Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,3,Mod(145,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.145");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bh (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.15533688251\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3 \) |
Twist minimal: | no (minimal twist has level 42) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 145.2 | ||
Root | \(0.707107 + 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 336.145 |
Dual form | 336.3.bh.e.241.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 | −0.500000 | + | 0.288675i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 7.24264 | + | 4.18154i | 1.44853 | + | 0.836308i | 0.998394 | − | 0.0566528i | \(-0.0180428\pi\) |
0.450134 | + | 0.892961i | \(0.351376\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 6.74264 | − | 1.88064i | 0.963234 | − | 0.268662i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.50000 | − | 2.59808i | 0.166667 | − | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.00000 | + | 5.19615i | 0.272727 | + | 0.472377i | 0.969559 | − | 0.244857i | \(-0.0787410\pi\) |
−0.696832 | + | 0.717234i | \(0.745408\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 17.8639i | − | 1.37414i | −0.726590 | − | 0.687072i | \(-0.758896\pi\) | ||
0.726590 | − | 0.687072i | \(-0.241104\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −14.4853 | −0.965685 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −16.2426 | + | 9.37769i | −0.955449 | + | 0.551629i | −0.894770 | − | 0.446528i | \(-0.852660\pi\) |
−0.0606799 | + | 0.998157i | \(0.519327\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 14.7426 | + | 8.51167i | 0.775928 | + | 0.447983i | 0.834985 | − | 0.550272i | \(-0.185476\pi\) |
−0.0590569 | + | 0.998255i | \(0.518809\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −8.48528 | + | 8.66025i | −0.404061 | + | 0.412393i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.72792 | − | 11.6531i | 0.292518 | − | 0.506657i | −0.681886 | − | 0.731458i | \(-0.738840\pi\) |
0.974405 | + | 0.224802i | \(0.0721734\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 22.4706 | + | 38.9202i | 0.898823 | + | 1.55681i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.19615i | 0.192450i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 33.9411 | 1.17038 | 0.585192 | − | 0.810895i | \(-0.301019\pi\) | ||||
0.585192 | + | 0.810895i | \(0.301019\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −12.7721 | + | 7.37396i | −0.412003 | + | 0.237870i | −0.691650 | − | 0.722233i | \(-0.743116\pi\) |
0.279647 | + | 0.960103i | \(0.409782\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −9.00000 | − | 5.19615i | −0.272727 | − | 0.157459i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 56.6985 | + | 14.5738i | 1.61996 | + | 0.416396i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.98528 | + | 5.17066i | −0.0806833 | + | 0.139748i | −0.903544 | − | 0.428496i | \(-0.859044\pi\) |
0.822860 | + | 0.568244i | \(0.192377\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 15.4706 | + | 26.7958i | 0.396681 | + | 0.687072i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 35.2354i | 0.859399i | 0.902972 | + | 0.429700i | \(0.141381\pi\) | ||||
−0.902972 | + | 0.429700i | \(0.858619\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −15.4853 | −0.360123 | −0.180061 | − | 0.983655i | \(-0.557630\pi\) | ||||
−0.180061 | + | 0.983655i | \(0.557630\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 21.7279 | − | 12.5446i | 0.482843 | − | 0.278769i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 28.7574 | + | 16.6031i | 0.611859 | + | 0.353257i | 0.773693 | − | 0.633561i | \(-0.218408\pi\) |
−0.161834 | + | 0.986818i | \(0.551741\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 41.9264 | − | 25.3609i | 0.855641 | − | 0.517570i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 16.2426 | − | 28.1331i | 0.318483 | − | 0.551629i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 17.2721 | + | 29.9161i | 0.325888 | + | 0.564455i | 0.981692 | − | 0.190477i | \(-0.0610033\pi\) |
−0.655803 | + | 0.754932i | \(0.727670\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 50.1785i | 0.912336i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −29.4853 | −0.517286 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −23.6985 | + | 13.6823i | −0.401669 | + | 0.231904i | −0.687204 | − | 0.726465i | \(-0.741162\pi\) |
0.285535 | + | 0.958368i | \(0.407829\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −34.9706 | − | 20.1903i | −0.573288 | − | 0.330988i | 0.185174 | − | 0.982706i | \(-0.440715\pi\) |
−0.758461 | + | 0.651718i | \(0.774049\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 5.22792 | − | 20.3389i | 0.0829829 | − | 0.322839i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 74.6985 | − | 129.382i | 1.14921 | − | 1.99049i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −57.1985 | − | 99.0707i | −0.853709 | − | 1.47867i | −0.877838 | − | 0.478958i | \(-0.841015\pi\) |
0.0241291 | − | 0.999709i | \(-0.492319\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 23.3062i | 0.337771i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −18.6030 | −0.262015 | −0.131007 | − | 0.991381i | \(-0.541821\pi\) | ||||
−0.131007 | + | 0.991381i | \(0.541821\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −101.353 | + | 58.5161i | −1.38839 | + | 0.801590i | −0.993134 | − | 0.116979i | \(-0.962679\pi\) |
−0.395260 | + | 0.918569i | \(0.629346\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −67.4117 | − | 38.9202i | −0.898823 | − | 0.518935i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 30.0000 | + | 29.3939i | 0.389610 | + | 0.381739i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −44.1690 | + | 76.5030i | −0.559102 | + | 0.968393i | 0.438470 | + | 0.898746i | \(0.355521\pi\) |
−0.997572 | + | 0.0696469i | \(0.977813\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −4.50000 | − | 7.79423i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − | 75.7601i | − | 0.912772i | −0.889782 | − | 0.456386i | \(-0.849144\pi\) | ||
0.889782 | − | 0.456386i | \(-0.150856\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −156.853 | −1.84533 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −50.9117 | + | 29.3939i | −0.585192 | + | 0.337861i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −18.0000 | − | 10.3923i | −0.202247 | − | 0.116767i | 0.395456 | − | 0.918485i | \(-0.370587\pi\) |
−0.597703 | + | 0.801717i | \(0.703920\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −33.5955 | − | 120.450i | −0.369181 | − | 1.32362i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 12.7721 | − | 22.1219i | 0.137334 | − | 0.237870i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 71.1838 | + | 123.294i | 0.749303 | + | 1.29783i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 30.5826i | 0.315284i | 0.987496 | + | 0.157642i | \(0.0503892\pi\) | ||||
−0.987496 | + | 0.157642i | \(0.949611\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 18.0000 | 0.181818 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 110.823 | − | 63.9839i | 1.09726 | − | 0.633504i | 0.161761 | − | 0.986830i | \(-0.448283\pi\) |
0.935500 | + | 0.353326i | \(0.114949\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 70.1102 | + | 40.4781i | 0.680681 | + | 0.392992i | 0.800112 | − | 0.599851i | \(-0.204774\pi\) |
−0.119430 | + | 0.992843i | \(0.538107\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −97.6690 | + | 27.2416i | −0.930181 | + | 0.259443i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 84.7279 | − | 146.753i | 0.791850 | − | 1.37152i | −0.132971 | − | 0.991120i | \(-0.542452\pi\) |
0.924820 | − | 0.380404i | \(-0.124215\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −89.4706 | − | 154.968i | −0.820831 | − | 1.42172i | −0.905064 | − | 0.425275i | \(-0.860177\pi\) |
0.0842335 | − | 0.996446i | \(-0.473156\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 10.3413i | − | 0.0931650i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −17.3970 | −0.153955 | −0.0769777 | − | 0.997033i | \(-0.524527\pi\) | ||||
−0.0769777 | + | 0.997033i | \(0.524527\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 97.4558 | − | 56.2662i | 0.847442 | − | 0.489271i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −46.4117 | − | 26.7958i | −0.396681 | − | 0.229024i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −91.8823 | + | 93.7769i | −0.772120 | + | 0.788041i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 42.5000 | − | 73.6122i | 0.351240 | − | 0.608365i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −30.5147 | − | 52.8530i | −0.248087 | − | 0.429700i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 166.769i | 1.33415i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −167.426 | −1.31832 | −0.659159 | − | 0.752004i | \(-0.729088\pi\) | ||||
−0.659159 | + | 0.752004i | \(0.729088\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 23.2279 | − | 13.4106i | 0.180061 | − | 0.103959i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.54416 | + | 0.891519i | 0.0117874 | + | 0.00680549i | 0.505882 | − | 0.862603i | \(-0.331167\pi\) |
−0.494095 | + | 0.869408i | \(0.664500\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 115.412 | + | 29.6656i | 0.867757 | + | 0.223049i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −21.7279 | + | 37.6339i | −0.160948 | + | 0.278769i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −50.4853 | − | 87.4431i | −0.368506 | − | 0.638271i | 0.620826 | − | 0.783948i | \(-0.286797\pi\) |
−0.989332 | + | 0.145677i | \(0.953464\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 140.542i | 1.01110i | 0.862799 | + | 0.505548i | \(0.168710\pi\) | ||||
−0.862799 | + | 0.505548i | \(0.831290\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −57.5147 | −0.407906 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 92.8234 | − | 53.5916i | 0.649115 | − | 0.374766i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 245.823 | + | 141.926i | 1.69533 | + | 0.978801i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −40.9264 | + | 74.3507i | −0.278411 | + | 0.505787i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −91.4558 | + | 158.406i | −0.613798 | + | 1.06313i | 0.376797 | + | 0.926296i | \(0.377026\pi\) |
−0.990594 | + | 0.136833i | \(0.956308\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −144.397 | − | 250.103i | −0.956271 | − | 1.65631i | −0.731432 | − | 0.681915i | \(-0.761148\pi\) |
−0.224840 | − | 0.974396i | \(-0.572186\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 56.2662i | 0.367753i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −123.338 | −0.795730 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 162.000 | − | 93.5307i | 1.03185 | − | 0.595737i | 0.114334 | − | 0.993442i | \(-0.463527\pi\) |
0.917513 | + | 0.397705i | \(0.130193\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −51.8162 | − | 29.9161i | −0.325888 | − | 0.188152i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 23.4487 | − | 91.2255i | 0.145644 | − | 0.566618i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.02944 | − | 13.9074i | 0.0492604 | − | 0.0853214i | −0.840344 | − | 0.542054i | \(-0.817647\pi\) |
0.889604 | + | 0.456732i | \(0.150980\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −43.4558 | − | 75.2677i | −0.263369 | − | 0.456168i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 176.117i | 1.05459i | 0.849681 | + | 0.527297i | \(0.176794\pi\) | ||||
−0.849681 | + | 0.527297i | \(0.823206\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −150.118 | −0.888271 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 44.2279 | − | 25.5350i | 0.258643 | − | 0.149328i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −200.184 | − | 115.576i | −1.15713 | − | 0.668070i | −0.206517 | − | 0.978443i | \(-0.566213\pi\) |
−0.950615 | + | 0.310373i | \(0.899546\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 224.706 | + | 220.166i | 1.28403 | + | 1.25809i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 23.6985 | − | 41.0470i | 0.133890 | − | 0.231904i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −42.6396 | − | 73.8540i | −0.238210 | − | 0.412592i | 0.721991 | − | 0.691903i | \(-0.243227\pi\) |
−0.960201 | + | 0.279311i | \(0.909894\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 5.58655i | − | 0.0308649i | −0.999881 | − | 0.0154325i | \(-0.995087\pi\) | ||
0.999881 | − | 0.0154325i | \(-0.00491250\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 69.9411 | 0.382192 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −43.2426 | + | 24.9662i | −0.233744 | + | 0.134952i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −97.4558 | − | 56.2662i | −0.521154 | − | 0.300889i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 9.77208 | + | 35.0358i | 0.0517041 | + | 0.185375i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 92.6985 | − | 160.558i | 0.485332 | − | 0.840620i | −0.514526 | − | 0.857475i | \(-0.672032\pi\) |
0.999858 | + | 0.0168547i | \(0.00536527\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −113.897 | − | 197.275i | −0.590140 | − | 1.02215i | −0.994213 | − | 0.107425i | \(-0.965739\pi\) |
0.404073 | − | 0.914727i | \(-0.367594\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 258.763i | 1.32699i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 123.161 | 0.625185 | 0.312593 | − | 0.949887i | \(-0.398803\pi\) | ||||
0.312593 | + | 0.949887i | \(0.398803\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.39697 | + | 3.11594i | −0.0271205 | + | 0.0156580i | −0.513499 | − | 0.858090i | \(-0.671651\pi\) |
0.486378 | + | 0.873748i | \(0.338318\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 171.595 | + | 99.0707i | 0.853709 | + | 0.492889i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 228.853 | − | 63.8309i | 1.12735 | − | 0.314438i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −147.338 | + | 255.197i | −0.718722 | + | 1.24486i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −20.1838 | − | 34.9593i | −0.0975061 | − | 0.168886i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 102.140i | 0.488708i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 124.912 | 0.591999 | 0.295999 | − | 0.955188i | \(-0.404347\pi\) | ||||
0.295999 | + | 0.955188i | \(0.404347\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 27.9045 | − | 16.1107i | 0.131007 | − | 0.0756371i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −112.154 | − | 64.7523i | −0.521648 | − | 0.301174i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −72.2498 | + | 73.7396i | −0.332948 | + | 0.339814i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 101.353 | − | 175.548i | 0.462798 | − | 0.801590i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 167.522 | + | 290.156i | 0.758017 | + | 1.31292i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 228.631i | 1.02525i | 0.858613 | + | 0.512625i | \(0.171327\pi\) | ||||
−0.858613 | + | 0.512625i | \(0.828673\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 134.823 | 0.599215 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 146.823 | − | 84.7685i | 0.646799 | − | 0.373430i | −0.140430 | − | 0.990091i | \(-0.544848\pi\) |
0.787229 | + | 0.616661i | \(0.211515\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 30.0442 | + | 17.3460i | 0.131197 | + | 0.0757467i | 0.564162 | − | 0.825664i | \(-0.309199\pi\) |
−0.432965 | + | 0.901411i | \(0.642533\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −70.4558 | − | 18.1101i | −0.305004 | − | 0.0783985i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 127.243 | − | 220.391i | 0.546106 | − | 0.945883i | −0.452431 | − | 0.891800i | \(-0.649443\pi\) |
0.998536 | − | 0.0540833i | \(-0.0172237\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 138.853 | + | 240.500i | 0.590863 | + | 1.02340i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 153.006i | − | 0.645595i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −197.147 | −0.824884 | −0.412442 | − | 0.910984i | \(-0.635324\pi\) | ||||
−0.412442 | + | 0.910984i | \(0.635324\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 76.6173 | − | 44.2350i | 0.317914 | − | 0.183548i | −0.332548 | − | 0.943086i | \(-0.607908\pi\) |
0.650462 | + | 0.759538i | \(0.274575\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 13.5000 | + | 7.79423i | 0.0555556 | + | 0.0320750i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 409.706 | − | 8.36308i | 1.67227 | − | 0.0341350i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 152.051 | − | 263.361i | 0.615592 | − | 1.06624i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 65.6102 | + | 113.640i | 0.263495 | + | 0.456386i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 215.903i | 0.860172i | 0.902788 | + | 0.430086i | \(0.141517\pi\) | ||||
−0.902788 | + | 0.430086i | \(0.858483\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 80.7351 | 0.319111 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 235.279 | − | 135.839i | 0.922664 | − | 0.532700i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.72792 | − | 2.15232i | −0.0145055 | − | 0.00837477i | 0.492730 | − | 0.870182i | \(-0.335999\pi\) |
−0.507235 | + | 0.861808i | \(0.669332\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.4045 | + | 40.4781i | −0.0401720 | + | 0.156286i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 50.9117 | − | 88.1816i | 0.195064 | − | 0.337861i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 141.338 | + | 244.805i | 0.537407 | + | 0.930817i | 0.999043 | + | 0.0437468i | \(0.0139295\pi\) |
−0.461635 | + | 0.887070i | \(0.652737\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 288.896i | 1.09017i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 36.0000 | 0.134831 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −330.765 | + | 190.967i | −1.22961 | + | 0.709914i | −0.966948 | − | 0.254974i | \(-0.917933\pi\) |
−0.262660 | + | 0.964888i | \(0.584600\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 73.0294 | + | 42.1636i | 0.269481 | + | 0.155585i | 0.628652 | − | 0.777687i | \(-0.283607\pi\) |
−0.359171 | + | 0.933272i | \(0.616940\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 154.706 | + | 151.580i | 0.566687 | + | 0.555238i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −134.823 | + | 233.521i | −0.490267 | + | 0.849167i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 68.5589 | + | 118.747i | 0.247505 | + | 0.428691i | 0.962833 | − | 0.270098i | \(-0.0870560\pi\) |
−0.715328 | + | 0.698789i | \(0.753723\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 44.2438i | 0.158580i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −325.103 | −1.15695 | −0.578474 | − | 0.815701i | \(-0.696352\pi\) | ||||
−0.578474 | + | 0.815701i | \(0.696352\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −168.507 | + | 97.2876i | −0.595432 | + | 0.343773i | −0.767242 | − | 0.641357i | \(-0.778372\pi\) |
0.171811 | + | 0.985130i | \(0.445038\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −213.551 | − | 123.294i | −0.749303 | − | 0.432610i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 66.2649 | + | 237.579i | 0.230888 | + | 0.827803i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 31.3823 | − | 54.3557i | 0.108589 | − | 0.188082i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −26.4853 | − | 45.8739i | −0.0910147 | − | 0.157642i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 239.702i | − | 0.818095i | −0.912513 | − | 0.409048i | \(-0.865861\pi\) | ||
0.912513 | − | 0.409048i | \(-0.134139\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −228.853 | −0.775772 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −27.0000 | + | 15.5885i | −0.0909091 | + | 0.0524864i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −208.169 | − | 120.187i | −0.696219 | − | 0.401962i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −104.412 | + | 29.1222i | −0.346883 | + | 0.0967515i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −110.823 | + | 191.952i | −0.365754 | + | 0.633504i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −168.853 | − | 292.462i | −0.553616 | − | 0.958891i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 540.272i | − | 1.75984i | −0.475120 | − | 0.879921i | \(-0.657595\pi\) | ||
0.475120 | − | 0.879921i | \(-0.342405\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −140.220 | −0.453788 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −350.044 | + | 202.098i | −1.12554 | + | 0.649832i | −0.942810 | − | 0.333330i | \(-0.891828\pi\) |
−0.182732 | + | 0.983163i | \(0.558494\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −113.706 | − | 65.6482i | −0.363278 | − | 0.209739i | 0.307240 | − | 0.951632i | \(-0.400595\pi\) |
−0.670518 | + | 0.741893i | \(0.733928\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 122.912 | − | 125.446i | 0.390196 | − | 0.398242i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 46.9706 | − | 81.3554i | 0.148172 | − | 0.256642i | −0.782380 | − | 0.622802i | \(-0.785994\pi\) |
0.930552 | + | 0.366160i | \(0.119328\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 101.823 | + | 176.363i | 0.319196 | + | 0.552863i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 293.506i | 0.914349i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −319.279 | −0.988481 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 695.265 | − | 401.411i | 2.13928 | − | 1.23511i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 268.412 | + | 154.968i | 0.820831 | + | 0.473907i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 225.125 | + | 57.8664i | 0.684270 | + | 0.175886i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −130.684 | + | 226.351i | −0.394815 | + | 0.683840i | −0.993078 | − | 0.117460i | \(-0.962525\pi\) |
0.598263 | + | 0.801300i | \(0.295858\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 8.95584 | + | 15.5120i | 0.0268944 | + | 0.0465825i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − | 956.711i | − | 2.85585i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 136.265 | 0.404347 | 0.202173 | − | 0.979350i | \(-0.435200\pi\) | ||||
0.202173 | + | 0.979350i | \(0.435200\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 26.0955 | − | 15.0662i | 0.0769777 | − | 0.0444431i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −76.6325 | − | 44.2438i | −0.224729 | − | 0.129747i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 235.000 | − | 249.848i | 0.685131 | − | 0.728420i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −97.4558 | + | 168.798i | −0.282481 | + | 0.489271i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −161.095 | − | 279.026i | −0.464252 | − | 0.804108i | 0.534915 | − | 0.844906i | \(-0.320343\pi\) |
−0.999167 | + | 0.0407975i | \(0.987010\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 346.495i | 0.992821i | 0.868088 | + | 0.496411i | \(0.165349\pi\) | ||||
−0.868088 | + | 0.496411i | \(0.834651\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 92.8234 | 0.264454 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −537.448 | + | 310.296i | −1.52252 | + | 0.879025i | −0.522869 | + | 0.852413i | \(0.675138\pi\) |
−0.999646 | + | 0.0266116i | \(0.991528\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −134.735 | − | 77.7893i | −0.379535 | − | 0.219125i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 56.6102 | − | 220.238i | 0.158572 | − | 0.616912i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 10.1177 | − | 17.5245i | 0.0281831 | − | 0.0488146i | −0.851590 | − | 0.524209i | \(-0.824361\pi\) |
0.879773 | + | 0.475394i | \(0.157695\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −35.6030 | − | 61.6663i | −0.0986234 | − | 0.170821i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 147.224i | 0.405577i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −978.749 | −2.68151 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 269.831 | − | 155.787i | 0.735234 | − | 0.424488i | −0.0850998 | − | 0.996372i | \(-0.527121\pi\) |
0.820334 | + | 0.571885i | \(0.193788\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 91.5442 | + | 52.8530i | 0.248087 | + | 0.143233i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 172.721 | + | 169.231i | 0.465555 | + | 0.456149i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 340.691 | − | 590.094i | 0.913380 | − | 1.58202i | 0.104125 | − | 0.994564i | \(-0.466796\pi\) |
0.809255 | − | 0.587457i | \(-0.199871\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −144.426 | − | 250.154i | −0.385137 | − | 0.667077i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 606.320i | − | 1.60828i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 624.779 | 1.64849 | 0.824246 | − | 0.566231i | \(-0.191599\pi\) | ||||
0.824246 | + | 0.566231i | \(0.191599\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 251.140 | − | 144.996i | 0.659159 | − | 0.380566i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −119.772 | − | 69.1502i | −0.312720 | − | 0.180549i | 0.335423 | − | 0.942068i | \(-0.391121\pi\) |
−0.648143 | + | 0.761519i | \(0.724454\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 94.3675 | + | 338.336i | 0.245110 | + | 0.878794i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −23.2279 | + | 40.2319i | −0.0600205 | + | 0.103959i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 281.787 | + | 488.069i | 0.724388 | + | 1.25468i | 0.959226 | + | 0.282642i | \(0.0912107\pi\) |
−0.234838 | + | 0.972035i | \(0.575456\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 252.370i | 0.645446i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.08831 | −0.00785830 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −639.801 | + | 369.389i | −1.61975 | + | 0.935163i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −392.603 | − | 226.669i | −0.988923 | − | 0.570955i | −0.0839711 | − | 0.996468i | \(-0.526760\pi\) |
−0.904952 | + | 0.425513i | \(0.860094\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −198.809 | + | 55.4511i | −0.498267 | + | 0.138975i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 137.875 | − | 238.807i | 0.343828 | − | 0.595528i | −0.641312 | − | 0.767280i | \(-0.721610\pi\) |
0.985140 | + | 0.171752i | \(0.0549429\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 131.727 | + | 228.159i | 0.326867 | + | 0.566151i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | − | 75.2677i | − | 0.185846i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −35.8234 | −0.0880181 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −377.441 | + | 217.916i | −0.922839 | + | 0.532801i | −0.884540 | − | 0.466465i | \(-0.845527\pi\) |
−0.0382993 | + | 0.999266i | \(0.512194\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 151.456 | + | 87.4431i | 0.368506 | + | 0.212757i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −134.059 | + | 136.823i | −0.324598 | + | 0.331291i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 316.794 | − | 548.703i | 0.763359 | − | 1.32218i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −121.713 | − | 210.813i | −0.291878 | − | 0.505548i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 301.257i | 0.718991i | 0.933147 | + | 0.359496i | \(0.117051\pi\) | ||||
−0.933147 | + | 0.359496i | \(0.882949\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −203.794 | −0.484071 | −0.242036 | − | 0.970267i | \(-0.577815\pi\) | ||||
−0.242036 | + | 0.970267i | \(0.577815\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 86.2721 | − | 49.8092i | 0.203953 | − | 0.117752i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −729.963 | − | 421.444i | −1.71756 | − | 0.991633i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −273.765 | − | 70.3688i | −0.641135 | − | 0.164798i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −92.8234 | + | 160.775i | −0.216372 | + | 0.374766i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −197.860 | − | 342.703i | −0.459072 | − | 0.795136i | 0.539840 | − | 0.841767i | \(-0.318485\pi\) |
−0.998912 | + | 0.0466317i | \(0.985151\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 44.2685i | − | 0.102237i | −0.998693 | − | 0.0511184i | \(-0.983721\pi\) | ||
0.998693 | − | 0.0511184i | \(-0.0162786\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −491.647 | −1.13022 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 198.375 | − | 114.532i | 0.453947 | − | 0.262086i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −344.558 | − | 198.931i | −0.784871 | − | 0.453146i | 0.0532827 | − | 0.998579i | \(-0.483032\pi\) |
−0.838154 | + | 0.545434i | \(0.816365\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.00000 | − | 146.969i | −0.00680272 | − | 0.333264i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −59.2721 | + | 102.662i | −0.133797 | + | 0.231743i | −0.925137 | − | 0.379633i | \(-0.876050\pi\) |
0.791340 | + | 0.611376i | \(0.209384\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −86.9117 | − | 150.535i | −0.195307 | − | 0.338282i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 316.812i | − | 0.708752i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 713.897 | 1.58997 | 0.794985 | − | 0.606629i | \(-0.207479\pi\) | ||||
0.794985 | + | 0.606629i | \(0.207479\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −183.088 | + | 105.706i | −0.405961 | + | 0.234382i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 433.191 | + | 250.103i | 0.956271 | + | 0.552104i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 260.345 | − | 1012.85i | 0.572187 | − | 2.22605i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 62.5883 | − | 108.406i | 0.136955 | − | 0.237213i | −0.789388 | − | 0.613895i | \(-0.789602\pi\) |
0.926342 | + | 0.376682i | \(0.122935\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −48.7279 | − | 84.3992i | −0.106161 | − | 0.183876i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 655.767i | 1.42249i | 0.702945 | + | 0.711244i | \(0.251868\pi\) | ||||
−0.702945 | + | 0.711244i | \(0.748132\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −869.396 | −1.87775 | −0.938873 | − | 0.344265i | \(-0.888128\pi\) | ||||
−0.938873 | + | 0.344265i | \(0.888128\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 185.007 | − | 106.814i | 0.397865 | − | 0.229707i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 231.551 | + | 133.686i | 0.495827 | + | 0.286266i | 0.726989 | − | 0.686649i | \(-0.240919\pi\) |
−0.231162 | + | 0.972915i | \(0.574253\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −571.985 | − | 560.428i | −1.21958 | − | 1.19494i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −162.000 | + | 280.592i | −0.343949 | + | 0.595737i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −46.4558 | − | 80.4639i | −0.0982153 | − | 0.170114i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 765.048i | 1.61063i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 103.632 | 0.217259 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −235.331 | + | 135.868i | −0.491296 | + | 0.283650i | −0.725112 | − | 0.688631i | \(-0.758212\pi\) |
0.233816 | + | 0.972281i | \(0.424879\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 92.3680 | + | 53.3287i | 0.192033 | + | 0.110870i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 43.8305 | + | 157.145i | 0.0907464 | + | 0.325353i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −127.882 | + | 221.499i | −0.263675 | + | 0.456698i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −280.757 | − | 486.285i | −0.576503 | − | 0.998532i | −0.995877 | − | 0.0907186i | \(-0.971084\pi\) |
0.419374 | − | 0.907814i | \(-0.362250\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 27.8148i | 0.0568810i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 406.441 | 0.827781 | 0.413891 | − | 0.910327i | \(-0.364170\pi\) | ||||
0.413891 | + | 0.910327i | \(0.364170\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −551.294 | + | 318.289i | −1.11824 | + | 0.645618i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 130.368 | + | 75.2677i | 0.263369 | + | 0.152056i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −125.434 | + | 34.9856i | −0.252381 | + | 0.0703935i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −185.713 | + | 321.665i | −0.372171 | + | 0.644619i | −0.989899 | − | 0.141773i | \(-0.954720\pi\) |
0.617728 | + | 0.786391i | \(0.288053\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −152.522 | − | 264.176i | −0.304435 | − | 0.527297i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − | 64.6292i | − | 0.128488i | −0.997934 | − | 0.0642438i | \(-0.979536\pi\) | ||
0.997934 | − | 0.0642438i | \(-0.0204635\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1070.21 | 2.11922 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 225.177 | − | 130.006i | 0.444135 | − | 0.256422i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 871.889 | + | 503.385i | 1.71294 | + | 0.988969i | 0.930534 | + | 0.366205i | \(0.119343\pi\) |
0.782410 | + | 0.622764i | \(0.213990\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −573.338 | + | 585.161i | −1.12199 | + | 1.14513i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −44.2279 | + | 76.6050i | −0.0862143 | + | 0.149328i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 338.522 | + | 586.337i | 0.657324 | + | 1.13852i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 199.237i | 0.385371i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 400.368 | 0.771421 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −322.294 | + | 186.077i | −0.618607 | + | 0.357153i | −0.776327 | − | 0.630331i | \(-0.782919\pi\) |
0.157719 | + | 0.987484i | \(0.449586\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 551.904 | + | 318.642i | 1.05527 | + | 0.609258i | 0.924119 | − | 0.382105i | \(-0.124801\pi\) |
0.131147 | + | 0.991363i | \(0.458134\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −527.727 | − | 135.648i | −1.00520 | − | 0.258377i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 138.302 | − | 239.545i | 0.262432 | − | 0.454545i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 173.970 | + | 301.325i | 0.328866 | + | 0.569613i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 82.0940i | 0.154603i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 629.440 | 1.18094 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1227.31 | − | 708.586i | 2.29403 | − | 1.32446i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 127.919 | + | 73.8540i | 0.238210 | + | 0.137531i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 257.558 | + | 141.773i | 0.477845 | + | 0.263030i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −110.412 | + | 191.239i | −0.204088 | + | 0.353491i | −0.949842 | − | 0.312731i | \(-0.898756\pi\) |
0.745754 | + | 0.666222i | \(0.232090\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 4.83810 | + | 8.37983i | 0.00890994 | + | 0.0154325i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | − | 1496.50i | − | 2.74587i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 160.676 | 0.293741 | 0.146870 | − | 0.989156i | \(-0.453080\pi\) | ||||
0.146870 | + | 0.989156i | \(0.453080\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −104.912 | + | 60.5708i | −0.191096 | + | 0.110329i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 500.382 | + | 288.896i | 0.908134 | + | 0.524311i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −153.942 | + | 598.898i | −0.278375 | + | 1.08300i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 43.2426 | − | 74.8985i | 0.0779147 | − | 0.134952i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 237.177 | + | 410.802i | 0.425811 | + | 0.737526i | 0.996496 | − | 0.0836431i | \(-0.0266556\pi\) |
−0.570685 | + | 0.821169i | \(0.693322\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 276.627i | 0.494860i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 194.912 | 0.347436 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 430.301 | − | 248.434i | 0.764300 | − | 0.441269i | −0.0665378 | − | 0.997784i | \(-0.521195\pi\) |
0.830837 | + | 0.556515i | \(0.187862\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −126.000 | − | 72.7461i | −0.223009 | − | 0.128754i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −45.0000 | − | 44.0908i | −0.0793651 | − | 0.0777616i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −392.647 | + | 680.084i | −0.690065 | + | 1.19523i | 0.281752 | + | 0.959487i | \(0.409085\pi\) |
−0.971816 | + | 0.235740i | \(0.924249\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −357.521 | − | 619.245i | −0.626132 | − | 1.08449i | −0.988321 | − | 0.152388i | \(-0.951304\pi\) |
0.362189 | − | 0.932105i | \(-0.382030\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 321.117i | 0.560414i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 604.721 | 1.05169 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 669.117 | − | 386.315i | 1.15965 | − | 0.669524i | 0.208429 | − | 0.978038i | \(-0.433165\pi\) |
0.951220 | + | 0.308514i | \(0.0998317\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 341.691 | + | 197.275i | 0.590140 | + | 0.340717i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −142.477 | − | 510.823i | −0.245228 | − | 0.879214i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −103.632 | + | 179.497i | −0.177757 | + | 0.307885i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −224.095 | − | 388.145i | −0.383069 | − | 0.663495i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 436.477i | 0.743572i | 0.928318 | + | 0.371786i | \(0.121254\pi\) | ||||
−0.928318 | + | 0.371786i | \(0.878746\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −251.059 | −0.426246 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −184.742 | + | 106.661i | −0.312593 | + | 0.180475i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 722.397 | + | 417.076i | 1.21821 | + | 0.703332i | 0.964534 | − | 0.263958i | \(-0.0850279\pi\) |
0.253673 | + | 0.967290i | \(0.418361\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1057.60 | + | 294.983i | −1.77748 | + | 0.495770i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 5.39697 | − | 9.34783i | 0.00904015 | − | 0.0156580i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 436.794 | + | 756.549i | 0.729205 | + | 1.26302i | 0.957220 | + | 0.289363i | \(0.0934434\pi\) |
−0.228014 | + | 0.973658i | \(0.573223\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 198.982i | 0.331085i | 0.986203 | + | 0.165542i | \(0.0529375\pi\) | ||||
−0.986203 | + | 0.165542i | \(0.947063\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −343.191 | −0.569139 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 615.624 | − | 355.431i | 1.01756 | − | 0.587489i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −137.654 | − | 79.4748i | −0.226778 | − | 0.130930i | 0.382307 | − | 0.924035i | \(-0.375130\pi\) |
−0.609085 | + | 0.793105i | \(0.708463\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −288.000 | + | 293.939i | −0.472906 | + | 0.482658i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 296.595 | − | 513.718i | 0.485426 | − | 0.840782i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 357.368 | + | 618.979i | 0.582981 | + | 1.00975i | 0.995124 | + | 0.0986338i | \(0.0314473\pi\) |
−0.412143 | + | 0.911119i | \(0.635219\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | − | 510.394i | − | 0.829909i | ||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −639.381 | −1.03627 | −0.518137 | − | 0.855298i | \(-0.673374\pi\) | ||||
−0.518137 | + | 0.855298i | \(0.673374\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −148.978 | + | 86.0126i | −0.240676 | + | 0.138954i | −0.615487 | − | 0.788147i | \(-0.711041\pi\) |
0.374812 | + | 0.927101i | \(0.377707\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 60.5513 | + | 34.9593i | 0.0975061 | + | 0.0562952i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −140.912 | − | 36.2201i | −0.226182 | − | 0.0581382i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −135.588 | + | 234.846i | −0.216941 | + | 0.375753i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −88.4558 | − | 153.210i | −0.141078 | − | 0.244354i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 111.980i | − | 0.178029i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1141.06 | 1.80833 | 0.904166 | − | 0.427180i | \(-0.140493\pi\) | ||||
0.904166 | + | 0.427180i | \(0.140493\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −187.368 | + | 108.177i | −0.295999 | + | 0.170895i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1212.61 | − | 700.100i | −1.90962 | − | 1.10252i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −453.044 | − | 748.968i | −0.711215 | − | 1.17577i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −27.9045 | + | 48.3321i | −0.0436691 | + | 0.0756371i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −114.551 | − | 198.409i | −0.178707 | − | 0.309530i | 0.762731 | − | 0.646716i | \(-0.223858\pi\) |
−0.941438 | + | 0.337186i | \(0.890525\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 707.670i | − | 1.10058i | −0.834975 | − | 0.550288i | \(-0.814518\pi\) | ||
0.834975 | − | 0.550288i | \(-0.185482\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 224.309 | 0.347765 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1021.37 | + | 589.687i | −1.57862 | + | 0.911417i | −0.583568 | + | 0.812064i | \(0.698344\pi\) |
−0.995052 | + | 0.0993530i | \(0.968323\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −142.191 | − | 82.0940i | −0.219092 | − | 0.126493i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 44.5143 | − | 173.180i | 0.0683783 | − | 0.266021i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 77.3818 | − | 134.029i | 0.118502 | − | 0.205252i | −0.800672 | − | 0.599103i | \(-0.795524\pi\) |
0.919174 | + | 0.393851i | \(0.128857\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.45584 | + | 12.9139i | 0.0113830 | + | 0.0197159i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 351.096i | 0.534393i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −591.308 | −0.897280 | −0.448640 | − | 0.893712i | \(-0.648092\pi\) | ||||
−0.448640 | + | 0.893712i | \(0.648092\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 140.441 | − | 81.0837i | 0.212468 | − | 0.122668i | −0.389990 | − | 0.920819i | \(-0.627522\pi\) |
0.602458 | + | 0.798151i | \(0.294188\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −502.566 | − | 290.156i | −0.758017 | − | 0.437642i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 711.838 | + | 697.456i | 1.07043 | + | 1.04881i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 228.353 | − | 395.519i | 0.342359 | − | 0.592983i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −198.000 | − | 342.946i | −0.295964 | − | 0.512625i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 242.283i | − | 0.361078i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 42.3238 | 0.0628883 | 0.0314441 | − | 0.999506i | \(-0.489989\pi\) | ||||
0.0314441 | + | 0.999506i | \(0.489989\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −202.235 | + | 116.760i | −0.299608 | + | 0.172978i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 430.721 | + | 248.677i | 0.636220 | + | 0.367322i | 0.783157 | − | 0.621824i | \(-0.213608\pi\) |
−0.146937 | + | 0.989146i | \(0.546941\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 57.5147 | + | 206.207i | 0.0847050 | + | 0.303693i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −146.823 | + | 254.306i | −0.215600 | + | 0.373430i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 608.080 | + | 1053.23i | 0.890308 | + | 1.54206i | 0.839506 | + | 0.543350i | \(0.182844\pi\) |
0.0508015 | + | 0.998709i | \(0.483822\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 844.425i | − | 1.23274i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −60.0883 | −0.0874648 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 534.418 | − | 308.546i | 0.775642 | − | 0.447817i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 932.182 | + | 538.196i | 1.34903 | + | 0.778865i | 0.988113 | − | 0.153731i | \(-0.0491290\pi\) |
0.360921 | + | 0.932596i | \(0.382462\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 121.368 | − | 33.8515i | 0.175134 | − | 0.0488477i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −587.683 | + | 1017.90i | −0.845588 | + | 1.46460i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −330.426 | − | 572.315i | −0.474069 | − | 0.821112i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 440.781i | 0.630589i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −695.897 | −0.992720 | −0.496360 | − | 0.868117i | \(-0.665330\pi\) | ||||
−0.496360 | + | 0.868117i | \(0.665330\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −88.0219 | + | 50.8194i | −0.125209 | + | 0.0722894i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −416.558 | − | 240.500i | −0.590863 | − | 0.341135i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 626.912 | − | 639.839i | 0.886721 | − | 0.905006i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −127.412 | + | 220.684i | −0.179707 | + | 0.311261i | −0.941780 | − | 0.336229i | \(-0.890848\pi\) |
0.762073 | + | 0.647491i | \(0.224182\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 132.507 | + | 229.509i | 0.186367 | + | 0.322798i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 198.446i | 0.278325i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 896.382 | 1.25368 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 295.721 | − | 170.734i | 0.412442 | − | 0.238123i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 964.925 | + | 557.100i | 1.34204 | + | 0.774826i | 0.987106 | − | 0.160066i | \(-0.0511709\pi\) |
0.354931 | + | 0.934892i | \(0.384504\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 548.852 | + | 141.078i | 0.761238 | + | 0.195669i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −76.6173 | + | 132.705i | −0.105971 | + | 0.183548i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 762.676 | + | 1320.99i | 1.05197 | + | 1.82206i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 398.345i | 0.547930i | 0.961740 | + | 0.273965i | \(0.0883353\pi\) | ||||
−0.961740 | + | 0.273965i | \(0.911665\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −27.0000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 251.522 | − | 145.216i | 0.344079 | − | 0.198654i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 818.514 | + | 472.569i | 1.11666 | + | 0.644706i | 0.940547 | − | 0.339663i | \(-0.110313\pi\) |
0.176116 | + | 0.984369i | \(0.443646\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −607.316 | + | 367.360i | −0.826280 | + | 0.499810i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 343.191 | − | 594.424i | 0.465659 | − | 0.806546i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 96.3162 | + | 166.825i | 0.130333 | + | 0.225744i | 0.923805 | − | 0.382863i | \(-0.125062\pi\) |
−0.793472 | + | 0.608607i | \(0.791729\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 526.721i | 0.710825i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 911.616 | 1.22694 | 0.613470 | − | 0.789718i | \(-0.289773\pi\) | ||||
0.613470 | + | 0.789718i | \(0.289773\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1324.76 | + | 764.853i | −1.77821 | + | 1.02665i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −196.831 | − | 113.640i | −0.263495 | − | 0.152129i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 295.301 | − | 1148.85i | 0.394260 | − | 1.53384i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −195.831 | + | 339.189i | −0.260760 | + | 0.451650i | −0.966444 | − | 0.256877i | \(-0.917307\pi\) |
0.705684 | + | 0.708527i | \(0.250640\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −186.978 | − | 323.855i | −0.248310 | − | 0.430086i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 2415.21i | − | 3.19895i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −152.823 | −0.201879 | −0.100940 | − | 0.994893i | \(-0.532185\pi\) | ||||
−0.100940 | + | 0.994893i | \(0.532185\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −121.103 | + | 69.9186i | −0.159555 | + | 0.0921194i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −109.331 | − | 63.1223i | −0.143667 | − | 0.0829465i | 0.426443 | − | 0.904514i | \(-0.359766\pi\) |
−0.570111 | + | 0.821568i | \(0.693100\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −894.706 | − | 876.629i | −1.17262 | − | 1.14892i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −235.279 | + | 407.516i | −0.307555 | + | 0.532700i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 244.419 | + | 423.347i | 0.318669 | + | 0.551951i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 369.148i | − | 0.480037i | −0.970768 | − | 0.240018i | \(-0.922847\pi\) | ||
0.970768 | − | 0.240018i | \(-0.0771535\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 7.45584 | 0.00967036 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1215.65 | + | 701.853i | −1.57263 | + | 0.907961i | −0.576789 | + | 0.816893i | \(0.695695\pi\) |
−0.995845 | + | 0.0910674i | \(0.970972\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −573.992 | − | 331.394i | −0.740634 | − | 0.427605i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −19.4483 | − | 69.7278i | −0.0250299 | − | 0.0897398i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −299.912 | + | 519.462i | −0.384996 | + | 0.666832i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −55.8091 | − | 96.6642i | −0.0714585 | − | 0.123770i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 176.363i | 0.225240i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1564.41 | 1.99288 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −196.161 | + | 113.253i | −0.249251 | + | 0.143905i | −0.619421 | − | 0.785059i | \(-0.712633\pi\) |
0.370170 | + | 0.928964i | \(0.379299\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −424.014 | − | 244.805i | −0.537407 | − | 0.310272i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −117.302 | + | 32.7174i | −0.148295 | + | 0.0413621i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −360.676 | + | 624.709i | −0.454825 | + | 0.787780i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −250.191 | − | 433.343i | −0.314706 | − | 0.545086i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 688.414i | − | 0.863756i | −0.901932 | − | 0.431878i | \(-0.857851\pi\) | ||
0.901932 | − | 0.431878i | \(-0.142149\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −622.794 | −0.779467 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −54.0000 | + | 31.1769i | −0.0674157 | + | 0.0389225i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −608.117 | − | 351.096i | −0.757306 | − | 0.437231i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 551.294 | − | 562.662i | 0.684837 | − | 0.698958i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 330.765 | − | 572.901i | 0.409869 | − | 0.709914i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −12.6396 | − | 21.8924i | −0.0156237 | − | 0.0270611i | 0.858108 | − | 0.513470i | \(-0.171640\pi\) |
−0.873732 | + | 0.486408i | \(0.838307\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 1527.62i | − | 1.88362i | −0.336145 | − | 0.941810i | \(-0.609123\pi\) | ||
0.336145 | − | 0.941810i | \(-0.390877\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −146.059 | −0.179654 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 116.309 | − | 67.1508i | 0.142710 | − | 0.0823937i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −228.294 | − | 131.806i | −0.279430 | − | 0.161329i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −363.331 | − | 93.3909i | −0.443627 | − | 0.114030i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 58.3310 | − | 101.032i | 0.0710487 | − | 0.123060i | −0.828312 | − | 0.560266i | \(-0.810699\pi\) |
0.899361 | + | 0.437206i | \(0.144032\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 62.9554 | + | 109.042i | 0.0764950 | + | 0.132493i | 0.901735 | − | 0.432288i | \(-0.142294\pi\) |
−0.825240 | + | 0.564782i | \(0.808960\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | − | 467.042i | − | 0.566111i | ||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1434.40 | 1.73446 | 0.867229 | − | 0.497910i | \(-0.165899\pi\) | ||||
0.867229 | + | 0.497910i | \(0.165899\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −32.3225 | + | 18.6614i | −0.0389898 | + | 0.0225107i | −0.519368 | − | 0.854551i | \(-0.673833\pi\) |
0.480378 | + | 0.877061i | \(0.340499\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −205.677 | − | 118.747i | −0.247505 | − | 0.142897i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −443.169 | + | 805.101i | −0.532015 | + | 0.966508i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −736.441 | + | 1275.55i | −0.881965 | + | 1.52761i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −38.3162 | − | 66.3657i | −0.0457781 | − | 0.0792899i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | − | 3.07370i | − | 0.00366353i | −0.999998 | − | 0.00183177i | \(-0.999417\pi\) | ||
0.999998 | − | 0.00183177i | \(-0.000583069\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 311.000 | 0.369798 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 487.654 | − | 281.547i | 0.578474 | − | 0.333982i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1087.25 | − | 627.723i | −1.28669 | − | 0.742868i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 148.124 | − | 576.267i | 0.174881 | − | 0.680363i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 168.507 | − | 291.863i | 0.198477 | − | 0.343773i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 40.1695 | + | 69.5756i | 0.0472027 | + | 0.0817574i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 155.257i | − | 0.182013i | −0.995850 | − | 0.0910063i | \(-0.970992\pi\) | ||
0.995850 | − | 0.0910063i | \(-0.0290083\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 427.103 | 0.499535 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1388.98 | + | 801.931i | −1.62075 | + | 0.935742i | −0.634033 | + | 0.773306i | \(0.718602\pi\) |
−0.986719 | + | 0.162436i | \(0.948065\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −545.367 | − | 314.868i | −0.634886 | − | 0.366551i | 0.147756 | − | 0.989024i | \(-0.452795\pi\) |
−0.782642 | + | 0.622472i | \(0.786128\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −305.147 | − | 298.982i | −0.354410 | − | 0.347250i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 514.706 | − | 891.496i | 0.596414 | − | 1.03302i | −0.396931 | − | 0.917848i | \(-0.629925\pi\) |
0.993346 | − | 0.115172i | \(-0.0367418\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −966.573 | − | 1674.15i | −1.11743 | − | 1.93544i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 108.711i | 0.125388i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −530.029 | −0.609929 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1769.79 | + | 1021.79i | −2.03190 | + | 1.17312i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 79.4558 | + | 45.8739i | 0.0910147 | + | 0.0525474i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 313.632 | + | 1124.47i | 0.358437 | + | 1.28510i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −324.220 | + | 561.566i | −0.369693 | + | 0.640326i | −0.989517 | − | 0.144414i | \(-0.953870\pi\) |
0.619825 | + | 0.784740i | \(0.287204\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 207.588 | + | 359.553i | 0.236164 | + | 0.409048i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 363.857i | − | 0.413005i | −0.978446 | − | 0.206502i | \(-0.933792\pi\) | ||
0.978446 | − | 0.206502i | \(-0.0662082\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1536.16 | −1.73971 | −0.869853 | − | 0.493312i | \(-0.835786\pi\) | ||||
−0.869853 | + | 0.493312i | \(0.835786\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 343.279 | − | 198.192i | 0.387886 | − | 0.223946i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −974.720 | − | 562.755i | −1.09890 | − | 0.634447i | −0.162964 | − | 0.986632i | \(-0.552106\pi\) |
−0.935931 | + | 0.352185i | \(0.885439\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1128.90 | + | 314.868i | −1.26985 | + | 0.354183i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 27.0000 | − | 46.7654i | 0.0303030 | − | 0.0524864i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 282.640 | + | 489.546i | 0.316506 | + | 0.548204i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 713.197i | − | 0.796868i | ||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 416.339 | 0.464146 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −433.499 | + | 250.281i | −0.482201 | + | 0.278399i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −561.088 | − | 323.944i | −0.622740 | − | 0.359539i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 131.397 | − | 134.106i | 0.145512 | − | 0.148512i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 23.3604 | − | 40.4614i | 0.0258126 | − | 0.0447087i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 117.448 | + | 203.426i | 0.129491 | + | 0.224285i | 0.923479 | − | 0.383648i | \(-0.125332\pi\) |
−0.793989 | + | 0.607933i | \(0.791999\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | − | 383.903i | − | 0.422336i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −224.278 | −0.246189 | −0.123095 | − | 0.992395i | \(-0.539282\pi\) | ||||
−0.123095 | + | 0.992395i | \(0.539282\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 393.661 | − | 227.280i | 0.431173 | − | 0.248938i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 506.558 | + | 292.462i | 0.553616 | + | 0.319630i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 12.0883 | + | 3.10719i | 0.0131825 | + | 0.00338843i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −466.081 | + | 807.276i | −0.507161 | + | 0.878428i | 0.492805 | + | 0.870140i | \(0.335972\pi\) |
−0.999966 | + | 0.00828836i | \(0.997362\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 467.889 | + | 810.407i | 0.508023 | + | 0.879921i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 332.322i | 0.360046i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −268.324 | −0.290080 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 210.331 | − | 121.434i | 0.226894 | − | 0.130997i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −618.390 | − | 357.028i | −0.665651 | − | 0.384314i | 0.128776 | − | 0.991674i | \(-0.458895\pi\) |
−0.794427 | + | 0.607360i | \(0.792229\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 833.970 | − | 17.0233i | 0.895778 | − | 0.0182850i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 350.044 | − | 606.294i | 0.375181 | − | 0.649832i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −470.558 | − | 815.031i | −0.503271 | − | 0.871691i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 1723.25i | − | 1.83912i | −0.392952 | − | 0.919559i | \(-0.628546\pi\) | ||
0.392952 | − | 0.919559i | \(-0.371454\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 227.412 | 0.242185 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 835.508 | − | 482.381i | 0.887893 | − | 0.512625i | 0.0146405 | − | 0.999893i | \(-0.495340\pi\) |
0.873253 | + | 0.487267i | \(0.162006\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 410.601 | + | 237.061i | 0.435420 | + | 0.251390i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −75.7279 | + | 294.614i | −0.0801354 | + | 0.311761i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 725.881 | − | 1257.26i | 0.766506 | − | 1.32763i | −0.172940 | − | 0.984932i | \(-0.555327\pi\) |
0.939447 | − | 0.342695i | \(-0.111340\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1045.32 | + | 1810.55i | 1.10150 | + | 1.90785i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 162.711i | 0.171094i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1147.43 | 1.20401 | 0.602007 | − | 0.798491i | \(-0.294368\pi\) | ||||
0.602007 | + | 0.798491i | \(0.294368\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1342.76 | − | 775.245i | 1.40604 | − | 0.811775i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −305.470 | − | 176.363i | −0.319196 | − | 0.184288i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −504.853 | − | 494.653i | −0.526437 | − | 0.515801i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −371.749 | + | 643.889i | −0.386836 | + | 0.670020i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −254.184 | − | 440.259i | −0.263950 | − | 0.457175i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | − | 1905.06i | − | 1.97415i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −412.190 | −0.426257 | −0.213128 | − | 0.977024i | \(-0.568365\pi\) | ||||
−0.213128 | + | 0.977024i | \(0.568365\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 478.919 | − | 276.504i | 0.494240 | − | 0.285350i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −869.595 | − | 502.061i | −0.895566 | − | 0.517056i | −0.0198073 | − | 0.999804i | \(-0.506305\pi\) |
−0.875759 | + | 0.482748i | \(0.839639\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 264.309 | + | 947.626i | 0.271643 | + | 0.973922i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −695.265 | + | 1204.23i | −0.713092 | + | 1.23511i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 794.117 | + | 1375.45i | 0.812812 | + | 1.40783i | 0.910889 | + | 0.412652i | \(0.135397\pi\) |
−0.0980772 | + | 0.995179i | \(0.531269\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 124.708i | − | 0.127383i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −536.823 | −0.547221 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −721.861 | + | 416.767i | −0.734345 | + | 0.423974i | −0.820009 | − | 0.572350i | \(-0.806032\pi\) |
0.0856648 | + | 0.996324i | \(0.472699\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 892.014 | + | 515.005i | 0.905598 | + | 0.522847i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −387.801 | + | 108.164i | −0.392909 | + | 0.109589i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −104.184 | + | 180.452i | −0.105343 | + | 0.182459i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 33.4483 | + | 57.9341i | 0.0337520 | + | 0.0584602i | 0.882408 | − | 0.470485i | \(-0.155921\pi\) |
−0.848656 | + | 0.528945i | \(0.822588\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − | 452.702i | − | 0.455893i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −52.1177 | −0.0523796 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1268.65 | − | 732.453i | 1.27246 | − | 0.734657i | 0.297012 | − | 0.954874i | \(-0.404010\pi\) |
0.975451 | + | 0.220217i | \(0.0706765\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −26.8675 | − | 15.5120i | −0.0268944 | − | 0.0155275i |
(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 | 336.3.bh.e.145.2 | 4 | ||
3.2 | odd | 2 | 1008.3.cg.h.145.1 | 4 | |||
4.3 | odd | 2 | 42.3.g.a.19.1 | ✓ | 4 | ||
7.2 | even | 3 | 2352.3.f.e.97.1 | 4 | |||
7.3 | odd | 6 | inner | 336.3.bh.e.241.2 | 4 | ||
7.5 | odd | 6 | 2352.3.f.e.97.4 | 4 | |||
12.11 | even | 2 | 126.3.n.a.19.2 | 4 | |||
20.3 | even | 4 | 1050.3.q.a.649.4 | 8 | |||
20.7 | even | 4 | 1050.3.q.a.649.1 | 8 | |||
20.19 | odd | 2 | 1050.3.p.a.901.2 | 4 | |||
21.17 | even | 6 | 1008.3.cg.h.577.1 | 4 | |||
28.3 | even | 6 | 42.3.g.a.31.1 | yes | 4 | ||
28.11 | odd | 6 | 294.3.g.a.31.1 | 4 | |||
28.19 | even | 6 | 294.3.c.a.97.3 | 4 | |||
28.23 | odd | 6 | 294.3.c.a.97.4 | 4 | |||
28.27 | even | 2 | 294.3.g.a.19.1 | 4 | |||
84.11 | even | 6 | 882.3.n.e.325.2 | 4 | |||
84.23 | even | 6 | 882.3.c.b.685.2 | 4 | |||
84.47 | odd | 6 | 882.3.c.b.685.1 | 4 | |||
84.59 | odd | 6 | 126.3.n.a.73.2 | 4 | |||
84.83 | odd | 2 | 882.3.n.e.19.2 | 4 | |||
140.3 | odd | 12 | 1050.3.q.a.199.1 | 8 | |||
140.59 | even | 6 | 1050.3.p.a.451.2 | 4 | |||
140.87 | odd | 12 | 1050.3.q.a.199.4 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
42.3.g.a.19.1 | ✓ | 4 | 4.3 | odd | 2 | ||
42.3.g.a.31.1 | yes | 4 | 28.3 | even | 6 | ||
126.3.n.a.19.2 | 4 | 12.11 | even | 2 | |||
126.3.n.a.73.2 | 4 | 84.59 | odd | 6 | |||
294.3.c.a.97.3 | 4 | 28.19 | even | 6 | |||
294.3.c.a.97.4 | 4 | 28.23 | odd | 6 | |||
294.3.g.a.19.1 | 4 | 28.27 | even | 2 | |||
294.3.g.a.31.1 | 4 | 28.11 | odd | 6 | |||
336.3.bh.e.145.2 | 4 | 1.1 | even | 1 | trivial | ||
336.3.bh.e.241.2 | 4 | 7.3 | odd | 6 | inner | ||
882.3.c.b.685.1 | 4 | 84.47 | odd | 6 | |||
882.3.c.b.685.2 | 4 | 84.23 | even | 6 | |||
882.3.n.e.19.2 | 4 | 84.83 | odd | 2 | |||
882.3.n.e.325.2 | 4 | 84.11 | even | 6 | |||
1008.3.cg.h.145.1 | 4 | 3.2 | odd | 2 | |||
1008.3.cg.h.577.1 | 4 | 21.17 | even | 6 | |||
1050.3.p.a.451.2 | 4 | 140.59 | even | 6 | |||
1050.3.p.a.901.2 | 4 | 20.19 | odd | 2 | |||
1050.3.q.a.199.1 | 8 | 140.3 | odd | 12 | |||
1050.3.q.a.199.4 | 8 | 140.87 | odd | 12 | |||
1050.3.q.a.649.1 | 8 | 20.7 | even | 4 | |||
1050.3.q.a.649.4 | 8 | 20.3 | even | 4 | |||
2352.3.f.e.97.1 | 4 | 7.2 | even | 3 | |||
2352.3.f.e.97.4 | 4 | 7.5 | odd | 6 |