Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1008,2,Mod(367,1008)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1008, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1008.367");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1008 = 2^{4} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1008.cz (of order \(6\), degree \(2\), 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: | \(8.04892052375\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 607.1 | ||
Character | \(\chi\) | \(=\) | 1008.607 |
Dual form | 1008.2.cz.g.367.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1008\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(577\) | \(757\) | \(785\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.72726 | − | 0.128734i | −0.997234 | − | 0.0743244i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.43562 | − | 1.40621i | 1.08924 | − | 0.628874i | 0.155867 | − | 0.987778i | \(-0.450183\pi\) |
0.933374 | + | 0.358904i | \(0.116849\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.717569 | − | 2.54659i | −0.271215 | − | 0.962519i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.96686 | + | 0.444713i | 0.988952 | + | 0.148238i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.29039 | + | 1.32236i | 0.690580 | + | 0.398706i | 0.803829 | − | 0.594860i | \(-0.202793\pi\) |
−0.113249 | + | 0.993567i | \(0.536126\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.59264 | + | 2.65156i | 1.27377 | + | 0.735411i | 0.975695 | − | 0.219131i | \(-0.0703223\pi\) |
0.298074 | + | 0.954543i | \(0.403656\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.38797 | + | 2.11534i | −1.13297 | + | 0.546177i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.35660 | + | 1.36058i | −0.571560 | + | 0.329990i | −0.757772 | − | 0.652519i | \(-0.773712\pi\) |
0.186212 | + | 0.982510i | \(0.440379\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.274171 | − | 0.474878i | 0.0628991 | − | 0.108944i | −0.832861 | − | 0.553482i | \(-0.813299\pi\) |
0.895760 | + | 0.444538i | \(0.146632\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.911596 | + | 4.49099i | 0.198927 | + | 0.980014i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.98081 | − | 1.14362i | 0.413028 | − | 0.238462i | −0.279062 | − | 0.960273i | \(-0.590023\pi\) |
0.692090 | + | 0.721811i | \(0.256690\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.45483 | − | 2.51983i | 0.290965 | − | 0.503966i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.06728 | − | 1.15007i | −0.975199 | − | 0.221331i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.72965 | − | 6.45995i | −0.692579 | − | 1.19958i | −0.970990 | − | 0.239121i | \(-0.923141\pi\) |
0.278410 | − | 0.960462i | \(-0.410192\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.76772 | 0.497098 | 0.248549 | − | 0.968619i | \(-0.420046\pi\) | ||||
0.248549 | + | 0.968619i | \(0.420046\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.78587 | − | 2.57891i | −0.659036 | − | 0.448931i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −5.32874 | − | 5.19346i | −0.900722 | − | 0.877855i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.81274 | − | 3.13976i | 0.298013 | − | 0.516174i | −0.677668 | − | 0.735368i | \(-0.737009\pi\) |
0.975681 | + | 0.219194i | \(0.0703427\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.59134 | − | 5.17117i | −1.21559 | − | 0.828049i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.12184 | + | 4.11180i | 1.11224 | + | 0.642155i | 0.939410 | − | 0.342796i | \(-0.111374\pi\) |
0.172835 | + | 0.984951i | \(0.444707\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.93586 | + | 2.27237i | −0.600213 | + | 0.346533i | −0.769125 | − | 0.639098i | \(-0.779308\pi\) |
0.168912 | + | 0.985631i | \(0.445975\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 7.85149 | − | 3.08886i | 1.17043 | − | 0.460459i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 11.2264 | 1.63754 | 0.818768 | − | 0.574124i | \(-0.194657\pi\) | ||||
0.818768 | + | 0.574124i | \(0.194657\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.97019 | + | 3.65470i | −0.852884 | + | 0.522100i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.24562 | − | 2.04671i | 0.594505 | − | 0.286597i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.53317 | − | 4.38758i | −0.347957 | − | 0.602680i | 0.637929 | − | 0.770095i | \(-0.279791\pi\) |
−0.985886 | + | 0.167415i | \(0.946458\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.43804 | 1.00294 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.534697 | + | 0.784943i | −0.0708224 | + | 0.103968i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.35948 | 0.437367 | 0.218684 | − | 0.975796i | \(-0.429824\pi\) | ||||
0.218684 | + | 0.975796i | \(0.429824\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 14.4210i | − | 1.84642i | −0.384294 | − | 0.923211i | \(-0.625555\pi\) | ||
0.384294 | − | 0.923211i | \(-0.374445\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.996422 | − | 7.87446i | −0.125537 | − | 0.992089i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 14.9146 | 1.84992 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 10.8513i | − | 1.32570i | −0.748752 | − | 0.662851i | \(-0.769346\pi\) | ||
0.748752 | − | 0.662851i | \(-0.230654\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.56860 | + | 1.72034i | −0.429609 | + | 0.207104i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.7616i | 1.51453i | 0.653109 | + | 0.757263i | \(0.273464\pi\) | ||||
−0.653109 | + | 0.757263i | \(0.726536\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.29405 | − | 2.47917i | 0.502581 | − | 0.290165i | −0.227198 | − | 0.973849i | \(-0.572956\pi\) |
0.729779 | + | 0.683684i | \(0.239623\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.83725 | + | 4.16512i | −0.327617 | + | 0.480947i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.72399 | − | 6.78157i | 0.196467 | − | 0.772831i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.61310i | 0.631523i | 0.948839 | + | 0.315761i | \(0.102260\pi\) | ||||
−0.948839 | + | 0.315761i | \(0.897740\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.60446 | + | 2.63880i | 0.956051 | + | 0.293200i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.719239 | − | 1.24576i | −0.0789467 | − | 0.136740i | 0.823849 | − | 0.566809i | \(-0.191822\pi\) |
−0.902796 | + | 0.430070i | \(0.858489\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.82652 | + | 6.62773i | −0.415044 | + | 0.718878i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.61047 | + | 11.6381i | 0.601506 | + | 1.24774i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.24680 | + | 1.87454i | 0.344160 | + | 0.198701i | 0.662110 | − | 0.749407i | \(-0.269661\pi\) |
−0.317950 | + | 0.948107i | \(0.602994\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.45690 | − | 13.5982i | 0.362381 | − | 1.42548i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.78058 | − | 0.356299i | −0.495723 | − | 0.0369465i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | − | 1.54216i | − | 0.158223i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −15.7452 | + | 9.09049i | −1.59868 | + | 0.922999i | −0.606939 | + | 0.794748i | \(0.707603\pi\) |
−0.991742 | + | 0.128251i | \(0.959064\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.20720 | + | 4.94182i | 0.623847 | + | 0.496671i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.36076 | + | 1.36298i | 0.234904 | + | 0.135622i | 0.612832 | − | 0.790213i | \(-0.290030\pi\) |
−0.377928 | + | 0.925835i | \(0.623363\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.63868 | − | 13.2306i | −0.752661 | − | 1.30365i | −0.946529 | − | 0.322620i | \(-0.895436\pi\) |
0.193867 | − | 0.981028i | \(-0.437897\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.53555 | + | 9.65645i | 0.832985 | + | 0.942373i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.60969 | − | 2.08406i | −0.348962 | − | 0.201473i | 0.315266 | − | 0.949003i | \(-0.397906\pi\) |
−0.664228 | + | 0.747530i | \(0.731240\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.62697 | − | 6.28209i | −0.347400 | − | 0.601715i | 0.638387 | − | 0.769716i | \(-0.279602\pi\) |
−0.985787 | + | 0.168001i | \(0.946269\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.53527 | + | 5.18983i | −0.335553 | + | 0.492597i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 8.08514 | − | 14.0039i | 0.760586 | − | 1.31737i | −0.181963 | − | 0.983305i | \(-0.558245\pi\) |
0.942549 | − | 0.334068i | \(-0.108421\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.21634 | − | 5.57086i | 0.299925 | − | 0.519485i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 12.4465 | + | 9.90921i | 1.15068 | + | 0.916107i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 5.15586 | + | 5.02497i | 0.472637 | + | 0.460638i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.00273 | − | 3.46883i | −0.182066 | − | 0.315348i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −11.7719 | − | 8.01896i | −1.06144 | − | 0.723045i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 5.87892i | 0.525826i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 22.0446i | − | 1.95614i | −0.208270 | − | 0.978071i | \(-0.566783\pi\) | ||
0.208270 | − | 0.978071i | \(-0.433217\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 7.09078 | − | 3.41830i | 0.624309 | − | 0.300964i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.74098 | + | 9.94366i | 0.501591 | + | 0.868782i | 0.999998 | + | 0.00183866i | \(0.000585263\pi\) |
−0.498407 | + | 0.866943i | \(0.666081\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.40605 | − | 0.357442i | −0.121920 | − | 0.0309942i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −13.9592 | + | 4.32451i | −1.20142 | + | 0.372194i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.234259 | + | 0.405749i | −0.0200141 | + | 0.0346655i | −0.875859 | − | 0.482567i | \(-0.839704\pi\) |
0.855845 | + | 0.517233i | \(0.173038\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.46737 | + | 2.54156i | −0.124461 | + | 0.215572i | −0.921522 | − | 0.388326i | \(-0.873053\pi\) |
0.797061 | + | 0.603899i | \(0.206387\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −19.3909 | − | 1.44521i | −1.63301 | − | 0.121709i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 7.01264 | + | 12.1462i | 0.586426 | + | 1.01572i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −18.1680 | − | 10.4893i | −1.50877 | − | 0.871091i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 10.7826 | − | 5.54405i | 0.889330 | − | 0.457266i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.0215175 | − | 0.0372695i | −0.00176279 | − | 0.00305323i | 0.865143 | − | 0.501526i | \(-0.167228\pi\) |
−0.866905 | + | 0.498473i | \(0.833894\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.73688 | + | 4.46689i | 0.629618 | + | 0.363510i | 0.780604 | − | 0.625026i | \(-0.214911\pi\) |
−0.150986 | + | 0.988536i | \(0.548245\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −7.59676 | + | 2.98864i | −0.614162 | + | 0.241618i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6.74112 | − | 3.89199i | 0.541460 | − | 0.312612i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.85048i | 0.546728i | 0.961911 | + | 0.273364i | \(0.0881363\pi\) | ||||
−0.961911 | + | 0.273364i | \(0.911864\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.81061 | + | 7.90459i | 0.302201 | + | 0.626875i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.33370 | − | 4.22368i | −0.341544 | − | 0.332873i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.9751 | − | 6.91382i | −0.937961 | − | 0.541532i | −0.0486402 | − | 0.998816i | \(-0.515489\pi\) |
−0.889320 | + | 0.457285i | \(0.848822\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −12.8474 | − | 0.957525i | −1.00017 | − | 0.0745433i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −11.0194 | + | 19.0862i | −0.852710 | + | 1.47694i | 0.0260438 | + | 0.999661i | \(0.491709\pi\) |
−0.878754 | + | 0.477276i | \(0.841624\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.56157 | + | 13.0970i | 0.581660 | + | 1.00746i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.02461 | − | 1.28697i | 0.0783539 | − | 0.0984168i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 13.6309i | 1.03634i | 0.855279 | + | 0.518168i | \(0.173386\pi\) | ||||
−0.855279 | + | 0.518168i | \(0.826614\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.46090 | − | 1.89669i | −0.563991 | − | 0.143376i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −5.80270 | − | 0.432478i | −0.436157 | − | 0.0325070i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.827409 | + | 0.477705i | −0.0618434 | + | 0.0357053i | −0.530603 | − | 0.847621i | \(-0.678034\pi\) |
0.468759 | + | 0.883326i | \(0.344701\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 17.0078i | 1.26418i | 0.774896 | + | 0.632089i | \(0.217802\pi\) | ||||
−0.774896 | + | 0.632089i | \(0.782198\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.85647 | + | 24.9088i | −0.137234 | + | 1.84131i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | − | 10.1964i | − | 0.749651i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.19672 | −0.526277 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.707373 | + | 13.7295i | 0.0514538 | + | 0.998675i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.56323i | 0.474898i | 0.971400 | + | 0.237449i | \(0.0763113\pi\) | ||||
−0.971400 | + | 0.237449i | \(0.923689\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −22.2982 | −1.60506 | −0.802531 | − | 0.596611i | \(-0.796514\pi\) | ||||
−0.802531 | + | 0.596611i | \(0.796514\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −25.7613 | − | 1.92001i | −1.84481 | − | 0.137495i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −17.0488 | −1.21467 | −0.607337 | − | 0.794444i | \(-0.707762\pi\) | ||||
−0.607337 | + | 0.794444i | \(0.707762\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.52787 | + | 16.5028i | 0.675413 | + | 1.16985i | 0.976348 | + | 0.216205i | \(0.0693679\pi\) |
−0.300935 | + | 0.953645i | \(0.597299\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.39693 | + | 18.7431i | −0.0985320 | + | 1.32203i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −13.7745 | + | 14.1333i | −0.966783 | + | 0.991966i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 23.1281 | 1.61534 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 6.38537 | − | 2.51207i | 0.443814 | − | 0.174601i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.25592 | − | 0.725105i | 0.0868737 | − | 0.0501566i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.26806 | + | 5.35092i | 0.638040 | + | 0.368372i | 0.783859 | − | 0.620939i | \(-0.213248\pi\) |
−0.145819 | + | 0.989311i | \(0.546582\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.64285 | − | 22.0427i | 0.112566 | − | 1.51034i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −6.39084 | + | 11.0693i | −0.435851 | + | 0.754917i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.98603 | − | 7.04824i | −0.134821 | − | 0.478466i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −7.73609 | + | 3.72938i | −0.522757 | + | 0.252008i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −14.4307 | −0.970714 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.37765 | + | 16.2426i | 0.627974 | + | 1.08768i | 0.987958 | + | 0.154724i | \(0.0494489\pi\) |
−0.359984 | + | 0.932959i | \(0.617218\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.43686 | − | 6.82900i | 0.362457 | − | 0.455266i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 11.0322 | − | 19.1084i | 0.732235 | − | 1.26827i | −0.223691 | − | 0.974660i | \(-0.571811\pi\) |
0.955926 | − | 0.293608i | \(-0.0948561\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.77115 | − | 2.17728i | 0.249205 | − | 0.143878i | −0.370195 | − | 0.928954i | \(-0.620709\pi\) |
0.619400 | + | 0.785076i | \(0.287376\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.85079 | + | 11.4916i | −0.253363 | + | 0.756091i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −11.9938 | + | 20.7738i | −0.785738 | + | 1.36094i | 0.142820 | + | 0.989749i | \(0.454383\pi\) |
−0.928557 | + | 0.371189i | \(0.878950\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 27.3432 | − | 15.7866i | 1.78367 | − | 1.02980i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.722594 | − | 9.69528i | 0.0469375 | − | 0.629776i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.03528 | − | 2.90712i | −0.325705 | − | 0.188046i | 0.328227 | − | 0.944599i | \(-0.393549\pi\) |
−0.653933 | + | 0.756553i | \(0.726882\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −19.7657 | − | 11.4117i | −1.27322 | − | 0.735094i | −0.297627 | − | 0.954682i | \(-0.596195\pi\) |
−0.975593 | + | 0.219589i | \(0.929528\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −14.5224 | − | 5.66557i | −0.931615 | − | 0.363447i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −9.40185 | + | 17.2968i | −0.600662 | + | 1.10505i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.51834 | − | 1.45396i | 0.160238 | − | 0.0925135i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.08194 | + | 2.24434i | 0.0685653 | + | 0.142229i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 11.8200 | 0.746073 | 0.373036 | − | 0.927817i | \(-0.378317\pi\) | ||||
0.373036 | + | 0.927817i | \(0.378317\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.04912 | 0.380305 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 7.46261 | − | 10.9552i | 0.467327 | − | 0.686042i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 13.8901 | − | 8.01947i | 0.866443 | − | 0.500241i | 0.000278427 | − | 1.00000i | \(-0.499911\pi\) |
0.866165 | + | 0.499759i | \(0.166578\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −9.29644 | − | 2.36331i | −0.577653 | − | 0.146849i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.19252 | − | 20.8244i | −0.507104 | − | 1.28900i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 26.0915 | + | 15.0639i | 1.60887 | + | 0.928880i | 0.989624 | + | 0.143682i | \(0.0458942\pi\) |
0.619244 | + | 0.785199i | \(0.287439\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.3397 | − | 7.12431i | −0.758019 | − | 0.437643i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.36675 | − | 3.65579i | −0.328440 | − | 0.223731i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.95818 | − | 1.70791i | 0.180363 | − | 0.104133i | −0.407100 | − | 0.913384i | \(-0.633460\pi\) |
0.587463 | + | 0.809251i | \(0.300127\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −13.6039 | + | 23.5627i | −0.826381 | + | 1.43133i | 0.0744785 | + | 0.997223i | \(0.476271\pi\) |
−0.900859 | + | 0.434111i | \(0.857063\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −7.72151 | + | 23.0427i | −0.467327 | + | 1.39461i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.66425 | − | 3.84761i | 0.401869 | − | 0.232019i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.99541 | + | 5.18820i | −0.179977 | + | 0.311729i | −0.941872 | − | 0.335971i | \(-0.890936\pi\) |
0.761896 | + | 0.647700i | \(0.224269\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 8.21143 | + | 1.23084i | 0.491606 | + | 0.0736886i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.69154 | + | 4.66188i | 0.160564 | + | 0.278105i | 0.935071 | − | 0.354460i | \(-0.115335\pi\) |
−0.774507 | + | 0.632565i | \(0.782002\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.48890 | −0.207393 | −0.103697 | − | 0.994609i | \(-0.533067\pi\) | ||||
−0.103697 | + | 0.994609i | \(0.533067\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.198528 | + | 2.66372i | −0.0117598 | + | 0.157785i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 5.36063 | − | 21.0869i | 0.316428 | − | 1.24472i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.79762 | + | 8.30973i | −0.282213 | + | 0.488807i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 28.3663 | − | 13.6747i | 1.66286 | − | 0.801625i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 26.2148 | + | 15.1351i | 1.53149 | + | 0.884205i | 0.999294 | + | 0.0375823i | \(0.0119656\pi\) |
0.532194 | + | 0.846622i | \(0.321368\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.18241 | − | 4.72412i | 0.476399 | − | 0.275049i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −10.0853 | − | 9.33488i | −0.585206 | − | 0.541665i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 12.1296 | 0.701470 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 8.61103 | + | 8.39242i | 0.496332 | + | 0.483731i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −3.90218 | − | 2.65814i | −0.224174 | − | 0.152706i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −20.2789 | − | 35.1241i | −1.16117 | − | 2.01120i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −15.5495 | −0.887456 | −0.443728 | − | 0.896162i | \(-0.646344\pi\) | ||||
−0.443728 | + | 0.896162i | \(0.646344\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 11.4908 | + | 23.8360i | 0.653687 | + | 1.35598i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 18.7047 | 1.06065 | 0.530323 | − | 0.847796i | \(-0.322071\pi\) | ||||
0.530323 | + | 0.847796i | \(0.322071\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.7439i | 0.833372i | 0.909050 | + | 0.416686i | \(0.136809\pi\) | ||||
−0.909050 | + | 0.416686i | \(0.863191\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −13.5000 | − | 17.7780i | −0.760640 | − | 1.00168i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −29.4472 | −1.65392 | −0.826960 | − | 0.562261i | \(-0.809932\pi\) | ||||
−0.826960 | + | 0.562261i | \(0.809932\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 19.7278i | − | 1.10454i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.96659 | + | 4.06440i | 0.333023 | + | 0.226853i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.49213i | 0.0830244i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 13.3630 | − | 7.71512i | 0.741245 | − | 0.427958i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.45600 | + | 11.3177i | 0.301717 | + | 0.625871i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −8.05570 | − | 28.5889i | −0.444125 | − | 1.57616i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 26.1343i | − | 1.43647i | −0.695800 | − | 0.718236i | \(-0.744950\pi\) | ||
0.695800 | − | 0.718236i | \(-0.255050\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 6.77444 | − | 8.50907i | 0.371237 | − | 0.466294i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −15.2592 | − | 26.4297i | −0.833699 | − | 1.44401i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.7702 | − | 23.8507i | 0.750110 | − | 1.29923i | −0.197659 | − | 0.980271i | \(-0.563334\pi\) |
0.947769 | − | 0.318958i | \(-0.103333\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −15.7679 | + | 23.1475i | −0.856395 | + | 1.25720i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.33918 | + | 3.65992i | 0.343286 | + | 0.198196i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.5910 | + | 12.5811i | 0.733846 | + | 0.679316i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −6.27261 | + | 9.20827i | −0.337706 | + | 0.495757i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − | 11.9584i | − | 0.641962i | −0.947086 | − | 0.320981i | \(-0.895987\pi\) | ||
0.947086 | − | 0.320981i | \(-0.104013\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.51240 | − | 1.45053i | 0.134485 | − | 0.0776452i | −0.431248 | − | 0.902234i | \(-0.641927\pi\) |
0.565733 | + | 0.824588i | \(0.308593\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −20.2227 | − | 18.7181i | −1.07941 | − | 0.999097i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 23.9384 | + | 13.8208i | 1.27411 | + | 0.735610i | 0.975759 | − | 0.218846i | \(-0.0702292\pi\) |
0.298354 | + | 0.954455i | \(0.403563\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 17.9455 | + | 31.0825i | 0.952447 | + | 1.64969i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −8.25864 | − | 9.34317i | −0.437093 | − | 0.494493i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.49496 | + | 1.44047i | 0.131679 | + | 0.0760249i | 0.564392 | − | 0.825507i | \(-0.309110\pi\) |
−0.432713 | + | 0.901532i | \(0.642444\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.34966 | + | 16.1941i | 0.492087 | + | 0.852320i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.01268 | + | 6.24939i | 0.158125 | + | 0.328008i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 6.97245 | − | 12.0766i | 0.364954 | − | 0.632120i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.682581 | − | 1.18227i | 0.0356304 | − | 0.0617137i | −0.847660 | − | 0.530539i | \(-0.821989\pi\) |
0.883291 | + | 0.468826i | \(0.155323\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 19.3009 | + | 15.3663i | 1.00476 | + | 0.799937i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −9.35561 | + | 9.59931i | −0.485719 | + | 0.498371i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.76730 | − | 8.25721i | −0.246841 | − | 0.427542i | 0.715806 | − | 0.698299i | \(-0.246059\pi\) |
−0.962648 | + | 0.270757i | \(0.912726\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.756815 | − | 10.1544i | 0.0390817 | − | 0.524372i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 39.5577i | − | 2.03732i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.58137i | 0.286696i | 0.989672 | + | 0.143348i | \(0.0457867\pi\) | ||||
−0.989672 | + | 0.143348i | \(0.954213\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −2.83788 | + | 38.0768i | −0.145389 | + | 1.95073i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −16.5981 | − | 28.7488i | −0.848124 | − | 1.46899i | −0.882880 | − | 0.469599i | \(-0.844399\pi\) |
0.0347558 | − | 0.999396i | \(-0.488935\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.33730 | − | 18.9416i | −0.272014 | − | 0.965353i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −12.6877 | + | 4.99146i | −0.644951 | + | 0.253730i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.338305 | − | 0.585961i | 0.0171527 | − | 0.0297094i | −0.857322 | − | 0.514781i | \(-0.827873\pi\) |
0.874474 | + | 0.485072i | \(0.161207\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.11199 | + | 5.39013i | −0.157380 | + | 0.272590i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −8.63608 | − | 17.9144i | −0.435632 | − | 0.903659i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 7.89316 | + | 13.6714i | 0.397148 | + | 0.687881i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −20.5945 | − | 11.8902i | −1.03361 | − | 0.596754i | −0.115592 | − | 0.993297i | \(-0.536877\pi\) |
−0.918016 | + | 0.396543i | \(0.870210\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.38261 | + | 0.798402i | 0.119279 | + | 0.0399701i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 17.7910 | + | 30.8149i | 0.888440 | + | 1.53882i | 0.841719 | + | 0.539916i | \(0.181544\pi\) |
0.0467213 | + | 0.998908i | \(0.485123\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 12.7112 | + | 7.33879i | 0.633188 | + | 0.365571i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 24.6679 | − | 5.67253i | 1.22576 | − | 0.281870i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.30379 | − | 4.79420i | 0.411604 | − | 0.237640i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 13.0895i | − | 0.647235i | −0.946188 | − | 0.323617i | \(-0.895101\pi\) | ||
0.946188 | − | 0.323617i | \(-0.104899\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.456861 | − | 0.670678i | 0.0225353 | − | 0.0330821i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −2.41066 | − | 8.55520i | −0.118621 | − | 0.420974i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.50358 | − | 2.02280i | −0.171984 | − | 0.0992951i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.86172 | − | 4.20104i | 0.140139 | − | 0.205726i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −10.5482 | + | 18.2700i | −0.515313 | + | 0.892548i | 0.484529 | + | 0.874775i | \(0.338991\pi\) |
−0.999842 | + | 0.0177728i | \(0.994342\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.0124 | + | 24.2702i | 0.682924 | + | 1.18286i | 0.974084 | + | 0.226185i | \(0.0726253\pi\) |
−0.291161 | + | 0.956674i | \(0.594041\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 33.3071 | + | 4.99252i | 1.61944 | + | 0.242745i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.91765i | 0.384062i | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −36.7243 | + | 10.3481i | −1.77722 | + | 0.500778i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −10.5490 | − | 21.8825i | −0.509312 | − | 1.05650i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −9.70704 | + | 5.60436i | −0.467572 | + | 0.269953i | −0.715223 | − | 0.698897i | \(-0.753675\pi\) |
0.247651 | + | 0.968849i | \(0.420341\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.09237i | 0.244724i | 0.992486 | + | 0.122362i | \(0.0390468\pi\) | ||||
−0.992486 | + | 0.122362i | \(0.960953\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 30.0306 | + | 20.4566i | 1.43986 | + | 0.980820i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − | 1.25419i | − | 0.0599962i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.7128 | −0.606747 | −0.303374 | − | 0.952872i | \(-0.598113\pi\) | ||||
−0.303374 | + | 0.952872i | \(0.598113\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −19.3380 | + | 8.18794i | −0.920856 | + | 0.389902i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 12.8916i | − | 0.612498i | −0.951951 | − | 0.306249i | \(-0.900926\pi\) | ||
0.951951 | − | 0.306249i | \(-0.0990740\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.5439 | 0.499831 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.0323686 | + | 0.0671441i | 0.00153098 | + | 0.00317581i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −10.8543 | −0.512245 | −0.256122 | − | 0.966644i | \(-0.582445\pi\) | ||||
−0.256122 | + | 0.966644i | \(0.582445\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 10.8745 | + | 18.8353i | 0.512062 | + | 0.886918i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −12.7886 | − | 8.71148i | −0.600859 | − | 0.409301i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −10.7022 | − | 37.9812i | −0.501728 | − | 1.78059i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.0059 | 0.795503 | 0.397751 | − | 0.917493i | \(-0.369791\pi\) | ||||
0.397751 | + | 0.917493i | \(0.369791\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 13.5063 | − | 4.18421i | 0.630421 | − | 0.195302i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −6.55493 | + | 3.78449i | −0.305294 | + | 0.176261i | −0.644819 | − | 0.764336i | \(-0.723067\pi\) |
0.339525 | + | 0.940597i | \(0.389734\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.62448 | + | 2.09260i | 0.168444 | + | 0.0972512i | 0.581852 | − | 0.813295i | \(-0.302328\pi\) |
−0.413408 | + | 0.910546i | \(0.635662\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −12.1447 | + | 5.85466i | −0.563197 | + | 0.271503i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −4.17316 | + | 7.22813i | −0.193111 | + | 0.334478i | −0.946280 | − | 0.323350i | \(-0.895191\pi\) |
0.753169 | + | 0.657827i | \(0.228524\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −27.6338 | + | 7.78657i | −1.27601 | + | 0.359551i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.881887 | − | 11.8326i | 0.0406352 | − | 0.545216i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −12.0196 | −0.552660 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.797742 | − | 1.38173i | −0.0366029 | − | 0.0633981i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.56433 | − | 14.1438i | −0.254773 | − | 0.647602i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −13.4529 | + | 23.3011i | −0.614677 | + | 1.06465i | 0.375764 | + | 0.926716i | \(0.377380\pi\) |
−0.990441 | + | 0.137937i | \(0.955953\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 16.6506 | − | 9.61321i | 0.759200 | − | 0.438325i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.94170 | + | 7.85329i | 0.315858 | + | 0.357337i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −25.5662 | + | 44.2819i | −1.16090 | + | 2.01074i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −26.8047 | + | 15.4757i | −1.21464 | + | 0.701270i | −0.963766 | − | 0.266751i | \(-0.914050\pi\) |
−0.250870 | + | 0.968021i | \(0.580717\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 19.7940 | + | 13.4836i | 0.895117 | + | 0.609747i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.30274 | − | 5.37094i | −0.419827 | − | 0.242387i | 0.275176 | − | 0.961394i | \(-0.411264\pi\) |
−0.695003 | + | 0.719007i | \(0.744597\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 17.5786 | + | 10.1490i | 0.791701 | + | 0.457089i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 22.0676 | + | 3.30779i | 0.991864 | + | 0.148674i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 32.4986 | − | 9.15734i | 1.45776 | − | 0.410763i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.01094 | + | 1.16102i | −0.0900220 | + | 0.0519742i | −0.544335 | − | 0.838868i | \(-0.683218\pi\) |
0.454313 | + | 0.890842i | \(0.349885\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 21.4905 | − | 31.5483i | 0.960124 | − | 1.40947i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −37.1284 | −1.65547 | −0.827736 | − | 0.561117i | \(-0.810372\pi\) | ||||
−0.827736 | + | 0.561117i | \(0.810372\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.66654 | 0.341156 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −11.3748 | − | 23.5954i | −0.505172 | − | 1.04791i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 36.2251 | − | 20.9146i | 1.60565 | − | 0.927023i | 0.615323 | − | 0.788275i | \(-0.289026\pi\) |
0.990328 | − | 0.138747i | \(-0.0443076\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.39469 | − | 9.15619i | −0.415597 | − | 0.405046i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.93544 | + | 2.09103i | −0.0854519 | + | 0.0923210i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −37.2098 | − | 21.4831i | −1.63966 | − | 0.946658i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 25.7128 | + | 14.8453i | 1.13085 | + | 0.652896i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.75475 | − | 23.5441i | 0.0770251 | − | 1.03347i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.56496 | + | 3.21293i | −0.243805 | + | 0.140761i | −0.616924 | − | 0.787022i | \(-0.711622\pi\) |
0.373119 | + | 0.927783i | \(0.378288\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.15469 | + | 1.99999i | −0.0504912 | + | 0.0874533i | −0.890166 | − | 0.455636i | \(-0.849412\pi\) |
0.839675 | + | 0.543089i | \(0.182745\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 12.6428 | + | 4.23654i | 0.551775 | + | 0.184898i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −6.52242 | + | 3.76572i | −0.284121 | + | 0.164037i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.88425 | + | 15.3880i | −0.386272 | + | 0.669042i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 9.96709 | + | 1.49400i | 0.432535 | + | 0.0648343i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 21.8054 | + | 37.7680i | 0.944496 | + | 1.63591i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.7224 | −0.506806 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.49065 | − | 0.718605i | 0.0643261 | − | 0.0310101i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −18.5069 | + | 0.475960i | −0.797149 | + | 0.0205011i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.713219 | + | 1.23533i | −0.0306637 | + | 0.0531111i | −0.880950 | − | 0.473209i | \(-0.843095\pi\) |
0.850286 | + | 0.526320i | \(0.176429\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.18947 | − | 29.3768i | 0.0939593 | − | 1.26068i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −17.6678 | − | 10.2005i | −0.756806 | − | 0.436942i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.62835 | − | 2.09483i | 0.155137 | − | 0.0895685i | −0.420422 | − | 0.907329i | \(-0.638118\pi\) |
0.575559 | + | 0.817760i | \(0.304785\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 6.41321 | − | 42.7851i | 0.273709 | − | 1.82602i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −4.09025 | −0.174251 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 14.2942 | − | 4.02778i | 0.607852 | − | 0.171279i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.31261 | + | 17.6118i | −0.0557174 | + | 0.747578i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 8.75539 | + | 15.1648i | 0.370978 | + | 0.642552i | 0.989716 | − | 0.143045i | \(-0.0456893\pi\) |
−0.618739 | + | 0.785597i | \(0.712356\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −24.1013 | −1.01938 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.4306 | + | 0.926461i | 0.524821 | + | 0.0391152i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.72155 | −0.198989 | −0.0994947 | − | 0.995038i | \(-0.531723\pi\) | ||||
−0.0994947 | + | 0.995038i | \(0.531723\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 45.4774i | − | 1.91325i | ||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.545634 | − | 23.8055i | 0.0229145 | − | 0.999737i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 23.7443 | 0.995411 | 0.497705 | − | 0.867346i | \(-0.334176\pi\) | ||||
0.497705 | + | 0.867346i | \(0.334176\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 29.6501i | − | 1.24082i | −0.784278 | − | 0.620409i | \(-0.786966\pi\) | ||
0.784278 | − | 0.620409i | \(-0.213034\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.844908 | − | 11.3364i | 0.0352965 | − | 0.473585i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 6.65509i | − | 0.277536i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.4530 | − | 7.76707i | 0.560054 | − | 0.323347i | −0.193113 | − | 0.981176i | \(-0.561858\pi\) |
0.753167 | + | 0.657829i | \(0.228525\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 38.5148 | + | 2.87053i | 1.60062 | + | 0.119295i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.65633 | + | 2.72552i | −0.110203 | + | 0.113074i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 13.3990i | − | 0.554931i | ||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 44.2494 | + | 6.63270i | 1.82949 | + | 0.274228i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −0.553171 | − | 0.958120i | −0.0228318 | − | 0.0395458i | 0.854384 | − | 0.519643i | \(-0.173935\pi\) |
−0.877216 | + | 0.480097i | \(0.840602\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.758829 | − | 1.31433i | 0.0312670 | − | 0.0541561i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 29.4477 | + | 2.19475i | 1.21131 | + | 0.0902800i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 14.2753 | + | 8.24185i | 0.586216 | + | 0.338452i | 0.763600 | − | 0.645690i | \(-0.223430\pi\) |
−0.177384 | + | 0.984142i | \(0.556763\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 19.6239 | + | 4.98871i | 0.804500 | + | 0.204517i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −14.3327 | − | 29.7311i | −0.586596 | − | 1.21681i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 20.5047i | − | 0.837801i | −0.908032 | − | 0.418900i | \(-0.862416\pi\) | ||
0.908032 | − | 0.418900i | \(-0.137584\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 15.8353 | − | 9.14249i | 0.645934 | − | 0.372930i | −0.140963 | − | 0.990015i | \(-0.545020\pi\) |
0.786897 | + | 0.617085i | \(0.211686\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.82573 | − | 32.1943i | 0.196519 | − | 1.31105i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −9.75577 | − | 5.63250i | −0.396629 | − | 0.228994i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.148266 | − | 0.256804i | −0.00601794 | − | 0.0104234i | 0.863001 | − | 0.505203i | \(-0.168582\pi\) |
−0.869019 | + | 0.494779i | \(0.835249\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 25.6116 | − | 22.6387i | 1.03784 | − | 0.917367i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 51.5588 | + | 29.7675i | 2.08584 | + | 1.20426i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.4270 | + | 24.9882i | 0.582700 | + | 1.00927i | 0.995158 | + | 0.0982888i | \(0.0313369\pi\) |
−0.412458 | + | 0.910976i | \(0.635330\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −39.9483 | − | 2.97737i | −1.61087 | − | 0.120059i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −13.6978 | + | 23.7253i | −0.551454 | + | 0.955146i | 0.446716 | + | 0.894676i | \(0.352593\pi\) |
−0.998170 | + | 0.0604700i | \(0.980740\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.51347 | − | 4.35345i | 0.101025 | − | 0.174980i | −0.811082 | − | 0.584932i | \(-0.801121\pi\) |
0.912107 | + | 0.409952i | \(0.134455\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −11.3526 | + | 3.51699i | −0.455563 | + | 0.141132i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 2.44387 | − | 9.61335i | 0.0979117 | − | 0.385151i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.5411 | + | 26.9180i | 0.621644 | + | 1.07672i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −2.26264 | + | 1.09077i | −0.0903613 | + | 0.0435610i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 9.86556i | 0.393366i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 7.26095i | − | 0.289054i | −0.989501 | − | 0.144527i | \(-0.953834\pi\) | ||
0.989501 | − | 0.144527i | \(-0.0461660\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −15.3195 | − | 10.4355i | −0.608896 | − | 0.414775i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −30.9992 | − | 53.6923i | −1.23017 | − | 2.13071i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −37.1096 | + | 0.954384i | −1.47034 | + | 0.0378141i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −5.67526 | + | 37.8619i | −0.224510 | + | 1.49779i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −13.2794 | + | 23.0007i | −0.524507 | + | 0.908472i | 0.475086 | + | 0.879939i | \(0.342417\pi\) |
−0.999593 | + | 0.0285328i | \(0.990916\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.856940 | + | 1.48426i | −0.0337944 | + | 0.0585337i | −0.882428 | − | 0.470448i | \(-0.844092\pi\) |
0.848634 | + | 0.528981i | \(0.177426\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 12.4636 | − | 18.2968i | 0.490755 | − | 0.720434i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 13.8968 | + | 24.0699i | 0.546339 | + | 0.946287i | 0.998521 | + | 0.0543614i | \(0.0173123\pi\) |
−0.452182 | + | 0.891926i | \(0.649354\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.69453 | + | 4.44244i | 0.302037 | + | 0.174381i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.52305 | + | 12.4298i | 0.0988860 | + | 0.487163i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −7.65604 | − | 13.2607i | −0.299604 | − | 0.518929i | 0.676441 | − | 0.736497i | \(-0.263521\pi\) |
−0.976045 | + | 0.217567i | \(0.930188\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 27.9657 | + | 16.1460i | 1.09271 | + | 0.630876i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 13.8423 | − | 5.44572i | 0.540041 | − | 0.212458i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −41.7362 | + | 24.0964i | −1.62581 | + | 0.938663i | −0.640488 | + | 0.767968i | \(0.721268\pi\) |
−0.985324 | + | 0.170694i | \(0.945399\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.5852i | 0.683987i | 0.939702 | + | 0.341993i | \(0.111102\pi\) | ||||
−0.939702 | + | 0.341993i | \(0.888898\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 24.9256 | + | 1.85772i | 0.968029 | + | 0.0721477i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −3.92725 | + | 1.10661i | −0.152292 | + | 0.0429124i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −14.7755 | − | 8.53064i | −0.572110 | − | 0.330308i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −14.1067 | − | 29.2624i | −0.545396 | − | 1.13135i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 19.0698 | − | 33.0298i | 0.736180 | − | 1.27510i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.47021 | − | 12.9388i | −0.287955 | − | 0.498753i | 0.685366 | − | 0.728199i | \(-0.259642\pi\) |
−0.973322 | + | 0.229445i | \(0.926309\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −10.2700 | + | 11.0955i | −0.395292 | + | 0.427068i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 1.54926i | − | 0.0595427i | −0.999557 | − | 0.0297714i | \(-0.990522\pi\) | ||
0.999557 | − | 0.0297714i | \(-0.00947792\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 34.4479 | + | 33.5734i | 1.32199 | + | 1.28843i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −21.5154 | + | 31.5849i | −0.824473 | + | 1.21034i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −5.97005 | + | 3.44681i | −0.228438 | + | 0.131889i | −0.609851 | − | 0.792516i | \(-0.708771\pi\) |
0.381413 | + | 0.924405i | \(0.375437\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.31767i | 0.0503455i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −6.79405 | + | 3.27525i | −0.259209 | + | 0.124958i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 26.8674i | − | 1.02357i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −39.3194 | −1.49578 | −0.747890 | − | 0.663822i | \(-0.768933\pi\) | ||||
−0.747890 | + | 0.663822i | \(0.768933\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 8.13067 | − | 19.3532i | 0.308859 | − | 0.735169i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 8.25370i | 0.313081i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −22.3778 | −0.847619 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 23.3906 | − | 34.3378i | 0.884715 | − | 1.29877i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −21.0215 | −0.793970 | −0.396985 | − | 0.917825i | \(-0.629943\pi\) | ||||
−0.396985 | + | 0.917825i | \(0.629943\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.994003 | − | 1.72166i | −0.0374895 | − | 0.0649338i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −49.2611 | + | 23.7476i | −1.85528 | + | 0.894385i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.77695 | − | 6.98990i | 0.0668290 | − | 0.262882i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 38.0038 | 1.42726 | 0.713630 | − | 0.700522i | \(-0.247050\pi\) | ||||
0.713630 | + | 0.700522i | \(0.247050\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −2.49622 | + | 16.6532i | −0.0936154 | + | 0.624545i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 5.48234 | − | 3.16523i | 0.205315 | − | 0.118539i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 34.1602 | + | 19.7224i | 1.27752 | + | 0.737577i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 8.32300 | + | 5.66956i | 0.310828 | + | 0.211734i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 3.72516 | − | 6.45216i | 0.138925 | − | 0.240625i | −0.788165 | − | 0.615464i | \(-0.788969\pi\) |
0.927090 | + | 0.374839i | \(0.122302\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −28.2115 | + | 28.9464i | −1.05065 | + | 1.07802i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 32.6714 | + | 22.2555i | 1.21506 | + | 0.827692i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −21.7040 | −0.806066 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.88775 | − | 17.1261i | −0.366716 | − | 0.635171i | 0.622334 | − | 0.782752i | \(-0.286185\pi\) |
−0.989050 | + | 0.147581i | \(0.952851\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 24.3547 | + | 11.6554i | 0.902025 | + | 0.431683i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 6.18350 | − | 10.7101i | 0.228705 | − | 0.396129i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 28.4508 | − | 16.4261i | 1.05085 | − | 0.606711i | 0.127966 | − | 0.991779i | \(-0.459155\pi\) |
0.922888 | + | 0.385068i | \(0.125822\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 18.4661 | − | 28.6657i | 0.681133 | − | 1.05735i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 14.3494 | − | 24.8538i | 0.528566 | − | 0.915502i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −22.2229 | + | 12.8304i | −0.817484 | + | 0.471975i | −0.849548 | − | 0.527511i | \(-0.823125\pi\) |
0.0320642 | + | 0.999486i | \(0.489792\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −4.53700 | + | 2.18718i | −0.166671 | + | 0.0803480i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 38.0089 | + | 21.9445i | 1.39441 | + | 0.805064i | 0.993800 | − | 0.111184i | \(-0.0354643\pi\) |
0.400612 | + | 0.916248i | \(0.368798\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.104817 | − | 0.0605162i | −0.00384020 | − | 0.00221714i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.57987 | − | 4.01584i | −0.0578045 | − | 0.146932i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −2.71703 | + | 10.6878i | −0.0992780 | + | 0.390525i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.84327 | − | 4.52831i | 0.286205 | − | 0.165241i | −0.350024 | − | 0.936741i | \(-0.613827\pi\) |
0.636229 | + | 0.771500i | \(0.280493\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −20.4162 | − | 1.52163i | −0.744009 | − | 0.0554514i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 25.1255 | 0.914409 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 26.8619 | 0.976314 | 0.488157 | − | 0.872756i | \(-0.337669\pi\) | ||||
0.488157 | + | 0.872756i | \(0.337669\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −10.4484 | − | 0.778726i | −0.379253 | − | 0.0282660i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −10.5578 | + | 6.09556i | −0.382721 | + | 0.220964i | −0.679001 | − | 0.734137i | \(-0.737587\pi\) |
0.296281 | + | 0.955101i | \(0.404254\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −13.3953 | + | 13.7442i | −0.484942 | + | 0.497574i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −14.3002 | + | 17.9618i | −0.517024 | + | 0.649410i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 15.4289 | + | 8.90787i | 0.557105 | + | 0.321645i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −21.7503 | − | 12.5575i | −0.784335 | − | 0.452836i | 0.0536296 | − | 0.998561i | \(-0.482921\pi\) |
−0.837964 | + | 0.545725i | \(0.816254\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −25.0243 | + | 12.0636i | −0.901227 | + | 0.434460i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −37.6545 | + | 21.7398i | −1.35434 | + | 0.781928i | −0.988854 | − | 0.148890i | \(-0.952430\pi\) |
−0.365484 | + | 0.930817i | \(0.619097\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.02655 | − | 6.97420i | 0.144638 | − | 0.250521i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 15.7531 | + | 5.27882i | 0.565141 | + | 0.189376i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 3.90520 | − | 2.25467i | 0.139918 | − | 0.0807819i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −16.8755 | + | 29.2292i | −0.603852 | + | 1.04590i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 11.4698 | + | 37.0238i | 0.409898 | + | 1.32312i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 9.63318 | + | 16.6852i | 0.343823 | + | 0.595519i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 24.3945 | 0.869570 | 0.434785 | − | 0.900534i | \(-0.356824\pi\) | ||||
0.434785 | + | 0.900534i | \(0.356824\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −43.1275 | − | 29.3781i | −1.53538 | − | 1.04589i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −41.4637 | − | 10.5408i | −1.47428 | − | 0.374786i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 38.2382 | − | 66.2306i | 1.35788 | − | 2.35192i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 20.3967 | + | 13.8941i | 0.723395 | + | 0.492772i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −44.9314 | − | 25.9412i | −1.59155 | − | 0.918883i | −0.993041 | − | 0.117768i | \(-0.962426\pi\) |
−0.598510 | − | 0.801115i | \(-0.704240\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −26.4561 | + | 15.2744i | −0.935950 | + | 0.540371i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.79914 | + | 7.00538i | 0.310902 | + | 0.247523i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 13.1134 | 0.462763 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −16.4946 | − | 4.19320i | −0.581359 | − | 0.147791i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −5.32941 | + | 2.56918i | −0.187604 | + | 0.0904395i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −20.4027 | − | 35.3386i | −0.717322 | − | 1.24244i | −0.962057 | − | 0.272848i | \(-0.912034\pi\) |
0.244735 | − | 0.969590i | \(-0.421299\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −11.1712 | −0.392275 | −0.196137 | − | 0.980576i | \(-0.562840\pi\) | ||||
−0.196137 | + | 0.980576i | \(0.562840\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 26.5309 | − | 38.9477i | 0.930478 | − | 1.36595i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −38.8890 | −1.36222 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.49207i | 0.0871865i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 16.3034 | − | 38.8067i | 0.569688 | − | 1.35601i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −2.72262 | −0.0950202 | −0.0475101 | − | 0.998871i | \(-0.515129\pi\) | ||||
−0.0475101 | + | 0.998871i | \(0.515129\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 43.9095i | 1.53059i | 0.643681 | + | 0.765294i | \(0.277407\pi\) | ||||
−0.643681 | + | 0.765294i | \(0.722593\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −12.0062 | + | 5.78790i | −0.418002 | + | 0.201509i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 16.2663i | − | 0.565635i | −0.959174 | − | 0.282818i | \(-0.908731\pi\) | ||
0.959174 | − | 0.282818i | \(-0.0912691\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 10.7476 | − | 6.20515i | 0.373281 | − | 0.215514i | −0.301610 | − | 0.953431i | \(-0.597524\pi\) |
0.674891 | + | 0.737918i | \(0.264191\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 5.84175 | − | 8.57577i | 0.202648 | − | 0.297490i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 9.09683 | − | 16.7356i | 0.315187 | − | 0.579855i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 61.9824i | 2.14499i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −14.0248 | − | 3.18307i | −0.484769 | − | 0.110023i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −0.102613 | − | 0.177730i | −0.00354258 | − | 0.00613593i | 0.864249 | − | 0.503065i | \(-0.167794\pi\) |
−0.867791 | + | 0.496929i | \(0.834461\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.3206 | + | 23.0720i | −0.459333 | + | 0.795588i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −4.04885 | − | 8.39878i | −0.139450 | − | 0.289269i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 36.8342 | + | 21.2662i | 1.26714 | + | 0.731581i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.39658 | + | 7.58925i | −0.254149 | + | 0.260770i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 6.02623 | + | 0.449138i | 0.206820 | + | 0.0154144i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 8.29238i | − | 0.284259i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 12.9524 | − | 7.47805i | 0.443480 | − | 0.256044i | −0.261592 | − | 0.965178i | \(-0.584248\pi\) |
0.705073 | + | 0.709135i | \(0.250914\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.685820 | − | 4.57537i | 0.0234545 | − | 0.156474i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −29.1218 | − | 16.8135i | −0.994783 | − | 0.574338i | −0.0880827 | − | 0.996113i | \(-0.528074\pi\) |
−0.906701 | + | 0.421775i | \(0.861407\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.44207 | + | 14.6221i | 0.288040 | + | 0.498899i | 0.973342 | − | 0.229360i | \(-0.0736632\pi\) |
−0.685302 | + | 0.728259i | \(0.740330\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −11.9738 | + | 35.7324i | −0.408066 | + | 1.21776i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −25.5168 | − | 14.7321i | −0.868602 | − | 0.501487i | −0.00171845 | − | 0.999999i | \(-0.500547\pi\) |
−0.866883 | + | 0.498511i | \(0.833880\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 19.1678 | + | 33.1996i | 0.651725 | + | 1.12882i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 9.35648 | − | 13.7354i | 0.317763 | − | 0.466480i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −7.42253 | + | 12.8562i | −0.251792 | + | 0.436117i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 28.7730 | − | 49.8363i | 0.974936 | − | 1.68864i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −50.7563 | + | 19.9681i | −1.71784 | + | 0.675817i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 14.9712 | − | 4.21853i | 0.506118 | − | 0.142612i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −17.3493 | − | 30.0498i | −0.585844 | − | 1.01471i | −0.994770 | − | 0.102143i | \(-0.967430\pi\) |
0.408926 | − | 0.912567i | \(-0.365903\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −43.3315 | − | 29.5171i | −1.46153 | − | 0.995586i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1.50899i | 0.0508393i | 0.999677 | + | 0.0254196i | \(0.00809220\pi\) | ||||
−0.999677 | + | 0.0254196i | \(0.991908\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 36.2503i | 1.21992i | 0.792432 | + | 0.609960i | \(0.208815\pi\) | ||||
−0.792432 | + | 0.609960i | \(0.791185\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −14.7413 | + | 7.10643i | −0.495524 | + | 0.238880i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −16.5409 | − | 28.6496i | −0.555387 | − | 0.961959i | −0.997873 | − | 0.0651837i | \(-0.979237\pi\) |
0.442486 | − | 0.896775i | \(-0.354097\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −56.1385 | + | 15.8185i | −1.88282 | + | 0.530536i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 16.2182 | + | 17.4221i | 0.543329 | + | 0.583662i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 3.07795 | − | 5.33116i | 0.103000 | − | 0.178401i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.34350 | + | 2.32701i | −0.0449083 | + | 0.0777834i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −20.9509 | − | 1.56148i | −0.699530 | − | 0.0521364i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −10.3226 | − | 17.8794i | −0.344280 | − | 0.596310i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11.9393 | + | 6.89317i | 0.397757 | + | 0.229645i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −13.7931 | − | 15.6044i | −0.459006 | − | 0.519283i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 23.9164 | + | 41.4244i | 0.795008 | + | 1.37700i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 29.9958 | + | 17.3181i | 0.995993 | + | 0.575037i | 0.907060 | − | 0.421001i | \(-0.138321\pi\) |
0.0889325 | + | 0.996038i | \(0.471654\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 6.39788 | + | 5.09363i | 0.212204 | + | 0.168945i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −5.24077 | + | 3.02576i | −0.173634 | + | 0.100248i | −0.584298 | − | 0.811539i | \(-0.698630\pi\) |
0.410664 | + | 0.911787i | \(0.365297\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 3.80437i | − | 0.125906i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 30.5053 | + | 63.2790i | 1.00847 | + | 2.09194i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 21.2028 | − | 21.7551i | 0.700179 | − | 0.718418i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −17.5675 | − | 10.1426i | −0.579499 | − | 0.334574i | 0.181435 | − | 0.983403i | \(-0.441926\pi\) |
−0.760934 | + | 0.648829i | \(0.775259\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 26.8580 | + | 2.00174i | 0.885001 | + | 0.0659596i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −33.8383 | + | 58.6096i | −1.11380 | + | 1.92916i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.27445 | − | 9.13562i | −0.173423 | − | 0.300377i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −16.7790 | − | 42.6502i | −0.551096 | − | 1.40082i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 5.32035i | 0.174555i | 0.996184 | + | 0.0872775i | \(0.0278167\pi\) | ||||
−0.996184 | + | 0.0872775i | \(0.972183\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.0986831 | + | 3.83712i | 0.00323421 | + | 0.125757i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −32.3079 | − | 2.40793i | −1.05771 | − | 0.0788319i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −17.5285 | + | 10.1201i | −0.573243 | + | 0.330962i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.6595i | 0.413566i | 0.978387 | + | 0.206783i | \(0.0662995\pi\) | ||||
−0.978387 | + | 0.206783i | \(0.933701\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1.89803 | − | 25.4665i | 0.0619399 | − | 0.831067i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 36.1276i | 1.17772i | 0.808233 | + | 0.588862i | \(0.200424\pi\) | ||||
−0.808233 | + | 0.588862i | \(0.799576\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 18.8094 | 0.612518 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 21.0294 | + | 32.4452i | 0.684087 | + | 1.05544i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 14.7825i | − | 0.480367i | −0.970728 | − | 0.240183i | \(-0.922792\pi\) | ||
0.970728 | − | 0.240183i | \(-0.0772076\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 26.2947 | 0.853562 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 50.8630 | + | 3.79085i | 1.64934 | + | 0.122927i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −38.7897 | −1.25652 | −0.628260 | − | 0.778003i | \(-0.716233\pi\) | ||||
−0.628260 | + | 0.778003i | \(0.716233\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 9.22924 | + | 15.9855i | 0.298651 | + | 0.517279i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −2.53963 | + | 34.0750i | −0.0820945 | + | 1.10149i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1.20137 | + | 0.305409i | 0.0387943 | + | 0.00986216i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −23.3397 | −0.752894 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −9.78263 | − | 7.78837i | −0.315241 | − | 0.250977i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −54.3100 | + | 31.3559i | −1.74830 | + | 1.00938i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −11.6680 | − | 6.73651i | −0.375217 | − | 0.216632i | 0.300518 | − | 0.953776i | \(-0.402840\pi\) |
−0.675735 | + | 0.737144i | \(0.736174\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.192087 | − | 2.57730i | 0.00617074 | − | 0.0827947i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 24.9384 | − | 43.1946i | 0.800312 | − | 1.38618i | −0.119098 | − | 0.992882i | \(-0.538000\pi\) |
0.919411 | − | 0.393299i | \(-0.128666\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.52524 | + | 1.91304i | 0.241248 | + | 0.0613293i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −24.0746 | + | 11.6058i | −0.771003 | + | 0.371682i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1.24236 | −0.0397466 | −0.0198733 | − | 0.999803i | \(-0.506326\pi\) | ||||
−0.0198733 | + | 0.999803i | \(0.506326\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.95763 | + | 8.58687i | 0.158447 | + | 0.274437i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −7.96695 | − | 20.2510i | −0.254365 | − | 0.646565i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 11.2694 | − | 19.5192i | 0.359439 | − | 0.622567i | −0.628428 | − | 0.777868i | \(-0.716301\pi\) |
0.987867 | + | 0.155301i | \(0.0496346\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −41.5243 | + | 23.9741i | −1.32307 | + | 0.763877i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 10.2339 | + | 50.4176i | 0.325750 | + | 1.60481i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −5.19747 | + | 9.00228i | −0.165270 | + | 0.286256i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.51321 | + | 4.33776i | −0.238665 | + | 0.137793i | −0.614563 | − | 0.788868i | \(-0.710668\pi\) |
0.375898 | + | 0.926661i | \(0.377334\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −3.36437 | + | 45.1408i | −0.106765 | + | 1.43250i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 46.4125 | + | 26.7963i | 1.47138 | + | 0.849499i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.45870 | + | 4.30628i | 0.236219 | + | 0.136381i | 0.613438 | − | 0.789743i | \(-0.289786\pi\) |
−0.377219 | + | 0.926124i | \(0.623119\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −12.7966 | + | 13.8253i | −0.404867 | + | 0.437413i |
(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 | 1008.2.cz.g.607.1 | yes | 24 | |
3.2 | odd | 2 | 3024.2.cz.h.1279.3 | 24 | |||
4.3 | odd | 2 | 1008.2.cz.h.607.12 | yes | 24 | ||
7.3 | odd | 6 | 1008.2.bf.g.31.5 | ✓ | 24 | ||
9.2 | odd | 6 | 3024.2.bf.g.2287.3 | 24 | |||
9.7 | even | 3 | 1008.2.bf.h.943.8 | yes | 24 | ||
12.11 | even | 2 | 3024.2.cz.g.1279.3 | 24 | |||
21.17 | even | 6 | 3024.2.bf.h.1711.10 | 24 | |||
28.3 | even | 6 | 1008.2.bf.h.31.8 | yes | 24 | ||
36.7 | odd | 6 | 1008.2.bf.g.943.5 | yes | 24 | ||
36.11 | even | 6 | 3024.2.bf.h.2287.3 | 24 | |||
63.38 | even | 6 | 3024.2.cz.g.2719.3 | 24 | |||
63.52 | odd | 6 | 1008.2.cz.h.367.12 | yes | 24 | ||
84.59 | odd | 6 | 3024.2.bf.g.1711.10 | 24 | |||
252.115 | even | 6 | inner | 1008.2.cz.g.367.1 | yes | 24 | |
252.227 | odd | 6 | 3024.2.cz.h.2719.3 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1008.2.bf.g.31.5 | ✓ | 24 | 7.3 | odd | 6 | ||
1008.2.bf.g.943.5 | yes | 24 | 36.7 | odd | 6 | ||
1008.2.bf.h.31.8 | yes | 24 | 28.3 | even | 6 | ||
1008.2.bf.h.943.8 | yes | 24 | 9.7 | even | 3 | ||
1008.2.cz.g.367.1 | yes | 24 | 252.115 | even | 6 | inner | |
1008.2.cz.g.607.1 | yes | 24 | 1.1 | even | 1 | trivial | |
1008.2.cz.h.367.12 | yes | 24 | 63.52 | odd | 6 | ||
1008.2.cz.h.607.12 | yes | 24 | 4.3 | odd | 2 | ||
3024.2.bf.g.1711.10 | 24 | 84.59 | odd | 6 | |||
3024.2.bf.g.2287.3 | 24 | 9.2 | odd | 6 | |||
3024.2.bf.h.1711.10 | 24 | 21.17 | even | 6 | |||
3024.2.bf.h.2287.3 | 24 | 36.11 | even | 6 | |||
3024.2.cz.g.1279.3 | 24 | 12.11 | even | 2 | |||
3024.2.cz.g.2719.3 | 24 | 63.38 | even | 6 | |||
3024.2.cz.h.1279.3 | 24 | 3.2 | odd | 2 | |||
3024.2.cz.h.2719.3 | 24 | 252.227 | odd | 6 |