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 | 77.10 | ||
Character | \(\chi\) | \(=\) | 120.77 |
Dual form | 120.2.w.c.53.10 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.250043 | − | 1.39193i | 0.176807 | − | 0.984246i | ||||
\(3\) | −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 | ||||
\(6\) | −2.20465 | + | 1.06748i | −0.900046 | + | 0.435795i | ||||
\(7\) | −2.29041 | − | 2.29041i | −0.865694 | − | 0.865694i | 0.126298 | − | 0.991992i | \(-0.459690\pi\) |
−0.991992 | + | 0.126298i | \(0.959690\pi\) | |||||||
\(8\) | −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 | \(-0.388119\pi\) | ||||
0.344293 | + | 0.938862i | \(0.388119\pi\) | |||||||
\(12\) | 0.934597 | + | 3.33565i | 0.269795 | + | 0.962918i | ||||
\(13\) | −1.05635 | − | 1.05635i | −0.292977 | − | 0.292977i | 0.545278 | − | 0.838255i | \(-0.316424\pi\) |
−0.838255 | + | 0.545278i | \(0.816424\pi\) | |||||||
\(14\) | −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 | \(0.0751764\pi\) | |||||||
\(18\) | 3.74100 | + | 2.00123i | 0.881762 | + | 0.471695i | ||||
\(19\) | 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 | \(-0.0670065\pi\) |
−0.208956 | + | 0.977925i | \(0.567006\pi\) | |||||||
\(24\) | 4.87669 | − | 0.466842i | 0.995449 | − | 0.0952936i | ||||
\(25\) | 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 | ||||
\(28\) | 2.70010 | + | 5.88875i | 0.510270 | + | 1.11287i | ||||
\(29\) | − | 2.71461i | − | 0.504091i | −0.967715 | − | 0.252045i | \(-0.918897\pi\) | ||
0.967715 | − | 0.252045i | \(-0.0811032\pi\) | |||||||
\(30\) | −4.79905 | + | 2.63991i | −0.876183 | + | 0.481979i | ||||
\(31\) | −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 | ||||
\(33\) | −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 | ||||
\(36\) | 3.72099 | − | 4.70683i | 0.620165 | − | 0.784471i | ||||
\(37\) | −2.31197 | + | 2.31197i | −0.380085 | + | 0.380085i | −0.871133 | − | 0.491048i | \(-0.836614\pi\) |
0.491048 | + | 0.871133i | \(0.336614\pi\) | |||||||
\(38\) | 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 | \(0.680330\pi\) | |||||||
\(42\) | 7.49452 | + | 2.60460i | 1.15643 | + | 0.401899i | ||||
\(43\) | 1.16384 | + | 1.16384i | 0.177484 | + | 0.177484i | 0.790258 | − | 0.612774i | \(-0.209946\pi\) |
−0.612774 | + | 0.790258i | \(0.709946\pi\) | |||||||
\(44\) | −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 | \(0.310700\pi\) | |||||||
\(48\) | 0.569569 | − | 6.90475i | 0.0822102 | − | 0.996615i | ||||
\(49\) | 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 | \(-0.941556\pi\) |
0.182577 | + | 0.983192i | \(0.441556\pi\) | |||||||
\(54\) | −1.00688 | − | 7.27916i | −0.137019 | − | 0.990568i | ||||
\(55\) | 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 | ||||
\(58\) | −3.77856 | − | 0.678770i | −0.496149 | − | 0.0891268i | ||||
\(59\) | 7.41311i | 0.965104i | 0.875867 | + | 0.482552i | \(0.160290\pi\) | ||||
−0.875867 | + | 0.482552i | \(0.839710\pi\) | |||||||
\(60\) | 2.47461 | + | 7.34005i | 0.319470 | + | 0.947596i | ||||
\(61\) | − | 8.97044i | − | 1.14855i | −0.818663 | − | 0.574274i | \(-0.805284\pi\) | ||
0.818663 | − | 0.574274i | \(-0.194716\pi\) | |||||||
\(62\) | −1.62327 | + | 9.03638i | −0.206155 | + | 1.14762i | ||||
\(63\) | 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 | ||||
\(66\) | −5.03494 | + | 2.43788i | −0.619759 | + | 0.300082i | ||||
\(67\) | −8.66367 | + | 8.66367i | −1.05844 | + | 1.05844i | −0.0602525 | + | 0.998183i | \(0.519191\pi\) |
−0.998183 | + | 0.0602525i | \(0.980809\pi\) | |||||||
\(68\) | −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 | \(-0.144195\pi\) | |||||||
\(72\) | −5.62118 | − | 6.35628i | −0.662463 | − | 0.749095i | ||||
\(73\) | 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 | ||||
\(78\) | 3.45650 | + | 1.20125i | 0.391371 | + | 0.136015i | ||||
\(79\) | 8.28844i | 0.932522i | 0.884647 | + | 0.466261i | \(0.154399\pi\) | ||||
−0.884647 | + | 0.466261i | \(0.845601\pi\) | |||||||
\(80\) | 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 | \(-0.615616\pi\) |
0.934759 | + | 0.355283i | \(0.115616\pi\) | |||||||
\(84\) | 5.49939 | − | 9.78061i | 0.600032 | − | 1.06715i | ||||
\(85\) | 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 | ||||
\(88\) | −3.28345 | + | 5.56275i | −0.350017 | + | 0.592991i | ||||
\(89\) | 11.5311 | 1.22230 | 0.611149 | − | 0.791515i | \(-0.290708\pi\) | ||||
0.611149 | + | 0.791515i | \(0.290708\pi\) | |||||||
\(90\) | 8.58637 | + | 4.03413i | 0.905083 | + | 0.425235i | ||||
\(91\) | 4.83893i | 0.507258i | ||||||||
\(92\) | −4.34749 | − | 9.48162i | −0.453258 | − | 0.988527i | ||||
\(93\) | 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 | ||||
\(96\) | −9.46854 | − | 2.51929i | −0.966379 | − | 0.257124i | ||||
\(97\) | −2.79647 | − | 2.79647i | −0.283939 | − | 0.283939i | 0.550739 | − | 0.834678i | \(-0.314346\pi\) |
−0.834678 | + | 0.550739i | \(0.814346\pi\) | |||||||
\(98\) | 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 | \(-0.353237\pi\) | ||||
0.444907 | + | 0.895577i | \(0.353237\pi\) | |||||||
\(102\) | −3.46146 | + | 9.96006i | −0.342736 | + | 0.986193i | ||||
\(103\) | −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 | 0.910724 | − | 0.413015i | \(-0.135524\pi\) |
−0.413015 | + | 0.910724i | \(0.635524\pi\) | |||||||
\(108\) | −10.3839 | − | 0.418595i | −0.999188 | − | 0.0402793i | ||||
\(109\) | 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 | −0.955740 | − | 0.294212i | \(-0.904943\pi\) |
−0.294212 | − | 0.955740i | \(-0.595057\pi\) | |||||||
\(114\) | −7.42596 | + | 3.59559i | −0.695505 | + | 0.336758i | ||||
\(115\) | 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 | ||||
\(118\) | 10.3186 | + | 1.85360i | 0.949900 | + | 0.170637i | ||||
\(119\) | −13.9436 | −1.27821 | ||||||||
\(120\) | 10.8356 | − | 1.60916i | 0.989152 | − | 0.146895i | ||||
\(121\) | −5.78435 | −0.525850 | ||||||||
\(122\) | −12.4863 | − | 2.24300i | −1.13045 | − | 0.203071i | ||||
\(123\) | 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 | ||||
\(126\) | −3.98478 | − | 13.1521i | −0.354993 | − | 1.17168i | ||||
\(127\) | 7.16362 | + | 7.16362i | 0.635668 | + | 0.635668i | 0.949484 | − | 0.313816i | \(-0.101607\pi\) |
−0.313816 | + | 0.949484i | \(0.601607\pi\) | |||||||
\(128\) | −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 | \(-0.461687\pi\) | ||||
0.120073 | + | 0.992765i | \(0.461687\pi\) | |||||||
\(132\) | 2.13441 | + | 7.61788i | 0.185777 | + | 0.663051i | ||||
\(133\) | −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 | \(0.460699\pi\) | |||||||
\(138\) | −12.0671 | − | 4.19374i | −1.02722 | − | 0.356995i | ||||
\(139\) | −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 | ||||
\(144\) | −10.2531 | + | 6.23497i | −0.854421 | + | 0.519581i | ||||
\(145\) | −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 | ||||
\(148\) | 5.94417 | − | 2.72551i | 0.488608 | − | 0.224036i | ||||
\(149\) | 7.83812i | 0.642124i | 0.947058 | + | 0.321062i | \(0.104040\pi\) | ||||
−0.947058 | + | 0.321062i | \(0.895960\pi\) | |||||||
\(150\) | −10.4097 | + | 6.45269i | −0.849952 | + | 0.526860i | ||||
\(151\) | 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 | ||||
\(153\) | 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 | ||||
\(156\) | 2.53634 | − | 4.51085i | 0.203069 | − | 0.361157i | ||||
\(157\) | −1.60455 | + | 1.60455i | −0.128057 | + | 0.128057i | −0.768231 | − | 0.640173i | \(-0.778863\pi\) |
0.640173 | + | 0.768231i | \(0.278863\pi\) | |||||||
\(158\) | 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 | ||||||
\(162\) | −9.17187 | + | 8.82478i | −0.720610 | + | 0.693340i | ||||
\(163\) | −9.91929 | − | 9.91929i | −0.776939 | − | 0.776939i | 0.202370 | − | 0.979309i | \(-0.435136\pi\) |
−0.979309 | + | 0.202370i | \(0.935136\pi\) | |||||||
\(164\) | 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 | \(0.232053\pi\) | |||||||
\(168\) | −12.2389 | − | 10.1004i | −0.944249 | − | 0.779259i | ||||
\(169\) | − | 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 | \(-0.865145\pi\) |
0.411099 | + | 0.911591i | \(0.365145\pi\) | |||||||
\(174\) | 2.89778 | + | 5.98478i | 0.219680 | + | 0.453705i | ||||
\(175\) | −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 | ||||
\(178\) | 2.88328 | − | 16.0506i | 0.216111 | − | 1.20304i | ||||
\(179\) | − | 9.12480i | − | 0.682019i | −0.940060 | − | 0.341010i | \(-0.889231\pi\) | ||
0.940060 | − | 0.341010i | \(-0.110769\pi\) | |||||||
\(180\) | 7.76221 | − | 10.9430i | 0.578561 | − | 0.815639i | ||||
\(181\) | 2.94123i | 0.218620i | 0.994008 | + | 0.109310i | \(0.0348641\pi\) | ||||
−0.994008 | + | 0.109310i | \(0.965136\pi\) | |||||||
\(182\) | 6.73547 | + | 1.20994i | 0.499266 | + | 0.0896868i | ||||
\(183\) | −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 | ||||
\(186\) | 14.3125 | − | 6.93001i | 1.04945 | − | 0.508133i | ||||
\(187\) | 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 | \(0.977729\pi\) | |||||||
\(192\) | −5.87422 | + | 12.5496i | −0.423935 | + | 0.905692i | ||||
\(193\) | −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 | 0.0419662 | − | 0.999119i | \(-0.486638\pi\) |
−0.999119 | + | 0.0419662i | \(0.986638\pi\) | |||||||
\(198\) | 8.54362 | + | 4.57037i | 0.607169 | + | 0.324802i | ||||
\(199\) | − | 18.4880i | − | 1.31058i | −0.755377 | − | 0.655290i | \(-0.772546\pi\) | ||
0.755377 | − | 0.655290i | \(-0.227454\pi\) | |||||||
\(200\) | −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 | ||||
\(204\) | 12.9982 | + | 7.30857i | 0.910058 | + | 0.511702i | ||||
\(205\) | 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 | ||||
\(208\) | −0.444365 | − | 5.95905i | −0.0308111 | − | 0.413185i | ||||
\(209\) | 7.69249 | 0.532101 | ||||||||
\(210\) | 17.0383 | + | 4.94533i | 1.17575 | + | 0.341260i | ||||
\(211\) | − | 16.4703i | − | 1.13386i | −0.823766 | − | 0.566930i | \(-0.808131\pi\) | ||
0.823766 | − | 0.566930i | \(-0.191869\pi\) | |||||||
\(212\) | 14.9855 | − | 6.87112i | 1.02921 | − | 0.471910i | ||||
\(213\) | −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 | ||||
\(216\) | −3.17907 | + | 14.3490i | −0.216308 | + | 0.976325i | ||||
\(217\) | 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 | ||||||||
\(222\) | 2.62912 | − | 7.56506i | 0.176455 | − | 0.507733i | ||||
\(223\) | 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 | 0.958001 | − | 0.286764i | \(-0.0925795\pi\) |
−0.286764 | + | 0.958001i | \(0.592579\pi\) | |||||||
\(228\) | 3.14801 | + | 11.2355i | 0.208482 | + | 0.744089i | ||||
\(229\) | 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 | \(-0.161705\pi\) |
−0.486440 | + | 0.873714i | \(0.661705\pi\) | |||||||
\(234\) | −1.83780 | − | 6.06578i | −0.120140 | − | 0.396532i | ||||
\(235\) | −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 | ||||
\(238\) | −3.48650 | + | 19.4086i | −0.225996 | + | 1.25807i | ||||
\(239\) | −24.4787 | −1.58339 | −0.791697 | − | 0.610914i | \(-0.790802\pi\) | ||||
−0.791697 | + | 0.610914i | \(0.790802\pi\) | |||||||
\(240\) | 0.469531 | − | 15.4848i | 0.0303081 | − | 0.999541i | ||||
\(241\) | 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 | ||||
\(243\) | 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 | ||||
\(246\) | −11.5347 | − | 23.8225i | −0.735423 | − | 1.51887i | ||||
\(247\) | −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 | \(-0.687150\pi\) | ||||
−0.554656 | + | 0.832080i | \(0.687150\pi\) | |||||||
\(252\) | −19.3032 | + | 2.25797i | −1.21599 | + | 0.142239i | ||||
\(253\) | 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 | \(0.225321\pi\) | |||||||
\(258\) | −3.80824 | − | 1.32349i | −0.237091 | − | 0.0823972i | ||||
\(259\) | 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 | \(-0.0637272\pi\) |
−0.198870 | + | 0.980026i | \(0.563727\pi\) | |||||||
\(264\) | 11.1373 | − | 1.06616i | 0.685452 | − | 0.0656178i | ||||
\(265\) | −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 | ||||
\(268\) | 22.2747 | − | 10.2133i | 1.36064 | − | 0.623879i | ||||
\(269\) | 8.45856i | 0.515728i | 0.966181 | + | 0.257864i | \(0.0830186\pi\) | ||||
−0.966181 | + | 0.257864i | \(0.916981\pi\) | |||||||
\(270\) | −3.09426 | − | 16.1377i | −0.188311 | − | 0.982110i | ||||
\(271\) | −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 | ||||
\(273\) | 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 | ||||
\(276\) | −8.85470 | + | 15.7480i | −0.532990 | + | 0.947918i | ||||
\(277\) | −18.4490 | + | 18.4490i | −1.10849 | + | 1.10849i | −0.115146 | + | 0.993349i | \(0.536734\pi\) |
−0.993349 | + | 0.115146i | \(0.963266\pi\) | |||||||
\(278\) | −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 | \(0.783637\pi\) | |||||||
\(282\) | 2.08977 | − | 6.01312i | 0.124444 | − | 0.358076i | ||||
\(283\) | −2.63446 | − | 2.63446i | −0.156602 | − | 0.156602i | 0.624457 | − | 0.781059i | \(-0.285320\pi\) |
−0.781059 | + | 0.624457i | \(0.785320\pi\) | |||||||
\(284\) | −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 | ||||
\(288\) | 6.11495 | + | 15.8306i | 0.360327 | + | 0.932826i | ||||
\(289\) | − | 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 | 0.00168124 | − | 0.999999i | \(-0.499465\pi\) |
0.999999 | − | 0.00168124i | \(-0.000535155\pi\) | |||||||
\(294\) | −3.72758 | − | 7.69856i | −0.217397 | − | 0.448989i | ||||
\(295\) | 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 | ||||
\(298\) | 10.9101 | + | 1.95987i | 0.632008 | + | 0.113532i | ||||
\(299\) | − | 7.79128i | − | 0.450581i | ||||||
\(300\) | 6.37884 | + | 16.1031i | 0.368282 | + | 0.929714i | ||||
\(301\) | − | 5.33135i | − | 0.307294i | ||||||
\(302\) | 1.49056 | − | 8.29760i | 0.0857720 | − | 0.477473i | ||||
\(303\) | −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 | ||||
\(306\) | 17.4788 | − | 5.29569i | 0.999198 | − | 0.302735i | ||||
\(307\) | 3.18267 | − | 3.18267i | 0.181644 | − | 0.181644i | −0.610428 | − | 0.792072i | \(-0.709002\pi\) |
0.792072 | + | 0.610428i | \(0.209002\pi\) | |||||||
\(308\) | 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 | \(-0.0625349\pi\) | |||||||
\(312\) | −5.64461 | − | 4.65832i | −0.319563 | − | 0.263725i | ||||
\(313\) | 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 | 0.962022 | − | 0.272971i | \(-0.0880062\pi\) |
−0.272971 | + | 0.962022i | \(0.588006\pi\) | |||||||
\(318\) | 6.62811 | − | 19.0718i | 0.371686 | − | 1.06949i | ||||
\(319\) | − | 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 | ||||
\(324\) | 9.99015 | + | 14.9732i | 0.555008 | + | 0.831845i | ||||
\(325\) | −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 | ||||
\(328\) | −26.3198 | − | 15.5354i | −1.45327 | − | 0.857800i | ||||
\(329\) | 8.41808 | 0.464104 | ||||||||
\(330\) | −10.9600 | + | 6.02897i | −0.603327 | + | 0.331884i | ||||
\(331\) | − | 22.1105i | − | 1.21530i | −0.794204 | − | 0.607651i | \(-0.792112\pi\) | ||
0.794204 | − | 0.607651i | \(-0.207888\pi\) | |||||||
\(332\) | −13.5732 | + | 6.22358i | −0.744929 | + | 0.341563i | ||||
\(333\) | −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 | ||||
\(336\) | −17.1193 | + | 14.5102i | −0.933932 | + | 0.791595i | ||||
\(337\) | 2.03793 | + | 2.03793i | 0.111013 | + | 0.111013i | 0.760432 | − | 0.649418i | \(-0.224987\pi\) |
−0.649418 | + | 0.760432i | \(0.724987\pi\) | |||||||
\(338\) | −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 | ||||||||
\(342\) | 12.6009 | + | 6.74077i | 0.681376 | + | 0.364499i | ||||
\(343\) | −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 | 0.627726 | − | 0.778435i | \(-0.283986\pi\) |
−0.778435 | + | 0.627726i | \(0.783986\pi\) | |||||||
\(348\) | 9.05498 | − | 2.53707i | 0.485398 | − | 0.136001i | ||||
\(349\) | −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 | \(-0.225999\pi\) |
−0.651832 | + | 0.758363i | \(0.725999\pi\) | |||||||
\(354\) | −7.91331 | − | 16.3433i | −0.420588 | − | 0.868638i | ||||
\(355\) | −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 | ||||
\(358\) | −12.7011 | − | 2.28159i | −0.671274 | − | 0.120586i | ||||
\(359\) | 12.9584 | 0.683920 | 0.341960 | − | 0.939714i | \(-0.388909\pi\) | ||||
0.341960 | + | 0.939714i | \(0.388909\pi\) | |||||||
\(360\) | −13.2910 | − | 13.5407i | −0.700496 | − | 0.713657i | ||||
\(361\) | −7.65447 | −0.402867 | ||||||||
\(362\) | 4.09400 | + | 0.735434i | 0.215176 | + | 0.0386536i | ||||
\(363\) | 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 | ||||
\(366\) | 9.57573 | + | 19.7767i | 0.500531 | + | 1.03375i | ||||
\(367\) | 20.3623 | + | 20.3623i | 1.06291 | + | 1.06291i | 0.997884 | + | 0.0650212i | \(0.0207115\pi\) |
0.0650212 | + | 0.997884i | \(0.479289\pi\) | |||||||
\(368\) | 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 | ||||||||
\(372\) | −6.06737 | − | 21.6549i | −0.314578 | − | 1.12275i | ||||
\(373\) | 10.1764 | + | 10.1764i | 0.526916 | + | 0.526916i | 0.919652 | − | 0.392735i | \(-0.128471\pi\) |
−0.392735 | + | 0.919652i | \(0.628471\pi\) | |||||||
\(374\) | −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 | ||||
\(378\) | −14.3661 | + | 18.9784i | −0.738913 | + | 0.976145i | ||||
\(379\) | −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 | \(-0.118518\pi\) |
−0.363793 | + | 0.931480i | \(0.618518\pi\) | |||||||
\(384\) | 15.9995 | + | 11.3145i | 0.816469 | + | 0.577389i | ||||
\(385\) | −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 | ||||
\(388\) | 3.29668 | + | 7.18986i | 0.167364 | + | 0.365010i | ||||
\(389\) | − | 14.2176i | − | 0.720861i | −0.932786 | − | 0.360431i | \(-0.882630\pi\) | ||
0.932786 | − | 0.360431i | \(-0.117370\pi\) | |||||||
\(390\) | 7.85811 | + | 2.28080i | 0.397911 | + | 0.115493i | ||||
\(391\) | 22.4509 | 1.13539 | ||||||||
\(392\) | −8.50559 | − | 5.02048i | −0.429597 | − | 0.253573i | ||||
\(393\) | −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 | ||||
\(396\) | 8.49793 | − | 10.7494i | 0.427037 | − | 0.540176i | ||||
\(397\) | 24.3286 | − | 24.3286i | 1.22102 | − | 1.22102i | 0.253746 | − | 0.967271i | \(-0.418337\pi\) |
0.967271 | − | 0.253746i | \(-0.0816626\pi\) | |||||||
\(398\) | −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 | \(0.821321\pi\) | |||||||
\(402\) | 9.85213 | − | 28.3486i | 0.491380 | − | 1.41390i | ||||
\(403\) | 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 | ||||
\(408\) | 13.4232 | − | 16.2652i | 0.664545 | − | 0.805248i | ||||
\(409\) | 0.899012i | 0.0444533i | 0.999753 | + | 0.0222266i | \(0.00707554\pi\) | ||||
−0.999753 | + | 0.0222266i | \(0.992924\pi\) | |||||||
\(410\) | 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 | ||||
\(414\) | 6.41600 | + | 21.1765i | 0.315329 | + | 1.04077i | ||||
\(415\) | 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 | ||||
\(418\) | 1.92345 | − | 10.7074i | 0.0940792 | − | 0.523718i | ||||
\(419\) | − | 31.7713i | − | 1.55213i | −0.630653 | − | 0.776065i | \(-0.717213\pi\) | ||
0.630653 | − | 0.776065i | \(-0.282787\pi\) | |||||||
\(420\) | 11.1439 | − | 22.4796i | 0.543765 | − | 1.09689i | ||||
\(421\) | 21.3473i | 1.04040i | 0.854044 | + | 0.520201i | \(0.174143\pi\) | ||||
−0.854044 | + | 0.520201i | \(0.825857\pi\) | |||||||
\(422\) | −22.9255 | − | 4.11828i | −1.11600 | − | 0.200475i | ||||
\(423\) | −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 | ||||
\(426\) | 7.87338 | + | 16.2608i | 0.381466 | + | 0.787841i | ||||
\(427\) | −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 | \(-0.0455743\pi\) | |||||||
\(432\) | 19.1779 | + | 8.01292i | 0.922699 | + | 0.385522i | ||||
\(433\) | −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 | ||||
\(438\) | −2.08605 | + | 6.00242i | −0.0996753 | + | 0.286807i | ||||
\(439\) | 16.2344i | 0.774827i | 0.921906 | + | 0.387413i | \(0.126631\pi\) | ||||
−0.921906 | + | 0.387413i | \(0.873369\pi\) | |||||||
\(440\) | −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 | −0.481070 | + | 0.876682i | \(0.659752\pi\) |
−0.876682 | + | 0.481070i | \(0.840248\pi\) | |||||||
\(444\) | −9.87266 | − | 5.55115i | −0.468536 | − | 0.263446i | ||||
\(445\) | 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 | ||||
\(448\) | −7.18739 | + | 24.8963i | −0.339572 | + | 1.17624i | ||||
\(449\) | 2.81035 | 0.132628 | 0.0663142 | − | 0.997799i | \(-0.478876\pi\) | ||||
0.0663142 | + | 0.997799i | \(0.478876\pi\) | |||||||
\(450\) | 19.6425 | + | 8.01065i | 0.925958 | + | 0.377626i | ||||
\(451\) | 24.6775i | 1.16202i | ||||||||
\(452\) | 15.6639 | + | 34.1619i | 0.736766 | + | 1.60684i | ||||
\(453\) | −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 | ||||
\(456\) | 16.4262 | − | 1.57247i | 0.769227 | − | 0.0736376i | ||||
\(457\) | −29.1068 | − | 29.1068i | −1.36156 | − | 1.36156i | −0.871934 | − | 0.489623i | \(-0.837134\pi\) |
−0.489623 | − | 0.871934i | \(-0.662866\pi\) | |||||||
\(458\) | 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 | \(-0.722291\pi\) | ||||
−0.642954 | + | 0.765905i | \(0.722291\pi\) | |||||||
\(462\) | 17.1158 | + | 5.94834i | 0.796301 | + | 0.276742i | ||||
\(463\) | 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 | 0.313477 | − | 0.949596i | \(-0.398506\pi\) |
−0.949596 | + | 0.313477i | \(0.898506\pi\) | |||||||
\(468\) | −8.90269 | + | 1.04138i | −0.411527 | + | 0.0481380i | ||||
\(469\) | 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 | ||||
\(474\) | −8.84770 | − | 18.2731i | −0.406389 | − | 0.839313i | ||||
\(475\) | 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 | ||||
\(478\) | −6.12072 | + | 34.0727i | −0.279955 | + | 1.55845i | ||||
\(479\) | 37.7789 | 1.72616 | 0.863081 | − | 0.505066i | \(-0.168532\pi\) | ||||
0.863081 | + | 0.505066i | \(0.168532\pi\) | |||||||
\(480\) | −21.4364 | − | 4.52543i | −0.978435 | − | 0.206557i | ||||
\(481\) | 4.88447 | 0.222713 | ||||||||
\(482\) | 1.80042 | − | 10.0225i | 0.0820069 | − | 0.456514i | ||||
\(483\) | −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 | ||||
\(486\) | 21.7048 | + | 3.86040i | 0.984549 | + | 0.175111i | ||||
\(487\) | −16.6047 | − | 16.6047i | −0.752429 | − | 0.752429i | 0.222503 | − | 0.974932i | \(-0.428577\pi\) |
−0.974932 | + | 0.222503i | \(0.928577\pi\) | |||||||
\(488\) | 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 | \(-0.454461\pi\) | ||||
0.142577 | + | 0.989784i | \(0.454461\pi\) | |||||||
\(492\) | −36.0435 | + | 10.0988i | −1.62497 | + | 0.455291i | ||||
\(493\) | −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 | ||||
\(498\) | −6.00347 | + | 17.2745i | −0.269022 | + | 0.774087i | ||||
\(499\) | −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 | −0.996365 | − | 0.0851818i | \(-0.972853\pi\) |
−0.0851818 | − | 0.996365i | \(-0.527147\pi\) | |||||||
\(504\) | −1.68368 | + | 27.4333i | −0.0749970 | + | 1.22198i | ||||
\(505\) | 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 | ||||
\(508\) | −8.44498 | − | 18.4180i | −0.374685 | − | 0.817165i | ||||
\(509\) | 36.5584i | 1.62042i | 0.586138 | + | 0.810211i | \(0.300648\pi\) | ||||
−0.586138 | + | 0.810211i | \(0.699352\pi\) | |||||||
\(510\) | −6.57224 | + | 22.6435i | −0.291023 | + | 1.00267i | ||||
\(511\) | −8.40310 | −0.371731 | ||||||||
\(512\) | 22.6180 | + | 0.653333i | 0.999583 | + | 0.0288735i | ||||
\(513\) | 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 | ||||
\(516\) | −2.79444 | + | 4.96989i | −0.123018 | + | 0.218787i | ||||
\(517\) | −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 | \(-0.219212\pi\) | |||||||
\(522\) | 5.43256 | − | 10.1554i | 0.237777 | − | 0.444488i | ||||
\(523\) | −1.09850 | − | 1.09850i | −0.0480342 | − | 0.0480342i | 0.682682 | − | 0.730716i | \(-0.260814\pi\) |
−0.730716 | + | 0.682682i | \(0.760814\pi\) | |||||||
\(524\) | −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 | ||||
\(528\) | 1.30077 | − | 15.7689i | 0.0566088 | − | 0.686255i | ||||
\(529\) | 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 | ||||
\(534\) | −25.4222 | + | 12.3092i | −1.10012 | + | 0.532672i | ||||
\(535\) | 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 | ||||
\(538\) | 11.7738 | + | 2.11501i | 0.507603 | + | 0.0911844i | ||||
\(539\) | 7.97487i | 0.343502i | ||||||||
\(540\) | −23.2363 | + | 0.271881i | −0.999932 | + | 0.0116999i | ||||
\(541\) | − | 1.84481i | − | 0.0793147i | −0.999213 | − | 0.0396574i | \(-0.987373\pi\) | ||
0.999213 | − | 0.0396574i | \(-0.0126266\pi\) | |||||||
\(542\) | −0.681040 | + | 3.79120i | −0.0292532 | + | 0.162846i | ||||
\(543\) | 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 | ||||
\(546\) | −5.16544 | − | 10.6682i | −0.221060 | − | 0.456555i | ||||
\(547\) | 21.0963 | − | 21.0963i | 0.902012 | − | 0.902012i | −0.0935978 | − | 0.995610i | \(-0.529837\pi\) |
0.995610 | + | 0.0935978i | \(0.0298368\pi\) | |||||||
\(548\) | 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 | ||||||
\(552\) | 19.7061 | + | 16.2628i | 0.838748 | + | 0.692192i | ||||
\(553\) | 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 | 0.480284 | − | 0.877113i | \(-0.340534\pi\) |
−0.877113 | + | 0.480284i | \(0.840534\pi\) | |||||||
\(558\) | −24.2864 | − | 12.9919i | −1.02813 | − | 0.549992i | ||||
\(559\) | − | 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 | \(-0.778815\pi\) |
0.640288 | + | 0.768135i | \(0.278815\pi\) | |||||||
\(564\) | −7.84733 | − | 4.41235i | −0.330432 | − | 0.185794i | ||||
\(565\) | −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 | ||||
\(568\) | 17.9654 | + | 10.6042i | 0.753813 | + | 0.444944i | ||||
\(569\) | −23.6605 | −0.991898 | −0.495949 | − | 0.868352i | \(-0.665180\pi\) | ||||
−0.495949 | + | 0.868352i | \(0.665180\pi\) | |||||||
\(570\) | −16.1647 | + | 8.89203i | −0.677065 | + | 0.372446i | ||||
\(571\) | 13.8475i | 0.579498i | 0.957103 | + | 0.289749i | \(0.0935718\pi\) | ||||
−0.957103 | + | 0.289749i | \(0.906428\pi\) | |||||||
\(572\) | 2.84398 | + | 6.20254i | 0.118913 | + | 0.259341i | ||||
\(573\) | 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 | ||||
\(576\) | 23.5641 | − | 4.55328i | 0.981838 | − | 0.189720i | ||||
\(577\) | −7.31424 | − | 7.31424i | −0.304496 | − | 0.304496i | 0.538274 | − | 0.842770i | \(-0.319077\pi\) |
−0.842770 | + | 0.538274i | \(0.819077\pi\) | |||||||
\(578\) | −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 | ||||||||
\(582\) | 9.15043 | + | 3.18009i | 0.379297 | + | 0.131819i | ||||
\(583\) | −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 | 0.845275 | − | 0.534331i | \(-0.179436\pi\) |
−0.534331 | + | 0.845275i | \(0.679436\pi\) | |||||||
\(588\) | −11.6479 | + | 3.26358i | −0.480353 | + | 0.134588i | ||||
\(589\) | −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 | \(-0.0748816\pi\) |
−0.233084 | + | 0.972457i | \(0.574882\pi\) | |||||||
\(594\) | −2.29949 | − | 16.6240i | −0.0943493 | − | 0.682091i | ||||
\(595\) | −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 | ||||
\(598\) | −10.8449 | − | 1.94816i | −0.443483 | − | 0.0796660i | ||||
\(599\) | −19.8681 | −0.811789 | −0.405895 | − | 0.913920i | \(-0.633040\pi\) | ||||
−0.405895 | + | 0.913920i | \(0.633040\pi\) | |||||||
\(600\) | 24.0095 | − | 4.85244i | 0.980182 | − | 0.198100i | ||||
\(601\) | −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 | ||||
\(603\) | −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 | ||||
\(606\) | −19.7151 | + | 9.54591i | −0.800873 | + | 0.387776i | ||||
\(607\) | −17.5088 | − | 17.5088i | −0.710659 | − | 0.710659i | 0.256014 | − | 0.966673i | \(-0.417591\pi\) |
−0.966673 | + | 0.256014i | \(0.917591\pi\) | |||||||
\(608\) | 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 | ||||||||
\(612\) | −3.00080 | − | 25.6535i | −0.121300 | − | 1.03698i | ||||
\(613\) | −24.2075 | − | 24.2075i | −0.977730 | − | 0.977730i | 0.0220274 | − | 0.999757i | \(-0.492988\pi\) |
−0.999757 | + | 0.0220274i | \(0.992988\pi\) | |||||||
\(614\) | −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 | \(0.219728\pi\) | |||||||
\(618\) | 2.89298 | − | 8.32429i | 0.116373 | − | 0.334852i | ||||
\(619\) | 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 | ||||
\(624\) | −7.89546 | + | 6.69214i | −0.316071 | + | 0.267900i | ||||
\(625\) | 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 | ||||
\(628\) | 4.12538 | − | 1.89156i | 0.164620 | − | 0.0754815i | ||||
\(629\) | 14.0748i | 0.561201i | ||||||||
\(630\) | −10.4265 | − | 28.9061i | −0.415402 | − | 1.15165i | ||||
\(631\) | −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 | ||||
\(633\) | −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 | ||||
\(636\) | −24.8894 | − | 13.9947i | −0.986928 | − | 0.554924i | ||||
\(637\) | 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 | \(0.916168\pi\) | |||||||
\(642\) | −16.8460 | − | 5.85458i | −0.664860 | − | 0.231062i | ||||
\(643\) | 22.6851 | + | 22.6851i | 0.894614 | + | 0.894614i | 0.994953 | − | 0.100339i | \(-0.0319928\pi\) |
−0.100339 | + | 0.994953i | \(0.531993\pi\) | |||||||
\(644\) | −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 | \(0.0706675\pi\) | |||||||
\(648\) | 23.3397 | − | 10.1617i | 0.916869 | − | 0.399188i | ||||
\(649\) | 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 | \(-0.694191\pi\) |
0.819608 | + | 0.572925i | \(0.194191\pi\) | |||||||
\(654\) | −3.09815 | + | 1.50010i | −0.121147 | + | 0.0586585i | ||||
\(655\) | 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 | ||||
\(658\) | 2.10488 | − | 11.7174i | 0.0820568 | − | 0.456792i | ||||
\(659\) | − | 33.0388i | − | 1.28701i | −0.765442 | − | 0.643505i | \(-0.777480\pi\) | ||
0.765442 | − | 0.643505i | \(-0.222520\pi\) | |||||||
\(660\) | 5.65146 | + | 16.7631i | 0.219983 | + | 0.652501i | ||||
\(661\) | 1.50452i | 0.0585192i | 0.999572 | + | 0.0292596i | \(0.00931495\pi\) | ||||
−0.999572 | + | 0.0292596i | \(0.990685\pi\) | |||||||
\(662\) | −30.7763 | − | 5.52857i | −1.19616 | − | 0.214874i | ||||
\(663\) | 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 | ||||
\(666\) | −13.2759 | + | 4.02229i | −0.514429 | + | 0.155860i | ||||
\(667\) | 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 | ||||||
\(672\) | 15.9166 | + | 27.4570i | 0.613998 | + | 1.05918i | ||||
\(673\) | 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 | 0.949138 | − | 0.314860i | \(-0.101958\pi\) |
−0.314860 | + | 0.949138i | \(0.601958\pi\) | |||||||
\(678\) | 43.4773 | + | 15.1099i | 1.66974 | + | 0.580291i | ||||
\(679\) | 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 | \(-0.759171\pi\) |
0.686443 | + | 0.727184i | \(0.259171\pi\) | |||||||
\(684\) | 12.5335 | − | 15.8541i | 0.479229 | − | 0.606195i | ||||
\(685\) | −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 | ||||
\(688\) | 0.489584 | + | 6.56545i | 0.0186652 | + | 0.250306i | ||||
\(689\) | 12.3139 | 0.469124 | ||||||||
\(690\) | −27.4337 | − | 7.96259i | −1.04438 | − | 0.303131i | ||||
\(691\) | 16.7696i | 0.637945i | 0.947764 | + | 0.318972i | \(0.103338\pi\) | ||||
−0.947764 | + | 0.318972i | \(0.896662\pi\) | |||||||
\(692\) | 16.9250 | − | 7.76043i | 0.643393 | − | 0.295007i | ||||
\(693\) | 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 | ||||
\(696\) | −1.26729 | − | 13.2383i | −0.0480366 | − | 0.501797i | ||||
\(697\) | 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 | \(-0.222516\pi\) | ||||
0.765451 | + | 0.643495i | \(0.222516\pi\) | |||||||
\(702\) | −6.62570 | + | 8.75292i | −0.250071 | + | 0.330358i | ||||
\(703\) | −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 | ||||
\(708\) | −24.7275 | + | 6.92827i | −0.929316 | + | 0.260380i | ||||
\(709\) | 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 | ||||
\(714\) | 30.7408 | − | 14.8845i | 1.15045 | − | 0.557037i | ||||
\(715\) | −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 | ||||
\(718\) | 3.24017 | − | 18.0373i | 0.120922 | − | 0.673146i | ||||
\(719\) | −36.9961 | −1.37972 | −0.689861 | − | 0.723942i | \(-0.742328\pi\) | ||||
−0.689861 | + | 0.723942i | \(0.742328\pi\) | |||||||
\(720\) | −22.1710 | + | 15.1144i | −0.826266 | + | 0.563280i | ||||
\(721\) | 11.6536 | 0.434003 | ||||||||
\(722\) | −1.91395 | + | 10.6545i | −0.0712297 | + | 0.396520i | ||||
\(723\) | −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 | ||||
\(726\) | 12.7525 | − | 6.17465i | 0.473289 | − | 0.229163i | ||||
\(727\) | −25.8439 | − | 25.8439i | −0.958497 | − | 0.958497i | 0.0406756 | − | 0.999172i | \(-0.487049\pi\) |
−0.999172 | + | 0.0406756i | \(0.987049\pi\) | |||||||
\(728\) | −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 | ||||||||
\(732\) | 29.9222 | − | 8.38375i | 1.10596 | − | 0.309872i | ||||
\(733\) | 37.3652 | + | 37.3652i | 1.38012 | + | 1.38012i | 0.844397 | + | 0.535719i | \(0.179959\pi\) |
0.535719 | + | 0.844397i | \(0.320041\pi\) | |||||||
\(734\) | 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 | ||||
\(738\) | −21.6244 | + | 40.4236i | −0.796005 | + | 1.48801i | ||||
\(739\) | −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 | \(-0.190887\pi\) |
−0.564387 | + | 0.825510i | \(0.690887\pi\) | |||||||
\(744\) | −31.6593 | + | 3.03072i | −1.16068 | + | 0.111111i | ||||
\(745\) | 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 | ||||
\(748\) | −17.8729 | + | 8.19506i | −0.653499 | + | 0.299641i | ||||
\(749\) | − | 23.5836i | − | 0.861727i | ||||||
\(750\) | −22.4956 | + | 15.6188i | −0.821424 | + | 0.570318i | ||||
\(751\) | −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 | ||||
\(753\) | 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 | ||||
\(756\) | 22.8246 | + | 24.7421i | 0.830122 | + | 0.899861i | ||||
\(757\) | 5.24365 | − | 5.24365i | 0.190584 | − | 0.190584i | −0.605365 | − | 0.795948i | \(-0.706973\pi\) |
0.795948 | + | 0.605365i | \(0.206973\pi\) | |||||||
\(758\) | −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 | \(-0.267845\pi\) | |||||||
\(762\) | −23.4403 | − | 8.14630i | −0.849152 | − | 0.295109i | ||||
\(763\) | −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 | ||||
\(768\) | 19.7496 | − | 19.4411i | 0.712651 | − | 0.701519i | ||||
\(769\) | 43.5085i | 1.56896i | 0.620156 | + | 0.784478i | \(0.287069\pi\) | ||||
−0.620156 | + | 0.784478i | \(0.712931\pi\) | |||||||
\(770\) | −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 | −0.272551 | + | 0.962141i | \(0.587867\pi\) |
−0.962141 | + | 0.272551i | \(0.912133\pi\) | |||||||
\(774\) | 2.02481 | + | 6.68305i | 0.0727804 | + | 0.240217i | ||||
\(775\) | −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 | ||||
\(778\) | −19.7900 | − | 3.55501i | −0.709505 | − | 0.127453i | ||||
\(779\) | 36.3965i | 1.30404i | ||||||||
\(780\) | 5.13959 | − | 10.3677i | 0.184027 | − | 0.371222i | ||||
\(781\) | − | 16.8445i | − | 0.602742i | ||||||
\(782\) | 5.61370 | − | 31.2502i | 0.200746 | − | 1.11751i | ||||
\(783\) | −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 | ||||
\(786\) | −6.05968 | + | 2.93405i | −0.216142 | + | 0.104654i | ||||
\(787\) | −7.25839 | + | 7.25839i | −0.258734 | + | 0.258734i | −0.824539 | − | 0.565805i | \(-0.808565\pi\) |
0.565805 | + | 0.824539i | \(0.308565\pi\) | |||||||
\(788\) | 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 | ||||||||
\(792\) | −12.8375 | − | 14.5164i | −0.456162 | − | 0.515816i | ||||
\(793\) | −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 | 0.532602 | − | 0.846366i | \(-0.321214\pi\) |
−0.846366 | + | 0.532602i | \(0.821214\pi\) | |||||||
\(798\) | 25.2439 | + | 8.77312i | 0.893624 | + | 0.310565i | ||||
\(799\) | 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 | ||||
\(804\) | −36.9960 | − | 20.8019i | −1.30475 | − | 0.733626i | ||||
\(805\) | −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 | ||||
\(808\) | −12.8569 | + | 21.7818i | −0.452304 | + | 0.766283i | ||||
\(809\) | 2.43744 | 0.0856959 | 0.0428480 | − | 0.999082i | \(-0.486357\pi\) | ||||
0.0428480 | + | 0.999082i | \(0.486357\pi\) | |||||||
\(810\) | −19.4558 | + | 20.7719i | −0.683606 | + | 0.729852i | ||||
\(811\) | − | 1.17131i | − | 0.0411302i | −0.999789 | − | 0.0205651i | \(-0.993453\pi\) | ||
0.999789 | − | 0.0205651i | \(-0.00654654\pi\) | |||||||
\(812\) | 15.9857 | − | 7.32971i | 0.560987 | − | 0.257223i | ||||
\(813\) | 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 | ||||
\(816\) | −19.2837 | − | 22.7511i | −0.675065 | − | 0.796449i | ||||
\(817\) | 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 | \(-0.227568\pi\) | ||||
0.755142 | + | 0.655562i | \(0.227568\pi\) | |||||||
\(822\) | 11.5698 | − | 33.2910i | 0.403542 | − | 1.16116i | ||||
\(823\) | 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 | 0.862717 | − | 0.505687i | \(-0.168761\pi\) |
−0.505687 | + | 0.862717i | \(0.668761\pi\) | |||||||
\(828\) | 31.0805 | − | 3.63561i | 1.08012 | − | 0.126346i | ||||
\(829\) | −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 | ||||
\(834\) | 1.88954 | − | 0.914899i | 0.0654293 | − | 0.0316804i | ||||
\(835\) | 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 | ||||
\(838\) | −44.2235 | − | 7.94419i | −1.52768 | − | 0.274428i | ||||
\(839\) | −2.39839 | −0.0828015 | −0.0414007 | − | 0.999143i | \(-0.513182\pi\) | ||||
−0.0414007 | + | 0.999143i | \(0.513182\pi\) | |||||||
\(840\) | −28.5036 | − | 21.1324i | −0.983469 | − | 0.729136i | ||||
\(841\) | 21.6309 | 0.745893 | ||||||||
\(842\) | 29.7140 | + | 5.33774i | 1.02401 | + | 0.183951i | ||||
\(843\) | 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 | ||||
\(846\) | −10.5524 | + | 3.19713i | −0.362798 | + | 0.109920i | ||||
\(847\) | 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 | ||||||||
\(852\) | 24.6027 | − | 6.89330i | 0.842875 | − | 0.236161i | ||||
\(853\) | −21.9385 | − | 21.9385i | −0.751159 | − | 0.751159i | 0.223537 | − | 0.974695i | \(-0.428240\pi\) |
−0.974695 | + | 0.223537i | \(0.928240\pi\) | |||||||
\(854\) | 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 | \(-0.0105717\pi\) | |||||||
\(858\) | 7.89388 | + | 2.74340i | 0.269493 | + | 0.0936580i | ||||
\(859\) | −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 | \(-0.154564\pi\) |
−0.466719 | + | 0.884406i | \(0.654564\pi\) | |||||||
\(864\) | 15.9488 | − | 24.6908i | 0.542588 | − | 0.839999i | ||||
\(865\) | −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 | ||||
\(868\) | −17.5289 | − | 38.2295i | −0.594971 | − | 1.29759i | ||||
\(869\) | 18.9290i | 0.642121i | ||||||||
\(870\) | 7.16632 | + | 13.0276i | 0.242961 | + | 0.441676i | ||||
\(871\) | 18.3037 | 0.620196 | ||||||||
\(872\) | −2.02040 | + | 3.42292i | −0.0684195 | + | 0.115915i | ||||
\(873\) | 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 | ||||
\(876\) | 7.83337 | + | 4.40451i | 0.264665 | + | 0.148814i | ||||
\(877\) | 23.5029 | − | 23.5029i | 0.793638 | − | 0.793638i | −0.188446 | − | 0.982084i | \(-0.560345\pi\) |
0.982084 | + | 0.188446i | \(0.0603449\pi\) | |||||||
\(878\) | 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 | \(0.879031\pi\) | |||||||
\(882\) | −6.98822 | + | 13.0634i | −0.235306 | + | 0.439868i | ||||
\(883\) | 3.98395 | + | 3.98395i | 0.134070 | + | 0.134070i | 0.770957 | − | 0.636887i | \(-0.219778\pi\) |
−0.636887 | + | 0.770957i | \(0.719778\pi\) | |||||||
\(884\) | 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 | \(0.166674\pi\) | |||||||
\(888\) | −10.1954 | + | 12.3541i | −0.342136 | + | 0.414575i | ||||
\(889\) | − | 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 | ||||
\(894\) | −8.36700 | − | 17.2803i | −0.279834 | − | 0.577941i | ||||
\(895\) | −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 | ||||
\(898\) | 0.702708 | − | 3.91182i | 0.0234497 | − | 0.130539i | ||||
\(899\) | 17.6232i | 0.587765i | ||||||||
\(900\) | 16.0618 | − | 25.3381i | 0.535393 | − | 0.844603i | ||||
\(901\) | 35.4832i | 1.18212i | ||||||||
\(902\) | 34.3495 | + | 6.17044i | 1.14371 | + | 0.205453i | ||||
\(903\) | −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 | ||||
\(906\) | −13.1424 | + | 6.36344i | −0.436627 | + | 0.211411i | ||||
\(907\) | −0.400640 | + | 0.400640i | −0.0133030 | + | 0.0133030i | −0.713727 | − | 0.700424i | \(-0.752994\pi\) |
0.700424 | + | 0.713727i | \(0.252994\pi\) | |||||||
\(908\) | −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 | \(0.904250\pi\) | |||||||
\(912\) | 1.91849 | − | 23.2574i | 0.0635274 | − | 0.770128i | ||||
\(913\) | 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 | ||||
\(918\) | −25.2220 | − | 19.0923i | −0.832448 | − | 0.630138i | ||||
\(919\) | 26.4904i | 0.873838i | 0.899501 | + | 0.436919i | \(0.143930\pi\) | ||||
−0.899501 | + | 0.436919i | \(0.856070\pi\) | |||||||
\(920\) | −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 | ||||
\(924\) | 12.5594 | − | 22.3368i | 0.413174 | − | 0.734826i | ||||
\(925\) | −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 | ||||
\(928\) | −9.68077 | − | 11.9203i | −0.317787 | − | 0.391304i | ||||
\(929\) | −1.35917 | −0.0445930 | −0.0222965 | − | 0.999751i | \(-0.507098\pi\) | ||||
−0.0222965 | + | 0.999751i | \(0.507098\pi\) | |||||||
\(930\) | 31.1553 | − | 17.1382i | 1.02162 | − | 0.561983i | ||||
\(931\) | 11.7620i | 0.385485i | ||||||||
\(932\) | −6.96886 | − | 15.1987i | −0.228273 | − | 0.497849i | ||||
\(933\) | −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 | ||||
\(936\) | −0.776518 | + | 12.6523i | −0.0253813 | + | 0.413555i | ||||
\(937\) | −23.4121 | − | 23.4121i | −0.764841 | − | 0.764841i | 0.212352 | − | 0.977193i | \(-0.431888\pi\) |
−0.977193 | + | 0.212352i | \(0.931888\pi\) | |||||||
\(938\) | 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 | \(-0.628870\pi\) | ||||
−0.393888 | + | 0.919159i | \(0.628870\pi\) | |||||||
\(942\) | 1.82466 | − | 5.25031i | 0.0594507 | − | 0.171064i | ||||
\(943\) | −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 | 0.947135 | − | 0.320837i | \(-0.103964\pi\) |
−0.320837 | + | 0.947135i | \(0.603964\pi\) | |||||||
\(948\) | −27.6473 | + | 7.74635i | −0.897942 | + | 0.251590i | ||||
\(949\) | −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 | \(-0.245032\pi\) |
−0.695984 | + | 0.718057i | \(0.745032\pi\) | |||||||
\(954\) | −33.4689 | + | 10.1403i | −1.08360 | + | 0.328306i | ||||
\(955\) | 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 | ||||
\(958\) | 9.44635 | − | 52.5857i | 0.305198 | − | 1.69897i | ||||
\(959\) | 46.6058 | 1.50498 | ||||||||
\(960\) | −11.6591 | + | 28.7065i | −0.376297 | + | 0.926499i | ||||
\(961\) | 11.1456 | 0.359534 | ||||||||
\(962\) | 1.22133 | − | 6.79886i | 0.0393772 | − | 0.219204i | ||||
\(963\) | −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 | ||||
\(966\) | 18.0333 | + | 37.2440i | 0.580211 | + | 1.19831i | ||||
\(967\) | 25.1663 | + | 25.1663i | 0.809294 | + | 0.809294i | 0.984527 | − | 0.175233i | \(-0.0560679\pi\) |
−0.175233 | + | 0.984527i | \(0.556068\pi\) | |||||||
\(968\) | 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 | \(-0.681433\pi\) | ||||
−0.539623 | + | 0.841907i | \(0.681433\pi\) | |||||||
\(972\) | 10.8005 | − | 29.2463i | 0.346428 | − | 0.938077i | ||||
\(973\) | 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 | \(0.192440\pi\) | |||||||
\(978\) | 32.4572 | + | 11.2800i | 1.03787 | + | 0.360694i | ||||
\(979\) | 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 | \(-0.152698\pi\) |
−0.461525 | + | 0.887127i | \(0.652698\pi\) | |||||||
\(984\) | 5.04448 | + | 52.6953i | 0.160812 | + | 1.67986i | ||||
\(985\) | −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 | ||||
\(988\) | 4.19454 | + | 9.14803i | 0.133446 | + | 0.291038i | ||||
\(989\) | 8.58414i | 0.272960i | ||||||||
\(990\) | 19.6094 | + | 9.21307i | 0.623227 | + | 0.292811i | ||||
\(991\) | 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 | ||||
\(993\) | −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 | ||||
\(996\) | 22.5438 | + | 12.6758i | 0.714327 | + | 0.401648i | ||||
\(997\) | 1.32422 | − | 1.32422i | 0.0419385 | − | 0.0419385i | −0.685827 | − | 0.727765i | \(-0.740559\pi\) |
0.727765 | + | 0.685827i | \(0.240559\pi\) | |||||||
\(998\) | −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.77.10 | yes | 32 | |
3.2 | odd | 2 | inner | 120.2.w.c.77.7 | yes | 32 | |
4.3 | odd | 2 | 480.2.bi.c.17.12 | 32 | |||
5.2 | odd | 4 | 600.2.w.j.293.15 | 32 | |||
5.3 | odd | 4 | inner | 120.2.w.c.53.2 | ✓ | 32 | |
5.4 | even | 2 | 600.2.w.j.557.7 | 32 | |||
8.3 | odd | 2 | 480.2.bi.c.17.5 | 32 | |||
8.5 | even | 2 | inner | 120.2.w.c.77.15 | yes | 32 | |
12.11 | even | 2 | 480.2.bi.c.17.13 | 32 | |||
15.2 | even | 4 | 600.2.w.j.293.2 | 32 | |||
15.8 | even | 4 | inner | 120.2.w.c.53.15 | yes | 32 | |
15.14 | odd | 2 | 600.2.w.j.557.10 | 32 | |||
20.3 | even | 4 | 480.2.bi.c.113.4 | 32 | |||
24.5 | odd | 2 | inner | 120.2.w.c.77.2 | yes | 32 | |
24.11 | even | 2 | 480.2.bi.c.17.4 | 32 | |||
40.3 | even | 4 | 480.2.bi.c.113.13 | 32 | |||
40.13 | odd | 4 | inner | 120.2.w.c.53.7 | yes | 32 | |
40.29 | even | 2 | 600.2.w.j.557.2 | 32 | |||
40.37 | odd | 4 | 600.2.w.j.293.10 | 32 | |||
60.23 | odd | 4 | 480.2.bi.c.113.5 | 32 | |||
120.29 | odd | 2 | 600.2.w.j.557.15 | 32 | |||
120.53 | even | 4 | inner | 120.2.w.c.53.10 | yes | 32 | |
120.77 | even | 4 | 600.2.w.j.293.7 | 32 | |||
120.83 | odd | 4 | 480.2.bi.c.113.12 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
120.2.w.c.53.2 | ✓ | 32 | 5.3 | odd | 4 | inner | |
120.2.w.c.53.7 | yes | 32 | 40.13 | odd | 4 | inner | |
120.2.w.c.53.10 | yes | 32 | 120.53 | even | 4 | inner | |
120.2.w.c.53.15 | yes | 32 | 15.8 | even | 4 | inner | |
120.2.w.c.77.2 | yes | 32 | 24.5 | odd | 2 | inner | |
120.2.w.c.77.7 | yes | 32 | 3.2 | odd | 2 | inner | |
120.2.w.c.77.10 | yes | 32 | 1.1 | even | 1 | trivial | |
120.2.w.c.77.15 | yes | 32 | 8.5 | even | 2 | inner | |
480.2.bi.c.17.4 | 32 | 24.11 | even | 2 | |||
480.2.bi.c.17.5 | 32 | 8.3 | odd | 2 | |||
480.2.bi.c.17.12 | 32 | 4.3 | odd | 2 | |||
480.2.bi.c.17.13 | 32 | 12.11 | even | 2 | |||
480.2.bi.c.113.4 | 32 | 20.3 | even | 4 | |||
480.2.bi.c.113.5 | 32 | 60.23 | odd | 4 | |||
480.2.bi.c.113.12 | 32 | 120.83 | odd | 4 | |||
480.2.bi.c.113.13 | 32 | 40.3 | even | 4 | |||
600.2.w.j.293.2 | 32 | 15.2 | even | 4 | |||
600.2.w.j.293.7 | 32 | 120.77 | even | 4 | |||
600.2.w.j.293.10 | 32 | 40.37 | odd | 4 | |||
600.2.w.j.293.15 | 32 | 5.2 | odd | 4 | |||
600.2.w.j.557.2 | 32 | 40.29 | even | 2 | |||
600.2.w.j.557.7 | 32 | 5.4 | even | 2 | |||
600.2.w.j.557.10 | 32 | 15.14 | odd | 2 | |||
600.2.w.j.557.15 | 32 | 120.29 | odd | 2 |