Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [320,2,Mod(47,320)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(320, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("320.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 320 = 2^{6} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 320.j (of order \(4\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.55521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(9\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + \cdots + 512 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{17}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | no (minimal twist has level 80) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 47.9 | ||
Root | \(-0.480367 + 1.33013i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 320.47 |
Dual form | 320.2.j.b.143.1 |
$q$-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 \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(257\) | \(261\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 | ||||||||
\(3\) | 2.85601i | 1.64892i | 0.565923 | + | 0.824458i | \(0.308520\pi\) | ||||
−0.565923 | + | 0.824458i | \(0.691480\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.43498 | + | 1.71489i | 0.641741 | + | 0.766921i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.458895 | + | 0.458895i | 0.173446 | + | 0.173446i | 0.788491 | − | 0.615046i | \(-0.210862\pi\) |
−0.615046 | + | 0.788491i | \(0.710862\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −5.15678 | −1.71893 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.492763 | + | 0.492763i | 0.148574 | + | 0.148574i | 0.777481 | − | 0.628907i | \(-0.216497\pi\) |
−0.628907 | + | 0.777481i | \(0.716497\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.52109 | 1.25393 | 0.626963 | − | 0.779049i | \(-0.284298\pi\) | ||||
0.626963 | + | 0.779049i | \(0.284298\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.89773 | + | 4.09831i | −1.26459 | + | 1.05818i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.12823 | − | 3.12823i | −0.758708 | − | 0.758708i | 0.217379 | − | 0.976087i | \(-0.430249\pi\) |
−0.976087 | + | 0.217379i | \(0.930249\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.04508 | − | 4.04508i | −0.928005 | − | 0.928005i | 0.0695721 | − | 0.997577i | \(-0.477837\pi\) |
−0.997577 | + | 0.0695721i | \(0.977837\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.31061 | + | 1.31061i | −0.285998 | + | 0.285998i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.80660 | − | 1.80660i | 0.376701 | − | 0.376701i | −0.493209 | − | 0.869911i | \(-0.664176\pi\) |
0.869911 | + | 0.493209i | \(0.164176\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.881683 | + | 4.92165i | −0.176337 | + | 0.984330i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 6.15978i | − | 1.18545i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.83926 | + | 3.83926i | −0.712932 | + | 0.712932i | −0.967148 | − | 0.254215i | \(-0.918183\pi\) |
0.254215 | + | 0.967148i | \(0.418183\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 0.139949i | − | 0.0251356i | −0.999921 | − | 0.0125678i | \(-0.995999\pi\) | ||
0.999921 | − | 0.0125678i | \(-0.00400057\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.40733 | + | 1.40733i | −0.244985 | + | 0.244985i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.128450 | + | 1.44546i | −0.0217120 | + | 0.244327i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.84330 | 0.960633 | 0.480317 | − | 0.877095i | \(-0.340522\pi\) | ||||
0.480317 | + | 0.877095i | \(0.340522\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 12.9123i | 2.06762i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.55648i | 0.711602i | 0.934562 | + | 0.355801i | \(0.115792\pi\) | ||||
−0.934562 | + | 0.355801i | \(0.884208\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.49928 | 1.14363 | 0.571815 | − | 0.820383i | \(-0.306240\pi\) | ||||
0.571815 | + | 0.820383i | \(0.306240\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −7.39986 | − | 8.84330i | −1.10311 | − | 1.31828i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.14073 | − | 4.14073i | 0.603987 | − | 0.603987i | −0.337381 | − | 0.941368i | \(-0.609541\pi\) |
0.941368 | + | 0.337381i | \(0.109541\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 6.57883i | − | 0.939833i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 8.93426 | − | 8.93426i | 1.25105 | − | 1.25105i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 2.75773i | − | 0.378803i | −0.981900 | − | 0.189402i | \(-0.939345\pi\) | ||
0.981900 | − | 0.189402i | \(-0.0606548\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.137930 | + | 1.55214i | −0.0185985 | + | 0.209290i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 11.5528 | − | 11.5528i | 1.53020 | − | 1.53020i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.62521 | − | 3.62521i | 0.471962 | − | 0.471962i | −0.430587 | − | 0.902549i | \(-0.641694\pi\) |
0.902549 | + | 0.430587i | \(0.141694\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.72781 | + | 3.72781i | 0.477298 | + | 0.477298i | 0.904266 | − | 0.426969i | \(-0.140419\pi\) |
−0.426969 | + | 0.904266i | \(0.640419\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.36642 | − | 2.36642i | −0.298141 | − | 0.298141i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 6.48766 | + | 7.75317i | 0.804696 | + | 0.961662i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.32677 | −0.406430 | −0.203215 | − | 0.979134i | \(-0.565139\pi\) | ||||
−0.203215 | + | 0.979134i | \(0.565139\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 5.15965 | + | 5.15965i | 0.621149 | + | 0.621149i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.37056 | −0.162655 | −0.0813275 | − | 0.996687i | \(-0.525916\pi\) | ||||
−0.0813275 | + | 0.996687i | \(0.525916\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.55028 | − | 2.55028i | −0.298488 | − | 0.298488i | 0.541933 | − | 0.840422i | \(-0.317693\pi\) |
−0.840422 | + | 0.541933i | \(0.817693\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −14.0563 | − | 2.51809i | −1.62308 | − | 0.290764i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.452252i | 0.0515389i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.86426 | 0.434763 | 0.217382 | − | 0.976087i | \(-0.430248\pi\) | ||||
0.217382 | + | 0.976087i | \(0.430248\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.12204 | 0.235782 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 14.4698i | 1.58827i | 0.607744 | + | 0.794133i | \(0.292075\pi\) | ||||
−0.607744 | + | 0.794133i | \(0.707925\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.875628 | − | 9.85351i | 0.0949752 | − | 1.06876i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −10.9650 | − | 10.9650i | −1.17557 | − | 1.17557i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.35011 | −0.355111 | −0.177556 | − | 0.984111i | \(-0.556819\pi\) | ||||
−0.177556 | + | 0.984111i | \(0.556819\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.07470 | + | 2.07470i | 0.217488 | + | 0.217488i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.399696 | 0.0414466 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.13226 | − | 12.7415i | 0.116168 | − | 1.30725i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.95582 | − | 4.95582i | −0.503187 | − | 0.503187i | 0.409240 | − | 0.912427i | \(-0.365794\pi\) |
−0.912427 | + | 0.409240i | \(0.865794\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.54107 | − | 2.54107i | −0.255387 | − | 0.255387i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.84536 | + | 1.84536i | −0.183621 | + | 0.183621i | −0.792931 | − | 0.609311i | \(-0.791446\pi\) |
0.609311 | + | 0.792931i | \(0.291446\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 11.6655 | − | 11.6655i | 1.14944 | − | 1.14944i | 0.162773 | − | 0.986664i | \(-0.447956\pi\) |
0.986664 | − | 0.162773i | \(-0.0520437\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.12823 | − | 0.366853i | −0.402874 | − | 0.0358012i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 15.3106i | 1.48013i | 0.672534 | + | 0.740067i | \(0.265206\pi\) | ||||
−0.672534 | + | 0.740067i | \(0.734794\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.4798 | − | 12.4798i | 1.19535 | − | 1.19535i | 0.219803 | − | 0.975544i | \(-0.429458\pi\) |
0.975544 | − | 0.219803i | \(-0.0705416\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 16.6885i | 1.58400i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.53557 | − | 2.53557i | 0.238526 | − | 0.238526i | −0.577713 | − | 0.816240i | \(-0.696055\pi\) |
0.816240 | + | 0.577713i | \(0.196055\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.69053 | + | 0.505686i | 0.530645 | + | 0.0471555i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −23.3143 | −2.15541 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | − | 2.87106i | − | 0.263189i | ||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | − | 10.5144i | − | 0.955852i | ||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −13.0133 | −1.17337 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.70527 | + | 5.55047i | −0.868066 | + | 0.496449i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.615790 | − | 0.615790i | 0.0546426 | − | 0.0546426i | −0.679257 | − | 0.733900i | \(-0.737698\pi\) |
0.733900 | + | 0.679257i | \(0.237698\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 21.4180i | 1.88575i | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −9.55413 | + | 9.55413i | −0.834748 | + | 0.834748i | −0.988162 | − | 0.153414i | \(-0.950973\pi\) |
0.153414 | + | 0.988162i | \(0.450973\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 3.71253i | − | 0.321917i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 10.5633 | − | 8.83914i | 0.909147 | − | 0.760752i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.70277 | + | 3.70277i | −0.316349 | + | 0.316349i | −0.847363 | − | 0.531014i | \(-0.821811\pi\) |
0.531014 | + | 0.847363i | \(0.321811\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.46761 | + | 5.46761i | −0.463756 | + | 0.463756i | −0.899885 | − | 0.436128i | \(-0.856349\pi\) |
0.436128 | + | 0.899885i | \(0.356349\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.8260 | + | 11.8260i | 0.995925 | + | 0.995925i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.22783 | + | 2.22783i | 0.186300 | + | 0.186300i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.0931 | − | 1.07465i | −1.00428 | − | 0.0892450i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 18.7892 | 1.54971 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 4.21561 | + | 4.21561i | 0.345356 | + | 0.345356i | 0.858376 | − | 0.513021i | \(-0.171474\pi\) |
−0.513021 | + | 0.858376i | \(0.671474\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.4417 | −1.01249 | −0.506244 | − | 0.862390i | \(-0.668966\pi\) | ||||
−0.506244 | + | 0.862390i | \(0.668966\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 16.1316 | + | 16.1316i | 1.30416 | + | 1.30416i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.239997 | − | 0.200824i | 0.0192771 | − | 0.0161306i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.50500i | 0.598964i | 0.954102 | + | 0.299482i | \(0.0968138\pi\) | ||||
−0.954102 | + | 0.299482i | \(0.903186\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 7.87609 | 0.624615 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.65807 | 0.130675 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 23.7284i | − | 1.85855i | −0.369383 | − | 0.929277i | \(-0.620431\pi\) | ||
0.369383 | − | 0.929277i | \(-0.379569\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −4.43291 | − | 0.393929i | −0.345102 | − | 0.0306673i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.402976 | + | 0.402976i | 0.0311832 | + | 0.0311832i | 0.722526 | − | 0.691343i | \(-0.242981\pi\) |
−0.691343 | + | 0.722526i | \(0.742981\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.44028 | 0.572330 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 20.8596 | + | 20.8596i | 1.59517 | + | 1.59517i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −15.4500 | −1.17464 | −0.587320 | − | 0.809355i | \(-0.699817\pi\) | ||||
−0.587320 | + | 0.809355i | \(0.699817\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.66312 | + | 1.85392i | −0.201313 | + | 0.140143i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 10.3536 | + | 10.3536i | 0.778225 | + | 0.778225i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.20444 | − | 5.20444i | −0.388998 | − | 0.388998i | 0.485332 | − | 0.874330i | \(-0.338699\pi\) |
−0.874330 | + | 0.485332i | \(0.838699\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.08925 | + | 9.08925i | −0.675599 | + | 0.675599i | −0.959001 | − | 0.283402i | \(-0.908537\pi\) |
0.283402 | + | 0.959001i | \(0.408537\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −10.6467 | + | 10.6467i | −0.787024 | + | 0.787024i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 8.38500 | + | 10.0206i | 0.616478 | + | 0.736730i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 3.08295i | − | 0.225448i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.82669 | − | 2.82669i | 0.205611 | − | 0.205611i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 15.1075i | − | 1.09314i | −0.837413 | − | 0.546571i | \(-0.815933\pi\) | ||
0.837413 | − | 0.546571i | \(-0.184067\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.19166 | − | 4.19166i | 0.301722 | − | 0.301722i | −0.539965 | − | 0.841687i | \(-0.681563\pi\) |
0.841687 | + | 0.539965i | \(0.181563\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −22.1431 | + | 18.5288i | −1.58570 | + | 1.32688i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −4.03184 | −0.287256 | −0.143628 | − | 0.989632i | \(-0.545877\pi\) | ||||
−0.143628 | + | 0.989632i | \(0.545877\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.43055i | 0.384961i | 0.981301 | + | 0.192481i | \(0.0616533\pi\) | ||||
−0.981301 | + | 0.192481i | \(0.938347\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | − | 9.50129i | − | 0.670169i | ||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −3.52363 | −0.247310 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.81385 | + | 6.53844i | −0.545743 | + | 0.456664i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −9.31622 | + | 9.31622i | −0.647522 | + | 0.647522i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 3.98653i | − | 0.275754i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.23020 | + | 3.23020i | −0.222376 | + | 0.222376i | −0.809498 | − | 0.587122i | \(-0.800261\pi\) |
0.587122 | + | 0.809498i | \(0.300261\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | − | 3.91432i | − | 0.268205i | ||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 10.7613 | + | 12.8604i | 0.733914 | + | 0.877074i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.0642220 | − | 0.0642220i | 0.00435967 | − | 0.00435967i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 7.28363 | − | 7.28363i | 0.492182 | − | 0.492182i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −14.1430 | − | 14.1430i | −0.951363 | − | 0.951363i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.17319 | + | 8.17319i | 0.547317 | + | 0.547317i | 0.925664 | − | 0.378347i | \(-0.123507\pi\) |
−0.378347 | + | 0.925664i | \(0.623507\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.54664 | − | 25.3799i | 0.303110 | − | 1.69199i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1.54068 | 0.102258 | 0.0511292 | − | 0.998692i | \(-0.483718\pi\) | ||||
0.0511292 | + | 0.998692i | \(0.483718\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.5646 | − | 17.5646i | −1.16070 | − | 1.16070i | −0.984322 | − | 0.176378i | \(-0.943562\pi\) |
−0.176378 | − | 0.984322i | \(-0.556438\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.29164 | −0.0849834 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 9.99018 | + | 9.99018i | 0.654479 | + | 0.654479i | 0.954068 | − | 0.299590i | \(-0.0968498\pi\) |
−0.299590 | + | 0.954068i | \(0.596850\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 13.0427 | + | 1.15904i | 0.850814 | + | 0.0756072i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 11.0364i | 0.716889i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −26.2762 | −1.69967 | −0.849833 | − | 0.527052i | \(-0.823297\pi\) | ||||
−0.849833 | + | 0.527052i | \(0.823297\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.113242 | −0.00729456 | −0.00364728 | − | 0.999993i | \(-0.501161\pi\) | ||||
−0.00364728 | + | 0.999993i | \(0.501161\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 12.4188i | − | 0.796665i | ||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 11.2820 | − | 9.44047i | 0.720778 | − | 0.603130i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −18.2882 | − | 18.2882i | −1.16365 | − | 1.16365i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −41.3258 | −2.61892 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −19.2220 | − | 19.2220i | −1.21328 | − | 1.21328i | −0.969941 | − | 0.243339i | \(-0.921757\pi\) |
−0.243339 | − | 0.969941i | \(-0.578243\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.78045 | 0.111936 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 28.1417 | + | 2.50080i | 1.76230 | + | 0.156606i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −0.757800 | − | 0.757800i | −0.0472703 | − | 0.0472703i | 0.683077 | − | 0.730347i | \(-0.260642\pi\) |
−0.730347 | + | 0.683077i | \(0.760642\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.68146 | + | 2.68146i | 0.166618 | + | 0.166618i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 19.7982 | − | 19.7982i | 1.22548 | − | 1.22548i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −5.73017 | + | 5.73017i | −0.353338 | + | 0.353338i | −0.861350 | − | 0.508012i | \(-0.830380\pi\) |
0.508012 | + | 0.861350i | \(0.330380\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.72919 | − | 3.95728i | 0.290512 | − | 0.243094i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 9.56795i | − | 0.585549i | ||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 9.78879 | − | 9.78879i | 0.596833 | − | 0.596833i | −0.342635 | − | 0.939468i | \(-0.611320\pi\) |
0.939468 | + | 0.342635i | \(0.111320\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 4.10159i | − | 0.249154i | −0.992210 | − | 0.124577i | \(-0.960243\pi\) | ||
0.992210 | − | 0.124577i | \(-0.0397574\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −5.92537 | + | 5.92537i | −0.358620 | + | 0.358620i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.85967 | + | 1.99075i | −0.172444 | + | 0.120046i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 24.6755 | 1.48261 | 0.741305 | − | 0.671169i | \(-0.234207\pi\) | ||||
0.741305 | + | 0.671169i | \(0.234207\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.721688i | 0.0432063i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 23.6688i | − | 1.41196i | −0.708230 | − | 0.705981i | \(-0.750506\pi\) | ||
0.708230 | − | 0.705981i | \(-0.249494\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.0492 | −0.775694 | −0.387847 | − | 0.921724i | \(-0.626781\pi\) | ||||
−0.387847 | + | 0.921724i | \(0.626781\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 36.3897 | + | 3.23375i | 2.15554 | + | 0.191551i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.09094 | + | 2.09094i | −0.123424 | + | 0.123424i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.57168i | 0.151275i | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 14.1539 | − | 14.1539i | 0.829714 | − | 0.829714i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 31.6731i | 1.85036i | 0.379526 | + | 0.925181i | \(0.376087\pi\) | ||||
−0.379526 | + | 0.925181i | \(0.623913\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.4189 | + | 1.01474i | 0.664835 | + | 0.0590802i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.03531 | − | 3.03531i | 0.176127 | − | 0.176127i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 8.16779 | − | 8.16779i | 0.472355 | − | 0.472355i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.44138 | + | 3.44138i | 0.198358 | + | 0.198358i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −5.27037 | − | 5.27037i | −0.302775 | − | 0.302775i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.04346 | + | 11.7421i | −0.0597482 | + | 0.672351i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.3597 | 1.56150 | 0.780751 | − | 0.624843i | \(-0.214837\pi\) | ||||
0.780751 | + | 0.624843i | \(0.214837\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 33.3168 | + | 33.3168i | 1.89532 | + | 1.89532i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 15.8076 | 0.896368 | 0.448184 | − | 0.893941i | \(-0.352071\pi\) | ||||
0.448184 | + | 0.893941i | \(0.352071\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.8388 | − | 13.8388i | −0.782217 | − | 0.782217i | 0.197988 | − | 0.980205i | \(-0.436559\pi\) |
−0.980205 | + | 0.197988i | \(0.936559\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.662387 | − | 7.45390i | 0.0373213 | − | 0.419980i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | − | 35.0092i | − | 1.96631i | −0.182766 | − | 0.983156i | \(-0.558505\pi\) | ||
0.182766 | − | 0.983156i | \(-0.441495\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.78369 | −0.211846 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −43.7272 | −2.44062 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 25.3079i | 1.40817i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.98617 | + | 22.2512i | −0.221113 | + | 1.23428i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 35.6424 | + | 35.6424i | 1.97103 | + | 1.97103i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.80032 | 0.209518 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −16.8212 | − | 16.8212i | −0.924578 | − | 0.924578i | 0.0727709 | − | 0.997349i | \(-0.476816\pi\) |
−0.997349 | + | 0.0727709i | \(0.976816\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −30.1326 | −1.65126 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −4.77384 | − | 5.70504i | −0.260823 | − | 0.311700i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.4984 | + | 14.4984i | 0.789777 | + | 0.789777i | 0.981457 | − | 0.191680i | \(-0.0613937\pi\) |
−0.191680 | + | 0.981457i | \(0.561394\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 7.24160 | + | 7.24160i | 0.393310 | + | 0.393310i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.0689618 | − | 0.0689618i | 0.00373449 | − | 0.00373449i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.23125 | − | 6.23125i | 0.336456 | − | 0.336456i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.44424 | + | 16.2522i | −0.0777555 | + | 0.874989i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 16.7705i | 0.900286i | 0.892956 | + | 0.450143i | \(0.148627\pi\) | ||||
−0.892956 | + | 0.450143i | \(0.851373\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.86337 | − | 1.86337i | 0.0997439 | − | 0.0997439i | −0.655474 | − | 0.755218i | \(-0.727531\pi\) |
0.755218 | + | 0.655474i | \(0.227531\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 27.8489i | − | 1.48647i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 24.1362 | − | 24.1362i | 1.28464 | − | 1.28464i | 0.346642 | − | 0.937998i | \(-0.387322\pi\) |
0.937998 | − | 0.346642i | \(-0.112678\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.96672 | − | 2.35035i | −0.104382 | − | 0.124744i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 8.19976 | 0.433978 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 12.2500i | − | 0.646532i | −0.946308 | − | 0.323266i | \(-0.895219\pi\) | ||
0.946308 | − | 0.323266i | \(-0.104781\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.7253i | 0.722386i | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 30.0291 | 1.57612 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.713853 | − | 8.03305i | 0.0373648 | − | 0.420469i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.71307 | + | 2.71307i | −0.141621 | + | 0.141621i | −0.774363 | − | 0.632742i | \(-0.781929\pi\) |
0.632742 | + | 0.774363i | \(0.281929\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 23.4967i | − | 1.22319i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.26551 | − | 1.26551i | 0.0657018 | − | 0.0657018i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 16.4846i | − | 0.853541i | −0.904360 | − | 0.426771i | \(-0.859651\pi\) | ||
0.904360 | − | 0.426771i | \(-0.140349\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −15.8522 | − | 27.7183i | −0.818603 | − | 1.43137i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −17.3576 | + | 17.3576i | −0.893964 | + | 0.893964i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.7716 | − | 13.7716i | 0.707401 | − | 0.707401i | −0.258587 | − | 0.965988i | \(-0.583257\pi\) |
0.965988 | + | 0.258587i | \(0.0832568\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.75870 | + | 1.75870i | 0.0901011 | + | 0.0901011i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −11.5530 | − | 11.5530i | −0.590332 | − | 0.590332i | 0.347389 | − | 0.937721i | \(-0.387068\pi\) |
−0.937721 | + | 0.347389i | \(0.887068\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.775562 | + | 0.648972i | −0.0395263 | + | 0.0330747i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −38.6722 | −1.96582 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −15.7728 | − | 15.7728i | −0.799712 | − | 0.799712i | 0.183338 | − | 0.983050i | \(-0.441310\pi\) |
−0.983050 | + | 0.183338i | \(0.941310\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.3029 | −0.571612 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −27.2867 | − | 27.2867i | −1.37643 | − | 1.37643i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.54512 | + | 6.62677i | 0.279006 | + | 0.333429i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 29.9558i | 1.50344i | 0.659483 | + | 0.751720i | \(0.270775\pi\) | ||||
−0.659483 | + | 0.751720i | \(0.729225\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 10.6030 | 0.530815 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 19.9241 | 0.994963 | 0.497481 | − | 0.867475i | \(-0.334258\pi\) | ||||
0.497481 | + | 0.867475i | \(0.334258\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | − | 0.632724i | − | 0.0315182i | ||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3.04508 | + | 3.63906i | 0.151311 | + | 0.180826i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.87936 | + | 2.87936i | 0.142725 | + | 0.142725i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.89856 | 0.291665 | 0.145832 | − | 0.989309i | \(-0.453414\pi\) | ||||
0.145832 | + | 0.989309i | \(0.453414\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −10.5751 | − | 10.5751i | −0.521634 | − | 0.521634i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.32717 | 0.163720 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −24.8141 | + | 20.7638i | −1.21808 | + | 1.01926i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −15.6155 | − | 15.6155i | −0.764696 | − | 0.764696i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −8.24430 | − | 8.24430i | −0.402760 | − | 0.402760i | 0.476444 | − | 0.879205i | \(-0.341925\pi\) |
−0.879205 | + | 0.476444i | \(0.841925\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.1776 | + | 17.1776i | −0.837184 | + | 0.837184i | −0.988487 | − | 0.151304i | \(-0.951653\pi\) |
0.151304 | + | 0.988487i | \(0.451653\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −21.3528 | + | 21.3528i | −1.03821 | + | 1.03821i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 18.1542 | − | 12.6380i | 0.880607 | − | 0.613031i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.42135i | 0.165571i | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −6.36269 | + | 6.36269i | −0.307194 | + | 0.307194i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 32.1769i | 1.54990i | 0.632020 | + | 0.774952i | \(0.282226\pi\) | ||||
−0.632020 | + | 0.774952i | \(0.717774\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −20.3383 | + | 20.3383i | −0.977396 | + | 0.977396i | −0.999750 | − | 0.0223540i | \(-0.992884\pi\) |
0.0223540 | + | 0.999750i | \(0.492884\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.06921 | − | 34.5381i | 0.147158 | − | 1.65598i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −14.6156 | −0.699161 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 35.4180i | 1.69041i | 0.534444 | + | 0.845204i | \(0.320521\pi\) | ||||
−0.534444 | + | 0.845204i | \(0.679479\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 33.9256i | 1.61550i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 3.03787 | 0.144333 | 0.0721667 | − | 0.997393i | \(-0.477009\pi\) | ||||
0.0721667 | + | 0.997393i | \(0.477009\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.80733 | − | 5.74507i | −0.227890 | − | 0.272342i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −12.0398 | + | 12.0398i | −0.569463 | + | 0.569463i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 8.65559i | − | 0.408483i | −0.978921 | − | 0.204241i | \(-0.934527\pi\) | ||
0.978921 | − | 0.204241i | \(-0.0654727\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.24526 | + | 2.24526i | −0.105725 | + | 0.105725i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | − | 35.5335i | − | 1.66951i | ||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.580733 | + | 6.53504i | −0.0272252 | + | 0.306367i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.5575 | + | 13.5575i | −0.634193 | + | 0.634193i | −0.949117 | − | 0.314924i | \(-0.898021\pi\) |
0.314924 | + | 0.949117i | \(0.398021\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −19.2692 | + | 19.2692i | −0.899411 | + | 0.899411i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.19682 | − | 1.19682i | −0.0557416 | − | 0.0557416i | 0.678687 | − | 0.734428i | \(-0.262550\pi\) |
−0.734428 | + | 0.678687i | \(0.762550\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.1815 | + | 21.1815i | 0.984390 | + | 0.984390i | 0.999880 | − | 0.0154904i | \(-0.00493096\pi\) |
−0.0154904 | + | 0.999880i | \(0.504931\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.573555 | + | 0.685435i | 0.0265980 | + | 0.0317863i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −24.8448 | −1.14968 | −0.574840 | − | 0.818266i | \(-0.694936\pi\) | ||||
−0.574840 | + | 0.818266i | \(0.694936\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.52664 | − | 1.52664i | −0.0704936 | − | 0.0704936i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −21.4343 | −0.987642 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.69537 | + | 3.69537i | 0.169913 | + | 0.169913i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 23.4749 | − | 16.3420i | 1.07710 | − | 0.749822i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 14.2210i | 0.651135i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 23.5766 | 1.07724 | 0.538621 | − | 0.842548i | \(-0.318946\pi\) | ||||
0.538621 | + | 0.842548i | \(0.318946\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 26.4181 | 1.20456 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 4.73547i | 0.215471i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.38719 | − | 15.6102i | 0.0629891 | − | 0.708821i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.63011 | + | 2.63011i | 0.119182 | + | 0.119182i | 0.764182 | − | 0.645001i | \(-0.223143\pi\) |
−0.645001 | + | 0.764182i | \(0.723143\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 67.7686 | 3.06460 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 18.6899 | + | 18.6899i | 0.843465 | + | 0.843465i | 0.989308 | − | 0.145843i | \(-0.0465894\pi\) |
−0.145843 | + | 0.989308i | \(0.546589\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 24.0202 | 1.08182 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.711274 | − | 8.00403i | 0.0319694 | − | 0.359754i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.628940 | − | 0.628940i | −0.0282118 | − | 0.0282118i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.69342 | + | 9.69342i | 0.433937 | + | 0.433937i | 0.889965 | − | 0.456028i | \(-0.150728\pi\) |
−0.456028 | + | 0.889965i | \(0.650728\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.15090 | + | 1.15090i | −0.0514185 | + | 0.0514185i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 13.0434 | − | 13.0434i | 0.581577 | − | 0.581577i | −0.353759 | − | 0.935336i | \(-0.615097\pi\) |
0.935336 | + | 0.353759i | \(0.115097\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.81265 | − | 0.516538i | −0.258659 | − | 0.0229856i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 21.2495i | 0.943724i | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −25.8539 | + | 25.8539i | −1.14595 | + | 1.14595i | −0.158611 | + | 0.987341i | \(0.550702\pi\) |
−0.987341 | + | 0.158611i | \(0.949298\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 2.34062i | − | 0.103543i | ||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −24.9168 | + | 24.9168i | −1.10010 | + | 1.10010i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 36.7448 | + | 3.26531i | 1.61917 | + | 0.143887i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.08080 | 0.179473 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 44.1252i | − | 1.93688i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 25.0528i | 1.09758i | 0.835959 | + | 0.548792i | \(0.184912\pi\) | ||||
−0.835959 | + | 0.548792i | \(0.815088\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −40.3434 | −1.76410 | −0.882048 | − | 0.471160i | \(-0.843835\pi\) | ||||
−0.882048 | + | 0.471160i | \(0.843835\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −5.29481 | − | 7.60588i | −0.231084 | − | 0.331948i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.437794 | + | 0.437794i | −0.0190706 | + | 0.0190706i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 16.4724i | 0.716192i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −18.6944 | + | 18.6944i | −0.811267 | + | 0.811267i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 20.6003i | 0.892296i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −26.2560 | + | 21.9704i | −1.13515 | + | 0.949862i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 14.8639 | − | 14.8639i | 0.641425 | − | 0.641425i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 3.24180 | − | 3.24180i | 0.139634 | − | 0.139634i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.7446 | − | 24.7446i | −1.06385 | − | 1.06385i | −0.997817 | − | 0.0660360i | \(-0.978965\pi\) |
−0.0660360 | − | 0.997817i | \(-0.521035\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −25.9590 | − | 25.9590i | −1.11401 | − | 1.11401i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 39.3097 | + | 3.49324i | 1.68384 | + | 0.149634i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −19.0254 | −0.813465 | −0.406733 | − | 0.913547i | \(-0.633332\pi\) | ||||
−0.406733 | + | 0.913547i | \(0.633332\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −19.2235 | − | 19.2235i | −0.820440 | − | 0.820440i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 31.0602 | 1.32321 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.77329 | + | 1.77329i | 0.0754079 | + | 0.0754079i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −28.6189 | + | 23.9476i | −1.21481 | + | 1.01652i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 30.9517i | 1.31146i | 0.754993 | + | 0.655732i | \(0.227640\pi\) | ||||
−0.754993 | + | 0.655732i | \(0.772360\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 33.9050 | 1.43403 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.80494 | 0.371745 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 3.50238i | 0.147608i | 0.997273 | + | 0.0738039i | \(0.0235139\pi\) | ||||
−0.997273 | + | 0.0738039i | \(0.976486\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.98670 | + | 0.709734i | 0.336003 | + | 0.0298587i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.973793 | + | 0.973793i | 0.0408955 | + | 0.0408955i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −0.525780 | −0.0220418 | −0.0110209 | − | 0.999939i | \(-0.503508\pi\) | ||||
−0.0110209 | + | 0.999939i | \(0.503508\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 11.2487 | + | 11.2487i | 0.470743 | + | 0.470743i | 0.902155 | − | 0.431412i | \(-0.141984\pi\) |
−0.431412 | + | 0.902155i | \(0.641984\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 43.1472 | 1.80250 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 7.29859 | + | 10.4843i | 0.304372 | + | 0.437224i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.92884 | − | 2.92884i | −0.121929 | − | 0.121929i | 0.643509 | − | 0.765438i | \(-0.277478\pi\) |
−0.765438 | + | 0.643509i | \(0.777478\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 11.9714 | + | 11.9714i | 0.497515 | + | 0.497515i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.64011 | + | 6.64011i | −0.275478 | + | 0.275478i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.35891 | − | 1.35891i | 0.0562801 | − | 0.0562801i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −33.4555 | − | 39.9814i | −1.38321 | − | 1.65303i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | − | 23.1574i | − | 0.955809i | −0.878412 | − | 0.477905i | \(-0.841396\pi\) | ||
0.878412 | − | 0.477905i | \(-0.158604\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.566106 | + | 0.566106i | −0.0233260 | + | 0.0233260i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 11.5150i | − | 0.473662i | ||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −13.9325 | + | 13.9325i | −0.572141 | + | 0.572141i | −0.932726 | − | 0.360585i | \(-0.882577\pi\) |
0.360585 | + | 0.932726i | \(0.382577\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.92354 | − | 4.11990i | 0.201846 | − | 0.168900i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −15.5097 | −0.634769 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 33.5311i | − | 1.37004i | −0.728523 | − | 0.685021i | \(-0.759793\pi\) | ||
0.728523 | − | 0.685021i | \(-0.240207\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 19.4164i | − | 0.792011i | −0.918248 | − | 0.396005i | \(-0.870396\pi\) | ||
0.918248 | − | 0.396005i | \(-0.129604\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 17.1554 | 0.698623 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 18.0310 | − | 15.0879i | 0.733063 | − | 0.613409i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.51495 | − | 9.51495i | 0.386200 | − | 0.386200i | −0.487130 | − | 0.873330i | \(-0.661956\pi\) |
0.873330 | + | 0.487130i | \(0.161956\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | − | 10.0635i | − | 0.407794i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 18.7206 | − | 18.7206i | 0.757355 | − | 0.757355i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.37947i | 0.378833i | 0.981897 | + | 0.189417i | \(0.0606597\pi\) | ||||
−0.981897 | + | 0.189417i | \(0.939340\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −18.6738 | − | 22.3164i | −0.753002 | − | 0.899884i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −3.54768 | + | 3.54768i | −0.142824 | + | 0.142824i | −0.774904 | − | 0.632079i | \(-0.782202\pi\) |
0.632079 | + | 0.774904i | \(0.282202\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −24.6158 | + | 24.6158i | −0.989392 | + | 0.989392i | −0.999944 | − | 0.0105527i | \(-0.996641\pi\) |
0.0105527 | + | 0.999944i | \(0.496641\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −11.1282 | − | 11.1282i | −0.446561 | − | 0.446561i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.53735 | − | 1.53735i | −0.0615926 | − | 0.0615926i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.4453 | − | 8.67867i | −0.937811 | − | 0.347147i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 11.3856 | 0.454695 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −18.2792 | − | 18.2792i | −0.728840 | − | 0.728840i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 28.8921 | 1.15018 | 0.575088 | − | 0.818092i | \(-0.304968\pi\) | ||||
0.575088 | + | 0.818092i | \(0.304968\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −9.22547 | − | 9.22547i | −0.366679 | − | 0.366679i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.93966 | + | 0.172367i | 0.0769729 | + | 0.00684016i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 29.7435i | − | 1.17848i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 7.06765 | 0.279592 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −16.6914 | −0.659271 | −0.329636 | − | 0.944108i | \(-0.606926\pi\) | ||||
−0.329636 | + | 0.944108i | \(0.606926\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 5.22468i | − | 0.206041i | −0.994679 | − | 0.103021i | \(-0.967149\pi\) | ||
0.994679 | − | 0.103021i | \(-0.0328507\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −36.7295 | + | 30.7343i | −1.44622 | + | 1.21016i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −21.6797 | − | 21.6797i | −0.852318 | − | 0.852318i | 0.138100 | − | 0.990418i | \(-0.455900\pi\) |
−0.990418 | + | 0.138100i | \(0.955900\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.57273 | 0.140242 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.183418 | + | 0.183418i | 0.00718874 | + | 0.00718874i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 22.7642 | 0.890833 | 0.445417 | − | 0.895323i | \(-0.353056\pi\) | ||||
0.445417 | + | 0.895323i | \(0.353056\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −30.0942 | − | 2.67431i | −1.17588 | − | 0.104494i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 13.1513 | + | 13.1513i | 0.513079 | + | 0.513079i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.66201 | + | 1.66201i | 0.0647427 | + | 0.0647427i | 0.738737 | − | 0.673994i | \(-0.235423\pi\) |
−0.673994 | + | 0.738737i | \(0.735423\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.62818 | + | 5.62818i | −0.218911 | + | 0.218911i | −0.808039 | − | 0.589129i | \(-0.799471\pi\) |
0.589129 | + | 0.808039i | \(0.299471\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 40.3926 | − | 40.3926i | 1.56872 | − | 1.56872i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 6.36657 | − | 5.32739i | 0.246885 | − | 0.206587i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 13.8720i | 0.537125i | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −23.3427 | + | 23.3427i | −0.902481 | + | 0.902481i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.67386i | 0.141828i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.278251 | − | 0.278251i | 0.0107258 | − | 0.0107258i | −0.701724 | − | 0.712449i | \(-0.747586\pi\) |
0.712449 | + | 0.701724i | \(0.247586\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 30.3163 | + | 5.43097i | 1.16687 | + | 0.209038i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 26.3591 | 1.01306 | 0.506531 | − | 0.862222i | \(-0.330928\pi\) | ||||
0.506531 | + | 0.862222i | \(0.330928\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 4.54840i | − | 0.174551i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 4.40019i | 0.168616i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.83023 | 0.108296 | 0.0541479 | − | 0.998533i | \(-0.482756\pi\) | ||||
0.0541479 | + | 0.998533i | \(0.482756\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −11.6632 | − | 1.03645i | −0.445629 | − | 0.0396006i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 50.1646 | − | 50.1646i | 1.91390 | − | 1.91390i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 12.4679i | − | 0.474991i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.1815 | + | 22.1815i | −0.843825 | + | 0.843825i | −0.989354 | − | 0.145529i | \(-0.953512\pi\) |
0.145529 | + | 0.989354i | \(0.453512\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | − | 2.33217i | − | 0.0885917i | ||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −17.2222 | − | 1.53044i | −0.653276 | − | 0.0580531i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14.2537 | − | 14.2537i | 0.539898 | − | 0.539898i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −28.5320 | + | 28.5320i | −1.07918 | + | 1.07918i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 16.2264 | + | 16.2264i | 0.612864 | + | 0.612864i | 0.943691 | − | 0.330828i | \(-0.107328\pi\) |
−0.330828 | + | 0.943691i | \(0.607328\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −23.6366 | − | 23.6366i | −0.891472 | − | 0.891472i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −3.31022 | + | 37.2502i | −0.124670 | + | 1.40292i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1.69365 | −0.0636965 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 25.3577 | + | 25.3577i | 0.952329 | + | 0.952329i | 0.998914 | − | 0.0465856i | \(-0.0148340\pi\) |
−0.0465856 | + | 0.998914i | \(0.514834\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −19.9271 | −0.747326 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.252832 | − | 0.252832i | −0.00946863 | − | 0.00946863i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.623594 | + | 7.01735i | −0.0233211 | + | 0.262434i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | − | 75.0450i | − | 2.80261i | ||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −41.3374 | −1.54163 | −0.770813 | − | 0.637061i | \(-0.780150\pi\) | ||||
−0.770813 | + | 0.637061i | \(0.780150\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 10.7065 | 0.398730 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 0.323420i | − | 0.0120281i | ||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −15.5105 | − | 22.2805i | −0.576045 | − | 0.827477i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 23.4630 | + | 23.4630i | 0.870193 | + | 0.870193i | 0.992493 | − | 0.122300i | \(-0.0390271\pi\) |
−0.122300 | + | 0.992493i | \(0.539027\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 41.8342 | 1.54942 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −23.4595 | − | 23.4595i | −0.867681 | − | 0.867681i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −15.1628 | −0.560051 | −0.280025 | − | 0.959993i | \(-0.590343\pi\) | ||||
−0.280025 | + | 0.959993i | \(0.590343\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 26.9621 | + | 32.2214i | 0.994511 | + | 1.18850i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.63931 | − | 1.63931i | −0.0603848 | − | 0.0603848i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.974343 | + | 0.974343i | 0.0358418 | + | 0.0358418i | 0.724801 | − | 0.688959i | \(-0.241932\pi\) |
−0.688959 | + | 0.724801i | \(0.741932\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 52.2312 | − | 52.2312i | 1.91876 | − | 1.91876i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −29.0897 | + | 29.0897i | −1.06720 | + | 1.06720i | −0.0696259 | + | 0.997573i | \(0.522181\pi\) |
−0.997573 | + | 0.0696259i | \(0.977819\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.18000 | + | 13.2786i | −0.0432317 | + | 0.486490i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | − | 74.6176i | − | 2.73011i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −7.02596 | + | 7.02596i | −0.256723 | + | 0.256723i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.77705i | 0.283789i | 0.989882 | + | 0.141894i | \(0.0453193\pi\) | ||||
−0.989882 | + | 0.141894i | \(0.954681\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 54.8981 | − | 54.8981i | 2.00060 | − | 2.00060i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −17.8535 | − | 21.3361i | −0.649755 | − | 0.776498i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.42073 | 0.0516372 | 0.0258186 | − | 0.999667i | \(-0.491781\pi\) | ||||
0.0258186 | + | 0.999667i | \(0.491781\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 5.08497i | 0.184573i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 26.6737i | − | 0.966921i | −0.875366 | − | 0.483460i | \(-0.839380\pi\) | ||
0.875366 | − | 0.483460i | \(-0.160620\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 11.4538 | 0.414656 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −4.51542 | + | 50.8124i | −0.163255 | + | 1.83713i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 16.3899 | − | 16.3899i | 0.591805 | − | 0.591805i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 45.8210i | 1.65235i | 0.563415 | + | 0.826174i | \(0.309487\pi\) | ||||
−0.563415 | + | 0.826174i | \(0.690513\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.16428 | − | 2.16428i | 0.0779447 | − | 0.0779447i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 18.5473i | 0.667101i | 0.942732 | + | 0.333550i | \(0.108247\pi\) | ||||
−0.942732 | + | 0.333550i | \(0.891753\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.688782 | + | 0.123391i | 0.0247418 | + | 0.00443233i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −7.65827 | + | 7.65827i | −0.274739 | + | 0.274739i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 18.4313 | − | 18.4313i | 0.660370 | − | 0.660370i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.675359 | − | 0.675359i | −0.0241662 | − | 0.0241662i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 23.6490 | + | 23.6490i | 0.845146 | + | 0.845146i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −12.8702 | + | 10.7695i | −0.459358 | + | 0.384380i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 21.3016 | 0.759319 | 0.379659 | − | 0.925126i | \(-0.376041\pi\) | ||||
0.379659 | + | 0.925126i | \(0.376041\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −16.3654 | − | 16.3654i | −0.582624 | − | 0.582624i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.32712 | 0.0827427 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 16.8538 | + | 16.8538i | 0.598496 | + | 0.598496i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 11.3020 | + | 13.5066i | 0.400841 | + | 0.479030i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 2.35457i | − | 0.0834033i | −0.999130 | − | 0.0417016i | \(-0.986722\pi\) | ||
0.999130 | − | 0.0417016i | \(-0.0132779\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −25.9063 | −0.916500 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 17.2758 | 0.610410 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | − | 2.51337i | − | 0.0886949i | ||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.37930 | + | 2.84341i | 0.0838592 | + | 0.100217i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 27.9569 | + | 27.9569i | 0.984128 | + | 0.984128i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −23.9476 | −0.841952 | −0.420976 | − | 0.907072i | \(-0.638312\pi\) | ||||
−0.420976 | + | 0.907072i | \(0.638312\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.33006 | + | 1.33006i | 0.0467048 | + | 0.0467048i | 0.730073 | − | 0.683369i | \(-0.239486\pi\) |
−0.683369 | + | 0.730073i | \(0.739486\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 11.7142 | 0.410834 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 40.6916 | − | 34.0498i | 1.42537 | − | 1.19271i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −30.3352 | − | 30.3352i | −1.06129 | − | 1.06129i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −10.6988 | − | 10.6988i | −0.373846 | − | 0.373846i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 36.4676 | − | 36.4676i | 1.27273 | − | 1.27273i | 0.328076 | − | 0.944651i | \(-0.393600\pi\) |
0.944651 | − | 0.328076i | \(-0.106400\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −26.3978 | + | 26.3978i | −0.920170 | + | 0.920170i | −0.997041 | − | 0.0768712i | \(-0.975507\pi\) |
0.0768712 | + | 0.997041i | \(0.475507\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −5.68559 | − | 8.16723i | −0.197947 | − | 0.284346i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1.99830i | 0.0694878i | 0.999396 | + | 0.0347439i | \(0.0110616\pi\) | ||||
−0.999396 | + | 0.0347439i | \(0.988938\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.0376 | + | 13.0376i | −0.452813 | + | 0.452813i | −0.896287 | − | 0.443474i | \(-0.853746\pi\) |
0.443474 | + | 0.896287i | \(0.353746\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 70.4735i | 2.44470i | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −20.5801 | + | 20.5801i | −0.713059 | + | 0.713059i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.112797 | + | 1.26932i | −0.00390352 | + | 0.0439266i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.862057 | −0.0297971 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 15.4102i | 0.532018i | 0.963971 | + | 0.266009i | \(0.0857050\pi\) | ||||
−0.963971 | + | 0.266009i | \(0.914295\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | − | 0.479815i | − | 0.0165453i | ||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 67.5983 | 2.32821 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 10.6766 | + | 12.7593i | 0.367287 | + | 0.438932i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.82499 | − | 4.82499i | 0.165789 | − | 0.165789i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 37.2686i | − | 1.27906i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 10.5565 | − | 10.5565i | 0.361872 | − | 0.361872i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 7.96419i | − | 0.272689i | −0.990662 | − | 0.136344i | \(-0.956465\pi\) | ||
0.990662 | − | 0.136344i | \(-0.0435353\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −5.83883 | + | 65.7049i | −0.199684 | + | 2.24706i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 5.35407 | − | 5.35407i | 0.182891 | − | 0.182891i | −0.609723 | − | 0.792615i | \(-0.708719\pi\) |
0.792615 | + | 0.609723i | \(0.208719\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −35.0058 | + | 35.0058i | −1.19438 | + | 1.19438i | −0.218559 | + | 0.975824i | \(0.570136\pi\) |
−0.975824 | + | 0.218559i | \(0.929864\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −5.97175 | − | 5.97175i | −0.203517 | − | 0.203517i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 36.7138 | + | 36.7138i | 1.24975 | + | 1.24975i | 0.955829 | + | 0.293923i | \(0.0949610\pi\) |
0.293923 | + | 0.955829i | \(0.405039\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −22.1703 | − | 26.4950i | −0.753814 | − | 0.900856i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −7.34475 | −0.249441 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.90416 | + | 1.90416i | 0.0645943 | + | 0.0645943i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −15.0406 | −0.509633 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 25.5561 | + | 25.5561i | 0.864942 | + | 0.864942i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −7.00078 | − | 1.90662i | −0.236669 | − | 0.0644555i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | − | 14.3410i | − | 0.484262i | −0.970244 | − | 0.242131i | \(-0.922154\pi\) | ||
0.970244 | − | 0.242131i | \(-0.0778463\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −90.4586 | −3.05109 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −13.6397 | −0.459533 | −0.229767 | − | 0.973246i | \(-0.573796\pi\) | ||||
−0.229767 | + | 0.973246i | \(0.573796\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 6.12563i | 0.206144i | 0.994674 | + | 0.103072i | \(0.0328672\pi\) | ||||
−0.994674 | + | 0.103072i | \(0.967133\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −2.89809 | + | 32.6125i | −0.0974184 | + | 1.09626i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −25.5187 | − | 25.5187i | −0.856834 | − | 0.856834i | 0.134130 | − | 0.990964i | \(-0.457176\pi\) |
−0.990964 | + | 0.134130i | \(0.957176\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.565166 | 0.0189551 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.04566 | + | 1.04566i | 0.0350310 | + | 0.0350310i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −33.4992 | −1.12101 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.45678 | − | 16.3933i | 0.0486948 | − | 0.547967i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 23.3273 | + | 23.3273i | 0.778875 | + | 0.778875i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.537302 | + | 0.537302i | 0.0179200 | + | 0.0179200i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.62682 | + | 8.62682i | −0.287401 | + | 0.287401i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −9.82861 | + | 9.82861i | −0.327076 | + | 0.327076i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −28.6299 | − | 2.54418i | −0.951691 | − | 0.0845715i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 32.1815i | − | 1.06857i | −0.845305 | − | 0.534284i | \(-0.820581\pi\) | ||
0.845305 | − | 0.534284i | \(-0.179419\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 9.51614 | − | 9.51614i | 0.315630 | − | 0.315630i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 38.6282i | − | 1.27981i | −0.768455 | − | 0.639904i | \(-0.778974\pi\) | ||
0.768455 | − | 0.639904i | \(-0.221026\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.13018 | + | 7.13018i | −0.235974 | + | 0.235974i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −33.5356 | − | 2.98012i | −1.10865 | − | 0.0985198i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −8.76867 | −0.289567 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 19.1924i | − | 0.633099i | −0.948576 | − | 0.316550i | \(-0.897476\pi\) | ||
0.948576 | − | 0.316550i | \(-0.102524\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 78.1395i | 2.57479i | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −6.19641 | −0.203957 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.15194 | + | 28.7587i | −0.169395 | + | 0.945580i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −60.1564 | + | 60.1564i | −1.97580 | + | 1.97580i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | − | 16.8576i | − | 0.553081i | −0.961002 | − | 0.276541i | \(-0.910812\pi\) | ||
0.961002 | − | 0.276541i | \(-0.0891880\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −26.6119 | + | 26.6119i | −0.872170 | + | 0.872170i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 45.1467i | 1.47804i | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 5.28692 | − | 4.42397i | 0.172901 | − | 0.144679i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −23.9511 | + | 23.9511i | −0.782449 | + | 0.782449i | −0.980243 | − | 0.197795i | \(-0.936622\pi\) |
0.197795 | + | 0.980243i | \(0.436622\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 39.5238 | − | 39.5238i | 1.28981 | − | 1.28981i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.2496 | + | 14.2496i | 0.464525 | + | 0.464525i | 0.900135 | − | 0.435610i | \(-0.143467\pi\) |
−0.435610 | + | 0.900135i | \(0.643467\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 8.23171 | + | 8.23171i | 0.268061 | + | 0.268061i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 8.90369 | + | 0.791222i | 0.289637 | + | 0.0257385i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −20.2943 | −0.659477 | −0.329738 | − | 0.944072i | \(-0.606961\pi\) | ||||
−0.329738 | + | 0.944072i | \(0.606961\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −11.5301 | − | 11.5301i | −0.374282 | − | 0.374282i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 99.9866 | 3.24229 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −10.9257 | − | 10.9257i | −0.353919 | − | 0.353919i | 0.507647 | − | 0.861565i | \(-0.330516\pi\) |
−0.861565 | + | 0.507647i | \(0.830516\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 25.9077 | − | 21.6789i | 0.838353 | − | 0.701514i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | − | 10.8062i | − | 0.349316i | ||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −3.39836 | −0.109739 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.9804 | 0.999368 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 78.9535i | − | 2.54424i | ||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 13.2032 | + | 1.17329i | 0.425025 | + | 0.0377696i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.7569 | − | 10.7569i | −0.345918 | − | 0.345918i | 0.512669 | − | 0.858586i | \(-0.328657\pi\) |
−0.858586 | + | 0.512669i | \(0.828657\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −72.2796 | −2.32195 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 18.7456 | + | 18.7456i | 0.601574 | + | 0.601574i | 0.940730 | − | 0.339156i | \(-0.110142\pi\) |
−0.339156 | + | 0.940730i | \(0.610142\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −5.01811 | −0.160873 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −63.5497 | − | 11.3845i | −2.03522 | − | 0.364597i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −26.3906 | − | 26.3906i | −0.844309 | − | 0.844309i | 0.145107 | − | 0.989416i | \(-0.453647\pi\) |
−0.989416 | + | 0.145107i | \(0.953647\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.65081 | − | 1.65081i | −0.0527602 | − | 0.0527602i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −64.3556 | + | 64.3556i | −2.05472 | + | 2.05472i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 4.87875 | − | 4.87875i | 0.155608 | − | 0.155608i | −0.625009 | − | 0.780617i | \(-0.714905\pi\) |
0.780617 | + | 0.625009i | \(0.214905\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.78559 | − | 6.91415i | −0.184344 | − | 0.220303i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 10.8537i | 0.345478i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 13.5482 | − | 13.5482i | 0.430807 | − | 0.430807i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 61.2103i | − | 1.94441i | −0.234130 | − | 0.972205i | \(-0.575224\pi\) | ||
0.234130 | − | 0.972205i | \(-0.424776\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 48.0415 | − | 48.0415i | 1.52455 | − | 1.52455i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −9.31279 | + | 7.79271i | −0.295235 | + | 0.247046i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 39.1082 | 1.23857 | 0.619284 | − | 0.785167i | \(-0.287423\pi\) | ||||
0.619284 | + | 0.785167i | \(0.287423\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | − | 35.9935i | − | 1.13878i |
(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 | 320.2.j.b.47.9 | 18 | ||
4.3 | odd | 2 | 80.2.j.b.67.5 | yes | 18 | ||
5.2 | odd | 4 | 1600.2.s.d.943.9 | 18 | |||
5.3 | odd | 4 | 320.2.s.b.303.1 | 18 | |||
5.4 | even | 2 | 1600.2.j.d.1007.1 | 18 | |||
8.3 | odd | 2 | 640.2.j.d.607.9 | 18 | |||
8.5 | even | 2 | 640.2.j.c.607.1 | 18 | |||
12.11 | even | 2 | 720.2.bd.g.307.5 | 18 | |||
16.3 | odd | 4 | 640.2.s.c.287.9 | 18 | |||
16.5 | even | 4 | 80.2.s.b.27.1 | yes | 18 | ||
16.11 | odd | 4 | 320.2.s.b.207.1 | 18 | |||
16.13 | even | 4 | 640.2.s.d.287.1 | 18 | |||
20.3 | even | 4 | 80.2.s.b.3.1 | yes | 18 | ||
20.7 | even | 4 | 400.2.s.d.243.9 | 18 | |||
20.19 | odd | 2 | 400.2.j.d.307.5 | 18 | |||
40.3 | even | 4 | 640.2.s.d.223.1 | 18 | |||
40.13 | odd | 4 | 640.2.s.c.223.9 | 18 | |||
48.5 | odd | 4 | 720.2.z.g.667.9 | 18 | |||
60.23 | odd | 4 | 720.2.z.g.163.9 | 18 | |||
80.3 | even | 4 | 640.2.j.c.543.9 | 18 | |||
80.13 | odd | 4 | 640.2.j.d.543.1 | 18 | |||
80.27 | even | 4 | 1600.2.j.d.143.9 | 18 | |||
80.37 | odd | 4 | 400.2.j.d.43.5 | 18 | |||
80.43 | even | 4 | inner | 320.2.j.b.143.1 | 18 | ||
80.53 | odd | 4 | 80.2.j.b.43.5 | ✓ | 18 | ||
80.59 | odd | 4 | 1600.2.s.d.207.9 | 18 | |||
80.69 | even | 4 | 400.2.s.d.107.9 | 18 | |||
240.53 | even | 4 | 720.2.bd.g.523.5 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.2.j.b.43.5 | ✓ | 18 | 80.53 | odd | 4 | ||
80.2.j.b.67.5 | yes | 18 | 4.3 | odd | 2 | ||
80.2.s.b.3.1 | yes | 18 | 20.3 | even | 4 | ||
80.2.s.b.27.1 | yes | 18 | 16.5 | even | 4 | ||
320.2.j.b.47.9 | 18 | 1.1 | even | 1 | trivial | ||
320.2.j.b.143.1 | 18 | 80.43 | even | 4 | inner | ||
320.2.s.b.207.1 | 18 | 16.11 | odd | 4 | |||
320.2.s.b.303.1 | 18 | 5.3 | odd | 4 | |||
400.2.j.d.43.5 | 18 | 80.37 | odd | 4 | |||
400.2.j.d.307.5 | 18 | 20.19 | odd | 2 | |||
400.2.s.d.107.9 | 18 | 80.69 | even | 4 | |||
400.2.s.d.243.9 | 18 | 20.7 | even | 4 | |||
640.2.j.c.543.9 | 18 | 80.3 | even | 4 | |||
640.2.j.c.607.1 | 18 | 8.5 | even | 2 | |||
640.2.j.d.543.1 | 18 | 80.13 | odd | 4 | |||
640.2.j.d.607.9 | 18 | 8.3 | odd | 2 | |||
640.2.s.c.223.9 | 18 | 40.13 | odd | 4 | |||
640.2.s.c.287.9 | 18 | 16.3 | odd | 4 | |||
640.2.s.d.223.1 | 18 | 40.3 | even | 4 | |||
640.2.s.d.287.1 | 18 | 16.13 | even | 4 | |||
720.2.z.g.163.9 | 18 | 60.23 | odd | 4 | |||
720.2.z.g.667.9 | 18 | 48.5 | odd | 4 | |||
720.2.bd.g.307.5 | 18 | 12.11 | even | 2 | |||
720.2.bd.g.523.5 | 18 | 240.53 | even | 4 | |||
1600.2.j.d.143.9 | 18 | 80.27 | even | 4 | |||
1600.2.j.d.1007.1 | 18 | 5.4 | even | 2 | |||
1600.2.s.d.207.9 | 18 | 80.59 | odd | 4 | |||
1600.2.s.d.943.9 | 18 | 5.2 | odd | 4 |