Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(131,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bj (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 171.9 | ||
Character | \(\chi\) | \(=\) | 280.171 |
Dual form | 280.2.bj.f.131.9 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.959261 | − | 1.03914i | 0.678300 | − | 0.734785i | ||||
\(3\) | 2.75363 | + | 1.58981i | 1.58981 | + | 0.917878i | 0.993337 | + | 0.115247i | \(0.0367658\pi\) |
0.596475 | + | 0.802632i | \(0.296568\pi\) | |||||||
\(4\) | −0.159637 | − | 1.99362i | −0.0798186 | − | 0.996809i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 4.29350 | − | 1.33638i | 1.75281 | − | 0.545574i | ||||
\(7\) | −1.04250 | + | 2.43170i | −0.394030 | + | 0.919098i | ||||
\(8\) | −2.22479 | − | 1.74651i | −0.786582 | − | 0.617486i | ||||
\(9\) | 3.55500 | + | 6.15745i | 1.18500 | + | 2.05248i | ||||
\(10\) | −1.37955 | − | 0.311173i | −0.436254 | − | 0.0984014i | ||||
\(11\) | 1.21003 | − | 2.09584i | 0.364838 | − | 0.631919i | −0.623912 | − | 0.781495i | \(-0.714458\pi\) |
0.988750 | + | 0.149576i | \(0.0477909\pi\) | |||||||
\(12\) | 2.72990 | − | 5.74349i | 0.788053 | − | 1.65800i | ||||
\(13\) | −1.53832 | −0.426654 | −0.213327 | − | 0.976981i | \(-0.568430\pi\) | ||||
−0.213327 | + | 0.976981i | \(0.568430\pi\) | |||||||
\(14\) | 1.52685 | + | 3.41595i | 0.408069 | + | 0.912951i | ||||
\(15\) | − | 3.17962i | − | 0.820975i | ||||||
\(16\) | −3.94903 | + | 0.636512i | −0.987258 | + | 0.159128i | ||||
\(17\) | −6.58087 | − | 3.79947i | −1.59610 | − | 0.921506i | −0.992230 | − | 0.124421i | \(-0.960293\pi\) |
−0.603866 | − | 0.797086i | \(-0.706374\pi\) | |||||||
\(18\) | 9.80864 | + | 2.21244i | 2.31192 | + | 0.521477i | ||||
\(19\) | −1.52991 | + | 0.883293i | −0.350985 | + | 0.202641i | −0.665119 | − | 0.746737i | \(-0.731619\pi\) |
0.314134 | + | 0.949379i | \(0.398286\pi\) | |||||||
\(20\) | −1.64671 | + | 1.13506i | −0.368215 | + | 0.253807i | ||||
\(21\) | −6.73663 | + | 5.03864i | −1.47005 | + | 1.09952i | ||||
\(22\) | −1.01714 | − | 3.26785i | −0.216855 | − | 0.696708i | ||||
\(23\) | 5.66247 | − | 3.26923i | 1.18071 | − | 0.681681i | 0.224528 | − | 0.974468i | \(-0.427916\pi\) |
0.956178 | + | 0.292787i | \(0.0945826\pi\) | |||||||
\(24\) | −3.34963 | − | 8.34626i | −0.683740 | − | 1.70367i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −1.47565 | + | 1.59854i | −0.289399 | + | 0.313499i | ||||
\(27\) | 13.0683i | 2.51499i | ||||||||
\(28\) | 5.01431 | + | 1.69017i | 0.947616 | + | 0.319411i | ||||
\(29\) | 2.34486i | 0.435430i | 0.976012 | + | 0.217715i | \(0.0698604\pi\) | ||||
−0.976012 | + | 0.217715i | \(0.930140\pi\) | |||||||
\(30\) | −3.30408 | − | 3.05009i | −0.603241 | − | 0.556867i | ||||
\(31\) | −1.04132 | + | 1.80363i | −0.187027 | + | 0.323941i | −0.944258 | − | 0.329207i | \(-0.893219\pi\) |
0.757230 | + | 0.653148i | \(0.226552\pi\) | |||||||
\(32\) | −3.12672 | + | 4.71419i | −0.552732 | + | 0.833359i | ||||
\(33\) | 6.66397 | − | 3.84745i | 1.16005 | − | 0.669754i | ||||
\(34\) | −10.2610 | + | 3.19379i | −1.75974 | + | 0.547730i | ||||
\(35\) | 2.62717 | − | 0.313017i | 0.444073 | − | 0.0529095i | ||||
\(36\) | 11.7081 | − | 8.07028i | 1.95135 | − | 1.34505i | ||||
\(37\) | 2.47037 | − | 1.42627i | 0.406126 | − | 0.234477i | −0.282998 | − | 0.959121i | \(-0.591329\pi\) |
0.689124 | + | 0.724644i | \(0.257996\pi\) | |||||||
\(38\) | −0.549713 | + | 2.43710i | −0.0891753 | + | 0.395350i | ||||
\(39\) | −4.23598 | − | 2.44564i | −0.678300 | − | 0.391617i | ||||
\(40\) | −0.400131 | + | 2.79998i | −0.0632663 | + | 0.442716i | ||||
\(41\) | 6.90356i | 1.07815i | 0.842256 | + | 0.539077i | \(0.181227\pi\) | ||||
−0.842256 | + | 0.539077i | \(0.818773\pi\) | |||||||
\(42\) | −1.22632 | + | 11.8337i | −0.189225 | + | 1.82598i | ||||
\(43\) | −1.39343 | −0.212496 | −0.106248 | − | 0.994340i | \(-0.533884\pi\) | ||||
−0.106248 | + | 0.994340i | \(0.533884\pi\) | |||||||
\(44\) | −4.37147 | − | 2.07777i | −0.659023 | − | 0.313235i | ||||
\(45\) | 3.55500 | − | 6.15745i | 0.529949 | − | 0.917898i | ||||
\(46\) | 2.03459 | − | 9.02015i | 0.299984 | − | 1.32995i | ||||
\(47\) | −5.65799 | − | 9.79993i | −0.825303 | − | 1.42947i | −0.901688 | − | 0.432388i | \(-0.857671\pi\) |
0.0763851 | − | 0.997078i | \(-0.475662\pi\) | |||||||
\(48\) | −11.8861 | − | 4.52550i | −1.71561 | − | 0.653199i | ||||
\(49\) | −4.82637 | − | 5.07012i | −0.689481 | − | 0.724304i | ||||
\(50\) | 0.420294 | + | 1.35032i | 0.0594385 | + | 0.190964i | ||||
\(51\) | −12.0809 | − | 20.9247i | −1.69166 | − | 2.93004i | ||||
\(52\) | 0.245574 | + | 3.06683i | 0.0340549 | + | 0.425293i | ||||
\(53\) | 6.82251 | + | 3.93898i | 0.937144 | + | 0.541060i | 0.889064 | − | 0.457783i | \(-0.151356\pi\) |
0.0480800 | + | 0.998843i | \(0.484690\pi\) | |||||||
\(54\) | 13.5798 | + | 12.5359i | 1.84798 | + | 1.70592i | ||||
\(55\) | −2.42006 | −0.326321 | ||||||||
\(56\) | 6.56636 | − | 3.58928i | 0.877467 | − | 0.479638i | ||||
\(57\) | −5.61708 | −0.744000 | ||||||||
\(58\) | 2.43665 | + | 2.24934i | 0.319948 | + | 0.295352i | ||||
\(59\) | 4.90087 | + | 2.82952i | 0.638038 | + | 0.368372i | 0.783859 | − | 0.620939i | \(-0.213249\pi\) |
−0.145820 | + | 0.989311i | \(0.546582\pi\) | |||||||
\(60\) | −6.33896 | + | 0.507586i | −0.818356 | + | 0.0655291i | ||||
\(61\) | 4.93580 | + | 8.54905i | 0.631964 | + | 1.09459i | 0.987150 | + | 0.159798i | \(0.0510844\pi\) |
−0.355186 | + | 0.934796i | \(0.615582\pi\) | |||||||
\(62\) | 0.875325 | + | 2.81223i | 0.111166 | + | 0.357154i | ||||
\(63\) | −18.6792 | + | 2.22555i | −2.35336 | + | 0.280393i | ||||
\(64\) | 1.89937 | + | 7.77125i | 0.237422 | + | 0.971407i | ||||
\(65\) | 0.769162 | + | 1.33223i | 0.0954027 | + | 0.165242i | ||||
\(66\) | 2.39444 | − | 10.6155i | 0.294735 | − | 1.30668i | ||||
\(67\) | 3.13260 | − | 5.42583i | 0.382708 | − | 0.662870i | −0.608740 | − | 0.793370i | \(-0.708325\pi\) |
0.991448 | + | 0.130499i | \(0.0416581\pi\) | |||||||
\(68\) | −6.52414 | + | 13.7263i | −0.791168 | + | 1.66456i | ||||
\(69\) | 20.7898 | 2.50280 | ||||||||
\(70\) | 2.19487 | − | 3.03027i | 0.262337 | − | 0.362187i | ||||
\(71\) | 3.98199i | 0.472575i | 0.971683 | + | 0.236287i | \(0.0759307\pi\) | ||||
−0.971683 | + | 0.236287i | \(0.924069\pi\) | |||||||
\(72\) | 2.84494 | − | 19.9079i | 0.335279 | − | 2.34617i | ||||
\(73\) | −2.73292 | − | 1.57785i | −0.319865 | − | 0.184674i | 0.331468 | − | 0.943467i | \(-0.392456\pi\) |
−0.651332 | + | 0.758793i | \(0.725790\pi\) | |||||||
\(74\) | 0.887631 | − | 3.93523i | 0.103185 | − | 0.457461i | ||||
\(75\) | −2.75363 | + | 1.58981i | −0.317962 | + | 0.183576i | ||||
\(76\) | 2.00518 | + | 2.90905i | 0.230010 | + | 0.333691i | ||||
\(77\) | 3.83499 | + | 5.12736i | 0.437038 | + | 0.584317i | ||||
\(78\) | −6.60478 | + | 2.05578i | −0.747845 | + | 0.232771i | ||||
\(79\) | −1.75753 | + | 1.01471i | −0.197738 | + | 0.114164i | −0.595600 | − | 0.803281i | \(-0.703086\pi\) |
0.397862 | + | 0.917445i | \(0.369752\pi\) | |||||||
\(80\) | 2.52575 | + | 3.10171i | 0.282388 | + | 0.346781i | ||||
\(81\) | −10.1111 | + | 17.5129i | −1.12345 | + | 1.94588i | ||||
\(82\) | 7.17379 | + | 6.62231i | 0.792212 | + | 0.731312i | ||||
\(83\) | − | 0.288923i | − | 0.0317134i | −0.999874 | − | 0.0158567i | \(-0.994952\pi\) | ||
0.999874 | − | 0.0158567i | \(-0.00504756\pi\) | |||||||
\(84\) | 11.1205 | + | 12.6259i | 1.21335 | + | 1.37760i | ||||
\(85\) | 7.59894i | 0.824220i | ||||||||
\(86\) | −1.33666 | + | 1.44797i | −0.144136 | + | 0.156139i | ||||
\(87\) | −3.72789 | + | 6.45690i | −0.399672 | + | 0.692252i | ||||
\(88\) | −6.35248 | + | 2.54946i | −0.677176 | + | 0.271773i | ||||
\(89\) | 12.0399 | − | 6.95124i | 1.27623 | − | 0.736830i | 0.300074 | − | 0.953916i | \(-0.402989\pi\) |
0.976152 | + | 0.217086i | \(0.0696553\pi\) | |||||||
\(90\) | −2.98829 | − | 9.60076i | −0.314994 | − | 1.01201i | ||||
\(91\) | 1.60371 | − | 3.74075i | 0.168114 | − | 0.392137i | ||||
\(92\) | −7.42153 | − | 10.7669i | −0.773748 | − | 1.12253i | ||||
\(93\) | −5.73485 | + | 3.31102i | −0.594677 | + | 0.343337i | ||||
\(94\) | −15.6110 | − | 3.52122i | −1.61015 | − | 0.363186i | ||||
\(95\) | 1.52991 | + | 0.883293i | 0.156965 | + | 0.0906240i | ||||
\(96\) | −16.1045 | + | 8.01026i | −1.64366 | + | 0.817543i | ||||
\(97\) | 0.249149i | 0.0252972i | 0.999920 | + | 0.0126486i | \(0.00402629\pi\) | ||||
−0.999920 | + | 0.0126486i | \(0.995974\pi\) | |||||||
\(98\) | −9.89833 | + | 0.151716i | −0.999883 | + | 0.0153256i | ||||
\(99\) | 17.2067 | 1.72934 | ||||||||
\(100\) | 1.80634 | + | 0.858559i | 0.180634 | + | 0.0858559i | ||||
\(101\) | −4.87755 | + | 8.44817i | −0.485335 | + | 0.840624i | −0.999858 | − | 0.0168520i | \(-0.994636\pi\) |
0.514523 | + | 0.857476i | \(0.327969\pi\) | |||||||
\(102\) | −33.3325 | − | 7.51848i | −3.30041 | − | 0.744440i | ||||
\(103\) | −2.99947 | − | 5.19523i | −0.295546 | − | 0.511902i | 0.679565 | − | 0.733615i | \(-0.262168\pi\) |
−0.975112 | + | 0.221713i | \(0.928835\pi\) | |||||||
\(104\) | 3.42244 | + | 2.68670i | 0.335598 | + | 0.263453i | ||||
\(105\) | 7.73190 | + | 3.31477i | 0.754557 | + | 0.323489i | ||||
\(106\) | 10.6377 | − | 3.31106i | 1.03323 | − | 0.321598i | ||||
\(107\) | −0.0626308 | − | 0.108480i | −0.00605475 | − | 0.0104871i | 0.862982 | − | 0.505234i | \(-0.168594\pi\) |
−0.869037 | + | 0.494747i | \(0.835261\pi\) | |||||||
\(108\) | 26.0532 | − | 2.08618i | 2.50697 | − | 0.200743i | ||||
\(109\) | −0.399788 | − | 0.230818i | −0.0382928 | − | 0.0221083i | 0.480731 | − | 0.876868i | \(-0.340371\pi\) |
−0.519024 | + | 0.854760i | \(0.673705\pi\) | |||||||
\(110\) | −2.32147 | + | 2.51479i | −0.221344 | + | 0.239776i | ||||
\(111\) | 9.06999 | 0.860885 | ||||||||
\(112\) | 2.56908 | − | 10.2664i | 0.242755 | − | 0.970088i | ||||
\(113\) | −9.65049 | −0.907842 | −0.453921 | − | 0.891042i | \(-0.649975\pi\) | ||||
−0.453921 | + | 0.891042i | \(0.649975\pi\) | |||||||
\(114\) | −5.38824 | + | 5.83695i | −0.504655 | + | 0.546680i | ||||
\(115\) | −5.66247 | − | 3.26923i | −0.528028 | − | 0.304857i | ||||
\(116\) | 4.67477 | − | 0.374328i | 0.434041 | − | 0.0347555i | ||||
\(117\) | −5.46874 | − | 9.47214i | −0.505586 | − | 0.875700i | ||||
\(118\) | 7.64148 | − | 2.37846i | 0.703455 | − | 0.218955i | ||||
\(119\) | 16.0998 | − | 12.0418i | 1.47586 | − | 1.10387i | ||||
\(120\) | −5.55326 | + | 7.07399i | −0.506941 | + | 0.645764i | ||||
\(121\) | 2.57165 | + | 4.45422i | 0.233786 | + | 0.404929i | ||||
\(122\) | 13.6184 | + | 3.07177i | 1.23295 | + | 0.278105i | ||||
\(123\) | −10.9754 | + | 19.0099i | −0.989615 | + | 1.71406i | ||||
\(124\) | 3.76198 | + | 1.78808i | 0.337836 | + | 0.160574i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −15.6056 | + | 21.5452i | −1.39025 | + | 1.91940i | ||||
\(127\) | − | 9.40385i | − | 0.834457i | −0.908802 | − | 0.417229i | \(-0.863001\pi\) | ||
0.908802 | − | 0.417229i | \(-0.136999\pi\) | |||||||
\(128\) | 9.89744 | + | 5.48094i | 0.874818 | + | 0.484451i | ||||
\(129\) | −3.83699 | − | 2.21529i | −0.337828 | − | 0.195045i | ||||
\(130\) | 2.12220 | + | 0.478684i | 0.186129 | + | 0.0419834i | ||||
\(131\) | 16.2949 | − | 9.40788i | 1.42369 | − | 0.821970i | 0.427082 | − | 0.904213i | \(-0.359541\pi\) |
0.996612 | + | 0.0822423i | \(0.0262081\pi\) | |||||||
\(132\) | −8.73416 | − | 12.6712i | −0.760211 | − | 1.10289i | ||||
\(133\) | −0.552971 | − | 4.64112i | −0.0479486 | − | 0.402436i | ||||
\(134\) | −2.63323 | − | 8.46001i | −0.227476 | − | 0.730833i | ||||
\(135\) | 11.3175 | − | 6.53414i | 0.974052 | − | 0.562369i | ||||
\(136\) | 8.00523 | + | 19.9466i | 0.686443 | + | 1.71041i | ||||
\(137\) | 7.55473 | − | 13.0852i | 0.645444 | − | 1.11794i | −0.338755 | − | 0.940875i | \(-0.610006\pi\) |
0.984199 | − | 0.177067i | \(-0.0566609\pi\) | |||||||
\(138\) | 19.9429 | − | 21.6036i | 1.69765 | − | 1.83902i | ||||
\(139\) | 11.1193i | 0.943129i | 0.881831 | + | 0.471565i | \(0.156311\pi\) | ||||
−0.881831 | + | 0.471565i | \(0.843689\pi\) | |||||||
\(140\) | −1.04343 | − | 5.18761i | −0.0881859 | − | 0.438433i | ||||
\(141\) | − | 35.9806i | − | 3.03011i | ||||||
\(142\) | 4.13786 | + | 3.81976i | 0.347241 | + | 0.320548i | ||||
\(143\) | −1.86142 | + | 3.22407i | −0.155660 | + | 0.269611i | ||||
\(144\) | −17.9581 | − | 22.0532i | −1.49651 | − | 1.83776i | ||||
\(145\) | 2.03071 | − | 1.17243i | 0.168641 | − | 0.0973652i | ||||
\(146\) | −4.26120 | + | 1.32633i | −0.352660 | + | 0.109767i | ||||
\(147\) | −5.22951 | − | 21.6343i | −0.431323 | − | 1.78437i | ||||
\(148\) | −3.23780 | − | 4.69729i | −0.266145 | − | 0.386115i | ||||
\(149\) | 9.67998 | − | 5.58874i | 0.793014 | − | 0.457847i | −0.0480082 | − | 0.998847i | \(-0.515287\pi\) |
0.841023 | + | 0.541000i | \(0.181954\pi\) | |||||||
\(150\) | −0.989412 | + | 4.38647i | −0.0807851 | + | 0.358153i | ||||
\(151\) | −13.1832 | − | 7.61131i | −1.07283 | − | 0.619399i | −0.143878 | − | 0.989595i | \(-0.545957\pi\) |
−0.928954 | + | 0.370196i | \(0.879290\pi\) | |||||||
\(152\) | 4.94641 | + | 0.706866i | 0.401207 | + | 0.0573344i | ||||
\(153\) | − | 54.0285i | − | 4.36794i | ||||||
\(154\) | 9.00682 | + | 0.933370i | 0.725790 | + | 0.0752131i | ||||
\(155\) | 2.08265 | 0.167282 | ||||||||
\(156\) | −4.19946 | + | 8.83535i | −0.336226 | + | 0.707394i | ||||
\(157\) | −0.357836 | + | 0.619791i | −0.0285584 | + | 0.0494647i | −0.879951 | − | 0.475064i | \(-0.842425\pi\) |
0.851393 | + | 0.524528i | \(0.175758\pi\) | |||||||
\(158\) | −0.631502 | + | 2.79970i | −0.0502396 | + | 0.222733i | ||||
\(159\) | 12.5245 | + | 21.6930i | 0.993255 | + | 1.72037i | ||||
\(160\) | 5.64597 | + | 0.350728i | 0.446353 | + | 0.0277275i | ||||
\(161\) | 2.04664 | + | 17.1776i | 0.161298 | + | 1.35379i | ||||
\(162\) | 8.49926 | + | 27.3063i | 0.667765 | + | 2.14539i | ||||
\(163\) | 0.890005 | + | 1.54153i | 0.0697105 | + | 0.120742i | 0.898774 | − | 0.438413i | \(-0.144459\pi\) |
−0.829063 | + | 0.559155i | \(0.811126\pi\) | |||||||
\(164\) | 13.7631 | − | 1.10207i | 1.07471 | − | 0.0860568i | ||||
\(165\) | −6.66397 | − | 3.84745i | −0.518790 | − | 0.299523i | ||||
\(166\) | −0.300233 | − | 0.277153i | −0.0233026 | − | 0.0215112i | ||||
\(167\) | −5.69155 | −0.440426 | −0.220213 | − | 0.975452i | \(-0.570675\pi\) | ||||
−0.220213 | + | 0.975452i | \(0.570675\pi\) | |||||||
\(168\) | 23.7876 | + | 0.555710i | 1.83526 | + | 0.0428739i | ||||
\(169\) | −10.6336 | −0.817966 | ||||||||
\(170\) | 7.89638 | + | 7.28936i | 0.605625 | + | 0.559069i | ||||
\(171\) | −10.8777 | − | 6.28022i | −0.831835 | − | 0.480260i | ||||
\(172\) | 0.222443 | + | 2.77796i | 0.0169611 | + | 0.211818i | ||||
\(173\) | 9.46941 | + | 16.4015i | 0.719946 | + | 1.24698i | 0.961021 | + | 0.276476i | \(0.0891666\pi\) |
−0.241075 | + | 0.970506i | \(0.577500\pi\) | |||||||
\(174\) | 3.13362 | + | 10.0677i | 0.237559 | + | 0.763228i | ||||
\(175\) | −1.58467 | − | 2.11869i | −0.119789 | − | 0.160158i | ||||
\(176\) | −3.44443 | + | 9.04673i | −0.259634 | + | 0.681923i | ||||
\(177\) | 8.99680 | + | 15.5829i | 0.676241 | + | 1.17128i | ||||
\(178\) | 4.32607 | − | 19.1792i | 0.324253 | − | 1.43754i | ||||
\(179\) | −1.49172 | + | 2.58374i | −0.111497 | + | 0.193118i | −0.916374 | − | 0.400323i | \(-0.868898\pi\) |
0.804877 | + | 0.593441i | \(0.202231\pi\) | |||||||
\(180\) | −12.8431 | − | 6.10436i | −0.957269 | − | 0.454992i | ||||
\(181\) | −14.9790 | −1.11338 | −0.556691 | − | 0.830720i | \(-0.687929\pi\) | ||||
−0.556691 | + | 0.830720i | \(0.687929\pi\) | |||||||
\(182\) | −2.34880 | − | 5.25483i | −0.174104 | − | 0.389514i | ||||
\(183\) | 31.3880i | 2.32026i | ||||||||
\(184\) | −18.3075 | − | 2.61624i | −1.34965 | − | 0.192872i | ||||
\(185\) | −2.47037 | − | 1.42627i | −0.181625 | − | 0.104861i | ||||
\(186\) | −2.06060 | + | 9.13547i | −0.151090 | + | 0.669845i | ||||
\(187\) | −15.9261 | + | 9.19496i | −1.16463 | + | 0.672402i | ||||
\(188\) | −18.6341 | + | 12.8443i | −1.35903 | + | 0.936767i | ||||
\(189\) | −31.7782 | − | 13.6237i | −2.31152 | − | 0.990981i | ||||
\(190\) | 2.38545 | − | 0.742486i | 0.173059 | − | 0.0538656i | ||||
\(191\) | 22.4510 | − | 12.9621i | 1.62450 | − | 0.937904i | 0.638801 | − | 0.769372i | \(-0.279431\pi\) |
0.985696 | − | 0.168532i | \(-0.0539026\pi\) | |||||||
\(192\) | −7.12465 | + | 24.4188i | −0.514177 | + | 1.76228i | ||||
\(193\) | −3.55040 | + | 6.14947i | −0.255563 | + | 0.442648i | −0.965048 | − | 0.262072i | \(-0.915594\pi\) |
0.709485 | + | 0.704720i | \(0.248928\pi\) | |||||||
\(194\) | 0.258901 | + | 0.238999i | 0.0185880 | + | 0.0171591i | ||||
\(195\) | 4.89129i | 0.350272i | ||||||||
\(196\) | −9.33743 | + | 10.4313i | −0.666959 | + | 0.745094i | ||||
\(197\) | 0.614082i | 0.0437515i | 0.999761 | + | 0.0218758i | \(0.00696383\pi\) | ||||
−0.999761 | + | 0.0218758i | \(0.993036\pi\) | |||||||
\(198\) | 16.5057 | − | 17.8802i | 1.17301 | − | 1.27069i | ||||
\(199\) | 4.47143 | − | 7.74474i | 0.316971 | − | 0.549010i | −0.662884 | − | 0.748723i | \(-0.730668\pi\) |
0.979854 | + | 0.199713i | \(0.0640009\pi\) | |||||||
\(200\) | 2.62492 | − | 1.05347i | 0.185610 | − | 0.0744913i | ||||
\(201\) | 17.2521 | − | 9.96050i | 1.21687 | − | 0.702559i | ||||
\(202\) | 4.10001 | + | 13.1725i | 0.288476 | + | 0.926812i | ||||
\(203\) | −5.70202 | − | 2.44453i | −0.400203 | − | 0.171572i | ||||
\(204\) | −39.7873 | + | 27.4250i | −2.78567 | + | 1.92014i | ||||
\(205\) | 5.97866 | − | 3.45178i | 0.417568 | − | 0.241083i | ||||
\(206\) | −8.27586 | − | 1.86671i | −0.576607 | − | 0.130060i | ||||
\(207\) | 40.2602 | + | 23.2442i | 2.79828 | + | 1.61559i | ||||
\(208\) | 6.07489 | − | 0.979161i | 0.421218 | − | 0.0678926i | ||||
\(209\) | 4.27525i | 0.295725i | ||||||||
\(210\) | 10.8614 | − | 4.85482i | 0.749510 | − | 0.335015i | ||||
\(211\) | 10.6756 | 0.734942 | 0.367471 | − | 0.930035i | \(-0.380224\pi\) | ||||
0.367471 | + | 0.930035i | \(0.380224\pi\) | |||||||
\(212\) | 6.76369 | − | 14.2303i | 0.464532 | − | 0.977341i | ||||
\(213\) | −6.33061 | + | 10.9649i | −0.433766 | + | 0.751305i | ||||
\(214\) | −0.172805 | − | 0.0389780i | −0.0118127 | − | 0.00266448i | ||||
\(215\) | 0.696713 | + | 1.20674i | 0.0475154 | + | 0.0822992i | ||||
\(216\) | 22.8239 | − | 29.0742i | 1.55297 | − | 1.97825i | ||||
\(217\) | −3.30030 | − | 4.41248i | −0.224039 | − | 0.299539i | ||||
\(218\) | −0.623354 | + | 0.194023i | −0.0422189 | + | 0.0131409i | ||||
\(219\) | −5.01698 | − | 8.68967i | −0.339016 | − | 0.587194i | ||||
\(220\) | 0.386332 | + | 4.82469i | 0.0260465 | + | 0.325280i | ||||
\(221\) | 10.1235 | + | 5.84481i | 0.680981 | + | 0.393164i | ||||
\(222\) | 8.70048 | − | 9.42502i | 0.583938 | − | 0.632566i | ||||
\(223\) | −1.40260 | −0.0939252 | −0.0469626 | − | 0.998897i | \(-0.514954\pi\) | ||||
−0.0469626 | + | 0.998897i | \(0.514954\pi\) | |||||||
\(224\) | −8.20389 | − | 12.5178i | −0.548146 | − | 0.836383i | ||||
\(225\) | −7.11001 | −0.474000 | ||||||||
\(226\) | −9.25734 | + | 10.0282i | −0.615789 | + | 0.667069i | ||||
\(227\) | 3.48428 | + | 2.01165i | 0.231260 | + | 0.133518i | 0.611153 | − | 0.791512i | \(-0.290706\pi\) |
−0.379893 | + | 0.925030i | \(0.624039\pi\) | |||||||
\(228\) | 0.896695 | + | 11.1983i | 0.0593851 | + | 0.741626i | ||||
\(229\) | −10.8680 | − | 18.8239i | −0.718178 | − | 1.24392i | −0.961721 | − | 0.274031i | \(-0.911643\pi\) |
0.243542 | − | 0.969890i | \(-0.421690\pi\) | |||||||
\(230\) | −8.82898 | + | 2.74807i | −0.582165 | + | 0.181203i | ||||
\(231\) | 2.40863 | + | 20.2158i | 0.158476 | + | 1.33010i | ||||
\(232\) | 4.09534 | − | 5.21683i | 0.268872 | − | 0.342502i | ||||
\(233\) | 5.69230 | + | 9.85935i | 0.372915 | + | 0.645907i | 0.990013 | − | 0.140979i | \(-0.0450251\pi\) |
−0.617098 | + | 0.786886i | \(0.711692\pi\) | |||||||
\(234\) | −15.0889 | − | 3.40345i | −0.986390 | − | 0.222490i | ||||
\(235\) | −5.65799 | + | 9.79993i | −0.369087 | + | 0.639277i | ||||
\(236\) | 4.85862 | − | 10.2222i | 0.316269 | − | 0.665406i | ||||
\(237\) | −6.45281 | −0.419155 | ||||||||
\(238\) | 2.93076 | − | 28.2812i | 0.189973 | − | 1.83320i | ||||
\(239\) | − | 25.7524i | − | 1.66578i | −0.553435 | − | 0.832892i | \(-0.686683\pi\) | ||
0.553435 | − | 0.832892i | \(-0.313317\pi\) | |||||||
\(240\) | 2.02387 | + | 12.5564i | 0.130640 | + | 0.810514i | ||||
\(241\) | −1.67062 | − | 0.964530i | −0.107614 | − | 0.0621309i | 0.445227 | − | 0.895418i | \(-0.353123\pi\) |
−0.552841 | + | 0.833287i | \(0.686456\pi\) | |||||||
\(242\) | 7.09545 | + | 1.60045i | 0.456113 | + | 0.102881i | ||||
\(243\) | −21.7321 | + | 12.5470i | −1.39412 | + | 0.804893i | ||||
\(244\) | 16.2556 | − | 11.2048i | 1.04066 | − | 0.717317i | ||||
\(245\) | −1.97767 | + | 6.71482i | −0.126349 | + | 0.428994i | ||||
\(246\) | 9.22576 | + | 29.6404i | 0.588213 | + | 1.88980i | ||||
\(247\) | 2.35349 | − | 1.35879i | 0.149749 | − | 0.0864577i | ||||
\(248\) | 5.46679 | − | 2.19400i | 0.347141 | − | 0.139319i | ||||
\(249\) | 0.459334 | − | 0.795589i | 0.0291091 | − | 0.0504184i | ||||
\(250\) | 0.959261 | − | 1.03914i | 0.0606690 | − | 0.0657212i | ||||
\(251\) | 12.9948i | 0.820222i | 0.912036 | + | 0.410111i | \(0.134510\pi\) | ||||
−0.912036 | + | 0.410111i | \(0.865490\pi\) | |||||||
\(252\) | 7.41879 | + | 36.8839i | 0.467340 | + | 2.32347i | ||||
\(253\) | − | 15.8235i | − | 0.994813i | ||||||
\(254\) | −9.77195 | − | 9.02075i | −0.613147 | − | 0.566012i | ||||
\(255\) | −12.0809 | + | 20.9247i | −0.756534 | + | 1.31036i | ||||
\(256\) | 15.1897 | − | 5.02721i | 0.949357 | − | 0.314201i | ||||
\(257\) | −14.4110 | + | 8.32019i | −0.898933 | + | 0.518999i | −0.876854 | − | 0.480757i | \(-0.840362\pi\) |
−0.0220792 | + | 0.999756i | \(0.507029\pi\) | |||||||
\(258\) | −5.98267 | + | 1.86214i | −0.372465 | + | 0.115932i | ||||
\(259\) | 0.892891 | + | 7.49409i | 0.0554815 | + | 0.465660i | ||||
\(260\) | 2.53317 | − | 1.74609i | 0.157100 | − | 0.108288i | ||||
\(261\) | −14.4384 | + | 8.33600i | −0.893713 | + | 0.515985i | ||||
\(262\) | 5.85495 | − | 25.9574i | 0.361720 | − | 1.60365i | ||||
\(263\) | 5.95477 | + | 3.43799i | 0.367187 | + | 0.211995i | 0.672229 | − | 0.740343i | \(-0.265337\pi\) |
−0.305042 | + | 0.952339i | \(0.598670\pi\) | |||||||
\(264\) | −21.5456 | − | 3.07897i | −1.32604 | − | 0.189497i | ||||
\(265\) | − | 7.87796i | − | 0.483939i | ||||||
\(266\) | −5.35323 | − | 3.87743i | −0.328228 | − | 0.237740i | ||||
\(267\) | 44.2046 | 2.70528 | ||||||||
\(268\) | −11.3171 | − | 5.37905i | −0.691303 | − | 0.328578i | ||||
\(269\) | −11.0639 | + | 19.1633i | −0.674580 | + | 1.16841i | 0.302012 | + | 0.953304i | \(0.402342\pi\) |
−0.976591 | + | 0.215102i | \(0.930991\pi\) | |||||||
\(270\) | 4.06649 | − | 18.0284i | 0.247479 | − | 1.09717i | ||||
\(271\) | 5.29547 | + | 9.17203i | 0.321677 | + | 0.557161i | 0.980834 | − | 0.194844i | \(-0.0624201\pi\) |
−0.659157 | + | 0.752005i | \(0.729087\pi\) | |||||||
\(272\) | 28.4065 | + | 10.8154i | 1.72240 | + | 0.655781i | ||||
\(273\) | 10.3631 | − | 7.75105i | 0.627204 | − | 0.469115i | ||||
\(274\) | −6.35041 | − | 20.4025i | −0.383642 | − | 1.23256i | ||||
\(275\) | 1.21003 | + | 2.09584i | 0.0729677 | + | 0.126384i | ||||
\(276\) | −3.31883 | − | 41.4470i | −0.199770 | − | 2.49481i | ||||
\(277\) | −16.5032 | − | 9.52815i | −0.991583 | − | 0.572491i | −0.0858360 | − | 0.996309i | \(-0.527356\pi\) |
−0.905747 | + | 0.423818i | \(0.860689\pi\) | |||||||
\(278\) | 11.5546 | + | 10.6663i | 0.692997 | + | 0.639724i | ||||
\(279\) | −14.8076 | −0.886511 | ||||||||
\(280\) | −6.39159 | − | 3.89199i | −0.381970 | − | 0.232591i | ||||
\(281\) | −17.6280 | −1.05160 | −0.525799 | − | 0.850609i | \(-0.676234\pi\) | ||||
−0.525799 | + | 0.850609i | \(0.676234\pi\) | |||||||
\(282\) | −37.3890 | − | 34.5147i | −2.22648 | − | 2.05532i | ||||
\(283\) | 0.485654 | + | 0.280393i | 0.0288691 | + | 0.0166676i | 0.514365 | − | 0.857571i | \(-0.328028\pi\) |
−0.485496 | + | 0.874239i | \(0.661361\pi\) | |||||||
\(284\) | 7.93857 | − | 0.635674i | 0.471067 | − | 0.0377203i | ||||
\(285\) | 2.80854 | + | 4.86453i | 0.166364 | + | 0.288150i | ||||
\(286\) | 1.56469 | + | 5.02701i | 0.0925219 | + | 0.297253i | ||||
\(287\) | −16.7874 | − | 7.19699i | −0.990930 | − | 0.424825i | ||||
\(288\) | −40.1429 | − | 2.49368i | −2.36544 | − | 0.146941i | ||||
\(289\) | 20.3719 | + | 35.2852i | 1.19835 | + | 2.07560i | ||||
\(290\) | 0.729658 | − | 3.23487i | 0.0428470 | − | 0.189958i | ||||
\(291\) | −0.396100 | + | 0.686065i | −0.0232198 | + | 0.0402179i | ||||
\(292\) | −2.70936 | + | 5.70029i | −0.158554 | + | 0.333584i | ||||
\(293\) | −23.8016 | −1.39051 | −0.695253 | − | 0.718765i | \(-0.744708\pi\) | ||||
−0.695253 | + | 0.718765i | \(0.744708\pi\) | |||||||
\(294\) | −27.4976 | − | 15.3187i | −1.60369 | − | 0.893406i | ||||
\(295\) | − | 5.65903i | − | 0.329482i | ||||||
\(296\) | −7.98704 | − | 1.14139i | −0.464238 | − | 0.0663419i | ||||
\(297\) | 27.3890 | + | 15.8130i | 1.58927 | + | 0.917565i | ||||
\(298\) | 3.47812 | − | 15.4199i | 0.201482 | − | 0.893253i | ||||
\(299\) | −8.71070 | + | 5.02913i | −0.503753 | + | 0.290842i | ||||
\(300\) | 3.60906 | + | 5.23591i | 0.208369 | + | 0.302295i | ||||
\(301\) | 1.45265 | − | 3.38840i | 0.0837295 | − | 0.195304i | ||||
\(302\) | −20.5553 | + | 6.39797i | −1.18283 | + | 0.368162i | ||||
\(303\) | −26.8620 | + | 15.5088i | −1.54318 | + | 0.890956i | ||||
\(304\) | 5.47943 | − | 4.46196i | 0.314267 | − | 0.255911i | ||||
\(305\) | 4.93580 | − | 8.54905i | 0.282623 | − | 0.489517i | ||||
\(306\) | −56.1433 | − | 51.8274i | −3.20950 | − | 2.96278i | ||||
\(307\) | − | 9.32160i | − | 0.532012i | −0.963971 | − | 0.266006i | \(-0.914296\pi\) | ||
0.963971 | − | 0.266006i | \(-0.0857041\pi\) | |||||||
\(308\) | 9.60979 | − | 8.46403i | 0.547569 | − | 0.482283i | ||||
\(309\) | − | 19.0744i | − | 1.08510i | ||||||
\(310\) | 1.99780 | − | 2.16417i | 0.113468 | − | 0.122917i | ||||
\(311\) | −2.73260 | + | 4.73300i | −0.154951 | + | 0.268384i | −0.933041 | − | 0.359769i | \(-0.882855\pi\) |
0.778090 | + | 0.628153i | \(0.216189\pi\) | |||||||
\(312\) | 5.15281 | + | 12.8392i | 0.291720 | + | 0.726879i | ||||
\(313\) | −19.9919 | + | 11.5423i | −1.13001 | + | 0.652412i | −0.943937 | − | 0.330124i | \(-0.892909\pi\) |
−0.186073 | + | 0.982536i | \(0.559576\pi\) | |||||||
\(314\) | 0.300793 | + | 0.966384i | 0.0169747 | + | 0.0545362i | ||||
\(315\) | 11.2670 | + | 15.0639i | 0.634822 | + | 0.848754i | ||||
\(316\) | 2.30352 | + | 3.34187i | 0.129583 | + | 0.187995i | ||||
\(317\) | −26.2154 | + | 15.1355i | −1.47241 | + | 0.850094i | −0.999518 | − | 0.0310291i | \(-0.990122\pi\) |
−0.472887 | + | 0.881123i | \(0.656788\pi\) | |||||||
\(318\) | 34.5564 | + | 7.79454i | 1.93783 | + | 0.437096i | ||||
\(319\) | 4.91445 | + | 2.83736i | 0.275157 | + | 0.158862i | ||||
\(320\) | 5.78042 | − | 5.53053i | 0.323135 | − | 0.309166i | ||||
\(321\) | − | 0.398285i | − | 0.0222301i | ||||||
\(322\) | 19.8133 | + | 14.3511i | 1.10415 | + | 0.799754i | ||||
\(323\) | 13.4242 | 0.746941 | ||||||||
\(324\) | 36.5282 | + | 17.3619i | 2.02934 | + | 0.964552i | ||||
\(325\) | 0.769162 | − | 1.33223i | 0.0426654 | − | 0.0738987i | ||||
\(326\) | 2.45562 | + | 0.553890i | 0.136004 | + | 0.0306771i | ||||
\(327\) | −0.733914 | − | 1.27118i | −0.0405855 | − | 0.0702962i | ||||
\(328\) | 12.0572 | − | 15.3590i | 0.665746 | − | 0.848057i | ||||
\(329\) | 29.7290 | − | 3.54209i | 1.63901 | − | 0.195282i | ||||
\(330\) | −10.3905 | + | 3.23412i | −0.571980 | + | 0.178032i | ||||
\(331\) | 0.262181 | + | 0.454110i | 0.0144108 | + | 0.0249602i | 0.873141 | − | 0.487468i | \(-0.162079\pi\) |
−0.858730 | + | 0.512428i | \(0.828746\pi\) | |||||||
\(332\) | −0.576003 | + | 0.0461229i | −0.0316123 | + | 0.00253132i | ||||
\(333\) | 17.5643 | + | 10.1408i | 0.962519 | + | 0.555711i | ||||
\(334\) | −5.45969 | + | 5.91434i | −0.298741 | + | 0.323618i | ||||
\(335\) | −6.26521 | −0.342305 | ||||||||
\(336\) | 23.3960 | − | 24.1857i | 1.27636 | − | 1.31944i | ||||
\(337\) | −3.41643 | −0.186105 | −0.0930524 | − | 0.995661i | \(-0.529662\pi\) | ||||
−0.0930524 | + | 0.995661i | \(0.529662\pi\) | |||||||
\(338\) | −10.2004 | + | 11.0498i | −0.554826 | + | 0.601030i | ||||
\(339\) | −26.5739 | − | 15.3425i | −1.44330 | − | 0.833288i | ||||
\(340\) | 15.1494 | − | 1.21307i | 0.821591 | − | 0.0657881i | ||||
\(341\) | 2.52007 | + | 4.36489i | 0.136470 | + | 0.236372i | ||||
\(342\) | −16.9606 | + | 5.27908i | −0.917122 | + | 0.285460i | ||||
\(343\) | 17.3606 | − | 6.45067i | 0.937382 | − | 0.348304i | ||||
\(344\) | 3.10008 | + | 2.43364i | 0.167145 | + | 0.131213i | ||||
\(345\) | −10.3949 | − | 18.0045i | −0.559643 | − | 0.969330i | ||||
\(346\) | 26.1271 | + | 5.89324i | 1.40460 | + | 0.316823i | ||||
\(347\) | 4.64349 | − | 8.04275i | 0.249275 | − | 0.431758i | −0.714050 | − | 0.700095i | \(-0.753141\pi\) |
0.963325 | + | 0.268337i | \(0.0864742\pi\) | |||||||
\(348\) | 13.4677 | + | 6.40124i | 0.721945 | + | 0.343142i | ||||
\(349\) | 18.6699 | 0.999374 | 0.499687 | − | 0.866206i | \(-0.333448\pi\) | ||||
0.499687 | + | 0.866206i | \(0.333448\pi\) | |||||||
\(350\) | −3.72173 | − | 0.385680i | −0.198935 | − | 0.0206155i | ||||
\(351\) | − | 20.1032i | − | 1.07303i | ||||||
\(352\) | 6.09674 | + | 12.2574i | 0.324957 | + | 0.653323i | ||||
\(353\) | −11.7057 | − | 6.75828i | −0.623030 | − | 0.359707i | 0.155018 | − | 0.987912i | \(-0.450457\pi\) |
−0.778048 | + | 0.628205i | \(0.783790\pi\) | |||||||
\(354\) | 24.8232 | + | 5.59911i | 1.31934 | + | 0.297590i | ||||
\(355\) | 3.44850 | − | 1.99099i | 0.183027 | − | 0.105671i | ||||
\(356\) | −15.7801 | − | 22.8933i | −0.836345 | − | 1.21334i | ||||
\(357\) | 63.4770 | − | 7.56303i | 3.35956 | − | 0.400278i | ||||
\(358\) | 1.25392 | + | 4.02860i | 0.0662720 | + | 0.212918i | ||||
\(359\) | −22.8266 | + | 13.1789i | −1.20474 | + | 0.695558i | −0.961606 | − | 0.274435i | \(-0.911509\pi\) |
−0.243135 | + | 0.969992i | \(0.578176\pi\) | |||||||
\(360\) | −18.6632 | + | 7.49016i | −0.983637 | + | 0.394766i | ||||
\(361\) | −7.93959 | + | 13.7518i | −0.417873 | + | 0.723777i | ||||
\(362\) | −14.3688 | + | 15.5653i | −0.755207 | + | 0.818096i | ||||
\(363\) | 16.3537i | 0.858348i | ||||||||
\(364\) | −7.71363 | − | 2.60002i | −0.404304 | − | 0.136278i | ||||
\(365\) | 3.15571i | 0.165177i | ||||||||
\(366\) | 32.6166 | + | 30.1092i | 1.70490 | + | 1.57384i | ||||
\(367\) | −17.7819 | + | 30.7992i | −0.928208 | + | 1.60770i | −0.141889 | + | 0.989883i | \(0.545318\pi\) |
−0.786319 | + | 0.617821i | \(0.788016\pi\) | |||||||
\(368\) | −20.2804 | + | 16.5145i | −1.05719 | + | 0.860878i | ||||
\(369\) | −42.5083 | + | 24.5422i | −2.21289 | + | 1.27761i | ||||
\(370\) | −3.85182 | + | 1.19890i | −0.200247 | + | 0.0623280i | ||||
\(371\) | −16.6909 | + | 12.4839i | −0.866550 | + | 0.648133i | ||||
\(372\) | 7.51641 | + | 10.9046i | 0.389708 | + | 0.565375i | ||||
\(373\) | 20.6623 | − | 11.9294i | 1.06985 | − | 0.617680i | 0.141712 | − | 0.989908i | \(-0.454739\pi\) |
0.928141 | + | 0.372228i | \(0.121406\pi\) | |||||||
\(374\) | −5.72244 | + | 25.3699i | −0.295900 | + | 1.31185i | ||||
\(375\) | 2.75363 | + | 1.58981i | 0.142197 | + | 0.0820975i | ||||
\(376\) | −4.52788 | + | 31.6845i | −0.233507 | + | 1.63400i | ||||
\(377\) | − | 3.60716i | − | 0.185778i | ||||||
\(378\) | −44.6406 | + | 19.9534i | −2.29606 | + | 1.02629i | ||||
\(379\) | −25.9215 | −1.33150 | −0.665748 | − | 0.746177i | \(-0.731887\pi\) | ||||
−0.665748 | + | 0.746177i | \(0.731887\pi\) | |||||||
\(380\) | 1.51672 | − | 3.19106i | 0.0778061 | − | 0.163698i | ||||
\(381\) | 14.9504 | − | 25.8948i | 0.765930 | − | 1.32663i | ||||
\(382\) | 8.06690 | − | 35.7638i | 0.412738 | − | 1.82984i | ||||
\(383\) | −16.8541 | − | 29.1922i | −0.861205 | − | 1.49165i | −0.870766 | − | 0.491697i | \(-0.836377\pi\) |
0.00956071 | − | 0.999954i | \(-0.496957\pi\) | |||||||
\(384\) | 18.5403 | + | 30.8276i | 0.946130 | + | 1.57316i | ||||
\(385\) | 2.52293 | − | 5.88488i | 0.128580 | − | 0.299921i | ||||
\(386\) | 2.98442 | + | 9.58832i | 0.151903 | + | 0.488032i | ||||
\(387\) | −4.95364 | − | 8.57995i | −0.251807 | − | 0.436143i | ||||
\(388\) | 0.496708 | − | 0.0397735i | 0.0252165 | − | 0.00201919i | ||||
\(389\) | 29.0131 | + | 16.7507i | 1.47102 | + | 0.849294i | 0.999470 | − | 0.0325451i | \(-0.0103612\pi\) |
0.471550 | + | 0.881839i | \(0.343695\pi\) | |||||||
\(390\) | 5.08275 | + | 4.69202i | 0.257375 | + | 0.237590i | ||||
\(391\) | −49.6853 | −2.51269 | ||||||||
\(392\) | 1.88261 | + | 19.7093i | 0.0950860 | + | 0.995469i | ||||
\(393\) | 59.8271 | 3.01788 | ||||||||
\(394\) | 0.638119 | + | 0.589065i | 0.0321480 | + | 0.0296766i | ||||
\(395\) | 1.75753 | + | 1.01471i | 0.0884311 | + | 0.0510557i | ||||
\(396\) | −2.74683 | − | 34.3035i | −0.138033 | − | 1.72382i | ||||
\(397\) | −2.24042 | − | 3.88052i | −0.112443 | − | 0.194757i | 0.804312 | − | 0.594208i | \(-0.202534\pi\) |
−0.916755 | + | 0.399450i | \(0.869201\pi\) | |||||||
\(398\) | −3.75863 | − | 12.0757i | −0.188403 | − | 0.605299i | ||||
\(399\) | 5.85583 | − | 13.6591i | 0.293158 | − | 0.683809i | ||||
\(400\) | 1.42328 | − | 3.73822i | 0.0711640 | − | 0.186911i | ||||
\(401\) | −15.5291 | − | 26.8973i | −0.775488 | − | 1.34318i | −0.934520 | − | 0.355911i | \(-0.884171\pi\) |
0.159032 | − | 0.987273i | \(-0.449163\pi\) | |||||||
\(402\) | 6.19887 | − | 27.4821i | 0.309172 | − | 1.37068i | ||||
\(403\) | 1.60189 | − | 2.77456i | 0.0797960 | − | 0.138211i | ||||
\(404\) | 17.6211 | + | 8.37534i | 0.876681 | + | 0.416689i | ||||
\(405\) | 20.2222 | 1.00485 | ||||||||
\(406\) | −8.00994 | + | 3.58027i | −0.397527 | + | 0.177686i | ||||
\(407\) | − | 6.90332i | − | 0.342185i | ||||||
\(408\) | −9.66788 | + | 67.6525i | −0.478631 | + | 3.34930i | ||||
\(409\) | −22.6647 | − | 13.0855i | −1.12070 | − | 0.647034i | −0.179117 | − | 0.983828i | \(-0.557324\pi\) |
−0.941579 | + | 0.336794i | \(0.890658\pi\) | |||||||
\(410\) | 2.14820 | − | 9.52384i | 0.106092 | − | 0.470349i | ||||
\(411\) | 41.6059 | − | 24.0212i | 2.05227 | − | 1.18488i | ||||
\(412\) | −9.87849 | + | 6.80915i | −0.486678 | + | 0.335463i | ||||
\(413\) | −11.9897 | + | 8.96767i | −0.589976 | + | 0.441270i | ||||
\(414\) | 62.7741 | − | 19.5388i | 3.08518 | − | 0.960280i | ||||
\(415\) | −0.250215 | + | 0.144462i | −0.0122826 | + | 0.00709134i | ||||
\(416\) | 4.80991 | − | 7.25195i | 0.235825 | − | 0.355556i | ||||
\(417\) | −17.6776 | + | 30.6186i | −0.865678 | + | 1.49940i | ||||
\(418\) | 4.44260 | + | 4.10108i | 0.217295 | + | 0.200590i | ||||
\(419\) | − | 3.71538i | − | 0.181508i | −0.995873 | − | 0.0907540i | \(-0.971072\pi\) | ||
0.995873 | − | 0.0907540i | \(-0.0289277\pi\) | |||||||
\(420\) | 5.37409 | − | 15.9436i | 0.262229 | − | 0.777969i | ||||
\(421\) | 9.89335i | 0.482172i | 0.970504 | + | 0.241086i | \(0.0775037\pi\) | ||||
−0.970504 | + | 0.241086i | \(0.922496\pi\) | |||||||
\(422\) | 10.2407 | − | 11.0935i | 0.498511 | − | 0.540024i | ||||
\(423\) | 40.2283 | − | 69.6775i | 1.95597 | − | 3.38784i | ||||
\(424\) | −8.29917 | − | 20.6790i | −0.403043 | − | 1.00426i | ||||
\(425\) | 6.58087 | − | 3.79947i | 0.319219 | − | 0.184301i | ||||
\(426\) | 5.32144 | + | 17.0966i | 0.257824 | + | 0.828335i | ||||
\(427\) | −25.9344 | + | 3.08997i | −1.25505 | + | 0.149534i | ||||
\(428\) | −0.206269 | + | 0.142179i | −0.00997039 | + | 0.00687250i | ||||
\(429\) | −10.2513 | + | 5.91862i | −0.494940 | + | 0.285753i | ||||
\(430\) | 1.92231 | + | 0.433596i | 0.0927019 | + | 0.0209099i | ||||
\(431\) | 21.9155 | + | 12.6529i | 1.05563 | + | 0.609471i | 0.924222 | − | 0.381857i | \(-0.124715\pi\) |
0.131413 | + | 0.991328i | \(0.458049\pi\) | |||||||
\(432\) | −8.31811 | − | 51.6070i | −0.400205 | − | 2.48294i | ||||
\(433\) | 3.51643i | 0.168989i | 0.996424 | + | 0.0844944i | \(0.0269275\pi\) | ||||
−0.996424 | + | 0.0844944i | \(0.973073\pi\) | |||||||
\(434\) | −7.75105 | − | 0.803235i | −0.372062 | − | 0.0385565i | ||||
\(435\) | 7.45579 | 0.357478 | ||||||||
\(436\) | −0.396342 | + | 0.833872i | −0.0189813 | + | 0.0399352i | ||||
\(437\) | −5.77537 | + | 10.0032i | −0.276273 | + | 0.478520i | ||||
\(438\) | −13.8424 | − | 3.12230i | −0.661416 | − | 0.149189i | ||||
\(439\) | 4.56047 | + | 7.89896i | 0.217659 | + | 0.376997i | 0.954092 | − | 0.299514i | \(-0.0968245\pi\) |
−0.736433 | + | 0.676511i | \(0.763491\pi\) | |||||||
\(440\) | 5.38413 | + | 4.22668i | 0.256678 | + | 0.201499i | ||||
\(441\) | 14.0613 | − | 47.7424i | 0.669584 | − | 2.27345i | ||||
\(442\) | 15.7847 | − | 4.91308i | 0.750801 | − | 0.233691i | ||||
\(443\) | −1.72708 | − | 2.99140i | −0.0820563 | − | 0.142126i | 0.822077 | − | 0.569377i | \(-0.192815\pi\) |
−0.904133 | + | 0.427251i | \(0.859482\pi\) | |||||||
\(444\) | −1.44791 | − | 18.0821i | −0.0687147 | − | 0.858138i | ||||
\(445\) | −12.0399 | − | 6.95124i | −0.570746 | − | 0.329520i | ||||
\(446\) | −1.34546 | + | 1.45750i | −0.0637094 | + | 0.0690148i | ||||
\(447\) | 35.5402 | 1.68099 | ||||||||
\(448\) | −20.8775 | − | 3.48285i | −0.986369 | − | 0.164549i | ||||
\(449\) | 10.3646 | 0.489133 | 0.244567 | − | 0.969632i | \(-0.421354\pi\) | ||||
0.244567 | + | 0.969632i | \(0.421354\pi\) | |||||||
\(450\) | −6.82035 | + | 7.38832i | −0.321514 | + | 0.348289i | ||||
\(451\) | 14.4687 | + | 8.35353i | 0.681306 | + | 0.393352i | ||||
\(452\) | 1.54058 | + | 19.2394i | 0.0724627 | + | 0.904945i | ||||
\(453\) | −24.2011 | − | 41.9175i | −1.13707 | − | 1.96946i | ||||
\(454\) | 5.43272 | − | 1.69097i | 0.254970 | − | 0.0793610i | ||||
\(455\) | −4.04144 | + | 0.481521i | −0.189465 | + | 0.0225740i | ||||
\(456\) | 12.4968 | + | 9.81031i | 0.585217 | + | 0.459410i | ||||
\(457\) | 13.4566 | + | 23.3076i | 0.629475 | + | 1.09028i | 0.987657 | + | 0.156630i | \(0.0500632\pi\) |
−0.358183 | + | 0.933652i | \(0.616603\pi\) | |||||||
\(458\) | −29.9860 | − | 6.76366i | −1.40116 | − | 0.316045i | ||||
\(459\) | 49.6525 | − | 86.0006i | 2.31758 | − | 4.01417i | ||||
\(460\) | −5.61365 | + | 11.8107i | −0.261738 | + | 0.550676i | ||||
\(461\) | 9.19023 | 0.428032 | 0.214016 | − | 0.976830i | \(-0.431346\pi\) | ||||
0.214016 | + | 0.976830i | \(0.431346\pi\) | |||||||
\(462\) | 23.3176 | + | 16.8893i | 1.08483 | + | 0.785762i | ||||
\(463\) | 10.8548i | 0.504464i | 0.967667 | + | 0.252232i | \(0.0811645\pi\) | ||||
−0.967667 | + | 0.252232i | \(0.918835\pi\) | |||||||
\(464\) | −1.49253 | − | 9.25994i | −0.0692891 | − | 0.429882i | ||||
\(465\) | 5.73485 | + | 3.31102i | 0.265947 | + | 0.153545i | ||||
\(466\) | 15.7057 | + | 3.54257i | 0.727551 | + | 0.164107i | ||||
\(467\) | 25.9792 | − | 14.9991i | 1.20218 | − | 0.694077i | 0.241137 | − | 0.970491i | \(-0.422480\pi\) |
0.961039 | + | 0.276414i | \(0.0891463\pi\) | |||||||
\(468\) | −18.0108 | + | 12.4147i | −0.832551 | + | 0.573870i | ||||
\(469\) | 9.92825 | + | 13.2740i | 0.458444 | + | 0.612937i | ||||
\(470\) | 4.75604 | + | 15.2801i | 0.219380 | + | 0.704821i | ||||
\(471\) | −1.97070 | + | 1.13778i | −0.0908051 | + | 0.0524263i | ||||
\(472\) | −5.96160 | − | 14.8545i | −0.274405 | − | 0.683734i | ||||
\(473\) | −1.68609 | + | 2.92039i | −0.0775265 | + | 0.134280i | ||||
\(474\) | −6.18993 | + | 6.70539i | −0.284313 | + | 0.307989i | ||||
\(475\) | − | 1.76659i | − | 0.0810565i | ||||||
\(476\) | −26.5768 | − | 30.1745i | −1.21815 | − | 1.38305i | ||||
\(477\) | 56.0123i | 2.56463i | ||||||||
\(478\) | −26.7604 | − | 24.7033i | −1.22399 | − | 1.12990i | ||||
\(479\) | 4.67977 | − | 8.10560i | 0.213824 | − | 0.370355i | −0.739084 | − | 0.673613i | \(-0.764741\pi\) |
0.952908 | + | 0.303259i | \(0.0980747\pi\) | |||||||
\(480\) | 14.9894 | + | 9.94181i | 0.684167 | + | 0.453779i | ||||
\(481\) | −3.80022 | + | 2.19406i | −0.173275 | + | 0.100041i | ||||
\(482\) | −2.60484 | + | 0.810773i | −0.118647 | + | 0.0369297i | ||||
\(483\) | −21.6735 | + | 50.5547i | −0.986177 | + | 2.30032i | ||||
\(484\) | 8.46949 | − | 5.83794i | 0.384977 | − | 0.265361i | ||||
\(485\) | 0.215769 | − | 0.124575i | 0.00979758 | − | 0.00565664i | ||||
\(486\) | −7.80859 | + | 34.6187i | −0.354205 | + | 1.57033i | ||||
\(487\) | 14.9682 | + | 8.64189i | 0.678273 | + | 0.391601i | 0.799204 | − | 0.601060i | \(-0.205255\pi\) |
−0.120931 | + | 0.992661i | \(0.538588\pi\) | |||||||
\(488\) | 3.94993 | − | 27.6403i | 0.178805 | − | 1.25122i | ||||
\(489\) | 5.65976i | 0.255943i | ||||||||
\(490\) | 5.08056 | + | 8.49635i | 0.229516 | + | 0.383826i | ||||
\(491\) | −28.4313 | −1.28309 | −0.641543 | − | 0.767087i | \(-0.721705\pi\) | ||||
−0.641543 | + | 0.767087i | \(0.721705\pi\) | |||||||
\(492\) | 39.6505 | + | 18.8460i | 1.78758 | + | 0.849643i | ||||
\(493\) | 8.90924 | − | 15.4313i | 0.401252 | − | 0.694989i | ||||
\(494\) | 0.845637 | − | 3.74905i | 0.0380470 | − | 0.168678i | ||||
\(495\) | −8.60334 | − | 14.9014i | −0.386691 | − | 0.669769i | ||||
\(496\) | 2.96419 | − | 7.78539i | 0.133096 | − | 0.349575i | ||||
\(497\) | −9.68301 | − | 4.15124i | −0.434343 | − | 0.186209i | ||||
\(498\) | −0.386110 | − | 1.24049i | −0.0173020 | − | 0.0555877i | ||||
\(499\) | 12.1835 | + | 21.1025i | 0.545409 | + | 0.944676i | 0.998581 | + | 0.0532527i | \(0.0169589\pi\) |
−0.453172 | + | 0.891423i | \(0.649708\pi\) | |||||||
\(500\) | −0.159637 | − | 1.99362i | −0.00713920 | − | 0.0891573i | ||||
\(501\) | −15.6725 | − | 9.04850i | −0.700194 | − | 0.404257i | ||||
\(502\) | 13.5034 | + | 12.4654i | 0.602687 | + | 0.556357i | ||||
\(503\) | 22.0798 | 0.984489 | 0.492245 | − | 0.870457i | \(-0.336177\pi\) | ||||
0.492245 | + | 0.870457i | \(0.336177\pi\) | |||||||
\(504\) | 45.4442 | + | 27.6721i | 2.02425 | + | 1.23261i | ||||
\(505\) | 9.75511 | 0.434097 | ||||||||
\(506\) | −16.4429 | − | 15.1788i | −0.730974 | − | 0.674782i | ||||
\(507\) | −29.2809 | − | 16.9054i | −1.30041 | − | 0.750794i | ||||
\(508\) | −18.7477 | + | 1.50121i | −0.831795 | + | 0.0666052i | ||||
\(509\) | −7.47946 | − | 12.9548i | −0.331521 | − | 0.574212i | 0.651289 | − | 0.758830i | \(-0.274229\pi\) |
−0.982810 | + | 0.184618i | \(0.940895\pi\) | |||||||
\(510\) | 10.1550 | + | 32.6260i | 0.449673 | + | 1.44470i | ||||
\(511\) | 6.68596 | − | 5.00074i | 0.295770 | − | 0.221220i | ||||
\(512\) | 9.34690 | − | 20.6067i | 0.413078 | − | 0.910695i | ||||
\(513\) | −11.5431 | − | 19.9933i | −0.509641 | − | 0.882724i | ||||
\(514\) | −5.17803 | + | 22.9563i | −0.228393 | + | 1.01256i | ||||
\(515\) | −2.99947 | + | 5.19523i | −0.132172 | + | 0.228929i | ||||
\(516\) | −3.80391 | + | 8.00313i | −0.167458 | + | 0.352318i | ||||
\(517\) | −27.3854 | −1.20441 | ||||||||
\(518\) | 8.64395 | + | 6.26095i | 0.379793 | + | 0.275090i | ||||
\(519\) | 60.2183i | 2.64329i | ||||||||
\(520\) | 0.615531 | − | 4.30728i | 0.0269928 | − | 0.188887i | ||||
\(521\) | 13.6812 | + | 7.89884i | 0.599384 | + | 0.346055i | 0.768799 | − | 0.639490i | \(-0.220855\pi\) |
−0.169415 | + | 0.985545i | \(0.554188\pi\) | |||||||
\(522\) | −5.18787 | + | 22.9999i | −0.227067 | + | 1.00668i | ||||
\(523\) | 17.4282 | − | 10.0622i | 0.762083 | − | 0.439989i | −0.0679602 | − | 0.997688i | \(-0.521649\pi\) |
0.830043 | + | 0.557699i | \(0.188316\pi\) | |||||||
\(524\) | −21.3570 | − | 30.9840i | −0.932985 | − | 1.35354i | ||||
\(525\) | −0.995275 | − | 8.35341i | −0.0434374 | − | 0.364573i | ||||
\(526\) | 9.28474 | − | 2.88993i | 0.404834 | − | 0.126007i | ||||
\(527\) | 13.7056 | − | 7.91296i | 0.597027 | − | 0.344694i | ||||
\(528\) | −23.8673 | + | 19.4354i | −1.03869 | + | 0.845817i | ||||
\(529\) | 9.87568 | − | 17.1052i | 0.429377 | − | 0.743703i | ||||
\(530\) | −8.18633 | − | 7.55702i | −0.355591 | − | 0.328256i | ||||
\(531\) | 40.2358i | 1.74608i | ||||||||
\(532\) | −9.16435 | + | 1.84331i | −0.397325 | + | 0.0799176i | ||||
\(533\) | − | 10.6199i | − | 0.459999i | ||||||
\(534\) | 42.4038 | − | 45.9349i | 1.83499 | − | 1.98780i | ||||
\(535\) | −0.0626308 | + | 0.108480i | −0.00270776 | + | 0.00468999i | ||||
\(536\) | −16.4457 | + | 6.60019i | −0.710345 | + | 0.285085i | ||||
\(537\) | −8.21532 | + | 4.74312i | −0.354517 | + | 0.204681i | ||||
\(538\) | 9.30021 | + | 29.8796i | 0.400961 | + | 1.28820i | ||||
\(539\) | −16.4662 | + | 3.98027i | −0.709250 | + | 0.171442i | ||||
\(540\) | −14.8333 | − | 21.5196i | −0.638322 | − | 0.926056i | ||||
\(541\) | −14.0280 | + | 8.09904i | −0.603109 | + | 0.348205i | −0.770264 | − | 0.637726i | \(-0.779875\pi\) |
0.167155 | + | 0.985931i | \(0.446542\pi\) | |||||||
\(542\) | 14.6108 | + | 3.29561i | 0.627587 | + | 0.141559i | ||||
\(543\) | −41.2467 | − | 23.8138i | −1.77007 | − | 1.02195i | ||||
\(544\) | 38.4880 | − | 19.1436i | 1.65016 | − | 0.820775i | ||||
\(545\) | 0.461636i | 0.0197743i | ||||||||
\(546\) | 1.88647 | − | 18.2040i | 0.0807335 | − | 0.779061i | ||||
\(547\) | −29.9614 | −1.28106 | −0.640529 | − | 0.767934i | \(-0.721285\pi\) | ||||
−0.640529 | + | 0.767934i | \(0.721285\pi\) | |||||||
\(548\) | −27.2929 | − | 12.9724i | −1.16589 | − | 0.554152i | ||||
\(549\) | −35.0936 | + | 60.7838i | −1.49776 | + | 2.59419i | ||||
\(550\) | 3.33861 | + | 0.753058i | 0.142359 | + | 0.0321105i | ||||
\(551\) | −2.07120 | − | 3.58743i | −0.0882362 | − | 0.152830i | ||||
\(552\) | −46.2530 | − | 36.3097i | −1.96866 | − | 1.54544i | ||||
\(553\) | −0.635244 | − | 5.33165i | −0.0270133 | − | 0.226725i | ||||
\(554\) | −25.7320 | + | 8.00924i | −1.09325 | + | 0.340280i | ||||
\(555\) | −4.53499 | − | 7.85484i | −0.192500 | − | 0.333419i | ||||
\(556\) | 22.1677 | − | 1.77506i | 0.940120 | − | 0.0752793i | ||||
\(557\) | −36.5898 | − | 21.1251i | −1.55036 | − | 0.895100i | −0.998112 | − | 0.0614182i | \(-0.980438\pi\) |
−0.552246 | − | 0.833681i | \(-0.686229\pi\) | |||||||
\(558\) | −14.2044 | + | 15.3873i | −0.601320 | + | 0.651395i | ||||
\(559\) | 2.14354 | 0.0906621 | ||||||||
\(560\) | −10.1755 | + | 2.90834i | −0.429995 | + | 0.122900i | ||||
\(561\) | −58.4730 | −2.46873 | ||||||||
\(562\) | −16.9099 | + | 18.3180i | −0.713299 | + | 0.772699i | ||||
\(563\) | 19.4740 | + | 11.2433i | 0.820731 | + | 0.473849i | 0.850669 | − | 0.525702i | \(-0.176197\pi\) |
−0.0299372 | + | 0.999552i | \(0.509531\pi\) | |||||||
\(564\) | −71.7315 | + | 5.74384i | −3.02044 | + | 0.241859i | ||||
\(565\) | 4.82525 | + | 8.35757i | 0.203000 | + | 0.351606i | ||||
\(566\) | 0.757237 | − | 0.235695i | 0.0318291 | − | 0.00990698i | ||||
\(567\) | −32.0454 | − | 42.8445i | −1.34578 | − | 1.79930i | ||||
\(568\) | 6.95460 | − | 8.85908i | 0.291808 | − | 0.371719i | ||||
\(569\) | −15.7198 | − | 27.2275i | −0.659008 | − | 1.14144i | −0.980873 | − | 0.194650i | \(-0.937643\pi\) |
0.321864 | − | 0.946786i | \(-0.395690\pi\) | |||||||
\(570\) | 7.74907 | + | 1.74788i | 0.324573 | + | 0.0732107i | ||||
\(571\) | −4.27788 | + | 7.40950i | −0.179024 | + | 0.310078i | −0.941546 | − | 0.336883i | \(-0.890627\pi\) |
0.762523 | + | 0.646961i | \(0.223961\pi\) | |||||||
\(572\) | 6.72473 | + | 3.19628i | 0.281175 | + | 0.133643i | ||||
\(573\) | 82.4291 | 3.44353 | ||||||||
\(574\) | −23.5822 | + | 10.5407i | −0.984302 | + | 0.439962i | ||||
\(575\) | 6.53845i | 0.272672i | ||||||||
\(576\) | −41.0988 | + | 39.3221i | −1.71245 | + | 1.63842i | ||||
\(577\) | 35.0221 | + | 20.2200i | 1.45799 | + | 0.841771i | 0.998912 | − | 0.0466251i | \(-0.0148466\pi\) |
0.459078 | + | 0.888396i | \(0.348180\pi\) | |||||||
\(578\) | 56.2083 | + | 12.6784i | 2.33796 | + | 0.527350i | ||||
\(579\) | −19.5530 | + | 11.2889i | −0.812595 | + | 0.469152i | ||||
\(580\) | −2.66156 | − | 3.86130i | −0.110515 | − | 0.160332i | ||||
\(581\) | 0.702576 | + | 0.301204i | 0.0291478 | + | 0.0124960i | ||||
\(582\) | 0.332957 | + | 1.06972i | 0.0138015 | + | 0.0443413i | ||||
\(583\) | 16.5109 | − | 9.53258i | 0.683812 | − | 0.394799i | ||||
\(584\) | 3.32443 | + | 8.28349i | 0.137566 | + | 0.342773i | ||||
\(585\) | −5.46874 | + | 9.47214i | −0.226105 | + | 0.391625i | ||||
\(586\) | −22.8320 | + | 24.7333i | −0.943180 | + | 1.02172i | ||||
\(587\) | − | 46.5032i | − | 1.91939i | −0.281038 | − | 0.959697i | \(-0.590679\pi\) | ||
0.281038 | − | 0.959697i | \(-0.409321\pi\) | |||||||
\(588\) | −42.2957 | + | 13.8793i | −1.74425 | + | 0.572372i | ||||
\(589\) | − | 3.67918i | − | 0.151598i | ||||||
\(590\) | −5.88055 | − | 5.42849i | −0.242098 | − | 0.223487i | ||||
\(591\) | −0.976274 | + | 1.69096i | −0.0401586 | + | 0.0695567i | ||||
\(592\) | −8.84772 | + | 7.20479i | −0.363639 | + | 0.296115i | ||||
\(593\) | 5.42655 | − | 3.13302i | 0.222842 | − | 0.128658i | −0.384424 | − | 0.923157i | \(-0.625600\pi\) |
0.607265 | + | 0.794499i | \(0.292267\pi\) | |||||||
\(594\) | 42.7052 | − | 13.2922i | 1.75221 | − | 0.545387i | ||||
\(595\) | −18.4784 | − | 7.92193i | −0.757539 | − | 0.324767i | ||||
\(596\) | −12.6871 | − | 18.4060i | −0.519684 | − | 0.753940i | ||||
\(597\) | 24.6253 | − | 14.2175i | 1.00785 | − | 0.581882i | ||||
\(598\) | −3.12985 | + | 13.8759i | −0.127989 | + | 0.567428i | ||||
\(599\) | −35.7470 | − | 20.6385i | −1.46058 | − | 0.843268i | −0.461544 | − | 0.887117i | \(-0.652705\pi\) |
−0.999038 | + | 0.0438493i | \(0.986038\pi\) | |||||||
\(600\) | 8.90289 | + | 1.27227i | 0.363459 | + | 0.0519401i | ||||
\(601\) | 18.4478i | 0.752502i | 0.926518 | + | 0.376251i | \(0.122787\pi\) | ||||
−0.926518 | + | 0.376251i | \(0.877213\pi\) | |||||||
\(602\) | −2.12756 | − | 4.75987i | −0.0867129 | − | 0.193998i | ||||
\(603\) | 44.5457 | 1.81404 | ||||||||
\(604\) | −13.0695 | + | 27.4973i | −0.531791 | + | 1.11885i | ||||
\(605\) | 2.57165 | − | 4.45422i | 0.104552 | − | 0.181090i | ||||
\(606\) | −9.65182 | + | 42.7904i | −0.392078 | + | 1.73824i | ||||
\(607\) | 3.76477 | + | 6.52077i | 0.152807 | + | 0.264670i | 0.932258 | − | 0.361793i | \(-0.117835\pi\) |
−0.779451 | + | 0.626463i | \(0.784502\pi\) | |||||||
\(608\) | 0.619591 | − | 9.97409i | 0.0251277 | − | 0.404503i | ||||
\(609\) | −11.8149 | − | 15.7965i | −0.478765 | − | 0.640106i | ||||
\(610\) | −4.14897 | − | 13.3298i | −0.167987 | − | 0.539707i | ||||
\(611\) | 8.70382 | + | 15.0755i | 0.352119 | + | 0.609888i | ||||
\(612\) | −107.712 | + | 8.62496i | −4.35401 | + | 0.348643i | ||||
\(613\) | 15.3991 | + | 8.89067i | 0.621963 | + | 0.359091i | 0.777633 | − | 0.628719i | \(-0.216420\pi\) |
−0.155670 | + | 0.987809i | \(0.549754\pi\) | |||||||
\(614\) | −9.68648 | − | 8.94185i | −0.390914 | − | 0.360864i | ||||
\(615\) | 21.9507 | 0.885138 | ||||||||
\(616\) | 0.422960 | − | 18.1052i | 0.0170415 | − | 0.729478i | ||||
\(617\) | −25.4606 | −1.02500 | −0.512502 | − | 0.858686i | \(-0.671281\pi\) | ||||
−0.512502 | + | 0.858686i | \(0.671281\pi\) | |||||||
\(618\) | −19.8210 | − | 18.2973i | −0.797317 | − | 0.736025i | ||||
\(619\) | 1.54568 | + | 0.892398i | 0.0621261 | + | 0.0358685i | 0.530741 | − | 0.847534i | \(-0.321914\pi\) |
−0.468615 | + | 0.883402i | \(0.655247\pi\) | |||||||
\(620\) | −0.332468 | − | 4.15201i | −0.0133522 | − | 0.166749i | ||||
\(621\) | 42.7231 | + | 73.9987i | 1.71442 | + | 2.96946i | ||||
\(622\) | 2.29699 | + | 7.37974i | 0.0921009 | + | 0.295901i | ||||
\(623\) | 4.35170 | + | 36.5242i | 0.174347 | + | 1.46331i | ||||
\(624\) | 18.2847 | + | 6.96168i | 0.731974 | + | 0.278690i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −7.18332 | + | 31.8466i | −0.287103 | + | 1.27285i | ||||
\(627\) | −6.79685 | + | 11.7725i | −0.271440 | + | 0.470148i | ||||
\(628\) | 1.29275 | + | 0.614447i | 0.0515863 | + | 0.0245191i | ||||
\(629\) | −21.6762 | −0.864288 | ||||||||
\(630\) | 26.4615 | + | 2.74219i | 1.05425 | + | 0.109251i | ||||
\(631\) | 25.2033i | 1.00333i | 0.865063 | + | 0.501663i | \(0.167278\pi\) | ||||
−0.865063 | + | 0.501663i | \(0.832722\pi\) | |||||||
\(632\) | 5.68235 | + | 0.812037i | 0.226032 | + | 0.0323011i | ||||
\(633\) | 29.3968 | + | 16.9723i | 1.16842 | + | 0.674587i | ||||
\(634\) | −9.41950 | + | 41.7605i | −0.374096 | + | 1.65852i | ||||
\(635\) | −8.14398 | + | 4.70193i | −0.323184 | + | 0.186590i | ||||
\(636\) | 41.2482 | − | 28.4320i | 1.63560 | − | 1.12740i | ||||
\(637\) | 7.42451 | + | 7.79949i | 0.294170 | + | 0.309027i | ||||
\(638\) | 7.66267 | − | 2.38505i | 0.303368 | − | 0.0944251i | ||||
\(639\) | −24.5189 | + | 14.1560i | −0.969952 | + | 0.560002i | ||||
\(640\) | −0.202090 | − | 11.3119i | −0.00798829 | − | 0.447142i | ||||
\(641\) | 1.24626 | − | 2.15858i | 0.0492242 | − | 0.0852587i | −0.840363 | − | 0.542023i | \(-0.817658\pi\) |
0.889588 | + | 0.456765i | \(0.150992\pi\) | |||||||
\(642\) | −0.413875 | − | 0.382059i | −0.0163343 | − | 0.0150787i | ||||
\(643\) | − | 39.1121i | − | 1.54243i | −0.636575 | − | 0.771215i | \(-0.719650\pi\) | ||
0.636575 | − | 0.771215i | \(-0.280350\pi\) | |||||||
\(644\) | 33.9189 | − | 6.82242i | 1.33659 | − | 0.268841i | ||||
\(645\) | 4.43057i | 0.174454i | ||||||||
\(646\) | 12.8773 | − | 13.9496i | 0.506650 | − | 0.548841i | ||||
\(647\) | −7.69474 | + | 13.3277i | −0.302512 | + | 0.523965i | −0.976704 | − | 0.214590i | \(-0.931158\pi\) |
0.674193 | + | 0.738556i | \(0.264492\pi\) | |||||||
\(648\) | 53.0816 | − | 21.3034i | 2.08524 | − | 0.836876i | ||||
\(649\) | 11.8604 | − | 6.84761i | 0.465562 | − | 0.268792i | ||||
\(650\) | −0.646548 | − | 2.07722i | −0.0253597 | − | 0.0814754i | ||||
\(651\) | −2.07281 | − | 17.3972i | −0.0812398 | − | 0.681851i | ||||
\(652\) | 2.93115 | − | 2.02042i | 0.114793 | − | 0.0791256i | ||||
\(653\) | −1.33623 | + | 0.771475i | −0.0522909 | + | 0.0301902i | −0.525918 | − | 0.850536i | \(-0.676278\pi\) |
0.473627 | + | 0.880726i | \(0.342945\pi\) | |||||||
\(654\) | −2.02495 | − | 0.456748i | −0.0791818 | − | 0.0178603i | ||||
\(655\) | −16.2949 | − | 9.40788i | −0.636696 | − | 0.367596i | ||||
\(656\) | −4.39420 | − | 27.2624i | −0.171565 | − | 1.06442i | ||||
\(657\) | − | 22.4371i | − | 0.875355i | ||||||
\(658\) | 24.8371 | − | 34.2905i | 0.968252 | − | 1.33678i | ||||
\(659\) | 23.4292 | 0.912670 | 0.456335 | − | 0.889808i | \(-0.349162\pi\) | ||||
0.456335 | + | 0.889808i | \(0.349162\pi\) | |||||||
\(660\) | −6.60652 | + | 13.8996i | −0.257159 | + | 0.541042i | ||||
\(661\) | 10.1419 | − | 17.5663i | 0.394474 | − | 0.683249i | −0.598560 | − | 0.801078i | \(-0.704260\pi\) |
0.993034 | + | 0.117829i | \(0.0375935\pi\) | |||||||
\(662\) | 0.723385 | + | 0.163167i | 0.0281152 | + | 0.00634166i | ||||
\(663\) | 18.5843 | + | 32.1889i | 0.721754 | + | 1.25011i | ||||
\(664\) | −0.504609 | + | 0.642793i | −0.0195826 | + | 0.0249452i | ||||
\(665\) | −3.74284 | + | 2.79945i | −0.145141 | + | 0.108558i | ||||
\(666\) | 27.3865 | − | 8.52421i | 1.06120 | − | 0.330306i | ||||
\(667\) | 7.66589 | + | 13.2777i | 0.296825 | + | 0.514115i | ||||
\(668\) | 0.908584 | + | 11.3468i | 0.0351542 | + | 0.439020i | ||||
\(669\) | −3.86225 | − | 2.22987i | −0.149323 | − | 0.0862119i | ||||
\(670\) | −6.00997 | + | 6.51045i | −0.232185 | + | 0.251520i | ||||
\(671\) | 23.8899 | 0.922259 | ||||||||
\(672\) | −2.68952 | − | 47.5122i | −0.103750 | − | 1.83282i | ||||
\(673\) | −14.3296 | −0.552364 | −0.276182 | − | 0.961105i | \(-0.589069\pi\) | ||||
−0.276182 | + | 0.961105i | \(0.589069\pi\) | |||||||
\(674\) | −3.27725 | + | 3.55016i | −0.126235 | + | 0.136747i | ||||
\(675\) | −11.3175 | − | 6.53414i | −0.435609 | − | 0.251499i | ||||
\(676\) | 1.69751 | + | 21.1993i | 0.0652890 | + | 0.815357i | ||||
\(677\) | −9.11144 | − | 15.7815i | −0.350181 | − | 0.606531i | 0.636100 | − | 0.771607i | \(-0.280547\pi\) |
−0.986281 | + | 0.165075i | \(0.947213\pi\) | |||||||
\(678\) | −41.4344 | + | 12.8967i | −1.59128 | + | 0.495295i | ||||
\(679\) | −0.605857 | − | 0.259739i | −0.0232506 | − | 0.00996787i | ||||
\(680\) | 13.2717 | − | 16.9060i | 0.508945 | − | 0.648317i | ||||
\(681\) | 6.39628 | + | 11.0787i | 0.245106 | + | 0.424536i | ||||
\(682\) | 6.95315 | + | 1.56835i | 0.266250 | + | 0.0600554i | ||||
\(683\) | 11.4579 | − | 19.8456i | 0.438422 | − | 0.759370i | −0.559146 | − | 0.829069i | \(-0.688871\pi\) |
0.997568 | + | 0.0696995i | \(0.0222041\pi\) | |||||||
\(684\) | −10.7839 | + | 22.6885i | −0.412332 | + | 0.867515i | ||||
\(685\) | −15.1095 | −0.577302 | ||||||||
\(686\) | 9.95013 | − | 24.2280i | 0.379898 | − | 0.925029i | ||||
\(687\) | − | 69.1124i | − | 2.63680i | ||||||
\(688\) | 5.50269 | − | 0.886932i | 0.209788 | − | 0.0338140i | ||||
\(689\) | −10.4952 | − | 6.05942i | −0.399836 | − | 0.230846i | ||||
\(690\) | −28.6807 | − | 6.46922i | −1.09186 | − | 0.246279i | ||||
\(691\) | 14.4278 | − | 8.32990i | 0.548860 | − | 0.316884i | −0.199802 | − | 0.979836i | \(-0.564030\pi\) |
0.748662 | + | 0.662952i | \(0.230697\pi\) | |||||||
\(692\) | 31.1867 | − | 21.4967i | 1.18554 | − | 0.817181i | ||||
\(693\) | −17.9380 | + | 41.8415i | −0.681410 | + | 1.58943i | ||||
\(694\) | −3.90326 | − | 12.5403i | −0.148166 | − | 0.476025i | ||||
\(695\) | 9.62962 | − | 5.55967i | 0.365272 | − | 0.210890i | ||||
\(696\) | 19.5708 | − | 7.85442i | 0.741831 | − | 0.297721i | ||||
\(697\) | 26.2299 | − | 45.4314i | 0.993526 | − | 1.72084i | ||||
\(698\) | 17.9093 | − | 19.4006i | 0.677875 | − | 0.734325i | ||||
\(699\) | 36.1987i | 1.36916i | ||||||||
\(700\) | −3.97088 | + | 3.49744i | −0.150085 | + | 0.132191i | ||||
\(701\) | − | 3.87396i | − | 0.146317i | −0.997320 | − | 0.0731587i | \(-0.976692\pi\) | ||
0.997320 | − | 0.0731587i | \(-0.0233080\pi\) | |||||||
\(702\) | −20.8901 | − | 19.2842i | −0.788447 | − | 0.727837i | ||||
\(703\) | −2.51962 | + | 4.36412i | −0.0950294 | + | 0.164596i | ||||
\(704\) | 18.5856 | + | 5.42269i | 0.700471 | + | 0.204375i | ||||
\(705\) | −31.1601 | + | 17.9903i | −1.17356 | + | 0.677553i | ||||
\(706\) | −18.2516 | + | 5.68093i | −0.686909 | + | 0.213804i | ||||
\(707\) | −15.4586 | − | 20.6680i | −0.581380 | − | 0.777301i | ||||
\(708\) | 29.6302 | − | 20.4238i | 1.11357 | − | 0.767573i | ||||
\(709\) | 24.1848 | − | 13.9631i | 0.908281 | − | 0.524396i | 0.0284031 | − | 0.999597i | \(-0.490958\pi\) |
0.879878 | + | 0.475200i | \(0.157624\pi\) | |||||||
\(710\) | 1.23909 | − | 5.49337i | 0.0465021 | − | 0.206163i | ||||
\(711\) | −12.4961 | − | 7.21462i | −0.468640 | − | 0.270569i | ||||
\(712\) | −38.9267 | − | 5.56281i | −1.45884 | − | 0.208475i | ||||
\(713\) | 13.6173i | 0.509972i | ||||||||
\(714\) | 53.0320 | − | 73.2167i | 1.98467 | − | 2.74006i | ||||
\(715\) | 3.72284 | 0.139226 | ||||||||
\(716\) | 5.38913 | + | 2.56147i | 0.201401 | + | 0.0957265i | ||||
\(717\) | 40.9415 | − | 70.9127i | 1.52899 | − | 2.64828i | ||||
\(718\) | −8.20185 | + | 36.3621i | −0.306090 | + | 1.35702i | ||||
\(719\) | −8.27114 | − | 14.3260i | −0.308461 | − | 0.534271i | 0.669565 | − | 0.742754i | \(-0.266481\pi\) |
−0.978026 | + | 0.208483i | \(0.933147\pi\) | |||||||
\(720\) | −10.1195 | + | 26.5788i | −0.377133 | + | 0.990532i | ||||
\(721\) | 15.7602 | − | 1.87777i | 0.586942 | − | 0.0699317i | ||||
\(722\) | 6.67392 | + | 21.4419i | 0.248378 | + | 0.797985i | ||||
\(723\) | −3.06684 | − | 5.31193i | −0.114057 | − | 0.197553i | ||||
\(724\) | 2.39121 | + | 29.8625i | 0.0888686 | + | 1.10983i | ||||
\(725\) | −2.03071 | − | 1.17243i | −0.0754188 | − | 0.0435430i | ||||
\(726\) | 16.9939 | + | 15.6875i | 0.630701 | + | 0.582217i | ||||
\(727\) | −6.76375 | −0.250854 | −0.125427 | − | 0.992103i | \(-0.540030\pi\) | ||||
−0.125427 | + | 0.992103i | \(0.540030\pi\) | |||||||
\(728\) | −10.1012 | + | 5.52147i | −0.374375 | + | 0.204639i | ||||
\(729\) | −19.1232 | −0.708268 | ||||||||
\(730\) | 3.27923 | + | 3.02715i | 0.121370 | + | 0.112040i | ||||
\(731\) | 9.16996 | + | 5.29428i | 0.339163 | + | 0.195816i | ||||
\(732\) | 62.5756 | − | 5.01069i | 2.31286 | − | 0.185200i | ||||
\(733\) | −17.1394 | − | 29.6863i | −0.633059 | − | 1.09649i | −0.986923 | − | 0.161193i | \(-0.948466\pi\) |
0.353864 | − | 0.935297i | \(-0.384867\pi\) | |||||||
\(734\) | 14.9473 | + | 48.0224i | 0.551713 | + | 1.77254i | ||||
\(735\) | −16.1211 | + | 15.3460i | −0.594635 | + | 0.566047i | ||||
\(736\) | −2.29322 | + | 36.9159i | −0.0845291 | + | 1.36074i | ||||
\(737\) | −7.58110 | − | 13.1309i | −0.279253 | − | 0.483681i | ||||
\(738\) | −15.2737 | + | 67.7146i | −0.562233 | + | 2.49261i | ||||
\(739\) | −19.2212 | + | 33.2921i | −0.707063 | + | 1.22467i | 0.258879 | + | 0.965910i | \(0.416647\pi\) |
−0.965942 | + | 0.258759i | \(0.916687\pi\) | |||||||
\(740\) | −2.44907 | + | 5.15266i | −0.0900296 | + | 0.189415i | ||||
\(741\) | 8.64088 | 0.317431 | ||||||||
\(742\) | −3.03837 | + | 29.3196i | −0.111542 | + | 1.07636i | ||||
\(743\) | − | 30.1845i | − | 1.10736i | −0.832729 | − | 0.553681i | \(-0.813223\pi\) | ||
0.832729 | − | 0.553681i | \(-0.186777\pi\) | |||||||
\(744\) | 18.5416 | + | 2.64968i | 0.679767 | + | 0.0971422i | ||||
\(745\) | −9.67998 | − | 5.58874i | −0.354647 | − | 0.204755i | ||||
\(746\) | 7.42420 | − | 32.9145i | 0.271819 | − | 1.20509i | ||||
\(747\) | 1.77903 | − | 1.02712i | 0.0650913 | − | 0.0375805i | ||||
\(748\) | 20.8736 | + | 30.2828i | 0.763216 | + | 1.10725i | ||||
\(749\) | 0.329083 | − | 0.0392089i | 0.0120244 | − | 0.00143266i | ||||
\(750\) | 4.29350 | − | 1.33638i | 0.156776 | − | 0.0487976i | ||||
\(751\) | 26.8007 | − | 15.4734i | 0.977972 | − | 0.564632i | 0.0763147 | − | 0.997084i | \(-0.475685\pi\) |
0.901657 | + | 0.432451i | \(0.142351\pi\) | |||||||
\(752\) | 28.5814 | + | 35.0988i | 1.04225 | + | 1.27992i | ||||
\(753\) | −20.6592 | + | 35.7828i | −0.752864 | + | 1.30400i | ||||
\(754\) | −3.74835 | − | 3.46021i | −0.136507 | − | 0.126013i | ||||
\(755\) | 15.2226i | 0.554008i | ||||||||
\(756\) | −22.0876 | + | 65.5284i | −0.803317 | + | 2.38325i | ||||
\(757\) | 32.7932i | 1.19189i | 0.803025 | + | 0.595945i | \(0.203223\pi\) | ||||
−0.803025 | + | 0.595945i | \(0.796777\pi\) | |||||||
\(758\) | −24.8654 | + | 26.9361i | −0.903153 | + | 0.978363i | ||||
\(759\) | 25.1563 | − | 43.5721i | 0.913117 | − | 1.58157i | ||||
\(760\) | −1.86104 | − | 4.63715i | −0.0675070 | − | 0.168207i | ||||
\(761\) | −11.1966 | + | 6.46436i | −0.405876 | + | 0.234333i | −0.689016 | − | 0.724746i | \(-0.741957\pi\) |
0.283140 | + | 0.959079i | \(0.408624\pi\) | |||||||
\(762\) | −12.5671 | − | 40.3754i | −0.455258 | − | 1.46265i | ||||
\(763\) | 0.978062 | − | 0.731538i | 0.0354082 | − | 0.0264835i | ||||
\(764\) | −29.4255 | − | 42.6895i | −1.06458 | − | 1.54445i | ||||
\(765\) | −46.7900 | + | 27.0142i | −1.69170 | + | 0.976702i | ||||
\(766\) | −46.5024 | − | 10.4891i | −1.68020 | − | 0.378986i | ||||
\(767\) | −7.53912 | − | 4.35271i | −0.272222 | − | 0.157167i | ||||
\(768\) | 49.8192 | + | 10.3057i | 1.79770 | + | 0.371874i | ||||
\(769\) | − | 1.25520i | − | 0.0452635i | −0.999744 | − | 0.0226318i | \(-0.992795\pi\) | ||
0.999744 | − | 0.0226318i | \(-0.00720453\pi\) | |||||||
\(770\) | −3.69509 | − | 8.26682i | −0.133162 | − | 0.297915i | ||||
\(771\) | −52.9102 | −1.90551 | ||||||||
\(772\) | 12.8265 | + | 6.09645i | 0.461635 | + | 0.219416i | ||||
\(773\) | −11.0046 | + | 19.0605i | −0.395808 | + | 0.685559i | −0.993204 | − | 0.116387i | \(-0.962869\pi\) |
0.597396 | + | 0.801946i | \(0.296202\pi\) | |||||||
\(774\) | −13.6676 | − | 3.08287i | −0.491273 | − | 0.110812i | ||||
\(775\) | −1.04132 | − | 1.80363i | −0.0374055 | − | 0.0647882i | ||||
\(776\) | 0.435142 | − | 0.554304i | 0.0156207 | − | 0.0198984i | ||||
\(777\) | −9.45550 | + | 22.0555i | −0.339214 | + | 0.791238i | ||||
\(778\) | 45.2375 | − | 14.0804i | 1.62184 | − | 0.504808i | ||||
\(779\) | −6.09787 | − | 10.5618i | −0.218479 | − | 0.378416i | ||||
\(780\) | 9.75137 | − | 0.780832i | 0.349155 | − | 0.0279583i | ||||
\(781\) | 8.34560 | + | 4.81833i | 0.298629 | + | 0.172413i | ||||
\(782\) | −47.6611 | + | 51.6301i | −1.70436 | + | 1.84629i | ||||
\(783\) | −30.6433 | −1.09510 | ||||||||
\(784\) | 22.2867 | + | 16.9500i | 0.795953 | + | 0.605359i | ||||
\(785\) | 0.715672 | 0.0255434 | ||||||||
\(786\) | 57.3897 | − | 62.1689i | 2.04702 | − | 2.21749i | ||||
\(787\) | 29.8525 | + | 17.2354i | 1.06413 | + | 0.614375i | 0.926571 | − | 0.376119i | \(-0.122742\pi\) |
0.137557 | + | 0.990494i | \(0.456075\pi\) | |||||||
\(788\) | 1.22424 | − | 0.0980303i | 0.0436119 | − | 0.00349219i | ||||
\(789\) | 10.9315 | + | 18.9339i | 0.389172 | + | 0.674066i | ||||
\(790\) | 2.74037 | − | 0.852955i | 0.0974978 | − | 0.0303468i | ||||
\(791\) | 10.0607 | − | 23.4671i | 0.357717 | − | 0.834395i | ||||
\(792\) | −38.2812 | − | 30.0517i | −1.36026 | − | 1.06784i | ||||
\(793\) | −7.59285 | − | 13.1512i | −0.269630 | − | 0.467013i | ||||
\(794\) | −6.18156 | − | 1.39431i | −0.219375 | − | 0.0494823i | ||||
\(795\) | 12.5245 | − | 21.6930i | 0.444197 | − | 0.769372i | ||||
\(796\) | −16.1539 | − | 7.67797i | −0.572558 | − | 0.272138i | ||||
\(797\) | 21.2444 | 0.752515 | 0.376258 | − | 0.926515i | \(-0.377211\pi\) | ||||
0.376258 | + | 0.926515i | \(0.377211\pi\) | |||||||
\(798\) | −8.57646 | − | 19.1877i | −0.303604 | − | 0.679236i | ||||
\(799\) | 85.9894i | 3.04209i | ||||||||
\(800\) | −2.51925 | − | 5.06492i | −0.0890688 | − | 0.179072i | ||||
\(801\) | 85.6037 | + | 49.4233i | 3.02466 | + | 1.74629i | ||||
\(802\) | −42.8466 | − | 9.66449i | −1.51297 | − | 0.341265i | ||||
\(803\) | −6.61385 | + | 3.81851i | −0.233398 | + | 0.134752i | ||||
\(804\) | −22.6115 | − | 32.8040i | −0.797447 | − | 1.15691i | ||||
\(805\) | 13.8529 | − | 10.3613i | 0.488252 | − | 0.365186i | ||||
\(806\) | −1.34653 | − | 4.32612i | −0.0474296 | − | 0.152381i | ||||
\(807\) | −60.9321 | + | 35.1791i | −2.14491 | + | 1.23836i | ||||
\(808\) | 25.6064 | − | 10.2767i | 0.900829 | − | 0.361532i | ||||
\(809\) | −1.39597 | + | 2.41789i | −0.0490796 | + | 0.0850084i | −0.889522 | − | 0.456893i | \(-0.848962\pi\) |
0.840442 | + | 0.541902i | \(0.182295\pi\) | |||||||
\(810\) | 19.3983 | − | 21.0137i | 0.681588 | − | 0.738348i | ||||
\(811\) | − | 46.1196i | − | 1.61948i | −0.586790 | − | 0.809739i | \(-0.699609\pi\) | ||
0.586790 | − | 0.809739i | \(-0.300391\pi\) | |||||||
\(812\) | −3.96321 | + | 11.7579i | −0.139081 | + | 0.412621i | ||||
\(813\) | 33.6752i | 1.18104i | ||||||||
\(814\) | −7.17354 | − | 6.62208i | −0.251432 | − | 0.232104i | ||||
\(815\) | 0.890005 | − | 1.54153i | 0.0311755 | − | 0.0539975i | ||||
\(816\) | 61.0266 | + | 74.9427i | 2.13636 | + | 2.62352i | ||||
\(817\) | 2.13181 | − | 1.23080i | 0.0745828 | − | 0.0430604i | ||||
\(818\) | −35.3390 | + | 10.9995i | −1.23560 | + | 0.384588i | ||||
\(819\) | 28.7346 | − | 3.42362i | 1.00407 | − | 0.119631i | ||||
\(820\) | −7.83595 | − | 11.3681i | −0.273643 | − | 0.396992i | ||||
\(821\) | 47.1623 | − | 27.2292i | 1.64598 | − | 0.950305i | 0.667327 | − | 0.744765i | \(-0.267438\pi\) |
0.978649 | − | 0.205540i | \(-0.0658951\pi\) | |||||||
\(822\) | 14.9495 | − | 66.2771i | 0.521423 | − | 2.31168i | ||||
\(823\) | 11.9130 | + | 6.87795i | 0.415259 | + | 0.239750i | 0.693047 | − | 0.720892i | \(-0.256268\pi\) |
−0.277788 | + | 0.960643i | \(0.589601\pi\) | |||||||
\(824\) | −2.40036 | + | 16.7969i | −0.0836206 | + | 0.585148i | ||||
\(825\) | 7.69489i | 0.267902i | ||||||||
\(826\) | −2.18257 | + | 21.0614i | −0.0759415 | + | 0.732819i | ||||
\(827\) | 19.8375 | 0.689816 | 0.344908 | − | 0.938636i | \(-0.387910\pi\) | ||||
0.344908 | + | 0.938636i | \(0.387910\pi\) | |||||||
\(828\) | 39.9131 | − | 83.9741i | 1.38708 | − | 2.91830i | ||||
\(829\) | 1.25335 | − | 2.17087i | 0.0435308 | − | 0.0753975i | −0.843439 | − | 0.537225i | \(-0.819473\pi\) |
0.886970 | + | 0.461827i | \(0.152806\pi\) | |||||||
\(830\) | −0.0899050 | + | 0.398585i | −0.00312065 | + | 0.0138351i | ||||
\(831\) | −30.2959 | − | 52.4741i | −1.05095 | − | 1.82031i | ||||
\(832\) | −2.92185 | − | 11.9547i | −0.101297 | − | 0.414455i | ||||
\(833\) | 12.4979 | + | 51.7035i | 0.433028 | + | 1.79142i | ||||
\(834\) | 14.8596 | + | 47.7408i | 0.514546 | + | 1.65313i | ||||
\(835\) | 2.84578 | + | 4.92903i | 0.0984822 | + | 0.170576i | ||||
\(836\) | 8.52322 | − | 0.682489i | 0.294782 | − | 0.0236044i | ||||
\(837\) | −23.5703 | − | 13.6083i | −0.814708 | − | 0.470372i | ||||
\(838\) | −3.86081 | − | 3.56401i | −0.133369 | − | 0.123117i | ||||
\(839\) | 27.1009 | 0.935628 | 0.467814 | − | 0.883827i | \(-0.345042\pi\) | ||||
0.467814 | + | 0.883827i | \(0.345042\pi\) | |||||||
\(840\) | −11.4126 | − | 20.8786i | −0.393771 | − | 0.720378i | ||||
\(841\) | 23.5016 | 0.810400 | ||||||||
\(842\) | 10.2806 | + | 9.49031i | 0.354293 | + | 0.327058i | ||||
\(843\) | −48.5411 | − | 28.0252i | −1.67184 | − | 0.965240i | ||||
\(844\) | −1.70423 | − | 21.2832i | −0.0586620 | − | 0.732597i | ||||
\(845\) | 5.31678 | + | 9.20893i | 0.182903 | + | 0.316797i | ||||
\(846\) | −33.8155 | − | 108.642i | −1.16260 | − | 3.73519i | ||||
\(847\) | −13.5123 | + | 1.60994i | −0.464288 | + | 0.0553180i | ||||
\(848\) | −29.4495 | − | 11.2125i | −1.01130 | − | 0.385040i | ||||
\(849\) | 0.891543 | + | 1.54420i | 0.0305977 | + | 0.0529967i | ||||
\(850\) | 2.36458 | − | 10.4831i | 0.0811045 | − | 0.359569i | ||||
\(851\) | 9.32558 | − | 16.1524i | 0.319677 | − | 0.553697i | ||||
\(852\) | 22.8705 | + | 10.8704i | 0.783531 | + | 0.372414i | ||||
\(853\) | 8.16785 | 0.279662 | 0.139831 | − | 0.990175i | \(-0.455344\pi\) | ||||
0.139831 | + | 0.990175i | \(0.455344\pi\) | |||||||
\(854\) | −21.6669 | + | 29.9136i | −0.741426 | + | 1.02362i | ||||
\(855\) | 12.5604i | 0.429558i | ||||||||
\(856\) | −0.0501211 | + | 0.350730i | −0.00171310 | + | 0.0119877i | ||||
\(857\) | −13.4380 | − | 7.75845i | −0.459035 | − | 0.265024i | 0.252604 | − | 0.967570i | \(-0.418713\pi\) |
−0.711638 | + | 0.702546i | \(0.752046\pi\) | |||||||
\(858\) | −3.68342 | + | 16.3301i | −0.125750 | + | 0.557501i | ||||
\(859\) | 46.6347 | − | 26.9246i | 1.59116 | − | 0.918654i | 0.598046 | − | 0.801462i | \(-0.295944\pi\) |
0.993109 | − | 0.117192i | \(-0.0373894\pi\) | |||||||
\(860\) | 2.29456 | − | 1.58162i | 0.0782440 | − | 0.0539328i | ||||
\(861\) | −34.7845 | − | 46.5067i | −1.18545 | − | 1.58494i | ||||
\(862\) | 34.1710 | − | 10.6359i | 1.16387 | − | 0.362261i | ||||
\(863\) | −33.2448 | + | 19.1939i | −1.13167 | + | 0.653368i | −0.944353 | − | 0.328932i | \(-0.893311\pi\) |
−0.187313 | + | 0.982300i | \(0.559978\pi\) | |||||||
\(864\) | −61.6063 | − | 40.8609i | −2.09589 | − | 1.39012i | ||||
\(865\) | 9.46941 | − | 16.4015i | 0.321969 | − | 0.557667i | ||||
\(866\) | 3.65407 | + | 3.37317i | 0.124170 | + | 0.114625i | ||||
\(867\) | 129.550i | 4.39975i | ||||||||
\(868\) | −8.26995 | + | 7.28394i | −0.280701 | + | 0.247233i | ||||
\(869\) | 4.91134i | 0.166606i | ||||||||
\(870\) | 7.15204 | − | 7.74763i | 0.242477 | − | 0.262669i | ||||
\(871\) | −4.81896 | + | 8.34668i | −0.163284 | + | 0.282816i | ||||
\(872\) | 0.486318 | + | 1.21176i | 0.0164688 | + | 0.0410353i | ||||
\(873\) | −1.53412 | + | 0.885726i | −0.0519222 | + | 0.0299773i | ||||
\(874\) | 4.85471 | + | 15.5971i | 0.164213 | + | 0.527581i | ||||
\(875\) | −1.04250 | + | 2.43170i | −0.0352431 | + | 0.0822066i | ||||
\(876\) | −16.5230 | + | 11.3891i | −0.558260 | + | 0.384804i | ||||
\(877\) | 15.9417 | − | 9.20394i | 0.538313 | − | 0.310795i | −0.206082 | − | 0.978535i | \(-0.566071\pi\) |
0.744395 | + | 0.667740i | \(0.232738\pi\) | |||||||
\(878\) | 12.5828 | + | 2.83819i | 0.424650 | + | 0.0957841i | ||||
\(879\) | −65.5410 | − | 37.8401i | −2.21064 | − | 1.27632i | ||||
\(880\) | 9.55691 | − | 1.54040i | 0.322163 | − | 0.0519268i | ||||
\(881\) | 21.5756i | 0.726902i | 0.931613 | + | 0.363451i | \(0.118402\pi\) | ||||
−0.931613 | + | 0.363451i | \(0.881598\pi\) | |||||||
\(882\) | −36.1228 | − | 60.4091i | −1.21632 | − | 2.03408i | ||||
\(883\) | 23.5384 | 0.792131 | 0.396065 | − | 0.918222i | \(-0.370375\pi\) | ||||
0.396065 | + | 0.918222i | \(0.370375\pi\) | |||||||
\(884\) | 10.0362 | − | 21.1155i | 0.337555 | − | 0.710190i | ||||
\(885\) | 8.99680 | − | 15.5829i | 0.302424 | − | 0.523814i | ||||
\(886\) | −4.76522 | − | 1.07484i | −0.160091 | − | 0.0361101i | ||||
\(887\) | 16.6515 | + | 28.8413i | 0.559104 | + | 0.968397i | 0.997572 | + | 0.0696497i | \(0.0221881\pi\) |
−0.438467 | + | 0.898747i | \(0.644479\pi\) | |||||||
\(888\) | −20.1788 | − | 15.8409i | −0.677157 | − | 0.531585i | ||||
\(889\) | 22.8674 | + | 9.80356i | 0.766948 | + | 0.328801i | ||||
\(890\) | −18.7727 | + | 5.84313i | −0.629263 | + | 0.195862i | ||||
\(891\) | 24.4695 | + | 42.3824i | 0.819759 | + | 1.41986i | ||||
\(892\) | 0.223908 | + | 2.79625i | 0.00749698 | + | 0.0936255i | ||||
\(893\) | 17.3124 | + | 9.99533i | 0.579338 | + | 0.334481i | ||||
\(894\) | 34.0923 | − | 36.9313i | 1.14022 | − | 1.23517i | ||||
\(895\) | 2.98345 | 0.0997256 | ||||||||
\(896\) | −23.6461 | + | 18.3537i | −0.789962 | + | 0.613156i | ||||
\(897\) | −31.9815 | −1.06783 | ||||||||
\(898\) | 9.94231 | − | 10.7703i | 0.331779 | − | 0.359408i | ||||
\(899\) | −4.22926 | − | 2.44176i | −0.141054 | − | 0.0814374i | ||||
\(900\) | 1.13502 | + | 14.1746i | 0.0378341 | + | 0.472488i | ||||
\(901\) | −29.9320 | − | 51.8438i | −0.997181 | − | 1.72717i | ||||
\(902\) | 22.5598 | − | 7.02187i | 0.751159 | − | 0.233803i | ||||
\(903\) | 9.38700 | − | 7.02097i | 0.312380 | − | 0.233643i | ||||
\(904\) | 21.4703 | + | 16.8547i | 0.714092 | + | 0.560580i | ||||
\(905\) | 7.48951 | + | 12.9722i | 0.248960 | + | 0.431211i | ||||
\(906\) | −66.7735 | − | 15.0614i | −2.21840 | − | 0.500383i | ||||
\(907\) | −25.9103 | + | 44.8780i | −0.860338 | + | 1.49015i | 0.0112647 | + | 0.999937i | \(0.496414\pi\) |
−0.871603 | + | 0.490213i | \(0.836919\pi\) | |||||||
\(908\) | 3.45424 | − | 7.26745i | 0.114633 | − | 0.241179i | ||||
\(909\) | −69.3589 | −2.30049 | ||||||||
\(910\) | −3.37642 | + | 4.66153i | −0.111927 | + | 0.154528i | ||||
\(911\) | − | 3.37980i | − | 0.111978i | −0.998431 | − | 0.0559889i | \(-0.982169\pi\) | ||
0.998431 | − | 0.0559889i | \(-0.0178312\pi\) | |||||||
\(912\) | 22.1820 | − | 3.57534i | 0.734520 | − | 0.118391i | ||||
\(913\) | −0.605536 | − | 0.349606i | −0.0200403 | − | 0.0115703i | ||||
\(914\) | 37.1283 | + | 8.37467i | 1.22810 | + | 0.277009i | ||||
\(915\) | 27.1828 | − | 15.6940i | 0.898635 | − | 0.518827i | ||||
\(916\) | −35.7928 | + | 24.6717i | −1.18263 | + | 0.815175i | ||||
\(917\) | 5.88965 | + | 49.4322i | 0.194493 | + | 1.63240i | ||||
\(918\) | −41.7373 | − | 134.093i | −1.37754 | − | 4.42573i | ||||
\(919\) | 16.6978 | − | 9.64048i | 0.550810 | − | 0.318010i | −0.198639 | − | 0.980073i | \(-0.563652\pi\) |
0.749448 | + | 0.662063i | \(0.230319\pi\) | |||||||
\(920\) | 6.88804 | + | 17.1629i | 0.227092 | + | 0.565845i | ||||
\(921\) | 14.8196 | − | 25.6683i | 0.488322 | − | 0.845799i | ||||
\(922\) | 8.81583 | − | 9.54997i | 0.290334 | − | 0.314511i | ||||
\(923\) | − | 6.12558i | − | 0.201626i | ||||||
\(924\) | 39.9181 | − | 8.02908i | 1.31321 | − | 0.264137i | ||||
\(925\) | 2.85253i | 0.0937908i | ||||||||
\(926\) | 11.2797 | + | 10.4125i | 0.370672 | + | 0.342178i | ||||
\(927\) | 21.3262 | − | 36.9381i | 0.700446 | − | 1.21321i | ||||
\(928\) | −11.0541 | − | 7.33175i | −0.362870 | − | 0.240676i | ||||
\(929\) | 29.0690 | − | 16.7830i | 0.953724 | − | 0.550633i | 0.0594882 | − | 0.998229i | \(-0.481053\pi\) |
0.894236 | + | 0.447596i | \(0.147720\pi\) | |||||||
\(930\) | 8.94184 | − | 2.78320i | 0.293215 | − | 0.0912648i | ||||
\(931\) | 11.8623 | + | 3.49373i | 0.388771 | + | 0.114502i | ||||
\(932\) | 18.7471 | − | 12.9222i | 0.614081 | − | 0.423280i | ||||
\(933\) | −15.0492 | + | 8.68863i | −0.492687 | + | 0.284453i | ||||
\(934\) | 9.33463 | − | 41.3842i | 0.305439 | − | 1.35413i | ||||
\(935\) | 15.9261 | + | 9.19496i | 0.520840 | + | 0.300707i | ||||
\(936\) | −4.37643 | + | 30.6248i | −0.143048 | + | 1.00100i | ||||
\(937\) | − | 21.4342i | − | 0.700224i | −0.936708 | − | 0.350112i | \(-0.886144\pi\) | ||
0.936708 | − | 0.350112i | \(-0.113856\pi\) | |||||||
\(938\) | 23.3174 | + | 2.41636i | 0.761340 | + | 0.0788971i | ||||
\(939\) | −73.4006 | −2.39534 | ||||||||
\(940\) | 20.4405 | + | 9.71544i | 0.666697 | + | 0.316883i | ||||
\(941\) | −7.43223 | + | 12.8730i | −0.242284 | + | 0.419648i | −0.961364 | − | 0.275279i | \(-0.911230\pi\) |
0.719081 | + | 0.694927i | \(0.244563\pi\) | |||||||
\(942\) | −0.708095 | + | 3.13927i | −0.0230710 | + | 0.102283i | ||||
\(943\) | 22.5693 | + | 39.0912i | 0.734957 | + | 1.27298i | ||||
\(944\) | −21.1547 | − | 8.05439i | −0.688527 | − | 0.262148i | ||||
\(945\) | 4.09059 | + | 34.3326i | 0.133067 | + | 1.11684i | ||||
\(946\) | 1.41731 | + | 4.55351i | 0.0460806 | + | 0.148047i | ||||
\(947\) | 21.9761 | + | 38.0637i | 0.714127 | + | 1.23690i | 0.963295 | + | 0.268444i | \(0.0865095\pi\) |
−0.249168 | + | 0.968460i | \(0.580157\pi\) | |||||||
\(948\) | 1.03011 | + | 12.8644i | 0.0334564 | + | 0.417818i | ||||
\(949\) | 4.20412 | + | 2.42725i | 0.136472 | + | 0.0787919i | ||||
\(950\) | −1.83574 | − | 1.69462i | −0.0595591 | − | 0.0549806i | ||||
\(951\) | −96.2503 | −3.12113 | ||||||||
\(952\) | −56.8497 | − | 1.32808i | −1.84251 | − | 0.0430434i | ||||
\(953\) | −24.5807 | −0.796246 | −0.398123 | − | 0.917332i | \(-0.630338\pi\) | ||||
−0.398123 | + | 0.917332i | \(0.630338\pi\) | |||||||
\(954\) | 58.2048 | + | 53.7304i | 1.88445 | + | 1.73959i | ||||
\(955\) | −22.4510 | − | 12.9621i | −0.726497 | − | 0.419443i | ||||
\(956\) | −51.3405 | + | 4.11104i | −1.66047 | + | 0.132961i | ||||
\(957\) | 9.02174 | + | 15.6261i | 0.291631 | + | 0.505120i | ||||
\(958\) | −3.93376 | − | 12.6383i | −0.127094 | − | 0.408326i | ||||
\(959\) | 23.9434 | + | 32.0122i | 0.773173 | + | 1.03373i | ||||
\(960\) | 24.7097 | − | 6.03930i | 0.797501 | − | 0.194917i | ||||
\(961\) | 13.3313 | + | 23.0905i | 0.430042 | + | 0.744854i | ||||
\(962\) | −1.36546 | + | 6.05365i | −0.0440243 | + | 0.195178i | ||||
\(963\) | 0.445305 | − | 0.771291i | 0.0143498 | − | 0.0248545i | ||||
\(964\) | −1.65621 | + | 3.48455i | −0.0533430 | + | 0.112230i | ||||
\(965\) | 7.10080 | 0.228583 | ||||||||
\(966\) | 31.7430 | + | 71.0170i | 1.02132 | + | 2.28493i | ||||
\(967\) | 9.58755i | 0.308315i | 0.988046 | + | 0.154157i | \(0.0492663\pi\) | ||||
−0.988046 | + | 0.154157i | \(0.950734\pi\) | |||||||
\(968\) | 2.05799 | − | 14.4011i | 0.0661463 | − | 0.462869i | ||||
\(969\) | 36.9653 | + | 21.3419i | 1.18750 | + | 0.685601i | ||||
\(970\) | 0.0775284 | − | 0.343715i | 0.00248929 | − | 0.0110360i | ||||
\(971\) | −19.5510 | + | 11.2878i | −0.627421 | + | 0.362242i | −0.779753 | − | 0.626088i | \(-0.784655\pi\) |
0.152332 | + | 0.988329i | \(0.451322\pi\) | |||||||
\(972\) | 28.4833 | + | 41.3226i | 0.913602 | + | 1.32542i | ||||
\(973\) | −27.0389 | − | 11.5920i | −0.866828 | − | 0.371621i | ||||
\(974\) | 23.3386 | − | 7.26427i | 0.747816 | − | 0.232762i | ||||
\(975\) | 4.23598 | − | 2.44564i | 0.135660 | − | 0.0783233i | ||||
\(976\) | −24.9332 | − | 30.6188i | −0.798092 | − | 0.980084i | ||||
\(977\) | 9.57609 | − | 16.5863i | 0.306366 | − | 0.530642i | −0.671198 | − | 0.741278i | \(-0.734220\pi\) |
0.977565 | + | 0.210636i | \(0.0675535\pi\) | |||||||
\(978\) | 5.88130 | + | 5.42919i | 0.188063 | + | 0.173606i | ||||
\(979\) | − | 33.6449i | − | 1.07529i | ||||||
\(980\) | 13.7025 | + | 2.87079i | 0.437710 | + | 0.0917040i | ||||
\(981\) | − | 3.28223i | − | 0.104794i | ||||||
\(982\) | −27.2730 | + | 29.5442i | −0.870317 | + | 0.942792i | ||||
\(983\) | −14.3326 | + | 24.8248i | −0.457139 | + | 0.791787i | −0.998808 | − | 0.0488042i | \(-0.984459\pi\) |
0.541670 | + | 0.840591i | \(0.317792\pi\) | |||||||
\(984\) | 57.6189 | − | 23.1244i | 1.83682 | − | 0.737177i | ||||
\(985\) | 0.531810 | − | 0.307041i | 0.0169449 | − | 0.00978314i | ||||
\(986\) | −7.48900 | − | 24.0606i | −0.238498 | − | 0.766245i | ||||
\(987\) | 87.4941 | + | 37.5099i | 2.78497 | + | 1.19395i | ||||
\(988\) | −3.08461 | − | 4.47506i | −0.0981347 | − | 0.142370i | ||||
\(989\) | −7.89023 | + | 4.55543i | −0.250895 | + | 0.144854i | ||||
\(990\) | −23.7375 | − | 5.35425i | −0.754429 | − | 0.170169i | ||||
\(991\) | 17.8817 | + | 10.3240i | 0.568030 | + | 0.327952i | 0.756362 | − | 0.654153i | \(-0.226975\pi\) |
−0.188332 | + | 0.982105i | \(0.560308\pi\) | |||||||
\(992\) | −5.24670 | − | 10.5484i | −0.166583 | − | 0.334913i | ||||
\(993\) | 1.66727i | 0.0529093i | ||||||||
\(994\) | −13.6023 | + | 6.07992i | −0.431438 | + | 0.192843i | ||||
\(995\) | −8.94285 | −0.283507 | ||||||||
\(996\) | −1.65943 | − | 0.788730i | −0.0525810 | − | 0.0249919i | ||||
\(997\) | 9.92952 | − | 17.1984i | 0.314471 | − | 0.544680i | −0.664854 | − | 0.746973i | \(-0.731506\pi\) |
0.979325 | + | 0.202294i | \(0.0648395\pi\) | |||||||
\(998\) | 33.6156 | + | 7.58235i | 1.06408 | + | 0.240015i | ||||
\(999\) | 18.6389 | + | 32.2834i | 0.589707 | + | 1.02140i |
(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 | 280.2.bj.f.171.9 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.e.591.1 | 24 | |||
7.5 | odd | 6 | 280.2.bj.e.131.2 | ✓ | 24 | ||
8.3 | odd | 2 | 280.2.bj.e.171.2 | yes | 24 | ||
8.5 | even | 2 | 1120.2.bz.f.591.1 | 24 | |||
28.19 | even | 6 | 1120.2.bz.f.271.1 | 24 | |||
56.5 | odd | 6 | 1120.2.bz.e.271.1 | 24 | |||
56.19 | even | 6 | inner | 280.2.bj.f.131.9 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.2 | ✓ | 24 | 7.5 | odd | 6 | ||
280.2.bj.e.171.2 | yes | 24 | 8.3 | odd | 2 | ||
280.2.bj.f.131.9 | yes | 24 | 56.19 | even | 6 | inner | |
280.2.bj.f.171.9 | yes | 24 | 1.1 | even | 1 | trivial | |
1120.2.bz.e.271.1 | 24 | 56.5 | odd | 6 | |||
1120.2.bz.e.591.1 | 24 | 4.3 | odd | 2 | |||
1120.2.bz.f.271.1 | 24 | 28.19 | even | 6 | |||
1120.2.bz.f.591.1 | 24 | 8.5 | even | 2 |