Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1161,2,Mod(388,1161)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1161, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1161.388");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1161 = 3^{3} \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1161.f (of order \(3\), degree \(2\), not 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: | \(9.27063167467\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{3})\) |
Twist minimal: | no (minimal twist has level 387) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 388.17 | ||
Character | \(\chi\) | \(=\) | 1161.388 |
Dual form | 1161.2.f.d.775.17 |
$q$-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 \(\left(\mathbb{Z}/1161\mathbb{Z}\right)^\times\).
\(n\) | \(433\) | \(947\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.911404 | + | 1.57860i | 0.644460 | + | 1.11624i | 0.984426 | + | 0.175800i | \(0.0562511\pi\) |
−0.339966 | + | 0.940438i | \(0.610416\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.661315 | + | 1.14543i | −0.330658 | + | 0.572716i | ||||
\(5\) | −0.216442 | + | 0.374888i | −0.0967957 | + | 0.167655i | −0.910357 | − | 0.413825i | \(-0.864193\pi\) |
0.813561 | + | 0.581480i | \(0.197526\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.345529 | + | 0.598473i | 0.130598 | + | 0.226202i | 0.923907 | − | 0.382617i | \(-0.124977\pi\) |
−0.793309 | + | 0.608819i | \(0.791644\pi\) | |||||||
\(8\) | 1.23472 | 0.436538 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.789063 | −0.249524 | ||||||||
\(11\) | 1.26780 | + | 2.19589i | 0.382255 | + | 0.662084i | 0.991384 | − | 0.130986i | \(-0.0418144\pi\) |
−0.609130 | + | 0.793071i | \(0.708481\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.60136 | − | 6.23773i | 0.998837 | − | 1.73004i | 0.457661 | − | 0.889127i | \(-0.348687\pi\) |
0.541176 | − | 0.840909i | \(-0.317979\pi\) | |||||||
\(14\) | −0.629833 | + | 1.09090i | −0.168330 | + | 0.291556i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.44795 | + | 4.23998i | 0.611989 | + | 1.06000i | ||||
\(17\) | −4.46895 | −1.08388 | −0.541940 | − | 0.840417i | \(-0.682310\pi\) | ||||
−0.541940 | + | 0.840417i | \(0.682310\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.05843 | 1.38990 | 0.694950 | − | 0.719058i | \(-0.255427\pi\) | ||||
0.694950 | + | 0.719058i | \(0.255427\pi\) | |||||||
\(20\) | −0.286272 | − | 0.495838i | −0.0640124 | − | 0.110873i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.31095 | + | 4.00268i | −0.492696 | + | 0.853374i | ||||
\(23\) | −2.05578 | + | 3.56072i | −0.428660 | + | 0.742460i | −0.996754 | − | 0.0805028i | \(-0.974347\pi\) |
0.568095 | + | 0.822963i | \(0.307681\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.40631 | + | 4.16784i | 0.481261 | + | 0.833569i | ||||
\(26\) | 13.1292 | 2.57484 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.914014 | −0.172732 | ||||||||
\(29\) | 3.23074 | + | 5.59581i | 0.599933 | + | 1.03912i | 0.992830 | + | 0.119533i | \(0.0381396\pi\) |
−0.392897 | + | 0.919583i | \(0.628527\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.26948 | − | 2.19881i | 0.228006 | − | 0.394918i | −0.729211 | − | 0.684289i | \(-0.760113\pi\) |
0.957217 | + | 0.289371i | \(0.0934461\pi\) | |||||||
\(32\) | −3.22744 | + | 5.59009i | −0.570536 | + | 0.988197i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.07302 | − | 7.05468i | −0.698518 | − | 1.20987i | ||||
\(35\) | −0.299147 | −0.0505651 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −9.14340 | −1.50317 | −0.751583 | − | 0.659638i | \(-0.770709\pi\) | ||||
−0.751583 | + | 0.659638i | \(0.770709\pi\) | |||||||
\(38\) | 5.52168 | + | 9.56383i | 0.895735 | + | 1.55146i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.267244 | + | 0.462880i | −0.0422550 | + | 0.0731877i | ||||
\(41\) | 0.455380 | − | 0.788741i | 0.0711184 | − | 0.123181i | −0.828273 | − | 0.560324i | \(-0.810677\pi\) |
0.899392 | + | 0.437144i | \(0.144010\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.500000 | + | 0.866025i | 0.0762493 | + | 0.132068i | ||||
\(44\) | −3.35365 | −0.505582 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.49459 | −1.10502 | ||||||||
\(47\) | −4.79713 | − | 8.30887i | −0.699733 | − | 1.21197i | −0.968559 | − | 0.248785i | \(-0.919969\pi\) |
0.268826 | − | 0.963189i | \(-0.413364\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.26122 | − | 5.64860i | 0.465889 | − | 0.806943i | ||||
\(50\) | −4.38623 | + | 7.59718i | −0.620307 | + | 1.07440i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.76326 | + | 8.25022i | 0.660546 | + | 1.14410i | ||||
\(53\) | 8.85806 | 1.21675 | 0.608374 | − | 0.793650i | \(-0.291822\pi\) | ||||
0.608374 | + | 0.793650i | \(0.291822\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.09761 | −0.148002 | ||||||||
\(56\) | 0.426630 | + | 0.738944i | 0.0570108 | + | 0.0987456i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.88902 | + | 10.2001i | −0.773266 | + | 1.33934i | ||||
\(59\) | −6.51130 | + | 11.2779i | −0.847699 | + | 1.46826i | 0.0355576 | + | 0.999368i | \(0.488679\pi\) |
−0.883257 | + | 0.468890i | \(0.844654\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.396746 | − | 0.687184i | −0.0507981 | − | 0.0879849i | 0.839508 | − | 0.543347i | \(-0.182843\pi\) |
−0.890306 | + | 0.455362i | \(0.849510\pi\) | |||||||
\(62\) | 4.62805 | 0.587763 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.97418 | −0.246772 | ||||||||
\(65\) | 1.55897 | + | 2.70021i | 0.193366 | + | 0.334920i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.69986 | + | 9.87245i | −0.696349 | + | 1.20611i | 0.273375 | + | 0.961908i | \(0.411860\pi\) |
−0.969724 | + | 0.244204i | \(0.921473\pi\) | |||||||
\(68\) | 2.95539 | − | 5.11888i | 0.358393 | − | 0.620755i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.272644 | − | 0.472233i | −0.0325872 | − | 0.0564427i | ||||
\(71\) | 13.2707 | 1.57495 | 0.787473 | − | 0.616349i | \(-0.211389\pi\) | ||||
0.787473 | + | 0.616349i | \(0.211389\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.01445 | −0.469856 | −0.234928 | − | 0.972013i | \(-0.575485\pi\) | ||||
−0.234928 | + | 0.972013i | \(0.575485\pi\) | |||||||
\(74\) | −8.33334 | − | 14.4338i | −0.968731 | − | 1.67789i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.00653 | + | 6.93952i | −0.459581 | + | 0.796017i | ||||
\(77\) | −0.876120 | + | 1.51748i | −0.0998431 | + | 0.172933i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.94290 | + | 10.2934i | 0.668628 | + | 1.15810i | 0.978288 | + | 0.207251i | \(0.0664516\pi\) |
−0.309659 | + | 0.950848i | \(0.600215\pi\) | |||||||
\(80\) | −2.11936 | −0.236951 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.66014 | 0.183332 | ||||||||
\(83\) | −4.88090 | − | 8.45396i | −0.535748 | − | 0.927943i | −0.999127 | − | 0.0417825i | \(-0.986696\pi\) |
0.463379 | − | 0.886160i | \(-0.346637\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.967268 | − | 1.67536i | 0.104915 | − | 0.181718i | ||||
\(86\) | −0.911404 | + | 1.57860i | −0.0982792 | + | 0.170225i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.56537 | + | 2.71129i | 0.166869 | + | 0.289025i | ||||
\(89\) | −8.04947 | −0.853242 | −0.426621 | − | 0.904431i | \(-0.640296\pi\) | ||||
−0.426621 | + | 0.904431i | \(0.640296\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.97749 | 0.521783 | ||||||||
\(92\) | −2.71904 | − | 4.70951i | −0.283479 | − | 0.491000i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 8.74425 | − | 15.1455i | 0.901900 | − | 1.56214i | ||||
\(95\) | −1.31130 | + | 2.27123i | −0.134536 | + | 0.233024i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.49445 | − | 12.9808i | −0.760947 | − | 1.31800i | −0.942363 | − | 0.334592i | \(-0.891402\pi\) |
0.181417 | − | 0.983406i | \(-0.441932\pi\) | |||||||
\(98\) | 11.8892 | 1.20099 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −6.36531 | −0.636531 | ||||||||
\(101\) | −1.55310 | − | 2.69005i | −0.154539 | − | 0.267670i | 0.778352 | − | 0.627828i | \(-0.216056\pi\) |
−0.932891 | + | 0.360159i | \(0.882723\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.48129 | + | 6.02977i | −0.343022 | + | 0.594131i | −0.984992 | − | 0.172598i | \(-0.944784\pi\) |
0.641970 | + | 0.766729i | \(0.278117\pi\) | |||||||
\(104\) | 4.44665 | − | 7.70183i | 0.436030 | − | 0.755226i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.07328 | + | 13.9833i | 0.784146 | + | 1.35818i | ||||
\(107\) | −8.10561 | −0.783599 | −0.391800 | − | 0.920051i | \(-0.628147\pi\) | ||||
−0.391800 | + | 0.920051i | \(0.628147\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.0751888 | −0.00720178 | −0.00360089 | − | 0.999994i | \(-0.501146\pi\) | ||||
−0.00360089 | + | 0.999994i | \(0.501146\pi\) | |||||||
\(110\) | −1.00037 | − | 1.73269i | −0.0953816 | − | 0.165206i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.69168 | + | 2.93007i | −0.159849 | + | 0.276866i | ||||
\(113\) | 3.84430 | − | 6.65852i | 0.361641 | − | 0.626380i | −0.626590 | − | 0.779349i | \(-0.715550\pi\) |
0.988231 | + | 0.152969i | \(0.0488833\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.889913 | − | 1.54137i | −0.0829848 | − | 0.143734i | ||||
\(116\) | −8.54615 | −0.793490 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −23.7377 | −2.18523 | ||||||||
\(119\) | −1.54415 | − | 2.67455i | −0.141552 | − | 0.245176i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.28539 | − | 3.95841i | 0.207763 | − | 0.359856i | ||||
\(122\) | 0.723192 | − | 1.25260i | 0.0654747 | − | 0.113405i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.67906 | + | 2.90821i | 0.150784 | + | 0.261165i | ||||
\(125\) | −4.24772 | −0.379927 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.411999 | 0.0365590 | 0.0182795 | − | 0.999833i | \(-0.494181\pi\) | ||||
0.0182795 | + | 0.999833i | \(0.494181\pi\) | |||||||
\(128\) | 4.65560 | + | 8.06373i | 0.411501 | + | 0.712740i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.84170 | + | 4.92197i | −0.249234 | + | 0.431685i | ||||
\(131\) | 1.51555 | − | 2.62501i | 0.132414 | − | 0.229348i | −0.792193 | − | 0.610271i | \(-0.791060\pi\) |
0.924607 | + | 0.380923i | \(0.124394\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.09336 | + | 3.62581i | 0.181518 | + | 0.314398i | ||||
\(134\) | −20.7795 | −1.79508 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.51788 | −0.473155 | ||||||||
\(137\) | −5.34442 | − | 9.25680i | −0.456604 | − | 0.790862i | 0.542174 | − | 0.840266i | \(-0.317601\pi\) |
−0.998779 | + | 0.0494039i | \(0.984268\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 11.3648 | − | 19.6844i | 0.963951 | − | 1.66961i | 0.251543 | − | 0.967846i | \(-0.419062\pi\) |
0.712408 | − | 0.701766i | \(-0.247605\pi\) | |||||||
\(140\) | 0.197831 | − | 0.342653i | 0.0167197 | − | 0.0289594i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 12.0950 | + | 20.9492i | 1.01499 | + | 1.75801i | ||||
\(143\) | 18.2631 | 1.52724 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.79707 | −0.232284 | ||||||||
\(146\) | −3.65879 | − | 6.33720i | −0.302803 | − | 0.524471i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.04667 | − | 10.4731i | 0.497033 | − | 0.860887i | ||||
\(149\) | 7.49268 | − | 12.9777i | 0.613824 | − | 1.06317i | −0.376766 | − | 0.926309i | \(-0.622964\pi\) |
0.990590 | − | 0.136866i | \(-0.0437028\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.01750 | − | 6.95851i | −0.326939 | − | 0.566276i | 0.654964 | − | 0.755660i | \(-0.272684\pi\) |
−0.981903 | + | 0.189385i | \(0.939351\pi\) | |||||||
\(152\) | 7.48044 | 0.606744 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.19400 | −0.257380 | ||||||||
\(155\) | 0.549538 | + | 0.951828i | 0.0441399 | + | 0.0764526i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.44630 | + | 5.96916i | −0.275045 | + | 0.476391i | −0.970146 | − | 0.242520i | \(-0.922026\pi\) |
0.695102 | + | 0.718911i | \(0.255359\pi\) | |||||||
\(158\) | −10.8328 | + | 18.7629i | −0.861809 | + | 1.49270i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.39710 | − | 2.41985i | −0.110451 | − | 0.191306i | ||||
\(161\) | −2.84132 | −0.223928 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.87193 | 0.538251 | 0.269125 | − | 0.963105i | \(-0.413265\pi\) | ||||
0.269125 | + | 0.963105i | \(0.413265\pi\) | |||||||
\(164\) | 0.602299 | + | 1.04321i | 0.0470317 | + | 0.0814613i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.89694 | − | 15.4100i | 0.690536 | − | 1.19604i | ||||
\(167\) | 7.79562 | − | 13.5024i | 0.603243 | − | 1.04485i | −0.389083 | − | 0.921203i | \(-0.627208\pi\) |
0.992327 | − | 0.123645i | \(-0.0394584\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −19.4396 | − | 33.6703i | −1.49535 | − | 2.59002i | ||||
\(170\) | 3.52629 | 0.270454 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.32263 | −0.100850 | ||||||||
\(173\) | −1.53573 | − | 2.65997i | −0.116760 | − | 0.202234i | 0.801722 | − | 0.597697i | \(-0.203917\pi\) |
−0.918482 | + | 0.395463i | \(0.870584\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.66290 | + | 2.88022i | −0.125703 | + | 0.217724i | ||||
\(176\) | −6.20701 | + | 10.7509i | −0.467871 | + | 0.810376i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −7.33632 | − | 12.7069i | −0.549880 | − | 0.952420i | ||||
\(179\) | −6.81694 | −0.509522 | −0.254761 | − | 0.967004i | \(-0.581997\pi\) | ||||
−0.254761 | + | 0.967004i | \(0.581997\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.26156 | −0.465418 | −0.232709 | − | 0.972546i | \(-0.574759\pi\) | ||||
−0.232709 | + | 0.972546i | \(0.574759\pi\) | |||||||
\(182\) | 4.53651 | + | 7.85746i | 0.336268 | + | 0.582434i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.53830 | + | 4.39647i | −0.187126 | + | 0.324112i | ||||
\(185\) | 1.97901 | − | 3.42775i | 0.145500 | − | 0.252013i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.66572 | − | 9.81331i | −0.414318 | − | 0.717620i | ||||
\(188\) | 12.6897 | 0.925488 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.78049 | −0.346813 | ||||||||
\(191\) | −4.89485 | − | 8.47813i | −0.354179 | − | 0.613456i | 0.632798 | − | 0.774317i | \(-0.281906\pi\) |
−0.986977 | + | 0.160861i | \(0.948573\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.22778 | + | 5.59068i | −0.232341 | + | 0.402426i | −0.958496 | − | 0.285104i | \(-0.907972\pi\) |
0.726156 | + | 0.687530i | \(0.241305\pi\) | |||||||
\(194\) | 13.6610 | − | 23.6615i | 0.980799 | − | 1.69879i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.31339 | + | 7.47101i | 0.308099 | + | 0.533643i | ||||
\(197\) | 9.52049 | 0.678307 | 0.339154 | − | 0.940731i | \(-0.389859\pi\) | ||||
0.339154 | + | 0.940731i | \(0.389859\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.8531 | 1.19469 | 0.597344 | − | 0.801985i | \(-0.296223\pi\) | ||||
0.597344 | + | 0.801985i | \(0.296223\pi\) | |||||||
\(200\) | 2.97110 | + | 5.14610i | 0.210089 | + | 0.363884i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.83100 | − | 4.90344i | 0.199189 | − | 0.345005i | ||||
\(203\) | −2.23263 | + | 3.86702i | −0.156700 | + | 0.271412i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.197126 | + | 0.341433i | 0.0137679 | + | 0.0238467i | ||||
\(206\) | −12.6915 | −0.884256 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 35.2638 | 2.44511 | ||||||||
\(209\) | 7.68085 | + | 13.3036i | 0.531296 | + | 0.920231i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.656265 | + | 1.13668i | −0.0451792 | + | 0.0782526i | −0.887731 | − | 0.460363i | \(-0.847719\pi\) |
0.842552 | + | 0.538616i | \(0.181053\pi\) | |||||||
\(212\) | −5.85797 | + | 10.1463i | −0.402327 | + | 0.696851i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.38749 | − | 12.7955i | −0.504998 | − | 0.874683i | ||||
\(215\) | −0.432883 | −0.0295224 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.75457 | 0.119108 | ||||||||
\(218\) | −0.0685274 | − | 0.118693i | −0.00464126 | − | 0.00803890i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.725869 | − | 1.25724i | 0.0489381 | − | 0.0847633i | ||||
\(221\) | −16.0943 | + | 27.8761i | −1.08262 | + | 1.87515i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.949986 | + | 1.64542i | 0.0636157 | + | 0.110186i | 0.896079 | − | 0.443894i | \(-0.146403\pi\) |
−0.832463 | + | 0.554080i | \(0.813070\pi\) | |||||||
\(224\) | −4.46069 | −0.298042 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 14.0148 | 0.932252 | ||||||||
\(227\) | −6.36963 | − | 11.0325i | −0.422767 | − | 0.732254i | 0.573442 | − | 0.819246i | \(-0.305608\pi\) |
−0.996209 | + | 0.0869919i | \(0.972275\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11.8720 | + | 20.5630i | −0.784526 | + | 1.35884i | 0.144756 | + | 0.989467i | \(0.453760\pi\) |
−0.929282 | + | 0.369371i | \(0.879573\pi\) | |||||||
\(230\) | 1.62214 | − | 2.80963i | 0.106961 | − | 0.185262i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.98904 | + | 6.90923i | 0.261894 | + | 0.453613i | ||||
\(233\) | 7.78814 | 0.510218 | 0.255109 | − | 0.966912i | \(-0.417889\pi\) | ||||
0.255109 | + | 0.966912i | \(0.417889\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.15319 | 0.270925 | ||||||||
\(236\) | −8.61204 | − | 14.9165i | −0.560596 | − | 0.970981i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.81469 | − | 4.87519i | 0.182449 | − | 0.316012i | ||||
\(239\) | −1.70650 | + | 2.95575i | −0.110385 | + | 0.191192i | −0.915925 | − | 0.401349i | \(-0.868542\pi\) |
0.805541 | + | 0.592540i | \(0.201875\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.16770 | + | 10.6828i | 0.397296 | + | 0.688137i | 0.993391 | − | 0.114777i | \(-0.0366152\pi\) |
−0.596095 | + | 0.802914i | \(0.703282\pi\) | |||||||
\(242\) | 8.33166 | 0.535579 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.04950 | 0.0671871 | ||||||||
\(245\) | 1.41173 | + | 2.44518i | 0.0901920 | + | 0.156217i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 21.8186 | − | 37.7909i | 1.38828 | − | 2.40458i | ||||
\(248\) | 1.56745 | − | 2.71490i | 0.0995331 | − | 0.172396i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −3.87139 | − | 6.70544i | −0.244848 | − | 0.424089i | ||||
\(251\) | −7.32241 | −0.462186 | −0.231093 | − | 0.972932i | \(-0.574230\pi\) | ||||
−0.231093 | + | 0.972932i | \(0.574230\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.4252 | −0.655429 | ||||||||
\(254\) | 0.375498 | + | 0.650381i | 0.0235608 | + | 0.0408086i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.4604 | + | 18.1180i | −0.653778 | + | 1.13238i | ||||
\(257\) | 2.49747 | − | 4.32575i | 0.155788 | − | 0.269833i | −0.777558 | − | 0.628812i | \(-0.783542\pi\) |
0.933346 | + | 0.358979i | \(0.116875\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.15931 | − | 5.47208i | −0.196310 | − | 0.340019i | ||||
\(260\) | −4.12388 | −0.255752 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 5.52511 | 0.341342 | ||||||||
\(263\) | −9.05500 | − | 15.6837i | −0.558355 | − | 0.967099i | −0.997634 | − | 0.0687485i | \(-0.978099\pi\) |
0.439279 | − | 0.898351i | \(-0.355234\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.91725 | + | 3.32078i | −0.117776 | + | 0.203994i | ||||
\(266\) | −3.81580 | + | 6.60916i | −0.233962 | + | 0.405234i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −7.53881 | − | 13.0576i | −0.460506 | − | 0.797620i | ||||
\(269\) | −12.3502 | −0.753004 | −0.376502 | − | 0.926416i | \(-0.622873\pi\) | ||||
−0.376502 | + | 0.926416i | \(0.622873\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −11.1352 | −0.676418 | −0.338209 | − | 0.941071i | \(-0.609821\pi\) | ||||
−0.338209 | + | 0.941071i | \(0.609821\pi\) | |||||||
\(272\) | −10.9398 | − | 18.9483i | −0.663322 | − | 1.14891i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.74185 | − | 16.8734i | 0.588527 | − | 1.01936i | ||||
\(275\) | −6.10141 | + | 10.5679i | −0.367929 | + | 0.637271i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7.92554 | − | 13.7274i | −0.476200 | − | 0.824802i | 0.523429 | − | 0.852070i | \(-0.324653\pi\) |
−0.999628 | + | 0.0272677i | \(0.991319\pi\) | |||||||
\(278\) | 41.4318 | 2.48491 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.369362 | −0.0220736 | ||||||||
\(281\) | −4.44576 | − | 7.70028i | −0.265212 | − | 0.459360i | 0.702407 | − | 0.711775i | \(-0.252109\pi\) |
−0.967619 | + | 0.252415i | \(0.918775\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.93496 | − | 6.81556i | 0.233909 | − | 0.405143i | −0.725046 | − | 0.688701i | \(-0.758181\pi\) |
0.958955 | + | 0.283558i | \(0.0915148\pi\) | |||||||
\(284\) | −8.77614 | + | 15.2007i | −0.520768 | + | 0.901997i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 16.6451 | + | 28.8302i | 0.984245 | + | 1.70476i | ||||
\(287\) | 0.629388 | 0.0371516 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.97154 | 0.174796 | ||||||||
\(290\) | −2.54926 | − | 4.41545i | −0.149698 | − | 0.259284i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.65482 | − | 4.59828i | 0.155361 | − | 0.269094i | ||||
\(293\) | −16.7554 | + | 29.0212i | −0.978859 | + | 1.69543i | −0.312298 | + | 0.949984i | \(0.601099\pi\) |
−0.666561 | + | 0.745450i | \(0.732235\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.81863 | − | 4.88202i | −0.164107 | − | 0.284242i | ||||
\(296\) | −11.2895 | −0.656189 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 27.3154 | 1.58234 | ||||||||
\(299\) | 14.8072 | + | 25.6468i | 0.856322 | + | 1.48319i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.345529 | + | 0.598473i | −0.0199160 | + | 0.0344954i | ||||
\(302\) | 7.32313 | − | 12.6840i | 0.421399 | − | 0.729884i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 14.8308 | + | 25.6876i | 0.850603 | + | 1.47329i | ||||
\(305\) | 0.343489 | 0.0196681 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.9225 | 0.737524 | 0.368762 | − | 0.929524i | \(-0.379782\pi\) | ||||
0.368762 | + | 0.929524i | \(0.379782\pi\) | |||||||
\(308\) | −1.15878 | − | 2.00707i | −0.0660277 | − | 0.114363i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.00170 | + | 1.73500i | −0.0568929 | + | 0.0985413i | ||||
\(311\) | −6.78105 | + | 11.7451i | −0.384518 | + | 0.666005i | −0.991702 | − | 0.128556i | \(-0.958966\pi\) |
0.607184 | + | 0.794561i | \(0.292299\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.6910 | + | 20.2493i | 0.660812 | + | 1.14456i | 0.980403 | + | 0.197004i | \(0.0631211\pi\) |
−0.319591 | + | 0.947556i | \(0.603546\pi\) | |||||||
\(314\) | −12.5639 | −0.709021 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −15.7205 | −0.884348 | ||||||||
\(317\) | 0.805713 | + | 1.39554i | 0.0452533 | + | 0.0783811i | 0.887765 | − | 0.460297i | \(-0.152257\pi\) |
−0.842512 | + | 0.538678i | \(0.818924\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −8.19183 | + | 14.1887i | −0.458655 | + | 0.794413i | ||||
\(320\) | 0.427295 | − | 0.740096i | 0.0238865 | − | 0.0413726i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.58960 | − | 4.48531i | −0.144312 | − | 0.249957i | ||||
\(323\) | −27.0748 | −1.50648 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 34.6639 | 1.92281 | ||||||||
\(326\) | 6.26310 | + | 10.8480i | 0.346881 | + | 0.600816i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.562265 | − | 0.973871i | 0.0310459 | − | 0.0537730i | ||||
\(329\) | 3.31509 | − | 5.74191i | 0.182767 | − | 0.316562i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.1277 | − | 29.6660i | −0.941422 | − | 1.63059i | −0.762762 | − | 0.646679i | \(-0.776157\pi\) |
−0.178660 | − | 0.983911i | \(-0.557176\pi\) | |||||||
\(332\) | 12.9112 | 0.708597 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 28.4198 | 1.55506 | ||||||||
\(335\) | −2.46737 | − | 4.27362i | −0.134807 | − | 0.233493i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.67840 | + | 13.2994i | −0.418269 | + | 0.724464i | −0.995766 | − | 0.0919297i | \(-0.970697\pi\) |
0.577496 | + | 0.816393i | \(0.304030\pi\) | |||||||
\(338\) | 35.4346 | − | 61.3745i | 1.92739 | − | 3.33833i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.27934 | + | 2.21588i | 0.0693818 | + | 0.120173i | ||||
\(341\) | 6.43778 | 0.348625 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.34478 | 0.504571 | ||||||||
\(344\) | 0.617358 | + | 1.06929i | 0.0332857 | + | 0.0576525i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.79935 | − | 4.84861i | 0.150494 | − | 0.260663i | ||||
\(347\) | −0.967222 | + | 1.67528i | −0.0519232 | + | 0.0899336i | −0.890819 | − | 0.454359i | \(-0.849868\pi\) |
0.838896 | + | 0.544292i | \(0.183202\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.79439 | − | 4.84003i | −0.149580 | − | 0.259081i | 0.781492 | − | 0.623915i | \(-0.214459\pi\) |
−0.931072 | + | 0.364834i | \(0.881126\pi\) | |||||||
\(350\) | −6.06228 | −0.324043 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −16.3669 | −0.872360 | ||||||||
\(353\) | −2.26919 | − | 3.93036i | −0.120777 | − | 0.209192i | 0.799297 | − | 0.600936i | \(-0.205205\pi\) |
−0.920074 | + | 0.391744i | \(0.871872\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.87234 | + | 4.97504i | −0.152448 | + | 0.264048i | ||||
\(356\) | 5.32323 | − | 9.22011i | 0.282131 | − | 0.488665i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.21298 | − | 10.7612i | −0.328366 | − | 0.568747i | ||||
\(359\) | 11.5921 | 0.611809 | 0.305904 | − | 0.952062i | \(-0.401041\pi\) | ||||
0.305904 | + | 0.952062i | \(0.401041\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.7046 | 0.931821 | ||||||||
\(362\) | −5.70681 | − | 9.88449i | −0.299943 | − | 0.519517i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.29169 | + | 5.70137i | −0.172531 | + | 0.298833i | ||||
\(365\) | 0.868894 | − | 1.50497i | 0.0454800 | − | 0.0787737i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.61750 | + | 6.26569i | 0.188832 | + | 0.327066i | 0.944861 | − | 0.327472i | \(-0.106197\pi\) |
−0.756029 | + | 0.654538i | \(0.772863\pi\) | |||||||
\(368\) | −20.1298 | −1.04934 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.21472 | 0.375076 | ||||||||
\(371\) | 3.06072 | + | 5.30132i | 0.158904 | + | 0.275231i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.87996 | + | 10.1844i | −0.304453 | + | 0.527328i | −0.977139 | − | 0.212600i | \(-0.931807\pi\) |
0.672686 | + | 0.739928i | \(0.265140\pi\) | |||||||
\(374\) | 10.3275 | − | 17.8878i | 0.534023 | − | 0.924955i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.92309 | − | 10.2591i | −0.305460 | − | 0.529072i | ||||
\(377\) | 46.5402 | 2.39694 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.11108 | −0.262539 | −0.131269 | − | 0.991347i | \(-0.541905\pi\) | ||||
−0.131269 | + | 0.991347i | \(0.541905\pi\) | |||||||
\(380\) | −1.73436 | − | 3.00400i | −0.0889709 | − | 0.154102i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 8.92237 | − | 15.4540i | 0.456508 | − | 0.790696i | ||||
\(383\) | 8.07593 | − | 13.9879i | 0.412661 | − | 0.714749i | −0.582519 | − | 0.812817i | \(-0.697933\pi\) |
0.995180 | + | 0.0980678i | \(0.0312662\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.379258 | − | 0.656893i | −0.0193288 | − | 0.0334784i | ||||
\(386\) | −11.7672 | −0.598937 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 19.8248 | 1.00645 | ||||||||
\(389\) | 8.61616 | + | 14.9236i | 0.436857 | + | 0.756658i | 0.997445 | − | 0.0714365i | \(-0.0227583\pi\) |
−0.560588 | + | 0.828095i | \(0.689425\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.18718 | − | 15.9127i | 0.464616 | − | 0.804738i | ||||
\(392\) | 4.02668 | − | 6.97441i | 0.203378 | − | 0.352261i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 8.67702 | + | 15.0290i | 0.437142 | + | 0.757152i | ||||
\(395\) | −5.14516 | −0.258881 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −29.6151 | −1.48634 | −0.743170 | − | 0.669103i | \(-0.766679\pi\) | ||||
−0.743170 | + | 0.669103i | \(0.766679\pi\) | |||||||
\(398\) | 15.3600 | + | 26.6043i | 0.769929 | + | 1.33356i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −11.7811 | + | 20.4054i | −0.589053 | + | 1.02027i | ||||
\(401\) | −7.15251 | + | 12.3885i | −0.357179 | + | 0.618653i | −0.987488 | − | 0.157692i | \(-0.949595\pi\) |
0.630309 | + | 0.776344i | \(0.282928\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −9.14372 | − | 15.8374i | −0.455481 | − | 0.788917i | ||||
\(404\) | 4.10835 | 0.204398 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −8.13931 | −0.403947 | ||||||||
\(407\) | −11.5920 | − | 20.0779i | −0.574592 | − | 0.995223i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.43314 | + | 14.6066i | −0.416992 | + | 0.722251i | −0.995635 | − | 0.0933297i | \(-0.970249\pi\) |
0.578644 | + | 0.815581i | \(0.303582\pi\) | |||||||
\(410\) | −0.359324 | + | 0.622367i | −0.0177457 | + | 0.0307365i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.60446 | − | 7.97516i | −0.226846 | − | 0.392908i | ||||
\(413\) | −8.99937 | −0.442830 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.22572 | 0.207432 | ||||||||
\(416\) | 23.2463 | + | 40.2638i | 1.13974 | + | 1.97409i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −14.0007 | + | 24.2500i | −0.684798 | + | 1.18610i | ||||
\(419\) | −0.720706 | + | 1.24830i | −0.0352088 | + | 0.0609835i | −0.883093 | − | 0.469198i | \(-0.844543\pi\) |
0.847884 | + | 0.530182i | \(0.177876\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.693490 | + | 1.20116i | 0.0337986 | + | 0.0585409i | 0.882430 | − | 0.470444i | \(-0.155906\pi\) |
−0.848631 | + | 0.528985i | \(0.822573\pi\) | |||||||
\(422\) | −2.39249 | −0.116465 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 10.9372 | 0.531157 | ||||||||
\(425\) | −10.7537 | − | 18.6259i | −0.521630 | − | 0.903489i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.274174 | − | 0.474884i | 0.0132682 | − | 0.0229812i | ||||
\(428\) | 5.36036 | − | 9.28442i | 0.259103 | − | 0.448780i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.394532 | − | 0.683349i | −0.0190260 | − | 0.0329540i | ||||
\(431\) | 19.8758 | 0.957383 | 0.478692 | − | 0.877983i | \(-0.341111\pi\) | ||||
0.478692 | + | 0.877983i | \(0.341111\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3.09155 | −0.148570 | −0.0742851 | − | 0.997237i | \(-0.523667\pi\) | ||||
−0.0742851 | + | 0.997237i | \(0.523667\pi\) | |||||||
\(434\) | 1.59912 | + | 2.76976i | 0.0767604 | + | 0.132953i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.0497235 | − | 0.0861236i | 0.00238132 | − | 0.00412457i | ||||
\(437\) | −12.4548 | + | 21.5724i | −0.595794 | + | 1.03195i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.45099 | − | 7.70933i | −0.212434 | − | 0.367946i | 0.740042 | − | 0.672561i | \(-0.234806\pi\) |
−0.952476 | + | 0.304614i | \(0.901472\pi\) | |||||||
\(440\) | −1.35524 | −0.0646086 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −58.6736 | −2.79082 | ||||||||
\(443\) | −5.48826 | − | 9.50594i | −0.260755 | − | 0.451641i | 0.705688 | − | 0.708523i | \(-0.250638\pi\) |
−0.966443 | + | 0.256882i | \(0.917305\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.74224 | − | 3.01765i | 0.0825901 | − | 0.143050i | ||||
\(446\) | −1.73164 | + | 2.99929i | −0.0819956 | + | 0.142021i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.682136 | − | 1.18149i | −0.0322279 | − | 0.0558204i | ||||
\(449\) | −18.7937 | −0.886931 | −0.443465 | − | 0.896292i | \(-0.646251\pi\) | ||||
−0.443465 | + | 0.896292i | \(0.646251\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.30931 | 0.108741 | ||||||||
\(452\) | 5.08458 | + | 8.80675i | 0.239159 | + | 0.414235i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 11.6106 | − | 20.1102i | 0.544913 | − | 0.943818i | ||||
\(455\) | −1.07734 | + | 1.86600i | −0.0505063 | + | 0.0874795i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.85804 | − | 17.0746i | −0.461140 | − | 0.798717i | 0.537879 | − | 0.843022i | \(-0.319226\pi\) |
−0.999018 | + | 0.0443053i | \(0.985893\pi\) | |||||||
\(458\) | −43.2809 | −2.02238 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.35405 | 0.109758 | ||||||||
\(461\) | −20.0872 | − | 34.7921i | −0.935556 | − | 1.62043i | −0.773639 | − | 0.633627i | \(-0.781565\pi\) |
−0.161918 | − | 0.986804i | \(-0.551768\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.1465 | + | 19.3064i | −0.518024 | + | 0.897243i | 0.481757 | + | 0.876305i | \(0.339999\pi\) |
−0.999781 | + | 0.0209385i | \(0.993335\pi\) | |||||||
\(464\) | −15.8174 | + | 27.3966i | −0.734305 | + | 1.27185i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.09814 | + | 12.2943i | 0.328815 | + | 0.569524i | ||||
\(467\) | −2.81433 | −0.130232 | −0.0651158 | − | 0.997878i | \(-0.520742\pi\) | ||||
−0.0651158 | + | 0.997878i | \(0.520742\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.87786 | −0.363766 | ||||||||
\(470\) | 3.78524 | + | 6.55623i | 0.174600 | + | 0.302416i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.03960 | + | 13.9250i | −0.370053 | + | 0.640950i | ||||
\(473\) | −1.26780 | + | 2.19589i | −0.0582933 | + | 0.100967i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 14.5784 | + | 25.2506i | 0.668905 | + | 1.15858i | ||||
\(476\) | 4.08468 | 0.187221 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.22126 | −0.284554 | ||||||||
\(479\) | 7.84457 | + | 13.5872i | 0.358428 | + | 0.620815i | 0.987698 | − | 0.156371i | \(-0.0499797\pi\) |
−0.629271 | + | 0.777186i | \(0.716646\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −32.9287 | + | 57.0341i | −1.50142 | + | 2.60053i | ||||
\(482\) | −11.2425 | + | 19.4726i | −0.512083 | + | 0.886954i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.02273 | + | 5.23552i | 0.137397 | + | 0.237978i | ||||
\(485\) | 6.48845 | 0.294625 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.31905 | −0.376972 | −0.188486 | − | 0.982076i | \(-0.560358\pi\) | ||||
−0.188486 | + | 0.982076i | \(0.560358\pi\) | |||||||
\(488\) | −0.489868 | − | 0.848476i | −0.0221753 | − | 0.0384087i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.57331 | + | 4.45710i | −0.116250 | + | 0.201351i | ||||
\(491\) | 10.7300 | − | 18.5849i | 0.484237 | − | 0.838723i | −0.515599 | − | 0.856830i | \(-0.672431\pi\) |
0.999836 | + | 0.0181071i | \(0.00576397\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −14.4380 | − | 25.0074i | −0.650256 | − | 1.12628i | ||||
\(494\) | 79.5422 | 3.57877 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.4305 | 0.558148 | ||||||||
\(497\) | 4.58542 | + | 7.94218i | 0.205684 | + | 0.356256i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.43186 | − | 7.67620i | 0.198397 | − | 0.343634i | −0.749612 | − | 0.661878i | \(-0.769760\pi\) |
0.948009 | + | 0.318244i | \(0.103093\pi\) | |||||||
\(500\) | 2.80908 | − | 4.86547i | 0.125626 | − | 0.217590i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −6.67367 | − | 11.5591i | −0.297861 | − | 0.515910i | ||||
\(503\) | 18.4384 | 0.822126 | 0.411063 | − | 0.911607i | \(-0.365158\pi\) | ||||
0.411063 | + | 0.911607i | \(0.365158\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.34462 | 0.0598349 | ||||||||
\(506\) | −9.50160 | − | 16.4573i | −0.422398 | − | 0.731614i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.272461 | + | 0.471917i | −0.0120885 | + | 0.0209379i | ||||
\(509\) | −2.69763 | + | 4.67243i | −0.119570 | + | 0.207102i | −0.919597 | − | 0.392862i | \(-0.871485\pi\) |
0.800027 | + | 0.599964i | \(0.204818\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.38711 | − | 2.40254i | −0.0613621 | − | 0.106282i | ||||
\(512\) | −19.5124 | −0.862333 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 9.10483 | 0.401597 | ||||||||
\(515\) | −1.50699 | − | 2.61019i | −0.0664061 | − | 0.115019i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.1636 | − | 21.0679i | 0.534953 | − | 0.926565i | ||||
\(518\) | 5.75881 | − | 9.97456i | 0.253028 | − | 0.438257i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.92488 | + | 3.33399i | 0.0844116 | + | 0.146205i | ||||
\(521\) | −34.0231 | −1.49058 | −0.745290 | − | 0.666741i | \(-0.767689\pi\) | ||||
−0.745290 | + | 0.666741i | \(0.767689\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 17.5996 | 0.769576 | 0.384788 | − | 0.923005i | \(-0.374275\pi\) | ||||
0.384788 | + | 0.923005i | \(0.374275\pi\) | |||||||
\(524\) | 2.00451 | + | 3.47191i | 0.0875674 | + | 0.151671i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 16.5055 | − | 28.5884i | 0.719675 | − | 1.24651i | ||||
\(527\) | −5.67326 | + | 9.82637i | −0.247131 | + | 0.428043i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.04754 | + | 5.27849i | 0.132502 | + | 0.229500i | ||||
\(530\) | −6.98957 | −0.303608 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −5.53749 | −0.240081 | ||||||||
\(533\) | −3.27997 | − | 5.68108i | −0.142071 | − | 0.246075i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.75439 | − | 3.03870i | 0.0758490 | − | 0.131374i | ||||
\(536\) | −7.03770 | + | 12.1897i | −0.303983 | + | 0.526513i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −11.2560 | − | 19.4960i | −0.485281 | − | 0.840531i | ||||
\(539\) | 16.5382 | 0.712352 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 19.6744 | 0.845868 | 0.422934 | − | 0.906160i | \(-0.361000\pi\) | ||||
0.422934 | + | 0.906160i | \(0.361000\pi\) | |||||||
\(542\) | −10.1487 | − | 17.5781i | −0.435924 | − | 0.755043i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 14.4233 | − | 24.9818i | 0.618392 | − | 1.07109i | ||||
\(545\) | 0.0162740 | − | 0.0281874i | 0.000697101 | − | 0.00120741i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.16166 | + | 12.4044i | 0.306211 | + | 0.530372i | 0.977530 | − | 0.210796i | \(-0.0676055\pi\) |
−0.671320 | + | 0.741168i | \(0.734272\pi\) | |||||||
\(548\) | 14.1374 | 0.603919 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −22.2434 | −0.948461 | ||||||||
\(551\) | 19.5732 | + | 33.9018i | 0.833847 | + | 1.44427i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.10689 | + | 7.11333i | −0.174643 | + | 0.302490i | ||||
\(554\) | 14.4467 | − | 25.0225i | 0.613783 | − | 1.06310i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 15.0314 | + | 26.0352i | 0.637475 | + | 1.10414i | ||||
\(557\) | −1.21426 | −0.0514499 | −0.0257250 | − | 0.999669i | \(-0.508189\pi\) | ||||
−0.0257250 | + | 0.999669i | \(0.508189\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.20272 | 0.304642 | ||||||||
\(560\) | −0.732299 | − | 1.26838i | −0.0309453 | − | 0.0535988i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.10377 | − | 14.0361i | 0.341837 | − | 0.592079i | ||||
\(563\) | 15.8136 | − | 27.3900i | 0.666464 | − | 1.15435i | −0.312422 | − | 0.949943i | \(-0.601140\pi\) |
0.978886 | − | 0.204406i | \(-0.0655264\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.66413 | + | 2.88236i | 0.0700105 | + | 0.121262i | ||||
\(566\) | 14.3454 | 0.602981 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 16.3856 | 0.687524 | ||||||||
\(569\) | −23.5071 | − | 40.7155i | −0.985468 | − | 1.70688i | −0.639836 | − | 0.768511i | \(-0.720998\pi\) |
−0.345632 | − | 0.938370i | \(-0.612336\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.8025 | + | 27.3707i | −0.661314 | + | 1.14543i | 0.318956 | + | 0.947769i | \(0.396668\pi\) |
−0.980271 | + | 0.197661i | \(0.936666\pi\) | |||||||
\(572\) | −12.0777 | + | 20.9192i | −0.504993 | + | 0.874674i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.573627 | + | 0.993550i | 0.0239427 | + | 0.0414700i | ||||
\(575\) | −19.7873 | −0.825189 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −35.2559 | −1.46772 | −0.733860 | − | 0.679300i | \(-0.762283\pi\) | ||||
−0.733860 | + | 0.679300i | \(0.762283\pi\) | |||||||
\(578\) | 2.70827 | + | 4.69087i | 0.112649 | + | 0.195114i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.84974 | − | 3.20385i | 0.0768064 | − | 0.133033i | ||||
\(581\) | 3.37298 | − | 5.84217i | 0.139935 | − | 0.242374i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.2302 | + | 19.4513i | 0.465108 | + | 0.805590i | ||||
\(584\) | −4.95670 | −0.205110 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −61.0837 | −2.52334 | ||||||||
\(587\) | −14.2400 | − | 24.6645i | −0.587749 | − | 1.01801i | −0.994527 | − | 0.104484i | \(-0.966681\pi\) |
0.406777 | − | 0.913527i | \(-0.366652\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.69107 | − | 13.3213i | 0.316905 | − | 0.548896i | ||||
\(590\) | 5.13783 | − | 8.89898i | 0.211521 | − | 0.366365i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −22.3826 | − | 38.7679i | −0.919921 | − | 1.59335i | ||||
\(593\) | 4.79696 | 0.196987 | 0.0984937 | − | 0.995138i | \(-0.468598\pi\) | ||||
0.0984937 | + | 0.995138i | \(0.468598\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.33688 | 0.0548065 | ||||||||
\(596\) | 9.91004 | + | 17.1647i | 0.405931 | + | 0.703093i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −26.9907 | + | 46.7492i | −1.10373 | + | 1.91172i | ||||
\(599\) | 2.53206 | − | 4.38566i | 0.103457 | − | 0.179193i | −0.809650 | − | 0.586914i | \(-0.800343\pi\) |
0.913107 | + | 0.407720i | \(0.133676\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.9645 | + | 31.1154i | 0.732785 | + | 1.26922i | 0.955688 | + | 0.294381i | \(0.0951134\pi\) |
−0.222903 | + | 0.974841i | \(0.571553\pi\) | |||||||
\(602\) | −1.25967 | −0.0513401 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 10.6273 | 0.432420 | ||||||||
\(605\) | 0.989308 | + | 1.71353i | 0.0402211 | + | 0.0696649i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.62783 | − | 4.55154i | 0.106660 | − | 0.184741i | −0.807755 | − | 0.589518i | \(-0.799318\pi\) |
0.914415 | + | 0.404777i | \(0.132651\pi\) | |||||||
\(608\) | −19.5532 | + | 33.8672i | −0.792987 | + | 1.37349i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.313058 | + | 0.542232i | 0.0126753 | + | 0.0219543i | ||||
\(611\) | −69.1047 | −2.79568 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −21.9713 | −0.887412 | −0.443706 | − | 0.896172i | \(-0.646337\pi\) | ||||
−0.443706 | + | 0.896172i | \(0.646337\pi\) | |||||||
\(614\) | 11.7776 | + | 20.3994i | 0.475305 | + | 0.823252i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.08176 | + | 1.87366i | −0.0435853 | + | 0.0754919i | ||||
\(617\) | −15.8691 | + | 27.4860i | −0.638864 | + | 1.10654i | 0.346818 | + | 0.937932i | \(0.387262\pi\) |
−0.985682 | + | 0.168613i | \(0.946071\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 18.2257 | + | 31.5679i | 0.732554 | + | 1.26882i | 0.955788 | + | 0.294055i | \(0.0950050\pi\) |
−0.223235 | + | 0.974765i | \(0.571662\pi\) | |||||||
\(620\) | −1.45367 | −0.0583808 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −24.7211 | −0.991226 | ||||||||
\(623\) | −2.78132 | − | 4.81739i | −0.111431 | − | 0.193005i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.1121 | + | 19.2468i | −0.444486 | + | 0.769872i | ||||
\(626\) | −21.3104 | + | 36.9106i | −0.851734 | + | 1.47525i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.55818 | − | 7.89500i | −0.181891 | − | 0.315045i | ||||
\(629\) | 40.8614 | 1.62925 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.25533 | −0.249021 | −0.124510 | − | 0.992218i | \(-0.539736\pi\) | ||||
−0.124510 | + | 0.992218i | \(0.539736\pi\) | |||||||
\(632\) | 7.33779 | + | 12.7094i | 0.291882 | + | 0.505554i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.46866 | + | 2.54379i | −0.0583279 | + | 0.101027i | ||||
\(635\) | −0.0891738 | + | 0.154454i | −0.00353876 | + | 0.00612930i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −23.4896 | − | 40.6852i | −0.930693 | − | 1.61201i | ||||
\(638\) | −29.8643 | −1.18234 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.03066 | −0.159326 | ||||||||
\(641\) | 19.6607 | + | 34.0533i | 0.776550 | + | 1.34502i | 0.933919 | + | 0.357484i | \(0.116365\pi\) |
−0.157370 | + | 0.987540i | \(0.550301\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.50051 | + | 7.79512i | −0.177483 | + | 0.307410i | −0.941018 | − | 0.338357i | \(-0.890129\pi\) |
0.763535 | + | 0.645767i | \(0.223462\pi\) | |||||||
\(644\) | 1.87901 | − | 3.25454i | 0.0740434 | − | 0.128247i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −24.6761 | − | 42.7403i | −0.970869 | − | 1.68160i | ||||
\(647\) | −49.7161 | −1.95454 | −0.977271 | − | 0.211996i | \(-0.932004\pi\) | ||||
−0.977271 | + | 0.211996i | \(0.932004\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −33.0200 | −1.29615 | ||||||||
\(650\) | 31.5928 | + | 54.7203i | 1.23917 | + | 2.14631i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.54451 | + | 7.87132i | −0.177977 | + | 0.308265i | ||||
\(653\) | −13.9053 | + | 24.0846i | −0.544155 | + | 0.942504i | 0.454505 | + | 0.890744i | \(0.349816\pi\) |
−0.998660 | + | 0.0517595i | \(0.983517\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.656055 | + | 1.13632i | 0.0256342 | + | 0.0443998i | ||||
\(656\) | 4.45900 | 0.174095 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 12.0856 | 0.471144 | ||||||||
\(659\) | 4.38026 | + | 7.58682i | 0.170631 | + | 0.295541i | 0.938640 | − | 0.344897i | \(-0.112086\pi\) |
−0.768010 | + | 0.640438i | \(0.778753\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.31545 | − | 4.01048i | 0.0900606 | − | 0.155990i | −0.817476 | − | 0.575963i | \(-0.804627\pi\) |
0.907536 | + | 0.419973i | \(0.137961\pi\) | |||||||
\(662\) | 31.2205 | − | 54.0754i | 1.21342 | − | 2.10170i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.02652 | − | 10.4382i | −0.233874 | − | 0.405082i | ||||
\(665\) | −1.81236 | −0.0702805 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −26.5668 | −1.02867 | ||||||||
\(668\) | 10.3107 | + | 17.8587i | 0.398934 | + | 0.690974i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.49755 | − | 7.78999i | 0.173756 | − | 0.300953i | ||||
\(671\) | 1.00598 | − | 1.74242i | 0.0388356 | − | 0.0672653i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.26726 | − | 9.12317i | −0.203038 | − | 0.351672i | 0.746468 | − | 0.665422i | \(-0.231748\pi\) |
−0.949506 | + | 0.313749i | \(0.898415\pi\) | |||||||
\(674\) | −27.9925 | −1.07823 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 51.4227 | 1.97780 | ||||||||
\(677\) | −1.01209 | − | 1.75299i | −0.0388978 | − | 0.0673730i | 0.845921 | − | 0.533308i | \(-0.179051\pi\) |
−0.884819 | + | 0.465935i | \(0.845718\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.17910 | − | 8.97046i | 0.198756 | − | 0.344255i | ||||
\(680\) | 1.19430 | − | 2.06859i | 0.0457993 | − | 0.0793267i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.86742 | + | 10.1627i | 0.224675 | + | 0.389148i | ||||
\(683\) | 30.3719 | 1.16215 | 0.581075 | − | 0.813850i | \(-0.302632\pi\) | ||||
0.581075 | + | 0.813850i | \(0.302632\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.62702 | 0.176789 | ||||||||
\(686\) | 8.51688 | + | 14.7517i | 0.325176 | + | 0.563221i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.44795 | + | 4.23998i | −0.0933274 | + | 0.161648i | ||||
\(689\) | 31.9011 | − | 55.2543i | 1.21533 | − | 2.10502i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.17681 | + | 15.8947i | 0.349102 | + | 0.604663i | 0.986090 | − | 0.166211i | \(-0.0531532\pi\) |
−0.636988 | + | 0.770874i | \(0.719820\pi\) | |||||||
\(692\) | 4.06241 | 0.154430 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.52612 | −0.133850 | ||||||||
\(695\) | 4.91964 | + | 8.52106i | 0.186613 | + | 0.323222i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.03507 | + | 3.52485i | −0.0770838 | + | 0.133513i | ||||
\(698\) | 5.09364 | − | 8.82245i | 0.192797 | − | 0.333935i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.19940 | − | 3.80947i | −0.0831294 | − | 0.143984i | ||||
\(701\) | 4.98491 | 0.188277 | 0.0941387 | − | 0.995559i | \(-0.469990\pi\) | ||||
0.0941387 | + | 0.995559i | \(0.469990\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −55.3947 | −2.08925 | ||||||||
\(704\) | −2.50286 | − | 4.33507i | −0.0943299 | − | 0.163384i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.13630 | − | 7.16429i | 0.155672 | − | 0.269632i | ||||
\(707\) | 1.07328 | − | 1.85898i | 0.0403649 | − | 0.0699140i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.9418 | − | 24.1480i | −0.523597 | − | 0.906896i | −0.999623 | − | 0.0274647i | \(-0.991257\pi\) |
0.476026 | − | 0.879431i | \(-0.342077\pi\) | |||||||
\(710\) | −10.4715 | −0.392987 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −9.93880 | −0.372472 | ||||||||
\(713\) | 5.21955 | + | 9.04053i | 0.195474 | + | 0.338571i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.95290 | + | 6.84663i | −0.147830 | + | 0.256049i | ||||
\(716\) | 4.50814 | − | 7.80833i | 0.168477 | − | 0.291811i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 10.5651 | + | 18.2993i | 0.394286 | + | 0.682924i | ||||
\(719\) | 10.7704 | 0.401668 | 0.200834 | − | 0.979625i | \(-0.435635\pi\) | ||||
0.200834 | + | 0.979625i | \(0.435635\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.81155 | −0.179191 | ||||||||
\(722\) | 16.1361 | + | 27.9485i | 0.600522 | + | 1.04013i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.14087 | − | 7.17219i | 0.153894 | − | 0.266552i | ||||
\(725\) | −15.5483 | + | 26.9304i | −0.577449 | + | 1.00017i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.23443 | − | 2.13810i | −0.0457826 | − | 0.0792977i | 0.842226 | − | 0.539125i | \(-0.181245\pi\) |
−0.888009 | + | 0.459827i | \(0.847911\pi\) | |||||||
\(728\) | 6.14578 | 0.227778 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.16766 | 0.117240 | ||||||||
\(731\) | −2.23448 | − | 3.87023i | −0.0826451 | − | 0.143146i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.20513 | − | 10.7476i | 0.229192 | − | 0.396972i | −0.728377 | − | 0.685177i | \(-0.759725\pi\) |
0.957569 | + | 0.288205i | \(0.0930584\pi\) | |||||||
\(734\) | −6.59400 | + | 11.4211i | −0.243389 | + | 0.421562i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −13.2698 | − | 22.9840i | −0.489131 | − | 0.847200i | ||||
\(737\) | −28.9050 | −1.06473 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 38.5237 | 1.41712 | 0.708559 | − | 0.705651i | \(-0.249346\pi\) | ||||
0.708559 | + | 0.705651i | \(0.249346\pi\) | |||||||
\(740\) | 2.61750 | + | 4.53365i | 0.0962213 | + | 0.166660i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.57910 | + | 9.66328i | −0.204815 | + | 0.354750i | ||||
\(743\) | 18.4038 | − | 31.8762i | 0.675168 | − | 1.16943i | −0.301251 | − | 0.953545i | \(-0.597404\pi\) |
0.976420 | − | 0.215881i | \(-0.0692624\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.24345 | + | 5.61783i | 0.118831 | + | 0.205821i | ||||
\(746\) | −21.4361 | −0.784831 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 14.9873 | 0.547990 | ||||||||
\(749\) | −2.80072 | − | 4.85099i | −0.102336 | − | 0.177251i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.09925 | + | 12.2963i | −0.259055 | + | 0.448697i | −0.965989 | − | 0.258583i | \(-0.916745\pi\) |
0.706934 | + | 0.707280i | \(0.250078\pi\) | |||||||
\(752\) | 23.4863 | − | 40.6795i | 0.856458 | − | 1.48343i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 42.4169 | + | 73.4683i | 1.54473 | + | 2.67556i | ||||
\(755\) | 3.47822 | 0.126585 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.5676 | 0.384085 | 0.192042 | − | 0.981387i | \(-0.438489\pi\) | ||||
0.192042 | + | 0.981387i | \(0.438489\pi\) | |||||||
\(758\) | −4.65826 | − | 8.06835i | −0.169196 | − | 0.293056i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.61908 | + | 2.80433i | −0.0587302 | + | 0.101724i | ||||
\(761\) | 13.7421 | − | 23.8020i | 0.498151 | − | 0.862823i | −0.501847 | − | 0.864957i | \(-0.667346\pi\) |
0.999998 | + | 0.00213360i | \(0.000679147\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.0259799 | − | 0.0449985i | −0.000940535 | − | 0.00162906i | ||||
\(764\) | 12.9482 | 0.468448 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 29.4417 | 1.06377 | ||||||||
\(767\) | 46.8990 | + | 81.2315i | 1.69343 | + | 2.93310i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.50415 | − | 9.53346i | 0.198485 | − | 0.343785i | −0.749553 | − | 0.661945i | \(-0.769731\pi\) |
0.948037 | + | 0.318159i | \(0.103065\pi\) | |||||||
\(770\) | 0.691314 | − | 1.19739i | 0.0249132 | − | 0.0431510i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.26916 | − | 7.39440i | −0.153650 | − | 0.266130i | ||||
\(773\) | 40.1139 | 1.44280 | 0.721398 | − | 0.692521i | \(-0.243500\pi\) | ||||
0.721398 | + | 0.692521i | \(0.243500\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.2191 | 0.438921 | ||||||||
\(776\) | −9.25352 | − | 16.0276i | −0.332182 | − | 0.575356i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −15.7056 | + | 27.2029i | −0.563073 | + | 0.975272i | ||||
\(779\) | 2.75889 | − | 4.77854i | 0.0988475 | − | 0.171209i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 16.8246 | + | 29.1410i | 0.602031 | + | 1.04275i | ||||
\(782\) | 33.4929 | 1.19771 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 31.9333 | 1.14047 | ||||||||
\(785\) | −1.49185 | − | 2.58395i | −0.0532462 | − | 0.0922252i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.84526 | − | 13.5884i | 0.279653 | − | 0.484374i | −0.691645 | − | 0.722237i | \(-0.743114\pi\) |
0.971299 | + | 0.237864i | \(0.0764472\pi\) | |||||||
\(788\) | −6.29605 | + | 10.9051i | −0.224287 | + | 0.388477i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −4.68932 | − | 8.12215i | −0.166839 | − | 0.288973i | ||||
\(791\) | 5.31326 | 0.188918 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.71529 | −0.202956 | ||||||||
\(794\) | −26.9913 | − | 46.7504i | −0.957887 | − | 1.65911i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −11.1452 | + | 19.3041i | −0.395033 | + | 0.684216i | ||||
\(797\) | −21.3861 | + | 37.0417i | −0.757533 | + | 1.31209i | 0.186572 | + | 0.982441i | \(0.440262\pi\) |
−0.944105 | + | 0.329645i | \(0.893071\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 21.4381 | + | 37.1320i | 0.758427 | + | 1.31363i | ||||
\(800\) | −31.0648 | −1.09831 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −26.0753 | −0.920751 | ||||||||
\(803\) | −5.08950 | − | 8.81527i | −0.179605 | − | 0.311084i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.614981 | − | 1.06518i | 0.0216752 | − | 0.0375426i | ||||
\(806\) | 16.6673 | − | 28.8685i | 0.587079 | − | 1.01685i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.91764 | − | 3.32144i | −0.0674622 | − | 0.116848i | ||||
\(809\) | −45.5750 | −1.60233 | −0.801166 | − | 0.598442i | \(-0.795787\pi\) | ||||
−0.801166 | + | 0.598442i | \(0.795787\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 19.9527 | 0.700634 | 0.350317 | − | 0.936631i | \(-0.386074\pi\) | ||||
0.350317 | + | 0.936631i | \(0.386074\pi\) | |||||||
\(812\) | −2.95294 | − | 5.11464i | −0.103628 | − | 0.179489i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 21.1299 | − | 36.5981i | 0.740603 | − | 1.28276i | ||||
\(815\) | −1.48737 | + | 2.57620i | −0.0521003 | + | 0.0902404i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.02922 | + | 5.24676i | 0.105979 | + | 0.183561i | ||||
\(818\) | −30.7440 | −1.07494 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.521451 | −0.0182098 | ||||||||
\(821\) | 23.5697 | + | 40.8238i | 0.822587 | + | 1.42476i | 0.903750 | + | 0.428061i | \(0.140803\pi\) |
−0.0811632 | + | 0.996701i | \(0.525864\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.1261 | + | 19.2710i | −0.387831 | + | 0.671744i | −0.992158 | − | 0.124993i | \(-0.960109\pi\) |
0.604326 | + | 0.796737i | \(0.293442\pi\) | |||||||
\(824\) | −4.29840 | + | 7.44505i | −0.149742 | + | 0.259361i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −8.20206 | − | 14.2064i | −0.285386 | − | 0.494303i | ||||
\(827\) | 46.9285 | 1.63186 | 0.815931 | − | 0.578149i | \(-0.196225\pi\) | ||||
0.815931 | + | 0.578149i | \(0.196225\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 48.4646 | 1.68324 | 0.841622 | − | 0.540067i | \(-0.181601\pi\) | ||||
0.841622 | + | 0.540067i | \(0.181601\pi\) | |||||||
\(830\) | 3.85134 | + | 6.67071i | 0.133682 | + | 0.231544i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −7.10973 | + | 12.3144i | −0.246485 | + | 0.426925i | ||||
\(833\) | −14.5742 | + | 25.2433i | −0.504967 | + | 0.874629i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.37459 | + | 5.84497i | 0.116783 | + | 0.202273i | ||||
\(836\) | −20.3179 | −0.702708 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −2.62742 | −0.0907627 | ||||||||
\(839\) | 4.63098 | + | 8.02109i | 0.159879 | + | 0.276919i | 0.934825 | − | 0.355109i | \(-0.115556\pi\) |
−0.774946 | + | 0.632028i | \(0.782223\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.37537 | + | 11.0425i | −0.219840 | + | 0.380775i | ||||
\(842\) | −1.26410 | + | 2.18948i | −0.0435637 | + | 0.0754546i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.867996 | − | 1.50341i | −0.0298777 | − | 0.0517496i | ||||
\(845\) | 16.8301 | 0.578974 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.15867 | 0.108533 | ||||||||
\(848\) | 21.6841 | + | 37.5580i | 0.744636 | + | 1.28975i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 19.6019 | − | 33.9514i | 0.672339 | − | 1.16452i | ||||
\(851\) | 18.7968 | − | 32.5571i | 0.644347 | − | 1.11604i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.3881 | + | 26.6529i | 0.526877 | + | 0.912578i | 0.999509 | + | 0.0313185i | \(0.00997062\pi\) |
−0.472632 | + | 0.881260i | \(0.656696\pi\) | |||||||
\(854\) | 0.999534 | 0.0342034 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −10.0081 | −0.342071 | ||||||||
\(857\) | −10.2118 | − | 17.6873i | −0.348828 | − | 0.604188i | 0.637213 | − | 0.770687i | \(-0.280087\pi\) |
−0.986042 | + | 0.166499i | \(0.946754\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.8263 | − | 30.8761i | 0.608226 | − | 1.05348i | −0.383306 | − | 0.923621i | \(-0.625215\pi\) |
0.991533 | − | 0.129858i | \(-0.0414521\pi\) | |||||||
\(860\) | 0.286272 | − | 0.495838i | 0.00976180 | − | 0.0169079i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 18.1149 | + | 31.3759i | 0.616995 | + | 1.06867i | ||||
\(863\) | −9.21342 | −0.313628 | −0.156814 | − | 0.987628i | \(-0.550122\pi\) | ||||
−0.156814 | + | 0.987628i | \(0.550122\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.32959 | 0.0452073 | ||||||||
\(866\) | −2.81765 | − | 4.88031i | −0.0957476 | − | 0.165840i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −1.16032 | + | 2.00974i | −0.0393840 | + | 0.0682151i | ||||
\(869\) | −15.0688 | + | 26.0999i | −0.511173 | + | 0.885377i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 41.0545 | + | 71.1084i | 1.39108 | + | 2.40942i | ||||
\(872\) | −0.0928368 | −0.00314385 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −45.4054 | −1.53586 | ||||||||
\(875\) | −1.46771 | − | 2.54215i | −0.0496176 | − | 0.0859402i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 28.9184 | − | 50.0881i | 0.976504 | − | 1.69135i | 0.301622 | − | 0.953428i | \(-0.402472\pi\) |
0.674881 | − | 0.737926i | \(-0.264195\pi\) | |||||||
\(878\) | 8.11330 | − | 14.0526i | 0.273810 | − | 0.474254i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.68691 | − | 4.65387i | −0.0905758 | − | 0.156882i | ||||
\(881\) | 28.9309 | 0.974706 | 0.487353 | − | 0.873205i | \(-0.337962\pi\) | ||||
0.487353 | + | 0.873205i | \(0.337962\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 43.7957 | 1.47384 | 0.736922 | − | 0.675978i | \(-0.236278\pi\) | ||||
0.736922 | + | 0.675978i | \(0.236278\pi\) | |||||||
\(884\) | −21.2868 | − | 36.8698i | −0.715953 | − | 1.24007i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 10.0040 | − | 17.3275i | 0.336092 | − | 0.582129i | ||||
\(887\) | −15.0762 | + | 26.1128i | −0.506210 | + | 0.876781i | 0.493764 | + | 0.869596i | \(0.335620\pi\) |
−0.999974 | + | 0.00718527i | \(0.997713\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.142358 | + | 0.246571i | 0.00477452 | + | 0.00826971i | ||||
\(890\) | 6.35154 | 0.212904 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −2.51296 | −0.0841401 | ||||||||
\(893\) | −29.0631 | − | 50.3387i | −0.972559 | − | 1.68452i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.47547 | − | 2.55559i | 0.0493195 | − | 0.0854239i | ||||
\(896\) | −3.21729 | + | 5.57250i | −0.107482 | + | 0.186164i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −17.1287 | − | 29.6677i | −0.571591 | − | 0.990025i | ||||
\(899\) | 16.4055 | 0.547153 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −39.5863 | −1.31881 | ||||||||
\(902\) | 2.10472 | + | 3.64548i | 0.0700795 | + | 0.121381i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.74661 | − | 8.22137i | 0.157870 | − | 0.273439i | ||||
\(905\) | 1.35526 | − | 2.34738i | 0.0450505 | − | 0.0780297i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 20.8491 | + | 36.1118i | 0.692284 | + | 1.19907i | 0.971088 | + | 0.238723i | \(0.0767289\pi\) |
−0.278803 | + | 0.960348i | \(0.589938\pi\) | |||||||
\(908\) | 16.8493 | 0.559165 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −3.92756 | −0.130197 | ||||||||
\(911\) | 4.40486 | + | 7.62944i | 0.145939 | + | 0.252775i | 0.929723 | − | 0.368260i | \(-0.120046\pi\) |
−0.783784 | + | 0.621034i | \(0.786713\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 12.3760 | − | 21.4358i | 0.409584 | − | 0.709421i | ||||
\(914\) | 17.9693 | − | 31.1238i | 0.594372 | − | 1.02948i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15.7023 | − | 27.1972i | −0.518819 | − | 0.898621i | ||||
\(917\) | 2.09466 | 0.0691718 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.9520 | −0.361273 | −0.180636 | − | 0.983550i | \(-0.557816\pi\) | ||||
−0.180636 | + | 0.983550i | \(0.557816\pi\) | |||||||
\(920\) | −1.09879 | − | 1.90316i | −0.0362260 | − | 0.0627453i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 36.6152 | − | 63.4194i | 1.20586 | − | 2.08861i | ||||
\(923\) | 47.7927 | − | 82.7793i | 1.57312 | − | 2.72472i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −22.0018 | − | 38.1083i | −0.723416 | − | 1.25299i | ||||
\(926\) | −40.6360 | −1.33538 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −41.7080 | −1.36913 | ||||||||
\(929\) | 14.1039 | + | 24.4287i | 0.462735 | + | 0.801481i | 0.999096 | − | 0.0425081i | \(-0.0135348\pi\) |
−0.536361 | + | 0.843989i | \(0.680201\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 19.7579 | − | 34.2217i | 0.647538 | − | 1.12157i | ||||
\(932\) | −5.15041 | + | 8.92078i | −0.168707 | + | 0.292210i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.56499 | − | 4.44270i | −0.0839291 | − | 0.145369i | ||||
\(935\) | 4.90519 | 0.160417 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −32.3092 | −1.05550 | −0.527748 | − | 0.849401i | \(-0.676963\pi\) | ||||
−0.527748 | + | 0.849401i | \(0.676963\pi\) | |||||||
\(938\) | −7.17992 | − | 12.4360i | −0.234433 | − | 0.406049i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.74657 | + | 4.75720i | −0.0895833 | + | 0.155163i | ||||
\(941\) | 11.5701 | − | 20.0400i | 0.377175 | − | 0.653286i | −0.613475 | − | 0.789714i | \(-0.710229\pi\) |
0.990650 | + | 0.136428i | \(0.0435623\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.87232 | + | 3.24296i | 0.0609712 | + | 0.105605i | ||||
\(944\) | −63.7575 | −2.07513 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.62190 | −0.150271 | ||||||||
\(947\) | 13.1368 | + | 22.7537i | 0.426890 | + | 0.739396i | 0.996595 | − | 0.0824539i | \(-0.0262757\pi\) |
−0.569705 | + | 0.821850i | \(0.692942\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −14.4575 | + | 25.0411i | −0.469309 | + | 0.812868i | ||||
\(950\) | −26.5737 | + | 46.0270i | −0.862165 | + | 1.49331i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.90659 | − | 3.30231i | −0.0617929 | − | 0.107028i | ||||
\(953\) | 8.01441 | 0.259612 | 0.129806 | − | 0.991539i | \(-0.458565\pi\) | ||||
0.129806 | + | 0.991539i | \(0.458565\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.23780 | 0.137132 | ||||||||
\(956\) | −2.25707 | − | 3.90936i | −0.0729989 | − | 0.126438i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −14.2991 | + | 24.7669i | −0.461985 | + | 0.800181i | ||||
\(959\) | 3.69330 | − | 6.39698i | 0.119263 | − | 0.206569i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.2768 | + | 21.2641i | 0.396027 | + | 0.685938i | ||||
\(962\) | −120.045 | −3.87042 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −16.3152 | −0.525476 | ||||||||
\(965\) | −1.39725 | − | 2.42011i | −0.0449791 | − | 0.0779061i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.2344 | + | 21.1906i | −0.393432 | + | 0.681445i | −0.992900 | − | 0.118954i | \(-0.962046\pi\) |
0.599467 | + | 0.800399i | \(0.295379\pi\) | |||||||
\(968\) | 2.82181 | − | 4.88751i | 0.0906963 | − | 0.157091i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.91360 | + | 10.2427i | 0.189874 | + | 0.328872i | ||||
\(971\) | 20.7426 | 0.665662 | 0.332831 | − | 0.942987i | \(-0.391996\pi\) | ||||
0.332831 | + | 0.942987i | \(0.391996\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.7075 | 0.503559 | ||||||||
\(974\) | −7.58202 | − | 13.1324i | −0.242943 | − | 0.420790i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.94243 | − | 3.36439i | 0.0621757 | − | 0.107692i | ||||
\(977\) | −2.31165 | + | 4.00389i | −0.0739562 | + | 0.128096i | −0.900632 | − | 0.434583i | \(-0.856896\pi\) |
0.826676 | + | 0.562679i | \(0.190229\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −10.2051 | − | 17.6757i | −0.326156 | − | 0.564918i | ||||
\(980\) | −3.73439 | −0.119291 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 39.1174 | 1.24829 | ||||||||
\(983\) | −21.9604 | − | 38.0364i | −0.700427 | − | 1.21317i | −0.968317 | − | 0.249725i | \(-0.919660\pi\) |
0.267890 | − | 0.963449i | \(-0.413674\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.06063 | + | 3.56912i | −0.0656572 | + | 0.113722i | ||||
\(986\) | 26.3178 | − | 45.5837i | 0.838128 | − | 1.45168i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 28.8579 | + | 49.9834i | 0.918093 | + | 1.59018i | ||||
\(989\) | −4.11156 | −0.130740 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 30.0775 | 0.955442 | 0.477721 | − | 0.878511i | \(-0.341463\pi\) | ||||
0.477721 | + | 0.878511i | \(0.341463\pi\) | |||||||
\(992\) | 8.19435 | + | 14.1930i | 0.260171 | + | 0.450629i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −8.35835 | + | 14.4771i | −0.265111 | + | 0.459185i | ||||
\(995\) | −3.64772 | + | 6.31804i | −0.115641 | + | 0.200295i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.7130 | + | 22.0196i | 0.402625 | + | 0.697367i | 0.994042 | − | 0.108999i | \(-0.0347646\pi\) |
−0.591417 | + | 0.806366i | \(0.701431\pi\) | |||||||
\(998\) | 16.1568 | 0.511436 | ||||||||
\(999\) | 0 | 0 |
(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 | 1161.2.f.d.388.17 | 40 | ||
3.2 | odd | 2 | 387.2.f.d.130.4 | ✓ | 40 | ||
9.2 | odd | 6 | 387.2.f.d.259.4 | yes | 40 | ||
9.4 | even | 3 | 3483.2.a.u.1.4 | 20 | |||
9.5 | odd | 6 | 3483.2.a.t.1.17 | 20 | |||
9.7 | even | 3 | inner | 1161.2.f.d.775.17 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
387.2.f.d.130.4 | ✓ | 40 | 3.2 | odd | 2 | ||
387.2.f.d.259.4 | yes | 40 | 9.2 | odd | 6 | ||
1161.2.f.d.388.17 | 40 | 1.1 | even | 1 | trivial | ||
1161.2.f.d.775.17 | 40 | 9.7 | even | 3 | inner | ||
3483.2.a.t.1.17 | 20 | 9.5 | odd | 6 | |||
3483.2.a.u.1.4 | 20 | 9.4 | even | 3 |