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 | 171.11 | ||
Character | \(\chi\) | \(=\) | 280.171 |
Dual form | 280.2.bj.e.131.11 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06817 | − | 0.926830i | 0.755310 | − | 0.655368i | ||||
\(3\) | 1.90624 | + | 1.10057i | 1.10057 | + | 0.635414i | 0.936370 | − | 0.351014i | \(-0.114163\pi\) |
0.164198 | + | 0.986427i | \(0.447496\pi\) | |||||||
\(4\) | 0.281971 | − | 1.98002i | 0.140986 | − | 0.990012i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 3.05623 | − | 0.591168i | 1.24770 | − | 0.241343i | ||||
\(7\) | 0.584379 | − | 2.58041i | 0.220874 | − | 0.975302i | ||||
\(8\) | −1.53395 | − | 2.37634i | −0.542334 | − | 0.840163i | ||||
\(9\) | 0.922503 | + | 1.59782i | 0.307501 | + | 0.532608i | ||||
\(10\) | 1.33674 | + | 0.461647i | 0.422715 | + | 0.145985i | ||||
\(11\) | −2.90486 | + | 5.03137i | −0.875849 | + | 1.51701i | −0.0199929 | + | 0.999800i | \(0.506364\pi\) |
−0.855856 | + | 0.517214i | \(0.826969\pi\) | |||||||
\(12\) | 2.71666 | − | 3.46407i | 0.784231 | − | 0.999992i | ||||
\(13\) | −4.83332 | −1.34052 | −0.670260 | − | 0.742126i | \(-0.733818\pi\) | ||||
−0.670260 | + | 0.742126i | \(0.733818\pi\) | |||||||
\(14\) | −1.76738 | − | 3.29793i | −0.472353 | − | 0.881409i | ||||
\(15\) | 2.20114i | 0.568331i | ||||||||
\(16\) | −3.84098 | − | 1.11662i | −0.960246 | − | 0.279155i | ||||
\(17\) | 3.78236 | + | 2.18375i | 0.917357 | + | 0.529636i | 0.882791 | − | 0.469766i | \(-0.155662\pi\) |
0.0345662 | + | 0.999402i | \(0.488995\pi\) | |||||||
\(18\) | 2.46630 | + | 0.851741i | 0.581313 | + | 0.200757i | ||||
\(19\) | 1.63783 | − | 0.945600i | 0.375743 | − | 0.216936i | −0.300221 | − | 0.953870i | \(-0.597061\pi\) |
0.675965 | + | 0.736934i | \(0.263727\pi\) | |||||||
\(20\) | 1.85574 | − | 0.745818i | 0.414955 | − | 0.166770i | ||||
\(21\) | 3.95388 | − | 4.27573i | 0.862808 | − | 0.933041i | ||||
\(22\) | 1.56034 | + | 8.06667i | 0.332666 | + | 1.71982i | ||||
\(23\) | −0.157820 | + | 0.0911173i | −0.0329077 | + | 0.0189993i | −0.516364 | − | 0.856369i | \(-0.672715\pi\) |
0.483456 | + | 0.875369i | \(0.339381\pi\) | |||||||
\(24\) | −0.308759 | − | 6.21810i | −0.0630252 | − | 1.26926i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −5.16280 | + | 4.47966i | −1.01251 | + | 0.878534i | ||||
\(27\) | − | 2.54230i | − | 0.489266i | ||||||
\(28\) | −4.94449 | − | 1.88468i | −0.934421 | − | 0.356172i | ||||
\(29\) | 4.38898i | 0.815013i | 0.913202 | + | 0.407506i | \(0.133602\pi\) | ||||
−0.913202 | + | 0.407506i | \(0.866398\pi\) | |||||||
\(30\) | 2.04008 | + | 2.35119i | 0.372466 | + | 0.429266i | ||||
\(31\) | 2.03983 | − | 3.53308i | 0.366364 | − | 0.634560i | −0.622630 | − | 0.782516i | \(-0.713936\pi\) |
0.988994 | + | 0.147956i | \(0.0472693\pi\) | |||||||
\(32\) | −5.13774 | + | 2.36720i | −0.908232 | + | 0.418466i | ||||
\(33\) | −11.0747 | + | 6.39400i | −1.92786 | + | 1.11305i | ||||
\(34\) | 6.06416 | − | 1.17300i | 1.04000 | − | 0.201167i | ||||
\(35\) | 2.52689 | − | 0.784117i | 0.427122 | − | 0.132540i | ||||
\(36\) | 3.42385 | − | 1.37604i | 0.570641 | − | 0.229340i | ||||
\(37\) | −3.69132 | + | 2.13119i | −0.606849 | + | 0.350365i | −0.771731 | − | 0.635949i | \(-0.780609\pi\) |
0.164882 | + | 0.986313i | \(0.447276\pi\) | |||||||
\(38\) | 0.873066 | − | 2.52805i | 0.141630 | − | 0.410104i | ||||
\(39\) | −9.21347 | − | 5.31940i | −1.47534 | − | 0.851785i | ||||
\(40\) | 1.29099 | − | 2.51661i | 0.204124 | − | 0.397911i | ||||
\(41\) | − | 3.44314i | − | 0.537729i | −0.963178 | − | 0.268864i | \(-0.913352\pi\) | ||
0.963178 | − | 0.268864i | \(-0.0866483\pi\) | |||||||
\(42\) | 0.260540 | − | 8.23178i | 0.0402022 | − | 1.27019i | ||||
\(43\) | −2.10796 | −0.321461 | −0.160731 | − | 0.986998i | \(-0.551385\pi\) | ||||
−0.160731 | + | 0.986998i | \(0.551385\pi\) | |||||||
\(44\) | 9.14314 | + | 7.17039i | 1.37838 | + | 1.08098i | ||||
\(45\) | −0.922503 | + | 1.59782i | −0.137519 | + | 0.238189i | ||||
\(46\) | −0.0841280 | + | 0.243601i | −0.0124040 | + | 0.0359170i | ||||
\(47\) | −0.946816 | − | 1.63993i | −0.138107 | − | 0.239209i | 0.788673 | − | 0.614813i | \(-0.210769\pi\) |
−0.926780 | + | 0.375604i | \(0.877435\pi\) | |||||||
\(48\) | −6.09293 | − | 6.35581i | −0.879438 | − | 0.917382i | ||||
\(49\) | −6.31700 | − | 3.01587i | −0.902429 | − | 0.430839i | ||||
\(50\) | 0.268574 | + | 1.38848i | 0.0379821 | + | 0.196360i | ||||
\(51\) | 4.80673 | + | 8.32550i | 0.673076 | + | 1.16580i | ||||
\(52\) | −1.36286 | + | 9.57008i | −0.188994 | + | 1.32713i | ||||
\(53\) | 8.54212 | + | 4.93180i | 1.17335 | + | 0.677434i | 0.954467 | − | 0.298317i | \(-0.0964252\pi\) |
0.218884 | + | 0.975751i | \(0.429758\pi\) | |||||||
\(54\) | −2.35628 | − | 2.71561i | −0.320649 | − | 0.369547i | ||||
\(55\) | −5.80972 | −0.783383 | ||||||||
\(56\) | −7.02833 | + | 2.56954i | −0.939200 | + | 0.343369i | ||||
\(57\) | 4.16279 | 0.551375 | ||||||||
\(58\) | 4.06784 | + | 4.68817i | 0.534133 | + | 0.615587i | ||||
\(59\) | −6.35546 | − | 3.66932i | −0.827410 | − | 0.477705i | 0.0255550 | − | 0.999673i | \(-0.491865\pi\) |
−0.852965 | + | 0.521968i | \(0.825198\pi\) | |||||||
\(60\) | 4.35830 | + | 0.620657i | 0.562655 | + | 0.0801265i | ||||
\(61\) | 4.89522 | + | 8.47877i | 0.626769 | + | 1.08560i | 0.988196 | + | 0.153195i | \(0.0489562\pi\) |
−0.361427 | + | 0.932400i | \(0.617710\pi\) | |||||||
\(62\) | −1.09569 | − | 5.66450i | −0.139153 | − | 0.719393i | ||||
\(63\) | 4.66212 | − | 1.44670i | 0.587373 | − | 0.182267i | ||||
\(64\) | −3.29398 | + | 7.29039i | −0.411747 | + | 0.911298i | ||||
\(65\) | −2.41666 | − | 4.18577i | −0.299750 | − | 0.519181i | ||||
\(66\) | −5.90354 | + | 17.0943i | −0.726675 | + | 2.10416i | ||||
\(67\) | 6.04954 | − | 10.4781i | 0.739069 | − | 1.28011i | −0.213845 | − | 0.976868i | \(-0.568599\pi\) |
0.952915 | − | 0.303238i | \(-0.0980678\pi\) | |||||||
\(68\) | 5.39039 | − | 6.87341i | 0.653680 | − | 0.833523i | ||||
\(69\) | −0.401124 | −0.0482896 | ||||||||
\(70\) | 1.97240 | − | 3.17957i | 0.235747 | − | 0.380031i | ||||
\(71\) | − | 8.80669i | − | 1.04516i | −0.852590 | − | 0.522581i | \(-0.824969\pi\) | ||
0.852590 | − | 0.522581i | \(-0.175031\pi\) | |||||||
\(72\) | 2.38189 | − | 4.64317i | 0.280709 | − | 0.547202i | ||||
\(73\) | 7.34998 | + | 4.24351i | 0.860250 | + | 0.496666i | 0.864096 | − | 0.503327i | \(-0.167891\pi\) |
−0.00384586 | + | 0.999993i | \(0.501224\pi\) | |||||||
\(74\) | −1.96771 | + | 5.69769i | −0.228741 | + | 0.662344i | ||||
\(75\) | −1.90624 | + | 1.10057i | −0.220114 | + | 0.127083i | ||||
\(76\) | −1.41049 | − | 3.50957i | −0.161794 | − | 0.402575i | ||||
\(77\) | 11.2854 | + | 10.4360i | 1.28610 | + | 1.18929i | ||||
\(78\) | −14.7717 | + | 2.85730i | −1.67257 | + | 0.323526i | ||||
\(79\) | −10.5541 | + | 6.09342i | −1.18743 | + | 0.685563i | −0.957722 | − | 0.287696i | \(-0.907111\pi\) |
−0.229708 | + | 0.973259i | \(0.573777\pi\) | |||||||
\(80\) | −0.953472 | − | 3.88470i | −0.106601 | − | 0.434323i | ||||
\(81\) | 5.56549 | − | 9.63970i | 0.618387 | − | 1.07108i | ||||
\(82\) | −3.19121 | − | 3.67786i | −0.352410 | − | 0.406152i | ||||
\(83\) | − | 16.9697i | − | 1.86267i | −0.364163 | − | 0.931335i | \(-0.618645\pi\) | ||
0.364163 | − | 0.931335i | \(-0.381355\pi\) | |||||||
\(84\) | −7.35116 | − | 9.03441i | −0.802078 | − | 0.985735i | ||||
\(85\) | 4.36749i | 0.473721i | ||||||||
\(86\) | −2.25166 | + | 1.95372i | −0.242803 | + | 0.210676i | ||||
\(87\) | −4.83037 | + | 8.36645i | −0.517870 | + | 0.896977i | ||||
\(88\) | 16.4122 | − | 0.814944i | 1.74954 | − | 0.0868734i | ||||
\(89\) | −5.11692 | + | 2.95425i | −0.542392 | + | 0.313150i | −0.746048 | − | 0.665892i | \(-0.768051\pi\) |
0.203656 | + | 0.979043i | \(0.434718\pi\) | |||||||
\(90\) | 0.495521 | + | 2.56175i | 0.0522325 | + | 0.270032i | ||||
\(91\) | −2.82449 | + | 12.4719i | −0.296087 | + | 1.30741i | ||||
\(92\) | 0.135914 | + | 0.338179i | 0.0141700 | + | 0.0352576i | ||||
\(93\) | 7.77680 | − | 4.48994i | 0.806417 | − | 0.465585i | ||||
\(94\) | −2.53130 | − | 0.874188i | −0.261084 | − | 0.0901656i | ||||
\(95\) | 1.63783 | + | 0.945600i | 0.168038 | + | 0.0970165i | ||||
\(96\) | −12.3990 | − | 1.14197i | −1.26547 | − | 0.116552i | ||||
\(97\) | 13.2388i | 1.34420i | 0.740461 | + | 0.672100i | \(0.234607\pi\) | ||||
−0.740461 | + | 0.672100i | \(0.765393\pi\) | |||||||
\(98\) | −9.54283 | + | 2.63333i | −0.963971 | + | 0.266007i | ||||
\(99\) | −10.7190 | −1.07730 | ||||||||
\(100\) | 1.57376 | + | 1.23421i | 0.157376 | + | 0.123421i | ||||
\(101\) | 1.23442 | − | 2.13807i | 0.122829 | − | 0.212746i | −0.798053 | − | 0.602587i | \(-0.794137\pi\) |
0.920882 | + | 0.389841i | \(0.127470\pi\) | |||||||
\(102\) | 12.8507 | + | 4.43802i | 1.27241 | + | 0.439429i | ||||
\(103\) | −0.920346 | − | 1.59409i | −0.0906844 | − | 0.157070i | 0.817115 | − | 0.576475i | \(-0.195572\pi\) |
−0.907799 | + | 0.419405i | \(0.862239\pi\) | |||||||
\(104\) | 7.41408 | + | 11.4856i | 0.727010 | + | 1.12626i | ||||
\(105\) | 5.67983 | + | 1.28630i | 0.554295 | + | 0.125530i | ||||
\(106\) | 13.6954 | − | 2.64910i | 1.33021 | − | 0.257304i | ||||
\(107\) | 9.08674 | + | 15.7387i | 0.878448 | + | 1.52152i | 0.853044 | + | 0.521839i | \(0.174754\pi\) |
0.0254044 | + | 0.999677i | \(0.491913\pi\) | |||||||
\(108\) | −5.03381 | − | 0.716855i | −0.484379 | − | 0.0689794i | ||||
\(109\) | −3.40525 | − | 1.96602i | −0.326164 | − | 0.188311i | 0.327973 | − | 0.944687i | \(-0.393635\pi\) |
−0.654137 | + | 0.756376i | \(0.726968\pi\) | |||||||
\(110\) | −6.20577 | + | 5.38463i | −0.591697 | + | 0.513404i | ||||
\(111\) | −9.38206 | −0.890506 | ||||||||
\(112\) | −5.12592 | + | 9.25878i | −0.484354 | + | 0.874872i | ||||
\(113\) | 7.16641 | 0.674159 | 0.337079 | − | 0.941476i | \(-0.390561\pi\) | ||||
0.337079 | + | 0.941476i | \(0.390561\pi\) | |||||||
\(114\) | 4.44657 | − | 3.85820i | 0.416459 | − | 0.361354i | ||||
\(115\) | −0.157820 | − | 0.0911173i | −0.0147168 | − | 0.00849673i | ||||
\(116\) | 8.69028 | + | 1.23756i | 0.806872 | + | 0.114905i | ||||
\(117\) | −4.45875 | − | 7.72278i | −0.412212 | − | 0.713972i | ||||
\(118\) | −10.1895 | + | 1.97097i | −0.938024 | + | 0.181443i | ||||
\(119\) | 7.84529 | − | 8.48390i | 0.719176 | − | 0.777717i | ||||
\(120\) | 5.23065 | − | 3.37644i | 0.477491 | − | 0.308226i | ||||
\(121\) | −11.3764 | − | 19.7046i | −1.03422 | − | 1.79133i | ||||
\(122\) | 13.0873 | + | 4.51972i | 1.18487 | + | 0.409196i | ||||
\(123\) | 3.78942 | − | 6.56346i | 0.341680 | − | 0.591808i | ||||
\(124\) | −6.42041 | − | 5.03513i | −0.576570 | − | 0.452168i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 3.63909 | − | 5.86632i | 0.324196 | − | 0.522613i | ||||
\(127\) | − | 2.88206i | − | 0.255742i | −0.991791 | − | 0.127871i | \(-0.959186\pi\) | ||
0.991791 | − | 0.127871i | \(-0.0408143\pi\) | |||||||
\(128\) | 3.23842 | + | 10.8403i | 0.286239 | + | 0.958158i | ||||
\(129\) | −4.01829 | − | 2.31996i | −0.353790 | − | 0.204261i | ||||
\(130\) | −6.46090 | − | 2.23128i | −0.566659 | − | 0.195697i | ||||
\(131\) | 6.92953 | − | 4.00076i | 0.605436 | − | 0.349548i | −0.165741 | − | 0.986169i | \(-0.553002\pi\) |
0.771177 | + | 0.636621i | \(0.219668\pi\) | |||||||
\(132\) | 9.53752 | + | 23.7312i | 0.830134 | + | 2.06553i | ||||
\(133\) | −1.48292 | − | 4.77885i | −0.128586 | − | 0.414379i | ||||
\(134\) | −3.24950 | − | 16.7993i | −0.280714 | − | 1.45124i | ||||
\(135\) | 2.20170 | − | 1.27115i | 0.189492 | − | 0.109403i | ||||
\(136\) | −0.612639 | − | 12.3379i | −0.0525334 | − | 1.05797i | ||||
\(137\) | 5.09925 | − | 8.83216i | 0.435658 | − | 0.754582i | −0.561691 | − | 0.827347i | \(-0.689849\pi\) |
0.997349 | + | 0.0727651i | \(0.0231823\pi\) | |||||||
\(138\) | −0.428468 | + | 0.371773i | −0.0364736 | + | 0.0316475i | ||||
\(139\) | − | 9.93769i | − | 0.842904i | −0.906851 | − | 0.421452i | \(-0.861521\pi\) | ||
0.906851 | − | 0.421452i | \(-0.138479\pi\) | |||||||
\(140\) | −0.840060 | − | 5.22439i | −0.0709981 | − | 0.441542i | ||||
\(141\) | − | 4.16814i | − | 0.351021i | ||||||
\(142\) | −8.16230 | − | 9.40703i | −0.684965 | − | 0.789421i | ||||
\(143\) | 14.0401 | − | 24.3182i | 1.17409 | − | 2.03359i | ||||
\(144\) | −1.75916 | − | 7.16730i | −0.146597 | − | 0.597275i | ||||
\(145\) | −3.80097 | + | 2.19449i | −0.315653 | + | 0.182242i | ||||
\(146\) | 11.7840 | − | 2.27939i | 0.975254 | − | 0.188644i | ||||
\(147\) | −8.72256 | − | 12.7013i | −0.719424 | − | 1.04758i | ||||
\(148\) | 3.17895 | + | 7.90983i | 0.261308 | + | 0.650184i | ||||
\(149\) | −13.6559 | + | 7.88422i | −1.11873 | + | 0.645900i | −0.941077 | − | 0.338192i | \(-0.890185\pi\) |
−0.177655 | + | 0.984093i | \(0.556851\pi\) | |||||||
\(150\) | −1.01615 | + | 2.94236i | −0.0829681 | + | 0.240242i | ||||
\(151\) | 5.24155 | + | 3.02621i | 0.426552 | + | 0.246270i | 0.697877 | − | 0.716218i | \(-0.254128\pi\) |
−0.271325 | + | 0.962488i | \(0.587462\pi\) | |||||||
\(152\) | −4.75942 | − | 2.44153i | −0.386040 | − | 0.198034i | ||||
\(153\) | 8.05806i | 0.651455i | ||||||||
\(154\) | 21.7271 | + | 0.687674i | 1.75082 | + | 0.0554143i | ||||
\(155\) | 4.07965 | 0.327686 | ||||||||
\(156\) | −13.1305 | + | 16.7430i | −1.05128 | + | 1.34051i | ||||
\(157\) | 10.2074 | − | 17.6798i | 0.814641 | − | 1.41100i | −0.0949439 | − | 0.995483i | \(-0.530267\pi\) |
0.909585 | − | 0.415518i | \(-0.136400\pi\) | |||||||
\(158\) | −5.62601 | + | 16.2907i | −0.447581 | + | 1.29602i | ||||
\(159\) | 10.8556 | + | 18.8024i | 0.860902 | + | 1.49113i | ||||
\(160\) | −4.61893 | − | 3.26581i | −0.365158 | − | 0.258185i | ||||
\(161\) | 0.142893 | + | 0.460486i | 0.0112616 | + | 0.0362914i | ||||
\(162\) | −2.98949 | − | 15.4551i | −0.234876 | − | 1.21427i | ||||
\(163\) | 1.91267 | + | 3.31285i | 0.149812 | + | 0.259482i | 0.931158 | − | 0.364616i | \(-0.118800\pi\) |
−0.781346 | + | 0.624098i | \(0.785466\pi\) | |||||||
\(164\) | −6.81751 | − | 0.970867i | −0.532358 | − | 0.0758120i | ||||
\(165\) | −11.0747 | − | 6.39400i | −0.862167 | − | 0.497772i | ||||
\(166\) | −15.7281 | − | 18.1266i | −1.22073 | − | 1.40689i | ||||
\(167\) | 21.6531 | 1.67556 | 0.837782 | − | 0.546005i | \(-0.183852\pi\) | ||||
0.837782 | + | 0.546005i | \(0.183852\pi\) | |||||||
\(168\) | −16.2257 | − | 2.83700i | −1.25184 | − | 0.218879i | ||||
\(169\) | 10.3609 | 0.796996 | ||||||||
\(170\) | 4.04793 | + | 4.66522i | 0.310462 | + | 0.357806i | ||||
\(171\) | 3.02180 | + | 1.74464i | 0.231083 | + | 0.133416i | ||||
\(172\) | −0.594385 | + | 4.17382i | −0.0453214 | + | 0.318251i | ||||
\(173\) | −5.20160 | − | 9.00944i | −0.395470 | − | 0.684975i | 0.597691 | − | 0.801727i | \(-0.296085\pi\) |
−0.993161 | + | 0.116752i | \(0.962752\pi\) | |||||||
\(174\) | 2.59462 | + | 13.4137i | 0.196698 | + | 1.01689i | ||||
\(175\) | 1.94251 | + | 1.79629i | 0.146840 | + | 0.135787i | ||||
\(176\) | 16.7756 | − | 16.0818i | 1.26451 | − | 1.21221i | ||||
\(177\) | −8.07669 | − | 13.9892i | −0.607081 | − | 1.05150i | ||||
\(178\) | −2.72764 | + | 7.89816i | −0.204445 | + | 0.591992i | ||||
\(179\) | 3.80514 | − | 6.59069i | 0.284409 | − | 0.492611i | −0.688056 | − | 0.725657i | \(-0.741536\pi\) |
0.972466 | + | 0.233046i | \(0.0748692\pi\) | |||||||
\(180\) | 2.90361 | + | 2.27712i | 0.216422 | + | 0.169726i | ||||
\(181\) | 11.2225 | 0.834160 | 0.417080 | − | 0.908870i | \(-0.363054\pi\) | ||||
0.417080 | + | 0.908870i | \(0.363054\pi\) | |||||||
\(182\) | 8.54233 | + | 15.9399i | 0.633199 | + | 1.18155i | ||||
\(183\) | 21.5501i | 1.59303i | ||||||||
\(184\) | 0.458614 | + | 0.235264i | 0.0338095 | + | 0.0173439i | ||||
\(185\) | −3.69132 | − | 2.13119i | −0.271391 | − | 0.156688i | ||||
\(186\) | 4.14553 | − | 12.0038i | 0.303965 | − | 0.880161i | ||||
\(187\) | −21.9745 | + | 12.6870i | −1.60693 | + | 0.927763i | ||||
\(188\) | −3.51408 | + | 1.41230i | −0.256291 | + | 0.103003i | ||||
\(189\) | −6.56017 | − | 1.48567i | −0.477182 | − | 0.108066i | ||||
\(190\) | 2.62589 | − | 0.507927i | 0.190502 | − | 0.0368489i | ||||
\(191\) | −6.68571 | + | 3.86000i | −0.483761 | + | 0.279300i | −0.721983 | − | 0.691911i | \(-0.756769\pi\) |
0.238222 | + | 0.971211i | \(0.423436\pi\) | |||||||
\(192\) | −14.3027 | + | 10.2720i | −1.03221 | + | 0.741317i | ||||
\(193\) | −11.7011 | + | 20.2669i | −0.842265 | + | 1.45885i | 0.0457097 | + | 0.998955i | \(0.485445\pi\) |
−0.887975 | + | 0.459892i | \(0.847888\pi\) | |||||||
\(194\) | 12.2701 | + | 14.1413i | 0.880945 | + | 1.01529i | ||||
\(195\) | − | 10.6388i | − | 0.761860i | ||||||
\(196\) | −7.75271 | + | 11.6574i | −0.553765 | + | 0.832673i | ||||
\(197\) | 20.4272i | 1.45538i | 0.685907 | + | 0.727689i | \(0.259406\pi\) | ||||
−0.685907 | + | 0.727689i | \(0.740594\pi\) | |||||||
\(198\) | −11.4497 | + | 9.93468i | −0.813694 | + | 0.706027i | ||||
\(199\) | −1.10091 | + | 1.90683i | −0.0780413 | + | 0.135172i | −0.902405 | − | 0.430889i | \(-0.858200\pi\) |
0.824363 | + | 0.566061i | \(0.191533\pi\) | |||||||
\(200\) | 2.82495 | − | 0.140272i | 0.199754 | − | 0.00991876i | ||||
\(201\) | 23.0638 | − | 13.3159i | 1.62679 | − | 0.939230i | ||||
\(202\) | −0.663064 | − | 3.42792i | −0.0466530 | − | 0.241187i | ||||
\(203\) | 11.3253 | + | 2.56482i | 0.794884 | + | 0.180015i | ||||
\(204\) | 17.8400 | − | 7.16988i | 1.24905 | − | 0.501992i | ||||
\(205\) | 2.98185 | − | 1.72157i | 0.208261 | − | 0.120240i | ||||
\(206\) | −2.46053 | − | 0.849749i | −0.171433 | − | 0.0592048i | ||||
\(207\) | −0.291179 | − | 0.168112i | −0.0202383 | − | 0.0116846i | ||||
\(208\) | 18.5647 | + | 5.39697i | 1.28723 | + | 0.374213i | ||||
\(209\) | 10.9874i | 0.760011i | ||||||||
\(210\) | 7.25920 | − | 3.89026i | 0.500932 | − | 0.268453i | ||||
\(211\) | −28.9363 | −1.99206 | −0.996028 | − | 0.0890425i | \(-0.971619\pi\) | ||||
−0.996028 | + | 0.0890425i | \(0.971619\pi\) | |||||||
\(212\) | 12.1737 | − | 15.5230i | 0.836093 | − | 1.06612i | ||||
\(213\) | 9.69236 | − | 16.7877i | 0.664110 | − | 1.15027i | ||||
\(214\) | 24.2933 | + | 8.38972i | 1.66065 | + | 0.573510i | ||||
\(215\) | −1.05398 | − | 1.82555i | −0.0718810 | − | 0.124501i | ||||
\(216\) | −6.04136 | + | 3.89977i | −0.411063 | + | 0.265346i | ||||
\(217\) | −7.92476 | − | 7.32824i | −0.537968 | − | 0.497473i | ||||
\(218\) | −5.45955 | + | 1.05605i | −0.369768 | + | 0.0715244i | ||||
\(219\) | 9.34056 | + | 16.1783i | 0.631176 | + | 1.09323i | ||||
\(220\) | −1.63817 | + | 11.5034i | −0.110446 | + | 0.775558i | ||||
\(221\) | −18.2813 | − | 10.5547i | −1.22974 | − | 0.709989i | ||||
\(222\) | −10.0216 | + | 8.69558i | −0.672608 | + | 0.583609i | ||||
\(223\) | 11.0535 | 0.740200 | 0.370100 | − | 0.928992i | \(-0.379323\pi\) | ||||
0.370100 | + | 0.928992i | \(0.379323\pi\) | |||||||
\(224\) | 3.10596 | + | 14.6408i | 0.207526 | + | 0.978230i | ||||
\(225\) | −1.84501 | −0.123000 | ||||||||
\(226\) | 7.65493 | − | 6.64204i | 0.509199 | − | 0.441822i | ||||
\(227\) | 7.11916 | + | 4.11025i | 0.472515 | + | 0.272807i | 0.717292 | − | 0.696773i | \(-0.245381\pi\) |
−0.244777 | + | 0.969579i | \(0.578715\pi\) | |||||||
\(228\) | 1.17379 | − | 8.24243i | 0.0777359 | − | 0.545868i | ||||
\(229\) | −5.03725 | − | 8.72478i | −0.332871 | − | 0.576549i | 0.650203 | − | 0.759761i | \(-0.274684\pi\) |
−0.983074 | + | 0.183211i | \(0.941351\pi\) | |||||||
\(230\) | −0.253029 | + | 0.0489435i | −0.0166842 | + | 0.00322724i | ||||
\(231\) | 10.0273 | + | 32.3138i | 0.659747 | + | 2.12609i | ||||
\(232\) | 10.4297 | − | 6.73248i | 0.684743 | − | 0.442009i | ||||
\(233\) | 3.68557 | + | 6.38359i | 0.241450 | + | 0.418203i | 0.961127 | − | 0.276105i | \(-0.0890438\pi\) |
−0.719678 | + | 0.694308i | \(0.755711\pi\) | |||||||
\(234\) | −11.9204 | − | 4.11673i | −0.779262 | − | 0.269119i | ||||
\(235\) | 0.946816 | − | 1.63993i | 0.0617634 | − | 0.106977i | ||||
\(236\) | −9.05740 | + | 11.5493i | −0.589587 | + | 0.751796i | ||||
\(237\) | −26.8249 | −1.74246 | ||||||||
\(238\) | 0.516963 | − | 16.3335i | 0.0335097 | − | 1.05874i | ||||
\(239\) | 20.9534i | 1.35536i | 0.735355 | + | 0.677682i | \(0.237016\pi\) | ||||
−0.735355 | + | 0.677682i | \(0.762984\pi\) | |||||||
\(240\) | 2.45783 | − | 8.45454i | 0.158652 | − | 0.545738i | ||||
\(241\) | −2.42132 | − | 1.39795i | −0.155971 | − | 0.0900498i | 0.419983 | − | 0.907532i | \(-0.362036\pi\) |
−0.575954 | + | 0.817482i | \(0.695369\pi\) | |||||||
\(242\) | −30.4148 | − | 10.5038i | −1.95514 | − | 0.675209i | ||||
\(243\) | 14.6132 | − | 8.43695i | 0.937439 | − | 0.541231i | ||||
\(244\) | 18.1685 | − | 7.30188i | 1.16312 | − | 0.467455i | ||||
\(245\) | −0.546681 | − | 6.97862i | −0.0349262 | − | 0.445848i | ||||
\(246\) | −2.03548 | − | 10.5230i | −0.129777 | − | 0.670924i | ||||
\(247\) | −7.91614 | + | 4.57039i | −0.503692 | + | 0.290807i | ||||
\(248\) | −11.5248 | + | 0.572263i | −0.731826 | + | 0.0363387i | ||||
\(249\) | 18.6764 | − | 32.3484i | 1.18357 | − | 2.05000i | ||||
\(250\) | −1.06817 | + | 0.926830i | −0.0675570 | + | 0.0586179i | ||||
\(251\) | 18.7656i | 1.18448i | 0.805763 | + | 0.592238i | \(0.201756\pi\) | ||||
−0.805763 | + | 0.592238i | \(0.798244\pi\) | |||||||
\(252\) | −1.54992 | − | 9.63904i | −0.0976356 | − | 0.607203i | ||||
\(253\) | − | 1.05873i | − | 0.0665620i | ||||||
\(254\) | −2.67118 | − | 3.07853i | −0.167605 | − | 0.193164i | ||||
\(255\) | −4.80673 | + | 8.32550i | −0.301009 | + | 0.521363i | ||||
\(256\) | 13.5063 | + | 8.57783i | 0.844145 | + | 0.536114i | ||||
\(257\) | −6.76564 | + | 3.90615i | −0.422029 | + | 0.243659i | −0.695945 | − | 0.718095i | \(-0.745014\pi\) |
0.273916 | + | 0.961754i | \(0.411681\pi\) | |||||||
\(258\) | −6.44242 | + | 1.24616i | −0.401088 | + | 0.0775826i | ||||
\(259\) | 3.34220 | + | 10.7705i | 0.207674 | + | 0.669248i | ||||
\(260\) | −8.96936 | + | 3.60477i | −0.556256 | + | 0.223558i | ||||
\(261\) | −7.01281 | + | 4.04885i | −0.434082 | + | 0.250617i | ||||
\(262\) | 3.69388 | − | 10.6960i | 0.228209 | − | 0.660800i | ||||
\(263\) | −5.03985 | − | 2.90976i | −0.310770 | − | 0.179423i | 0.336501 | − | 0.941683i | \(-0.390757\pi\) |
−0.647271 | + | 0.762260i | \(0.724090\pi\) | |||||||
\(264\) | 32.1824 | + | 16.5092i | 1.98069 | + | 1.01607i | ||||
\(265\) | 9.86359i | 0.605916i | ||||||||
\(266\) | −6.01320 | − | 3.73020i | −0.368693 | − | 0.228713i | ||||
\(267\) | −13.0054 | −0.795920 | ||||||||
\(268\) | −19.0411 | − | 14.9328i | −1.16312 | − | 0.912164i | ||||
\(269\) | −12.0950 | + | 20.9492i | −0.737445 | + | 1.27729i | 0.216197 | + | 0.976350i | \(0.430635\pi\) |
−0.953642 | + | 0.300943i | \(0.902699\pi\) | |||||||
\(270\) | 1.17364 | − | 3.39840i | 0.0714257 | − | 0.206820i | ||||
\(271\) | −7.83742 | − | 13.5748i | −0.476089 | − | 0.824611i | 0.523536 | − | 0.852004i | \(-0.324613\pi\) |
−0.999625 | + | 0.0273932i | \(0.991279\pi\) | |||||||
\(272\) | −12.0896 | − | 12.6112i | −0.733038 | − | 0.764666i | ||||
\(273\) | −19.1104 | + | 20.6660i | −1.15661 | + | 1.25076i | ||||
\(274\) | −2.73905 | − | 14.1604i | −0.165472 | − | 0.855460i | ||||
\(275\) | −2.90486 | − | 5.03137i | −0.175170 | − | 0.303403i | ||||
\(276\) | −0.113105 | + | 0.794234i | −0.00680813 | + | 0.0478073i | ||||
\(277\) | −12.6984 | − | 7.33142i | −0.762972 | − | 0.440502i | 0.0673898 | − | 0.997727i | \(-0.478533\pi\) |
−0.830362 | + | 0.557225i | \(0.811866\pi\) | |||||||
\(278\) | −9.21055 | − | 10.6151i | −0.552412 | − | 0.636653i | ||||
\(279\) | 7.52699 | 0.450629 | ||||||||
\(280\) | −5.73945 | − | 4.80194i | −0.342998 | − | 0.286971i | ||||
\(281\) | 15.0418 | 0.897320 | 0.448660 | − | 0.893703i | \(-0.351901\pi\) | ||||
0.448660 | + | 0.893703i | \(0.351901\pi\) | |||||||
\(282\) | −3.86316 | − | 4.45228i | −0.230048 | − | 0.265130i | ||||
\(283\) | 4.29409 | + | 2.47919i | 0.255257 | + | 0.147373i | 0.622169 | − | 0.782883i | \(-0.286252\pi\) |
−0.366912 | + | 0.930256i | \(0.619585\pi\) | |||||||
\(284\) | −17.4374 | − | 2.48323i | −1.03472 | − | 0.147353i | ||||
\(285\) | 2.08140 | + | 3.60508i | 0.123291 | + | 0.213547i | ||||
\(286\) | −7.54162 | − | 38.9888i | −0.445945 | − | 2.30545i | ||||
\(287\) | −8.88471 | − | 2.01210i | −0.524448 | − | 0.118771i | ||||
\(288\) | −8.52195 | − | 6.02544i | −0.502161 | − | 0.355053i | ||||
\(289\) | 1.03750 | + | 1.79700i | 0.0610294 | + | 0.105706i | ||||
\(290\) | −2.02616 | + | 5.86693i | −0.118980 | + | 0.344518i | ||||
\(291\) | −14.5702 | + | 25.2364i | −0.854123 | + | 1.47938i | ||||
\(292\) | 10.4747 | − | 13.3566i | 0.612988 | − | 0.781635i | ||||
\(293\) | −2.56812 | −0.150031 | −0.0750156 | − | 0.997182i | \(-0.523901\pi\) | ||||
−0.0750156 | + | 0.997182i | \(0.523901\pi\) | |||||||
\(294\) | −21.0891 | − | 5.48278i | −1.22994 | − | 0.319762i | ||||
\(295\) | − | 7.33865i | − | 0.427273i | ||||||
\(296\) | 10.7267 | + | 5.50269i | 0.623479 | + | 0.319838i | ||||
\(297\) | 12.7912 | + | 7.38503i | 0.742223 | + | 0.428523i | ||||
\(298\) | −7.27944 | + | 21.0784i | −0.421687 | + | 1.22104i | ||||
\(299\) | 0.762793 | − | 0.440399i | 0.0441135 | − | 0.0254689i | ||||
\(300\) | 1.64165 | + | 4.08473i | 0.0947805 | + | 0.235832i | ||||
\(301\) | −1.23185 | + | 5.43941i | −0.0710026 | + | 0.313522i | ||||
\(302\) | 8.40365 | − | 1.62552i | 0.483576 | − | 0.0935384i | ||||
\(303\) | 4.70619 | − | 2.71712i | 0.270363 | − | 0.156094i | ||||
\(304\) | −7.34675 | + | 1.80321i | −0.421365 | + | 0.103421i | ||||
\(305\) | −4.89522 | + | 8.47877i | −0.280299 | + | 0.485493i | ||||
\(306\) | 7.46845 | + | 8.60737i | 0.426943 | + | 0.492050i | ||||
\(307\) | 14.4425i | 0.824280i | 0.911121 | + | 0.412140i | \(0.135219\pi\) | ||||
−0.911121 | + | 0.412140i | \(0.864781\pi\) | |||||||
\(308\) | 23.8456 | − | 19.4028i | 1.35873 | − | 1.10558i | ||||
\(309\) | − | 4.05162i | − | 0.230488i | ||||||
\(310\) | 4.35776 | − | 3.78115i | 0.247504 | − | 0.214755i | ||||
\(311\) | 8.26712 | − | 14.3191i | 0.468785 | − | 0.811960i | −0.530578 | − | 0.847636i | \(-0.678025\pi\) |
0.999363 | + | 0.0356762i | \(0.0113585\pi\) | |||||||
\(312\) | 1.49233 | + | 30.0540i | 0.0844866 | + | 1.70147i | ||||
\(313\) | 2.19818 | − | 1.26912i | 0.124248 | − | 0.0717348i | −0.436588 | − | 0.899662i | \(-0.643813\pi\) |
0.560836 | + | 0.827927i | \(0.310480\pi\) | |||||||
\(314\) | −5.48290 | − | 28.3456i | −0.309418 | − | 1.59963i | ||||
\(315\) | 3.58394 | + | 3.31417i | 0.201932 | + | 0.186732i | ||||
\(316\) | 9.08916 | + | 22.6156i | 0.511305 | + | 1.27222i | ||||
\(317\) | 14.8432 | − | 8.56971i | 0.833676 | − | 0.481323i | −0.0214339 | − | 0.999770i | \(-0.506823\pi\) |
0.855109 | + | 0.518447i | \(0.173490\pi\) | |||||||
\(318\) | 29.0222 | + | 10.0229i | 1.62748 | + | 0.562054i | ||||
\(319\) | −22.0826 | − | 12.7494i | −1.23639 | − | 0.713828i | ||||
\(320\) | −7.96065 | + | 0.792525i | −0.445014 | + | 0.0443035i | ||||
\(321\) | 40.0023i | 2.23271i | ||||||||
\(322\) | 0.579427 | + | 0.359440i | 0.0322902 | + | 0.0200308i | ||||
\(323\) | 8.25981 | 0.459588 | ||||||||
\(324\) | −17.5175 | − | 13.7379i | −0.973196 | − | 0.763217i | ||||
\(325\) | 2.41666 | − | 4.18577i | 0.134052 | − | 0.232185i | ||||
\(326\) | 5.11351 | + | 1.76596i | 0.283211 | + | 0.0978074i | ||||
\(327\) | −4.32749 | − | 7.49543i | −0.239311 | − | 0.414498i | ||||
\(328\) | −8.18208 | + | 5.28162i | −0.451780 | + | 0.291629i | ||||
\(329\) | −4.78499 | + | 1.48483i | −0.263805 | + | 0.0818612i | ||||
\(330\) | −17.7558 | + | 3.43452i | −0.977427 | + | 0.189064i | ||||
\(331\) | −11.9027 | − | 20.6161i | −0.654233 | − | 1.13317i | −0.982085 | − | 0.188436i | \(-0.939658\pi\) |
0.327852 | − | 0.944729i | \(-0.393675\pi\) | |||||||
\(332\) | −33.6005 | − | 4.78498i | −1.84407 | − | 0.262610i | ||||
\(333\) | −6.81051 | − | 3.93205i | −0.373214 | − | 0.215475i | ||||
\(334\) | 23.1291 | − | 20.0687i | 1.26557 | − | 1.09811i | ||||
\(335\) | 12.0991 | 0.661044 | ||||||||
\(336\) | −19.9612 | + | 12.0080i | −1.08897 | + | 0.655092i | ||||
\(337\) | 1.22715 | 0.0668470 | 0.0334235 | − | 0.999441i | \(-0.489359\pi\) | ||||
0.0334235 | + | 0.999441i | \(0.489359\pi\) | |||||||
\(338\) | 11.0672 | − | 9.60284i | 0.601979 | − | 0.522326i | ||||
\(339\) | 13.6609 | + | 7.88712i | 0.741958 | + | 0.428370i | ||||
\(340\) | 8.64774 | + | 1.23151i | 0.468990 | + | 0.0667878i | ||||
\(341\) | 11.8508 | + | 20.5262i | 0.641758 | + | 1.11156i | ||||
\(342\) | 4.84478 | − | 0.937129i | 0.261976 | − | 0.0506741i | ||||
\(343\) | −11.4737 | + | 14.5380i | −0.619521 | + | 0.784980i | ||||
\(344\) | 3.23352 | + | 5.00924i | 0.174340 | + | 0.270080i | ||||
\(345\) | −0.200562 | − | 0.347383i | −0.0107979 | − | 0.0187025i | ||||
\(346\) | −13.9064 | − | 4.80260i | −0.747613 | − | 0.258189i | ||||
\(347\) | −15.4834 | + | 26.8181i | −0.831194 | + | 1.43967i | 0.0658983 | + | 0.997826i | \(0.479009\pi\) |
−0.897092 | + | 0.441844i | \(0.854325\pi\) | |||||||
\(348\) | 15.2037 | + | 11.9233i | 0.815006 | + | 0.639158i | ||||
\(349\) | 26.6776 | 1.42802 | 0.714010 | − | 0.700136i | \(-0.246877\pi\) | ||||
0.714010 | + | 0.700136i | \(0.246877\pi\) | |||||||
\(350\) | 3.73978 | + | 0.118366i | 0.199900 | + | 0.00632693i | ||||
\(351\) | 12.2877i | 0.655871i | ||||||||
\(352\) | 3.01415 | − | 32.7262i | 0.160654 | − | 1.74431i | ||||
\(353\) | −12.1501 | − | 7.01487i | −0.646685 | − | 0.373364i | 0.140500 | − | 0.990081i | \(-0.455129\pi\) |
−0.787185 | + | 0.616717i | \(0.788462\pi\) | |||||||
\(354\) | −21.5929 | − | 7.45715i | −1.14765 | − | 0.396343i | ||||
\(355\) | 7.62681 | − | 4.40334i | 0.404789 | − | 0.233705i | ||||
\(356\) | 4.40667 | + | 10.9646i | 0.233553 | + | 0.581124i | ||||
\(357\) | 24.2921 | − | 7.53807i | 1.28568 | − | 0.398957i | ||||
\(358\) | −2.04392 | − | 10.5667i | −0.108025 | − | 0.558467i | ||||
\(359\) | −10.5164 | + | 6.07165i | −0.555035 | + | 0.320450i | −0.751150 | − | 0.660131i | \(-0.770501\pi\) |
0.196115 | + | 0.980581i | \(0.437167\pi\) | |||||||
\(360\) | 5.21205 | − | 0.258804i | 0.274699 | − | 0.0136402i | ||||
\(361\) | −7.71168 | + | 13.3570i | −0.405878 | + | 0.703001i | ||||
\(362\) | 11.9875 | − | 10.4013i | 0.630049 | − | 0.546682i | ||||
\(363\) | − | 50.0822i | − | 2.62864i | ||||||
\(364\) | 23.8983 | + | 9.10927i | 1.25261 | + | 0.477456i | ||||
\(365\) | 8.48703i | 0.444231i | ||||||||
\(366\) | 19.9733 | + | 23.0192i | 1.04402 | + | 1.20323i | ||||
\(367\) | −5.75583 | + | 9.96939i | −0.300452 | + | 0.520398i | −0.976238 | − | 0.216700i | \(-0.930471\pi\) |
0.675787 | + | 0.737097i | \(0.263804\pi\) | |||||||
\(368\) | 0.707927 | − | 0.173756i | 0.0369032 | − | 0.00905764i | ||||
\(369\) | 5.50153 | − | 3.17631i | 0.286398 | − | 0.165352i | ||||
\(370\) | −5.91820 | + | 1.14476i | −0.307673 | + | 0.0595133i | ||||
\(371\) | 17.7179 | − | 19.1601i | 0.919866 | − | 0.994744i | ||||
\(372\) | −6.69735 | − | 16.6643i | −0.347241 | − | 0.864003i | ||||
\(373\) | −20.3241 | + | 11.7341i | −1.05234 | + | 0.607570i | −0.923304 | − | 0.384070i | \(-0.874522\pi\) |
−0.129037 | + | 0.991640i | \(0.541189\pi\) | |||||||
\(374\) | −11.7138 | + | 33.9184i | −0.605705 | + | 1.75388i | ||||
\(375\) | −1.90624 | − | 1.10057i | −0.0984379 | − | 0.0568331i | ||||
\(376\) | −2.44467 | + | 4.76553i | −0.126074 | + | 0.245764i | ||||
\(377\) | − | 21.2133i | − | 1.09254i | ||||||
\(378\) | −8.38433 | + | 4.49322i | −0.431243 | + | 0.231106i | ||||
\(379\) | −15.5653 | −0.799536 | −0.399768 | − | 0.916616i | \(-0.630909\pi\) | ||||
−0.399768 | + | 0.916616i | \(0.630909\pi\) | |||||||
\(380\) | 2.33413 | − | 2.97630i | 0.119738 | − | 0.152681i | ||||
\(381\) | 3.17191 | − | 5.49391i | 0.162502 | − | 0.281462i | ||||
\(382\) | −3.56391 | + | 10.3196i | −0.182345 | + | 0.527999i | ||||
\(383\) | 7.45943 | + | 12.9201i | 0.381159 | + | 0.660187i | 0.991228 | − | 0.132161i | \(-0.0421917\pi\) |
−0.610069 | + | 0.792348i | \(0.708858\pi\) | |||||||
\(384\) | −5.75730 | + | 24.2284i | −0.293801 | + | 1.23640i | ||||
\(385\) | −3.39508 | + | 14.9915i | −0.173029 | + | 0.764035i | ||||
\(386\) | 6.28524 | + | 32.4935i | 0.319910 | + | 1.65387i | ||||
\(387\) | −1.94460 | − | 3.36815i | −0.0988498 | − | 0.171213i | ||||
\(388\) | 26.2132 | + | 3.73297i | 1.33077 | + | 0.189513i | ||||
\(389\) | 10.9524 | + | 6.32338i | 0.555310 | + | 0.320608i | 0.751261 | − | 0.660006i | \(-0.229446\pi\) |
−0.195951 | + | 0.980614i | \(0.562779\pi\) | |||||||
\(390\) | −9.86036 | − | 11.3640i | −0.499299 | − | 0.575440i | ||||
\(391\) | −0.795909 | −0.0402508 | ||||||||
\(392\) | 2.52325 | + | 19.6375i | 0.127444 | + | 0.991846i | ||||
\(393\) | 17.6125 | 0.888431 | ||||||||
\(394\) | 18.9326 | + | 21.8197i | 0.953808 | + | 1.09926i | ||||
\(395\) | −10.5541 | − | 6.09342i | −0.531035 | − | 0.306593i | ||||
\(396\) | −3.02244 | + | 21.2238i | −0.151883 | + | 1.06654i | ||||
\(397\) | −7.61650 | − | 13.1922i | −0.382261 | − | 0.662095i | 0.609124 | − | 0.793075i | \(-0.291521\pi\) |
−0.991385 | + | 0.130979i | \(0.958188\pi\) | |||||||
\(398\) | 0.591351 | + | 3.05717i | 0.0296417 | + | 0.153242i | ||||
\(399\) | 2.43265 | − | 10.7417i | 0.121785 | − | 0.537758i | ||||
\(400\) | 2.88751 | − | 2.76808i | 0.144376 | − | 0.138404i | ||||
\(401\) | −7.73594 | − | 13.3990i | −0.386315 | − | 0.669117i | 0.605636 | − | 0.795742i | \(-0.292919\pi\) |
−0.991951 | + | 0.126625i | \(0.959585\pi\) | |||||||
\(402\) | 12.2945 | − | 35.5998i | 0.613192 | − | 1.77556i | ||||
\(403\) | −9.85913 | + | 17.0765i | −0.491118 | + | 0.850641i | ||||
\(404\) | −3.88536 | − | 3.04705i | −0.193304 | − | 0.151596i | ||||
\(405\) | 11.1310 | 0.553102 | ||||||||
\(406\) | 14.4745 | − | 7.75701i | 0.718360 | − | 0.384974i | ||||
\(407\) | − | 24.7632i | − | 1.22747i | ||||||
\(408\) | 12.4109 | − | 24.1933i | 0.614432 | − | 1.19775i | ||||
\(409\) | −7.47055 | − | 4.31313i | −0.369395 | − | 0.213270i | 0.303799 | − | 0.952736i | \(-0.401745\pi\) |
−0.673194 | + | 0.739466i | \(0.735078\pi\) | |||||||
\(410\) | 1.58952 | − | 4.60260i | 0.0785006 | − | 0.227306i | ||||
\(411\) | 19.4408 | − | 11.2241i | 0.958944 | − | 0.553646i | ||||
\(412\) | −3.41584 | + | 1.37282i | −0.168286 | + | 0.0676340i | ||||
\(413\) | −13.1823 | + | 14.2554i | −0.648661 | + | 0.701462i | ||||
\(414\) | −0.466839 | + | 0.0903011i | −0.0229439 | + | 0.00443806i | ||||
\(415\) | 14.6962 | − | 8.48487i | 0.721409 | − | 0.416506i | ||||
\(416\) | 24.8323 | − | 11.4414i | 1.21750 | − | 0.560963i | ||||
\(417\) | 10.9371 | − | 18.9436i | 0.535592 | − | 0.927673i | ||||
\(418\) | 10.1834 | + | 11.7364i | 0.498087 | + | 0.574044i | ||||
\(419\) | 10.6898i | 0.522230i | 0.965308 | + | 0.261115i | \(0.0840902\pi\) | ||||
−0.965308 | + | 0.261115i | \(0.915910\pi\) | |||||||
\(420\) | 4.14845 | − | 10.8835i | 0.202424 | − | 0.531060i | ||||
\(421\) | − | 20.4941i | − | 0.998823i | −0.866365 | − | 0.499412i | \(-0.833550\pi\) | ||
0.866365 | − | 0.499412i | \(-0.166450\pi\) | |||||||
\(422\) | −30.9088 | + | 26.8190i | −1.50462 | + | 1.30553i | ||||
\(423\) | 1.74688 | − | 3.02569i | 0.0849363 | − | 0.147114i | ||||
\(424\) | −1.38359 | − | 27.8641i | −0.0671931 | − | 1.35320i | ||||
\(425\) | −3.78236 | + | 2.18375i | −0.183471 | + | 0.105927i | ||||
\(426\) | −5.20623 | − | 26.9152i | −0.252243 | − | 1.30405i | ||||
\(427\) | 24.7393 | − | 7.67685i | 1.19722 | − | 0.371509i | ||||
\(428\) | 33.7252 | − | 13.5541i | 1.63017 | − | 0.655162i | ||||
\(429\) | 53.5277 | − | 30.9042i | 2.58434 | − | 1.49207i | ||||
\(430\) | −2.81781 | − | 0.973134i | −0.135887 | − | 0.0469287i | ||||
\(431\) | −20.9544 | − | 12.0980i | −1.00934 | − | 0.582740i | −0.0983389 | − | 0.995153i | \(-0.531353\pi\) |
−0.910997 | + | 0.412412i | \(0.864686\pi\) | |||||||
\(432\) | −2.83878 | + | 9.76493i | −0.136581 | + | 0.469815i | ||||
\(433\) | − | 20.2949i | − | 0.975311i | −0.873036 | − | 0.487655i | \(-0.837852\pi\) | ||
0.873036 | − | 0.487655i | \(-0.162148\pi\) | |||||||
\(434\) | −15.2570 | − | 0.482892i | −0.732361 | − | 0.0231796i | ||||
\(435\) | −9.66074 | −0.463197 | ||||||||
\(436\) | −4.85295 | + | 6.18811i | −0.232414 | + | 0.296357i | ||||
\(437\) | −0.172321 | + | 0.298469i | −0.00824324 | + | 0.0142777i | ||||
\(438\) | 24.9719 | + | 8.62407i | 1.19320 | + | 0.412074i | ||||
\(439\) | 2.52231 | + | 4.36878i | 0.120384 | + | 0.208510i | 0.919919 | − | 0.392109i | \(-0.128254\pi\) |
−0.799535 | + | 0.600619i | \(0.794921\pi\) | |||||||
\(440\) | 8.91184 | + | 13.8059i | 0.424855 | + | 0.658169i | ||||
\(441\) | −1.00863 | − | 12.8756i | −0.0480300 | − | 0.613124i | ||||
\(442\) | −29.3100 | + | 5.66946i | −1.39414 | + | 0.269669i | ||||
\(443\) | −4.04696 | − | 7.00955i | −0.192277 | − | 0.333034i | 0.753727 | − | 0.657187i | \(-0.228254\pi\) |
−0.946005 | + | 0.324153i | \(0.894921\pi\) | |||||||
\(444\) | −2.64547 | + | 18.5767i | −0.125548 | + | 0.881611i | ||||
\(445\) | −5.11692 | − | 2.95425i | −0.242565 | − | 0.140045i | ||||
\(446\) | 11.8070 | − | 10.2448i | 0.559080 | − | 0.485103i | ||||
\(447\) | −34.7085 | −1.64166 | ||||||||
\(448\) | 16.8872 | + | 12.7601i | 0.797847 | + | 0.602860i | ||||
\(449\) | −4.05786 | −0.191502 | −0.0957511 | − | 0.995405i | \(-0.530525\pi\) | ||||
−0.0957511 | + | 0.995405i | \(0.530525\pi\) | |||||||
\(450\) | −1.97078 | + | 1.71001i | −0.0929034 | + | 0.0806106i | ||||
\(451\) | 17.3237 | + | 10.0019i | 0.815742 | + | 0.470969i | ||||
\(452\) | 2.02072 | − | 14.1897i | 0.0950466 | − | 0.667425i | ||||
\(453\) | 6.66111 | + | 11.5374i | 0.312966 | + | 0.542074i | ||||
\(454\) | 11.4140 | − | 2.20781i | 0.535684 | − | 0.103618i | ||||
\(455\) | −12.2132 | + | 3.78988i | −0.572566 | + | 0.177673i | ||||
\(456\) | −6.38553 | − | 9.89221i | −0.299030 | − | 0.463245i | ||||
\(457\) | −2.70734 | − | 4.68925i | −0.126644 | − | 0.219354i | 0.795730 | − | 0.605651i | \(-0.207087\pi\) |
−0.922374 | + | 0.386297i | \(0.873754\pi\) | |||||||
\(458\) | −13.4670 | − | 4.65086i | −0.629273 | − | 0.217320i | ||||
\(459\) | 5.55174 | − | 9.61589i | 0.259133 | − | 0.448831i | ||||
\(460\) | −0.224915 | + | 0.286794i | −0.0104867 | + | 0.0133719i | ||||
\(461\) | −18.9095 | −0.880702 | −0.440351 | − | 0.897826i | \(-0.645146\pi\) | ||||
−0.440351 | + | 0.897826i | \(0.645146\pi\) | |||||||
\(462\) | 40.6603 | + | 25.2231i | 1.89169 | + | 1.17348i | ||||
\(463\) | 0.304782i | 0.0141644i | 0.999975 | + | 0.00708220i | \(0.00225435\pi\) | ||||
−0.999975 | + | 0.00708220i | \(0.997746\pi\) | |||||||
\(464\) | 4.90081 | − | 16.8580i | 0.227515 | − | 0.782613i | ||||
\(465\) | 7.77680 | + | 4.48994i | 0.360641 | + | 0.208216i | ||||
\(466\) | 9.85331 | + | 3.40286i | 0.456446 | + | 0.157634i | ||||
\(467\) | −3.35368 | + | 1.93625i | −0.155190 | + | 0.0895989i | −0.575584 | − | 0.817743i | \(-0.695225\pi\) |
0.420394 | + | 0.907342i | \(0.361892\pi\) | |||||||
\(468\) | −16.5485 | + | 6.65083i | −0.764956 | + | 0.307435i | ||||
\(469\) | −23.5026 | − | 21.7335i | −1.08525 | − | 1.00356i | ||||
\(470\) | −0.508580 | − | 2.62926i | −0.0234590 | − | 0.121279i | ||||
\(471\) | 38.9156 | − | 22.4680i | 1.79314 | − | 1.03527i | ||||
\(472\) | 1.02941 | + | 20.7313i | 0.0473825 | + | 0.954235i | ||||
\(473\) | 6.12334 | − | 10.6059i | 0.281552 | − | 0.487662i | ||||
\(474\) | −28.6535 | + | 24.8621i | −1.31610 | + | 1.14196i | ||||
\(475\) | 1.89120i | 0.0867742i | ||||||||
\(476\) | −14.5862 | − | 17.9261i | −0.668556 | − | 0.821640i | ||||
\(477\) | 18.1984i | 0.833247i | ||||||||
\(478\) | 19.4203 | + | 22.3818i | 0.888263 | + | 1.02372i | ||||
\(479\) | 16.4744 | − | 28.5344i | 0.752732 | − | 1.30377i | −0.193761 | − | 0.981049i | \(-0.562069\pi\) |
0.946494 | − | 0.322722i | \(-0.104598\pi\) | |||||||
\(480\) | −5.21054 | − | 11.3089i | −0.237828 | − | 0.516177i | ||||
\(481\) | 17.8413 | − | 10.3007i | 0.813494 | − | 0.469671i | ||||
\(482\) | −3.88204 | + | 0.750906i | −0.176822 | + | 0.0342028i | ||||
\(483\) | −0.234408 | + | 1.03506i | −0.0106659 | + | 0.0470970i | ||||
\(484\) | −42.2234 | + | 16.9695i | −1.91924 | + | 0.771341i | ||||
\(485\) | −11.4652 | + | 6.61941i | −0.520606 | + | 0.300572i | ||||
\(486\) | 7.78978 | − | 22.5561i | 0.353351 | − | 1.02316i | ||||
\(487\) | 35.8923 | + | 20.7224i | 1.62643 | + | 0.939022i | 0.985145 | + | 0.171722i | \(0.0549332\pi\) |
0.641289 | + | 0.767300i | \(0.278400\pi\) | |||||||
\(488\) | 12.6394 | − | 24.6387i | 0.572159 | − | 1.11534i | ||||
\(489\) | 8.42012i | 0.380771i | ||||||||
\(490\) | −7.05195 | − | 6.94767i | −0.318574 | − | 0.313864i | ||||
\(491\) | −25.4339 | −1.14782 | −0.573908 | − | 0.818920i | \(-0.694573\pi\) | ||||
−0.573908 | + | 0.818920i | \(0.694573\pi\) | |||||||
\(492\) | −11.9273 | − | 9.35384i | −0.537724 | − | 0.421704i | ||||
\(493\) | −9.58441 | + | 16.6007i | −0.431660 | + | 0.747658i | ||||
\(494\) | −4.21980 | + | 12.2189i | −0.189858 | + | 0.549753i | ||||
\(495\) | −5.35949 | − | 9.28291i | −0.240891 | − | 0.417236i | ||||
\(496\) | −11.7800 | + | 11.2928i | −0.528940 | + | 0.507062i | ||||
\(497\) | −22.7248 | − | 5.14644i | −1.01935 | − | 0.230849i | ||||
\(498\) | −10.0320 | − | 51.8634i | −0.449543 | − | 2.32405i | ||||
\(499\) | 3.25059 | + | 5.63019i | 0.145516 | + | 0.252042i | 0.929565 | − | 0.368657i | \(-0.120182\pi\) |
−0.784049 | + | 0.620699i | \(0.786849\pi\) | |||||||
\(500\) | −0.281971 | + | 1.98002i | −0.0126101 | + | 0.0885493i | ||||
\(501\) | 41.2759 | + | 23.8307i | 1.84407 | + | 1.06468i | ||||
\(502\) | 17.3926 | + | 20.0449i | 0.776268 | + | 0.894647i | ||||
\(503\) | −23.4094 | −1.04378 | −0.521888 | − | 0.853014i | \(-0.674772\pi\) | ||||
−0.521888 | + | 0.853014i | \(0.674772\pi\) | |||||||
\(504\) | −10.5893 | − | 8.85962i | −0.471686 | − | 0.394639i | ||||
\(505\) | 2.46883 | 0.109862 | ||||||||
\(506\) | −0.981266 | − | 1.13091i | −0.0436226 | − | 0.0502749i | ||||
\(507\) | 19.7505 | + | 11.4029i | 0.877149 | + | 0.506422i | ||||
\(508\) | −5.70656 | − | 0.812659i | −0.253187 | − | 0.0360559i | ||||
\(509\) | 8.44031 | + | 14.6190i | 0.374110 | + | 0.647978i | 0.990193 | − | 0.139703i | \(-0.0446148\pi\) |
−0.616083 | + | 0.787681i | \(0.711281\pi\) | |||||||
\(510\) | 2.58192 | + | 13.3481i | 0.114330 | + | 0.591062i | ||||
\(511\) | 15.2452 | − | 16.4861i | 0.674406 | − | 0.729303i | ||||
\(512\) | 22.3772 | − | 3.35550i | 0.988943 | − | 0.148294i | ||||
\(513\) | −2.40400 | − | 4.16385i | −0.106139 | − | 0.183838i | ||||
\(514\) | −3.60652 | + | 10.4430i | −0.159077 | + | 0.460622i | ||||
\(515\) | 0.920346 | − | 1.59409i | 0.0405553 | − | 0.0702438i | ||||
\(516\) | −5.72661 | + | 7.30214i | −0.252100 | + | 0.321459i | ||||
\(517\) | 11.0015 | 0.483844 | ||||||||
\(518\) | 13.5525 | + | 8.40710i | 0.595462 | + | 0.369387i | ||||
\(519\) | − | 22.8989i | − | 1.00515i | ||||||
\(520\) | −6.23978 | + | 12.1636i | −0.273633 | + | 0.533408i | ||||
\(521\) | 21.2245 | + | 12.2540i | 0.929864 | + | 0.536857i | 0.886769 | − | 0.462214i | \(-0.152945\pi\) |
0.0430955 | + | 0.999071i | \(0.486278\pi\) | |||||||
\(522\) | −3.73827 | + | 10.8245i | −0.163620 | + | 0.473777i | ||||
\(523\) | −25.2087 | + | 14.5543i | −1.10230 | + | 0.636414i | −0.936824 | − | 0.349800i | \(-0.886249\pi\) |
−0.165476 | + | 0.986214i | \(0.552916\pi\) | |||||||
\(524\) | −5.96768 | − | 14.8487i | −0.260699 | − | 0.648669i | ||||
\(525\) | 1.72595 | + | 5.56203i | 0.0753266 | + | 0.242747i | ||||
\(526\) | −8.08027 | + | 1.56297i | −0.352316 | + | 0.0681488i | ||||
\(527\) | 15.4307 | − | 8.90893i | 0.672173 | − | 0.388079i | ||||
\(528\) | 49.6775 | − | 12.1930i | 2.16194 | − | 0.530632i | ||||
\(529\) | −11.4834 | + | 19.8898i | −0.499278 | + | 0.864775i | ||||
\(530\) | 9.14188 | + | 10.5360i | 0.397098 | + | 0.457654i | ||||
\(531\) | − | 13.5399i | − | 0.587580i | ||||||
\(532\) | −9.88038 | + | 1.58872i | −0.428369 | + | 0.0688799i | ||||
\(533\) | 16.6418i | 0.720837i | ||||||||
\(534\) | −13.8920 | + | 12.0538i | −0.601166 | + | 0.521620i | ||||
\(535\) | −9.08674 | + | 15.7387i | −0.392854 | + | 0.680443i | ||||
\(536\) | −34.1793 | + | 1.69717i | −1.47632 | + | 0.0733065i | ||||
\(537\) | 14.5070 | − | 8.37563i | 0.626024 | − | 0.361435i | ||||
\(538\) | 6.49680 | + | 33.5872i | 0.280097 | + | 1.44805i | ||||
\(539\) | 33.5240 | − | 23.0225i | 1.44398 | − | 0.991649i | ||||
\(540\) | −1.89609 | − | 4.71784i | −0.0815948 | − | 0.203023i | ||||
\(541\) | −3.98939 | + | 2.30327i | −0.171517 | + | 0.0990254i | −0.583301 | − | 0.812256i | \(-0.698239\pi\) |
0.411784 | + | 0.911282i | \(0.364906\pi\) | |||||||
\(542\) | −20.9532 | − | 7.23623i | −0.900018 | − | 0.310823i | ||||
\(543\) | 21.3927 | + | 12.3511i | 0.918050 | + | 0.530036i | ||||
\(544\) | −24.6021 | − | 2.26590i | −1.05481 | − | 0.0971497i | ||||
\(545\) | − | 3.93204i | − | 0.168430i | ||||||
\(546\) | −1.25927 | + | 39.7868i | −0.0538919 | + | 1.70272i | ||||
\(547\) | 4.27444 | 0.182762 | 0.0913808 | − | 0.995816i | \(-0.470872\pi\) | ||||
0.0913808 | + | 0.995816i | \(0.470872\pi\) | |||||||
\(548\) | −16.0500 | − | 12.5870i | −0.685624 | − | 0.537692i | ||||
\(549\) | −9.03171 | + | 15.6434i | −0.385464 | + | 0.667644i | ||||
\(550\) | −7.76611 | − | 2.68204i | −0.331148 | − | 0.114363i | ||||
\(551\) | 4.15022 | + | 7.18839i | 0.176805 | + | 0.306236i | ||||
\(552\) | 0.615305 | + | 0.953206i | 0.0261891 | + | 0.0405711i | ||||
\(553\) | 9.55590 | + | 30.7948i | 0.406358 | + | 1.30953i | ||||
\(554\) | −20.3590 | + | 3.93806i | −0.864971 | + | 0.167312i | ||||
\(555\) | −4.69103 | − | 8.12511i | −0.199123 | − | 0.344892i | ||||
\(556\) | −19.6768 | − | 2.80214i | −0.834484 | − | 0.118837i | ||||
\(557\) | −16.1482 | − | 9.32317i | −0.684221 | − | 0.395035i | 0.117222 | − | 0.993106i | \(-0.462601\pi\) |
−0.801443 | + | 0.598070i | \(0.795934\pi\) | |||||||
\(558\) | 8.04010 | − | 6.97624i | 0.340364 | − | 0.295328i | ||||
\(559\) | 10.1885 | 0.430926 | ||||||||
\(560\) | −10.5813 | + | 0.190211i | −0.447141 | + | 0.00803789i | ||||
\(561\) | −55.8515 | −2.35805 | ||||||||
\(562\) | 16.0672 | − | 13.9412i | 0.677755 | − | 0.588075i | ||||
\(563\) | −19.1853 | − | 11.0766i | −0.808565 | − | 0.466825i | 0.0378926 | − | 0.999282i | \(-0.487936\pi\) |
−0.846457 | + | 0.532457i | \(0.821269\pi\) | |||||||
\(564\) | −8.25302 | − | 1.17530i | −0.347515 | − | 0.0494889i | ||||
\(565\) | 3.58320 | + | 6.20629i | 0.150746 | + | 0.261101i | ||||
\(566\) | 6.88461 | − | 1.33169i | 0.289382 | − | 0.0559753i | ||||
\(567\) | −21.6220 | − | 19.9945i | −0.908039 | − | 0.839688i | ||||
\(568\) | −20.9277 | + | 13.5090i | −0.878106 | + | 0.566827i | ||||
\(569\) | −0.619323 | − | 1.07270i | −0.0259634 | − | 0.0449699i | 0.852752 | − | 0.522316i | \(-0.174932\pi\) |
−0.878715 | + | 0.477346i | \(0.841599\pi\) | |||||||
\(570\) | 5.56458 | + | 1.92174i | 0.233075 | + | 0.0804928i | ||||
\(571\) | 10.3953 | − | 18.0051i | 0.435028 | − | 0.753490i | −0.562270 | − | 0.826954i | \(-0.690072\pi\) |
0.997298 | + | 0.0734633i | \(0.0234052\pi\) | |||||||
\(572\) | −44.1917 | − | 34.6568i | −1.84775 | − | 1.44907i | ||||
\(573\) | −16.9928 | −0.709883 | ||||||||
\(574\) | −11.3553 | + | 6.08536i | −0.473959 | + | 0.253998i | ||||
\(575\) | − | 0.182235i | − | 0.00759971i | ||||||
\(576\) | −14.6874 | + | 1.46221i | −0.611977 | + | 0.0609255i | ||||
\(577\) | −29.9908 | − | 17.3152i | −1.24853 | − | 0.720842i | −0.277717 | − | 0.960663i | \(-0.589578\pi\) |
−0.970817 | + | 0.239821i | \(0.922911\pi\) | |||||||
\(578\) | 2.77374 | + | 0.957917i | 0.115372 | + | 0.0398441i | ||||
\(579\) | −44.6103 | + | 25.7558i | −1.85394 | + | 1.07037i | ||||
\(580\) | 3.27338 | + | 8.14478i | 0.135920 | + | 0.338194i | ||||
\(581\) | −43.7888 | − | 9.91675i | −1.81667 | − | 0.411416i | ||||
\(582\) | 7.82637 | + | 40.4609i | 0.324414 | + | 1.67716i | ||||
\(583\) | −49.6274 | + | 28.6524i | −2.05536 | + | 1.18666i | ||||
\(584\) | −1.19050 | − | 23.9754i | −0.0492631 | − | 0.992109i | ||||
\(585\) | 4.45875 | − | 7.72278i | 0.184347 | − | 0.319298i | ||||
\(586\) | −2.74319 | + | 2.38021i | −0.113320 | + | 0.0983256i | ||||
\(587\) | − | 22.4911i | − | 0.928306i | −0.885755 | − | 0.464153i | \(-0.846359\pi\) | ||
0.885755 | − | 0.464153i | \(-0.153641\pi\) | |||||||
\(588\) | −27.6083 | + | 13.6895i | −1.13855 | + | 0.564545i | ||||
\(589\) | − | 7.71544i | − | 0.317909i | ||||||
\(590\) | −6.80168 | − | 7.83892i | −0.280021 | − | 0.322723i | ||||
\(591\) | −22.4815 | + | 38.9392i | −0.924767 | + | 1.60174i | ||||
\(592\) | 16.5580 | − | 4.06405i | 0.680531 | − | 0.167032i | ||||
\(593\) | −3.70525 | + | 2.13923i | −0.152156 | + | 0.0878474i | −0.574145 | − | 0.818754i | \(-0.694665\pi\) |
0.421989 | + | 0.906601i | \(0.361332\pi\) | |||||||
\(594\) | 20.5079 | − | 3.96685i | 0.841448 | − | 0.162762i | ||||
\(595\) | 11.2699 | + | 2.55227i | 0.462021 | + | 0.104633i | ||||
\(596\) | 11.7604 | + | 29.2621i | 0.481724 | + | 1.19862i | ||||
\(597\) | −4.19719 | + | 2.42325i | −0.171780 | + | 0.0991771i | ||||
\(598\) | 0.406617 | − | 1.17740i | 0.0166278 | − | 0.0481475i | ||||
\(599\) | −5.50041 | − | 3.17566i | −0.224741 | − | 0.129754i | 0.383403 | − | 0.923581i | \(-0.374752\pi\) |
−0.608143 | + | 0.793827i | \(0.708085\pi\) | |||||||
\(600\) | 5.53941 | + | 2.84166i | 0.226145 | + | 0.116010i | ||||
\(601\) | 3.72971i | 0.152138i | 0.997103 | + | 0.0760691i | \(0.0242369\pi\) | ||||
−0.997103 | + | 0.0760691i | \(0.975763\pi\) | |||||||
\(602\) | 3.72558 | + | 6.95192i | 0.151843 | + | 0.283339i | ||||
\(603\) | 22.3229 | 0.909059 | ||||||||
\(604\) | 7.46994 | − | 9.52510i | 0.303948 | − | 0.387571i | ||||
\(605\) | 11.3764 | − | 19.7046i | 0.462518 | − | 0.801105i | ||||
\(606\) | 2.50870 | − | 7.26418i | 0.101909 | − | 0.295087i | ||||
\(607\) | 9.66175 | + | 16.7346i | 0.392158 | + | 0.679238i | 0.992734 | − | 0.120330i | \(-0.0383952\pi\) |
−0.600576 | + | 0.799568i | \(0.705062\pi\) | |||||||
\(608\) | −6.17630 | + | 8.73532i | −0.250482 | + | 0.354264i | ||||
\(609\) | 18.7661 | + | 17.3535i | 0.760440 | + | 0.703199i | ||||
\(610\) | 2.62946 | + | 13.5938i | 0.106464 | + | 0.550397i | ||||
\(611\) | 4.57626 | + | 7.92631i | 0.185136 | + | 0.320664i | ||||
\(612\) | 15.9551 | + | 2.27214i | 0.644948 | + | 0.0918458i | ||||
\(613\) | 26.3430 | + | 15.2092i | 1.06399 | + | 0.614292i | 0.926532 | − | 0.376216i | \(-0.122775\pi\) |
0.137453 | + | 0.990508i | \(0.456108\pi\) | |||||||
\(614\) | 13.3858 | + | 15.4271i | 0.540207 | + | 0.622587i | ||||
\(615\) | 7.57883 | 0.305608 | ||||||||
\(616\) | 7.48803 | − | 42.8263i | 0.301701 | − | 1.72552i | ||||
\(617\) | 9.32522 | 0.375419 | 0.187710 | − | 0.982225i | \(-0.439894\pi\) | ||||
0.187710 | + | 0.982225i | \(0.439894\pi\) | |||||||
\(618\) | −3.75516 | − | 4.32781i | −0.151055 | − | 0.174090i | ||||
\(619\) | −9.29185 | − | 5.36465i | −0.373471 | − | 0.215624i | 0.301503 | − | 0.953465i | \(-0.402512\pi\) |
−0.674974 | + | 0.737842i | \(0.735845\pi\) | |||||||
\(620\) | 1.15034 | − | 8.07781i | 0.0461989 | − | 0.324413i | ||||
\(621\) | 0.231647 | + | 0.401225i | 0.00929569 | + | 0.0161006i | ||||
\(622\) | −4.44066 | − | 22.9574i | −0.178054 | − | 0.920508i | ||||
\(623\) | 4.63296 | + | 14.9301i | 0.185616 | + | 0.598163i | ||||
\(624\) | 29.4490 | + | 30.7197i | 1.17891 | + | 1.22977i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 1.17177 | − | 3.39297i | 0.0468333 | − | 0.135610i | ||||
\(627\) | −12.0923 | + | 20.9445i | −0.482921 | + | 0.836444i | ||||
\(628\) | −32.1282 | − | 25.1961i | −1.28205 | − | 1.00543i | ||||
\(629\) | −18.6159 | −0.742264 | ||||||||
\(630\) | 6.89993 | + | 0.218386i | 0.274900 | + | 0.00870071i | ||||
\(631\) | − | 7.84644i | − | 0.312362i | −0.987728 | − | 0.156181i | \(-0.950082\pi\) | ||
0.987728 | − | 0.156181i | \(-0.0499183\pi\) | |||||||
\(632\) | 30.6695 | + | 15.7331i | 1.21997 | + | 0.625830i | ||||
\(633\) | −55.1595 | − | 31.8464i | −2.19239 | − | 1.26578i | ||||
\(634\) | 7.91235 | − | 22.9110i | 0.314240 | − | 0.909912i | ||||
\(635\) | 2.49594 | − | 1.44103i | 0.0990484 | − | 0.0571856i | ||||
\(636\) | 40.2901 | − | 16.1925i | 1.59761 | − | 0.642076i | ||||
\(637\) | 30.5321 | + | 14.5767i | 1.20972 | + | 0.577548i | ||||
\(638\) | −35.4044 | + | 6.84830i | −1.40167 | + | 0.271127i | ||||
\(639\) | 14.0715 | − | 8.12420i | 0.556661 | − | 0.321388i | ||||
\(640\) | −7.76878 | + | 8.22472i | −0.307088 | + | 0.325111i | ||||
\(641\) | 6.79977 | − | 11.7775i | 0.268575 | − | 0.465185i | −0.699919 | − | 0.714222i | \(-0.746781\pi\) |
0.968494 | + | 0.249037i | \(0.0801141\pi\) | |||||||
\(642\) | 37.0754 | + | 42.7292i | 1.46325 | + | 1.68639i | ||||
\(643\) | − | 5.68857i | − | 0.224335i | −0.993689 | − | 0.112168i | \(-0.964221\pi\) | ||
0.993689 | − | 0.112168i | \(-0.0357794\pi\) | |||||||
\(644\) | 0.952066 | − | 0.153088i | 0.0375166 | − | 0.00603252i | ||||
\(645\) | − | 4.63992i | − | 0.182697i | ||||||
\(646\) | 8.82287 | − | 7.65544i | 0.347131 | − | 0.301199i | ||||
\(647\) | 0.225415 | − | 0.390431i | 0.00886200 | − | 0.0153494i | −0.861560 | − | 0.507655i | \(-0.830512\pi\) |
0.870422 | + | 0.492306i | \(0.163846\pi\) | |||||||
\(648\) | −31.4444 | + | 1.56137i | −1.23525 | + | 0.0613364i | ||||
\(649\) | 36.9234 | − | 21.3178i | 1.44937 | − | 0.836795i | ||||
\(650\) | −1.29810 | − | 6.71095i | −0.0509158 | − | 0.263225i | ||||
\(651\) | −7.04127 | − | 22.6911i | −0.275969 | − | 0.889336i | ||||
\(652\) | 7.09884 | − | 2.85301i | 0.278012 | − | 0.111733i | ||||
\(653\) | 3.69894 | − | 2.13559i | 0.144751 | − | 0.0835720i | −0.425875 | − | 0.904782i | \(-0.640034\pi\) |
0.570626 | + | 0.821210i | \(0.306700\pi\) | |||||||
\(654\) | −11.5695 | − | 3.99554i | −0.452402 | − | 0.156238i | ||||
\(655\) | 6.92953 | + | 4.00076i | 0.270759 | + | 0.156323i | ||||
\(656\) | −3.84468 | + | 13.2251i | −0.150109 | + | 0.516352i | ||||
\(657\) | 15.6586i | 0.610901i | ||||||||
\(658\) | −3.73500 | + | 6.02092i | −0.145605 | + | 0.234720i | ||||
\(659\) | 15.5436 | 0.605493 | 0.302746 | − | 0.953071i | \(-0.402097\pi\) | ||||
0.302746 | + | 0.953071i | \(0.402097\pi\) | |||||||
\(660\) | −15.7830 | + | 20.1253i | −0.614353 | + | 0.783377i | ||||
\(661\) | 14.4897 | − | 25.0969i | 0.563583 | − | 0.976155i | −0.433597 | − | 0.901107i | \(-0.642756\pi\) |
0.997180 | − | 0.0750479i | \(-0.0239110\pi\) | |||||||
\(662\) | −31.8218 | − | 10.9897i | −1.23679 | − | 0.427127i | ||||
\(663\) | −23.2324 | − | 40.2398i | −0.902273 | − | 1.56278i | ||||
\(664\) | −40.3259 | + | 26.0308i | −1.56495 | + | 1.01019i | ||||
\(665\) | 3.39715 | − | 3.67367i | 0.131736 | − | 0.142459i | ||||
\(666\) | −10.9191 | + | 2.11209i | −0.423107 | + | 0.0818420i | ||||
\(667\) | −0.399912 | − | 0.692668i | −0.0154846 | − | 0.0268202i | ||||
\(668\) | 6.10554 | − | 42.8736i | 0.236230 | − | 1.65883i | ||||
\(669\) | 21.0707 | + | 12.1652i | 0.814641 | + | 0.470333i | ||||
\(670\) | 12.9239 | − | 11.2138i | 0.499293 | − | 0.433227i | ||||
\(671\) | −56.8797 | −2.19582 | ||||||||
\(672\) | −10.1925 | + | 31.3272i | −0.393184 | + | 1.20847i | ||||
\(673\) | 32.3539 | 1.24715 | 0.623576 | − | 0.781763i | \(-0.285679\pi\) | ||||
0.623576 | + | 0.781763i | \(0.285679\pi\) | |||||||
\(674\) | 1.31080 | − | 1.13736i | 0.0504902 | − | 0.0438094i | ||||
\(675\) | 2.20170 | + | 1.27115i | 0.0847433 | + | 0.0489266i | ||||
\(676\) | 2.92149 | − | 20.5149i | 0.112365 | − | 0.789035i | ||||
\(677\) | 22.4527 | + | 38.8892i | 0.862927 | + | 1.49463i | 0.869091 | + | 0.494652i | \(0.164705\pi\) |
−0.00616405 | + | 0.999981i | \(0.501962\pi\) | |||||||
\(678\) | 21.9022 | − | 4.23655i | 0.841148 | − | 0.162704i | ||||
\(679\) | 34.1616 | + | 7.73649i | 1.31100 | + | 0.296899i | ||||
\(680\) | 10.3786 | − | 6.69953i | 0.398003 | − | 0.256915i | ||||
\(681\) | 9.04722 | + | 15.6703i | 0.346690 | + | 0.600485i | ||||
\(682\) | 31.6830 | + | 10.9418i | 1.21321 | + | 0.418983i | ||||
\(683\) | 5.62256 | − | 9.73856i | 0.215141 | − | 0.372636i | −0.738175 | − | 0.674609i | \(-0.764312\pi\) |
0.953316 | + | 0.301974i | \(0.0976454\pi\) | |||||||
\(684\) | 4.30649 | − | 5.49130i | 0.164663 | − | 0.209965i | ||||
\(685\) | 10.1985 | 0.389665 | ||||||||
\(686\) | 1.21844 | + | 26.1632i | 0.0465202 | + | 0.998917i | ||||
\(687\) | − | 22.1754i | − | 0.846043i | ||||||
\(688\) | 8.09666 | + | 2.35379i | 0.308682 | + | 0.0897375i | ||||
\(689\) | −41.2868 | − | 23.8369i | −1.57290 | − | 0.908115i | ||||
\(690\) | −0.536199 | − | 0.185177i | −0.0204128 | − | 0.00704958i | ||||
\(691\) | −8.53812 | + | 4.92949i | −0.324805 | + | 0.187527i | −0.653533 | − | 0.756898i | \(-0.726714\pi\) |
0.328727 | + | 0.944425i | \(0.393380\pi\) | |||||||
\(692\) | −19.3056 | + | 7.75889i | −0.733889 | + | 0.294949i | ||||
\(693\) | −6.26394 | + | 27.6593i | −0.237948 | + | 1.05069i | ||||
\(694\) | 8.31689 | + | 42.9968i | 0.315705 | + | 1.63213i | ||||
\(695\) | 8.60629 | − | 4.96884i | 0.326455 | − | 0.188479i | ||||
\(696\) | 27.2911 | − | 1.35514i | 1.03447 | − | 0.0513663i | ||||
\(697\) | 7.51896 | − | 13.0232i | 0.284801 | − | 0.493289i | ||||
\(698\) | 28.4962 | − | 24.7256i | 1.07860 | − | 0.935879i | ||||
\(699\) | 16.2249i | 0.613681i | ||||||||
\(700\) | 4.10443 | − | 3.33971i | 0.155133 | − | 0.126229i | ||||
\(701\) | 6.00307i | 0.226733i | 0.993553 | + | 0.113366i | \(0.0361634\pi\) | ||||
−0.993553 | + | 0.113366i | \(0.963837\pi\) | |||||||
\(702\) | 11.3886 | + | 13.1254i | 0.429837 | + | 0.495386i | ||||
\(703\) | −4.03050 | + | 6.98103i | −0.152013 | + | 0.263294i | ||||
\(704\) | −27.1121 | − | 37.7508i | −1.02182 | − | 1.42279i | ||||
\(705\) | 3.60972 | − | 2.08407i | 0.135950 | − | 0.0784907i | ||||
\(706\) | −19.4800 | + | 3.76802i | −0.733138 | + | 0.141811i | ||||
\(707\) | −4.79573 | − | 4.43474i | −0.180362 | − | 0.166785i | ||||
\(708\) | −29.9764 | + | 12.0475i | −1.12658 | + | 0.452772i | ||||
\(709\) | 10.2323 | − | 5.90764i | 0.384283 | − | 0.221866i | −0.295397 | − | 0.955375i | \(-0.595452\pi\) |
0.679680 | + | 0.733508i | \(0.262119\pi\) | |||||||
\(710\) | 4.06558 | − | 11.7723i | 0.152578 | − | 0.441806i | ||||
\(711\) | −19.4724 | − | 11.2424i | −0.730272 | − | 0.421623i | ||||
\(712\) | 14.8694 | + | 7.62785i | 0.557255 | + | 0.285866i | ||||
\(713\) | 0.743454i | 0.0278426i | ||||||||
\(714\) | 18.9616 | − | 30.5666i | 0.709619 | − | 1.14393i | ||||
\(715\) | 28.0802 | 1.05014 | ||||||||
\(716\) | −11.9768 | − | 9.39265i | −0.447593 | − | 0.351020i | ||||
\(717\) | −23.0607 | + | 39.9423i | −0.861217 | + | 1.49167i | ||||
\(718\) | −5.60592 | + | 16.2325i | −0.209211 | + | 0.605791i | ||||
\(719\) | −3.06796 | − | 5.31386i | −0.114415 | − | 0.198173i | 0.803130 | − | 0.595803i | \(-0.203166\pi\) |
−0.917546 | + | 0.397630i | \(0.869833\pi\) | |||||||
\(720\) | 5.32748 | − | 5.10713i | 0.198543 | − | 0.190331i | ||||
\(721\) | −4.65122 | + | 1.44332i | −0.173221 | + | 0.0537520i | ||||
\(722\) | 4.14231 | + | 21.4150i | 0.154161 | + | 0.796983i | ||||
\(723\) | −3.07708 | − | 5.32966i | −0.114438 | − | 0.198212i | ||||
\(724\) | 3.16441 | − | 22.2208i | 0.117604 | − | 0.825828i | ||||
\(725\) | −3.80097 | − | 2.19449i | −0.141164 | − | 0.0815013i | ||||
\(726\) | −46.4177 | − | 53.4963i | −1.72272 | − | 1.98543i | ||||
\(727\) | 14.8986 | 0.552558 | 0.276279 | − | 0.961077i | \(-0.410899\pi\) | ||||
0.276279 | + | 0.961077i | \(0.410899\pi\) | |||||||
\(728\) | 33.9702 | − | 12.4194i | 1.25902 | − | 0.460294i | ||||
\(729\) | 3.74887 | 0.138847 | ||||||||
\(730\) | 7.86603 | + | 9.06558i | 0.291135 | + | 0.335532i | ||||
\(731\) | −7.97308 | − | 4.60326i | −0.294895 | − | 0.170258i | ||||
\(732\) | 42.6697 | + | 6.07651i | 1.57712 | + | 0.224594i | ||||
\(733\) | −23.7602 | − | 41.1539i | −0.877604 | − | 1.52006i | −0.853962 | − | 0.520335i | \(-0.825807\pi\) |
−0.0236421 | − | 0.999720i | \(-0.507526\pi\) | |||||||
\(734\) | 3.09173 | + | 15.9837i | 0.114118 | + | 0.589968i | ||||
\(735\) | 6.63835 | − | 13.9046i | 0.244859 | − | 0.512879i | ||||
\(736\) | 0.595144 | − | 0.841728i | 0.0219373 | − | 0.0310265i | ||||
\(737\) | 35.1462 | + | 60.8750i | 1.29463 | + | 2.24236i | ||||
\(738\) | 2.93267 | − | 8.49183i | 0.107953 | − | 0.312589i | ||||
\(739\) | 1.95274 | − | 3.38225i | 0.0718328 | − | 0.124418i | −0.827872 | − | 0.560917i | \(-0.810449\pi\) |
0.899705 | + | 0.436499i | \(0.143782\pi\) | |||||||
\(740\) | −5.26064 | + | 6.70797i | −0.193385 | + | 0.246590i | ||||
\(741\) | −20.1201 | −0.739130 | ||||||||
\(742\) | 1.16751 | − | 36.8877i | 0.0428608 | − | 1.35419i | ||||
\(743\) | − | 48.0392i | − | 1.76239i | −0.472755 | − | 0.881194i | \(-0.656741\pi\) | ||
0.472755 | − | 0.881194i | \(-0.343259\pi\) | |||||||
\(744\) | −22.5989 | − | 11.5930i | −0.828515 | − | 0.425019i | ||||
\(745\) | −13.6559 | − | 7.88422i | −0.500312 | − | 0.288855i | ||||
\(746\) | −10.8340 | + | 31.3710i | −0.396662 | + | 1.14857i | ||||
\(747\) | 27.1146 | − | 15.6546i | 0.992073 | − | 0.572773i | ||||
\(748\) | 18.9243 | + | 47.0873i | 0.691942 | + | 1.72168i | ||||
\(749\) | 45.9223 | − | 14.2501i | 1.67797 | − | 0.520688i | ||||
\(750\) | −3.05623 | + | 0.591168i | −0.111598 | + | 0.0215864i | ||||
\(751\) | 0.139857 | − | 0.0807464i | 0.00510345 | − | 0.00294648i | −0.497446 | − | 0.867495i | \(-0.665729\pi\) |
0.502550 | + | 0.864548i | \(0.332395\pi\) | |||||||
\(752\) | 1.80552 | + | 7.35619i | 0.0658407 | + | 0.268253i | ||||
\(753\) | −20.6529 | + | 35.7718i | −0.752633 | + | 1.30360i | ||||
\(754\) | −19.6611 | − | 22.6594i | −0.716017 | − | 0.825207i | ||||
\(755\) | 6.05243i | 0.220270i | ||||||||
\(756\) | −4.79143 | + | 12.5704i | −0.174263 | + | 0.457180i | ||||
\(757\) | − | 17.0175i | − | 0.618513i | −0.950979 | − | 0.309257i | \(-0.899920\pi\) | ||
0.950979 | − | 0.309257i | \(-0.100080\pi\) | |||||||
\(758\) | −16.6264 | + | 14.4264i | −0.603897 | + | 0.523990i | ||||
\(759\) | 1.16521 | − | 2.01820i | 0.0422944 | − | 0.0732560i | ||||
\(760\) | −0.265283 | − | 5.34254i | −0.00962284 | − | 0.193794i | ||||
\(761\) | 23.5345 | − | 13.5876i | 0.853125 | − | 0.492552i | −0.00857924 | − | 0.999963i | \(-0.502731\pi\) |
0.861704 | + | 0.507411i | \(0.169398\pi\) | |||||||
\(762\) | −1.70379 | − | 8.80825i | −0.0617216 | − | 0.319089i | ||||
\(763\) | −7.06309 | + | 7.63803i | −0.255701 | + | 0.276515i | ||||
\(764\) | 5.75771 | + | 14.3263i | 0.208307 | + | 0.518306i | ||||
\(765\) | −6.97848 | + | 4.02903i | −0.252308 | + | 0.145670i | ||||
\(766\) | 19.9427 | + | 6.88724i | 0.720558 | + | 0.248846i | ||||
\(767\) | 30.7179 | + | 17.7350i | 1.10916 | + | 0.640374i | ||||
\(768\) | 16.3058 | + | 31.2161i | 0.588386 | + | 1.12641i | ||||
\(769\) | 16.2516i | 0.586049i | 0.956105 | + | 0.293025i | \(0.0946618\pi\) | ||||
−0.956105 | + | 0.293025i | \(0.905338\pi\) | |||||||
\(770\) | 10.2680 | + | 19.1601i | 0.370034 | + | 0.690481i | ||||
\(771\) | −17.1959 | −0.619296 | ||||||||
\(772\) | 36.8296 | + | 28.8832i | 1.32553 | + | 1.03953i | ||||
\(773\) | 2.07903 | − | 3.60098i | 0.0747774 | − | 0.129518i | −0.826212 | − | 0.563359i | \(-0.809509\pi\) |
0.900989 | + | 0.433841i | \(0.142842\pi\) | |||||||
\(774\) | −5.19887 | − | 1.79544i | −0.186870 | − | 0.0645357i | ||||
\(775\) | 2.03983 | + | 3.53308i | 0.0732727 | + | 0.126912i | ||||
\(776\) | 31.4599 | − | 20.3077i | 1.12935 | − | 0.729005i | ||||
\(777\) | −5.48268 | + | 24.2095i | −0.196690 | + | 0.868513i | ||||
\(778\) | 17.5597 | − | 3.39659i | 0.629547 | − | 0.121774i | ||||
\(779\) | −3.25584 | − | 5.63928i | −0.116652 | − | 0.202048i | ||||
\(780\) | −21.0651 | − | 2.99983i | −0.754250 | − | 0.107411i | ||||
\(781\) | 44.3097 | + | 25.5822i | 1.58552 | + | 0.915403i | ||||
\(782\) | −0.850165 | + | 0.737672i | −0.0304018 | + | 0.0263791i | ||||
\(783\) | 11.1581 | 0.398758 | ||||||||
\(784\) | 20.8959 | + | 18.6376i | 0.746283 | + | 0.665628i | ||||
\(785\) | 20.4149 | 0.728637 | ||||||||
\(786\) | 18.8131 | − | 16.3238i | 0.671041 | − | 0.582249i | ||||
\(787\) | 0.346588 | + | 0.200103i | 0.0123545 | + | 0.00713289i | 0.506165 | − | 0.862437i | \(-0.331063\pi\) |
−0.493810 | + | 0.869570i | \(0.664396\pi\) | |||||||
\(788\) | 40.4463 | + | 5.75988i | 1.44084 | + | 0.205187i | ||||
\(789\) | −6.40478 | − | 11.0934i | −0.228016 | − | 0.394936i | ||||
\(790\) | −16.9211 | + | 3.27307i | −0.602027 | + | 0.116451i | ||||
\(791\) | 4.18790 | − | 18.4922i | 0.148904 | − | 0.657509i | ||||
\(792\) | 16.4424 | + | 25.4719i | 0.584256 | + | 0.905106i | ||||
\(793\) | −23.6601 | − | 40.9806i | −0.840196 | − | 1.45526i | ||||
\(794\) | −20.3626 | − | 7.03226i | −0.722642 | − | 0.249566i | ||||
\(795\) | −10.8556 | + | 18.8024i | −0.385007 | + | 0.666852i | ||||
\(796\) | 3.46514 | + | 2.71750i | 0.122819 | + | 0.0963191i | ||||
\(797\) | −4.32443 | −0.153179 | −0.0765895 | − | 0.997063i | \(-0.524403\pi\) | ||||
−0.0765895 | + | 0.997063i | \(0.524403\pi\) | |||||||
\(798\) | −7.35725 | − | 13.7286i | −0.260444 | − | 0.485987i | ||||
\(799\) | − | 8.27042i | − | 0.292586i | ||||||
\(800\) | 0.518810 | − | 5.63301i | 0.0183427 | − | 0.199157i | ||||
\(801\) | −9.44075 | − | 5.45062i | −0.333572 | − | 0.192588i | ||||
\(802\) | −20.6819 | − | 7.14254i | −0.730305 | − | 0.252212i | ||||
\(803\) | −42.7014 | + | 24.6536i | −1.50690 | + | 0.870008i | ||||
\(804\) | −19.8624 | − | 49.4215i | −0.700494 | − | 1.74296i | ||||
\(805\) | −0.327346 | + | 0.353992i | −0.0115374 | + | 0.0124766i | ||||
\(806\) | 5.29581 | + | 27.3783i | 0.186537 | + | 0.964361i | ||||
\(807\) | −46.1120 | + | 26.6228i | −1.62322 | + | 0.937165i | ||||
\(808\) | −6.97432 | + | 0.346309i | −0.245356 | + | 0.0121831i | ||||
\(809\) | −18.2699 | + | 31.6444i | −0.642335 | + | 1.11256i | 0.342576 | + | 0.939490i | \(0.388701\pi\) |
−0.984910 | + | 0.173066i | \(0.944633\pi\) | |||||||
\(810\) | 11.8898 | − | 10.3165i | 0.417764 | − | 0.362486i | ||||
\(811\) | 17.6473i | 0.619680i | 0.950789 | + | 0.309840i | \(0.100275\pi\) | ||||
−0.950789 | + | 0.309840i | \(0.899725\pi\) | |||||||
\(812\) | 8.27183 | − | 21.7012i | 0.290284 | − | 0.761564i | ||||
\(813\) | − | 34.5025i | − | 1.21005i | ||||||
\(814\) | −22.9513 | − | 26.4513i | −0.804442 | − | 0.927117i | ||||
\(815\) | −1.91267 | + | 3.31285i | −0.0669981 | + | 0.116044i | ||||
\(816\) | −9.16616 | − | 37.3454i | −0.320880 | − | 1.30735i | ||||
\(817\) | −3.45248 | + | 1.99329i | −0.120787 | + | 0.0697364i | ||||
\(818\) | −11.9773 | + | 2.31679i | −0.418778 | + | 0.0810045i | ||||
\(819\) | −22.5335 | + | 6.99236i | −0.787385 | + | 0.244333i | ||||
\(820\) | −2.56796 | − | 6.38957i | −0.0896770 | − | 0.223133i | ||||
\(821\) | −37.1429 | + | 21.4445i | −1.29630 | + | 0.748418i | −0.979763 | − | 0.200163i | \(-0.935853\pi\) |
−0.316535 | + | 0.948581i | \(0.602520\pi\) | |||||||
\(822\) | 10.3632 | − | 30.0076i | 0.361457 | − | 1.04664i | ||||
\(823\) | −31.2832 | − | 18.0614i | −1.09046 | − | 0.629580i | −0.156764 | − | 0.987636i | \(-0.550106\pi\) |
−0.933700 | + | 0.358056i | \(0.883440\pi\) | |||||||
\(824\) | −2.37632 | + | 4.63231i | −0.0827831 | + | 0.161374i | ||||
\(825\) | − | 12.7880i | − | 0.445221i | ||||||
\(826\) | −0.868647 | + | 27.4450i | −0.0302241 | + | 0.954933i | ||||
\(827\) | −7.53954 | −0.262176 | −0.131088 | − | 0.991371i | \(-0.541847\pi\) | ||||
−0.131088 | + | 0.991371i | \(0.541847\pi\) | |||||||
\(828\) | −0.414970 | + | 0.529138i | −0.0144212 | + | 0.0183888i | ||||
\(829\) | −28.0133 | + | 48.5204i | −0.972941 | + | 1.68518i | −0.286370 | + | 0.958119i | \(0.592449\pi\) |
−0.686570 | + | 0.727063i | \(0.740885\pi\) | |||||||
\(830\) | 7.83402 | − | 22.6842i | 0.271923 | − | 0.787379i | ||||
\(831\) | −16.1375 | − | 27.9509i | −0.559802 | − | 0.969606i | ||||
\(832\) | 15.9208 | − | 35.2367i | 0.551956 | − | 1.22161i | ||||
\(833\) | −17.3073 | − | 25.2018i | −0.599662 | − | 0.873192i | ||||
\(834\) | −5.87485 | − | 30.3718i | −0.203429 | − | 1.05169i | ||||
\(835\) | 10.8265 | + | 18.7521i | 0.374667 | + | 0.648943i | ||||
\(836\) | 21.7552 | + | 3.09812i | 0.752420 | + | 0.107151i | ||||
\(837\) | −8.98215 | − | 5.18585i | −0.310469 | − | 0.179249i | ||||
\(838\) | 9.90762 | + | 11.4185i | 0.342253 | + | 0.394446i | ||||
\(839\) | 33.7497 | 1.16517 | 0.582584 | − | 0.812770i | \(-0.302042\pi\) | ||||
0.582584 | + | 0.812770i | \(0.302042\pi\) | |||||||
\(840\) | −5.65591 | − | 15.4703i | −0.195148 | − | 0.533777i | ||||
\(841\) | 9.73688 | 0.335755 | ||||||||
\(842\) | −18.9946 | − | 21.8912i | −0.654597 | − | 0.754421i | ||||
\(843\) | 28.6733 | + | 16.5546i | 0.987562 | + | 0.570169i | ||||
\(844\) | −8.15919 | + | 57.2945i | −0.280851 | + | 1.97216i | ||||
\(845\) | 5.18047 | + | 8.97285i | 0.178214 | + | 0.308675i | ||||
\(846\) | −0.938334 | − | 4.85101i | −0.0322606 | − | 0.166781i | ||||
\(847\) | −57.4940 | + | 17.8409i | −1.97552 | + | 0.613021i | ||||
\(848\) | −27.3032 | − | 28.4812i | −0.937596 | − | 0.978050i | ||||
\(849\) | 5.45705 | + | 9.45188i | 0.187285 | + | 0.324388i | ||||
\(850\) | −2.01624 | + | 5.83822i | −0.0691564 | + | 0.200249i | ||||
\(851\) | 0.388376 | − | 0.672687i | 0.0133133 | − | 0.0230594i | ||||
\(852\) | −30.5070 | − | 23.9247i | −1.04515 | − | 0.819648i | ||||
\(853\) | 53.4433 | 1.82987 | 0.914933 | − | 0.403607i | \(-0.132244\pi\) | ||||
0.914933 | + | 0.403607i | \(0.132244\pi\) | |||||||
\(854\) | 19.3107 | − | 31.1293i | 0.660797 | − | 1.06522i | ||||
\(855\) | 3.48928i | 0.119331i | ||||||||
\(856\) | 23.4618 | − | 45.7356i | 0.801909 | − | 1.56321i | ||||
\(857\) | 30.9412 | + | 17.8639i | 1.05693 | + | 0.610220i | 0.924582 | − | 0.380983i | \(-0.124414\pi\) |
0.132350 | + | 0.991203i | \(0.457748\pi\) | |||||||
\(858\) | 28.5337 | − | 82.6220i | 0.974123 | − | 2.82067i | ||||
\(859\) | 4.24262 | − | 2.44948i | 0.144756 | − | 0.0835751i | −0.425873 | − | 0.904783i | \(-0.640033\pi\) |
0.570629 | + | 0.821208i | \(0.306700\pi\) | |||||||
\(860\) | −3.91182 | + | 1.57216i | −0.133392 | + | 0.0536101i | ||||
\(861\) | −14.7220 | − | 13.6138i | −0.501723 | − | 0.463957i | ||||
\(862\) | −33.5956 | + | 6.49842i | −1.14427 | + | 0.221337i | ||||
\(863\) | 27.0242 | − | 15.6024i | 0.919914 | − | 0.531113i | 0.0363065 | − | 0.999341i | \(-0.488441\pi\) |
0.883608 | + | 0.468228i | \(0.155107\pi\) | |||||||
\(864\) | 6.01814 | + | 13.0617i | 0.204741 | + | 0.444367i | ||||
\(865\) | 5.20160 | − | 9.00944i | 0.176860 | − | 0.306330i | ||||
\(866\) | −18.8099 | − | 21.6784i | −0.639187 | − | 0.736662i | ||||
\(867\) | 4.56736i | 0.155116i | ||||||||
\(868\) | −16.7446 | + | 13.6249i | −0.568350 | + | 0.462458i | ||||
\(869\) | − | 70.8021i | − | 2.40180i | ||||||
\(870\) | −10.3193 | + | 8.95387i | −0.349857 | + | 0.303565i | ||||
\(871\) | −29.2394 | + | 50.6441i | −0.990738 | + | 1.71601i | ||||
\(872\) | 0.551558 | + | 11.1078i | 0.0186781 | + | 0.376158i | ||||
\(873\) | −21.1533 | + | 12.2129i | −0.715931 | + | 0.413343i | ||||
\(874\) | 0.0925619 | + | 0.478528i | 0.00313095 | + | 0.0161864i | ||||
\(875\) | −0.584379 | + | 2.58041i | −0.0197556 | + | 0.0872337i | ||||
\(876\) | 34.6672 | − | 13.9327i | 1.17130 | − | 0.470742i | ||||
\(877\) | −4.65217 | + | 2.68593i | −0.157092 | + | 0.0906974i | −0.576485 | − | 0.817107i | \(-0.695576\pi\) |
0.419393 | + | 0.907805i | \(0.362243\pi\) | |||||||
\(878\) | 6.74337 | + | 2.32884i | 0.227578 | + | 0.0785944i | ||||
\(879\) | −4.89545 | − | 2.82639i | −0.165120 | − | 0.0953318i | ||||
\(880\) | 22.3151 | + | 6.48724i | 0.752240 | + | 0.218685i | ||||
\(881\) | − | 12.9255i | − | 0.435471i | −0.976008 | − | 0.217736i | \(-0.930133\pi\) | ||
0.976008 | − | 0.217736i | \(-0.0698670\pi\) | |||||||
\(882\) | −13.0109 | − | 12.8185i | −0.438099 | − | 0.431621i | ||||
\(883\) | 42.5290 | 1.43122 | 0.715608 | − | 0.698502i | \(-0.246150\pi\) | ||||
0.715608 | + | 0.698502i | \(0.246150\pi\) | |||||||
\(884\) | −26.0534 | + | 33.2214i | −0.876272 | + | 1.11736i | ||||
\(885\) | 8.07669 | − | 13.9892i | 0.271495 | − | 0.470243i | ||||
\(886\) | −10.8195 | − | 3.73653i | −0.363488 | − | 0.125531i | ||||
\(887\) | 19.2391 | + | 33.3231i | 0.645987 | + | 1.11888i | 0.984073 | + | 0.177766i | \(0.0568871\pi\) |
−0.338086 | + | 0.941115i | \(0.609780\pi\) | |||||||
\(888\) | 14.3916 | + | 22.2950i | 0.482952 | + | 0.748170i | ||||
\(889\) | −7.43690 | − | 1.68422i | −0.249426 | − | 0.0564868i | ||||
\(890\) | −8.20382 | + | 1.58687i | −0.274993 | + | 0.0531920i | ||||
\(891\) | 32.3339 | + | 56.0040i | 1.08323 | + | 1.87620i | ||||
\(892\) | 3.11678 | − | 21.8863i | 0.104357 | − | 0.732806i | ||||
\(893\) | −3.10144 | − | 1.79062i | −0.103786 | − | 0.0599207i | ||||
\(894\) | −37.0746 | + | 32.1689i | −1.23996 | + | 1.07589i | ||||
\(895\) | 7.61028 | 0.254383 | ||||||||
\(896\) | 29.8649 | − | 2.02160i | 0.997717 | − | 0.0675369i | ||||
\(897\) | 1.93876 | 0.0647332 | ||||||||
\(898\) | −4.33448 | + | 3.76095i | −0.144643 | + | 0.125504i | ||||
\(899\) | 15.5066 | + | 8.95275i | 0.517175 | + | 0.298591i | ||||
\(900\) | −0.520239 | + | 3.65316i | −0.0173413 | + | 0.121772i | ||||
\(901\) | 21.5396 | + | 37.3077i | 0.717588 | + | 1.24290i | ||||
\(902\) | 27.7747 | − | 5.37248i | 0.924796 | − | 0.178884i | ||||
\(903\) | −8.33464 | + | 9.01308i | −0.277359 | + | 0.299937i | ||||
\(904\) | −10.9929 | − | 17.0298i | −0.365619 | − | 0.566403i | ||||
\(905\) | 5.61124 | + | 9.71894i | 0.186524 | + | 0.323069i | ||||
\(906\) | 17.8084 | + | 6.15016i | 0.591644 | + | 0.204325i | ||||
\(907\) | 29.8056 | − | 51.6248i | 0.989679 | − | 1.71417i | 0.370738 | − | 0.928737i | \(-0.379105\pi\) |
0.618941 | − | 0.785438i | \(-0.287562\pi\) | |||||||
\(908\) | 10.1458 | − | 12.9371i | 0.336700 | − | 0.429334i | ||||
\(909\) | 4.55501 | 0.151080 | ||||||||
\(910\) | −9.53324 | + | 15.3678i | −0.316024 | + | 0.509439i | ||||
\(911\) | 40.9457i | 1.35659i | 0.734790 | + | 0.678295i | \(0.237281\pi\) | ||||
−0.734790 | + | 0.678295i | \(0.762719\pi\) | |||||||
\(912\) | −15.9892 | − | 4.64825i | −0.529456 | − | 0.153919i | ||||
\(913\) | 85.3810 | + | 49.2947i | 2.82570 | + | 1.63142i | ||||
\(914\) | −7.23804 | − | 2.49967i | −0.239413 | − | 0.0826817i | ||||
\(915\) | −18.6629 | + | 10.7751i | −0.616978 | + | 0.356212i | ||||
\(916\) | −18.6956 | + | 7.51374i | −0.617721 | + | 0.248261i | ||||
\(917\) | −6.27413 | − | 20.2190i | −0.207190 | − | 0.667689i | ||||
\(918\) | −2.98210 | − | 15.4169i | −0.0984241 | − | 0.508834i | ||||
\(919\) | −22.8509 | + | 13.1930i | −0.753781 | + | 0.435196i | −0.827058 | − | 0.562116i | \(-0.809987\pi\) |
0.0732776 | + | 0.997312i | \(0.476654\pi\) | |||||||
\(920\) | 0.0255625 | + | 0.514803i | 0.000842771 | + | 0.0169726i | ||||
\(921\) | −15.8950 | + | 27.5310i | −0.523759 | + | 0.907177i | ||||
\(922\) | −20.1985 | + | 17.5259i | −0.665202 | + | 0.577184i | ||||
\(923\) | 42.5655i | 1.40106i | ||||||||
\(924\) | 66.8096 | − | 10.7427i | 2.19787 | − | 0.353409i | ||||
\(925\) | − | 4.26237i | − | 0.140146i | ||||||
\(926\) | 0.282481 | + | 0.325558i | 0.00928289 | + | 0.0106985i | ||||
\(927\) | 1.69805 | − | 2.94110i | 0.0557711 | − | 0.0965984i | ||||
\(928\) | −10.3896 | − | 22.5494i | −0.341055 | − | 0.740221i | ||||
\(929\) | −38.7083 | + | 22.3482i | −1.26998 | + | 0.733222i | −0.974984 | − | 0.222277i | \(-0.928651\pi\) |
−0.294994 | + | 0.955499i | \(0.595318\pi\) | |||||||
\(930\) | 12.4684 | − | 2.41176i | 0.408853 | − | 0.0790848i | ||||
\(931\) | −13.1980 | + | 1.03388i | −0.432546 | + | 0.0338842i | ||||
\(932\) | 13.6789 | − | 5.49752i | 0.448067 | − | 0.180077i | ||||
\(933\) | 31.5182 | − | 18.1971i | 1.03186 | − | 0.595745i | ||||
\(934\) | −1.78773 | + | 5.17654i | −0.0584962 | + | 0.169381i | ||||
\(935\) | −21.9745 | − | 12.6870i | −0.718642 | − | 0.414908i | ||||
\(936\) | −11.5124 | + | 22.4419i | −0.376296 | + | 0.733536i | ||||
\(937\) | 14.4033i | 0.470535i | 0.971931 | + | 0.235268i | \(0.0755967\pi\) | ||||
−0.971931 | + | 0.235268i | \(0.924403\pi\) | |||||||
\(938\) | −45.2480 | − | 1.43212i | −1.47740 | − | 0.0467604i | ||||
\(939\) | 5.58701 | 0.182325 | ||||||||
\(940\) | −2.98013 | − | 2.33713i | −0.0972011 | − | 0.0762288i | ||||
\(941\) | 5.58349 | − | 9.67088i | 0.182016 | − | 0.315262i | −0.760551 | − | 0.649279i | \(-0.775071\pi\) |
0.942567 | + | 0.334017i | \(0.108404\pi\) | |||||||
\(942\) | 20.7445 | − | 60.0678i | 0.675892 | − | 1.95711i | ||||
\(943\) | 0.313730 | + | 0.543396i | 0.0102165 | + | 0.0176954i | ||||
\(944\) | 20.3140 | + | 21.1904i | 0.661164 | + | 0.689690i | ||||
\(945\) | −1.99346 | − | 6.42410i | −0.0648472 | − | 0.208976i | ||||
\(946\) | −3.28914 | − | 17.0042i | −0.106939 | − | 0.552856i | ||||
\(947\) | −10.3303 | − | 17.8927i | −0.335691 | − | 0.581434i | 0.647926 | − | 0.761703i | \(-0.275636\pi\) |
−0.983617 | + | 0.180269i | \(0.942303\pi\) | |||||||
\(948\) | −7.56385 | + | 53.1139i | −0.245662 | + | 1.72506i | ||||
\(949\) | −35.5248 | − | 20.5102i | −1.15318 | − | 0.665791i | ||||
\(950\) | 1.75282 | + | 2.02012i | 0.0568691 | + | 0.0655414i | ||||
\(951\) | 37.7262 | 1.22336 | ||||||||
\(952\) | −32.1949 | − | 5.62917i | −1.04344 | − | 0.182442i | ||||
\(953\) | 29.6708 | 0.961132 | 0.480566 | − | 0.876959i | \(-0.340431\pi\) | ||||
0.480566 | + | 0.876959i | \(0.340431\pi\) | |||||||
\(954\) | 16.8668 | + | 19.4390i | 0.546084 | + | 0.629360i | ||||
\(955\) | −6.68571 | − | 3.86000i | −0.216344 | − | 0.124907i | ||||
\(956\) | 41.4883 | + | 5.90826i | 1.34183 | + | 0.191087i | ||||
\(957\) | −28.0631 | − | 48.6067i | −0.907152 | − | 1.57123i | ||||
\(958\) | −8.84916 | − | 45.7485i | −0.285904 | − | 1.47807i | ||||
\(959\) | −19.8107 | − | 18.3195i | −0.639720 | − | 0.591566i | ||||
\(960\) | −16.0471 | − | 7.25050i | −0.517919 | − | 0.234009i | ||||
\(961\) | 7.17822 | + | 12.4330i | 0.231555 | + | 0.401066i | ||||
\(962\) | 9.51056 | − | 27.5388i | 0.306633 | − | 0.887885i | ||||
\(963\) | −16.7651 | + | 29.0380i | −0.540248 | + | 0.935736i | ||||
\(964\) | −3.45071 | + | 4.40009i | −0.111140 | + | 0.141717i | ||||
\(965\) | −23.4022 | −0.753345 | ||||||||
\(966\) | 0.708939 | + | 1.32288i | 0.0228098 | + | 0.0425629i | ||||
\(967\) | − | 50.5419i | − | 1.62532i | −0.582740 | − | 0.812658i | \(-0.698020\pi\) | ||
0.582740 | − | 0.812658i | \(-0.301980\pi\) | |||||||
\(968\) | −29.3738 | + | 57.2602i | −0.944111 | + | 1.84041i | ||||
\(969\) | 15.7452 | + | 9.09048i | 0.505808 | + | 0.292028i | ||||
\(970\) | −6.11166 | + | 17.6969i | −0.196234 | + | 0.568214i | ||||
\(971\) | 30.5599 | − | 17.6438i | 0.980715 | − | 0.566216i | 0.0782293 | − | 0.996935i | \(-0.475073\pi\) |
0.902486 | + | 0.430719i | \(0.141740\pi\) | |||||||
\(972\) | −12.5849 | − | 31.3135i | −0.403659 | − | 1.00438i | ||||
\(973\) | −25.6433 | − | 5.80737i | −0.822086 | − | 0.186176i | ||||
\(974\) | 57.5452 | − | 11.1310i | 1.84387 | − | 0.356660i | ||||
\(975\) | 9.21347 | − | 5.31940i | 0.295067 | − | 0.170357i | ||||
\(976\) | −9.33491 | − | 38.0329i | −0.298803 | − | 1.21740i | ||||
\(977\) | −13.3142 | + | 23.0609i | −0.425960 | + | 0.737784i | −0.996510 | − | 0.0834788i | \(-0.973397\pi\) |
0.570550 | + | 0.821263i | \(0.306730\pi\) | |||||||
\(978\) | 7.80402 | + | 8.99411i | 0.249545 | + | 0.287600i | ||||
\(979\) | − | 34.3268i | − | 1.09709i | ||||||
\(980\) | −13.9720 | − | 0.885327i | −0.446318 | − | 0.0282807i | ||||
\(981\) | − | 7.25465i | − | 0.231623i | ||||||
\(982\) | −27.1677 | + | 23.5729i | −0.866957 | + | 0.752242i | ||||
\(983\) | −9.60664 | + | 16.6392i | −0.306404 | + | 0.530708i | −0.977573 | − | 0.210597i | \(-0.932459\pi\) |
0.671169 | + | 0.741305i | \(0.265793\pi\) | |||||||
\(984\) | −21.4098 | + | 1.06310i | −0.682520 | + | 0.0338904i | ||||
\(985\) | −17.6905 | + | 10.2136i | −0.563666 | + | 0.325432i | ||||
\(986\) | 5.14825 | + | 26.6155i | 0.163954 | + | 0.847609i | ||||
\(987\) | −10.7555 | − | 2.43577i | −0.342351 | − | 0.0775315i | ||||
\(988\) | 6.81735 | + | 16.9629i | 0.216889 | + | 0.539660i | ||||
\(989\) | 0.332678 | − | 0.192072i | 0.0105786 | − | 0.00610753i | ||||
\(990\) | −14.3285 | − | 4.94838i | −0.455390 | − | 0.157270i | ||||
\(991\) | 52.2605 | + | 30.1726i | 1.66011 | + | 0.958465i | 0.972660 | + | 0.232233i | \(0.0746033\pi\) |
0.687450 | + | 0.726232i | \(0.258730\pi\) | |||||||
\(992\) | −2.11657 | + | 22.9807i | −0.0672011 | + | 0.729639i | ||||
\(993\) | − | 52.3991i | − | 1.66283i | ||||||
\(994\) | −29.0438 | + | 15.5648i | −0.921215 | + | 0.493685i | ||||
\(995\) | −2.20182 | −0.0698023 | ||||||||
\(996\) | −58.7844 | − | 46.1010i | −1.86266 | − | 1.46076i | ||||
\(997\) | 8.59147 | − | 14.8809i | 0.272095 | − | 0.471282i | −0.697303 | − | 0.716776i | \(-0.745617\pi\) |
0.969398 | + | 0.245495i | \(0.0789503\pi\) | |||||||
\(998\) | 8.69041 | + | 3.00125i | 0.275090 | + | 0.0950028i | ||||
\(999\) | 5.41811 | + | 9.38444i | 0.171421 | + | 0.296911i |
(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.171.11 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.f.591.4 | 24 | |||
7.5 | odd | 6 | 280.2.bj.f.131.2 | yes | 24 | ||
8.3 | odd | 2 | 280.2.bj.f.171.2 | yes | 24 | ||
8.5 | even | 2 | 1120.2.bz.e.591.4 | 24 | |||
28.19 | even | 6 | 1120.2.bz.e.271.4 | 24 | |||
56.5 | odd | 6 | 1120.2.bz.f.271.4 | 24 | |||
56.19 | even | 6 | inner | 280.2.bj.e.131.11 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.11 | ✓ | 24 | 56.19 | even | 6 | inner | |
280.2.bj.e.171.11 | yes | 24 | 1.1 | even | 1 | trivial | |
280.2.bj.f.131.2 | yes | 24 | 7.5 | odd | 6 | ||
280.2.bj.f.171.2 | yes | 24 | 8.3 | odd | 2 | ||
1120.2.bz.e.271.4 | 24 | 28.19 | even | 6 | |||
1120.2.bz.e.591.4 | 24 | 8.5 | even | 2 | |||
1120.2.bz.f.271.4 | 24 | 56.5 | odd | 6 | |||
1120.2.bz.f.591.4 | 24 | 4.3 | odd | 2 |