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 | 97.3 | ||
Root | \(0.517174 + 1.31626i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1680.97 |
Dual form | 1680.2.cz.d.433.3 |
$q$-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 \(\left(\mathbb{Z}/1680\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(421\) | \(1121\) | \(1471\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(1\) |
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 | ||||||||
\(5\) | 1.50619 | − | 1.65269i | 0.673588 | − | 0.739107i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.46123 | + | 2.20563i | −0.552293 | + | 0.833650i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000i | 0.333333i | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.46279 | 0.441048 | 0.220524 | − | 0.975382i | \(-0.429223\pi\) | ||||
0.220524 | + | 0.975382i | \(0.429223\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.887844 | − | 0.887844i | −0.246244 | − | 0.246244i | 0.573183 | − | 0.819427i | \(-0.305708\pi\) |
−0.819427 | + | 0.573183i | \(0.805708\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.23367 | + | 0.103594i | −0.576730 | + | 0.0267479i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.10614 | − | 2.10614i | 0.510815 | − | 0.510815i | −0.403961 | − | 0.914776i | \(-0.632367\pi\) |
0.914776 | + | 0.403961i | \(0.132367\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.95987 | −0.908456 | −0.454228 | − | 0.890885i | \(-0.650085\pi\) | ||||
−0.454228 | + | 0.890885i | \(0.650085\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.59286 | − | 0.526369i | 0.565809 | − | 0.114863i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.13007 | − | 4.13007i | 0.861180 | − | 0.861180i | −0.130295 | − | 0.991475i | \(-0.541593\pi\) |
0.991475 | + | 0.130295i | \(0.0415926\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.462789 | − | 4.97854i | −0.0925579 | − | 0.995707i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.18572i | 0.962965i | 0.876456 | + | 0.481482i | \(0.159901\pi\) | ||||
−0.876456 | + | 0.481482i | \(0.840099\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 6.10346i | − | 1.09621i | −0.836408 | − | 0.548107i | \(-0.815349\pi\) | ||
0.836408 | − | 0.548107i | \(-0.184651\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.03435 | − | 1.03435i | −0.180057 | − | 0.180057i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.44434 | + | 5.73706i | 0.244138 | + | 0.969741i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.25560 | + | 2.25560i | 0.370819 | + | 0.370819i | 0.867775 | − | 0.496957i | \(-0.165549\pi\) |
−0.496957 | + | 0.867775i | \(0.665549\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.25560i | 0.201057i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 0.769968i | − | 0.120249i | −0.998191 | − | 0.0601244i | \(-0.980850\pi\) | ||
0.998191 | − | 0.0601244i | \(-0.0191497\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.18572 | − | 5.18572i | 0.790816 | − | 0.790816i | −0.190811 | − | 0.981627i | \(-0.561112\pi\) |
0.981627 | + | 0.190811i | \(0.0611118\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.65269 | + | 1.50619i | 0.246369 | + | 0.224529i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 8.57041 | − | 8.57041i | 1.25012 | − | 1.25012i | 0.294459 | − | 0.955664i | \(-0.404861\pi\) |
0.955664 | − | 0.294459i | \(-0.0951394\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.72961 | − | 6.44587i | −0.389944 | − | 0.920839i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.97854 | −0.417079 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.544449 | + | 0.544449i | −0.0747859 | + | 0.0747859i | −0.743510 | − | 0.668724i | \(-0.766841\pi\) |
0.668724 | + | 0.743510i | \(0.266841\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.20324 | − | 2.41754i | 0.297084 | − | 0.325981i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.80005 | + | 2.80005i | 0.370876 | + | 0.370876i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.19633 | −0.416127 | −0.208063 | − | 0.978115i | \(-0.566716\pi\) | ||||
−0.208063 | + | 0.978115i | \(0.566716\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 1.42064i | − | 0.181894i | −0.995856 | − | 0.0909472i | \(-0.971011\pi\) | ||
0.995856 | − | 0.0909472i | \(-0.0289894\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.20563 | − | 1.46123i | −0.277883 | − | 0.184098i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.80460 | + | 0.130073i | −0.347867 | + | 0.0161336i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.93012 | + | 5.93012i | 0.724480 | + | 0.724480i | 0.969514 | − | 0.245034i | \(-0.0787993\pi\) |
−0.245034 | + | 0.969514i | \(0.578799\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.84081 | −0.703150 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.62611 | −0.905053 | −0.452526 | − | 0.891751i | \(-0.649477\pi\) | ||||
−0.452526 | + | 0.891751i | \(0.649477\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.81378 | − | 6.81378i | −0.797493 | − | 0.797493i | 0.185207 | − | 0.982700i | \(-0.440704\pi\) |
−0.982700 | + | 0.185207i | \(0.940704\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −3.19312 | + | 3.84760i | −0.368709 | + | 0.444282i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.13747 | + | 3.22637i | −0.243588 | + | 0.367679i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 4.52029i | − | 0.508573i | −0.967129 | − | 0.254286i | \(-0.918159\pi\) | ||
0.967129 | − | 0.254286i | \(-0.0818405\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.00000 | −0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −6.75794 | − | 6.75794i | −0.741781 | − | 0.741781i | 0.231140 | − | 0.972921i | \(-0.425754\pi\) |
−0.972921 | + | 0.231140i | \(0.925754\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.308559 | − | 6.65306i | −0.0334679 | − | 0.721626i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.66686 | − | 3.66686i | 0.393129 | − | 0.393129i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.19991 | −0.127190 | −0.0635950 | − | 0.997976i | \(-0.520257\pi\) | ||||
−0.0635950 | + | 0.997976i | \(0.520257\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.25560 | − | 0.660910i | 0.341280 | − | 0.0692822i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.31580 | + | 4.31580i | −0.447527 | + | 0.447527i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −5.96431 | + | 6.54445i | −0.611925 | + | 0.671446i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.68829 | − | 8.68829i | 0.882162 | − | 0.882162i | −0.111592 | − | 0.993754i | \(-0.535595\pi\) |
0.993754 | + | 0.111592i | \(0.0355950\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.46279i | 0.147016i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 15.3420i | − | 1.52659i | −0.646050 | − | 0.763295i | \(-0.723580\pi\) | ||
0.646050 | − | 0.763295i | \(-0.276420\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.30776 | + | 8.30776i | 0.818588 | + | 0.818588i | 0.985903 | − | 0.167316i | \(-0.0535099\pi\) |
−0.167316 | + | 0.985903i | \(0.553510\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.03541 | − | 5.07802i | 0.296226 | − | 0.495564i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.39022 | − | 4.39022i | −0.424418 | − | 0.424418i | 0.462303 | − | 0.886722i | \(-0.347023\pi\) |
−0.886722 | + | 0.462303i | \(0.847023\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.44587i | 0.713185i | 0.934260 | + | 0.356593i | \(0.116062\pi\) | ||||
−0.934260 | + | 0.356593i | \(0.883938\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 3.18990i | − | 0.302772i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.54445 | − | 2.54445i | 0.239362 | − | 0.239362i | −0.577224 | − | 0.816586i | \(-0.695864\pi\) |
0.816586 | + | 0.577224i | \(0.195864\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.605073 | − | 13.0464i | −0.0564233 | − | 1.21658i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.887844 | − | 0.887844i | 0.0820812 | − | 0.0820812i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.56781 | + | 7.72294i | 0.143721 | + | 0.707960i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.86025 | −0.805477 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.544449 | + | 0.544449i | −0.0490913 | + | 0.0490913i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.92504 | − | 6.73377i | −0.798280 | − | 0.602287i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.86025 | − | 7.86025i | −0.697484 | − | 0.697484i | 0.266383 | − | 0.963867i | \(-0.414171\pi\) |
−0.963867 | + | 0.266383i | \(0.914171\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −7.33372 | −0.645698 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.18216i | 0.540138i | 0.962841 | + | 0.270069i | \(0.0870465\pi\) | ||||
−0.962841 | + | 0.270069i | \(0.912953\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.78628 | − | 8.73401i | 0.501735 | − | 0.757334i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.103594 | − | 2.23367i | −0.00891596 | − | 0.192243i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.05565 | + | 9.05565i | 0.773677 | + | 0.773677i | 0.978747 | − | 0.205071i | \(-0.0657424\pi\) |
−0.205071 | + | 0.978747i | \(0.565742\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.9913 | −1.01709 | −0.508544 | − | 0.861036i | \(-0.669816\pi\) | ||||
−0.508544 | + | 0.861036i | \(0.669816\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −12.1204 | −1.02072 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.29873 | − | 1.29873i | −0.108605 | − | 0.108605i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.57041 | + | 7.81068i | 0.711734 | + | 0.648642i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.62780 | + | 6.48804i | −0.216737 | + | 0.535125i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | − | 0.0968261i | − | 0.00793230i | −0.999992 | − | 0.00396615i | \(-0.998738\pi\) | ||
0.999992 | − | 0.00396615i | \(-0.00126247\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 13.4550 | 1.09495 | 0.547475 | − | 0.836822i | \(-0.315589\pi\) | ||||
0.547475 | + | 0.836822i | \(0.315589\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.10614 | + | 2.10614i | 0.170272 | + | 0.170272i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −10.0871 | − | 9.19296i | −0.810219 | − | 0.738397i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.64757 | + | 1.64757i | −0.131491 | + | 0.131491i | −0.769789 | − | 0.638298i | \(-0.779639\pi\) |
0.638298 | + | 0.769789i | \(0.279639\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.769968 | 0.0610624 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.07442 | + | 15.1444i | 0.242298 | + | 1.19355i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.2746 | − | 10.2746i | 0.804771 | − | 0.804771i | −0.179066 | − | 0.983837i | \(-0.557308\pi\) |
0.983837 | + | 0.179066i | \(0.0573077\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −3.26738 | + | 0.151536i | −0.254366 | + | 0.0117971i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.293008 | − | 0.293008i | 0.0226737 | − | 0.0226737i | −0.695679 | − | 0.718353i | \(-0.744896\pi\) |
0.718353 | + | 0.695679i | \(0.244896\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 11.4235i | − | 0.878728i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | − | 3.95987i | − | 0.302819i | ||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 3.45189 | + | 3.45189i | 0.262442 | + | 0.262442i | 0.826046 | − | 0.563603i | \(-0.190585\pi\) |
−0.563603 | + | 0.826046i | \(0.690585\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.6571 | + | 6.25405i | 0.881190 | + | 0.472762i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 2.26015 | + | 2.26015i | 0.169883 | + | 0.169883i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.99756i | 0.149305i | 0.997210 | + | 0.0746523i | \(0.0237847\pi\) | ||||
−0.997210 | + | 0.0746523i | \(0.976215\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.48528i | 0.630706i | 0.948974 | + | 0.315353i | \(0.102123\pi\) | ||||
−0.948974 | + | 0.315353i | \(0.897877\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.00454 | + | 1.00454i | −0.0742581 | + | 0.0742581i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 7.12518 | − | 0.330455i | 0.523854 | − | 0.0242955i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.08084 | − | 3.08084i | 0.225294 | − | 0.225294i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.526369 | + | 2.59286i | 0.0382877 | + | 0.188603i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 7.83424 | 0.566866 | 0.283433 | − | 0.958992i | \(-0.408527\pi\) | ||||
0.283433 | + | 0.958992i | \(0.408527\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 13.5617 | − | 13.5617i | 0.976194 | − | 0.976194i | −0.0235293 | − | 0.999723i | \(-0.507490\pi\) |
0.999723 | + | 0.0235293i | \(0.00749029\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 2.07512 | + | 1.89117i | 0.148603 | + | 0.135430i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −11.4791 | − | 11.4791i | −0.817853 | − | 0.817853i | 0.167943 | − | 0.985797i | \(-0.446287\pi\) |
−0.985797 | + | 0.167943i | \(0.946287\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 20.1468 | 1.42817 | 0.714084 | − | 0.700061i | \(-0.246844\pi\) | ||||
0.714084 | + | 0.700061i | \(0.246844\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | − | 8.38646i | − | 0.591535i | ||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −11.4378 | − | 7.57754i | −0.802775 | − | 0.531839i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.27252 | − | 1.15972i | −0.0888767 | − | 0.0809981i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 4.13007 | + | 4.13007i | 0.287060 | + | 0.287060i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −5.79246 | −0.400673 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.9662 | −0.823785 | −0.411892 | − | 0.911233i | \(-0.635132\pi\) | ||||
−0.411892 | + | 0.911233i | \(0.635132\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 5.39247 | + | 5.39247i | 0.369486 | + | 0.369486i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.759730 | − | 16.3811i | −0.0518132 | − | 1.11718i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 13.4620 | + | 8.91857i | 0.913858 | + | 0.605432i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 9.63614i | 0.651150i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.73985 | −0.251570 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.660910 | − | 0.660910i | −0.0442578 | − | 0.0442578i | 0.684632 | − | 0.728889i | \(-0.259963\pi\) |
−0.728889 | + | 0.684632i | \(0.759963\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.97854 | − | 0.462789i | 0.331902 | − | 0.0308526i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −17.3487 | + | 17.3487i | −1.15147 | + | 1.15147i | −0.165216 | + | 0.986257i | \(0.552832\pi\) |
−0.986257 | + | 0.165216i | \(0.947168\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 25.0782 | 1.65721 | 0.828607 | − | 0.559831i | \(-0.189134\pi\) | ||||
0.828607 | + | 0.559831i | \(0.189134\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.79281 | − | 0.769968i | 0.249549 | − | 0.0506601i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.24138 | − | 2.24138i | 0.146837 | − | 0.146837i | −0.629866 | − | 0.776704i | \(-0.716890\pi\) |
0.776704 | + | 0.629866i | \(0.216890\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.25560 | − | 27.0729i | −0.0819064 | − | 1.76604i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.19633 | + | 3.19633i | −0.207624 | + | 0.207624i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 21.3769i | 1.38276i | 0.722492 | + | 0.691380i | \(0.242997\pi\) | ||||
−0.722492 | + | 0.691380i | \(0.757003\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.624129i | 0.0402037i | 0.999798 | + | 0.0201018i | \(0.00639905\pi\) | ||||
−0.999798 | + | 0.0201018i | \(0.993601\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −14.7643 | − | 5.19750i | −0.943260 | − | 0.332056i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.51575 | + | 3.51575i | 0.223702 | + | 0.223702i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 9.55717i | 0.605661i | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 16.3443i | 1.03164i | 0.856696 | + | 0.515822i | \(0.172513\pi\) | ||||
−0.856696 | + | 0.515822i | \(0.827487\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.04143 | − | 6.04143i | 0.379821 | − | 0.379821i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.48624 | + | 4.92261i | −0.280939 | + | 0.308266i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −21.3054 | + | 21.3054i | −1.32900 | + | 1.32900i | −0.422749 | + | 0.906247i | \(0.638935\pi\) |
−0.906247 | + | 0.422749i | \(0.861065\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.27098 | + | 1.67907i | −0.513933 | + | 0.104332i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −5.18572 | −0.320988 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 16.3449 | − | 16.3449i | 1.00787 | − | 1.00787i | 0.00789784 | − | 0.999969i | \(-0.497486\pi\) |
0.999969 | − | 0.00789784i | \(-0.00251399\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.0797641 | + | 1.71985i | 0.00489987 | + | 0.105650i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.848464 | + | 0.848464i | 0.0519251 | + | 0.0519251i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 16.5903 | 1.01153 | 0.505764 | − | 0.862672i | \(-0.331211\pi\) | ||||
0.505764 | + | 0.862672i | \(0.331211\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.78033i | 0.472621i | 0.971678 | + | 0.236311i | \(0.0759383\pi\) | ||||
−0.971678 | + | 0.236311i | \(0.924062\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.76939 | − | 1.83472i | −0.167611 | − | 0.111043i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.676964 | − | 7.28255i | −0.0408224 | − | 0.439154i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 21.3107 | + | 21.3107i | 1.28043 | + | 1.28043i | 0.940421 | + | 0.340013i | \(0.110431\pi\) |
0.340013 | + | 0.940421i | \(0.389569\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 6.10346 | 0.365405 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −21.1519 | −1.26182 | −0.630908 | − | 0.775858i | \(-0.717317\pi\) | ||||
−0.630908 | + | 0.775858i | \(0.717317\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.65471 | + | 2.65471i | 0.157806 | + | 0.157806i | 0.781594 | − | 0.623788i | \(-0.214407\pi\) |
−0.623788 | + | 0.781594i | \(0.714407\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 8.84503 | − | 0.410219i | 0.523934 | − | 0.0242993i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.69826 | + | 1.12510i | 0.100245 | + | 0.0664126i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.12832i | 0.478136i | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −12.2871 | −0.720282 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.56714 | + | 1.56714i | 0.0915536 | + | 0.0915536i | 0.751400 | − | 0.659847i | \(-0.229379\pi\) |
−0.659847 | + | 0.751400i | \(0.729379\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.81428 | + | 5.28255i | −0.280298 | + | 0.307562i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.03435 | − | 1.03435i | 0.0600190 | − | 0.0600190i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −7.33372 | −0.424120 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.86025 | + | 19.0153i | 0.222501 | + | 1.09603i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −10.8485 | + | 10.8485i | −0.623228 | + | 0.623228i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.34788 | − | 2.13975i | −0.134439 | − | 0.122522i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −17.3551 | + | 17.3551i | −0.990510 | + | 0.990510i | −0.999955 | − | 0.00944588i | \(-0.996993\pi\) |
0.00944588 | + | 0.999955i | \(0.496993\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 11.7489i | − | 0.668374i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 31.0648i | 1.76153i | 0.473558 | + | 0.880763i | \(0.342970\pi\) | ||||
−0.473558 | + | 0.880763i | \(0.657030\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.72426 | − | 5.72426i | −0.323554 | − | 0.323554i | 0.526575 | − | 0.850129i | \(-0.323476\pi\) |
−0.850129 | + | 0.526575i | \(0.823476\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −5.73706 | + | 1.44434i | −0.323247 | + | 0.0813793i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0.752579 | + | 0.752579i | 0.0422691 | + | 0.0422691i | 0.727925 | − | 0.685656i | \(-0.240485\pi\) |
−0.685656 | + | 0.727925i | \(0.740485\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 7.58562i | 0.424713i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.20871i | 0.346536i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −8.34005 | + | 8.34005i | −0.464053 | + | 0.464053i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.00928 | + | 4.83105i | −0.222395 | + | 0.267978i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.26503 | − | 5.26503i | 0.291157 | − | 0.291157i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 6.37980 | + | 31.4265i | 0.351730 | + | 1.73260i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.8082 | −0.868899 | −0.434449 | − | 0.900696i | \(-0.643057\pi\) | ||||
−0.434449 | + | 0.900696i | \(0.643057\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.25560 | + | 2.25560i | −0.123606 | + | 0.123606i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 18.7326 | − | 0.868788i | 1.02347 | − | 0.0474670i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −20.0460 | − | 20.0460i | −1.09197 | − | 1.09197i | −0.995318 | − | 0.0966558i | \(-0.969185\pi\) |
−0.0966558 | − | 0.995318i | \(-0.530815\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −3.59839 | −0.195438 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 8.92808i | − | 0.483482i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.2058 | + | 3.39840i | 0.983020 | + | 0.183497i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −8.79736 | + | 9.65306i | −0.473634 | + | 0.519703i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 20.0847 | + | 20.0847i | 1.07820 | + | 1.07820i | 0.996671 | + | 0.0815328i | \(0.0259815\pi\) |
0.0815328 | + | 0.996671i | \(0.474018\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −14.7663 | −0.790420 | −0.395210 | − | 0.918591i | \(-0.629328\pi\) | ||||
−0.395210 | + | 0.918591i | \(0.629328\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.25560 | −0.0670190 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 12.4890 | + | 12.4890i | 0.664724 | + | 0.664724i | 0.956490 | − | 0.291766i | \(-0.0942429\pi\) |
−0.291766 | + | 0.956490i | \(0.594243\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −11.4864 | + | 12.6036i | −0.609633 | + | 0.668931i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 4.35233 | − | 6.56955i | 0.230350 | − | 0.347697i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 10.5372i | 0.556133i | 0.960562 | + | 0.278066i | \(0.0896935\pi\) | ||||
−0.960562 | + | 0.278066i | \(0.910306\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.31943 | −0.174707 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 6.26514 | + | 6.26514i | 0.328835 | + | 0.328835i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −21.5239 | + | 0.998247i | −1.12661 | + | 0.0522507i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.1910 | − | 11.1910i | 0.584163 | − | 0.584163i | −0.351881 | − | 0.936045i | \(-0.614458\pi\) |
0.936045 | + | 0.351881i | \(0.114458\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.769968 | 0.0400829 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.405287 | − | 1.99642i | −0.0210415 | − | 0.103649i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.2746 | − | 17.2746i | 0.894446 | − | 0.894446i | −0.100492 | − | 0.994938i | \(-0.532042\pi\) |
0.994938 | + | 0.100492i | \(0.0320416\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.54946 | + | 11.0725i | 0.0800140 | + | 0.571779i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4.60412 | − | 4.60412i | 0.237124 | − | 0.237124i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 17.6237i | − | 0.905267i | −0.891697 | − | 0.452634i | \(-0.850485\pi\) | ||
0.891697 | − | 0.452634i | \(-0.149515\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 11.1161i | 0.569493i | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 16.1249 | + | 16.1249i | 0.823942 | + | 0.823942i | 0.986671 | − | 0.162729i | \(-0.0520295\pi\) |
−0.162729 | + | 0.986671i | \(0.552030\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.11276 | + | 8.39211i | 0.107676 | + | 0.427702i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 5.18572 | + | 5.18572i | 0.263605 | + | 0.263605i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 15.4011i | 0.780865i | 0.920632 | + | 0.390432i | \(0.127674\pi\) | ||||
−0.920632 | + | 0.390432i | \(0.872326\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 17.3971i | − | 0.879807i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.37145 | − | 4.37145i | 0.220510 | − | 0.220510i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −7.47066 | − | 6.80841i | −0.375889 | − | 0.342568i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −16.1781 | + | 16.1781i | −0.811955 | + | 0.811955i | −0.984927 | − | 0.172972i | \(-0.944663\pi\) |
0.172972 | + | 0.984927i | \(0.444663\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −10.2674 | + | 2.08435i | −0.514013 | + | 0.104348i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.977595 | −0.0488188 | −0.0244094 | − | 0.999702i | \(-0.507771\pi\) | ||||
−0.0244094 | + | 0.999702i | \(0.507771\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.41892 | + | 5.41892i | −0.269936 | + | 0.269936i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.50619 | + | 1.65269i | −0.0748431 | + | 0.0821230i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.29947 | + | 3.29947i | 0.163549 | + | 0.163549i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −24.3171 | −1.20241 | −0.601203 | − | 0.799097i | \(-0.705312\pi\) | ||||
−0.601203 | + | 0.799097i | \(0.705312\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 12.8066i | − | 0.631704i | ||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 4.67058 | − | 7.04992i | 0.229824 | − | 0.346904i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −21.3475 | + | 0.990067i | −1.04791 | + | 0.0486005i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 8.47912 | + | 8.47912i | 0.415224 | + | 0.415224i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 15.9893 | 0.781127 | 0.390563 | − | 0.920576i | \(-0.372280\pi\) | ||||
0.390563 | + | 0.920576i | \(0.372280\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.7000 | 0.716433 | 0.358216 | − | 0.933639i | \(-0.383385\pi\) | ||||
0.358216 | + | 0.933639i | \(0.383385\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 8.57041 | + | 8.57041i | 0.416708 | + | 0.416708i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −11.4602 | − | 9.51081i | −0.555902 | − | 0.461342i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.13341 | + | 2.07588i | 0.151636 | + | 0.100459i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.83668i | 0.0886758i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −22.2722 | −1.07281 | −0.536407 | − | 0.843960i | \(-0.680219\pi\) | ||||
−0.536407 | + | 0.843960i | \(0.680219\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 28.0171 | + | 28.0171i | 1.34642 | + | 1.34642i | 0.889520 | + | 0.456896i | \(0.151039\pi\) |
0.456896 | + | 0.889520i | \(0.348961\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.537211 | − | 11.5832i | −0.0257573 | − | 0.555371i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −16.3545 | + | 16.3545i | −0.782344 | + | 0.782344i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.35656 | −0.112473 | −0.0562363 | − | 0.998417i | \(-0.517910\pi\) | ||||
−0.0562363 | + | 0.998417i | \(0.517910\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.44587 | − | 2.72961i | 0.306946 | − | 0.129981i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 5.47247 | − | 5.47247i | 0.260005 | − | 0.260005i | −0.565051 | − | 0.825056i | \(-0.691144\pi\) |
0.825056 | + | 0.565051i | \(0.191144\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.80729 | + | 1.98308i | −0.0856737 | + | 0.0940071i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.0684664 | + | 0.0684664i | −0.00323835 | + | 0.00323835i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 1.20020i | − | 0.0566410i | −0.999599 | − | 0.0283205i | \(-0.990984\pi\) | ||
0.999599 | − | 0.0283205i | \(-0.00901591\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 1.12630i | − | 0.0530354i | ||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −9.51409 | − | 9.51409i | −0.447011 | − | 0.447011i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 3.81127 | − | 6.37597i | 0.178675 | − | 0.298910i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −21.0775 | − | 21.0775i | −0.985962 | − | 0.985962i | 0.0139406 | − | 0.999903i | \(-0.495562\pi\) |
−0.999903 | + | 0.0139406i | \(0.995562\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | − | 2.97854i | − | 0.139026i | ||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 21.9670i | 1.02311i | 0.859252 | + | 0.511553i | \(0.170929\pi\) | ||||
−0.859252 | + | 0.511553i | \(0.829071\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.6776 | − | 21.6776i | 1.00744 | − | 1.00744i | 0.00746987 | − | 0.999972i | \(-0.497622\pi\) |
0.999972 | − | 0.00746987i | \(-0.00237776\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.632282 | + | 13.6331i | 0.0293214 | + | 0.632220i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 7.11299 | − | 7.11299i | 0.329150 | − | 0.329150i | −0.523113 | − | 0.852263i | \(-0.675230\pi\) |
0.852263 | + | 0.523113i | \(0.175230\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −21.7449 | + | 4.41438i | −1.00409 | + | 0.203837i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.33002 | 0.107362 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 7.58562 | − | 7.58562i | 0.348787 | − | 0.348787i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.83259 | + | 19.7144i | 0.0840848 | + | 0.904557i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.544449 | − | 0.544449i | −0.0249286 | − | 0.0249286i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 31.7749 | 1.45183 | 0.725917 | − | 0.687782i | \(-0.241416\pi\) | ||||
0.725917 | + | 0.687782i | \(0.241416\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 4.00524i | − | 0.182623i | ||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 8.53477 | − | 12.8827i | 0.388345 | − | 0.586181i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.27287 | − | 27.4453i | −0.0577981 | − | 1.24623i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.81428 | + | 4.81428i | 0.218156 | + | 0.218156i | 0.807721 | − | 0.589565i | \(-0.200701\pi\) |
−0.589565 | + | 0.807721i | \(0.700701\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −14.5305 | −0.657092 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −28.3401 | −1.27897 | −0.639484 | − | 0.768804i | \(-0.720852\pi\) | ||||
−0.639484 | + | 0.768804i | \(0.720852\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.9219 | + | 10.9219i | 0.491897 | + | 0.491897i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.41754 | + | 2.20324i | 0.108660 | + | 0.0990282i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 11.1435 | − | 16.8204i | 0.499855 | − | 0.754497i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 3.39197i | − | 0.151845i | −0.997114 | − | 0.0759227i | \(-0.975810\pi\) | ||
0.997114 | − | 0.0759227i | \(-0.0241902\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.414376 | −0.0185130 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −8.32921 | − | 8.32921i | −0.371381 | − | 0.371381i | 0.496599 | − | 0.867980i | \(-0.334582\pi\) |
−0.867980 | + | 0.496599i | \(0.834582\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −25.3557 | − | 23.1080i | −1.12831 | − | 1.02829i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −8.07761 | + | 8.07761i | −0.358739 | + | 0.358739i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 38.9452 | 1.72622 | 0.863108 | − | 0.505020i | \(-0.168515\pi\) | ||||
0.863108 | + | 0.505020i | \(0.168515\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 24.9852 | − | 5.07217i | 1.10528 | − | 0.224380i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −2.80005 | + | 2.80005i | −0.123625 | + | 0.123625i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 26.2432 | − | 1.21712i | 1.15641 | − | 0.0536328i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.5367 | − | 12.5367i | 0.551364 | − | 0.551364i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 4.88171i | − | 0.214283i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.06726i | 0.309622i | 0.987944 | + | 0.154811i | \(0.0494769\pi\) | ||||
−0.987944 | + | 0.154811i | \(0.950523\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.5887 | + | 14.5887i | 0.637921 | + | 0.637921i | 0.950042 | − | 0.312121i | \(-0.101040\pi\) |
−0.312121 | + | 0.950042i | \(0.601040\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −3.82050 | − | 12.6651i | −0.166740 | − | 0.552749i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −12.8548 | − | 12.8548i | −0.559962 | − | 0.559962i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 11.1150i | − | 0.483261i | ||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 3.19633i | − | 0.138709i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.683611 | + | 0.683611i | −0.0296105 | + | 0.0296105i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −13.8682 | + | 0.643185i | −0.599574 | + | 0.0278073i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.41249 | − | 1.41249i | 0.0609533 | − | 0.0609533i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.99284 | − | 9.42895i | −0.171984 | − | 0.406134i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 18.6013 | 0.799731 | 0.399865 | − | 0.916574i | \(-0.369057\pi\) | ||||
0.399865 | + | 0.916574i | \(0.369057\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.00000 | − | 6.00000i | 0.257485 | − | 0.257485i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 12.3057 | + | 11.2149i | 0.527120 | + | 0.480393i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.22715 | + | 7.22715i | 0.309011 | + | 0.309011i | 0.844526 | − | 0.535515i | \(-0.179882\pi\) |
−0.535515 | + | 0.844526i | \(0.679882\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.42064 | 0.0606315 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 20.5348i | − | 0.874812i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 9.97009 | + | 6.60519i | 0.423971 | + | 0.280881i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5.27193 | − | 4.80460i | −0.223781 | − | 0.203944i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.558927 | − | 0.558927i | −0.0236825 | − | 0.0236825i | 0.695166 | − | 0.718849i | \(-0.255331\pi\) |
−0.718849 | + | 0.695166i | \(0.755331\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.20823 | −0.389467 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.35697 | −0.183951 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 0.702475 | + | 0.702475i | 0.0296058 | + | 0.0296058i | 0.721755 | − | 0.692149i | \(-0.243336\pi\) |
−0.692149 | + | 0.721755i | \(0.743336\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.372772 | − | 8.03762i | −0.0156827 | − | 0.338145i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.46123 | − | 2.20563i | 0.0613659 | − | 0.0926278i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 9.72049i | 0.407504i | 0.979023 | + | 0.203752i | \(0.0653137\pi\) | ||||
−0.979023 | + | 0.203752i | \(0.934686\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.986684 | 0.0412914 | 0.0206457 | − | 0.999787i | \(-0.493428\pi\) | ||||
0.0206457 | + | 0.999787i | \(0.493428\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −5.53964 | − | 5.53964i | −0.231422 | − | 0.231422i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −22.4731 | − | 18.6504i | −0.937192 | − | 0.777774i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.3510 | − | 10.3510i | 0.430917 | − | 0.430917i | −0.458024 | − | 0.888940i | \(-0.651442\pi\) |
0.888940 | + | 0.458024i | \(0.151442\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −19.1792 | −0.797059 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 24.7804 | − | 5.03060i | 1.02807 | − | 0.208705i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.796415 | + | 0.796415i | −0.0329841 | + | 0.0329841i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.130073 | − | 2.80460i | −0.00537785 | − | 0.115956i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −21.1413 | + | 21.1413i | −0.872594 | + | 0.872594i | −0.992755 | − | 0.120160i | \(-0.961659\pi\) |
0.120160 | + | 0.992755i | \(0.461659\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 24.1689i | 0.995862i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 16.2339i | 0.667774i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −7.07816 | − | 7.07816i | −0.290665 | − | 0.290665i | 0.546678 | − | 0.837343i | \(-0.315892\pi\) |
−0.837343 | + | 0.546678i | \(0.815892\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 15.1251 | + | 9.04109i | 0.620067 | + | 0.370649i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −14.2459 | − | 14.2459i | −0.583047 | − | 0.583047i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 7.13847i | 0.291670i | 0.989309 | + | 0.145835i | \(0.0465869\pi\) | ||||
−0.989309 | + | 0.145835i | \(0.953413\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 35.0829i | − | 1.43106i | −0.698580 | − | 0.715532i | \(-0.746185\pi\) | ||
0.698580 | − | 0.715532i | \(-0.253815\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −5.93012 | + | 5.93012i | −0.241493 | + | 0.241493i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −13.3452 | + | 14.6433i | −0.542560 | + | 0.595334i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.36385 | + | 5.36385i | −0.217712 | + | 0.217712i | −0.807533 | − | 0.589822i | \(-0.799198\pi\) |
0.589822 | + | 0.807533i | \(0.299198\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 2.72961 | + | 13.4459i | 0.110609 | + | 0.544854i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −15.2184 | −0.615670 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.4888 | + | 10.4888i | −0.423639 | + | 0.423639i | −0.886454 | − | 0.462816i | \(-0.846839\pi\) |
0.462816 | + | 0.886454i | \(0.346839\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.0797641 | + | 1.71985i | 0.00321640 | + | 0.0693511i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 19.7986 | + | 19.7986i | 0.797060 | + | 0.797060i | 0.982631 | − | 0.185571i | \(-0.0594135\pi\) |
−0.185571 | + | 0.982631i | \(0.559414\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.0675 | −0.485034 | −0.242517 | − | 0.970147i | \(-0.577973\pi\) | ||||
−0.242517 | + | 0.970147i | \(0.577973\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | − | 5.84081i | − | 0.234383i | ||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.75334 | − | 2.64655i | 0.0702462 | − | 0.106032i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.5717 | + | 4.60803i | −0.982866 | + | 0.184321i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.09588 | + | 4.09588i | 0.163574 | + | 0.163574i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 9.50124 | 0.378839 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −30.4435 | −1.21194 | −0.605969 | − | 0.795488i | \(-0.707214\pi\) | ||||
−0.605969 | + | 0.795488i | \(0.707214\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 8.46135 | + | 8.46135i | 0.336309 | + | 0.336309i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −24.8296 | + | 1.15156i | −0.985332 | + | 0.0456982i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.29946 | + | 8.14639i | −0.130729 | + | 0.322772i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 7.62611i | − | 0.301684i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 36.5929 | 1.44533 | 0.722666 | − | 0.691198i | \(-0.242917\pi\) | ||||
0.722666 | + | 0.691198i | \(0.242917\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.1140 | − | 12.1140i | −0.477731 | − | 0.477731i | 0.426675 | − | 0.904405i | \(-0.359685\pi\) |
−0.904405 | + | 0.426675i | \(0.859685\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −11.0460 | + | 12.1204i | −0.434935 | + | 0.477240i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −19.0978 | + | 19.0978i | −0.750814 | + | 0.750814i | −0.974631 | − | 0.223817i | \(-0.928148\pi\) |
0.223817 | + | 0.974631i | \(0.428148\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.67556 | −0.183532 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.21267 | − | 15.8254i | −0.125915 | − | 0.620248i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 20.3709 | − | 20.3709i | 0.797173 | − | 0.797173i | −0.185476 | − | 0.982649i | \(-0.559383\pi\) |
0.982649 | + | 0.185476i | \(0.0593826\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.2172 | + | 9.31151i | 0.399220 | + | 0.363831i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.81378 | − | 6.81378i | 0.265831 | − | 0.265831i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 31.4882i | − | 1.22661i | −0.789847 | − | 0.613304i | \(-0.789840\pi\) | ||
0.789847 | − | 0.613304i | \(-0.210160\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 48.1880i | − | 1.87430i | −0.348931 | − | 0.937149i | \(-0.613455\pi\) | ||
0.348931 | − | 0.937149i | \(-0.386545\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 2.64448 | + | 2.64448i | 0.102703 | + | 0.102703i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −5.71939 | − | 22.7180i | −0.221789 | − | 0.880967i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 21.4174 | + | 21.4174i | 0.829286 | + | 0.829286i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.934668i | 0.0361364i | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 2.07810i | − | 0.0802241i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −30.6900 | + | 30.6900i | −1.18301 | + | 1.18301i | −0.204055 | + | 0.978960i | \(0.565412\pi\) |
−0.978960 | + | 0.204055i | \(0.934588\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3.84760 | − | 3.19312i | −0.148094 | − | 0.122903i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 1.54060 | − | 1.54060i | 0.0592101 | − | 0.0592101i | −0.676882 | − | 0.736092i | \(-0.736669\pi\) |
0.736092 | + | 0.676882i | \(0.236669\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.46755 | + | 31.8587i | 0.248202 | + | 1.22263i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 24.5348 | 0.940174 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −14.2154 | + | 14.2154i | −0.543936 | + | 0.543936i | −0.924680 | − | 0.380744i | \(-0.875668\pi\) |
0.380744 | + | 0.924680i | \(0.375668\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 28.6057 | − | 1.32669i | 1.09297 | − | 0.0506903i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −17.7330 | − | 17.7330i | −0.676555 | − | 0.676555i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.966772 | 0.0368311 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 10.2887i | − | 0.391401i | −0.980664 | − | 0.195700i | \(-0.937302\pi\) | ||
0.980664 | − | 0.195700i | \(-0.0626980\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −3.22637 | − | 2.13747i | −0.122560 | − | 0.0811959i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −18.0611 | + | 19.8179i | −0.685098 | + | 0.751736i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.62166 | − | 1.62166i | −0.0614248 | − | 0.0614248i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −3.16979 | −0.119892 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −44.3183 | −1.67388 | −0.836939 | − | 0.547297i | \(-0.815657\pi\) | ||||
−0.836939 | + | 0.547297i | \(0.815657\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −8.93189 | − | 8.93189i | −0.336872 | − | 0.336872i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −18.2556 | + | 20.0313i | −0.687546 | + | 0.754422i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 33.8389 | + | 22.4183i | 1.27264 | + | 0.843126i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | − | 0.817976i | − | 0.0307197i | −0.999882 | − | 0.0153599i | \(-0.995111\pi\) | ||
0.999882 | − | 0.0153599i | \(-0.00488939\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.52029 | 0.169524 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −25.2077 | − | 25.2077i | −0.944037 | − | 0.944037i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.10253 | + | 0.190269i | −0.153426 | + | 0.00711567i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 15.1158 | − | 15.1158i | 0.564509 | − | 0.564509i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.00762056 | 0.000284199 | 0.000142099 | − | 1.00000i | \(-0.499955\pi\) | ||||
0.000142099 | 1.00000i | \(0.499955\pi\) | ||||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −30.4634 | + | 6.18428i | −1.13452 | + | 0.230315i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.441326 | − | 0.441326i | 0.0164131 | − | 0.0164131i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 25.8173 | − | 2.39990i | 0.958831 | − | 0.0891300i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 28.5738 | − | 28.5738i | 1.05974 | − | 1.05974i | 0.0616465 | − | 0.998098i | \(-0.480365\pi\) |
0.998098 | − | 0.0616465i | \(-0.0196352\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 21.8438i | − | 0.807921i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.1522 | + | 24.1522i | 0.892083 | + | 0.892083i | 0.994719 | − | 0.102636i | \(-0.0327275\pi\) |
−0.102636 | + | 0.994719i | \(0.532728\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 6.76479 | + | 14.1152i | 0.249523 | + | 0.520645i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 8.67452 | + | 8.67452i | 0.319530 | + | 0.319530i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 37.9522i | 1.39609i | 0.716052 | + | 0.698047i | \(0.245947\pi\) | ||||
−0.716052 | + | 0.698047i | \(0.754053\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 4.97202i | − | 0.182652i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 18.8022 | − | 18.8022i | 0.689784 | − | 0.689784i | −0.272400 | − | 0.962184i | \(-0.587817\pi\) |
0.962184 | + | 0.272400i | \(0.0878174\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.160024 | − | 0.145838i | −0.00586282 | − | 0.00534311i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 6.75794 | − | 6.75794i | 0.247260 | − | 0.247260i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 16.0983 | − | 3.26807i | 0.588220 | − | 0.119413i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.105915 | −0.00386490 | −0.00193245 | − | 0.999998i | \(-0.500615\pi\) | ||||
−0.00193245 | + | 0.999998i | \(0.500615\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 11.5572 | − | 11.5572i | 0.421167 | − | 0.421167i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 20.2657 | − | 22.2369i | 0.737545 | − | 0.809284i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.14514 | + | 3.14514i | 0.114312 | + | 0.114312i | 0.761949 | − | 0.647637i | \(-0.224243\pi\) |
−0.647637 | + | 0.761949i | \(0.724243\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −8.54387 | −0.310123 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 35.1123i | − | 1.27282i | −0.771351 | − | 0.636410i | \(-0.780419\pi\) | ||
0.771351 | − | 0.636410i | \(-0.219581\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −16.4228 | − | 10.8801i | −0.594547 | − | 0.393887i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 6.65306 | − | 0.308559i | 0.240542 | − | 0.0111560i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 2.83784 | + | 2.83784i | 0.102469 | + | 0.102469i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −8.16835 | −0.294558 | −0.147279 | − | 0.989095i | \(-0.547052\pi\) | ||||
−0.147279 | + | 0.989095i | \(0.547052\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 30.1304 | 1.08512 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 2.51166 | + | 2.51166i | 0.0903382 | + | 0.0903382i | 0.750832 | − | 0.660494i | \(-0.229653\pi\) |
−0.660494 | + | 0.750832i | \(0.729653\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −30.3863 | + | 2.82462i | −1.09151 | + | 0.101463i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 7.03574 | + | 4.66118i | 0.252406 | + | 0.167219i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 3.04897i | 0.109241i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −11.1554 | −0.399171 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.66686 | + | 3.66686i | 0.131043 | + | 0.131043i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.241377 | + | 5.20449i | 0.00861510 | + | 0.185756i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 12.7347 | − | 12.7347i | 0.453943 | − | 0.453943i | −0.442718 | − | 0.896661i | \(-0.645986\pi\) |
0.896661 | + | 0.442718i | \(0.145986\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −23.1151 | −0.822920 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1.89408 | + | 9.33014i | 0.0673459 | + | 0.331742i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.26131 | + | 1.26131i | −0.0447903 | + | 0.0447903i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1.15972 | − | 1.27252i | 0.0411309 | − | 0.0451316i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −23.3462 | + | 23.3462i | −0.826967 | + | 0.826967i | −0.987096 | − | 0.160129i | \(-0.948809\pi\) |
0.160129 | + | 0.987096i | \(0.448809\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 36.1010i | − | 1.27716i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | − | 1.19991i | − | 0.0423967i | ||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −9.96713 | − | 9.96713i | −0.351732 | − | 0.351732i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 29.6597 | + | 17.7293i | 1.04537 | + | 0.624874i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −11.7311 | − | 11.7311i | −0.412955 | − | 0.412955i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 27.8210i | − | 0.978135i | −0.872246 | − | 0.489067i | \(-0.837337\pi\) | ||
0.872246 | − | 0.489067i | \(-0.162663\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 5.12216i | − | 0.179863i | −0.995948 | − | 0.0899317i | \(-0.971335\pi\) | ||
0.995948 | − | 0.0899317i | \(-0.0286649\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.50152 | − | 5.50152i | 0.192947 | − | 0.192947i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.50528 | − | 32.4563i | −0.0527275 | − | 1.13690i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −20.5348 | + | 20.5348i | −0.718421 | + | 0.718421i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.660910 | + | 3.25560i | 0.0230941 | + | 0.113760i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −26.1405 | −0.912308 | −0.456154 | − | 0.889901i | \(-0.650773\pi\) | ||||
−0.456154 | + | 0.889901i | \(0.650773\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.7296 | + | 13.7296i | −0.478583 | + | 0.478583i | −0.904678 | − | 0.426095i | \(-0.859889\pi\) |
0.426095 | + | 0.904678i | \(0.359889\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −4.67086 | + | 5.62823i | −0.162618 | + | 0.195950i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −15.7484 | − | 15.7484i | −0.547624 | − | 0.547624i | 0.378129 | − | 0.925753i | \(-0.376568\pi\) |
−0.925753 | + | 0.378129i | \(0.876568\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −47.2996 | −1.64278 | −0.821392 | − | 0.570365i | \(-0.806802\pi\) | ||||
−0.821392 | + | 0.570365i | \(0.806802\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − | 30.1378i | − | 1.04547i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −19.3249 | − | 7.82698i | −0.669567 | − | 0.271189i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.0429270 | − | 0.925579i | −0.00148555 | − | 0.0320310i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −4.31580 | − | 4.31580i | −0.149176 | − | 0.149176i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 10.8244 | 0.373699 | 0.186850 | − | 0.982389i | \(-0.440172\pi\) | ||||
0.186850 | + | 0.982389i | \(0.440172\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.10826 | 0.0726986 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 14.9566 | + | 14.9566i | 0.515134 | + | 0.515134i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −18.8795 | − | 17.2059i | −0.649474 | − | 0.591901i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 12.9469 | − | 19.5424i | 0.444860 | − | 0.671486i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 3.75433i | − | 0.128848i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 18.6316 | 0.638683 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −33.5751 | − | 33.5751i | −1.14959 | − | 1.14959i | −0.986633 | − | 0.162958i | \(-0.947897\pi\) |
−0.162958 | − | 0.986633i | \(-0.552103\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −6.54445 | − | 5.96431i | −0.223815 | − | 0.203975i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −8.92479 | + | 8.92479i | −0.304865 | + | 0.304865i | −0.842914 | − | 0.538049i | \(-0.819162\pi\) |
0.538049 | + | 0.842914i | \(0.319162\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 20.3701 | 0.695020 | 0.347510 | − | 0.937676i | \(-0.387027\pi\) | ||||
0.347510 | + | 0.937676i | \(0.387027\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.405287 | − | 1.99642i | −0.0138122 | − | 0.0680378i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 14.9014 | − | 14.9014i | 0.507250 | − | 0.507250i | −0.406431 | − | 0.913681i | \(-0.633227\pi\) |
0.913681 | + | 0.406431i | \(0.133227\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.9041 | − | 0.505716i | 0.370751 | − | 0.0171949i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 5.74759 | − | 5.74759i | 0.195198 | − | 0.195198i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 6.61223i | − | 0.224305i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 10.5301i | − | 0.356797i | ||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 8.68829 | + | 8.68829i | 0.294054 | + | 0.294054i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 27.8937 | − | 9.84575i | 0.942981 | − | 0.332847i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 23.4634 | + | 23.4634i | 0.792302 | + | 0.792302i | 0.981868 | − | 0.189566i | \(-0.0607080\pi\) |
−0.189566 | + | 0.981868i | \(0.560708\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 2.21628i | − | 0.0747532i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 34.9639i | 1.17796i | 0.808147 | + | 0.588981i | \(0.200471\pi\) | ||||
−0.808147 | + | 0.588981i | \(0.799529\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.3814 | + | 19.3814i | −0.652235 | + | 0.652235i | −0.953531 | − | 0.301295i | \(-0.902581\pi\) |
0.301295 | + | 0.953531i | \(0.402581\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 7.13953 | − | 0.331121i | 0.239993 | − | 0.0111305i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −19.2450 | + | 19.2450i | −0.646184 | + | 0.646184i | −0.952069 | − | 0.305884i | \(-0.901048\pi\) |
0.305884 | + | 0.952069i | \(0.401048\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 28.8224 | − | 5.85116i | 0.966673 | − | 0.196242i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.46279 | −0.0490053 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −33.9377 | + | 33.9377i | −1.13568 | + | 1.13568i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.30135 | + | 3.00870i | 0.110352 | + | 0.100570i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 5.18572 | + | 5.18572i | 0.173146 | + | 0.173146i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 31.6509 | 1.05562 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.29338i | 0.0764035i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 10.7163 | − | 16.1755i | 0.356615 | − | 0.538286i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 14.0236 | + | 12.7804i | 0.466159 | + | 0.424836i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 14.8842 | + | 14.8842i | 0.494220 | + | 0.494220i | 0.909633 | − | 0.415413i | \(-0.136363\pi\) |
−0.415413 | + | 0.909633i | \(0.636363\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 15.3420 | 0.508863 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 23.7484 | 0.786819 | 0.393410 | − | 0.919363i | \(-0.371295\pi\) | ||||
0.393410 | + | 0.919363i | \(0.371295\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.88545 | − | 9.88545i | −0.327161 | − | 0.327161i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.147170 | + | 3.17324i | 0.00486529 | + | 0.104904i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −13.6356 | − | 9.03357i | −0.450286 | − | 0.298315i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 35.7695i | 1.17993i | 0.807430 | + | 0.589964i | \(0.200858\pi\) | ||||
−0.807430 | + | 0.589964i | \(0.799142\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 24.5439 | 0.808748 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 6.77080 | + | 6.77080i | 0.222863 | + | 0.222863i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.1857 | − | 12.2735i | 0.334905 | − | 0.403549i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −8.30776 | + | 8.30776i | −0.272863 | + | 0.272863i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 5.58936 | 0.183381 | 0.0916905 | − | 0.995788i | \(-0.470773\pi\) | ||||
0.0916905 | + | 0.995788i | \(0.470773\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10.8089 | + | 25.5248i | 0.354247 | + | 0.836542i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 21.9662 | − | 21.9662i | 0.719140 | − | 0.719140i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.451357 | − | 9.73202i | −0.0147609 | − | 0.318271i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 20.4143 | − | 20.4143i | 0.666906 | − | 0.666906i | −0.290092 | − | 0.956999i | \(-0.593686\pi\) |
0.956999 | + | 0.290092i | \(0.0936861\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 8.09533i | 0.264181i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 17.1143i | 0.557910i | 0.960304 | + | 0.278955i | \(0.0899880\pi\) | ||||
−0.960304 | + | 0.278955i | \(0.910012\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3.18002 | − | 3.18002i | −0.103556 | − | 0.103556i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 5.07802 | + | 3.03541i | 0.165188 | + | 0.0987420i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −6.82151 | − | 6.82151i | −0.221669 | − | 0.221669i | 0.587532 | − | 0.809201i | \(-0.300100\pi\) |
−0.809201 | + | 0.587532i | \(0.800100\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 12.0991i | 0.392755i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 1.06431i | − | 0.0345125i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 30.7169 | − | 30.7169i | 0.995017 | − | 0.995017i | −0.00497101 | − | 0.999988i | \(-0.501582\pi\) |
0.999988 | + | 0.00497101i | \(0.00158233\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 11.7998 | − | 12.9476i | 0.381834 | − | 0.418974i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 5.36385 | − | 5.36385i | 0.173389 | − | 0.173389i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −33.2058 | + | 6.74102i | −1.07227 | + | 0.217679i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6.25222 | −0.201684 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.39022 | − | 4.39022i | 0.141473 | − | 0.141473i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.98685 | − | 42.8399i | −0.0639589 | − | 1.37906i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −24.6730 | − | 24.6730i | −0.793431 | − | 0.793431i | 0.188619 | − | 0.982050i | \(-0.439599\pi\) |
−0.982050 | + | 0.188619i | \(0.939599\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 11.7946 | 0.378898 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 21.2020i | − | 0.680404i | −0.940352 | − | 0.340202i | \(-0.889504\pi\) | ||
0.940352 | − | 0.340202i | \(-0.110496\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 17.5220 | − | 26.4483i | 0.561731 | − | 0.847895i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 6.25106 | − | 0.581079i | 0.200194 | − | 0.0186094i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 8.19657 | + | 8.19657i | 0.262231 | + | 0.262231i | 0.825960 | − | 0.563729i | \(-0.190634\pi\) |
−0.563729 | + | 0.825960i | \(0.690634\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.75521 | −0.0560969 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −7.44587 | −0.237728 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −1.74914 | − | 1.74914i | −0.0557891 | − | 0.0557891i | 0.678662 | − | 0.734451i | \(-0.262560\pi\) |
−0.734451 | + | 0.678662i | \(0.762560\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −36.2612 | + | 1.68174i | −1.15538 | + | 0.0535847i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 17.7107 | − | 26.7331i | 0.563738 | − | 0.850924i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 42.8348i | − | 1.36207i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 37.1253 | 1.17932 | 0.589662 | − | 0.807650i | \(-0.299261\pi\) | ||||
0.589662 | + | 0.807650i | \(0.299261\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 11.1781 | + | 11.1781i | 0.354727 | + | 0.354727i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 30.3449 | − | 33.2964i | 0.961996 | − | 1.05557i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 40.5538 | − | 40.5538i | 1.28435 | − | 1.28435i | 0.346186 | − | 0.938166i | \(-0.387476\pi\) |
0.938166 | − | 0.346186i | \(-0.112524\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 3.18990 | 0.100924 |
(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.97.3 | 16 | ||
4.3 | odd | 2 | 105.2.m.a.97.2 | yes | 16 | ||
5.3 | odd | 4 | inner | 1680.2.cz.d.433.6 | 16 | ||
7.6 | odd | 2 | inner | 1680.2.cz.d.97.6 | 16 | ||
12.11 | even | 2 | 315.2.p.e.307.7 | 16 | |||
20.3 | even | 4 | 105.2.m.a.13.1 | ✓ | 16 | ||
20.7 | even | 4 | 525.2.m.b.118.8 | 16 | |||
20.19 | odd | 2 | 525.2.m.b.307.7 | 16 | |||
28.3 | even | 6 | 735.2.v.a.607.7 | 32 | |||
28.11 | odd | 6 | 735.2.v.a.607.8 | 32 | |||
28.19 | even | 6 | 735.2.v.a.472.2 | 32 | |||
28.23 | odd | 6 | 735.2.v.a.472.1 | 32 | |||
28.27 | even | 2 | 105.2.m.a.97.1 | yes | 16 | ||
35.13 | even | 4 | inner | 1680.2.cz.d.433.3 | 16 | ||
60.23 | odd | 4 | 315.2.p.e.118.8 | 16 | |||
84.83 | odd | 2 | 315.2.p.e.307.8 | 16 | |||
140.3 | odd | 12 | 735.2.v.a.313.1 | 32 | |||
140.23 | even | 12 | 735.2.v.a.178.7 | 32 | |||
140.27 | odd | 4 | 525.2.m.b.118.7 | 16 | |||
140.83 | odd | 4 | 105.2.m.a.13.2 | yes | 16 | ||
140.103 | odd | 12 | 735.2.v.a.178.8 | 32 | |||
140.123 | even | 12 | 735.2.v.a.313.2 | 32 | |||
140.139 | even | 2 | 525.2.m.b.307.8 | 16 | |||
420.83 | even | 4 | 315.2.p.e.118.7 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.m.a.13.1 | ✓ | 16 | 20.3 | even | 4 | ||
105.2.m.a.13.2 | yes | 16 | 140.83 | odd | 4 | ||
105.2.m.a.97.1 | yes | 16 | 28.27 | even | 2 | ||
105.2.m.a.97.2 | yes | 16 | 4.3 | odd | 2 | ||
315.2.p.e.118.7 | 16 | 420.83 | even | 4 | |||
315.2.p.e.118.8 | 16 | 60.23 | odd | 4 | |||
315.2.p.e.307.7 | 16 | 12.11 | even | 2 | |||
315.2.p.e.307.8 | 16 | 84.83 | odd | 2 | |||
525.2.m.b.118.7 | 16 | 140.27 | odd | 4 | |||
525.2.m.b.118.8 | 16 | 20.7 | even | 4 | |||
525.2.m.b.307.7 | 16 | 20.19 | odd | 2 | |||
525.2.m.b.307.8 | 16 | 140.139 | even | 2 | |||
735.2.v.a.178.7 | 32 | 140.23 | even | 12 | |||
735.2.v.a.178.8 | 32 | 140.103 | odd | 12 | |||
735.2.v.a.313.1 | 32 | 140.3 | odd | 12 | |||
735.2.v.a.313.2 | 32 | 140.123 | even | 12 | |||
735.2.v.a.472.1 | 32 | 28.23 | odd | 6 | |||
735.2.v.a.472.2 | 32 | 28.19 | even | 6 | |||
735.2.v.a.607.7 | 32 | 28.3 | even | 6 | |||
735.2.v.a.607.8 | 32 | 28.11 | odd | 6 | |||
1680.2.cz.d.97.3 | 16 | 1.1 | even | 1 | trivial | ||
1680.2.cz.d.97.6 | 16 | 7.6 | odd | 2 | inner | ||
1680.2.cz.d.433.3 | 16 | 35.13 | even | 4 | inner | ||
1680.2.cz.d.433.6 | 16 | 5.3 | odd | 4 | inner |