Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [656,2,Mod(33,656)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(656, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("656.33");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 656 = 2^{4} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 656.bs (of order \(20\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.23818637260\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 41) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 225.1 | ||
Character | \(\chi\) | \(=\) | 656.225 |
Dual form | 656.2.bs.d.449.1 |
$q$-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 \(\left(\mathbb{Z}/656\mathbb{Z}\right)^\times\).
\(n\) | \(129\) | \(165\) | \(575\) |
\(\chi(n)\) | \(e\left(\frac{17}{20}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.964912 | + | 0.964912i | −0.557092 | + | 0.557092i | −0.928478 | − | 0.371386i | \(-0.878883\pi\) |
0.371386 | + | 0.928478i | \(0.378883\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.03721 | + | 2.80398i | −0.911069 | + | 1.25398i | 0.0557316 | + | 0.998446i | \(0.482251\pi\) |
−0.966800 | + | 0.255533i | \(0.917749\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.29765 | − | 0.661185i | −0.490465 | − | 0.249905i | 0.191224 | − | 0.981546i | \(-0.438754\pi\) |
−0.681689 | + | 0.731642i | \(0.738754\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.13789i | 0.379297i | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.285814 | + | 1.80456i | −0.0861761 | + | 0.544095i | 0.906395 | + | 0.422431i | \(0.138823\pi\) |
−0.992571 | + | 0.121664i | \(0.961177\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.91004 | − | 5.71127i | −0.807099 | − | 1.58402i | −0.811731 | − | 0.584031i | \(-0.801475\pi\) |
0.00463289 | − | 0.999989i | \(-0.498525\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.739865 | − | 4.67132i | −0.191032 | − | 1.20613i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.14295 | + | 0.497794i | 0.762277 | + | 0.120733i | 0.525456 | − | 0.850821i | \(-0.323895\pi\) |
0.236821 | + | 0.971553i | \(0.423895\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.51872 | + | 2.98065i | −0.348417 | + | 0.683808i | −0.997005 | − | 0.0773320i | \(-0.975360\pi\) |
0.648588 | + | 0.761140i | \(0.275360\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.89010 | − | 0.614131i | 0.412454 | − | 0.134014i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.67386 | − | 5.15161i | 0.349024 | − | 1.07419i | −0.610370 | − | 0.792117i | \(-0.708979\pi\) |
0.959394 | − | 0.282069i | \(-0.0910208\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.16699 | − | 6.66932i | −0.433399 | − | 1.33386i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.99270 | − | 3.99270i | −0.768395 | − | 0.768395i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.335113 | + | 0.0530767i | −0.0622289 | + | 0.00985609i | −0.187471 | − | 0.982270i | \(-0.560029\pi\) |
0.125242 | + | 0.992126i | \(0.460029\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.04183 | − | 2.21002i | 0.546329 | − | 0.396931i | −0.280101 | − | 0.959971i | \(-0.590368\pi\) |
0.826430 | + | 0.563039i | \(0.190368\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.46545 | − | 2.01702i | −0.255103 | − | 0.351119i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.49754 | − | 2.29161i | 0.760222 | − | 0.387353i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.993200 | + | 0.721602i | 0.163281 | + | 0.118631i | 0.666425 | − | 0.745572i | \(-0.267824\pi\) |
−0.503144 | + | 0.864202i | \(0.667824\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 8.31880 | + | 2.70294i | 1.33207 | + | 0.432817i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −6.22198 | − | 1.51227i | −0.971710 | − | 0.236176i | ||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.02832 | − | 2.28364i | −1.07181 | − | 0.348252i | −0.280617 | − | 0.959820i | \(-0.590539\pi\) |
−0.791192 | + | 0.611568i | \(0.790539\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.19062 | − | 2.31812i | −0.475630 | − | 0.345565i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.40824 | − | 0.717533i | 0.205413 | − | 0.104663i | −0.348258 | − | 0.937399i | \(-0.613227\pi\) |
0.553671 | + | 0.832736i | \(0.313227\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.86777 | − | 3.94715i | −0.409681 | − | 0.563878i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.51299 | + | 2.55234i | −0.491918 | + | 0.357399i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.12895 | − | 0.178807i | 0.155073 | − | 0.0245611i | −0.0784154 | − | 0.996921i | \(-0.524986\pi\) |
0.233488 | + | 0.972360i | \(0.424986\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.47768 | − | 4.47768i | −0.603771 | − | 0.603771i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.41064 | − | 4.34149i | −0.186843 | − | 0.575045i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.16549 | + | 12.8200i | −0.542300 | + | 1.66903i | 0.185024 | + | 0.982734i | \(0.440764\pi\) |
−0.727324 | + | 0.686294i | \(0.759236\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.39785 | + | 1.42895i | −0.563087 | + | 0.182958i | −0.576710 | − | 0.816949i | \(-0.695664\pi\) |
0.0136225 | + | 0.999907i | \(0.495664\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.752356 | − | 1.47658i | 0.0947880 | − | 0.186032i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 21.9426 | + | 3.47537i | 2.72165 | + | 0.431067i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.04355 | − | 6.58873i | −0.127490 | − | 0.804941i | −0.965713 | − | 0.259613i | \(-0.916405\pi\) |
0.838223 | − | 0.545328i | \(-0.183595\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.35573 | + | 6.58598i | 0.403982 | + | 0.792859i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.29298 | − | 8.16358i | 0.153449 | − | 0.968839i | −0.784011 | − | 0.620746i | \(-0.786830\pi\) |
0.937460 | − | 0.348092i | \(-0.113170\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.99466i | 1.05274i | 0.850254 | + | 0.526372i | \(0.176448\pi\) | ||||
−0.850254 | + | 0.526372i | \(0.823552\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 8.52627 | + | 4.34435i | 0.984529 | + | 0.501642i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.56403 | − | 2.15271i | 0.178238 | − | 0.245324i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.20521 | + | 7.20521i | −0.810649 | + | 0.810649i | −0.984731 | − | 0.174082i | \(-0.944304\pi\) |
0.174082 | + | 0.984731i | \(0.444304\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.29154 | 0.476837 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 7.11449 | 0.780916 | 0.390458 | − | 0.920621i | \(-0.372317\pi\) | ||||
0.390458 | + | 0.920621i | \(0.372317\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.79865 | + | 7.79865i | −0.845883 | + | 0.845883i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.272140 | − | 0.374569i | 0.0291765 | − | 0.0401580i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −12.9260 | − | 6.58613i | −1.37015 | − | 0.698128i | −0.394798 | − | 0.918768i | \(-0.629186\pi\) |
−0.975355 | + | 0.220639i | \(0.929186\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.33529i | 0.978604i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.802625 | + | 5.06757i | −0.0832283 | + | 0.525483i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −5.26374 | − | 10.3307i | −0.540048 | − | 1.05990i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.514313 | + | 3.24724i | 0.0522205 | + | 0.329707i | 0.999944 | + | 0.0106137i | \(0.00337850\pi\) |
−0.947723 | + | 0.319094i | \(0.896621\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.05339 | − | 0.325225i | −0.206373 | − | 0.0326863i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.96889 | − | 5.82677i | 0.295415 | − | 0.579785i | −0.694821 | − | 0.719183i | \(-0.744516\pi\) |
0.990237 | + | 0.139397i | \(0.0445165\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −15.6950 | + | 5.09961i | −1.54647 | + | 0.502479i | −0.953153 | − | 0.302488i | \(-0.902183\pi\) |
−0.593319 | + | 0.804967i | \(0.702183\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.12853 | + | 6.55093i | −0.207723 | + | 0.639305i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 2.13141 | + | 6.55981i | 0.206051 | + | 0.634160i | 0.999669 | + | 0.0257432i | \(0.00819521\pi\) |
−0.793617 | + | 0.608417i | \(0.791805\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.909585 | + | 0.909585i | 0.0871225 | + | 0.0871225i | 0.749325 | − | 0.662202i | \(-0.230378\pi\) |
−0.662202 | + | 0.749325i | \(0.730378\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.65463 | + | 0.262068i | −0.157051 | + | 0.0248744i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.72258 | + | 4.15770i | −0.538335 | + | 0.391123i | −0.823466 | − | 0.567365i | \(-0.807963\pi\) |
0.285131 | + | 0.958489i | \(0.407963\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 11.0350 | + | 15.1884i | 1.02902 | + | 1.41633i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 6.49879 | − | 3.31130i | 0.600814 | − | 0.306130i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −3.74931 | − | 2.72403i | −0.343699 | − | 0.249712i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.28688 | + | 2.36765i | 0.662444 | + | 0.215241i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 7.46287 | − | 4.54446i | 0.672904 | − | 0.409760i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 6.63390 | + | 2.15548i | 0.593354 | + | 0.192792i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.45174 | − | 3.23438i | −0.395028 | − | 0.287005i | 0.372485 | − | 0.928038i | \(-0.378506\pi\) |
−0.767513 | + | 0.641034i | \(0.778506\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 8.98522 | − | 4.57820i | 0.791105 | − | 0.403088i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.78432 | + | 6.58506i | 0.418008 | + | 0.575339i | 0.965149 | − | 0.261702i | \(-0.0842836\pi\) |
−0.547140 | + | 0.837041i | \(0.684284\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.94152 | − | 2.86368i | 0.341773 | − | 0.248313i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 19.3294 | − | 3.06148i | 1.66361 | − | 0.263490i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.0757881 | + | 0.0757881i | 0.00647501 | + | 0.00647501i | 0.710337 | − | 0.703862i | \(-0.248543\pi\) |
−0.703862 | + | 0.710337i | \(0.748543\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.01271 | − | 12.3499i | −0.340354 | − | 1.04750i | −0.964024 | − | 0.265814i | \(-0.914359\pi\) |
0.623670 | − | 0.781688i | \(-0.285641\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.666469 | + | 2.05118i | −0.0561268 | + | 0.172741i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 11.1380 | − | 3.61897i | 0.931409 | − | 0.302633i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.533870 | − | 1.04778i | 0.0443355 | − | 0.0870133i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 6.57579 | + | 1.04150i | 0.542362 | + | 0.0859017i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.0276020 | + | 0.174272i | 0.00226125 | + | 0.0142769i | 0.988793 | − | 0.149292i | \(-0.0476994\pi\) |
−0.986532 | + | 0.163569i | \(0.947699\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.96384 | + | 17.5925i | 0.729467 | + | 1.43166i | 0.895281 | + | 0.445502i | \(0.146975\pi\) |
−0.165814 | + | 0.986157i | \(0.553025\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.566435 | + | 3.57633i | −0.0457935 | + | 0.289129i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 13.0315i | 1.04672i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.16869 | − | 1.61453i | −0.252889 | − | 0.128853i | 0.322951 | − | 0.946416i | \(-0.395325\pi\) |
−0.575840 | + | 0.817562i | \(0.695325\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.916800 | + | 1.26187i | −0.0727069 | + | 0.100073i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −5.57826 | + | 5.57826i | −0.439628 | + | 0.439628i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.06263 | 0.318210 | 0.159105 | − | 0.987262i | \(-0.449139\pi\) | ||||
0.159105 | + | 0.987262i | \(0.449139\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 8.64114 | 0.672712 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −4.42614 | + | 4.42614i | −0.342505 | + | 0.342505i | −0.857308 | − | 0.514803i | \(-0.827865\pi\) |
0.514803 | + | 0.857308i | \(0.327865\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −16.5090 | + | 22.7227i | −1.26993 | + | 1.74790i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.39165 | − | 1.72813i | −0.259366 | − | 0.132154i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.09639i | 0.387472i | 0.981054 | + | 0.193736i | \(0.0620605\pi\) | ||||
−0.981054 | + | 0.193736i | \(0.937940\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.59766 | + | 10.0872i | −0.120772 | + | 0.762523i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −8.35089 | − | 16.3895i | −0.627691 | − | 1.23191i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.40815 | − | 8.89068i | −0.105250 | − | 0.664521i | −0.982749 | − | 0.184943i | \(-0.940790\pi\) |
0.877500 | − | 0.479578i | \(-0.159210\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.7410 | − | 1.85960i | −0.872704 | − | 0.138223i | −0.296012 | − | 0.955184i | \(-0.595657\pi\) |
−0.576692 | + | 0.816961i | \(0.695657\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.86473 | − | 5.62235i | 0.211767 | − | 0.415616i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −4.04672 | + | 1.31486i | −0.297521 | + | 0.0966703i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.79660 | + | 5.52935i | −0.131380 | + | 0.404346i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.54121 | + | 7.82104i | 0.184846 | + | 0.568897i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.4651 | − | 12.4651i | −0.901943 | − | 0.901943i | 0.0936612 | − | 0.995604i | \(-0.470143\pi\) |
−0.995604 | + | 0.0936612i | \(0.970143\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 13.5277 | − | 2.14258i | 0.973749 | − | 0.154227i | 0.350767 | − | 0.936463i | \(-0.385921\pi\) |
0.622982 | + | 0.782236i | \(0.285921\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −24.5261 | + | 17.8193i | −1.75635 | + | 1.27607i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.51439 | + | 3.46077i | 0.179143 | + | 0.246569i | 0.889140 | − | 0.457636i | \(-0.151304\pi\) |
−0.709997 | + | 0.704205i | \(0.751304\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.37859 | + | 1.72148i | −0.239502 | + | 0.122032i | −0.569623 | − | 0.821906i | \(-0.692911\pi\) |
0.330120 | + | 0.943939i | \(0.392911\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 7.36448 | + | 5.35061i | 0.519450 | + | 0.377403i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.469952 | + | 0.152697i | 0.0329842 | + | 0.0107172i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 16.9159 | − | 14.3655i | 1.18145 | − | 1.00333i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.86197 | + | 1.90467i | 0.407435 | + | 0.132384i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.94468 | − | 3.59252i | −0.342031 | − | 0.248500i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.22845 | + | 0.625927i | −0.0845701 | + | 0.0430906i | −0.495764 | − | 0.868457i | \(-0.665112\pi\) |
0.411194 | + | 0.911548i | \(0.365112\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 6.62952 | + | 9.12475i | 0.454247 | + | 0.625218i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 20.7215 | − | 15.0550i | 1.41319 | − | 1.02674i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.40846 | + | 0.856616i | −0.367150 | + | 0.0581509i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −8.67905 | − | 8.67905i | −0.586476 | − | 0.586476i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.30305 | − | 19.3988i | −0.423989 | − | 1.30490i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.544037 | − | 1.67437i | 0.0364314 | − | 0.112124i | −0.931187 | − | 0.364542i | \(-0.881226\pi\) |
0.967618 | + | 0.252417i | \(0.0812256\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 7.58896 | − | 2.46580i | 0.505931 | − | 0.164387i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.0104794 | + | 0.0205670i | −0.000695544 | + | 0.00136508i | −0.891354 | − | 0.453308i | \(-0.850244\pi\) |
0.890658 | + | 0.454673i | \(0.150244\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −23.8647 | − | 3.77980i | −1.57703 | − | 0.249776i | −0.694308 | − | 0.719678i | \(-0.744289\pi\) |
−0.882719 | + | 0.469902i | \(0.844289\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.568018 | + | 3.58633i | 0.0373729 | + | 0.235963i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 8.63167 | + | 16.9406i | 0.565480 | + | 1.10982i | 0.979855 | + | 0.199710i | \(0.0640001\pi\) |
−0.414375 | + | 0.910106i | \(0.636000\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.856929 | + | 5.41044i | −0.0558999 | + | 0.352938i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 13.9048i | − | 0.903213i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.9440 | − | 8.12387i | −1.03133 | − | 0.525490i | −0.145433 | − | 0.989368i | \(-0.546457\pi\) |
−0.885899 | + | 0.463878i | \(0.846457\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.38611 | + | 4.66058i | −0.218118 | + | 0.300214i | −0.904029 | − | 0.427472i | \(-0.859404\pi\) |
0.685910 | + | 0.727686i | \(0.259404\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.83714 | − | 7.83714i | 0.502753 | − | 0.502753i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 16.9100 | 1.08034 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 21.4428 | 1.36437 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −6.86485 | + | 6.86485i | −0.435042 | + | 0.435042i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −14.5918 | + | 20.0839i | −0.921025 | + | 1.26768i | 0.0422335 | + | 0.999108i | \(0.486553\pi\) |
−0.963259 | + | 0.268575i | \(0.913447\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.81797 | + | 4.49298i | 0.554381 | + | 0.282471i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | − | 15.0500i | − | 0.942469i | ||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.77211 | − | 11.1887i | 0.110541 | − | 0.697931i | −0.868716 | − | 0.495311i | \(-0.835054\pi\) |
0.979257 | − | 0.202620i | \(-0.0649457\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.811713 | − | 1.59308i | −0.0504374 | − | 0.0989889i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.0603954 | − | 0.381322i | −0.00373838 | − | 0.0236032i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 5.50072 | + | 0.871229i | 0.339189 | + | 0.0537223i | 0.323706 | − | 0.946158i | \(-0.395071\pi\) |
0.0154834 | + | 0.999880i | \(0.495071\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.79853 | + | 3.52981i | −0.110483 | + | 0.216835i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 18.8275 | − | 6.11742i | 1.15222 | − | 0.374380i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.20004 | − | 6.77102i | 0.134139 | − | 0.412836i | −0.861316 | − | 0.508069i | \(-0.830360\pi\) |
0.995455 | + | 0.0952327i | \(0.0303595\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.59561 | − | 14.1438i | −0.279164 | − | 0.859177i | −0.988088 | − | 0.153892i | \(-0.950819\pi\) |
0.708924 | − | 0.705285i | \(-0.249181\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −9.00773 | − | 9.00773i | −0.545173 | − | 0.545173i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 12.6545 | − | 2.00428i | 0.763097 | − | 0.120863i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.93372 | + | 5.03764i | −0.416607 | + | 0.302683i | −0.776271 | − | 0.630399i | \(-0.782891\pi\) |
0.359664 | + | 0.933082i | \(0.382891\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.51476 | + | 3.46127i | 0.150555 | + | 0.207221i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.9370 | − | 5.57269i | 0.652448 | − | 0.332439i | −0.0962434 | − | 0.995358i | \(-0.530683\pi\) |
0.748691 | + | 0.662919i | \(0.230683\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −17.0898 | − | 12.4165i | −1.01588 | − | 0.738083i | −0.0504491 | − | 0.998727i | \(-0.516065\pi\) |
−0.965435 | + | 0.260644i | \(0.916065\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 15.0472 | + | 4.88914i | 0.891321 | + | 0.289608i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.07406 | + | 6.07627i | 0.417569 | + | 0.358671i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.53764 | − | 2.12421i | −0.384567 | − | 0.124953i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.62957 | − | 2.63704i | −0.212769 | − | 0.154586i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −23.6770 | + | 12.0640i | −1.38323 | + | 0.704789i | −0.977839 | − | 0.209356i | \(-0.932863\pi\) |
−0.405387 | + | 0.914145i | \(0.632863\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −27.4612 | − | 37.7971i | −1.59885 | − | 2.20063i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 8.34623 | − | 6.06389i | 0.484297 | − | 0.351862i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −34.2932 | + | 5.43151i | −1.98323 | + | 0.314113i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.61039 | + | 7.61039i | 0.438655 | + | 0.438655i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2.75760 | + | 8.48703i | 0.158420 | + | 0.487567i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 4.95261 | − | 15.2426i | 0.283586 | − | 0.872787i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −6.65182 | + | 2.16131i | −0.379639 | + | 0.123352i | −0.492619 | − | 0.870245i | \(-0.663960\pi\) |
0.112980 | + | 0.993597i | \(0.463960\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.2236 | − | 20.0649i | 0.581600 | − | 1.14145i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.25192 | + | 0.515053i | 0.184399 | + | 0.0292060i | 0.247951 | − | 0.968773i | \(-0.420243\pi\) |
−0.0635517 | + | 0.997979i | \(0.520243\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.77802 | − | 11.2260i | −0.100499 | − | 0.634528i | −0.985595 | − | 0.169120i | \(-0.945907\pi\) |
0.885096 | − | 0.465408i | \(-0.154093\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.60760 | + | 5.11770i | 0.146922 | + | 0.288350i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.29092 | − | 27.0918i | 0.241002 | − | 1.52163i | −0.509334 | − | 0.860569i | \(-0.670108\pi\) |
0.750336 | − | 0.661057i | \(-0.229892\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 0.619901i | − | 0.0347078i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −8.38626 | − | 4.27301i | −0.468075 | − | 0.238496i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −6.25700 | + | 8.61202i | −0.348149 | + | 0.479185i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −31.7843 | + | 31.7843i | −1.76307 | + | 1.76307i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −1.75534 | −0.0970705 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.30182 | −0.126903 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.6130 | − | 10.6130i | 0.583344 | − | 0.583344i | −0.352477 | − | 0.935821i | \(-0.614660\pi\) |
0.935821 | + | 0.352477i | \(0.114660\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.821104 | + | 1.13015i | −0.0449962 | + | 0.0619320i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 20.6006 | + | 10.4965i | 1.12553 | + | 0.573487i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 11.4038i | − | 0.621207i | −0.950540 | − | 0.310603i | \(-0.899469\pi\) | ||
0.950540 | − | 0.310603i | \(-0.100531\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.50997 | − | 9.53360i | 0.0820105 | − | 0.517794i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.11871 | + | 6.12082i | 0.168888 | + | 0.331461i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.70637 | + | 17.0873i | 0.146130 | + | 0.922629i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −25.3033 | − | 4.00765i | −1.36228 | − | 0.215765i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 15.1544 | − | 29.7422i | 0.813531 | − | 1.59665i | 0.0110717 | − | 0.999939i | \(-0.496476\pi\) |
0.802460 | − | 0.596706i | \(-0.203524\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.88104 | + | 1.58595i | −0.261276 | + | 0.0848938i | −0.436726 | − | 0.899595i | \(-0.643862\pi\) |
0.175450 | + | 0.984488i | \(0.443862\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −11.1845 | + | 34.4223i | −0.596983 | + | 1.83732i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.91928 | + | 24.3730i | 0.421501 | + | 1.29725i | 0.906305 | + | 0.422624i | \(0.138891\pi\) |
−0.484804 | + | 0.874623i | \(0.661109\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 20.2564 | + | 20.2564i | 1.07510 | + | 1.07510i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 6.24620 | − | 0.989301i | 0.330584 | − | 0.0523594i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.10482 | − | 0.802698i | 0.0583101 | − | 0.0423648i | −0.558248 | − | 0.829674i | \(-0.688526\pi\) |
0.616559 | + | 0.787309i | \(0.288526\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.59015 | + | 6.31780i | 0.241587 | + | 0.332516i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −9.31577 | + | 4.74662i | −0.488951 | + | 0.249133i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −25.2208 | − | 18.3240i | −1.32012 | − | 0.959123i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.38455 | − | 2.72431i | −0.437670 | − | 0.142208i | 0.0818904 | − | 0.996641i | \(-0.473904\pi\) |
−0.519560 | + | 0.854434i | \(0.673904\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.72079 | − | 7.07993i | 0.0895808 | − | 0.368567i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.58320 | − | 0.514413i | −0.0821956 | − | 0.0267070i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.1261 | − | 9.53664i | −0.679641 | − | 0.493788i | 0.193597 | − | 0.981081i | \(-0.437984\pi\) |
−0.873239 | + | 0.487293i | \(0.837984\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −8.48098 | + | 4.32128i | −0.437956 | + | 0.223150i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.27833 | + | 1.75946i | 0.0658371 | + | 0.0906170i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.20110 | − | 6.68499i | 0.472629 | − | 0.343385i | −0.325836 | − | 0.945426i | \(-0.605646\pi\) |
0.798465 | + | 0.602041i | \(0.205646\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.41643 | − | 1.17465i | 0.379955 | − | 0.0601790i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −3.21049 | − | 3.21049i | −0.164048 | − | 0.164048i | 0.620309 | − | 0.784357i | \(-0.287007\pi\) |
−0.784357 | + | 0.620309i | \(0.787007\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.84988 | + | 8.77104i | 0.145243 | + | 0.447014i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.59853 | − | 7.99746i | 0.132091 | − | 0.406534i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −24.2065 | + | 7.86516i | −1.22732 | + | 0.398780i | −0.849742 | − | 0.527199i | \(-0.823242\pi\) |
−0.377576 | + | 0.925979i | \(0.623242\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.82530 | − | 15.3580i | 0.395742 | − | 0.776688i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −10.9705 | − | 1.73755i | −0.553386 | − | 0.0876478i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −5.52473 | − | 34.8818i | −0.277980 | − | 1.75509i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.4510 | + | 20.5112i | 0.524519 | + | 1.02943i | 0.989558 | + | 0.144136i | \(0.0460402\pi\) |
−0.465039 | + | 0.885290i | \(0.653960\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.04002 | + | 6.56642i | −0.0520661 | + | 0.328732i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 21.8245i | − | 1.08986i | −0.838481 | − | 0.544931i | \(-0.816556\pi\) | ||
0.838481 | − | 0.544931i | \(-0.183444\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −21.4739 | − | 10.9415i | −1.06969 | − | 0.545034i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −8.74277 | + | 12.0334i | −0.434432 | + | 0.597944i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.58604 | + | 1.58604i | −0.0786173 | + | 0.0786173i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.45570 | −0.170874 | −0.0854368 | − | 0.996344i | \(-0.527229\pi\) | ||||
−0.0854368 | + | 0.996344i | \(0.527229\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.146258 | −0.00721436 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 13.8818 | − | 13.8818i | 0.683077 | − | 0.683077i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.4937 | + | 19.9489i | −0.711468 | + | 0.979252i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 15.7884 | + | 8.04462i | 0.773164 | + | 0.393947i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 18.7536i | 0.916172i | 0.888908 | + | 0.458086i | \(0.151465\pi\) | ||||
−0.888908 | + | 0.458086i | \(0.848535\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.976054 | + | 6.16256i | −0.0475699 | + | 0.300345i | −0.999990 | − | 0.00444331i | \(-0.998586\pi\) |
0.952420 | + | 0.304788i | \(0.0985856\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.816474 | + | 1.60242i | 0.0396983 | + | 0.0779123i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.49080 | − | 22.0401i | −0.169329 | − | 1.06910i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.65167 | + | 1.05352i | 0.321897 | + | 0.0509834i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −7.25524 | + | 14.2392i | −0.350286 | + | 0.687476i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −6.05658 | + | 1.96790i | −0.291735 | + | 0.0947906i | −0.451228 | − | 0.892408i | \(-0.649014\pi\) |
0.159493 | + | 0.987199i | \(0.449014\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.625179 | + | 1.92410i | −0.0300442 | + | 0.0924664i | −0.964954 | − | 0.262418i | \(-0.915480\pi\) |
0.934910 | + | 0.354885i | \(0.115480\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.495877 | + | 1.52615i | 0.0237755 | + | 0.0731734i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 12.8130 | + | 12.8130i | 0.612931 | + | 0.612931i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −21.7512 | + | 3.44505i | −1.03813 | + | 0.164423i | −0.652154 | − | 0.758086i | \(-0.726135\pi\) |
−0.385974 | + | 0.922510i | \(0.626135\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.49142 | − | 3.26321i | 0.213877 | − | 0.155391i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 9.35155 | + | 12.8713i | 0.444305 | + | 0.611534i | 0.971162 | − | 0.238420i | \(-0.0766296\pi\) |
−0.526857 | + | 0.849954i | \(0.676630\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 44.8004 | − | 22.8269i | 2.12374 | − | 1.08210i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.194791 | − | 0.141524i | −0.00921330 | − | 0.00669385i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 21.4180 | + | 6.95914i | 1.01078 | + | 0.328422i | 0.767165 | − | 0.641450i | \(-0.221667\pi\) |
0.243615 | + | 0.969872i | \(0.421667\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.50730 | − | 10.7957i | 0.212240 | − | 0.508350i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −25.6246 | − | 8.32592i | −1.20395 | − | 0.391186i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −26.1760 | − | 19.0180i | −1.22715 | − | 0.891576i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.27733 | − | 1.66988i | 0.153307 | − | 0.0781138i | −0.375654 | − | 0.926760i | \(-0.622582\pi\) |
0.528961 | + | 0.848646i | \(0.322582\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −10.5613 | − | 14.5364i | −0.492959 | − | 0.678500i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.11530 | + | 2.26340i | −0.145094 | + | 0.105417i | −0.657964 | − | 0.753049i | \(-0.728582\pi\) |
0.512870 | + | 0.858466i | \(0.328582\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 31.3684 | − | 4.96826i | 1.45781 | − | 0.230895i | 0.623342 | − | 0.781949i | \(-0.285774\pi\) |
0.834469 | + | 0.551054i | \(0.185774\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −12.5743 | − | 12.5743i | −0.583118 | − | 0.583118i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −9.68505 | − | 29.8075i | −0.448171 | − | 1.37933i | −0.878969 | − | 0.476879i | \(-0.841768\pi\) |
0.430798 | − | 0.902448i | \(-0.358232\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.00221 | + | 9.23984i | −0.138629 | + | 0.426656i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 4.61539 | − | 1.49963i | 0.212666 | − | 0.0690993i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 6.12975 | − | 12.0303i | 0.281846 | − | 0.553155i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 23.1700 | + | 3.66976i | 1.06311 | + | 0.168380i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.203463 | + | 1.28462i | 0.00931594 | + | 0.0588185i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 18.7953 | + | 36.8879i | 0.858780 | + | 1.68545i | 0.718711 | + | 0.695309i | \(0.244732\pi\) |
0.140069 | + | 0.990142i | \(0.455268\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.23101 | − | 7.77232i | 0.0561294 | − | 0.354387i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | − | 10.7650i | − | 0.489827i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −10.1530 | − | 5.17320i | −0.461023 | − | 0.234903i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −19.1905 | + | 26.4134i | −0.869602 | + | 1.19691i | 0.109591 | + | 0.993977i | \(0.465046\pi\) |
−0.979194 | + | 0.202928i | \(0.934954\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −3.92008 | + | 3.92008i | −0.177272 | + | 0.177272i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 40.3633 | 1.82157 | 0.910786 | − | 0.412880i | \(-0.135477\pi\) | ||||
0.910786 | + | 0.412880i | \(0.135477\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.07966 | −0.0486256 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 5.09511 | − | 5.09511i | 0.229008 | − | 0.229008i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −7.07548 | + | 9.73856i | −0.317379 | + | 0.436834i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.86612 | + | 5.02704i | 0.441668 | + | 0.225041i | 0.660660 | − | 0.750686i | \(-0.270277\pi\) |
−0.218992 | + | 0.975727i | \(0.570277\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | − | 8.54167i | − | 0.381613i | ||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −5.39469 | + | 34.0608i | −0.240538 | + | 1.51869i | 0.511333 | + | 0.859383i | \(0.329152\pi\) |
−0.751870 | + | 0.659311i | \(0.770848\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.2899 | + | 20.1951i | 0.457895 | + | 0.898669i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −5.99568 | − | 37.8552i | −0.266277 | − | 1.68121i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 20.1967 | + | 3.19884i | 0.895202 | + | 0.141786i | 0.587050 | − | 0.809551i | \(-0.300289\pi\) |
0.308152 | + | 0.951337i | \(0.400289\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.94713 | − | 11.6719i | 0.263086 | − | 0.516335i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 17.9646 | − | 5.83706i | 0.793157 | − | 0.257712i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 17.6748 | − | 54.3974i | 0.778844 | − | 2.39704i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.892336 | + | 2.74633i | 0.0392449 | + | 0.120783i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −4.91757 | − | 4.91757i | −0.215857 | − | 0.215857i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 27.5874 | − | 4.36942i | 1.20863 | − | 0.191428i | 0.480577 | − | 0.876952i | \(-0.340427\pi\) |
0.728050 | + | 0.685525i | \(0.240427\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −29.2671 | + | 21.2638i | −1.27976 | + | 0.929800i | −0.999546 | − | 0.0301373i | \(-0.990406\pi\) |
−0.280214 | + | 0.959937i | \(0.590406\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −8.19168 | − | 11.2749i | −0.357514 | − | 0.492076i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 10.6605 | − | 5.43177i | 0.464377 | − | 0.236612i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.12993 | − | 3.72711i | −0.223040 | − | 0.162048i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −14.5878 | − | 4.73987i | −0.633057 | − | 0.205693i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 9.46924 | + | 39.9361i | 0.410158 | + | 1.72983i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −22.7357 | − | 7.38728i | −0.982950 | − | 0.319380i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 9.93746 | + | 7.21999i | 0.428833 | + | 0.311565i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 7.94250 | − | 4.04691i | 0.342108 | − | 0.174313i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −20.5933 | − | 28.3442i | −0.885374 | − | 1.21861i | −0.974903 | − | 0.222628i | \(-0.928536\pi\) |
0.0895294 | − | 0.995984i | \(-0.471464\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 13.1234 | − | 9.53472i | 0.563180 | − | 0.409174i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −4.40348 | + | 0.697442i | −0.188624 | + | 0.0298751i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.29596 | + | 9.29596i | 0.397467 | + | 0.397467i | 0.877339 | − | 0.479872i | \(-0.159317\pi\) |
−0.479872 | + | 0.877339i | \(0.659317\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.62599 | − | 5.00427i | −0.0693954 | − | 0.213577i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.350739 | − | 1.07946i | 0.0149420 | − | 0.0459866i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 14.1138 | − | 4.58585i | 0.600180 | − | 0.195010i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.63600 | − | 5.17345i | 0.111892 | − | 0.219601i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 28.1382 | + | 4.45665i | 1.19225 | + | 0.188834i | 0.720855 | − | 0.693086i | \(-0.243749\pi\) |
0.471399 | + | 0.881920i | \(0.343749\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.41019 | + | 46.7861i | 0.313418 | + | 1.97884i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.60178 | − | 7.06890i | −0.152067 | − | 0.298449i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.11661 | + | 13.3638i | −0.0892046 | + | 0.563216i | 0.902089 | + | 0.431549i | \(0.142033\pi\) |
−0.991294 | + | 0.131667i | \(0.957967\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 24.5161i | − | 1.03140i | ||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −5.56891 | − | 2.83750i | −0.233872 | − | 0.119164i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −26.6643 | + | 36.7002i | −1.11782 | + | 1.53855i | −0.308467 | + | 0.951235i | \(0.599816\pi\) |
−0.809357 | + | 0.587317i | \(0.800184\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.62367 | − | 1.62367i | 0.0679486 | − | 0.0679486i | −0.672316 | − | 0.740264i | \(-0.734700\pi\) |
0.740264 | + | 0.672316i | \(0.234700\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 24.0554 | 1.00493 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −37.9850 | −1.58409 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −4.24210 | + | 4.24210i | −0.176601 | + | 0.176601i | −0.789872 | − | 0.613271i | \(-0.789853\pi\) |
0.613271 | + | 0.789872i | \(0.289853\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −10.9857 | + | 15.1205i | −0.456549 | + | 0.628386i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.23210 | − | 4.70399i | −0.383012 | − | 0.195154i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.08835i | 0.0864908i | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.95459 | + | 24.9683i | −0.163502 | + | 1.03231i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 16.5667 | + | 32.5140i | 0.683780 | + | 1.34199i | 0.928111 | + | 0.372303i | \(0.121432\pi\) |
−0.244331 | + | 0.969692i | \(0.578568\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.96761 | + | 12.4230i | 0.0810741 | + | 0.511882i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.76550 | − | 0.913166i | −0.237161 | − | 0.0375626i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −0.226552 | + | 0.444634i | −0.00930339 | + | 0.0182589i | −0.895611 | − | 0.444837i | \(-0.853262\pi\) |
0.886308 | + | 0.463096i | \(0.153262\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 15.2763 | − | 4.96356i | 0.626266 | − | 0.203486i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1.59897 | − | 4.92112i | 0.0654414 | − | 0.201408i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 7.58173 | + | 23.3342i | 0.309781 | + | 0.953409i | 0.977850 | + | 0.209309i | \(0.0671214\pi\) |
−0.668068 | + | 0.744100i | \(0.732879\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.35213 | + | 5.35213i | 0.218318 | + | 0.218318i | 0.807789 | − | 0.589471i | \(-0.200664\pi\) |
−0.589471 | + | 0.807789i | \(0.700664\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7.49725 | − | 1.18745i | 0.305312 | − | 0.0483566i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −21.4838 | + | 15.6089i | −0.873440 | + | 0.634591i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −21.2236 | − | 29.2118i | −0.861440 | − | 1.18567i | −0.981224 | − | 0.192870i | \(-0.938220\pi\) |
0.119785 | − | 0.992800i | \(-0.461780\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.600802 | + | 0.306124i | −0.0243457 | + | 0.0124048i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −8.19604 | − | 5.95477i | −0.331576 | − | 0.240904i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −30.2951 | − | 9.84349i | −1.22361 | − | 0.397575i | −0.375214 | − | 0.926938i | \(-0.622431\pi\) |
−0.848395 | + | 0.529364i | \(0.822431\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.46085 | + | 30.1838i | −0.0992312 | + | 1.21713i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 18.2794 | + | 5.93935i | 0.735903 | + | 0.239109i | 0.652904 | − | 0.757440i | \(-0.273550\pi\) |
0.0829983 | + | 0.996550i | \(0.473550\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 31.0258 | + | 22.5415i | 1.24703 | + | 0.906021i | 0.998046 | − | 0.0624862i | \(-0.0199029\pi\) |
0.248985 | + | 0.968507i | \(0.419903\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −27.2521 | + | 13.8856i | −1.09359 | + | 0.557211i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 12.4188 | + | 17.0930i | 0.497547 | + | 0.684815i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.80773 | − | 6.39919i | 0.352309 | − | 0.255968i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 8.23765 | − | 1.30472i | 0.328980 | − | 0.0521053i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 2.76237 | + | 2.76237i | 0.110143 | + | 0.110143i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.7225 | + | 36.0782i | 0.466666 | + | 1.43625i | 0.856875 | + | 0.515525i | \(0.172403\pi\) |
−0.390208 | + | 0.920727i | \(0.627597\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.581383 | − | 1.78931i | 0.0231079 | − | 0.0711188i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 18.1383 | − | 5.89349i | 0.719796 | − | 0.233876i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −14.1979 | + | 27.8649i | −0.562541 | + | 1.10405i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 9.28926 | + | 1.47127i | 0.367477 | + | 0.0582027i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.45397 | + | 28.1213i | 0.175921 | + | 1.11072i | 0.904723 | + | 0.426000i | \(0.140077\pi\) |
−0.728802 | + | 0.684725i | \(0.759923\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −14.8198 | − | 29.0856i | −0.584437 | − | 1.14702i | −0.974111 | − | 0.226070i | \(-0.927412\pi\) |
0.389674 | − | 0.920953i | \(-0.372588\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −5.46762 | + | 34.5212i | −0.215287 | + | 1.35927i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 35.7053i | 1.40372i | 0.712315 | + | 0.701860i | \(0.247647\pi\) | ||||
−0.712315 | + | 0.701860i | \(0.752353\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −21.9440 | − | 11.1810i | −0.861376 | − | 0.438893i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4.39213 | − | 6.04525i | 0.172141 | − | 0.236932i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 13.7761 | − | 13.7761i | 0.539102 | − | 0.539102i | −0.384163 | − | 0.923265i | \(-0.625510\pi\) |
0.923265 | + | 0.384163i | \(0.125510\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −28.2111 | −1.10230 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −10.2349 | −0.399303 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −10.7415 | + | 10.7415i | −0.418431 | + | 0.418431i | −0.884663 | − | 0.466231i | \(-0.845611\pi\) |
0.466231 | + | 0.884663i | \(0.345611\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.05918 | + | 8.33975i | −0.235675 | + | 0.324379i | −0.910430 | − | 0.413663i | \(-0.864249\pi\) |
0.674755 | + | 0.738042i | \(0.264249\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 24.8000 | + | 12.6362i | 0.963153 | + | 0.490751i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 16.8859i | 0.654806i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.287502 | + | 1.81522i | −0.0111321 | + | 0.0702854i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 1.09068 | + | 2.14057i | 0.0421680 | + | 0.0827593i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.32165 | − | 8.34459i | −0.0510219 | − | 0.322139i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −22.8825 | − | 3.62423i | −0.882055 | − | 0.139704i | −0.301054 | − | 0.953607i | \(-0.597339\pi\) |
−0.581001 | + | 0.813903i | \(0.697339\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −17.9764 | + | 35.2808i | −0.691914 | + | 1.35796i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 10.7253 | − | 3.48486i | 0.412206 | − | 0.133934i | −0.0955705 | − | 0.995423i | \(-0.530468\pi\) |
0.507777 | + | 0.861489i | \(0.330468\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.47963 | − | 4.55384i | 0.0567830 | − | 0.174760i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.00973365 | − | 0.0299571i | −0.000372994 | − | 0.00114796i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 6.92268 | + | 6.92268i | 0.264889 | + | 0.264889i | 0.827037 | − | 0.562148i | \(-0.190025\pi\) |
−0.562148 | + | 0.827037i | \(0.690025\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.366905 | + | 0.0581120i | −0.0140187 | + | 0.00222035i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 26.6745 | − | 19.3802i | 1.01770 | − | 0.739401i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −4.30649 | − | 5.92737i | −0.164064 | − | 0.225815i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 32.0987 | − | 16.3551i | 1.22109 | − | 0.622178i | 0.279895 | − | 0.960031i | \(-0.409700\pi\) |
0.941199 | + | 0.337852i | \(0.109700\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.44954 | + | 1.77970i | 0.0930505 | + | 0.0676051i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 42.8035 | + | 13.9077i | 1.62363 | + | 0.527550i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −18.8026 | − | 7.85023i | −0.712198 | − | 0.297349i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −24.6750 | − | 8.01739i | −0.933294 | − | 0.303246i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 41.7632 | + | 30.3427i | 1.57737 | + | 1.14603i | 0.919630 | + | 0.392787i | \(0.128489\pi\) |
0.657744 | + | 0.753242i | \(0.271511\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.65923 | + | 1.86447i | −0.138011 | + | 0.0703199i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.39374 | − | 6.04746i | −0.165478 | − | 0.227760i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −7.70515 | + | 5.59812i | −0.289782 | + | 0.210539i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 48.3157 | − | 7.65246i | 1.81453 | − | 0.287394i | 0.845438 | − | 0.534074i | \(-0.179340\pi\) |
0.969097 | + | 0.246680i | \(0.0793395\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.19874 | − | 8.19874i | −0.307477 | − | 0.307477i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −6.29357 | − | 19.3696i | −0.235696 | − | 0.725398i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −12.5430 | + | 38.6035i | −0.469082 | + | 1.44369i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 23.2234 | − | 7.54573i | 0.867293 | − | 0.281801i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −9.42790 | + | 18.5033i | −0.351601 | + | 0.690056i | −0.997292 | − | 0.0735426i | \(-0.976570\pi\) |
0.645691 | + | 0.763599i | \(0.276570\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 23.7384 | + | 3.75979i | 0.884063 | + | 0.140022i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −1.22975 | − | 7.76435i | −0.0457350 | − | 0.288759i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.08017 | + | 2.11996i | 0.0401166 | + | 0.0787333i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.24680 | − | 14.1858i | 0.0833293 | − | 0.526121i | −0.910348 | − | 0.413844i | \(-0.864186\pi\) |
0.993677 | − | 0.112276i | \(-0.0358142\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 27.9989i | 1.03700i | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −20.9529 | − | 10.6760i | −0.774970 | − | 0.394867i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.2196 | − | 19.5717i | 0.525214 | − | 0.722895i | −0.461177 | − | 0.887308i | \(-0.652573\pi\) |
0.986392 | + | 0.164413i | \(0.0525728\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −16.3166 | + | 16.3166i | −0.601848 | + | 0.601848i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 12.1880 | 0.448951 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.683852 | −0.0251559 | −0.0125780 | − | 0.999921i | \(-0.504004\pi\) | ||||
−0.0125780 | + | 0.999921i | \(0.504004\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −20.6904 | + | 20.6904i | −0.760081 | + | 0.760081i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 17.7873 | − | 24.4821i | 0.652553 | − | 0.898162i | −0.346654 | − | 0.937993i | \(-0.612682\pi\) |
0.999206 | + | 0.0398315i | \(0.0126821\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.544888 | − | 0.277634i | −0.0199631 | − | 0.0101717i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 8.09550i | 0.296199i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 1.57142 | − | 9.92158i | 0.0574186 | − | 0.362527i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.69372 | − | 17.0624i | −0.317238 | − | 0.622615i | 0.676234 | − | 0.736687i | \(-0.263611\pi\) |
−0.993473 | + | 0.114072i | \(0.963611\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −5.29938 | − | 33.4590i | −0.193120 | − | 1.21931i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −67.5904 | − | 10.7053i | −2.45986 | − | 0.389604i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.5655 | − | 32.5117i | 0.602085 | − | 1.18166i | −0.365901 | − | 0.930654i | \(-0.619239\pi\) |
0.967986 | − | 0.251005i | \(-0.0807609\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −12.8439 | + | 4.17324i | −0.466204 | + | 0.151479i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.94946 | + | 18.3106i | −0.215668 | + | 0.663758i | 0.783438 | + | 0.621470i | \(0.213464\pi\) |
−0.999106 | + | 0.0422871i | \(0.986536\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.578918 | − | 1.78173i | −0.0209582 | − | 0.0645028i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −8.87401 | − | 8.87401i | −0.320841 | − | 0.320841i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 85.3404 | − | 13.5166i | 3.08146 | − | 0.488056i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −14.1385 | + | 10.2722i | −0.509848 | + | 0.370427i | −0.812766 | − | 0.582590i | \(-0.802039\pi\) |
0.302918 | + | 0.953017i | \(0.402039\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 9.08616 | + | 12.5060i | 0.327230 | + | 0.450394i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −37.4355 | + | 19.0743i | −1.34646 | + | 0.686056i | −0.970618 | − | 0.240627i | \(-0.922647\pi\) |
−0.375843 | + | 0.926683i | \(0.622647\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −21.3310 | − | 15.4979i | −0.766231 | − | 0.556700i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 2.32041 | + | 0.753947i | 0.0832442 | + | 0.0270477i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 13.9570 | − | 16.2488i | 0.500060 | − | 0.582175i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 14.3621 | + | 4.66653i | 0.513916 | + | 0.166982i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.54992 | + | 1.12609i | 0.0553898 | + | 0.0402430i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 10.9824 | − | 5.59582i | 0.391979 | − | 0.199723i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.6296 | − | 17.3831i | −0.450195 | − | 0.619640i | 0.522244 | − | 0.852796i | \(-0.325095\pi\) |
−0.972439 | + | 0.233156i | \(0.925095\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.14837 | + | 4.46705i | −0.218888 | + | 0.159031i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 10.1749 | − | 1.61155i | 0.361778 | − | 0.0573000i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 20.9590 | + | 20.9590i | 0.744276 | + | 0.744276i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −1.67054 | − | 5.14138i | −0.0592478 | − | 0.182346i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 7.95385 | − | 24.4794i | 0.281740 | − | 0.867106i | −0.705617 | − | 0.708593i | \(-0.749330\pi\) |
0.987357 | − | 0.158513i | \(-0.0506699\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.78320 | − | 1.55416i | 0.169217 | − | 0.0549821i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7.49429 | − | 14.7084i | 0.264798 | − | 0.519695i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −16.2314 | − | 2.57080i | −0.572793 | − | 0.0907215i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.27724 | − | 27.0054i | −0.150753 | − | 0.951816i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 4.41059 | + | 8.65628i | 0.155260 | + | 0.304715i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −2.48312 | + | 15.6778i | −0.0873018 | + | 0.551202i | 0.904807 | + | 0.425822i | \(0.140015\pi\) |
−0.992109 | + | 0.125380i | \(0.959985\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 46.8407i | − | 1.64480i | −0.568910 | − | 0.822400i | \(-0.692635\pi\) | ||
0.568910 | − | 0.822400i | \(-0.307365\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 18.0819 | + | 9.21320i | 0.634161 | + | 0.323121i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −8.27644 | + | 11.3915i | −0.289911 | + | 0.399028i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 17.4808 | − | 17.4808i | 0.611574 | − | 0.611574i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −10.6225 | −0.371181 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −4.49527 | −0.156886 | −0.0784431 | − | 0.996919i | \(-0.524995\pi\) | ||||
−0.0784431 | + | 0.996919i | \(0.524995\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 10.4358 | − | 10.4358i | 0.363769 | − | 0.363769i | −0.501429 | − | 0.865199i | \(-0.667192\pi\) |
0.865199 | + | 0.501429i | \(0.167192\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −10.2766 | + | 14.1445i | −0.357784 | + | 0.492447i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −32.6277 | − | 16.6247i | −1.13458 | − | 0.578096i | −0.217205 | − | 0.976126i | \(-0.569694\pi\) |
−0.917372 | + | 0.398030i | \(0.869694\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 24.1722i | 0.839534i | 0.907632 | + | 0.419767i | \(0.137888\pi\) | ||||
−0.907632 | + | 0.419767i | \(0.862112\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1.82955 | − | 11.5513i | 0.0634663 | − | 0.400711i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −7.04838 | − | 13.8332i | −0.244212 | − | 0.479293i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.39383 | − | 21.4278i | −0.117448 | − | 0.741539i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −20.9691 | − | 3.32117i | −0.724797 | − | 0.114797i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 13.7897 | − | 27.0638i | 0.476074 | − | 0.934347i | −0.520674 | − | 0.853756i | \(-0.674319\pi\) |
0.996747 | − | 0.0805911i | \(-0.0256808\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −27.4712 | + | 8.92592i | −0.947281 | + | 0.307790i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −5.17610 | + | 15.9304i | −0.178274 | + | 0.548672i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −30.0817 | − | 92.5821i | −1.03484 | − | 3.18492i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.89036 | − | 7.89036i | −0.271116 | − | 0.271116i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 28.4710 | − | 4.50936i | 0.977121 | − | 0.154761i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 5.37990 | − | 3.90872i | 0.184420 | − | 0.133989i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.247241 | − | 0.340298i | −0.00846537 | − | 0.0116516i | 0.804763 | − | 0.593596i | \(-0.202292\pi\) |
−0.813229 | + | 0.581944i | \(0.802292\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 11.7552 | − | 5.98955i | 0.402018 | − | 0.204838i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −43.6766 | − | 31.7329i | −1.49196 | − | 1.08397i | −0.973449 | − | 0.228906i | \(-0.926485\pi\) |
−0.518514 | − | 0.855069i | \(-0.673515\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 39.5195 | + | 12.8407i | 1.34839 | + | 0.438117i | 0.892149 | − | 0.451741i | \(-0.149197\pi\) |
0.456237 | + | 0.889858i | \(0.349197\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −12.6889 | + | 0.962779i | −0.432437 | + | 0.0328114i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −5.06646 | − | 1.64619i | −0.172464 | − | 0.0560371i | 0.221512 | − | 0.975158i | \(-0.428901\pi\) |
−0.393976 | + | 0.919121i | \(0.628901\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14.2902 | − | 10.3824i | −0.485881 | − | 0.353013i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 8.35792 | − | 4.25857i | 0.283850 | − | 0.144629i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −10.9429 | − | 15.0616i | −0.371211 | − | 0.510929i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −34.5932 | + | 25.1334i | −1.17215 | + | 0.851614i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −3.69501 | + | 0.585231i | −0.125057 | + | 0.0198071i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −7.18330 | − | 7.18330i | −0.242840 | − | 0.242840i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 9.32212 | + | 28.6905i | 0.314786 | + | 0.968811i | 0.975843 | + | 0.218475i | \(0.0701082\pi\) |
−0.661057 | + | 0.750336i | \(0.729892\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 11.2055 | − | 34.4870i | 0.377952 | − | 1.16322i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −11.5811 | + | 3.76294i | −0.390179 | + | 0.126777i | −0.497535 | − | 0.867444i | \(-0.665761\pi\) |
0.107356 | + | 0.994221i | \(0.465761\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.32064 | + | 10.4423i | −0.179054 | + | 0.351413i | −0.963037 | − | 0.269369i | \(-0.913185\pi\) |
0.783983 | + | 0.620782i | \(0.213185\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 62.9685 | + | 9.97323i | 2.11666 | + | 0.335246i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −5.47072 | − | 34.5408i | −0.183689 | − | 1.15976i | −0.891385 | − | 0.453248i | \(-0.850265\pi\) |
0.707696 | − | 0.706517i | \(-0.249735\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.63827 | + | 7.14052i | 0.122024 | + | 0.239485i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.22658 | + | 7.74432i | −0.0410920 | + | 0.259445i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 5.28719i | 0.176929i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 27.7980 | + | 14.1638i | 0.929184 | + | 0.473443i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 27.8490 | − | 38.3309i | 0.929852 | − | 1.27983i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.902057 | + | 0.902057i | −0.0300853 | + | 0.0300853i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.63723 | 0.121174 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −14.6867 | −0.488743 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 29.1333 | − | 29.1333i | 0.968422 | − | 0.968422i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.59498 | − | 7.70083i | 0.185778 | − | 0.255702i | −0.705962 | − | 0.708250i | \(-0.749485\pi\) |
0.891740 | + | 0.452548i | \(0.149485\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 6.63022 | + | 3.37827i | 0.219911 | + | 0.112050i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 36.1439i | 1.19750i | 0.800936 | + | 0.598750i | \(0.204336\pi\) | ||||
−0.800936 | + | 0.598750i | \(0.795664\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.03342 | + | 12.8385i | −0.0672963 | + | 0.424892i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 9.92890 | + | 19.4866i | 0.328239 | + | 0.644206i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −1.85443 | − | 11.7084i | −0.0612387 | − | 0.386646i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −55.4813 | − | 8.78737i | −1.83016 | − | 0.289869i | −0.856208 | − | 0.516631i | \(-0.827186\pi\) |
−0.973950 | + | 0.226763i | \(0.927186\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.33295 | − | 8.50389i | 0.142775 | − | 0.280213i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −50.3870 | + | 16.3717i | −1.65851 | + | 0.538882i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.66034 | − | 8.18769i | 0.0874714 | − | 0.269209i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −5.80279 | − | 17.8592i | −0.190589 | − | 0.586572i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 37.3268 | + | 37.3268i | 1.22465 | + | 1.22465i | 0.965959 | + | 0.258694i | \(0.0832921\pi\) |
0.258694 | + | 0.965959i | \(0.416708\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 16.1204 | − | 2.55322i | 0.528324 | − | 0.0836784i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −3.63480 | + | 2.64083i | −0.118998 | + | 0.0864570i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −11.8442 | − | 16.3021i | −0.387345 | − | 0.533135i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 8.13713 | − | 4.14608i | 0.265829 | − | 0.135446i | −0.315997 | − | 0.948760i | \(-0.602339\pi\) |
0.581825 | + | 0.813314i | \(0.302339\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 12.5477 | + | 9.11642i | 0.409478 | + | 0.297503i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −33.6652 | − | 10.9385i | −1.09745 | − | 0.356584i | −0.296331 | − | 0.955085i | \(-0.595763\pi\) |
−0.801122 | + | 0.598501i | \(0.795763\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −18.2053 | + | 29.5219i | −0.592847 | + | 0.961366i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −27.1070 | − | 8.80760i | −0.881791 | − | 0.286511i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 21.7998 | + | 15.8385i | 0.708399 | + | 0.514682i | 0.882657 | − | 0.470018i | \(-0.155753\pi\) |
−0.174258 | + | 0.984700i | \(0.555753\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 51.3709 | − | 26.1748i | 1.66757 | − | 0.849669i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 22.0008 | + | 30.2815i | 0.713425 | + | 0.981946i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −37.0784 | + | 26.9390i | −1.20109 | + | 0.872640i | −0.994391 | − | 0.105765i | \(-0.966271\pi\) |
−0.206695 | + | 0.978405i | \(0.566271\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 60.3459 | − | 9.55786i | 1.95275 | − | 0.309285i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.598150 | + | 0.598150i | 0.0193354 | + | 0.0193354i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −0.0482364 | − | 0.148456i | −0.00155763 | − | 0.00479390i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.21097 | + | 16.0377i | −0.168096 | + | 0.517346i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −7.46434 | + | 2.42531i | −0.240535 | + | 0.0781545i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −21.5511 | + | 42.2965i | −0.693755 | + | 1.36157i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.8592 | − | 2.03670i | −0.413524 | − | 0.0654957i | −0.0537936 | − | 0.998552i | \(-0.517131\pi\) |
−0.359730 | + | 0.933056i | \(0.617131\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.27239 | − | 14.3473i | −0.0729996 | − | 0.460901i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −14.6907 | − | 28.8321i | −0.471447 | − | 0.925268i | −0.997211 | − | 0.0746367i | \(-0.976220\pi\) |
0.525763 | − | 0.850631i | \(-0.323780\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.95845 | + | 18.6789i | −0.0948437 | + | 0.598819i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | − | 61.3380i | − | 1.96439i | ||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −33.8782 | − | 17.2618i | −1.08386 | − | 0.552254i | −0.181567 | − | 0.983379i | \(-0.558117\pi\) |
−0.902292 | + | 0.431125i | \(0.858117\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 15.5795 | − | 21.4433i | 0.497922 | − | 0.685331i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.03501 | + | 1.03501i | −0.0330453 | + | 0.0330453i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.64592 | 0.0843918 | 0.0421959 | − | 0.999109i | \(-0.486565\pi\) | ||||
0.0421959 | + | 0.999109i | \(0.486565\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −14.8263 | −0.472404 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 2.22105 | − | 2.22105i | 0.0706969 | − | 0.0706969i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −23.5289 | + | 32.3847i | −0.748175 | + | 1.02977i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.06220 | − | 4.10790i | −0.256104 | − | 0.130492i | 0.321225 | − | 0.947003i | \(-0.395905\pi\) |
−0.577330 | + | 0.816511i | \(0.695905\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 20.4812i | 0.649952i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.05591 | − | 12.9805i | 0.0651768 | − | 0.411510i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −17.3045 | − | 33.9621i | −0.548040 | − | 1.07559i | −0.984421 | − | 0.175828i | \(-0.943740\pi\) |
0.436381 | − | 0.899762i | \(-0.356260\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.08441 | − | 6.84669i | −0.0343092 | − | 0.216620i |
(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 | 656.2.bs.d.225.1 | 24 | ||
4.3 | odd | 2 | 41.2.g.a.20.2 | ✓ | 24 | ||
12.11 | even | 2 | 369.2.u.a.307.2 | 24 | |||
41.39 | even | 20 | inner | 656.2.bs.d.449.1 | 24 | ||
164.11 | even | 40 | 1681.2.a.m.1.12 | 24 | |||
164.39 | odd | 20 | 41.2.g.a.39.2 | yes | 24 | ||
164.71 | even | 40 | 1681.2.a.m.1.11 | 24 | |||
492.203 | even | 20 | 369.2.u.a.244.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
41.2.g.a.20.2 | ✓ | 24 | 4.3 | odd | 2 | ||
41.2.g.a.39.2 | yes | 24 | 164.39 | odd | 20 | ||
369.2.u.a.244.2 | 24 | 492.203 | even | 20 | |||
369.2.u.a.307.2 | 24 | 12.11 | even | 2 | |||
656.2.bs.d.225.1 | 24 | 1.1 | even | 1 | trivial | ||
656.2.bs.d.449.1 | 24 | 41.39 | even | 20 | inner | ||
1681.2.a.m.1.11 | 24 | 164.71 | even | 40 | |||
1681.2.a.m.1.12 | 24 | 164.11 | even | 40 |