Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(79,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.e (of order \(2\), degree \(1\), 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: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(i)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Root | \(-1.00000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 390.79 |
Dual form | 390.2.e.d.79.2 |
$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 2.00000 | + | 1.00000i | 0.894427 | + | 0.447214i | ||||
\(6\) | 1.00000 | 0.408248 | ||||||||
\(7\) | 4.00000i | 1.51186i | 0.654654 | + | 0.755929i | \(0.272814\pi\) | ||||
−0.654654 | + | 0.755929i | \(0.727186\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 1.00000 | − | 2.00000i | 0.316228 | − | 0.632456i | ||||
\(11\) | −6.00000 | −1.80907 | −0.904534 | − | 0.426401i | \(-0.859781\pi\) | ||||
−0.904534 | + | 0.426401i | \(0.859781\pi\) | |||||||
\(12\) | − | 1.00000i | − | 0.288675i | ||||||
\(13\) | 1.00000i | 0.277350i | ||||||||
\(14\) | 4.00000 | 1.06904 | ||||||||
\(15\) | −1.00000 | + | 2.00000i | −0.258199 | + | 0.516398i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 4.00000i | 0.970143i | 0.874475 | + | 0.485071i | \(0.161206\pi\) | ||||
−0.874475 | + | 0.485071i | \(0.838794\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | −2.00000 | −0.458831 | −0.229416 | − | 0.973329i | \(-0.573682\pi\) | ||||
−0.229416 | + | 0.973329i | \(0.573682\pi\) | |||||||
\(20\) | −2.00000 | − | 1.00000i | −0.447214 | − | 0.223607i | ||||
\(21\) | −4.00000 | −0.872872 | ||||||||
\(22\) | 6.00000i | 1.27920i | ||||||||
\(23\) | − | 6.00000i | − | 1.25109i | −0.780189 | − | 0.625543i | \(-0.784877\pi\) | ||
0.780189 | − | 0.625543i | \(-0.215123\pi\) | |||||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 3.00000 | + | 4.00000i | 0.600000 | + | 0.800000i | ||||
\(26\) | 1.00000 | 0.196116 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | − | 4.00000i | − | 0.755929i | ||||||
\(29\) | 10.0000 | 1.85695 | 0.928477 | − | 0.371391i | \(-0.121119\pi\) | ||||
0.928477 | + | 0.371391i | \(0.121119\pi\) | |||||||
\(30\) | 2.00000 | + | 1.00000i | 0.365148 | + | 0.182574i | ||||
\(31\) | 4.00000 | 0.718421 | 0.359211 | − | 0.933257i | \(-0.383046\pi\) | ||||
0.359211 | + | 0.933257i | \(0.383046\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | − | 6.00000i | − | 1.04447i | ||||||
\(34\) | 4.00000 | 0.685994 | ||||||||
\(35\) | −4.00000 | + | 8.00000i | −0.676123 | + | 1.35225i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | 6.00000i | 0.986394i | 0.869918 | + | 0.493197i | \(0.164172\pi\) | ||||
−0.869918 | + | 0.493197i | \(0.835828\pi\) | |||||||
\(38\) | 2.00000i | 0.324443i | ||||||||
\(39\) | −1.00000 | −0.160128 | ||||||||
\(40\) | −1.00000 | + | 2.00000i | −0.158114 | + | 0.316228i | ||||
\(41\) | 10.0000 | 1.56174 | 0.780869 | − | 0.624695i | \(-0.214777\pi\) | ||||
0.780869 | + | 0.624695i | \(0.214777\pi\) | |||||||
\(42\) | 4.00000i | 0.617213i | ||||||||
\(43\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(44\) | 6.00000 | 0.904534 | ||||||||
\(45\) | −2.00000 | − | 1.00000i | −0.298142 | − | 0.149071i | ||||
\(46\) | −6.00000 | −0.884652 | ||||||||
\(47\) | − | 8.00000i | − | 1.16692i | −0.812142 | − | 0.583460i | \(-0.801699\pi\) | ||
0.812142 | − | 0.583460i | \(-0.198301\pi\) | |||||||
\(48\) | 1.00000i | 0.144338i | ||||||||
\(49\) | −9.00000 | −1.28571 | ||||||||
\(50\) | 4.00000 | − | 3.00000i | 0.565685 | − | 0.424264i | ||||
\(51\) | −4.00000 | −0.560112 | ||||||||
\(52\) | − | 1.00000i | − | 0.138675i | ||||||
\(53\) | − | 6.00000i | − | 0.824163i | −0.911147 | − | 0.412082i | \(-0.864802\pi\) | ||
0.911147 | − | 0.412082i | \(-0.135198\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | −12.0000 | − | 6.00000i | −1.61808 | − | 0.809040i | ||||
\(56\) | −4.00000 | −0.534522 | ||||||||
\(57\) | − | 2.00000i | − | 0.264906i | ||||||
\(58\) | − | 10.0000i | − | 1.31306i | ||||||
\(59\) | 6.00000 | 0.781133 | 0.390567 | − | 0.920575i | \(-0.372279\pi\) | ||||
0.390567 | + | 0.920575i | \(0.372279\pi\) | |||||||
\(60\) | 1.00000 | − | 2.00000i | 0.129099 | − | 0.258199i | ||||
\(61\) | −6.00000 | −0.768221 | −0.384111 | − | 0.923287i | \(-0.625492\pi\) | ||||
−0.384111 | + | 0.923287i | \(0.625492\pi\) | |||||||
\(62\) | − | 4.00000i | − | 0.508001i | ||||||
\(63\) | − | 4.00000i | − | 0.503953i | ||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −1.00000 | + | 2.00000i | −0.124035 | + | 0.248069i | ||||
\(66\) | −6.00000 | −0.738549 | ||||||||
\(67\) | 12.0000i | 1.46603i | 0.680211 | + | 0.733017i | \(0.261888\pi\) | ||||
−0.680211 | + | 0.733017i | \(0.738112\pi\) | |||||||
\(68\) | − | 4.00000i | − | 0.485071i | ||||||
\(69\) | 6.00000 | 0.722315 | ||||||||
\(70\) | 8.00000 | + | 4.00000i | 0.956183 | + | 0.478091i | ||||
\(71\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(72\) | − | 1.00000i | − | 0.117851i | ||||||
\(73\) | 2.00000i | 0.234082i | 0.993127 | + | 0.117041i | \(0.0373409\pi\) | ||||
−0.993127 | + | 0.117041i | \(0.962659\pi\) | |||||||
\(74\) | 6.00000 | 0.697486 | ||||||||
\(75\) | −4.00000 | + | 3.00000i | −0.461880 | + | 0.346410i | ||||
\(76\) | 2.00000 | 0.229416 | ||||||||
\(77\) | − | 24.0000i | − | 2.73505i | ||||||
\(78\) | 1.00000i | 0.113228i | ||||||||
\(79\) | 8.00000 | 0.900070 | 0.450035 | − | 0.893011i | \(-0.351411\pi\) | ||||
0.450035 | + | 0.893011i | \(0.351411\pi\) | |||||||
\(80\) | 2.00000 | + | 1.00000i | 0.223607 | + | 0.111803i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 10.0000i | − | 1.10432i | ||||||
\(83\) | − | 4.00000i | − | 0.439057i | −0.975606 | − | 0.219529i | \(-0.929548\pi\) | ||
0.975606 | − | 0.219529i | \(-0.0704519\pi\) | |||||||
\(84\) | 4.00000 | 0.436436 | ||||||||
\(85\) | −4.00000 | + | 8.00000i | −0.433861 | + | 0.867722i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 10.0000i | 1.07211i | ||||||||
\(88\) | − | 6.00000i | − | 0.639602i | ||||||
\(89\) | −14.0000 | −1.48400 | −0.741999 | − | 0.670402i | \(-0.766122\pi\) | ||||
−0.741999 | + | 0.670402i | \(0.766122\pi\) | |||||||
\(90\) | −1.00000 | + | 2.00000i | −0.105409 | + | 0.210819i | ||||
\(91\) | −4.00000 | −0.419314 | ||||||||
\(92\) | 6.00000i | 0.625543i | ||||||||
\(93\) | 4.00000i | 0.414781i | ||||||||
\(94\) | −8.00000 | −0.825137 | ||||||||
\(95\) | −4.00000 | − | 2.00000i | −0.410391 | − | 0.205196i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | − | 14.0000i | − | 1.42148i | −0.703452 | − | 0.710742i | \(-0.748359\pi\) | ||
0.703452 | − | 0.710742i | \(-0.251641\pi\) | |||||||
\(98\) | 9.00000i | 0.909137i | ||||||||
\(99\) | 6.00000 | 0.603023 | ||||||||
\(100\) | −3.00000 | − | 4.00000i | −0.300000 | − | 0.400000i | ||||
\(101\) | 10.0000 | 0.995037 | 0.497519 | − | 0.867453i | \(-0.334245\pi\) | ||||
0.497519 | + | 0.867453i | \(0.334245\pi\) | |||||||
\(102\) | 4.00000i | 0.396059i | ||||||||
\(103\) | − | 2.00000i | − | 0.197066i | −0.995134 | − | 0.0985329i | \(-0.968585\pi\) | ||
0.995134 | − | 0.0985329i | \(-0.0314150\pi\) | |||||||
\(104\) | −1.00000 | −0.0980581 | ||||||||
\(105\) | −8.00000 | − | 4.00000i | −0.780720 | − | 0.390360i | ||||
\(106\) | −6.00000 | −0.582772 | ||||||||
\(107\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(108\) | 1.00000i | 0.0962250i | ||||||||
\(109\) | −4.00000 | −0.383131 | −0.191565 | − | 0.981480i | \(-0.561356\pi\) | ||||
−0.191565 | + | 0.981480i | \(0.561356\pi\) | |||||||
\(110\) | −6.00000 | + | 12.0000i | −0.572078 | + | 1.14416i | ||||
\(111\) | −6.00000 | −0.569495 | ||||||||
\(112\) | 4.00000i | 0.377964i | ||||||||
\(113\) | − | 4.00000i | − | 0.376288i | −0.982141 | − | 0.188144i | \(-0.939753\pi\) | ||
0.982141 | − | 0.188144i | \(-0.0602472\pi\) | |||||||
\(114\) | −2.00000 | −0.187317 | ||||||||
\(115\) | 6.00000 | − | 12.0000i | 0.559503 | − | 1.11901i | ||||
\(116\) | −10.0000 | −0.928477 | ||||||||
\(117\) | − | 1.00000i | − | 0.0924500i | ||||||
\(118\) | − | 6.00000i | − | 0.552345i | ||||||
\(119\) | −16.0000 | −1.46672 | ||||||||
\(120\) | −2.00000 | − | 1.00000i | −0.182574 | − | 0.0912871i | ||||
\(121\) | 25.0000 | 2.27273 | ||||||||
\(122\) | 6.00000i | 0.543214i | ||||||||
\(123\) | 10.0000i | 0.901670i | ||||||||
\(124\) | −4.00000 | −0.359211 | ||||||||
\(125\) | 2.00000 | + | 11.0000i | 0.178885 | + | 0.983870i | ||||
\(126\) | −4.00000 | −0.356348 | ||||||||
\(127\) | 10.0000i | 0.887357i | 0.896186 | + | 0.443678i | \(0.146327\pi\) | ||||
−0.896186 | + | 0.443678i | \(0.853673\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.00000 | + | 1.00000i | 0.175412 | + | 0.0877058i | ||||
\(131\) | −8.00000 | −0.698963 | −0.349482 | − | 0.936943i | \(-0.613642\pi\) | ||||
−0.349482 | + | 0.936943i | \(0.613642\pi\) | |||||||
\(132\) | 6.00000i | 0.522233i | ||||||||
\(133\) | − | 8.00000i | − | 0.693688i | ||||||
\(134\) | 12.0000 | 1.03664 | ||||||||
\(135\) | 1.00000 | − | 2.00000i | 0.0860663 | − | 0.172133i | ||||
\(136\) | −4.00000 | −0.342997 | ||||||||
\(137\) | 14.0000i | 1.19610i | 0.801459 | + | 0.598050i | \(0.204058\pi\) | ||||
−0.801459 | + | 0.598050i | \(0.795942\pi\) | |||||||
\(138\) | − | 6.00000i | − | 0.510754i | ||||||
\(139\) | −16.0000 | −1.35710 | −0.678551 | − | 0.734553i | \(-0.737392\pi\) | ||||
−0.678551 | + | 0.734553i | \(0.737392\pi\) | |||||||
\(140\) | 4.00000 | − | 8.00000i | 0.338062 | − | 0.676123i | ||||
\(141\) | 8.00000 | 0.673722 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | − | 6.00000i | − | 0.501745i | ||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | 20.0000 | + | 10.0000i | 1.66091 | + | 0.830455i | ||||
\(146\) | 2.00000 | 0.165521 | ||||||||
\(147\) | − | 9.00000i | − | 0.742307i | ||||||
\(148\) | − | 6.00000i | − | 0.493197i | ||||||
\(149\) | −16.0000 | −1.31077 | −0.655386 | − | 0.755295i | \(-0.727494\pi\) | ||||
−0.655386 | + | 0.755295i | \(0.727494\pi\) | |||||||
\(150\) | 3.00000 | + | 4.00000i | 0.244949 | + | 0.326599i | ||||
\(151\) | 16.0000 | 1.30206 | 0.651031 | − | 0.759051i | \(-0.274337\pi\) | ||||
0.651031 | + | 0.759051i | \(0.274337\pi\) | |||||||
\(152\) | − | 2.00000i | − | 0.162221i | ||||||
\(153\) | − | 4.00000i | − | 0.323381i | ||||||
\(154\) | −24.0000 | −1.93398 | ||||||||
\(155\) | 8.00000 | + | 4.00000i | 0.642575 | + | 0.321288i | ||||
\(156\) | 1.00000 | 0.0800641 | ||||||||
\(157\) | − | 6.00000i | − | 0.478852i | −0.970915 | − | 0.239426i | \(-0.923041\pi\) | ||
0.970915 | − | 0.239426i | \(-0.0769593\pi\) | |||||||
\(158\) | − | 8.00000i | − | 0.636446i | ||||||
\(159\) | 6.00000 | 0.475831 | ||||||||
\(160\) | 1.00000 | − | 2.00000i | 0.0790569 | − | 0.158114i | ||||
\(161\) | 24.0000 | 1.89146 | ||||||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | − | 4.00000i | − | 0.313304i | −0.987654 | − | 0.156652i | \(-0.949930\pi\) | ||
0.987654 | − | 0.156652i | \(-0.0500701\pi\) | |||||||
\(164\) | −10.0000 | −0.780869 | ||||||||
\(165\) | 6.00000 | − | 12.0000i | 0.467099 | − | 0.934199i | ||||
\(166\) | −4.00000 | −0.310460 | ||||||||
\(167\) | 16.0000i | 1.23812i | 0.785345 | + | 0.619059i | \(0.212486\pi\) | ||||
−0.785345 | + | 0.619059i | \(0.787514\pi\) | |||||||
\(168\) | − | 4.00000i | − | 0.308607i | ||||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | 8.00000 | + | 4.00000i | 0.613572 | + | 0.306786i | ||||
\(171\) | 2.00000 | 0.152944 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | − | 22.0000i | − | 1.67263i | −0.548250 | − | 0.836315i | \(-0.684706\pi\) | ||
0.548250 | − | 0.836315i | \(-0.315294\pi\) | |||||||
\(174\) | 10.0000 | 0.758098 | ||||||||
\(175\) | −16.0000 | + | 12.0000i | −1.20949 | + | 0.907115i | ||||
\(176\) | −6.00000 | −0.452267 | ||||||||
\(177\) | 6.00000i | 0.450988i | ||||||||
\(178\) | 14.0000i | 1.04934i | ||||||||
\(179\) | 24.0000 | 1.79384 | 0.896922 | − | 0.442189i | \(-0.145798\pi\) | ||||
0.896922 | + | 0.442189i | \(0.145798\pi\) | |||||||
\(180\) | 2.00000 | + | 1.00000i | 0.149071 | + | 0.0745356i | ||||
\(181\) | 6.00000 | 0.445976 | 0.222988 | − | 0.974821i | \(-0.428419\pi\) | ||||
0.222988 | + | 0.974821i | \(0.428419\pi\) | |||||||
\(182\) | 4.00000i | 0.296500i | ||||||||
\(183\) | − | 6.00000i | − | 0.443533i | ||||||
\(184\) | 6.00000 | 0.442326 | ||||||||
\(185\) | −6.00000 | + | 12.0000i | −0.441129 | + | 0.882258i | ||||
\(186\) | 4.00000 | 0.293294 | ||||||||
\(187\) | − | 24.0000i | − | 1.75505i | ||||||
\(188\) | 8.00000i | 0.583460i | ||||||||
\(189\) | 4.00000 | 0.290957 | ||||||||
\(190\) | −2.00000 | + | 4.00000i | −0.145095 | + | 0.290191i | ||||
\(191\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(192\) | − | 1.00000i | − | 0.0721688i | ||||||
\(193\) | − | 2.00000i | − | 0.143963i | −0.997406 | − | 0.0719816i | \(-0.977068\pi\) | ||
0.997406 | − | 0.0719816i | \(-0.0229323\pi\) | |||||||
\(194\) | −14.0000 | −1.00514 | ||||||||
\(195\) | −2.00000 | − | 1.00000i | −0.143223 | − | 0.0716115i | ||||
\(196\) | 9.00000 | 0.642857 | ||||||||
\(197\) | 6.00000i | 0.427482i | 0.976890 | + | 0.213741i | \(0.0685649\pi\) | ||||
−0.976890 | + | 0.213741i | \(0.931435\pi\) | |||||||
\(198\) | − | 6.00000i | − | 0.426401i | ||||||
\(199\) | 8.00000 | 0.567105 | 0.283552 | − | 0.958957i | \(-0.408487\pi\) | ||||
0.283552 | + | 0.958957i | \(0.408487\pi\) | |||||||
\(200\) | −4.00000 | + | 3.00000i | −0.282843 | + | 0.212132i | ||||
\(201\) | −12.0000 | −0.846415 | ||||||||
\(202\) | − | 10.0000i | − | 0.703598i | ||||||
\(203\) | 40.0000i | 2.80745i | ||||||||
\(204\) | 4.00000 | 0.280056 | ||||||||
\(205\) | 20.0000 | + | 10.0000i | 1.39686 | + | 0.698430i | ||||
\(206\) | −2.00000 | −0.139347 | ||||||||
\(207\) | 6.00000i | 0.417029i | ||||||||
\(208\) | 1.00000i | 0.0693375i | ||||||||
\(209\) | 12.0000 | 0.830057 | ||||||||
\(210\) | −4.00000 | + | 8.00000i | −0.276026 | + | 0.552052i | ||||
\(211\) | 4.00000 | 0.275371 | 0.137686 | − | 0.990476i | \(-0.456034\pi\) | ||||
0.137686 | + | 0.990476i | \(0.456034\pi\) | |||||||
\(212\) | 6.00000i | 0.412082i | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 16.0000i | 1.08615i | ||||||||
\(218\) | 4.00000i | 0.270914i | ||||||||
\(219\) | −2.00000 | −0.135147 | ||||||||
\(220\) | 12.0000 | + | 6.00000i | 0.809040 | + | 0.404520i | ||||
\(221\) | −4.00000 | −0.269069 | ||||||||
\(222\) | 6.00000i | 0.402694i | ||||||||
\(223\) | 8.00000i | 0.535720i | 0.963458 | + | 0.267860i | \(0.0863164\pi\) | ||||
−0.963458 | + | 0.267860i | \(0.913684\pi\) | |||||||
\(224\) | 4.00000 | 0.267261 | ||||||||
\(225\) | −3.00000 | − | 4.00000i | −0.200000 | − | 0.266667i | ||||
\(226\) | −4.00000 | −0.266076 | ||||||||
\(227\) | 4.00000i | 0.265489i | 0.991150 | + | 0.132745i | \(0.0423790\pi\) | ||||
−0.991150 | + | 0.132745i | \(0.957621\pi\) | |||||||
\(228\) | 2.00000i | 0.132453i | ||||||||
\(229\) | −8.00000 | −0.528655 | −0.264327 | − | 0.964433i | \(-0.585150\pi\) | ||||
−0.264327 | + | 0.964433i | \(0.585150\pi\) | |||||||
\(230\) | −12.0000 | − | 6.00000i | −0.791257 | − | 0.395628i | ||||
\(231\) | 24.0000 | 1.57908 | ||||||||
\(232\) | 10.0000i | 0.656532i | ||||||||
\(233\) | − | 12.0000i | − | 0.786146i | −0.919507 | − | 0.393073i | \(-0.871412\pi\) | ||
0.919507 | − | 0.393073i | \(-0.128588\pi\) | |||||||
\(234\) | −1.00000 | −0.0653720 | ||||||||
\(235\) | 8.00000 | − | 16.0000i | 0.521862 | − | 1.04372i | ||||
\(236\) | −6.00000 | −0.390567 | ||||||||
\(237\) | 8.00000i | 0.519656i | ||||||||
\(238\) | 16.0000i | 1.03713i | ||||||||
\(239\) | 4.00000 | 0.258738 | 0.129369 | − | 0.991596i | \(-0.458705\pi\) | ||||
0.129369 | + | 0.991596i | \(0.458705\pi\) | |||||||
\(240\) | −1.00000 | + | 2.00000i | −0.0645497 | + | 0.129099i | ||||
\(241\) | 18.0000 | 1.15948 | 0.579741 | − | 0.814801i | \(-0.303154\pi\) | ||||
0.579741 | + | 0.814801i | \(0.303154\pi\) | |||||||
\(242\) | − | 25.0000i | − | 1.60706i | ||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 6.00000 | 0.384111 | ||||||||
\(245\) | −18.0000 | − | 9.00000i | −1.14998 | − | 0.574989i | ||||
\(246\) | 10.0000 | 0.637577 | ||||||||
\(247\) | − | 2.00000i | − | 0.127257i | ||||||
\(248\) | 4.00000i | 0.254000i | ||||||||
\(249\) | 4.00000 | 0.253490 | ||||||||
\(250\) | 11.0000 | − | 2.00000i | 0.695701 | − | 0.126491i | ||||
\(251\) | −20.0000 | −1.26239 | −0.631194 | − | 0.775625i | \(-0.717435\pi\) | ||||
−0.631194 | + | 0.775625i | \(0.717435\pi\) | |||||||
\(252\) | 4.00000i | 0.251976i | ||||||||
\(253\) | 36.0000i | 2.26330i | ||||||||
\(254\) | 10.0000 | 0.627456 | ||||||||
\(255\) | −8.00000 | − | 4.00000i | −0.500979 | − | 0.250490i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | − | 28.0000i | − | 1.74659i | −0.487190 | − | 0.873296i | \(-0.661978\pi\) | ||
0.487190 | − | 0.873296i | \(-0.338022\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −24.0000 | −1.49129 | ||||||||
\(260\) | 1.00000 | − | 2.00000i | 0.0620174 | − | 0.124035i | ||||
\(261\) | −10.0000 | −0.618984 | ||||||||
\(262\) | 8.00000i | 0.494242i | ||||||||
\(263\) | − | 10.0000i | − | 0.616626i | −0.951285 | − | 0.308313i | \(-0.900236\pi\) | ||
0.951285 | − | 0.308313i | \(-0.0997645\pi\) | |||||||
\(264\) | 6.00000 | 0.369274 | ||||||||
\(265\) | 6.00000 | − | 12.0000i | 0.368577 | − | 0.737154i | ||||
\(266\) | −8.00000 | −0.490511 | ||||||||
\(267\) | − | 14.0000i | − | 0.856786i | ||||||
\(268\) | − | 12.0000i | − | 0.733017i | ||||||
\(269\) | −10.0000 | −0.609711 | −0.304855 | − | 0.952399i | \(-0.598608\pi\) | ||||
−0.304855 | + | 0.952399i | \(0.598608\pi\) | |||||||
\(270\) | −2.00000 | − | 1.00000i | −0.121716 | − | 0.0608581i | ||||
\(271\) | −8.00000 | −0.485965 | −0.242983 | − | 0.970031i | \(-0.578126\pi\) | ||||
−0.242983 | + | 0.970031i | \(0.578126\pi\) | |||||||
\(272\) | 4.00000i | 0.242536i | ||||||||
\(273\) | − | 4.00000i | − | 0.242091i | ||||||
\(274\) | 14.0000 | 0.845771 | ||||||||
\(275\) | −18.0000 | − | 24.0000i | −1.08544 | − | 1.44725i | ||||
\(276\) | −6.00000 | −0.361158 | ||||||||
\(277\) | 14.0000i | 0.841178i | 0.907251 | + | 0.420589i | \(0.138177\pi\) | ||||
−0.907251 | + | 0.420589i | \(0.861823\pi\) | |||||||
\(278\) | 16.0000i | 0.959616i | ||||||||
\(279\) | −4.00000 | −0.239474 | ||||||||
\(280\) | −8.00000 | − | 4.00000i | −0.478091 | − | 0.239046i | ||||
\(281\) | −18.0000 | −1.07379 | −0.536895 | − | 0.843649i | \(-0.680403\pi\) | ||||
−0.536895 | + | 0.843649i | \(0.680403\pi\) | |||||||
\(282\) | − | 8.00000i | − | 0.476393i | ||||||
\(283\) | − | 12.0000i | − | 0.713326i | −0.934233 | − | 0.356663i | \(-0.883914\pi\) | ||
0.934233 | − | 0.356663i | \(-0.116086\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.00000 | − | 4.00000i | 0.118470 | − | 0.236940i | ||||
\(286\) | −6.00000 | −0.354787 | ||||||||
\(287\) | 40.0000i | 2.36113i | ||||||||
\(288\) | 1.00000i | 0.0589256i | ||||||||
\(289\) | 1.00000 | 0.0588235 | ||||||||
\(290\) | 10.0000 | − | 20.0000i | 0.587220 | − | 1.17444i | ||||
\(291\) | 14.0000 | 0.820695 | ||||||||
\(292\) | − | 2.00000i | − | 0.117041i | ||||||
\(293\) | 18.0000i | 1.05157i | 0.850617 | + | 0.525786i | \(0.176229\pi\) | ||||
−0.850617 | + | 0.525786i | \(0.823771\pi\) | |||||||
\(294\) | −9.00000 | −0.524891 | ||||||||
\(295\) | 12.0000 | + | 6.00000i | 0.698667 | + | 0.349334i | ||||
\(296\) | −6.00000 | −0.348743 | ||||||||
\(297\) | 6.00000i | 0.348155i | ||||||||
\(298\) | 16.0000i | 0.926855i | ||||||||
\(299\) | 6.00000 | 0.346989 | ||||||||
\(300\) | 4.00000 | − | 3.00000i | 0.230940 | − | 0.173205i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | − | 16.0000i | − | 0.920697i | ||||||
\(303\) | 10.0000i | 0.574485i | ||||||||
\(304\) | −2.00000 | −0.114708 | ||||||||
\(305\) | −12.0000 | − | 6.00000i | −0.687118 | − | 0.343559i | ||||
\(306\) | −4.00000 | −0.228665 | ||||||||
\(307\) | 4.00000i | 0.228292i | 0.993464 | + | 0.114146i | \(0.0364132\pi\) | ||||
−0.993464 | + | 0.114146i | \(0.963587\pi\) | |||||||
\(308\) | 24.0000i | 1.36753i | ||||||||
\(309\) | 2.00000 | 0.113776 | ||||||||
\(310\) | 4.00000 | − | 8.00000i | 0.227185 | − | 0.454369i | ||||
\(311\) | −8.00000 | −0.453638 | −0.226819 | − | 0.973937i | \(-0.572833\pi\) | ||||
−0.226819 | + | 0.973937i | \(0.572833\pi\) | |||||||
\(312\) | − | 1.00000i | − | 0.0566139i | ||||||
\(313\) | − | 8.00000i | − | 0.452187i | −0.974106 | − | 0.226093i | \(-0.927405\pi\) | ||
0.974106 | − | 0.226093i | \(-0.0725954\pi\) | |||||||
\(314\) | −6.00000 | −0.338600 | ||||||||
\(315\) | 4.00000 | − | 8.00000i | 0.225374 | − | 0.450749i | ||||
\(316\) | −8.00000 | −0.450035 | ||||||||
\(317\) | − | 2.00000i | − | 0.112331i | −0.998421 | − | 0.0561656i | \(-0.982113\pi\) | ||
0.998421 | − | 0.0561656i | \(-0.0178875\pi\) | |||||||
\(318\) | − | 6.00000i | − | 0.336463i | ||||||
\(319\) | −60.0000 | −3.35936 | ||||||||
\(320\) | −2.00000 | − | 1.00000i | −0.111803 | − | 0.0559017i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | − | 24.0000i | − | 1.33747i | ||||||
\(323\) | − | 8.00000i | − | 0.445132i | ||||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −4.00000 | + | 3.00000i | −0.221880 | + | 0.166410i | ||||
\(326\) | −4.00000 | −0.221540 | ||||||||
\(327\) | − | 4.00000i | − | 0.221201i | ||||||
\(328\) | 10.0000i | 0.552158i | ||||||||
\(329\) | 32.0000 | 1.76422 | ||||||||
\(330\) | −12.0000 | − | 6.00000i | −0.660578 | − | 0.330289i | ||||
\(331\) | 2.00000 | 0.109930 | 0.0549650 | − | 0.998488i | \(-0.482495\pi\) | ||||
0.0549650 | + | 0.998488i | \(0.482495\pi\) | |||||||
\(332\) | 4.00000i | 0.219529i | ||||||||
\(333\) | − | 6.00000i | − | 0.328798i | ||||||
\(334\) | 16.0000 | 0.875481 | ||||||||
\(335\) | −12.0000 | + | 24.0000i | −0.655630 | + | 1.31126i | ||||
\(336\) | −4.00000 | −0.218218 | ||||||||
\(337\) | − | 16.0000i | − | 0.871576i | −0.900049 | − | 0.435788i | \(-0.856470\pi\) | ||
0.900049 | − | 0.435788i | \(-0.143530\pi\) | |||||||
\(338\) | 1.00000i | 0.0543928i | ||||||||
\(339\) | 4.00000 | 0.217250 | ||||||||
\(340\) | 4.00000 | − | 8.00000i | 0.216930 | − | 0.433861i | ||||
\(341\) | −24.0000 | −1.29967 | ||||||||
\(342\) | − | 2.00000i | − | 0.108148i | ||||||
\(343\) | − | 8.00000i | − | 0.431959i | ||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 12.0000 | + | 6.00000i | 0.646058 | + | 0.323029i | ||||
\(346\) | −22.0000 | −1.18273 | ||||||||
\(347\) | − | 16.0000i | − | 0.858925i | −0.903085 | − | 0.429463i | \(-0.858703\pi\) | ||
0.903085 | − | 0.429463i | \(-0.141297\pi\) | |||||||
\(348\) | − | 10.0000i | − | 0.536056i | ||||||
\(349\) | 4.00000 | 0.214115 | 0.107058 | − | 0.994253i | \(-0.465857\pi\) | ||||
0.107058 | + | 0.994253i | \(0.465857\pi\) | |||||||
\(350\) | 12.0000 | + | 16.0000i | 0.641427 | + | 0.855236i | ||||
\(351\) | 1.00000 | 0.0533761 | ||||||||
\(352\) | 6.00000i | 0.319801i | ||||||||
\(353\) | − | 26.0000i | − | 1.38384i | −0.721974 | − | 0.691920i | \(-0.756765\pi\) | ||
0.721974 | − | 0.691920i | \(-0.243235\pi\) | |||||||
\(354\) | 6.00000 | 0.318896 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 14.0000 | 0.741999 | ||||||||
\(357\) | − | 16.0000i | − | 0.846810i | ||||||
\(358\) | − | 24.0000i | − | 1.26844i | ||||||
\(359\) | 20.0000 | 1.05556 | 0.527780 | − | 0.849381i | \(-0.323025\pi\) | ||||
0.527780 | + | 0.849381i | \(0.323025\pi\) | |||||||
\(360\) | 1.00000 | − | 2.00000i | 0.0527046 | − | 0.105409i | ||||
\(361\) | −15.0000 | −0.789474 | ||||||||
\(362\) | − | 6.00000i | − | 0.315353i | ||||||
\(363\) | 25.0000i | 1.31216i | ||||||||
\(364\) | 4.00000 | 0.209657 | ||||||||
\(365\) | −2.00000 | + | 4.00000i | −0.104685 | + | 0.209370i | ||||
\(366\) | −6.00000 | −0.313625 | ||||||||
\(367\) | 18.0000i | 0.939592i | 0.882775 | + | 0.469796i | \(0.155673\pi\) | ||||
−0.882775 | + | 0.469796i | \(0.844327\pi\) | |||||||
\(368\) | − | 6.00000i | − | 0.312772i | ||||||
\(369\) | −10.0000 | −0.520579 | ||||||||
\(370\) | 12.0000 | + | 6.00000i | 0.623850 | + | 0.311925i | ||||
\(371\) | 24.0000 | 1.24602 | ||||||||
\(372\) | − | 4.00000i | − | 0.207390i | ||||||
\(373\) | − | 18.0000i | − | 0.932005i | −0.884783 | − | 0.466002i | \(-0.845694\pi\) | ||
0.884783 | − | 0.466002i | \(-0.154306\pi\) | |||||||
\(374\) | −24.0000 | −1.24101 | ||||||||
\(375\) | −11.0000 | + | 2.00000i | −0.568038 | + | 0.103280i | ||||
\(376\) | 8.00000 | 0.412568 | ||||||||
\(377\) | 10.0000i | 0.515026i | ||||||||
\(378\) | − | 4.00000i | − | 0.205738i | ||||||
\(379\) | −10.0000 | −0.513665 | −0.256833 | − | 0.966456i | \(-0.582679\pi\) | ||||
−0.256833 | + | 0.966456i | \(0.582679\pi\) | |||||||
\(380\) | 4.00000 | + | 2.00000i | 0.205196 | + | 0.102598i | ||||
\(381\) | −10.0000 | −0.512316 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 20.0000i | 1.02195i | 0.859595 | + | 0.510976i | \(0.170716\pi\) | ||||
−0.859595 | + | 0.510976i | \(0.829284\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | 24.0000 | − | 48.0000i | 1.22315 | − | 2.44631i | ||||
\(386\) | −2.00000 | −0.101797 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 14.0000i | 0.710742i | ||||||||
\(389\) | −30.0000 | −1.52106 | −0.760530 | − | 0.649303i | \(-0.775061\pi\) | ||||
−0.760530 | + | 0.649303i | \(0.775061\pi\) | |||||||
\(390\) | −1.00000 | + | 2.00000i | −0.0506370 | + | 0.101274i | ||||
\(391\) | 24.0000 | 1.21373 | ||||||||
\(392\) | − | 9.00000i | − | 0.454569i | ||||||
\(393\) | − | 8.00000i | − | 0.403547i | ||||||
\(394\) | 6.00000 | 0.302276 | ||||||||
\(395\) | 16.0000 | + | 8.00000i | 0.805047 | + | 0.402524i | ||||
\(396\) | −6.00000 | −0.301511 | ||||||||
\(397\) | 10.0000i | 0.501886i | 0.968002 | + | 0.250943i | \(0.0807406\pi\) | ||||
−0.968002 | + | 0.250943i | \(0.919259\pi\) | |||||||
\(398\) | − | 8.00000i | − | 0.401004i | ||||||
\(399\) | 8.00000 | 0.400501 | ||||||||
\(400\) | 3.00000 | + | 4.00000i | 0.150000 | + | 0.200000i | ||||
\(401\) | 30.0000 | 1.49813 | 0.749064 | − | 0.662497i | \(-0.230503\pi\) | ||||
0.749064 | + | 0.662497i | \(0.230503\pi\) | |||||||
\(402\) | 12.0000i | 0.598506i | ||||||||
\(403\) | 4.00000i | 0.199254i | ||||||||
\(404\) | −10.0000 | −0.497519 | ||||||||
\(405\) | 2.00000 | + | 1.00000i | 0.0993808 | + | 0.0496904i | ||||
\(406\) | 40.0000 | 1.98517 | ||||||||
\(407\) | − | 36.0000i | − | 1.78445i | ||||||
\(408\) | − | 4.00000i | − | 0.198030i | ||||||
\(409\) | 34.0000 | 1.68119 | 0.840596 | − | 0.541663i | \(-0.182205\pi\) | ||||
0.840596 | + | 0.541663i | \(0.182205\pi\) | |||||||
\(410\) | 10.0000 | − | 20.0000i | 0.493865 | − | 0.987730i | ||||
\(411\) | −14.0000 | −0.690569 | ||||||||
\(412\) | 2.00000i | 0.0985329i | ||||||||
\(413\) | 24.0000i | 1.18096i | ||||||||
\(414\) | 6.00000 | 0.294884 | ||||||||
\(415\) | 4.00000 | − | 8.00000i | 0.196352 | − | 0.392705i | ||||
\(416\) | 1.00000 | 0.0490290 | ||||||||
\(417\) | − | 16.0000i | − | 0.783523i | ||||||
\(418\) | − | 12.0000i | − | 0.586939i | ||||||
\(419\) | −8.00000 | −0.390826 | −0.195413 | − | 0.980721i | \(-0.562605\pi\) | ||||
−0.195413 | + | 0.980721i | \(0.562605\pi\) | |||||||
\(420\) | 8.00000 | + | 4.00000i | 0.390360 | + | 0.195180i | ||||
\(421\) | 4.00000 | 0.194948 | 0.0974740 | − | 0.995238i | \(-0.468924\pi\) | ||||
0.0974740 | + | 0.995238i | \(0.468924\pi\) | |||||||
\(422\) | − | 4.00000i | − | 0.194717i | ||||||
\(423\) | 8.00000i | 0.388973i | ||||||||
\(424\) | 6.00000 | 0.291386 | ||||||||
\(425\) | −16.0000 | + | 12.0000i | −0.776114 | + | 0.582086i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − | 24.0000i | − | 1.16144i | ||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.00000 | 0.289683 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −16.0000 | −0.770693 | −0.385346 | − | 0.922772i | \(-0.625918\pi\) | ||||
−0.385346 | + | 0.922772i | \(0.625918\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | 16.0000i | 0.768911i | 0.923144 | + | 0.384455i | \(0.125611\pi\) | ||||
−0.923144 | + | 0.384455i | \(0.874389\pi\) | |||||||
\(434\) | 16.0000 | 0.768025 | ||||||||
\(435\) | −10.0000 | + | 20.0000i | −0.479463 | + | 0.958927i | ||||
\(436\) | 4.00000 | 0.191565 | ||||||||
\(437\) | 12.0000i | 0.574038i | ||||||||
\(438\) | 2.00000i | 0.0955637i | ||||||||
\(439\) | 32.0000 | 1.52728 | 0.763638 | − | 0.645644i | \(-0.223411\pi\) | ||||
0.763638 | + | 0.645644i | \(0.223411\pi\) | |||||||
\(440\) | 6.00000 | − | 12.0000i | 0.286039 | − | 0.572078i | ||||
\(441\) | 9.00000 | 0.428571 | ||||||||
\(442\) | 4.00000i | 0.190261i | ||||||||
\(443\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(444\) | 6.00000 | 0.284747 | ||||||||
\(445\) | −28.0000 | − | 14.0000i | −1.32733 | − | 0.663664i | ||||
\(446\) | 8.00000 | 0.378811 | ||||||||
\(447\) | − | 16.0000i | − | 0.756774i | ||||||
\(448\) | − | 4.00000i | − | 0.188982i | ||||||
\(449\) | −38.0000 | −1.79333 | −0.896665 | − | 0.442709i | \(-0.854018\pi\) | ||||
−0.896665 | + | 0.442709i | \(0.854018\pi\) | |||||||
\(450\) | −4.00000 | + | 3.00000i | −0.188562 | + | 0.141421i | ||||
\(451\) | −60.0000 | −2.82529 | ||||||||
\(452\) | 4.00000i | 0.188144i | ||||||||
\(453\) | 16.0000i | 0.751746i | ||||||||
\(454\) | 4.00000 | 0.187729 | ||||||||
\(455\) | −8.00000 | − | 4.00000i | −0.375046 | − | 0.187523i | ||||
\(456\) | 2.00000 | 0.0936586 | ||||||||
\(457\) | − | 14.0000i | − | 0.654892i | −0.944870 | − | 0.327446i | \(-0.893812\pi\) | ||
0.944870 | − | 0.327446i | \(-0.106188\pi\) | |||||||
\(458\) | 8.00000i | 0.373815i | ||||||||
\(459\) | 4.00000 | 0.186704 | ||||||||
\(460\) | −6.00000 | + | 12.0000i | −0.279751 | + | 0.559503i | ||||
\(461\) | −4.00000 | −0.186299 | −0.0931493 | − | 0.995652i | \(-0.529693\pi\) | ||||
−0.0931493 | + | 0.995652i | \(0.529693\pi\) | |||||||
\(462\) | − | 24.0000i | − | 1.11658i | ||||||
\(463\) | 4.00000i | 0.185896i | 0.995671 | + | 0.0929479i | \(0.0296290\pi\) | ||||
−0.995671 | + | 0.0929479i | \(0.970371\pi\) | |||||||
\(464\) | 10.0000 | 0.464238 | ||||||||
\(465\) | −4.00000 | + | 8.00000i | −0.185496 | + | 0.370991i | ||||
\(466\) | −12.0000 | −0.555889 | ||||||||
\(467\) | − | 8.00000i | − | 0.370196i | −0.982720 | − | 0.185098i | \(-0.940740\pi\) | ||
0.982720 | − | 0.185098i | \(-0.0592602\pi\) | |||||||
\(468\) | 1.00000i | 0.0462250i | ||||||||
\(469\) | −48.0000 | −2.21643 | ||||||||
\(470\) | −16.0000 | − | 8.00000i | −0.738025 | − | 0.369012i | ||||
\(471\) | 6.00000 | 0.276465 | ||||||||
\(472\) | 6.00000i | 0.276172i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 8.00000 | 0.367452 | ||||||||
\(475\) | −6.00000 | − | 8.00000i | −0.275299 | − | 0.367065i | ||||
\(476\) | 16.0000 | 0.733359 | ||||||||
\(477\) | 6.00000i | 0.274721i | ||||||||
\(478\) | − | 4.00000i | − | 0.182956i | ||||||
\(479\) | 20.0000 | 0.913823 | 0.456912 | − | 0.889512i | \(-0.348956\pi\) | ||||
0.456912 | + | 0.889512i | \(0.348956\pi\) | |||||||
\(480\) | 2.00000 | + | 1.00000i | 0.0912871 | + | 0.0456435i | ||||
\(481\) | −6.00000 | −0.273576 | ||||||||
\(482\) | − | 18.0000i | − | 0.819878i | ||||||
\(483\) | 24.0000i | 1.09204i | ||||||||
\(484\) | −25.0000 | −1.13636 | ||||||||
\(485\) | 14.0000 | − | 28.0000i | 0.635707 | − | 1.27141i | ||||
\(486\) | 1.00000 | 0.0453609 | ||||||||
\(487\) | − | 32.0000i | − | 1.45006i | −0.688718 | − | 0.725029i | \(-0.741826\pi\) | ||
0.688718 | − | 0.725029i | \(-0.258174\pi\) | |||||||
\(488\) | − | 6.00000i | − | 0.271607i | ||||||
\(489\) | 4.00000 | 0.180886 | ||||||||
\(490\) | −9.00000 | + | 18.0000i | −0.406579 | + | 0.813157i | ||||
\(491\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(492\) | − | 10.0000i | − | 0.450835i | ||||||
\(493\) | 40.0000i | 1.80151i | ||||||||
\(494\) | −2.00000 | −0.0899843 | ||||||||
\(495\) | 12.0000 | + | 6.00000i | 0.539360 | + | 0.269680i | ||||
\(496\) | 4.00000 | 0.179605 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | − | 4.00000i | − | 0.179244i | ||||||
\(499\) | 18.0000 | 0.805791 | 0.402895 | − | 0.915246i | \(-0.368004\pi\) | ||||
0.402895 | + | 0.915246i | \(0.368004\pi\) | |||||||
\(500\) | −2.00000 | − | 11.0000i | −0.0894427 | − | 0.491935i | ||||
\(501\) | −16.0000 | −0.714827 | ||||||||
\(502\) | 20.0000i | 0.892644i | ||||||||
\(503\) | − | 14.0000i | − | 0.624229i | −0.950044 | − | 0.312115i | \(-0.898963\pi\) | ||
0.950044 | − | 0.312115i | \(-0.101037\pi\) | |||||||
\(504\) | 4.00000 | 0.178174 | ||||||||
\(505\) | 20.0000 | + | 10.0000i | 0.889988 | + | 0.444994i | ||||
\(506\) | 36.0000 | 1.60040 | ||||||||
\(507\) | − | 1.00000i | − | 0.0444116i | ||||||
\(508\) | − | 10.0000i | − | 0.443678i | ||||||
\(509\) | −16.0000 | −0.709188 | −0.354594 | − | 0.935020i | \(-0.615381\pi\) | ||||
−0.354594 | + | 0.935020i | \(0.615381\pi\) | |||||||
\(510\) | −4.00000 | + | 8.00000i | −0.177123 | + | 0.354246i | ||||
\(511\) | −8.00000 | −0.353899 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 2.00000i | 0.0883022i | ||||||||
\(514\) | −28.0000 | −1.23503 | ||||||||
\(515\) | 2.00000 | − | 4.00000i | 0.0881305 | − | 0.176261i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 48.0000i | 2.11104i | ||||||||
\(518\) | 24.0000i | 1.05450i | ||||||||
\(519\) | 22.0000 | 0.965693 | ||||||||
\(520\) | −2.00000 | − | 1.00000i | −0.0877058 | − | 0.0438529i | ||||
\(521\) | 6.00000 | 0.262865 | 0.131432 | − | 0.991325i | \(-0.458042\pi\) | ||||
0.131432 | + | 0.991325i | \(0.458042\pi\) | |||||||
\(522\) | 10.0000i | 0.437688i | ||||||||
\(523\) | 16.0000i | 0.699631i | 0.936819 | + | 0.349816i | \(0.113756\pi\) | ||||
−0.936819 | + | 0.349816i | \(0.886244\pi\) | |||||||
\(524\) | 8.00000 | 0.349482 | ||||||||
\(525\) | −12.0000 | − | 16.0000i | −0.523723 | − | 0.698297i | ||||
\(526\) | −10.0000 | −0.436021 | ||||||||
\(527\) | 16.0000i | 0.696971i | ||||||||
\(528\) | − | 6.00000i | − | 0.261116i | ||||||
\(529\) | −13.0000 | −0.565217 | ||||||||
\(530\) | −12.0000 | − | 6.00000i | −0.521247 | − | 0.260623i | ||||
\(531\) | −6.00000 | −0.260378 | ||||||||
\(532\) | 8.00000i | 0.346844i | ||||||||
\(533\) | 10.0000i | 0.433148i | ||||||||
\(534\) | −14.0000 | −0.605839 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −12.0000 | −0.518321 | ||||||||
\(537\) | 24.0000i | 1.03568i | ||||||||
\(538\) | 10.0000i | 0.431131i | ||||||||
\(539\) | 54.0000 | 2.32594 | ||||||||
\(540\) | −1.00000 | + | 2.00000i | −0.0430331 | + | 0.0860663i | ||||
\(541\) | −32.0000 | −1.37579 | −0.687894 | − | 0.725811i | \(-0.741464\pi\) | ||||
−0.687894 | + | 0.725811i | \(0.741464\pi\) | |||||||
\(542\) | 8.00000i | 0.343629i | ||||||||
\(543\) | 6.00000i | 0.257485i | ||||||||
\(544\) | 4.00000 | 0.171499 | ||||||||
\(545\) | −8.00000 | − | 4.00000i | −0.342682 | − | 0.171341i | ||||
\(546\) | −4.00000 | −0.171184 | ||||||||
\(547\) | − | 36.0000i | − | 1.53925i | −0.638497 | − | 0.769624i | \(-0.720443\pi\) | ||
0.638497 | − | 0.769624i | \(-0.279557\pi\) | |||||||
\(548\) | − | 14.0000i | − | 0.598050i | ||||||
\(549\) | 6.00000 | 0.256074 | ||||||||
\(550\) | −24.0000 | + | 18.0000i | −1.02336 | + | 0.767523i | ||||
\(551\) | −20.0000 | −0.852029 | ||||||||
\(552\) | 6.00000i | 0.255377i | ||||||||
\(553\) | 32.0000i | 1.36078i | ||||||||
\(554\) | 14.0000 | 0.594803 | ||||||||
\(555\) | −12.0000 | − | 6.00000i | −0.509372 | − | 0.254686i | ||||
\(556\) | 16.0000 | 0.678551 | ||||||||
\(557\) | 18.0000i | 0.762684i | 0.924434 | + | 0.381342i | \(0.124538\pi\) | ||||
−0.924434 | + | 0.381342i | \(0.875462\pi\) | |||||||
\(558\) | 4.00000i | 0.169334i | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −4.00000 | + | 8.00000i | −0.169031 | + | 0.338062i | ||||
\(561\) | 24.0000 | 1.01328 | ||||||||
\(562\) | 18.0000i | 0.759284i | ||||||||
\(563\) | 24.0000i | 1.01148i | 0.862686 | + | 0.505740i | \(0.168780\pi\) | ||||
−0.862686 | + | 0.505740i | \(0.831220\pi\) | |||||||
\(564\) | −8.00000 | −0.336861 | ||||||||
\(565\) | 4.00000 | − | 8.00000i | 0.168281 | − | 0.336563i | ||||
\(566\) | −12.0000 | −0.504398 | ||||||||
\(567\) | 4.00000i | 0.167984i | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 42.0000 | 1.76073 | 0.880366 | − | 0.474295i | \(-0.157297\pi\) | ||||
0.880366 | + | 0.474295i | \(0.157297\pi\) | |||||||
\(570\) | −4.00000 | − | 2.00000i | −0.167542 | − | 0.0837708i | ||||
\(571\) | 12.0000 | 0.502184 | 0.251092 | − | 0.967963i | \(-0.419210\pi\) | ||||
0.251092 | + | 0.967963i | \(0.419210\pi\) | |||||||
\(572\) | 6.00000i | 0.250873i | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 40.0000 | 1.66957 | ||||||||
\(575\) | 24.0000 | − | 18.0000i | 1.00087 | − | 0.750652i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | − | 2.00000i | − | 0.0832611i | −0.999133 | − | 0.0416305i | \(-0.986745\pi\) | ||
0.999133 | − | 0.0416305i | \(-0.0132552\pi\) | |||||||
\(578\) | − | 1.00000i | − | 0.0415945i | ||||||
\(579\) | 2.00000 | 0.0831172 | ||||||||
\(580\) | −20.0000 | − | 10.0000i | −0.830455 | − | 0.415227i | ||||
\(581\) | 16.0000 | 0.663792 | ||||||||
\(582\) | − | 14.0000i | − | 0.580319i | ||||||
\(583\) | 36.0000i | 1.49097i | ||||||||
\(584\) | −2.00000 | −0.0827606 | ||||||||
\(585\) | 1.00000 | − | 2.00000i | 0.0413449 | − | 0.0826898i | ||||
\(586\) | 18.0000 | 0.743573 | ||||||||
\(587\) | 28.0000i | 1.15568i | 0.816149 | + | 0.577842i | \(0.196105\pi\) | ||||
−0.816149 | + | 0.577842i | \(0.803895\pi\) | |||||||
\(588\) | 9.00000i | 0.371154i | ||||||||
\(589\) | −8.00000 | −0.329634 | ||||||||
\(590\) | 6.00000 | − | 12.0000i | 0.247016 | − | 0.494032i | ||||
\(591\) | −6.00000 | −0.246807 | ||||||||
\(592\) | 6.00000i | 0.246598i | ||||||||
\(593\) | 14.0000i | 0.574911i | 0.957794 | + | 0.287456i | \(0.0928094\pi\) | ||||
−0.957794 | + | 0.287456i | \(0.907191\pi\) | |||||||
\(594\) | 6.00000 | 0.246183 | ||||||||
\(595\) | −32.0000 | − | 16.0000i | −1.31187 | − | 0.655936i | ||||
\(596\) | 16.0000 | 0.655386 | ||||||||
\(597\) | 8.00000i | 0.327418i | ||||||||
\(598\) | − | 6.00000i | − | 0.245358i | ||||||
\(599\) | 32.0000 | 1.30748 | 0.653742 | − | 0.756717i | \(-0.273198\pi\) | ||||
0.653742 | + | 0.756717i | \(0.273198\pi\) | |||||||
\(600\) | −3.00000 | − | 4.00000i | −0.122474 | − | 0.163299i | ||||
\(601\) | 22.0000 | 0.897399 | 0.448699 | − | 0.893683i | \(-0.351887\pi\) | ||||
0.448699 | + | 0.893683i | \(0.351887\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 12.0000i | − | 0.488678i | ||||||
\(604\) | −16.0000 | −0.651031 | ||||||||
\(605\) | 50.0000 | + | 25.0000i | 2.03279 | + | 1.01639i | ||||
\(606\) | 10.0000 | 0.406222 | ||||||||
\(607\) | − | 42.0000i | − | 1.70473i | −0.522949 | − | 0.852364i | \(-0.675168\pi\) | ||
0.522949 | − | 0.852364i | \(-0.324832\pi\) | |||||||
\(608\) | 2.00000i | 0.0811107i | ||||||||
\(609\) | −40.0000 | −1.62088 | ||||||||
\(610\) | −6.00000 | + | 12.0000i | −0.242933 | + | 0.485866i | ||||
\(611\) | 8.00000 | 0.323645 | ||||||||
\(612\) | 4.00000i | 0.161690i | ||||||||
\(613\) | − | 38.0000i | − | 1.53481i | −0.641165 | − | 0.767403i | \(-0.721549\pi\) | ||
0.641165 | − | 0.767403i | \(-0.278451\pi\) | |||||||
\(614\) | 4.00000 | 0.161427 | ||||||||
\(615\) | −10.0000 | + | 20.0000i | −0.403239 | + | 0.806478i | ||||
\(616\) | 24.0000 | 0.966988 | ||||||||
\(617\) | 18.0000i | 0.724653i | 0.932051 | + | 0.362326i | \(0.118017\pi\) | ||||
−0.932051 | + | 0.362326i | \(0.881983\pi\) | |||||||
\(618\) | − | 2.00000i | − | 0.0804518i | ||||||
\(619\) | 22.0000 | 0.884255 | 0.442127 | − | 0.896952i | \(-0.354224\pi\) | ||||
0.442127 | + | 0.896952i | \(0.354224\pi\) | |||||||
\(620\) | −8.00000 | − | 4.00000i | −0.321288 | − | 0.160644i | ||||
\(621\) | −6.00000 | −0.240772 | ||||||||
\(622\) | 8.00000i | 0.320771i | ||||||||
\(623\) | − | 56.0000i | − | 2.24359i | ||||||
\(624\) | −1.00000 | −0.0400320 | ||||||||
\(625\) | −7.00000 | + | 24.0000i | −0.280000 | + | 0.960000i | ||||
\(626\) | −8.00000 | −0.319744 | ||||||||
\(627\) | 12.0000i | 0.479234i | ||||||||
\(628\) | 6.00000i | 0.239426i | ||||||||
\(629\) | −24.0000 | −0.956943 | ||||||||
\(630\) | −8.00000 | − | 4.00000i | −0.318728 | − | 0.159364i | ||||
\(631\) | 40.0000 | 1.59237 | 0.796187 | − | 0.605050i | \(-0.206847\pi\) | ||||
0.796187 | + | 0.605050i | \(0.206847\pi\) | |||||||
\(632\) | 8.00000i | 0.318223i | ||||||||
\(633\) | 4.00000i | 0.158986i | ||||||||
\(634\) | −2.00000 | −0.0794301 | ||||||||
\(635\) | −10.0000 | + | 20.0000i | −0.396838 | + | 0.793676i | ||||
\(636\) | −6.00000 | −0.237915 | ||||||||
\(637\) | − | 9.00000i | − | 0.356593i | ||||||
\(638\) | 60.0000i | 2.37542i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.00000 | + | 2.00000i | −0.0395285 | + | 0.0790569i | ||||
\(641\) | −18.0000 | −0.710957 | −0.355479 | − | 0.934684i | \(-0.615682\pi\) | ||||
−0.355479 | + | 0.934684i | \(0.615682\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 20.0000i | − | 0.788723i | −0.918955 | − | 0.394362i | \(-0.870966\pi\) | ||
0.918955 | − | 0.394362i | \(-0.129034\pi\) | |||||||
\(644\) | −24.0000 | −0.945732 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −8.00000 | −0.314756 | ||||||||
\(647\) | 6.00000i | 0.235884i | 0.993020 | + | 0.117942i | \(0.0376297\pi\) | ||||
−0.993020 | + | 0.117942i | \(0.962370\pi\) | |||||||
\(648\) | 1.00000i | 0.0392837i | ||||||||
\(649\) | −36.0000 | −1.41312 | ||||||||
\(650\) | 3.00000 | + | 4.00000i | 0.117670 | + | 0.156893i | ||||
\(651\) | −16.0000 | −0.627089 | ||||||||
\(652\) | 4.00000i | 0.156652i | ||||||||
\(653\) | − | 10.0000i | − | 0.391330i | −0.980671 | − | 0.195665i | \(-0.937313\pi\) | ||
0.980671 | − | 0.195665i | \(-0.0626866\pi\) | |||||||
\(654\) | −4.00000 | −0.156412 | ||||||||
\(655\) | −16.0000 | − | 8.00000i | −0.625172 | − | 0.312586i | ||||
\(656\) | 10.0000 | 0.390434 | ||||||||
\(657\) | − | 2.00000i | − | 0.0780274i | ||||||
\(658\) | − | 32.0000i | − | 1.24749i | ||||||
\(659\) | 32.0000 | 1.24654 | 0.623272 | − | 0.782006i | \(-0.285803\pi\) | ||||
0.623272 | + | 0.782006i | \(0.285803\pi\) | |||||||
\(660\) | −6.00000 | + | 12.0000i | −0.233550 | + | 0.467099i | ||||
\(661\) | −32.0000 | −1.24466 | −0.622328 | − | 0.782757i | \(-0.713813\pi\) | ||||
−0.622328 | + | 0.782757i | \(0.713813\pi\) | |||||||
\(662\) | − | 2.00000i | − | 0.0777322i | ||||||
\(663\) | − | 4.00000i | − | 0.155347i | ||||||
\(664\) | 4.00000 | 0.155230 | ||||||||
\(665\) | 8.00000 | − | 16.0000i | 0.310227 | − | 0.620453i | ||||
\(666\) | −6.00000 | −0.232495 | ||||||||
\(667\) | − | 60.0000i | − | 2.32321i | ||||||
\(668\) | − | 16.0000i | − | 0.619059i | ||||||
\(669\) | −8.00000 | −0.309298 | ||||||||
\(670\) | 24.0000 | + | 12.0000i | 0.927201 | + | 0.463600i | ||||
\(671\) | 36.0000 | 1.38976 | ||||||||
\(672\) | 4.00000i | 0.154303i | ||||||||
\(673\) | 44.0000i | 1.69608i | 0.529936 | + | 0.848038i | \(0.322216\pi\) | ||||
−0.529936 | + | 0.848038i | \(0.677784\pi\) | |||||||
\(674\) | −16.0000 | −0.616297 | ||||||||
\(675\) | 4.00000 | − | 3.00000i | 0.153960 | − | 0.115470i | ||||
\(676\) | 1.00000 | 0.0384615 | ||||||||
\(677\) | − | 6.00000i | − | 0.230599i | −0.993331 | − | 0.115299i | \(-0.963217\pi\) | ||
0.993331 | − | 0.115299i | \(-0.0367827\pi\) | |||||||
\(678\) | − | 4.00000i | − | 0.153619i | ||||||
\(679\) | 56.0000 | 2.14908 | ||||||||
\(680\) | −8.00000 | − | 4.00000i | −0.306786 | − | 0.153393i | ||||
\(681\) | −4.00000 | −0.153280 | ||||||||
\(682\) | 24.0000i | 0.919007i | ||||||||
\(683\) | − | 20.0000i | − | 0.765279i | −0.923898 | − | 0.382639i | \(-0.875015\pi\) | ||
0.923898 | − | 0.382639i | \(-0.124985\pi\) | |||||||
\(684\) | −2.00000 | −0.0764719 | ||||||||
\(685\) | −14.0000 | + | 28.0000i | −0.534913 | + | 1.06983i | ||||
\(686\) | −8.00000 | −0.305441 | ||||||||
\(687\) | − | 8.00000i | − | 0.305219i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 6.00000 | 0.228582 | ||||||||
\(690\) | 6.00000 | − | 12.0000i | 0.228416 | − | 0.456832i | ||||
\(691\) | 18.0000 | 0.684752 | 0.342376 | − | 0.939563i | \(-0.388768\pi\) | ||||
0.342376 | + | 0.939563i | \(0.388768\pi\) | |||||||
\(692\) | 22.0000i | 0.836315i | ||||||||
\(693\) | 24.0000i | 0.911685i | ||||||||
\(694\) | −16.0000 | −0.607352 | ||||||||
\(695\) | −32.0000 | − | 16.0000i | −1.21383 | − | 0.606915i | ||||
\(696\) | −10.0000 | −0.379049 | ||||||||
\(697\) | 40.0000i | 1.51511i | ||||||||
\(698\) | − | 4.00000i | − | 0.151402i | ||||||
\(699\) | 12.0000 | 0.453882 | ||||||||
\(700\) | 16.0000 | − | 12.0000i | 0.604743 | − | 0.453557i | ||||
\(701\) | −6.00000 | −0.226617 | −0.113308 | − | 0.993560i | \(-0.536145\pi\) | ||||
−0.113308 | + | 0.993560i | \(0.536145\pi\) | |||||||
\(702\) | − | 1.00000i | − | 0.0377426i | ||||||
\(703\) | − | 12.0000i | − | 0.452589i | ||||||
\(704\) | 6.00000 | 0.226134 | ||||||||
\(705\) | 16.0000 | + | 8.00000i | 0.602595 | + | 0.301297i | ||||
\(706\) | −26.0000 | −0.978523 | ||||||||
\(707\) | 40.0000i | 1.50435i | ||||||||
\(708\) | − | 6.00000i | − | 0.225494i | ||||||
\(709\) | 8.00000 | 0.300446 | 0.150223 | − | 0.988652i | \(-0.452001\pi\) | ||||
0.150223 | + | 0.988652i | \(0.452001\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.00000 | −0.300023 | ||||||||
\(712\) | − | 14.0000i | − | 0.524672i | ||||||
\(713\) | − | 24.0000i | − | 0.898807i | ||||||
\(714\) | −16.0000 | −0.598785 | ||||||||
\(715\) | 6.00000 | − | 12.0000i | 0.224387 | − | 0.448775i | ||||
\(716\) | −24.0000 | −0.896922 | ||||||||
\(717\) | 4.00000i | 0.149383i | ||||||||
\(718\) | − | 20.0000i | − | 0.746393i | ||||||
\(719\) | −8.00000 | −0.298350 | −0.149175 | − | 0.988811i | \(-0.547662\pi\) | ||||
−0.149175 | + | 0.988811i | \(0.547662\pi\) | |||||||
\(720\) | −2.00000 | − | 1.00000i | −0.0745356 | − | 0.0372678i | ||||
\(721\) | 8.00000 | 0.297936 | ||||||||
\(722\) | 15.0000i | 0.558242i | ||||||||
\(723\) | 18.0000i | 0.669427i | ||||||||
\(724\) | −6.00000 | −0.222988 | ||||||||
\(725\) | 30.0000 | + | 40.0000i | 1.11417 | + | 1.48556i | ||||
\(726\) | 25.0000 | 0.927837 | ||||||||
\(727\) | − | 38.0000i | − | 1.40934i | −0.709534 | − | 0.704671i | \(-0.751095\pi\) | ||
0.709534 | − | 0.704671i | \(-0.248905\pi\) | |||||||
\(728\) | − | 4.00000i | − | 0.148250i | ||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 4.00000 | + | 2.00000i | 0.148047 | + | 0.0740233i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 6.00000i | 0.221766i | ||||||||
\(733\) | − | 18.0000i | − | 0.664845i | −0.943131 | − | 0.332423i | \(-0.892134\pi\) | ||
0.943131 | − | 0.332423i | \(-0.107866\pi\) | |||||||
\(734\) | 18.0000 | 0.664392 | ||||||||
\(735\) | 9.00000 | − | 18.0000i | 0.331970 | − | 0.663940i | ||||
\(736\) | −6.00000 | −0.221163 | ||||||||
\(737\) | − | 72.0000i | − | 2.65215i | ||||||
\(738\) | 10.0000i | 0.368105i | ||||||||
\(739\) | 2.00000 | 0.0735712 | 0.0367856 | − | 0.999323i | \(-0.488288\pi\) | ||||
0.0367856 | + | 0.999323i | \(0.488288\pi\) | |||||||
\(740\) | 6.00000 | − | 12.0000i | 0.220564 | − | 0.441129i | ||||
\(741\) | 2.00000 | 0.0734718 | ||||||||
\(742\) | − | 24.0000i | − | 0.881068i | ||||||
\(743\) | − | 36.0000i | − | 1.32071i | −0.750953 | − | 0.660356i | \(-0.770405\pi\) | ||
0.750953 | − | 0.660356i | \(-0.229595\pi\) | |||||||
\(744\) | −4.00000 | −0.146647 | ||||||||
\(745\) | −32.0000 | − | 16.0000i | −1.17239 | − | 0.586195i | ||||
\(746\) | −18.0000 | −0.659027 | ||||||||
\(747\) | 4.00000i | 0.146352i | ||||||||
\(748\) | 24.0000i | 0.877527i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 2.00000 | + | 11.0000i | 0.0730297 | + | 0.401663i | ||||
\(751\) | −48.0000 | −1.75154 | −0.875772 | − | 0.482724i | \(-0.839647\pi\) | ||||
−0.875772 | + | 0.482724i | \(0.839647\pi\) | |||||||
\(752\) | − | 8.00000i | − | 0.291730i | ||||||
\(753\) | − | 20.0000i | − | 0.728841i | ||||||
\(754\) | 10.0000 | 0.364179 | ||||||||
\(755\) | 32.0000 | + | 16.0000i | 1.16460 | + | 0.582300i | ||||
\(756\) | −4.00000 | −0.145479 | ||||||||
\(757\) | 22.0000i | 0.799604i | 0.916602 | + | 0.399802i | \(0.130921\pi\) | ||||
−0.916602 | + | 0.399802i | \(0.869079\pi\) | |||||||
\(758\) | 10.0000i | 0.363216i | ||||||||
\(759\) | −36.0000 | −1.30672 | ||||||||
\(760\) | 2.00000 | − | 4.00000i | 0.0725476 | − | 0.145095i | ||||
\(761\) | 30.0000 | 1.08750 | 0.543750 | − | 0.839248i | \(-0.317004\pi\) | ||||
0.543750 | + | 0.839248i | \(0.317004\pi\) | |||||||
\(762\) | 10.0000i | 0.362262i | ||||||||
\(763\) | − | 16.0000i | − | 0.579239i | ||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 4.00000 | − | 8.00000i | 0.144620 | − | 0.289241i | ||||
\(766\) | 20.0000 | 0.722629 | ||||||||
\(767\) | 6.00000i | 0.216647i | ||||||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | −10.0000 | −0.360609 | −0.180305 | − | 0.983611i | \(-0.557708\pi\) | ||||
−0.180305 | + | 0.983611i | \(0.557708\pi\) | |||||||
\(770\) | −48.0000 | − | 24.0000i | −1.72980 | − | 0.864900i | ||||
\(771\) | 28.0000 | 1.00840 | ||||||||
\(772\) | 2.00000i | 0.0719816i | ||||||||
\(773\) | − | 18.0000i | − | 0.647415i | −0.946157 | − | 0.323708i | \(-0.895071\pi\) | ||
0.946157 | − | 0.323708i | \(-0.104929\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.0000 | + | 16.0000i | 0.431053 | + | 0.574737i | ||||
\(776\) | 14.0000 | 0.502571 | ||||||||
\(777\) | − | 24.0000i | − | 0.860995i | ||||||
\(778\) | 30.0000i | 1.07555i | ||||||||
\(779\) | −20.0000 | −0.716574 | ||||||||
\(780\) | 2.00000 | + | 1.00000i | 0.0716115 | + | 0.0358057i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 24.0000i | − | 0.858238i | ||||||
\(783\) | − | 10.0000i | − | 0.357371i | ||||||
\(784\) | −9.00000 | −0.321429 | ||||||||
\(785\) | 6.00000 | − | 12.0000i | 0.214149 | − | 0.428298i | ||||
\(786\) | −8.00000 | −0.285351 | ||||||||
\(787\) | 12.0000i | 0.427754i | 0.976861 | + | 0.213877i | \(0.0686091\pi\) | ||||
−0.976861 | + | 0.213877i | \(0.931391\pi\) | |||||||
\(788\) | − | 6.00000i | − | 0.213741i | ||||||
\(789\) | 10.0000 | 0.356009 | ||||||||
\(790\) | 8.00000 | − | 16.0000i | 0.284627 | − | 0.569254i | ||||
\(791\) | 16.0000 | 0.568895 | ||||||||
\(792\) | 6.00000i | 0.213201i | ||||||||
\(793\) | − | 6.00000i | − | 0.213066i | ||||||
\(794\) | 10.0000 | 0.354887 | ||||||||
\(795\) | 12.0000 | + | 6.00000i | 0.425596 | + | 0.212798i | ||||
\(796\) | −8.00000 | −0.283552 | ||||||||
\(797\) | 30.0000i | 1.06265i | 0.847167 | + | 0.531327i | \(0.178307\pi\) | ||||
−0.847167 | + | 0.531327i | \(0.821693\pi\) | |||||||
\(798\) | − | 8.00000i | − | 0.283197i | ||||||
\(799\) | 32.0000 | 1.13208 | ||||||||
\(800\) | 4.00000 | − | 3.00000i | 0.141421 | − | 0.106066i | ||||
\(801\) | 14.0000 | 0.494666 | ||||||||
\(802\) | − | 30.0000i | − | 1.05934i | ||||||
\(803\) | − | 12.0000i | − | 0.423471i | ||||||
\(804\) | 12.0000 | 0.423207 | ||||||||
\(805\) | 48.0000 | + | 24.0000i | 1.69178 | + | 0.845889i | ||||
\(806\) | 4.00000 | 0.140894 | ||||||||
\(807\) | − | 10.0000i | − | 0.352017i | ||||||
\(808\) | 10.0000i | 0.351799i | ||||||||
\(809\) | 2.00000 | 0.0703163 | 0.0351581 | − | 0.999382i | \(-0.488807\pi\) | ||||
0.0351581 | + | 0.999382i | \(0.488807\pi\) | |||||||
\(810\) | 1.00000 | − | 2.00000i | 0.0351364 | − | 0.0702728i | ||||
\(811\) | −50.0000 | −1.75574 | −0.877869 | − | 0.478901i | \(-0.841035\pi\) | ||||
−0.877869 | + | 0.478901i | \(0.841035\pi\) | |||||||
\(812\) | − | 40.0000i | − | 1.40372i | ||||||
\(813\) | − | 8.00000i | − | 0.280572i | ||||||
\(814\) | −36.0000 | −1.26180 | ||||||||
\(815\) | 4.00000 | − | 8.00000i | 0.140114 | − | 0.280228i | ||||
\(816\) | −4.00000 | −0.140028 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | − | 34.0000i | − | 1.18878i | ||||||
\(819\) | 4.00000 | 0.139771 | ||||||||
\(820\) | −20.0000 | − | 10.0000i | −0.698430 | − | 0.349215i | ||||
\(821\) | −28.0000 | −0.977207 | −0.488603 | − | 0.872506i | \(-0.662493\pi\) | ||||
−0.488603 | + | 0.872506i | \(0.662493\pi\) | |||||||
\(822\) | 14.0000i | 0.488306i | ||||||||
\(823\) | − | 14.0000i | − | 0.488009i | −0.969774 | − | 0.244005i | \(-0.921539\pi\) | ||
0.969774 | − | 0.244005i | \(-0.0784612\pi\) | |||||||
\(824\) | 2.00000 | 0.0696733 | ||||||||
\(825\) | 24.0000 | − | 18.0000i | 0.835573 | − | 0.626680i | ||||
\(826\) | 24.0000 | 0.835067 | ||||||||
\(827\) | 44.0000i | 1.53003i | 0.644013 | + | 0.765015i | \(0.277268\pi\) | ||||
−0.644013 | + | 0.765015i | \(0.722732\pi\) | |||||||
\(828\) | − | 6.00000i | − | 0.208514i | ||||||
\(829\) | −26.0000 | −0.903017 | −0.451509 | − | 0.892267i | \(-0.649114\pi\) | ||||
−0.451509 | + | 0.892267i | \(0.649114\pi\) | |||||||
\(830\) | −8.00000 | − | 4.00000i | −0.277684 | − | 0.138842i | ||||
\(831\) | −14.0000 | −0.485655 | ||||||||
\(832\) | − | 1.00000i | − | 0.0346688i | ||||||
\(833\) | − | 36.0000i | − | 1.24733i | ||||||
\(834\) | −16.0000 | −0.554035 | ||||||||
\(835\) | −16.0000 | + | 32.0000i | −0.553703 | + | 1.10741i | ||||
\(836\) | −12.0000 | −0.415029 | ||||||||
\(837\) | − | 4.00000i | − | 0.138260i | ||||||
\(838\) | 8.00000i | 0.276355i | ||||||||
\(839\) | −40.0000 | −1.38095 | −0.690477 | − | 0.723355i | \(-0.742599\pi\) | ||||
−0.690477 | + | 0.723355i | \(0.742599\pi\) | |||||||
\(840\) | 4.00000 | − | 8.00000i | 0.138013 | − | 0.276026i | ||||
\(841\) | 71.0000 | 2.44828 | ||||||||
\(842\) | − | 4.00000i | − | 0.137849i | ||||||
\(843\) | − | 18.0000i | − | 0.619953i | ||||||
\(844\) | −4.00000 | −0.137686 | ||||||||
\(845\) | −2.00000 | − | 1.00000i | −0.0688021 | − | 0.0344010i | ||||
\(846\) | 8.00000 | 0.275046 | ||||||||
\(847\) | 100.000i | 3.43604i | ||||||||
\(848\) | − | 6.00000i | − | 0.206041i | ||||||
\(849\) | 12.0000 | 0.411839 | ||||||||
\(850\) | 12.0000 | + | 16.0000i | 0.411597 | + | 0.548795i | ||||
\(851\) | 36.0000 | 1.23406 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 26.0000i | − | 0.890223i | −0.895475 | − | 0.445112i | \(-0.853164\pi\) | ||
0.895475 | − | 0.445112i | \(-0.146836\pi\) | |||||||
\(854\) | −24.0000 | −0.821263 | ||||||||
\(855\) | 4.00000 | + | 2.00000i | 0.136797 | + | 0.0683986i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(858\) | − | 6.00000i | − | 0.204837i | ||||||
\(859\) | −28.0000 | −0.955348 | −0.477674 | − | 0.878537i | \(-0.658520\pi\) | ||||
−0.477674 | + | 0.878537i | \(0.658520\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −40.0000 | −1.36320 | ||||||||
\(862\) | 16.0000i | 0.544962i | ||||||||
\(863\) | 24.0000i | 0.816970i | 0.912765 | + | 0.408485i | \(0.133943\pi\) | ||||
−0.912765 | + | 0.408485i | \(0.866057\pi\) | |||||||
\(864\) | −1.00000 | −0.0340207 | ||||||||
\(865\) | 22.0000 | − | 44.0000i | 0.748022 | − | 1.49604i | ||||
\(866\) | 16.0000 | 0.543702 | ||||||||
\(867\) | 1.00000i | 0.0339618i | ||||||||
\(868\) | − | 16.0000i | − | 0.543075i | ||||||
\(869\) | −48.0000 | −1.62829 | ||||||||
\(870\) | 20.0000 | + | 10.0000i | 0.678064 | + | 0.339032i | ||||
\(871\) | −12.0000 | −0.406604 | ||||||||
\(872\) | − | 4.00000i | − | 0.135457i | ||||||
\(873\) | 14.0000i | 0.473828i | ||||||||
\(874\) | 12.0000 | 0.405906 | ||||||||
\(875\) | −44.0000 | + | 8.00000i | −1.48747 | + | 0.270449i | ||||
\(876\) | 2.00000 | 0.0675737 | ||||||||
\(877\) | − | 18.0000i | − | 0.607817i | −0.952701 | − | 0.303908i | \(-0.901708\pi\) | ||
0.952701 | − | 0.303908i | \(-0.0982917\pi\) | |||||||
\(878\) | − | 32.0000i | − | 1.07995i | ||||||
\(879\) | −18.0000 | −0.607125 | ||||||||
\(880\) | −12.0000 | − | 6.00000i | −0.404520 | − | 0.202260i | ||||
\(881\) | −30.0000 | −1.01073 | −0.505363 | − | 0.862907i | \(-0.668641\pi\) | ||||
−0.505363 | + | 0.862907i | \(0.668641\pi\) | |||||||
\(882\) | − | 9.00000i | − | 0.303046i | ||||||
\(883\) | 40.0000i | 1.34611i | 0.739594 | + | 0.673054i | \(0.235018\pi\) | ||||
−0.739594 | + | 0.673054i | \(0.764982\pi\) | |||||||
\(884\) | 4.00000 | 0.134535 | ||||||||
\(885\) | −6.00000 | + | 12.0000i | −0.201688 | + | 0.403376i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 6.00000i | 0.201460i | 0.994914 | + | 0.100730i | \(0.0321179\pi\) | ||||
−0.994914 | + | 0.100730i | \(0.967882\pi\) | |||||||
\(888\) | − | 6.00000i | − | 0.201347i | ||||||
\(889\) | −40.0000 | −1.34156 | ||||||||
\(890\) | −14.0000 | + | 28.0000i | −0.469281 | + | 0.938562i | ||||
\(891\) | −6.00000 | −0.201008 | ||||||||
\(892\) | − | 8.00000i | − | 0.267860i | ||||||
\(893\) | 16.0000i | 0.535420i | ||||||||
\(894\) | −16.0000 | −0.535120 | ||||||||
\(895\) | 48.0000 | + | 24.0000i | 1.60446 | + | 0.802232i | ||||
\(896\) | −4.00000 | −0.133631 | ||||||||
\(897\) | 6.00000i | 0.200334i | ||||||||
\(898\) | 38.0000i | 1.26808i | ||||||||
\(899\) | 40.0000 | 1.33407 | ||||||||
\(900\) | 3.00000 | + | 4.00000i | 0.100000 | + | 0.133333i | ||||
\(901\) | 24.0000 | 0.799556 | ||||||||
\(902\) | 60.0000i | 1.99778i | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.00000 | 0.133038 | ||||||||
\(905\) | 12.0000 | + | 6.00000i | 0.398893 | + | 0.199447i | ||||
\(906\) | 16.0000 | 0.531564 | ||||||||
\(907\) | − | 40.0000i | − | 1.32818i | −0.747653 | − | 0.664089i | \(-0.768820\pi\) | ||
0.747653 | − | 0.664089i | \(-0.231180\pi\) | |||||||
\(908\) | − | 4.00000i | − | 0.132745i | ||||||
\(909\) | −10.0000 | −0.331679 | ||||||||
\(910\) | −4.00000 | + | 8.00000i | −0.132599 | + | 0.265197i | ||||
\(911\) | −48.0000 | −1.59031 | −0.795155 | − | 0.606406i | \(-0.792611\pi\) | ||||
−0.795155 | + | 0.606406i | \(0.792611\pi\) | |||||||
\(912\) | − | 2.00000i | − | 0.0662266i | ||||||
\(913\) | 24.0000i | 0.794284i | ||||||||
\(914\) | −14.0000 | −0.463079 | ||||||||
\(915\) | 6.00000 | − | 12.0000i | 0.198354 | − | 0.396708i | ||||
\(916\) | 8.00000 | 0.264327 | ||||||||
\(917\) | − | 32.0000i | − | 1.05673i | ||||||
\(918\) | − | 4.00000i | − | 0.132020i | ||||||
\(919\) | 56.0000 | 1.84727 | 0.923635 | − | 0.383274i | \(-0.125203\pi\) | ||||
0.923635 | + | 0.383274i | \(0.125203\pi\) | |||||||
\(920\) | 12.0000 | + | 6.00000i | 0.395628 | + | 0.197814i | ||||
\(921\) | −4.00000 | −0.131804 | ||||||||
\(922\) | 4.00000i | 0.131733i | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −24.0000 | −0.789542 | ||||||||
\(925\) | −24.0000 | + | 18.0000i | −0.789115 | + | 0.591836i | ||||
\(926\) | 4.00000 | 0.131448 | ||||||||
\(927\) | 2.00000i | 0.0656886i | ||||||||
\(928\) | − | 10.0000i | − | 0.328266i | ||||||
\(929\) | −46.0000 | −1.50921 | −0.754606 | − | 0.656179i | \(-0.772172\pi\) | ||||
−0.754606 | + | 0.656179i | \(0.772172\pi\) | |||||||
\(930\) | 8.00000 | + | 4.00000i | 0.262330 | + | 0.131165i | ||||
\(931\) | 18.0000 | 0.589926 | ||||||||
\(932\) | 12.0000i | 0.393073i | ||||||||
\(933\) | − | 8.00000i | − | 0.261908i | ||||||
\(934\) | −8.00000 | −0.261768 | ||||||||
\(935\) | 24.0000 | − | 48.0000i | 0.784884 | − | 1.56977i | ||||
\(936\) | 1.00000 | 0.0326860 | ||||||||
\(937\) | − | 48.0000i | − | 1.56809i | −0.620703 | − | 0.784046i | \(-0.713153\pi\) | ||
0.620703 | − | 0.784046i | \(-0.286847\pi\) | |||||||
\(938\) | 48.0000i | 1.56726i | ||||||||
\(939\) | 8.00000 | 0.261070 | ||||||||
\(940\) | −8.00000 | + | 16.0000i | −0.260931 | + | 0.521862i | ||||
\(941\) | −8.00000 | −0.260793 | −0.130396 | − | 0.991462i | \(-0.541625\pi\) | ||||
−0.130396 | + | 0.991462i | \(0.541625\pi\) | |||||||
\(942\) | − | 6.00000i | − | 0.195491i | ||||||
\(943\) | − | 60.0000i | − | 1.95387i | ||||||
\(944\) | 6.00000 | 0.195283 | ||||||||
\(945\) | 8.00000 | + | 4.00000i | 0.260240 | + | 0.130120i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 12.0000i | − | 0.389948i | −0.980808 | − | 0.194974i | \(-0.937538\pi\) | ||
0.980808 | − | 0.194974i | \(-0.0624622\pi\) | |||||||
\(948\) | − | 8.00000i | − | 0.259828i | ||||||
\(949\) | −2.00000 | −0.0649227 | ||||||||
\(950\) | −8.00000 | + | 6.00000i | −0.259554 | + | 0.194666i | ||||
\(951\) | 2.00000 | 0.0648544 | ||||||||
\(952\) | − | 16.0000i | − | 0.518563i | ||||||
\(953\) | − | 24.0000i | − | 0.777436i | −0.921357 | − | 0.388718i | \(-0.872918\pi\) | ||
0.921357 | − | 0.388718i | \(-0.127082\pi\) | |||||||
\(954\) | 6.00000 | 0.194257 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −4.00000 | −0.129369 | ||||||||
\(957\) | − | 60.0000i | − | 1.93952i | ||||||
\(958\) | − | 20.0000i | − | 0.646171i | ||||||
\(959\) | −56.0000 | −1.80833 | ||||||||
\(960\) | 1.00000 | − | 2.00000i | 0.0322749 | − | 0.0645497i | ||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | 6.00000i | 0.193448i | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −18.0000 | −0.579741 | ||||||||
\(965\) | 2.00000 | − | 4.00000i | 0.0643823 | − | 0.128765i | ||||
\(966\) | 24.0000 | 0.772187 | ||||||||
\(967\) | 4.00000i | 0.128631i | 0.997930 | + | 0.0643157i | \(0.0204865\pi\) | ||||
−0.997930 | + | 0.0643157i | \(0.979514\pi\) | |||||||
\(968\) | 25.0000i | 0.803530i | ||||||||
\(969\) | 8.00000 | 0.256997 | ||||||||
\(970\) | −28.0000 | − | 14.0000i | −0.899026 | − | 0.449513i | ||||
\(971\) | −36.0000 | −1.15529 | −0.577647 | − | 0.816286i | \(-0.696029\pi\) | ||||
−0.577647 | + | 0.816286i | \(0.696029\pi\) | |||||||
\(972\) | − | 1.00000i | − | 0.0320750i | ||||||
\(973\) | − | 64.0000i | − | 2.05175i | ||||||
\(974\) | −32.0000 | −1.02535 | ||||||||
\(975\) | −3.00000 | − | 4.00000i | −0.0960769 | − | 0.128103i | ||||
\(976\) | −6.00000 | −0.192055 | ||||||||
\(977\) | − | 58.0000i | − | 1.85558i | −0.373097 | − | 0.927792i | \(-0.621704\pi\) | ||
0.373097 | − | 0.927792i | \(-0.378296\pi\) | |||||||
\(978\) | − | 4.00000i | − | 0.127906i | ||||||
\(979\) | 84.0000 | 2.68465 | ||||||||
\(980\) | 18.0000 | + | 9.00000i | 0.574989 | + | 0.287494i | ||||
\(981\) | 4.00000 | 0.127710 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | − | 28.0000i | − | 0.893061i | −0.894768 | − | 0.446531i | \(-0.852659\pi\) | ||
0.894768 | − | 0.446531i | \(-0.147341\pi\) | |||||||
\(984\) | −10.0000 | −0.318788 | ||||||||
\(985\) | −6.00000 | + | 12.0000i | −0.191176 | + | 0.382352i | ||||
\(986\) | 40.0000 | 1.27386 | ||||||||
\(987\) | 32.0000i | 1.01857i | ||||||||
\(988\) | 2.00000i | 0.0636285i | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 6.00000 | − | 12.0000i | 0.190693 | − | 0.381385i | ||||
\(991\) | −32.0000 | −1.01651 | −0.508257 | − | 0.861206i | \(-0.669710\pi\) | ||||
−0.508257 | + | 0.861206i | \(0.669710\pi\) | |||||||
\(992\) | − | 4.00000i | − | 0.127000i | ||||||
\(993\) | 2.00000i | 0.0634681i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 16.0000 | + | 8.00000i | 0.507234 | + | 0.253617i | ||||
\(996\) | −4.00000 | −0.126745 | ||||||||
\(997\) | 10.0000i | 0.316703i | 0.987383 | + | 0.158352i | \(0.0506179\pi\) | ||||
−0.987383 | + | 0.158352i | \(0.949382\pi\) | |||||||
\(998\) | − | 18.0000i | − | 0.569780i | ||||||
\(999\) | 6.00000 | 0.189832 |
(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 | 390.2.e.d.79.1 | ✓ | 2 | |
3.2 | odd | 2 | 1170.2.e.c.469.2 | 2 | |||
4.3 | odd | 2 | 3120.2.l.i.1249.1 | 2 | |||
5.2 | odd | 4 | 1950.2.a.v.1.1 | 1 | |||
5.3 | odd | 4 | 1950.2.a.d.1.1 | 1 | |||
5.4 | even | 2 | inner | 390.2.e.d.79.2 | yes | 2 | |
15.2 | even | 4 | 5850.2.a.e.1.1 | 1 | |||
15.8 | even | 4 | 5850.2.a.cc.1.1 | 1 | |||
15.14 | odd | 2 | 1170.2.e.c.469.1 | 2 | |||
20.19 | odd | 2 | 3120.2.l.i.1249.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.e.d.79.1 | ✓ | 2 | 1.1 | even | 1 | trivial | |
390.2.e.d.79.2 | yes | 2 | 5.4 | even | 2 | inner | |
1170.2.e.c.469.1 | 2 | 15.14 | odd | 2 | |||
1170.2.e.c.469.2 | 2 | 3.2 | odd | 2 | |||
1950.2.a.d.1.1 | 1 | 5.3 | odd | 4 | |||
1950.2.a.v.1.1 | 1 | 5.2 | odd | 4 | |||
3120.2.l.i.1249.1 | 2 | 4.3 | odd | 2 | |||
3120.2.l.i.1249.2 | 2 | 20.19 | odd | 2 | |||
5850.2.a.e.1.1 | 1 | 15.2 | even | 4 | |||
5850.2.a.cc.1.1 | 1 | 15.8 | even | 4 |