Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 217.2 | ||
Character | \(\chi\) | \(=\) | 690.217 |
Dual form | 690.2.w.b.283.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{3}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0713392 | + | 0.997452i | −0.0504444 | + | 0.705305i | ||||
\(3\) | 0.977147 | − | 0.212565i | 0.564156 | − | 0.122725i | ||||
\(4\) | −0.989821 | − | 0.142315i | −0.494911 | − | 0.0711574i | ||||
\(5\) | −1.67104 | + | 1.48580i | −0.747313 | + | 0.664472i | ||||
\(6\) | 0.142315 | + | 0.989821i | 0.0580998 | + | 0.404093i | ||||
\(7\) | 3.33121 | − | 1.81898i | 1.25908 | − | 0.687509i | 0.295605 | − | 0.955310i | \(-0.404479\pi\) |
0.963474 | + | 0.267801i | \(0.0862969\pi\) | |||||||
\(8\) | 0.212565 | − | 0.977147i | 0.0751532 | − | 0.345474i | ||||
\(9\) | 0.909632 | − | 0.415415i | 0.303211 | − | 0.138472i | ||||
\(10\) | −1.36281 | − | 1.77278i | −0.430958 | − | 0.560603i | ||||
\(11\) | −0.824208 | − | 0.714181i | −0.248508 | − | 0.215334i | 0.521695 | − | 0.853132i | \(-0.325300\pi\) |
−0.770203 | + | 0.637798i | \(0.779845\pi\) | |||||||
\(12\) | −0.997452 | + | 0.0713392i | −0.287940 | + | 0.0205938i | ||||
\(13\) | 1.01232 | − | 1.85393i | 0.280768 | − | 0.514189i | −0.698796 | − | 0.715321i | \(-0.746280\pi\) |
0.979564 | + | 0.201133i | \(0.0644622\pi\) | |||||||
\(14\) | 1.57670 | + | 3.45249i | 0.421390 | + | 0.922716i | ||||
\(15\) | −1.31702 | + | 1.80705i | −0.340054 | + | 0.466580i | ||||
\(16\) | 0.959493 | + | 0.281733i | 0.239873 | + | 0.0704331i | ||||
\(17\) | 6.37613 | + | 4.77311i | 1.54644 | + | 1.15765i | 0.928446 | + | 0.371467i | \(0.121145\pi\) |
0.617994 | + | 0.786183i | \(0.287946\pi\) | |||||||
\(18\) | 0.349464 | + | 0.936950i | 0.0823695 | + | 0.220841i | ||||
\(19\) | −0.435879 | + | 3.03161i | −0.0999975 | + | 0.695498i | 0.876725 | + | 0.480992i | \(0.159723\pi\) |
−0.976723 | + | 0.214506i | \(0.931186\pi\) | |||||||
\(20\) | 1.86549 | − | 1.23287i | 0.417135 | − | 0.275677i | ||||
\(21\) | 2.86843 | − | 2.48551i | 0.625943 | − | 0.542383i | ||||
\(22\) | 0.771159 | − | 0.771159i | 0.164412 | − | 0.164412i | ||||
\(23\) | 4.50466 | + | 1.64562i | 0.939286 | + | 0.343135i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 0.584771 | − | 4.96569i | 0.116954 | − | 0.993137i | ||||
\(26\) | 1.77699 | + | 1.14200i | 0.348497 | + | 0.223965i | ||||
\(27\) | 0.800541 | − | 0.599278i | 0.154064 | − | 0.115331i | ||||
\(28\) | −3.55617 | + | 1.32638i | −0.672053 | + | 0.250663i | ||||
\(29\) | −3.03728 | + | 0.436695i | −0.564009 | + | 0.0810923i | −0.418421 | − | 0.908253i | \(-0.637416\pi\) |
−0.145588 | + | 0.989345i | \(0.546507\pi\) | |||||||
\(30\) | −1.70850 | − | 1.44258i | −0.311927 | − | 0.263378i | ||||
\(31\) | 4.68740 | − | 3.01241i | 0.841883 | − | 0.541045i | −0.0471506 | − | 0.998888i | \(-0.515014\pi\) |
0.889033 | + | 0.457843i | \(0.151378\pi\) | |||||||
\(32\) | −0.349464 | + | 0.936950i | −0.0617771 | + | 0.165631i | ||||
\(33\) | −0.957183 | − | 0.522661i | −0.166624 | − | 0.0909836i | ||||
\(34\) | −5.21582 | + | 6.01938i | −0.894506 | + | 1.03231i | ||||
\(35\) | −2.86395 | + | 7.98912i | −0.484096 | + | 1.35041i | ||||
\(36\) | −0.959493 | + | 0.281733i | −0.159915 | + | 0.0469554i | ||||
\(37\) | −3.91310 | − | 1.45951i | −0.643309 | − | 0.239942i | 0.00657114 | − | 0.999978i | \(-0.497908\pi\) |
−0.649880 | + | 0.760036i | \(0.725181\pi\) | |||||||
\(38\) | −2.99279 | − | 0.651041i | −0.485494 | − | 0.105613i | ||||
\(39\) | 0.595107 | − | 2.02675i | 0.0952935 | − | 0.324540i | ||||
\(40\) | 1.09664 | + | 1.94869i | 0.173395 | + | 0.308114i | ||||
\(41\) | −3.28427 | + | 7.19155i | −0.512917 | + | 1.12313i | 0.459135 | + | 0.888367i | \(0.348159\pi\) |
−0.972052 | + | 0.234765i | \(0.924568\pi\) | |||||||
\(42\) | 2.27455 | + | 3.03844i | 0.350970 | + | 0.468841i | ||||
\(43\) | 1.55833 | + | 7.16354i | 0.237644 | + | 1.09243i | 0.929047 | + | 0.369961i | \(0.120629\pi\) |
−0.691404 | + | 0.722469i | \(0.743007\pi\) | |||||||
\(44\) | 0.714181 | + | 0.824208i | 0.107667 | + | 0.124254i | ||||
\(45\) | −0.902809 | + | 2.04571i | −0.134583 | + | 0.304957i | ||||
\(46\) | −1.96278 | + | 4.37578i | −0.289396 | + | 0.645174i | ||||
\(47\) | 2.60941 | + | 2.60941i | 0.380621 | + | 0.380621i | 0.871326 | − | 0.490705i | \(-0.163261\pi\) |
−0.490705 | + | 0.871326i | \(0.663261\pi\) | |||||||
\(48\) | 0.997452 | + | 0.0713392i | 0.143970 | + | 0.0102969i | ||||
\(49\) | 4.00380 | − | 6.23003i | 0.571971 | − | 0.890005i | ||||
\(50\) | 4.91132 | + | 0.937529i | 0.694565 | + | 0.132587i | ||||
\(51\) | 7.24502 | + | 3.30869i | 1.01451 | + | 0.463309i | ||||
\(52\) | −1.26586 | + | 1.69099i | −0.175544 | + | 0.234499i | ||||
\(53\) | −4.67447 | − | 8.56066i | −0.642089 | − | 1.17590i | −0.972686 | − | 0.232125i | \(-0.925432\pi\) |
0.330597 | − | 0.943772i | \(-0.392750\pi\) | |||||||
\(54\) | 0.540641 | + | 0.841254i | 0.0735719 | + | 0.114480i | ||||
\(55\) | 2.43842 | − | 0.0311856i | 0.328797 | − | 0.00420507i | ||||
\(56\) | −1.06931 | − | 3.64173i | −0.142893 | − | 0.486647i | ||||
\(57\) | 0.218496 | + | 3.05498i | 0.0289405 | + | 0.404641i | ||||
\(58\) | −0.218905 | − | 3.06070i | −0.0287437 | − | 0.401889i | ||||
\(59\) | −2.33393 | − | 7.94863i | −0.303852 | − | 1.03482i | −0.959955 | − | 0.280153i | \(-0.909615\pi\) |
0.656104 | − | 0.754671i | \(-0.272203\pi\) | |||||||
\(60\) | 1.56079 | − | 1.60123i | 0.201497 | − | 0.206718i | ||||
\(61\) | 2.89919 | + | 4.51123i | 0.371204 | + | 0.577604i | 0.975729 | − | 0.218982i | \(-0.0702735\pi\) |
−0.604525 | + | 0.796586i | \(0.706637\pi\) | |||||||
\(62\) | 2.67034 | + | 4.89036i | 0.339134 | + | 0.621077i | ||||
\(63\) | 2.27455 | − | 3.03844i | 0.286566 | − | 0.382807i | ||||
\(64\) | −0.909632 | − | 0.415415i | −0.113704 | − | 0.0519269i | ||||
\(65\) | 1.06294 | + | 4.60212i | 0.131842 | + | 0.570822i | ||||
\(66\) | 0.589614 | − | 0.917457i | 0.0725765 | − | 0.112931i | ||||
\(67\) | −0.125617 | − | 0.00898434i | −0.0153466 | − | 0.00109761i | 0.0636638 | − | 0.997971i | \(-0.479721\pi\) |
−0.0790104 | + | 0.996874i | \(0.525176\pi\) | |||||||
\(68\) | −5.63195 | − | 5.63195i | −0.682974 | − | 0.682974i | ||||
\(69\) | 4.75151 | + | 0.650474i | 0.572015 | + | 0.0783079i | ||||
\(70\) | −7.76445 | − | 3.42659i | −0.928030 | − | 0.409556i | ||||
\(71\) | 4.04850 | + | 4.67221i | 0.480468 | + | 0.554490i | 0.943294 | − | 0.331960i | \(-0.107710\pi\) |
−0.462826 | + | 0.886449i | \(0.653164\pi\) | |||||||
\(72\) | −0.212565 | − | 0.977147i | −0.0250511 | − | 0.115158i | ||||
\(73\) | −2.47926 | − | 3.31190i | −0.290175 | − | 0.387629i | 0.631638 | − | 0.775264i | \(-0.282383\pi\) |
−0.921813 | + | 0.387635i | \(0.873292\pi\) | |||||||
\(74\) | 1.73495 | − | 3.79901i | 0.201684 | − | 0.441626i | ||||
\(75\) | −0.484125 | − | 4.97651i | −0.0559020 | − | 0.574638i | ||||
\(76\) | 0.862885 | − | 2.93872i | 0.0989797 | − | 0.337094i | ||||
\(77\) | −4.04469 | − | 0.879869i | −0.460935 | − | 0.100270i | ||||
\(78\) | 1.97913 | + | 0.738178i | 0.224093 | + | 0.0835822i | ||||
\(79\) | 14.2008 | − | 4.16973i | 1.59771 | − | 0.469131i | 0.642804 | − | 0.766030i | \(-0.277771\pi\) |
0.954909 | + | 0.296900i | \(0.0959527\pi\) | |||||||
\(80\) | −2.02195 | + | 0.954831i | −0.226061 | + | 0.106753i | ||||
\(81\) | 0.654861 | − | 0.755750i | 0.0727623 | − | 0.0839722i | ||||
\(82\) | −6.93893 | − | 3.78894i | −0.766277 | − | 0.418419i | ||||
\(83\) | −0.411173 | + | 1.10240i | −0.0451321 | + | 0.121004i | −0.957560 | − | 0.288233i | \(-0.906932\pi\) |
0.912428 | + | 0.409237i | \(0.134205\pi\) | |||||||
\(84\) | −3.19296 | + | 2.05199i | −0.348380 | + | 0.223891i | ||||
\(85\) | −17.7467 | + | 1.49761i | −1.92490 | + | 0.162438i | ||||
\(86\) | −7.25646 | + | 1.04332i | −0.782484 | + | 0.112504i | ||||
\(87\) | −2.87504 | + | 1.07234i | −0.308237 | + | 0.114967i | ||||
\(88\) | −0.873057 | + | 0.653563i | −0.0930682 | + | 0.0696700i | ||||
\(89\) | −1.56947 | − | 1.00864i | −0.166363 | − | 0.106915i | 0.454810 | − | 0.890589i | \(-0.349707\pi\) |
−0.621173 | + | 0.783673i | \(0.713344\pi\) | |||||||
\(90\) | −1.97609 | − | 1.04645i | −0.208299 | − | 0.110305i | ||||
\(91\) | − | 8.01724i | − | 0.840435i | ||||||
\(92\) | −4.22461 | − | 2.26995i | −0.440446 | − | 0.236658i | ||||
\(93\) | 3.93995 | − | 3.93995i | 0.408554 | − | 0.408554i | ||||
\(94\) | −2.78891 | + | 2.41661i | −0.287654 | + | 0.249254i | ||||
\(95\) | −3.77600 | − | 5.71357i | −0.387409 | − | 0.586200i | ||||
\(96\) | −0.142315 | + | 0.989821i | −0.0145249 | + | 0.101023i | ||||
\(97\) | −2.58718 | − | 6.93649i | −0.262688 | − | 0.704294i | −0.999599 | − | 0.0283047i | \(-0.990989\pi\) |
0.736911 | − | 0.675990i | \(-0.236284\pi\) | |||||||
\(98\) | 5.92853 | + | 4.43804i | 0.598872 | + | 0.448310i | ||||
\(99\) | −1.04641 | − | 0.307253i | −0.105168 | − | 0.0308801i | ||||
\(100\) | −1.28551 | + | 4.83192i | −0.128551 | + | 0.483192i | ||||
\(101\) | 3.99386 | + | 8.74532i | 0.397404 | + | 0.870192i | 0.997527 | + | 0.0702849i | \(0.0223908\pi\) |
−0.600123 | + | 0.799907i | \(0.704882\pi\) | |||||||
\(102\) | −3.81711 | + | 6.99052i | −0.377950 | + | 0.692165i | ||||
\(103\) | −16.1698 | + | 1.15648i | −1.59325 | + | 0.113952i | −0.839557 | − | 0.543271i | \(-0.817186\pi\) |
−0.753696 | + | 0.657223i | \(0.771731\pi\) | |||||||
\(104\) | −1.59638 | − | 1.38327i | −0.156538 | − | 0.135641i | ||||
\(105\) | −1.10029 | + | 8.41532i | −0.107377 | + | 0.821251i | ||||
\(106\) | 8.87232 | − | 4.05185i | 0.861756 | − | 0.393551i | ||||
\(107\) | −0.127752 | + | 0.587265i | −0.0123502 | + | 0.0567731i | −0.982910 | − | 0.184089i | \(-0.941067\pi\) |
0.970559 | + | 0.240862i | \(0.0774302\pi\) | |||||||
\(108\) | −0.877679 | + | 0.479249i | −0.0844547 | + | 0.0461158i | ||||
\(109\) | −1.18599 | − | 8.24871i | −0.113597 | − | 0.790084i | −0.964371 | − | 0.264552i | \(-0.914776\pi\) |
0.850774 | − | 0.525531i | \(-0.176133\pi\) | |||||||
\(110\) | −0.142849 | + | 2.43443i | −0.0136201 | + | 0.232114i | ||||
\(111\) | −4.13391 | − | 0.594367i | −0.392374 | − | 0.0564148i | ||||
\(112\) | 3.70874 | − | 0.806787i | 0.350443 | − | 0.0762342i | ||||
\(113\) | 1.28754 | − | 18.0022i | 0.121122 | − | 1.69351i | −0.466620 | − | 0.884458i | \(-0.654528\pi\) |
0.587742 | − | 0.809048i | \(-0.300017\pi\) | |||||||
\(114\) | −3.06278 | −0.286856 | ||||||||
\(115\) | −9.97254 | + | 3.94315i | −0.929944 | + | 0.367700i | ||||
\(116\) | 3.06852 | 0.284904 | ||||||||
\(117\) | 0.150691 | − | 2.10693i | 0.0139314 | − | 0.194786i | ||||
\(118\) | 8.09488 | − | 1.76093i | 0.745194 | − | 0.162107i | ||||
\(119\) | 29.9224 | + | 4.30220i | 2.74299 | + | 0.394382i | ||||
\(120\) | 1.48580 | + | 1.67104i | 0.135635 | + | 0.152545i | ||||
\(121\) | −1.39620 | − | 9.71077i | −0.126927 | − | 0.882797i | ||||
\(122\) | −4.70657 | + | 2.56998i | −0.426113 | + | 0.232675i | ||||
\(123\) | −1.68054 | + | 7.72533i | −0.151529 | + | 0.696569i | ||||
\(124\) | −5.06840 | + | 2.31466i | −0.455156 | + | 0.207863i | ||||
\(125\) | 6.40086 | + | 9.16673i | 0.572510 | + | 0.819898i | ||||
\(126\) | 2.86843 | + | 2.48551i | 0.255540 | + | 0.221427i | ||||
\(127\) | −6.39705 | + | 0.457526i | −0.567646 | + | 0.0405989i | −0.352213 | − | 0.935920i | \(-0.614571\pi\) |
−0.215433 | + | 0.976519i | \(0.569116\pi\) | |||||||
\(128\) | 0.479249 | − | 0.877679i | 0.0423600 | − | 0.0775766i | ||||
\(129\) | 3.04544 | + | 6.66858i | 0.268136 | + | 0.587136i | ||||
\(130\) | −4.66622 | + | 0.731925i | −0.409255 | + | 0.0641941i | ||||
\(131\) | −19.1601 | − | 5.62592i | −1.67403 | − | 0.491539i | −0.699279 | − | 0.714849i | \(-0.746495\pi\) |
−0.974747 | + | 0.223310i | \(0.928314\pi\) | |||||||
\(132\) | 0.873057 | + | 0.653563i | 0.0759899 | + | 0.0568853i | ||||
\(133\) | 4.06242 | + | 10.8918i | 0.352257 | + | 0.944436i | ||||
\(134\) | 0.0179229 | − | 0.124656i | 0.00154830 | − | 0.0107687i | ||||
\(135\) | −0.447330 | + | 2.19087i | −0.0385000 | + | 0.188560i | ||||
\(136\) | 6.01938 | − | 5.21582i | 0.516157 | − | 0.447253i | ||||
\(137\) | −6.93959 | + | 6.93959i | −0.592889 | + | 0.592889i | −0.938411 | − | 0.345521i | \(-0.887702\pi\) |
0.345521 | + | 0.938411i | \(0.387702\pi\) | |||||||
\(138\) | −0.987786 | + | 4.69300i | −0.0840859 | + | 0.399495i | ||||
\(139\) | − | 6.28479i | − | 0.533069i | −0.963825 | − | 0.266535i | \(-0.914121\pi\) | ||
0.963825 | − | 0.266535i | \(-0.0858787\pi\) | |||||||
\(140\) | 3.97177 | − | 7.50022i | 0.335676 | − | 0.633884i | ||||
\(141\) | 3.10445 | + | 1.99511i | 0.261441 | + | 0.168018i | ||||
\(142\) | −4.94913 | + | 3.70487i | −0.415321 | + | 0.310906i | ||||
\(143\) | −2.15841 | + | 0.805045i | −0.180495 | + | 0.0673212i | ||||
\(144\) | 0.989821 | − | 0.142315i | 0.0824851 | − | 0.0118596i | ||||
\(145\) | 4.42659 | − | 5.24254i | 0.367608 | − | 0.435370i | ||||
\(146\) | 3.48033 | − | 2.23667i | 0.288034 | − | 0.185108i | ||||
\(147\) | 2.58801 | − | 6.93873i | 0.213456 | − | 0.572296i | ||||
\(148\) | 3.66556 | + | 2.00155i | 0.301307 | + | 0.164526i | ||||
\(149\) | 10.4930 | − | 12.1096i | 0.859623 | − | 0.992058i | −0.140375 | − | 0.990098i | \(-0.544831\pi\) |
0.999998 | − | 0.00195920i | \(-0.000623634\pi\) | |||||||
\(150\) | 4.99836 | − | 0.127872i | 0.408115 | − | 0.0104407i | ||||
\(151\) | −12.0029 | + | 3.52436i | −0.976780 | + | 0.286809i | −0.730895 | − | 0.682490i | \(-0.760897\pi\) |
−0.245886 | + | 0.969299i | \(0.579079\pi\) | |||||||
\(152\) | 2.86967 | + | 1.07033i | 0.232761 | + | 0.0868154i | ||||
\(153\) | 7.78276 | + | 1.69304i | 0.629199 | + | 0.136874i | ||||
\(154\) | 1.16617 | − | 3.97162i | 0.0939728 | − | 0.320042i | ||||
\(155\) | −3.35700 | + | 11.9984i | −0.269641 | + | 0.963737i | ||||
\(156\) | −0.877487 | + | 1.92143i | −0.0702552 | + | 0.153837i | ||||
\(157\) | 4.25428 | + | 5.68305i | 0.339529 | + | 0.453557i | 0.937513 | − | 0.347951i | \(-0.113122\pi\) |
−0.597984 | + | 0.801508i | \(0.704031\pi\) | |||||||
\(158\) | 3.14603 | + | 14.4621i | 0.250285 | + | 1.15054i | ||||
\(159\) | −6.38735 | − | 7.37139i | −0.506550 | − | 0.584589i | ||||
\(160\) | −0.808154 | − | 2.08492i | −0.0638902 | − | 0.164827i | ||||
\(161\) | 17.9993 | − | 2.71199i | 1.41854 | − | 0.213734i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | −16.7993 | − | 1.20151i | −1.31582 | − | 0.0941095i | −0.604291 | − | 0.796764i | \(-0.706543\pi\) |
−0.711531 | + | 0.702654i | \(0.751998\pi\) | |||||||
\(164\) | 4.27431 | − | 6.65095i | 0.333767 | − | 0.519352i | ||||
\(165\) | 2.37607 | − | 0.548796i | 0.184976 | − | 0.0427237i | ||||
\(166\) | −1.07026 | − | 0.488769i | −0.0830679 | − | 0.0379358i | ||||
\(167\) | −14.9940 | + | 20.0297i | −1.16027 | + | 1.54994i | −0.379420 | + | 0.925225i | \(0.623876\pi\) |
−0.780852 | + | 0.624717i | \(0.785214\pi\) | |||||||
\(168\) | −1.81898 | − | 3.33121i | −0.140337 | − | 0.257009i | ||||
\(169\) | 4.61606 | + | 7.18273i | 0.355082 | + | 0.552518i | ||||
\(170\) | −0.227755 | − | 17.8083i | −0.0174680 | − | 1.36584i | ||||
\(171\) | 0.862885 | + | 2.93872i | 0.0659864 | + | 0.224729i | ||||
\(172\) | −0.522993 | − | 7.31240i | −0.0398779 | − | 0.557565i | ||||
\(173\) | −1.06345 | − | 14.8690i | −0.0808526 | − | 1.13047i | −0.862267 | − | 0.506454i | \(-0.830956\pi\) |
0.781414 | − | 0.624013i | \(-0.214499\pi\) | |||||||
\(174\) | −0.864501 | − | 2.94422i | −0.0655376 | − | 0.223201i | ||||
\(175\) | −7.08448 | − | 17.6054i | −0.535537 | − | 1.33085i | ||||
\(176\) | −0.589614 | − | 0.917457i | −0.0444438 | − | 0.0691560i | ||||
\(177\) | −3.97019 | − | 7.27087i | −0.298418 | − | 0.546512i | ||||
\(178\) | 1.11803 | − | 1.49351i | 0.0838000 | − | 0.111944i | ||||
\(179\) | −20.9679 | − | 9.57570i | −1.56721 | − | 0.715721i | −0.572643 | − | 0.819805i | \(-0.694082\pi\) |
−0.994569 | + | 0.104084i | \(0.966809\pi\) | |||||||
\(180\) | 1.18475 | − | 1.89641i | 0.0883064 | − | 0.141350i | ||||
\(181\) | −1.31753 | + | 2.05012i | −0.0979314 | + | 0.152384i | −0.886762 | − | 0.462227i | \(-0.847051\pi\) |
0.788830 | + | 0.614611i | \(0.210687\pi\) | |||||||
\(182\) | 7.99681 | + | 0.571943i | 0.592763 | + | 0.0423953i | ||||
\(183\) | 3.79187 | + | 3.79187i | 0.280303 | + | 0.280303i | ||||
\(184\) | 2.56554 | − | 4.05191i | 0.189134 | − | 0.298711i | ||||
\(185\) | 8.70750 | − | 3.37519i | 0.640188 | − | 0.248149i | ||||
\(186\) | 3.64884 | + | 4.21098i | 0.267546 | + | 0.308764i | ||||
\(187\) | −1.84640 | − | 8.48775i | −0.135022 | − | 0.620686i | ||||
\(188\) | −2.21149 | − | 2.95421i | −0.161290 | − | 0.215458i | ||||
\(189\) | 1.57670 | − | 3.45249i | 0.114688 | − | 0.251132i | ||||
\(190\) | 5.96839 | − | 3.35878i | 0.432993 | − | 0.243671i | ||||
\(191\) | 1.75293 | − | 5.96993i | 0.126838 | − | 0.431969i | −0.871449 | − | 0.490486i | \(-0.836819\pi\) |
0.998286 | + | 0.0585174i | \(0.0186373\pi\) | |||||||
\(192\) | −0.977147 | − | 0.212565i | −0.0705195 | − | 0.0153406i | ||||
\(193\) | −11.1428 | − | 4.15606i | −0.802078 | − | 0.299160i | −0.0852053 | − | 0.996363i | \(-0.527155\pi\) |
−0.716873 | + | 0.697204i | \(0.754427\pi\) | |||||||
\(194\) | 7.10339 | − | 2.08574i | 0.509994 | − | 0.149748i | ||||
\(195\) | 2.01690 | + | 4.27100i | 0.144433 | + | 0.305853i | ||||
\(196\) | −4.84967 | + | 5.59682i | −0.346405 | + | 0.399773i | ||||
\(197\) | 9.28584 | + | 5.07045i | 0.661589 | + | 0.361255i | 0.774701 | − | 0.632327i | \(-0.217900\pi\) |
−0.113112 | + | 0.993582i | \(0.536082\pi\) | |||||||
\(198\) | 0.381120 | − | 1.02182i | 0.0270850 | − | 0.0726177i | ||||
\(199\) | 17.8524 | − | 11.4731i | 1.26553 | − | 0.813304i | 0.276495 | − | 0.961015i | \(-0.410827\pi\) |
0.989030 | + | 0.147711i | \(0.0471907\pi\) | |||||||
\(200\) | −4.72790 | − | 1.62694i | −0.334313 | − | 0.115042i | ||||
\(201\) | −0.124656 | + | 0.0179229i | −0.00879259 | + | 0.00126418i | ||||
\(202\) | −9.00796 | + | 3.35980i | −0.633798 | + | 0.236394i | ||||
\(203\) | −9.32349 | + | 6.97948i | −0.654381 | + | 0.489863i | ||||
\(204\) | −6.70040 | − | 4.30609i | −0.469122 | − | 0.301486i | ||||
\(205\) | −5.19708 | − | 16.8972i | −0.362980 | − | 1.18015i | ||||
\(206\) | − | 16.2111i | − | 1.12948i | ||||||
\(207\) | 4.78120 | − | 0.374398i | 0.332316 | − | 0.0260225i | ||||
\(208\) | 1.49363 | − | 1.49363i | 0.103565 | − | 0.103565i | ||||
\(209\) | 2.52437 | − | 2.18738i | 0.174614 | − | 0.151304i | ||||
\(210\) | −8.31539 | − | 1.69783i | −0.573816 | − | 0.117161i | ||||
\(211\) | 0.312855 | − | 2.17596i | 0.0215379 | − | 0.149799i | −0.976215 | − | 0.216806i | \(-0.930436\pi\) |
0.997752 | + | 0.0670073i | \(0.0213451\pi\) | |||||||
\(212\) | 3.40859 | + | 9.13877i | 0.234103 | + | 0.627654i | ||||
\(213\) | 4.94913 | + | 3.70487i | 0.339108 | + | 0.253853i | ||||
\(214\) | −0.576655 | − | 0.169321i | −0.0394193 | − | 0.0115746i | ||||
\(215\) | −13.2477 | − | 9.65521i | −0.903483 | − | 0.658480i | ||||
\(216\) | −0.415415 | − | 0.909632i | −0.0282654 | − | 0.0618926i | ||||
\(217\) | 10.1352 | − | 18.5613i | 0.688024 | − | 1.26002i | ||||
\(218\) | 8.31230 | − | 0.594508i | 0.562980 | − | 0.0402651i | ||||
\(219\) | −3.12660 | − | 2.70921i | −0.211276 | − | 0.183071i | ||||
\(220\) | −2.41804 | − | 0.316155i | −0.163024 | − | 0.0213152i | ||||
\(221\) | 15.3038 | − | 6.98899i | 1.02944 | − | 0.470130i | ||||
\(222\) | 0.887762 | − | 4.08098i | 0.0595827 | − | 0.273897i | ||||
\(223\) | 7.35421 | − | 4.01570i | 0.492474 | − | 0.268911i | −0.213764 | − | 0.976885i | \(-0.568572\pi\) |
0.706238 | + | 0.707974i | \(0.250391\pi\) | |||||||
\(224\) | 0.540153 | + | 3.75685i | 0.0360905 | + | 0.251015i | ||||
\(225\) | −1.53089 | − | 4.75987i | −0.102060 | − | 0.317325i | ||||
\(226\) | 17.8645 | + | 2.56853i | 1.18833 | + | 0.170856i | ||||
\(227\) | −7.70864 | + | 1.67691i | −0.511640 | + | 0.111301i | −0.460971 | − | 0.887415i | \(-0.652499\pi\) |
−0.0506688 | + | 0.998716i | \(0.516135\pi\) | |||||||
\(228\) | 0.218496 | − | 3.05498i | 0.0144703 | − | 0.202321i | ||||
\(229\) | −4.27189 | −0.282295 | −0.141147 | − | 0.989989i | \(-0.545079\pi\) | ||||
−0.141147 | + | 0.989989i | \(0.545079\pi\) | |||||||
\(230\) | −3.22167 | − | 10.2284i | −0.212430 | − | 0.674443i | ||||
\(231\) | −4.13929 | −0.272345 | ||||||||
\(232\) | −0.218905 | + | 3.06070i | −0.0143718 | + | 0.200945i | ||||
\(233\) | −27.0760 | + | 5.89002i | −1.77381 | + | 0.385868i | −0.976124 | − | 0.217212i | \(-0.930304\pi\) |
−0.797681 | + | 0.603080i | \(0.793940\pi\) | |||||||
\(234\) | 2.09081 | + | 0.300614i | 0.136681 | + | 0.0196517i | ||||
\(235\) | −8.23751 | − | 0.483364i | −0.537356 | − | 0.0315312i | ||||
\(236\) | 1.17896 | + | 8.19988i | 0.0767441 | + | 0.533767i | ||||
\(237\) | 12.9899 | − | 7.09303i | 0.843785 | − | 0.460742i | ||||
\(238\) | −6.42588 | + | 29.5393i | −0.416528 | + | 1.91475i | ||||
\(239\) | −15.7615 | + | 7.19805i | −1.01953 | + | 0.465603i | −0.853818 | − | 0.520571i | \(-0.825719\pi\) |
−0.165711 | + | 0.986174i | \(0.552992\pi\) | |||||||
\(240\) | −1.77278 | + | 1.36281i | −0.114433 | + | 0.0879689i | ||||
\(241\) | 14.8123 | + | 12.8350i | 0.954146 | + | 0.826772i | 0.984965 | − | 0.172753i | \(-0.0552661\pi\) |
−0.0308190 | + | 0.999525i | \(0.509812\pi\) | |||||||
\(242\) | 9.78563 | − | 0.699882i | 0.629044 | − | 0.0449901i | ||||
\(243\) | 0.479249 | − | 0.877679i | 0.0307438 | − | 0.0563031i | ||||
\(244\) | −2.22767 | − | 4.87792i | −0.142612 | − | 0.312277i | ||||
\(245\) | 2.56609 | + | 16.3595i | 0.163941 | + | 1.04517i | ||||
\(246\) | −7.58576 | − | 2.22738i | −0.483650 | − | 0.142012i | ||||
\(247\) | 5.17914 | + | 3.87706i | 0.329541 | + | 0.246691i | ||||
\(248\) | −1.94719 | − | 5.22062i | −0.123647 | − | 0.331509i | ||||
\(249\) | −0.167445 | + | 1.16460i | −0.0106114 | + | 0.0738038i | ||||
\(250\) | −9.60001 | + | 5.73060i | −0.607158 | + | 0.362435i | ||||
\(251\) | 1.57174 | − | 1.36192i | 0.0992073 | − | 0.0859636i | −0.603845 | − | 0.797102i | \(-0.706365\pi\) |
0.703052 | + | 0.711138i | \(0.251820\pi\) | |||||||
\(252\) | −2.68381 | + | 2.68381i | −0.169064 | + | 0.169064i | ||||
\(253\) | −2.53751 | − | 4.57347i | −0.159532 | − | 0.287532i | ||||
\(254\) | − | 6.41339i | − | 0.402412i | ||||||
\(255\) | −17.0228 | + | 5.23572i | −1.06601 | + | 0.327873i | ||||
\(256\) | 0.841254 | + | 0.540641i | 0.0525783 | + | 0.0337901i | ||||
\(257\) | 6.24922 | − | 4.67810i | 0.389815 | − | 0.291812i | −0.386337 | − | 0.922358i | \(-0.626260\pi\) |
0.776152 | + | 0.630546i | \(0.217169\pi\) | |||||||
\(258\) | −6.86885 | + | 2.56195i | −0.427636 | + | 0.159500i | ||||
\(259\) | −15.6902 | + | 2.25591i | −0.974940 | + | 0.140175i | ||||
\(260\) | −0.397176 | − | 4.70655i | −0.0246318 | − | 0.291888i | ||||
\(261\) | −2.58140 | + | 1.65896i | −0.159785 | + | 0.102687i | ||||
\(262\) | 6.97845 | − | 18.7099i | 0.431130 | − | 1.15590i | ||||
\(263\) | 17.3249 | + | 9.46011i | 1.06830 | + | 0.583335i | 0.914425 | − | 0.404755i | \(-0.132643\pi\) |
0.153874 | + | 0.988091i | \(0.450825\pi\) | |||||||
\(264\) | −0.714181 | + | 0.824208i | −0.0439548 | + | 0.0507265i | ||||
\(265\) | 20.5307 | + | 7.35988i | 1.26119 | + | 0.452114i | ||||
\(266\) | −11.1538 | + | 3.27506i | −0.683885 | + | 0.200807i | ||||
\(267\) | −1.74800 | − | 0.651971i | −0.106976 | − | 0.0399000i | ||||
\(268\) | 0.123060 | + | 0.0267701i | 0.00751710 | + | 0.00163524i | ||||
\(269\) | 5.03648 | − | 17.1527i | 0.307080 | − | 1.04582i | −0.650943 | − | 0.759126i | \(-0.725626\pi\) |
0.958023 | − | 0.286691i | \(-0.0925554\pi\) | |||||||
\(270\) | −2.15337 | − | 0.602485i | −0.131050 | − | 0.0366660i | ||||
\(271\) | −12.1619 | + | 26.6308i | −0.738783 | + | 1.61771i | 0.0467636 | + | 0.998906i | \(0.485109\pi\) |
−0.785546 | + | 0.618803i | \(0.787618\pi\) | |||||||
\(272\) | 4.77311 | + | 6.37613i | 0.289413 | + | 0.386610i | ||||
\(273\) | −1.70419 | − | 7.83402i | −0.103142 | − | 0.474137i | ||||
\(274\) | −6.42685 | − | 7.41698i | −0.388260 | − | 0.448076i | ||||
\(275\) | −4.02837 | + | 3.67513i | −0.242920 | + | 0.221619i | ||||
\(276\) | −4.61058 | − | 1.32006i | −0.277524 | − | 0.0794585i | ||||
\(277\) | −1.08385 | − | 1.08385i | −0.0651220 | − | 0.0651220i | 0.673796 | − | 0.738918i | \(-0.264663\pi\) |
−0.738918 | + | 0.673796i | \(0.764663\pi\) | |||||||
\(278\) | 6.26878 | + | 0.448352i | 0.375976 | + | 0.0268904i | ||||
\(279\) | 3.01241 | − | 4.68740i | 0.180348 | − | 0.280628i | ||||
\(280\) | 7.19777 | + | 4.49671i | 0.430149 | + | 0.268730i | ||||
\(281\) | 2.00639 | + | 0.916286i | 0.119691 | + | 0.0546611i | 0.474360 | − | 0.880331i | \(-0.342679\pi\) |
−0.354669 | + | 0.934992i | \(0.615407\pi\) | |||||||
\(282\) | −2.21149 | + | 2.95421i | −0.131692 | + | 0.175920i | ||||
\(283\) | −0.944545 | − | 1.72980i | −0.0561474 | − | 0.102826i | 0.848098 | − | 0.529839i | \(-0.177748\pi\) |
−0.904246 | + | 0.427013i | \(0.859566\pi\) | |||||||
\(284\) | −3.34236 | − | 5.20082i | −0.198333 | − | 0.308612i | ||||
\(285\) | −4.90421 | − | 4.78035i | −0.290501 | − | 0.283164i | ||||
\(286\) | −0.649015 | − | 2.21034i | −0.0383770 | − | 0.130700i | ||||
\(287\) | 2.14068 | + | 29.9306i | 0.126360 | + | 1.76675i | ||||
\(288\) | 0.0713392 | + | 0.997452i | 0.00420370 | + | 0.0587754i | ||||
\(289\) | 13.0830 | + | 44.5567i | 0.769589 | + | 2.62098i | ||||
\(290\) | 4.91340 | + | 4.78931i | 0.288525 | + | 0.281238i | ||||
\(291\) | −4.00251 | − | 6.22803i | −0.234631 | − | 0.365094i | ||||
\(292\) | 1.98269 | + | 3.63103i | 0.116028 | + | 0.212490i | ||||
\(293\) | −2.55802 | + | 3.41712i | −0.149441 | + | 0.199630i | −0.869015 | − | 0.494786i | \(-0.835246\pi\) |
0.719574 | + | 0.694416i | \(0.244337\pi\) | |||||||
\(294\) | 6.73642 | + | 3.07642i | 0.392876 | + | 0.179420i | ||||
\(295\) | 15.7102 | + | 9.81475i | 0.914684 | + | 0.571437i | ||||
\(296\) | −2.25794 | + | 3.51343i | −0.131240 | + | 0.204214i | ||||
\(297\) | −1.08781 | − | 0.0778014i | −0.0631209 | − | 0.00451449i | ||||
\(298\) | 11.3302 | + | 11.3302i | 0.656340 | + | 0.656340i | ||||
\(299\) | 7.61104 | − | 6.68544i | 0.440158 | − | 0.386629i | ||||
\(300\) | −0.229033 | + | 4.99475i | −0.0132232 | + | 0.288372i | ||||
\(301\) | 18.2215 | + | 21.0287i | 1.05027 | + | 1.21207i | ||||
\(302\) | −2.65911 | − | 12.2237i | −0.153014 | − | 0.703396i | ||||
\(303\) | 5.76154 | + | 7.69651i | 0.330992 | + | 0.442153i | ||||
\(304\) | −1.27232 | + | 2.78600i | −0.0729728 | + | 0.159788i | ||||
\(305\) | −11.5475 | − | 3.23083i | −0.661207 | − | 0.184997i | ||||
\(306\) | −2.24394 | + | 7.64215i | −0.128277 | + | 0.436873i | ||||
\(307\) | 20.4515 | + | 4.44894i | 1.16723 | + | 0.253915i | 0.754100 | − | 0.656759i | \(-0.228073\pi\) |
0.413126 | + | 0.910674i | \(0.364437\pi\) | |||||||
\(308\) | 3.87830 | + | 1.44653i | 0.220987 | + | 0.0824238i | ||||
\(309\) | −15.5544 | + | 4.56718i | −0.884859 | + | 0.259818i | ||||
\(310\) | −11.7284 | − | 4.20441i | −0.666127 | − | 0.238794i | ||||
\(311\) | 4.09723 | − | 4.72846i | 0.232333 | − | 0.268126i | −0.627597 | − | 0.778538i | \(-0.715962\pi\) |
0.859930 | + | 0.510412i | \(0.170507\pi\) | |||||||
\(312\) | −1.85393 | − | 1.01232i | −0.104958 | − | 0.0573116i | ||||
\(313\) | −9.40056 | + | 25.2039i | −0.531351 | + | 1.42461i | 0.343010 | + | 0.939332i | \(0.388553\pi\) |
−0.874361 | + | 0.485275i | \(0.838719\pi\) | |||||||
\(314\) | −5.97207 | + | 3.83802i | −0.337023 | + | 0.216592i | ||||
\(315\) | 0.713659 | + | 8.45689i | 0.0402101 | + | 0.476492i | ||||
\(316\) | −14.6497 | + | 2.10630i | −0.824107 | + | 0.118489i | ||||
\(317\) | −2.34524 | + | 0.874729i | −0.131722 | + | 0.0491297i | −0.414461 | − | 0.910067i | \(-0.636030\pi\) |
0.282739 | + | 0.959197i | \(0.408757\pi\) | |||||||
\(318\) | 7.80828 | − | 5.84520i | 0.437867 | − | 0.327783i | ||||
\(319\) | 2.81523 | + | 1.80924i | 0.157623 | + | 0.101298i | ||||
\(320\) | 2.13726 | − | 0.657359i | 0.119476 | − | 0.0367475i | ||||
\(321\) | 0.601000i | 0.0335445i | ||||||||
\(322\) | 1.42102 | + | 18.1469i | 0.0791904 | + | 1.01129i | ||||
\(323\) | −17.2494 | + | 17.2494i | −0.959784 | + | 0.959784i | ||||
\(324\) | −0.755750 | + | 0.654861i | −0.0419861 | + | 0.0363812i | ||||
\(325\) | −8.61407 | − | 6.11101i | −0.477823 | − | 0.338978i | ||||
\(326\) | 2.39690 | − | 16.6708i | 0.132752 | − | 0.923309i | ||||
\(327\) | −2.91227 | − | 7.80811i | −0.161049 | − | 0.431789i | ||||
\(328\) | 6.32908 | + | 4.73789i | 0.349465 | + | 0.261606i | ||||
\(329\) | 13.4390 | + | 3.94603i | 0.740914 | + | 0.217552i | ||||
\(330\) | 0.377892 | + | 2.40916i | 0.0208022 | + | 0.132620i | ||||
\(331\) | 9.44956 | + | 20.6916i | 0.519395 | + | 1.13732i | 0.969668 | + | 0.244425i | \(0.0785993\pi\) |
−0.450273 | + | 0.892891i | \(0.648673\pi\) | |||||||
\(332\) | 0.563875 | − | 1.03266i | 0.0309467 | − | 0.0566746i | ||||
\(333\) | −4.16578 | + | 0.297943i | −0.228283 | + | 0.0163272i | ||||
\(334\) | −18.9090 | − | 16.3847i | −1.03465 | − | 0.896531i | ||||
\(335\) | 0.223261 | − | 0.171630i | 0.0121981 | − | 0.00937713i | ||||
\(336\) | 3.45249 | − | 1.57670i | 0.188349 | − | 0.0860160i | ||||
\(337\) | −5.06805 | + | 23.2975i | −0.276074 | + | 1.26909i | 0.605042 | + | 0.796194i | \(0.293156\pi\) |
−0.881116 | + | 0.472900i | \(0.843207\pi\) | |||||||
\(338\) | −7.49374 | + | 4.09189i | −0.407606 | + | 0.222570i | ||||
\(339\) | −2.56853 | − | 17.8645i | −0.139503 | − | 0.970266i | ||||
\(340\) | 17.7792 | + | 1.04326i | 0.964213 | + | 0.0565785i | ||||
\(341\) | −6.01480 | − | 0.864798i | −0.325720 | − | 0.0468314i | ||||
\(342\) | −2.99279 | + | 0.651041i | −0.161831 | + | 0.0352042i | ||||
\(343\) | 0.109838 | − | 1.53573i | 0.00593067 | − | 0.0829216i | ||||
\(344\) | 7.33108 | 0.395265 | ||||||||
\(345\) | −8.90646 | + | 5.97285i | −0.479508 | + | 0.321567i | ||||
\(346\) | 14.9070 | 0.801403 | ||||||||
\(347\) | 0.775945 | − | 10.8491i | 0.0416549 | − | 0.582412i | −0.933169 | − | 0.359437i | \(-0.882969\pi\) |
0.974824 | − | 0.222975i | \(-0.0715767\pi\) | |||||||
\(348\) | 2.99839 | − | 0.652260i | 0.160731 | − | 0.0349648i | ||||
\(349\) | −6.80667 | − | 0.978651i | −0.364353 | − | 0.0523860i | −0.0422926 | − | 0.999105i | \(-0.513466\pi\) |
−0.322060 | + | 0.946719i | \(0.604375\pi\) | |||||||
\(350\) | 18.0660 | − | 5.81047i | 0.965667 | − | 0.310583i | ||||
\(351\) | −0.300614 | − | 2.09081i | −0.0160456 | − | 0.111599i | ||||
\(352\) | 0.957183 | − | 0.522661i | 0.0510180 | − | 0.0278579i | ||||
\(353\) | −2.04939 | + | 9.42090i | −0.109078 | + | 0.501424i | 0.889897 | + | 0.456162i | \(0.150776\pi\) |
−0.998975 | + | 0.0452625i | \(0.985588\pi\) | |||||||
\(354\) | 7.53557 | − | 3.44138i | 0.400511 | − | 0.182907i | ||||
\(355\) | −13.7072 | − | 1.79220i | −0.727503 | − | 0.0951200i | ||||
\(356\) | 1.40995 | + | 1.22173i | 0.0747272 | + | 0.0647515i | ||||
\(357\) | 30.1531 | − | 2.15659i | 1.59587 | − | 0.114139i | ||||
\(358\) | 11.0471 | − | 20.2313i | 0.583859 | − | 1.06926i | ||||
\(359\) | −6.38997 | − | 13.9921i | −0.337250 | − | 0.738474i | 0.662696 | − | 0.748889i | \(-0.269412\pi\) |
−0.999946 | + | 0.0104144i | \(0.996685\pi\) | |||||||
\(360\) | 1.80705 | + | 1.31702i | 0.0952402 | + | 0.0694133i | ||||
\(361\) | 9.22973 | + | 2.71009i | 0.485775 | + | 0.142636i | ||||
\(362\) | −1.95090 | − | 1.46043i | −0.102537 | − | 0.0767584i | ||||
\(363\) | −3.42846 | − | 9.19206i | −0.179948 | − | 0.482458i | ||||
\(364\) | −1.14097 | + | 7.93564i | −0.0598032 | + | 0.415940i | ||||
\(365\) | 9.06379 | + | 1.85064i | 0.474420 | + | 0.0968668i | ||||
\(366\) | −4.05272 | + | 3.51170i | −0.211839 | + | 0.183560i | ||||
\(367\) | 9.77773 | − | 9.77773i | 0.510394 | − | 0.510394i | −0.404253 | − | 0.914647i | \(-0.632469\pi\) |
0.914647 | + | 0.404253i | \(0.132469\pi\) | |||||||
\(368\) | 3.85856 | + | 2.84807i | 0.201142 | + | 0.148466i | ||||
\(369\) | 7.90600i | 0.411570i | ||||||||
\(370\) | 2.74541 | + | 8.92610i | 0.142727 | + | 0.464046i | ||||
\(371\) | −31.1433 | − | 20.0146i | −1.61688 | − | 1.03911i | ||||
\(372\) | −4.46056 | + | 3.33913i | −0.231269 | + | 0.173126i | ||||
\(373\) | −5.94914 | + | 2.21892i | −0.308035 | + | 0.114891i | −0.498728 | − | 0.866759i | \(-0.666199\pi\) |
0.190693 | + | 0.981650i | \(0.438927\pi\) | |||||||
\(374\) | 8.59785 | − | 1.23618i | 0.444584 | − | 0.0639215i | ||||
\(375\) | 8.20311 | + | 7.59664i | 0.423607 | + | 0.392289i | ||||
\(376\) | 3.10445 | − | 1.99511i | 0.160100 | − | 0.102890i | ||||
\(377\) | −2.26511 | + | 6.07300i | −0.116659 | + | 0.312775i | ||||
\(378\) | 3.33121 | + | 1.81898i | 0.171339 | + | 0.0935582i | ||||
\(379\) | 1.35947 | − | 1.56891i | 0.0698313 | − | 0.0805896i | −0.719759 | − | 0.694224i | \(-0.755748\pi\) |
0.789590 | + | 0.613634i | \(0.210293\pi\) | |||||||
\(380\) | 2.92444 | + | 6.19280i | 0.150021 | + | 0.317684i | ||||
\(381\) | −6.15360 | + | 1.80686i | −0.315259 | + | 0.0925683i | ||||
\(382\) | 5.82967 | + | 2.17435i | 0.298272 | + | 0.111250i | ||||
\(383\) | −0.860916 | − | 0.187281i | −0.0439908 | − | 0.00956961i | 0.190516 | − | 0.981684i | \(-0.438984\pi\) |
−0.234507 | + | 0.972114i | \(0.575348\pi\) | |||||||
\(384\) | 0.281733 | − | 0.959493i | 0.0143771 | − | 0.0489639i | ||||
\(385\) | 8.06617 | − | 4.53932i | 0.411090 | − | 0.231345i | ||||
\(386\) | 4.94039 | − | 10.8179i | 0.251459 | − | 0.550619i | ||||
\(387\) | 4.39335 | + | 5.86883i | 0.223327 | + | 0.298329i | ||||
\(388\) | 1.57368 | + | 7.23409i | 0.0798914 | + | 0.367255i | ||||
\(389\) | 20.4642 | + | 23.6169i | 1.03757 | + | 1.19742i | 0.979982 | + | 0.199085i | \(0.0637969\pi\) |
0.0575923 | + | 0.998340i | \(0.481658\pi\) | |||||||
\(390\) | −4.40400 | + | 1.70707i | −0.223005 | + | 0.0864411i | ||||
\(391\) | 20.8676 | + | 31.9939i | 1.05532 | + | 1.61800i | ||||
\(392\) | −5.23659 | − | 5.23659i | −0.264488 | − | 0.264488i | ||||
\(393\) | −19.9181 | − | 1.42457i | −1.00474 | − | 0.0718601i | ||||
\(394\) | −5.71998 | + | 8.90046i | −0.288168 | + | 0.448399i | ||||
\(395\) | −17.5347 | + | 28.0674i | −0.882268 | + | 1.41222i | ||||
\(396\) | 0.992030 | + | 0.453045i | 0.0498514 | + | 0.0227664i | ||||
\(397\) | 1.58746 | − | 2.12060i | 0.0796724 | − | 0.106430i | −0.758934 | − | 0.651167i | \(-0.774280\pi\) |
0.838607 | + | 0.544737i | \(0.183371\pi\) | |||||||
\(398\) | 10.1703 | + | 18.6254i | 0.509789 | + | 0.933608i | ||||
\(399\) | 6.28479 | + | 9.77933i | 0.314633 | + | 0.489579i | ||||
\(400\) | 1.96008 | − | 4.59979i | 0.0980040 | − | 0.229990i | ||||
\(401\) | −9.24389 | − | 31.4818i | −0.461618 | − | 1.57213i | −0.781020 | − | 0.624506i | \(-0.785300\pi\) |
0.319402 | − | 0.947619i | \(-0.396518\pi\) | |||||||
\(402\) | −0.00898434 | − | 0.125617i | −0.000448098 | − | 0.00626523i | ||||
\(403\) | −0.839638 | − | 11.7397i | −0.0418253 | − | 0.584795i | ||||
\(404\) | −2.70861 | − | 9.22469i | −0.134759 | − | 0.458946i | ||||
\(405\) | 0.0285953 | + | 2.23589i | 0.00142091 | + | 0.111102i | ||||
\(406\) | −6.29656 | − | 9.79764i | −0.312493 | − | 0.486249i | ||||
\(407\) | 2.18285 | + | 3.99760i | 0.108200 | + | 0.198154i | ||||
\(408\) | 4.77311 | − | 6.37613i | 0.236304 | − | 0.315666i | ||||
\(409\) | −19.8746 | − | 9.07644i | −0.982738 | − | 0.448801i | −0.141778 | − | 0.989899i | \(-0.545282\pi\) |
−0.840960 | + | 0.541097i | \(0.818009\pi\) | |||||||
\(410\) | 17.2249 | − | 3.97841i | 0.850677 | − | 0.196480i | ||||
\(411\) | −5.30588 | + | 8.25612i | −0.261720 | + | 0.407244i | ||||
\(412\) | 16.1698 | + | 1.15648i | 0.796627 | + | 0.0569759i | ||||
\(413\) | −22.2332 | − | 22.2332i | −1.09402 | − | 1.09402i | ||||
\(414\) | 0.0323578 | + | 4.79572i | 0.00159030 | + | 0.235697i | ||||
\(415\) | −0.950858 | − | 2.45307i | −0.0466758 | − | 0.120417i | ||||
\(416\) | 1.38327 | + | 1.59638i | 0.0678204 | + | 0.0782690i | ||||
\(417\) | −1.33593 | − | 6.14117i | −0.0654207 | − | 0.300734i | ||||
\(418\) | 2.00172 | + | 2.67398i | 0.0979072 | + | 0.130789i | ||||
\(419\) | −15.6924 | + | 34.3616i | −0.766625 | + | 1.67867i | −0.0326800 | + | 0.999466i | \(0.510404\pi\) |
−0.733945 | + | 0.679209i | \(0.762323\pi\) | |||||||
\(420\) | 2.28672 | − | 8.17308i | 0.111580 | − | 0.398805i | ||||
\(421\) | 6.28059 | − | 21.3897i | 0.306097 | − | 1.04247i | −0.652520 | − | 0.757772i | \(-0.726288\pi\) |
0.958617 | − | 0.284699i | \(-0.0918937\pi\) | |||||||
\(422\) | 2.14809 | + | 0.467289i | 0.104568 | + | 0.0227473i | ||||
\(423\) | 3.45759 | + | 1.28961i | 0.168114 | + | 0.0627032i | ||||
\(424\) | −9.35865 | + | 2.74795i | −0.454496 | + | 0.133452i | ||||
\(425\) | 27.4304 | − | 28.8707i | 1.33057 | − | 1.40043i | ||||
\(426\) | −4.04850 | + | 4.67221i | −0.196150 | + | 0.226369i | ||||
\(427\) | 17.8637 | + | 9.75430i | 0.864484 | + | 0.472044i | ||||
\(428\) | 0.210028 | − | 0.563107i | 0.0101521 | − | 0.0272188i | ||||
\(429\) | −1.93796 | + | 1.24545i | −0.0935655 | + | 0.0601309i | ||||
\(430\) | 10.5757 | − | 12.5251i | 0.510005 | − | 0.604015i | ||||
\(431\) | −36.8541 | + | 5.29881i | −1.77520 | + | 0.255235i | −0.950585 | − | 0.310463i | \(-0.899516\pi\) |
−0.824612 | + | 0.565698i | \(0.808607\pi\) | |||||||
\(432\) | 0.936950 | − | 0.349464i | 0.0450790 | − | 0.0168136i | ||||
\(433\) | 28.3901 | − | 21.2526i | 1.36434 | − | 1.02133i | 0.368559 | − | 0.929605i | \(-0.379851\pi\) |
0.995784 | − | 0.0917295i | \(-0.0292395\pi\) | |||||||
\(434\) | 17.7909 | + | 11.4335i | 0.853992 | + | 0.548828i | ||||
\(435\) | 3.21104 | − | 6.06367i | 0.153958 | − | 0.290731i | ||||
\(436\) | 8.33354i | 0.399104i | ||||||||
\(437\) | −6.95234 | + | 12.9391i | −0.332576 | + | 0.618959i | ||||
\(438\) | 2.92536 | − | 2.92536i | 0.139779 | − | 0.139779i | ||||
\(439\) | 7.09371 | − | 6.14673i | 0.338564 | − | 0.293367i | −0.468939 | − | 0.883230i | \(-0.655364\pi\) |
0.807503 | + | 0.589863i | \(0.200818\pi\) | |||||||
\(440\) | 0.487851 | − | 2.38932i | 0.0232574 | − | 0.113907i | ||||
\(441\) | 1.05393 | − | 7.33028i | 0.0501874 | − | 0.349061i | ||||
\(442\) | 5.87942 | + | 15.7633i | 0.279656 | + | 0.749786i | ||||
\(443\) | −24.1095 | − | 18.0481i | −1.14548 | − | 0.857492i | −0.154037 | − | 0.988065i | \(-0.549227\pi\) |
−0.991439 | + | 0.130573i | \(0.958318\pi\) | |||||||
\(444\) | 4.00725 | + | 1.17663i | 0.190176 | + | 0.0558406i | ||||
\(445\) | 4.12129 | − | 0.646448i | 0.195368 | − | 0.0306446i | ||||
\(446\) | 3.48083 | + | 7.62195i | 0.164822 | + | 0.360910i | ||||
\(447\) | 7.67915 | − | 14.0633i | 0.363211 | − | 0.665172i | ||||
\(448\) | −3.78581 | + | 0.270766i | −0.178863 | + | 0.0127925i | ||||
\(449\) | −10.4448 | − | 9.05050i | −0.492922 | − | 0.427119i | 0.372599 | − | 0.927993i | \(-0.378467\pi\) |
−0.865521 | + | 0.500873i | \(0.833012\pi\) | |||||||
\(450\) | 4.85696 | − | 1.18743i | 0.228959 | − | 0.0559759i | ||||
\(451\) | 7.84299 | − | 3.58177i | 0.369312 | − | 0.168659i | ||||
\(452\) | −3.83642 | + | 17.6357i | −0.180450 | + | 0.829516i | ||||
\(453\) | −10.9794 | + | 5.99522i | −0.515858 | + | 0.281680i | ||||
\(454\) | −1.12271 | − | 7.80863i | −0.0526914 | − | 0.366477i | ||||
\(455\) | 11.9120 | + | 13.3972i | 0.558445 | + | 0.628068i | ||||
\(456\) | 3.03161 | + | 0.435879i | 0.141968 | + | 0.0204119i | ||||
\(457\) | −30.0362 | + | 6.53397i | −1.40503 | + | 0.305646i | −0.850263 | − | 0.526358i | \(-0.823557\pi\) |
−0.554769 | + | 0.832004i | \(0.687193\pi\) | |||||||
\(458\) | 0.304753 | − | 4.26101i | 0.0142402 | − | 0.199104i | ||||
\(459\) | 7.96478 | 0.371764 | ||||||||
\(460\) | 10.4322 | − | 2.48377i | 0.486404 | − | 0.115806i | ||||
\(461\) | 29.9499 | 1.39491 | 0.697453 | − | 0.716630i | \(-0.254316\pi\) | ||||
0.697453 | + | 0.716630i | \(0.254316\pi\) | |||||||
\(462\) | 0.295293 | − | 4.12874i | 0.0137383 | − | 0.192086i | ||||
\(463\) | −14.6409 | + | 3.18494i | −0.680423 | + | 0.148017i | −0.539477 | − | 0.842000i | \(-0.681378\pi\) |
−0.140946 | + | 0.990017i | \(0.545014\pi\) | |||||||
\(464\) | −3.03728 | − | 0.436695i | −0.141002 | − | 0.0202731i | ||||
\(465\) | −0.729832 | + | 12.4378i | −0.0338451 | + | 0.576790i | ||||
\(466\) | −3.94343 | − | 27.4272i | −0.182676 | − | 1.27054i | ||||
\(467\) | −23.0625 | + | 12.5931i | −1.06721 | + | 0.582739i | −0.914107 | − | 0.405472i | \(-0.867107\pi\) |
−0.153099 | + | 0.988211i | \(0.548925\pi\) | |||||||
\(468\) | −0.449005 | + | 2.06404i | −0.0207552 | + | 0.0954103i | ||||
\(469\) | −0.434801 | + | 0.198567i | −0.0200772 | + | 0.00916896i | ||||
\(470\) | 1.06979 | − | 8.18204i | 0.0493457 | − | 0.377409i | ||||
\(471\) | 5.36508 | + | 4.64887i | 0.247210 | + | 0.214208i | ||||
\(472\) | −8.26309 | + | 0.590988i | −0.380340 | + | 0.0272024i | ||||
\(473\) | 3.83167 | − | 7.01718i | 0.176180 | − | 0.322650i | ||||
\(474\) | 6.14827 | + | 13.4628i | 0.282399 | + | 0.618368i | ||||
\(475\) | 14.7991 | + | 3.93723i | 0.679030 | + | 0.180653i | ||||
\(476\) | −29.0056 | − | 8.51682i | −1.32947 | − | 0.390368i | ||||
\(477\) | −7.80828 | − | 5.84520i | −0.357517 | − | 0.267634i | ||||
\(478\) | −6.05530 | − | 16.2349i | −0.276963 | − | 0.742566i | ||||
\(479\) | 3.67809 | − | 25.5817i | 0.168056 | − | 1.16886i | −0.714840 | − | 0.699288i | \(-0.753501\pi\) |
0.882896 | − | 0.469568i | \(-0.155590\pi\) | |||||||
\(480\) | −1.23287 | − | 1.86549i | −0.0562724 | − | 0.0851474i | ||||
\(481\) | −6.66716 | + | 5.77712i | −0.303996 | + | 0.263414i | ||||
\(482\) | −13.8590 | + | 13.8590i | −0.631258 | + | 0.631258i | ||||
\(483\) | 17.0115 | − | 6.47604i | 0.774050 | − | 0.294670i | ||||
\(484\) | 9.81063i | 0.445938i | ||||||||
\(485\) | 14.6296 | + | 7.74714i | 0.664294 | + | 0.351780i | ||||
\(486\) | 0.841254 | + | 0.540641i | 0.0381600 | + | 0.0245240i | ||||
\(487\) | −15.3401 | + | 11.4835i | −0.695128 | + | 0.520366i | −0.887414 | − | 0.460973i | \(-0.847501\pi\) |
0.192286 | + | 0.981339i | \(0.438410\pi\) | |||||||
\(488\) | 5.02441 | − | 1.87401i | 0.227444 | − | 0.0848323i | ||||
\(489\) | −16.6708 | + | 2.39690i | −0.753878 | + | 0.108391i | ||||
\(490\) | −16.5009 | + | 1.39248i | −0.745435 | + | 0.0629056i | ||||
\(491\) | −14.4234 | + | 9.26936i | −0.650919 | + | 0.418321i | −0.824002 | − | 0.566587i | \(-0.808264\pi\) |
0.173083 | + | 0.984907i | \(0.444627\pi\) | |||||||
\(492\) | 2.76287 | − | 7.40753i | 0.124560 | − | 0.333957i | ||||
\(493\) | −21.4505 | − | 11.7129i | −0.966083 | − | 0.527521i | ||||
\(494\) | −4.23665 | + | 4.88936i | −0.190616 | + | 0.219983i | ||||
\(495\) | 2.20511 | − | 1.04132i | 0.0991123 | − | 0.0468040i | ||||
\(496\) | 5.34623 | − | 1.56979i | 0.240053 | − | 0.0704858i | ||||
\(497\) | 21.9851 | + | 8.20000i | 0.986164 | + | 0.367820i | ||||
\(498\) | −1.14969 | − | 0.250100i | −0.0515189 | − | 0.0112073i | ||||
\(499\) | 0.625577 | − | 2.13052i | 0.0280047 | − | 0.0953752i | −0.944305 | − | 0.329072i | \(-0.893264\pi\) |
0.972310 | + | 0.233697i | \(0.0750823\pi\) | |||||||
\(500\) | −5.03115 | − | 9.98437i | −0.225000 | − | 0.446514i | ||||
\(501\) | −10.3937 | + | 22.7591i | −0.464358 | + | 1.01680i | ||||
\(502\) | 1.24632 | + | 1.66489i | 0.0556261 | + | 0.0743078i | ||||
\(503\) | 3.96725 | + | 18.2372i | 0.176891 | + | 0.813155i | 0.976990 | + | 0.213286i | \(0.0684167\pi\) |
−0.800099 | + | 0.599868i | \(0.795220\pi\) | |||||||
\(504\) | −2.48551 | − | 2.86843i | −0.110713 | − | 0.127770i | ||||
\(505\) | −19.6677 | − | 8.67973i | −0.875203 | − | 0.386243i | ||||
\(506\) | 4.74284 | − | 2.20478i | 0.210845 | − | 0.0980143i | ||||
\(507\) | 6.03737 | + | 6.03737i | 0.268129 | + | 0.268129i | ||||
\(508\) | 6.39705 | + | 0.457526i | 0.283823 | + | 0.0202994i | ||||
\(509\) | 0.766973 | − | 1.19343i | 0.0339955 | − | 0.0528980i | −0.823840 | − | 0.566823i | \(-0.808173\pi\) |
0.857835 | + | 0.513925i | \(0.171809\pi\) | |||||||
\(510\) | −4.00798 | − | 17.3529i | −0.177477 | − | 0.768401i | ||||
\(511\) | −14.2832 | − | 6.52293i | −0.631852 | − | 0.288557i | ||||
\(512\) | −0.599278 | + | 0.800541i | −0.0264846 | + | 0.0353793i | ||||
\(513\) | 1.46783 | + | 2.68814i | 0.0648065 | + | 0.118684i | ||||
\(514\) | 4.22037 | + | 6.56703i | 0.186153 | + | 0.289659i | ||||
\(515\) | 25.3021 | − | 25.9576i | 1.11494 | − | 1.14383i | ||||
\(516\) | −2.06540 | − | 7.03412i | −0.0909243 | − | 0.309660i | ||||
\(517\) | −0.287107 | − | 4.01429i | −0.0126270 | − | 0.176548i | ||||
\(518\) | −1.13083 | − | 15.8111i | −0.0496860 | − | 0.694701i | ||||
\(519\) | −4.19978 | − | 14.3031i | −0.184350 | − | 0.627837i | ||||
\(520\) | 4.72289 | − | 0.0604023i | 0.207112 | − | 0.00264882i | ||||
\(521\) | −4.24600 | − | 6.60690i | −0.186021 | − | 0.289454i | 0.735701 | − | 0.677307i | \(-0.236853\pi\) |
−0.921721 | + | 0.387853i | \(0.873217\pi\) | |||||||
\(522\) | −1.47058 | − | 2.69317i | −0.0643657 | − | 0.117877i | ||||
\(523\) | 14.5813 | − | 19.4783i | 0.637595 | − | 0.851728i | −0.359071 | − | 0.933310i | \(-0.616907\pi\) |
0.996667 | + | 0.0815825i | \(0.0259974\pi\) | |||||||
\(524\) | 18.1644 | + | 8.29542i | 0.793517 | + | 0.362387i | ||||
\(525\) | −10.6649 | − | 15.6972i | −0.465454 | − | 0.685081i | ||||
\(526\) | −10.6719 | + | 16.6059i | −0.465319 | + | 0.724051i | ||||
\(527\) | 44.2661 | + | 3.16597i | 1.92826 | + | 0.137912i | ||||
\(528\) | −0.771159 | − | 0.771159i | −0.0335604 | − | 0.0335604i | ||||
\(529\) | 17.5839 | + | 14.8259i | 0.764517 | + | 0.644603i | ||||
\(530\) | −8.80577 | + | 19.9534i | −0.382498 | + | 0.866719i | ||||
\(531\) | −5.42500 | − | 6.26078i | −0.235425 | − | 0.271695i | ||||
\(532\) | −2.47101 | − | 11.3591i | −0.107132 | − | 0.492477i | ||||
\(533\) | 10.0079 | + | 13.3690i | 0.433491 | + | 0.579076i | ||||
\(534\) | 0.775011 | − | 1.69704i | 0.0335380 | − | 0.0734380i | ||||
\(535\) | −0.659082 | − | 1.17116i | −0.0284946 | − | 0.0506336i | ||||
\(536\) | −0.0354809 | + | 0.120837i | −0.00153254 | + | 0.00521936i | ||||
\(537\) | −22.5241 | − | 4.89983i | −0.971988 | − | 0.211443i | ||||
\(538\) | 16.7497 | + | 6.24731i | 0.722130 | + | 0.269341i | ||||
\(539\) | −7.74933 | + | 2.27541i | −0.333787 | + | 0.0980088i | ||||
\(540\) | 0.754569 | − | 2.10490i | 0.0324715 | − | 0.0905807i | ||||
\(541\) | −3.13026 | + | 3.61251i | −0.134580 | + | 0.155314i | −0.819039 | − | 0.573737i | \(-0.805493\pi\) |
0.684459 | + | 0.729051i | \(0.260039\pi\) | |||||||
\(542\) | −25.6954 | − | 14.0307i | −1.10371 | − | 0.602672i | ||||
\(543\) | −0.851638 | + | 2.28333i | −0.0365473 | + | 0.0979870i | ||||
\(544\) | −6.70040 | + | 4.30609i | −0.287277 | + | 0.184622i | ||||
\(545\) | 14.2378 | + | 12.0218i | 0.609881 | + | 0.514958i | ||||
\(546\) | 7.93564 | − | 1.14097i | 0.339614 | − | 0.0488291i | ||||
\(547\) | −1.23645 | + | 0.461173i | −0.0528668 | + | 0.0197183i | −0.375759 | − | 0.926718i | \(-0.622618\pi\) |
0.322892 | + | 0.946436i | \(0.395345\pi\) | |||||||
\(548\) | 7.85656 | − | 5.88135i | 0.335616 | − | 0.251239i | ||||
\(549\) | 4.51123 | + | 2.89919i | 0.192535 | + | 0.123735i | ||||
\(550\) | −3.37838 | − | 4.28029i | −0.144055 | − | 0.182512i | ||||
\(551\) | − | 9.39819i | − | 0.400376i | ||||||
\(552\) | 1.64562 | − | 4.50466i | 0.0700420 | − | 0.191731i | ||||
\(553\) | 39.7212 | − | 39.7212i | 1.68912 | − | 1.68912i | ||||
\(554\) | 1.15841 | − | 1.00376i | 0.0492160 | − | 0.0426459i | ||||
\(555\) | 7.79106 | − | 5.14897i | 0.330712 | − | 0.218562i | ||||
\(556\) | −0.894419 | + | 6.22082i | −0.0379318 | + | 0.263822i | ||||
\(557\) | −14.2345 | − | 38.1643i | −0.603137 | − | 1.61707i | −0.775006 | − | 0.631954i | \(-0.782253\pi\) |
0.171869 | − | 0.985120i | \(-0.445019\pi\) | |||||||
\(558\) | 4.46056 | + | 3.33913i | 0.188830 | + | 0.141357i | ||||
\(559\) | 14.8583 | + | 4.36278i | 0.628438 | + | 0.184526i | ||||
\(560\) | −4.99874 | + | 6.85864i | −0.211235 | + | 0.289830i | ||||
\(561\) | −3.60840 | − | 7.90130i | −0.152347 | − | 0.333593i | ||||
\(562\) | −1.05709 | + | 1.93591i | −0.0445905 | + | 0.0816613i | ||||
\(563\) | −45.4407 | + | 3.24999i | −1.91510 | + | 0.136971i | −0.977526 | − | 0.210816i | \(-0.932388\pi\) |
−0.937574 | + | 0.347787i | \(0.886933\pi\) | |||||||
\(564\) | −2.78891 | − | 2.41661i | −0.117434 | − | 0.101758i | ||||
\(565\) | 24.5962 | + | 31.9955i | 1.03477 | + | 1.34606i | ||||
\(566\) | 1.79278 | − | 0.818735i | 0.0753562 | − | 0.0344140i | ||||
\(567\) | 0.806787 | − | 3.70874i | 0.0338819 | − | 0.155752i | ||||
\(568\) | 5.42601 | − | 2.96282i | 0.227670 | − | 0.124317i | ||||
\(569\) | 2.37460 | + | 16.5157i | 0.0995483 | + | 0.692374i | 0.977083 | + | 0.212860i | \(0.0682778\pi\) |
−0.877534 | + | 0.479514i | \(0.840813\pi\) | |||||||
\(570\) | 5.11804 | − | 4.55069i | 0.214371 | − | 0.190607i | ||||
\(571\) | 46.9340 | + | 6.74809i | 1.96413 | + | 0.282399i | 0.999847 | + | 0.0175182i | \(0.00557651\pi\) |
0.964281 | + | 0.264881i | \(0.0853326\pi\) | |||||||
\(572\) | 2.25101 | − | 0.489677i | 0.0941194 | − | 0.0204744i | ||||
\(573\) | 0.443870 | − | 6.20611i | 0.0185429 | − | 0.259264i | ||||
\(574\) | −30.0071 | −1.25247 | ||||||||
\(575\) | 10.8058 | − | 21.4064i | 0.450633 | − | 0.892709i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 3.22076 | − | 45.0321i | 0.134082 | − | 1.87471i | −0.273953 | − | 0.961743i | \(-0.588331\pi\) |
0.408035 | − | 0.912966i | \(-0.366214\pi\) | |||||||
\(578\) | −45.3765 | + | 9.87105i | −1.88741 | + | 0.410581i | ||||
\(579\) | −11.7716 | − | 1.69250i | −0.489212 | − | 0.0703380i | ||||
\(580\) | −5.12762 | + | 4.55921i | −0.212913 | + | 0.189311i | ||||
\(581\) | 0.635533 | + | 4.42023i | 0.0263664 | + | 0.183382i | ||||
\(582\) | 6.49770 | − | 3.54801i | 0.269338 | − | 0.147070i | ||||
\(583\) | −2.26112 | + | 10.3942i | −0.0936459 | + | 0.430483i | ||||
\(584\) | −3.76322 | + | 1.71860i | −0.155723 | + | 0.0711164i | ||||
\(585\) | 2.87868 | + | 3.74467i | 0.119019 | + | 0.154823i | ||||
\(586\) | −3.22592 | − | 2.79528i | −0.133262 | − | 0.115472i | ||||
\(587\) | 23.4650 | − | 1.67825i | 0.968505 | − | 0.0692689i | 0.421885 | − | 0.906649i | \(-0.361369\pi\) |
0.546620 | + | 0.837380i | \(0.315914\pi\) | |||||||
\(588\) | −3.54915 | + | 6.49979i | −0.146365 | + | 0.268047i | ||||
\(589\) | 7.08930 | + | 15.5234i | 0.292110 | + | 0.639631i | ||||
\(590\) | −10.9105 | + | 14.9700i | −0.449178 | + | 0.616305i | ||||
\(591\) | 10.1514 | + | 2.98073i | 0.417574 | + | 0.122611i | ||||
\(592\) | −3.34340 | − | 2.50284i | −0.137413 | − | 0.102866i | ||||
\(593\) | −2.01993 | − | 5.41564i | −0.0829486 | − | 0.222394i | 0.888854 | − | 0.458191i | \(-0.151503\pi\) |
−0.971802 | + | 0.235797i | \(0.924230\pi\) | |||||||
\(594\) | 0.155206 | − | 1.07948i | 0.00636819 | − | 0.0442917i | ||||
\(595\) | −56.3939 | + | 37.2697i | −2.31193 | + | 1.52791i | ||||
\(596\) | −12.1096 | + | 10.4930i | −0.496029 | + | 0.429811i | ||||
\(597\) | 15.0057 | − | 15.0057i | 0.614141 | − | 0.614141i | ||||
\(598\) | 6.12544 | + | 8.06858i | 0.250488 | + | 0.329949i | ||||
\(599\) | 4.93153i | 0.201497i | 0.994912 | + | 0.100748i | \(0.0321237\pi\) | ||||
−0.994912 | + | 0.100748i | \(0.967876\pi\) | |||||||
\(600\) | −4.96569 | − | 0.584771i | −0.202723 | − | 0.0238732i | ||||
\(601\) | −26.3091 | − | 16.9078i | −1.07317 | − | 0.689685i | −0.120200 | − | 0.992750i | \(-0.538354\pi\) |
−0.952970 | + | 0.303065i | \(0.901990\pi\) | |||||||
\(602\) | −22.2750 | + | 16.6749i | −0.907862 | + | 0.679617i | ||||
\(603\) | −0.117998 | + | 0.0440109i | −0.00480524 | + | 0.00179226i | ||||
\(604\) | 12.3823 | − | 1.78030i | 0.503828 | − | 0.0724395i | ||||
\(605\) | 16.7614 | + | 14.1526i | 0.681448 | + | 0.575387i | ||||
\(606\) | −8.08792 | + | 5.19779i | −0.328549 | + | 0.211146i | ||||
\(607\) | 13.2243 | − | 35.4558i | 0.536758 | − | 1.43910i | −0.331720 | − | 0.943378i | \(-0.607629\pi\) |
0.868479 | − | 0.495727i | \(-0.165098\pi\) | |||||||
\(608\) | −2.68814 | − | 1.46783i | −0.109018 | − | 0.0595285i | ||||
\(609\) | −7.62682 | + | 8.80182i | −0.309055 | + | 0.356668i | ||||
\(610\) | 4.04639 | − | 11.2876i | 0.163834 | − | 0.457021i | ||||
\(611\) | 7.47924 | − | 2.19610i | 0.302578 | − | 0.0888448i | ||||
\(612\) | −7.46260 | − | 2.78341i | −0.301658 | − | 0.112512i | ||||
\(613\) | 33.2540 | + | 7.23397i | 1.34312 | + | 0.292177i | 0.825967 | − | 0.563718i | \(-0.190630\pi\) |
0.517149 | + | 0.855895i | \(0.326993\pi\) | |||||||
\(614\) | −5.89660 | + | 20.0820i | −0.237967 | + | 0.810442i | ||||
\(615\) | −8.67007 | − | 15.4063i | −0.349611 | − | 0.621242i | ||||
\(616\) | −1.71952 | + | 3.76523i | −0.0692815 | + | 0.151705i | ||||
\(617\) | −19.7933 | − | 26.4408i | −0.796849 | − | 1.06447i | −0.996417 | − | 0.0845811i | \(-0.973045\pi\) |
0.199568 | − | 0.979884i | \(-0.436046\pi\) | |||||||
\(618\) | −3.44591 | − | 15.8406i | −0.138615 | − | 0.637202i | ||||
\(619\) | 9.56034 | + | 11.0332i | 0.384262 | + | 0.443462i | 0.914622 | − | 0.404310i | \(-0.132488\pi\) |
−0.530359 | + | 0.847773i | \(0.677943\pi\) | |||||||
\(620\) | 5.03039 | − | 11.3986i | 0.202025 | − | 0.457777i | ||||
\(621\) | 4.59235 | − | 1.38216i | 0.184284 | − | 0.0554641i | ||||
\(622\) | 4.42412 | + | 4.42412i | 0.177391 | + | 0.177391i | ||||
\(623\) | −7.06292 | − | 0.505150i | −0.282970 | − | 0.0202384i | ||||
\(624\) | 1.14200 | − | 1.77699i | 0.0457167 | − | 0.0711366i | ||||
\(625\) | −24.3161 | − | 5.80758i | −0.972643 | − | 0.232303i | ||||
\(626\) | −24.4690 | − | 11.1746i | −0.977979 | − | 0.446628i | ||||
\(627\) | 2.00172 | − | 2.67398i | 0.0799409 | − | 0.106789i | ||||
\(628\) | −3.40220 | − | 6.23066i | −0.135762 | − | 0.248630i | ||||
\(629\) | −17.9840 | − | 27.9837i | −0.717070 | − | 1.11578i | ||||
\(630\) | −8.48625 | + | 0.108533i | −0.338100 | + | 0.00432406i | ||||
\(631\) | −2.78203 | − | 9.47471i | −0.110751 | − | 0.377182i | 0.885401 | − | 0.464828i | \(-0.153884\pi\) |
−0.996152 | + | 0.0876457i | \(0.972066\pi\) | |||||||
\(632\) | −1.05584 | − | 14.7626i | −0.0419991 | − | 0.587224i | ||||
\(633\) | −0.156827 | − | 2.19273i | −0.00623332 | − | 0.0871533i | ||||
\(634\) | −0.705193 | − | 2.40167i | −0.0280068 | − | 0.0953824i | ||||
\(635\) | 10.0100 | − | 10.2693i | 0.397233 | − | 0.407525i | ||||
\(636\) | 5.27328 | + | 8.20538i | 0.209099 | + | 0.325364i | ||||
\(637\) | −7.49692 | − | 13.7296i | −0.297039 | − | 0.543986i | ||||
\(638\) | −2.00547 | + | 2.67899i | −0.0793972 | + | 0.106062i | ||||
\(639\) | 5.62355 | + | 2.56819i | 0.222464 | + | 0.101596i | ||||
\(640\) | 0.503213 | + | 2.17871i | 0.0198913 | + | 0.0861211i | ||||
\(641\) | −9.98047 | + | 15.5299i | −0.394205 | + | 0.613395i | −0.980457 | − | 0.196734i | \(-0.936967\pi\) |
0.586252 | + | 0.810129i | \(0.300603\pi\) | |||||||
\(642\) | −0.599468 | − | 0.0428748i | −0.0236591 | − | 0.00169213i | ||||
\(643\) | 19.2620 | + | 19.2620i | 0.759621 | + | 0.759621i | 0.976253 | − | 0.216632i | \(-0.0695073\pi\) |
−0.216632 | + | 0.976253i | \(0.569507\pi\) | |||||||
\(644\) | −18.2021 | + | 0.122813i | −0.717262 | + | 0.00483952i | ||||
\(645\) | −14.9973 | − | 6.61856i | −0.590517 | − | 0.260606i | ||||
\(646\) | −15.9749 | − | 18.4360i | −0.628525 | − | 0.725356i | ||||
\(647\) | −7.19453 | − | 33.0727i | −0.282846 | − | 1.30022i | −0.870923 | − | 0.491419i | \(-0.836478\pi\) |
0.588077 | − | 0.808805i | \(-0.299885\pi\) | |||||||
\(648\) | −0.599278 | − | 0.800541i | −0.0235419 | − | 0.0314482i | ||||
\(649\) | −3.75311 | + | 8.21817i | −0.147323 | + | 0.322592i | ||||
\(650\) | 6.70996 | − | 8.15617i | 0.263186 | − | 0.319911i | ||||
\(651\) | 5.95812 | − | 20.2915i | 0.233517 | − | 0.795286i | ||||
\(652\) | 16.4573 | + | 3.58007i | 0.644518 | + | 0.140206i | ||||
\(653\) | 41.2548 | + | 15.3873i | 1.61443 | + | 0.602150i | 0.984637 | − | 0.174616i | \(-0.0558686\pi\) |
0.629789 | + | 0.776766i | \(0.283141\pi\) | |||||||
\(654\) | 7.99597 | − | 2.34783i | 0.312667 | − | 0.0918074i | ||||
\(655\) | 40.3764 | − | 19.0670i | 1.57764 | − | 0.745010i | ||||
\(656\) | −5.17733 | + | 5.97496i | −0.202141 | + | 0.233283i | ||||
\(657\) | −3.63103 | − | 1.98269i | −0.141660 | − | 0.0773521i | ||||
\(658\) | −4.89470 | + | 13.1232i | −0.190815 | + | 0.511596i | ||||
\(659\) | 16.8484 | − | 10.8278i | 0.656320 | − | 0.421791i | −0.169651 | − | 0.985504i | \(-0.554264\pi\) |
0.825971 | + | 0.563713i | \(0.190628\pi\) | |||||||
\(660\) | −2.42998 | + | 0.205061i | −0.0945869 | + | 0.00798199i | ||||
\(661\) | 27.0339 | − | 3.88689i | 1.05150 | − | 0.151183i | 0.405169 | − | 0.914242i | \(-0.367213\pi\) |
0.646328 | + | 0.763059i | \(0.276304\pi\) | |||||||
\(662\) | −21.3131 | + | 7.94936i | −0.828355 | + | 0.308961i | ||||
\(663\) | 13.4684 | − | 10.0823i | 0.523069 | − | 0.391565i | ||||
\(664\) | 0.989802 | + | 0.636107i | 0.0384118 | + | 0.0246858i | ||||
\(665\) | −22.9715 | − | 12.1647i | −0.890797 | − | 0.471725i | ||||
\(666\) | − | 4.17642i | − | 0.161833i | ||||||
\(667\) | −14.4006 | − | 3.03104i | −0.557592 | − | 0.117362i | ||||
\(668\) | 17.6919 | − | 17.6919i | 0.684521 | − | 0.684521i | ||||
\(669\) | 6.33254 | − | 5.48718i | 0.244830 | − | 0.212147i | ||||
\(670\) | 0.155265 | + | 0.234936i | 0.00599842 | + | 0.00907638i | ||||
\(671\) | 0.832296 | − | 5.78875i | 0.0321304 | − | 0.223472i | ||||
\(672\) | 1.32638 | + | 3.55617i | 0.0511664 | + | 0.137182i | ||||
\(673\) | 23.8524 | + | 17.8557i | 0.919441 | + | 0.688285i | 0.950332 | − | 0.311238i | \(-0.100744\pi\) |
−0.0308910 | + | 0.999523i | \(0.509834\pi\) | |||||||
\(674\) | −22.8766 | − | 6.71716i | −0.881172 | − | 0.258735i | ||||
\(675\) | −2.50769 | − | 4.32568i | −0.0965211 | − | 0.166495i | ||||
\(676\) | −3.54687 | − | 7.76656i | −0.136418 | − | 0.298714i | ||||
\(677\) | 5.94184 | − | 10.8817i | 0.228363 | − | 0.418217i | −0.738223 | − | 0.674557i | \(-0.764335\pi\) |
0.966587 | + | 0.256340i | \(0.0825167\pi\) | |||||||
\(678\) | 18.0022 | − | 1.28754i | 0.691371 | − | 0.0494478i | ||||
\(679\) | −21.2358 | − | 18.4009i | −0.814954 | − | 0.706162i | ||||
\(680\) | −2.30895 | + | 17.6595i | −0.0885443 | + | 0.677210i | ||||
\(681\) | −7.17602 | + | 3.27718i | −0.274986 | + | 0.125582i | ||||
\(682\) | 1.29169 | − | 5.93778i | 0.0494612 | − | 0.227369i | ||||
\(683\) | −24.6577 | + | 13.4641i | −0.943502 | + | 0.515191i | −0.875885 | − | 0.482520i | \(-0.839721\pi\) |
−0.0676172 | + | 0.997711i | \(0.521540\pi\) | |||||||
\(684\) | −0.435879 | − | 3.03161i | −0.0166663 | − | 0.115916i | ||||
\(685\) | 1.28548 | − | 21.9072i | 0.0491158 | − | 0.837032i | ||||
\(686\) | 1.52398 | + | 0.219115i | 0.0581859 | + | 0.00836586i | ||||
\(687\) | −4.17427 | + | 0.908056i | −0.159258 | + | 0.0346445i | ||||
\(688\) | −0.522993 | + | 7.31240i | −0.0199389 | + | 0.278783i | ||||
\(689\) | −20.6030 | −0.784911 | ||||||||
\(690\) | −5.32225 | − | 9.30987i | −0.202615 | − | 0.354421i | ||||
\(691\) | −21.1019 | −0.802754 | −0.401377 | − | 0.915913i | \(-0.631468\pi\) | ||||
−0.401377 | + | 0.915913i | \(0.631468\pi\) | |||||||
\(692\) | −1.06345 | + | 14.8690i | −0.0404263 | + | 0.565234i | ||||
\(693\) | −4.04469 | + | 0.879869i | −0.153645 | + | 0.0334234i | ||||
\(694\) | 10.7661 | + | 1.54794i | 0.408677 | + | 0.0587588i | ||||
\(695\) | 9.33797 | + | 10.5022i | 0.354209 | + | 0.398370i | ||||
\(696\) | 0.436695 | + | 3.03728i | 0.0165529 | + | 0.115128i | ||||
\(697\) | −55.2671 | + | 30.1781i | −2.09339 | + | 1.14308i | ||||
\(698\) | 1.46174 | − | 6.71951i | 0.0553277 | − | 0.254337i | ||||
\(699\) | −25.2052 | + | 11.5108i | −0.953347 | + | 0.435379i | ||||
\(700\) | 4.50686 | + | 18.4345i | 0.170343 | + | 0.696757i | ||||
\(701\) | 15.2422 | + | 13.2075i | 0.575691 | + | 0.498839i | 0.893347 | − | 0.449367i | \(-0.148350\pi\) |
−0.317656 | + | 0.948206i | \(0.602896\pi\) | |||||||
\(702\) | 2.10693 | − | 0.150691i | 0.0795210 | − | 0.00568745i | ||||
\(703\) | 6.13030 | − | 11.2268i | 0.231208 | − | 0.423427i | ||||
\(704\) | 0.453045 | + | 0.992030i | 0.0170748 | + | 0.0373885i | ||||
\(705\) | −8.15200 | + | 1.27869i | −0.307022 | + | 0.0481583i | ||||
\(706\) | −9.25070 | − | 2.71625i | −0.348155 | − | 0.102227i | ||||
\(707\) | 29.2119 | + | 21.8678i | 1.09863 | + | 0.822423i | ||||
\(708\) | 2.89503 | + | 7.76188i | 0.108802 | + | 0.291709i | ||||
\(709\) | 1.20391 | − | 8.37338i | 0.0452138 | − | 0.314469i | −0.954646 | − | 0.297742i | \(-0.903766\pi\) |
0.999860 | − | 0.0167267i | \(-0.00532452\pi\) | |||||||
\(710\) | 2.76549 | − | 13.5444i | 0.103787 | − | 0.508313i | ||||
\(711\) | 11.1853 | − | 9.69214i | 0.419482 | − | 0.363483i | ||||
\(712\) | −1.31920 | + | 1.31920i | −0.0494391 | + | 0.0494391i | ||||
\(713\) | 26.0724 | − | 5.85622i | 0.976420 | − | 0.219317i | ||||
\(714\) | 30.2301i | 1.13133i | ||||||||
\(715\) | 2.41066 | − | 4.55224i | 0.0901534 | − | 0.170244i | ||||
\(716\) | 19.3917 | + | 12.4623i | 0.724701 | + | 0.465737i | ||||
\(717\) | −13.8713 | + | 10.3839i | −0.518032 | + | 0.387794i | ||||
\(718\) | 14.4123 | − | 5.37551i | 0.537862 | − | 0.200612i | ||||
\(719\) | 10.9257 | − | 1.57088i | 0.407461 | − | 0.0585840i | 0.0644627 | − | 0.997920i | \(-0.479467\pi\) |
0.342998 | + | 0.939336i | \(0.388558\pi\) | |||||||
\(720\) | −1.44258 | + | 1.70850i | −0.0537619 | + | 0.0636719i | ||||
\(721\) | −51.7613 | + | 33.2649i | −1.92769 | + | 1.23885i | ||||
\(722\) | −3.36163 | + | 9.01288i | −0.125107 | + | 0.335425i | ||||
\(723\) | 17.2021 | + | 9.39305i | 0.639753 | + | 0.349331i | ||||
\(724\) | 1.59588 | − | 1.84175i | 0.0593105 | − | 0.0684480i | ||||
\(725\) | 0.392376 | + | 15.3376i | 0.0145725 | + | 0.569623i | ||||
\(726\) | 9.41323 | − | 2.76397i | 0.349358 | − | 0.102581i | ||||
\(727\) | −5.73497 | − | 2.13903i | −0.212698 | − | 0.0793324i | 0.240857 | − | 0.970561i | \(-0.422572\pi\) |
−0.453555 | + | 0.891228i | \(0.649844\pi\) | |||||||
\(728\) | −7.83402 | − | 1.70419i | −0.290348 | − | 0.0631614i | ||||
\(729\) | 0.281733 | − | 0.959493i | 0.0104345 | − | 0.0355368i | ||||
\(730\) | −2.49253 | + | 8.90867i | −0.0922525 | + | 0.329725i | ||||
\(731\) | −24.2563 | + | 53.1138i | −0.897150 | + | 1.96448i | ||||
\(732\) | −3.21364 | − | 4.29291i | −0.118779 | − | 0.158671i | ||||
\(733\) | 2.23627 | + | 10.2800i | 0.0825985 | + | 0.379699i | 0.999826 | − | 0.0186651i | \(-0.00594163\pi\) |
−0.917227 | + | 0.398364i | \(0.869578\pi\) | |||||||
\(734\) | 9.05529 | + | 10.4504i | 0.334237 | + | 0.385730i | ||||
\(735\) | 5.98491 | + | 15.4402i | 0.220757 | + | 0.569520i | ||||
\(736\) | −3.11608 | + | 3.64555i | −0.114860 | + | 0.134377i | ||||
\(737\) | 0.0971185 | + | 0.0971185i | 0.00357741 | + | 0.00357741i | ||||
\(738\) | −7.88586 | − | 0.564008i | −0.290283 | − | 0.0207614i | ||||
\(739\) | −20.1826 | + | 31.4048i | −0.742431 | + | 1.15524i | 0.240389 | + | 0.970677i | \(0.422725\pi\) |
−0.982820 | + | 0.184568i | \(0.940911\pi\) | |||||||
\(740\) | −9.09921 | + | 2.10163i | −0.334494 | + | 0.0772575i | ||||
\(741\) | 5.88491 | + | 2.68755i | 0.216188 | + | 0.0987296i | ||||
\(742\) | 22.1853 | − | 29.6362i | 0.814450 | − | 1.08798i | ||||
\(743\) | 15.4676 | + | 28.3267i | 0.567449 | + | 1.03921i | 0.991067 | + | 0.133365i | \(0.0425782\pi\) |
−0.423618 | + | 0.905841i | \(0.639240\pi\) | |||||||
\(744\) | −3.01241 | − | 4.68740i | −0.110440 | − | 0.171849i | ||||
\(745\) | 0.458192 | + | 35.8263i | 0.0167868 | + | 1.31257i | ||||
\(746\) | −1.78886 | − | 6.09228i | −0.0654947 | − | 0.223054i | ||||
\(747\) | 0.0839363 | + | 1.17358i | 0.00307107 | + | 0.0429391i | ||||
\(748\) | 0.619671 | + | 8.66413i | 0.0226574 | + | 0.316792i | ||||
\(749\) | 0.642655 | + | 2.18868i | 0.0234821 | + | 0.0799727i | ||||
\(750\) | −8.16249 | + | 7.64027i | −0.298052 | + | 0.278983i | ||||
\(751\) | −9.24313 | − | 14.3826i | −0.337287 | − | 0.524828i | 0.630635 | − | 0.776079i | \(-0.282794\pi\) |
−0.967922 | + | 0.251251i | \(0.919158\pi\) | |||||||
\(752\) | 1.76855 | + | 3.23887i | 0.0644925 | + | 0.118109i | ||||
\(753\) | 1.24632 | − | 1.66489i | 0.0454185 | − | 0.0606721i | ||||
\(754\) | −5.89593 | − | 2.69258i | −0.214717 | − | 0.0980580i | ||||
\(755\) | 14.8208 | − | 23.7233i | 0.539385 | − | 0.863379i | ||||
\(756\) | −2.05199 | + | 3.19296i | −0.0746302 | + | 0.116127i | ||||
\(757\) | 32.4860 | + | 2.32344i | 1.18072 | + | 0.0844470i | 0.647863 | − | 0.761757i | \(-0.275663\pi\) |
0.532860 | + | 0.846204i | \(0.321117\pi\) | |||||||
\(758\) | 1.46793 | + | 1.46793i | 0.0533177 | + | 0.0533177i | ||||
\(759\) | −3.45168 | − | 3.92956i | −0.125288 | − | 0.142634i | ||||
\(760\) | −6.38565 | + | 2.47520i | −0.231632 | + | 0.0897849i | ||||
\(761\) | −14.0132 | − | 16.1721i | −0.507980 | − | 0.586240i | 0.442600 | − | 0.896719i | \(-0.354056\pi\) |
−0.950580 | + | 0.310479i | \(0.899511\pi\) | |||||||
\(762\) | −1.36326 | − | 6.26682i | −0.0493858 | − | 0.227023i | ||||
\(763\) | −18.9550 | − | 25.3209i | −0.686217 | − | 0.916679i | ||||
\(764\) | −2.58470 | + | 5.65970i | −0.0935111 | + | 0.204761i | ||||
\(765\) | −15.5208 | + | 8.73452i | −0.561157 | + | 0.315797i | ||||
\(766\) | 0.248221 | − | 0.845362i | 0.00896858 | − | 0.0305442i | ||||
\(767\) | −17.0989 | − | 3.71964i | −0.617406 | − | 0.134309i | ||||
\(768\) | 0.936950 | + | 0.349464i | 0.0338093 | + | 0.0126102i | ||||
\(769\) | 28.6559 | − | 8.41413i | 1.03336 | − | 0.303421i | 0.279282 | − | 0.960209i | \(-0.409903\pi\) |
0.754075 | + | 0.656788i | \(0.228085\pi\) | |||||||
\(770\) | 3.95232 | + | 8.36945i | 0.142432 | + | 0.301614i | ||||
\(771\) | 5.11200 | − | 5.89956i | 0.184104 | − | 0.212468i | ||||
\(772\) | 10.4379 | + | 5.69955i | 0.375670 | + | 0.205131i | ||||
\(773\) | 17.4034 | − | 46.6602i | 0.625955 | − | 1.67825i | −0.103848 | − | 0.994593i | \(-0.533116\pi\) |
0.729803 | − | 0.683657i | \(-0.239612\pi\) | |||||||
\(774\) | −6.16730 | + | 3.96348i | −0.221679 | + | 0.142464i | ||||
\(775\) | −12.2176 | − | 25.0378i | −0.438870 | − | 0.899383i | ||||
\(776\) | −7.32792 | + | 1.05360i | −0.263057 | + | 0.0378219i | ||||
\(777\) | −14.8521 | + | 5.53954i | −0.532815 | + | 0.198730i | ||||
\(778\) | −25.0166 | + | 18.7272i | −0.896890 | + | 0.671403i | ||||
\(779\) | −20.3704 | − | 13.0913i | −0.729846 | − | 0.469043i | ||||
\(780\) | −1.38855 | − | 4.51456i | −0.0497180 | − | 0.161647i | ||||
\(781\) | − | 6.74223i | − | 0.241256i | ||||||
\(782\) | −33.4011 | + | 18.5320i | −1.19442 | + | 0.662703i | ||||
\(783\) | −2.16977 | + | 2.16977i | −0.0775412 | + | 0.0775412i | ||||
\(784\) | 5.59682 | − | 4.84967i | 0.199886 | − | 0.173203i | ||||
\(785\) | −15.5530 | − | 3.17560i | −0.555110 | − | 0.113342i | ||||
\(786\) | 2.84188 | − | 19.7657i | 0.101367 | − | 0.705020i | ||||
\(787\) | −7.28777 | − | 19.5393i | −0.259781 | − | 0.696500i | −0.999716 | − | 0.0238217i | \(-0.992417\pi\) |
0.739935 | − | 0.672678i | \(-0.234856\pi\) | |||||||
\(788\) | −8.46973 | − | 6.34036i | −0.301721 | − | 0.225866i | ||||
\(789\) | 18.9399 | + | 5.56124i | 0.674277 | + | 0.197985i | ||||
\(790\) | −26.7450 | − | 19.4924i | −0.951543 | − | 0.693507i | ||||
\(791\) | −28.4566 | − | 62.3112i | −1.01180 | − | 2.21553i | ||||
\(792\) | −0.522661 | + | 0.957183i | −0.0185720 | + | 0.0340120i | ||||
\(793\) | 11.2985 | − | 0.808081i | 0.401220 | − | 0.0286958i | ||||
\(794\) | 2.00195 | + | 1.73470i | 0.0710465 | + | 0.0615621i | ||||
\(795\) | 21.6260 | + | 2.82757i | 0.766995 | + | 0.100283i | ||||
\(796\) | −19.3035 | + | 8.81562i | −0.684195 | + | 0.312461i | ||||
\(797\) | −5.25449 | + | 24.1545i | −0.186124 | + | 0.855597i | 0.785462 | + | 0.618910i | \(0.212425\pi\) |
−0.971586 | + | 0.236687i | \(0.923938\pi\) | |||||||
\(798\) | −10.2028 | + | 5.57113i | −0.361174 | + | 0.197216i | ||||
\(799\) | 4.18294 | + | 29.0930i | 0.147982 | + | 1.02923i | ||||
\(800\) | 4.44824 | + | 2.28323i | 0.157269 | + | 0.0807244i | ||||
\(801\) | −1.84664 | − | 0.265507i | −0.0652479 | − | 0.00938123i | ||||
\(802\) | 32.0610 | − | 6.97445i | 1.13211 | − | 0.246276i | ||||
\(803\) | −0.321870 | + | 4.50034i | −0.0113586 | + | 0.158813i | ||||
\(804\) | 0.125938 | 0.00444150 | ||||||||
\(805\) | −26.0481 | + | 31.2753i | −0.918077 | + | 1.10231i | ||||
\(806\) | 11.7697 | 0.414569 | ||||||||
\(807\) | 1.27532 | − | 17.8313i | 0.0448933 | − | 0.627691i | ||||
\(808\) | 9.39442 | − | 2.04363i | 0.330495 | − | 0.0718947i | ||||
\(809\) | 51.8542 | + | 7.45550i | 1.82310 | + | 0.262122i | 0.967015 | − | 0.254721i | \(-0.0819835\pi\) |
0.856081 | + | 0.516842i | \(0.172893\pi\) | |||||||
\(810\) | −2.23223 | − | 0.130984i | −0.0784325 | − | 0.00460230i | ||||
\(811\) | 5.27824 | + | 36.7109i | 0.185344 | + | 1.28910i | 0.843874 | + | 0.536541i | \(0.180269\pi\) |
−0.658530 | + | 0.752554i | \(0.728822\pi\) | |||||||
\(812\) | 10.2219 | − | 5.58157i | 0.358717 | − | 0.195875i | ||||
\(813\) | −6.22317 | + | 28.6074i | −0.218256 | + | 1.00331i | ||||
\(814\) | −4.14314 | + | 1.89211i | −0.145217 | + | 0.0663183i | ||||
\(815\) | 29.8576 | − | 22.9527i | 1.04586 | − | 0.803998i | ||||
\(816\) | 6.01938 | + | 5.21582i | 0.210720 | + | 0.182590i | ||||
\(817\) | −22.3963 | + | 1.60181i | −0.783546 | + | 0.0560403i | ||||
\(818\) | 10.4712 | − | 19.1765i | 0.366115 | − | 0.670490i | ||||
\(819\) | −3.33048 | − | 7.29274i | −0.116376 | − | 0.254829i | ||||
\(820\) | 2.73946 | + | 17.4648i | 0.0956661 | + | 0.609898i | ||||
\(821\) | −39.0296 | − | 11.4601i | −1.36214 | − | 0.399961i | −0.482624 | − | 0.875828i | \(-0.660316\pi\) |
−0.879517 | + | 0.475867i | \(0.842134\pi\) | |||||||
\(822\) | −7.85656 | − | 5.88135i | −0.274029 | − | 0.205136i | ||||
\(823\) | 4.06082 | + | 10.8875i | 0.141551 | + | 0.379514i | 0.988309 | − | 0.152465i | \(-0.0487213\pi\) |
−0.846758 | + | 0.531979i | \(0.821449\pi\) | |||||||
\(824\) | −2.30707 | + | 16.0461i | −0.0803707 | + | 0.558991i | ||||
\(825\) | −3.15510 | + | 4.44743i | −0.109847 | + | 0.154840i | ||||
\(826\) | 23.7627 | − | 20.5905i | 0.826808 | − | 0.716434i | ||||
\(827\) | 6.04433 | − | 6.04433i | 0.210182 | − | 0.210182i | −0.594163 | − | 0.804345i | \(-0.702517\pi\) |
0.804345 | + | 0.594163i | \(0.202517\pi\) | |||||||
\(828\) | −4.78581 | − | 0.309848i | −0.166318 | − | 0.0107679i | ||||
\(829\) | − | 0.508709i | − | 0.0176682i | −0.999961 | − | 0.00883409i | \(-0.997188\pi\) | ||
0.999961 | − | 0.00883409i | \(-0.00281202\pi\) | |||||||
\(830\) | 2.51466 | − | 0.773435i | 0.0872851 | − | 0.0268463i | ||||
\(831\) | −1.28947 | − | 0.828689i | −0.0447311 | − | 0.0287469i | ||||
\(832\) | −1.69099 | + | 1.26586i | −0.0586247 | + | 0.0438859i | ||||
\(833\) | 55.2654 | − | 20.6129i | 1.91483 | − | 0.714196i | ||||
\(834\) | 6.22082 | − | 0.894419i | 0.215409 | − | 0.0309712i | ||||
\(835\) | −4.70450 | − | 55.7486i | −0.162806 | − | 1.92926i | ||||
\(836\) | −2.80997 | + | 1.80586i | −0.0971849 | + | 0.0624569i | ||||
\(837\) | 1.94719 | − | 5.22062i | 0.0673047 | − | 0.180451i | ||||
\(838\) | −33.1546 | − | 18.1038i | −1.14531 | − | 0.625384i | ||||
\(839\) | 0.349757 | − | 0.403641i | 0.0120749 | − | 0.0139352i | −0.749680 | − | 0.661801i | \(-0.769793\pi\) |
0.761755 | + | 0.647865i | \(0.224338\pi\) | |||||||
\(840\) | 7.98912 | + | 2.86395i | 0.275651 | + | 0.0988157i | ||||
\(841\) | −18.7909 | + | 5.51751i | −0.647963 | + | 0.190259i | ||||
\(842\) | 20.8872 | + | 7.79051i | 0.719819 | + | 0.268479i | ||||
\(843\) | 2.15531 | + | 0.468858i | 0.0742327 | + | 0.0161483i | ||||
\(844\) | −0.619342 | + | 2.10928i | −0.0213186 | + | 0.0726046i | ||||
\(845\) | −18.3858 | − | 5.14409i | −0.632490 | − | 0.176962i | ||||
\(846\) | −1.53299 | + | 3.35678i | −0.0527053 | + | 0.115408i | ||||
\(847\) | −22.3147 | − | 29.8090i | −0.766743 | − | 1.02425i | ||||
\(848\) | −2.07331 | − | 9.53085i | −0.0711977 | − | 0.327291i | ||||
\(849\) | −1.29066 | − | 1.48950i | −0.0442952 | − | 0.0511194i | ||||
\(850\) | 26.8403 | + | 29.4201i | 0.920614 | + | 1.00910i | ||||
\(851\) | −15.2254 | − | 13.0140i | −0.521919 | − | 0.446116i | ||||
\(852\) | −4.37149 | − | 4.37149i | −0.149765 | − | 0.149765i | ||||
\(853\) | −9.13264 | − | 0.653179i | −0.312695 | − | 0.0223644i | −0.0858904 | − | 0.996305i | \(-0.527373\pi\) |
−0.226805 | + | 0.973940i | \(0.572828\pi\) | |||||||
\(854\) | −11.0038 | + | 17.1223i | −0.376543 | + | 0.585913i | ||||
\(855\) | −5.80827 | − | 3.62864i | −0.198639 | − | 0.124097i | ||||
\(856\) | 0.546689 | + | 0.249664i | 0.0186854 | + | 0.00853335i | ||||
\(857\) | 23.4624 | − | 31.3421i | 0.801461 | − | 1.07063i | −0.194505 | − | 0.980901i | \(-0.562310\pi\) |
0.995967 | − | 0.0897252i | \(-0.0285989\pi\) | |||||||
\(858\) | −1.10402 | − | 2.02187i | −0.0376908 | − | 0.0690255i | ||||
\(859\) | 3.29579 | + | 5.12834i | 0.112451 | + | 0.174977i | 0.892917 | − | 0.450221i | \(-0.148655\pi\) |
−0.780466 | + | 0.625198i | \(0.785018\pi\) | |||||||
\(860\) | 11.7387 | + | 11.4423i | 0.400288 | + | 0.390178i | ||||
\(861\) | 8.45397 | + | 28.7916i | 0.288110 | + | 0.981214i | ||||
\(862\) | −2.65617 | − | 37.1382i | −0.0904697 | − | 1.26493i | ||||
\(863\) | 0.296151 | + | 4.14074i | 0.0100811 | + | 0.140952i | 1.00000 | 0.000684728i | \(-0.000217956\pi\) | |
−0.989919 | + | 0.141637i | \(0.954763\pi\) | |||||||
\(864\) | 0.281733 | + | 0.959493i | 0.00958474 | + | 0.0326426i | ||||
\(865\) | 23.8695 | + | 23.2666i | 0.811586 | + | 0.791089i | ||||
\(866\) | 19.1731 | + | 29.8339i | 0.651529 | + | 1.01380i | ||||
\(867\) | 22.2552 | + | 40.7574i | 0.755827 | + | 1.38419i | ||||
\(868\) | −12.6736 | + | 16.9300i | −0.430170 | + | 0.574640i | ||||
\(869\) | −14.6823 | − | 6.70520i | −0.498064 | − | 0.227458i | ||||
\(870\) | 5.81915 | + | 3.63544i | 0.197288 | + | 0.123253i | ||||
\(871\) | −0.143822 | + | 0.223791i | −0.00487322 | + | 0.00758288i | ||||
\(872\) | −8.31230 | − | 0.594508i | −0.281490 | − | 0.0201326i | ||||
\(873\) | −5.23490 | − | 5.23490i | −0.177175 | − | 0.177175i | ||||
\(874\) | −12.4101 | − | 7.85769i | −0.419778 | − | 0.265790i | ||||
\(875\) | 37.9967 | + | 18.8933i | 1.28452 | + | 0.638710i | ||||
\(876\) | 2.70921 | + | 3.12660i | 0.0915357 | + | 0.105638i | ||||
\(877\) | −4.01522 | − | 18.4576i | −0.135584 | − | 0.623270i | −0.993913 | − | 0.110170i | \(-0.964860\pi\) |
0.858329 | − | 0.513100i | \(-0.171503\pi\) | |||||||
\(878\) | 5.62501 | + | 7.51413i | 0.189835 | + | 0.253590i | ||||
\(879\) | −1.77320 | + | 3.88277i | −0.0598086 | + | 0.130963i | ||||
\(880\) | 2.34843 | + | 0.657060i | 0.0791657 | + | 0.0221495i | ||||
\(881\) | 2.25658 | − | 7.68521i | 0.0760261 | − | 0.258921i | −0.912706 | − | 0.408617i | \(-0.866011\pi\) |
0.988732 | + | 0.149696i | \(0.0478294\pi\) | |||||||
\(882\) | 7.23641 | + | 1.57419i | 0.243663 | + | 0.0530056i | ||||
\(883\) | −51.9520 | − | 19.3771i | −1.74832 | − | 0.652091i | −0.748386 | − | 0.663264i | \(-0.769171\pi\) |
−0.999938 | + | 0.0111731i | \(0.996443\pi\) | |||||||
\(884\) | −16.1426 | + | 4.73990i | −0.542935 | + | 0.159420i | ||||
\(885\) | 17.4375 | + | 6.25100i | 0.586154 | + | 0.210125i | ||||
\(886\) | 19.7221 | − | 22.7605i | 0.662577 | − | 0.764654i | ||||
\(887\) | −5.31750 | − | 2.90358i | −0.178544 | − | 0.0974925i | 0.387491 | − | 0.921873i | \(-0.373342\pi\) |
−0.566036 | + | 0.824381i | \(0.691524\pi\) | |||||||
\(888\) | −1.45951 | + | 3.91310i | −0.0489779 | + | 0.131315i | ||||
\(889\) | −20.4777 | + | 13.1602i | −0.686800 | + | 0.441379i | ||||
\(890\) | 0.350792 | + | 4.15690i | 0.0117586 | + | 0.139340i | ||||
\(891\) | −1.07948 | + | 0.155206i | −0.0361640 | + | 0.00519961i | ||||
\(892\) | −7.85085 | + | 2.92821i | −0.262866 | + | 0.0980439i | ||||
\(893\) | −9.04808 | + | 6.77331i | −0.302783 | + | 0.226660i | ||||
\(894\) | 13.4797 | + | 8.66285i | 0.450827 | + | 0.289729i | ||||
\(895\) | 49.2658 | − | 15.1527i | 1.64677 | − | 0.506500i | ||||
\(896\) | − | 3.79548i | − | 0.126798i | ||||||
\(897\) | 6.01601 | − | 8.15050i | 0.200869 | − | 0.272137i | ||||
\(898\) | 9.77257 | − | 9.77257i | 0.326115 | − | 0.326115i | ||||
\(899\) | −12.9215 | + | 11.1965i | −0.430955 | + | 0.373425i | ||||
\(900\) | 0.837912 | + | 4.92929i | 0.0279304 | + | 0.164310i | ||||
\(901\) | 11.0559 | − | 76.8957i | 0.368327 | − | 2.56177i | ||||
\(902\) | 3.01314 | + | 8.07853i | 0.100326 | + | 0.268986i | ||||
\(903\) | 22.2750 | + | 16.6749i | 0.741266 | + | 0.554905i | ||||
\(904\) | −17.3171 | − | 5.08477i | −0.575959 | − | 0.169117i | ||||
\(905\) | −0.844424 | − | 5.38343i | −0.0280696 | − | 0.178951i | ||||
\(906\) | −5.19668 | − | 11.3791i | −0.172648 | − | 0.378046i | ||||
\(907\) | −7.27950 | + | 13.3314i | −0.241712 | + | 0.442662i | −0.970169 | − | 0.242429i | \(-0.922056\pi\) |
0.728457 | + | 0.685091i | \(0.240238\pi\) | |||||||
\(908\) | 7.86882 | − | 0.562789i | 0.261136 | − | 0.0186768i | ||||
\(909\) | 7.26588 | + | 6.29592i | 0.240994 | + | 0.208822i | ||||
\(910\) | −14.2128 | + | 10.9260i | −0.471150 | + | 0.362192i | ||||
\(911\) | 25.4849 | − | 11.6386i | 0.844354 | − | 0.385603i | 0.0542132 | − | 0.998529i | \(-0.482735\pi\) |
0.790140 | + | 0.612926i | \(0.210008\pi\) | |||||||
\(912\) | −0.651041 | + | 2.99279i | −0.0215581 | + | 0.0991010i | ||||
\(913\) | 1.12620 | − | 0.614953i | 0.0372719 | − | 0.0203520i | ||||
\(914\) | −4.37456 | − | 30.4258i | −0.144698 | − | 1.00639i | ||||
\(915\) | −11.9704 | − | 0.702402i | −0.395728 | − | 0.0232207i | ||||
\(916\) | 4.22841 | + | 0.607954i | 0.139711 | + | 0.0200874i | ||||
\(917\) | −74.0598 | + | 16.1107i | −2.44567 | + | 0.532023i | ||||
\(918\) | −0.568201 | + | 7.94449i | −0.0187534 | + | 0.262207i | ||||
\(919\) | 14.1690 | 0.467394 | 0.233697 | − | 0.972310i | \(-0.424918\pi\) | ||||
0.233697 | + | 0.972310i | \(0.424918\pi\) | |||||||
\(920\) | 1.73322 | + | 10.5828i | 0.0571425 | + | 0.348905i | ||||
\(921\) | 20.9298 | 0.689659 | ||||||||
\(922\) | −2.13660 | + | 29.8736i | −0.0703653 | + | 0.983835i | ||||
\(923\) | 12.7604 | − | 2.77585i | 0.420012 | − | 0.0913681i | ||||
\(924\) | 4.09716 | + | 0.589082i | 0.134787 | + | 0.0193794i | ||||
\(925\) | −9.53574 | + | 18.5777i | −0.313533 | + | 0.610832i | ||||
\(926\) | −2.13236 | − | 14.8309i | −0.0700735 | − | 0.487372i | ||||
\(927\) | −14.2281 | + | 7.76913i | −0.467312 | + | 0.255172i | ||||
\(928\) | 0.652260 | − | 2.99839i | 0.0214115 | − | 0.0984270i | ||||
\(929\) | 18.4390 | − | 8.42082i | 0.604965 | − | 0.276278i | −0.0892919 | − | 0.996005i | \(-0.528460\pi\) |
0.694257 | + | 0.719727i | \(0.255733\pi\) | |||||||
\(930\) | −12.3541 | − | 1.61528i | −0.405106 | − | 0.0529670i | ||||
\(931\) | 17.1418 | + | 14.8535i | 0.561801 | + | 0.486803i | ||||
\(932\) | 27.6386 | − | 1.97675i | 0.905333 | − | 0.0647507i | ||||
\(933\) | 2.99849 | − | 5.49133i | 0.0981662 | − | 0.179778i | ||||
\(934\) | −10.9157 | − | 23.9021i | −0.357174 | − | 0.782102i | ||||
\(935\) | 15.6965 | + | 11.4400i | 0.513332 | + | 0.374129i | ||||
\(936\) | −2.02675 | − | 0.595107i | −0.0662464 | − | 0.0194517i | ||||
\(937\) | −13.8488 | − | 10.3671i | −0.452419 | − | 0.338677i | 0.348645 | − | 0.937255i | \(-0.386642\pi\) |
−0.801065 | + | 0.598578i | \(0.795733\pi\) | |||||||
\(938\) | −0.167043 | − | 0.447858i | −0.00545413 | − | 0.0146231i | ||||
\(939\) | −3.82826 | + | 26.6261i | −0.124930 | + | 0.868910i | ||||
\(940\) | 8.08487 | + | 1.65076i | 0.263699 | + | 0.0538420i | ||||
\(941\) | 20.9894 | − | 18.1874i | 0.684235 | − | 0.592893i | −0.241802 | − | 0.970326i | \(-0.577738\pi\) |
0.926037 | + | 0.377433i | \(0.123193\pi\) | |||||||
\(942\) | −5.01976 | + | 5.01976i | −0.163553 | + | 0.163553i | ||||
\(943\) | −26.6291 | + | 26.9908i | −0.867162 | + | 0.878943i | ||||
\(944\) | − | 8.28420i | − | 0.269628i | ||||||
\(945\) | 2.49499 | + | 8.11192i | 0.0811620 | + | 0.263881i | ||||
\(946\) | 6.72595 | + | 4.32251i | 0.218680 | + | 0.140537i | ||||
\(947\) | −13.7997 | + | 10.3303i | −0.448430 | + | 0.335690i | −0.799508 | − | 0.600656i | \(-0.794906\pi\) |
0.351078 | + | 0.936346i | \(0.385815\pi\) | |||||||
\(948\) | −13.8671 | + | 5.17217i | −0.450384 | + | 0.167984i | ||||
\(949\) | −8.64986 | + | 1.24366i | −0.280786 | + | 0.0403710i | ||||
\(950\) | −4.98296 | + | 14.4805i | −0.161669 | + | 0.469810i | ||||
\(951\) | −2.10571 | + | 1.35326i | −0.0682822 | + | 0.0438823i | ||||
\(952\) | 10.5644 | − | 28.3241i | 0.342393 | − | 0.917990i | ||||
\(953\) | −26.2068 | − | 14.3100i | −0.848922 | − | 0.463546i | −0.00498415 | − | 0.999988i | \(-0.501587\pi\) |
−0.843938 | + | 0.536441i | \(0.819768\pi\) | |||||||
\(954\) | 6.38735 | − | 7.37139i | 0.206798 | − | 0.238658i | ||||
\(955\) | 5.94093 | + | 12.5805i | 0.192244 | + | 0.407096i | ||||
\(956\) | 16.6255 | − | 4.88169i | 0.537707 | − | 0.157885i | ||||
\(957\) | 3.13548 | + | 1.16947i | 0.101356 | + | 0.0378037i | ||||
\(958\) | 25.2541 | + | 5.49369i | 0.815922 | + | 0.177493i | ||||
\(959\) | −10.4943 | + | 35.7402i | −0.338878 | + | 1.15411i | ||||
\(960\) | 1.94869 | − | 1.09664i | 0.0628935 | − | 0.0353940i | ||||
\(961\) | 0.0192668 | − | 0.0421885i | 0.000621511 | − | 0.00136092i | ||||
\(962\) | −5.28678 | − | 7.06231i | −0.170452 | − | 0.227698i | ||||
\(963\) | 0.127752 | + | 0.587265i | 0.00411674 | + | 0.0189244i | ||||
\(964\) | −12.8350 | − | 14.8123i | −0.413386 | − | 0.477073i | ||||
\(965\) | 24.7952 | − | 9.61111i | 0.798187 | − | 0.309392i | ||||
\(966\) | 5.24595 | + | 17.4301i | 0.168786 | + | 0.560806i | ||||
\(967\) | 29.2204 | + | 29.2204i | 0.939665 | + | 0.939665i | 0.998281 | − | 0.0586155i | \(-0.0186686\pi\) |
−0.0586155 | + | 0.998281i | \(0.518669\pi\) | |||||||
\(968\) | −9.78563 | − | 0.699882i | −0.314522 | − | 0.0224951i | ||||
\(969\) | −13.1886 | + | 20.5218i | −0.423679 | + | 0.659257i | ||||
\(970\) | −8.77106 | + | 14.0396i | −0.281622 | + | 0.450785i | ||||
\(971\) | 47.6006 | + | 21.7385i | 1.52758 | + | 0.697621i | 0.989401 | − | 0.145211i | \(-0.0463863\pi\) |
0.538176 | + | 0.842832i | \(0.319114\pi\) | |||||||
\(972\) | −0.599278 | + | 0.800541i | −0.0192218 | + | 0.0256774i | ||||
\(973\) | −11.4319 | − | 20.9360i | −0.366490 | − | 0.671177i | ||||
\(974\) | −10.3599 | − | 16.1203i | −0.331952 | − | 0.516527i | ||||
\(975\) | −9.71620 | − | 4.14030i | −0.311168 | − | 0.132596i | ||||
\(976\) | 1.51080 | + | 5.14530i | 0.0483594 | + | 0.164697i | ||||
\(977\) | −2.06490 | − | 28.8711i | −0.0660621 | − | 0.923669i | −0.917124 | − | 0.398603i | \(-0.869495\pi\) |
0.851061 | − | 0.525066i | \(-0.175959\pi\) | |||||||
\(978\) | −1.20151 | − | 16.7993i | −0.0384200 | − | 0.537182i | ||||
\(979\) | 0.573221 | + | 1.95221i | 0.0183202 | + | 0.0623929i | ||||
\(980\) | −0.211767 | − | 16.5582i | −0.00676465 | − | 0.528932i | ||||
\(981\) | −4.50545 | − | 7.01062i | −0.143848 | − | 0.223832i | ||||
\(982\) | −8.21679 | − | 15.0479i | −0.262208 | − | 0.480199i | ||||
\(983\) | −20.1782 | + | 26.9550i | −0.643586 | + | 0.859730i | −0.997132 | − | 0.0756872i | \(-0.975885\pi\) |
0.353546 | + | 0.935417i | \(0.384976\pi\) | |||||||
\(984\) | 7.19155 | + | 3.28427i | 0.229258 | + | 0.104699i | ||||
\(985\) | −23.0507 | + | 5.32400i | −0.734458 | + | 0.169637i | ||||
\(986\) | 13.2133 | − | 20.5603i | 0.420797 | − | 0.654773i | ||||
\(987\) | 13.9706 | + | 0.999199i | 0.444690 | + | 0.0318048i | ||||
\(988\) | −4.57466 | − | 4.57466i | −0.145539 | − | 0.145539i | ||||
\(989\) | −4.76868 | + | 34.8337i | −0.151635 | + | 1.10765i | ||||
\(990\) | 0.881360 | + | 2.27378i | 0.0280115 | + | 0.0722654i | ||||
\(991\) | −4.55930 | − | 5.26171i | −0.144831 | − | 0.167144i | 0.678699 | − | 0.734416i | \(-0.262544\pi\) |
−0.823530 | + | 0.567273i | \(0.807999\pi\) | |||||||
\(992\) | 1.18440 | + | 5.44459i | 0.0376047 | + | 0.172866i | ||||
\(993\) | 13.6319 | + | 18.2101i | 0.432596 | + | 0.577881i | ||||
\(994\) | −9.74750 | + | 21.3441i | −0.309172 | + | 0.676992i | ||||
\(995\) | −12.7855 | + | 45.6972i | −0.405326 | + | 1.44870i | ||||
\(996\) | 0.331481 | − | 1.12892i | 0.0105034 | − | 0.0357712i | ||||
\(997\) | −3.13148 | − | 0.681212i | −0.0991750 | − | 0.0215742i | 0.162704 | − | 0.986675i | \(-0.447978\pi\) |
−0.261879 | + | 0.965101i | \(0.584342\pi\) | |||||||
\(998\) | 2.08046 | + | 0.775973i | 0.0658559 | + | 0.0245630i | ||||
\(999\) | −4.00725 | + | 1.17663i | −0.126784 | + | 0.0372271i |
(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 | 690.2.w.b.217.2 | yes | 240 | |
5.3 | odd | 4 | inner | 690.2.w.b.493.9 | yes | 240 | |
23.7 | odd | 22 | inner | 690.2.w.b.7.9 | ✓ | 240 | |
115.53 | even | 44 | inner | 690.2.w.b.283.2 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.7.9 | ✓ | 240 | 23.7 | odd | 22 | inner | |
690.2.w.b.217.2 | yes | 240 | 1.1 | even | 1 | trivial | |
690.2.w.b.283.2 | yes | 240 | 115.53 | even | 44 | inner | |
690.2.w.b.493.9 | yes | 240 | 5.3 | odd | 4 | inner |