 0.381966i | ||||
\(465\) | −21.0771 | + | 13.7091i | −0.977428 | + | 0.635742i | ||||
\(466\) | 9.70650 | + | 6.75026i | 0.449645 | + | 0.312700i | ||||
\(467\) | 13.7467 | − | 13.7467i | 0.636119 | − | 0.636119i | −0.313477 | − | 0.949596i | \(-0.601494\pi\) |
0.949596 | + | 0.313477i | \(0.101494\pi\) | |||||||
\(468\) | −6.59868 | − | 6.06628i | −0.305024 | − | 0.280414i | ||||
\(469\) | 39.6867 | 1.83256 | ||||||||
\(470\) | −5.03651 | + | 6.49421i | −0.232317 | + | 0.299555i | ||||
\(471\) | 3.88216 | + | 0.613503i | 0.178881 | + | 0.0282687i | ||||
\(472\) | −18.0566 | + | 10.6580i | −0.831121 | + | 0.490575i | ||||
\(473\) | −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 | ||||
\(477\) | 22.0255 | − | 11.2417i | 1.00848 | − | 0.514721i | ||||
\(478\) | −6.12072 | − | 34.0727i | −0.279955 | − | 1.55845i | ||||
\(479\) | −37.7789 | −1.72616 | −0.863081 | − | 0.505066i | \(-0.831468\pi\) | ||||
−0.863081 | + | 0.505066i | \(0.831468\pi\) | |||||||
\(480\) | −21.7873 | − | 2.30527i | −0.994449 | − | 0.105221i | ||||
\(481\) | 4.88447 | 0.222713 | ||||||||
\(482\) | −1.80042 | − | 10.0225i | −0.0820069 | − | 0.456514i | ||||
\(483\) | 17.2069 | + | 23.6661i | 0.782939 | + | 1.07684i | ||||
\(484\) | 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 | −0.974932 | − | 0.222503i | \(-0.928577\pi\) |
0.222503 | + | 0.974932i | \(0.428577\pi\) | |||||||
\(488\) | −21.8499 | + | 12.8970i | −0.989097 | + | 0.583822i | ||||
\(489\) | 3.79265 | − | 23.9994i | 0.171510 | − | 1.08529i | ||||
\(490\) | 10.9554 | − | 1.38496i | 0.494913 | − | 0.0625660i | ||||
\(491\) | −6.31858 | −0.285154 | −0.142577 | − | 0.989784i | \(-0.545539\pi\) | ||||
−0.142577 | + | 0.989784i | \(0.545539\pi\) | |||||||
\(492\) | 31.1730 | + | 20.7211i | 1.40539 | + | 0.934181i | ||||
\(493\) | −8.26303 | + | 8.26303i | −0.372148 | + | 0.372148i | ||||
\(494\) | 5.84232 | + | 4.06296i | 0.262858 | + | 0.182801i | ||||
\(495\) | 5.47508 | − | 14.3083i | 0.246086 | − | 0.643111i | ||||
\(496\) | −19.6767 | + | 16.9457i | −0.883508 | + | 0.760886i | ||||
\(497\) | 16.8934 | + | 16.8934i | 0.757771 | + | 0.757771i | ||||
\(498\) | −0.384137 | − | 18.2839i | −0.0172136 | − | 0.819322i | ||||
\(499\) | −29.5722 | −1.32383 | −0.661917 | − | 0.749577i | \(-0.730257\pi\) | ||||
−0.661917 | + | 0.749577i | \(0.730257\pi\) | |||||||
\(500\) | 21.9171 | − | 4.43169i | 0.980163 | − | 0.198191i | ||||
\(501\) | 2.49178 | + | 0.393779i | 0.111324 | + | 0.0175927i | ||||
\(502\) | −4.39446 | − | 24.4630i | −0.196134 | − | 1.09184i | ||||
\(503\) | 24.2566 | − | 24.2566i | 1.08155 | − | 1.08155i | 0.0851818 | − | 0.996365i | \(-0.472853\pi\) |
0.996365 | − | 0.0851818i | \(-0.0271471\pi\) | |||||||
\(504\) | −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 | ||||
\(507\) | −10.9681 | − | 15.0854i | −0.487110 | − | 0.669964i | ||||
\(508\) | −8.44498 | + | 18.4180i | −0.374685 | + | 0.817165i | ||||
\(509\) | 36.5584i | 1.62042i | 0.586138 | + | 0.810211i | \(0.300648\pi\) | ||||
−0.586138 | + | 0.810211i | \(0.699352\pi\) | |||||||
\(510\) | −0.730422 | + | 23.5667i | −0.0323436 | + | 1.04355i | ||||
\(511\) | −8.40310 | −0.371731 | ||||||||
\(512\) | −22.6180 | + | 0.653333i | −0.999583 | + | 0.0288735i | ||||
\(513\) | 5.42570 | + | 16.6400i | 0.239551 | + | 0.734676i | ||||
\(514\) | −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 | ||||
\(518\) | −2.64813 | − | 14.7416i | −0.116352 | − | 0.647707i | ||||
\(519\) | −15.9272 | − | 2.51699i | −0.699126 | − | 0.110484i | ||||
\(520\) | 9.01454 | + | 2.82971i | 0.395314 | + | 0.124091i | ||||
\(521\) | − | 29.0118i | − | 1.27103i | −0.772089 | − | 0.635515i | \(-0.780788\pi\) | ||
0.772089 | − | 0.635515i | \(-0.219212\pi\) | |||||||
\(522\) | −1.55841 | + | 11.4112i | −0.0682097 | + | 0.499455i | ||||
\(523\) | −1.09850 | + | 1.09850i | −0.0480342 | + | 0.0480342i | −0.730716 | − | 0.682682i | \(-0.760814\pi\) |
0.682682 | + | 0.730716i | \(0.260814\pi\) | |||||||
\(524\) | 5.15348 | − | 1.91325i | 0.225131 | − | 0.0835809i | ||||
\(525\) | 7.23095 | − | 27.1037i | 0.315584 | − | 1.18290i | ||||
\(526\) | 20.8009 | + | 14.4657i | 0.906963 | + | 0.630735i | ||||
\(527\) | 19.7609 | + | 19.7609i | 0.860800 | + | 0.860800i | ||||
\(528\) | 3.62515 | − | 15.4016i | 0.157764 | − | 0.670269i | ||||
\(529\) | − | 4.20044i | − | 0.182628i | ||||||
\(530\) | −15.9743 | + | 20.5977i | −0.693880 | + | 0.894706i | ||||
\(531\) | 21.1556 | + | 6.85775i | 0.918074 | + | 0.297601i | ||||
\(532\) | 9.09477 | − | 19.8351i | 0.394308 | − | 0.859962i | ||||
\(533\) | −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 | ||||
\(537\) | 9.29412 | + | 12.7830i | 0.401071 | + | 0.551627i | ||||
\(538\) | 11.7738 | − | 2.11501i | 0.507603 | − | 0.0911844i | ||||
\(539\) | 7.97487i | 0.343502i | ||||||||
\(540\) | 13.4772 | + | 18.9306i | 0.579965 | + | 0.814641i | ||||
\(541\) | 1.84481i | 0.0793147i | 0.999213 | + | 0.0396574i | \(0.0126266\pi\) | ||||
−0.999213 | + | 0.0396574i | \(0.987373\pi\) | |||||||
\(542\) | 0.681040 | + | 3.79120i | 0.0292532 | + | 0.162846i | ||||
\(543\) | 2.99581 | + | 4.12039i | 0.128563 | + | 0.176823i | ||||
\(544\) | 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 | \(-0.0298368\pi\) |
−0.0935978 | + | 0.995610i | \(0.529837\pi\) | |||||||
\(548\) | −26.1581 | − | 11.9940i | −1.11742 | − | 0.512356i | ||||
\(549\) | 25.5999 | + | 8.29842i | 1.09258 | + | 0.354168i | ||||
\(550\) | 1.19007 | + | 16.1049i | 0.0507446 | + | 0.686713i | ||||
\(551\) | − | 9.14366i | − | 0.389533i | ||||||
\(552\) | 23.7607 | − | 9.39372i | 1.01132 | − | 0.399823i | ||||
\(553\) | 18.9839 | + | 18.9839i | 0.807279 | + | 0.807279i | ||||
\(554\) | −21.0668 | + | 30.2929i | −0.895041 | + | 1.28702i | ||||
\(555\) | −12.3883 | − | 2.62398i | −0.525855 | − | 0.111382i | ||||
\(556\) | 1.60697 | − | 0.596593i | 0.0681505 | − | 0.0253012i | ||||
\(557\) | 9.36550 | − | 9.36550i | 0.396829 | − | 0.396829i | −0.480284 | − | 0.877113i | \(-0.659466\pi\) |
0.877113 | + | 0.480284i | \(0.159466\pi\) | |||||||
\(558\) | 27.2897 | + | 3.72691i | 1.15527 | + | 0.157773i | ||||
\(559\) | 2.45884i | 0.103998i | ||||||||
\(560\) | 3.65292 | − | 28.7404i | 0.154364 | − | 1.21451i | ||||
\(561\) | −16.8192 | − | 2.65796i | −0.710107 | − | 0.112219i | ||||
\(562\) | 29.3333 | − | 5.26936i | 1.23735 | − | 0.222274i | ||||
\(563\) | 3.03352 | + | 3.03352i | 0.127848 | + | 0.127848i | 0.768135 | − | 0.640288i | \(-0.221185\pi\) |
−0.640288 | + | 0.768135i | \(0.721185\pi\) | |||||||
\(564\) | 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 | ||||
\(567\) | 28.7869 | − | 4.60008i | 1.20894 | − | 0.193185i | ||||
\(568\) | 17.9654 | − | 10.6042i | 0.753813 | − | 0.444944i | ||||
\(569\) | 23.6605 | 0.991898 | 0.495949 | − | 0.868352i | \(-0.334820\pi\) | ||||
0.495949 | + | 0.868352i | \(0.334820\pi\) | |||||||
\(570\) | −12.6350 | − | 13.4433i | −0.529223 | − | 0.563078i | ||||
\(571\) | − | 13.8475i | − | 0.579498i | −0.957103 | − | 0.289749i | \(-0.906428\pi\) | ||
0.957103 | − | 0.289749i | \(-0.0935718\pi\) | |||||||
\(572\) | −2.84398 | + | 6.20254i | −0.118913 | + | 0.259341i | ||||
\(573\) | −1.96823 | − | 2.70707i | −0.0822240 | − | 0.113090i | ||||
\(574\) | −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 | −0.842770 | − | 0.538274i | \(-0.819077\pi\) |
0.538274 | + | 0.842770i | \(0.319077\pi\) | |||||||
\(578\) | 2.13071 | − | 0.382755i | 0.0886260 | − | 0.0159205i | ||||
\(579\) | 14.6929 | + | 2.32193i | 0.610615 | + | 0.0964963i | ||||
\(580\) | −3.62813 | − | 11.5853i | −0.150650 | − | 0.481053i | ||||
\(581\) | 24.1834 | 1.00330 | ||||||||
\(582\) | −9.68514 | + | 0.203480i | −0.401462 | + | 0.00843453i | ||||
\(583\) | −13.3112 | − | 13.3112i | −0.551292 | − | 0.551292i | ||||
\(584\) | −1.83081 | + | 7.10557i | −0.0757594 | + | 0.294030i | ||||
\(585\) | −4.08575 | − | 9.15066i | −0.168925 | − | 0.378333i | ||||
\(586\) | −19.5788 | + | 28.1533i | −0.808795 | + | 1.16300i | ||||
\(587\) | −7.53359 | + | 7.53359i | −0.310944 | + | 0.310944i | −0.845275 | − | 0.534331i | \(-0.820564\pi\) |
0.534331 | + | 0.845275i | \(0.320564\pi\) | |||||||
\(588\) | −10.0740 | − | 6.69632i | −0.415444 | − | 0.276152i | ||||
\(589\) | −21.8670 | −0.901012 | ||||||||
\(590\) | −23.2572 | + | 2.94013i | −0.957484 | + | 0.121043i | ||||
\(591\) | −5.13661 | + | 32.5038i | −0.211292 | + | 1.33703i | ||||
\(592\) | −13.0423 | − | 0.972558i | −0.536033 | − | 0.0399719i | ||||
\(593\) | −18.0049 | + | 18.0049i | −0.739373 | + | 0.739373i | −0.972457 | − | 0.233084i | \(-0.925118\pi\) |
0.233084 | + | 0.972457i | \(0.425118\pi\) | |||||||
\(594\) | −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 | ||||
\(597\) | −18.8311 | − | 25.9000i | −0.770705 | − | 1.06002i | ||||
\(598\) | −10.8449 | + | 1.94816i | −0.443483 | + | 0.0796660i | ||||
\(599\) | 19.8681 | 0.811789 | 0.405895 | − | 0.913920i | \(-0.366960\pi\) | ||||
0.405895 | + | 0.913920i | \(0.366960\pi\) | |||||||
\(600\) | −21.3431 | − | 12.0196i | −0.871330 | − | 0.490697i | ||||
\(601\) | −16.4386 | −0.670546 | −0.335273 | − | 0.942121i | \(-0.608828\pi\) | ||||
−0.335273 | + | 0.942121i | \(0.608828\pi\) | |||||||
\(602\) | 7.42088 | − | 1.33307i | 0.302453 | − | 0.0543318i | ||||
\(603\) | −32.7391 | + | 16.7098i | −1.33324 | + | 0.680476i | ||||
\(604\) | −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 | −0.966673 | − | 0.256014i | \(-0.917591\pi\) |
0.256014 | + | 0.966673i | \(0.417591\pi\) | |||||||
\(608\) | −14.7909 | − | 12.0120i | −0.599849 | − | 0.487150i | ||||
\(609\) | −15.0432 | − | 2.37730i | −0.609581 | − | 0.0963329i | ||||
\(610\) | −28.1430 | + | 3.55779i | −1.13948 | + | 0.144051i | ||||
\(611\) | −3.88245 | −0.157067 | ||||||||
\(612\) | 17.4803 | − | 19.0144i | 0.706598 | − | 0.768612i | ||||
\(613\) | −24.2075 | + | 24.2075i | −0.977730 | + | 0.977730i | −0.999757 | − | 0.0220274i | \(-0.992988\pi\) |
0.0220274 | + | 0.999757i | \(0.492988\pi\) | |||||||
\(614\) | 3.63425 | − | 5.22586i | 0.146667 | − | 0.210899i | ||||
\(615\) | 22.8181 | + | 35.0819i | 0.920113 | + | 1.41464i | ||||
\(616\) | 20.2614 | + | 5.22053i | 0.816356 | + | 0.210341i | ||||
\(617\) | −3.33572 | − | 3.33572i | −0.134291 | − | 0.134291i | 0.636766 | − | 0.771057i | \(-0.280272\pi\) |
−0.771057 | + | 0.636766i | \(0.780272\pi\) | |||||||
\(618\) | −0.185109 | − | 8.81073i | −0.00744619 | − | 0.354419i | ||||
\(619\) | 46.6044 | 1.87319 | 0.936595 | − | 0.350413i | \(-0.113959\pi\) | ||||
0.936595 | + | 0.350413i | \(0.113959\pi\) | |||||||
\(620\) | −27.7061 | + | 8.67664i | −1.11270 | + | 0.348462i | ||||
\(621\) | −24.1590 | − | 12.2782i | −0.969468 | − | 0.492707i | ||||
\(622\) | −9.58304 | + | 1.72147i | −0.384245 | + | 0.0690247i | ||||
\(623\) | 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 | ||||
\(627\) | 10.7765 | − | 7.83524i | 0.430371 | − | 0.312909i | ||||
\(628\) | 4.12538 | + | 1.89156i | 0.164620 | + | 0.0754815i | ||||
\(629\) | 14.0748i | 0.561201i | ||||||||
\(630\) | −25.4020 | + | 17.2920i | −1.01204 | + | 0.688931i | ||||
\(631\) | −20.4082 | −0.812437 | −0.406219 | − | 0.913776i | \(-0.633153\pi\) | ||||
−0.406219 | + | 0.913776i | \(0.633153\pi\) | |||||||
\(632\) | 20.1887 | − | 11.9165i | 0.803062 | − | 0.474013i | ||||
\(633\) | −16.7759 | − | 23.0733i | −0.666782 | − | 0.917082i | ||||
\(634\) | 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 | ||||
\(638\) | 8.62940 | − | 1.55016i | 0.341641 | − | 0.0613715i | ||||
\(639\) | −21.0488 | − | 6.82314i | −0.832678 | − | 0.269919i | ||||
\(640\) | −23.5067 | − | 9.35063i | −0.929185 | − | 0.369616i | ||||
\(641\) | 13.1821i | 0.520663i | 0.965519 | + | 0.260331i | \(0.0838318\pi\) | ||||
−0.965519 | + | 0.260331i | \(0.916168\pi\) | |||||||
\(642\) | −17.8304 | + | 0.374609i | −0.703711 | + | 0.0147846i | ||||
\(643\) | 22.6851 | − | 22.6851i | 0.894614 | − | 0.894614i | −0.100339 | − | 0.994953i | \(-0.531993\pi\) |
0.994953 | + | 0.100339i | \(0.0319928\pi\) | |||||||
\(644\) | 11.7592 | + | 31.6743i | 0.463379 | + | 1.24814i | ||||
\(645\) | 1.32091 | − | 6.23627i | 0.0520106 | − | 0.245553i | ||||
\(646\) | −11.7076 | + | 16.8349i | −0.460630 | + | 0.662361i | ||||
\(647\) | −19.2111 | − | 19.2111i | −0.755268 | − | 0.755268i | 0.220189 | − | 0.975457i | \(-0.429332\pi\) |
−0.975457 | + | 0.220189i | \(0.929332\pi\) | |||||||
\(648\) | 2.38212 | − | 25.3441i | 0.0935786 | − | 0.995612i | ||||
\(649\) | − | 16.9299i | − | 0.664557i | ||||||
\(650\) | 7.99963 | + | 6.89872i | 0.313771 | + | 0.270590i | ||||
\(651\) | −5.68528 | + | 35.9756i | −0.222824 | + | 1.41000i | ||||
\(652\) | 11.6936 | − | 25.5029i | 0.457955 | − | 0.998772i | ||||
\(653\) | −6.30369 | − | 6.30369i | −0.246683 | − | 0.246683i | 0.572925 | − | 0.819608i | \(-0.305809\pi\) |
−0.819608 | + | 0.572925i | \(0.805809\pi\) | |||||||
\(654\) | 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 | ||||
\(657\) | 6.93204 | − | 3.53807i | 0.270444 | − | 0.138033i | ||||
\(658\) | 2.10488 | + | 11.7174i | 0.0820568 | + | 0.456792i | ||||
\(659\) | − | 33.0388i | − | 1.28701i | −0.765442 | − | 0.643505i | \(-0.777480\pi\) | ||
0.765442 | − | 0.643505i | \(-0.222520\pi\) | |||||||
\(660\) | 10.5451 | − | 14.2035i | 0.410469 | − | 0.552870i | ||||
\(661\) | − | 1.50452i | − | 0.0585192i | −0.999572 | − | 0.0292596i | \(-0.990685\pi\) | ||
0.999572 | − | 0.0292596i | \(-0.00931495\pi\) | |||||||
\(662\) | 30.7763 | − | 5.52857i | 1.19616 | − | 0.214874i | ||||
\(663\) | −9.00901 | + | 6.55017i | −0.349881 | + | 0.254388i | ||||
\(664\) | 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 | ||||
\(668\) | 2.64789 | + | 1.21411i | 0.102450 | + | 0.0469751i | ||||
\(669\) | −10.7166 | − | 1.69356i | −0.414328 | − | 0.0654768i | ||||
\(670\) | 23.7445 | − | 30.6167i | 0.917329 | − | 1.18283i | ||||
\(671\) | − | 20.4865i | − | 0.790873i | ||||||
\(672\) | −23.6077 | + | 21.2110i | −0.910687 | + | 0.818230i | ||||
\(673\) | 29.5487 | + | 29.5487i | 1.13902 | + | 1.13902i | 0.988627 | + | 0.150391i | \(0.0480532\pi\) |
0.150391 | + | 0.988627i | \(0.451947\pi\) | |||||||
\(674\) | −3.34624 | − | 2.32710i | −0.128892 | − | 0.0896365i | ||||
\(675\) | 5.44674 | + | 25.4034i | 0.209645 | + | 0.977778i | ||||
\(676\) | −7.49565 | − | 20.1900i | −0.288294 | − | 0.776540i | ||||
\(677\) | −16.5034 | + | 16.5034i | −0.634278 | + | 0.634278i | −0.949138 | − | 0.314860i | \(-0.898042\pi\) |
0.314860 | + | 0.949138i | \(0.398042\pi\) | |||||||
\(678\) | 46.0180 | − | 0.966816i | 1.76731 | − | 0.0371303i | ||||
\(679\) | − | 12.8102i | − | 0.491609i | ||||||
\(680\) | −8.15393 | + | 25.9758i | −0.312689 | + | 0.996128i | ||||
\(681\) | 3.86680 | − | 24.4686i | 0.148176 | − | 0.937637i | ||||
\(682\) | −3.70719 | − | 20.6371i | −0.141956 | − | 0.790236i | ||||
\(683\) | 1.06473 | + | 1.06473i | 0.0407406 | + | 0.0407406i | 0.727184 | − | 0.686443i | \(-0.240829\pi\) |
−0.686443 | + | 0.727184i | \(0.740829\pi\) | |||||||
\(684\) | 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 | ||||
\(687\) | −20.6379 | + | 15.0052i | −0.787384 | + | 0.572482i | ||||
\(688\) | 0.489584 | − | 6.56545i | 0.0186652 | − | 0.250306i | ||||
\(689\) | −12.3139 | −0.469124 | ||||||||
\(690\) | 28.5522 | + | 0.884943i | 1.08696 | + | 0.0336892i | ||||
\(691\) | − | 16.7696i | − | 0.637945i | −0.947764 | − | 0.318972i | \(-0.896662\pi\) | ||
0.947764 | − | 0.318972i | \(-0.103338\pi\) | |||||||
\(692\) | −16.9250 | − | 7.76043i | −0.643393 | − | 0.295007i | ||||
\(693\) | −10.0888 | − | 19.7666i | −0.383240 | − | 0.750872i | ||||
\(694\) | −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 | ||||
\(698\) | 9.22610 | + | 51.3596i | 0.349213 | + | 1.94399i | ||||
\(699\) | 2.26026 | − | 14.3026i | 0.0854908 | − | 0.540974i | ||||
\(700\) | 16.4836 | − | 27.8834i | 0.623023 | − | 1.05389i | ||||
\(701\) | −40.5328 | −1.53090 | −0.765451 | − | 0.643495i | \(-0.777484\pi\) | ||||
−0.765451 | + | 0.643495i | \(0.777484\pi\) | |||||||
\(702\) | −3.16505 | + | 10.5117i | −0.119457 | + | 0.396739i | ||||
\(703\) | −7.78743 | − | 7.78743i | −0.293709 | − | 0.293709i | ||||
\(704\) | 8.82884 | − | 15.9954i | 0.332749 | − | 0.602850i | ||||
\(705\) | 9.84692 | + | 2.08568i | 0.370856 | + | 0.0785512i | ||||
\(706\) | 3.28646 | + | 2.28553i | 0.123688 | + | 0.0860169i | ||||
\(707\) | 20.4820 | − | 20.4820i | 0.770306 | − | 0.770306i | ||||
\(708\) | 21.3861 | + | 14.2157i | 0.803739 | + | 0.534257i | ||||
\(709\) | 22.2655 | 0.836199 | 0.418099 | − | 0.908401i | \(-0.362696\pi\) | ||||
0.418099 | + | 0.908401i | \(0.362696\pi\) | |||||||
\(710\) | 23.1398 | − | 2.92530i | 0.868422 | − | 0.109784i | ||||
\(711\) | −23.6536 | − | 7.66751i | −0.887079 | − | 0.287554i | ||||
\(712\) | −16.5786 | − | 28.0871i | −0.621310 | − | 1.05261i | ||||
\(713\) | 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 | ||||
\(717\) | −34.2924 | + | 24.9329i | −1.28067 | + | 0.931137i | ||||
\(718\) | 3.24017 | + | 18.0373i | 0.120922 | + | 0.673146i | ||||
\(719\) | 36.9961 | 1.37972 | 0.689861 | − | 0.723942i | \(-0.257672\pi\) | ||||
0.689861 | + | 0.723942i | \(0.257672\pi\) | |||||||
\(720\) | 9.08754 | + | 25.2471i | 0.338672 | + | 0.940904i | ||||
\(721\) | 11.6536 | 0.434003 | ||||||||
\(722\) | 1.91395 | + | 10.6545i | 0.0712297 | + | 0.396520i | ||||
\(723\) | −10.0872 | + | 7.33405i | −0.375145 | + | 0.272756i | ||||
\(724\) | 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 | −0.999172 | − | 0.0406756i | \(-0.987049\pi\) |
0.0406756 | + | 0.999172i | \(0.487049\pi\) | |||||||
\(728\) | 11.7865 | − | 6.95705i | 0.436836 | − | 0.257846i | ||||
\(729\) | −21.8106 | + | 15.9153i | −0.807800 | + | 0.589456i | ||||
\(730\) | −5.02756 | + | 6.48266i | −0.186078 | + | 0.239934i | ||||
\(731\) | −7.08525 | −0.262058 | ||||||||
\(732\) | 25.8789 | + | 17.2021i | 0.956510 | + | 0.635807i | ||||
\(733\) | 37.3652 | − | 37.3652i | 1.38012 | − | 1.38012i | 0.535719 | − | 0.844397i | \(-0.320041\pi\) |
0.844397 | − | 0.535719i | \(-0.179959\pi\) | |||||||
\(734\) | −33.4345 | − | 23.2515i | −1.23409 | − | 0.858230i | ||||
\(735\) | −7.37396 | − | 11.3372i | −0.271993 | − | 0.418178i | ||||
\(736\) | 29.3455 | − | 3.04250i | 1.08169 | − | 0.112148i | ||||
\(737\) | 19.7859 | + | 19.7859i | 0.728824 | + | 0.728824i | ||||
\(738\) | 6.20327 | − | 45.4225i | 0.228345 | − | 1.67202i | ||||
\(739\) | −1.28705 | −0.0473450 | −0.0236725 | − | 0.999720i | \(-0.507536\pi\) | ||||
−0.0236725 | + | 0.999720i | \(0.507536\pi\) | |||||||
\(740\) | −12.9569 | − | 6.77691i | −0.476305 | − | 0.249124i | ||||
\(741\) | 1.36044 | − | 8.60870i | 0.0499772 | − | 0.316248i | ||||
\(742\) | 6.67605 | + | 37.1641i | 0.245085 | + | 1.36434i | ||||
\(743\) | −7.11771 | + | 7.11771i | −0.261123 | + | 0.261123i | −0.825510 | − | 0.564387i | \(-0.809113\pi\) |
0.564387 | + | 0.825510i | \(0.309113\pi\) | |||||||
\(744\) | 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 | ||||
\(747\) | −19.9498 | + | 10.1823i | −0.729925 | + | 0.372549i | ||||
\(748\) | −17.8729 | − | 8.19506i | −0.653499 | − | 0.299641i | ||||
\(749\) | − | 23.5836i | − | 0.861727i | ||||||
\(750\) | −16.5832 | − | 21.7945i | −0.605531 | − | 0.795821i | ||||
\(751\) | −24.0090 | −0.876102 | −0.438051 | − | 0.898950i | \(-0.644331\pi\) | ||||
−0.438051 | + | 0.898950i | \(0.644331\pi\) | |||||||
\(752\) | 10.3667 | + | 0.773042i | 0.378034 | + | 0.0281899i | ||||
\(753\) | −24.6207 | + | 17.9009i | −0.897227 | + | 0.652346i | ||||
\(754\) | 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 | \(-0.206973\pi\) |
−0.605365 | + | 0.795948i | \(0.706973\pi\) | |||||||
\(758\) | 3.26210 | + | 18.1594i | 0.118485 | + | 0.659579i | ||||
\(759\) | −3.22025 | + | 20.3773i | −0.116888 | + | 0.739649i | ||||
\(760\) | −9.86063 | − | 18.8836i | −0.357683 | − | 0.684979i | ||||
\(761\) | − | 41.1375i | − | 1.49123i | −0.666376 | − | 0.745616i | \(-0.732155\pi\) | ||
0.666376 | − | 0.745616i | \(-0.267845\pi\) | |||||||
\(762\) | 24.8100 | − | 0.521247i | 0.898772 | − | 0.0188828i | ||||
\(763\) | −3.21866 | + | 3.21866i | −0.116523 | + | 0.116523i | ||||
\(764\) | −1.34510 | − | 3.62311i | −0.0486639 | − | 0.131080i | ||||
\(765\) | 26.3681 | − | 11.7733i | 0.953339 | − | 0.425664i | ||||
\(766\) | 18.2421 | + | 12.6862i | 0.659115 | + | 0.458372i | ||||
\(767\) | −7.83080 | − | 7.83080i | −0.282754 | − | 0.282754i | ||||
\(768\) | 12.7923 | + | 24.5837i | 0.461601 | + | 0.887088i | ||||
\(769\) | − | 43.5085i | − | 1.56896i | −0.620156 | − | 0.784478i | \(-0.712931\pi\) | ||
0.620156 | − | 0.784478i | \(-0.287069\pi\) | |||||||
\(770\) | 18.4852 | + | 14.3360i | 0.666161 | + | 0.516634i | ||||
\(771\) | 4.24865 | + | 0.671420i | 0.153012 | + | 0.0241806i | ||||
\(772\) | 15.6134 | + | 7.15902i | 0.561938 | + | 0.257659i | ||||
\(773\) | 34.3280 | + | 34.3280i | 1.23469 | + | 1.23469i | 0.962141 | + | 0.272551i | \(0.0878672\pi\) |
0.272551 | + | 0.962141i | \(0.412133\pi\) | |||||||
\(774\) | −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 | ||||
\(777\) | −14.8366 | + | 10.7872i | −0.532260 | + | 0.386990i | ||||
\(778\) | −19.7900 | + | 3.55501i | −0.709505 | + | 0.127453i | ||||
\(779\) | 36.3965i | 1.30404i | ||||||||
\(780\) | −1.69214 | − | 11.4473i | −0.0605884 | − | 0.409879i | ||||
\(781\) | 16.8445i | 0.602742i | ||||||||
\(782\) | −5.61370 | − | 31.2502i | −0.200746 | − | 1.11751i | ||||
\(783\) | 13.4106 | − | 4.37271i | 0.479257 | − | 0.156268i | ||||
\(784\) | −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 | \(-0.308565\pi\) |
−0.824539 | + | 0.565805i | \(0.808565\pi\) | |||||||
\(788\) | −15.8373 | + | 34.5401i | −0.564180 | + | 1.23044i | ||||
\(789\) | 4.84370 | − | 30.6503i | 0.172440 | − | 1.09118i | ||||
\(790\) | 26.0034 | − | 3.28730i | 0.925159 | − | 0.116957i | ||||
\(791\) | 60.8662i | 2.16415i | ||||||||
\(792\) | −18.9125 | + | 4.22432i | −0.672026 | + | 0.150105i | ||||
\(793\) | −9.47588 | − | 9.47588i | −0.336499 | − | 0.336499i | ||||
\(794\) | 27.7806 | − | 39.9470i | 0.985896 | − | 1.41766i | ||||
\(795\) | 31.2315 | + | 6.61515i | 1.10767 | + | 0.234615i | ||||
\(796\) | −12.8693 | − | 34.6642i | −0.456139 | − | 1.22864i | ||||
\(797\) | 8.85790 | − | 8.85790i | 0.313763 | − | 0.313763i | −0.532602 | − | 0.846366i | \(-0.678786\pi\) |
0.846366 | + | 0.532602i | \(0.178786\pi\) | |||||||
\(798\) | −26.7190 | + | 0.561354i | −0.945843 | + | 0.0198717i | ||||
\(799\) | − | 11.1874i | − | 0.395783i | ||||||
\(800\) | −19.9866 | − | 20.0134i | −0.706632 | − | 0.707581i | ||||
\(801\) | −10.6673 | + | 32.9077i | −0.376910 | + | 1.16273i | ||||
\(802\) | 29.6750 | − | 5.33074i | 1.04786 | − | 0.188235i | ||||
\(803\) | −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 | ||||
\(807\) | −8.61553 | − | 11.8497i | −0.303281 | − | 0.417128i | ||||
\(808\) | −12.8569 | − | 21.7818i | −0.452304 | − | 0.766283i | ||||
\(809\) | −2.43744 | −0.0856959 | −0.0428480 | − | 0.999082i | \(-0.513643\pi\) | ||||
−0.0428480 | + | 0.999082i | \(0.513643\pi\) | |||||||
\(810\) | 13.6744 | − | 24.9602i | 0.480469 | − | 0.877012i | ||||
\(811\) | 1.17131i | 0.0411302i | 0.999789 | + | 0.0205651i | \(0.00654654\pi\) | ||||
−0.999789 | + | 0.0205651i | \(0.993453\pi\) | |||||||
\(812\) | −15.9857 | − | 7.32971i | −0.560987 | − | 0.257223i | ||||
\(813\) | 3.81564 | − | 2.77423i | 0.133820 | − | 0.0972967i | ||||
\(814\) | 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 | ||||
\(818\) | −1.25136 | + | 0.224792i | −0.0437529 | + | 0.00785965i | ||||
\(819\) | −13.8094 | − | 4.47642i | −0.482539 | − | 0.156419i | ||||
\(820\) | 14.4418 | + | 46.1154i | 0.504331 | + | 1.61042i | ||||
\(821\) | −43.2743 | −1.51028 | −0.755142 | − | 0.655562i | \(-0.772432\pi\) | ||||
−0.755142 | + | 0.655562i | \(0.772432\pi\) | |||||||
\(822\) | 0.740300 | + | 35.2364i | 0.0258209 | + | 1.22901i | ||||
\(823\) | 33.8787 | + | 33.8787i | 1.18094 | + | 1.18094i | 0.979501 | + | 0.201437i | \(0.0645611\pi\) |
0.201437 | + | 0.979501i | \(0.435439\pi\) | |||||||
\(824\) | 2.53901 | − | 9.85415i | 0.0884505 | − | 0.343286i | ||||
\(825\) | 17.1176 | − | 9.90761i | 0.595959 | − | 0.344939i | ||||
\(826\) | −19.3882 | + | 27.8792i | −0.674603 | + | 0.970042i | ||||
\(827\) | −10.2673 | + | 10.2673i | −0.357030 | + | 0.357030i | −0.862717 | − | 0.505687i | \(-0.831239\pi\) |
0.505687 | + | 0.862717i | \(0.331239\pi\) | |||||||
\(828\) | −23.0369 | − | 21.1782i | −0.800588 | − | 0.735994i | ||||
\(829\) | −31.4237 | −1.09139 | −0.545695 | − | 0.837984i | \(-0.683734\pi\) | ||||
−0.545695 | + | 0.837984i | \(0.683734\pi\) | |||||||
\(830\) | 14.4689 | − | 18.6565i | 0.502222 | − | 0.647578i | ||||
\(831\) | 44.6368 | + | 7.05400i | 1.54843 | + | 0.244701i | ||||
\(832\) | −3.31485 | − | 11.4823i | −0.114922 | − | 0.398076i | ||||
\(833\) | −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 | ||||
\(837\) | −10.4573 | − | 32.0714i | −0.361457 | − | 1.10855i | ||||
\(838\) | −44.2235 | + | 7.94419i | −1.52768 | + | 0.274428i | ||||
\(839\) | 2.39839 | 0.0828015 | 0.0414007 | − | 0.999143i | \(-0.486818\pi\) | ||||
0.0414007 | + | 0.999143i | \(0.486818\pi\) | |||||||
\(840\) | −33.6311 | + | 11.3132i | −1.16038 | + | 0.390341i | ||||
\(841\) | 21.6309 | 0.745893 | ||||||||
\(842\) | −29.7140 | + | 5.33774i | −1.02401 | + | 0.183951i | ||||
\(843\) | −21.4649 | − | 29.5224i | −0.739289 | − | 1.01681i | ||||
\(844\) | −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 | ||||
\(848\) | 32.8800 | + | 2.45186i | 1.12911 | + | 0.0841971i | ||||
\(849\) | 1.00729 | − | 6.37397i | 0.0345700 | − | 0.218754i | ||||
\(850\) | −19.8790 | + | 23.0513i | −0.681844 | + | 0.790654i | ||||
\(851\) | 17.0524 | 0.584548 | ||||||||
\(852\) | −21.2782 | − | 14.1439i | −0.728978 | − | 0.484562i | ||||
\(853\) | −21.9385 | + | 21.9385i | −0.751159 | + | 0.751159i | −0.974695 | − | 0.223537i | \(-0.928240\pi\) |
0.223537 | + | 0.974695i | \(0.428240\pi\) | |||||||
\(854\) | −23.4613 | + | 33.7360i | −0.802828 | + | 1.15442i | ||||
\(855\) | −8.07511 | + | 21.1031i | −0.276163 | + | 0.721711i | ||||
\(856\) | −19.9420 | − | 5.13824i | −0.681605 | − | 0.175621i | ||||
\(857\) | −30.2305 | − | 30.2305i | −1.03265 | − | 1.03265i | −0.999449 | − | 0.0332059i | \(-0.989428\pi\) |
−0.0332059 | − | 0.999449i | \(-0.510572\pi\) | |||||||
\(858\) | 8.35517 | − | 0.175538i | 0.285241 | − | 0.00599277i | ||||
\(859\) | −45.9867 | −1.56905 | −0.784523 | − | 0.620099i | \(-0.787092\pi\) | ||||
−0.784523 | + | 0.620099i | \(0.787092\pi\) | |||||||
\(860\) | 3.41149 | − | 6.52249i | 0.116331 | − | 0.222415i | ||||
\(861\) | 59.8797 | + | 9.46286i | 2.04069 | + | 0.322494i | ||||
\(862\) | −8.24654 | + | 1.48139i | −0.280878 | + | 0.0504562i | ||||
\(863\) | −12.2703 | + | 12.2703i | −0.417687 | + | 0.417687i | −0.884406 | − | 0.466719i | \(-0.845436\pi\) |
0.466719 | + | 0.884406i | \(0.345436\pi\) | |||||||
\(864\) | 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 | ||||
\(867\) | −1.55916 | − | 2.14445i | −0.0529520 | − | 0.0728294i | ||||
\(868\) | −17.5289 | + | 38.2295i | −0.594971 | + | 1.29759i | ||||
\(869\) | 18.9290i | 0.642121i | ||||||||
\(870\) | −10.8343 | + | 10.1829i | −0.367317 | + | 0.345233i | ||||
\(871\) | 18.3037 | 0.620196 | ||||||||
\(872\) | 2.02040 | + | 3.42292i | 0.0684195 | + | 0.115915i | ||||
\(873\) | 5.39363 | + | 10.5676i | 0.182547 | + | 0.357658i | ||||
\(874\) | 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 | \(-0.0603449\pi\) |
−0.188446 | + | 0.982084i | \(0.560345\pi\) | |||||||
\(878\) | −22.5972 | + | 4.05931i | −0.762620 | + | 0.136995i | ||||
\(879\) | 41.4841 | + | 6.55579i | 1.39922 | + | 0.221121i | ||||
\(880\) | 16.1498 | − | 12.5075i | 0.544410 | − | 0.421626i | ||||
\(881\) | 22.0210i | 0.741907i | 0.928652 | + | 0.370953i | \(0.120969\pi\) | ||||
−0.928652 | + | 0.370953i | \(0.879031\pi\) | |||||||
\(882\) | −2.00467 | + | 14.6789i | −0.0675008 | + | 0.494264i | ||||
\(883\) | 3.98395 | − | 3.98395i | 0.134070 | − | 0.134070i | −0.636887 | − | 0.770957i | \(-0.719778\pi\) |
0.770957 | + | 0.636887i | \(0.219778\pi\) | |||||||
\(884\) | −12.0575 | + | 4.47642i | −0.405539 | + | 0.150558i | ||||
\(885\) | 15.6542 | + | 24.0678i | 0.526211 | + | 0.809029i | ||||
\(886\) | 32.6322 | − | 46.9234i | 1.09630 | − | 1.57642i | ||||
\(887\) | −10.9002 | − | 10.9002i | −0.365994 | − | 0.365994i | 0.500020 | − | 0.866014i | \(-0.333326\pi\) |
−0.866014 | + | 0.500020i | \(0.833326\pi\) | |||||||
\(888\) | 5.88907 | + | 14.8959i | 0.197624 | + | 0.499874i | ||||
\(889\) | 32.8152i | 1.10059i | ||||||||
\(890\) | −4.57340 | − | 36.1767i | −0.153301 | − | 1.21265i | ||||
\(891\) | 16.6452 | + | 12.0584i | 0.557635 | + | 0.403972i | ||||
\(892\) | −11.3880 | − | 5.22161i | −0.381299 | − | 0.174832i | ||||
\(893\) | 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 | ||||
\(897\) | 7.93586 | + | 10.9149i | 0.264971 | + | 0.364437i | ||||
\(898\) | 0.702708 | + | 3.91182i | 0.0234497 | + | 0.130539i | ||||
\(899\) | 17.6232i | 0.587765i | ||||||||
\(900\) | −1.85785 | + | 29.9424i | −0.0619282 | + | 0.998081i | ||||
\(901\) | − | 35.4832i | − | 1.18212i | ||||||
\(902\) | −34.3495 | + | 6.17044i | −1.14371 | + | 0.205453i | ||||
\(903\) | −5.43028 | − | 7.46873i | −0.180708 | − | 0.248544i | ||||
\(904\) | 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 | \(-0.252994\pi\) |
−0.713727 | + | 0.700424i | \(0.752994\pi\) | |||||||
\(908\) | 11.9222 | − | 26.0015i | 0.395651 | − | 0.862891i | ||||
\(909\) | −8.27258 | + | 25.5202i | −0.274384 | + | 0.846452i | ||||
\(910\) | 15.1812 | − | 1.91918i | 0.503252 | − | 0.0636203i | ||||
\(911\) | 17.8858i | 0.592583i | 0.955098 | + | 0.296291i | \(0.0957499\pi\) | ||||
−0.955098 | + | 0.296291i | \(0.904250\pi\) | |||||||
\(912\) | −5.34668 | + | 22.7156i | −0.177046 | + | 0.752189i | ||||
\(913\) | 12.0567 | + | 12.0567i | 0.399019 | + | 0.399019i | ||||
\(914\) | 47.7926 | + | 33.2367i | 1.58084 | + | 1.09937i | ||||
\(915\) | 18.9429 | + | 29.1239i | 0.626231 | + | 0.962806i | ||||
\(916\) | −27.6215 | + | 10.2546i | −0.912638 | + | 0.338821i | ||||
\(917\) | 6.29539 | − | 6.29539i | 0.207892 | − | 0.207892i | ||||
\(918\) | −30.2900 | − | 9.12025i | −0.999718 | − | 0.301013i | ||||
\(919\) | − | 26.4904i | − | 0.873838i | −0.899501 | − | 0.436919i | \(-0.856070\pi\) | ||
0.899501 | − | 0.436919i | \(-0.143930\pi\) | |||||||
\(920\) | 31.4710 | + | 9.87889i | 1.03757 | + | 0.325698i | ||||
\(921\) | −7.70035 | − | 1.21690i | −0.253735 | − | 0.0400981i | ||||
\(922\) | −6.90359 | − | 38.4307i | −0.227358 | − | 1.26565i | ||||
\(923\) | 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 | ||||
\(927\) | −9.61350 | + | 4.90667i | −0.315749 | + | 0.161156i | ||||
\(928\) | −9.68077 | + | 11.9203i | −0.317787 | + | 0.391304i | ||||
\(929\) | 1.35917 | 0.0445930 | 0.0222965 | − | 0.999751i | \(-0.492902\pi\) | ||||
0.0222965 | + | 0.999751i | \(0.492902\pi\) | |||||||
\(930\) | 24.3523 | + | 25.9101i | 0.798543 | + | 0.849626i | ||||
\(931\) | − | 11.7620i | − | 0.385485i | ||||||
\(932\) | 6.96886 | − | 15.1987i | 0.228273 | − | 0.497849i | ||||
\(933\) | 7.01246 | + | 9.64483i | 0.229578 | + | 0.315757i | ||||
\(934\) | −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 | −0.977193 | − | 0.212352i | \(-0.931888\pi\) |
0.212352 | + | 0.977193i | \(0.431888\pi\) | |||||||
\(938\) | −9.92339 | − | 55.2413i | −0.324010 | − | 1.80369i | ||||
\(939\) | −5.32388 | − | 0.841340i | −0.173738 | − | 0.0274561i | ||||
\(940\) | 10.2989 | + | 5.38666i | 0.335911 | + | 0.175694i | ||||
\(941\) | 24.1656 | 0.787776 | 0.393888 | − | 0.919159i | \(-0.371130\pi\) | ||||
0.393888 | + | 0.919159i | \(0.371130\pi\) | |||||||
\(942\) | −0.116752 | − | 5.55711i | −0.00380400 | − | 0.181060i | ||||
\(943\) | −39.8492 | − | 39.8492i | −1.29767 | − | 1.29767i | ||||
\(944\) | 19.3502 | + | 22.4686i | 0.629795 | + | 0.731290i | ||||
\(945\) | 32.6195 | + | 18.7719i | 1.06111 | + | 0.610650i | ||||
\(946\) | 4.36431 | + | 3.03510i | 0.141896 | + | 0.0986795i | ||||
\(947\) | −19.2733 | + | 19.2733i | −0.626298 | + | 0.626298i | −0.947135 | − | 0.320837i | \(-0.896036\pi\) |
0.320837 | + | 0.947135i | \(0.396036\pi\) | |||||||
\(948\) | −23.9113 | − | 15.8942i | −0.776604 | − | 0.516220i | ||||
\(949\) | −3.87554 | −0.125805 | ||||||||
\(950\) | −1.75521 | − | 23.7528i | −0.0569466 | − | 0.770643i | ||||
\(951\) | 4.69076 | − | 29.6825i | 0.152108 | − | 0.962521i | ||||
\(952\) | 20.0471 | + | 33.9633i | 0.649730 | + | 1.10076i | ||||
\(953\) | −0.681413 | + | 0.681413i | −0.0220731 | + | 0.0220731i | −0.718057 | − | 0.695984i | \(-0.754968\pi\) |
0.695984 | + | 0.718057i | \(0.254968\pi\) | |||||||
\(954\) | −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 | ||||
\(957\) | −6.31462 | − | 8.68504i | −0.204123 | − | 0.280747i | ||||
\(958\) | 9.44635 | + | 52.5857i | 0.305198 | + | 1.69897i | ||||
\(959\) | −46.6058 | −1.50498 | ||||||||
\(960\) | 2.23897 | + | 30.9029i | 0.0722626 | + | 0.997386i | ||||
\(961\) | 11.1456 | 0.359534 | ||||||||
\(962\) | −1.22133 | − | 6.79886i | −0.0393772 | − | 0.219204i | ||||
\(963\) | 9.92972 | + | 19.4550i | 0.319981 | + | 0.626929i | ||||
\(964\) | −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 | −0.175233 | − | 0.984527i | \(-0.556068\pi\) |
0.984527 | + | 0.175233i | \(0.0560679\pi\) | |||||||
\(968\) | −8.31631 | − | 14.0893i | −0.267296 | − | 0.452847i | ||||
\(969\) | 24.8064 | + | 3.92018i | 0.796896 | + | 0.125934i | ||||
\(970\) | −9.88252 | − | 7.66428i | −0.317309 | − | 0.246085i | ||||
\(971\) | 33.6303 | 1.07925 | 0.539623 | − | 0.841907i | \(-0.318567\pi\) | ||||
0.539623 | + | 0.841907i | \(0.318567\pi\) | |||||||
\(972\) | −29.2089 | + | 10.9013i | −0.936877 | + | 0.349658i | ||||
\(973\) | 1.96304 | − | 1.96304i | 0.0629321 | − | 0.0629321i | ||||
\(974\) | 27.2644 | + | 18.9607i | 0.873609 | + | 0.607540i | ||||
\(975\) | 3.33494 | − | 12.5003i | 0.106803 | − | 0.400331i | ||||
\(976\) | 23.4152 | + | 27.1888i | 0.749503 | + | 0.870291i | ||||
\(977\) | −7.94992 | − | 7.94992i | −0.254341 | − | 0.254341i | 0.568407 | − | 0.822748i | \(-0.307560\pi\) |
−0.822748 | + | 0.568407i | \(0.807560\pi\) | |||||||
\(978\) | −34.3539 | + | 0.721759i | −1.09852 | + | 0.0230793i | ||||
\(979\) | 26.3346 | 0.841657 | ||||||||
\(980\) | −4.66708 | − | 14.9028i | −0.149084 | − | 0.476053i | ||||
\(981\) | 1.30000 | − | 4.01039i | 0.0415058 | − | 0.128042i | ||||
\(982\) | 1.57992 | + | 8.79505i | 0.0504172 | + | 0.280661i | ||||
\(983\) | −13.3438 | + | 13.3438i | −0.425602 | + | 0.425602i | −0.887127 | − | 0.461525i | \(-0.847302\pi\) |
0.461525 | + | 0.887127i | \(0.347302\pi\) | |||||||
\(984\) | 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 | ||||
\(987\) | 11.7929 | − | 8.57429i | 0.375374 | − | 0.272923i | ||||
\(988\) | 4.19454 | − | 9.14803i | 0.133446 | − | 0.291038i | ||||
\(989\) | 8.58414i | 0.272960i | ||||||||
\(990\) | −21.2852 | − | 4.04325i | −0.676489 | − | 0.128503i | ||||
\(991\) | 15.8549 | 0.503648 | 0.251824 | − | 0.967773i | \(-0.418970\pi\) | ||||
0.251824 | + | 0.967773i | \(0.418970\pi\) | |||||||
\(992\) | 28.5074 | + | 23.1514i | 0.905109 | + | 0.735059i | ||||
\(993\) | −22.5208 | − | 30.9747i | −0.714675 | − | 0.982954i | ||||
\(994\) | 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 | \(-0.240559\pi\) |
−0.685827 | + | 0.727765i | \(0.740559\pi\) | |||||||
\(998\) | 7.39433 | + | 41.1626i | 0.234063 | + | 1.30298i | ||||
\(999\) | 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.53.7 | yes | 32 | |
3.2 | odd | 2 | inner | 120.2.w.c.53.10 | yes | 32 | |
4.3 | odd | 2 | 480.2.bi.c.113.13 | 32 | |||
5.2 | odd | 4 | inner | 120.2.w.c.77.15 | yes | 32 | |
5.3 | odd | 4 | 600.2.w.j.557.2 | 32 | |||
5.4 | even | 2 | 600.2.w.j.293.10 | 32 | |||
8.3 | odd | 2 | 480.2.bi.c.113.4 | 32 | |||
8.5 | even | 2 | inner | 120.2.w.c.53.2 | ✓ | 32 | |
12.11 | even | 2 | 480.2.bi.c.113.12 | 32 | |||
15.2 | even | 4 | inner | 120.2.w.c.77.2 | yes | 32 | |
15.8 | even | 4 | 600.2.w.j.557.15 | 32 | |||
15.14 | odd | 2 | 600.2.w.j.293.7 | 32 | |||
20.7 | even | 4 | 480.2.bi.c.17.5 | 32 | |||
24.5 | odd | 2 | inner | 120.2.w.c.53.15 | yes | 32 | |
24.11 | even | 2 | 480.2.bi.c.113.5 | 32 | |||
40.13 | odd | 4 | 600.2.w.j.557.7 | 32 | |||
40.27 | even | 4 | 480.2.bi.c.17.12 | 32 | |||
40.29 | even | 2 | 600.2.w.j.293.15 | 32 | |||
40.37 | odd | 4 | inner | 120.2.w.c.77.10 | yes | 32 | |
60.47 | odd | 4 | 480.2.bi.c.17.4 | 32 | |||
120.29 | odd | 2 | 600.2.w.j.293.2 | 32 | |||
120.53 | even | 4 | 600.2.w.j.557.10 | 32 | |||
120.77 | even | 4 | inner | 120.2.w.c.77.7 | yes | 32 | |
120.107 | odd | 4 | 480.2.bi.c.17.13 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
120.2.w.c.53.2 | ✓ | 32 | 8.5 | even | 2 | inner | |
120.2.w.c.53.7 | yes | 32 | 1.1 | even | 1 | trivial | |
120.2.w.c.53.10 | yes | 32 | 3.2 | odd | 2 | inner | |
120.2.w.c.53.15 | yes | 32 | 24.5 | odd | 2 | inner | |
120.2.w.c.77.2 | yes | 32 | 15.2 | even | 4 | inner | |
120.2.w.c.77.7 | yes | 32 | 120.77 | even | 4 | inner | |
120.2.w.c.77.10 | yes | 32 | 40.37 | odd | 4 | inner | |
120.2.w.c.77.15 | yes | 32 | 5.2 | odd | 4 | inner | |
480.2.bi.c.17.4 | 32 | 60.47 | odd | 4 | |||
480.2.bi.c.17.5 | 32 | 20.7 | even | 4 | |||
480.2.bi.c.17.12 | 32 | 40.27 | even | 4 | |||
480.2.bi.c.17.13 | 32 | 120.107 | odd | 4 | |||
480.2.bi.c.113.4 | 32 | 8.3 | odd | 2 | |||
480.2.bi.c.113.5 | 32 | 24.11 | even | 2 | |||
480.2.bi.c.113.12 | 32 | 12.11 | even | 2 | |||
480.2.bi.c.113.13 | 32 | 4.3 | odd | 2 | |||
600.2.w.j.293.2 | 32 | 120.29 | odd | 2 | |||
600.2.w.j.293.7 | 32 | 15.14 | odd | 2 | |||
600.2.w.j.293.10 | 32 | 5.4 | even | 2 | |||
600.2.w.j.293.15 | 32 | 40.29 | even | 2 | |||
600.2.w.j.557.2 | 32 | 5.3 | odd | 4 | |||
600.2.w.j.557.7 | 32 | 40.13 | odd | 4 | |||
600.2.w.j.557.10 | 32 | 120.53 | even | 4 | |||
600.2.w.j.557.15 | 32 | 15.8 | even | 4 |