Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(9,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.s (of order \(22\), degree \(10\), 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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 29.4 | ||
Character | \(\chi\) | \(=\) | 460.29 |
Dual form | 460.2.s.a.349.4 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{11}\right)\) |
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 | 0 | ||||||||
\(3\) | −0.384428 | + | 1.30924i | −0.221950 | + | 0.755891i | 0.770946 | + | 0.636901i | \(0.219784\pi\) |
−0.992895 | + | 0.118990i | \(0.962034\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.22428 | − | 0.229290i | 0.994729 | − | 0.102542i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.93912 | − | 0.422582i | −1.11088 | − | 0.159721i | −0.437646 | − | 0.899147i | \(-0.644188\pi\) |
−0.673237 | + | 0.739427i | \(0.735097\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.957431 | + | 0.615303i | 0.319144 | + | 0.205101i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.86724 | + | 4.08869i | 0.562994 | + | 1.23279i | 0.950444 | + | 0.310895i | \(0.100629\pi\) |
−0.387450 | + | 0.921891i | \(0.626644\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.760621 | − | 0.109361i | 0.210958 | − | 0.0303312i | −0.0360254 | − | 0.999351i | \(-0.511470\pi\) |
0.246984 | + | 0.969020i | \(0.420561\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.554880 | + | 3.00027i | −0.143269 | + | 0.774666i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.51940 | + | 1.31657i | 0.368509 | + | 0.319315i | 0.819355 | − | 0.573287i | \(-0.194332\pi\) |
−0.450845 | + | 0.892602i | \(0.648877\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.48804 | − | 1.71729i | −0.341380 | − | 0.393973i | 0.558936 | − | 0.829211i | \(-0.311210\pi\) |
−0.900316 | + | 0.435238i | \(0.856664\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.68314 | − | 3.68557i | 0.367292 | − | 0.804257i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.15316 | + | 4.28531i | 0.448966 | + | 0.893549i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.89485 | − | 1.02001i | 0.978970 | − | 0.204002i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.26734 | + | 3.69767i | −0.821250 | + | 0.711617i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.48297 | + | 5.17363i | −0.832467 | + | 0.960718i | −0.999682 | − | 0.0252021i | \(-0.991977\pi\) |
0.167215 | + | 0.985920i | \(0.446523\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.59661 | − | 0.762433i | 0.466364 | − | 0.136937i | −0.0401039 | − | 0.999196i | \(-0.512769\pi\) |
0.506468 | + | 0.862259i | \(0.330951\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −6.07090 | + | 0.872864i | −1.05681 | + | 0.151946i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −6.63432 | − | 0.266029i | −1.12141 | − | 0.0449672i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.97221 | − | 4.62485i | 0.488628 | − | 0.760320i | −0.506143 | − | 0.862450i | \(-0.668929\pi\) |
0.994771 | + | 0.102129i | \(0.0325655\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.149224 | + | 1.03788i | −0.0238950 | + | 0.166194i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.30458 | + | 1.48106i | −0.359915 | + | 0.231303i | −0.708084 | − | 0.706129i | \(-0.750440\pi\) |
0.348169 | + | 0.937432i | \(0.386804\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.22810 | + | 7.58820i | −0.339782 | + | 1.15719i | 0.595521 | + | 0.803340i | \(0.296946\pi\) |
−0.935302 | + | 0.353850i | \(0.884872\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.27068 | + | 1.14908i | 0.338493 | + | 0.171294i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − | 11.1516i | − | 1.62663i | −0.581821 | − | 0.813317i | \(-0.697660\pi\) | ||
0.581821 | − | 0.813317i | \(-0.302340\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.74340 | + | 0.511908i | 0.249057 | + | 0.0731297i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.30781 | + | 1.48314i | −0.323158 | + | 0.207681i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 8.84763 | + | 1.27210i | 1.21532 | + | 0.174736i | 0.719998 | − | 0.693976i | \(-0.244143\pi\) |
0.495318 | + | 0.868712i | \(0.335052\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.09076 | + | 8.66625i | 0.686439 | + | 1.16856i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.82039 | − | 1.28803i | 0.373570 | − | 0.170604i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.431796 | + | 3.00321i | 0.0562150 | + | 0.390984i | 0.998432 | + | 0.0559805i | \(0.0178285\pi\) |
−0.942217 | + | 0.335004i | \(0.891262\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.64886 | + | 1.07140i | −0.467189 | + | 0.137179i | −0.506850 | − | 0.862034i | \(-0.669190\pi\) |
0.0396612 | + | 0.999213i | \(0.487372\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.55399 | − | 2.21304i | −0.321772 | − | 0.278817i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.66676 | − | 0.417652i | 0.206736 | − | 0.0518033i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.444820 | − | 0.203142i | −0.0543434 | − | 0.0248178i | 0.388058 | − | 0.921635i | \(-0.373146\pi\) |
−0.442401 | + | 0.896817i | \(0.645873\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −6.43825 | + | 1.17162i | −0.775074 | + | 0.141046i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.94113 | − | 13.0093i | 0.705083 | − | 1.54392i | −0.128615 | − | 0.991695i | \(-0.541053\pi\) |
0.833697 | − | 0.552221i | \(-0.186220\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.74468 | − | 2.37828i | 0.321240 | − | 0.278356i | −0.479280 | − | 0.877662i | \(-0.659102\pi\) |
0.800520 | + | 0.599306i | \(0.204557\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.546277 | + | 6.80067i | −0.0630787 | + | 0.785273i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −3.76024 | − | 12.8062i | −0.428519 | − | 1.45940i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.00769 | − | 7.00860i | −0.113373 | − | 0.788530i | −0.964597 | − | 0.263727i | \(-0.915048\pi\) |
0.851224 | − | 0.524803i | \(-0.175861\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.78231 | − | 3.90271i | −0.198034 | − | 0.433635i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.53948 | − | 14.8437i | 1.04709 | − | 1.62931i | 0.313679 | − | 0.949529i | \(-0.398439\pi\) |
0.733415 | − | 0.679781i | \(-0.237925\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.68146 | + | 2.58004i | 0.399310 | + | 0.279844i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.05015 | − | 7.85819i | −0.541433 | − | 0.842486i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.21076 | + | 2.41090i | 0.870338 | + | 0.255554i | 0.686259 | − | 0.727357i | \(-0.259252\pi\) |
0.184079 | + | 0.982911i | \(0.441070\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.28177 | −0.239194 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 3.69269i | 0.382914i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.70358 | − | 3.47854i | −0.379979 | − | 0.356891i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.36679 | − | 14.5750i | −0.951054 | − | 1.47987i | −0.875783 | − | 0.482705i | \(-0.839654\pi\) |
−0.0752709 | − | 0.997163i | \(-0.523982\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.728029 | + | 5.06355i | −0.0731697 | + | 0.508906i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −14.3888 | − | 9.24712i | −1.43174 | − | 0.920123i | −0.999834 | − | 0.0182031i | \(-0.994205\pi\) |
−0.431904 | − | 0.901919i | \(-0.642158\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.12332 | + | 3.25311i | −0.701882 | + | 0.320539i | −0.734194 | − | 0.678939i | \(-0.762440\pi\) |
0.0323129 | + | 0.999478i | \(0.489713\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.89872 | − | 8.58367i | 0.282886 | − | 0.837680i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.77110 | − | 6.03182i | −0.171219 | − | 0.583118i | −0.999732 | − | 0.0231483i | \(-0.992631\pi\) |
0.828513 | − | 0.559970i | \(-0.189187\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.77196 | − | 6.66120i | 0.552854 | − | 0.638027i | −0.408692 | − | 0.912672i | \(-0.634015\pi\) |
0.961546 | + | 0.274645i | \(0.0885604\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.91244 | + | 5.66926i | 0.466269 | + | 0.538103i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.21327 | + | 0.554081i | 0.114135 | + | 0.0521235i | 0.471664 | − | 0.881778i | \(-0.343654\pi\) |
−0.357529 | + | 0.933902i | \(0.616381\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.77182 | + | 9.03803i | 0.538225 | + | 0.842801i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.795532 | + | 0.363307i | 0.0735469 | + | 0.0335878i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −3.90935 | − | 4.51163i | −0.358369 | − | 0.413580i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.02731 | + | 6.95589i | −0.547937 | + | 0.632353i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.05313 | − | 3.58662i | −0.0949571 | − | 0.323394i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 10.6536 | − | 3.39113i | 0.952891 | − | 0.303312i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.89329 | + | 2.23469i | −0.434209 | + | 0.198297i | −0.620514 | − | 0.784195i | \(-0.713076\pi\) |
0.186305 | + | 0.982492i | \(0.440349\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −9.07825 | − | 5.83424i | −0.799295 | − | 0.513676i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.14748 | + | 14.9361i | −0.187626 | + | 1.30497i | 0.650505 | + | 0.759502i | \(0.274557\pi\) |
−0.838131 | + | 0.545469i | \(0.816352\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.64783 | + | 5.67614i | 0.316307 | + | 0.492184i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −8.64392 | + | 9.20311i | −0.743950 | + | 0.792078i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | − | 7.04424i | − | 0.601830i | −0.953651 | − | 0.300915i | \(-0.902708\pi\) | ||
0.953651 | − | 0.300915i | \(-0.0972920\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.7928 | 0.915434 | 0.457717 | − | 0.889098i | \(-0.348667\pi\) | ||||
0.457717 | + | 0.889098i | \(0.348667\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 14.6002 | + | 4.28700i | 1.22956 | + | 0.361031i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.86740 | + | 2.90574i | 0.156160 | + | 0.242990i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.78513 | + | 12.5355i | −0.729565 | + | 1.04102i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.34042 | + | 2.08574i | −0.110556 | + | 0.172029i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.27571 | − | 7.17280i | −0.268356 | − | 0.587618i | 0.726697 | − | 0.686958i | \(-0.241054\pi\) |
−0.995054 | + | 0.0993394i | \(0.968327\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.66368 | + | 18.5263i | 0.216767 | + | 1.50765i | 0.749862 | + | 0.661594i | \(0.230120\pi\) |
−0.533095 | + | 0.846056i | \(0.678971\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.644633 | + | 2.19542i | 0.0521155 | + | 0.177489i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.60077 | − | 2.29124i | 0.449864 | − | 0.184037i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.0309 | − | 8.69181i | 0.800552 | − | 0.693682i | −0.155191 | − | 0.987884i | \(-0.549599\pi\) |
0.955743 | + | 0.294202i | \(0.0950540\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.06676 | + | 11.0947i | −0.401820 | + | 0.879864i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.51752 | − | 13.5049i | −0.356030 | − | 1.06434i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.25982 | − | 1.03203i | −0.177003 | − | 0.0808346i | 0.324943 | − | 0.945734i | \(-0.394655\pi\) |
−0.501946 | + | 0.864899i | \(0.667382\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −13.3033 | + | 3.33349i | −1.03566 | + | 0.259512i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.645927 | + | 0.559699i | 0.0499833 | + | 0.0433108i | 0.679494 | − | 0.733681i | \(-0.262199\pi\) |
−0.629511 | + | 0.776992i | \(0.716745\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.9068 | + | 3.49616i | −0.915910 | + | 0.268935i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.368041 | − | 2.55978i | −0.0281448 | − | 0.195751i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.98737 | + | 1.82097i | −0.303154 | + | 0.138446i | −0.561184 | − | 0.827691i | \(-0.689654\pi\) |
0.258030 | + | 0.966137i | \(0.416927\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −14.8176 | + | 0.929460i | −1.12010 | + | 0.0702606i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.09792 | − | 0.589192i | −0.308018 | − | 0.0442864i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 8.99343 | − | 5.77972i | 0.672200 | − | 0.431997i | −0.159518 | − | 0.987195i | \(-0.550994\pi\) |
0.831718 | + | 0.555198i | \(0.187358\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.42900 | − | 0.713219i | −0.180546 | − | 0.0530132i | 0.190210 | − | 0.981743i | \(-0.439083\pi\) |
−0.370756 | + | 0.928730i | \(0.620901\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 5.18912i | − | 0.383591i | ||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 5.55060 | − | 10.9685i | 0.408088 | − | 0.806417i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.54595 | + | 8.67072i | −0.186178 | + | 0.634066i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 14.1048 | − | 9.06460i | 1.02597 | − | 0.659352i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.661370 | − | 4.59993i | 0.0478551 | − | 0.332839i | −0.951803 | − | 0.306709i | \(-0.900772\pi\) |
0.999659 | − | 0.0261307i | \(-0.00831859\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.5217 | + | 19.4842i | −0.901335 | + | 1.40250i | 0.0140393 | + | 0.999901i | \(0.495531\pi\) |
−0.915374 | + | 0.402603i | \(0.868105\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.0939417 | + | 2.34275i | −0.00672731 | + | 0.167768i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 16.0266 | − | 2.30427i | 1.14185 | − | 0.164173i | 0.454667 | − | 0.890661i | \(-0.349758\pi\) |
0.687178 | + | 0.726489i | \(0.258849\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 14.7459 | − | 4.32977i | 1.04531 | − | 0.306929i | 0.286386 | − | 0.958114i | \(-0.407546\pi\) |
0.758919 | + | 0.651185i | \(0.225728\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.436964 | − | 0.504283i | 0.0308211 | − | 0.0355694i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 15.3623 | − | 13.3115i | 1.07822 | − | 0.934283i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.78644 | + | 3.82272i | −0.334300 | + | 0.266990i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.575260 | + | 5.42774i | −0.0399833 | + | 0.377254i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.24293 | − | 9.29073i | 0.293490 | − | 0.642653i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.14260 | − | 4.78081i | −0.285188 | − | 0.329125i | 0.595021 | − | 0.803710i | \(-0.297144\pi\) |
−0.880210 | + | 0.474585i | \(0.842598\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 14.7483 | + | 12.7795i | 1.01054 | + | 0.875638i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.21601 | + | 17.3892i | −0.219330 | + | 1.18593i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.95393 | + | 1.14360i | −0.539948 | + | 0.0776328i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.05861 | + | 4.50772i | 0.139108 | + | 0.304604i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.29967 | + | 0.835247i | 0.0874253 | + | 0.0561848i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.2931 | − | 1.62371i | −0.756244 | − | 0.108731i | −0.246600 | − | 0.969117i | \(-0.579314\pi\) |
−0.509643 | + | 0.860386i | \(0.670223\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.31410 | + | 2.03523i | 0.354273 | + | 0.135682i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.608044 | − | 2.07081i | 0.0403573 | − | 0.137444i | −0.936850 | − | 0.349731i | \(-0.886273\pi\) |
0.977207 | + | 0.212287i | \(0.0680911\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 17.7382 | 1.17218 | 0.586088 | − | 0.810248i | \(-0.300667\pi\) | ||||
0.586088 | + | 0.810248i | \(0.300667\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 18.2120 | 1.19826 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.98201 | + | 10.1558i | −0.195358 | + | 0.665329i | 0.802299 | + | 0.596922i | \(0.203610\pi\) |
−0.997658 | + | 0.0684068i | \(0.978208\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.55696 | − | 24.8044i | −0.166798 | − | 1.61806i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 9.56334 | + | 1.37500i | 0.621206 | + | 0.0893159i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −14.8499 | − | 9.54344i | −0.960559 | − | 0.617314i | −0.0364064 | − | 0.999337i | \(-0.511591\pi\) |
−0.924153 | + | 0.382023i | \(0.875227\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.68519 | + | 19.0179i | 0.559462 | + | 1.22505i | 0.952221 | + | 0.305410i | \(0.0987934\pi\) |
−0.392759 | + | 0.919641i | \(0.628479\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −10.9723 | + | 1.57758i | −0.703874 | + | 0.101202i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 3.99518 | + | 0.738883i | 0.255243 | + | 0.0472055i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.31964 | − | 1.14347i | −0.0839666 | − | 0.0727575i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 15.7668 | + | 18.1958i | 0.999179 | + | 1.15311i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.704529 | + | 1.54270i | −0.0444695 | + | 0.0973746i | −0.930563 | − | 0.366132i | \(-0.880682\pi\) |
0.886093 | + | 0.463507i | \(0.153409\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −13.5008 | + | 16.8053i | −0.848789 | + | 1.05654i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.79315 | + | 3.82808i | −0.300159 | + | 0.239723i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −15.1648 | + | 13.1404i | −0.945957 | + | 0.819677i | −0.983738 | − | 0.179609i | \(-0.942517\pi\) |
0.0377807 | + | 0.999286i | \(0.487971\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.6901 | + | 12.3370i | −0.664248 | + | 0.766583i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −7.47548 | + | 2.19500i | −0.462721 | + | 0.135867i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 13.1464 | − | 1.89017i | 0.810644 | − | 0.116553i | 0.275486 | − | 0.961305i | \(-0.411161\pi\) |
0.535158 | + | 0.844752i | \(0.320252\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 19.9713 | + | 0.800828i | 1.22683 | + | 0.0491945i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6.31289 | + | 9.82305i | −0.386343 | + | 0.601161i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.13242 | + | 7.87617i | −0.0690450 | + | 0.480219i | 0.925735 | + | 0.378173i | \(0.123448\pi\) |
−0.994780 | + | 0.102045i | \(0.967461\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.24766 | − | 5.30045i | 0.501009 | − | 0.321979i | −0.265610 | − | 0.964080i | \(-0.585573\pi\) |
0.766620 | + | 0.642101i | \(0.221937\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.877176 | − | 2.98739i | 0.0530891 | − | 0.180805i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 13.3104 | + | 18.1089i | 0.802646 | + | 1.09201i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 26.6094i | 1.59881i | 0.600795 | + | 0.799403i | \(0.294851\pi\) | ||||
−0.600795 | + | 0.799403i | \(0.705149\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.95520 | + | 0.867724i | 0.176923 | + | 0.0519493i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −26.3968 | + | 16.9642i | −1.57470 | + | 1.01200i | −0.596937 | + | 0.802288i | \(0.703616\pi\) |
−0.977764 | + | 0.209710i | \(0.932748\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.2705 | + | 1.76424i | 0.729407 | + | 0.104873i | 0.497006 | − | 0.867747i | \(-0.334433\pi\) |
0.232401 | + | 0.972620i | \(0.425342\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 5.97801 | − | 3.51163i | 0.354107 | − | 0.208011i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.39931 | − | 3.37915i | 0.436767 | − | 0.199465i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.84412 | − | 12.8262i | −0.108478 | − | 0.754480i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 22.6831 | − | 6.66035i | 1.32971 | − | 0.390437i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −14.2814 | − | 12.3749i | −0.834326 | − | 0.722947i | 0.128895 | − | 0.991658i | \(-0.458857\pi\) |
−0.963221 | + | 0.268711i | \(0.913402\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.64904 | + | 6.58097i | 0.0960109 | + | 0.383159i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −23.0868 | − | 10.5434i | −1.33963 | − | 0.611789i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.10639 | + | 3.02402i | 0.121815 | + | 0.174884i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.75528 | − | 21.3611i | 0.562285 | − | 1.23123i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 17.6382 | − | 15.2836i | 1.01329 | − | 0.878018i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −7.87044 | + | 3.21975i | −0.450660 | + | 0.184362i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.11586 | + | 10.6116i | 0.177832 | + | 0.605639i | 0.999370 | + | 0.0354857i | \(0.0112978\pi\) |
−0.821539 | + | 0.570153i | \(0.806884\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.52071 | − | 10.5767i | −0.0865099 | − | 0.601690i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −10.8139 | − | 23.6790i | −0.613197 | − | 1.34272i | −0.920365 | − | 0.391060i | \(-0.872109\pi\) |
0.307168 | − | 0.951655i | \(-0.400619\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −14.9750 | + | 23.3016i | −0.846438 | + | 1.31708i | 0.100259 | + | 0.994961i | \(0.468033\pi\) |
−0.946698 | + | 0.322123i | \(0.895604\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −6.18821 | − | 4.33682i | −0.348666 | − | 0.244352i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 11.0151 | + | 17.1398i | 0.618668 | + | 0.962666i | 0.999280 | + | 0.0379311i | \(0.0120767\pi\) |
−0.380613 | + | 0.924735i | \(0.624287\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −29.5241 | − | 8.66907i | −1.65303 | − | 0.485375i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 8.57797 | 0.478776 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 4.56836i | − | 0.254191i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.61158 | − | 1.31115i | 0.200334 | − | 0.0727293i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 6.50222 | + | 10.1176i | 0.359573 | + | 0.559507i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −4.71248 | + | 32.7760i | −0.259807 | + | 1.80700i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −29.4189 | − | 18.9064i | −1.61701 | − | 1.03919i | −0.957884 | − | 0.287155i | \(-0.907290\pi\) |
−0.659125 | − | 0.752034i | \(-0.729073\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 5.69137 | − | 2.59916i | 0.311885 | − | 0.142433i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −1.03598 | − | 0.349853i | −0.0566018 | − | 0.0191145i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.63752 | − | 32.8224i | −0.524989 | − | 1.78795i | −0.610972 | − | 0.791652i | \(-0.709221\pi\) |
0.0859829 | − | 0.996297i | \(-0.472597\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.19184 | + | 1.37546i | −0.0647319 | + | 0.0747046i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 7.96584 | + | 9.19307i | 0.431374 | + | 0.497833i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.9993 | + | 6.39328i | 0.755893 | + | 0.345205i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −14.0518 | + | 4.08224i | −0.756525 | + | 0.219780i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6.81652 | + | 3.11300i | 0.365930 | + | 0.167115i | 0.589890 | − | 0.807484i | \(-0.299171\pi\) |
−0.223960 | + | 0.974598i | \(0.571898\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.39403 | − | 1.60879i | −0.0746205 | − | 0.0861166i | 0.717212 | − | 0.696855i | \(-0.245418\pi\) |
−0.791832 | + | 0.610739i | \(0.790873\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.84145 | + | 3.27920i | −0.151665 | + | 0.175031i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −9.80538 | − | 33.3940i | −0.521887 | − | 1.77739i | −0.622678 | − | 0.782478i | \(-0.713956\pi\) |
0.100791 | − | 0.994908i | \(-0.467863\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.2319 | − | 30.2985i | 0.543050 | − | 1.60808i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 7.40968 | − | 3.38389i | 0.392162 | − | 0.179094i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −16.0116 | − | 10.2900i | −0.845058 | − | 0.543086i | 0.0449720 | − | 0.998988i | \(-0.485680\pi\) |
−0.890030 | + | 0.455903i | \(0.849316\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.96916 | − | 13.6958i | 0.103640 | − | 0.720832i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.78987 | − | 10.5652i | −0.356376 | − | 0.554532i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.55962 | − | 5.91928i | 0.291004 | − | 0.309829i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 3.47090i | − | 0.181180i | −0.995888 | − | 0.0905898i | \(-0.971125\pi\) | ||
0.995888 | − | 0.0905898i | \(-0.0288752\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3.11778 | −0.162305 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −25.4667 | − | 7.47769i | −1.32216 | − | 0.388223i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.2286 | + | 20.5841i | 0.684951 | + | 1.06581i | 0.993415 | + | 0.114569i | \(0.0365488\pi\) |
−0.308464 | + | 0.951236i | \(0.599815\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.344251 | + | 15.2519i | 0.0177771 | + | 0.787602i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.84405 | + | 4.42543i | −0.146476 | + | 0.227921i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.3045 | + | 31.3226i | 0.734775 | + | 1.60893i | 0.791962 | + | 0.610570i | \(0.209059\pi\) |
−0.0571873 | + | 0.998363i | \(0.518213\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.04463 | − | 7.26558i | −0.0535182 | − | 0.372227i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.06059 | − | 13.8291i | −0.207487 | − | 0.706634i | −0.995816 | − | 0.0913809i | \(-0.970872\pi\) |
0.788330 | − | 0.615253i | \(-0.210946\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −11.3002 | − | 27.6224i | −0.575910 | − | 1.40777i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −6.80229 | + | 5.89422i | −0.345780 | + | 0.299620i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −0.422071 | + | 0.924206i | −0.0213998 | + | 0.0468591i | −0.920030 | − | 0.391848i | \(-0.871836\pi\) |
0.898630 | + | 0.438707i | \(0.144563\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.37039 | + | 9.34590i | −0.119876 | + | 0.472643i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −18.7294 | − | 8.55342i | −0.944772 | − | 0.431463i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −3.84838 | − | 15.3581i | −0.193633 | − | 0.772747i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 19.8315 | + | 17.1841i | 0.995316 | + | 0.862446i | 0.990496 | − | 0.137542i | \(-0.0439203\pi\) |
0.00482001 | + | 0.999988i | \(0.498466\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −8.83377 | + | 2.59383i | −0.442242 | + | 0.129854i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.58050 | + | 24.9030i | 0.178802 | + | 1.24359i | 0.859540 | + | 0.511068i | \(0.170750\pi\) |
−0.680739 | + | 0.732526i | \(0.738341\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.89165 | − | 0.863889i | 0.0942300 | − | 0.0430334i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −4.85921 | − | 8.27206i | −0.241456 | − | 0.411042i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 24.4594 | + | 3.51673i | 1.21241 | + | 0.174318i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11.6057 | + | 7.45853i | −0.573865 | + | 0.368801i | −0.795154 | − | 0.606408i | \(-0.792610\pi\) |
0.221289 | + | 0.975208i | \(0.428974\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 9.22261 | + | 2.70800i | 0.454918 | + | 0.133576i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | − | 9.00925i | − | 0.443316i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.8150 | − | 35.2039i | 0.874502 | − | 1.72809i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −4.14906 | + | 14.1304i | −0.203180 | + | 0.691969i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 7.47509 | − | 4.80395i | 0.365182 | − | 0.234688i | −0.345162 | − | 0.938543i | \(-0.612176\pi\) |
0.710344 | + | 0.703855i | \(0.248539\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.27023 | + | 15.7898i | −0.110644 | + | 0.769548i | 0.856651 | + | 0.515896i | \(0.172541\pi\) |
−0.967296 | + | 0.253652i | \(0.918368\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 6.86164 | − | 10.6769i | 0.333624 | − | 0.519129i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 8.78017 | + | 4.89461i | 0.425901 | + | 0.237423i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.1772 | − | 1.60704i | 0.540903 | − | 0.0777701i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −4.52220 | + | 1.32784i | −0.218334 | + | 0.0641086i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.19893 | − | 4.84583i | 0.202255 | − | 0.233415i | −0.645556 | − | 0.763713i | \(-0.723374\pi\) |
0.847812 | + | 0.530298i | \(0.177920\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.8935 | − | 11.1723i | 0.619622 | − | 0.536905i | −0.287496 | − | 0.957782i | \(-0.592823\pi\) |
0.907118 | + | 0.420877i | \(0.138277\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −13.0348 | − | 16.3209i | −0.624969 | − | 0.782525i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4.15512 | − | 10.0743i | 0.198767 | − | 0.481920i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.82363 | − | 17.1314i | 0.373402 | − | 0.817635i | −0.625887 | − | 0.779914i | \(-0.715263\pi\) |
0.999288 | − | 0.0377214i | \(-0.0120099\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.35420 | + | 1.56284i | 0.0644859 | + | 0.0744207i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −5.41830 | − | 4.69499i | −0.257431 | − | 0.223065i | 0.516577 | − | 0.856241i | \(-0.327206\pi\) |
−0.774009 | + | 0.633175i | \(0.781751\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 18.8158 | + | 3.47986i | 0.891956 | + | 0.164961i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 10.6502 | − | 1.53127i | 0.503737 | − | 0.0724265i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −8.72624 | − | 19.1078i | −0.411817 | − | 0.901753i | −0.995934 | − | 0.0900838i | \(-0.971287\pi\) |
0.584117 | − | 0.811669i | \(-0.301441\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.3588 | − | 6.65721i | −0.487778 | − | 0.313476i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −25.2794 | − | 3.63463i | −1.18773 | − | 0.170770i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.07530 | + | 0.523187i | −0.237934 | + | 0.0245274i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.482996 | − | 1.64493i | 0.0225936 | − | 0.0769468i | −0.947425 | − | 0.319979i | \(-0.896324\pi\) |
0.970018 | + | 0.243033i | \(0.0781422\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −11.3520 | −0.529868 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 37.0638 | 1.72624 | 0.863118 | − | 0.505003i | \(-0.168509\pi\) | ||||
0.863118 | + | 0.505003i | \(0.168509\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.60593 | − | 32.7148i | 0.446425 | − | 1.52038i | −0.362222 | − | 0.932092i | \(-0.617982\pi\) |
0.808648 | − | 0.588293i | \(-0.200200\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.846697 | + | 8.21358i | 0.0392646 | + | 0.380895i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 20.4241 | + | 2.93654i | 0.945113 | + | 0.135887i | 0.597605 | − | 0.801790i | \(-0.296119\pi\) |
0.347508 | + | 0.937677i | \(0.387028\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.22153 | + | 0.785032i | 0.0564052 | + | 0.0362494i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.52353 | + | 16.4742i | 0.346666 | + | 0.759093i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −35.1862 | + | 5.05901i | −1.61786 | + | 0.232613i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.03539 | − | 6.88806i | −0.414572 | − | 0.316046i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.68827 | + | 6.66192i | 0.352022 | + | 0.305028i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 7.60220 | + | 8.77341i | 0.347353 | + | 0.400867i | 0.902363 | − | 0.430977i | \(-0.141831\pi\) |
−0.555010 | + | 0.831844i | \(0.687285\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.75495 | − | 3.84280i | 0.0800187 | − | 0.175217i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 19.4179 | − | 0.722847i | 0.883544 | − | 0.0328907i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −24.1763 | − | 30.2712i | −1.09779 | − | 1.37455i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −25.9777 | + | 22.5098i | −1.17716 | + | 1.02002i | −0.177809 | + | 0.984065i | \(0.556901\pi\) |
−0.999354 | + | 0.0359517i | \(0.988554\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 2.21991 | − | 2.56192i | 0.100388 | − | 0.115854i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.11033 | + | 1.79415i | −0.275755 | + | 0.0809690i | −0.416686 | − | 0.909050i | \(-0.636809\pi\) |
0.140931 | + | 0.990019i | \(0.454990\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −13.6229 | + | 1.95867i | −0.613544 | + | 0.0882143i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.458319 | + | 11.4297i | −0.0205999 | + | 0.513727i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −22.9592 | + | 35.7252i | −1.02986 | + | 1.60249i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.250900 | + | 1.74505i | −0.0112318 | + | 0.0781192i | −0.994666 | − | 0.103144i | \(-0.967110\pi\) |
0.983435 | + | 0.181264i | \(0.0580187\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.981093 | + | 0.630511i | −0.0438320 | + | 0.0281691i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 6.97593 | − | 23.7578i | 0.311041 | − | 1.05931i | −0.644537 | − | 0.764573i | \(-0.722950\pi\) |
0.955579 | − | 0.294736i | \(-0.0952318\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −34.1250 | − | 17.2690i | −1.51854 | − | 0.768459i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 16.9329i | − | 0.752018i | ||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −19.7685 | − | 5.80454i | −0.876221 | − | 0.257282i | −0.187462 | − | 0.982272i | \(-0.560026\pi\) |
−0.688759 | + | 0.724990i | \(0.741844\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.07195 | + | 5.83019i | −0.401320 | + | 0.257912i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 12.6999 | + | 1.82598i | 0.560716 | + | 0.0806188i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −15.0984 | + | 8.86914i | −0.665313 | + | 0.390821i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 45.5956 | − | 20.8228i | 2.00529 | − | 0.915785i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.851235 | − | 5.92047i | −0.0373651 | − | 0.259880i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 35.2335 | − | 10.3455i | 1.54361 | − | 0.453244i | 0.604425 | − | 0.796662i | \(-0.293403\pi\) |
0.939183 | + | 0.343418i | \(0.111585\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −5.10044 | − | 4.41955i | −0.223026 | − | 0.193254i | 0.536179 | − | 0.844104i | \(-0.319867\pi\) |
−0.759206 | + | 0.650850i | \(0.774412\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.47941 | − | 19.7571i | 0.195498 | − | 0.862272i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 4.94909 | + | 2.26017i | 0.215586 | + | 0.0984547i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.7278 | + | 18.4540i | −0.596859 | + | 0.802346i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.43447 | + | 3.14105i | −0.0622506 | + | 0.136310i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.59094 | + | 1.37856i | −0.0689113 | + | 0.0597120i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.32246 | − | 13.0104i | −0.230110 | − | 0.562487i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 4.10973 | + | 13.9965i | 0.177348 | + | 0.603992i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1.16231 | + | 8.08407i | 0.0500644 | + | 0.348206i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.51911 | − | 16.4646i | −0.323272 | − | 0.707866i | 0.676315 | − | 0.736613i | \(-0.263576\pi\) |
−0.999587 | + | 0.0287461i | \(0.990849\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.86755 | − | 2.90597i | 0.0801444 | − | 0.124707i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 11.3111 | − | 16.1398i | 0.484515 | − | 0.691354i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.67579 | − | 13.4998i | −0.370950 | − | 0.577209i | 0.604724 | − | 0.796435i | \(-0.293283\pi\) |
−0.975674 | + | 0.219226i | \(0.929647\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −4.15277 | − | 1.21936i | −0.177236 | − | 0.0520412i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 15.5555 | 0.662685 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 21.0250i | 0.894072i | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 12.2266 | + | 11.4837i | 0.518989 | + | 0.487454i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.10838 | + | 3.28070i | 0.0893349 | + | 0.139008i | 0.883045 | − | 0.469289i | \(-0.155490\pi\) |
−0.793710 | + | 0.608296i | \(0.791853\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.864885 | + | 6.01541i | −0.0365807 | + | 0.254425i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −10.3733 | − | 6.66654i | −0.437962 | − | 0.281461i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 12.4992 | − | 5.70822i | 0.526781 | − | 0.240573i | −0.134229 | − | 0.990950i | \(-0.542856\pi\) |
0.661009 | + | 0.750378i | \(0.270128\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.82569 | + | 0.954241i | 0.118878 | + | 0.0401452i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 3.58920 | + | 12.2237i | 0.150732 | + | 0.513347i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 13.6883 | − | 15.7972i | 0.573844 | − | 0.662251i | −0.392426 | − | 0.919784i | \(-0.628364\pi\) |
0.966270 | + | 0.257532i | \(0.0829094\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.00515 | + | 1.16000i | 0.0420641 | + | 0.0485445i | 0.776392 | − | 0.630251i | \(-0.217048\pi\) |
−0.734328 | + | 0.678795i | \(0.762502\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 5.76817 | + | 2.63424i | 0.240969 | + | 0.110047i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 14.9105 | + | 18.7797i | 0.621810 | + | 0.783168i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.92070 | + | 3.16058i | 0.288113 | + | 0.131577i | 0.554229 | − | 0.832364i | \(-0.313013\pi\) |
−0.266116 | + | 0.963941i | \(0.585741\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −20.6959 | − | 23.8843i | −0.860090 | − | 0.992597i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −34.3104 | + | 39.5963i | −1.42343 | + | 1.64273i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.3195 | + | 38.5505i | 0.468804 | + | 1.59660i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.85279 | + | 0.625690i | 0.0766034 | + | 0.0258691i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −14.1186 | + | 6.44776i | −0.582738 | + | 0.266127i | −0.684896 | − | 0.728641i | \(-0.740152\pi\) |
0.102158 | + | 0.994768i | \(0.467425\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.17317 | − | 3.32460i | −0.213157 | − | 0.136988i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.14421 | + | 21.8685i | −0.129336 | + | 0.899549i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 5.62163 | + | 8.74742i | 0.230853 | + | 0.359214i | 0.937283 | − | 0.348569i | \(-0.113332\pi\) |
−0.706431 | + | 0.707782i | \(0.749696\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9.72996 | − | 9.13875i | −0.398890 | − | 0.374652i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 20.9704i | 0.858260i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 30.5817 | 1.24954 | 0.624768 | − | 0.780811i | \(-0.285194\pi\) | ||||
0.624768 | + | 0.780811i | \(0.285194\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −25.0967 | − | 7.36907i | −1.02372 | − | 0.300591i | −0.273564 | − | 0.961854i | \(-0.588202\pi\) |
−0.750154 | + | 0.661263i | \(0.770021\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.300890 | − | 0.468194i | −0.0122532 | − | 0.0190663i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −11.8115 | + | 16.8539i | −0.480206 | + | 0.685207i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.12169 | + | 3.30142i | −0.0861168 | + | 0.134000i | −0.881640 | − | 0.471923i | \(-0.843560\pi\) |
0.795523 | + | 0.605924i | \(0.207196\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 11.5223 | + | 25.2302i | 0.466906 | + | 1.02238i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.21955 | − | 8.48217i | −0.0493378 | − | 0.343152i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.76231 | + | 23.0303i | 0.273127 | + | 0.930185i | 0.975799 | + | 0.218671i | \(0.0701721\pi\) |
−0.702672 | + | 0.711514i | \(0.748010\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −3.16482 | − | 7.73617i | −0.127618 | − | 0.311953i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.9557 | + | 19.8912i | −0.924162 | + | 0.800791i | −0.980276 | − | 0.197633i | \(-0.936674\pi\) |
0.0561140 | + | 0.998424i | \(0.482129\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12.2299 | − | 26.7797i | 0.491560 | − | 1.07637i | −0.487561 | − | 0.873089i | \(-0.662113\pi\) |
0.979121 | − | 0.203278i | \(-0.0651594\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −25.0339 | − | 10.3252i | −1.00458 | − | 0.414335i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −23.1136 | − | 10.5556i | −0.926027 | − | 0.422902i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 22.9192 | − | 9.98561i | 0.916766 | − | 0.399424i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 10.5327 | + | 9.12664i | 0.420636 | + | 0.364483i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 10.6049 | − | 3.11389i | 0.422846 | − | 0.124159i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.95097 | + | 20.5244i | 0.117476 | + | 0.817065i | 0.960319 | + | 0.278905i | \(0.0899713\pi\) |
−0.842843 | + | 0.538160i | \(0.819120\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 7.85177 | − | 3.58578i | 0.312080 | − | 0.142522i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −10.3717 | + | 6.09256i | −0.411587 | + | 0.241776i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.38205 | + | 0.198709i | 0.0547587 | + | 0.00787312i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 13.6929 | − | 8.79987i | 0.541681 | − | 0.348118i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 24.7620 | + | 7.27079i | 0.978042 | + | 0.287179i | 0.731416 | − | 0.681932i | \(-0.238860\pi\) |
0.246626 | + | 0.969111i | \(0.420678\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 7.91582i | − | 0.312169i | −0.987744 | − | 0.156085i | \(-0.950113\pi\) | ||
0.987744 | − | 0.156085i | \(-0.0498873\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −21.5303 | − | 10.8954i | −0.847755 | − | 0.429007i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −13.4139 | + | 45.6835i | −0.527354 | + | 1.79600i | 0.0742885 | + | 0.997237i | \(0.476331\pi\) |
−0.601642 | + | 0.798766i | \(0.705487\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11.4729 | + | 7.37319i | −0.450351 | + | 0.289423i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.56046 | − | 10.8533i | 0.0611593 | − | 0.425373i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −6.14094 | + | 9.55549i | −0.240314 | + | 0.373935i | −0.940371 | − | 0.340152i | \(-0.889522\pi\) |
0.700057 | + | 0.714087i | \(0.253158\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.35191 | + | 33.7144i | −0.0528236 | + | 1.31733i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 4.09120 | − | 0.588226i | 0.159613 | − | 0.0229489i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 19.5907 | − | 5.75235i | 0.763145 | − | 0.224080i | 0.123076 | − | 0.992397i | \(-0.460724\pi\) |
0.640069 | + | 0.768318i | \(0.278906\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.7466 | − | 20.4807i | 0.690264 | − | 0.796607i | −0.297139 | − | 0.954834i | \(-0.596033\pi\) |
0.987403 | + | 0.158228i | \(0.0505780\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1.59317 | + | 1.38049i | −0.0618736 | + | 0.0536138i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 9.41529 | + | 11.7889i | 0.365109 | + | 0.457155i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −31.8232 | − | 8.07126i | −1.23220 | − | 0.312520i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 6.46722 | − | 14.1612i | 0.250037 | − | 0.547505i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −11.1939 | − | 12.9185i | −0.432137 | − | 0.498713i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.7307 | − | 15.3638i | −0.683469 | − | 0.592229i | 0.242353 | − | 0.970188i | \(-0.422081\pi\) |
−0.925822 | + | 0.377959i | \(0.876626\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −17.1163 | + | 22.4523i | −0.658808 | + | 0.864189i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −49.4021 | + | 7.10295i | −1.89868 | + | 0.272989i | −0.989623 | − | 0.143688i | \(-0.954104\pi\) |
−0.909055 | + | 0.416676i | \(0.863195\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 21.3710 | + | 46.7959i | 0.820143 | + | 1.79586i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.47744 | + | 1.59215i | 0.0949356 | + | 0.0610114i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 8.55182 | + | 1.22957i | 0.327226 | + | 0.0470480i | 0.303970 | − | 0.952681i | \(-0.401688\pi\) |
0.0232560 | + | 0.999730i | \(0.492597\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.61517 | − | 15.6684i | −0.0617126 | − | 0.598657i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −6.81908 | + | 23.2236i | −0.260164 | + | 0.886037i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 6.86881 | 0.261681 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 29.4428 | 1.12006 | 0.560028 | − | 0.828474i | \(-0.310790\pi\) | ||||
0.560028 | + | 0.828474i | \(0.310790\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 4.27953 | − | 14.5747i | 0.162566 | − | 0.553649i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 24.0062 | − | 2.47468i | 0.910609 | − | 0.0938701i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.45151 | − | 0.783809i | −0.206491 | − | 0.0296889i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −12.1500 | − | 7.80835i | −0.459557 | − | 0.295339i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −14.4236 | − | 31.5833i | −0.544772 | − | 1.19288i | −0.959181 | − | 0.282793i | \(-0.908739\pi\) |
0.414410 | − | 0.910091i | \(-0.363988\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −12.3650 | + | 1.77781i | −0.466354 | + | 0.0670516i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 33.4579 | + | 6.18782i | 1.26010 | + | 0.233047i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 38.3827 | + | 33.2588i | 1.44353 | + | 1.25083i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 25.7118 | + | 29.6729i | 0.965625 | + | 1.11439i | 0.993391 | + | 0.114776i | \(0.0366152\pi\) |
−0.0277662 | + | 0.999614i | \(0.508839\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.34763 | − | 7.33028i | 0.125546 | − | 0.274907i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 8.85818 | + | 9.48562i | 0.331742 | + | 0.355239i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.81989 | + | 6.03500i | 0.180254 | + | 0.225696i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 18.2034 | − | 15.7733i | 0.679818 | − | 0.589066i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −1.41153 | + | 1.62899i | −0.0526412 | + | 0.0607512i | −0.781459 | − | 0.623956i | \(-0.785524\pi\) |
0.728818 | + | 0.684707i | \(0.240070\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 22.3110 | − | 6.55110i | 0.830905 | − | 0.243976i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −28.2379 | + | 4.05999i | −1.05018 | + | 0.150993i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −16.6663 | + | 29.8968i | −0.618972 | + | 1.11034i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 5.33368 | − | 8.29937i | 0.197815 | − | 0.307807i | −0.728148 | − | 0.685420i | \(-0.759619\pi\) |
0.925963 | + | 0.377613i | \(0.123255\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 3.98441 | − | 27.7122i | 0.147571 | − | 1.02638i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −13.3758 | + | 8.59609i | −0.494721 | + | 0.317938i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −9.46870 | + | 32.2474i | −0.349735 | + | 1.19109i | 0.577433 | + | 0.816438i | \(0.304055\pi\) |
−0.927167 | + | 0.374648i | \(0.877764\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.50324 | + | 4.94662i | −0.0923334 | + | 0.182459i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 2.19805i | − | 0.0809660i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 30.4774 | + | 8.94898i | 1.12113 | + | 0.329193i | 0.789216 | − | 0.614116i | \(-0.210487\pi\) |
0.331914 | + | 0.943310i | \(0.392306\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.00439 | − | 1.28814i | 0.0736331 | − | 0.0473211i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 21.6490 | + | 3.11265i | 0.794224 | + | 0.114192i | 0.527471 | − | 0.849573i | \(-0.323140\pi\) |
0.266753 | + | 0.963765i | \(0.414049\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −8.93074 | − | 15.2032i | −0.327197 | − | 0.557003i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 18.2668 | − | 8.34216i | 0.668346 | − | 0.305224i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.65654 | + | 18.4767i | 0.0970680 | + | 0.675123i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −35.1249 | + | 10.3136i | −1.28173 | + | 0.376349i | −0.850538 | − | 0.525913i | \(-0.823724\pi\) |
−0.431188 | + | 0.902262i | \(0.641906\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −1.74893 | − | 1.51546i | −0.0637346 | − | 0.0552263i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 10.1727 | + | 40.5970i | 0.370222 | + | 1.47747i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 46.0786 | + | 21.0434i | 1.67475 | + | 0.764834i | 0.999632 | + | 0.0271282i | \(0.00863625\pi\) |
0.675122 | + | 0.737706i | \(0.264091\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −16.8121 | − | 24.1363i | −0.610242 | − | 0.876092i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −3.24573 | + | 7.10716i | −0.117658 | + | 0.257634i | −0.959293 | − | 0.282411i | \(-0.908866\pi\) |
0.841636 | + | 0.540046i | \(0.181593\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −19.7794 | + | 17.1389i | −0.716062 | + | 0.620471i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.93723 | + | 4.73542i | 0.0700408 | + | 0.171209i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.656866 | + | 2.23708i | 0.0237180 | + | 0.0807763i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.93750 | − | 27.3859i | −0.141990 | − | 0.987562i | −0.928857 | − | 0.370439i | \(-0.879207\pi\) |
0.786867 | − | 0.617123i | \(-0.211702\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.3742 | − | 24.9060i | −0.409632 | − | 0.896968i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 4.66212 | − | 7.25440i | 0.167685 | − | 0.260923i | −0.747234 | − | 0.664561i | \(-0.768618\pi\) |
0.914918 | + | 0.403639i | \(0.132255\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 11.9323 | − | 6.38056i | 0.428622 | − | 0.229197i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −12.0425 | − | 18.7386i | −0.432024 | − | 0.672242i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 5.97273 | + | 1.75375i | 0.213995 | + | 0.0628346i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 64.2844 | 2.30028 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 38.6542i | − | 1.38139i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 20.3186 | − | 21.6330i | 0.725201 | − | 0.772115i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.90386 | + | 4.51849i | 0.103511 | + | 0.161067i | 0.889146 | − | 0.457624i | \(-0.151300\pi\) |
−0.785634 | + | 0.618691i | \(0.787663\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −2.57917 | + | 17.9385i | −0.0918208 | + | 0.638628i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.33179 | − | 2.14121i | −0.118465 | − | 0.0761328i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.65823 | + | 1.21397i | −0.0943966 | + | 0.0431095i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −8.72601 | + | 25.8394i | −0.309480 | + | 0.916429i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −6.17074 | − | 21.0156i | −0.218579 | − | 0.744411i | −0.993648 | − | 0.112534i | \(-0.964103\pi\) |
0.775069 | − | 0.631877i | \(-0.217715\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.6819 | − | 16.9438i | 0.519409 | − | 0.599429i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.37780 | + | 7.36037i | 0.225348 | + | 0.260066i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 14.8490 | + | 6.78131i | 0.524010 | + | 0.239307i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −13.1448 | − | 29.0029i | −0.463292 | − | 1.02222i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −9.87648 | − | 4.51044i | −0.347668 | − | 0.158775i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 7.28937 | + | 8.41238i | 0.256281 | + | 0.295764i | 0.869280 | − | 0.494320i | \(-0.164583\pi\) |
−0.613000 | + | 0.790083i | \(0.710037\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −28.5626 | + | 32.9630i | −1.00297 | + | 1.15749i | −0.0154666 | + | 0.999880i | \(0.504923\pi\) |
−0.987502 | + | 0.157607i | \(0.949622\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.76894 | + | 12.8358i | 0.132182 | + | 0.450172i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −5.26311 | − | 1.77736i | −0.184359 | − | 0.0622583i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 16.3466 | − | 7.46526i | 0.571896 | − | 0.261176i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −2.18464 | − | 1.40398i | −0.0763373 | − | 0.0490590i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −3.17825 | + | 22.1052i | −0.110922 | + | 0.771477i | 0.856105 | + | 0.516802i | \(0.172878\pi\) |
−0.967027 | + | 0.254675i | \(0.918032\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.04845 | + | 3.18744i | 0.0714043 | + | 0.111107i | 0.875119 | − | 0.483907i | \(-0.160783\pi\) |
−0.803715 | + | 0.595014i | \(0.797146\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −28.8258 | + | 10.4649i | −1.00359 | + | 0.364342i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 43.9455i | − | 1.52813i | −0.645137 | − | 0.764067i | \(-0.723200\pi\) | ||
0.645137 | − | 0.764067i | \(-0.276800\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −42.0680 | −1.46108 | −0.730540 | − | 0.682870i | \(-0.760732\pi\) | ||||
−0.730540 | + | 0.682870i | \(0.760732\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −34.8382 | − | 10.2294i | −1.20852 | − | 0.354855i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 1.97496 | + | 3.07310i | 0.0684284 | + | 0.106477i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.56506 | + | 1.09682i | 0.0541610 | + | 0.0379571i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −8.26138 | + | 12.8550i | −0.285555 | + | 0.444332i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −9.35515 | − | 20.4849i | −0.322976 | − | 0.707218i | 0.676600 | − | 0.736351i | \(-0.263453\pi\) |
−0.999576 | + | 0.0291326i | \(0.990725\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.54224 | − | 17.6816i | −0.0876633 | − | 0.609712i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −12.0626 | − | 41.0813i | −0.415457 | − | 1.41492i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −25.6825 | + | 10.5066i | −0.883504 | + | 0.361437i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 20.6544 | − | 17.8972i | 0.709694 | − | 0.614954i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −7.02695 | + | 15.3869i | −0.241164 | + | 0.528076i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 26.2186 | + | 2.77878i | 0.898761 | + | 0.0952553i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −10.7291 | − | 4.89983i | −0.367359 | − | 0.167767i | 0.223178 | − | 0.974778i | \(-0.428357\pi\) |
−0.590537 | + | 0.807011i | \(0.701084\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.40556 | − | 5.60929i | −0.0480691 | − | 0.191834i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 20.0481 | + | 17.3718i | 0.684829 | + | 0.593408i | 0.926203 | − | 0.377024i | \(-0.123053\pi\) |
−0.241374 | + | 0.970432i | \(0.577598\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 11.5010 | − | 3.37700i | 0.392409 | − | 0.115222i | −0.0795746 | − | 0.996829i | \(-0.525356\pi\) |
0.471984 | + | 0.881607i | \(0.343538\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.57962 | + | 10.9865i | 0.0538334 | + | 0.374420i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −35.1099 | + | 16.0341i | −1.19515 | + | 0.545808i | −0.910775 | − | 0.412904i | \(-0.864515\pi\) |
−0.284379 | + | 0.958712i | \(0.591787\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −8.45151 | + | 4.96462i | −0.287360 | + | 0.168802i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 17.5015 | + | 2.51633i | 0.594382 | + | 0.0854592i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 26.7744 | − | 17.2069i | 0.908259 | − | 0.583703i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.360555 | − | 0.105868i | −0.0122169 | − | 0.00358722i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | − | 19.7180i | − | 0.667353i | ||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −32.7454 | + | 5.46491i | −1.10700 | + | 0.184748i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 13.2409 | − | 45.0944i | 0.447114 | − | 1.52273i | −0.360352 | − | 0.932816i | \(-0.617343\pi\) |
0.807466 | − | 0.589914i | \(-0.200838\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 21.6919 | − | 13.9405i | 0.731648 | − | 0.470202i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 0.665893 | − | 4.63139i | 0.0224345 | − | 0.156036i | −0.975525 | − | 0.219890i | \(-0.929430\pi\) |
0.997959 | + | 0.0638543i | \(0.0203393\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −14.9841 | + | 23.3158i | −0.504257 | + | 0.784639i | −0.996301 | − | 0.0859315i | \(-0.972613\pi\) |
0.492044 | + | 0.870570i | \(0.336250\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −9.25002 | − | 0.370916i | −0.310936 | − | 0.0124682i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −18.3071 | + | 2.63216i | −0.614692 | + | 0.0883794i | −0.442627 | − | 0.896706i | \(-0.645953\pi\) |
−0.172066 | + | 0.985085i | \(0.555044\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 15.3263 | − | 4.50021i | 0.514028 | − | 0.150932i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 12.6290 | − | 14.5746i | 0.423086 | − | 0.488268i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −19.1506 | + | 16.5941i | −0.640850 | + | 0.555300i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 18.6787 | − | 14.9178i | 0.624359 | − | 0.498648i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −4.76893 | + | 1.59525i | −0.159230 | + | 0.0532638i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −7.69598 | + | 16.8518i | −0.256675 | + | 0.562040i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11.7683 | + | 13.5814i | 0.392059 | + | 0.452461i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 24.2166 | + | 20.9838i | 0.805879 | + | 0.698298i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −5.56632 | − | 1.02945i | −0.185031 | − | 0.0342202i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −45.7196 | + | 6.57349i | −1.51809 | + | 0.218269i | −0.850388 | − | 0.526156i | \(-0.823633\pi\) |
−0.667706 | + | 0.744425i | \(0.732724\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −8.08649 | − | 17.7069i | −0.268212 | − | 0.587302i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −5.37851 | − | 3.45656i | −0.178198 | − | 0.114521i | 0.448501 | − | 0.893782i | \(-0.351958\pi\) |
−0.626699 | + | 0.779261i | \(0.715594\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 78.5038 | + | 11.2871i | 2.59810 | + | 0.373550i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −1.18981 | − | 11.5421i | −0.0393341 | − | 0.381569i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 12.6234 | − | 42.9914i | 0.416862 | − | 1.41970i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −52.7571 | −1.74030 | −0.870148 | − | 0.492791i | \(-0.835977\pi\) | ||||
−0.870148 | + | 0.492791i | \(0.835977\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −15.0910 | −0.497267 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 3.09625 | − | 10.5448i | 0.101914 | − | 0.347088i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 9.83113 | − | 25.6696i | 0.323245 | − | 0.844012i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −8.82173 | − | 1.26837i | −0.289744 | − | 0.0416589i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.30375 | − | 1.48053i | −0.0755835 | − | 0.0485745i | 0.502303 | − | 0.864692i | \(-0.332486\pi\) |
−0.577887 | + | 0.816117i | \(0.696122\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.71515 | − | 3.75566i | −0.0562119 | − | 0.123087i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 35.1587 | − | 5.05507i | 1.15105 | − | 0.165495i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −3.67480 | + | 19.8699i | −0.120179 | + | 0.649814i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −7.48390 | − | 6.48484i | −0.244488 | − | 0.211850i | 0.523993 | − | 0.851723i | \(-0.324442\pi\) |
−0.768481 | + | 0.639872i | \(0.778987\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −24.7506 | − | 28.5637i | −0.807706 | − | 0.932142i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −18.1808 | + | 39.8104i | −0.592677 | + | 1.29778i | 0.341134 | + | 0.940015i | \(0.389189\pi\) |
−0.933811 | + | 0.357767i | \(0.883538\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −11.3090 | − | 6.68687i | −0.368270 | − | 0.217754i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 29.2946 | − | 23.3963i | 0.952953 | − | 0.761082i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −40.5533 | + | 35.1397i | −1.31781 | + | 1.14189i | −0.338175 | + | 0.941083i | \(0.609810\pi\) |
−0.979632 | + | 0.200803i | \(0.935645\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.82757 | − | 2.10913i | 0.0593254 | − | 0.0684652i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −26.6746 | + | 7.83237i | −0.864984 | + | 0.253982i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 23.4287 | − | 3.36853i | 0.758929 | − | 0.109117i | 0.248023 | − | 0.968754i | \(-0.420219\pi\) |
0.510906 | + | 0.859637i | \(0.329310\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.416355 | − | 10.3832i | 0.0134729 | − | 0.335992i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 22.6998 | − | 35.3216i | 0.733781 | − | 1.14179i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −2.97677 | + | 20.7039i | −0.0961248 | + | 0.668562i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −19.9178 | + | 12.8004i | −0.642510 | + | 0.412916i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 2.01569 | − | 6.86481i | 0.0649547 | − | 0.221215i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −23.3843 | + | 46.2095i | −0.752769 | + | 1.48754i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.2612i | 0.522924i | 0.965214 | + | 0.261462i | \(0.0842046\pi\) | ||||
−0.965214 | + | 0.261462i | \(0.915795\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 5.98110 | + | 1.75621i | 0.192140 | + | 0.0564175i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 31.6393 | − | 20.3333i | 1.01535 | − | 0.652527i | 0.0765793 | − | 0.997063i | \(-0.475600\pi\) |
0.938773 | + | 0.344536i | \(0.111964\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −31.7214 | − | 4.56084i | −1.01694 | − | 0.146214i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.328216 | + | 5.23247i | 0.0105113 | + | 0.167573i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −25.6816 | + | 11.7284i | −0.821627 | + | 0.375225i | −0.781450 | − | 0.623968i | \(-0.785520\pi\) |
−0.0401773 | + | 0.999193i | \(0.512792\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.47406 | + | 38.0729i | 0.174952 | + | 1.21682i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 9.62491 | − | 2.82613i | 0.307300 | − | 0.0902313i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −4.31306 | − | 3.73729i | −0.137565 | − | 0.119201i | 0.583360 | − | 0.812213i | \(-0.301738\pi\) |
−0.720925 | + | 0.693013i | \(0.756283\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 35.1192 | − | 8.80008i | 1.11899 | − | 0.280394i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −41.1001 | − | 18.7698i | −1.30823 | − | 0.597449i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −37.3152 | + | 6.79056i | −1.18656 | + | 0.215927i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −11.6269 | + | 25.4594i | −0.369342 | + | 0.808745i | 0.630138 | + | 0.776483i | \(0.282998\pi\) |
−0.999479 | + | 0.0322621i | \(0.989729\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 36.0625 | − | 31.2483i | 1.14441 | − | 0.991635i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 31.8061 | − | 13.0117i | 1.00832 | − | 0.412499i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.6252 | − | 39.5918i | −0.368174 | − | 1.25389i | −0.910427 | − | 0.413670i | \(-0.864247\pi\) |
0.542253 | − | 0.840216i | \(-0.317572\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 4.41774 | + | 30.7260i | 0.139771 | + | 0.972129i |
(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 | 460.2.s.a.29.4 | ✓ | 120 | |
5.4 | even | 2 | inner | 460.2.s.a.29.9 | yes | 120 | |
23.4 | even | 11 | inner | 460.2.s.a.349.9 | yes | 120 | |
115.4 | even | 22 | inner | 460.2.s.a.349.4 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.s.a.29.4 | ✓ | 120 | 1.1 | even | 1 | trivial | |
460.2.s.a.29.9 | yes | 120 | 5.4 | even | 2 | inner | |
460.2.s.a.349.4 | yes | 120 | 115.4 | even | 22 | inner | |
460.2.s.a.349.9 | yes | 120 | 23.4 | even | 11 | inner |