Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(163,1134)]
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([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.163");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.g (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: | \(9.05503558921\) |
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 | 163.1 | ||
Root | \(0.707107 + 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.163 |
Dual form | 1134.2.g.i.487.1 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.62132 | + | 0.358719i | −0.990766 | + | 0.135583i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.12132 | − | 3.67423i | −0.639602 | − | 1.10782i | −0.985520 | − | 0.169559i | \(-0.945766\pi\) |
0.345918 | − | 0.938265i | \(-0.387568\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.24264 | 1.73140 | 0.865699 | − | 0.500566i | \(-0.166875\pi\) | ||||
0.865699 | + | 0.500566i | \(0.166875\pi\) | |||||||
\(14\) | 1.00000 | − | 2.44949i | 0.267261 | − | 0.654654i | ||||
\(15\) | 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 | ||||||||
\(22\) | 4.24264 | 0.904534 | ||||||||
\(23\) | −3.62132 | + | 6.27231i | −0.755097 | + | 1.30787i | 0.190228 | + | 0.981740i | \(0.439077\pi\) |
−0.945326 | + | 0.326127i | \(0.894256\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.50000 | + | 4.33013i | 0.500000 | + | 0.866025i | ||||
\(26\) | −3.12132 | + | 5.40629i | −0.612141 | + | 1.06026i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.62132 | + | 2.09077i | 0.306401 | + | 0.395118i | ||||
\(29\) | −4.24264 | −0.787839 | −0.393919 | − | 0.919145i | \(-0.628881\pi\) | ||||
−0.393919 | + | 0.919145i | \(0.628881\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.378680 | − | 0.655892i | −0.0680129 | − | 0.117802i | 0.830014 | − | 0.557743i | \(-0.188333\pi\) |
−0.898027 | + | 0.439941i | \(0.854999\pi\) | |||||||
\(32\) | −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 | \(0.0600231\pi\) | |||||||
\(38\) | −3.12132 | − | 5.40629i | −0.506345 | − | 0.877015i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.48528 | −0.856657 | −0.428329 | − | 0.903623i | \(-0.640897\pi\) | ||||
−0.428329 | + | 0.903623i | \(0.640897\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.48528 | −0.988996 | −0.494498 | − | 0.869179i | \(-0.664648\pi\) | ||||
−0.494498 | + | 0.869179i | \(0.664648\pi\) | |||||||
\(44\) | −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 | −0.258420 | + | 0.966033i | \(0.583202\pi\) |
−0.707399 | + | 0.706815i | \(0.750131\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.74264 | − | 1.88064i | 0.963234 | − | 0.268662i | ||||
\(50\) | −5.00000 | −0.707107 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.12132 | − | 5.40629i | −0.432849 | − | 0.749717i | ||||
\(53\) | −2.12132 | − | 3.67423i | −0.291386 | − | 0.504695i | 0.682752 | − | 0.730650i | \(-0.260783\pi\) |
−0.974138 | + | 0.225955i | \(0.927450\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.62132 | + | 0.358719i | −0.350289 | + | 0.0479359i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.12132 | − | 3.67423i | 0.278543 | − | 0.482451i | ||||
\(59\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.12132 | + | 5.40629i | −0.399644 | + | 0.692204i | −0.993682 | − | 0.112233i | \(-0.964200\pi\) |
0.594038 | + | 0.804437i | \(0.297533\pi\) | |||||||
\(62\) | 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 | 0.999992 | + | 0.00404550i | \(0.00128773\pi\) |
−0.496492 | + | 0.868041i | \(0.665379\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.24264 | −0.859543 | −0.429772 | − | 0.902938i | \(-0.641406\pi\) | ||||
−0.429772 | + | 0.902938i | \(0.641406\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.50000 | + | 6.06218i | 0.409644 | + | 0.709524i | 0.994850 | − | 0.101361i | \(-0.0323196\pi\) |
−0.585206 | + | 0.810885i | \(0.698986\pi\) | |||||||
\(74\) | 2.00000 | + | 3.46410i | 0.232495 | + | 0.402694i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.24264 | 0.716080 | ||||||||
\(77\) | 6.87868 | + | 8.87039i | 0.783898 | + | 1.01087i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.62132 | + | 8.00436i | −0.519939 | + | 0.900561i | 0.479792 | + | 0.877382i | \(0.340712\pi\) |
−0.999731 | + | 0.0231789i | \(0.992621\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.74264 | − | 4.75039i | 0.302874 | − | 0.524593i | ||||
\(83\) | 7.75736 | 0.851481 | 0.425740 | − | 0.904845i | \(-0.360014\pi\) | ||||
0.425740 | + | 0.904845i | \(0.360014\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 3.24264 | − | 5.61642i | 0.349663 | − | 0.605634i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.12132 | − | 3.67423i | −0.226134 | − | 0.391675i | ||||
\(89\) | 2.74264 | − | 4.75039i | 0.290719 | − | 0.503541i | −0.683261 | − | 0.730175i | \(-0.739439\pi\) |
0.973980 | + | 0.226634i | \(0.0727721\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −16.3640 | + | 2.23936i | −1.71541 | + | 0.234748i | ||||
\(92\) | 7.24264 | 0.755097 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.62132 | − | 11.4685i | −0.682937 | − | 1.18288i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −12.4853 | −1.26769 | −0.633844 | − | 0.773461i | \(-0.718524\pi\) | ||||
−0.633844 | + | 0.773461i | \(0.718524\pi\) | |||||||
\(98\) | −1.74264 | + | 6.77962i | −0.176033 | + | 0.684845i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.50000 | − | 4.33013i | 0.250000 | − | 0.433013i | ||||
\(101\) | −3.87868 | − | 6.71807i | −0.385943 | − | 0.668473i | 0.605956 | − | 0.795498i | \(-0.292791\pi\) |
−0.991900 | + | 0.127025i | \(0.959457\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.378680 | + | 0.655892i | −0.0373124 | + | 0.0646270i | −0.884079 | − | 0.467338i | \(-0.845213\pi\) |
0.846766 | + | 0.531965i | \(0.178546\pi\) | |||||||
\(104\) | 6.24264 | 0.612141 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.24264 | 0.412082 | ||||||||
\(107\) | 1.24264 | − | 2.15232i | 0.120131 | − | 0.208072i | −0.799688 | − | 0.600415i | \(-0.795002\pi\) |
0.919819 | + | 0.392343i | \(0.128335\pi\) | |||||||
\(108\) | 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 | ||||||||
\(112\) | 1.00000 | − | 2.44949i | 0.0944911 | − | 0.231455i | ||||
\(113\) | −20.4853 | −1.92709 | −0.963547 | − | 0.267541i | \(-0.913789\pi\) | ||||
−0.963547 | + | 0.267541i | \(0.913789\pi\) | |||||||
\(114\) | 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 | ||||||||
\(121\) | −3.50000 | + | 6.06218i | −0.318182 | + | 0.551107i | ||||
\(122\) | −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 | ||||||||
\(131\) | 3.87868 | − | 6.71807i | 0.338882 | − | 0.586961i | −0.645341 | − | 0.763895i | \(-0.723285\pi\) |
0.984223 | + | 0.176934i | \(0.0566180\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.24264 | − | 15.2913i | 0.541306 | − | 1.32592i | ||||
\(134\) | −8.24264 | −0.712056 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.98528 | + | 17.2950i | 0.853100 | + | 1.47761i | 0.878396 | + | 0.477933i | \(0.158614\pi\) |
−0.0252962 | + | 0.999680i | \(0.508053\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.72792 | −0.401017 | −0.200509 | − | 0.979692i | \(-0.564259\pi\) | ||||
−0.200509 | + | 0.979692i | \(0.564259\pi\) | |||||||
\(140\) | 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 | ||||||||
\(146\) | −7.00000 | −0.579324 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.00000 | −0.328798 | ||||||||
\(149\) | −8.12132 | + | 14.0665i | −0.665324 | + | 1.15238i | 0.313873 | + | 0.949465i | \(0.398373\pi\) |
−0.979197 | + | 0.202911i | \(0.934960\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.37868 | + | 2.38794i | 0.112195 | + | 0.194328i | 0.916655 | − | 0.399679i | \(-0.130878\pi\) |
−0.804460 | + | 0.594007i | \(0.797545\pi\) | |||||||
\(152\) | −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 | −0.997609 | − | 0.0691164i | \(-0.977982\pi\) |
0.438948 | − | 0.898513i | \(-0.355351\pi\) | |||||||
\(158\) | −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 | \(0.0143534\pi\) | |||||||
\(164\) | 2.74264 | + | 4.75039i | 0.214164 | + | 0.370943i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.87868 | + | 6.71807i | −0.301044 | + | 0.521423i | ||||
\(167\) | 24.2132 | 1.87367 | 0.936837 | − | 0.349766i | \(-0.113739\pi\) | ||||
0.936837 | + | 0.349766i | \(0.113739\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 25.9706 | 1.99774 | ||||||||
\(170\) | 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 | \(-0.696401\pi\) |
0.995640 | + | 0.0932788i | \(0.0297348\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.10660 | − | 10.4539i | −0.612801 | − | 0.790237i | ||||
\(176\) | 4.24264 | 0.319801 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.74264 | + | 4.75039i | 0.205570 | + | 0.356057i | ||||
\(179\) | 8.12132 | + | 14.0665i | 0.607016 | + | 1.05138i | 0.991729 | + | 0.128346i | \(0.0409669\pi\) |
−0.384713 | + | 0.923036i | \(0.625700\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −20.2426 | −1.50462 | −0.752312 | − | 0.658807i | \(-0.771061\pi\) | ||||
−0.752312 | + | 0.658807i | \(0.771061\pi\) | |||||||
\(182\) | 6.24264 | − | 15.2913i | 0.462735 | − | 1.13347i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.62132 | + | 6.27231i | −0.266967 | + | 0.462401i | ||||
\(185\) | 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 | \(-0.932654\pi\) |
0.670715 | + | 0.741715i | \(0.265987\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.25736 | + | 3.90986i | 0.162488 | + | 0.281438i | 0.935760 | − | 0.352636i | \(-0.114715\pi\) |
−0.773272 | + | 0.634074i | \(0.781381\pi\) | |||||||
\(194\) | 6.24264 | − | 10.8126i | 0.448195 | − | 0.776297i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.00000 | − | 4.89898i | −0.357143 | − | 0.349927i | ||||
\(197\) | 16.9706 | 1.20910 | 0.604551 | − | 0.796566i | \(-0.293352\pi\) | ||||
0.604551 | + | 0.796566i | \(0.293352\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.37868 | + | 12.7802i | 0.523061 | + | 0.905968i | 0.999640 | + | 0.0268362i | \(0.00854325\pi\) |
−0.476579 | + | 0.879132i | \(0.658123\pi\) | |||||||
\(200\) | 2.50000 | + | 4.33013i | 0.176777 | + | 0.306186i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 7.75736 | 0.545806 | ||||||||
\(203\) | 11.1213 | − | 1.52192i | 0.780564 | − | 0.106818i | ||||
\(204\) | 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 | ||||
\(209\) | 26.4853 | 1.83203 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.48528 | −0.446465 | −0.223233 | − | 0.974765i | \(-0.571661\pi\) | ||||
−0.223233 | + | 0.974765i | \(0.571661\pi\) | |||||||
\(212\) | −2.12132 | + | 3.67423i | −0.145693 | + | 0.252347i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.24264 | + | 2.15232i | 0.0849452 | + | 0.147129i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.22792 | + | 1.58346i | 0.0833568 | + | 0.107493i | ||||
\(218\) | −2.24264 | −0.151891 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.7279 | 0.785360 | 0.392680 | − | 0.919675i | \(-0.371548\pi\) | ||||
0.392680 | + | 0.919675i | \(0.371548\pi\) | |||||||
\(224\) | 1.62132 | + | 2.09077i | 0.108329 | + | 0.139695i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.2426 | − | 17.7408i | 0.681330 | − | 1.18010i | ||||
\(227\) | −13.2426 | − | 22.9369i | −0.878945 | − | 1.52238i | −0.852500 | − | 0.522727i | \(-0.824915\pi\) |
−0.0264448 | − | 0.999650i | \(-0.508419\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.4853 | + | 21.6251i | −0.825051 | + | 1.42903i | 0.0768300 | + | 0.997044i | \(0.475520\pi\) |
−0.901881 | + | 0.431985i | \(0.857813\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.24264 | −0.278543 | ||||||||
\(233\) | −10.2426 | + | 17.7408i | −0.671018 | + | 1.16224i | 0.306598 | + | 0.951839i | \(0.400809\pi\) |
−0.977616 | + | 0.210398i | \(0.932524\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3.72792 | 0.241139 | 0.120570 | − | 0.992705i | \(-0.461528\pi\) | ||||
0.120570 | + | 0.992705i | \(0.461528\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.25736 | − | 7.37396i | −0.274241 | − | 0.474999i | 0.695703 | − | 0.718330i | \(-0.255093\pi\) |
−0.969943 | + | 0.243331i | \(0.921760\pi\) | |||||||
\(242\) | −3.50000 | − | 6.06218i | −0.224989 | − | 0.389692i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.24264 | 0.399644 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −19.4853 | + | 33.7495i | −1.23982 | + | 2.14743i | ||||
\(248\) | −0.378680 | − | 0.655892i | −0.0240462 | − | 0.0416492i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 18.7279 | 1.18210 | 0.591048 | − | 0.806636i | \(-0.298714\pi\) | ||||
0.591048 | + | 0.806636i | \(0.298714\pi\) | |||||||
\(252\) | 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 | ||||
\(257\) | −2.74264 | + | 4.75039i | −0.171081 | + | 0.296321i | −0.938798 | − | 0.344468i | \(-0.888059\pi\) |
0.767717 | + | 0.640789i | \(0.221393\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.00000 | + | 9.79796i | −0.248548 | + | 0.608816i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.87868 | + | 6.71807i | 0.239626 | + | 0.415044i | ||||
\(263\) | −11.4853 | − | 19.8931i | −0.708213 | − | 1.22666i | −0.965519 | − | 0.260331i | \(-0.916168\pi\) |
0.257307 | − | 0.966330i | \(-0.417165\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 10.1213 | + | 13.0519i | 0.620578 | + | 0.800265i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.12132 | − | 7.13834i | 0.251750 | − | 0.436043i | ||||
\(269\) | 5.48528 | + | 9.50079i | 0.334444 | + | 0.579273i | 0.983378 | − | 0.181571i | \(-0.0581183\pi\) |
−0.648934 | + | 0.760844i | \(0.724785\pi\) | |||||||
\(270\) | 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 | ||||||||
\(274\) | −19.9706 | −1.20647 | ||||||||
\(275\) | 10.6066 | − | 18.3712i | 0.639602 | − | 1.10782i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.60660 | + | 16.6391i | 0.577205 | + | 0.999748i | 0.995798 | + | 0.0915743i | \(0.0291899\pi\) |
−0.418593 | + | 0.908174i | \(0.637477\pi\) | |||||||
\(278\) | 2.36396 | − | 4.09450i | 0.141781 | − | 0.245572i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 22.4558 | 1.33960 | 0.669802 | − | 0.742540i | \(-0.266379\pi\) | ||||
0.669802 | + | 0.742540i | \(0.266379\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.4853 | − | 21.6251i | −0.742173 | − | 1.28548i | −0.951504 | − | 0.307636i | \(-0.900462\pi\) |
0.209331 | − | 0.977845i | \(-0.432871\pi\) | |||||||
\(284\) | 3.62132 | + | 6.27231i | 0.214886 | + | 0.372193i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 26.4853 | 1.56611 | ||||||||
\(287\) | 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 | ||||||||
\(292\) | 3.50000 | − | 6.06218i | 0.204822 | − | 0.354762i | ||||
\(293\) | −10.9706 | −0.640907 | −0.320454 | − | 0.947264i | \(-0.603835\pi\) | ||||
−0.320454 | + | 0.947264i | \(0.603835\pi\) | |||||||
\(294\) | 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 | ||||||||
\(301\) | 17.0000 | − | 2.32640i | 0.979864 | − | 0.134091i | ||||
\(302\) | −2.75736 | −0.158668 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.12132 | − | 5.40629i | −0.179020 | − | 0.310072i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −28.0000 | −1.59804 | −0.799022 | − | 0.601302i | \(-0.794649\pi\) | ||||
−0.799022 | + | 0.601302i | \(0.794649\pi\) | |||||||
\(308\) | 4.24264 | − | 10.3923i | 0.241747 | − | 0.592157i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.48528 | + | 9.50079i | 0.311042 | + | 0.538740i | 0.978588 | − | 0.205828i | \(-0.0659888\pi\) |
−0.667546 | + | 0.744568i | \(0.732655\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.98528 | − | 15.5630i | 0.507878 | − | 0.879671i | −0.492080 | − | 0.870550i | \(-0.663763\pi\) |
0.999958 | − | 0.00912090i | \(-0.00290331\pi\) | |||||||
\(314\) | 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 | \(-0.675209\pi\) |
0.999640 | + | 0.0268342i | \(0.00854260\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.00000 | + | 15.5885i | 0.503903 | + | 0.872786i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.7426 | + | 15.1427i | 0.654392 | + | 0.843870i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 15.6066 | + | 27.0314i | 0.865699 | + | 1.49943i | ||||
\(326\) | 5.87868 | + | 10.1822i | 0.325590 | + | 0.563938i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −5.48528 | −0.302874 | ||||||||
\(329\) | 13.2426 | − | 32.4377i | 0.730090 | − | 1.78835i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.24264 | − | 16.0087i | 0.508021 | − | 0.879919i | −0.491935 | − | 0.870632i | \(-0.663710\pi\) |
0.999957 | − | 0.00928730i | \(-0.00295628\pi\) | |||||||
\(332\) | −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 | ||||||||
\(337\) | 4.48528 | 0.244329 | 0.122164 | − | 0.992510i | \(-0.461016\pi\) | ||||
0.122164 | + | 0.992510i | \(0.461016\pi\) | |||||||
\(338\) | −12.9853 | + | 22.4912i | −0.706306 | + | 1.22336i | ||||
\(339\) | 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 | ||||
\(344\) | −6.48528 | −0.349663 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.48528 | + | 9.50079i | 0.294891 | + | 0.510765i | ||||
\(347\) | 3.36396 | + | 5.82655i | 0.180587 | + | 0.312786i | 0.942081 | − | 0.335387i | \(-0.108867\pi\) |
−0.761494 | + | 0.648172i | \(0.775534\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 24.9706 | 1.33664 | 0.668322 | − | 0.743872i | \(-0.267013\pi\) | ||||
0.668322 | + | 0.743872i | \(0.267013\pi\) | |||||||
\(350\) | 13.1066 | − | 1.79360i | 0.700577 | − | 0.0958718i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.12132 | + | 3.67423i | −0.113067 | + | 0.195837i | ||||
\(353\) | −10.5000 | − | 18.1865i | −0.558859 | − | 0.967972i | −0.997592 | − | 0.0693543i | \(-0.977906\pi\) |
0.438733 | − | 0.898617i | \(-0.355427\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −5.48528 | −0.290719 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −16.2426 | −0.858450 | ||||||||
\(359\) | −5.37868 | + | 9.31615i | −0.283876 | + | 0.491687i | −0.972336 | − | 0.233587i | \(-0.924954\pi\) |
0.688460 | + | 0.725274i | \(0.258287\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.98528 | − | 17.2950i | −0.525541 | − | 0.910264i | ||||
\(362\) | 10.1213 | − | 17.5306i | 0.531965 | − | 0.921390i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 10.1213 | + | 13.0519i | 0.530501 | + | 0.684107i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.86396 | − | 10.1567i | −0.306096 | − | 0.530174i | 0.671409 | − | 0.741087i | \(-0.265690\pi\) |
−0.977505 | + | 0.210913i | \(0.932356\pi\) | |||||||
\(368\) | −3.62132 | − | 6.27231i | −0.188774 | − | 0.326967i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 6.87868 | + | 8.87039i | 0.357123 | + | 0.460528i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.60660 | − | 6.24682i | 0.186743 | − | 0.323448i | −0.757420 | − | 0.652928i | \(-0.773540\pi\) |
0.944162 | + | 0.329480i | \(0.106874\pi\) | |||||||
\(374\) | 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 | ||||
\(383\) | 12.1066 | − | 20.9692i | 0.618618 | − | 1.07148i | −0.371120 | − | 0.928585i | \(-0.621026\pi\) |
0.989738 | − | 0.142894i | \(-0.0456406\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −4.51472 | −0.229793 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.24264 | + | 10.8126i | 0.316922 | + | 0.548925i | ||||
\(389\) | −5.12132 | − | 8.87039i | −0.259661 | − | 0.449746i | 0.706490 | − | 0.707723i | \(-0.250278\pi\) |
−0.966151 | + | 0.257977i | \(0.916944\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 6.74264 | − | 1.88064i | 0.340555 | − | 0.0949865i | ||||
\(393\) | 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 | \(-0.00293893\pi\) | |||||||
\(398\) | −14.7574 | −0.739720 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.00000 | −0.250000 | ||||||||
\(401\) | −14.7426 | + | 25.5350i | −0.736212 | + | 1.27516i | 0.217977 | + | 0.975954i | \(0.430054\pi\) |
−0.954189 | + | 0.299203i | \(0.903279\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.36396 | − | 4.09450i | −0.117757 | − | 0.203962i | ||||
\(404\) | −3.87868 | + | 6.71807i | −0.192972 | + | 0.334236i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.24264 | + | 10.3923i | −0.210559 | + | 0.515761i | ||||
\(407\) | −16.9706 | −0.841200 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.5000 | − | 30.3109i | −0.865319 | − | 1.49878i | −0.866730 | − | 0.498778i | \(-0.833782\pi\) |
0.00141047 | − | 0.999999i | \(-0.499551\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.757359 | 0.0373124 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −3.12132 | − | 5.40629i | −0.153035 | − | 0.265065i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −13.2426 | + | 22.9369i | −0.647719 | + | 1.12188i | ||||
\(419\) | −7.75736 | −0.378972 | −0.189486 | − | 0.981883i | \(-0.560682\pi\) | ||||
−0.189486 | + | 0.981883i | \(0.560682\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.2426 | −0.694144 | −0.347072 | − | 0.937839i | \(-0.612824\pi\) | ||||
−0.347072 | + | 0.937839i | \(0.612824\pi\) | |||||||
\(422\) | 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 | ||||||||
\(427\) | 6.24264 | − | 15.2913i | 0.302103 | − | 0.739997i | ||||
\(428\) | −2.48528 | −0.120131 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 18.6213 | + | 32.2531i | 0.896957 | + | 1.55358i | 0.831363 | + | 0.555729i | \(0.187561\pi\) |
0.0655943 | + | 0.997846i | \(0.479106\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.97056 | 0.190813 | 0.0954065 | − | 0.995438i | \(-0.469585\pi\) | ||||
0.0954065 | + | 0.995438i | \(0.469585\pi\) | |||||||
\(434\) | −1.98528 | + | 0.271680i | −0.0952966 | + | 0.0130410i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.12132 | − | 1.94218i | 0.0537015 | − | 0.0930137i | ||||
\(437\) | −22.6066 | − | 39.1558i | −1.08142 | − | 1.87308i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.86396 | + | 10.1567i | −0.279872 | + | 0.484752i | −0.971353 | − | 0.237643i | \(-0.923625\pi\) |
0.691481 | + | 0.722395i | \(0.256959\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.75736 | + | 8.23999i | −0.226029 | + | 0.391494i | −0.956628 | − | 0.291313i | \(-0.905908\pi\) |
0.730599 | + | 0.682807i | \(0.239241\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −5.86396 | + | 10.1567i | −0.277667 | + | 0.480933i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.62132 | + | 0.358719i | −0.123846 | + | 0.0169479i | ||||
\(449\) | −4.97056 | −0.234575 | −0.117288 | − | 0.993098i | \(-0.537420\pi\) | ||||
−0.117288 | + | 0.993098i | \(0.537420\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.6360 | + | 20.1542i | 0.547920 | + | 0.949025i | ||||
\(452\) | 10.2426 | + | 17.7408i | 0.481773 | + | 0.834456i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 26.4853 | 1.24302 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.75736 | + | 9.97204i | −0.269318 | + | 0.466472i | −0.968686 | − | 0.248290i | \(-0.920132\pi\) |
0.699368 | + | 0.714762i | \(0.253465\pi\) | |||||||
\(458\) | −12.4853 | − | 21.6251i | −0.583399 | − | 1.01048i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 34.2426 | 1.59484 | 0.797419 | − | 0.603425i | \(-0.206198\pi\) | ||||
0.797419 | + | 0.603425i | \(0.206198\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.75736 | −0.406989 | −0.203495 | − | 0.979076i | \(-0.565230\pi\) | ||||
−0.203495 | + | 0.979076i | \(0.565230\pi\) | |||||||
\(464\) | 2.12132 | − | 3.67423i | 0.0984798 | − | 0.170572i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.2426 | − | 17.7408i | −0.474481 | − | 0.821825i | ||||
\(467\) | 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 | ||||||||
\(475\) | −31.2132 | −1.43216 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.86396 | + | 3.22848i | −0.0852556 | + | 0.147667i | ||||
\(479\) | 6.62132 | + | 11.4685i | 0.302536 | + | 0.524007i | 0.976710 | − | 0.214565i | \(-0.0688335\pi\) |
−0.674174 | + | 0.738573i | \(0.735500\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.4853 | − | 21.6251i | 0.569280 | − | 0.986022i | ||||
\(482\) | 8.51472 | 0.387835 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.00000 | 0.318182 | ||||||||
\(485\) | 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 | ||||||||
\(491\) | 6.72792 | 0.303627 | 0.151813 | − | 0.988409i | \(-0.451489\pi\) | ||||
0.151813 | + | 0.988409i | \(0.451489\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −19.4853 | − | 33.7495i | −0.876684 | − | 1.51846i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.757359 | 0.0340064 | ||||||||
\(497\) | 18.9853 | − | 2.59808i | 0.851606 | − | 0.116540i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.36396 | − | 9.29065i | 0.240124 | − | 0.415907i | −0.720626 | − | 0.693325i | \(-0.756145\pi\) |
0.960749 | + | 0.277418i | \(0.0894786\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.36396 | + | 16.2189i | −0.417934 | + | 0.723883i | ||||
\(503\) | −24.2132 | −1.07961 | −0.539807 | − | 0.841789i | \(-0.681503\pi\) | ||||
−0.539807 | + | 0.841789i | \(0.681503\pi\) | |||||||
\(504\) | 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 | ||||
\(509\) | −3.87868 | + | 6.71807i | −0.171919 | + | 0.297773i | −0.939091 | − | 0.343669i | \(-0.888330\pi\) |
0.767171 | + | 0.641442i | \(0.221664\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.3492 | − | 14.6354i | −0.502061 | − | 0.647432i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −2.74264 | − | 4.75039i | −0.120973 | − | 0.209531i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 56.1838 | 2.47096 | ||||||||
\(518\) | −6.48528 | − | 8.36308i | −0.284947 | − | 0.367453i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −8.22792 | − | 14.2512i | −0.360472 | − | 0.624355i | 0.627567 | − | 0.778563i | \(-0.284051\pi\) |
−0.988039 | + | 0.154207i | \(0.950718\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 10.1213 | − | 17.5306i | 0.442574 | − | 0.766561i | −0.555305 | − | 0.831647i | \(-0.687399\pi\) |
0.997880 | + | 0.0650852i | \(0.0207319\pi\) | |||||||
\(524\) | −7.75736 | −0.338882 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 22.9706 | 1.00156 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −14.7279 | − | 25.5095i | −0.640344 | − | 1.10911i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −16.3640 | + | 2.23936i | −0.709468 | + | 0.0970884i | ||||
\(533\) | −34.2426 | −1.48321 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 4.12132 | + | 7.13834i | 0.178014 | + | 0.308329i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.9706 | −0.472975 | ||||||||
\(539\) | −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 | \(0.0623730\pi\) | |||||||
\(542\) | 6.24264 | + | 10.8126i | 0.268144 | + | 0.464440i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.48528 | −0.277291 | −0.138645 | − | 0.990342i | \(-0.544275\pi\) | ||||
−0.138645 | + | 0.990342i | \(0.544275\pi\) | |||||||
\(548\) | 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 | ||||||||
\(553\) | 9.24264 | − | 22.6398i | 0.393037 | − | 0.962740i | ||||
\(554\) | −19.2132 | −0.816291 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.36396 | + | 4.09450i | 0.100254 | + | 0.173646i | ||||
\(557\) | 20.4853 | + | 35.4815i | 0.867989 | + | 1.50340i | 0.864048 | + | 0.503409i | \(0.167921\pi\) |
0.00394110 | + | 0.999992i | \(0.498746\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −40.4853 | −1.71234 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −11.2279 | + | 19.4473i | −0.473621 | + | 0.820336i | ||||
\(563\) | −9.36396 | − | 16.2189i | −0.394644 | − | 0.683543i | 0.598412 | − | 0.801189i | \(-0.295799\pi\) |
−0.993056 | + | 0.117645i | \(0.962465\pi\) | |||||||
\(564\) | 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 | 0.476855 | + | 0.878982i | \(0.341777\pi\) |
−0.999648 | + | 0.0265224i | \(0.991557\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.4853 | + | 18.1610i | 0.438795 | + | 0.760016i | 0.997597 | − | 0.0692856i | \(-0.0220720\pi\) |
−0.558801 | + | 0.829301i | \(0.688739\pi\) | |||||||
\(572\) | −13.2426 | + | 22.9369i | −0.553703 | + | 0.959041i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.48528 | + | 13.4361i | −0.228951 | + | 0.560814i | ||||
\(575\) | −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 | \(-0.435712\pi\) | |||||||
\(578\) | 8.50000 | + | 14.7224i | 0.353553 | + | 0.612372i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −20.3345 | + | 2.78272i | −0.843618 | + | 0.115447i | ||||
\(582\) | 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 | ||||
\(587\) | −3.21320 | −0.132623 | −0.0663115 | − | 0.997799i | \(-0.521123\pi\) | ||||
−0.0663115 | + | 0.997799i | \(0.521123\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.72792 | 0.194811 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.00000 | + | 3.46410i | 0.0821995 | + | 0.142374i | ||||
\(593\) | 2.74264 | − | 4.75039i | 0.112627 | − | 0.195075i | −0.804202 | − | 0.594356i | \(-0.797407\pi\) |
0.916829 | + | 0.399281i | \(0.130740\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 16.2426 | 0.665324 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −22.6066 | − | 39.1558i | −0.924453 | − | 1.60120i | ||||
\(599\) | −11.4853 | − | 19.8931i | −0.469276 | − | 0.812810i | 0.530107 | − | 0.847931i | \(-0.322152\pi\) |
−0.999383 | + | 0.0351210i | \(0.988818\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.9706 | −0.733035 | −0.366517 | − | 0.930411i | \(-0.619450\pi\) | ||||
−0.366517 | + | 0.930411i | \(0.619450\pi\) | |||||||
\(602\) | −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 | ||||||||
\(607\) | 19.4853 | − | 33.7495i | 0.790883 | − | 1.36985i | −0.134538 | − | 0.990909i | \(-0.542955\pi\) |
0.925421 | − | 0.378941i | \(-0.123712\pi\) | |||||||
\(608\) | 6.24264 | 0.253173 | ||||||||
\(609\) | 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 | ||||||||
\(616\) | 6.87868 | + | 8.87039i | 0.277150 | + | 0.357398i | ||||
\(617\) | −28.4558 | −1.14559 | −0.572795 | − | 0.819699i | \(-0.694141\pi\) | ||||
−0.572795 | + | 0.819699i | \(0.694141\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.757359 | + | 1.31178i | 0.0304408 | + | 0.0527251i | 0.880844 | − | 0.473406i | \(-0.156976\pi\) |
−0.850404 | + | 0.526131i | \(0.823642\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.9706 | −0.439879 | ||||||||
\(623\) | −5.48528 | + | 13.4361i | −0.219763 | + | 0.538308i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.5000 | + | 21.6506i | −0.500000 | + | 0.866025i | ||||
\(626\) | 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 | ||||||||
\(637\) | 42.0919 | − | 11.7401i | 1.66774 | − | 0.465161i | ||||
\(638\) | −18.0000 | −0.712627 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.22792 | + | 3.85887i | 0.0879976 | + | 0.152416i | 0.906665 | − | 0.421852i | \(-0.138620\pi\) |
−0.818667 | + | 0.574269i | \(0.805287\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −46.7279 | −1.84277 | −0.921385 | − | 0.388652i | \(-0.872941\pi\) | ||||
−0.921385 | + | 0.388652i | \(0.872941\pi\) | |||||||
\(644\) | −18.9853 | + | 2.59808i | −0.748125 | + | 0.102379i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.13604 | − | 1.96768i | −0.0446623 | − | 0.0773574i | 0.842830 | − | 0.538180i | \(-0.180888\pi\) |
−0.887492 | + | 0.460822i | \(0.847555\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −31.2132 | −1.22428 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −11.7574 | −0.460454 | ||||||||
\(653\) | −12.0000 | + | 20.7846i | −0.469596 | + | 0.813365i | −0.999396 | − | 0.0347583i | \(-0.988934\pi\) |
0.529799 | + | 0.848123i | \(0.322267\pi\) | |||||||
\(654\) | 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 | ||||
\(659\) | −39.2132 | −1.52753 | −0.763765 | − | 0.645495i | \(-0.776651\pi\) | ||||
−0.763765 | + | 0.645495i | \(0.776651\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.0919 | + | 36.5322i | 0.820379 | + | 1.42094i | 0.905400 | + | 0.424559i | \(0.139571\pi\) |
−0.0850210 | + | 0.996379i | \(0.527096\pi\) | |||||||
\(662\) | 9.24264 | + | 16.0087i | 0.359225 | + | 0.622197i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 7.75736 | 0.301044 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 15.3640 | − | 26.6112i | 0.594895 | − | 1.03039i | ||||
\(668\) | −12.1066 | − | 20.9692i | −0.468418 | − | 0.811325i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 26.4853 | 1.02245 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −27.4853 | −1.05948 | −0.529740 | − | 0.848160i | \(-0.677710\pi\) | ||||
−0.529740 | + | 0.848160i | \(0.677710\pi\) | |||||||
\(674\) | −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 | 0.323100 | + | 0.946365i | \(0.395275\pi\) |
−0.981126 | + | 0.193369i | \(0.938058\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 32.7279 | − | 4.47871i | 1.25598 | − | 0.171877i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.60660 | − | 2.78272i | −0.0615200 | − | 0.106556i | ||||
\(683\) | −20.8492 | − | 36.1119i | −0.797774 | − | 1.38179i | −0.921063 | − | 0.389414i | \(-0.872677\pi\) |
0.123289 | − | 0.992371i | \(-0.460656\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 2.13604 | − | 18.3967i | 0.0815543 | − | 0.702388i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.24264 | − | 5.61642i | 0.123625 | − | 0.214124i | ||||
\(689\) | −13.2426 | − | 22.9369i | −0.504504 | − | 0.873827i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.12132 | + | 5.40629i | −0.118741 | + | 0.205665i | −0.919269 | − | 0.393630i | \(-0.871219\pi\) |
0.800528 | + | 0.599295i | \(0.204552\pi\) | |||||||
\(692\) | −10.9706 | −0.417038 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.72792 | −0.255388 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −12.4853 | + | 21.6251i | −0.472575 | + | 0.818524i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −5.00000 | + | 12.2474i | −0.188982 | + | 0.462910i | ||||
\(701\) | 13.7574 | 0.519608 | 0.259804 | − | 0.965661i | \(-0.416342\pi\) | ||||
0.259804 | + | 0.965661i | \(0.416342\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 12.4853 | + | 21.6251i | 0.470891 | + | 0.815608i | ||||
\(704\) | −2.12132 | − | 3.67423i | −0.0799503 | − | 0.138478i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 21.0000 | 0.790345 | ||||||||
\(707\) | 12.5772 | + | 16.2189i | 0.473013 | + | 0.609973i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.8492 | + | 22.2555i | −0.482563 | + | 0.835824i | −0.999800 | − | 0.0200183i | \(-0.993628\pi\) |
0.517236 | + | 0.855843i | \(0.326961\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.74264 | − | 4.75039i | 0.102785 | − | 0.178029i | ||||
\(713\) | 5.48528 | 0.205425 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 8.12132 | − | 14.0665i | 0.303508 | − | 0.525691i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −5.37868 | − | 9.31615i | −0.200731 | − | 0.347675i | ||||
\(719\) | 1.13604 | − | 1.96768i | 0.0423671 | − | 0.0733820i | −0.844064 | − | 0.536242i | \(-0.819843\pi\) |
0.886431 | + | 0.462860i | \(0.153177\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.757359 | − | 1.85514i | 0.0282055 | − | 0.0690892i | ||||
\(722\) | 19.9706 | 0.743227 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 10.1213 | + | 17.5306i | 0.376156 | + | 0.651521i | ||||
\(725\) | −10.6066 | − | 18.3712i | −0.393919 | − | 0.682288i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −25.7279 | −0.954196 | −0.477098 | − | 0.878850i | \(-0.658311\pi\) | ||||
−0.477098 | + | 0.878850i | \(0.658311\pi\) | |||||||
\(728\) | −16.3640 | + | 2.23936i | −0.606489 | + | 0.0829961i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 19.4853 | − | 33.7495i | 0.719705 | − | 1.24657i | −0.241411 | − | 0.970423i | \(-0.577610\pi\) |
0.961116 | − | 0.276143i | \(-0.0890564\pi\) | |||||||
\(734\) | 11.7279 | 0.432886 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.24264 | 0.266967 | ||||||||
\(737\) | 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 | ||||||||
\(742\) | −11.1213 | + | 1.52192i | −0.408277 | + | 0.0558714i | ||||
\(743\) | 34.7574 | 1.27512 | 0.637562 | − | 0.770399i | \(-0.279943\pi\) | ||||
0.637562 | + | 0.770399i | \(0.279943\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 3.60660 | + | 6.24682i | 0.132047 | + | 0.228712i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −2.48528 | + | 6.08767i | −0.0908102 | + | 0.222439i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.62132 | − | 14.9326i | 0.314596 | − | 0.544897i | −0.664755 | − | 0.747061i | \(-0.731464\pi\) |
0.979352 | + | 0.202164i | \(0.0647975\pi\) | |||||||
\(752\) | −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 | ||||||||
\(761\) | −10.5000 | + | 18.1865i | −0.380625 | + | 0.659261i | −0.991152 | − | 0.132734i | \(-0.957624\pi\) |
0.610527 | + | 0.791995i | \(0.290958\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.63604 | − | 4.68885i | −0.131633 | − | 0.169748i | ||||
\(764\) | 8.48528 | 0.306987 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.1066 | + | 20.9692i | 0.437429 | + | 0.757650i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.4853 | −0.450231 | −0.225115 | − | 0.974332i | \(-0.572276\pi\) | ||||
−0.225115 | + | 0.974332i | \(0.572276\pi\) | |||||||
\(770\) | 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 | \(0.135557\pi\) |
−0.0975792 | + | 0.995228i | \(0.531110\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.89340 | − | 3.27946i | 0.0680129 | − | 0.117802i | ||||
\(776\) | −12.4853 | −0.448195 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 10.2426 | 0.367216 | ||||||||
\(779\) | 17.1213 | − | 29.6550i | 0.613435 | − | 1.06250i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 15.3640 | + | 26.6112i | 0.549766 | + | 0.952222i | ||||
\(782\) | 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 | 0.997800 | + | 0.0662975i | \(0.0211186\pi\) |
−0.441485 | + | 0.897269i | \(0.645548\pi\) | |||||||
\(788\) | −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 | ||||
\(794\) | 10.1213 | + | 17.5306i | 0.359192 | + | 0.622139i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 7.37868 | − | 12.7802i | 0.261530 | − | 0.452984i | ||||
\(797\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(798\) | 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 | ||||||||
\(806\) | 4.72792 | 0.166534 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −3.87868 | − | 6.71807i | −0.136451 | − | 0.236341i | ||||
\(809\) | 4.50000 | + | 7.79423i | 0.158212 | + | 0.274030i | 0.934224 | − | 0.356687i | \(-0.116094\pi\) |
−0.776012 | + | 0.630718i | \(0.782761\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −23.4558 | −0.823646 | −0.411823 | − | 0.911264i | \(-0.635108\pi\) | ||||
−0.411823 | + | 0.911264i | \(0.635108\pi\) | |||||||
\(812\) | −6.87868 | − | 8.87039i | −0.241394 | − | 0.311290i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 8.48528 | − | 14.6969i | 0.297409 | − | 0.515127i | ||||
\(815\) | 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 | −0.435746 | − | 0.900070i | \(-0.643515\pi\) |
0.997356 | − | 0.0726682i | \(-0.0231514\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.3492 | − | 35.2459i | −0.709330 | − | 1.22860i | −0.965106 | − | 0.261860i | \(-0.915664\pi\) |
0.255776 | − | 0.966736i | \(-0.417669\pi\) | |||||||
\(824\) | −0.378680 | + | 0.655892i | −0.0131919 | + | 0.0228491i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 16.9706 | 0.590124 | 0.295062 | − | 0.955478i | \(-0.404660\pi\) | ||||
0.295062 | + | 0.955478i | \(0.404660\pi\) | |||||||
\(828\) | 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 | ||||||||
\(832\) | 6.24264 | 0.216425 | ||||||||
\(833\) | 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 | ||||
\(839\) | 15.5147 | 0.535628 | 0.267814 | − | 0.963471i | \(-0.413699\pi\) | ||||
0.267814 | + | 0.963471i | \(0.413699\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.0000 | −0.379310 | ||||||||
\(842\) | 7.12132 | − | 12.3345i | 0.245417 | − | 0.425075i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.24264 | + | 5.61642i | 0.111616 | + | 0.193325i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.00000 | − | 17.1464i | 0.240523 | − | 0.589158i | ||||
\(848\) | 4.24264 | 0.145693 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 14.4853 | + | 25.0892i | 0.496549 | + | 0.860048i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 28.1838 | 0.964994 | 0.482497 | − | 0.875898i | \(-0.339730\pi\) | ||||
0.482497 | + | 0.875898i | \(0.339730\pi\) | |||||||
\(854\) | 10.1213 | + | 13.0519i | 0.346344 | + | 0.446628i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.24264 | − | 2.15232i | 0.0424726 | − | 0.0735647i | ||||
\(857\) | 2.74264 | + | 4.75039i | 0.0936868 | + | 0.162270i | 0.909060 | − | 0.416666i | \(-0.136801\pi\) |
−0.815373 | + | 0.578936i | \(0.803468\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −21.8492 | + | 37.8440i | −0.745487 | + | 1.29122i | 0.204481 | + | 0.978871i | \(0.434449\pi\) |
−0.949967 | + | 0.312350i | \(0.898884\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −37.2426 | −1.26849 | ||||||||
\(863\) | 0.106602 | − | 0.184640i | 0.00362876 | − | 0.00628520i | −0.864205 | − | 0.503139i | \(-0.832178\pi\) |
0.867834 | + | 0.496854i | \(0.165512\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −1.98528 | + | 3.43861i | −0.0674626 | + | 0.116849i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.757359 | − | 1.85514i | 0.0257065 | − | 0.0629677i | ||||
\(869\) | 39.2132 | 1.33022 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 25.7279 | + | 44.5621i | 0.871757 | + | 1.50993i | ||||
\(872\) | 1.12132 | + | 1.94218i | 0.0379727 | + | 0.0657706i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 45.2132 | 1.52936 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −12.8492 | + | 22.2555i | −0.433888 | + | 0.751516i | −0.997204 | − | 0.0747253i | \(-0.976192\pi\) |
0.563316 | + | 0.826241i | \(0.309525\pi\) | |||||||
\(878\) | −5.86396 | − | 10.1567i | −0.197899 | − | 0.342771i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −36.5147 | −1.23021 | −0.615106 | − | 0.788444i | \(-0.710887\pi\) | ||||
−0.615106 | + | 0.788444i | \(0.710887\pi\) | |||||||
\(882\) | 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 | ||||
\(887\) | −19.8640 | + | 34.4054i | −0.666967 | + | 1.15522i | 0.311782 | + | 0.950154i | \(0.399074\pi\) |
−0.978748 | + | 0.205066i | \(0.934259\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −17.7132 | + | 2.42400i | −0.594082 | + | 0.0812982i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −5.86396 | − | 10.1567i | −0.196340 | − | 0.340071i | ||||
\(893\) | −41.3345 | − | 71.5935i | −1.38321 | − | 2.39578i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 1.00000 | − | 2.44949i | 0.0334077 | − | 0.0818317i | ||||
\(897\) | 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 | ||||||||
\(902\) | −23.2721 | −0.774875 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −20.4853 | −0.681330 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 18.9706 | + | 32.8580i | 0.629907 | + | 1.09103i | 0.987570 | + | 0.157180i | \(0.0502404\pi\) |
−0.357663 | + | 0.933851i | \(0.616426\pi\) | |||||||
\(908\) | −13.2426 | + | 22.9369i | −0.439472 | + | 0.761189i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −14.2721 | −0.472855 | −0.236428 | − | 0.971649i | \(-0.575977\pi\) | ||||
−0.236428 | + | 0.971649i | \(0.575977\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −16.4558 | − | 28.5024i | −0.544609 | − | 0.943290i | ||||
\(914\) | −5.75736 | − | 9.97204i | −0.190437 | − | 0.329846i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 24.9706 | 0.825051 | ||||||||
\(917\) | −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 | ||||||||
\(922\) | −17.1213 | + | 29.6550i | −0.563861 | + | 0.976635i | ||||
\(923\) | −45.2132 | −1.48821 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 20.0000 | 0.657596 | ||||||||
\(926\) | 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 | \(-0.780723\pi\) |
0.936487 | + | 0.350701i | \(0.114057\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −10.8787 | + | 42.3227i | −0.356534 | + | 1.38707i | ||||
\(932\) | 20.4853 | 0.671018 | ||||||||
\(933\) | 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 | \(0.334261\pi\) | |||||||
\(938\) | 21.6066 | − | 2.95680i | 0.705481 | − | 0.0965428i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 20.3345 | + | 35.2204i | 0.662887 | + | 1.14815i | 0.979854 | + | 0.199717i | \(0.0640022\pi\) |
−0.316967 | + | 0.948437i | \(0.602665\pi\) | |||||||
\(942\) | 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 | \(-0.719662\pi\) |
0.986173 | + | 0.165722i | \(0.0529953\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 21.8492 | + | 37.8440i | 0.709256 | + | 1.22847i | ||||
\(950\) | 15.6066 | − | 27.0314i | 0.506345 | − | 0.877015i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −6.51472 | −0.211032 | −0.105516 | − | 0.994418i | \(-0.533649\pi\) | ||||
−0.105516 | + | 0.994418i | \(0.533649\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −1.86396 | − | 3.22848i | −0.0602848 | − | 0.104416i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −13.2426 | −0.427850 | ||||||||
\(959\) | −32.3787 | − | 41.7539i | −1.04556 | − | 1.34830i | ||||
\(960\) | 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 | ||||||||
\(967\) | −6.69848 | −0.215409 | −0.107704 | − | 0.994183i | \(-0.534350\pi\) | ||||
−0.107704 | + | 0.994183i | \(0.534350\pi\) | |||||||
\(968\) | −3.50000 | + | 6.06218i | −0.112494 | + | 0.194846i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 13.2426 | − | 22.9369i | 0.424977 | − | 0.736081i | −0.571442 | − | 0.820643i | \(-0.693616\pi\) |
0.996418 | + | 0.0845617i | \(0.0269490\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 12.3934 | − | 1.69600i | 0.397314 | − | 0.0543712i | ||||
\(974\) | −2.75736 | −0.0883515 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.12132 | − | 5.40629i | −0.0999110 | − | 0.173051i | ||||
\(977\) | 6.98528 | + | 12.0989i | 0.223479 | + | 0.387077i | 0.955862 | − | 0.293816i | \(-0.0949253\pi\) |
−0.732383 | + | 0.680893i | \(0.761592\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −23.2721 | −0.743779 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.36396 | + | 5.82655i | −0.107348 | + | 0.185933i | ||||
\(983\) | 7.75736 | + | 13.4361i | 0.247421 | + | 0.428546i | 0.962810 | − | 0.270181i | \(-0.0870835\pi\) |
−0.715388 | + | 0.698727i | \(0.753750\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 38.9706 | 1.23982 | ||||||||
\(989\) | 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 | ||||||||
\(994\) | −7.24264 | + | 17.7408i | −0.229723 | + | 0.562703i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7.00000 | − | 12.1244i | −0.221692 | − | 0.383982i | 0.733630 | − | 0.679549i | \(-0.237825\pi\) |
−0.955322 | + | 0.295567i | \(0.904491\pi\) | |||||||
\(998\) | 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.g.i.163.1 | ✓ | 4 | |
3.2 | odd | 2 | 1134.2.g.j.163.1 | yes | 4 | ||
7.2 | even | 3 | 7938.2.a.bq.1.2 | 2 | |||
7.4 | even | 3 | inner | 1134.2.g.i.487.1 | yes | 4 | |
7.5 | odd | 6 | 7938.2.a.bp.1.2 | 2 | |||
9.2 | odd | 6 | 1134.2.e.r.919.2 | 4 | |||
9.4 | even | 3 | 1134.2.h.r.541.1 | 4 | |||
9.5 | odd | 6 | 1134.2.h.s.541.1 | 4 | |||
9.7 | even | 3 | 1134.2.e.s.919.2 | 4 | |||
21.2 | odd | 6 | 7938.2.a.bk.1.1 | 2 | |||
21.5 | even | 6 | 7938.2.a.bj.1.1 | 2 | |||
21.11 | odd | 6 | 1134.2.g.j.487.1 | yes | 4 | ||
63.4 | even | 3 | 1134.2.e.s.865.2 | 4 | |||
63.11 | odd | 6 | 1134.2.h.s.109.2 | 4 | |||
63.25 | even | 3 | 1134.2.h.r.109.2 | 4 | |||
63.32 | odd | 6 | 1134.2.e.r.865.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1134.2.e.r.865.2 | 4 | 63.32 | odd | 6 | |||
1134.2.e.r.919.2 | 4 | 9.2 | odd | 6 | |||
1134.2.e.s.865.2 | 4 | 63.4 | even | 3 | |||
1134.2.e.s.919.2 | 4 | 9.7 | even | 3 | |||
1134.2.g.i.163.1 | ✓ | 4 | 1.1 | even | 1 | trivial | |
1134.2.g.i.487.1 | yes | 4 | 7.4 | even | 3 | inner | |
1134.2.g.j.163.1 | yes | 4 | 3.2 | odd | 2 | ||
1134.2.g.j.487.1 | yes | 4 | 21.11 | odd | 6 | ||
1134.2.h.r.109.2 | 4 | 63.25 | even | 3 | |||
1134.2.h.r.541.1 | 4 | 9.4 | even | 3 | |||
1134.2.h.s.109.2 | 4 | 63.11 | odd | 6 | |||
1134.2.h.s.541.1 | 4 | 9.5 | odd | 6 | |||
7938.2.a.bj.1.1 | 2 | 21.5 | even | 6 | |||
7938.2.a.bk.1.1 | 2 | 21.2 | odd | 6 | |||
7938.2.a.bp.1.2 | 2 | 7.5 | odd | 6 | |||
7938.2.a.bq.1.2 | 2 | 7.2 | even | 3 |