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 | 529.7 | ||
Character | \(\chi\) | \(=\) | 672.529 |
Dual form | 672.2.bk.a.625.7 |
$q$-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 | 0.0151922 | − | 0.999885i | \(-0.495164\pi\) |
0.873522 | + | 0.486785i | \(0.161831\pi\) | |||||||
\(6\) | 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 | −0.102259 | − | 0.994758i | \(-0.532607\pi\) |
−0.912615 | + | 0.408820i | \(0.865940\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 3.33413i | − | 0.924721i | −0.886692 | − | 0.462361i | \(-0.847003\pi\) | ||
0.886692 | − | 0.462361i | \(-0.152997\pi\) | |||||||
\(14\) | 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 | −0.750482 | − | 0.660891i | \(-0.770178\pi\) |
0.197108 | + | 0.980382i | \(0.436845\pi\) | |||||||
\(20\) | 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 | \(-0.828239\pi\) | ||
0.857913 | − | 0.513795i | \(-0.171761\pi\) | |||||||
\(30\) | 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 | −0.859939 | − | 0.510398i | \(-0.829498\pi\) |
0.0120481 | + | 0.999927i | \(0.496165\pi\) | |||||||
\(38\) | 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 | \(-0.671991\pi\) | ||
0.514416 | − | 0.857541i | \(-0.328009\pi\) | |||||||
\(44\) | 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 | 0.0175103 | − | 0.999847i | \(-0.494426\pi\) |
−0.857137 | + | 0.515088i | \(0.827759\pi\) | |||||||
\(54\) | 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 | 0.724862 | − | 0.688894i | \(-0.241903\pi\) |
−0.234168 | + | 0.972196i | \(0.575237\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.20693 | − | 3.58357i | 0.794716 | − | 0.458829i | −0.0469043 | − | 0.998899i | \(-0.514936\pi\) |
0.841620 | + | 0.540070i | \(0.181602\pi\) | |||||||
\(62\) | 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 | 0.991934 | − | 0.126758i | \(-0.0404573\pi\) |
0.386191 | + | 0.922419i | \(0.373791\pi\) | |||||||
\(68\) | 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 | \(0.418809\pi\) | ||||
−0.252312 | + | 0.967646i | \(0.581191\pi\) | |||||||
\(84\) | 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 | 0.914339 | − | 0.404951i | \(-0.132711\pi\) |
0.106472 | + | 0.994316i | \(0.466045\pi\) | |||||||
\(102\) | 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 | −0.695530 | − | 0.718497i | \(-0.744830\pi\) |
0.274471 | + | 0.961595i | \(0.411497\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.177033 | − | 0.102210i | −0.0169567 | − | 0.00978994i | 0.491498 | − | 0.870879i | \(-0.336450\pi\) |
−0.508454 | + | 0.861089i | \(0.669783\pi\) | |||||||
\(110\) | 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 | −0.546213 | − | 0.837646i | \(-0.683931\pi\) |
0.452316 | + | 0.891858i | \(0.350598\pi\) | |||||||
\(132\) | 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 | \(0.0139061\pi\) | ||||
−0.999046 | + | 0.0436735i | \(0.986094\pi\) | |||||||
\(140\) | 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 | −0.119535 | − | 0.992830i | \(-0.538140\pi\) |
0.800048 | + | 0.599935i | \(0.204807\pi\) | |||||||
\(150\) | 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 | 0.960492 | − | 0.278309i | \(-0.0897740\pi\) |
0.239223 | + | 0.970965i | \(0.423107\pi\) | |||||||
\(158\) | 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 | −0.927212 | − | 0.374537i | \(-0.877802\pi\) |
−0.139247 | + | 0.990258i | \(0.544468\pi\) | |||||||
\(164\) | 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 | −0.422789 | − | 0.906228i | \(-0.638949\pi\) |
0.573422 | + | 0.819260i | \(0.305616\pi\) | |||||||
\(174\) | 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 | 0.961766 | − | 0.273873i | \(-0.0883046\pi\) |
0.243702 | + | 0.969850i | \(0.421638\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.6786i | 1.01672i | 0.861144 | + | 0.508361i | \(0.169748\pi\) | ||||
−0.861144 | + | 0.508361i | \(0.830252\pi\) | |||||||
\(182\) | 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 | \(-0.990987\pi\) | ||
0.999599 | − | 0.0283127i | \(-0.00901343\pi\) | |||||||
\(198\) | 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 | \(0.00609607\pi\) | ||||
−0.999817 | + | 0.0191502i | \(0.993904\pi\) | |||||||
\(212\) | 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 | 0.730355 | − | 0.683068i | \(-0.239355\pi\) |
−0.226376 | + | 0.974040i | \(0.572688\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 17.9235 | − | 10.3481i | 1.18442 | − | 0.683822i | 0.227383 | − | 0.973805i | \(-0.426983\pi\) |
0.957032 | + | 0.289983i | \(0.0936496\pi\) | |||||||
\(230\) | 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 | \(-0.871659\pi\) | ||
0.919813 | − | 0.392358i | \(-0.128341\pi\) | |||||||
\(252\) | 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 | 0.873230 | − | 0.487307i | \(-0.162021\pi\) |
0.0145946 | + | 0.999893i | \(0.495354\pi\) | |||||||
\(270\) | 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 | −0.217030 | − | 0.976165i | \(-0.569637\pi\) |
−0.953899 | + | 0.300129i | \(0.902970\pi\) | |||||||
\(278\) | 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 | 0.300249 | − | 0.953861i | \(-0.402930\pi\) |
−0.675944 | + | 0.736953i | \(0.736264\pi\) | |||||||
\(284\) | 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 | \(-0.906065\pi\) | ||
0.956772 | − | 0.290840i | \(-0.0939346\pi\) | |||||||
\(294\) | 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 | \(-0.859725\pi\) | ||
0.904459 | − | 0.426561i | \(-0.140275\pi\) | |||||||
\(308\) | 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 | −0.840930 | − | 0.541143i | \(-0.817992\pi\) |
0.0481787 | + | 0.998839i | \(0.484658\pi\) | |||||||
\(318\) | 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 | −0.432794 | − | 0.901493i | \(-0.642472\pi\) |
0.564319 | + | 0.825557i | \(0.309139\pi\) | |||||||
\(332\) | 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 | 0.186731 | − | 0.982411i | \(-0.440211\pi\) |
−0.757427 | + | 0.652919i | \(0.773544\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.209753i | 0.0112278i | 0.999984 | + | 0.00561390i | \(0.00178697\pi\) | ||||
−0.999984 | + | 0.00561390i | \(0.998213\pi\) | |||||||
\(350\) | 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 | −0.833383 | − | 0.552697i | \(-0.813599\pi\) |
0.0619580 | + | 0.998079i | \(0.480266\pi\) | |||||||
\(374\) | 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 | \(-0.915737\pi\) | ||
0.965165 | − | 0.261640i | \(-0.0842635\pi\) | |||||||
\(380\) | 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 | 0.848268 | − | 0.529567i | \(-0.177646\pi\) |
−0.0344843 | + | 0.999405i | \(0.510979\pi\) | |||||||
\(390\) | 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 | −0.663322 | − | 0.748334i | \(-0.730854\pi\) |
0.316415 | + | 0.948621i | \(0.397521\pi\) | |||||||
\(398\) | 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 | \(0.0684271\pi\) | ||||
−0.976983 | + | 0.213318i | \(0.931573\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.77349i | 0.0864344i | 0.999066 | + | 0.0432172i | \(0.0137607\pi\) | ||||
−0.999066 | + | 0.0432172i | \(0.986239\pi\) | |||||||
\(422\) | 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 | −0.664929 | − | 0.746907i | \(-0.731538\pi\) |
0.314376 | + | 0.949299i | \(0.398205\pi\) | |||||||
\(444\) | 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 | \(-0.967604\pi\) | ||
0.994826 | − | 0.101598i | \(-0.0323956\pi\) | |||||||
\(462\) | 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 | −0.130561 | − | 0.991440i | \(-0.541678\pi\) |
0.793332 | + | 0.608789i | \(0.208345\pi\) | |||||||
\(468\) | 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 | \(0.137052\pi\) | ||||
−0.908732 | + | 0.417381i | \(0.862948\pi\) | |||||||
\(492\) | 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 | −0.716322 | − | 0.697770i | \(-0.754176\pi\) |
0.246125 | + | 0.969238i | \(0.420843\pi\) | |||||||
\(500\) | 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 | −0.158185 | − | 0.987409i | \(-0.550564\pi\) |
0.776029 | + | 0.630697i | \(0.217231\pi\) | |||||||
\(510\) | 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 | −0.965228 | − | 0.261409i | \(-0.915813\pi\) |
−0.256227 | + | 0.966617i | \(0.582480\pi\) | |||||||
\(524\) | 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 | −0.572416 | − | 0.819963i | \(-0.693994\pi\) |
0.423901 | + | 0.905709i | \(0.360660\pi\) | |||||||
\(542\) | 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 | \(0.0838679\pi\) | ||||
−0.965490 | + | 0.260441i | \(0.916132\pi\) | |||||||
\(548\) | 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 | 0.553824 | − | 0.832634i | \(-0.313168\pi\) |
−0.444170 | + | 0.895942i | \(0.646502\pi\) | |||||||
\(558\) | 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 | 0.578366 | − | 0.815777i | \(-0.303691\pi\) |
−0.417301 | + | 0.908768i | \(0.637024\pi\) | |||||||
\(564\) | 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 | −0.163513 | − | 0.986541i | \(-0.552283\pi\) |
−0.936126 | + | 0.351664i | \(0.885616\pi\) | |||||||
\(572\) | 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 | \(-0.964828\pi\) | ||
0.993902 | − | 0.110271i | \(-0.0351719\pi\) | |||||||
\(588\) | 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 | 0.884802 | − | 0.465967i | \(-0.154294\pi\) |
0.0388615 | + | 0.999245i | \(0.487627\pi\) | |||||||
\(614\) | 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 | \(0.112235\pi\) |
0.768310 | + | 0.640078i | \(0.221098\pi\) | |||||||
\(620\) | 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 | \(0.150142\pi\) | ||||
−0.890804 | + | 0.454388i | \(0.849858\pi\) | |||||||
\(644\) | 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 | \(0.746710\pi\) |
−0.968549 | + | 0.248822i | \(0.919957\pi\) | |||||||
\(654\) | 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 | \(0.0331173\pi\) | ||||
−0.994593 | + | 0.103853i | \(0.966883\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −33.5057 | − | 19.3445i | −1.30322 | − | 0.752416i | −0.322267 | − | 0.946649i | \(-0.604445\pi\) |
−0.980955 | + | 0.194233i | \(0.937778\pi\) | |||||||
\(662\) | 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 | −0.175046 | − | 0.984560i | \(-0.556007\pi\) |
0.765131 | + | 0.643874i | \(0.222674\pi\) | |||||||
\(678\) | 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 | 0.638265 | − | 0.769817i | \(-0.279652\pi\) |
−0.347549 | + | 0.937662i | \(0.612986\pi\) | |||||||
\(684\) | 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 | −0.104557 | − | 0.994519i | \(-0.533343\pi\) |
0.809000 | + | 0.587809i | \(0.200009\pi\) | |||||||
\(692\) | 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 | \(-0.918420\pi\) | ||
0.967337 | − | 0.253495i | \(-0.0815802\pi\) | |||||||
\(702\) | 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 | \(-0.266581\pi\) |
0.978092 | − | 0.208174i | \(-0.0667520\pi\) | |||||||
\(710\) | 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 | −0.876834 | − | 0.480794i | \(-0.840349\pi\) |
−0.0220370 | + | 0.999757i | \(0.507015\pi\) | |||||||
\(734\) | 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 | 0.938931 | − | 0.344104i | \(-0.111817\pi\) |
0.171463 | + | 0.985191i | \(0.445151\pi\) | |||||||
\(740\) | 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 | \(0.183871\pi\) | ||||
−0.837749 | + | 0.546055i | \(0.816129\pi\) | |||||||
\(758\) | 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 | −0.346731 | − | 0.937964i | \(-0.612708\pi\) |
−0.985667 | + | 0.168704i | \(0.946042\pi\) | |||||||
\(774\) | 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 | \(-0.989818\pi\) |
−0.527442 | − | 0.849591i | \(-0.676849\pi\) | |||||||
\(788\) | 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 | \(0.0761286\pi\) | ||||
−0.971536 | + | 0.236892i | \(0.923871\pi\) | |||||||
\(798\) | 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 | \(0.118906\pi\) | ||||
−0.931036 | + | 0.364928i | \(0.881094\pi\) | |||||||
\(812\) | 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 | −0.573139 | − | 0.819458i | \(-0.694275\pi\) |
0.423102 | + | 0.906082i | \(0.360941\pi\) | |||||||
\(822\) | 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 | \(0.256035\pi\) | ||||
−0.693574 | + | 0.720385i | \(0.743965\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.6531 | + | 12.5014i | 0.752044 | + | 0.434193i | 0.826432 | − | 0.563036i | \(-0.190367\pi\) |
−0.0743878 | + | 0.997229i | \(0.523700\pi\) | |||||||
\(830\) | 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 | \(-0.660528\pi\) | ||
0.483206 | − | 0.875507i | \(-0.339472\pi\) | |||||||
\(854\) | 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 | −0.234352 | − | 0.972152i | \(-0.575297\pi\) |
0.724732 | + | 0.689031i | \(0.241964\pi\) | |||||||
\(860\) | 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 | −0.522054 | − | 0.852913i | \(-0.674834\pi\) |
0.477617 | + | 0.878568i | \(0.341501\pi\) | |||||||
\(878\) | 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 | \(-0.935204\pi\) | ||
0.979353 | − | 0.202159i | \(-0.0647959\pi\) | |||||||
\(884\) | 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 | −0.0515204 | − | 0.998672i | \(-0.516407\pi\) |
−0.890635 | + | 0.454718i | \(0.849740\pi\) | |||||||
\(908\) | 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 | 0.146294 | − | 0.989241i | \(-0.453265\pi\) |
−0.783561 | + | 0.621315i | \(0.786599\pi\) | |||||||
\(942\) | 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 | −0.0644985 | − | 0.997918i | \(-0.520545\pi\) |
0.831973 | + | 0.554816i | \(0.187211\pi\) | |||||||
\(948\) | 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 | −0.621559 | − | 0.783367i | \(-0.713500\pi\) |
0.367637 | + | 0.929970i | \(0.380167\pi\) | |||||||
\(972\) | 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 | 0.756615 | − | 0.653861i | \(-0.226852\pi\) |
−0.187953 | + | 0.982178i | \(0.560185\pi\) | |||||||
\(998\) | 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.529.7 | 32 | ||
3.2 | odd | 2 | 2016.2.cr.e.1873.4 | 32 | |||
4.3 | odd | 2 | 168.2.bc.a.109.5 | yes | 32 | ||
7.2 | even | 3 | inner | 672.2.bk.a.625.10 | 32 | ||
7.3 | odd | 6 | 4704.2.c.f.2353.2 | 16 | |||
7.4 | even | 3 | 4704.2.c.e.2353.15 | 16 | |||
8.3 | odd | 2 | 168.2.bc.a.109.6 | yes | 32 | ||
8.5 | even | 2 | inner | 672.2.bk.a.529.10 | 32 | ||
12.11 | even | 2 | 504.2.cj.e.109.12 | 32 | |||
21.2 | odd | 6 | 2016.2.cr.e.1297.13 | 32 | |||
24.5 | odd | 2 | 2016.2.cr.e.1873.13 | 32 | |||
24.11 | even | 2 | 504.2.cj.e.109.11 | 32 | |||
28.3 | even | 6 | 1176.2.c.f.589.15 | 16 | |||
28.11 | odd | 6 | 1176.2.c.e.589.15 | 16 | |||
28.23 | odd | 6 | 168.2.bc.a.37.6 | yes | 32 | ||
56.3 | even | 6 | 1176.2.c.f.589.16 | 16 | |||
56.11 | odd | 6 | 1176.2.c.e.589.16 | 16 | |||
56.37 | even | 6 | inner | 672.2.bk.a.625.7 | 32 | ||
56.45 | odd | 6 | 4704.2.c.f.2353.15 | 16 | |||
56.51 | odd | 6 | 168.2.bc.a.37.5 | ✓ | 32 | ||
56.53 | even | 6 | 4704.2.c.e.2353.2 | 16 | |||
84.23 | even | 6 | 504.2.cj.e.37.11 | 32 | |||
168.107 | even | 6 | 504.2.cj.e.37.12 | 32 | |||
168.149 | odd | 6 | 2016.2.cr.e.1297.4 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.bc.a.37.5 | ✓ | 32 | 56.51 | odd | 6 | ||
168.2.bc.a.37.6 | yes | 32 | 28.23 | odd | 6 | ||
168.2.bc.a.109.5 | yes | 32 | 4.3 | odd | 2 | ||
168.2.bc.a.109.6 | yes | 32 | 8.3 | odd | 2 | ||
504.2.cj.e.37.11 | 32 | 84.23 | even | 6 | |||
504.2.cj.e.37.12 | 32 | 168.107 | even | 6 | |||
504.2.cj.e.109.11 | 32 | 24.11 | even | 2 | |||
504.2.cj.e.109.12 | 32 | 12.11 | even | 2 | |||
672.2.bk.a.529.7 | 32 | 1.1 | even | 1 | trivial | ||
672.2.bk.a.529.10 | 32 | 8.5 | even | 2 | inner | ||
672.2.bk.a.625.7 | 32 | 56.37 | even | 6 | inner | ||
672.2.bk.a.625.10 | 32 | 7.2 | even | 3 | inner | ||
1176.2.c.e.589.15 | 16 | 28.11 | odd | 6 | |||
1176.2.c.e.589.16 | 16 | 56.11 | odd | 6 | |||
1176.2.c.f.589.15 | 16 | 28.3 | even | 6 | |||
1176.2.c.f.589.16 | 16 | 56.3 | even | 6 | |||
2016.2.cr.e.1297.4 | 32 | 168.149 | odd | 6 | |||
2016.2.cr.e.1297.13 | 32 | 21.2 | odd | 6 | |||
2016.2.cr.e.1873.4 | 32 | 3.2 | odd | 2 | |||
2016.2.cr.e.1873.13 | 32 | 24.5 | odd | 2 | |||
4704.2.c.e.2353.2 | 16 | 56.53 | even | 6 | |||
4704.2.c.e.2353.15 | 16 | 7.4 | even | 3 | |||
4704.2.c.f.2353.2 | 16 | 7.3 | odd | 6 | |||
4704.2.c.f.2353.15 | 16 | 56.45 | odd | 6 |