Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 19.14 | ||
Character | \(\chi\) | \(=\) | 483.19 |
Dual form | 483.2.bf.a.178.14 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{15}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587934 | − | 0.0561409i | −0.415732 | − | 0.0396976i | −0.114906 | − | 0.993376i | \(-0.536657\pi\) |
−0.300827 | + | 0.953679i | \(0.597263\pi\) | |||||||
\(3\) | 0.690079 | − | 0.723734i | 0.398417 | − | 0.417848i | ||||
\(4\) | −1.62134 | − | 0.312488i | −0.810671 | − | 0.156244i | ||||
\(5\) | 2.80331 | − | 1.44520i | 1.25368 | − | 0.646315i | 0.301968 | − | 0.953318i | \(-0.402357\pi\) |
0.951708 | + | 0.307003i | \(0.0993262\pi\) | |||||||
\(6\) | −0.446352 | + | 0.386767i | −0.182223 | + | 0.157897i | ||||
\(7\) | −0.926191 | − | 2.47834i | −0.350067 | − | 0.936725i | ||||
\(8\) | 2.06907 | + | 0.607534i | 0.731527 | + | 0.214796i | ||||
\(9\) | −0.0475819 | − | 0.998867i | −0.0158606 | − | 0.332956i | ||||
\(10\) | −1.72929 | + | 0.692305i | −0.546851 | + | 0.218926i | ||||
\(11\) | −0.0160622 | − | 0.168211i | −0.00484294 | − | 0.0507175i | 0.992727 | − | 0.120384i | \(-0.0384126\pi\) |
−0.997570 | + | 0.0696664i | \(0.977807\pi\) | |||||||
\(12\) | −1.34501 | + | 0.957779i | −0.388272 | + | 0.276487i | ||||
\(13\) | −3.12346 | − | 0.449086i | −0.866293 | − | 0.124554i | −0.305181 | − | 0.952294i | \(-0.598717\pi\) |
−0.561112 | + | 0.827740i | \(0.689626\pi\) | |||||||
\(14\) | 0.405403 | + | 1.50910i | 0.108349 | + | 0.403324i | ||||
\(15\) | 0.888558 | − | 3.02615i | 0.229425 | − | 0.781349i | ||||
\(16\) | 1.88344 | + | 0.754015i | 0.470859 | + | 0.188504i | ||||
\(17\) | 0.814362 | − | 2.35294i | 0.197512 | − | 0.570673i | −0.802138 | − | 0.597139i | \(-0.796304\pi\) |
0.999650 | + | 0.0264660i | \(0.00842538\pi\) | |||||||
\(18\) | −0.0281023 | + | 0.589940i | −0.00662378 | + | 0.139050i | ||||
\(19\) | 0.288493 | + | 0.833544i | 0.0661847 | + | 0.191228i | 0.973244 | − | 0.229775i | \(-0.0737992\pi\) |
−0.907059 | + | 0.421004i | \(0.861678\pi\) | |||||||
\(20\) | −4.99673 | + | 1.46717i | −1.11730 | + | 0.328069i | ||||
\(21\) | −2.43280 | − | 1.03993i | −0.530881 | − | 0.226932i | ||||
\(22\) | 0.0997988i | 0.0212772i | ||||||||
\(23\) | −3.10091 | + | 3.65846i | −0.646585 | + | 0.762842i | ||||
\(24\) | 1.86751 | − | 1.07821i | 0.381205 | − | 0.220089i | ||||
\(25\) | 2.86962 | − | 4.02982i | 0.573924 | − | 0.805963i | ||||
\(26\) | 1.81118 | + | 0.439387i | 0.355202 | + | 0.0861710i | ||||
\(27\) | −0.755750 | − | 0.654861i | −0.145444 | − | 0.126028i | ||||
\(28\) | 0.727221 | + | 4.30766i | 0.137432 | + | 0.814071i | ||||
\(29\) | −4.98217 | − | 5.74973i | −0.925166 | − | 1.06770i | −0.997525 | − | 0.0703197i | \(-0.977598\pi\) |
0.0723586 | − | 0.997379i | \(-0.476947\pi\) | |||||||
\(30\) | −0.692305 | + | 1.72929i | −0.126397 | + | 0.315725i | ||||
\(31\) | 5.54317 | − | 1.34476i | 0.995582 | − | 0.241526i | 0.295310 | − | 0.955401i | \(-0.404577\pi\) |
0.700272 | + | 0.713876i | \(0.253062\pi\) | |||||||
\(32\) | −4.89841 | − | 2.52531i | −0.865925 | − | 0.446415i | ||||
\(33\) | −0.132824 | − | 0.104454i | −0.0231217 | − | 0.0181831i | ||||
\(34\) | −0.610888 | + | 1.33766i | −0.104766 | + | 0.229406i | ||||
\(35\) | −6.17810 | − | 5.60901i | −1.04429 | − | 0.948095i | ||||
\(36\) | −0.234988 | + | 1.63437i | −0.0391646 | + | 0.272396i | ||||
\(37\) | 2.43800 | − | 0.116136i | 0.400804 | − | 0.0190926i | 0.153788 | − | 0.988104i | \(-0.450853\pi\) |
0.247016 | + | 0.969011i | \(0.420550\pi\) | |||||||
\(38\) | −0.122819 | − | 0.506266i | −0.0199238 | − | 0.0821272i | ||||
\(39\) | −2.48046 | + | 1.95065i | −0.397191 | + | 0.312354i | ||||
\(40\) | 6.67824 | − | 1.28713i | 1.05592 | − | 0.203512i | ||||
\(41\) | 1.83533 | − | 2.85583i | 0.286631 | − | 0.446006i | −0.667843 | − | 0.744302i | \(-0.732782\pi\) |
0.954473 | + | 0.298297i | \(0.0964185\pi\) | |||||||
\(42\) | 1.37195 | + | 0.747993i | 0.211696 | + | 0.115418i | ||||
\(43\) | −1.82508 | − | 6.21564i | −0.278322 | − | 0.947877i | −0.973433 | − | 0.228974i | \(-0.926463\pi\) |
0.695111 | − | 0.718903i | \(-0.255355\pi\) | |||||||
\(44\) | −0.0265216 | + | 0.277747i | −0.00399828 | + | 0.0418719i | ||||
\(45\) | −1.57695 | − | 2.73136i | −0.235078 | − | 0.407168i | ||||
\(46\) | 2.02852 | − | 1.97685i | 0.299089 | − | 0.291470i | ||||
\(47\) | 3.43570 | + | 1.98360i | 0.501148 | + | 0.289338i | 0.729188 | − | 0.684314i | \(-0.239898\pi\) |
−0.228039 | + | 0.973652i | \(0.573231\pi\) | |||||||
\(48\) | 1.84543 | − | 0.842778i | 0.266364 | − | 0.121645i | ||||
\(49\) | −5.28434 | + | 4.59083i | −0.754906 | + | 0.655833i | ||||
\(50\) | −1.91339 | + | 2.20817i | −0.270594 | + | 0.312282i | ||||
\(51\) | −1.14093 | − | 2.21310i | −0.159762 | − | 0.309896i | ||||
\(52\) | 4.92387 | + | 1.70417i | 0.682818 | + | 0.236326i | ||||
\(53\) | −6.29008 | − | 7.99849i | −0.864009 | − | 1.09868i | −0.994238 | − | 0.107193i | \(-0.965814\pi\) |
0.130229 | − | 0.991484i | \(-0.458429\pi\) | |||||||
\(54\) | 0.407567 | + | 0.427444i | 0.0554628 | + | 0.0581677i | ||||
\(55\) | −0.288126 | − | 0.448334i | −0.0388510 | − | 0.0604533i | ||||
\(56\) | −0.410679 | − | 5.69055i | −0.0548793 | − | 0.760432i | ||||
\(57\) | 0.802347 | + | 0.366420i | 0.106273 | + | 0.0485335i | ||||
\(58\) | 2.60639 | + | 3.66017i | 0.342236 | + | 0.480604i | ||||
\(59\) | 3.04803 | + | 7.61360i | 0.396819 | + | 0.991207i | 0.983422 | + | 0.181332i | \(0.0580408\pi\) |
−0.586603 | + | 0.809875i | \(0.699535\pi\) | |||||||
\(60\) | −2.38629 | + | 4.62876i | −0.308069 | + | 0.597571i | ||||
\(61\) | 7.46661 | − | 7.11940i | 0.956002 | − | 0.911546i | −0.0401496 | − | 0.999194i | \(-0.512783\pi\) |
0.996152 | + | 0.0876477i | \(0.0279350\pi\) | |||||||
\(62\) | −3.33452 | + | 0.479431i | −0.423484 | + | 0.0608878i | ||||
\(63\) | −2.43146 | + | 1.04307i | −0.306336 | + | 0.131414i | ||||
\(64\) | −0.675234 | − | 0.433947i | −0.0844043 | − | 0.0542433i | ||||
\(65\) | −9.40504 | + | 3.25512i | −1.16655 | + | 0.403748i | ||||
\(66\) | 0.0722278 | + | 0.0688690i | 0.00889063 | + | 0.00847719i | ||||
\(67\) | 11.3496 | + | 8.08205i | 1.38658 | + | 0.987379i | 0.997817 | + | 0.0660416i | \(0.0210370\pi\) |
0.388763 | + | 0.921338i | \(0.372902\pi\) | |||||||
\(68\) | −2.05563 | + | 3.56045i | −0.249281 | + | 0.431768i | ||||
\(69\) | 0.507879 | + | 4.76886i | 0.0611414 | + | 0.574104i | ||||
\(70\) | 3.31743 | + | 3.64457i | 0.396508 | + | 0.435610i | ||||
\(71\) | 1.23062 | + | 2.69468i | 0.146048 | + | 0.319800i | 0.968492 | − | 0.249046i | \(-0.0801172\pi\) |
−0.822444 | + | 0.568846i | \(0.807390\pi\) | |||||||
\(72\) | 0.508395 | − | 2.09563i | 0.0599150 | − | 0.246973i | ||||
\(73\) | −2.56933 | + | 13.3309i | −0.300717 | + | 1.56027i | 0.445942 | + | 0.895062i | \(0.352869\pi\) |
−0.746659 | + | 0.665207i | \(0.768343\pi\) | |||||||
\(74\) | −1.43990 | − | 0.0685910i | −0.167385 | − | 0.00797354i | ||||
\(75\) | −0.936251 | − | 4.85773i | −0.108109 | − | 0.560923i | ||||
\(76\) | −0.207272 | − | 1.44161i | −0.0237758 | − | 0.165364i | ||||
\(77\) | −0.402007 | + | 0.195603i | −0.0458130 | + | 0.0222910i | ||||
\(78\) | 1.56786 | − | 1.00760i | 0.177525 | − | 0.114088i | ||||
\(79\) | 2.92807 | − | 3.72335i | 0.329434 | − | 0.418909i | −0.592916 | − | 0.805264i | \(-0.702024\pi\) |
0.922350 | + | 0.386355i | \(0.126266\pi\) | |||||||
\(80\) | 6.36955 | − | 0.608219i | 0.712138 | − | 0.0680009i | ||||
\(81\) | −0.995472 | + | 0.0950560i | −0.110608 | + | 0.0105618i | ||||
\(82\) | −1.23938 | + | 1.57600i | −0.136867 | + | 0.174041i | ||||
\(83\) | −0.880690 | + | 0.565985i | −0.0966682 | + | 0.0621249i | −0.588082 | − | 0.808801i | \(-0.700117\pi\) |
0.491414 | + | 0.870926i | \(0.336480\pi\) | |||||||
\(84\) | 3.61944 | + | 2.44631i | 0.394913 | + | 0.266915i | ||||
\(85\) | −1.11758 | − | 7.77294i | −0.121219 | − | 0.843094i | ||||
\(86\) | 0.724074 | + | 3.75685i | 0.0780789 | + | 0.405112i | ||||
\(87\) | −7.59937 | − | 0.362003i | −0.814738 | − | 0.0388107i | ||||
\(88\) | 0.0689600 | − | 0.357799i | 0.00735116 | − | 0.0381415i | ||||
\(89\) | 3.73347 | − | 15.3896i | 0.395747 | − | 1.63129i | −0.330463 | − | 0.943819i | \(-0.607205\pi\) |
0.726210 | − | 0.687473i | \(-0.241280\pi\) | |||||||
\(90\) | 0.773804 | + | 1.69439i | 0.0815661 | + | 0.178605i | ||||
\(91\) | 1.77994 | + | 8.15695i | 0.186588 | + | 0.855080i | ||||
\(92\) | 6.17087 | − | 4.96262i | 0.643357 | − | 0.517389i | ||||
\(93\) | 2.85198 | − | 4.93977i | 0.295736 | − | 0.512230i | ||||
\(94\) | −1.90861 | − | 1.35911i | −0.196858 | − | 0.140182i | ||||
\(95\) | 2.01337 | + | 1.91975i | 0.206568 | + | 0.196962i | ||||
\(96\) | −5.20794 | + | 1.80249i | −0.531533 | + | 0.183965i | ||||
\(97\) | 2.00388 | + | 1.28781i | 0.203463 | + | 0.130758i | 0.638405 | − | 0.769701i | \(-0.279595\pi\) |
−0.434942 | + | 0.900459i | \(0.643231\pi\) | |||||||
\(98\) | 3.36458 | − | 2.40244i | 0.339874 | − | 0.242683i | ||||
\(99\) | −0.167256 | + | 0.0240478i | −0.0168099 | + | 0.00241690i | ||||
\(100\) | −5.91190 | + | 5.63699i | −0.591190 | + | 0.563699i | ||||
\(101\) | −2.55654 | + | 4.95899i | −0.254385 | + | 0.493438i | −0.981100 | − | 0.193501i | \(-0.938016\pi\) |
0.726715 | + | 0.686939i | \(0.241046\pi\) | |||||||
\(102\) | 0.546548 | + | 1.36521i | 0.0541163 | + | 0.135176i | ||||
\(103\) | 7.34584 | + | 10.3158i | 0.723807 | + | 1.01645i | 0.998491 | + | 0.0549107i | \(0.0174874\pi\) |
−0.274684 | + | 0.961535i | \(0.588573\pi\) | |||||||
\(104\) | −6.18983 | − | 2.82680i | −0.606963 | − | 0.277191i | ||||
\(105\) | −8.32281 | + | 0.600645i | −0.812223 | + | 0.0586170i | ||||
\(106\) | 3.24911 | + | 5.05572i | 0.315582 | + | 0.491055i | ||||
\(107\) | 9.02736 | + | 9.46762i | 0.872708 | + | 0.915269i | 0.997033 | − | 0.0769720i | \(-0.0245252\pi\) |
−0.124326 | + | 0.992241i | \(0.539677\pi\) | |||||||
\(108\) | 1.02069 | + | 1.29792i | 0.0982162 | + | 0.124892i | ||||
\(109\) | 10.2082 | + | 3.53310i | 0.977770 | + | 0.338409i | 0.768784 | − | 0.639509i | \(-0.220862\pi\) |
0.208986 | + | 0.977919i | \(0.432984\pi\) | |||||||
\(110\) | 0.144230 | + | 0.279766i | 0.0137518 | + | 0.0266747i | ||||
\(111\) | 1.59836 | − | 1.84460i | 0.151709 | − | 0.175082i | ||||
\(112\) | 0.124282 | − | 5.36616i | 0.0117435 | − | 0.507055i | ||||
\(113\) | 0.638962 | − | 0.291804i | 0.0601085 | − | 0.0274506i | −0.385134 | − | 0.922861i | \(-0.625845\pi\) |
0.445242 | + | 0.895410i | \(0.353117\pi\) | |||||||
\(114\) | −0.451156 | − | 0.260475i | −0.0422547 | − | 0.0243957i | ||||
\(115\) | −3.40558 | + | 14.7372i | −0.317572 | + | 1.37425i | ||||
\(116\) | 6.28108 | + | 10.8792i | 0.583184 | + | 1.01010i | ||||
\(117\) | −0.299957 | + | 3.14129i | −0.0277311 | + | 0.290413i | ||||
\(118\) | −1.36461 | − | 4.64742i | −0.125622 | − | 0.427830i | ||||
\(119\) | −6.58565 | + | 0.161010i | −0.603706 | + | 0.0147598i | ||||
\(120\) | 3.67698 | − | 5.72149i | 0.335661 | − | 0.522298i | ||||
\(121\) | 10.7732 | − | 2.07636i | 0.979380 | − | 0.188760i | ||||
\(122\) | −4.78957 | + | 3.76656i | −0.433627 | + | 0.341008i | ||||
\(123\) | −0.800339 | − | 3.29904i | −0.0721641 | − | 0.297464i | ||||
\(124\) | −9.40759 | + | 0.448139i | −0.844827 | + | 0.0402441i | ||||
\(125\) | −0.0237287 | + | 0.165037i | −0.00212236 | + | 0.0147613i | ||||
\(126\) | 1.48810 | − | 0.476750i | 0.132570 | − | 0.0424723i | ||||
\(127\) | −5.60444 | + | 12.2720i | −0.497314 | + | 1.08897i | 0.480019 | + | 0.877258i | \(0.340630\pi\) |
−0.977333 | + | 0.211707i | \(0.932098\pi\) | |||||||
\(128\) | 9.03658 | + | 7.10644i | 0.798728 | + | 0.628127i | ||||
\(129\) | −5.75792 | − | 2.96841i | −0.506957 | − | 0.261354i | ||||
\(130\) | 5.71229 | − | 1.38579i | 0.501001 | − | 0.121542i | ||||
\(131\) | −5.26907 | + | 13.1615i | −0.460360 | + | 1.14992i | 0.498713 | + | 0.866767i | \(0.333806\pi\) |
−0.959073 | + | 0.283158i | \(0.908618\pi\) | |||||||
\(132\) | 0.182713 | + | 0.210862i | 0.0159031 | + | 0.0183532i | ||||
\(133\) | 1.79861 | − | 1.48700i | 0.155959 | − | 0.128940i | ||||
\(134\) | −6.21912 | − | 5.38889i | −0.537250 | − | 0.465530i | ||||
\(135\) | −3.06500 | − | 0.743562i | −0.263794 | − | 0.0639956i | ||||
\(136\) | 3.11446 | − | 4.37365i | 0.267063 | − | 0.375038i | ||||
\(137\) | 1.04778 | − | 0.604938i | 0.0895181 | − | 0.0516833i | −0.454573 | − | 0.890710i | \(-0.650208\pi\) |
0.544091 | + | 0.839026i | \(0.316875\pi\) | |||||||
\(138\) | −0.0308708 | − | 2.83229i | −0.00262790 | − | 0.241101i | ||||
\(139\) | − | 17.2370i | − | 1.46202i | −0.682364 | − | 0.731012i | \(-0.739048\pi\) | ||
0.682364 | − | 0.731012i | \(-0.260952\pi\) | |||||||
\(140\) | 8.26407 | + | 11.0247i | 0.698442 | + | 0.931758i | ||||
\(141\) | 3.80651 | − | 1.11769i | 0.320566 | − | 0.0941265i | ||||
\(142\) | −0.572242 | − | 1.65338i | −0.0480215 | − | 0.138749i | ||||
\(143\) | −0.0253715 | + | 0.532614i | −0.00212167 | + | 0.0445394i | ||||
\(144\) | 0.663543 | − | 1.91718i | 0.0552953 | − | 0.159765i | ||||
\(145\) | −22.2761 | − | 8.91800i | −1.84993 | − | 0.740599i | ||||
\(146\) | 2.25901 | − | 7.69348i | 0.186957 | − | 0.636717i | ||||
\(147\) | −0.324070 | + | 6.99249i | −0.0267288 | + | 0.576731i | ||||
\(148\) | −3.98912 | − | 0.573548i | −0.327903 | − | 0.0471454i | ||||
\(149\) | −2.81672 | + | 2.00577i | −0.230754 | + | 0.164319i | −0.689586 | − | 0.724204i | \(-0.742207\pi\) |
0.458832 | + | 0.888523i | \(0.348268\pi\) | |||||||
\(150\) | 0.277737 | + | 2.90859i | 0.0226771 | + | 0.237485i | ||||
\(151\) | 10.7891 | − | 4.31930i | 0.878004 | − | 0.351500i | 0.111519 | − | 0.993762i | \(-0.464428\pi\) |
0.766485 | + | 0.642263i | \(0.222004\pi\) | |||||||
\(152\) | 0.0905048 | + | 1.89993i | 0.00734091 | + | 0.154105i | ||||
\(153\) | −2.38903 | − | 0.701482i | −0.193141 | − | 0.0567114i | ||||
\(154\) | 0.247335 | − | 0.0924328i | 0.0199308 | − | 0.00744844i | ||||
\(155\) | 13.5957 | − | 11.7808i | 1.09204 | − | 0.946255i | ||||
\(156\) | 4.63122 | − | 2.38756i | 0.370795 | − | 0.191158i | ||||
\(157\) | 7.02367 | + | 1.35370i | 0.560550 | + | 0.108037i | 0.461653 | − | 0.887061i | \(-0.347257\pi\) |
0.0988967 | + | 0.995098i | \(0.468469\pi\) | |||||||
\(158\) | −1.93055 | + | 2.02470i | −0.153586 | + | 0.161076i | ||||
\(159\) | −10.1294 | − | 0.967244i | −0.803316 | − | 0.0767074i | ||||
\(160\) | −17.3813 | −1.37411 | ||||||||
\(161\) | 11.9390 | + | 4.29668i | 0.940921 | + | 0.338626i | ||||
\(162\) | 0.590609 | 0.0464026 | ||||||||
\(163\) | 2.31896 | + | 0.221434i | 0.181635 | + | 0.0173440i | 0.185477 | − | 0.982649i | \(-0.440617\pi\) |
−0.00384214 | + | 0.999993i | \(0.501223\pi\) | |||||||
\(164\) | −3.86811 | + | 4.05676i | −0.302049 | + | 0.316780i | ||||
\(165\) | −0.523304 | − | 0.100859i | −0.0407392 | − | 0.00785183i | ||||
\(166\) | 0.549563 | − | 0.283319i | 0.0426543 | − | 0.0219898i | ||||
\(167\) | 1.62517 | − | 1.40821i | 0.125759 | − | 0.108971i | −0.589711 | − | 0.807615i | \(-0.700758\pi\) |
0.715470 | + | 0.698644i | \(0.246213\pi\) | |||||||
\(168\) | −4.40185 | − | 3.62971i | −0.339610 | − | 0.280038i | ||||
\(169\) | −2.91906 | − | 0.857114i | −0.224543 | − | 0.0659318i | ||||
\(170\) | 0.220684 | + | 4.63272i | 0.0169257 | + | 0.355313i | ||||
\(171\) | 0.818873 | − | 0.327827i | 0.0626208 | − | 0.0250696i | ||||
\(172\) | 1.01676 | + | 10.6480i | 0.0775273 | + | 0.811902i | ||||
\(173\) | 12.6945 | − | 9.03973i | 0.965147 | − | 0.687278i | 0.0152639 | − | 0.999884i | \(-0.495141\pi\) |
0.949883 | + | 0.312605i | \(0.101202\pi\) | |||||||
\(174\) | 4.44761 | + | 0.639469i | 0.337172 | + | 0.0484781i | ||||
\(175\) | −12.6451 | − | 3.37951i | −0.955878 | − | 0.255467i | ||||
\(176\) | 0.0965814 | − | 0.328926i | 0.00728010 | − | 0.0247937i | ||||
\(177\) | 7.61360 | + | 3.04803i | 0.572273 | + | 0.229104i | ||||
\(178\) | −3.05902 | + | 8.83846i | −0.229283 | + | 0.662471i | ||||
\(179\) | −0.906770 | + | 19.0355i | −0.0677752 | + | 1.42278i | 0.667299 | + | 0.744790i | \(0.267450\pi\) |
−0.735074 | + | 0.677987i | \(0.762853\pi\) | |||||||
\(180\) | 1.70326 | + | 4.92126i | 0.126954 | + | 0.366809i | ||||
\(181\) | −13.5096 | + | 3.96678i | −1.00416 | + | 0.294848i | −0.742162 | − | 0.670220i | \(-0.766200\pi\) |
−0.261998 | + | 0.965068i | \(0.584382\pi\) | |||||||
\(182\) | −0.588547 | − | 4.89568i | −0.0436260 | − | 0.362892i | ||||
\(183\) | − | 10.3168i | − | 0.762639i | ||||||
\(184\) | −8.63864 | + | 5.68570i | −0.636849 | + | 0.419156i | ||||
\(185\) | 6.66660 | − | 3.84897i | 0.490139 | − | 0.282982i | ||||
\(186\) | −1.95410 | + | 2.74415i | −0.143281 | + | 0.201211i | ||||
\(187\) | −0.408871 | − | 0.0991911i | −0.0298996 | − | 0.00725358i | ||||
\(188\) | −4.95059 | − | 4.28971i | −0.361059 | − | 0.312860i | ||||
\(189\) | −0.922999 | + | 2.47953i | −0.0671383 | + | 0.180359i | ||||
\(190\) | −1.07596 | − | 1.24172i | −0.0780580 | − | 0.0900838i | ||||
\(191\) | 0.832304 | − | 2.07900i | 0.0602234 | − | 0.150431i | −0.895204 | − | 0.445656i | \(-0.852970\pi\) |
0.955428 | + | 0.295225i | \(0.0953947\pi\) | |||||||
\(192\) | −0.780027 | + | 0.189233i | −0.0562936 | + | 0.0136567i | ||||
\(193\) | 8.98494 | + | 4.63206i | 0.646750 | + | 0.333423i | 0.750199 | − | 0.661212i | \(-0.229958\pi\) |
−0.103449 | + | 0.994635i | \(0.532988\pi\) | |||||||
\(194\) | −1.10585 | − | 0.869650i | −0.0793954 | − | 0.0624372i | ||||
\(195\) | −4.13438 | + | 9.05304i | −0.296069 | + | 0.648301i | ||||
\(196\) | 10.0023 | − | 5.79202i | 0.714450 | − | 0.413716i | ||||
\(197\) | 0.622609 | − | 4.33034i | 0.0443591 | − | 0.308524i | −0.955547 | − | 0.294838i | \(-0.904734\pi\) |
0.999906 | − | 0.0136861i | \(-0.00435656\pi\) | |||||||
\(198\) | 0.0996857 | − | 0.00474862i | 0.00708436 | − | 0.000337470i | ||||
\(199\) | −4.10211 | − | 16.9091i | −0.290791 | − | 1.19866i | −0.910395 | − | 0.413741i | \(-0.864222\pi\) |
0.619604 | − | 0.784915i | \(-0.287293\pi\) | |||||||
\(200\) | 8.38569 | − | 6.59458i | 0.592958 | − | 0.466307i | ||||
\(201\) | 13.6814 | − | 2.63688i | 0.965012 | − | 0.185991i | ||||
\(202\) | 1.78148 | − | 2.77204i | 0.125344 | − | 0.195040i | ||||
\(203\) | −9.63535 | + | 17.6729i | −0.676269 | + | 1.24039i | ||||
\(204\) | 1.15827 | + | 3.94472i | 0.0810954 | + | 0.276186i | ||||
\(205\) | 1.01773 | − | 10.6582i | 0.0710816 | − | 0.744401i | ||||
\(206\) | −3.73974 | − | 6.47741i | −0.260560 | − | 0.451303i | ||||
\(207\) | 3.80187 | + | 2.92332i | 0.264248 | + | 0.203185i | ||||
\(208\) | −5.54423 | − | 3.20096i | −0.384423 | − | 0.221947i | ||||
\(209\) | 0.135578 | − | 0.0619162i | 0.00937809 | − | 0.00428283i | ||||
\(210\) | 4.92699 | + | 0.114110i | 0.339994 | + | 0.00787436i | ||||
\(211\) | 14.6437 | − | 16.8997i | 1.00811 | − | 1.16343i | 0.0215973 | − | 0.999767i | \(-0.493125\pi\) |
0.986517 | − | 0.163659i | \(-0.0523297\pi\) | |||||||
\(212\) | 7.69894 | + | 14.9339i | 0.528766 | + | 1.02566i | ||||
\(213\) | 2.79946 | + | 0.968902i | 0.191816 | + | 0.0663881i | ||||
\(214\) | −4.77597 | − | 6.07315i | −0.326479 | − | 0.415152i | ||||
\(215\) | −14.0991 | − | 14.7867i | −0.961552 | − | 1.00845i | ||||
\(216\) | −1.16585 | − | 1.81410i | −0.0793259 | − | 0.123434i | ||||
\(217\) | −8.46680 | − | 12.4924i | −0.574764 | − | 0.848036i | ||||
\(218\) | −5.80341 | − | 2.65033i | −0.393057 | − | 0.179503i | ||||
\(219\) | 7.87502 | + | 11.0589i | 0.532144 | + | 0.747292i | ||||
\(220\) | 0.327053 | + | 0.816938i | 0.0220499 | + | 0.0550780i | ||||
\(221\) | −3.60030 | + | 6.98362i | −0.242183 | + | 0.469769i | ||||
\(222\) | −1.04329 | + | 0.994773i | −0.0700209 | + | 0.0667648i | ||||
\(223\) | −16.8152 | + | 2.41766i | −1.12603 | + | 0.161899i | −0.680065 | − | 0.733151i | \(-0.738049\pi\) |
−0.445965 | + | 0.895050i | \(0.647140\pi\) | |||||||
\(224\) | −1.72170 | + | 14.4788i | −0.115036 | + | 0.967409i | ||||
\(225\) | −4.16179 | − | 2.67462i | −0.277453 | − | 0.178308i | ||||
\(226\) | −0.392050 | + | 0.135690i | −0.0260788 | + | 0.00902596i | ||||
\(227\) | −9.83187 | − | 9.37467i | −0.652564 | − | 0.622218i | 0.289689 | − | 0.957121i | \(-0.406448\pi\) |
−0.942253 | + | 0.334902i | \(0.891297\pi\) | |||||||
\(228\) | −1.18638 | − | 0.844816i | −0.0785698 | − | 0.0559493i | ||||
\(229\) | −10.2204 | + | 17.7023i | −0.675384 | + | 1.16980i | 0.300972 | + | 0.953633i | \(0.402689\pi\) |
−0.976356 | + | 0.216167i | \(0.930644\pi\) | |||||||
\(230\) | 2.82962 | − | 8.47334i | 0.186580 | − | 0.558715i | ||||
\(231\) | −0.135852 | + | 0.425928i | −0.00893842 | + | 0.0280240i | ||||
\(232\) | −6.81530 | − | 14.9234i | −0.447447 | − | 0.979771i | ||||
\(233\) | 4.82481 | − | 19.8882i | 0.316084 | − | 1.30292i | −0.563082 | − | 0.826401i | \(-0.690385\pi\) |
0.879166 | − | 0.476515i | \(-0.158100\pi\) | |||||||
\(234\) | 0.352710 | − | 1.83004i | 0.0230574 | − | 0.119633i | ||||
\(235\) | 12.4980 | + | 0.595354i | 0.815281 | + | 0.0388366i | ||||
\(236\) | −2.56273 | − | 13.2967i | −0.166820 | − | 0.865543i | ||||
\(237\) | −0.674112 | − | 4.68855i | −0.0437883 | − | 0.304554i | ||||
\(238\) | 3.88097 | + | 0.275061i | 0.251566 | + | 0.0178296i | ||||
\(239\) | 9.67237 | − | 6.21605i | 0.625654 | − | 0.402083i | −0.189044 | − | 0.981969i | \(-0.560539\pi\) |
0.814698 | + | 0.579885i | \(0.196903\pi\) | |||||||
\(240\) | 3.95531 | − | 5.02958i | 0.255314 | − | 0.324658i | ||||
\(241\) | 20.1689 | − | 1.92590i | 1.29919 | − | 0.124058i | 0.577568 | − | 0.816342i | \(-0.304002\pi\) |
0.721625 | + | 0.692284i | \(0.243396\pi\) | |||||||
\(242\) | −6.45049 | + | 0.615947i | −0.414653 | + | 0.0395946i | ||||
\(243\) | −0.618159 | + | 0.786053i | −0.0396549 | + | 0.0504253i | ||||
\(244\) | −14.3307 | + | 9.20976i | −0.917427 | + | 0.589594i | ||||
\(245\) | −8.17893 | + | 20.5065i | −0.522532 | + | 1.31011i | ||||
\(246\) | 0.285335 | + | 1.98455i | 0.0181923 | + | 0.126530i | ||||
\(247\) | −0.526763 | − | 2.73310i | −0.0335171 | − | 0.173903i | ||||
\(248\) | 12.2862 | + | 0.585263i | 0.780174 | + | 0.0371642i | ||||
\(249\) | −0.198123 | + | 1.02796i | −0.0125555 | + | 0.0651443i | ||||
\(250\) | 0.0232162 | − | 0.0956987i | 0.00146832 | − | 0.00605252i | ||||
\(251\) | 3.37324 | + | 7.38636i | 0.212917 | + | 0.466223i | 0.985713 | − | 0.168431i | \(-0.0538700\pi\) |
−0.772797 | + | 0.634654i | \(0.781143\pi\) | |||||||
\(252\) | 4.26818 | − | 0.931364i | 0.268870 | − | 0.0586704i | ||||
\(253\) | 0.665201 | + | 0.462845i | 0.0418208 | + | 0.0290988i | ||||
\(254\) | 3.98401 | − | 6.90050i | 0.249979 | − | 0.432976i | ||||
\(255\) | −6.39676 | − | 4.55511i | −0.400581 | − | 0.285252i | ||||
\(256\) | −3.75214 | − | 3.57766i | −0.234509 | − | 0.223604i | ||||
\(257\) | −5.88047 | + | 2.03525i | −0.366814 | + | 0.126956i | −0.504256 | − | 0.863554i | \(-0.668233\pi\) |
0.137442 | + | 0.990510i | \(0.456112\pi\) | |||||||
\(258\) | 3.21863 | + | 2.06849i | 0.200383 | + | 0.128778i | ||||
\(259\) | −2.54587 | − | 5.93462i | −0.158193 | − | 0.368759i | ||||
\(260\) | 16.2660 | − | 2.33869i | 1.00877 | − | 0.145040i | ||||
\(261\) | −5.50616 | + | 5.25011i | −0.340823 | + | 0.324974i | ||||
\(262\) | 3.83676 | − | 7.44228i | 0.237036 | − | 0.459786i | ||||
\(263\) | −11.3819 | − | 28.4305i | −0.701836 | − | 1.75310i | −0.656737 | − | 0.754120i | \(-0.728064\pi\) |
−0.0450999 | − | 0.998982i | \(-0.514361\pi\) | |||||||
\(264\) | −0.211363 | − | 0.296818i | −0.0130085 | − | 0.0182679i | ||||
\(265\) | −29.1925 | − | 13.3318i | −1.79328 | − | 0.818963i | ||||
\(266\) | −1.14095 | + | 0.773286i | −0.0699558 | + | 0.0474132i | ||||
\(267\) | −8.56157 | − | 13.3221i | −0.523960 | − | 0.815297i | ||||
\(268\) | −15.8761 | − | 16.6504i | −0.969788 | − | 1.01708i | ||||
\(269\) | −16.6959 | − | 21.2306i | −1.01797 | − | 1.29445i | −0.955053 | − | 0.296435i | \(-0.904202\pi\) |
−0.0629171 | − | 0.998019i | \(-0.520040\pi\) | |||||||
\(270\) | 1.76028 | + | 0.609238i | 0.107127 | + | 0.0370770i | ||||
\(271\) | 12.9931 | + | 25.2031i | 0.789275 | + | 1.53098i | 0.846361 | + | 0.532610i | \(0.178789\pi\) |
−0.0570862 | + | 0.998369i | \(0.518181\pi\) | |||||||
\(272\) | 3.30795 | − | 3.81758i | 0.200574 | − | 0.231475i | ||||
\(273\) | 7.13176 | + | 4.34074i | 0.431633 | + | 0.262713i | ||||
\(274\) | −0.649989 | + | 0.296840i | −0.0392673 | + | 0.0179328i | ||||
\(275\) | −0.723952 | − | 0.417974i | −0.0436559 | − | 0.0252048i | ||||
\(276\) | 0.666768 | − | 7.89067i | 0.0401347 | − | 0.474962i | ||||
\(277\) | −13.6749 | − | 23.6856i | −0.821643 | − | 1.42313i | −0.904458 | − | 0.426563i | \(-0.859724\pi\) |
0.0828146 | − | 0.996565i | \(-0.473609\pi\) | |||||||
\(278\) | −0.967702 | + | 10.1342i | −0.0580389 | + | 0.607811i | ||||
\(279\) | −1.60699 | − | 5.47290i | −0.0962079 | − | 0.327654i | ||||
\(280\) | −9.37527 | − | 15.3588i | −0.560279 | − | 0.917866i | ||||
\(281\) | −1.39732 | + | 2.17427i | −0.0833570 | + | 0.129706i | −0.880429 | − | 0.474179i | \(-0.842745\pi\) |
0.797072 | + | 0.603885i | \(0.206381\pi\) | |||||||
\(282\) | −2.30072 | + | 0.443428i | −0.137006 | + | 0.0264058i | ||||
\(283\) | −4.48124 | + | 3.52408i | −0.266382 | + | 0.209485i | −0.742411 | − | 0.669944i | \(-0.766318\pi\) |
0.476029 | + | 0.879429i | \(0.342076\pi\) | |||||||
\(284\) | −1.15320 | − | 4.75356i | −0.0684299 | − | 0.282072i | ||||
\(285\) | 2.77878 | − | 0.132369i | 0.164600 | − | 0.00784088i | ||||
\(286\) | 0.0448183 | − | 0.311718i | 0.00265016 | − | 0.0184323i | ||||
\(287\) | −8.77759 | − | 1.90353i | −0.518125 | − | 0.112362i | ||||
\(288\) | −2.28937 | + | 5.01302i | −0.134902 | + | 0.295395i | ||||
\(289\) | 8.48974 | + | 6.67641i | 0.499397 | + | 0.392730i | ||||
\(290\) | 12.5962 | + | 6.49380i | 0.739675 | + | 0.381329i | ||||
\(291\) | 2.31487 | − | 0.561581i | 0.135700 | − | 0.0329205i | ||||
\(292\) | 8.33152 | − | 20.8111i | 0.487566 | − | 1.21788i | ||||
\(293\) | −10.2182 | − | 11.7924i | −0.596953 | − | 0.688921i | 0.374208 | − | 0.927345i | \(-0.377915\pi\) |
−0.971161 | + | 0.238424i | \(0.923369\pi\) | |||||||
\(294\) | 0.583097 | − | 4.09294i | 0.0340069 | − | 0.238705i | ||||
\(295\) | 19.5478 | + | 16.9382i | 1.13811 | + | 0.986182i | ||||
\(296\) | 5.11494 | + | 1.24087i | 0.297300 | + | 0.0721241i | ||||
\(297\) | −0.0980158 | + | 0.137644i | −0.00568745 | + | 0.00798691i | ||||
\(298\) | 1.76865 | − | 1.02113i | 0.102455 | − | 0.0591525i | ||||
\(299\) | 11.3286 | − | 10.0345i | 0.655147 | − | 0.580310i | ||||
\(300\) | 8.16862i | 0.471615i | ||||||||
\(301\) | −13.7141 | + | 10.2800i | −0.790468 | + | 0.592531i | ||||
\(302\) | −6.58577 | + | 1.93376i | −0.378968 | + | 0.111275i | ||||
\(303\) | 1.82478 | + | 5.27235i | 0.104831 | + | 0.302889i | ||||
\(304\) | −0.0851470 | + | 1.78746i | −0.00488352 | + | 0.102518i | ||||
\(305\) | 10.6422 | − | 30.7486i | 0.609371 | − | 1.76066i | ||||
\(306\) | 1.36521 | + | 0.546548i | 0.0780439 | + | 0.0312440i | ||||
\(307\) | −0.988508 | + | 3.36655i | −0.0564171 | + | 0.192139i | −0.982880 | − | 0.184247i | \(-0.941015\pi\) |
0.926463 | + | 0.376386i | \(0.122833\pi\) | |||||||
\(308\) | 0.712915 | − | 0.191517i | 0.0406221 | − | 0.0109127i | ||||
\(309\) | 12.5351 | + | 1.80228i | 0.713097 | + | 0.102528i | ||||
\(310\) | −8.65479 | + | 6.16305i | −0.491559 | + | 0.350038i | ||||
\(311\) | −1.14942 | − | 12.0373i | −0.0651777 | − | 0.682572i | −0.967730 | − | 0.251991i | \(-0.918915\pi\) |
0.902552 | − | 0.430581i | \(-0.141691\pi\) | |||||||
\(312\) | −6.31732 | + | 2.52907i | −0.357648 | + | 0.143181i | ||||
\(313\) | 0.340644 | + | 7.15101i | 0.0192544 | + | 0.404199i | 0.987836 | + | 0.155502i | \(0.0496994\pi\) |
−0.968581 | + | 0.248697i | \(0.919998\pi\) | |||||||
\(314\) | −4.05346 | − | 1.19020i | −0.228750 | − | 0.0671670i | ||||
\(315\) | −5.30869 | + | 6.43799i | −0.299111 | + | 0.362740i | ||||
\(316\) | −5.91091 | + | 5.12183i | −0.332515 | + | 0.288126i | ||||
\(317\) | −20.7979 | + | 10.7220i | −1.16812 | + | 0.602210i | −0.929471 | − | 0.368895i | \(-0.879736\pi\) |
−0.238653 | + | 0.971105i | \(0.576706\pi\) | |||||||
\(318\) | 5.90114 | + | 1.13735i | 0.330920 | + | 0.0637795i | ||||
\(319\) | −0.887143 | + | 0.930409i | −0.0496705 | + | 0.0520929i | ||||
\(320\) | −2.52003 | − | 0.240634i | −0.140874 | − | 0.0134518i | ||||
\(321\) | 13.0816 | 0.730145 | ||||||||
\(322\) | −6.77810 | − | 3.19643i | −0.377729 | − | 0.178130i | ||||
\(323\) | 2.19622 | 0.122201 | ||||||||
\(324\) | 1.64370 | + | 0.156955i | 0.0913169 | + | 0.00871971i | ||||
\(325\) | −10.7729 | + | 11.2983i | −0.597572 | + | 0.626716i | ||||
\(326\) | −1.35097 | − | 0.260377i | −0.0748230 | − | 0.0144210i | ||||
\(327\) | 9.60150 | − | 4.94992i | 0.530964 | − | 0.273731i | ||||
\(328\) | 5.53244 | − | 4.79389i | 0.305478 | − | 0.264698i | ||||
\(329\) | 1.73393 | − | 10.3520i | 0.0955945 | − | 0.570726i | ||||
\(330\) | 0.302006 | + | 0.0886771i | 0.0166249 | + | 0.00488151i | ||||
\(331\) | −0.334071 | − | 7.01301i | −0.0183622 | − | 0.385470i | −0.989278 | − | 0.146047i | \(-0.953345\pi\) |
0.970915 | − | 0.239423i | \(-0.0769582\pi\) | |||||||
\(332\) | 1.60476 | − | 0.642450i | 0.0880728 | − | 0.0352590i | ||||
\(333\) | −0.232009 | − | 2.42971i | −0.0127140 | − | 0.133147i | ||||
\(334\) | −1.03455 | + | 0.736699i | −0.0566080 | + | 0.0403104i | ||||
\(335\) | 43.4967 | + | 6.25389i | 2.37648 | + | 0.341686i | ||||
\(336\) | −3.79791 | − | 3.79302i | −0.207193 | − | 0.206926i | ||||
\(337\) | −6.17820 | + | 21.0410i | −0.336548 | + | 1.14618i | 0.601268 | + | 0.799047i | \(0.294662\pi\) |
−0.937817 | + | 0.347131i | \(0.887156\pi\) | |||||||
\(338\) | 1.66810 | + | 0.667806i | 0.0907326 | + | 0.0363238i | ||||
\(339\) | 0.229746 | − | 0.663807i | 0.0124781 | − | 0.0360530i | ||||
\(340\) | −0.616971 | + | 12.9518i | −0.0334600 | + | 0.702411i | ||||
\(341\) | −0.315239 | − | 0.910822i | −0.0170711 | − | 0.0493238i | ||||
\(342\) | −0.499848 | + | 0.146769i | −0.0270287 | + | 0.00793634i | ||||
\(343\) | 16.2720 | + | 8.84440i | 0.878603 | + | 0.477553i | ||||
\(344\) | − | 13.9694i | − | 0.753179i | ||||||
\(345\) | 8.31572 | + | 12.6346i | 0.447703 | + | 0.680224i | ||||
\(346\) | −7.97105 | + | 4.60209i | −0.428526 | + | 0.247410i | ||||
\(347\) | −17.1193 | + | 24.0407i | −0.919014 | + | 1.29057i | 0.0376227 | + | 0.999292i | \(0.488021\pi\) |
−0.956637 | + | 0.291283i | \(0.905918\pi\) | |||||||
\(348\) | 12.2081 | + | 2.96164i | 0.654420 | + | 0.158761i | ||||
\(349\) | 2.03234 | + | 1.76103i | 0.108789 | + | 0.0942660i | 0.707557 | − | 0.706657i | \(-0.249797\pi\) |
−0.598768 | + | 0.800923i | \(0.704343\pi\) | |||||||
\(350\) | 7.24475 | + | 2.69684i | 0.387248 | + | 0.144152i | ||||
\(351\) | 2.06647 | + | 2.38483i | 0.110300 | + | 0.127293i | ||||
\(352\) | −0.346105 | + | 0.864529i | −0.0184475 | + | 0.0460795i | ||||
\(353\) | −5.63486 | + | 1.36700i | −0.299913 | + | 0.0727582i | −0.382892 | − | 0.923793i | \(-0.625072\pi\) |
0.0829785 | + | 0.996551i | \(0.473557\pi\) | |||||||
\(354\) | −4.30518 | − | 2.21948i | −0.228818 | − | 0.117964i | ||||
\(355\) | 7.34417 | + | 5.77552i | 0.389788 | + | 0.306533i | ||||
\(356\) | −10.8623 | + | 23.7851i | −0.575700 | + | 1.26061i | ||||
\(357\) | −4.42809 | + | 4.87737i | −0.234359 | + | 0.258138i | ||||
\(358\) | 1.60179 | − | 11.1407i | 0.0846572 | − | 0.588804i | ||||
\(359\) | 2.43972 | − | 0.116218i | 0.128764 | − | 0.00613377i | 0.0168988 | − | 0.999857i | \(-0.494621\pi\) |
0.111865 | + | 0.993723i | \(0.464318\pi\) | |||||||
\(360\) | −1.60343 | − | 6.60944i | −0.0845083 | − | 0.348348i | ||||
\(361\) | 14.3234 | − | 11.2641i | 0.753865 | − | 0.592846i | ||||
\(362\) | 8.16546 | − | 1.57376i | 0.429167 | − | 0.0827152i | ||||
\(363\) | 5.93161 | − | 9.22977i | 0.311329 | − | 0.484437i | ||||
\(364\) | −0.336937 | − | 13.7814i | −0.0176603 | − | 0.722342i | ||||
\(365\) | 12.0633 | + | 41.0839i | 0.631423 | + | 2.15043i | ||||
\(366\) | −0.579194 | + | 6.06560i | −0.0302750 | + | 0.317054i | ||||
\(367\) | 10.1383 | + | 17.5600i | 0.529215 | + | 0.916627i | 0.999419 | + | 0.0340694i | \(0.0108467\pi\) |
−0.470205 | + | 0.882557i | \(0.655820\pi\) | |||||||
\(368\) | −8.59891 | + | 4.55235i | −0.448249 | + | 0.237308i | ||||
\(369\) | −2.93992 | − | 1.69737i | −0.153046 | − | 0.0883614i | ||||
\(370\) | −4.13561 | + | 1.88867i | −0.215000 | + | 0.0981873i | ||||
\(371\) | −13.9972 | + | 22.9971i | −0.726696 | + | 1.19395i | ||||
\(372\) | −6.16765 | + | 7.11785i | −0.319778 | + | 0.369043i | ||||
\(373\) | 7.32575 | + | 14.2100i | 0.379313 | + | 0.735765i | 0.998786 | − | 0.0492529i | \(-0.0156840\pi\) |
−0.619473 | + | 0.785018i | \(0.712654\pi\) | |||||||
\(374\) | 0.234821 | + | 0.0812723i | 0.0121423 | + | 0.00420249i | ||||
\(375\) | 0.103068 | + | 0.131062i | 0.00532241 | + | 0.00676800i | ||||
\(376\) | 5.90360 | + | 6.19152i | 0.304455 | + | 0.319303i | ||||
\(377\) | 12.9795 | + | 20.1965i | 0.668478 | + | 1.04017i | ||||
\(378\) | 0.681866 | − | 1.40598i | 0.0350714 | − | 0.0723160i | ||||
\(379\) | 2.55632 | + | 1.16743i | 0.131309 | + | 0.0599670i | 0.479986 | − | 0.877276i | \(-0.340642\pi\) |
−0.348677 | + | 0.937243i | \(0.613369\pi\) | |||||||
\(380\) | −2.66447 | − | 3.74173i | −0.136684 | − | 0.191946i | ||||
\(381\) | 5.01417 | + | 12.5248i | 0.256884 | + | 0.641664i | ||||
\(382\) | −0.606057 | + | 1.17559i | −0.0310086 | + | 0.0601482i | ||||
\(383\) | −26.8220 | + | 25.5748i | −1.37054 | + | 1.30681i | −0.463300 | + | 0.886201i | \(0.653335\pi\) |
−0.907242 | + | 0.420608i | \(0.861817\pi\) | |||||||
\(384\) | 11.3791 | − | 1.63607i | 0.580689 | − | 0.0834904i | ||||
\(385\) | −0.844263 | + | 1.12932i | −0.0430276 | + | 0.0575554i | ||||
\(386\) | −5.02251 | − | 3.22777i | −0.255639 | − | 0.164289i | ||||
\(387\) | −6.12176 | + | 2.11876i | −0.311187 | + | 0.107703i | ||||
\(388\) | −2.84654 | − | 2.71417i | −0.144511 | − | 0.137791i | ||||
\(389\) | 20.8512 | + | 14.8481i | 1.05720 | + | 0.752827i | 0.969936 | − | 0.243359i | \(-0.0782492\pi\) |
0.0872610 | + | 0.996185i | \(0.472189\pi\) | |||||||
\(390\) | 2.93899 | − | 5.09048i | 0.148822 | − | 0.257767i | ||||
\(391\) | 6.08289 | + | 10.2756i | 0.307625 | + | 0.519659i | ||||
\(392\) | −13.7228 | + | 6.28834i | −0.693104 | + | 0.317609i | ||||
\(393\) | 5.88935 | + | 12.8959i | 0.297078 | + | 0.650511i | ||||
\(394\) | −0.609163 | + | 2.51100i | −0.0306892 | + | 0.126502i | ||||
\(395\) | 2.82728 | − | 14.6693i | 0.142256 | − | 0.738095i | ||||
\(396\) | 0.278694 | + | 0.0132758i | 0.0140049 | + | 0.000667136i | ||||
\(397\) | 3.67410 | + | 19.0630i | 0.184398 | + | 0.956747i | 0.949720 | + | 0.313100i | \(0.101367\pi\) |
−0.765322 | + | 0.643647i | \(0.777421\pi\) | |||||||
\(398\) | 1.46248 | + | 10.1717i | 0.0733073 | + | 0.509864i | ||||
\(399\) | 0.164986 | − | 2.32786i | 0.00825962 | − | 0.116539i | ||||
\(400\) | 8.44329 | − | 5.42617i | 0.422164 | − | 0.271309i | ||||
\(401\) | −6.46310 | + | 8.21850i | −0.322752 | + | 0.410412i | −0.920171 | − | 0.391517i | \(-0.871950\pi\) |
0.597419 | + | 0.801929i | \(0.296193\pi\) | |||||||
\(402\) | −8.19181 | + | 0.782223i | −0.408570 | + | 0.0390137i | ||||
\(403\) | −17.9178 | + | 1.71094i | −0.892549 | + | 0.0852281i | ||||
\(404\) | 5.69465 | − | 7.24134i | 0.283319 | − | 0.360270i | ||||
\(405\) | −2.65324 | + | 1.70513i | −0.131840 | + | 0.0847287i | ||||
\(406\) | 6.65712 | − | 9.84955i | 0.330388 | − | 0.488825i | ||||
\(407\) | −0.0586949 | − | 0.408232i | −0.00290940 | − | 0.0202353i | ||||
\(408\) | −1.01614 | − | 5.27221i | −0.0503062 | − | 0.261013i | ||||
\(409\) | −7.50150 | − | 0.357340i | −0.370925 | − | 0.0176693i | −0.138708 | − | 0.990333i | \(-0.544295\pi\) |
−0.232217 | + | 0.972664i | \(0.574598\pi\) | |||||||
\(410\) | −1.19672 | + | 6.20918i | −0.0591019 | + | 0.306650i | ||||
\(411\) | 0.285239 | − | 1.17577i | 0.0140698 | − | 0.0579965i | ||||
\(412\) | −8.68656 | − | 19.0209i | −0.427956 | − | 0.937093i | ||||
\(413\) | 16.0460 | − | 14.6057i | 0.789574 | − | 0.718700i | ||||
\(414\) | −2.07113 | − | 1.93216i | −0.101790 | − | 0.0949606i | ||||
\(415\) | −1.65088 | + | 2.85940i | −0.0810384 | + | 0.140363i | ||||
\(416\) | 14.1659 | + | 10.0875i | 0.694542 | + | 0.494581i | ||||
\(417\) | −12.4750 | − | 11.8949i | −0.610904 | − | 0.582496i | ||||
\(418\) | −0.0831867 | + | 0.0287912i | −0.00406880 | + | 0.00140822i | ||||
\(419\) | 24.4999 | + | 15.7451i | 1.19690 | + | 0.769200i | 0.978417 | − | 0.206642i | \(-0.0662534\pi\) |
0.218481 | + | 0.975841i | \(0.429890\pi\) | |||||||
\(420\) | 13.6818 | + | 1.62693i | 0.667604 | + | 0.0793859i | ||||
\(421\) | 31.9220 | − | 4.58970i | 1.55579 | − | 0.223688i | 0.689890 | − | 0.723914i | \(-0.257659\pi\) |
0.865895 | + | 0.500226i | \(0.166750\pi\) | |||||||
\(422\) | −9.55831 | + | 9.11383i | −0.465291 | + | 0.443654i | ||||
\(423\) | 1.81788 | − | 3.52619i | 0.0883883 | − | 0.171449i | ||||
\(424\) | −8.15527 | − | 20.3709i | −0.396055 | − | 0.989297i | ||||
\(425\) | −7.14502 | − | 10.0338i | −0.346585 | − | 0.486710i | ||||
\(426\) | −1.59150 | − | 0.726815i | −0.0771086 | − | 0.0352143i | ||||
\(427\) | −24.5598 | − | 11.9109i | −1.18853 | − | 0.576408i | ||||
\(428\) | −11.6779 | − | 18.1712i | −0.564473 | − | 0.878338i | ||||
\(429\) | 0.367963 | + | 0.385908i | 0.0177654 | + | 0.0186318i | ||||
\(430\) | 7.45922 | + | 9.48517i | 0.359716 | + | 0.457415i | ||||
\(431\) | −4.45367 | − | 1.54143i | −0.214526 | − | 0.0742481i | 0.217691 | − | 0.976018i | \(-0.430147\pi\) |
−0.432217 | + | 0.901770i | \(0.642269\pi\) | |||||||
\(432\) | −0.929633 | − | 1.80324i | −0.0447270 | − | 0.0867582i | ||||
\(433\) | −6.61273 | + | 7.63150i | −0.317788 | + | 0.366746i | −0.892059 | − | 0.451918i | \(-0.850740\pi\) |
0.574272 | + | 0.818665i | \(0.305285\pi\) | |||||||
\(434\) | 4.27659 | + | 7.82002i | 0.205283 | + | 0.375373i | ||||
\(435\) | −21.8265 | + | 9.96784i | −1.04650 | + | 0.477921i | ||||
\(436\) | −15.4470 | − | 8.91831i | −0.739775 | − | 0.427109i | ||||
\(437\) | −3.94408 | − | 1.52931i | −0.188671 | − | 0.0731568i | ||||
\(438\) | −4.00914 | − | 6.94403i | −0.191564 | − | 0.331799i | ||||
\(439\) | −1.86446 | + | 19.5255i | −0.0889856 | + | 0.931900i | 0.835198 | + | 0.549950i | \(0.185353\pi\) |
−0.924183 | + | 0.381950i | \(0.875253\pi\) | |||||||
\(440\) | −0.323776 | − | 1.10268i | −0.0154354 | − | 0.0525682i | ||||
\(441\) | 4.83707 | + | 5.05991i | 0.230337 | + | 0.240948i | ||||
\(442\) | 2.50881 | − | 3.90378i | 0.119332 | − | 0.185684i | ||||
\(443\) | 23.0413 | − | 4.44085i | 1.09473 | − | 0.210991i | 0.390243 | − | 0.920712i | \(-0.372391\pi\) |
0.704483 | + | 0.709720i | \(0.251179\pi\) | |||||||
\(444\) | −3.16790 | + | 2.49127i | −0.150342 | + | 0.118230i | ||||
\(445\) | −11.7750 | − | 48.5373i | −0.558190 | − | 2.30089i | ||||
\(446\) | 10.0220 | − | 0.477406i | 0.474555 | − | 0.0226058i | ||||
\(447\) | −0.492109 | + | 3.42270i | −0.0232760 | + | 0.161888i | ||||
\(448\) | −0.450072 | + | 2.07538i | −0.0212639 | + | 0.0980524i | ||||
\(449\) | −9.94899 | + | 21.7853i | −0.469522 | + | 1.02811i | 0.515691 | + | 0.856775i | \(0.327535\pi\) |
−0.985213 | + | 0.171335i | \(0.945192\pi\) | |||||||
\(450\) | 2.29671 | + | 1.80615i | 0.108268 | + | 0.0851427i | ||||
\(451\) | −0.509862 | − | 0.262852i | −0.0240084 | − | 0.0123772i | ||||
\(452\) | −1.12716 | + | 0.273447i | −0.0530172 | + | 0.0128618i | ||||
\(453\) | 4.31930 | − | 10.7891i | 0.202938 | − | 0.506916i | ||||
\(454\) | 5.25419 | + | 6.06366i | 0.246591 | + | 0.284582i | ||||
\(455\) | 16.7782 | + | 20.2940i | 0.786572 | + | 0.951399i | ||||
\(456\) | 1.43750 | + | 1.24560i | 0.0673171 | + | 0.0583306i | ||||
\(457\) | 27.5687 | + | 6.68811i | 1.28961 | + | 0.312856i | 0.821193 | − | 0.570650i | \(-0.193309\pi\) |
0.468418 | + | 0.883507i | \(0.344824\pi\) | |||||||
\(458\) | 7.00276 | − | 9.83400i | 0.327217 | − | 0.459513i | ||||
\(459\) | −2.15630 | + | 1.24494i | −0.100648 | + | 0.0581090i | ||||
\(460\) | 10.1268 | − | 22.8299i | 0.472165 | − | 1.06445i | ||||
\(461\) | − | 25.8924i | − | 1.20593i | −0.797767 | − | 0.602966i | \(-0.793986\pi\) | ||
0.797767 | − | 0.602966i | \(-0.206014\pi\) | |||||||
\(462\) | 0.103784 | − | 0.242791i | 0.00482848 | − | 0.0112957i | ||||
\(463\) | −31.1469 | + | 9.14556i | −1.44752 | + | 0.425030i | −0.908721 | − | 0.417405i | \(-0.862940\pi\) |
−0.538799 | + | 0.842435i | \(0.681122\pi\) | |||||||
\(464\) | −5.04823 | − | 14.5859i | −0.234358 | − | 0.677133i | ||||
\(465\) | 0.855986 | − | 17.9694i | 0.0396954 | − | 0.833309i | ||||
\(466\) | −3.95321 | + | 11.4221i | −0.183129 | + | 0.529117i | ||||
\(467\) | −31.0488 | − | 12.4301i | −1.43677 | − | 0.575195i | −0.482968 | − | 0.875638i | \(-0.660441\pi\) |
−0.953800 | + | 0.300443i | \(0.902866\pi\) | |||||||
\(468\) | 1.46795 | − | 4.99938i | 0.0678560 | − | 0.231096i | ||||
\(469\) | 9.51812 | − | 35.6138i | 0.439506 | − | 1.64449i | ||||
\(470\) | −7.31460 | − | 1.05168i | −0.337397 | − | 0.0485104i | ||||
\(471\) | 5.82661 | − | 4.14911i | 0.268476 | − | 0.191181i | ||||
\(472\) | 1.68106 | + | 17.6049i | 0.0773771 | + | 0.810329i | ||||
\(473\) | −1.01622 | + | 0.406835i | −0.0467261 | + | 0.0187063i | ||||
\(474\) | 0.133114 | + | 2.79440i | 0.00611412 | + | 0.128351i | ||||
\(475\) | 4.18690 | + | 1.22938i | 0.192108 | + | 0.0564080i | ||||
\(476\) | 10.7279 | + | 1.79688i | 0.491713 | + | 0.0823601i | ||||
\(477\) | −7.69014 | + | 6.66354i | −0.352107 | + | 0.305103i | ||||
\(478\) | −6.03570 | + | 3.11162i | −0.276066 | + | 0.142322i | ||||
\(479\) | −12.5732 | − | 2.42328i | −0.574483 | − | 0.110723i | −0.106269 | − | 0.994337i | \(-0.533890\pi\) |
−0.468214 | + | 0.883615i | \(0.655102\pi\) | |||||||
\(480\) | −11.9945 | + | 12.5795i | −0.547471 | + | 0.574171i | ||||
\(481\) | −7.66715 | − | 0.732124i | −0.349592 | − | 0.0333820i | ||||
\(482\) | −11.9661 | −0.545042 | ||||||||
\(483\) | 11.3485 | − | 5.67557i | 0.516373 | − | 0.258248i | ||||
\(484\) | −18.1158 | −0.823448 | ||||||||
\(485\) | 7.47863 | + | 0.714123i | 0.339587 | + | 0.0324266i | ||||
\(486\) | 0.407567 | − | 0.427444i | 0.0184876 | − | 0.0193892i | ||||
\(487\) | 20.6449 | + | 3.97899i | 0.935512 | + | 0.180305i | 0.634155 | − | 0.773206i | \(-0.281348\pi\) |
0.301357 | + | 0.953511i | \(0.402560\pi\) | |||||||
\(488\) | 19.7742 | − | 10.1943i | 0.895137 | − | 0.461475i | ||||
\(489\) | 1.76053 | − | 1.52550i | 0.0796137 | − | 0.0689857i | ||||
\(490\) | 5.95992 | − | 11.5973i | 0.269242 | − | 0.523912i | ||||
\(491\) | 6.65794 | + | 1.95495i | 0.300469 | + | 0.0882255i | 0.428492 | − | 0.903546i | \(-0.359045\pi\) |
−0.128023 | + | 0.991771i | \(0.540863\pi\) | |||||||
\(492\) | 0.266712 | + | 5.59897i | 0.0120243 | + | 0.252421i | ||||
\(493\) | −17.5861 | + | 7.04041i | −0.792038 | + | 0.317084i | ||||
\(494\) | 0.156263 | + | 1.63646i | 0.00703060 | + | 0.0736278i | ||||
\(495\) | −0.434116 | + | 0.309133i | −0.0195121 | + | 0.0138945i | ||||
\(496\) | 11.4542 | + | 1.64686i | 0.514308 | + | 0.0739463i | ||||
\(497\) | 5.53855 | − | 5.54569i | 0.248438 | − | 0.248758i | ||||
\(498\) | 0.174194 | − | 0.593250i | 0.00780581 | − | 0.0265842i | ||||
\(499\) | 5.14999 | + | 2.06174i | 0.230545 | + | 0.0922963i | 0.484059 | − | 0.875035i | \(-0.339162\pi\) |
−0.253514 | + | 0.967332i | \(0.581586\pi\) | |||||||
\(500\) | 0.0900444 | − | 0.260166i | 0.00402691 | − | 0.0116350i | ||||
\(501\) | 0.102320 | − | 2.14797i | 0.00457133 | − | 0.0959641i | ||||
\(502\) | −1.56857 | − | 4.53207i | −0.0700085 | − | 0.202276i | ||||
\(503\) | −20.4917 | + | 6.01691i | −0.913680 | + | 0.268281i | −0.704589 | − | 0.709616i | \(-0.748869\pi\) |
−0.209091 | + | 0.977896i | \(0.567050\pi\) | |||||||
\(504\) | −5.66456 | + | 0.680981i | −0.252320 | + | 0.0303333i | ||||
\(505\) | 17.5963i | 0.783025i | ||||||||
\(506\) | −0.365110 | − | 0.309467i | −0.0162311 | − | 0.0137575i | ||||
\(507\) | −2.63471 | + | 1.52115i | −0.117011 | + | 0.0675566i | ||||
\(508\) | 12.9216 | − | 18.1458i | 0.573302 | − | 0.805090i | ||||
\(509\) | 1.35636 | + | 0.329049i | 0.0601195 | + | 0.0145848i | 0.265706 | − | 0.964054i | \(-0.414395\pi\) |
−0.205586 | + | 0.978639i | \(0.565910\pi\) | |||||||
\(510\) | 3.50515 | + | 3.03723i | 0.155211 | + | 0.134491i | ||||
\(511\) | 35.4183 | − | 5.97933i | 1.56681 | − | 0.264510i | ||||
\(512\) | −13.0516 | − | 15.0623i | −0.576804 | − | 0.665667i | ||||
\(513\) | 0.327827 | − | 0.818873i | 0.0144739 | − | 0.0361541i | ||||
\(514\) | 3.57159 | − | 0.866459i | 0.157536 | − | 0.0382179i | ||||
\(515\) | 35.5011 | + | 18.3021i | 1.56436 | + | 0.806486i | ||||
\(516\) | 8.40797 | + | 6.61210i | 0.370140 | + | 0.291081i | ||||
\(517\) | 0.278479 | − | 0.609784i | 0.0122475 | − | 0.0268183i | ||||
\(518\) | 1.16363 | + | 3.63209i | 0.0511271 | + | 0.159585i | ||||
\(519\) | 2.21786 | − | 15.4256i | 0.0973535 | − | 0.677108i | ||||
\(520\) | −21.4373 | + | 1.02118i | −0.940087 | + | 0.0447819i | ||||
\(521\) | 1.07699 | + | 4.43942i | 0.0471839 | + | 0.194495i | 0.990526 | − | 0.137328i | \(-0.0438515\pi\) |
−0.943342 | + | 0.331823i | \(0.892336\pi\) | |||||||
\(522\) | 3.53201 | − | 2.77760i | 0.154592 | − | 0.121572i | ||||
\(523\) | −13.6831 | + | 2.63720i | −0.598319 | + | 0.115317i | −0.479414 | − | 0.877589i | \(-0.659151\pi\) |
−0.118906 | + | 0.992906i | \(0.537939\pi\) | |||||||
\(524\) | 12.6558 | − | 19.6928i | 0.552870 | − | 0.860282i | ||||
\(525\) | −11.1720 | + | 6.81954i | −0.487585 | + | 0.297629i | ||||
\(526\) | 5.09568 | + | 17.3543i | 0.222182 | + | 0.756683i | ||||
\(527\) | 1.35000 | − | 14.1379i | 0.0588071 | − | 0.615856i | ||||
\(528\) | −0.171406 | − | 0.296884i | −0.00745950 | − | 0.0129202i | ||||
\(529\) | −3.76868 | − | 22.6891i | −0.163856 | − | 0.986484i | ||||
\(530\) | 16.4148 | + | 9.47709i | 0.713014 | + | 0.411659i | ||||
\(531\) | 7.45995 | − | 3.40684i | 0.323734 | − | 0.147844i | ||||
\(532\) | −3.38083 | + | 1.84890i | −0.146578 | + | 0.0801599i | ||||
\(533\) | −7.01511 | + | 8.09586i | −0.303858 | + | 0.350671i | ||||
\(534\) | 4.28573 | + | 8.31316i | 0.185462 | + | 0.359745i | ||||
\(535\) | 38.9891 | + | 13.4943i | 1.68565 | + | 0.583407i | ||||
\(536\) | 18.5731 | + | 23.6176i | 0.802236 | + | 1.02013i | ||||
\(537\) | 13.1509 | + | 13.7922i | 0.567502 | + | 0.595179i | ||||
\(538\) | 8.62422 | + | 13.4195i | 0.371816 | + | 0.578558i | ||||
\(539\) | 0.857107 | + | 0.815145i | 0.0369182 | + | 0.0351108i | ||||
\(540\) | 4.73707 | + | 2.16335i | 0.203851 | + | 0.0930956i | ||||
\(541\) | −18.2081 | − | 25.5698i | −0.782829 | − | 1.09933i | −0.992582 | − | 0.121576i | \(-0.961205\pi\) |
0.209753 | − | 0.977754i | \(-0.432734\pi\) | |||||||
\(542\) | −6.22417 | − | 15.5472i | −0.267351 | − | 0.667810i | ||||
\(543\) | −6.45180 | + | 12.5147i | −0.276873 | + | 0.537059i | ||||
\(544\) | −9.93098 | + | 9.46917i | −0.425787 | + | 0.405988i | ||||
\(545\) | 33.7228 | − | 4.84861i | 1.44453 | − | 0.207691i | ||||
\(546\) | −3.94931 | − | 2.95245i | −0.169015 | − | 0.126353i | ||||
\(547\) | −25.8096 | − | 16.5868i | −1.10354 | − | 0.709200i | −0.143662 | − | 0.989627i | \(-0.545888\pi\) |
−0.959876 | + | 0.280426i | \(0.909524\pi\) | |||||||
\(548\) | −1.88785 | + | 0.653391i | −0.0806450 | + | 0.0279115i | ||||
\(549\) | −7.46661 | − | 7.11940i | −0.318667 | − | 0.303849i | ||||
\(550\) | 0.402171 | + | 0.286385i | 0.0171486 | + | 0.0122115i | ||||
\(551\) | 3.35534 | − | 5.81162i | 0.142942 | − | 0.247583i | ||||
\(552\) | −1.84641 | + | 10.1757i | −0.0785884 | + | 0.433105i | ||||
\(553\) | −11.9397 | − | 3.80823i | −0.507727 | − | 0.161942i | ||||
\(554\) | 6.71020 | + | 14.6933i | 0.285089 | + | 0.624258i | ||||
\(555\) | 1.81486 | − | 7.48094i | 0.0770364 | − | 0.317548i | ||||
\(556\) | −5.38636 | + | 27.9471i | −0.228433 | + | 1.18522i | ||||
\(557\) | −12.3345 | − | 0.587562i | −0.522628 | − | 0.0248958i | −0.215389 | − | 0.976528i | \(-0.569102\pi\) |
−0.307239 | + | 0.951633i | \(0.599405\pi\) | |||||||
\(558\) | 0.637551 | + | 3.30793i | 0.0269897 | + | 0.140036i | ||||
\(559\) | 2.90920 | + | 20.2340i | 0.123046 | + | 0.855805i | ||||
\(560\) | −7.40680 | − | 15.2226i | −0.312994 | − | 0.643272i | ||||
\(561\) | −0.353942 | + | 0.227464i | −0.0149434 | + | 0.00960356i | ||||
\(562\) | 0.943597 | − | 1.19988i | 0.0398032 | − | 0.0506139i | ||||
\(563\) | −28.2606 | + | 2.69856i | −1.19104 | + | 0.113731i | −0.671692 | − | 0.740831i | \(-0.734432\pi\) |
−0.519351 | + | 0.854561i | \(0.673826\pi\) | |||||||
\(564\) | −6.52091 | + | 0.622672i | −0.274580 | + | 0.0262192i | ||||
\(565\) | 1.36949 | − | 1.74145i | 0.0576149 | − | 0.0732633i | ||||
\(566\) | 2.83252 | − | 1.82035i | 0.119060 | − | 0.0765150i | ||||
\(567\) | 1.15758 | + | 2.37908i | 0.0486137 | + | 0.0999119i | ||||
\(568\) | 0.909129 | + | 6.32313i | 0.0381462 | + | 0.265313i | ||||
\(569\) | 1.50327 | + | 7.79971i | 0.0630204 | + | 0.326981i | 0.999733 | − | 0.0231192i | \(-0.00735971\pi\) |
−0.936712 | + | 0.350100i | \(0.886148\pi\) | |||||||
\(570\) | −1.64117 | − | 0.0781785i | −0.0687410 | − | 0.00327454i | ||||
\(571\) | −8.21172 | + | 42.6064i | −0.343650 | + | 1.78302i | 0.239746 | + | 0.970836i | \(0.422936\pi\) |
−0.583395 | + | 0.812188i | \(0.698276\pi\) | |||||||
\(572\) | 0.207572 | − | 0.855622i | 0.00867900 | − | 0.0357753i | ||||
\(573\) | −0.930284 | − | 2.03704i | −0.0388632 | − | 0.0850985i | ||||
\(574\) | 5.05378 | + | 1.61193i | 0.210941 | + | 0.0672808i | ||||
\(575\) | 5.84449 | + | 22.9945i | 0.243732 | + | 0.958937i | ||||
\(576\) | −0.401326 | + | 0.695118i | −0.0167219 | + | 0.0289632i | ||||
\(577\) | −35.8570 | − | 25.5337i | −1.49275 | − | 1.06298i | −0.978718 | − | 0.205209i | \(-0.934212\pi\) |
−0.514030 | − | 0.857772i | \(-0.671848\pi\) | |||||||
\(578\) | −4.61659 | − | 4.40191i | −0.192025 | − | 0.183095i | ||||
\(579\) | 9.55270 | − | 3.30622i | 0.396997 | − | 0.137402i | ||||
\(580\) | 33.3304 | + | 21.4201i | 1.38397 | + | 0.889423i | ||||
\(581\) | 2.21839 | + | 1.65844i | 0.0920343 | + | 0.0688036i | ||||
\(582\) | −1.39252 | + | 0.200214i | −0.0577217 | + | 0.00829913i | ||||
\(583\) | −1.24440 | + | 1.18653i | −0.0515378 | + | 0.0491412i | ||||
\(584\) | −13.4151 | + | 26.0217i | −0.555122 | + | 1.07679i | ||||
\(585\) | 3.69894 | + | 9.23951i | 0.152932 | + | 0.382007i | ||||
\(586\) | 5.34559 | + | 7.50683i | 0.220824 | + | 0.310104i | ||||
\(587\) | −3.96024 | − | 1.80858i | −0.163457 | − | 0.0746481i | 0.332007 | − | 0.943277i | \(-0.392274\pi\) |
−0.495463 | + | 0.868629i | \(0.665002\pi\) | |||||||
\(588\) | 2.71050 | − | 11.2360i | 0.111779 | − | 0.463363i | ||||
\(589\) | 2.72008 | + | 4.23252i | 0.112079 | + | 0.174398i | ||||
\(590\) | −10.5419 | − | 11.0560i | −0.434002 | − | 0.455168i | ||||
\(591\) | −2.70437 | − | 3.43888i | −0.111243 | − | 0.141457i | ||||
\(592\) | 4.67938 | + | 1.61955i | 0.192321 | + | 0.0665631i | ||||
\(593\) | 5.09443 | + | 9.88182i | 0.209203 | + | 0.405798i | 0.969969 | − | 0.243229i | \(-0.0782066\pi\) |
−0.760766 | + | 0.649027i | \(0.775176\pi\) | |||||||
\(594\) | 0.0653543 | − | 0.0754229i | 0.00268152 | − | 0.00309464i | ||||
\(595\) | −18.2289 | + | 9.96897i | −0.747312 | + | 0.408688i | ||||
\(596\) | 5.19364 | − | 2.37186i | 0.212740 | − | 0.0971550i | ||||
\(597\) | −15.0685 | − | 8.69979i | −0.616712 | − | 0.356059i | ||||
\(598\) | −7.22379 | + | 5.26363i | −0.295403 | + | 0.215246i | ||||
\(599\) | −10.8515 | − | 18.7953i | −0.443380 | − | 0.767957i | 0.554558 | − | 0.832145i | \(-0.312888\pi\) |
−0.997938 | + | 0.0641882i | \(0.979554\pi\) | |||||||
\(600\) | 1.01407 | − | 10.6198i | 0.0413991 | − | 0.433551i | ||||
\(601\) | −12.1475 | − | 41.3705i | −0.495506 | − | 1.68754i | −0.704567 | − | 0.709637i | \(-0.748859\pi\) |
0.209061 | − | 0.977903i | \(-0.432959\pi\) | |||||||
\(602\) | 8.64013 | − | 5.27407i | 0.352145 | − | 0.214955i | ||||
\(603\) | 7.53286 | − | 11.7214i | 0.306762 | − | 0.477330i | ||||
\(604\) | −18.8425 | + | 3.63160i | −0.766692 | + | 0.147768i | ||||
\(605\) | 27.1997 | − | 21.3901i | 1.10583 | − | 0.869632i | ||||
\(606\) | −0.776855 | − | 3.20224i | −0.0315576 | − | 0.130082i | ||||
\(607\) | −13.9439 | + | 0.664231i | −0.565967 | + | 0.0269603i | −0.328616 | − | 0.944464i | \(-0.606582\pi\) |
−0.237351 | + | 0.971424i | \(0.576279\pi\) | |||||||
\(608\) | 0.691800 | − | 4.81158i | 0.0280562 | − | 0.195135i | ||||
\(609\) | 6.14130 | + | 19.1691i | 0.248858 | + | 0.776771i | ||||
\(610\) | −7.98318 | + | 17.4807i | −0.323229 | + | 0.707774i | ||||
\(611\) | −9.84048 | − | 7.73864i | −0.398103 | − | 0.313072i | ||||
\(612\) | 3.65423 | + | 1.88388i | 0.147713 | + | 0.0761515i | ||||
\(613\) | 41.0565 | − | 9.96021i | 1.65826 | − | 0.402289i | 0.706153 | − | 0.708060i | \(-0.250429\pi\) |
0.952105 | + | 0.305771i | \(0.0989141\pi\) | |||||||
\(614\) | 0.770179 | − | 1.92381i | 0.0310819 | − | 0.0776388i | ||||
\(615\) | −7.01138 | − | 8.09156i | −0.282726 | − | 0.326283i | ||||
\(616\) | −0.950617 | + | 0.160483i | −0.0383014 | + | 0.00646606i | ||||
\(617\) | −27.6046 | − | 23.9196i | −1.11132 | − | 0.962965i | −0.111795 | − | 0.993731i | \(-0.535660\pi\) |
−0.999527 | + | 0.0307659i | \(0.990205\pi\) | |||||||
\(618\) | −7.26864 | − | 1.76335i | −0.292387 | − | 0.0709324i | ||||
\(619\) | −17.6410 | + | 24.7733i | −0.709052 | + | 0.995725i | 0.290196 | + | 0.956967i | \(0.406279\pi\) |
−0.999249 | + | 0.0387575i | \(0.987660\pi\) | |||||||
\(620\) | −25.7247 | + | 14.8522i | −1.03313 | + | 0.596477i | ||||
\(621\) | 4.73930 | − | 0.734215i | 0.190181 | − | 0.0294630i | ||||
\(622\) | 7.14167i | 0.286355i | ||||||||
\(623\) | −41.5985 | + | 5.00088i | −1.66661 | + | 0.200356i | ||||
\(624\) | −6.14260 | + | 1.80363i | −0.245901 | + | 0.0722030i | ||||
\(625\) | 8.26224 | + | 23.8722i | 0.330490 | + | 0.954887i | ||||
\(626\) | 0.201188 | − | 4.22345i | 0.00804107 | − | 0.168803i | ||||
\(627\) | 0.0487484 | − | 0.140849i | 0.00194682 | − | 0.00562497i | ||||
\(628\) | −10.9648 | − | 4.38963i | −0.437541 | − | 0.175165i | ||||
\(629\) | 1.71215 | − | 5.83104i | 0.0682678 | − | 0.232499i | ||||
\(630\) | 3.48260 | − | 3.48708i | 0.138750 | − | 0.138929i | ||||
\(631\) | 44.1392 | + | 6.34625i | 1.75715 | + | 0.252640i | 0.944126 | − | 0.329586i | \(-0.106909\pi\) |
0.813027 | + | 0.582226i | \(0.197818\pi\) | |||||||
\(632\) | 8.32044 | − | 5.92496i | 0.330969 | − | 0.235682i | ||||
\(633\) | −2.12560 | − | 22.2603i | −0.0844851 | − | 0.884768i | ||||
\(634\) | 12.8297 | − | 5.13625i | 0.509534 | − | 0.203987i | ||||
\(635\) | 2.02461 | + | 42.5018i | 0.0803441 | + | 1.68663i | ||||
\(636\) | 16.1210 | + | 4.73356i | 0.639240 | + | 0.187698i | ||||
\(637\) | 18.5671 | − | 11.9662i | 0.735656 | − | 0.474117i | ||||
\(638\) | 0.573816 | − | 0.497215i | 0.0227176 | − | 0.0196849i | ||||
\(639\) | 2.63307 | − | 1.35744i | 0.104163 | − | 0.0536997i | ||||
\(640\) | 35.6025 | + | 6.86183i | 1.40731 | + | 0.271238i | ||||
\(641\) | −1.19741 | + | 1.25581i | −0.0472950 | + | 0.0496015i | −0.746956 | − | 0.664873i | \(-0.768486\pi\) |
0.699661 | + | 0.714474i | \(0.253334\pi\) | |||||||
\(642\) | −7.69114 | − | 0.734415i | −0.303545 | − | 0.0289850i | ||||
\(643\) | −20.5374 | −0.809916 | −0.404958 | − | 0.914335i | \(-0.632714\pi\) | ||||
−0.404958 | + | 0.914335i | \(0.632714\pi\) | |||||||
\(644\) | −18.0145 | − | 10.6972i | −0.709869 | − | 0.421528i | ||||
\(645\) | −20.4312 | −0.804477 | ||||||||
\(646\) | −1.29123 | − | 0.123298i | −0.0508029 | − | 0.00485109i | ||||
\(647\) | 7.40753 | − | 7.76880i | 0.291220 | − | 0.305423i | −0.561829 | − | 0.827253i | \(-0.689902\pi\) |
0.853049 | + | 0.521830i | \(0.174751\pi\) | |||||||
\(648\) | −2.11745 | − | 0.408105i | −0.0831813 | − | 0.0160319i | ||||
\(649\) | 1.23173 | − | 0.635003i | 0.0483498 | − | 0.0249260i | ||||
\(650\) | 6.96805 | − | 6.03785i | 0.273309 | − | 0.236824i | ||||
\(651\) | −14.8839 | − | 2.49300i | −0.583346 | − | 0.0977083i | ||||
\(652\) | −3.69063 | − | 1.08367i | −0.144536 | − | 0.0424397i | ||||
\(653\) | −1.30183 | − | 27.3288i | −0.0509445 | − | 1.06946i | −0.869155 | − | 0.494539i | \(-0.835337\pi\) |
0.818211 | − | 0.574918i | \(-0.194966\pi\) | |||||||
\(654\) | −5.92295 | + | 2.37119i | −0.231606 | + | 0.0927209i | ||||
\(655\) | 4.25024 | + | 44.5105i | 0.166071 | + | 1.73917i | ||||
\(656\) | 5.61007 | − | 3.99491i | 0.219036 | − | 0.155975i | ||||
\(657\) | 13.4381 | + | 1.93211i | 0.524270 | + | 0.0753787i | ||||
\(658\) | −1.60061 | + | 5.98897i | −0.0623982 | + | 0.233474i | ||||
\(659\) | −9.88720 | + | 33.6727i | −0.385150 | + | 1.31170i | 0.507772 | + | 0.861491i | \(0.330469\pi\) |
−0.892922 | + | 0.450210i | \(0.851349\pi\) | |||||||
\(660\) | 0.816938 | + | 0.327053i | 0.0317993 | + | 0.0127305i | ||||
\(661\) | 1.61083 | − | 4.65418i | 0.0626539 | − | 0.181026i | −0.909329 | − | 0.416077i | \(-0.863405\pi\) |
0.971983 | + | 0.235051i | \(0.0755257\pi\) | |||||||
\(662\) | −0.197305 | + | 4.14195i | −0.00766849 | + | 0.160981i | ||||
\(663\) | 2.56979 | + | 7.42491i | 0.0998022 | + | 0.288360i | ||||
\(664\) | −2.16606 | + | 0.636013i | −0.0840595 | + | 0.0246821i | ||||
\(665\) | 2.89302 | − | 6.76788i | 0.112187 | − | 0.262447i | ||||
\(666\) | 1.44153i | 0.0558583i | ||||||||
\(667\) | 36.4844 | − | 0.397666i | 1.41268 | − | 0.0153977i | ||||
\(668\) | −3.07500 | + | 1.77535i | −0.118975 | + | 0.0686904i | ||||
\(669\) | −9.85409 | + | 13.8381i | −0.380981 | + | 0.535013i | ||||
\(670\) | −25.2221 | − | 6.11882i | −0.974416 | − | 0.236391i | ||||
\(671\) | −1.31749 | − | 1.14161i | −0.0508612 | − | 0.0440715i | ||||
\(672\) | 9.29072 | + | 11.2376i | 0.358397 | + | 0.433500i | ||||
\(673\) | −21.1819 | − | 24.4452i | −0.816503 | − | 0.942295i | 0.182661 | − | 0.983176i | \(-0.441529\pi\) |
−0.999164 | + | 0.0408813i | \(0.986983\pi\) | |||||||
\(674\) | 4.81364 | − | 12.0239i | 0.185415 | − | 0.463143i | ||||
\(675\) | −4.80768 | + | 1.16633i | −0.185048 | + | 0.0448921i | ||||
\(676\) | 4.46496 | + | 2.30185i | 0.171729 | + | 0.0885326i | ||||
\(677\) | −18.8321 | − | 14.8097i | −0.723775 | − | 0.569183i | 0.186864 | − | 0.982386i | \(-0.440168\pi\) |
−0.910639 | + | 0.413203i | \(0.864410\pi\) | |||||||
\(678\) | −0.172342 | + | 0.377377i | −0.00661876 | + | 0.0144931i | ||||
\(679\) | 1.33567 | − | 6.15905i | 0.0512582 | − | 0.236363i | ||||
\(680\) | 2.40997 | − | 16.7617i | 0.0924182 | − | 0.642783i | ||||
\(681\) | −13.5695 | + | 0.646396i | −0.519986 | + | 0.0247700i | ||||
\(682\) | 0.134205 | + | 0.553201i | 0.00513898 | + | 0.0211832i | ||||
\(683\) | 10.1915 | − | 8.01465i | 0.389965 | − | 0.306672i | −0.403857 | − | 0.914822i | \(-0.632331\pi\) |
0.793822 | + | 0.608150i | \(0.208088\pi\) | |||||||
\(684\) | −1.43012 | + | 0.275632i | −0.0546819 | + | 0.0105391i | ||||
\(685\) | 2.06300 | − | 3.21008i | 0.0788230 | − | 0.122651i | ||||
\(686\) | −9.07031 | − | 6.11345i | −0.346306 | − | 0.233413i | ||||
\(687\) | 5.75885 | + | 19.6128i | 0.219714 | + | 0.748277i | ||||
\(688\) | 1.24927 | − | 13.0829i | 0.0476278 | − | 0.498781i | ||||
\(689\) | 16.0548 | + | 27.8078i | 0.611640 | + | 1.05939i | ||||
\(690\) | −4.17978 | − | 7.89516i | −0.159122 | − | 0.300564i | ||||
\(691\) | −0.693162 | − | 0.400197i | −0.0263691 | − | 0.0152242i | 0.486757 | − | 0.873537i | \(-0.338180\pi\) |
−0.513127 | + | 0.858313i | \(0.671513\pi\) | |||||||
\(692\) | −23.4070 | + | 10.6896i | −0.889800 | + | 0.406358i | ||||
\(693\) | 0.214510 | + | 0.392245i | 0.00814856 | + | 0.0149002i | ||||
\(694\) | 11.4147 | − | 13.1733i | 0.433297 | − | 0.500051i | ||||
\(695\) | −24.9110 | − | 48.3206i | −0.944928 | − | 1.83291i | ||||
\(696\) | −15.5037 | − | 5.36588i | −0.587666 | − | 0.203393i | ||||
\(697\) | −5.22499 | − | 6.64411i | −0.197910 | − | 0.251664i | ||||
\(698\) | −1.09602 | − | 1.14947i | −0.0414849 | − | 0.0435081i | ||||
\(699\) | −11.0642 | − | 17.2163i | −0.418488 | − | 0.651179i | ||||
\(700\) | 19.4459 | + | 9.43078i | 0.734987 | + | 0.356450i | ||||
\(701\) | 17.6006 | + | 8.03793i | 0.664766 | + | 0.303588i | 0.719072 | − | 0.694936i | \(-0.244567\pi\) |
−0.0543057 | + | 0.998524i | \(0.517295\pi\) | |||||||
\(702\) | −1.08106 | − | 1.51814i | −0.0408020 | − | 0.0572984i | ||||
\(703\) | 0.800148 | + | 1.99867i | 0.0301782 | + | 0.0753814i | ||||
\(704\) | −0.0621489 | + | 0.120552i | −0.00234232 | + | 0.00454347i | ||||
\(705\) | 9.05550 | − | 8.63441i | 0.341050 | − | 0.325191i | ||||
\(706\) | 3.38967 | − | 0.487362i | 0.127572 | − | 0.0183421i | ||||
\(707\) | 14.6579 | + | 1.74300i | 0.551268 | + | 0.0655521i | ||||
\(708\) | −11.3918 | − | 7.32106i | −0.428129 | − | 0.275142i | ||||
\(709\) | 6.34821 | − | 2.19714i | 0.238412 | − | 0.0825151i | −0.205249 | − | 0.978710i | \(-0.565801\pi\) |
0.443661 | + | 0.896195i | \(0.353679\pi\) | |||||||
\(710\) | −3.99365 | − | 3.80794i | −0.149879 | − | 0.142909i | ||||
\(711\) | −3.85845 | − | 2.74759i | −0.144703 | − | 0.103043i | ||||
\(712\) | 17.0745 | − | 29.5739i | 0.639894 | − | 1.10833i | ||||
\(713\) | −12.2691 | + | 24.4494i | −0.459483 | + | 0.915639i | ||||
\(714\) | 2.87725 | − | 2.61898i | 0.107678 | − | 0.0980127i | ||||
\(715\) | 0.698612 | + | 1.52975i | 0.0261266 | + | 0.0572093i | ||||
\(716\) | 7.41854 | − | 30.5796i | 0.277244 | − | 1.14281i | ||||
\(717\) | 2.17593 | − | 11.2898i | 0.0812616 | − | 0.421625i | ||||
\(718\) | −1.44092 | − | 0.0686395i | −0.0537747 | − | 0.00256160i | ||||
\(719\) | −7.19800 | − | 37.3468i | −0.268440 | − | 1.39280i | −0.826471 | − | 0.562980i | \(-0.809655\pi\) |
0.558031 | − | 0.829820i | \(-0.311557\pi\) | |||||||
\(720\) | −0.910605 | − | 6.33340i | −0.0339363 | − | 0.236032i | ||||
\(721\) | 18.7624 | − | 27.7599i | 0.698748 | − | 1.03383i | ||||
\(722\) | −9.05362 | + | 5.81841i | −0.336941 | + | 0.216539i | ||||
\(723\) | 12.5243 | − | 15.9259i | 0.465784 | − | 0.592292i | ||||
\(724\) | 23.1433 | − | 2.20991i | 0.860112 | − | 0.0821308i | ||||
\(725\) | −37.4673 | + | 3.57769i | −1.39150 | + | 0.132872i | ||||
\(726\) | −4.00557 | + | 5.09349i | −0.148661 | + | 0.189037i | ||||
\(727\) | 27.6938 | − | 17.7977i | 1.02711 | − | 0.660081i | 0.0853413 | − | 0.996352i | \(-0.472802\pi\) |
0.941766 | + | 0.336270i | \(0.109166\pi\) | |||||||
\(728\) | −1.27281 | + | 17.9587i | −0.0471734 | + | 0.665592i | ||||
\(729\) | 0.142315 | + | 0.989821i | 0.00527092 | + | 0.0366601i | ||||
\(730\) | −4.78596 | − | 24.8319i | −0.177136 | − | 0.919070i | ||||
\(731\) | −16.1113 | − | 0.767477i | −0.595899 | − | 0.0283862i | ||||
\(732\) | −3.22387 | + | 16.7271i | −0.119158 | + | 0.618250i | ||||
\(733\) | 1.88101 | − | 7.75363i | 0.0694767 | − | 0.286387i | −0.926466 | − | 0.376379i | \(-0.877169\pi\) |
0.995942 | + | 0.0899923i | \(0.0286842\pi\) | |||||||
\(734\) | −4.97482 | − | 10.8933i | −0.183624 | − | 0.402080i | ||||
\(735\) | 9.19712 | + | 20.0704i | 0.339241 | + | 0.740309i | ||||
\(736\) | 24.4283 | − | 10.0899i | 0.900438 | − | 0.371918i | ||||
\(737\) | 1.17719 | − | 2.03895i | 0.0433623 | − | 0.0751057i | ||||
\(738\) | 1.63319 | + | 1.16299i | 0.0601186 | + | 0.0428103i | ||||
\(739\) | 20.4658 | + | 19.5141i | 0.752846 | + | 0.717837i | 0.965818 | − | 0.259221i | \(-0.0834658\pi\) |
−0.212972 | + | 0.977058i | \(0.568314\pi\) | |||||||
\(740\) | −12.0116 | + | 4.15726i | −0.441555 | + | 0.152824i | ||||
\(741\) | −2.34155 | − | 1.50482i | −0.0860189 | − | 0.0552810i | ||||
\(742\) | 9.52049 | − | 12.7350i | 0.349508 | − | 0.467516i | ||||
\(743\) | 18.2353 | − | 2.62184i | 0.668989 | − | 0.0961861i | 0.200552 | − | 0.979683i | \(-0.435726\pi\) |
0.468437 | + | 0.883497i | \(0.344817\pi\) | |||||||
\(744\) | 8.90201 | − | 8.48805i | 0.326364 | − | 0.311187i | ||||
\(745\) | −4.99736 | + | 9.69353i | −0.183089 | + | 0.355143i | ||||
\(746\) | −3.50930 | − | 8.76581i | −0.128485 | − | 0.320939i | ||||
\(747\) | 0.607249 | + | 0.852761i | 0.0222181 | + | 0.0312009i | ||||
\(748\) | 0.631925 | + | 0.288590i | 0.0231055 | + | 0.0105519i | ||||
\(749\) | 15.1029 | − | 31.1417i | 0.551849 | − | 1.13789i | ||||
\(750\) | −0.0532393 | − | 0.0828420i | −0.00194403 | − | 0.00302496i | ||||
\(751\) | −13.1443 | − | 13.7853i | −0.479642 | − | 0.503034i | 0.438803 | − | 0.898583i | \(-0.355403\pi\) |
−0.918445 | + | 0.395549i | \(0.870554\pi\) | |||||||
\(752\) | 4.97526 | + | 6.32656i | 0.181429 | + | 0.230706i | ||||
\(753\) | 7.67356 | + | 2.65584i | 0.279640 | + | 0.0967844i | ||||
\(754\) | −6.49725 | − | 12.6029i | −0.236616 | − | 0.458971i | ||||
\(755\) | 24.0028 | − | 27.7008i | 0.873553 | − | 1.00813i | ||||
\(756\) | 2.27132 | − | 3.73174i | 0.0826072 | − | 0.135722i | ||||
\(757\) | −27.3909 | + | 12.5090i | −0.995540 | + | 0.454648i | −0.845467 | − | 0.534027i | \(-0.820678\pi\) |
−0.150073 | + | 0.988675i | \(0.547951\pi\) | |||||||
\(758\) | −1.43741 | − | 0.829888i | −0.0522090 | − | 0.0301429i | ||||
\(759\) | 0.794018 | − | 0.162029i | 0.0288210 | − | 0.00588129i | ||||
\(760\) | 2.99950 | + | 5.19529i | 0.108803 | + | 0.188453i | ||||
\(761\) | −3.02999 | + | 31.7315i | −0.109837 | + | 1.15027i | 0.757600 | + | 0.652719i | \(0.226372\pi\) |
−0.867437 | + | 0.497547i | \(0.834234\pi\) | |||||||
\(762\) | −2.24485 | − | 7.64525i | −0.0813223 | − | 0.276958i | ||||
\(763\) | −0.698541 | − | 28.5718i | −0.0252889 | − | 1.03437i | ||||
\(764\) | −1.99911 | + | 3.11068i | −0.0723253 | + | 0.112540i | ||||
\(765\) | −7.71096 | + | 1.48617i | −0.278790 | + | 0.0537324i | ||||
\(766\) | 17.2054 | − | 13.5305i | 0.621656 | − | 0.488876i | ||||
\(767\) | −6.10124 | − | 25.1496i | −0.220303 | − | 0.908101i | ||||
\(768\) | −5.17855 | + | 0.246685i | −0.186865 | + | 0.00890146i | ||||
\(769\) | −7.81209 | + | 54.3343i | −0.281711 | + | 1.95935i | 0.000523959 | 1.00000i | \(0.499833\pi\) | |
−0.282235 | + | 0.959345i | \(0.591076\pi\) | |||||||
\(770\) | 0.559772 | − | 0.616567i | 0.0201728 | − | 0.0222195i | ||||
\(771\) | −2.58501 | + | 5.66038i | −0.0930969 | + | 0.203854i | ||||
\(772\) | −13.1202 | − | 10.3178i | −0.472206 | − | 0.371347i | ||||
\(773\) | 8.66664 | + | 4.46796i | 0.311717 | + | 0.160701i | 0.606985 | − | 0.794713i | \(-0.292379\pi\) |
−0.295268 | + | 0.955414i | \(0.595409\pi\) | |||||||
\(774\) | 3.71814 | − | 0.902012i | 0.133646 | − | 0.0324222i | ||||
\(775\) | 10.4877 | − | 26.1969i | 0.376728 | − | 0.941020i | ||||
\(776\) | 3.36377 | + | 3.88200i | 0.120752 | + | 0.139356i | ||||
\(777\) | −6.05194 | − | 2.25282i | −0.217112 | − | 0.0808194i | ||||
\(778\) | −11.4255 | − | 9.90030i | −0.409626 | − | 0.354943i | ||||
\(779\) | 2.90994 | + | 0.705944i | 0.104259 | + | 0.0252931i | ||||
\(780\) | 9.53222 | − | 13.3861i | 0.341308 | − | 0.479300i | ||||
\(781\) | 0.433509 | − | 0.250286i | 0.0155122 | − | 0.00895595i | ||||
\(782\) | −2.99946 | − | 6.38287i | −0.107260 | − | 0.228251i | ||||
\(783\) | 7.60799i | 0.271887i | ||||||||
\(784\) | −13.4143 | + | 4.66208i | −0.479081 | + | 0.166503i | ||||
\(785\) | 21.6459 | − | 6.35580i | 0.772574 | − | 0.226848i | ||||
\(786\) | −2.73856 | − | 7.91256i | −0.0976813 | − | 0.282232i | ||||
\(787\) | 0.523739 | − | 10.9946i | 0.0186693 | − | 0.391916i | −0.970123 | − | 0.242615i | \(-0.921995\pi\) |
0.988792 | − | 0.149301i | \(-0.0477023\pi\) | |||||||
\(788\) | −2.36264 | + | 6.82641i | −0.0841656 | + | 0.243181i | ||||
\(789\) | −28.4305 | − | 11.3819i | −1.01215 | − | 0.405205i | ||||
\(790\) | −2.48581 | + | 8.46588i | −0.0884411 | + | 0.301203i | ||||
\(791\) | −1.31499 | − | 1.31330i | −0.0467557 | − | 0.0466956i | ||||
\(792\) | −0.360675 | − | 0.0518572i | −0.0128160 | − | 0.00184266i | ||||
\(793\) | −26.5189 | + | 18.8840i | −0.941715 | + | 0.670592i | ||||
\(794\) | −1.08991 | − | 11.4141i | −0.0386796 | − | 0.405071i | ||||
\(795\) | −29.7938 | + | 11.9276i | −1.05668 | + | 0.423029i | ||||
\(796\) | 1.36702 | + | 28.6973i | 0.0484528 | + | 1.01715i | ||||
\(797\) | −20.1081 | − | 5.90428i | −0.712267 | − | 0.209140i | −0.0945262 | − | 0.995522i | \(-0.530134\pi\) |
−0.617741 | + | 0.786382i | \(0.711952\pi\) | |||||||
\(798\) | −0.227689 | + | 1.35937i | −0.00806011 | + | 0.0481211i | ||||
\(799\) | 7.46521 | − | 6.46864i | 0.264100 | − | 0.228844i | ||||
\(800\) | −24.2331 | + | 12.4930i | −0.856769 | + | 0.441695i | ||||
\(801\) | −15.5498 | − | 2.99698i | −0.549425 | − | 0.105893i | ||||
\(802\) | 4.26127 | − | 4.46909i | 0.150471 | − | 0.157809i | ||||
\(803\) | 2.28368 | + | 0.218065i | 0.0805893 | + | 0.00769535i | ||||
\(804\) | −23.0062 | −0.811367 | ||||||||
\(805\) | 39.6781 | − | 5.20931i | 1.39847 | − | 0.183604i | ||||
\(806\) | 10.6305 | 0.374445 | ||||||||
\(807\) | −26.8869 | − | 2.56738i | −0.946462 | − | 0.0903762i | ||||
\(808\) | −8.30241 | + | 8.70732i | −0.292078 | + | 0.306322i | ||||
\(809\) | 0.813516 | + | 0.156792i | 0.0286017 | + | 0.00551252i | 0.203532 | − | 0.979068i | \(-0.434758\pi\) |
−0.174930 | + | 0.984581i | \(0.555970\pi\) | |||||||
\(810\) | 1.65566 | − | 0.853550i | 0.0581738 | − | 0.0299907i | ||||
\(811\) | 16.4735 | − | 14.2744i | 0.578464 | − | 0.501242i | −0.315774 | − | 0.948835i | \(-0.602264\pi\) |
0.894237 | + | 0.447593i | \(0.147719\pi\) | |||||||
\(812\) | 21.1448 | − | 25.6428i | 0.742036 | − | 0.899887i | ||||
\(813\) | 27.2066 | + | 7.98858i | 0.954177 | + | 0.280172i | ||||
\(814\) | 0.0115902 | + | 0.243309i | 0.000406238 | + | 0.00852798i | ||||
\(815\) | 6.82077 | − | 2.73062i | 0.238921 | − | 0.0956496i | ||||
\(816\) | −0.480165 | − | 5.02851i | −0.0168091 | − | 0.176033i | ||||
\(817\) | 4.65449 | − | 3.31445i | 0.162840 | − | 0.115958i | ||||
\(818\) | 4.39033 | + | 0.631234i | 0.153504 | + | 0.0220706i | ||||
\(819\) | 8.06301 | − | 2.16604i | 0.281744 | − | 0.0756877i | ||||
\(820\) | −4.98065 | + | 16.9626i | −0.173932 | + | 0.592358i | ||||
\(821\) | −30.4911 | − | 12.2068i | −1.06415 | − | 0.426020i | −0.227508 | − | 0.973776i | \(-0.573058\pi\) |
−0.836638 | + | 0.547756i | \(0.815482\pi\) | |||||||
\(822\) | −0.233711 | + | 0.675263i | −0.00815160 | + | 0.0235525i | ||||
\(823\) | −0.542987 | + | 11.3987i | −0.0189274 | + | 0.397334i | 0.969448 | + | 0.245298i | \(0.0788859\pi\) |
−0.988375 | + | 0.152036i | \(0.951417\pi\) | |||||||
\(824\) | 8.93187 | + | 25.8069i | 0.311156 | + | 0.899027i | ||||
\(825\) | −0.802086 | + | 0.235514i | −0.0279250 | + | 0.00819953i | ||||
\(826\) | −10.2540 | + | 7.68635i | −0.356782 | + | 0.267442i | ||||
\(827\) | 39.7594i | 1.38257i | 0.722583 | + | 0.691284i | \(0.242955\pi\) | ||||
−0.722583 | + | 0.691284i | \(0.757045\pi\) | |||||||
\(828\) | −5.25062 | − | 5.92775i | −0.182472 | − | 0.206003i | ||||
\(829\) | 8.34447 | − | 4.81768i | 0.289815 | − | 0.167325i | −0.348043 | − | 0.937479i | \(-0.613154\pi\) |
0.637859 | + | 0.770153i | \(0.279820\pi\) | |||||||
\(830\) | 1.13114 | − | 1.58846i | 0.0392624 | − | 0.0551363i | ||||
\(831\) | −26.5788 | − | 6.44795i | −0.922008 | − | 0.223677i | ||||
\(832\) | 1.91419 | + | 1.65866i | 0.0663626 | + | 0.0575035i | ||||
\(833\) | 6.49861 | + | 16.1724i | 0.225163 | + | 0.560339i | ||||
\(834\) | 6.66670 | + | 7.69378i | 0.230849 | + | 0.266414i | ||||
\(835\) | 2.52068 | − | 6.29635i | 0.0872317 | − | 0.217894i | ||||
\(836\) | −0.239166 | + | 0.0580210i | −0.00827172 | + | 0.00200670i | ||||
\(837\) | −5.06988 | − | 2.61370i | −0.175241 | − | 0.0903428i | ||||
\(838\) | −13.5204 | − | 10.6325i | −0.467054 | − | 0.367295i | ||||
\(839\) | −9.02437 | + | 19.7606i | −0.311556 | + | 0.682212i | −0.999032 | − | 0.0439951i | \(-0.985991\pi\) |
0.687476 | + | 0.726207i | \(0.258719\pi\) | |||||||
\(840\) | −17.5854 | − | 3.81361i | −0.606753 | − | 0.131582i | ||||
\(841\) | −4.11026 | + | 28.5875i | −0.141733 | + | 0.985775i | ||||
\(842\) | −19.0257 | + | 0.906308i | −0.655670 | + | 0.0312334i | ||||
\(843\) | 0.609333 | + | 2.51170i | 0.0209865 | + | 0.0865077i | ||||
\(844\) | −29.0234 | + | 22.8243i | −0.999027 | + | 0.785644i | ||||
\(845\) | −9.42172 | + | 1.81589i | −0.324117 | + | 0.0624685i | ||||
\(846\) | −1.26676 | + | 1.97111i | −0.0435520 | + | 0.0677683i | ||||
\(847\) | −15.1239 | − | 24.7765i | −0.519665 | − | 0.851330i | ||||
\(848\) | −5.81600 | − | 19.8075i | −0.199722 | − | 0.680191i | ||||
\(849\) | −0.541908 | + | 5.67512i | −0.0185982 | + | 0.194770i | ||||
\(850\) | 3.63750 | + | 6.30034i | 0.124765 | + | 0.216100i | ||||
\(851\) | −7.13513 | + | 9.27944i | −0.244589 | + | 0.318095i | ||||
\(852\) | −4.23611 | − | 2.44572i | −0.145127 | − | 0.0837890i | ||||
\(853\) | 24.2515 | − | 11.0753i | 0.830355 | − | 0.379211i | 0.0455570 | − | 0.998962i | \(-0.485494\pi\) |
0.784798 | + | 0.619751i | \(0.212766\pi\) | |||||||
\(854\) | 13.7709 | + | 8.38163i | 0.471230 | + | 0.286813i | ||||
\(855\) | 1.82177 | − | 2.10244i | 0.0623034 | − | 0.0719019i | ||||
\(856\) | 12.9263 | + | 25.0736i | 0.441813 | + | 0.856998i | ||||
\(857\) | −16.9377 | − | 5.86218i | −0.578580 | − | 0.200248i | 0.0220760 | − | 0.999756i | \(-0.492972\pi\) |
−0.600655 | + | 0.799508i | \(0.705094\pi\) | |||||||
\(858\) | −0.194673 | − | 0.247546i | −0.00664602 | − | 0.00845110i | ||||
\(859\) | 12.7920 | + | 13.4158i | 0.436456 | + | 0.457742i | 0.904820 | − | 0.425794i | \(-0.140005\pi\) |
−0.468365 | + | 0.883535i | \(0.655157\pi\) | |||||||
\(860\) | 18.2388 | + | 28.3802i | 0.621939 | + | 0.967756i | ||||
\(861\) | −7.43488 | + | 5.03905i | −0.253380 | + | 0.171730i | ||||
\(862\) | 2.53193 | + | 1.15629i | 0.0862378 | + | 0.0393835i | ||||
\(863\) | 20.1048 | + | 28.2333i | 0.684377 | + | 0.961073i | 0.999926 | + | 0.0121637i | \(0.00387193\pi\) |
−0.315549 | + | 0.948909i | \(0.602189\pi\) | |||||||
\(864\) | 2.04825 | + | 5.11628i | 0.0696828 | + | 0.174059i | ||||
\(865\) | 22.5224 | − | 43.6873i | 0.765784 | − | 1.48541i | ||||
\(866\) | 4.31629 | − | 4.11558i | 0.146674 | − | 0.139853i | ||||
\(867\) | 10.6905 | − | 1.53707i | 0.363070 | − | 0.0522015i | ||||
\(868\) | 9.82387 | + | 22.9002i | 0.333444 | + | 0.777282i | ||||
\(869\) | −0.673339 | − | 0.432729i | −0.0228415 | − | 0.0146793i | ||||
\(870\) | 13.3922 | − | 4.63507i | 0.454037 | − | 0.157144i | ||||
\(871\) | −31.8207 | − | 30.3410i | −1.07820 | − | 1.02806i | ||||
\(872\) | 18.9750 | + | 13.5121i | 0.642576 | + | 0.457576i | ||||
\(873\) | 1.19101 | − | 2.06288i | 0.0403095 | − | 0.0698180i | ||||
\(874\) | 2.23300 | + | 1.12056i | 0.0755325 | + | 0.0379034i | ||||
\(875\) | 0.430995 | − | 0.0940478i | 0.0145703 | − | 0.00317940i | ||||
\(876\) | −9.31232 | − | 20.3911i | −0.314634 | − | 0.688953i | ||||
\(877\) | 7.92214 | − | 32.6555i | 0.267512 | − | 1.10270i | −0.666514 | − | 0.745492i | \(-0.732214\pi\) |
0.934026 | − | 0.357206i | \(-0.116270\pi\) | |||||||
\(878\) | 2.19236 | − | 11.3750i | 0.0739884 | − | 0.383888i | ||||
\(879\) | −15.5859 | − | 0.742450i | −0.525701 | − | 0.0250422i | ||||
\(880\) | −0.204618 | − | 1.06166i | −0.00689768 | − | 0.0357885i | ||||
\(881\) | 5.54705 | + | 38.5806i | 0.186885 | + | 1.29981i | 0.840014 | + | 0.542565i | \(0.182547\pi\) |
−0.653129 | + | 0.757247i | \(0.726544\pi\) | |||||||
\(882\) | −2.55981 | − | 3.24646i | −0.0861934 | − | 0.109314i | ||||
\(883\) | −37.3097 | + | 23.9775i | −1.25557 | + | 0.806906i | −0.987671 | − | 0.156541i | \(-0.949966\pi\) |
−0.267899 | + | 0.963447i | \(0.586329\pi\) | |||||||
\(884\) | 8.01962 | − | 10.1978i | 0.269729 | − | 0.342988i | ||||
\(885\) | 25.7483 | − | 2.45866i | 0.865519 | − | 0.0826470i | ||||
\(886\) | −13.7961 | + | 1.31737i | −0.463489 | + | 0.0442579i | ||||
\(887\) | 5.88473 | − | 7.48304i | 0.197590 | − | 0.251256i | −0.677154 | − | 0.735841i | \(-0.736787\pi\) |
0.874744 | + | 0.484585i | \(0.161029\pi\) | |||||||
\(888\) | 4.42777 | − | 2.84556i | 0.148586 | − | 0.0954906i | ||||
\(889\) | 35.6050 | + | 2.52348i | 1.19415 | + | 0.0846348i | ||||
\(890\) | 4.19801 | + | 29.1978i | 0.140718 | + | 0.978713i | ||||
\(891\) | 0.0319789 | + | 0.165923i | 0.00107133 | + | 0.00555861i | ||||
\(892\) | 28.0187 | + | 1.33470i | 0.938136 | + | 0.0446889i | ||||
\(893\) | −0.662247 | + | 3.43606i | −0.0221612 | + | 0.114983i | ||||
\(894\) | 0.481481 | − | 1.98469i | 0.0161031 | − | 0.0663781i | ||||
\(895\) | 24.9682 | + | 54.6727i | 0.834594 | + | 1.82751i | ||||
\(896\) | 9.24259 | − | 28.9776i | 0.308773 | − | 0.968075i | ||||
\(897\) | 0.555291 | − | 15.1235i | 0.0185406 | − | 0.504957i | ||||
\(898\) | 7.07240 | − | 12.2498i | 0.236009 | − | 0.408780i | ||||
\(899\) | −35.3490 | − | 25.1719i | −1.17896 | − | 0.839530i | ||||
\(900\) | 5.91190 | + | 5.63699i | 0.197063 | + | 0.187900i | ||||
\(901\) | −23.9424 | + | 8.28655i | −0.797637 | + | 0.276065i | ||||
\(902\) | 0.285008 | + | 0.183164i | 0.00948974 | + | 0.00609869i | ||||
\(903\) | −2.02381 | + | 17.0194i | −0.0673480 | + | 0.566370i | ||||
\(904\) | 1.49934 | − | 0.215572i | 0.0498673 | − | 0.00716983i | ||||
\(905\) | −32.1387 | + | 30.6442i | −1.06833 | + | 1.01865i | ||||
\(906\) | −3.14518 | + | 6.10079i | −0.104491 | + | 0.202685i | ||||
\(907\) | 6.70714 | + | 16.7536i | 0.222707 | + | 0.556295i | 0.997074 | − | 0.0764415i | \(-0.0243559\pi\) |
−0.774367 | + | 0.632737i | \(0.781932\pi\) | |||||||
\(908\) | 13.0113 | + | 18.2719i | 0.431797 | + | 0.606374i | ||||
\(909\) | 5.07502 | + | 2.31768i | 0.168328 | + | 0.0768727i | ||||
\(910\) | −8.72513 | − | 12.8735i | −0.289235 | − | 0.426753i | ||||
\(911\) | −12.1442 | − | 18.8968i | −0.402356 | − | 0.626078i | 0.579664 | − | 0.814856i | \(-0.303184\pi\) |
−0.982020 | + | 0.188778i | \(0.939547\pi\) | |||||||
\(912\) | 1.23488 | + | 1.29511i | 0.0408911 | + | 0.0428854i | ||||
\(913\) | 0.109351 | + | 0.139051i | 0.00361898 | + | 0.00460191i | ||||
\(914\) | −15.8331 | − | 5.47990i | −0.523714 | − | 0.181259i | ||||
\(915\) | −14.9099 | − | 28.9211i | −0.492905 | − | 0.956103i | ||||
\(916\) | 22.1026 | − | 25.5077i | 0.730289 | − | 0.842798i | ||||
\(917\) | 37.4988 | + | 0.868482i | 1.23832 | + | 0.0286798i | ||||
\(918\) | 1.33766 | − | 0.610888i | 0.0441493 | − | 0.0201623i | ||||
\(919\) | −16.7116 | − | 9.64844i | −0.551265 | − | 0.318273i | 0.198367 | − | 0.980128i | \(-0.436436\pi\) |
−0.749632 | + | 0.661855i | \(0.769769\pi\) | |||||||
\(920\) | −15.9997 | + | 28.4234i | −0.527496 | + | 0.937091i | ||||
\(921\) | 1.75434 | + | 3.03860i | 0.0578074 | + | 0.100125i | ||||
\(922\) | −1.45363 | + | 15.2231i | −0.0478726 | + | 0.501345i | ||||
\(923\) | −2.63365 | − | 8.96940i | −0.0866877 | − | 0.295231i | ||||
\(924\) | 0.353360 | − | 0.648123i | 0.0116247 | − | 0.0213217i | ||||
\(925\) | 6.52811 | − | 10.1579i | 0.214643 | − | 0.333991i | ||||
\(926\) | 18.8258 | − | 3.62837i | 0.618653 | − | 0.119236i | ||||
\(927\) | 9.95458 | − | 7.82837i | 0.326951 | − | 0.257117i | ||||
\(928\) | 9.88489 | + | 40.7461i | 0.324487 | + | 1.33755i | ||||
\(929\) | 37.8374 | − | 1.80242i | 1.24140 | − | 0.0591354i | 0.583422 | − | 0.812169i | \(-0.301713\pi\) |
0.657982 | + | 0.753034i | \(0.271410\pi\) | |||||||
\(930\) | −1.51208 | + | 10.5168i | −0.0495831 | + | 0.344858i | ||||
\(931\) | −5.35116 | − | 3.08031i | −0.175377 | − | 0.100953i | ||||
\(932\) | −14.0375 | + | 30.7378i | −0.459813 | + | 1.00685i | ||||
\(933\) | −9.50499 | − | 7.47480i | −0.311179 | − | 0.244714i | ||||
\(934\) | 17.5568 | + | 9.05118i | 0.574477 | + | 0.296164i | ||||
\(935\) | −1.28954 | + | 0.312840i | −0.0421726 | + | 0.0102310i | ||||
\(936\) | −2.52907 | + | 6.31732i | −0.0826654 | + | 0.206488i | ||||
\(937\) | 8.90796 | + | 10.2803i | 0.291010 | + | 0.335844i | 0.882363 | − | 0.470569i | \(-0.155951\pi\) |
−0.591353 | + | 0.806413i | \(0.701406\pi\) | |||||||
\(938\) | −7.59542 | + | 20.4042i | −0.247999 | + | 0.666222i | ||||
\(939\) | 5.41050 | + | 4.68822i | 0.176565 | + | 0.152994i | ||||
\(940\) | −20.0775 | − | 4.87076i | −0.654857 | − | 0.158867i | ||||
\(941\) | 25.5438 | − | 35.8712i | 0.832703 | − | 1.16937i | −0.150816 | − | 0.988562i | \(-0.548190\pi\) |
0.983519 | − | 0.180806i | \(-0.0578706\pi\) | |||||||
\(942\) | −3.65860 | + | 2.11229i | −0.119204 | + | 0.0688222i | ||||
\(943\) | 4.75675 | + | 15.5702i | 0.154901 | + | 0.507035i | ||||
\(944\) | 16.6380i | 0.541521i | ||||||||
\(945\) | 0.995980 | + | 8.28480i | 0.0323992 | + | 0.269505i | ||||
\(946\) | 0.620314 | − | 0.182141i | 0.0201681 | − | 0.00592190i | ||||
\(947\) | 15.1791 | + | 43.8572i | 0.493256 | + | 1.42517i | 0.867313 | + | 0.497763i | \(0.165845\pi\) |
−0.374057 | + | 0.927406i | \(0.622034\pi\) | |||||||
\(948\) | −0.372150 | + | 7.81239i | −0.0120869 | + | 0.253735i | ||||
\(949\) | 14.0120 | − | 40.4849i | 0.454847 | − | 1.31419i | ||||
\(950\) | −2.39260 | − | 0.957853i | −0.0776262 | − | 0.0310769i | ||||
\(951\) | −6.59226 | + | 22.4512i | −0.213769 | + | 0.728030i | ||||
\(952\) | −13.7240 | − | 3.66786i | −0.444797 | − | 0.118876i | ||||
\(953\) | −26.5292 | − | 3.81432i | −0.859364 | − | 0.123558i | −0.301476 | − | 0.953474i | \(-0.597479\pi\) |
−0.557888 | + | 0.829916i | \(0.688388\pi\) | |||||||
\(954\) | 4.89539 | − | 3.48599i | 0.158494 | − | 0.112863i | ||||
\(955\) | −0.671370 | − | 7.03091i | −0.0217250 | − | 0.227515i | ||||
\(956\) | −17.6247 | + | 7.05585i | −0.570022 | + | 0.228203i | ||||
\(957\) | 0.0611698 | + | 1.28411i | 0.00197734 | + | 0.0415094i | ||||
\(958\) | 7.25616 | + | 2.13060i | 0.234436 | + | 0.0688366i | ||||
\(959\) | −2.46969 | − | 2.03647i | −0.0797504 | − | 0.0657612i | ||||
\(960\) | −1.91317 | + | 1.65777i | −0.0617474 | + | 0.0535045i | ||||
\(961\) | 1.36443 | − | 0.703414i | 0.0440139 | − | 0.0226908i | ||||
\(962\) | 4.46668 | + | 0.860881i | 0.144011 | + | 0.0277559i | ||||
\(963\) | 9.02736 | − | 9.46762i | 0.290903 | − | 0.305090i | ||||
\(964\) | −33.3025 | − | 3.18000i | −1.07260 | − | 0.102421i | ||||
\(965\) | 31.8818 | 1.02631 | ||||||||
\(966\) | −6.99079 | + | 2.69975i | −0.224925 | + | 0.0868631i | ||||
\(967\) | 22.2001 | 0.713908 | 0.356954 | − | 0.934122i | \(-0.383815\pi\) | ||||
0.356954 | + | 0.934122i | \(0.383815\pi\) | |||||||
\(968\) | 23.5519 | + | 2.24894i | 0.756987 | + | 0.0722835i | ||||
\(969\) | 1.51557 | − | 1.58948i | 0.0486870 | − | 0.0510614i | ||||
\(970\) | −4.35685 | − | 0.839715i | −0.139890 | − | 0.0269616i | ||||
\(971\) | −4.90857 | + | 2.53054i | −0.157524 | + | 0.0812090i | −0.535186 | − | 0.844734i | \(-0.679758\pi\) |
0.377662 | + | 0.925943i | \(0.376728\pi\) | |||||||
\(972\) | 1.24788 | − | 1.08129i | 0.0400258 | − | 0.0346825i | ||||
\(973\) | −42.7192 | + | 15.9648i | −1.36951 | + | 0.511807i | ||||
\(974\) | −11.9145 | − | 3.49841i | −0.381765 | − | 0.112096i | ||||
\(975\) | 0.742806 | + | 15.5934i | 0.0237888 | + | 0.499389i | ||||
\(976\) | 19.4310 | − | 7.77901i | 0.621972 | − | 0.249000i | ||||
\(977\) | 0.233532 | + | 2.44566i | 0.00747134 | + | 0.0782434i | 0.998439 | − | 0.0558609i | \(-0.0177903\pi\) |
−0.990967 | + | 0.134104i | \(0.957184\pi\) | |||||||
\(978\) | −1.12072 | + | 0.798059i | −0.0358366 | + | 0.0255191i | ||||
\(979\) | −2.64866 | − | 0.380820i | −0.0846517 | − | 0.0121711i | ||||
\(980\) | 19.6689 | − | 30.6922i | 0.628299 | − | 0.980425i | ||||
\(981\) | 3.04337 | − | 10.3648i | 0.0971673 | − | 0.330922i | ||||
\(982\) | −3.80468 | − | 1.52316i | −0.121412 | − | 0.0486061i | ||||
\(983\) | 6.64024 | − | 19.1857i | 0.211791 | − | 0.611929i | −0.788203 | − | 0.615415i | \(-0.788988\pi\) |
0.999994 | + | 0.00348577i | \(0.00110956\pi\) | |||||||
\(984\) | 0.348322 | − | 7.31218i | 0.0111041 | − | 0.233104i | ||||
\(985\) | −4.51286 | − | 13.0391i | −0.143792 | − | 0.415459i | ||||
\(986\) | 10.7347 | − | 3.15200i | 0.341863 | − | 0.100380i | ||||
\(987\) | −6.29557 | − | 8.39862i | −0.200390 | − | 0.267331i | ||||
\(988\) | 4.59590i | 0.146215i | ||||||||
\(989\) | 28.3991 | + | 12.5972i | 0.903039 | + | 0.400567i | ||||
\(990\) | 0.272587 | − | 0.157378i | 0.00866338 | − | 0.00500180i | ||||
\(991\) | 12.1084 | − | 17.0039i | 0.384637 | − | 0.540147i | −0.576183 | − | 0.817321i | \(-0.695458\pi\) |
0.960820 | + | 0.277174i | \(0.0893978\pi\) | |||||||
\(992\) | −30.5486 | − | 7.41102i | −0.969920 | − | 0.235300i | ||||
\(993\) | −5.30609 | − | 4.59775i | −0.168384 | − | 0.145905i | ||||
\(994\) | −3.56764 | + | 2.94956i | −0.113159 | + | 0.0935544i | ||||
\(995\) | −35.9366 | − | 41.4730i | −1.13927 | − | 1.31478i | ||||
\(996\) | 0.642450 | − | 1.60476i | 0.0203568 | − | 0.0508488i | ||||
\(997\) | 18.5567 | − | 4.50181i | 0.587697 | − | 0.142574i | 0.0691254 | − | 0.997608i | \(-0.477979\pi\) |
0.518572 | + | 0.855034i | \(0.326464\pi\) | |||||||
\(998\) | −2.91211 | − | 1.50130i | −0.0921811 | − | 0.0475227i | ||||
\(999\) | −1.91857 | − | 1.50878i | −0.0607008 | − | 0.0477356i |
(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 | 483.2.bf.a.19.14 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.157.19 | yes | 640 | |
23.17 | odd | 22 | inner | 483.2.bf.a.40.19 | yes | 640 | |
161.17 | even | 66 | inner | 483.2.bf.a.178.14 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.19.14 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.40.19 | yes | 640 | 23.17 | odd | 22 | inner | |
483.2.bf.a.157.19 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.178.14 | yes | 640 | 161.17 | even | 66 | inner |