Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [140,2,Mod(9,140)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(140, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("140.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 140 = 2^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 140.q (of order \(6\), degree \(2\), 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: | \(1.11790562830\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-19})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - 4x^{2} - 5x + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 109.2 | ||
Root | \(-1.63746 + 1.52274i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 140.109 |
Dual form | 140.2.q.b.9.1 |
$q$-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 \(\left(\mathbb{Z}/140\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(101\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.50000 | + | 0.866025i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.500000 | + | 2.17945i | −0.223607 | + | 0.974679i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.13746 | + | 2.38876i | −0.429919 | + | 0.902867i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.63746 | − | 4.56821i | 0.795224 | − | 1.37737i | −0.127473 | − | 0.991842i | \(-0.540687\pi\) |
0.922697 | − | 0.385526i | \(-0.125980\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 2.62685i | − | 0.728557i | −0.931290 | − | 0.364278i | \(-0.881316\pi\) | ||
0.931290 | − | 0.364278i | \(-0.118684\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.63746 | + | 2.83616i | −0.680989 | + | 0.732294i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.362541 | − | 0.209313i | −0.0879292 | − | 0.0507659i | 0.455391 | − | 0.890292i | \(-0.349500\pi\) |
−0.543320 | + | 0.839526i | \(0.682833\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.63746 | + | 2.83616i | 0.375659 | + | 0.650660i | 0.990425 | − | 0.138049i | \(-0.0440831\pi\) |
−0.614767 | + | 0.788709i | \(0.710750\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.77492 | + | 2.59808i | −0.823754 | + | 0.566947i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.77492 | − | 3.91150i | 1.41267 | − | 0.815604i | 0.417029 | − | 0.908893i | \(-0.363071\pi\) |
0.995639 | + | 0.0932891i | \(0.0297381\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.50000 | − | 2.17945i | −0.900000 | − | 0.435890i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 5.19615i | − | 1.00000i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.27492 | −0.793832 | −0.396916 | − | 0.917855i | \(-0.629920\pi\) | ||||
−0.396916 | + | 0.917855i | \(0.629920\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.63746 | + | 2.83616i | −0.294096 | + | 0.509390i | −0.974774 | − | 0.223193i | \(-0.928352\pi\) |
0.680678 | + | 0.732583i | \(0.261685\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 7.91238 | − | 4.56821i | 1.37737 | − | 0.795224i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −4.63746 | − | 3.67341i | −0.783874 | − | 0.620920i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.63746 | + | 4.98684i | −1.41999 | + | 0.819831i | −0.996297 | − | 0.0859750i | \(-0.972599\pi\) |
−0.423692 | + | 0.905806i | \(0.639266\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.27492 | − | 3.94027i | 0.364278 | − | 0.630949i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.72508 | −0.581760 | −0.290880 | − | 0.956760i | \(-0.593948\pi\) | ||||
−0.290880 | + | 0.956760i | \(0.593948\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.15068i | 0.327975i | 0.986462 | + | 0.163988i | \(0.0524357\pi\) | ||||
−0.986462 | + | 0.163988i | \(0.947564\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.63746 | − | 3.25479i | 0.822308 | − | 0.474760i | −0.0289038 | − | 0.999582i | \(-0.509202\pi\) |
0.851212 | + | 0.524823i | \(0.175868\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.41238 | − | 5.43424i | −0.630339 | − | 0.776320i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.362541 | − | 0.627940i | −0.0507659 | − | 0.0879292i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.91238 | − | 2.83616i | −0.674767 | − | 0.389577i | 0.123114 | − | 0.992393i | \(-0.460712\pi\) |
−0.797880 | + | 0.602816i | \(0.794045\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 8.63746 | + | 8.03231i | 1.16467 | + | 1.08308i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 5.67232i | 0.751318i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.63746 | + | 2.83616i | −0.213179 | + | 0.369237i | −0.952708 | − | 0.303888i | \(-0.901715\pi\) |
0.739529 | + | 0.673125i | \(0.235048\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.77492 | + | 11.7345i | 0.867439 | + | 1.50245i | 0.864605 | + | 0.502453i | \(0.167569\pi\) |
0.00283468 | + | 0.999996i | \(0.499098\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 5.72508 | + | 1.31342i | 0.710109 | + | 0.162910i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.04983 | − | 1.76082i | −0.372597 | − | 0.215119i | 0.301996 | − | 0.953309i | \(-0.402347\pi\) |
−0.674592 | + | 0.738191i | \(0.735681\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 13.5498 | 1.63121 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.54983 | −0.539966 | −0.269983 | − | 0.962865i | \(-0.587018\pi\) | ||||
−0.269983 | + | 0.962865i | \(0.587018\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.63746 | + | 3.25479i | 0.659815 | + | 0.380944i | 0.792206 | − | 0.610253i | \(-0.208932\pi\) |
−0.132392 | + | 0.991197i | \(0.542266\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.86254 | − | 7.16629i | −0.561478 | − | 0.827492i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 7.91238 | + | 11.4964i | 0.901699 | + | 1.31014i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.63746 | + | 6.30026i | 0.409246 | + | 0.708835i | 0.994805 | − | 0.101795i | \(-0.0324584\pi\) |
−0.585559 | + | 0.810630i | \(0.699125\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.50000 | − | 7.79423i | 0.500000 | − | 0.866025i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 7.40437i | 0.812736i | 0.913710 | + | 0.406368i | \(0.133205\pi\) | ||||
−0.913710 | + | 0.406368i | \(0.866795\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.637459 | − | 0.685484i | 0.0691421 | − | 0.0743512i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −6.41238 | − | 3.70219i | −0.687479 | − | 0.396916i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.50000 | − | 6.06218i | −0.370999 | − | 0.642590i | 0.618720 | − | 0.785611i | \(-0.287651\pi\) |
−0.989720 | + | 0.143022i | \(0.954318\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.27492 | + | 2.98793i | 0.657790 | + | 0.313220i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.91238 | + | 2.83616i | −0.509390 | + | 0.294096i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −7.00000 | + | 2.15068i | −0.718185 | + | 0.220655i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 6.92820i | − | 0.703452i | −0.936103 | − | 0.351726i | \(-0.885595\pi\) | ||
0.936103 | − | 0.351726i | \(-0.114405\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.77492 | − | 11.7345i | 0.674129 | − | 1.16763i | −0.302593 | − | 0.953120i | \(-0.597852\pi\) |
0.976723 | − | 0.214507i | \(-0.0688144\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.77492 | + | 5.64355i | −0.963151 | + | 0.556076i | −0.897141 | − | 0.441743i | \(-0.854360\pi\) |
−0.0660098 | + | 0.997819i | \(0.521027\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.77492 | − | 9.52628i | −0.368394 | − | 0.929670i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.04983 | − | 1.76082i | 0.294839 | − | 0.170225i | −0.345283 | − | 0.938499i | \(-0.612217\pi\) |
0.640122 | + | 0.768273i | \(0.278884\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.77492 | + | 10.0025i | −0.553137 | + | 0.958061i | 0.444909 | + | 0.895576i | \(0.353236\pi\) |
−0.998046 | + | 0.0624852i | \(0.980097\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −17.2749 | −1.63966 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 4.30136i | − | 0.404637i | −0.979320 | − | 0.202319i | \(-0.935152\pi\) | ||
0.979320 | − | 0.202319i | \(-0.0648477\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.13746 | + | 16.7213i | 0.479070 | + | 1.55927i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.912376 | − | 0.627940i | 0.0836374 | − | 0.0575632i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.41238 | − | 14.5707i | −0.764761 | − | 1.32461i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5.58762 | − | 3.22602i | −0.503819 | − | 0.290880i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 7.00000 | − | 8.71780i | 0.626099 | − | 0.779744i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 15.6460i | − | 1.38836i | −0.719802 | − | 0.694179i | \(-0.755768\pi\) | ||
0.719802 | − | 0.694179i | \(-0.244232\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.86254 | + | 3.22602i | −0.163988 | + | 0.284035i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.36254 | + | 9.28819i | 0.468527 | + | 0.811513i | 0.999353 | − | 0.0359678i | \(-0.0114514\pi\) |
−0.530826 | + | 0.847481i | \(0.678118\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.63746 | + | 0.685484i | −0.748963 | + | 0.0594390i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 11.3248 | + | 2.59808i | 0.974679 | + | 0.223607i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 18.4622 | + | 10.6592i | 1.57733 | + | 0.910674i | 0.995230 | + | 0.0975588i | \(0.0311034\pi\) |
0.582103 | + | 0.813115i | \(0.302230\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.0997 | −1.11110 | −0.555550 | − | 0.831483i | \(-0.687492\pi\) | ||||
−0.555550 | + | 0.831483i | \(0.687492\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.2749 | 0.949519 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −12.0000 | − | 6.92820i | −1.00349 | − | 0.579365i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.13746 | − | 9.31697i | 0.177506 | − | 0.773732i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.91238 | − | 11.9726i | −0.157730 | − | 0.987482i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.77492 | − | 6.53835i | −0.309253 | − | 0.535642i | 0.668946 | − | 0.743311i | \(-0.266746\pi\) |
−0.978199 | + | 0.207669i | \(0.933412\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.36254 | − | 11.0202i | 0.517776 | − | 0.896815i | −0.482011 | − | 0.876165i | \(-0.660093\pi\) |
0.999787 | − | 0.0206494i | \(-0.00657337\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.36254 | − | 4.98684i | −0.430730 | − | 0.400553i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.91238 | + | 1.10411i | 0.152624 | + | 0.0881176i | 0.574367 | − | 0.818598i | \(-0.305248\pi\) |
−0.421743 | + | 0.906715i | \(0.638582\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −4.91238 | − | 8.50848i | −0.389577 | − | 0.674767i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.63746 | + | 20.6328i | 0.129050 | + | 1.62610i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.91238 | + | 2.83616i | −0.384767 | + | 0.222145i | −0.679890 | − | 0.733314i | \(-0.737973\pi\) |
0.295123 | + | 0.955459i | \(0.404639\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.00000 | + | 19.5287i | 0.467099 | + | 1.52031i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | − | 0.476171i | − | 0.0368472i | −0.999830 | − | 0.0184236i | \(-0.994135\pi\) | ||
0.999830 | − | 0.0184236i | \(-0.00586474\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.09967 | 0.469205 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −17.7371 | + | 10.2405i | −1.34853 | + | 0.778573i | −0.988041 | − | 0.154190i | \(-0.950723\pi\) |
−0.360488 | + | 0.932764i | \(0.617390\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 10.3248 | − | 8.27040i | 0.780478 | − | 0.625183i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.91238 | + | 2.83616i | −0.369237 | + | 0.213179i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −3.63746 | + | 6.30026i | −0.271876 | + | 0.470904i | −0.969342 | − | 0.245714i | \(-0.920978\pi\) |
0.697466 | + | 0.716618i | \(0.254311\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −24.2749 | −1.80434 | −0.902170 | − | 0.431380i | \(-0.858027\pi\) | ||||
−0.902170 | + | 0.431380i | \(0.858027\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 23.4690i | 1.73488i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −6.54983 | − | 21.3183i | −0.481553 | − | 1.56735i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.91238 | + | 1.10411i | −0.139847 | + | 0.0807406i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 12.4124 | + | 5.91041i | 0.902867 | + | 0.429919i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.0876242 | − | 0.151770i | −0.00634026 | − | 0.0109817i | 0.862838 | − | 0.505481i | \(-0.168685\pi\) |
−0.869178 | + | 0.494499i | \(0.835352\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 18.4622 | + | 10.6592i | 1.32894 | + | 0.767263i | 0.985136 | − | 0.171778i | \(-0.0549513\pi\) |
0.343803 | + | 0.939042i | \(0.388285\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 7.45017 | + | 6.92820i | 0.533517 | + | 0.496139i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.60271i | 0.612918i | 0.951884 | + | 0.306459i | \(0.0991442\pi\) | ||||
−0.951884 | + | 0.306459i | \(0.900856\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.63746 | − | 14.9605i | 0.612293 | − | 1.06052i | −0.378560 | − | 0.925577i | \(-0.623581\pi\) |
0.990853 | − | 0.134946i | \(-0.0430861\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.04983 | − | 5.28247i | −0.215119 | − | 0.372597i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 4.86254 | − | 10.2118i | 0.341284 | − | 0.716725i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.86254 | − | 8.11863i | 0.130086 | − | 0.567030i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 17.2749 | 1.19493 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 25.6495 | 1.76578 | 0.882892 | − | 0.469576i | \(-0.155593\pi\) | ||||
0.882892 | + | 0.469576i | \(0.155593\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −6.82475 | − | 3.94027i | −0.467624 | − | 0.269983i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −4.68729 | − | 1.07534i | −0.319671 | − | 0.0733375i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.91238 | − | 7.13752i | −0.333474 | − | 0.484526i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.63746 | + | 9.76436i | 0.380944 | + | 0.659815i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.549834 | + | 0.952341i | −0.0369859 | + | 0.0640614i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.71780i | 0.583787i | 0.956451 | + | 0.291893i | \(0.0942853\pi\) | ||||
−0.956451 | + | 0.291893i | \(0.905715\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 16.9124 | + | 9.76436i | 1.12251 | + | 0.648084i | 0.942041 | − | 0.335496i | \(-0.108904\pi\) |
0.180472 | + | 0.983580i | \(0.442237\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.63746 | + | 2.83616i | 0.108206 | + | 0.187419i | 0.915044 | − | 0.403355i | \(-0.132156\pi\) |
−0.806837 | + | 0.590774i | \(0.798823\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.91238 | + | 24.0969i | 0.125825 | + | 1.58546i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −12.3625 | + | 7.13752i | −0.809897 | + | 0.467594i | −0.846920 | − | 0.531720i | \(-0.821546\pi\) |
0.0370231 | + | 0.999314i | \(0.488212\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.27492 | + | 13.9140i | 0.278865 | + | 0.907646i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 12.6005i | 0.818492i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.549834 | −0.0355658 | −0.0177829 | − | 0.999842i | \(-0.505661\pi\) | ||||
−0.0177829 | + | 0.999842i | \(0.505661\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.91238 | + | 8.50848i | −0.316434 | + | 0.548080i | −0.979741 | − | 0.200267i | \(-0.935819\pi\) |
0.663307 | + | 0.748347i | \(0.269152\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 14.0498 | − | 6.89943i | 0.897611 | − | 0.440788i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.45017 | − | 4.30136i | 0.474043 | − | 0.273689i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −6.41238 | + | 11.1066i | −0.406368 | + | 0.703850i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −20.5498 | −1.29709 | −0.648547 | − | 0.761175i | \(-0.724623\pi\) | ||||
−0.648547 | + | 0.761175i | \(0.724623\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 41.2657i | − | 2.59435i | ||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.54983 | − | 0.476171i | 0.0970544 | − | 0.0298190i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −10.0876 | + | 5.82409i | −0.629249 | + | 0.363297i | −0.780461 | − | 0.625204i | \(-0.785016\pi\) |
0.151212 | + | 0.988501i | \(0.451682\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.08762 | − | 26.3052i | −0.129719 | − | 1.63452i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.675248 | + | 0.389855i | 0.0416376 | + | 0.0240395i | 0.520674 | − | 0.853755i | \(-0.325681\pi\) |
−0.479037 | + | 0.877795i | \(0.659014\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.63746 | − | 9.28819i | 0.530595 | − | 0.570569i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 12.1244i | − | 0.741999i | ||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −7.22508 | + | 12.5142i | −0.440521 | + | 0.763005i | −0.997728 | − | 0.0673687i | \(-0.978540\pi\) |
0.557207 | + | 0.830374i | \(0.311873\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.91238 | − | 8.50848i | −0.298406 | − | 0.516854i | 0.677366 | − | 0.735646i | \(-0.263121\pi\) |
−0.975771 | + | 0.218793i | \(0.929788\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.82475 | + | 9.91613i | 0.413053 | + | 0.600152i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −21.8248 | + | 14.8087i | −1.31608 | + | 0.893001i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.3625 | − | 7.13752i | −0.742793 | − | 0.428852i | 0.0802909 | − | 0.996771i | \(-0.474415\pi\) |
−0.823084 | + | 0.567920i | \(0.807748\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.00000 | 0.357930 | 0.178965 | − | 0.983855i | \(-0.442725\pi\) | ||||
0.178965 | + | 0.983855i | \(0.442725\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.46221 | + | 5.46301i | 0.562470 | + | 0.324742i | 0.754136 | − | 0.656718i | \(-0.228056\pi\) |
−0.191666 | + | 0.981460i | \(0.561389\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −12.3625 | − | 2.83616i | −0.732294 | − | 0.168000i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.23713 | − | 8.89834i | 0.250110 | − | 0.525252i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.41238 | − | 14.5707i | −0.494846 | − | 0.857098i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 6.00000 | − | 10.3923i | 0.351726 | − | 0.609208i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 6.92820i | − | 0.404750i | −0.979308 | − | 0.202375i | \(-0.935134\pi\) | ||
0.979308 | − | 0.202375i | \(-0.0648660\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.36254 | − | 4.98684i | −0.312219 | − | 0.290345i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −23.7371 | − | 13.7046i | −1.37737 | − | 0.795224i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −10.2749 | − | 17.7967i | −0.594214 | − | 1.02921i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.13746 | − | 2.44631i | −0.296118 | − | 0.141003i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 20.3248 | − | 11.7345i | 1.16763 | − | 0.674129i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −28.9622 | + | 8.89834i | −1.65837 | + | 0.509517i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 26.5145i | 1.51326i | 0.653843 | + | 0.756631i | \(0.273156\pi\) | ||||
−0.653843 | + | 0.756631i | \(0.726844\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −19.5498 | −1.11215 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.91238 | − | 8.50848i | 0.278555 | − | 0.482472i | −0.692471 | − | 0.721446i | \(-0.743478\pi\) |
0.971026 | + | 0.238974i | \(0.0768111\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 29.0120 | − | 16.7501i | 1.63986 | − | 0.946772i | 0.658977 | − | 0.752163i | \(-0.270990\pi\) |
0.980881 | − | 0.194609i | \(-0.0623438\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 22.1873 | − | 12.8098i | 1.24616 | − | 0.719472i | 0.275821 | − | 0.961209i | \(-0.411050\pi\) |
0.970342 | + | 0.241737i | \(0.0777171\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.2749 | + | 19.5287i | −0.631274 | + | 1.09340i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.09967 | 0.340450 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 1.37097i | − | 0.0762827i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.72508 | + | 11.8208i | −0.317570 | + | 0.655701i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −17.3248 | + | 10.0025i | −0.958061 | + | 0.553137i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.36254 | + | 17.1687i | 0.0751193 | + | 0.946543i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.91238 | − | 15.4367i | −0.489868 | − | 0.848477i | 0.510064 | − | 0.860137i | \(-0.329622\pi\) |
−0.999932 | + | 0.0116596i | \(0.996289\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 5.36254 | − | 5.76655i | 0.292987 | − | 0.315060i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 4.30136i | − | 0.234310i | −0.993114 | − | 0.117155i | \(-0.962623\pi\) | ||
0.993114 | − | 0.117155i | \(-0.0373774\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.72508 | − | 6.45203i | 0.202319 | − | 0.350426i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.63746 | + | 14.9605i | 0.467745 | + | 0.810157i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.0000 | − | 4.35890i | 0.971909 | − | 0.235358i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −6.77492 | + | 29.5312i | −0.364749 | + | 1.58991i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −10.5000 | − | 6.06218i | −0.563670 | − | 0.325435i | 0.190947 | − | 0.981600i | \(-0.438844\pi\) |
−0.754617 | + | 0.656165i | \(0.772177\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.72508 | 0.199399 | 0.0996996 | − | 0.995018i | \(-0.468212\pi\) | ||||
0.0996996 | + | 0.995018i | \(0.468212\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −13.6495 | −0.728557 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.08762 | + | 4.09204i | 0.377236 | + | 0.217797i | 0.676615 | − | 0.736337i | \(-0.263446\pi\) |
−0.299379 | + | 0.954134i | \(0.596779\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.27492 | − | 9.91613i | 0.120740 | − | 0.526294i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.91238 | − | 0.151770i | 0.101214 | − | 0.00803249i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 18.1873 | + | 31.5013i | 0.959889 | + | 1.66258i | 0.722762 | + | 0.691097i | \(0.242872\pi\) |
0.237127 | + | 0.971479i | \(0.423794\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.13746 | − | 7.16629i | 0.217761 | − | 0.377173i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | − | 29.1413i | − | 1.52952i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.91238 | + | 10.6592i | −0.518837 | + | 0.557926i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.22508 | + | 3.01670i | 0.272747 | + | 0.157471i | 0.630135 | − | 0.776485i | \(-0.282999\pi\) |
−0.357388 | + | 0.933956i | \(0.616333\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 12.3625 | − | 8.50848i | 0.641831 | − | 0.441739i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.63746 | + | 4.98684i | −0.447231 | + | 0.258209i | −0.706660 | − | 0.707553i | \(-0.749799\pi\) |
0.259429 | + | 0.965762i | \(0.416466\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 18.0498 | − | 7.01452i | 0.932089 | − | 0.362228i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 11.2296i | 0.578352i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 21.6495 | 1.11206 | 0.556030 | − | 0.831162i | \(-0.312324\pi\) | ||||
0.556030 | + | 0.831162i | \(0.312324\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 13.5498 | − | 23.4690i | 0.694179 | − | 1.20235i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 5.32475 | − | 3.07425i | 0.272082 | − | 0.157087i | −0.357751 | − | 0.933817i | \(-0.616456\pi\) |
0.629833 | + | 0.776730i | \(0.283123\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −29.0120 | + | 11.4964i | −1.47859 | + | 0.585912i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 16.1873 | − | 28.0372i | 0.820728 | − | 1.42154i | −0.0844123 | − | 0.996431i | \(-0.526901\pi\) |
0.905141 | − | 0.425112i | \(-0.139765\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.27492 | −0.165620 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.5764i | 0.937055i | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −15.5498 | + | 4.77753i | −0.782397 | + | 0.240383i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.36254 | − | 5.40547i | 0.469892 | − | 0.271293i | −0.246302 | − | 0.969193i | \(-0.579216\pi\) |
0.716195 | + | 0.697901i | \(0.245882\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −13.5498 | − | 6.45203i | −0.678340 | − | 0.323006i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1.50000 | − | 2.59808i | −0.0749064 | − | 0.129742i | 0.826139 | − | 0.563466i | \(-0.190532\pi\) |
−0.901046 | + | 0.433724i | \(0.857199\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.45017 | + | 4.30136i | 0.371119 | + | 0.214266i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 14.7371 | + | 13.7046i | 0.732294 | + | 0.680989i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 52.6103i | 2.60780i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.0498 | + | 17.4068i | −0.496932 | + | 0.860712i | −0.999994 | − | 0.00353862i | \(-0.998874\pi\) |
0.503061 | + | 0.864251i | \(0.332207\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 18.4622 | + | 31.9775i | 0.910674 | + | 1.57733i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −4.91238 | − | 7.13752i | −0.241722 | − | 0.351214i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.1375 | − | 3.70219i | −0.792157 | − | 0.181733i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −19.6495 | − | 11.3446i | −0.962240 | − | 0.555550i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 13.0997 | 0.639961 | 0.319980 | − | 0.947424i | \(-0.396324\pi\) | ||||
0.319980 | + | 0.947424i | \(0.396324\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.27492 | −0.208347 | −0.104173 | − | 0.994559i | \(-0.533220\pi\) | ||||
−0.104173 | + | 0.994559i | \(0.533220\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.17525 | + | 1.73205i | 0.0570079 | + | 0.0840168i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −35.7371 | + | 2.83616i | −1.72944 | + | 0.137251i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −12.0000 | − | 20.7846i | −0.579365 | − | 1.00349i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9.18729 | − | 15.9129i | 0.442536 | − | 0.766495i | −0.555341 | − | 0.831623i | \(-0.687412\pi\) |
0.997877 | + | 0.0651276i | \(0.0207454\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 18.1578i | 0.872606i | 0.899800 | + | 0.436303i | \(0.143712\pi\) | ||||
−0.899800 | + | 0.436303i | \(0.856288\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 11.2749 | − | 12.1244i | 0.540591 | − | 0.581318i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 22.1873 | + | 12.8098i | 1.06136 | + | 0.612778i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.9124 | + | 20.6328i | 0.568547 | + | 0.984752i | 0.996710 | + | 0.0810504i | \(0.0258275\pi\) |
−0.428163 | + | 0.903701i | \(0.640839\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 10.5000 | − | 6.06218i | 0.498870 | − | 0.288023i | −0.229377 | − | 0.973338i | \(-0.573669\pi\) |
0.728247 | + | 0.685315i | \(0.240335\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 14.9622 | − | 4.59698i | 0.709277 | − | 0.217918i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 13.0767i | − | 0.618507i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 3.17525 | 0.149849 | 0.0749246 | − | 0.997189i | \(-0.476128\pi\) | ||||
0.0749246 | + | 0.997189i | \(0.476128\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.82475 | + | 17.0170i | −0.462629 | + | 0.801298i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 19.0876 | − | 11.0202i | 0.896815 | − | 0.517776i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −9.64950 | + | 12.1819i | −0.452376 | + | 0.571096i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.18729 | + | 0.685484i | −0.0555392 | + | 0.0320656i | −0.527512 | − | 0.849547i | \(-0.676875\pi\) |
0.471973 | + | 0.881613i | \(0.343542\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.08762 | + | 1.88382i | −0.0507659 | + | 0.0879292i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −14.0000 | −0.652045 | −0.326023 | − | 0.945362i | \(-0.605709\pi\) | ||||
−0.326023 | + | 0.945362i | \(0.605709\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 2.15068i | − | 0.0999505i | −0.998750 | − | 0.0499752i | \(-0.984086\pi\) | ||
0.998750 | − | 0.0499752i | \(-0.0159142\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.72508 | − | 12.1244i | −0.172747 | − | 0.562254i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 13.5997 | − | 7.85177i | 0.629318 | − | 0.363337i | −0.151170 | − | 0.988508i | \(-0.548304\pi\) |
0.780488 | + | 0.625171i | \(0.214971\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.67525 | − | 5.28247i | 0.354410 | − | 0.243922i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.91238 | + | 3.31233i | 0.0881176 | + | 0.152624i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 9.82475 | + | 5.67232i | 0.451743 | + | 0.260814i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.18729 | − | 16.3315i | −0.0544767 | − | 0.749340i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.91238 | − | 8.50848i | 0.224452 | − | 0.388763i | −0.731703 | − | 0.681624i | \(-0.761274\pi\) |
0.956155 | + | 0.292861i | \(0.0946074\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 13.0997 | + | 22.6893i | 0.597293 | + | 1.03454i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −15.4124 | + | 32.3673i | −0.701287 | + | 1.47277i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 15.0997 | + | 3.46410i | 0.685641 | + | 0.157297i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.53779 | − | 1.46519i | −0.114998 | − | 0.0663943i | 0.441398 | − | 0.897312i | \(-0.354483\pi\) |
−0.556396 | + | 0.830917i | \(0.687816\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −9.82475 | −0.444291 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −28.5498 | −1.28844 | −0.644218 | − | 0.764842i | \(-0.722817\pi\) | ||||
−0.644218 | + | 0.764842i | \(0.722817\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.54983 | + | 0.894797i | 0.0698010 | + | 0.0402996i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 5.17525 | − | 10.8685i | 0.232142 | − | 0.487518i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.812707 | + | 1.40765i | 0.0363818 | + | 0.0630151i | 0.883643 | − | 0.468161i | \(-0.155083\pi\) |
−0.847261 | + | 0.531177i | \(0.821750\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.412376 | − | 0.714256i | 0.0184236 | − | 0.0319106i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − | 31.7682i | − | 1.41647i | −0.705975 | − | 0.708236i | \(-0.749491\pi\) | ||
0.705975 | − | 0.708236i | \(-0.250509\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 22.1873 | + | 20.6328i | 0.987322 | + | 0.918149i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9.14950 | + | 5.28247i | 0.406344 | + | 0.234603i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −7.22508 | − | 12.5142i | −0.320246 | − | 0.554683i | 0.660293 | − | 0.751008i | \(-0.270432\pi\) |
−0.980539 | + | 0.196326i | \(0.937099\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −14.1873 | + | 9.76436i | −0.627609 | + | 0.431950i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 14.7371 | − | 8.50848i | 0.650660 | − | 0.375659i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −7.41238 | − | 24.1257i | −0.326628 | − | 1.06311i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 34.3375i | − | 1.51016i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −35.4743 | −1.55715 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −4.91238 | + | 8.50848i | −0.215215 | + | 0.372763i | −0.953339 | − | 0.301902i | \(-0.902379\pi\) |
0.738124 | + | 0.674665i | \(0.235712\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.36254 | + | 3.67341i | −0.278215 | + | 0.160627i | −0.632615 | − | 0.774467i | \(-0.718018\pi\) |
0.354400 | + | 0.935094i | \(0.384685\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 22.6495 | − | 3.46410i | 0.988505 | − | 0.151186i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.18729 | − | 0.685484i | 0.0517193 | − | 0.0298602i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.0997 | − | 33.0816i | 0.830420 | − | 1.43833i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 9.78523i | 0.423845i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.31271 | + | 7.52737i | 0.0999870 | + | 0.325437i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −10.9124 | + | 6.30026i | −0.470904 | + | 0.271876i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −36.4622 | + | 5.82409i | −1.57054 | + | 0.250861i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.77492 | + | 15.1986i | 0.377263 | + | 0.653439i | 0.990663 | − | 0.136334i | \(-0.0435319\pi\) |
−0.613400 | + | 0.789773i | \(0.710199\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −36.4124 | − | 21.0227i | −1.56260 | − | 0.902170i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −18.9124 | − | 17.5874i | −0.810117 | − | 0.753360i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 20.5386i | − | 0.878168i | −0.898446 | − | 0.439084i | \(-0.855303\pi\) | ||
0.898446 | − | 0.439084i | \(-0.144697\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.00000 | − | 12.1244i | −0.298210 | − | 0.516515i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −19.1873 | + | 1.52274i | −0.815927 | + | 0.0647534i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 8.63746 | − | 37.6498i | 0.366640 | − | 1.59815i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −8.63746 | − | 4.98684i | −0.365981 | − | 0.211299i | 0.305720 | − | 0.952121i | \(-0.401103\pi\) |
−0.671701 | + | 0.740822i | \(0.734436\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.64950 | 0.238949 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.82475 | −0.161481 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −19.5997 | − | 11.3159i | −0.826028 | − | 0.476907i | 0.0264630 | − | 0.999650i | \(-0.491576\pi\) |
−0.852491 | + | 0.522743i | \(0.824909\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.37459 | + | 2.15068i | 0.394392 | + | 0.0904797i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 13.5000 | + | 19.6150i | 0.566947 | + | 0.823754i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 4.18729 | + | 7.25260i | 0.175540 | + | 0.304045i | 0.940348 | − | 0.340214i | \(-0.110499\pi\) |
−0.764808 | + | 0.644259i | \(0.777166\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.63746 | + | 6.30026i | −0.152223 | + | 0.263658i | −0.932044 | − | 0.362344i | \(-0.881976\pi\) |
0.779821 | + | 0.626002i | \(0.215310\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 0.303539i | − | 0.0126805i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −39.0120 | + | 2.83616i | −1.62691 | + | 0.118276i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.36254 | + | 1.94136i | 0.139984 | + | 0.0808200i | 0.568357 | − | 0.822782i | \(-0.307579\pi\) |
−0.428372 | + | 0.903602i | \(0.640913\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 18.4622 | + | 31.9775i | 0.767263 | + | 1.32894i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −17.6873 | − | 8.42217i | −0.733793 | − | 0.349410i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −25.9124 | + | 14.9605i | −1.07318 | + | 0.619601i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 20.8997i | 0.862623i | 0.902203 | + | 0.431311i | \(0.141949\pi\) | ||||
−0.902203 | + | 0.431311i | \(0.858051\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.7251 | −0.441919 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −7.45017 | + | 12.9041i | −0.306459 | + | 0.530802i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −28.9124 | + | 16.6926i | −1.18729 | + | 0.685482i | −0.957689 | − | 0.287804i | \(-0.907075\pi\) |
−0.229600 | + | 0.973285i | \(0.573742\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.912376 | + | 2.30245i | 0.0374038 | + | 0.0943911i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 25.9124 | − | 14.9605i | 1.06052 | − | 0.612293i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 2.63746 | − | 4.56821i | 0.107764 | − | 0.186652i | −0.807100 | − | 0.590414i | \(-0.798964\pi\) |
0.914864 | + | 0.403762i | \(0.132298\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.0000 | 0.571072 | 0.285536 | − | 0.958368i | \(-0.407828\pi\) | ||||
0.285536 | + | 0.958368i | \(0.407828\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 35.9622 | − | 11.0490i | 1.46207 | − | 0.449206i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.87459 | − | 5.70109i | 0.400797 | − | 0.231400i | −0.286031 | − | 0.958220i | \(-0.592336\pi\) |
0.686828 | + | 0.726820i | \(0.259003\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 16.1375 | − | 11.1066i | 0.653923 | − | 0.450061i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −8.54983 | − | 14.8087i | −0.345889 | − | 0.599098i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −24.5619 | − | 14.1808i | −0.992045 | − | 0.572757i | −0.0861600 | − | 0.996281i | \(-0.527460\pi\) |
−0.905885 | + | 0.423524i | \(0.860793\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 9.82475 | − | 10.5649i | 0.396172 | − | 0.426019i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 31.2920i | − | 1.25977i | −0.776689 | − | 0.629884i | \(-0.783102\pi\) | ||
0.776689 | − | 0.629884i | \(-0.216898\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.46221 | + | 7.72877i | −0.179351 | + | 0.310646i | −0.941659 | − | 0.336570i | \(-0.890733\pi\) |
0.762307 | + | 0.647215i | \(0.224067\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −20.3248 | − | 35.2035i | −0.815604 | − | 1.41267i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 18.4622 | − | 1.46519i | 0.739673 | − | 0.0587017i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.5000 | + | 19.6150i | 0.620000 | + | 0.784602i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 25.9124 | + | 14.9605i | 1.03484 | + | 0.597466i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4.17525 | 0.166478 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.0997 | 1.31768 | 0.658839 | − | 0.752284i | \(-0.271048\pi\) | ||||
0.658839 | + | 0.752284i | \(0.271048\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 38.4743 | + | 22.2131i | 1.52921 | + | 0.882892i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 34.0997 | + | 7.82300i | 1.35320 | + | 0.310446i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −14.2749 | + | 11.5906i | −0.565593 | + | 0.459238i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.04983 | − | 1.81837i | 0.0414660 | − | 0.0718212i | −0.844548 | − | 0.535481i | \(-0.820131\pi\) |
0.886014 | + | 0.463659i | \(0.153464\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 31.4071i | 1.23857i | 0.785164 | + | 0.619287i | \(0.212578\pi\) | ||||
−0.785164 | + | 0.619287i | \(0.787422\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.09967 | − | 5.67232i | −0.240174 | − | 0.223348i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −23.3248 | − | 13.4666i | −0.916991 | − | 0.529425i | −0.0343169 | − | 0.999411i | \(-0.510926\pi\) |
−0.882674 | + | 0.469986i | \(0.844259\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 8.63746 | + | 14.9605i | 0.339050 | + | 0.587252i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.18729 | − | 14.9605i | −0.0465337 | − | 0.586349i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −24.5619 | + | 14.1808i | −0.961181 | + | 0.554938i | −0.896536 | − | 0.442970i | \(-0.853925\pi\) |
−0.0646444 | + | 0.997908i | \(0.520591\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −22.9244 | + | 7.04329i | −0.895731 | + | 0.275204i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 40.5498 | 1.57960 | 0.789799 | − | 0.613366i | \(-0.210185\pi\) | ||||
0.789799 | + | 0.613366i | \(0.210185\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.225083 | − | 0.389855i | 0.00875471 | − | 0.0151636i | −0.861615 | − | 0.507563i | \(-0.830547\pi\) |
0.870370 | + | 0.492399i | \(0.163880\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1.64950 | + | 0.952341i | −0.0640614 | + | 0.0369859i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.82475 | − | 19.1676i | 0.109539 | − | 0.743289i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −28.9622 | + | 16.7213i | −1.12142 | + | 0.647453i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −7.54983 | + | 13.0767i | −0.291893 | + | 0.505574i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 71.4743 | 2.75923 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 31.2920i | 1.20622i | 0.797659 | + | 0.603109i | \(0.206072\pi\) | ||||
−0.797659 | + | 0.603109i | \(0.793928\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −11.3248 | + | 23.3827i | −0.435890 | + | 0.900000i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 40.1873 | − | 23.2021i | 1.54452 | − | 0.891731i | 0.545979 | − | 0.837799i | \(-0.316158\pi\) |
0.998545 | − | 0.0539317i | \(-0.0171753\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 16.5498 | + | 7.88054i | 0.635124 | + | 0.302428i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 16.9124 | + | 29.2931i | 0.648084 | + | 1.12251i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 16.5997 | + | 9.58382i | 0.635169 | + | 0.366715i | 0.782751 | − | 0.622335i | \(-0.213816\pi\) |
−0.147582 | + | 0.989050i | \(0.547149\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −32.4622 | + | 34.9079i | −1.24032 | + | 1.33376i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.67232i | 0.216413i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −7.45017 | + | 12.9041i | −0.283829 | + | 0.491606i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.1873 | − | 26.3052i | −0.577752 | − | 1.00070i | −0.995737 | − | 0.0922416i | \(-0.970597\pi\) |
0.417985 | − | 0.908454i | \(-0.362737\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 6.54983 | − | 28.5501i | 0.248449 | − | 1.08297i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.35050 | + | 0.779710i | 0.0511537 | + | 0.0295336i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −24.7251 | −0.935189 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 8.82475 | 0.333306 | 0.166653 | − | 0.986016i | \(-0.446704\pi\) | ||||
0.166653 | + | 0.986016i | \(0.446704\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −28.2870 | − | 16.3315i | −1.06686 | − | 0.615954i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −5.63746 | + | 24.5731i | −0.212319 | + | 0.925477i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 20.3248 | + | 29.5312i | 0.764391 | + | 1.11063i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.22508 | − | 9.05011i | −0.196232 | − | 0.339884i | 0.751072 | − | 0.660221i | \(-0.229537\pi\) |
−0.947304 | + | 0.320337i | \(0.896204\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 25.6197i | 0.959465i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 21.0997 | − | 22.6893i | 0.789083 | − | 0.848531i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.824752 | − | 0.476171i | −0.0308009 | − | 0.0177829i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −15.1873 | − | 26.3052i | −0.566390 | − | 0.981017i | −0.996919 | − | 0.0784400i | \(-0.975006\pi\) |
0.430528 | − | 0.902577i | \(-0.358327\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.36254 | − | 29.7693i | −0.0879856 | − | 1.10867i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −14.7371 | + | 8.50848i | −0.548080 | + | 0.316434i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 19.2371 | + | 9.31697i | 0.714449 | + | 0.346023i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.10302i | 0.115085i | 0.998343 | + | 0.0575423i | \(0.0183264\pi\) | ||||
−0.998343 | + | 0.0575423i | \(0.981674\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.450166 | − | 0.779710i | 0.0166500 | − | 0.0288386i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −32.6375 | + | 18.8432i | −1.20549 | + | 0.695991i | −0.961771 | − | 0.273854i | \(-0.911701\pi\) |
−0.243721 | + | 0.969845i | \(0.578368\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 27.0498 | + | 1.81837i | 0.997748 | + | 0.0670715i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −16.0876 | + | 9.28819i | −0.592595 | + | 0.342135i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.4622 | + | 18.1211i | −0.384859 | + | 0.666595i | −0.991750 | − | 0.128190i | \(-0.959083\pi\) |
0.606891 | + | 0.794785i | \(0.292416\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 14.9003 | 0.547377 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 6.45203i | 0.236702i | 0.992972 | + | 0.118351i | \(0.0377608\pi\) | ||||
−0.992972 | + | 0.118351i | \(0.962239\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 16.1375 | − | 4.95807i | 0.591231 | − | 0.181650i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.737127 | + | 9.28819i | 0.0269341 | + | 0.339383i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.36254 | + | 12.7523i | 0.268663 | + | 0.465338i | 0.968517 | − | 0.248948i | \(-0.0800849\pi\) |
−0.699854 | + | 0.714286i | \(0.746752\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −30.8248 | − | 17.7967i | −1.12332 | − | 0.648547i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 20.8368 | + | 19.3770i | 0.758329 | + | 0.705200i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 35.5934i | 1.29366i | 0.762633 | + | 0.646831i | \(0.223906\pi\) | ||||
−0.762633 | + | 0.646831i | \(0.776094\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 35.7371 | − | 61.8985i | 1.29718 | − | 2.24677i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.4622 | − | 19.8531i | −0.415505 | − | 0.719675i | 0.579977 | − | 0.814633i | \(-0.303062\pi\) |
−0.995481 | + | 0.0949578i | \(0.969728\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −17.3248 | − | 25.1723i | −0.627198 | − | 0.911298i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 7.45017 | + | 4.30136i | 0.269010 | + | 0.155313i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 14.0000 | 0.504853 | 0.252426 | − | 0.967616i | \(-0.418771\pi\) | ||||
0.252426 | + | 0.967616i | \(0.418771\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −20.1752 | −0.726594 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −34.9124 | − | 20.1567i | −1.25571 | − | 0.724985i | −0.283473 | − | 0.958980i | \(-0.591487\pi\) |
−0.972238 | + | 0.233995i | \(0.924820\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 13.5498 | − | 9.19397i | 0.486724 | − | 0.330257i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 19.6495 | − | 41.2657i | 0.704922 | − | 1.48040i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −6.09967 | − | 10.5649i | −0.218543 | − | 0.378528i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12.0000 | + | 20.7846i | −0.429394 | + | 0.743732i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 22.2131i | 0.793832i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −3.36254 | + | 3.61587i | −0.120014 | + | 0.129056i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.50000 | + | 0.866025i | 0.0534692 | + | 0.0308705i | 0.526496 | − | 0.850177i | \(-0.323505\pi\) |
−0.473027 | + | 0.881048i | \(0.656839\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0.675248 | + | 1.16956i | 0.0240395 | + | 0.0416376i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 10.2749 | + | 4.89261i | 0.365334 | + | 0.173961i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 30.8248 | − | 17.7967i | 1.09462 | − | 0.631979i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 21.0000 | − | 6.45203i | 0.744793 | − | 0.228830i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 46.8229i | − | 1.65855i | −0.558839 | − | 0.829276i | \(-0.688753\pi\) | ||
0.558839 | − | 0.829276i | \(-0.311247\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.72508 | −0.0964065 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 29.7371 | − | 17.1687i | 1.04940 | − | 0.605872i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −45.7870 | − | 6.74766i | −1.61378 | − | 0.237824i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −21.6752 | + | 12.5142i | −0.763005 | + | 0.440521i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −8.59967 | + | 14.8951i | −0.302348 | + | 0.523683i | −0.976667 | − | 0.214757i | \(-0.931104\pi\) |
0.674319 | + | 0.738440i | \(0.264437\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.45017 | 0.261611 | 0.130805 | − | 0.991408i | \(-0.458244\pi\) | ||||
0.130805 | + | 0.991408i | \(0.458244\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 17.0170i | − | 0.596811i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −3.72508 | − | 12.1244i | −0.130484 | − | 0.424698i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −6.09967 | + | 3.52165i | −0.213400 | + | 0.123207i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 10.1873 | + | 17.6449i | 0.355539 | + | 0.615812i | 0.987210 | − | 0.159425i | \(-0.0509640\pi\) |
−0.631671 | + | 0.775237i | \(0.717631\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 39.9743 | + | 23.0791i | 1.39341 | + | 0.804488i | 0.993692 | − | 0.112147i | \(-0.0357729\pi\) |
0.399723 | + | 0.916636i | \(0.369106\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −45.5619 | + | 3.31233i | −1.58626 | + | 0.115321i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 15.0547i | − | 0.523505i | −0.965135 | − | 0.261752i | \(-0.915700\pi\) | ||
0.965135 | − | 0.261752i | \(-0.0843004\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −25.4622 | + | 44.1018i | −0.884339 | + | 1.53172i | −0.0378699 | + | 0.999283i | \(0.512057\pi\) |
−0.846469 | + | 0.532438i | \(0.821276\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −12.3625 | − | 21.4125i | −0.428852 | − | 0.742793i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.462210 | + | 2.89371i | 0.0160146 | + | 0.100261i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.03779 | + | 0.238085i | 0.0359142 | + | 0.00823928i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 14.7371 | + | 8.50848i | 0.509390 | + | 0.294096i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −41.0997 | −1.41892 | −0.709459 | − | 0.704747i | \(-0.751061\pi\) | ||||
−0.709459 | + | 0.704747i | \(0.751061\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.7251 | −0.369830 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 9.00000 | + | 5.19615i | 0.309976 | + | 0.178965i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −3.04983 | + | 13.2939i | −0.104917 | + | 0.457325i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 44.3746 | − | 3.52165i | 1.52473 | − | 0.121005i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 9.46221 | + | 16.3890i | 0.324742 | + | 0.562470i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −39.0120 | + | 67.5708i | −1.33732 | + | 2.31630i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 13.1342i | − | 0.449708i | −0.974392 | − | 0.224854i | \(-0.927810\pi\) | ||
0.974392 | − | 0.224854i | \(-0.0721905\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −32.6375 | − | 18.8432i | −1.11487 | − | 0.643673i | −0.174787 | − | 0.984606i | \(-0.555924\pi\) |
−0.940087 | + | 0.340933i | \(0.889257\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.18729 | − | 2.05645i | −0.0405099 | − | 0.0701652i | 0.845060 | − | 0.534672i | \(-0.179565\pi\) |
−0.885569 | + | 0.464507i | \(0.846232\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 14.0619 | − | 9.67805i | 0.479228 | − | 0.329827i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 14.2251 | − | 8.21286i | 0.484227 | − | 0.279569i | −0.237949 | − | 0.971278i | \(-0.576475\pi\) |
0.722177 | + | 0.691709i | \(0.243142\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −13.4502 | − | 43.7774i | −0.457319 | − | 1.48848i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | − | 29.1413i | − | 0.989691i | ||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 38.3746 | 1.30177 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.62541 | + | 8.01145i | −0.156726 | + | 0.271458i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 12.8625 | + | 26.6375i | 0.434833 | + | 0.900511i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −19.8127 | + | 11.4389i | −0.669028 | + | 0.386263i | −0.795708 | − | 0.605680i | \(-0.792901\pi\) |
0.126681 | + | 0.991944i | \(0.459568\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 6.00000 | − | 10.3923i | 0.202375 | − | 0.350524i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −43.0241 | −1.44952 | −0.724759 | − | 0.689002i | \(-0.758049\pi\) | ||||
−0.724759 | + | 0.689002i | \(0.758049\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 55.5407i | − | 1.86909i | −0.355840 | − | 0.934547i | \(-0.615805\pi\) | ||
0.355840 | − | 0.934547i | \(-0.384195\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −3.72508 | − | 12.1244i | −0.125217 | − | 0.407556i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −33.9743 | + | 19.6150i | −1.14074 | + | 0.658609i | −0.946615 | − | 0.322367i | \(-0.895521\pi\) |
−0.194129 | + | 0.980976i | \(0.562188\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 37.3746 | + | 17.7967i | 1.25350 | + | 0.596881i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −23.7371 | − | 41.1139i | −0.795224 | − | 1.37737i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 18.4622 | + | 10.6592i | 0.617814 | + | 0.356695i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −11.9124 | − | 11.0778i | −0.398187 | − | 0.370290i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | − | 35.5934i | − | 1.18843i | ||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 7.00000 | − | 12.1244i | 0.233463 | − | 0.404370i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.18729 | + | 2.05645i | 0.0395545 | + | 0.0685103i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −5.58762 | − | 8.11863i | −0.185944 | − | 0.270171i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 12.1375 | − | 52.9060i | 0.403463 | − | 1.75865i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 36.2492 | + | 20.9285i | 1.20363 | + | 0.694918i | 0.961361 | − | 0.275290i | \(-0.0887738\pi\) |
0.242273 | + | 0.970208i | \(0.422107\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −25.0997 | −0.831589 | −0.415795 | − | 0.909459i | \(-0.636496\pi\) | ||||
−0.415795 | + | 0.909459i | \(0.636496\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 33.8248 | + | 19.5287i | 1.11944 | + | 0.646307i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −51.1495 | − | 11.7345i | −1.69095 | − | 0.387931i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −28.2870 | + | 2.24490i | −0.934118 | + | 0.0741332i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −23.4622 | − | 40.6377i | −0.773947 | − | 1.34052i | −0.935384 | − | 0.353632i | \(-0.884946\pi\) |
0.161438 | − | 0.986883i | \(-0.448387\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −22.9622 | + | 39.7717i | −0.756631 | + | 1.31052i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 11.9517i | 0.393396i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 49.7371 | − | 3.61587i | 1.63535 | − | 0.118889i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −24.0498 | − | 41.6555i | −0.789049 | − | 1.36667i | −0.926550 | − | 0.376172i | \(-0.877240\pi\) |
0.137500 | − | 0.990502i | \(-0.456093\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 8.18729 | − | 21.4125i | 0.268328 | − | 0.701768i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 14.7371 | − | 8.50848i | 0.482472 | − | 0.278555i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.45017 | − | 4.71998i | −0.0474255 | − | 0.154360i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 24.3638i | 0.795931i | 0.917400 | + | 0.397965i | \(0.130284\pi\) | ||||
−0.917400 | + | 0.397965i | \(0.869716\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 58.0241 | 1.89354 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 1.63746 | − | 2.83616i | 0.0533796 | − | 0.0924562i | −0.838101 | − | 0.545515i | \(-0.816334\pi\) |
0.891481 | + | 0.453059i | \(0.149667\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −25.2371 | + | 14.5707i | −0.821834 | + | 0.474486i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −19.0876 | + | 24.0969i | −0.620920 | + | 0.783874i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −9.14950 | + | 5.28247i | −0.297319 | + | 0.171657i | −0.641238 | − | 0.767342i | \(-0.721579\pi\) |
0.343919 | + | 0.938999i | \(0.388245\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.54983 | − | 14.8087i | 0.277539 | − | 0.480712i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 44.3746 | 1.43894 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 22.6893i | − | 0.734978i | −0.930028 | − | 0.367489i | \(-0.880218\pi\) | ||
0.930028 | − | 0.367489i | \(-0.119782\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.374586 | − | 0.115088i | 0.0121213 | − | 0.00372415i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −33.8248 | + | 19.5287i | −1.09340 | + | 0.631274i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −46.4622 | + | 31.9775i | −1.50034 | + | 1.03261i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.1375 | + | 17.5586i | 0.327015 | + | 0.566406i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −32.4622 | + | 34.9079i | −1.04500 | + | 1.12372i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 2.15068i | − | 0.0691611i | −0.999402 | − | 0.0345806i | \(-0.988990\pi\) | ||
0.999402 | − | 0.0345806i | \(-0.0110095\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 1.18729 | − | 2.05645i | 0.0381413 | − | 0.0660628i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 18.4622 | + | 31.9775i | 0.592481 | + | 1.02621i | 0.993897 | + | 0.110311i | \(0.0351846\pi\) |
−0.401417 | + | 0.915896i | \(0.631482\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 14.9003 | − | 31.2920i | 0.477683 | − | 1.00318i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −18.8248 | + | 12.7732i | −0.602875 | + | 0.409068i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 25.9124 | + | 14.9605i | 0.829010 | + | 0.478629i | 0.853514 | − | 0.521070i | \(-0.174467\pi\) |
−0.0245034 | + | 0.999700i | \(0.507800\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −36.9244 | −1.18011 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 39.7749 | + | 22.9641i | 1.26862 | + | 0.732440i | 0.974727 | − | 0.223398i | \(-0.0717149\pi\) |
0.293895 | + | 0.955838i | \(0.405048\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −18.7492 | − | 4.30136i | −0.597398 | − | 0.137053i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −12.8248 | + | 26.9331i | −0.408216 | + | 0.857290i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.41238 | + | 14.5707i | 0.267498 | + | 0.463320i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.7371 | + | 28.9896i | −0.531672 | + | 0.920884i | 0.467644 | + | 0.883917i | \(0.345103\pi\) |
−0.999316 | + | 0.0369667i | \(0.988230\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − | 30.8734i | − | 0.979737i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 28.2870 | + | 26.3052i | 0.896757 | + | 0.833930i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −0.362541 | − | 0.209313i | −0.0114818 | − | 0.00662902i | 0.494248 | − | 0.869321i | \(-0.335443\pi\) |
−0.505730 | + | 0.862692i | \(0.668777\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 25.9124 | + | 44.8816i | 0.819831 | + | 1.41999i |
(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 | 140.2.q.b.109.2 | yes | 4 | |
3.2 | odd | 2 | 1260.2.bm.b.109.1 | 4 | |||
4.3 | odd | 2 | 560.2.bw.a.529.2 | 4 | |||
5.2 | odd | 4 | 700.2.i.f.501.3 | 8 | |||
5.3 | odd | 4 | 700.2.i.f.501.2 | 8 | |||
5.4 | even | 2 | 140.2.q.a.109.2 | yes | 4 | ||
7.2 | even | 3 | 140.2.q.a.9.2 | ✓ | 4 | ||
7.3 | odd | 6 | 980.2.e.c.589.4 | 4 | |||
7.4 | even | 3 | 980.2.e.f.589.1 | 4 | |||
7.5 | odd | 6 | 980.2.q.g.569.1 | 4 | |||
7.6 | odd | 2 | 980.2.q.b.949.1 | 4 | |||
15.14 | odd | 2 | 1260.2.bm.a.109.1 | 4 | |||
20.19 | odd | 2 | 560.2.bw.e.529.2 | 4 | |||
21.2 | odd | 6 | 1260.2.bm.a.289.1 | 4 | |||
28.23 | odd | 6 | 560.2.bw.e.289.2 | 4 | |||
35.2 | odd | 12 | 700.2.i.f.401.3 | 8 | |||
35.3 | even | 12 | 4900.2.a.bf.1.1 | 4 | |||
35.4 | even | 6 | 980.2.e.f.589.3 | 4 | |||
35.9 | even | 6 | inner | 140.2.q.b.9.1 | yes | 4 | |
35.17 | even | 12 | 4900.2.a.bf.1.3 | 4 | |||
35.18 | odd | 12 | 4900.2.a.be.1.3 | 4 | |||
35.19 | odd | 6 | 980.2.q.b.569.2 | 4 | |||
35.23 | odd | 12 | 700.2.i.f.401.2 | 8 | |||
35.24 | odd | 6 | 980.2.e.c.589.2 | 4 | |||
35.32 | odd | 12 | 4900.2.a.be.1.1 | 4 | |||
35.34 | odd | 2 | 980.2.q.g.949.1 | 4 | |||
105.44 | odd | 6 | 1260.2.bm.b.289.2 | 4 | |||
140.79 | odd | 6 | 560.2.bw.a.289.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
140.2.q.a.9.2 | ✓ | 4 | 7.2 | even | 3 | ||
140.2.q.a.109.2 | yes | 4 | 5.4 | even | 2 | ||
140.2.q.b.9.1 | yes | 4 | 35.9 | even | 6 | inner | |
140.2.q.b.109.2 | yes | 4 | 1.1 | even | 1 | trivial | |
560.2.bw.a.289.1 | 4 | 140.79 | odd | 6 | |||
560.2.bw.a.529.2 | 4 | 4.3 | odd | 2 | |||
560.2.bw.e.289.2 | 4 | 28.23 | odd | 6 | |||
560.2.bw.e.529.2 | 4 | 20.19 | odd | 2 | |||
700.2.i.f.401.2 | 8 | 35.23 | odd | 12 | |||
700.2.i.f.401.3 | 8 | 35.2 | odd | 12 | |||
700.2.i.f.501.2 | 8 | 5.3 | odd | 4 | |||
700.2.i.f.501.3 | 8 | 5.2 | odd | 4 | |||
980.2.e.c.589.2 | 4 | 35.24 | odd | 6 | |||
980.2.e.c.589.4 | 4 | 7.3 | odd | 6 | |||
980.2.e.f.589.1 | 4 | 7.4 | even | 3 | |||
980.2.e.f.589.3 | 4 | 35.4 | even | 6 | |||
980.2.q.b.569.2 | 4 | 35.19 | odd | 6 | |||
980.2.q.b.949.1 | 4 | 7.6 | odd | 2 | |||
980.2.q.g.569.1 | 4 | 7.5 | odd | 6 | |||
980.2.q.g.949.1 | 4 | 35.34 | odd | 2 | |||
1260.2.bm.a.109.1 | 4 | 15.14 | odd | 2 | |||
1260.2.bm.a.289.1 | 4 | 21.2 | odd | 6 | |||
1260.2.bm.b.109.1 | 4 | 3.2 | odd | 2 | |||
1260.2.bm.b.289.2 | 4 | 105.44 | odd | 6 | |||
4900.2.a.be.1.1 | 4 | 35.32 | odd | 12 | |||
4900.2.a.be.1.3 | 4 | 35.18 | odd | 12 | |||
4900.2.a.bf.1.1 | 4 | 35.3 | even | 12 | |||
4900.2.a.bf.1.3 | 4 | 35.17 | even | 12 |