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.c.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 | ||||||||
\(7\) | − | 2.00000i | − | 0.755929i | −0.925820 | − | 0.377964i | \(-0.876624\pi\) | ||
0.925820 | − | 0.377964i | \(-0.123376\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −1.00000 | − | 2.00000i | −0.316228 | − | 0.632456i | ||||
\(11\) | 2.00000 | 0.603023 | 0.301511 | − | 0.953463i | \(-0.402509\pi\) | ||||
0.301511 | + | 0.953463i | \(0.402509\pi\) | |||||||
\(12\) | − | 1.00000i | − | 0.288675i | ||||||
\(13\) | − | 1.00000i | − | 0.277350i | ||||||
\(14\) | −2.00000 | −0.534522 | ||||||||
\(15\) | 1.00000 | + | 2.00000i | 0.258199 | + | 0.516398i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 2.00000i | − | 0.485071i | −0.970143 | − | 0.242536i | \(-0.922021\pi\) | ||
0.970143 | − | 0.242536i | \(-0.0779791\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | 4.00000 | 0.917663 | 0.458831 | − | 0.888523i | \(-0.348268\pi\) | ||||
0.458831 | + | 0.888523i | \(0.348268\pi\) | |||||||
\(20\) | −2.00000 | + | 1.00000i | −0.447214 | + | 0.223607i | ||||
\(21\) | 2.00000 | 0.436436 | ||||||||
\(22\) | − | 2.00000i | − | 0.426401i | ||||||
\(23\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 3.00000 | − | 4.00000i | 0.600000 | − | 0.800000i | ||||
\(26\) | −1.00000 | −0.196116 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 2.00000i | 0.377964i | ||||||||
\(29\) | −4.00000 | −0.742781 | −0.371391 | − | 0.928477i | \(-0.621119\pi\) | ||||
−0.371391 | + | 0.928477i | \(0.621119\pi\) | |||||||
\(30\) | 2.00000 | − | 1.00000i | 0.365148 | − | 0.182574i | ||||
\(31\) | 8.00000 | 1.43684 | 0.718421 | − | 0.695608i | \(-0.244865\pi\) | ||||
0.718421 | + | 0.695608i | \(0.244865\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 2.00000i | 0.348155i | ||||||||
\(34\) | −2.00000 | −0.342997 | ||||||||
\(35\) | −2.00000 | − | 4.00000i | −0.338062 | − | 0.676123i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | − | 6.00000i | − | 0.986394i | −0.869918 | − | 0.493197i | \(-0.835828\pi\) | ||
0.869918 | − | 0.493197i | \(-0.164172\pi\) | |||||||
\(38\) | − | 4.00000i | − | 0.648886i | ||||||
\(39\) | 1.00000 | 0.160128 | ||||||||
\(40\) | 1.00000 | + | 2.00000i | 0.158114 | + | 0.316228i | ||||
\(41\) | −6.00000 | −0.937043 | −0.468521 | − | 0.883452i | \(-0.655213\pi\) | ||||
−0.468521 | + | 0.883452i | \(0.655213\pi\) | |||||||
\(42\) | − | 2.00000i | − | 0.308607i | ||||||
\(43\) | 4.00000i | 0.609994i | 0.952353 | + | 0.304997i | \(0.0986555\pi\) | ||||
−0.952353 | + | 0.304997i | \(0.901344\pi\) | |||||||
\(44\) | −2.00000 | −0.301511 | ||||||||
\(45\) | −2.00000 | + | 1.00000i | −0.298142 | + | 0.149071i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 8.00000i | 1.16692i | 0.812142 | + | 0.583460i | \(0.198301\pi\) | ||||
−0.812142 | + | 0.583460i | \(0.801699\pi\) | |||||||
\(48\) | 1.00000i | 0.144338i | ||||||||
\(49\) | 3.00000 | 0.428571 | ||||||||
\(50\) | −4.00000 | − | 3.00000i | −0.565685 | − | 0.424264i | ||||
\(51\) | 2.00000 | 0.280056 | ||||||||
\(52\) | 1.00000i | 0.138675i | ||||||||
\(53\) | 2.00000i | 0.274721i | 0.990521 | + | 0.137361i | \(0.0438619\pi\) | ||||
−0.990521 | + | 0.137361i | \(0.956138\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | 4.00000 | − | 2.00000i | 0.539360 | − | 0.269680i | ||||
\(56\) | 2.00000 | 0.267261 | ||||||||
\(57\) | 4.00000i | 0.529813i | ||||||||
\(58\) | 4.00000i | 0.525226i | ||||||||
\(59\) | −10.0000 | −1.30189 | −0.650945 | − | 0.759125i | \(-0.725627\pi\) | ||||
−0.650945 | + | 0.759125i | \(0.725627\pi\) | |||||||
\(60\) | −1.00000 | − | 2.00000i | −0.129099 | − | 0.258199i | ||||
\(61\) | −14.0000 | −1.79252 | −0.896258 | − | 0.443533i | \(-0.853725\pi\) | ||||
−0.896258 | + | 0.443533i | \(0.853725\pi\) | |||||||
\(62\) | − | 8.00000i | − | 1.01600i | ||||||
\(63\) | 2.00000i | 0.251976i | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −1.00000 | − | 2.00000i | −0.124035 | − | 0.248069i | ||||
\(66\) | 2.00000 | 0.246183 | ||||||||
\(67\) | 16.0000i | 1.95471i | 0.211604 | + | 0.977356i | \(0.432131\pi\) | ||||
−0.211604 | + | 0.977356i | \(0.567869\pi\) | |||||||
\(68\) | 2.00000i | 0.242536i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.00000 | + | 2.00000i | −0.478091 | + | 0.239046i | ||||
\(71\) | −4.00000 | −0.474713 | −0.237356 | − | 0.971423i | \(-0.576281\pi\) | ||||
−0.237356 | + | 0.971423i | \(0.576281\pi\) | |||||||
\(72\) | − | 1.00000i | − | 0.117851i | ||||||
\(73\) | 8.00000i | 0.936329i | 0.883641 | + | 0.468165i | \(0.155085\pi\) | ||||
−0.883641 | + | 0.468165i | \(0.844915\pi\) | |||||||
\(74\) | −6.00000 | −0.697486 | ||||||||
\(75\) | 4.00000 | + | 3.00000i | 0.461880 | + | 0.346410i | ||||
\(76\) | −4.00000 | −0.458831 | ||||||||
\(77\) | − | 4.00000i | − | 0.455842i | ||||||
\(78\) | − | 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 | ||||||||
\(82\) | 6.00000i | 0.662589i | ||||||||
\(83\) | 12.0000i | 1.31717i | 0.752506 | + | 0.658586i | \(0.228845\pi\) | ||||
−0.752506 | + | 0.658586i | \(0.771155\pi\) | |||||||
\(84\) | −2.00000 | −0.218218 | ||||||||
\(85\) | −2.00000 | − | 4.00000i | −0.216930 | − | 0.433861i | ||||
\(86\) | 4.00000 | 0.431331 | ||||||||
\(87\) | − | 4.00000i | − | 0.428845i | ||||||
\(88\) | 2.00000i | 0.213201i | ||||||||
\(89\) | −6.00000 | −0.635999 | −0.317999 | − | 0.948091i | \(-0.603011\pi\) | ||||
−0.317999 | + | 0.948091i | \(0.603011\pi\) | |||||||
\(90\) | 1.00000 | + | 2.00000i | 0.105409 | + | 0.210819i | ||||
\(91\) | −2.00000 | −0.209657 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 8.00000i | 0.829561i | ||||||||
\(94\) | 8.00000 | 0.825137 | ||||||||
\(95\) | 8.00000 | − | 4.00000i | 0.820783 | − | 0.410391i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | − | 12.0000i | − | 1.21842i | −0.793011 | − | 0.609208i | \(-0.791488\pi\) | ||
0.793011 | − | 0.609208i | \(-0.208512\pi\) | |||||||
\(98\) | − | 3.00000i | − | 0.303046i | ||||||
\(99\) | −2.00000 | −0.201008 | ||||||||
\(100\) | −3.00000 | + | 4.00000i | −0.300000 | + | 0.400000i | ||||
\(101\) | 4.00000 | 0.398015 | 0.199007 | − | 0.979998i | \(-0.436228\pi\) | ||||
0.199007 | + | 0.979998i | \(0.436228\pi\) | |||||||
\(102\) | − | 2.00000i | − | 0.198030i | ||||||
\(103\) | 6.00000i | 0.591198i | 0.955312 | + | 0.295599i | \(0.0955191\pi\) | ||||
−0.955312 | + | 0.295599i | \(0.904481\pi\) | |||||||
\(104\) | 1.00000 | 0.0980581 | ||||||||
\(105\) | 4.00000 | − | 2.00000i | 0.390360 | − | 0.195180i | ||||
\(106\) | 2.00000 | 0.194257 | ||||||||
\(107\) | 4.00000i | 0.386695i | 0.981130 | + | 0.193347i | \(0.0619344\pi\) | ||||
−0.981130 | + | 0.193347i | \(0.938066\pi\) | |||||||
\(108\) | 1.00000i | 0.0962250i | ||||||||
\(109\) | 18.0000 | 1.72409 | 0.862044 | − | 0.506834i | \(-0.169184\pi\) | ||||
0.862044 | + | 0.506834i | \(0.169184\pi\) | |||||||
\(110\) | −2.00000 | − | 4.00000i | −0.190693 | − | 0.381385i | ||||
\(111\) | 6.00000 | 0.569495 | ||||||||
\(112\) | − | 2.00000i | − | 0.188982i | ||||||
\(113\) | 6.00000i | 0.564433i | 0.959351 | + | 0.282216i | \(0.0910696\pi\) | ||||
−0.959351 | + | 0.282216i | \(0.908930\pi\) | |||||||
\(114\) | 4.00000 | 0.374634 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.00000 | 0.371391 | ||||||||
\(117\) | 1.00000i | 0.0924500i | ||||||||
\(118\) | 10.0000i | 0.920575i | ||||||||
\(119\) | −4.00000 | −0.366679 | ||||||||
\(120\) | −2.00000 | + | 1.00000i | −0.182574 | + | 0.0912871i | ||||
\(121\) | −7.00000 | −0.636364 | ||||||||
\(122\) | 14.0000i | 1.26750i | ||||||||
\(123\) | − | 6.00000i | − | 0.541002i | ||||||
\(124\) | −8.00000 | −0.718421 | ||||||||
\(125\) | 2.00000 | − | 11.0000i | 0.178885 | − | 0.983870i | ||||
\(126\) | 2.00000 | 0.178174 | ||||||||
\(127\) | − | 6.00000i | − | 0.532414i | −0.963916 | − | 0.266207i | \(-0.914230\pi\) | ||
0.963916 | − | 0.266207i | \(-0.0857705\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −4.00000 | −0.352180 | ||||||||
\(130\) | −2.00000 | + | 1.00000i | −0.175412 | + | 0.0877058i | ||||
\(131\) | −6.00000 | −0.524222 | −0.262111 | − | 0.965038i | \(-0.584419\pi\) | ||||
−0.262111 | + | 0.965038i | \(0.584419\pi\) | |||||||
\(132\) | − | 2.00000i | − | 0.174078i | ||||||
\(133\) | − | 8.00000i | − | 0.693688i | ||||||
\(134\) | 16.0000 | 1.38219 | ||||||||
\(135\) | −1.00000 | − | 2.00000i | −0.0860663 | − | 0.172133i | ||||
\(136\) | 2.00000 | 0.171499 | ||||||||
\(137\) | 14.0000i | 1.19610i | 0.801459 | + | 0.598050i | \(0.204058\pi\) | ||||
−0.801459 | + | 0.598050i | \(0.795942\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.00000 | −0.339276 | −0.169638 | − | 0.985506i | \(-0.554260\pi\) | ||||
−0.169638 | + | 0.985506i | \(0.554260\pi\) | |||||||
\(140\) | 2.00000 | + | 4.00000i | 0.169031 | + | 0.338062i | ||||
\(141\) | −8.00000 | −0.673722 | ||||||||
\(142\) | 4.00000i | 0.335673i | ||||||||
\(143\) | − | 2.00000i | − | 0.167248i | ||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | −8.00000 | + | 4.00000i | −0.664364 | + | 0.332182i | ||||
\(146\) | 8.00000 | 0.662085 | ||||||||
\(147\) | 3.00000i | 0.247436i | ||||||||
\(148\) | 6.00000i | 0.493197i | ||||||||
\(149\) | −12.0000 | −0.983078 | −0.491539 | − | 0.870855i | \(-0.663566\pi\) | ||||
−0.491539 | + | 0.870855i | \(0.663566\pi\) | |||||||
\(150\) | 3.00000 | − | 4.00000i | 0.244949 | − | 0.326599i | ||||
\(151\) | −16.0000 | −1.30206 | −0.651031 | − | 0.759051i | \(-0.725663\pi\) | ||||
−0.651031 | + | 0.759051i | \(0.725663\pi\) | |||||||
\(152\) | 4.00000i | 0.324443i | ||||||||
\(153\) | 2.00000i | 0.161690i | ||||||||
\(154\) | −4.00000 | −0.322329 | ||||||||
\(155\) | 16.0000 | − | 8.00000i | 1.28515 | − | 0.642575i | ||||
\(156\) | −1.00000 | −0.0800641 | ||||||||
\(157\) | − | 10.0000i | − | 0.798087i | −0.916932 | − | 0.399043i | \(-0.869342\pi\) | ||
0.916932 | − | 0.399043i | \(-0.130658\pi\) | |||||||
\(158\) | − | 8.00000i | − | 0.636446i | ||||||
\(159\) | −2.00000 | −0.158610 | ||||||||
\(160\) | −1.00000 | − | 2.00000i | −0.0790569 | − | 0.158114i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | − | 8.00000i | − | 0.626608i | −0.949653 | − | 0.313304i | \(-0.898564\pi\) | ||
0.949653 | − | 0.313304i | \(-0.101436\pi\) | |||||||
\(164\) | 6.00000 | 0.468521 | ||||||||
\(165\) | 2.00000 | + | 4.00000i | 0.155700 | + | 0.311400i | ||||
\(166\) | 12.0000 | 0.931381 | ||||||||
\(167\) | − | 12.0000i | − | 0.928588i | −0.885681 | − | 0.464294i | \(-0.846308\pi\) | ||
0.885681 | − | 0.464294i | \(-0.153692\pi\) | |||||||
\(168\) | 2.00000i | 0.154303i | ||||||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | −4.00000 | + | 2.00000i | −0.306786 | + | 0.153393i | ||||
\(171\) | −4.00000 | −0.305888 | ||||||||
\(172\) | − | 4.00000i | − | 0.304997i | ||||||
\(173\) | 14.0000i | 1.06440i | 0.846619 | + | 0.532200i | \(0.178635\pi\) | ||||
−0.846619 | + | 0.532200i | \(0.821365\pi\) | |||||||
\(174\) | −4.00000 | −0.303239 | ||||||||
\(175\) | −8.00000 | − | 6.00000i | −0.604743 | − | 0.453557i | ||||
\(176\) | 2.00000 | 0.150756 | ||||||||
\(177\) | − | 10.0000i | − | 0.751646i | ||||||
\(178\) | 6.00000i | 0.449719i | ||||||||
\(179\) | 18.0000 | 1.34538 | 0.672692 | − | 0.739923i | \(-0.265138\pi\) | ||||
0.672692 | + | 0.739923i | \(0.265138\pi\) | |||||||
\(180\) | 2.00000 | − | 1.00000i | 0.149071 | − | 0.0745356i | ||||
\(181\) | −6.00000 | −0.445976 | −0.222988 | − | 0.974821i | \(-0.571581\pi\) | ||||
−0.222988 | + | 0.974821i | \(0.571581\pi\) | |||||||
\(182\) | 2.00000i | 0.148250i | ||||||||
\(183\) | − | 14.0000i | − | 1.03491i | ||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −6.00000 | − | 12.0000i | −0.441129 | − | 0.882258i | ||||
\(186\) | 8.00000 | 0.586588 | ||||||||
\(187\) | − | 4.00000i | − | 0.292509i | ||||||
\(188\) | − | 8.00000i | − | 0.583460i | ||||||
\(189\) | −2.00000 | −0.145479 | ||||||||
\(190\) | −4.00000 | − | 8.00000i | −0.290191 | − | 0.580381i | ||||
\(191\) | −12.0000 | −0.868290 | −0.434145 | − | 0.900843i | \(-0.642949\pi\) | ||||
−0.434145 | + | 0.900843i | \(0.642949\pi\) | |||||||
\(192\) | − | 1.00000i | − | 0.0721688i | ||||||
\(193\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(194\) | −12.0000 | −0.861550 | ||||||||
\(195\) | 2.00000 | − | 1.00000i | 0.143223 | − | 0.0716115i | ||||
\(196\) | −3.00000 | −0.214286 | ||||||||
\(197\) | − | 10.0000i | − | 0.712470i | −0.934396 | − | 0.356235i | \(-0.884060\pi\) | ||
0.934396 | − | 0.356235i | \(-0.115940\pi\) | |||||||
\(198\) | 2.00000i | 0.142134i | ||||||||
\(199\) | 24.0000 | 1.70131 | 0.850657 | − | 0.525720i | \(-0.176204\pi\) | ||||
0.850657 | + | 0.525720i | \(0.176204\pi\) | |||||||
\(200\) | 4.00000 | + | 3.00000i | 0.282843 | + | 0.212132i | ||||
\(201\) | −16.0000 | −1.12855 | ||||||||
\(202\) | − | 4.00000i | − | 0.281439i | ||||||
\(203\) | 8.00000i | 0.561490i | ||||||||
\(204\) | −2.00000 | −0.140028 | ||||||||
\(205\) | −12.0000 | + | 6.00000i | −0.838116 | + | 0.419058i | ||||
\(206\) | 6.00000 | 0.418040 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 1.00000i | − | 0.0693375i | ||||||
\(209\) | 8.00000 | 0.553372 | ||||||||
\(210\) | −2.00000 | − | 4.00000i | −0.138013 | − | 0.276026i | ||||
\(211\) | −4.00000 | −0.275371 | −0.137686 | − | 0.990476i | \(-0.543966\pi\) | ||||
−0.137686 | + | 0.990476i | \(0.543966\pi\) | |||||||
\(212\) | − | 2.00000i | − | 0.137361i | ||||||
\(213\) | − | 4.00000i | − | 0.274075i | ||||||
\(214\) | 4.00000 | 0.273434 | ||||||||
\(215\) | 4.00000 | + | 8.00000i | 0.272798 | + | 0.545595i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | − | 16.0000i | − | 1.08615i | ||||||
\(218\) | − | 18.0000i | − | 1.21911i | ||||||
\(219\) | −8.00000 | −0.540590 | ||||||||
\(220\) | −4.00000 | + | 2.00000i | −0.269680 | + | 0.134840i | ||||
\(221\) | −2.00000 | −0.134535 | ||||||||
\(222\) | − | 6.00000i | − | 0.402694i | ||||||
\(223\) | − | 14.0000i | − | 0.937509i | −0.883328 | − | 0.468755i | \(-0.844703\pi\) | ||
0.883328 | − | 0.468755i | \(-0.155297\pi\) | |||||||
\(224\) | −2.00000 | −0.133631 | ||||||||
\(225\) | −3.00000 | + | 4.00000i | −0.200000 | + | 0.266667i | ||||
\(226\) | 6.00000 | 0.399114 | ||||||||
\(227\) | − | 12.0000i | − | 0.796468i | −0.917284 | − | 0.398234i | \(-0.869623\pi\) | ||
0.917284 | − | 0.398234i | \(-0.130377\pi\) | |||||||
\(228\) | − | 4.00000i | − | 0.264906i | ||||||
\(229\) | 22.0000 | 1.45380 | 0.726900 | − | 0.686743i | \(-0.240960\pi\) | ||||
0.726900 | + | 0.686743i | \(0.240960\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.00000 | 0.263181 | ||||||||
\(232\) | − | 4.00000i | − | 0.262613i | ||||||
\(233\) | − | 14.0000i | − | 0.917170i | −0.888650 | − | 0.458585i | \(-0.848356\pi\) | ||
0.888650 | − | 0.458585i | \(-0.151644\pi\) | |||||||
\(234\) | 1.00000 | 0.0653720 | ||||||||
\(235\) | 8.00000 | + | 16.0000i | 0.521862 | + | 1.04372i | ||||
\(236\) | 10.0000 | 0.650945 | ||||||||
\(237\) | 8.00000i | 0.519656i | ||||||||
\(238\) | 4.00000i | 0.259281i | ||||||||
\(239\) | 12.0000 | 0.776215 | 0.388108 | − | 0.921614i | \(-0.373129\pi\) | ||||
0.388108 | + | 0.921614i | \(0.373129\pi\) | |||||||
\(240\) | 1.00000 | + | 2.00000i | 0.0645497 | + | 0.129099i | ||||
\(241\) | −18.0000 | −1.15948 | −0.579741 | − | 0.814801i | \(-0.696846\pi\) | ||||
−0.579741 | + | 0.814801i | \(0.696846\pi\) | |||||||
\(242\) | 7.00000i | 0.449977i | ||||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 14.0000 | 0.896258 | ||||||||
\(245\) | 6.00000 | − | 3.00000i | 0.383326 | − | 0.191663i | ||||
\(246\) | −6.00000 | −0.382546 | ||||||||
\(247\) | − | 4.00000i | − | 0.254514i | ||||||
\(248\) | 8.00000i | 0.508001i | ||||||||
\(249\) | −12.0000 | −0.760469 | ||||||||
\(250\) | −11.0000 | − | 2.00000i | −0.695701 | − | 0.126491i | ||||
\(251\) | 18.0000 | 1.13615 | 0.568075 | − | 0.822977i | \(-0.307688\pi\) | ||||
0.568075 | + | 0.822977i | \(0.307688\pi\) | |||||||
\(252\) | − | 2.00000i | − | 0.125988i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −6.00000 | −0.376473 | ||||||||
\(255\) | 4.00000 | − | 2.00000i | 0.250490 | − | 0.125245i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 18.0000i | 1.12281i | 0.827541 | + | 0.561405i | \(0.189739\pi\) | ||||
−0.827541 | + | 0.561405i | \(0.810261\pi\) | |||||||
\(258\) | 4.00000i | 0.249029i | ||||||||
\(259\) | −12.0000 | −0.745644 | ||||||||
\(260\) | 1.00000 | + | 2.00000i | 0.0620174 | + | 0.124035i | ||||
\(261\) | 4.00000 | 0.247594 | ||||||||
\(262\) | 6.00000i | 0.370681i | ||||||||
\(263\) | − | 8.00000i | − | 0.493301i | −0.969104 | − | 0.246651i | \(-0.920670\pi\) | ||
0.969104 | − | 0.246651i | \(-0.0793300\pi\) | |||||||
\(264\) | −2.00000 | −0.123091 | ||||||||
\(265\) | 2.00000 | + | 4.00000i | 0.122859 | + | 0.245718i | ||||
\(266\) | −8.00000 | −0.490511 | ||||||||
\(267\) | − | 6.00000i | − | 0.367194i | ||||||
\(268\) | − | 16.0000i | − | 0.977356i | ||||||
\(269\) | 20.0000 | 1.21942 | 0.609711 | − | 0.792624i | \(-0.291286\pi\) | ||||
0.609711 | + | 0.792624i | \(0.291286\pi\) | |||||||
\(270\) | −2.00000 | + | 1.00000i | −0.121716 | + | 0.0608581i | ||||
\(271\) | 16.0000 | 0.971931 | 0.485965 | − | 0.873978i | \(-0.338468\pi\) | ||||
0.485965 | + | 0.873978i | \(0.338468\pi\) | |||||||
\(272\) | − | 2.00000i | − | 0.121268i | ||||||
\(273\) | − | 2.00000i | − | 0.121046i | ||||||
\(274\) | 14.0000 | 0.845771 | ||||||||
\(275\) | 6.00000 | − | 8.00000i | 0.361814 | − | 0.482418i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.00000i | 0.120168i | 0.998193 | + | 0.0600842i | \(0.0191369\pi\) | ||||
−0.998193 | + | 0.0600842i | \(0.980863\pi\) | |||||||
\(278\) | 4.00000i | 0.239904i | ||||||||
\(279\) | −8.00000 | −0.478947 | ||||||||
\(280\) | 4.00000 | − | 2.00000i | 0.239046 | − | 0.119523i | ||||
\(281\) | −18.0000 | −1.07379 | −0.536895 | − | 0.843649i | \(-0.680403\pi\) | ||||
−0.536895 | + | 0.843649i | \(0.680403\pi\) | |||||||
\(282\) | 8.00000i | 0.476393i | ||||||||
\(283\) | 16.0000i | 0.951101i | 0.879688 | + | 0.475551i | \(0.157751\pi\) | ||||
−0.879688 | + | 0.475551i | \(0.842249\pi\) | |||||||
\(284\) | 4.00000 | 0.237356 | ||||||||
\(285\) | 4.00000 | + | 8.00000i | 0.236940 | + | 0.473879i | ||||
\(286\) | −2.00000 | −0.118262 | ||||||||
\(287\) | 12.0000i | 0.708338i | ||||||||
\(288\) | 1.00000i | 0.0589256i | ||||||||
\(289\) | 13.0000 | 0.764706 | ||||||||
\(290\) | 4.00000 | + | 8.00000i | 0.234888 | + | 0.469776i | ||||
\(291\) | 12.0000 | 0.703452 | ||||||||
\(292\) | − | 8.00000i | − | 0.468165i | ||||||
\(293\) | 26.0000i | 1.51894i | 0.650545 | + | 0.759468i | \(0.274541\pi\) | ||||
−0.650545 | + | 0.759468i | \(0.725459\pi\) | |||||||
\(294\) | 3.00000 | 0.174964 | ||||||||
\(295\) | −20.0000 | + | 10.0000i | −1.16445 | + | 0.582223i | ||||
\(296\) | 6.00000 | 0.348743 | ||||||||
\(297\) | − | 2.00000i | − | 0.116052i | ||||||
\(298\) | 12.0000i | 0.695141i | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −4.00000 | − | 3.00000i | −0.230940 | − | 0.173205i | ||||
\(301\) | 8.00000 | 0.461112 | ||||||||
\(302\) | 16.0000i | 0.920697i | ||||||||
\(303\) | 4.00000i | 0.229794i | ||||||||
\(304\) | 4.00000 | 0.229416 | ||||||||
\(305\) | −28.0000 | + | 14.0000i | −1.60328 | + | 0.801638i | ||||
\(306\) | 2.00000 | 0.114332 | ||||||||
\(307\) | 28.0000i | 1.59804i | 0.601302 | + | 0.799022i | \(0.294649\pi\) | ||||
−0.601302 | + | 0.799022i | \(0.705351\pi\) | |||||||
\(308\) | 4.00000i | 0.227921i | ||||||||
\(309\) | −6.00000 | −0.341328 | ||||||||
\(310\) | −8.00000 | − | 16.0000i | −0.454369 | − | 0.908739i | ||||
\(311\) | 20.0000 | 1.13410 | 0.567048 | − | 0.823685i | \(-0.308085\pi\) | ||||
0.567048 | + | 0.823685i | \(0.308085\pi\) | |||||||
\(312\) | 1.00000i | 0.0566139i | ||||||||
\(313\) | − | 20.0000i | − | 1.13047i | −0.824931 | − | 0.565233i | \(-0.808786\pi\) | ||
0.824931 | − | 0.565233i | \(-0.191214\pi\) | |||||||
\(314\) | −10.0000 | −0.564333 | ||||||||
\(315\) | 2.00000 | + | 4.00000i | 0.112687 | + | 0.225374i | ||||
\(316\) | −8.00000 | −0.450035 | ||||||||
\(317\) | 18.0000i | 1.01098i | 0.862832 | + | 0.505490i | \(0.168688\pi\) | ||||
−0.862832 | + | 0.505490i | \(0.831312\pi\) | |||||||
\(318\) | 2.00000i | 0.112154i | ||||||||
\(319\) | −8.00000 | −0.447914 | ||||||||
\(320\) | −2.00000 | + | 1.00000i | −0.111803 | + | 0.0559017i | ||||
\(321\) | −4.00000 | −0.223258 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 8.00000i | − | 0.445132i | ||||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −4.00000 | − | 3.00000i | −0.221880 | − | 0.166410i | ||||
\(326\) | −8.00000 | −0.443079 | ||||||||
\(327\) | 18.0000i | 0.995402i | ||||||||
\(328\) | − | 6.00000i | − | 0.331295i | ||||||
\(329\) | 16.0000 | 0.882109 | ||||||||
\(330\) | 4.00000 | − | 2.00000i | 0.220193 | − | 0.110096i | ||||
\(331\) | −12.0000 | −0.659580 | −0.329790 | − | 0.944054i | \(-0.606978\pi\) | ||||
−0.329790 | + | 0.944054i | \(0.606978\pi\) | |||||||
\(332\) | − | 12.0000i | − | 0.658586i | ||||||
\(333\) | 6.00000i | 0.328798i | ||||||||
\(334\) | −12.0000 | −0.656611 | ||||||||
\(335\) | 16.0000 | + | 32.0000i | 0.874173 | + | 1.74835i | ||||
\(336\) | 2.00000 | 0.109109 | ||||||||
\(337\) | − | 20.0000i | − | 1.08947i | −0.838608 | − | 0.544735i | \(-0.816630\pi\) | ||
0.838608 | − | 0.544735i | \(-0.183370\pi\) | |||||||
\(338\) | 1.00000i | 0.0543928i | ||||||||
\(339\) | −6.00000 | −0.325875 | ||||||||
\(340\) | 2.00000 | + | 4.00000i | 0.108465 | + | 0.216930i | ||||
\(341\) | 16.0000 | 0.866449 | ||||||||
\(342\) | 4.00000i | 0.216295i | ||||||||
\(343\) | − | 20.0000i | − | 1.07990i | ||||||
\(344\) | −4.00000 | −0.215666 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.0000 | 0.752645 | ||||||||
\(347\) | − | 12.0000i | − | 0.644194i | −0.946707 | − | 0.322097i | \(-0.895612\pi\) | ||
0.946707 | − | 0.322097i | \(-0.104388\pi\) | |||||||
\(348\) | 4.00000i | 0.214423i | ||||||||
\(349\) | −14.0000 | −0.749403 | −0.374701 | − | 0.927146i | \(-0.622255\pi\) | ||||
−0.374701 | + | 0.927146i | \(0.622255\pi\) | |||||||
\(350\) | −6.00000 | + | 8.00000i | −0.320713 | + | 0.427618i | ||||
\(351\) | −1.00000 | −0.0533761 | ||||||||
\(352\) | − | 2.00000i | − | 0.106600i | ||||||
\(353\) | − | 34.0000i | − | 1.80964i | −0.425797 | − | 0.904819i | \(-0.640006\pi\) | ||
0.425797 | − | 0.904819i | \(-0.359994\pi\) | |||||||
\(354\) | −10.0000 | −0.531494 | ||||||||
\(355\) | −8.00000 | + | 4.00000i | −0.424596 | + | 0.212298i | ||||
\(356\) | 6.00000 | 0.317999 | ||||||||
\(357\) | − | 4.00000i | − | 0.211702i | ||||||
\(358\) | − | 18.0000i | − | 0.951330i | ||||||
\(359\) | −32.0000 | −1.68890 | −0.844448 | − | 0.535638i | \(-0.820071\pi\) | ||||
−0.844448 | + | 0.535638i | \(0.820071\pi\) | |||||||
\(360\) | −1.00000 | − | 2.00000i | −0.0527046 | − | 0.105409i | ||||
\(361\) | −3.00000 | −0.157895 | ||||||||
\(362\) | 6.00000i | 0.315353i | ||||||||
\(363\) | − | 7.00000i | − | 0.367405i | ||||||
\(364\) | 2.00000 | 0.104828 | ||||||||
\(365\) | 8.00000 | + | 16.0000i | 0.418739 | + | 0.837478i | ||||
\(366\) | −14.0000 | −0.731792 | ||||||||
\(367\) | 10.0000i | 0.521996i | 0.965339 | + | 0.260998i | \(0.0840516\pi\) | ||||
−0.965339 | + | 0.260998i | \(0.915948\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 6.00000 | 0.312348 | ||||||||
\(370\) | −12.0000 | + | 6.00000i | −0.623850 | + | 0.311925i | ||||
\(371\) | 4.00000 | 0.207670 | ||||||||
\(372\) | − | 8.00000i | − | 0.414781i | ||||||
\(373\) | − | 22.0000i | − | 1.13912i | −0.821951 | − | 0.569558i | \(-0.807114\pi\) | ||
0.821951 | − | 0.569558i | \(-0.192886\pi\) | |||||||
\(374\) | −4.00000 | −0.206835 | ||||||||
\(375\) | 11.0000 | + | 2.00000i | 0.568038 | + | 0.103280i | ||||
\(376\) | −8.00000 | −0.412568 | ||||||||
\(377\) | 4.00000i | 0.206010i | ||||||||
\(378\) | 2.00000i | 0.102869i | ||||||||
\(379\) | −8.00000 | −0.410932 | −0.205466 | − | 0.978664i | \(-0.565871\pi\) | ||||
−0.205466 | + | 0.978664i | \(0.565871\pi\) | |||||||
\(380\) | −8.00000 | + | 4.00000i | −0.410391 | + | 0.205196i | ||||
\(381\) | 6.00000 | 0.307389 | ||||||||
\(382\) | 12.0000i | 0.613973i | ||||||||
\(383\) | 24.0000i | 1.22634i | 0.789950 | + | 0.613171i | \(0.210106\pi\) | ||||
−0.789950 | + | 0.613171i | \(0.789894\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | −4.00000 | − | 8.00000i | −0.203859 | − | 0.407718i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | − | 4.00000i | − | 0.203331i | ||||||
\(388\) | 12.0000i | 0.609208i | ||||||||
\(389\) | −16.0000 | −0.811232 | −0.405616 | − | 0.914044i | \(-0.632943\pi\) | ||||
−0.405616 | + | 0.914044i | \(0.632943\pi\) | |||||||
\(390\) | −1.00000 | − | 2.00000i | −0.0506370 | − | 0.101274i | ||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 3.00000i | 0.151523i | ||||||||
\(393\) | − | 6.00000i | − | 0.302660i | ||||||
\(394\) | −10.0000 | −0.503793 | ||||||||
\(395\) | 16.0000 | − | 8.00000i | 0.805047 | − | 0.402524i | ||||
\(396\) | 2.00000 | 0.100504 | ||||||||
\(397\) | 18.0000i | 0.903394i | 0.892171 | + | 0.451697i | \(0.149181\pi\) | ||||
−0.892171 | + | 0.451697i | \(0.850819\pi\) | |||||||
\(398\) | − | 24.0000i | − | 1.20301i | ||||||
\(399\) | 8.00000 | 0.400501 | ||||||||
\(400\) | 3.00000 | − | 4.00000i | 0.150000 | − | 0.200000i | ||||
\(401\) | −18.0000 | −0.898877 | −0.449439 | − | 0.893311i | \(-0.648376\pi\) | ||||
−0.449439 | + | 0.893311i | \(0.648376\pi\) | |||||||
\(402\) | 16.0000i | 0.798007i | ||||||||
\(403\) | − | 8.00000i | − | 0.398508i | ||||||
\(404\) | −4.00000 | −0.199007 | ||||||||
\(405\) | 2.00000 | − | 1.00000i | 0.0993808 | − | 0.0496904i | ||||
\(406\) | 8.00000 | 0.397033 | ||||||||
\(407\) | − | 12.0000i | − | 0.594818i | ||||||
\(408\) | 2.00000i | 0.0990148i | ||||||||
\(409\) | 26.0000 | 1.28562 | 0.642809 | − | 0.766027i | \(-0.277769\pi\) | ||||
0.642809 | + | 0.766027i | \(0.277769\pi\) | |||||||
\(410\) | 6.00000 | + | 12.0000i | 0.296319 | + | 0.592638i | ||||
\(411\) | −14.0000 | −0.690569 | ||||||||
\(412\) | − | 6.00000i | − | 0.295599i | ||||||
\(413\) | 20.0000i | 0.984136i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.0000 | + | 24.0000i | 0.589057 | + | 1.17811i | ||||
\(416\) | −1.00000 | −0.0490290 | ||||||||
\(417\) | − | 4.00000i | − | 0.195881i | ||||||
\(418\) | − | 8.00000i | − | 0.391293i | ||||||
\(419\) | 14.0000 | 0.683945 | 0.341972 | − | 0.939710i | \(-0.388905\pi\) | ||||
0.341972 | + | 0.939710i | \(0.388905\pi\) | |||||||
\(420\) | −4.00000 | + | 2.00000i | −0.195180 | + | 0.0975900i | ||||
\(421\) | 34.0000 | 1.65706 | 0.828529 | − | 0.559946i | \(-0.189178\pi\) | ||||
0.828529 | + | 0.559946i | \(0.189178\pi\) | |||||||
\(422\) | 4.00000i | 0.194717i | ||||||||
\(423\) | − | 8.00000i | − | 0.388973i | ||||||
\(424\) | −2.00000 | −0.0971286 | ||||||||
\(425\) | −8.00000 | − | 6.00000i | −0.388057 | − | 0.291043i | ||||
\(426\) | −4.00000 | −0.193801 | ||||||||
\(427\) | 28.0000i | 1.35501i | ||||||||
\(428\) | − | 4.00000i | − | 0.193347i | ||||||
\(429\) | 2.00000 | 0.0965609 | ||||||||
\(430\) | 8.00000 | − | 4.00000i | 0.385794 | − | 0.192897i | ||||
\(431\) | 16.0000 | 0.770693 | 0.385346 | − | 0.922772i | \(-0.374082\pi\) | ||||
0.385346 | + | 0.922772i | \(0.374082\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | 12.0000i | 0.576683i | 0.957528 | + | 0.288342i | \(0.0931039\pi\) | ||||
−0.957528 | + | 0.288342i | \(0.906896\pi\) | |||||||
\(434\) | −16.0000 | −0.768025 | ||||||||
\(435\) | −4.00000 | − | 8.00000i | −0.191785 | − | 0.383571i | ||||
\(436\) | −18.0000 | −0.862044 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 8.00000i | 0.382255i | ||||||||
\(439\) | −32.0000 | −1.52728 | −0.763638 | − | 0.645644i | \(-0.776589\pi\) | ||||
−0.763638 | + | 0.645644i | \(0.776589\pi\) | |||||||
\(440\) | 2.00000 | + | 4.00000i | 0.0953463 | + | 0.190693i | ||||
\(441\) | −3.00000 | −0.142857 | ||||||||
\(442\) | 2.00000i | 0.0951303i | ||||||||
\(443\) | 4.00000i | 0.190046i | 0.995475 | + | 0.0950229i | \(0.0302924\pi\) | ||||
−0.995475 | + | 0.0950229i | \(0.969708\pi\) | |||||||
\(444\) | −6.00000 | −0.284747 | ||||||||
\(445\) | −12.0000 | + | 6.00000i | −0.568855 | + | 0.284427i | ||||
\(446\) | −14.0000 | −0.662919 | ||||||||
\(447\) | − | 12.0000i | − | 0.567581i | ||||||
\(448\) | 2.00000i | 0.0944911i | ||||||||
\(449\) | −30.0000 | −1.41579 | −0.707894 | − | 0.706319i | \(-0.750354\pi\) | ||||
−0.707894 | + | 0.706319i | \(0.750354\pi\) | |||||||
\(450\) | 4.00000 | + | 3.00000i | 0.188562 | + | 0.141421i | ||||
\(451\) | −12.0000 | −0.565058 | ||||||||
\(452\) | − | 6.00000i | − | 0.282216i | ||||||
\(453\) | − | 16.0000i | − | 0.751746i | ||||||
\(454\) | −12.0000 | −0.563188 | ||||||||
\(455\) | −4.00000 | + | 2.00000i | −0.187523 | + | 0.0937614i | ||||
\(456\) | −4.00000 | −0.187317 | ||||||||
\(457\) | 28.0000i | 1.30978i | 0.755722 | + | 0.654892i | \(0.227286\pi\) | ||||
−0.755722 | + | 0.654892i | \(0.772714\pi\) | |||||||
\(458\) | − | 22.0000i | − | 1.02799i | ||||||
\(459\) | −2.00000 | −0.0933520 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 20.0000 | 0.931493 | 0.465746 | − | 0.884918i | \(-0.345786\pi\) | ||||
0.465746 | + | 0.884918i | \(0.345786\pi\) | |||||||
\(462\) | − | 4.00000i | − | 0.186097i | ||||||
\(463\) | 6.00000i | 0.278844i | 0.990233 | + | 0.139422i | \(0.0445244\pi\) | ||||
−0.990233 | + | 0.139422i | \(0.955476\pi\) | |||||||
\(464\) | −4.00000 | −0.185695 | ||||||||
\(465\) | 8.00000 | + | 16.0000i | 0.370991 | + | 0.741982i | ||||
\(466\) | −14.0000 | −0.648537 | ||||||||
\(467\) | − | 28.0000i | − | 1.29569i | −0.761774 | − | 0.647843i | \(-0.775671\pi\) | ||
0.761774 | − | 0.647843i | \(-0.224329\pi\) | |||||||
\(468\) | − | 1.00000i | − | 0.0462250i | ||||||
\(469\) | 32.0000 | 1.47762 | ||||||||
\(470\) | 16.0000 | − | 8.00000i | 0.738025 | − | 0.369012i | ||||
\(471\) | 10.0000 | 0.460776 | ||||||||
\(472\) | − | 10.0000i | − | 0.460287i | ||||||
\(473\) | 8.00000i | 0.367840i | ||||||||
\(474\) | 8.00000 | 0.367452 | ||||||||
\(475\) | 12.0000 | − | 16.0000i | 0.550598 | − | 0.734130i | ||||
\(476\) | 4.00000 | 0.183340 | ||||||||
\(477\) | − | 2.00000i | − | 0.0915737i | ||||||
\(478\) | − | 12.0000i | − | 0.548867i | ||||||
\(479\) | −36.0000 | −1.64488 | −0.822441 | − | 0.568850i | \(-0.807388\pi\) | ||||
−0.822441 | + | 0.568850i | \(0.807388\pi\) | |||||||
\(480\) | 2.00000 | − | 1.00000i | 0.0912871 | − | 0.0456435i | ||||
\(481\) | −6.00000 | −0.273576 | ||||||||
\(482\) | 18.0000i | 0.819878i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.00000 | 0.318182 | ||||||||
\(485\) | −12.0000 | − | 24.0000i | −0.544892 | − | 1.08978i | ||||
\(486\) | 1.00000 | 0.0453609 | ||||||||
\(487\) | 26.0000i | 1.17817i | 0.808070 | + | 0.589086i | \(0.200512\pi\) | ||||
−0.808070 | + | 0.589086i | \(0.799488\pi\) | |||||||
\(488\) | − | 14.0000i | − | 0.633750i | ||||||
\(489\) | 8.00000 | 0.361773 | ||||||||
\(490\) | −3.00000 | − | 6.00000i | −0.135526 | − | 0.271052i | ||||
\(491\) | −22.0000 | −0.992846 | −0.496423 | − | 0.868081i | \(-0.665354\pi\) | ||||
−0.496423 | + | 0.868081i | \(0.665354\pi\) | |||||||
\(492\) | 6.00000i | 0.270501i | ||||||||
\(493\) | 8.00000i | 0.360302i | ||||||||
\(494\) | −4.00000 | −0.179969 | ||||||||
\(495\) | −4.00000 | + | 2.00000i | −0.179787 | + | 0.0898933i | ||||
\(496\) | 8.00000 | 0.359211 | ||||||||
\(497\) | 8.00000i | 0.358849i | ||||||||
\(498\) | 12.0000i | 0.537733i | ||||||||
\(499\) | −36.0000 | −1.61158 | −0.805791 | − | 0.592200i | \(-0.798259\pi\) | ||||
−0.805791 | + | 0.592200i | \(0.798259\pi\) | |||||||
\(500\) | −2.00000 | + | 11.0000i | −0.0894427 | + | 0.491935i | ||||
\(501\) | 12.0000 | 0.536120 | ||||||||
\(502\) | − | 18.0000i | − | 0.803379i | ||||||
\(503\) | − | 36.0000i | − | 1.60516i | −0.596544 | − | 0.802580i | \(-0.703460\pi\) | ||
0.596544 | − | 0.802580i | \(-0.296540\pi\) | |||||||
\(504\) | −2.00000 | −0.0890871 | ||||||||
\(505\) | 8.00000 | − | 4.00000i | 0.355995 | − | 0.177998i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 1.00000i | − | 0.0444116i | ||||||
\(508\) | 6.00000i | 0.266207i | ||||||||
\(509\) | 40.0000 | 1.77297 | 0.886484 | − | 0.462758i | \(-0.153140\pi\) | ||||
0.886484 | + | 0.462758i | \(0.153140\pi\) | |||||||
\(510\) | −2.00000 | − | 4.00000i | −0.0885615 | − | 0.177123i | ||||
\(511\) | 16.0000 | 0.707798 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | − | 4.00000i | − | 0.176604i | ||||||
\(514\) | 18.0000 | 0.793946 | ||||||||
\(515\) | 6.00000 | + | 12.0000i | 0.264392 | + | 0.528783i | ||||
\(516\) | 4.00000 | 0.176090 | ||||||||
\(517\) | 16.0000i | 0.703679i | ||||||||
\(518\) | 12.0000i | 0.527250i | ||||||||
\(519\) | −14.0000 | −0.614532 | ||||||||
\(520\) | 2.00000 | − | 1.00000i | 0.0877058 | − | 0.0438529i | ||||
\(521\) | −10.0000 | −0.438108 | −0.219054 | − | 0.975713i | \(-0.570297\pi\) | ||||
−0.219054 | + | 0.975713i | \(0.570297\pi\) | |||||||
\(522\) | − | 4.00000i | − | 0.175075i | ||||||
\(523\) | 16.0000i | 0.699631i | 0.936819 | + | 0.349816i | \(0.113756\pi\) | ||||
−0.936819 | + | 0.349816i | \(0.886244\pi\) | |||||||
\(524\) | 6.00000 | 0.262111 | ||||||||
\(525\) | 6.00000 | − | 8.00000i | 0.261861 | − | 0.349149i | ||||
\(526\) | −8.00000 | −0.348817 | ||||||||
\(527\) | − | 16.0000i | − | 0.696971i | ||||||
\(528\) | 2.00000i | 0.0870388i | ||||||||
\(529\) | 23.0000 | 1.00000 | ||||||||
\(530\) | 4.00000 | − | 2.00000i | 0.173749 | − | 0.0868744i | ||||
\(531\) | 10.0000 | 0.433963 | ||||||||
\(532\) | 8.00000i | 0.346844i | ||||||||
\(533\) | 6.00000i | 0.259889i | ||||||||
\(534\) | −6.00000 | −0.259645 | ||||||||
\(535\) | 4.00000 | + | 8.00000i | 0.172935 | + | 0.345870i | ||||
\(536\) | −16.0000 | −0.691095 | ||||||||
\(537\) | 18.0000i | 0.776757i | ||||||||
\(538\) | − | 20.0000i | − | 0.862261i | ||||||
\(539\) | 6.00000 | 0.258438 | ||||||||
\(540\) | 1.00000 | + | 2.00000i | 0.0430331 | + | 0.0860663i | ||||
\(541\) | 22.0000 | 0.945854 | 0.472927 | − | 0.881102i | \(-0.343197\pi\) | ||||
0.472927 | + | 0.881102i | \(0.343197\pi\) | |||||||
\(542\) | − | 16.0000i | − | 0.687259i | ||||||
\(543\) | − | 6.00000i | − | 0.257485i | ||||||
\(544\) | −2.00000 | −0.0857493 | ||||||||
\(545\) | 36.0000 | − | 18.0000i | 1.54207 | − | 0.771035i | ||||
\(546\) | −2.00000 | −0.0855921 | ||||||||
\(547\) | 20.0000i | 0.855138i | 0.903983 | + | 0.427569i | \(0.140630\pi\) | ||||
−0.903983 | + | 0.427569i | \(0.859370\pi\) | |||||||
\(548\) | − | 14.0000i | − | 0.598050i | ||||||
\(549\) | 14.0000 | 0.597505 | ||||||||
\(550\) | −8.00000 | − | 6.00000i | −0.341121 | − | 0.255841i | ||||
\(551\) | −16.0000 | −0.681623 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − | 16.0000i | − | 0.680389i | ||||||
\(554\) | 2.00000 | 0.0849719 | ||||||||
\(555\) | 12.0000 | − | 6.00000i | 0.509372 | − | 0.254686i | ||||
\(556\) | 4.00000 | 0.169638 | ||||||||
\(557\) | 14.0000i | 0.593199i | 0.955002 | + | 0.296600i | \(0.0958526\pi\) | ||||
−0.955002 | + | 0.296600i | \(0.904147\pi\) | |||||||
\(558\) | 8.00000i | 0.338667i | ||||||||
\(559\) | 4.00000 | 0.169182 | ||||||||
\(560\) | −2.00000 | − | 4.00000i | −0.0845154 | − | 0.169031i | ||||
\(561\) | 4.00000 | 0.168880 | ||||||||
\(562\) | 18.0000i | 0.759284i | ||||||||
\(563\) | − | 44.0000i | − | 1.85438i | −0.374593 | − | 0.927189i | \(-0.622217\pi\) | ||
0.374593 | − | 0.927189i | \(-0.377783\pi\) | |||||||
\(564\) | 8.00000 | 0.336861 | ||||||||
\(565\) | 6.00000 | + | 12.0000i | 0.252422 | + | 0.504844i | ||||
\(566\) | 16.0000 | 0.672530 | ||||||||
\(567\) | − | 2.00000i | − | 0.0839921i | ||||||
\(568\) | − | 4.00000i | − | 0.167836i | ||||||
\(569\) | −6.00000 | −0.251533 | −0.125767 | − | 0.992060i | \(-0.540139\pi\) | ||||
−0.125767 | + | 0.992060i | \(0.540139\pi\) | |||||||
\(570\) | 8.00000 | − | 4.00000i | 0.335083 | − | 0.167542i | ||||
\(571\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(572\) | 2.00000i | 0.0836242i | ||||||||
\(573\) | − | 12.0000i | − | 0.501307i | ||||||
\(574\) | 12.0000 | 0.500870 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | − | 28.0000i | − | 1.16566i | −0.812596 | − | 0.582828i | \(-0.801946\pi\) | ||
0.812596 | − | 0.582828i | \(-0.198054\pi\) | |||||||
\(578\) | − | 13.0000i | − | 0.540729i | ||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 8.00000 | − | 4.00000i | 0.332182 | − | 0.166091i | ||||
\(581\) | 24.0000 | 0.995688 | ||||||||
\(582\) | − | 12.0000i | − | 0.497416i | ||||||
\(583\) | 4.00000i | 0.165663i | ||||||||
\(584\) | −8.00000 | −0.331042 | ||||||||
\(585\) | 1.00000 | + | 2.00000i | 0.0413449 | + | 0.0826898i | ||||
\(586\) | 26.0000 | 1.07405 | ||||||||
\(587\) | − | 36.0000i | − | 1.48588i | −0.669359 | − | 0.742940i | \(-0.733431\pi\) | ||
0.669359 | − | 0.742940i | \(-0.266569\pi\) | |||||||
\(588\) | − | 3.00000i | − | 0.123718i | ||||||
\(589\) | 32.0000 | 1.31854 | ||||||||
\(590\) | 10.0000 | + | 20.0000i | 0.411693 | + | 0.823387i | ||||
\(591\) | 10.0000 | 0.411345 | ||||||||
\(592\) | − | 6.00000i | − | 0.246598i | ||||||
\(593\) | 34.0000i | 1.39621i | 0.715994 | + | 0.698106i | \(0.245974\pi\) | ||||
−0.715994 | + | 0.698106i | \(0.754026\pi\) | |||||||
\(594\) | −2.00000 | −0.0820610 | ||||||||
\(595\) | −8.00000 | + | 4.00000i | −0.327968 | + | 0.163984i | ||||
\(596\) | 12.0000 | 0.491539 | ||||||||
\(597\) | 24.0000i | 0.982255i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −32.0000 | −1.30748 | −0.653742 | − | 0.756717i | \(-0.726802\pi\) | ||||
−0.653742 | + | 0.756717i | \(0.726802\pi\) | |||||||
\(600\) | −3.00000 | + | 4.00000i | −0.122474 | + | 0.163299i | ||||
\(601\) | −46.0000 | −1.87638 | −0.938190 | − | 0.346122i | \(-0.887498\pi\) | ||||
−0.938190 | + | 0.346122i | \(0.887498\pi\) | |||||||
\(602\) | − | 8.00000i | − | 0.326056i | ||||||
\(603\) | − | 16.0000i | − | 0.651570i | ||||||
\(604\) | 16.0000 | 0.651031 | ||||||||
\(605\) | −14.0000 | + | 7.00000i | −0.569181 | + | 0.284590i | ||||
\(606\) | 4.00000 | 0.162489 | ||||||||
\(607\) | − | 18.0000i | − | 0.730597i | −0.930890 | − | 0.365299i | \(-0.880967\pi\) | ||
0.930890 | − | 0.365299i | \(-0.119033\pi\) | |||||||
\(608\) | − | 4.00000i | − | 0.162221i | ||||||
\(609\) | −8.00000 | −0.324176 | ||||||||
\(610\) | 14.0000 | + | 28.0000i | 0.566843 | + | 1.13369i | ||||
\(611\) | 8.00000 | 0.323645 | ||||||||
\(612\) | − | 2.00000i | − | 0.0808452i | ||||||
\(613\) | − | 2.00000i | − | 0.0807792i | −0.999184 | − | 0.0403896i | \(-0.987140\pi\) | ||
0.999184 | − | 0.0403896i | \(-0.0128599\pi\) | |||||||
\(614\) | 28.0000 | 1.12999 | ||||||||
\(615\) | −6.00000 | − | 12.0000i | −0.241943 | − | 0.483887i | ||||
\(616\) | 4.00000 | 0.161165 | ||||||||
\(617\) | − | 46.0000i | − | 1.85189i | −0.377658 | − | 0.925945i | \(-0.623271\pi\) | ||
0.377658 | − | 0.925945i | \(-0.376729\pi\) | |||||||
\(618\) | 6.00000i | 0.241355i | ||||||||
\(619\) | 24.0000 | 0.964641 | 0.482321 | − | 0.875995i | \(-0.339794\pi\) | ||||
0.482321 | + | 0.875995i | \(0.339794\pi\) | |||||||
\(620\) | −16.0000 | + | 8.00000i | −0.642575 | + | 0.321288i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 20.0000i | − | 0.801927i | ||||||
\(623\) | 12.0000i | 0.480770i | ||||||||
\(624\) | 1.00000 | 0.0400320 | ||||||||
\(625\) | −7.00000 | − | 24.0000i | −0.280000 | − | 0.960000i | ||||
\(626\) | −20.0000 | −0.799361 | ||||||||
\(627\) | 8.00000i | 0.319489i | ||||||||
\(628\) | 10.0000i | 0.399043i | ||||||||
\(629\) | −12.0000 | −0.478471 | ||||||||
\(630\) | 4.00000 | − | 2.00000i | 0.159364 | − | 0.0796819i | ||||
\(631\) | −8.00000 | −0.318475 | −0.159237 | − | 0.987240i | \(-0.550904\pi\) | ||||
−0.159237 | + | 0.987240i | \(0.550904\pi\) | |||||||
\(632\) | 8.00000i | 0.318223i | ||||||||
\(633\) | − | 4.00000i | − | 0.158986i | ||||||
\(634\) | 18.0000 | 0.714871 | ||||||||
\(635\) | −6.00000 | − | 12.0000i | −0.238103 | − | 0.476205i | ||||
\(636\) | 2.00000 | 0.0793052 | ||||||||
\(637\) | − | 3.00000i | − | 0.118864i | ||||||
\(638\) | 8.00000i | 0.316723i | ||||||||
\(639\) | 4.00000 | 0.158238 | ||||||||
\(640\) | 1.00000 | + | 2.00000i | 0.0395285 | + | 0.0790569i | ||||
\(641\) | −38.0000 | −1.50091 | −0.750455 | − | 0.660922i | \(-0.770166\pi\) | ||||
−0.750455 | + | 0.660922i | \(0.770166\pi\) | |||||||
\(642\) | 4.00000i | 0.157867i | ||||||||
\(643\) | 32.0000i | 1.26196i | 0.775800 | + | 0.630978i | \(0.217346\pi\) | ||||
−0.775800 | + | 0.630978i | \(0.782654\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.00000 | + | 4.00000i | −0.315000 | + | 0.157500i | ||||
\(646\) | −8.00000 | −0.314756 | ||||||||
\(647\) | − | 36.0000i | − | 1.41531i | −0.706560 | − | 0.707653i | \(-0.749754\pi\) | ||
0.706560 | − | 0.707653i | \(-0.250246\pi\) | |||||||
\(648\) | 1.00000i | 0.0392837i | ||||||||
\(649\) | −20.0000 | −0.785069 | ||||||||
\(650\) | −3.00000 | + | 4.00000i | −0.117670 | + | 0.156893i | ||||
\(651\) | 16.0000 | 0.627089 | ||||||||
\(652\) | 8.00000i | 0.313304i | ||||||||
\(653\) | − | 34.0000i | − | 1.33052i | −0.746611 | − | 0.665261i | \(-0.768320\pi\) | ||
0.746611 | − | 0.665261i | \(-0.231680\pi\) | |||||||
\(654\) | 18.0000 | 0.703856 | ||||||||
\(655\) | −12.0000 | + | 6.00000i | −0.468879 | + | 0.234439i | ||||
\(656\) | −6.00000 | −0.234261 | ||||||||
\(657\) | − | 8.00000i | − | 0.312110i | ||||||
\(658\) | − | 16.0000i | − | 0.623745i | ||||||
\(659\) | −10.0000 | −0.389545 | −0.194772 | − | 0.980848i | \(-0.562397\pi\) | ||||
−0.194772 | + | 0.980848i | \(0.562397\pi\) | |||||||
\(660\) | −2.00000 | − | 4.00000i | −0.0778499 | − | 0.155700i | ||||
\(661\) | 30.0000 | 1.16686 | 0.583432 | − | 0.812162i | \(-0.301709\pi\) | ||||
0.583432 | + | 0.812162i | \(0.301709\pi\) | |||||||
\(662\) | 12.0000i | 0.466393i | ||||||||
\(663\) | − | 2.00000i | − | 0.0776736i | ||||||
\(664\) | −12.0000 | −0.465690 | ||||||||
\(665\) | −8.00000 | − | 16.0000i | −0.310227 | − | 0.620453i | ||||
\(666\) | 6.00000 | 0.232495 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 12.0000i | 0.464294i | ||||||||
\(669\) | 14.0000 | 0.541271 | ||||||||
\(670\) | 32.0000 | − | 16.0000i | 1.23627 | − | 0.618134i | ||||
\(671\) | −28.0000 | −1.08093 | ||||||||
\(672\) | − | 2.00000i | − | 0.0771517i | ||||||
\(673\) | − | 36.0000i | − | 1.38770i | −0.720121 | − | 0.693849i | \(-0.755914\pi\) | ||
0.720121 | − | 0.693849i | \(-0.244086\pi\) | |||||||
\(674\) | −20.0000 | −0.770371 | ||||||||
\(675\) | −4.00000 | − | 3.00000i | −0.153960 | − | 0.115470i | ||||
\(676\) | 1.00000 | 0.0384615 | ||||||||
\(677\) | 10.0000i | 0.384331i | 0.981363 | + | 0.192166i | \(0.0615511\pi\) | ||||
−0.981363 | + | 0.192166i | \(0.938449\pi\) | |||||||
\(678\) | 6.00000i | 0.230429i | ||||||||
\(679\) | −24.0000 | −0.921035 | ||||||||
\(680\) | 4.00000 | − | 2.00000i | 0.153393 | − | 0.0766965i | ||||
\(681\) | 12.0000 | 0.459841 | ||||||||
\(682\) | − | 16.0000i | − | 0.612672i | ||||||
\(683\) | 12.0000i | 0.459167i | 0.973289 | + | 0.229584i | \(0.0737364\pi\) | ||||
−0.973289 | + | 0.229584i | \(0.926264\pi\) | |||||||
\(684\) | 4.00000 | 0.152944 | ||||||||
\(685\) | 14.0000 | + | 28.0000i | 0.534913 | + | 1.06983i | ||||
\(686\) | −20.0000 | −0.763604 | ||||||||
\(687\) | 22.0000i | 0.839352i | ||||||||
\(688\) | 4.00000i | 0.152499i | ||||||||
\(689\) | 2.00000 | 0.0761939 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −28.0000 | −1.06517 | −0.532585 | − | 0.846376i | \(-0.678779\pi\) | ||||
−0.532585 | + | 0.846376i | \(0.678779\pi\) | |||||||
\(692\) | − | 14.0000i | − | 0.532200i | ||||||
\(693\) | 4.00000i | 0.151947i | ||||||||
\(694\) | −12.0000 | −0.455514 | ||||||||
\(695\) | −8.00000 | + | 4.00000i | −0.303457 | + | 0.151729i | ||||
\(696\) | 4.00000 | 0.151620 | ||||||||
\(697\) | 12.0000i | 0.454532i | ||||||||
\(698\) | 14.0000i | 0.529908i | ||||||||
\(699\) | 14.0000 | 0.529529 | ||||||||
\(700\) | 8.00000 | + | 6.00000i | 0.302372 | + | 0.226779i | ||||
\(701\) | 12.0000 | 0.453234 | 0.226617 | − | 0.973984i | \(-0.427233\pi\) | ||||
0.226617 | + | 0.973984i | \(0.427233\pi\) | |||||||
\(702\) | 1.00000i | 0.0377426i | ||||||||
\(703\) | − | 24.0000i | − | 0.905177i | ||||||
\(704\) | −2.00000 | −0.0753778 | ||||||||
\(705\) | −16.0000 | + | 8.00000i | −0.602595 | + | 0.301297i | ||||
\(706\) | −34.0000 | −1.27961 | ||||||||
\(707\) | − | 8.00000i | − | 0.300871i | ||||||
\(708\) | 10.0000i | 0.375823i | ||||||||
\(709\) | −34.0000 | −1.27690 | −0.638448 | − | 0.769665i | \(-0.720423\pi\) | ||||
−0.638448 | + | 0.769665i | \(0.720423\pi\) | |||||||
\(710\) | 4.00000 | + | 8.00000i | 0.150117 | + | 0.300235i | ||||
\(711\) | −8.00000 | −0.300023 | ||||||||
\(712\) | − | 6.00000i | − | 0.224860i | ||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −4.00000 | −0.149696 | ||||||||
\(715\) | −2.00000 | − | 4.00000i | −0.0747958 | − | 0.149592i | ||||
\(716\) | −18.0000 | −0.672692 | ||||||||
\(717\) | 12.0000i | 0.448148i | ||||||||
\(718\) | 32.0000i | 1.19423i | ||||||||
\(719\) | 24.0000 | 0.895049 | 0.447524 | − | 0.894272i | \(-0.352306\pi\) | ||||
0.447524 | + | 0.894272i | \(0.352306\pi\) | |||||||
\(720\) | −2.00000 | + | 1.00000i | −0.0745356 | + | 0.0372678i | ||||
\(721\) | 12.0000 | 0.446903 | ||||||||
\(722\) | 3.00000i | 0.111648i | ||||||||
\(723\) | − | 18.0000i | − | 0.669427i | ||||||
\(724\) | 6.00000 | 0.222988 | ||||||||
\(725\) | −12.0000 | + | 16.0000i | −0.445669 | + | 0.594225i | ||||
\(726\) | −7.00000 | −0.259794 | ||||||||
\(727\) | − | 34.0000i | − | 1.26099i | −0.776193 | − | 0.630495i | \(-0.782852\pi\) | ||
0.776193 | − | 0.630495i | \(-0.217148\pi\) | |||||||
\(728\) | − | 2.00000i | − | 0.0741249i | ||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 16.0000 | − | 8.00000i | 0.592187 | − | 0.296093i | ||||
\(731\) | 8.00000 | 0.295891 | ||||||||
\(732\) | 14.0000i | 0.517455i | ||||||||
\(733\) | 14.0000i | 0.517102i | 0.965998 | + | 0.258551i | \(0.0832450\pi\) | ||||
−0.965998 | + | 0.258551i | \(0.916755\pi\) | |||||||
\(734\) | 10.0000 | 0.369107 | ||||||||
\(735\) | 3.00000 | + | 6.00000i | 0.110657 | + | 0.221313i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 32.0000i | 1.17874i | ||||||||
\(738\) | − | 6.00000i | − | 0.220863i | ||||||
\(739\) | −28.0000 | −1.03000 | −0.514998 | − | 0.857191i | \(-0.672207\pi\) | ||||
−0.514998 | + | 0.857191i | \(0.672207\pi\) | |||||||
\(740\) | 6.00000 | + | 12.0000i | 0.220564 | + | 0.441129i | ||||
\(741\) | 4.00000 | 0.146944 | ||||||||
\(742\) | − | 4.00000i | − | 0.146845i | ||||||
\(743\) | 16.0000i | 0.586983i | 0.955962 | + | 0.293492i | \(0.0948173\pi\) | ||||
−0.955962 | + | 0.293492i | \(0.905183\pi\) | |||||||
\(744\) | −8.00000 | −0.293294 | ||||||||
\(745\) | −24.0000 | + | 12.0000i | −0.879292 | + | 0.439646i | ||||
\(746\) | −22.0000 | −0.805477 | ||||||||
\(747\) | − | 12.0000i | − | 0.439057i | ||||||
\(748\) | 4.00000i | 0.146254i | ||||||||
\(749\) | 8.00000 | 0.292314 | ||||||||
\(750\) | 2.00000 | − | 11.0000i | 0.0730297 | − | 0.401663i | ||||
\(751\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(752\) | 8.00000i | 0.291730i | ||||||||
\(753\) | 18.0000i | 0.655956i | ||||||||
\(754\) | 4.00000 | 0.145671 | ||||||||
\(755\) | −32.0000 | + | 16.0000i | −1.16460 | + | 0.582300i | ||||
\(756\) | 2.00000 | 0.0727393 | ||||||||
\(757\) | 26.0000i | 0.944986i | 0.881334 | + | 0.472493i | \(0.156646\pi\) | ||||
−0.881334 | + | 0.472493i | \(0.843354\pi\) | |||||||
\(758\) | 8.00000i | 0.290573i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.00000 | + | 8.00000i | 0.145095 | + | 0.290191i | ||||
\(761\) | 38.0000 | 1.37750 | 0.688749 | − | 0.724999i | \(-0.258160\pi\) | ||||
0.688749 | + | 0.724999i | \(0.258160\pi\) | |||||||
\(762\) | − | 6.00000i | − | 0.217357i | ||||||
\(763\) | − | 36.0000i | − | 1.30329i | ||||||
\(764\) | 12.0000 | 0.434145 | ||||||||
\(765\) | 2.00000 | + | 4.00000i | 0.0723102 | + | 0.144620i | ||||
\(766\) | 24.0000 | 0.867155 | ||||||||
\(767\) | 10.0000i | 0.361079i | ||||||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | −2.00000 | −0.0721218 | −0.0360609 | − | 0.999350i | \(-0.511481\pi\) | ||||
−0.0360609 | + | 0.999350i | \(0.511481\pi\) | |||||||
\(770\) | −8.00000 | + | 4.00000i | −0.288300 | + | 0.144150i | ||||
\(771\) | −18.0000 | −0.648254 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 22.0000i | 0.791285i | 0.918405 | + | 0.395643i | \(0.129478\pi\) | ||||
−0.918405 | + | 0.395643i | \(0.870522\pi\) | |||||||
\(774\) | −4.00000 | −0.143777 | ||||||||
\(775\) | 24.0000 | − | 32.0000i | 0.862105 | − | 1.14947i | ||||
\(776\) | 12.0000 | 0.430775 | ||||||||
\(777\) | − | 12.0000i | − | 0.430498i | ||||||
\(778\) | 16.0000i | 0.573628i | ||||||||
\(779\) | −24.0000 | −0.859889 | ||||||||
\(780\) | −2.00000 | + | 1.00000i | −0.0716115 | + | 0.0358057i | ||||
\(781\) | −8.00000 | −0.286263 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 4.00000i | 0.142948i | ||||||||
\(784\) | 3.00000 | 0.107143 | ||||||||
\(785\) | −10.0000 | − | 20.0000i | −0.356915 | − | 0.713831i | ||||
\(786\) | −6.00000 | −0.214013 | ||||||||
\(787\) | 8.00000i | 0.285169i | 0.989783 | + | 0.142585i | \(0.0455413\pi\) | ||||
−0.989783 | + | 0.142585i | \(0.954459\pi\) | |||||||
\(788\) | 10.0000i | 0.356235i | ||||||||
\(789\) | 8.00000 | 0.284808 | ||||||||
\(790\) | −8.00000 | − | 16.0000i | −0.284627 | − | 0.569254i | ||||
\(791\) | 12.0000 | 0.426671 | ||||||||
\(792\) | − | 2.00000i | − | 0.0710669i | ||||||
\(793\) | 14.0000i | 0.497155i | ||||||||
\(794\) | 18.0000 | 0.638796 | ||||||||
\(795\) | −4.00000 | + | 2.00000i | −0.141865 | + | 0.0709327i | ||||
\(796\) | −24.0000 | −0.850657 | ||||||||
\(797\) | − | 14.0000i | − | 0.495905i | −0.968772 | − | 0.247953i | \(-0.920242\pi\) | ||
0.968772 | − | 0.247953i | \(-0.0797578\pi\) | |||||||
\(798\) | − | 8.00000i | − | 0.283197i | ||||||
\(799\) | 16.0000 | 0.566039 | ||||||||
\(800\) | −4.00000 | − | 3.00000i | −0.141421 | − | 0.106066i | ||||
\(801\) | 6.00000 | 0.212000 | ||||||||
\(802\) | 18.0000i | 0.635602i | ||||||||
\(803\) | 16.0000i | 0.564628i | ||||||||
\(804\) | 16.0000 | 0.564276 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −8.00000 | −0.281788 | ||||||||
\(807\) | 20.0000i | 0.704033i | ||||||||
\(808\) | 4.00000i | 0.140720i | ||||||||
\(809\) | 22.0000 | 0.773479 | 0.386739 | − | 0.922189i | \(-0.373601\pi\) | ||||
0.386739 | + | 0.922189i | \(0.373601\pi\) | |||||||
\(810\) | −1.00000 | − | 2.00000i | −0.0351364 | − | 0.0702728i | ||||
\(811\) | 16.0000 | 0.561836 | 0.280918 | − | 0.959732i | \(-0.409361\pi\) | ||||
0.280918 | + | 0.959732i | \(0.409361\pi\) | |||||||
\(812\) | − | 8.00000i | − | 0.280745i | ||||||
\(813\) | 16.0000i | 0.561144i | ||||||||
\(814\) | −12.0000 | −0.420600 | ||||||||
\(815\) | −8.00000 | − | 16.0000i | −0.280228 | − | 0.560456i | ||||
\(816\) | 2.00000 | 0.0700140 | ||||||||
\(817\) | 16.0000i | 0.559769i | ||||||||
\(818\) | − | 26.0000i | − | 0.909069i | ||||||
\(819\) | 2.00000 | 0.0698857 | ||||||||
\(820\) | 12.0000 | − | 6.00000i | 0.419058 | − | 0.209529i | ||||
\(821\) | 24.0000 | 0.837606 | 0.418803 | − | 0.908077i | \(-0.362450\pi\) | ||||
0.418803 | + | 0.908077i | \(0.362450\pi\) | |||||||
\(822\) | 14.0000i | 0.488306i | ||||||||
\(823\) | 34.0000i | 1.18517i | 0.805510 | + | 0.592583i | \(0.201892\pi\) | ||||
−0.805510 | + | 0.592583i | \(0.798108\pi\) | |||||||
\(824\) | −6.00000 | −0.209020 | ||||||||
\(825\) | 8.00000 | + | 6.00000i | 0.278524 | + | 0.208893i | ||||
\(826\) | 20.0000 | 0.695889 | ||||||||
\(827\) | 12.0000i | 0.417281i | 0.977992 | + | 0.208640i | \(0.0669038\pi\) | ||||
−0.977992 | + | 0.208640i | \(0.933096\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −18.0000 | −0.625166 | −0.312583 | − | 0.949890i | \(-0.601194\pi\) | ||||
−0.312583 | + | 0.949890i | \(0.601194\pi\) | |||||||
\(830\) | 24.0000 | − | 12.0000i | 0.833052 | − | 0.416526i | ||||
\(831\) | −2.00000 | −0.0693792 | ||||||||
\(832\) | 1.00000i | 0.0346688i | ||||||||
\(833\) | − | 6.00000i | − | 0.207888i | ||||||
\(834\) | −4.00000 | −0.138509 | ||||||||
\(835\) | −12.0000 | − | 24.0000i | −0.415277 | − | 0.830554i | ||||
\(836\) | −8.00000 | −0.276686 | ||||||||
\(837\) | − | 8.00000i | − | 0.276520i | ||||||
\(838\) | − | 14.0000i | − | 0.483622i | ||||||
\(839\) | −40.0000 | −1.38095 | −0.690477 | − | 0.723355i | \(-0.742599\pi\) | ||||
−0.690477 | + | 0.723355i | \(0.742599\pi\) | |||||||
\(840\) | 2.00000 | + | 4.00000i | 0.0690066 | + | 0.138013i | ||||
\(841\) | −13.0000 | −0.448276 | ||||||||
\(842\) | − | 34.0000i | − | 1.17172i | ||||||
\(843\) | − | 18.0000i | − | 0.619953i | ||||||
\(844\) | 4.00000 | 0.137686 | ||||||||
\(845\) | −2.00000 | + | 1.00000i | −0.0688021 | + | 0.0344010i | ||||
\(846\) | −8.00000 | −0.275046 | ||||||||
\(847\) | 14.0000i | 0.481046i | ||||||||
\(848\) | 2.00000i | 0.0686803i | ||||||||
\(849\) | −16.0000 | −0.549119 | ||||||||
\(850\) | −6.00000 | + | 8.00000i | −0.205798 | + | 0.274398i | ||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 4.00000i | 0.137038i | ||||||||
\(853\) | − | 18.0000i | − | 0.616308i | −0.951336 | − | 0.308154i | \(-0.900289\pi\) | ||
0.951336 | − | 0.308154i | \(-0.0997113\pi\) | |||||||
\(854\) | 28.0000 | 0.958140 | ||||||||
\(855\) | −8.00000 | + | 4.00000i | −0.273594 | + | 0.136797i | ||||
\(856\) | −4.00000 | −0.136717 | ||||||||
\(857\) | − | 34.0000i | − | 1.16142i | −0.814111 | − | 0.580709i | \(-0.802775\pi\) | ||
0.814111 | − | 0.580709i | \(-0.197225\pi\) | |||||||
\(858\) | − | 2.00000i | − | 0.0682789i | ||||||
\(859\) | −20.0000 | −0.682391 | −0.341196 | − | 0.939992i | \(-0.610832\pi\) | ||||
−0.341196 | + | 0.939992i | \(0.610832\pi\) | |||||||
\(860\) | −4.00000 | − | 8.00000i | −0.136399 | − | 0.272798i | ||||
\(861\) | −12.0000 | −0.408959 | ||||||||
\(862\) | − | 16.0000i | − | 0.544962i | ||||||
\(863\) | 36.0000i | 1.22545i | 0.790295 | + | 0.612727i | \(0.209928\pi\) | ||||
−0.790295 | + | 0.612727i | \(0.790072\pi\) | |||||||
\(864\) | −1.00000 | −0.0340207 | ||||||||
\(865\) | 14.0000 | + | 28.0000i | 0.476014 | + | 0.952029i | ||||
\(866\) | 12.0000 | 0.407777 | ||||||||
\(867\) | 13.0000i | 0.441503i | ||||||||
\(868\) | 16.0000i | 0.543075i | ||||||||
\(869\) | 16.0000 | 0.542763 | ||||||||
\(870\) | −8.00000 | + | 4.00000i | −0.271225 | + | 0.135613i | ||||
\(871\) | 16.0000 | 0.542139 | ||||||||
\(872\) | 18.0000i | 0.609557i | ||||||||
\(873\) | 12.0000i | 0.406138i | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −22.0000 | − | 4.00000i | −0.743736 | − | 0.135225i | ||||
\(876\) | 8.00000 | 0.270295 | ||||||||
\(877\) | − | 42.0000i | − | 1.41824i | −0.705088 | − | 0.709120i | \(-0.749093\pi\) | ||
0.705088 | − | 0.709120i | \(-0.250907\pi\) | |||||||
\(878\) | 32.0000i | 1.07995i | ||||||||
\(879\) | −26.0000 | −0.876958 | ||||||||
\(880\) | 4.00000 | − | 2.00000i | 0.134840 | − | 0.0674200i | ||||
\(881\) | −10.0000 | −0.336909 | −0.168454 | − | 0.985709i | \(-0.553878\pi\) | ||||
−0.168454 | + | 0.985709i | \(0.553878\pi\) | |||||||
\(882\) | 3.00000i | 0.101015i | ||||||||
\(883\) | 24.0000i | 0.807664i | 0.914833 | + | 0.403832i | \(0.132322\pi\) | ||||
−0.914833 | + | 0.403832i | \(0.867678\pi\) | |||||||
\(884\) | 2.00000 | 0.0672673 | ||||||||
\(885\) | −10.0000 | − | 20.0000i | −0.336146 | − | 0.672293i | ||||
\(886\) | 4.00000 | 0.134383 | ||||||||
\(887\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(888\) | 6.00000i | 0.201347i | ||||||||
\(889\) | −12.0000 | −0.402467 | ||||||||
\(890\) | 6.00000 | + | 12.0000i | 0.201120 | + | 0.402241i | ||||
\(891\) | 2.00000 | 0.0670025 | ||||||||
\(892\) | 14.0000i | 0.468755i | ||||||||
\(893\) | 32.0000i | 1.07084i | ||||||||
\(894\) | −12.0000 | −0.401340 | ||||||||
\(895\) | 36.0000 | − | 18.0000i | 1.20335 | − | 0.601674i | ||||
\(896\) | 2.00000 | 0.0668153 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 30.0000i | 1.00111i | ||||||||
\(899\) | −32.0000 | −1.06726 | ||||||||
\(900\) | 3.00000 | − | 4.00000i | 0.100000 | − | 0.133333i | ||||
\(901\) | 4.00000 | 0.133259 | ||||||||
\(902\) | 12.0000i | 0.399556i | ||||||||
\(903\) | 8.00000i | 0.266223i | ||||||||
\(904\) | −6.00000 | −0.199557 | ||||||||
\(905\) | −12.0000 | + | 6.00000i | −0.398893 | + | 0.199447i | ||||
\(906\) | −16.0000 | −0.531564 | ||||||||
\(907\) | 28.0000i | 0.929725i | 0.885383 | + | 0.464862i | \(0.153896\pi\) | ||||
−0.885383 | + | 0.464862i | \(0.846104\pi\) | |||||||
\(908\) | 12.0000i | 0.398234i | ||||||||
\(909\) | −4.00000 | −0.132672 | ||||||||
\(910\) | 2.00000 | + | 4.00000i | 0.0662994 | + | 0.132599i | ||||
\(911\) | 16.0000 | 0.530104 | 0.265052 | − | 0.964234i | \(-0.414611\pi\) | ||||
0.265052 | + | 0.964234i | \(0.414611\pi\) | |||||||
\(912\) | 4.00000i | 0.132453i | ||||||||
\(913\) | 24.0000i | 0.794284i | ||||||||
\(914\) | 28.0000 | 0.926158 | ||||||||
\(915\) | −14.0000 | − | 28.0000i | −0.462826 | − | 0.925651i | ||||
\(916\) | −22.0000 | −0.726900 | ||||||||
\(917\) | 12.0000i | 0.396275i | ||||||||
\(918\) | 2.00000i | 0.0660098i | ||||||||
\(919\) | 48.0000 | 1.58337 | 0.791687 | − | 0.610927i | \(-0.209203\pi\) | ||||
0.791687 | + | 0.610927i | \(0.209203\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −28.0000 | −0.922631 | ||||||||
\(922\) | − | 20.0000i | − | 0.658665i | ||||||
\(923\) | 4.00000i | 0.131662i | ||||||||
\(924\) | −4.00000 | −0.131590 | ||||||||
\(925\) | −24.0000 | − | 18.0000i | −0.789115 | − | 0.591836i | ||||
\(926\) | 6.00000 | 0.197172 | ||||||||
\(927\) | − | 6.00000i | − | 0.197066i | ||||||
\(928\) | 4.00000i | 0.131306i | ||||||||
\(929\) | 50.0000 | 1.64045 | 0.820223 | − | 0.572043i | \(-0.193849\pi\) | ||||
0.820223 | + | 0.572043i | \(0.193849\pi\) | |||||||
\(930\) | 16.0000 | − | 8.00000i | 0.524661 | − | 0.262330i | ||||
\(931\) | 12.0000 | 0.393284 | ||||||||
\(932\) | 14.0000i | 0.458585i | ||||||||
\(933\) | 20.0000i | 0.654771i | ||||||||
\(934\) | −28.0000 | −0.916188 | ||||||||
\(935\) | −4.00000 | − | 8.00000i | −0.130814 | − | 0.261628i | ||||
\(936\) | −1.00000 | −0.0326860 | ||||||||
\(937\) | − | 56.0000i | − | 1.82944i | −0.404088 | − | 0.914720i | \(-0.632411\pi\) | ||
0.404088 | − | 0.914720i | \(-0.367589\pi\) | |||||||
\(938\) | − | 32.0000i | − | 1.04484i | ||||||
\(939\) | 20.0000 | 0.652675 | ||||||||
\(940\) | −8.00000 | − | 16.0000i | −0.260931 | − | 0.521862i | ||||
\(941\) | −44.0000 | −1.43436 | −0.717180 | − | 0.696888i | \(-0.754567\pi\) | ||||
−0.717180 | + | 0.696888i | \(0.754567\pi\) | |||||||
\(942\) | − | 10.0000i | − | 0.325818i | ||||||
\(943\) | 0 | 0 | ||||||||
\(944\) | −10.0000 | −0.325472 | ||||||||
\(945\) | −4.00000 | + | 2.00000i | −0.130120 | + | 0.0650600i | ||||
\(946\) | 8.00000 | 0.260102 | ||||||||
\(947\) | 36.0000i | 1.16984i | 0.811090 | + | 0.584921i | \(0.198875\pi\) | ||||
−0.811090 | + | 0.584921i | \(0.801125\pi\) | |||||||
\(948\) | − | 8.00000i | − | 0.259828i | ||||||
\(949\) | 8.00000 | 0.259691 | ||||||||
\(950\) | −16.0000 | − | 12.0000i | −0.519109 | − | 0.389331i | ||||
\(951\) | −18.0000 | −0.583690 | ||||||||
\(952\) | − | 4.00000i | − | 0.129641i | ||||||
\(953\) | 6.00000i | 0.194359i | 0.995267 | + | 0.0971795i | \(0.0309821\pi\) | ||||
−0.995267 | + | 0.0971795i | \(0.969018\pi\) | |||||||
\(954\) | −2.00000 | −0.0647524 | ||||||||
\(955\) | −24.0000 | + | 12.0000i | −0.776622 | + | 0.388311i | ||||
\(956\) | −12.0000 | −0.388108 | ||||||||
\(957\) | − | 8.00000i | − | 0.258603i | ||||||
\(958\) | 36.0000i | 1.16311i | ||||||||
\(959\) | 28.0000 | 0.904167 | ||||||||
\(960\) | −1.00000 | − | 2.00000i | −0.0322749 | − | 0.0645497i | ||||
\(961\) | 33.0000 | 1.06452 | ||||||||
\(962\) | 6.00000i | 0.193448i | ||||||||
\(963\) | − | 4.00000i | − | 0.128898i | ||||||
\(964\) | 18.0000 | 0.579741 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 58.0000i | − | 1.86515i | −0.360971 | − | 0.932577i | \(-0.617555\pi\) | ||
0.360971 | − | 0.932577i | \(-0.382445\pi\) | |||||||
\(968\) | − | 7.00000i | − | 0.224989i | ||||||
\(969\) | 8.00000 | 0.256997 | ||||||||
\(970\) | −24.0000 | + | 12.0000i | −0.770594 | + | 0.385297i | ||||
\(971\) | 50.0000 | 1.60458 | 0.802288 | − | 0.596937i | \(-0.203616\pi\) | ||||
0.802288 | + | 0.596937i | \(0.203616\pi\) | |||||||
\(972\) | − | 1.00000i | − | 0.0320750i | ||||||
\(973\) | 8.00000i | 0.256468i | ||||||||
\(974\) | 26.0000 | 0.833094 | ||||||||
\(975\) | 3.00000 | − | 4.00000i | 0.0960769 | − | 0.128103i | ||||
\(976\) | −14.0000 | −0.448129 | ||||||||
\(977\) | 18.0000i | 0.575871i | 0.957650 | + | 0.287936i | \(0.0929689\pi\) | ||||
−0.957650 | + | 0.287936i | \(0.907031\pi\) | |||||||
\(978\) | − | 8.00000i | − | 0.255812i | ||||||
\(979\) | −12.0000 | −0.383522 | ||||||||
\(980\) | −6.00000 | + | 3.00000i | −0.191663 | + | 0.0958315i | ||||
\(981\) | −18.0000 | −0.574696 | ||||||||
\(982\) | 22.0000i | 0.702048i | ||||||||
\(983\) | 56.0000i | 1.78612i | 0.449935 | + | 0.893061i | \(0.351447\pi\) | ||||
−0.449935 | + | 0.893061i | \(0.648553\pi\) | |||||||
\(984\) | 6.00000 | 0.191273 | ||||||||
\(985\) | −10.0000 | − | 20.0000i | −0.318626 | − | 0.637253i | ||||
\(986\) | 8.00000 | 0.254772 | ||||||||
\(987\) | 16.0000i | 0.509286i | ||||||||
\(988\) | 4.00000i | 0.127257i | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 2.00000 | + | 4.00000i | 0.0635642 | + | 0.127128i | ||||
\(991\) | −16.0000 | −0.508257 | −0.254128 | − | 0.967170i | \(-0.581789\pi\) | ||||
−0.254128 | + | 0.967170i | \(0.581789\pi\) | |||||||
\(992\) | − | 8.00000i | − | 0.254000i | ||||||
\(993\) | − | 12.0000i | − | 0.380808i | ||||||
\(994\) | 8.00000 | 0.253745 | ||||||||
\(995\) | 48.0000 | − | 24.0000i | 1.52170 | − | 0.760851i | ||||
\(996\) | 12.0000 | 0.380235 | ||||||||
\(997\) | 14.0000i | 0.443384i | 0.975117 | + | 0.221692i | \(0.0711580\pi\) | ||||
−0.975117 | + | 0.221692i | \(0.928842\pi\) | |||||||
\(998\) | 36.0000i | 1.13956i | ||||||||
\(999\) | −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.c.79.1 | ✓ | 2 | |
3.2 | odd | 2 | 1170.2.e.a.469.2 | 2 | |||
4.3 | odd | 2 | 3120.2.l.g.1249.1 | 2 | |||
5.2 | odd | 4 | 1950.2.a.z.1.1 | 1 | |||
5.3 | odd | 4 | 1950.2.a.c.1.1 | 1 | |||
5.4 | even | 2 | inner | 390.2.e.c.79.2 | yes | 2 | |
15.2 | even | 4 | 5850.2.a.t.1.1 | 1 | |||
15.8 | even | 4 | 5850.2.a.bj.1.1 | 1 | |||
15.14 | odd | 2 | 1170.2.e.a.469.1 | 2 | |||
20.19 | odd | 2 | 3120.2.l.g.1249.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.e.c.79.1 | ✓ | 2 | 1.1 | even | 1 | trivial | |
390.2.e.c.79.2 | yes | 2 | 5.4 | even | 2 | inner | |
1170.2.e.a.469.1 | 2 | 15.14 | odd | 2 | |||
1170.2.e.a.469.2 | 2 | 3.2 | odd | 2 | |||
1950.2.a.c.1.1 | 1 | 5.3 | odd | 4 | |||
1950.2.a.z.1.1 | 1 | 5.2 | odd | 4 | |||
3120.2.l.g.1249.1 | 2 | 4.3 | odd | 2 | |||
3120.2.l.g.1249.2 | 2 | 20.19 | odd | 2 | |||
5850.2.a.t.1.1 | 1 | 15.2 | even | 4 | |||
5850.2.a.bj.1.1 | 1 | 15.8 | even | 4 |