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 | 171.2 | ||
Character | \(\chi\) | \(=\) | 280.171 |
Dual form | 280.2.bj.e.131.2 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37955 | + | 0.311173i | −0.975493 | + | 0.220032i | ||||
\(3\) | 2.75363 | + | 1.58981i | 1.58981 | + | 0.917878i | 0.993337 | + | 0.115247i | \(0.0367658\pi\) |
0.596475 | + | 0.802632i | \(0.296568\pi\) | |||||||
\(4\) | 1.80634 | − | 0.858559i | 0.903172 | − | 0.429280i | ||||
\(5\) | 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 | ||||
\(10\) | −0.959261 | − | 1.03914i | −0.303345 | − | 0.328606i | ||||
\(11\) | 1.21003 | − | 2.09584i | 0.364838 | − | 0.631919i | −0.623912 | − | 0.781495i | \(-0.714458\pi\) |
0.988750 | + | 0.149576i | \(0.0477909\pi\) | |||||||
\(12\) | 6.33896 | + | 0.507586i | 1.82990 | + | 0.146528i | ||||
\(13\) | 1.53832 | 0.426654 | 0.213327 | − | 0.976981i | \(-0.431570\pi\) | ||||
0.213327 | + | 0.976981i | \(0.431570\pi\) | |||||||
\(14\) | −0.681512 | + | 3.67907i | −0.182142 | + | 0.983272i | ||||
\(15\) | 3.17962i | 0.820975i | ||||||||
\(16\) | 2.52575 | − | 3.10171i | 0.631438 | − | 0.775427i | ||||
\(17\) | −6.58087 | − | 3.79947i | −1.59610 | − | 0.921506i | −0.992230 | − | 0.124421i | \(-0.960293\pi\) |
−0.603866 | − | 0.797086i | \(-0.706374\pi\) | |||||||
\(18\) | −6.82035 | − | 7.38832i | −1.60757 | − | 1.74144i | ||||
\(19\) | −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 | −0.956178 | − | 0.292787i | \(-0.905417\pi\) |
−0.224528 | + | 0.974468i | \(0.572084\pi\) | |||||||
\(24\) | −8.90289 | + | 1.27227i | −1.81729 | + | 0.259700i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −2.12220 | + | 0.478684i | −0.416198 | + | 0.0938777i | ||||
\(27\) | 13.0683i | 2.51499i | ||||||||
\(28\) | −0.204642 | − | 5.28754i | −0.0386736 | − | 0.999252i | ||||
\(29\) | − | 2.34486i | − | 0.435430i | −0.976012 | − | 0.217715i | \(-0.930140\pi\) | ||
0.976012 | − | 0.217715i | \(-0.0698604\pi\) | |||||||
\(30\) | −0.989412 | − | 4.38647i | −0.180641 | − | 0.800855i | ||||
\(31\) | 1.04132 | − | 1.80363i | 0.187027 | − | 0.323941i | −0.757230 | − | 0.653148i | \(-0.773448\pi\) |
0.944258 | + | 0.329207i | \(0.106781\pi\) | |||||||
\(32\) | −2.51925 | + | 5.06492i | −0.445344 | + | 0.895360i | ||||
\(33\) | 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 | −0.689124 | − | 0.724644i | \(-0.742004\pi\) |
0.282998 | + | 0.959121i | \(0.408671\pi\) | |||||||
\(38\) | 1.83574 | − | 1.69462i | 0.297796 | − | 0.274903i | ||||
\(39\) | 4.23598 | + | 2.44564i | 0.678300 | + | 0.391617i | ||||
\(40\) | −2.62492 | − | 1.05347i | −0.415036 | − | 0.166568i | ||||
\(41\) | 6.90356i | 1.07815i | 0.842256 | + | 0.539077i | \(0.181227\pi\) | ||||
−0.842256 | + | 0.539077i | \(0.818773\pi\) | |||||||
\(42\) | −7.72566 | + | 9.04733i | −1.19210 | + | 1.39603i | ||||
\(43\) | −1.39343 | −0.212496 | −0.106248 | − | 0.994340i | \(-0.533884\pi\) | ||||
−0.106248 | + | 0.994340i | \(0.533884\pi\) | |||||||
\(44\) | 0.386332 | − | 4.82469i | 0.0582418 | − | 0.727349i | ||||
\(45\) | −3.55500 | + | 6.15745i | −0.529949 | + | 0.917898i | ||||
\(46\) | 6.79439 | − | 6.27208i | 1.00178 | − | 0.924768i | ||||
\(47\) | 5.65799 | + | 9.79993i | 0.825303 | + | 1.42947i | 0.901688 | + | 0.432388i | \(0.142329\pi\) |
−0.0763851 | + | 0.997078i | \(0.524338\pi\) | |||||||
\(48\) | 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 | ||||
\(52\) | 2.77874 | − | 1.32074i | 0.385342 | − | 0.183154i | ||||
\(53\) | −6.82251 | − | 3.93898i | −0.937144 | − | 0.541060i | −0.0480800 | − | 0.998843i | \(-0.515310\pi\) |
−0.889064 | + | 0.457783i | \(0.848644\pi\) | |||||||
\(54\) | −4.06649 | − | 18.0284i | −0.553379 | − | 2.45335i | ||||
\(55\) | 2.42006 | 0.326321 | ||||||||
\(56\) | 1.92765 | + | 7.23078i | 0.257594 | + | 0.966253i | ||||
\(57\) | −5.61708 | −0.744000 | ||||||||
\(58\) | 0.729658 | + | 3.23487i | 0.0958087 | + | 0.424759i | ||||
\(59\) | 4.90087 | + | 2.82952i | 0.638038 | + | 0.368372i | 0.783859 | − | 0.620939i | \(-0.213249\pi\) |
−0.145820 | + | 0.989311i | \(0.546582\pi\) | |||||||
\(60\) | 2.72990 | + | 5.74349i | 0.352428 | + | 0.741482i | ||||
\(61\) | −4.93580 | − | 8.54905i | −0.631964 | − | 1.09459i | −0.987150 | − | 0.159798i | \(-0.948916\pi\) |
0.355186 | − | 0.934796i | \(-0.384418\pi\) | |||||||
\(62\) | −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 | ||||
\(66\) | −7.99610 | + | 7.38141i | −0.984251 | + | 0.908589i | ||||
\(67\) | 3.13260 | − | 5.42583i | 0.382708 | − | 0.662870i | −0.608740 | − | 0.793370i | \(-0.708325\pi\) |
0.991448 | + | 0.130499i | \(0.0416581\pi\) | |||||||
\(68\) | −15.1494 | − | 1.21307i | −1.83713 | − | 0.147107i | ||||
\(69\) | −20.7898 | −2.50280 | ||||||||
\(70\) | −3.52692 | + | 1.24933i | −0.421548 | + | 0.149323i | ||||
\(71\) | − | 3.98199i | − | 0.472575i | −0.971683 | − | 0.236287i | \(-0.924069\pi\) | ||
0.971683 | − | 0.236287i | \(-0.0759307\pi\) | |||||||
\(72\) | −18.6632 | − | 7.49016i | −2.19948 | − | 0.882723i | ||||
\(73\) | −2.73292 | − | 1.57785i | −0.319865 | − | 0.184674i | 0.331468 | − | 0.943467i | \(-0.392456\pi\) |
−0.651332 | + | 0.758793i | \(0.725790\pi\) | |||||||
\(74\) | 2.96419 | − | 2.73633i | 0.344580 | − | 0.318091i | ||||
\(75\) | −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 | −0.397862 | − | 0.917445i | \(-0.630248\pi\) |
0.595600 | + | 0.803281i | \(0.296914\pi\) | |||||||
\(80\) | 3.94903 | + | 0.636512i | 0.441515 | + | 0.0711642i | ||||
\(81\) | −10.1111 | + | 17.5129i | −1.12345 | + | 1.94588i | ||||
\(82\) | −2.14820 | − | 9.52384i | −0.237229 | − | 1.05173i | ||||
\(83\) | − | 0.288923i | − | 0.0317134i | −0.999874 | − | 0.0158567i | \(-0.994952\pi\) | ||
0.999874 | − | 0.0158567i | \(-0.00504756\pi\) | |||||||
\(84\) | 7.84269 | − | 14.8853i | 0.855708 | − | 1.62412i | ||||
\(85\) | − | 7.59894i | − | 0.824220i | ||||||
\(86\) | 1.92231 | − | 0.433596i | 0.207288 | − | 0.0467559i | ||||
\(87\) | 3.72789 | − | 6.45690i | 0.399672 | − | 0.692252i | ||||
\(88\) | 0.968343 | + | 6.77613i | 0.103226 | + | 0.722338i | ||||
\(89\) | 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 | ||||
\(94\) | −10.8550 | − | 11.7589i | −1.11961 | − | 1.21284i | ||||
\(95\) | −1.52991 | − | 0.883293i | −0.156965 | − | 0.0906240i | ||||
\(96\) | −14.9894 | + | 9.94181i | −1.52984 | + | 1.01468i | ||||
\(97\) | 0.249149i | 0.0252972i | 0.999920 | + | 0.0126486i | \(0.00402629\pi\) | ||||
−0.999920 | + | 0.0126486i | \(0.995974\pi\) | |||||||
\(98\) | 8.23592 | + | 5.49268i | 0.831954 | + | 0.554845i | ||||
\(99\) | 17.2067 | 1.72934 | ||||||||
\(100\) | −0.159637 | + | 1.99362i | −0.0159637 | + | 0.199362i | ||||
\(101\) | 4.87755 | − | 8.44817i | 0.485335 | − | 0.840624i | −0.514523 | − | 0.857476i | \(-0.672031\pi\) |
0.999858 | + | 0.0168520i | \(0.00536443\pi\) | |||||||
\(102\) | 23.1774 | + | 25.1075i | 2.29491 | + | 2.48602i | ||||
\(103\) | 2.99947 | + | 5.19523i | 0.295546 | + | 0.511902i | 0.975112 | − | 0.221713i | \(-0.0711649\pi\) |
−0.679565 | + | 0.733615i | \(0.737832\pi\) | |||||||
\(104\) | −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 | \(0.835261\pi\) | |||||||
\(108\) | 11.2199 | + | 23.6058i | 1.07963 | + | 2.27147i | ||||
\(109\) | 0.399788 | + | 0.230818i | 0.0382928 | + | 0.0221083i | 0.519024 | − | 0.854760i | \(-0.326295\pi\) |
−0.480731 | + | 0.876868i | \(0.659629\pi\) | |||||||
\(110\) | −3.33861 | + | 0.753058i | −0.318324 | + | 0.0718012i | ||||
\(111\) | −9.06999 | −0.860885 | ||||||||
\(112\) | −4.90932 | − | 9.37542i | −0.463888 | − | 0.885894i | ||||
\(113\) | −9.65049 | −0.907842 | −0.453921 | − | 0.891042i | \(-0.649975\pi\) | ||||
−0.453921 | + | 0.891042i | \(0.649975\pi\) | |||||||
\(114\) | 7.74907 | − | 1.74788i | 0.725767 | − | 0.163704i | ||||
\(115\) | −5.66247 | − | 3.26923i | −0.528028 | − | 0.304857i | ||||
\(116\) | −2.01321 | − | 4.23563i | −0.186921 | − | 0.393268i | ||||
\(117\) | 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 | ||||
\(122\) | 9.46944 | + | 10.2580i | 0.857322 | + | 0.928716i | ||||
\(123\) | −10.9754 | + | 19.0099i | −0.989615 | + | 1.71406i | ||||
\(124\) | 0.332468 | − | 4.15201i | 0.0298565 | − | 0.372861i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −25.0764 | + | 8.88272i | −2.23399 | + | 0.791336i | ||||
\(127\) | 9.40385i | 0.834457i | 0.908802 | + | 0.417229i | \(0.136999\pi\) | ||||
−0.908802 | + | 0.417229i | \(0.863001\pi\) | |||||||
\(128\) | −0.202090 | + | 11.3119i | −0.0178624 | + | 0.999840i | ||||
\(129\) | −3.83699 | − | 2.21529i | −0.337828 | − | 0.195045i | ||||
\(130\) | −1.47565 | − | 1.59854i | −0.129423 | − | 0.140201i | ||||
\(131\) | 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 | ||||
\(136\) | 21.2769 | − | 3.04057i | 1.82448 | − | 0.260727i | ||||
\(137\) | 7.55473 | − | 13.0852i | 0.645444 | − | 1.11794i | −0.338755 | − | 0.940875i | \(-0.610006\pi\) |
0.984199 | − | 0.177067i | \(-0.0566609\pi\) | |||||||
\(138\) | 28.6807 | − | 6.46922i | 2.44146 | − | 0.550697i | ||||
\(139\) | 11.1193i | 0.943129i | 0.881831 | + | 0.471565i | \(0.156311\pi\) | ||||
−0.881831 | + | 0.471565i | \(0.843689\pi\) | |||||||
\(140\) | 4.47683 | − | 2.82100i | 0.378361 | − | 0.238418i | ||||
\(141\) | 35.9806i | 3.03011i | ||||||||
\(142\) | 1.23909 | + | 5.49337i | 0.103982 | + | 0.460993i | ||||
\(143\) | 1.86142 | − | 3.22407i | 0.155660 | − | 0.269611i | ||||
\(144\) | 28.0776 | + | 4.52560i | 2.33980 | + | 0.377134i | ||||
\(145\) | 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 | −0.841023 | − | 0.541000i | \(-0.818046\pi\) |
0.0480082 | + | 0.998847i | \(0.484713\pi\) | |||||||
\(150\) | 3.30408 | − | 3.05009i | 0.269777 | − | 0.249039i | ||||
\(151\) | 13.1832 | + | 7.61131i | 1.07283 | + | 0.619399i | 0.928954 | − | 0.370196i | \(-0.120710\pi\) |
0.143878 | + | 0.989595i | \(0.454043\pi\) | |||||||
\(152\) | 1.86104 | − | 4.63715i | 0.150950 | − | 0.376122i | ||||
\(153\) | − | 54.0285i | − | 4.36794i | ||||||
\(154\) | 6.88607 | + | 5.88013i | 0.554896 | + | 0.473834i | ||||
\(155\) | 2.08265 | 0.167282 | ||||||||
\(156\) | 9.75137 | + | 0.780832i | 0.780734 | + | 0.0625166i | ||||
\(157\) | 0.357836 | − | 0.619791i | 0.0285584 | − | 0.0494647i | −0.851393 | − | 0.524528i | \(-0.824242\pi\) |
0.879951 | + | 0.475064i | \(0.157575\pi\) | |||||||
\(158\) | −2.10886 | + | 1.94675i | −0.167772 | + | 0.154875i | ||||
\(159\) | −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 | \(0.811126\pi\) | |||||||
\(164\) | 5.92712 | + | 12.4702i | 0.462830 | + | 0.973759i | ||||
\(165\) | 6.66397 | + | 3.84745i | 0.518790 | + | 0.299523i | ||||
\(166\) | 0.0899050 | + | 0.398585i | 0.00697798 | + | 0.0309362i | ||||
\(167\) | 5.69155 | 0.440426 | 0.220213 | − | 0.975452i | \(-0.429325\pi\) | ||||
0.220213 | + | 0.975452i | \(0.429325\pi\) | |||||||
\(168\) | −6.18752 | + | 22.9755i | −0.477378 | + | 1.77260i | ||||
\(169\) | −10.6336 | −0.817966 | ||||||||
\(170\) | 2.36458 | + | 10.4831i | 0.181355 | + | 0.804021i | ||||
\(171\) | −10.8777 | − | 6.28022i | −0.831835 | − | 0.480260i | ||||
\(172\) | −2.51701 | + | 1.19634i | −0.191920 | + | 0.0912200i | ||||
\(173\) | −9.46941 | − | 16.4015i | −0.719946 | − | 1.24698i | −0.961021 | − | 0.276476i | \(-0.910833\pi\) |
0.241075 | − | 0.970506i | \(-0.422500\pi\) | |||||||
\(174\) | −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 | ||||
\(178\) | −14.4467 | + | 13.3361i | −1.08282 | + | 0.999583i | ||||
\(179\) | −1.49172 | + | 2.58374i | −0.111497 | + | 0.193118i | −0.916374 | − | 0.400323i | \(-0.868898\pi\) |
0.804877 | + | 0.593441i | \(0.202231\pi\) | |||||||
\(180\) | −1.13502 | + | 14.1746i | −0.0845995 | + | 1.05652i | ||||
\(181\) | 14.9790 | 1.11338 | 0.556691 | − | 0.830720i | \(-0.312071\pi\) | ||||
0.556691 | + | 0.830720i | \(0.312071\pi\) | |||||||
\(182\) | −1.04839 | + | 5.65960i | −0.0777116 | + | 0.419517i | ||||
\(183\) | − | 31.3880i | − | 2.32026i | ||||||
\(184\) | 6.88804 | − | 17.1629i | 0.507793 | − | 1.26527i | ||||
\(185\) | −2.47037 | − | 1.42627i | −0.181625 | − | 0.104861i | ||||
\(186\) | −6.88125 | + | 6.35226i | −0.504557 | + | 0.465770i | ||||
\(187\) | −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 | \(0.720569\pi\) |
−0.985696 | + | 0.168532i | \(0.946097\pi\) | |||||||
\(192\) | 17.5850 | − | 18.3795i | 1.26909 | − | 1.32643i | ||||
\(193\) | −3.55040 | + | 6.14947i | −0.255563 | + | 0.442648i | −0.965048 | − | 0.262072i | \(-0.915594\pi\) |
0.709485 | + | 0.704720i | \(0.248928\pi\) | |||||||
\(194\) | −0.0775284 | − | 0.343715i | −0.00556621 | − | 0.0246773i | ||||
\(195\) | 4.89129i | 0.350272i | ||||||||
\(196\) | −13.0711 | − | 5.01466i | −0.933649 | − | 0.358190i | ||||
\(197\) | − | 0.614082i | − | 0.0437515i | −0.999761 | − | 0.0218758i | \(-0.993036\pi\) | ||
0.999761 | − | 0.0218758i | \(-0.00696383\pi\) | |||||||
\(198\) | −23.7375 | + | 5.35425i | −1.68695 | + | 0.380510i | ||||
\(199\) | −4.47143 | + | 7.74474i | −0.316971 | + | 0.549010i | −0.979854 | − | 0.199713i | \(-0.935999\pi\) |
0.662884 | + | 0.748723i | \(0.269332\pi\) | |||||||
\(200\) | −0.400131 | − | 2.79998i | −0.0282936 | − | 0.197989i | ||||
\(201\) | 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 | ||||
\(206\) | −5.75455 | − | 6.23376i | −0.400938 | − | 0.434326i | ||||
\(207\) | −40.2602 | − | 23.2442i | −2.79828 | − | 1.61559i | ||||
\(208\) | 3.88542 | − | 4.77143i | 0.269406 | − | 0.330839i | ||||
\(209\) | 4.27525i | 0.295725i | ||||||||
\(210\) | −11.6981 | − | 2.16695i | −0.807242 | − | 0.149534i | ||||
\(211\) | 10.6756 | 0.734942 | 0.367471 | − | 0.930035i | \(-0.380224\pi\) | ||||
0.367471 | + | 0.930035i | \(0.380224\pi\) | |||||||
\(212\) | −15.7056 | − | 1.25762i | −1.07867 | − | 0.0863734i | ||||
\(213\) | 6.33061 | − | 10.9649i | 0.433766 | − | 0.751305i | ||||
\(214\) | 0.120159 | + | 0.130165i | 0.00821387 | + | 0.00889788i | ||||
\(215\) | −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 | ||||
\(220\) | 4.37147 | − | 2.07777i | 0.294724 | − | 0.140083i | ||||
\(221\) | −10.1235 | − | 5.84481i | −0.680981 | − | 0.393164i | ||||
\(222\) | 12.5125 | − | 2.82233i | 0.839787 | − | 0.189423i | ||||
\(223\) | 1.40260 | 0.0939252 | 0.0469626 | − | 0.998897i | \(-0.485046\pi\) | ||||
0.0469626 | + | 0.998897i | \(0.485046\pi\) | |||||||
\(224\) | 9.69006 | + | 11.4063i | 0.647444 | + | 0.762113i | ||||
\(225\) | −7.11001 | −0.474000 | ||||||||
\(226\) | 13.3134 | − | 3.00297i | 0.885593 | − | 0.199755i | ||||
\(227\) | 3.48428 | + | 2.01165i | 0.231260 | + | 0.133518i | 0.611153 | − | 0.791512i | \(-0.290706\pi\) |
−0.379893 | + | 0.925030i | \(0.624039\pi\) | |||||||
\(228\) | −10.1464 | + | 4.82260i | −0.671960 | + | 0.319384i | ||||
\(229\) | 10.8680 | + | 18.8239i | 0.718178 | + | 1.24392i | 0.961721 | + | 0.274031i | \(0.0883571\pi\) |
−0.243542 | + | 0.969890i | \(0.578310\pi\) | |||||||
\(230\) | 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 | \(0.711692\pi\) | |||||||
\(234\) | −10.4919 | − | 11.3656i | −0.685877 | − | 0.742994i | ||||
\(235\) | −5.65799 | + | 9.79993i | −0.369087 | + | 0.639277i | ||||
\(236\) | 11.2820 | + | 0.903392i | 0.734393 | + | 0.0588058i | ||||
\(237\) | 6.45281 | 0.419155 | ||||||||
\(238\) | 18.4634 | − | 21.6221i | 1.19681 | − | 1.40155i | ||||
\(239\) | 25.7524i | 1.66578i | 0.553435 | + | 0.832892i | \(0.313317\pi\) | ||||
−0.553435 | + | 0.832892i | \(0.686683\pi\) | |||||||
\(240\) | 9.86226 | + | 8.03094i | 0.636606 | + | 0.518395i | ||||
\(241\) | −1.67062 | − | 0.964530i | −0.107614 | − | 0.0621309i | 0.445227 | − | 0.895418i | \(-0.353123\pi\) |
−0.552841 | + | 0.833287i | \(0.686456\pi\) | |||||||
\(242\) | −4.93376 | − | 5.34462i | −0.317154 | − | 0.343565i | ||||
\(243\) | −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 | ||||
\(248\) | 0.833333 | + | 5.83138i | 0.0529167 | + | 0.370293i | ||||
\(249\) | 0.459334 | − | 0.795589i | 0.0291091 | − | 0.0504184i | ||||
\(250\) | 1.37955 | − | 0.311173i | 0.0872507 | − | 0.0196803i | ||||
\(251\) | 12.9948i | 0.820222i | 0.912036 | + | 0.410111i | \(0.134510\pi\) | ||||
−0.912036 | + | 0.410111i | \(0.865490\pi\) | |||||||
\(252\) | 31.8303 | − | 20.0573i | 2.00512 | − | 1.26349i | ||||
\(253\) | 15.8235i | 0.994813i | ||||||||
\(254\) | −2.92622 | − | 12.9731i | −0.183607 | − | 0.814007i | ||||
\(255\) | 12.0809 | − | 20.9247i | 0.756534 | − | 1.31036i | ||||
\(256\) | −3.24116 | − | 15.6683i | −0.202573 | − | 0.979267i | ||||
\(257\) | −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 | ||||
\(262\) | −19.5523 | + | 18.0492i | −1.20794 | + | 1.11508i | ||||
\(263\) | −5.95477 | − | 3.43799i | −0.367187 | − | 0.211995i | 0.305042 | − | 0.952339i | \(-0.401330\pi\) |
−0.672229 | + | 0.740343i | \(0.734663\pi\) | |||||||
\(264\) | −8.10631 | + | 20.1985i | −0.498909 | + | 1.24313i | ||||
\(265\) | − | 7.87796i | − | 0.483939i | ||||||
\(266\) | −2.20704 | − | 6.23061i | −0.135323 | − | 0.382023i | ||||
\(267\) | 44.2046 | 2.70528 | ||||||||
\(268\) | 1.00016 | − | 12.4904i | 0.0610945 | − | 0.762975i | ||||
\(269\) | 11.0639 | − | 19.1633i | 0.674580 | − | 1.16841i | −0.302012 | − | 0.953304i | \(-0.597658\pi\) |
0.976591 | − | 0.215102i | \(-0.0690085\pi\) | |||||||
\(270\) | 13.5798 | − | 12.5359i | 0.826441 | − | 0.762910i | ||||
\(271\) | −5.29547 | − | 9.17203i | −0.321677 | − | 0.557161i | 0.659157 | − | 0.752005i | \(-0.270913\pi\) |
−0.980834 | + | 0.194844i | \(0.937580\pi\) | |||||||
\(272\) | −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 | ||||
\(276\) | −37.5535 | + | 17.8493i | −2.26046 | + | 1.07440i | ||||
\(277\) | 16.5032 | + | 9.52815i | 0.991583 | + | 0.572491i | 0.905747 | − | 0.423818i | \(-0.139311\pi\) |
0.0858360 | + | 0.996309i | \(0.472644\pi\) | |||||||
\(278\) | −3.46003 | − | 15.3397i | −0.207519 | − | 0.920016i | ||||
\(279\) | 14.8076 | 0.886511 | ||||||||
\(280\) | −5.29821 | + | 5.28479i | −0.316629 | + | 0.315826i | ||||
\(281\) | −17.6280 | −1.05160 | −0.525799 | − | 0.850609i | \(-0.676234\pi\) | ||||
−0.525799 | + | 0.850609i | \(0.676234\pi\) | |||||||
\(282\) | −11.1962 | − | 49.6372i | −0.666722 | − | 2.95585i | ||||
\(283\) | 0.485654 | + | 0.280393i | 0.0288691 | + | 0.0166676i | 0.514365 | − | 0.857571i | \(-0.328028\pi\) |
−0.485496 | + | 0.874239i | \(0.661361\pi\) | |||||||
\(284\) | −3.41877 | − | 7.19284i | −0.202867 | − | 0.426816i | ||||
\(285\) | −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 | ||||
\(290\) | −2.43665 | + | 2.24934i | −0.143085 | + | 0.132086i | ||||
\(291\) | −0.396100 | + | 0.686065i | −0.0232198 | + | 0.0402179i | ||||
\(292\) | −6.29128 | − | 0.503769i | −0.368169 | − | 0.0294808i | ||||
\(293\) | 23.8016 | 1.39051 | 0.695253 | − | 0.718765i | \(-0.255292\pi\) | ||||
0.695253 | + | 0.718765i | \(0.255292\pi\) | |||||||
\(294\) | 13.9464 | + | 28.2184i | 0.813371 | + | 1.64573i | ||||
\(295\) | 5.65903i | 0.329482i | ||||||||
\(296\) | 3.00505 | − | 7.48768i | 0.174665 | − | 0.435212i | ||||
\(297\) | 27.3890 | + | 15.8130i | 1.58927 | + | 0.917565i | ||||
\(298\) | 11.6150 | − | 10.7221i | 0.672839 | − | 0.621115i | ||||
\(299\) | −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 | ||||
\(304\) | −1.12445 | + | 6.97630i | −0.0644918 | + | 0.400119i | ||||
\(305\) | 4.93580 | − | 8.54905i | 0.282623 | − | 0.489517i | ||||
\(306\) | 16.8122 | + | 74.5353i | 0.961089 | + | 4.26090i | ||||
\(307\) | − | 9.32160i | − | 0.532012i | −0.963971 | − | 0.266006i | \(-0.914296\pi\) | ||
0.963971 | − | 0.266006i | \(-0.0857041\pi\) | |||||||
\(308\) | −11.3295 | − | 5.96920i | −0.645555 | − | 0.340127i | ||||
\(309\) | 19.0744i | 1.08510i | ||||||||
\(310\) | −2.87313 | + | 0.648063i | −0.163183 | + | 0.0368075i | ||||
\(311\) | 2.73260 | − | 4.73300i | 0.154951 | − | 0.268384i | −0.778090 | − | 0.628153i | \(-0.783811\pi\) |
0.933041 | + | 0.359769i | \(0.117145\pi\) | |||||||
\(312\) | −13.6955 | + | 1.95716i | −0.775356 | + | 0.110802i | ||||
\(313\) | −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 | 0.472887 | − | 0.881123i | \(-0.343212\pi\) |
0.999518 | + | 0.0310291i | \(0.00987845\pi\) | |||||||
\(318\) | 24.0285 | + | 26.0294i | 1.34745 | + | 1.45966i | ||||
\(319\) | −4.91445 | − | 2.83736i | −0.275157 | − | 0.158862i | ||||
\(320\) | 7.67979 | − | 2.24072i | 0.429313 | − | 0.125260i | ||||
\(321\) | − | 0.398285i | − | 0.0222301i | ||||||
\(322\) | −8.16866 | − | 23.0606i | −0.455222 | − | 1.28512i | ||||
\(323\) | 13.4242 | 0.746941 | ||||||||
\(324\) | −3.22821 | + | 40.3153i | −0.179345 | + | 2.23974i | ||||
\(325\) | −0.769162 | + | 1.33223i | −0.0426654 | + | 0.0738987i | ||||
\(326\) | −1.70749 | − | 1.84968i | −0.0945693 | − | 0.102445i | ||||
\(327\) | 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 | \(0.828746\pi\) | |||||||
\(332\) | −0.248058 | − | 0.521895i | −0.0136139 | − | 0.0286427i | ||||
\(333\) | −17.5643 | − | 10.1408i | −0.962519 | − | 0.555711i | ||||
\(334\) | −7.85181 | + | 1.77106i | −0.429632 | + | 0.0969079i | ||||
\(335\) | 6.26521 | 0.342305 | ||||||||
\(336\) | 1.38667 | − | 33.6214i | 0.0756491 | − | 1.83420i | ||||
\(337\) | −3.41643 | −0.186105 | −0.0930524 | − | 0.995661i | \(-0.529662\pi\) | ||||
−0.0930524 | + | 0.995661i | \(0.529662\pi\) | |||||||
\(338\) | 14.6696 | − | 3.30887i | 0.797920 | − | 0.179979i | ||||
\(339\) | −26.5739 | − | 15.3425i | −1.44330 | − | 0.833288i | ||||
\(340\) | −6.52414 | − | 13.7263i | −0.353821 | − | 0.744412i | ||||
\(341\) | −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 | ||||
\(346\) | 18.1673 | + | 19.6801i | 0.976678 | + | 1.05801i | ||||
\(347\) | 4.64349 | − | 8.04275i | 0.249275 | − | 0.431758i | −0.714050 | − | 0.700095i | \(-0.753141\pi\) |
0.963325 | + | 0.268337i | \(0.0864742\pi\) | |||||||
\(348\) | 1.19022 | − | 14.8640i | 0.0638026 | − | 0.796794i | ||||
\(349\) | −18.6699 | −0.999374 | −0.499687 | − | 0.866206i | \(-0.666552\pi\) | ||||
−0.499687 | + | 0.866206i | \(0.666552\pi\) | |||||||
\(350\) | −2.84541 | − | 2.42974i | −0.152094 | − | 0.129875i | ||||
\(351\) | 20.1032i | 1.07303i | ||||||||
\(352\) | 7.56687 | + | 11.4086i | 0.403316 | + | 0.608083i | ||||
\(353\) | −11.7057 | − | 6.75828i | −0.623030 | − | 0.359707i | 0.155018 | − | 0.987912i | \(-0.450457\pi\) |
−0.778048 | + | 0.628205i | \(0.783790\pi\) | |||||||
\(354\) | −17.2606 | − | 18.6979i | −0.917388 | − | 0.993783i | ||||
\(355\) | 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 | 0.243135 | − | 0.969992i | \(-0.421824\pi\) |
0.961606 | + | 0.274435i | \(0.0884907\pi\) | |||||||
\(360\) | −2.84494 | − | 19.9079i | −0.149941 | − | 1.04924i | ||||
\(361\) | −7.93959 | + | 13.7518i | −0.417873 | + | 0.723777i | ||||
\(362\) | −20.6644 | + | 4.66106i | −1.08610 | + | 0.244980i | ||||
\(363\) | 16.3537i | 0.858348i | ||||||||
\(364\) | −0.314805 | − | 8.13395i | −0.0165003 | − | 0.426335i | ||||
\(365\) | − | 3.15571i | − | 0.165177i | ||||||
\(366\) | 9.76707 | + | 43.3014i | 0.510533 | + | 2.26340i | ||||
\(367\) | 17.7819 | − | 30.7992i | 0.928208 | − | 1.60770i | 0.141889 | − | 0.989883i | \(-0.454682\pi\) |
0.786319 | − | 0.617821i | \(-0.211984\pi\) | |||||||
\(368\) | −4.16180 | + | 25.8206i | −0.216949 | + | 1.34599i | ||||
\(369\) | −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 | −0.928141 | − | 0.372228i | \(-0.878594\pi\) |
−0.141712 | + | 0.989908i | \(0.545261\pi\) | |||||||
\(374\) | 19.1098 | − | 17.6407i | 0.988142 | − | 0.912180i | ||||
\(375\) | −2.75363 | − | 1.58981i | −0.142197 | − | 0.0820975i | ||||
\(376\) | −29.7035 | − | 11.9210i | −1.53184 | − | 0.614779i | ||||
\(377\) | − | 3.60716i | − | 0.185778i | ||||||
\(378\) | −48.0791 | − | 8.90619i | −2.47292 | − | 0.458085i | ||||
\(379\) | −25.9215 | −1.33150 | −0.665748 | − | 0.746177i | \(-0.731887\pi\) | ||||
−0.665748 | + | 0.746177i | \(0.731887\pi\) | |||||||
\(380\) | −3.52190 | − | 0.282013i | −0.180670 | − | 0.0144670i | ||||
\(381\) | −14.9504 | + | 25.8948i | −0.765930 | + | 1.32663i | ||||
\(382\) | 26.9389 | − | 24.8681i | 1.37832 | − | 1.27236i | ||||
\(383\) | 16.8541 | + | 29.1922i | 0.861205 | + | 1.49165i | 0.870766 | + | 0.491697i | \(0.163623\pi\) |
−0.00956071 | + | 0.999954i | \(0.503043\pi\) | |||||||
\(384\) | −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 | ||||
\(388\) | 0.213909 | + | 0.450049i | 0.0108596 | + | 0.0228478i | ||||
\(389\) | −29.0131 | − | 16.7507i | −1.47102 | − | 0.849294i | −0.471550 | − | 0.881839i | \(-0.656305\pi\) |
−0.999470 | + | 0.0325451i | \(0.989639\pi\) | |||||||
\(390\) | −1.52204 | − | 6.74780i | −0.0770713 | − | 0.341688i | ||||
\(391\) | 49.6853 | 2.51269 | ||||||||
\(392\) | 19.5927 | + | 2.85064i | 0.989581 | + | 0.143979i | ||||
\(393\) | 59.8271 | 3.01788 | ||||||||
\(394\) | 0.191085 | + | 0.847159i | 0.00962675 | + | 0.0426793i | ||||
\(395\) | 1.75753 | + | 1.01471i | 0.0884311 | + | 0.0510557i | ||||
\(396\) | 31.0812 | − | 14.7730i | 1.56189 | − | 0.742369i | ||||
\(397\) | 2.24042 | + | 3.88052i | 0.112443 | + | 0.194757i | 0.916755 | − | 0.399450i | \(-0.130799\pi\) |
−0.804312 | + | 0.594208i | \(0.797466\pi\) | |||||||
\(398\) | 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 | \(-0.449163\pi\) | |||||||
\(402\) | −20.7008 | + | 19.1094i | −1.03246 | + | 0.953092i | ||||
\(403\) | 1.60189 | − | 2.77456i | 0.0797960 | − | 0.138211i | ||||
\(404\) | 1.55728 | − | 19.4480i | 0.0774775 | − | 0.967572i | ||||
\(405\) | −20.2222 | −1.00485 | ||||||||
\(406\) | 8.62691 | + | 1.59805i | 0.428147 | + | 0.0793101i | ||||
\(407\) | 6.90332i | 0.342185i | ||||||||
\(408\) | 63.4227 | + | 25.4536i | 3.13989 | + | 1.26014i | ||||
\(409\) | −22.6647 | − | 13.0855i | −1.12070 | − | 0.647034i | −0.179117 | − | 0.983828i | \(-0.557324\pi\) |
−0.941579 | + | 0.336794i | \(0.890658\pi\) | |||||||
\(410\) | 7.17379 | − | 6.62231i | 0.354288 | − | 0.327053i | ||||
\(411\) | 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 | ||||
\(416\) | −3.87541 | + | 7.79148i | −0.190008 | + | 0.382009i | ||||
\(417\) | −17.6776 | + | 30.6186i | −0.865678 | + | 1.49940i | ||||
\(418\) | −1.33034 | − | 5.89794i | −0.0650691 | − | 0.288478i | ||||
\(419\) | − | 3.71538i | − | 0.181508i | −0.995873 | − | 0.0907540i | \(-0.971072\pi\) | ||
0.995873 | − | 0.0907540i | \(-0.0289277\pi\) | |||||||
\(420\) | 16.8124 | − | 0.650683i | 0.820361 | − | 0.0317501i | ||||
\(421\) | − | 9.89335i | − | 0.482172i | −0.970504 | − | 0.241086i | \(-0.922496\pi\) | ||
0.970504 | − | 0.241086i | \(-0.0775037\pi\) | |||||||
\(422\) | −14.7276 | + | 3.32197i | −0.716930 | + | 0.161711i | ||||
\(423\) | −40.2283 | + | 69.6775i | −1.95597 | + | 3.38784i | ||||
\(424\) | 22.0581 | − | 3.15222i | 1.07124 | − | 0.153085i | ||||
\(425\) | 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 | ||||
\(430\) | 1.33666 | + | 1.44797i | 0.0644594 | + | 0.0698273i | ||||
\(431\) | −21.9155 | − | 12.6529i | −1.05563 | − | 0.609471i | −0.131413 | − | 0.991328i | \(-0.541951\pi\) |
−0.924222 | + | 0.381857i | \(0.875285\pi\) | |||||||
\(432\) | 40.5340 | + | 33.0072i | 1.95019 | + | 1.58806i | ||||
\(433\) | 3.51643i | 0.168989i | 0.996424 | + | 0.0844944i | \(0.0269275\pi\) | ||||
−0.996424 | + | 0.0844944i | \(0.973073\pi\) | |||||||
\(434\) | 5.92599 | + | 5.06030i | 0.284457 | + | 0.242902i | ||||
\(435\) | 7.45579 | 0.357478 | ||||||||
\(436\) | 0.920326 | + | 0.0736943i | 0.0440756 | + | 0.00352931i | ||||
\(437\) | 5.77537 | − | 10.0032i | 0.276273 | − | 0.478520i | ||||
\(438\) | 9.62519 | + | 10.4267i | 0.459909 | + | 0.498208i | ||||
\(439\) | −4.56047 | − | 7.89896i | −0.217659 | − | 0.376997i | 0.736433 | − | 0.676511i | \(-0.236509\pi\) |
−0.954092 | + | 0.299514i | \(0.903175\pi\) | |||||||
\(440\) | −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 | \(0.859482\pi\) | |||||||
\(444\) | −16.3835 | + | 7.78712i | −0.777527 | + | 0.369561i | ||||
\(445\) | 12.0399 | + | 6.95124i | 0.570746 | + | 0.329520i | ||||
\(446\) | −1.93497 | + | 0.436451i | −0.0916233 | + | 0.0206666i | ||||
\(447\) | −35.5402 | −1.68099 | ||||||||
\(448\) | −16.9173 | − | 12.7203i | −0.799266 | − | 0.600977i | ||||
\(449\) | 10.3646 | 0.489133 | 0.244567 | − | 0.969632i | \(-0.421354\pi\) | ||||
0.244567 | + | 0.969632i | \(0.421354\pi\) | |||||||
\(450\) | 9.80864 | − | 2.21244i | 0.462384 | − | 0.104295i | ||||
\(451\) | 14.4687 | + | 8.35353i | 0.681306 | + | 0.393352i | ||||
\(452\) | −17.4321 | + | 8.28552i | −0.819937 | + | 0.389718i | ||||
\(453\) | 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 | \(0.616603\pi\) | |||||||
\(458\) | −20.8505 | − | 22.5868i | −0.974281 | − | 1.05541i | ||||
\(459\) | 49.6525 | − | 86.0006i | 2.31758 | − | 4.01417i | ||||
\(460\) | −13.0352 | − | 1.04378i | −0.607768 | − | 0.0486665i | ||||
\(461\) | −9.19023 | −0.428032 | −0.214016 | − | 0.976830i | \(-0.568654\pi\) | ||||
−0.214016 | + | 0.976830i | \(0.568654\pi\) | |||||||
\(462\) | 9.61344 | + | 27.1393i | 0.447258 | + | 1.26263i | ||||
\(463\) | − | 10.8548i | − | 0.504464i | −0.967667 | − | 0.252232i | \(-0.918835\pi\) | ||
0.967667 | − | 0.252232i | \(-0.0811645\pi\) | |||||||
\(464\) | −7.27308 | − | 5.92254i | −0.337644 | − | 0.274947i | ||||
\(465\) | 5.73485 | + | 3.31102i | 0.265947 | + | 0.153545i | ||||
\(466\) | −10.9208 | − | 11.8302i | −0.505896 | − | 0.548024i | ||||
\(467\) | 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 | ||||
\(472\) | −15.8452 | + | 2.26436i | −0.729334 | + | 0.104225i | ||||
\(473\) | −1.68609 | + | 2.92039i | −0.0775265 | + | 0.134280i | ||||
\(474\) | −8.90201 | + | 2.00794i | −0.408883 | + | 0.0922277i | ||||
\(475\) | − | 1.76659i | − | 0.0810565i | ||||||
\(476\) | −18.7431 | + | 35.5742i | −0.859090 | + | 1.63054i | ||||
\(477\) | − | 56.0123i | − | 2.56463i | ||||||
\(478\) | −8.01344 | − | 35.5269i | −0.366526 | − | 1.62496i | ||||
\(479\) | −4.67977 | + | 8.10560i | −0.213824 | + | 0.370355i | −0.952908 | − | 0.303259i | \(-0.901925\pi\) |
0.739084 | + | 0.673613i | \(0.235259\pi\) | |||||||
\(480\) | −16.1045 | − | 8.01026i | −0.735068 | − | 0.365616i | ||||
\(481\) | −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 | ||||
\(486\) | 26.0764 | − | 24.0718i | 1.18285 | − | 1.09192i | ||||
\(487\) | −14.9682 | − | 8.64189i | −0.678273 | − | 0.391601i | 0.120931 | − | 0.992661i | \(-0.461412\pi\) |
−0.799204 | + | 0.601060i | \(0.794745\pi\) | |||||||
\(488\) | 25.9122 | + | 10.3994i | 1.17299 | + | 0.470759i | ||||
\(489\) | 5.65976i | 0.255943i | ||||||||
\(490\) | −0.638839 | + | 9.87886i | −0.0288598 | + | 0.446281i | ||||
\(491\) | −28.4313 | −1.28309 | −0.641543 | − | 0.767087i | \(-0.721705\pi\) | ||||
−0.641543 | + | 0.767087i | \(0.721705\pi\) | |||||||
\(492\) | −3.50415 | + | 43.7614i | −0.157979 | + | 1.97291i | ||||
\(493\) | −8.90924 | + | 15.4313i | −0.401252 | + | 0.694989i | ||||
\(494\) | 2.82395 | − | 2.60687i | 0.127056 | − | 0.117289i | ||||
\(495\) | 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 | \(0.649708\pi\) | |||||||
\(500\) | −1.80634 | + | 0.858559i | −0.0807821 | + | 0.0383959i | ||||
\(501\) | 15.6725 | + | 9.04850i | 0.700194 | + | 0.404257i | ||||
\(502\) | −4.04361 | − | 17.9270i | −0.180475 | − | 0.800121i | ||||
\(503\) | −22.0798 | −0.984489 | −0.492245 | − | 0.870457i | \(-0.663823\pi\) | ||||
−0.492245 | + | 0.870457i | \(0.663823\pi\) | |||||||
\(504\) | −37.6703 | + | 37.5749i | −1.67797 | + | 1.67372i | ||||
\(505\) | 9.75511 | 0.434097 | ||||||||
\(506\) | −4.92383 | − | 21.8293i | −0.218891 | − | 0.970433i | ||||
\(507\) | −29.2809 | − | 16.9054i | −1.30041 | − | 0.750794i | ||||
\(508\) | 8.07377 | + | 16.9866i | 0.358215 | + | 0.753658i | ||||
\(509\) | 7.47946 | + | 12.9548i | 0.331521 | + | 0.574212i | 0.982810 | − | 0.184618i | \(-0.0591048\pi\) |
−0.651289 | + | 0.758830i | \(0.725771\pi\) | |||||||
\(510\) | −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 | ||||
\(514\) | 17.2917 | − | 15.9625i | 0.762706 | − | 0.704074i | ||||
\(515\) | −2.99947 | + | 5.19523i | −0.132172 | + | 0.228929i | ||||
\(516\) | −8.83287 | − | 0.707284i | −0.388845 | − | 0.0311365i | ||||
\(517\) | 27.3854 | 1.20441 | ||||||||
\(518\) | −3.56375 | − | 10.0607i | −0.156582 | − | 0.442040i | ||||
\(519\) | − | 60.2183i | − | 2.64329i | ||||||
\(520\) | −4.03798 | − | 1.62057i | −0.177077 | − | 0.0710668i | ||||
\(521\) | 13.6812 | + | 7.89884i | 0.599384 | + | 0.346055i | 0.768799 | − | 0.639490i | \(-0.220855\pi\) |
−0.169415 | + | 0.985545i | \(0.554188\pi\) | |||||||
\(522\) | −17.3246 | + | 15.9928i | −0.758277 | + | 0.699986i | ||||
\(523\) | 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 | ||||
\(528\) | 4.89789 | − | 30.3874i | 0.213153 | − | 1.32244i | ||||
\(529\) | 9.87568 | − | 17.1052i | 0.429377 | − | 0.743703i | ||||
\(530\) | 2.45140 | + | 10.8681i | 0.106482 | + | 0.472079i | ||||
\(531\) | 40.2358i | 1.74608i | ||||||||
\(532\) | 4.98353 | + | 7.90870i | 0.216064 | + | 0.342886i | ||||
\(533\) | 10.6199i | 0.459999i | ||||||||
\(534\) | −60.9827 | + | 13.7553i | −2.63898 | + | 0.595249i | ||||
\(535\) | 0.0626308 | − | 0.108480i | 0.00270776 | − | 0.00468999i | ||||
\(536\) | 2.50690 | + | 17.5425i | 0.108282 | + | 0.757719i | ||||
\(537\) | −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 | −0.167155 | − | 0.985931i | \(-0.553458\pi\) |
0.770264 | + | 0.637726i | \(0.220125\pi\) | |||||||
\(542\) | 10.1595 | + | 11.0055i | 0.436387 | + | 0.472727i | ||||
\(543\) | 41.2467 | + | 23.8138i | 1.77007 | + | 1.02195i | ||||
\(544\) | 35.8228 | − | 23.7598i | 1.53589 | − | 1.01869i | ||||
\(545\) | 0.461636i | 0.0197743i | ||||||||
\(546\) | −11.8846 | + | 13.9177i | −0.508612 | + | 0.595624i | ||||
\(547\) | −29.9614 | −1.28106 | −0.640529 | − | 0.767934i | \(-0.721285\pi\) | ||||
−0.640529 | + | 0.767934i | \(0.721285\pi\) | |||||||
\(548\) | 2.41203 | − | 30.1225i | 0.103037 | − | 1.28677i | ||||
\(549\) | 35.0936 | − | 60.7838i | 1.49776 | − | 2.59419i | ||||
\(550\) | −2.32147 | − | 2.51479i | −0.0989879 | − | 0.107231i | ||||
\(551\) | 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 | ||||
\(556\) | 9.54661 | + | 20.0853i | 0.404866 | + | 0.851808i | ||||
\(557\) | 36.5898 | + | 21.1251i | 1.55036 | + | 0.895100i | 0.998112 | + | 0.0614182i | \(0.0195623\pi\) |
0.552246 | + | 0.833681i | \(0.313771\pi\) | |||||||
\(558\) | −20.4280 | + | 4.60773i | −0.864784 | + | 0.195061i | ||||
\(559\) | −2.14354 | −0.0906621 | ||||||||
\(560\) | 5.66469 | − | 8.93931i | 0.239377 | − | 0.377755i | ||||
\(561\) | −58.4730 | −2.46873 | ||||||||
\(562\) | 24.3188 | − | 5.48535i | 1.02583 | − | 0.231386i | ||||
\(563\) | 19.4740 | + | 11.2433i | 0.820731 | + | 0.473849i | 0.850669 | − | 0.525702i | \(-0.176197\pi\) |
−0.0299372 | + | 0.999552i | \(0.509531\pi\) | |||||||
\(564\) | 30.8914 | + | 64.9932i | 1.30076 | + | 2.73671i | ||||
\(565\) | −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 | \(-0.395690\pi\) | |||||||
\(570\) | 5.38824 | + | 5.83695i | 0.225689 | + | 0.244483i | ||||
\(571\) | −4.27788 | + | 7.40950i | −0.179024 | + | 0.310078i | −0.941546 | − | 0.336883i | \(-0.890627\pi\) |
0.762523 | + | 0.646961i | \(0.223961\pi\) | |||||||
\(572\) | 0.594304 | − | 7.42192i | 0.0248491 | − | 0.310326i | ||||
\(573\) | −82.4291 | −3.44353 | ||||||||
\(574\) | −25.3987 | − | 4.70486i | −1.06012 | − | 0.196377i | ||||
\(575\) | − | 6.53845i | − | 0.272672i | ||||||
\(576\) | 54.6034 | − | 15.9315i | 2.27514 | − | 0.663814i | ||||
\(577\) | 35.0221 | + | 20.2200i | 1.45799 | + | 0.841771i | 0.998912 | − | 0.0466251i | \(-0.0148466\pi\) |
0.459078 | + | 0.888396i | \(0.348180\pi\) | |||||||
\(578\) | −39.0840 | − | 42.3387i | −1.62568 | − | 1.76106i | ||||
\(579\) | −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 | ||||
\(584\) | 8.83593 | − | 1.26270i | 0.365633 | − | 0.0522508i | ||||
\(585\) | −5.46874 | + | 9.47214i | −0.226105 | + | 0.391625i | ||||
\(586\) | −32.8357 | + | 7.40642i | −1.35643 | + | 0.305956i | ||||
\(587\) | − | 46.5032i | − | 1.91939i | −0.281038 | − | 0.959697i | \(-0.590679\pi\) | ||
0.281038 | − | 0.959697i | \(-0.409321\pi\) | |||||||
\(588\) | −28.0206 | − | 34.5891i | −1.15555 | − | 1.42643i | ||||
\(589\) | 3.67918i | 0.151598i | ||||||||
\(590\) | −1.76094 | − | 7.80695i | −0.0724966 | − | 0.321407i | ||||
\(591\) | 0.976274 | − | 1.69096i | 0.0401586 | − | 0.0695567i | ||||
\(592\) | −1.81567 | + | 11.2648i | −0.0746237 | + | 0.462978i | ||||
\(593\) | 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 | ||||
\(598\) | 10.4520 | − | 9.64849i | 0.427413 | − | 0.394556i | ||||
\(599\) | 35.7470 | + | 20.6385i | 1.46058 | + | 0.843268i | 0.999038 | − | 0.0438493i | \(-0.0139621\pi\) |
0.461544 | + | 0.887117i | \(0.347295\pi\) | |||||||
\(600\) | 3.34963 | − | 8.34626i | 0.136748 | − | 0.340735i | ||||
\(601\) | 18.4478i | 0.752502i | 0.926518 | + | 0.376251i | \(0.122787\pi\) | ||||
−0.926518 | + | 0.376251i | \(0.877213\pi\) | |||||||
\(602\) | 0.949637 | − | 5.12651i | 0.0387043 | − | 0.208941i | ||||
\(603\) | 44.5457 | 1.81404 | ||||||||
\(604\) | 30.3481 | + | 2.43010i | 1.23485 | + | 0.0988792i | ||||
\(605\) | −2.57165 | + | 4.45422i | −0.104552 | + | 0.181090i | ||||
\(606\) | −32.2317 | + | 29.7539i | −1.30932 | + | 1.20867i | ||||
\(607\) | −3.76477 | − | 6.52077i | −0.152807 | − | 0.264670i | 0.779451 | − | 0.626463i | \(-0.215498\pi\) |
−0.932258 | + | 0.361793i | \(0.882165\pi\) | |||||||
\(608\) | −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 | ||||
\(612\) | −46.3867 | − | 97.5940i | −1.87507 | − | 3.94500i | ||||
\(613\) | −15.3991 | − | 8.89067i | −0.621963 | − | 0.359091i | 0.155670 | − | 0.987809i | \(-0.450246\pi\) |
−0.777633 | + | 0.628719i | \(0.783580\pi\) | |||||||
\(614\) | 2.90063 | + | 12.8597i | 0.117060 | + | 0.518974i | ||||
\(615\) | −21.9507 | −0.885138 | ||||||||
\(616\) | 17.4871 | + | 4.70943i | 0.704573 | + | 0.189748i | ||||
\(617\) | −25.4606 | −1.02500 | −0.512502 | − | 0.858686i | \(-0.671281\pi\) | ||||
−0.512502 | + | 0.858686i | \(0.671281\pi\) | |||||||
\(618\) | −5.93542 | − | 26.3141i | −0.238758 | − | 1.05851i | ||||
\(619\) | 1.54568 | + | 0.892398i | 0.0621261 | + | 0.0358685i | 0.530741 | − | 0.847534i | \(-0.321914\pi\) |
−0.468615 | + | 0.883402i | \(0.655247\pi\) | |||||||
\(620\) | 3.76198 | − | 1.78808i | 0.151085 | − | 0.0718109i | ||||
\(621\) | −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 | ||||
\(626\) | 23.9883 | − | 22.1442i | 0.958765 | − | 0.885061i | ||||
\(627\) | −6.79685 | + | 11.7725i | −0.271440 | + | 0.470148i | ||||
\(628\) | 0.114248 | − | 1.42678i | 0.00455899 | − | 0.0569346i | ||||
\(629\) | 21.6762 | 0.864288 | ||||||||
\(630\) | −20.2309 | − | 17.2755i | −0.806018 | − | 0.688271i | ||||
\(631\) | − | 25.2033i | − | 1.00333i | −0.865063 | − | 0.501663i | \(-0.832722\pi\) | ||
0.865063 | − | 0.501663i | \(-0.167278\pi\) | |||||||
\(632\) | −2.13793 | + | 5.32708i | −0.0850424 | + | 0.211900i | ||||
\(633\) | 29.3968 | + | 16.9723i | 1.16842 | + | 0.674587i | ||||
\(634\) | −31.4559 | + | 29.0378i | −1.24927 | + | 1.15324i | ||||
\(635\) | −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 | ||||
\(640\) | −9.89744 | + | 5.48094i | −0.391231 | + | 0.216653i | ||||
\(641\) | 1.24626 | − | 2.15858i | 0.0492242 | − | 0.0852587i | −0.840363 | − | 0.542023i | \(-0.817658\pi\) |
0.889588 | + | 0.456765i | \(0.150992\pi\) | |||||||
\(642\) | 0.123935 | + | 0.549456i | 0.00489134 | + | 0.0216853i | ||||
\(643\) | − | 39.1121i | − | 1.54243i | −0.636575 | − | 0.771215i | \(-0.719650\pi\) | ||
0.636575 | − | 0.771215i | \(-0.280350\pi\) | |||||||
\(644\) | 18.4450 | + | 29.2715i | 0.726833 | + | 1.15346i | ||||
\(645\) | − | 4.43057i | − | 0.174454i | ||||||
\(646\) | −18.5194 | + | 4.17724i | −0.728635 | + | 0.164351i | ||||
\(647\) | 7.69474 | − | 13.3277i | 0.302512 | − | 0.523965i | −0.674193 | − | 0.738556i | \(-0.735508\pi\) |
0.976704 | + | 0.214590i | \(0.0688416\pi\) | |||||||
\(648\) | −8.09153 | − | 56.6217i | −0.317865 | − | 2.22431i | ||||
\(649\) | 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 | −0.473627 | − | 0.880726i | \(-0.657055\pi\) |
0.525918 | + | 0.850536i | \(0.323722\pi\) | |||||||
\(654\) | −1.40803 | − | 1.52528i | −0.0550583 | − | 0.0596433i | ||||
\(655\) | 16.2949 | + | 9.40788i | 0.636696 | + | 0.367596i | ||||
\(656\) | 21.4128 | + | 17.4367i | 0.836030 | + | 0.680788i | ||||
\(657\) | − | 22.4371i | − | 0.875355i | ||||||
\(658\) | −39.9106 | + | 14.1374i | −1.55588 | + | 0.551132i | ||||
\(659\) | 23.4292 | 0.912670 | 0.456335 | − | 0.889808i | \(-0.349162\pi\) | ||||
0.456335 | + | 0.889808i | \(0.349162\pi\) | |||||||
\(660\) | 15.3407 | + | 1.22839i | 0.597135 | + | 0.0478151i | ||||
\(661\) | −10.1419 | + | 17.5663i | −0.394474 | + | 0.683249i | −0.993034 | − | 0.117829i | \(-0.962407\pi\) |
0.598560 | + | 0.801078i | \(0.295740\pi\) | |||||||
\(662\) | −0.502999 | − | 0.544887i | −0.0195496 | − | 0.0211776i | ||||
\(663\) | −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 | ||||
\(668\) | 10.2809 | − | 4.88654i | 0.397780 | − | 0.189066i | ||||
\(669\) | 3.86225 | + | 2.22987i | 0.149323 | + | 0.0862119i | ||||
\(670\) | −8.64320 | + | 1.94956i | −0.333916 | + | 0.0753181i | ||||
\(671\) | −23.8899 | −0.922259 | ||||||||
\(672\) | 8.54907 | + | 46.8140i | 0.329787 | + | 1.80589i | ||||
\(673\) | −14.3296 | −0.552364 | −0.276182 | − | 0.961105i | \(-0.589069\pi\) | ||||
−0.276182 | + | 0.961105i | \(0.589069\pi\) | |||||||
\(674\) | 4.71315 | − | 1.06310i | 0.181544 | − | 0.0409491i | ||||
\(675\) | −11.3175 | − | 6.53414i | −0.435609 | − | 0.251499i | ||||
\(676\) | −19.2079 | + | 9.12955i | −0.738764 | + | 0.351136i | ||||
\(677\) | 9.11144 | + | 15.7815i | 0.350181 | + | 0.606531i | 0.986281 | − | 0.165075i | \(-0.0527868\pi\) |
−0.636100 | + | 0.771607i | \(0.719453\pi\) | |||||||
\(678\) | 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 | ||||
\(682\) | 4.83481 | + | 5.23743i | 0.185135 | + | 0.200552i | ||||
\(683\) | 11.4579 | − | 19.8456i | 0.438422 | − | 0.759370i | −0.559146 | − | 0.829069i | \(-0.688871\pi\) |
0.997568 | + | 0.0696995i | \(0.0222041\pi\) | |||||||
\(684\) | −25.0407 | − | 2.00511i | −0.957456 | − | 0.0766675i | ||||
\(685\) | 15.1095 | 0.577302 | ||||||||
\(686\) | 21.9426 | − | 14.3012i | 0.837771 | − | 0.546022i | ||||
\(687\) | 69.1124i | 2.63680i | ||||||||
\(688\) | −3.51945 | + | 4.32200i | −0.134178 | + | 0.164775i | ||||
\(689\) | −10.4952 | − | 6.05942i | −0.399836 | − | 0.230846i | ||||
\(690\) | 19.9429 | + | 21.6036i | 0.759212 | + | 0.822435i | ||||
\(691\) | 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 | ||||
\(696\) | 2.98329 | + | 20.8761i | 0.113081 | + | 0.791305i | ||||
\(697\) | 26.2299 | − | 45.4314i | 0.993526 | − | 1.72084i | ||||
\(698\) | 25.7561 | − | 5.80955i | 0.974882 | − | 0.219895i | ||||
\(699\) | 36.1987i | 1.36916i | ||||||||
\(700\) | 4.68147 | + | 2.46655i | 0.176943 | + | 0.0932267i | ||||
\(701\) | 3.87396i | 0.146317i | 0.997320 | + | 0.0731587i | \(0.0233080\pi\) | ||||
−0.997320 | + | 0.0731587i | \(0.976692\pi\) | |||||||
\(702\) | −6.25558 | − | 27.7335i | −0.236101 | − | 1.04673i | ||||
\(703\) | 2.51962 | − | 4.36412i | 0.0950294 | − | 0.164596i | ||||
\(704\) | −13.9890 | − | 13.3842i | −0.527229 | − | 0.504438i | ||||
\(705\) | −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 | −0.879878 | − | 0.475200i | \(-0.842376\pi\) |
−0.0284031 | + | 0.999597i | \(0.509042\pi\) | |||||||
\(710\) | −4.13786 | + | 3.81976i | −0.155291 | + | 0.143353i | ||||
\(711\) | 12.4961 | + | 7.21462i | 0.468640 | + | 0.270569i | ||||
\(712\) | −14.6458 | + | 36.4929i | −0.548874 | + | 1.36763i | ||||
\(713\) | 13.6173i | 0.509972i | ||||||||
\(714\) | 85.2166 | − | 30.1859i | 3.18915 | − | 1.12968i | ||||
\(715\) | 3.72284 | 0.139226 | ||||||||
\(716\) | −0.476269 | + | 5.94786i | −0.0177990 | + | 0.222282i | ||||
\(717\) | −40.9415 | + | 70.9127i | −1.52899 | + | 2.64828i | ||||
\(718\) | −27.3896 | + | 25.2841i | −1.02217 | + | 0.943593i | ||||
\(719\) | 8.27114 | + | 14.3260i | 0.308461 | + | 0.534271i | 0.978026 | − | 0.208483i | \(-0.0668526\pi\) |
−0.669565 | + | 0.742754i | \(0.733519\pi\) | |||||||
\(720\) | 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 | ||||
\(724\) | 27.0572 | − | 12.8604i | 1.00557 | − | 0.477952i | ||||
\(725\) | 2.03071 | + | 1.17243i | 0.0754188 | + | 0.0435430i | ||||
\(726\) | −5.08883 | − | 22.5609i | −0.188864 | − | 0.837312i | ||||
\(727\) | 6.76375 | 0.250854 | 0.125427 | − | 0.992103i | \(-0.459970\pi\) | ||||
0.125427 | + | 0.992103i | \(0.459970\pi\) | |||||||
\(728\) | 2.96535 | + | 11.1233i | 0.109903 | + | 0.412256i | ||||
\(729\) | −19.1232 | −0.708268 | ||||||||
\(730\) | 0.981970 | + | 4.35347i | 0.0363444 | + | 0.161129i | ||||
\(731\) | 9.16996 | + | 5.29428i | 0.339163 | + | 0.195816i | ||||
\(732\) | −26.9484 | − | 56.6974i | −0.996043 | − | 2.09560i | ||||
\(733\) | 17.1394 | + | 29.6863i | 0.633059 | + | 1.09649i | 0.986923 | + | 0.161193i | \(0.0515341\pi\) |
−0.353864 | + | 0.935297i | \(0.615133\pi\) | |||||||
\(734\) | −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 | ||||
\(738\) | 51.0057 | − | 47.0847i | 1.87754 | − | 1.73321i | ||||
\(739\) | −19.2212 | + | 33.2921i | −0.707063 | + | 1.22467i | 0.258879 | + | 0.965910i | \(0.416647\pi\) |
−0.965942 | + | 0.258759i | \(0.916687\pi\) | |||||||
\(740\) | −5.68687 | − | 0.455371i | −0.209053 | − | 0.0167398i | ||||
\(741\) | −8.64088 | −0.317431 | ||||||||
\(742\) | 19.1414 | − | 22.4160i | 0.702703 | − | 0.822918i | ||||
\(743\) | 30.1845i | 1.10736i | 0.832729 | + | 0.553681i | \(0.186777\pi\) | ||||
−0.832729 | + | 0.553681i | \(0.813223\pi\) | |||||||
\(744\) | −6.97610 | + | 17.3823i | −0.255756 | + | 0.637267i | ||||
\(745\) | −9.67998 | − | 5.58874i | −0.354647 | − | 0.204755i | ||||
\(746\) | 24.7927 | − | 22.8868i | 0.907725 | − | 0.837945i | ||||
\(747\) | 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 | −0.901657 | − | 0.432451i | \(-0.857649\pi\) |
−0.0763147 | + | 0.997084i | \(0.524315\pi\) | |||||||
\(752\) | 44.6872 | + | 7.20275i | 1.62957 | + | 0.262657i | ||||
\(753\) | −20.6592 | + | 35.7828i | −0.752864 | + | 1.30400i | ||||
\(754\) | 1.12245 | + | 4.97627i | 0.0408772 | + | 0.181225i | ||||
\(755\) | 15.2226i | 0.554008i | ||||||||
\(756\) | 69.0991 | − | 2.67431i | 2.51311 | − | 0.0972638i | ||||
\(757\) | − | 32.7932i | − | 1.19189i | −0.803025 | − | 0.595945i | \(-0.796777\pi\) | ||
0.803025 | − | 0.595945i | \(-0.203223\pi\) | |||||||
\(758\) | 35.7601 | − | 8.06605i | 1.29886 | − | 0.292972i | ||||
\(759\) | −25.1563 | + | 43.5721i | −0.913117 | + | 1.58157i | ||||
\(760\) | 4.94641 | − | 0.706866i | 0.179425 | − | 0.0256407i | ||||
\(761\) | −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 | ||||
\(766\) | −32.3350 | − | 35.0277i | −1.16831 | − | 1.26560i | ||||
\(767\) | 7.53912 | + | 4.35271i | 0.272222 | + | 0.157167i | ||||
\(768\) | 15.9846 | − | 48.2975i | 0.576796 | − | 1.74279i | ||||
\(769\) | − | 1.25520i | − | 0.0452635i | −0.999744 | − | 0.0226318i | \(-0.992795\pi\) | ||
0.999744 | − | 0.0226318i | \(-0.00720453\pi\) | |||||||
\(770\) | −1.64930 | + | 8.90358i | −0.0594368 | + | 0.320863i | ||||
\(771\) | −52.9102 | −1.90551 | ||||||||
\(772\) | −1.13355 | + | 14.1563i | −0.0407974 | + | 0.509496i | ||||
\(773\) | 11.0046 | − | 19.0605i | 0.395808 | − | 0.685559i | −0.597396 | − | 0.801946i | \(-0.703798\pi\) |
0.993204 | + | 0.116387i | \(0.0371313\pi\) | |||||||
\(774\) | 9.50366 | + | 10.2951i | 0.341602 | + | 0.370049i | ||||
\(775\) | 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 | ||||
\(780\) | 4.19946 | + | 8.83535i | 0.150365 | + | 0.316356i | ||||
\(781\) | −8.34560 | − | 4.81833i | −0.298629 | − | 0.172413i | ||||
\(782\) | −68.5436 | + | 15.4607i | −2.45111 | + | 0.552874i | ||||
\(783\) | 30.6433 | 1.09510 | ||||||||
\(784\) | −27.9162 | + | 2.16410i | −0.997009 | + | 0.0772894i | ||||
\(785\) | 0.715672 | 0.0255434 | ||||||||
\(786\) | −82.5347 | + | 18.6165i | −2.94392 | + | 0.664030i | ||||
\(787\) | 29.8525 | + | 17.2354i | 1.06413 | + | 0.614375i | 0.926571 | − | 0.376119i | \(-0.122742\pi\) |
0.137557 | + | 0.990494i | \(0.456075\pi\) | |||||||
\(788\) | −0.527226 | − | 1.10924i | −0.0187816 | − | 0.0395151i | ||||
\(789\) | −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 | ||||
\(794\) | −4.29829 | − | 4.65623i | −0.152541 | − | 0.165243i | ||||
\(795\) | 12.5245 | − | 21.6930i | 0.444197 | − | 0.769372i | ||||
\(796\) | −1.42761 | + | 17.8286i | −0.0506004 | + | 0.631919i | ||||
\(797\) | −21.2444 | −0.752515 | −0.376258 | − | 0.926515i | \(-0.622789\pi\) | ||||
−0.376258 | + | 0.926515i | \(0.622789\pi\) | |||||||
\(798\) | 3.82811 | − | 20.6656i | 0.135514 | − | 0.731555i | ||||
\(799\) | − | 85.9894i | − | 3.04209i | ||||||
\(800\) | −3.12672 | − | 4.71419i | −0.110546 | − | 0.166672i | ||||
\(801\) | 85.6037 | + | 49.4233i | 3.02466 | + | 1.74629i | ||||
\(802\) | 29.7930 | + | 32.2740i | 1.05203 | + | 1.13963i | ||||
\(803\) | −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 | ||||
\(808\) | 3.90332 | + | 27.3141i | 0.137318 | + | 0.960907i | ||||
\(809\) | −1.39597 | + | 2.41789i | −0.0490796 | + | 0.0850084i | −0.889522 | − | 0.456893i | \(-0.848962\pi\) |
0.840442 | + | 0.541902i | \(0.182295\pi\) | |||||||
\(810\) | 27.8976 | − | 6.29259i | 0.980222 | − | 0.221099i | ||||
\(811\) | − | 46.1196i | − | 1.61948i | −0.586790 | − | 0.809739i | \(-0.699609\pi\) | ||
0.586790 | − | 0.809739i | \(-0.300391\pi\) | |||||||
\(812\) | −12.3986 | + | 0.479857i | −0.435105 | + | 0.0168397i | ||||
\(813\) | − | 33.6752i | − | 1.18104i | ||||||
\(814\) | −2.14812 | − | 9.52350i | −0.0752917 | − | 0.333799i | ||||
\(815\) | −0.890005 | + | 1.54153i | −0.0311755 | + | 0.0539975i | ||||
\(816\) | −95.4156 | − | 15.3792i | −3.34021 | − | 0.538381i | ||||
\(817\) | 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 | \(0.732562\pi\) |
−0.978649 | + | 0.205540i | \(0.934105\pi\) | |||||||
\(822\) | −49.9229 | + | 46.0852i | −1.74126 | + | 1.60740i | ||||
\(823\) | −11.9130 | − | 6.87795i | −0.415259 | − | 0.239750i | 0.277788 | − | 0.960643i | \(-0.410399\pi\) |
−0.693047 | + | 0.720892i | \(0.743732\pi\) | |||||||
\(824\) | −15.7467 | − | 6.31968i | −0.548564 | − | 0.220157i | ||||
\(825\) | 7.69489i | 0.267902i | ||||||||
\(826\) | −13.7500 | + | 16.1023i | −0.478423 | + | 0.560270i | ||||
\(827\) | 19.8375 | 0.689816 | 0.344908 | − | 0.938636i | \(-0.387910\pi\) | ||||
0.344908 | + | 0.938636i | \(0.387910\pi\) | |||||||
\(828\) | −92.6802 | − | 7.42129i | −3.22086 | − | 0.257908i | ||||
\(829\) | −1.25335 | + | 2.17087i | −0.0435308 | + | 0.0753975i | −0.886970 | − | 0.461827i | \(-0.847194\pi\) |
0.843439 | + | 0.537225i | \(0.180527\pi\) | |||||||
\(830\) | −0.300233 | + | 0.277153i | −0.0104212 | + | 0.00962011i | ||||
\(831\) | 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 | ||||
\(836\) | 3.67056 | + | 7.72257i | 0.126949 | + | 0.267091i | ||||
\(837\) | 23.5703 | + | 13.6083i | 0.814708 | + | 0.470372i | ||||
\(838\) | 1.15612 | + | 5.12556i | 0.0399376 | + | 0.177060i | ||||
\(839\) | −27.1009 | −0.935628 | −0.467814 | − | 0.883827i | \(-0.654958\pi\) | ||||
−0.467814 | + | 0.883827i | \(0.654958\pi\) | |||||||
\(840\) | −22.9912 | + | 6.12921i | −0.793270 | + | 0.211478i | ||||
\(841\) | 23.5016 | 0.810400 | ||||||||
\(842\) | 3.07854 | + | 13.6484i | 0.106094 | + | 0.470356i | ||||
\(843\) | −48.5411 | − | 28.0252i | −1.67184 | − | 0.965240i | ||||
\(844\) | 19.2839 | − | 9.16568i | 0.663778 | − | 0.315496i | ||||
\(845\) | −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 | ||||
\(850\) | −7.89638 | + | 7.28936i | −0.270844 | + | 0.250023i | ||||
\(851\) | 9.32558 | − | 16.1524i | 0.319677 | − | 0.553697i | ||||
\(852\) | 2.02120 | − | 25.2417i | 0.0692453 | − | 0.864765i | ||||
\(853\) | −8.16785 | −0.279662 | −0.139831 | − | 0.990175i | \(-0.544656\pi\) | ||||
−0.139831 | + | 0.990175i | \(0.544656\pi\) | |||||||
\(854\) | 34.8164 | − | 12.3329i | 1.19139 | − | 0.422021i | ||||
\(855\) | − | 12.5604i | − | 0.429558i | ||||||
\(856\) | 0.328802 | + | 0.131959i | 0.0112382 | + | 0.00451026i | ||||
\(857\) | −13.4380 | − | 7.75845i | −0.459035 | − | 0.265024i | 0.252604 | − | 0.967570i | \(-0.418713\pi\) |
−0.711638 | + | 0.702546i | \(0.752046\pi\) | |||||||
\(858\) | −12.3006 | + | 11.3550i | −0.419935 | + | 0.387653i | ||||
\(859\) | 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 | 0.187313 | − | 0.982300i | \(-0.440022\pi\) |
0.944353 | + | 0.328932i | \(0.106689\pi\) | |||||||
\(864\) | −66.1897 | − | 32.9222i | −2.25182 | − | 1.12004i | ||||
\(865\) | 9.46941 | − | 16.4015i | 0.321969 | − | 0.557667i | ||||
\(866\) | −1.09422 | − | 4.85110i | −0.0371830 | − | 0.164847i | ||||
\(867\) | 129.550i | 4.39975i | ||||||||
\(868\) | −9.74985 | − | 5.13695i | −0.330932 | − | 0.174359i | ||||
\(869\) | − | 4.91134i | − | 0.166606i | ||||||
\(870\) | −10.2857 | + | 2.32004i | −0.348717 | + | 0.0786566i | ||||
\(871\) | 4.81896 | − | 8.34668i | 0.163284 | − | 0.282816i | ||||
\(872\) | −1.29257 | + | 0.184715i | −0.0437720 | + | 0.00625524i | ||||
\(873\) | −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 | −0.744395 | − | 0.667740i | \(-0.767262\pi\) |
0.206082 | + | 0.978535i | \(0.433929\pi\) | |||||||
\(878\) | 8.74936 | + | 9.47796i | 0.295277 | + | 0.319866i | ||||
\(879\) | 65.5410 | + | 37.8401i | 2.21064 | + | 1.27632i | ||||
\(880\) | 6.11248 | − | 7.50633i | 0.206052 | − | 0.253038i | ||||
\(881\) | 21.5756i | 0.726902i | 0.931613 | + | 0.363451i | \(0.118402\pi\) | ||||
−0.931613 | + | 0.363451i | \(0.881598\pi\) | |||||||
\(882\) | −4.54215 | + | 70.2388i | −0.152942 | + | 2.36506i | ||||
\(883\) | 23.5384 | 0.792131 | 0.396065 | − | 0.918222i | \(-0.370375\pi\) | ||||
0.396065 | + | 0.918222i | \(0.370375\pi\) | |||||||
\(884\) | −23.3046 | − | 1.86610i | −0.783820 | − | 0.0627637i | ||||
\(885\) | −8.99680 | + | 15.5829i | −0.302424 | + | 0.523814i | ||||
\(886\) | 3.31345 | + | 3.58938i | 0.111318 | + | 0.120587i | ||||
\(887\) | −16.6515 | − | 28.8413i | −0.559104 | − | 0.968397i | −0.997572 | − | 0.0696497i | \(-0.977812\pi\) |
0.438467 | − | 0.898747i | \(-0.355521\pi\) | |||||||
\(888\) | 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 | ||||
\(892\) | 2.53358 | − | 1.20422i | 0.0848306 | − | 0.0403202i | ||||
\(893\) | −17.3124 | − | 9.99533i | −0.579338 | − | 0.334481i | ||||
\(894\) | 49.0296 | − | 11.0591i | 1.63979 | − | 0.369872i | ||||
\(895\) | −2.98345 | −0.0997256 | ||||||||
\(896\) | 27.2965 | + | 12.2841i | 0.911913 | + | 0.410384i | ||||
\(897\) | −31.9815 | −1.06783 | ||||||||
\(898\) | −14.2985 | + | 3.22516i | −0.477146 | + | 0.107625i | ||||
\(899\) | −4.22926 | − | 2.44176i | −0.141054 | − | 0.0814374i | ||||
\(900\) | −12.8431 | + | 6.10436i | −0.428104 | + | 0.203479i | ||||
\(901\) | 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 | ||||
\(906\) | −46.4303 | − | 50.2968i | −1.54254 | − | 1.67100i | ||||
\(907\) | −25.9103 | + | 44.8780i | −0.860338 | + | 1.49015i | 0.0112647 | + | 0.999937i | \(0.496414\pi\) |
−0.871603 | + | 0.490213i | \(0.836919\pi\) | |||||||
\(908\) | 8.02092 | + | 0.642268i | 0.266184 | + | 0.0213144i | ||||
\(909\) | 69.3589 | 2.30049 | ||||||||
\(910\) | −5.42555 | + | 1.92187i | −0.179855 | + | 0.0637093i | ||||
\(911\) | 3.37980i | 0.111978i | 0.998431 | + | 0.0559889i | \(0.0178312\pi\) | ||||
−0.998431 | + | 0.0559889i | \(0.982169\pi\) | |||||||
\(912\) | −14.1873 | + | 17.4225i | −0.469790 | + | 0.576918i | ||||
\(913\) | −0.605536 | − | 0.349606i | −0.0200403 | − | 0.0115703i | ||||
\(914\) | −25.8168 | − | 27.9667i | −0.853945 | − | 0.925057i | ||||
\(915\) | 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 | −0.749448 | − | 0.662063i | \(-0.769681\pi\) |
0.198639 | + | 0.980073i | \(0.436348\pi\) | |||||||
\(920\) | 18.3075 | − | 2.61624i | 0.603582 | − | 0.0862549i | ||||
\(921\) | 14.8196 | − | 25.6683i | 0.488322 | − | 0.845799i | ||||
\(922\) | 12.6784 | − | 2.85975i | 0.417542 | − | 0.0941808i | ||||
\(923\) | − | 6.12558i | − | 0.201626i | ||||||
\(924\) | −21.7073 | − | 34.4487i | −0.714117 | − | 1.13328i | ||||
\(925\) | − | 2.85253i | − | 0.0937908i | ||||||
\(926\) | 3.37771 | + | 14.9747i | 0.110998 | + | 0.492101i | ||||
\(927\) | −21.3262 | + | 36.9381i | −0.700446 | + | 1.21321i | ||||
\(928\) | 11.8765 | + | 5.90729i | 0.389867 | + | 0.193916i | ||||
\(929\) | 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 | ||||
\(934\) | −31.1725 | + | 28.7761i | −1.01999 | + | 0.941584i | ||||
\(935\) | −15.9261 | − | 9.19496i | −0.520840 | − | 0.300707i | ||||
\(936\) | −28.7100 | − | 11.5223i | −0.938417 | − | 0.376618i | ||||
\(937\) | − | 21.4342i | − | 0.700224i | −0.936708 | − | 0.350112i | \(-0.886144\pi\) | ||
0.936708 | − | 0.350112i | \(-0.113856\pi\) | |||||||
\(938\) | 17.8271 | + | 15.2228i | 0.582075 | + | 0.497043i | ||||
\(939\) | −73.4006 | −2.39534 | ||||||||
\(940\) | −1.80645 | + | 22.5598i | −0.0589200 | + | 0.735818i | ||||
\(941\) | 7.43223 | − | 12.8730i | 0.242284 | − | 0.419648i | −0.719081 | − | 0.694927i | \(-0.755437\pi\) |
0.961364 | + | 0.275279i | \(0.0887702\pi\) | |||||||
\(942\) | −2.36464 | + | 2.18286i | −0.0770442 | + | 0.0711216i | ||||
\(943\) | −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 | \(0.580157\pi\) | |||||||
\(948\) | 11.6560 | − | 5.54012i | 0.378569 | − | 0.179935i | ||||
\(949\) | −4.20412 | − | 2.42725i | −0.136472 | − | 0.0787919i | ||||
\(950\) | 0.549713 | + | 2.43710i | 0.0178351 | + | 0.0790700i | ||||
\(951\) | 96.2503 | 3.12113 | ||||||||
\(952\) | 14.7875 | − | 54.9089i | 0.479265 | − | 1.77961i | ||||
\(953\) | −24.5807 | −0.796246 | −0.398123 | − | 0.917332i | \(-0.630338\pi\) | ||||
−0.398123 | + | 0.917332i | \(0.630338\pi\) | |||||||
\(954\) | 17.4295 | + | 77.2721i | 0.564301 | + | 2.50178i | ||||
\(955\) | −22.4510 | − | 12.9621i | −0.726497 | − | 0.419443i | ||||
\(956\) | 22.1100 | + | 46.5177i | 0.715088 | + | 1.50449i | ||||
\(957\) | −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 | ||||
\(962\) | 4.55989 | − | 4.20935i | 0.147017 | − | 0.135715i | ||||
\(963\) | 0.445305 | − | 0.771291i | 0.0143498 | − | 0.0248545i | ||||
\(964\) | −3.84581 | − | 0.307950i | −0.123865 | − | 0.00991840i | ||||
\(965\) | −7.10080 | −0.228583 | ||||||||
\(966\) | 14.1685 | − | 76.4872i | 0.455865 | − | 2.46093i | ||||
\(967\) | − | 9.58755i | − | 0.308315i | −0.988046 | − | 0.154157i | \(-0.950734\pi\) | ||
0.988046 | − | 0.154157i | \(-0.0492663\pi\) | |||||||
\(968\) | −13.5007 | − | 5.41829i | −0.433930 | − | 0.174150i | ||||
\(969\) | 36.9653 | + | 21.3419i | 1.18750 | + | 0.685601i | ||||
\(970\) | 0.258901 | − | 0.238999i | 0.00831283 | − | 0.00767379i | ||||
\(971\) | −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 | ||||
\(976\) | −38.9832 | − | 6.28339i | −1.24782 | − | 0.201126i | ||||
\(977\) | 9.57609 | − | 16.5863i | 0.306366 | − | 0.530642i | −0.671198 | − | 0.741278i | \(-0.734220\pi\) |
0.977565 | + | 0.210636i | \(0.0675535\pi\) | |||||||
\(978\) | −1.76116 | − | 7.80795i | −0.0563158 | − | 0.249671i | ||||
\(979\) | − | 33.6449i | − | 1.07529i | ||||||
\(980\) | −2.19272 | − | 13.8272i | −0.0700438 | − | 0.441694i | ||||
\(981\) | 3.28223i | 0.104794i | ||||||||
\(982\) | 39.2225 | − | 8.84703i | 1.25164 | − | 0.282320i | ||||
\(983\) | 14.3326 | − | 24.8248i | 0.457139 | − | 0.791787i | −0.541670 | − | 0.840591i | \(-0.682208\pi\) |
0.998808 | + | 0.0488042i | \(0.0155410\pi\) | |||||||
\(984\) | −8.78317 | − | 61.4616i | −0.279997 | − | 1.95932i | ||||
\(985\) | 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 | ||||
\(990\) | −16.5057 | − | 17.8802i | −0.524585 | − | 0.568270i | ||||
\(991\) | −17.8817 | − | 10.3240i | −0.568030 | − | 0.327952i | 0.188332 | − | 0.982105i | \(-0.439692\pi\) |
−0.756362 | + | 0.654153i | \(0.773025\pi\) | |||||||
\(992\) | 6.51187 | + | 9.81800i | 0.206752 | + | 0.311722i | ||||
\(993\) | 1.66727i | 0.0529093i | ||||||||
\(994\) | 14.6500 | + | 2.71377i | 0.464670 | + | 0.0860757i | ||||
\(995\) | −8.94285 | −0.283507 | ||||||||
\(996\) | 0.146654 | − | 1.83147i | 0.00464689 | − | 0.0580324i | ||||
\(997\) | −9.92952 | + | 17.1984i | −0.314471 | + | 0.544680i | −0.979325 | − | 0.202294i | \(-0.935160\pi\) |
0.664854 | + | 0.746973i | \(0.268494\pi\) | |||||||
\(998\) | −23.3743 | − | 25.3208i | −0.739901 | − | 0.801517i | ||||
\(999\) | −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.e.171.2 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.f.591.1 | 24 | |||
7.5 | odd | 6 | 280.2.bj.f.131.9 | yes | 24 | ||
8.3 | odd | 2 | 280.2.bj.f.171.9 | yes | 24 | ||
8.5 | even | 2 | 1120.2.bz.e.591.1 | 24 | |||
28.19 | even | 6 | 1120.2.bz.e.271.1 | 24 | |||
56.5 | odd | 6 | 1120.2.bz.f.271.1 | 24 | |||
56.19 | even | 6 | inner | 280.2.bj.e.131.2 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.2 | ✓ | 24 | 56.19 | even | 6 | inner | |
280.2.bj.e.171.2 | yes | 24 | 1.1 | even | 1 | trivial | |
280.2.bj.f.131.9 | yes | 24 | 7.5 | odd | 6 | ||
280.2.bj.f.171.9 | yes | 24 | 8.3 | odd | 2 | ||
1120.2.bz.e.271.1 | 24 | 28.19 | even | 6 | |||
1120.2.bz.e.591.1 | 24 | 8.5 | even | 2 | |||
1120.2.bz.f.271.1 | 24 | 56.5 | odd | 6 | |||
1120.2.bz.f.591.1 | 24 | 4.3 | odd | 2 |