Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(16,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.l (of order \(3\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 256.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 273.256 |
Dual form | 273.2.l.a.16.1 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | −2.00000 | −1.00000 | ||||||||
\(5\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.00000 | + | 1.73205i | −0.755929 | + | 0.654654i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.00000 | + | 5.19615i | 0.904534 | + | 1.56670i | 0.821541 | + | 0.570149i | \(0.193114\pi\) |
0.0829925 | + | 0.996550i | \(0.473552\pi\) | |||||||
\(12\) | 1.00000 | + | 1.73205i | 0.288675 | + | 0.500000i | ||||
\(13\) | 1.00000 | + | 3.46410i | 0.277350 | + | 0.960769i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.00000 | 1.00000 | ||||||||
\(17\) | −6.00000 | −1.45521 | −0.727607 | − | 0.685994i | \(-0.759367\pi\) | ||||
−0.727607 | + | 0.685994i | \(0.759367\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.500000 | − | 0.866025i | 0.114708 | − | 0.198680i | −0.802955 | − | 0.596040i | \(-0.796740\pi\) |
0.917663 | + | 0.397360i | \(0.130073\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.50000 | + | 0.866025i | 0.545545 | + | 0.188982i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −6.00000 | −1.25109 | −0.625543 | − | 0.780189i | \(-0.715123\pi\) | ||||
−0.625543 | + | 0.780189i | \(0.715123\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.50000 | − | 4.33013i | 0.500000 | − | 0.866025i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 4.00000 | − | 3.46410i | 0.755929 | − | 0.654654i | ||||
\(29\) | −3.00000 | + | 5.19615i | −0.557086 | + | 0.964901i | 0.440652 | + | 0.897678i | \(0.354747\pi\) |
−0.997738 | + | 0.0672232i | \(0.978586\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.50000 | + | 4.33013i | −0.449013 | + | 0.777714i | −0.998322 | − | 0.0579057i | \(-0.981558\pi\) |
0.549309 | + | 0.835619i | \(0.314891\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.00000 | − | 5.19615i | 0.522233 | − | 0.904534i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.00000 | − | 1.73205i | 0.166667 | − | 0.288675i | ||||
\(37\) | −1.00000 | −0.164399 | −0.0821995 | − | 0.996616i | \(-0.526194\pi\) | ||||
−0.0821995 | + | 0.996616i | \(0.526194\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.50000 | − | 2.59808i | 0.400320 | − | 0.416025i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.00000 | + | 3.46410i | 0.304997 | + | 0.528271i | 0.977261 | − | 0.212041i | \(-0.0680112\pi\) |
−0.672264 | + | 0.740312i | \(0.734678\pi\) | |||||||
\(44\) | −6.00000 | − | 10.3923i | −0.904534 | − | 1.56670i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3.00000 | − | 5.19615i | −0.437595 | − | 0.757937i | 0.559908 | − | 0.828554i | \(-0.310836\pi\) |
−0.997503 | + | 0.0706177i | \(0.977503\pi\) | |||||||
\(48\) | −2.00000 | − | 3.46410i | −0.288675 | − | 0.500000i | ||||
\(49\) | 1.00000 | − | 6.92820i | 0.142857 | − | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.00000 | + | 5.19615i | 0.420084 | + | 0.727607i | ||||
\(52\) | −2.00000 | − | 6.92820i | −0.277350 | − | 0.960769i | ||||
\(53\) | −3.00000 | + | 5.19615i | −0.412082 | + | 0.713746i | −0.995117 | − | 0.0987002i | \(-0.968532\pi\) |
0.583036 | + | 0.812447i | \(0.301865\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.00000 | −0.132453 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.50000 | − | 11.2583i | 0.832240 | − | 1.44148i | −0.0640184 | − | 0.997949i | \(-0.520392\pi\) |
0.896258 | − | 0.443533i | \(-0.146275\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.500000 | − | 2.59808i | −0.0629941 | − | 0.327327i | ||||
\(64\) | −8.00000 | −1.00000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.50000 | + | 11.2583i | 0.794101 | + | 1.37542i | 0.923408 | + | 0.383819i | \(0.125391\pi\) |
−0.129307 | + | 0.991605i | \(0.541275\pi\) | |||||||
\(68\) | 12.0000 | 1.45521 | ||||||||
\(69\) | 3.00000 | + | 5.19615i | 0.361158 | + | 0.625543i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.00000 | + | 10.3923i | 0.712069 | + | 1.23334i | 0.964079 | + | 0.265615i | \(0.0855750\pi\) |
−0.252010 | + | 0.967725i | \(0.581092\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.00000 | − | 8.66025i | 0.585206 | − | 1.01361i | −0.409644 | − | 0.912245i | \(-0.634347\pi\) |
0.994850 | − | 0.101361i | \(-0.0323196\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −5.00000 | −0.577350 | ||||||||
\(76\) | −1.00000 | + | 1.73205i | −0.114708 | + | 0.198680i | ||||
\(77\) | −15.0000 | − | 5.19615i | −1.70941 | − | 0.592157i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.500000 | + | 0.866025i | 0.0562544 | + | 0.0974355i | 0.892781 | − | 0.450490i | \(-0.148751\pi\) |
−0.836527 | + | 0.547926i | \(0.815418\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −6.00000 | −0.658586 | −0.329293 | − | 0.944228i | \(-0.606810\pi\) | ||||
−0.329293 | + | 0.944228i | \(0.606810\pi\) | |||||||
\(84\) | −5.00000 | − | 1.73205i | −0.545545 | − | 0.188982i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 6.00000 | 0.643268 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.00000 | 0.635999 | 0.317999 | − | 0.948091i | \(-0.396989\pi\) | ||||
0.317999 | + | 0.948091i | \(0.396989\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8.00000 | − | 5.19615i | −0.838628 | − | 0.544705i | ||||
\(92\) | 12.0000 | 1.25109 | ||||||||
\(93\) | 5.00000 | 0.518476 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.50000 | − | 4.33013i | −0.253837 | − | 0.439658i | 0.710742 | − | 0.703452i | \(-0.248359\pi\) |
−0.964579 | + | 0.263795i | \(0.915026\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −6.00000 | −0.603023 | ||||||||
\(100\) | −5.00000 | + | 8.66025i | −0.500000 | + | 0.866025i | ||||
\(101\) | −6.00000 | − | 10.3923i | −0.597022 | − | 1.03407i | −0.993258 | − | 0.115924i | \(-0.963017\pi\) |
0.396236 | − | 0.918149i | \(-0.370316\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.00000 | + | 13.8564i | 0.788263 | + | 1.36531i | 0.927030 | + | 0.374987i | \(0.122353\pi\) |
−0.138767 | + | 0.990325i | \(0.544314\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 6.00000 | 0.580042 | 0.290021 | − | 0.957020i | \(-0.406338\pi\) | ||||
0.290021 | + | 0.957020i | \(0.406338\pi\) | |||||||
\(108\) | −2.00000 | −0.192450 | ||||||||
\(109\) | 5.00000 | − | 8.66025i | 0.478913 | − | 0.829502i | −0.520794 | − | 0.853682i | \(-0.674364\pi\) |
0.999708 | + | 0.0241802i | \(0.00769755\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.500000 | + | 0.866025i | 0.0474579 | + | 0.0821995i | ||||
\(112\) | −8.00000 | + | 6.92820i | −0.755929 | + | 0.654654i | ||||
\(113\) | 3.00000 | + | 5.19615i | 0.282216 | + | 0.488813i | 0.971930 | − | 0.235269i | \(-0.0755971\pi\) |
−0.689714 | + | 0.724082i | \(0.742264\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 6.00000 | − | 10.3923i | 0.557086 | − | 0.964901i | ||||
\(117\) | −3.50000 | − | 0.866025i | −0.323575 | − | 0.0800641i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 12.0000 | − | 10.3923i | 1.10004 | − | 0.952661i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −12.5000 | + | 21.6506i | −1.13636 | + | 1.96824i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 5.00000 | − | 8.66025i | 0.449013 | − | 0.777714i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.00000 | + | 6.92820i | −0.354943 | + | 0.614779i | −0.987108 | − | 0.160055i | \(-0.948833\pi\) |
0.632166 | + | 0.774833i | \(0.282166\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.00000 | − | 3.46410i | 0.176090 | − | 0.304997i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.00000 | + | 15.5885i | 0.786334 | + | 1.36197i | 0.928199 | + | 0.372084i | \(0.121357\pi\) |
−0.141865 | + | 0.989886i | \(0.545310\pi\) | |||||||
\(132\) | −6.00000 | + | 10.3923i | −0.522233 | + | 0.904534i | ||||
\(133\) | 0.500000 | + | 2.59808i | 0.0433555 | + | 0.225282i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −12.0000 | −1.02523 | −0.512615 | − | 0.858619i | \(-0.671323\pi\) | ||||
−0.512615 | + | 0.858619i | \(0.671323\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.50000 | − | 4.33013i | −0.212047 | − | 0.367277i | 0.740308 | − | 0.672268i | \(-0.234680\pi\) |
−0.952355 | + | 0.304991i | \(0.901346\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.00000 | + | 5.19615i | −0.252646 | + | 0.437595i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −15.0000 | + | 15.5885i | −1.25436 | + | 1.30357i | ||||
\(144\) | −2.00000 | + | 3.46410i | −0.166667 | + | 0.288675i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.50000 | + | 2.59808i | −0.536111 | + | 0.214286i | ||||
\(148\) | 2.00000 | 0.164399 | ||||||||
\(149\) | −3.00000 | + | 5.19615i | −0.245770 | + | 0.425685i | −0.962348 | − | 0.271821i | \(-0.912374\pi\) |
0.716578 | + | 0.697507i | \(0.245707\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.00000 | + | 6.92820i | −0.325515 | + | 0.563809i | −0.981617 | − | 0.190864i | \(-0.938871\pi\) |
0.656101 | + | 0.754673i | \(0.272204\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.00000 | − | 5.19615i | 0.242536 | − | 0.420084i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −5.00000 | + | 5.19615i | −0.400320 | + | 0.416025i | ||||
\(157\) | −5.50000 | + | 9.52628i | −0.438948 | + | 0.760280i | −0.997609 | − | 0.0691164i | \(-0.977982\pi\) |
0.558661 | + | 0.829396i | \(0.311315\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 6.00000 | 0.475831 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 12.0000 | − | 10.3923i | 0.945732 | − | 0.819028i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.50000 | − | 16.4545i | 0.744097 | − | 1.28881i | −0.206518 | − | 0.978443i | \(-0.566213\pi\) |
0.950615 | − | 0.310372i | \(-0.100454\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 9.00000 | − | 15.5885i | 0.696441 | − | 1.20627i | −0.273252 | − | 0.961943i | \(-0.588099\pi\) |
0.969693 | − | 0.244328i | \(-0.0785675\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.0000 | + | 6.92820i | −0.846154 | + | 0.532939i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.500000 | + | 0.866025i | 0.0382360 | + | 0.0662266i | ||||
\(172\) | −4.00000 | − | 6.92820i | −0.304997 | − | 0.528271i | ||||
\(173\) | −6.00000 | + | 10.3923i | −0.456172 | + | 0.790112i | −0.998755 | − | 0.0498898i | \(-0.984113\pi\) |
0.542583 | + | 0.840002i | \(0.317446\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.50000 | + | 12.9904i | 0.188982 | + | 0.981981i | ||||
\(176\) | 12.0000 | + | 20.7846i | 0.904534 | + | 1.56670i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 9.00000 | + | 15.5885i | 0.672692 | + | 1.16514i | 0.977138 | + | 0.212607i | \(0.0681952\pi\) |
−0.304446 | + | 0.952529i | \(0.598471\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 17.0000 | 1.26360 | 0.631800 | − | 0.775131i | \(-0.282316\pi\) | ||||
0.631800 | + | 0.775131i | \(0.282316\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −13.0000 | −0.960988 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −18.0000 | − | 31.1769i | −1.31629 | − | 2.27988i | ||||
\(188\) | 6.00000 | + | 10.3923i | 0.437595 | + | 0.757937i | ||||
\(189\) | −2.00000 | + | 1.73205i | −0.145479 | + | 0.125988i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.00000 | − | 5.19615i | 0.217072 | − | 0.375980i | −0.736839 | − | 0.676068i | \(-0.763683\pi\) |
0.953912 | + | 0.300088i | \(0.0970159\pi\) | |||||||
\(192\) | 4.00000 | + | 6.92820i | 0.288675 | + | 0.500000i | ||||
\(193\) | −1.00000 | − | 1.73205i | −0.0719816 | − | 0.124676i | 0.827788 | − | 0.561041i | \(-0.189599\pi\) |
−0.899770 | + | 0.436365i | \(0.856266\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.00000 | + | 13.8564i | −0.142857 | + | 0.989743i | ||||
\(197\) | 12.0000 | − | 20.7846i | 0.854965 | − | 1.48084i | −0.0217133 | − | 0.999764i | \(-0.506912\pi\) |
0.876678 | − | 0.481078i | \(-0.159755\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.00000 | −0.0708881 | −0.0354441 | − | 0.999372i | \(-0.511285\pi\) | ||||
−0.0354441 | + | 0.999372i | \(0.511285\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 6.50000 | − | 11.2583i | 0.458475 | − | 0.794101i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −3.00000 | − | 15.5885i | −0.210559 | − | 1.09410i | ||||
\(204\) | −6.00000 | − | 10.3923i | −0.420084 | − | 0.727607i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.00000 | − | 5.19615i | 0.208514 | − | 0.361158i | ||||
\(208\) | 4.00000 | + | 13.8564i | 0.277350 | + | 0.960769i | ||||
\(209\) | 6.00000 | 0.415029 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.50000 | − | 6.06218i | 0.240950 | − | 0.417338i | −0.720035 | − | 0.693938i | \(-0.755874\pi\) |
0.960985 | + | 0.276600i | \(0.0892077\pi\) | |||||||
\(212\) | 6.00000 | − | 10.3923i | 0.412082 | − | 0.713746i | ||||
\(213\) | 6.00000 | − | 10.3923i | 0.411113 | − | 0.712069i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.50000 | − | 12.9904i | −0.169711 | − | 0.881845i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −10.0000 | −0.675737 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.00000 | − | 20.7846i | −0.403604 | − | 1.39812i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.00000 | + | 6.92820i | −0.267860 | + | 0.463947i | −0.968309 | − | 0.249756i | \(-0.919650\pi\) |
0.700449 | + | 0.713702i | \(0.252983\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.50000 | + | 4.33013i | 0.166667 | + | 0.288675i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −12.0000 | −0.796468 | −0.398234 | − | 0.917284i | \(-0.630377\pi\) | ||||
−0.398234 | + | 0.917284i | \(0.630377\pi\) | |||||||
\(228\) | 2.00000 | 0.132453 | ||||||||
\(229\) | 3.50000 | + | 6.06218i | 0.231287 | + | 0.400600i | 0.958187 | − | 0.286143i | \(-0.0923732\pi\) |
−0.726900 | + | 0.686743i | \(0.759040\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.00000 | + | 15.5885i | 0.197386 | + | 1.02565i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −6.00000 | − | 10.3923i | −0.393073 | − | 0.680823i | 0.599780 | − | 0.800165i | \(-0.295255\pi\) |
−0.992853 | + | 0.119342i | \(0.961921\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.500000 | − | 0.866025i | 0.0324785 | − | 0.0562544i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −12.0000 | −0.776215 | −0.388108 | − | 0.921614i | \(-0.626871\pi\) | ||||
−0.388108 | + | 0.921614i | \(0.626871\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 26.0000 | 1.67481 | 0.837404 | − | 0.546585i | \(-0.184072\pi\) | ||||
0.837404 | + | 0.546585i | \(0.184072\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −13.0000 | + | 22.5167i | −0.832240 | + | 1.44148i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.50000 | + | 0.866025i | 0.222700 | + | 0.0551039i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.00000 | + | 5.19615i | 0.190117 | + | 0.329293i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.00000 | − | 5.19615i | −0.189358 | − | 0.327978i | 0.755678 | − | 0.654943i | \(-0.227307\pi\) |
−0.945036 | + | 0.326965i | \(0.893974\pi\) | |||||||
\(252\) | 1.00000 | + | 5.19615i | 0.0629941 | + | 0.327327i | ||||
\(253\) | −18.0000 | − | 31.1769i | −1.13165 | − | 1.96008i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 16.0000 | 1.00000 | ||||||||
\(257\) | −6.00000 | −0.374270 | −0.187135 | − | 0.982334i | \(-0.559920\pi\) | ||||
−0.187135 | + | 0.982334i | \(0.559920\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.00000 | − | 1.73205i | 0.124274 | − | 0.107624i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.00000 | − | 5.19615i | −0.185695 | − | 0.321634i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 12.0000 | + | 20.7846i | 0.739952 | + | 1.28163i | 0.952517 | + | 0.304487i | \(0.0984850\pi\) |
−0.212565 | + | 0.977147i | \(0.568182\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.00000 | − | 5.19615i | −0.183597 | − | 0.317999i | ||||
\(268\) | −13.0000 | − | 22.5167i | −0.794101 | − | 1.37542i | ||||
\(269\) | −6.00000 | −0.365826 | −0.182913 | − | 0.983129i | \(-0.558553\pi\) | ||||
−0.182913 | + | 0.983129i | \(0.558553\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.00000 | −0.0607457 | −0.0303728 | − | 0.999539i | \(-0.509669\pi\) | ||||
−0.0303728 | + | 0.999539i | \(0.509669\pi\) | |||||||
\(272\) | −24.0000 | −1.45521 | ||||||||
\(273\) | −0.500000 | + | 9.52628i | −0.0302614 | + | 0.576557i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 30.0000 | 1.80907 | ||||||||
\(276\) | −6.00000 | − | 10.3923i | −0.361158 | − | 0.625543i | ||||
\(277\) | 5.00000 | 0.300421 | 0.150210 | − | 0.988654i | \(-0.452005\pi\) | ||||
0.150210 | + | 0.988654i | \(0.452005\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.50000 | − | 4.33013i | −0.149671 | − | 0.259238i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 30.0000 | 1.78965 | 0.894825 | − | 0.446417i | \(-0.147300\pi\) | ||||
0.894825 | + | 0.446417i | \(0.147300\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.0000 | − | 17.3205i | −0.594438 | − | 1.02960i | −0.993626 | − | 0.112728i | \(-0.964041\pi\) |
0.399188 | − | 0.916869i | \(-0.369292\pi\) | |||||||
\(284\) | −12.0000 | − | 20.7846i | −0.712069 | − | 1.23334i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 19.0000 | 1.11765 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.50000 | + | 4.33013i | −0.146553 | + | 0.253837i | ||||
\(292\) | −10.0000 | + | 17.3205i | −0.585206 | + | 1.01361i | ||||
\(293\) | −6.00000 | − | 10.3923i | −0.350524 | − | 0.607125i | 0.635818 | − | 0.771839i | \(-0.280663\pi\) |
−0.986341 | + | 0.164714i | \(0.947330\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.00000 | + | 5.19615i | 0.174078 | + | 0.301511i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −6.00000 | − | 20.7846i | −0.346989 | − | 1.20201i | ||||
\(300\) | 10.0000 | 0.577350 | ||||||||
\(301\) | −10.0000 | − | 3.46410i | −0.576390 | − | 0.199667i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −6.00000 | + | 10.3923i | −0.344691 | + | 0.597022i | ||||
\(304\) | 2.00000 | − | 3.46410i | 0.114708 | − | 0.198680i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.0000 | 0.627803 | 0.313902 | − | 0.949456i | \(-0.398364\pi\) | ||||
0.313902 | + | 0.949456i | \(0.398364\pi\) | |||||||
\(308\) | 30.0000 | + | 10.3923i | 1.70941 | + | 0.592157i | ||||
\(309\) | 8.00000 | − | 13.8564i | 0.455104 | − | 0.788263i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −15.0000 | + | 25.9808i | −0.850572 | + | 1.47323i | 0.0301210 | + | 0.999546i | \(0.490411\pi\) |
−0.880693 | + | 0.473688i | \(0.842923\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.00000 | − | 12.1244i | −0.395663 | − | 0.685309i | 0.597522 | − | 0.801852i | \(-0.296152\pi\) |
−0.993186 | + | 0.116543i | \(0.962819\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.00000 | − | 1.73205i | −0.0562544 | − | 0.0974355i | ||||
\(317\) | −3.00000 | − | 5.19615i | −0.168497 | − | 0.291845i | 0.769395 | − | 0.638774i | \(-0.220558\pi\) |
−0.937892 | + | 0.346929i | \(0.887225\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −36.0000 | −2.01561 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.00000 | − | 5.19615i | −0.167444 | − | 0.290021i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.00000 | + | 5.19615i | −0.166924 | + | 0.289122i | ||||
\(324\) | 1.00000 | + | 1.73205i | 0.0555556 | + | 0.0962250i | ||||
\(325\) | 17.5000 | + | 4.33013i | 0.970725 | + | 0.240192i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −10.0000 | −0.553001 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 15.0000 | + | 5.19615i | 0.826977 | + | 0.286473i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.00000 | − | 3.46410i | 0.109930 | − | 0.190404i | −0.805812 | − | 0.592172i | \(-0.798271\pi\) |
0.915742 | + | 0.401768i | \(0.131604\pi\) | |||||||
\(332\) | 12.0000 | 0.658586 | ||||||||
\(333\) | 0.500000 | − | 0.866025i | 0.0273998 | − | 0.0474579i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 10.0000 | + | 3.46410i | 0.545545 | + | 0.188982i | ||||
\(337\) | 2.00000 | 0.108947 | 0.0544735 | − | 0.998515i | \(-0.482652\pi\) | ||||
0.0544735 | + | 0.998515i | \(0.482652\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.00000 | − | 5.19615i | 0.162938 | − | 0.282216i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −30.0000 | −1.62459 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | + | 15.5885i | 0.539949 | + | 0.841698i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 18.0000 | 0.966291 | 0.483145 | − | 0.875540i | \(-0.339494\pi\) | ||||
0.483145 | + | 0.875540i | \(0.339494\pi\) | |||||||
\(348\) | −12.0000 | −0.643268 | ||||||||
\(349\) | 6.50000 | − | 11.2583i | 0.347937 | − | 0.602645i | −0.637946 | − | 0.770081i | \(-0.720216\pi\) |
0.985883 | + | 0.167437i | \(0.0535490\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.00000 | + | 3.46410i | 0.0533761 | + | 0.184900i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 12.0000 | + | 20.7846i | 0.638696 | + | 1.10625i | 0.985719 | + | 0.168397i | \(0.0538590\pi\) |
−0.347024 | + | 0.937856i | \(0.612808\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −12.0000 | −0.635999 | ||||||||
\(357\) | −15.0000 | − | 5.19615i | −0.793884 | − | 0.275010i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 3.00000 | + | 5.19615i | 0.158334 | + | 0.274242i | 0.934268 | − | 0.356572i | \(-0.116054\pi\) |
−0.775934 | + | 0.630814i | \(0.782721\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.00000 | + | 15.5885i | 0.473684 | + | 0.820445i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 25.0000 | 1.31216 | ||||||||
\(364\) | 16.0000 | + | 10.3923i | 0.838628 | + | 0.544705i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.00000 | + | 3.46410i | 0.104399 | + | 0.180825i | 0.913493 | − | 0.406855i | \(-0.133375\pi\) |
−0.809093 | + | 0.587680i | \(0.800041\pi\) | |||||||
\(368\) | −24.0000 | −1.25109 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3.00000 | − | 15.5885i | −0.155752 | − | 0.809312i | ||||
\(372\) | −10.0000 | −0.518476 | ||||||||
\(373\) | −11.5000 | + | 19.9186i | −0.595447 | + | 1.03135i | 0.398036 | + | 0.917370i | \(0.369692\pi\) |
−0.993484 | + | 0.113975i | \(0.963641\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −21.0000 | − | 5.19615i | −1.08156 | − | 0.267615i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.50000 | + | 9.52628i | −0.282516 | + | 0.489332i | −0.972004 | − | 0.234965i | \(-0.924502\pi\) |
0.689488 | + | 0.724297i | \(0.257836\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.00000 | 0.409852 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −12.0000 | + | 20.7846i | −0.613171 | + | 1.06204i | 0.377531 | + | 0.925997i | \(0.376773\pi\) |
−0.990702 | + | 0.136047i | \(0.956560\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −4.00000 | −0.203331 | ||||||||
\(388\) | 5.00000 | + | 8.66025i | 0.253837 | + | 0.439658i | ||||
\(389\) | −9.00000 | + | 15.5885i | −0.456318 | + | 0.790366i | −0.998763 | − | 0.0497253i | \(-0.984165\pi\) |
0.542445 | + | 0.840091i | \(0.317499\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 36.0000 | 1.82060 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 9.00000 | − | 15.5885i | 0.453990 | − | 0.786334i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 12.0000 | 0.603023 | ||||||||
\(397\) | −13.0000 | + | 22.5167i | −0.652451 | + | 1.13008i | 0.330075 | + | 0.943955i | \(0.392926\pi\) |
−0.982526 | + | 0.186124i | \(0.940407\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.00000 | − | 1.73205i | 0.100125 | − | 0.0867110i | ||||
\(400\) | 10.0000 | − | 17.3205i | 0.500000 | − | 0.866025i | ||||
\(401\) | −6.00000 | −0.299626 | −0.149813 | − | 0.988714i | \(-0.547867\pi\) | ||||
−0.149813 | + | 0.988714i | \(0.547867\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −17.5000 | − | 4.33013i | −0.871737 | − | 0.215699i | ||||
\(404\) | 12.0000 | + | 20.7846i | 0.597022 | + | 1.03407i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.00000 | − | 5.19615i | −0.148704 | − | 0.257564i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.00000 | 0.0988936 | 0.0494468 | − | 0.998777i | \(-0.484254\pi\) | ||||
0.0494468 | + | 0.998777i | \(0.484254\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.00000 | + | 10.3923i | 0.295958 | + | 0.512615i | ||||
\(412\) | −16.0000 | − | 27.7128i | −0.788263 | − | 1.36531i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2.50000 | + | 4.33013i | −0.122426 | + | 0.212047i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −18.0000 | + | 31.1769i | −0.879358 | + | 1.52309i | −0.0273103 | + | 0.999627i | \(0.508694\pi\) |
−0.852047 | + | 0.523465i | \(0.824639\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 17.0000 | 0.828529 | 0.414265 | − | 0.910156i | \(-0.364039\pi\) | ||||
0.414265 | + | 0.910156i | \(0.364039\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 6.00000 | 0.291730 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −15.0000 | + | 25.9808i | −0.727607 | + | 1.26025i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.50000 | + | 33.7750i | 0.314557 | + | 1.63449i | ||||
\(428\) | −12.0000 | −0.580042 | ||||||||
\(429\) | 21.0000 | + | 5.19615i | 1.01389 | + | 0.250873i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −18.0000 | − | 31.1769i | −0.867029 | − | 1.50174i | −0.865018 | − | 0.501741i | \(-0.832693\pi\) |
−0.00201168 | − | 0.999998i | \(-0.500640\pi\) | |||||||
\(432\) | 4.00000 | 0.192450 | ||||||||
\(433\) | −5.50000 | − | 9.52628i | −0.264313 | − | 0.457804i | 0.703070 | − | 0.711120i | \(-0.251812\pi\) |
−0.967383 | + | 0.253317i | \(0.918479\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.0000 | + | 17.3205i | −0.478913 | + | 0.829502i | ||||
\(437\) | −3.00000 | + | 5.19615i | −0.143509 | + | 0.248566i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.00000 | 0.238637 | 0.119318 | − | 0.992856i | \(-0.461929\pi\) | ||||
0.119318 | + | 0.992856i | \(0.461929\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.50000 | + | 4.33013i | 0.261905 | + | 0.206197i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −12.0000 | − | 20.7846i | −0.570137 | − | 0.987507i | −0.996551 | − | 0.0829786i | \(-0.973557\pi\) |
0.426414 | − | 0.904528i | \(-0.359777\pi\) | |||||||
\(444\) | −1.00000 | − | 1.73205i | −0.0474579 | − | 0.0821995i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 6.00000 | 0.283790 | ||||||||
\(448\) | 16.0000 | − | 13.8564i | 0.755929 | − | 0.654654i | ||||
\(449\) | 6.00000 | + | 10.3923i | 0.283158 | + | 0.490443i | 0.972161 | − | 0.234315i | \(-0.0752847\pi\) |
−0.689003 | + | 0.724758i | \(0.741951\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −6.00000 | − | 10.3923i | −0.282216 | − | 0.488813i | ||||
\(453\) | 8.00000 | 0.375873 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.0000 | 0.795226 | 0.397613 | − | 0.917553i | \(-0.369839\pi\) | ||||
0.397613 | + | 0.917553i | \(0.369839\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −6.00000 | −0.280056 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 18.0000 | + | 31.1769i | 0.838344 | + | 1.45205i | 0.891279 | + | 0.453456i | \(0.149809\pi\) |
−0.0529352 | + | 0.998598i | \(0.516858\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −16.0000 | −0.743583 | −0.371792 | − | 0.928316i | \(-0.621256\pi\) | ||||
−0.371792 | + | 0.928316i | \(0.621256\pi\) | |||||||
\(464\) | −12.0000 | + | 20.7846i | −0.557086 | + | 0.964901i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −6.00000 | − | 10.3923i | −0.277647 | − | 0.480899i | 0.693153 | − | 0.720791i | \(-0.256221\pi\) |
−0.970799 | + | 0.239892i | \(0.922888\pi\) | |||||||
\(468\) | 7.00000 | + | 1.73205i | 0.323575 | + | 0.0800641i | ||||
\(469\) | −32.5000 | − | 11.2583i | −1.50071 | − | 0.519861i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 11.0000 | 0.506853 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −12.0000 | + | 20.7846i | −0.551761 | + | 0.955677i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.50000 | − | 4.33013i | −0.114708 | − | 0.198680i | ||||
\(476\) | −24.0000 | + | 20.7846i | −1.10004 | + | 0.952661i | ||||
\(477\) | −3.00000 | − | 5.19615i | −0.137361 | − | 0.237915i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3.00000 | + | 5.19615i | 0.137073 | + | 0.237418i | 0.926388 | − | 0.376571i | \(-0.122897\pi\) |
−0.789314 | + | 0.613990i | \(0.789564\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.00000 | − | 3.46410i | −0.0455961 | − | 0.157949i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −15.0000 | − | 5.19615i | −0.682524 | − | 0.236433i | ||||
\(484\) | 25.0000 | − | 43.3013i | 1.13636 | − | 1.96824i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 17.0000 | 0.770344 | 0.385172 | − | 0.922845i | \(-0.374142\pi\) | ||||
0.385172 | + | 0.922845i | \(0.374142\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −19.0000 | −0.859210 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.00000 | − | 15.5885i | 0.406164 | − | 0.703497i | −0.588292 | − | 0.808649i | \(-0.700199\pi\) |
0.994456 | + | 0.105151i | \(0.0335327\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 18.0000 | − | 31.1769i | 0.810679 | − | 1.40414i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.0000 | + | 17.3205i | −0.449013 | + | 0.777714i | ||||
\(497\) | −30.0000 | − | 10.3923i | −1.34568 | − | 0.466159i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.5000 | + | 21.6506i | 0.559577 | + | 0.969216i | 0.997532 | + | 0.0702185i | \(0.0223697\pi\) |
−0.437955 | + | 0.898997i | \(0.644297\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −18.0000 | −0.804181 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −3.00000 | − | 5.19615i | −0.133763 | − | 0.231685i | 0.791361 | − | 0.611349i | \(-0.209373\pi\) |
−0.925124 | + | 0.379664i | \(0.876040\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 11.5000 | + | 6.06218i | 0.510733 | + | 0.269231i | ||||
\(508\) | 8.00000 | − | 13.8564i | 0.354943 | − | 0.614779i | ||||
\(509\) | −24.0000 | −1.06378 | −0.531891 | − | 0.846813i | \(-0.678518\pi\) | ||||
−0.531891 | + | 0.846813i | \(0.678518\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.00000 | + | 25.9808i | 0.221187 | + | 1.14932i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.500000 | − | 0.866025i | 0.0220755 | − | 0.0382360i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −4.00000 | + | 6.92820i | −0.176090 | + | 0.304997i | ||||
\(517\) | 18.0000 | − | 31.1769i | 0.791639 | − | 1.37116i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 12.0000 | 0.526742 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 15.0000 | − | 25.9808i | 0.657162 | − | 1.13824i | −0.324185 | − | 0.945994i | \(-0.605090\pi\) |
0.981347 | − | 0.192244i | \(-0.0615766\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −19.0000 | −0.830812 | −0.415406 | − | 0.909636i | \(-0.636360\pi\) | ||||
−0.415406 | + | 0.909636i | \(0.636360\pi\) | |||||||
\(524\) | −18.0000 | − | 31.1769i | −0.786334 | − | 1.36197i | ||||
\(525\) | 10.0000 | − | 8.66025i | 0.436436 | − | 0.377964i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 15.0000 | − | 25.9808i | 0.653410 | − | 1.13174i | ||||
\(528\) | 12.0000 | − | 20.7846i | 0.522233 | − | 0.904534i | ||||
\(529\) | 13.0000 | 0.565217 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.00000 | − | 5.19615i | −0.0433555 | − | 0.225282i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 9.00000 | − | 15.5885i | 0.388379 | − | 0.672692i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 39.0000 | − | 15.5885i | 1.67985 | − | 0.671442i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.00000 | + | 8.66025i | 0.214967 | + | 0.372333i | 0.953262 | − | 0.302144i | \(-0.0977023\pi\) |
−0.738296 | + | 0.674477i | \(0.764369\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −8.50000 | − | 14.7224i | −0.364770 | − | 0.631800i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.0000 | −0.555840 | −0.277920 | − | 0.960604i | \(-0.589645\pi\) | ||||
−0.277920 | + | 0.960604i | \(0.589645\pi\) | |||||||
\(548\) | 24.0000 | 1.02523 | ||||||||
\(549\) | 6.50000 | + | 11.2583i | 0.277413 | + | 0.480494i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.00000 | + | 5.19615i | 0.127804 | + | 0.221364i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.50000 | − | 0.866025i | −0.106311 | − | 0.0368271i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.00000 | + | 8.66025i | 0.212047 | + | 0.367277i | ||||
\(557\) | 18.0000 | + | 31.1769i | 0.762684 | + | 1.32101i | 0.941462 | + | 0.337119i | \(0.109452\pi\) |
−0.178778 | + | 0.983890i | \(0.557214\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.0000 | + | 10.3923i | −0.422955 | + | 0.439548i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −18.0000 | + | 31.1769i | −0.759961 | + | 1.31629i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 18.0000 | 0.758610 | 0.379305 | − | 0.925272i | \(-0.376163\pi\) | ||||
0.379305 | + | 0.925272i | \(0.376163\pi\) | |||||||
\(564\) | 6.00000 | − | 10.3923i | 0.252646 | − | 0.437595i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.50000 | + | 0.866025i | 0.104990 | + | 0.0363696i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.50000 | + | 9.52628i | −0.230168 | + | 0.398662i | −0.957857 | − | 0.287244i | \(-0.907261\pi\) |
0.727690 | + | 0.685907i | \(0.240594\pi\) | |||||||
\(572\) | 30.0000 | − | 31.1769i | 1.25436 | − | 1.30357i | ||||
\(573\) | −6.00000 | −0.250654 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −15.0000 | + | 25.9808i | −0.625543 | + | 1.08347i | ||||
\(576\) | 4.00000 | − | 6.92820i | 0.166667 | − | 0.288675i | ||||
\(577\) | −17.5000 | + | 30.3109i | −0.728535 | + | 1.26186i | 0.228968 | + | 0.973434i | \(0.426465\pi\) |
−0.957503 | + | 0.288425i | \(0.906868\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.00000 | + | 1.73205i | −0.0415586 | + | 0.0719816i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 12.0000 | − | 10.3923i | 0.497844 | − | 0.431145i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −36.0000 | −1.49097 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 6.00000 | − | 10.3923i | 0.247647 | − | 0.428936i | −0.715226 | − | 0.698893i | \(-0.753676\pi\) |
0.962872 | + | 0.269957i | \(0.0870095\pi\) | |||||||
\(588\) | 13.0000 | − | 5.19615i | 0.536111 | − | 0.214286i | ||||
\(589\) | 2.50000 | + | 4.33013i | 0.103011 | + | 0.178420i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −24.0000 | −0.987228 | ||||||||
\(592\) | −4.00000 | −0.164399 | ||||||||
\(593\) | 3.00000 | + | 5.19615i | 0.123195 | + | 0.213380i | 0.921026 | − | 0.389501i | \(-0.127353\pi\) |
−0.797831 | + | 0.602881i | \(0.794019\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 6.00000 | − | 10.3923i | 0.245770 | − | 0.425685i | ||||
\(597\) | 0.500000 | + | 0.866025i | 0.0204636 | + | 0.0354441i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 12.0000 | − | 20.7846i | 0.490307 | − | 0.849236i | −0.509631 | − | 0.860393i | \(-0.670218\pi\) |
0.999938 | + | 0.0111569i | \(0.00355143\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.5000 | + | 19.9186i | −0.469095 | + | 0.812496i | −0.999376 | − | 0.0353259i | \(-0.988753\pi\) |
0.530281 | + | 0.847822i | \(0.322086\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −13.0000 | −0.529401 | ||||||||
\(604\) | 8.00000 | − | 13.8564i | 0.325515 | − | 0.563809i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.50000 | − | 6.06218i | 0.142061 | − | 0.246056i | −0.786212 | − | 0.617957i | \(-0.787961\pi\) |
0.928272 | + | 0.371901i | \(0.121294\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −12.0000 | + | 10.3923i | −0.486265 | + | 0.421117i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 15.0000 | − | 15.5885i | 0.606835 | − | 0.630641i | ||||
\(612\) | −6.00000 | + | 10.3923i | −0.242536 | + | 0.420084i | ||||
\(613\) | −17.5000 | − | 30.3109i | −0.706818 | − | 1.22425i | −0.966031 | − | 0.258425i | \(-0.916796\pi\) |
0.259213 | − | 0.965820i | \(-0.416537\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −6.00000 | − | 10.3923i | −0.241551 | − | 0.418378i | 0.719605 | − | 0.694383i | \(-0.244323\pi\) |
−0.961156 | + | 0.276005i | \(0.910989\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.00000 | − | 3.46410i | 0.0803868 | − | 0.139234i | −0.823029 | − | 0.567999i | \(-0.807718\pi\) |
0.903416 | + | 0.428765i | \(0.141051\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.00000 | −0.240772 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −12.0000 | + | 10.3923i | −0.480770 | + | 0.416359i | ||||
\(624\) | 10.0000 | − | 10.3923i | 0.400320 | − | 0.416025i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.500000 | − | 0.866025i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.00000 | − | 5.19615i | −0.119808 | − | 0.207514i | ||||
\(628\) | 11.0000 | − | 19.0526i | 0.438948 | − | 0.760280i | ||||
\(629\) | 6.00000 | 0.239236 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.50000 | − | 14.7224i | −0.338380 | − | 0.586091i | 0.645748 | − | 0.763550i | \(-0.276545\pi\) |
−0.984128 | + | 0.177459i | \(0.943212\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −7.00000 | −0.278225 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −12.0000 | −0.475831 | ||||||||
\(637\) | 25.0000 | − | 3.46410i | 0.990536 | − | 0.137253i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −12.0000 | −0.474713 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 24.0000 | 0.947943 | 0.473972 | − | 0.880540i | \(-0.342820\pi\) | ||||
0.473972 | + | 0.880540i | \(0.342820\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.0000 | − | 17.3205i | −0.394362 | − | 0.683054i | 0.598658 | − | 0.801005i | \(-0.295701\pi\) |
−0.993019 | + | 0.117951i | \(0.962368\pi\) | |||||||
\(644\) | −24.0000 | + | 20.7846i | −0.945732 | + | 0.819028i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −10.0000 | + | 8.66025i | −0.391931 | + | 0.339422i | ||||
\(652\) | −19.0000 | + | 32.9090i | −0.744097 | + | 1.28881i | ||||
\(653\) | −24.0000 | −0.939193 | −0.469596 | − | 0.882881i | \(-0.655601\pi\) | ||||
−0.469596 | + | 0.882881i | \(0.655601\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 5.00000 | + | 8.66025i | 0.195069 | + | 0.337869i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −9.00000 | − | 15.5885i | −0.350590 | − | 0.607240i | 0.635763 | − | 0.771885i | \(-0.280686\pi\) |
−0.986353 | + | 0.164644i | \(0.947352\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.50000 | + | 11.2583i | 0.252821 | + | 0.437898i | 0.964301 | − | 0.264807i | \(-0.0853084\pi\) |
−0.711481 | + | 0.702706i | \(0.751975\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −15.0000 | + | 15.5885i | −0.582552 | + | 0.605406i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 18.0000 | − | 31.1769i | 0.696963 | − | 1.20717i | ||||
\(668\) | −18.0000 | + | 31.1769i | −0.696441 | + | 1.20627i | ||||
\(669\) | 8.00000 | 0.309298 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 78.0000 | 3.01116 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.00000 | + | 12.1244i | −0.269830 | + | 0.467360i | −0.968818 | − | 0.247774i | \(-0.920301\pi\) |
0.698988 | + | 0.715134i | \(0.253634\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.50000 | − | 4.33013i | 0.0962250 | − | 0.166667i | ||||
\(676\) | 22.0000 | − | 13.8564i | 0.846154 | − | 0.532939i | ||||
\(677\) | 6.00000 | + | 10.3923i | 0.230599 | + | 0.399409i | 0.957984 | − | 0.286820i | \(-0.0925982\pi\) |
−0.727386 | + | 0.686229i | \(0.759265\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.5000 | + | 4.33013i | 0.479706 | + | 0.166175i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 6.00000 | + | 10.3923i | 0.229920 | + | 0.398234i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 12.0000 | 0.459167 | 0.229584 | − | 0.973289i | \(-0.426264\pi\) | ||||
0.229584 | + | 0.973289i | \(0.426264\pi\) | |||||||
\(684\) | −1.00000 | − | 1.73205i | −0.0382360 | − | 0.0662266i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.50000 | − | 6.06218i | 0.133533 | − | 0.231287i | ||||
\(688\) | 8.00000 | + | 13.8564i | 0.304997 | + | 0.528271i | ||||
\(689\) | −21.0000 | − | 5.19615i | −0.800036 | − | 0.197958i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.00000 | −0.152167 | −0.0760836 | − | 0.997101i | \(-0.524242\pi\) | ||||
−0.0760836 | + | 0.997101i | \(0.524242\pi\) | |||||||
\(692\) | 12.0000 | − | 20.7846i | 0.456172 | − | 0.790112i | ||||
\(693\) | 12.0000 | − | 10.3923i | 0.455842 | − | 0.394771i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −6.00000 | + | 10.3923i | −0.226941 | + | 0.393073i | ||||
\(700\) | −5.00000 | − | 25.9808i | −0.188982 | − | 0.981981i | ||||
\(701\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.500000 | + | 0.866025i | −0.0188579 | + | 0.0326628i | ||||
\(704\) | −24.0000 | − | 41.5692i | −0.904534 | − | 1.56670i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 30.0000 | + | 10.3923i | 1.12827 | + | 0.390843i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.5000 | − | 26.8468i | 0.582115 | − | 1.00825i | −0.413114 | − | 0.910679i | \(-0.635559\pi\) |
0.995228 | − | 0.0975728i | \(-0.0311079\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.00000 | −0.0375029 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 15.0000 | − | 25.9808i | 0.561754 | − | 0.972987i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −18.0000 | − | 31.1769i | −0.672692 | − | 1.16514i | ||||
\(717\) | 6.00000 | + | 10.3923i | 0.224074 | + | 0.388108i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −40.0000 | − | 13.8564i | −1.48968 | − | 0.516040i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −13.0000 | − | 22.5167i | −0.483475 | − | 0.837404i | ||||
\(724\) | −34.0000 | −1.26360 | ||||||||
\(725\) | 15.0000 | + | 25.9808i | 0.557086 | + | 0.964901i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.00000 | −0.0370879 | −0.0185440 | − | 0.999828i | \(-0.505903\pi\) | ||||
−0.0185440 | + | 0.999828i | \(0.505903\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −12.0000 | − | 20.7846i | −0.443836 | − | 0.768747i | ||||
\(732\) | 26.0000 | 0.960988 | ||||||||
\(733\) | 15.5000 | + | 26.8468i | 0.572506 | + | 0.991609i | 0.996308 | + | 0.0858539i | \(0.0273618\pi\) |
−0.423802 | + | 0.905755i | \(0.639305\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −39.0000 | + | 67.5500i | −1.43658 | + | 2.48824i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −17.5000 | − | 30.3109i | −0.643748 | − | 1.11500i | −0.984589 | − | 0.174883i | \(-0.944045\pi\) |
0.340841 | − | 0.940121i | \(-0.389288\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.00000 | − | 3.46410i | −0.0367359 | − | 0.127257i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 18.0000 | − | 31.1769i | 0.660356 | − | 1.14377i | −0.320166 | − | 0.947361i | \(-0.603739\pi\) |
0.980522 | − | 0.196409i | \(-0.0629279\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.00000 | − | 5.19615i | 0.109764 | − | 0.190117i | ||||
\(748\) | 36.0000 | + | 62.3538i | 1.31629 | + | 2.27988i | ||||
\(749\) | −12.0000 | + | 10.3923i | −0.438470 | + | 0.379727i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −25.0000 | −0.912263 | −0.456131 | − | 0.889912i | \(-0.650765\pi\) | ||||
−0.456131 | + | 0.889912i | \(0.650765\pi\) | |||||||
\(752\) | −12.0000 | − | 20.7846i | −0.437595 | − | 0.757937i | ||||
\(753\) | −3.00000 | + | 5.19615i | −0.109326 | + | 0.189358i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 4.00000 | − | 3.46410i | 0.145479 | − | 0.125988i | ||||
\(757\) | −19.0000 | + | 32.9090i | −0.690567 | + | 1.19610i | 0.281086 | + | 0.959683i | \(0.409305\pi\) |
−0.971652 | + | 0.236414i | \(0.924028\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −18.0000 | + | 31.1769i | −0.653359 | + | 1.13165i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 6.00000 | − | 10.3923i | 0.217500 | − | 0.376721i | −0.736543 | − | 0.676391i | \(-0.763543\pi\) |
0.954043 | + | 0.299670i | \(0.0968765\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.00000 | + | 25.9808i | 0.181012 | + | 0.940567i | ||||
\(764\) | −6.00000 | + | 10.3923i | −0.217072 | + | 0.375980i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −8.00000 | − | 13.8564i | −0.288675 | − | 0.500000i | ||||
\(769\) | −23.5000 | + | 40.7032i | −0.847432 | + | 1.46779i | 0.0360609 | + | 0.999350i | \(0.488519\pi\) |
−0.883493 | + | 0.468445i | \(0.844814\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.00000 | + | 5.19615i | 0.108042 | + | 0.187135i | ||||
\(772\) | 2.00000 | + | 3.46410i | 0.0719816 | + | 0.124676i | ||||
\(773\) | 30.0000 | 1.07903 | 0.539513 | − | 0.841978i | \(-0.318609\pi\) | ||||
0.539513 | + | 0.841978i | \(0.318609\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.5000 | + | 21.6506i | 0.449013 | + | 0.777714i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −2.50000 | − | 0.866025i | −0.0896870 | − | 0.0310685i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −36.0000 | + | 62.3538i | −1.28818 | + | 2.23120i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −3.00000 | + | 5.19615i | −0.107211 | + | 0.185695i | ||||
\(784\) | 4.00000 | − | 27.7128i | 0.142857 | − | 0.989743i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.00000 | −0.249523 | −0.124762 | − | 0.992187i | \(-0.539817\pi\) | ||||
−0.124762 | + | 0.992187i | \(0.539817\pi\) | |||||||
\(788\) | −24.0000 | + | 41.5692i | −0.854965 | + | 1.48084i | ||||
\(789\) | 12.0000 | − | 20.7846i | 0.427211 | − | 0.739952i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −15.0000 | − | 5.19615i | −0.533339 | − | 0.184754i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 45.5000 | + | 11.2583i | 1.61575 | + | 0.399795i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.00000 | 0.0708881 | ||||||||
\(797\) | −6.00000 | − | 10.3923i | −0.212531 | − | 0.368114i | 0.739975 | − | 0.672634i | \(-0.234837\pi\) |
−0.952506 | + | 0.304520i | \(0.901504\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 18.0000 | + | 31.1769i | 0.636794 | + | 1.10296i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.00000 | + | 5.19615i | −0.106000 | + | 0.183597i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 60.0000 | 2.11735 | ||||||||
\(804\) | −13.0000 | + | 22.5167i | −0.458475 | + | 0.794101i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 3.00000 | + | 5.19615i | 0.105605 | + | 0.182913i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.00000 | −0.0351147 | −0.0175574 | − | 0.999846i | \(-0.505589\pi\) | ||||
−0.0175574 | + | 0.999846i | \(0.505589\pi\) | |||||||
\(812\) | 6.00000 | + | 31.1769i | 0.210559 | + | 1.09410i | ||||
\(813\) | 0.500000 | + | 0.866025i | 0.0175358 | + | 0.0303728i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 12.0000 | + | 20.7846i | 0.420084 | + | 0.727607i | ||||
\(817\) | 4.00000 | 0.139942 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 8.50000 | − | 4.33013i | 0.297014 | − | 0.151307i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 32.0000 | 1.11545 | 0.557725 | − | 0.830026i | \(-0.311674\pi\) | ||||
0.557725 | + | 0.830026i | \(0.311674\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −15.0000 | − | 25.9808i | −0.522233 | − | 0.904534i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.0000 | 1.25184 | 0.625921 | − | 0.779886i | \(-0.284723\pi\) | ||||
0.625921 | + | 0.779886i | \(0.284723\pi\) | |||||||
\(828\) | −6.00000 | + | 10.3923i | −0.208514 | + | 0.361158i | ||||
\(829\) | 5.00000 | + | 8.66025i | 0.173657 | + | 0.300783i | 0.939696 | − | 0.342012i | \(-0.111108\pi\) |
−0.766039 | + | 0.642795i | \(0.777775\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.50000 | − | 4.33013i | −0.0867240 | − | 0.150210i | ||||
\(832\) | −8.00000 | − | 27.7128i | −0.277350 | − | 0.960769i | ||||
\(833\) | −6.00000 | + | 41.5692i | −0.207888 | + | 1.44029i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −12.0000 | −0.415029 | ||||||||
\(837\) | −2.50000 | + | 4.33013i | −0.0864126 | + | 0.149671i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 27.0000 | + | 46.7654i | 0.932144 | + | 1.61452i | 0.779650 | + | 0.626215i | \(0.215397\pi\) |
0.152493 | + | 0.988304i | \(0.451270\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.50000 | − | 6.06218i | −0.120690 | − | 0.209041i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −15.0000 | − | 25.9808i | −0.516627 | − | 0.894825i | ||||
\(844\) | −7.00000 | + | 12.1244i | −0.240950 | + | 0.417338i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −12.5000 | − | 64.9519i | −0.429505 | − | 2.23177i | ||||
\(848\) | −12.0000 | + | 20.7846i | −0.412082 | + | 0.713746i | ||||
\(849\) | −10.0000 | + | 17.3205i | −0.343199 | + | 0.594438i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.00000 | 0.205677 | ||||||||
\(852\) | −12.0000 | + | 20.7846i | −0.411113 | + | 0.712069i | ||||
\(853\) | −37.0000 | −1.26686 | −0.633428 | − | 0.773802i | \(-0.718353\pi\) | ||||
−0.633428 | + | 0.773802i | \(0.718353\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 27.0000 | − | 46.7654i | 0.922302 | − | 1.59747i | 0.126459 | − | 0.991972i | \(-0.459639\pi\) |
0.795843 | − | 0.605503i | \(-0.207028\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.5000 | − | 25.1147i | −0.494734 | − | 0.856904i | 0.505248 | − | 0.862974i | \(-0.331401\pi\) |
−0.999982 | + | 0.00607046i | \(0.998068\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 12.0000 | + | 20.7846i | 0.408485 | + | 0.707516i | 0.994720 | − | 0.102624i | \(-0.0327240\pi\) |
−0.586235 | + | 0.810141i | \(0.699391\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −9.50000 | − | 16.4545i | −0.322637 | − | 0.558824i | ||||
\(868\) | 5.00000 | + | 25.9808i | 0.169711 | + | 0.881845i | ||||
\(869\) | −3.00000 | + | 5.19615i | −0.101768 | + | 0.176267i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −32.5000 | + | 33.7750i | −1.10122 | + | 1.14442i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 5.00000 | 0.169224 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 20.0000 | 0.675737 | ||||||||
\(877\) | −7.00000 | + | 12.1244i | −0.236373 | + | 0.409410i | −0.959671 | − | 0.281126i | \(-0.909292\pi\) |
0.723298 | + | 0.690536i | \(0.242625\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −6.00000 | + | 10.3923i | −0.202375 | + | 0.350524i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 12.0000 | − | 20.7846i | 0.404290 | − | 0.700251i | −0.589948 | − | 0.807441i | \(-0.700852\pi\) |
0.994239 | + | 0.107190i | \(0.0341852\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 44.0000 | 1.48072 | 0.740359 | − | 0.672212i | \(-0.234656\pi\) | ||||
0.740359 | + | 0.672212i | \(0.234656\pi\) | |||||||
\(884\) | 12.0000 | + | 41.5692i | 0.403604 | + | 1.39812i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −24.0000 | −0.805841 | −0.402921 | − | 0.915235i | \(-0.632005\pi\) | ||||
−0.402921 | + | 0.915235i | \(0.632005\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.00000 | − | 20.7846i | −0.134156 | − | 0.697093i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.00000 | − | 5.19615i | 0.100504 | − | 0.174078i | ||||
\(892\) | 8.00000 | − | 13.8564i | 0.267860 | − | 0.463947i | ||||
\(893\) | −6.00000 | −0.200782 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −15.0000 | + | 15.5885i | −0.500835 | + | 0.520483i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −15.0000 | − | 25.9808i | −0.500278 | − | 0.866507i | ||||
\(900\) | −5.00000 | − | 8.66025i | −0.166667 | − | 0.288675i | ||||
\(901\) | 18.0000 | − | 31.1769i | 0.599667 | − | 1.03865i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.00000 | + | 10.3923i | 0.0665558 | + | 0.345834i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.50000 | − | 4.33013i | −0.0830111 | − | 0.143780i | 0.821531 | − | 0.570164i | \(-0.193120\pi\) |
−0.904542 | + | 0.426385i | \(0.859787\pi\) | |||||||
\(908\) | 24.0000 | 0.796468 | ||||||||
\(909\) | 12.0000 | 0.398015 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −6.00000 | −0.198789 | −0.0993944 | − | 0.995048i | \(-0.531691\pi\) | ||||
−0.0993944 | + | 0.995048i | \(0.531691\pi\) | |||||||
\(912\) | −4.00000 | −0.132453 | ||||||||
\(913\) | −18.0000 | − | 31.1769i | −0.595713 | − | 1.03181i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −7.00000 | − | 12.1244i | −0.231287 | − | 0.400600i | ||||
\(917\) | −45.0000 | − | 15.5885i | −1.48603 | − | 0.514776i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −8.50000 | + | 14.7224i | −0.280389 | + | 0.485648i | −0.971481 | − | 0.237119i | \(-0.923797\pi\) |
0.691091 | + | 0.722767i | \(0.257130\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −5.50000 | − | 9.52628i | −0.181231 | − | 0.313902i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −30.0000 | + | 31.1769i | −0.987462 | + | 1.02620i | ||||
\(924\) | −6.00000 | − | 31.1769i | −0.197386 | − | 1.02565i | ||||
\(925\) | −2.50000 | + | 4.33013i | −0.0821995 | + | 0.142374i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −16.0000 | −0.525509 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 21.0000 | − | 36.3731i | 0.688988 | − | 1.19336i | −0.283178 | − | 0.959067i | \(-0.591389\pi\) |
0.972166 | − | 0.234294i | \(-0.0752779\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.50000 | − | 4.33013i | −0.180255 | − | 0.141914i | ||||
\(932\) | 12.0000 | + | 20.7846i | 0.393073 | + | 0.680823i | ||||
\(933\) | 30.0000 | 0.982156 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.00000 | −0.0326686 | −0.0163343 | − | 0.999867i | \(-0.505200\pi\) | ||||
−0.0163343 | + | 0.999867i | \(0.505200\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −7.00000 | + | 12.1244i | −0.228436 | + | 0.395663i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 12.0000 | − | 20.7846i | 0.391189 | − | 0.677559i | −0.601418 | − | 0.798935i | \(-0.705397\pi\) |
0.992607 | + | 0.121376i | \(0.0387306\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −18.0000 | −0.584921 | −0.292461 | − | 0.956278i | \(-0.594474\pi\) | ||||
−0.292461 | + | 0.956278i | \(0.594474\pi\) | |||||||
\(948\) | −1.00000 | + | 1.73205i | −0.0324785 | + | 0.0562544i | ||||
\(949\) | 35.0000 | + | 8.66025i | 1.13615 | + | 0.281124i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3.00000 | + | 5.19615i | −0.0972817 | + | 0.168497i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −30.0000 | − | 51.9615i | −0.971795 | − | 1.68320i | −0.690129 | − | 0.723686i | \(-0.742446\pi\) |
−0.281666 | − | 0.959512i | \(-0.590887\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 24.0000 | 0.776215 | ||||||||
\(957\) | 18.0000 | + | 31.1769i | 0.581857 | + | 1.00781i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 24.0000 | − | 20.7846i | 0.775000 | − | 0.671170i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.00000 | + | 5.19615i | 0.0967742 | + | 0.167618i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −3.00000 | + | 5.19615i | −0.0966736 | + | 0.167444i | ||||
\(964\) | −52.0000 | −1.67481 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −7.00000 | −0.225105 | −0.112552 | − | 0.993646i | \(-0.535903\pi\) | ||||
−0.112552 | + | 0.993646i | \(0.535903\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 6.00000 | 0.192748 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 18.0000 | − | 31.1769i | 0.577647 | − | 1.00051i | −0.418101 | − | 0.908401i | \(-0.637304\pi\) |
0.995748 | − | 0.0921142i | \(-0.0293625\pi\) | |||||||
\(972\) | 1.00000 | − | 1.73205i | 0.0320750 | − | 0.0555556i | ||||
\(973\) | 12.5000 | + | 4.33013i | 0.400732 | + | 0.138817i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −5.00000 | − | 17.3205i | −0.160128 | − | 0.554700i | ||||
\(976\) | 26.0000 | − | 45.0333i | 0.832240 | − | 1.44148i | ||||
\(977\) | 15.0000 | + | 25.9808i | 0.479893 | + | 0.831198i | 0.999734 | − | 0.0230645i | \(-0.00734232\pi\) |
−0.519841 | + | 0.854263i | \(0.674009\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 18.0000 | + | 31.1769i | 0.575282 | + | 0.996419i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.00000 | + | 8.66025i | 0.159638 | + | 0.276501i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −9.00000 | + | 15.5885i | −0.287055 | + | 0.497195i | −0.973106 | − | 0.230360i | \(-0.926010\pi\) |
0.686050 | + | 0.727554i | \(0.259343\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −3.00000 | − | 15.5885i | −0.0954911 | − | 0.496186i | ||||
\(988\) | −7.00000 | − | 1.73205i | −0.222700 | − | 0.0551039i | ||||
\(989\) | −12.0000 | − | 20.7846i | −0.381578 | − | 0.660912i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.5000 | − | 30.3109i | −0.555906 | − | 0.962857i | −0.997832 | − | 0.0658059i | \(-0.979038\pi\) |
0.441927 | − | 0.897051i | \(-0.354295\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −4.00000 | −0.126936 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −6.00000 | − | 10.3923i | −0.190117 | − | 0.329293i | ||||
\(997\) | −22.0000 | −0.696747 | −0.348373 | − | 0.937356i | \(-0.613266\pi\) | ||||
−0.348373 | + | 0.937356i | \(0.613266\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.00000 | −0.0316386 |
(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 | 273.2.l.a.256.1 | yes | 2 | |
3.2 | odd | 2 | 819.2.s.b.802.1 | 2 | |||
7.2 | even | 3 | 273.2.j.a.100.1 | ✓ | 2 | ||
13.3 | even | 3 | 273.2.j.a.172.1 | yes | 2 | ||
21.2 | odd | 6 | 819.2.n.b.100.1 | 2 | |||
39.29 | odd | 6 | 819.2.n.b.172.1 | 2 | |||
91.16 | even | 3 | inner | 273.2.l.a.16.1 | yes | 2 | |
273.107 | odd | 6 | 819.2.s.b.289.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.j.a.100.1 | ✓ | 2 | 7.2 | even | 3 | ||
273.2.j.a.172.1 | yes | 2 | 13.3 | even | 3 | ||
273.2.l.a.16.1 | yes | 2 | 91.16 | even | 3 | inner | |
273.2.l.a.256.1 | yes | 2 | 1.1 | even | 1 | trivial | |
819.2.n.b.100.1 | 2 | 21.2 | odd | 6 | |||
819.2.n.b.172.1 | 2 | 39.29 | odd | 6 | |||
819.2.s.b.289.1 | 2 | 273.107 | odd | 6 | |||
819.2.s.b.802.1 | 2 | 3.2 | odd | 2 |