Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(109,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.h (of order \(3\), 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: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 541.1 | ||
Root | \(0.707107 + 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.541 |
Dual form | 1134.2.h.s.109.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.00000 | − | 2.44949i | 0.377964 | − | 0.925820i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.24264 | −1.27920 | −0.639602 | − | 0.768706i | \(-0.720901\pi\) | ||||
−0.639602 | + | 0.768706i | \(0.720901\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.12132 | − | 5.40629i | −0.865699 | − | 1.49943i | −0.866352 | − | 0.499434i | \(-0.833541\pi\) |
0.000653431 | − | 1.00000i | \(-0.499792\pi\) | |||||||
\(14\) | 2.62132 | − | 0.358719i | 0.700577 | − | 0.0958718i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.12132 | + | 5.40629i | −0.716080 | + | 1.24029i | 0.246462 | + | 0.969153i | \(0.420732\pi\) |
−0.962542 | + | 0.271134i | \(0.912601\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.12132 | − | 3.67423i | −0.452267 | − | 0.783349i | ||||
\(23\) | −7.24264 | −1.51019 | −0.755097 | − | 0.655613i | \(-0.772410\pi\) | ||||
−0.755097 | + | 0.655613i | \(0.772410\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −5.00000 | −1.00000 | ||||||||
\(26\) | 3.12132 | − | 5.40629i | 0.612141 | − | 1.06026i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.62132 | + | 2.09077i | 0.306401 | + | 0.395118i | ||||
\(29\) | −2.12132 | + | 3.67423i | −0.393919 | + | 0.682288i | −0.992963 | − | 0.118428i | \(-0.962214\pi\) |
0.599043 | + | 0.800717i | \(0.295548\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.378680 | + | 0.655892i | −0.0680129 | + | 0.117802i | −0.898027 | − | 0.439941i | \(-0.854999\pi\) |
0.830014 | + | 0.557743i | \(0.188333\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.00000 | − | 3.46410i | 0.328798 | − | 0.569495i | −0.653476 | − | 0.756948i | \(-0.726690\pi\) |
0.982274 | + | 0.187453i | \(0.0600231\pi\) | |||||||
\(38\) | −6.24264 | −1.01269 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.74264 | − | 4.75039i | −0.428329 | − | 0.741887i | 0.568396 | − | 0.822755i | \(-0.307564\pi\) |
−0.996725 | + | 0.0808682i | \(0.974231\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.24264 | − | 5.61642i | 0.494498 | − | 0.856496i | −0.505482 | − | 0.862837i | \(-0.668685\pi\) |
0.999980 | + | 0.00634147i | \(0.00201857\pi\) | |||||||
\(44\) | 2.12132 | − | 3.67423i | 0.319801 | − | 0.553912i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.62132 | − | 6.27231i | −0.533935 | − | 0.924802i | ||||
\(47\) | 6.62132 | + | 11.4685i | 0.965819 | + | 1.67285i | 0.707399 | + | 0.706815i | \(0.249869\pi\) |
0.258420 | + | 0.966033i | \(0.416798\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.00000 | − | 4.89898i | −0.714286 | − | 0.699854i | ||||
\(50\) | −2.50000 | − | 4.33013i | −0.353553 | − | 0.612372i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 6.24264 | 0.865699 | ||||||||
\(53\) | 2.12132 | + | 3.67423i | 0.291386 | + | 0.504695i | 0.974138 | − | 0.225955i | \(-0.0725503\pi\) |
−0.682752 | + | 0.730650i | \(0.739217\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.00000 | + | 2.44949i | −0.133631 | + | 0.327327i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.24264 | −0.557086 | ||||||||
\(59\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.12132 | − | 5.40629i | −0.399644 | − | 0.692204i | 0.594038 | − | 0.804437i | \(-0.297533\pi\) |
−0.993682 | + | 0.112233i | \(0.964200\pi\) | |||||||
\(62\) | −0.757359 | −0.0961847 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.12132 | − | 7.13834i | 0.503499 | − | 0.872087i | −0.496492 | − | 0.868041i | \(-0.665379\pi\) |
0.999992 | − | 0.00404550i | \(-0.00128773\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.24264 | 0.859543 | 0.429772 | − | 0.902938i | \(-0.358594\pi\) | ||||
0.429772 | + | 0.902938i | \(0.358594\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.50000 | + | 6.06218i | 0.409644 | + | 0.709524i | 0.994850 | − | 0.101361i | \(-0.0323196\pi\) |
−0.585206 | + | 0.810885i | \(0.698986\pi\) | |||||||
\(74\) | 4.00000 | 0.464991 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.12132 | − | 5.40629i | −0.358040 | − | 0.620143i | ||||
\(77\) | −4.24264 | + | 10.3923i | −0.483494 | + | 1.18431i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.62132 | − | 8.00436i | −0.519939 | − | 0.900561i | −0.999731 | − | 0.0231789i | \(-0.992621\pi\) |
0.479792 | − | 0.877382i | \(-0.340712\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.74264 | − | 4.75039i | 0.302874 | − | 0.524593i | ||||
\(83\) | 3.87868 | − | 6.71807i | 0.425740 | − | 0.737404i | −0.570749 | − | 0.821125i | \(-0.693347\pi\) |
0.996489 | + | 0.0837207i | \(0.0266803\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 6.48528 | 0.699326 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.24264 | 0.452267 | ||||||||
\(89\) | −2.74264 | + | 4.75039i | −0.290719 | + | 0.503541i | −0.973980 | − | 0.226634i | \(-0.927228\pi\) |
0.683261 | + | 0.730175i | \(0.260561\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −16.3640 | + | 2.23936i | −1.71541 | + | 0.234748i | ||||
\(92\) | 3.62132 | − | 6.27231i | 0.377549 | − | 0.653934i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.62132 | + | 11.4685i | −0.682937 | + | 1.18288i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.24264 | − | 10.8126i | 0.633844 | − | 1.09785i | −0.352915 | − | 0.935656i | \(-0.614809\pi\) |
0.986759 | − | 0.162195i | \(-0.0518573\pi\) | |||||||
\(98\) | 1.74264 | − | 6.77962i | 0.176033 | − | 0.684845i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.50000 | − | 4.33013i | 0.250000 | − | 0.433013i | ||||
\(101\) | −7.75736 | −0.771886 | −0.385943 | − | 0.922523i | \(-0.626124\pi\) | ||||
−0.385943 | + | 0.922523i | \(0.626124\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.757359 | 0.0746248 | 0.0373124 | − | 0.999304i | \(-0.488120\pi\) | ||||
0.0373124 | + | 0.999304i | \(0.488120\pi\) | |||||||
\(104\) | 3.12132 | + | 5.40629i | 0.306071 | + | 0.530130i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.12132 | + | 3.67423i | −0.206041 | + | 0.356873i | ||||
\(107\) | −1.24264 | + | 2.15232i | −0.120131 | + | 0.208072i | −0.919819 | − | 0.392343i | \(-0.871665\pi\) |
0.799688 | + | 0.600415i | \(0.204998\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.12132 | + | 1.94218i | 0.107403 | + | 0.186027i | 0.914717 | − | 0.404094i | \(-0.132413\pi\) |
−0.807314 | + | 0.590122i | \(0.799080\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.62132 | + | 0.358719i | −0.247691 | + | 0.0338958i | ||||
\(113\) | −10.2426 | − | 17.7408i | −0.963547 | − | 1.66891i | −0.713470 | − | 0.700686i | \(-0.752878\pi\) |
−0.250076 | − | 0.968226i | \(-0.580456\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.12132 | − | 3.67423i | −0.196960 | − | 0.341144i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.00000 | 0.636364 | ||||||||
\(122\) | 3.12132 | − | 5.40629i | 0.282591 | − | 0.489462i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.378680 | − | 0.655892i | −0.0340064 | − | 0.0589009i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.75736 | 0.599619 | 0.299809 | − | 0.953999i | \(-0.403077\pi\) | ||||
0.299809 | + | 0.953999i | \(0.403077\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.75736 | 0.677764 | 0.338882 | − | 0.940829i | \(-0.389951\pi\) | ||||
0.338882 | + | 0.940829i | \(0.389951\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.1213 | + | 13.0519i | 0.877630 | + | 1.13175i | ||||
\(134\) | 8.24264 | 0.712056 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 19.9706 | 1.70620 | 0.853100 | − | 0.521747i | \(-0.174720\pi\) | ||||
0.853100 | + | 0.521747i | \(0.174720\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.36396 | + | 4.09450i | 0.200509 | + | 0.347291i | 0.948692 | − | 0.316200i | \(-0.102407\pi\) |
−0.748184 | + | 0.663491i | \(0.769074\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.62132 | + | 6.27231i | 0.303894 | + | 0.526361i | ||||
\(143\) | 13.2426 | + | 22.9369i | 1.10741 | + | 1.91808i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −3.50000 | + | 6.06218i | −0.289662 | + | 0.501709i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.00000 | + | 3.46410i | 0.164399 | + | 0.284747i | ||||
\(149\) | −16.2426 | −1.33065 | −0.665324 | − | 0.746554i | \(-0.731707\pi\) | ||||
−0.665324 | + | 0.746554i | \(0.731707\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.75736 | −0.224391 | −0.112195 | − | 0.993686i | \(-0.535788\pi\) | ||||
−0.112195 | + | 0.993686i | \(0.535788\pi\) | |||||||
\(152\) | 3.12132 | − | 5.40629i | 0.253173 | − | 0.438508i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −11.1213 | + | 1.52192i | −0.896182 | + | 0.122640i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.00000 | + | 12.1244i | −0.558661 | + | 0.967629i | 0.438948 | + | 0.898513i | \(0.355351\pi\) |
−0.997609 | + | 0.0691164i | \(0.977982\pi\) | |||||||
\(158\) | 4.62132 | − | 8.00436i | 0.367653 | − | 0.636793i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.24264 | + | 17.7408i | −0.570800 | + | 1.39817i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.87868 | − | 10.1822i | 0.460454 | − | 0.797529i | −0.538530 | − | 0.842606i | \(-0.681020\pi\) |
0.998984 | + | 0.0450772i | \(0.0143534\pi\) | |||||||
\(164\) | 5.48528 | 0.428329 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.75736 | 0.602088 | ||||||||
\(167\) | 12.1066 | + | 20.9692i | 0.936837 | + | 1.62265i | 0.771325 | + | 0.636441i | \(0.219594\pi\) |
0.165512 | + | 0.986208i | \(0.447072\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.9853 | + | 22.4912i | −0.998868 | + | 1.73009i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.24264 | + | 5.61642i | 0.247249 | + | 0.428248i | ||||
\(173\) | −5.48528 | − | 9.50079i | −0.417038 | − | 0.722331i | 0.578602 | − | 0.815610i | \(-0.303599\pi\) |
−0.995640 | + | 0.0932788i | \(0.970265\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.00000 | + | 12.2474i | −0.377964 | + | 0.925820i | ||||
\(176\) | 2.12132 | + | 3.67423i | 0.159901 | + | 0.276956i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.48528 | −0.411139 | ||||||||
\(179\) | −8.12132 | − | 14.0665i | −0.607016 | − | 1.05138i | −0.991729 | − | 0.128346i | \(-0.959033\pi\) |
0.384713 | − | 0.923036i | \(-0.374300\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −20.2426 | −1.50462 | −0.752312 | − | 0.658807i | \(-0.771061\pi\) | ||||
−0.752312 | + | 0.658807i | \(0.771061\pi\) | |||||||
\(182\) | −10.1213 | − | 13.0519i | −0.750242 | − | 0.967473i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.24264 | 0.533935 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −13.2426 | −0.965819 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.24264 | + | 7.34847i | 0.306987 | + | 0.531717i | 0.977702 | − | 0.209999i | \(-0.0673460\pi\) |
−0.670715 | + | 0.741715i | \(0.734013\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.25736 | − | 3.90986i | 0.162488 | − | 0.281438i | −0.773272 | − | 0.634074i | \(-0.781381\pi\) |
0.935760 | + | 0.352636i | \(0.114715\pi\) | |||||||
\(194\) | 12.4853 | 0.896391 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.74264 | − | 1.88064i | 0.481617 | − | 0.134331i | ||||
\(197\) | −16.9706 | −1.20910 | −0.604551 | − | 0.796566i | \(-0.706648\pi\) | ||||
−0.604551 | + | 0.796566i | \(0.706648\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.37868 | + | 12.7802i | 0.523061 | + | 0.905968i | 0.999640 | + | 0.0268362i | \(0.00854325\pi\) |
−0.476579 | + | 0.879132i | \(0.658123\pi\) | |||||||
\(200\) | 5.00000 | 0.353553 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.87868 | − | 6.71807i | −0.272903 | − | 0.472682i | ||||
\(203\) | 6.87868 | + | 8.87039i | 0.482789 | + | 0.622579i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.378680 | + | 0.655892i | 0.0263839 | + | 0.0456982i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.12132 | + | 5.40629i | −0.216425 | + | 0.374858i | ||||
\(209\) | 13.2426 | − | 22.9369i | 0.916013 | − | 1.58658i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.24264 | + | 5.61642i | 0.223233 | + | 0.386650i | 0.955788 | − | 0.294058i | \(-0.0950057\pi\) |
−0.732555 | + | 0.680708i | \(0.761672\pi\) | |||||||
\(212\) | −4.24264 | −0.291386 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.48528 | −0.169890 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.22792 | + | 1.58346i | 0.0833568 | + | 0.107493i | ||||
\(218\) | −1.12132 | + | 1.94218i | −0.0759454 | + | 0.131541i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.86396 | + | 10.1567i | −0.392680 | + | 0.680141i | −0.992802 | − | 0.119767i | \(-0.961785\pi\) |
0.600122 | + | 0.799908i | \(0.295119\pi\) | |||||||
\(224\) | −1.62132 | − | 2.09077i | −0.108329 | − | 0.139695i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.2426 | − | 17.7408i | 0.681330 | − | 1.18010i | ||||
\(227\) | −26.4853 | −1.75789 | −0.878945 | − | 0.476923i | \(-0.841752\pi\) | ||||
−0.878945 | + | 0.476923i | \(0.841752\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 24.9706 | 1.65010 | 0.825051 | − | 0.565059i | \(-0.191147\pi\) | ||||
0.825051 | + | 0.565059i | \(0.191147\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.12132 | − | 3.67423i | 0.139272 | − | 0.241225i | ||||
\(233\) | 10.2426 | − | 17.7408i | 0.671018 | − | 1.16224i | −0.306598 | − | 0.951839i | \(-0.599191\pi\) |
0.977616 | − | 0.210398i | \(-0.0674759\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.86396 | + | 3.22848i | 0.120570 | + | 0.208833i | 0.919992 | − | 0.391936i | \(-0.128195\pi\) |
−0.799423 | + | 0.600769i | \(0.794861\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.51472 | 0.548481 | 0.274241 | − | 0.961661i | \(-0.411574\pi\) | ||||
0.274241 | + | 0.961661i | \(0.411574\pi\) | |||||||
\(242\) | 3.50000 | + | 6.06218i | 0.224989 | + | 0.389692i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.24264 | 0.399644 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 38.9706 | 2.47964 | ||||||||
\(248\) | 0.378680 | − | 0.655892i | 0.0240462 | − | 0.0416492i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −18.7279 | −1.18210 | −0.591048 | − | 0.806636i | \(-0.701286\pi\) | ||||
−0.591048 | + | 0.806636i | \(0.701286\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 30.7279 | 1.93185 | ||||||||
\(254\) | 3.37868 | + | 5.85204i | 0.211997 | + | 0.367190i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −5.48528 | −0.342162 | −0.171081 | − | 0.985257i | \(-0.554726\pi\) | ||||
−0.171081 | + | 0.985257i | \(0.554726\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.48528 | − | 8.36308i | −0.402976 | − | 0.519657i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.87868 | + | 6.71807i | 0.239626 | + | 0.415044i | ||||
\(263\) | −22.9706 | −1.41643 | −0.708213 | − | 0.705999i | \(-0.750498\pi\) | ||||
−0.708213 | + | 0.705999i | \(0.750498\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −6.24264 | + | 15.2913i | −0.382761 | + | 0.937569i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.12132 | + | 7.13834i | 0.251750 | + | 0.436043i | ||||
\(269\) | −5.48528 | − | 9.50079i | −0.334444 | − | 0.579273i | 0.648934 | − | 0.760844i | \(-0.275215\pi\) |
−0.983378 | + | 0.181571i | \(0.941882\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.24264 | − | 10.8126i | 0.379213 | − | 0.656817i | −0.611735 | − | 0.791063i | \(-0.709528\pi\) |
0.990948 | + | 0.134246i | \(0.0428613\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.98528 | + | 17.2950i | 0.603233 | + | 1.04483i | ||||
\(275\) | 21.2132 | 1.27920 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −19.2132 | −1.15441 | −0.577205 | − | 0.816599i | \(-0.695857\pi\) | ||||
−0.577205 | + | 0.816599i | \(0.695857\pi\) | |||||||
\(278\) | −2.36396 | + | 4.09450i | −0.141781 | + | 0.245572i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 11.2279 | − | 19.4473i | 0.669802 | − | 1.16013i | −0.308158 | − | 0.951335i | \(-0.599712\pi\) |
0.977959 | − | 0.208795i | \(-0.0669542\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.4853 | + | 21.6251i | −0.742173 | + | 1.28548i | 0.209331 | + | 0.977845i | \(0.432871\pi\) |
−0.951504 | + | 0.307636i | \(0.900462\pi\) | |||||||
\(284\) | −3.62132 | + | 6.27231i | −0.214886 | + | 0.372193i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −13.2426 | + | 22.9369i | −0.783054 | + | 1.35629i | ||||
\(287\) | −14.3787 | + | 1.96768i | −0.848747 | + | 0.116148i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.50000 | − | 14.7224i | 0.500000 | − | 0.866025i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −7.00000 | −0.409644 | ||||||||
\(293\) | −5.48528 | − | 9.50079i | −0.320454 | − | 0.555042i | 0.660128 | − | 0.751153i | \(-0.270502\pi\) |
−0.980582 | + | 0.196111i | \(0.937169\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −2.00000 | + | 3.46410i | −0.116248 | + | 0.201347i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −8.12132 | − | 14.0665i | −0.470455 | − | 0.814853i | ||||
\(299\) | 22.6066 | + | 39.1558i | 1.30737 | + | 2.26444i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.5147 | − | 13.5592i | −0.606058 | − | 0.781541i | ||||
\(302\) | −1.37868 | − | 2.38794i | −0.0793341 | − | 0.137411i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.24264 | 0.358040 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −28.0000 | −1.59804 | −0.799022 | − | 0.601302i | \(-0.794649\pi\) | ||||
−0.799022 | + | 0.601302i | \(0.794649\pi\) | |||||||
\(308\) | −6.87868 | − | 8.87039i | −0.391949 | − | 0.505437i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −5.48528 | + | 9.50079i | −0.311042 | + | 0.538740i | −0.978588 | − | 0.205828i | \(-0.934011\pi\) |
0.667546 | + | 0.744568i | \(0.267345\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.98528 | + | 15.5630i | 0.507878 | + | 0.879671i | 0.999958 | + | 0.00912090i | \(0.00290331\pi\) |
−0.492080 | + | 0.870550i | \(0.663763\pi\) | |||||||
\(314\) | −14.0000 | −0.790066 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 9.24264 | 0.519939 | ||||||||
\(317\) | −8.48528 | − | 14.6969i | −0.476581 | − | 0.825462i | 0.523059 | − | 0.852296i | \(-0.324791\pi\) |
−0.999640 | + | 0.0268342i | \(0.991457\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.00000 | − | 15.5885i | 0.503903 | − | 0.872786i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −18.9853 | + | 2.59808i | −1.05801 | + | 0.144785i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 15.6066 | + | 27.0314i | 0.865699 | + | 1.49943i | ||||
\(326\) | 11.7574 | 0.651180 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.74264 | + | 4.75039i | 0.151437 | + | 0.262297i | ||||
\(329\) | 34.7132 | − | 4.75039i | 1.91380 | − | 0.261898i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.24264 | + | 16.0087i | 0.508021 | + | 0.879919i | 0.999957 | + | 0.00928730i | \(0.00295628\pi\) |
−0.491935 | + | 0.870632i | \(0.663710\pi\) | |||||||
\(332\) | 3.87868 | + | 6.71807i | 0.212870 | + | 0.368702i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −12.1066 | + | 20.9692i | −0.662444 | + | 1.14739i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.24264 | − | 3.88437i | −0.122164 | − | 0.211595i | 0.798457 | − | 0.602052i | \(-0.205650\pi\) |
−0.920621 | + | 0.390457i | \(0.872317\pi\) | |||||||
\(338\) | −25.9706 | −1.41261 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.60660 | − | 2.78272i | 0.0870024 | − | 0.150693i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.0000 | + | 7.34847i | −0.917914 | + | 0.396780i | ||||
\(344\) | −3.24264 | + | 5.61642i | −0.174831 | + | 0.302817i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.48528 | − | 9.50079i | 0.294891 | − | 0.510765i | ||||
\(347\) | −3.36396 | + | 5.82655i | −0.180587 | + | 0.312786i | −0.942081 | − | 0.335387i | \(-0.891133\pi\) |
0.761494 | + | 0.648172i | \(0.224466\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.4853 | + | 21.6251i | −0.668322 | + | 1.15757i | 0.310051 | + | 0.950720i | \(0.399654\pi\) |
−0.978373 | + | 0.206848i | \(0.933680\pi\) | |||||||
\(350\) | −13.1066 | + | 1.79360i | −0.700577 | + | 0.0958718i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.12132 | + | 3.67423i | −0.113067 | + | 0.195837i | ||||
\(353\) | −21.0000 | −1.11772 | −0.558859 | − | 0.829263i | \(-0.688761\pi\) | ||||
−0.558859 | + | 0.829263i | \(0.688761\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −2.74264 | − | 4.75039i | −0.145360 | − | 0.251770i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.12132 | − | 14.0665i | 0.429225 | − | 0.743440i | ||||
\(359\) | 5.37868 | − | 9.31615i | 0.283876 | − | 0.491687i | −0.688460 | − | 0.725274i | \(-0.741713\pi\) |
0.972336 | + | 0.233587i | \(0.0750463\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.98528 | − | 17.2950i | −0.525541 | − | 0.910264i | ||||
\(362\) | −10.1213 | − | 17.5306i | −0.531965 | − | 0.921390i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.24264 | − | 15.2913i | 0.327203 | − | 0.801481i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.7279 | 0.612193 | 0.306096 | − | 0.952001i | \(-0.400977\pi\) | ||||
0.306096 | + | 0.952001i | \(0.400977\pi\) | |||||||
\(368\) | 3.62132 | + | 6.27231i | 0.188774 | + | 0.326967i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 11.1213 | − | 1.52192i | 0.577390 | − | 0.0790140i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.21320 | −0.373486 | −0.186743 | − | 0.982409i | \(-0.559793\pi\) | ||||
−0.186743 | + | 0.982409i | \(0.559793\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.62132 | − | 11.4685i | −0.341469 | − | 0.591441i | ||||
\(377\) | 26.4853 | 1.36406 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.27208 | 0.0653423 | 0.0326711 | − | 0.999466i | \(-0.489599\pi\) | ||||
0.0326711 | + | 0.999466i | \(0.489599\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.24264 | + | 7.34847i | −0.217072 | + | 0.375980i | ||||
\(383\) | 24.2132 | 1.23724 | 0.618618 | − | 0.785692i | \(-0.287693\pi\) | ||||
0.618618 | + | 0.785692i | \(0.287693\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.51472 | 0.229793 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.24264 | + | 10.8126i | 0.316922 | + | 0.548925i | ||||
\(389\) | −10.2426 | −0.519322 | −0.259661 | − | 0.965700i | \(-0.583611\pi\) | ||||
−0.259661 | + | 0.965700i | \(0.583611\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 5.00000 | + | 4.89898i | 0.252538 | + | 0.247436i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −8.48528 | − | 14.6969i | −0.427482 | − | 0.740421i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.1213 | − | 17.5306i | 0.507975 | − | 0.879838i | −0.491983 | − | 0.870605i | \(-0.663728\pi\) |
0.999957 | − | 0.00923278i | \(-0.00293893\pi\) | |||||||
\(398\) | −7.37868 | + | 12.7802i | −0.369860 | + | 0.640616i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.50000 | + | 4.33013i | 0.125000 | + | 0.216506i | ||||
\(401\) | −29.4853 | −1.47242 | −0.736212 | − | 0.676751i | \(-0.763388\pi\) | ||||
−0.736212 | + | 0.676751i | \(0.763388\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.72792 | 0.235515 | ||||||||
\(404\) | 3.87868 | − | 6.71807i | 0.192972 | − | 0.334236i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.24264 | + | 10.3923i | −0.210559 | + | 0.515761i | ||||
\(407\) | −8.48528 | + | 14.6969i | −0.420600 | + | 0.728500i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.5000 | + | 30.3109i | −0.865319 | + | 1.49878i | 0.00141047 | + | 0.999999i | \(0.499551\pi\) |
−0.866730 | + | 0.498778i | \(0.833782\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.378680 | + | 0.655892i | −0.0186562 | + | 0.0323135i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −6.24264 | −0.306071 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 26.4853 | 1.29544 | ||||||||
\(419\) | −3.87868 | − | 6.71807i | −0.189486 | − | 0.328199i | 0.755593 | − | 0.655041i | \(-0.227349\pi\) |
−0.945079 | + | 0.326842i | \(0.894015\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.12132 | − | 12.3345i | 0.347072 | − | 0.601146i | −0.638656 | − | 0.769492i | \(-0.720509\pi\) |
0.985728 | + | 0.168346i | \(0.0538426\pi\) | |||||||
\(422\) | −3.24264 | + | 5.61642i | −0.157849 | + | 0.273403i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.12132 | − | 3.67423i | −0.103020 | − | 0.178437i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −16.3640 | + | 2.23936i | −0.791908 | + | 0.108370i | ||||
\(428\) | −1.24264 | − | 2.15232i | −0.0600653 | − | 0.104036i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −18.6213 | − | 32.2531i | −0.896957 | − | 1.55358i | −0.831363 | − | 0.555729i | \(-0.812439\pi\) |
−0.0655943 | − | 0.997846i | \(-0.520894\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.97056 | 0.190813 | 0.0954065 | − | 0.995438i | \(-0.469585\pi\) | ||||
0.0954065 | + | 0.995438i | \(0.469585\pi\) | |||||||
\(434\) | −0.757359 | + | 1.85514i | −0.0363544 | + | 0.0890498i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.24264 | −0.107403 | ||||||||
\(437\) | 22.6066 | − | 39.1558i | 1.08142 | − | 1.87308i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.86396 | − | 10.1567i | −0.279872 | − | 0.484752i | 0.691481 | − | 0.722395i | \(-0.256959\pi\) |
−0.971353 | + | 0.237643i | \(0.923625\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.75736 | + | 8.23999i | 0.226029 | + | 0.391494i | 0.956628 | − | 0.291313i | \(-0.0940923\pi\) |
−0.730599 | + | 0.682807i | \(0.760759\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −11.7279 | −0.555333 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.00000 | − | 2.44949i | 0.0472456 | − | 0.115728i | ||||
\(449\) | 4.97056 | 0.234575 | 0.117288 | − | 0.993098i | \(-0.462580\pi\) | ||||
0.117288 | + | 0.993098i | \(0.462580\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.6360 | + | 20.1542i | 0.547920 | + | 0.949025i | ||||
\(452\) | 20.4853 | 0.963547 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −13.2426 | − | 22.9369i | −0.621508 | − | 1.07648i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.75736 | − | 9.97204i | −0.269318 | − | 0.466472i | 0.699368 | − | 0.714762i | \(-0.253465\pi\) |
−0.968686 | + | 0.248290i | \(0.920132\pi\) | |||||||
\(458\) | 12.4853 | + | 21.6251i | 0.583399 | + | 1.01048i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 17.1213 | − | 29.6550i | 0.797419 | − | 1.38117i | −0.123872 | − | 0.992298i | \(-0.539531\pi\) |
0.921291 | − | 0.388873i | \(-0.127135\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.37868 | + | 7.58410i | 0.203495 | + | 0.352463i | 0.949652 | − | 0.313307i | \(-0.101437\pi\) |
−0.746158 | + | 0.665769i | \(0.768103\pi\) | |||||||
\(464\) | 4.24264 | 0.196960 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 20.4853 | 0.948962 | ||||||||
\(467\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.3640 | − | 17.2335i | −0.617090 | − | 0.795768i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −13.7574 | + | 23.8284i | −0.632564 | + | 1.09563i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 15.6066 | − | 27.0314i | 0.716080 | − | 1.24029i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.86396 | + | 3.22848i | −0.0852556 | + | 0.147667i | ||||
\(479\) | 13.2426 | 0.605072 | 0.302536 | − | 0.953138i | \(-0.402167\pi\) | ||||
0.302536 | + | 0.953138i | \(0.402167\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −24.9706 | −1.13856 | ||||||||
\(482\) | 4.25736 | + | 7.37396i | 0.193917 | + | 0.335875i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.50000 | + | 6.06218i | −0.159091 | + | 0.275554i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.37868 | + | 2.38794i | 0.0624739 | + | 0.108208i | 0.895571 | − | 0.444919i | \(-0.146768\pi\) |
−0.833097 | + | 0.553127i | \(0.813434\pi\) | |||||||
\(488\) | 3.12132 | + | 5.40629i | 0.141296 | + | 0.244731i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 3.36396 | + | 5.82655i | 0.151813 | + | 0.262949i | 0.931894 | − | 0.362730i | \(-0.118155\pi\) |
−0.780081 | + | 0.625679i | \(0.784822\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 19.4853 | + | 33.7495i | 0.876684 | + | 1.51846i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.757359 | 0.0340064 | ||||||||
\(497\) | 7.24264 | − | 17.7408i | 0.324877 | − | 0.795782i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.7279 | −0.480248 | −0.240124 | − | 0.970742i | \(-0.577188\pi\) | ||||
−0.240124 | + | 0.970742i | \(0.577188\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.36396 | − | 16.2189i | −0.417934 | − | 0.723883i | ||||
\(503\) | 24.2132 | 1.07961 | 0.539807 | − | 0.841789i | \(-0.318497\pi\) | ||||
0.539807 | + | 0.841789i | \(0.318497\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 15.3640 | + | 26.6112i | 0.683011 | + | 1.18301i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.37868 | + | 5.85204i | −0.149905 | + | 0.259643i | ||||
\(509\) | −7.75736 | −0.343839 | −0.171919 | − | 0.985111i | \(-0.554997\pi\) | ||||
−0.171919 | + | 0.985111i | \(0.554997\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 18.3492 | − | 2.51104i | 0.811723 | − | 0.111082i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −2.74264 | − | 4.75039i | −0.120973 | − | 0.209531i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −28.0919 | − | 48.6566i | −1.23548 | − | 2.13991i | ||||
\(518\) | 4.00000 | − | 9.79796i | 0.175750 | − | 0.430498i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 8.22792 | + | 14.2512i | 0.360472 | + | 0.624355i | 0.988039 | − | 0.154207i | \(-0.0492824\pi\) |
−0.627567 | + | 0.778563i | \(0.715949\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 10.1213 | − | 17.5306i | 0.442574 | − | 0.766561i | −0.555305 | − | 0.831647i | \(-0.687399\pi\) |
0.997880 | + | 0.0650852i | \(0.0207319\pi\) | |||||||
\(524\) | −3.87868 | + | 6.71807i | −0.169441 | + | 0.293480i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.4853 | − | 19.8931i | −0.500782 | − | 0.867380i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 29.4558 | 1.28069 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −16.3640 | + | 2.23936i | −0.709468 | + | 0.0970884i | ||||
\(533\) | −17.1213 | + | 29.6550i | −0.741607 | + | 1.28450i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −4.12132 | + | 7.13834i | −0.178014 | + | 0.308329i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 5.48528 | − | 9.50079i | 0.236487 | − | 0.409608i | ||||
\(539\) | 21.2132 | + | 20.7846i | 0.913717 | + | 0.895257i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.48528 | − | 12.9649i | 0.321817 | − | 0.557404i | −0.659046 | − | 0.752103i | \(-0.729040\pi\) |
0.980863 | + | 0.194699i | \(0.0623730\pi\) | |||||||
\(542\) | 12.4853 | 0.536289 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.24264 | − | 5.61642i | 0.138645 | − | 0.240141i | −0.788339 | − | 0.615241i | \(-0.789059\pi\) |
0.926984 | + | 0.375101i | \(0.122392\pi\) | |||||||
\(548\) | −9.98528 | + | 17.2950i | −0.426550 | + | 0.738806i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 10.6066 | + | 18.3712i | 0.452267 | + | 0.783349i | ||||
\(551\) | −13.2426 | − | 22.9369i | −0.564155 | − | 0.977146i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −24.2279 | + | 3.31552i | −1.03028 | + | 0.140990i | ||||
\(554\) | −9.60660 | − | 16.6391i | −0.408145 | − | 0.706929i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.72792 | −0.200509 | ||||||||
\(557\) | −20.4853 | − | 35.4815i | −0.867989 | − | 1.50340i | −0.864048 | − | 0.503409i | \(-0.832079\pi\) |
−0.00394110 | − | 0.999992i | \(-0.501254\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −40.4853 | −1.71234 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 22.4558 | 0.947243 | ||||||||
\(563\) | 9.36396 | − | 16.2189i | 0.394644 | − | 0.683543i | −0.598412 | − | 0.801189i | \(-0.704201\pi\) |
0.993056 | + | 0.117645i | \(0.0375346\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −24.9706 | −1.04959 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −7.24264 | −0.303894 | ||||||||
\(569\) | 12.4706 | + | 21.5996i | 0.522793 | + | 0.905504i | 0.999648 | + | 0.0265224i | \(0.00844333\pi\) |
−0.476855 | + | 0.878982i | \(0.658223\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.4853 | − | 18.1610i | 0.438795 | − | 0.760016i | −0.558801 | − | 0.829301i | \(-0.688739\pi\) |
0.997597 | + | 0.0692856i | \(0.0220720\pi\) | |||||||
\(572\) | −26.4853 | −1.10741 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −8.89340 | − | 11.4685i | −0.371203 | − | 0.478684i | ||||
\(575\) | 36.2132 | 1.51019 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −17.9706 | − | 31.1259i | −0.748124 | − | 1.29579i | −0.948721 | − | 0.316115i | \(-0.897621\pi\) |
0.200596 | − | 0.979674i | \(-0.435712\pi\) | |||||||
\(578\) | 17.0000 | 0.707107 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.5772 | − | 16.2189i | −0.521789 | − | 0.672872i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.00000 | − | 15.5885i | −0.372742 | − | 0.645608i | ||||
\(584\) | −3.50000 | − | 6.06218i | −0.144831 | − | 0.250855i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.48528 | − | 9.50079i | 0.226595 | − | 0.392474i | ||||
\(587\) | −1.60660 | + | 2.78272i | −0.0663115 | + | 0.114855i | −0.897275 | − | 0.441472i | \(-0.854456\pi\) |
0.830963 | + | 0.556327i | \(0.187790\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.36396 | − | 4.09450i | −0.0974053 | − | 0.168711i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.00000 | −0.164399 | ||||||||
\(593\) | −2.74264 | + | 4.75039i | −0.112627 | + | 0.195075i | −0.916829 | − | 0.399281i | \(-0.869260\pi\) |
0.804202 | + | 0.594356i | \(0.202593\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 8.12132 | − | 14.0665i | 0.332662 | − | 0.576188i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −22.6066 | + | 39.1558i | −0.924453 | + | 1.60120i | ||||
\(599\) | 11.4853 | − | 19.8931i | 0.469276 | − | 0.812810i | −0.530107 | − | 0.847931i | \(-0.677848\pi\) |
0.999383 | + | 0.0351210i | \(0.0111817\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.98528 | − | 15.5630i | 0.366517 | − | 0.634827i | −0.622501 | − | 0.782619i | \(-0.713883\pi\) |
0.989018 | + | 0.147792i | \(0.0472167\pi\) | |||||||
\(602\) | 6.48528 | − | 15.8856i | 0.264320 | − | 0.647450i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.37868 | − | 2.38794i | 0.0560977 | − | 0.0971640i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −38.9706 | −1.58177 | −0.790883 | − | 0.611967i | \(-0.790378\pi\) | ||||
−0.790883 | + | 0.611967i | \(0.790378\pi\) | |||||||
\(608\) | 3.12132 | + | 5.40629i | 0.126586 | + | 0.219254i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 41.3345 | − | 71.5935i | 1.67222 | − | 2.89636i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 18.9706 | + | 32.8580i | 0.766214 | + | 1.32712i | 0.939602 | + | 0.342268i | \(0.111195\pi\) |
−0.173389 | + | 0.984853i | \(0.555472\pi\) | |||||||
\(614\) | −14.0000 | − | 24.2487i | −0.564994 | − | 0.978598i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.24264 | − | 10.3923i | 0.170941 | − | 0.418718i | ||||
\(617\) | −14.2279 | − | 24.6435i | −0.572795 | − | 0.992109i | −0.996277 | − | 0.0862052i | \(-0.972526\pi\) |
0.423483 | − | 0.905904i | \(-0.360807\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.51472 | −0.0608817 | −0.0304408 | − | 0.999537i | \(-0.509691\pi\) | ||||
−0.0304408 | + | 0.999537i | \(0.509691\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.9706 | −0.439879 | ||||||||
\(623\) | 8.89340 | + | 11.4685i | 0.356306 | + | 0.459474i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 25.0000 | 1.00000 | ||||||||
\(626\) | −8.98528 | + | 15.5630i | −0.359124 | + | 0.622021i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −7.00000 | − | 12.1244i | −0.279330 | − | 0.483814i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −24.4853 | −0.974744 | −0.487372 | − | 0.873195i | \(-0.662044\pi\) | ||||
−0.487372 | + | 0.873195i | \(0.662044\pi\) | |||||||
\(632\) | 4.62132 | + | 8.00436i | 0.183826 | + | 0.318396i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 8.48528 | − | 14.6969i | 0.336994 | − | 0.583690i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −10.8787 | + | 42.3227i | −0.431029 | + | 1.67689i | ||||
\(638\) | 18.0000 | 0.712627 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.45584 | 0.175995 | 0.0879976 | − | 0.996121i | \(-0.471953\pi\) | ||||
0.0879976 | + | 0.996121i | \(0.471953\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 23.3640 | + | 40.4676i | 0.921385 | + | 1.59589i | 0.797275 | + | 0.603617i | \(0.206274\pi\) |
0.124110 | + | 0.992268i | \(0.460392\pi\) | |||||||
\(644\) | −11.7426 | − | 15.1427i | −0.462725 | − | 0.596706i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1.13604 | + | 1.96768i | 0.0446623 | + | 0.0773574i | 0.887492 | − | 0.460822i | \(-0.152445\pi\) |
−0.842830 | + | 0.538180i | \(0.819112\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −15.6066 | + | 27.0314i | −0.612141 | + | 1.06026i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.87868 | + | 10.1822i | 0.230227 | + | 0.398765i | ||||
\(653\) | −24.0000 | −0.939193 | −0.469596 | − | 0.882881i | \(-0.655601\pi\) | ||||
−0.469596 | + | 0.882881i | \(0.655601\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −2.74264 | + | 4.75039i | −0.107082 | + | 0.185472i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 21.4706 | + | 27.6873i | 0.837010 | + | 1.07936i | ||||
\(659\) | −19.6066 | + | 33.9596i | −0.763765 | + | 1.32288i | 0.177132 | + | 0.984187i | \(0.443318\pi\) |
−0.940897 | + | 0.338692i | \(0.890015\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.0919 | − | 36.5322i | 0.820379 | − | 1.42094i | −0.0850210 | − | 0.996379i | \(-0.527096\pi\) |
0.905400 | − | 0.424559i | \(-0.139571\pi\) | |||||||
\(662\) | −9.24264 | + | 16.0087i | −0.359225 | + | 0.622197i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.87868 | + | 6.71807i | −0.150522 | + | 0.260712i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 15.3640 | − | 26.6112i | 0.594895 | − | 1.03039i | ||||
\(668\) | −24.2132 | −0.936837 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 13.2426 | + | 22.9369i | 0.511226 | + | 0.885470i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.7426 | − | 23.8030i | 0.529740 | − | 0.917536i | −0.469658 | − | 0.882848i | \(-0.655623\pi\) |
0.999398 | − | 0.0346881i | \(-0.0110438\pi\) | |||||||
\(674\) | 2.24264 | − | 3.88437i | 0.0863833 | − | 0.149620i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.9853 | − | 22.4912i | −0.499434 | − | 0.865045i | ||||
\(677\) | 17.1213 | + | 29.6550i | 0.658026 | + | 1.13973i | 0.981126 | + | 0.193369i | \(0.0619416\pi\) |
−0.323100 | + | 0.946365i | \(0.604725\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −20.2426 | − | 26.1039i | −0.776841 | − | 1.00177i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.21320 | 0.123040 | ||||||||
\(683\) | 20.8492 | + | 36.1119i | 0.797774 | + | 1.38179i | 0.921063 | + | 0.389414i | \(0.127323\pi\) |
−0.123289 | + | 0.992371i | \(0.539344\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −14.8640 | − | 11.0482i | −0.567509 | − | 0.421822i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −6.48528 | −0.247249 | ||||||||
\(689\) | 13.2426 | − | 22.9369i | 0.504504 | − | 0.873827i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.12132 | − | 5.40629i | −0.118741 | − | 0.205665i | 0.800528 | − | 0.599295i | \(-0.204552\pi\) |
−0.919269 | + | 0.393630i | \(0.871219\pi\) | |||||||
\(692\) | 10.9706 | 0.417038 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.72792 | −0.255388 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −24.9706 | −0.945150 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.10660 | − | 10.4539i | −0.306401 | − | 0.395118i | ||||
\(701\) | −13.7574 | −0.519608 | −0.259804 | − | 0.965661i | \(-0.583658\pi\) | ||||
−0.259804 | + | 0.965661i | \(0.583658\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 12.4853 | + | 21.6251i | 0.470891 | + | 0.815608i | ||||
\(704\) | −4.24264 | −0.159901 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.5000 | − | 18.1865i | −0.395173 | − | 0.684459i | ||||
\(707\) | −7.75736 | + | 19.0016i | −0.291746 | + | 0.714628i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.8492 | − | 22.2555i | −0.482563 | − | 0.835824i | 0.517236 | − | 0.855843i | \(-0.326961\pi\) |
−0.999800 | + | 0.0200183i | \(0.993628\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.74264 | − | 4.75039i | 0.102785 | − | 0.178029i | ||||
\(713\) | 2.74264 | − | 4.75039i | 0.102713 | − | 0.177904i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 16.2426 | 0.607016 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 10.7574 | 0.401461 | ||||||||
\(719\) | −1.13604 | + | 1.96768i | −0.0423671 | + | 0.0733820i | −0.886431 | − | 0.462860i | \(-0.846823\pi\) |
0.844064 | + | 0.536242i | \(0.180157\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.757359 | − | 1.85514i | 0.0282055 | − | 0.0690892i | ||||
\(722\) | 9.98528 | − | 17.2950i | 0.371614 | − | 0.643654i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 10.1213 | − | 17.5306i | 0.376156 | − | 0.651521i | ||||
\(725\) | 10.6066 | − | 18.3712i | 0.393919 | − | 0.682288i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 12.8640 | − | 22.2810i | 0.477098 | − | 0.826358i | −0.522558 | − | 0.852604i | \(-0.675022\pi\) |
0.999656 | + | 0.0262462i | \(0.00835537\pi\) | |||||||
\(728\) | 16.3640 | − | 2.23936i | 0.606489 | − | 0.0829961i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −38.9706 | −1.43941 | −0.719705 | − | 0.694280i | \(-0.755723\pi\) | ||||
−0.719705 | + | 0.694280i | \(0.755723\pi\) | |||||||
\(734\) | 5.86396 | + | 10.1567i | 0.216443 | + | 0.374890i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.62132 | + | 6.27231i | −0.133484 | + | 0.231200i | ||||
\(737\) | −17.4853 | + | 30.2854i | −0.644079 | + | 1.11558i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.24264 | − | 9.08052i | −0.192854 | − | 0.334032i | 0.753341 | − | 0.657630i | \(-0.228441\pi\) |
−0.946195 | + | 0.323598i | \(0.895108\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.87868 | + | 8.87039i | 0.252524 | + | 0.325642i | ||||
\(743\) | 17.3787 | + | 30.1008i | 0.637562 | + | 1.10429i | 0.985966 | + | 0.166945i | \(0.0533903\pi\) |
−0.348404 | + | 0.937344i | \(0.613276\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −3.60660 | − | 6.24682i | −0.132047 | − | 0.228712i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.02944 | + | 5.19615i | 0.147232 | + | 0.189863i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.2426 | −0.629193 | −0.314596 | − | 0.949226i | \(-0.601869\pi\) | ||||
−0.314596 | + | 0.949226i | \(0.601869\pi\) | |||||||
\(752\) | 6.62132 | − | 11.4685i | 0.241455 | − | 0.418212i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 13.2426 | + | 22.9369i | 0.482269 | + | 0.835314i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.9706 | 0.471423 | 0.235712 | − | 0.971823i | \(-0.424258\pi\) | ||||
0.235712 | + | 0.971823i | \(0.424258\pi\) | |||||||
\(758\) | 0.636039 | + | 1.10165i | 0.0231020 | + | 0.0400138i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −21.0000 | −0.761249 | −0.380625 | − | 0.924730i | \(-0.624291\pi\) | ||||
−0.380625 | + | 0.924730i | \(0.624291\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.87868 | − | 0.804479i | 0.212822 | − | 0.0291241i | ||||
\(764\) | −8.48528 | −0.306987 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.1066 | + | 20.9692i | 0.437429 | + | 0.757650i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6.24264 | + | 10.8126i | 0.225115 | + | 0.389911i | 0.956354 | − | 0.292210i | \(-0.0943908\pi\) |
−0.731239 | + | 0.682122i | \(0.761057\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.25736 | + | 3.90986i | 0.0812441 | + | 0.140719i | ||||
\(773\) | −22.6066 | − | 39.1558i | −0.813103 | − | 1.40834i | −0.910682 | − | 0.413108i | \(-0.864443\pi\) |
0.0975792 | − | 0.995228i | \(-0.468890\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.89340 | − | 3.27946i | 0.0680129 | − | 0.117802i | ||||
\(776\) | −6.24264 | + | 10.8126i | −0.224098 | + | 0.388149i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.12132 | − | 8.87039i | −0.183608 | − | 0.318019i | ||||
\(779\) | 34.2426 | 1.22687 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −30.7279 | −1.09953 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.74264 | + | 6.77962i | −0.0622372 | + | 0.242129i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 15.6066 | − | 27.0314i | 0.556315 | − | 0.963566i | −0.441485 | − | 0.897269i | \(-0.645548\pi\) |
0.997800 | − | 0.0662975i | \(-0.0211186\pi\) | |||||||
\(788\) | 8.48528 | − | 14.6969i | 0.302276 | − | 0.523557i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −53.6985 | + | 7.34847i | −1.90930 | + | 0.261281i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −19.4853 | + | 33.7495i | −0.691943 | + | 1.19848i | ||||
\(794\) | 20.2426 | 0.718384 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −14.7574 | −0.523061 | ||||||||
\(797\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −2.50000 | + | 4.33013i | −0.0883883 | + | 0.153093i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −14.7426 | − | 25.5350i | −0.520581 | − | 0.901672i | ||||
\(803\) | −14.8492 | − | 25.7196i | −0.524018 | − | 0.907626i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.36396 | + | 4.09450i | 0.0832670 | + | 0.144223i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 7.75736 | 0.272903 | ||||||||
\(809\) | −4.50000 | − | 7.79423i | −0.158212 | − | 0.274030i | 0.776012 | − | 0.630718i | \(-0.217239\pi\) |
−0.934224 | + | 0.356687i | \(0.883906\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −23.4558 | −0.823646 | −0.411823 | − | 0.911264i | \(-0.635108\pi\) | ||||
−0.411823 | + | 0.911264i | \(0.635108\pi\) | |||||||
\(812\) | −11.1213 | + | 1.52192i | −0.390282 | + | 0.0534088i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −16.9706 | −0.594818 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 20.2426 | + | 35.0613i | 0.708200 | + | 1.22664i | ||||
\(818\) | −35.0000 | −1.22375 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −16.0919 | − | 27.8720i | −0.561611 | − | 0.972738i | −0.997356 | − | 0.0726682i | \(-0.976849\pi\) |
0.435746 | − | 0.900070i | \(-0.356485\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.3492 | + | 35.2459i | −0.709330 | + | 1.22860i | 0.255776 | + | 0.966736i | \(0.417669\pi\) |
−0.965106 | + | 0.261860i | \(0.915664\pi\) | |||||||
\(824\) | −0.757359 | −0.0263839 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −16.9706 | −0.590124 | −0.295062 | − | 0.955478i | \(-0.595340\pi\) | ||||
−0.295062 | + | 0.955478i | \(0.595340\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 24.9706 | + | 43.2503i | 0.867263 | + | 1.50214i | 0.864782 | + | 0.502148i | \(0.167457\pi\) |
0.00248151 | + | 0.999997i | \(0.499210\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −3.12132 | − | 5.40629i | −0.108212 | − | 0.187429i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 13.2426 | + | 22.9369i | 0.458006 | + | 0.793290i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 3.87868 | − | 6.71807i | 0.133987 | − | 0.232072i | ||||
\(839\) | 7.75736 | − | 13.4361i | 0.267814 | − | 0.463867i | −0.700483 | − | 0.713669i | \(-0.747032\pi\) |
0.968297 | + | 0.249802i | \(0.0803655\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.50000 | + | 9.52628i | 0.189655 | + | 0.328492i | ||||
\(842\) | 14.2426 | 0.490834 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.48528 | −0.223233 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.00000 | − | 17.1464i | 0.240523 | − | 0.589158i | ||||
\(848\) | 2.12132 | − | 3.67423i | 0.0728464 | − | 0.126174i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −14.4853 | + | 25.0892i | −0.496549 | + | 0.860048i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −14.0919 | + | 24.4079i | −0.482497 | + | 0.835709i | −0.999798 | − | 0.0200943i | \(-0.993603\pi\) |
0.517301 | + | 0.855803i | \(0.326937\pi\) | |||||||
\(854\) | −10.1213 | − | 13.0519i | −0.346344 | − | 0.446628i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.24264 | − | 2.15232i | 0.0424726 | − | 0.0735647i | ||||
\(857\) | 5.48528 | 0.187374 | 0.0936868 | − | 0.995602i | \(-0.470135\pi\) | ||||
0.0936868 | + | 0.995602i | \(0.470135\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 43.6985 | 1.49097 | 0.745487 | − | 0.666521i | \(-0.232217\pi\) | ||||
0.745487 | + | 0.666521i | \(0.232217\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 18.6213 | − | 32.2531i | 0.634245 | − | 1.09854i | ||||
\(863\) | −0.106602 | + | 0.184640i | −0.00362876 | + | 0.00628520i | −0.867834 | − | 0.496854i | \(-0.834488\pi\) |
0.864205 | + | 0.503139i | \(0.167822\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 1.98528 | + | 3.43861i | 0.0674626 | + | 0.116849i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −1.98528 | + | 0.271680i | −0.0673848 | + | 0.00922140i | ||||
\(869\) | 19.6066 | + | 33.9596i | 0.665108 | + | 1.15200i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −51.4558 | −1.74351 | ||||||||
\(872\) | −1.12132 | − | 1.94218i | −0.0379727 | − | 0.0657706i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 45.2132 | 1.52936 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 25.6985 | 0.867776 | 0.433888 | − | 0.900967i | \(-0.357141\pi\) | ||||
0.433888 | + | 0.900967i | \(0.357141\pi\) | |||||||
\(878\) | 5.86396 | − | 10.1567i | 0.197899 | − | 0.342771i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 36.5147 | 1.23021 | 0.615106 | − | 0.788444i | \(-0.289113\pi\) | ||||
0.615106 | + | 0.788444i | \(0.289113\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 49.6985 | 1.67249 | 0.836244 | − | 0.548358i | \(-0.184747\pi\) | ||||
0.836244 | + | 0.548358i | \(0.184747\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.75736 | + | 8.23999i | −0.159827 | + | 0.276828i | ||||
\(887\) | −39.7279 | −1.33393 | −0.666967 | − | 0.745088i | \(-0.732408\pi\) | ||||
−0.666967 | + | 0.745088i | \(0.732408\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.75736 | − | 16.5521i | 0.226635 | − | 0.555139i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −5.86396 | − | 10.1567i | −0.196340 | − | 0.340071i | ||||
\(893\) | −82.6690 | −2.76641 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2.62132 | − | 0.358719i | 0.0875722 | − | 0.0119840i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 2.48528 | + | 4.30463i | 0.0829349 | + | 0.143647i | ||||
\(899\) | −1.60660 | − | 2.78272i | −0.0535832 | − | 0.0928088i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −11.6360 | + | 20.1542i | −0.387438 | + | 0.671062i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.2426 | + | 17.7408i | 0.340665 | + | 0.590049i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −37.9411 | −1.25981 | −0.629907 | − | 0.776670i | \(-0.716907\pi\) | ||||
−0.629907 | + | 0.776670i | \(0.716907\pi\) | |||||||
\(908\) | 13.2426 | − | 22.9369i | 0.439472 | − | 0.761189i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −7.13604 | + | 12.3600i | −0.236428 | + | 0.409504i | −0.959687 | − | 0.281072i | \(-0.909310\pi\) |
0.723259 | + | 0.690577i | \(0.242643\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −16.4558 | + | 28.5024i | −0.544609 | + | 0.943290i | ||||
\(914\) | 5.75736 | − | 9.97204i | 0.190437 | − | 0.329846i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −12.4853 | + | 21.6251i | −0.412525 | + | 0.714515i | ||||
\(917\) | 7.75736 | − | 19.0016i | 0.256171 | − | 0.627487i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.7279 | + | 28.9736i | −0.551803 | + | 0.955751i | 0.446341 | + | 0.894863i | \(0.352727\pi\) |
−0.998145 | + | 0.0608884i | \(0.980607\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 34.2426 | 1.12772 | ||||||||
\(923\) | −22.6066 | − | 39.1558i | −0.744105 | − | 1.28883i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10.0000 | + | 17.3205i | −0.328798 | + | 0.569495i | ||||
\(926\) | −4.37868 | + | 7.58410i | −0.143892 | + | 0.249229i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.12132 | + | 3.67423i | 0.0696358 | + | 0.120613i | ||||
\(929\) | −5.01472 | − | 8.68575i | −0.164528 | − | 0.284970i | 0.771960 | − | 0.635671i | \(-0.219277\pi\) |
−0.936487 | + | 0.350701i | \(0.885943\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 42.0919 | − | 11.7401i | 1.37951 | − | 0.384768i | ||||
\(932\) | 10.2426 | + | 17.7408i | 0.335509 | + | 0.581118i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 30.4558 | 0.994949 | 0.497475 | − | 0.867479i | \(-0.334261\pi\) | ||||
0.497475 | + | 0.867479i | \(0.334261\pi\) | |||||||
\(938\) | 8.24264 | − | 20.1903i | 0.269132 | − | 0.659235i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −20.3345 | + | 35.2204i | −0.662887 | + | 1.14815i | 0.316967 | + | 0.948437i | \(0.397335\pi\) |
−0.979854 | + | 0.199717i | \(0.935998\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 19.8640 | + | 34.4054i | 0.646860 | + | 1.12039i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −27.5147 | −0.894581 | ||||||||
\(947\) | −10.7574 | − | 18.6323i | −0.349567 | − | 0.605468i | 0.636605 | − | 0.771190i | \(-0.280338\pi\) |
−0.986173 | + | 0.165722i | \(0.947005\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 21.8492 | − | 37.8440i | 0.709256 | − | 1.22847i | ||||
\(950\) | 31.2132 | 1.01269 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.51472 | 0.211032 | 0.105516 | − | 0.994418i | \(-0.466351\pi\) | ||||
0.105516 | + | 0.994418i | \(0.466351\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −3.72792 | −0.120570 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 6.62132 | + | 11.4685i | 0.213925 | + | 0.370529i | ||||
\(959\) | 19.9706 | − | 48.9177i | 0.644883 | − | 1.57963i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.2132 | + | 26.3500i | 0.490748 | + | 0.850001i | ||||
\(962\) | −12.4853 | − | 21.6251i | −0.402542 | − | 0.697223i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −4.25736 | + | 7.37396i | −0.137120 | + | 0.237499i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.34924 | + | 5.80106i | 0.107704 | + | 0.186549i | 0.914840 | − | 0.403817i | \(-0.132317\pi\) |
−0.807136 | + | 0.590366i | \(0.798983\pi\) | |||||||
\(968\) | −7.00000 | −0.224989 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −13.2426 | + | 22.9369i | −0.424977 | + | 0.736081i | −0.996418 | − | 0.0845617i | \(-0.973051\pi\) |
0.571442 | + | 0.820643i | \(0.306384\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 12.3934 | − | 1.69600i | 0.397314 | − | 0.0543712i | ||||
\(974\) | −1.37868 | + | 2.38794i | −0.0441757 | + | 0.0765146i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.12132 | + | 5.40629i | −0.0999110 | + | 0.173051i | ||||
\(977\) | −6.98528 | + | 12.0989i | −0.223479 | + | 0.387077i | −0.955862 | − | 0.293816i | \(-0.905075\pi\) |
0.732383 | + | 0.680893i | \(0.238408\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 11.6360 | − | 20.1542i | 0.371889 | − | 0.644131i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.36396 | + | 5.82655i | −0.107348 | + | 0.185933i | ||||
\(983\) | 15.5147 | 0.494843 | 0.247421 | − | 0.968908i | \(-0.420417\pi\) | ||||
0.247421 | + | 0.968908i | \(0.420417\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −19.4853 | + | 33.7495i | −0.619909 | + | 1.07371i | ||||
\(989\) | −23.4853 | + | 40.6777i | −0.746789 | + | 1.29348i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −25.1066 | − | 43.4859i | −0.797537 | − | 1.38138i | −0.921215 | − | 0.389053i | \(-0.872802\pi\) |
0.123678 | − | 0.992322i | \(-0.460531\pi\) | |||||||
\(992\) | 0.378680 | + | 0.655892i | 0.0120231 | + | 0.0208246i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 18.9853 | − | 2.59808i | 0.602177 | − | 0.0824060i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.0000 | 0.443384 | 0.221692 | − | 0.975117i | \(-0.428842\pi\) | ||||
0.221692 | + | 0.975117i | \(0.428842\pi\) | |||||||
\(998\) | −5.36396 | − | 9.29065i | −0.169793 | − | 0.294090i | ||||
\(999\) | 0 | 0 |
(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 | 1134.2.h.s.541.1 | 4 | ||
3.2 | odd | 2 | 1134.2.h.r.541.1 | 4 | |||
7.4 | even | 3 | 1134.2.e.r.865.2 | 4 | |||
9.2 | odd | 6 | 1134.2.g.i.163.1 | ✓ | 4 | ||
9.4 | even | 3 | 1134.2.e.r.919.2 | 4 | |||
9.5 | odd | 6 | 1134.2.e.s.919.2 | 4 | |||
9.7 | even | 3 | 1134.2.g.j.163.1 | yes | 4 | ||
21.11 | odd | 6 | 1134.2.e.s.865.2 | 4 | |||
63.2 | odd | 6 | 7938.2.a.bq.1.2 | 2 | |||
63.4 | even | 3 | inner | 1134.2.h.s.109.2 | 4 | ||
63.11 | odd | 6 | 1134.2.g.i.487.1 | yes | 4 | ||
63.16 | even | 3 | 7938.2.a.bk.1.1 | 2 | |||
63.25 | even | 3 | 1134.2.g.j.487.1 | yes | 4 | ||
63.32 | odd | 6 | 1134.2.h.r.109.2 | 4 | |||
63.47 | even | 6 | 7938.2.a.bp.1.2 | 2 | |||
63.61 | odd | 6 | 7938.2.a.bj.1.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1134.2.e.r.865.2 | 4 | 7.4 | even | 3 | |||
1134.2.e.r.919.2 | 4 | 9.4 | even | 3 | |||
1134.2.e.s.865.2 | 4 | 21.11 | odd | 6 | |||
1134.2.e.s.919.2 | 4 | 9.5 | odd | 6 | |||
1134.2.g.i.163.1 | ✓ | 4 | 9.2 | odd | 6 | ||
1134.2.g.i.487.1 | yes | 4 | 63.11 | odd | 6 | ||
1134.2.g.j.163.1 | yes | 4 | 9.7 | even | 3 | ||
1134.2.g.j.487.1 | yes | 4 | 63.25 | even | 3 | ||
1134.2.h.r.109.2 | 4 | 63.32 | odd | 6 | |||
1134.2.h.r.541.1 | 4 | 3.2 | odd | 2 | |||
1134.2.h.s.109.2 | 4 | 63.4 | even | 3 | inner | ||
1134.2.h.s.541.1 | 4 | 1.1 | even | 1 | trivial | ||
7938.2.a.bj.1.1 | 2 | 63.61 | odd | 6 | |||
7938.2.a.bk.1.1 | 2 | 63.16 | even | 3 | |||
7938.2.a.bp.1.2 | 2 | 63.47 | even | 6 | |||
7938.2.a.bq.1.2 | 2 | 63.2 | odd | 6 |