Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 389.2 | ||
Character | \(\chi\) | \(=\) | 722.389 |
Dual form | 722.2.e.r.245.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | + | 0.984808i | 0.122788 | + | 0.696364i | ||||
\(3\) | 0.338947 | − | 0.284410i | 0.195691 | − | 0.164204i | −0.539677 | − | 0.841872i | \(-0.681454\pi\) |
0.735368 | + | 0.677668i | \(0.237009\pi\) | |||||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | 0.837728 | + | 0.304908i | 0.374643 | + | 0.136359i | 0.522477 | − | 0.852653i | \(-0.325008\pi\) |
−0.147834 | + | 0.989012i | \(0.547230\pi\) | |||||||
\(6\) | 0.338947 | + | 0.284410i | 0.138374 | + | 0.116110i | ||||
\(7\) | −1.26007 | + | 2.18251i | −0.476263 | + | 0.824912i | −0.999630 | − | 0.0271956i | \(-0.991342\pi\) |
0.523367 | + | 0.852107i | \(0.324676\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −0.486949 | + | 2.76162i | −0.162316 | + | 0.920541i | ||||
\(10\) | −0.154806 | + | 0.877948i | −0.0489539 | + | 0.277631i | ||||
\(11\) | −0.975994 | − | 1.69047i | −0.294273 | − | 0.509696i | 0.680542 | − | 0.732709i | \(-0.261744\pi\) |
−0.974816 | + | 0.223012i | \(0.928411\pi\) | |||||||
\(12\) | −0.221232 | + | 0.383185i | −0.0638641 | + | 0.110616i | ||||
\(13\) | 4.94838 | + | 4.15218i | 1.37243 | + | 1.15161i | 0.971918 | + | 0.235318i | \(0.0756132\pi\) |
0.400515 | + | 0.916290i | \(0.368831\pi\) | |||||||
\(14\) | −2.36816 | − | 0.861941i | −0.632918 | − | 0.230363i | ||||
\(15\) | 0.370664 | − | 0.134911i | 0.0957050 | − | 0.0348338i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | −0.594269 | − | 3.37027i | −0.144131 | − | 0.817410i | −0.968060 | − | 0.250717i | \(-0.919334\pi\) |
0.823929 | − | 0.566693i | \(-0.191777\pi\) | |||||||
\(18\) | −2.80423 | −0.660962 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −0.891491 | −0.199344 | ||||||||
\(21\) | 0.193630 | + | 1.09813i | 0.0422536 | + | 0.239632i | ||||
\(22\) | 1.49531 | − | 1.25471i | 0.318801 | − | 0.267506i | ||||
\(23\) | −7.69142 | + | 2.79945i | −1.60377 | + | 0.583725i | −0.980195 | − | 0.198036i | \(-0.936544\pi\) |
−0.623577 | + | 0.781762i | \(0.714321\pi\) | |||||||
\(24\) | −0.415780 | − | 0.151331i | −0.0848707 | − | 0.0308904i | ||||
\(25\) | −3.22140 | − | 2.70308i | −0.644281 | − | 0.540616i | ||||
\(26\) | −3.22982 | + | 5.59422i | −0.633421 | + | 1.09712i | ||||
\(27\) | 1.28408 | + | 2.22409i | 0.247121 | + | 0.428026i | ||||
\(28\) | 0.437619 | − | 2.48186i | 0.0827022 | − | 0.469028i | ||||
\(29\) | −0.795421 | + | 4.51105i | −0.147706 | + | 0.837682i | 0.817449 | + | 0.576001i | \(0.195388\pi\) |
−0.965155 | + | 0.261680i | \(0.915723\pi\) | |||||||
\(30\) | 0.197226 | + | 0.341606i | 0.0360084 | + | 0.0623684i | ||||
\(31\) | −4.39680 | + | 7.61548i | −0.789689 | + | 1.36778i | 0.136468 | + | 0.990644i | \(0.456425\pi\) |
−0.926157 | + | 0.377137i | \(0.876909\pi\) | |||||||
\(32\) | 0.766044 | + | 0.642788i | 0.135419 | + | 0.113630i | ||||
\(33\) | −0.811597 | − | 0.295397i | −0.141281 | − | 0.0514221i | ||||
\(34\) | 3.21587 | − | 1.17048i | 0.551518 | − | 0.200736i | ||||
\(35\) | −1.72106 | + | 1.44414i | −0.290913 | + | 0.244105i | ||||
\(36\) | −0.486949 | − | 2.76162i | −0.0811581 | − | 0.460271i | ||||
\(37\) | 5.97980 | 0.983073 | 0.491536 | − | 0.870857i | \(-0.336436\pi\) | ||||
0.491536 | + | 0.870857i | \(0.336436\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.85816 | 0.457672 | ||||||||
\(40\) | −0.154806 | − | 0.877948i | −0.0244770 | − | 0.138816i | ||||
\(41\) | 2.67298 | − | 2.24289i | 0.417449 | − | 0.350281i | −0.409743 | − | 0.912201i | \(-0.634382\pi\) |
0.827192 | + | 0.561920i | \(0.189937\pi\) | |||||||
\(42\) | −1.04783 | + | 0.381377i | −0.161683 | + | 0.0588478i | ||||
\(43\) | 5.86997 | + | 2.13649i | 0.895162 | + | 0.325812i | 0.748312 | − | 0.663347i | \(-0.230864\pi\) |
0.146849 | + | 0.989159i | \(0.453087\pi\) | |||||||
\(44\) | 1.49531 | + | 1.25471i | 0.225427 | + | 0.189155i | ||||
\(45\) | −1.24997 | + | 2.16501i | −0.186335 | + | 0.322741i | ||||
\(46\) | −4.09252 | − | 7.08845i | −0.603409 | − | 1.04514i | ||||
\(47\) | −1.83196 | + | 10.3895i | −0.267218 | + | 1.51547i | 0.495425 | + | 0.868651i | \(0.335013\pi\) |
−0.762643 | + | 0.646820i | \(0.776099\pi\) | |||||||
\(48\) | 0.0768330 | − | 0.435741i | 0.0110899 | − | 0.0628939i | ||||
\(49\) | 0.324429 | + | 0.561928i | 0.0463471 | + | 0.0802755i | ||||
\(50\) | 2.10262 | − | 3.64185i | 0.297356 | − | 0.515035i | ||||
\(51\) | −1.15996 | − | 0.973325i | −0.162427 | − | 0.136293i | ||||
\(52\) | −6.07009 | − | 2.20933i | −0.841769 | − | 0.306379i | ||||
\(53\) | 3.53586 | − | 1.28695i | 0.485687 | − | 0.176776i | −0.0875582 | − | 0.996159i | \(-0.527906\pi\) |
0.573245 | + | 0.819384i | \(0.305684\pi\) | |||||||
\(54\) | −1.96732 | + | 1.65078i | −0.267719 | + | 0.224643i | ||||
\(55\) | −0.302179 | − | 1.71374i | −0.0407459 | − | 0.231081i | ||||
\(56\) | 2.52015 | 0.336769 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.58064 | −0.601468 | ||||||||
\(59\) | −0.493441 | − | 2.79845i | −0.0642406 | − | 0.364327i | −0.999934 | − | 0.0115116i | \(-0.996336\pi\) |
0.935693 | − | 0.352815i | \(-0.114775\pi\) | |||||||
\(60\) | −0.302168 | + | 0.253549i | −0.0390097 | + | 0.0327331i | ||||
\(61\) | 2.30690 | − | 0.839642i | 0.295368 | − | 0.107505i | −0.190086 | − | 0.981767i | \(-0.560877\pi\) |
0.485454 | + | 0.874262i | \(0.338654\pi\) | |||||||
\(62\) | −8.26329 | − | 3.00759i | −1.04944 | − | 0.381964i | ||||
\(63\) | −5.41368 | − | 4.54262i | −0.682060 | − | 0.572316i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 2.87936 | + | 4.98720i | 0.357141 | + | 0.618586i | ||||
\(66\) | 0.149977 | − | 0.850563i | 0.0184609 | − | 0.104697i | ||||
\(67\) | 0.464094 | − | 2.63201i | 0.0566981 | − | 0.321551i | −0.943246 | − | 0.332094i | \(-0.892245\pi\) |
0.999944 | + | 0.0105431i | \(0.00335603\pi\) | |||||||
\(68\) | 1.71113 | + | 2.96376i | 0.207505 | + | 0.359409i | ||||
\(69\) | −1.81079 | + | 3.13638i | −0.217994 | + | 0.377576i | ||||
\(70\) | −1.72106 | − | 1.44414i | −0.205706 | − | 0.172608i | ||||
\(71\) | 0.0530366 | + | 0.0193038i | 0.00629429 | + | 0.00229093i | 0.345165 | − | 0.938542i | \(-0.387823\pi\) |
−0.338871 | + | 0.940833i | \(0.610045\pi\) | |||||||
\(72\) | 2.63511 | − | 0.959102i | 0.310551 | − | 0.113031i | ||||
\(73\) | −5.33870 | + | 4.47970i | −0.624847 | + | 0.524309i | −0.899323 | − | 0.437285i | \(-0.855940\pi\) |
0.274476 | + | 0.961594i | \(0.411496\pi\) | |||||||
\(74\) | 1.03838 | + | 5.88895i | 0.120709 | + | 0.684577i | ||||
\(75\) | −1.86067 | −0.214851 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.91930 | 0.560606 | ||||||||
\(78\) | 0.496314 | + | 2.81474i | 0.0561965 | + | 0.318706i | ||||
\(79\) | 6.99522 | − | 5.86969i | 0.787024 | − | 0.660392i | −0.157983 | − | 0.987442i | \(-0.550499\pi\) |
0.945007 | + | 0.327050i | \(0.106055\pi\) | |||||||
\(80\) | 0.837728 | − | 0.304908i | 0.0936608 | − | 0.0340898i | ||||
\(81\) | −6.83754 | − | 2.48866i | −0.759727 | − | 0.276518i | ||||
\(82\) | 2.67298 | + | 2.24289i | 0.295181 | + | 0.247686i | ||||
\(83\) | 7.06195 | − | 12.2317i | 0.775150 | − | 1.34260i | −0.159561 | − | 0.987188i | \(-0.551008\pi\) |
0.934710 | − | 0.355411i | \(-0.115659\pi\) | |||||||
\(84\) | −0.557537 | − | 0.965682i | −0.0608322 | − | 0.105364i | ||||
\(85\) | 0.529786 | − | 3.00457i | 0.0574634 | − | 0.325891i | ||||
\(86\) | −1.08473 | + | 6.15179i | −0.116969 | + | 0.663364i | ||||
\(87\) | 1.01338 | + | 1.75523i | 0.108646 | + | 0.188181i | ||||
\(88\) | −0.975994 | + | 1.69047i | −0.104041 | + | 0.180205i | ||||
\(89\) | −1.43077 | − | 1.20056i | −0.151662 | − | 0.127259i | 0.563800 | − | 0.825912i | \(-0.309339\pi\) |
−0.715461 | + | 0.698652i | \(0.753783\pi\) | |||||||
\(90\) | −2.34918 | − | 0.855031i | −0.247625 | − | 0.0901282i | ||||
\(91\) | −15.2975 | + | 5.56784i | −1.60361 | + | 0.583668i | ||||
\(92\) | 6.27010 | − | 5.26124i | 0.653704 | − | 0.548522i | ||||
\(93\) | 0.675639 | + | 3.83174i | 0.0700605 | + | 0.397333i | ||||
\(94\) | −10.5498 | −1.08813 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.442463 | 0.0451587 | ||||||||
\(97\) | −1.35868 | − | 7.70545i | −0.137953 | − | 0.782370i | −0.972758 | − | 0.231824i | \(-0.925531\pi\) |
0.834805 | − | 0.550546i | \(-0.185580\pi\) | |||||||
\(98\) | −0.497055 | + | 0.417079i | −0.0502101 | + | 0.0421313i | ||||
\(99\) | 5.14371 | − | 1.87216i | 0.516962 | − | 0.188159i | ||||
\(100\) | 3.95164 | + | 1.43828i | 0.395164 | + | 0.143828i | ||||
\(101\) | −4.12505 | − | 3.46133i | −0.410458 | − | 0.344415i | 0.414061 | − | 0.910249i | \(-0.364110\pi\) |
−0.824519 | + | 0.565834i | \(0.808554\pi\) | |||||||
\(102\) | 0.757113 | − | 1.31136i | 0.0749653 | − | 0.129844i | ||||
\(103\) | −2.34734 | − | 4.06571i | −0.231290 | − | 0.400606i | 0.726898 | − | 0.686746i | \(-0.240961\pi\) |
−0.958188 | + | 0.286139i | \(0.907628\pi\) | |||||||
\(104\) | 1.12171 | − | 6.36151i | 0.109992 | − | 0.623798i | ||||
\(105\) | −0.172620 | + | 0.978976i | −0.0168460 | + | 0.0955383i | ||||
\(106\) | 1.88139 | + | 3.25866i | 0.182737 | + | 0.316509i | ||||
\(107\) | 8.01864 | − | 13.8887i | 0.775191 | − | 1.34267i | −0.159496 | − | 0.987199i | \(-0.550987\pi\) |
0.934687 | − | 0.355472i | \(-0.115680\pi\) | |||||||
\(108\) | −1.96732 | − | 1.65078i | −0.189306 | − | 0.158846i | ||||
\(109\) | 13.2504 | + | 4.82275i | 1.26916 | + | 0.461936i | 0.886832 | − | 0.462091i | \(-0.152901\pi\) |
0.382327 | + | 0.924027i | \(0.375123\pi\) | |||||||
\(110\) | 1.63524 | − | 0.595177i | 0.155914 | − | 0.0567479i | ||||
\(111\) | 2.02683 | − | 1.70071i | 0.192378 | − | 0.161425i | ||||
\(112\) | 0.437619 | + | 2.48186i | 0.0413511 | + | 0.234514i | ||||
\(113\) | 12.7224 | 1.19682 | 0.598410 | − | 0.801190i | \(-0.295799\pi\) | ||||
0.598410 | + | 0.801190i | \(0.295799\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.29689 | −0.680439 | ||||||||
\(116\) | −0.795421 | − | 4.51105i | −0.0738529 | − | 0.418841i | ||||
\(117\) | −13.8764 | + | 11.6437i | −1.28287 | + | 1.07646i | ||||
\(118\) | 2.67025 | − | 0.971890i | 0.245816 | − | 0.0894697i | ||||
\(119\) | 8.10447 | + | 2.94979i | 0.742936 | + | 0.270406i | ||||
\(120\) | −0.302168 | − | 0.253549i | −0.0275840 | − | 0.0231458i | ||||
\(121\) | 3.59487 | − | 6.22650i | 0.326806 | − | 0.566045i | ||||
\(122\) | 1.22747 | + | 2.12605i | 0.111130 | + | 0.192483i | ||||
\(123\) | 0.268095 | − | 1.52044i | 0.0241733 | − | 0.137094i | ||||
\(124\) | 1.52699 | − | 8.66001i | 0.137128 | − | 0.777692i | ||||
\(125\) | −4.10320 | − | 7.10695i | −0.367001 | − | 0.635665i | ||||
\(126\) | 3.53353 | − | 6.12026i | 0.314792 | − | 0.545236i | ||||
\(127\) | −5.49592 | − | 4.61163i | −0.487684 | − | 0.409216i | 0.365511 | − | 0.930807i | \(-0.380894\pi\) |
−0.853196 | + | 0.521591i | \(0.825339\pi\) | |||||||
\(128\) | −0.939693 | − | 0.342020i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | 2.59725 | − | 0.945320i | 0.228675 | − | 0.0832308i | ||||
\(130\) | −4.41144 | + | 3.70164i | −0.386909 | + | 0.324655i | ||||
\(131\) | −0.611703 | − | 3.46914i | −0.0534447 | − | 0.303100i | 0.946355 | − | 0.323130i | \(-0.104735\pi\) |
−0.999799 | + | 0.0200298i | \(0.993624\pi\) | |||||||
\(132\) | 0.863684 | 0.0751740 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 2.67261 | 0.230878 | ||||||||
\(135\) | 0.397566 | + | 2.25471i | 0.0342170 | + | 0.194054i | ||||
\(136\) | −2.62160 | + | 2.19979i | −0.224801 | + | 0.188630i | ||||
\(137\) | 10.3400 | − | 3.76343i | 0.883402 | − | 0.321532i | 0.139820 | − | 0.990177i | \(-0.455348\pi\) |
0.743582 | + | 0.668645i | \(0.233125\pi\) | |||||||
\(138\) | −3.40317 | − | 1.23865i | −0.289697 | − | 0.105441i | ||||
\(139\) | 16.6681 | + | 13.9862i | 1.41377 | + | 1.18629i | 0.954581 | + | 0.297950i | \(0.0963030\pi\) |
0.459185 | + | 0.888341i | \(0.348141\pi\) | |||||||
\(140\) | 1.12334 | − | 1.94569i | 0.0949400 | − | 0.164441i | ||||
\(141\) | 2.33395 | + | 4.04253i | 0.196554 | + | 0.340442i | ||||
\(142\) | −0.00980077 | + | 0.0555829i | −0.000822462 | + | 0.00466442i | ||||
\(143\) | 2.18956 | − | 12.4176i | 0.183100 | − | 1.03841i | ||||
\(144\) | 1.40211 | + | 2.42853i | 0.116843 | + | 0.202378i | ||||
\(145\) | −2.04180 | + | 3.53651i | −0.169562 | + | 0.293691i | ||||
\(146\) | −5.33870 | − | 4.47970i | −0.441834 | − | 0.370743i | ||||
\(147\) | 0.269782 | + | 0.0981928i | 0.0222513 | + | 0.00809880i | ||||
\(148\) | −5.61917 | + | 2.04521i | −0.461893 | + | 0.168115i | ||||
\(149\) | 11.0231 | − | 9.24944i | 0.903043 | − | 0.757743i | −0.0677394 | − | 0.997703i | \(-0.521579\pi\) |
0.970783 | + | 0.239960i | \(0.0771342\pi\) | |||||||
\(150\) | −0.323101 | − | 1.83240i | −0.0263811 | − | 0.149615i | ||||
\(151\) | −12.4068 | −1.00965 | −0.504824 | − | 0.863222i | \(-0.668443\pi\) | ||||
−0.504824 | + | 0.863222i | \(0.668443\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 9.59679 | 0.775855 | ||||||||
\(154\) | 0.854227 | + | 4.84456i | 0.0688356 | + | 0.390386i | ||||
\(155\) | −6.00535 | + | 5.03908i | −0.482361 | + | 0.404749i | ||||
\(156\) | −2.68579 | + | 0.977548i | −0.215035 | + | 0.0782665i | ||||
\(157\) | 0.424008 | + | 0.154326i | 0.0338395 | + | 0.0123166i | 0.358884 | − | 0.933382i | \(-0.383157\pi\) |
−0.325045 | + | 0.945699i | \(0.605379\pi\) | |||||||
\(158\) | 6.99522 | + | 5.86969i | 0.556510 | + | 0.466967i | ||||
\(159\) | 0.832446 | − | 1.44184i | 0.0660173 | − | 0.114345i | ||||
\(160\) | 0.445746 | + | 0.772054i | 0.0352393 | + | 0.0610362i | ||||
\(161\) | 3.58193 | − | 20.3141i | 0.282295 | − | 1.60098i | ||||
\(162\) | 1.26353 | − | 7.16582i | 0.0992721 | − | 0.563000i | ||||
\(163\) | 0.0346271 | + | 0.0599759i | 0.00271220 | + | 0.00469768i | 0.867378 | − | 0.497649i | \(-0.165803\pi\) |
−0.864666 | + | 0.502347i | \(0.832470\pi\) | |||||||
\(164\) | −1.74466 | + | 3.02184i | −0.136235 | + | 0.235966i | ||||
\(165\) | −0.589829 | − | 0.494925i | −0.0459181 | − | 0.0385299i | ||||
\(166\) | 13.2721 | + | 4.83066i | 1.03012 | + | 0.374932i | ||||
\(167\) | 2.04262 | − | 0.743451i | 0.158062 | − | 0.0575300i | −0.261777 | − | 0.965128i | \(-0.584309\pi\) |
0.419840 | + | 0.907598i | \(0.362086\pi\) | |||||||
\(168\) | 0.854195 | − | 0.716755i | 0.0659026 | − | 0.0552989i | ||||
\(169\) | 4.98840 | + | 28.2906i | 0.383723 | + | 2.17620i | ||||
\(170\) | 3.05092 | 0.233995 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.24669 | −0.476306 | ||||||||
\(173\) | 2.92585 | + | 16.5933i | 0.222448 | + | 1.26157i | 0.867504 | + | 0.497431i | \(0.165723\pi\) |
−0.645056 | + | 0.764136i | \(0.723166\pi\) | |||||||
\(174\) | −1.55259 | + | 1.30278i | −0.117702 | + | 0.0987636i | ||||
\(175\) | 9.95870 | − | 3.62467i | 0.752807 | − | 0.273999i | ||||
\(176\) | −1.83427 | − | 0.667620i | −0.138263 | − | 0.0503237i | ||||
\(177\) | −0.963156 | − | 0.808184i | −0.0723953 | − | 0.0607468i | ||||
\(178\) | 0.933870 | − | 1.61751i | 0.0699965 | − | 0.121238i | ||||
\(179\) | 9.48276 | + | 16.4246i | 0.708775 | + | 1.22763i | 0.965312 | + | 0.261099i | \(0.0840850\pi\) |
−0.256537 | + | 0.966534i | \(0.582582\pi\) | |||||||
\(180\) | 0.434111 | − | 2.46196i | 0.0323567 | − | 0.183504i | ||||
\(181\) | 0.345017 | − | 1.95669i | 0.0256449 | − | 0.145439i | −0.969297 | − | 0.245894i | \(-0.920919\pi\) |
0.994942 | + | 0.100454i | \(0.0320297\pi\) | |||||||
\(182\) | −8.13963 | − | 14.0983i | −0.603350 | − | 1.04503i | ||||
\(183\) | 0.543113 | − | 0.940699i | 0.0401481 | − | 0.0695385i | ||||
\(184\) | 6.27010 | + | 5.26124i | 0.462238 | + | 0.387864i | ||||
\(185\) | 5.00944 | + | 1.82329i | 0.368302 | + | 0.134051i | ||||
\(186\) | −3.65620 | + | 1.33075i | −0.268086 | + | 0.0975752i | ||||
\(187\) | −5.11734 | + | 4.29396i | −0.374217 | + | 0.314005i | ||||
\(188\) | −1.83196 | − | 10.3895i | −0.133609 | − | 0.757735i | ||||
\(189\) | −6.47214 | −0.470779 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.9259 | −1.51415 | −0.757074 | − | 0.653329i | \(-0.773372\pi\) | ||||
−0.757074 | + | 0.653329i | \(0.773372\pi\) | |||||||
\(192\) | 0.0768330 | + | 0.435741i | 0.00554494 | + | 0.0314469i | ||||
\(193\) | −5.96656 | + | 5.00654i | −0.429482 | + | 0.360379i | −0.831756 | − | 0.555141i | \(-0.812664\pi\) |
0.402274 | + | 0.915519i | \(0.368220\pi\) | |||||||
\(194\) | 7.35245 | − | 2.67607i | 0.527875 | − | 0.192131i | ||||
\(195\) | 2.39436 | + | 0.871476i | 0.171464 | + | 0.0624077i | ||||
\(196\) | −0.497055 | − | 0.417079i | −0.0355039 | − | 0.0297913i | ||||
\(197\) | −0.912571 | + | 1.58062i | −0.0650180 | + | 0.112614i | −0.896702 | − | 0.442635i | \(-0.854044\pi\) |
0.831684 | + | 0.555249i | \(0.187377\pi\) | |||||||
\(198\) | 2.73691 | + | 4.74047i | 0.194504 | + | 0.336890i | ||||
\(199\) | 0.409680 | − | 2.32341i | 0.0290415 | − | 0.164702i | −0.966838 | − | 0.255391i | \(-0.917796\pi\) |
0.995879 | + | 0.0906888i | \(0.0289069\pi\) | |||||||
\(200\) | −0.730233 | + | 4.14136i | −0.0516353 | + | 0.292838i | ||||
\(201\) | −0.591266 | − | 1.02410i | −0.0417047 | − | 0.0722346i | ||||
\(202\) | 2.69244 | − | 4.66343i | 0.189439 | − | 0.328118i | ||||
\(203\) | −8.84314 | − | 7.42027i | −0.620667 | − | 0.520801i | ||||
\(204\) | 1.42291 | + | 0.517895i | 0.0996234 | + | 0.0362599i | ||||
\(205\) | 2.92310 | − | 1.06392i | 0.204158 | − | 0.0743076i | ||||
\(206\) | 3.59633 | − | 3.01768i | 0.250568 | − | 0.210252i | ||||
\(207\) | −3.98569 | − | 22.6040i | −0.277025 | − | 1.57109i | ||||
\(208\) | 6.45965 | 0.447896 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −0.994078 | −0.0685979 | ||||||||
\(211\) | 0.0626957 | + | 0.355565i | 0.00431615 | + | 0.0244781i | 0.986890 | − | 0.161396i | \(-0.0515995\pi\) |
−0.982574 | + | 0.185874i | \(0.940488\pi\) | |||||||
\(212\) | −2.88246 | + | 2.41867i | −0.197968 | + | 0.166115i | ||||
\(213\) | 0.0234668 | − | 0.00854121i | 0.00160792 | − | 0.000585234i | ||||
\(214\) | 15.0701 | + | 5.48507i | 1.03017 | + | 0.374952i | ||||
\(215\) | 4.26600 | + | 3.57960i | 0.290939 | + | 0.244127i | ||||
\(216\) | 1.28408 | − | 2.22409i | 0.0873705 | − | 0.151330i | ||||
\(217\) | −11.0806 | − | 19.1921i | −0.752199 | − | 1.30285i | ||||
\(218\) | −2.44858 | + | 13.8866i | −0.165839 | + | 0.940517i | ||||
\(219\) | −0.535462 | + | 3.03676i | −0.0361832 | + | 0.205205i | ||||
\(220\) | 0.870091 | + | 1.50704i | 0.0586615 | + | 0.101605i | ||||
\(221\) | 11.0533 | − | 19.1449i | 0.743525 | − | 1.28782i | ||||
\(222\) | 2.02683 | + | 1.70071i | 0.136032 | + | 0.114144i | ||||
\(223\) | 16.9601 | + | 6.17299i | 1.13574 | + | 0.413374i | 0.840371 | − | 0.542011i | \(-0.182337\pi\) |
0.295364 | + | 0.955385i | \(0.404559\pi\) | |||||||
\(224\) | −2.36816 | + | 0.861941i | −0.158230 | + | 0.0575909i | ||||
\(225\) | 9.03354 | − | 7.58004i | 0.602236 | − | 0.505336i | ||||
\(226\) | 2.20922 | + | 12.5291i | 0.146955 | + | 0.833423i | ||||
\(227\) | −12.2845 | −0.815349 | −0.407675 | − | 0.913127i | \(-0.633660\pi\) | ||||
−0.407675 | + | 0.913127i | \(0.633660\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.79174 | 0.448811 | 0.224405 | − | 0.974496i | \(-0.427956\pi\) | ||||
0.224405 | + | 0.974496i | \(0.427956\pi\) | |||||||
\(230\) | −1.26709 | − | 7.18604i | −0.0835496 | − | 0.473833i | ||||
\(231\) | 1.66738 | − | 1.39910i | 0.109706 | − | 0.0920539i | ||||
\(232\) | 4.30440 | − | 1.56667i | 0.282598 | − | 0.102857i | ||||
\(233\) | −20.1370 | − | 7.32927i | −1.31922 | − | 0.480156i | −0.416011 | − | 0.909360i | \(-0.636572\pi\) |
−0.903208 | + | 0.429203i | \(0.858794\pi\) | |||||||
\(234\) | −13.8764 | − | 11.6437i | −0.907127 | − | 0.761170i | ||||
\(235\) | −4.70254 | + | 8.14503i | −0.306760 | + | 0.531323i | ||||
\(236\) | 1.42081 | + | 2.46091i | 0.0924867 | + | 0.160192i | ||||
\(237\) | 0.701609 | − | 3.97902i | 0.0455744 | − | 0.258465i | ||||
\(238\) | −1.49765 | + | 8.49357i | −0.0970780 | + | 0.550556i | ||||
\(239\) | 5.91881 | + | 10.2517i | 0.382856 | + | 0.663126i | 0.991469 | − | 0.130341i | \(-0.0416071\pi\) |
−0.608613 | + | 0.793467i | \(0.708274\pi\) | |||||||
\(240\) | 0.197226 | − | 0.341606i | 0.0127309 | − | 0.0220506i | ||||
\(241\) | 16.6586 | + | 13.9783i | 1.07308 | + | 0.900419i | 0.995328 | − | 0.0965543i | \(-0.0307822\pi\) |
0.0777494 | + | 0.996973i | \(0.475227\pi\) | |||||||
\(242\) | 6.75614 | + | 2.45904i | 0.434301 | + | 0.158073i | ||||
\(243\) | −10.2652 | + | 3.73623i | −0.658513 | + | 0.239679i | ||||
\(244\) | −1.88060 | + | 1.57801i | −0.120393 | + | 0.101022i | ||||
\(245\) | 0.100447 | + | 0.569664i | 0.00641733 | + | 0.0363945i | ||||
\(246\) | 1.54390 | 0.0984353 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 8.79360 | 0.558394 | ||||||||
\(249\) | −1.08518 | − | 6.15437i | −0.0687706 | − | 0.390017i | ||||
\(250\) | 6.28646 | − | 5.27497i | 0.397591 | − | 0.333618i | ||||
\(251\) | −22.2153 | + | 8.08571i | −1.40222 | + | 0.510365i | −0.928836 | − | 0.370492i | \(-0.879189\pi\) |
−0.473382 | + | 0.880857i | \(0.656967\pi\) | |||||||
\(252\) | 6.64087 | + | 2.41708i | 0.418335 | + | 0.152262i | ||||
\(253\) | 12.2392 | + | 10.2699i | 0.769470 | + | 0.645662i | ||||
\(254\) | 3.58721 | − | 6.21323i | 0.225082 | − | 0.389853i | ||||
\(255\) | −0.674959 | − | 1.16906i | −0.0422676 | − | 0.0732096i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 0.160359 | − | 0.909439i | 0.0100029 | − | 0.0567293i | −0.979398 | − | 0.201941i | \(-0.935275\pi\) |
0.989401 | + | 0.145211i | \(0.0463863\pi\) | |||||||
\(258\) | 1.38197 | + | 2.39364i | 0.0860374 | + | 0.149021i | ||||
\(259\) | −7.53498 | + | 13.0510i | −0.468201 | + | 0.810948i | ||||
\(260\) | −4.41144 | − | 3.70164i | −0.273586 | − | 0.229566i | ||||
\(261\) | −12.0705 | − | 4.39330i | −0.747145 | − | 0.271939i | ||||
\(262\) | 3.31021 | − | 1.20482i | 0.204506 | − | 0.0744340i | ||||
\(263\) | 3.30906 | − | 2.77663i | 0.204045 | − | 0.171214i | −0.535039 | − | 0.844828i | \(-0.679703\pi\) |
0.739084 | + | 0.673613i | \(0.235259\pi\) | |||||||
\(264\) | 0.149977 | + | 0.850563i | 0.00923045 | + | 0.0523485i | ||||
\(265\) | 3.35449 | 0.206064 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.826407 | −0.0505753 | ||||||||
\(268\) | 0.464094 | + | 2.63201i | 0.0283490 | + | 0.160775i | ||||
\(269\) | 8.26972 | − | 6.93912i | 0.504214 | − | 0.423086i | −0.354874 | − | 0.934914i | \(-0.615476\pi\) |
0.859088 | + | 0.511829i | \(0.171032\pi\) | |||||||
\(270\) | −2.15142 | + | 0.783052i | −0.130931 | + | 0.0476550i | ||||
\(271\) | −0.758561 | − | 0.276094i | −0.0460793 | − | 0.0167715i | 0.318878 | − | 0.947796i | \(-0.396694\pi\) |
−0.364957 | + | 0.931024i | \(0.618916\pi\) | |||||||
\(272\) | −2.62160 | − | 2.19979i | −0.158958 | − | 0.133382i | ||||
\(273\) | −3.60149 | + | 6.23796i | −0.217972 | + | 0.377539i | ||||
\(274\) | 5.50177 | + | 9.52935i | 0.332374 | + | 0.575689i | ||||
\(275\) | −1.42541 | + | 8.08388i | −0.0859552 | + | 0.487476i | ||||
\(276\) | 0.628881 | − | 3.56656i | 0.0378542 | − | 0.214682i | ||||
\(277\) | 4.57434 | + | 7.92300i | 0.274846 | + | 0.476047i | 0.970096 | − | 0.242721i | \(-0.0780399\pi\) |
−0.695250 | + | 0.718768i | \(0.744707\pi\) | |||||||
\(278\) | −10.8793 | + | 18.8435i | −0.652497 | + | 1.13016i | ||||
\(279\) | −18.8901 | − | 15.8507i | −1.13092 | − | 0.948954i | ||||
\(280\) | 2.11120 | + | 0.768413i | 0.126168 | + | 0.0459215i | ||||
\(281\) | 19.9363 | − | 7.25621i | 1.18930 | − | 0.432869i | 0.329822 | − | 0.944043i | \(-0.393011\pi\) |
0.859477 | + | 0.511174i | \(0.170789\pi\) | |||||||
\(282\) | −3.57583 | + | 3.00047i | −0.212937 | + | 0.178676i | ||||
\(283\) | 0.901208 | + | 5.11101i | 0.0535713 | + | 0.303818i | 0.999807 | − | 0.0196610i | \(-0.00625868\pi\) |
−0.946235 | + | 0.323479i | \(0.895148\pi\) | |||||||
\(284\) | −0.0564404 | −0.00334912 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 12.6092 | 0.745596 | ||||||||
\(287\) | 1.52699 | + | 8.66001i | 0.0901356 | + | 0.511184i | ||||
\(288\) | −2.14816 | + | 1.80252i | −0.126582 | + | 0.106215i | ||||
\(289\) | 4.96922 | − | 1.80865i | 0.292307 | − | 0.106391i | ||||
\(290\) | −3.83733 | − | 1.39668i | −0.225336 | − | 0.0820156i | ||||
\(291\) | −2.65203 | − | 2.22531i | −0.155465 | − | 0.130450i | ||||
\(292\) | 3.48459 | − | 6.03548i | 0.203920 | − | 0.353200i | ||||
\(293\) | −8.78298 | − | 15.2126i | −0.513107 | − | 0.888728i | −0.999884 | − | 0.0152018i | \(-0.995161\pi\) |
0.486777 | − | 0.873526i | \(-0.338172\pi\) | |||||||
\(294\) | −0.0498538 | + | 0.282735i | −0.00290753 | + | 0.0164894i | ||||
\(295\) | 0.439899 | − | 2.49479i | 0.0256119 | − | 0.145252i | ||||
\(296\) | −2.98990 | − | 5.17866i | −0.173784 | − | 0.301003i | ||||
\(297\) | 2.50651 | − | 4.34140i | 0.145442 | − | 0.251914i | ||||
\(298\) | 11.0231 | + | 9.24944i | 0.638548 | + | 0.535806i | ||||
\(299\) | −49.6839 | − | 18.0835i | −2.87329 | − | 1.04579i | ||||
\(300\) | 1.74845 | − | 0.636385i | 0.100947 | − | 0.0367417i | ||||
\(301\) | −12.0595 | + | 10.1191i | −0.695099 | + | 0.583257i | ||||
\(302\) | −2.15441 | − | 12.2183i | −0.123972 | − | 0.703082i | ||||
\(303\) | −2.38261 | −0.136877 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 2.18857 | 0.125317 | ||||||||
\(306\) | 1.66647 | + | 9.45099i | 0.0952655 | + | 0.540277i | ||||
\(307\) | 16.5223 | − | 13.8639i | 0.942979 | − | 0.791253i | −0.0351224 | − | 0.999383i | \(-0.511182\pi\) |
0.978101 | + | 0.208130i | \(0.0667377\pi\) | |||||||
\(308\) | −4.62263 | + | 1.68250i | −0.263399 | + | 0.0958693i | ||||
\(309\) | −1.95195 | − | 0.710452i | −0.111043 | − | 0.0404162i | ||||
\(310\) | −6.00535 | − | 5.03908i | −0.341081 | − | 0.286201i | ||||
\(311\) | 1.28684 | − | 2.22887i | 0.0729701 | − | 0.126388i | −0.827232 | − | 0.561861i | \(-0.810086\pi\) |
0.900202 | + | 0.435473i | \(0.143419\pi\) | |||||||
\(312\) | −1.42908 | − | 2.47524i | −0.0809057 | − | 0.140133i | ||||
\(313\) | −0.900173 | + | 5.10513i | −0.0508808 | + | 0.288559i | −0.999622 | − | 0.0274949i | \(-0.991247\pi\) |
0.948741 | + | 0.316054i | \(0.102358\pi\) | |||||||
\(314\) | −0.0783536 | + | 0.444365i | −0.00442175 | + | 0.0250770i | ||||
\(315\) | −3.15011 | − | 5.45616i | −0.177489 | − | 0.307420i | ||||
\(316\) | −4.56581 | + | 7.90821i | −0.256847 | + | 0.444872i | ||||
\(317\) | 15.5171 | + | 13.0204i | 0.871528 | + | 0.731299i | 0.964419 | − | 0.264377i | \(-0.0851664\pi\) |
−0.0928912 | + | 0.995676i | \(0.529611\pi\) | |||||||
\(318\) | 1.56449 | + | 0.569427i | 0.0877321 | + | 0.0319319i | ||||
\(319\) | 8.40214 | − | 3.05813i | 0.470429 | − | 0.171222i | ||||
\(320\) | −0.682922 | + | 0.573040i | −0.0381765 | + | 0.0320339i | ||||
\(321\) | −1.23219 | − | 6.98811i | −0.0687742 | − | 0.390038i | ||||
\(322\) | 20.6275 | 1.14953 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 7.27636 | 0.404242 | ||||||||
\(325\) | −4.71705 | − | 26.7517i | −0.261655 | − | 1.48392i | ||||
\(326\) | −0.0530518 | + | 0.0445157i | −0.00293827 | + | 0.00246550i | ||||
\(327\) | 5.86282 | − | 2.13389i | 0.324215 | − | 0.118005i | ||||
\(328\) | −3.27889 | − | 1.19342i | −0.181046 | − | 0.0658955i | ||||
\(329\) | −20.3669 | − | 17.0899i | −1.12286 | − | 0.942194i | ||||
\(330\) | 0.384983 | − | 0.666811i | 0.0211926 | − | 0.0367067i | ||||
\(331\) | −10.6640 | − | 18.4706i | −0.586146 | − | 1.01523i | −0.994731 | − | 0.102515i | \(-0.967311\pi\) |
0.408585 | − | 0.912720i | \(-0.366022\pi\) | |||||||
\(332\) | −2.45259 | + | 13.9093i | −0.134603 | + | 0.763373i | ||||
\(333\) | −2.91185 | + | 16.5139i | −0.159569 | + | 0.904959i | ||||
\(334\) | 1.08685 | + | 1.88248i | 0.0594699 | + | 0.103005i | ||||
\(335\) | 1.19130 | − | 2.06340i | 0.0650879 | − | 0.112736i | ||||
\(336\) | 0.854195 | + | 0.716755i | 0.0466002 | + | 0.0391022i | ||||
\(337\) | −21.3568 | − | 7.77325i | −1.16338 | − | 0.423436i | −0.313077 | − | 0.949728i | \(-0.601360\pi\) |
−0.850304 | + | 0.526292i | \(0.823582\pi\) | |||||||
\(338\) | −26.9946 | + | 9.82524i | −1.46831 | + | 0.534422i | ||||
\(339\) | 4.31221 | − | 3.61837i | 0.234207 | − | 0.196523i | ||||
\(340\) | 0.529786 | + | 3.00457i | 0.0287317 | + | 0.162945i | ||||
\(341\) | 17.1650 | 0.929538 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −19.2762 | −1.04082 | ||||||||
\(344\) | −1.08473 | − | 6.15179i | −0.0584845 | − | 0.331682i | ||||
\(345\) | −2.47326 | + | 2.07531i | −0.133156 | + | 0.111731i | ||||
\(346\) | −15.8332 | + | 5.76280i | −0.851196 | + | 0.309810i | ||||
\(347\) | 4.63133 | + | 1.68566i | 0.248623 | + | 0.0904912i | 0.463325 | − | 0.886188i | \(-0.346656\pi\) |
−0.214703 | + | 0.976679i | \(0.568878\pi\) | |||||||
\(348\) | −1.55259 | − | 1.30278i | −0.0832278 | − | 0.0698364i | ||||
\(349\) | −13.0808 | + | 22.6565i | −0.700197 | + | 1.21278i | 0.268201 | + | 0.963363i | \(0.413571\pi\) |
−0.968397 | + | 0.249413i | \(0.919762\pi\) | |||||||
\(350\) | 5.29892 | + | 9.17799i | 0.283239 | + | 0.490584i | ||||
\(351\) | −2.88072 | + | 16.3374i | −0.153761 | + | 0.872024i | ||||
\(352\) | 0.338959 | − | 1.92233i | 0.0180666 | − | 0.102461i | ||||
\(353\) | −1.35407 | − | 2.34531i | −0.0720697 | − | 0.124828i | 0.827739 | − | 0.561114i | \(-0.189627\pi\) |
−0.899808 | + | 0.436286i | \(0.856294\pi\) | |||||||
\(354\) | 0.628656 | − | 1.08886i | 0.0334127 | − | 0.0578724i | ||||
\(355\) | 0.0385444 | + | 0.0323426i | 0.00204572 | + | 0.00171657i | ||||
\(356\) | 1.75510 | + | 0.638805i | 0.0930202 | + | 0.0338566i | ||||
\(357\) | 3.58593 | − | 1.30517i | 0.189788 | − | 0.0690771i | ||||
\(358\) | −14.5284 | + | 12.1908i | −0.767851 | + | 0.644304i | ||||
\(359\) | −1.61667 | − | 9.16858i | −0.0853245 | − | 0.483899i | −0.997286 | − | 0.0736237i | \(-0.976544\pi\) |
0.911962 | − | 0.410276i | \(-0.134567\pi\) | |||||||
\(360\) | 2.49994 | 0.131759 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 1.98687 | 0.104428 | ||||||||
\(363\) | −0.552409 | − | 3.13287i | −0.0289940 | − | 0.164433i | ||||
\(364\) | 12.4706 | − | 10.4641i | 0.653639 | − | 0.548468i | ||||
\(365\) | −5.83827 | + | 2.12496i | −0.305589 | + | 0.111225i | ||||
\(366\) | 1.02072 | + | 0.371511i | 0.0533538 | + | 0.0194192i | ||||
\(367\) | 5.94023 | + | 4.98445i | 0.310077 | + | 0.260186i | 0.784524 | − | 0.620098i | \(-0.212907\pi\) |
−0.474447 | + | 0.880284i | \(0.657352\pi\) | |||||||
\(368\) | −4.09252 | + | 7.08845i | −0.213337 | + | 0.369511i | ||||
\(369\) | 4.89242 | + | 8.47393i | 0.254689 | + | 0.441135i | ||||
\(370\) | −0.925708 | + | 5.24995i | −0.0481252 | + | 0.272932i | ||||
\(371\) | −1.64666 | + | 9.33869i | −0.0854905 | + | 0.484841i | ||||
\(372\) | −1.94542 | − | 3.36957i | −0.100866 | − | 0.174704i | ||||
\(373\) | −12.5062 | + | 21.6614i | −0.647546 | + | 1.12158i | 0.336161 | + | 0.941804i | \(0.390871\pi\) |
−0.983707 | + | 0.179778i | \(0.942462\pi\) | |||||||
\(374\) | −5.11734 | − | 4.29396i | −0.264611 | − | 0.222035i | ||||
\(375\) | −3.41205 | − | 1.24189i | −0.176198 | − | 0.0641307i | ||||
\(376\) | 9.91359 | − | 3.60825i | 0.511254 | − | 0.186081i | ||||
\(377\) | −22.6668 | + | 19.0197i | −1.16740 | + | 0.979563i | ||||
\(378\) | −1.12387 | − | 6.37381i | −0.0578059 | − | 0.327833i | ||||
\(379\) | −19.1802 | −0.985222 | −0.492611 | − | 0.870250i | \(-0.663957\pi\) | ||||
−0.492611 | + | 0.870250i | \(0.663957\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.17442 | −0.162630 | ||||||||
\(382\) | −3.63375 | − | 20.6080i | −0.185919 | − | 1.05440i | ||||
\(383\) | 3.70244 | − | 3.10671i | 0.189186 | − | 0.158746i | −0.543275 | − | 0.839555i | \(-0.682816\pi\) |
0.732461 | + | 0.680809i | \(0.238372\pi\) | |||||||
\(384\) | −0.415780 | + | 0.151331i | −0.0212177 | + | 0.00772260i | ||||
\(385\) | 4.12103 | + | 1.49993i | 0.210027 | + | 0.0764437i | ||||
\(386\) | −5.96656 | − | 5.00654i | −0.303690 | − | 0.254826i | ||||
\(387\) | −8.75856 | + | 15.1703i | −0.445223 | + | 0.771149i | ||||
\(388\) | 3.91216 | + | 6.77606i | 0.198610 | + | 0.344002i | ||||
\(389\) | 3.77322 | − | 21.3990i | 0.191310 | − | 1.08497i | −0.726266 | − | 0.687413i | \(-0.758746\pi\) |
0.917576 | − | 0.397559i | \(-0.130143\pi\) | |||||||
\(390\) | −0.442460 | + | 2.50931i | −0.0224048 | + | 0.127064i | ||||
\(391\) | 14.0057 | + | 24.2585i | 0.708297 | + | 1.22681i | ||||
\(392\) | 0.324429 | − | 0.561928i | 0.0163862 | − | 0.0283817i | ||||
\(393\) | −1.19399 | − | 1.00188i | −0.0602289 | − | 0.0505381i | ||||
\(394\) | −1.71507 | − | 0.624235i | −0.0864041 | − | 0.0314485i | ||||
\(395\) | 7.64981 | − | 2.78430i | 0.384904 | − | 0.140094i | ||||
\(396\) | −4.19319 | + | 3.51850i | −0.210716 | + | 0.176811i | ||||
\(397\) | 2.03412 | + | 11.5361i | 0.102089 | + | 0.578978i | 0.992343 | + | 0.123513i | \(0.0394159\pi\) |
−0.890254 | + | 0.455465i | \(0.849473\pi\) | |||||||
\(398\) | 2.35926 | 0.118259 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.20524 | −0.210262 | ||||||||
\(401\) | 2.05119 | + | 11.6329i | 0.102432 | + | 0.580919i | 0.992215 | + | 0.124536i | \(0.0397441\pi\) |
−0.889784 | + | 0.456383i | \(0.849145\pi\) | |||||||
\(402\) | 0.905872 | − | 0.760117i | 0.0451808 | − | 0.0379112i | ||||
\(403\) | −53.3779 | + | 19.4280i | −2.65894 | + | 0.967776i | ||||
\(404\) | 5.06012 | + | 1.84173i | 0.251751 | + | 0.0916297i | ||||
\(405\) | −4.96919 | − | 4.16964i | −0.246921 | − | 0.207191i | ||||
\(406\) | 5.77195 | − | 9.99731i | 0.286457 | − | 0.496158i | ||||
\(407\) | −5.83625 | − | 10.1087i | −0.289292 | − | 0.501069i | ||||
\(408\) | −0.262942 | + | 1.49122i | −0.0130176 | + | 0.0738264i | ||||
\(409\) | −4.38744 | + | 24.8824i | −0.216945 | + | 1.23036i | 0.660554 | + | 0.750778i | \(0.270321\pi\) |
−0.877499 | + | 0.479578i | \(0.840790\pi\) | |||||||
\(410\) | 1.55535 | + | 2.69395i | 0.0768133 | + | 0.133045i | ||||
\(411\) | 2.43433 | − | 4.21639i | 0.120077 | − | 0.207979i | ||||
\(412\) | 3.59633 | + | 3.01768i | 0.177179 | + | 0.148670i | ||||
\(413\) | 6.72941 | + | 2.44931i | 0.331133 | + | 0.120522i | ||||
\(414\) | 21.5685 | − | 7.85029i | 1.06003 | − | 0.385821i | ||||
\(415\) | 9.64552 | − | 8.09355i | 0.473480 | − | 0.397297i | ||||
\(416\) | 1.12171 | + | 6.36151i | 0.0549962 | + | 0.311899i | ||||
\(417\) | 9.62739 | 0.471455 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 31.6143 | 1.54446 | 0.772229 | − | 0.635344i | \(-0.219142\pi\) | ||||
0.772229 | + | 0.635344i | \(0.219142\pi\) | |||||||
\(420\) | −0.172620 | − | 0.978976i | −0.00842299 | − | 0.0477691i | ||||
\(421\) | 1.67742 | − | 1.40752i | 0.0817526 | − | 0.0685985i | −0.600996 | − | 0.799252i | \(-0.705229\pi\) |
0.682748 | + | 0.730654i | \(0.260785\pi\) | |||||||
\(422\) | −0.339276 | + | 0.123486i | −0.0165157 | + | 0.00601123i | ||||
\(423\) | −27.7999 | − | 10.1184i | −1.35168 | − | 0.491971i | ||||
\(424\) | −2.88246 | − | 2.41867i | −0.139984 | − | 0.117461i | ||||
\(425\) | −7.19572 | + | 12.4633i | −0.349044 | + | 0.604561i | ||||
\(426\) | 0.0124864 | + | 0.0216271i | 0.000604968 | + | 0.00104784i | ||||
\(427\) | −1.07433 | + | 6.09284i | −0.0519906 | + | 0.294853i | ||||
\(428\) | −2.78484 | + | 15.7936i | −0.134611 | + | 0.763414i | ||||
\(429\) | −2.78955 | − | 4.83164i | −0.134681 | − | 0.233274i | ||||
\(430\) | −2.78444 | + | 4.82278i | −0.134277 | + | 0.232575i | ||||
\(431\) | 1.38173 | + | 1.15941i | 0.0665554 | + | 0.0558466i | 0.675459 | − | 0.737398i | \(-0.263946\pi\) |
−0.608903 | + | 0.793245i | \(0.708390\pi\) | |||||||
\(432\) | 2.41328 | + | 0.878362i | 0.116109 | + | 0.0422602i | ||||
\(433\) | −6.17597 | + | 2.24787i | −0.296798 | + | 0.108026i | −0.486127 | − | 0.873888i | \(-0.661591\pi\) |
0.189329 | + | 0.981914i | \(0.439369\pi\) | |||||||
\(434\) | 16.9764 | − | 14.2449i | 0.814895 | − | 0.683778i | ||||
\(435\) | 0.313756 | + | 1.77940i | 0.0150434 | + | 0.0853155i | ||||
\(436\) | −14.1008 | −0.675305 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −3.08361 | −0.147340 | ||||||||
\(439\) | 1.58551 | + | 8.99188i | 0.0756723 | + | 0.429159i | 0.998982 | + | 0.0451036i | \(0.0143618\pi\) |
−0.923310 | + | 0.384056i | \(0.874527\pi\) | |||||||
\(440\) | −1.33306 | + | 1.11857i | −0.0635510 | + | 0.0533256i | ||||
\(441\) | −1.70982 | + | 0.622322i | −0.0814198 | + | 0.0296344i | ||||
\(442\) | 20.7734 | + | 7.56090i | 0.988090 | + | 0.359635i | ||||
\(443\) | −21.0422 | − | 17.6565i | −0.999744 | − | 0.838885i | −0.0127949 | − | 0.999918i | \(-0.504073\pi\) |
−0.986949 | + | 0.161033i | \(0.948517\pi\) | |||||||
\(444\) | −1.32292 | + | 2.29137i | −0.0627830 | + | 0.108743i | ||||
\(445\) | −0.832538 | − | 1.44200i | −0.0394661 | − | 0.0683572i | ||||
\(446\) | −3.13411 | + | 17.7744i | −0.148404 | + | 0.841643i | ||||
\(447\) | 1.10559 | − | 6.27013i | 0.0522928 | − | 0.296567i | ||||
\(448\) | −1.26007 | − | 2.18251i | −0.0595329 | − | 0.103114i | ||||
\(449\) | −3.78646 | + | 6.55835i | −0.178694 | + | 0.309508i | −0.941434 | − | 0.337199i | \(-0.890521\pi\) |
0.762739 | + | 0.646706i | \(0.223854\pi\) | |||||||
\(450\) | 9.03354 | + | 7.58004i | 0.425845 | + | 0.357327i | ||||
\(451\) | −6.40036 | − | 2.32954i | −0.301381 | − | 0.109694i | ||||
\(452\) | −11.9551 | + | 4.35131i | −0.562322 | + | 0.204668i | ||||
\(453\) | −4.20523 | + | 3.52861i | −0.197579 | + | 0.165788i | ||||
\(454\) | −2.13318 | − | 12.0978i | −0.100115 | − | 0.567780i | ||||
\(455\) | −14.5128 | −0.680372 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −21.7675 | −1.01824 | −0.509120 | − | 0.860696i | \(-0.670029\pi\) | ||||
−0.509120 | + | 0.860696i | \(0.670029\pi\) | |||||||
\(458\) | 1.17937 | + | 6.68856i | 0.0551085 | + | 0.312536i | ||||
\(459\) | 6.73269 | − | 5.64940i | 0.314255 | − | 0.263691i | ||||
\(460\) | 6.85684 | − | 2.49568i | 0.319702 | − | 0.116362i | ||||
\(461\) | −11.2241 | − | 4.08522i | −0.522756 | − | 0.190268i | 0.0671449 | − | 0.997743i | \(-0.478611\pi\) |
−0.589901 | + | 0.807476i | \(0.700833\pi\) | |||||||
\(462\) | 1.66738 | + | 1.39910i | 0.0775735 | + | 0.0650919i | ||||
\(463\) | 4.37685 | − | 7.58093i | 0.203410 | − | 0.352316i | −0.746215 | − | 0.665705i | \(-0.768131\pi\) |
0.949625 | + | 0.313389i | \(0.101464\pi\) | |||||||
\(464\) | 2.29032 | + | 3.96695i | 0.106326 | + | 0.184161i | ||||
\(465\) | −0.602326 | + | 3.41596i | −0.0279322 | + | 0.158411i | ||||
\(466\) | 3.72117 | − | 21.1038i | 0.172380 | − | 0.977614i | ||||
\(467\) | −14.6784 | − | 25.4238i | −0.679236 | − | 1.17647i | −0.975211 | − | 0.221276i | \(-0.928978\pi\) |
0.295975 | − | 0.955196i | \(-0.404355\pi\) | |||||||
\(468\) | 9.05716 | − | 15.6875i | 0.418667 | − | 0.725153i | ||||
\(469\) | 5.15959 | + | 4.32941i | 0.238248 | + | 0.199914i | ||||
\(470\) | −8.83788 | − | 3.21672i | −0.407661 | − | 0.148376i | ||||
\(471\) | 0.187608 | − | 0.0682838i | 0.00864453 | − | 0.00314635i | ||||
\(472\) | −2.17680 | + | 1.82656i | −0.100196 | + | 0.0840740i | ||||
\(473\) | −2.11737 | − | 12.0082i | −0.0973569 | − | 0.552139i | ||||
\(474\) | 4.04041 | 0.185582 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −8.62460 | −0.395308 | ||||||||
\(477\) | 1.83228 | + | 10.3914i | 0.0838944 | + | 0.475789i | ||||
\(478\) | −9.06815 | + | 7.60908i | −0.414767 | + | 0.348031i | ||||
\(479\) | 23.3706 | − | 8.50620i | 1.06783 | − | 0.388658i | 0.252465 | − | 0.967606i | \(-0.418759\pi\) |
0.815365 | + | 0.578948i | \(0.196537\pi\) | |||||||
\(480\) | 0.370664 | + | 0.134911i | 0.0169184 | + | 0.00615780i | ||||
\(481\) | 29.5903 | + | 24.8292i | 1.34920 | + | 1.13211i | ||||
\(482\) | −10.8732 | + | 18.8329i | −0.495259 | + | 0.857813i | ||||
\(483\) | −4.56346 | − | 7.90414i | −0.207645 | − | 0.359651i | ||||
\(484\) | −1.24849 | + | 7.08051i | −0.0567493 | + | 0.321841i | ||||
\(485\) | 1.21125 | − | 6.86934i | 0.0550000 | − | 0.311921i | ||||
\(486\) | −5.46200 | − | 9.46046i | −0.247761 | − | 0.429135i | ||||
\(487\) | −4.26883 | + | 7.39383i | −0.193439 | + | 0.335046i | −0.946388 | − | 0.323033i | \(-0.895298\pi\) |
0.752949 | + | 0.658079i | \(0.228631\pi\) | |||||||
\(488\) | −1.88060 | − | 1.57801i | −0.0851308 | − | 0.0714332i | ||||
\(489\) | 0.0287945 | + | 0.0104803i | 0.00130213 | + | 0.000473937i | ||||
\(490\) | −0.543567 | + | 0.197842i | −0.0245559 | + | 0.00893761i | ||||
\(491\) | −8.83993 | + | 7.41758i | −0.398940 | + | 0.334751i | −0.820084 | − | 0.572243i | \(-0.806073\pi\) |
0.421144 | + | 0.906994i | \(0.361629\pi\) | |||||||
\(492\) | 0.268095 | + | 1.52044i | 0.0120867 | + | 0.0685468i | ||||
\(493\) | 15.6762 | 0.706019 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.87986 | 0.219333 | ||||||||
\(496\) | 1.52699 | + | 8.66001i | 0.0685640 | + | 0.388846i | ||||
\(497\) | −0.108961 | + | 0.0914289i | −0.00488756 | + | 0.00410115i | ||||
\(498\) | 5.87243 | − | 2.13739i | 0.263150 | − | 0.0957787i | ||||
\(499\) | 27.8234 | + | 10.1269i | 1.24555 | + | 0.453342i | 0.878895 | − | 0.477016i | \(-0.158282\pi\) |
0.366652 | + | 0.930358i | \(0.380504\pi\) | |||||||
\(500\) | 6.28646 | + | 5.27497i | 0.281139 | + | 0.235904i | ||||
\(501\) | 0.480893 | − | 0.832931i | 0.0214847 | − | 0.0372126i | ||||
\(502\) | −11.8205 | − | 20.4737i | −0.527575 | − | 0.913787i | ||||
\(503\) | 1.01901 | − | 5.77912i | 0.0454356 | − | 0.257678i | −0.953626 | − | 0.300995i | \(-0.902681\pi\) |
0.999061 | + | 0.0433166i | \(0.0137924\pi\) | |||||||
\(504\) | −1.22718 | + | 6.95970i | −0.0546631 | + | 0.310010i | ||||
\(505\) | −2.40028 | − | 4.15741i | −0.106811 | − | 0.185002i | ||||
\(506\) | −7.98855 | + | 13.8366i | −0.355135 | + | 0.615111i | ||||
\(507\) | 9.73695 | + | 8.17027i | 0.432433 | + | 0.362854i | ||||
\(508\) | 6.74175 | + | 2.45380i | 0.299117 | + | 0.108870i | ||||
\(509\) | 24.0267 | − | 8.74501i | 1.06497 | − | 0.387616i | 0.250674 | − | 0.968072i | \(-0.419348\pi\) |
0.814292 | + | 0.580456i | \(0.197126\pi\) | |||||||
\(510\) | 1.03410 | − | 0.867711i | 0.0457906 | − | 0.0384229i | ||||
\(511\) | −3.04984 | − | 17.2965i | −0.134917 | − | 0.765153i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.923469 | 0.0407325 | ||||||||
\(515\) | −0.726764 | − | 4.12168i | −0.0320250 | − | 0.181623i | ||||
\(516\) | −2.11729 | + | 1.77662i | −0.0932087 | + | 0.0782114i | ||||
\(517\) | 19.3512 | − | 7.04327i | 0.851065 | − | 0.309762i | ||||
\(518\) | −14.1611 | − | 5.15423i | −0.622205 | − | 0.226464i | ||||
\(519\) | 5.71101 | + | 4.79211i | 0.250686 | + | 0.210350i | ||||
\(520\) | 2.87936 | − | 4.98720i | 0.126268 | − | 0.218703i | ||||
\(521\) | 7.01661 | + | 12.1531i | 0.307403 | + | 0.532438i | 0.977794 | − | 0.209571i | \(-0.0672066\pi\) |
−0.670390 | + | 0.742009i | \(0.733873\pi\) | |||||||
\(522\) | 2.23054 | − | 12.6500i | 0.0976280 | − | 0.553676i | ||||
\(523\) | 5.39671 | − | 30.6062i | 0.235982 | − | 1.33832i | −0.604555 | − | 0.796563i | \(-0.706649\pi\) |
0.840537 | − | 0.541754i | \(-0.182240\pi\) | |||||||
\(524\) | 1.76133 | + | 3.05071i | 0.0769439 | + | 0.133271i | ||||
\(525\) | 2.34458 | − | 4.06093i | 0.102326 | − | 0.177233i | ||||
\(526\) | 3.30906 | + | 2.77663i | 0.144282 | + | 0.121067i | ||||
\(527\) | 28.2791 | + | 10.2928i | 1.23186 | + | 0.448359i | ||||
\(528\) | −0.811597 | + | 0.295397i | −0.0353202 | + | 0.0128555i | ||||
\(529\) | 33.7020 | − | 28.2794i | 1.46531 | − | 1.22954i | ||||
\(530\) | 0.582500 | + | 3.30352i | 0.0253022 | + | 0.143496i | ||||
\(531\) | 7.96853 | 0.345805 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 22.5398 | 0.976307 | ||||||||
\(534\) | −0.143504 | − | 0.813852i | −0.00621003 | − | 0.0352188i | ||||
\(535\) | 10.9522 | − | 9.19000i | 0.473505 | − | 0.397318i | ||||
\(536\) | −2.51143 | + | 0.914086i | −0.108477 | + | 0.0394825i | ||||
\(537\) | 7.88548 | + | 2.87008i | 0.340283 | + | 0.123853i | ||||
\(538\) | 8.26972 | + | 6.93912i | 0.356533 | + | 0.299167i | ||||
\(539\) | 0.633283 | − | 1.09688i | 0.0272774 | − | 0.0472459i | ||||
\(540\) | −1.14475 | − | 1.98276i | −0.0492620 | − | 0.0853243i | ||||
\(541\) | 0.502899 | − | 2.85208i | 0.0216213 | − | 0.122621i | −0.972087 | − | 0.234622i | \(-0.924615\pi\) |
0.993708 | + | 0.112001i | \(0.0357260\pi\) | |||||||
\(542\) | 0.140176 | − | 0.794980i | 0.00602109 | − | 0.0341473i | ||||
\(543\) | −0.439559 | − | 0.761338i | −0.0188633 | − | 0.0326722i | ||||
\(544\) | 1.71113 | − | 2.96376i | 0.0733641 | − | 0.127070i | ||||
\(545\) | 9.62974 | + | 8.08031i | 0.412493 | + | 0.346123i | ||||
\(546\) | −6.76859 | − | 2.46356i | −0.289669 | − | 0.105431i | ||||
\(547\) | −28.5536 | + | 10.3927i | −1.22086 | + | 0.444358i | −0.870459 | − | 0.492240i | \(-0.836178\pi\) |
−0.350405 | + | 0.936598i | \(0.613956\pi\) | |||||||
\(548\) | −8.42921 | + | 7.07294i | −0.360078 | + | 0.302141i | ||||
\(549\) | 1.19543 | + | 6.77965i | 0.0510199 | + | 0.289348i | ||||
\(550\) | −8.20859 | −0.350015 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 3.62158 | 0.154145 | ||||||||
\(553\) | 3.99617 | + | 22.6634i | 0.169934 | + | 0.963746i | ||||
\(554\) | −7.00830 | + | 5.88066i | −0.297754 | + | 0.249845i | ||||
\(555\) | 2.21650 | − | 0.806738i | 0.0940850 | − | 0.0342441i | ||||
\(556\) | −20.4464 | − | 7.44188i | −0.867121 | − | 0.315606i | ||||
\(557\) | −4.69901 | − | 3.94294i | −0.199104 | − | 0.167068i | 0.537785 | − | 0.843082i | \(-0.319261\pi\) |
−0.736888 | + | 0.676014i | \(0.763706\pi\) | |||||||
\(558\) | 12.3296 | − | 21.3555i | 0.521955 | − | 0.904052i | ||||
\(559\) | 20.1757 | + | 34.9454i | 0.853342 | + | 1.47803i | ||||
\(560\) | −0.390134 | + | 2.21256i | −0.0164862 | + | 0.0934976i | ||||
\(561\) | −0.513261 | + | 2.91085i | −0.0216699 | + | 0.122896i | ||||
\(562\) | 10.6079 | + | 18.3734i | 0.447466 | + | 0.775034i | ||||
\(563\) | 14.0958 | − | 24.4147i | 0.594069 | − | 1.02896i | −0.399609 | − | 0.916686i | \(-0.630854\pi\) |
0.993678 | − | 0.112271i | \(-0.0358126\pi\) | |||||||
\(564\) | −3.57583 | − | 3.00047i | −0.150569 | − | 0.126343i | ||||
\(565\) | 10.6579 | + | 3.87915i | 0.448381 | + | 0.163197i | ||||
\(566\) | −4.87687 | + | 1.77503i | −0.204990 | + | 0.0746102i | ||||
\(567\) | 14.0473 | − | 11.7871i | 0.589933 | − | 0.495012i | ||||
\(568\) | −0.00980077 | − | 0.0555829i | −0.000411231 | − | 0.00233221i | ||||
\(569\) | −42.1145 | −1.76553 | −0.882766 | − | 0.469812i | \(-0.844322\pi\) | ||||
−0.882766 | + | 0.469812i | \(0.844322\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.166927 | 0.00698566 | 0.00349283 | − | 0.999994i | \(-0.498888\pi\) | ||||
0.00349283 | + | 0.999994i | \(0.498888\pi\) | |||||||
\(572\) | 2.18956 | + | 12.4176i | 0.0915500 | + | 0.519206i | ||||
\(573\) | −7.09278 | + | 5.95155i | −0.296305 | + | 0.248629i | ||||
\(574\) | −8.26329 | + | 3.00759i | −0.344903 | + | 0.125534i | ||||
\(575\) | 32.3443 | + | 11.7724i | 1.34885 | + | 0.490941i | ||||
\(576\) | −2.14816 | − | 1.80252i | −0.0895067 | − | 0.0751051i | ||||
\(577\) | 9.98157 | − | 17.2886i | 0.415538 | − | 0.719733i | −0.579947 | − | 0.814655i | \(-0.696927\pi\) |
0.995485 | + | 0.0949212i | \(0.0302599\pi\) | |||||||
\(578\) | 2.64407 | + | 4.57966i | 0.109979 | + | 0.190489i | ||||
\(579\) | −0.598436 | + | 3.39390i | −0.0248702 | + | 0.141046i | ||||
\(580\) | 0.709111 | − | 4.02157i | 0.0294442 | − | 0.166986i | ||||
\(581\) | 17.7972 | + | 30.8256i | 0.738350 | + | 1.27886i | ||||
\(582\) | 1.73099 | − | 2.99816i | 0.0717517 | − | 0.124278i | ||||
\(583\) | −5.62652 | − | 4.72121i | −0.233027 | − | 0.195533i | ||||
\(584\) | 6.54888 | + | 2.38360i | 0.270995 | + | 0.0986340i | ||||
\(585\) | −15.1749 | + | 5.52320i | −0.627404 | + | 0.228356i | ||||
\(586\) | 13.4563 | − | 11.2912i | 0.555875 | − | 0.466435i | ||||
\(587\) | 1.76149 | + | 9.98992i | 0.0727046 | + | 0.412328i | 0.999339 | + | 0.0363636i | \(0.0115775\pi\) |
−0.926634 | + | 0.375965i | \(0.877311\pi\) | |||||||
\(588\) | −0.287096 | −0.0118397 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 2.53328 | 0.104293 | ||||||||
\(591\) | 0.140231 | + | 0.795290i | 0.00576834 | + | 0.0327139i | ||||
\(592\) | 4.58079 | − | 3.84374i | 0.188269 | − | 0.157977i | ||||
\(593\) | −7.00367 | + | 2.54913i | −0.287606 | + | 0.104680i | −0.481795 | − | 0.876284i | \(-0.660015\pi\) |
0.194188 | + | 0.980964i | \(0.437793\pi\) | |||||||
\(594\) | 4.71069 | + | 1.71455i | 0.193282 | + | 0.0703489i | ||||
\(595\) | 5.88993 | + | 4.94224i | 0.241464 | + | 0.202612i | ||||
\(596\) | −7.19479 | + | 12.4617i | −0.294710 | + | 0.510452i | ||||
\(597\) | −0.521942 | − | 0.904030i | −0.0213617 | − | 0.0369995i | ||||
\(598\) | 9.18121 | − | 52.0692i | 0.375448 | − | 2.12927i | ||||
\(599\) | −1.10638 | + | 6.27462i | −0.0452056 | + | 0.256374i | −0.999032 | − | 0.0439839i | \(-0.985995\pi\) |
0.953827 | + | 0.300358i | \(0.0971061\pi\) | |||||||
\(600\) | 0.930333 | + | 1.61138i | 0.0379807 | + | 0.0657845i | ||||
\(601\) | −0.873153 | + | 1.51235i | −0.0356166 | + | 0.0616898i | −0.883284 | − | 0.468838i | \(-0.844673\pi\) |
0.847668 | + | 0.530528i | \(0.178006\pi\) | |||||||
\(602\) | −12.0595 | − | 10.1191i | −0.491509 | − | 0.412425i | ||||
\(603\) | 7.04262 | + | 2.56330i | 0.286798 | + | 0.104386i | ||||
\(604\) | 11.6585 | − | 4.24336i | 0.474379 | − | 0.172660i | ||||
\(605\) | 4.91003 | − | 4.12001i | 0.199621 | − | 0.167502i | ||||
\(606\) | −0.413736 | − | 2.34641i | −0.0168069 | − | 0.0953164i | ||||
\(607\) | 32.1612 | 1.30538 | 0.652691 | − | 0.757624i | \(-0.273640\pi\) | ||||
0.652691 | + | 0.757624i | \(0.273640\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.10775 | −0.206977 | ||||||||
\(610\) | 0.380041 | + | 2.15532i | 0.0153874 | + | 0.0872663i | ||||
\(611\) | −52.2045 | + | 43.8048i | −2.11197 | + | 1.77215i | ||||
\(612\) | −9.01803 | + | 3.28230i | −0.364532 | + | 0.132679i | ||||
\(613\) | −11.9947 | − | 4.36570i | −0.484460 | − | 0.176329i | 0.0882314 | − | 0.996100i | \(-0.471879\pi\) |
−0.572692 | + | 0.819771i | \(0.694101\pi\) | |||||||
\(614\) | 16.5223 | + | 13.8639i | 0.666787 | + | 0.559500i | ||||
\(615\) | 0.688186 | − | 1.19197i | 0.0277503 | − | 0.0480650i | ||||
\(616\) | −2.45965 | − | 4.26024i | −0.0991021 | − | 0.171650i | ||||
\(617\) | −0.292290 | + | 1.65766i | −0.0117672 | + | 0.0667348i | −0.990126 | − | 0.140181i | \(-0.955232\pi\) |
0.978359 | + | 0.206916i | \(0.0663426\pi\) | |||||||
\(618\) | 0.360706 | − | 2.04567i | 0.0145097 | − | 0.0822887i | ||||
\(619\) | −15.7642 | − | 27.3045i | −0.633618 | − | 1.09746i | −0.986806 | − | 0.161906i | \(-0.948236\pi\) |
0.353188 | − | 0.935552i | \(-0.385098\pi\) | |||||||
\(620\) | 3.91971 | − | 6.78914i | 0.157419 | − | 0.272658i | ||||
\(621\) | −16.1026 | − | 13.5117i | −0.646176 | − | 0.542206i | ||||
\(622\) | 2.41847 | + | 0.880251i | 0.0969718 | + | 0.0352949i | ||||
\(623\) | 4.42312 | − | 1.60988i | 0.177208 | − | 0.0644986i | ||||
\(624\) | 2.18948 | − | 1.83719i | 0.0876492 | − | 0.0735464i | ||||
\(625\) | 2.38077 | + | 13.5020i | 0.0952306 | + | 0.540080i | ||||
\(626\) | −5.18389 | −0.207190 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.451220 | −0.0180056 | ||||||||
\(629\) | −3.55361 | − | 20.1535i | −0.141692 | − | 0.803573i | ||||
\(630\) | 4.82625 | − | 4.04971i | 0.192283 | − | 0.161344i | ||||
\(631\) | 29.8505 | − | 10.8647i | 1.18833 | − | 0.432516i | 0.329192 | − | 0.944263i | \(-0.393224\pi\) |
0.859136 | + | 0.511747i | \(0.171001\pi\) | |||||||
\(632\) | −8.58091 | − | 3.12320i | −0.341330 | − | 0.124234i | ||||
\(633\) | 0.122377 | + | 0.102686i | 0.00486404 | + | 0.00408142i | ||||
\(634\) | −10.1281 | + | 17.5423i | −0.402237 | + | 0.696696i | ||||
\(635\) | −3.19797 | − | 5.53904i | −0.126907 | − | 0.219810i | ||||
\(636\) | −0.289106 | + | 1.63960i | −0.0114638 | + | 0.0650143i | ||||
\(637\) | −0.727829 | + | 4.12772i | −0.0288376 | + | 0.163546i | ||||
\(638\) | 4.47068 | + | 7.74345i | 0.176996 | + | 0.306566i | ||||
\(639\) | −0.0791358 | + | 0.137067i | −0.00313056 | + | 0.00542230i | ||||
\(640\) | −0.682922 | − | 0.573040i | −0.0269949 | − | 0.0226514i | ||||
\(641\) | 38.0047 | + | 13.8326i | 1.50109 | + | 0.546353i | 0.956343 | − | 0.292245i | \(-0.0944023\pi\) |
0.544750 | + | 0.838598i | \(0.316625\pi\) | |||||||
\(642\) | 6.66797 | − | 2.42694i | 0.263164 | − | 0.0957838i | ||||
\(643\) | −19.9963 | + | 16.7788i | −0.788575 | + | 0.661693i | −0.945392 | − | 0.325934i | \(-0.894321\pi\) |
0.156817 | + | 0.987628i | \(0.449877\pi\) | |||||||
\(644\) | 3.58193 | + | 20.3141i | 0.141148 | + | 0.800489i | ||||
\(645\) | 2.46402 | 0.0970208 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −48.7713 | −1.91740 | −0.958699 | − | 0.284423i | \(-0.908198\pi\) | ||||
−0.958699 | + | 0.284423i | \(0.908198\pi\) | |||||||
\(648\) | 1.26353 | + | 7.16582i | 0.0496360 | + | 0.281500i | ||||
\(649\) | −4.24910 | + | 3.56542i | −0.166792 | + | 0.139955i | ||||
\(650\) | 25.5262 | − | 9.29077i | 1.00122 | − | 0.364414i | ||||
\(651\) | −9.21417 | − | 3.35368i | −0.361132 | − | 0.131441i | ||||
\(652\) | −0.0530518 | − | 0.0445157i | −0.00207767 | − | 0.00174337i | ||||
\(653\) | 21.5915 | − | 37.3976i | 0.844942 | − | 1.46348i | −0.0407298 | − | 0.999170i | \(-0.512968\pi\) |
0.885672 | − | 0.464312i | \(-0.153698\pi\) | |||||||
\(654\) | 3.11954 | + | 5.40321i | 0.121984 | + | 0.211282i | ||||
\(655\) | 0.545328 | − | 3.09271i | 0.0213077 | − | 0.120842i | ||||
\(656\) | 0.605914 | − | 3.43631i | 0.0236570 | − | 0.134165i | ||||
\(657\) | −9.77157 | − | 16.9249i | −0.381225 | − | 0.660302i | ||||
\(658\) | 13.2935 | − | 23.0251i | 0.518236 | − | 0.897612i | ||||
\(659\) | −10.9367 | − | 9.17700i | −0.426034 | − | 0.357485i | 0.404419 | − | 0.914574i | \(-0.367474\pi\) |
−0.830453 | + | 0.557089i | \(0.811918\pi\) | |||||||
\(660\) | 0.723532 | + | 0.263344i | 0.0281634 | + | 0.0102507i | ||||
\(661\) | −33.5937 | + | 12.2271i | −1.30664 | + | 0.475579i | −0.899155 | − | 0.437631i | \(-0.855818\pi\) |
−0.407489 | + | 0.913210i | \(0.633595\pi\) | |||||||
\(662\) | 16.3382 | − | 13.7094i | 0.635002 | − | 0.532830i | ||||
\(663\) | −1.69852 | − | 9.63276i | −0.0659649 | − | 0.374106i | ||||
\(664\) | −14.1239 | −0.548114 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −16.7687 | −0.649774 | ||||||||
\(667\) | −6.51055 | − | 36.9232i | −0.252089 | − | 1.42967i | ||||
\(668\) | −1.66516 | + | 1.39723i | −0.0644268 | + | 0.0540605i | ||||
\(669\) | 7.50425 | − | 2.73132i | 0.290131 | − | 0.105599i | ||||
\(670\) | 2.23892 | + | 0.814900i | 0.0864970 | + | 0.0314823i | ||||
\(671\) | −3.67091 | − | 3.08026i | −0.141714 | − | 0.118912i | ||||
\(672\) | −0.557537 | + | 0.965682i | −0.0215074 | + | 0.0372520i | ||||
\(673\) | −5.17870 | − | 8.96976i | −0.199624 | − | 0.345759i | 0.748783 | − | 0.662816i | \(-0.230639\pi\) |
−0.948407 | + | 0.317057i | \(0.897305\pi\) | |||||||
\(674\) | 3.94658 | − | 22.3822i | 0.152017 | − | 0.862130i | ||||
\(675\) | 1.87535 | − | 10.6357i | 0.0721824 | − | 0.409367i | ||||
\(676\) | −14.3635 | − | 24.8784i | −0.552444 | − | 0.956861i | ||||
\(677\) | 5.35854 | − | 9.28126i | 0.205945 | − | 0.356708i | −0.744488 | − | 0.667636i | \(-0.767306\pi\) |
0.950434 | + | 0.310928i | \(0.100640\pi\) | |||||||
\(678\) | 4.31221 | + | 3.61837i | 0.165609 | + | 0.138963i | ||||
\(679\) | 18.5293 | + | 6.74410i | 0.711088 | + | 0.258815i | ||||
\(680\) | −2.86692 | + | 1.04347i | −0.109941 | + | 0.0400154i | ||||
\(681\) | −4.16378 | + | 3.49383i | −0.159556 | + | 0.133884i | ||||
\(682\) | 2.98067 | + | 16.9042i | 0.114136 | + | 0.647297i | ||||
\(683\) | 0.122930 | 0.00470377 | 0.00235188 | − | 0.999997i | \(-0.499251\pi\) | ||||
0.00235188 | + | 0.999997i | \(0.499251\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.80957 | 0.374804 | ||||||||
\(686\) | −3.34729 | − | 18.9834i | −0.127800 | − | 0.724790i | ||||
\(687\) | 2.30204 | − | 1.93164i | 0.0878282 | − | 0.0736966i | ||||
\(688\) | 5.86997 | − | 2.13649i | 0.223790 | − | 0.0814531i | ||||
\(689\) | 22.8404 | + | 8.31322i | 0.870150 | + | 0.316709i | ||||
\(690\) | −2.47326 | − | 2.07531i | −0.0941553 | − | 0.0790057i | ||||
\(691\) | 12.6407 | − | 21.8944i | 0.480876 | − | 0.832902i | −0.518883 | − | 0.854845i | \(-0.673652\pi\) |
0.999759 | + | 0.0219435i | \(0.00698538\pi\) | |||||||
\(692\) | −8.42464 | − | 14.5919i | −0.320257 | − | 0.554701i | ||||
\(693\) | −2.39545 | + | 13.5853i | −0.0909955 | + | 0.516061i | ||||
\(694\) | −0.855834 | + | 4.85368i | −0.0324870 | + | 0.184243i | ||||
\(695\) | 9.69881 | + | 16.7988i | 0.367897 | + | 0.637216i | ||||
\(696\) | 1.01338 | − | 1.75523i | 0.0384122 | − | 0.0665319i | ||||
\(697\) | −9.14762 | − | 7.67576i | −0.346491 | − | 0.290740i | ||||
\(698\) | −24.5838 | − | 8.94776i | −0.930509 | − | 0.338678i | ||||
\(699\) | −8.90989 | + | 3.24293i | −0.337003 | + | 0.122659i | ||||
\(700\) | −8.11841 | + | 6.81215i | −0.306847 | + | 0.257475i | ||||
\(701\) | −0.898259 | − | 5.09428i | −0.0339268 | − | 0.192408i | 0.963134 | − | 0.269022i | \(-0.0867004\pi\) |
−0.997061 | + | 0.0766135i | \(0.975589\pi\) | |||||||
\(702\) | −16.5894 | −0.626127 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 1.95199 | 0.0735684 | ||||||||
\(705\) | 0.722620 | + | 4.09818i | 0.0272154 | + | 0.154346i | ||||
\(706\) | 2.07455 | − | 1.74076i | 0.0780768 | − | 0.0655142i | ||||
\(707\) | 12.7523 | − | 4.64144i | 0.479598 | − | 0.174559i | ||||
\(708\) | 1.18149 | + | 0.430026i | 0.0444030 | + | 0.0161614i | ||||
\(709\) | −22.9742 | − | 19.2777i | −0.862815 | − | 0.723987i | 0.0997579 | − | 0.995012i | \(-0.468193\pi\) |
−0.962572 | + | 0.271024i | \(0.912638\pi\) | |||||||
\(710\) | −0.0251581 | + | 0.0435750i | −0.000944165 | + | 0.00163534i | ||||
\(711\) | 12.8036 | + | 22.1764i | 0.480171 | + | 0.831680i | ||||
\(712\) | −0.324330 | + | 1.83937i | −0.0121548 | + | 0.0689331i | ||||
\(713\) | 12.4985 | − | 70.8825i | 0.468073 | − | 2.65457i | ||||
\(714\) | 1.90803 | + | 3.30481i | 0.0714064 | + | 0.123680i | ||||
\(715\) | 5.62048 | − | 9.73496i | 0.210194 | − | 0.364067i | ||||
\(716\) | −14.5284 | − | 12.1908i | −0.542953 | − | 0.455592i | ||||
\(717\) | 4.92185 | + | 1.79141i | 0.183810 | + | 0.0669013i | ||||
\(718\) | 8.74856 | − | 3.18422i | 0.326493 | − | 0.118834i | ||||
\(719\) | −17.3917 | + | 14.5934i | −0.648601 | + | 0.544241i | −0.906646 | − | 0.421892i | \(-0.861366\pi\) |
0.258045 | + | 0.966133i | \(0.416922\pi\) | |||||||
\(720\) | 0.434111 | + | 2.46196i | 0.0161783 | + | 0.0917520i | ||||
\(721\) | 11.8313 | 0.440620 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 9.62195 | 0.357844 | ||||||||
\(724\) | 0.345017 | + | 1.95669i | 0.0128224 | + | 0.0727197i | ||||
\(725\) | 14.7561 | − | 12.3818i | 0.548028 | − | 0.459850i | ||||
\(726\) | 2.98935 | − | 1.08803i | 0.110945 | − | 0.0403807i | ||||
\(727\) | −34.3869 | − | 12.5158i | −1.27534 | − | 0.464185i | −0.386450 | − | 0.922310i | \(-0.626299\pi\) |
−0.888888 | + | 0.458125i | \(0.848521\pi\) | |||||||
\(728\) | 12.4706 | + | 10.4641i | 0.462193 | + | 0.387826i | ||||
\(729\) | 8.49781 | − | 14.7186i | 0.314734 | − | 0.545135i | ||||
\(730\) | −3.10648 | − | 5.38058i | −0.114976 | − | 0.199144i | ||||
\(731\) | 3.71222 | − | 21.0530i | 0.137301 | − | 0.778674i | ||||
\(732\) | −0.188621 | + | 1.06972i | −0.00697164 | + | 0.0395381i | ||||
\(733\) | −10.5761 | − | 18.3184i | −0.390637 | − | 0.676604i | 0.601896 | − | 0.798574i | \(-0.294412\pi\) |
−0.992534 | + | 0.121970i | \(0.961079\pi\) | |||||||
\(734\) | −3.87721 | + | 6.71552i | −0.143110 | + | 0.247875i | ||||
\(735\) | 0.196064 | + | 0.164518i | 0.00723195 | + | 0.00606832i | ||||
\(736\) | −7.69142 | − | 2.79945i | −0.283510 | − | 0.103189i | ||||
\(737\) | −4.90229 | + | 1.78429i | −0.180578 | + | 0.0657250i | ||||
\(738\) | −7.49563 | + | 6.28958i | −0.275918 | + | 0.231523i | ||||
\(739\) | 8.38836 | + | 47.5727i | 0.308571 | + | 1.74999i | 0.606202 | + | 0.795311i | \(0.292692\pi\) |
−0.297631 | + | 0.954681i | \(0.596197\pi\) | |||||||
\(740\) | −5.33094 | −0.195969 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −9.48276 | −0.348123 | ||||||||
\(743\) | 5.53240 | + | 31.3758i | 0.202964 | + | 1.15107i | 0.900611 | + | 0.434626i | \(0.143119\pi\) |
−0.697647 | + | 0.716442i | \(0.745770\pi\) | |||||||
\(744\) | 2.98056 | − | 2.50099i | 0.109273 | − | 0.0916907i | ||||
\(745\) | 12.0545 | − | 4.38750i | 0.441644 | − | 0.160745i | ||||
\(746\) | −23.5039 | − | 8.55474i | −0.860540 | − | 0.313211i | ||||
\(747\) | 30.3404 | + | 25.4586i | 1.11010 | + | 0.931483i | ||||
\(748\) | 3.34011 | − | 5.78523i | 0.122126 | − | 0.211529i | ||||
\(749\) | 20.2081 | + | 35.0015i | 0.738390 | + | 1.27893i | ||||
\(750\) | 0.630522 | − | 3.57587i | 0.0230234 | − | 0.130572i | ||||
\(751\) | −7.11892 | + | 40.3734i | −0.259773 | + | 1.47325i | 0.523743 | + | 0.851876i | \(0.324535\pi\) |
−0.783517 | + | 0.621371i | \(0.786576\pi\) | |||||||
\(752\) | 5.27491 | + | 9.13641i | 0.192356 | + | 0.333171i | ||||
\(753\) | −5.23015 | + | 9.05888i | −0.190597 | + | 0.330124i | ||||
\(754\) | −22.6668 | − | 19.0197i | −0.825475 | − | 0.692656i | ||||
\(755\) | −10.3935 | − | 3.78292i | −0.378258 | − | 0.137675i | ||||
\(756\) | 6.08182 | − | 2.21360i | 0.221194 | − | 0.0805079i | ||||
\(757\) | −9.82186 | + | 8.24152i | −0.356981 | + | 0.299543i | −0.803586 | − | 0.595188i | \(-0.797077\pi\) |
0.446605 | + | 0.894731i | \(0.352633\pi\) | |||||||
\(758\) | −3.33061 | − | 18.8888i | −0.120973 | − | 0.686073i | ||||
\(759\) | 7.06929 | 0.256599 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 35.6382 | 1.29188 | 0.645942 | − | 0.763386i | \(-0.276465\pi\) | ||||
0.645942 | + | 0.763386i | \(0.276465\pi\) | |||||||
\(762\) | −0.551232 | − | 3.12619i | −0.0199690 | − | 0.113250i | ||||
\(763\) | −27.2222 | + | 22.8421i | −0.985510 | + | 0.826941i | ||||
\(764\) | 19.6639 | − | 7.15709i | 0.711417 | − | 0.258934i | ||||
\(765\) | 8.03950 | + | 2.92614i | 0.290669 | + | 0.105795i | ||||
\(766\) | 3.70244 | + | 3.10671i | 0.133774 | + | 0.112250i | ||||
\(767\) | 9.17792 | − | 15.8966i | 0.331395 | − | 0.573994i | ||||
\(768\) | −0.221232 | − | 0.383185i | −0.00798301 | − | 0.0138270i | ||||
\(769\) | −0.967917 | + | 5.48933i | −0.0349040 | + | 0.197950i | −0.997274 | − | 0.0737938i | \(-0.976489\pi\) |
0.962370 | + | 0.271744i | \(0.0876004\pi\) | |||||||
\(770\) | −0.761536 | + | 4.31889i | −0.0274439 | + | 0.155642i | ||||
\(771\) | −0.204301 | − | 0.353859i | −0.00735771 | − | 0.0127439i | ||||
\(772\) | 3.89440 | − | 6.74529i | 0.140162 | − | 0.242768i | ||||
\(773\) | −27.8932 | − | 23.4051i | −1.00325 | − | 0.841824i | −0.0158159 | − | 0.999875i | \(-0.505035\pi\) |
−0.987431 | + | 0.158051i | \(0.949479\pi\) | |||||||
\(774\) | −16.4607 | − | 5.99121i | −0.591668 | − | 0.215350i | ||||
\(775\) | 34.7491 | − | 12.6476i | 1.24823 | − | 0.454317i | ||||
\(776\) | −5.99377 | + | 5.02937i | −0.215164 | + | 0.180544i | ||||
\(777\) | 1.15787 | + | 6.56661i | 0.0415384 | + | 0.235576i | ||||
\(778\) | 21.7291 | 0.779027 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −2.54802 | −0.0912339 | ||||||||
\(781\) | −0.0191310 | − | 0.108497i | −0.000684561 | − | 0.00388234i | ||||
\(782\) | −21.4579 | + | 18.0053i | −0.767334 | + | 0.643870i | ||||
\(783\) | −11.0544 | + | 4.02346i | −0.395051 | + | 0.143787i | ||||
\(784\) | 0.609728 | + | 0.221923i | 0.0217760 | + | 0.00792582i | ||||
\(785\) | 0.308148 | + | 0.258567i | 0.0109983 | + | 0.00922865i | ||||
\(786\) | 0.779323 | − | 1.34983i | 0.0277975 | − | 0.0481467i | ||||
\(787\) | 15.9523 | + | 27.6302i | 0.568638 | + | 0.984909i | 0.996701 | + | 0.0811606i | \(0.0258627\pi\) |
−0.428063 | + | 0.903749i | \(0.640804\pi\) | |||||||
\(788\) | 0.316933 | − | 1.79741i | 0.0112903 | − | 0.0640302i | ||||
\(789\) | 0.331893 | − | 1.88226i | 0.0118157 | − | 0.0670103i | ||||
\(790\) | 4.07038 | + | 7.05010i | 0.144818 | + | 0.250831i | ||||
\(791\) | −16.0311 | + | 27.7667i | −0.570001 | + | 0.987271i | ||||
\(792\) | −4.19319 | − | 3.51850i | −0.148998 | − | 0.125025i | ||||
\(793\) | 14.9018 | + | 5.42380i | 0.529177 | + | 0.192605i | ||||
\(794\) | −11.0076 | + | 4.00643i | −0.390644 | + | 0.142183i | ||||
\(795\) | 1.13699 | − | 0.954049i | 0.0403249 | − | 0.0338366i | ||||
\(796\) | 0.409680 | + | 2.32341i | 0.0145207 | + | 0.0823512i | ||||
\(797\) | 2.09165 | 0.0740900 | 0.0370450 | − | 0.999314i | \(-0.488206\pi\) | ||||
0.0370450 | + | 0.999314i | \(0.488206\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 36.1042 | 1.27728 | ||||||||
\(800\) | −0.730233 | − | 4.14136i | −0.0258176 | − | 0.146419i | ||||
\(801\) | 4.01221 | − | 3.36664i | 0.141764 | − | 0.118955i | ||||
\(802\) | −11.1000 | + | 4.04006i | −0.391954 | + | 0.142659i | ||||
\(803\) | 12.7833 | + | 4.65276i | 0.451114 | + | 0.164192i | ||||
\(804\) | 0.905872 | + | 0.760117i | 0.0319476 | + | 0.0268073i | ||||
\(805\) | 9.19462 | − | 15.9256i | 0.324068 | − | 0.561302i | ||||
\(806\) | −28.4018 | − | 49.1934i | −1.00041 | − | 1.73276i | ||||
\(807\) | 0.829439 | − | 4.70398i | 0.0291976 | − | 0.165588i | ||||
\(808\) | −0.935073 | + | 5.30306i | −0.0328958 | + | 0.186561i | ||||
\(809\) | 15.0360 | + | 26.0430i | 0.528636 | + | 0.915625i | 0.999442 | + | 0.0333880i | \(0.0106297\pi\) |
−0.470806 | + | 0.882237i | \(0.656037\pi\) | |||||||
\(810\) | 3.24341 | − | 5.61775i | 0.113962 | − | 0.197387i | ||||
\(811\) | −0.630908 | − | 0.529395i | −0.0221542 | − | 0.0185896i | 0.631643 | − | 0.775259i | \(-0.282381\pi\) |
−0.653797 | + | 0.756670i | \(0.726825\pi\) | |||||||
\(812\) | 10.8477 | + | 3.94825i | 0.380680 | + | 0.138556i | ||||
\(813\) | −0.335635 | + | 0.122161i | −0.0117712 | + | 0.00428438i | ||||
\(814\) | 8.94165 | − | 7.50294i | 0.313405 | − | 0.262978i | ||||
\(815\) | 0.0107210 | + | 0.0608016i | 0.000375539 | + | 0.00212979i | ||||
\(816\) | −1.51423 | −0.0530085 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −25.2663 | −0.883414 | ||||||||
\(819\) | −7.92717 | − | 44.9572i | −0.276998 | − | 1.57093i | ||||
\(820\) | −2.38294 | + | 1.99952i | −0.0832157 | + | 0.0698263i | ||||
\(821\) | −7.24620 | + | 2.63740i | −0.252894 | + | 0.0920459i | −0.465357 | − | 0.885123i | \(-0.654074\pi\) |
0.212463 | + | 0.977169i | \(0.431852\pi\) | |||||||
\(822\) | 4.57505 | + | 1.66518i | 0.159573 | + | 0.0580799i | ||||
\(823\) | −19.0071 | − | 15.9489i | −0.662547 | − | 0.555943i | 0.248302 | − | 0.968683i | \(-0.420127\pi\) |
−0.910849 | + | 0.412740i | \(0.864572\pi\) | |||||||
\(824\) | −2.34734 | + | 4.06571i | −0.0817734 | + | 0.141636i | ||||
\(825\) | 1.81600 | + | 3.14540i | 0.0632250 | + | 0.109509i | ||||
\(826\) | −1.24354 | + | 7.05249i | −0.0432685 | + | 0.245388i | ||||
\(827\) | −1.84561 | + | 10.4670i | −0.0641783 | + | 0.363973i | 0.935758 | + | 0.352644i | \(0.114717\pi\) |
−0.999936 | + | 0.0113292i | \(0.996394\pi\) | |||||||
\(828\) | 11.4764 | + | 19.8776i | 0.398831 | + | 0.690795i | ||||
\(829\) | 10.7355 | − | 18.5944i | 0.372859 | − | 0.645811i | −0.617145 | − | 0.786849i | \(-0.711711\pi\) |
0.990004 | + | 0.141039i | \(0.0450442\pi\) | |||||||
\(830\) | 9.64552 | + | 8.09355i | 0.334801 | + | 0.280931i | ||||
\(831\) | 3.80384 | + | 1.38448i | 0.131954 | + | 0.0480272i | ||||
\(832\) | −6.07009 | + | 2.20933i | −0.210442 | + | 0.0765947i | ||||
\(833\) | 1.70105 | − | 1.42735i | 0.0589379 | − | 0.0494548i | ||||
\(834\) | 1.67178 | + | 9.48113i | 0.0578890 | + | 0.328305i | ||||
\(835\) | 1.93784 | 0.0670617 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −22.5834 | −0.780595 | ||||||||
\(838\) | 5.48976 | + | 31.1340i | 0.189641 | + | 1.07551i | ||||
\(839\) | 37.4013 | − | 31.3834i | 1.29123 | − | 1.08347i | 0.299646 | − | 0.954051i | \(-0.403132\pi\) |
0.991589 | − | 0.129424i | \(-0.0413129\pi\) | |||||||
\(840\) | 0.934128 | − | 0.339995i | 0.0322305 | − | 0.0117309i | ||||
\(841\) | 7.53417 | + | 2.74221i | 0.259799 | + | 0.0945591i | ||||
\(842\) | 1.67742 | + | 1.40752i | 0.0578078 | + | 0.0485065i | ||||
\(843\) | 4.69360 | − | 8.12955i | 0.161656 | − | 0.279997i | ||||
\(844\) | −0.180525 | − | 0.312679i | −0.00621393 | − | 0.0107628i | ||||
\(845\) | −4.44712 | + | 25.2209i | −0.152986 | + | 0.867624i | ||||
\(846\) | 5.13722 | − | 29.1346i | 0.176621 | − | 1.00167i | ||||
\(847\) | 9.05960 | + | 15.6917i | 0.311292 | + | 0.539173i | ||||
\(848\) | 1.88139 | − | 3.25866i | 0.0646072 | − | 0.111903i | ||||
\(849\) | 1.75908 | + | 1.47605i | 0.0603716 | + | 0.0506578i | ||||
\(850\) | −13.5235 | − | 4.92216i | −0.463853 | − | 0.168829i | ||||
\(851\) | −45.9931 | + | 16.7401i | −1.57662 | + | 0.573844i | ||||
\(852\) | −0.0191303 | + | 0.0160522i | −0.000655393 | + | 0.000549940i | ||||
\(853\) | −3.64853 | − | 20.6918i | −0.124923 | − | 0.708475i | −0.981353 | − | 0.192212i | \(-0.938434\pi\) |
0.856430 | − | 0.516263i | \(-0.172677\pi\) | |||||||
\(854\) | −6.18683 | −0.211709 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −16.0373 | −0.548143 | ||||||||
\(857\) | −5.59828 | − | 31.7494i | −0.191233 | − | 1.08454i | −0.917681 | − | 0.397317i | \(-0.869941\pi\) |
0.726448 | − | 0.687222i | \(-0.241170\pi\) | |||||||
\(858\) | 4.27383 | − | 3.58617i | 0.145906 | − | 0.122430i | ||||
\(859\) | 38.7411 | − | 14.1006i | 1.32183 | − | 0.481106i | 0.417785 | − | 0.908546i | \(-0.362806\pi\) |
0.904044 | + | 0.427439i | \(0.140584\pi\) | |||||||
\(860\) | −5.23303 | − | 1.90467i | −0.178445 | − | 0.0649486i | ||||
\(861\) | 2.98056 | + | 2.50099i | 0.101577 | + | 0.0852335i | ||||
\(862\) | −0.901858 | + | 1.56206i | −0.0307174 | + | 0.0532041i | ||||
\(863\) | −21.0325 | − | 36.4293i | −0.715953 | − | 1.24007i | −0.962591 | − | 0.270960i | \(-0.912659\pi\) |
0.246637 | − | 0.969108i | \(-0.420674\pi\) | |||||||
\(864\) | −0.445956 | + | 2.52914i | −0.0151717 | + | 0.0860432i | ||||
\(865\) | −2.60837 | + | 14.7928i | −0.0886872 | + | 0.502970i | ||||
\(866\) | −3.28616 | − | 5.69180i | −0.111668 | − | 0.193415i | ||||
\(867\) | 1.16990 | − | 2.02633i | 0.0397320 | − | 0.0688179i | ||||
\(868\) | 16.9764 | + | 14.2449i | 0.576218 | + | 0.483504i | ||||
\(869\) | −16.7498 | − | 6.09645i | −0.568200 | − | 0.206808i | ||||
\(870\) | −1.69788 | + | 0.617978i | −0.0575635 | + | 0.0209514i | ||||
\(871\) | 13.2251 | − | 11.0972i | 0.448115 | − | 0.376013i | ||||
\(872\) | −2.44858 | − | 13.8866i | −0.0829193 | − | 0.470259i | ||||
\(873\) | 21.9412 | 0.742596 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 20.6813 | 0.699156 | ||||||||
\(876\) | −0.535462 | − | 3.03676i | −0.0180916 | − | 0.102603i | ||||
\(877\) | 1.80443 | − | 1.51409i | 0.0609312 | − | 0.0511273i | −0.611813 | − | 0.791002i | \(-0.709560\pi\) |
0.672745 | + | 0.739875i | \(0.265115\pi\) | |||||||
\(878\) | −8.57995 | + | 3.12285i | −0.289559 | + | 0.105391i | ||||
\(879\) | −7.30357 | − | 2.65828i | −0.246343 | − | 0.0896616i | ||||
\(880\) | −1.33306 | − | 1.11857i | −0.0449373 | − | 0.0377069i | ||||
\(881\) | −11.5677 | + | 20.0358i | −0.389725 | + | 0.675024i | −0.992412 | − | 0.122954i | \(-0.960763\pi\) |
0.602687 | + | 0.797977i | \(0.294097\pi\) | |||||||
\(882\) | −0.909774 | − | 1.57577i | −0.0306337 | − | 0.0530591i | ||||
\(883\) | 1.21760 | − | 6.90538i | 0.0409757 | − | 0.232385i | −0.957441 | − | 0.288628i | \(-0.906801\pi\) |
0.998417 | + | 0.0562430i | \(0.0179122\pi\) | |||||||
\(884\) | −3.83877 | + | 21.7708i | −0.129112 | + | 0.732230i | ||||
\(885\) | −0.560441 | − | 0.970712i | −0.0188390 | − | 0.0326301i | ||||
\(886\) | 13.7343 | − | 23.7885i | 0.461413 | − | 0.799191i | ||||
\(887\) | 37.4820 | + | 31.4511i | 1.25852 | + | 1.05603i | 0.995838 | + | 0.0911446i | \(0.0290525\pi\) |
0.262685 | + | 0.964882i | \(0.415392\pi\) | |||||||
\(888\) | −2.48628 | − | 0.904931i | −0.0834340 | − | 0.0303675i | ||||
\(889\) | 16.9902 | − | 6.18393i | 0.569833 | − | 0.207402i | ||||
\(890\) | 1.27552 | − | 1.07029i | 0.0427556 | − | 0.0358762i | ||||
\(891\) | 2.46639 | + | 13.9876i | 0.0826272 | + | 0.468602i | ||||
\(892\) | −18.0486 | −0.604312 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 6.36686 | 0.212940 | ||||||||
\(895\) | 2.93597 | + | 16.6507i | 0.0981388 | + | 0.556573i | ||||
\(896\) | 1.93054 | − | 1.61992i | 0.0644950 | − | 0.0541177i | ||||
\(897\) | −21.9833 | + | 8.00127i | −0.734001 | + | 0.267155i | ||||
\(898\) | −7.11622 | − | 2.59009i | −0.237471 | − | 0.0864325i | ||||
\(899\) | −30.8566 | − | 25.8917i | −1.02912 | − | 0.863537i | ||||
\(900\) | −5.89623 | + | 10.2126i | −0.196541 | + | 0.340419i | ||||
\(901\) | −6.43860 | − | 11.1520i | −0.214501 | − | 0.371527i | ||||
\(902\) | 1.18274 | − | 6.70764i | 0.0393809 | − | 0.223340i | ||||
\(903\) | −1.20955 | + | 6.85969i | −0.0402513 | + | 0.228276i | ||||
\(904\) | −6.36119 | − | 11.0179i | −0.211570 | − | 0.366450i | ||||
\(905\) | 0.885639 | − | 1.53397i | 0.0294396 | − | 0.0509910i | ||||
\(906\) | −4.20523 | − | 3.52861i | −0.139709 | − | 0.117230i | ||||
\(907\) | 1.12109 | + | 0.408044i | 0.0372252 | + | 0.0135489i | 0.360566 | − | 0.932734i | \(-0.382584\pi\) |
−0.323340 | + | 0.946283i | \(0.604806\pi\) | |||||||
\(908\) | 11.5436 | − | 4.20154i | 0.383089 | − | 0.139433i | ||||
\(909\) | 11.5676 | − | 9.70635i | 0.383672 | − | 0.321939i | ||||
\(910\) | −2.52013 | − | 14.2923i | −0.0835414 | − | 0.473787i | ||||
\(911\) | 37.6344 | 1.24688 | 0.623442 | − | 0.781870i | \(-0.285734\pi\) | ||||
0.623442 | + | 0.781870i | \(0.285734\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −27.5697 | −0.912424 | ||||||||
\(914\) | −3.77988 | − | 21.4368i | −0.125027 | − | 0.709066i | ||||
\(915\) | 0.741808 | − | 0.622450i | 0.0245234 | − | 0.0205776i | ||||
\(916\) | −6.38215 | + | 2.32291i | −0.210872 | + | 0.0767512i | ||||
\(917\) | 8.34222 | + | 3.03632i | 0.275484 | + | 0.100268i | ||||
\(918\) | 6.73269 | + | 5.64940i | 0.222212 | + | 0.186458i | ||||
\(919\) | −13.4738 | + | 23.3373i | −0.444460 | + | 0.769828i | −0.998014 | − | 0.0629854i | \(-0.979938\pi\) |
0.553554 | + | 0.832813i | \(0.313271\pi\) | |||||||
\(920\) | 3.64845 | + | 6.31929i | 0.120286 | + | 0.208341i | ||||
\(921\) | 1.65716 | − | 9.39823i | 0.0546053 | − | 0.309682i | ||||
\(922\) | 2.07412 | − | 11.7629i | 0.0683075 | − | 0.387391i | ||||
\(923\) | 0.182293 | + | 0.315740i | 0.00600023 | + | 0.0103927i | ||||
\(924\) | −1.08831 | + | 1.88500i | −0.0358026 | + | 0.0620119i | ||||
\(925\) | −19.2633 | − | 16.1639i | −0.633375 | − | 0.531464i | ||||
\(926\) | 8.22579 | + | 2.99394i | 0.270316 | + | 0.0983871i | ||||
\(927\) | 12.3710 | − | 4.50267i | 0.406317 | − | 0.147887i | ||||
\(928\) | −3.50898 | + | 2.94438i | −0.115188 | + | 0.0966541i | ||||
\(929\) | −3.10049 | − | 17.5838i | −0.101724 | − | 0.576904i | −0.992478 | − | 0.122420i | \(-0.960935\pi\) |
0.890755 | − | 0.454484i | \(-0.150177\pi\) | |||||||
\(930\) | −3.46866 | −0.113742 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 21.4294 | 0.701942 | ||||||||
\(933\) | −0.197744 | − | 1.12146i | −0.00647384 | − | 0.0367150i | ||||
\(934\) | 22.4886 | − | 18.8702i | 0.735851 | − | 0.617452i | ||||
\(935\) | −5.59620 | + | 2.03685i | −0.183015 | + | 0.0666121i | ||||
\(936\) | 17.0219 | + | 6.19546i | 0.556378 | + | 0.202505i | ||||
\(937\) | −18.2568 | − | 15.3193i | −0.596424 | − | 0.500459i | 0.293870 | − | 0.955845i | \(-0.405057\pi\) |
−0.890294 | + | 0.455386i | \(0.849501\pi\) | |||||||
\(938\) | −3.36768 | + | 5.83300i | −0.109959 | + | 0.190454i | ||||
\(939\) | 1.14684 | + | 1.98639i | 0.0374257 | + | 0.0648232i | ||||
\(940\) | 1.63317 | − | 9.26219i | 0.0532683 | − | 0.302099i | ||||
\(941\) | 3.53636 | − | 20.0557i | 0.115282 | − | 0.653796i | −0.871328 | − | 0.490700i | \(-0.836741\pi\) |
0.986610 | − | 0.163096i | \(-0.0521480\pi\) | |||||||
\(942\) | 0.0998242 | + | 0.172901i | 0.00325245 | + | 0.00563341i | ||||
\(943\) | −14.2801 | + | 24.7339i | −0.465025 | + | 0.805446i | ||||
\(944\) | −2.17680 | − | 1.82656i | −0.0708489 | − | 0.0594493i | ||||
\(945\) | −5.42189 | − | 1.97341i | −0.176374 | − | 0.0641949i | ||||
\(946\) | 11.4581 | − | 4.17041i | 0.372535 | − | 0.135592i | ||||
\(947\) | −2.61673 | + | 2.19570i | −0.0850323 | + | 0.0713506i | −0.684313 | − | 0.729188i | \(-0.739898\pi\) |
0.599281 | + | 0.800539i | \(0.295453\pi\) | |||||||
\(948\) | 0.701609 | + | 3.97902i | 0.0227872 | + | 0.129233i | ||||
\(949\) | −45.0184 | −1.46136 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 8.96261 | 0.290633 | ||||||||
\(952\) | −1.49765 | − | 8.49357i | −0.0485390 | − | 0.275278i | ||||
\(953\) | −13.5891 | + | 11.4026i | −0.440195 | + | 0.369367i | −0.835782 | − | 0.549061i | \(-0.814985\pi\) |
0.395587 | + | 0.918428i | \(0.370541\pi\) | |||||||
\(954\) | −9.91534 | + | 3.60889i | −0.321021 | + | 0.116842i | ||||
\(955\) | −17.5302 | − | 6.38049i | −0.567265 | − | 0.206468i | ||||
\(956\) | −9.06815 | − | 7.60908i | −0.293285 | − | 0.246095i | ||||
\(957\) | 1.97811 | − | 3.42619i | 0.0639434 | − | 0.110753i | ||||
\(958\) | 12.4352 | + | 21.5385i | 0.401764 | + | 0.695876i | ||||
\(959\) | −4.81536 | + | 27.3093i | −0.155496 | + | 0.881862i | ||||
\(960\) | −0.0684959 | + | 0.388460i | −0.00221070 | + | 0.0125375i | ||||
\(961\) | −23.1637 | − | 40.1208i | −0.747217 | − | 1.29422i | ||||
\(962\) | −19.3137 | + | 33.4523i | −0.622699 | + | 1.07855i | ||||
\(963\) | 34.4507 | + | 28.9075i | 1.11016 | + | 0.931532i | ||||
\(964\) | −20.4348 | − | 7.43767i | −0.658162 | − | 0.239551i | ||||
\(965\) | −6.52489 | + | 2.37487i | −0.210044 | + | 0.0764496i | ||||
\(966\) | 6.99162 | − | 5.86667i | 0.224952 | − | 0.188757i | ||||
\(967\) | −7.42435 | − | 42.1056i | −0.238751 | − | 1.35402i | −0.834568 | − | 0.550904i | \(-0.814283\pi\) |
0.595817 | − | 0.803120i | \(-0.296828\pi\) | |||||||
\(968\) | −7.18974 | −0.231087 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 6.97531 | 0.223964 | ||||||||
\(971\) | 9.21181 | + | 52.2428i | 0.295621 | + | 1.67655i | 0.664668 | + | 0.747139i | \(0.268573\pi\) |
−0.369047 | + | 0.929411i | \(0.620316\pi\) | |||||||
\(972\) | 8.36827 | − | 7.02181i | 0.268412 | − | 0.225225i | ||||
\(973\) | −51.5279 | + | 18.7546i | −1.65191 | + | 0.601246i | ||||
\(974\) | −8.02278 | − | 2.92005i | −0.257066 | − | 0.0935645i | ||||
\(975\) | −9.20728 | − | 7.72583i | −0.294869 | − | 0.247424i | ||||
\(976\) | 1.22747 | − | 2.12605i | 0.0392905 | − | 0.0680532i | ||||
\(977\) | 6.16319 | + | 10.6750i | 0.197178 | + | 0.341522i | 0.947612 | − | 0.319423i | \(-0.103489\pi\) |
−0.750434 | + | 0.660945i | \(0.770156\pi\) | |||||||
\(978\) | −0.00532101 | + | 0.0301769i | −0.000170147 | + | 0.000964952i | ||||
\(979\) | −0.633088 | + | 3.59042i | −0.0202336 | + | 0.114750i | ||||
\(980\) | −0.289226 | − | 0.500954i | −0.00923899 | − | 0.0160024i | ||||
\(981\) | −19.7709 | + | 34.2442i | −0.631236 | + | 1.09333i | ||||
\(982\) | −8.83993 | − | 7.41758i | −0.282093 | − | 0.236705i | ||||
\(983\) | 30.3102 | + | 11.0320i | 0.966744 | + | 0.351866i | 0.776673 | − | 0.629904i | \(-0.216906\pi\) |
0.190071 | + | 0.981770i | \(0.439128\pi\) | |||||||
\(984\) | −1.45079 | + | 0.528044i | −0.0462495 | + | 0.0168334i | ||||
\(985\) | −1.24643 | + | 1.04588i | −0.0397146 | + | 0.0333245i | ||||
\(986\) | 2.72214 | + | 15.4380i | 0.0866905 | + | 0.491646i | ||||
\(987\) | −11.7638 | −0.374446 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −51.1294 | −1.62582 | ||||||||
\(990\) | 0.847379 | + | 4.80573i | 0.0269315 | + | 0.152736i | ||||
\(991\) | 21.3241 | − | 17.8930i | 0.677381 | − | 0.568390i | −0.237859 | − | 0.971300i | \(-0.576446\pi\) |
0.915240 | + | 0.402910i | \(0.132001\pi\) | |||||||
\(992\) | −8.26329 | + | 3.00759i | −0.262360 | + | 0.0954911i | ||||
\(993\) | −8.86774 | − | 3.22760i | −0.281409 | − | 0.102425i | ||||
\(994\) | −0.108961 | − | 0.0914289i | −0.00345602 | − | 0.00289995i | ||||
\(995\) | 1.05163 | − | 1.82147i | 0.0333388 | − | 0.0577446i | ||||
\(996\) | 3.12465 | + | 5.41206i | 0.0990085 | + | 0.171488i | ||||
\(997\) | −7.52441 | + | 42.6730i | −0.238300 | + | 1.35147i | 0.597250 | + | 0.802055i | \(0.296260\pi\) |
−0.835551 | + | 0.549414i | \(0.814851\pi\) | |||||||
\(998\) | −5.14156 | + | 29.1592i | −0.162753 | + | 0.923019i | ||||
\(999\) | 7.67853 | + | 13.2996i | 0.242938 | + | 0.420781i |
(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 | 722.2.e.r.389.2 | 24 | ||
19.2 | odd | 18 | 722.2.e.s.245.3 | 24 | |||
19.3 | odd | 18 | 722.2.e.s.423.3 | 24 | |||
19.4 | even | 9 | 722.2.c.m.429.3 | 8 | |||
19.5 | even | 9 | inner | 722.2.e.r.415.3 | 24 | ||
19.6 | even | 9 | 722.2.a.n.1.2 | yes | 4 | ||
19.7 | even | 3 | inner | 722.2.e.r.99.2 | 24 | ||
19.8 | odd | 6 | 722.2.e.s.595.2 | 24 | |||
19.9 | even | 9 | 722.2.c.m.653.3 | 8 | |||
19.10 | odd | 18 | 722.2.c.n.653.2 | 8 | |||
19.11 | even | 3 | inner | 722.2.e.r.595.3 | 24 | ||
19.12 | odd | 6 | 722.2.e.s.99.3 | 24 | |||
19.13 | odd | 18 | 722.2.a.m.1.3 | ✓ | 4 | ||
19.14 | odd | 18 | 722.2.e.s.415.2 | 24 | |||
19.15 | odd | 18 | 722.2.c.n.429.2 | 8 | |||
19.16 | even | 9 | inner | 722.2.e.r.423.2 | 24 | ||
19.17 | even | 9 | inner | 722.2.e.r.245.2 | 24 | ||
19.18 | odd | 2 | 722.2.e.s.389.3 | 24 | |||
57.32 | even | 18 | 6498.2.a.ca.1.2 | 4 | |||
57.44 | odd | 18 | 6498.2.a.bx.1.2 | 4 | |||
76.51 | even | 18 | 5776.2.a.bv.1.2 | 4 | |||
76.63 | odd | 18 | 5776.2.a.bt.1.3 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.a.m.1.3 | ✓ | 4 | 19.13 | odd | 18 | ||
722.2.a.n.1.2 | yes | 4 | 19.6 | even | 9 | ||
722.2.c.m.429.3 | 8 | 19.4 | even | 9 | |||
722.2.c.m.653.3 | 8 | 19.9 | even | 9 | |||
722.2.c.n.429.2 | 8 | 19.15 | odd | 18 | |||
722.2.c.n.653.2 | 8 | 19.10 | odd | 18 | |||
722.2.e.r.99.2 | 24 | 19.7 | even | 3 | inner | ||
722.2.e.r.245.2 | 24 | 19.17 | even | 9 | inner | ||
722.2.e.r.389.2 | 24 | 1.1 | even | 1 | trivial | ||
722.2.e.r.415.3 | 24 | 19.5 | even | 9 | inner | ||
722.2.e.r.423.2 | 24 | 19.16 | even | 9 | inner | ||
722.2.e.r.595.3 | 24 | 19.11 | even | 3 | inner | ||
722.2.e.s.99.3 | 24 | 19.12 | odd | 6 | |||
722.2.e.s.245.3 | 24 | 19.2 | odd | 18 | |||
722.2.e.s.389.3 | 24 | 19.18 | odd | 2 | |||
722.2.e.s.415.2 | 24 | 19.14 | odd | 18 | |||
722.2.e.s.423.3 | 24 | 19.3 | odd | 18 | |||
722.2.e.s.595.2 | 24 | 19.8 | odd | 6 | |||
5776.2.a.bt.1.3 | 4 | 76.63 | odd | 18 | |||
5776.2.a.bv.1.2 | 4 | 76.51 | even | 18 | |||
6498.2.a.bx.1.2 | 4 | 57.44 | odd | 18 | |||
6498.2.a.ca.1.2 | 4 | 57.32 | even | 18 |