Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(29,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bq (of order \(30\), degree \(8\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(416\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 29.12 | ||
Character | \(\chi\) | \(=\) | 429.29 |
Dual form | 429.2.bq.a.74.12 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.179632 | + | 1.70909i | −0.127019 | + | 1.20851i | 0.726396 | + | 0.687277i | \(0.241194\pi\) |
−0.853415 | + | 0.521232i | \(0.825473\pi\) | |||||||
\(3\) | 1.33049 | − | 1.10896i | 0.768160 | − | 0.640258i | ||||
\(4\) | −0.932422 | − | 0.198192i | −0.466211 | − | 0.0990962i | ||||
\(5\) | 1.96134 | + | 2.69955i | 0.877136 | + | 1.20727i | 0.977206 | + | 0.212294i | \(0.0680934\pi\) |
−0.100070 | + | 0.994980i | \(0.531907\pi\) | |||||||
\(6\) | 1.65631 | + | 2.47313i | 0.676186 | + | 1.00965i | ||||
\(7\) | −0.393158 | + | 1.84966i | −0.148600 | + | 0.699106i | 0.839257 | + | 0.543736i | \(0.182991\pi\) |
−0.987856 | + | 0.155371i | \(0.950343\pi\) | |||||||
\(8\) | −0.555871 | + | 1.71080i | −0.196530 | + | 0.604858i | ||||
\(9\) | 0.540418 | − | 2.95092i | 0.180139 | − | 0.983641i | ||||
\(10\) | −4.96609 | + | 2.86717i | −1.57041 | + | 0.906679i | ||||
\(11\) | −2.27214 | + | 2.41607i | −0.685075 | + | 0.728473i | ||||
\(12\) | −1.46037 | + | 0.770325i | −0.421572 | + | 0.222374i | ||||
\(13\) | −0.125170 | − | 3.60338i | −0.0347159 | − | 0.999397i | ||||
\(14\) | −3.09061 | − | 1.00420i | −0.826001 | − | 0.268384i | ||||
\(15\) | 5.60323 | + | 1.41668i | 1.44675 | + | 0.365786i | ||||
\(16\) | −4.56573 | − | 2.03279i | −1.14143 | − | 0.508199i | ||||
\(17\) | −0.258678 | − | 2.46116i | −0.0627387 | − | 0.596918i | −0.980050 | − | 0.198749i | \(-0.936312\pi\) |
0.917312 | − | 0.398170i | \(-0.130354\pi\) | |||||||
\(18\) | 4.94631 | + | 1.45370i | 1.16586 | + | 0.342641i | ||||
\(19\) | 0.422358 | − | 0.380293i | 0.0968956 | − | 0.0872452i | −0.619259 | − | 0.785186i | \(-0.712567\pi\) |
0.716155 | + | 0.697941i | \(0.245900\pi\) | |||||||
\(20\) | −1.29376 | − | 2.90584i | −0.289294 | − | 0.649766i | ||||
\(21\) | 1.52811 | + | 2.89696i | 0.333460 | + | 0.632168i | ||||
\(22\) | −3.72113 | − | 4.31729i | −0.793347 | − | 0.920449i | ||||
\(23\) | 5.92755 | − | 3.42227i | 1.23598 | − | 0.713593i | 0.267710 | − | 0.963500i | \(-0.413733\pi\) |
0.968270 | + | 0.249907i | \(0.0803999\pi\) | |||||||
\(24\) | 1.15762 | + | 2.89264i | 0.236298 | + | 0.590458i | ||||
\(25\) | −1.89563 | + | 5.83416i | −0.379126 | + | 1.16683i | ||||
\(26\) | 6.18098 | + | 0.433357i | 1.21219 | + | 0.0849883i | ||||
\(27\) | −2.55343 | − | 4.52548i | −0.491408 | − | 0.870929i | ||||
\(28\) | 0.733178 | − | 1.64674i | 0.138558 | − | 0.311206i | ||||
\(29\) | −3.14310 | + | 3.49077i | −0.583660 | + | 0.648220i | −0.960573 | − | 0.278029i | \(-0.910319\pi\) |
0.376913 | + | 0.926249i | \(0.376986\pi\) | |||||||
\(30\) | −3.42776 | + | 9.32194i | −0.625821 | + | 1.70195i | ||||
\(31\) | 1.27653 | + | 0.927452i | 0.229271 | + | 0.166575i | 0.696490 | − | 0.717566i | \(-0.254744\pi\) |
−0.467219 | + | 0.884142i | \(0.654744\pi\) | |||||||
\(32\) | 2.49554 | − | 4.32241i | 0.441154 | − | 0.764101i | ||||
\(33\) | −0.343735 | + | 5.73427i | −0.0598367 | + | 0.998208i | ||||
\(34\) | 4.25280 | 0.729350 | ||||||||
\(35\) | −5.76436 | + | 2.56646i | −0.974355 | + | 0.433811i | ||||
\(36\) | −1.08875 | + | 2.64440i | −0.181458 | + | 0.440733i | ||||
\(37\) | 1.75384 | − | 1.94784i | 0.288330 | − | 0.320222i | −0.581527 | − | 0.813527i | \(-0.697545\pi\) |
0.869857 | + | 0.493305i | \(0.164211\pi\) | |||||||
\(38\) | 0.574085 | + | 0.790160i | 0.0931289 | + | 0.128181i | ||||
\(39\) | −4.16254 | − | 4.65546i | −0.666539 | − | 0.745470i | ||||
\(40\) | −5.70863 | + | 1.85485i | −0.902613 | + | 0.293277i | ||||
\(41\) | 1.80272 | − | 0.383180i | 0.281538 | − | 0.0598427i | −0.0649784 | − | 0.997887i | \(-0.520698\pi\) |
0.346516 | + | 0.938044i | \(0.387365\pi\) | |||||||
\(42\) | −5.22565 | + | 2.09128i | −0.806336 | + | 0.322692i | ||||
\(43\) | 6.47641 | + | 3.73915i | 0.987643 | + | 0.570216i | 0.904569 | − | 0.426328i | \(-0.140193\pi\) |
0.0830738 | + | 0.996543i | \(0.473526\pi\) | |||||||
\(44\) | 2.59744 | − | 1.80248i | 0.391578 | − | 0.271734i | ||||
\(45\) | 9.02610 | − | 4.32887i | 1.34553 | − | 0.645310i | ||||
\(46\) | 4.78419 | + | 10.7455i | 0.705390 | + | 1.58433i | ||||
\(47\) | −4.97659 | − | 1.61699i | −0.725911 | − | 0.235863i | −0.0773267 | − | 0.997006i | \(-0.524638\pi\) |
−0.648584 | + | 0.761143i | \(0.724638\pi\) | |||||||
\(48\) | −8.32895 | + | 2.35859i | −1.20218 | + | 0.340434i | ||||
\(49\) | 3.12814 | + | 1.39274i | 0.446878 | + | 0.198963i | ||||
\(50\) | −9.63057 | − | 4.28781i | −1.36197 | − | 0.606388i | ||||
\(51\) | −3.07349 | − | 2.98769i | −0.430375 | − | 0.418360i | ||||
\(52\) | −0.597451 | + | 3.38468i | −0.0828516 | + | 0.469370i | ||||
\(53\) | 5.12643 | − | 7.05593i | 0.704170 | − | 0.969207i | −0.295733 | − | 0.955271i | \(-0.595564\pi\) |
0.999903 | − | 0.0139361i | \(-0.00443615\pi\) | |||||||
\(54\) | 8.19313 | − | 3.55112i | 1.11494 | − | 0.483246i | ||||
\(55\) | −10.9787 | − | 1.39501i | −1.48037 | − | 0.188104i | ||||
\(56\) | −2.94585 | − | 1.70079i | −0.393656 | − | 0.227277i | ||||
\(57\) | 0.140215 | − | 0.974354i | 0.0185719 | − | 0.129056i | ||||
\(58\) | −5.40143 | − | 5.99890i | −0.709243 | − | 0.787694i | ||||
\(59\) | 2.02502 | − | 9.52697i | 0.263635 | − | 1.24031i | −0.624610 | − | 0.780937i | \(-0.714742\pi\) |
0.888246 | − | 0.459369i | \(-0.151924\pi\) | |||||||
\(60\) | −4.94380 | − | 2.43147i | −0.638242 | − | 0.313901i | ||||
\(61\) | 3.13552 | − | 0.329557i | 0.401463 | − | 0.0421954i | 0.0983542 | − | 0.995151i | \(-0.468642\pi\) |
0.303109 | + | 0.952956i | \(0.401976\pi\) | |||||||
\(62\) | −1.81440 | + | 2.01510i | −0.230430 | + | 0.255918i | ||||
\(63\) | 5.24574 | + | 2.15977i | 0.660901 | + | 0.272105i | ||||
\(64\) | −1.14754 | − | 0.833735i | −0.143442 | − | 0.104217i | ||||
\(65\) | 9.48199 | − | 7.40534i | 1.17610 | − | 0.918519i | ||||
\(66\) | −9.73863 | − | 1.61754i | −1.19874 | − | 0.199105i | ||||
\(67\) | 4.89627 | + | 8.48060i | 0.598175 | + | 1.03607i | 0.993090 | + | 0.117352i | \(0.0374406\pi\) |
−0.394915 | + | 0.918718i | \(0.629226\pi\) | |||||||
\(68\) | −0.246586 | + | 2.34611i | −0.0299029 | + | 0.284507i | ||||
\(69\) | 4.09140 | − | 11.1267i | 0.492546 | − | 1.33950i | ||||
\(70\) | −3.35084 | − | 10.3128i | −0.400502 | − | 1.23262i | ||||
\(71\) | −8.25316 | + | 0.867442i | −0.979470 | + | 0.102946i | −0.580712 | − | 0.814109i | \(-0.697226\pi\) |
−0.398759 | + | 0.917056i | \(0.630559\pi\) | |||||||
\(72\) | 4.74803 | + | 2.56488i | 0.559560 | + | 0.302274i | ||||
\(73\) | −14.8405 | + | 4.82198i | −1.73695 | + | 0.564370i | −0.994425 | − | 0.105447i | \(-0.966373\pi\) |
−0.742527 | + | 0.669816i | \(0.766373\pi\) | |||||||
\(74\) | 3.01398 | + | 3.34736i | 0.350368 | + | 0.389123i | ||||
\(75\) | 3.94772 | + | 9.86448i | 0.455843 | + | 1.13905i | ||||
\(76\) | −0.469187 | + | 0.270885i | −0.0538195 | + | 0.0310727i | ||||
\(77\) | −3.57560 | − | 5.15258i | −0.407478 | − | 0.587191i | ||||
\(78\) | 8.70432 | − | 6.27788i | 0.985570 | − | 0.710830i | ||||
\(79\) | 5.01074 | − | 6.89669i | 0.563752 | − | 0.775939i | −0.428045 | − | 0.903757i | \(-0.640798\pi\) |
0.991798 | + | 0.127819i | \(0.0407976\pi\) | |||||||
\(80\) | −3.46731 | − | 16.3124i | −0.387657 | − | 1.82378i | ||||
\(81\) | −8.41590 | − | 3.18946i | −0.935100 | − | 0.354385i | ||||
\(82\) | 0.331062 | + | 3.14984i | 0.0365597 | + | 0.347842i | ||||
\(83\) | −10.1384 | + | 7.36596i | −1.11283 | + | 0.808519i | −0.983107 | − | 0.183032i | \(-0.941409\pi\) |
−0.129723 | + | 0.991550i | \(0.541409\pi\) | |||||||
\(84\) | −0.850686 | − | 3.00405i | −0.0928174 | − | 0.327768i | ||||
\(85\) | 6.13666 | − | 5.52547i | 0.665614 | − | 0.599321i | ||||
\(86\) | −7.55392 | + | 10.3971i | −0.814560 | + | 1.12115i | ||||
\(87\) | −0.310751 | + | 8.13002i | −0.0333160 | + | 0.871629i | ||||
\(88\) | −2.87039 | − | 5.23019i | −0.305984 | − | 0.557540i | ||||
\(89\) | 12.6837 | − | 7.32291i | 1.34446 | − | 0.776227i | 0.357006 | − | 0.934102i | \(-0.383798\pi\) |
0.987459 | + | 0.157875i | \(0.0504643\pi\) | |||||||
\(90\) | 5.77704 | + | 16.2040i | 0.608954 | + | 1.70805i | ||||
\(91\) | 6.71424 | + | 1.18517i | 0.703844 | + | 0.124240i | ||||
\(92\) | −6.20525 | + | 2.01621i | −0.646942 | + | 0.210204i | ||||
\(93\) | 2.72692 | − | 0.181651i | 0.282768 | − | 0.0188363i | ||||
\(94\) | 3.65754 | − | 8.21497i | 0.377247 | − | 0.847310i | ||||
\(95\) | 1.85500 | + | 0.394293i | 0.190319 | + | 0.0404536i | ||||
\(96\) | −1.47307 | − | 8.51838i | −0.150345 | − | 0.869404i | ||||
\(97\) | −2.04180 | + | 0.909068i | −0.207313 | + | 0.0923019i | −0.507767 | − | 0.861495i | \(-0.669529\pi\) |
0.300453 | + | 0.953797i | \(0.402862\pi\) | |||||||
\(98\) | −2.94223 | + | 5.09609i | −0.297210 | + | 0.514783i | ||||
\(99\) | 5.90174 | + | 8.01059i | 0.593147 | + | 0.805094i | ||||
\(100\) | 2.92381 | − | 5.06420i | 0.292381 | − | 0.506420i | ||||
\(101\) | −0.445908 | + | 4.24253i | −0.0443695 | + | 0.422148i | 0.949680 | + | 0.313221i | \(0.101408\pi\) |
−0.994050 | + | 0.108927i | \(0.965259\pi\) | |||||||
\(102\) | 5.65832 | − | 4.71619i | 0.560257 | − | 0.466972i | ||||
\(103\) | 2.80233 | + | 8.62469i | 0.276122 | + | 0.849816i | 0.988920 | + | 0.148447i | \(0.0474275\pi\) |
−0.712798 | + | 0.701369i | \(0.752573\pi\) | |||||||
\(104\) | 6.23422 | + | 1.78887i | 0.611316 | + | 0.175414i | ||||
\(105\) | −4.82334 | + | 9.80710i | −0.470710 | + | 0.957075i | ||||
\(106\) | 11.1383 | + | 10.0290i | 1.08185 | + | 0.974103i | ||||
\(107\) | 3.06242 | − | 0.650937i | 0.296055 | − | 0.0629284i | −0.0574896 | − | 0.998346i | \(-0.518310\pi\) |
0.353545 | + | 0.935418i | \(0.384976\pi\) | |||||||
\(108\) | 1.48396 | + | 4.72573i | 0.142794 | + | 0.454734i | ||||
\(109\) | − | 16.1094i | − | 1.54300i | −0.636230 | − | 0.771500i | \(-0.719507\pi\) | ||
0.636230 | − | 0.771500i | \(-0.280493\pi\) | |||||||
\(110\) | 4.35634 | − | 18.5130i | 0.415361 | − | 1.76515i | ||||
\(111\) | 0.173398 | − | 4.53652i | 0.0164582 | − | 0.430587i | ||||
\(112\) | 5.55503 | − | 7.64585i | 0.524901 | − | 0.722465i | ||||
\(113\) | −0.0522361 | + | 0.0470336i | −0.00491396 | + | 0.00442455i | −0.671584 | − | 0.740928i | \(-0.734386\pi\) |
0.666670 | + | 0.745353i | \(0.267719\pi\) | |||||||
\(114\) | 1.64007 | + | 0.414665i | 0.153607 | + | 0.0388369i | ||||
\(115\) | 20.8645 | + | 9.28947i | 1.94562 | + | 0.866248i | ||||
\(116\) | 3.62254 | − | 2.63193i | 0.336345 | − | 0.244369i | ||||
\(117\) | −10.7009 | − | 1.57796i | −0.989302 | − | 0.145883i | ||||
\(118\) | 15.9187 | + | 5.17229i | 1.46543 | + | 0.476148i | ||||
\(119\) | 4.65401 | + | 0.489156i | 0.426632 | + | 0.0448409i | ||||
\(120\) | −5.53833 | + | 8.79849i | −0.505578 | + | 0.803189i | ||||
\(121\) | −0.674790 | − | 10.9793i | −0.0613446 | − | 0.998117i | ||||
\(122\) | 5.41809i | 0.490531i | ||||||||
\(123\) | 1.97358 | − | 2.50896i | 0.177951 | − | 0.226226i | ||||
\(124\) | −1.00645 | − | 1.11777i | −0.0903818 | − | 0.100379i | ||||
\(125\) | −3.60001 | + | 1.16971i | −0.321994 | + | 0.104622i | ||||
\(126\) | −4.63354 | + | 8.57747i | −0.412789 | + | 0.764142i | ||||
\(127\) | −1.54709 | + | 3.47482i | −0.137282 | + | 0.308341i | −0.969084 | − | 0.246733i | \(-0.920643\pi\) |
0.831802 | + | 0.555073i | \(0.187310\pi\) | |||||||
\(128\) | 8.31044 | − | 9.22968i | 0.734546 | − | 0.815796i | ||||
\(129\) | 12.7634 | − | 2.20716i | 1.12375 | − | 0.194329i | ||||
\(130\) | 10.9531 | + | 17.5358i | 0.960651 | + | 1.53799i | ||||
\(131\) | −0.646898 | −0.0565198 | −0.0282599 | − | 0.999601i | \(-0.508997\pi\) | ||||
−0.0282599 | + | 0.999601i | \(0.508997\pi\) | |||||||
\(132\) | 1.45700 | − | 5.27863i | 0.126815 | − | 0.459446i | ||||
\(133\) | 0.537360 | + | 0.930734i | 0.0465950 | + | 0.0807049i | ||||
\(134\) | −15.3736 | + | 6.84478i | −1.32808 | + | 0.591299i | ||||
\(135\) | 7.20861 | − | 15.7691i | 0.620418 | − | 1.35719i | ||||
\(136\) | 4.35433 | + | 0.925542i | 0.373381 | + | 0.0793646i | ||||
\(137\) | −14.4227 | + | 1.51588i | −1.23221 | + | 0.129511i | −0.698161 | − | 0.715941i | \(-0.745998\pi\) |
−0.534052 | + | 0.845452i | \(0.679331\pi\) | |||||||
\(138\) | 18.2816 | + | 8.99128i | 1.55623 | + | 0.765388i | ||||
\(139\) | −0.770377 | + | 3.62434i | −0.0653426 | + | 0.307413i | −0.998667 | − | 0.0516224i | \(-0.983561\pi\) |
0.933324 | + | 0.359035i | \(0.116894\pi\) | |||||||
\(140\) | 5.88347 | − | 1.25057i | 0.497244 | − | 0.105693i | ||||
\(141\) | −8.41450 | + | 3.36744i | −0.708628 | + | 0.283590i | ||||
\(142\) | − | 14.2612i | − | 1.19677i | ||||||
\(143\) | 8.99042 | + | 7.88495i | 0.751816 | + | 0.659372i | ||||
\(144\) | −8.46602 | + | 12.3746i | −0.705502 | + | 1.03121i | ||||
\(145\) | −15.5882 | − | 1.63838i | −1.29453 | − | 0.136060i | ||||
\(146\) | −5.57535 | − | 26.2300i | −0.461419 | − | 2.17081i | ||||
\(147\) | 5.70646 | − | 1.61596i | 0.470661 | − | 0.133282i | ||||
\(148\) | −2.02137 | + | 1.46861i | −0.166155 | + | 0.120719i | ||||
\(149\) | −2.09131 | − | 19.8974i | −0.171326 | − | 1.63006i | −0.655574 | − | 0.755131i | \(-0.727573\pi\) |
0.484247 | − | 0.874931i | \(-0.339094\pi\) | |||||||
\(150\) | −17.5684 | + | 4.97502i | −1.43445 | + | 0.406209i | ||||
\(151\) | −17.4563 | − | 5.67189i | −1.42057 | − | 0.461572i | −0.504788 | − | 0.863243i | \(-0.668429\pi\) |
−0.915784 | + | 0.401671i | \(0.868429\pi\) | |||||||
\(152\) | 0.415827 | + | 0.933962i | 0.0337280 | + | 0.0757544i | ||||
\(153\) | −7.40248 | − | 0.566714i | −0.598455 | − | 0.0458161i | ||||
\(154\) | 9.44851 | − | 5.18546i | 0.761383 | − | 0.417856i | ||||
\(155\) | 5.26509i | 0.422902i | ||||||||
\(156\) | 2.95857 | + | 5.16584i | 0.236875 | + | 0.413598i | ||||
\(157\) | 3.36112 | − | 10.3445i | 0.268247 | − | 0.825579i | −0.722681 | − | 0.691182i | \(-0.757090\pi\) |
0.990928 | − | 0.134397i | \(-0.0429097\pi\) | |||||||
\(158\) | 10.8870 | + | 9.80267i | 0.866121 | + | 0.779859i | ||||
\(159\) | −1.00406 | − | 15.0729i | −0.0796274 | − | 1.19536i | ||||
\(160\) | 16.5631 | − | 1.74086i | 1.30943 | − | 0.137627i | ||||
\(161\) | 3.99958 | + | 12.3095i | 0.315211 | + | 0.970121i | ||||
\(162\) | 6.96284 | − | 13.8106i | 0.547053 | − | 1.08506i | ||||
\(163\) | −7.91200 | + | 3.52265i | −0.619716 | + | 0.275915i | −0.692483 | − | 0.721434i | \(-0.743483\pi\) |
0.0727679 | + | 0.997349i | \(0.476817\pi\) | |||||||
\(164\) | −1.75684 | −0.137186 | ||||||||
\(165\) | −16.1541 | + | 10.3189i | −1.25760 | + | 0.803325i | ||||
\(166\) | −10.7679 | − | 18.6505i | −0.835751 | − | 1.44756i | ||||
\(167\) | −1.74397 | + | 16.5927i | −0.134952 | + | 1.28398i | 0.692077 | + | 0.721824i | \(0.256696\pi\) |
−0.827029 | + | 0.562159i | \(0.809971\pi\) | |||||||
\(168\) | −5.80553 | + | 1.00394i | −0.447907 | + | 0.0774560i | ||||
\(169\) | −12.9687 | + | 0.902069i | −0.997590 | + | 0.0693899i | ||||
\(170\) | 8.34118 | + | 11.4806i | 0.639739 | + | 0.880525i | ||||
\(171\) | −0.893965 | − | 1.45186i | −0.0683632 | − | 0.111027i | ||||
\(172\) | −5.29767 | − | 4.77005i | −0.403944 | − | 0.363713i | ||||
\(173\) | −6.50976 | − | 7.22982i | −0.494928 | − | 0.549673i | 0.442992 | − | 0.896526i | \(-0.353917\pi\) |
−0.937920 | + | 0.346853i | \(0.887250\pi\) | |||||||
\(174\) | −13.8391 | − | 1.99152i | −1.04914 | − | 0.150977i | ||||
\(175\) | −10.0459 | − | 5.80002i | −0.759401 | − | 0.438440i | ||||
\(176\) | 15.2853 | − | 6.41234i | 1.15218 | − | 0.483348i | ||||
\(177\) | −7.87075 | − | 14.9212i | −0.591602 | − | 1.12155i | ||||
\(178\) | 10.2371 | + | 22.9929i | 0.767304 | + | 1.72339i | ||||
\(179\) | 3.80772 | + | 17.9139i | 0.284602 | + | 1.33895i | 0.855447 | + | 0.517890i | \(0.173282\pi\) |
−0.570845 | + | 0.821058i | \(0.693384\pi\) | |||||||
\(180\) | −9.27408 | + | 2.24743i | −0.691249 | + | 0.167513i | ||||
\(181\) | −20.1160 | + | 14.6151i | −1.49521 | + | 1.08633i | −0.522970 | + | 0.852351i | \(0.675176\pi\) |
−0.972241 | + | 0.233983i | \(0.924824\pi\) | |||||||
\(182\) | −3.23166 | + | 11.2623i | −0.239547 | + | 0.834820i | ||||
\(183\) | 3.80632 | − | 3.91564i | 0.281372 | − | 0.289453i | ||||
\(184\) | 2.55986 | + | 12.0432i | 0.188715 | + | 0.887835i | ||||
\(185\) | 8.69815 | + | 0.914212i | 0.639501 | + | 0.0672142i | ||||
\(186\) | −0.179386 | + | 4.69317i | −0.0131532 | + | 0.344120i | ||||
\(187\) | 6.53408 | + | 4.96710i | 0.477819 | + | 0.363230i | ||||
\(188\) | 4.31981 | + | 2.49404i | 0.315054 | + | 0.181897i | ||||
\(189\) | 9.37451 | − | 2.94376i | 0.681895 | − | 0.214127i | ||||
\(190\) | −1.00710 | + | 3.09954i | −0.0730628 | + | 0.224864i | ||||
\(191\) | 1.62875 | − | 7.66266i | 0.117852 | − | 0.554451i | −0.879114 | − | 0.476612i | \(-0.841865\pi\) |
0.996966 | − | 0.0778388i | \(-0.0248020\pi\) | |||||||
\(192\) | −2.45137 | + | 0.163295i | −0.176912 | + | 0.0117848i | ||||
\(193\) | 10.7770 | − | 24.2056i | 0.775747 | − | 1.74236i | 0.112893 | − | 0.993607i | \(-0.463988\pi\) |
0.662854 | − | 0.748749i | \(-0.269345\pi\) | |||||||
\(194\) | −1.18690 | − | 3.65292i | −0.0852148 | − | 0.262264i | ||||
\(195\) | 4.40349 | − | 20.3679i | 0.315341 | − | 1.45857i | ||||
\(196\) | −2.64072 | − | 1.91859i | −0.188623 | − | 0.137042i | ||||
\(197\) | 0.175406 | + | 0.303811i | 0.0124971 | + | 0.0216457i | 0.872206 | − | 0.489138i | \(-0.162689\pi\) |
−0.859709 | + | 0.510784i | \(0.829355\pi\) | |||||||
\(198\) | −14.7510 | + | 8.64763i | −1.04830 | + | 0.614560i | ||||
\(199\) | 1.31577 | − | 2.27899i | 0.0932727 | − | 0.161553i | −0.815614 | − | 0.578597i | \(-0.803600\pi\) |
0.908886 | + | 0.417044i | \(0.136934\pi\) | |||||||
\(200\) | −8.92732 | − | 6.48608i | −0.631257 | − | 0.458635i | ||||
\(201\) | 15.9191 | + | 5.85359i | 1.12285 | + | 0.412881i | ||||
\(202\) | −7.17077 | − | 1.52419i | −0.504533 | − | 0.107242i | ||||
\(203\) | −5.22101 | − | 7.18610i | −0.366443 | − | 0.504366i | ||||
\(204\) | 2.27366 | + | 3.39493i | 0.159188 | + | 0.237693i | ||||
\(205\) | 4.57016 | + | 4.11499i | 0.319194 | + | 0.287403i | ||||
\(206\) | −15.2438 | + | 3.24016i | −1.06208 | + | 0.225753i | ||||
\(207\) | −6.89551 | − | 19.3412i | −0.479271 | − | 1.34431i | ||||
\(208\) | −6.75343 | + | 16.7065i | −0.468266 | + | 1.15839i | ||||
\(209\) | −0.0408408 | + | 1.88452i | −0.00282502 | + | 0.130355i | ||||
\(210\) | −15.8948 | − | 10.0052i | −1.09684 | − | 0.690424i | ||||
\(211\) | −9.96417 | − | 1.04728i | −0.685961 | − | 0.0720975i | −0.244865 | − | 0.969557i | \(-0.578744\pi\) |
−0.441096 | + | 0.897460i | \(0.645410\pi\) | |||||||
\(212\) | −6.17843 | + | 5.56309i | −0.424337 | + | 0.382074i | ||||
\(213\) | −10.0188 | + | 10.3065i | −0.686477 | + | 0.706193i | ||||
\(214\) | 0.562399 | + | 5.35087i | 0.0384448 | + | 0.365778i | ||||
\(215\) | 2.60838 | + | 24.8171i | 0.177890 | + | 1.69251i | ||||
\(216\) | 9.16156 | − | 1.85282i | 0.623365 | − | 0.126068i | ||||
\(217\) | −2.21735 | + | 1.99651i | −0.150523 | + | 0.135532i | ||||
\(218\) | 27.5324 | + | 2.89377i | 1.86473 | + | 0.195991i | ||||
\(219\) | −14.3978 | + | 22.8731i | −0.972914 | + | 1.54562i | ||||
\(220\) | 9.96032 | + | 3.47664i | 0.671525 | + | 0.234395i | ||||
\(221\) | −8.83610 | + | 1.24018i | −0.594381 | + | 0.0834234i | ||||
\(222\) | 7.72217 | + | 1.11126i | 0.518278 | + | 0.0745828i | ||||
\(223\) | −27.8292 | + | 5.91527i | −1.86358 | + | 0.396116i | −0.995037 | − | 0.0995025i | \(-0.968275\pi\) |
−0.868540 | + | 0.495618i | \(0.834942\pi\) | |||||||
\(224\) | 7.01385 | + | 6.31530i | 0.468632 | + | 0.421959i | ||||
\(225\) | 16.1917 | + | 8.74674i | 1.07945 | + | 0.583116i | ||||
\(226\) | −0.0710013 | − | 0.0977249i | −0.00472293 | − | 0.00650056i | ||||
\(227\) | −6.36238 | − | 1.35236i | −0.422286 | − | 0.0897596i | −0.00813282 | − | 0.999967i | \(-0.502589\pi\) |
−0.414153 | + | 0.910207i | \(0.635922\pi\) | |||||||
\(228\) | −0.323849 | + | 0.880720i | −0.0214474 | + | 0.0583271i | ||||
\(229\) | −15.7936 | − | 11.4747i | −1.04367 | − | 0.758270i | −0.0726702 | − | 0.997356i | \(-0.523152\pi\) |
−0.970998 | + | 0.239087i | \(0.923152\pi\) | |||||||
\(230\) | −19.6245 | + | 33.9906i | −1.29400 | + | 2.24127i | ||||
\(231\) | −10.4713 | − | 2.89027i | −0.688962 | − | 0.190166i | ||||
\(232\) | −4.22484 | − | 7.31763i | −0.277374 | − | 0.480426i | ||||
\(233\) | 9.11895 | + | 6.62531i | 0.597403 | + | 0.434038i | 0.844956 | − | 0.534836i | \(-0.179627\pi\) |
−0.247553 | + | 0.968874i | \(0.579627\pi\) | |||||||
\(234\) | 4.61911 | − | 18.0054i | 0.301961 | − | 1.17705i | ||||
\(235\) | −5.39562 | − | 16.6060i | −0.351971 | − | 1.08326i | ||||
\(236\) | −3.77635 | + | 8.48181i | −0.245819 | + | 0.552119i | ||||
\(237\) | −0.981403 | − | 14.7327i | −0.0637490 | − | 0.956992i | ||||
\(238\) | −1.67202 | + | 7.86625i | −0.108381 | + | 0.509893i | ||||
\(239\) | −2.47468 | + | 7.61627i | −0.160073 | + | 0.492655i | −0.998640 | − | 0.0521444i | \(-0.983394\pi\) |
0.838566 | + | 0.544800i | \(0.183394\pi\) | |||||||
\(240\) | −22.7030 | − | 17.8584i | −1.46547 | − | 1.15276i | ||||
\(241\) | 11.4470 | + | 6.60894i | 0.737367 | + | 0.425719i | 0.821111 | − | 0.570768i | \(-0.193354\pi\) |
−0.0837439 | + | 0.996487i | \(0.526688\pi\) | |||||||
\(242\) | 18.8858 | + | 0.818959i | 1.21402 | + | 0.0526447i | ||||
\(243\) | −14.7343 | + | 5.08934i | −0.945204 | + | 0.326481i | ||||
\(244\) | −2.98895 | − | 0.314151i | −0.191348 | − | 0.0201115i | ||||
\(245\) | 2.37557 | + | 11.1762i | 0.151770 | + | 0.714021i | ||||
\(246\) | 3.93353 | + | 3.82371i | 0.250792 | + | 0.243791i | ||||
\(247\) | −1.42321 | − | 1.47431i | −0.0905564 | − | 0.0938084i | ||||
\(248\) | −2.29627 | + | 1.66834i | −0.145813 | + | 0.105939i | ||||
\(249\) | −5.32047 | + | 21.0434i | −0.337171 | + | 1.33357i | ||||
\(250\) | −1.35247 | − | 6.36285i | −0.0855375 | − | 0.402422i | ||||
\(251\) | 10.3705 | + | 23.2925i | 0.654579 | + | 1.47021i | 0.869679 | + | 0.493617i | \(0.164326\pi\) |
−0.215100 | + | 0.976592i | \(0.569008\pi\) | |||||||
\(252\) | −4.46320 | − | 3.05348i | −0.281155 | − | 0.192351i | ||||
\(253\) | −5.19975 | + | 22.0972i | −0.326906 | + | 1.38924i | ||||
\(254\) | −5.66087 | − | 3.26831i | −0.355195 | − | 0.205072i | ||||
\(255\) | 2.03725 | − | 14.1569i | 0.127578 | − | 0.886539i | ||||
\(256\) | 12.3833 | + | 13.7530i | 0.773955 | + | 0.859564i | ||||
\(257\) | −9.68677 | − | 8.72201i | −0.604244 | − | 0.544064i | 0.309216 | − | 0.950992i | \(-0.399933\pi\) |
−0.913460 | + | 0.406928i | \(0.866600\pi\) | |||||||
\(258\) | 1.47951 | + | 22.2102i | 0.0921103 | + | 1.38275i | ||||
\(259\) | 2.91330 | + | 4.00982i | 0.181024 | + | 0.249158i | ||||
\(260\) | −10.3089 | + | 5.02564i | −0.639331 | + | 0.311677i | ||||
\(261\) | 8.60241 | + | 11.1615i | 0.532476 | + | 0.690882i | ||||
\(262\) | 0.116204 | − | 1.10561i | 0.00717910 | − | 0.0683046i | ||||
\(263\) | −5.76566 | − | 9.98642i | −0.355526 | − | 0.615789i | 0.631682 | − | 0.775228i | \(-0.282365\pi\) |
−0.987208 | + | 0.159439i | \(0.949032\pi\) | |||||||
\(264\) | −9.61910 | − | 3.77558i | −0.592014 | − | 0.232371i | ||||
\(265\) | 29.1025 | 1.78775 | ||||||||
\(266\) | −1.68724 | + | 0.751206i | −0.103451 | + | 0.0460594i | ||||
\(267\) | 8.75469 | − | 23.8087i | 0.535778 | − | 1.45707i | ||||
\(268\) | −2.88460 | − | 8.87790i | −0.176205 | − | 0.542304i | ||||
\(269\) | 1.50936 | − | 0.158640i | 0.0920274 | − | 0.00967247i | −0.0584028 | − | 0.998293i | \(-0.518601\pi\) |
0.150430 | + | 0.988621i | \(0.451934\pi\) | |||||||
\(270\) | 25.6559 | + | 15.1528i | 1.56137 | + | 0.922170i | ||||
\(271\) | −11.8104 | − | 10.6341i | −0.717430 | − | 0.645977i | 0.227300 | − | 0.973825i | \(-0.427010\pi\) |
−0.944731 | + | 0.327848i | \(0.893677\pi\) | |||||||
\(272\) | −3.82197 | + | 11.7628i | −0.231741 | + | 0.713226i | ||||
\(273\) | 10.2476 | − | 5.86896i | 0.620210 | − | 0.355205i | ||||
\(274\) | − | 24.9219i | − | 1.50559i | ||||||
\(275\) | −9.78859 | − | 17.8360i | −0.590274 | − | 1.07555i | ||||
\(276\) | −6.02014 | + | 9.56392i | −0.362370 | + | 0.575680i | ||||
\(277\) | 6.31932 | + | 14.1934i | 0.379691 | + | 0.852800i | 0.997774 | + | 0.0666873i | \(0.0212430\pi\) |
−0.618083 | + | 0.786113i | \(0.712090\pi\) | |||||||
\(278\) | −6.05594 | − | 1.96769i | −0.363211 | − | 0.118014i | ||||
\(279\) | 3.42670 | − | 3.26572i | 0.205151 | − | 0.195514i | ||||
\(280\) | −1.18645 | − | 11.2883i | −0.0709037 | − | 0.674603i | ||||
\(281\) | 15.1340 | − | 10.9955i | 0.902818 | − | 0.655936i | −0.0363702 | − | 0.999338i | \(-0.511580\pi\) |
0.939188 | + | 0.343403i | \(0.111580\pi\) | |||||||
\(282\) | −4.24374 | − | 14.9860i | −0.252711 | − | 0.892405i | ||||
\(283\) | 5.72694 | + | 26.9431i | 0.340431 | + | 1.60160i | 0.731900 | + | 0.681412i | \(0.238634\pi\) |
−0.391469 | + | 0.920191i | \(0.628033\pi\) | |||||||
\(284\) | 7.86735 | + | 0.826892i | 0.466842 | + | 0.0490670i | ||||
\(285\) | 2.90532 | − | 1.53252i | 0.172097 | − | 0.0907787i | ||||
\(286\) | −15.0910 | + | 13.9490i | −0.892352 | + | 0.824823i | ||||
\(287\) | 3.48508i | 0.205718i | ||||||||
\(288\) | −11.4065 | − | 9.70006i | −0.672132 | − | 0.571581i | ||||
\(289\) | 10.6381 | − | 2.26120i | 0.625772 | − | 0.133012i | ||||
\(290\) | 5.60029 | − | 26.3473i | 0.328860 | − | 1.54717i | ||||
\(291\) | −1.70848 | + | 3.47378i | −0.100153 | + | 0.203637i | ||||
\(292\) | 14.7933 | − | 1.55484i | 0.865713 | − | 0.0909901i | ||||
\(293\) | 14.7137 | + | 3.12750i | 0.859584 | + | 0.182710i | 0.616558 | − | 0.787309i | \(-0.288527\pi\) |
0.243026 | + | 0.970020i | \(0.421860\pi\) | |||||||
\(294\) | 1.73675 | + | 10.0431i | 0.101289 | + | 0.585727i | ||||
\(295\) | 29.6902 | − | 13.2189i | 1.72863 | − | 0.769637i | ||||
\(296\) | 2.35744 | + | 4.08321i | 0.137024 | + | 0.237332i | ||||
\(297\) | 16.7356 | + | 4.11324i | 0.971100 | + | 0.238674i | ||||
\(298\) | 34.3822 | 1.99171 | ||||||||
\(299\) | −13.0737 | − | 20.9308i | −0.756071 | − | 1.21046i | ||||
\(300\) | −1.72588 | − | 9.98026i | −0.0996435 | − | 0.576211i | ||||
\(301\) | −9.46242 | + | 10.5091i | −0.545405 | + | 0.605733i | ||||
\(302\) | 12.8295 | − | 28.8155i | 0.738254 | − | 1.65814i | ||||
\(303\) | 4.11152 | + | 6.13915i | 0.236201 | + | 0.352685i | ||||
\(304\) | −2.70143 | + | 0.877748i | −0.154938 | + | 0.0503423i | ||||
\(305\) | 7.03947 | + | 7.81812i | 0.403079 | + | 0.447664i | ||||
\(306\) | 2.29829 | − | 12.5497i | 0.131385 | − | 0.717419i | ||||
\(307\) | 10.3767i | 0.592228i | 0.955153 | + | 0.296114i | \(0.0956908\pi\) | ||||
−0.955153 | + | 0.296114i | \(0.904309\pi\) | |||||||
\(308\) | 2.31277 | + | 5.51304i | 0.131782 | + | 0.314135i | ||||
\(309\) | 13.2929 | + | 8.36741i | 0.756207 | + | 0.476005i | ||||
\(310\) | −8.99851 | − | 0.945782i | −0.511081 | − | 0.0537168i | ||||
\(311\) | 16.0206 | + | 5.20541i | 0.908446 | + | 0.295172i | 0.725719 | − | 0.687992i | \(-0.241507\pi\) |
0.182727 | + | 0.983164i | \(0.441507\pi\) | |||||||
\(312\) | 10.2784 | − | 4.53342i | 0.581898 | − | 0.256654i | ||||
\(313\) | −12.3363 | + | 8.96283i | −0.697288 | + | 0.506609i | −0.879048 | − | 0.476734i | \(-0.841821\pi\) |
0.181760 | + | 0.983343i | \(0.441821\pi\) | |||||||
\(314\) | 17.0759 | + | 7.60266i | 0.963646 | + | 0.429043i | ||||
\(315\) | 4.45826 | + | 18.3972i | 0.251195 | + | 1.03656i | ||||
\(316\) | −6.03900 | + | 5.43754i | −0.339720 | + | 0.305885i | ||||
\(317\) | −14.2440 | + | 19.6052i | −0.800022 | + | 1.10114i | 0.192766 | + | 0.981245i | \(0.438254\pi\) |
−0.992787 | + | 0.119890i | \(0.961746\pi\) | |||||||
\(318\) | 25.9412 | + | 0.991544i | 1.45471 | + | 0.0556030i | ||||
\(319\) | −1.29239 | − | 15.5255i | −0.0723597 | − | 0.869259i | ||||
\(320\) | − | 4.73307i | − | 0.264586i | ||||||
\(321\) | 3.35266 | − | 4.26216i | 0.187127 | − | 0.237891i | ||||
\(322\) | −21.7564 | + | 4.62447i | −1.21244 | + | 0.257711i | ||||
\(323\) | −1.04522 | − | 0.941116i | −0.0581573 | − | 0.0523651i | ||||
\(324\) | 7.21504 | + | 4.64189i | 0.400836 | + | 0.257883i | ||||
\(325\) | 21.2599 | + | 6.10042i | 1.17929 | + | 0.338390i | ||||
\(326\) | −4.59927 | − | 14.1551i | −0.254730 | − | 0.783978i | ||||
\(327\) | −17.8647 | − | 21.4334i | −0.987918 | − | 1.18527i | ||||
\(328\) | −0.346538 | + | 3.29709i | −0.0191344 | + | 0.182051i | ||||
\(329\) | 4.94748 | − | 8.56928i | 0.272763 | − | 0.472440i | ||||
\(330\) | −14.7341 | − | 29.4624i | −0.811086 | − | 1.62185i | ||||
\(331\) | 15.8782 | − | 27.5019i | 0.872746 | − | 1.51164i | 0.0136018 | − | 0.999907i | \(-0.495670\pi\) |
0.859144 | − | 0.511733i | \(-0.170996\pi\) | |||||||
\(332\) | 10.9131 | − | 4.85883i | 0.598935 | − | 0.266663i | ||||
\(333\) | −4.80011 | − | 6.22810i | −0.263045 | − | 0.341298i | ||||
\(334\) | −28.0452 | − | 5.96118i | −1.53456 | − | 0.326181i | ||||
\(335\) | −13.2905 | + | 29.8510i | −0.726139 | + | 1.63094i | ||||
\(336\) | −1.08801 | − | 16.3330i | −0.0593557 | − | 0.891041i | ||||
\(337\) | 9.04177 | − | 2.93785i | 0.492537 | − | 0.160035i | −0.0522090 | − | 0.998636i | \(-0.516626\pi\) |
0.544746 | + | 0.838601i | \(0.316626\pi\) | |||||||
\(338\) | 0.787877 | − | 22.3266i | 0.0428549 | − | 1.21441i | ||||
\(339\) | −0.0173414 | + | 0.120506i | −0.000941853 | + | 0.00654496i | ||||
\(340\) | −6.81706 | + | 3.93583i | −0.369707 | + | 0.213450i | ||||
\(341\) | −5.14123 | + | 0.976884i | −0.278413 | + | 0.0529012i | ||||
\(342\) | 2.64195 | − | 1.26706i | 0.142860 | − | 0.0685150i | ||||
\(343\) | −11.5864 | + | 15.9473i | −0.625607 | + | 0.861074i | ||||
\(344\) | −9.99698 | + | 9.00132i | −0.539001 | + | 0.485319i | ||||
\(345\) | 38.0617 | − | 10.7783i | 2.04917 | − | 0.580285i | ||||
\(346\) | 13.5258 | − | 9.82705i | 0.727150 | − | 0.528305i | ||||
\(347\) | 2.56960 | + | 24.4481i | 0.137943 | + | 1.31244i | 0.816265 | + | 0.577678i | \(0.196041\pi\) |
−0.678321 | + | 0.734766i | \(0.737292\pi\) | |||||||
\(348\) | 1.90106 | − | 7.51902i | 0.101907 | − | 0.403062i | ||||
\(349\) | −6.96881 | − | 32.7857i | −0.373032 | − | 1.75498i | −0.618705 | − | 0.785623i | \(-0.712342\pi\) |
0.245673 | − | 0.969353i | \(-0.420991\pi\) | |||||||
\(350\) | 11.7173 | − | 16.1275i | 0.626318 | − | 0.862052i | ||||
\(351\) | −15.9874 | + | 9.76744i | −0.853345 | + | 0.521347i | ||||
\(352\) | 4.77302 | + | 15.8505i | 0.254403 | + | 0.844835i | ||||
\(353\) | 13.6735 | − | 7.89440i | 0.727767 | − | 0.420176i | −0.0898378 | − | 0.995956i | \(-0.528635\pi\) |
0.817605 | + | 0.575780i | \(0.195302\pi\) | |||||||
\(354\) | 26.9155 | − | 10.7715i | 1.43054 | − | 0.572497i | ||||
\(355\) | −18.5289 | − | 20.5785i | −0.983413 | − | 1.09219i | ||||
\(356\) | −13.2779 | + | 4.31424i | −0.703726 | + | 0.228654i | ||||
\(357\) | 6.73458 | − | 4.51029i | 0.356432 | − | 0.238710i | ||||
\(358\) | −31.3004 | + | 3.28981i | −1.65428 | + | 0.173872i | ||||
\(359\) | 6.91960 | + | 21.2963i | 0.365202 | + | 1.12398i | 0.949854 | + | 0.312693i | \(0.101231\pi\) |
−0.584652 | + | 0.811284i | \(0.698769\pi\) | |||||||
\(360\) | 2.38846 | + | 17.8481i | 0.125883 | + | 0.940678i | ||||
\(361\) | −1.95228 | + | 18.5747i | −0.102751 | + | 0.977615i | ||||
\(362\) | −21.3651 | − | 37.0054i | −1.12292 | − | 1.94496i | ||||
\(363\) | −13.0734 | − | 13.8595i | −0.686175 | − | 0.727437i | ||||
\(364\) | −6.02562 | − | 2.43579i | −0.315828 | − | 0.127670i | ||||
\(365\) | −42.1244 | − | 30.6052i | −2.20489 | − | 1.60195i | ||||
\(366\) | 6.00844 | + | 7.20872i | 0.314066 | + | 0.376806i | ||||
\(367\) | −12.5609 | + | 13.9503i | −0.655673 | + | 0.728199i | −0.975676 | − | 0.219218i | \(-0.929650\pi\) |
0.320003 | + | 0.947417i | \(0.396316\pi\) | |||||||
\(368\) | −34.0204 | + | 3.57569i | −1.77343 | + | 0.186395i | ||||
\(369\) | −0.156513 | − | 5.52677i | −0.00814775 | − | 0.287712i | ||||
\(370\) | −3.12494 | + | 14.7017i | −0.162458 | + | 0.764304i | ||||
\(371\) | 11.0356 | + | 12.2563i | 0.572939 | + | 0.636314i | ||||
\(372\) | −2.57864 | − | 0.371079i | −0.133696 | − | 0.0192396i | ||||
\(373\) | 9.79594 | + | 5.65569i | 0.507215 | + | 0.292841i | 0.731688 | − | 0.681640i | \(-0.238733\pi\) |
−0.224473 | + | 0.974480i | \(0.572066\pi\) | |||||||
\(374\) | −9.66295 | + | 10.2751i | −0.499659 | + | 0.531311i | ||||
\(375\) | −3.49262 | + | 5.54856i | −0.180358 | + | 0.286526i | ||||
\(376\) | 5.53269 | − | 7.61510i | 0.285327 | − | 0.392719i | ||||
\(377\) | 12.9720 | + | 10.8889i | 0.668091 | + | 0.560804i | ||||
\(378\) | 3.34718 | + | 16.5507i | 0.172160 | + | 0.851275i | ||||
\(379\) | 13.6352 | + | 6.07077i | 0.700392 | + | 0.311835i | 0.725861 | − | 0.687841i | \(-0.241441\pi\) |
−0.0254694 | + | 0.999676i | \(0.508108\pi\) | |||||||
\(380\) | −1.65150 | − | 0.735296i | −0.0847202 | − | 0.0377199i | ||||
\(381\) | 1.79505 | + | 6.33888i | 0.0919630 | + | 0.324751i | ||||
\(382\) | 12.8036 | + | 4.16014i | 0.655089 | + | 0.212851i | ||||
\(383\) | 6.44514 | + | 14.4760i | 0.329331 | + | 0.739690i | 0.999998 | − | 0.00206869i | \(-0.000658484\pi\) |
−0.670667 | + | 0.741759i | \(0.733992\pi\) | |||||||
\(384\) | 0.821633 | − | 21.4959i | 0.0419288 | − | 1.09696i | ||||
\(385\) | 6.89667 | − | 19.7585i | 0.351487 | − | 1.00698i | ||||
\(386\) | 39.4336 | + | 22.7670i | 2.00712 | + | 1.15881i | ||||
\(387\) | 14.5339 | − | 17.0907i | 0.738801 | − | 0.868768i | ||||
\(388\) | 2.08399 | − | 0.442966i | 0.105799 | − | 0.0224882i | ||||
\(389\) | −12.7106 | + | 4.12991i | −0.644451 | + | 0.209395i | −0.612966 | − | 0.790109i | \(-0.710024\pi\) |
−0.0314850 | + | 0.999504i | \(0.510024\pi\) | |||||||
\(390\) | 34.0195 | + | 11.1847i | 1.72265 | + | 0.566359i | ||||
\(391\) | −9.95608 | − | 13.7034i | −0.503501 | − | 0.693009i | ||||
\(392\) | −4.12154 | + | 4.57743i | −0.208169 | + | 0.231195i | ||||
\(393\) | −0.860693 | + | 0.717384i | −0.0434162 | + | 0.0361872i | ||||
\(394\) | −0.550749 | + | 0.245209i | −0.0277463 | + | 0.0123535i | ||||
\(395\) | 28.4457 | 1.43126 | ||||||||
\(396\) | −3.91527 | − | 8.63893i | −0.196750 | − | 0.434123i | ||||
\(397\) | −5.94886 | + | 10.3037i | −0.298565 | + | 0.517130i | −0.975808 | − | 0.218630i | \(-0.929841\pi\) |
0.677243 | + | 0.735759i | \(0.263175\pi\) | |||||||
\(398\) | 3.65864 | + | 2.65815i | 0.183391 | + | 0.133241i | ||||
\(399\) | 1.74710 | + | 0.642424i | 0.0874644 | + | 0.0321614i | ||||
\(400\) | 20.5146 | − | 22.7838i | 1.02573 | − | 1.13919i | ||||
\(401\) | −3.61088 | + | 8.11017i | −0.180319 | + | 0.405002i | −0.980978 | − | 0.194117i | \(-0.937816\pi\) |
0.800660 | + | 0.599119i | \(0.204483\pi\) | |||||||
\(402\) | −12.8639 | + | 26.1556i | −0.641593 | + | 1.30453i | ||||
\(403\) | 3.18218 | − | 4.71590i | 0.158516 | − | 0.234916i | ||||
\(404\) | 1.25661 | − | 3.86746i | 0.0625188 | − | 0.192413i | ||||
\(405\) | −7.89630 | − | 28.9747i | −0.392370 | − | 1.43977i | ||||
\(406\) | 13.2196 | − | 7.63231i | 0.656075 | − | 0.378785i | ||||
\(407\) | 0.721146 | + | 8.66315i | 0.0357459 | + | 0.429417i | ||||
\(408\) | 6.81979 | − | 3.59735i | 0.337630 | − | 0.178095i | ||||
\(409\) | 3.49751 | + | 7.85554i | 0.172941 | + | 0.388431i | 0.979132 | − | 0.203223i | \(-0.0651417\pi\) |
−0.806192 | + | 0.591654i | \(0.798475\pi\) | |||||||
\(410\) | −7.85383 | + | 7.07162i | −0.387873 | + | 0.349242i | ||||
\(411\) | −17.5082 | + | 18.0110i | −0.863616 | + | 0.888419i | ||||
\(412\) | −0.903608 | − | 8.59725i | −0.0445176 | − | 0.423556i | ||||
\(413\) | 16.8255 | + | 7.49120i | 0.827929 | + | 0.368618i | ||||
\(414\) | 34.2945 | − | 8.31073i | 1.68548 | − | 0.408450i | ||||
\(415\) | −39.7695 | − | 12.9219i | −1.95221 | − | 0.634311i | ||||
\(416\) | −15.8876 | − | 8.45135i | −0.778955 | − | 0.414361i | ||||
\(417\) | 2.99427 | + | 5.67647i | 0.146630 | + | 0.277978i | ||||
\(418\) | −3.21348 | − | 0.408322i | −0.157177 | − | 0.0199717i | ||||
\(419\) | −32.6190 | + | 18.8326i | −1.59354 | + | 0.920032i | −0.600850 | + | 0.799362i | \(0.705171\pi\) |
−0.992693 | + | 0.120671i | \(0.961496\pi\) | |||||||
\(420\) | 6.44108 | − | 8.18841i | 0.314293 | − | 0.399553i | ||||
\(421\) | −7.90660 | + | 24.3340i | −0.385344 | + | 1.18597i | 0.550887 | + | 0.834580i | \(0.314290\pi\) |
−0.936231 | + | 0.351386i | \(0.885710\pi\) | |||||||
\(422\) | 3.57978 | − | 16.8415i | 0.174261 | − | 0.819832i | ||||
\(423\) | −7.46106 | + | 13.8117i | −0.362769 | + | 0.671547i | ||||
\(424\) | 9.22162 | + | 12.6925i | 0.447842 | + | 0.616401i | ||||
\(425\) | 14.8491 | + | 3.15628i | 0.720289 | + | 0.153102i | ||||
\(426\) | −15.8151 | − | 18.9744i | −0.766244 | − | 0.919314i | ||||
\(427\) | −0.623187 | + | 5.92923i | −0.0301581 | + | 0.286935i | ||||
\(428\) | −2.98448 | −0.144260 | ||||||||
\(429\) | 20.7058 | + | 0.520851i | 0.999684 | + | 0.0251469i | ||||
\(430\) | −42.8832 | −2.06801 | ||||||||
\(431\) | 0.0413854 | − | 0.393756i | 0.00199347 | − | 0.0189666i | −0.993480 | − | 0.114007i | \(-0.963631\pi\) |
0.995473 | + | 0.0950404i | \(0.0302980\pi\) | |||||||
\(432\) | 2.45892 | + | 25.8527i | 0.118305 | + | 1.24384i | ||||
\(433\) | −21.0455 | − | 4.47336i | −1.01138 | − | 0.214976i | −0.327721 | − | 0.944775i | \(-0.606281\pi\) |
−0.683662 | + | 0.729798i | \(0.739614\pi\) | |||||||
\(434\) | −3.01391 | − | 4.14829i | −0.144672 | − | 0.199124i | ||||
\(435\) | −22.5569 | + | 15.1068i | −1.08152 | + | 0.724316i | ||||
\(436\) | −3.19276 | + | 15.0208i | −0.152905 | + | 0.719364i | ||||
\(437\) | 1.20208 | − | 3.69963i | 0.0575034 | − | 0.176977i | ||||
\(438\) | −36.5059 | − | 28.7159i | −1.74432 | − | 1.37210i | ||||
\(439\) | 18.0118 | − | 10.3991i | 0.859656 | − | 0.496323i | −0.00424080 | − | 0.999991i | \(-0.501350\pi\) |
0.863897 | + | 0.503668i | \(0.168017\pi\) | |||||||
\(440\) | 8.48934 | − | 18.0069i | 0.404714 | − | 0.858445i | ||||
\(441\) | 5.80037 | − | 8.47825i | 0.276208 | − | 0.403726i | ||||
\(442\) | −0.532323 | − | 15.3245i | −0.0253200 | − | 0.728910i | ||||
\(443\) | 15.3101 | + | 4.97456i | 0.727405 | + | 0.236348i | 0.649231 | − | 0.760591i | \(-0.275091\pi\) |
0.0781744 | + | 0.996940i | \(0.475091\pi\) | |||||||
\(444\) | −1.06078 | + | 4.19559i | −0.0503426 | + | 0.199114i | ||||
\(445\) | 44.6455 | + | 19.8774i | 2.11640 | + | 0.942281i | ||||
\(446\) | −5.11070 | − | 48.6251i | −0.241999 | − | 2.30246i | ||||
\(447\) | −24.8479 | − | 24.1542i | −1.17527 | − | 1.14246i | ||||
\(448\) | 1.99329 | − | 1.79477i | 0.0941742 | − | 0.0847948i | ||||
\(449\) | −11.8479 | − | 26.6108i | −0.559138 | − | 1.25584i | −0.943104 | − | 0.332497i | \(-0.892109\pi\) |
0.383967 | − | 0.923347i | \(-0.374558\pi\) | |||||||
\(450\) | −17.8575 | + | 26.1019i | −0.841812 | + | 1.23045i | ||||
\(451\) | −3.17024 | + | 5.22614i | −0.149281 | + | 0.246089i | ||||
\(452\) | 0.0580278 | − | 0.0335024i | 0.00272940 | − | 0.00157582i | ||||
\(453\) | −29.5153 | + | 11.8119i | −1.38675 | + | 0.554972i | ||||
\(454\) | 3.45420 | − | 10.6309i | 0.162114 | − | 0.498935i | ||||
\(455\) | 9.96945 | + | 20.4499i | 0.467375 | + | 0.958708i | ||||
\(456\) | 1.58898 | + | 0.781494i | 0.0744108 | + | 0.0365968i | ||||
\(457\) | −7.22452 | + | 16.2265i | −0.337949 | + | 0.759045i | 0.662006 | + | 0.749499i | \(0.269705\pi\) |
−0.999954 | + | 0.00954633i | \(0.996961\pi\) | |||||||
\(458\) | 22.4483 | − | 24.9314i | 1.04894 | − | 1.16497i | ||||
\(459\) | −10.4774 | + | 7.45504i | −0.489043 | + | 0.347972i | ||||
\(460\) | −17.6134 | − | 12.7969i | −0.821230 | − | 0.596658i | ||||
\(461\) | 17.0550 | − | 29.5401i | 0.794329 | − | 1.37582i | −0.128935 | − | 0.991653i | \(-0.541156\pi\) |
0.923264 | − | 0.384166i | \(-0.125511\pi\) | |||||||
\(462\) | 6.82071 | − | 17.3772i | 0.317328 | − | 0.808462i | ||||
\(463\) | 10.8089 | 0.502334 | 0.251167 | − | 0.967944i | \(-0.419186\pi\) | ||||
0.251167 | + | 0.967944i | \(0.419186\pi\) | |||||||
\(464\) | 21.4466 | − | 9.54864i | 0.995633 | − | 0.443284i | ||||
\(465\) | 5.83877 | + | 7.00516i | 0.270767 | + | 0.324857i | ||||
\(466\) | −12.9613 | + | 14.3950i | −0.600421 | + | 0.666835i | ||||
\(467\) | −13.2518 | − | 18.2395i | −0.613218 | − | 0.844022i | 0.383619 | − | 0.923491i | \(-0.374677\pi\) |
−0.996837 | + | 0.0794692i | \(0.974677\pi\) | |||||||
\(468\) | 9.66505 | + | 3.59217i | 0.446767 | + | 0.166048i | ||||
\(469\) | −17.6112 | + | 5.72224i | −0.813212 | + | 0.264228i | ||||
\(470\) | 29.3504 | − | 6.23862i | 1.35383 | − | 0.287766i | ||||
\(471\) | −6.99965 | − | 17.4906i | −0.322527 | − | 0.805924i | ||||
\(472\) | 15.1731 | + | 8.76017i | 0.698396 | + | 0.403219i | ||||
\(473\) | −23.7493 | + | 7.15158i | −1.09200 | + | 0.328830i | ||||
\(474\) | 25.3558 | + | 0.969167i | 1.16463 | + | 0.0445153i | ||||
\(475\) | 1.41805 | + | 3.18500i | 0.0650647 | + | 0.146138i | ||||
\(476\) | −4.24256 | − | 1.37849i | −0.194457 | − | 0.0631830i | ||||
\(477\) | −18.0511 | − | 18.9409i | −0.826503 | − | 0.867243i | ||||
\(478\) | −12.5723 | − | 5.59757i | −0.575046 | − | 0.256027i | ||||
\(479\) | −12.3786 | − | 5.51133i | −0.565595 | − | 0.251819i | 0.103960 | − | 0.994581i | \(-0.466849\pi\) |
−0.669555 | + | 0.742762i | \(0.733515\pi\) | |||||||
\(480\) | 20.1066 | − | 20.6840i | 0.917736 | − | 0.944093i | ||||
\(481\) | −7.23832 | − | 6.07594i | −0.330039 | − | 0.277039i | ||||
\(482\) | −13.3515 | + | 18.3768i | −0.608145 | + | 0.837040i | ||||
\(483\) | 18.9721 | + | 11.9423i | 0.863260 | + | 0.543391i | ||||
\(484\) | −1.54682 | + | 10.3711i | −0.0703101 | + | 0.471412i | ||||
\(485\) | −6.45873 | − | 3.72895i | −0.293276 | − | 0.169323i | ||||
\(486\) | −6.05137 | − | 26.0964i | −0.274496 | − | 1.18376i | ||||
\(487\) | 24.4183 | + | 27.1193i | 1.10650 | + | 1.22889i | 0.971246 | + | 0.238080i | \(0.0765180\pi\) |
0.135253 | + | 0.990811i | \(0.456815\pi\) | |||||||
\(488\) | −1.17914 | + | 5.54743i | −0.0533773 | + | 0.251121i | ||||
\(489\) | −6.62038 | + | 13.4609i | −0.299384 | + | 0.608725i | ||||
\(490\) | −19.5278 | + | 2.05246i | −0.882178 | + | 0.0927207i | ||||
\(491\) | 23.7552 | − | 26.3828i | 1.07206 | − | 1.19064i | 0.0912139 | − | 0.995831i | \(-0.470925\pi\) |
0.980842 | − | 0.194807i | \(-0.0624080\pi\) | |||||||
\(492\) | −2.33746 | + | 1.94827i | −0.105381 | + | 0.0878346i | ||||
\(493\) | 9.40439 | + | 6.83269i | 0.423552 | + | 0.307729i | ||||
\(494\) | 2.77539 | − | 2.16755i | 0.124871 | − | 0.0975227i | ||||
\(495\) | −10.0497 | + | 31.6435i | −0.451699 | + | 1.42227i | ||||
\(496\) | −3.94296 | − | 6.82941i | −0.177044 | − | 0.306650i | ||||
\(497\) | 1.64032 | − | 15.6066i | 0.0735784 | − | 0.700052i | ||||
\(498\) | −35.0093 | − | 12.8732i | −1.56880 | − | 0.576863i | ||||
\(499\) | −0.503015 | − | 1.54812i | −0.0225180 | − | 0.0693034i | 0.939166 | − | 0.343464i | \(-0.111600\pi\) |
−0.961684 | + | 0.274160i | \(0.911600\pi\) | |||||||
\(500\) | 3.58856 | − | 0.377172i | 0.160485 | − | 0.0168677i | ||||
\(501\) | 16.0803 | + | 24.0105i | 0.718416 | + | 1.07271i | ||||
\(502\) | −41.6718 | + | 13.5400i | −1.85990 | + | 0.604320i | ||||
\(503\) | −17.3119 | − | 19.2268i | −0.771897 | − | 0.857279i | 0.221120 | − | 0.975247i | \(-0.429029\pi\) |
−0.993017 | + | 0.117968i | \(0.962362\pi\) | |||||||
\(504\) | −6.61088 | + | 7.77384i | −0.294472 | + | 0.346274i | ||||
\(505\) | −12.3275 | + | 7.11728i | −0.548566 | + | 0.316715i | ||||
\(506\) | −36.8321 | − | 12.8562i | −1.63739 | − | 0.571529i | ||||
\(507\) | −16.2543 | + | 15.5819i | −0.721881 | + | 0.692017i | ||||
\(508\) | 2.13123 | − | 2.93338i | 0.0945578 | − | 0.130148i | ||||
\(509\) | 4.12588 | + | 19.4107i | 0.182876 | + | 0.860365i | 0.969912 | + | 0.243457i | \(0.0782816\pi\) |
−0.787035 | + | 0.616908i | \(0.788385\pi\) | |||||||
\(510\) | 23.8294 | + | 6.02488i | 1.05519 | + | 0.266786i | ||||
\(511\) | −3.08436 | − | 29.3457i | −0.136444 | − | 1.29818i | ||||
\(512\) | −5.63399 | + | 4.09334i | −0.248990 | + | 0.180902i | ||||
\(513\) | −2.79947 | − | 0.940321i | −0.123600 | − | 0.0415162i | ||||
\(514\) | 16.6468 | − | 14.9888i | 0.734257 | − | 0.661128i | ||||
\(515\) | −17.7864 | + | 24.4809i | −0.783764 | + | 1.07876i | ||||
\(516\) | −12.3383 | − | 0.471603i | −0.543163 | − | 0.0207612i | ||||
\(517\) | 15.2143 | − | 8.34977i | 0.669123 | − | 0.367222i | ||||
\(518\) | −7.37646 | + | 4.25880i | −0.324103 | + | 0.187121i | ||||
\(519\) | −16.6788 | − | 2.40016i | −0.732116 | − | 0.105355i | ||||
\(520\) | 7.39826 | + | 20.3382i | 0.324435 | + | 0.891888i | ||||
\(521\) | −15.5773 | + | 5.06138i | −0.682455 | + | 0.221743i | −0.629670 | − | 0.776863i | \(-0.716810\pi\) |
−0.0527852 | + | 0.998606i | \(0.516810\pi\) | |||||||
\(522\) | −20.6213 | + | 12.6973i | −0.902571 | + | 0.555746i | ||||
\(523\) | 8.07278 | − | 18.1318i | 0.352998 | − | 0.792846i | −0.646553 | − | 0.762869i | \(-0.723790\pi\) |
0.999551 | − | 0.0299770i | \(-0.00954341\pi\) | |||||||
\(524\) | 0.603182 | + | 0.128210i | 0.0263501 | + | 0.00560090i | ||||
\(525\) | −19.7980 | + | 3.42365i | −0.864056 | + | 0.149420i | ||||
\(526\) | 18.1034 | − | 8.06015i | 0.789345 | − | 0.351439i | ||||
\(527\) | 1.95240 | − | 3.38165i | 0.0850477 | − | 0.147307i | ||||
\(528\) | 13.2260 | − | 25.4824i | 0.575588 | − | 1.10898i | ||||
\(529\) | 11.9239 | − | 20.6528i | 0.518430 | − | 0.897947i | ||||
\(530\) | −5.22775 | + | 49.7387i | −0.227079 | + | 2.16051i | ||||
\(531\) | −27.0190 | − | 11.1242i | −1.17252 | − | 0.482750i | ||||
\(532\) | −0.316582 | − | 0.974338i | −0.0137256 | − | 0.0422429i | ||||
\(533\) | −1.60639 | − | 6.44793i | −0.0695805 | − | 0.279291i | ||||
\(534\) | 39.1186 | + | 19.2394i | 1.69283 | + | 0.832569i | ||||
\(535\) | 7.76366 | + | 6.99043i | 0.335652 | + | 0.302223i | ||||
\(536\) | −17.2303 | + | 3.66241i | −0.744234 | + | 0.158192i | ||||
\(537\) | 24.9319 | + | 19.6117i | 1.07589 | + | 0.846307i | ||||
\(538\) | 2.60813i | 0.112444i | ||||||||
\(539\) | −10.4725 | + | 4.39332i | −0.451083 | + | 0.189234i | ||||
\(540\) | −9.84679 | + | 13.2748i | −0.423738 | + | 0.571255i | ||||
\(541\) | 17.5686 | − | 24.1811i | 0.755332 | − | 1.03963i | −0.242256 | − | 0.970212i | \(-0.577887\pi\) |
0.997588 | − | 0.0694128i | \(-0.0221125\pi\) | |||||||
\(542\) | 20.2962 | − | 18.2748i | 0.871796 | − | 0.784969i | ||||
\(543\) | −10.5566 | + | 41.7531i | −0.453027 | + | 1.79180i | ||||
\(544\) | −11.2837 | − | 5.02381i | −0.483783 | − | 0.215394i | ||||
\(545\) | 43.4881 | − | 31.5959i | 1.86282 | − | 1.35342i | ||||
\(546\) | 8.18978 | + | 18.5682i | 0.350490 | + | 0.794647i | ||||
\(547\) | −1.48969 | − | 0.484030i | −0.0636946 | − | 0.0206956i | 0.276996 | − | 0.960871i | \(-0.410661\pi\) |
−0.340691 | + | 0.940175i | \(0.610661\pi\) | |||||||
\(548\) | 13.7485 | + | 1.44502i | 0.587305 | + | 0.0617283i | ||||
\(549\) | 0.721995 | − | 9.43079i | 0.0308140 | − | 0.402496i | ||||
\(550\) | 32.2416 | − | 13.5257i | 1.37479 | − | 0.576736i | ||||
\(551\) | 2.66965i | 0.113731i | ||||||||
\(552\) | 16.7613 | + | 13.1846i | 0.713407 | + | 0.561173i | ||||
\(553\) | 10.7865 | + | 11.9797i | 0.458690 | + | 0.509427i | ||||
\(554\) | −25.3930 | + | 8.25068i | −1.07884 | + | 0.350538i | ||||
\(555\) | 12.5866 | − | 8.42954i | 0.534273 | − | 0.357814i | ||||
\(556\) | 1.43663 | − | 3.22673i | 0.0609269 | − | 0.136844i | ||||
\(557\) | 21.4875 | − | 23.8643i | 0.910454 | − | 1.01116i | −0.0894304 | − | 0.995993i | \(-0.528505\pi\) |
0.999885 | − | 0.0151691i | \(-0.00482866\pi\) | |||||||
\(558\) | 4.96587 | + | 6.44316i | 0.210222 | + | 0.272761i | ||||
\(559\) | 12.6629 | − | 23.8050i | 0.535585 | − | 1.00684i | ||||
\(560\) | 31.5356 | 1.33262 | ||||||||
\(561\) | 14.2019 | − | 0.637343i | 0.599603 | − | 0.0269086i | ||||
\(562\) | 16.0737 | + | 27.8405i | 0.678028 | + | 1.17438i | ||||
\(563\) | 11.7648 | − | 5.23802i | 0.495826 | − | 0.220756i | −0.143560 | − | 0.989642i | \(-0.545855\pi\) |
0.639387 | + | 0.768885i | \(0.279188\pi\) | |||||||
\(564\) | 8.51326 | − | 1.47219i | 0.358473 | − | 0.0619904i | ||||
\(565\) | −0.229422 | − | 0.0487651i | −0.00965185 | − | 0.00205156i | ||||
\(566\) | −47.0770 | + | 4.94799i | −1.97879 | + | 0.207979i | ||||
\(567\) | 9.20820 | − | 14.3126i | 0.386708 | − | 0.601073i | ||||
\(568\) | 3.10368 | − | 14.6017i | 0.130228 | − | 0.612672i | ||||
\(569\) | −23.8700 | + | 5.07373i | −1.00068 | + | 0.212702i | −0.678995 | − | 0.734143i | \(-0.737584\pi\) |
−0.321690 | + | 0.946845i | \(0.604251\pi\) | |||||||
\(570\) | 2.09732 | + | 5.24075i | 0.0878472 | + | 0.219511i | ||||
\(571\) | − | 37.0539i | − | 1.55066i | −0.631557 | − | 0.775330i | \(-0.717584\pi\) | ||
0.631557 | − | 0.775330i | \(-0.282416\pi\) | |||||||
\(572\) | −6.82013 | − | 9.13393i | −0.285164 | − | 0.381909i | ||||
\(573\) | −6.33054 | − | 12.0013i | −0.264462 | − | 0.501363i | ||||
\(574\) | −5.95631 | − | 0.626033i | −0.248611 | − | 0.0261301i | ||||
\(575\) | 8.72962 | + | 41.0696i | 0.364050 | + | 1.71272i | ||||
\(576\) | −3.08044 | + | 2.93573i | −0.128352 | + | 0.122322i | ||||
\(577\) | 23.1447 | − | 16.8156i | 0.963524 | − | 0.700042i | 0.00955786 | − | 0.999954i | \(-0.496958\pi\) |
0.953967 | + | 0.299913i | \(0.0969576\pi\) | |||||||
\(578\) | 1.95364 | + | 18.5877i | 0.0812609 | + | 0.773146i | ||||
\(579\) | −12.5043 | − | 44.1566i | −0.519660 | − | 1.83509i | ||||
\(580\) | 14.2101 | + | 4.61713i | 0.590040 | + | 0.191716i | ||||
\(581\) | −9.63855 | − | 21.6485i | −0.399874 | − | 0.898133i | ||||
\(582\) | −5.63010 | − | 3.54395i | −0.233375 | − | 0.146901i | ||||
\(583\) | 5.39967 | + | 28.4179i | 0.223631 | + | 1.17695i | ||||
\(584\) | − | 28.0695i | − | 1.16152i | ||||||
\(585\) | −16.7283 | − | 31.9826i | −0.691632 | − | 1.32232i | ||||
\(586\) | −7.98823 | + | 24.5853i | −0.329991 | + | 1.01561i | ||||
\(587\) | 18.5397 | + | 16.6933i | 0.765217 | + | 0.689004i | 0.956241 | − | 0.292581i | \(-0.0945141\pi\) |
−0.191024 | + | 0.981585i | \(0.561181\pi\) | |||||||
\(588\) | −5.64110 | + | 0.375776i | −0.232635 | + | 0.0154967i | ||||
\(589\) | 0.891855 | − | 0.0937377i | 0.0367482 | − | 0.00386240i | ||||
\(590\) | 17.2590 | + | 53.1178i | 0.710543 | + | 2.18683i | ||||
\(591\) | 0.570290 | + | 0.209701i | 0.0234586 | + | 0.00862594i | ||||
\(592\) | −11.9671 | + | 5.32810i | −0.491845 | + | 0.218984i | ||||
\(593\) | 18.1435 | 0.745063 | 0.372531 | − | 0.928020i | \(-0.378490\pi\) | ||||
0.372531 | + | 0.928020i | \(0.378490\pi\) | |||||||
\(594\) | −10.0362 | + | 27.8638i | −0.411788 | + | 1.14327i | ||||
\(595\) | 7.80758 | + | 13.5231i | 0.320079 | + | 0.554394i | ||||
\(596\) | −1.99354 | + | 18.9673i | −0.0816587 | + | 0.776931i | ||||
\(597\) | −0.776678 | − | 4.49131i | −0.0317873 | − | 0.183817i | ||||
\(598\) | 38.1211 | − | 18.5842i | 1.55889 | − | 0.759966i | ||||
\(599\) | −13.4348 | − | 18.4915i | −0.548933 | − | 0.755541i | 0.440934 | − | 0.897539i | \(-0.354647\pi\) |
−0.989867 | + | 0.141998i | \(0.954647\pi\) | |||||||
\(600\) | −19.0705 | + | 1.27036i | −0.778551 | + | 0.0518623i | ||||
\(601\) | 15.0450 | + | 13.5466i | 0.613698 | + | 0.552576i | 0.916276 | − | 0.400549i | \(-0.131180\pi\) |
−0.302578 | + | 0.953125i | \(0.597847\pi\) | |||||||
\(602\) | −16.2612 | − | 18.0599i | −0.662757 | − | 0.736066i | ||||
\(603\) | 27.6716 | − | 9.86547i | 1.12688 | − | 0.401753i | ||||
\(604\) | 15.1525 | + | 8.74830i | 0.616547 | + | 0.355963i | ||||
\(605\) | 28.3156 | − | 23.3557i | 1.15119 | − | 0.949544i | ||||
\(606\) | −11.2309 | + | 5.92416i | −0.456225 | + | 0.240653i | ||||
\(607\) | −10.5859 | − | 23.7763i | −0.429668 | − | 0.965050i | −0.990550 | − | 0.137154i | \(-0.956204\pi\) |
0.560882 | − | 0.827896i | \(-0.310462\pi\) | |||||||
\(608\) | −0.589768 | − | 2.77464i | −0.0239182 | − | 0.112526i | ||||
\(609\) | −14.9156 | − | 3.77116i | −0.604411 | − | 0.152815i | ||||
\(610\) | −14.6264 | + | 10.6267i | −0.592205 | + | 0.430262i | ||||
\(611\) | −5.20372 | + | 18.1349i | −0.210520 | + | 0.733661i | ||||
\(612\) | 6.78992 | + | 1.99553i | 0.274466 | + | 0.0806646i | ||||
\(613\) | 4.97552 | + | 23.4080i | 0.200959 | + | 0.945439i | 0.956814 | + | 0.290700i | \(0.0938882\pi\) |
−0.755855 | + | 0.654739i | \(0.772778\pi\) | |||||||
\(614\) | −17.7347 | − | 1.86399i | −0.715712 | − | 0.0752244i | ||||
\(615\) | 10.6439 | + | 0.406839i | 0.429204 | + | 0.0164053i | ||||
\(616\) | 10.8026 | − | 3.25296i | 0.435249 | − | 0.131065i | ||||
\(617\) | −14.2131 | − | 8.20593i | −0.572197 | − | 0.330358i | 0.185829 | − | 0.982582i | \(-0.440503\pi\) |
−0.758026 | + | 0.652224i | \(0.773836\pi\) | |||||||
\(618\) | −16.6885 | + | 21.2157i | −0.671309 | + | 0.853421i | ||||
\(619\) | −6.82406 | + | 21.0023i | −0.274282 | + | 0.844154i | 0.715126 | + | 0.698995i | \(0.246369\pi\) |
−0.989408 | + | 0.145158i | \(0.953631\pi\) | |||||||
\(620\) | 1.04350 | − | 4.90929i | 0.0419080 | − | 0.197162i | ||||
\(621\) | −30.6230 | − | 18.0865i | −1.22886 | − | 0.725785i | ||||
\(622\) | −11.7743 | + | 26.4456i | −0.472108 | + | 1.06037i | ||||
\(623\) | 8.55823 | + | 26.3395i | 0.342878 | + | 1.05527i | ||||
\(624\) | 9.54144 | + | 29.7171i | 0.381963 | + | 1.18964i | ||||
\(625\) | 14.5956 | + | 10.6043i | 0.583825 | + | 0.424174i | ||||
\(626\) | −13.1023 | − | 22.6938i | −0.523672 | − | 0.907027i | ||||
\(627\) | 2.03552 | + | 2.55263i | 0.0812909 | + | 0.101942i | ||||
\(628\) | −5.18418 | + | 8.97927i | −0.206871 | + | 0.358312i | ||||
\(629\) | −5.24762 | − | 3.81262i | −0.209236 | − | 0.152019i | ||||
\(630\) | −32.2432 | + | 4.31484i | −1.28460 | + | 0.171907i | ||||
\(631\) | 10.8891 | + | 2.31455i | 0.433488 | + | 0.0921407i | 0.419487 | − | 0.907761i | \(-0.362210\pi\) |
0.0140007 | + | 0.999902i | \(0.495543\pi\) | |||||||
\(632\) | 9.01351 | + | 12.4060i | 0.358538 | + | 0.493486i | ||||
\(633\) | −14.4186 | + | 9.65646i | −0.573089 | + | 0.383810i | ||||
\(634\) | −30.9483 | − | 27.8660i | −1.22911 | − | 1.10670i | ||||
\(635\) | −12.4148 | + | 2.63885i | −0.492667 | + | 0.104720i | ||||
\(636\) | −2.05112 | + | 14.2533i | −0.0813321 | + | 0.565179i | ||||
\(637\) | 4.62701 | − | 11.4462i | 0.183329 | − | 0.453515i | ||||
\(638\) | 26.7666 | + | 0.580077i | 1.05970 | + | 0.0229655i | ||||
\(639\) | −1.90040 | + | 24.8232i | −0.0751786 | + | 0.981992i | ||||
\(640\) | 41.2155 | + | 4.33192i | 1.62919 | + | 0.171234i | ||||
\(641\) | −23.0583 | + | 20.7617i | −0.910746 | + | 0.820039i | −0.984164 | − | 0.177262i | \(-0.943276\pi\) |
0.0734176 | + | 0.997301i | \(0.476609\pi\) | |||||||
\(642\) | 6.68217 | + | 6.49561i | 0.263724 | + | 0.256361i | ||||
\(643\) | −1.20798 | − | 11.4932i | −0.0476382 | − | 0.453248i | −0.992176 | − | 0.124845i | \(-0.960157\pi\) |
0.944538 | − | 0.328402i | \(-0.106510\pi\) | |||||||
\(644\) | −1.28966 | − | 12.2703i | −0.0508197 | − | 0.483517i | ||||
\(645\) | 30.9916 | + | 30.1264i | 1.22029 | + | 1.18622i | ||||
\(646\) | 1.79621 | − | 1.61731i | 0.0706708 | − | 0.0636323i | ||||
\(647\) | −15.8559 | − | 1.66652i | −0.623360 | − | 0.0655177i | −0.212417 | − | 0.977179i | \(-0.568134\pi\) |
−0.410942 | + | 0.911661i | \(0.634800\pi\) | |||||||
\(648\) | 10.1347 | − | 12.6250i | 0.398128 | − | 0.495955i | ||||
\(649\) | 18.4167 | + | 26.5392i | 0.722919 | + | 1.04175i | ||||
\(650\) | −14.2451 | + | 35.2393i | −0.558740 | + | 1.38220i | ||||
\(651\) | −0.736116 | + | 5.11529i | −0.0288507 | + | 0.200484i | ||||
\(652\) | 8.07549 | − | 1.71650i | 0.316260 | − | 0.0672232i | ||||
\(653\) | 17.4318 | + | 15.6957i | 0.682160 | + | 0.614220i | 0.935571 | − | 0.353139i | \(-0.114886\pi\) |
−0.253411 | + | 0.967359i | \(0.581552\pi\) | |||||||
\(654\) | 39.8407 | − | 26.6822i | 1.55789 | − | 1.04335i | ||||
\(655\) | −1.26878 | − | 1.74633i | −0.0495755 | − | 0.0682349i | ||||
\(656\) | −9.00967 | − | 1.91506i | −0.351769 | − | 0.0747707i | ||||
\(657\) | 6.20921 | + | 46.3991i | 0.242244 | + | 1.81020i | ||||
\(658\) | 13.7569 | + | 9.99500i | 0.536301 | + | 0.389646i | ||||
\(659\) | −6.60777 | + | 11.4450i | −0.257402 | + | 0.445833i | −0.965545 | − | 0.260236i | \(-0.916200\pi\) |
0.708143 | + | 0.706069i | \(0.249533\pi\) | |||||||
\(660\) | 17.1076 | − | 6.41995i | 0.665912 | − | 0.249896i | ||||
\(661\) | 1.20983 | + | 2.09549i | 0.0470570 | + | 0.0815051i | 0.888595 | − | 0.458694i | \(-0.151682\pi\) |
−0.841538 | + | 0.540199i | \(0.818349\pi\) | |||||||
\(662\) | 44.1509 | + | 32.0775i | 1.71597 | + | 1.24673i | ||||
\(663\) | −10.3811 | + | 11.4489i | −0.403167 | + | 0.444639i | ||||
\(664\) | −6.96602 | − | 21.4392i | −0.270334 | − | 0.832003i | ||||
\(665\) | −1.45862 | + | 3.27611i | −0.0565628 | + | 0.127042i | ||||
\(666\) | 11.5066 | − | 7.08505i | 0.445873 | − | 0.274540i | ||||
\(667\) | −6.68454 | + | 31.4483i | −0.258826 | + | 1.21768i | ||||
\(668\) | 4.91466 | − | 15.1258i | 0.190154 | − | 0.585234i | ||||
\(669\) | −30.4667 | + | 38.7316i | −1.17791 | + | 1.49745i | ||||
\(670\) | −48.6306 | − | 28.0769i | −1.87877 | − | 1.08471i | ||||
\(671\) | −6.32811 | + | 8.32444i | −0.244294 | + | 0.321362i | ||||
\(672\) | 16.3353 | + | 0.624379i | 0.630147 | + | 0.0240859i | ||||
\(673\) | −0.926884 | − | 0.0974195i | −0.0357288 | − | 0.00375524i | 0.0866472 | − | 0.996239i | \(-0.472385\pi\) |
−0.122376 | + | 0.992484i | \(0.539051\pi\) | |||||||
\(674\) | 3.39685 | + | 15.9809i | 0.130842 | + | 0.615562i | ||||
\(675\) | 31.2427 | − | 6.31848i | 1.20253 | − | 0.243198i | ||||
\(676\) | 12.2711 | + | 1.72918i | 0.471964 | + | 0.0665070i | ||||
\(677\) | −11.0330 | + | 8.01596i | −0.424033 | + | 0.308078i | −0.779259 | − | 0.626702i | \(-0.784404\pi\) |
0.355225 | + | 0.934781i | \(0.384404\pi\) | |||||||
\(678\) | −0.202840 | − | 0.0512846i | −0.00779001 | − | 0.00196957i | ||||
\(679\) | −0.878719 | − | 4.13405i | −0.0337221 | − | 0.158650i | ||||
\(680\) | 6.04176 | + | 13.5700i | 0.231691 | + | 0.520387i | ||||
\(681\) | −9.96481 | + | 5.25631i | −0.381852 | + | 0.201422i | ||||
\(682\) | −0.746049 | − | 8.96231i | −0.0285677 | − | 0.343185i | ||||
\(683\) | 18.5093 | + | 10.6864i | 0.708241 | + | 0.408903i | 0.810409 | − | 0.585864i | \(-0.199245\pi\) |
−0.102169 | + | 0.994767i | \(0.532578\pi\) | |||||||
\(684\) | 0.545805 | + | 1.53093i | 0.0208694 | + | 0.0585364i | ||||
\(685\) | −32.3799 | − | 35.9615i | −1.23717 | − | 1.37402i | ||||
\(686\) | −25.1741 | − | 22.6668i | −0.961151 | − | 0.865424i | ||||
\(687\) | −33.7382 | + | 2.24743i | −1.28719 | + | 0.0857449i | ||||
\(688\) | −21.9686 | − | 30.2372i | −0.837545 | − | 1.15278i | ||||
\(689\) | −26.0669 | − | 17.5893i | −0.993068 | − | 0.670099i | ||||
\(690\) | 11.5840 | + | 66.9870i | 0.440995 | + | 2.55015i | ||||
\(691\) | 2.83789 | − | 27.0007i | 0.107958 | − | 1.02716i | −0.797673 | − | 0.603090i | \(-0.793936\pi\) |
0.905632 | − | 0.424065i | \(-0.139397\pi\) | |||||||
\(692\) | 4.63695 | + | 8.03143i | 0.176270 | + | 0.305309i | ||||
\(693\) | −17.1372 | + | 7.76679i | −0.650988 | + | 0.295036i | ||||
\(694\) | −42.2456 | −1.60362 | ||||||||
\(695\) | −11.2950 | + | 5.02888i | −0.428446 | + | 0.190756i | ||||
\(696\) | −13.7361 | − | 5.05088i | −0.520664 | − | 0.191453i | ||||
\(697\) | −1.40939 | − | 4.33766i | −0.0533845 | − | 0.164301i | ||||
\(698\) | 57.2854 | − | 6.02094i | 2.16829 | − | 0.227896i | ||||
\(699\) | 19.4799 | − | 1.29763i | 0.736797 | − | 0.0490809i | ||||
\(700\) | 8.21753 | + | 7.39910i | 0.310593 | + | 0.279660i | ||||
\(701\) | −6.79395 | + | 20.9096i | −0.256604 | + | 0.789746i | 0.736905 | + | 0.675996i | \(0.236286\pi\) |
−0.993509 | + | 0.113750i | \(0.963714\pi\) | |||||||
\(702\) | −13.8216 | − | 29.0784i | −0.521661 | − | 1.09750i | ||||
\(703\) | − | 1.48966i | − | 0.0561835i | ||||||
\(704\) | 4.62172 | − | 0.878172i | 0.174188 | − | 0.0330974i | ||||
\(705\) | −25.5942 | − | 16.1106i | −0.963934 | − | 0.606762i | ||||
\(706\) | 11.0360 | + | 24.7873i | 0.415346 | + | 0.932883i | ||||
\(707\) | −7.67194 | − | 2.49276i | −0.288533 | − | 0.0937500i | ||||
\(708\) | 4.38159 | + | 15.4728i | 0.164670 | + | 0.581503i | ||||
\(709\) | −2.13793 | − | 20.3410i | −0.0802915 | − | 0.763922i | −0.958394 | − | 0.285449i | \(-0.907857\pi\) |
0.878102 | − | 0.478473i | \(-0.158810\pi\) | |||||||
\(710\) | 38.4988 | − | 27.9710i | 1.44483 | − | 1.04973i | ||||
\(711\) | −17.6437 | − | 18.5134i | −0.661691 | − | 0.694307i | ||||
\(712\) | 5.47753 | + | 25.7698i | 0.205279 | + | 0.965762i | ||||
\(713\) | 10.7407 | + | 1.12889i | 0.402241 | + | 0.0422773i | ||||
\(714\) | 6.49874 | + | 12.3202i | 0.243209 | + | 0.461071i | ||||
\(715\) | −3.65256 | + | 39.7351i | −0.136598 | + | 1.48601i | ||||
\(716\) | − | 17.4580i | − | 0.652436i | ||||||
\(717\) | 5.15360 | + | 12.8777i | 0.192465 | + | 0.480926i | ||||
\(718\) | −37.6403 | + | 8.00069i | −1.40472 | + | 0.298583i | ||||
\(719\) | −0.674204 | + | 3.17188i | −0.0251436 | + | 0.118291i | −0.988930 | − | 0.148386i | \(-0.952592\pi\) |
0.963786 | + | 0.266677i | \(0.0859256\pi\) | |||||||
\(720\) | −50.0104 | + | 1.41625i | −1.86378 | + | 0.0527805i | ||||
\(721\) | −17.0545 | + | 1.79250i | −0.635143 | + | 0.0667563i | ||||
\(722\) | −31.3951 | − | 6.67323i | −1.16840 | − | 0.248352i | ||||
\(723\) | 22.5592 | − | 3.90114i | 0.838986 | − | 0.145085i | ||||
\(724\) | 21.6532 | − | 9.64063i | 0.804735 | − | 0.358291i | ||||
\(725\) | −14.4075 | − | 24.9546i | −0.535082 | − | 0.926790i | ||||
\(726\) | 26.0356 | − | 19.8540i | 0.966271 | − | 0.736849i | ||||
\(727\) | −7.87386 | −0.292025 | −0.146013 | − | 0.989283i | \(-0.546644\pi\) | ||||
−0.146013 | + | 0.989283i | \(0.546644\pi\) | |||||||
\(728\) | −5.75985 | + | 10.8279i | −0.213474 | + | 0.401309i | ||||
\(729\) | −13.9600 | + | 23.1110i | −0.517035 | + | 0.855964i | ||||
\(730\) | 59.8739 | − | 66.4967i | 2.21603 | − | 2.46115i | ||||
\(731\) | 7.52734 | − | 16.9067i | 0.278409 | − | 0.625317i | ||||
\(732\) | −4.32515 | + | 2.89665i | −0.159862 | + | 0.107063i | ||||
\(733\) | −25.7204 | + | 8.35708i | −0.950006 | + | 0.308676i | −0.742718 | − | 0.669604i | \(-0.766464\pi\) |
−0.207288 | + | 0.978280i | \(0.566464\pi\) | |||||||
\(734\) | −21.5859 | − | 23.9736i | −0.796751 | − | 0.884882i | ||||
\(735\) | 15.5546 | + | 12.2354i | 0.573741 | + | 0.451310i | ||||
\(736\) | − | 34.1617i | − | 1.25922i | ||||||
\(737\) | −31.6147 | − | 7.43933i | −1.16454 | − | 0.274031i | ||||
\(738\) | 9.47386 | + | 0.725293i | 0.348738 | + | 0.0266984i | ||||
\(739\) | −9.05104 | − | 0.951303i | −0.332948 | − | 0.0349942i | −0.0634204 | − | 0.997987i | \(-0.520201\pi\) |
−0.269528 | + | 0.962993i | \(0.586868\pi\) | |||||||
\(740\) | −7.92916 | − | 2.57634i | −0.291482 | − | 0.0947081i | ||||
\(741\) | −3.52852 | − | 0.383286i | −0.129623 | − | 0.0140804i | ||||
\(742\) | −22.9294 | + | 16.6592i | −0.841765 | + | 0.611578i | ||||
\(743\) | −29.4738 | − | 13.1226i | −1.08129 | − | 0.481421i | −0.212784 | − | 0.977099i | \(-0.568253\pi\) |
−0.868506 | + | 0.495678i | \(0.834920\pi\) | |||||||
\(744\) | −1.20505 | + | 4.76617i | −0.0441792 | + | 0.174736i | ||||
\(745\) | 49.6123 | − | 44.6712i | 1.81766 | − | 1.63662i | ||||
\(746\) | −11.4257 | + | 15.7262i | −0.418326 | + | 0.575777i | ||||
\(747\) | 16.2574 | + | 33.8982i | 0.594828 | + | 1.24027i | ||||
\(748\) | −5.10808 | − | 5.92644i | −0.186770 | − | 0.216692i | ||||
\(749\) | 5.92035i | 0.216325i | ||||||||
\(750\) | −8.85559 | − | 6.96589i | −0.323360 | − | 0.254358i | ||||
\(751\) | 38.4266 | − | 8.16783i | 1.40221 | − | 0.298048i | 0.556124 | − | 0.831100i | \(-0.312288\pi\) |
0.846083 | + | 0.533051i | \(0.178955\pi\) | |||||||
\(752\) | 19.4348 | + | 17.4991i | 0.708713 | + | 0.638128i | ||||
\(753\) | 39.6283 | + | 19.4900i | 1.44413 | + | 0.710256i | ||||
\(754\) | −20.9402 | + | 20.2143i | −0.762597 | + | 0.736161i | ||||
\(755\) | −18.9261 | − | 58.2485i | −0.688791 | − | 2.11988i | ||||
\(756\) | −9.32443 | + | 0.886870i | −0.339126 | + | 0.0322551i | ||||
\(757\) | −0.426924 | + | 4.06191i | −0.0155168 | + | 0.147633i | −0.999537 | − | 0.0304238i | \(-0.990314\pi\) |
0.984020 | + | 0.178056i | \(0.0569810\pi\) | |||||||
\(758\) | −12.8248 | + | 22.2132i | −0.465818 | + | 0.806821i | ||||
\(759\) | 17.5867 | + | 35.1665i | 0.638358 | + | 1.27646i | ||||
\(760\) | −1.70570 | + | 2.95436i | −0.0618722 | + | 0.107166i | ||||
\(761\) | 33.4457 | − | 14.8910i | 1.21240 | − | 0.539797i | 0.301917 | − | 0.953334i | \(-0.402373\pi\) |
0.910487 | + | 0.413537i | \(0.135707\pi\) | |||||||
\(762\) | −11.1562 | + | 1.92922i | −0.404145 | + | 0.0698884i | ||||
\(763\) | 29.7969 | + | 6.33353i | 1.07872 | + | 0.229289i | ||||
\(764\) | −3.03736 | + | 6.82203i | −0.109888 | + | 0.246812i | ||||
\(765\) | −12.9889 | − | 21.0949i | −0.469614 | − | 0.762687i | ||||
\(766\) | −25.8986 | + | 8.41496i | −0.935753 | + | 0.304045i | ||||
\(767\) | −34.5827 | − | 6.10442i | −1.24871 | − | 0.220418i | ||||
\(768\) | 31.7274 | + | 4.56573i | 1.14486 | + | 0.164752i | ||||
\(769\) | −27.1946 | + | 15.7008i | −0.980662 | + | 0.566186i | −0.902470 | − | 0.430753i | \(-0.858248\pi\) |
−0.0781922 | + | 0.996938i | \(0.524915\pi\) | |||||||
\(770\) | 32.5301 | + | 15.3363i | 1.17230 | + | 0.552682i | ||||
\(771\) | −22.5605 | − | 0.862325i | −0.812498 | − | 0.0310559i | ||||
\(772\) | −14.8461 | + | 20.4339i | −0.534323 | + | 0.735432i | ||||
\(773\) | 22.5207 | − | 20.2777i | 0.810013 | − | 0.729339i | −0.156021 | − | 0.987754i | \(-0.549867\pi\) |
0.966034 | + | 0.258415i | \(0.0832001\pi\) | |||||||
\(774\) | 26.5987 | + | 27.9098i | 0.956071 | + | 1.00320i | ||||
\(775\) | −7.83073 | + | 5.68935i | −0.281288 | + | 0.204368i | ||||
\(776\) | −0.420252 | − | 3.99843i | −0.0150862 | − | 0.143535i | ||||
\(777\) | 8.32286 | + | 2.10430i | 0.298581 | + | 0.0754912i | ||||
\(778\) | −4.77515 | − | 22.4653i | −0.171198 | − | 0.805421i | ||||
\(779\) | 0.615673 | − | 0.847402i | 0.0220588 | − | 0.0303613i | ||||
\(780\) | −8.14267 | + | 18.1187i | −0.291554 | + | 0.648755i | ||||
\(781\) | 16.6565 | − | 21.9112i | 0.596017 | − | 0.784043i | ||||
\(782\) | 25.2087 | − | 14.5543i | 0.901462 | − | 0.520459i | ||||
\(783\) | 23.8231 | + | 5.31061i | 0.851369 | + | 0.189786i | ||||
\(784\) | −11.4511 | − | 12.7177i | −0.408968 | − | 0.454205i | ||||
\(785\) | 34.5177 | − | 11.2155i | 1.23199 | − | 0.400298i | ||||
\(786\) | −1.07146 | − | 1.59987i | −0.0382179 | − | 0.0570653i | ||||
\(787\) | −28.3365 | + | 2.97829i | −1.01009 | + | 0.106164i | −0.595091 | − | 0.803659i | \(-0.702884\pi\) |
−0.414997 | + | 0.909823i | \(0.636217\pi\) | |||||||
\(788\) | −0.103339 | − | 0.318044i | −0.00368130 | − | 0.0113299i | ||||
\(789\) | −18.7457 | − | 6.89297i | −0.667365 | − | 0.245396i | ||||
\(790\) | −5.10977 | + | 48.6162i | −0.181798 | + | 1.72969i | ||||
\(791\) | −0.0664592 | − | 0.115111i | −0.00236302 | − | 0.00409287i | ||||
\(792\) | −16.9851 | + | 5.64381i | −0.603539 | + | 0.200544i | ||||
\(793\) | −1.57999 | − | 11.2572i | −0.0561071 | − | 0.399756i | ||||
\(794\) | −16.5414 | − | 12.0180i | −0.587032 | − | 0.426504i | ||||
\(795\) | 38.7206 | − | 32.2735i | 1.37328 | − | 1.14462i | ||||
\(796\) | −1.67853 | + | 1.86420i | −0.0594941 | + | 0.0660749i | ||||
\(797\) | 17.5093 | − | 1.84030i | 0.620210 | − | 0.0651867i | 0.210788 | − | 0.977532i | \(-0.432397\pi\) |
0.409422 | + | 0.912345i | \(0.365730\pi\) | |||||||
\(798\) | −1.41180 | + | 2.87055i | −0.0499771 | + | 0.101616i | ||||
\(799\) | −2.69234 | + | 12.6665i | −0.0952481 | + | 0.448107i | ||||
\(800\) | 20.4870 | + | 22.7531i | 0.724323 | + | 0.804443i | ||||
\(801\) | −14.7549 | − | 41.3859i | −0.521338 | − | 1.46230i | ||||
\(802\) | −13.2124 | − | 7.62816i | −0.466545 | − | 0.269360i | ||||
\(803\) | 22.0695 | − | 46.8119i | 0.778814 | − | 1.65196i | ||||
\(804\) | −13.6832 | − | 8.61307i | −0.482568 | − | 0.303759i | ||||
\(805\) | −25.3854 | + | 34.9400i | −0.894719 | + | 1.23147i | ||||
\(806\) | 7.48827 | + | 6.28575i | 0.263763 | + | 0.221406i | ||||
\(807\) | 1.83227 | − | 1.88489i | 0.0644989 | − | 0.0663513i | ||||
\(808\) | −7.01024 | − | 3.12116i | −0.246619 | − | 0.109802i | ||||
\(809\) | 5.82620 | + | 2.59399i | 0.204838 | + | 0.0911999i | 0.506592 | − | 0.862186i | \(-0.330905\pi\) |
−0.301753 | + | 0.953386i | \(0.597572\pi\) | |||||||
\(810\) | 50.9388 | − | 8.29068i | 1.78981 | − | 0.291305i | ||||
\(811\) | 0.580182 | + | 0.188513i | 0.0203729 | + | 0.00661957i | 0.319186 | − | 0.947692i | \(-0.396591\pi\) |
−0.298813 | + | 0.954312i | \(0.596591\pi\) | |||||||
\(812\) | 3.44395 | + | 7.73525i | 0.120859 | + | 0.271454i | ||||
\(813\) | −27.5064 | − | 1.05137i | −0.964693 | − | 0.0368732i | ||||
\(814\) | −14.9356 | − | 0.323681i | −0.523494 | − | 0.0113450i | ||||
\(815\) | −25.0276 | − | 14.4497i | −0.876680 | − | 0.506151i | ||||
\(816\) | 7.95939 | + | 19.8888i | 0.278634 | + | 0.696246i | ||||
\(817\) | 4.15734 | − | 0.883669i | 0.145447 | − | 0.0309157i | ||||
\(818\) | −14.0541 | + | 4.56645i | −0.491389 | + | 0.159662i | ||||
\(819\) | 7.12585 | − | 19.1727i | 0.248997 | − | 0.669949i | ||||
\(820\) | −3.44576 | − | 4.74268i | −0.120331 | − | 0.165621i | ||||
\(821\) | 5.23178 | − | 5.81048i | 0.182590 | − | 0.202787i | −0.644900 | − | 0.764267i | \(-0.723101\pi\) |
0.827490 | + | 0.561480i | \(0.189768\pi\) | |||||||
\(822\) | −27.6374 | − | 33.1585i | −0.963966 | − | 1.15653i | ||||
\(823\) | −35.0678 | + | 15.6132i | −1.22239 | + | 0.544241i | −0.913492 | − | 0.406856i | \(-0.866625\pi\) |
−0.308893 | + | 0.951097i | \(0.599958\pi\) | |||||||
\(824\) | −16.3128 | −0.568284 | ||||||||
\(825\) | −32.8030 | − | 12.8755i | −1.14205 | − | 0.448266i | ||||
\(826\) | −15.8255 | + | 27.4106i | −0.550641 | + | 0.953738i | ||||
\(827\) | 1.55483 | + | 1.12965i | 0.0540668 | + | 0.0392818i | 0.614490 | − | 0.788924i | \(-0.289362\pi\) |
−0.560424 | + | 0.828206i | \(0.689362\pi\) | |||||||
\(828\) | 2.59625 | + | 19.4008i | 0.0902258 | + | 0.674225i | ||||
\(829\) | 15.2980 | − | 16.9902i | 0.531323 | − | 0.590094i | −0.416403 | − | 0.909180i | \(-0.636709\pi\) |
0.947726 | + | 0.319086i | \(0.103376\pi\) | |||||||
\(830\) | 29.2286 | − | 65.6484i | 1.01454 | − | 2.27869i | ||||
\(831\) | 24.1477 | + | 11.8764i | 0.837676 | + | 0.411987i | ||||
\(832\) | −2.86063 | + | 4.23937i | −0.0991743 | + | 0.146974i | ||||
\(833\) | 2.61857 | − | 8.05912i | 0.0907280 | − | 0.279232i | ||||
\(834\) | −10.2395 | + | 4.09779i | −0.354564 | + | 0.141895i | ||||
\(835\) | −48.2133 | + | 27.8360i | −1.66849 | + | 0.963304i | ||||
\(836\) | 0.411579 | − | 1.74908i | 0.0142348 | − | 0.0604931i | ||||
\(837\) | 0.937637 | − | 8.14509i | 0.0324095 | − | 0.281535i | ||||
\(838\) | −26.3271 | − | 59.1317i | −0.909456 | − | 2.04267i | ||||
\(839\) | 40.1586 | − | 36.1589i | 1.38643 | − | 1.24835i | 0.452083 | − | 0.891976i | \(-0.350681\pi\) |
0.934345 | − | 0.356369i | \(-0.115986\pi\) | |||||||
\(840\) | −14.0968 | − | 13.7032i | −0.486386 | − | 0.472807i | ||||
\(841\) | 0.724949 | + | 6.89742i | 0.0249982 | + | 0.237842i | ||||
\(842\) | −40.1687 | − | 17.8843i | −1.38430 | − | 0.616332i | ||||
\(843\) | 7.94210 | − | 31.4124i | 0.273540 | − | 1.08190i | ||||
\(844\) | 9.08325 | + | 2.95133i | 0.312658 | + | 0.101589i | ||||
\(845\) | −27.8711 | − | 33.2403i | −0.958795 | − | 1.14350i | ||||
\(846\) | −22.2652 | − | 15.2326i | −0.765492 | − | 0.523709i | ||||
\(847\) | 20.5733 | + | 3.06846i | 0.706906 | + | 0.105433i | ||||
\(848\) | −37.7492 | + | 21.7945i | −1.29631 | + | 0.748426i | ||||
\(849\) | 37.4985 | + | 29.4967i | 1.28695 | + | 1.01232i | ||||
\(850\) | −8.06175 | + | 24.8115i | −0.276516 | + | 0.851028i | ||||
\(851\) | 3.72995 | − | 17.5480i | 0.127861 | − | 0.601538i | ||||
\(852\) | 11.3844 | − | 7.62440i | 0.390024 | − | 0.261208i | ||||
\(853\) | 4.69929 | + | 6.46802i | 0.160901 | + | 0.221461i | 0.881854 | − | 0.471523i | \(-0.156296\pi\) |
−0.720953 | + | 0.692984i | \(0.756296\pi\) | |||||||
\(854\) | −10.0216 | − | 2.13016i | −0.342933 | − | 0.0728927i | ||||
\(855\) | 2.16601 | − | 5.26089i | 0.0740759 | − | 0.179919i | ||||
\(856\) | −0.588690 | + | 5.60101i | −0.0201210 | + | 0.191439i | ||||
\(857\) | −21.1854 | −0.723678 | −0.361839 | − | 0.932241i | \(-0.617851\pi\) | ||||
−0.361839 | + | 0.932241i | \(0.617851\pi\) | |||||||
\(858\) | −4.60961 | + | 35.2944i | −0.157369 | + | 1.20493i | ||||
\(859\) | −19.1795 | −0.654394 | −0.327197 | − | 0.944956i | \(-0.606104\pi\) | ||||
−0.327197 | + | 0.944956i | \(0.606104\pi\) | |||||||
\(860\) | 2.48645 | − | 23.6570i | 0.0847872 | − | 0.806696i | ||||
\(861\) | 3.86481 | + | 4.63687i | 0.131712 | + | 0.158024i | ||||
\(862\) | 0.665530 | + | 0.141463i | 0.0226680 | + | 0.00481824i | ||||
\(863\) | 12.7366 | + | 17.5304i | 0.433558 | + | 0.596742i | 0.968765 | − | 0.247979i | \(-0.0797664\pi\) |
−0.535207 | + | 0.844721i | \(0.679766\pi\) | |||||||
\(864\) | −25.9332 | − | 0.256554i | −0.882264 | − | 0.00872816i | ||||
\(865\) | 6.74942 | − | 31.7535i | 0.229487 | − | 1.07965i | ||||
\(866\) | 11.4258 | − | 35.1651i | 0.388266 | − | 1.19496i | ||||
\(867\) | 11.6464 | − | 14.8058i | 0.395531 | − | 0.502830i | ||||
\(868\) | 2.46320 | − | 1.42213i | 0.0836064 | − | 0.0482702i | ||||
\(869\) | 5.27781 | + | 27.7765i | 0.179037 | + | 0.942254i | ||||
\(870\) | −21.7669 | − | 41.2653i | −0.737968 | − | 1.39903i | ||||
\(871\) | 29.9459 | − | 18.7046i | 1.01468 | − | 0.633783i | ||||
\(872\) | 27.5599 | + | 8.95475i | 0.933295 | + | 0.303246i | ||||
\(873\) | 1.57917 | + | 6.51647i | 0.0534466 | + | 0.220549i | ||||
\(874\) | 6.10706 | + | 2.71904i | 0.206574 | + | 0.0919729i | ||||
\(875\) | −0.748203 | − | 7.11868i | −0.0252939 | − | 0.240655i | ||||
\(876\) | 17.9581 | − | 18.4739i | 0.606749 | − | 0.624175i | ||||
\(877\) | −22.4386 | + | 20.2038i | −0.757697 | + | 0.682233i | −0.954500 | − | 0.298210i | \(-0.903611\pi\) |
0.196804 | + | 0.980443i | \(0.436944\pi\) | |||||||
\(878\) | 14.5375 | + | 32.6518i | 0.490617 | + | 1.10194i | ||||
\(879\) | 23.0447 | − | 12.1558i | 0.777280 | − | 0.410005i | ||||
\(880\) | 47.2901 | + | 28.6867i | 1.59415 | + | 0.967030i | ||||
\(881\) | 8.86743 | − | 5.11961i | 0.298751 | − | 0.172484i | −0.343131 | − | 0.939288i | \(-0.611487\pi\) |
0.641882 | + | 0.766804i | \(0.278154\pi\) | |||||||
\(882\) | 13.4481 | + | 11.4363i | 0.452823 | + | 0.385081i | ||||
\(883\) | 13.3215 | − | 40.9994i | 0.448305 | − | 1.37974i | −0.430514 | − | 0.902584i | \(-0.641668\pi\) |
0.878818 | − | 0.477156i | \(-0.158332\pi\) | |||||||
\(884\) | 8.48477 | + | 0.594880i | 0.285374 | + | 0.0200080i | ||||
\(885\) | 24.8434 | − | 50.5130i | 0.835100 | − | 1.69798i | ||||
\(886\) | −11.2522 | + | 25.2728i | −0.378023 | + | 0.849055i | ||||
\(887\) | 6.01597 | − | 6.68141i | 0.201997 | − | 0.224340i | −0.633632 | − | 0.773634i | \(-0.718437\pi\) |
0.835629 | + | 0.549294i | \(0.185103\pi\) | |||||||
\(888\) | 7.66468 | + | 2.81837i | 0.257210 | + | 0.0945783i | ||||
\(889\) | −5.81900 | − | 4.22775i | −0.195163 | − | 0.141794i | ||||
\(890\) | −41.9921 | + | 72.7324i | −1.40758 | + | 2.43800i | ||||
\(891\) | 26.8280 | − | 13.0865i | 0.898773 | − | 0.438414i | ||||
\(892\) | 27.1209 | 0.908074 | ||||||||
\(893\) | −2.71683 | + | 1.20961i | −0.0909154 | + | 0.0404781i | ||||
\(894\) | 45.7452 | − | 38.1284i | 1.52995 | − | 1.27521i | ||||
\(895\) | −40.8912 | + | 45.4143i | −1.36684 | + | 1.51803i | ||||
\(896\) | 13.8045 | + | 19.0002i | 0.461175 | + | 0.634753i | ||||
\(897\) | −40.6059 | − | 13.3501i | −1.35579 | − | 0.445747i | ||||
\(898\) | 47.6086 | − | 15.4690i | 1.58872 | − | 0.516206i | ||||
\(899\) | −7.24978 | + | 1.54099i | −0.241794 | + | 0.0513949i | ||||
\(900\) | −13.3640 | − | 11.3647i | −0.445466 | − | 0.378824i | ||||
\(901\) | −18.6919 | − | 10.7917i | −0.622716 | − | 0.359525i | ||||
\(902\) | −8.36246 | − | 6.35701i | −0.278440 | − | 0.211665i | ||||
\(903\) | −0.935527 | + | 24.4757i | −0.0311324 | + | 0.814500i | ||||
\(904\) | −0.0514283 | − | 0.115510i | −0.00171048 | − | 0.00384180i | ||||
\(905\) | −78.9085 | − | 25.6389i | −2.62301 | − | 0.852266i | ||||
\(906\) | −14.8857 | − | 52.5661i | −0.494544 | − | 1.74639i | ||||
\(907\) | 9.36308 | + | 4.16871i | 0.310896 | + | 0.138420i | 0.556253 | − | 0.831013i | \(-0.312239\pi\) |
−0.245357 | + | 0.969433i | \(0.578905\pi\) | |||||||
\(908\) | 5.66439 | + | 2.52195i | 0.187979 | + | 0.0836938i | ||||
\(909\) | 12.2784 | + | 3.60858i | 0.407249 | + | 0.119689i | ||||
\(910\) | −36.7416 | + | 13.3652i | −1.21797 | + | 0.443052i | ||||
\(911\) | 1.47359 | − | 2.02822i | 0.0488221 | − | 0.0671978i | −0.783908 | − | 0.620877i | \(-0.786777\pi\) |
0.832730 | + | 0.553679i | \(0.186777\pi\) | |||||||
\(912\) | −2.62084 | + | 4.16361i | −0.0867848 | + | 0.137871i | ||||
\(913\) | 5.23909 | − | 41.2315i | 0.173389 | − | 1.36456i | ||||
\(914\) | −26.4348 | − | 15.2622i | −0.874386 | − | 0.504827i | ||||
\(915\) | 18.0359 | + | 2.59546i | 0.596250 | + | 0.0858034i | ||||
\(916\) | 12.4521 | + | 13.8294i | 0.411428 | + | 0.456937i | ||||
\(917\) | 0.254333 | − | 1.19654i | 0.00839882 | − | 0.0395133i | ||||
\(918\) | −10.8593 | − | 19.2460i | −0.358409 | − | 0.635212i | ||||
\(919\) | 9.73538 | − | 1.02323i | 0.321141 | − | 0.0337532i | 0.0574132 | − | 0.998351i | \(-0.481715\pi\) |
0.263727 | + | 0.964597i | \(0.415048\pi\) | |||||||
\(920\) | −27.4904 | + | 30.5312i | −0.906331 | + | 1.00658i | ||||
\(921\) | 11.5073 | + | 13.8061i | 0.379179 | + | 0.454926i | ||||
\(922\) | 47.4230 | + | 34.4548i | 1.56179 | + | 1.13471i | ||||
\(923\) | 4.15877 | + | 29.6307i | 0.136888 | + | 0.975306i | ||||
\(924\) | 9.19086 | + | 4.77028i | 0.302357 | + | 0.156931i | ||||
\(925\) | 8.03935 | + | 13.9246i | 0.264332 | + | 0.457837i | ||||
\(926\) | −1.94164 | + | 18.4734i | −0.0638061 | + | 0.607075i | ||||
\(927\) | 26.9652 | − | 3.60853i | 0.885654 | − | 0.118520i | ||||
\(928\) | 7.24478 | + | 22.2971i | 0.237822 | + | 0.731939i | ||||
\(929\) | −19.3719 | + | 2.03607i | −0.635571 | + | 0.0668012i | −0.416834 | − | 0.908983i | \(-0.636860\pi\) |
−0.218737 | + | 0.975784i | \(0.570194\pi\) | |||||||
\(930\) | −13.0213 | + | 8.72063i | −0.426985 | + | 0.285961i | ||||
\(931\) | 1.85084 | − | 0.601376i | 0.0606590 | − | 0.0197093i | ||||
\(932\) | −7.18963 | − | 7.98489i | −0.235504 | − | 0.261554i | ||||
\(933\) | 27.0879 | − | 10.8405i | 0.886818 | − | 0.354901i | ||||
\(934\) | 33.5533 | − | 19.3720i | 1.09790 | − | 0.633872i | ||||
\(935\) | −0.593398 | + | 27.3812i | −0.0194062 | + | 0.895462i | ||||
\(936\) | 8.64792 | − | 17.4300i | 0.282666 | − | 0.569717i | ||||
\(937\) | −9.05884 | + | 12.4684i | −0.295939 | + | 0.407326i | −0.930932 | − | 0.365193i | \(-0.881003\pi\) |
0.634993 | + | 0.772518i | \(0.281003\pi\) | |||||||
\(938\) | −6.61627 | − | 31.1271i | −0.216029 | − | 1.01634i | ||||
\(939\) | −6.47390 | + | 25.6054i | −0.211268 | + | 0.835601i | ||||
\(940\) | 1.73981 | + | 16.5532i | 0.0567463 | + | 0.539905i | ||||
\(941\) | 14.7501 | − | 10.7166i | 0.480839 | − | 0.349350i | −0.320811 | − | 0.947143i | \(-0.603956\pi\) |
0.801650 | + | 0.597793i | \(0.203956\pi\) | |||||||
\(942\) | 31.1503 | − | 8.82116i | 1.01493 | − | 0.287409i | ||||
\(943\) | 9.37438 | − | 8.44073i | 0.305272 | − | 0.274868i | ||||
\(944\) | −28.6121 | + | 39.3811i | −0.931243 | + | 1.28175i | ||||
\(945\) | 26.3334 | + | 19.5332i | 0.856625 | + | 0.635416i | ||||
\(946\) | −7.95654 | − | 41.8744i | −0.258689 | − | 1.36145i | ||||
\(947\) | −8.80630 | + | 5.08432i | −0.286166 | + | 0.165218i | −0.636212 | − | 0.771515i | \(-0.719500\pi\) |
0.350045 | + | 0.936733i | \(0.386166\pi\) | |||||||
\(948\) | −2.00483 | + | 13.9316i | −0.0651138 | + | 0.452478i | ||||
\(949\) | 19.2330 | + | 52.8724i | 0.624329 | + | 1.71631i | ||||
\(950\) | −5.69817 | + | 1.85145i | −0.184873 | + | 0.0600689i | ||||
\(951\) | 2.78982 | + | 41.8805i | 0.0904662 | + | 1.35807i | ||||
\(952\) | −3.42388 | + | 7.69016i | −0.110969 | + | 0.249239i | ||||
\(953\) | 14.0663 | + | 2.98988i | 0.455652 | + | 0.0968518i | 0.430019 | − | 0.902820i | \(-0.358507\pi\) |
0.0256324 | + | 0.999671i | \(0.491840\pi\) | |||||||
\(954\) | 35.6142 | − | 27.4485i | 1.15305 | − | 0.888679i | ||||
\(955\) | 23.8802 | − | 10.6322i | 0.772746 | − | 0.344049i | ||||
\(956\) | 3.81693 | − | 6.61112i | 0.123448 | − | 0.213819i | ||||
\(957\) | −18.9366 | − | 19.2233i | −0.612134 | − | 0.621401i | ||||
\(958\) | 11.6430 | − | 20.1662i | 0.376167 | − | 0.651540i | ||||
\(959\) | 2.86651 | − | 27.2731i | 0.0925646 | − | 0.880693i | ||||
\(960\) | −5.24878 | − | 6.29731i | −0.169404 | − | 0.203245i | ||||
\(961\) | −8.81017 | − | 27.1149i | −0.284199 | − | 0.874675i | ||||
\(962\) | 11.6846 | − | 11.2795i | 0.376725 | − | 0.363666i | ||||
\(963\) | −0.265880 | − | 9.38873i | −0.00856788 | − | 0.302548i | ||||
\(964\) | −9.36361 | − | 8.43104i | −0.301582 | − | 0.271545i | ||||
\(965\) | 86.4815 | − | 18.3822i | 2.78394 | − | 0.591744i | ||||
\(966\) | −23.8184 | + | 30.2798i | −0.766344 | + | 0.974236i | ||||
\(967\) | 46.6385i | 1.49979i | 0.661555 | + | 0.749897i | \(0.269897\pi\) | ||||
−0.661555 | + | 0.749897i | \(0.730103\pi\) | |||||||
\(968\) | 19.1584 | + | 4.94864i | 0.615775 | + | 0.159055i | ||||
\(969\) | −2.43431 | − | 0.0930459i | −0.0782013 | − | 0.00298907i | ||||
\(970\) | 7.53330 | − | 10.3687i | 0.241880 | − | 0.332919i | ||||
\(971\) | 13.7422 | − | 12.3735i | 0.441007 | − | 0.397085i | −0.418493 | − | 0.908220i | \(-0.637442\pi\) |
0.859500 | + | 0.511135i | \(0.170775\pi\) | |||||||
\(972\) | 14.7472 | − | 1.82519i | 0.473018 | − | 0.0585430i | ||||
\(973\) | −6.40092 | − | 2.84988i | −0.205204 | − | 0.0913628i | ||||
\(974\) | −50.7355 | + | 36.8615i | −1.62567 | + | 1.18112i | ||||
\(975\) | 35.0513 | − | 15.4599i | 1.12254 | − | 0.495112i | ||||
\(976\) | −14.9859 | − | 4.86921i | −0.479686 | − | 0.155860i | ||||
\(977\) | 10.1387 | + | 1.06562i | 0.324366 | + | 0.0340922i | 0.265312 | − | 0.964163i | \(-0.414525\pi\) |
0.0590538 | + | 0.998255i | \(0.481192\pi\) | |||||||
\(978\) | −21.8167 | − | 13.7328i | −0.697622 | − | 0.439128i | ||||
\(979\) | −11.1263 | + | 47.2833i | −0.355599 | + | 1.51118i | ||||
\(980\) | − | 10.8918i | − | 0.347924i | ||||||
\(981\) | −47.5376 | − | 8.70580i | −1.51776 | − | 0.277955i | ||||
\(982\) | 40.8233 | + | 45.3389i | 1.30272 | + | 1.44682i | ||||
\(983\) | −13.7375 | + | 4.46359i | −0.438159 | + | 0.142366i | −0.519786 | − | 0.854297i | \(-0.673988\pi\) |
0.0816272 | + | 0.996663i | \(0.473988\pi\) | |||||||
\(984\) | 3.19527 | + | 4.77105i | 0.101862 | + | 0.152095i | ||||
\(985\) | −0.476124 | + | 1.06939i | −0.0151706 | + | 0.0340736i | ||||
\(986\) | −13.3670 | + | 14.8456i | −0.425692 | + | 0.472779i | ||||
\(987\) | −2.92041 | − | 16.8879i | −0.0929576 | − | 0.537548i | ||||
\(988\) | 1.03483 | + | 1.65675i | 0.0329223 | + | 0.0527083i | ||||
\(989\) | 51.1856 | 1.62761 | ||||||||
\(990\) | −52.2763 | − | 22.8600i | −1.66145 | − | 0.726538i | ||||
\(991\) | −7.41023 | − | 12.8349i | −0.235394 | − | 0.407714i | 0.723993 | − | 0.689807i | \(-0.242305\pi\) |
−0.959387 | + | 0.282093i | \(0.908971\pi\) | |||||||
\(992\) | 7.19445 | − | 3.20318i | 0.228424 | − | 0.101701i | ||||
\(993\) | −9.37263 | − | 54.1994i | −0.297432 | − | 1.71996i | ||||
\(994\) | 26.3784 | + | 5.60691i | 0.836673 | + | 0.177840i | ||||
\(995\) | 8.73291 | − | 0.917865i | 0.276852 | − | 0.0290983i | ||||
\(996\) | 9.13157 | − | 18.5668i | 0.289345 | − | 0.588313i | ||||
\(997\) | 3.20787 | − | 15.0918i | 0.101594 | − | 0.477963i | −0.897707 | − | 0.440593i | \(-0.854768\pi\) |
0.999301 | − | 0.0373709i | \(-0.0118983\pi\) | |||||||
\(998\) | 2.73623 | − | 0.581605i | 0.0866140 | − | 0.0184104i | ||||
\(999\) | −13.2932 | − | 2.96330i | −0.420579 | − | 0.0937547i |
(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 | 429.2.bq.a.29.12 | ✓ | 416 | |
3.2 | odd | 2 | inner | 429.2.bq.a.29.41 | yes | 416 | |
11.8 | odd | 10 | inner | 429.2.bq.a.107.12 | yes | 416 | |
13.9 | even | 3 | inner | 429.2.bq.a.425.41 | yes | 416 | |
33.8 | even | 10 | inner | 429.2.bq.a.107.41 | yes | 416 | |
39.35 | odd | 6 | inner | 429.2.bq.a.425.12 | yes | 416 | |
143.74 | odd | 30 | inner | 429.2.bq.a.74.41 | yes | 416 | |
429.74 | even | 30 | inner | 429.2.bq.a.74.12 | yes | 416 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bq.a.29.12 | ✓ | 416 | 1.1 | even | 1 | trivial | |
429.2.bq.a.29.41 | yes | 416 | 3.2 | odd | 2 | inner | |
429.2.bq.a.74.12 | yes | 416 | 429.74 | even | 30 | inner | |
429.2.bq.a.74.41 | yes | 416 | 143.74 | odd | 30 | inner | |
429.2.bq.a.107.12 | yes | 416 | 11.8 | odd | 10 | inner | |
429.2.bq.a.107.41 | yes | 416 | 33.8 | even | 10 | inner | |
429.2.bq.a.425.12 | yes | 416 | 39.35 | odd | 6 | inner | |
429.2.bq.a.425.41 | yes | 416 | 13.9 | even | 3 | inner |