Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1680,2,Mod(97,1680)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1680, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 0, 0, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1680.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1680 = 2^{4} \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1680.cz (of order \(4\), 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: | \(13.4148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4x^{14} + 6x^{12} - 12x^{10} + 33x^{8} - 48x^{6} + 96x^{4} - 256x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 433.2 | ||
Root | \(1.36166 + 0.381939i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1680.433 |
Dual form | 1680.2.cz.d.97.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1680\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(421\) | \(1121\) | \(1471\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.707107 | + | 0.707107i | −0.408248 | + | 0.408248i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.03649 | − | 1.98133i | −0.463534 | − | 0.886079i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.57351 | + | 0.614060i | −0.972694 | + | 0.232093i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | − | 1.00000i | − | 0.333333i | ||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.85136 | 1.16123 | 0.580615 | − | 0.814179i | \(-0.302812\pi\) | ||||
0.580615 | + | 0.814179i | \(0.302812\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.66816 | + | 3.66816i | −1.01737 | + | 1.01737i | −0.0175187 | + | 0.999847i | \(0.505577\pi\) |
−0.999847 | + | 0.0175187i | \(0.994423\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.13393 | + | 0.668102i | 0.550977 | + | 0.172503i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.49007 | + | 1.49007i | 0.361395 | + | 0.361395i | 0.864326 | − | 0.502931i | \(-0.167745\pi\) |
−0.502931 | + | 0.864326i | \(0.667745\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0697674 | −0.0160057 | −0.00800286 | − | 0.999968i | \(-0.502547\pi\) | ||||
−0.00800286 | + | 0.999968i | \(0.502547\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.38554 | − | 2.25395i | 0.302349 | − | 0.491852i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.534176 | + | 0.534176i | 0.111383 | + | 0.111383i | 0.760602 | − | 0.649218i | \(-0.224904\pi\) |
−0.649218 | + | 0.760602i | \(0.724904\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.85136 | + | 4.10728i | −0.570272 | + | 0.821456i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 2.77107i | − | 0.514576i | −0.966335 | − | 0.257288i | \(-0.917171\pi\) | ||
0.966335 | − | 0.257288i | \(-0.0828288\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 2.39674i | − | 0.430467i | −0.976563 | − | 0.215233i | \(-0.930949\pi\) | ||
0.976563 | − | 0.215233i | \(-0.0690512\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.72332 | + | 2.72332i | −0.474070 | + | 0.474070i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.88408 | + | 4.46250i | 0.656529 | + | 0.754301i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.18757 | − | 6.18757i | 1.01723 | − | 1.01723i | 0.0173805 | − | 0.999849i | \(-0.494467\pi\) |
0.999849 | − | 0.0173805i | \(-0.00553267\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | − | 5.18757i | − | 0.830675i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 8.68077i | − | 1.35571i | −0.735196 | − | 0.677854i | \(-0.762910\pi\) | ||
0.735196 | − | 0.677854i | \(-0.237090\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.77107 | + | 2.77107i | 0.422585 | + | 0.422585i | 0.886093 | − | 0.463508i | \(-0.153409\pi\) |
−0.463508 | + | 0.886093i | \(0.653409\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.98133 | + | 1.03649i | −0.295360 | + | 0.154511i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.49042 | − | 5.49042i | −0.800860 | − | 0.800860i | 0.182370 | − | 0.983230i | \(-0.441623\pi\) |
−0.983230 | + | 0.182370i | \(0.941623\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.24586 | − | 3.16057i | 0.892266 | − | 0.451510i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.10728 | −0.295078 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.13823 | + | 6.13823i | 0.843151 | + | 0.843151i | 0.989267 | − | 0.146116i | \(-0.0466774\pi\) |
−0.146116 | + | 0.989267i | \(0.546677\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.99191 | − | 7.63083i | −0.538269 | − | 1.02894i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.0493330 | − | 0.0493330i | 0.00653431 | − | 0.00653431i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.97440 | 0.907990 | 0.453995 | − | 0.891004i | \(-0.349998\pi\) | ||||
0.453995 | + | 0.891004i | \(0.349998\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 14.3107i | − | 1.83230i | −0.400835 | − | 0.916150i | \(-0.631280\pi\) | ||
0.400835 | − | 0.916150i | \(-0.368720\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.614060 | + | 2.57351i | 0.0773643 | + | 0.324231i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 11.0699 | + | 3.46582i | 1.37305 | + | 0.429883i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.416491 | + | 0.416491i | −0.0508824 | + | 0.0508824i | −0.732090 | − | 0.681208i | \(-0.761455\pi\) |
0.681208 | + | 0.732090i | \(0.261455\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.755439 | −0.0909442 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.12783 | 0.964595 | 0.482298 | − | 0.876007i | \(-0.339802\pi\) | ||||
0.482298 | + | 0.876007i | \(0.339802\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.55210 | − | 9.55210i | 1.11799 | − | 1.11799i | 0.125953 | − | 0.992036i | \(-0.459801\pi\) |
0.992036 | − | 0.125953i | \(-0.0401987\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.888068 | − | 4.92050i | −0.102545 | − | 0.568171i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −9.91150 | + | 2.36497i | −1.12952 | + | 0.269513i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 9.86329i | − | 1.10971i | −0.831948 | − | 0.554854i | \(-0.812774\pi\) | ||
0.831948 | − | 0.554854i | \(-0.187226\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.00000 | −0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.63570 | + | 1.63570i | −0.179541 | + | 0.179541i | −0.791156 | − | 0.611615i | \(-0.790520\pi\) |
0.611615 | + | 0.791156i | \(0.290520\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.40788 | − | 4.49678i | 0.152706 | − | 0.487744i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.95945 | + | 1.95945i | 0.210075 | + | 0.210075i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.05313 | −0.535631 | −0.267815 | − | 0.963470i | \(-0.586302\pi\) | ||||
−0.267815 | + | 0.963470i | \(0.586302\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.18757 | − | 11.6925i | 0.753462 | − | 1.22571i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.69475 | + | 1.69475i | 0.175737 | + | 0.175737i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.0723134 | + | 0.138232i | 0.00741920 | + | 0.0141823i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.85851 | + | 6.85851i | 0.696376 | + | 0.696376i | 0.963627 | − | 0.267251i | \(-0.0861152\pi\) |
−0.267251 | + | 0.963627i | \(0.586115\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 3.85136i | − | 0.387076i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 19.1953i | 1.91000i | 0.296605 | + | 0.955000i | \(0.404145\pi\) | ||||
−0.296605 | + | 0.955000i | \(0.595855\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.33825 | + | 2.33825i | −0.230394 | + | 0.230394i | −0.812857 | − | 0.582463i | \(-0.802089\pi\) |
0.582463 | + | 0.812857i | \(0.302089\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.90192 | − | 0.409006i | −0.575969 | − | 0.0399149i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 6.39747 | − | 6.39747i | 0.618467 | − | 0.618467i | −0.326671 | − | 0.945138i | \(-0.605927\pi\) |
0.945138 | + | 0.326671i | \(0.105927\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.16057i | 0.206945i | 0.994632 | + | 0.103473i | \(0.0329954\pi\) | ||||
−0.994632 | + | 0.103473i | \(0.967005\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.75054i | 0.830564i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −4.13823 | − | 4.13823i | −0.389292 | − | 0.389292i | 0.485143 | − | 0.874435i | \(-0.338768\pi\) |
−0.874435 | + | 0.485143i | \(0.838768\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.504711 | − | 1.61205i | 0.0470645 | − | 0.150325i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.66816 | + | 3.66816i | 0.339122 | + | 0.339122i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −4.74970 | − | 2.91971i | −0.435404 | − | 0.267650i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.83298 | 0.348453 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 6.13823 | + | 6.13823i | 0.553466 | + | 0.553466i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 11.0933 | + | 1.39233i | 0.992215 | + | 0.124533i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.83298 | − | 4.83298i | 0.428858 | − | 0.428858i | −0.459381 | − | 0.888239i | \(-0.651929\pi\) |
0.888239 | + | 0.459381i | \(0.151929\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −3.91889 | −0.345039 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.647499i | 0.0565722i | 0.999600 | + | 0.0282861i | \(0.00900495\pi\) | ||||
−0.999600 | + | 0.0282861i | \(0.990995\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.179547 | − | 0.0428413i | 0.0155687 | − | 0.00371481i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.668102 | − | 2.13393i | 0.0575011 | − | 0.183659i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 10.2369 | − | 10.2369i | 0.874597 | − | 0.874597i | −0.118372 | − | 0.992969i | \(-0.537768\pi\) |
0.992969 | + | 0.118372i | \(0.0377676\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 22.1663 | 1.88012 | 0.940060 | − | 0.341009i | \(-0.110769\pi\) | ||||
0.940060 | + | 0.341009i | \(0.110769\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 7.76463 | 0.653900 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −14.1274 | + | 14.1274i | −1.18139 | + | 1.18139i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.49042 | + | 2.87220i | −0.455955 | + | 0.238523i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.18163 | + | 6.65135i | −0.179938 | + | 0.548594i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 11.0475i | 0.905050i | 0.891752 | + | 0.452525i | \(0.149477\pi\) | ||||
−0.891752 | + | 0.452525i | \(0.850523\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −18.3990 | −1.49729 | −0.748645 | − | 0.662972i | \(-0.769295\pi\) | ||||
−0.748645 | + | 0.662972i | \(0.769295\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.49007 | − | 1.49007i | 0.120465 | − | 0.120465i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.74873 | + | 2.48420i | −0.381428 | + | 0.199536i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.04994 | − | 1.04994i | −0.0837946 | − | 0.0837946i | 0.663967 | − | 0.747762i | \(-0.268871\pi\) |
−0.747762 | + | 0.663967i | \(0.768871\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −8.68077 | −0.688430 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.70272 | − | 1.04669i | −0.134193 | − | 0.0824907i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.50539 | − | 5.50539i | −0.431215 | − | 0.431215i | 0.457826 | − | 0.889042i | \(-0.348628\pi\) |
−0.889042 | + | 0.457826i | \(0.848628\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 8.21852 | + | 2.57310i | 0.639811 | + | 0.200316i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.88968 | − | 1.88968i | −0.146228 | − | 0.146228i | 0.630203 | − | 0.776431i | \(-0.282972\pi\) |
−0.776431 | + | 0.630203i | \(0.782972\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 13.9108i | − | 1.07006i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.0697674i | 0.00533524i | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −4.90751 | + | 4.90751i | −0.373111 | + | 0.373111i | −0.868609 | − | 0.495498i | \(-0.834986\pi\) |
0.495498 | + | 0.868609i | \(0.334986\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.81588 | − | 12.3210i | 0.364046 | − | 0.931381i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.93165 | + | 4.93165i | −0.370685 | + | 0.370685i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 18.5857i | 1.38916i | 0.719416 | + | 0.694579i | \(0.244409\pi\) | ||||
−0.719416 | + | 0.694579i | \(0.755591\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 8.48528i | − | 0.630706i | −0.948974 | − | 0.315353i | \(-0.897877\pi\) | ||
0.948974 | − | 0.315353i | \(-0.102123\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 10.1192 | + | 10.1192i | 0.748034 | + | 0.748034i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −18.6730 | − | 5.84625i | −1.37287 | − | 0.429825i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.73880 | + | 5.73880i | 0.419663 | + | 0.419663i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.25395 | − | 1.38554i | −0.163951 | − | 0.100783i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.39351 | 0.390261 | 0.195130 | − | 0.980777i | \(-0.437487\pi\) | ||||
0.195130 | + | 0.980777i | \(0.437487\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.80599 | − | 4.80599i | −0.345943 | − | 0.345943i | 0.512653 | − | 0.858596i | \(-0.328663\pi\) |
−0.858596 | + | 0.512653i | \(0.828663\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −10.2783 | + | 5.37688i | −0.736044 | + | 0.385046i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.6739 | − | 12.6739i | 0.902981 | − | 0.902981i | −0.0927124 | − | 0.995693i | \(-0.529554\pi\) |
0.995693 | + | 0.0927124i | \(0.0295537\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.67111 | 0.189350 | 0.0946750 | − | 0.995508i | \(-0.469819\pi\) | ||||
0.0946750 | + | 0.995508i | \(0.469819\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | − | 0.589007i | − | 0.0415453i | ||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.70161 | + | 7.13138i | 0.119429 | + | 0.500524i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −17.1995 | + | 8.99757i | −1.20127 | + | 0.628417i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.534176 | − | 0.534176i | 0.0371278 | − | 0.0371278i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.268699 | −0.0185863 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.0239 | 0.827757 | 0.413879 | − | 0.910332i | \(-0.364174\pi\) | ||||
0.413879 | + | 0.910332i | \(0.364174\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.74724 | + | 5.74724i | −0.393794 | + | 0.393794i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 2.61822 | − | 8.36262i | 0.178561 | − | 0.570326i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.47174 | + | 6.16802i | 0.0999082 | + | 0.418712i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 13.5087i | 0.912834i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.9316 | −0.735342 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.6925 | − | 11.6925i | 0.782988 | − | 0.782988i | −0.197346 | − | 0.980334i | \(-0.563232\pi\) |
0.980334 | + | 0.197346i | \(0.0632321\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.10728 | + | 2.85136i | 0.273819 | + | 0.190091i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.10518 | − | 1.10518i | −0.0733535 | − | 0.0733535i | 0.669478 | − | 0.742832i | \(-0.266518\pi\) |
−0.742832 | + | 0.669478i | \(0.766518\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.83309 | 0.517625 | 0.258812 | − | 0.965928i | \(-0.416669\pi\) | ||||
0.258812 | + | 0.965928i | \(0.416669\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.33620 | − | 8.68077i | 0.351096 | − | 0.571153i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.00797 | + | 1.00797i | 0.0660345 | + | 0.0660345i | 0.739353 | − | 0.673318i | \(-0.235132\pi\) |
−0.673318 | + | 0.739353i | \(0.735132\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.18757 | + | 16.5691i | −0.338399 | + | 1.08085i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 6.97440 | + | 6.97440i | 0.453036 | + | 0.453036i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 20.2805i | − | 1.31183i | −0.754833 | − | 0.655917i | \(-0.772282\pi\) | ||
0.754833 | − | 0.655917i | \(-0.227718\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 2.76994i | − | 0.178427i | −0.996013 | − | 0.0892136i | \(-0.971565\pi\) | ||
0.996013 | − | 0.0892136i | \(-0.0284354\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.707107 | − | 0.707107i | 0.0453609 | − | 0.0453609i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −12.7359 | − | 9.09922i | −0.813670 | − | 0.581328i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.255918 | − | 0.255918i | 0.0162837 | − | 0.0162837i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | − | 2.31322i | − | 0.146595i | ||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 6.09982i | − | 0.385017i | −0.981295 | − | 0.192509i | \(-0.938338\pi\) | ||
0.981295 | − | 0.192509i | \(-0.0616623\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.05731 | + | 2.05731i | 0.129342 | + | 0.129342i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.18418 | + | 4.17522i | 0.136779 | + | 0.261463i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2.01843 | − | 2.01843i | −0.125906 | − | 0.125906i | 0.641346 | − | 0.767252i | \(-0.278376\pi\) |
−0.767252 | + | 0.641346i | \(0.778376\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −12.1242 | + | 19.7233i | −0.753361 | + | 1.22554i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.77107 | −0.171525 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −16.7686 | − | 16.7686i | −1.03400 | − | 1.03400i | −0.999401 | − | 0.0345941i | \(-0.988986\pi\) |
−0.0345941 | − | 0.999401i | \(-0.511014\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.79964 | − | 18.5241i | 0.356269 | − | 1.13793i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.57310 | − | 3.57310i | 0.218670 | − | 0.218670i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 24.7351 | 1.50813 | 0.754064 | − | 0.656801i | \(-0.228091\pi\) | ||||
0.754064 | + | 0.656801i | \(0.228091\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.13470i | 0.251165i | 0.992083 | + | 0.125583i | \(0.0400800\pi\) | ||||
−0.992083 | + | 0.125583i | \(0.959920\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 3.18548 | + | 13.3502i | 0.192794 | + | 0.807993i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −10.9816 | + | 15.8186i | −0.662217 | + | 0.953898i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.1128 | + | 12.1128i | −0.727786 | + | 0.727786i | −0.970178 | − | 0.242393i | \(-0.922068\pi\) |
0.242393 | + | 0.970178i | \(0.422068\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.39674 | −0.143489 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.25279 | 0.313355 | 0.156678 | − | 0.987650i | \(-0.449922\pi\) | ||||
0.156678 | + | 0.987650i | \(0.449922\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.66729 | − | 1.66729i | 0.0991101 | − | 0.0991101i | −0.655813 | − | 0.754923i | \(-0.727674\pi\) |
0.754923 | + | 0.655813i | \(0.227674\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.148878 | − | 0.0466117i | −0.00881879 | − | 0.00276104i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 5.33051 | + | 22.3400i | 0.314650 | + | 1.31869i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 12.5594i | − | 0.738787i | ||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −9.69940 | −0.568589 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −15.2556 | + | 15.2556i | −0.891240 | + | 0.891240i | −0.994640 | − | 0.103400i | \(-0.967028\pi\) |
0.103400 | + | 0.994640i | \(0.467028\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.22893 | − | 13.8186i | −0.420884 | − | 0.804551i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.72332 | + | 2.72332i | 0.158023 | + | 0.158023i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3.91889 | −0.226635 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.83298 | − | 5.42977i | −0.509125 | − | 0.312967i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −13.5731 | − | 13.5731i | −0.779754 | − | 0.779754i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −28.3543 | + | 14.8330i | −1.62356 | + | 0.849334i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.6198 | + | 14.6198i | 0.834394 | + | 0.834394i | 0.988114 | − | 0.153721i | \(-0.0491256\pi\) |
−0.153721 | + | 0.988114i | \(0.549126\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 3.30678i | − | 0.188116i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.86218i | 0.162299i | 0.996702 | + | 0.0811497i | \(0.0258592\pi\) | ||||
−0.996702 | + | 0.0811497i | \(0.974141\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.41824 | + | 9.41824i | −0.532350 | + | 0.532350i | −0.921271 | − | 0.388921i | \(-0.872848\pi\) |
0.388921 | + | 0.921271i | \(0.372848\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 4.46250 | − | 3.88408i | 0.251434 | − | 0.218843i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 7.38310 | − | 7.38310i | 0.414676 | − | 0.414676i | −0.468688 | − | 0.883364i | \(-0.655273\pi\) |
0.883364 | + | 0.468688i | \(0.155273\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 10.6724i | − | 0.597540i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 9.04739i | 0.504976i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.103958 | − | 0.103958i | −0.00578440 | − | 0.00578440i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.60691 | − | 25.5254i | −0.255545 | − | 1.41590i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −1.52776 | − | 1.52776i | −0.0844851 | − | 0.0844851i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 17.5011 | + | 10.7582i | 0.964866 | + | 0.593118i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −23.6200 | −1.29827 | −0.649136 | − | 0.760672i | \(-0.724870\pi\) | ||||
−0.649136 | + | 0.760672i | \(0.724870\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −6.18757 | − | 6.18757i | −0.339076 | − | 0.339076i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.25690 | + | 0.393517i | 0.0686716 | + | 0.0215001i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.93809 | + | 4.93809i | −0.268995 | + | 0.268995i | −0.828695 | − | 0.559700i | \(-0.810916\pi\) |
0.559700 | + | 0.828695i | \(0.310916\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 5.85234 | 0.317856 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 9.23070i | − | 0.499870i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.1330 | + | 11.9691i | −0.763109 | + | 0.646270i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.783008 | + | 1.49678i | 0.0421558 | + | 0.0805838i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −5.83694 | + | 5.83694i | −0.313343 | + | 0.313343i | −0.846203 | − | 0.532860i | \(-0.821117\pi\) |
0.532860 | + | 0.846203i | \(0.321117\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.9121 | −0.905282 | −0.452641 | − | 0.891693i | \(-0.649518\pi\) | ||||
−0.452641 | + | 0.891693i | \(0.649518\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.18757 | −0.276892 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −11.1265 | + | 11.1265i | −0.592202 | + | 0.592202i | −0.938226 | − | 0.346024i | \(-0.887532\pi\) |
0.346024 | + | 0.938226i | \(0.387532\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.42444 | − | 16.1039i | −0.447123 | − | 0.854708i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 5.42309 | − | 1.29400i | 0.287021 | − | 0.0684855i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 8.14864i | − | 0.430069i | −0.976606 | − | 0.215034i | \(-0.931014\pi\) | ||
0.976606 | − | 0.215034i | \(-0.0689864\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.9951 | −0.999744 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −2.71033 | + | 2.71033i | −0.142255 | + | 0.142255i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −28.8266 | − | 9.02520i | −1.50885 | − | 0.472401i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −14.7480 | − | 14.7480i | −0.769840 | − | 0.769840i | 0.208238 | − | 0.978078i | \(-0.433227\pi\) |
−0.978078 | + | 0.208238i | \(0.933227\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −8.68077 | −0.451903 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −19.5660 | − | 12.0275i | −1.01582 | − | 0.624438i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.49461 | + | 1.49461i | 0.0773880 | + | 0.0773880i | 0.744741 | − | 0.667353i | \(-0.232573\pi\) |
−0.667353 | + | 0.744741i | \(0.732573\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −8.82867 | + | 6.85963i | −0.455911 | + | 0.354230i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 10.1648 | + | 10.1648i | 0.523511 | + | 0.523511i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 18.7135i | − | 0.961248i | −0.876927 | − | 0.480624i | \(-0.840410\pi\) | ||
0.876927 | − | 0.480624i | \(-0.159590\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.83487i | 0.350161i | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −20.9354 | + | 20.9354i | −1.06975 | + | 1.06975i | −0.0723706 | + | 0.997378i | \(0.523056\pi\) |
−0.997378 | + | 0.0723706i | \(0.976944\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 14.9590 | + | 17.1867i | 0.762381 | + | 0.875916i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.77107 | − | 2.77107i | 0.140862 | − | 0.140862i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 25.6611i | 1.30107i | 0.759477 | + | 0.650535i | \(0.225455\pi\) | ||||
−0.759477 | + | 0.650535i | \(0.774545\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.59192i | 0.0805069i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.457851 | − | 0.457851i | −0.0230955 | − | 0.0230955i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −19.5425 | + | 10.2232i | −0.983288 | + | 0.514387i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.73585 | + | 6.73585i | 0.338063 | + | 0.338063i | 0.855638 | − | 0.517575i | \(-0.173165\pi\) |
−0.517575 | + | 0.855638i | \(0.673165\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.0966653 | + | 0.157252i | −0.00483932 | + | 0.00787245i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 14.7503 | 0.736593 | 0.368296 | − | 0.929708i | \(-0.379941\pi\) | ||||
0.368296 | + | 0.929708i | \(0.379941\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 8.79162 | + | 8.79162i | 0.437942 | + | 0.437942i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.03649 | + | 1.98133i | 0.0515038 | + | 0.0984532i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 23.8305 | − | 23.8305i | 1.18124 | − | 1.18124i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.5604 | 0.522180 | 0.261090 | − | 0.965315i | \(-0.415918\pi\) | ||||
0.261090 | + | 0.965315i | \(0.415918\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 14.4772i | 0.714106i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −17.9487 | + | 4.28270i | −0.883196 | + | 0.210738i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.93625 | + | 1.54547i | 0.242311 | + | 0.0758641i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −15.6739 | + | 15.6739i | −0.767556 | + | 0.767556i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −15.5472 | −0.759532 | −0.379766 | − | 0.925083i | \(-0.623996\pi\) | ||||
−0.379766 | + | 0.925083i | \(0.623996\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.29886 | 0.160776 | 0.0803882 | − | 0.996764i | \(-0.474384\pi\) | ||||
0.0803882 | + | 0.996764i | \(0.474384\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5.49042 | + | 5.49042i | −0.266953 | + | 0.266953i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −10.3689 | + | 1.87141i | −0.502964 | + | 0.0907766i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.78764 | + | 36.8287i | 0.425264 | + | 1.78227i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | − | 19.9792i | − | 0.964604i | ||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 14.0911 | 0.678743 | 0.339371 | − | 0.940652i | \(-0.389786\pi\) | ||||
0.339371 | + | 0.940652i | \(0.389786\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.72650 | + | 1.72650i | −0.0829702 | + | 0.0829702i | −0.747374 | − | 0.664404i | \(-0.768686\pi\) |
0.664404 | + | 0.747374i | \(0.268686\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.85136 | − | 5.91327i | 0.0887660 | − | 0.283519i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.0372681 | − | 0.0372681i | −0.00178277 | − | 0.00178277i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 27.1172 | 1.29423 | 0.647116 | − | 0.762392i | \(-0.275975\pi\) | ||||
0.647116 | + | 0.762392i | \(0.275975\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.16057 | − | 6.24586i | −0.150503 | − | 0.297422i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 24.1502 | + | 24.1502i | 1.14741 | + | 1.14741i | 0.987060 | + | 0.160349i | \(0.0512618\pi\) |
0.160349 | + | 0.987060i | \(0.448738\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.23754 | + | 10.0119i | 0.248283 | + | 0.474611i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −7.81179 | − | 7.81179i | −0.369485 | − | 0.369485i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 9.80267i | − | 0.462617i | −0.972881 | − | 0.231308i | \(-0.925699\pi\) | ||
0.972881 | − | 0.231308i | \(-0.0743006\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 33.4328i | − | 1.57429i | ||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 13.0101 | − | 13.0101i | 0.611266 | − | 0.611266i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −30.6166 | − | 2.12175i | −1.43533 | − | 0.0994691i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.550071 | − | 0.550071i | 0.0257312 | − | 0.0257312i | −0.694124 | − | 0.719855i | \(-0.744208\pi\) |
0.719855 | + | 0.694124i | \(0.244208\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.10728i | 0.0983594i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 0.831786i | − | 0.0387401i | −0.999812 | − | 0.0193701i | \(-0.993834\pi\) | ||
0.999812 | − | 0.0193701i | \(-0.00616607\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.45140 | − | 5.45140i | −0.253348 | − | 0.253348i | 0.568994 | − | 0.822342i | \(-0.307333\pi\) |
−0.822342 | + | 0.568994i | \(0.807333\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.60127 | − | 5.11446i | 0.0742569 | − | 0.237177i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 23.2827 | + | 23.2827i | 1.07740 | + | 1.07740i | 0.996742 | + | 0.0806551i | \(0.0257012\pi\) |
0.0806551 | + | 0.996742i | \(0.474299\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.816091 | − | 1.32759i | 0.0376836 | − | 0.0613025i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.48484 | 0.0684180 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 10.6724 | + | 10.6724i | 0.490718 | + | 0.490718i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.198932 | − | 0.286554i | 0.00912762 | − | 0.0131480i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 6.13823 | − | 6.13823i | 0.281050 | − | 0.281050i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 40.4319 | 1.84738 | 0.923691 | − | 0.383138i | \(-0.125157\pi\) | ||||
0.923691 | + | 0.383138i | \(0.125157\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 45.3940i | 2.06979i | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.94413 | − | 0.463885i | 0.0884609 | − | 0.0211075i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 6.48019 | − | 20.6978i | 0.294250 | − | 0.939839i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.22893 | − | 7.22893i | 0.327574 | − | 0.327574i | −0.524089 | − | 0.851663i | \(-0.675594\pi\) |
0.851663 | + | 0.524089i | \(0.175594\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 7.78580 | 0.352086 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −20.1040 | −0.907279 | −0.453639 | − | 0.891185i | \(-0.649875\pi\) | ||||
−0.453639 | + | 0.891185i | \(0.649875\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.12910 | − | 4.12910i | 0.185965 | − | 0.185965i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −7.63083 | + | 3.99191i | −0.342980 | + | 0.179423i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −20.9170 | + | 4.99097i | −0.938256 | + | 0.223876i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 15.4227i | − | 0.690414i | −0.938527 | − | 0.345207i | \(-0.887809\pi\) | ||
0.938527 | − | 0.345207i | \(-0.112191\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.67241 | 0.119394 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −25.9985 | + | 25.9985i | −1.15922 | + | 1.15922i | −0.174573 | + | 0.984644i | \(0.555855\pi\) |
−0.984644 | + | 0.174573i | \(0.944145\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 38.0322 | − | 19.8958i | 1.69241 | − | 0.885350i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9.83645 | + | 9.83645i | 0.436852 | + | 0.436852i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 37.1271 | 1.64563 | 0.822816 | − | 0.568309i | \(-0.192402\pi\) | ||||
0.822816 | + | 0.568309i | \(0.192402\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −18.7168 | + | 30.4479i | −0.827983 | + | 1.34694i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.0493330 | − | 0.0493330i | −0.00217810 | − | 0.00217810i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 7.05642 | + | 2.20927i | 0.310943 | + | 0.0973519i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −21.1456 | − | 21.1456i | −0.929982 | − | 0.929982i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 6.94026i | − | 0.304644i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 2.59132i | 0.113528i | 0.998388 | + | 0.0567639i | \(0.0180782\pi\) | ||||
−0.998388 | + | 0.0567639i | \(0.981922\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.08854 | − | 6.08854i | 0.266233 | − | 0.266233i | −0.561347 | − | 0.827581i | \(-0.689717\pi\) |
0.827581 | + | 0.561347i | \(0.189717\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 5.30693 | + | 12.1176i | 0.231613 | + | 0.528856i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 3.57131 | − | 3.57131i | 0.155569 | − | 0.155569i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 22.4293i | − | 0.975187i | ||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 6.97440i | − | 0.302663i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 31.8425 | + | 31.8425i | 1.37925 | + | 1.37925i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −19.3065 | − | 6.04458i | −0.834691 | − | 0.261330i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −13.1421 | − | 13.1421i | −0.567122 | − | 0.567122i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 24.0551 | − | 12.1725i | 1.03613 | − | 0.524307i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −33.4638 | −1.43872 | −0.719360 | − | 0.694638i | \(-0.755565\pi\) | ||||
−0.719360 | + | 0.694638i | \(0.755565\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.00000 | + | 6.00000i | 0.257485 | + | 0.257485i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 4.28081 | − | 2.23942i | 0.183370 | − | 0.0959262i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.828381 | − | 0.828381i | 0.0354190 | − | 0.0354190i | −0.689175 | − | 0.724594i | \(-0.742027\pi\) |
0.724594 | + | 0.689175i | \(0.242027\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −14.3107 | −0.610767 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.193331i | 0.00823616i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.05665 | + | 25.3832i | 0.257555 | + | 1.07941i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 17.3377 | − | 9.06988i | 0.735946 | − | 0.384995i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 14.7120 | − | 14.7120i | 0.623366 | − | 0.623366i | −0.323024 | − | 0.946391i | \(-0.604700\pi\) |
0.946391 | + | 0.323024i | \(0.104700\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −20.3295 | −0.859846 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −8.11589 | −0.342653 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 23.9693 | − | 23.9693i | 1.01019 | − | 1.01019i | 0.0102391 | − | 0.999948i | \(-0.496741\pi\) |
0.999948 | − | 0.0102391i | \(-0.00325926\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.90996 | + | 12.4885i | −0.164493 | + | 0.525394i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.57351 | − | 0.614060i | 0.108077 | − | 0.0257881i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 15.6660i | 0.656751i | 0.944547 | + | 0.328376i | \(0.106501\pi\) | ||||
−0.944547 | + | 0.328376i | \(0.893499\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −36.9887 | −1.54793 | −0.773964 | − | 0.633229i | \(-0.781729\pi\) | ||||
−0.773964 | + | 0.633229i | \(0.781729\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.81379 | + | 3.81379i | −0.159323 | + | 0.159323i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −3.71714 | + | 0.670882i | −0.155015 | + | 0.0279777i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 15.5587 | + | 15.5587i | 0.647717 | + | 0.647717i | 0.952441 | − | 0.304724i | \(-0.0985641\pi\) |
−0.304724 | + | 0.952441i | \(0.598564\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 6.79669 | 0.282461 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.20506 | − | 5.21389i | 0.132968 | − | 0.216309i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 23.6405 | + | 23.6405i | 0.979091 | + | 0.979091i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.46582 | − | 11.0699i | 0.143294 | − | 0.457683i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 15.7111 | + | 15.7111i | 0.648468 | + | 0.648468i | 0.952623 | − | 0.304155i | \(-0.0983740\pi\) |
−0.304155 | + | 0.952623i | \(0.598374\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.167214i | 0.00688993i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 17.9237i | 0.737281i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.85199 | + | 1.85199i | −0.0760523 | + | 0.0760523i | −0.744110 | − | 0.668057i | \(-0.767126\pi\) |
0.668057 | + | 0.744110i | \(0.267126\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.861891 | + | 12.4370i | −0.0353341 | + | 0.509867i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −1.88876 | + | 1.88876i | −0.0773018 | + | 0.0773018i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 47.3151i | 1.93324i | 0.256208 | + | 0.966622i | \(0.417527\pi\) | ||||
−0.256208 | + | 0.966622i | \(0.582473\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.0819i | 0.452041i | 0.974123 | + | 0.226021i | \(0.0725717\pi\) | ||||
−0.974123 | + | 0.226021i | \(0.927428\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.416491 | + | 0.416491i | 0.0169608 | + | 0.0169608i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −3.97286 | − | 7.59441i | −0.161520 | − | 0.308757i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.54653 | − | 7.54653i | −0.306304 | − | 0.306304i | 0.537170 | − | 0.843474i | \(-0.319493\pi\) |
−0.843474 | + | 0.537170i | \(0.819493\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −6.24586 | − | 3.83943i | −0.253095 | − | 0.155581i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 40.2795 | 1.62953 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.62487 | − | 2.62487i | −0.106017 | − | 0.106017i | 0.652108 | − | 0.758126i | \(-0.273885\pi\) |
−0.758126 | + | 0.652108i | \(0.773885\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 5.79964 | − | 18.5241i | 0.233864 | − | 0.746965i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 11.3212 | − | 11.3212i | 0.455774 | − | 0.455774i | −0.441491 | − | 0.897266i | \(-0.645550\pi\) |
0.897266 | + | 0.441491i | \(0.145550\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.06771 | 0.364462 | 0.182231 | − | 0.983256i | \(-0.441668\pi\) | ||||
0.182231 | + | 0.983256i | \(0.441668\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.755439i | 0.0303147i | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 13.0043 | − | 3.10292i | 0.521005 | − | 0.124316i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.73948 | − | 23.4227i | −0.349579 | − | 0.936907i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.189999 | − | 0.189999i | 0.00758783 | − | 0.00758783i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 18.4398 | 0.735244 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.67260 | 0.385060 | 0.192530 | − | 0.981291i | \(-0.438331\pi\) | ||||
0.192530 | + | 0.981291i | \(0.438331\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −8.50216 | + | 8.50216i | −0.337930 | + | 0.337930i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −14.5851 | − | 4.56639i | −0.578792 | − | 0.181212i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −11.3173 | + | 34.5043i | −0.448409 | + | 1.36711i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 8.12783i | − | 0.321532i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −40.5847 | −1.60300 | −0.801500 | − | 0.597995i | \(-0.795964\pi\) | ||||
−0.801500 | + | 0.597995i | \(0.795964\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.89544 | + | 3.89544i | −0.153621 | + | 0.153621i | −0.779733 | − | 0.626112i | \(-0.784645\pi\) |
0.626112 | + | 0.779733i | \(0.284645\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.06191 | + | 7.76463i | 0.159937 | + | 0.305732i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −16.8414 | − | 16.8414i | −0.662104 | − | 0.662104i | 0.293772 | − | 0.955876i | \(-0.405089\pi\) |
−0.955876 | + | 0.293772i | \(0.905089\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 26.8609 | 1.05438 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −5.40212 | − | 3.32077i | −0.211726 | − | 0.130151i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −22.9951 | − | 22.9951i | −0.899867 | − | 0.899867i | 0.0955569 | − | 0.995424i | \(-0.469537\pi\) |
−0.995424 | + | 0.0955569i | \(0.969537\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.28291 | − | 0.671128i | 0.0501275 | − | 0.0262232i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −9.55210 | − | 9.55210i | −0.372663 | − | 0.372663i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 32.7543i | 1.27593i | 0.770067 | + | 0.637963i | \(0.220223\pi\) | ||||
−0.770067 | + | 0.637963i | \(0.779777\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 32.5174i | − | 1.26478i | −0.774650 | − | 0.632391i | \(-0.782074\pi\) | ||
0.774650 | − | 0.632391i | \(-0.217926\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 7.72984 | − | 7.72984i | 0.300202 | − | 0.300202i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.270982 | − | 0.311337i | −0.0105082 | − | 0.0120731i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.48024 | − | 1.48024i | 0.0573152 | − | 0.0573152i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 16.5357i | 0.639307i | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 55.1158i | − | 2.12772i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.7534 | − | 16.7534i | −0.645796 | − | 0.645796i | 0.306179 | − | 0.951974i | \(-0.400950\pi\) |
−0.951974 | + | 0.306179i | \(0.900950\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −4.92050 | + | 0.888068i | −0.189390 | + | 0.0341818i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −6.85568 | − | 6.85568i | −0.263485 | − | 0.263485i | 0.562983 | − | 0.826468i | \(-0.309654\pi\) |
−0.826468 | + | 0.562983i | \(0.809654\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −21.8620 | − | 13.4389i | −0.838985 | − | 0.515737i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.56296 | 0.0598929 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −23.2345 | − | 23.2345i | −0.889042 | − | 0.889042i | 0.105389 | − | 0.994431i | \(-0.466391\pi\) |
−0.994431 | + | 0.105389i | \(0.966391\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −30.8932 | − | 9.67222i | −1.18037 | − | 0.369557i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −5.53883 | + | 5.53883i | −0.211319 | + | 0.211319i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −45.0321 | −1.71559 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 42.4714i | 1.61569i | 0.589395 | + | 0.807845i | \(0.299366\pi\) | ||||
−0.589395 | + | 0.807845i | \(0.700634\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.36497 | + | 9.91150i | 0.0898376 | + | 0.376507i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −22.9752 | − | 43.9188i | −0.871500 | − | 1.66594i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 12.9350 | − | 12.9350i | 0.489947 | − | 0.489947i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −1.42549 | −0.0539169 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 17.0793 | 0.645077 | 0.322539 | − | 0.946556i | \(-0.395464\pi\) | ||||
0.322539 | + | 0.946556i | \(0.395464\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.431690 | + | 0.431690i | −0.0162815 | + | 0.0162815i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −8.04799 | − | 15.3843i | −0.303105 | − | 0.579407i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −11.7870 | − | 49.3991i | −0.443297 | − | 1.85785i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 32.6742i | − | 1.22710i | −0.789654 | − | 0.613552i | \(-0.789740\pi\) | ||
0.789654 | − | 0.613552i | \(-0.210260\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −9.86329 | −0.369902 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.28028 | − | 1.28028i | 0.0479469 | − | 0.0479469i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 42.6341 | + | 13.3481i | 1.59443 | + | 0.499192i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 14.3405 | + | 14.3405i | 0.535554 | + | 0.535554i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 19.3248 | 0.720693 | 0.360346 | − | 0.932819i | \(-0.382659\pi\) | ||||
0.360346 | + | 0.932819i | \(0.382659\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.58166 | − | 7.45331i | 0.170630 | − | 0.277576i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.95864 | + | 1.95864i | 0.0728426 | + | 0.0728426i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 11.3816 | + | 7.90133i | 0.422701 | + | 0.293448i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.71795 | − | 2.71795i | −0.100803 | − | 0.100803i | 0.654907 | − | 0.755710i | \(-0.272708\pi\) |
−0.755710 | + | 0.654907i | \(0.772708\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.25820i | 0.305440i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.38437 | + | 2.38437i | −0.0880686 | + | 0.0880686i | −0.749769 | − | 0.661700i | \(-0.769835\pi\) |
0.661700 | + | 0.749769i | \(0.269835\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 15.4398 | − | 2.57155i | 0.569505 | − | 0.0948532i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.60406 | + | 1.60406i | −0.0590862 | + | 0.0590862i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.95679i | 0.182339i | 0.995835 | + | 0.0911693i | \(0.0290605\pi\) | ||||
−0.995835 | + | 0.0911693i | \(0.970940\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.361923i | 0.0132956i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −15.6556 | − | 15.6556i | −0.574347 | − | 0.574347i | 0.358993 | − | 0.933340i | \(-0.383120\pi\) |
−0.933340 | + | 0.358993i | \(0.883120\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 21.8889 | − | 11.4507i | 0.801946 | − | 0.419521i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.63570 | + | 1.63570i | 0.0598470 | + | 0.0598470i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −12.5355 | + | 20.3924i | −0.458037 | + | 0.745120i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.1909 | 0.408361 | 0.204181 | − | 0.978933i | \(-0.434547\pi\) | ||||
0.204181 | + | 0.978933i | \(0.434547\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 4.31322 | + | 4.31322i | 0.157183 | + | 0.157183i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 19.0704 | + | 36.4545i | 0.694045 | + | 1.32672i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 29.4977 | − | 29.4977i | 1.07211 | − | 1.07211i | 0.0749214 | − | 0.997189i | \(-0.476129\pi\) |
0.997189 | − | 0.0749214i | \(-0.0238706\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −2.90947 | −0.105607 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 28.1175i | − | 1.01926i | −0.860395 | − | 0.509629i | \(-0.829783\pi\) | ||
0.860395 | − | 0.509629i | \(-0.170217\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.32672 | − | 5.56025i | −0.0480305 | − | 0.201294i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −4.49678 | − | 1.40788i | −0.162581 | − | 0.0509019i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −25.5832 | + | 25.5832i | −0.923757 | + | 0.923757i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6.61248 | 0.238452 | 0.119226 | − | 0.992867i | \(-0.461959\pi\) | ||||
0.119226 | + | 0.992867i | \(0.461959\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.85449 | 0.102802 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 31.7247 | − | 31.7247i | 1.14106 | − | 1.14106i | 0.152800 | − | 0.988257i | \(-0.451171\pi\) |
0.988257 | − | 0.152800i | \(-0.0488290\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.84407 | + | 6.83396i | 0.353609 | + | 0.245483i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −5.37335 | − | 22.5196i | −0.192768 | − | 0.807885i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.605634i | 0.0216991i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 31.3032 | 1.12012 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.95945 | − | 1.95945i | 0.0700249 | − | 0.0700249i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −0.992027 | + | 3.16855i | −0.0354070 | + | 0.113090i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −22.4472 | − | 22.4472i | −0.800155 | − | 0.800155i | 0.182964 | − | 0.983120i | \(-0.441431\pi\) |
−0.983120 | + | 0.182964i | \(0.941431\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 23.7144 | 0.844254 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 13.1909 | + | 8.10864i | 0.469014 | + | 0.288310i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 52.4941 | + | 52.4941i | 1.86412 | + | 1.86412i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 8.99757 | + | 17.1995i | 0.319111 | + | 0.610003i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 5.14677 | + | 5.14677i | 0.182308 | + | 0.182308i | 0.792361 | − | 0.610053i | \(-0.208852\pi\) |
−0.610053 | + | 0.792361i | \(0.708852\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 16.3622i | − | 0.578854i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 5.05313i | 0.178544i | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 36.7886 | − | 36.7886i | 1.29824 | − | 1.29824i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.308980 | + | 4.45855i | −0.0108901 | + | 0.157143i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −17.4904 | + | 17.4904i | −0.615691 | + | 0.615691i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 22.5215i | − | 0.791815i | −0.918290 | − | 0.395907i | \(-0.870430\pi\) | ||
0.918290 | − | 0.395907i | \(-0.129570\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 34.9145i | − | 1.22602i | −0.790077 | − | 0.613008i | \(-0.789960\pi\) | ||
0.790077 | − | 0.613008i | \(-0.210040\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.92367 | − | 2.92367i | −0.102538 | − | 0.102538i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −5.20171 | + | 16.6143i | −0.182208 | + | 0.581974i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.193331 | − | 0.193331i | −0.00676378 | − | 0.00676378i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −11.6925 | − | 7.18757i | −0.408569 | − | 0.251154i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 8.52640 | 0.297573 | 0.148787 | − | 0.988869i | \(-0.452463\pi\) | ||||
0.148787 | + | 0.988869i | \(0.452463\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 33.9044 | + | 33.9044i | 1.18183 | + | 1.18183i | 0.979269 | + | 0.202564i | \(0.0649273\pi\) |
0.202564 | + | 0.979269i | \(0.435073\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −3.42027 | − | 18.9506i | −0.119079 | − | 0.659776i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 37.8440 | − | 37.8440i | 1.31597 | − | 1.31597i | 0.399025 | − | 0.916940i | \(-0.369349\pi\) |
0.916940 | − | 0.399025i | \(-0.130651\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −33.7140 | −1.17094 | −0.585469 | − | 0.810695i | \(-0.699089\pi\) | ||||
−0.585469 | + | 0.810695i | \(0.699089\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − | 17.1300i | − | 0.594234i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 14.0163 | + | 4.59730i | 0.485635 | + | 0.159287i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.78544 | + | 5.70272i | −0.0617878 | + | 0.197351i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.69475 | − | 1.69475i | 0.0585791 | − | 0.0585791i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 16.0665 | 0.554679 | 0.277339 | − | 0.960772i | \(-0.410547\pi\) | ||||
0.277339 | + | 0.960772i | \(0.410547\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.3211 | 0.735212 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −3.71429 | + | 3.71429i | −0.127927 | + | 0.127927i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −27.5620 | + | 14.4185i | −0.948161 | + | 0.496011i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −9.86420 | + | 2.35368i | −0.338938 | + | 0.0808734i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 2.35790i | 0.0809231i | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.61050 | 0.226605 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.14393 | − | 5.14393i | 0.176125 | − | 0.176125i | −0.613539 | − | 0.789664i | \(-0.710255\pi\) |
0.789664 | + | 0.613539i | \(0.210255\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.138232 | − | 0.0723134i | 0.00472745 | − | 0.00247307i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −5.65076 | − | 5.65076i | −0.193026 | − | 0.193026i | 0.603976 | − | 0.797002i | \(-0.293582\pi\) |
−0.797002 | + | 0.603976i | \(0.793582\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −42.0801 | −1.43575 | −0.717877 | − | 0.696170i | \(-0.754886\pi\) | ||||
−0.717877 | + | 0.696170i | \(0.754886\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −19.5660 | − | 12.0275i | −0.666808 | − | 0.409897i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 11.9777 | + | 11.9777i | 0.407724 | + | 0.407724i | 0.880944 | − | 0.473220i | \(-0.156908\pi\) |
−0.473220 | + | 0.880944i | \(0.656908\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 14.8100 | + | 4.63680i | 0.503555 | + | 0.157656i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 8.88082 | + | 8.88082i | 0.301608 | + | 0.301608i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 37.9871i | − | 1.28862i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 3.05551i | − | 0.103532i | ||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 6.85851 | − | 6.85851i | 0.232125 | − | 0.232125i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −29.4037 | + | 3.22879i | −0.994025 | + | 0.109153i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −11.5817 | + | 11.5817i | −0.391085 | + | 0.391085i | −0.875074 | − | 0.483989i | \(-0.839187\pi\) |
0.483989 | + | 0.875074i | \(0.339187\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 21.5746i | − | 0.727694i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 8.72058i | − | 0.293804i | −0.989151 | − | 0.146902i | \(-0.953070\pi\) | ||
0.989151 | − | 0.146902i | \(-0.0469301\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −17.0876 | − | 17.0876i | −0.575044 | − | 0.575044i | 0.358490 | − | 0.933534i | \(-0.383292\pi\) |
−0.933534 | + | 0.358490i | \(0.883292\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 14.8829 | + | 4.65961i | 0.500282 | + | 0.156631i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −26.4024 | − | 26.4024i | −0.886507 | − | 0.886507i | 0.107679 | − | 0.994186i | \(-0.465658\pi\) |
−0.994186 | + | 0.107679i | \(0.965658\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −9.46996 | + | 15.4054i | −0.317612 | + | 0.516682i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.85136 | −0.129025 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.383052 | + | 0.383052i | 0.0128184 | + | 0.0128184i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 36.8244 | − | 19.2639i | 1.23090 | − | 0.643922i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 2.77107 | − | 2.77107i | 0.0925235 | − | 0.0925235i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −6.64154 | −0.221508 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 18.2928i | 0.609422i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 10.0853 | − | 2.40643i | 0.335617 | − | 0.0800811i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −16.8122 | + | 8.79494i | −0.558855 | + | 0.292354i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 23.6454 | − | 23.6454i | 0.785133 | − | 0.785133i | −0.195559 | − | 0.980692i | \(-0.562652\pi\) |
0.980692 | + | 0.195559i | \(0.0626521\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 19.1953 | 0.636667 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 17.8226 | 0.590490 | 0.295245 | − | 0.955422i | \(-0.404599\pi\) | ||||
0.295245 | + | 0.955422i | \(0.404599\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −6.29966 | + | 6.29966i | −0.208488 | + | 0.208488i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 9.56103 | − | 30.5380i | 0.316078 | − | 1.00956i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −0.397603 | − | 1.66634i | −0.0131300 | − | 0.0550274i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 21.5752i | 0.711701i | 0.934543 | + | 0.355850i | \(0.115809\pi\) | ||||
−0.934543 | + | 0.355850i | \(0.884191\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −20.6755 | −0.681280 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −29.8142 | + | 29.8142i | −0.981346 | + | 0.981346i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.77107 | + | 43.0570i | 0.255511 | + | 1.41571i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 2.33825 | + | 2.33825i | 0.0767980 | + | 0.0767980i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 38.3070 | 1.25681 | 0.628405 | − | 0.777886i | \(-0.283708\pi\) | ||||
0.628405 | + | 0.777886i | \(0.283708\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.435757 | + | 0.220505i | −0.0142814 | + | 0.00722675i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −2.02387 | − | 2.02387i | −0.0662584 | − | 0.0662584i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 5.42225 | − | 17.3187i | 0.177326 | − | 0.566382i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 13.2317 | + | 13.2317i | 0.432262 | + | 0.432262i | 0.889397 | − | 0.457135i | \(-0.151125\pi\) |
−0.457135 | + | 0.889397i | \(0.651125\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 13.3194i | − | 0.434662i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 2.58095i | 0.0841366i | 0.999115 | + | 0.0420683i | \(0.0133947\pi\) | ||||
−0.999115 | + | 0.0420683i | \(0.986605\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.63706 | − | 4.63706i | 0.151004 | − | 0.151004i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.409006 | + | 5.90192i | −0.0133050 | + | 0.191990i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −4.94205 | + | 4.94205i | −0.160595 | + | 0.160595i | −0.782830 | − | 0.622235i | \(-0.786225\pi\) |
0.622235 | + | 0.782830i | \(0.286225\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 70.0773i | 2.27481i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 10.4413i | 0.338582i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −16.3558 | − | 16.3558i | −0.529818 | − | 0.529818i | 0.390700 | − | 0.920518i | \(-0.372233\pi\) |
−0.920518 | + | 0.390700i | \(0.872233\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −5.59034 | − | 10.6863i | −0.180899 | − | 0.345802i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 7.54653 | + | 7.54653i | 0.243945 | + | 0.243945i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −20.0586 | + | 32.6308i | −0.647727 | + | 1.05370i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.2557 | 0.814698 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −6.39747 | − | 6.39747i | −0.206156 | − | 0.206156i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −4.54089 | + | 14.5036i | −0.146176 | + | 0.466889i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −8.66781 | + | 8.66781i | −0.278738 | + | 0.278738i | −0.832605 | − | 0.553867i | \(-0.813152\pi\) |
0.553867 | + | 0.832605i | \(0.313152\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.147019 | 0.00472294 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 13.1861i | − | 0.423163i | −0.977360 | − | 0.211582i | \(-0.932139\pi\) | ||
0.977360 | − | 0.211582i | \(-0.0678614\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −57.0451 | + | 13.6114i | −1.82878 | + | 0.436362i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 21.3068 | + | 14.7916i | 0.682363 | + | 0.473711i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −24.4925 | + | 24.4925i | −0.783586 | + | 0.783586i | −0.980434 | − | 0.196848i | \(-0.936929\pi\) |
0.196848 | + | 0.980434i | \(0.436929\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −19.4614 | −0.621990 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.16057 | 0.0689818 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −15.7362 | + | 15.7362i | −0.501907 | + | 0.501907i | −0.912030 | − | 0.410123i | \(-0.865486\pi\) |
0.410123 | + | 0.912030i | \(0.365486\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −38.2477 | − | 11.9748i | −1.21867 | − | 0.381550i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −19.9823 | + | 4.76795i | −0.636044 | + | 0.151765i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.96048i | 0.0941379i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 30.1031 | 0.956257 | 0.478128 | − | 0.878290i | \(-0.341315\pi\) | ||||
0.478128 | + | 0.878290i | \(0.341315\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 16.7019 | − | 16.7019i | 0.530018 | − | 0.530018i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.76859 | − | 5.29236i | −0.0877702 | − | 0.167779i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −22.8721 | − | 22.8721i | −0.724367 | − | 0.724367i | 0.245125 | − | 0.969491i | \(-0.421171\pi\) |
−0.969491 | + | 0.245125i | \(0.921171\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 8.75054 | 0.276855 |
(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 | 1680.2.cz.d.433.2 | 16 | ||
4.3 | odd | 2 | 105.2.m.a.13.6 | yes | 16 | ||
5.2 | odd | 4 | inner | 1680.2.cz.d.97.7 | 16 | ||
7.6 | odd | 2 | inner | 1680.2.cz.d.433.7 | 16 | ||
12.11 | even | 2 | 315.2.p.e.118.4 | 16 | |||
20.3 | even | 4 | 525.2.m.b.307.4 | 16 | |||
20.7 | even | 4 | 105.2.m.a.97.5 | yes | 16 | ||
20.19 | odd | 2 | 525.2.m.b.118.3 | 16 | |||
28.3 | even | 6 | 735.2.v.a.313.6 | 32 | |||
28.11 | odd | 6 | 735.2.v.a.313.5 | 32 | |||
28.19 | even | 6 | 735.2.v.a.178.3 | 32 | |||
28.23 | odd | 6 | 735.2.v.a.178.4 | 32 | |||
28.27 | even | 2 | 105.2.m.a.13.5 | ✓ | 16 | ||
35.27 | even | 4 | inner | 1680.2.cz.d.97.2 | 16 | ||
60.47 | odd | 4 | 315.2.p.e.307.3 | 16 | |||
84.83 | odd | 2 | 315.2.p.e.118.3 | 16 | |||
140.27 | odd | 4 | 105.2.m.a.97.6 | yes | 16 | ||
140.47 | odd | 12 | 735.2.v.a.472.5 | 32 | |||
140.67 | even | 12 | 735.2.v.a.607.3 | 32 | |||
140.83 | odd | 4 | 525.2.m.b.307.3 | 16 | |||
140.87 | odd | 12 | 735.2.v.a.607.4 | 32 | |||
140.107 | even | 12 | 735.2.v.a.472.6 | 32 | |||
140.139 | even | 2 | 525.2.m.b.118.4 | 16 | |||
420.167 | even | 4 | 315.2.p.e.307.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.m.a.13.5 | ✓ | 16 | 28.27 | even | 2 | ||
105.2.m.a.13.6 | yes | 16 | 4.3 | odd | 2 | ||
105.2.m.a.97.5 | yes | 16 | 20.7 | even | 4 | ||
105.2.m.a.97.6 | yes | 16 | 140.27 | odd | 4 | ||
315.2.p.e.118.3 | 16 | 84.83 | odd | 2 | |||
315.2.p.e.118.4 | 16 | 12.11 | even | 2 | |||
315.2.p.e.307.3 | 16 | 60.47 | odd | 4 | |||
315.2.p.e.307.4 | 16 | 420.167 | even | 4 | |||
525.2.m.b.118.3 | 16 | 20.19 | odd | 2 | |||
525.2.m.b.118.4 | 16 | 140.139 | even | 2 | |||
525.2.m.b.307.3 | 16 | 140.83 | odd | 4 | |||
525.2.m.b.307.4 | 16 | 20.3 | even | 4 | |||
735.2.v.a.178.3 | 32 | 28.19 | even | 6 | |||
735.2.v.a.178.4 | 32 | 28.23 | odd | 6 | |||
735.2.v.a.313.5 | 32 | 28.11 | odd | 6 | |||
735.2.v.a.313.6 | 32 | 28.3 | even | 6 | |||
735.2.v.a.472.5 | 32 | 140.47 | odd | 12 | |||
735.2.v.a.472.6 | 32 | 140.107 | even | 12 | |||
735.2.v.a.607.3 | 32 | 140.67 | even | 12 | |||
735.2.v.a.607.4 | 32 | 140.87 | odd | 12 | |||
1680.2.cz.d.97.2 | 16 | 35.27 | even | 4 | inner | ||
1680.2.cz.d.97.7 | 16 | 5.2 | odd | 4 | inner | ||
1680.2.cz.d.433.2 | 16 | 1.1 | even | 1 | trivial | ||
1680.2.cz.d.433.7 | 16 | 7.6 | odd | 2 | inner |