Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(11,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.v (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 168.11 |
Dual form | 168.2.v.a.107.2 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40124 | + | 0.191140i | −0.990824 | + | 0.135157i | ||||
\(3\) | 1.66017 | − | 0.493786i | 0.958502 | − | 0.285087i | ||||
\(4\) | 1.92693 | − | 0.535666i | 0.963465 | − | 0.267833i | ||||
\(5\) | 1.09212 | + | 1.89161i | 0.488411 | + | 0.845953i | 0.999911 | − | 0.0133302i | \(-0.00424327\pi\) |
−0.511500 | + | 0.859283i | \(0.670910\pi\) | |||||||
\(6\) | −2.23191 | + | 1.00924i | −0.911175 | + | 0.412019i | ||||
\(7\) | −0.451847 | + | 2.60688i | −0.170782 | + | 0.985309i | ||||
\(8\) | −2.59770 | + | 1.11891i | −0.918425 | + | 0.395594i | ||||
\(9\) | 2.51235 | − | 1.63954i | 0.837450 | − | 0.546513i | ||||
\(10\) | −1.89188 | − | 2.44184i | −0.598266 | − | 0.772179i | ||||
\(11\) | −1.45052 | − | 0.837460i | −0.437349 | − | 0.252504i | 0.265123 | − | 0.964215i | \(-0.414587\pi\) |
−0.702473 | + | 0.711711i | \(0.747921\pi\) | |||||||
\(12\) | 2.93453 | − | 1.84079i | 0.847127 | − | 0.531390i | ||||
\(13\) | − | 1.56085i | − | 0.432903i | −0.976293 | − | 0.216452i | \(-0.930552\pi\) | ||
0.976293 | − | 0.216452i | \(-0.0694483\pi\) | |||||||
\(14\) | 0.134864 | − | 3.73923i | 0.0360440 | − | 0.999350i | ||||
\(15\) | 2.74716 | + | 2.60112i | 0.709313 | + | 0.671608i | ||||
\(16\) | 3.42612 | − | 2.06438i | 0.856531 | − | 0.516096i | ||||
\(17\) | −0.278795 | − | 0.160963i | −0.0676178 | − | 0.0390392i | 0.465810 | − | 0.884885i | \(-0.345763\pi\) |
−0.533428 | + | 0.845846i | \(0.679096\pi\) | |||||||
\(18\) | −3.20702 | + | 2.77760i | −0.755901 | + | 0.654686i | ||||
\(19\) | 2.87437 | + | 4.97856i | 0.659427 | + | 1.14216i | 0.980764 | + | 0.195196i | \(0.0625343\pi\) |
−0.321337 | + | 0.946965i | \(0.604132\pi\) | |||||||
\(20\) | 3.11771 | + | 3.05999i | 0.697142 | + | 0.684234i | ||||
\(21\) | 0.537096 | + | 4.55099i | 0.117204 | + | 0.993108i | ||||
\(22\) | 2.19260 | + | 0.896227i | 0.467464 | + | 0.191076i | ||||
\(23\) | −3.26717 | − | 5.65891i | −0.681252 | − | 1.17996i | −0.974599 | − | 0.223958i | \(-0.928102\pi\) |
0.293346 | − | 0.956006i | \(-0.405231\pi\) | |||||||
\(24\) | −3.76013 | + | 3.14029i | −0.767533 | + | 0.641009i | ||||
\(25\) | 0.114544 | − | 0.198397i | 0.0229089 | − | 0.0396793i | ||||
\(26\) | 0.298342 | + | 2.18713i | 0.0585098 | + | 0.428931i | ||||
\(27\) | 3.36136 | − | 3.96248i | 0.646894 | − | 0.762580i | ||||
\(28\) | 0.525740 | + | 5.26532i | 0.0993556 | + | 0.995052i | ||||
\(29\) | 7.04205 | 1.30768 | 0.653838 | − | 0.756635i | \(-0.273158\pi\) | ||||
0.653838 | + | 0.756635i | \(0.273158\pi\) | |||||||
\(30\) | −4.34660 | − | 3.11970i | −0.793577 | − | 0.569577i | ||||
\(31\) | −7.76983 | − | 4.48591i | −1.39550 | − | 0.805694i | −0.401585 | − | 0.915822i | \(-0.631541\pi\) |
−0.993917 | + | 0.110128i | \(0.964874\pi\) | |||||||
\(32\) | −4.40622 | + | 3.54756i | −0.778918 | + | 0.627126i | ||||
\(33\) | −2.82165 | − | 0.674082i | −0.491186 | − | 0.117343i | ||||
\(34\) | 0.421425 | + | 0.172258i | 0.0722738 | + | 0.0295419i | ||||
\(35\) | −5.42467 | + | 1.99231i | −0.916937 | + | 0.336762i | ||||
\(36\) | 3.96288 | − | 4.50506i | 0.660480 | − | 0.750844i | ||||
\(37\) | 0.946173 | − | 0.546273i | 0.155550 | − | 0.0898068i | −0.420205 | − | 0.907429i | \(-0.638042\pi\) |
0.575755 | + | 0.817623i | \(0.304708\pi\) | |||||||
\(38\) | −4.97929 | − | 6.42674i | −0.807747 | − | 1.04255i | ||||
\(39\) | −0.770727 | − | 2.59129i | −0.123415 | − | 0.414938i | ||||
\(40\) | −4.95354 | − | 3.69185i | −0.783224 | − | 0.583732i | ||||
\(41\) | − | 3.44933i | − | 0.538694i | −0.963043 | − | 0.269347i | \(-0.913192\pi\) | ||
0.963043 | − | 0.269347i | \(-0.0868079\pi\) | |||||||
\(42\) | −1.62248 | − | 6.27436i | −0.250354 | − | 0.968154i | ||||
\(43\) | −11.6570 | −1.77768 | −0.888841 | − | 0.458215i | \(-0.848489\pi\) | ||||
−0.888841 | + | 0.458215i | \(0.848489\pi\) | |||||||
\(44\) | −3.24366 | − | 0.836731i | −0.489000 | − | 0.126142i | ||||
\(45\) | 5.84516 | + | 2.96181i | 0.871345 | + | 0.441521i | ||||
\(46\) | 5.65973 | + | 7.30498i | 0.834481 | + | 1.07706i | ||||
\(47\) | −2.25371 | − | 3.90354i | −0.328737 | − | 0.569390i | 0.653524 | − | 0.756906i | \(-0.273290\pi\) |
−0.982262 | + | 0.187516i | \(0.939956\pi\) | |||||||
\(48\) | 4.66860 | − | 5.11900i | 0.673854 | − | 0.738865i | ||||
\(49\) | −6.59167 | − | 2.35583i | −0.941667 | − | 0.336546i | ||||
\(50\) | −0.122582 | + | 0.299895i | −0.0173357 | + | 0.0424115i | ||||
\(51\) | −0.542330 | − | 0.129561i | −0.0759413 | − | 0.0181421i | ||||
\(52\) | −0.836097 | − | 3.00766i | −0.115946 | − | 0.417087i | ||||
\(53\) | −4.42876 | + | 7.67084i | −0.608337 | + | 1.05367i | 0.383177 | + | 0.923675i | \(0.374830\pi\) |
−0.991515 | + | 0.129996i | \(0.958504\pi\) | |||||||
\(54\) | −3.95267 | + | 6.19487i | −0.537890 | + | 0.843015i | ||||
\(55\) | − | 3.65843i | − | 0.493303i | ||||||
\(56\) | −1.74310 | − | 7.27747i | −0.232932 | − | 0.972493i | ||||
\(57\) | 7.23030 | + | 6.84595i | 0.957677 | + | 0.906769i | ||||
\(58\) | −9.86758 | + | 1.34602i | −1.29568 | + | 0.176741i | ||||
\(59\) | 5.37016 | + | 3.10046i | 0.699135 | + | 0.403646i | 0.807025 | − | 0.590517i | \(-0.201076\pi\) |
−0.107890 | + | 0.994163i | \(0.534409\pi\) | |||||||
\(60\) | 6.68692 | + | 3.54063i | 0.863278 | + | 0.457093i | ||||
\(61\) | 3.80578 | − | 2.19727i | 0.487280 | − | 0.281331i | −0.236165 | − | 0.971713i | \(-0.575891\pi\) |
0.723445 | + | 0.690382i | \(0.242557\pi\) | |||||||
\(62\) | 11.7448 | + | 4.80070i | 1.49159 | + | 0.609690i | ||||
\(63\) | 3.13889 | + | 7.29023i | 0.395463 | + | 0.918482i | ||||
\(64\) | 5.49608 | − | 5.81318i | 0.687010 | − | 0.726648i | ||||
\(65\) | 2.95253 | − | 1.70464i | 0.366216 | − | 0.211435i | ||||
\(66\) | 4.08264 | + | 0.405217i | 0.502538 | + | 0.0498788i | ||||
\(67\) | 0.716072 | − | 1.24027i | 0.0874821 | − | 0.151523i | −0.818964 | − | 0.573845i | \(-0.805451\pi\) |
0.906446 | + | 0.422321i | \(0.138785\pi\) | |||||||
\(68\) | −0.623442 | − | 0.160822i | −0.0756034 | − | 0.0195026i | ||||
\(69\) | −8.21836 | − | 7.78149i | −0.989374 | − | 0.936781i | ||||
\(70\) | 7.22044 | − | 3.82858i | 0.863008 | − | 0.457602i | ||||
\(71\) | −6.37080 | −0.756074 | −0.378037 | − | 0.925790i | \(-0.623401\pi\) | ||||
−0.378037 | + | 0.925790i | \(0.623401\pi\) | |||||||
\(72\) | −4.69184 | + | 7.07013i | −0.552938 | + | 0.833222i | ||||
\(73\) | −4.49012 | + | 7.77711i | −0.525528 | + | 0.910242i | 0.474030 | + | 0.880509i | \(0.342799\pi\) |
−0.999558 | + | 0.0297328i | \(0.990534\pi\) | |||||||
\(74\) | −1.22140 | + | 0.946310i | −0.141985 | + | 0.110006i | ||||
\(75\) | 0.0921980 | − | 0.385933i | 0.0106461 | − | 0.0445637i | ||||
\(76\) | 8.20557 | + | 8.05364i | 0.941243 | + | 0.923816i | ||||
\(77\) | 2.83858 | − | 3.40294i | 0.323486 | − | 0.387801i | ||||
\(78\) | 1.57527 | + | 3.48369i | 0.178364 | + | 0.394451i | ||||
\(79\) | −3.58799 | + | 2.07153i | −0.403681 | + | 0.233065i | −0.688071 | − | 0.725643i | \(-0.741542\pi\) |
0.284390 | + | 0.958709i | \(0.408209\pi\) | |||||||
\(80\) | 7.64675 | + | 4.22633i | 0.854932 | + | 0.472518i | ||||
\(81\) | 3.62382 | − | 8.23820i | 0.402647 | − | 0.915356i | ||||
\(82\) | 0.659306 | + | 4.83333i | 0.0728082 | + | 0.533751i | ||||
\(83\) | 9.06459i | 0.994968i | 0.867473 | + | 0.497484i | \(0.165743\pi\) | ||||
−0.867473 | + | 0.497484i | \(0.834257\pi\) | |||||||
\(84\) | 3.47276 | + | 8.48174i | 0.378909 | + | 0.925434i | ||||
\(85\) | − | 0.703162i | − | 0.0762687i | ||||||
\(86\) | 16.3343 | − | 2.22813i | 1.76137 | − | 0.240266i | ||||
\(87\) | 11.6910 | − | 3.47726i | 1.25341 | − | 0.372802i | ||||
\(88\) | 4.70507 | + | 0.552465i | 0.501562 | + | 0.0588929i | ||||
\(89\) | 4.57586 | − | 2.64187i | 0.485040 | − | 0.280038i | −0.237474 | − | 0.971394i | \(-0.576320\pi\) |
0.722515 | + | 0.691356i | \(0.242986\pi\) | |||||||
\(90\) | −8.75657 | − | 3.03295i | −0.923024 | − | 0.319701i | ||||
\(91\) | 4.06896 | + | 0.705268i | 0.426543 | + | 0.0739322i | ||||
\(92\) | −9.32690 | − | 9.15421i | −0.972397 | − | 0.954392i | ||||
\(93\) | −15.1143 | − | 3.61076i | −1.56728 | − | 0.374419i | ||||
\(94\) | 3.90411 | + | 5.03901i | 0.402678 | + | 0.519734i | ||||
\(95\) | −6.27833 | + | 10.8744i | −0.644143 | + | 1.11569i | ||||
\(96\) | −5.56336 | + | 8.06530i | −0.567808 | + | 0.823161i | ||||
\(97\) | 4.23153 | 0.429647 | 0.214823 | − | 0.976653i | \(-0.431082\pi\) | ||||
0.214823 | + | 0.976653i | \(0.431082\pi\) | |||||||
\(98\) | 9.68678 | + | 2.04113i | 0.978513 | + | 0.206186i | ||||
\(99\) | −5.01728 | + | 0.274197i | −0.504255 | + | 0.0275578i | ||||
\(100\) | 0.114445 | − | 0.443654i | 0.0114445 | − | 0.0443654i | ||||
\(101\) | 2.47136 | − | 4.28052i | 0.245909 | − | 0.425927i | −0.716478 | − | 0.697610i | \(-0.754247\pi\) |
0.962387 | + | 0.271683i | \(0.0875802\pi\) | |||||||
\(102\) | 0.784697 | + | 0.0778840i | 0.0776966 | + | 0.00771167i | ||||
\(103\) | 15.8817 | − | 9.16928i | 1.56487 | − | 0.903476i | 0.568114 | − | 0.822950i | \(-0.307673\pi\) |
0.996752 | − | 0.0805264i | \(-0.0256601\pi\) | |||||||
\(104\) | 1.74646 | + | 4.05463i | 0.171254 | + | 0.397589i | ||||
\(105\) | −8.02212 | + | 5.98621i | −0.782879 | + | 0.584194i | ||||
\(106\) | 4.73954 | − | 11.5952i | 0.460344 | − | 1.12622i | ||||
\(107\) | −3.83045 | + | 2.21151i | −0.370303 | + | 0.213795i | −0.673591 | − | 0.739104i | \(-0.735249\pi\) |
0.303288 | + | 0.952899i | \(0.401916\pi\) | |||||||
\(108\) | 4.35453 | − | 9.43600i | 0.419015 | − | 0.907979i | ||||
\(109\) | −7.04986 | − | 4.07024i | −0.675255 | − | 0.389858i | 0.122810 | − | 0.992430i | \(-0.460809\pi\) |
−0.798065 | + | 0.602572i | \(0.794143\pi\) | |||||||
\(110\) | 0.699274 | + | 5.12633i | 0.0666732 | + | 0.488776i | ||||
\(111\) | 1.30107 | − | 1.37411i | 0.123492 | − | 0.130425i | ||||
\(112\) | 3.83352 | + | 9.86429i | 0.362234 | + | 0.932087i | ||||
\(113\) | 13.4000i | 1.26056i | 0.776367 | + | 0.630281i | \(0.217060\pi\) | ||||
−0.776367 | + | 0.630281i | \(0.782940\pi\) | |||||||
\(114\) | −11.4399 | − | 8.21080i | −1.07145 | − | 0.769012i | ||||
\(115\) | 7.13629 | − | 12.3604i | 0.665463 | − | 1.15262i | ||||
\(116\) | 13.5695 | − | 3.77219i | 1.25990 | − | 0.350239i | ||||
\(117\) | −2.55908 | − | 3.92141i | −0.236587 | − | 0.362535i | ||||
\(118\) | −8.11749 | − | 3.31803i | −0.747275 | − | 0.305449i | ||||
\(119\) | 0.545583 | − | 0.654056i | 0.0500136 | − | 0.0599572i | ||||
\(120\) | −10.0467 | − | 3.68312i | −0.917136 | − | 0.336221i | ||||
\(121\) | −4.09732 | − | 7.09677i | −0.372484 | − | 0.645161i | ||||
\(122\) | −4.91281 | + | 3.80633i | −0.444785 | + | 0.344609i | ||||
\(123\) | −1.70323 | − | 5.72648i | −0.153575 | − | 0.516339i | ||||
\(124\) | −17.3749 | − | 4.48201i | −1.56031 | − | 0.402496i | ||||
\(125\) | 11.4216 | 1.02158 | ||||||||
\(126\) | −5.79178 | − | 9.61537i | −0.515973 | − | 0.856605i | ||||
\(127\) | 12.5356i | 1.11236i | 0.831063 | + | 0.556178i | \(0.187733\pi\) | ||||
−0.831063 | + | 0.556178i | \(0.812267\pi\) | |||||||
\(128\) | −6.59018 | + | 9.19617i | −0.582495 | + | 0.812834i | ||||
\(129\) | −19.3527 | + | 5.75608i | −1.70391 | + | 0.506795i | ||||
\(130\) | −3.81136 | + | 2.95295i | −0.334279 | + | 0.258991i | ||||
\(131\) | 14.8145 | − | 8.55318i | 1.29435 | − | 0.747295i | 0.314930 | − | 0.949115i | \(-0.398019\pi\) |
0.979423 | + | 0.201820i | \(0.0646855\pi\) | |||||||
\(132\) | −5.79820 | + | 0.212553i | −0.504669 | + | 0.0185003i | ||||
\(133\) | −14.2773 | + | 5.24361i | −1.23800 | + | 0.454678i | ||||
\(134\) | −0.766320 | + | 1.87479i | −0.0662000 | + | 0.161957i | ||||
\(135\) | 11.1665 | + | 2.03086i | 0.961057 | + | 0.174789i | ||||
\(136\) | 0.904329 | + | 0.106185i | 0.0775456 | + | 0.00910533i | ||||
\(137\) | −17.9399 | − | 10.3576i | −1.53271 | − | 0.884909i | −0.999236 | − | 0.0390917i | \(-0.987554\pi\) |
−0.533472 | − | 0.845818i | \(-0.679113\pi\) | |||||||
\(138\) | 13.0032 | + | 9.33284i | 1.10691 | + | 0.794465i | ||||
\(139\) | 1.27255 | 0.107936 | 0.0539682 | − | 0.998543i | \(-0.482813\pi\) | ||||
0.0539682 | + | 0.998543i | \(0.482813\pi\) | |||||||
\(140\) | −9.38575 | + | 6.74486i | −0.793241 | + | 0.570045i | ||||
\(141\) | −5.66906 | − | 5.36770i | −0.477421 | − | 0.452042i | ||||
\(142\) | 8.92700 | − | 1.21772i | 0.749137 | − | 0.102189i | ||||
\(143\) | −1.30715 | + | 2.26406i | −0.109310 | + | 0.189330i | ||||
\(144\) | 5.22299 | − | 10.8037i | 0.435249 | − | 0.900310i | ||||
\(145\) | 7.69077 | + | 13.3208i | 0.638684 | + | 1.10623i | ||||
\(146\) | 4.80520 | − | 11.7558i | 0.397681 | − | 0.972918i | ||||
\(147\) | −12.1066 | − | 0.656207i | −0.998534 | − | 0.0541230i | ||||
\(148\) | 1.53059 | − | 1.55946i | 0.125814 | − | 0.128187i | ||||
\(149\) | 2.47136 | + | 4.28052i | 0.202461 | + | 0.350674i | 0.949321 | − | 0.314308i | \(-0.101773\pi\) |
−0.746859 | + | 0.664982i | \(0.768439\pi\) | |||||||
\(150\) | −0.0554239 | + | 0.558407i | −0.00452534 | + | 0.0455937i | ||||
\(151\) | 5.48605 | + | 3.16737i | 0.446448 | + | 0.257757i | 0.706329 | − | 0.707884i | \(-0.250350\pi\) |
−0.259881 | + | 0.965641i | \(0.583683\pi\) | |||||||
\(152\) | −13.0373 | − | 9.71664i | −1.05747 | − | 0.788124i | ||||
\(153\) | −0.964337 | + | 0.0527015i | −0.0779620 | + | 0.00426066i | ||||
\(154\) | −3.32708 | + | 5.31089i | −0.268104 | + | 0.427964i | ||||
\(155\) | − | 19.5966i | − | 1.57404i | ||||||
\(156\) | −2.87320 | − | 4.58038i | −0.230040 | − | 0.366724i | ||||
\(157\) | 2.09256 | + | 1.20814i | 0.167004 | + | 0.0964199i | 0.581172 | − | 0.813780i | \(-0.302594\pi\) |
−0.414168 | + | 0.910200i | \(0.635928\pi\) | |||||||
\(158\) | 4.63168 | − | 3.58851i | 0.368476 | − | 0.285487i | ||||
\(159\) | −3.56476 | + | 14.9218i | −0.282704 | + | 1.18337i | ||||
\(160\) | −11.5227 | − | 4.46049i | −0.910952 | − | 0.352632i | ||||
\(161\) | 16.2284 | − | 5.96017i | 1.27897 | − | 0.469727i | ||||
\(162\) | −3.50318 | + | 12.2363i | −0.275236 | + | 0.961377i | ||||
\(163\) | 4.46077 | + | 7.72628i | 0.349395 | + | 0.605169i | 0.986142 | − | 0.165903i | \(-0.0530539\pi\) |
−0.636747 | + | 0.771072i | \(0.719721\pi\) | |||||||
\(164\) | −1.84769 | − | 6.64661i | −0.144280 | − | 0.519013i | ||||
\(165\) | −1.80648 | − | 6.07363i | −0.140634 | − | 0.472832i | ||||
\(166\) | −1.73261 | − | 12.7016i | −0.134477 | − | 0.985839i | ||||
\(167\) | 7.01131 | 0.542551 | 0.271276 | − | 0.962502i | \(-0.412555\pi\) | ||||
0.271276 | + | 0.962502i | \(0.412555\pi\) | |||||||
\(168\) | −6.48736 | − | 11.2211i | −0.500511 | − | 0.865730i | ||||
\(169\) | 10.5637 | 0.812595 | ||||||||
\(170\) | 0.134403 | + | 0.985297i | 0.0103082 | + | 0.0755688i | ||||
\(171\) | 15.3840 | + | 7.79525i | 1.17644 | + | 0.596118i | ||||
\(172\) | −22.4623 | + | 6.24428i | −1.71274 | + | 0.476122i | ||||
\(173\) | −7.11660 | − | 12.3263i | −0.541065 | − | 0.937152i | −0.998843 | − | 0.0480854i | \(-0.984688\pi\) |
0.457778 | − | 0.889066i | \(-0.348645\pi\) | |||||||
\(174\) | −15.7173 | + | 7.10710i | −1.19152 | + | 0.538788i | ||||
\(175\) | 0.465440 | + | 0.388249i | 0.0351840 | + | 0.0293488i | ||||
\(176\) | −6.69851 | + | 0.125195i | −0.504919 | + | 0.00943693i | ||||
\(177\) | 10.4464 | + | 2.49560i | 0.785196 | + | 0.187581i | ||||
\(178\) | −5.90690 | + | 4.57652i | −0.442741 | + | 0.343025i | ||||
\(179\) | 1.07613 | + | 0.621304i | 0.0804338 | + | 0.0464384i | 0.539677 | − | 0.841872i | \(-0.318546\pi\) |
−0.459244 | + | 0.888310i | \(0.651880\pi\) | |||||||
\(180\) | 12.8498 | + | 2.57615i | 0.957764 | + | 0.192015i | ||||
\(181\) | 20.9487i | 1.55710i | 0.627580 | + | 0.778552i | \(0.284046\pi\) | ||||
−0.627580 | + | 0.778552i | \(0.715954\pi\) | |||||||
\(182\) | −5.83639 | − | 0.210504i | −0.432622 | − | 0.0156036i | ||||
\(183\) | 5.23327 | − | 5.52709i | 0.386855 | − | 0.408574i | ||||
\(184\) | 14.8189 | + | 11.0445i | 1.09247 | + | 0.814209i | ||||
\(185\) | 2.06667 | + | 1.19319i | 0.151945 | + | 0.0877253i | ||||
\(186\) | 21.8689 | + | 2.17057i | 1.60351 | + | 0.159154i | ||||
\(187\) | 0.269600 | + | 0.466960i | 0.0197151 | + | 0.0341475i | ||||
\(188\) | −6.43374 | − | 6.31461i | −0.469228 | − | 0.460541i | ||||
\(189\) | 8.81091 | + | 10.5531i | 0.640899 | + | 0.767625i | ||||
\(190\) | 6.71889 | − | 16.4376i | 0.487440 | − | 1.19251i | ||||
\(191\) | 12.2119 | + | 21.1516i | 0.883621 | + | 1.53048i | 0.847287 | + | 0.531136i | \(0.178235\pi\) |
0.0363339 | + | 0.999340i | \(0.488432\pi\) | |||||||
\(192\) | 6.25398 | − | 12.3648i | 0.451342 | − | 0.892351i | ||||
\(193\) | 0.00662606 | − | 0.0114767i | 0.000476954 | − | 0.000826109i | −0.865787 | − | 0.500413i | \(-0.833182\pi\) |
0.866264 | + | 0.499587i | \(0.166515\pi\) | |||||||
\(194\) | −5.92938 | + | 0.808817i | −0.425705 | + | 0.0580697i | ||||
\(195\) | 4.05998 | − | 4.28792i | 0.290741 | − | 0.307064i | ||||
\(196\) | −13.9636 | − | 1.00858i | −0.997402 | − | 0.0720413i | ||||
\(197\) | 6.48422 | 0.461981 | 0.230991 | − | 0.972956i | \(-0.425803\pi\) | ||||
0.230991 | + | 0.972956i | \(0.425803\pi\) | |||||||
\(198\) | 6.97798 | − | 1.34322i | 0.495904 | − | 0.0954584i | ||||
\(199\) | 4.47013 | + | 2.58083i | 0.316879 | + | 0.182950i | 0.650001 | − | 0.759934i | \(-0.274769\pi\) |
−0.333121 | + | 0.942884i | \(0.608102\pi\) | |||||||
\(200\) | −0.0755638 | + | 0.643539i | −0.00534317 | + | 0.0455051i | ||||
\(201\) | 0.576375 | − | 2.41265i | 0.0406543 | − | 0.170175i | ||||
\(202\) | −2.64478 | + | 6.47039i | −0.186086 | + | 0.455255i | ||||
\(203\) | −3.18193 | + | 18.3578i | −0.223328 | + | 1.28846i | ||||
\(204\) | −1.11443 | + | 0.0408533i | −0.0780259 | + | 0.00286031i | ||||
\(205\) | 6.52478 | − | 3.76708i | 0.455710 | − | 0.263104i | ||||
\(206\) | −20.5014 | + | 15.8840i | −1.42840 | + | 1.10669i | ||||
\(207\) | −17.4863 | − | 8.86051i | −1.21538 | − | 0.615848i | ||||
\(208\) | −3.22220 | − | 5.34768i | −0.223419 | − | 0.370795i | ||||
\(209\) | − | 9.62870i | − | 0.666031i | ||||||
\(210\) | 10.0967 | − | 9.92145i | 0.696738 | − | 0.684645i | ||||
\(211\) | −16.8357 | −1.15902 | −0.579509 | − | 0.814966i | \(-0.696756\pi\) | ||||
−0.579509 | + | 0.814966i | \(0.696756\pi\) | |||||||
\(212\) | −4.42491 | + | 17.1535i | −0.303904 | + | 1.17811i | ||||
\(213\) | −10.5766 | + | 3.14581i | −0.724698 | + | 0.215547i | ||||
\(214\) | 4.94466 | − | 3.83100i | 0.338010 | − | 0.261882i | ||||
\(215\) | −12.7309 | − | 22.0506i | −0.868240 | − | 1.50384i | ||||
\(216\) | −4.29813 | + | 14.0544i | −0.292451 | + | 0.956280i | ||||
\(217\) | 15.2050 | − | 18.2281i | 1.03218 | − | 1.23740i | ||||
\(218\) | 10.6565 | + | 4.35586i | 0.721751 | + | 0.295016i | ||||
\(219\) | −3.61415 | + | 15.1285i | −0.244221 | + | 1.02229i | ||||
\(220\) | −1.95970 | − | 7.04954i | −0.132123 | − | 0.475280i | ||||
\(221\) | −0.251239 | + | 0.435159i | −0.0169002 | + | 0.0292720i | ||||
\(222\) | −1.56046 | + | 2.17415i | −0.104731 | + | 0.145919i | ||||
\(223\) | − | 1.80170i | − | 0.120651i | −0.998179 | − | 0.0603254i | \(-0.980786\pi\) | ||
0.998179 | − | 0.0603254i | \(-0.0192138\pi\) | |||||||
\(224\) | −7.25713 | − | 13.0895i | −0.484888 | − | 0.874576i | ||||
\(225\) | −0.0375035 | − | 0.686242i | −0.00250023 | − | 0.0457495i | ||||
\(226\) | −2.56127 | − | 18.7765i | −0.170373 | − | 1.24899i | ||||
\(227\) | −10.0476 | − | 5.80096i | −0.666879 | − | 0.385023i | 0.128014 | − | 0.991772i | \(-0.459140\pi\) |
−0.794893 | + | 0.606749i | \(0.792473\pi\) | |||||||
\(228\) | 17.5994 | + | 9.31865i | 1.16555 | + | 0.617142i | ||||
\(229\) | 8.50697 | − | 4.91150i | 0.562156 | − | 0.324561i | −0.191854 | − | 0.981423i | \(-0.561450\pi\) |
0.754010 | + | 0.656862i | \(0.228117\pi\) | |||||||
\(230\) | −7.63706 | + | 18.6839i | −0.503573 | + | 1.23198i | ||||
\(231\) | 3.03220 | − | 7.05112i | 0.199504 | − | 0.463930i | ||||
\(232\) | −18.2931 | + | 7.87942i | −1.20100 | + | 0.517309i | ||||
\(233\) | −6.94161 | + | 4.00774i | −0.454760 | + | 0.262556i | −0.709838 | − | 0.704365i | \(-0.751232\pi\) |
0.255079 | + | 0.966920i | \(0.417899\pi\) | |||||||
\(234\) | 4.33542 | + | 5.00569i | 0.283415 | + | 0.327232i | ||||
\(235\) | 4.92265 | − | 8.52627i | 0.321118 | − | 0.556193i | ||||
\(236\) | 12.0087 | + | 3.09776i | 0.781702 | + | 0.201647i | ||||
\(237\) | −4.93380 | + | 5.21080i | −0.320485 | + | 0.338478i | ||||
\(238\) | −0.639475 | + | 1.02077i | −0.0414510 | + | 0.0661667i | ||||
\(239\) | −6.02441 | −0.389686 | −0.194843 | − | 0.980834i | \(-0.562420\pi\) | ||||
−0.194843 | + | 0.980834i | \(0.562420\pi\) | |||||||
\(240\) | 14.7818 | + | 3.24058i | 0.954163 | + | 0.209179i | ||||
\(241\) | 5.11917 | − | 8.86666i | 0.329755 | − | 0.571152i | −0.652708 | − | 0.757609i | \(-0.726367\pi\) |
0.982463 | + | 0.186457i | \(0.0597006\pi\) | |||||||
\(242\) | 7.09780 | + | 9.16109i | 0.456264 | + | 0.588897i | ||||
\(243\) | 1.94826 | − | 15.4662i | 0.124981 | − | 0.992159i | ||||
\(244\) | 6.15647 | − | 6.27261i | 0.394128 | − | 0.401563i | ||||
\(245\) | −2.74260 | − | 15.0417i | −0.175218 | − | 0.960979i | ||||
\(246\) | 3.48119 | + | 7.69860i | 0.221953 | + | 0.490845i | ||||
\(247\) | 7.77081 | − | 4.48648i | 0.494445 | − | 0.285468i | ||||
\(248\) | 25.2030 | + | 2.95931i | 1.60039 | + | 0.187917i | ||||
\(249\) | 4.47597 | + | 15.0488i | 0.283653 | + | 0.953678i | ||||
\(250\) | −16.0044 | + | 2.18313i | −1.01220 | + | 0.138073i | ||||
\(251\) | 9.97684i | 0.629733i | 0.949136 | + | 0.314866i | \(0.101960\pi\) | ||||
−0.949136 | + | 0.314866i | \(0.898040\pi\) | |||||||
\(252\) | 9.95355 | + | 12.3664i | 0.627014 | + | 0.779008i | ||||
\(253\) | 10.9445i | 0.688075i | ||||||||
\(254\) | −2.39606 | − | 17.5654i | −0.150342 | − | 1.10215i | ||||
\(255\) | −0.347212 | − | 1.16737i | −0.0217432 | − | 0.0731036i | ||||
\(256\) | 7.47664 | − | 14.1457i | 0.467290 | − | 0.884104i | ||||
\(257\) | −17.1555 | + | 9.90475i | −1.07013 | + | 0.617841i | −0.928218 | − | 0.372038i | \(-0.878659\pi\) |
−0.141915 | + | 0.989879i | \(0.545326\pi\) | |||||||
\(258\) | 26.0175 | − | 11.7647i | 1.61978 | − | 0.732439i | ||||
\(259\) | 0.996544 | + | 2.71339i | 0.0619222 | + | 0.168602i | ||||
\(260\) | 4.77619 | − | 4.86629i | 0.296207 | − | 0.301795i | ||||
\(261\) | 17.6921 | − | 11.5457i | 1.09511 | − | 0.714662i | ||||
\(262\) | −19.1238 | + | 14.8167i | −1.18147 | + | 0.915379i | ||||
\(263\) | 3.41780 | − | 5.91981i | 0.210751 | − | 0.365031i | −0.741199 | − | 0.671285i | \(-0.765742\pi\) |
0.951950 | + | 0.306254i | \(0.0990758\pi\) | |||||||
\(264\) | 8.08403 | − | 1.40611i | 0.497538 | − | 0.0865400i | ||||
\(265\) | −19.3470 | −1.18847 | ||||||||
\(266\) | 19.0036 | − | 10.0765i | 1.16519 | − | 0.617830i | ||||
\(267\) | 6.29220 | − | 6.64546i | 0.385077 | − | 0.406696i | ||||
\(268\) | 0.715449 | − | 2.77350i | 0.0437030 | − | 0.169418i | ||||
\(269\) | −12.0822 | + | 20.9270i | −0.736665 | + | 1.27594i | 0.217324 | + | 0.976099i | \(0.430267\pi\) |
−0.953989 | + | 0.299842i | \(0.903066\pi\) | |||||||
\(270\) | −16.0351 | − | 0.711355i | −0.975863 | − | 0.0432917i | ||||
\(271\) | −15.2835 | + | 8.82392i | −0.928405 | + | 0.536015i | −0.886307 | − | 0.463099i | \(-0.846738\pi\) |
−0.0420983 | + | 0.999113i | \(0.513404\pi\) | |||||||
\(272\) | −1.28748 | + | 0.0240629i | −0.0780647 | + | 0.00145903i | ||||
\(273\) | 7.10344 | − | 0.838329i | 0.429919 | − | 0.0507380i | ||||
\(274\) | 27.1178 | + | 11.0844i | 1.63825 | + | 0.669634i | ||||
\(275\) | −0.332299 | + | 0.191853i | −0.0200384 | + | 0.0115692i | ||||
\(276\) | −20.0045 | − | 10.5921i | −1.20413 | − | 0.637569i | ||||
\(277\) | 12.9250 | + | 7.46224i | 0.776587 | + | 0.448363i | 0.835219 | − | 0.549917i | \(-0.185341\pi\) |
−0.0586324 | + | 0.998280i | \(0.518674\pi\) | |||||||
\(278\) | −1.78314 | + | 0.243236i | −0.106946 | + | 0.0145883i | ||||
\(279\) | −26.8754 | + | 1.46875i | −1.60899 | + | 0.0879320i | ||||
\(280\) | 11.8624 | − | 11.2451i | 0.708917 | − | 0.672026i | ||||
\(281\) | 13.8890i | 0.828547i | 0.910152 | + | 0.414273i | \(0.135964\pi\) | ||||
−0.910152 | + | 0.414273i | \(0.864036\pi\) | |||||||
\(282\) | 8.96968 | + | 6.43784i | 0.534137 | + | 0.383368i | ||||
\(283\) | 2.88865 | − | 5.00329i | 0.171712 | − | 0.297415i | −0.767306 | − | 0.641281i | \(-0.778403\pi\) |
0.939019 | + | 0.343866i | \(0.111737\pi\) | |||||||
\(284\) | −12.2761 | + | 3.41262i | −0.728451 | + | 0.202502i | ||||
\(285\) | −5.05350 | + | 21.1535i | −0.299343 | + | 1.25303i | ||||
\(286\) | 1.39888 | − | 3.42233i | 0.0827175 | − | 0.202367i | ||||
\(287\) | 8.99199 | + | 1.55857i | 0.530780 | + | 0.0919994i | ||||
\(288\) | −5.25362 | + | 16.1369i | −0.309572 | + | 0.950876i | ||||
\(289\) | −8.44818 | − | 14.6327i | −0.496952 | − | 0.860746i | ||||
\(290\) | −13.3227 | − | 17.1956i | −0.782338 | − | 1.00976i | ||||
\(291\) | 7.02508 | − | 2.08947i | 0.411817 | − | 0.122487i | ||||
\(292\) | −4.48621 | + | 17.3912i | −0.262535 | + | 1.01774i | ||||
\(293\) | −15.6381 | −0.913587 | −0.456794 | − | 0.889573i | \(-0.651002\pi\) | ||||
−0.456794 | + | 0.889573i | \(0.651002\pi\) | |||||||
\(294\) | 17.0896 | − | 1.39456i | 0.996687 | − | 0.0813322i | ||||
\(295\) | 13.5443i | 0.788581i | ||||||||
\(296\) | −1.84664 | + | 2.47774i | −0.107334 | + | 0.144015i | ||||
\(297\) | −8.19415 | + | 2.93267i | −0.475473 | + | 0.170171i | ||||
\(298\) | −4.28114 | − | 5.52564i | −0.248000 | − | 0.320092i | ||||
\(299\) | −8.83273 | + | 5.09958i | −0.510810 | + | 0.294916i | ||||
\(300\) | −0.0290721 | − | 0.793054i | −0.00167848 | − | 0.0457870i | ||||
\(301\) | 5.26720 | − | 30.3885i | 0.303597 | − | 1.75157i | ||||
\(302\) | −8.29267 | − | 3.38963i | −0.477190 | − | 0.195052i | ||||
\(303\) | 1.98922 | − | 8.32672i | 0.114278 | − | 0.478358i | ||||
\(304\) | 20.1256 | + | 11.1234i | 1.15428 | + | 0.637968i | ||||
\(305\) | 8.31274 | + | 4.79936i | 0.475986 | + | 0.274811i | ||||
\(306\) | 1.34119 | − | 0.258171i | 0.0766708 | − | 0.0147587i | ||||
\(307\) | 7.19887 | 0.410861 | 0.205430 | − | 0.978672i | \(-0.434141\pi\) | ||||
0.205430 | + | 0.978672i | \(0.434141\pi\) | |||||||
\(308\) | 3.64690 | − | 8.07776i | 0.207801 | − | 0.460273i | ||||
\(309\) | 21.8387 | − | 23.0647i | 1.24236 | − | 1.31211i | ||||
\(310\) | 3.74571 | + | 27.4595i | 0.212742 | + | 1.55960i | ||||
\(311\) | 4.35089 | − | 7.53597i | 0.246717 | − | 0.427326i | −0.715896 | − | 0.698207i | \(-0.753982\pi\) |
0.962613 | + | 0.270881i | \(0.0873150\pi\) | |||||||
\(312\) | 4.90154 | + | 5.86901i | 0.277495 | + | 0.332267i | ||||
\(313\) | 9.57541 | + | 16.5851i | 0.541234 | + | 0.937445i | 0.998834 | + | 0.0482863i | \(0.0153760\pi\) |
−0.457600 | + | 0.889158i | \(0.651291\pi\) | |||||||
\(314\) | −3.16309 | − | 1.29292i | −0.178504 | − | 0.0729634i | ||||
\(315\) | −10.3622 | + | 13.8994i | −0.583844 | + | 0.783140i | ||||
\(316\) | −5.80417 | + | 5.91366i | −0.326510 | + | 0.332669i | ||||
\(317\) | 1.83178 | + | 3.17274i | 0.102883 | + | 0.178199i | 0.912871 | − | 0.408247i | \(-0.133860\pi\) |
−0.809988 | + | 0.586446i | \(0.800527\pi\) | |||||||
\(318\) | 2.14292 | − | 21.5903i | 0.120169 | − | 1.21073i | ||||
\(319\) | −10.2147 | − | 5.89744i | −0.571911 | − | 0.330193i | ||||
\(320\) | 16.9987 | + | 4.04774i | 0.950253 | + | 0.226275i | ||||
\(321\) | −5.26720 | + | 5.56291i | −0.293986 | + | 0.310491i | ||||
\(322\) | −21.6006 | + | 11.4535i | −1.20375 | + | 0.638279i | ||||
\(323\) | − | 1.85067i | − | 0.102974i | ||||||
\(324\) | 2.56992 | − | 17.8156i | 0.142774 | − | 0.989755i | ||||
\(325\) | −0.309668 | − | 0.178787i | −0.0171773 | − | 0.00991732i | ||||
\(326\) | −7.72741 | − | 9.97372i | −0.427981 | − | 0.552393i | ||||
\(327\) | −13.7138 | − | 3.27618i | −0.758376 | − | 0.181173i | ||||
\(328\) | 3.85949 | + | 8.96031i | 0.213104 | + | 0.494751i | ||||
\(329\) | 11.1944 | − | 4.11135i | 0.617167 | − | 0.226666i | ||||
\(330\) | 3.69223 | + | 8.16531i | 0.203250 | + | 0.449485i | ||||
\(331\) | 5.41365 | + | 9.37672i | 0.297561 | + | 0.515391i | 0.975577 | − | 0.219656i | \(-0.0704934\pi\) |
−0.678016 | + | 0.735047i | \(0.737160\pi\) | |||||||
\(332\) | 4.85560 | + | 17.4668i | 0.266485 | + | 0.958617i | ||||
\(333\) | 1.48148 | − | 2.92372i | 0.0811847 | − | 0.160219i | ||||
\(334\) | −9.82450 | + | 1.34014i | −0.537573 | + | 0.0733294i | ||||
\(335\) | 3.12815 | 0.170909 | ||||||||
\(336\) | 11.2351 | + | 14.4835i | 0.612928 | + | 0.790139i | ||||
\(337\) | −20.0426 | −1.09179 | −0.545894 | − | 0.837854i | \(-0.683810\pi\) | ||||
−0.545894 | + | 0.837854i | \(0.683810\pi\) | |||||||
\(338\) | −14.8023 | + | 2.01916i | −0.805139 | + | 0.109828i | ||||
\(339\) | 6.61670 | + | 22.2462i | 0.359370 | + | 1.20825i | ||||
\(340\) | −0.376660 | − | 1.35495i | −0.0204273 | − | 0.0734822i | ||||
\(341\) | 7.51355 | + | 13.0139i | 0.406882 | + | 0.704740i | ||||
\(342\) | −23.0466 | − | 7.98249i | −1.24622 | − | 0.431644i | ||||
\(343\) | 9.11979 | − | 16.1192i | 0.492422 | − | 0.870357i | ||||
\(344\) | 30.2815 | − | 13.0432i | 1.63267 | − | 0.703241i | ||||
\(345\) | 5.74408 | − | 24.0442i | 0.309251 | − | 1.29450i | ||||
\(346\) | 12.3281 | + | 15.9118i | 0.662762 | + | 0.855424i | ||||
\(347\) | 5.06136 | + | 2.92218i | 0.271708 | + | 0.156871i | 0.629664 | − | 0.776868i | \(-0.283193\pi\) |
−0.357955 | + | 0.933739i | \(0.616526\pi\) | |||||||
\(348\) | 20.6651 | − | 12.9629i | 1.10777 | − | 0.694886i | ||||
\(349\) | − | 18.6166i | − | 0.996526i | −0.867026 | − | 0.498263i | \(-0.833971\pi\) | ||
0.867026 | − | 0.498263i | \(-0.166029\pi\) | |||||||
\(350\) | −0.726402 | − | 0.455064i | −0.0388278 | − | 0.0243242i | ||||
\(351\) | −6.18486 | − | 5.24659i | −0.330123 | − | 0.280042i | ||||
\(352\) | 9.36228 | − | 1.45578i | 0.499011 | − | 0.0775936i | ||||
\(353\) | −5.78219 | − | 3.33835i | −0.307755 | − | 0.177682i | 0.338167 | − | 0.941086i | \(-0.390193\pi\) |
−0.645921 | + | 0.763404i | \(0.723527\pi\) | |||||||
\(354\) | −15.1148 | − | 1.50020i | −0.803344 | − | 0.0797349i | ||||
\(355\) | −6.95768 | − | 12.0511i | −0.369275 | − | 0.639603i | ||||
\(356\) | 7.40220 | − | 7.54184i | 0.392316 | − | 0.399717i | ||||
\(357\) | 0.582800 | − | 1.35525i | 0.0308450 | − | 0.0717273i | ||||
\(358\) | −1.62667 | − | 0.664902i | −0.0859722 | − | 0.0351412i | ||||
\(359\) | −12.1282 | − | 21.0067i | −0.640102 | − | 1.10869i | −0.985410 | − | 0.170200i | \(-0.945559\pi\) |
0.345307 | − | 0.938490i | \(-0.387775\pi\) | |||||||
\(360\) | −18.4980 | − | 1.15369i | −0.974928 | − | 0.0608046i | ||||
\(361\) | −7.02406 | + | 12.1660i | −0.369687 | + | 0.640317i | ||||
\(362\) | −4.00414 | − | 29.3541i | −0.210453 | − | 1.54282i | ||||
\(363\) | −10.3065 | − | 9.75866i | −0.540953 | − | 0.512197i | ||||
\(364\) | 8.21840 | − | 0.820604i | 0.430761 | − | 0.0430113i | ||||
\(365\) | −19.6150 | −1.02670 | ||||||||
\(366\) | −6.27661 | + | 8.74505i | −0.328084 | + | 0.457111i | ||||
\(367\) | −6.54864 | − | 3.78086i | −0.341836 | − | 0.197359i | 0.319248 | − | 0.947671i | \(-0.396570\pi\) |
−0.661084 | + | 0.750312i | \(0.729903\pi\) | |||||||
\(368\) | −22.8759 | − | 12.6434i | −1.19249 | − | 0.659084i | ||||
\(369\) | −5.65531 | − | 8.66592i | −0.294404 | − | 0.451130i | ||||
\(370\) | −3.12396 | − | 1.27692i | −0.162407 | − | 0.0663840i | ||||
\(371\) | −17.9958 | − | 15.0113i | −0.934298 | − | 0.779348i | ||||
\(372\) | −31.0585 | + | 1.13855i | −1.61031 | + | 0.0590313i | ||||
\(373\) | −16.9620 | + | 9.79302i | −0.878260 | + | 0.507063i | −0.870084 | − | 0.492903i | \(-0.835936\pi\) |
−0.00817543 | + | 0.999967i | \(0.502602\pi\) | |||||||
\(374\) | −0.467028 | − | 0.602791i | −0.0241494 | − | 0.0311696i | ||||
\(375\) | 18.9618 | − | 5.63982i | 0.979184 | − | 0.291239i | ||||
\(376\) | 10.2222 | + | 7.61852i | 0.527168 | + | 0.392895i | ||||
\(377\) | − | 10.9916i | − | 0.566097i | ||||||
\(378\) | −14.3633 | − | 13.1033i | −0.738768 | − | 0.673960i | ||||
\(379\) | 4.99759 | 0.256709 | 0.128354 | − | 0.991728i | \(-0.459031\pi\) | ||||
0.128354 | + | 0.991728i | \(0.459031\pi\) | |||||||
\(380\) | −6.27286 | + | 24.3173i | −0.321791 | + | 1.24745i | ||||
\(381\) | 6.18991 | + | 20.8113i | 0.317119 | + | 1.06620i | ||||
\(382\) | −21.1547 | − | 27.3042i | −1.08237 | − | 1.39701i | ||||
\(383\) | 15.1532 | + | 26.2461i | 0.774292 | + | 1.34111i | 0.935192 | + | 0.354142i | \(0.115227\pi\) |
−0.160900 | + | 0.986971i | \(0.551440\pi\) | |||||||
\(384\) | −6.39990 | + | 18.5214i | −0.326594 | + | 0.945165i | ||||
\(385\) | 9.53710 | + | 1.65305i | 0.486056 | + | 0.0842474i | ||||
\(386\) | −0.00709102 | + | 0.0173480i | −0.000360924 | + | 0.000882992i | ||||
\(387\) | −29.2866 | + | 19.1122i | −1.48872 | + | 0.971527i | ||||
\(388\) | 8.15387 | − | 2.26669i | 0.413950 | − | 0.115074i | ||||
\(389\) | 2.13059 | − | 3.69030i | 0.108025 | − | 0.187106i | −0.806945 | − | 0.590627i | \(-0.798881\pi\) |
0.914970 | + | 0.403521i | \(0.132214\pi\) | |||||||
\(390\) | −4.86940 | + | 6.78441i | −0.246571 | + | 0.343542i | ||||
\(391\) | 2.10357i | 0.106382i | ||||||||
\(392\) | 19.7591 | − | 1.25576i | 0.997987 | − | 0.0634253i | ||||
\(393\) | 20.3713 | − | 21.5150i | 1.02760 | − | 1.08529i | ||||
\(394\) | −9.08592 | + | 1.23940i | −0.457742 | + | 0.0624399i | ||||
\(395\) | −7.83704 | − | 4.52472i | −0.394324 | − | 0.227663i | ||||
\(396\) | −9.52106 | + | 3.21594i | −0.478452 | + | 0.161607i | ||||
\(397\) | 17.1398 | − | 9.89568i | 0.860223 | − | 0.496650i | −0.00386406 | − | 0.999993i | \(-0.501230\pi\) |
0.864087 | + | 0.503343i | \(0.167897\pi\) | |||||||
\(398\) | −6.75702 | − | 2.76194i | −0.338699 | − | 0.138443i | ||||
\(399\) | −21.1136 | + | 15.7552i | −1.05700 | + | 0.788748i | ||||
\(400\) | −0.0171236 | − | 0.916195i | −0.000856182 | − | 0.0458097i | ||||
\(401\) | −1.98773 | + | 1.14762i | −0.0992627 | + | 0.0573094i | −0.548810 | − | 0.835947i | \(-0.684919\pi\) |
0.449547 | + | 0.893257i | \(0.351585\pi\) | |||||||
\(402\) | −0.346481 | + | 3.49087i | −0.0172809 | + | 0.174109i | ||||
\(403\) | −7.00186 | + | 12.1276i | −0.348787 | + | 0.604118i | ||||
\(404\) | 2.46921 | − | 9.57208i | 0.122848 | − | 0.476229i | ||||
\(405\) | 19.5411 | − | 2.14226i | 0.971005 | − | 0.106450i | ||||
\(406\) | 0.949723 | − | 26.3318i | 0.0471339 | − | 1.30683i | ||||
\(407\) | −1.82993 | −0.0907062 | ||||||||
\(408\) | 1.55378 | − | 0.270258i | 0.0769234 | − | 0.0133798i | ||||
\(409\) | −0.750621 | + | 1.30011i | −0.0371158 | + | 0.0642865i | −0.883987 | − | 0.467512i | \(-0.845150\pi\) |
0.846871 | + | 0.531799i | \(0.178484\pi\) | |||||||
\(410\) | −8.42272 | + | 6.52572i | −0.415968 | + | 0.322283i | ||||
\(411\) | −34.8978 | − | 8.33695i | −1.72138 | − | 0.411231i | ||||
\(412\) | 25.6912 | − | 26.1758i | 1.26571 | − | 1.28959i | ||||
\(413\) | −10.5090 | + | 12.5984i | −0.517116 | + | 0.619928i | ||||
\(414\) | 26.1960 | + | 9.07333i | 1.28746 | + | 0.445930i | ||||
\(415\) | −17.1467 | + | 9.89963i | −0.841696 | + | 0.485954i | ||||
\(416\) | 5.53723 | + | 6.87747i | 0.271485 | + | 0.337196i | ||||
\(417\) | 2.11265 | − | 0.628367i | 0.103457 | − | 0.0307713i | ||||
\(418\) | 1.84043 | + | 13.4921i | 0.0900186 | + | 0.659920i | ||||
\(419\) | 8.44514i | 0.412572i | 0.978492 | + | 0.206286i | \(0.0661378\pi\) | ||||
−0.978492 | + | 0.206286i | \(0.933862\pi\) | |||||||
\(420\) | −12.2515 | + | 15.8322i | −0.597810 | + | 0.772532i | ||||
\(421\) | 13.9326i | 0.679032i | 0.940600 | + | 0.339516i | \(0.110263\pi\) | ||||
−0.940600 | + | 0.339516i | \(0.889737\pi\) | |||||||
\(422\) | 23.5908 | − | 3.21799i | 1.14838 | − | 0.156649i | ||||
\(423\) | −12.0621 | − | 6.11202i | −0.586480 | − | 0.297176i | ||||
\(424\) | 2.92161 | − | 24.8819i | 0.141886 | − | 1.20837i | ||||
\(425\) | −0.0638689 | + | 0.0368747i | −0.00309809 | + | 0.00178869i | ||||
\(426\) | 14.2191 | − | 6.42964i | 0.688916 | − | 0.311517i | ||||
\(427\) | 4.00839 | + | 10.9140i | 0.193979 | + | 0.528168i | ||||
\(428\) | −6.19638 | + | 6.31327i | −0.299513 | + | 0.305163i | ||||
\(429\) | −1.05214 | + | 4.40418i | −0.0507979 | + | 0.212636i | ||||
\(430\) | 22.0538 | + | 28.4647i | 1.06353 | + | 1.37269i | ||||
\(431\) | 16.9743 | − | 29.4004i | 0.817624 | − | 1.41617i | −0.0898039 | − | 0.995959i | \(-0.528624\pi\) |
0.907428 | − | 0.420207i | \(-0.138043\pi\) | |||||||
\(432\) | 3.33634 | − | 20.5151i | 0.160520 | − | 0.987033i | ||||
\(433\) | 4.44336 | 0.213534 | 0.106767 | − | 0.994284i | \(-0.465950\pi\) | ||||
0.106767 | + | 0.994284i | \(0.465950\pi\) | |||||||
\(434\) | −17.8217 | + | 28.4482i | −0.855470 | + | 1.36556i | ||||
\(435\) | 19.3456 | + | 18.3173i | 0.927552 | + | 0.878245i | ||||
\(436\) | −15.7649 | − | 4.06670i | −0.755001 | − | 0.194760i | ||||
\(437\) | 18.7822 | − | 32.5316i | 0.898472 | − | 1.55620i | ||||
\(438\) | 2.17261 | − | 21.8894i | 0.103811 | − | 1.04592i | ||||
\(439\) | −7.55680 | + | 4.36292i | −0.360667 | + | 0.208231i | −0.669373 | − | 0.742926i | \(-0.733437\pi\) |
0.308707 | + | 0.951157i | \(0.400104\pi\) | |||||||
\(440\) | 4.09346 | + | 9.50351i | 0.195148 | + | 0.453062i | ||||
\(441\) | −20.4231 | + | 4.88864i | −0.972526 | + | 0.232792i | ||||
\(442\) | 0.268869 | − | 0.657783i | 0.0127888 | − | 0.0312875i | ||||
\(443\) | 32.0121 | − | 18.4822i | 1.52094 | − | 0.878115i | 0.521244 | − | 0.853407i | \(-0.325468\pi\) |
0.999695 | − | 0.0247072i | \(-0.00786534\pi\) | |||||||
\(444\) | 1.77100 | − | 3.34476i | 0.0840481 | − | 0.158735i | ||||
\(445\) | 9.99478 | + | 5.77049i | 0.473798 | + | 0.273548i | ||||
\(446\) | 0.344378 | + | 2.52461i | 0.0163068 | + | 0.119544i | ||||
\(447\) | 6.21654 | + | 5.88608i | 0.294032 | + | 0.278402i | ||||
\(448\) | 12.6709 | + | 16.9543i | 0.598643 | + | 0.801016i | ||||
\(449\) | 23.4269i | 1.10559i | 0.833319 | + | 0.552793i | \(0.186438\pi\) | ||||
−0.833319 | + | 0.552793i | \(0.813562\pi\) | |||||||
\(450\) | 0.183720 | + | 0.954419i | 0.00866064 | + | 0.0449918i | ||||
\(451\) | −2.88868 | + | 5.00333i | −0.136022 | + | 0.235598i | ||||
\(452\) | 7.17790 | + | 25.8208i | 0.337620 | + | 1.21451i | ||||
\(453\) | 10.6718 | + | 2.54945i | 0.501405 | + | 0.119784i | ||||
\(454\) | 15.1878 | + | 6.20802i | 0.712799 | + | 0.291357i | ||||
\(455\) | 3.10971 | + | 8.46712i | 0.145785 | + | 0.396945i | ||||
\(456\) | −26.4422 | − | 9.69367i | −1.23827 | − | 0.453948i | ||||
\(457\) | 0.661376 | + | 1.14554i | 0.0309378 | + | 0.0535859i | 0.881080 | − | 0.472968i | \(-0.156817\pi\) |
−0.850142 | + | 0.526554i | \(0.823484\pi\) | |||||||
\(458\) | −10.9815 | + | 8.50820i | −0.513131 | + | 0.397562i | ||||
\(459\) | −1.57494 | + | 0.563669i | −0.0735120 | + | 0.0263098i | ||||
\(460\) | 7.13008 | − | 27.6403i | 0.332442 | − | 1.28874i | ||||
\(461\) | −23.5461 | −1.09665 | −0.548325 | − | 0.836266i | \(-0.684734\pi\) | ||||
−0.548325 | + | 0.836266i | \(0.684734\pi\) | |||||||
\(462\) | −2.90108 | + | 10.4599i | −0.134971 | + | 0.486637i | ||||
\(463\) | − | 14.4502i | − | 0.671557i | −0.941941 | − | 0.335778i | \(-0.891001\pi\) | ||
0.941941 | − | 0.335778i | \(-0.108999\pi\) | |||||||
\(464\) | 24.1269 | − | 14.5375i | 1.12006 | − | 0.674886i | ||||
\(465\) | −9.67654 | − | 32.5338i | −0.448739 | − | 1.50872i | ||||
\(466\) | 8.96079 | − | 6.94261i | 0.415101 | − | 0.321610i | ||||
\(467\) | 13.0084 | − | 7.51039i | 0.601956 | − | 0.347540i | −0.167855 | − | 0.985812i | \(-0.553684\pi\) |
0.769811 | + | 0.638272i | \(0.220351\pi\) | |||||||
\(468\) | −7.03174 | − | 6.18548i | −0.325042 | − | 0.285924i | ||||
\(469\) | 2.90969 | + | 2.42713i | 0.134357 | + | 0.112074i | ||||
\(470\) | −5.26808 | + | 12.8882i | −0.242998 | + | 0.594491i | ||||
\(471\) | 4.07057 | + | 0.972444i | 0.187562 | + | 0.0448079i | ||||
\(472\) | −17.4192 | − | 2.04535i | −0.801783 | − | 0.0941447i | ||||
\(473\) | 16.9088 | + | 9.76231i | 0.777468 | + | 0.448872i | ||||
\(474\) | 5.91743 | − | 8.24461i | 0.271797 | − | 0.378687i | ||||
\(475\) | 1.31697 | 0.0604269 | ||||||||
\(476\) | 0.700946 | − | 1.55257i | 0.0321278 | − | 0.0711620i | ||||
\(477\) | 1.45004 | + | 26.5330i | 0.0663928 | + | 1.21486i | ||||
\(478\) | 8.44162 | − | 1.15151i | 0.386111 | − | 0.0526687i | ||||
\(479\) | −10.9550 | + | 18.9745i | −0.500545 | + | 0.866969i | 0.499455 | + | 0.866340i | \(0.333534\pi\) |
−1.00000 | 0.000629369i | \(0.999800\pi\) | ||||||||
\(480\) | −21.3322 | − | 1.71542i | −0.973679 | − | 0.0782980i | ||||
\(481\) | −0.852653 | − | 1.47684i | −0.0388776 | − | 0.0673380i | ||||
\(482\) | −5.47839 | + | 13.4028i | −0.249534 | + | 0.610480i | ||||
\(483\) | 23.9989 | − | 17.9083i | 1.09199 | − | 0.814854i | ||||
\(484\) | −11.6967 | − | 11.4802i | −0.531670 | − | 0.521826i | ||||
\(485\) | 4.62134 | + | 8.00440i | 0.209844 | + | 0.363461i | ||||
\(486\) | 0.226243 | + | 22.0442i | 0.0102626 | + | 0.999947i | ||||
\(487\) | 9.51388 | + | 5.49284i | 0.431115 | + | 0.248904i | 0.699821 | − | 0.714318i | \(-0.253263\pi\) |
−0.268707 | + | 0.963222i | \(0.586596\pi\) | |||||||
\(488\) | −7.42773 | + | 9.96617i | −0.336237 | + | 0.451147i | ||||
\(489\) | 11.2208 | + | 10.6243i | 0.507421 | + | 0.480448i | ||||
\(490\) | 6.71811 | + | 20.5528i | 0.303493 | + | 0.928479i | ||||
\(491\) | − | 32.3525i | − | 1.46005i | −0.683422 | − | 0.730024i | \(-0.739509\pi\) | ||
0.683422 | − | 0.730024i | \(-0.260491\pi\) | |||||||
\(492\) | −6.34949 | − | 10.1222i | −0.286257 | − | 0.456343i | ||||
\(493\) | −1.96329 | − | 1.13351i | −0.0884222 | − | 0.0510506i | ||||
\(494\) | −10.0312 | + | 7.77194i | −0.451325 | + | 0.349676i | ||||
\(495\) | −5.99814 | − | 9.19127i | −0.269597 | − | 0.413117i | ||||
\(496\) | −35.8810 | + | 0.670615i | −1.61111 | + | 0.0301115i | ||||
\(497\) | 2.87863 | − | 16.6079i | 0.129124 | − | 0.744967i | ||||
\(498\) | −9.14832 | − | 20.2314i | −0.409946 | − | 0.906590i | ||||
\(499\) | −7.10372 | − | 12.3040i | −0.318006 | − | 0.550803i | 0.662066 | − | 0.749446i | \(-0.269680\pi\) |
−0.980072 | + | 0.198643i | \(0.936347\pi\) | |||||||
\(500\) | 22.0086 | − | 6.11816i | 0.984255 | − | 0.273613i | ||||
\(501\) | 11.6400 | − | 3.46208i | 0.520036 | − | 0.154674i | ||||
\(502\) | −1.90698 | − | 13.9799i | −0.0851126 | − | 0.623954i | ||||
\(503\) | 33.4106 | 1.48970 | 0.744852 | − | 0.667229i | \(-0.232520\pi\) | ||||
0.744852 | + | 0.667229i | \(0.232520\pi\) | |||||||
\(504\) | −16.3110 | − | 15.4257i | −0.726549 | − | 0.687114i | ||||
\(505\) | 10.7961 | 0.480419 | ||||||||
\(506\) | −2.09194 | − | 15.3359i | −0.0929980 | − | 0.681762i | ||||
\(507\) | 17.5376 | − | 5.21622i | 0.778873 | − | 0.231660i | ||||
\(508\) | 6.71491 | + | 24.1553i | 0.297926 | + | 1.07172i | ||||
\(509\) | 8.44815 | + | 14.6326i | 0.374458 | + | 0.648580i | 0.990246 | − | 0.139332i | \(-0.0444956\pi\) |
−0.615788 | + | 0.787912i | \(0.711162\pi\) | |||||||
\(510\) | 0.709658 | + | 1.56940i | 0.0314242 | + | 0.0694941i | ||||
\(511\) | −18.2452 | − | 15.2193i | −0.807118 | − | 0.673261i | ||||
\(512\) | −7.77274 | + | 21.2505i | −0.343510 | + | 0.939149i | ||||
\(513\) | 29.3893 | + | 5.34507i | 1.29757 | + | 0.235991i | ||||
\(514\) | 22.1458 | − | 17.1580i | 0.976808 | − | 0.756808i | ||||
\(515\) | 34.6894 | + | 20.0279i | 1.52860 | + | 0.882536i | ||||
\(516\) | −34.2080 | + | 21.4582i | −1.50592 | + | 0.944643i | ||||
\(517\) | 7.54957i | 0.332030i | ||||||||
\(518\) | −1.91503 | − | 3.61163i | −0.0841418 | − | 0.158686i | ||||
\(519\) | −17.9013 | − | 16.9497i | −0.785781 | − | 0.744011i | ||||
\(520\) | −5.76243 | + | 7.73176i | −0.252699 | + | 0.339060i | ||||
\(521\) | 31.0684 | + | 17.9374i | 1.36113 | + | 0.785850i | 0.989775 | − | 0.142639i | \(-0.0455589\pi\) |
0.371358 | + | 0.928490i | \(0.378892\pi\) | |||||||
\(522\) | −22.5840 | + | 19.5600i | −0.988474 | + | 0.856117i | ||||
\(523\) | −1.10840 | − | 1.91980i | −0.0484669 | − | 0.0839471i | 0.840774 | − | 0.541386i | \(-0.182100\pi\) |
−0.889241 | + | 0.457439i | \(0.848767\pi\) | |||||||
\(524\) | 23.9650 | − | 24.4170i | 1.04691 | − | 1.06666i | ||||
\(525\) | 0.964423 | + | 0.414732i | 0.0420909 | + | 0.0181004i | ||||
\(526\) | −3.65764 | + | 8.94834i | −0.159481 | + | 0.390166i | ||||
\(527\) | 1.44413 | + | 2.50130i | 0.0629072 | + | 0.108959i | ||||
\(528\) | −11.0589 | + | 3.51548i | −0.481276 | + | 0.152991i | ||||
\(529\) | −9.84883 | + | 17.0587i | −0.428210 | + | 0.741681i | ||||
\(530\) | 27.1097 | − | 3.69799i | 1.17757 | − | 0.160630i | ||||
\(531\) | 18.5751 | − | 1.01514i | 0.806089 | − | 0.0440532i | ||||
\(532\) | −24.7026 | + | 17.7519i | −1.07099 | + | 0.769644i | ||||
\(533\) | −5.38390 | −0.233202 | ||||||||
\(534\) | −7.54665 | + | 10.5146i | −0.326575 | + | 0.455010i | ||||
\(535\) | −8.36662 | − | 4.83047i | −0.361721 | − | 0.208840i | ||||
\(536\) | −0.472386 | + | 4.02308i | −0.0204040 | + | 0.173770i | ||||
\(537\) | 2.09335 | + | 0.500095i | 0.0903349 | + | 0.0215807i | ||||
\(538\) | 12.9300 | − | 31.6331i | 0.557453 | − | 1.36380i | ||||
\(539\) | 7.58846 | + | 8.93744i | 0.326858 | + | 0.384963i | ||||
\(540\) | 22.6049 | − | 2.06817i | 0.972760 | − | 0.0889999i | ||||
\(541\) | −32.2404 | + | 18.6140i | −1.38612 | + | 0.800279i | −0.992876 | − | 0.119153i | \(-0.961982\pi\) |
−0.393248 | + | 0.919432i | \(0.628649\pi\) | |||||||
\(542\) | 19.7292 | − | 15.2857i | 0.847440 | − | 0.656577i | ||||
\(543\) | 10.3442 | + | 34.7785i | 0.443911 | + | 1.49249i | ||||
\(544\) | 1.79946 | − | 0.279807i | 0.0771512 | − | 0.0119966i | ||||
\(545\) | − | 17.7808i | − | 0.761645i | ||||||
\(546\) | −9.79336 | + | 2.53245i | −0.419117 | + | 0.108379i | ||||
\(547\) | 12.2271 | 0.522792 | 0.261396 | − | 0.965232i | \(-0.415817\pi\) | ||||
0.261396 | + | 0.965232i | \(0.415817\pi\) | |||||||
\(548\) | −40.1171 | − | 10.3486i | −1.71372 | − | 0.442069i | ||||
\(549\) | 5.95895 | − | 11.7600i | 0.254322 | − | 0.501906i | ||||
\(550\) | 0.428958 | − | 0.332347i | 0.0182908 | − | 0.0141713i | ||||
\(551\) | 20.2415 | + | 35.0593i | 0.862317 | + | 1.49358i | ||||
\(552\) | 30.0556 | + | 11.0184i | 1.27925 | + | 0.468972i | ||||
\(553\) | −3.77901 | − | 10.2895i | −0.160700 | − | 0.437554i | ||||
\(554\) | −19.5373 | − | 7.98588i | −0.830060 | − | 0.339288i | ||||
\(555\) | 4.02021 | + | 0.960414i | 0.170649 | + | 0.0407673i | ||||
\(556\) | 2.45212 | − | 0.681662i | 0.103993 | − | 0.0289089i | ||||
\(557\) | 0.649106 | − | 1.12428i | 0.0275035 | − | 0.0476375i | −0.851946 | − | 0.523630i | \(-0.824578\pi\) |
0.879450 | + | 0.475992i | \(0.157911\pi\) | |||||||
\(558\) | 37.3780 | − | 7.19505i | 1.58234 | − | 0.304591i | ||||
\(559\) | 18.1949i | 0.769564i | ||||||||
\(560\) | −14.4727 | + | 18.0245i | −0.611583 | + | 0.761675i | ||||
\(561\) | 0.678160 | + | 0.642111i | 0.0286320 | + | 0.0271099i | ||||
\(562\) | −2.65475 | − | 19.4618i | −0.111984 | − | 0.820944i | ||||
\(563\) | −24.2080 | − | 13.9765i | −1.02024 | − | 0.589038i | −0.106070 | − | 0.994359i | \(-0.533827\pi\) |
−0.914175 | + | 0.405320i | \(0.867160\pi\) | |||||||
\(564\) | −13.7992 | − | 7.30647i | −0.581050 | − | 0.307658i | ||||
\(565\) | −25.3475 | + | 14.6344i | −1.06638 | + | 0.615672i | ||||
\(566\) | −3.09135 | + | 7.56293i | −0.129939 | + | 0.317894i | ||||
\(567\) | 19.8386 | + | 13.1693i | 0.833143 | + | 0.553058i | ||||
\(568\) | 16.5494 | − | 7.12835i | 0.694398 | − | 0.299099i | ||||
\(569\) | −26.1457 | + | 15.0952i | −1.09608 | + | 0.632825i | −0.935190 | − | 0.354147i | \(-0.884771\pi\) |
−0.160895 | + | 0.986972i | \(0.551438\pi\) | |||||||
\(570\) | 3.03786 | − | 30.6070i | 0.127242 | − | 1.28199i | ||||
\(571\) | −16.0016 | + | 27.7156i | −0.669646 | + | 1.15986i | 0.308357 | + | 0.951271i | \(0.400221\pi\) |
−0.978003 | + | 0.208591i | \(0.933112\pi\) | |||||||
\(572\) | −1.30602 | + | 5.06288i | −0.0546073 | + | 0.211690i | ||||
\(573\) | 30.7182 | + | 29.0853i | 1.28327 | + | 1.21505i | ||||
\(574\) | −12.8978 | − | 0.465192i | −0.538344 | − | 0.0194167i | ||||
\(575\) | −1.49694 | −0.0624269 | ||||||||
\(576\) | 4.27715 | − | 23.6158i | 0.178214 | − | 0.983992i | ||||
\(577\) | 7.72204 | − | 13.3750i | 0.321473 | − | 0.556807i | −0.659319 | − | 0.751863i | \(-0.729155\pi\) |
0.980792 | + | 0.195056i | \(0.0624888\pi\) | |||||||
\(578\) | 14.6348 | + | 18.8891i | 0.608728 | + | 0.785682i | ||||
\(579\) | 0.00533339 | − | 0.0223251i | 0.000221648 | − | 0.000927800i | ||||
\(580\) | 21.9551 | + | 21.5486i | 0.911635 | + | 0.894756i | ||||
\(581\) | −23.6303 | − | 4.09581i | −0.980351 | − | 0.169923i | ||||
\(582\) | −9.44442 | + | 4.27062i | −0.391484 | + | 0.177023i | ||||
\(583\) | 12.8480 | − | 7.41782i | 0.532112 | − | 0.307215i | ||||
\(584\) | 2.96209 | − | 25.2266i | 0.122572 | − | 1.04389i | ||||
\(585\) | 4.62295 | − | 9.12344i | 0.191136 | − | 0.377208i | ||||
\(586\) | 21.9127 | − | 2.98907i | 0.905204 | − | 0.123477i | ||||
\(587\) | − | 1.97510i | − | 0.0815212i | −0.999169 | − | 0.0407606i | \(-0.987022\pi\) | ||
0.999169 | − | 0.0407606i | \(-0.0129781\pi\) | |||||||
\(588\) | −23.6801 | + | 5.22062i | −0.976549 | + | 0.215295i | ||||
\(589\) | − | 51.5768i | − | 2.12518i | ||||||
\(590\) | −2.58887 | − | 18.9788i | −0.106582 | − | 0.781345i | ||||
\(591\) | 10.7649 | − | 3.20181i | 0.442810 | − | 0.131705i | ||||
\(592\) | 2.11399 | − | 3.82486i | 0.0868844 | − | 0.157201i | ||||
\(593\) | −14.0265 | + | 8.09823i | −0.576001 | + | 0.332554i | −0.759543 | − | 0.650458i | \(-0.774577\pi\) |
0.183542 | + | 0.983012i | \(0.441244\pi\) | |||||||
\(594\) | 10.9214 | − | 5.67560i | 0.448110 | − | 0.232873i | ||||
\(595\) | 1.83306 | + | 0.317722i | 0.0751482 | + | 0.0130253i | ||||
\(596\) | 7.05506 | + | 6.92443i | 0.288987 | + | 0.283636i | ||||
\(597\) | 8.69558 | + | 2.07734i | 0.355886 | + | 0.0850200i | ||||
\(598\) | 11.4020 | − | 8.83401i | 0.466263 | − | 0.361250i | ||||
\(599\) | −7.00327 | + | 12.1300i | −0.286146 | + | 0.495619i | −0.972886 | − | 0.231283i | \(-0.925708\pi\) |
0.686741 | + | 0.726903i | \(0.259041\pi\) | |||||||
\(600\) | 0.192322 | + | 1.10570i | 0.00785149 | + | 0.0451400i | ||||
\(601\) | −15.5923 | −0.636024 | −0.318012 | − | 0.948087i | \(-0.603015\pi\) | ||||
−0.318012 | + | 0.948087i | \(0.603015\pi\) | |||||||
\(602\) | −1.57212 | + | 43.5883i | −0.0640749 | + | 1.77653i | ||||
\(603\) | −0.234452 | − | 4.29003i | −0.00954764 | − | 0.174704i | ||||
\(604\) | 12.2679 | + | 3.16462i | 0.499174 | + | 0.128766i | ||||
\(605\) | 8.94954 | − | 15.5011i | 0.363850 | − | 0.630207i | ||||
\(606\) | −1.19580 | + | 12.0479i | −0.0485761 | + | 0.489414i | ||||
\(607\) | 28.3416 | − | 16.3630i | 1.15035 | − | 0.664155i | 0.201378 | − | 0.979514i | \(-0.435458\pi\) |
0.948973 | + | 0.315359i | \(0.102125\pi\) | |||||||
\(608\) | −30.3269 | − | 11.7396i | −1.22992 | − | 0.476105i | ||||
\(609\) | 3.78226 | + | 32.0483i | 0.153265 | + | 1.29866i | ||||
\(610\) | −12.5655 | − | 5.13615i | −0.508761 | − | 0.207956i | ||||
\(611\) | −6.09286 | + | 3.51771i | −0.246491 | + | 0.142311i | ||||
\(612\) | −1.82998 | + | 0.618115i | −0.0739725 | + | 0.0249858i | ||||
\(613\) | −0.287887 | − | 0.166212i | −0.0116277 | − | 0.00671323i | 0.494175 | − | 0.869363i | \(-0.335470\pi\) |
−0.505803 | + | 0.862649i | \(0.668804\pi\) | |||||||
\(614\) | −10.0873 | + | 1.37599i | −0.407091 | + | 0.0555306i | ||||
\(615\) | 8.97213 | − | 9.47585i | 0.361791 | − | 0.382103i | ||||
\(616\) | −3.56618 | + | 12.0159i | −0.143686 | + | 0.484136i | ||||
\(617\) | − | 39.1386i | − | 1.57566i | −0.615893 | − | 0.787830i | \(-0.711205\pi\) | ||
0.615893 | − | 0.787830i | \(-0.288795\pi\) | |||||||
\(618\) | −26.1925 | + | 36.4934i | −1.05362 | + | 1.46798i | ||||
\(619\) | 1.61116 | − | 2.79062i | 0.0647581 | − | 0.112164i | −0.831829 | − | 0.555033i | \(-0.812706\pi\) |
0.896587 | + | 0.442868i | \(0.146039\pi\) | |||||||
\(620\) | −10.4973 | − | 37.7614i | −0.421580 | − | 1.51653i | ||||
\(621\) | −33.4055 | − | 6.07550i | −1.34052 | − | 0.243801i | ||||
\(622\) | −4.65621 | + | 11.3913i | −0.186697 | + | 0.456750i | ||||
\(623\) | 4.81946 | + | 13.1225i | 0.193088 | + | 0.525740i | ||||
\(624\) | −7.99002 | − | 7.28700i | −0.319857 | − | 0.291713i | ||||
\(625\) | 11.9010 | + | 20.6132i | 0.476042 | + | 0.824528i | ||||
\(626\) | −16.5875 | − | 21.4094i | −0.662970 | − | 0.855691i | ||||
\(627\) | −4.75451 | − | 15.9853i | −0.189877 | − | 0.638392i | ||||
\(628\) | 4.67937 | + | 1.20709i | 0.186727 | + | 0.0481680i | ||||
\(629\) | −0.351718 | −0.0140239 | ||||||||
\(630\) | 11.8632 | − | 21.4569i | 0.472641 | − | 0.854864i | ||||
\(631\) | − | 10.2850i | − | 0.409441i | −0.978820 | − | 0.204721i | \(-0.934371\pi\) | ||
0.978820 | − | 0.204721i | \(-0.0656286\pi\) | |||||||
\(632\) | 7.00267 | − | 9.39585i | 0.278551 | − | 0.373747i | ||||
\(633\) | −27.9502 | + | 8.31323i | −1.11092 | + | 0.330421i | ||||
\(634\) | −3.17320 | − | 4.09563i | −0.126024 | − | 0.162658i | ||||
\(635\) | −23.7125 | + | 13.6904i | −0.941002 | + | 0.543287i | ||||
\(636\) | 1.12405 | + | 30.6628i | 0.0445714 | + | 1.21586i | ||||
\(637\) | −3.67710 | + | 10.2886i | −0.145692 | + | 0.407650i | ||||
\(638\) | 15.4404 | + | 6.31127i | 0.611292 | + | 0.249866i | ||||
\(639\) | −16.0057 | + | 10.4452i | −0.633175 | + | 0.413205i | ||||
\(640\) | −24.5928 | − | 2.42271i | −0.972117 | − | 0.0957661i | ||||
\(641\) | −26.2428 | − | 15.1513i | −1.03653 | − | 0.598439i | −0.117680 | − | 0.993052i | \(-0.537546\pi\) |
−0.918848 | + | 0.394612i | \(0.870879\pi\) | |||||||
\(642\) | 6.31729 | − | 8.80173i | 0.249324 | − | 0.347377i | ||||
\(643\) | −37.4668 | −1.47755 | −0.738773 | − | 0.673955i | \(-0.764594\pi\) | ||||
−0.738773 | + | 0.673955i | \(0.764594\pi\) | |||||||
\(644\) | 28.0783 | − | 20.1778i | 1.10644 | − | 0.795118i | ||||
\(645\) | −32.0238 | − | 30.3214i | −1.26093 | − | 1.19390i | ||||
\(646\) | 0.353737 | + | 2.59322i | 0.0139176 | + | 0.102029i | ||||
\(647\) | 0.130900 | − | 0.226726i | 0.00514622 | − | 0.00891351i | −0.863441 | − | 0.504450i | \(-0.831695\pi\) |
0.868587 | + | 0.495537i | \(0.165029\pi\) | |||||||
\(648\) | −0.195790 | + | 25.4551i | −0.00769136 | + | 0.999970i | ||||
\(649\) | −5.19303 | − | 8.99459i | −0.203844 | − | 0.353069i | ||||
\(650\) | 0.468092 | + | 0.191333i | 0.0183601 | + | 0.00750469i | ||||
\(651\) | 16.2422 | − | 37.7698i | 0.636583 | − | 1.48032i | ||||
\(652\) | 12.7343 | + | 12.4985i | 0.498714 | + | 0.489480i | ||||
\(653\) | −22.1548 | − | 38.3732i | −0.866984 | − | 1.50166i | −0.865064 | − | 0.501662i | \(-0.832722\pi\) |
−0.00192051 | − | 0.999998i | \(-0.500611\pi\) | |||||||
\(654\) | 19.8425 | + | 1.96944i | 0.775904 | + | 0.0770113i | ||||
\(655\) | 32.3586 | + | 18.6822i | 1.26435 | + | 0.729975i | ||||
\(656\) | −7.12073 | − | 11.8178i | −0.278018 | − | 0.461408i | ||||
\(657\) | 1.47013 | + | 26.9006i | 0.0573552 | + | 1.04949i | ||||
\(658\) | −14.9002 | + | 7.90068i | −0.580869 | + | 0.308001i | ||||
\(659\) | 23.4513i | 0.913534i | 0.889586 | + | 0.456767i | \(0.150993\pi\) | ||||
−0.889586 | + | 0.456767i | \(0.849007\pi\) | |||||||
\(660\) | −6.73440 | − | 10.7358i | −0.262136 | − | 0.417890i | ||||
\(661\) | −29.3695 | − | 16.9565i | −1.14234 | − | 0.659531i | −0.195332 | − | 0.980737i | \(-0.562578\pi\) |
−0.947009 | + | 0.321206i | \(0.895912\pi\) | |||||||
\(662\) | −9.37808 | − | 12.1042i | −0.364490 | − | 0.470445i | ||||
\(663\) | −0.202225 | + | 0.846498i | −0.00785378 | + | 0.0328752i | ||||
\(664\) | −10.1425 | − | 23.5471i | −0.393604 | − | 0.913804i | ||||
\(665\) | −25.5114 | − | 21.2804i | −0.989289 | − | 0.825219i | ||||
\(666\) | −1.51707 | + | 4.37999i | −0.0587852 | + | 0.169721i | ||||
\(667\) | −23.0076 | − | 39.8503i | −0.890857 | − | 1.54301i | ||||
\(668\) | 13.5103 | − | 3.75572i | 0.522729 | − | 0.145313i | ||||
\(669\) | −0.889654 | − | 2.99114i | −0.0343960 | − | 0.115644i | ||||
\(670\) | −4.38328 | + | 0.597916i | −0.169341 | + | 0.0230995i | ||||
\(671\) | −7.36050 | −0.284149 | ||||||||
\(672\) | −18.5115 | − | 18.1473i | −0.714096 | − | 0.700048i | ||||
\(673\) | −13.3855 | −0.515973 | −0.257986 | − | 0.966149i | \(-0.583059\pi\) | ||||
−0.257986 | + | 0.966149i | \(0.583059\pi\) | |||||||
\(674\) | 28.0844 | − | 3.83095i | 1.08177 | − | 0.147563i | ||||
\(675\) | −0.401119 | − | 1.12076i | −0.0154391 | − | 0.0431381i | ||||
\(676\) | 20.3556 | − | 5.65864i | 0.782907 | − | 0.217640i | ||||
\(677\) | −13.0777 | − | 22.6513i | −0.502618 | − | 0.870559i | −0.999995 | − | 0.00302522i | \(-0.999037\pi\) |
0.497378 | − | 0.867534i | \(-0.334296\pi\) | |||||||
\(678\) | −13.5237 | − | 29.9075i | −0.519376 | − | 1.14859i | ||||
\(679\) | −1.91201 | + | 11.0311i | −0.0733761 | + | 0.423335i | ||||
\(680\) | 0.786775 | + | 1.82660i | 0.0301715 | + | 0.0700471i | ||||
\(681\) | −19.5451 | − | 4.66926i | −0.748970 | − | 0.178926i | ||||
\(682\) | −13.0157 | − | 16.7993i | −0.498398 | − | 0.643280i | ||||
\(683\) | −19.0543 | − | 11.0010i | −0.729092 | − | 0.420942i | 0.0889978 | − | 0.996032i | \(-0.471634\pi\) |
−0.818090 | + | 0.575090i | \(0.804967\pi\) | |||||||
\(684\) | 33.8195 | + | 6.78022i | 1.29312 | + | 0.259248i | ||||
\(685\) | − | 45.2470i | − | 1.72880i | ||||||
\(686\) | −9.69794 | + | 24.3300i | −0.370269 | + | 0.928924i | ||||
\(687\) | 11.6978 | − | 12.3546i | 0.446299 | − | 0.471356i | ||||
\(688\) | −39.9385 | + | 24.0646i | −1.52264 | + | 0.917454i | ||||
\(689\) | 11.9731 | + | 6.91265i | 0.456137 | + | 0.263351i | ||||
\(690\) | −3.45300 | + | 34.7896i | −0.131453 | + | 1.32442i | ||||
\(691\) | 17.0852 | + | 29.5924i | 0.649952 | + | 1.12575i | 0.983134 | + | 0.182887i | \(0.0585442\pi\) |
−0.333182 | + | 0.942862i | \(0.608122\pi\) | |||||||
\(692\) | −20.3160 | − | 19.9398i | −0.772297 | − | 0.757998i | ||||
\(693\) | 1.55224 | − | 13.2033i | 0.0589649 | − | 0.501553i | ||||
\(694\) | −7.65072 | − | 3.12724i | −0.290417 | − | 0.118708i | ||||
\(695\) | 1.38978 | + | 2.40717i | 0.0527173 | + | 0.0913091i | ||||
\(696\) | −26.4790 | + | 22.1141i | −1.00368 | + | 0.838232i | ||||
\(697\) | −0.555213 | + | 0.961656i | −0.0210302 | + | 0.0364253i | ||||
\(698\) | 3.55840 | + | 26.0863i | 0.134687 | + | 0.987383i | ||||
\(699\) | −9.54531 | + | 10.0812i | −0.361037 | + | 0.381306i | ||||
\(700\) | 1.10484 | + | 0.498807i | 0.0417591 | + | 0.0188531i | ||||
\(701\) | 25.6168 | 0.967533 | 0.483767 | − | 0.875197i | \(-0.339268\pi\) | ||||
0.483767 | + | 0.875197i | \(0.339268\pi\) | |||||||
\(702\) | 9.66929 | + | 6.16954i | 0.364944 | + | 0.232854i | ||||
\(703\) | 5.43931 | + | 3.14039i | 0.205147 | + | 0.118442i | ||||
\(704\) | −12.8405 | + | 3.82941i | −0.483945 | + | 0.144326i | ||||
\(705\) | 3.96229 | − | 16.5858i | 0.149229 | − | 0.624658i | ||||
\(706\) | 8.74031 | + | 3.57261i | 0.328946 | + | 0.134457i | ||||
\(707\) | 10.0421 | + | 8.37668i | 0.377673 | + | 0.315037i | ||||
\(708\) | 21.4662 | − | 0.786917i | 0.806750 | − | 0.0295742i | ||||
\(709\) | −0.228674 | + | 0.132025i | −0.00858802 | + | 0.00495830i | −0.504288 | − | 0.863536i | \(-0.668245\pi\) |
0.495700 | + | 0.868494i | \(0.334912\pi\) | |||||||
\(710\) | 12.0528 | + | 15.5565i | 0.452334 | + | 0.583825i | ||||
\(711\) | −5.61795 | + | 11.0871i | −0.210689 | + | 0.415797i | ||||
\(712\) | −8.93069 | + | 11.9828i | −0.334692 | + | 0.449073i | ||||
\(713\) | 58.6250i | 2.19552i | ||||||||
\(714\) | −0.557598 | + | 2.01042i | −0.0208676 | + | 0.0752381i | ||||
\(715\) | −5.71028 | −0.213552 | ||||||||
\(716\) | 2.40644 | + | 0.620763i | 0.0899329 | + | 0.0231990i | ||||
\(717\) | −10.0016 | + | 2.97477i | −0.373515 | + | 0.111095i | ||||
\(718\) | 21.0097 | + | 27.1171i | 0.784076 | + | 1.01200i | ||||
\(719\) | −19.9630 | − | 34.5770i | −0.744496 | − | 1.28950i | −0.950430 | − | 0.310939i | \(-0.899357\pi\) |
0.205934 | − | 0.978566i | \(-0.433977\pi\) | |||||||
\(720\) | 26.1405 | − | 1.91912i | 0.974201 | − | 0.0715214i | ||||
\(721\) | 16.7271 | + | 45.5447i | 0.622952 | + | 1.69617i | ||||
\(722\) | 7.51695 | − | 18.3901i | 0.279752 | − | 0.684408i | ||||
\(723\) | 4.12048 | − | 17.2480i | 0.153242 | − | 0.641459i | ||||
\(724\) | 11.2215 | + | 40.3667i | 0.417044 | + | 1.50022i | ||||
\(725\) | 0.806627 | − | 1.39712i | 0.0299574 | − | 0.0518877i | ||||
\(726\) | 16.3072 | + | 11.7042i | 0.605216 | + | 0.434384i | ||||
\(727\) | − | 4.46181i | − | 0.165479i | −0.996571 | − | 0.0827397i | \(-0.973633\pi\) | ||
0.996571 | − | 0.0827397i | \(-0.0263670\pi\) | |||||||
\(728\) | −11.3591 | + | 2.72073i | −0.420995 | + | 0.100837i | ||||
\(729\) | −4.40255 | − | 26.6386i | −0.163057 | − | 0.986617i | ||||
\(730\) | 27.4853 | − | 3.74922i | 1.01728 | − | 0.138765i | ||||
\(731\) | 3.24993 | + | 1.87635i | 0.120203 | + | 0.0693992i | ||||
\(732\) | 7.12348 | − | 13.4536i | 0.263292 | − | 0.497259i | ||||
\(733\) | −3.91514 | + | 2.26041i | −0.144609 | + | 0.0834900i | −0.570559 | − | 0.821257i | \(-0.693273\pi\) |
0.425950 | + | 0.904747i | \(0.359940\pi\) | |||||||
\(734\) | 9.89887 | + | 4.04617i | 0.365374 | + | 0.149347i | ||||
\(735\) | −11.9806 | − | 23.6176i | −0.441910 | − | 0.871148i | ||||
\(736\) | 34.4712 | + | 13.3439i | 1.27063 | + | 0.491863i | ||||
\(737\) | −2.07736 | + | 1.19936i | −0.0765205 | + | 0.0441791i | ||||
\(738\) | 9.58084 | + | 11.0621i | 0.352675 | + | 0.407200i | ||||
\(739\) | −0.571921 | + | 0.990596i | −0.0210384 | + | 0.0364397i | −0.876353 | − | 0.481670i | \(-0.840031\pi\) |
0.855315 | + | 0.518109i | \(0.173364\pi\) | |||||||
\(740\) | 4.62148 | + | 1.19215i | 0.169889 | + | 0.0438244i | ||||
\(741\) | 10.6855 | − | 11.2854i | 0.392543 | − | 0.414581i | ||||
\(742\) | 28.0857 | + | 17.5947i | 1.03106 | + | 0.645920i | ||||
\(743\) | 13.5335 | 0.496495 | 0.248248 | − | 0.968697i | \(-0.420145\pi\) | ||||
0.248248 | + | 0.968697i | \(0.420145\pi\) | |||||||
\(744\) | 43.3026 | − | 7.53191i | 1.58755 | − | 0.276133i | ||||
\(745\) | −5.39804 | + | 9.34968i | −0.197769 | + | 0.342546i | ||||
\(746\) | 21.8960 | − | 16.9645i | 0.801668 | − | 0.621113i | ||||
\(747\) | 14.8618 | + | 22.7734i | 0.543763 | + | 0.833237i | ||||
\(748\) | 0.769635 | + | 0.755385i | 0.0281406 | + | 0.0276196i | ||||
\(749\) | −4.03437 | − | 10.9848i | −0.147413 | − | 0.401375i | ||||
\(750\) | −25.4920 | + | 11.5271i | −0.930837 | + | 0.420910i | ||||
\(751\) | 13.7335 | − | 7.92906i | 0.501144 | − | 0.289336i | −0.228042 | − | 0.973651i | \(-0.573232\pi\) |
0.729186 | + | 0.684316i | \(0.239899\pi\) | |||||||
\(752\) | −15.7799 | − | 8.72149i | −0.575433 | − | 0.318040i | ||||
\(753\) | 4.92642 | + | 16.5633i | 0.179529 | + | 0.603600i | ||||
\(754\) | 2.10094 | + | 15.4019i | 0.0765118 | + | 0.560903i | ||||
\(755\) | 13.8366i | 0.503566i | ||||||||
\(756\) | 22.6309 | + | 15.6154i | 0.823079 | + | 0.567926i | ||||
\(757\) | 41.0141i | 1.49068i | 0.666683 | + | 0.745341i | \(0.267713\pi\) | ||||
−0.666683 | + | 0.745341i | \(0.732287\pi\) | |||||||
\(758\) | −7.00280 | + | 0.955241i | −0.254353 | + | 0.0346959i | ||||
\(759\) | 5.40424 | + | 18.1698i | 0.196162 | + | 0.659521i | ||||
\(760\) | 4.14175 | − | 35.2733i | 0.150237 | − | 1.27950i | ||||
\(761\) | −8.79472 | + | 5.07763i | −0.318808 | + | 0.184064i | −0.650861 | − | 0.759197i | \(-0.725592\pi\) |
0.332053 | + | 0.943261i | \(0.392259\pi\) | |||||||
\(762\) | −12.6514 | − | 27.9784i | −0.458312 | − | 1.01355i | ||||
\(763\) | 13.7961 | − | 16.5390i | 0.499452 | − | 0.598753i | ||||
\(764\) | 34.8616 | + | 34.2162i | 1.26125 | + | 1.23790i | ||||
\(765\) | −1.15286 | − | 1.76659i | −0.0416818 | − | 0.0638712i | ||||
\(766\) | −26.2499 | − | 33.8806i | −0.948447 | − | 1.22416i | ||||
\(767\) | 4.83937 | − | 8.38203i | 0.174740 | − | 0.302658i | ||||
\(768\) | 5.42760 | − | 27.1761i | 0.195852 | − | 0.980634i | ||||
\(769\) | 15.2996 | 0.551719 | 0.275859 | − | 0.961198i | \(-0.411038\pi\) | ||||
0.275859 | + | 0.961198i | \(0.411038\pi\) | |||||||
\(770\) | −13.6797 | − | 0.493393i | −0.492982 | − | 0.0177806i | ||||
\(771\) | −23.5903 | + | 24.9148i | −0.849585 | + | 0.897283i | ||||
\(772\) | 0.00662029 | − | 0.0256641i | 0.000238269 | − | 0.000923671i | ||||
\(773\) | −18.3453 | + | 31.7750i | −0.659835 | + | 1.14287i | 0.320823 | + | 0.947139i | \(0.396040\pi\) |
−0.980658 | + | 0.195728i | \(0.937293\pi\) | |||||||
\(774\) | 37.3843 | − | 32.3786i | 1.34375 | − | 1.16382i | ||||
\(775\) | −1.77998 | + | 1.02767i | −0.0639388 | + | 0.0369151i | ||||
\(776\) | −10.9922 | + | 4.73470i | −0.394599 | + | 0.169966i | ||||
\(777\) | 2.99427 | + | 4.01262i | 0.107419 | + | 0.143952i | ||||
\(778\) | −2.28010 | + | 5.57823i | −0.0817457 | + | 0.199989i | ||||
\(779\) | 17.1727 | − | 9.91466i | 0.615276 | − | 0.355230i | ||||
\(780\) | 5.52640 | − | 10.4373i | 0.197877 | − | 0.373716i | ||||
\(781\) | 9.24099 | + | 5.33529i | 0.330669 | + | 0.190912i | ||||
\(782\) | −0.402077 | − | 2.94760i | −0.0143783 | − | 0.105406i | ||||
\(783\) | 23.6709 | − | 27.9040i | 0.845927 | − | 0.997208i | ||||
\(784\) | −27.4472 | + | 5.53638i | −0.980257 | + | 0.197728i | ||||
\(785\) | 5.27773i | 0.188370i | ||||||||
\(786\) | −24.4326 | + | 34.0414i | −0.871482 | + | 1.21422i | ||||
\(787\) | 14.6430 | − | 25.3624i | 0.521965 | − | 0.904071i | −0.477708 | − | 0.878519i | \(-0.658532\pi\) |
0.999673 | − | 0.0255520i | \(-0.00813435\pi\) | |||||||
\(788\) | 12.4946 | − | 3.47338i | 0.445103 | − | 0.123734i | ||||
\(789\) | 2.75103 | − | 11.5156i | 0.0979393 | − | 0.409965i | ||||
\(790\) | 11.8464 | + | 4.84223i | 0.421476 | + | 0.172279i | ||||
\(791\) | −34.9321 | − | 6.05473i | −1.24204 | − | 0.215281i | ||||
\(792\) | 12.7266 | − | 6.32616i | 0.452219 | − | 0.224790i | ||||
\(793\) | −3.42962 | − | 5.94027i | −0.121789 | − | 0.210945i | ||||
\(794\) | −22.1255 | + | 17.1423i | −0.785204 | + | 0.608358i | ||||
\(795\) | −32.1193 | + | 9.55326i | −1.13915 | + | 0.338819i | ||||
\(796\) | 9.99610 | + | 2.57859i | 0.354303 | + | 0.0913956i | ||||
\(797\) | 18.4577 | 0.653805 | 0.326903 | − | 0.945058i | \(-0.393995\pi\) | ||||
0.326903 | + | 0.945058i | \(0.393995\pi\) | |||||||
\(798\) | 26.5737 | − | 26.1125i | 0.940698 | − | 0.924371i | ||||
\(799\) | 1.45105i | 0.0513345i | ||||||||
\(800\) | 0.199116 | + | 1.28053i | 0.00703982 | + | 0.0452737i | ||||
\(801\) | 7.16471 | − | 14.1396i | 0.253153 | − | 0.499599i | ||||
\(802\) | 2.56593 | − | 1.98802i | 0.0906062 | − | 0.0701995i | ||||
\(803\) | 13.0260 | − | 7.52059i | 0.459679 | − | 0.265396i | ||||
\(804\) | −0.181744 | − | 4.95776i | −0.00640960 | − | 0.174847i | ||||
\(805\) | 28.9976 | + | 24.1885i | 1.02203 | + | 0.852533i | ||||
\(806\) | 7.49319 | − | 18.3319i | 0.263936 | − | 0.645715i | ||||
\(807\) | −9.72510 | + | 40.7084i | −0.342340 | + | 1.43301i | ||||
\(808\) | −1.63033 | + | 13.8847i | −0.0573548 | + | 0.488463i | ||||
\(809\) | 12.9060 | + | 7.45126i | 0.453750 | + | 0.261972i | 0.709412 | − | 0.704794i | \(-0.248960\pi\) |
−0.255663 | + | 0.966766i | \(0.582294\pi\) | |||||||
\(810\) | −26.9722 | + | 6.73691i | −0.947708 | + | 0.236711i | ||||
\(811\) | 29.7496 | 1.04465 | 0.522325 | − | 0.852747i | \(-0.325065\pi\) | ||||
0.522325 | + | 0.852747i | \(0.325065\pi\) | |||||||
\(812\) | 3.70229 | + | 37.0787i | 0.129925 | + | 1.30121i | ||||
\(813\) | −21.0161 | + | 22.1960i | −0.737067 | + | 0.778448i | ||||
\(814\) | 2.56416 | − | 0.349773i | 0.0898739 | − | 0.0122596i | ||||
\(815\) | −9.74341 | + | 16.8761i | −0.341297 | + | 0.591143i | ||||
\(816\) | −2.12555 | + | 0.675686i | −0.0744092 | + | 0.0236537i | ||||
\(817\) | −33.5067 | − | 58.0353i | −1.17225 | − | 2.03040i | ||||
\(818\) | 0.803294 | − | 1.96524i | 0.0280865 | − | 0.0687131i | ||||
\(819\) | 11.3790 | − | 4.89935i | 0.397614 | − | 0.171197i | ||||
\(820\) | 10.5549 | − | 10.7540i | 0.368593 | − | 0.375546i | ||||
\(821\) | 7.25813 | + | 12.5715i | 0.253311 | + | 0.438747i | 0.964435 | − | 0.264319i | \(-0.0851472\pi\) |
−0.711125 | + | 0.703066i | \(0.751814\pi\) | |||||||
\(822\) | 50.4936 | + | 5.01167i | 1.76116 | + | 0.174802i | ||||
\(823\) | −42.5817 | − | 24.5846i | −1.48431 | − | 0.856965i | −0.484465 | − | 0.874810i | \(-0.660986\pi\) |
−0.999841 | + | 0.0178459i | \(0.994319\pi\) | |||||||
\(824\) | −30.9962 | + | 41.5892i | −1.07980 | + | 1.44883i | ||||
\(825\) | −0.456939 | + | 0.482593i | −0.0159086 | + | 0.0168017i | ||||
\(826\) | 12.3176 | − | 19.6621i | 0.428583 | − | 0.684132i | ||||
\(827\) | − | 0.00653186i | − | 0.000227135i | −1.00000 | 0.000113567i | \(-0.999964\pi\) | |||
1.00000 | 0.000113567i | \(-3.61496e-5\pi\) | ||||||||
\(828\) | −38.4411 | − | 7.70677i | −1.33592 | − | 0.267829i | ||||
\(829\) | 7.61159 | + | 4.39455i | 0.264361 | + | 0.152629i | 0.626322 | − | 0.779564i | \(-0.284559\pi\) |
−0.361961 | + | 0.932193i | \(0.617893\pi\) | |||||||
\(830\) | 22.1343 | − | 17.1491i | 0.768293 | − | 0.595256i | ||||
\(831\) | 25.1425 | + | 6.00645i | 0.872182 | + | 0.208361i | ||||
\(832\) | −9.07353 | − | 8.57858i | −0.314568 | − | 0.297409i | ||||
\(833\) | 1.45853 | + | 1.71781i | 0.0505350 | + | 0.0595184i | ||||
\(834\) | −2.84022 | + | 1.28431i | −0.0983489 | + | 0.0444718i | ||||
\(835\) | 7.65719 | + | 13.2626i | 0.264988 | + | 0.458973i | ||||
\(836\) | −5.15777 | − | 18.5538i | −0.178385 | − | 0.641698i | ||||
\(837\) | −43.8925 | + | 15.7091i | −1.51715 | + | 0.542985i | ||||
\(838\) | −1.61421 | − | 11.8336i | −0.0557619 | − | 0.408787i | ||||
\(839\) | −35.4452 | −1.22371 | −0.611853 | − | 0.790972i | \(-0.709575\pi\) | ||||
−0.611853 | + | 0.790972i | \(0.709575\pi\) | |||||||
\(840\) | 14.1410 | − | 24.5264i | 0.487912 | − | 0.846241i | ||||
\(841\) | 20.5905 | 0.710017 | ||||||||
\(842\) | −2.66308 | − | 19.5228i | −0.0917757 | − | 0.672801i | ||||
\(843\) | 6.85818 | + | 23.0581i | 0.236208 | + | 0.794164i | ||||
\(844\) | −32.4412 | + | 9.01832i | −1.11667 | + | 0.310423i | ||||
\(845\) | 11.5369 | + | 19.9825i | 0.396881 | + | 0.687417i | ||||
\(846\) | 18.0701 | + | 6.25883i | 0.621264 | + | 0.215183i | ||||
\(847\) | 20.3518 | − | 7.47458i | 0.699296 | − | 0.256829i | ||||
\(848\) | 0.662071 | + | 35.4239i | 0.0227356 | + | 1.21646i | ||||
\(849\) | 2.32511 | − | 9.73270i | 0.0797975 | − | 0.334025i | ||||
\(850\) | 0.0824472 | − | 0.0638781i | 0.00282791 | − | 0.00219100i | ||||
\(851\) | −6.18262 | − | 3.56954i | −0.211937 | − | 0.122362i | ||||
\(852\) | −18.6953 | + | 11.7273i | −0.640491 | + | 0.401770i | ||||
\(853\) | 23.8784i | 0.817581i | 0.912628 | + | 0.408791i | \(0.134049\pi\) | ||||
−0.912628 | + | 0.408791i | \(0.865951\pi\) | |||||||
\(854\) | −7.70282 | − | 14.5270i | −0.263585 | − | 0.497104i | ||||
\(855\) | 2.05562 | + | 37.6138i | 0.0703006 | + | 1.28637i | ||||
\(856\) | 7.47587 | − | 10.0308i | 0.255520 | − | 0.342844i | ||||
\(857\) | 46.6784 | + | 26.9498i | 1.59451 | + | 0.920588i | 0.992520 | + | 0.122081i | \(0.0389567\pi\) |
0.601985 | + | 0.798507i | \(0.294377\pi\) | |||||||
\(858\) | 0.632485 | − | 6.37241i | 0.0215927 | − | 0.217550i | ||||
\(859\) | 9.18799 | + | 15.9141i | 0.313490 | + | 0.542981i | 0.979115 | − | 0.203305i | \(-0.0651684\pi\) |
−0.665625 | + | 0.746286i | \(0.731835\pi\) | |||||||
\(860\) | −36.3433 | − | 35.6704i | −1.23930 | − | 1.21635i | ||||
\(861\) | 15.6979 | − | 1.85262i | 0.534982 | − | 0.0631371i | ||||
\(862\) | −18.1654 | + | 44.4414i | −0.618717 | + | 1.51368i | ||||
\(863\) | −24.6737 | − | 42.7360i | −0.839901 | − | 1.45475i | −0.889977 | − | 0.456006i | \(-0.849279\pi\) |
0.0500753 | − | 0.998745i | \(-0.484054\pi\) | |||||||
\(864\) | −0.753742 | + | 29.3842i | −0.0256428 | + | 0.999671i | ||||
\(865\) | 15.5444 | − | 26.9236i | 0.528524 | − | 0.915431i | ||||
\(866\) | −6.22620 | + | 0.849306i | −0.211575 | + | 0.0288606i | ||||
\(867\) | −21.2509 | − | 20.1212i | −0.721717 | − | 0.683352i | ||||
\(868\) | 19.5349 | − | 43.2691i | 0.663056 | − | 1.46865i | ||||
\(869\) | 6.93929 | 0.235399 | ||||||||
\(870\) | −30.6090 | − | 21.9691i | −1.03774 | − | 0.744822i | ||||
\(871\) | −1.93589 | − | 1.11768i | −0.0655950 | − | 0.0378713i | ||||
\(872\) | 22.8677 | + | 2.68510i | 0.774397 | + | 0.0909289i | ||||
\(873\) | 10.6311 | − | 6.93776i | 0.359808 | − | 0.234808i | ||||
\(874\) | −20.1001 | + | 49.1746i | −0.679897 | + | 1.66335i | ||||
\(875\) | −5.16082 | + | 29.7747i | −0.174467 | + | 1.00657i | ||||
\(876\) | 1.13962 | + | 31.0876i | 0.0385042 | + | 1.05035i | ||||
\(877\) | 51.2316 | − | 29.5786i | 1.72997 | − | 0.998797i | 0.840467 | − | 0.541863i | \(-0.182281\pi\) |
0.889500 | − | 0.456935i | \(-0.151053\pi\) | |||||||
\(878\) | 9.75494 | − | 7.55790i | 0.329213 | − | 0.255067i | ||||
\(879\) | −25.9620 | + | 7.72187i | −0.875675 | + | 0.260452i | ||||
\(880\) | −7.55241 | − | 12.5342i | −0.254592 | − | 0.422529i | ||||
\(881\) | − | 51.0955i | − | 1.72145i | −0.509068 | − | 0.860726i | \(-0.670010\pi\) | ||
0.509068 | − | 0.860726i | \(-0.329990\pi\) | |||||||
\(882\) | 27.6831 | − | 10.7538i | 0.932139 | − | 0.362100i | ||||
\(883\) | 10.4148 | 0.350486 | 0.175243 | − | 0.984525i | \(-0.443929\pi\) | ||||
0.175243 | + | 0.984525i | \(0.443929\pi\) | |||||||
\(884\) | −0.251020 | + | 0.973101i | −0.00844273 | + | 0.0327289i | ||||
\(885\) | 6.68799 | + | 22.4859i | 0.224814 | + | 0.755856i | ||||
\(886\) | −41.3238 | + | 32.0167i | −1.38830 | + | 1.07562i | ||||
\(887\) | 12.2631 | + | 21.2404i | 0.411756 | + | 0.713183i | 0.995082 | − | 0.0990557i | \(-0.0315822\pi\) |
−0.583326 | + | 0.812238i | \(0.698249\pi\) | |||||||
\(888\) | −1.84228 | + | 5.02532i | −0.0618227 | + | 0.168639i | ||||
\(889\) | −32.6789 | − | 5.66419i | −1.09601 | − | 0.189971i | ||||
\(890\) | −15.1080 | − | 6.17542i | −0.506423 | − | 0.207001i | ||||
\(891\) | −12.1556 | + | 8.91490i | −0.407228 | + | 0.298660i | ||||
\(892\) | −0.965110 | − | 3.47175i | −0.0323143 | − | 0.116243i | ||||
\(893\) | 12.9560 | − | 22.4405i | 0.433556 | − | 0.750942i | ||||
\(894\) | −9.83591 | − | 7.05956i | −0.328962 | − | 0.236107i | ||||
\(895\) | 2.71416i | 0.0907242i | ||||||||
\(896\) | −20.9956 | − | 21.3351i | −0.701413 | − | 0.712755i | ||||
\(897\) | −12.1458 | + | 12.8277i | −0.405535 | + | 0.428303i | ||||
\(898\) | −4.47783 | − | 32.8267i | −0.149427 | − | 1.09544i | ||||
\(899\) | −54.7155 | − | 31.5900i | −1.82487 | − | 1.05359i | ||||
\(900\) | −0.439863 | − | 1.30225i | −0.0146621 | − | 0.0434084i | ||||
\(901\) | 2.46944 | − | 1.42573i | 0.0822688 | − | 0.0474979i | ||||
\(902\) | 3.09138 | − | 7.56300i | 0.102932 | − | 0.251820i | ||||
\(903\) | −6.26095 | − | 53.0511i | −0.208351 | − | 1.76543i | ||||
\(904\) | −14.9933 | − | 34.8090i | −0.498671 | − | 1.15773i | ||||
\(905\) | −39.6267 | + | 22.8785i | −1.31724 | + | 0.760507i | ||||
\(906\) | −15.4410 | − | 1.53258i | −0.512994 | − | 0.0509165i | ||||
\(907\) | 14.6718 | − | 25.4124i | 0.487170 | − | 0.843803i | −0.512721 | − | 0.858555i | \(-0.671362\pi\) |
0.999891 | + | 0.0147518i | \(0.00469582\pi\) | |||||||
\(908\) | −22.4683 | − | 5.79591i | −0.745637 | − | 0.192344i | ||||
\(909\) | −0.809158 | − | 14.8060i | −0.0268381 | − | 0.491086i | ||||
\(910\) | −5.97585 | − | 11.2701i | −0.198097 | − | 0.373599i | ||||
\(911\) | 21.9953 | 0.728738 | 0.364369 | − | 0.931255i | \(-0.381285\pi\) | ||||
0.364369 | + | 0.931255i | \(0.381285\pi\) | |||||||
\(912\) | 38.9046 | + | 8.52896i | 1.28826 | + | 0.282422i | ||||
\(913\) | 7.59124 | − | 13.1484i | 0.251233 | − | 0.435149i | ||||
\(914\) | −1.14570 | − | 1.47875i | −0.0378965 | − | 0.0489128i | ||||
\(915\) | 16.1705 | + | 3.86306i | 0.534579 | + | 0.127709i | ||||
\(916\) | 13.7614 | − | 14.0210i | 0.454690 | − | 0.463267i | ||||
\(917\) | 15.6032 | + | 42.4845i | 0.515264 | + | 1.40296i | ||||
\(918\) | 2.09913 | − | 1.09087i | 0.0692815 | − | 0.0360041i | ||||
\(919\) | −32.9464 | + | 19.0216i | −1.08680 | + | 0.627464i | −0.932723 | − | 0.360594i | \(-0.882574\pi\) |
−0.154077 | + | 0.988059i | \(0.549241\pi\) | |||||||
\(920\) | −4.70774 | + | 40.0935i | −0.155210 | + | 1.32184i | ||||
\(921\) | 11.9514 | − | 3.55470i | 0.393811 | − | 0.117131i | ||||
\(922\) | 32.9936 | − | 4.50060i | 1.08659 | − | 0.148220i | ||||
\(923\) | 9.94388i | 0.327307i | ||||||||
\(924\) | 2.06580 | − | 15.2113i | 0.0679599 | − | 0.500414i | ||||
\(925\) | − | 0.250290i | − | 0.00822948i | ||||||
\(926\) | 2.76201 | + | 20.2481i | 0.0907654 | + | 0.665395i | ||||
\(927\) | 24.8669 | − | 49.0751i | 0.816737 | − | 1.61184i | ||||
\(928\) | −31.0289 | + | 24.9821i | −1.01857 | + | 0.820078i | ||||
\(929\) | 26.6079 | − | 15.3621i | 0.872978 | − | 0.504014i | 0.00464125 | − | 0.999989i | \(-0.498523\pi\) |
0.868337 | + | 0.495975i | \(0.165189\pi\) | |||||||
\(930\) | 19.7777 | + | 43.7380i | 0.648535 | + | 1.43423i | ||||
\(931\) | −7.21830 | − | 39.5886i | −0.236570 | − | 1.29746i | ||||
\(932\) | −11.2292 | + | 11.4410i | −0.367824 | + | 0.374763i | ||||
\(933\) | 3.50209 | − | 14.6594i | 0.114653 | − | 0.479928i | ||||
\(934\) | −16.7923 | + | 13.0103i | −0.549460 | + | 0.425709i | ||||
\(935\) | −0.588871 | + | 1.01995i | −0.0192581 | + | 0.0333561i | ||||
\(936\) | 11.0354 | + | 7.32327i | 0.360704 | + | 0.239369i | ||||
\(937\) | 37.2804 | 1.21790 | 0.608949 | − | 0.793210i | \(-0.291592\pi\) | ||||
0.608949 | + | 0.793210i | \(0.291592\pi\) | |||||||
\(938\) | −4.54109 | − | 2.84482i | −0.148272 | − | 0.0928868i | ||||
\(939\) | 24.0863 | + | 22.8059i | 0.786027 | + | 0.744243i | ||||
\(940\) | 4.91836 | − | 19.0664i | 0.160419 | − | 0.621878i | ||||
\(941\) | 16.0848 | − | 27.8596i | 0.524348 | − | 0.908198i | −0.475250 | − | 0.879851i | \(-0.657642\pi\) |
0.999598 | − | 0.0283471i | \(-0.00902436\pi\) | |||||||
\(942\) | −5.88970 | − | 0.584574i | −0.191897 | − | 0.0190465i | ||||
\(943\) | −19.5194 | + | 11.2695i | −0.635640 | + | 0.366987i | ||||
\(944\) | 24.7994 | − | 0.463499i | 0.807151 | − | 0.0150856i | ||||
\(945\) | −10.3398 | + | 28.1920i | −0.336353 | + | 0.917087i | ||||
\(946\) | −25.5592 | − | 10.4474i | −0.831003 | − | 0.339673i | ||||
\(947\) | 33.3248 | − | 19.2401i | 1.08291 | − | 0.625219i | 0.151231 | − | 0.988498i | \(-0.451676\pi\) |
0.931680 | + | 0.363279i | \(0.118343\pi\) | |||||||
\(948\) | −6.71584 | + | 12.6837i | −0.218120 | + | 0.411948i | ||||
\(949\) | 12.1389 | + | 7.00842i | 0.394046 | + | 0.227503i | ||||
\(950\) | −1.84539 | + | 0.251727i | −0.0598724 | + | 0.00816710i | ||||
\(951\) | 4.60773 | + | 4.36279i | 0.149416 | + | 0.141473i | ||||
\(952\) | −0.685432 | + | 2.30950i | −0.0222150 | + | 0.0748513i | ||||
\(953\) | − | 37.1213i | − | 1.20248i | −0.799070 | − | 0.601238i | \(-0.794674\pi\) | ||
0.799070 | − | 0.601238i | \(-0.205326\pi\) | |||||||
\(954\) | −7.10338 | − | 36.9018i | −0.229980 | − | 1.19474i | ||||
\(955\) | −26.6737 | + | 46.2002i | −0.863140 | + | 1.49500i | ||||
\(956\) | −11.6086 | + | 3.22707i | −0.375449 | + | 0.104371i | ||||
\(957\) | −19.8702 | − | 4.74692i | −0.642312 | − | 0.153446i | ||||
\(958\) | 11.7237 | − | 28.6818i | 0.378775 | − | 0.926666i | ||||
\(959\) | 35.1071 | − | 42.0871i | 1.13367 | − | 1.35906i | ||||
\(960\) | 30.2194 | − | 1.67374i | 0.975328 | − | 0.0540198i | ||||
\(961\) | 24.7469 | + | 42.8628i | 0.798286 | + | 1.38267i | ||||
\(962\) | 1.47705 | + | 1.90642i | 0.0476221 | + | 0.0614656i | ||||
\(963\) | −5.99757 | + | 11.8363i | −0.193269 | + | 0.381418i | ||||
\(964\) | 5.11471 | − | 19.8276i | 0.164734 | − | 0.638604i | ||||
\(965\) | 0.0289458 | 0.000931799 | ||||||||
\(966\) | −30.2051 | + | 29.6809i | −0.971833 | + | 0.954966i | ||||
\(967\) | 28.7342i | 0.924030i | 0.886872 | + | 0.462015i | \(0.152873\pi\) | ||||
−0.886872 | + | 0.462015i | \(0.847127\pi\) | |||||||
\(968\) | 18.5842 | + | 13.8507i | 0.597320 | + | 0.445179i | ||||
\(969\) | −0.913833 | − | 3.07243i | −0.0293565 | − | 0.0987006i | ||||
\(970\) | −8.00556 | − | 10.3327i | −0.257043 | − | 0.331764i | ||||
\(971\) | −17.2557 | + | 9.96261i | −0.553763 | + | 0.319715i | −0.750638 | − | 0.660713i | \(-0.770254\pi\) |
0.196875 | + | 0.980429i | \(0.436921\pi\) | |||||||
\(972\) | −4.53057 | − | 30.8460i | −0.145318 | − | 0.989385i | ||||
\(973\) | −0.574998 | + | 3.31739i | −0.0184336 | + | 0.106351i | ||||
\(974\) | −14.3811 | − | 5.87828i | −0.460800 | − | 0.188352i | ||||
\(975\) | −0.602385 | − | 0.143908i | −0.0192918 | − | 0.00460874i | ||||
\(976\) | 8.50307 | − | 15.3847i | 0.272177 | − | 0.492452i | ||||
\(977\) | −11.6105 | − | 6.70332i | −0.371453 | − | 0.214458i | 0.302640 | − | 0.953105i | \(-0.402132\pi\) |
−0.674093 | + | 0.738647i | \(0.735465\pi\) | |||||||
\(978\) | −17.7537 | − | 12.7424i | −0.567701 | − | 0.407458i | ||||
\(979\) | −8.84986 | −0.282843 | ||||||||
\(980\) | −13.3421 | − | 27.5152i | −0.426199 | − | 0.878941i | ||||
\(981\) | −24.3851 | + | 1.33266i | −0.778555 | + | 0.0425484i | ||||
\(982\) | 6.18387 | + | 45.3335i | 0.197335 | + | 1.44665i | ||||
\(983\) | −10.2774 | + | 17.8010i | −0.327799 | + | 0.567765i | −0.982075 | − | 0.188491i | \(-0.939640\pi\) |
0.654276 | + | 0.756256i | \(0.272974\pi\) | |||||||
\(984\) | 10.8319 | + | 12.9699i | 0.345308 | + | 0.413466i | ||||
\(985\) | 7.08155 | + | 12.2656i | 0.225637 | + | 0.390814i | ||||
\(986\) | 2.96770 | + | 1.21305i | 0.0945107 | + | 0.0386313i | ||||
\(987\) | 16.5545 | − | 12.3532i | 0.526936 | − | 0.393206i | ||||
\(988\) | 12.5706 | − | 12.8077i | 0.399923 | − | 0.407467i | ||||
\(989\) | 38.0856 | + | 65.9661i | 1.21105 | + | 2.09760i | ||||
\(990\) | 10.1616 | + | 11.7327i | 0.322958 | + | 0.372888i | ||||
\(991\) | −4.87181 | − | 2.81274i | −0.154758 | − | 0.0893497i | 0.420621 | − | 0.907236i | \(-0.361812\pi\) |
−0.575379 | + | 0.817887i | \(0.695146\pi\) | |||||||
\(992\) | 50.1497 | − | 7.79801i | 1.59225 | − | 0.247587i | ||||
\(993\) | 13.6177 | + | 12.8938i | 0.432144 | + | 0.409172i | ||||
\(994\) | −0.859194 | + | 23.8218i | −0.0272520 | + | 0.755583i | ||||
\(995\) | 11.2743i | 0.357420i | ||||||||
\(996\) | 16.6860 | + | 26.6004i | 0.528716 | + | 0.842865i | ||||
\(997\) | −2.03245 | − | 1.17343i | −0.0643683 | − | 0.0371631i | 0.467470 | − | 0.884009i | \(-0.345165\pi\) |
−0.531839 | + | 0.846846i | \(0.678499\pi\) | |||||||
\(998\) | 12.3058 | + | 15.8830i | 0.389533 | + | 0.502768i | ||||
\(999\) | 1.01583 | − | 5.58541i | 0.0321394 | − | 0.176715i |
(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 | 168.2.v.a.11.2 | ✓ | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.11.27 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.431.4 | 56 | |||
7.2 | even | 3 | inner | 168.2.v.a.107.20 | yes | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.11.9 | yes | 56 | |
8.5 | even | 2 | 672.2.bd.a.431.3 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.431.17 | 56 | |||
21.2 | odd | 6 | inner | 168.2.v.a.107.9 | yes | 56 | |
24.5 | odd | 2 | 672.2.bd.a.431.18 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.11.20 | yes | 56 | |
28.23 | odd | 6 | 672.2.bd.a.527.18 | 56 | |||
56.37 | even | 6 | 672.2.bd.a.527.17 | 56 | |||
56.51 | odd | 6 | inner | 168.2.v.a.107.27 | yes | 56 | |
84.23 | even | 6 | 672.2.bd.a.527.3 | 56 | |||
168.107 | even | 6 | inner | 168.2.v.a.107.2 | yes | 56 | |
168.149 | odd | 6 | 672.2.bd.a.527.4 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.2 | ✓ | 56 | 1.1 | even | 1 | trivial | |
168.2.v.a.11.9 | yes | 56 | 8.3 | odd | 2 | inner | |
168.2.v.a.11.20 | yes | 56 | 24.11 | even | 2 | inner | |
168.2.v.a.11.27 | yes | 56 | 3.2 | odd | 2 | inner | |
168.2.v.a.107.2 | yes | 56 | 168.107 | even | 6 | inner | |
168.2.v.a.107.9 | yes | 56 | 21.2 | odd | 6 | inner | |
168.2.v.a.107.20 | yes | 56 | 7.2 | even | 3 | inner | |
168.2.v.a.107.27 | yes | 56 | 56.51 | odd | 6 | inner | |
672.2.bd.a.431.3 | 56 | 8.5 | even | 2 | |||
672.2.bd.a.431.4 | 56 | 4.3 | odd | 2 | |||
672.2.bd.a.431.17 | 56 | 12.11 | even | 2 | |||
672.2.bd.a.431.18 | 56 | 24.5 | odd | 2 | |||
672.2.bd.a.527.3 | 56 | 84.23 | even | 6 | |||
672.2.bd.a.527.4 | 56 | 168.149 | odd | 6 | |||
672.2.bd.a.527.17 | 56 | 56.37 | even | 6 | |||
672.2.bd.a.527.18 | 56 | 28.23 | odd | 6 |