Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(529,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.529");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.bk (of order \(6\), degree \(2\), 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 168) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 529.16 | ||
Character | \(\chi\) | \(=\) | 672.529 |
Dual form | 672.2.bk.a.625.16 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.09843 | − | 1.78888i | 1.38566 | − | 0.800012i | 0.392838 | − | 0.919608i | \(-0.371493\pi\) |
0.992823 | + | 0.119596i | \(0.0381600\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.993295 | + | 2.45222i | −0.375430 | + | 0.926851i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.815768 | + | 0.470984i | 0.245963 | + | 0.142007i | 0.617914 | − | 0.786245i | \(-0.287978\pi\) |
−0.371951 | + | 0.928252i | \(0.621311\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.15117i | 1.70603i | 0.521889 | + | 0.853013i | \(0.325228\pi\) | ||||
−0.521889 | + | 0.853013i | \(0.674772\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.57776 | 0.923774 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.89187 | − | 3.27682i | 0.458847 | − | 0.794746i | −0.540053 | − | 0.841631i | \(-0.681596\pi\) |
0.998900 | + | 0.0468845i | \(0.0149293\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.09110 | + | 1.20730i | −0.479731 | + | 0.276973i | −0.720305 | − | 0.693658i | \(-0.755998\pi\) |
0.240573 | + | 0.970631i | \(0.422665\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.08633 | + | 1.62703i | −0.455274 | + | 0.355048i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.49371 | + | 2.58719i | 0.311461 | + | 0.539466i | 0.978679 | − | 0.205396i | \(-0.0658483\pi\) |
−0.667218 | + | 0.744863i | \(0.732515\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.90019 | − | 6.75532i | 0.780037 | − | 1.35106i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 2.68125i | − | 0.497897i | −0.968517 | − | 0.248948i | \(-0.919915\pi\) | ||
0.968517 | − | 0.248948i | \(-0.0800849\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.35686 | − | 9.27835i | 0.962120 | − | 1.66644i | 0.244960 | − | 0.969533i | \(-0.421225\pi\) |
0.717160 | − | 0.696908i | \(-0.245441\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.470984 | + | 0.815768i | 0.0819877 | + | 0.142007i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.30906 | + | 9.37491i | 0.221272 | + | 1.58465i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.47851 | + | 0.853618i | −0.243065 | + | 0.140334i | −0.616585 | − | 0.787288i | \(-0.711484\pi\) |
0.373519 | + | 0.927622i | \(0.378151\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −3.07558 | + | 5.32707i | −0.492488 | + | 0.853013i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.56000 | −0.712152 | −0.356076 | − | 0.934457i | \(-0.615886\pi\) | ||||
−0.356076 | + | 0.934457i | \(0.615886\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 3.50672i | − | 0.534770i | −0.963590 | − | 0.267385i | \(-0.913840\pi\) | ||
0.963590 | − | 0.267385i | \(-0.0861596\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.09843 | + | 1.78888i | 0.461887 | + | 0.266671i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3.42292 | − | 5.92866i | −0.499284 | − | 0.864785i | 0.500716 | − | 0.865612i | \(-0.333070\pi\) |
−1.00000 | 0.000827022i | \(0.999737\pi\) | ||||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.02673 | − | 4.87155i | −0.718104 | − | 0.695936i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.27682 | − | 1.89187i | 0.458847 | − | 0.264915i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.57466 | + | 3.79588i | 0.903099 | + | 0.521404i | 0.878204 | − | 0.478286i | \(-0.158742\pi\) |
0.0248947 | + | 0.999690i | \(0.492075\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.37013 | 0.454429 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.41460 | −0.319821 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.100623 | − | 0.0580947i | −0.0131000 | − | 0.00756328i | 0.493436 | − | 0.869782i | \(-0.335741\pi\) |
−0.506536 | + | 0.862219i | \(0.669074\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.06184 | + | 4.07716i | −0.904176 | + | 0.522027i | −0.878553 | − | 0.477645i | \(-0.841490\pi\) |
−0.0256236 | + | 0.999672i | \(0.508157\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.62033 | + | 0.365889i | −0.330130 | + | 0.0460977i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 11.0037 | + | 19.0590i | 1.36484 | + | 2.36397i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.44314 | + | 1.98790i | 0.420647 | + | 0.242861i | 0.695354 | − | 0.718667i | \(-0.255248\pi\) |
−0.274707 | + | 0.961528i | \(0.588581\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.98743i | 0.359644i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.92572 | 0.465897 | 0.232949 | − | 0.972489i | \(-0.425163\pi\) | ||||
0.232949 | + | 0.972489i | \(0.425163\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.11438 | + | 5.39427i | −0.364511 | + | 0.631351i | −0.988698 | − | 0.149924i | \(-0.952097\pi\) |
0.624187 | + | 0.781275i | \(0.285430\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 6.75532 | − | 3.90019i | 0.780037 | − | 0.450355i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.96525 | + | 1.53261i | −0.223961 | + | 0.174657i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.73628 | − | 4.73937i | −0.307855 | − | 0.533221i | 0.670038 | − | 0.742327i | \(-0.266278\pi\) |
−0.977893 | + | 0.209106i | \(0.932945\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.19560i | 0.131234i | 0.997845 | + | 0.0656172i | \(0.0209016\pi\) | ||||
−0.997845 | + | 0.0656172i | \(0.979098\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 13.5373i | − | 1.46833i | ||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.34063 | − | 2.32203i | 0.143730 | − | 0.248948i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.910509 | + | 1.57705i | 0.0965138 | + | 0.167167i | 0.910239 | − | 0.414082i | \(-0.135897\pi\) |
−0.813726 | + | 0.581249i | \(0.802564\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −15.0840 | − | 6.10992i | −1.58123 | − | 0.640494i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 9.27835 | − | 5.35686i | 0.962120 | − | 0.555480i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.31942 | + | 7.48146i | −0.443163 | + | 0.767581i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.0241 | 1.22086 | 0.610431 | − | 0.792069i | \(-0.290996\pi\) | ||||
0.610431 | + | 0.792069i | \(0.290996\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.941967i | 0.0946713i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.54240 | + | 0.890504i | 0.153474 | + | 0.0886085i | 0.574770 | − | 0.818315i | \(-0.305091\pi\) |
−0.421296 | + | 0.906923i | \(0.638425\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.21150 | − | 10.7586i | −0.612037 | − | 1.06008i | −0.990897 | − | 0.134625i | \(-0.957017\pi\) |
0.378859 | − | 0.925454i | \(-0.376316\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.55377 | + | 8.77344i | −0.346813 | + | 0.856200i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −8.41266 | + | 4.85705i | −0.813283 | + | 0.469549i | −0.848095 | − | 0.529845i | \(-0.822250\pi\) |
0.0348118 | + | 0.999394i | \(0.488917\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.3647 | − | 7.13874i | −1.18432 | − | 0.683767i | −0.227309 | − | 0.973823i | \(-0.572993\pi\) |
−0.957010 | + | 0.290055i | \(0.906326\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.70724 | −0.162044 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −13.8775 | −1.30549 | −0.652743 | − | 0.757580i | \(-0.726382\pi\) | ||||
−0.652743 | + | 0.757580i | \(0.726382\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.25634 | + | 5.34415i | 0.863159 | + | 0.498345i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −5.32707 | + | 3.07558i | −0.492488 | + | 0.284338i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 6.15629 | + | 7.89414i | 0.564346 | + | 0.723654i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.05635 | − | 8.75785i | −0.459668 | − | 0.796168i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.94907 | − | 2.28000i | −0.356076 | − | 0.205581i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 10.0191i | − | 0.896131i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.77389 | −0.689822 | −0.344911 | − | 0.938635i | \(-0.612091\pi\) | ||||
−0.344911 | + | 0.938635i | \(0.612091\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.75336 | − | 3.03691i | 0.154375 | − | 0.267385i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.10134 | − | 3.52261i | 0.533076 | − | 0.307772i | −0.209192 | − | 0.977875i | \(-0.567083\pi\) |
0.742268 | + | 0.670103i | \(0.233750\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.883475 | − | 6.32703i | −0.0766070 | − | 0.548623i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.78888 | + | 3.09843i | 0.153962 | + | 0.266671i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.05379 | − | 15.6816i | 0.773518 | − | 1.33977i | −0.162106 | − | 0.986773i | \(-0.551829\pi\) |
0.935624 | − | 0.352999i | \(-0.114838\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 8.32721i | − | 0.706305i | −0.935566 | − | 0.353152i | \(-0.885110\pi\) | ||
0.935566 | − | 0.353152i | \(-0.114890\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | − | 6.84583i | − | 0.576523i | ||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −2.89710 | + | 5.01792i | −0.242268 | + | 0.419620i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.79644 | − | 8.30768i | −0.398323 | − | 0.689916i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.91750 | − | 6.73225i | −0.158153 | − | 0.555267i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −17.9316 | + | 10.3528i | −1.46901 | + | 0.848134i | −0.999396 | − | 0.0347378i | \(-0.988940\pi\) |
−0.469614 | + | 0.882872i | \(0.655607\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.97783 | − | 3.42570i | 0.160954 | − | 0.278780i | −0.774257 | − | 0.632871i | \(-0.781876\pi\) |
0.935211 | + | 0.354091i | \(0.115210\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.78375 | 0.305898 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 38.3311i | − | 3.07883i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.2803 | + | 5.93532i | 0.820456 | + | 0.473690i | 0.850574 | − | 0.525856i | \(-0.176255\pi\) |
−0.0301179 | + | 0.999546i | \(0.509588\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.79588 | + | 6.57466i | 0.301033 | + | 0.521404i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.82805 | + | 1.09307i | −0.616937 | + | 0.0861459i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −14.7683 | + | 8.52649i | −1.15674 | + | 0.667846i | −0.950522 | − | 0.310659i | \(-0.899450\pi\) |
−0.206222 | + | 0.978505i | \(0.566117\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.91862 | + | 1.68507i | 0.227214 | + | 0.131182i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −10.4339 | −0.807396 | −0.403698 | − | 0.914892i | \(-0.632275\pi\) | ||||
−0.403698 | + | 0.914892i | \(0.632275\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −24.8369 | −1.91053 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.09110 | − | 1.20730i | −0.159910 | − | 0.0923244i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 12.6216 | − | 7.28708i | 0.959602 | − | 0.554027i | 0.0635517 | − | 0.997979i | \(-0.479757\pi\) |
0.896051 | + | 0.443952i | \(0.146424\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.6915 | + | 16.2741i | 0.959385 | + | 1.23021i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.0580947 | − | 0.100623i | −0.00436666 | − | 0.00756328i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −3.27323 | − | 1.88980i | −0.244653 | − | 0.141251i | 0.372660 | − | 0.927968i | \(-0.378446\pi\) |
−0.617313 | + | 0.786717i | \(0.711779\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 1.12363i | − | 0.0835189i | −0.999128 | − | 0.0417595i | \(-0.986704\pi\) | ||
0.999128 | − | 0.0417595i | \(-0.0132963\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −8.15432 | −0.602784 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.05404 | + | 5.28975i | −0.224537 | + | 0.388910i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.08666 | − | 1.78208i | 0.225719 | − | 0.130319i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.45222 | − | 0.993295i | −0.178372 | − | 0.0722516i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 7.01502 | + | 12.1504i | 0.507589 | + | 0.879169i | 0.999961 | + | 0.00878494i | \(0.00279637\pi\) |
−0.492373 | + | 0.870384i | \(0.663870\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.390098 | + | 0.675669i | −0.0280798 | + | 0.0486357i | −0.879724 | − | 0.475485i | \(-0.842273\pi\) |
0.851644 | + | 0.524121i | \(0.175606\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 22.0074i | 1.57598i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 2.37637i | − | 0.169309i | −0.996410 | − | 0.0846545i | \(-0.973021\pi\) | ||
0.996410 | − | 0.0846545i | \(-0.0269787\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.79196 | + | 11.7640i | −0.481469 | + | 0.833929i | −0.999774 | − | 0.0212671i | \(-0.993230\pi\) |
0.518305 | + | 0.855196i | \(0.326563\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.98790 | + | 3.44314i | 0.140216 | + | 0.242861i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 6.57502 | + | 2.66328i | 0.461476 | + | 0.186925i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.1288 | + | 8.15729i | −0.986801 | + | 0.569730i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1.49371 | + | 2.58719i | −0.103820 | + | 0.179822i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.27447 | −0.157328 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.1932i | 0.977103i | 0.872535 | + | 0.488551i | \(0.162474\pi\) | ||||
−0.872535 | + | 0.488551i | \(0.837526\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.39977 | + | 1.96286i | 0.232949 | + | 0.134493i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −6.27311 | − | 10.8653i | −0.427823 | − | 0.741010i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 17.4316 | + | 22.3523i | 1.18333 | + | 1.51737i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −5.39427 | + | 3.11438i | −0.364511 | + | 0.210450i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 20.1563 | + | 11.6372i | 1.35586 | + | 0.782805i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.198178 | 0.0132710 | 0.00663548 | − | 0.999978i | \(-0.497888\pi\) | ||||
0.00663548 | + | 0.999978i | \(0.497888\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 7.80037 | 0.520025 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 22.3054 | + | 12.8780i | 1.48046 | + | 0.854744i | 0.999755 | − | 0.0221381i | \(-0.00704735\pi\) |
0.480705 | + | 0.876882i | \(0.340381\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.9965 | − | 8.08087i | 0.924913 | − | 0.533999i | 0.0397138 | − | 0.999211i | \(-0.487355\pi\) |
0.885199 | + | 0.465212i | \(0.154022\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.46826 | + | 0.344656i | −0.162400 | + | 0.0226767i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −12.5619 | − | 21.7579i | −0.822959 | − | 1.42541i | −0.903469 | − | 0.428654i | \(-0.858988\pi\) |
0.0805094 | − | 0.996754i | \(-0.474345\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −21.2113 | − | 12.2464i | −1.38368 | − | 0.798865i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 5.47255i | − | 0.355480i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −16.0389 | −1.03747 | −0.518736 | − | 0.854935i | \(-0.673597\pi\) | ||||
−0.518736 | + | 0.854935i | \(0.673597\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.58453 | − | 11.4047i | 0.424147 | − | 0.734643i | −0.572194 | − | 0.820119i | \(-0.693907\pi\) |
0.996340 | + | 0.0854750i | \(0.0272408\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −24.2896 | − | 6.10194i | −1.55181 | − | 0.389839i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.42629 | − | 12.8627i | −0.472523 | − | 0.818435i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.597802 | + | 1.03542i | −0.0378841 | + | 0.0656172i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 8.64704i | − | 0.545796i | −0.962043 | − | 0.272898i | \(-0.912018\pi\) | ||
0.962043 | − | 0.272898i | \(-0.0879822\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.81406i | 0.176918i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 6.76867 | − | 11.7237i | 0.423871 | − | 0.734166i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 7.23254 | + | 12.5271i | 0.451154 | + | 0.781421i | 0.998458 | − | 0.0555126i | \(-0.0176793\pi\) |
−0.547304 | + | 0.836934i | \(0.684346\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.624659 | − | 4.47352i | −0.0388144 | − | 0.277971i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.32203 | − | 1.34063i | 0.143730 | − | 0.0829828i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 9.94833 | − | 17.2310i | 0.613440 | − | 1.06251i | −0.377216 | − | 0.926125i | \(-0.623119\pi\) |
0.990656 | − | 0.136384i | \(-0.0435481\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 27.1615 | 1.66852 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.82102i | 0.111444i | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −14.6930 | − | 8.48299i | −0.895847 | − | 0.517217i | −0.0199962 | − | 0.999800i | \(-0.506365\pi\) |
−0.875850 | + | 0.482583i | \(0.839699\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.538186 | + | 0.932165i | 0.0326925 | + | 0.0566250i | 0.881909 | − | 0.471420i | \(-0.156258\pi\) |
−0.849216 | + | 0.528045i | \(0.822925\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −10.0082 | − | 12.8333i | −0.605721 | − | 0.776709i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.36329 | − | 3.67385i | 0.383721 | − | 0.221541i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.23611 | − | 2.44572i | −0.254523 | − | 0.146949i | 0.367311 | − | 0.930098i | \(-0.380279\pi\) |
−0.621834 | + | 0.783149i | \(0.713612\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 10.7137 | 0.641414 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.754188 | −0.0449911 | −0.0224956 | − | 0.999747i | \(-0.507161\pi\) | ||||
−0.0224956 | + | 0.999747i | \(0.507161\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 16.8270 | + | 9.71510i | 1.00026 | + | 0.577503i | 0.908326 | − | 0.418262i | \(-0.137361\pi\) |
0.0919376 | + | 0.995765i | \(0.470694\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −7.48146 | + | 4.31942i | −0.443163 | + | 0.255860i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.52942 | − | 11.1821i | 0.267363 | − | 0.660058i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.34162 | + | 2.32376i | 0.0789189 | + | 0.136691i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 10.4132 | + | 6.01205i | 0.610431 | + | 0.352433i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 21.9433i | 1.28194i | 0.767564 | + | 0.640972i | \(0.221468\pi\) | ||||
−0.767564 | + | 0.640972i | \(0.778532\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.415698 | −0.0242029 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.470984 | + | 0.815768i | −0.0273292 | + | 0.0473356i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −15.9142 | + | 9.18809i | −0.920344 | + | 0.531361i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 8.59925 | + | 3.48321i | 0.495652 | + | 0.200769i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.890504 | + | 1.54240i | 0.0511581 | + | 0.0886085i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −14.5871 | + | 25.2656i | −0.835255 | + | 1.44670i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 2.18555i | − | 0.124736i | −0.998053 | − | 0.0623679i | \(-0.980135\pi\) | ||
0.998053 | − | 0.0623679i | \(-0.0198652\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 12.4230i | − | 0.706720i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 13.6343 | − | 23.6152i | 0.773129 | − | 1.33910i | −0.162712 | − | 0.986674i | \(-0.552024\pi\) |
0.935840 | − | 0.352424i | \(-0.114643\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.683268 | + | 1.18346i | 0.0386206 | + | 0.0668929i | 0.884690 | − | 0.466181i | \(-0.154370\pi\) |
−0.846069 | + | 0.533073i | \(0.821037\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −7.46438 | + | 5.82114i | −0.420570 | + | 0.327984i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −7.09368 | + | 4.09554i | −0.398421 | + | 0.230028i | −0.685802 | − | 0.727788i | \(-0.740549\pi\) |
0.287382 | + | 0.957816i | \(0.407215\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.26283 | − | 2.18728i | 0.0707048 | − | 0.122464i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −9.71411 | −0.542189 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 9.13622i | 0.508353i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 41.5531 | + | 23.9907i | 2.30495 | + | 1.33076i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −7.13874 | − | 12.3647i | −0.394773 | − | 0.683767i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 17.9383 | − | 2.50482i | 0.988972 | − | 0.138095i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.3643 | − | 7.71590i | 0.734570 | − | 0.424104i | −0.0855218 | − | 0.996336i | \(-0.527256\pi\) |
0.820092 | + | 0.572232i | \(0.193922\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.47851 | − | 0.853618i | −0.0810218 | − | 0.0467780i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 14.2245 | 0.777165 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.543923 | −0.0296294 | −0.0148147 | − | 0.999890i | \(-0.504716\pi\) | ||||
−0.0148147 | + | 0.999890i | \(0.504716\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −12.0183 | − | 6.93875i | −0.652743 | − | 0.376861i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.73990 | − | 5.04599i | 0.473292 | − | 0.273255i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.9391 | − | 7.48774i | 0.914626 | − | 0.404300i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 5.34415 | + | 9.25634i | 0.287720 | + | 0.498345i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 9.92740 | + | 5.73159i | 0.532931 | + | 0.307688i | 0.742209 | − | 0.670168i | \(-0.233778\pi\) |
−0.209278 | + | 0.977856i | \(0.567111\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 1.23092i | − | 0.0658899i | −0.999457 | − | 0.0329449i | \(-0.989511\pi\) | ||
0.999457 | − | 0.0329449i | \(-0.0104886\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −6.15117 | −0.328325 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 17.1091 | − | 29.6339i | 0.910628 | − | 1.57725i | 0.0974483 | − | 0.995241i | \(-0.468932\pi\) |
0.813179 | − | 0.582013i | \(-0.197735\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.1636 | − | 7.02264i | 0.645575 | − | 0.372723i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.38443 | + | 9.91467i | 0.0732720 | + | 0.524740i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 16.9536 | + | 29.3645i | 0.894777 | + | 1.54980i | 0.834080 | + | 0.551643i | \(0.185999\pi\) |
0.0606972 | + | 0.998156i | \(0.480668\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.58487 | + | 11.4053i | −0.346572 | + | 0.600280i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | − | 10.1127i | − | 0.530779i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 22.2850i | 1.16645i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −9.62235 | + | 16.6664i | −0.502282 | + | 0.869979i | 0.497714 | + | 0.867341i | \(0.334173\pi\) |
−0.999997 | + | 0.00263748i | \(0.999160\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −2.28000 | − | 3.94907i | −0.118692 | − | 0.205581i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −15.8389 | + | 12.3521i | −0.822315 | + | 0.641287i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.8464 | + | 7.41686i | −0.665160 | + | 0.384030i | −0.794240 | − | 0.607604i | \(-0.792131\pi\) |
0.129080 | + | 0.991634i | \(0.458798\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 5.00953 | − | 8.67676i | 0.258691 | − | 0.448066i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 16.4928 | 0.849425 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 11.7500i | 0.603555i | 0.953378 | + | 0.301778i | \(0.0975800\pi\) | ||||
−0.953378 | + | 0.301778i | \(0.902420\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −6.73239 | − | 3.88695i | −0.344911 | − | 0.199134i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 9.53274 | + | 16.5112i | 0.487100 | + | 0.843682i | 0.999890 | − | 0.0148320i | \(-0.00472133\pi\) |
−0.512790 | + | 0.858514i | \(0.671388\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.34754 | + | 8.26430i | −0.170606 | + | 0.421188i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 3.03691 | − | 1.75336i | 0.154375 | − | 0.0891284i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 1.73492 | + | 1.00165i | 0.0879638 | + | 0.0507859i | 0.543337 | − | 0.839515i | \(-0.317161\pi\) |
−0.455373 | + | 0.890301i | \(0.650494\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.3037 | 0.571652 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.04522 | 0.355384 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −16.9563 | − | 9.78974i | −0.853165 | − | 0.492575i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.34718 | − | 4.24190i | 0.368744 | − | 0.212895i | −0.304165 | − | 0.952619i | \(-0.598378\pi\) |
0.672910 | + | 0.739725i | \(0.265044\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.39841 | − | 5.92111i | 0.120070 | − | 0.296426i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7.04632 | + | 12.2046i | 0.351876 | + | 0.609468i | 0.986578 | − | 0.163289i | \(-0.0522104\pi\) |
−0.634702 | + | 0.772757i | \(0.718877\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 57.0727 | + | 32.9509i | 2.84299 | + | 1.64140i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3.57776i | 0.177780i | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.60816 | −0.0797135 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.1789 | + | 26.2906i | −0.750547 | + | 1.29998i | 0.197011 | + | 0.980401i | \(0.436876\pi\) |
−0.947558 | + | 0.319584i | \(0.896457\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 15.6816 | − | 9.05379i | 0.773518 | − | 0.446591i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.242409 | − | 0.189044i | 0.0119282 | − | 0.00930225i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.13879 | + | 3.70449i | 0.104989 | + | 0.181846i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.16360 | − | 7.21157i | 0.203893 | − | 0.353152i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 30.8896i | 1.50905i | 0.656269 | + | 0.754527i | \(0.272134\pi\) | ||||
−0.656269 | + | 0.754527i | \(0.727866\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 20.0940i | − | 0.979321i | −0.871913 | − | 0.489661i | \(-0.837121\pi\) | ||
0.871913 | − | 0.489661i | \(-0.162879\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.42292 | − | 5.92866i | 0.166428 | − | 0.288262i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −14.7573 | − | 25.5604i | −0.715835 | − | 1.23986i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.98358 | − | 21.3670i | −0.144385 | − | 1.03402i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −5.01792 | + | 2.89710i | −0.242268 | + | 0.139873i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.00873 | − | 6.94333i | 0.193094 | − | 0.334448i | −0.753180 | − | 0.657814i | \(-0.771481\pi\) |
0.946274 | + | 0.323366i | \(0.104814\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −26.9812 | −1.29663 | −0.648316 | − | 0.761371i | \(-0.724527\pi\) | ||||
−0.648316 | + | 0.761371i | \(0.724527\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | − | 9.59289i | − | 0.459944i | ||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −6.24701 | − | 3.60672i | −0.298835 | − | 0.172533i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 18.2576 | + | 31.6231i | 0.871388 | + | 1.50929i | 0.860561 | + | 0.509347i | \(0.170113\pi\) |
0.0108272 | + | 0.999941i | \(0.496554\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.70552 | − | 6.78905i | 0.0812153 | − | 0.323288i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 0.190464 | − | 0.109964i | 0.00904921 | − | 0.00522457i | −0.495469 | − | 0.868626i | \(-0.665004\pi\) |
0.504518 | + | 0.863401i | \(0.331670\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.64230 | + | 3.25758i | 0.267471 | + | 0.154424i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −20.7056 | −0.979341 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 20.6799 | 0.975946 | 0.487973 | − | 0.872859i | \(-0.337736\pi\) | ||||
0.487973 | + | 0.872859i | \(0.337736\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.71990 | − | 2.14768i | −0.175163 | − | 0.101130i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.42570 | − | 1.97783i | 0.160954 | − | 0.0929266i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −57.6666 | + | 8.05227i | −2.70345 | + | 0.377496i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4.29209 | + | 7.43412i | 0.200776 | + | 0.347753i | 0.948779 | − | 0.315942i | \(-0.102320\pi\) |
−0.748003 | + | 0.663695i | \(0.768987\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.27682 | + | 1.89187i | 0.152949 | + | 0.0883051i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 13.8203i | 0.643676i | 0.946795 | + | 0.321838i | \(0.104301\pi\) | ||||
−0.946795 | + | 0.321838i | \(0.895699\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −28.8694 | −1.34168 | −0.670838 | − | 0.741604i | \(-0.734065\pi\) | ||||
−0.670838 | + | 0.741604i | \(0.734065\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 19.1656 | − | 33.1957i | 0.888782 | − | 1.53941i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −10.7682 | + | 6.21705i | −0.498295 | + | 0.287691i | −0.728009 | − | 0.685567i | \(-0.759554\pi\) |
0.229714 | + | 0.973258i | \(0.426221\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.29482 | + | 6.46876i | −0.383019 | + | 0.298700i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.93532 | + | 10.2803i | 0.273485 | + | 0.473690i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.65161 | − | 2.86067i | 0.0759411 | − | 0.131534i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 18.8347i | 0.864197i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.59176i | 0.347603i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 19.1410 | − | 33.1532i | 0.874575 | − | 1.51481i | 0.0173596 | − | 0.999849i | \(-0.494474\pi\) |
0.857215 | − | 0.514958i | \(-0.172193\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.25075 | − | 9.09456i | −0.239413 | − | 0.414676i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −7.32582 | − | 2.96740i | −0.333336 | − | 0.135021i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 37.2559 | − | 21.5097i | 1.69170 | − | 0.976704i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.902290 | + | 1.56281i | −0.0408867 | + | 0.0708178i | −0.885745 | − | 0.464173i | \(-0.846352\pi\) |
0.844858 | + | 0.534991i | \(0.179685\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −17.0530 | −0.771163 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 4.10278i | − | 0.185156i | −0.995705 | − | 0.0925780i | \(-0.970489\pi\) | ||
0.995705 | − | 0.0925780i | \(-0.0295108\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.78600 | − | 5.07260i | −0.395701 | − | 0.228458i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.68507 | + | 2.91862i | 0.0757381 | + | 0.131182i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.89940 | + | 9.62671i | −0.174912 | + | 0.431817i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −38.4522 | + | 22.2004i | −1.72135 | + | 0.993825i | −0.805197 | + | 0.593008i | \(0.797940\pi\) |
−0.916158 | + | 0.400817i | \(0.868726\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.03598 | − | 5.21693i | −0.403698 | − | 0.233075i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −8.88976 | −0.396375 | −0.198187 | − | 0.980164i | \(-0.563505\pi\) | ||||
−0.198187 | + | 0.980164i | \(0.563505\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.37202 | 0.283551 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −21.5094 | − | 12.4184i | −0.955264 | − | 0.551522i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 9.56641 | − | 5.52317i | 0.424024 | − | 0.244810i | −0.272774 | − | 0.962078i | \(-0.587941\pi\) |
0.696797 | + | 0.717268i | \(0.254608\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.1344 | − | 12.9952i | −0.448320 | − | 0.574875i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.20730 | − | 2.09110i | −0.0533035 | − | 0.0923244i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −38.4918 | − | 22.2233i | −1.69615 | − | 0.979274i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 6.44855i | − | 0.283607i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 14.5742 | 0.639735 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 16.9975 | − | 29.4406i | 0.744675 | − | 1.28982i | −0.205671 | − | 0.978621i | \(-0.565938\pi\) |
0.950346 | − | 0.311194i | \(-0.100729\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15.7706 | − | 9.10516i | 0.689601 | − | 0.398141i | −0.113862 | − | 0.993497i | \(-0.536322\pi\) |
0.803462 | + | 0.595356i | \(0.202989\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.85407 | + | 20.4395i | 0.124562 | + | 0.892055i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −20.2690 | − | 35.1070i | −0.882932 | − | 1.52928i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.03763 | − | 12.1895i | 0.305984 | − | 0.529980i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 0.116189i | − | 0.00504219i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 28.0493i | − | 1.21495i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −17.3774 | + | 30.0985i | −0.751289 | + | 1.30127i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.88980 | − | 3.27323i | −0.0815510 | − | 0.141251i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.80622 | − | 6.34156i | −0.0777995 | − | 0.273150i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 26.0940 | − | 15.0654i | 1.12187 | − | 0.647712i | 0.179992 | − | 0.983668i | \(-0.442393\pi\) |
0.941877 | + | 0.335957i | \(0.109060\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0.561816 | − | 0.973094i | 0.0241098 | − | 0.0417595i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −51.0814 | −2.18809 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 36.0927i | − | 1.54321i | −0.636101 | − | 0.771606i | \(-0.719454\pi\) | ||
0.636101 | − | 0.771606i | \(-0.280546\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −7.06184 | − | 4.07716i | −0.301392 | − | 0.174009i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.23707 | + | 5.60677i | 0.137904 | + | 0.238857i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 14.3399 | − | 2.00235i | 0.609794 | − | 0.0851485i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5.28975 | + | 3.05404i | −0.224537 | + | 0.129637i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −36.7321 | − | 21.2073i | −1.55639 | − | 0.898583i | −0.997598 | − | 0.0692757i | \(-0.977931\pi\) |
−0.558793 | − | 0.829307i | \(-0.688735\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 21.5704 | 0.912333 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.56417 | 0.150479 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 10.2656 | + | 5.92685i | 0.432644 | + | 0.249787i | 0.700472 | − | 0.713680i | \(-0.252973\pi\) |
−0.267828 | + | 0.963467i | \(0.586306\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −42.9985 | + | 24.8252i | −1.80896 | + | 1.04440i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.62703 | − | 2.08633i | −0.0683290 | − | 0.0876175i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −2.71207 | − | 4.69744i | −0.113696 | − | 0.196927i | 0.803562 | − | 0.595221i | \(-0.202936\pi\) |
−0.917258 | + | 0.398294i | \(0.869602\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.9613 | − | 9.79262i | −0.709809 | − | 0.409809i | 0.101181 | − | 0.994868i | \(-0.467738\pi\) |
−0.810990 | + | 0.585059i | \(0.801071\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 14.0300i | 0.586113i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 23.3031 | 0.971804 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.11174 | + | 5.38970i | −0.129544 | + | 0.224376i | −0.923500 | − | 0.383599i | \(-0.874685\pi\) |
0.793956 | + | 0.607975i | \(0.208018\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.675669 | + | 0.390098i | −0.0280798 | + | 0.0162119i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.93188 | − | 1.18759i | −0.121635 | − | 0.0492694i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.57560 | + | 6.19312i | 0.148086 | + | 0.256493i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −11.0037 | + | 19.0590i | −0.454947 | + | 0.787991i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | − | 0.894279i | − | 0.0369108i | −0.999830 | − | 0.0184554i | \(-0.994125\pi\) | ||
0.999830 | − | 0.0184554i | \(-0.00587487\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 25.8693i | 1.06593i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 1.18818 | − | 2.05799i | 0.0488753 | − | 0.0846545i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 11.3498 | + | 19.6584i | 0.466080 | + | 0.807275i | 0.999250 | − | 0.0387338i | \(-0.0123324\pi\) |
−0.533169 | + | 0.846009i | \(0.678999\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 33.1965 | + | 13.4466i | 1.36092 | + | 0.551256i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −11.7640 | + | 6.79196i | −0.481469 | + | 0.277976i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −19.5178 | + | 33.8058i | −0.797476 | + | 1.38127i | 0.123780 | + | 0.992310i | \(0.460498\pi\) |
−0.921255 | + | 0.388959i | \(0.872835\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.397117 | −0.0161987 | −0.00809936 | − | 0.999967i | \(-0.502578\pi\) | ||||
−0.00809936 | + | 0.999967i | \(0.502578\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.97580i | 0.161907i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −31.3335 | − | 18.0904i | −1.27389 | − | 0.735480i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.9157 | + | 18.9066i | 0.443056 | + | 0.767395i | 0.997915 | − | 0.0645493i | \(-0.0205610\pi\) |
−0.554859 | + | 0.831945i | \(0.687228\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.36249 | + | 5.59397i | 0.176777 | + | 0.226679i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 36.4682 | − | 21.0549i | 1.47535 | − | 0.851791i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 21.6460 | + | 12.4973i | 0.874275 | + | 0.504763i | 0.868767 | − | 0.495222i | \(-0.164913\pi\) |
0.00550856 | + | 0.999985i | \(0.498247\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −16.3146 | −0.657867 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −17.0538 | −0.686560 | −0.343280 | − | 0.939233i | \(-0.611538\pi\) | ||||
−0.343280 | + | 0.939233i | \(0.611538\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.32061 | − | 2.49451i | −0.173660 | − | 0.100263i | 0.410650 | − | 0.911793i | \(-0.365302\pi\) |
−0.584311 | + | 0.811530i | \(0.698635\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.58719 | + | 1.49371i | −0.103820 | + | 0.0599407i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −4.77167 | + | 0.666291i | −0.191173 | + | 0.0266944i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.57804 | + | 2.73324i | 0.0631215 | + | 0.109330i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.96975 | − | 1.13723i | −0.0786642 | − | 0.0454168i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 6.45975i | 0.257567i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.7236 | −0.625947 | −0.312973 | − | 0.949762i | \(-0.601325\pi\) | ||||
−0.312973 | + | 0.949762i | \(0.601325\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −7.09662 | + | 12.2917i | −0.282065 | + | 0.488551i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −24.0869 | + | 13.9066i | −0.955859 | + | 0.551865i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 29.9657 | − | 30.9203i | 1.18728 | − | 1.22511i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.96286 | + | 3.39977i | 0.0776495 | + | 0.134493i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −12.3353 | + | 21.3654i | −0.487216 | + | 0.843884i | −0.999892 | − | 0.0146989i | \(-0.995321\pi\) |
0.512676 | + | 0.858582i | \(0.328654\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 47.6908i | − | 1.88074i | −0.340150 | − | 0.940371i | \(-0.610478\pi\) | ||
0.340150 | − | 0.940371i | \(-0.389522\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 12.5462i | − | 0.494007i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −9.64727 | + | 16.7096i | −0.379273 | + | 0.656921i | −0.990957 | − | 0.134182i | \(-0.957159\pi\) |
0.611683 | + | 0.791103i | \(0.290493\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.0547233 | − | 0.0947835i | −0.00214808 | − | 0.00372058i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 3.92004 | + | 28.0735i | 0.153638 | + | 1.10029i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 35.9797 | − | 20.7729i | 1.40799 | − | 0.812905i | 0.412799 | − | 0.910822i | \(-0.364551\pi\) |
0.995195 | + | 0.0979172i | \(0.0312180\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.6030 | − | 21.8291i | 0.492442 | − | 0.852934i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −6.22876 | −0.243007 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 21.7026i | − | 0.845414i | −0.906266 | − | 0.422707i | \(-0.861080\pi\) | ||
0.906266 | − | 0.422707i | \(-0.138920\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −12.7886 | − | 7.38348i | −0.497417 | − | 0.287184i | 0.230229 | − | 0.973136i | \(-0.426052\pi\) |
−0.727646 | + | 0.685952i | \(0.759386\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 11.6372 | + | 20.1563i | 0.451953 | + | 0.782805i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −14.0557 | − | 18.0235i | −0.545056 | − | 0.698919i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.93691 | − | 4.00503i | 0.268598 | − | 0.155075i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.171627 | + | 0.0990889i | 0.00663548 | + | 0.00383100i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −7.68110 | −0.296526 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.09088 | 0.119145 | 0.0595724 | − | 0.998224i | \(-0.481026\pi\) | ||||
0.0595724 | + | 0.998224i | \(0.481026\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 6.75532 | + | 3.90019i | 0.260012 | + | 0.150118i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 33.6034 | − | 19.4009i | 1.29148 | − | 0.745638i | 0.312566 | − | 0.949896i | \(-0.398812\pi\) |
0.978917 | + | 0.204258i | \(0.0654782\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −11.9435 | + | 29.4857i | −0.458349 | + | 1.13156i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 12.8780 | + | 22.3054i | 0.493487 | + | 0.854744i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 22.5229 | + | 13.0036i | 0.861817 | + | 0.497570i | 0.864620 | − | 0.502426i | \(-0.167559\pi\) |
−0.00280354 | + | 0.999996i | \(0.500892\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 64.7846i | − | 2.47529i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 16.1617 | 0.616609 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −23.3491 | + | 40.4418i | −0.889530 | + | 1.54071i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.60842 | + | 4.97007i | −0.327480 | + | 0.189070i | −0.654722 | − | 0.755870i | \(-0.727214\pi\) |
0.327242 | + | 0.944941i | \(0.393881\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.30991 | − | 0.935652i | −0.0877461 | − | 0.0355425i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −14.8964 | − | 25.8013i | −0.565052 | − | 0.978698i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.62694 | + | 14.9423i | −0.326769 | + | 0.565980i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | − | 25.1239i | − | 0.950272i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 32.3250i | 1.22090i | 0.792056 | + | 0.610449i | \(0.209011\pi\) | ||||
−0.792056 | + | 0.610449i | \(0.790989\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.06114 | − | 3.57000i | 0.0777374 | − | 0.134645i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −12.2464 | − | 21.2113i | −0.461225 | − | 0.798865i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −3.71576 | + | 2.89776i | −0.139746 | + | 0.108981i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −38.2056 | + | 22.0580i | −1.43484 | + | 0.828406i | −0.997485 | − | 0.0708817i | \(-0.977419\pi\) |
−0.437357 | + | 0.899288i | \(0.644085\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.73628 | − | 4.73937i | 0.102618 | − | 0.177740i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 32.0065 | 1.19865 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 20.7303i | 0.775268i | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −13.8901 | − | 8.01946i | −0.518736 | − | 0.299492i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.22929 | − | 5.59330i | −0.120432 | − | 0.208595i | 0.799506 | − | 0.600658i | \(-0.205095\pi\) |
−0.919938 | + | 0.392063i | \(0.871761\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 32.5523 | − | 4.54544i | 1.21231 | − | 0.169281i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 11.4047 | − | 6.58453i | 0.424147 | − | 0.244881i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −18.1127 | − | 10.4574i | −0.672690 | − | 0.388378i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 25.6040 | 0.949600 | 0.474800 | − | 0.880094i | \(-0.342520\pi\) | ||||
0.474800 | + | 0.880094i | \(0.342520\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −11.4909 | − | 6.63428i | −0.425007 | − | 0.245378i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8.94596 | + | 5.16495i | −0.330426 | + | 0.190772i | −0.656030 | − | 0.754734i | \(-0.727766\pi\) |
0.325604 | + | 0.945506i | \(0.394432\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −17.9844 | − | 17.4292i | −0.663366 | − | 0.642887i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.87254 | + | 3.24333i | 0.0689757 | + | 0.119470i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −40.1335 | − | 23.1711i | −1.47633 | − | 0.852362i | −0.476691 | − | 0.879071i | \(-0.658164\pi\) |
−0.999643 | + | 0.0267085i | \(0.991497\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 14.8526i | − | 0.545623i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 38.1002 | 1.39776 | 0.698880 | − | 0.715239i | \(-0.253682\pi\) | ||||
0.698880 | + | 0.715239i | \(0.253682\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −37.0398 | + | 64.1548i | −1.35703 | + | 2.35045i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.03542 | + | 0.597802i | −0.0378841 | + | 0.0218724i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.55429 | − | 25.4542i | −0.129871 | − | 0.930075i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.76000 | − | 6.51250i | −0.137204 | − | 0.237645i | 0.789233 | − | 0.614094i | \(-0.210478\pi\) |
−0.926437 | + | 0.376449i | \(0.877145\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 4.32352 | − | 7.48855i | 0.157558 | − | 0.272898i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 14.1524i | − | 0.515059i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 41.2006i | 1.49746i | 0.662873 | + | 0.748731i | \(0.269337\pi\) | ||||
−0.662873 | + | 0.748731i | \(0.730663\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.40703 | + | 2.43705i | −0.0510720 | + | 0.0884592i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −14.3106 | − | 24.7867i | −0.518759 | − | 0.898517i | −0.999762 | − | 0.0217985i | \(-0.993061\pi\) |
0.481003 | − | 0.876719i | \(-0.340273\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 29.7875 | − | 23.2299i | 1.07838 | − | 0.840980i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 11.7237 | − | 6.76867i | 0.423871 | − | 0.244722i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.357350 | − | 0.618949i | 0.0129032 | − | 0.0223489i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −14.6303 | −0.527581 | −0.263791 | − | 0.964580i | \(-0.584973\pi\) | ||||
−0.263791 | + | 0.964580i | \(0.584973\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 14.4651i | 0.520947i | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 36.7815 | + | 21.2358i | 1.32294 | + | 0.763798i | 0.984196 | − | 0.177082i | \(-0.0566656\pi\) |
0.338741 | + | 0.940880i | \(0.389999\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −41.7855 | − | 72.3746i | −1.50098 | − | 2.59977i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.69579 | − | 4.18651i | 0.0608361 | − | 0.150190i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 9.53541 | − | 5.50527i | 0.341642 | − | 0.197247i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.20247 | + | 1.84895i | 0.114594 | + | 0.0661606i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 2.68125 | 0.0958202 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 42.4703 | 1.51583 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.55295 | − | 3.78335i | −0.233588 | − | 0.134862i | 0.378638 | − | 0.925545i | \(-0.376392\pi\) |
−0.612226 | + | 0.790683i | \(0.709726\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 17.2310 | − | 9.94833i | 0.613440 | − | 0.354170i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 13.7844 | − | 34.0306i | 0.490119 | − | 1.20999i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −25.0793 | − | 43.4386i | −0.890591 | − | 1.54255i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 23.5226 | + | 13.5808i | 0.834259 | + | 0.481660i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 11.4622i | 0.406013i | 0.979177 | + | 0.203007i | \(0.0650713\pi\) | ||||
−0.979177 | + | 0.203007i | \(0.934929\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −25.9029 | −0.916379 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.910509 | + | 1.57705i | −0.0321713 | + | 0.0557222i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −5.08122 | + | 2.93365i | −0.179312 | + | 0.103526i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −22.2993 | + | 17.3902i | −0.785947 | + | 0.612925i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −8.48299 | − | 14.6930i | −0.298616 | − | 0.517217i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −8.54103 | + | 14.7935i | −0.300287 | + | 0.520112i | −0.976201 | − | 0.216869i | \(-0.930416\pi\) |
0.675914 | + | 0.736980i | \(0.263749\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 16.6693i | 0.585338i | 0.956214 | + | 0.292669i | \(0.0945434\pi\) | ||||
−0.956214 | + | 0.292669i | \(0.905457\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.07637i | 0.0377500i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −30.5058 | + | 52.8375i | −1.06857 | + | 1.85082i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.23366 | + | 7.33291i | 0.148117 | + | 0.256546i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −2.25065 | − | 16.1181i | −0.0786439 | − | 0.563211i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −37.2593 | + | 21.5117i | −1.30036 | + | 0.750762i | −0.980465 | − | 0.196691i | \(-0.936980\pi\) |
−0.319893 | + | 0.947454i | \(0.603647\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.3255 | − | 30.0086i | 0.603928 | − | 1.04603i | −0.388292 | − | 0.921536i | \(-0.626935\pi\) |
0.992220 | − | 0.124497i | \(-0.0397317\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 7.34769 | 0.255814 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.5937i | 1.27249i | 0.771489 | + | 0.636243i | \(0.219513\pi\) | ||||
−0.771489 | + | 0.636243i | \(0.780487\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.54607 | + | 3.77938i | 0.227354 | + | 0.131263i | 0.609351 | − | 0.792901i | \(-0.291430\pi\) |
−0.381997 | + | 0.924164i | \(0.624763\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.44572 | − | 4.23611i | −0.0848410 | − | 0.146949i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −25.4731 | + | 7.25534i | −0.882592 | + | 0.251383i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −32.3286 | + | 18.6649i | −1.11878 | + | 0.645926i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 9.27835 | + | 5.35686i | 0.320707 | + | 0.185160i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 33.3899 | 1.15275 | 0.576374 | − | 0.817186i | \(-0.304467\pi\) | ||||
0.576374 | + | 0.817186i | \(0.304467\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.8109 | 0.752099 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −0.653146 | − | 0.377094i | −0.0224956 | − | 0.0129878i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −76.9553 | + | 44.4302i | −2.64734 | + | 1.52844i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 26.4986 | − | 3.70013i | 0.910503 | − | 0.127138i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 9.71510 | + | 16.8270i | 0.333421 | + | 0.577503i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −4.41694 | − | 2.55012i | −0.151411 | − | 0.0874171i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 18.6855i | − | 0.639779i | −0.947455 | − | 0.319889i | \(-0.896354\pi\) | ||
0.947455 | − | 0.319889i | \(-0.103646\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −8.63884 | −0.295442 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 15.4441 | − | 26.7499i | 0.527559 | − | 0.913759i | −0.471925 | − | 0.881639i | \(-0.656441\pi\) |
0.999484 | − | 0.0321205i | \(-0.0102260\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −35.3861 | + | 20.4302i | −1.20736 | + | 0.697069i | −0.962182 | − | 0.272409i | \(-0.912180\pi\) |
−0.245178 | + | 0.969478i | \(0.578846\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 9.51365 | − | 7.41927i | 0.324224 | − | 0.252848i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1.87676 | + | 3.25064i | 0.0638857 | + | 0.110653i | 0.896199 | − | 0.443652i | \(-0.146317\pi\) |
−0.832313 | + | 0.554305i | \(0.812984\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 26.0714 | − | 45.1571i | 0.886455 | − | 1.53539i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 2.68324i | 0.0911277i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 5.15496i | − | 0.174870i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −12.2279 | + | 21.1793i | −0.414327 | + | 0.717635i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 6.01205 | + | 10.4132i | 0.203477 | + | 0.352433i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 24.5689 | + | 9.95188i | 0.830580 | + | 0.336435i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 26.0217 | − | 15.0236i | 0.878689 | − | 0.507311i | 0.00846311 | − | 0.999964i | \(-0.497306\pi\) |
0.870226 | + | 0.492653i | \(0.163973\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −10.9717 | + | 19.0035i | −0.370065 | + | 0.640972i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 42.4160 | 1.42903 | 0.714516 | − | 0.699619i | \(-0.246647\pi\) | ||||
0.714516 | + | 0.699619i | \(0.246647\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.3124i | 0.683568i | 0.939779 | + | 0.341784i | \(0.111031\pi\) | ||||
−0.939779 | + | 0.341784i | \(0.888969\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.360005 | − | 0.207849i | −0.0121014 | − | 0.00698676i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 8.69219 | + | 15.0553i | 0.291855 | + | 0.505508i | 0.974248 | − | 0.225477i | \(-0.0723941\pi\) |
−0.682393 | + | 0.730985i | \(0.739061\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.72177 | − | 19.0633i | 0.258980 | − | 0.639362i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.815768 | + | 0.470984i | −0.0273292 | + | 0.0157785i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 14.3153 | + | 8.26496i | 0.479044 | + | 0.276576i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −13.5225 | −0.452008 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −18.3762 | −0.613563 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −24.8776 | − | 14.3631i | −0.829715 | − | 0.479036i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 24.8769 | − | 14.3627i | 0.828769 | − | 0.478490i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 5.70556 | + | 7.31617i | 0.189869 | + | 0.243467i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.01004 | − | 3.48150i | −0.0668161 | − | 0.115729i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −18.8970 | − | 10.9102i | −0.627464 | − | 0.362266i | 0.152306 | − | 0.988333i | \(-0.451330\pi\) |
−0.779769 | + | 0.626067i | \(0.784664\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 1.78101i | 0.0590723i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −11.9139 | −0.394727 | −0.197363 | − | 0.980330i | \(-0.563238\pi\) | ||||
−0.197363 | + | 0.980330i | \(0.563238\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.563109 | + | 0.975334i | −0.0186362 | + | 0.0322789i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −25.2656 | + | 14.5871i | −0.835255 | + | 0.482234i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 2.57777 | + | 18.4608i | 0.0851254 | + | 0.609629i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −18.8832 | − | 32.7067i | −0.622900 | − | 1.07890i | −0.988943 | − | 0.148297i | \(-0.952621\pi\) |
0.366042 | − | 0.930598i | \(-0.380712\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 1.09277 | − | 1.89274i | 0.0360081 | − | 0.0623679i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 24.1477i | 0.794833i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 13.3171i | 0.437863i | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 6.21150 | − | 10.7586i | 0.204012 | − | 0.353360i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 17.2547 | + | 29.8860i | 0.566108 | + | 0.980528i | 0.996946 | + | 0.0780988i | \(0.0248849\pi\) |
−0.430837 | + | 0.902430i | \(0.641782\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 16.3928 | + | 4.11814i | 0.537253 | + | 0.134967i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 23.6152 | − | 13.6343i | 0.773129 | − | 0.446366i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 6.37587 | − | 11.0433i | 0.208513 | − | 0.361156i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.63475 | 0.0860735 | 0.0430367 | − | 0.999073i | \(-0.486297\pi\) | ||||
0.0430367 | + | 0.999073i | \(0.486297\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1.36654i | 0.0445952i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 17.7673 | + | 10.2579i | 0.579197 | + | 0.334399i | 0.760814 | − | 0.648970i | \(-0.224800\pi\) |
−0.181617 | + | 0.983369i | \(0.558133\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −6.81133 | − | 11.7976i | −0.221808 | − | 0.384182i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −9.37491 | + | 1.30906i | −0.304966 | + | 0.0425839i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 27.2353 | − | 15.7243i | 0.885029 | − | 0.510972i | 0.0127161 | − | 0.999919i | \(-0.495952\pi\) |
0.872313 | + | 0.488947i | \(0.162619\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −33.1810 | − | 19.1571i | −1.07710 | − | 0.621865i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −8.19107 | −0.265614 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 7.69660 | 0.249317 | 0.124659 | − | 0.992200i | \(-0.460216\pi\) | ||||
0.124659 | + | 0.992200i | \(0.460216\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 43.4711 | + | 25.0980i | 1.40669 | + | 0.812154i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 2.18728 | − | 1.26283i | 0.0707048 | − | 0.0408214i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 29.4617 | + | 37.7784i | 0.951367 | + | 1.21993i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −41.8919 | − | 72.5589i | −1.35135 | − | 2.34061i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −8.41266 | − | 4.85705i | −0.271094 | − | 0.156516i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 2.79135i | 0.0898568i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 58.4850 | 1.88075 | 0.940375 | − | 0.340140i | \(-0.110474\pi\) | ||||
0.940375 | + | 0.340140i | \(0.110474\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −4.56811 | + | 7.91220i | −0.146749 | + | 0.254177i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 40.3828 | − | 23.3150i | 1.29595 | − | 0.748215i | 0.316245 | − | 0.948678i | \(-0.397578\pi\) |
0.979701 | + | 0.200463i | \(0.0642447\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 20.4201 | + | 8.27137i | 0.654639 | + | 0.265168i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 23.9907 | + | 41.5531i | 0.768317 | + | 1.33076i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 0.754805 | − | 1.30736i | 0.0241484 | − | 0.0418262i | −0.853699 | − | 0.520767i | \(-0.825646\pi\) |
0.877847 | + | 0.478941i | \(0.158979\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.71534i | 0.0548225i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − | 14.2775i | − | 0.455845i | ||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 11.0830 | − | 19.1964i | 0.353494 | − | 0.612270i | −0.633365 | − | 0.773853i | \(-0.718327\pi\) |
0.986859 | + | 0.161584i | \(0.0516601\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.25103 | − | 7.36301i | −0.135449 | − | 0.234605i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 16.7875 | + | 6.79993i | 0.534351 | + | 0.216444i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 9.07256 | − | 5.23805i | 0.288491 | − | 0.166560i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −28.9420 | + | 50.1291i | −0.919374 | + | 1.59240i | −0.119007 | + | 0.992893i | \(0.537971\pi\) |
−0.800368 | + | 0.599510i | \(0.795362\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 15.4318 | 0.489713 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 48.6000i | 1.54072i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 44.1522 | + | 25.4913i | 1.39831 | + | 0.807317i | 0.994216 | − | 0.107399i | \(-0.0342523\pi\) |
0.404098 | + | 0.914716i | \(0.367586\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.853618 | − | 1.47851i | −0.0270073 | − | 0.0467780i |
(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 | 672.2.bk.a.529.16 | 32 | ||
3.2 | odd | 2 | 2016.2.cr.e.1873.1 | 32 | |||
4.3 | odd | 2 | 168.2.bc.a.109.7 | yes | 32 | ||
7.2 | even | 3 | inner | 672.2.bk.a.625.1 | 32 | ||
7.3 | odd | 6 | 4704.2.c.f.2353.9 | 16 | |||
7.4 | even | 3 | 4704.2.c.e.2353.8 | 16 | |||
8.3 | odd | 2 | 168.2.bc.a.109.15 | yes | 32 | ||
8.5 | even | 2 | inner | 672.2.bk.a.529.1 | 32 | ||
12.11 | even | 2 | 504.2.cj.e.109.10 | 32 | |||
21.2 | odd | 6 | 2016.2.cr.e.1297.16 | 32 | |||
24.5 | odd | 2 | 2016.2.cr.e.1873.16 | 32 | |||
24.11 | even | 2 | 504.2.cj.e.109.2 | 32 | |||
28.3 | even | 6 | 1176.2.c.f.589.5 | 16 | |||
28.11 | odd | 6 | 1176.2.c.e.589.5 | 16 | |||
28.23 | odd | 6 | 168.2.bc.a.37.15 | yes | 32 | ||
56.3 | even | 6 | 1176.2.c.f.589.6 | 16 | |||
56.11 | odd | 6 | 1176.2.c.e.589.6 | 16 | |||
56.37 | even | 6 | inner | 672.2.bk.a.625.16 | 32 | ||
56.45 | odd | 6 | 4704.2.c.f.2353.8 | 16 | |||
56.51 | odd | 6 | 168.2.bc.a.37.7 | ✓ | 32 | ||
56.53 | even | 6 | 4704.2.c.e.2353.9 | 16 | |||
84.23 | even | 6 | 504.2.cj.e.37.2 | 32 | |||
168.107 | even | 6 | 504.2.cj.e.37.10 | 32 | |||
168.149 | odd | 6 | 2016.2.cr.e.1297.1 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.bc.a.37.7 | ✓ | 32 | 56.51 | odd | 6 | ||
168.2.bc.a.37.15 | yes | 32 | 28.23 | odd | 6 | ||
168.2.bc.a.109.7 | yes | 32 | 4.3 | odd | 2 | ||
168.2.bc.a.109.15 | yes | 32 | 8.3 | odd | 2 | ||
504.2.cj.e.37.2 | 32 | 84.23 | even | 6 | |||
504.2.cj.e.37.10 | 32 | 168.107 | even | 6 | |||
504.2.cj.e.109.2 | 32 | 24.11 | even | 2 | |||
504.2.cj.e.109.10 | 32 | 12.11 | even | 2 | |||
672.2.bk.a.529.1 | 32 | 8.5 | even | 2 | inner | ||
672.2.bk.a.529.16 | 32 | 1.1 | even | 1 | trivial | ||
672.2.bk.a.625.1 | 32 | 7.2 | even | 3 | inner | ||
672.2.bk.a.625.16 | 32 | 56.37 | even | 6 | inner | ||
1176.2.c.e.589.5 | 16 | 28.11 | odd | 6 | |||
1176.2.c.e.589.6 | 16 | 56.11 | odd | 6 | |||
1176.2.c.f.589.5 | 16 | 28.3 | even | 6 | |||
1176.2.c.f.589.6 | 16 | 56.3 | even | 6 | |||
2016.2.cr.e.1297.1 | 32 | 168.149 | odd | 6 | |||
2016.2.cr.e.1297.16 | 32 | 21.2 | odd | 6 | |||
2016.2.cr.e.1873.1 | 32 | 3.2 | odd | 2 | |||
2016.2.cr.e.1873.16 | 32 | 24.5 | odd | 2 | |||
4704.2.c.e.2353.8 | 16 | 7.4 | even | 3 | |||
4704.2.c.e.2353.9 | 16 | 56.53 | even | 6 | |||
4704.2.c.f.2353.8 | 16 | 56.45 | odd | 6 | |||
4704.2.c.f.2353.9 | 16 | 7.3 | odd | 6 |