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 | 529.10 | ||
Character | \(\chi\) | \(=\) | 672.529 |
Dual form | 672.2.bk.a.625.10 |
$q$-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 | ||||||||
\(5\) | −1.98722 | + | 1.14732i | −0.888714 | + | 0.513099i | −0.873522 | − | 0.486785i | \(-0.838169\pi\) |
−0.0151922 | + | 0.999885i | \(0.504836\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.05630 | − | 2.42574i | 0.399245 | − | 0.916844i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.36596 | + | 1.94334i | 1.01487 | + | 0.585938i | 0.912615 | − | 0.408820i | \(-0.134060\pi\) |
0.102259 | + | 0.994758i | \(0.467393\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.33413i | 0.924721i | 0.886692 | + | 0.462361i | \(0.152997\pi\) | ||||
−0.886692 | + | 0.462361i | \(0.847003\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.29465 | −0.592476 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.143560 | + | 0.248654i | −0.0348185 | + | 0.0603074i | −0.882910 | − | 0.469543i | \(-0.844419\pi\) |
0.848091 | + | 0.529851i | \(0.177752\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.41210 | − | 1.39263i | 0.553374 | − | 0.319491i | −0.197108 | − | 0.980382i | \(-0.563155\pi\) |
0.750482 | + | 0.660891i | \(0.229822\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.12766 | − | 1.57260i | 0.464293 | − | 0.343170i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.26713 | + | 5.65883i | 0.681243 | + | 1.17995i | 0.974602 | + | 0.223945i | \(0.0718935\pi\) |
−0.293359 | + | 0.956002i | \(0.594773\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.132707 | − | 0.229856i | 0.0265415 | − | 0.0459712i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.53374i | 1.02759i | 0.857913 | + | 0.513795i | \(0.171761\pi\) | ||||
−0.857913 | + | 0.513795i | \(0.828239\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.72154 | − | 6.44589i | 0.668408 | − | 1.15772i | −0.309941 | − | 0.950756i | \(-0.600309\pi\) |
0.978349 | − | 0.206961i | \(-0.0663573\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.94334 | + | 3.36596i | 0.338291 | + | 0.585938i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.684001 | + | 6.03242i | 0.115617 | + | 1.01966i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.15752 | − | 2.97769i | 0.847890 | − | 0.489530i | −0.0120481 | − | 0.999927i | \(-0.503835\pi\) |
0.859939 | + | 0.510398i | \(0.170502\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.66706 | + | 2.88744i | −0.266944 | + | 0.462361i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.51617 | −0.549134 | −0.274567 | − | 0.961568i | \(-0.588534\pi\) | ||||
−0.274567 | + | 0.961568i | \(0.588534\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 11.2465i | 1.71508i | 0.514416 | + | 0.857541i | \(0.328009\pi\) | ||||
−0.514416 | + | 0.857541i | \(0.671991\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.98722 | − | 1.14732i | −0.296238 | − | 0.171033i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.0435037 | + | 0.0753507i | 0.00634567 | + | 0.0109910i | 0.869181 | − | 0.494494i | \(-0.164647\pi\) |
−0.862835 | + | 0.505485i | \(0.831313\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.76845 | − | 5.12464i | −0.681207 | − | 0.732091i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.248654 | + | 0.143560i | −0.0348185 | + | 0.0201025i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.11258 | + | 3.52910i | 0.839627 | + | 0.484759i | 0.857137 | − | 0.515088i | \(-0.172241\pi\) |
−0.0175103 | + | 0.999847i | \(0.505574\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.91855 | −1.20258 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.78525 | 0.368916 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.76909 | − | 2.17609i | −0.490694 | − | 0.283302i | 0.234168 | − | 0.972196i | \(-0.424763\pi\) |
−0.724862 | + | 0.688894i | \(0.758097\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.20693 | + | 3.58357i | −0.794716 | + | 0.458829i | −0.841620 | − | 0.540070i | \(-0.818398\pi\) |
0.0469043 | + | 0.998899i | \(0.485064\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.62891 | − | 0.298085i | 0.331211 | − | 0.0375552i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.82533 | − | 6.62566i | −0.474474 | − | 0.821812i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11.2804 | − | 6.51276i | −1.37812 | − | 0.795661i | −0.386191 | − | 0.922419i | \(-0.626209\pi\) |
−0.991934 | + | 0.126758i | \(0.959543\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 6.53425i | 0.786631i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.18835 | 0.734421 | 0.367211 | − | 0.930138i | \(-0.380313\pi\) | ||||
0.367211 | + | 0.930138i | \(0.380313\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.93978 | − | 12.0201i | 0.812240 | − | 1.40684i | −0.0990526 | − | 0.995082i | \(-0.531581\pi\) |
0.911293 | − | 0.411759i | \(-0.135085\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.229856 | − | 0.132707i | 0.0265415 | − | 0.0153237i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 8.26950 | − | 6.11219i | 0.942397 | − | 0.696549i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.49926 | − | 7.79295i | −0.506207 | − | 0.876776i | −0.999974 | − | 0.00718179i | \(-0.997714\pi\) |
0.493767 | − | 0.869594i | \(-0.335619\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − | 17.6313i | − | 1.93529i | −0.252312 | − | 0.967646i | \(-0.581191\pi\) | ||
0.252312 | − | 0.967646i | \(-0.418809\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 0.658842i | − | 0.0714614i | ||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.76687 | + | 4.79236i | −0.296640 | + | 0.513795i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.59194 | + | 14.8817i | 0.910744 | + | 1.57745i | 0.813016 | + | 0.582242i | \(0.197824\pi\) |
0.0977280 | + | 0.995213i | \(0.468842\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.08774 | + | 3.52185i | 0.847825 | + | 0.369190i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.44589 | − | 3.72154i | 0.668408 | − | 0.385905i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.19559 | + | 5.53493i | −0.327861 | + | 0.567871i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.46528 | 0.656450 | 0.328225 | − | 0.944600i | \(-0.393550\pi\) | ||||
0.328225 | + | 0.944600i | \(0.393550\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.88667i | 0.390625i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −10.2590 | − | 5.92305i | −1.02081 | − | 0.589365i | −0.106472 | − | 0.994316i | \(-0.533955\pi\) |
−0.914339 | + | 0.404951i | \(0.867289\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.810948 | + | 1.40460i | 0.0799051 | + | 0.138400i | 0.903209 | − | 0.429201i | \(-0.141205\pi\) |
−0.823304 | + | 0.567601i | \(0.807872\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.42385 | + | 5.56623i | −0.236543 | + | 0.543208i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.35546 | − | 2.51463i | 0.421059 | − | 0.243098i | −0.274471 | − | 0.961595i | \(-0.588503\pi\) |
0.695530 | + | 0.718497i | \(0.255170\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.177033 | + | 0.102210i | 0.0169567 | + | 0.00978994i | 0.508454 | − | 0.861089i | \(-0.330217\pi\) |
−0.491498 | + | 0.870879i | \(0.663550\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.95539 | 0.565260 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −14.9203 | −1.40358 | −0.701792 | − | 0.712382i | \(-0.747616\pi\) | ||||
−0.701792 | + | 0.712382i | \(0.747616\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12.9850 | − | 7.49691i | −1.21086 | − | 0.699090i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.88744 | + | 1.66706i | −0.266944 | + | 0.154120i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.451527 | + | 0.610895i | 0.0413914 | + | 0.0560006i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.05311 | + | 3.55609i | 0.186646 | + | 0.323281i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.04509 | − | 1.75809i | −0.274567 | − | 0.158521i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 10.8642i | − | 0.971725i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.29267 | 0.558384 | 0.279192 | − | 0.960235i | \(-0.409933\pi\) | ||||
0.279192 | + | 0.960235i | \(0.409933\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.62327 | + | 9.73979i | −0.495101 | + | 0.857541i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.07470 | − | 0.620480i | 0.0938973 | − | 0.0542116i | −0.452316 | − | 0.891858i | \(-0.649402\pi\) |
0.546213 | + | 0.837646i | \(0.316069\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.830243 | − | 7.32217i | −0.0719912 | − | 0.634913i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.14732 | − | 1.98722i | −0.0987460 | − | 0.171033i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.795096 | + | 1.37715i | −0.0679296 | + | 0.117658i | −0.897990 | − | 0.440016i | \(-0.854973\pi\) |
0.830060 | + | 0.557674i | \(0.188306\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 1.02981i | − | 0.0873470i | −0.999046 | − | 0.0436735i | \(-0.986094\pi\) | ||
0.999046 | − | 0.0436735i | \(-0.0139061\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.0870075i | 0.00732735i | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −6.47933 | + | 11.2225i | −0.541829 | + | 0.938476i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.34900 | − | 10.9968i | −0.527256 | − | 0.913234i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.56728 | − | 6.82229i | −0.129267 | − | 0.562693i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −8.30672 | + | 4.79589i | −0.680513 | + | 0.392895i | −0.800048 | − | 0.599935i | \(-0.795193\pi\) |
0.119535 | + | 0.992830i | \(0.461860\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.49611 | − | 6.05544i | 0.284510 | − | 0.492785i | −0.687981 | − | 0.725729i | \(-0.741503\pi\) |
0.972490 | + | 0.232944i | \(0.0748359\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.287121 | −0.0232123 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 17.0792i | 1.37184i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.0324 | − | 8.67895i | −1.19971 | − | 0.692655i | −0.239223 | − | 0.970965i | \(-0.576893\pi\) |
−0.960492 | + | 0.278309i | \(0.910226\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.52910 | + | 6.11258i | 0.279876 | + | 0.484759i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 17.1779 | − | 1.94776i | 1.35381 | − | 0.153505i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.6156 | − | 7.86099i | 1.06646 | − | 0.615720i | 0.139247 | − | 0.990258i | \(-0.455532\pi\) |
0.927212 | + | 0.374537i | \(0.122198\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −7.72369 | − | 4.45927i | −0.601288 | − | 0.347154i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.102064 | 0.00789795 | 0.00394897 | − | 0.999992i | \(-0.498743\pi\) | ||||
0.00394897 | + | 0.999992i | \(0.498743\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.88358 | 0.144891 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.41210 | + | 1.39263i | 0.184458 | + | 0.106497i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.98126 | + | 1.14388i | −0.150633 | + | 0.0869678i | −0.573422 | − | 0.819260i | \(-0.694384\pi\) |
0.422789 | + | 0.906228i | \(0.361051\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.417392 | − | 0.564711i | −0.0315518 | − | 0.0426881i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.17609 | − | 3.76909i | −0.163565 | − | 0.283302i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −16.1281 | − | 9.31154i | −1.20547 | − | 0.695978i | −0.243702 | − | 0.969850i | \(-0.578362\pi\) |
−0.961766 | + | 0.273873i | \(0.911695\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 13.6786i | − | 1.01672i | −0.861144 | − | 0.508361i | \(-0.830252\pi\) | ||
0.861144 | − | 0.508361i | \(-0.169748\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7.16714 | −0.529810 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −6.83276 | + | 11.8347i | −0.502355 | + | 0.870104i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.966437 | + | 0.557972i | −0.0706728 | + | 0.0408030i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.42574 | + | 1.05630i | 0.176447 | + | 0.0768348i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.31729 | − | 10.9419i | −0.457103 | − | 0.791726i | 0.541703 | − | 0.840570i | \(-0.317780\pi\) |
−0.998806 | + | 0.0488436i | \(0.984446\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.30291 | + | 2.25671i | −0.0937856 | + | 0.162441i | −0.909101 | − | 0.416576i | \(-0.863230\pi\) |
0.815316 | + | 0.579017i | \(0.196563\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | − | 7.65066i | − | 0.547875i | ||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.794777i | 0.0566255i | 0.999599 | + | 0.0283127i | \(0.00901343\pi\) | ||||
−0.999599 | + | 0.0283127i | \(0.990987\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.36714 | − | 9.29616i | 0.380466 | − | 0.658987i | −0.610663 | − | 0.791891i | \(-0.709097\pi\) |
0.991129 | + | 0.132904i | \(0.0424301\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −6.51276 | − | 11.2804i | −0.459375 | − | 0.795661i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 13.4234 | + | 5.84531i | 0.942140 | + | 0.410260i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.98742 | − | 4.03419i | 0.488023 | − | 0.281760i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.26713 | + | 5.65883i | −0.227081 | + | 0.393316i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 10.8254 | 0.748807 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 0.556345i | − | 0.0383004i | −0.999817 | − | 0.0191502i | \(-0.993904\pi\) | ||
0.999817 | − | 0.0191502i | \(-0.00609607\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 5.35926 | + | 3.09417i | 0.367211 | + | 0.212009i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −12.9034 | − | 22.3494i | −0.880007 | − | 1.52422i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −11.7050 | − | 15.8363i | −0.794587 | − | 1.07504i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 12.0201 | − | 6.93978i | 0.812240 | − | 0.468947i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.829044 | − | 0.478649i | −0.0557676 | − | 0.0321974i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.1076 | −0.743820 | −0.371910 | − | 0.928269i | \(-0.621297\pi\) | ||||
−0.371910 | + | 0.928269i | \(0.621297\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.265415 | 0.0176943 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −7.59321 | − | 4.38394i | −0.503979 | − | 0.290972i | 0.226376 | − | 0.974040i | \(-0.427312\pi\) |
−0.730355 | + | 0.683068i | \(0.760645\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.9235 | + | 10.3481i | −1.18442 | + | 0.683822i | −0.957032 | − | 0.289983i | \(-0.906350\pi\) |
−0.227383 | + | 0.973805i | \(0.573017\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 10.2177 | − | 1.15856i | 0.672275 | − | 0.0762276i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.86427 | + | 4.96105i | 0.187644 | + | 0.325009i | 0.944464 | − | 0.328614i | \(-0.106581\pi\) |
−0.756820 | + | 0.653623i | \(0.773248\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.172903 | − | 0.0998258i | −0.0112790 | − | 0.00651192i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 8.99853i | − | 0.584517i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.27651 | −0.147255 | −0.0736276 | − | 0.997286i | \(-0.523458\pi\) | ||||
−0.0736276 | + | 0.997286i | \(0.523458\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.7925 | + | 20.4252i | −0.759623 | + | 1.31570i | 0.183421 | + | 0.983035i | \(0.441283\pi\) |
−0.943043 | + | 0.332670i | \(0.892050\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 15.3556 | + | 4.71285i | 0.981033 | + | 0.301093i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.64320 | + | 8.04226i | 0.295440 | + | 0.511717i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 8.81567 | − | 15.2692i | 0.558671 | − | 0.967646i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 12.4322i | 0.784716i | 0.919813 | + | 0.392358i | \(0.128341\pi\) | ||||
−0.919813 | + | 0.392358i | \(0.871659\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 25.3965i | 1.59666i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.329421 | − | 0.570574i | 0.0206291 | − | 0.0357307i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −0.141492 | − | 0.245072i | −0.00882604 | − | 0.0152871i | 0.861579 | − | 0.507624i | \(-0.169476\pi\) |
−0.870405 | + | 0.492337i | \(0.836143\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.77521 | − | 15.6562i | −0.110306 | − | 0.972826i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.79236 | + | 2.76687i | −0.296640 | + | 0.171265i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 7.15962 | − | 12.4008i | 0.441481 | − | 0.764667i | −0.556319 | − | 0.830969i | \(-0.687787\pi\) |
0.997800 | + | 0.0663018i | \(0.0211200\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −16.1961 | −0.994918 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 17.1839i | 1.05164i | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −14.5614 | − | 8.40704i | −0.887825 | − | 0.512586i | −0.0145946 | − | 0.999893i | \(-0.504646\pi\) |
−0.873230 | + | 0.487307i | \(0.837979\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.4228 | + | 23.2490i | 0.815378 | + | 1.41228i | 0.909056 | + | 0.416674i | \(0.136804\pi\) |
−0.0936779 | + | 0.995603i | \(0.529862\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5.24326 | + | 7.09388i | 0.317336 | + | 0.429341i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.893374 | − | 0.515790i | 0.0538725 | − | 0.0311033i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 19.4881 | + | 11.2515i | 1.17093 | + | 0.676036i | 0.953899 | − | 0.300129i | \(-0.0970296\pi\) |
0.217030 | + | 0.976165i | \(0.430363\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 7.44308 | 0.445605 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.8375 | 0.765824 | 0.382912 | − | 0.923785i | \(-0.374921\pi\) | ||||
0.382912 | + | 0.923785i | \(0.374921\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.32017 | + | 3.64895i | 0.375695 | + | 0.216908i | 0.675944 | − | 0.736953i | \(-0.263736\pi\) |
−0.300249 | + | 0.953861i | \(0.597070\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −5.53493 | + | 3.19559i | −0.327861 | + | 0.189290i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.71414 | + | 8.52932i | −0.219239 | + | 0.503470i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.45878 | + | 14.6510i | 0.497575 | + | 0.861826i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5.59910 | + | 3.23264i | 0.328225 | + | 0.189501i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 9.95674i | 0.581679i | 0.956772 | + | 0.290840i | \(0.0939346\pi\) | ||||
−0.956772 | + | 0.290840i | \(0.906065\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.98671 | 0.581449 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.94334 | + | 3.36596i | −0.112764 | + | 0.195313i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −18.8673 | + | 10.8930i | −1.09112 | + | 0.629959i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 27.2812 | + | 11.8798i | 1.57246 | + | 0.684738i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −5.92305 | − | 10.2590i | −0.340270 | − | 0.589365i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 8.22304 | − | 14.2427i | 0.470850 | − | 0.815536i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.9479i | 0.853122i | 0.904459 | + | 0.426561i | \(0.140275\pi\) | ||||
−0.904459 | + | 0.426561i | \(0.859725\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.62190i | 0.0922664i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −15.6295 | + | 27.0712i | −0.886270 | + | 1.53506i | −0.0420192 | + | 0.999117i | \(0.513379\pi\) |
−0.844251 | + | 0.535948i | \(0.819954\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.53234 | + | 2.65409i | 0.0866130 | + | 0.150018i | 0.906077 | − | 0.423112i | \(-0.139062\pi\) |
−0.819464 | + | 0.573130i | \(0.805729\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −4.88223 | + | 3.60857i | −0.275082 | + | 0.203320i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 14.1145 | − | 8.14904i | 0.792752 | − | 0.457695i | −0.0481787 | − | 0.998839i | \(-0.515342\pi\) |
0.840930 | + | 0.541143i | \(0.182008\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −10.7539 | + | 18.6263i | −0.602104 | + | 1.04287i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.02926 | 0.280706 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.799705i | 0.0444968i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.766369 | + | 0.442463i | 0.0425105 | + | 0.0245434i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.102210 | + | 0.177033i | 0.00565222 | + | 0.00978994i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.228734 | − | 0.0259356i | 0.0126105 | − | 0.00142988i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.39289 | + | 1.38153i | −0.131525 | + | 0.0759359i | −0.564319 | − | 0.825557i | \(-0.690861\pi\) |
0.432794 | + | 0.901493i | \(0.357528\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 5.15752 | + | 2.97769i | 0.282630 | + | 0.163177i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 29.8890 | 1.63301 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 25.8259 | 1.40682 | 0.703412 | − | 0.710782i | \(-0.251659\pi\) | ||||
0.703412 | + | 0.710782i | \(0.251659\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −12.9214 | − | 7.46015i | −0.701792 | − | 0.405180i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 25.0531 | − | 14.4644i | 1.35670 | − | 0.783291i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.4680 | + | 6.15385i | −0.943182 | + | 0.332276i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −7.49691 | − | 12.9850i | −0.403620 | − | 0.699090i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 10.6309 | + | 6.13775i | 0.570696 | + | 0.329492i | 0.757427 | − | 0.652919i | \(-0.226456\pi\) |
−0.186731 | + | 0.982411i | \(0.559789\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 0.209753i | − | 0.0112278i | −0.999984 | − | 0.00561390i | \(-0.998213\pi\) | ||
0.999984 | − | 0.00561390i | \(-0.00178697\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.33413 | −0.177963 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 9.79924 | − | 16.9728i | 0.521561 | − | 0.903370i | −0.478124 | − | 0.878292i | \(-0.658683\pi\) |
0.999685 | − | 0.0250782i | \(-0.00798347\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −12.2976 | + | 7.10004i | −0.652690 | + | 0.376831i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.0855865 | + | 0.754814i | 0.00452972 | + | 0.0399490i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −2.85556 | − | 4.94598i | −0.150711 | − | 0.261039i | 0.780778 | − | 0.624808i | \(-0.214823\pi\) |
−0.931489 | + | 0.363770i | \(0.881490\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.62118 | + | 9.73617i | −0.295852 | + | 0.512430i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4.10622i | 0.215521i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 31.8487i | 1.66704i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 14.0638 | − | 24.3591i | 0.734122 | − | 1.27154i | −0.220985 | − | 0.975277i | \(-0.570927\pi\) |
0.955107 | − | 0.296260i | \(-0.0957394\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.75809 | − | 3.04509i | −0.0915223 | − | 0.158521i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 15.0174 | − | 11.0997i | 0.779666 | − | 0.576270i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.8987 | − | 8.60176i | 0.771425 | − | 0.445382i | −0.0619580 | − | 0.998079i | \(-0.519734\pi\) |
0.833383 | + | 0.552697i | \(0.186401\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 5.43211 | − | 9.40868i | 0.280513 | − | 0.485862i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −18.4502 | −0.950234 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10.1872i | 0.523281i | 0.965165 | + | 0.261640i | \(0.0842635\pi\) | ||||
−0.965165 | + | 0.261640i | \(0.915737\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 5.44961 | + | 3.14633i | 0.279192 | + | 0.161192i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −9.92164 | − | 17.1848i | −0.506972 | − | 0.878102i | −0.999967 | − | 0.00806963i | \(-0.997431\pi\) |
0.492995 | − | 0.870032i | \(-0.335902\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.42069 | + | 21.6341i | −0.480123 | + | 1.10258i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −9.73979 | + | 5.62327i | −0.495101 | + | 0.285847i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −16.0503 | − | 9.26666i | −0.813784 | − | 0.469838i | 0.0344843 | − | 0.999405i | \(-0.489021\pi\) |
−0.848268 | + | 0.529567i | \(0.822354\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.87612 | −0.0948794 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.24096 | 0.0625982 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 17.8821 | + | 10.3242i | 0.899746 | + | 0.519468i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.91207 | − | 3.99068i | 0.346907 | − | 0.200287i | −0.316415 | − | 0.948621i | \(-0.602479\pi\) |
0.663322 | + | 0.748334i | \(0.269146\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.94207 | − | 6.75631i | 0.147288 | − | 0.338238i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −18.0210 | − | 31.2132i | −0.899925 | − | 1.55872i | −0.827589 | − | 0.561335i | \(-0.810288\pi\) |
−0.0723360 | − | 0.997380i | \(-0.523045\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 21.4914 | + | 12.4081i | 1.07056 | + | 0.618091i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | − | 2.29465i | − | 0.114022i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 23.1466 | 1.14734 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 14.7833 | − | 25.6054i | 0.730987 | − | 1.26611i | −0.225474 | − | 0.974249i | \(-0.572393\pi\) |
0.956462 | − | 0.291858i | \(-0.0942735\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.37715 | + | 0.795096i | −0.0679296 | + | 0.0392192i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −9.25993 | + | 6.84424i | −0.455652 | + | 0.336783i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 20.2289 | + | 35.0374i | 0.992996 | + | 1.71992i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.514903 | − | 0.891838i | 0.0252149 | − | 0.0436735i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 8.73304i | − | 0.426637i | −0.976983 | − | 0.213318i | \(-0.931573\pi\) | ||
0.976983 | − | 0.213318i | \(-0.0684271\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 1.77349i | − | 0.0864344i | −0.999066 | − | 0.0432172i | \(-0.986239\pi\) | ||
0.999066 | − | 0.0432172i | \(-0.0137607\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.0435037 | + | 0.0753507i | −0.00211522 | + | 0.00366368i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.0381030 | + | 0.0659964i | 0.00184827 | + | 0.00320130i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.13642 | + | 18.8417i | 0.103389 | + | 0.911816i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −11.2225 | + | 6.47933i | −0.541829 | + | 0.312825i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 14.1836 | − | 24.5667i | 0.683200 | − | 1.18334i | −0.290799 | − | 0.956784i | \(-0.593921\pi\) |
0.973999 | − | 0.226553i | \(-0.0727456\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.53217 | −0.313916 | −0.156958 | − | 0.987605i | \(-0.550169\pi\) | ||||
−0.156958 | + | 0.987605i | \(0.550169\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | − | 12.6980i | − | 0.608822i | ||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 15.7613 | + | 9.09977i | 0.753964 | + | 0.435301i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.266161 | + | 0.461004i | 0.0127032 | + | 0.0220025i | 0.872307 | − | 0.488958i | \(-0.162623\pi\) |
−0.859604 | + | 0.510961i | \(0.829290\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.05384 | − | 6.69191i | 0.0978021 | − | 0.318663i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 7.37827 | − | 4.25985i | 0.350552 | − | 0.202392i | −0.314376 | − | 0.949299i | \(-0.601795\pi\) |
0.664929 | + | 0.746907i | \(0.268462\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −34.1482 | − | 19.7155i | −1.61878 | − | 0.934604i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −9.59178 | −0.453676 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −15.0180 | −0.708745 | −0.354373 | − | 0.935104i | \(-0.615306\pi\) | ||||
−0.354373 | + | 0.935104i | \(0.615306\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.8353 | − | 6.83310i | −0.557302 | − | 0.321758i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 6.05544 | − | 3.49611i | 0.284510 | − | 0.164262i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −20.1129 | + | 2.28055i | −0.942905 | + | 0.106914i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.7276 | + | 27.2410i | 0.735705 | + | 1.27428i | 0.954413 | + | 0.298488i | \(0.0964823\pi\) |
−0.218708 | + | 0.975790i | \(0.570184\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.248654 | − | 0.143560i | −0.0116062 | − | 0.00670083i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 4.36281i | 0.203196i | 0.994826 | + | 0.101598i | \(0.0323956\pi\) | ||||
−0.994826 | + | 0.101598i | \(0.967604\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.9787 | −0.649646 | −0.324823 | − | 0.945775i | \(-0.605305\pi\) | ||||
−0.324823 | + | 0.945775i | \(0.605305\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −8.53962 | + | 14.7911i | −0.396016 | + | 0.685919i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −14.3226 | + | 8.26916i | −0.662771 | + | 0.382651i | −0.793332 | − | 0.608789i | \(-0.791655\pi\) |
0.130561 | + | 0.991440i | \(0.458322\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −27.7138 | + | 20.4840i | −1.27971 | + | 0.945862i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −8.67895 | − | 15.0324i | −0.399905 | − | 0.692655i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −21.8558 | + | 37.8554i | −1.00493 | + | 1.74059i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 0.739247i | − | 0.0339190i | ||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.05820i | 0.323173i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −0.592007 | + | 1.02539i | −0.0270495 | + | 0.0468511i | −0.879233 | − | 0.476391i | \(-0.841945\pi\) |
0.852184 | + | 0.523243i | \(0.175278\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.92801 | + | 17.1958i | 0.452679 | + | 0.784062i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 15.8504 | + | 6.90215i | 0.721218 | + | 0.314059i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −12.8480 | + | 7.41778i | −0.583396 | + | 0.336824i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −12.0448 | + | 20.8622i | −0.545801 | + | 0.945356i | 0.452755 | + | 0.891635i | \(0.350441\pi\) |
−0.998556 | + | 0.0537205i | \(0.982892\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 15.7220 | 0.710973 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 18.4971i | − | 0.834761i | −0.908732 | − | 0.417381i | \(-0.862948\pi\) | ||
0.908732 | − | 0.417381i | \(-0.137052\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.37599 | − | 0.794427i | −0.0619714 | − | 0.0357792i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.45927 | − | 7.72369i | −0.200429 | − | 0.347154i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 6.53677 | − | 15.0113i | 0.293214 | − | 0.673350i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.5034 | − | 6.06414i | 0.470197 | − | 0.271468i | −0.246125 | − | 0.969238i | \(-0.579157\pi\) |
0.716322 | + | 0.697770i | \(0.245824\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.0883900 | + | 0.0510320i | 0.00394897 | + | 0.00227994i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 7.61078 | 0.339348 | 0.169674 | − | 0.985500i | \(-0.445729\pi\) | ||||
0.169674 | + | 0.985500i | \(0.445729\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 27.1826 | 1.20961 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.63123 | + | 0.941791i | 0.0724455 | + | 0.0418264i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −13.9392 | + | 8.04779i | −0.617844 | + | 0.356712i | −0.776029 | − | 0.630697i | \(-0.782769\pi\) |
0.158185 | + | 0.987409i | \(0.449436\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −21.8270 | − | 29.5309i | −0.965571 | − | 1.30637i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.39263 | + | 2.41210i | 0.0614860 | + | 0.106497i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −3.22307 | − | 1.86084i | −0.142025 | − | 0.0819985i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.338169i | 0.0148727i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −2.28777 | −0.100422 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 9.64668 | − | 16.7085i | 0.422629 | − | 0.732015i | −0.573567 | − | 0.819159i | \(-0.694441\pi\) |
0.996196 | + | 0.0871440i | \(0.0277740\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 27.9337 | − | 16.1275i | 1.22146 | − | 0.705208i | 0.256227 | − | 0.966617i | \(-0.417520\pi\) |
0.965228 | + | 0.261409i | \(0.0841871\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.0791162 | − | 0.697750i | −0.00345291 | − | 0.0304523i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.06853 | + | 1.85075i | 0.0465459 | + | 0.0806199i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.84821 | + | 17.0576i | −0.428183 | + | 0.741635i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 4.35217i | − | 0.188868i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 11.7234i | − | 0.507796i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.77019 | + | 9.99426i | −0.249467 | + | 0.432090i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −9.31154 | − | 16.1281i | −0.401823 | − | 0.695978i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −6.09149 | − | 26.5160i | −0.262379 | − | 1.14213i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.45438 | − | 1.99439i | 0.148515 | − | 0.0857454i | −0.423901 | − | 0.905709i | \(-0.639340\pi\) |
0.572416 | + | 0.819963i | \(0.306006\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.83930 | − | 11.8460i | 0.293502 | − | 0.508361i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.469072 | −0.0200928 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 12.1824i | − | 0.520882i | −0.965490 | − | 0.260441i | \(-0.916132\pi\) | ||
0.965490 | − | 0.260441i | \(-0.0838679\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −6.20693 | − | 3.58357i | −0.264905 | − | 0.152943i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 7.70644 | + | 13.3479i | 0.328305 | + | 0.568642i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −23.6563 | + | 2.68233i | −1.00597 | + | 0.114064i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −11.8347 | + | 6.83276i | −0.502355 | + | 0.290035i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −2.58791 | − | 1.49413i | −0.109653 | − | 0.0633084i | 0.444170 | − | 0.895942i | \(-0.353498\pi\) |
−0.553824 | + | 0.832634i | \(0.686832\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −37.4974 | −1.58597 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.11594 | −0.0471152 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −3.82170 | − | 2.20646i | −0.161065 | − | 0.0929911i | 0.417301 | − | 0.908768i | \(-0.362976\pi\) |
−0.578366 | + | 0.815777i | \(0.696309\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 29.6500 | − | 17.1184i | 1.24738 | − | 0.720177i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.57260 | + | 2.12766i | 0.0660431 | + | 0.0893532i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 6.15432 | + | 10.6596i | 0.258002 | + | 0.446873i | 0.965707 | − | 0.259635i | \(-0.0836024\pi\) |
−0.707704 | + | 0.706509i | \(0.750269\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 26.2766 | + | 15.1708i | 1.09964 | + | 0.634877i | 0.936126 | − | 0.351664i | \(-0.114384\pi\) |
0.163513 | + | 0.986541i | \(0.447717\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 12.6346i | − | 0.527818i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.73429 | 0.0723247 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.02559 | − | 10.4366i | 0.250848 | − | 0.434482i | −0.712911 | − | 0.701254i | \(-0.752624\pi\) |
0.963760 | + | 0.266772i | \(0.0859571\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −2.25671 | + | 1.30291i | −0.0937856 | + | 0.0541471i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −42.7691 | − | 18.6241i | −1.77436 | − | 0.772656i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 13.7164 | + | 23.7576i | 0.568077 | + | 0.983939i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.82533 | − | 6.62566i | 0.158158 | − | 0.273937i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 5.34331i | 0.220542i | 0.993902 | + | 0.110271i | \(0.0351719\pi\) | ||||
−0.993902 | + | 0.110271i | \(0.964828\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 20.7309i | − | 0.854200i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.397388 | + | 0.688297i | −0.0163464 | + | 0.0283127i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −4.74530 | − | 8.21910i | −0.194866 | − | 0.337518i | 0.751991 | − | 0.659174i | \(-0.229094\pi\) |
−0.946857 | + | 0.321656i | \(0.895761\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.59818 | − | 0.695937i | −0.0655190 | − | 0.0285306i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 9.29616 | − | 5.36714i | 0.380466 | − | 0.219662i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −3.86976 | + | 6.70262i | −0.158114 | + | 0.273861i | −0.934189 | − | 0.356780i | \(-0.883875\pi\) |
0.776075 | + | 0.630641i | \(0.217208\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.0198 | −0.775835 | −0.387917 | − | 0.921694i | \(-0.626805\pi\) | ||||
−0.387917 | + | 0.921694i | \(0.626805\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 13.0255i | − | 0.530440i | ||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −8.15998 | − | 4.71117i | −0.331751 | − | 0.191536i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.59791 | + | 7.96381i | 0.186623 | + | 0.323241i | 0.944122 | − | 0.329595i | \(-0.106912\pi\) |
−0.757499 | + | 0.652836i | \(0.773579\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 8.70238 | + | 11.7739i | 0.352638 | + | 0.477103i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.251229 | + | 0.145047i | −0.0101636 | + | 0.00586798i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −22.8688 | − | 13.2033i | −0.923663 | − | 0.533277i | −0.0388615 | − | 0.999245i | \(-0.512373\pi\) |
−0.884802 | + | 0.465967i | \(0.845706\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 8.06838 | 0.325348 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −45.5837 | −1.83513 | −0.917565 | − | 0.397585i | \(-0.869848\pi\) | ||||
−0.917565 | + | 0.397585i | \(0.869848\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −42.4644 | − | 24.5168i | −1.70679 | − | 0.985415i | −0.938479 | − | 0.345337i | \(-0.887765\pi\) |
−0.768310 | − | 0.640078i | \(-0.778902\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.65883 | + | 3.26713i | −0.227081 | + | 0.131105i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 45.1748 | − | 5.12226i | 1.80989 | − | 0.205219i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.1283 | + | 22.7389i | 0.525133 | + | 0.909556i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 9.37505 | + | 5.41269i | 0.374403 | + | 0.216162i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 1.70992i | 0.0681788i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.5801 | 0.500804 | 0.250402 | − | 0.968142i | \(-0.419437\pi\) | ||||
0.250402 | + | 0.968142i | \(0.419437\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.278173 | − | 0.481809i | 0.0110564 | − | 0.0191502i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −12.5049 | + | 7.21973i | −0.496244 | + | 0.286506i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 17.0862 | − | 15.8986i | 0.676980 | − | 0.629926i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 3.09417 | + | 5.35926i | 0.122404 | + | 0.212009i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 17.1129 | − | 29.6404i | 0.675920 | − | 1.17073i | −0.300280 | − | 0.953851i | \(-0.597080\pi\) |
0.976199 | − | 0.216876i | \(-0.0695867\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 23.0442i | − | 0.908776i | −0.890804 | − | 0.454388i | \(-0.849858\pi\) | ||
0.890804 | − | 0.454388i | \(-0.150142\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 25.8069i | − | 1.01614i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 7.79098 | − | 13.4944i | 0.306295 | − | 0.530519i | −0.671254 | − | 0.741228i | \(-0.734244\pi\) |
0.977549 | + | 0.210709i | \(0.0675773\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.45774 | − | 14.6492i | −0.331995 | − | 0.575033i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.21867 | − | 19.5671i | −0.0869566 | − | 0.766897i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 42.6318 | − | 24.6135i | 1.66831 | − | 0.963199i | 0.699761 | − | 0.714377i | \(-0.253290\pi\) |
0.968549 | − | 0.248822i | \(-0.0800434\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.42378 | + | 2.46607i | −0.0556319 | + | 0.0963572i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 13.8796 | 0.541493 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 5.33204i | − | 0.207707i | −0.994593 | − | 0.103853i | \(-0.966883\pi\) | ||
0.994593 | − | 0.103853i | \(-0.0331173\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 33.5057 | + | 19.3445i | 1.30322 | + | 0.752416i | 0.980955 | − | 0.194233i | \(-0.0622219\pi\) |
0.322267 | + | 0.946649i | \(0.395555\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.478649 | − | 0.829044i | −0.0185892 | − | 0.0321974i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 10.0508 | + | 13.5982i | 0.389753 | + | 0.527317i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −31.3145 | + | 18.0794i | −1.21250 | + | 0.700038i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −9.61947 | − | 5.55380i | −0.371910 | − | 0.214722i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −27.8563 | −1.07538 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −9.56678 | −0.368772 | −0.184386 | − | 0.982854i | \(-0.559030\pi\) | ||||
−0.184386 | + | 0.982854i | \(0.559030\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.229856 | + | 0.132707i | 0.00884715 | + | 0.00510791i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −15.3536 | + | 8.86439i | −0.590086 | + | 0.340686i | −0.765131 | − | 0.643874i | \(-0.777326\pi\) |
0.175046 | + | 0.984560i | \(0.443993\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.82930 | − | 15.6831i | 0.262084 | − | 0.601862i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −4.38394 | − | 7.59321i | −0.167993 | − | 0.290972i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.59766 | − | 4.38651i | −0.290716 | − | 0.167845i | 0.347549 | − | 0.937662i | \(-0.387014\pi\) |
−0.638265 | + | 0.769817i | \(0.720348\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 3.64893i | − | 0.139418i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −20.6962 | −0.789610 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −11.7665 | + | 20.3801i | −0.448267 | + | 0.776421i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −18.5176 | + | 10.6911i | −0.704443 | + | 0.406710i | −0.809000 | − | 0.587809i | \(-0.799991\pi\) |
0.104557 | + | 0.994519i | \(0.466657\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 9.42806 | + | 4.10551i | 0.358143 | + | 0.155955i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.18152 | + | 2.04646i | 0.0448177 | + | 0.0776265i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.504783 | − | 0.874310i | 0.0191200 | − | 0.0331169i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 5.72853i | 0.216673i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 13.4233i | 0.506990i | 0.967337 | + | 0.253495i | \(0.0815802\pi\) | ||||
−0.967337 | + | 0.253495i | \(0.918420\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 8.29363 | − | 14.3650i | 0.312800 | − | 0.541786i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.0998258 | − | 0.172903i | −0.00375966 | − | 0.00651192i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −25.2044 | + | 18.6292i | −0.947910 | + | 0.700623i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −43.8660 | + | 25.3260i | −1.64742 | + | 0.951139i | −0.669330 | + | 0.742965i | \(0.733419\pi\) |
−0.978092 | + | 0.208174i | \(0.933248\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.49926 | − | 7.79295i | 0.168736 | − | 0.292259i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 48.6349 | 1.82139 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 29.7356i | − | 1.11205i | ||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.97152 | − | 1.13826i | −0.0736276 | − | 0.0425089i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 14.4800 | + | 25.0801i | 0.540013 | + | 0.935330i | 0.998903 | + | 0.0468366i | \(0.0149140\pi\) |
−0.458890 | + | 0.888493i | \(0.651753\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.26381 | − | 0.483463i | 0.158793 | − | 0.0180051i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −20.4252 | + | 11.7925i | −0.759623 | + | 0.438568i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.27196 | + | 0.734368i | 0.0472395 | + | 0.0272738i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.5092 | 0.389766 | 0.194883 | − | 0.980827i | \(-0.437567\pi\) | ||||
0.194883 | + | 0.980827i | \(0.437567\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −2.79650 | − | 1.61456i | −0.103432 | − | 0.0597166i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.3360 | − | 14.0504i | 0.898871 | − | 0.518963i | 0.0220370 | − | 0.999757i | \(-0.492985\pi\) |
0.876834 | + | 0.480794i | \(0.159651\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 10.9419 | + | 11.7592i | 0.403598 | + | 0.433746i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −25.3130 | − | 43.8434i | −0.932415 | − | 1.61499i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −30.1856 | − | 17.4276i | −1.11039 | − | 0.641086i | −0.171463 | − | 0.985191i | \(-0.554849\pi\) |
−0.938931 | + | 0.344104i | \(0.888183\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 9.28640i | 0.341144i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −38.4805 | −1.41171 | −0.705857 | − | 0.708354i | \(-0.749438\pi\) | ||||
−0.705857 | + | 0.708354i | \(0.749438\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 11.0049 | − | 19.0610i | 0.403188 | − | 0.698342i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 15.2692 | − | 8.81567i | 0.558671 | − | 0.322549i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.49915 | − | 13.2214i | −0.0547777 | − | 0.483101i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.0112661 | + | 0.0195135i | 0.000411106 | + | 0.000712057i | 0.866231 | − | 0.499644i | \(-0.166536\pi\) |
−0.865820 | + | 0.500356i | \(0.833202\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −6.21612 | + | 10.7666i | −0.226528 | + | 0.392358i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 16.0447i | 0.583926i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 30.0479i | − | 1.09211i | −0.837749 | − | 0.546055i | \(-0.816129\pi\) | ||
0.837749 | − | 0.546055i | \(-0.183871\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −12.6982 | + | 21.9940i | −0.460917 | + | 0.798332i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 8.58063 | + | 14.8621i | 0.311048 | + | 0.538751i | 0.978589 | − | 0.205822i | \(-0.0659867\pi\) |
−0.667542 | + | 0.744572i | \(0.732653\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.434935 | − | 0.321471i | 0.0157457 | − | 0.0116380i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.570574 | − | 0.329421i | 0.0206291 | − | 0.0119102i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 7.25536 | − | 12.5666i | 0.261976 | − | 0.453755i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −47.2945 | −1.70548 | −0.852742 | − | 0.522332i | \(-0.825062\pi\) | ||||
−0.852742 | + | 0.522332i | \(0.825062\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 0.282984i | − | 0.0101914i | ||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 37.0445 | + | 21.3877i | 1.33240 | + | 0.769260i | 0.985667 | − | 0.168704i | \(-0.0539582\pi\) |
0.346731 | + | 0.937964i | \(0.387292\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.987751 | − | 1.71083i | −0.0354810 | − | 0.0614550i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 6.29070 | − | 14.4462i | 0.225677 | − | 0.518256i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −8.48136 | + | 4.89672i | −0.303876 | + | 0.175443i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 20.8297 | + | 12.0260i | 0.745345 | + | 0.430325i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.53374 | −0.197760 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 39.8303 | 1.42160 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 42.8358 | + | 24.7312i | 1.52693 | + | 0.881574i | 0.999488 | + | 0.0319826i | \(0.0101821\pi\) |
0.527442 | + | 0.849591i | \(0.323151\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 12.4008 | − | 7.15962i | 0.441481 | − | 0.254889i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −15.7604 | + | 36.1928i | −0.560374 | + | 1.28687i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.9481 | − | 20.6947i | −0.424289 | − | 0.734890i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −14.0262 | − | 8.09804i | −0.497459 | − | 0.287208i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 13.3755i | − | 0.473783i | −0.971536 | − | 0.236892i | \(-0.923871\pi\) | ||
0.971536 | − | 0.236892i | \(-0.0761286\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.0249817 | −0.000883788 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.59194 | + | 14.8817i | −0.303581 | + | 0.525818i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 46.7180 | − | 26.9727i | 1.64864 | − | 0.951845i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −31.9017 | + | 23.5793i | −1.12439 | + | 0.831061i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −8.40704 | − | 14.5614i | −0.295942 | − | 0.512586i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −7.11266 | + | 12.3195i | −0.250068 | + | 0.433130i | −0.963544 | − | 0.267549i | \(-0.913786\pi\) |
0.713476 | + | 0.700679i | \(0.247120\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 20.7849i | − | 0.729855i | −0.931036 | − | 0.364928i | \(-0.881094\pi\) | ||
0.931036 | − | 0.364928i | \(-0.118906\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 26.8456i | 0.941518i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −18.0382 | + | 31.2431i | −0.631851 | + | 1.09440i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 15.6622 | + | 27.1278i | 0.547952 | + | 0.949081i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.993855 | + | 8.76511i | 0.0347281 | + | 0.306278i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 4.29903 | − | 2.48205i | 0.150037 | − | 0.0866241i | −0.423102 | − | 0.906082i | \(-0.639059\pi\) |
0.573139 | + | 0.819458i | \(0.305725\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.91749 | − | 8.51734i | 0.171413 | − | 0.296896i | −0.767501 | − | 0.641048i | \(-0.778500\pi\) |
0.938914 | + | 0.344152i | \(0.111833\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.03158 | 0.0359150 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 41.4331i | − | 1.44077i | −0.693574 | − | 0.720385i | \(-0.743965\pi\) | ||
0.693574 | − | 0.720385i | \(-0.256035\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −21.6531 | − | 12.5014i | −0.752044 | − | 0.434193i | 0.0743878 | − | 0.997229i | \(-0.476300\pi\) |
−0.826432 | + | 0.563036i | \(0.809633\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 11.2515 | + | 19.4881i | 0.390310 | + | 0.676036i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 1.95882 | − | 0.449998i | 0.0678692 | − | 0.0155915i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.202824 | + | 0.117100i | −0.00701901 | + | 0.00405243i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 6.44589 | + | 3.72154i | 0.222803 | + | 0.128635i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −2.43551 | −0.0840833 | −0.0420416 | − | 0.999116i | \(-0.513386\pi\) | ||||
−0.0420416 | + | 0.999116i | \(0.513386\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.62232 | −0.0559420 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 11.1176 | + | 6.41877i | 0.382912 | + | 0.221074i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −3.74310 | + | 2.16108i | −0.128767 | + | 0.0743434i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 10.7949 | − | 1.22400i | 0.370916 | − | 0.0420573i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 3.64895 | + | 6.32017i | 0.125232 | + | 0.216908i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 33.7005 | + | 19.4570i | 1.15524 | + | 0.666977i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 51.1404i | 1.75101i | 0.483206 | + | 0.875507i | \(0.339472\pi\) | ||||
−0.483206 | + | 0.875507i | \(0.660528\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −6.39118 | −0.218574 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −26.7314 | + | 46.3001i | −0.913127 | + | 1.58158i | −0.103506 | + | 0.994629i | \(0.533006\pi\) |
−0.809621 | + | 0.586954i | \(0.800327\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.3724 | + | 8.29790i | −0.490380 | + | 0.283121i | −0.724732 | − | 0.689031i | \(-0.758036\pi\) |
0.234352 | + | 0.972152i | \(0.424703\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −7.48121 | + | 5.52954i | −0.254959 | + | 0.188446i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −20.4256 | − | 35.3782i | −0.695296 | − | 1.20429i | −0.970081 | − | 0.242782i | \(-0.921940\pi\) |
0.274785 | − | 0.961506i | \(-0.411393\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.62481 | − | 4.54631i | 0.0892463 | − | 0.154579i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 16.9176i | 0.574551i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 34.9743i | − | 1.18642i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 21.7144 | − | 37.6104i | 0.735764 | − | 1.27438i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 3.23264 | + | 5.59910i | 0.109408 | + | 0.189501i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −26.3538 | − | 11.4759i | −0.890920 | − | 0.387956i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.31595 | − | 0.759763i | 0.0444364 | − | 0.0256554i | −0.477617 | − | 0.878568i | \(-0.658499\pi\) |
0.522054 | + | 0.852913i | \(0.325166\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −4.97837 | + | 8.62279i | −0.167916 | + | 0.290840i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 12.3299 | 0.415406 | 0.207703 | − | 0.978192i | \(-0.433401\pi\) | ||||
0.207703 | + | 0.978192i | \(0.433401\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.0145i | 0.404319i | 0.979353 | + | 0.202159i | \(0.0647959\pi\) | ||||
−0.979353 | + | 0.202159i | \(0.935204\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 8.64875 | + | 4.99336i | 0.290724 | + | 0.167850i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −11.5240 | − | 19.9601i | −0.386938 | − | 0.670196i | 0.605098 | − | 0.796151i | \(-0.293134\pi\) |
−0.992036 | + | 0.125955i | \(0.959800\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.64697 | − | 15.2644i | 0.222932 | − | 0.511951i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.36596 | + | 1.94334i | −0.112764 | + | 0.0651042i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.209871 | + | 0.121169i | 0.00702306 | + | 0.00405476i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 42.7335 | 1.42842 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −21.7860 | −0.727415 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 35.6699 | + | 20.5940i | 1.18966 | + | 0.686850i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.75505 | + | 1.01328i | −0.0584692 | + | 0.0337572i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 17.6863 | + | 23.9288i | 0.588564 | + | 0.796300i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 15.6938 | + | 27.1824i | 0.521679 | + | 0.903575i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 28.3744 | + | 16.3820i | 0.942156 | + | 0.543954i | 0.890635 | − | 0.454718i | \(-0.150260\pi\) |
0.0515204 | + | 0.998672i | \(0.483593\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | − | 11.8461i | − | 0.392910i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −35.5607 | −1.17818 | −0.589090 | − | 0.808067i | \(-0.700514\pi\) | ||||
−0.589090 | + | 0.808067i | \(0.700514\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 34.2636 | − | 59.3464i | 1.13396 | − | 1.96408i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 14.2427 | − | 8.22304i | 0.470850 | − | 0.271845i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −0.369912 | − | 3.26237i | −0.0122156 | − | 0.107733i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −13.7621 | − | 23.8366i | −0.453969 | − | 0.786297i | 0.544660 | − | 0.838657i | \(-0.316659\pi\) |
−0.998628 | + | 0.0523606i | \(0.983325\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −7.47395 | + | 12.9453i | −0.246275 | + | 0.426561i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 20.6327i | 0.679135i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 1.58065i | − | 0.0519713i | ||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.810948 | + | 1.40460i | −0.0266350 | + | 0.0461332i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −17.4740 | − | 30.2659i | −0.573303 | − | 0.992991i | −0.996224 | − | 0.0868237i | \(-0.972328\pi\) |
0.422920 | − | 0.906167i | \(-0.361005\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −18.6387 | − | 5.72048i | −0.610858 | − | 0.187481i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −27.0712 | + | 15.6295i | −0.886270 | + | 0.511688i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.28035 | − | 2.21763i | 0.0418719 | − | 0.0725243i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 17.7423 | 0.579615 | 0.289807 | − | 0.957085i | \(-0.406409\pi\) | ||||
0.289807 | + | 0.957085i | \(0.406409\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 3.06468i | 0.100012i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 19.5486 | + | 11.2864i | 0.637267 | + | 0.367926i | 0.783561 | − | 0.621315i | \(-0.213401\pi\) |
−0.146294 | + | 0.989241i | \(0.546735\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −11.4878 | − | 19.8974i | −0.374093 | − | 0.647949i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −6.03242 | + | 0.684001i | −0.196235 | + | 0.0222506i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −23.6178 | + | 13.6357i | −0.767474 | + | 0.443102i | −0.831973 | − | 0.554816i | \(-0.812789\pi\) |
0.0644985 | + | 0.997918i | \(0.479455\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 40.0764 | + | 23.1381i | 1.30094 | + | 0.751096i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 16.2981 | 0.528501 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −5.90986 | −0.191439 | −0.0957196 | − | 0.995408i | \(-0.530515\pi\) | ||||
−0.0957196 | + | 0.995408i | \(0.530515\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 25.1078 | + | 14.4960i | 0.812468 | + | 0.469079i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −18.6263 | + | 10.7539i | −0.602104 | + | 0.347625i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.50074 | + | 3.38338i | 0.0807531 | + | 0.109255i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −12.1997 | − | 21.1305i | −0.393538 | − | 0.681628i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.35546 | + | 2.51463i | 0.140353 | + | 0.0810328i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | − | 5.97945i | − | 0.192485i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −14.0032 | −0.450312 | −0.225156 | − | 0.974323i | \(-0.572289\pi\) | ||||
−0.225156 | + | 0.974323i | \(0.572289\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.399852 | + | 0.692565i | −0.0128451 | + | 0.0222484i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.91244 | − | 4.56825i | 0.253922 | − | 0.146602i | −0.367637 | − | 0.929970i | \(-0.619833\pi\) |
0.621559 | + | 0.783367i | \(0.286500\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.49804 | − | 1.08779i | −0.0800836 | − | 0.0348729i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.442463 | + | 0.766369i | 0.0141702 | + | 0.0245434i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −10.5767 | + | 18.3194i | −0.338379 | + | 0.586090i | −0.984128 | − | 0.177460i | \(-0.943212\pi\) |
0.645749 | + | 0.763550i | \(0.276545\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 66.7881i | 2.13456i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.204420i | 0.00652662i | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 23.2004 | − | 40.1843i | 0.739979 | − | 1.28168i | −0.212526 | − | 0.977156i | \(-0.568169\pi\) |
0.952504 | − | 0.304525i | \(-0.0984978\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.911867 | − | 1.57940i | −0.0290545 | − | 0.0503239i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.211058 | + | 0.0919063i | 0.00671804 | + | 0.00292541i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −63.6422 | + | 36.7439i | −2.02370 | + | 1.16839i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.29280 | − | 2.23920i | 0.0410672 | − | 0.0711305i | −0.844761 | − | 0.535143i | \(-0.820258\pi\) |
0.885828 | + | 0.464013i | \(0.153591\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −2.76307 | −0.0876833 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 24.6314i | 0.780868i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −17.9557 | − | 10.3667i | −0.568662 | − | 0.328317i | 0.187953 | − | 0.982178i | \(-0.439815\pi\) |
−0.756615 | + | 0.653861i | \(0.773148\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.97769 | + | 5.15752i | 0.0942101 | + | 0.163177i |
(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.529.10 | 32 | ||
3.2 | odd | 2 | 2016.2.cr.e.1873.13 | 32 | |||
4.3 | odd | 2 | 168.2.bc.a.109.6 | yes | 32 | ||
7.2 | even | 3 | inner | 672.2.bk.a.625.7 | 32 | ||
7.3 | odd | 6 | 4704.2.c.f.2353.15 | 16 | |||
7.4 | even | 3 | 4704.2.c.e.2353.2 | 16 | |||
8.3 | odd | 2 | 168.2.bc.a.109.5 | yes | 32 | ||
8.5 | even | 2 | inner | 672.2.bk.a.529.7 | 32 | ||
12.11 | even | 2 | 504.2.cj.e.109.11 | 32 | |||
21.2 | odd | 6 | 2016.2.cr.e.1297.4 | 32 | |||
24.5 | odd | 2 | 2016.2.cr.e.1873.4 | 32 | |||
24.11 | even | 2 | 504.2.cj.e.109.12 | 32 | |||
28.3 | even | 6 | 1176.2.c.f.589.16 | 16 | |||
28.11 | odd | 6 | 1176.2.c.e.589.16 | 16 | |||
28.23 | odd | 6 | 168.2.bc.a.37.5 | ✓ | 32 | ||
56.3 | even | 6 | 1176.2.c.f.589.15 | 16 | |||
56.11 | odd | 6 | 1176.2.c.e.589.15 | 16 | |||
56.37 | even | 6 | inner | 672.2.bk.a.625.10 | 32 | ||
56.45 | odd | 6 | 4704.2.c.f.2353.2 | 16 | |||
56.51 | odd | 6 | 168.2.bc.a.37.6 | yes | 32 | ||
56.53 | even | 6 | 4704.2.c.e.2353.15 | 16 | |||
84.23 | even | 6 | 504.2.cj.e.37.12 | 32 | |||
168.107 | even | 6 | 504.2.cj.e.37.11 | 32 | |||
168.149 | odd | 6 | 2016.2.cr.e.1297.13 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.bc.a.37.5 | ✓ | 32 | 28.23 | odd | 6 | ||
168.2.bc.a.37.6 | yes | 32 | 56.51 | odd | 6 | ||
168.2.bc.a.109.5 | yes | 32 | 8.3 | odd | 2 | ||
168.2.bc.a.109.6 | yes | 32 | 4.3 | odd | 2 | ||
504.2.cj.e.37.11 | 32 | 168.107 | even | 6 | |||
504.2.cj.e.37.12 | 32 | 84.23 | even | 6 | |||
504.2.cj.e.109.11 | 32 | 12.11 | even | 2 | |||
504.2.cj.e.109.12 | 32 | 24.11 | even | 2 | |||
672.2.bk.a.529.7 | 32 | 8.5 | even | 2 | inner | ||
672.2.bk.a.529.10 | 32 | 1.1 | even | 1 | trivial | ||
672.2.bk.a.625.7 | 32 | 7.2 | even | 3 | inner | ||
672.2.bk.a.625.10 | 32 | 56.37 | even | 6 | inner | ||
1176.2.c.e.589.15 | 16 | 56.11 | odd | 6 | |||
1176.2.c.e.589.16 | 16 | 28.11 | odd | 6 | |||
1176.2.c.f.589.15 | 16 | 56.3 | even | 6 | |||
1176.2.c.f.589.16 | 16 | 28.3 | even | 6 | |||
2016.2.cr.e.1297.4 | 32 | 21.2 | odd | 6 | |||
2016.2.cr.e.1297.13 | 32 | 168.149 | odd | 6 | |||
2016.2.cr.e.1873.4 | 32 | 24.5 | odd | 2 | |||
2016.2.cr.e.1873.13 | 32 | 3.2 | odd | 2 | |||
4704.2.c.e.2353.2 | 16 | 7.4 | even | 3 | |||
4704.2.c.e.2353.15 | 16 | 56.53 | even | 6 | |||
4704.2.c.f.2353.2 | 16 | 56.45 | odd | 6 | |||
4704.2.c.f.2353.15 | 16 | 7.3 | odd | 6 |