Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1470,2,Mod(589,1470)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1470, 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("1470.589");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1470 = 2 \cdot 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1470.g (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: | \(11.7380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.29160000.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 20x^{3} + 125 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 210) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 589.1 | ||
Root | \(-1.40280 + 1.74131i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1470.589 |
Dual form | 1470.2.g.i.589.4 |
$q$-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 \(\left(\mathbb{Z}/1470\mathbb{Z}\right)^\times\).
\(n\) | \(491\) | \(1081\) | \(1177\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
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 | ||||||||
\(5\) | −1.40280 | − | 1.74131i | −0.627352 | − | 0.778736i | ||||
\(6\) | 1.00000 | 0.408248 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −1.74131 | + | 1.40280i | −0.550649 | + | 0.443605i | ||||
\(11\) | 1.67701 | 0.505638 | 0.252819 | − | 0.967514i | \(-0.418642\pi\) | ||||
0.252819 | + | 0.967514i | \(0.418642\pi\) | |||||||
\(12\) | − | 1.00000i | − | 0.288675i | ||||||
\(13\) | 4.48261i | 1.24325i | 0.783314 | + | 0.621627i | \(0.213528\pi\) | ||||
−0.783314 | + | 0.621627i | \(0.786472\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.74131 | − | 1.40280i | 0.449603 | − | 0.362202i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 7.61121i | − | 1.84599i | −0.384814 | − | 0.922994i | \(-0.625734\pi\) | ||
0.384814 | − | 0.922994i | \(-0.374266\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | −4.48261 | −1.02838 | −0.514191 | − | 0.857676i | \(-0.671908\pi\) | ||||
−0.514191 | + | 0.857676i | \(0.671908\pi\) | |||||||
\(20\) | 1.40280 | + | 1.74131i | 0.313676 | + | 0.389368i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 1.67701i | − | 0.357540i | ||||||
\(23\) | − | 0.482613i | − | 0.100632i | −0.998733 | − | 0.0503159i | \(-0.983977\pi\) | ||
0.998733 | − | 0.0503159i | \(-0.0160228\pi\) | |||||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −1.06430 | + | 4.88541i | −0.212859 | + | 0.977083i | ||||
\(26\) | 4.48261 | 0.879113 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.19440 | −0.221794 | −0.110897 | − | 0.993832i | \(-0.535372\pi\) | ||||
−0.110897 | + | 0.993832i | \(0.535372\pi\) | |||||||
\(30\) | −1.40280 | − | 1.74131i | −0.256115 | − | 0.317918i | ||||
\(31\) | −3.48261 | −0.625496 | −0.312748 | − | 0.949836i | \(-0.601249\pi\) | ||||
−0.312748 | + | 0.949836i | \(0.601249\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 1.67701i | 0.291930i | ||||||||
\(34\) | −7.61121 | −1.30531 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | 0.482613i | 0.0793411i | 0.999213 | + | 0.0396705i | \(0.0126308\pi\) | ||||
−0.999213 | + | 0.0396705i | \(0.987369\pi\) | |||||||
\(38\) | 4.48261i | 0.727176i | ||||||||
\(39\) | −4.48261 | −0.717793 | ||||||||
\(40\) | 1.74131 | − | 1.40280i | 0.275325 | − | 0.221802i | ||||
\(41\) | −12.0938 | −1.88874 | −0.944369 | − | 0.328889i | \(-0.893326\pi\) | ||||
−0.944369 | + | 0.328889i | \(0.893326\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 2.00000i | − | 0.304997i | −0.988304 | − | 0.152499i | \(-0.951268\pi\) | ||
0.988304 | − | 0.152499i | \(-0.0487319\pi\) | |||||||
\(44\) | −1.67701 | −0.252819 | ||||||||
\(45\) | 1.40280 | + | 1.74131i | 0.209117 | + | 0.259579i | ||||
\(46\) | −0.482613 | −0.0711574 | ||||||||
\(47\) | 11.4478i | 1.66984i | 0.550372 | + | 0.834919i | \(0.314486\pi\) | ||||
−0.550372 | + | 0.834919i | \(0.685514\pi\) | |||||||
\(48\) | 1.00000i | 0.144338i | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 4.88541 | + | 1.06430i | 0.690902 | + | 0.150514i | ||||
\(51\) | 7.61121 | 1.06578 | ||||||||
\(52\) | − | 4.48261i | − | 0.621627i | ||||||
\(53\) | 9.57643i | 1.31542i | 0.753269 | + | 0.657712i | \(0.228476\pi\) | ||||
−0.753269 | + | 0.657712i | \(0.771524\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | −2.35251 | − | 2.92019i | −0.317213 | − | 0.393758i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | − | 4.48261i | − | 0.593737i | ||||||
\(58\) | 1.19440i | 0.156832i | ||||||||
\(59\) | −5.77083 | −0.751298 | −0.375649 | − | 0.926762i | \(-0.622580\pi\) | ||||
−0.375649 | + | 0.926762i | \(0.622580\pi\) | |||||||
\(60\) | −1.74131 | + | 1.40280i | −0.224802 | + | 0.181101i | ||||
\(61\) | −10.5764 | −1.35417 | −0.677087 | − | 0.735903i | \(-0.736758\pi\) | ||||
−0.677087 | + | 0.735903i | \(0.736758\pi\) | |||||||
\(62\) | 3.48261i | 0.442292i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 7.80560 | − | 6.28822i | 0.968166 | − | 0.779957i | ||||
\(66\) | 1.67701 | 0.206426 | ||||||||
\(67\) | 3.35402i | 0.409759i | 0.978787 | + | 0.204879i | \(0.0656802\pi\) | ||||
−0.978787 | + | 0.204879i | \(0.934320\pi\) | |||||||
\(68\) | 7.61121i | 0.922994i | ||||||||
\(69\) | 0.482613 | 0.0580998 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.00000 | 0.712069 | 0.356034 | − | 0.934473i | \(-0.384129\pi\) | ||||
0.356034 | + | 0.934473i | \(0.384129\pi\) | |||||||
\(72\) | − | 1.00000i | − | 0.117851i | ||||||
\(73\) | 4.00000i | 0.468165i | 0.972217 | + | 0.234082i | \(0.0752085\pi\) | ||||
−0.972217 | + | 0.234082i | \(0.924791\pi\) | |||||||
\(74\) | 0.482613 | 0.0561026 | ||||||||
\(75\) | −4.88541 | − | 1.06430i | −0.564119 | − | 0.122894i | ||||
\(76\) | 4.48261 | 0.514191 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.48261i | 0.507556i | ||||||||
\(79\) | −4.51739 | −0.508246 | −0.254123 | − | 0.967172i | \(-0.581787\pi\) | ||||
−0.254123 | + | 0.967172i | \(0.581787\pi\) | |||||||
\(80\) | −1.40280 | − | 1.74131i | −0.156838 | − | 0.194684i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 12.0938i | 1.33554i | ||||||||
\(83\) | 1.87141i | 0.205414i | 0.994712 | + | 0.102707i | \(0.0327503\pi\) | ||||
−0.994712 | + | 0.102707i | \(0.967250\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −13.2534 | + | 10.6770i | −1.43754 | + | 1.15808i | ||||
\(86\) | −2.00000 | −0.215666 | ||||||||
\(87\) | − | 1.19440i | − | 0.128053i | ||||||
\(88\) | 1.67701i | 0.178770i | ||||||||
\(89\) | 3.35402 | 0.355525 | 0.177763 | − | 0.984073i | \(-0.443114\pi\) | ||||
0.177763 | + | 0.984073i | \(0.443114\pi\) | |||||||
\(90\) | 1.74131 | − | 1.40280i | 0.183550 | − | 0.147868i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.482613i | 0.0503159i | ||||||||
\(93\) | − | 3.48261i | − | 0.361130i | ||||||
\(94\) | 11.4478 | 1.18075 | ||||||||
\(95\) | 6.28822 | + | 7.80560i | 0.645157 | + | 0.800838i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | 17.7708i | 1.80435i | 0.431366 | + | 0.902177i | \(0.358032\pi\) | ||||
−0.431366 | + | 0.902177i | \(0.641968\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.67701 | −0.168546 | ||||||||
\(100\) | 1.06430 | − | 4.88541i | 0.106430 | − | 0.488541i | ||||
\(101\) | −8.00000 | −0.796030 | −0.398015 | − | 0.917379i | \(-0.630301\pi\) | ||||
−0.398015 | + | 0.917379i | \(0.630301\pi\) | |||||||
\(102\) | − | 7.61121i | − | 0.753622i | ||||||
\(103\) | − | 13.6112i | − | 1.34115i | −0.741841 | − | 0.670576i | \(-0.766047\pi\) | ||
0.741841 | − | 0.670576i | \(-0.233953\pi\) | |||||||
\(104\) | −4.48261 | −0.439556 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 9.57643 | 0.930145 | ||||||||
\(107\) | − | 3.87141i | − | 0.374263i | −0.982335 | − | 0.187132i | \(-0.940081\pi\) | ||
0.982335 | − | 0.187132i | \(-0.0599191\pi\) | |||||||
\(108\) | 1.00000i | 0.0962250i | ||||||||
\(109\) | −17.2224 | −1.64961 | −0.824804 | − | 0.565419i | \(-0.808715\pi\) | ||||
−0.824804 | + | 0.565419i | \(0.808715\pi\) | |||||||
\(110\) | −2.92019 | + | 2.35251i | −0.278429 | + | 0.224303i | ||||
\(111\) | −0.482613 | −0.0458076 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 8.96523i | − | 0.843378i | −0.906741 | − | 0.421689i | \(-0.861437\pi\) | ||
0.906741 | − | 0.421689i | \(-0.138563\pi\) | |||||||
\(114\) | −4.48261 | −0.419835 | ||||||||
\(115\) | −0.840377 | + | 0.677010i | −0.0783656 | + | 0.0631315i | ||||
\(116\) | 1.19440 | 0.110897 | ||||||||
\(117\) | − | 4.48261i | − | 0.414418i | ||||||
\(118\) | 5.77083i | 0.531248i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 1.40280 | + | 1.74131i | 0.128058 | + | 0.158959i | ||||
\(121\) | −8.18764 | −0.744331 | ||||||||
\(122\) | 10.5764i | 0.957545i | ||||||||
\(123\) | − | 12.0938i | − | 1.09046i | ||||||
\(124\) | 3.48261 | 0.312748 | ||||||||
\(125\) | 10.0000 | − | 5.00000i | 0.894427 | − | 0.447214i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 13.9342i | − | 1.23646i | −0.785997 | − | 0.618230i | \(-0.787850\pi\) | ||
0.785997 | − | 0.618230i | \(-0.212150\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 2.00000 | 0.176090 | ||||||||
\(130\) | −6.28822 | − | 7.80560i | −0.551513 | − | 0.684597i | ||||
\(131\) | 3.28822 | 0.287293 | 0.143646 | − | 0.989629i | \(-0.454117\pi\) | ||||
0.143646 | + | 0.989629i | \(0.454117\pi\) | |||||||
\(132\) | − | 1.67701i | − | 0.145965i | ||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 3.35402 | 0.289743 | ||||||||
\(135\) | −1.74131 | + | 1.40280i | −0.149868 | + | 0.120734i | ||||
\(136\) | 7.61121 | 0.652656 | ||||||||
\(137\) | 4.25719i | 0.363716i | 0.983325 | + | 0.181858i | \(0.0582111\pi\) | ||||
−0.983325 | + | 0.181858i | \(0.941789\pi\) | |||||||
\(138\) | − | 0.482613i | − | 0.0410827i | ||||||
\(139\) | −18.9652 | −1.60861 | −0.804305 | − | 0.594217i | \(-0.797462\pi\) | ||||
−0.804305 | + | 0.594217i | \(0.797462\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −11.4478 | −0.964082 | ||||||||
\(142\) | − | 6.00000i | − | 0.503509i | ||||||
\(143\) | 7.51739i | 0.628635i | ||||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | 1.67550 | + | 2.07981i | 0.139143 | + | 0.172719i | ||||
\(146\) | 4.00000 | 0.331042 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 0.482613i | − | 0.0396705i | ||||||
\(149\) | −7.03477 | −0.576311 | −0.288156 | − | 0.957584i | \(-0.593042\pi\) | ||||
−0.288156 | + | 0.957584i | \(0.593042\pi\) | |||||||
\(150\) | −1.06430 | + | 4.88541i | −0.0868994 | + | 0.398892i | ||||
\(151\) | −6.44784 | −0.524718 | −0.262359 | − | 0.964970i | \(-0.584500\pi\) | ||||
−0.262359 | + | 0.964970i | \(0.584500\pi\) | |||||||
\(152\) | − | 4.48261i | − | 0.363588i | ||||||
\(153\) | 7.61121i | 0.615330i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.88541 | + | 6.06430i | 0.392406 | + | 0.487096i | ||||
\(156\) | 4.48261 | 0.358896 | ||||||||
\(157\) | 0.0938186i | 0.00748754i | 0.999993 | + | 0.00374377i | \(0.00119168\pi\) | ||||
−0.999993 | + | 0.00374377i | \(0.998808\pi\) | |||||||
\(158\) | 4.51739i | 0.359384i | ||||||||
\(159\) | −9.57643 | −0.759460 | ||||||||
\(160\) | −1.74131 | + | 1.40280i | −0.137662 | + | 0.110901i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | 20.5764i | 1.61167i | 0.592140 | + | 0.805835i | \(0.298283\pi\) | ||||
−0.592140 | + | 0.805835i | \(0.701717\pi\) | |||||||
\(164\) | 12.0938 | 0.944369 | ||||||||
\(165\) | 2.92019 | − | 2.35251i | 0.227336 | − | 0.183143i | ||||
\(166\) | 1.87141 | 0.145249 | ||||||||
\(167\) | − | 14.0938i | − | 1.09061i | −0.838237 | − | 0.545306i | \(-0.816413\pi\) | ||
0.838237 | − | 0.545306i | \(-0.183587\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.09382 | −0.545678 | ||||||||
\(170\) | 10.6770 | + | 13.2534i | 0.818889 | + | 1.01649i | ||||
\(171\) | 4.48261 | 0.342794 | ||||||||
\(172\) | 2.00000i | 0.152499i | ||||||||
\(173\) | 1.12859i | 0.0858053i | 0.999079 | + | 0.0429027i | \(0.0136605\pi\) | ||||
−0.999079 | + | 0.0429027i | \(0.986339\pi\) | |||||||
\(174\) | −1.19440 | −0.0905470 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.67701 | 0.126409 | ||||||||
\(177\) | − | 5.77083i | − | 0.433762i | ||||||
\(178\) | − | 3.35402i | − | 0.251394i | ||||||
\(179\) | 3.44784 | 0.257704 | 0.128852 | − | 0.991664i | \(-0.458871\pi\) | ||||
0.128852 | + | 0.991664i | \(0.458871\pi\) | |||||||
\(180\) | −1.40280 | − | 1.74131i | −0.104559 | − | 0.129789i | ||||
\(181\) | 22.8957 | 1.70182 | 0.850911 | − | 0.525310i | \(-0.176050\pi\) | ||||
0.850911 | + | 0.525310i | \(0.176050\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 10.5764i | − | 0.781832i | ||||||
\(184\) | 0.482613 | 0.0355787 | ||||||||
\(185\) | 0.840377 | − | 0.677010i | 0.0617857 | − | 0.0497748i | ||||
\(186\) | −3.48261 | −0.255358 | ||||||||
\(187\) | − | 12.7641i | − | 0.933401i | ||||||
\(188\) | − | 11.4478i | − | 0.834919i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 7.80560 | − | 6.28822i | 0.566278 | − | 0.456195i | ||||
\(191\) | 25.1529 | 1.82000 | 0.909999 | − | 0.414611i | \(-0.136082\pi\) | ||||
0.909999 | + | 0.414611i | \(0.136082\pi\) | |||||||
\(192\) | − | 1.00000i | − | 0.0721688i | ||||||
\(193\) | − | 12.8056i | − | 0.921767i | −0.887461 | − | 0.460884i | \(-0.847533\pi\) | ||
0.887461 | − | 0.460884i | \(-0.152467\pi\) | |||||||
\(194\) | 17.7708 | 1.27587 | ||||||||
\(195\) | 6.28822 | + | 7.80560i | 0.450308 | + | 0.558971i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 2.87141i | − | 0.204579i | −0.994755 | − | 0.102290i | \(-0.967383\pi\) | ||
0.994755 | − | 0.102290i | \(-0.0326169\pi\) | |||||||
\(198\) | 1.67701i | 0.119180i | ||||||||
\(199\) | 3.03477 | 0.215129 | 0.107565 | − | 0.994198i | \(-0.465695\pi\) | ||||
0.107565 | + | 0.994198i | \(0.465695\pi\) | |||||||
\(200\) | −4.88541 | − | 1.06430i | −0.345451 | − | 0.0752571i | ||||
\(201\) | −3.35402 | −0.236574 | ||||||||
\(202\) | 8.00000i | 0.562878i | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −7.61121 | −0.532891 | ||||||||
\(205\) | 16.9652 | + | 21.0590i | 1.18490 | + | 1.47083i | ||||
\(206\) | −13.6112 | −0.948338 | ||||||||
\(207\) | 0.482613i | 0.0335439i | ||||||||
\(208\) | 4.48261i | 0.310813i | ||||||||
\(209\) | −7.51739 | −0.519989 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.4826 | −0.721653 | −0.360826 | − | 0.932633i | \(-0.617505\pi\) | ||||
−0.360826 | + | 0.932633i | \(0.617505\pi\) | |||||||
\(212\) | − | 9.57643i | − | 0.657712i | ||||||
\(213\) | 6.00000i | 0.411113i | ||||||||
\(214\) | −3.87141 | −0.264644 | ||||||||
\(215\) | −3.48261 | + | 2.80560i | −0.237512 | + | 0.191341i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 17.2224i | 1.16645i | ||||||||
\(219\) | −4.00000 | −0.270295 | ||||||||
\(220\) | 2.35251 | + | 2.92019i | 0.158606 | + | 0.196879i | ||||
\(221\) | 34.1181 | 2.29503 | ||||||||
\(222\) | 0.482613i | 0.0323909i | ||||||||
\(223\) | − | 15.1248i | − | 1.01283i | −0.862288 | − | 0.506417i | \(-0.830970\pi\) | ||
0.862288 | − | 0.506417i | \(-0.169030\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.06430 | − | 4.88541i | 0.0709531 | − | 0.325694i | ||||
\(226\) | −8.96523 | −0.596358 | ||||||||
\(227\) | − | 21.0938i | − | 1.40005i | −0.714120 | − | 0.700023i | \(-0.753173\pi\) | ||
0.714120 | − | 0.700023i | \(-0.246827\pi\) | |||||||
\(228\) | 4.48261i | 0.296868i | ||||||||
\(229\) | 23.2224 | 1.53458 | 0.767290 | − | 0.641300i | \(-0.221605\pi\) | ||||
0.767290 | + | 0.641300i | \(0.221605\pi\) | |||||||
\(230\) | 0.677010 | + | 0.840377i | 0.0446407 | + | 0.0554128i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 1.19440i | − | 0.0784160i | ||||||
\(233\) | 8.57643i | 0.561861i | 0.959728 | + | 0.280930i | \(0.0906430\pi\) | ||||
−0.959728 | + | 0.280930i | \(0.909357\pi\) | |||||||
\(234\) | −4.48261 | −0.293038 | ||||||||
\(235\) | 19.9342 | − | 16.0590i | 1.30036 | − | 1.04758i | ||||
\(236\) | 5.77083 | 0.375649 | ||||||||
\(237\) | − | 4.51739i | − | 0.293436i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.57643 | 0.296025 | 0.148012 | − | 0.988986i | \(-0.452712\pi\) | ||||
0.148012 | + | 0.988986i | \(0.452712\pi\) | |||||||
\(240\) | 1.74131 | − | 1.40280i | 0.112401 | − | 0.0905504i | ||||
\(241\) | 9.96523 | 0.641917 | 0.320958 | − | 0.947093i | \(-0.395995\pi\) | ||||
0.320958 | + | 0.947093i | \(0.395995\pi\) | |||||||
\(242\) | 8.18764i | 0.526321i | ||||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 10.5764 | 0.677087 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −12.0938 | −0.771074 | ||||||||
\(247\) | − | 20.0938i | − | 1.27854i | ||||||
\(248\) | − | 3.48261i | − | 0.221146i | ||||||
\(249\) | −1.87141 | −0.118596 | ||||||||
\(250\) | −5.00000 | − | 10.0000i | −0.316228 | − | 0.632456i | ||||
\(251\) | −4.38505 | −0.276782 | −0.138391 | − | 0.990378i | \(-0.544193\pi\) | ||||
−0.138391 | + | 0.990378i | \(0.544193\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 0.809347i | − | 0.0508832i | ||||||
\(254\) | −13.9342 | −0.874309 | ||||||||
\(255\) | −10.6770 | − | 13.2534i | −0.668620 | − | 0.829963i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | − | 4.70804i | − | 0.293679i | −0.989160 | − | 0.146840i | \(-0.953090\pi\) | ||
0.989160 | − | 0.146840i | \(-0.0469102\pi\) | |||||||
\(258\) | − | 2.00000i | − | 0.124515i | ||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −7.80560 | + | 6.28822i | −0.484083 | + | 0.389979i | ||||
\(261\) | 1.19440 | 0.0739313 | ||||||||
\(262\) | − | 3.28822i | − | 0.203147i | ||||||
\(263\) | − | 16.3192i | − | 1.00629i | −0.864203 | − | 0.503144i | \(-0.832177\pi\) | ||
0.864203 | − | 0.503144i | \(-0.167823\pi\) | |||||||
\(264\) | −1.67701 | −0.103213 | ||||||||
\(265\) | 16.6755 | − | 13.4338i | 1.02437 | − | 0.825234i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.35402i | 0.205263i | ||||||||
\(268\) | − | 3.35402i | − | 0.204879i | ||||||
\(269\) | 19.7708 | 1.20545 | 0.602724 | − | 0.797949i | \(-0.294082\pi\) | ||||
0.602724 | + | 0.797949i | \(0.294082\pi\) | |||||||
\(270\) | 1.40280 | + | 1.74131i | 0.0853718 | + | 0.105973i | ||||
\(271\) | −2.26020 | −0.137297 | −0.0686487 | − | 0.997641i | \(-0.521869\pi\) | ||||
−0.0686487 | + | 0.997641i | \(0.521869\pi\) | |||||||
\(272\) | − | 7.61121i | − | 0.461497i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.25719 | 0.257186 | ||||||||
\(275\) | −1.78484 | + | 8.19289i | −0.107630 | + | 0.494050i | ||||
\(276\) | −0.482613 | −0.0290499 | ||||||||
\(277\) | 18.2572i | 1.09697i | 0.836161 | + | 0.548484i | \(0.184795\pi\) | ||||
−0.836161 | + | 0.548484i | \(0.815205\pi\) | |||||||
\(278\) | 18.9652i | 1.13746i | ||||||||
\(279\) | 3.48261 | 0.208499 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.4826 | 0.625340 | 0.312670 | − | 0.949862i | \(-0.398777\pi\) | ||||
0.312670 | + | 0.949862i | \(0.398777\pi\) | |||||||
\(282\) | 11.4478i | 0.681709i | ||||||||
\(283\) | 0.708040i | 0.0420886i | 0.999779 | + | 0.0210443i | \(0.00669911\pi\) | ||||
−0.999779 | + | 0.0210443i | \(0.993301\pi\) | |||||||
\(284\) | −6.00000 | −0.356034 | ||||||||
\(285\) | −7.80560 | + | 6.28822i | −0.462364 | + | 0.372482i | ||||
\(286\) | 7.51739 | 0.444512 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 1.00000i | 0.0589256i | ||||||||
\(289\) | −40.9305 | −2.40767 | ||||||||
\(290\) | 2.07981 | − | 1.67550i | 0.122131 | − | 0.0983889i | ||||
\(291\) | −17.7708 | −1.04174 | ||||||||
\(292\) | − | 4.00000i | − | 0.234082i | ||||||
\(293\) | 12.6112i | 0.736755i | 0.929676 | + | 0.368377i | \(0.120087\pi\) | ||||
−0.929676 | + | 0.368377i | \(0.879913\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.09533 | + | 10.0488i | 0.471328 | + | 0.585063i | ||||
\(296\) | −0.482613 | −0.0280513 | ||||||||
\(297\) | − | 1.67701i | − | 0.0973100i | ||||||
\(298\) | 7.03477i | 0.407514i | ||||||||
\(299\) | 2.16337 | 0.125111 | ||||||||
\(300\) | 4.88541 | + | 1.06430i | 0.282060 | + | 0.0614472i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 6.44784i | 0.371031i | ||||||||
\(303\) | − | 8.00000i | − | 0.459588i | ||||||
\(304\) | −4.48261 | −0.257095 | ||||||||
\(305\) | 14.8366 | + | 18.4168i | 0.849543 | + | 1.05454i | ||||
\(306\) | 7.61121 | 0.435104 | ||||||||
\(307\) | − | 9.54166i | − | 0.544571i | −0.962216 | − | 0.272286i | \(-0.912220\pi\) | ||
0.962216 | − | 0.272286i | \(-0.0877795\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 13.6112 | 0.774314 | ||||||||
\(310\) | 6.06430 | − | 4.88541i | 0.344429 | − | 0.277473i | ||||
\(311\) | −20.9652 | −1.18883 | −0.594414 | − | 0.804159i | \(-0.702616\pi\) | ||||
−0.594414 | + | 0.804159i | \(0.702616\pi\) | |||||||
\(312\) | − | 4.48261i | − | 0.253778i | ||||||
\(313\) | − | 15.1944i | − | 0.858838i | −0.903105 | − | 0.429419i | \(-0.858718\pi\) | ||
0.903105 | − | 0.429419i | \(-0.141282\pi\) | |||||||
\(314\) | 0.0938186 | 0.00529449 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.51739 | 0.254123 | ||||||||
\(317\) | 18.4478i | 1.03613i | 0.855340 | + | 0.518067i | \(0.173348\pi\) | ||||
−0.855340 | + | 0.518067i | \(0.826652\pi\) | |||||||
\(318\) | 9.57643i | 0.537020i | ||||||||
\(319\) | −2.00302 | −0.112147 | ||||||||
\(320\) | 1.40280 | + | 1.74131i | 0.0784190 | + | 0.0973420i | ||||
\(321\) | 3.87141 | 0.216081 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 34.1181i | 1.89838i | ||||||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −21.8994 | − | 4.77083i | −1.21476 | − | 0.264638i | ||||
\(326\) | 20.5764 | 1.13962 | ||||||||
\(327\) | − | 17.2224i | − | 0.952402i | ||||||
\(328\) | − | 12.0938i | − | 0.667769i | ||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −2.35251 | − | 2.92019i | −0.129502 | − | 0.160751i | ||||
\(331\) | 22.8019 | 1.25330 | 0.626652 | − | 0.779299i | \(-0.284425\pi\) | ||||
0.626652 | + | 0.779299i | \(0.284425\pi\) | |||||||
\(332\) | − | 1.87141i | − | 0.102707i | ||||||
\(333\) | − | 0.482613i | − | 0.0264470i | ||||||
\(334\) | −14.0938 | −0.771179 | ||||||||
\(335\) | 5.84038 | − | 4.70502i | 0.319094 | − | 0.257063i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.12485i | 0.497062i | 0.968624 | + | 0.248531i | \(0.0799478\pi\) | ||||
−0.968624 | + | 0.248531i | \(0.920052\pi\) | |||||||
\(338\) | 7.09382i | 0.385853i | ||||||||
\(339\) | 8.96523 | 0.486924 | ||||||||
\(340\) | 13.2534 | − | 10.6770i | 0.718769 | − | 0.579042i | ||||
\(341\) | −5.84038 | −0.316274 | ||||||||
\(342\) | − | 4.48261i | − | 0.242392i | ||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 2.00000 | 0.107833 | ||||||||
\(345\) | −0.677010 | − | 0.840377i | −0.0364490 | − | 0.0452444i | ||||
\(346\) | 1.12859 | 0.0606735 | ||||||||
\(347\) | − | 19.2224i | − | 1.03191i | −0.856615 | − | 0.515957i | \(-0.827437\pi\) | ||
0.856615 | − | 0.515957i | \(-0.172563\pi\) | |||||||
\(348\) | 1.19440i | 0.0640264i | ||||||||
\(349\) | 6.18764 | 0.331217 | 0.165608 | − | 0.986192i | \(-0.447041\pi\) | ||||
0.165608 | + | 0.986192i | \(0.447041\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.48261 | 0.239264 | ||||||||
\(352\) | − | 1.67701i | − | 0.0893849i | ||||||
\(353\) | − | 11.2224i | − | 0.597309i | −0.954361 | − | 0.298654i | \(-0.903462\pi\) | ||
0.954361 | − | 0.298654i | \(-0.0965378\pi\) | |||||||
\(354\) | −5.77083 | −0.306716 | ||||||||
\(355\) | −8.41681 | − | 10.4478i | −0.446718 | − | 0.554514i | ||||
\(356\) | −3.35402 | −0.177763 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 3.44784i | − | 0.182224i | ||||||
\(359\) | −9.61121 | −0.507260 | −0.253630 | − | 0.967301i | \(-0.581625\pi\) | ||||
−0.253630 | + | 0.967301i | \(0.581625\pi\) | |||||||
\(360\) | −1.74131 | + | 1.40280i | −0.0917749 | + | 0.0739341i | ||||
\(361\) | 1.09382 | 0.0575694 | ||||||||
\(362\) | − | 22.8957i | − | 1.20337i | ||||||
\(363\) | − | 8.18764i | − | 0.429740i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 6.96523 | − | 5.61121i | 0.364577 | − | 0.293704i | ||||
\(366\) | −10.5764 | −0.552839 | ||||||||
\(367\) | 26.2534i | 1.37042i | 0.728346 | + | 0.685209i | \(0.240289\pi\) | ||||
−0.728346 | + | 0.685209i | \(0.759711\pi\) | |||||||
\(368\) | − | 0.482613i | − | 0.0251579i | ||||||
\(369\) | 12.0938 | 0.629579 | ||||||||
\(370\) | −0.677010 | − | 0.840377i | −0.0351961 | − | 0.0436891i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 3.48261i | 0.180565i | ||||||||
\(373\) | − | 17.4796i | − | 0.905059i | −0.891749 | − | 0.452530i | \(-0.850522\pi\) | ||
0.891749 | − | 0.452530i | \(-0.149478\pi\) | |||||||
\(374\) | −12.7641 | −0.660014 | ||||||||
\(375\) | 5.00000 | + | 10.0000i | 0.258199 | + | 0.516398i | ||||
\(376\) | −11.4478 | −0.590377 | ||||||||
\(377\) | − | 5.35402i | − | 0.275746i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −32.2815 | −1.65819 | −0.829094 | − | 0.559110i | \(-0.811143\pi\) | ||||
−0.829094 | + | 0.559110i | \(0.811143\pi\) | |||||||
\(380\) | −6.28822 | − | 7.80560i | −0.322579 | − | 0.400419i | ||||
\(381\) | 13.9342 | 0.713870 | ||||||||
\(382\) | − | 25.1529i | − | 1.28693i | ||||||
\(383\) | − | 18.0938i | − | 0.924551i | −0.886736 | − | 0.462275i | \(-0.847033\pi\) | ||
0.886736 | − | 0.462275i | \(-0.152967\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −12.8056 | −0.651788 | ||||||||
\(387\) | 2.00000i | 0.101666i | ||||||||
\(388\) | − | 17.7708i | − | 0.902177i | ||||||
\(389\) | 8.18764 | 0.415130 | 0.207565 | − | 0.978221i | \(-0.433446\pi\) | ||||
0.207565 | + | 0.978221i | \(0.433446\pi\) | |||||||
\(390\) | 7.80560 | − | 6.28822i | 0.395252 | − | 0.318416i | ||||
\(391\) | −3.67327 | −0.185765 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.28822i | 0.165869i | ||||||||
\(394\) | −2.87141 | −0.144659 | ||||||||
\(395\) | 6.33700 | + | 7.86616i | 0.318849 | + | 0.395789i | ||||
\(396\) | 1.67701 | 0.0842729 | ||||||||
\(397\) | 36.1876i | 1.81621i | 0.418747 | + | 0.908103i | \(0.362469\pi\) | ||||
−0.418747 | + | 0.908103i | \(0.637531\pi\) | |||||||
\(398\) | − | 3.03477i | − | 0.152119i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.06430 | + | 4.88541i | −0.0532148 | + | 0.244271i | ||||
\(401\) | −30.9895 | −1.54754 | −0.773771 | − | 0.633466i | \(-0.781632\pi\) | ||||
−0.773771 | + | 0.633466i | \(0.781632\pi\) | |||||||
\(402\) | 3.35402i | 0.167283i | ||||||||
\(403\) | − | 15.6112i | − | 0.777650i | ||||||
\(404\) | 8.00000 | 0.398015 | ||||||||
\(405\) | −1.40280 | − | 1.74131i | −0.0697058 | − | 0.0865262i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.809347i | 0.0401178i | ||||||||
\(408\) | 7.61121i | 0.376811i | ||||||||
\(409\) | −13.0938 | −0.647448 | −0.323724 | − | 0.946152i | \(-0.604935\pi\) | ||||
−0.323724 | + | 0.946152i | \(0.604935\pi\) | |||||||
\(410\) | 21.0590 | − | 16.9652i | 1.04003 | − | 0.837853i | ||||
\(411\) | −4.25719 | −0.209991 | ||||||||
\(412\) | 13.6112i | 0.670576i | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0.482613 | 0.0237191 | ||||||||
\(415\) | 3.25869 | − | 2.62521i | 0.159963 | − | 0.128867i | ||||
\(416\) | 4.48261 | 0.219778 | ||||||||
\(417\) | − | 18.9652i | − | 0.928731i | ||||||
\(418\) | 7.51739i | 0.367687i | ||||||||
\(419\) | −33.3783 | −1.63064 | −0.815318 | − | 0.579013i | \(-0.803438\pi\) | ||||
−0.815318 | + | 0.579013i | \(0.803438\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.90317 | −0.336440 | −0.168220 | − | 0.985750i | \(-0.553802\pi\) | ||||
−0.168220 | + | 0.985750i | \(0.553802\pi\) | |||||||
\(422\) | 10.4826i | 0.510286i | ||||||||
\(423\) | − | 11.4478i | − | 0.556613i | ||||||
\(424\) | −9.57643 | −0.465073 | ||||||||
\(425\) | 37.1839 | + | 8.10058i | 1.80368 | + | 0.392936i | ||||
\(426\) | 6.00000 | 0.290701 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 3.87141i | 0.187132i | ||||||||
\(429\) | −7.51739 | −0.362943 | ||||||||
\(430\) | 2.80560 | + | 3.48261i | 0.135298 | + | 0.167947i | ||||
\(431\) | −26.1181 | −1.25806 | −0.629032 | − | 0.777379i | \(-0.716549\pi\) | ||||
−0.629032 | + | 0.777379i | \(0.716549\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | − | 25.9305i | − | 1.24614i | −0.782167 | − | 0.623069i | \(-0.785886\pi\) | ||
0.782167 | − | 0.623069i | \(-0.214114\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.07981 | + | 1.67550i | −0.0997193 | + | 0.0803342i | ||||
\(436\) | 17.2224 | 0.824804 | ||||||||
\(437\) | 2.16337i | 0.103488i | ||||||||
\(438\) | 4.00000i | 0.191127i | ||||||||
\(439\) | 7.55216 | 0.360445 | 0.180222 | − | 0.983626i | \(-0.442318\pi\) | ||||
0.180222 | + | 0.983626i | \(0.442318\pi\) | |||||||
\(440\) | 2.92019 | − | 2.35251i | 0.139215 | − | 0.112152i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 34.1181i | − | 1.62283i | ||||||
\(443\) | − | 24.3162i | − | 1.15530i | −0.816285 | − | 0.577649i | \(-0.803970\pi\) | ||
0.816285 | − | 0.577649i | \(-0.196030\pi\) | |||||||
\(444\) | 0.482613 | 0.0229038 | ||||||||
\(445\) | −4.70502 | − | 5.84038i | −0.223040 | − | 0.276860i | ||||
\(446\) | −15.1248 | −0.716182 | ||||||||
\(447\) | − | 7.03477i | − | 0.332733i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −14.7398 | −0.695614 | −0.347807 | − | 0.937566i | \(-0.613074\pi\) | ||||
−0.347807 | + | 0.937566i | \(0.613074\pi\) | |||||||
\(450\) | −4.88541 | − | 1.06430i | −0.230301 | − | 0.0501714i | ||||
\(451\) | −20.2815 | −0.955016 | ||||||||
\(452\) | 8.96523i | 0.421689i | ||||||||
\(453\) | − | 6.44784i | − | 0.302946i | ||||||
\(454\) | −21.0938 | −0.989982 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 4.48261 | 0.209918 | ||||||||
\(457\) | 0.805603i | 0.0376845i | 0.999822 | + | 0.0188423i | \(0.00599803\pi\) | ||||
−0.999822 | + | 0.0188423i | \(0.994002\pi\) | |||||||
\(458\) | − | 23.2224i | − | 1.08511i | ||||||
\(459\) | −7.61121 | −0.355261 | ||||||||
\(460\) | 0.840377 | − | 0.677010i | 0.0391828 | − | 0.0315658i | ||||
\(461\) | 23.8609 | 1.11131 | 0.555657 | − | 0.831412i | \(-0.312467\pi\) | ||||
0.555657 | + | 0.831412i | \(0.312467\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 9.19065i | − | 0.427126i | −0.976929 | − | 0.213563i | \(-0.931493\pi\) | ||
0.976929 | − | 0.213563i | \(-0.0685068\pi\) | |||||||
\(464\) | −1.19440 | −0.0554485 | ||||||||
\(465\) | −6.06430 | + | 4.88541i | −0.281225 | + | 0.226556i | ||||
\(466\) | 8.57643 | 0.397296 | ||||||||
\(467\) | 22.1181i | 1.02350i | 0.859133 | + | 0.511752i | \(0.171003\pi\) | ||||
−0.859133 | + | 0.511752i | \(0.828997\pi\) | |||||||
\(468\) | 4.48261i | 0.207209i | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −16.0590 | − | 19.9342i | −0.740748 | − | 0.919496i | ||||
\(471\) | −0.0938186 | −0.00432293 | ||||||||
\(472\) | − | 5.77083i | − | 0.265624i | ||||||
\(473\) | − | 3.35402i | − | 0.154218i | ||||||
\(474\) | −4.51739 | −0.207490 | ||||||||
\(475\) | 4.77083 | − | 21.8994i | 0.218901 | − | 1.00481i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 9.57643i | − | 0.438475i | ||||||
\(478\) | − | 4.57643i | − | 0.209321i | ||||||
\(479\) | 33.4100 | 1.52654 | 0.763272 | − | 0.646077i | \(-0.223592\pi\) | ||||
0.763272 | + | 0.646077i | \(0.223592\pi\) | |||||||
\(480\) | −1.40280 | − | 1.74131i | −0.0640288 | − | 0.0794794i | ||||
\(481\) | −2.16337 | −0.0986410 | ||||||||
\(482\) | − | 9.96523i | − | 0.453904i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 8.18764 | 0.372165 | ||||||||
\(485\) | 30.9445 | − | 24.9289i | 1.40512 | − | 1.13197i | ||||
\(486\) | 1.00000 | 0.0453609 | ||||||||
\(487\) | − | 2.34726i | − | 0.106365i | −0.998585 | − | 0.0531823i | \(-0.983064\pi\) | ||
0.998585 | − | 0.0531823i | \(-0.0169364\pi\) | |||||||
\(488\) | − | 10.5764i | − | 0.478773i | ||||||
\(489\) | −20.5764 | −0.930498 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 23.3820 | 1.05522 | 0.527608 | − | 0.849488i | \(-0.323089\pi\) | ||||
0.527608 | + | 0.849488i | \(0.323089\pi\) | |||||||
\(492\) | 12.0938i | 0.545231i | ||||||||
\(493\) | 9.09080i | 0.409429i | ||||||||
\(494\) | −20.0938 | −0.904064 | ||||||||
\(495\) | 2.35251 | + | 2.92019i | 0.105738 | + | 0.131253i | ||||
\(496\) | −3.48261 | −0.156374 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 1.87141i | 0.0838598i | ||||||||
\(499\) | −14.9652 | −0.669936 | −0.334968 | − | 0.942230i | \(-0.608725\pi\) | ||||
−0.334968 | + | 0.942230i | \(0.608725\pi\) | |||||||
\(500\) | −10.0000 | + | 5.00000i | −0.447214 | + | 0.223607i | ||||
\(501\) | 14.0938 | 0.629665 | ||||||||
\(502\) | 4.38505i | 0.195714i | ||||||||
\(503\) | 5.35402i | 0.238724i | 0.992851 | + | 0.119362i | \(0.0380849\pi\) | ||||
−0.992851 | + | 0.119362i | \(0.961915\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.2224 | + | 13.9305i | 0.499391 | + | 0.619897i | ||||
\(506\) | −0.809347 | −0.0359799 | ||||||||
\(507\) | − | 7.09382i | − | 0.315048i | ||||||
\(508\) | 13.9342i | 0.618230i | ||||||||
\(509\) | 20.9237 | 0.927426 | 0.463713 | − | 0.885985i | \(-0.346517\pi\) | ||||
0.463713 | + | 0.885985i | \(0.346517\pi\) | |||||||
\(510\) | −13.2534 | + | 10.6770i | −0.586872 | + | 0.472786i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 4.48261i | 0.197912i | ||||||||
\(514\) | −4.70804 | −0.207663 | ||||||||
\(515\) | −23.7013 | + | 19.0938i | −1.04440 | + | 0.841374i | ||||
\(516\) | −2.00000 | −0.0880451 | ||||||||
\(517\) | 19.1981i | 0.844333i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.12859 | −0.0495397 | ||||||||
\(520\) | 6.28822 | + | 7.80560i | 0.275757 | + | 0.342298i | ||||
\(521\) | 4.35100 | 0.190621 | 0.0953105 | − | 0.995448i | \(-0.469616\pi\) | ||||
0.0953105 | + | 0.995448i | \(0.469616\pi\) | |||||||
\(522\) | − | 1.19440i | − | 0.0522773i | ||||||
\(523\) | − | 39.2845i | − | 1.71779i | −0.512152 | − | 0.858895i | \(-0.671151\pi\) | ||
0.512152 | − | 0.858895i | \(-0.328849\pi\) | |||||||
\(524\) | −3.28822 | −0.143646 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −16.3192 | −0.711553 | ||||||||
\(527\) | 26.5069i | 1.15466i | ||||||||
\(528\) | 1.67701i | 0.0729825i | ||||||||
\(529\) | 22.7671 | 0.989873 | ||||||||
\(530\) | −13.4338 | − | 16.6755i | −0.583528 | − | 0.724338i | ||||
\(531\) | 5.77083 | 0.250433 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 54.2119i | − | 2.34818i | ||||||
\(534\) | 3.35402 | 0.145143 | ||||||||
\(535\) | −6.74131 | + | 5.43082i | −0.291452 | + | 0.234795i | ||||
\(536\) | −3.35402 | −0.144872 | ||||||||
\(537\) | 3.44784i | 0.148785i | ||||||||
\(538\) | − | 19.7708i | − | 0.852381i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 1.74131 | − | 1.40280i | 0.0749339 | − | 0.0603670i | ||||
\(541\) | 14.9032 | 0.640737 | 0.320369 | − | 0.947293i | \(-0.396193\pi\) | ||||
0.320369 | + | 0.947293i | \(0.396193\pi\) | |||||||
\(542\) | 2.26020i | 0.0970840i | ||||||||
\(543\) | 22.8957i | 0.982548i | ||||||||
\(544\) | −7.61121 | −0.326328 | ||||||||
\(545\) | 24.1596 | + | 29.9895i | 1.03488 | + | 1.28461i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 43.9865i | 1.88073i | 0.340173 | + | 0.940363i | \(0.389515\pi\) | ||||
−0.340173 | + | 0.940363i | \(0.610485\pi\) | |||||||
\(548\) | − | 4.25719i | − | 0.181858i | ||||||
\(549\) | 10.5764 | 0.451391 | ||||||||
\(550\) | 8.19289 | + | 1.78484i | 0.349346 | + | 0.0761057i | ||||
\(551\) | 5.35402 | 0.228089 | ||||||||
\(552\) | 0.482613i | 0.0205414i | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 18.2572 | 0.775673 | ||||||||
\(555\) | 0.677010 | + | 0.840377i | 0.0287375 | + | 0.0356720i | ||||
\(556\) | 18.9652 | 0.804305 | ||||||||
\(557\) | − | 4.86839i | − | 0.206280i | −0.994667 | − | 0.103140i | \(-0.967111\pi\) | ||
0.994667 | − | 0.103140i | \(-0.0328890\pi\) | |||||||
\(558\) | − | 3.48261i | − | 0.147431i | ||||||
\(559\) | 8.96523 | 0.379189 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.7641 | 0.538899 | ||||||||
\(562\) | − | 10.4826i | − | 0.442182i | ||||||
\(563\) | 5.35100i | 0.225518i | 0.993622 | + | 0.112759i | \(0.0359688\pi\) | ||||
−0.993622 | + | 0.112759i | \(0.964031\pi\) | |||||||
\(564\) | 11.4478 | 0.482041 | ||||||||
\(565\) | −15.6112 | + | 12.5764i | −0.656768 | + | 0.529094i | ||||
\(566\) | 0.708040 | 0.0297612 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 6.00000i | 0.251754i | ||||||||
\(569\) | −8.15588 | −0.341912 | −0.170956 | − | 0.985279i | \(-0.554686\pi\) | ||||
−0.170956 | + | 0.985279i | \(0.554686\pi\) | |||||||
\(570\) | 6.28822 | + | 7.80560i | 0.263384 | + | 0.326941i | ||||
\(571\) | −5.61121 | −0.234822 | −0.117411 | − | 0.993083i | \(-0.537459\pi\) | ||||
−0.117411 | + | 0.993083i | \(0.537459\pi\) | |||||||
\(572\) | − | 7.51739i | − | 0.314318i | ||||||
\(573\) | 25.1529i | 1.05078i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.35776 | + | 0.513643i | 0.0983256 | + | 0.0214204i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | − | 4.67399i | − | 0.194581i | −0.995256 | − | 0.0972905i | \(-0.968982\pi\) | ||
0.995256 | − | 0.0972905i | \(-0.0310176\pi\) | |||||||
\(578\) | 40.9305i | 1.70248i | ||||||||
\(579\) | 12.8056 | 0.532183 | ||||||||
\(580\) | −1.67550 | − | 2.07981i | −0.0695714 | − | 0.0863595i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 17.7708i | 0.736625i | ||||||||
\(583\) | 16.0598i | 0.665128i | ||||||||
\(584\) | −4.00000 | −0.165521 | ||||||||
\(585\) | −7.80560 | + | 6.28822i | −0.322722 | + | 0.259986i | ||||
\(586\) | 12.6112 | 0.520964 | ||||||||
\(587\) | − | 18.9062i | − | 0.780342i | −0.920742 | − | 0.390171i | \(-0.872416\pi\) | ||
0.920742 | − | 0.390171i | \(-0.127584\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15.6112 | 0.643249 | ||||||||
\(590\) | 10.0488 | − | 8.09533i | 0.413702 | − | 0.333279i | ||||
\(591\) | 2.87141 | 0.118114 | ||||||||
\(592\) | 0.482613i | 0.0198353i | ||||||||
\(593\) | 21.5417i | 0.884610i | 0.896865 | + | 0.442305i | \(0.145839\pi\) | ||||
−0.896865 | + | 0.442305i | \(0.854161\pi\) | |||||||
\(594\) | −1.67701 | −0.0688086 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 7.03477 | 0.288156 | ||||||||
\(597\) | 3.03477i | 0.124205i | ||||||||
\(598\) | − | 2.16337i | − | 0.0884667i | ||||||
\(599\) | −34.7641 | −1.42042 | −0.710211 | − | 0.703989i | \(-0.751400\pi\) | ||||
−0.710211 | + | 0.703989i | \(0.751400\pi\) | |||||||
\(600\) | 1.06430 | − | 4.88541i | 0.0434497 | − | 0.199446i | ||||
\(601\) | 4.19814 | 0.171246 | 0.0856229 | − | 0.996328i | \(-0.472712\pi\) | ||||
0.0856229 | + | 0.996328i | \(0.472712\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 3.35402i | − | 0.136586i | ||||||
\(604\) | 6.44784 | 0.262359 | ||||||||
\(605\) | 11.4856 | + | 14.2572i | 0.466957 | + | 0.579637i | ||||
\(606\) | −8.00000 | −0.324978 | ||||||||
\(607\) | 42.1218i | 1.70967i | 0.518898 | + | 0.854836i | \(0.326342\pi\) | ||||
−0.518898 | + | 0.854836i | \(0.673658\pi\) | |||||||
\(608\) | 4.48261i | 0.181794i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 18.4168 | − | 14.8366i | 0.745675 | − | 0.600718i | ||||
\(611\) | −51.3162 | −2.07603 | ||||||||
\(612\) | − | 7.61121i | − | 0.307665i | ||||||
\(613\) | − | 18.5522i | − | 0.749315i | −0.927163 | − | 0.374657i | \(-0.877760\pi\) | ||
0.927163 | − | 0.374657i | \(-0.122240\pi\) | |||||||
\(614\) | −9.54166 | −0.385070 | ||||||||
\(615\) | −21.0590 | + | 16.9652i | −0.849183 | + | 0.684104i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 13.4236i | 0.540413i | 0.962802 | + | 0.270206i | \(0.0870919\pi\) | ||||
−0.962802 | + | 0.270206i | \(0.912908\pi\) | |||||||
\(618\) | − | 13.6112i | − | 0.547523i | ||||||
\(619\) | 31.1211 | 1.25086 | 0.625431 | − | 0.780279i | \(-0.284923\pi\) | ||||
0.625431 | + | 0.780279i | \(0.284923\pi\) | |||||||
\(620\) | −4.88541 | − | 6.06430i | −0.196203 | − | 0.243548i | ||||
\(621\) | −0.482613 | −0.0193666 | ||||||||
\(622\) | 20.9652i | 0.840629i | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −4.48261 | −0.179448 | ||||||||
\(625\) | −22.7345 | − | 10.3991i | −0.909382 | − | 0.415962i | ||||
\(626\) | −15.1944 | −0.607290 | ||||||||
\(627\) | − | 7.51739i | − | 0.300216i | ||||||
\(628\) | − | 0.0938186i | − | 0.00374377i | ||||||
\(629\) | 3.67327 | 0.146463 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.15588 | −0.0460148 | −0.0230074 | − | 0.999735i | \(-0.507324\pi\) | ||||
−0.0230074 | + | 0.999735i | \(0.507324\pi\) | |||||||
\(632\) | − | 4.51739i | − | 0.179692i | ||||||
\(633\) | − | 10.4826i | − | 0.416646i | ||||||
\(634\) | 18.4478 | 0.732657 | ||||||||
\(635\) | −24.2637 | + | 19.5469i | −0.962876 | + | 0.775695i | ||||
\(636\) | 9.57643 | 0.379730 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 2.00302i | 0.0793002i | ||||||||
\(639\) | −6.00000 | −0.237356 | ||||||||
\(640\) | 1.74131 | − | 1.40280i | 0.0688312 | − | 0.0554506i | ||||
\(641\) | −15.0590 | −0.594796 | −0.297398 | − | 0.954754i | \(-0.596119\pi\) | ||||
−0.297398 | + | 0.954754i | \(0.596119\pi\) | |||||||
\(642\) | − | 3.87141i | − | 0.152792i | ||||||
\(643\) | 35.2149i | 1.38874i | 0.719618 | + | 0.694371i | \(0.244317\pi\) | ||||
−0.719618 | + | 0.694371i | \(0.755683\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.80560 | − | 3.48261i | −0.110471 | − | 0.137128i | ||||
\(646\) | 34.1181 | 1.34236 | ||||||||
\(647\) | − | 4.41306i | − | 0.173495i | −0.996230 | − | 0.0867477i | \(-0.972353\pi\) | ||
0.996230 | − | 0.0867477i | \(-0.0276474\pi\) | |||||||
\(648\) | 1.00000i | 0.0392837i | ||||||||
\(649\) | −9.67774 | −0.379884 | ||||||||
\(650\) | −4.77083 | + | 21.8994i | −0.187127 | + | 0.858966i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | − | 20.5764i | − | 0.805835i | ||||||
\(653\) | − | 18.0968i | − | 0.708184i | −0.935211 | − | 0.354092i | \(-0.884790\pi\) | ||
0.935211 | − | 0.354092i | \(-0.115210\pi\) | |||||||
\(654\) | −17.2224 | −0.673450 | ||||||||
\(655\) | −4.61271 | − | 5.72579i | −0.180234 | − | 0.223725i | ||||
\(656\) | −12.0938 | −0.472184 | ||||||||
\(657\) | − | 4.00000i | − | 0.156055i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −25.6112 | −0.997671 | −0.498835 | − | 0.866697i | \(-0.666239\pi\) | ||||
−0.498835 | + | 0.866697i | \(0.666239\pi\) | |||||||
\(660\) | −2.92019 | + | 2.35251i | −0.113668 | + | 0.0915714i | ||||
\(661\) | 22.2497 | 0.865413 | 0.432706 | − | 0.901535i | \(-0.357559\pi\) | ||||
0.432706 | + | 0.901535i | \(0.357559\pi\) | |||||||
\(662\) | − | 22.8019i | − | 0.886219i | ||||||
\(663\) | 34.1181i | 1.32504i | ||||||||
\(664\) | −1.87141 | −0.0726247 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.482613 | −0.0187009 | ||||||||
\(667\) | 0.576432i | 0.0223195i | ||||||||
\(668\) | 14.0938i | 0.545306i | ||||||||
\(669\) | 15.1248 | 0.584760 | ||||||||
\(670\) | −4.70502 | − | 5.84038i | −0.181771 | − | 0.225633i | ||||
\(671\) | −17.7368 | −0.684721 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 36.5349i | 1.40832i | 0.710043 | + | 0.704158i | \(0.248676\pi\) | ||||
−0.710043 | + | 0.704158i | \(0.751324\pi\) | |||||||
\(674\) | 9.12485 | 0.351476 | ||||||||
\(675\) | 4.88541 | + | 1.06430i | 0.188040 | + | 0.0409648i | ||||
\(676\) | 7.09382 | 0.272839 | ||||||||
\(677\) | − | 28.6112i | − | 1.09962i | −0.835290 | − | 0.549809i | \(-0.814701\pi\) | ||
0.835290 | − | 0.549809i | \(-0.185299\pi\) | |||||||
\(678\) | − | 8.96523i | − | 0.344307i | ||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −10.6770 | − | 13.2534i | −0.409445 | − | 0.508246i | ||||
\(681\) | 21.0938 | 0.808317 | ||||||||
\(682\) | 5.84038i | 0.223640i | ||||||||
\(683\) | 12.5099i | 0.478678i | 0.970936 | + | 0.239339i | \(0.0769307\pi\) | ||||
−0.970936 | + | 0.239339i | \(0.923069\pi\) | |||||||
\(684\) | −4.48261 | −0.171397 | ||||||||
\(685\) | 7.41306 | − | 5.97199i | 0.283239 | − | 0.228178i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 23.2224i | 0.885990i | ||||||||
\(688\) | − | 2.00000i | − | 0.0762493i | ||||||
\(689\) | −42.9274 | −1.63541 | ||||||||
\(690\) | −0.840377 | + | 0.677010i | −0.0319926 | + | 0.0257733i | ||||
\(691\) | 18.4448 | 0.701674 | 0.350837 | − | 0.936437i | \(-0.385897\pi\) | ||||
0.350837 | + | 0.936437i | \(0.385897\pi\) | |||||||
\(692\) | − | 1.12859i | − | 0.0429027i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −19.2224 | −0.729673 | ||||||||
\(695\) | 26.6044 | + | 33.0243i | 1.00916 | + | 1.25268i | ||||
\(696\) | 1.19440 | 0.0452735 | ||||||||
\(697\) | 92.0485i | 3.48659i | ||||||||
\(698\) | − | 6.18764i | − | 0.234206i | ||||||
\(699\) | −8.57643 | −0.324390 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.15962 | −0.0815678 | −0.0407839 | − | 0.999168i | \(-0.512986\pi\) | ||||
−0.0407839 | + | 0.999168i | \(0.512986\pi\) | |||||||
\(702\) | − | 4.48261i | − | 0.169185i | ||||||
\(703\) | − | 2.16337i | − | 0.0815929i | ||||||
\(704\) | −1.67701 | −0.0632047 | ||||||||
\(705\) | 16.0590 | + | 19.9342i | 0.604819 | + | 0.750765i | ||||
\(706\) | −11.2224 | −0.422361 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 5.77083i | 0.216881i | ||||||||
\(709\) | 19.6037 | 0.736233 | 0.368117 | − | 0.929780i | \(-0.380003\pi\) | ||||
0.368117 | + | 0.929780i | \(0.380003\pi\) | |||||||
\(710\) | −10.4478 | + | 8.41681i | −0.392100 | + | 0.315877i | ||||
\(711\) | 4.51739 | 0.169415 | ||||||||
\(712\) | 3.35402i | 0.125697i | ||||||||
\(713\) | 1.68075i | 0.0629447i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 13.0901 | − | 10.5454i | 0.489541 | − | 0.394376i | ||||
\(716\) | −3.44784 | −0.128852 | ||||||||
\(717\) | 4.57643i | 0.170910i | ||||||||
\(718\) | 9.61121i | 0.358687i | ||||||||
\(719\) | −53.0213 | −1.97736 | −0.988680 | − | 0.150042i | \(-0.952059\pi\) | ||||
−0.988680 | + | 0.150042i | \(0.952059\pi\) | |||||||
\(720\) | 1.40280 | + | 1.74131i | 0.0522793 | + | 0.0648947i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | − | 1.09382i | − | 0.0407077i | ||||||
\(723\) | 9.96523i | 0.370611i | ||||||||
\(724\) | −22.8957 | −0.850911 | ||||||||
\(725\) | 1.27119 | − | 5.83513i | 0.0472109 | − | 0.216711i | ||||
\(726\) | −8.18764 | −0.303872 | ||||||||
\(727\) | 28.3155i | 1.05016i | 0.851052 | + | 0.525082i | \(0.175965\pi\) | ||||
−0.851052 | + | 0.525082i | \(0.824035\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −5.61121 | − | 6.96523i | −0.207680 | − | 0.257795i | ||||
\(731\) | −15.2224 | −0.563021 | ||||||||
\(732\) | 10.5764i | 0.390916i | ||||||||
\(733\) | 24.9895i | 0.923008i | 0.887138 | + | 0.461504i | \(0.152690\pi\) | ||||
−0.887138 | + | 0.461504i | \(0.847310\pi\) | |||||||
\(734\) | 26.2534 | 0.969032 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.482613 | −0.0177893 | ||||||||
\(737\) | 5.62473i | 0.207189i | ||||||||
\(738\) | − | 12.0938i | − | 0.445180i | ||||||
\(739\) | −43.2467 | −1.59085 | −0.795427 | − | 0.606049i | \(-0.792754\pi\) | ||||
−0.795427 | + | 0.606049i | \(0.792754\pi\) | |||||||
\(740\) | −0.840377 | + | 0.677010i | −0.0308929 | + | 0.0248874i | ||||
\(741\) | 20.0938 | 0.738165 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 21.9062i | − | 0.803660i | −0.915714 | − | 0.401830i | \(-0.868374\pi\) | ||
0.915714 | − | 0.401830i | \(-0.131626\pi\) | |||||||
\(744\) | 3.48261 | 0.127679 | ||||||||
\(745\) | 9.86839 | + | 12.2497i | 0.361550 | + | 0.448794i | ||||
\(746\) | −17.4796 | −0.639974 | ||||||||
\(747\) | − | 1.87141i | − | 0.0684712i | ||||||
\(748\) | 12.7641i | 0.466701i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 10.0000 | − | 5.00000i | 0.365148 | − | 0.182574i | ||||
\(751\) | 26.8927 | 0.981327 | 0.490664 | − | 0.871349i | \(-0.336754\pi\) | ||||
0.490664 | + | 0.871349i | \(0.336754\pi\) | |||||||
\(752\) | 11.4478i | 0.417460i | ||||||||
\(753\) | − | 4.38505i | − | 0.159800i | ||||||
\(754\) | −5.35402 | −0.194982 | ||||||||
\(755\) | 9.04504 | + | 11.2277i | 0.329183 | + | 0.408617i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 11.1529i | − | 0.405358i | −0.979245 | − | 0.202679i | \(-0.935035\pi\) | ||
0.979245 | − | 0.202679i | \(-0.0649647\pi\) | |||||||
\(758\) | 32.2815i | 1.17252i | ||||||||
\(759\) | 0.809347 | 0.0293774 | ||||||||
\(760\) | −7.80560 | + | 6.28822i | −0.283139 | + | 0.228098i | ||||
\(761\) | 1.58694 | 0.0575264 | 0.0287632 | − | 0.999586i | \(-0.490843\pi\) | ||||
0.0287632 | + | 0.999586i | \(0.490843\pi\) | |||||||
\(762\) | − | 13.9342i | − | 0.504783i | ||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −25.1529 | −0.909999 | ||||||||
\(765\) | 13.2534 | − | 10.6770i | 0.479179 | − | 0.386028i | ||||
\(766\) | −18.0938 | −0.653756 | ||||||||
\(767\) | − | 25.8684i | − | 0.934053i | ||||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | −19.2572 | −0.694432 | −0.347216 | − | 0.937785i | \(-0.612873\pi\) | ||||
−0.347216 | + | 0.937785i | \(0.612873\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.70804 | 0.169556 | ||||||||
\(772\) | 12.8056i | 0.460884i | ||||||||
\(773\) | 30.2815i | 1.08915i | 0.838713 | + | 0.544574i | \(0.183309\pi\) | ||||
−0.838713 | + | 0.544574i | \(0.816691\pi\) | |||||||
\(774\) | 2.00000 | 0.0718885 | ||||||||
\(775\) | 3.70653 | − | 17.0140i | 0.133143 | − | 0.611161i | ||||
\(776\) | −17.7708 | −0.637936 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 8.18764i | − | 0.293541i | ||||||
\(779\) | 54.2119 | 1.94234 | ||||||||
\(780\) | −6.28822 | − | 7.80560i | −0.225154 | − | 0.279485i | ||||
\(781\) | 10.0621 | 0.360049 | ||||||||
\(782\) | 3.67327i | 0.131356i | ||||||||
\(783\) | 1.19440i | 0.0426843i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.163367 | − | 0.131609i | 0.00583081 | − | 0.00469732i | ||||
\(786\) | 3.28822 | 0.117287 | ||||||||
\(787\) | 33.2224i | 1.18425i | 0.805846 | + | 0.592126i | \(0.201711\pi\) | ||||
−0.805846 | + | 0.592126i | \(0.798289\pi\) | |||||||
\(788\) | 2.87141i | 0.102290i | ||||||||
\(789\) | 16.3192 | 0.580981 | ||||||||
\(790\) | 7.86616 | − | 6.33700i | 0.279865 | − | 0.225460i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | − | 1.67701i | − | 0.0595900i | ||||||
\(793\) | − | 47.4100i | − | 1.68358i | ||||||
\(794\) | 36.1876 | 1.28425 | ||||||||
\(795\) | 13.4338 | + | 16.6755i | 0.476449 | + | 0.591419i | ||||
\(796\) | −3.03477 | −0.107565 | ||||||||
\(797\) | 41.7883i | 1.48022i | 0.672486 | + | 0.740109i | \(0.265226\pi\) | ||||
−0.672486 | + | 0.740109i | \(0.734774\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 87.1319 | 3.08250 | ||||||||
\(800\) | 4.88541 | + | 1.06430i | 0.172725 | + | 0.0376286i | ||||
\(801\) | −3.35402 | −0.118508 | ||||||||
\(802\) | 30.9895i | 1.09428i | ||||||||
\(803\) | 6.70804i | 0.236722i | ||||||||
\(804\) | 3.35402 | 0.118287 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −15.6112 | −0.549881 | ||||||||
\(807\) | 19.7708i | 0.695966i | ||||||||
\(808\) | − | 8.00000i | − | 0.281439i | ||||||
\(809\) | −5.05904 | −0.177867 | −0.0889333 | − | 0.996038i | \(-0.528346\pi\) | ||||
−0.0889333 | + | 0.996038i | \(0.528346\pi\) | |||||||
\(810\) | −1.74131 | + | 1.40280i | −0.0611833 | + | 0.0492894i | ||||
\(811\) | −33.5039 | −1.17648 | −0.588240 | − | 0.808686i | \(-0.700179\pi\) | ||||
−0.588240 | + | 0.808686i | \(0.700179\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 2.26020i | − | 0.0792687i | ||||||
\(814\) | 0.809347 | 0.0283676 | ||||||||
\(815\) | 35.8299 | − | 28.8646i | 1.25507 | − | 1.01108i | ||||
\(816\) | 7.61121 | 0.266445 | ||||||||
\(817\) | 8.96523i | 0.313654i | ||||||||
\(818\) | 13.0938i | 0.457815i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −16.9652 | − | 21.0590i | −0.592451 | − | 0.735414i | ||||
\(821\) | 29.7013 | 1.03658 | 0.518291 | − | 0.855204i | \(-0.326568\pi\) | ||||
0.518291 | + | 0.855204i | \(0.326568\pi\) | |||||||
\(822\) | 4.25719i | 0.148486i | ||||||||
\(823\) | − | 38.2497i | − | 1.33330i | −0.745371 | − | 0.666650i | \(-0.767727\pi\) | ||
0.745371 | − | 0.666650i | \(-0.232273\pi\) | |||||||
\(824\) | 13.6112 | 0.474169 | ||||||||
\(825\) | −8.19289 | − | 1.78484i | −0.285240 | − | 0.0621400i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 13.3510i | − | 0.464260i | −0.972685 | − | 0.232130i | \(-0.925431\pi\) | ||
0.972685 | − | 0.232130i | \(-0.0745695\pi\) | |||||||
\(828\) | − | 0.482613i | − | 0.0167720i | ||||||
\(829\) | 3.61121 | 0.125422 | 0.0627112 | − | 0.998032i | \(-0.480025\pi\) | ||||
0.0627112 | + | 0.998032i | \(0.480025\pi\) | |||||||
\(830\) | −2.62521 | − | 3.25869i | −0.0911225 | − | 0.113111i | ||||
\(831\) | −18.2572 | −0.633335 | ||||||||
\(832\) | − | 4.48261i | − | 0.155407i | ||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −18.9652 | −0.656712 | ||||||||
\(835\) | −24.5417 | + | 19.7708i | −0.849299 | + | 0.684198i | ||||
\(836\) | 7.51739 | 0.259994 | ||||||||
\(837\) | 3.48261i | 0.120377i | ||||||||
\(838\) | 33.3783i | 1.15303i | ||||||||
\(839\) | −1.68075 | −0.0580261 | −0.0290130 | − | 0.999579i | \(-0.509236\pi\) | ||||
−0.0290130 | + | 0.999579i | \(0.509236\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −27.5734 | −0.950807 | ||||||||
\(842\) | 6.90317i | 0.237899i | ||||||||
\(843\) | 10.4826i | 0.361040i | ||||||||
\(844\) | 10.4826 | 0.360826 | ||||||||
\(845\) | 9.95122 | + | 12.3525i | 0.342332 | + | 0.424939i | ||||
\(846\) | −11.4478 | −0.393585 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 9.57643i | 0.328856i | ||||||||
\(849\) | −0.708040 | −0.0242999 | ||||||||
\(850\) | 8.10058 | − | 37.1839i | 0.277848 | − | 1.27540i | ||||
\(851\) | 0.232915 | 0.00798423 | ||||||||
\(852\) | − | 6.00000i | − | 0.205557i | ||||||
\(853\) | 1.70502i | 0.0583789i | 0.999574 | + | 0.0291895i | \(0.00929261\pi\) | ||||
−0.999574 | + | 0.0291895i | \(0.990707\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −6.28822 | − | 7.80560i | −0.215052 | − | 0.266946i | ||||
\(856\) | 3.87141 | 0.132322 | ||||||||
\(857\) | 28.6945i | 0.980186i | 0.871670 | + | 0.490093i | \(0.163037\pi\) | ||||
−0.871670 | + | 0.490093i | \(0.836963\pi\) | |||||||
\(858\) | 7.51739i | 0.256639i | ||||||||
\(859\) | 26.7641 | 0.913178 | 0.456589 | − | 0.889678i | \(-0.349071\pi\) | ||||
0.456589 | + | 0.889678i | \(0.349071\pi\) | |||||||
\(860\) | 3.48261 | − | 2.80560i | 0.118756 | − | 0.0956703i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 26.1181i | 0.889586i | ||||||||
\(863\) | − | 32.0243i | − | 1.09012i | −0.838397 | − | 0.545059i | \(-0.816507\pi\) | ||
0.838397 | − | 0.545059i | \(-0.183493\pi\) | |||||||
\(864\) | −1.00000 | −0.0340207 | ||||||||
\(865\) | 1.96523 | − | 1.58319i | 0.0668197 | − | 0.0538301i | ||||
\(866\) | −25.9305 | −0.881153 | ||||||||
\(867\) | − | 40.9305i | − | 1.39007i | ||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −7.57570 | −0.256988 | ||||||||
\(870\) | 1.67550 | + | 2.07981i | 0.0568048 | + | 0.0705122i | ||||
\(871\) | −15.0348 | −0.509434 | ||||||||
\(872\) | − | 17.2224i | − | 0.583224i | ||||||
\(873\) | − | 17.7708i | − | 0.601451i | ||||||
\(874\) | 2.16337 | 0.0731770 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.00000 | 0.135147 | ||||||||
\(877\) | 18.1634i | 0.613333i | 0.951817 | + | 0.306667i | \(0.0992137\pi\) | ||||
−0.951817 | + | 0.306667i | \(0.900786\pi\) | |||||||
\(878\) | − | 7.55216i | − | 0.254873i | ||||||
\(879\) | −12.6112 | −0.425365 | ||||||||
\(880\) | −2.35251 | − | 2.92019i | −0.0793032 | − | 0.0984395i | ||||
\(881\) | −24.2254 | −0.816175 | −0.408088 | − | 0.912943i | \(-0.633804\pi\) | ||||
−0.408088 | + | 0.912943i | \(0.633804\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 32.3753i | − | 1.08951i | −0.838594 | − | 0.544757i | \(-0.816622\pi\) | ||
0.838594 | − | 0.544757i | \(-0.183378\pi\) | |||||||
\(884\) | −34.1181 | −1.14752 | ||||||||
\(885\) | −10.0488 | + | 8.09533i | −0.337786 | + | 0.272121i | ||||
\(886\) | −24.3162 | −0.816920 | ||||||||
\(887\) | − | 32.9517i | − | 1.10641i | −0.833045 | − | 0.553205i | \(-0.813405\pi\) | ||
0.833045 | − | 0.553205i | \(-0.186595\pi\) | |||||||
\(888\) | − | 0.482613i | − | 0.0161954i | ||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −5.84038 | + | 4.70502i | −0.195770 | + | 0.157713i | ||||
\(891\) | 1.67701 | 0.0561820 | ||||||||
\(892\) | 15.1248i | 0.506417i | ||||||||
\(893\) | − | 51.3162i | − | 1.71723i | ||||||
\(894\) | −7.03477 | −0.235278 | ||||||||
\(895\) | −4.83663 | − | 6.00374i | −0.161671 | − | 0.200683i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 2.16337i | 0.0722327i | ||||||||
\(898\) | 14.7398i | 0.491873i | ||||||||
\(899\) | 4.15962 | 0.138731 | ||||||||
\(900\) | −1.06430 | + | 4.88541i | −0.0354765 | + | 0.162847i | ||||
\(901\) | 72.8882 | 2.42826 | ||||||||
\(902\) | 20.2815i | 0.675299i | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 8.96523 | 0.298179 | ||||||||
\(905\) | −32.1181 | − | 39.8684i | −1.06764 | − | 1.32527i | ||||
\(906\) | −6.44784 | −0.214215 | ||||||||
\(907\) | 7.93794i | 0.263575i | 0.991278 | + | 0.131787i | \(0.0420716\pi\) | ||||
−0.991278 | + | 0.131787i | \(0.957928\pi\) | |||||||
\(908\) | 21.0938i | 0.700023i | ||||||||
\(909\) | 8.00000 | 0.265343 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −6.00000 | −0.198789 | −0.0993944 | − | 0.995048i | \(-0.531691\pi\) | ||||
−0.0993944 | + | 0.995048i | \(0.531691\pi\) | |||||||
\(912\) | − | 4.48261i | − | 0.148434i | ||||||
\(913\) | 3.13837i | 0.103865i | ||||||||
\(914\) | 0.805603 | 0.0266470 | ||||||||
\(915\) | −18.4168 | + | 14.8366i | −0.608841 | + | 0.490484i | ||||
\(916\) | −23.2224 | −0.767290 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 7.61121i | 0.251207i | ||||||||
\(919\) | −1.15286 | −0.0380294 | −0.0190147 | − | 0.999819i | \(-0.506053\pi\) | ||||
−0.0190147 | + | 0.999819i | \(0.506053\pi\) | |||||||
\(920\) | −0.677010 | − | 0.840377i | −0.0223204 | − | 0.0277064i | ||||
\(921\) | 9.54166 | 0.314408 | ||||||||
\(922\) | − | 23.8609i | − | 0.785817i | ||||||
\(923\) | 26.8957i | 0.885282i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.35776 | − | 0.513643i | −0.0775228 | − | 0.0168885i | ||||
\(926\) | −9.19065 | −0.302024 | ||||||||
\(927\) | 13.6112i | 0.447051i | ||||||||
\(928\) | 1.19440i | 0.0392080i | ||||||||
\(929\) | −58.9199 | −1.93310 | −0.966550 | − | 0.256477i | \(-0.917438\pi\) | ||||
−0.966550 | + | 0.256477i | \(0.917438\pi\) | |||||||
\(930\) | 4.88541 | + | 6.06430i | 0.160199 | + | 0.198856i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | − | 8.57643i | − | 0.280930i | ||||||
\(933\) | − | 20.9652i | − | 0.686371i | ||||||
\(934\) | 22.1181 | 0.723726 | ||||||||
\(935\) | −22.2262 | + | 17.9055i | −0.726873 | + | 0.585571i | ||||
\(936\) | 4.48261 | 0.146519 | ||||||||
\(937\) | 42.4168i | 1.38570i | 0.721083 | + | 0.692848i | \(0.243644\pi\) | ||||
−0.721083 | + | 0.692848i | \(0.756356\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 15.1944 | 0.495850 | ||||||||
\(940\) | −19.9342 | + | 16.0590i | −0.650182 | + | 0.523788i | ||||
\(941\) | 42.6665 | 1.39089 | 0.695444 | − | 0.718580i | \(-0.255208\pi\) | ||||
0.695444 | + | 0.718580i | \(0.255208\pi\) | |||||||
\(942\) | 0.0938186i | 0.00305677i | ||||||||
\(943\) | 5.83663i | 0.190067i | ||||||||
\(944\) | −5.77083 | −0.187824 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.35402 | −0.109049 | ||||||||
\(947\) | − | 53.7914i | − | 1.74798i | −0.485940 | − | 0.873992i | \(-0.661523\pi\) | ||
0.485940 | − | 0.873992i | \(-0.338477\pi\) | |||||||
\(948\) | 4.51739i | 0.146718i | ||||||||
\(949\) | −17.9305 | −0.582047 | ||||||||
\(950\) | −21.8994 | − | 4.77083i | −0.710511 | − | 0.154786i | ||||
\(951\) | −18.4478 | −0.598212 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 6.24970i | − | 0.202448i | −0.994864 | − | 0.101224i | \(-0.967724\pi\) | ||
0.994864 | − | 0.101224i | \(-0.0322758\pi\) | |||||||
\(954\) | −9.57643 | −0.310048 | ||||||||
\(955\) | −35.2845 | − | 43.7988i | −1.14178 | − | 1.41730i | ||||
\(956\) | −4.57643 | −0.148012 | ||||||||
\(957\) | − | 2.00302i | − | 0.0647483i | ||||||
\(958\) | − | 33.4100i | − | 1.07943i | ||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −1.74131 | + | 1.40280i | −0.0562004 | + | 0.0452752i | ||||
\(961\) | −18.8714 | −0.608755 | ||||||||
\(962\) | 2.16337i | 0.0697497i | ||||||||
\(963\) | 3.87141i | 0.124754i | ||||||||
\(964\) | −9.96523 | −0.320958 | ||||||||
\(965\) | −22.2985 | + | 17.9637i | −0.717813 | + | 0.578273i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 31.9585i | − | 1.02771i | −0.857876 | − | 0.513857i | \(-0.828216\pi\) | ||
0.857876 | − | 0.513857i | \(-0.171784\pi\) | |||||||
\(968\) | − | 8.18764i | − | 0.263161i | ||||||
\(969\) | −34.1181 | −1.09603 | ||||||||
\(970\) | −24.9289 | − | 30.9445i | −0.800420 | − | 0.993567i | ||||
\(971\) | −23.0175 | −0.738667 | −0.369334 | − | 0.929297i | \(-0.620414\pi\) | ||||
−0.369334 | + | 0.929297i | \(0.620414\pi\) | |||||||
\(972\) | − | 1.00000i | − | 0.0320750i | ||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −2.34726 | −0.0752111 | ||||||||
\(975\) | 4.77083 | − | 21.8994i | 0.152789 | − | 0.701343i | ||||
\(976\) | −10.5764 | −0.338543 | ||||||||
\(977\) | 7.86839i | 0.251732i | 0.992047 | + | 0.125866i | \(0.0401710\pi\) | ||||
−0.992047 | + | 0.125866i | \(0.959829\pi\) | |||||||
\(978\) | 20.5764i | 0.657962i | ||||||||
\(979\) | 5.62473 | 0.179767 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 17.2224 | 0.549869 | ||||||||
\(982\) | − | 23.3820i | − | 0.746151i | ||||||
\(983\) | − | 12.0938i | − | 0.385733i | −0.981225 | − | 0.192866i | \(-0.938222\pi\) | ||
0.981225 | − | 0.192866i | \(-0.0617784\pi\) | |||||||
\(984\) | 12.0938 | 0.385537 | ||||||||
\(985\) | −5.00000 | + | 4.02801i | −0.159313 | + | 0.128343i | ||||
\(986\) | 9.09080 | 0.289510 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 20.0938i | 0.639270i | ||||||||
\(989\) | −0.965226 | −0.0306924 | ||||||||
\(990\) | 2.92019 | − | 2.35251i | 0.0928097 | − | 0.0747677i | ||||
\(991\) | 26.3783 | 0.837934 | 0.418967 | − | 0.908001i | \(-0.362392\pi\) | ||||
0.418967 | + | 0.908001i | \(0.362392\pi\) | |||||||
\(992\) | 3.48261i | 0.110573i | ||||||||
\(993\) | 22.8019i | 0.723595i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.25719 | − | 5.28447i | −0.134962 | − | 0.167529i | ||||
\(996\) | 1.87141 | 0.0592978 | ||||||||
\(997\) | 15.0908i | 0.477931i | 0.971028 | + | 0.238965i | \(0.0768082\pi\) | ||||
−0.971028 | + | 0.238965i | \(0.923192\pi\) | |||||||
\(998\) | 14.9652i | 0.473716i | ||||||||
\(999\) | 0.482613 | 0.0152692 |
(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 | 1470.2.g.i.589.1 | 6 | ||
5.2 | odd | 4 | 7350.2.a.dq.1.2 | 3 | |||
5.3 | odd | 4 | 7350.2.a.dn.1.2 | 3 | |||
5.4 | even | 2 | inner | 1470.2.g.i.589.4 | 6 | ||
7.2 | even | 3 | 210.2.n.b.109.2 | yes | 12 | ||
7.3 | odd | 6 | 1470.2.n.j.79.4 | 12 | |||
7.4 | even | 3 | 210.2.n.b.79.6 | yes | 12 | ||
7.5 | odd | 6 | 1470.2.n.j.949.2 | 12 | |||
7.6 | odd | 2 | 1470.2.g.h.589.3 | 6 | |||
21.2 | odd | 6 | 630.2.u.f.109.5 | 12 | |||
21.11 | odd | 6 | 630.2.u.f.289.1 | 12 | |||
28.11 | odd | 6 | 1680.2.di.c.289.3 | 12 | |||
28.23 | odd | 6 | 1680.2.di.c.529.5 | 12 | |||
35.2 | odd | 12 | 1050.2.i.u.151.3 | 6 | |||
35.4 | even | 6 | 210.2.n.b.79.2 | ✓ | 12 | ||
35.9 | even | 6 | 210.2.n.b.109.6 | yes | 12 | ||
35.13 | even | 4 | 7350.2.a.do.1.2 | 3 | |||
35.18 | odd | 12 | 1050.2.i.v.751.1 | 6 | |||
35.19 | odd | 6 | 1470.2.n.j.949.4 | 12 | |||
35.23 | odd | 12 | 1050.2.i.v.151.1 | 6 | |||
35.24 | odd | 6 | 1470.2.n.j.79.2 | 12 | |||
35.27 | even | 4 | 7350.2.a.dp.1.2 | 3 | |||
35.32 | odd | 12 | 1050.2.i.u.751.3 | 6 | |||
35.34 | odd | 2 | 1470.2.g.h.589.6 | 6 | |||
105.44 | odd | 6 | 630.2.u.f.109.1 | 12 | |||
105.74 | odd | 6 | 630.2.u.f.289.5 | 12 | |||
140.39 | odd | 6 | 1680.2.di.c.289.5 | 12 | |||
140.79 | odd | 6 | 1680.2.di.c.529.3 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.n.b.79.2 | ✓ | 12 | 35.4 | even | 6 | ||
210.2.n.b.79.6 | yes | 12 | 7.4 | even | 3 | ||
210.2.n.b.109.2 | yes | 12 | 7.2 | even | 3 | ||
210.2.n.b.109.6 | yes | 12 | 35.9 | even | 6 | ||
630.2.u.f.109.1 | 12 | 105.44 | odd | 6 | |||
630.2.u.f.109.5 | 12 | 21.2 | odd | 6 | |||
630.2.u.f.289.1 | 12 | 21.11 | odd | 6 | |||
630.2.u.f.289.5 | 12 | 105.74 | odd | 6 | |||
1050.2.i.u.151.3 | 6 | 35.2 | odd | 12 | |||
1050.2.i.u.751.3 | 6 | 35.32 | odd | 12 | |||
1050.2.i.v.151.1 | 6 | 35.23 | odd | 12 | |||
1050.2.i.v.751.1 | 6 | 35.18 | odd | 12 | |||
1470.2.g.h.589.3 | 6 | 7.6 | odd | 2 | |||
1470.2.g.h.589.6 | 6 | 35.34 | odd | 2 | |||
1470.2.g.i.589.1 | 6 | 1.1 | even | 1 | trivial | ||
1470.2.g.i.589.4 | 6 | 5.4 | even | 2 | inner | ||
1470.2.n.j.79.2 | 12 | 35.24 | odd | 6 | |||
1470.2.n.j.79.4 | 12 | 7.3 | odd | 6 | |||
1470.2.n.j.949.2 | 12 | 7.5 | odd | 6 | |||
1470.2.n.j.949.4 | 12 | 35.19 | odd | 6 | |||
1680.2.di.c.289.3 | 12 | 28.11 | odd | 6 | |||
1680.2.di.c.289.5 | 12 | 140.39 | odd | 6 | |||
1680.2.di.c.529.3 | 12 | 140.79 | odd | 6 | |||
1680.2.di.c.529.5 | 12 | 28.23 | odd | 6 | |||
7350.2.a.dn.1.2 | 3 | 5.3 | odd | 4 | |||
7350.2.a.do.1.2 | 3 | 35.13 | even | 4 | |||
7350.2.a.dp.1.2 | 3 | 35.27 | even | 4 | |||
7350.2.a.dq.1.2 | 3 | 5.2 | odd | 4 |