Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1456,2,Mod(225,1456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1456, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1456.225");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1456 = 2^{4} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1456.cc (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.6262185343\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 39 x^{10} - 140 x^{9} + 460 x^{8} - 1066 x^{7} + 2127 x^{6} - 3172 x^{5} + 3842 x^{4} - 3394 x^{3} + 2141 x^{2} - 832 x + 169 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 182) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 225.4 | ||
Root | \(0.500000 + 0.613147i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1456.225 |
Dual form | 1456.2.cc.d.673.4 |
$q$-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 \(\left(\mathbb{Z}/1456\mathbb{Z}\right)^\times\).
\(n\) | \(561\) | \(911\) | \(1093\) | \(1249\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.126439 | − | 0.218999i | 0.0729996 | − | 0.126439i | −0.827215 | − | 0.561885i | \(-0.810076\pi\) |
0.900215 | + | 0.435446i | \(0.143409\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.14776i | 0.513292i | 0.966505 | + | 0.256646i | \(0.0826174\pi\) | ||||
−0.966505 | + | 0.256646i | \(0.917383\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.866025 | − | 0.500000i | 0.327327 | − | 0.188982i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.46803 | + | 2.54270i | 0.489342 | + | 0.847565i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.84935 | − | 2.22243i | −1.16062 | − | 0.670086i | −0.209170 | − | 0.977879i | \(-0.567076\pi\) |
−0.951453 | + | 0.307793i | \(0.900410\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.54343 | + | 0.666437i | −0.982769 | + | 0.184837i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.251357 | + | 0.145121i | 0.0649001 | + | 0.0374701i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.35488 | + | 2.34672i | 0.328606 | + | 0.569163i | 0.982236 | − | 0.187652i | \(-0.0600877\pi\) |
−0.653629 | + | 0.756815i | \(0.726754\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.68371 | + | 3.28149i | −1.30393 | + | 0.752826i | −0.981076 | − | 0.193623i | \(-0.937976\pi\) |
−0.322856 | + | 0.946448i | \(0.604643\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 0.252878i | − | 0.0551825i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.04000 | − | 1.80133i | 0.216855 | − | 0.375603i | −0.736990 | − | 0.675904i | \(-0.763754\pi\) |
0.953845 | + | 0.300300i | \(0.0970869\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.68266 | 0.736531 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.50110 | 0.288886 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.59960 | + | 6.23469i | −0.668428 | + | 1.15775i | 0.309915 | + | 0.950764i | \(0.399699\pi\) |
−0.978344 | + | 0.206988i | \(0.933634\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.90895i | 1.42049i | 0.703955 | + | 0.710245i | \(0.251416\pi\) | ||||
−0.703955 | + | 0.710245i | \(0.748584\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.973417 | + | 0.562002i | −0.169450 | + | 0.0978321i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.573878 | + | 0.993985i | 0.0970030 | + | 0.168014i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.35199 | − | 4.82202i | −1.37306 | − | 0.792736i | −0.381746 | − | 0.924267i | \(-0.624677\pi\) |
−0.991312 | + | 0.131532i | \(0.958011\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.302078 | + | 0.860269i | −0.0483712 | + | 0.137753i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.22266 | − | 4.74735i | −1.28416 | − | 0.741412i | −0.306556 | − | 0.951852i | \(-0.599177\pi\) |
−0.977607 | + | 0.210441i | \(0.932510\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.70160 | + | 2.94725i | 0.259491 | + | 0.449452i | 0.966106 | − | 0.258147i | \(-0.0831118\pi\) |
−0.706614 | + | 0.707599i | \(0.749778\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.91839 | + | 1.68494i | −0.435048 | + | 0.251175i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − | 1.67435i | − | 0.244229i | −0.992516 | − | 0.122114i | \(-0.961033\pi\) | ||
0.992516 | − | 0.122114i | \(-0.0389674\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.500000 | − | 0.866025i | 0.0714286 | − | 0.123718i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.685238 | 0.0959525 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 13.2815 | 1.82436 | 0.912180 | − | 0.409789i | \(-0.134398\pi\) | ||||
0.912180 | + | 0.409789i | \(0.134398\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.55080 | − | 4.41812i | 0.343950 | − | 0.595739i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.65963i | 0.219824i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.0586805 | + | 0.0338792i | −0.00763956 | + | 0.00441070i | −0.503815 | − | 0.863812i | \(-0.668071\pi\) |
0.496175 | + | 0.868222i | \(0.334737\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.05023 | − | 7.01521i | −0.518579 | − | 0.898205i | −0.999767 | − | 0.0215878i | \(-0.993128\pi\) |
0.481188 | − | 0.876617i | \(-0.340205\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.54270 | + | 1.46803i | 0.320350 | + | 0.184954i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.764907 | − | 4.06699i | −0.0948751 | − | 0.504447i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.444700 | + | 0.256747i | 0.0543287 | + | 0.0313667i | 0.526918 | − | 0.849916i | \(-0.323347\pi\) |
−0.472590 | + | 0.881283i | \(0.656681\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.262993 | − | 0.455517i | −0.0316606 | − | 0.0548378i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.34208 | + | 5.39365i | −1.10870 | + | 0.640109i | −0.938493 | − | 0.345300i | \(-0.887777\pi\) |
−0.170208 | + | 0.985408i | \(0.554444\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.02452i | 0.939199i | 0.882880 | + | 0.469599i | \(0.155602\pi\) | ||||
−0.882880 | + | 0.469599i | \(0.844398\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.465632 | − | 0.806497i | 0.0537665 | − | 0.0931263i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −4.44485 | −0.506538 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.7404 | −1.20839 | −0.604193 | − | 0.796838i | \(-0.706504\pi\) | ||||
−0.604193 | + | 0.796838i | \(0.706504\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −4.21428 | + | 7.29935i | −0.468254 | + | 0.811039i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 15.3479i | 1.68465i | 0.538967 | + | 0.842327i | \(0.318815\pi\) | ||||
−0.538967 | + | 0.842327i | \(0.681185\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.69346 | + | 1.55507i | −0.292147 | + | 0.168671i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.910259 | + | 1.57661i | 0.0975900 | + | 0.169031i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 9.40465 | + | 5.42978i | 0.996891 | + | 0.575555i | 0.907327 | − | 0.420426i | \(-0.138119\pi\) |
0.0895643 | + | 0.995981i | \(0.471453\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.73548 | + | 2.34886i | −0.286756 | + | 0.246228i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.73205 | + | 1.00000i | 0.179605 | + | 0.103695i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.76635 | − | 6.52351i | −0.386419 | − | 0.669298i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.84198 | − | 1.06347i | 0.187025 | − | 0.107979i | −0.403564 | − | 0.914951i | \(-0.632229\pi\) |
0.590589 | + | 0.806973i | \(0.298895\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 13.0503i | − | 1.31161i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.00944 | + | 5.21251i | −0.299451 | + | 0.518664i | −0.976010 | − | 0.217724i | \(-0.930137\pi\) |
0.676560 | + | 0.736388i | \(0.263470\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.75670 | −0.567224 | −0.283612 | − | 0.958939i | \(-0.591533\pi\) | ||||
−0.283612 | + | 0.958939i | \(0.591533\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.290242 | 0.0283247 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −2.77468 | + | 4.80589i | −0.268239 | + | 0.464603i | −0.968407 | − | 0.249375i | \(-0.919775\pi\) |
0.700168 | + | 0.713978i | \(0.253108\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 7.96986i | − | 0.763374i | −0.924292 | − | 0.381687i | \(-0.875343\pi\) | ||
0.924292 | − | 0.381687i | \(-0.124657\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.11203 | + | 1.21938i | −0.200465 | + | 0.115739i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.18535 | + | 3.78514i | 0.205580 | + | 0.356076i | 0.950318 | − | 0.311282i | \(-0.100758\pi\) |
−0.744737 | + | 0.667358i | \(0.767425\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.06749 | + | 1.19366i | 0.192794 | + | 0.111310i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −6.89639 | − | 8.03151i | −0.637571 | − | 0.742513i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.34672 | + | 1.35488i | 0.215123 | + | 0.124202i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.37835 | + | 7.58352i | 0.398032 | + | 0.689411i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.07933 | + | 1.20050i | −0.187487 | + | 0.108246i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.96557i | 0.891347i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.43247 | + | 5.94522i | −0.304583 | + | 0.527553i | −0.977168 | − | 0.212467i | \(-0.931850\pi\) |
0.672586 | + | 0.740019i | \(0.265184\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.860593 | 0.0757710 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 16.1996 | 1.41537 | 0.707683 | − | 0.706530i | \(-0.249741\pi\) | ||||
0.707683 | + | 0.706530i | \(0.249741\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.28149 | + | 5.68371i | −0.284541 | + | 0.492840i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.72289i | 0.148283i | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.50527 | − | 2.60112i | 0.384911 | − | 0.222229i | −0.295042 | − | 0.955484i | \(-0.595334\pi\) |
0.679953 | + | 0.733256i | \(0.262000\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.87013 | + | 4.97122i | 0.243442 | + | 0.421653i | 0.961692 | − | 0.274131i | \(-0.0883902\pi\) |
−0.718251 | + | 0.695784i | \(0.755057\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.366680 | − | 0.211703i | −0.0308800 | − | 0.0178286i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 15.1210 | + | 5.30964i | 1.26448 | + | 0.444015i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.15589 | − | 4.13146i | −0.594265 | − | 0.343099i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.126439 | − | 0.218999i | −0.0104285 | − | 0.0180627i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.62042 | − | 1.51290i | 0.214673 | − | 0.123941i | −0.388808 | − | 0.921319i | \(-0.627113\pi\) |
0.603481 | + | 0.797377i | \(0.293780\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 1.27030i | − | 0.103376i | −0.998663 | − | 0.0516879i | \(-0.983540\pi\) | ||
0.998663 | − | 0.0516879i | \(-0.0164601\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.97800 | + | 6.89009i | −0.321602 | + | 0.557031i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −9.07754 | −0.729126 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.11859 | −0.328699 | −0.164350 | − | 0.986402i | \(-0.552553\pi\) | ||||
−0.164350 | + | 0.986402i | \(0.552553\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.67931 | − | 2.90864i | 0.133178 | − | 0.230670i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 2.08000i | − | 0.163927i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.71606 | − | 5.60957i | 0.761021 | − | 0.439376i | −0.0686413 | − | 0.997641i | \(-0.521866\pi\) |
0.829662 | + | 0.558266i | \(0.188533\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.645041 | − | 1.11724i | −0.0502164 | − | 0.0869774i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.46184 | + | 1.99869i | 0.267885 | + | 0.154664i | 0.627926 | − | 0.778273i | \(-0.283904\pi\) |
−0.360041 | + | 0.932936i | \(0.617237\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.1117 | − | 4.72294i | 0.931671 | − | 0.363303i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −16.6877 | − | 9.63463i | −1.27614 | − | 0.736778i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −6.08396 | − | 10.5377i | −0.462555 | − | 0.801168i | 0.536533 | − | 0.843879i | \(-0.319734\pi\) |
−0.999087 | + | 0.0427113i | \(0.986400\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.18927 | − | 1.84133i | 0.241087 | − | 0.139191i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.0171346i | 0.00128792i | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.93554 | − | 10.2806i | 0.443643 | − | 0.768412i | −0.554314 | − | 0.832308i | \(-0.687019\pi\) |
0.997957 | + | 0.0638960i | \(0.0203526\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.79134 | −0.356137 | −0.178069 | − | 0.984018i | \(-0.556985\pi\) | ||||
−0.178069 | + | 0.984018i | \(0.556985\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.04843 | −0.151424 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 5.53450 | − | 9.58604i | 0.406905 | − | 0.704780i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 12.0445i | − | 0.880779i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.29999 | − | 0.750549i | 0.0945602 | − | 0.0545944i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 7.79263 | + | 13.4972i | 0.563855 | + | 0.976625i | 0.997155 | + | 0.0753756i | \(0.0240156\pi\) |
−0.433300 | + | 0.901250i | \(0.642651\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.2295 | − | 8.79275i | −1.09624 | − | 0.632916i | −0.161011 | − | 0.986953i | \(-0.551475\pi\) |
−0.935231 | + | 0.354037i | \(0.884809\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.987379 | − | 0.346712i | −0.0707077 | − | 0.0248285i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.458833 | − | 0.264907i | −0.0326905 | − | 0.0188739i | 0.483566 | − | 0.875308i | \(-0.339341\pi\) |
−0.516256 | + | 0.856434i | \(0.672675\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.5732 | − | 21.7775i | −0.891294 | − | 1.54377i | −0.838326 | − | 0.545170i | \(-0.816465\pi\) |
−0.0529680 | − | 0.998596i | \(-0.516868\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.112455 | − | 0.0649258i | 0.00793195 | − | 0.00457951i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 7.19919i | 0.505284i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.44880 | − | 9.43760i | 0.380561 | − | 0.659150i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 6.10698 | 0.424465 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 29.1715 | 2.01783 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.72085 | − | 4.71265i | 0.187311 | − | 0.324432i | −0.757042 | − | 0.653366i | \(-0.773356\pi\) |
0.944353 | + | 0.328934i | \(0.106689\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.72787i | 0.186911i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.38273 | + | 1.95302i | −0.230700 | + | 0.133195i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.95448 | + | 6.84935i | 0.268447 | + | 0.464964i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.75736 | + | 1.01461i | 0.118751 | + | 0.0685611i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.36485 | − | 7.41248i | −0.428146 | − | 0.498617i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.00684 | − | 4.62275i | −0.536177 | − | 0.309562i | 0.207351 | − | 0.978267i | \(-0.433516\pi\) |
−0.743528 | + | 0.668704i | \(0.766849\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.40624 | + | 9.36388i | 0.360416 | + | 0.624259i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1.30318 | − | 0.752389i | 0.0864948 | − | 0.0499378i | −0.456129 | − | 0.889914i | \(-0.650764\pi\) |
0.542624 | + | 0.839976i | \(0.317431\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 25.4380i | 1.68099i | 0.541818 | + | 0.840496i | \(0.317736\pi\) | ||||
−0.541818 | + | 0.840496i | \(0.682264\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.562002 | + | 0.973417i | −0.0369770 | + | 0.0640461i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 12.1004 | 0.792724 | 0.396362 | − | 0.918094i | \(-0.370273\pi\) | ||||
0.396362 | + | 0.918094i | \(0.370273\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.92174 | 0.125361 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.35800 | + | 2.35213i | −0.0882116 | + | 0.152787i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 5.57964i | − | 0.360917i | −0.983583 | − | 0.180458i | \(-0.942242\pi\) | ||
0.983583 | − | 0.180458i | \(-0.0577581\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 20.1291 | − | 11.6215i | 1.29663 | − | 0.748608i | 0.316807 | − | 0.948490i | \(-0.397389\pi\) |
0.979820 | + | 0.199882i | \(0.0640559\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 3.31734 | + | 5.74581i | 0.212808 | + | 0.368594i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.993985 | + | 0.573878i | 0.0635034 | + | 0.0366637i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 17.9529 | − | 15.4156i | 1.14231 | − | 0.980868i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.36118 | + | 1.94058i | 0.213006 | + | 0.122979i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 11.8707 | + | 20.5607i | 0.749273 | + | 1.29778i | 0.948171 | + | 0.317760i | \(0.102930\pi\) |
−0.198898 | + | 0.980020i | \(0.563736\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.00664 | + | 4.62264i | −0.503373 | + | 0.290623i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.786486i | 0.0492517i | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.50520 | − | 6.07118i | 0.218648 | − | 0.378710i | −0.735747 | − | 0.677257i | \(-0.763169\pi\) |
0.954395 | + | 0.298547i | \(0.0965020\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −9.64405 | −0.599252 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −21.1372 | −1.30836 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 15.4226 | − | 26.7127i | 0.950998 | − | 1.64718i | 0.207728 | − | 0.978187i | \(-0.433393\pi\) |
0.743270 | − | 0.668991i | \(-0.233274\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.2440i | 0.936429i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.37823 | − | 1.37307i | 0.145545 | − | 0.0840306i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.81595 | + | 4.87737i | 0.171692 | + | 0.297379i | 0.939011 | − | 0.343886i | \(-0.111743\pi\) |
−0.767320 | + | 0.641265i | \(0.778410\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.60224 | + | 1.50240i | 0.158075 | + | 0.0912645i | 0.576951 | − | 0.816779i | \(-0.304242\pi\) |
−0.418876 | + | 0.908043i | \(0.637576\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.168527 | + | 0.896054i | 0.0101997 | + | 0.0542317i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −14.1759 | − | 8.18443i | −0.854836 | − | 0.493540i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.0866 | − | 20.9346i | −0.726214 | − | 1.25784i | −0.958473 | − | 0.285185i | \(-0.907945\pi\) |
0.232259 | − | 0.972654i | \(-0.425388\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −20.1101 | + | 11.6106i | −1.20396 | + | 0.695105i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 1.74575i | − | 0.104143i | −0.998643 | − | 0.0520713i | \(-0.983418\pi\) | ||
0.998643 | − | 0.0520713i | \(-0.0165823\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.0572 | + | 22.6156i | −0.776167 | + | 1.34436i | 0.157969 | + | 0.987444i | \(0.449505\pi\) |
−0.934136 | + | 0.356917i | \(0.883828\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.90485 | −0.112834 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −9.49471 | −0.560455 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.82861 | − | 8.36339i | 0.284036 | − | 0.491964i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 0.537855i | − | 0.0315296i | ||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −4.89767 | + | 2.82767i | −0.286125 | + | 0.165194i | −0.636193 | − | 0.771530i | \(-0.719492\pi\) |
0.350068 | + | 0.936724i | \(0.386159\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0388851 | − | 0.0673509i | −0.00226398 | − | 0.00392132i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −5.77825 | − | 3.33608i | −0.335288 | − | 0.193579i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.48468 | + | 7.07597i | −0.143693 | + | 0.409214i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.94725 | + | 1.70160i | 0.169877 | + | 0.0980785i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.761021 | + | 1.31813i | 0.0437195 | + | 0.0757245i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 8.05174 | − | 4.64868i | 0.461041 | − | 0.266182i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 20.4767i | − | 1.16867i | −0.811514 | − | 0.584333i | \(-0.801356\pi\) | ||
0.811514 | − | 0.584333i | \(-0.198644\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.727871 | + | 1.26071i | −0.0414071 | + | 0.0717193i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.23712 | −0.0701506 | −0.0350753 | − | 0.999385i | \(-0.511167\pi\) | ||||
−0.0350753 | + | 0.999385i | \(0.511167\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.01151 | −0.509361 | −0.254680 | − | 0.967025i | \(-0.581970\pi\) | ||||
−0.254680 | + | 0.967025i | \(0.581970\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.68494 | + | 2.91839i | −0.0949353 | + | 0.164433i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0.580644i | 0.0326122i | 0.999867 | + | 0.0163061i | \(0.00519062\pi\) | ||||
−0.999867 | + | 0.0163061i | \(0.994809\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 27.7122 | − | 15.9997i | 1.55159 | − | 0.895810i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.701656 | + | 1.21530i | 0.0391626 | + | 0.0678317i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −15.4015 | − | 8.89204i | −0.856961 | − | 0.494767i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.0492 | + | 2.45426i | −0.723841 | + | 0.136138i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −1.74539 | − | 1.00770i | −0.0965202 | − | 0.0557260i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.837173 | − | 1.45003i | −0.0461549 | − | 0.0799426i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 27.1632 | − | 15.6827i | 1.49303 | − | 0.861999i | 0.493058 | − | 0.869996i | \(-0.335879\pi\) |
0.999968 | + | 0.00799735i | \(0.00254566\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | − | 28.3154i | − | 1.55168i | ||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.294683 | + | 0.510406i | −0.0161003 | + | 0.0278865i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.43033 | 0.513703 | 0.256851 | − | 0.966451i | \(-0.417315\pi\) | ||||
0.256851 | + | 0.966451i | \(0.417315\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.10525 | 0.0600292 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 17.5771 | − | 30.4444i | 0.951851 | − | 1.64865i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.522822 | − | 0.301851i | 0.0281478 | − | 0.0162511i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 3.23650 | + | 5.60578i | 0.173744 | + | 0.300934i | 0.939726 | − | 0.341928i | \(-0.111080\pi\) |
−0.765982 | + | 0.642862i | \(0.777747\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.57811 | + | 4.95258i | 0.459176 | + | 0.265105i | 0.711698 | − | 0.702486i | \(-0.247927\pi\) |
−0.252522 | + | 0.967591i | \(0.581260\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.31903 | + | 1.00039i | −0.283909 | + | 0.0533967i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 24.9206 | + | 14.3879i | 1.32639 | + | 0.765790i | 0.984739 | − | 0.174037i | \(-0.0556814\pi\) |
0.341649 | + | 0.939828i | \(0.389015\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.19059 | − | 10.7224i | −0.328562 | − | 0.569087i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.593434 | − | 0.342619i | 0.0314078 | − | 0.0181333i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 12.1382i | 0.640631i | 0.947311 | + | 0.320315i | \(0.103789\pi\) | ||||
−0.947311 | + | 0.320315i | \(0.896211\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.0364 | − | 20.8476i | 0.633493 | − | 1.09724i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.21438 | 0.116225 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.21019 | −0.482083 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.5388 | + | 23.4498i | −0.706717 | + | 1.22407i | 0.259351 | + | 0.965783i | \(0.416491\pi\) |
−0.966068 | + | 0.258287i | \(0.916842\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 27.8770i | − | 1.45122i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 11.5022 | − | 6.64077i | 0.597162 | − | 0.344772i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.81661 | + | 13.5388i | 0.404729 | + | 0.701010i | 0.994290 | − | 0.106713i | \(-0.0340327\pi\) |
−0.589561 | + | 0.807724i | \(0.700699\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.18245 | + | 1.26004i | 0.112701 | + | 0.0650680i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 8.59987 | − | 24.4910i | 0.442916 | − | 1.26135i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 32.3295 | + | 18.6654i | 1.66065 | + | 0.958778i | 0.972404 | + | 0.233304i | \(0.0749536\pi\) |
0.688249 | + | 0.725475i | \(0.258380\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.867997 | + | 1.50341i | 0.0444688 | + | 0.0770223i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 32.8193 | − | 18.9482i | 1.67699 | − | 0.968209i | 0.713421 | − | 0.700736i | \(-0.247145\pi\) |
0.963565 | − | 0.267473i | \(-0.0861886\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | − | 5.10160i | − | 0.260002i | ||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −4.99598 | + | 8.65329i | −0.253960 | + | 0.439872i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −10.1053 | −0.512361 | −0.256180 | − | 0.966629i | \(-0.582464\pi\) | ||||
−0.256180 | + | 0.966629i | \(0.582464\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.63629 | 0.285039 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 2.04826 | − | 3.54769i | 0.103321 | − | 0.178957i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | − | 12.3273i | − | 0.620254i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.77041 | − | 2.75419i | 0.239420 | − | 0.138229i | −0.375490 | − | 0.926826i | \(-0.622526\pi\) |
0.614910 | + | 0.788597i | \(0.289192\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.829817 | + | 1.43728i | 0.0415428 | + | 0.0719542i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −23.1657 | − | 13.3747i | −1.15684 | − | 0.667903i | −0.206296 | − | 0.978490i | \(-0.566141\pi\) |
−0.950545 | + | 0.310587i | \(0.899474\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.27082 | − | 28.0248i | −0.262558 | − | 1.39601i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −8.37787 | − | 4.83696i | −0.416300 | − | 0.240351i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 21.4332 | + | 37.1233i | 1.06240 | + | 1.84014i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −27.7124 | + | 15.9998i | −1.37029 | + | 0.791137i | −0.990964 | − | 0.134127i | \(-0.957177\pi\) |
−0.379325 | + | 0.925264i | \(0.623844\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 1.31553i | − | 0.0648904i | ||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.0338792 | + | 0.0586805i | −0.00166709 | + | 0.00288748i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −17.6157 | −0.864719 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.45159 | 0.0710846 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 5.84782 | − | 10.1287i | 0.285685 | − | 0.494821i | −0.687090 | − | 0.726572i | \(-0.741112\pi\) |
0.972775 | + | 0.231751i | \(0.0744456\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 25.8565i | − | 1.26017i | −0.776527 | − | 0.630084i | \(-0.783021\pi\) | ||
0.776527 | − | 0.630084i | \(-0.216979\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 4.25736 | − | 2.45799i | 0.207000 | − | 0.119511i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.98956 | + | 8.64216i | 0.242029 | + | 0.419206i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.01521 | − | 4.05023i | −0.339490 | − | 0.196004i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 3.07469 | − | 2.64014i | 0.148447 | − | 0.127467i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −9.27186 | − | 5.35311i | −0.446610 | − | 0.257850i | 0.259788 | − | 0.965666i | \(-0.416347\pi\) |
−0.706397 | + | 0.707816i | \(0.749681\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.2150 | + | 19.4249i | 0.538956 | + | 0.933500i | 0.998961 | + | 0.0455830i | \(0.0145146\pi\) |
−0.460004 | + | 0.887917i | \(0.652152\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.80957 | + | 1.04475i | −0.0867621 | + | 0.0500922i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 13.6510i | 0.653015i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.35913 | − | 11.0143i | 0.303505 | − | 0.525686i | −0.673423 | − | 0.739258i | \(-0.735177\pi\) |
0.976927 | + | 0.213572i | \(0.0685099\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.93605 | 0.139812 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 7.86448 | 0.373653 | 0.186826 | − | 0.982393i | \(-0.440180\pi\) | ||||
0.186826 | + | 0.982393i | \(0.440180\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.23206 | + | 10.7942i | −0.295428 | + | 0.511696i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 0.765157i | − | 0.0361907i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −14.5815 | + | 8.41864i | −0.688144 | + | 0.397300i | −0.802916 | − | 0.596092i | \(-0.796720\pi\) |
0.114772 | + | 0.993392i | \(0.463386\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 21.1013 | + | 36.5485i | 0.993620 | + | 1.72100i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.278195 | − | 0.160616i | −0.0130707 | − | 0.00754639i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −2.69592 | − | 3.13966i | −0.126387 | − | 0.147189i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.96539 | + | 4.59882i | 0.372605 | + | 0.215124i | 0.674596 | − | 0.738187i | \(-0.264318\pi\) |
−0.301991 | + | 0.953311i | \(0.597651\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.03380 | + | 3.52265i | 0.0949299 | + | 0.164423i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −18.8812 | + | 10.9010i | −0.879383 | + | 0.507712i | −0.870455 | − | 0.492248i | \(-0.836175\pi\) |
−0.00892828 | + | 0.999960i | \(0.502842\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 26.0636i | 1.21128i | 0.795740 | + | 0.605638i | \(0.207082\pi\) | ||||
−0.795740 | + | 0.605638i | \(0.792918\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.14776 | + | 1.98797i | −0.0532259 | + | 0.0921899i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −28.6668 | −1.32654 | −0.663271 | − | 0.748379i | \(-0.730832\pi\) | ||||
−0.663271 | + | 0.748379i | \(0.730832\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.513495 | 0.0237110 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.520751 | + | 0.901966i | −0.0239949 | + | 0.0415604i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | − | 15.1267i | − | 0.695526i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −20.9312 | + | 12.0846i | −0.960387 | + | 0.554480i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 19.4977 | + | 33.7709i | 0.892736 | + | 1.54626i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 15.5679 | + | 8.98812i | 0.711315 | + | 0.410678i | 0.811548 | − | 0.584286i | \(-0.198625\pi\) |
−0.100233 | + | 0.994964i | \(0.531959\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 32.8082 | + | 11.5204i | 1.49593 | + | 0.525285i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.455517 | − | 0.262993i | −0.0207267 | − | 0.0119666i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.22060 | + | 2.11414i | 0.0554247 | + | 0.0959983i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.9847 | + | 10.9608i | −0.860278 | + | 0.496681i | −0.864105 | − | 0.503311i | \(-0.832115\pi\) |
0.00382768 | + | 0.999993i | \(0.498782\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | − | 2.83707i | − | 0.128297i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 10.8003 | − | 18.7067i | 0.487411 | − | 0.844221i | −0.512484 | − | 0.858697i | \(-0.671275\pi\) |
0.999895 | + | 0.0144759i | \(0.00460798\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −19.5081 | −0.878599 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 14.9786 | 0.673237 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −5.39365 | + | 9.34208i | −0.241938 | + | 0.419049i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 38.6105i | − | 1.72844i | −0.503112 | − | 0.864221i | \(-0.667812\pi\) | ||
0.503112 | − | 0.864221i | \(-0.332188\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.875423 | − | 0.505426i | 0.0391110 | − | 0.0225807i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −4.73503 | − | 8.20132i | −0.211125 | − | 0.365679i | 0.740942 | − | 0.671569i | \(-0.234379\pi\) |
−0.952067 | + | 0.305890i | \(0.901046\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.98268 | − | 3.45410i | −0.266226 | − | 0.153706i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.497075 | − | 3.24962i | 0.0220759 | − | 0.144321i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 11.3043 | + | 6.52651i | 0.501052 | + | 0.289283i | 0.729148 | − | 0.684356i | \(-0.239917\pi\) |
−0.228096 | + | 0.973639i | \(0.573250\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.01226 | + | 6.94944i | 0.177492 | + | 0.307425i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −8.53180 | + | 4.92584i | −0.376688 | + | 0.217481i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | − | 6.60728i | − | 0.291152i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.72111 | + | 6.44515i | −0.163654 | + | 0.283457i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −3.07700 | −0.135065 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 10.3444 | 0.453196 | 0.226598 | − | 0.973988i | \(-0.427240\pi\) | ||||
0.226598 | + | 0.973988i | \(0.427240\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.06684 | + | 1.84782i | −0.0466497 | + | 0.0807996i | −0.888407 | − | 0.459056i | \(-0.848188\pi\) |
0.841758 | + | 0.539855i | \(0.181521\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | − | 0.931263i | − | 0.0406437i | ||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −18.5601 | + | 10.7157i | −0.808490 | + | 0.466782i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.33681 | + | 16.1718i | 0.405948 | + | 0.703123i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.172289 | − | 0.0994712i | −0.00747671 | − | 0.00431668i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 32.3002 | + | 11.3420i | 1.39908 | + | 0.491277i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.51599 | − | 3.18466i | −0.238477 | − | 0.137685i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.50097 | − | 2.59975i | −0.0647715 | − | 0.112187i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.84935 | + | 2.22243i | −0.165803 | + | 0.0957266i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 8.41225i | − | 0.361671i | −0.983513 | − | 0.180836i | \(-0.942120\pi\) | ||
0.983513 | − | 0.180836i | \(-0.0578802\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.605812 | + | 1.04930i | −0.0259979 | + | 0.0450297i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 9.14745 | 0.391834 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.00730 | 0.0430692 | 0.0215346 | − | 0.999768i | \(-0.493145\pi\) | ||||
0.0215346 | + | 0.999768i | \(0.493145\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 11.8917 | − | 20.5970i | 0.507525 | − | 0.879059i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 47.2482i | − | 2.01284i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.30143 | + | 5.37018i | −0.395537 | + | 0.228363i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.39955 | − | 2.42410i | −0.0594078 | − | 0.102897i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 37.9237 | + | 21.8953i | 1.60688 | + | 0.927732i | 0.990063 | + | 0.140624i | \(0.0449110\pi\) |
0.616816 | + | 0.787108i | \(0.288422\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.99365 | − | 9.30937i | −0.338095 | − | 0.393744i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.63772 | − | 1.52289i | −0.111365 | − | 0.0642965i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.11334 | − | 3.66041i | −0.0890665 | − | 0.154268i | 0.818050 | − | 0.575147i | \(-0.195055\pi\) |
−0.907117 | + | 0.420879i | \(0.861722\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.34441 | + | 2.50825i | −0.182771 | + | 0.105523i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 8.42856i | 0.353966i | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 4.71320 | − | 8.16349i | 0.197587 | − | 0.342231i | −0.750158 | − | 0.661258i | \(-0.770023\pi\) |
0.947746 | + | 0.319027i | \(0.103356\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −25.5304 | −1.06842 | −0.534208 | − | 0.845353i | \(-0.679390\pi\) | ||||
−0.534208 | + | 0.845353i | \(0.679390\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.94117 | 0.164645 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3.82996 | − | 6.63368i | 0.159720 | − | 0.276644i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 31.7623i | 1.32228i | 0.750262 | + | 0.661141i | \(0.229927\pi\) | ||||
−0.750262 | + | 0.661141i | \(0.770073\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −3.85120 | + | 2.22349i | −0.160050 | + | 0.0924052i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.67396 | + | 13.2917i | 0.318370 | + | 0.551432i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −51.1254 | − | 29.5172i | −2.11740 | − | 1.22248i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 9.21820 | − | 7.91537i | 0.381126 | − | 0.327260i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 29.7429 | + | 17.1721i | 1.22762 | + | 0.708768i | 0.966532 | − | 0.256546i | \(-0.0825846\pi\) |
0.261090 | + | 0.965314i | \(0.415918\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −25.9532 | − | 44.9522i | −1.06938 | − | 1.85222i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.116029 | + | 0.0669892i | −0.00477278 | + | 0.00275557i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 15.1751i | 0.623168i | 0.950219 | + | 0.311584i | \(0.100860\pi\) | ||||
−0.950219 | + | 0.311584i | \(0.899140\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.55507 | + | 2.69346i | −0.0637516 | + | 0.110421i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −6.35899 | −0.260256 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −7.48641 | −0.305886 | −0.152943 | − | 0.988235i | \(-0.548875\pi\) | ||||
−0.152943 | + | 0.988235i | \(0.548875\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −18.2071 | + | 31.5356i | −0.742683 | + | 1.28637i | 0.208586 | + | 0.978004i | \(0.433114\pi\) |
−0.951269 | + | 0.308361i | \(0.900219\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.50765i | 0.0613962i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −8.70403 | + | 5.02527i | −0.353869 | + | 0.204306i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.26168 | + | 3.91735i | 0.0917989 | + | 0.159000i | 0.908268 | − | 0.418389i | \(-0.137405\pi\) |
−0.816469 | + | 0.577389i | \(0.804072\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.57661 | + | 0.910259i | 0.0638877 | + | 0.0368856i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.11585 | + | 5.93292i | 0.0451424 | + | 0.240020i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −34.8434 | − | 20.1168i | −1.40731 | − | 0.812512i | −0.412183 | − | 0.911101i | \(-0.635234\pi\) |
−0.995128 | + | 0.0985892i | \(0.968567\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −1.37788 | − | 2.38656i | −0.0555615 | − | 0.0962354i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −34.2107 | + | 19.7516i | −1.37727 | + | 0.795168i | −0.991830 | − | 0.127565i | \(-0.959284\pi\) |
−0.385440 | + | 0.922733i | \(0.625950\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.9229i | 0.921348i | 0.887569 | + | 0.460674i | \(0.152392\pi\) | ||||
−0.887569 | + | 0.460674i | \(0.847608\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.56114 | − | 2.70397i | 0.0626463 | − | 0.108507i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 10.8596 | 0.435079 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.97525 | 0.279010 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.68841 | − | 6.38852i | 0.147301 | − | 0.255133i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 26.1330i | − | 1.04199i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.11897 | + | 1.80074i | −0.124164 | + | 0.0716862i | −0.560796 | − | 0.827954i | \(-0.689505\pi\) |
0.436632 | + | 0.899640i | \(0.356171\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.688043 | − | 1.19173i | −0.0273472 | − | 0.0473668i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −6.82365 | − | 3.93964i | −0.270788 | − | 0.156340i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.19456 | + | 3.40191i | −0.0473302 | + | 0.134789i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −27.4288 | − | 15.8360i | −1.08507 | − | 0.626464i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.60928 | + | 4.51940i | 0.103060 | + | 0.178506i | 0.912944 | − | 0.408085i | \(-0.133803\pi\) |
−0.809884 | + | 0.586590i | \(0.800470\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −18.1006 | + | 10.4504i | −0.713820 | + | 0.412124i | −0.812474 | − | 0.582998i | \(-0.801880\pi\) |
0.0986540 | + | 0.995122i | \(0.468546\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.987751i | 0.0388927i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 3.81055 | − | 6.60007i | 0.149808 | − | 0.259476i | −0.781348 | − | 0.624095i | \(-0.785468\pi\) |
0.931156 | + | 0.364620i | \(0.118801\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.301176 | 0.0118222 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.00000 | 0.0783862 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 12.8910 | − | 22.3278i | 0.504462 | − | 0.873755i | −0.495524 | − | 0.868594i | \(-0.665024\pi\) |
0.999987 | − | 0.00516051i | \(-0.00164265\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 18.5932i | 0.726495i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −20.4039 | + | 11.7802i | −0.796033 | + | 0.459590i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.82964 | + | 13.5613i | 0.305000 | + | 0.528275i | 0.977261 | − | 0.212039i | \(-0.0680103\pi\) |
−0.672262 | + | 0.740314i | \(0.734677\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −27.4434 | − | 15.8444i | −1.06742 | − | 0.616277i | −0.139947 | − | 0.990159i | \(-0.544693\pi\) |
−0.927476 | + | 0.373881i | \(0.878027\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.42809 | + | 0.456668i | −0.0942992 | + | 0.0177355i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −6.52351 | − | 3.76635i | −0.252971 | − | 0.146053i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.48715 | + | 12.9681i | 0.289904 | + | 0.502128i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −2.02475 | + | 1.16899i | −0.0782815 | + | 0.0451958i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 36.0054i | 1.38997i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.38642 | − | 14.5257i | 0.323273 | − | 0.559925i | −0.657889 | − | 0.753115i | \(-0.728550\pi\) |
0.981161 | + | 0.193190i | \(0.0618835\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 5.52803 | 0.212774 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −8.34791 | −0.320836 | −0.160418 | − | 0.987049i | \(-0.551284\pi\) | ||||
−0.160418 | + | 0.987049i | \(0.551284\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.06347 | − | 1.84198i | 0.0408122 | − | 0.0706887i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 0.380525i | − | 0.0145818i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 23.5376 | − | 13.5895i | 0.900642 | − | 0.519986i | 0.0232337 | − | 0.999730i | \(-0.492604\pi\) |
0.877408 | + | 0.479744i | \(0.159270\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.98545 | + | 5.17095i | 0.114068 | + | 0.197572i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.57089 | + | 3.21636i | 0.212543 | + | 0.122712i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −47.0622 | + | 8.85132i | −1.79293 | + | 0.337208i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.7403 | − | 13.1291i | −0.865080 | − | 0.499454i | 0.000629844 | − | 1.00000i | \(-0.499800\pi\) |
−0.865710 | + | 0.500545i | \(0.833133\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −6.52516 | − | 11.3019i | −0.247870 | − | 0.429324i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −5.70574 | + | 3.29421i | −0.216431 | + | 0.124957i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 25.7284i | − | 0.974531i | ||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.52996 | − | 2.64997i | 0.0578685 | − | 0.100231i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −26.4443 | −0.998786 | −0.499393 | − | 0.866376i | \(-0.666444\pi\) | ||||
−0.499393 | + | 0.866376i | \(0.666444\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 63.2937 | 2.38717 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.242983 | − | 0.420859i | 0.00915127 | − | 0.0158505i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 6.01888i | 0.226363i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.0688 | − | 5.81322i | 0.378141 | − | 0.218320i | −0.298868 | − | 0.954294i | \(-0.596609\pi\) |
0.677009 | + | 0.735975i | \(0.263276\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −15.7671 | − | 27.3095i | −0.591314 | − | 1.02419i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 14.2466 | + | 8.22530i | 0.533541 | + | 0.308040i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.09417 | + | 17.3552i | −0.227909 | + | 0.649048i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.22193 | − | 0.705484i | −0.0456339 | − | 0.0263468i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 22.4379 | + | 38.8636i | 0.836793 | + | 1.44937i | 0.892562 | + | 0.450925i | \(0.148906\pi\) |
−0.0557687 | + | 0.998444i | \(0.517761\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.98545 | + | 2.87835i | −0.185668 | + | 0.107195i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 5.87765i | − | 0.218592i | ||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −13.2561 | + | 22.9602i | −0.492319 | + | 0.852721i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −19.5156 | −0.723793 | −0.361896 | − | 0.932218i | \(-0.617871\pi\) | ||||
−0.361896 | + | 0.932218i | \(0.617871\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −23.6079 | −0.874368 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.61092 | + | 7.98635i | −0.170541 | + | 0.295386i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.7037i | 0.395349i | 0.980268 | + | 0.197675i | \(0.0633390\pi\) | ||||
−0.980268 | + | 0.197675i | \(0.936661\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.251357 | − | 0.145121i | 0.00927144 | − | 0.00535287i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.14120 | − | 1.97662i | −0.0420368 | − | 0.0728099i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.413619 | − | 0.238803i | −0.0152152 | − | 0.00878452i | 0.492373 | − | 0.870384i | \(-0.336130\pi\) |
−0.507588 | + | 0.861600i | \(0.669463\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.10604 | − | 5.88079i | −0.0406315 | − | 0.216036i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −8.43019 | − | 4.86717i | −0.309274 | − | 0.178559i | 0.337328 | − | 0.941387i | \(-0.390477\pi\) |
−0.646601 | + | 0.762828i | \(0.723810\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.73644 | + | 3.00760i | 0.0636181 | + | 0.110190i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −39.0251 | + | 22.5312i | −1.42785 | + | 0.824372i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 5.54937i | 0.202769i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −18.1084 | + | 31.3646i | −0.660784 | + | 1.14451i | 0.319626 | + | 0.947544i | \(0.396443\pi\) |
−0.980410 | + | 0.196967i | \(0.936891\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 6.00369 | 0.218787 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.45800 | 0.0530619 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −23.2347 | + | 40.2436i | −0.844479 | + | 1.46268i | 0.0415945 | + | 0.999135i | \(0.486756\pi\) |
−0.886073 | + | 0.463545i | \(0.846577\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 2.33793i | 0.0848614i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 18.5037 | − | 10.6831i | 0.670760 | − | 0.387263i | −0.125605 | − | 0.992080i | \(-0.540087\pi\) |
0.796365 | + | 0.604817i | \(0.206754\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.98493 | − | 6.90210i | −0.144264 | − | 0.249873i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −7.90814 | − | 4.56577i | −0.285919 | − | 0.165076i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.185352 | − | 0.159155i | 0.00669266 | − | 0.00574677i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −39.8297 | − | 22.9957i | −1.43630 | − | 0.829246i | −0.438706 | − | 0.898631i | \(-0.644563\pi\) |
−0.997590 | + | 0.0693848i | \(0.977896\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.886387 | − | 1.53527i | −0.0319225 | − | 0.0552913i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 17.2754 | − | 9.97393i | 0.621351 | − | 0.358737i | −0.156044 | − | 0.987750i | \(-0.549874\pi\) |
0.777395 | + | 0.629013i | \(0.216541\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 29.1260i | 1.04624i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.21938 | + | 2.11203i | −0.0437451 | + | 0.0757688i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 62.3136 | 2.23262 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 47.9479 | 1.71571 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.40334 | + | 9.35887i | −0.193100 | + | 0.334459i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | − | 4.72714i | − | 0.168719i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −38.0726 | + | 21.9812i | −1.35714 | + | 0.783546i | −0.989238 | − | 0.146318i | \(-0.953258\pi\) |
−0.367904 | + | 0.929864i | \(0.619925\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −3.90004 | − | 6.75506i | −0.138845 | − | 0.240487i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 3.78514 | + | 2.18535i | 0.134584 | + | 0.0777021i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 19.0269 | + | 22.1586i | 0.675665 | + | 0.786876i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 3.33841 | + | 1.92743i | 0.118401 | + | 0.0683590i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 15.9862 | + | 27.6889i | 0.566260 | + | 0.980792i | 0.996931 | + | 0.0782827i | \(0.0249437\pi\) |
−0.430671 | + | 0.902509i | \(0.641723\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.92922 | − | 2.26854i | 0.139006 | − | 0.0802551i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 31.8842i | 1.12657i | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 17.8339 | − | 30.8892i | 0.629345 | − | 1.09006i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.38733 | 0.0841423 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1.42419 | 0.0501337 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 14.0866 | − | 24.3986i | 0.495257 | − | 0.857811i | −0.504728 | − | 0.863279i | \(-0.668407\pi\) |
0.999985 | + | 0.00546789i | \(0.00174049\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 39.0534i | 1.37135i | 0.727908 | + | 0.685675i | \(0.240493\pi\) | ||||
−0.727908 | + | 0.685675i | \(0.759507\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.658049 | − | 0.379925i | 0.0230788 | − | 0.0133245i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 6.43842 | + | 11.1517i | 0.225528 | + | 0.390626i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −19.3428 | − | 11.1676i | −0.676718 | − | 0.390703i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −9.98820 | − | 3.50729i | −0.349016 | − | 0.122555i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 20.4243 | + | 11.7920i | 0.712812 | + | 0.411542i | 0.812101 | − | 0.583516i | \(-0.198324\pi\) |
−0.0992893 | + | 0.995059i | \(0.531657\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −12.3566 | − | 21.4023i | −0.430725 | − | 0.746038i | 0.566211 | − | 0.824260i | \(-0.308409\pi\) |
−0.996936 | + | 0.0782228i | \(0.975075\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −3.58476 | + | 2.06966i | −0.124805 | + | 0.0720564i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 45.2456i | 1.57334i | 0.617371 | + | 0.786672i | \(0.288198\pi\) | ||||
−0.617371 | + | 0.786672i | \(0.711802\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 22.4064 | − | 38.8091i | 0.778208 | − | 1.34790i | −0.154765 | − | 0.987951i | \(-0.549462\pi\) |
0.932974 | − | 0.359945i | \(-0.117204\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −6.11287 | −0.212053 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.70976 | 0.0938875 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.29401 | + | 3.97334i | −0.0793875 | + | 0.137503i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 11.8721i | 0.410360i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 26.7511 | − | 15.4447i | 0.923550 | − | 0.533212i | 0.0387839 | − | 0.999248i | \(-0.487652\pi\) |
0.884766 | + | 0.466036i | \(0.154318\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.4142 | − | 19.7700i | −0.393593 | − | 0.681723i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −0.382316 | − | 0.220730i | −0.0131677 | − | 0.00760236i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 5.42078 | + | 13.9013i | 0.186481 | + | 0.478219i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.58352 | + | 4.37835i | 0.260573 | + | 0.150442i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 3.30187 | + | 5.71900i | 0.113320 | + | 0.196276i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −17.3721 | + | 10.0298i | −0.595508 | + | 0.343817i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 27.9201i | 0.955965i | 0.878369 | + | 0.477982i | \(0.158632\pi\) | ||||
−0.878369 | + | 0.477982i | \(0.841368\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 11.0582 | − | 19.1534i | 0.378182 | − | 0.655031i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −17.5921 | −0.600935 | −0.300468 | − | 0.953792i | \(-0.597143\pi\) | ||||
−0.300468 | + | 0.953792i | \(0.597143\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −22.1337 | −0.755193 | −0.377596 | − | 0.925970i | \(-0.623249\pi\) | ||||
−0.377596 | + | 0.925970i | \(0.623249\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.20050 | + | 2.07933i | −0.0409130 | + | 0.0708633i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 4.58867i | − | 0.156200i | −0.996946 | − | 0.0781000i | \(-0.975115\pi\) | ||
0.996946 | − | 0.0781000i | \(-0.0248854\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 12.0947 | − | 6.98289i | 0.411233 | − | 0.237426i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1.22105 | − | 2.11492i | −0.0414690 | − | 0.0718264i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 41.3434 | + | 23.8697i | 1.40248 | + | 0.809722i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.74687 | − | 0.613401i | −0.0591903 | − | 0.0207843i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 5.40815 | + | 3.12240i | 0.183038 | + | 0.105677i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 4.98278 | + | 8.63043i | 0.168449 | + | 0.291762i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −34.6248 | + | 19.9906i | −1.16920 | + | 0.675035i | −0.953490 | − | 0.301423i | \(-0.902538\pi\) |
−0.215705 | + | 0.976459i | \(0.569205\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 1.43011i | 0.0482365i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −23.9548 | + | 41.4910i | −0.807058 | + | 1.39787i | 0.107834 | + | 0.994169i | \(0.465608\pi\) |
−0.914893 | + | 0.403697i | \(0.867725\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −34.0091 | −1.14450 | −0.572248 | − | 0.820080i | \(-0.693929\pi\) | ||||
−0.572248 | + | 0.820080i | \(0.693929\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.0196664 | −0.000661077 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.88672 | − | 3.26789i | 0.0633497 | − | 0.109725i | −0.832611 | − | 0.553858i | \(-0.813155\pi\) |
0.895961 | + | 0.444133i | \(0.146488\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.86494i | 0.230243i | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 32.4445 | − | 18.7319i | 1.08693 | − | 0.627541i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 5.49435 | + | 9.51650i | 0.183862 | + | 0.318457i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 11.7997 | + | 6.81254i | 0.394419 | + | 0.227718i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.23547 | + | 1.43882i | 0.0412511 | + | 0.0480408i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −49.3098 | − | 28.4690i | −1.64457 | − | 0.949496i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 17.9949 | + | 31.1681i | 0.599497 | + | 1.03836i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.745296 | − | 0.430297i | 0.0248019 | − | 0.0143194i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | − | 5.49929i | − | 0.182802i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.13753 | + | 12.3626i | −0.236998 | + | 0.410492i | −0.959851 | − | 0.280509i | \(-0.909497\pi\) |
0.722854 | + | 0.691001i | \(0.242830\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −17.6718 | −0.586135 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −17.4161 | −0.577020 | −0.288510 | − | 0.957477i | \(-0.593160\pi\) | ||||
−0.288510 | + | 0.957477i | \(0.593160\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 34.1096 | − | 59.0796i | 1.12886 | − | 1.95525i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | − | 2.35110i | − | 0.0777248i | ||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 14.0293 | − | 8.09980i | 0.463287 | − | 0.267479i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 18.1179 | + | 31.3811i | 0.597654 | + | 1.03517i | 0.993166 | + | 0.116707i | \(0.0372338\pi\) |
−0.395512 | + | 0.918461i | \(0.629433\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −4.48437 | − | 2.58905i | −0.147765 | − | 0.0853121i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 29.5084 | − | 25.3379i | 0.971281 | − | 0.834007i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −30.7575 | − | 17.7579i | −1.01130 | − | 0.583875i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −8.45098 | − | 14.6375i | −0.277567 | − | 0.480760i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −12.4656 | + | 7.19701i | −0.408983 | + | 0.236126i | −0.690353 | − | 0.723473i | \(-0.742545\pi\) |
0.281370 | + | 0.959599i | \(0.409211\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.56298i | 0.215093i | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −0.156420 | + | 0.270927i | −0.00512096 | + | 0.00886977i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 13.8241 | 0.452097 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.25633 | −0.204385 | −0.102193 | − | 0.994765i | \(-0.532586\pi\) | ||||
−0.102193 | + | 0.994765i | \(0.532586\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.13941 | + | 1.97351i | −0.0371831 | + | 0.0644031i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 29.1506i | 0.950284i | 0.879909 | + | 0.475142i | \(0.157603\pi\) | ||||
−0.879909 | + | 0.475142i | \(0.842397\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −17.1031 | + | 9.87448i | −0.556954 | + | 0.321557i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.861446 | + | 1.49207i | 0.0280228 | + | 0.0485370i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 9.43915 | + | 5.44970i | 0.306731 | + | 0.177091i | 0.645463 | − | 0.763792i | \(-0.276665\pi\) |
−0.338732 | + | 0.940883i | \(0.609998\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.34784 | − | 28.4343i | −0.173598 | − | 0.923016i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.127160 | + | 0.0734160i | 0.00412345 | + | 0.00238068i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 13.7652 | + | 23.8421i | 0.445900 | + | 0.772321i | 0.998114 | − | 0.0613812i | \(-0.0195505\pi\) |
−0.552215 | + | 0.833702i | \(0.686217\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15.4915 | + | 8.94403i | −0.501294 | + | 0.289422i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | − | 8.09193i | − | 0.261575i | ||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.60112 | − | 4.50527i | 0.0839945 | − | 0.145483i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −31.5515 | −1.01779 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −16.2932 | −0.525042 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 10.0919 | − | 17.4797i | 0.324870 | − | 0.562692i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 21.0297i | − | 0.676271i | −0.941097 | − | 0.338135i | \(-0.890204\pi\) | ||
0.941097 | − | 0.338135i | \(-0.109796\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.89469 | + | 2.24860i | −0.125116 | + | 0.0722355i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 2.18410 | + | 3.78297i | 0.0700911 | + | 0.121401i | 0.898941 | − | 0.438070i | \(-0.144338\pi\) |
−0.828850 | + | 0.559471i | \(0.811004\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.97122 | + | 2.87013i | 0.159370 | + | 0.0920123i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.11245 | + | 3.16808i | −0.0356269 | + | 0.101460i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −46.8829 | − | 27.0679i | −1.49992 | − | 0.865978i | −0.499918 | − | 0.866073i | \(-0.666637\pi\) |
−1.00000 | 9.46999e-5i | \(0.999970\pi\) | ||||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −24.1346 | − | 41.8023i | −0.771344 | − | 1.33601i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 20.2649 | − | 11.7000i | 0.647009 | − | 0.373551i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | − | 44.3574i | − | 1.41478i | −0.706823 | − | 0.707391i | \(-0.749872\pi\) | ||
0.706823 | − | 0.707391i | \(-0.250128\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.304049 | − | 0.526628i | 0.00968780 | − | 0.0167798i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.423405 | −0.0134771 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 7.07864 | 0.225088 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.6936 | − | 23.7181i | 0.434992 | − | 0.753429i | −0.562303 | − | 0.826932i | \(-0.690084\pi\) |
0.997295 | + | 0.0735026i | \(0.0234177\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − | 7.93162i | − | 0.251702i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 24.9952 | − | 14.4310i | 0.792402 | − | 0.457494i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 22.9017 | + | 39.6669i | 0.725303 | + | 1.25626i | 0.958849 | + | 0.283916i | \(0.0916338\pi\) |
−0.233546 | + | 0.972346i | \(0.575033\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −12.5371 | − | 7.23832i | −0.396658 | − | 0.229010i |
(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 | 1456.2.cc.d.225.4 | 12 | ||
4.3 | odd | 2 | 182.2.m.b.43.2 | ✓ | 12 | ||
12.11 | even | 2 | 1638.2.bj.g.1135.5 | 12 | |||
13.10 | even | 6 | inner | 1456.2.cc.d.673.4 | 12 | ||
28.3 | even | 6 | 1274.2.v.d.667.5 | 12 | |||
28.11 | odd | 6 | 1274.2.v.e.667.5 | 12 | |||
28.19 | even | 6 | 1274.2.o.e.459.5 | 12 | |||
28.23 | odd | 6 | 1274.2.o.d.459.5 | 12 | |||
28.27 | even | 2 | 1274.2.m.c.589.2 | 12 | |||
52.7 | even | 12 | 2366.2.a.bf.1.4 | 6 | |||
52.19 | even | 12 | 2366.2.a.bh.1.4 | 6 | |||
52.23 | odd | 6 | 182.2.m.b.127.2 | yes | 12 | ||
52.35 | odd | 6 | 2366.2.d.r.337.10 | 12 | |||
52.43 | odd | 6 | 2366.2.d.r.337.4 | 12 | |||
156.23 | even | 6 | 1638.2.bj.g.127.5 | 12 | |||
364.23 | odd | 6 | 1274.2.v.e.361.5 | 12 | |||
364.75 | even | 6 | 1274.2.v.d.361.5 | 12 | |||
364.179 | odd | 6 | 1274.2.o.d.569.2 | 12 | |||
364.283 | even | 6 | 1274.2.o.e.569.2 | 12 | |||
364.335 | even | 6 | 1274.2.m.c.491.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
182.2.m.b.43.2 | ✓ | 12 | 4.3 | odd | 2 | ||
182.2.m.b.127.2 | yes | 12 | 52.23 | odd | 6 | ||
1274.2.m.c.491.2 | 12 | 364.335 | even | 6 | |||
1274.2.m.c.589.2 | 12 | 28.27 | even | 2 | |||
1274.2.o.d.459.5 | 12 | 28.23 | odd | 6 | |||
1274.2.o.d.569.2 | 12 | 364.179 | odd | 6 | |||
1274.2.o.e.459.5 | 12 | 28.19 | even | 6 | |||
1274.2.o.e.569.2 | 12 | 364.283 | even | 6 | |||
1274.2.v.d.361.5 | 12 | 364.75 | even | 6 | |||
1274.2.v.d.667.5 | 12 | 28.3 | even | 6 | |||
1274.2.v.e.361.5 | 12 | 364.23 | odd | 6 | |||
1274.2.v.e.667.5 | 12 | 28.11 | odd | 6 | |||
1456.2.cc.d.225.4 | 12 | 1.1 | even | 1 | trivial | ||
1456.2.cc.d.673.4 | 12 | 13.10 | even | 6 | inner | ||
1638.2.bj.g.127.5 | 12 | 156.23 | even | 6 | |||
1638.2.bj.g.1135.5 | 12 | 12.11 | even | 2 | |||
2366.2.a.bf.1.4 | 6 | 52.7 | even | 12 | |||
2366.2.a.bh.1.4 | 6 | 52.19 | even | 12 | |||
2366.2.d.r.337.4 | 12 | 52.43 | odd | 6 | |||
2366.2.d.r.337.10 | 12 | 52.35 | odd | 6 |