Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(43,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.s (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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 43.1 | ||
Character | \(\chi\) | \(=\) | 572.43 |
Dual form | 572.2.s.a.439.1 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41333 | + | 0.0501117i | −0.999372 | + | 0.0354343i | ||||
\(3\) | 1.83041 | + | 1.05679i | 1.05679 | + | 0.610135i | 0.924541 | − | 0.381082i | \(-0.124448\pi\) |
0.132244 | + | 0.991217i | \(0.457782\pi\) | |||||||
\(4\) | 1.99498 | − | 0.141648i | 0.997489 | − | 0.0708241i | ||||
\(5\) | − | 1.43229i | − | 0.640541i | −0.947326 | − | 0.320270i | \(-0.896226\pi\) | ||
0.947326 | − | 0.320270i | \(-0.103774\pi\) | |||||||
\(6\) | −2.63992 | − | 1.40186i | −1.07774 | − | 0.572306i | ||||
\(7\) | 1.20221 | − | 0.694098i | 0.454394 | − | 0.262345i | −0.255290 | − | 0.966865i | \(-0.582171\pi\) |
0.709684 | + | 0.704520i | \(0.248838\pi\) | |||||||
\(8\) | −2.81245 | + | 0.300167i | −0.994353 | + | 0.106125i | ||||
\(9\) | 0.733590 | + | 1.27062i | 0.244530 | + | 0.423539i | ||||
\(10\) | 0.0717746 | + | 2.02430i | 0.0226971 | + | 0.640139i | ||||
\(11\) | −2.37433 | − | 2.31572i | −0.715887 | − | 0.698216i | ||||
\(12\) | 3.80131 | + | 1.84899i | 1.09734 | + | 0.533757i | ||||
\(13\) | 3.58466 | + | 0.387551i | 0.994206 | + | 0.107487i | ||||
\(14\) | −1.66434 | + | 1.04123i | −0.444813 | + | 0.278281i | ||||
\(15\) | 1.51363 | − | 2.62168i | 0.390817 | − | 0.676914i | ||||
\(16\) | 3.95987 | − | 0.565170i | 0.989968 | − | 0.141293i | ||||
\(17\) | 4.51033 | − | 2.60404i | 1.09392 | − | 0.631572i | 0.159299 | − | 0.987230i | \(-0.449077\pi\) |
0.934616 | + | 0.355658i | \(0.115743\pi\) | |||||||
\(18\) | −1.10047 | − | 1.75903i | −0.259384 | − | 0.414608i | ||||
\(19\) | −0.671440 | + | 0.387656i | −0.154039 | + | 0.0889345i | −0.575038 | − | 0.818127i | \(-0.695013\pi\) |
0.420999 | + | 0.907061i | \(0.361680\pi\) | |||||||
\(20\) | −0.202882 | − | 2.85739i | −0.0453657 | − | 0.638932i | ||||
\(21\) | 2.93405 | 0.640263 | ||||||||
\(22\) | 3.47174 | + | 3.15388i | 0.740178 | + | 0.672411i | ||||
\(23\) | −0.988183 | − | 0.570528i | −0.206050 | − | 0.118963i | 0.393424 | − | 0.919357i | \(-0.371290\pi\) |
−0.599475 | + | 0.800394i | \(0.704624\pi\) | |||||||
\(24\) | −5.46514 | − | 2.42273i | −1.11557 | − | 0.494538i | ||||
\(25\) | 2.94854 | 0.589707 | ||||||||
\(26\) | −5.08572 | − | 0.368103i | −0.997391 | − | 0.0721908i | ||||
\(27\) | − | 3.23972i | − | 0.623485i | ||||||
\(28\) | 2.30007 | − | 1.55500i | 0.434673 | − | 0.293868i | ||||
\(29\) | 2.16167 | + | 1.24804i | 0.401412 | + | 0.231755i | 0.687093 | − | 0.726570i | \(-0.258887\pi\) |
−0.285681 | + | 0.958325i | \(0.592220\pi\) | |||||||
\(30\) | −2.00787 | + | 3.78113i | −0.366585 | + | 0.690337i | ||||
\(31\) | −6.07804 | −1.09165 | −0.545824 | − | 0.837900i | \(-0.683783\pi\) | ||||
−0.545824 | + | 0.837900i | \(0.683783\pi\) | |||||||
\(32\) | −5.56827 | + | 0.997205i | −0.984340 | + | 0.176283i | ||||
\(33\) | −1.89877 | − | 6.74786i | −0.330533 | − | 1.17465i | ||||
\(34\) | −6.24407 | + | 3.90637i | −1.07085 | + | 0.669938i | ||||
\(35\) | −0.994152 | − | 1.72192i | −0.168042 | − | 0.291058i | ||||
\(36\) | 1.64348 | + | 2.43094i | 0.273913 | + | 0.405156i | ||||
\(37\) | 3.48741 | + | 2.01346i | 0.573327 | + | 0.331010i | 0.758477 | − | 0.651700i | \(-0.225944\pi\) |
−0.185150 | + | 0.982710i | \(0.559277\pi\) | |||||||
\(38\) | 0.929538 | − | 0.581532i | 0.150791 | − | 0.0943369i | ||||
\(39\) | 6.15183 | + | 4.49759i | 0.985081 | + | 0.720191i | ||||
\(40\) | 0.429927 | + | 4.02826i | 0.0679774 | + | 0.636924i | ||||
\(41\) | 1.22138 | − | 2.11550i | 0.190748 | − | 0.330385i | −0.754750 | − | 0.656012i | \(-0.772242\pi\) |
0.945498 | + | 0.325627i | \(0.105575\pi\) | |||||||
\(42\) | −4.14677 | + | 0.147030i | −0.639861 | + | 0.0226873i | ||||
\(43\) | 2.82968 | + | 4.90115i | 0.431523 | + | 0.747419i | 0.997005 | − | 0.0773415i | \(-0.0246432\pi\) |
−0.565482 | + | 0.824761i | \(0.691310\pi\) | |||||||
\(44\) | −5.06475 | − | 4.28349i | −0.763540 | − | 0.645761i | ||||
\(45\) | 1.81989 | − | 1.05072i | 0.271294 | − | 0.156632i | ||||
\(46\) | 1.42521 | + | 0.756822i | 0.210136 | + | 0.111587i | ||||
\(47\) | −1.62915 | −0.237636 | −0.118818 | − | 0.992916i | \(-0.537911\pi\) | ||||
−0.118818 | + | 0.992916i | \(0.537911\pi\) | |||||||
\(48\) | 7.84544 | + | 3.15024i | 1.13239 | + | 0.454698i | ||||
\(49\) | −2.53645 | + | 4.39327i | −0.362351 | + | 0.627610i | ||||
\(50\) | −4.16724 | + | 0.147756i | −0.589337 | + | 0.0208959i | ||||
\(51\) | 11.0076 | 1.54138 | ||||||||
\(52\) | 7.20622 | + | 0.265395i | 0.999323 | + | 0.0368037i | ||||
\(53\) | −8.62658 | −1.18495 | −0.592476 | − | 0.805588i | \(-0.701849\pi\) | ||||
−0.592476 | + | 0.805588i | \(0.701849\pi\) | |||||||
\(54\) | 0.162348 | + | 4.57878i | 0.0220928 | + | 0.623093i | ||||
\(55\) | −3.31679 | + | 3.40074i | −0.447236 | + | 0.458555i | ||||
\(56\) | −3.17283 | + | 2.31298i | −0.423987 | + | 0.309086i | ||||
\(57\) | −1.63868 | −0.217048 | ||||||||
\(58\) | −3.11768 | − | 1.65556i | −0.409372 | − | 0.217386i | ||||
\(59\) | 4.63989 | + | 8.03652i | 0.604062 | + | 1.04627i | 0.992199 | + | 0.124664i | \(0.0397853\pi\) |
−0.388137 | + | 0.921602i | \(0.626881\pi\) | |||||||
\(60\) | 2.64829 | − | 5.44459i | 0.341893 | − | 0.702894i | ||||
\(61\) | 1.98293 | − | 1.14485i | 0.253888 | − | 0.146583i | −0.367655 | − | 0.929962i | \(-0.619839\pi\) |
0.621543 | + | 0.783380i | \(0.286506\pi\) | |||||||
\(62\) | 8.59025 | − | 0.304581i | 1.09096 | − | 0.0386818i | ||||
\(63\) | 1.76386 | + | 1.01837i | 0.222226 | + | 0.128302i | ||||
\(64\) | 7.81980 | − | 1.68841i | 0.977475 | − | 0.211051i | ||||
\(65\) | 0.555087 | − | 5.13429i | 0.0688501 | − | 0.636830i | ||||
\(66\) | 3.02172 | + | 9.44178i | 0.371948 | + | 1.16220i | ||||
\(67\) | 3.96158 | − | 6.86166i | 0.483984 | − | 0.838286i | −0.515846 | − | 0.856681i | \(-0.672522\pi\) |
0.999831 | + | 0.0183954i | \(0.00585578\pi\) | |||||||
\(68\) | 8.62915 | − | 5.83388i | 1.04644 | − | 0.707462i | ||||
\(69\) | −1.20585 | − | 2.08859i | −0.145167 | − | 0.251437i | ||||
\(70\) | 1.49135 | + | 2.38382i | 0.178250 | + | 0.284921i | ||||
\(71\) | −1.22543 | − | 2.12250i | −0.145431 | − | 0.251894i | 0.784102 | − | 0.620631i | \(-0.213124\pi\) |
−0.929534 | + | 0.368737i | \(0.879790\pi\) | |||||||
\(72\) | −2.44459 | − | 3.35335i | −0.288097 | − | 0.395196i | ||||
\(73\) | 6.14099 | 0.718748 | 0.359374 | − | 0.933194i | \(-0.382990\pi\) | ||||
0.359374 | + | 0.933194i | \(0.382990\pi\) | |||||||
\(74\) | −5.02974 | − | 2.67091i | −0.584696 | − | 0.310487i | ||||
\(75\) | 5.39702 | + | 3.11597i | 0.623194 | + | 0.359801i | ||||
\(76\) | −1.28460 | + | 0.868474i | −0.147353 | + | 0.0996208i | ||||
\(77\) | −4.46179 | − | 1.13597i | −0.508468 | − | 0.129456i | ||||
\(78\) | −8.91992 | − | 6.04829i | −1.00998 | − | 0.684834i | ||||
\(79\) | −6.79495 | −0.764492 | −0.382246 | − | 0.924061i | \(-0.624849\pi\) | ||||
−0.382246 | + | 0.924061i | \(0.624849\pi\) | |||||||
\(80\) | −0.809489 | − | 5.67170i | −0.0905037 | − | 0.634115i | ||||
\(81\) | 5.62446 | − | 9.74185i | 0.624940 | − | 1.08243i | ||||
\(82\) | −1.62020 | + | 3.05109i | −0.178921 | + | 0.336936i | ||||
\(83\) | 1.65354i | 0.181499i | 0.995874 | + | 0.0907496i | \(0.0289263\pi\) | ||||
−0.995874 | + | 0.0907496i | \(0.971074\pi\) | |||||||
\(84\) | 5.85337 | − | 0.415603i | 0.638655 | − | 0.0453460i | ||||
\(85\) | −3.72975 | − | 6.46011i | −0.404548 | − | 0.700697i | ||||
\(86\) | −4.24487 | − | 6.78513i | −0.457736 | − | 0.731659i | ||||
\(87\) | 2.63782 | + | 4.56884i | 0.282804 | + | 0.489831i | ||||
\(88\) | 7.37279 | + | 5.80016i | 0.785943 | + | 0.618299i | ||||
\(89\) | 12.2892 | + | 7.09517i | 1.30265 | + | 0.752087i | 0.980858 | − | 0.194723i | \(-0.0623808\pi\) |
0.321794 | + | 0.946810i | \(0.395714\pi\) | |||||||
\(90\) | −2.51945 | + | 1.57620i | −0.265573 | + | 0.166146i | ||||
\(91\) | 4.57853 | − | 2.02219i | 0.479960 | − | 0.211983i | ||||
\(92\) | −2.05222 | − | 0.998216i | −0.213958 | − | 0.104071i | ||||
\(93\) | −11.1253 | − | 6.42319i | −1.15364 | − | 0.666054i | ||||
\(94\) | 2.30252 | − | 0.0816395i | 0.237487 | − | 0.00842047i | ||||
\(95\) | 0.555238 | + | 0.961700i | 0.0569662 | + | 0.0986683i | ||||
\(96\) | −11.2460 | − | 4.05917i | −1.14779 | − | 0.414287i | ||||
\(97\) | −6.21157 | + | 3.58625i | −0.630690 | + | 0.364129i | −0.781019 | − | 0.624507i | \(-0.785300\pi\) |
0.150329 | + | 0.988636i | \(0.451967\pi\) | |||||||
\(98\) | 3.36468 | − | 6.33622i | 0.339884 | − | 0.640055i | ||||
\(99\) | 1.20061 | − | 4.71565i | 0.120665 | − | 0.473941i | ||||
\(100\) | 5.88226 | − | 0.417655i | 0.588226 | − | 0.0417655i | ||||
\(101\) | 9.22521 | + | 5.32618i | 0.917942 | + | 0.529974i | 0.882978 | − | 0.469414i | \(-0.155535\pi\) |
0.0349643 | + | 0.999389i | \(0.488868\pi\) | |||||||
\(102\) | −15.5574 | + | 0.551611i | −1.54041 | + | 0.0546177i | ||||
\(103\) | 6.31305i | 0.622044i | 0.950403 | + | 0.311022i | \(0.100671\pi\) | ||||
−0.950403 | + | 0.311022i | \(0.899329\pi\) | |||||||
\(104\) | −10.1980 | − | 0.0139737i | −0.999999 | − | 0.00137023i | ||||
\(105\) | − | 4.20242i | − | 0.410114i | ||||||
\(106\) | 12.1922 | − | 0.432292i | 1.18421 | − | 0.0419879i | ||||
\(107\) | −7.28214 | + | 12.6130i | −0.703991 | + | 1.21935i | 0.263064 | + | 0.964778i | \(0.415267\pi\) |
−0.967055 | + | 0.254569i | \(0.918066\pi\) | |||||||
\(108\) | −0.458901 | − | 6.46317i | −0.0441578 | − | 0.621919i | ||||
\(109\) | −15.7408 | −1.50770 | −0.753849 | − | 0.657048i | \(-0.771805\pi\) | ||||
−0.753849 | + | 0.657048i | \(0.771805\pi\) | |||||||
\(110\) | 4.51729 | − | 4.97256i | 0.430706 | − | 0.474115i | ||||
\(111\) | 4.25558 | + | 7.37089i | 0.403922 | + | 0.699614i | ||||
\(112\) | 4.36833 | − | 3.42800i | 0.412768 | − | 0.323915i | ||||
\(113\) | −7.83174 | − | 13.5650i | −0.736748 | − | 1.27608i | −0.953952 | − | 0.299958i | \(-0.903027\pi\) |
0.217205 | − | 0.976126i | \(-0.430306\pi\) | |||||||
\(114\) | 2.31599 | − | 0.0821169i | 0.216912 | − | 0.00769095i | ||||
\(115\) | −0.817163 | + | 1.41537i | −0.0762008 | + | 0.131984i | ||||
\(116\) | 4.48926 | + | 2.18361i | 0.416818 | + | 0.202744i | ||||
\(117\) | 2.13724 | + | 4.83903i | 0.197588 | + | 0.447369i | ||||
\(118\) | −6.96039 | − | 11.1257i | −0.640756 | − | 1.02420i | ||||
\(119\) | 3.61492 | − | 6.26122i | 0.331379 | − | 0.573965i | ||||
\(120\) | −3.47006 | + | 7.82769i | −0.316772 | + | 0.714567i | ||||
\(121\) | 0.274878 | + | 10.9966i | 0.0249890 | + | 0.999688i | ||||
\(122\) | −2.74516 | + | 1.71741i | −0.248535 | + | 0.155487i | ||||
\(123\) | 4.47125 | − | 2.58148i | 0.403159 | − | 0.232764i | ||||
\(124\) | −12.1256 | + | 0.860944i | −1.08891 | + | 0.0773151i | ||||
\(125\) | − | 11.3846i | − | 1.01827i | ||||||
\(126\) | −2.54395 | − | 1.35089i | −0.226633 | − | 0.120347i | ||||
\(127\) | −6.67075 | + | 11.5541i | −0.591933 | + | 1.02526i | 0.402039 | + | 0.915623i | \(0.368302\pi\) |
−0.993972 | + | 0.109636i | \(0.965032\pi\) | |||||||
\(128\) | −10.9673 | + | 2.77814i | −0.969383 | + | 0.245555i | ||||
\(129\) | 11.9615i | 1.05315i | ||||||||
\(130\) | −0.527231 | + | 7.28424i | −0.0462412 | + | 0.638870i | ||||
\(131\) | −4.60687 | −0.402504 | −0.201252 | − | 0.979539i | \(-0.564501\pi\) | ||||
−0.201252 | + | 0.979539i | \(0.564501\pi\) | |||||||
\(132\) | −4.74382 | − | 13.1929i | −0.412897 | − | 1.14829i | ||||
\(133\) | −0.538143 | + | 0.932092i | −0.0466629 | + | 0.0808226i | ||||
\(134\) | −5.25516 | + | 9.89629i | −0.453976 | + | 0.854909i | ||||
\(135\) | −4.64023 | −0.399368 | ||||||||
\(136\) | −11.9034 | + | 8.67759i | −1.02071 | + | 0.744097i | ||||
\(137\) | −12.4900 | + | 7.21111i | −1.06709 | + | 0.616087i | −0.927386 | − | 0.374106i | \(-0.877950\pi\) |
−0.139707 | + | 0.990193i | \(0.544616\pi\) | |||||||
\(138\) | 1.80892 | + | 2.89144i | 0.153986 | + | 0.246135i | ||||
\(139\) | −4.20251 | − | 7.27897i | −0.356452 | − | 0.617394i | 0.630913 | − | 0.775854i | \(-0.282681\pi\) |
−0.987365 | + | 0.158460i | \(0.949347\pi\) | |||||||
\(140\) | −2.22722 | − | 3.29438i | −0.188234 | − | 0.278426i | ||||
\(141\) | −2.98201 | − | 1.72166i | −0.251130 | − | 0.144990i | ||||
\(142\) | 1.83829 | + | 2.93838i | 0.154266 | + | 0.246583i | ||||
\(143\) | −7.61371 | − | 9.22125i | −0.636690 | − | 0.771120i | ||||
\(144\) | 3.62304 | + | 4.61687i | 0.301920 | + | 0.384739i | ||||
\(145\) | 1.78756 | − | 3.09614i | 0.148449 | − | 0.257121i | ||||
\(146\) | −8.67922 | + | 0.307735i | −0.718297 | + | 0.0254684i | ||||
\(147\) | −9.28548 | + | 5.36098i | −0.765854 | + | 0.442166i | ||||
\(148\) | 7.24251 | + | 3.52282i | 0.595330 | + | 0.289574i | ||||
\(149\) | 5.06858 | + | 8.77904i | 0.415234 | + | 0.719207i | 0.995453 | − | 0.0952538i | \(-0.0303663\pi\) |
−0.580219 | + | 0.814461i | \(0.697033\pi\) | |||||||
\(150\) | −7.78389 | − | 4.13343i | −0.635552 | − | 0.337493i | ||||
\(151\) | − | 10.1238i | − | 0.823866i | −0.911214 | − | 0.411933i | \(-0.864854\pi\) | ||
0.911214 | − | 0.411933i | \(-0.135146\pi\) | |||||||
\(152\) | 1.77203 | − | 1.29181i | 0.143731 | − | 0.104780i | ||||
\(153\) | 6.61746 | + | 3.82059i | 0.534990 | + | 0.308877i | ||||
\(154\) | 6.36289 | + | 1.38191i | 0.512736 | + | 0.111358i | ||||
\(155\) | 8.70554i | 0.699246i | ||||||||
\(156\) | 12.9098 | + | 8.10120i | 1.03361 | + | 0.648615i | ||||
\(157\) | −9.10897 | −0.726975 | −0.363487 | − | 0.931599i | \(-0.618414\pi\) | ||||
−0.363487 | + | 0.931599i | \(0.618414\pi\) | |||||||
\(158\) | 9.60348 | − | 0.340506i | 0.764011 | − | 0.0270892i | ||||
\(159\) | −15.7901 | − | 9.11644i | −1.25224 | − | 0.722981i | ||||
\(160\) | 1.42829 | + | 7.97539i | 0.112916 | + | 0.630510i | ||||
\(161\) | −1.58401 | −0.124837 | ||||||||
\(162\) | −7.46101 | + | 14.0503i | −0.586193 | + | 1.10389i | ||||
\(163\) | 10.9298 | + | 18.9309i | 0.856085 | + | 1.48278i | 0.875635 | + | 0.482974i | \(0.160443\pi\) |
−0.0195499 | + | 0.999809i | \(0.506223\pi\) | |||||||
\(164\) | 2.13697 | − | 4.39337i | 0.166870 | − | 0.343065i | ||||
\(165\) | −9.66492 | + | 2.71959i | −0.752413 | + | 0.211720i | ||||
\(166\) | −0.0828615 | − | 2.33698i | −0.00643130 | − | 0.181385i | ||||
\(167\) | −19.0798 | − | 11.0157i | −1.47644 | − | 0.852424i | −0.476796 | − | 0.879014i | \(-0.658202\pi\) |
−0.999646 | + | 0.0265898i | \(0.991535\pi\) | |||||||
\(168\) | −8.25189 | + | 0.880705i | −0.636647 | + | 0.0679479i | ||||
\(169\) | 12.6996 | + | 2.77848i | 0.976893 | + | 0.213729i | ||||
\(170\) | 5.59507 | + | 8.94334i | 0.429123 | + | 0.685923i | ||||
\(171\) | −0.985124 | − | 0.568762i | −0.0753343 | − | 0.0434943i | ||||
\(172\) | 6.33939 | + | 9.37687i | 0.483374 | + | 0.714980i | ||||
\(173\) | −10.1153 | + | 5.84008i | −0.769053 | + | 0.444013i | −0.832537 | − | 0.553970i | \(-0.813112\pi\) |
0.0634840 | + | 0.997983i | \(0.479779\pi\) | |||||||
\(174\) | −3.95705 | − | 6.32507i | −0.299983 | − | 0.479502i | ||||
\(175\) | 3.54477 | − | 2.04657i | 0.267959 | − | 0.154706i | ||||
\(176\) | −10.7108 | − | 7.82806i | −0.807358 | − | 0.590062i | ||||
\(177\) | 19.6135i | 1.47424i | ||||||||
\(178\) | −17.7242 | − | 9.41195i | −1.32848 | − | 0.705456i | ||||
\(179\) | −0.846167 | − | 0.488535i | −0.0632455 | − | 0.0365148i | 0.468044 | − | 0.883705i | \(-0.344959\pi\) |
−0.531289 | + | 0.847190i | \(0.678292\pi\) | |||||||
\(180\) | 3.48182 | − | 2.35394i | 0.259519 | − | 0.175452i | ||||
\(181\) | −13.2834 | −0.987345 | −0.493672 | − | 0.869648i | \(-0.664346\pi\) | ||||
−0.493672 | + | 0.869648i | \(0.664346\pi\) | |||||||
\(182\) | −6.36962 | + | 3.08745i | −0.472147 | + | 0.228857i | ||||
\(183\) | 4.83943 | 0.357741 | ||||||||
\(184\) | 2.95047 | + | 1.30796i | 0.217512 | + | 0.0964244i | ||||
\(185\) | 2.88386 | − | 4.99499i | 0.212026 | − | 0.367239i | ||||
\(186\) | 16.0455 | + | 8.52055i | 1.17652 | + | 0.624757i | ||||
\(187\) | −16.7392 | − | 4.26181i | −1.22409 | − | 0.311655i | ||||
\(188\) | −3.25012 | + | 0.230766i | −0.237039 | + | 0.0168304i | ||||
\(189\) | −2.24869 | − | 3.89484i | −0.163568 | − | 0.283308i | ||||
\(190\) | −0.832924 | − | 1.33137i | −0.0604266 | − | 0.0965878i | ||||
\(191\) | −20.7049 | + | 11.9540i | −1.49816 | + | 0.864960i | −0.999998 | − | 0.00212616i | \(-0.999323\pi\) |
−0.498158 | + | 0.867087i | \(0.665990\pi\) | |||||||
\(192\) | 16.0977 | + | 5.17337i | 1.16175 | + | 0.373356i | ||||
\(193\) | 3.80883 | − | 6.59709i | 0.274166 | − | 0.474869i | −0.695759 | − | 0.718276i | \(-0.744932\pi\) |
0.969924 | + | 0.243407i | \(0.0782650\pi\) | |||||||
\(194\) | 8.59926 | − | 5.37982i | 0.617391 | − | 0.386248i | ||||
\(195\) | 6.44187 | − | 8.81122i | 0.461312 | − | 0.630985i | ||||
\(196\) | −4.43787 | + | 9.12376i | −0.316991 | + | 0.651697i | ||||
\(197\) | 6.72287 | − | 11.6443i | 0.478984 | − | 0.829625i | −0.520725 | − | 0.853724i | \(-0.674338\pi\) |
0.999710 | + | 0.0240990i | \(0.00767168\pi\) | |||||||
\(198\) | −1.46054 | + | 6.72491i | −0.103796 | + | 0.477919i | ||||
\(199\) | 18.8637 | − | 10.8910i | 1.33721 | − | 0.772040i | 0.350820 | − | 0.936443i | \(-0.385903\pi\) |
0.986393 | + | 0.164403i | \(0.0525696\pi\) | |||||||
\(200\) | −8.29262 | + | 0.885053i | −0.586377 | + | 0.0625827i | ||||
\(201\) | 14.5026 | − | 8.37309i | 1.02294 | − | 0.590592i | ||||
\(202\) | −13.3051 | − | 7.06533i | −0.936145 | − | 0.497115i | ||||
\(203\) | 3.46505 | 0.243199 | ||||||||
\(204\) | 21.9600 | − | 1.55921i | 1.53751 | − | 0.109167i | ||||
\(205\) | −3.03001 | − | 1.74938i | −0.211625 | − | 0.122182i | ||||
\(206\) | −0.316358 | − | 8.92240i | −0.0220417 | − | 0.621653i | ||||
\(207\) | − | 1.67413i | − | 0.116360i | ||||||
\(208\) | 14.4138 | − | 0.491291i | 0.999420 | − | 0.0340649i | ||||
\(209\) | 2.49192 | + | 0.634445i | 0.172370 | + | 0.0438855i | ||||
\(210\) | 0.210590 | + | 5.93939i | 0.0145321 | + | 0.409857i | ||||
\(211\) | 12.0927 | − | 20.9452i | 0.832497 | − | 1.44193i | −0.0635556 | − | 0.997978i | \(-0.520244\pi\) |
0.896052 | − | 0.443948i | \(-0.146423\pi\) | |||||||
\(212\) | −17.2098 | + | 1.22194i | −1.18198 | + | 0.0839231i | ||||
\(213\) | − | 5.18005i | − | 0.354931i | ||||||
\(214\) | 9.65997 | − | 18.1912i | 0.660342 | − | 1.24353i | ||||
\(215\) | 7.01989 | − | 4.05294i | 0.478753 | − | 0.276408i | ||||
\(216\) | 0.972457 | + | 9.11157i | 0.0661673 | + | 0.619964i | ||||
\(217\) | −7.30711 | + | 4.21876i | −0.496039 | + | 0.286388i | ||||
\(218\) | 22.2469 | − | 0.788799i | 1.50675 | − | 0.0534242i | ||||
\(219\) | 11.2405 | + | 6.48971i | 0.759563 | + | 0.438534i | ||||
\(220\) | −6.13521 | + | 7.25421i | −0.413636 | + | 0.489079i | ||||
\(221\) | 17.1772 | − | 7.58662i | 1.15546 | − | 0.510331i | ||||
\(222\) | −6.38389 | − | 10.2042i | −0.428459 | − | 0.684862i | ||||
\(223\) | 11.8141 | − | 20.4625i | 0.791128 | − | 1.37027i | −0.134141 | − | 0.990962i | \(-0.542828\pi\) |
0.925269 | − | 0.379311i | \(-0.123839\pi\) | |||||||
\(224\) | −6.00209 | + | 5.06378i | −0.401031 | + | 0.338338i | ||||
\(225\) | 2.16302 | + | 3.74646i | 0.144201 | + | 0.249764i | ||||
\(226\) | 11.7486 | + | 18.7792i | 0.781502 | + | 1.24918i | ||||
\(227\) | −12.6568 | + | 7.30742i | −0.840063 | + | 0.485010i | −0.857286 | − | 0.514841i | \(-0.827851\pi\) |
0.0172229 | + | 0.999852i | \(0.494518\pi\) | |||||||
\(228\) | −3.26913 | + | 0.232116i | −0.216503 | + | 0.0153722i | ||||
\(229\) | 28.1523i | 1.86036i | 0.367105 | + | 0.930179i | \(0.380349\pi\) | ||||
−0.367105 | + | 0.930179i | \(0.619651\pi\) | |||||||
\(230\) | 1.08399 | − | 2.04132i | 0.0714762 | − | 0.134601i | ||||
\(231\) | −6.96641 | − | 6.79444i | −0.458356 | − | 0.447042i | ||||
\(232\) | −6.45421 | − | 2.86119i | −0.423740 | − | 0.187847i | ||||
\(233\) | 13.1352i | 0.860518i | 0.902705 | + | 0.430259i | \(0.141578\pi\) | ||||
−0.902705 | + | 0.430259i | \(0.858422\pi\) | |||||||
\(234\) | −3.26311 | − | 6.73203i | −0.213316 | − | 0.440086i | ||||
\(235\) | 2.33342i | 0.152216i | ||||||||
\(236\) | 10.3948 | + | 15.3754i | 0.676646 | + | 1.00086i | ||||
\(237\) | −12.4375 | − | 7.18080i | −0.807903 | − | 0.466443i | ||||
\(238\) | −4.79530 | + | 9.03029i | −0.310833 | + | 0.585347i | ||||
\(239\) | − | 1.38158i | − | 0.0893671i | −0.999001 | − | 0.0446836i | \(-0.985772\pi\) | ||
0.999001 | − | 0.0446836i | \(-0.0142280\pi\) | |||||||
\(240\) | 4.51207 | − | 11.2370i | 0.291253 | − | 0.725343i | ||||
\(241\) | 2.48238 | + | 4.29961i | 0.159904 | + | 0.276962i | 0.934834 | − | 0.355085i | \(-0.115548\pi\) |
−0.774930 | + | 0.632047i | \(0.782215\pi\) | |||||||
\(242\) | −0.939549 | − | 15.5280i | −0.0603965 | − | 0.998174i | ||||
\(243\) | 12.1730 | − | 7.02811i | 0.780901 | − | 0.450854i | ||||
\(244\) | 3.79374 | − | 2.56482i | 0.242869 | − | 0.164196i | ||||
\(245\) | 6.29245 | + | 3.63295i | 0.402010 | + | 0.232100i | ||||
\(246\) | −6.18997 | + | 3.87253i | −0.394658 | + | 0.246903i | ||||
\(247\) | −2.55712 | + | 1.12940i | −0.162706 | + | 0.0718620i | ||||
\(248\) | 17.0942 | − | 1.82443i | 1.08548 | − | 0.115851i | ||||
\(249\) | −1.74743 | + | 3.02664i | −0.110739 | + | 0.191806i | ||||
\(250\) | 0.570503 | + | 16.0902i | 0.0360818 | + | 1.01763i | ||||
\(251\) | 12.4402 | − | 7.18238i | 0.785221 | − | 0.453348i | −0.0530562 | − | 0.998592i | \(-0.516896\pi\) |
0.838278 | + | 0.545244i | \(0.183563\pi\) | |||||||
\(252\) | 3.66312 | + | 1.78177i | 0.230755 | + | 0.112241i | ||||
\(253\) | 1.02509 | + | 3.64298i | 0.0644468 | + | 0.229032i | ||||
\(254\) | 8.84894 | − | 16.6640i | 0.555232 | − | 1.04559i | ||||
\(255\) | − | 15.7662i | − | 0.987316i | ||||||
\(256\) | 15.3612 | − | 4.47600i | 0.960073 | − | 0.279750i | ||||
\(257\) | 11.0310 | − | 19.1063i | 0.688097 | − | 1.19182i | −0.284356 | − | 0.958719i | \(-0.591780\pi\) |
0.972453 | − | 0.233100i | \(-0.0748868\pi\) | |||||||
\(258\) | −0.599409 | − | 16.9054i | −0.0373176 | − | 1.05249i | ||||
\(259\) | 5.59015 | 0.347355 | ||||||||
\(260\) | 0.380123 | − | 10.3214i | 0.0235742 | − | 0.640107i | ||||
\(261\) | 3.66220i | 0.226684i | ||||||||
\(262\) | 6.51101 | − | 0.230858i | 0.402252 | − | 0.0142625i | ||||
\(263\) | −0.753333 | + | 1.30481i | −0.0464525 | + | 0.0804580i | −0.888317 | − | 0.459231i | \(-0.848125\pi\) |
0.841864 | + | 0.539689i | \(0.181458\pi\) | |||||||
\(264\) | 7.36568 | + | 18.4081i | 0.453326 | + | 1.13294i | ||||
\(265\) | 12.3558i | 0.759010i | ||||||||
\(266\) | 0.713863 | − | 1.34432i | 0.0437697 | − | 0.0824253i | ||||
\(267\) | 14.9961 | + | 25.9741i | 0.917749 | + | 1.58959i | ||||
\(268\) | 6.93133 | − | 14.2500i | 0.423398 | − | 0.870458i | ||||
\(269\) | −3.57910 | − | 6.19918i | −0.218221 | − | 0.377971i | 0.736043 | − | 0.676935i | \(-0.236692\pi\) |
−0.954264 | + | 0.298964i | \(0.903359\pi\) | |||||||
\(270\) | 6.55816 | − | 0.232530i | 0.399117 | − | 0.0141513i | ||||
\(271\) | −15.0948 | − | 8.71498i | −0.916943 | − | 0.529397i | −0.0342847 | − | 0.999412i | \(-0.510915\pi\) |
−0.882659 | + | 0.470015i | \(0.844249\pi\) | |||||||
\(272\) | 16.3886 | − | 12.8608i | 0.993704 | − | 0.779798i | ||||
\(273\) | 10.5176 | + | 1.13710i | 0.636553 | + | 0.0688201i | ||||
\(274\) | 17.2911 | − | 10.8175i | 1.04459 | − | 0.653511i | ||||
\(275\) | −7.00080 | − | 6.82799i | −0.422164 | − | 0.411743i | ||||
\(276\) | −2.70149 | − | 3.99589i | −0.162611 | − | 0.240524i | ||||
\(277\) | −26.8012 | + | 15.4737i | −1.61033 | + | 0.929722i | −0.621033 | + | 0.783785i | \(0.713287\pi\) |
−0.989294 | + | 0.145938i | \(0.953380\pi\) | |||||||
\(278\) | 6.30428 | + | 10.0770i | 0.378106 | + | 0.604375i | ||||
\(279\) | −4.45879 | − | 7.72286i | −0.266941 | − | 0.462355i | ||||
\(280\) | 3.31287 | + | 4.54442i | 0.197982 | + | 0.271581i | ||||
\(281\) | 2.32611 | 0.138764 | 0.0693819 | − | 0.997590i | \(-0.477897\pi\) | ||||
0.0693819 | + | 0.997590i | \(0.477897\pi\) | |||||||
\(282\) | 4.30082 | + | 2.28384i | 0.256110 | + | 0.136000i | ||||
\(283\) | 6.10074 | − | 10.5668i | 0.362651 | − | 0.628130i | −0.625745 | − | 0.780028i | \(-0.715205\pi\) |
0.988396 | + | 0.151897i | \(0.0485383\pi\) | |||||||
\(284\) | −2.74535 | − | 4.06076i | −0.162906 | − | 0.240962i | ||||
\(285\) | 2.34707i | 0.139028i | ||||||||
\(286\) | 11.2227 | + | 12.6511i | 0.663615 | + | 0.748075i | ||||
\(287\) | − | 3.39104i | − | 0.200167i | ||||||
\(288\) | −5.35189 | − | 6.34358i | −0.315363 | − | 0.373799i | ||||
\(289\) | 5.06204 | − | 8.76771i | 0.297767 | − | 0.515747i | ||||
\(290\) | −2.37125 | + | 4.46543i | −0.139245 | + | 0.262219i | ||||
\(291\) | −15.1596 | −0.888672 | ||||||||
\(292\) | 12.2511 | − | 0.869860i | 0.716943 | − | 0.0509047i | ||||
\(293\) | −2.72394 | − | 4.71801i | −0.159135 | − | 0.275629i | 0.775422 | − | 0.631443i | \(-0.217537\pi\) |
−0.934557 | + | 0.355814i | \(0.884204\pi\) | |||||||
\(294\) | 12.8548 | − | 8.04212i | 0.749705 | − | 0.469026i | ||||
\(295\) | 11.5107 | − | 6.64568i | 0.670176 | − | 0.386926i | ||||
\(296\) | −10.4126 | − | 4.61595i | −0.605217 | − | 0.268297i | ||||
\(297\) | −7.50229 | + | 7.69217i | −0.435327 | + | 0.446345i | ||||
\(298\) | −7.60349 | − | 12.1536i | −0.440458 | − | 0.704042i | ||||
\(299\) | −3.32119 | − | 2.42812i | −0.192070 | − | 0.140422i | ||||
\(300\) | 11.2083 | + | 5.45181i | 0.647112 | + | 0.314761i | ||||
\(301\) | 6.80377 | + | 3.92816i | 0.392163 | + | 0.226415i | ||||
\(302\) | 0.507322 | + | 14.3083i | 0.0291931 | + | 0.823348i | ||||
\(303\) | 11.2572 | + | 19.4981i | 0.646712 | + | 1.12014i | ||||
\(304\) | −2.43973 | + | 1.91455i | −0.139928 | + | 0.109807i | ||||
\(305\) | −1.63976 | − | 2.84014i | −0.0938921 | − | 0.162626i | ||||
\(306\) | −9.54409 | − | 5.06813i | −0.545599 | − | 0.289726i | ||||
\(307\) | 14.6463i | 0.835906i | 0.908469 | + | 0.417953i | \(0.137252\pi\) | ||||
−0.908469 | + | 0.417953i | \(0.862748\pi\) | |||||||
\(308\) | −9.06208 | − | 1.63424i | −0.516360 | − | 0.0931192i | ||||
\(309\) | −6.67154 | + | 11.5554i | −0.379531 | + | 0.657366i | ||||
\(310\) | −0.436249 | − | 12.3038i | −0.0247773 | − | 0.698807i | ||||
\(311\) | 3.30086i | 0.187175i | 0.995611 | + | 0.0935874i | \(0.0298334\pi\) | ||||
−0.995611 | + | 0.0935874i | \(0.970167\pi\) | |||||||
\(312\) | −18.6518 | − | 10.8027i | −1.05595 | − | 0.611583i | ||||
\(313\) | −2.15580 | −0.121853 | −0.0609264 | − | 0.998142i | \(-0.519405\pi\) | ||||
−0.0609264 | + | 0.998142i | \(0.519405\pi\) | |||||||
\(314\) | 12.8739 | − | 0.456466i | 0.726518 | − | 0.0257599i | ||||
\(315\) | 1.45860 | − | 2.52637i | 0.0821829 | − | 0.142345i | ||||
\(316\) | −13.5558 | + | 0.962493i | −0.762572 | + | 0.0541444i | ||||
\(317\) | 10.9465i | 0.614814i | 0.951578 | + | 0.307407i | \(0.0994613\pi\) | ||||
−0.951578 | + | 0.307407i | \(0.900539\pi\) | |||||||
\(318\) | 22.7734 | + | 12.0932i | 1.27707 | + | 0.678154i | ||||
\(319\) | −2.24240 | − | 7.96908i | −0.125550 | − | 0.446183i | ||||
\(320\) | −2.41830 | − | 11.2002i | −0.135187 | − | 0.626113i | ||||
\(321\) | −26.6585 | + | 15.3913i | −1.48793 | + | 0.859059i | ||||
\(322\) | 2.23872 | − | 0.0793774i | 0.124759 | − | 0.00442353i | ||||
\(323\) | −2.01894 | + | 3.49691i | −0.112337 | + | 0.194574i | ||||
\(324\) | 9.84076 | − | 20.2315i | 0.546709 | − | 1.12397i | ||||
\(325\) | 10.5695 | + | 1.14271i | 0.586291 | + | 0.0633861i | ||||
\(326\) | −16.3960 | − | 26.2078i | −0.908089 | − | 1.45152i | ||||
\(327\) | −28.8121 | − | 16.6347i | −1.59331 | − | 0.919899i | ||||
\(328\) | −2.80008 | + | 6.31635i | −0.154609 | + | 0.348762i | ||||
\(329\) | −1.95859 | + | 1.13079i | −0.107980 | + | 0.0623425i | ||||
\(330\) | 13.5234 | − | 4.32799i | 0.744438 | − | 0.238248i | ||||
\(331\) | 11.3144 | + | 19.5970i | 0.621893 | + | 1.07715i | 0.989133 | + | 0.147025i | \(0.0469696\pi\) |
−0.367239 | + | 0.930126i | \(0.619697\pi\) | |||||||
\(332\) | 0.234220 | + | 3.29877i | 0.0128545 | + | 0.181043i | ||||
\(333\) | 5.90821i | 0.323768i | ||||||||
\(334\) | 27.5180 | + | 14.6127i | 1.50572 | + | 0.799572i | ||||
\(335\) | −9.82792 | − | 5.67415i | −0.536956 | − | 0.310012i | ||||
\(336\) | 11.6185 | − | 1.65824i | 0.633839 | − | 0.0904643i | ||||
\(337\) | − | 16.5298i | − | 0.900437i | −0.892918 | − | 0.450219i | \(-0.851346\pi\) | ||
0.892918 | − | 0.450219i | \(-0.148654\pi\) | |||||||
\(338\) | −18.0879 | − | 3.29050i | −0.983853 | − | 0.178980i | ||||
\(339\) | − | 33.1059i | − | 1.79806i | ||||||
\(340\) | −8.35583 | − | 12.3595i | −0.453158 | − | 0.670286i | ||||
\(341\) | 14.4313 | + | 14.0751i | 0.781498 | + | 0.762207i | ||||
\(342\) | 1.42080 | + | 0.754479i | 0.0768282 | + | 0.0407976i | ||||
\(343\) | 16.7596i | 0.904932i | ||||||||
\(344\) | −9.42952 | − | 12.9349i | −0.508406 | − | 0.697403i | ||||
\(345\) | −2.99148 | + | 1.72713i | −0.161056 | + | 0.0929856i | ||||
\(346\) | 14.0036 | − | 8.76082i | 0.752836 | − | 0.470985i | ||||
\(347\) | 9.97956 | + | 17.2851i | 0.535731 | + | 0.927913i | 0.999128 | + | 0.0417623i | \(0.0132972\pi\) |
−0.463397 | + | 0.886151i | \(0.653369\pi\) | |||||||
\(348\) | 5.90956 | + | 8.74109i | 0.316786 | + | 0.468571i | ||||
\(349\) | 12.8291 | − | 22.2206i | 0.686724 | − | 1.18944i | −0.286168 | − | 0.958179i | \(-0.592382\pi\) |
0.972892 | − | 0.231261i | \(-0.0742850\pi\) | |||||||
\(350\) | −4.90736 | + | 3.07011i | −0.262309 | + | 0.164104i | ||||
\(351\) | 1.25556 | − | 11.6133i | 0.0670167 | − | 0.619873i | ||||
\(352\) | 15.5301 | + | 10.5269i | 0.827759 | + | 0.561083i | ||||
\(353\) | −2.81721 | − | 1.62651i | −0.149945 | − | 0.0865706i | 0.423150 | − | 0.906059i | \(-0.360924\pi\) |
−0.573095 | + | 0.819489i | \(0.694257\pi\) | |||||||
\(354\) | −0.982863 | − | 27.7202i | −0.0522386 | − | 1.47331i | ||||
\(355\) | −3.04004 | + | 1.75517i | −0.161349 | + | 0.0931547i | ||||
\(356\) | 25.5217 | + | 12.4140i | 1.35265 | + | 0.657939i | ||||
\(357\) | 13.2335 | − | 7.64039i | 0.700393 | − | 0.404372i | ||||
\(358\) | 1.22039 | + | 0.648056i | 0.0644996 | + | 0.0342508i | ||||
\(359\) | 35.0539i | 1.85007i | 0.379879 | + | 0.925036i | \(0.375966\pi\) | ||||
−0.379879 | + | 0.925036i | \(0.624034\pi\) | |||||||
\(360\) | −4.80298 | + | 3.50136i | −0.253139 | + | 0.184538i | ||||
\(361\) | −9.19945 | + | 15.9339i | −0.484181 | + | 0.838627i | ||||
\(362\) | 18.7737 | − | 0.665652i | 0.986725 | − | 0.0349859i | ||||
\(363\) | −11.1179 | + | 20.4187i | −0.583537 | + | 1.07170i | ||||
\(364\) | 8.84762 | − | 4.68276i | 0.463741 | − | 0.245443i | ||||
\(365\) | − | 8.79570i | − | 0.460388i | ||||||
\(366\) | −6.83969 | + | 0.242512i | −0.357516 | + | 0.0126763i | ||||
\(367\) | −1.10232 | − | 0.636425i | −0.0575407 | − | 0.0332211i | 0.470954 | − | 0.882158i | \(-0.343910\pi\) |
−0.528494 | + | 0.848937i | \(0.677243\pi\) | |||||||
\(368\) | −4.23552 | − | 1.70073i | −0.220792 | − | 0.0886564i | ||||
\(369\) | 3.58398 | 0.186574 | ||||||||
\(370\) | −3.82553 | + | 7.20407i | −0.198880 | + | 0.374522i | ||||
\(371\) | −10.3710 | + | 5.98769i | −0.538435 | + | 0.310865i | ||||
\(372\) | −23.1045 | − | 11.2382i | −1.19791 | − | 0.582676i | ||||
\(373\) | 4.63855 | − | 2.67807i | 0.240175 | − | 0.138665i | −0.375082 | − | 0.926992i | \(-0.622386\pi\) |
0.615257 | + | 0.788327i | \(0.289052\pi\) | |||||||
\(374\) | 23.8715 | + | 5.18450i | 1.23437 | + | 0.268084i | ||||
\(375\) | 12.0311 | − | 20.8385i | 0.621284 | − | 1.07610i | ||||
\(376\) | 4.58191 | − | 0.489017i | 0.236294 | − | 0.0252191i | ||||
\(377\) | 7.26517 | + | 5.31156i | 0.374175 | + | 0.273559i | ||||
\(378\) | 3.37330 | + | 5.39199i | 0.173504 | + | 0.277334i | ||||
\(379\) | −8.88320 | + | 15.3861i | −0.456299 | + | 0.790333i | −0.998762 | − | 0.0497465i | \(-0.984159\pi\) |
0.542463 | + | 0.840080i | \(0.317492\pi\) | |||||||
\(380\) | 1.24391 | + | 1.83992i | 0.0638112 | + | 0.0943859i | ||||
\(381\) | −24.4204 | + | 14.0991i | −1.25109 | + | 0.722319i | ||||
\(382\) | 28.6638 | − | 17.9324i | 1.46657 | − | 0.917503i | ||||
\(383\) | 3.18918 | + | 5.52383i | 0.162960 | + | 0.282254i | 0.935929 | − | 0.352189i | \(-0.114563\pi\) |
−0.772969 | + | 0.634444i | \(0.781229\pi\) | |||||||
\(384\) | −23.0105 | − | 6.50498i | −1.17425 | − | 0.331956i | ||||
\(385\) | −1.62705 | + | 6.39059i | −0.0829219 | + | 0.325695i | ||||
\(386\) | −5.05253 | + | 9.51470i | −0.257167 | + | 0.484285i | ||||
\(387\) | −4.15166 | + | 7.19088i | −0.211041 | + | 0.365533i | ||||
\(388\) | −11.8840 | + | 8.03436i | −0.603317 | + | 0.407883i | ||||
\(389\) | 23.2587 | 1.17926 | 0.589631 | − | 0.807673i | \(-0.299273\pi\) | ||||
0.589631 | + | 0.807673i | \(0.299273\pi\) | |||||||
\(390\) | −8.66292 | + | 12.7759i | −0.438664 | + | 0.646935i | ||||
\(391\) | −5.94271 | −0.300536 | ||||||||
\(392\) | 5.81495 | − | 13.1172i | 0.293699 | − | 0.662520i | ||||
\(393\) | −8.43245 | − | 4.86848i | −0.425361 | − | 0.245582i | ||||
\(394\) | −8.91808 | + | 16.7941i | −0.449286 | + | 0.846077i | ||||
\(395\) | 9.73236i | 0.489688i | ||||||||
\(396\) | 1.72722 | − | 9.57768i | 0.0867960 | − | 0.481296i | ||||
\(397\) | 5.40694 | − | 3.12170i | 0.271367 | − | 0.156674i | −0.358142 | − | 0.933667i | \(-0.616590\pi\) |
0.629509 | + | 0.776994i | \(0.283256\pi\) | |||||||
\(398\) | −26.1148 | + | 16.3378i | −1.30902 | + | 0.818939i | ||||
\(399\) | −1.97004 | + | 1.13740i | −0.0986254 | + | 0.0569414i | ||||
\(400\) | 11.6758 | − | 1.66642i | 0.583791 | − | 0.0833212i | ||||
\(401\) | −3.39104 | − | 1.95782i | −0.169340 | − | 0.0977686i | 0.412934 | − | 0.910761i | \(-0.364504\pi\) |
−0.582275 | + | 0.812992i | \(0.697837\pi\) | |||||||
\(402\) | −20.0773 | + | 12.5606i | −1.00137 | + | 0.626468i | ||||
\(403\) | −21.7877 | − | 2.35555i | −1.08532 | − | 0.117338i | ||||
\(404\) | 19.1585 | + | 9.31887i | 0.953172 | + | 0.463631i | ||||
\(405\) | −13.9532 | − | 8.05588i | −0.693340 | − | 0.400300i | ||||
\(406\) | −4.89724 | + | 0.173639i | −0.243046 | + | 0.00861758i | ||||
\(407\) | −3.61766 | − | 12.8565i | −0.179321 | − | 0.637272i | ||||
\(408\) | −30.9585 | + | 3.30413i | −1.53267 | + | 0.163579i | ||||
\(409\) | −10.1577 | − | 17.5936i | −0.502264 | − | 0.869947i | −0.999997 | − | 0.00261633i | \(-0.999167\pi\) |
0.497732 | − | 0.867331i | \(-0.334166\pi\) | |||||||
\(410\) | 4.37005 | + | 2.32060i | 0.215822 | + | 0.114606i | ||||
\(411\) | −30.4824 | −1.50358 | ||||||||
\(412\) | 0.894233 | + | 12.5944i | 0.0440557 | + | 0.620481i | ||||
\(413\) | 11.1563 | + | 6.44108i | 0.548964 | + | 0.316945i | ||||
\(414\) | 0.0838937 | + | 2.36610i | 0.00412315 | + | 0.116287i | ||||
\(415\) | 2.36835 | 0.116258 | ||||||||
\(416\) | −20.3468 | + | 1.41666i | −0.997585 | + | 0.0694573i | ||||
\(417\) | − | 17.7646i | − | 0.869937i | ||||||
\(418\) | −3.55369 | − | 0.771802i | −0.173817 | − | 0.0377501i | ||||
\(419\) | 28.6205 | + | 16.5240i | 1.39820 | + | 0.807252i | 0.994204 | − | 0.107508i | \(-0.0342872\pi\) |
0.403997 | + | 0.914760i | \(0.367621\pi\) | |||||||
\(420\) | −0.595266 | − | 8.38374i | −0.0290460 | − | 0.409085i | ||||
\(421\) | 19.9676i | 0.973159i | 0.873636 | + | 0.486580i | \(0.161756\pi\) | ||||
−0.873636 | + | 0.486580i | \(0.838244\pi\) | |||||||
\(422\) | −16.0413 | + | 30.2084i | −0.780880 | + | 1.47052i | ||||
\(423\) | −1.19513 | − | 2.07002i | −0.0581092 | − | 0.100648i | ||||
\(424\) | 24.2618 | − | 2.58941i | 1.17826 | − | 0.125753i | ||||
\(425\) | 13.2989 | − | 7.67810i | 0.645090 | − | 0.372443i | ||||
\(426\) | 0.259581 | + | 7.32109i | 0.0125767 | + | 0.354708i | ||||
\(427\) | 1.58927 | − | 2.75270i | 0.0769103 | − | 0.133213i | ||||
\(428\) | −12.7411 | + | 26.1942i | −0.615864 | + | 1.26615i | ||||
\(429\) | −4.19129 | − | 24.9247i | −0.202358 | − | 1.20338i | ||||
\(430\) | −9.71829 | + | 6.07990i | −0.468658 | + | 0.293199i | ||||
\(431\) | 10.7667 | + | 6.21616i | 0.518614 | + | 0.299422i | 0.736367 | − | 0.676582i | \(-0.236539\pi\) |
−0.217753 | + | 0.976004i | \(0.569873\pi\) | |||||||
\(432\) | −1.83099 | − | 12.8289i | −0.0880937 | − | 0.617230i | ||||
\(433\) | −15.9766 | − | 27.6723i | −0.767788 | − | 1.32985i | −0.938760 | − | 0.344572i | \(-0.888024\pi\) |
0.170972 | − | 0.985276i | \(-0.445309\pi\) | |||||||
\(434\) | 10.1159 | − | 6.32865i | 0.485579 | − | 0.303785i | ||||
\(435\) | 6.54392 | − | 3.77813i | 0.313757 | − | 0.181148i | ||||
\(436\) | −31.4026 | + | 2.22966i | −1.50391 | + | 0.106781i | ||||
\(437\) | 0.884675 | 0.0423197 | ||||||||
\(438\) | −16.2117 | − | 8.60879i | −0.774625 | − | 0.411344i | ||||
\(439\) | 6.28224 | − | 10.8812i | 0.299835 | − | 0.519330i | −0.676263 | − | 0.736660i | \(-0.736402\pi\) |
0.976098 | + | 0.217331i | \(0.0697350\pi\) | |||||||
\(440\) | 8.30753 | − | 10.5600i | 0.396046 | − | 0.503428i | ||||
\(441\) | −7.44287 | −0.354423 | ||||||||
\(442\) | −23.8968 | + | 11.5831i | −1.13665 | + | 0.550954i | ||||
\(443\) | 11.6279i | 0.552460i | 0.961092 | + | 0.276230i | \(0.0890852\pi\) | ||||
−0.961092 | + | 0.276230i | \(0.910915\pi\) | |||||||
\(444\) | 9.53387 | + | 14.1020i | 0.452457 | + | 0.669249i | ||||
\(445\) | 10.1624 | − | 17.6017i | 0.481742 | − | 0.834402i | ||||
\(446\) | −15.6717 | + | 29.5123i | −0.742076 | + | 1.39745i | ||||
\(447\) | 21.4256i | 1.01340i | ||||||||
\(448\) | 8.22915 | − | 7.45754i | 0.388791 | − | 0.352336i | ||||
\(449\) | 13.1753 | − | 7.60676i | 0.621781 | − | 0.358985i | −0.155781 | − | 0.987792i | \(-0.549790\pi\) |
0.777562 | + | 0.628806i | \(0.216456\pi\) | |||||||
\(450\) | −3.24479 | − | 5.18657i | −0.152961 | − | 0.244497i | ||||
\(451\) | −7.79886 | + | 2.19450i | −0.367234 | + | 0.103335i | ||||
\(452\) | −17.5456 | − | 25.9525i | −0.825275 | − | 1.22070i | ||||
\(453\) | 10.6987 | − | 18.5307i | 0.502669 | − | 0.870649i | ||||
\(454\) | 17.5220 | − | 10.9620i | 0.822349 | − | 0.514473i | ||||
\(455\) | −2.89637 | − | 6.55780i | −0.135784 | − | 0.307434i | ||||
\(456\) | 4.60871 | − | 0.491877i | 0.215822 | − | 0.0230342i | ||||
\(457\) | −16.7854 | + | 29.0732i | −0.785189 | + | 1.35999i | 0.143697 | + | 0.989622i | \(0.454101\pi\) |
−0.928886 | + | 0.370366i | \(0.879232\pi\) | |||||||
\(458\) | −1.41076 | − | 39.7884i | −0.0659205 | − | 1.85919i | ||||
\(459\) | −8.43636 | − | 14.6122i | −0.393776 | − | 0.682039i | ||||
\(460\) | −1.42974 | + | 2.93938i | −0.0666619 | + | 0.137049i | ||||
\(461\) | 18.9844 | + | 32.8820i | 0.884194 | + | 1.53147i | 0.846635 | + | 0.532174i | \(0.178625\pi\) |
0.0375588 | + | 0.999294i | \(0.488042\pi\) | |||||||
\(462\) | 10.1863 | + | 9.25366i | 0.473909 | + | 0.430519i | ||||
\(463\) | −15.3296 | −0.712427 | −0.356213 | − | 0.934405i | \(-0.615932\pi\) | ||||
−0.356213 | + | 0.934405i | \(0.615932\pi\) | |||||||
\(464\) | 9.26528 | + | 3.72037i | 0.430130 | + | 0.172714i | ||||
\(465\) | −9.19989 | + | 15.9347i | −0.426635 | + | 0.738953i | ||||
\(466\) | −0.658229 | − | 18.5644i | −0.0304919 | − | 0.859978i | ||||
\(467\) | 14.4721i | 0.669687i | 0.942274 | + | 0.334844i | \(0.108684\pi\) | ||||
−0.942274 | + | 0.334844i | \(0.891316\pi\) | |||||||
\(468\) | 4.94920 | + | 9.35102i | 0.228777 | + | 0.432251i | ||||
\(469\) | − | 10.9989i | − | 0.507883i | ||||||
\(470\) | −0.116932 | − | 3.29788i | −0.00539366 | − | 0.152120i | ||||
\(471\) | −16.6731 | − | 9.62622i | −0.768256 | − | 0.443553i | ||||
\(472\) | −15.4618 | − | 21.2096i | −0.711685 | − | 0.976251i | ||||
\(473\) | 4.63110 | − | 18.1897i | 0.212938 | − | 0.836364i | ||||
\(474\) | 17.9381 | + | 9.52555i | 0.823924 | + | 0.437523i | ||||
\(475\) | −1.97977 | + | 1.14302i | −0.0908379 | + | 0.0524453i | ||||
\(476\) | 6.32479 | − | 13.0030i | 0.289896 | − | 0.595994i | ||||
\(477\) | −6.32837 | − | 10.9611i | −0.289756 | − | 0.501872i | ||||
\(478\) | 0.0692334 | + | 1.95263i | 0.00316666 | + | 0.0893110i | ||||
\(479\) | 24.0688 | + | 13.8961i | 1.09973 | + | 0.634930i | 0.936151 | − | 0.351599i | \(-0.114362\pi\) |
0.163581 | + | 0.986530i | \(0.447695\pi\) | |||||||
\(480\) | −5.81392 | + | 16.1076i | −0.265368 | + | 0.735208i | ||||
\(481\) | 11.7209 | + | 8.56911i | 0.534426 | + | 0.390718i | ||||
\(482\) | −3.72388 | − | 5.95236i | −0.169618 | − | 0.271122i | ||||
\(483\) | −2.89938 | − | 1.67396i | −0.131926 | − | 0.0761677i | ||||
\(484\) | 2.10602 | + | 21.8990i | 0.0957282 | + | 0.995408i | ||||
\(485\) | 5.13657 | + | 8.89680i | 0.233240 | + | 0.403983i | ||||
\(486\) | −16.8523 | + | 10.5430i | −0.764435 | + | 0.478241i | ||||
\(487\) | −5.05391 | − | 8.75363i | −0.229014 | − | 0.396665i | 0.728502 | − | 0.685044i | \(-0.240217\pi\) |
−0.957516 | + | 0.288379i | \(0.906884\pi\) | |||||||
\(488\) | −5.23326 | + | 3.81504i | −0.236899 | + | 0.172699i | ||||
\(489\) | 46.2016i | 2.08931i | ||||||||
\(490\) | −9.07533 | − | 4.81921i | −0.409982 | − | 0.217710i | ||||
\(491\) | 16.3009 | − | 28.2340i | 0.735648 | − | 1.27418i | −0.218790 | − | 0.975772i | \(-0.570211\pi\) |
0.954438 | − | 0.298408i | \(-0.0964557\pi\) | |||||||
\(492\) | 8.55438 | − | 5.78333i | 0.385661 | − | 0.260733i | ||||
\(493\) | 12.9998 | 0.585480 | ||||||||
\(494\) | 3.55745 | − | 1.72435i | 0.160057 | − | 0.0775822i | ||||
\(495\) | −6.75419 | − | 1.71962i | −0.303578 | − | 0.0772911i | ||||
\(496\) | −24.0683 | + | 3.43513i | −1.08070 | + | 0.154242i | ||||
\(497\) | −2.94645 | − | 1.70113i | −0.132166 | − | 0.0763062i | ||||
\(498\) | 2.31802 | − | 4.36520i | 0.103873 | − | 0.195609i | ||||
\(499\) | 24.0852 | 1.07820 | 0.539101 | − | 0.842241i | \(-0.318764\pi\) | ||||
0.539101 | + | 0.842241i | \(0.318764\pi\) | |||||||
\(500\) | −1.61261 | − | 22.7121i | −0.0721183 | − | 1.01572i | ||||
\(501\) | −23.2826 | − | 40.3266i | −1.04019 | − | 1.80166i | ||||
\(502\) | −17.2222 | + | 10.7744i | −0.768664 | + | 0.480887i | ||||
\(503\) | 4.57523 | + | 7.92452i | 0.203999 | + | 0.353337i | 0.949813 | − | 0.312817i | \(-0.101273\pi\) |
−0.745814 | + | 0.666154i | \(0.767939\pi\) | |||||||
\(504\) | −5.26647 | − | 2.33466i | −0.234587 | − | 0.103994i | ||||
\(505\) | 7.62865 | − | 13.2132i | 0.339470 | − | 0.587980i | ||||
\(506\) | −1.63134 | − | 5.09734i | −0.0725219 | − | 0.226605i | ||||
\(507\) | 20.3092 | + | 18.5065i | 0.901962 | + | 0.821903i | ||||
\(508\) | −11.6714 | + | 23.9950i | −0.517834 | + | 1.06461i | ||||
\(509\) | −6.42583 | − | 3.70996i | −0.284820 | − | 0.164441i | 0.350783 | − | 0.936457i | \(-0.385915\pi\) |
−0.635603 | + | 0.772016i | \(0.719249\pi\) | |||||||
\(510\) | 0.790069 | + | 22.2827i | 0.0349849 | + | 0.986696i | ||||
\(511\) | 7.38278 | − | 4.26245i | 0.326595 | − | 0.188560i | ||||
\(512\) | −21.4860 | + | 7.09582i | −0.949557 | + | 0.313594i | ||||
\(513\) | 1.25590 | + | 2.17528i | 0.0554493 | + | 0.0960410i | ||||
\(514\) | −14.6330 | + | 27.5562i | −0.645433 | + | 1.21545i | ||||
\(515\) | 9.04214 | 0.398444 | ||||||||
\(516\) | 1.69432 | + | 23.8629i | 0.0745883 | + | 1.05050i | ||||
\(517\) | 3.86814 | + | 3.77266i | 0.170121 | + | 0.165921i | ||||
\(518\) | −7.90070 | + | 0.280132i | −0.347137 | + | 0.0123083i | ||||
\(519\) | −24.6868 | −1.08363 | ||||||||
\(520\) | −0.0200144 | + | 14.6066i | −0.000877691 | + | 0.640540i | ||||
\(521\) | −44.6523 | −1.95625 | −0.978127 | − | 0.208009i | \(-0.933302\pi\) | ||||
−0.978127 | + | 0.208009i | \(0.933302\pi\) | |||||||
\(522\) | −0.183519 | − | 5.17588i | −0.00803241 | − | 0.226542i | ||||
\(523\) | 12.5963 | − | 21.8175i | 0.550799 | − | 0.954013i | −0.447418 | − | 0.894325i | \(-0.647656\pi\) |
0.998217 | − | 0.0596874i | \(-0.0190104\pi\) | |||||||
\(524\) | −9.19061 | + | 0.652556i | −0.401494 | + | 0.0285070i | ||||
\(525\) | 8.65116 | 0.377568 | ||||||||
\(526\) | 0.999318 | − | 1.88187i | 0.0435723 | − | 0.0820535i | ||||
\(527\) | −27.4140 | + | 15.8275i | −1.19417 | + | 0.689455i | ||||
\(528\) | −11.3326 | − | 25.6475i | −0.493187 | − | 1.11617i | ||||
\(529\) | −10.8490 | − | 18.7910i | −0.471695 | − | 0.817001i | ||||
\(530\) | −0.619169 | − | 17.4627i | −0.0268950 | − | 0.758533i | ||||
\(531\) | −6.80755 | + | 11.7910i | −0.295423 | + | 0.511687i | ||||
\(532\) | −0.941555 | + | 1.93573i | −0.0408216 | + | 0.0839245i | ||||
\(533\) | 5.19810 | − | 7.10999i | 0.225155 | − | 0.307968i | ||||
\(534\) | −22.4960 | − | 35.9584i | −0.973499 | − | 1.55607i | ||||
\(535\) | 18.0656 | + | 10.4302i | 0.781042 | + | 0.450935i | ||||
\(536\) | −9.08213 | + | 20.4873i | −0.392288 | + | 0.884915i | ||||
\(537\) | −1.03255 | − | 1.78843i | −0.0445579 | − | 0.0771766i | ||||
\(538\) | 5.36908 | + | 8.58210i | 0.231478 | + | 0.370001i | ||||
\(539\) | 16.1960 | − | 4.55735i | 0.697609 | − | 0.196299i | ||||
\(540\) | −9.25716 | + | 0.657281i | −0.398365 | + | 0.0282849i | ||||
\(541\) | 5.65492 | 0.243124 | 0.121562 | − | 0.992584i | \(-0.461210\pi\) | ||||
0.121562 | + | 0.992584i | \(0.461210\pi\) | |||||||
\(542\) | 21.7706 | + | 11.5607i | 0.935126 | + | 0.496574i | ||||
\(543\) | −24.3140 | − | 14.0377i | −1.04341 | − | 0.602414i | ||||
\(544\) | −22.5179 | + | 18.9977i | −0.965449 | + | 0.814520i | ||||
\(545\) | 22.5455i | 0.965742i | ||||||||
\(546\) | −14.9218 | − | 1.08003i | −0.638592 | − | 0.0462211i | ||||
\(547\) | 4.12371 | 0.176317 | 0.0881586 | − | 0.996106i | \(-0.471902\pi\) | ||||
0.0881586 | + | 0.996106i | \(0.471902\pi\) | |||||||
\(548\) | −23.8958 | + | 16.1552i | −1.02078 | + | 0.690115i | ||||
\(549\) | 2.90932 | + | 1.67970i | 0.124167 | + | 0.0716877i | ||||
\(550\) | 10.2366 | + | 9.29934i | 0.436489 | + | 0.396525i | ||||
\(551\) | −1.93524 | −0.0824441 | ||||||||
\(552\) | 4.01833 | + | 5.51212i | 0.171031 | + | 0.234611i | ||||
\(553\) | −8.16898 | + | 4.71636i | −0.347380 | + | 0.200560i | ||||
\(554\) | 37.1034 | − | 23.2124i | 1.57637 | − | 0.986199i | ||||
\(555\) | 10.5573 | − | 6.09524i | 0.448131 | − | 0.258729i | ||||
\(556\) | −9.41497 | − | 13.9261i | −0.399284 | − | 0.590598i | ||||
\(557\) | 2.21247 | − | 3.83212i | 0.0937455 | − | 0.162372i | −0.815339 | − | 0.578984i | \(-0.803449\pi\) |
0.909084 | + | 0.416612i | \(0.136783\pi\) | |||||||
\(558\) | 6.68873 | + | 10.6915i | 0.283157 | + | 0.452606i | ||||
\(559\) | 8.24401 | + | 18.6656i | 0.348684 | + | 0.789472i | ||||
\(560\) | −4.90990 | − | 6.25673i | −0.207481 | − | 0.264395i | ||||
\(561\) | −26.1358 | − | 25.4906i | −1.10345 | − | 1.07621i | ||||
\(562\) | −3.28754 | + | 0.116565i | −0.138677 | + | 0.00491700i | ||||
\(563\) | 15.3435 | + | 26.5757i | 0.646651 | + | 1.12003i | 0.983918 | + | 0.178623i | \(0.0571642\pi\) |
−0.337267 | + | 0.941409i | \(0.609503\pi\) | |||||||
\(564\) | −6.19291 | − | 3.01228i | −0.260768 | − | 0.126840i | ||||
\(565\) | −19.4290 | + | 11.2173i | −0.817384 | + | 0.471917i | ||||
\(566\) | −8.09281 | + | 15.2400i | −0.340166 | + | 0.640586i | ||||
\(567\) | − | 15.6157i | − | 0.655799i | ||||||
\(568\) | 4.08356 | + | 5.60160i | 0.171342 | + | 0.235038i | ||||
\(569\) | 14.7494 | + | 8.51559i | 0.618329 | + | 0.356992i | 0.776218 | − | 0.630465i | \(-0.217136\pi\) |
−0.157889 | + | 0.987457i | \(0.550469\pi\) | |||||||
\(570\) | −0.117615 | − | 3.31717i | −0.00492637 | − | 0.138941i | ||||
\(571\) | 45.5855 | 1.90769 | 0.953847 | − | 0.300292i | \(-0.0970841\pi\) | ||||
0.953847 | + | 0.300292i | \(0.0970841\pi\) | |||||||
\(572\) | −16.4954 | − | 17.3177i | −0.689705 | − | 0.724090i | ||||
\(573\) | −50.5312 | −2.11097 | ||||||||
\(574\) | 0.169931 | + | 4.79264i | 0.00709276 | + | 0.200041i | ||||
\(575\) | −2.91369 | − | 1.68222i | −0.121509 | − | 0.0701535i | ||||
\(576\) | 7.88185 | + | 8.69736i | 0.328410 | + | 0.362390i | ||||
\(577\) | − | 40.9728i | − | 1.70572i | −0.522141 | − | 0.852859i | \(-0.674866\pi\) | ||
0.522141 | − | 0.852859i | \(-0.325134\pi\) | |||||||
\(578\) | −6.71494 | + | 12.6453i | −0.279305 | + | 0.525975i | ||||
\(579\) | 13.9434 | − | 8.05023i | 0.579468 | − | 0.334556i | ||||
\(580\) | 3.12758 | − | 6.42994i | 0.129866 | − | 0.266989i | ||||
\(581\) | 1.14772 | + | 1.98790i | 0.0476153 | + | 0.0824722i | ||||
\(582\) | 21.4255 | − | 0.759673i | 0.888114 | − | 0.0314895i | ||||
\(583\) | 20.4823 | + | 19.9767i | 0.848291 | + | 0.827352i | ||||
\(584\) | −17.2713 | + | 1.84332i | −0.714689 | + | 0.0762771i | ||||
\(585\) | 6.93091 | − | 3.06116i | 0.286558 | − | 0.126563i | ||||
\(586\) | 4.08625 | + | 6.53158i | 0.168801 | + | 0.269817i | ||||
\(587\) | 5.47460 | − | 9.48229i | 0.225961 | − | 0.391376i | −0.730646 | − | 0.682756i | \(-0.760781\pi\) |
0.956607 | + | 0.291380i | \(0.0941144\pi\) | |||||||
\(588\) | −17.7650 | + | 12.0103i | −0.732615 | + | 0.495296i | ||||
\(589\) | 4.08104 | − | 2.35619i | 0.168157 | − | 0.0970852i | ||||
\(590\) | −15.9353 | + | 9.96932i | −0.656045 | + | 0.410431i | ||||
\(591\) | 24.6112 | − | 14.2093i | 1.01237 | − | 0.584491i | ||||
\(592\) | 14.9476 | + | 6.00205i | 0.614344 | + | 0.246683i | ||||
\(593\) | 46.4183 | 1.90617 | 0.953086 | − | 0.302701i | \(-0.0978883\pi\) | ||||
0.953086 | + | 0.302701i | \(0.0978883\pi\) | |||||||
\(594\) | 10.2177 | − | 11.2475i | 0.419238 | − | 0.461490i | ||||
\(595\) | −8.96791 | − | 5.17762i | −0.367648 | − | 0.212262i | ||||
\(596\) | 11.3552 | + | 16.7960i | 0.465129 | + | 0.687992i | ||||
\(597\) | 46.0377 | 1.88420 | ||||||||
\(598\) | 4.81561 | + | 3.26529i | 0.196925 | + | 0.133528i | ||||
\(599\) | − | 39.5744i | − | 1.61697i | −0.588518 | − | 0.808484i | \(-0.700289\pi\) | ||
0.588518 | − | 0.808484i | \(-0.299711\pi\) | |||||||
\(600\) | −16.1142 | − | 7.14352i | −0.657859 | − | 0.291633i | ||||
\(601\) | 7.93421 | + | 4.58082i | 0.323643 | + | 0.186856i | 0.653015 | − | 0.757345i | \(-0.273504\pi\) |
−0.329372 | + | 0.944200i | \(0.606837\pi\) | |||||||
\(602\) | −9.81278 | − | 5.21082i | −0.399939 | − | 0.212377i | ||||
\(603\) | 11.6247 | 0.473395 | ||||||||
\(604\) | −1.43402 | − | 20.1968i | −0.0583496 | − | 0.821797i | ||||
\(605\) | 15.7503 | − | 0.393707i | 0.640341 | − | 0.0160064i | ||||
\(606\) | −16.8872 | − | 26.9931i | −0.685997 | − | 1.09652i | ||||
\(607\) | −18.1288 | − | 31.3999i | −0.735823 | − | 1.27448i | −0.954361 | − | 0.298655i | \(-0.903462\pi\) |
0.218538 | − | 0.975828i | \(-0.429871\pi\) | |||||||
\(608\) | 3.35219 | − | 2.82814i | 0.135949 | − | 0.114696i | ||||
\(609\) | 6.34245 | + | 3.66181i | 0.257009 | + | 0.148384i | ||||
\(610\) | 2.45983 | + | 3.93187i | 0.0995957 | + | 0.159197i | ||||
\(611\) | −5.83996 | − | 0.631379i | −0.236259 | − | 0.0255429i | ||||
\(612\) | 13.7429 | + | 6.68465i | 0.555523 | + | 0.270211i | ||||
\(613\) | 3.29182 | − | 5.70161i | 0.132956 | − | 0.230286i | −0.791859 | − | 0.610704i | \(-0.790887\pi\) |
0.924815 | + | 0.380418i | \(0.124220\pi\) | |||||||
\(614\) | −0.733949 | − | 20.6999i | −0.0296198 | − | 0.835381i | ||||
\(615\) | −3.69743 | − | 6.40414i | −0.149095 | − | 0.258240i | ||||
\(616\) | 12.8896 | + | 1.85559i | 0.519335 | + | 0.0747639i | ||||
\(617\) | −25.1552 | + | 14.5233i | −1.01271 | + | 0.584688i | −0.911984 | − | 0.410226i | \(-0.865450\pi\) |
−0.100725 | + | 0.994914i | \(0.532116\pi\) | |||||||
\(618\) | 8.85000 | − | 16.6659i | 0.355999 | − | 0.670402i | ||||
\(619\) | −14.3017 | −0.574834 | −0.287417 | − | 0.957806i | \(-0.592797\pi\) | ||||
−0.287417 | + | 0.957806i | \(0.592797\pi\) | |||||||
\(620\) | 1.23312 | + | 17.3674i | 0.0495235 | + | 0.697490i | ||||
\(621\) | −1.84835 | + | 3.20144i | −0.0741718 | + | 0.128469i | ||||
\(622\) | −0.165412 | − | 4.66519i | −0.00663241 | − | 0.187057i | ||||
\(623\) | 19.6990 | 0.789223 | ||||||||
\(624\) | 26.9024 | + | 14.3331i | 1.07696 | + | 0.573782i | ||||
\(625\) | −1.56345 | −0.0625381 | ||||||||
\(626\) | 3.04684 | − | 0.108031i | 0.121776 | − | 0.00431777i | ||||
\(627\) | 3.89076 | + | 3.79472i | 0.155382 | + | 0.151547i | ||||
\(628\) | −18.1722 | + | 1.29027i | −0.725149 | + | 0.0514873i | ||||
\(629\) | 20.9725 | 0.836228 | ||||||||
\(630\) | −1.93488 | + | 3.64368i | −0.0770874 | + | 0.145168i | ||||
\(631\) | −8.96942 | − | 15.5355i | −0.357067 | − | 0.618458i | 0.630402 | − | 0.776268i | \(-0.282890\pi\) |
−0.987469 | + | 0.157810i | \(0.949557\pi\) | |||||||
\(632\) | 19.1105 | − | 2.03962i | 0.760174 | − | 0.0811316i | ||||
\(633\) | 44.2691 | − | 25.5588i | 1.75954 | − | 1.01587i | ||||
\(634\) | −0.548545 | − | 15.4709i | −0.0217855 | − | 0.614428i | ||||
\(635\) | 16.5488 | + | 9.55447i | 0.656720 | + | 0.379157i | ||||
\(636\) | −32.7923 | − | 15.9504i | −1.30030 | − | 0.632476i | ||||
\(637\) | −10.7950 | + | 14.7654i | −0.427712 | + | 0.585026i | ||||
\(638\) | 3.56859 | + | 11.1505i | 0.141282 | + | 0.441454i | ||||
\(639\) | 1.79792 | − | 3.11409i | 0.0711247 | − | 0.123192i | ||||
\(640\) | 3.97911 | + | 15.7084i | 0.157288 | + | 0.620929i | ||||
\(641\) | −15.1952 | − | 26.3188i | −0.600173 | − | 1.03953i | −0.992794 | − | 0.119829i | \(-0.961765\pi\) |
0.392622 | − | 0.919700i | \(-0.371568\pi\) | |||||||
\(642\) | 36.9059 | − | 23.0888i | 1.45656 | − | 0.911244i | ||||
\(643\) | −4.73743 | − | 8.20548i | −0.186826 | − | 0.323592i | 0.757364 | − | 0.652993i | \(-0.226487\pi\) |
−0.944190 | + | 0.329400i | \(0.893153\pi\) | |||||||
\(644\) | −3.16006 | + | 0.224372i | −0.124524 | + | 0.00884150i | ||||
\(645\) | 17.1323 | 0.674585 | ||||||||
\(646\) | 2.67819 | − | 5.04345i | 0.105372 | − | 0.198432i | ||||
\(647\) | 11.8351 | + | 6.83301i | 0.465287 | + | 0.268633i | 0.714265 | − | 0.699876i | \(-0.246761\pi\) |
−0.248978 | + | 0.968509i | \(0.580095\pi\) | |||||||
\(648\) | −12.8944 | + | 29.0868i | −0.506538 | + | 1.14264i | ||||
\(649\) | 7.59371 | − | 29.8260i | 0.298079 | − | 1.17077i | ||||
\(650\) | −14.9954 | − | 1.08536i | −0.588169 | − | 0.0425715i | ||||
\(651\) | −17.8333 | −0.698942 | ||||||||
\(652\) | 24.4862 | + | 36.2185i | 0.958952 | + | 1.41843i | ||||
\(653\) | 4.00946 | − | 6.94458i | 0.156902 | − | 0.271763i | −0.776848 | − | 0.629688i | \(-0.783183\pi\) |
0.933750 | + | 0.357926i | \(0.116516\pi\) | |||||||
\(654\) | 41.5545 | + | 22.0664i | 1.62491 | + | 0.862864i | ||||
\(655\) | 6.59839i | 0.257821i | ||||||||
\(656\) | 3.64090 | − | 9.06738i | 0.142153 | − | 0.354022i | ||||
\(657\) | 4.50497 | + | 7.80284i | 0.175756 | + | 0.304418i | ||||
\(658\) | 2.71146 | − | 1.69632i | 0.105704 | − | 0.0661296i | ||||
\(659\) | 12.5828 | + | 21.7941i | 0.490158 | + | 0.848978i | 0.999936 | − | 0.0113276i | \(-0.00360576\pi\) |
−0.509778 | + | 0.860306i | \(0.670272\pi\) | |||||||
\(660\) | −18.8961 | + | 6.79454i | −0.735529 | + | 0.264477i | ||||
\(661\) | 24.1034 | + | 13.9161i | 0.937515 | + | 0.541274i | 0.889180 | − | 0.457557i | \(-0.151275\pi\) |
0.0483343 | + | 0.998831i | \(0.484609\pi\) | |||||||
\(662\) | −16.9729 | − | 27.1300i | −0.659671 | − | 1.05444i | ||||
\(663\) | 39.4587 | + | 4.26602i | 1.53245 | + | 0.165679i | ||||
\(664\) | −0.496337 | − | 4.65050i | −0.0192616 | − | 0.180474i | ||||
\(665\) | 1.33503 | + | 0.770779i | 0.0517702 | + | 0.0298895i | ||||
\(666\) | −0.296070 | − | 8.35022i | −0.0114725 | − | 0.323565i | ||||
\(667\) | −1.42408 | − | 2.46658i | −0.0551407 | − | 0.0955065i | ||||
\(668\) | −39.6242 | − | 19.2735i | −1.53311 | − | 0.745716i | ||||
\(669\) | 43.2490 | − | 24.9698i | 1.67210 | − | 0.965390i | ||||
\(670\) | 14.1744 | + | 7.52693i | 0.547604 | + | 0.290791i | ||||
\(671\) | −7.35928 | − | 1.87367i | −0.284102 | − | 0.0723324i | ||||
\(672\) | −16.3376 | + | 2.92585i | −0.630236 | + | 0.112867i | ||||
\(673\) | −30.5401 | − | 17.6323i | −1.17723 | − | 0.679676i | −0.221861 | − | 0.975078i | \(-0.571213\pi\) |
−0.955373 | + | 0.295402i | \(0.904546\pi\) | |||||||
\(674\) | 0.828338 | + | 23.3620i | 0.0319064 | + | 0.899872i | ||||
\(675\) | − | 9.55244i | − | 0.367674i | ||||||
\(676\) | 25.7290 | + | 3.74413i | 0.989577 | + | 0.144005i | ||||
\(677\) | − | 9.79138i | − | 0.376313i | −0.982139 | − | 0.188157i | \(-0.939749\pi\) | ||
0.982139 | − | 0.188157i | \(-0.0602513\pi\) | |||||||
\(678\) | 1.65899 | + | 46.7893i | 0.0637131 | + | 1.79693i | ||||
\(679\) | −4.97843 | + | 8.62289i | −0.191054 | + | 0.330916i | ||||
\(680\) | 12.4289 | + | 17.0492i | 0.476625 | + | 0.653808i | ||||
\(681\) | −30.8895 | −1.18369 | ||||||||
\(682\) | −21.1014 | − | 19.1695i | −0.808015 | − | 0.734036i | ||||
\(683\) | −7.16498 | − | 12.4101i | −0.274160 | − | 0.474859i | 0.695763 | − | 0.718272i | \(-0.255067\pi\) |
−0.969923 | + | 0.243412i | \(0.921733\pi\) | |||||||
\(684\) | −2.04587 | − | 0.995126i | −0.0782256 | − | 0.0380496i | ||||
\(685\) | 10.3284 | + | 17.8894i | 0.394629 | + | 0.683517i | ||||
\(686\) | −0.839851 | − | 23.6867i | −0.0320656 | − | 0.904364i | ||||
\(687\) | −29.7510 | + | 51.5302i | −1.13507 | + | 1.96600i | ||||
\(688\) | 13.9752 | + | 17.8087i | 0.532798 | + | 0.678950i | ||||
\(689\) | −30.9234 | − | 3.34324i | −1.17809 | − | 0.127367i | ||||
\(690\) | 4.14139 | − | 2.59091i | 0.157660 | − | 0.0986342i | ||||
\(691\) | −1.96282 | + | 3.39970i | −0.0746691 | + | 0.129331i | −0.900942 | − | 0.433939i | \(-0.857123\pi\) |
0.826273 | + | 0.563270i | \(0.190457\pi\) | |||||||
\(692\) | −19.3526 | + | 13.0836i | −0.735675 | + | 0.497365i | ||||
\(693\) | −1.82974 | − | 6.50256i | −0.0695061 | − | 0.247012i | ||||
\(694\) | −14.9706 | − | 23.9294i | −0.568274 | − | 0.908347i | ||||
\(695\) | −10.4256 | + | 6.01923i | −0.395466 | + | 0.228322i | ||||
\(696\) | −8.79016 | − | 12.0579i | −0.333190 | − | 0.457052i | ||||
\(697\) | − | 12.7221i | − | 0.481884i | ||||||
\(698\) | −17.0181 | + | 32.0478i | −0.644145 | + | 1.21303i | ||||
\(699\) | −13.8811 | + | 24.0428i | −0.525032 | + | 0.909383i | ||||
\(700\) | 6.78184 | − | 4.58498i | 0.256330 | − | 0.173296i | ||||
\(701\) | 22.2586i | 0.840696i | 0.907363 | + | 0.420348i | \(0.138092\pi\) | ||||
−0.907363 | + | 0.420348i | \(0.861908\pi\) | |||||||
\(702\) | −1.19255 | + | 16.4763i | −0.0450099 | + | 0.621858i | ||||
\(703\) | −3.12212 | −0.117753 | ||||||||
\(704\) | −22.4767 | − | 14.0996i | −0.847121 | − | 0.531400i | ||||
\(705\) | −2.46593 | + | 4.27111i | −0.0928721 | + | 0.160859i | ||||
\(706\) | 4.06314 | + | 2.15762i | 0.152918 | + | 0.0812031i | ||||
\(707\) | 14.7876 | 0.556143 | ||||||||
\(708\) | 2.77821 | + | 39.1284i | 0.104412 | + | 1.47054i | ||||
\(709\) | 31.0266 | − | 17.9132i | 1.16523 | − | 0.672745i | 0.212677 | − | 0.977123i | \(-0.431782\pi\) |
0.952551 | + | 0.304377i | \(0.0984484\pi\) | |||||||
\(710\) | 4.20862 | − | 2.63297i | 0.157947 | − | 0.0988135i | ||||
\(711\) | −4.98471 | − | 8.63377i | −0.186941 | − | 0.323792i | ||||
\(712\) | −36.6925 | − | 16.2660i | −1.37511 | − | 0.609596i | ||||
\(713\) | 6.00622 | + | 3.46769i | 0.224935 | + | 0.129866i | ||||
\(714\) | −18.3204 | + | 11.4615i | −0.685625 | + | 0.428936i | ||||
\(715\) | −13.2075 | + | 10.9051i | −0.493934 | + | 0.407826i | ||||
\(716\) | −1.75728 | − | 0.854758i | −0.0656728 | − | 0.0319438i | ||||
\(717\) | 1.46004 | − | 2.52886i | 0.0545260 | − | 0.0944419i | ||||
\(718\) | −1.75661 | − | 49.5425i | −0.0655560 | − | 1.84891i | ||||
\(719\) | −33.3933 | + | 19.2796i | −1.24536 | + | 0.719008i | −0.970180 | − | 0.242385i | \(-0.922070\pi\) |
−0.275178 | + | 0.961393i | \(0.588737\pi\) | |||||||
\(720\) | 6.61271 | − | 5.18925i | 0.246441 | − | 0.193392i | ||||
\(721\) | 4.38188 | + | 7.58964i | 0.163190 | + | 0.282653i | ||||
\(722\) | 12.2033 | − | 22.9808i | 0.454161 | − | 0.855257i | ||||
\(723\) | 10.4934i | 0.390253i | ||||||||
\(724\) | −26.5000 | + | 1.88157i | −0.984865 | + | 0.0699278i | ||||
\(725\) | 6.37376 | + | 3.67989i | 0.236715 | + | 0.136668i | ||||
\(726\) | 14.6900 | − | 29.4154i | 0.545195 | − | 1.09171i | ||||
\(727\) | − | 26.2120i | − | 0.972150i | −0.873917 | − | 0.486075i | \(-0.838428\pi\) | ||
0.873917 | − | 0.486075i | \(-0.161572\pi\) | |||||||
\(728\) | −12.2699 | + | 7.06164i | −0.454753 | + | 0.261722i | ||||
\(729\) | −4.03794 | −0.149554 | ||||||||
\(730\) | 0.440767 | + | 12.4312i | 0.0163135 | + | 0.460099i | ||||
\(731\) | 25.5256 | + | 14.7372i | 0.944098 | + | 0.545075i | ||||
\(732\) | 9.65455 | − | 0.685496i | 0.356842 | − | 0.0253367i | ||||
\(733\) | −11.2119 | −0.414122 | −0.207061 | − | 0.978328i | \(-0.566390\pi\) | ||||
−0.207061 | + | 0.978328i | \(0.566390\pi\) | |||||||
\(734\) | 1.58983 | + | 0.844237i | 0.0586817 | + | 0.0311614i | ||||
\(735\) | 7.67849 | + | 13.2995i | 0.283225 | + | 0.490561i | ||||
\(736\) | 6.07140 | + | 2.19143i | 0.223795 | + | 0.0807771i | ||||
\(737\) | −25.2958 | + | 7.11793i | −0.931783 | + | 0.262192i | ||||
\(738\) | −5.06532 | + | 0.179599i | −0.186457 | + | 0.00661113i | ||||
\(739\) | 0.0402333 | + | 0.0232287i | 0.00148001 | + | 0.000854482i | 0.500740 | − | 0.865598i | \(-0.333061\pi\) |
−0.499260 | + | 0.866452i | \(0.666395\pi\) | |||||||
\(740\) | 5.04571 | − | 10.3734i | 0.185484 | − | 0.381334i | ||||
\(741\) | −5.87411 | − | 0.635072i | −0.215791 | − | 0.0233299i | ||||
\(742\) | 14.3575 | − | 8.98227i | 0.527081 | − | 0.329749i | ||||
\(743\) | 4.31413 | + | 2.49076i | 0.158270 | + | 0.0913773i | 0.577043 | − | 0.816714i | \(-0.304206\pi\) |
−0.418773 | + | 0.908091i | \(0.637540\pi\) | |||||||
\(744\) | 33.2174 | + | 14.7255i | 1.21781 | + | 0.539862i | ||||
\(745\) | 12.5742 | − | 7.25969i | 0.460681 | − | 0.265975i | ||||
\(746\) | −6.42157 | + | 4.01742i | −0.235110 | + | 0.147088i | ||||
\(747\) | −2.10101 | + | 1.21302i | −0.0768719 | + | 0.0443820i | ||||
\(748\) | −33.9981 | − | 6.13114i | −1.24309 | − | 0.224177i | ||||
\(749\) | 20.2181i | 0.738753i | ||||||||
\(750\) | −15.9596 | + | 30.0545i | −0.582763 | + | 1.09743i | ||||
\(751\) | −18.4606 | − | 10.6582i | −0.673637 | − | 0.388924i | 0.123817 | − | 0.992305i | \(-0.460487\pi\) |
−0.797453 | + | 0.603381i | \(0.793820\pi\) | |||||||
\(752\) | −6.45123 | + | 0.920747i | −0.235252 | + | 0.0335762i | ||||
\(753\) | 30.3609 | 1.10641 | ||||||||
\(754\) | −10.5342 | − | 7.14289i | −0.383634 | − | 0.260129i | ||||
\(755\) | −14.5003 | −0.527720 | ||||||||
\(756\) | −5.03778 | − | 7.45159i | −0.183222 | − | 0.271012i | ||||
\(757\) | −16.6889 | + | 28.9060i | −0.606568 | + | 1.05061i | 0.385233 | + | 0.922819i | \(0.374121\pi\) |
−0.991801 | + | 0.127788i | \(0.959212\pi\) | |||||||
\(758\) | 11.7838 | − | 22.1908i | 0.428008 | − | 0.806006i | ||||
\(759\) | −1.97351 | + | 7.75142i | −0.0716340 | + | 0.281359i | ||||
\(760\) | −1.85025 | − | 2.53807i | −0.0671156 | − | 0.0920656i | ||||
\(761\) | 12.5447 | + | 21.7280i | 0.454744 | + | 0.787640i | 0.998673 | − | 0.0514912i | \(-0.0163974\pi\) |
−0.543929 | + | 0.839131i | \(0.683064\pi\) | |||||||
\(762\) | 33.8074 | − | 21.1504i | 1.22471 | − | 0.766197i | ||||
\(763\) | −18.9238 | + | 10.9257i | −0.685089 | + | 0.395536i | ||||
\(764\) | −39.6126 | + | 26.7808i | −1.43313 | + | 0.968894i | ||||
\(765\) | 5.47221 | − | 9.47815i | 0.197848 | − | 0.342683i | ||||
\(766\) | −4.78416 | − | 7.64715i | −0.172859 | − | 0.276303i | ||||
\(767\) | 13.5179 | + | 30.6064i | 0.488102 | + | 1.10513i | ||||
\(768\) | 32.8473 | + | 8.04055i | 1.18528 | + | 0.290138i | ||||
\(769\) | −1.95253 | + | 3.38188i | −0.0704100 | + | 0.121954i | −0.899081 | − | 0.437782i | \(-0.855764\pi\) |
0.828671 | + | 0.559736i | \(0.189097\pi\) | |||||||
\(770\) | 1.97930 | − | 9.11352i | 0.0713291 | − | 0.328428i | ||||
\(771\) | 40.3825 | − | 23.3149i | 1.45434 | − | 0.839664i | ||||
\(772\) | 6.66407 | − | 13.7006i | 0.239845 | − | 0.493094i | ||||
\(773\) | −41.6836 | + | 24.0660i | −1.49926 | + | 0.865595i | −1.00000 | 0.000859396i | \(-0.999726\pi\) | |
−0.499256 | + | 0.866455i | \(0.666393\pi\) | |||||||
\(774\) | 5.50729 | − | 10.3711i | 0.197956 | − | 0.372781i | ||||
\(775\) | −17.9213 | −0.643753 | ||||||||
\(776\) | 16.3933 | − | 11.9507i | 0.588485 | − | 0.429005i | ||||
\(777\) | 10.2322 | + | 5.90759i | 0.367080 | + | 0.211934i | ||||
\(778\) | −32.8721 | + | 1.16553i | −1.17852 | + | 0.0417863i | ||||
\(779\) | 1.89391i | 0.0678562i | ||||||||
\(780\) | 11.6033 | − | 18.4907i | 0.415465 | − | 0.662072i | ||||
\(781\) | −2.00555 | + | 7.87726i | −0.0717643 | + | 0.281870i | ||||
\(782\) | 8.39898 | − | 0.297799i | 0.300347 | − | 0.0106493i | ||||
\(783\) | 4.04330 | − | 7.00320i | 0.144496 | − | 0.250274i | ||||
\(784\) | −7.56109 | + | 18.8303i | −0.270039 | + | 0.672511i | ||||
\(785\) | 13.0467i | 0.465657i | ||||||||
\(786\) | 12.1618 | + | 6.45818i | 0.433796 | + | 0.230356i | ||||
\(787\) | −3.72108 | + | 2.14836i | −0.132642 | + | 0.0765809i | −0.564853 | − | 0.825192i | \(-0.691067\pi\) |
0.432211 | + | 0.901773i | \(0.357734\pi\) | |||||||
\(788\) | 11.7626 | − | 24.1825i | 0.419024 | − | 0.861466i | ||||
\(789\) | −2.75781 | + | 1.59222i | −0.0981806 | + | 0.0566846i | ||||
\(790\) | −0.487705 | − | 13.7550i | −0.0173518 | − | 0.489381i | ||||
\(791\) | −18.8308 | − | 10.8720i | −0.669548 | − | 0.386564i | ||||
\(792\) | −1.96117 | + | 13.6229i | −0.0696870 | + | 0.484070i | ||||
\(793\) | 7.55183 | − | 3.33540i | 0.268173 | − | 0.118444i | ||||
\(794\) | −7.48533 | + | 4.68293i | −0.265645 | + | 0.166191i | ||||
\(795\) | −13.0574 | + | 22.6161i | −0.463099 | + | 0.802110i | ||||
\(796\) | 36.0900 | − | 24.3993i | 1.27918 | − | 0.864809i | ||||
\(797\) | 15.7735 | + | 27.3204i | 0.558724 | + | 0.967739i | 0.997603 | + | 0.0691927i | \(0.0220423\pi\) |
−0.438879 | + | 0.898546i | \(0.644624\pi\) | |||||||
\(798\) | 2.72731 | − | 1.70624i | 0.0965458 | − | 0.0604004i | ||||
\(799\) | −7.34800 | + | 4.24237i | −0.259954 | + | 0.150084i | ||||
\(800\) | −16.4182 | + | 2.94030i | −0.580472 | + | 0.103955i | ||||
\(801\) | 20.8198i | 0.735631i | ||||||||
\(802\) | 4.89075 | + | 2.59710i | 0.172698 | + | 0.0917068i | ||||
\(803\) | −14.5807 | − | 14.2208i | −0.514543 | − | 0.501842i | ||||
\(804\) | 27.7464 | − | 18.7584i | 0.978538 | − | 0.661557i | ||||
\(805\) | 2.26877i | 0.0799635i | ||||||||
\(806\) | 30.9112 | + | 2.23734i | 1.08880 | + | 0.0788071i | ||||
\(807\) | − | 15.1294i | − | 0.532578i | ||||||
\(808\) | −27.5442 | − | 12.2105i | −0.969002 | − | 0.429565i | ||||
\(809\) | −11.9866 | − | 6.92049i | −0.421428 | − | 0.243311i | 0.274260 | − | 0.961656i | \(-0.411567\pi\) |
−0.695688 | + | 0.718344i | \(0.744900\pi\) | |||||||
\(810\) | 20.1241 | + | 10.6864i | 0.707088 | + | 0.375480i | ||||
\(811\) | − | 4.29580i | − | 0.150846i | −0.997152 | − | 0.0754229i | \(-0.975969\pi\) | ||
0.997152 | − | 0.0754229i | \(-0.0240307\pi\) | |||||||
\(812\) | 6.91270 | − | 0.490818i | 0.242588 | − | 0.0172243i | ||||
\(813\) | −18.4197 | − | 31.9039i | −0.646008 | − | 1.11892i | ||||
\(814\) | 5.75718 | + | 17.9891i | 0.201789 | + | 0.630518i | ||||
\(815\) | 27.1146 | − | 15.6546i | 0.949783 | − | 0.548357i | ||||
\(816\) | 43.5888 | − | 6.22119i | 1.52591 | − | 0.217785i | ||||
\(817\) | −3.79993 | − | 2.19389i | −0.132943 | − | 0.0767545i | ||||
\(818\) | 15.2377 | + | 24.3564i | 0.532775 | + | 0.851603i | ||||
\(819\) | 5.92819 | + | 4.33409i | 0.207148 | + | 0.151445i | ||||
\(820\) | −6.29260 | − | 3.06077i | −0.219747 | − | 0.106887i | ||||
\(821\) | 10.1400 | − | 17.5630i | 0.353888 | − | 0.612952i | −0.633039 | − | 0.774120i | \(-0.718193\pi\) |
0.986927 | + | 0.161168i | \(0.0515261\pi\) | |||||||
\(822\) | 43.0815 | − | 1.52752i | 1.50264 | − | 0.0532785i | ||||
\(823\) | 25.3156 | − | 14.6160i | 0.882447 | − | 0.509481i | 0.0109825 | − | 0.999940i | \(-0.496504\pi\) |
0.871464 | + | 0.490459i | \(0.163171\pi\) | |||||||
\(824\) | −1.89497 | − | 17.7552i | −0.0660143 | − | 0.618531i | ||||
\(825\) | −5.59858 | − | 19.8963i | −0.194918 | − | 0.692701i | ||||
\(826\) | −16.0902 | − | 8.54428i | −0.559850 | − | 0.297293i | ||||
\(827\) | 30.5354i | 1.06182i | 0.847429 | + | 0.530909i | \(0.178149\pi\) | ||||
−0.847429 | + | 0.530909i | \(0.821851\pi\) | |||||||
\(828\) | −0.237138 | − | 3.33986i | −0.00824112 | − | 0.116068i | ||||
\(829\) | −7.83605 | + | 13.5724i | −0.272157 | + | 0.471390i | −0.969414 | − | 0.245431i | \(-0.921070\pi\) |
0.697257 | + | 0.716822i | \(0.254404\pi\) | |||||||
\(830\) | −3.34725 | + | 0.118682i | −0.116185 | + | 0.00411951i | ||||
\(831\) | −65.4094 | −2.26903 | ||||||||
\(832\) | 28.6857 | − | 3.02181i | 0.994497 | − | 0.104762i | ||||
\(833\) | 26.4201i | 0.915402i | ||||||||
\(834\) | 0.890215 | + | 25.1072i | 0.0308256 | + | 0.869391i | ||||
\(835\) | −15.7778 | + | 27.3279i | −0.546013 | + | 0.945722i | ||||
\(836\) | 5.06120 | + | 0.912726i | 0.175045 | + | 0.0315673i | ||||
\(837\) | 19.6912i | 0.680627i | ||||||||
\(838\) | −41.2781 | − | 21.9196i | −1.42593 | − | 0.757201i | ||||
\(839\) | −14.9128 | − | 25.8298i | −0.514848 | − | 0.891742i | −0.999852 | − | 0.0172303i | \(-0.994515\pi\) |
0.485004 | − | 0.874512i | \(-0.338818\pi\) | |||||||
\(840\) | 1.26143 | + | 11.8191i | 0.0435234 | + | 0.407798i | ||||
\(841\) | −11.3848 | − | 19.7190i | −0.392579 | − | 0.679967i | ||||
\(842\) | −1.00061 | − | 28.2207i | −0.0344832 | − | 0.972548i | ||||
\(843\) | 4.25772 | + | 2.45819i | 0.146644 | + | 0.0846647i | ||||
\(844\) | 21.1578 | − | 43.4981i | 0.728283 | − | 1.49727i | ||||
\(845\) | 3.97960 | − | 18.1896i | 0.136902 | − | 0.625740i | ||||
\(846\) | 1.79284 | + | 2.86573i | 0.0616391 | + | 0.0985258i | ||||
\(847\) | 7.96316 | + | 13.0294i | 0.273617 | + | 0.447696i | ||||
\(848\) | −34.1601 | + | 4.87548i | −1.17306 | + | 0.167425i | ||||
\(849\) | 22.3336 | − | 12.8943i | 0.766489 | − | 0.442532i | ||||
\(850\) | −18.4109 | + | 11.5181i | −0.631487 | + | 0.395067i | ||||
\(851\) | −2.29747 | − | 3.97933i | −0.0787561 | − | 0.136410i | ||||
\(852\) | −0.733745 | − | 10.3341i | −0.0251377 | − | 0.354040i | ||||
\(853\) | 6.10093 | 0.208892 | 0.104446 | − | 0.994531i | \(-0.466693\pi\) | ||||
0.104446 | + | 0.994531i | \(0.466693\pi\) | |||||||
\(854\) | −2.10822 | + | 3.97010i | −0.0721417 | + | 0.135854i | ||||
\(855\) | −0.814634 | + | 1.41099i | −0.0278599 | + | 0.0482547i | ||||
\(856\) | 16.6947 | − | 37.6594i | 0.570612 | − | 1.28717i | ||||
\(857\) | − | 44.7080i | − | 1.52719i | −0.645693 | − | 0.763597i | \(-0.723431\pi\) | ||
0.645693 | − | 0.763597i | \(-0.276569\pi\) | |||||||
\(858\) | 7.17268 | + | 35.0167i | 0.244871 | + | 1.19545i | ||||
\(859\) | 27.3430i | 0.932932i | 0.884539 | + | 0.466466i | \(0.154473\pi\) | ||||
−0.884539 | + | 0.466466i | \(0.845527\pi\) | |||||||
\(860\) | 13.4304 | − | 9.07987i | 0.457974 | − | 0.309621i | ||||
\(861\) | 3.58360 | − | 6.20697i | 0.122129 | − | 0.211533i | ||||
\(862\) | −15.5284 | − | 8.24592i | −0.528898 | − | 0.280857i | ||||
\(863\) | 41.4120 | 1.40968 | 0.704840 | − | 0.709366i | \(-0.251019\pi\) | ||||
0.704840 | + | 0.709366i | \(0.251019\pi\) | |||||||
\(864\) | 3.23067 | + | 18.0396i | 0.109910 | + | 0.613721i | ||||
\(865\) | 8.36470 | + | 14.4881i | 0.284408 | + | 0.492610i | ||||
\(866\) | 23.9669 | + | 38.3094i | 0.814428 | + | 1.30181i | ||||
\(867\) | 18.5312 | − | 10.6990i | 0.629351 | − | 0.363356i | ||||
\(868\) | −13.9799 | + | 9.45137i | −0.474510 | + | 0.320800i | ||||
\(869\) | 16.1334 | + | 15.7352i | 0.547290 | + | 0.533780i | ||||
\(870\) | −9.05935 | + | 5.66766i | −0.307141 | + | 0.192152i | ||||
\(871\) | 16.8602 | − | 23.0614i | 0.571286 | − | 0.781407i | ||||
\(872\) | 44.2704 | − | 4.72487i | 1.49918 | − | 0.160004i | ||||
\(873\) | −9.11350 | − | 5.26168i | −0.308445 | − | 0.178081i | ||||
\(874\) | −1.25033 | + | 0.0443325i | −0.0422932 | + | 0.00149957i | ||||
\(875\) | −7.90206 | − | 13.6868i | −0.267138 | − | 0.462697i | ||||
\(876\) | 23.3438 | + | 11.3546i | 0.788714 | + | 0.383637i | ||||
\(877\) | −26.2488 | − | 45.4643i | −0.886359 | − | 1.53522i | −0.844148 | − | 0.536110i | \(-0.819893\pi\) |
−0.0422108 | − | 0.999109i | \(-0.513440\pi\) | |||||||
\(878\) | −8.33358 | + | 15.6934i | −0.281245 | + | 0.529628i | ||||
\(879\) | − | 11.5145i | − | 0.388374i | ||||||
\(880\) | −11.2121 | + | 15.3410i | −0.377959 | + | 0.517146i | ||||
\(881\) | 3.91581 | − | 6.78239i | 0.131927 | − | 0.228505i | −0.792492 | − | 0.609882i | \(-0.791217\pi\) |
0.924419 | + | 0.381377i | \(0.124550\pi\) | |||||||
\(882\) | 10.5192 | − | 0.372975i | 0.354200 | − | 0.0125587i | ||||
\(883\) | − | 40.9167i | − | 1.37696i | −0.725257 | − | 0.688479i | \(-0.758279\pi\) | ||
0.725257 | − | 0.688479i | \(-0.241721\pi\) | |||||||
\(884\) | 33.1935 | − | 17.5683i | 1.11642 | − | 0.590884i | ||||
\(885\) | 28.0922 | 0.944310 | ||||||||
\(886\) | −0.582696 | − | 16.4341i | −0.0195760 | − | 0.552113i | ||||
\(887\) | 3.06981 | − | 5.31706i | 0.103074 | − | 0.178529i | −0.809876 | − | 0.586602i | \(-0.800465\pi\) |
0.912950 | + | 0.408072i | \(0.133799\pi\) | |||||||
\(888\) | −14.1811 | − | 19.4529i | −0.475888 | − | 0.652797i | ||||
\(889\) | 18.5206i | 0.621162i | ||||||||
\(890\) | −13.4807 | + | 25.3862i | −0.451873 | + | 0.850948i | ||||
\(891\) | −35.9137 | + | 10.1057i | −1.20316 | + | 0.338553i | ||||
\(892\) | 20.6703 | − | 42.4958i | 0.692093 | − | 1.42286i | ||||
\(893\) | 1.09388 | − | 0.631551i | 0.0366052 | − | 0.0211340i | ||||
\(894\) | −1.07367 | − | 30.2814i | −0.0359090 | − | 1.01276i | ||||
\(895\) | −0.699725 | + | 1.21196i | −0.0233892 | + | 0.0405113i | ||||
\(896\) | −11.2568 | + | 10.9523i | −0.376062 | + | 0.365891i | ||||
\(897\) | −3.51313 | − | 7.95424i | −0.117300 | − | 0.265584i | ||||
\(898\) | −18.2398 | + | 11.4111i | −0.608670 | + | 0.380792i | ||||
\(899\) | −13.1387 | − | 7.58564i | −0.438201 | − | 0.252995i | ||||
\(900\) | 4.84585 | + | 7.16771i | 0.161528 | + | 0.238924i | ||||
\(901\) | −38.9087 | + | 22.4639i | −1.29624 | + | 0.748382i | ||||
\(902\) | 10.9124 | − | 3.49236i | 0.363342 | − | 0.116283i | ||||
\(903\) | 8.30244 | + | 14.3802i | 0.276288 | + | 0.478545i | ||||
\(904\) | 26.0982 | + | 35.8000i | 0.868012 | + | 1.19069i | ||||
\(905\) | 19.0257i | 0.632435i | ||||||||
\(906\) | −14.1922 | + | 26.7261i | −0.471503 | + | 0.887914i | ||||
\(907\) | 7.85514 | + | 4.53517i | 0.260826 | + | 0.150588i | 0.624711 | − | 0.780856i | \(-0.285217\pi\) |
−0.363886 | + | 0.931444i | \(0.618550\pi\) | |||||||
\(908\) | −24.2150 | + | 16.3710i | −0.803603 | + | 0.543289i | ||||
\(909\) | 15.6289i | 0.518379i | ||||||||
\(910\) | 4.42213 | + | 9.12316i | 0.146592 | + | 0.302430i | ||||
\(911\) | − | 6.15728i | − | 0.204000i | −0.994784 | − | 0.102000i | \(-0.967476\pi\) | ||
0.994784 | − | 0.102000i | \(-0.0325241\pi\) | |||||||
\(912\) | −6.48895 | + | 0.926132i | −0.214871 | + | 0.0306673i | ||||
\(913\) | 3.82913 | − | 3.92604i | 0.126726 | − | 0.129933i | ||||
\(914\) | 22.2664 | − | 41.9310i | 0.736506 | − | 1.38696i | ||||
\(915\) | − | 6.93148i | − | 0.229148i | ||||||
\(916\) | 3.98773 | + | 56.1633i | 0.131758 | + | 1.85569i | ||||
\(917\) | −5.53845 | + | 3.19762i | −0.182896 | + | 0.105595i | ||||
\(918\) | 12.6556 | + | 20.2290i | 0.417696 | + | 0.667658i | ||||
\(919\) | −4.66658 | − | 8.08275i | −0.153936 | − | 0.266625i | 0.778735 | − | 0.627353i | \(-0.215862\pi\) |
−0.932671 | + | 0.360728i | \(0.882528\pi\) | |||||||
\(920\) | 1.87339 | − | 4.22594i | 0.0617638 | − | 0.139325i | ||||
\(921\) | −15.4779 | + | 26.8086i | −0.510016 | + | 0.883373i | ||||
\(922\) | −28.4790 | − | 45.5217i | −0.937905 | − | 1.49918i | ||||
\(923\) | −3.57016 | − | 8.08336i | −0.117513 | − | 0.266067i | ||||
\(924\) | −14.8602 | − | 12.5680i | −0.488866 | − | 0.413456i | ||||
\(925\) | 10.2828 | + | 5.93675i | 0.338095 | + | 0.195199i | ||||
\(926\) | 21.6657 | − | 0.768192i | 0.711979 | − | 0.0252444i | ||||
\(927\) | −8.02146 | + | 4.63119i | −0.263459 | + | 0.152108i | ||||
\(928\) | −13.2813 | − | 4.79379i | −0.435980 | − | 0.157364i | ||||
\(929\) | 45.3079 | − | 26.1585i | 1.48650 | − | 0.858233i | 0.486622 | − | 0.873612i | \(-0.338229\pi\) |
0.999882 | + | 0.0153790i | \(0.00489547\pi\) | |||||||
\(930\) | 12.2039 | − | 22.9819i | 0.400182 | − | 0.753606i | ||||
\(931\) | − | 3.93309i | − | 0.128902i | ||||||
\(932\) | 1.86058 | + | 26.2045i | 0.0609454 | + | 0.858357i | ||||
\(933\) | −3.48830 | + | 6.04192i | −0.114202 | + | 0.197803i | ||||
\(934\) | −0.725220 | − | 20.4537i | −0.0237299 | − | 0.669267i | ||||
\(935\) | −6.10416 | + | 23.9755i | −0.199628 | + | 0.784082i | ||||
\(936\) | −7.46342 | − | 12.9680i | −0.243950 | − | 0.423873i | ||||
\(937\) | 37.7957i | 1.23473i | 0.786676 | + | 0.617366i | \(0.211800\pi\) | ||||
−0.786676 | + | 0.617366i | \(0.788200\pi\) | |||||||
\(938\) | 0.551174 | + | 15.5450i | 0.0179965 | + | 0.507564i | ||||
\(939\) | −3.94598 | − | 2.27821i | −0.128772 | − | 0.0743467i | ||||
\(940\) | 0.330525 | + | 4.65512i | 0.0107805 | + | 0.151833i | ||||
\(941\) | −36.3253 | −1.18417 | −0.592085 | − | 0.805876i | \(-0.701695\pi\) | ||||
−0.592085 | + | 0.805876i | \(0.701695\pi\) | |||||||
\(942\) | 24.0469 | + | 12.7695i | 0.783491 | + | 0.416052i | ||||
\(943\) | −2.41390 | + | 1.39366i | −0.0786073 | + | 0.0453840i | ||||
\(944\) | 22.9154 | + | 29.2013i | 0.745831 | + | 0.950420i | ||||
\(945\) | −5.57855 | + | 3.22078i | −0.181470 | + | 0.104772i | ||||
\(946\) | −5.63374 | + | 25.9401i | −0.183169 | + | 0.843384i | ||||
\(947\) | 8.85291 | − | 15.3337i | 0.287681 | − | 0.498278i | −0.685575 | − | 0.728002i | \(-0.740449\pi\) |
0.973256 | + | 0.229724i | \(0.0737824\pi\) | |||||||
\(948\) | −25.8297 | − | 12.5638i | −0.838910 | − | 0.408053i | ||||
\(949\) | 22.0134 | + | 2.37995i | 0.714584 | + | 0.0772564i | ||||
\(950\) | 2.74078 | − | 1.71467i | 0.0889225 | − | 0.0556311i | ||||
\(951\) | −11.5681 | + | 20.0365i | −0.375120 | + | 0.649727i | ||||
\(952\) | −8.28738 | + | 18.6945i | −0.268596 | + | 0.605892i | ||||
\(953\) | 19.8800 | − | 11.4777i | 0.643978 | − | 0.371801i | −0.142167 | − | 0.989843i | \(-0.545407\pi\) |
0.786145 | + | 0.618042i | \(0.212074\pi\) | |||||||
\(954\) | 9.49333 | + | 15.1744i | 0.307358 | + | 0.491290i | ||||
\(955\) | 17.1216 | + | 29.6555i | 0.554043 | + | 0.959630i | ||||
\(956\) | −0.195699 | − | 2.75623i | −0.00632935 | − | 0.0891427i | ||||
\(957\) | 4.31710 | − | 16.9564i | 0.139552 | − | 0.548122i | ||||
\(958\) | −34.7134 | − | 18.4336i | −1.12154 | − | 0.595563i | ||||
\(959\) | −10.0104 | + | 17.3386i | −0.323254 | + | 0.559892i | ||||
\(960\) | 7.40979 | − | 23.0566i | 0.239150 | − | 0.744149i | ||||
\(961\) | 5.94262 | 0.191697 | ||||||||
\(962\) | −16.9948 | − | 11.5236i | −0.547935 | − | 0.371536i | ||||
\(963\) | −21.3684 | −0.688588 | ||||||||
\(964\) | 5.56133 | + | 8.22601i | 0.179118 | + | 0.264942i | ||||
\(965\) | −9.44896 | − | 5.45536i | −0.304173 | − | 0.175614i | ||||
\(966\) | 4.18165 | + | 2.22055i | 0.134542 | + | 0.0714452i | ||||
\(967\) | − | 37.7999i | − | 1.21556i | −0.794104 | − | 0.607782i | \(-0.792059\pi\) | ||
0.794104 | − | 0.607782i | \(-0.207941\pi\) | |||||||
\(968\) | −4.07389 | − | 30.8448i | −0.130940 | − | 0.991390i | ||||
\(969\) | −7.39097 | + | 4.26718i | −0.237432 | + | 0.137082i | ||||
\(970\) | −7.70547 | − | 12.3167i | −0.247408 | − | 0.395464i | ||||
\(971\) | 28.4209 | − | 16.4088i | 0.912071 | − | 0.526585i | 0.0309743 | − | 0.999520i | \(-0.490139\pi\) |
0.881097 | + | 0.472936i | \(0.156806\pi\) | |||||||
\(972\) | 23.2894 | − | 15.7452i | 0.747009 | − | 0.505028i | ||||
\(973\) | −10.1046 | − | 5.83392i | −0.323940 | − | 0.187027i | ||||
\(974\) | 7.58148 | + | 12.1185i | 0.242926 | + | 0.388301i | ||||
\(975\) | 18.1389 | + | 13.2613i | 0.580909 | + | 0.424702i | ||||
\(976\) | 7.20512 | − | 5.65414i | 0.230630 | − | 0.180985i | ||||
\(977\) | −9.42678 | − | 5.44256i | −0.301589 | − | 0.174123i | 0.341567 | − | 0.939857i | \(-0.389042\pi\) |
−0.643157 | + | 0.765735i | \(0.722376\pi\) | |||||||
\(978\) | −2.31524 | − | 65.2980i | −0.0740333 | − | 2.08800i | ||||
\(979\) | −12.7482 | − | 45.3046i | −0.407433 | − | 1.44794i | ||||
\(980\) | 13.0679 | + | 6.35633i | 0.417439 | + | 0.203046i | ||||
\(981\) | −11.5473 | − | 20.0005i | −0.368677 | − | 0.638568i | ||||
\(982\) | −21.6236 | + | 40.7206i | −0.690037 | + | 1.29945i | ||||
\(983\) | −53.6872 | −1.71236 | −0.856178 | − | 0.516682i | \(-0.827167\pi\) | ||||
−0.856178 | + | 0.516682i | \(0.827167\pi\) | |||||||
\(984\) | −11.8003 | + | 8.60241i | −0.376180 | + | 0.274235i | ||||
\(985\) | −16.6781 | − | 9.62912i | −0.531409 | − | 0.306809i | ||||
\(986\) | −18.3729 | + | 0.651441i | −0.585113 | + | 0.0207461i | ||||
\(987\) | −4.78001 | −0.152149 | ||||||||
\(988\) | −4.94143 | + | 2.61534i | −0.157208 | + | 0.0832050i | ||||
\(989\) | − | 6.45765i | − | 0.205341i | ||||||
\(990\) | 9.63205 | + | 2.09192i | 0.306126 | + | 0.0664855i | ||||
\(991\) | 28.6127 | + | 16.5196i | 0.908914 | + | 0.524762i | 0.880081 | − | 0.474823i | \(-0.157488\pi\) |
0.0288322 | + | 0.999584i | \(0.490821\pi\) | |||||||
\(992\) | 33.8442 | − | 6.06106i | 1.07455 | − | 0.192439i | ||||
\(993\) | 47.8274i | 1.51776i | ||||||||
\(994\) | 4.24954 | + | 2.25660i | 0.134787 | + | 0.0715751i | ||||
\(995\) | −15.5991 | − | 27.0184i | −0.494523 | − | 0.856540i | ||||
\(996\) | −3.05737 | + | 6.28560i | −0.0968765 | + | 0.199167i | ||||
\(997\) | −11.5297 | + | 6.65670i | −0.365150 | + | 0.210820i | −0.671338 | − | 0.741152i | \(-0.734280\pi\) |
0.306187 | + | 0.951971i | \(0.400947\pi\) | |||||||
\(998\) | −34.0402 | + | 1.20695i | −1.07753 | + | 0.0382054i | ||||
\(999\) | 6.52304 | − | 11.2982i | 0.206380 | − | 0.357460i |
(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 | 572.2.s.a.43.1 | ✓ | 160 | |
4.3 | odd | 2 | inner | 572.2.s.a.43.54 | yes | 160 | |
11.10 | odd | 2 | inner | 572.2.s.a.43.80 | yes | 160 | |
13.10 | even | 6 | inner | 572.2.s.a.439.27 | yes | 160 | |
44.43 | even | 2 | inner | 572.2.s.a.43.27 | yes | 160 | |
52.23 | odd | 6 | inner | 572.2.s.a.439.80 | yes | 160 | |
143.10 | odd | 6 | inner | 572.2.s.a.439.54 | yes | 160 | |
572.439 | even | 6 | inner | 572.2.s.a.439.1 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.s.a.43.1 | ✓ | 160 | 1.1 | even | 1 | trivial | |
572.2.s.a.43.27 | yes | 160 | 44.43 | even | 2 | inner | |
572.2.s.a.43.54 | yes | 160 | 4.3 | odd | 2 | inner | |
572.2.s.a.43.80 | yes | 160 | 11.10 | odd | 2 | inner | |
572.2.s.a.439.1 | yes | 160 | 572.439 | even | 6 | inner | |
572.2.s.a.439.27 | yes | 160 | 13.10 | even | 6 | inner | |
572.2.s.a.439.54 | yes | 160 | 143.10 | odd | 6 | inner | |
572.2.s.a.439.80 | yes | 160 | 52.23 | odd | 6 | inner |