Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(2,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.be (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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 2.7 | ||
Character | \(\chi\) | \(=\) | 231.2 |
Dual form | 231.2.be.a.116.7 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06933 | − | 1.18762i | −0.756133 | − | 0.839771i | 0.235089 | − | 0.971974i | \(-0.424462\pi\) |
−0.991223 | + | 0.132203i | \(0.957795\pi\) | |||||||
\(3\) | 1.50618 | + | 0.855229i | 0.869595 | + | 0.493766i | ||||
\(4\) | −0.0578990 | + | 0.550872i | −0.0289495 | + | 0.275436i | ||||
\(5\) | 0.711086 | − | 3.34540i | 0.318007 | − | 1.49611i | −0.471225 | − | 0.882013i | \(-0.656188\pi\) |
0.789233 | − | 0.614094i | \(-0.210478\pi\) | |||||||
\(6\) | −0.594929 | − | 2.70329i | −0.242879 | − | 1.10361i | ||||
\(7\) | −0.575806 | − | 2.58233i | −0.217634 | − | 0.976030i | ||||
\(8\) | −1.86963 | + | 1.35837i | −0.661015 | + | 0.480256i | ||||
\(9\) | 1.53717 | + | 2.57626i | 0.512389 | + | 0.858753i | ||||
\(10\) | −4.73343 | + | 2.73285i | −1.49684 | + | 0.864203i | ||||
\(11\) | 1.85345 | + | 2.75041i | 0.558836 | + | 0.829278i | ||||
\(12\) | −0.558328 | + | 0.780197i | −0.161175 | + | 0.225223i | ||||
\(13\) | −5.73707 | − | 1.86409i | −1.59118 | − | 0.517005i | −0.626272 | − | 0.779605i | \(-0.715420\pi\) |
−0.964905 | + | 0.262600i | \(0.915420\pi\) | |||||||
\(14\) | −2.45109 | + | 3.44521i | −0.655082 | + | 0.920772i | ||||
\(15\) | 3.93210 | − | 4.43064i | 1.01526 | − | 1.14399i | ||||
\(16\) | 4.69609 | + | 0.998184i | 1.17402 | + | 0.249546i | ||||
\(17\) | 1.94919 | − | 2.16479i | 0.472748 | − | 0.525039i | −0.458858 | − | 0.888509i | \(-0.651741\pi\) |
0.931606 | + | 0.363470i | \(0.118408\pi\) | |||||||
\(18\) | 1.41586 | − | 4.58045i | 0.333721 | − | 1.07962i | ||||
\(19\) | 3.65161 | − | 0.383800i | 0.837737 | − | 0.0880497i | 0.324063 | − | 0.946035i | \(-0.394951\pi\) |
0.513673 | + | 0.857986i | \(0.328284\pi\) | |||||||
\(20\) | 1.80172 | + | 0.585413i | 0.402876 | + | 0.130902i | ||||
\(21\) | 1.34122 | − | 4.38191i | 0.292678 | − | 0.956211i | ||||
\(22\) | 1.28447 | − | 5.14229i | 0.273850 | − | 1.09634i | ||||
\(23\) | −3.08984 | − | 1.78392i | −0.644277 | − | 0.371974i | 0.141983 | − | 0.989869i | \(-0.454652\pi\) |
−0.786260 | + | 0.617895i | \(0.787985\pi\) | |||||||
\(24\) | −3.97772 | + | 0.446986i | −0.811949 | + | 0.0912406i | ||||
\(25\) | −6.11831 | − | 2.72405i | −1.22366 | − | 0.544809i | ||||
\(26\) | 3.92102 | + | 8.80677i | 0.768976 | + | 1.72715i | ||||
\(27\) | 0.111965 | + | 5.19495i | 0.0215476 | + | 0.999768i | ||||
\(28\) | 1.45587 | − | 0.167681i | 0.275134 | − | 0.0316887i | ||||
\(29\) | 4.06259 | + | 2.95165i | 0.754405 | + | 0.548107i | 0.897189 | − | 0.441647i | \(-0.145606\pi\) |
−0.142784 | + | 0.989754i | \(0.545606\pi\) | |||||||
\(30\) | −9.46663 | + | 0.0680008i | −1.72836 | + | 0.0124152i | ||||
\(31\) | 4.43741 | − | 0.943201i | 0.796983 | − | 0.169404i | 0.208616 | − | 0.977998i | \(-0.433104\pi\) |
0.588367 | + | 0.808594i | \(0.299771\pi\) | |||||||
\(32\) | −1.52523 | − | 2.64178i | −0.269626 | − | 0.467005i | ||||
\(33\) | 0.439406 | + | 5.72773i | 0.0764907 | + | 0.997070i | ||||
\(34\) | −4.65528 | −0.798373 | ||||||||
\(35\) | −9.04838 | + | 0.0900373i | −1.52946 | + | 0.0152191i | ||||
\(36\) | −1.50819 | + | 0.697621i | −0.251365 | + | 0.116270i | ||||
\(37\) | 1.35964 | − | 0.605349i | 0.223523 | − | 0.0995187i | −0.291920 | − | 0.956443i | \(-0.594294\pi\) |
0.515443 | + | 0.856924i | \(0.327627\pi\) | |||||||
\(38\) | −4.36060 | − | 3.92630i | −0.707382 | − | 0.636930i | ||||
\(39\) | −7.04685 | − | 7.71416i | −1.12840 | − | 1.23525i | ||||
\(40\) | 3.21481 | + | 7.22058i | 0.508306 | + | 1.14167i | ||||
\(41\) | −0.499940 | + | 0.363228i | −0.0780775 | + | 0.0567266i | −0.626139 | − | 0.779711i | \(-0.715366\pi\) |
0.548062 | + | 0.836438i | \(0.315366\pi\) | |||||||
\(42\) | −6.63824 | + | 3.09288i | −1.02430 | + | 0.477241i | ||||
\(43\) | 1.60987i | 0.245502i | 0.992437 | + | 0.122751i | \(0.0391717\pi\) | ||||
−0.992437 | + | 0.122751i | \(0.960828\pi\) | |||||||
\(44\) | −1.62243 | + | 0.861768i | −0.244591 | + | 0.129916i | ||||
\(45\) | 9.71167 | − | 3.31050i | 1.44773 | − | 0.493500i | ||||
\(46\) | 1.18546 | + | 5.57716i | 0.174787 | + | 0.822307i | ||||
\(47\) | 9.45708 | − | 0.993980i | 1.37946 | − | 0.144987i | 0.614423 | − | 0.788976i | \(-0.289389\pi\) |
0.765034 | + | 0.643990i | \(0.222722\pi\) | |||||||
\(48\) | 6.21949 | + | 5.51967i | 0.897706 | + | 0.796696i | ||||
\(49\) | −6.33690 | + | 2.97385i | −0.905271 | + | 0.424835i | ||||
\(50\) | 3.30740 | + | 10.1791i | 0.467736 | + | 1.43954i | ||||
\(51\) | 4.78722 | − | 1.59357i | 0.670346 | − | 0.223145i | ||||
\(52\) | 1.35904 | − | 3.05246i | 0.188466 | − | 0.423301i | ||||
\(53\) | 1.46587 | + | 6.89639i | 0.201353 | + | 0.947293i | 0.956499 | + | 0.291736i | \(0.0942327\pi\) |
−0.755146 | + | 0.655557i | \(0.772434\pi\) | |||||||
\(54\) | 6.04987 | − | 5.68810i | 0.823283 | − | 0.774053i | ||||
\(55\) | 10.5192 | − | 4.24475i | 1.41840 | − | 0.572361i | ||||
\(56\) | 4.58431 | + | 4.04586i | 0.612604 | + | 0.540651i | ||||
\(57\) | 5.82822 | + | 2.54489i | 0.771967 | + | 0.337079i | ||||
\(58\) | −0.838847 | − | 7.98110i | −0.110146 | − | 1.04797i | ||||
\(59\) | 0.129993 | + | 0.0136628i | 0.0169237 | + | 0.00177875i | 0.112987 | − | 0.993597i | \(-0.463958\pi\) |
−0.0960628 | + | 0.995375i | \(0.530625\pi\) | |||||||
\(60\) | 2.21305 | + | 2.42262i | 0.285703 | + | 0.312758i | ||||
\(61\) | −1.56317 | + | 7.35413i | −0.200143 | + | 0.941600i | 0.757320 | + | 0.653044i | \(0.226508\pi\) |
−0.957463 | + | 0.288556i | \(0.906825\pi\) | |||||||
\(62\) | −5.86524 | − | 4.26134i | −0.744886 | − | 0.541191i | ||||
\(63\) | 5.76765 | − | 5.45291i | 0.726656 | − | 0.687002i | ||||
\(64\) | 1.46074 | − | 4.49571i | 0.182593 | − | 0.561964i | ||||
\(65\) | −10.3157 | + | 17.8672i | −1.27950 | + | 2.21616i | ||||
\(66\) | 6.33247 | − | 6.64670i | 0.779474 | − | 0.818153i | ||||
\(67\) | 0.606467 | + | 1.05043i | 0.0740917 | + | 0.128331i | 0.900691 | − | 0.434460i | \(-0.143061\pi\) |
−0.826599 | + | 0.562791i | \(0.809728\pi\) | |||||||
\(68\) | 1.07967 | + | 1.19909i | 0.130929 | + | 0.145411i | ||||
\(69\) | −3.12821 | − | 5.32944i | −0.376592 | − | 0.641589i | ||||
\(70\) | 9.78267 | + | 10.6497i | 1.16925 | + | 1.27288i | ||||
\(71\) | 1.53753 | − | 0.499575i | 0.182472 | − | 0.0592886i | −0.216356 | − | 0.976315i | \(-0.569417\pi\) |
0.398828 | + | 0.917026i | \(0.369417\pi\) | |||||||
\(72\) | −6.37345 | − | 2.72862i | −0.751118 | − | 0.321571i | ||||
\(73\) | 8.27309 | + | 0.869537i | 0.968292 | + | 0.101772i | 0.575452 | − | 0.817835i | \(-0.304826\pi\) |
0.392840 | + | 0.919607i | \(0.371493\pi\) | |||||||
\(74\) | −2.17283 | − | 0.967405i | −0.252586 | − | 0.112459i | ||||
\(75\) | −6.88561 | − | 9.33546i | −0.795081 | − | 1.07797i | ||||
\(76\) | 2.03379i | 0.233292i | ||||||||
\(77\) | 6.03524 | − | 6.36992i | 0.687779 | − | 0.725920i | ||||
\(78\) | −1.62602 | + | 16.6180i | −0.184111 | + | 1.88161i | ||||
\(79\) | −6.15855 | + | 5.54518i | −0.692891 | + | 0.623882i | −0.938416 | − | 0.345508i | \(-0.887706\pi\) |
0.245525 | + | 0.969390i | \(0.421040\pi\) | |||||||
\(80\) | 6.67864 | − | 15.0005i | 0.746695 | − | 1.67710i | ||||
\(81\) | −4.27423 | + | 7.92029i | −0.474914 | + | 0.880032i | ||||
\(82\) | 0.965978 | + | 0.205325i | 0.106674 | + | 0.0226743i | ||||
\(83\) | 2.56702 | + | 7.90049i | 0.281767 | + | 0.867191i | 0.987349 | + | 0.158562i | \(0.0506858\pi\) |
−0.705582 | + | 0.708629i | \(0.749314\pi\) | |||||||
\(84\) | 2.33622 | + | 0.992548i | 0.254902 | + | 0.108296i | ||||
\(85\) | −5.85605 | − | 8.06016i | −0.635178 | − | 0.874247i | ||||
\(86\) | 1.91190 | − | 1.72149i | 0.206166 | − | 0.185633i | ||||
\(87\) | 3.59467 | + | 7.92016i | 0.385389 | + | 0.849131i | ||||
\(88\) | −7.20133 | − | 2.62458i | −0.767665 | − | 0.279782i | ||||
\(89\) | −10.5105 | − | 6.06824i | −1.11411 | − | 0.643232i | −0.174220 | − | 0.984707i | \(-0.555740\pi\) |
−0.939891 | + | 0.341475i | \(0.889074\pi\) | |||||||
\(90\) | −14.3166 | − | 7.99371i | −1.50910 | − | 0.842611i | ||||
\(91\) | −1.51026 | + | 15.8884i | −0.158318 | + | 1.66555i | ||||
\(92\) | 1.16161 | − | 1.59882i | 0.121106 | − | 0.166689i | ||||
\(93\) | 7.49020 | + | 2.37437i | 0.776698 | + | 0.246211i | ||||
\(94\) | −11.2932 | − | 10.1685i | −1.16481 | − | 1.04880i | ||||
\(95\) | 1.31265 | − | 12.4890i | 0.134675 | − | 1.28134i | ||||
\(96\) | −0.0379520 | − | 5.28343i | −0.00387346 | − | 0.539237i | ||||
\(97\) | −3.99650 | + | 12.3000i | −0.405783 | + | 1.24887i | 0.514456 | + | 0.857517i | \(0.327994\pi\) |
−0.920239 | + | 0.391356i | \(0.872006\pi\) | |||||||
\(98\) | 10.3080 | + | 4.34576i | 1.04127 | + | 0.438988i | ||||
\(99\) | −4.23670 | + | 9.00280i | −0.425804 | + | 0.904815i | ||||
\(100\) | 1.85485 | − | 3.21269i | 0.185485 | − | 0.321269i | ||||
\(101\) | −2.40863 | + | 0.511970i | −0.239668 | + | 0.0509429i | −0.326179 | − | 0.945308i | \(-0.605761\pi\) |
0.0865117 | + | 0.996251i | \(0.472428\pi\) | |||||||
\(102\) | −7.01169 | − | 3.98132i | −0.694261 | − | 0.394210i | ||||
\(103\) | −3.43208 | + | 1.52806i | −0.338173 | + | 0.150564i | −0.568795 | − | 0.822479i | \(-0.692590\pi\) |
0.230623 | + | 0.973043i | \(0.425924\pi\) | |||||||
\(104\) | 13.2583 | − | 4.30789i | 1.30009 | − | 0.422424i | ||||
\(105\) | −13.7055 | − | 7.60282i | −1.33752 | − | 0.741959i | ||||
\(106\) | 6.62276 | − | 9.11544i | 0.643259 | − | 0.885370i | ||||
\(107\) | −1.19590 | − | 11.3782i | −0.115612 | − | 1.09997i | −0.886412 | − | 0.462897i | \(-0.846810\pi\) |
0.770800 | − | 0.637077i | \(-0.219857\pi\) | |||||||
\(108\) | −2.86823 | − | 0.239104i | −0.275996 | − | 0.0230078i | ||||
\(109\) | 5.01765 | − | 2.89694i | 0.480604 | − | 0.277477i | −0.240064 | − | 0.970757i | \(-0.577168\pi\) |
0.720668 | + | 0.693280i | \(0.243835\pi\) | |||||||
\(110\) | −16.2896 | − | 7.95367i | −1.55315 | − | 0.758352i | ||||
\(111\) | 2.56557 | + | 0.251034i | 0.243513 | + | 0.0238271i | ||||
\(112\) | −0.126389 | − | 12.7016i | −0.0119427 | − | 1.20019i | ||||
\(113\) | −0.575006 | − | 0.791428i | −0.0540920 | − | 0.0744513i | 0.781114 | − | 0.624388i | \(-0.214652\pi\) |
−0.835206 | + | 0.549937i | \(0.814652\pi\) | |||||||
\(114\) | −3.20997 | − | 9.64303i | −0.300641 | − | 0.903152i | ||||
\(115\) | −8.16508 | + | 9.06823i | −0.761397 | + | 0.845617i | ||||
\(116\) | −1.86120 | + | 2.06707i | −0.172808 | + | 0.191923i | ||||
\(117\) | −4.01647 | − | 17.6456i | −0.371323 | − | 1.63134i | ||||
\(118\) | −0.122780 | − | 0.168992i | −0.0113028 | − | 0.0155570i | ||||
\(119\) | −6.71257 | − | 3.78695i | −0.615340 | − | 0.347150i | ||||
\(120\) | −1.33316 | + | 13.6249i | −0.121700 | + | 1.24378i | ||||
\(121\) | −4.12946 | + | 10.1955i | −0.375405 | + | 0.926861i | ||||
\(122\) | 10.4054 | − | 6.00758i | 0.942064 | − | 0.543901i | ||||
\(123\) | −1.06364 | + | 0.119524i | −0.0959055 | + | 0.0107771i | ||||
\(124\) | 0.262662 | + | 2.49906i | 0.0235877 | + | 0.224422i | ||||
\(125\) | −3.41214 | + | 4.69641i | −0.305191 | + | 0.420059i | ||||
\(126\) | −12.6435 | − | 1.01878i | −1.12637 | − | 0.0907597i | ||||
\(127\) | −6.95350 | + | 2.25933i | −0.617024 | + | 0.200483i | −0.600818 | − | 0.799386i | \(-0.705159\pi\) |
−0.0162052 | + | 0.999869i | \(0.505159\pi\) | |||||||
\(128\) | −12.4747 | + | 5.55408i | −1.10262 | + | 0.490916i | ||||
\(129\) | −1.37680 | + | 2.42475i | −0.121221 | + | 0.213488i | ||||
\(130\) | 32.2503 | − | 6.85502i | 2.82854 | − | 0.601225i | ||||
\(131\) | 3.54408 | − | 6.13853i | 0.309648 | − | 0.536326i | −0.668637 | − | 0.743589i | \(-0.733122\pi\) |
0.978285 | + | 0.207263i | \(0.0664555\pi\) | |||||||
\(132\) | −3.18069 | − | 0.0895737i | −0.276844 | − | 0.00779639i | ||||
\(133\) | −3.09372 | − | 9.20868i | −0.268259 | − | 0.798494i | ||||
\(134\) | 0.598993 | − | 1.84351i | 0.0517451 | − | 0.159255i | ||||
\(135\) | 17.4588 | + | 3.31949i | 1.50261 | + | 0.285696i | ||||
\(136\) | −0.703682 | + | 6.69508i | −0.0603402 | + | 0.574099i | ||||
\(137\) | −2.49996 | − | 2.25097i | −0.213586 | − | 0.192313i | 0.555393 | − | 0.831588i | \(-0.312568\pi\) |
−0.768978 | + | 0.639275i | \(0.779235\pi\) | |||||||
\(138\) | −2.98422 | + | 9.41406i | −0.254034 | + | 0.801378i | ||||
\(139\) | 11.7171 | − | 16.1272i | 0.993830 | − | 1.36789i | 0.0647947 | − | 0.997899i | \(-0.479361\pi\) |
0.929035 | − | 0.369991i | \(-0.120639\pi\) | |||||||
\(140\) | 0.474293 | − | 4.98971i | 0.0400851 | − | 0.421708i | ||||
\(141\) | 15.0942 | + | 6.59085i | 1.27116 | + | 0.555050i | ||||
\(142\) | −2.23744 | − | 1.29179i | −0.187762 | − | 0.108404i | ||||
\(143\) | −5.50637 | − | 19.2343i | −0.460466 | − | 1.60845i | ||||
\(144\) | 4.64710 | + | 13.6327i | 0.387258 | + | 1.13606i | ||||
\(145\) | 12.7633 | − | 11.4921i | 1.05993 | − | 0.954368i | ||||
\(146\) | −7.81402 | − | 10.7551i | −0.646693 | − | 0.890097i | ||||
\(147\) | −12.0878 | − | 0.940341i | −0.996988 | − | 0.0775581i | ||||
\(148\) | 0.254748 | + | 0.784035i | 0.0209402 | + | 0.0644473i | ||||
\(149\) | 5.49407 | + | 1.16780i | 0.450092 | + | 0.0956700i | 0.427380 | − | 0.904072i | \(-0.359437\pi\) |
0.0227119 | + | 0.999742i | \(0.492770\pi\) | |||||||
\(150\) | −3.72393 | + | 18.1602i | −0.304058 | + | 1.48277i | ||||
\(151\) | −1.87308 | + | 4.20701i | −0.152429 | + | 0.342361i | −0.973579 | − | 0.228352i | \(-0.926666\pi\) |
0.821150 | + | 0.570713i | \(0.193333\pi\) | |||||||
\(152\) | −6.30583 | + | 5.67779i | −0.511470 | + | 0.460530i | ||||
\(153\) | 8.57330 | + | 1.69396i | 0.693110 | + | 0.136949i | ||||
\(154\) | −14.0187 | − | 0.355970i | −1.12966 | − | 0.0286849i | ||||
\(155\) | − | 15.5156i | − | 1.24624i | ||||||
\(156\) | 4.65752 | − | 3.43527i | 0.372900 | − | 0.275042i | ||||
\(157\) | −12.7037 | − | 5.65607i | −1.01387 | − | 0.451404i | −0.168566 | − | 0.985690i | \(-0.553914\pi\) |
−0.845303 | + | 0.534287i | \(0.820580\pi\) | |||||||
\(158\) | 13.1711 | + | 1.38434i | 1.04784 | + | 0.110132i | ||||
\(159\) | −3.69012 | + | 11.6409i | −0.292646 | + | 0.923182i | ||||
\(160\) | −9.92238 | + | 3.22398i | −0.784433 | + | 0.254878i | ||||
\(161\) | −2.82753 | + | 9.00620i | −0.222841 | + | 0.709788i | ||||
\(162\) | 13.9768 | − | 3.39330i | 1.09812 | − | 0.266602i | ||||
\(163\) | −9.09511 | − | 10.1011i | −0.712384 | − | 0.791182i | 0.272912 | − | 0.962039i | \(-0.412013\pi\) |
−0.985296 | + | 0.170857i | \(0.945346\pi\) | |||||||
\(164\) | −0.171146 | − | 0.296434i | −0.0133643 | − | 0.0231476i | ||||
\(165\) | 19.4740 | + | 2.60292i | 1.51605 | + | 0.202637i | ||||
\(166\) | 6.63774 | − | 11.4969i | 0.515188 | − | 0.892332i | ||||
\(167\) | 2.29287 | − | 7.05672i | 0.177427 | − | 0.546065i | −0.822309 | − | 0.569042i | \(-0.807314\pi\) |
0.999736 | + | 0.0229765i | \(0.00731428\pi\) | |||||||
\(168\) | 3.44466 | + | 10.0144i | 0.265762 | + | 0.772630i | ||||
\(169\) | 18.9219 | + | 13.7476i | 1.45553 | + | 1.05751i | ||||
\(170\) | −3.31030 | + | 15.5737i | −0.253889 | + | 1.19445i | ||||
\(171\) | 6.60191 | + | 8.81753i | 0.504860 | + | 0.674293i | ||||
\(172\) | −0.886831 | − | 0.0932097i | −0.0676203 | − | 0.00710718i | ||||
\(173\) | 1.54579 | + | 14.7072i | 0.117524 | + | 1.11817i | 0.881257 | + | 0.472637i | \(0.156698\pi\) |
−0.763733 | + | 0.645532i | \(0.776636\pi\) | |||||||
\(174\) | 5.56221 | − | 12.7384i | 0.421670 | − | 0.965695i | ||||
\(175\) | −3.51144 | + | 17.3680i | −0.265440 | + | 1.31290i | ||||
\(176\) | 5.95854 | + | 14.7662i | 0.449142 | + | 1.11305i | ||||
\(177\) | 0.184109 | + | 0.131753i | 0.0138385 | + | 0.00990314i | ||||
\(178\) | 4.03250 | + | 18.9714i | 0.302248 | + | 1.42197i | ||||
\(179\) | −10.2223 | + | 22.9598i | −0.764054 | + | 1.71609i | −0.0684639 | + | 0.997654i | \(0.521810\pi\) |
−0.695590 | + | 0.718439i | \(0.744857\pi\) | |||||||
\(180\) | 1.26136 | + | 5.54156i | 0.0940166 | + | 0.413044i | ||||
\(181\) | −1.19592 | − | 3.68067i | −0.0888921 | − | 0.273582i | 0.896722 | − | 0.442595i | \(-0.145942\pi\) |
−0.985614 | + | 0.169013i | \(0.945942\pi\) | |||||||
\(182\) | 20.4843 | − | 15.1964i | 1.51839 | − | 1.12643i | ||||
\(183\) | −8.64388 | + | 9.73979i | −0.638974 | + | 0.719986i | ||||
\(184\) | 8.20010 | − | 0.861865i | 0.604519 | − | 0.0635376i | ||||
\(185\) | −1.05831 | − | 4.97898i | −0.0778088 | − | 0.366062i | ||||
\(186\) | −5.18969 | − | 11.4345i | −0.380527 | − | 0.838417i | ||||
\(187\) | 9.56678 | + | 1.34873i | 0.699592 | + | 0.0986286i | ||||
\(188\) | 5.26720i | 0.384150i | ||||||||
\(189\) | 13.3506 | − | 3.28041i | 0.971114 | − | 0.238615i | ||||
\(190\) | −16.2358 | + | 11.7960i | −1.17787 | + | 0.855771i | ||||
\(191\) | −6.41394 | − | 14.4059i | −0.464096 | − | 1.04238i | −0.982333 | − | 0.187140i | \(-0.940078\pi\) |
0.518237 | − | 0.855237i | \(-0.326589\pi\) | |||||||
\(192\) | 6.04501 | − | 5.52209i | 0.436261 | − | 0.398522i | ||||
\(193\) | 1.80480 | + | 1.62505i | 0.129912 | + | 0.116974i | 0.731526 | − | 0.681814i | \(-0.238809\pi\) |
−0.601613 | + | 0.798787i | \(0.705475\pi\) | |||||||
\(194\) | 18.8812 | − | 8.40647i | 1.35559 | − | 0.603549i | ||||
\(195\) | −30.8178 | + | 18.0891i | −2.20691 | + | 1.29539i | ||||
\(196\) | −1.27131 | − | 3.66300i | −0.0908078 | − | 0.261643i | ||||
\(197\) | −26.4897 | −1.88731 | −0.943657 | − | 0.330926i | \(-0.892639\pi\) | ||||
−0.943657 | + | 0.330926i | \(0.892639\pi\) | |||||||
\(198\) | 15.2223 | − | 4.59543i | 1.08180 | − | 0.326583i | ||||
\(199\) | −8.54056 | − | 14.7927i | −0.605424 | − | 1.04862i | −0.991984 | − | 0.126361i | \(-0.959670\pi\) |
0.386560 | − | 0.922264i | \(-0.373663\pi\) | |||||||
\(200\) | 15.1393 | − | 3.21795i | 1.07051 | − | 0.227543i | ||||
\(201\) | 0.0150905 | + | 2.10081i | 0.00106440 | + | 0.148180i | ||||
\(202\) | 3.18365 | + | 2.31306i | 0.224001 | + | 0.162746i | ||||
\(203\) | 5.28287 | − | 12.1905i | 0.370785 | − | 0.855609i | ||||
\(204\) | 0.600678 | + | 2.72942i | 0.0420559 | + | 0.191097i | ||||
\(205\) | 0.859640 | + | 1.93078i | 0.0600399 | + | 0.134852i | ||||
\(206\) | 5.48478 | + | 2.44198i | 0.382143 | + | 0.170141i | ||||
\(207\) | −0.153764 | − | 10.7024i | −0.0106873 | − | 0.743870i | ||||
\(208\) | −25.0811 | − | 14.4806i | −1.73906 | − | 1.00405i | ||||
\(209\) | 7.82367 | + | 9.33205i | 0.541175 | + | 0.645512i | ||||
\(210\) | 5.62654 | + | 24.4068i | 0.388268 | + | 1.68423i | ||||
\(211\) | 0.272900 | + | 0.0886707i | 0.0187872 | + | 0.00610434i | 0.318396 | − | 0.947958i | \(-0.396856\pi\) |
−0.299608 | + | 0.954062i | \(0.596856\pi\) | |||||||
\(212\) | −3.88391 | + | 0.408215i | −0.266748 | + | 0.0280363i | ||||
\(213\) | 2.74305 | + | 0.562492i | 0.187951 | + | 0.0385413i | ||||
\(214\) | −12.2341 | + | 13.5874i | −0.836308 | + | 0.928815i | ||||
\(215\) | 5.38565 | + | 1.14475i | 0.367298 | + | 0.0780716i | ||||
\(216\) | −7.26598 | − | 9.56056i | −0.494387 | − | 0.650513i | ||||
\(217\) | −4.99075 | − | 10.9158i | −0.338794 | − | 0.741011i | ||||
\(218\) | −8.80600 | − | 2.86124i | −0.596418 | − | 0.193788i | ||||
\(219\) | 11.7171 | + | 8.38507i | 0.791770 | + | 0.566610i | ||||
\(220\) | 1.72926 | + | 6.04048i | 0.116587 | + | 0.407249i | ||||
\(221\) | −15.2180 | + | 8.78611i | −1.02367 | + | 0.591018i | ||||
\(222\) | −2.44532 | − | 3.31535i | −0.164119 | − | 0.222512i | ||||
\(223\) | 14.4877 | − | 10.5259i | 0.970169 | − | 0.704869i | 0.0146787 | − | 0.999892i | \(-0.495327\pi\) |
0.955490 | + | 0.295023i | \(0.0953275\pi\) | |||||||
\(224\) | −5.94372 | + | 5.45981i | −0.397132 | + | 0.364799i | ||||
\(225\) | −2.38702 | − | 19.9497i | −0.159135 | − | 1.32998i | ||||
\(226\) | −0.325039 | + | 1.52919i | −0.0216213 | + | 0.101720i | ||||
\(227\) | 0.0850488 | − | 0.809185i | 0.00564489 | − | 0.0537075i | −0.991337 | − | 0.131344i | \(-0.958071\pi\) |
0.996982 | + | 0.0776366i | \(0.0247374\pi\) | |||||||
\(228\) | −1.73936 | + | 3.06326i | −0.115192 | + | 0.202869i | ||||
\(229\) | −2.75120 | − | 3.05552i | −0.181805 | − | 0.201915i | 0.645353 | − | 0.763885i | \(-0.276710\pi\) |
−0.827158 | + | 0.561970i | \(0.810044\pi\) | |||||||
\(230\) | 19.5008 | 1.28584 | ||||||||
\(231\) | 14.5379 | − | 4.43275i | 0.956524 | − | 0.291654i | ||||
\(232\) | −11.6050 | −0.761905 | ||||||||
\(233\) | 15.7404 | + | 17.4815i | 1.03119 | + | 1.14525i | 0.989266 | + | 0.146128i | \(0.0466810\pi\) |
0.0419207 | + | 0.999121i | \(0.486652\pi\) | |||||||
\(234\) | −16.6612 | + | 23.6391i | −1.08918 | + | 1.54533i | ||||
\(235\) | 3.39954 | − | 32.3445i | 0.221762 | − | 2.10992i | ||||
\(236\) | −0.0150530 | + | 0.0708186i | −0.000979864 | + | 0.00460990i | ||||
\(237\) | −14.0183 | + | 3.08509i | −0.910586 | + | 0.200398i | ||||
\(238\) | 2.68053 | + | 12.0215i | 0.173753 | + | 0.779237i | ||||
\(239\) | −6.63633 | + | 4.82158i | −0.429269 | + | 0.311882i | −0.781356 | − | 0.624085i | \(-0.785472\pi\) |
0.352088 | + | 0.935967i | \(0.385472\pi\) | |||||||
\(240\) | 22.8881 | − | 16.8817i | 1.47742 | − | 1.08971i | ||||
\(241\) | −0.360445 | + | 0.208103i | −0.0232183 | + | 0.0134051i | −0.511564 | − | 0.859245i | \(-0.670934\pi\) |
0.488346 | + | 0.872650i | \(0.337600\pi\) | |||||||
\(242\) | 16.5241 | − | 5.99815i | 1.06221 | − | 0.385576i | ||||
\(243\) | −13.2114 | + | 8.27396i | −0.847513 | + | 0.530775i | ||||
\(244\) | −3.96068 | − | 1.28690i | −0.253557 | − | 0.0823856i | ||||
\(245\) | 5.44262 | + | 23.3141i | 0.347716 | + | 1.48948i | ||||
\(246\) | 1.27934 | + | 1.13539i | 0.0815677 | + | 0.0723897i | ||||
\(247\) | −21.6650 | − | 4.60503i | −1.37851 | − | 0.293011i | ||||
\(248\) | −7.01512 | + | 7.79108i | −0.445461 | + | 0.494734i | ||||
\(249\) | −2.89032 | + | 14.0950i | −0.183166 | + | 0.893232i | ||||
\(250\) | 9.22624 | − | 0.969717i | 0.583519 | − | 0.0613303i | ||||
\(251\) | −17.8624 | − | 5.80384i | −1.12746 | − | 0.366335i | −0.314852 | − | 0.949141i | \(-0.601955\pi\) |
−0.812611 | + | 0.582806i | \(0.801955\pi\) | |||||||
\(252\) | 2.66991 | + | 3.49296i | 0.168189 | + | 0.220036i | ||||
\(253\) | −0.820358 | − | 11.8047i | −0.0515754 | − | 0.742157i | ||||
\(254\) | 10.1188 | + | 5.84211i | 0.634912 | + | 0.366567i | ||||
\(255\) | −1.92700 | − | 17.1483i | −0.120673 | − | 1.07387i | ||||
\(256\) | 11.2989 | + | 5.03061i | 0.706183 | + | 0.314413i | ||||
\(257\) | 3.93811 | + | 8.84514i | 0.245653 | + | 0.551745i | 0.993722 | − | 0.111875i | \(-0.0356858\pi\) |
−0.748070 | + | 0.663620i | \(0.769019\pi\) | |||||||
\(258\) | 4.35194 | − | 0.957756i | 0.270940 | − | 0.0596273i | ||||
\(259\) | −2.34610 | − | 3.16247i | −0.145779 | − | 0.196506i | ||||
\(260\) | −9.24531 | − | 6.71711i | −0.573370 | − | 0.416577i | ||||
\(261\) | −1.35932 | + | 15.0035i | −0.0841397 | + | 0.928692i | ||||
\(262\) | −11.0800 | + | 2.35513i | −0.684526 | + | 0.145501i | ||||
\(263\) | −13.9256 | − | 24.1199i | −0.858691 | − | 1.48730i | −0.873178 | − | 0.487401i | \(-0.837945\pi\) |
0.0144879 | − | 0.999895i | \(-0.495388\pi\) | |||||||
\(264\) | −8.60190 | − | 10.1119i | −0.529410 | − | 0.622344i | ||||
\(265\) | 24.1135 | 1.48128 | ||||||||
\(266\) | −7.62816 | + | 13.5213i | −0.467712 | + | 0.829044i | ||||
\(267\) | −10.6410 | − | 18.1287i | −0.651218 | − | 1.10946i | ||||
\(268\) | −0.613767 | + | 0.273267i | −0.0374918 | + | 0.0166924i | ||||
\(269\) | 4.83015 | + | 4.34909i | 0.294499 | + | 0.265168i | 0.803113 | − | 0.595826i | \(-0.203175\pi\) |
−0.508614 | + | 0.860995i | \(0.669842\pi\) | |||||||
\(270\) | −14.7270 | − | 24.2840i | −0.896256 | − | 1.47787i | ||||
\(271\) | 10.3485 | + | 23.2431i | 0.628626 | + | 1.41192i | 0.894130 | + | 0.447808i | \(0.147795\pi\) |
−0.265504 | + | 0.964110i | \(0.585538\pi\) | |||||||
\(272\) | 11.3144 | − | 8.22041i | 0.686038 | − | 0.498435i | ||||
\(273\) | −15.8629 | + | 22.6392i | −0.960067 | + | 1.37019i | ||||
\(274\) | 5.37603i | 0.324778i | ||||||||
\(275\) | −3.84774 | − | 21.8767i | −0.232027 | − | 1.31922i | ||||
\(276\) | 3.11696 | − | 1.41467i | 0.187619 | − | 0.0851533i | ||||
\(277\) | −0.673870 | − | 3.17031i | −0.0404889 | − | 0.190485i | 0.953255 | − | 0.302166i | \(-0.0977098\pi\) |
−0.993744 | + | 0.111681i | \(0.964376\pi\) | |||||||
\(278\) | −31.6824 | + | 3.32995i | −1.90018 | + | 0.199717i | ||||
\(279\) | 9.25098 | + | 9.98207i | 0.553842 | + | 0.597611i | ||||
\(280\) | 16.7948 | − | 12.4594i | 1.00368 | − | 0.744590i | ||||
\(281\) | −5.98056 | − | 18.4063i | −0.356770 | − | 1.09803i | −0.954976 | − | 0.296683i | \(-0.904119\pi\) |
0.598206 | − | 0.801343i | \(-0.295881\pi\) | |||||||
\(282\) | −8.31331 | − | 24.9739i | −0.495050 | − | 1.48717i | ||||
\(283\) | 4.17035 | − | 9.36675i | 0.247901 | − | 0.556796i | −0.746141 | − | 0.665788i | \(-0.768096\pi\) |
0.994043 | + | 0.108992i | \(0.0347623\pi\) | |||||||
\(284\) | 0.186180 | + | 0.875909i | 0.0110478 | + | 0.0519756i | ||||
\(285\) | 12.6580 | − | 17.6881i | 0.749797 | − | 1.04775i | ||||
\(286\) | −16.9548 | + | 27.1073i | −1.00256 | + | 1.60289i | ||||
\(287\) | 1.22584 | + | 1.08186i | 0.0723592 | + | 0.0638604i | ||||
\(288\) | 4.46137 | − | 7.99026i | 0.262889 | − | 0.470830i | ||||
\(289\) | 0.889991 | + | 8.46769i | 0.0523524 | + | 0.498100i | ||||
\(290\) | −27.2964 | − | 2.86897i | −1.60290 | − | 0.168472i | ||||
\(291\) | −16.5388 | + | 15.1081i | −0.969519 | + | 0.885651i | ||||
\(292\) | −0.958008 | + | 4.50707i | −0.0560632 | + | 0.263756i | ||||
\(293\) | 23.0816 | + | 16.7698i | 1.34844 | + | 0.979701i | 0.999087 | + | 0.0427112i | \(0.0135995\pi\) |
0.349356 | + | 0.936990i | \(0.386400\pi\) | |||||||
\(294\) | 11.8092 | + | 15.3612i | 0.688725 | + | 0.895886i | ||||
\(295\) | 0.138144 | − | 0.425164i | 0.00804305 | − | 0.0247540i | ||||
\(296\) | −1.71973 | + | 2.97867i | −0.0999575 | + | 0.173131i | ||||
\(297\) | −14.0807 | + | 9.93651i | −0.817044 | + | 0.576575i | ||||
\(298\) | −4.48810 | − | 7.77362i | −0.259989 | − | 0.450314i | ||||
\(299\) | 14.4013 | + | 15.9942i | 0.832847 | + | 0.924970i | ||||
\(300\) | 5.54132 | − | 3.25258i | 0.319928 | − | 0.187788i | ||||
\(301\) | 4.15721 | − | 0.926971i | 0.239618 | − | 0.0534297i | ||||
\(302\) | 6.99926 | − | 2.27420i | 0.402762 | − | 0.130865i | ||||
\(303\) | −4.06569 | − | 1.28881i | −0.233568 | − | 0.0740401i | ||||
\(304\) | 17.5314 | + | 1.84262i | 1.00549 | + | 0.105682i | ||||
\(305\) | 23.4909 | + | 10.4588i | 1.34509 | + | 0.598872i | ||||
\(306\) | −7.15594 | − | 11.9932i | −0.409078 | − | 0.685606i | ||||
\(307\) | 3.80411i | 0.217112i | 0.994090 | + | 0.108556i | \(0.0346227\pi\) | ||||
−0.994090 | + | 0.108556i | \(0.965377\pi\) | |||||||
\(308\) | 3.15958 | + | 3.69346i | 0.180034 | + | 0.210454i | ||||
\(309\) | −6.47617 | − | 0.633675i | −0.368417 | − | 0.0360485i | ||||
\(310\) | −18.4266 | + | 16.5914i | −1.04656 | + | 0.942326i | ||||
\(311\) | −3.57683 | + | 8.03369i | −0.202823 | + | 0.455549i | −0.986106 | − | 0.166117i | \(-0.946877\pi\) |
0.783283 | + | 0.621666i | \(0.213544\pi\) | |||||||
\(312\) | 23.6537 | + | 4.85043i | 1.33913 | + | 0.274602i | ||||
\(313\) | 9.72229 | + | 2.06654i | 0.549536 | + | 0.116808i | 0.474308 | − | 0.880359i | \(-0.342698\pi\) |
0.0752281 | + | 0.997166i | \(0.476032\pi\) | |||||||
\(314\) | 6.86731 | + | 21.1354i | 0.387545 | + | 1.19274i | ||||
\(315\) | −14.1408 | − | 23.1726i | −0.796746 | − | 1.30563i | ||||
\(316\) | −2.69811 | − | 3.71364i | −0.151781 | − | 0.208908i | ||||
\(317\) | −14.7381 | + | 13.2703i | −0.827776 | + | 0.745333i | −0.969636 | − | 0.244554i | \(-0.921359\pi\) |
0.141859 | + | 0.989887i | \(0.454692\pi\) | |||||||
\(318\) | 17.7709 | − | 8.06555i | 0.996541 | − | 0.452293i | ||||
\(319\) | −0.588418 | + | 16.6445i | −0.0329451 | + | 0.931913i | ||||
\(320\) | −14.0012 | − | 8.08361i | −0.782692 | − | 0.451887i | ||||
\(321\) | 7.92974 | − | 18.1604i | 0.442595 | − | 1.01362i | ||||
\(322\) | 13.7195 | − | 6.27262i | 0.764557 | − | 0.349559i | ||||
\(323\) | 6.28683 | − | 8.65308i | 0.349808 | − | 0.481470i | ||||
\(324\) | −4.11559 | − | 2.81313i | −0.228644 | − | 0.156285i | ||||
\(325\) | 30.0233 | + | 27.0331i | 1.66539 | + | 1.49953i | ||||
\(326\) | −2.27057 | + | 21.6030i | −0.125755 | + | 1.19648i | ||||
\(327\) | 10.0350 | − | 0.0720838i | 0.554939 | − | 0.00398625i | ||||
\(328\) | 0.441308 | − | 1.35821i | 0.0243671 | − | 0.0749943i | ||||
\(329\) | −8.01223 | − | 23.8490i | −0.441729 | − | 1.31484i | ||||
\(330\) | −17.7329 | − | 25.9110i | −0.976166 | − | 1.42635i | ||||
\(331\) | 11.3000 | − | 19.5722i | 0.621105 | − | 1.07578i | −0.368176 | − | 0.929756i | \(-0.620018\pi\) |
0.989280 | − | 0.146028i | \(-0.0466491\pi\) | |||||||
\(332\) | −4.50079 | + | 0.956672i | −0.247013 | + | 0.0525042i | ||||
\(333\) | 3.64952 | + | 2.57225i | 0.199993 | + | 0.140959i | ||||
\(334\) | −10.8325 | + | 4.82294i | −0.592729 | + | 0.263900i | ||||
\(335\) | 3.94536 | − | 1.28192i | 0.215558 | − | 0.0700390i | ||||
\(336\) | 10.6724 | − | 19.2391i | 0.582229 | − | 1.04958i | ||||
\(337\) | −2.85502 | + | 3.92960i | −0.155523 | + | 0.214059i | −0.879667 | − | 0.475589i | \(-0.842235\pi\) |
0.724145 | + | 0.689648i | \(0.242235\pi\) | |||||||
\(338\) | −3.90701 | − | 37.1727i | −0.212513 | − | 2.02193i | ||||
\(339\) | −0.189212 | − | 1.68380i | −0.0102766 | − | 0.0914513i | ||||
\(340\) | 4.77918 | − | 2.75926i | 0.259187 | − | 0.149642i | ||||
\(341\) | 10.8187 | + | 10.4565i | 0.585866 | + | 0.566252i | ||||
\(342\) | 3.41219 | − | 17.2694i | 0.184510 | − | 0.933823i | ||||
\(343\) | 11.3283 | + | 14.6516i | 0.611670 | + | 0.791113i | ||||
\(344\) | −2.18679 | − | 3.00986i | −0.117904 | − | 0.162281i | ||||
\(345\) | −20.0535 | + | 6.67541i | −1.07964 | + | 0.359392i | ||||
\(346\) | 15.8136 | − | 17.5627i | 0.850142 | − | 0.944179i | ||||
\(347\) | −8.83076 | + | 9.80755i | −0.474060 | + | 0.526497i | −0.931986 | − | 0.362493i | \(-0.881926\pi\) |
0.457927 | + | 0.888990i | \(0.348592\pi\) | |||||||
\(348\) | −4.57113 | + | 1.52164i | −0.245038 | + | 0.0815683i | ||||
\(349\) | −1.00792 | − | 1.38729i | −0.0539529 | − | 0.0742598i | 0.781188 | − | 0.624296i | \(-0.214614\pi\) |
−0.835141 | + | 0.550036i | \(0.814614\pi\) | |||||||
\(350\) | 24.3815 | − | 14.4020i | 1.30324 | − | 0.769819i | ||||
\(351\) | 9.04148 | − | 30.0125i | 0.482599 | − | 1.60195i | ||||
\(352\) | 4.43903 | − | 9.09141i | 0.236601 | − | 0.484574i | ||||
\(353\) | −11.3072 | + | 6.52824i | −0.601824 | + | 0.347463i | −0.769759 | − | 0.638335i | \(-0.779623\pi\) |
0.167935 | + | 0.985798i | \(0.446290\pi\) | |||||||
\(354\) | −0.0404021 | − | 0.359538i | −0.00214735 | − | 0.0191092i | ||||
\(355\) | −0.577957 | − | 5.49890i | −0.0306748 | − | 0.291851i | ||||
\(356\) | 3.95137 | − | 5.43860i | 0.209422 | − | 0.288245i | ||||
\(357\) | −6.87164 | − | 11.4446i | −0.363686 | − | 0.605714i | ||||
\(358\) | 38.1985 | − | 12.4114i | 2.01885 | − | 0.655965i | ||||
\(359\) | −4.57740 | + | 2.03799i | −0.241586 | + | 0.107561i | −0.523958 | − | 0.851744i | \(-0.675545\pi\) |
0.282372 | + | 0.959305i | \(0.408879\pi\) | |||||||
\(360\) | −13.6604 | + | 19.3814i | −0.719966 | + | 1.02149i | ||||
\(361\) | −5.39786 | + | 1.14735i | −0.284098 | + | 0.0603868i | ||||
\(362\) | −3.09238 | + | 5.35616i | −0.162532 | + | 0.281513i | ||||
\(363\) | −14.9392 | + | 11.8246i | −0.784103 | + | 0.620631i | ||||
\(364\) | −8.66503 | − | 1.75188i | −0.454171 | − | 0.0918235i | ||||
\(365\) | 8.79183 | − | 27.0585i | 0.460185 | − | 1.41630i | ||||
\(366\) | 20.8103 | − | 0.149485i | 1.08777 | − | 0.00781370i | ||||
\(367\) | −1.00775 | + | 9.58806i | −0.0526039 | + | 0.500493i | 0.936221 | + | 0.351412i | \(0.114298\pi\) |
−0.988825 | + | 0.149081i | \(0.952368\pi\) | |||||||
\(368\) | −12.7295 | − | 11.4617i | −0.663571 | − | 0.597482i | ||||
\(369\) | −1.70426 | − | 0.729633i | −0.0887203 | − | 0.0379832i | ||||
\(370\) | −4.78142 | + | 6.58106i | −0.248574 | + | 0.342133i | ||||
\(371\) | 16.9647 | − | 7.75636i | 0.880765 | − | 0.402690i | ||||
\(372\) | −1.74165 | + | 3.98867i | −0.0903003 | + | 0.206803i | ||||
\(373\) | −3.37252 | − | 1.94712i | −0.174622 | − | 0.100818i | 0.410141 | − | 0.912022i | \(-0.365479\pi\) |
−0.584764 | + | 0.811204i | \(0.698813\pi\) | |||||||
\(374\) | −8.62831 | − | 12.8039i | −0.446159 | − | 0.662074i | ||||
\(375\) | −9.15580 | + | 4.15548i | −0.472804 | + | 0.214588i | ||||
\(376\) | −16.3311 | + | 14.7046i | −0.842212 | + | 0.758331i | ||||
\(377\) | −17.8053 | − | 24.5068i | −0.917017 | − | 1.26217i | ||||
\(378\) | −18.1721 | − | 12.3475i | −0.934674 | − | 0.635089i | ||||
\(379\) | 5.31726 | + | 16.3648i | 0.273129 | + | 0.840606i | 0.989708 | + | 0.143100i | \(0.0457070\pi\) |
−0.716579 | + | 0.697506i | \(0.754293\pi\) | |||||||
\(380\) | 6.80384 | + | 1.44620i | 0.349030 | + | 0.0741886i | ||||
\(381\) | −12.4055 | − | 2.54387i | −0.635552 | − | 0.130326i | ||||
\(382\) | −10.2501 | + | 23.0221i | −0.524440 | + | 1.17791i | ||||
\(383\) | 0.675883 | − | 0.608568i | 0.0345360 | − | 0.0310964i | −0.651682 | − | 0.758492i | \(-0.725936\pi\) |
0.686218 | + | 0.727396i | \(0.259270\pi\) | |||||||
\(384\) | −23.5391 | − | 2.30324i | −1.20123 | − | 0.117537i | ||||
\(385\) | −17.0183 | − | 24.7198i | −0.867335 | − | 1.25984i | ||||
\(386\) | − | 3.88113i | − | 0.197544i | ||||||
\(387\) | −4.14744 | + | 2.47464i | −0.210826 | + | 0.125793i | ||||
\(388\) | −6.54432 | − | 2.91372i | −0.332238 | − | 0.147922i | ||||
\(389\) | −28.8368 | − | 3.03087i | −1.46209 | − | 0.153671i | −0.660173 | − | 0.751113i | \(-0.729517\pi\) |
−0.801912 | + | 0.597442i | \(0.796184\pi\) | |||||||
\(390\) | 54.4374 | + | 17.2565i | 2.75655 | + | 0.873816i | ||||
\(391\) | −9.88451 | + | 3.21167i | −0.499881 | + | 0.162421i | ||||
\(392\) | 7.80809 | − | 14.1678i | 0.394368 | − | 0.715584i | ||||
\(393\) | 10.5879 | − | 6.21475i | 0.534088 | − | 0.313492i | ||||
\(394\) | 28.3263 | + | 31.4596i | 1.42706 | + | 1.58491i | ||||
\(395\) | 14.1716 | + | 24.5459i | 0.713050 | + | 1.23504i | ||||
\(396\) | −4.71409 | − | 2.85513i | −0.236892 | − | 0.143476i | ||||
\(397\) | −2.72393 | + | 4.71798i | −0.136710 | + | 0.236789i | −0.926249 | − | 0.376911i | \(-0.876986\pi\) |
0.789539 | + | 0.613700i | \(0.210320\pi\) | |||||||
\(398\) | −8.43531 | + | 25.9612i | −0.422824 | + | 1.30132i | ||||
\(399\) | 3.21583 | − | 16.5158i | 0.160993 | − | 0.826823i | ||||
\(400\) | −26.0130 | − | 18.8996i | −1.30065 | − | 0.944978i | ||||
\(401\) | −6.01988 | + | 28.3213i | −0.300618 | + | 1.41430i | 0.525496 | + | 0.850796i | \(0.323880\pi\) |
−0.826115 | + | 0.563502i | \(0.809454\pi\) | |||||||
\(402\) | 2.47882 | − | 2.26439i | 0.123632 | − | 0.112937i | ||||
\(403\) | −27.2160 | − | 2.86051i | −1.35572 | − | 0.142492i | ||||
\(404\) | −0.142573 | − | 1.35649i | −0.00709326 | − | 0.0674879i | ||||
\(405\) | 23.4572 | + | 19.9310i | 1.16560 | + | 0.990379i | ||||
\(406\) | −20.1268 | + | 6.76175i | −0.998879 | + | 0.335580i | ||||
\(407\) | 4.18497 | + | 2.61757i | 0.207441 | + | 0.129748i | ||||
\(408\) | −6.78570 | + | 9.48221i | −0.335942 | + | 0.469439i | ||||
\(409\) | −3.10823 | − | 14.6231i | −0.153692 | − | 0.723065i | −0.985728 | − | 0.168344i | \(-0.946158\pi\) |
0.832036 | − | 0.554721i | \(-0.187175\pi\) | |||||||
\(410\) | 1.37379 | − | 3.08558i | 0.0678465 | − | 0.152386i | ||||
\(411\) | −1.84029 | − | 5.52840i | −0.0907750 | − | 0.272696i | ||||
\(412\) | −0.643052 | − | 1.97911i | −0.0316809 | − | 0.0975037i | ||||
\(413\) | −0.0395688 | − | 0.343553i | −0.00194706 | − | 0.0169051i | ||||
\(414\) | −12.5460 | + | 11.6271i | −0.616600 | + | 0.571440i | ||||
\(415\) | 28.2556 | − | 2.96979i | 1.38701 | − | 0.145781i | ||||
\(416\) | 3.82586 | + | 17.9992i | 0.187578 | + | 0.882486i | ||||
\(417\) | 31.4405 | − | 14.2697i | 1.53965 | − | 0.698790i | ||||
\(418\) | 2.71677 | − | 19.2706i | 0.132882 | − | 0.942556i | ||||
\(419\) | 17.4038i | 0.850234i | 0.905138 | + | 0.425117i | \(0.139767\pi\) | ||||
−0.905138 | + | 0.425117i | \(0.860233\pi\) | |||||||
\(420\) | 4.98172 | − | 7.10979i | 0.243083 | − | 0.346922i | ||||
\(421\) | −4.14145 | + | 3.00894i | −0.201842 | + | 0.146647i | −0.684115 | − | 0.729374i | \(-0.739811\pi\) |
0.482273 | + | 0.876021i | \(0.339811\pi\) | |||||||
\(422\) | −0.186515 | − | 0.418919i | −0.00907940 | − | 0.0203927i | ||||
\(423\) | 17.0979 | + | 22.8360i | 0.831327 | + | 1.11032i | ||||
\(424\) | −12.1085 | − | 10.9025i | −0.588040 | − | 0.529474i | ||||
\(425\) | −17.8227 | + | 7.93519i | −0.864530 | + | 0.384913i | ||||
\(426\) | −2.26522 | − | 3.85919i | −0.109750 | − | 0.186978i | ||||
\(427\) | 19.8909 | − | 0.197928i | 0.962588 | − | 0.00957838i | ||||
\(428\) | 6.33719 | 0.306319 | ||||||||
\(429\) | 8.15609 | − | 33.6795i | 0.393780 | − | 1.62606i | ||||
\(430\) | −4.39953 | − | 7.62020i | −0.212164 | − | 0.367479i | ||||
\(431\) | −6.34826 | + | 1.34937i | −0.305785 | + | 0.0649966i | −0.358249 | − | 0.933626i | \(-0.616626\pi\) |
0.0524636 | + | 0.998623i | \(0.483293\pi\) | |||||||
\(432\) | −4.65972 | + | 24.5077i | −0.224191 | + | 1.17913i | ||||
\(433\) | −31.5257 | − | 22.9047i | −1.51503 | − | 1.10073i | −0.963885 | − | 0.266320i | \(-0.914192\pi\) |
−0.551142 | − | 0.834411i | \(-0.685808\pi\) | |||||||
\(434\) | −7.62698 | + | 17.5997i | −0.366107 | + | 0.844813i | ||||
\(435\) | 29.0522 | − | 6.39369i | 1.39295 | − | 0.306554i | ||||
\(436\) | 1.30533 | + | 2.93182i | 0.0625139 | + | 0.140409i | ||||
\(437\) | −11.9676 | − | 5.32831i | −0.572487 | − | 0.254888i | ||||
\(438\) | −2.57129 | − | 22.8819i | −0.122861 | − | 1.09334i | ||||
\(439\) | −18.5167 | − | 10.6906i | −0.883754 | − | 0.510236i | −0.0118596 | − | 0.999930i | \(-0.503775\pi\) |
−0.871894 | + | 0.489694i | \(0.837108\pi\) | |||||||
\(440\) | −13.9010 | + | 22.2250i | −0.662706 | + | 1.05954i | ||||
\(441\) | −17.4023 | − | 11.7542i | −0.828680 | − | 0.559723i | ||||
\(442\) | 26.7076 | + | 8.67784i | 1.27035 | + | 0.412763i | ||||
\(443\) | 32.4007 | − | 3.40545i | 1.53940 | − | 0.161798i | 0.703508 | − | 0.710688i | \(-0.251616\pi\) |
0.835895 | + | 0.548890i | \(0.184949\pi\) | |||||||
\(444\) | −0.286832 | + | 1.39877i | −0.0136124 | + | 0.0663825i | ||||
\(445\) | −27.7745 | + | 30.8467i | −1.31664 | + | 1.46228i | ||||
\(446\) | −27.9930 | − | 5.95009i | −1.32551 | − | 0.281745i | ||||
\(447\) | 7.27634 | + | 6.45761i | 0.344159 | + | 0.305434i | ||||
\(448\) | −12.4505 | − | 1.18347i | −0.588232 | − | 0.0559139i | ||||
\(449\) | −14.9984 | − | 4.87328i | −0.707819 | − | 0.229984i | −0.0670848 | − | 0.997747i | \(-0.521370\pi\) |
−0.640734 | + | 0.767763i | \(0.721370\pi\) | |||||||
\(450\) | −21.1400 | + | 24.1677i | −0.996550 | + | 1.13928i | ||||
\(451\) | −1.92564 | − | 0.701814i | −0.0906747 | − | 0.0330471i | ||||
\(452\) | 0.469268 | − | 0.270932i | 0.0220725 | − | 0.0127436i | ||||
\(453\) | −6.41915 | + | 4.73461i | −0.301598 | + | 0.222451i | ||||
\(454\) | −1.05195 | + | 0.764284i | −0.0493703 | + | 0.0358696i | ||||
\(455\) | 52.0790 | + | 16.3504i | 2.44150 | + | 0.766519i | ||||
\(456\) | −14.3535 | + | 3.15887i | −0.672166 | + | 0.147927i | ||||
\(457\) | −2.36615 | + | 11.1319i | −0.110684 | + | 0.520727i | 0.887517 | + | 0.460774i | \(0.152428\pi\) |
−0.998201 | + | 0.0599525i | \(0.980905\pi\) | |||||||
\(458\) | −0.686830 | + | 6.53475i | −0.0320934 | + | 0.305349i | ||||
\(459\) | 11.4642 | + | 9.88355i | 0.535104 | + | 0.461325i | ||||
\(460\) | −4.52269 | − | 5.02296i | −0.210871 | − | 0.234197i | ||||
\(461\) | 34.6594 | 1.61425 | 0.807126 | − | 0.590380i | \(-0.201022\pi\) | ||||
0.807126 | + | 0.590380i | \(0.201022\pi\) | |||||||
\(462\) | −20.8103 | − | 12.5254i | −0.968182 | − | 0.582732i | ||||
\(463\) | −11.5591 | −0.537199 | −0.268599 | − | 0.963252i | \(-0.586561\pi\) | ||||
−0.268599 | + | 0.963252i | \(0.586561\pi\) | |||||||
\(464\) | 16.1320 | + | 17.9164i | 0.748910 | + | 0.831748i | ||||
\(465\) | 13.2694 | − | 23.3693i | 0.615353 | − | 1.08373i | ||||
\(466\) | 3.92954 | − | 37.3870i | 0.182032 | − | 1.73192i | ||||
\(467\) | 8.62985 | − | 40.6003i | 0.399342 | − | 1.87876i | −0.0729851 | − | 0.997333i | \(-0.523253\pi\) |
0.472327 | − | 0.881423i | \(-0.343414\pi\) | |||||||
\(468\) | 9.95302 | − | 1.19090i | 0.460078 | − | 0.0550493i | ||||
\(469\) | 2.36336 | − | 2.17094i | 0.109130 | − | 0.100245i | ||||
\(470\) | −42.0481 | + | 30.5497i | −1.93953 | + | 1.40915i | ||||
\(471\) | −14.2969 | − | 19.3837i | −0.658767 | − | 0.893153i | ||||
\(472\) | −0.261599 | + | 0.151034i | −0.0120411 | + | 0.00695191i | ||||
\(473\) | −4.42779 | + | 2.98381i | −0.203590 | + | 0.137196i | ||||
\(474\) | 18.6541 | + | 13.3494i | 0.856813 | + | 0.613156i | ||||
\(475\) | −23.3872 | − | 7.59895i | −1.07308 | − | 0.348664i | ||||
\(476\) | 2.47478 | − | 3.47851i | 0.113431 | − | 0.159437i | ||||
\(477\) | −15.5136 | + | 14.3774i | −0.710319 | + | 0.658295i | ||||
\(478\) | 12.8226 | + | 2.72554i | 0.586494 | + | 0.124663i | ||||
\(479\) | 1.46684 | − | 1.62909i | 0.0670217 | − | 0.0744351i | −0.708701 | − | 0.705509i | \(-0.750719\pi\) |
0.775723 | + | 0.631073i | \(0.217385\pi\) | |||||||
\(480\) | −17.7021 | − | 3.63001i | −0.807989 | − | 0.165686i | ||||
\(481\) | −8.92875 | + | 0.938449i | −0.407116 | + | 0.0427896i | ||||
\(482\) | 0.632583 | + | 0.205539i | 0.0288134 | + | 0.00936203i | ||||
\(483\) | −11.9611 | + | 11.1468i | −0.544251 | + | 0.507197i | ||||
\(484\) | −5.37731 | − | 2.86511i | −0.244423 | − | 0.130232i | ||||
\(485\) | 38.3064 | + | 22.1162i | 1.73941 | + | 1.00425i | ||||
\(486\) | 23.9537 | + | 6.84247i | 1.08656 | + | 0.310381i | ||||
\(487\) | 19.3851 | + | 8.63080i | 0.878422 | + | 0.391099i | 0.795855 | − | 0.605487i | \(-0.207022\pi\) |
0.0825667 | + | 0.996586i | \(0.473688\pi\) | |||||||
\(488\) | −7.06707 | − | 15.8729i | −0.319911 | − | 0.718532i | ||||
\(489\) | −5.06010 | − | 22.9925i | −0.228826 | − | 1.03976i | ||||
\(490\) | 21.8682 | − | 31.3943i | 0.987905 | − | 1.41825i | ||||
\(491\) | −1.08345 | − | 0.787174i | −0.0488955 | − | 0.0355247i | 0.563069 | − | 0.826410i | \(-0.309621\pi\) |
−0.611965 | + | 0.790885i | \(0.709621\pi\) | |||||||
\(492\) | −0.00425858 | − | 0.592852i | −0.000191992 | − | 0.0267278i | ||||
\(493\) | 14.3085 | − | 3.04136i | 0.644421 | − | 0.136976i | ||||
\(494\) | 17.6981 | + | 30.6540i | 0.796274 | + | 1.37919i | ||||
\(495\) | 27.1053 | + | 20.5752i | 1.21829 | + | 0.924786i | ||||
\(496\) | 21.7800 | 0.977949 | ||||||||
\(497\) | −2.17539 | − | 3.68277i | −0.0975795 | − | 0.165195i | ||||
\(498\) | 19.8301 | − | 11.6396i | 0.888609 | − | 0.521585i | ||||
\(499\) | 22.3234 | − | 9.93903i | 0.999334 | − | 0.444932i | 0.159162 | − | 0.987252i | \(-0.449121\pi\) |
0.840172 | + | 0.542320i | \(0.182454\pi\) | |||||||
\(500\) | −2.38956 | − | 2.15157i | −0.106864 | − | 0.0962211i | ||||
\(501\) | 9.48858 | − | 8.66778i | 0.423919 | − | 0.387248i | ||||
\(502\) | 12.2081 | + | 27.4199i | 0.544875 | + | 1.22381i | ||||
\(503\) | −4.63001 | + | 3.36390i | −0.206442 | + | 0.149989i | −0.686202 | − | 0.727411i | \(-0.740724\pi\) |
0.479760 | + | 0.877400i | \(0.340724\pi\) | |||||||
\(504\) | −3.37634 | + | 18.0295i | −0.150394 | + | 0.803099i | ||||
\(505\) | 8.42188i | 0.374769i | ||||||||
\(506\) | −13.1423 | + | 13.5975i | −0.584244 | + | 0.604481i | ||||
\(507\) | 16.7425 | + | 36.8889i | 0.743562 | + | 1.63829i | ||||
\(508\) | −0.842001 | − | 3.96130i | −0.0373578 | − | 0.175754i | ||||
\(509\) | 22.8568 | − | 2.40235i | 1.01311 | − | 0.106482i | 0.416602 | − | 0.909089i | \(-0.363221\pi\) |
0.596509 | + | 0.802607i | \(0.296554\pi\) | |||||||
\(510\) | −18.3050 | + | 20.6258i | −0.810560 | + | 0.913327i | ||||
\(511\) | −2.51826 | − | 21.8646i | −0.111401 | − | 0.967232i | ||||
\(512\) | 2.33150 | + | 7.17561i | 0.103039 | + | 0.317120i | ||||
\(513\) | 2.40267 | + | 18.9269i | 0.106080 | + | 0.835645i | ||||
\(514\) | 6.29348 | − | 14.1354i | 0.277593 | − | 0.623485i | ||||
\(515\) | 2.67146 | + | 12.5682i | 0.117719 | + | 0.553823i | ||||
\(516\) | −1.25601 | − | 0.898834i | −0.0552929 | − | 0.0395690i | ||||
\(517\) | 20.2621 | + | 24.1685i | 0.891125 | + | 1.06293i | ||||
\(518\) | −1.24704 | + | 6.16800i | −0.0547916 | + | 0.271006i | ||||
\(519\) | −10.2498 | + | 23.4738i | −0.449916 | + | 1.03038i | ||||
\(520\) | −4.98380 | − | 47.4177i | −0.218554 | − | 2.07940i | ||||
\(521\) | −9.92762 | − | 1.04343i | −0.434937 | − | 0.0457137i | −0.115470 | − | 0.993311i | \(-0.536837\pi\) |
−0.319467 | + | 0.947597i | \(0.603504\pi\) | |||||||
\(522\) | 19.2719 | − | 14.4294i | 0.843509 | − | 0.631557i | ||||
\(523\) | −3.67404 | + | 17.2850i | −0.160654 | + | 0.755820i | 0.821868 | + | 0.569678i | \(0.192932\pi\) |
−0.982523 | + | 0.186142i | \(0.940401\pi\) | |||||||
\(524\) | 3.17635 | + | 2.30775i | 0.138759 | + | 0.100815i | ||||
\(525\) | −20.1425 | + | 23.1563i | −0.879091 | + | 1.01063i | ||||
\(526\) | −13.7540 | + | 42.3305i | −0.599703 | + | 1.84570i | ||||
\(527\) | 6.60752 | − | 11.4446i | 0.287828 | − | 0.498533i | ||||
\(528\) | −3.65385 | + | 27.3365i | −0.159013 | + | 1.18967i | ||||
\(529\) | −5.13524 | − | 8.89450i | −0.223271 | − | 0.386717i | ||||
\(530\) | −25.7854 | − | 28.6376i | −1.12005 | − | 1.24394i | ||||
\(531\) | 0.164622 | + | 0.355898i | 0.00714401 | + | 0.0154447i | ||||
\(532\) | 5.25193 | − | 1.17107i | 0.227700 | − | 0.0507723i | ||||
\(533\) | 3.54528 | − | 1.15193i | 0.153563 | − | 0.0498957i | ||||
\(534\) | −10.1512 | + | 32.0231i | −0.439286 | + | 1.38577i | ||||
\(535\) | −38.9150 | − | 4.09014i | −1.68244 | − | 0.176832i | ||||
\(536\) | −2.56074 | − | 1.14012i | −0.110607 | − | 0.0492455i | ||||
\(537\) | −35.0325 | + | 25.8391i | −1.51177 | + | 1.11504i | ||||
\(538\) | − | 10.3870i | − | 0.447815i | ||||||
\(539\) | −19.9244 | − | 11.9172i | −0.858204 | − | 0.513308i | ||||
\(540\) | −2.83946 | + | 9.42536i | −0.122191 | + | 0.405603i | ||||
\(541\) | 23.8537 | − | 21.4780i | 1.02555 | − | 0.923410i | 0.0284572 | − | 0.999595i | \(-0.490941\pi\) |
0.997094 | + | 0.0761848i | \(0.0242739\pi\) | |||||||
\(542\) | 16.5379 | − | 37.1447i | 0.710363 | − | 1.59550i | ||||
\(543\) | 1.34654 | − | 6.56654i | 0.0577854 | − | 0.281797i | ||||
\(544\) | −8.69187 | − | 1.84751i | −0.372661 | − | 0.0792115i | ||||
\(545\) | −6.12344 | − | 18.8460i | −0.262299 | − | 0.807275i | ||||
\(546\) | 43.8494 | − | 5.36979i | 1.87658 | − | 0.229806i | ||||
\(547\) | 6.93820 | + | 9.54961i | 0.296656 | + | 0.408312i | 0.931162 | − | 0.364606i | \(-0.118796\pi\) |
−0.634506 | + | 0.772918i | \(0.718796\pi\) | |||||||
\(548\) | 1.38474 | − | 1.24683i | 0.0591533 | − | 0.0532618i | ||||
\(549\) | −21.3490 | + | 7.27741i | −0.911153 | + | 0.310592i | ||||
\(550\) | −21.8666 | + | 27.9631i | −0.932395 | + | 1.19235i | ||||
\(551\) | 15.9678 | + | 9.21904i | 0.680253 | + | 0.392744i | ||||
\(552\) | 13.0879 | + | 5.71483i | 0.557060 | + | 0.243240i | ||||
\(553\) | 17.8656 | + | 12.7105i | 0.759724 | + | 0.540505i | ||||
\(554\) | −3.04451 | + | 4.19042i | −0.129349 | + | 0.178034i | ||||
\(555\) | 2.66415 | − | 8.40434i | 0.113087 | − | 0.356745i | ||||
\(556\) | 8.20561 | + | 7.38836i | 0.347995 | + | 0.313336i | ||||
\(557\) | 4.29708 | − | 40.8840i | 0.182073 | − | 1.73231i | −0.397684 | − | 0.917523i | \(-0.630186\pi\) |
0.579757 | − | 0.814789i | \(-0.303147\pi\) | |||||||
\(558\) | 1.96247 | − | 21.6608i | 0.0830781 | − | 0.916974i | ||||
\(559\) | 3.00093 | − | 9.23592i | 0.126926 | − | 0.390638i | ||||
\(560\) | −42.5819 | − | 8.60913i | −1.79941 | − | 0.363802i | ||||
\(561\) | 13.2558 | + | 10.2132i | 0.559662 | + | 0.431202i | ||||
\(562\) | −15.4644 | + | 26.7851i | −0.652325 | + | 1.12986i | ||||
\(563\) | 25.6834 | − | 5.45917i | 1.08243 | − | 0.230077i | 0.368027 | − | 0.929815i | \(-0.380033\pi\) |
0.714399 | + | 0.699738i | \(0.246700\pi\) | |||||||
\(564\) | −4.50466 | + | 7.93336i | −0.189680 | + | 0.334055i | ||||
\(565\) | −3.05652 | + | 1.36085i | −0.128589 | + | 0.0572514i | ||||
\(566\) | −15.5836 | + | 5.06342i | −0.655027 | + | 0.212831i | ||||
\(567\) | 22.9140 | + | 6.47693i | 0.962296 | + | 0.272006i | ||||
\(568\) | −2.19602 | + | 3.02256i | −0.0921428 | + | 0.126824i | ||||
\(569\) | −2.14453 | − | 20.4039i | −0.0899035 | − | 0.855374i | −0.942814 | − | 0.333318i | \(-0.891832\pi\) |
0.852911 | − | 0.522056i | \(-0.174835\pi\) | |||||||
\(570\) | −34.5423 | + | 3.88160i | −1.44682 | + | 0.162582i | ||||
\(571\) | 10.8957 | − | 6.29063i | 0.455970 | − | 0.263255i | −0.254378 | − | 0.967105i | \(-0.581871\pi\) |
0.710348 | + | 0.703850i | \(0.248537\pi\) | |||||||
\(572\) | 10.9144 | − | 1.91966i | 0.456355 | − | 0.0802651i | ||||
\(573\) | 2.65981 | − | 27.1834i | 0.111115 | − | 1.13560i | ||||
\(574\) | −0.0259981 | − | 2.61270i | −0.00108514 | − | 0.109052i | ||||
\(575\) | 14.0451 | + | 19.3315i | 0.585723 | + | 0.806178i | ||||
\(576\) | 13.8275 | − | 3.14740i | 0.576147 | − | 0.131142i | ||||
\(577\) | −0.0361146 | + | 0.0401093i | −0.00150347 | + | 0.00166977i | −0.743896 | − | 0.668295i | \(-0.767024\pi\) |
0.742393 | + | 0.669965i | \(0.233691\pi\) | |||||||
\(578\) | 9.10467 | − | 10.1118i | 0.378704 | − | 0.420594i | ||||
\(579\) | 1.32857 | + | 3.99114i | 0.0552134 | + | 0.165866i | ||||
\(580\) | 5.59171 | + | 7.69632i | 0.232183 | + | 0.319572i | ||||
\(581\) | 18.9236 | − | 11.1781i | 0.785083 | − | 0.463744i | ||||
\(582\) | 35.6280 | + | 3.48610i | 1.47683 | + | 0.144504i | ||||
\(583\) | −16.2510 | + | 16.8139i | −0.673046 | + | 0.696359i | ||||
\(584\) | −16.6488 | + | 9.61219i | −0.688932 | + | 0.397755i | ||||
\(585\) | −61.8876 | + | 0.889149i | −2.55874 | + | 0.0367618i | ||||
\(586\) | −4.76591 | − | 45.3446i | −0.196878 | − | 1.87317i | ||||
\(587\) | 4.95439 | − | 6.81914i | 0.204490 | − | 0.281456i | −0.694438 | − | 0.719552i | \(-0.744347\pi\) |
0.898928 | + | 0.438096i | \(0.144347\pi\) | |||||||
\(588\) | 1.21788 | − | 6.60441i | 0.0502246 | − | 0.272361i | ||||
\(589\) | 15.8417 | − | 5.14728i | 0.652746 | − | 0.212090i | ||||
\(590\) | −0.652653 | + | 0.290580i | −0.0268693 | + | 0.0119630i | ||||
\(591\) | −39.8983 | − | 22.6548i | −1.64120 | − | 0.931892i | ||||
\(592\) | 6.98922 | − | 1.48560i | 0.287255 | − | 0.0610579i | ||||
\(593\) | −17.9438 | + | 31.0796i | −0.736865 | + | 1.27629i | 0.217035 | + | 0.976164i | \(0.430361\pi\) |
−0.953900 | + | 0.300124i | \(0.902972\pi\) | |||||||
\(594\) | 26.8577 | + | 6.09699i | 1.10199 | + | 0.250163i | ||||
\(595\) | −17.4421 | + | 19.7634i | −0.715056 | + | 0.810219i | ||||
\(596\) | −0.961411 | + | 2.95892i | −0.0393809 | + | 0.121202i | ||||
\(597\) | −0.212512 | − | 29.5846i | −0.00869755 | − | 1.21082i | ||||
\(598\) | 3.59523 | − | 34.2063i | 0.147020 | − | 1.39880i | ||||
\(599\) | 19.6203 | + | 17.6662i | 0.801663 | + | 0.721821i | 0.964285 | − | 0.264868i | \(-0.0853283\pi\) |
−0.162622 | + | 0.986689i | \(0.551995\pi\) | |||||||
\(600\) | 25.5546 | + | 8.10071i | 1.04326 | + | 0.330710i | ||||
\(601\) | −3.82108 | + | 5.25926i | −0.155865 | + | 0.214530i | −0.879807 | − | 0.475331i | \(-0.842328\pi\) |
0.723942 | + | 0.689861i | \(0.242328\pi\) | |||||||
\(602\) | −5.54634 | − | 3.94593i | −0.226052 | − | 0.160824i | ||||
\(603\) | −1.77394 | + | 3.17710i | −0.0722405 | + | 0.129382i | ||||
\(604\) | −2.20907 | − | 1.27541i | −0.0898860 | − | 0.0518957i | ||||
\(605\) | 31.1715 | + | 21.0645i | 1.26730 | + | 0.856395i | ||||
\(606\) | 2.81697 | + | 6.20664i | 0.114431 | + | 0.252128i | ||||
\(607\) | −7.86158 | + | 7.07860i | −0.319092 | + | 0.287311i | −0.813074 | − | 0.582161i | \(-0.802207\pi\) |
0.493982 | + | 0.869472i | \(0.335541\pi\) | |||||||
\(608\) | −6.58347 | − | 9.06137i | −0.266995 | − | 0.367487i | ||||
\(609\) | 18.3827 | − | 13.8431i | 0.744904 | − | 0.560952i | ||||
\(610\) | −12.6986 | − | 39.0822i | −0.514150 | − | 1.58239i | ||||
\(611\) | −56.1088 | − | 11.9263i | −2.26992 | − | 0.482486i | ||||
\(612\) | −1.42954 | + | 4.62471i | −0.0577859 | + | 0.186943i | ||||
\(613\) | −9.19291 | + | 20.6476i | −0.371298 | + | 0.833950i | 0.627184 | + | 0.778871i | \(0.284207\pi\) |
−0.998482 | + | 0.0550782i | \(0.982459\pi\) | |||||||
\(614\) | 4.51783 | − | 4.06787i | 0.182325 | − | 0.164166i | ||||
\(615\) | −0.356487 | + | 3.64330i | −0.0143749 | + | 0.146912i | ||||
\(616\) | −2.63098 | + | 20.1075i | −0.106005 | + | 0.810154i | ||||
\(617\) | − | 31.3056i | − | 1.26031i | −0.776468 | − | 0.630157i | \(-0.782990\pi\) | ||
0.776468 | − | 0.630157i | \(-0.217010\pi\) | |||||||
\(618\) | 6.17263 | + | 8.36882i | 0.248300 | + | 0.336643i | ||||
\(619\) | 36.1533 | + | 16.0965i | 1.45312 | + | 0.646973i | 0.973121 | − | 0.230294i | \(-0.0739687\pi\) |
0.480004 | + | 0.877267i | \(0.340635\pi\) | |||||||
\(620\) | 8.54712 | + | 0.898338i | 0.343260 | + | 0.0360781i | ||||
\(621\) | 8.92143 | − | 16.2513i | 0.358005 | − | 0.652143i | ||||
\(622\) | 13.3658 | − | 4.34280i | 0.535918 | − | 0.174130i | ||||
\(623\) | −9.61821 | + | 30.6357i | −0.385346 | + | 1.22739i | ||||
\(624\) | −25.3925 | − | 43.2604i | −1.01651 | − | 1.73180i | ||||
\(625\) | −9.12191 | − | 10.1309i | −0.364876 | − | 0.405236i | ||||
\(626\) | −7.94213 | − | 13.7562i | −0.317431 | − | 0.549807i | ||||
\(627\) | 3.80284 | + | 20.7468i | 0.151871 | + | 0.828547i | ||||
\(628\) | 3.85131 | − | 6.67066i | 0.153684 | − | 0.266188i | ||||
\(629\) | 1.33973 | − | 4.12327i | 0.0534186 | − | 0.164405i | ||||
\(630\) | −12.3988 | + | 41.5731i | −0.493981 | + | 1.65631i | ||||
\(631\) | 4.93760 | + | 3.58737i | 0.196563 | + | 0.142811i | 0.681713 | − | 0.731620i | \(-0.261235\pi\) |
−0.485151 | + | 0.874431i | \(0.661235\pi\) | |||||||
\(632\) | 3.98183 | − | 18.7330i | 0.158389 | − | 0.745160i | ||||
\(633\) | 0.335204 | + | 0.366946i | 0.0133232 | + | 0.0145848i | ||||
\(634\) | 31.5200 | + | 3.31288i | 1.25182 | + | 0.131571i | ||||
\(635\) | 2.61382 | + | 24.8688i | 0.103726 | + | 0.986888i | ||||
\(636\) | −6.19899 | − | 2.70678i | −0.245806 | − | 0.107331i | ||||
\(637\) | 41.8987 | − | 5.24863i | 1.66009 | − | 0.207958i | ||||
\(638\) | 20.3965 | − | 17.0997i | 0.807505 | − | 0.676985i | ||||
\(639\) | 3.65048 | + | 3.19315i | 0.144411 | + | 0.126319i | ||||
\(640\) | 9.71005 | + | 45.6822i | 0.383823 | + | 1.80575i | ||||
\(641\) | −6.83824 | + | 15.3589i | −0.270094 | + | 0.606641i | −0.996767 | − | 0.0803420i | \(-0.974399\pi\) |
0.726673 | + | 0.686983i | \(0.241065\pi\) | |||||||
\(642\) | −30.0472 | + | 10.0021i | −1.18587 | + | 0.394751i | ||||
\(643\) | 3.84764 | + | 11.8418i | 0.151736 | + | 0.466996i | 0.997816 | − | 0.0660611i | \(-0.0210432\pi\) |
−0.846080 | + | 0.533057i | \(0.821043\pi\) | |||||||
\(644\) | −4.79756 | − | 2.07906i | −0.189050 | − | 0.0819264i | ||||
\(645\) | 7.13274 | + | 6.33017i | 0.280851 | + | 0.249250i | ||||
\(646\) | −16.9992 | + | 1.78669i | −0.668826 | + | 0.0702965i | ||||
\(647\) | 0.000325622 | 0.00153193i | 1.28015e−5 | 6.02265e-5i | 0.978154 | − | 0.207882i | \(-0.0666569\pi\) | ||
−0.978141 | + | 0.207942i | \(0.933324\pi\) | |||||||
\(648\) | −2.76743 | − | 20.6140i | −0.108715 | − | 0.809795i | ||||
\(649\) | 0.203357 | + | 0.382857i | 0.00798248 | + | 0.0150285i | ||||
\(650\) | − | 64.5636i | − | 2.53239i | ||||||
\(651\) | 1.81851 | − | 20.7094i | 0.0712731 | − | 0.811665i | ||||
\(652\) | 6.09104 | − | 4.42540i | 0.238543 | − | 0.173312i | ||||
\(653\) | 9.29812 | + | 20.8839i | 0.363864 | + | 0.817251i | 0.998994 | + | 0.0448461i | \(0.0142797\pi\) |
−0.635130 | + | 0.772405i | \(0.719054\pi\) | |||||||
\(654\) | −10.8164 | − | 11.8407i | −0.422956 | − | 0.463008i | ||||
\(655\) | −18.0157 | − | 16.2214i | −0.703931 | − | 0.633822i | ||||
\(656\) | −2.71033 | + | 1.20672i | −0.105821 | + | 0.0471144i | ||||
\(657\) | 10.4770 | + | 22.6503i | 0.408746 | + | 0.883671i | ||||
\(658\) | −19.7557 | + | 35.0180i | −0.770158 | + | 1.36514i | ||||
\(659\) | 14.2004 | 0.553170 | 0.276585 | − | 0.960989i | \(-0.410797\pi\) | ||||
0.276585 | + | 0.960989i | \(0.410797\pi\) | |||||||
\(660\) | −2.56140 | + | 10.5770i | −0.0997025 | + | 0.411708i | ||||
\(661\) | −19.9636 | − | 34.5780i | −0.776494 | − | 1.34493i | −0.933951 | − | 0.357402i | \(-0.883663\pi\) |
0.157456 | − | 0.987526i | \(-0.449671\pi\) | |||||||
\(662\) | −35.3277 | + | 7.50914i | −1.37305 | + | 0.291851i | ||||
\(663\) | −30.4352 | + | 0.218622i | −1.18201 | + | 0.00849059i | ||||
\(664\) | −15.5312 | − | 11.2840i | −0.602726 | − | 0.437906i | ||||
\(665\) | −33.0066 | + | 3.80155i | −1.27994 | + | 0.147418i | ||||
\(666\) | −0.847715 | − | 7.08483i | −0.0328483 | − | 0.274532i | ||||
\(667\) | −7.28727 | − | 16.3675i | −0.282164 | − | 0.633752i | ||||
\(668\) | 3.75460 | + | 1.67165i | 0.145270 | + | 0.0646782i | ||||
\(669\) | 30.8232 | − | 3.46367i | 1.19169 | − | 0.133913i | ||||
\(670\) | −5.74134 | − | 3.31476i | −0.221807 | − | 0.128061i | ||||
\(671\) | −23.1241 | + | 9.33116i | −0.892696 | + | 0.360225i | ||||
\(672\) | −13.6217 | + | 3.14023i | −0.525469 | + | 0.121137i | ||||
\(673\) | −10.8584 | − | 3.52810i | −0.418560 | − | 0.135998i | 0.0921627 | − | 0.995744i | \(-0.470622\pi\) |
−0.510722 | + | 0.859746i | \(0.670622\pi\) | |||||||
\(674\) | 7.71982 | − | 0.811386i | 0.297356 | − | 0.0312534i | ||||
\(675\) | 13.4662 | − | 32.0893i | 0.518316 | − | 1.23512i | ||||
\(676\) | −8.66872 | + | 9.62759i | −0.333412 | + | 0.370292i | ||||
\(677\) | 45.1392 | + | 9.59463i | 1.73484 | + | 0.368752i | 0.963508 | − | 0.267681i | \(-0.0862573\pi\) |
0.771332 | + | 0.636432i | \(0.219591\pi\) | |||||||
\(678\) | −1.79737 | + | 2.02525i | −0.0690277 | + | 0.0777794i | ||||
\(679\) | 34.0638 | + | 3.23791i | 1.30725 | + | 0.124260i | ||||
\(680\) | 21.8973 | + | 7.11488i | 0.839725 | + | 0.272843i | ||||
\(681\) | 0.820137 | − | 1.14604i | 0.0314277 | − | 0.0439165i | ||||
\(682\) | 0.849509 | − | 24.0300i | 0.0325294 | − | 0.920155i | ||||
\(683\) | 40.7039 | − | 23.5004i | 1.55749 | − | 0.899217i | 0.559994 | − | 0.828497i | \(-0.310804\pi\) |
0.997496 | − | 0.0707202i | \(-0.0225298\pi\) | |||||||
\(684\) | −5.23958 | + | 3.12628i | −0.200340 | + | 0.119536i | ||||
\(685\) | −9.30807 | + | 6.76271i | −0.355643 | + | 0.258390i | ||||
\(686\) | 5.28678 | − | 29.1211i | 0.201850 | − | 1.11185i | ||||
\(687\) | −1.53065 | − | 6.95508i | −0.0583977 | − | 0.265353i | ||||
\(688\) | −1.60694 | + | 7.56008i | −0.0612642 | + | 0.288225i | ||||
\(689\) | 4.44566 | − | 42.2976i | 0.169366 | − | 1.61141i | ||||
\(690\) | 29.3717 | + | 16.6776i | 1.11816 | + | 0.634906i | ||||
\(691\) | −30.2795 | − | 33.6288i | −1.15189 | − | 1.27930i | −0.954245 | − | 0.299025i | \(-0.903339\pi\) |
−0.197641 | − | 0.980274i | \(-0.563328\pi\) | |||||||
\(692\) | −8.19130 | −0.311387 | ||||||||
\(693\) | 25.6877 | + | 5.75670i | 0.975797 | + | 0.218679i | ||||
\(694\) | 21.0906 | 0.800589 | ||||||||
\(695\) | −45.6200 | − | 50.6661i | −1.73046 | − | 1.92187i | ||||
\(696\) | −17.4792 | − | 9.92491i | −0.662548 | − | 0.376203i | ||||
\(697\) | −0.188165 | + | 1.79027i | −0.00712724 | + | 0.0678111i | ||||
\(698\) | −0.569758 | + | 2.68050i | −0.0215657 | + | 0.101458i | ||||
\(699\) | 8.75723 | + | 39.7919i | 0.331229 | + | 1.50507i | ||||
\(700\) | −9.36426 | − | 2.93995i | −0.353936 | − | 0.111120i | ||||
\(701\) | 2.49070 | − | 1.80960i | 0.0940723 | − | 0.0683475i | −0.539755 | − | 0.841822i | \(-0.681483\pi\) |
0.633827 | + | 0.773475i | \(0.281483\pi\) | |||||||
\(702\) | −45.3117 | + | 21.3556i | −1.71018 | + | 0.806014i | ||||
\(703\) | 4.73253 | − | 2.73232i | 0.178491 | − | 0.103052i | ||||
\(704\) | 15.0724 | − | 4.31493i | 0.568064 | − | 0.162625i | ||||
\(705\) | 32.7823 | − | 45.8093i | 1.23465 | − | 1.72528i | ||||
\(706\) | 19.8443 | + | 6.44779i | 0.746848 | + | 0.242666i | ||||
\(707\) | 2.70898 | + | 5.92509i | 0.101882 | + | 0.222836i | ||||
\(708\) | −0.0832386 | + | 0.0937920i | −0.00312830 | + | 0.00352492i | ||||
\(709\) | 28.6056 | + | 6.08031i | 1.07431 | + | 0.228351i | 0.710909 | − | 0.703284i | \(-0.248284\pi\) |
0.363397 | + | 0.931635i | \(0.381617\pi\) | |||||||
\(710\) | −5.91255 | + | 6.56655i | −0.221894 | + | 0.246438i | ||||
\(711\) | −23.7526 | − | 7.34214i | −0.890791 | − | 0.275352i | ||||
\(712\) | 27.8937 | − | 2.93174i | 1.04536 | − | 0.109872i | ||||
\(713\) | −15.3935 | − | 5.00166i | −0.576492 | − | 0.187314i | ||||
\(714\) | −6.24374 | + | 20.3990i | −0.233666 | + | 0.763413i | ||||
\(715\) | −68.2617 | + | 4.74378i | −2.55284 | + | 0.177407i | ||||
\(716\) | −12.0560 | − | 6.96055i | −0.450555 | − | 0.260128i | ||||
\(717\) | −14.1191 | + | 1.58659i | −0.527287 | + | 0.0592524i | ||||
\(718\) | 7.31512 | + | 3.25690i | 0.272998 | + | 0.121547i | ||||
\(719\) | −2.38660 | − | 5.36038i | −0.0890050 | − | 0.199908i | 0.863558 | − | 0.504249i | \(-0.168231\pi\) |
−0.952563 | + | 0.304340i | \(0.901564\pi\) | |||||||
\(720\) | 48.9113 | − | 5.85234i | 1.82282 | − | 0.218104i | ||||
\(721\) | 5.92217 | + | 7.98290i | 0.220553 | + | 0.297299i | ||||
\(722\) | 7.13472 | + | 5.18368i | 0.265527 | + | 0.192917i | ||||
\(723\) | −0.720872 | + | 0.00517818i | −0.0268095 | + | 0.000192578i | ||||
\(724\) | 2.09682 | − | 0.445693i | 0.0779277 | − | 0.0165640i | ||||
\(725\) | −16.8158 | − | 29.1258i | −0.624522 | − | 1.08170i | ||||
\(726\) | 30.0180 | + | 5.09755i | 1.11407 | + | 0.189188i | ||||
\(727\) | −38.9310 | −1.44387 | −0.721936 | − | 0.691960i | \(-0.756748\pi\) | ||||
−0.721936 | + | 0.691960i | \(0.756748\pi\) | |||||||
\(728\) | −18.7586 | − | 31.7569i | −0.695242 | − | 1.17699i | ||||
\(729\) | −26.9749 | + | 1.16330i | −0.999071 | + | 0.0430852i | ||||
\(730\) | −41.5365 | + | 18.4932i | −1.53733 | + | 0.684465i | ||||
\(731\) | 3.48503 | + | 3.13793i | 0.128898 | + | 0.116061i | ||||
\(732\) | −4.86491 | − | 5.32560i | −0.179812 | − | 0.196840i | ||||
\(733\) | −11.7513 | − | 26.3938i | −0.434043 | − | 0.974877i | −0.989659 | − | 0.143438i | \(-0.954184\pi\) |
0.555616 | − | 0.831439i | \(-0.312482\pi\) | |||||||
\(734\) | 12.4645 | − | 9.05602i | 0.460075 | − | 0.334264i | ||||
\(735\) | −11.7413 | + | 39.7699i | −0.433085 | + | 1.46694i | ||||
\(736\) | 10.8836i | 0.401174i | ||||||||
\(737\) | −1.76506 | + | 3.61495i | −0.0650167 | + | 0.133158i | ||||
\(738\) | 0.955900 | + | 2.80423i | 0.0351872 | + | 0.103225i | ||||
\(739\) | 5.47169 | + | 25.7423i | 0.201279 | + | 0.946946i | 0.956558 | + | 0.291542i | \(0.0941682\pi\) |
−0.755279 | + | 0.655404i | \(0.772498\pi\) | |||||||
\(740\) | 2.80406 | − | 0.294718i | 0.103079 | − | 0.0108341i | ||||
\(741\) | −28.6930 | − | 25.4645i | −1.05406 | − | 0.935462i | ||||
\(742\) | −27.3525 | − | 11.8534i | −1.00414 | − | 0.435154i | ||||
\(743\) | −5.62097 | − | 17.2996i | −0.206213 | − | 0.634660i | −0.999661 | − | 0.0260216i | \(-0.991716\pi\) |
0.793448 | − | 0.608638i | \(-0.208284\pi\) | |||||||
\(744\) | −17.2292 | + | 5.73525i | −0.631653 | + | 0.210265i | ||||
\(745\) | 7.81352 | − | 17.5494i | 0.286265 | − | 0.642962i | ||||
\(746\) | 1.29391 | + | 6.08738i | 0.0473735 | + | 0.222875i | ||||
\(747\) | −16.4078 | + | 18.7577i | −0.600328 | + | 0.686308i | ||||
\(748\) | −1.29688 | + | 5.19198i | −0.0474187 | + | 0.189838i | ||||
\(749\) | −28.6938 | + | 9.63985i | −1.04845 | + | 0.352233i | ||||
\(750\) | 14.7257 | + | 6.42997i | 0.537708 | + | 0.234789i | ||||
\(751\) | 4.66162 | + | 44.3524i | 0.170105 | + | 1.61844i | 0.663184 | + | 0.748456i | \(0.269205\pi\) |
−0.493079 | + | 0.869984i | \(0.664129\pi\) | |||||||
\(752\) | 45.4035 | + | 4.77210i | 1.65569 | + | 0.174020i | ||||
\(753\) | −21.9404 | − | 24.0180i | −0.799552 | − | 0.875266i | ||||
\(754\) | −10.0649 | + | 47.3518i | −0.366543 | + | 1.72445i | ||||
\(755\) | 12.7422 | + | 9.25774i | 0.463736 | + | 0.336924i | ||||
\(756\) | 1.03410 | + | 7.54442i | 0.0376098 | + | 0.274388i | ||||
\(757\) | −10.3811 | + | 31.9498i | −0.377308 | + | 1.16123i | 0.564600 | + | 0.825365i | \(0.309030\pi\) |
−0.941908 | + | 0.335870i | \(0.890970\pi\) | |||||||
\(758\) | 13.7492 | − | 23.8144i | 0.499394 | − | 0.864976i | ||||
\(759\) | 8.86014 | − | 18.4817i | 0.321603 | − | 0.670842i | ||||
\(760\) | 14.5105 | + | 25.1329i | 0.526351 | + | 0.911666i | ||||
\(761\) | −24.2352 | − | 26.9160i | −0.878527 | − | 0.975703i | 0.121330 | − | 0.992612i | \(-0.461284\pi\) |
−0.999857 | + | 0.0169092i | \(0.994617\pi\) | |||||||
\(762\) | 10.2445 | + | 17.4532i | 0.371118 | + | 0.632263i | ||||
\(763\) | −10.3701 | − | 11.2892i | −0.375422 | − | 0.408696i | ||||
\(764\) | 8.30720 | − | 2.69917i | 0.300544 | − | 0.0976526i | ||||
\(765\) | 11.7633 | − | 27.4765i | 0.425304 | − | 0.993416i | ||||
\(766\) | −1.44549 | − | 0.151927i | −0.0522277 | − | 0.00548935i | ||||
\(767\) | −0.720312 | − | 0.320703i | −0.0260089 | − | 0.0115799i | ||||
\(768\) | 12.7159 | + | 17.2402i | 0.458847 | + | 0.622101i | ||||
\(769\) | − | 25.0575i | − | 0.903598i | −0.892120 | − | 0.451799i | \(-0.850782\pi\) | ||
0.892120 | − | 0.451799i | \(-0.149218\pi\) | |||||||
\(770\) | −11.1594 | + | 46.6450i | −0.402156 | + | 1.68097i | ||||
\(771\) | −1.63311 | + | 16.6904i | −0.0588149 | + | 0.601089i | ||||
\(772\) | −0.999691 | + | 0.900125i | −0.0359797 | + | 0.0323962i | ||||
\(773\) | 3.64678 | − | 8.19081i | 0.131166 | − | 0.294603i | −0.836009 | − | 0.548716i | \(-0.815117\pi\) |
0.967175 | + | 0.254113i | \(0.0817835\pi\) | |||||||
\(774\) | 7.37391 | + | 2.27935i | 0.265050 | + | 0.0819294i | ||||
\(775\) | −29.7188 | − | 6.31692i | −1.06753 | − | 0.226911i | ||||
\(776\) | −9.23590 | − | 28.4252i | −0.331549 | − | 1.02040i | ||||
\(777\) | −0.829017 | − | 6.76971i | −0.0297408 | − | 0.242862i | ||||
\(778\) | 27.2367 | + | 37.4881i | 0.976483 | + | 1.34401i | ||||
\(779\) | −1.68618 | + | 1.51824i | −0.0604136 | + | 0.0543967i | ||||
\(780\) | −8.18045 | − | 18.0240i | −0.292907 | − | 0.645364i | ||||
\(781\) | 4.22377 | + | 3.30290i | 0.151138 | + | 0.118187i | ||||
\(782\) | 14.3841 | + | 8.30465i | 0.514374 | + | 0.296974i | ||||
\(783\) | −14.8788 | + | 21.4354i | −0.531724 | + | 0.766040i | ||||
\(784\) | −32.7271 | + | 7.64005i | −1.16882 | + | 0.272859i | ||||
\(785\) | −27.9553 | + | 38.4771i | −0.997766 | + | 1.37331i | ||||
\(786\) | −18.7027 | − | 5.92870i | −0.667104 | − | 0.211470i | ||||
\(787\) | 2.96019 | + | 2.66537i | 0.105520 | + | 0.0950102i | 0.720202 | − | 0.693765i | \(-0.244049\pi\) |
−0.614682 | + | 0.788775i | \(0.710716\pi\) | |||||||
\(788\) | 1.53373 | − | 14.5924i | 0.0546368 | − | 0.519834i | ||||
\(789\) | −0.346507 | − | 48.2385i | −0.0123360 | − | 1.71734i | ||||
\(790\) | 13.9969 | − | 43.0782i | 0.497989 | − | 1.53265i | ||||
\(791\) | −1.71264 | + | 1.94057i | −0.0608945 | + | 0.0689986i | ||||
\(792\) | −4.30805 | − | 22.5869i | −0.153080 | − | 0.802592i | ||||
\(793\) | 22.6767 | − | 39.2773i | 0.805275 | − | 1.39478i | ||||
\(794\) | 8.51594 | − | 1.81012i | 0.302219 | − | 0.0642387i | ||||
\(795\) | 36.3194 | + | 20.6226i | 1.28812 | + | 0.731408i | ||||
\(796\) | 8.64337 | − | 3.84827i | 0.306356 | − | 0.136398i | ||||
\(797\) | −11.4434 | + | 3.71819i | −0.405346 | + | 0.131705i | −0.504592 | − | 0.863358i | \(-0.668357\pi\) |
0.0992458 | + | 0.995063i | \(0.468357\pi\) | |||||||
\(798\) | −23.0532 | + | 13.8417i | −0.816074 | + | 0.489992i | ||||
\(799\) | 16.2819 | − | 22.4101i | 0.576011 | − | 0.792812i | ||||
\(800\) | 2.13551 | + | 20.3180i | 0.0755017 | + | 0.718351i | ||||
\(801\) | −0.523046 | − | 36.4057i | −0.0184809 | − | 1.28633i | ||||
\(802\) | 40.0721 | − | 23.1356i | 1.41499 | − | 0.816947i | ||||
\(803\) | 12.9422 | + | 24.3660i | 0.456719 | + | 0.859857i | ||||
\(804\) | −1.15815 | − | 0.113322i | −0.0408448 | − | 0.00399655i | ||||
\(805\) | 28.1187 | + | 15.8634i | 0.991054 | + | 0.559112i | ||||
\(806\) | 25.7058 | + | 35.3809i | 0.905447 | + | 1.24624i | ||||
\(807\) | 3.55562 | + | 10.6814i | 0.125164 | + | 0.376003i | ||||
\(808\) | 3.80781 | − | 4.22900i | 0.133958 | − | 0.148776i | ||||
\(809\) | 19.8187 | − | 22.0109i | 0.696787 | − | 0.773861i | −0.286074 | − | 0.958208i | \(-0.592350\pi\) |
0.982861 | + | 0.184347i | \(0.0590170\pi\) | |||||||
\(810\) | −1.41319 | − | 49.1710i | −0.0496543 | − | 1.72769i | ||||
\(811\) | 9.94100 | + | 13.6826i | 0.349076 | + | 0.480461i | 0.947065 | − | 0.321043i | \(-0.104033\pi\) |
−0.597989 | + | 0.801504i | \(0.704033\pi\) | |||||||
\(812\) | 6.40956 | + | 3.61601i | 0.224932 | + | 0.126897i | ||||
\(813\) | −4.29145 | + | 43.8587i | −0.150508 | + | 1.53819i | ||||
\(814\) | −1.36647 | − | 7.76919i | −0.0478946 | − | 0.272310i | ||||
\(815\) | −40.2597 | + | 23.2440i | −1.41024 | + | 0.814200i | ||||
\(816\) | 24.0719 | − | 2.70501i | 0.842685 | − | 0.0946945i | ||||
\(817\) | 0.617866 | + | 5.87861i | 0.0216164 | + | 0.205666i | ||||
\(818\) | −14.0429 | + | 19.3284i | −0.490997 | + | 0.675800i | ||||
\(819\) | −43.2541 | + | 20.5323i | −1.51142 | + | 0.717457i | ||||
\(820\) | −1.11339 | + | 0.361762i | −0.0388812 | + | 0.0126333i | ||||
\(821\) | −8.85987 | + | 3.94467i | −0.309212 | + | 0.137670i | −0.555475 | − | 0.831533i | \(-0.687464\pi\) |
0.246264 | + | 0.969203i | \(0.420797\pi\) | |||||||
\(822\) | −4.59773 | + | 8.09727i | −0.160364 | + | 0.282425i | ||||
\(823\) | 35.4624 | − | 7.53777i | 1.23614 | − | 0.262750i | 0.456925 | − | 0.889505i | \(-0.348951\pi\) |
0.779216 | + | 0.626755i | \(0.215617\pi\) | |||||||
\(824\) | 4.34106 | − | 7.51893i | 0.151228 | − | 0.261935i | ||||
\(825\) | 12.9142 | − | 36.2410i | 0.449614 | − | 1.26175i | ||||
\(826\) | −0.365697 | + | 0.414366i | −0.0127242 | + | 0.0144176i | ||||
\(827\) | −6.09260 | + | 18.7511i | −0.211860 | + | 0.652039i | 0.787501 | + | 0.616313i | \(0.211374\pi\) |
−0.999362 | + | 0.0357262i | \(0.988626\pi\) | |||||||
\(828\) | 5.90458 | + | 0.534956i | 0.205198 | + | 0.0185910i | ||||
\(829\) | −4.89292 | + | 46.5530i | −0.169938 | + | 1.61685i | 0.494273 | + | 0.869307i | \(0.335434\pi\) |
−0.664211 | + | 0.747545i | \(0.731232\pi\) | |||||||
\(830\) | −33.7417 | − | 30.3811i | −1.17119 | − | 1.05454i | ||||
\(831\) | 1.69637 | − | 5.35137i | 0.0588463 | − | 0.185637i | ||||
\(832\) | −16.7608 | + | 23.0692i | −0.581076 | + | 0.799782i | ||||
\(833\) | −5.91404 | + | 19.5147i | −0.204909 | + | 0.676143i | ||||
\(834\) | −50.5673 | − | 22.0802i | −1.75100 | − | 0.764573i | ||||
\(835\) | −21.9771 | − | 12.6885i | −0.760549 | − | 0.439103i | ||||
\(836\) | −5.59375 | + | 3.76953i | −0.193464 | + | 0.130372i | ||||
\(837\) | 5.39671 | + | 22.9465i | 0.186538 | + | 0.793148i | ||||
\(838\) | 20.6691 | − | 18.6105i | 0.714002 | − | 0.642890i | ||||
\(839\) | −30.3648 | − | 41.7936i | −1.04831 | − | 1.44287i | −0.890265 | − | 0.455442i | \(-0.849481\pi\) |
−0.158044 | − | 0.987432i | \(-0.550519\pi\) | |||||||
\(840\) | 35.9517 | − | 4.40264i | 1.24045 | − | 0.151906i | ||||
\(841\) | −1.16904 | − | 3.59795i | −0.0403119 | − | 0.124067i | ||||
\(842\) | 8.00206 | + | 1.70089i | 0.275769 | + | 0.0586165i | ||||
\(843\) | 6.73376 | − | 32.8379i | 0.231923 | − | 1.13100i | ||||
\(844\) | −0.0646469 | + | 0.145199i | −0.00222524 | + | 0.00499796i | ||||
\(845\) | 59.4462 | − | 53.5256i | 2.04501 | − | 1.84134i | ||||
\(846\) | 8.83704 | − | 44.7250i | 0.303824 | − | 1.53768i | ||||
\(847\) | 28.7059 | + | 4.79303i | 0.986345 | + | 0.164690i | ||||
\(848\) | 33.8493i | 1.16239i | ||||||||
\(849\) | 14.2920 | − | 10.5414i | 0.490501 | − | 0.361781i | ||||
\(850\) | 28.4824 | + | 12.6812i | 0.976939 | + | 0.434961i | ||||
\(851\) | −5.28096 | − | 0.555051i | −0.181029 | − | 0.0190269i | ||||
\(852\) | −0.468681 | + | 1.47851i | −0.0160568 | + | 0.0506528i | ||||
\(853\) | 22.6890 | − | 7.37211i | 0.776857 | − | 0.252416i | 0.106360 | − | 0.994328i | \(-0.466081\pi\) |
0.670498 | + | 0.741911i | \(0.266081\pi\) | |||||||
\(854\) | −21.5051 | − | 23.4111i | −0.735889 | − | 0.801111i | ||||
\(855\) | 34.1927 | − | 15.8160i | 1.16936 | − | 0.540895i | ||||
\(856\) | 17.6917 | + | 19.6486i | 0.604690 | + | 0.671576i | ||||
\(857\) | 10.1769 | + | 17.6269i | 0.347637 | + | 0.602125i | 0.985829 | − | 0.167752i | \(-0.0536508\pi\) |
−0.638192 | + | 0.769877i | \(0.720318\pi\) | |||||||
\(858\) | −48.7199 | + | 26.3283i | −1.66327 | + | 0.898834i | ||||
\(859\) | 18.6920 | − | 32.3754i | 0.637762 | − | 1.10464i | −0.348161 | − | 0.937435i | \(-0.613194\pi\) |
0.985923 | − | 0.167201i | \(-0.0534728\pi\) | |||||||
\(860\) | −0.942437 | + | 2.90052i | −0.0321368 | + | 0.0989070i | ||||
\(861\) | 0.921103 | + | 2.67786i | 0.0313911 | + | 0.0912612i | ||||
\(862\) | 8.39094 | + | 6.09638i | 0.285797 | + | 0.207643i | ||||
\(863\) | −6.20425 | + | 29.1887i | −0.211195 | + | 0.993594i | 0.736997 | + | 0.675896i | \(0.236243\pi\) |
−0.948192 | + | 0.317698i | \(0.897090\pi\) | |||||||
\(864\) | 13.5531 | − | 8.21929i | 0.461087 | − | 0.279626i | ||||
\(865\) | 50.3007 | + | 5.28681i | 1.71027 | + | 0.179757i | ||||
\(866\) | 6.50944 | + | 61.9332i | 0.221200 | + | 2.10458i | ||||
\(867\) | −5.90133 | + | 13.5150i | −0.200420 | + | 0.458995i | ||||
\(868\) | 6.30216 | − | 2.11725i | 0.213909 | − | 0.0718642i | ||||
\(869\) | −26.6661 | − | 6.66080i | −0.904584 | − | 0.225952i | ||||
\(870\) | −38.6598 | − | 27.6659i | −1.31069 | − | 0.937961i | ||||
\(871\) | −1.52125 | − | 7.15690i | −0.0515455 | − | 0.242502i | ||||
\(872\) | −5.44606 | + | 12.2320i | −0.184427 | + | 0.414229i | ||||
\(873\) | −37.8312 | + | 8.61110i | −1.28039 | + | 0.291442i | ||||
\(874\) | 6.46935 | + | 19.9106i | 0.218829 | + | 0.673487i | ||||
\(875\) | 14.0924 | + | 6.10706i | 0.476411 | + | 0.206456i | ||||
\(876\) | −5.29751 | + | 5.96916i | −0.178986 | + | 0.201679i | ||||
\(877\) | −53.0019 | + | 5.57072i | −1.78975 | + | 0.188110i | −0.940479 | − | 0.339852i | \(-0.889623\pi\) |
−0.849268 | + | 0.527962i | \(0.822956\pi\) | |||||||
\(878\) | 7.10419 | + | 33.4226i | 0.239755 | + | 1.12796i | ||||
\(879\) | 20.4231 | + | 44.9984i | 0.688855 | + | 1.51776i | ||||
\(880\) | 53.6359 | − | 9.43364i | 1.80807 | − | 0.318008i | ||||
\(881\) | 43.5615i | 1.46762i | 0.679352 | + | 0.733812i | \(0.262261\pi\) | ||||
−0.679352 | + | 0.733812i | \(0.737739\pi\) | |||||||
\(882\) | 4.64939 | + | 33.2364i | 0.156553 | + | 1.11913i | ||||
\(883\) | 14.3648 | − | 10.4366i | 0.483413 | − | 0.351220i | −0.319233 | − | 0.947676i | \(-0.603425\pi\) |
0.802645 | + | 0.596456i | \(0.203425\pi\) | |||||||
\(884\) | −3.95892 | − | 8.89188i | −0.133153 | − | 0.299066i | ||||
\(885\) | 0.571682 | − | 0.522229i | 0.0192169 | − | 0.0175545i | ||||
\(886\) | −38.6915 | − | 34.8380i | −1.29987 | − | 1.17040i | ||||
\(887\) | −8.14541 | + | 3.62657i | −0.273496 | + | 0.121768i | −0.538902 | − | 0.842368i | \(-0.681161\pi\) |
0.265406 | + | 0.964137i | \(0.414494\pi\) | |||||||
\(888\) | −5.13767 | + | 3.01565i | −0.172409 | + | 0.101199i | ||||
\(889\) | 9.83821 | + | 16.6553i | 0.329963 | + | 0.558602i | ||||
\(890\) | 66.3343 | 2.22353 | ||||||||
\(891\) | −29.7061 | + | 2.92399i | −0.995191 | + | 0.0979574i | ||||
\(892\) | 4.95962 | + | 8.59032i | 0.166060 | + | 0.287625i | ||||
\(893\) | 34.1521 | − | 7.25925i | 1.14286 | − | 0.242922i | ||||
\(894\) | −0.111676 | − | 15.5468i | −0.00373501 | − | 0.519964i | ||||
\(895\) | 69.5405 | + | 50.5242i | 2.32448 | + | 1.68884i | ||||
\(896\) | 21.5255 | + | 29.0157i | 0.719116 | + | 0.969347i | ||||
\(897\) | 8.01221 | + | 36.4066i | 0.267520 | + | 1.21558i | ||||
\(898\) | 10.2507 | + | 23.0235i | 0.342071 | + | 0.768304i | ||||
\(899\) | 20.8114 | + | 9.26583i | 0.694099 | + | 0.309033i | ||||
\(900\) | 11.1279 | − | 0.159877i | 0.370931 | − | 0.00532922i | ||||
\(901\) | 17.7865 | + | 10.2691i | 0.592555 | + | 0.342112i | ||||
\(902\) | 1.22566 | + | 3.03739i | 0.0408101 | + | 0.101134i | ||||
\(903\) | 7.05429 | + | 2.15918i | 0.234752 | + | 0.0718531i | ||||
\(904\) | 2.15010 | + | 0.698611i | 0.0715113 | + | 0.0232354i | ||||
\(905\) | −13.1637 | + | 1.38356i | −0.437576 | + | 0.0459911i | ||||
\(906\) | 12.4871 | + | 2.56061i | 0.414857 | + | 0.0850706i | ||||
\(907\) | 20.5226 | − | 22.7927i | 0.681443 | − | 0.756819i | −0.298865 | − | 0.954295i | \(-0.596608\pi\) |
0.980308 | + | 0.197476i | \(0.0632746\pi\) | |||||||
\(908\) | 0.440834 | + | 0.0937021i | 0.0146296 | + | 0.00310961i | ||||
\(909\) | −5.02144 | − | 5.41827i | −0.166551 | − | 0.179713i | ||||
\(910\) | −36.2719 | − | 79.3339i | −1.20240 | − | 2.62989i | ||||
\(911\) | 50.1288 | + | 16.2879i | 1.66084 | + | 0.539641i | 0.981049 | − | 0.193762i | \(-0.0620690\pi\) |
0.679794 | + | 0.733403i | \(0.262069\pi\) | |||||||
\(912\) | 24.8296 | + | 17.7687i | 0.822190 | + | 0.588379i | ||||
\(913\) | −16.9717 | + | 21.7035i | −0.561681 | + | 0.718281i | ||||
\(914\) | 15.7506 | − | 9.09361i | 0.520983 | − | 0.300790i | ||||
\(915\) | 26.4369 | + | 35.8430i | 0.873978 | + | 1.18493i | ||||
\(916\) | 1.84249 | − | 1.33865i | 0.0608777 | − | 0.0442303i | ||||
\(917\) | −17.8924 | − | 5.61740i | −0.590861 | − | 0.185503i | ||||
\(918\) | −0.521226 | − | 24.1839i | −0.0172030 | − | 0.798188i | ||||
\(919\) | −2.83984 | + | 13.3604i | −0.0936778 | + | 0.440720i | 0.906164 | + | 0.422927i | \(0.138997\pi\) |
−0.999842 | + | 0.0177928i | \(0.994336\pi\) | |||||||
\(920\) | 2.94770 | − | 28.0455i | 0.0971827 | − | 0.924631i | ||||
\(921\) | −3.25339 | + | 5.72969i | −0.107203 | + | 0.188800i | ||||
\(922\) | −37.0625 | − | 41.1621i | −1.22059 | − | 1.35560i | ||||
\(923\) | −9.75218 | −0.320997 | ||||||||
\(924\) | 1.60015 | + | 8.26518i | 0.0526411 | + | 0.271905i | ||||
\(925\) | −9.96767 | −0.327735 | ||||||||
\(926\) | 12.3606 | + | 13.7278i | 0.406194 | + | 0.451124i | ||||
\(927\) | −9.21236 | − | 6.49304i | −0.302574 | − | 0.213259i | ||||
\(928\) | 1.60120 | − | 15.2344i | 0.0525621 | − | 0.500095i | ||||
\(929\) | 1.00029 | − | 4.70600i | 0.0328185 | − | 0.154399i | −0.958687 | − | 0.284463i | \(-0.908185\pi\) |
0.991506 | + | 0.130064i | \(0.0415182\pi\) | |||||||
\(930\) | −41.9432 | + | 9.23068i | −1.37537 | + | 0.302686i | ||||
\(931\) | −21.9985 | + | 13.2914i | −0.720972 | + | 0.435609i | ||||
\(932\) | −10.5414 | + | 7.65878i | −0.345295 | + | 0.250872i | ||||
\(933\) | −12.2580 | + | 9.04120i | −0.401309 | + | 0.295995i | ||||
\(934\) | −57.4457 | + | 33.1663i | −1.87968 | + | 1.08523i | ||||
\(935\) | 11.3148 | − | 31.0456i | 0.370034 | − | 1.01530i | ||||
\(936\) | 31.4785 | + | 27.5349i | 1.02891 | + | 0.900008i | ||||
\(937\) | −41.8925 | − | 13.6117i | −1.36857 | − | 0.444675i | −0.469674 | − | 0.882840i | \(-0.655628\pi\) |
−0.898894 | + | 0.438165i | \(0.855628\pi\) | |||||||
\(938\) | −5.10546 | − | 0.485296i | −0.166699 | − | 0.0158455i | ||||
\(939\) | 12.8762 | + | 11.4274i | 0.420198 | + | 0.372918i | ||||
\(940\) | 17.6209 | + | 3.74543i | 0.574729 | + | 0.122162i | ||||
\(941\) | −22.5357 | + | 25.0284i | −0.734643 | + | 0.815903i | −0.988481 | − | 0.151343i | \(-0.951640\pi\) |
0.253839 | + | 0.967247i | \(0.418307\pi\) | |||||||
\(942\) | −7.73218 | + | 37.7069i | −0.251928 | + | 1.22856i | ||||
\(943\) | 2.19271 | − | 0.230463i | 0.0714044 | − | 0.00750490i | ||||
\(944\) | 0.596822 | + | 0.193919i | 0.0194249 | + | 0.00631153i | ||||
\(945\) | −1.48084 | − | 46.9958i | −0.0481716 | − | 1.52877i | ||||
\(946\) | 8.27840 | + | 2.06782i | 0.269154 | + | 0.0672308i | ||||
\(947\) | 33.7549 | + | 19.4884i | 1.09689 | + | 0.633288i | 0.935401 | − | 0.353588i | \(-0.115038\pi\) |
0.161485 | + | 0.986875i | \(0.448372\pi\) | |||||||
\(948\) | −0.887844 | − | 7.90092i | −0.0288358 | − | 0.256610i | ||||
\(949\) | −45.8424 | − | 20.4104i | −1.48811 | − | 0.662548i | ||||
\(950\) | 15.9841 | + | 35.9008i | 0.518591 | + | 1.16478i | ||||
\(951\) | −33.5474 | + | 7.38298i | −1.08785 | + | 0.239410i | ||||
\(952\) | 17.6941 | − | 2.03793i | 0.573470 | − | 0.0660496i | ||||
\(953\) | 44.1308 | + | 32.0629i | 1.42954 | + | 1.03862i | 0.990103 | + | 0.140346i | \(0.0448213\pi\) |
0.439435 | + | 0.898274i | \(0.355179\pi\) | |||||||
\(954\) | 33.6640 | + | 3.04997i | 1.08991 | + | 0.0987465i | ||||
\(955\) | −52.7545 | + | 11.2133i | −1.70709 | + | 0.362854i | ||||
\(956\) | −2.27184 | − | 3.93494i | −0.0734765 | − | 0.127265i | ||||
\(957\) | −15.1211 | + | 24.5664i | −0.488796 | + | 0.794120i | ||||
\(958\) | −3.50328 | −0.113186 | ||||||||
\(959\) | −4.37327 | + | 7.75184i | −0.141220 | + | 0.250320i | ||||
\(960\) | −14.1750 | − | 24.1496i | −0.457498 | − | 0.779426i | ||||
\(961\) | −9.51890 | + | 4.23809i | −0.307061 | + | 0.136713i | ||||
\(962\) | 10.6623 | + | 9.60040i | 0.343767 | + | 0.309529i | ||||
\(963\) | 27.4749 | − | 20.5712i | 0.885368 | − | 0.662897i | ||||
\(964\) | −0.0937689 | − | 0.210608i | −0.00302009 | − | 0.00678324i | ||||
\(965\) | 6.71980 | − | 4.88222i | 0.216318 | − | 0.157164i | ||||
\(966\) | 26.0286 | + | 2.28559i | 0.837455 | + | 0.0735378i | ||||
\(967\) | 21.1026i | 0.678615i | 0.940676 | + | 0.339308i | \(0.110193\pi\) | ||||
−0.940676 | + | 0.339308i | \(0.889807\pi\) | |||||||
\(968\) | −6.12863 | − | 24.6711i | −0.196982 | − | 0.792960i | ||||
\(969\) | 16.8695 | − | 7.65643i | 0.541925 | − | 0.245960i | ||||
\(970\) | −14.6968 | − | 69.1430i | −0.471886 | − | 2.22005i | ||||
\(971\) | −1.82364 | + | 0.191673i | −0.0585235 | + | 0.00615107i | −0.133745 | − | 0.991016i | \(-0.542700\pi\) |
0.0752215 | + | 0.997167i | \(0.476034\pi\) | |||||||
\(972\) | −3.79297 | − | 7.75686i | −0.121659 | − | 0.248801i | ||||
\(973\) | −48.3925 | − | 20.9713i | −1.55139 | − | 0.672309i | ||||
\(974\) | −10.4791 | − | 32.2512i | −0.335771 | − | 1.03340i | ||||
\(975\) | 22.1011 | + | 66.3936i | 0.707801 | + | 2.12630i | ||||
\(976\) | −14.6816 | + | 32.9753i | −0.469945 | + | 1.05551i | ||||
\(977\) | 3.68308 | + | 17.3275i | 0.117832 | + | 0.554357i | 0.996970 | + | 0.0777890i | \(0.0247860\pi\) |
−0.879138 | + | 0.476568i | \(0.841881\pi\) | |||||||
\(978\) | −21.8954 | + | 30.5962i | −0.700137 | + | 0.978358i | ||||
\(979\) | −2.79055 | − | 40.1553i | −0.0891864 | − | 1.28337i | ||||
\(980\) | −13.1582 | + | 1.64832i | −0.420324 | + | 0.0526538i | ||||
\(981\) | 15.1763 | + | 8.47369i | 0.484540 | + | 0.270544i | ||||
\(982\) | 0.223712 | + | 2.12848i | 0.00713894 | + | 0.0679225i | ||||
\(983\) | −28.3303 | − | 2.97763i | −0.903595 | − | 0.0949717i | −0.358678 | − | 0.933461i | \(-0.616772\pi\) |
−0.544917 | + | 0.838490i | \(0.683439\pi\) | |||||||
\(984\) | 1.82627 | − | 1.66829i | 0.0582192 | − | 0.0531830i | ||||
\(985\) | −18.8365 | + | 88.6186i | −0.600180 | + | 2.82362i | ||||
\(986\) | −18.9125 | − | 13.7407i | −0.602297 | − | 0.437594i | ||||
\(987\) | 8.32848 | − | 42.7732i | 0.265098 | − | 1.36149i | ||||
\(988\) | 3.79117 | − | 11.6680i | 0.120613 | − | 0.371209i | ||||
\(989\) | 2.87188 | − | 4.97424i | 0.0913204 | − | 0.158172i | ||||
\(990\) | −4.54918 | − | 54.1924i | −0.144582 | − | 1.72235i | ||||
\(991\) | 15.2481 | + | 26.4105i | 0.484373 | + | 0.838959i | 0.999839 | − | 0.0179515i | \(-0.00571446\pi\) |
−0.515466 | + | 0.856910i | \(0.672381\pi\) | |||||||
\(992\) | −9.25982 | − | 10.2841i | −0.294000 | − | 0.326520i | ||||
\(993\) | 33.7586 | − | 19.8152i | 1.07130 | − | 0.628816i | ||||
\(994\) | −2.04749 | + | 6.52163i | −0.0649425 | + | 0.206854i | ||||
\(995\) | −55.5604 | + | 18.0527i | −1.76138 | + | 0.572308i | ||||
\(996\) | −7.59718 | − | 2.40828i | −0.240726 | − | 0.0763093i | ||||
\(997\) | −39.4227 | − | 4.14350i | −1.24853 | − | 0.131226i | −0.542895 | − | 0.839801i | \(-0.682672\pi\) |
−0.705636 | + | 0.708575i | \(0.749339\pi\) | |||||||
\(998\) | −35.6750 | − | 15.8835i | −1.12927 | − | 0.502784i | ||||
\(999\) | 3.29699 | + | 6.99546i | 0.104312 | + | 0.221326i |
(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 | 231.2.be.a.2.7 | ✓ | 224 | |
3.2 | odd | 2 | inner | 231.2.be.a.2.22 | yes | 224 | |
7.4 | even | 3 | inner | 231.2.be.a.200.22 | yes | 224 | |
11.6 | odd | 10 | inner | 231.2.be.a.149.7 | yes | 224 | |
21.11 | odd | 6 | inner | 231.2.be.a.200.7 | yes | 224 | |
33.17 | even | 10 | inner | 231.2.be.a.149.22 | yes | 224 | |
77.39 | odd | 30 | inner | 231.2.be.a.116.22 | yes | 224 | |
231.116 | even | 30 | inner | 231.2.be.a.116.7 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.be.a.2.7 | ✓ | 224 | 1.1 | even | 1 | trivial | |
231.2.be.a.2.22 | yes | 224 | 3.2 | odd | 2 | inner | |
231.2.be.a.116.7 | yes | 224 | 231.116 | even | 30 | inner | |
231.2.be.a.116.22 | yes | 224 | 77.39 | odd | 30 | inner | |
231.2.be.a.149.7 | yes | 224 | 11.6 | odd | 10 | inner | |
231.2.be.a.149.22 | yes | 224 | 33.17 | even | 10 | inner | |
231.2.be.a.200.7 | yes | 224 | 21.11 | odd | 6 | inner | |
231.2.be.a.200.22 | yes | 224 | 7.4 | even | 3 | inner |