Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(25,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 24]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.y (of order \(15\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 361.2 | ||
Character | \(\chi\) | \(=\) | 462.361 |
Dual form | 462.2.y.a.247.2 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.978148 | − | 0.207912i | 0.691655 | − | 0.147016i | ||||
\(3\) | 0.104528 | + | 0.994522i | 0.0603495 | + | 0.574187i | ||||
\(4\) | 0.913545 | − | 0.406737i | 0.456773 | − | 0.203368i | ||||
\(5\) | 1.00883 | − | 1.12042i | 0.451164 | − | 0.501068i | −0.474059 | − | 0.880493i | \(-0.657212\pi\) |
0.925222 | + | 0.379425i | \(0.123878\pi\) | |||||||
\(6\) | 0.309017 | + | 0.951057i | 0.126156 | + | 0.388267i | ||||
\(7\) | 0.191063 | + | 2.63884i | 0.0722150 | + | 0.997389i | ||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | −0.978148 | + | 0.207912i | −0.326049 | + | 0.0693039i | ||||
\(10\) | 0.753838 | − | 1.30569i | 0.238385 | − | 0.412894i | ||||
\(11\) | 1.15632 | + | 3.10853i | 0.348642 | + | 0.937256i | ||||
\(12\) | 0.500000 | + | 0.866025i | 0.144338 | + | 0.250000i | ||||
\(13\) | 1.02968 | − | 3.16903i | 0.285582 | − | 0.878932i | −0.700641 | − | 0.713514i | \(-0.747103\pi\) |
0.986224 | − | 0.165418i | \(-0.0528974\pi\) | |||||||
\(14\) | 0.735534 | + | 2.54145i | 0.196580 | + | 0.679232i | ||||
\(15\) | 1.21974 | + | 0.886190i | 0.314934 | + | 0.228813i | ||||
\(16\) | 0.669131 | − | 0.743145i | 0.167283 | − | 0.185786i | ||||
\(17\) | 0.990369 | + | 0.210509i | 0.240200 | + | 0.0510560i | 0.326438 | − | 0.945218i | \(-0.394151\pi\) |
−0.0862387 | + | 0.996275i | \(0.527485\pi\) | |||||||
\(18\) | −0.913545 | + | 0.406737i | −0.215325 | + | 0.0958687i | ||||
\(19\) | 3.90700 | + | 1.73951i | 0.896327 | + | 0.399070i | 0.802593 | − | 0.596527i | \(-0.203453\pi\) |
0.0937336 | + | 0.995597i | \(0.470120\pi\) | |||||||
\(20\) | 0.465898 | − | 1.43389i | 0.104178 | − | 0.320627i | ||||
\(21\) | −2.60442 | + | 0.465851i | −0.568330 | + | 0.101657i | ||||
\(22\) | 1.77735 | + | 2.80019i | 0.378931 | + | 0.597002i | ||||
\(23\) | −2.00031 | − | 3.46463i | −0.417093 | − | 0.722426i | 0.578553 | − | 0.815645i | \(-0.303618\pi\) |
−0.995646 | + | 0.0932192i | \(0.970284\pi\) | |||||||
\(24\) | 0.669131 | + | 0.743145i | 0.136586 | + | 0.151694i | ||||
\(25\) | 0.285040 | + | 2.71197i | 0.0570080 | + | 0.542395i | ||||
\(26\) | 0.348301 | − | 3.31387i | 0.0683075 | − | 0.649903i | ||||
\(27\) | −0.309017 | − | 0.951057i | −0.0594703 | − | 0.183031i | ||||
\(28\) | 1.24786 | + | 2.33299i | 0.235823 | + | 0.440894i | ||||
\(29\) | −7.79896 | − | 5.66628i | −1.44823 | − | 1.05220i | −0.986241 | − | 0.165316i | \(-0.947136\pi\) |
−0.461990 | − | 0.886885i | \(-0.652864\pi\) | |||||||
\(30\) | 1.37733 | + | 0.613227i | 0.251465 | + | 0.111959i | ||||
\(31\) | 2.09214 | + | 2.32356i | 0.375759 | + | 0.417323i | 0.901129 | − | 0.433551i | \(-0.142740\pi\) |
−0.525370 | + | 0.850874i | \(0.676073\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −2.97063 | + | 1.47491i | −0.517120 | + | 0.256749i | ||||
\(34\) | 1.01249 | 0.173641 | ||||||||
\(35\) | 3.14937 | + | 2.44808i | 0.532340 | + | 0.413801i | ||||
\(36\) | −0.809017 | + | 0.587785i | −0.134836 | + | 0.0979642i | ||||
\(37\) | 0.333372 | − | 3.17182i | 0.0548059 | − | 0.521444i | −0.932335 | − | 0.361594i | \(-0.882233\pi\) |
0.987141 | − | 0.159849i | \(-0.0511008\pi\) | |||||||
\(38\) | 4.18328 | + | 0.889184i | 0.678618 | + | 0.144245i | ||||
\(39\) | 3.25931 | + | 0.692787i | 0.521906 | + | 0.110935i | ||||
\(40\) | 0.157595 | − | 1.49942i | 0.0249180 | − | 0.237079i | ||||
\(41\) | 3.91586 | − | 2.84504i | 0.611555 | − | 0.444321i | −0.238406 | − | 0.971165i | \(-0.576625\pi\) |
0.849962 | + | 0.526845i | \(0.176625\pi\) | |||||||
\(42\) | −2.45065 | + | 0.997159i | −0.378143 | + | 0.153865i | ||||
\(43\) | −8.86848 | −1.35243 | −0.676215 | − | 0.736704i | \(-0.736381\pi\) | ||||
−0.676215 | + | 0.736704i | \(0.736381\pi\) | |||||||
\(44\) | 2.32070 | + | 2.36946i | 0.349858 | + | 0.357210i | ||||
\(45\) | −0.753838 | + | 1.30569i | −0.112376 | + | 0.194640i | ||||
\(46\) | −2.67693 | − | 2.97303i | −0.394692 | − | 0.438350i | ||||
\(47\) | 2.24405 | + | 0.999117i | 0.327329 | + | 0.145736i | 0.563821 | − | 0.825897i | \(-0.309331\pi\) |
−0.236492 | + | 0.971634i | \(0.575998\pi\) | |||||||
\(48\) | 0.809017 | + | 0.587785i | 0.116772 | + | 0.0848395i | ||||
\(49\) | −6.92699 | + | 1.00837i | −0.989570 | + | 0.144053i | ||||
\(50\) | 0.842662 | + | 2.59345i | 0.119170 | + | 0.366769i | ||||
\(51\) | −0.105834 | + | 1.00695i | −0.0148198 | + | 0.141001i | ||||
\(52\) | −0.348301 | − | 3.31387i | −0.0483007 | − | 0.459551i | ||||
\(53\) | −0.537502 | − | 0.596956i | −0.0738316 | − | 0.0819983i | 0.705097 | − | 0.709111i | \(-0.250903\pi\) |
−0.778929 | + | 0.627112i | \(0.784237\pi\) | |||||||
\(54\) | −0.500000 | − | 0.866025i | −0.0680414 | − | 0.117851i | ||||
\(55\) | 4.64939 | + | 1.84042i | 0.626924 | + | 0.248162i | ||||
\(56\) | 1.70565 | + | 2.02257i | 0.227927 | + | 0.270277i | ||||
\(57\) | −1.32159 | + | 4.06742i | −0.175048 | + | 0.538743i | ||||
\(58\) | −8.80662 | − | 3.92096i | −1.15637 | − | 0.514847i | ||||
\(59\) | 3.83960 | − | 1.70950i | 0.499874 | − | 0.222558i | −0.141281 | − | 0.989969i | \(-0.545122\pi\) |
0.641155 | + | 0.767411i | \(0.278456\pi\) | |||||||
\(60\) | 1.47473 | + | 0.313464i | 0.190387 | + | 0.0404680i | ||||
\(61\) | −3.49506 | + | 3.88165i | −0.447496 | + | 0.496995i | −0.924115 | − | 0.382116i | \(-0.875196\pi\) |
0.476619 | + | 0.879110i | \(0.341862\pi\) | |||||||
\(62\) | 2.52952 | + | 1.83780i | 0.321249 | + | 0.233401i | ||||
\(63\) | −0.735534 | − | 2.54145i | −0.0926686 | − | 0.320193i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −2.51188 | − | 4.35070i | −0.311560 | − | 0.539638i | ||||
\(66\) | −2.59906 | + | 2.06031i | −0.319923 | + | 0.253606i | ||||
\(67\) | −0.962822 | + | 1.66766i | −0.117627 | + | 0.203737i | −0.918827 | − | 0.394661i | \(-0.870862\pi\) |
0.801200 | + | 0.598397i | \(0.204196\pi\) | |||||||
\(68\) | 0.990369 | − | 0.210509i | 0.120100 | − | 0.0255280i | ||||
\(69\) | 3.23656 | − | 2.35150i | 0.389636 | − | 0.283087i | ||||
\(70\) | 3.58953 | + | 1.73979i | 0.429031 | + | 0.207945i | ||||
\(71\) | −3.87630 | − | 11.9300i | −0.460032 | − | 1.41583i | −0.865125 | − | 0.501557i | \(-0.832761\pi\) |
0.405093 | − | 0.914275i | \(-0.367239\pi\) | |||||||
\(72\) | −0.669131 | + | 0.743145i | −0.0788578 | + | 0.0875805i | ||||
\(73\) | −4.88516 | + | 2.17501i | −0.571765 | + | 0.254566i | −0.672190 | − | 0.740379i | \(-0.734646\pi\) |
0.100425 | + | 0.994945i | \(0.467980\pi\) | |||||||
\(74\) | −0.333372 | − | 3.17182i | −0.0387537 | − | 0.368716i | ||||
\(75\) | −2.66732 | + | 0.566957i | −0.307996 | + | 0.0654665i | ||||
\(76\) | 4.27674 | 0.490576 | ||||||||
\(77\) | −7.98198 | + | 3.64526i | −0.909632 | + | 0.415416i | ||||
\(78\) | 3.33212 | 0.377288 | ||||||||
\(79\) | −13.8458 | + | 2.94302i | −1.55778 | + | 0.331116i | −0.904658 | − | 0.426139i | \(-0.859874\pi\) |
−0.653120 | + | 0.757254i | \(0.726540\pi\) | |||||||
\(80\) | −0.157595 | − | 1.49942i | −0.0176197 | − | 0.167640i | ||||
\(81\) | 0.913545 | − | 0.406737i | 0.101505 | − | 0.0451930i | ||||
\(82\) | 3.23878 | − | 3.59703i | 0.357663 | − | 0.397225i | ||||
\(83\) | −3.24141 | − | 9.97604i | −0.355791 | − | 1.09501i | −0.955549 | − | 0.294832i | \(-0.904736\pi\) |
0.599758 | − | 0.800181i | \(-0.295264\pi\) | |||||||
\(84\) | −2.18977 | + | 1.48489i | −0.238924 | + | 0.162014i | ||||
\(85\) | 1.23498 | − | 0.897262i | 0.133952 | − | 0.0973218i | ||||
\(86\) | −8.67468 | + | 1.84386i | −0.935415 | + | 0.198829i | ||||
\(87\) | 4.82002 | − | 8.34852i | 0.516761 | − | 0.895056i | ||||
\(88\) | 2.76262 | + | 1.83519i | 0.294497 | + | 0.195631i | ||||
\(89\) | 2.34316 | + | 4.05847i | 0.248374 | + | 0.430197i | 0.963075 | − | 0.269234i | \(-0.0867704\pi\) |
−0.714701 | + | 0.699430i | \(0.753437\pi\) | |||||||
\(90\) | −0.465898 | + | 1.43389i | −0.0491099 | + | 0.151145i | ||||
\(91\) | 8.55932 | + | 2.11168i | 0.897260 | + | 0.221365i | ||||
\(92\) | −3.23656 | − | 2.35150i | −0.337435 | − | 0.245161i | ||||
\(93\) | −2.09214 | + | 2.32356i | −0.216945 | + | 0.240942i | ||||
\(94\) | 2.40274 | + | 0.510719i | 0.247824 | + | 0.0526766i | ||||
\(95\) | 5.89049 | − | 2.62261i | 0.604351 | − | 0.269075i | ||||
\(96\) | 0.913545 | + | 0.406737i | 0.0932383 | + | 0.0415124i | ||||
\(97\) | 0.904571 | − | 2.78398i | 0.0918452 | − | 0.282671i | −0.894573 | − | 0.446921i | \(-0.852521\pi\) |
0.986419 | + | 0.164250i | \(0.0525205\pi\) | |||||||
\(98\) | −6.56597 | + | 2.42654i | −0.663263 | + | 0.245117i | ||||
\(99\) | −1.77735 | − | 2.80019i | −0.178630 | − | 0.281429i | ||||
\(100\) | 1.36346 | + | 2.36157i | 0.136346 | + | 0.236157i | ||||
\(101\) | −12.5492 | − | 13.9373i | −1.24869 | − | 1.38681i | −0.891651 | − | 0.452723i | \(-0.850453\pi\) |
−0.357040 | − | 0.934089i | \(-0.616214\pi\) | |||||||
\(102\) | 0.105834 | + | 1.00695i | 0.0104792 | + | 0.0997027i | ||||
\(103\) | 1.18653 | − | 11.2890i | 0.116912 | − | 1.11234i | −0.766012 | − | 0.642826i | \(-0.777762\pi\) |
0.882924 | − | 0.469516i | \(-0.155572\pi\) | |||||||
\(104\) | −1.02968 | − | 3.16903i | −0.100969 | − | 0.310749i | ||||
\(105\) | −2.10547 | + | 3.38801i | −0.205473 | + | 0.330636i | ||||
\(106\) | −0.649871 | − | 0.472159i | −0.0631210 | − | 0.0458601i | ||||
\(107\) | −1.26321 | − | 0.562419i | −0.122120 | − | 0.0543711i | 0.344767 | − | 0.938688i | \(-0.387958\pi\) |
−0.466887 | + | 0.884317i | \(0.654624\pi\) | |||||||
\(108\) | −0.669131 | − | 0.743145i | −0.0643871 | − | 0.0715091i | ||||
\(109\) | −0.724913 | + | 1.25559i | −0.0694341 | + | 0.120263i | −0.898652 | − | 0.438662i | \(-0.855453\pi\) |
0.829218 | + | 0.558925i | \(0.188786\pi\) | |||||||
\(110\) | 4.93043 | + | 0.833540i | 0.470098 | + | 0.0794750i | ||||
\(111\) | 3.18929 | 0.302714 | ||||||||
\(112\) | 2.08889 | + | 1.62374i | 0.197381 | + | 0.153429i | ||||
\(113\) | 9.71078 | − | 7.05529i | 0.913513 | − | 0.663706i | −0.0283878 | − | 0.999597i | \(-0.509037\pi\) |
0.941901 | + | 0.335891i | \(0.109037\pi\) | |||||||
\(114\) | −0.447041 | + | 4.25331i | −0.0418692 | + | 0.398359i | ||||
\(115\) | −5.89982 | − | 1.25405i | −0.550161 | − | 0.116940i | ||||
\(116\) | −9.42939 | − | 2.00428i | −0.875497 | − | 0.186093i | ||||
\(117\) | −0.348301 | + | 3.31387i | −0.0322005 | + | 0.306367i | ||||
\(118\) | 3.40027 | − | 2.47044i | 0.313020 | − | 0.227423i | ||||
\(119\) | −0.366279 | + | 2.65365i | −0.0335767 | + | 0.243260i | ||||
\(120\) | 1.50768 | 0.137631 | ||||||||
\(121\) | −8.32587 | + | 7.18887i | −0.756897 | + | 0.653534i | ||||
\(122\) | −2.61164 | + | 4.52349i | −0.236447 | + | 0.409538i | ||||
\(123\) | 3.23878 | + | 3.59703i | 0.292031 | + | 0.324333i | ||||
\(124\) | 2.85634 | + | 1.27172i | 0.256507 | + | 0.114204i | ||||
\(125\) | 9.42479 | + | 6.84751i | 0.842979 | + | 0.612460i | ||||
\(126\) | −1.24786 | − | 2.33299i | −0.111168 | − | 0.207839i | ||||
\(127\) | 3.10501 | + | 9.55625i | 0.275525 | + | 0.847980i | 0.989080 | + | 0.147380i | \(0.0470841\pi\) |
−0.713555 | + | 0.700600i | \(0.752916\pi\) | |||||||
\(128\) | 0.104528 | − | 0.994522i | 0.00923910 | − | 0.0879041i | ||||
\(129\) | −0.927009 | − | 8.81990i | −0.0816186 | − | 0.776549i | ||||
\(130\) | −3.36155 | − | 3.73338i | −0.294827 | − | 0.327439i | ||||
\(131\) | −3.61343 | − | 6.25865i | −0.315707 | − | 0.546821i | 0.663880 | − | 0.747839i | \(-0.268908\pi\) |
−0.979588 | + | 0.201018i | \(0.935575\pi\) | |||||||
\(132\) | −2.11390 | + | 2.55566i | −0.183992 | + | 0.222442i | ||||
\(133\) | −3.84381 | + | 10.6423i | −0.333300 | + | 0.922805i | ||||
\(134\) | −0.595057 | + | 1.83140i | −0.0514051 | + | 0.158209i | ||||
\(135\) | −1.37733 | − | 0.613227i | −0.118542 | − | 0.0527782i | ||||
\(136\) | 0.924960 | − | 0.411819i | 0.0793146 | − | 0.0353131i | ||||
\(137\) | −2.14792 | − | 0.456554i | −0.183509 | − | 0.0390060i | 0.115240 | − | 0.993338i | \(-0.463236\pi\) |
−0.298749 | + | 0.954332i | \(0.596569\pi\) | |||||||
\(138\) | 2.67693 | − | 2.97303i | 0.227876 | − | 0.253081i | ||||
\(139\) | 15.6388 | + | 11.3622i | 1.32646 | + | 0.963732i | 0.999827 | + | 0.0185824i | \(0.00591529\pi\) |
0.326637 | + | 0.945150i | \(0.394085\pi\) | |||||||
\(140\) | 3.87282 | + | 0.955469i | 0.327313 | + | 0.0807518i | ||||
\(141\) | −0.759076 | + | 2.33620i | −0.0639258 | + | 0.196743i | ||||
\(142\) | −6.27198 | − | 10.8634i | −0.526333 | − | 0.911635i | ||||
\(143\) | 11.0417 | − | 0.463612i | 0.923350 | − | 0.0387692i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −14.2165 | + | 3.02180i | −1.18061 | + | 0.250947i | ||||
\(146\) | −4.32620 | + | 3.14317i | −0.358039 | + | 0.260130i | ||||
\(147\) | −1.72691 | − | 6.78364i | −0.142433 | − | 0.559505i | ||||
\(148\) | −0.985545 | − | 3.03319i | −0.0810113 | − | 0.249327i | ||||
\(149\) | −10.1875 | + | 11.3143i | −0.834591 | + | 0.926907i | −0.998221 | − | 0.0596145i | \(-0.981013\pi\) |
0.163630 | + | 0.986522i | \(0.447680\pi\) | |||||||
\(150\) | −2.49116 | + | 1.10913i | −0.203402 | + | 0.0905605i | ||||
\(151\) | 2.29811 | + | 21.8651i | 0.187018 | + | 1.77936i | 0.537972 | + | 0.842963i | \(0.319191\pi\) |
−0.350954 | + | 0.936393i | \(0.614143\pi\) | |||||||
\(152\) | 4.18328 | − | 0.889184i | 0.339309 | − | 0.0721224i | ||||
\(153\) | −1.01249 | −0.0818553 | ||||||||
\(154\) | −7.04967 | + | 5.22515i | −0.568078 | + | 0.421055i | ||||
\(155\) | 4.71398 | 0.378636 | ||||||||
\(156\) | 3.25931 | − | 0.692787i | 0.260953 | − | 0.0554673i | ||||
\(157\) | −0.270177 | − | 2.57056i | −0.0215625 | − | 0.205153i | 0.978437 | − | 0.206548i | \(-0.0662228\pi\) |
−0.999999 | + | 0.00139441i | \(0.999556\pi\) | |||||||
\(158\) | −12.9314 | + | 5.75742i | −1.02877 | + | 0.458036i | ||||
\(159\) | 0.537502 | − | 0.596956i | 0.0426267 | − | 0.0473417i | ||||
\(160\) | −0.465898 | − | 1.43389i | −0.0368324 | − | 0.113359i | ||||
\(161\) | 8.76043 | − | 5.94046i | 0.690419 | − | 0.468174i | ||||
\(162\) | 0.809017 | − | 0.587785i | 0.0635624 | − | 0.0461808i | ||||
\(163\) | 12.4039 | − | 2.63653i | 0.971548 | − | 0.206509i | 0.305314 | − | 0.952252i | \(-0.401239\pi\) |
0.666234 | + | 0.745743i | \(0.267905\pi\) | |||||||
\(164\) | 2.42014 | − | 4.19180i | 0.188981 | − | 0.327325i | ||||
\(165\) | −1.34434 | + | 4.81630i | −0.104657 | + | 0.374948i | ||||
\(166\) | −5.24472 | − | 9.08412i | −0.407069 | − | 0.705064i | ||||
\(167\) | −6.50788 | + | 20.0292i | −0.503595 | + | 1.54991i | 0.299525 | + | 0.954088i | \(0.403172\pi\) |
−0.803120 | + | 0.595817i | \(0.796828\pi\) | |||||||
\(168\) | −1.83320 | + | 1.90772i | −0.141434 | + | 0.147184i | ||||
\(169\) | 1.53469 | + | 1.11502i | 0.118053 | + | 0.0857704i | ||||
\(170\) | 1.02144 | − | 1.13442i | 0.0783406 | − | 0.0870061i | ||||
\(171\) | −4.18328 | − | 0.889184i | −0.319904 | − | 0.0679976i | ||||
\(172\) | −8.10176 | + | 3.60714i | −0.617754 | + | 0.275042i | ||||
\(173\) | 20.3804 | + | 9.07393i | 1.54949 | + | 0.689878i | 0.990272 | − | 0.139142i | \(-0.0444344\pi\) |
0.559219 | + | 0.829020i | \(0.311101\pi\) | |||||||
\(174\) | 2.97894 | − | 9.16823i | 0.225833 | − | 0.695042i | ||||
\(175\) | −7.10201 | + | 1.27033i | −0.536862 | + | 0.0960282i | ||||
\(176\) | 3.08381 | + | 1.22070i | 0.232451 | + | 0.0920137i | ||||
\(177\) | 2.10148 | + | 3.63988i | 0.157957 | + | 0.273590i | ||||
\(178\) | 3.13576 | + | 3.48261i | 0.235035 | + | 0.261033i | ||||
\(179\) | 0.446336 | + | 4.24660i | 0.0333607 | + | 0.317406i | 0.998458 | + | 0.0555141i | \(0.0176798\pi\) |
−0.965097 | + | 0.261892i | \(0.915654\pi\) | |||||||
\(180\) | −0.157595 | + | 1.49942i | −0.0117464 | + | 0.111760i | ||||
\(181\) | −6.23341 | − | 19.1845i | −0.463326 | − | 1.42597i | −0.861076 | − | 0.508476i | \(-0.830209\pi\) |
0.397750 | − | 0.917494i | \(-0.369791\pi\) | |||||||
\(182\) | 8.81132 | + | 0.285956i | 0.653139 | + | 0.0211965i | ||||
\(183\) | −4.22572 | − | 3.07017i | −0.312374 | − | 0.226953i | ||||
\(184\) | −3.65474 | − | 1.62720i | −0.269431 | − | 0.119958i | ||||
\(185\) | −3.21746 | − | 3.57335i | −0.236552 | − | 0.262718i | ||||
\(186\) | −1.56333 | + | 2.70776i | −0.114629 | + | 0.198543i | ||||
\(187\) | 0.490805 | + | 3.32200i | 0.0358912 | + | 0.242929i | ||||
\(188\) | 2.45642 | 0.179153 | ||||||||
\(189\) | 2.45065 | − | 0.997159i | 0.178258 | − | 0.0725327i | ||||
\(190\) | 5.21649 | − | 3.79001i | 0.378444 | − | 0.274956i | ||||
\(191\) | 1.51372 | − | 14.4021i | 0.109529 | − | 1.04210i | −0.792338 | − | 0.610082i | \(-0.791136\pi\) |
0.901867 | − | 0.432014i | \(-0.142197\pi\) | |||||||
\(192\) | 0.978148 | + | 0.207912i | 0.0705917 | + | 0.0150047i | ||||
\(193\) | 26.2489 | + | 5.57938i | 1.88944 | + | 0.401612i | 0.998609 | − | 0.0527260i | \(-0.0167910\pi\) |
0.890829 | + | 0.454338i | \(0.150124\pi\) | |||||||
\(194\) | 0.305981 | − | 2.91122i | 0.0219682 | − | 0.209013i | ||||
\(195\) | 4.06431 | − | 2.95289i | 0.291051 | − | 0.211461i | ||||
\(196\) | −5.91798 | + | 3.73865i | −0.422713 | + | 0.267047i | ||||
\(197\) | 6.49016 | 0.462405 | 0.231202 | − | 0.972906i | \(-0.425734\pi\) | ||||
0.231202 | + | 0.972906i | \(0.425734\pi\) | |||||||
\(198\) | −2.32070 | − | 2.36946i | −0.164925 | − | 0.168390i | ||||
\(199\) | −0.882429 | + | 1.52841i | −0.0625537 | + | 0.108346i | −0.895606 | − | 0.444848i | \(-0.853258\pi\) |
0.833053 | + | 0.553194i | \(0.186591\pi\) | |||||||
\(200\) | 1.82466 | + | 2.02649i | 0.129023 | + | 0.143295i | ||||
\(201\) | −1.75916 | − | 0.783230i | −0.124082 | − | 0.0552448i | ||||
\(202\) | −15.1727 | − | 11.0236i | −1.06755 | − | 0.775618i | ||||
\(203\) | 13.4623 | − | 21.6629i | 0.944870 | − | 1.52043i | ||||
\(204\) | 0.312878 | + | 0.962939i | 0.0219058 | + | 0.0674192i | ||||
\(205\) | 0.762804 | − | 7.25759i | 0.0532765 | − | 0.506892i | ||||
\(206\) | −1.18653 | − | 11.2890i | −0.0826692 | − | 0.786545i | ||||
\(207\) | 2.67693 | + | 2.97303i | 0.186060 | + | 0.206640i | ||||
\(208\) | −1.66606 | − | 2.88570i | −0.115520 | − | 0.200087i | ||||
\(209\) | −0.889582 | + | 14.1564i | −0.0615336 | + | 0.979220i | ||||
\(210\) | −1.35505 | + | 3.75173i | −0.0935076 | + | 0.258894i | ||||
\(211\) | −1.21389 | + | 3.73597i | −0.0835677 | + | 0.257195i | −0.984106 | − | 0.177582i | \(-0.943173\pi\) |
0.900538 | + | 0.434776i | \(0.143173\pi\) | |||||||
\(212\) | −0.733837 | − | 0.326725i | −0.0504001 | − | 0.0224396i | ||||
\(213\) | 11.4595 | − | 5.10209i | 0.785190 | − | 0.349589i | ||||
\(214\) | −1.35254 | − | 0.287492i | −0.0924580 | − | 0.0196526i | ||||
\(215\) | −8.94681 | + | 9.93644i | −0.610168 | + | 0.677660i | ||||
\(216\) | −0.809017 | − | 0.587785i | −0.0550466 | − | 0.0399937i | ||||
\(217\) | −5.73177 | + | 5.96477i | −0.389098 | + | 0.404915i | ||||
\(218\) | −0.448021 | + | 1.37887i | −0.0303438 | + | 0.0933886i | ||||
\(219\) | −2.67374 | − | 4.63105i | −0.180674 | − | 0.312937i | ||||
\(220\) | 4.99600 | − | 0.209769i | 0.336830 | − | 0.0141426i | ||||
\(221\) | 1.68688 | − | 2.92176i | 0.113472 | − | 0.196539i | ||||
\(222\) | 3.11960 | − | 0.663091i | 0.209374 | − | 0.0445037i | ||||
\(223\) | 19.5341 | − | 14.1924i | 1.30810 | − | 0.950392i | 0.308102 | − | 0.951353i | \(-0.400306\pi\) |
1.00000 | 0.000961469i | \(0.000306045\pi\) | ||||||||
\(224\) | 2.38084 | + | 1.15396i | 0.159076 | + | 0.0771020i | ||||
\(225\) | −0.842662 | − | 2.59345i | −0.0561775 | − | 0.172896i | ||||
\(226\) | 8.03170 | − | 8.92010i | 0.534260 | − | 0.593356i | ||||
\(227\) | 14.6857 | − | 6.53851i | 0.974727 | − | 0.433976i | 0.143342 | − | 0.989673i | \(-0.454215\pi\) |
0.831385 | + | 0.555697i | \(0.187548\pi\) | |||||||
\(228\) | 0.447041 | + | 4.25331i | 0.0296060 | + | 0.281683i | ||||
\(229\) | 3.94428 | − | 0.838382i | 0.260645 | − | 0.0554019i | −0.0757355 | − | 0.997128i | \(-0.524130\pi\) |
0.336381 | + | 0.941726i | \(0.390797\pi\) | |||||||
\(230\) | −6.03163 | −0.397714 | ||||||||
\(231\) | −4.45964 | − | 7.55723i | −0.293422 | − | 0.497229i | ||||
\(232\) | −9.64005 | −0.632900 | ||||||||
\(233\) | −26.6317 | + | 5.66075i | −1.74470 | + | 0.370848i | −0.966401 | − | 0.257040i | \(-0.917253\pi\) |
−0.778303 | + | 0.627889i | \(0.783919\pi\) | |||||||
\(234\) | 0.348301 | + | 3.31387i | 0.0227692 | + | 0.216634i | ||||
\(235\) | 3.38331 | − | 1.50635i | 0.220703 | − | 0.0982631i | ||||
\(236\) | 2.81233 | − | 3.12341i | 0.183067 | − | 0.203317i | ||||
\(237\) | −4.37418 | − | 13.4624i | −0.284134 | − | 0.874474i | ||||
\(238\) | 0.193450 | + | 2.67181i | 0.0125395 | + | 0.173188i | ||||
\(239\) | 10.4462 | − | 7.58962i | 0.675710 | − | 0.490932i | −0.196222 | − | 0.980560i | \(-0.562867\pi\) |
0.871932 | + | 0.489628i | \(0.162867\pi\) | |||||||
\(240\) | 1.47473 | − | 0.313464i | 0.0951934 | − | 0.0202340i | ||||
\(241\) | −12.5800 | + | 21.7892i | −0.810350 | + | 1.40357i | 0.102269 | + | 0.994757i | \(0.467390\pi\) |
−0.912619 | + | 0.408811i | \(0.865943\pi\) | |||||||
\(242\) | −6.64928 | + | 8.76283i | −0.427432 | + | 0.563296i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −1.61408 | + | 4.96763i | −0.103331 | + | 0.318020i | ||||
\(245\) | −5.85837 | + | 8.77843i | −0.374278 | + | 0.560833i | ||||
\(246\) | 3.91586 | + | 2.84504i | 0.249666 | + | 0.181393i | ||||
\(247\) | 9.53552 | − | 10.5903i | 0.606731 | − | 0.673843i | ||||
\(248\) | 3.05833 | + | 0.650068i | 0.194204 | + | 0.0412793i | ||||
\(249\) | 9.58257 | − | 4.26644i | 0.607271 | − | 0.270374i | ||||
\(250\) | 10.6425 | + | 4.73835i | 0.673092 | + | 0.299680i | ||||
\(251\) | −4.65546 | + | 14.3280i | −0.293850 | + | 0.904377i | 0.689755 | + | 0.724042i | \(0.257718\pi\) |
−0.983605 | + | 0.180335i | \(0.942282\pi\) | |||||||
\(252\) | −1.70565 | − | 2.02257i | −0.107446 | − | 0.127410i | ||||
\(253\) | 8.45691 | − | 10.2242i | 0.531681 | − | 0.642791i | ||||
\(254\) | 5.02402 | + | 8.70185i | 0.315235 | + | 0.546003i | ||||
\(255\) | 1.02144 | + | 1.13442i | 0.0639649 | + | 0.0710402i | ||||
\(256\) | −0.104528 | − | 0.994522i | −0.00653303 | − | 0.0621576i | ||||
\(257\) | −1.44923 | + | 13.7885i | −0.0904006 | + | 0.860105i | 0.851532 | + | 0.524303i | \(0.175674\pi\) |
−0.941933 | + | 0.335802i | \(0.890993\pi\) | |||||||
\(258\) | −2.74051 | − | 8.43443i | −0.170617 | − | 0.525105i | ||||
\(259\) | 8.43363 | + | 0.273698i | 0.524040 | + | 0.0170068i | ||||
\(260\) | −4.06431 | − | 2.95289i | −0.252058 | − | 0.183131i | ||||
\(261\) | 8.80662 | + | 3.92096i | 0.545116 | + | 0.242701i | ||||
\(262\) | −4.83572 | − | 5.37061i | −0.298752 | − | 0.331797i | ||||
\(263\) | 0.501795 | − | 0.869135i | 0.0309420 | − | 0.0535931i | −0.850140 | − | 0.526557i | \(-0.823483\pi\) |
0.881082 | + | 0.472964i | \(0.156816\pi\) | |||||||
\(264\) | −1.53636 | + | 2.93932i | −0.0945564 | + | 0.180903i | ||||
\(265\) | −1.21109 | −0.0743968 | ||||||||
\(266\) | −1.54715 | + | 11.2089i | −0.0948617 | + | 0.687263i | ||||
\(267\) | −3.79131 | + | 2.75455i | −0.232024 | + | 0.168575i | ||||
\(268\) | −0.201285 | + | 1.91510i | −0.0122954 | + | 0.116983i | ||||
\(269\) | −7.22426 | − | 1.53556i | −0.440471 | − | 0.0936250i | −0.0176623 | − | 0.999844i | \(-0.505622\pi\) |
−0.422808 | + | 0.906219i | \(0.638956\pi\) | |||||||
\(270\) | −1.47473 | − | 0.313464i | −0.0897492 | − | 0.0190768i | ||||
\(271\) | −0.607491 | + | 5.77989i | −0.0369024 | + | 0.351103i | 0.960454 | + | 0.278439i | \(0.0898169\pi\) |
−0.997356 | + | 0.0726645i | \(0.976850\pi\) | |||||||
\(272\) | 0.819125 | − | 0.595129i | 0.0496668 | − | 0.0360850i | ||||
\(273\) | −1.20542 | + | 8.73316i | −0.0729555 | + | 0.528555i | ||||
\(274\) | −2.19590 | −0.132659 | ||||||||
\(275\) | −8.10064 | + | 4.02195i | −0.488487 | + | 0.242533i | ||||
\(276\) | 2.00031 | − | 3.46463i | 0.120404 | − | 0.208546i | ||||
\(277\) | 11.1115 | + | 12.3405i | 0.667624 | + | 0.741471i | 0.977877 | − | 0.209183i | \(-0.0670804\pi\) |
−0.310253 | + | 0.950654i | \(0.600414\pi\) | |||||||
\(278\) | 17.6594 | + | 7.86246i | 1.05914 | + | 0.471559i | ||||
\(279\) | −2.52952 | − | 1.83780i | −0.151438 | − | 0.110026i | ||||
\(280\) | 3.98684 | + | 0.129386i | 0.238259 | + | 0.00773228i | ||||
\(281\) | 0.0421440 | + | 0.129706i | 0.00251410 | + | 0.00773761i | 0.952306 | − | 0.305146i | \(-0.0987051\pi\) |
−0.949792 | + | 0.312883i | \(0.898705\pi\) | |||||||
\(282\) | −0.256766 | + | 2.44297i | −0.0152902 | + | 0.145477i | ||||
\(283\) | −0.165240 | − | 1.57215i | −0.00982249 | − | 0.0934547i | 0.988512 | − | 0.151140i | \(-0.0482946\pi\) |
−0.998335 | + | 0.0576857i | \(0.981628\pi\) | |||||||
\(284\) | −8.39355 | − | 9.32198i | −0.498065 | − | 0.553158i | ||||
\(285\) | 3.22397 | + | 5.58408i | 0.190972 | + | 0.330772i | ||||
\(286\) | 10.7040 | − | 2.74917i | 0.632940 | − | 0.162562i | ||||
\(287\) | 8.25580 | + | 9.78977i | 0.487324 | + | 0.577872i | ||||
\(288\) | −0.309017 | + | 0.951057i | −0.0182090 | + | 0.0560415i | ||||
\(289\) | −14.5938 | − | 6.49756i | −0.858456 | − | 0.382209i | ||||
\(290\) | −13.2775 | + | 5.91154i | −0.779684 | + | 0.347137i | ||||
\(291\) | 2.86328 | + | 0.608610i | 0.167849 | + | 0.0356773i | ||||
\(292\) | −3.57816 | + | 3.97395i | −0.209396 | + | 0.232558i | ||||
\(293\) | −1.56135 | − | 1.13439i | −0.0912153 | − | 0.0662718i | 0.541243 | − | 0.840866i | \(-0.317954\pi\) |
−0.632458 | + | 0.774595i | \(0.717954\pi\) | |||||||
\(294\) | −3.09957 | − | 6.27636i | −0.180771 | − | 0.366044i | ||||
\(295\) | 1.95815 | − | 6.02657i | 0.114008 | − | 0.350881i | ||||
\(296\) | −1.59464 | − | 2.76201i | −0.0926869 | − | 0.160538i | ||||
\(297\) | 2.59906 | − | 2.06031i | 0.150813 | − | 0.119551i | ||||
\(298\) | −7.61248 | + | 13.1852i | −0.440979 | + | 0.763798i | ||||
\(299\) | −13.0392 | + | 2.77157i | −0.754077 | + | 0.160284i | ||||
\(300\) | −2.20612 | + | 1.60284i | −0.127370 | + | 0.0925399i | ||||
\(301\) | −1.69444 | − | 23.4025i | −0.0976658 | − | 1.34890i | ||||
\(302\) | 6.79390 | + | 20.9095i | 0.390945 | + | 1.20320i | ||||
\(303\) | 12.5492 | − | 13.9373i | 0.720932 | − | 0.800676i | ||||
\(304\) | 3.90700 | − | 1.73951i | 0.224082 | − | 0.0997676i | ||||
\(305\) | 0.823163 | + | 7.83187i | 0.0471342 | + | 0.448452i | ||||
\(306\) | −0.990369 | + | 0.210509i | −0.0566156 | + | 0.0120340i | ||||
\(307\) | 12.8003 | 0.730552 | 0.365276 | − | 0.930899i | \(-0.380975\pi\) | ||||
0.365276 | + | 0.930899i | \(0.380975\pi\) | |||||||
\(308\) | −5.80924 | + | 6.57668i | −0.331012 | + | 0.374741i | ||||
\(309\) | 11.3512 | 0.645749 | ||||||||
\(310\) | 4.61097 | − | 0.980092i | 0.261885 | − | 0.0556655i | ||||
\(311\) | 1.75137 | + | 16.6632i | 0.0993111 | + | 0.944882i | 0.924797 | + | 0.380460i | \(0.124234\pi\) |
−0.825486 | + | 0.564422i | \(0.809099\pi\) | |||||||
\(312\) | 3.04404 | − | 1.35530i | 0.172335 | − | 0.0767285i | ||||
\(313\) | 6.65522 | − | 7.39137i | 0.376175 | − | 0.417785i | −0.525094 | − | 0.851044i | \(-0.675970\pi\) |
0.901269 | + | 0.433259i | \(0.142637\pi\) | |||||||
\(314\) | −0.798723 | − | 2.45822i | −0.0450745 | − | 0.138725i | ||||
\(315\) | −3.58953 | − | 1.73979i | −0.202247 | − | 0.0980262i | ||||
\(316\) | −11.4518 | + | 8.32019i | −0.644212 | + | 0.468047i | ||||
\(317\) | 16.5295 | − | 3.51345i | 0.928389 | − | 0.197335i | 0.281186 | − | 0.959653i | \(-0.409272\pi\) |
0.647203 | + | 0.762318i | \(0.275939\pi\) | |||||||
\(318\) | 0.401642 | − | 0.695665i | 0.0225230 | − | 0.0390109i | ||||
\(319\) | 8.59571 | − | 30.7953i | 0.481267 | − | 1.72420i | ||||
\(320\) | −0.753838 | − | 1.30569i | −0.0421408 | − | 0.0729901i | ||||
\(321\) | 0.427296 | − | 1.31508i | 0.0238494 | − | 0.0734008i | ||||
\(322\) | 7.33391 | − | 7.63204i | 0.408703 | − | 0.425317i | ||||
\(323\) | 3.50319 | + | 2.54521i | 0.194922 | + | 0.141619i | ||||
\(324\) | 0.669131 | − | 0.743145i | 0.0371739 | − | 0.0412858i | ||||
\(325\) | 8.88784 | + | 1.88917i | 0.493009 | + | 0.104792i | ||||
\(326\) | 11.5847 | − | 5.15783i | 0.641616 | − | 0.285666i | ||||
\(327\) | −1.32448 | − | 0.589697i | −0.0732440 | − | 0.0326103i | ||||
\(328\) | 1.49573 | − | 4.60338i | 0.0825877 | − | 0.254179i | ||||
\(329\) | −2.20776 | + | 6.11260i | −0.121718 | + | 0.336999i | ||||
\(330\) | −0.313604 | + | 4.99055i | −0.0172633 | + | 0.274721i | ||||
\(331\) | 16.5112 | + | 28.5983i | 0.907538 | + | 1.57190i | 0.817473 | + | 0.575967i | \(0.195374\pi\) |
0.0900652 | + | 0.995936i | \(0.471292\pi\) | |||||||
\(332\) | −7.01880 | − | 7.79517i | −0.385207 | − | 0.427815i | ||||
\(333\) | 0.333372 | + | 3.17182i | 0.0182686 | + | 0.173815i | ||||
\(334\) | −2.20136 | + | 20.9446i | −0.120453 | + | 1.14604i | ||||
\(335\) | 0.897153 | + | 2.76115i | 0.0490167 | + | 0.150858i | ||||
\(336\) | −1.39650 | + | 2.24717i | −0.0761853 | + | 0.122593i | ||||
\(337\) | −15.3305 | − | 11.1383i | −0.835105 | − | 0.606740i | 0.0858937 | − | 0.996304i | \(-0.472625\pi\) |
−0.920999 | + | 0.389565i | \(0.872625\pi\) | |||||||
\(338\) | 1.73298 | + | 0.771570i | 0.0942614 | + | 0.0419679i | ||||
\(339\) | 8.03170 | + | 8.92010i | 0.436222 | + | 0.484473i | ||||
\(340\) | 0.763257 | − | 1.32200i | 0.0413934 | − | 0.0716955i | ||||
\(341\) | −4.80366 | + | 9.19023i | −0.260133 | + | 0.497679i | ||||
\(342\) | −4.27674 | −0.231260 | ||||||||
\(343\) | −3.98442 | − | 18.0866i | −0.215139 | − | 0.976584i | ||||
\(344\) | −7.17475 | + | 5.21276i | −0.386837 | + | 0.281053i | ||||
\(345\) | 0.630477 | − | 5.99859i | 0.0339437 | − | 0.322953i | ||||
\(346\) | 21.8216 | + | 4.63832i | 1.17314 | + | 0.249358i | ||||
\(347\) | −20.5257 | − | 4.36288i | −1.10188 | − | 0.234212i | −0.379145 | − | 0.925337i | \(-0.623782\pi\) |
−0.722734 | + | 0.691126i | \(0.757115\pi\) | |||||||
\(348\) | 1.00766 | − | 9.58724i | 0.0540162 | − | 0.513930i | ||||
\(349\) | 7.29469 | − | 5.29990i | 0.390476 | − | 0.283697i | −0.375175 | − | 0.926954i | \(-0.622417\pi\) |
0.765650 | + | 0.643257i | \(0.222417\pi\) | |||||||
\(350\) | −6.68270 | + | 2.71916i | −0.357205 | + | 0.145345i | ||||
\(351\) | −3.33212 | −0.177855 | ||||||||
\(352\) | 3.27022 | + | 0.552864i | 0.174303 | + | 0.0294678i | ||||
\(353\) | 7.60863 | − | 13.1785i | 0.404967 | − | 0.701423i | −0.589351 | − | 0.807877i | \(-0.700616\pi\) |
0.994318 | + | 0.106454i | \(0.0339498\pi\) | |||||||
\(354\) | 2.81233 | + | 3.12341i | 0.149474 | + | 0.166008i | ||||
\(355\) | −17.2772 | − | 7.69230i | −0.916978 | − | 0.408265i | ||||
\(356\) | 3.79131 | + | 2.75455i | 0.200939 | + | 0.145991i | ||||
\(357\) | −2.67740 | − | 0.0868902i | −0.141703 | − | 0.00459872i | ||||
\(358\) | 1.31950 | + | 4.06101i | 0.0697378 | + | 0.214631i | ||||
\(359\) | −1.03944 | + | 9.88957i | −0.0548593 | + | 0.521952i | 0.932240 | + | 0.361841i | \(0.117852\pi\) |
−0.987099 | + | 0.160110i | \(0.948815\pi\) | |||||||
\(360\) | 0.157595 | + | 1.49942i | 0.00830599 | + | 0.0790262i | ||||
\(361\) | −0.474739 | − | 0.527251i | −0.0249863 | − | 0.0277500i | ||||
\(362\) | −10.0859 | − | 17.4692i | −0.530102 | − | 0.918163i | ||||
\(363\) | −8.01978 | − | 7.52882i | −0.420929 | − | 0.395160i | ||||
\(364\) | 8.67823 | − | 1.55227i | 0.454863 | − | 0.0813610i | ||||
\(365\) | −2.49137 | + | 7.66766i | −0.130405 | + | 0.401344i | ||||
\(366\) | −4.77170 | − | 2.12450i | −0.249421 | − | 0.111049i | ||||
\(367\) | −32.2034 | + | 14.3379i | −1.68100 | + | 0.748431i | −0.681136 | + | 0.732157i | \(0.738514\pi\) |
−0.999868 | + | 0.0162746i | \(0.994819\pi\) | |||||||
\(368\) | −3.91319 | − | 0.831774i | −0.203989 | − | 0.0433592i | ||||
\(369\) | −3.23878 | + | 3.59703i | −0.168604 | + | 0.187254i | ||||
\(370\) | −3.89009 | − | 2.82632i | −0.202236 | − | 0.146933i | ||||
\(371\) | 1.47258 | − | 1.53244i | 0.0764524 | − | 0.0795603i | ||||
\(372\) | −0.966189 | + | 2.97362i | −0.0500946 | + | 0.154175i | ||||
\(373\) | −12.8988 | − | 22.3413i | −0.667872 | − | 1.15679i | −0.978498 | − | 0.206256i | \(-0.933872\pi\) |
0.310626 | − | 0.950532i | \(-0.399461\pi\) | |||||||
\(374\) | 1.17076 | + | 3.14736i | 0.0605387 | + | 0.162746i | ||||
\(375\) | −5.82484 | + | 10.0889i | −0.300794 | + | 0.520990i | ||||
\(376\) | 2.40274 | − | 0.510719i | 0.123912 | − | 0.0263383i | ||||
\(377\) | −25.9871 | + | 18.8807i | −1.33840 | + | 0.972406i | ||||
\(378\) | 2.18977 | − | 1.48489i | 0.112630 | − | 0.0763744i | ||||
\(379\) | 9.20215 | + | 28.3213i | 0.472683 | + | 1.45477i | 0.849058 | + | 0.528300i | \(0.177170\pi\) |
−0.376375 | + | 0.926467i | \(0.622830\pi\) | |||||||
\(380\) | 4.31452 | − | 4.79175i | 0.221330 | − | 0.245812i | ||||
\(381\) | −9.17934 | + | 4.08690i | −0.470272 | + | 0.209378i | ||||
\(382\) | −1.51372 | − | 14.4021i | −0.0774485 | − | 0.736873i | ||||
\(383\) | 20.1225 | − | 4.27716i | 1.02821 | − | 0.218553i | 0.337227 | − | 0.941423i | \(-0.390511\pi\) |
0.690983 | + | 0.722871i | \(0.257178\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | −3.96826 | + | 12.6206i | −0.202241 | + | 0.643208i | ||||
\(386\) | 26.8353 | 1.36588 | ||||||||
\(387\) | 8.67468 | − | 1.84386i | 0.440959 | − | 0.0937287i | ||||
\(388\) | −0.305981 | − | 2.91122i | −0.0155338 | − | 0.147795i | ||||
\(389\) | −4.36161 | + | 1.94191i | −0.221142 | + | 0.0984590i | −0.514318 | − | 0.857600i | \(-0.671955\pi\) |
0.293175 | + | 0.956059i | \(0.405288\pi\) | |||||||
\(390\) | 3.36155 | − | 3.73338i | 0.170219 | − | 0.189047i | ||||
\(391\) | −1.25170 | − | 3.85235i | −0.0633013 | − | 0.194821i | ||||
\(392\) | −5.01135 | + | 4.88737i | −0.253111 | + | 0.246850i | ||||
\(393\) | 5.84666 | − | 4.24785i | 0.294925 | − | 0.214275i | ||||
\(394\) | 6.34833 | − | 1.34938i | 0.319824 | − | 0.0679808i | ||||
\(395\) | −10.6707 | + | 18.4822i | −0.536901 | + | 0.929940i | ||||
\(396\) | −2.76262 | − | 1.83519i | −0.138827 | − | 0.0922215i | ||||
\(397\) | −6.26693 | − | 10.8546i | −0.314528 | − | 0.544779i | 0.664809 | − | 0.747013i | \(-0.268513\pi\) |
−0.979337 | + | 0.202235i | \(0.935180\pi\) | |||||||
\(398\) | −0.545371 | + | 1.67848i | −0.0273370 | + | 0.0841346i | ||||
\(399\) | −10.9858 | − | 2.71032i | −0.549978 | − | 0.135686i | ||||
\(400\) | 2.20612 | + | 1.60284i | 0.110306 | + | 0.0801419i | ||||
\(401\) | −19.2117 | + | 21.3368i | −0.959389 | + | 1.06551i | 0.0384143 | + | 0.999262i | \(0.487769\pi\) |
−0.997803 | + | 0.0662474i | \(0.978897\pi\) | |||||||
\(402\) | −1.88356 | − | 0.400364i | −0.0939436 | − | 0.0199683i | ||||
\(403\) | 9.51767 | − | 4.23754i | 0.474109 | − | 0.211087i | ||||
\(404\) | −17.1331 | − | 7.62813i | −0.852402 | − | 0.379514i | ||||
\(405\) | 0.465898 | − | 1.43389i | 0.0231506 | − | 0.0712503i | ||||
\(406\) | 8.66418 | − | 23.9884i | 0.429996 | − | 1.19053i | ||||
\(407\) | 10.2452 | − | 2.63133i | 0.507834 | − | 0.130430i | ||||
\(408\) | 0.506247 | + | 0.876846i | 0.0250630 | + | 0.0434103i | ||||
\(409\) | −23.9473 | − | 26.5962i | −1.18412 | − | 1.31510i | −0.938317 | − | 0.345776i | \(-0.887616\pi\) |
−0.245801 | − | 0.969320i | \(-0.579051\pi\) | |||||||
\(410\) | −0.762804 | − | 7.25759i | −0.0376722 | − | 0.358427i | ||||
\(411\) | 0.229534 | − | 2.18387i | 0.0113221 | − | 0.107723i | ||||
\(412\) | −3.50772 | − | 10.7957i | −0.172813 | − | 0.531864i | ||||
\(413\) | 5.24471 | + | 9.80549i | 0.258075 | + | 0.482496i | ||||
\(414\) | 3.23656 | + | 2.35150i | 0.159068 | + | 0.115570i | ||||
\(415\) | −14.4474 | − | 6.43241i | −0.709196 | − | 0.315754i | ||||
\(416\) | −2.22962 | − | 2.47625i | −0.109316 | − | 0.121408i | ||||
\(417\) | −9.66530 | + | 16.7408i | −0.473312 | + | 0.819800i | ||||
\(418\) | 2.07314 | + | 14.0320i | 0.101401 | + | 0.686329i | ||||
\(419\) | 10.6538 | 0.520471 | 0.260235 | − | 0.965545i | \(-0.416200\pi\) | ||||
0.260235 | + | 0.965545i | \(0.416200\pi\) | |||||||
\(420\) | −0.545415 | + | 3.95147i | −0.0266135 | + | 0.192812i | ||||
\(421\) | 25.9800 | − | 18.8756i | 1.26619 | − | 0.919940i | 0.267145 | − | 0.963656i | \(-0.413920\pi\) |
0.999044 | + | 0.0437162i | \(0.0139197\pi\) | |||||||
\(422\) | −0.410612 | + | 3.90671i | −0.0199883 | + | 0.190176i | ||||
\(423\) | −2.40274 | − | 0.510719i | −0.116825 | − | 0.0248320i | ||||
\(424\) | −0.785731 | − | 0.167012i | −0.0381584 | − | 0.00811083i | ||||
\(425\) | −0.288601 | + | 2.74586i | −0.0139992 | + | 0.133194i | ||||
\(426\) | 10.1483 | − | 7.37315i | 0.491686 | − | 0.357230i | ||||
\(427\) | −10.9108 | − | 8.48126i | −0.528013 | − | 0.410437i | ||||
\(428\) | −1.38276 | −0.0668382 | ||||||||
\(429\) | 1.61524 | + | 10.9327i | 0.0779845 | + | 0.527836i | ||||
\(430\) | −6.68540 | + | 11.5795i | −0.322399 | + | 0.558411i | ||||
\(431\) | −13.8152 | − | 15.3433i | −0.665453 | − | 0.739061i | 0.312030 | − | 0.950072i | \(-0.398991\pi\) |
−0.977484 | + | 0.211012i | \(0.932324\pi\) | |||||||
\(432\) | −0.913545 | − | 0.406737i | −0.0439530 | − | 0.0195691i | ||||
\(433\) | −23.7210 | − | 17.2343i | −1.13996 | − | 0.828229i | −0.152846 | − | 0.988250i | \(-0.548844\pi\) |
−0.987114 | + | 0.160021i | \(0.948844\pi\) | |||||||
\(434\) | −4.36637 | + | 7.02613i | −0.209593 | + | 0.337265i | ||||
\(435\) | −4.49127 | − | 13.8227i | −0.215340 | − | 0.662749i | ||||
\(436\) | −0.151548 | + | 1.44188i | −0.00725784 | + | 0.0690537i | ||||
\(437\) | −1.78844 | − | 17.0159i | −0.0855526 | − | 0.813979i | ||||
\(438\) | −3.57816 | − | 3.97395i | −0.170971 | − | 0.189883i | ||||
\(439\) | 9.30560 | + | 16.1178i | 0.444132 | + | 0.769259i | 0.997991 | − | 0.0633509i | \(-0.0201787\pi\) |
−0.553859 | + | 0.832610i | \(0.686845\pi\) | |||||||
\(440\) | 4.84321 | − | 1.24391i | 0.230891 | − | 0.0593011i | ||||
\(441\) | 6.56597 | − | 2.42654i | 0.312665 | − | 0.115549i | ||||
\(442\) | 1.04255 | − | 3.20863i | 0.0495889 | − | 0.152619i | ||||
\(443\) | −4.25773 | − | 1.89567i | −0.202291 | − | 0.0900658i | 0.303090 | − | 0.952962i | \(-0.401982\pi\) |
−0.505382 | + | 0.862896i | \(0.668648\pi\) | |||||||
\(444\) | 2.91356 | − | 1.29720i | 0.138271 | − | 0.0615624i | ||||
\(445\) | 6.91105 | + | 1.46899i | 0.327615 | + | 0.0696367i | ||||
\(446\) | 16.1565 | − | 17.9436i | 0.765032 | − | 0.849655i | ||||
\(447\) | −12.3172 | − | 8.94900i | −0.582586 | − | 0.423273i | ||||
\(448\) | 2.56873 | + | 0.633736i | 0.121361 | + | 0.0299412i | ||||
\(449\) | −8.61738 | + | 26.5216i | −0.406679 | + | 1.25163i | 0.512806 | + | 0.858505i | \(0.328606\pi\) |
−0.919485 | + | 0.393125i | \(0.871394\pi\) | |||||||
\(450\) | −1.36346 | − | 2.36157i | −0.0642739 | − | 0.111326i | ||||
\(451\) | 13.3719 | + | 8.88280i | 0.629656 | + | 0.418275i | ||||
\(452\) | 6.00159 | − | 10.3951i | 0.282291 | − | 0.488942i | ||||
\(453\) | −21.5051 | + | 4.57105i | −1.01040 | + | 0.214767i | ||||
\(454\) | 13.0054 | − | 9.44897i | 0.610373 | − | 0.443462i | ||||
\(455\) | 11.0009 | − | 7.45971i | 0.515730 | − | 0.349717i | ||||
\(456\) | 1.32159 | + | 4.06742i | 0.0618889 | + | 0.190475i | ||||
\(457\) | −4.16302 | + | 4.62351i | −0.194738 | + | 0.216278i | −0.832604 | − | 0.553869i | \(-0.813151\pi\) |
0.637866 | + | 0.770148i | \(0.279817\pi\) | |||||||
\(458\) | 3.68378 | − | 1.64012i | 0.172132 | − | 0.0766379i | ||||
\(459\) | −0.105834 | − | 1.00695i | −0.00493993 | − | 0.0470003i | ||||
\(460\) | −5.89982 | + | 1.25405i | −0.275081 | + | 0.0584702i | ||||
\(461\) | −3.82714 | −0.178248 | −0.0891239 | − | 0.996021i | \(-0.528407\pi\) | ||||
−0.0891239 | + | 0.996021i | \(0.528407\pi\) | |||||||
\(462\) | −5.93342 | − | 6.46487i | −0.276048 | − | 0.300773i | ||||
\(463\) | 11.4623 | 0.532699 | 0.266350 | − | 0.963876i | \(-0.414182\pi\) | ||||
0.266350 | + | 0.963876i | \(0.414182\pi\) | |||||||
\(464\) | −9.42939 | + | 2.00428i | −0.437748 | + | 0.0930463i | ||||
\(465\) | 0.492745 | + | 4.68816i | 0.0228505 | + | 0.217408i | ||||
\(466\) | −24.8728 | + | 11.0741i | −1.15221 | + | 0.512998i | ||||
\(467\) | 11.2689 | − | 12.5154i | 0.521461 | − | 0.579142i | −0.423676 | − | 0.905814i | \(-0.639261\pi\) |
0.945138 | + | 0.326672i | \(0.105927\pi\) | |||||||
\(468\) | 1.02968 | + | 3.16903i | 0.0475971 | + | 0.146489i | ||||
\(469\) | −4.58464 | − | 2.22211i | −0.211699 | − | 0.102607i | ||||
\(470\) | 2.99619 | − | 2.17686i | 0.138204 | − | 0.100411i | ||||
\(471\) | 2.52824 | − | 0.537394i | 0.116495 | − | 0.0247618i | ||||
\(472\) | 2.10148 | − | 3.63988i | 0.0967286 | − | 0.167539i | ||||
\(473\) | −10.2548 | − | 27.5679i | −0.471515 | − | 1.26757i | ||||
\(474\) | −7.07758 | − | 12.2587i | −0.325084 | − | 0.563062i | ||||
\(475\) | −3.60385 | + | 11.0915i | −0.165356 | + | 0.508913i | ||||
\(476\) | 0.744724 | + | 2.57321i | 0.0341344 | + | 0.117943i | ||||
\(477\) | 0.649871 | + | 0.472159i | 0.0297555 | + | 0.0216187i | ||||
\(478\) | 8.63997 | − | 9.59566i | 0.395183 | − | 0.438895i | ||||
\(479\) | −37.8795 | − | 8.05153i | −1.73076 | − | 0.367884i | −0.768463 | − | 0.639895i | \(-0.778978\pi\) |
−0.962294 | + | 0.272011i | \(0.912311\pi\) | |||||||
\(480\) | 1.37733 | − | 0.613227i | 0.0628663 | − | 0.0279899i | ||||
\(481\) | −9.70834 | − | 4.32243i | −0.442662 | − | 0.197086i | ||||
\(482\) | −7.77488 | + | 23.9286i | −0.354136 | + | 1.08992i | ||||
\(483\) | 6.82363 | + | 8.09150i | 0.310486 | + | 0.368176i | ||||
\(484\) | −4.68208 | + | 9.95380i | −0.212822 | + | 0.452445i | ||||
\(485\) | −2.20667 | − | 3.82207i | −0.100200 | − | 0.173551i | ||||
\(486\) | 0.669131 | + | 0.743145i | 0.0303524 | + | 0.0337097i | ||||
\(487\) | −1.01393 | − | 9.64693i | −0.0459457 | − | 0.437144i | −0.993179 | − | 0.116599i | \(-0.962801\pi\) |
0.947233 | − | 0.320545i | \(-0.103866\pi\) | |||||||
\(488\) | −0.545981 | + | 5.19466i | −0.0247154 | + | 0.235151i | ||||
\(489\) | 3.91865 | + | 12.0604i | 0.177207 | + | 0.545388i | ||||
\(490\) | −3.90521 | + | 9.80462i | −0.176420 | + | 0.442928i | ||||
\(491\) | −27.4516 | − | 19.9448i | −1.23888 | − | 0.900096i | −0.241353 | − | 0.970437i | \(-0.577591\pi\) |
−0.997523 | + | 0.0703417i | \(0.977591\pi\) | |||||||
\(492\) | 4.42181 | + | 1.96872i | 0.199351 | + | 0.0887566i | ||||
\(493\) | −6.53104 | − | 7.25346i | −0.294143 | − | 0.326679i | ||||
\(494\) | 7.12531 | − | 12.3414i | 0.320583 | − | 0.555266i | ||||
\(495\) | −4.93043 | − | 0.833540i | −0.221607 | − | 0.0374649i | ||||
\(496\) | 3.12665 | 0.140391 | ||||||||
\(497\) | 30.7408 | − | 12.5083i | 1.37891 | − | 0.561075i | ||||
\(498\) | 8.48613 | − | 6.16553i | 0.380273 | − | 0.276284i | ||||
\(499\) | 0.865580 | − | 8.23545i | 0.0387487 | − | 0.368669i | −0.957915 | − | 0.287052i | \(-0.907325\pi\) |
0.996664 | − | 0.0816174i | \(-0.0260086\pi\) | |||||||
\(500\) | 11.3951 | + | 2.42211i | 0.509605 | + | 0.108320i | ||||
\(501\) | −20.5997 | − | 4.37861i | −0.920328 | − | 0.195622i | ||||
\(502\) | −1.57476 | + | 14.9828i | −0.0702850 | + | 0.668717i | ||||
\(503\) | −25.0909 | + | 18.2296i | −1.11875 | + | 0.812817i | −0.984019 | − | 0.178066i | \(-0.943016\pi\) |
−0.134728 | + | 0.990883i | \(0.543016\pi\) | |||||||
\(504\) | −2.08889 | − | 1.62374i | −0.0930465 | − | 0.0723273i | ||||
\(505\) | −28.2757 | −1.25825 | ||||||||
\(506\) | 6.14637 | − | 11.7591i | 0.273240 | − | 0.522755i | ||||
\(507\) | −0.948489 | + | 1.64283i | −0.0421239 | + | 0.0729607i | ||||
\(508\) | 6.72345 | + | 7.46715i | 0.298305 | + | 0.331301i | ||||
\(509\) | 30.2910 | + | 13.4864i | 1.34263 | + | 0.597776i | 0.947177 | − | 0.320711i | \(-0.103922\pi\) |
0.395450 | + | 0.918487i | \(0.370589\pi\) | |||||||
\(510\) | 1.23498 | + | 0.897262i | 0.0546856 | + | 0.0397314i | ||||
\(511\) | −6.67289 | − | 12.4756i | −0.295191 | − | 0.551888i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | 0.447041 | − | 4.25331i | 0.0197373 | − | 0.187788i | ||||
\(514\) | 1.44923 | + | 13.7885i | 0.0639229 | + | 0.608186i | ||||
\(515\) | −11.4515 | − | 12.7182i | −0.504613 | − | 0.560429i | ||||
\(516\) | −4.43424 | − | 7.68033i | −0.195207 | − | 0.338108i | ||||
\(517\) | −0.510947 | + | 8.13100i | −0.0224714 | + | 0.357601i | ||||
\(518\) | 8.30624 | − | 1.48573i | 0.364955 | − | 0.0652793i | ||||
\(519\) | −6.89389 | + | 21.2172i | −0.302608 | + | 0.931332i | ||||
\(520\) | −4.58943 | − | 2.04335i | −0.201260 | − | 0.0896067i | ||||
\(521\) | −1.09813 | + | 0.488919i | −0.0481100 | + | 0.0214199i | −0.430651 | − | 0.902519i | \(-0.641716\pi\) |
0.382541 | + | 0.923939i | \(0.375049\pi\) | |||||||
\(522\) | 9.42939 | + | 2.00428i | 0.412713 | + | 0.0877249i | ||||
\(523\) | −10.6349 | + | 11.8112i | −0.465031 | + | 0.516469i | −0.929351 | − | 0.369199i | \(-0.879632\pi\) |
0.464320 | + | 0.885668i | \(0.346299\pi\) | |||||||
\(524\) | −5.84666 | − | 4.24785i | −0.255412 | − | 0.185568i | ||||
\(525\) | −2.00574 | − | 6.93032i | −0.0875375 | − | 0.302464i | ||||
\(526\) | 0.310126 | − | 0.954471i | 0.0135222 | − | 0.0416169i | ||||
\(527\) | 1.58286 | + | 2.74159i | 0.0689504 | + | 0.119426i | ||||
\(528\) | −0.891667 | + | 3.19452i | −0.0388048 | + | 0.139023i | ||||
\(529\) | 3.49755 | − | 6.05794i | 0.152068 | − | 0.263389i | ||||
\(530\) | −1.18463 | + | 0.251800i | −0.0514569 | + | 0.0109375i | ||||
\(531\) | −3.40027 | + | 2.47044i | −0.147559 | + | 0.107208i | ||||
\(532\) | 0.817127 | + | 11.2857i | 0.0354269 | + | 0.489295i | ||||
\(533\) | −4.98394 | − | 15.3390i | −0.215879 | − | 0.664406i | ||||
\(534\) | −3.13576 | + | 3.48261i | −0.135697 | + | 0.150707i | ||||
\(535\) | −1.90452 | + | 0.847946i | −0.0823395 | + | 0.0366599i | ||||
\(536\) | 0.201285 | + | 1.91510i | 0.00869417 | + | 0.0827195i | ||||
\(537\) | −4.17669 | + | 0.887782i | −0.180237 | + | 0.0383106i | ||||
\(538\) | −7.38565 | −0.318418 | ||||||||
\(539\) | −11.1443 | − | 20.3667i | −0.480020 | − | 0.877257i | ||||
\(540\) | −1.50768 | −0.0648801 | ||||||||
\(541\) | 44.5532 | − | 9.47008i | 1.91549 | − | 0.407151i | 0.915505 | − | 0.402306i | \(-0.131791\pi\) |
0.999988 | − | 0.00484440i | \(-0.00154202\pi\) | |||||||
\(542\) | 0.607491 | + | 5.77989i | 0.0260940 | + | 0.248268i | ||||
\(543\) | 18.4278 | − | 8.20459i | 0.790813 | − | 0.352092i | ||||
\(544\) | 0.677491 | − | 0.752430i | 0.0290472 | − | 0.0322602i | ||||
\(545\) | 0.675470 | + | 2.07888i | 0.0289340 | + | 0.0890496i | ||||
\(546\) | 0.636645 | + | 8.79294i | 0.0272459 | + | 0.376303i | ||||
\(547\) | −25.3787 | + | 18.4387i | −1.08512 | + | 0.788382i | −0.978568 | − | 0.205925i | \(-0.933980\pi\) |
−0.106547 | + | 0.994308i | \(0.533980\pi\) | |||||||
\(548\) | −2.14792 | + | 0.456554i | −0.0917544 | + | 0.0195030i | ||||
\(549\) | 2.61164 | − | 4.52349i | 0.111462 | − | 0.193058i | ||||
\(550\) | −7.08741 | + | 5.61828i | −0.302208 | + | 0.239564i | ||||
\(551\) | −20.6140 | − | 35.7045i | −0.878185 | − | 1.52106i | ||||
\(552\) | 1.23626 | − | 3.80481i | 0.0526186 | − | 0.161943i | ||||
\(553\) | −10.4116 | − | 35.9747i | −0.442746 | − | 1.52980i | ||||
\(554\) | 13.4344 | + | 9.76067i | 0.570773 | + | 0.414691i | ||||
\(555\) | 3.21746 | − | 3.57335i | 0.136574 | − | 0.151680i | ||||
\(556\) | 18.9082 | + | 4.01906i | 0.801885 | + | 0.170446i | ||||
\(557\) | 11.5129 | − | 5.12587i | 0.487816 | − | 0.217190i | −0.148063 | − | 0.988978i | \(-0.547304\pi\) |
0.635880 | + | 0.771788i | \(0.280637\pi\) | |||||||
\(558\) | −2.85634 | − | 1.27172i | −0.120919 | − | 0.0538364i | ||||
\(559\) | −9.13171 | + | 28.1045i | −0.386230 | + | 1.18869i | ||||
\(560\) | 3.92662 | − | 0.702352i | 0.165930 | − | 0.0296798i | ||||
\(561\) | −3.25250 | + | 0.835360i | −0.137321 | + | 0.0352689i | ||||
\(562\) | 0.0681905 | + | 0.118109i | 0.00287644 | + | 0.00498214i | ||||
\(563\) | −3.87163 | − | 4.29988i | −0.163170 | − | 0.181218i | 0.656015 | − | 0.754748i | \(-0.272241\pi\) |
−0.819185 | + | 0.573529i | \(0.805574\pi\) | |||||||
\(564\) | 0.256766 | + | 2.44297i | 0.0108118 | + | 0.102867i | ||||
\(565\) | 1.89164 | − | 17.9978i | 0.0795820 | − | 0.757172i | ||||
\(566\) | −0.488498 | − | 1.50344i | −0.0205331 | − | 0.0631943i | ||||
\(567\) | 1.24786 | + | 2.33299i | 0.0524052 | + | 0.0979764i | ||||
\(568\) | −10.1483 | − | 7.37315i | −0.425812 | − | 0.309371i | ||||
\(569\) | 24.5074 | + | 10.9114i | 1.02740 | + | 0.457429i | 0.850041 | − | 0.526717i | \(-0.176577\pi\) |
0.177362 | + | 0.984146i | \(0.443244\pi\) | |||||||
\(570\) | 4.31452 | + | 4.79175i | 0.180715 | + | 0.200705i | ||||
\(571\) | 9.83960 | − | 17.0427i | 0.411774 | − | 0.713214i | −0.583310 | − | 0.812250i | \(-0.698243\pi\) |
0.995084 | + | 0.0990359i | \(0.0315759\pi\) | |||||||
\(572\) | 9.89849 | − | 4.91458i | 0.413877 | − | 0.205489i | ||||
\(573\) | 14.4814 | 0.604968 | ||||||||
\(574\) | 10.1108 | + | 7.85937i | 0.422017 | + | 0.328044i | ||||
\(575\) | 8.82582 | − | 6.41233i | 0.368062 | − | 0.267413i | ||||
\(576\) | −0.104528 | + | 0.994522i | −0.00435535 | + | 0.0414384i | ||||
\(577\) | 8.79238 | + | 1.86888i | 0.366032 | + | 0.0778024i | 0.387256 | − | 0.921972i | \(-0.373423\pi\) |
−0.0212242 | + | 0.999775i | \(0.506756\pi\) | |||||||
\(578\) | −15.6258 | − | 3.32136i | −0.649946 | − | 0.138150i | ||||
\(579\) | −2.80506 | + | 26.6883i | −0.116574 | + | 1.10913i | ||||
\(580\) | −11.7583 | + | 8.54291i | −0.488237 | + | 0.354725i | ||||
\(581\) | 25.7059 | − | 10.4596i | 1.06646 | − | 0.433939i | ||||
\(582\) | 2.92725 | 0.121338 | ||||||||
\(583\) | 1.23413 | − | 2.36111i | 0.0511126 | − | 0.0977872i | ||||
\(584\) | −2.67374 | + | 4.63105i | −0.110640 | + | 0.191634i | ||||
\(585\) | 3.36155 | + | 3.73338i | 0.138983 | + | 0.154356i | ||||
\(586\) | −1.76309 | − | 0.784977i | −0.0728325 | − | 0.0324271i | ||||
\(587\) | 13.2582 | + | 9.63263i | 0.547224 | + | 0.397581i | 0.826761 | − | 0.562554i | \(-0.190181\pi\) |
−0.279537 | + | 0.960135i | \(0.590181\pi\) | |||||||
\(588\) | −4.33677 | − | 5.49476i | −0.178845 | − | 0.226600i | ||||
\(589\) | 4.13214 | + | 12.7174i | 0.170262 | + | 0.524012i | ||||
\(590\) | 0.662367 | − | 6.30200i | 0.0272692 | − | 0.259449i | ||||
\(591\) | 0.678406 | + | 6.45460i | 0.0279059 | + | 0.265507i | ||||
\(592\) | −2.13405 | − | 2.37010i | −0.0877090 | − | 0.0974107i | ||||
\(593\) | −0.971088 | − | 1.68197i | −0.0398778 | − | 0.0690704i | 0.845398 | − | 0.534137i | \(-0.179364\pi\) |
−0.885275 | + | 0.465067i | \(0.846030\pi\) | |||||||
\(594\) | 2.11390 | − | 2.55566i | 0.0867346 | − | 0.104860i | ||||
\(595\) | 2.60369 | + | 3.08747i | 0.106741 | + | 0.126574i | ||||
\(596\) | −4.70477 | + | 14.4798i | −0.192715 | + | 0.593115i | ||||
\(597\) | −1.61228 | − | 0.717832i | −0.0659861 | − | 0.0293789i | ||||
\(598\) | −12.1780 | + | 5.42201i | −0.497997 | + | 0.221722i | ||||
\(599\) | −17.5152 | − | 3.72298i | −0.715653 | − | 0.152117i | −0.164326 | − | 0.986406i | \(-0.552545\pi\) |
−0.551327 | + | 0.834289i | \(0.685878\pi\) | |||||||
\(600\) | −1.82466 | + | 2.02649i | −0.0744914 | + | 0.0827311i | ||||
\(601\) | 1.72048 | + | 1.25000i | 0.0701797 | + | 0.0509885i | 0.622322 | − | 0.782761i | \(-0.286189\pi\) |
−0.552142 | + | 0.833750i | \(0.686189\pi\) | |||||||
\(602\) | −6.52307 | − | 22.5388i | −0.265861 | − | 0.918615i | ||||
\(603\) | 0.595057 | − | 1.83140i | 0.0242326 | − | 0.0745802i | ||||
\(604\) | 10.9928 | + | 19.0400i | 0.447289 | + | 0.774727i | ||||
\(605\) | −0.344833 | + | 16.5809i | −0.0140195 | + | 0.674108i | ||||
\(606\) | 9.37724 | − | 16.2419i | 0.380924 | − | 0.659780i | ||||
\(607\) | −19.0183 | + | 4.04247i | −0.771930 | + | 0.164079i | −0.577006 | − | 0.816740i | \(-0.695779\pi\) |
−0.194924 | + | 0.980818i | \(0.562446\pi\) | |||||||
\(608\) | 3.45996 | − | 2.51381i | 0.140320 | − | 0.101948i | ||||
\(609\) | 22.9514 | + | 11.1242i | 0.930037 | + | 0.450775i | ||||
\(610\) | 2.43351 | + | 7.48958i | 0.0985301 | + | 0.303244i | ||||
\(611\) | 5.47690 | − | 6.08271i | 0.221572 | − | 0.246080i | ||||
\(612\) | −0.924960 | + | 0.411819i | −0.0373893 | + | 0.0166468i | ||||
\(613\) | 3.33663 | + | 31.7460i | 0.134765 | + | 1.28221i | 0.827685 | + | 0.561192i | \(0.189657\pi\) |
−0.692920 | + | 0.721014i | \(0.743676\pi\) | |||||||
\(614\) | 12.5206 | − | 2.66133i | 0.505290 | − | 0.107403i | ||||
\(615\) | 7.29757 | 0.294266 | ||||||||
\(616\) | −4.31493 | + | 7.64077i | −0.173854 | + | 0.307855i | ||||
\(617\) | −17.1429 | −0.690149 | −0.345074 | − | 0.938575i | \(-0.612146\pi\) | ||||
−0.345074 | + | 0.938575i | \(0.612146\pi\) | |||||||
\(618\) | 11.1032 | − | 2.36005i | 0.446635 | − | 0.0949352i | ||||
\(619\) | 3.62683 | + | 34.5070i | 0.145775 | + | 1.38695i | 0.785744 | + | 0.618552i | \(0.212280\pi\) |
−0.639970 | + | 0.768400i | \(0.721053\pi\) | |||||||
\(620\) | 4.30644 | − | 1.91735i | 0.172951 | − | 0.0770026i | ||||
\(621\) | −2.67693 | + | 2.97303i | −0.107422 | + | 0.119304i | ||||
\(622\) | 5.17757 | + | 15.9349i | 0.207602 | + | 0.638932i | ||||
\(623\) | −10.2620 | + | 6.95865i | −0.411137 | + | 0.278792i | ||||
\(624\) | 2.69574 | − | 1.95857i | 0.107916 | − | 0.0784056i | ||||
\(625\) | 3.84353 | − | 0.816967i | 0.153741 | − | 0.0326787i | ||||
\(626\) | 4.97304 | − | 8.61355i | 0.198763 | − | 0.344267i | ||||
\(627\) | −14.1719 | + | 0.595041i | −0.565970 | + | 0.0237636i | ||||
\(628\) | −1.29236 | − | 2.23843i | −0.0515708 | − | 0.0893232i | ||||
\(629\) | 0.997858 | − | 3.07109i | 0.0397872 | − | 0.122452i | ||||
\(630\) | −3.87282 | − | 0.955469i | −0.154297 | − | 0.0380668i | ||||
\(631\) | −13.0403 | − | 9.47434i | −0.519127 | − | 0.377167i | 0.297148 | − | 0.954831i | \(-0.403964\pi\) |
−0.816275 | + | 0.577664i | \(0.803964\pi\) | |||||||
\(632\) | −9.47165 | + | 10.5193i | −0.376762 | + | 0.418437i | ||||
\(633\) | −3.84239 | − | 0.816725i | −0.152721 | − | 0.0324619i | ||||
\(634\) | 15.4378 | − | 6.87335i | 0.613113 | − | 0.272976i | ||||
\(635\) | 13.8395 | + | 6.16173i | 0.549203 | + | 0.244521i | ||||
\(636\) | 0.248228 | − | 0.763969i | 0.00984290 | − | 0.0302933i | ||||
\(637\) | −3.93703 | + | 22.9902i | −0.155991 | + | 0.910904i | ||||
\(638\) | 2.00517 | − | 31.9095i | 0.0793856 | − | 1.26331i | ||||
\(639\) | 6.27198 | + | 10.8634i | 0.248116 | + | 0.429749i | ||||
\(640\) | −1.00883 | − | 1.12042i | −0.0398776 | − | 0.0442886i | ||||
\(641\) | 3.47507 | + | 33.0631i | 0.137257 | + | 1.30591i | 0.818775 | + | 0.574114i | \(0.194653\pi\) |
−0.681518 | + | 0.731801i | \(0.738680\pi\) | |||||||
\(642\) | 0.144538 | − | 1.37519i | 0.00570445 | − | 0.0542742i | ||||
\(643\) | 9.68045 | + | 29.7934i | 0.381760 | + | 1.17494i | 0.938804 | + | 0.344453i | \(0.111936\pi\) |
−0.557044 | + | 0.830483i | \(0.688064\pi\) | |||||||
\(644\) | 5.58685 | − | 8.99007i | 0.220153 | − | 0.354258i | ||||
\(645\) | −10.8172 | − | 7.85916i | −0.425927 | − | 0.309454i | ||||
\(646\) | 3.95581 | + | 1.76124i | 0.155639 | + | 0.0692951i | ||||
\(647\) | 29.4213 | + | 32.6756i | 1.15667 | + | 1.28461i | 0.952110 | + | 0.305757i | \(0.0989095\pi\) |
0.204560 | + | 0.978854i | \(0.434424\pi\) | |||||||
\(648\) | 0.500000 | − | 0.866025i | 0.0196419 | − | 0.0340207i | ||||
\(649\) | 9.75382 | + | 9.95878i | 0.382871 | + | 0.390916i | ||||
\(650\) | 9.08640 | 0.356398 | ||||||||
\(651\) | −6.53123 | − | 5.07688i | −0.255979 | − | 0.198979i | ||||
\(652\) | 10.2591 | − | 7.45371i | 0.401779 | − | 0.291910i | ||||
\(653\) | 1.51009 | − | 14.3676i | 0.0590944 | − | 0.562246i | −0.924415 | − | 0.381388i | \(-0.875446\pi\) |
0.983509 | − | 0.180858i | \(-0.0578873\pi\) | |||||||
\(654\) | −1.41814 | − | 0.301436i | −0.0554538 | − | 0.0117871i | ||||
\(655\) | −10.6577 | − | 2.26536i | −0.416430 | − | 0.0885149i | ||||
\(656\) | 0.505947 | − | 4.81376i | 0.0197539 | − | 0.187946i | ||||
\(657\) | 4.32620 | − | 3.14317i | 0.168781 | − | 0.122627i | ||||
\(658\) | −0.888632 | + | 6.43805i | −0.0346425 | + | 0.250981i | ||||
\(659\) | −11.8379 | −0.461137 | −0.230569 | − | 0.973056i | \(-0.574059\pi\) | ||||
−0.230569 | + | 0.973056i | \(0.574059\pi\) | |||||||
\(660\) | 0.730844 | + | 4.94670i | 0.0284481 | + | 0.192550i | ||||
\(661\) | 9.16905 | − | 15.8813i | 0.356635 | − | 0.617709i | −0.630762 | − | 0.775977i | \(-0.717257\pi\) |
0.987396 | + | 0.158267i | \(0.0505907\pi\) | |||||||
\(662\) | 22.0963 | + | 24.5404i | 0.858798 | + | 0.953792i | ||||
\(663\) | 3.08208 | + | 1.37223i | 0.119698 | + | 0.0532929i | ||||
\(664\) | −8.48613 | − | 6.16553i | −0.329326 | − | 0.239269i | ||||
\(665\) | 8.04612 | + | 15.0430i | 0.312015 | + | 0.583342i | ||||
\(666\) | 0.985545 | + | 3.03319i | 0.0381891 | + | 0.117534i | ||||
\(667\) | −4.03125 | + | 38.3548i | −0.156091 | + | 1.48510i | ||||
\(668\) | 2.20136 | + | 20.9446i | 0.0851733 | + | 0.810370i | ||||
\(669\) | 16.1565 | + | 17.9436i | 0.624646 | + | 0.693740i | ||||
\(670\) | 1.45162 | + | 2.51429i | 0.0560811 | + | 0.0971354i | ||||
\(671\) | −16.1076 | − | 6.37605i | −0.621827 | − | 0.246145i | ||||
\(672\) | −0.898770 | + | 2.48842i | −0.0346708 | + | 0.0959927i | ||||
\(673\) | −1.02569 | + | 3.15674i | −0.0395373 | + | 0.121683i | −0.968877 | − | 0.247542i | \(-0.920377\pi\) |
0.929340 | + | 0.369226i | \(0.120377\pi\) | |||||||
\(674\) | −17.3113 | − | 7.70747i | −0.666805 | − | 0.296881i | ||||
\(675\) | 2.49116 | − | 1.10913i | 0.0958847 | − | 0.0426906i | ||||
\(676\) | 1.85552 | + | 0.394404i | 0.0713663 | + | 0.0151694i | ||||
\(677\) | 25.6729 | − | 28.5127i | 0.986690 | − | 1.09583i | −0.00870368 | − | 0.999962i | \(-0.502771\pi\) |
0.995394 | − | 0.0958685i | \(-0.0305628\pi\) | |||||||
\(678\) | 9.71078 | + | 7.05529i | 0.372940 | + | 0.270957i | ||||
\(679\) | 7.51932 | + | 1.85510i | 0.288565 | + | 0.0711924i | ||||
\(680\) | 0.471719 | − | 1.45180i | 0.0180896 | − | 0.0556740i | ||||
\(681\) | 8.03777 | + | 13.9218i | 0.308008 | + | 0.533486i | ||||
\(682\) | −2.78793 | + | 9.98814i | −0.106755 | + | 0.382466i | ||||
\(683\) | 3.46045 | − | 5.99367i | 0.132410 | − | 0.229341i | −0.792195 | − | 0.610268i | \(-0.791062\pi\) |
0.924605 | + | 0.380927i | \(0.124395\pi\) | |||||||
\(684\) | −4.18328 | + | 0.889184i | −0.159952 | + | 0.0339988i | ||||
\(685\) | −2.67842 | + | 1.94599i | −0.102337 | + | 0.0743523i | ||||
\(686\) | −7.65776 | − | 16.8629i | −0.292375 | − | 0.643830i | ||||
\(687\) | 1.24608 | + | 3.83504i | 0.0475409 | + | 0.146316i | ||||
\(688\) | −5.93417 | + | 6.59057i | −0.226238 | + | 0.251263i | ||||
\(689\) | −2.44523 | + | 1.08869i | −0.0931559 | + | 0.0414757i | ||||
\(690\) | −0.630477 | − | 5.99859i | −0.0240018 | − | 0.228362i | ||||
\(691\) | 10.4277 | − | 2.21647i | 0.396687 | − | 0.0843184i | −0.00524906 | − | 0.999986i | \(-0.501671\pi\) |
0.401936 | + | 0.915668i | \(0.368338\pi\) | |||||||
\(692\) | 22.3091 | 0.848065 | ||||||||
\(693\) | 7.04967 | − | 5.22515i | 0.267795 | − | 0.198487i | ||||
\(694\) | −20.9843 | −0.796553 | ||||||||
\(695\) | 28.5074 | − | 6.05944i | 1.08135 | − | 0.229848i | ||||
\(696\) | −1.00766 | − | 9.58724i | −0.0381952 | − | 0.363403i | ||||
\(697\) | 4.47706 | − | 1.99331i | 0.169581 | − | 0.0755022i | ||||
\(698\) | 6.03337 | − | 6.70074i | 0.228366 | − | 0.253627i | ||||
\(699\) | −8.41352 | − | 25.8941i | −0.318228 | − | 0.979407i | ||||
\(700\) | −5.97132 | + | 4.04916i | −0.225695 | + | 0.153044i | ||||
\(701\) | 26.5866 | − | 19.3163i | 1.00416 | − | 0.729566i | 0.0411853 | − | 0.999152i | \(-0.486887\pi\) |
0.962977 | + | 0.269585i | \(0.0868866\pi\) | |||||||
\(702\) | −3.25931 | + | 0.692787i | −0.123015 | + | 0.0261475i | ||||
\(703\) | 6.81988 | − | 11.8124i | 0.257217 | − | 0.445513i | ||||
\(704\) | 3.31371 | − | 0.139134i | 0.124890 | − | 0.00524382i | ||||
\(705\) | 1.85175 | + | 3.20732i | 0.0697408 | + | 0.120795i | ||||
\(706\) | 4.70239 | − | 14.4725i | 0.176977 | − | 0.544679i | ||||
\(707\) | 34.3806 | − | 35.7783i | 1.29302 | − | 1.34558i | ||||
\(708\) | 3.40027 | + | 2.47044i | 0.127790 | + | 0.0928449i | ||||
\(709\) | −12.3759 | + | 13.7449i | −0.464788 | + | 0.516199i | −0.929279 | − | 0.369379i | \(-0.879571\pi\) |
0.464491 | + | 0.885578i | \(0.346237\pi\) | |||||||
\(710\) | −18.4990 | − | 3.93207i | −0.694253 | − | 0.147568i | ||||
\(711\) | 12.9314 | − | 5.75742i | 0.484965 | − | 0.215920i | ||||
\(712\) | 4.28116 | + | 1.90610i | 0.160443 | + | 0.0714339i | ||||
\(713\) | 3.86535 | − | 11.8963i | 0.144758 | − | 0.445520i | ||||
\(714\) | −2.63696 | + | 0.471671i | −0.0986856 | + | 0.0176518i | ||||
\(715\) | 10.6197 | − | 12.8390i | 0.397156 | − | 0.480152i | ||||
\(716\) | 2.13500 | + | 3.69793i | 0.0797886 | + | 0.138198i | ||||
\(717\) | 8.63997 | + | 9.59566i | 0.322666 | + | 0.358356i | ||||
\(718\) | 1.03944 | + | 9.88957i | 0.0387914 | + | 0.369075i | ||||
\(719\) | −2.23205 | + | 21.2366i | −0.0832416 | + | 0.791991i | 0.870663 | + | 0.491880i | \(0.163690\pi\) |
−0.953904 | + | 0.300110i | \(0.902976\pi\) | |||||||
\(720\) | 0.465898 | + | 1.43389i | 0.0173630 | + | 0.0534378i | ||||
\(721\) | 30.0167 | + | 0.974139i | 1.11788 | + | 0.0362788i | ||||
\(722\) | −0.573986 | − | 0.417025i | −0.0213616 | − | 0.0155201i | ||||
\(723\) | −22.9848 | − | 10.2335i | −0.854815 | − | 0.380588i | ||||
\(724\) | −13.4975 | − | 14.9905i | −0.501632 | − | 0.557118i | ||||
\(725\) | 13.1438 | − | 22.7657i | 0.488148 | − | 0.845496i | ||||
\(726\) | −9.40986 | − | 5.69689i | −0.349233 | − | 0.211431i | ||||
\(727\) | −4.37419 | −0.162230 | −0.0811148 | − | 0.996705i | \(-0.525848\pi\) | ||||
−0.0811148 | + | 0.996705i | \(0.525848\pi\) | |||||||
\(728\) | 8.16585 | − | 3.32265i | 0.302647 | − | 0.123146i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −0.842735 | + | 8.01809i | −0.0311910 | + | 0.296763i | ||||
\(731\) | −8.78307 | − | 1.86690i | −0.324854 | − | 0.0690497i | ||||
\(732\) | −5.10914 | − | 1.08598i | −0.188839 | − | 0.0401390i | ||||
\(733\) | 5.37383 | − | 51.1285i | 0.198487 | − | 1.88848i | −0.212989 | − | 0.977055i | \(-0.568320\pi\) |
0.411476 | − | 0.911421i | \(-0.365014\pi\) | |||||||
\(734\) | −28.5187 | + | 20.7200i | −1.05264 | + | 0.764790i | ||||
\(735\) | −9.34271 | − | 4.90868i | −0.344611 | − | 0.181060i | ||||
\(736\) | −4.00061 | −0.147464 | ||||||||
\(737\) | −6.29728 | − | 1.06462i | −0.231963 | − | 0.0392158i | ||||
\(738\) | −2.42014 | + | 4.19180i | −0.0890865 | + | 0.154302i | ||||
\(739\) | −17.9604 | − | 19.9470i | −0.660683 | − | 0.733762i | 0.315927 | − | 0.948784i | \(-0.397685\pi\) |
−0.976609 | + | 0.215021i | \(0.931018\pi\) | |||||||
\(740\) | −4.39271 | − | 1.95576i | −0.161479 | − | 0.0718951i | ||||
\(741\) | 11.5290 | + | 8.37630i | 0.423528 | + | 0.307711i | ||||
\(742\) | 1.12179 | − | 1.80512i | 0.0411821 | − | 0.0662680i | ||||
\(743\) | −4.01206 | − | 12.3479i | −0.147188 | − | 0.452999i | 0.850098 | − | 0.526625i | \(-0.176543\pi\) |
−0.997286 | + | 0.0736263i | \(0.976543\pi\) | |||||||
\(744\) | −0.326824 | + | 3.10953i | −0.0119820 | + | 0.114001i | ||||
\(745\) | 2.39938 | + | 22.8286i | 0.0879064 | + | 0.836374i | ||||
\(746\) | −17.2619 | − | 19.1713i | −0.632003 | − | 0.701911i | ||||
\(747\) | 5.24472 | + | 9.08412i | 0.191894 | + | 0.332370i | ||||
\(748\) | 1.79955 | + | 2.83517i | 0.0657982 | + | 0.103664i | ||||
\(749\) | 1.24278 | − | 3.44088i | 0.0454103 | − | 0.125727i | ||||
\(750\) | −3.59995 | + | 11.0795i | −0.131452 | + | 0.404566i | ||||
\(751\) | 28.7120 | + | 12.7834i | 1.04772 | + | 0.466473i | 0.857078 | − | 0.515187i | \(-0.172278\pi\) |
0.190638 | + | 0.981660i | \(0.438944\pi\) | |||||||
\(752\) | 2.24405 | − | 0.999117i | 0.0818322 | − | 0.0364341i | ||||
\(753\) | −14.7362 | − | 3.13227i | −0.537016 | − | 0.114146i | ||||
\(754\) | −21.4937 | + | 23.8711i | −0.782753 | + | 0.869336i | ||||
\(755\) | 26.8165 | + | 19.4833i | 0.975953 | + | 0.709072i | ||||
\(756\) | 1.83320 | − | 1.90772i | 0.0666727 | − | 0.0693830i | ||||
\(757\) | 2.61420 | − | 8.04567i | 0.0950146 | − | 0.292425i | −0.892243 | − | 0.451556i | \(-0.850869\pi\) |
0.987257 | + | 0.159131i | \(0.0508692\pi\) | |||||||
\(758\) | 14.8894 | + | 25.7892i | 0.540807 | + | 0.936705i | ||||
\(759\) | 11.0522 | + | 7.34186i | 0.401169 | + | 0.266493i | ||||
\(760\) | 3.22397 | − | 5.58408i | 0.116946 | − | 0.202556i | ||||
\(761\) | 5.25848 | − | 1.11773i | 0.190620 | − | 0.0405175i | −0.111612 | − | 0.993752i | \(-0.535602\pi\) |
0.302232 | + | 0.953234i | \(0.402268\pi\) | |||||||
\(762\) | −8.12903 | + | 5.90609i | −0.294484 | + | 0.213955i | ||||
\(763\) | −3.45180 | − | 1.67304i | −0.124964 | − | 0.0605680i | ||||
\(764\) | −4.47499 | − | 13.7726i | −0.161900 | − | 0.498276i | ||||
\(765\) | −1.02144 | + | 1.13442i | −0.0369301 | + | 0.0410151i | ||||
\(766\) | 18.7935 | − | 8.36739i | 0.679036 | − | 0.302326i | ||||
\(767\) | −1.46390 | − | 13.9281i | −0.0528583 | − | 0.502914i | ||||
\(768\) | 0.978148 | − | 0.207912i | 0.0352959 | − | 0.00750237i | ||||
\(769\) | 8.08465 | 0.291540 | 0.145770 | − | 0.989319i | \(-0.453434\pi\) | ||||
0.145770 | + | 0.989319i | \(0.453434\pi\) | |||||||
\(770\) | −1.25756 | + | 13.1699i | −0.0453193 | + | 0.474610i | ||||
\(771\) | −13.8645 | −0.499317 | ||||||||
\(772\) | 26.2489 | − | 5.57938i | 0.944719 | − | 0.200806i | ||||
\(773\) | 3.94800 | + | 37.5627i | 0.142000 | + | 1.35104i | 0.800896 | + | 0.598804i | \(0.204357\pi\) |
−0.658896 | + | 0.752234i | \(0.728976\pi\) | |||||||
\(774\) | 8.10176 | − | 3.60714i | 0.291212 | − | 0.129656i | ||||
\(775\) | −5.70508 | + | 6.33613i | −0.204933 | + | 0.227601i | ||||
\(776\) | −0.904571 | − | 2.78398i | −0.0324722 | − | 0.0999391i | ||||
\(777\) | 0.609355 | + | 8.41604i | 0.0218605 | + | 0.301924i | ||||
\(778\) | −3.86255 | + | 2.80631i | −0.138479 | + | 0.100611i | ||||
\(779\) | 20.2482 | − | 4.30390i | 0.725469 | − | 0.154203i | ||||
\(780\) | 2.51188 | − | 4.35070i | 0.0899397 | − | 0.155780i | ||||
\(781\) | 32.6025 | − | 25.8444i | 1.16661 | − | 0.924786i | ||||
\(782\) | −2.02530 | − | 3.50792i | −0.0724245 | − | 0.125443i | ||||
\(783\) | −2.97894 | + | 9.16823i | −0.106459 | + | 0.327646i | ||||
\(784\) | −3.88570 | + | 5.82249i | −0.138775 | + | 0.207946i | ||||
\(785\) | −3.15268 | − | 2.29055i | −0.112524 | − | 0.0817534i | ||||
\(786\) | 4.83572 | − | 5.37061i | 0.172484 | − | 0.191563i | ||||
\(787\) | 32.8511 | + | 6.98272i | 1.17102 | + | 0.248907i | 0.752057 | − | 0.659098i | \(-0.229062\pi\) |
0.418959 | + | 0.908005i | \(0.362395\pi\) | |||||||
\(788\) | 5.92905 | − | 2.63979i | 0.211214 | − | 0.0940385i | ||||
\(789\) | 0.916825 | + | 0.408197i | 0.0326398 | + | 0.0145322i | ||||
\(790\) | −6.59485 | + | 20.2969i | −0.234634 | + | 0.722130i | ||||
\(791\) | 20.4732 | + | 24.2772i | 0.727943 | + | 0.863198i | ||||
\(792\) | −3.08381 | − | 1.22070i | −0.109578 | − | 0.0433757i | ||||
\(793\) | 8.70229 | + | 15.0728i | 0.309028 | + | 0.535251i | ||||
\(794\) | −8.38679 | − | 9.31447i | −0.297636 | − | 0.330558i | ||||
\(795\) | −0.126594 | − | 1.20446i | −0.00448981 | − | 0.0427177i | ||||
\(796\) | −0.184478 | + | 1.75519i | −0.00653864 | + | 0.0622110i | ||||
\(797\) | 6.22274 | + | 19.1516i | 0.220421 | + | 0.678385i | 0.998724 | + | 0.0504969i | \(0.0160805\pi\) |
−0.778304 | + | 0.627888i | \(0.783920\pi\) | |||||||
\(798\) | −11.3092 | − | 0.367021i | −0.400343 | − | 0.0129924i | ||||
\(799\) | 2.01212 | + | 1.46189i | 0.0711836 | + | 0.0517179i | ||||
\(800\) | 2.49116 | + | 1.10913i | 0.0880757 | + | 0.0392138i | ||||
\(801\) | −3.13576 | − | 3.48261i | −0.110796 | − | 0.123052i | ||||
\(802\) | −14.3558 | + | 24.8649i | −0.506919 | + | 0.878010i | ||||
\(803\) | −12.4099 | − | 12.6706i | −0.437935 | − | 0.447137i | ||||
\(804\) | −1.92564 | −0.0679122 | ||||||||
\(805\) | 2.18199 | − | 15.8083i | 0.0769052 | − | 0.557170i | ||||
\(806\) | 8.42865 | − | 6.12377i | 0.296887 | − | 0.215701i | ||||
\(807\) | 0.772011 | − | 7.34519i | 0.0271761 | − | 0.258563i | ||||
\(808\) | −18.3446 | − | 3.89927i | −0.645362 | − | 0.137176i | ||||
\(809\) | 15.4440 | + | 3.28271i | 0.542981 | + | 0.115414i | 0.471233 | − | 0.882009i | \(-0.343809\pi\) |
0.0717476 | + | 0.997423i | \(0.477142\pi\) | |||||||
\(810\) | 0.157595 | − | 1.49942i | 0.00553733 | − | 0.0526842i | ||||
\(811\) | −42.2704 | + | 30.7113i | −1.48431 | + | 1.07842i | −0.508180 | + | 0.861251i | \(0.669682\pi\) |
−0.976134 | + | 0.217167i | \(0.930318\pi\) | |||||||
\(812\) | 3.48737 | − | 25.2656i | 0.122383 | − | 0.886649i | ||||
\(813\) | −5.81173 | −0.203826 | ||||||||
\(814\) | 9.47420 | − | 4.70392i | 0.332070 | − | 0.164872i | ||||
\(815\) | 9.55943 | − | 16.5574i | 0.334852 | − | 0.579981i | ||||
\(816\) | 0.677491 | + | 0.752430i | 0.0237169 | + | 0.0263403i | ||||
\(817\) | −34.6491 | − | 15.4268i | −1.21222 | − | 0.539715i | ||||
\(818\) | −28.9536 | − | 21.0361i | −1.01234 | − | 0.735509i | ||||
\(819\) | −8.81132 | − | 0.285956i | −0.307892 | − | 0.00999210i | ||||
\(820\) | −2.25507 | − | 6.94040i | −0.0787506 | − | 0.242369i | ||||
\(821\) | −1.76344 | + | 16.7780i | −0.0615444 | + | 0.585555i | 0.919678 | + | 0.392674i | \(0.128450\pi\) |
−0.981222 | + | 0.192881i | \(0.938217\pi\) | |||||||
\(822\) | −0.229534 | − | 2.18387i | −0.00800593 | − | 0.0761713i | ||||
\(823\) | −11.2650 | − | 12.5111i | −0.392675 | − | 0.436109i | 0.514097 | − | 0.857732i | \(-0.328127\pi\) |
−0.906771 | + | 0.421623i | \(0.861461\pi\) | |||||||
\(824\) | −5.67561 | − | 9.83045i | −0.197719 | − | 0.342460i | ||||
\(825\) | −4.84667 | − | 7.63586i | −0.168739 | − | 0.265847i | ||||
\(826\) | 7.16878 | + | 8.50078i | 0.249434 | + | 0.295780i | ||||
\(827\) | −5.65424 | + | 17.4020i | −0.196617 | + | 0.605126i | 0.803337 | + | 0.595525i | \(0.203056\pi\) |
−0.999954 | + | 0.00960049i | \(0.996944\pi\) | |||||||
\(828\) | 3.65474 | + | 1.62720i | 0.127011 | + | 0.0565489i | ||||
\(829\) | 17.5400 | − | 7.80930i | 0.609188 | − | 0.271228i | −0.0788683 | − | 0.996885i | \(-0.525131\pi\) |
0.688057 | + | 0.725657i | \(0.258464\pi\) | |||||||
\(830\) | −15.4691 | − | 3.28805i | −0.536940 | − | 0.114130i | ||||
\(831\) | −11.1115 | + | 12.3405i | −0.385453 | + | 0.428089i | ||||
\(832\) | −2.69574 | − | 1.95857i | −0.0934580 | − | 0.0679012i | ||||
\(833\) | −7.07255 | − | 0.459538i | −0.245049 | − | 0.0159220i | ||||
\(834\) | −5.97348 | + | 18.3845i | −0.206845 | + | 0.636603i | ||||
\(835\) | 15.8758 | + | 27.4977i | 0.549404 | + | 0.951596i | ||||
\(836\) | 4.94526 | + | 13.2944i | 0.171035 | + | 0.459795i | ||||
\(837\) | 1.56333 | − | 2.70776i | 0.0540365 | − | 0.0935939i | ||||
\(838\) | 10.4210 | − | 2.21504i | 0.359986 | − | 0.0765174i | ||||
\(839\) | −35.7419 | + | 25.9680i | −1.23395 | + | 0.896515i | −0.997180 | − | 0.0750511i | \(-0.976088\pi\) |
−0.236768 | + | 0.971566i | \(0.576088\pi\) | |||||||
\(840\) | 0.288061 | + | 3.97852i | 0.00993905 | + | 0.137272i | ||||
\(841\) | 19.7556 | + | 60.8015i | 0.681228 | + | 2.09660i | ||||
\(842\) | 21.4878 | − | 23.8647i | 0.740520 | − | 0.822431i | ||||
\(843\) | −0.124590 | + | 0.0554711i | −0.00429111 | + | 0.00191053i | ||||
\(844\) | 0.410612 | + | 3.90671i | 0.0141338 | + | 0.134475i | ||||
\(845\) | 2.79753 | − | 0.594633i | 0.0962380 | − | 0.0204560i | ||||
\(846\) | −2.45642 | −0.0844536 | ||||||||
\(847\) | −20.5611 | − | 20.5971i | −0.706487 | − | 0.707726i | ||||
\(848\) | −0.803284 | −0.0275849 | ||||||||
\(849\) | 1.54627 | − | 0.328669i | 0.0530677 | − | 0.0112799i | ||||
\(850\) | 0.288601 | + | 2.74586i | 0.00989894 | + | 0.0941821i | ||||
\(851\) | −11.6560 | + | 5.18960i | −0.399563 | + | 0.177897i | ||||
\(852\) | 8.39355 | − | 9.32198i | 0.287558 | − | 0.319366i | ||||
\(853\) | −8.43569 | − | 25.9624i | −0.288833 | − | 0.888935i | −0.985224 | − | 0.171273i | \(-0.945212\pi\) |
0.696391 | − | 0.717663i | \(-0.254788\pi\) | |||||||
\(854\) | −12.4358 | − | 6.02743i | −0.425543 | − | 0.206255i | ||||
\(855\) | −5.21649 | + | 3.79001i | −0.178400 | + | 0.129615i | ||||
\(856\) | −1.35254 | + | 0.287492i | −0.0462290 | + | 0.00982628i | ||||
\(857\) | 25.4210 | − | 44.0304i | 0.868364 | − | 1.50405i | 0.00469635 | − | 0.999989i | \(-0.498505\pi\) |
0.863668 | − | 0.504062i | \(-0.168162\pi\) | |||||||
\(858\) | 3.85298 | + | 10.3580i | 0.131539 | + | 0.353616i | ||||
\(859\) | −19.7826 | − | 34.2645i | −0.674975 | − | 1.16909i | −0.976476 | − | 0.215625i | \(-0.930821\pi\) |
0.301502 | − | 0.953466i | \(-0.402512\pi\) | |||||||
\(860\) | −4.13180 | + | 12.7164i | −0.140893 | + | 0.433625i | ||||
\(861\) | −8.87318 | + | 9.23388i | −0.302397 | + | 0.314690i | ||||
\(862\) | −16.7033 | − | 12.1357i | −0.568917 | − | 0.413343i | ||||
\(863\) | 23.1857 | − | 25.7503i | 0.789250 | − | 0.876551i | −0.205524 | − | 0.978652i | \(-0.565890\pi\) |
0.994774 | + | 0.102101i | \(0.0325564\pi\) | |||||||
\(864\) | −0.978148 | − | 0.207912i | −0.0332773 | − | 0.00707330i | ||||
\(865\) | 30.7270 | − | 13.6805i | 1.04475 | − | 0.465153i | ||||
\(866\) | −26.7859 | − | 11.9258i | −0.910221 | − | 0.405256i | ||||
\(867\) | 4.93650 | − | 15.1930i | 0.167652 | − | 0.515981i | ||||
\(868\) | −2.81014 | + | 7.78041i | −0.0953824 | + | 0.264084i | ||||
\(869\) | −25.1586 | − | 39.6371i | −0.853448 | − | 1.34460i | ||||
\(870\) | −7.26703 | − | 12.5869i | −0.246376 | − | 0.426735i | ||||
\(871\) | 4.29346 | + | 4.76837i | 0.145478 | + | 0.161570i | ||||
\(872\) | 0.151548 | + | 1.44188i | 0.00513207 | + | 0.0488283i | ||||
\(873\) | −0.305981 | + | 2.91122i | −0.0103559 | + | 0.0985297i | ||||
\(874\) | −5.28715 | − | 16.2722i | −0.178841 | − | 0.550415i | ||||
\(875\) | −16.2688 | + | 26.1789i | −0.549985 | + | 0.885007i | ||||
\(876\) | −4.32620 | − | 3.14317i | −0.146169 | − | 0.106198i | ||||
\(877\) | −5.22514 | − | 2.32638i | −0.176440 | − | 0.0785564i | 0.316615 | − | 0.948554i | \(-0.397454\pi\) |
−0.493056 | + | 0.869998i | \(0.664120\pi\) | |||||||
\(878\) | 12.4533 | + | 13.8308i | 0.420279 | + | 0.466768i | ||||
\(879\) | 0.964970 | − | 1.67138i | 0.0325476 | − | 0.0563742i | ||||
\(880\) | 4.47875 | − | 2.22369i | 0.150979 | − | 0.0749605i | ||||
\(881\) | −40.5590 | −1.36647 | −0.683233 | − | 0.730200i | \(-0.739427\pi\) | ||||
−0.683233 | + | 0.730200i | \(0.739427\pi\) | |||||||
\(882\) | 5.91798 | − | 3.73865i | 0.199269 | − | 0.125887i | ||||
\(883\) | 34.4233 | − | 25.0100i | 1.15844 | − | 0.841652i | 0.168856 | − | 0.985641i | \(-0.445993\pi\) |
0.989579 | + | 0.143988i | \(0.0459928\pi\) | |||||||
\(884\) | 0.352653 | − | 3.35527i | 0.0118610 | − | 0.112850i | ||||
\(885\) | 6.19824 | + | 1.31748i | 0.208352 | + | 0.0442865i | ||||
\(886\) | −4.55882 | − | 0.969008i | −0.153157 | − | 0.0325545i | ||||
\(887\) | −4.79505 | + | 45.6219i | −0.161002 | + | 1.53183i | 0.553886 | + | 0.832593i | \(0.313144\pi\) |
−0.714888 | + | 0.699239i | \(0.753522\pi\) | |||||||
\(888\) | 2.58019 | − | 1.87462i | 0.0865855 | − | 0.0629080i | ||||
\(889\) | −24.6242 | + | 10.0195i | −0.825869 | + | 0.336043i | ||||
\(890\) | 7.06544 | 0.236834 | ||||||||
\(891\) | 2.32070 | + | 2.36946i | 0.0777463 | + | 0.0793800i | ||||
\(892\) | 12.0728 | − | 20.9106i | 0.404226 | − | 0.700140i | ||||
\(893\) | 7.02954 | + | 7.80710i | 0.235235 | + | 0.261255i | ||||
\(894\) | −13.9087 | − | 6.19255i | −0.465176 | − | 0.207110i | ||||
\(895\) | 5.20827 | + | 3.78403i | 0.174093 | + | 0.126486i | ||||
\(896\) | 2.64436 | + | 0.0858180i | 0.0883418 | + | 0.00286698i | ||||
\(897\) | −4.11936 | − | 12.6781i | −0.137541 | − | 0.423309i | ||||
\(898\) | −2.91493 | + | 27.7337i | −0.0972723 | + | 0.925484i | ||||
\(899\) | −3.15060 | − | 29.9760i | −0.105078 | − | 0.999754i | ||||
\(900\) | −1.82466 | − | 2.02649i | −0.0608220 | − | 0.0675497i | ||||
\(901\) | −0.406660 | − | 0.704356i | −0.0135478 | − | 0.0234655i | ||||
\(902\) | 14.9265 | + | 5.90852i | 0.496998 | + | 0.196732i | ||||
\(903\) | 23.0972 | − | 4.13139i | 0.768627 | − | 0.137484i | ||||
\(904\) | 3.70919 | − | 11.4157i | 0.123366 | − | 0.379681i | ||||
\(905\) | −27.7832 | − | 12.3699i | −0.923544 | − | 0.411188i | ||||
\(906\) | −20.0848 | + | 8.94232i | −0.667272 | + | 0.297089i | ||||
\(907\) | −22.9893 | − | 4.88652i | −0.763346 | − | 0.162254i | −0.190243 | − | 0.981737i | \(-0.560927\pi\) |
−0.573104 | + | 0.819483i | \(0.694261\pi\) | |||||||
\(908\) | 10.7566 | − | 11.9465i | 0.356972 | − | 0.396457i | ||||
\(909\) | 15.1727 | + | 11.0236i | 0.503246 | + | 0.365630i | ||||
\(910\) | 9.20954 | − | 9.58392i | 0.305293 | − | 0.317704i | ||||
\(911\) | −9.54374 | + | 29.3726i | −0.316198 | + | 0.973158i | 0.659060 | + | 0.752090i | \(0.270954\pi\) |
−0.975258 | + | 0.221068i | \(0.929046\pi\) | |||||||
\(912\) | 2.13837 | + | 3.70377i | 0.0708085 | + | 0.122644i | ||||
\(913\) | 27.2627 | − | 21.6115i | 0.902263 | − | 0.715235i | ||||
\(914\) | −3.11077 | + | 5.38801i | −0.102895 | + | 0.178220i | ||||
\(915\) | −7.70292 | + | 1.63731i | −0.254651 | + | 0.0541277i | ||||
\(916\) | 3.26228 | − | 2.37018i | 0.107789 | − | 0.0783130i | ||||
\(917\) | 15.8252 | − | 10.7311i | 0.522594 | − | 0.354372i | ||||
\(918\) | −0.312878 | − | 0.962939i | −0.0103265 | − | 0.0317817i | ||||
\(919\) | −15.0454 | + | 16.7096i | −0.496300 | + | 0.551197i | −0.938302 | − | 0.345817i | \(-0.887602\pi\) |
0.442002 | + | 0.897014i | \(0.354269\pi\) | |||||||
\(920\) | −5.51017 | + | 2.45328i | −0.181665 | + | 0.0808824i | ||||
\(921\) | 1.33800 | + | 12.7302i | 0.0440885 | + | 0.419474i | ||||
\(922\) | −3.74351 | + | 0.795708i | −0.123286 | + | 0.0262052i | ||||
\(923\) | −41.7980 | −1.37580 | ||||||||
\(924\) | −7.14788 | − | 5.08997i | −0.235148 | − | 0.167448i | ||||
\(925\) | 8.69691 | 0.285953 | ||||||||
\(926\) | 11.2118 | − | 2.38315i | 0.368444 | − | 0.0783152i | ||||
\(927\) | 1.18653 | + | 11.2890i | 0.0389706 | + | 0.370781i | ||||
\(928\) | −8.80662 | + | 3.92096i | −0.289091 | + | 0.128712i | ||||
\(929\) | −15.6759 | + | 17.4099i | −0.514310 | + | 0.571199i | −0.943229 | − | 0.332144i | \(-0.892228\pi\) |
0.428919 | + | 0.903343i | \(0.358895\pi\) | |||||||
\(930\) | 1.45670 | + | 4.48326i | 0.0477671 | + | 0.147012i | ||||
\(931\) | −28.8178 | − | 8.10985i | −0.944465 | − | 0.265790i | ||||
\(932\) | −22.0269 | + | 16.0035i | −0.721514 | + | 0.524211i | ||||
\(933\) | −16.3888 | + | 3.48355i | −0.536546 | + | 0.114046i | ||||
\(934\) | 8.42054 | − | 14.5848i | 0.275528 | − | 0.477229i | ||||
\(935\) | 4.21718 | + | 2.80144i | 0.137917 | + | 0.0916167i | ||||
\(936\) | 1.66606 | + | 2.88570i | 0.0544569 | + | 0.0943221i | ||||
\(937\) | 11.3958 | − | 35.0727i | 0.372285 | − | 1.14578i | −0.573007 | − | 0.819551i | \(-0.694223\pi\) |
0.945292 | − | 0.326226i | \(-0.105777\pi\) | |||||||
\(938\) | −4.94646 | − | 1.22035i | −0.161508 | − | 0.0398458i | ||||
\(939\) | 8.04654 | + | 5.84616i | 0.262589 | + | 0.190782i | ||||
\(940\) | 2.47812 | − | 2.75223i | 0.0808273 | − | 0.0897678i | ||||
\(941\) | −26.3829 | − | 5.60786i | −0.860059 | − | 0.182811i | −0.243288 | − | 0.969954i | \(-0.578226\pi\) |
−0.616771 | + | 0.787143i | \(0.711559\pi\) | |||||||
\(942\) | 2.36126 | − | 1.05130i | 0.0769340 | − | 0.0342532i | ||||
\(943\) | −17.6899 | − | 7.87607i | −0.576064 | − | 0.256480i | ||||
\(944\) | 1.29879 | − | 3.99726i | 0.0422720 | − | 0.130100i | ||||
\(945\) | 1.35505 | − | 3.75173i | 0.0440799 | − | 0.122044i | ||||
\(946\) | −15.7624 | − | 24.8334i | −0.512479 | − | 0.807403i | ||||
\(947\) | 4.06656 | + | 7.04349i | 0.132145 | + | 0.228883i | 0.924503 | − | 0.381174i | \(-0.124480\pi\) |
−0.792358 | + | 0.610056i | \(0.791147\pi\) | |||||||
\(948\) | −9.47165 | − | 10.5193i | −0.307625 | − | 0.341652i | ||||
\(949\) | 1.86253 | + | 17.7208i | 0.0604603 | + | 0.575242i | ||||
\(950\) | −1.21904 | + | 11.5984i | −0.0395509 | + | 0.376302i | ||||
\(951\) | 5.22201 | + | 16.0717i | 0.169335 | + | 0.521160i | ||||
\(952\) | 1.26345 | + | 2.36214i | 0.0409487 | + | 0.0765574i | ||||
\(953\) | −26.1448 | − | 18.9953i | −0.846914 | − | 0.615319i | 0.0773795 | − | 0.997002i | \(-0.475345\pi\) |
−0.924293 | + | 0.381683i | \(0.875345\pi\) | |||||||
\(954\) | 0.733837 | + | 0.326725i | 0.0237588 | + | 0.0105781i | ||||
\(955\) | −14.6093 | − | 16.2253i | −0.472746 | − | 0.525037i | ||||
\(956\) | 6.45612 | − | 11.1823i | 0.208806 | − | 0.361662i | ||||
\(957\) | 31.5251 | + | 5.32964i | 1.01906 | + | 0.172283i | ||||
\(958\) | −38.7257 | −1.25117 | ||||||||
\(959\) | 0.794387 | − | 5.75525i | 0.0256521 | − | 0.185847i | ||||
\(960\) | 1.21974 | − | 0.886190i | 0.0393668 | − | 0.0286017i | ||||
\(961\) | 2.21852 | − | 21.1078i | 0.0715650 | − | 0.680896i | ||||
\(962\) | −10.3949 | − | 2.20950i | −0.335144 | − | 0.0712371i | ||||
\(963\) | 1.35254 | + | 0.287492i | 0.0435851 | + | 0.00926430i | ||||
\(964\) | −2.62994 | + | 25.0222i | −0.0847047 | + | 0.805911i | ||||
\(965\) | 32.7320 | − | 23.7812i | 1.05368 | − | 0.765544i | ||||
\(966\) | 8.35683 | + | 6.49597i | 0.268877 | + | 0.209004i | ||||
\(967\) | 33.5357 | 1.07844 | 0.539218 | − | 0.842166i | \(-0.318720\pi\) | ||||
0.539218 | + | 0.842166i | \(0.318720\pi\) | |||||||
\(968\) | −2.51025 | + | 10.7097i | −0.0806826 | + | 0.344224i | ||||
\(969\) | −2.16509 | + | 3.75004i | −0.0695526 | + | 0.120469i | ||||
\(970\) | −2.95311 | − | 3.27976i | −0.0948185 | − | 0.105307i | ||||
\(971\) | −5.01020 | − | 2.23068i | −0.160785 | − | 0.0715861i | 0.324766 | − | 0.945794i | \(-0.394714\pi\) |
−0.485551 | + | 0.874208i | \(0.661381\pi\) | |||||||
\(972\) | 0.809017 | + | 0.587785i | 0.0259492 | + | 0.0188532i | ||||
\(973\) | −26.9952 | + | 43.4392i | −0.865426 | + | 1.39260i | ||||
\(974\) | −2.99749 | − | 9.22532i | −0.0960457 | − | 0.295598i | ||||
\(975\) | −0.949787 | + | 9.03662i | −0.0304175 | + | 0.289403i | ||||
\(976\) | 0.545981 | + | 5.19466i | 0.0174764 | + | 0.166277i | ||||
\(977\) | −22.5560 | − | 25.0510i | −0.721632 | − | 0.801453i | 0.265029 | − | 0.964240i | \(-0.414618\pi\) |
−0.986661 | + | 0.162787i | \(0.947952\pi\) | |||||||
\(978\) | 6.34050 | + | 10.9821i | 0.202747 | + | 0.351168i | ||||
\(979\) | −9.90642 | + | 11.9766i | −0.316611 | + | 0.382775i | ||||
\(980\) | −1.78138 | + | 10.4023i | −0.0569041 | + | 0.332290i | ||||
\(981\) | 0.448021 | − | 1.37887i | 0.0143042 | − | 0.0440238i | ||||
\(982\) | −30.9985 | − | 13.8014i | −0.989203 | − | 0.440421i | ||||
\(983\) | 14.3917 | − | 6.40760i | 0.459024 | − | 0.204371i | −0.164179 | − | 0.986431i | \(-0.552498\pi\) |
0.623203 | + | 0.782060i | \(0.285831\pi\) | |||||||
\(984\) | 4.73450 | + | 1.00635i | 0.150930 | + | 0.0320813i | ||||
\(985\) | 6.54748 | − | 7.27172i | 0.208620 | − | 0.231696i | ||||
\(986\) | −7.89640 | − | 5.73707i | −0.251473 | − | 0.182706i | ||||
\(987\) | −6.30989 | − | 1.55672i | −0.200846 | − | 0.0495510i | ||||
\(988\) | 4.40368 | − | 13.5531i | 0.140100 | − | 0.431183i | ||||
\(989\) | 17.7397 | + | 30.7260i | 0.564089 | + | 0.977031i | ||||
\(990\) | −4.99600 | + | 0.209769i | −0.158783 | + | 0.00666691i | ||||
\(991\) | −25.5245 | + | 44.2098i | −0.810814 | + | 1.40437i | 0.101482 | + | 0.994837i | \(0.467642\pi\) |
−0.912295 | + | 0.409533i | \(0.865692\pi\) | |||||||
\(992\) | 3.05833 | − | 0.650068i | 0.0971020 | − | 0.0206397i | ||||
\(993\) | −26.7157 | + | 19.4101i | −0.847797 | + | 0.615961i | ||||
\(994\) | 27.4684 | − | 18.6264i | 0.871246 | − | 0.590792i | ||||
\(995\) | 0.822243 | + | 2.53060i | 0.0260669 | + | 0.0802255i | ||||
\(996\) | 7.01880 | − | 7.79517i | 0.222399 | − | 0.246999i | ||||
\(997\) | −0.797693 | + | 0.355156i | −0.0252632 | + | 0.0112479i | −0.419329 | − | 0.907834i | \(-0.637735\pi\) |
0.394066 | + | 0.919082i | \(0.371068\pi\) | |||||||
\(998\) | −0.865580 | − | 8.23545i | −0.0273995 | − | 0.260689i | ||||
\(999\) | −3.11960 | + | 0.663091i | −0.0986997 | + | 0.0209793i |
(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 | 462.2.y.a.361.2 | yes | 24 | |
7.2 | even | 3 | inner | 462.2.y.a.163.2 | ✓ | 24 | |
11.5 | even | 5 | inner | 462.2.y.a.445.2 | yes | 24 | |
77.16 | even | 15 | inner | 462.2.y.a.247.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.y.a.163.2 | ✓ | 24 | 7.2 | even | 3 | inner | |
462.2.y.a.247.2 | yes | 24 | 77.16 | even | 15 | inner | |
462.2.y.a.361.2 | yes | 24 | 1.1 | even | 1 | trivial | |
462.2.y.a.445.2 | yes | 24 | 11.5 | even | 5 | inner |