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 | 171.6 | ||
Character | \(\chi\) | \(=\) | 280.171 |
Dual form | 280.2.bj.e.131.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.447296 | − | 1.34161i | −0.316286 | − | 0.948664i | ||||
\(3\) | −0.219454 | − | 0.126702i | −0.126702 | − | 0.0731514i | 0.435309 | − | 0.900281i | \(-0.356639\pi\) |
−0.562011 | + | 0.827130i | \(0.689972\pi\) | |||||||
\(4\) | −1.59985 | + | 1.20020i | −0.799927 | + | 0.600098i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | −0.0718241 | + | 0.351096i | −0.0293221 | + | 0.143334i | ||||
\(7\) | −0.978876 | − | 2.45801i | −0.369980 | − | 0.929040i | ||||
\(8\) | 2.32581 | + | 1.60954i | 0.822297 | + | 0.569059i | ||||
\(9\) | −1.46789 | − | 2.54247i | −0.489298 | − | 0.847489i | ||||
\(10\) | 0.938224 | − | 1.05818i | 0.296692 | − | 0.334625i | ||||
\(11\) | 1.81455 | − | 3.14289i | 0.547106 | − | 0.947616i | −0.451365 | − | 0.892339i | \(-0.649063\pi\) |
0.998471 | − | 0.0552761i | \(-0.0176039\pi\) | |||||||
\(12\) | 0.503161 | − | 0.0606834i | 0.145250 | − | 0.0175178i | ||||
\(13\) | −5.36097 | −1.48687 | −0.743433 | − | 0.668810i | \(-0.766804\pi\) | ||||
−0.743433 | + | 0.668810i | \(0.766804\pi\) | |||||||
\(14\) | −2.85985 | + | 2.41273i | −0.764327 | + | 0.644829i | ||||
\(15\) | − | 0.253404i | − | 0.0654286i | ||||||
\(16\) | 1.11906 | − | 3.84027i | 0.279765 | − | 0.960068i | ||||
\(17\) | −4.46956 | − | 2.58050i | −1.08403 | − | 0.625863i | −0.152047 | − | 0.988373i | \(-0.548586\pi\) |
−0.931980 | + | 0.362510i | \(0.881920\pi\) | |||||||
\(18\) | −2.75442 | + | 3.10658i | −0.649224 | + | 0.732228i | ||||
\(19\) | 5.49220 | − | 3.17092i | 1.26000 | − | 0.727460i | 0.286924 | − | 0.957953i | \(-0.407367\pi\) |
0.973074 | + | 0.230494i | \(0.0740341\pi\) | |||||||
\(20\) | −1.83933 | − | 0.785416i | −0.411286 | − | 0.175624i | ||||
\(21\) | −0.0966157 | + | 0.663445i | −0.0210833 | + | 0.144776i | ||||
\(22\) | −5.02818 | − | 1.02862i | −1.07201 | − | 0.219303i | ||||
\(23\) | −0.231195 | + | 0.133481i | −0.0482076 | + | 0.0278326i | −0.523910 | − | 0.851774i | \(-0.675527\pi\) |
0.475703 | + | 0.879606i | \(0.342194\pi\) | |||||||
\(24\) | −0.306475 | − | 0.647905i | −0.0625590 | − | 0.132253i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 2.39794 | + | 7.19235i | 0.470274 | + | 1.41054i | ||||
\(27\) | 1.50415i | 0.289474i | ||||||||
\(28\) | 4.51615 | + | 2.75761i | 0.853472 | + | 0.521139i | ||||
\(29\) | 2.99647i | 0.556430i | 0.960519 | + | 0.278215i | \(0.0897428\pi\) | ||||
−0.960519 | + | 0.278215i | \(0.910257\pi\) | |||||||
\(30\) | −0.339970 | + | 0.113346i | −0.0620697 | + | 0.0206941i | ||||
\(31\) | −2.72336 | + | 4.71700i | −0.489130 | + | 0.847199i | −0.999922 | − | 0.0125059i | \(-0.996019\pi\) |
0.510791 | + | 0.859705i | \(0.329352\pi\) | |||||||
\(32\) | −5.65271 | + | 0.216390i | −0.999268 | + | 0.0382527i | ||||
\(33\) | −0.796419 | + | 0.459813i | −0.138639 | + | 0.0800431i | ||||
\(34\) | −1.46282 | + | 7.15066i | −0.250872 | + | 1.22633i | ||||
\(35\) | 1.63926 | − | 2.07674i | 0.277085 | − | 0.351032i | ||||
\(36\) | 5.39987 | + | 2.30581i | 0.899978 | + | 0.384302i | ||||
\(37\) | 7.48336 | − | 4.32052i | 1.23026 | − | 0.710289i | 0.263173 | − | 0.964749i | \(-0.415231\pi\) |
0.967083 | + | 0.254460i | \(0.0818977\pi\) | |||||||
\(38\) | −6.71079 | − | 5.95007i | −1.08863 | − | 0.965229i | ||||
\(39\) | 1.17649 | + | 0.679245i | 0.188389 | + | 0.108766i | ||||
\(40\) | −0.231002 | + | 2.81898i | −0.0365246 | + | 0.445720i | ||||
\(41\) | − | 3.46796i | − | 0.541604i | −0.962635 | − | 0.270802i | \(-0.912711\pi\) | ||
0.962635 | − | 0.270802i | \(-0.0872889\pi\) | |||||||
\(42\) | 0.933303 | − | 0.167135i | 0.144012 | − | 0.0257895i | ||||
\(43\) | 5.33960 | 0.814281 | 0.407140 | − | 0.913366i | \(-0.366526\pi\) | ||||
0.407140 | + | 0.913366i | \(0.366526\pi\) | |||||||
\(44\) | 0.869070 | + | 7.20596i | 0.131017 | + | 1.08634i | ||||
\(45\) | 1.46789 | − | 2.54247i | 0.218821 | − | 0.379008i | ||||
\(46\) | 0.282492 | + | 0.250469i | 0.0416512 | + | 0.0369297i | ||||
\(47\) | −2.26364 | − | 3.92073i | −0.330185 | − | 0.571898i | 0.652363 | − | 0.757907i | \(-0.273778\pi\) |
−0.982548 | + | 0.186009i | \(0.940445\pi\) | |||||||
\(48\) | −0.732152 | + | 0.700977i | −0.105677 | + | 0.101177i | ||||
\(49\) | −5.08360 | + | 4.81217i | −0.726229 | + | 0.687453i | ||||
\(50\) | 1.38552 | + | 0.283437i | 0.195942 | + | 0.0400841i | ||||
\(51\) | 0.653908 | + | 1.13260i | 0.0915655 | + | 0.158596i | ||||
\(52\) | 8.57677 | − | 6.43421i | 1.18938 | − | 0.892265i | ||||
\(53\) | −3.09705 | − | 1.78808i | −0.425413 | − | 0.245612i | 0.271978 | − | 0.962304i | \(-0.412322\pi\) |
−0.697391 | + | 0.716691i | \(0.745656\pi\) | |||||||
\(54\) | 2.01799 | − | 0.672800i | 0.274613 | − | 0.0915565i | ||||
\(55\) | 3.62909 | 0.489347 | ||||||||
\(56\) | 1.67959 | − | 7.29239i | 0.224445 | − | 0.974487i | ||||
\(57\) | −1.60705 | −0.212859 | ||||||||
\(58\) | 4.02010 | − | 1.34031i | 0.527865 | − | 0.175991i | ||||
\(59\) | 6.83489 | + | 3.94613i | 0.889827 | + | 0.513742i | 0.873886 | − | 0.486131i | \(-0.161592\pi\) |
0.0159410 | + | 0.999873i | \(0.494926\pi\) | |||||||
\(60\) | 0.304134 | + | 0.405409i | 0.0392635 | + | 0.0523380i | ||||
\(61\) | 2.63069 | + | 4.55649i | 0.336825 | + | 0.583398i | 0.983834 | − | 0.179084i | \(-0.0573135\pi\) |
−0.647009 | + | 0.762483i | \(0.723980\pi\) | |||||||
\(62\) | 7.54654 | + | 1.54381i | 0.958412 | + | 0.196064i | ||||
\(63\) | −4.81251 | + | 6.09685i | −0.606320 | + | 0.768131i | ||||
\(64\) | 2.81875 | + | 7.48697i | 0.352343 | + | 0.935871i | ||||
\(65\) | −2.68049 | − | 4.64274i | −0.332473 | − | 0.575861i | ||||
\(66\) | 0.973125 | + | 0.862814i | 0.119783 | + | 0.106205i | ||||
\(67\) | 0.963653 | − | 1.66910i | 0.117729 | − | 0.203913i | −0.801138 | − | 0.598479i | \(-0.795772\pi\) |
0.918867 | + | 0.394567i | \(0.129105\pi\) | |||||||
\(68\) | 10.2477 | − | 1.23592i | 1.24272 | − | 0.149877i | ||||
\(69\) | 0.0676490 | 0.00814398 | ||||||||
\(70\) | −3.51941 | − | 1.27034i | −0.420650 | − | 0.151834i | ||||
\(71\) | − | 15.9319i | − | 1.89077i | −0.325956 | − | 0.945385i | \(-0.605686\pi\) | ||
0.325956 | − | 0.945385i | \(-0.394314\pi\) | |||||||
\(72\) | 0.678172 | − | 8.27592i | 0.0799233 | − | 0.975326i | ||||
\(73\) | 7.12385 | + | 4.11296i | 0.833783 | + | 0.481385i | 0.855146 | − | 0.518387i | \(-0.173467\pi\) |
−0.0213629 | + | 0.999772i | \(0.506801\pi\) | |||||||
\(74\) | −9.14374 | − | 8.10722i | −1.06294 | − | 0.942446i | ||||
\(75\) | 0.219454 | − | 0.126702i | 0.0253404 | − | 0.0146303i | ||||
\(76\) | −4.98099 | + | 11.6647i | −0.571358 | + | 1.33804i | ||||
\(77\) | −9.50145 | − | 1.38367i | −1.08279 | − | 0.157684i | ||||
\(78\) | 0.385047 | − | 1.88221i | 0.0435980 | − | 0.213119i | ||||
\(79\) | 9.94273 | − | 5.74044i | 1.11864 | − | 0.645849i | 0.177590 | − | 0.984105i | \(-0.443170\pi\) |
0.941054 | + | 0.338255i | \(0.109837\pi\) | |||||||
\(80\) | 3.88531 | − | 0.951001i | 0.434390 | − | 0.106325i | ||||
\(81\) | −4.21310 | + | 7.29731i | −0.468122 | + | 0.810812i | ||||
\(82\) | −4.65266 | + | 1.55120i | −0.513800 | + | 0.171302i | ||||
\(83\) | 5.75814i | 0.632039i | 0.948753 | + | 0.316019i | \(0.102346\pi\) | ||||
−0.948753 | + | 0.316019i | \(0.897654\pi\) | |||||||
\(84\) | −0.641693 | − | 1.17737i | −0.0700144 | − | 0.128462i | ||||
\(85\) | − | 5.16100i | − | 0.559789i | ||||||
\(86\) | −2.38838 | − | 7.16367i | −0.257545 | − | 0.772479i | ||||
\(87\) | 0.379658 | − | 0.657587i | 0.0407036 | − | 0.0705007i | ||||
\(88\) | 9.27889 | − | 4.38915i | 0.989133 | − | 0.467885i | ||||
\(89\) | 4.77496 | − | 2.75683i | 0.506145 | − | 0.292223i | −0.225103 | − | 0.974335i | \(-0.572272\pi\) |
0.731248 | + | 0.682112i | \(0.238938\pi\) | |||||||
\(90\) | −4.06759 | − | 0.832112i | −0.428761 | − | 0.0877123i | ||||
\(91\) | 5.24773 | + | 13.1773i | 0.550111 | + | 1.38136i | ||||
\(92\) | 0.209676 | − | 0.491029i | 0.0218602 | − | 0.0511933i | ||||
\(93\) | 1.19531 | − | 0.690110i | 0.123947 | − | 0.0715611i | ||||
\(94\) | −4.24759 | + | 4.79065i | −0.438106 | + | 0.494118i | ||||
\(95\) | 5.49220 | + | 3.17092i | 0.563488 | + | 0.325330i | ||||
\(96\) | 1.26793 | + | 0.668722i | 0.129407 | + | 0.0682511i | ||||
\(97\) | 7.98474i | 0.810727i | 0.914156 | + | 0.405364i | \(0.132855\pi\) | ||||
−0.914156 | + | 0.405364i | \(0.867145\pi\) | |||||||
\(98\) | 8.72995 | + | 4.66777i | 0.881858 | + | 0.471516i | ||||
\(99\) | −10.6542 | −1.07079 | ||||||||
\(100\) | −0.239473 | − | 1.98561i | −0.0239473 | − | 0.198561i | ||||
\(101\) | −4.74975 | + | 8.22681i | −0.472618 | + | 0.818598i | −0.999509 | − | 0.0313347i | \(-0.990024\pi\) |
0.526891 | + | 0.849933i | \(0.323358\pi\) | |||||||
\(102\) | 1.22702 | − | 1.38390i | 0.121494 | − | 0.137027i | ||||
\(103\) | 3.75103 | + | 6.49697i | 0.369600 | + | 0.640166i | 0.989503 | − | 0.144513i | \(-0.0461615\pi\) |
−0.619903 | + | 0.784678i | \(0.712828\pi\) | |||||||
\(104\) | −12.4686 | − | 8.62871i | −1.22264 | − | 0.846115i | ||||
\(105\) | −0.622868 | + | 0.248051i | −0.0607857 | + | 0.0242073i | ||||
\(106\) | −1.01362 | + | 4.95485i | −0.0984515 | + | 0.481258i | ||||
\(107\) | −3.73750 | − | 6.47354i | −0.361318 | − | 0.625821i | 0.626860 | − | 0.779132i | \(-0.284340\pi\) |
−0.988178 | + | 0.153311i | \(0.951006\pi\) | |||||||
\(108\) | −1.80527 | − | 2.40642i | −0.173713 | − | 0.231558i | ||||
\(109\) | 16.8873 | + | 9.74989i | 1.61751 | + | 0.933870i | 0.987561 | + | 0.157234i | \(0.0502578\pi\) |
0.629949 | + | 0.776636i | \(0.283076\pi\) | |||||||
\(110\) | −1.62328 | − | 4.86884i | −0.154773 | − | 0.464225i | ||||
\(111\) | −2.18967 | −0.207834 | ||||||||
\(112\) | −10.5348 | + | 1.00849i | −0.995449 | + | 0.0952936i | ||||
\(113\) | −20.8176 | −1.95836 | −0.979179 | − | 0.202997i | \(-0.934932\pi\) | ||||
−0.979179 | + | 0.202997i | \(0.934932\pi\) | |||||||
\(114\) | 0.718825 | + | 2.15604i | 0.0673242 | + | 0.201931i | ||||
\(115\) | −0.231195 | − | 0.133481i | −0.0215591 | − | 0.0124471i | ||||
\(116\) | −3.59635 | − | 4.79391i | −0.333912 | − | 0.445103i | ||||
\(117\) | 7.86933 | + | 13.6301i | 0.727520 | + | 1.26010i | ||||
\(118\) | 2.23696 | − | 10.9349i | 0.205929 | − | 1.00664i | ||||
\(119\) | −1.96774 | + | 13.5122i | −0.180383 | + | 1.23866i | ||||
\(120\) | 0.407864 | − | 0.589368i | 0.0372327 | − | 0.0538017i | ||||
\(121\) | −1.08515 | − | 1.87954i | −0.0986502 | − | 0.170867i | ||||
\(122\) | 4.93635 | − | 5.56746i | 0.446916 | − | 0.504055i | ||||
\(123\) | −0.439397 | + | 0.761058i | −0.0396191 | + | 0.0686223i | ||||
\(124\) | −1.30434 | − | 10.8151i | −0.117134 | − | 0.971223i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 10.3322 | + | 3.72944i | 0.920469 | + | 0.332245i | ||||
\(127\) | − | 8.44123i | − | 0.749038i | −0.927219 | − | 0.374519i | \(-0.877808\pi\) | ||
0.927219 | − | 0.374519i | \(-0.122192\pi\) | |||||||
\(128\) | 8.78380 | − | 7.13055i | 0.776386 | − | 0.630258i | ||||
\(129\) | −1.17180 | − | 0.676537i | −0.103171 | − | 0.0595657i | ||||
\(130\) | −5.02979 | + | 5.67285i | −0.441142 | + | 0.497542i | ||||
\(131\) | −4.74957 | + | 2.74216i | −0.414972 | + | 0.239584i | −0.692924 | − | 0.721011i | \(-0.743678\pi\) |
0.277952 | + | 0.960595i | \(0.410344\pi\) | |||||||
\(132\) | 0.722288 | − | 1.69149i | 0.0628671 | − | 0.147225i | ||||
\(133\) | −13.1703 | − | 10.3959i | −1.14201 | − | 0.901441i | ||||
\(134\) | −2.67032 | − | 0.546271i | −0.230681 | − | 0.0471906i | ||||
\(135\) | −1.30263 | + | 0.752075i | −0.112113 | + | 0.0647283i | ||||
\(136\) | −6.24190 | − | 13.1957i | −0.535238 | − | 1.13152i | ||||
\(137\) | 4.21281 | − | 7.29680i | 0.359925 | − | 0.623408i | −0.628023 | − | 0.778195i | \(-0.716136\pi\) |
0.987948 | + | 0.154787i | \(0.0494691\pi\) | |||||||
\(138\) | −0.0302591 | − | 0.0907588i | −0.00257583 | − | 0.00772590i | ||||
\(139\) | − | 11.5832i | − | 0.982472i | −0.871027 | − | 0.491236i | \(-0.836545\pi\) | ||
0.871027 | − | 0.491236i | \(-0.163455\pi\) | |||||||
\(140\) | −0.130085 | + | 5.28990i | −0.0109942 | + | 0.447078i | ||||
\(141\) | 1.14723i | 0.0966140i | ||||||||
\(142\) | −21.3745 | + | 7.12627i | −1.79370 | + | 0.598023i | ||||
\(143\) | −9.72773 | + | 16.8489i | −0.813473 | + | 1.40898i | ||||
\(144\) | −11.4064 | + | 2.79194i | −0.950536 | + | 0.232661i | ||||
\(145\) | −2.59502 | + | 1.49823i | −0.215504 | + | 0.124422i | ||||
\(146\) | 2.33153 | − | 11.3972i | 0.192959 | − | 0.943235i | ||||
\(147\) | 1.72533 | − | 0.411949i | 0.142303 | − | 0.0339769i | ||||
\(148\) | −6.78681 | + | 15.8937i | −0.557872 | + | 1.30645i | ||||
\(149\) | 10.0102 | − | 5.77937i | 0.820065 | − | 0.473465i | −0.0303740 | − | 0.999539i | \(-0.509670\pi\) |
0.850439 | + | 0.526074i | \(0.176336\pi\) | |||||||
\(150\) | −0.268146 | − | 0.237749i | −0.0218940 | − | 0.0194122i | ||||
\(151\) | −13.9344 | − | 8.04501i | −1.13396 | − | 0.654694i | −0.189035 | − | 0.981970i | \(-0.560536\pi\) |
−0.944929 | + | 0.327276i | \(0.893869\pi\) | |||||||
\(152\) | 17.8775 | + | 1.46498i | 1.45006 | + | 0.118825i | ||||
\(153\) | 15.1516i | 1.22493i | ||||||||
\(154\) | 2.39361 | + | 13.3662i | 0.192882 | + | 1.07708i | ||||
\(155\) | −5.44673 | −0.437492 | ||||||||
\(156\) | −2.69743 | + | 0.325322i | −0.215967 | + | 0.0260466i | ||||
\(157\) | −1.07894 | + | 1.86877i | −0.0861086 | + | 0.149144i | −0.905863 | − | 0.423571i | \(-0.860777\pi\) |
0.819754 | + | 0.572715i | \(0.194110\pi\) | |||||||
\(158\) | −12.1488 | − | 10.7716i | −0.966505 | − | 0.856944i | ||||
\(159\) | 0.453107 | + | 0.784805i | 0.0359337 | + | 0.0622391i | ||||
\(160\) | −3.01376 | − | 4.78720i | −0.238258 | − | 0.378461i | ||||
\(161\) | 0.554408 | + | 0.437619i | 0.0436935 | + | 0.0344892i | ||||
\(162\) | 11.6747 | + | 2.38830i | 0.917248 | + | 0.187643i | ||||
\(163\) | 0.598474 | + | 1.03659i | 0.0468761 | + | 0.0811918i | 0.888511 | − | 0.458854i | \(-0.151740\pi\) |
−0.841635 | + | 0.540046i | \(0.818407\pi\) | |||||||
\(164\) | 4.16223 | + | 5.54823i | 0.325015 | + | 0.433244i | ||||
\(165\) | −0.796419 | − | 0.459813i | −0.0620011 | − | 0.0357964i | ||||
\(166\) | 7.72520 | − | 2.57559i | 0.599592 | − | 0.199905i | ||||
\(167\) | 13.0622 | 1.01079 | 0.505393 | − | 0.862889i | \(-0.331347\pi\) | ||||
0.505393 | + | 0.862889i | \(0.331347\pi\) | |||||||
\(168\) | −1.29255 | + | 1.38754i | −0.0997226 | + | 0.107051i | ||||
\(169\) | 15.7400 | 1.21077 | ||||||||
\(170\) | −6.92407 | + | 2.30849i | −0.531052 | + | 0.177053i | ||||
\(171\) | −16.1239 | − | 9.30916i | −1.23303 | − | 0.711889i | ||||
\(172\) | −8.54257 | + | 6.40856i | −0.651365 | + | 0.488648i | ||||
\(173\) | −12.3607 | − | 21.4093i | −0.939764 | − | 1.62772i | −0.765910 | − | 0.642948i | \(-0.777711\pi\) |
−0.173854 | − | 0.984771i | \(-0.555622\pi\) | |||||||
\(174\) | −1.05205 | − | 0.215219i | −0.0797555 | − | 0.0163157i | ||||
\(175\) | 2.61814 | + | 0.381272i | 0.197912 | + | 0.0288215i | ||||
\(176\) | −10.0390 | − | 10.4854i | −0.756714 | − | 0.790369i | ||||
\(177\) | −0.999963 | − | 1.73199i | −0.0751618 | − | 0.130184i | ||||
\(178\) | −5.83441 | − | 5.17304i | −0.437308 | − | 0.387736i | ||||
\(179\) | −6.48006 | + | 11.2238i | −0.484342 | + | 0.838905i | −0.999838 | − | 0.0179868i | \(-0.994274\pi\) |
0.515496 | + | 0.856892i | \(0.327608\pi\) | |||||||
\(180\) | 0.703042 | + | 5.82933i | 0.0524017 | + | 0.434493i | ||||
\(181\) | −10.5665 | −0.785403 | −0.392702 | − | 0.919666i | \(-0.628459\pi\) | ||||
−0.392702 | + | 0.919666i | \(0.628459\pi\) | |||||||
\(182\) | 15.3316 | − | 12.9346i | 1.13645 | − | 0.958774i | ||||
\(183\) | − | 1.33325i | − | 0.0985569i | ||||||
\(184\) | −0.752558 | − | 0.0616685i | −0.0554793 | − | 0.00454627i | ||||
\(185\) | 7.48336 | + | 4.32052i | 0.550187 | + | 0.317651i | ||||
\(186\) | −1.46052 | − | 1.29496i | −0.107090 | − | 0.0949507i | ||||
\(187\) | −16.2204 | + | 9.36487i | −1.18616 | + | 0.684827i | ||||
\(188\) | 8.32713 | + | 3.55579i | 0.607318 | + | 0.259333i | ||||
\(189\) | 3.69721 | − | 1.47238i | 0.268933 | − | 0.107100i | ||||
\(190\) | 1.79752 | − | 8.78675i | 0.130406 | − | 0.637458i | ||||
\(191\) | −3.42981 | + | 1.98020i | −0.248173 | + | 0.143282i | −0.618927 | − | 0.785448i | \(-0.712432\pi\) |
0.370755 | + | 0.928731i | \(0.379099\pi\) | |||||||
\(192\) | 0.330027 | − | 2.00019i | 0.0238177 | − | 0.144351i | ||||
\(193\) | 7.14531 | − | 12.3760i | 0.514330 | − | 0.890846i | −0.485531 | − | 0.874219i | \(-0.661374\pi\) |
0.999862 | − | 0.0166270i | \(-0.00529279\pi\) | |||||||
\(194\) | 10.7124 | − | 3.57154i | 0.769108 | − | 0.256421i | ||||
\(195\) | 1.35849i | 0.0972835i | ||||||||
\(196\) | 2.35747 | − | 13.8001i | 0.168391 | − | 0.985720i | ||||
\(197\) | 4.05223i | 0.288709i | 0.989526 | + | 0.144355i | \(0.0461106\pi\) | ||||
−0.989526 | + | 0.144355i | \(0.953889\pi\) | |||||||
\(198\) | 4.76559 | + | 14.2939i | 0.338676 | + | 1.01582i | ||||
\(199\) | 1.37120 | − | 2.37499i | 0.0972020 | − | 0.168359i | −0.813324 | − | 0.581812i | \(-0.802344\pi\) |
0.910525 | + | 0.413453i | \(0.135677\pi\) | |||||||
\(200\) | −2.55681 | + | 1.20944i | −0.180794 | + | 0.0855200i | ||||
\(201\) | −0.422955 | + | 0.244193i | −0.0298330 | + | 0.0172241i | ||||
\(202\) | 13.1617 | + | 2.69251i | 0.926057 | + | 0.189445i | ||||
\(203\) | 7.36534 | − | 2.93317i | 0.516946 | − | 0.205868i | ||||
\(204\) | −2.40550 | − | 1.02718i | −0.168419 | − | 0.0719170i | ||||
\(205\) | 3.00334 | − | 1.73398i | 0.209762 | − | 0.121106i | ||||
\(206\) | 7.03860 | − | 7.93850i | 0.490403 | − | 0.553101i | ||||
\(207\) | 0.678740 | + | 0.391871i | 0.0471757 | + | 0.0272369i | ||||
\(208\) | −5.99925 | + | 20.5876i | −0.415973 | + | 1.42749i | ||||
\(209\) | − | 23.0151i | − | 1.59199i | ||||||
\(210\) | 0.611395 | + | 0.724696i | 0.0421902 | + | 0.0500088i | ||||
\(211\) | −2.41112 | −0.165988 | −0.0829942 | − | 0.996550i | \(-0.526448\pi\) | ||||
−0.0829942 | + | 0.996550i | \(0.526448\pi\) | |||||||
\(212\) | 7.10088 | − | 0.856397i | 0.487691 | − | 0.0588176i | ||||
\(213\) | −2.01860 | + | 3.49632i | −0.138312 | + | 0.239564i | ||||
\(214\) | −7.01322 | + | 7.90987i | −0.479414 | + | 0.540708i | ||||
\(215\) | 2.66980 | + | 4.62422i | 0.182079 | + | 0.315370i | ||||
\(216\) | −2.42099 | + | 3.49836i | −0.164728 | + | 0.238033i | ||||
\(217\) | 14.2603 | + | 2.07668i | 0.968050 | + | 0.140975i | ||||
\(218\) | 5.52697 | − | 27.0173i | 0.374333 | − | 1.82984i | ||||
\(219\) | −1.04224 | − | 1.80521i | −0.0704279 | − | 0.121985i | ||||
\(220\) | −5.80601 | + | 4.35562i | −0.391441 | + | 0.293656i | ||||
\(221\) | 23.9612 | + | 13.8340i | 1.61180 | + | 0.930575i | ||||
\(222\) | 0.979430 | + | 2.93769i | 0.0657350 | + | 0.197165i | ||||
\(223\) | 19.8843 | 1.33155 | 0.665774 | − | 0.746153i | \(-0.268101\pi\) | ||||
0.665774 | + | 0.746153i | \(0.268101\pi\) | |||||||
\(224\) | 6.06520 | + | 13.6826i | 0.405248 | + | 0.914207i | ||||
\(225\) | 2.93579 | 0.195719 | ||||||||
\(226\) | 9.31164 | + | 27.9292i | 0.619401 | + | 1.85782i | ||||
\(227\) | 21.4464 | + | 12.3821i | 1.42345 | + | 0.821827i | 0.996592 | − | 0.0824926i | \(-0.0262881\pi\) |
0.426855 | + | 0.904320i | \(0.359621\pi\) | |||||||
\(228\) | 2.57104 | − | 1.92877i | 0.170271 | − | 0.127736i | ||||
\(229\) | −5.98187 | − | 10.3609i | −0.395293 | − | 0.684668i | 0.597845 | − | 0.801612i | \(-0.296024\pi\) |
−0.993139 | + | 0.116943i | \(0.962690\pi\) | |||||||
\(230\) | −0.0756668 | + | 0.369880i | −0.00498932 | + | 0.0243892i | ||||
\(231\) | 1.90982 | + | 1.50750i | 0.125657 | + | 0.0991865i | ||||
\(232\) | −4.82294 | + | 6.96920i | −0.316642 | + | 0.457551i | ||||
\(233\) | 5.54956 | + | 9.61212i | 0.363564 | + | 0.629711i | 0.988545 | − | 0.150929i | \(-0.0482265\pi\) |
−0.624981 | + | 0.780640i | \(0.714893\pi\) | |||||||
\(234\) | 14.7664 | − | 16.6543i | 0.965309 | − | 1.08872i | ||||
\(235\) | 2.26364 | − | 3.92073i | 0.147663 | − | 0.255760i | ||||
\(236\) | −15.6709 | + | 1.88998i | −1.02009 | + | 0.123027i | ||||
\(237\) | −2.90930 | −0.188979 | ||||||||
\(238\) | 19.0083 | − | 3.40399i | 1.23213 | − | 0.220648i | ||||
\(239\) | − | 24.8172i | − | 1.60529i | −0.596455 | − | 0.802646i | \(-0.703425\pi\) | ||
0.596455 | − | 0.802646i | \(-0.296575\pi\) | |||||||
\(240\) | −0.973140 | − | 0.283574i | −0.0628159 | − | 0.0183046i | ||||
\(241\) | 9.84971 | + | 5.68673i | 0.634475 | + | 0.366315i | 0.782483 | − | 0.622672i | \(-0.213953\pi\) |
−0.148008 | + | 0.988986i | \(0.547286\pi\) | |||||||
\(242\) | −2.03623 | + | 2.29656i | −0.130894 | + | 0.147629i | ||||
\(243\) | 5.75706 | − | 3.32384i | 0.369316 | − | 0.213225i | ||||
\(244\) | −9.67739 | − | 4.13237i | −0.619532 | − | 0.264548i | ||||
\(245\) | −6.70926 | − | 1.99644i | −0.428639 | − | 0.127548i | ||||
\(246\) | 1.21759 | + | 0.249083i | 0.0776304 | + | 0.0158810i | ||||
\(247\) | −29.4435 | + | 16.9992i | −1.87345 | + | 1.08164i | ||||
\(248\) | −13.9262 | + | 6.58747i | −0.884317 | + | 0.418304i | ||||
\(249\) | 0.729568 | − | 1.26365i | 0.0462345 | − | 0.0800805i | ||||
\(250\) | 0.447296 | + | 1.34161i | 0.0282895 | + | 0.0848511i | ||||
\(251\) | − | 8.98434i | − | 0.567087i | −0.958959 | − | 0.283543i | \(-0.908490\pi\) | ||
0.958959 | − | 0.283543i | \(-0.0915100\pi\) | |||||||
\(252\) | 0.381901 | − | 15.5300i | 0.0240575 | − | 0.978300i | ||||
\(253\) | 0.968827i | 0.0609096i | ||||||||
\(254\) | −11.3249 | + | 3.77573i | −0.710586 | + | 0.236910i | ||||
\(255\) | −0.653908 | + | 1.13260i | −0.0409493 | + | 0.0709263i | ||||
\(256\) | −13.4954 | − | 8.59500i | −0.843463 | − | 0.537188i | ||||
\(257\) | −2.10401 | + | 1.21475i | −0.131244 | + | 0.0757740i | −0.564185 | − | 0.825649i | \(-0.690809\pi\) |
0.432940 | + | 0.901423i | \(0.357476\pi\) | |||||||
\(258\) | −0.383512 | + | 1.87471i | −0.0238764 | + | 0.116714i | ||||
\(259\) | −17.9451 | − | 14.1649i | −1.11506 | − | 0.880164i | ||||
\(260\) | 9.86058 | + | 4.21059i | 0.611527 | + | 0.261130i | ||||
\(261\) | 7.61842 | − | 4.39850i | 0.471568 | − | 0.272260i | ||||
\(262\) | 5.80339 | + | 5.14553i | 0.358534 | + | 0.317892i | ||||
\(263\) | 1.99243 | + | 1.15033i | 0.122858 | + | 0.0709323i | 0.560170 | − | 0.828378i | \(-0.310736\pi\) |
−0.437311 | + | 0.899310i | \(0.644069\pi\) | |||||||
\(264\) | −2.59240 | − | 0.212435i | −0.159551 | − | 0.0130745i | ||||
\(265\) | − | 3.57617i | − | 0.219682i | ||||||
\(266\) | −8.05628 | + | 22.3196i | −0.493962 | + | 1.36850i | ||||
\(267\) | −1.39718 | −0.0855060 | ||||||||
\(268\) | 0.461538 | + | 3.82688i | 0.0281929 | + | 0.233764i | ||||
\(269\) | −0.609154 | + | 1.05509i | −0.0371408 | + | 0.0643297i | −0.883998 | − | 0.467490i | \(-0.845158\pi\) |
0.846857 | + | 0.531820i | \(0.178492\pi\) | |||||||
\(270\) | 1.59166 | + | 1.41123i | 0.0968651 | + | 0.0858847i | ||||
\(271\) | −12.1092 | − | 20.9738i | −0.735582 | − | 1.27406i | −0.954468 | − | 0.298314i | \(-0.903576\pi\) |
0.218886 | − | 0.975750i | \(-0.429758\pi\) | |||||||
\(272\) | −14.9115 | + | 14.2766i | −0.904145 | + | 0.865645i | ||||
\(273\) | 0.517954 | − | 3.55671i | 0.0313480 | − | 0.215262i | ||||
\(274\) | −11.6739 | − | 2.38814i | −0.705243 | − | 0.144273i | ||||
\(275\) | 1.81455 | + | 3.14289i | 0.109421 | + | 0.189523i | ||||
\(276\) | −0.108228 | + | 0.0811920i | −0.00651459 | + | 0.00488719i | ||||
\(277\) | 7.22720 | + | 4.17263i | 0.434240 | + | 0.250709i | 0.701151 | − | 0.713012i | \(-0.252670\pi\) |
−0.266911 | + | 0.963721i | \(0.586003\pi\) | |||||||
\(278\) | −15.5401 | + | 5.18110i | −0.932035 | + | 0.310742i | ||||
\(279\) | 15.9904 | 0.957322 | ||||||||
\(280\) | 7.15519 | − | 2.19163i | 0.427605 | − | 0.130975i | ||||
\(281\) | 19.8252 | 1.18267 | 0.591337 | − | 0.806425i | \(-0.298600\pi\) | ||||
0.591337 | + | 0.806425i | \(0.298600\pi\) | |||||||
\(282\) | 1.53914 | − | 0.513150i | 0.0916542 | − | 0.0305576i | ||||
\(283\) | −8.33705 | − | 4.81340i | −0.495586 | − | 0.286127i | 0.231303 | − | 0.972882i | \(-0.425701\pi\) |
−0.726889 | + | 0.686755i | \(0.759035\pi\) | |||||||
\(284\) | 19.1214 | + | 25.4887i | 1.13465 | + | 1.51248i | ||||
\(285\) | −0.803524 | − | 1.39174i | −0.0475966 | − | 0.0824398i | ||||
\(286\) | 26.9559 | + | 5.51440i | 1.59394 | + | 0.326073i | ||||
\(287\) | −8.52427 | + | 3.39470i | −0.503172 | + | 0.200383i | ||||
\(288\) | 8.84774 | + | 14.0542i | 0.521358 | + | 0.828151i | ||||
\(289\) | 4.81796 | + | 8.34495i | 0.283409 | + | 0.490879i | ||||
\(290\) | 3.17079 | + | 2.81136i | 0.186195 | + | 0.165089i | ||||
\(291\) | 1.01168 | − | 1.75228i | 0.0593058 | − | 0.102721i | ||||
\(292\) | −16.3335 | + | 1.96989i | −0.955844 | + | 0.115279i | ||||
\(293\) | −0.487956 | −0.0285067 | −0.0142534 | − | 0.999898i | \(-0.504537\pi\) | ||||
−0.0142534 | + | 0.999898i | \(0.504537\pi\) | |||||||
\(294\) | −1.32441 | − | 2.13046i | −0.0772410 | − | 0.124251i | ||||
\(295\) | 7.89225i | 0.459505i | ||||||||
\(296\) | 24.3589 | + | 1.99609i | 1.41583 | + | 0.116021i | ||||
\(297\) | 4.72737 | + | 2.72935i | 0.274310 | + | 0.158373i | ||||
\(298\) | −12.2312 | − | 10.8447i | −0.708534 | − | 0.628216i | ||||
\(299\) | 1.23943 | − | 0.715586i | 0.0716782 | − | 0.0413834i | ||||
\(300\) | −0.199027 | + | 0.466092i | −0.0114908 | + | 0.0269098i | ||||
\(301\) | −5.22680 | − | 13.1248i | −0.301268 | − | 0.756499i | ||||
\(302\) | −4.56052 | + | 22.2930i | −0.262428 | + | 1.28282i | ||||
\(303\) | 2.08470 | − | 1.20360i | 0.119763 | − | 0.0691453i | ||||
\(304\) | −6.03111 | − | 24.6400i | −0.345908 | − | 1.41320i | ||||
\(305\) | −2.63069 | + | 4.55649i | −0.150633 | + | 0.260904i | ||||
\(306\) | 20.3276 | − | 6.77724i | 1.16205 | − | 0.387429i | ||||
\(307\) | − | 11.8335i | − | 0.675376i | −0.941258 | − | 0.337688i | \(-0.890355\pi\) | ||
0.941258 | − | 0.337688i | \(-0.109645\pi\) | |||||||
\(308\) | 16.8616 | − | 9.18993i | 0.960779 | − | 0.523645i | ||||
\(309\) | − | 1.90105i | − | 0.108147i | ||||||
\(310\) | 2.43630 | + | 7.30740i | 0.138372 | + | 0.415032i | ||||
\(311\) | −2.29486 | + | 3.97481i | −0.130129 | + | 0.225391i | −0.923726 | − | 0.383053i | \(-0.874873\pi\) |
0.793597 | + | 0.608444i | \(0.208206\pi\) | |||||||
\(312\) | 1.64301 | + | 3.47340i | 0.0930169 | + | 0.196642i | ||||
\(313\) | 17.7907 | − | 10.2714i | 1.00559 | − | 0.580577i | 0.0956913 | − | 0.995411i | \(-0.469494\pi\) |
0.909897 | + | 0.414834i | \(0.136160\pi\) | |||||||
\(314\) | 2.98978 | + | 0.611622i | 0.168723 | + | 0.0345159i | ||||
\(315\) | −7.68629 | − | 1.11933i | −0.433073 | − | 0.0630673i | ||||
\(316\) | −9.01726 | + | 21.1171i | −0.507260 | + | 1.18793i | ||||
\(317\) | −6.76332 | + | 3.90481i | −0.379866 | + | 0.219316i | −0.677760 | − | 0.735283i | \(-0.737049\pi\) |
0.297894 | + | 0.954599i | \(0.403716\pi\) | |||||||
\(318\) | 0.850232 | − | 0.958935i | 0.0476786 | − | 0.0537744i | ||||
\(319\) | 9.41755 | + | 5.43723i | 0.527282 | + | 0.304426i | ||||
\(320\) | −5.07453 | + | 6.18459i | −0.283675 | + | 0.345729i | ||||
\(321\) | 1.89419i | 0.105724i | ||||||||
\(322\) | 0.339131 | − | 0.939546i | 0.0188990 | − | 0.0523589i | ||||
\(323\) | −32.7303 | −1.82116 | ||||||||
\(324\) | −2.01785 | − | 16.7312i | −0.112103 | − | 0.929509i | ||||
\(325\) | 2.68049 | − | 4.64274i | 0.148687 | − | 0.257533i | ||||
\(326\) | 1.12300 | − | 1.26658i | 0.0621975 | − | 0.0701495i | ||||
\(327\) | −2.47066 | − | 4.27931i | −0.136628 | − | 0.236646i | ||||
\(328\) | 5.58183 | − | 8.06580i | 0.308205 | − | 0.445359i | ||||
\(329\) | −7.42137 | + | 9.40195i | −0.409153 | + | 0.518346i | ||||
\(330\) | −0.260656 | + | 1.27416i | −0.0143486 | + | 0.0701401i | ||||
\(331\) | 6.35126 | + | 11.0007i | 0.349097 | + | 0.604654i | 0.986089 | − | 0.166216i | \(-0.0531550\pi\) |
−0.636992 | + | 0.770870i | \(0.719822\pi\) | |||||||
\(332\) | −6.91090 | − | 9.21219i | −0.379285 | − | 0.505584i | ||||
\(333\) | −21.9695 | − | 12.6841i | −1.20392 | − | 0.695085i | ||||
\(334\) | −5.84268 | − | 17.5245i | −0.319697 | − | 0.958897i | ||||
\(335\) | 1.92731 | 0.105300 | ||||||||
\(336\) | 2.43969 | + | 1.11347i | 0.133096 | + | 0.0607446i | ||||
\(337\) | 13.8789 | 0.756033 | 0.378016 | − | 0.925799i | \(-0.376606\pi\) | ||||
0.378016 | + | 0.925799i | \(0.376606\pi\) | |||||||
\(338\) | −7.04044 | − | 21.1170i | −0.382949 | − | 1.14861i | ||||
\(339\) | 4.56852 | + | 2.63763i | 0.248128 | + | 0.143257i | ||||
\(340\) | 6.19421 | + | 8.25684i | 0.335928 | + | 0.447790i | ||||
\(341\) | 9.88333 | + | 17.1184i | 0.535213 | + | 0.927015i | ||||
\(342\) | −5.27713 | + | 25.7960i | −0.285354 | + | 1.39489i | ||||
\(343\) | 16.8046 | + | 7.78501i | 0.907362 | + | 0.420351i | ||||
\(344\) | 12.4189 | + | 8.59431i | 0.669580 | + | 0.463374i | ||||
\(345\) | 0.0338245 | + | 0.0585857i | 0.00182105 | + | 0.00315415i | ||||
\(346\) | −23.1941 | + | 26.1595i | −1.24692 | + | 1.40634i | ||||
\(347\) | −6.43516 | + | 11.1460i | −0.345457 | + | 0.598350i | −0.985437 | − | 0.170042i | \(-0.945610\pi\) |
0.639979 | + | 0.768392i | \(0.278943\pi\) | |||||||
\(348\) | 0.181836 | + | 1.50771i | 0.00974743 | + | 0.0808216i | ||||
\(349\) | −21.0526 | −1.12692 | −0.563460 | − | 0.826143i | \(-0.690530\pi\) | ||||
−0.563460 | + | 0.826143i | \(0.690530\pi\) | |||||||
\(350\) | −0.659561 | − | 3.68307i | −0.0352550 | − | 0.196868i | ||||
\(351\) | − | 8.06371i | − | 0.430409i | ||||||
\(352\) | −9.57702 | + | 18.1585i | −0.510457 | + | 0.967850i | ||||
\(353\) | −25.8483 | − | 14.9235i | −1.37577 | − | 0.794298i | −0.384119 | − | 0.923284i | \(-0.625495\pi\) |
−0.991647 | + | 0.128985i | \(0.958828\pi\) | |||||||
\(354\) | −1.87638 | + | 2.11627i | −0.0997283 | + | 0.112479i | ||||
\(355\) | 13.7974 | − | 7.96595i | 0.732292 | − | 0.422789i | ||||
\(356\) | −4.33051 | + | 10.1414i | −0.229517 | + | 0.537493i | ||||
\(357\) | 2.14385 | − | 2.71599i | 0.113465 | − | 0.143745i | ||||
\(358\) | 17.9565 | + | 3.67338i | 0.949030 | + | 0.194144i | ||||
\(359\) | −16.5346 | + | 9.54628i | −0.872665 | + | 0.503833i | −0.868233 | − | 0.496157i | \(-0.834744\pi\) |
−0.00443178 | + | 0.999990i | \(0.501411\pi\) | |||||||
\(360\) | 7.50624 | − | 3.55065i | 0.395614 | − | 0.187135i | ||||
\(361\) | 10.6095 | − | 18.3762i | 0.558396 | − | 0.967169i | ||||
\(362\) | 4.72636 | + | 14.1762i | 0.248412 | + | 0.745084i | ||||
\(363\) | 0.549963i | 0.0288656i | ||||||||
\(364\) | −24.2109 | − | 14.7835i | −1.26900 | − | 0.774864i | ||||
\(365\) | 8.22591i | 0.430564i | ||||||||
\(366\) | −1.78871 | + | 0.596358i | −0.0934974 | + | 0.0311721i | ||||
\(367\) | −4.90832 | + | 8.50146i | −0.256212 | + | 0.443773i | −0.965224 | − | 0.261424i | \(-0.915808\pi\) |
0.709012 | + | 0.705197i | \(0.249141\pi\) | |||||||
\(368\) | 0.253881 | + | 1.03723i | 0.0132344 | + | 0.0540692i | ||||
\(369\) | −8.81717 | + | 5.09059i | −0.459003 | + | 0.265006i | ||||
\(370\) | 2.44919 | − | 11.9723i | 0.127327 | − | 0.622411i | ||||
\(371\) | −1.36349 | + | 9.36290i | −0.0707890 | + | 0.486097i | ||||
\(372\) | −1.08405 | + | 2.53868i | −0.0562052 | + | 0.131624i | ||||
\(373\) | 20.2929 | − | 11.7161i | 1.05072 | − | 0.606636i | 0.127873 | − | 0.991791i | \(-0.459185\pi\) |
0.922852 | + | 0.385154i | \(0.125852\pi\) | |||||||
\(374\) | 19.8194 | + | 17.5727i | 1.02483 | + | 0.908662i | ||||
\(375\) | 0.219454 | + | 0.126702i | 0.0113326 | + | 0.00654286i | ||||
\(376\) | 1.04581 | − | 12.7623i | 0.0539334 | − | 0.658164i | ||||
\(377\) | − | 16.0640i | − | 0.827337i | ||||||
\(378\) | −3.62911 | − | 4.30164i | −0.186661 | − | 0.221253i | ||||
\(379\) | 10.7259 | 0.550954 | 0.275477 | − | 0.961308i | \(-0.411164\pi\) | ||||
0.275477 | + | 0.961308i | \(0.411164\pi\) | |||||||
\(380\) | −12.5924 | + | 1.51870i | −0.645979 | + | 0.0779078i | ||||
\(381\) | −1.06952 | + | 1.85246i | −0.0547932 | + | 0.0949046i | ||||
\(382\) | 4.19081 | + | 3.71575i | 0.214420 | + | 0.190114i | ||||
\(383\) | −0.700673 | − | 1.21360i | −0.0358027 | − | 0.0620122i | 0.847569 | − | 0.530686i | \(-0.178065\pi\) |
−0.883372 | + | 0.468673i | \(0.844732\pi\) | |||||||
\(384\) | −2.83110 | + | 0.451905i | −0.144474 | + | 0.0230612i | ||||
\(385\) | −3.55243 | − | 8.92033i | −0.181049 | − | 0.454622i | ||||
\(386\) | −19.7999 | − | 4.05049i | −1.00779 | − | 0.206165i | ||||
\(387\) | −7.83796 | − | 13.5757i | −0.398426 | − | 0.690094i | ||||
\(388\) | −9.58325 | − | 12.7744i | −0.486516 | − | 0.648522i | ||||
\(389\) | −2.49049 | − | 1.43789i | −0.126273 | − | 0.0729037i | 0.435533 | − | 0.900173i | \(-0.356560\pi\) |
−0.561806 | + | 0.827269i | \(0.689893\pi\) | |||||||
\(390\) | 1.82257 | − | 0.607647i | 0.0922893 | − | 0.0307694i | ||||
\(391\) | 1.37779 | 0.0696777 | ||||||||
\(392\) | −19.5689 | + | 3.00990i | −0.988377 | + | 0.152023i | ||||
\(393\) | 1.38975 | 0.0701036 | ||||||||
\(394\) | 5.43652 | − | 1.81254i | 0.273888 | − | 0.0913146i | ||||
\(395\) | 9.94273 | + | 5.74044i | 0.500273 | + | 0.288833i | ||||
\(396\) | 17.0452 | − | 12.7872i | 0.856554 | − | 0.642579i | ||||
\(397\) | 1.26251 | + | 2.18672i | 0.0633633 | + | 0.109749i | 0.895967 | − | 0.444121i | \(-0.146484\pi\) |
−0.832603 | + | 0.553870i | \(0.813151\pi\) | |||||||
\(398\) | −3.79965 | − | 0.777300i | −0.190459 | − | 0.0389625i | ||||
\(399\) | 1.57310 | + | 3.95014i | 0.0787536 | + | 0.197754i | ||||
\(400\) | 2.76624 | + | 2.88927i | 0.138312 | + | 0.144464i | ||||
\(401\) | −19.3792 | − | 33.5657i | −0.967749 | − | 1.67619i | −0.702041 | − | 0.712136i | \(-0.747728\pi\) |
−0.265707 | − | 0.964054i | \(-0.585606\pi\) | |||||||
\(402\) | 0.516799 | + | 0.458216i | 0.0257756 | + | 0.0228537i | ||||
\(403\) | 14.5999 | − | 25.2877i | 0.727271 | − | 1.25967i | ||||
\(404\) | −2.27488 | − | 18.8623i | −0.113179 | − | 0.938435i | ||||
\(405\) | −8.42620 | −0.418701 | ||||||||
\(406\) | −7.22967 | − | 8.56945i | −0.358802 | − | 0.425294i | ||||
\(407\) | − | 31.3591i | − | 1.55441i | ||||||
\(408\) | −0.302108 | + | 3.68671i | −0.0149566 | + | 0.182519i | ||||
\(409\) | 2.68850 | + | 1.55221i | 0.132938 | + | 0.0767518i | 0.564994 | − | 0.825095i | \(-0.308878\pi\) |
−0.432056 | + | 0.901847i | \(0.642212\pi\) | |||||||
\(410\) | −3.66971 | − | 3.25372i | −0.181234 | − | 0.160690i | ||||
\(411\) | −1.84904 | + | 1.06754i | −0.0912062 | + | 0.0526579i | ||||
\(412\) | −13.7987 | − | 5.89223i | −0.679815 | − | 0.290289i | ||||
\(413\) | 3.00909 | − | 20.6630i | 0.148068 | − | 1.01676i | ||||
\(414\) | 0.222142 | − | 1.08589i | 0.0109177 | − | 0.0533685i | ||||
\(415\) | −4.98670 | + | 2.87907i | −0.244787 | + | 0.141328i | ||||
\(416\) | 30.3040 | − | 1.16006i | 1.48578 | − | 0.0568766i | ||||
\(417\) | −1.46761 | + | 2.54197i | −0.0718691 | + | 0.124481i | ||||
\(418\) | −30.8774 | + | 10.2946i | −1.51026 | + | 0.503524i | ||||
\(419\) | 11.1649i | 0.545441i | 0.962093 | + | 0.272720i | \(0.0879234\pi\) | ||||
−0.962093 | + | 0.272720i | \(0.912077\pi\) | |||||||
\(420\) | 0.698788 | − | 1.14441i | 0.0340974 | − | 0.0558414i | ||||
\(421\) | 35.1106i | 1.71119i | 0.517648 | + | 0.855594i | \(0.326808\pi\) | ||||
−0.517648 | + | 0.855594i | \(0.673192\pi\) | |||||||
\(422\) | 1.07848 | + | 3.23479i | 0.0524997 | + | 0.157467i | ||||
\(423\) | −6.64555 | + | 11.5104i | −0.323118 | + | 0.559656i | ||||
\(424\) | −4.32515 | − | 9.14358i | −0.210048 | − | 0.444051i | ||||
\(425\) | 4.46956 | − | 2.58050i | 0.216805 | − | 0.125173i | ||||
\(426\) | 5.59362 | + | 1.14429i | 0.271012 | + | 0.0554413i | ||||
\(427\) | 8.62476 | − | 10.9265i | 0.417381 | − | 0.528770i | ||||
\(428\) | 13.7490 | + | 5.87099i | 0.664582 | + | 0.283785i | ||||
\(429\) | 4.26958 | − | 2.46504i | 0.206137 | − | 0.119013i | ||||
\(430\) | 5.00973 | − | 5.65023i | 0.241591 | − | 0.272478i | ||||
\(431\) | 12.4675 | + | 7.19809i | 0.600536 | + | 0.346720i | 0.769253 | − | 0.638945i | \(-0.220629\pi\) |
−0.168716 | + | 0.985665i | \(0.553962\pi\) | |||||||
\(432\) | 5.77635 | + | 1.68324i | 0.277915 | + | 0.0809847i | ||||
\(433\) | 36.8668i | 1.77171i | 0.463967 | + | 0.885853i | \(0.346426\pi\) | ||||
−0.463967 | + | 0.885853i | \(0.653574\pi\) | |||||||
\(434\) | −3.59245 | − | 20.0607i | −0.172443 | − | 0.962942i | ||||
\(435\) | 0.759316 | 0.0364064 | ||||||||
\(436\) | −38.7190 | + | 4.66968i | −1.85430 | + | 0.223637i | ||||
\(437\) | −0.846514 | + | 1.46621i | −0.0404943 | + | 0.0701381i | ||||
\(438\) | −1.95570 | + | 2.20574i | −0.0934472 | + | 0.105394i | ||||
\(439\) | −18.4785 | − | 32.0057i | −0.881930 | − | 1.52755i | −0.849193 | − | 0.528083i | \(-0.822911\pi\) |
−0.0327369 | − | 0.999464i | \(-0.510422\pi\) | |||||||
\(440\) | 8.44056 | + | 5.84118i | 0.402388 | + | 0.278467i | ||||
\(441\) | 19.6970 | + | 5.86113i | 0.937951 | + | 0.279101i | ||||
\(442\) | 7.84214 | − | 38.3345i | 0.373012 | − | 1.82339i | ||||
\(443\) | 10.7895 | + | 18.6880i | 0.512626 | + | 0.887895i | 0.999893 | + | 0.0146414i | \(0.00466067\pi\) |
−0.487267 | + | 0.873253i | \(0.662006\pi\) | |||||||
\(444\) | 3.50315 | − | 2.62803i | 0.166252 | − | 0.124721i | ||||
\(445\) | 4.77496 | + | 2.75683i | 0.226355 | + | 0.130686i | ||||
\(446\) | −8.89414 | − | 26.6770i | −0.421150 | − | 1.26319i | ||||
\(447\) | −2.92903 | −0.138538 | ||||||||
\(448\) | 15.6438 | − | 14.2573i | 0.739101 | − | 0.673595i | ||||
\(449\) | −31.7876 | −1.50015 | −0.750075 | − | 0.661353i | \(-0.769983\pi\) | ||||
−0.750075 | + | 0.661353i | \(0.769983\pi\) | |||||||
\(450\) | −1.31316 | − | 3.93869i | −0.0619032 | − | 0.185672i | ||||
\(451\) | −10.8994 | − | 6.29277i | −0.513233 | − | 0.296315i | ||||
\(452\) | 33.3052 | − | 24.9852i | 1.56654 | − | 1.17521i | ||||
\(453\) | 2.03864 | + | 3.53102i | 0.0957835 | + | 0.165902i | ||||
\(454\) | 7.01909 | − | 34.3112i | 0.329422 | − | 1.61031i | ||||
\(455\) | −8.78802 | + | 11.1333i | −0.411989 | + | 0.521938i | ||||
\(456\) | −3.73768 | − | 2.58661i | −0.175033 | − | 0.121129i | ||||
\(457\) | 11.5642 | + | 20.0298i | 0.540950 | + | 0.936954i | 0.998850 | + | 0.0479496i | \(0.0152687\pi\) |
−0.457899 | + | 0.889004i | \(0.651398\pi\) | |||||||
\(458\) | −11.2247 | + | 12.6598i | −0.524494 | + | 0.591551i | ||||
\(459\) | 3.88146 | − | 6.72289i | 0.181171 | − | 0.313797i | ||||
\(460\) | 0.530081 | − | 0.0639301i | 0.0247152 | − | 0.00298076i | ||||
\(461\) | 9.98126 | 0.464874 | 0.232437 | − | 0.972611i | \(-0.425330\pi\) | ||||
0.232437 | + | 0.972611i | \(0.425330\pi\) | |||||||
\(462\) | 1.16823 | − | 3.23654i | 0.0543512 | − | 0.150577i | ||||
\(463\) | 24.3501i | 1.13165i | 0.824527 | + | 0.565823i | \(0.191442\pi\) | ||||
−0.824527 | + | 0.565823i | \(0.808558\pi\) | |||||||
\(464\) | 11.5073 | + | 3.35323i | 0.534211 | + | 0.155670i | ||||
\(465\) | 1.19531 | + | 0.690110i | 0.0554310 | + | 0.0320031i | ||||
\(466\) | 10.4135 | − | 11.7448i | 0.482394 | − | 0.544069i | ||||
\(467\) | −22.6077 | + | 13.0525i | −1.04616 | + | 0.604000i | −0.921571 | − | 0.388209i | \(-0.873094\pi\) |
−0.124587 | + | 0.992209i | \(0.539761\pi\) | |||||||
\(468\) | −28.9485 | − | 12.3614i | −1.33815 | − | 0.571406i | ||||
\(469\) | −5.04595 | − | 0.734828i | −0.233000 | − | 0.0339312i | ||||
\(470\) | −6.27262 | − | 1.28320i | −0.289334 | − | 0.0591895i | ||||
\(471\) | 0.473554 | − | 0.273407i | 0.0218202 | − | 0.0125979i | ||||
\(472\) | 9.54517 | + | 20.1790i | 0.439352 | + | 0.928812i | ||||
\(473\) | 9.68894 | − | 16.7817i | 0.445498 | − | 0.771625i | ||||
\(474\) | 1.30131 | + | 3.90315i | 0.0597714 | + | 0.179278i | ||||
\(475\) | 6.34185i | 0.290984i | ||||||||
\(476\) | −13.0692 | − | 23.9792i | −0.599025 | − | 1.09909i | ||||
\(477\) | 10.4989i | 0.480710i | ||||||||
\(478\) | −33.2951 | + | 11.1006i | −1.52288 | + | 0.507731i | ||||
\(479\) | −3.24704 | + | 5.62403i | −0.148361 | + | 0.256969i | −0.930622 | − | 0.365982i | \(-0.880733\pi\) |
0.782261 | + | 0.622951i | \(0.214066\pi\) | |||||||
\(480\) | 0.0548340 | + | 1.43242i | 0.00250282 | + | 0.0653807i | ||||
\(481\) | −40.1181 | + | 23.1622i | −1.82923 | + | 1.05610i | ||||
\(482\) | 3.22366 | − | 15.7582i | 0.146834 | − | 0.717764i | ||||
\(483\) | −0.0662200 | − | 0.166282i | −0.00301311 | − | 0.00756608i | ||||
\(484\) | 3.99190 | + | 1.70459i | 0.181450 | + | 0.0774814i | ||||
\(485\) | −6.91499 | + | 3.99237i | −0.313993 | + | 0.181284i | ||||
\(486\) | −7.03442 | − | 6.23701i | −0.319088 | − | 0.282917i | ||||
\(487\) | 0.244780 | + | 0.141324i | 0.0110921 | + | 0.00640400i | 0.505536 | − | 0.862806i | \(-0.331295\pi\) |
−0.494444 | + | 0.869210i | \(0.664628\pi\) | |||||||
\(488\) | −1.21539 | + | 14.8317i | −0.0550180 | + | 0.671400i | ||||
\(489\) | − | 0.303311i | − | 0.0137162i | ||||||
\(490\) | 0.322569 | + | 9.89424i | 0.0145722 | + | 0.446976i | ||||
\(491\) | 18.1902 | 0.820912 | 0.410456 | − | 0.911880i | \(-0.365370\pi\) | ||||
0.410456 | + | 0.911880i | \(0.365370\pi\) | |||||||
\(492\) | −0.210448 | − | 1.74494i | −0.00948771 | − | 0.0786681i | ||||
\(493\) | 7.73239 | − | 13.3929i | 0.348249 | − | 0.603185i | ||||
\(494\) | 35.9764 | + | 31.8982i | 1.61865 | + | 1.43517i | ||||
\(495\) | −5.32712 | − | 9.22684i | −0.239436 | − | 0.414716i | ||||
\(496\) | 15.0670 | + | 15.7371i | 0.676527 | + | 0.706616i | ||||
\(497\) | −39.1607 | + | 15.5954i | −1.75660 | + | 0.699548i | ||||
\(498\) | −2.02166 | − | 0.413573i | −0.0905927 | − | 0.0185327i | ||||
\(499\) | −0.608016 | − | 1.05312i | −0.0272185 | − | 0.0471439i | 0.852095 | − | 0.523387i | \(-0.175332\pi\) |
−0.879314 | + | 0.476243i | \(0.841998\pi\) | |||||||
\(500\) | 1.59985 | − | 1.20020i | 0.0715476 | − | 0.0536744i | ||||
\(501\) | −2.86656 | − | 1.65501i | −0.128069 | − | 0.0739404i | ||||
\(502\) | −12.0535 | + | 4.01866i | −0.537975 | + | 0.179361i | ||||
\(503\) | 37.9355 | 1.69146 | 0.845729 | − | 0.533612i | \(-0.179166\pi\) | ||||
0.845729 | + | 0.533612i | \(0.179166\pi\) | |||||||
\(504\) | −21.0061 | + | 6.43415i | −0.935687 | + | 0.286600i | ||||
\(505\) | −9.49950 | −0.422722 | ||||||||
\(506\) | 1.29979 | − | 0.433352i | 0.0577828 | − | 0.0192648i | ||||
\(507\) | −3.45421 | − | 1.99429i | −0.153407 | − | 0.0885695i | ||||
\(508\) | 10.1311 | + | 13.5047i | 0.449496 | + | 0.599176i | ||||
\(509\) | 5.30256 | + | 9.18430i | 0.235032 | + | 0.407087i | 0.959282 | − | 0.282450i | \(-0.0911473\pi\) |
−0.724250 | + | 0.689537i | \(0.757814\pi\) | |||||||
\(510\) | 1.81200 | + | 0.370684i | 0.0802369 | + | 0.0164142i | ||||
\(511\) | 3.13631 | − | 21.5365i | 0.138742 | − | 0.952721i | ||||
\(512\) | −5.49474 | + | 21.9501i | −0.242835 | + | 0.970068i | ||||
\(513\) | 4.76955 | + | 8.26110i | 0.210581 | + | 0.364736i | ||||
\(514\) | 2.57084 | + | 2.27941i | 0.113395 | + | 0.100541i | ||||
\(515\) | −3.75103 | + | 6.49697i | −0.165290 | + | 0.286291i | ||||
\(516\) | 2.68668 | − | 0.324025i | 0.118274 | − | 0.0142644i | ||||
\(517\) | −16.4299 | −0.722585 | ||||||||
\(518\) | −10.9770 | + | 30.4113i | −0.482303 | + | 1.33620i | ||||
\(519\) | 6.26448i | 0.274980i | ||||||||
\(520\) | 1.23839 | − | 15.1125i | 0.0543072 | − | 0.662725i | ||||
\(521\) | −1.18563 | − | 0.684522i | −0.0519432 | − | 0.0299894i | 0.473803 | − | 0.880631i | \(-0.342881\pi\) |
−0.525747 | + | 0.850641i | \(0.676214\pi\) | |||||||
\(522\) | −9.30876 | − | 8.25354i | −0.407434 | − | 0.361248i | ||||
\(523\) | −1.24052 | + | 0.716212i | −0.0542439 | + | 0.0313178i | −0.526877 | − | 0.849942i | \(-0.676637\pi\) |
0.472633 | + | 0.881259i | \(0.343304\pi\) | |||||||
\(524\) | 4.30748 | − | 10.0875i | 0.188173 | − | 0.440673i | ||||
\(525\) | −0.526253 | − | 0.415394i | −0.0229675 | − | 0.0181293i | ||||
\(526\) | 0.652092 | − | 3.18761i | 0.0284326 | − | 0.138986i | ||||
\(527\) | 24.3445 | − | 14.0553i | 1.06046 | − | 0.612257i | ||||
\(528\) | 0.874565 | + | 3.57302i | 0.0380606 | + | 0.155496i | ||||
\(529\) | −11.4644 | + | 19.8569i | −0.498451 | + | 0.863342i | ||||
\(530\) | −4.79784 | + | 1.59960i | −0.208405 | + | 0.0694824i | ||||
\(531\) | − | 23.1700i | − | 1.00549i | ||||||
\(532\) | 33.5478 | + | 0.824978i | 1.45448 | + | 0.0357673i | ||||
\(533\) | 18.5916i | 0.805293i | ||||||||
\(534\) | 0.624952 | + | 1.87448i | 0.0270443 | + | 0.0811165i | ||||
\(535\) | 3.73750 | − | 6.47354i | 0.161586 | − | 0.279876i | ||||
\(536\) | 4.92775 | − | 2.33095i | 0.212847 | − | 0.100682i | ||||
\(537\) | 2.84415 | − | 1.64207i | 0.122734 | − | 0.0708606i | ||||
\(538\) | 1.68799 | + | 0.345314i | 0.0727744 | + | 0.0148876i | ||||
\(539\) | 5.89967 | + | 24.7091i | 0.254117 | + | 1.06430i | ||||
\(540\) | 1.18138 | − | 2.76662i | 0.0508387 | − | 0.119057i | ||||
\(541\) | 1.20272 | − | 0.694390i | 0.0517089 | − | 0.0298542i | −0.473923 | − | 0.880566i | \(-0.657162\pi\) |
0.525632 | + | 0.850712i | \(0.323829\pi\) | |||||||
\(542\) | −22.7223 | + | 25.6273i | −0.976005 | + | 1.10079i | ||||
\(543\) | 2.31887 | + | 1.33880i | 0.0995120 | + | 0.0574533i | ||||
\(544\) | 25.8235 | + | 13.6197i | 1.10717 | + | 0.583938i | ||||
\(545\) | 19.4998i | 0.835279i | ||||||||
\(546\) | −5.00341 | + | 0.896007i | −0.214126 | + | 0.0383455i | ||||
\(547\) | 43.0700 | 1.84154 | 0.920770 | − | 0.390106i | \(-0.127562\pi\) | ||||
0.920770 | + | 0.390106i | \(0.127562\pi\) | |||||||
\(548\) | 2.01771 | + | 16.7300i | 0.0861923 | + | 0.714670i | ||||
\(549\) | 7.72314 | − | 13.3769i | 0.329616 | − | 0.570911i | ||||
\(550\) | 3.40490 | − | 3.84022i | 0.145185 | − | 0.163747i | ||||
\(551\) | 9.50157 | + | 16.4572i | 0.404781 | + | 0.701100i | ||||
\(552\) | 0.157338 | + | 0.108884i | 0.00669677 | + | 0.00463441i | ||||
\(553\) | −23.8427 | − | 18.8201i | −1.01390 | − | 0.800313i | ||||
\(554\) | 2.36536 | − | 11.5625i | 0.100494 | − | 0.491244i | ||||
\(555\) | −1.09484 | − | 1.89631i | −0.0464732 | − | 0.0804939i | ||||
\(556\) | 13.9021 | + | 18.5314i | 0.589579 | + | 0.785905i | ||||
\(557\) | 20.0779 | + | 11.5920i | 0.850727 | + | 0.491167i | 0.860896 | − | 0.508781i | \(-0.169904\pi\) |
−0.0101693 | + | 0.999948i | \(0.503237\pi\) | |||||||
\(558\) | −7.15245 | − | 21.4530i | −0.302787 | − | 0.908177i | ||||
\(559\) | −28.6254 | −1.21073 | ||||||||
\(560\) | −6.14080 | − | 8.61920i | −0.259496 | − | 0.364228i | ||||
\(561\) | 4.74619 | 0.200384 | ||||||||
\(562\) | −8.86774 | − | 26.5978i | −0.374063 | − | 1.12196i | ||||
\(563\) | 20.3256 | + | 11.7350i | 0.856620 | + | 0.494570i | 0.862879 | − | 0.505410i | \(-0.168659\pi\) |
−0.00625865 | + | 0.999980i | \(0.501992\pi\) | |||||||
\(564\) | −1.37690 | − | 1.83540i | −0.0579778 | − | 0.0772841i | ||||
\(565\) | −10.4088 | − | 18.0286i | −0.437902 | − | 0.758469i | ||||
\(566\) | −2.72859 | + | 13.3381i | −0.114691 | + | 0.560643i | ||||
\(567\) | 22.0609 | + | 3.21268i | 0.926472 | + | 0.134920i | ||||
\(568\) | 25.6431 | − | 37.0545i | 1.07596 | − | 1.55477i | ||||
\(569\) | 1.75158 | + | 3.03382i | 0.0734300 | + | 0.127185i | 0.900402 | − | 0.435058i | \(-0.143272\pi\) |
−0.826972 | + | 0.562242i | \(0.809939\pi\) | |||||||
\(570\) | −1.50777 | + | 1.70054i | −0.0631535 | + | 0.0712278i | ||||
\(571\) | −6.67971 | + | 11.5696i | −0.279537 | + | 0.484172i | −0.971270 | − | 0.237981i | \(-0.923514\pi\) |
0.691733 | + | 0.722154i | \(0.256848\pi\) | |||||||
\(572\) | −4.65906 | − | 38.6310i | −0.194805 | − | 1.61524i | ||||
\(573\) | 1.00358 | 0.0419252 | ||||||||
\(574\) | 8.36725 | + | 9.91784i | 0.349242 | + | 0.413963i | ||||
\(575\) | − | 0.266961i | − | 0.0111331i | ||||||
\(576\) | 14.8977 | − | 18.1566i | 0.620739 | − | 0.756526i | ||||
\(577\) | −29.5233 | − | 17.0453i | −1.22907 | − | 0.709604i | −0.262234 | − | 0.965004i | \(-0.584459\pi\) |
−0.966835 | + | 0.255401i | \(0.917793\pi\) | |||||||
\(578\) | 9.04064 | − | 10.1965i | 0.376041 | − | 0.424118i | ||||
\(579\) | −3.13613 | + | 1.81065i | −0.130333 | + | 0.0752479i | ||||
\(580\) | 2.35347 | − | 5.51148i | 0.0977227 | − | 0.228852i | ||||
\(581\) | 14.1536 | − | 5.63651i | 0.587189 | − | 0.233842i | ||||
\(582\) | −2.80341 | − | 0.573496i | −0.116205 | − | 0.0237722i | ||||
\(583\) | −11.2395 | + | 6.48912i | −0.465492 | + | 0.268752i | ||||
\(584\) | 9.94871 | + | 21.0321i | 0.411681 | + | 0.870313i | ||||
\(585\) | −7.86933 | + | 13.6301i | −0.325357 | + | 0.563535i | ||||
\(586\) | 0.218261 | + | 0.654649i | 0.00901627 | + | 0.0270433i | ||||
\(587\) | 8.77581i | 0.362216i | 0.983463 | + | 0.181108i | \(0.0579684\pi\) | ||||
−0.983463 | + | 0.181108i | \(0.942032\pi\) | |||||||
\(588\) | −2.26585 | + | 2.72979i | −0.0934422 | + | 0.112575i | ||||
\(589\) | 34.5423i | 1.42329i | ||||||||
\(590\) | 10.5884 | − | 3.53017i | 0.435915 | − | 0.145335i | ||||
\(591\) | 0.513425 | − | 0.889277i | 0.0211195 | − | 0.0365800i | ||||
\(592\) | −8.21764 | − | 33.5731i | −0.337743 | − | 1.37984i | ||||
\(593\) | −5.54851 | + | 3.20343i | −0.227850 | + | 0.131549i | −0.609580 | − | 0.792725i | \(-0.708662\pi\) |
0.381730 | + | 0.924274i | \(0.375328\pi\) | |||||||
\(594\) | 1.54720 | − | 7.56313i | 0.0634824 | − | 0.310319i | ||||
\(595\) | −12.6858 | + | 5.05198i | −0.520066 | + | 0.207111i | ||||
\(596\) | −9.07842 | + | 21.2603i | −0.371867 | + | 0.870856i | ||||
\(597\) | −0.601832 | + | 0.347468i | −0.0246313 | + | 0.0142209i | ||||
\(598\) | −1.51443 | − | 1.34276i | −0.0619297 | − | 0.0549095i | ||||
\(599\) | −13.6488 | − | 7.88017i | −0.557677 | − | 0.321975i | 0.194536 | − | 0.980895i | \(-0.437680\pi\) |
−0.752213 | + | 0.658921i | \(0.771013\pi\) | |||||||
\(600\) | 0.714340 | + | 0.0585367i | 0.0291628 | + | 0.00238975i | ||||
\(601\) | 23.5644i | 0.961213i | 0.876936 | + | 0.480606i | \(0.159583\pi\) | ||||
−0.876936 | + | 0.480606i | \(0.840417\pi\) | |||||||
\(602\) | −15.2704 | + | 12.8830i | −0.622376 | + | 0.525072i | ||||
\(603\) | −5.65816 | −0.230418 | ||||||||
\(604\) | 31.9485 | − | 3.85313i | 1.29997 | − | 0.156782i | ||||
\(605\) | 1.08515 | − | 1.87954i | 0.0441177 | − | 0.0764141i | ||||
\(606\) | −2.54725 | − | 2.25850i | −0.103475 | − | 0.0917453i | ||||
\(607\) | 23.5467 | + | 40.7841i | 0.955733 | + | 1.65538i | 0.732683 | + | 0.680570i | \(0.238268\pi\) |
0.223050 | + | 0.974807i | \(0.428399\pi\) | |||||||
\(608\) | −30.3597 | + | 19.1128i | −1.23125 | + | 0.775126i | ||||
\(609\) | −1.98799 | − | 0.289506i | −0.0805575 | − | 0.0117314i | ||||
\(610\) | 7.28974 | + | 1.49127i | 0.295153 | + | 0.0603798i | ||||
\(611\) | 12.1353 | + | 21.0189i | 0.490941 | + | 0.850335i | ||||
\(612\) | −18.1849 | − | 24.2403i | −0.735080 | − | 0.979857i | ||||
\(613\) | 28.4900 | + | 16.4487i | 1.15070 | + | 0.664357i | 0.949058 | − | 0.315102i | \(-0.102039\pi\) |
0.201642 | + | 0.979459i | \(0.435372\pi\) | |||||||
\(614\) | −15.8760 | + | 5.29309i | −0.640705 | + | 0.213612i | ||||
\(615\) | −0.878794 | −0.0354364 | ||||||||
\(616\) | −19.8715 | − | 18.5111i | −0.800644 | − | 0.745835i | ||||
\(617\) | 6.76738 | 0.272444 | 0.136222 | − | 0.990678i | \(-0.456504\pi\) | ||||
0.136222 | + | 0.990678i | \(0.456504\pi\) | |||||||
\(618\) | −2.55047 | + | 0.850331i | −0.102595 | + | 0.0342053i | ||||
\(619\) | 13.7468 | + | 7.93673i | 0.552531 | + | 0.319004i | 0.750142 | − | 0.661276i | \(-0.229985\pi\) |
−0.197611 | + | 0.980281i | \(0.563318\pi\) | |||||||
\(620\) | 8.71396 | − | 6.53714i | 0.349961 | − | 0.262538i | ||||
\(621\) | −0.200775 | − | 0.347752i | −0.00805682 | − | 0.0139548i | ||||
\(622\) | 6.35914 | + | 1.30090i | 0.254978 | + | 0.0521612i | ||||
\(623\) | −11.4504 | − | 9.03830i | −0.458750 | − | 0.362112i | ||||
\(624\) | 3.92505 | − | 3.75791i | 0.157128 | − | 0.150437i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −21.7380 | − | 19.2738i | −0.868825 | − | 0.770337i | ||||
\(627\) | −2.91606 | + | 5.05077i | −0.116456 | + | 0.201708i | ||||
\(628\) | −0.516753 | − | 4.28470i | −0.0206207 | − | 0.170978i | ||||
\(629\) | −44.5964 | −1.77817 | ||||||||
\(630\) | 1.93633 | + | 10.8127i | 0.0771452 | + | 0.430788i | ||||
\(631\) | − | 18.6006i | − | 0.740479i | −0.928936 | − | 0.370240i | \(-0.879276\pi\) | ||
0.928936 | − | 0.370240i | \(-0.120724\pi\) | |||||||
\(632\) | 32.3643 | + | 2.65210i | 1.28738 | + | 0.105495i | ||||
\(633\) | 0.529130 | + | 0.305493i | 0.0210310 | + | 0.0121423i | ||||
\(634\) | 8.26395 | + | 7.32716i | 0.328203 | + | 0.290999i | ||||
\(635\) | 7.31032 | − | 4.22062i | 0.290101 | − | 0.167490i | ||||
\(636\) | −1.66682 | − | 0.711755i | −0.0660939 | − | 0.0282229i | ||||
\(637\) | 27.2530 | − | 25.7979i | 1.07980 | − | 1.02215i | ||||
\(638\) | 3.08223 | − | 15.0668i | 0.122027 | − | 0.596499i | ||||
\(639\) | −40.5063 | + | 23.3863i | −1.60241 | + | 0.925149i | ||||
\(640\) | 10.5671 | + | 4.04172i | 0.417703 | + | 0.159763i | ||||
\(641\) | −3.77857 | + | 6.54468i | −0.149245 | + | 0.258499i | −0.930948 | − | 0.365151i | \(-0.881018\pi\) |
0.781704 | + | 0.623650i | \(0.214351\pi\) | |||||||
\(642\) | 2.54128 | − | 0.847264i | 0.100296 | − | 0.0334389i | ||||
\(643\) | 21.9243i | 0.864609i | 0.901728 | + | 0.432305i | \(0.142299\pi\) | ||||
−0.901728 | + | 0.432305i | \(0.857701\pi\) | |||||||
\(644\) | −1.41220 | − | 0.0347276i | −0.0556485 | − | 0.00136846i | ||||
\(645\) | − | 1.35307i | − | 0.0532772i | ||||||
\(646\) | 14.6401 | + | 43.9114i | 0.576007 | + | 1.72767i | ||||
\(647\) | 11.3244 | − | 19.6144i | 0.445207 | − | 0.771120i | −0.552860 | − | 0.833274i | \(-0.686464\pi\) |
0.998067 | + | 0.0621538i | \(0.0197969\pi\) | |||||||
\(648\) | −21.5442 | + | 10.1909i | −0.846335 | + | 0.400338i | ||||
\(649\) | 24.8044 | − | 14.3208i | 0.973659 | − | 0.562143i | ||||
\(650\) | −7.42773 | − | 1.51950i | −0.291339 | − | 0.0595997i | ||||
\(651\) | −2.86635 | − | 2.26254i | −0.112341 | − | 0.0886759i | ||||
\(652\) | −2.20158 | − | 0.940102i | −0.0862204 | − | 0.0368172i | ||||
\(653\) | 3.05556 | − | 1.76413i | 0.119573 | − | 0.0690357i | −0.439020 | − | 0.898477i | \(-0.644674\pi\) |
0.558594 | + | 0.829441i | \(0.311341\pi\) | |||||||
\(654\) | −4.63606 | + | 5.22878i | −0.181284 | + | 0.204462i | ||||
\(655\) | −4.74957 | − | 2.74216i | −0.185581 | − | 0.107145i | ||||
\(656\) | −13.3179 | − | 3.88086i | −0.519977 | − | 0.151522i | ||||
\(657\) | − | 24.1495i | − | 0.942162i | ||||||
\(658\) | 15.9333 | + | 5.75116i | 0.621146 | + | 0.224204i | ||||
\(659\) | 37.5143 | 1.46135 | 0.730676 | − | 0.682725i | \(-0.239205\pi\) | ||||
0.730676 | + | 0.682725i | \(0.239205\pi\) | |||||||
\(660\) | 1.82602 | − | 0.220226i | 0.0710777 | − | 0.00857227i | ||||
\(661\) | 14.6573 | − | 25.3871i | 0.570102 | − | 0.987445i | −0.426453 | − | 0.904510i | \(-0.640237\pi\) |
0.996555 | − | 0.0829357i | \(-0.0264296\pi\) | |||||||
\(662\) | 11.9178 | − | 13.4415i | 0.463199 | − | 0.522419i | ||||
\(663\) | −3.50558 | − | 6.07185i | −0.136146 | − | 0.235811i | ||||
\(664\) | −9.26798 | + | 13.3923i | −0.359667 | + | 0.519723i | ||||
\(665\) | 2.41797 | − | 16.6038i | 0.0937648 | − | 0.643868i | ||||
\(666\) | −7.19031 | + | 35.1482i | −0.278619 | + | 1.36196i | ||||
\(667\) | −0.399971 | − | 0.692769i | −0.0154869 | − | 0.0268241i | ||||
\(668\) | −20.8977 | + | 15.6772i | −0.808555 | + | 0.606571i | ||||
\(669\) | −4.36368 | − | 2.51937i | −0.168710 | − | 0.0974046i | ||||
\(670\) | −0.862076 | − | 2.58570i | −0.0333049 | − | 0.0998943i | ||||
\(671\) | 19.0940 | 0.737116 | ||||||||
\(672\) | 0.402578 | − | 3.77117i | 0.0155298 | − | 0.145476i | ||||
\(673\) | −16.3062 | −0.628558 | −0.314279 | − | 0.949331i | \(-0.601763\pi\) | ||||
−0.314279 | + | 0.949331i | \(0.601763\pi\) | |||||||
\(674\) | −6.20798 | − | 18.6201i | −0.239122 | − | 0.717221i | ||||
\(675\) | −1.30263 | − | 0.752075i | −0.0501383 | − | 0.0289474i | ||||
\(676\) | −25.1817 | + | 18.8911i | −0.968527 | + | 0.726580i | ||||
\(677\) | −17.9655 | − | 31.1171i | −0.690469 | − | 1.19593i | −0.971684 | − | 0.236282i | \(-0.924071\pi\) |
0.281216 | − | 0.959645i | \(-0.409262\pi\) | |||||||
\(678\) | 1.49521 | − | 7.30898i | 0.0574231 | − | 0.280700i | ||||
\(679\) | 19.6265 | − | 7.81607i | 0.753198 | − | 0.299953i | ||||
\(680\) | 8.30685 | − | 12.0035i | 0.318553 | − | 0.460313i | ||||
\(681\) | −3.13766 | − | 5.43459i | −0.120236 | − | 0.208254i | ||||
\(682\) | 18.5456 | − | 20.9166i | 0.710146 | − | 0.800939i | ||||
\(683\) | 13.9429 | − | 24.1497i | 0.533509 | − | 0.924064i | −0.465725 | − | 0.884929i | \(-0.654206\pi\) |
0.999234 | − | 0.0391349i | \(-0.0124602\pi\) | |||||||
\(684\) | 36.9687 | − | 4.45859i | 1.41353 | − | 0.170478i | ||||
\(685\) | 8.42562 | 0.321926 | ||||||||
\(686\) | 2.92787 | − | 26.0274i | 0.111786 | − | 0.993732i | ||||
\(687\) | 3.03166i | 0.115665i | ||||||||
\(688\) | 5.97533 | − | 20.5055i | 0.227807 | − | 0.781765i | ||||
\(689\) | 16.6032 | + | 9.58587i | 0.632532 | + | 0.365193i | ||||
\(690\) | 0.0634699 | − | 0.0715845i | 0.00241626 | − | 0.00272518i | ||||
\(691\) | 20.9094 | − | 12.0721i | 0.795432 | − | 0.459243i | −0.0464394 | − | 0.998921i | \(-0.514787\pi\) |
0.841871 | + | 0.539678i | \(0.181454\pi\) | |||||||
\(692\) | 45.4706 | + | 19.4165i | 1.72853 | + | 0.738106i | ||||
\(693\) | 10.4292 | + | 26.1882i | 0.396172 | + | 0.994807i | ||||
\(694\) | 17.8321 | + | 3.64793i | 0.676896 | + | 0.138473i | ||||
\(695\) | 10.0313 | − | 5.79158i | 0.380510 | − | 0.219687i | ||||
\(696\) | 1.94143 | − | 0.918344i | 0.0735895 | − | 0.0348097i | ||||
\(697\) | −8.94907 | + | 15.5002i | −0.338970 | + | 0.587113i | ||||
\(698\) | 9.41674 | + | 28.2445i | 0.356429 | + | 1.06907i | ||||
\(699\) | − | 2.81256i | − | 0.106381i | ||||||
\(700\) | −4.64623 | + | 2.53229i | −0.175611 | + | 0.0957118i | ||||
\(701\) | − | 14.4688i | − | 0.546481i | −0.961946 | − | 0.273240i | \(-0.911905\pi\) | ||
0.961946 | − | 0.273240i | \(-0.0880954\pi\) | |||||||
\(702\) | −10.8184 | + | 3.60686i | −0.408313 | + | 0.136132i | ||||
\(703\) | 27.4001 | − | 47.4583i | 1.03341 | − | 1.78992i | ||||
\(704\) | 28.6454 | + | 4.72645i | 1.07961 | + | 0.178135i | ||||
\(705\) | −0.993528 | + | 0.573614i | −0.0374184 | + | 0.0216035i | ||||
\(706\) | −8.45976 | + | 41.3536i | −0.318387 | + | 1.55636i | ||||
\(707\) | 24.8710 | + | 3.62189i | 0.935369 | + | 0.136215i | ||||
\(708\) | 3.67852 | + | 1.57077i | 0.138247 | + | 0.0590333i | ||||
\(709\) | −16.2208 | + | 9.36506i | −0.609183 | + | 0.351712i | −0.772646 | − | 0.634837i | \(-0.781067\pi\) |
0.163462 | + | 0.986550i | \(0.447734\pi\) | |||||||
\(710\) | −16.8588 | − | 14.9477i | −0.632698 | − | 0.560977i | ||||
\(711\) | −29.1897 | − | 16.8527i | −1.09470 | − | 0.632025i | ||||
\(712\) | 15.5429 | + | 1.27366i | 0.582493 | + | 0.0477326i | ||||
\(713\) | − | 1.45407i | − | 0.0544552i | ||||||
\(714\) | −4.60274 | − | 1.66137i | −0.172253 | − | 0.0621751i | ||||
\(715\) | −19.4555 | −0.727593 | ||||||||
\(716\) | −3.10360 | − | 25.7337i | −0.115987 | − | 0.961715i | ||||
\(717\) | −3.14439 | + | 5.44624i | −0.117429 | + | 0.203394i | ||||
\(718\) | 20.2033 | + | 17.9131i | 0.753980 | + | 0.668510i | ||||
\(719\) | 14.8589 | + | 25.7364i | 0.554145 | + | 0.959807i | 0.997970 | + | 0.0636936i | \(0.0202880\pi\) |
−0.443824 | + | 0.896114i | \(0.646379\pi\) | |||||||
\(720\) | −8.12110 | − | 8.48229i | −0.302656 | − | 0.316116i | ||||
\(721\) | 12.2978 | − | 15.5798i | 0.457994 | − | 0.580221i | ||||
\(722\) | −29.3994 | − | 6.01427i | −1.09413 | − | 0.223828i | ||||
\(723\) | −1.44104 | − | 2.49595i | −0.0535928 | − | 0.0928255i | ||||
\(724\) | 16.9049 | − | 12.6819i | 0.628265 | − | 0.471319i | ||||
\(725\) | −2.59502 | − | 1.49823i | −0.0963765 | − | 0.0556430i | ||||
\(726\) | 0.737838 | − | 0.245996i | 0.0273837 | − | 0.00912977i | ||||
\(727\) | −7.23594 | −0.268366 | −0.134183 | − | 0.990957i | \(-0.542841\pi\) | ||||
−0.134183 | + | 0.990957i | \(0.542841\pi\) | |||||||
\(728\) | −9.00424 | + | 39.0943i | −0.333719 | + | 1.44893i | ||||
\(729\) | 23.5941 | 0.873854 | ||||||||
\(730\) | 11.0360 | − | 3.67941i | 0.408460 | − | 0.136181i | ||||
\(731\) | −23.8656 | − | 13.7788i | −0.882702 | − | 0.509628i | ||||
\(732\) | 1.60016 | + | 2.13301i | 0.0591438 | + | 0.0788383i | ||||
\(733\) | 11.4471 | + | 19.8270i | 0.422810 | + | 0.732328i | 0.996213 | − | 0.0869452i | \(-0.0277105\pi\) |
−0.573403 | + | 0.819273i | \(0.694377\pi\) | |||||||
\(734\) | 13.6011 | + | 2.78240i | 0.502027 | + | 0.102700i | ||||
\(735\) | 1.21942 | + | 1.28820i | 0.0449791 | + | 0.0475161i | ||||
\(736\) | 1.27800 | − | 0.804556i | 0.0471076 | − | 0.0296563i | ||||
\(737\) | −3.49719 | − | 6.05730i | −0.128821 | − | 0.223124i | ||||
\(738\) | 10.7735 | + | 9.55223i | 0.396578 | + | 0.351622i | ||||
\(739\) | −19.9700 | + | 34.5891i | −0.734610 | + | 1.27238i | 0.220284 | + | 0.975436i | \(0.429301\pi\) |
−0.954894 | + | 0.296946i | \(0.904032\pi\) | |||||||
\(740\) | −17.1577 | + | 2.06930i | −0.630731 | + | 0.0760689i | ||||
\(741\) | 8.61534 | 0.316492 | ||||||||
\(742\) | 13.1713 | − | 2.35870i | 0.483533 | − | 0.0865906i | ||||
\(743\) | − | 7.99702i | − | 0.293382i | −0.989182 | − | 0.146691i | \(-0.953138\pi\) | ||
0.989182 | − | 0.146691i | \(-0.0468623\pi\) | |||||||
\(744\) | 3.89081 | + | 0.318833i | 0.142644 | + | 0.0116890i | ||||
\(745\) | 10.0102 | + | 5.77937i | 0.366744 | + | 0.211740i | ||||
\(746\) | −24.7954 | − | 21.9846i | −0.907823 | − | 0.804915i | ||||
\(747\) | 14.6399 | − | 8.45234i | 0.535645 | − | 0.309255i | ||||
\(748\) | 14.7106 | − | 34.4501i | 0.537874 | − | 1.25962i | ||||
\(749\) | −12.2535 | + | 15.5236i | −0.447732 | + | 0.567220i | ||||
\(750\) | 0.0718241 | − | 0.351096i | 0.00262264 | − | 0.0128202i | ||||
\(751\) | −11.9662 | + | 6.90868i | −0.436652 | + | 0.252101i | −0.702177 | − | 0.712003i | \(-0.747788\pi\) |
0.265524 | + | 0.964104i | \(0.414455\pi\) | |||||||
\(752\) | −17.5898 | + | 4.30544i | −0.641435 | + | 0.157003i | ||||
\(753\) | −1.13833 | + | 1.97165i | −0.0414832 | + | 0.0718509i | ||||
\(754\) | −21.5516 | + | 7.18535i | −0.784865 | + | 0.261675i | ||||
\(755\) | − | 16.0900i | − | 0.585576i | ||||||
\(756\) | −4.14786 | + | 6.79297i | −0.150856 | + | 0.247058i | ||||
\(757\) | 10.8579i | 0.394636i | 0.980340 | + | 0.197318i | \(0.0632232\pi\) | ||||
−0.980340 | + | 0.197318i | \(0.936777\pi\) | |||||||
\(758\) | −4.79766 | − | 14.3900i | −0.174259 | − | 0.522670i | ||||
\(759\) | 0.122752 | − | 0.212613i | 0.00445562 | − | 0.00771736i | ||||
\(760\) | 7.67006 | + | 16.2149i | 0.278222 | + | 0.588176i | ||||
\(761\) | −39.6101 | + | 22.8689i | −1.43586 | + | 0.828996i | −0.997559 | − | 0.0698299i | \(-0.977754\pi\) |
−0.438305 | + | 0.898826i | \(0.644421\pi\) | |||||||
\(762\) | 2.96368 | + | 0.606284i | 0.107363 | + | 0.0219634i | ||||
\(763\) | 7.43472 | − | 51.0531i | 0.269155 | − | 1.84825i | ||||
\(764\) | 3.11057 | − | 7.28448i | 0.112536 | − | 0.263543i | ||||
\(765\) | −13.1217 | + | 7.57580i | −0.474415 | + | 0.273904i | ||||
\(766\) | −1.31478 | + | 1.48287i | −0.0475048 | + | 0.0535783i | ||||
\(767\) | −36.6416 | − | 21.1551i | −1.32305 | − | 0.763865i | ||||
\(768\) | 1.87262 | + | 3.59610i | 0.0675723 | + | 0.129763i | ||||
\(769\) | − | 5.29591i | − | 0.190976i | −0.995431 | − | 0.0954878i | \(-0.969559\pi\) | ||
0.995431 | − | 0.0954878i | \(-0.0304411\pi\) | |||||||
\(770\) | −10.3787 | + | 8.75602i | −0.374021 | + | 0.315545i | ||||
\(771\) | 0.615644 | 0.0221719 | ||||||||
\(772\) | 3.42222 | + | 28.3756i | 0.123168 | + | 1.02126i | ||||
\(773\) | −8.85880 | + | 15.3439i | −0.318629 | + | 0.551882i | −0.980202 | − | 0.197999i | \(-0.936556\pi\) |
0.661573 | + | 0.749881i | \(0.269889\pi\) | |||||||
\(774\) | −14.7075 | + | 16.5879i | −0.528650 | + | 0.596239i | ||||
\(775\) | −2.72336 | − | 4.71700i | −0.0978261 | − | 0.169440i | ||||
\(776\) | −12.8518 | + | 18.5709i | −0.461352 | + | 0.666658i | ||||
\(777\) | 2.14342 | + | 5.38223i | 0.0768947 | + | 0.193086i | ||||
\(778\) | −0.815101 | + | 3.98443i | −0.0292228 | + | 0.142849i | ||||
\(779\) | −10.9966 | − | 19.0467i | −0.393995 | − | 0.682420i | ||||
\(780\) | −1.63045 | − | 2.17338i | −0.0583796 | − | 0.0778197i | ||||
\(781\) | −50.0722 | − | 28.9092i | −1.79172 | − | 1.03445i | ||||
\(782\) | −0.616278 | − | 1.84846i | −0.0220381 | − | 0.0661007i | ||||
\(783\) | −4.50714 | −0.161072 | ||||||||
\(784\) | 12.7912 | + | 24.9075i | 0.456828 | + | 0.889555i | ||||
\(785\) | −2.15787 | −0.0770179 | ||||||||
\(786\) | −0.621629 | − | 1.86451i | −0.0221728 | − | 0.0665047i | ||||
\(787\) | −27.1625 | − | 15.6823i | −0.968240 | − | 0.559013i | −0.0695406 | − | 0.997579i | \(-0.522153\pi\) |
−0.898699 | + | 0.438566i | \(0.855487\pi\) | |||||||
\(788\) | −4.86346 | − | 6.48297i | −0.173254 | − | 0.230946i | ||||
\(789\) | −0.291498 | − | 0.504889i | −0.0103776 | − | 0.0179745i | ||||
\(790\) | 3.25411 | − | 15.9070i | 0.115776 | − | 0.565944i | ||||
\(791\) | 20.3779 | + | 51.1699i | 0.724554 | + | 1.81939i | ||||
\(792\) | −24.7797 | − | 17.1484i | −0.880508 | − | 0.609344i | ||||
\(793\) | −14.1030 | − | 24.4272i | −0.500814 | − | 0.867435i | ||||
\(794\) | 2.36902 | − | 2.67191i | 0.0840735 | − | 0.0948224i | ||||
\(795\) | −0.453107 | + | 0.784805i | −0.0160701 | + | 0.0278342i | ||||
\(796\) | 0.656732 | + | 5.44535i | 0.0232773 | + | 0.193005i | ||||
\(797\) | −12.8746 | −0.456040 | −0.228020 | − | 0.973656i | \(-0.573225\pi\) | ||||
−0.228020 | + | 0.973656i | \(0.573225\pi\) | |||||||
\(798\) | 4.59591 | − | 3.87737i | 0.162694 | − | 0.137257i | ||||
\(799\) | 23.3652i | 0.826603i | ||||||||
\(800\) | 2.63896 | − | 5.00359i | 0.0933012 | − | 0.176904i | ||||
\(801\) | −14.0183 | − | 8.09345i | −0.495311 | − | 0.285968i | ||||
\(802\) | −36.3640 | + | 41.0131i | −1.28406 | + | 1.44822i | ||||
\(803\) | 25.8531 | − | 14.9263i | 0.912336 | − | 0.526737i | ||||
\(804\) | 0.383587 | − | 0.898303i | 0.0135281 | − | 0.0316807i | ||||
\(805\) | −0.101785 | + | 0.698941i | −0.00358745 | + | 0.0246344i | ||||
\(806\) | −40.4568 | − | 8.27630i | −1.42503 | − | 0.291520i | ||||
\(807\) | 0.267363 | − | 0.154362i | 0.00941162 | − | 0.00543380i | ||||
\(808\) | −24.2884 | + | 11.4890i | −0.854463 | + | 0.404183i | ||||
\(809\) | −3.22687 | + | 5.58910i | −0.113451 | + | 0.196502i | −0.917159 | − | 0.398521i | \(-0.869524\pi\) |
0.803709 | + | 0.595023i | \(0.202857\pi\) | |||||||
\(810\) | 3.76900 | + | 11.3047i | 0.132429 | + | 0.397207i | ||||
\(811\) | − | 24.3882i | − | 0.856385i | −0.903688 | − | 0.428192i | \(-0.859151\pi\) | ||
0.903688 | − | 0.428192i | \(-0.140849\pi\) | |||||||
\(812\) | −8.26309 | + | 13.5325i | −0.289977 | + | 0.474897i | ||||
\(813\) | 6.13703i | 0.215235i | ||||||||
\(814\) | −42.0718 | + | 14.0268i | −1.47462 | + | 0.491639i | ||||
\(815\) | −0.598474 | + | 1.03659i | −0.0209636 | + | 0.0363101i | ||||
\(816\) | 5.08127 | − | 1.24374i | 0.177880 | − | 0.0435394i | ||||
\(817\) | 29.3261 | − | 16.9314i | 1.02599 | − | 0.592356i | ||||
\(818\) | 0.879908 | − | 4.30123i | 0.0307653 | − | 0.150389i | ||||
\(819\) | 25.7997 | − | 32.6850i | 0.901516 | − | 1.14211i | ||||
\(820\) | −2.72379 | + | 6.37871i | −0.0951189 | + | 0.222754i | ||||
\(821\) | −15.5027 | + | 8.95047i | −0.541047 | + | 0.312373i | −0.745503 | − | 0.666502i | \(-0.767791\pi\) |
0.204456 | + | 0.978876i | \(0.434457\pi\) | |||||||
\(822\) | 2.25929 | + | 2.00319i | 0.0788019 | + | 0.0698691i | ||||
\(823\) | −23.0780 | − | 13.3241i | −0.804449 | − | 0.464449i | 0.0405758 | − | 0.999176i | \(-0.487081\pi\) |
−0.845024 | + | 0.534728i | \(0.820414\pi\) | |||||||
\(824\) | −1.73299 | + | 21.1481i | −0.0603715 | + | 0.736730i | ||||
\(825\) | − | 0.919625i | − | 0.0320172i | ||||||
\(826\) | −29.0677 | + | 5.20542i | −1.01139 | + | 0.181120i | ||||
\(827\) | −38.2259 | −1.32924 | −0.664622 | − | 0.747179i | \(-0.731408\pi\) | ||||
−0.664622 | + | 0.747179i | \(0.731408\pi\) | |||||||
\(828\) | −1.55621 | + | 0.187685i | −0.0540819 | + | 0.00652251i | ||||
\(829\) | −3.10978 | + | 5.38630i | −0.108007 | + | 0.187074i | −0.914963 | − | 0.403538i | \(-0.867780\pi\) |
0.806956 | + | 0.590612i | \(0.201114\pi\) | |||||||
\(830\) | 6.09313 | + | 5.40243i | 0.211496 | + | 0.187521i | ||||
\(831\) | −1.05736 | − | 1.83140i | −0.0366794 | − | 0.0635305i | ||||
\(832\) | −15.1112 | − | 40.1374i | −0.523887 | − | 1.39151i | ||||
\(833\) | 35.1393 | − | 8.39004i | 1.21750 | − | 0.290698i | ||||
\(834\) | 4.06680 | + | 0.831951i | 0.140822 | + | 0.0288081i | ||||
\(835\) | 6.53112 | + | 11.3122i | 0.226019 | + | 0.391476i | ||||
\(836\) | 27.6227 | + | 36.8209i | 0.955350 | + | 1.27348i | ||||
\(837\) | −7.09508 | − | 4.09635i | −0.245242 | − | 0.141590i | ||||
\(838\) | 14.9790 | − | 4.99401i | 0.517440 | − | 0.172515i | ||||
\(839\) | −0.919692 | −0.0317513 | −0.0158757 | − | 0.999874i | \(-0.505054\pi\) | ||||
−0.0158757 | + | 0.999874i | \(0.505054\pi\) | |||||||
\(840\) | −1.84792 | − | 0.425615i | −0.0637593 | − | 0.0146851i | ||||
\(841\) | 20.0212 | 0.690386 | ||||||||
\(842\) | 47.1049 | − | 15.7048i | 1.62334 | − | 0.541224i | ||||
\(843\) | −4.35073 | − | 2.51189i | −0.149847 | − | 0.0865142i | ||||
\(844\) | 3.85744 | − | 2.89382i | 0.132778 | − | 0.0996092i | ||||
\(845\) | 7.87001 | + | 13.6312i | 0.270736 | + | 0.468929i | ||||
\(846\) | 18.4151 | + | 3.76720i | 0.633123 | + | 0.129519i | ||||
\(847\) | −3.55769 | + | 4.50715i | −0.122244 | + | 0.154867i | ||||
\(848\) | −10.3325 | + | 9.89256i | −0.354820 | + | 0.339712i | ||||
\(849\) | 1.21973 | + | 2.11264i | 0.0418611 | + | 0.0725056i | ||||
\(850\) | −5.46125 | − | 4.84217i | −0.187319 | − | 0.166085i | ||||
\(851\) | −1.15341 | + | 1.99777i | −0.0395384 | + | 0.0684826i | ||||
\(852\) | −0.966802 | − | 8.01632i | −0.0331221 | − | 0.274635i | ||||
\(853\) | 32.0382 | 1.09697 | 0.548484 | − | 0.836161i | \(-0.315205\pi\) | ||||
0.548484 | + | 0.836161i | \(0.315205\pi\) | |||||||
\(854\) | −18.5169 | − | 6.68372i | −0.633637 | − | 0.228712i | ||||
\(855\) | − | 18.6183i | − | 0.636733i | ||||||
\(856\) | 1.72674 | − | 21.0719i | 0.0590187 | − | 0.720222i | ||||
\(857\) | −14.8577 | − | 8.57808i | −0.507529 | − | 0.293022i | 0.224289 | − | 0.974523i | \(-0.427994\pi\) |
−0.731817 | + | 0.681501i | \(0.761327\pi\) | |||||||
\(858\) | −5.21690 | − | 4.62552i | −0.178102 | − | 0.157913i | ||||
\(859\) | −45.5226 | + | 26.2825i | −1.55321 | + | 0.896747i | −0.555333 | + | 0.831628i | \(0.687409\pi\) |
−0.997878 | + | 0.0651185i | \(0.979257\pi\) | |||||||
\(860\) | −9.82126 | − | 4.19380i | −0.334902 | − | 0.143007i | ||||
\(861\) | 2.30080 | + | 0.335059i | 0.0784111 | + | 0.0114188i | ||||
\(862\) | 4.08042 | − | 19.9462i | 0.138980 | − | 0.679370i | ||||
\(863\) | 8.80096 | − | 5.08124i | 0.299588 | − | 0.172967i | −0.342670 | − | 0.939456i | \(-0.611331\pi\) |
0.642258 | + | 0.766489i | \(0.277998\pi\) | |||||||
\(864\) | −0.325483 | − | 8.50253i | −0.0110732 | − | 0.289262i | ||||
\(865\) | 12.3607 | − | 21.4093i | 0.420275 | − | 0.727938i | ||||
\(866\) | 49.4610 | − | 16.4904i | 1.68075 | − | 0.560365i | ||||
\(867\) | − | 2.44178i | − | 0.0829271i | ||||||
\(868\) | −25.3068 | + | 13.7927i | −0.858967 | + | 0.468155i | ||||
\(869\) | − | 41.6651i | − | 1.41339i | ||||||
\(870\) | −0.339639 | − | 1.01871i | −0.0115148 | − | 0.0345375i | ||||
\(871\) | −5.16612 | + | 8.94798i | −0.175047 | + | 0.303191i | ||||
\(872\) | 23.5837 | + | 49.8572i | 0.798646 | + | 1.68838i | ||||
\(873\) | 20.3009 | − | 11.7207i | 0.687082 | − | 0.396687i | ||||
\(874\) | 2.34572 | + | 0.479867i | 0.0793453 | + | 0.0162318i | ||||
\(875\) | 0.978876 | + | 2.45801i | 0.0330921 | + | 0.0830958i | ||||
\(876\) | 3.83403 | + | 1.63718i | 0.129540 | + | 0.0553152i | ||||
\(877\) | 32.0621 | − | 18.5111i | 1.08266 | − | 0.625074i | 0.151047 | − | 0.988527i | \(-0.451736\pi\) |
0.931613 | + | 0.363453i | \(0.118402\pi\) | |||||||
\(878\) | −34.6739 | + | 39.1070i | −1.17019 | + | 1.31980i | ||||
\(879\) | 0.107084 | + | 0.0618250i | 0.00361185 | + | 0.00208531i | ||||
\(880\) | 4.06118 | − | 13.9367i | 0.136902 | − | 0.469806i | ||||
\(881\) | − | 46.4428i | − | 1.56470i | −0.622841 | − | 0.782348i | \(-0.714022\pi\) | ||
0.622841 | − | 0.782348i | \(-0.285978\pi\) | |||||||
\(882\) | −0.946993 | − | 29.0474i | −0.0318869 | − | 0.978076i | ||||
\(883\) | −26.4744 | −0.890935 | −0.445468 | − | 0.895298i | \(-0.646963\pi\) | ||||
−0.445468 | + | 0.895298i | \(0.646963\pi\) | |||||||
\(884\) | −54.9378 | + | 6.62574i | −1.84776 | + | 0.222848i | ||||
\(885\) | 0.999963 | − | 1.73199i | 0.0336134 | − | 0.0582201i | ||||
\(886\) | 20.2460 | − | 22.8345i | 0.680177 | − | 0.767138i | ||||
\(887\) | −5.77822 | − | 10.0082i | −0.194014 | − | 0.336041i | 0.752563 | − | 0.658520i | \(-0.228817\pi\) |
−0.946577 | + | 0.322479i | \(0.895484\pi\) | |||||||
\(888\) | −5.09275 | − | 3.52437i | −0.170901 | − | 0.118270i | ||||
\(889\) | −20.7486 | + | 8.26293i | −0.695886 | + | 0.277130i | ||||
\(890\) | 1.56278 | − | 7.63927i | 0.0523843 | − | 0.256069i | ||||
\(891\) | 15.2897 | + | 26.4826i | 0.512225 | + | 0.887200i | ||||
\(892\) | −31.8119 | + | 23.8650i | −1.06514 | + | 0.799059i | ||||
\(893\) | −24.8647 | − | 14.3556i | −0.832065 | − | 0.480393i | ||||
\(894\) | 1.31014 | + | 3.92962i | 0.0438177 | + | 0.131426i | ||||
\(895\) | −12.9601 | −0.433209 | ||||||||
\(896\) | −26.1252 | − | 14.6107i | −0.872782 | − | 0.488110i | ||||
\(897\) | −0.362664 | −0.0121090 | ||||||||
\(898\) | 14.2185 | + | 42.6467i | 0.474476 | + | 1.42314i | ||||
\(899\) | −14.1343 | − | 8.16047i | −0.471407 | − | 0.272167i | ||||
\(900\) | −4.69683 | + | 3.52352i | −0.156561 | + | 0.117451i | ||||
\(901\) | 9.22831 | + | 15.9839i | 0.307439 | + | 0.532501i | ||||
\(902\) | −3.56721 | + | 17.4375i | −0.118775 | + | 0.580605i | ||||
\(903\) | −0.515889 | + | 3.54253i | −0.0171677 | + | 0.117888i | ||||
\(904\) | −48.4178 | − | 33.5069i | −1.61035 | − | 1.11442i | ||||
\(905\) | −5.28326 | − | 9.15087i | −0.175621 | − | 0.304185i | ||||
\(906\) | 3.82539 | − | 4.31447i | 0.127090 | − | 0.143339i | ||||
\(907\) | 19.9712 | − | 34.5911i | 0.663131 | − | 1.14858i | −0.316657 | − | 0.948540i | \(-0.602560\pi\) |
0.979788 | − | 0.200037i | \(-0.0641062\pi\) | |||||||
\(908\) | −49.1720 | + | 5.93035i | −1.63183 | + | 0.196806i | ||||
\(909\) | 27.8885 | 0.925003 | ||||||||
\(910\) | 18.8675 | + | 6.81024i | 0.625450 | + | 0.225757i | ||||
\(911\) | 46.6862i | 1.54678i | 0.633929 | + | 0.773391i | \(0.281441\pi\) | ||||
−0.633929 | + | 0.773391i | \(0.718559\pi\) | |||||||
\(912\) | −1.79838 | + | 6.17150i | −0.0595505 | + | 0.204359i | ||||
\(913\) | 18.0972 | + | 10.4484i | 0.598930 | + | 0.345792i | ||||
\(914\) | 21.6996 | − | 24.4739i | 0.717759 | − | 0.809525i | ||||
\(915\) | 1.15463 | − | 0.666626i | 0.0381709 | − | 0.0220380i | ||||
\(916\) | 22.0052 | + | 9.39652i | 0.727074 | + | 0.310470i | ||||
\(917\) | 11.3895 | + | 8.99023i | 0.376114 | + | 0.296884i | ||||
\(918\) | −10.7557 | − | 2.20030i | −0.354990 | − | 0.0726208i | ||||
\(919\) | −7.20385 | + | 4.15914i | −0.237633 | + | 0.137198i | −0.614088 | − | 0.789237i | \(-0.710476\pi\) |
0.376455 | + | 0.926435i | \(0.377143\pi\) | |||||||
\(920\) | −0.322873 | − | 0.682569i | −0.0106448 | − | 0.0225036i | ||||
\(921\) | −1.49933 | + | 2.59692i | −0.0494046 | + | 0.0855714i | ||||
\(922\) | −4.46457 | − | 13.3910i | −0.147033 | − | 0.441009i | ||||
\(923\) | 85.4105i | 2.81132i | ||||||||
\(924\) | −4.86473 | − | 0.119629i | −0.160038 | − | 0.00393551i | ||||
\(925\) | 8.64104i | 0.284116i | ||||||||
\(926\) | 32.6685 | − | 10.8917i | 1.07355 | − | 0.357924i | ||||
\(927\) | 11.0122 | − | 19.0737i | 0.361689 | − | 0.626463i | ||||
\(928\) | −0.648406 | − | 16.9382i | −0.0212850 | − | 0.556023i | ||||
\(929\) | 23.5169 | − | 13.5775i | 0.771565 | − | 0.445463i | −0.0618674 | − | 0.998084i | \(-0.519706\pi\) |
0.833433 | + | 0.552621i | \(0.186372\pi\) | |||||||
\(930\) | 0.391206 | − | 1.91232i | 0.0128282 | − | 0.0627075i | ||||
\(931\) | −12.6611 | + | 42.5491i | −0.414952 | + | 1.39449i | ||||
\(932\) | −20.4149 | − | 8.71743i | −0.668713 | − | 0.285549i | ||||
\(933\) | 1.00723 | − | 0.581525i | 0.0329753 | − | 0.0190383i | ||||
\(934\) | 27.6238 | + | 24.4924i | 0.903878 | + | 0.801416i | ||||
\(935\) | −16.2204 | − | 9.36487i | −0.530465 | − | 0.306264i | ||||
\(936\) | −3.63566 | + | 44.3670i | −0.118835 | + | 1.45018i | ||||
\(937\) | − | 36.9312i | − | 1.20649i | −0.797556 | − | 0.603245i | \(-0.793874\pi\) | ||
0.797556 | − | 0.603245i | \(-0.206126\pi\) | |||||||
\(938\) | 1.27118 | + | 7.09840i | 0.0415054 | + | 0.231771i | ||||
\(939\) | −5.20565 | −0.169880 | ||||||||
\(940\) | 1.08416 | + | 8.98940i | 0.0353614 | + | 0.293202i | ||||
\(941\) | −7.58723 | + | 13.1415i | −0.247336 | + | 0.428399i | −0.962786 | − | 0.270265i | \(-0.912889\pi\) |
0.715449 | + | 0.698664i | \(0.246222\pi\) | |||||||
\(942\) | −0.578625 | − | 0.513033i | −0.0188526 | − | 0.0167155i | ||||
\(943\) | 0.462905 | + | 0.801776i | 0.0150743 | + | 0.0261094i | ||||
\(944\) | 22.8029 | − | 21.8319i | 0.742170 | − | 0.710568i | ||||
\(945\) | 3.12372 | + | 2.46569i | 0.101615 | + | 0.0802090i | ||||
\(946\) | −26.8484 | − | 5.49241i | −0.872917 | − | 0.178574i | ||||
\(947\) | −16.7591 | − | 29.0275i | −0.544596 | − | 0.943268i | −0.998632 | − | 0.0522848i | \(-0.983350\pi\) |
0.454036 | − | 0.890983i | \(-0.349984\pi\) | |||||||
\(948\) | 4.65445 | − | 3.49172i | 0.151169 | − | 0.113406i | ||||
\(949\) | −38.1907 | − | 22.0494i | −1.23972 | − | 0.715755i | ||||
\(950\) | 8.50831 | − | 2.83668i | 0.276046 | − | 0.0920341i | ||||
\(951\) | 1.97899 | 0.0641730 | ||||||||
\(952\) | −26.3250 | + | 28.2596i | −0.853200 | + | 0.915898i | ||||
\(953\) | −2.60332 | −0.0843298 | −0.0421649 | − | 0.999111i | \(-0.513425\pi\) | ||||
−0.0421649 | + | 0.999111i | \(0.513425\pi\) | |||||||
\(954\) | 14.0854 | − | 4.69610i | 0.456033 | − | 0.152042i | ||||
\(955\) | −3.42981 | − | 1.98020i | −0.110986 | − | 0.0640779i | ||||
\(956\) | 29.7855 | + | 39.7039i | 0.963333 | + | 1.28412i | ||||
\(957\) | −1.37781 | − | 2.38644i | −0.0445384 | − | 0.0771428i | ||||
\(958\) | 8.99766 | + | 1.84066i | 0.290701 | + | 0.0594691i | ||||
\(959\) | −22.0594 | − | 3.21245i | −0.712335 | − | 0.103736i | ||||
\(960\) | 1.89723 | − | 0.714281i | 0.0612327 | − | 0.0230533i | ||||
\(961\) | 0.666587 | + | 1.15456i | 0.0215028 | + | 0.0372439i | ||||
\(962\) | 49.0193 | + | 43.4626i | 1.58045 | + | 1.40129i | ||||
\(963\) | −10.9725 | + | 19.0049i | −0.353584 | + | 0.612426i | ||||
\(964\) | −22.5833 | + | 2.72364i | −0.727358 | + | 0.0877225i | ||||
\(965\) | 14.2906 | 0.460031 | ||||||||
\(966\) | −0.193466 | + | 0.163219i | −0.00622466 | + | 0.00525148i | ||||
\(967\) | 43.0328i | 1.38384i | 0.721973 | + | 0.691921i | \(0.243236\pi\) | ||||
−0.721973 | + | 0.691921i | \(0.756764\pi\) | |||||||
\(968\) | 0.501344 | − | 6.11804i | 0.0161138 | − | 0.196641i | ||||
\(969\) | 7.18279 | + | 4.14699i | 0.230744 | + | 0.133220i | ||||
\(970\) | 8.44926 | + | 7.49147i | 0.271289 | + | 0.240537i | ||||
\(971\) | 50.5453 | − | 29.1823i | 1.62208 | − | 0.936506i | 0.635712 | − | 0.771927i | \(-0.280707\pi\) |
0.986364 | − | 0.164579i | \(-0.0526266\pi\) | |||||||
\(972\) | −5.22119 | + | 12.2273i | −0.167470 | + | 0.392189i | ||||
\(973\) | −28.4715 | + | 11.3385i | −0.912755 | + | 0.363495i | ||||
\(974\) | 0.0801130 | − | 0.391614i | 0.00256699 | − | 0.0125481i | ||||
\(975\) | −1.17649 | + | 0.679245i | −0.0376777 | + | 0.0217532i | ||||
\(976\) | 20.4421 | − | 5.00358i | 0.654334 | − | 0.160161i | ||||
\(977\) | 0.680919 | − | 1.17939i | 0.0217845 | − | 0.0377319i | −0.854928 | − | 0.518747i | \(-0.826399\pi\) |
0.876712 | + | 0.481015i | \(0.159732\pi\) | |||||||
\(978\) | −0.406926 | + | 0.135670i | −0.0130121 | + | 0.00433824i | ||||
\(979\) | − | 20.0095i | − | 0.639508i | ||||||
\(980\) | 13.1300 | − | 4.85841i | 0.419421 | − | 0.155196i | ||||
\(981\) | − | 57.2472i | − | 1.82776i | ||||||
\(982\) | −8.13639 | − | 24.4042i | −0.259643 | − | 0.778769i | ||||
\(983\) | −5.32160 | + | 9.21728i | −0.169733 | + | 0.293986i | −0.938326 | − | 0.345752i | \(-0.887624\pi\) |
0.768593 | + | 0.639738i | \(0.220957\pi\) | |||||||
\(984\) | −2.24691 | + | 1.06284i | −0.0716288 | + | 0.0338822i | ||||
\(985\) | −3.50933 | + | 2.02611i | −0.111817 | + | 0.0645573i | ||||
\(986\) | −21.4267 | − | 4.38329i | −0.682366 | − | 0.139593i | ||||
\(987\) | 2.81989 | − | 1.12299i | 0.0897582 | − | 0.0357453i | ||||
\(988\) | 26.7029 | − | 62.5343i | 0.849533 | − | 1.98948i | ||||
\(989\) | −1.23449 | + | 0.712733i | −0.0392545 | + | 0.0226636i | ||||
\(990\) | −9.99606 | + | 11.2741i | −0.317696 | + | 0.358313i | ||||
\(991\) | 34.2678 | + | 19.7845i | 1.08855 | + | 0.628476i | 0.933191 | − | 0.359382i | \(-0.117013\pi\) |
0.155361 | + | 0.987858i | \(0.450346\pi\) | |||||||
\(992\) | 14.3737 | − | 27.2532i | 0.456365 | − | 0.865289i | ||||
\(993\) | − | 3.21887i | − | 0.102148i | ||||||
\(994\) | 38.4394 | + | 45.5628i | 1.21922 | + | 1.44517i | ||||
\(995\) | 2.74240 | 0.0869401 | ||||||||
\(996\) | 0.349424 | + | 2.89728i | 0.0110719 | + | 0.0918037i | ||||
\(997\) | 10.3520 | − | 17.9301i | 0.327850 | − | 0.567852i | −0.654235 | − | 0.756291i | \(-0.727009\pi\) |
0.982085 | + | 0.188439i | \(0.0603427\pi\) | |||||||
\(998\) | −1.14091 | + | 1.28678i | −0.0361149 | + | 0.0407322i | ||||
\(999\) | 6.49871 | + | 11.2561i | 0.205610 | + | 0.356127i |
(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.171.6 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.f.591.8 | 24 | |||
7.5 | odd | 6 | 280.2.bj.f.131.3 | yes | 24 | ||
8.3 | odd | 2 | 280.2.bj.f.171.3 | yes | 24 | ||
8.5 | even | 2 | 1120.2.bz.e.591.8 | 24 | |||
28.19 | even | 6 | 1120.2.bz.e.271.8 | 24 | |||
56.5 | odd | 6 | 1120.2.bz.f.271.8 | 24 | |||
56.19 | even | 6 | inner | 280.2.bj.e.131.6 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.6 | ✓ | 24 | 56.19 | even | 6 | inner | |
280.2.bj.e.171.6 | yes | 24 | 1.1 | even | 1 | trivial | |
280.2.bj.f.131.3 | yes | 24 | 7.5 | odd | 6 | ||
280.2.bj.f.171.3 | yes | 24 | 8.3 | odd | 2 | ||
1120.2.bz.e.271.8 | 24 | 28.19 | even | 6 | |||
1120.2.bz.e.591.8 | 24 | 8.5 | even | 2 | |||
1120.2.bz.f.271.8 | 24 | 56.5 | odd | 6 | |||
1120.2.bz.f.591.8 | 24 | 4.3 | odd | 2 |