Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1815,2,Mod(364,1815)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1815, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1815.364");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1815 = 3 \cdot 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1815.c (of order \(2\), degree \(1\), 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: | \(14.4928479669\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | no (minimal twist has level 165) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 364.15 | ||
Character | \(\chi\) | \(=\) | 1815.364 |
Dual form | 1815.2.c.j.364.10 |
$q$-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 \(\left(\mathbb{Z}/1815\mathbb{Z}\right)^\times\).
\(n\) | \(727\) | \(1211\) | \(1696\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.488299i | 0.345279i | 0.984985 | + | 0.172640i | \(0.0552296\pi\) | ||||
−0.984985 | + | 0.172640i | \(0.944770\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | 1.76156 | 0.880782 | ||||||||
\(5\) | 2.10928 | − | 0.742259i | 0.943298 | − | 0.331948i | ||||
\(6\) | −0.488299 | −0.199347 | ||||||||
\(7\) | 5.10895i | 1.93100i | 0.260403 | + | 0.965500i | \(0.416145\pi\) | ||||
−0.260403 | + | 0.965500i | \(0.583855\pi\) | |||||||
\(8\) | 1.83677i | 0.649395i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0.362444 | + | 1.02996i | 0.114615 | + | 0.325701i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.76156i | 0.508520i | ||||||||
\(13\) | − | 1.81774i | − | 0.504150i | −0.967708 | − | 0.252075i | \(-0.918887\pi\) | ||
0.967708 | − | 0.252075i | \(-0.0811130\pi\) | |||||||
\(14\) | −2.49469 | −0.666735 | ||||||||
\(15\) | 0.742259 | + | 2.10928i | 0.191651 | + | 0.544613i | ||||
\(16\) | 2.62624 | 0.656559 | ||||||||
\(17\) | 0.639966i | 0.155214i | 0.996984 | + | 0.0776072i | \(0.0247280\pi\) | ||||
−0.996984 | + | 0.0776072i | \(0.975272\pi\) | |||||||
\(18\) | − | 0.488299i | − | 0.115093i | ||||||
\(19\) | 4.39788 | 1.00894 | 0.504471 | − | 0.863429i | \(-0.331688\pi\) | ||||
0.504471 | + | 0.863429i | \(0.331688\pi\) | |||||||
\(20\) | 3.71563 | − | 1.30754i | 0.830840 | − | 0.292374i | ||||
\(21\) | −5.10895 | −1.11486 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.37977i | 0.913246i | 0.889660 | + | 0.456623i | \(0.150941\pi\) | ||||
−0.889660 | + | 0.456623i | \(0.849059\pi\) | |||||||
\(24\) | −1.83677 | −0.374929 | ||||||||
\(25\) | 3.89810 | − | 3.13126i | 0.779620 | − | 0.626252i | ||||
\(26\) | 0.887599 | 0.174073 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 8.99974i | 1.70079i | ||||||||
\(29\) | −7.56018 | −1.40389 | −0.701945 | − | 0.712231i | \(-0.747685\pi\) | ||||
−0.701945 | + | 0.712231i | \(0.747685\pi\) | |||||||
\(30\) | −1.02996 | + | 0.362444i | −0.188044 | + | 0.0661730i | ||||
\(31\) | 2.20501 | 0.396032 | 0.198016 | − | 0.980199i | \(-0.436550\pi\) | ||||
0.198016 | + | 0.980199i | \(0.436550\pi\) | |||||||
\(32\) | 4.95592i | 0.876092i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.312494 | −0.0535924 | ||||||||
\(35\) | 3.79216 | + | 10.7762i | 0.640993 | + | 1.82151i | ||||
\(36\) | −1.76156 | −0.293594 | ||||||||
\(37\) | − | 5.97194i | − | 0.981780i | −0.871221 | − | 0.490890i | \(-0.836672\pi\) | ||
0.871221 | − | 0.490890i | \(-0.163328\pi\) | |||||||
\(38\) | 2.14748i | 0.348367i | ||||||||
\(39\) | 1.81774 | 0.291071 | ||||||||
\(40\) | 1.36336 | + | 3.87425i | 0.215566 | + | 0.612573i | ||||
\(41\) | −2.23182 | −0.348551 | −0.174276 | − | 0.984697i | \(-0.555758\pi\) | ||||
−0.174276 | + | 0.984697i | \(0.555758\pi\) | |||||||
\(42\) | − | 2.49469i | − | 0.384939i | ||||||
\(43\) | − | 3.38068i | − | 0.515549i | −0.966205 | − | 0.257775i | \(-0.917011\pi\) | ||
0.966205 | − | 0.257775i | \(-0.0829892\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.10928 | + | 0.742259i | −0.314433 | + | 0.110649i | ||||
\(46\) | −2.13864 | −0.315325 | ||||||||
\(47\) | 1.51581i | 0.221103i | 0.993870 | + | 0.110552i | \(0.0352617\pi\) | ||||
−0.993870 | + | 0.110552i | \(0.964738\pi\) | |||||||
\(48\) | 2.62624i | 0.379065i | ||||||||
\(49\) | −19.1013 | −2.72876 | ||||||||
\(50\) | 1.52899 | + | 1.90344i | 0.216232 | + | 0.269187i | ||||
\(51\) | −0.639966 | −0.0896131 | ||||||||
\(52\) | − | 3.20206i | − | 0.444046i | ||||||
\(53\) | − | 9.17695i | − | 1.26055i | −0.776372 | − | 0.630275i | \(-0.782942\pi\) | ||
0.776372 | − | 0.630275i | \(-0.217058\pi\) | |||||||
\(54\) | 0.488299 | 0.0664491 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −9.38395 | −1.25398 | ||||||||
\(57\) | 4.39788i | 0.582513i | ||||||||
\(58\) | − | 3.69163i | − | 0.484734i | ||||||
\(59\) | −5.37174 | −0.699341 | −0.349671 | − | 0.936873i | \(-0.613706\pi\) | ||||
−0.349671 | + | 0.936873i | \(0.613706\pi\) | |||||||
\(60\) | 1.30754 | + | 3.71563i | 0.168802 | + | 0.479685i | ||||
\(61\) | 7.26768 | 0.930531 | 0.465266 | − | 0.885171i | \(-0.345959\pi\) | ||||
0.465266 | + | 0.885171i | \(0.345959\pi\) | |||||||
\(62\) | 1.07670i | 0.136742i | ||||||||
\(63\) | − | 5.10895i | − | 0.643667i | ||||||
\(64\) | 2.83250 | 0.354063 | ||||||||
\(65\) | −1.34923 | − | 3.83411i | −0.167352 | − | 0.475563i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.25598i | 0.886459i | 0.896408 | + | 0.443230i | \(0.146167\pi\) | ||||
−0.896408 | + | 0.443230i | \(0.853833\pi\) | |||||||
\(68\) | 1.12734i | 0.136710i | ||||||||
\(69\) | −4.37977 | −0.527263 | ||||||||
\(70\) | −5.26200 | + | 1.85171i | −0.628929 | + | 0.221322i | ||||
\(71\) | 5.50864 | 0.653756 | 0.326878 | − | 0.945067i | \(-0.394003\pi\) | ||||
0.326878 | + | 0.945067i | \(0.394003\pi\) | |||||||
\(72\) | − | 1.83677i | − | 0.216465i | ||||||
\(73\) | 7.14322i | 0.836051i | 0.908435 | + | 0.418026i | \(0.137278\pi\) | ||||
−0.908435 | + | 0.418026i | \(0.862722\pi\) | |||||||
\(74\) | 2.91609 | 0.338988 | ||||||||
\(75\) | 3.13126 | + | 3.89810i | 0.361567 | + | 0.450114i | ||||
\(76\) | 7.74714 | 0.888658 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.887599i | 0.100501i | ||||||||
\(79\) | −1.90516 | −0.214347 | −0.107174 | − | 0.994240i | \(-0.534180\pi\) | ||||
−0.107174 | + | 0.994240i | \(0.534180\pi\) | |||||||
\(80\) | 5.53946 | − | 1.94935i | 0.619331 | − | 0.217944i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 1.08979i | − | 0.120348i | ||||||
\(83\) | − | 0.161902i | − | 0.0177710i | −0.999961 | − | 0.00888551i | \(-0.997172\pi\) | ||
0.999961 | − | 0.00888551i | \(-0.00282838\pi\) | |||||||
\(84\) | −8.99974 | −0.981952 | ||||||||
\(85\) | 0.475021 | + | 1.34987i | 0.0515232 | + | 0.146413i | ||||
\(86\) | 1.65078 | 0.178009 | ||||||||
\(87\) | − | 7.56018i | − | 0.810536i | ||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.19539 | 0.126711 | 0.0633554 | − | 0.997991i | \(-0.479820\pi\) | ||||
0.0633554 | + | 0.997991i | \(0.479820\pi\) | |||||||
\(90\) | −0.362444 | − | 1.02996i | −0.0382050 | − | 0.108567i | ||||
\(91\) | 9.28673 | 0.973514 | ||||||||
\(92\) | 7.71525i | 0.804371i | ||||||||
\(93\) | 2.20501i | 0.228649i | ||||||||
\(94\) | −0.740167 | −0.0763424 | ||||||||
\(95\) | 9.27634 | − | 3.26436i | 0.951732 | − | 0.334917i | ||||
\(96\) | −4.95592 | −0.505812 | ||||||||
\(97\) | − | 14.2823i | − | 1.45015i | −0.688672 | − | 0.725073i | \(-0.741806\pi\) | ||
0.688672 | − | 0.725073i | \(-0.258194\pi\) | |||||||
\(98\) | − | 9.32716i | − | 0.942185i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.86676 | − | 5.51592i | 0.686676 | − | 0.551592i | ||||
\(101\) | −4.29089 | −0.426960 | −0.213480 | − | 0.976947i | \(-0.568480\pi\) | ||||
−0.213480 | + | 0.976947i | \(0.568480\pi\) | |||||||
\(102\) | − | 0.312494i | − | 0.0309416i | ||||||
\(103\) | 9.49802i | 0.935868i | 0.883763 | + | 0.467934i | \(0.155002\pi\) | ||||
−0.883763 | + | 0.467934i | \(0.844998\pi\) | |||||||
\(104\) | 3.33876 | 0.327393 | ||||||||
\(105\) | −10.7762 | + | 3.79216i | −1.05165 | + | 0.370077i | ||||
\(106\) | 4.48109 | 0.435242 | ||||||||
\(107\) | − | 8.27470i | − | 0.799945i | −0.916527 | − | 0.399973i | \(-0.869020\pi\) | ||
0.916527 | − | 0.399973i | \(-0.130980\pi\) | |||||||
\(108\) | − | 1.76156i | − | 0.169507i | ||||||
\(109\) | 12.4980 | 1.19709 | 0.598546 | − | 0.801089i | \(-0.295745\pi\) | ||||
0.598546 | + | 0.801089i | \(0.295745\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.97194 | 0.566831 | ||||||||
\(112\) | 13.4173i | 1.26782i | ||||||||
\(113\) | − | 16.2096i | − | 1.52487i | −0.647065 | − | 0.762435i | \(-0.724004\pi\) | ||
0.647065 | − | 0.762435i | \(-0.275996\pi\) | |||||||
\(114\) | −2.14748 | −0.201130 | ||||||||
\(115\) | 3.25093 | + | 9.23816i | 0.303151 | + | 0.861463i | ||||
\(116\) | −13.3177 | −1.23652 | ||||||||
\(117\) | 1.81774i | 0.168050i | ||||||||
\(118\) | − | 2.62302i | − | 0.241468i | ||||||
\(119\) | −3.26955 | −0.299719 | ||||||||
\(120\) | −3.87425 | + | 1.36336i | −0.353669 | + | 0.124457i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 3.54880i | 0.321293i | ||||||||
\(123\) | − | 2.23182i | − | 0.201236i | ||||||
\(124\) | 3.88427 | 0.348817 | ||||||||
\(125\) | 5.89797 | − | 9.49810i | 0.527530 | − | 0.849536i | ||||
\(126\) | 2.49469 | 0.222245 | ||||||||
\(127\) | − | 9.88086i | − | 0.876785i | −0.898784 | − | 0.438392i | \(-0.855548\pi\) | ||
0.898784 | − | 0.438392i | \(-0.144452\pi\) | |||||||
\(128\) | 11.2950i | 0.998342i | ||||||||
\(129\) | 3.38068 | 0.297653 | ||||||||
\(130\) | 1.87219 | − | 0.658829i | 0.164202 | − | 0.0577831i | ||||
\(131\) | −12.7829 | −1.11685 | −0.558425 | − | 0.829555i | \(-0.688594\pi\) | ||||
−0.558425 | + | 0.829555i | \(0.688594\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 22.4685i | 1.94827i | ||||||||
\(134\) | −3.54309 | −0.306076 | ||||||||
\(135\) | −0.742259 | − | 2.10928i | −0.0638835 | − | 0.181538i | ||||
\(136\) | −1.17547 | −0.100796 | ||||||||
\(137\) | 19.0589i | 1.62831i | 0.580645 | + | 0.814157i | \(0.302800\pi\) | ||||
−0.580645 | + | 0.814157i | \(0.697200\pi\) | |||||||
\(138\) | − | 2.13864i | − | 0.182053i | ||||||
\(139\) | 11.7146 | 0.993622 | 0.496811 | − | 0.867859i | \(-0.334504\pi\) | ||||
0.496811 | + | 0.867859i | \(0.334504\pi\) | |||||||
\(140\) | 6.68014 | + | 18.9829i | 0.564575 | + | 1.60435i | ||||
\(141\) | −1.51581 | −0.127654 | ||||||||
\(142\) | 2.68986i | 0.225728i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −2.62624 | −0.218853 | ||||||||
\(145\) | −15.9465 | + | 5.61161i | −1.32429 | + | 0.466019i | ||||
\(146\) | −3.48803 | −0.288671 | ||||||||
\(147\) | − | 19.1013i | − | 1.57545i | ||||||
\(148\) | − | 10.5199i | − | 0.864735i | ||||||
\(149\) | −7.45724 | −0.610921 | −0.305461 | − | 0.952205i | \(-0.598810\pi\) | ||||
−0.305461 | + | 0.952205i | \(0.598810\pi\) | |||||||
\(150\) | −1.90344 | + | 1.52899i | −0.155415 | + | 0.124842i | ||||
\(151\) | −4.95905 | −0.403562 | −0.201781 | − | 0.979431i | \(-0.564673\pi\) | ||||
−0.201781 | + | 0.979431i | \(0.564673\pi\) | |||||||
\(152\) | 8.07787i | 0.655202i | ||||||||
\(153\) | − | 0.639966i | − | 0.0517382i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.65098 | − | 1.63669i | 0.373576 | − | 0.131462i | ||||
\(156\) | 3.20206 | 0.256370 | ||||||||
\(157\) | 20.5916i | 1.64339i | 0.569930 | + | 0.821693i | \(0.306970\pi\) | ||||
−0.569930 | + | 0.821693i | \(0.693030\pi\) | |||||||
\(158\) | − | 0.930287i | − | 0.0740096i | ||||||
\(159\) | 9.17695 | 0.727779 | ||||||||
\(160\) | 3.67858 | + | 10.4534i | 0.290817 | + | 0.826415i | ||||
\(161\) | −22.3760 | −1.76348 | ||||||||
\(162\) | 0.488299i | 0.0383644i | ||||||||
\(163\) | 7.22774i | 0.566120i | 0.959102 | + | 0.283060i | \(0.0913496\pi\) | ||||
−0.959102 | + | 0.283060i | \(0.908650\pi\) | |||||||
\(164\) | −3.93149 | −0.306998 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.0790564 | 0.00613597 | ||||||||
\(167\) | − | 18.3130i | − | 1.41710i | −0.705660 | − | 0.708550i | \(-0.749349\pi\) | ||
0.705660 | − | 0.708550i | \(-0.250651\pi\) | |||||||
\(168\) | − | 9.38395i | − | 0.723987i | ||||||
\(169\) | 9.69583 | 0.745833 | ||||||||
\(170\) | −0.659138 | + | 0.231952i | −0.0505535 | + | 0.0177899i | ||||
\(171\) | −4.39788 | −0.336314 | ||||||||
\(172\) | − | 5.95529i | − | 0.454087i | ||||||
\(173\) | − | 12.0157i | − | 0.913536i | −0.889586 | − | 0.456768i | \(-0.849007\pi\) | ||
0.889586 | − | 0.456768i | \(-0.150993\pi\) | |||||||
\(174\) | 3.69163 | 0.279862 | ||||||||
\(175\) | 15.9974 | + | 19.9152i | 1.20929 | + | 1.50545i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 5.37174i | − | 0.403765i | ||||||
\(178\) | 0.583706i | 0.0437506i | ||||||||
\(179\) | 6.71004 | 0.501532 | 0.250766 | − | 0.968048i | \(-0.419318\pi\) | ||||
0.250766 | + | 0.968048i | \(0.419318\pi\) | |||||||
\(180\) | −3.71563 | + | 1.30754i | −0.276947 | + | 0.0974581i | ||||
\(181\) | −11.3348 | −0.842508 | −0.421254 | − | 0.906943i | \(-0.638410\pi\) | ||||
−0.421254 | + | 0.906943i | \(0.638410\pi\) | |||||||
\(182\) | 4.53470i | 0.336134i | ||||||||
\(183\) | 7.26768i | 0.537242i | ||||||||
\(184\) | −8.04463 | −0.593058 | ||||||||
\(185\) | −4.43273 | − | 12.5965i | −0.325900 | − | 0.926111i | ||||
\(186\) | −1.07670 | −0.0789478 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 2.67019i | 0.194744i | ||||||||
\(189\) | 5.10895 | 0.371621 | ||||||||
\(190\) | 1.59399 | + | 4.52963i | 0.115640 | + | 0.328614i | ||||
\(191\) | 11.0864 | 0.802186 | 0.401093 | − | 0.916037i | \(-0.368630\pi\) | ||||
0.401093 | + | 0.916037i | \(0.368630\pi\) | |||||||
\(192\) | 2.83250i | 0.204418i | ||||||||
\(193\) | − | 1.19205i | − | 0.0858056i | −0.999079 | − | 0.0429028i | \(-0.986339\pi\) | ||
0.999079 | − | 0.0429028i | \(-0.0136606\pi\) | |||||||
\(194\) | 6.97402 | 0.500705 | ||||||||
\(195\) | 3.83411 | − | 1.34923i | 0.274567 | − | 0.0966206i | ||||
\(196\) | −33.6482 | −2.40344 | ||||||||
\(197\) | 18.3551i | 1.30775i | 0.756604 | + | 0.653873i | \(0.226857\pi\) | ||||
−0.756604 | + | 0.653873i | \(0.773143\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −22.1761 | −1.57202 | −0.786011 | − | 0.618213i | \(-0.787857\pi\) | ||||
−0.786011 | + | 0.618213i | \(0.787857\pi\) | |||||||
\(200\) | 5.75140 | + | 7.15991i | 0.406685 | + | 0.506282i | ||||
\(201\) | −7.25598 | −0.511798 | ||||||||
\(202\) | − | 2.09524i | − | 0.147420i | ||||||
\(203\) | − | 38.6246i | − | 2.71091i | ||||||
\(204\) | −1.12734 | −0.0789296 | ||||||||
\(205\) | −4.70752 | + | 1.65659i | −0.328787 | + | 0.115701i | ||||
\(206\) | −4.63787 | −0.323136 | ||||||||
\(207\) | − | 4.37977i | − | 0.304415i | ||||||
\(208\) | − | 4.77381i | − | 0.331004i | ||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −1.85171 | − | 5.26200i | −0.127780 | − | 0.363112i | ||||
\(211\) | 8.30729 | 0.571897 | 0.285949 | − | 0.958245i | \(-0.407691\pi\) | ||||
0.285949 | + | 0.958245i | \(0.407691\pi\) | |||||||
\(212\) | − | 16.1658i | − | 1.11027i | ||||||
\(213\) | 5.50864i | 0.377446i | ||||||||
\(214\) | 4.04052 | 0.276205 | ||||||||
\(215\) | −2.50934 | − | 7.13080i | −0.171136 | − | 0.486316i | ||||
\(216\) | 1.83677 | 0.124976 | ||||||||
\(217\) | 11.2653i | 0.764737i | ||||||||
\(218\) | 6.10276i | 0.413331i | ||||||||
\(219\) | −7.14322 | −0.482694 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.16329 | 0.0782514 | ||||||||
\(222\) | 2.91609i | 0.195715i | ||||||||
\(223\) | 16.5497i | 1.10825i | 0.832434 | + | 0.554124i | \(0.186947\pi\) | ||||
−0.832434 | + | 0.554124i | \(0.813053\pi\) | |||||||
\(224\) | −25.3195 | −1.69173 | ||||||||
\(225\) | −3.89810 | + | 3.13126i | −0.259873 | + | 0.208751i | ||||
\(226\) | 7.91513 | 0.526506 | ||||||||
\(227\) | 8.48300i | 0.563036i | 0.959556 | + | 0.281518i | \(0.0908380\pi\) | ||||
−0.959556 | + | 0.281518i | \(0.909162\pi\) | |||||||
\(228\) | 7.74714i | 0.513067i | ||||||||
\(229\) | 3.39892 | 0.224607 | 0.112303 | − | 0.993674i | \(-0.464177\pi\) | ||||
0.112303 | + | 0.993674i | \(0.464177\pi\) | |||||||
\(230\) | −4.51098 | + | 1.58742i | −0.297445 | + | 0.104672i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 13.8863i | − | 0.911680i | ||||||
\(233\) | − | 15.7123i | − | 1.02935i | −0.857386 | − | 0.514675i | \(-0.827913\pi\) | ||
0.857386 | − | 0.514675i | \(-0.172087\pi\) | |||||||
\(234\) | −0.887599 | −0.0580242 | ||||||||
\(235\) | 1.12512 | + | 3.19726i | 0.0733949 | + | 0.208566i | ||||
\(236\) | −9.46267 | −0.615967 | ||||||||
\(237\) | − | 1.90516i | − | 0.123753i | ||||||
\(238\) | − | 1.59652i | − | 0.103487i | ||||||
\(239\) | −30.6972 | −1.98564 | −0.992819 | − | 0.119624i | \(-0.961831\pi\) | ||||
−0.992819 | + | 0.119624i | \(0.961831\pi\) | |||||||
\(240\) | 1.94935 | + | 5.53946i | 0.125830 | + | 0.357571i | ||||
\(241\) | 5.59097 | 0.360146 | 0.180073 | − | 0.983653i | \(-0.442367\pi\) | ||||
0.180073 | + | 0.983653i | \(0.442367\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 12.8025 | 0.819595 | ||||||||
\(245\) | −40.2900 | + | 14.1781i | −2.57403 | + | 0.905808i | ||||
\(246\) | 1.08979 | 0.0694827 | ||||||||
\(247\) | − | 7.99419i | − | 0.508658i | ||||||
\(248\) | 4.05009i | 0.257181i | ||||||||
\(249\) | 0.161902 | 0.0102601 | ||||||||
\(250\) | 4.63791 | + | 2.87997i | 0.293327 | + | 0.182145i | ||||
\(251\) | 18.7237 | 1.18183 | 0.590915 | − | 0.806734i | \(-0.298767\pi\) | ||||
0.590915 | + | 0.806734i | \(0.298767\pi\) | |||||||
\(252\) | − | 8.99974i | − | 0.566930i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 4.82481 | 0.302736 | ||||||||
\(255\) | −1.34987 | + | 0.475021i | −0.0845318 | + | 0.0297469i | ||||
\(256\) | 0.149694 | 0.00935585 | ||||||||
\(257\) | 4.98215i | 0.310778i | 0.987853 | + | 0.155389i | \(0.0496631\pi\) | ||||
−0.987853 | + | 0.155389i | \(0.950337\pi\) | |||||||
\(258\) | 1.65078i | 0.102773i | ||||||||
\(259\) | 30.5103 | 1.89582 | ||||||||
\(260\) | −2.37676 | − | 6.75404i | −0.147400 | − | 0.418868i | ||||
\(261\) | 7.56018 | 0.467963 | ||||||||
\(262\) | − | 6.24190i | − | 0.385626i | ||||||
\(263\) | − | 20.0788i | − | 1.23811i | −0.785347 | − | 0.619055i | \(-0.787516\pi\) | ||
0.785347 | − | 0.619055i | \(-0.212484\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.81167 | − | 19.3567i | −0.418438 | − | 1.18907i | ||||
\(266\) | −10.9713 | −0.672696 | ||||||||
\(267\) | 1.19539i | 0.0731565i | ||||||||
\(268\) | 12.7819i | 0.780778i | ||||||||
\(269\) | 9.53027 | 0.581071 | 0.290535 | − | 0.956864i | \(-0.406167\pi\) | ||||
0.290535 | + | 0.956864i | \(0.406167\pi\) | |||||||
\(270\) | 1.02996 | − | 0.362444i | 0.0626812 | − | 0.0220577i | ||||
\(271\) | −1.18095 | −0.0717375 | −0.0358688 | − | 0.999357i | \(-0.511420\pi\) | ||||
−0.0358688 | + | 0.999357i | \(0.511420\pi\) | |||||||
\(272\) | 1.68070i | 0.101908i | ||||||||
\(273\) | 9.28673i | 0.562058i | ||||||||
\(274\) | −9.30645 | −0.562223 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −7.71525 | −0.464404 | ||||||||
\(277\) | 8.22177i | 0.493998i | 0.969016 | + | 0.246999i | \(0.0794445\pi\) | ||||
−0.969016 | + | 0.246999i | \(0.920556\pi\) | |||||||
\(278\) | 5.72024i | 0.343077i | ||||||||
\(279\) | −2.20501 | −0.132011 | ||||||||
\(280\) | −19.7933 | + | 6.96532i | −1.18288 | + | 0.416258i | ||||
\(281\) | 10.4453 | 0.623116 | 0.311558 | − | 0.950227i | \(-0.399149\pi\) | ||||
0.311558 | + | 0.950227i | \(0.399149\pi\) | |||||||
\(282\) | − | 0.740167i | − | 0.0440763i | ||||||
\(283\) | − | 24.8463i | − | 1.47696i | −0.674275 | − | 0.738480i | \(-0.735544\pi\) | ||
0.674275 | − | 0.738480i | \(-0.264456\pi\) | |||||||
\(284\) | 9.70383 | 0.575816 | ||||||||
\(285\) | 3.26436 | + | 9.27634i | 0.193364 | + | 0.549483i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 11.4022i | − | 0.673052i | ||||||
\(288\) | − | 4.95592i | − | 0.292031i | ||||||
\(289\) | 16.5904 | 0.975908 | ||||||||
\(290\) | −2.74014 | − | 7.78666i | −0.160907 | − | 0.457249i | ||||
\(291\) | 14.2823 | 0.837242 | ||||||||
\(292\) | 12.5832i | 0.736379i | ||||||||
\(293\) | − | 24.8264i | − | 1.45037i | −0.688553 | − | 0.725186i | \(-0.741754\pi\) | ||
0.688553 | − | 0.725186i | \(-0.258246\pi\) | |||||||
\(294\) | 9.32716 | 0.543971 | ||||||||
\(295\) | −11.3305 | + | 3.98723i | −0.659687 | + | 0.232145i | ||||
\(296\) | 10.9691 | 0.637563 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 3.64136i | − | 0.210939i | ||||||
\(299\) | 7.96128 | 0.460413 | ||||||||
\(300\) | 5.51592 | + | 6.86676i | 0.318462 | + | 0.396452i | ||||
\(301\) | 17.2717 | 0.995526 | ||||||||
\(302\) | − | 2.42150i | − | 0.139342i | ||||||
\(303\) | − | 4.29089i | − | 0.246505i | ||||||
\(304\) | 11.5499 | 0.662430 | ||||||||
\(305\) | 15.3296 | − | 5.39450i | 0.877768 | − | 0.308888i | ||||
\(306\) | 0.312494 | 0.0178641 | ||||||||
\(307\) | 12.4687i | 0.711624i | 0.934557 | + | 0.355812i | \(0.115796\pi\) | ||||
−0.934557 | + | 0.355812i | \(0.884204\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.49802 | −0.540324 | ||||||||
\(310\) | 0.799194 | + | 2.27107i | 0.0453911 | + | 0.128988i | ||||
\(311\) | −3.15914 | −0.179138 | −0.0895692 | − | 0.995981i | \(-0.528549\pi\) | ||||
−0.0895692 | + | 0.995981i | \(0.528549\pi\) | |||||||
\(312\) | 3.33876i | 0.189020i | ||||||||
\(313\) | − | 14.2948i | − | 0.807988i | −0.914762 | − | 0.403994i | \(-0.867622\pi\) | ||
0.914762 | − | 0.403994i | \(-0.132378\pi\) | |||||||
\(314\) | −10.0548 | −0.567427 | ||||||||
\(315\) | −3.79216 | − | 10.7762i | −0.213664 | − | 0.607169i | ||||
\(316\) | −3.35606 | −0.188793 | ||||||||
\(317\) | 26.8771i | 1.50957i | 0.655974 | + | 0.754784i | \(0.272258\pi\) | ||||
−0.655974 | + | 0.754784i | \(0.727742\pi\) | |||||||
\(318\) | 4.48109i | 0.251287i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 5.97453 | − | 2.10245i | 0.333987 | − | 0.117531i | ||||
\(321\) | 8.27470 | 0.461849 | ||||||||
\(322\) | − | 10.9262i | − | 0.608893i | ||||||
\(323\) | 2.81449i | 0.156602i | ||||||||
\(324\) | 1.76156 | 0.0978647 | ||||||||
\(325\) | −5.69181 | − | 7.08573i | −0.315725 | − | 0.393046i | ||||
\(326\) | −3.52930 | −0.195470 | ||||||||
\(327\) | 12.4980i | 0.691141i | ||||||||
\(328\) | − | 4.09933i | − | 0.226347i | ||||||
\(329\) | −7.74418 | −0.426950 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.7763 | 1.08700 | 0.543502 | − | 0.839408i | \(-0.317098\pi\) | ||||
0.543502 | + | 0.839408i | \(0.317098\pi\) | |||||||
\(332\) | − | 0.285200i | − | 0.0156524i | ||||||
\(333\) | 5.97194i | 0.327260i | ||||||||
\(334\) | 8.94221 | 0.489296 | ||||||||
\(335\) | 5.38582 | + | 15.3049i | 0.294259 | + | 0.836195i | ||||
\(336\) | −13.4173 | −0.731974 | ||||||||
\(337\) | − | 14.2580i | − | 0.776685i | −0.921515 | − | 0.388343i | \(-0.873048\pi\) | ||
0.921515 | − | 0.388343i | \(-0.126952\pi\) | |||||||
\(338\) | 4.73446i | 0.257521i | ||||||||
\(339\) | 16.2096 | 0.880384 | ||||||||
\(340\) | 0.836779 | + | 2.37787i | 0.0453807 | + | 0.128958i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 2.14748i | − | 0.116122i | ||||||
\(343\) | − | 61.8251i | − | 3.33824i | ||||||
\(344\) | 6.20953 | 0.334795 | ||||||||
\(345\) | −9.23816 | + | 3.25093i | −0.497366 | + | 0.175024i | ||||
\(346\) | 5.86725 | 0.315425 | ||||||||
\(347\) | − | 15.7954i | − | 0.847940i | −0.905676 | − | 0.423970i | \(-0.860636\pi\) | ||
0.905676 | − | 0.423970i | \(-0.139364\pi\) | |||||||
\(348\) | − | 13.3177i | − | 0.713906i | ||||||
\(349\) | −1.71442 | −0.0917705 | −0.0458853 | − | 0.998947i | \(-0.514611\pi\) | ||||
−0.0458853 | + | 0.998947i | \(0.514611\pi\) | |||||||
\(350\) | −9.72457 | + | 7.81153i | −0.519800 | + | 0.417544i | ||||
\(351\) | −1.81774 | −0.0970237 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 13.9610i | 0.743072i | 0.928419 | + | 0.371536i | \(0.121169\pi\) | ||||
−0.928419 | + | 0.371536i | \(0.878831\pi\) | |||||||
\(354\) | 2.62302 | 0.139412 | ||||||||
\(355\) | 11.6193 | − | 4.08884i | 0.616686 | − | 0.217013i | ||||
\(356\) | 2.10575 | 0.111605 | ||||||||
\(357\) | − | 3.26955i | − | 0.173043i | ||||||
\(358\) | 3.27650i | 0.173169i | ||||||||
\(359\) | 34.3062 | 1.81061 | 0.905306 | − | 0.424759i | \(-0.139641\pi\) | ||||
0.905306 | + | 0.424759i | \(0.139641\pi\) | |||||||
\(360\) | −1.36336 | − | 3.87425i | −0.0718553 | − | 0.204191i | ||||
\(361\) | 0.341312 | 0.0179638 | ||||||||
\(362\) | − | 5.53476i | − | 0.290901i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 16.3592 | 0.857453 | ||||||||
\(365\) | 5.30213 | + | 15.0670i | 0.277526 | + | 0.788645i | ||||
\(366\) | −3.54880 | −0.185499 | ||||||||
\(367\) | − | 3.61245i | − | 0.188569i | −0.995545 | − | 0.0942843i | \(-0.969944\pi\) | ||
0.995545 | − | 0.0942843i | \(-0.0300563\pi\) | |||||||
\(368\) | 11.5023i | 0.599600i | ||||||||
\(369\) | 2.23182 | 0.116184 | ||||||||
\(370\) | 6.15084 | − | 2.16449i | 0.319767 | − | 0.112527i | ||||
\(371\) | 46.8845 | 2.43412 | ||||||||
\(372\) | 3.88427i | 0.201390i | ||||||||
\(373\) | − | 18.7064i | − | 0.968579i | −0.874908 | − | 0.484290i | \(-0.839078\pi\) | ||
0.874908 | − | 0.484290i | \(-0.160922\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 9.49810 | + | 5.89797i | 0.490480 | + | 0.304570i | ||||
\(376\) | −2.78418 | −0.143583 | ||||||||
\(377\) | 13.7424i | 0.707771i | ||||||||
\(378\) | 2.49469i | 0.128313i | ||||||||
\(379\) | 9.37468 | 0.481545 | 0.240772 | − | 0.970582i | \(-0.422599\pi\) | ||||
0.240772 | + | 0.970582i | \(0.422599\pi\) | |||||||
\(380\) | 16.3409 | − | 5.75039i | 0.838269 | − | 0.294989i | ||||
\(381\) | 9.88086 | 0.506212 | ||||||||
\(382\) | 5.41349i | 0.276978i | ||||||||
\(383\) | − | 19.2155i | − | 0.981865i | −0.871198 | − | 0.490932i | \(-0.836656\pi\) | ||
0.871198 | − | 0.490932i | \(-0.163344\pi\) | |||||||
\(384\) | −11.2950 | −0.576393 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0.582076 | 0.0296269 | ||||||||
\(387\) | 3.38068i | 0.171850i | ||||||||
\(388\) | − | 25.1591i | − | 1.27726i | ||||||
\(389\) | 9.29700 | 0.471376 | 0.235688 | − | 0.971829i | \(-0.424266\pi\) | ||||
0.235688 | + | 0.971829i | \(0.424266\pi\) | |||||||
\(390\) | 0.658829 | + | 1.87219i | 0.0333611 | + | 0.0948022i | ||||
\(391\) | −2.80290 | −0.141749 | ||||||||
\(392\) | − | 35.0847i | − | 1.77205i | ||||||
\(393\) | − | 12.7829i | − | 0.644814i | ||||||
\(394\) | −8.96277 | −0.451538 | ||||||||
\(395\) | −4.01851 | + | 1.41412i | −0.202193 | + | 0.0711522i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 13.8693i | − | 0.696078i | −0.937480 | − | 0.348039i | \(-0.886848\pi\) | ||
0.937480 | − | 0.348039i | \(-0.113152\pi\) | |||||||
\(398\) | − | 10.8286i | − | 0.542787i | ||||||
\(399\) | −22.4685 | −1.12483 | ||||||||
\(400\) | 10.2373 | − | 8.22344i | 0.511867 | − | 0.411172i | ||||
\(401\) | 10.6336 | 0.531015 | 0.265507 | − | 0.964109i | \(-0.414461\pi\) | ||||
0.265507 | + | 0.964109i | \(0.414461\pi\) | |||||||
\(402\) | − | 3.54309i | − | 0.176713i | ||||||
\(403\) | − | 4.00813i | − | 0.199659i | ||||||
\(404\) | −7.55868 | −0.376058 | ||||||||
\(405\) | 2.10928 | − | 0.742259i | 0.104811 | − | 0.0368832i | ||||
\(406\) | 18.8603 | 0.936022 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | − | 1.17547i | − | 0.0581943i | ||||||
\(409\) | −3.71320 | −0.183606 | −0.0918030 | − | 0.995777i | \(-0.529263\pi\) | ||||
−0.0918030 | + | 0.995777i | \(0.529263\pi\) | |||||||
\(410\) | −0.808909 | − | 2.29868i | −0.0399492 | − | 0.113524i | ||||
\(411\) | −19.0589 | −0.940107 | ||||||||
\(412\) | 16.7314i | 0.824296i | ||||||||
\(413\) | − | 27.4439i | − | 1.35043i | ||||||
\(414\) | 2.13864 | 0.105108 | ||||||||
\(415\) | −0.120173 | − | 0.341496i | −0.00589906 | − | 0.0167634i | ||||
\(416\) | 9.00857 | 0.441682 | ||||||||
\(417\) | 11.7146i | 0.573668i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 15.8996 | 0.776745 | 0.388372 | − | 0.921503i | \(-0.373037\pi\) | ||||
0.388372 | + | 0.921503i | \(0.373037\pi\) | |||||||
\(420\) | −18.9829 | + | 6.68014i | −0.926273 | + | 0.325957i | ||||
\(421\) | 4.36664 | 0.212817 | 0.106408 | − | 0.994323i | \(-0.466065\pi\) | ||||
0.106408 | + | 0.994323i | \(0.466065\pi\) | |||||||
\(422\) | 4.05644i | 0.197464i | ||||||||
\(423\) | − | 1.51581i | − | 0.0737011i | ||||||
\(424\) | 16.8559 | 0.818596 | ||||||||
\(425\) | 2.00390 | + | 2.49465i | 0.0972034 | + | 0.121008i | ||||
\(426\) | −2.68986 | −0.130324 | ||||||||
\(427\) | 37.1302i | 1.79686i | ||||||||
\(428\) | − | 14.5764i | − | 0.704577i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.48196 | − | 1.22531i | 0.167915 | − | 0.0590897i | ||||
\(431\) | 20.1005 | 0.968209 | 0.484105 | − | 0.875010i | \(-0.339145\pi\) | ||||
0.484105 | + | 0.875010i | \(0.339145\pi\) | |||||||
\(432\) | − | 2.62624i | − | 0.126355i | ||||||
\(433\) | − | 30.7232i | − | 1.47646i | −0.674549 | − | 0.738230i | \(-0.735662\pi\) | ||
0.674549 | − | 0.738230i | \(-0.264338\pi\) | |||||||
\(434\) | −5.50082 | −0.264048 | ||||||||
\(435\) | −5.61161 | − | 15.9465i | −0.269056 | − | 0.764577i | ||||
\(436\) | 22.0160 | 1.05438 | ||||||||
\(437\) | 19.2617i | 0.921412i | ||||||||
\(438\) | − | 3.48803i | − | 0.166664i | ||||||
\(439\) | 20.6104 | 0.983679 | 0.491840 | − | 0.870686i | \(-0.336325\pi\) | ||||
0.491840 | + | 0.870686i | \(0.336325\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 19.1013 | 0.909587 | ||||||||
\(442\) | 0.568033i | 0.0270186i | ||||||||
\(443\) | 13.7997i | 0.655644i | 0.944740 | + | 0.327822i | \(0.106315\pi\) | ||||
−0.944740 | + | 0.327822i | \(0.893685\pi\) | |||||||
\(444\) | 10.5199 | 0.499255 | ||||||||
\(445\) | 2.52140 | − | 0.887288i | 0.119526 | − | 0.0420615i | ||||
\(446\) | −8.08118 | −0.382655 | ||||||||
\(447\) | − | 7.45724i | − | 0.352716i | ||||||
\(448\) | 14.4711i | 0.683696i | ||||||||
\(449\) | −27.2508 | −1.28605 | −0.643023 | − | 0.765847i | \(-0.722320\pi\) | ||||
−0.643023 | + | 0.765847i | \(0.722320\pi\) | |||||||
\(450\) | −1.52899 | − | 1.90344i | −0.0720773 | − | 0.0897290i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 28.5542i | − | 1.34308i | ||||||
\(453\) | − | 4.95905i | − | 0.232997i | ||||||
\(454\) | −4.14224 | −0.194405 | ||||||||
\(455\) | 19.5883 | − | 6.89316i | 0.918313 | − | 0.323156i | ||||
\(456\) | −8.07787 | −0.378281 | ||||||||
\(457\) | − | 4.62255i | − | 0.216234i | −0.994138 | − | 0.108117i | \(-0.965518\pi\) | ||
0.994138 | − | 0.108117i | \(-0.0344821\pi\) | |||||||
\(458\) | 1.65969i | 0.0775521i | ||||||||
\(459\) | 0.639966 | 0.0298710 | ||||||||
\(460\) | 5.72672 | + | 16.2736i | 0.267010 | + | 0.758761i | ||||
\(461\) | −25.3940 | −1.18272 | −0.591359 | − | 0.806409i | \(-0.701408\pi\) | ||||
−0.591359 | + | 0.806409i | \(0.701408\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 12.8949i | − | 0.599275i | −0.954053 | − | 0.299638i | \(-0.903134\pi\) | ||
0.954053 | − | 0.299638i | \(-0.0968658\pi\) | |||||||
\(464\) | −19.8548 | −0.921737 | ||||||||
\(465\) | 1.63669 | + | 4.65098i | 0.0758997 | + | 0.215684i | ||||
\(466\) | 7.67231 | 0.355413 | ||||||||
\(467\) | 3.81025i | 0.176317i | 0.996106 | + | 0.0881587i | \(0.0280983\pi\) | ||||
−0.996106 | + | 0.0881587i | \(0.971902\pi\) | |||||||
\(468\) | 3.20206i | 0.148015i | ||||||||
\(469\) | −37.0704 | −1.71175 | ||||||||
\(470\) | −1.56122 | + | 0.549396i | −0.0720136 | + | 0.0253417i | ||||
\(471\) | −20.5916 | −0.948809 | ||||||||
\(472\) | − | 9.86664i | − | 0.454149i | ||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0.930287 | 0.0427295 | ||||||||
\(475\) | 17.1434 | − | 13.7709i | 0.786592 | − | 0.631852i | ||||
\(476\) | −5.75952 | −0.263987 | ||||||||
\(477\) | 9.17695i | 0.420184i | ||||||||
\(478\) | − | 14.9894i | − | 0.685600i | ||||||
\(479\) | −12.2918 | −0.561625 | −0.280812 | − | 0.959763i | \(-0.590604\pi\) | ||||
−0.280812 | + | 0.959763i | \(0.590604\pi\) | |||||||
\(480\) | −10.4534 | + | 3.67858i | −0.477131 | + | 0.167903i | ||||
\(481\) | −10.8554 | −0.494964 | ||||||||
\(482\) | 2.73006i | 0.124351i | ||||||||
\(483\) | − | 22.3760i | − | 1.01814i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −10.6012 | − | 30.1253i | −0.481373 | − | 1.36792i | ||||
\(486\) | −0.488299 | −0.0221497 | ||||||||
\(487\) | 13.4389i | 0.608975i | 0.952516 | + | 0.304488i | \(0.0984852\pi\) | ||||
−0.952516 | + | 0.304488i | \(0.901515\pi\) | |||||||
\(488\) | 13.3490i | 0.604283i | ||||||||
\(489\) | −7.22774 | −0.326850 | ||||||||
\(490\) | −6.92317 | − | 19.6736i | −0.312757 | − | 0.888761i | ||||
\(491\) | −6.08182 | −0.274469 | −0.137234 | − | 0.990539i | \(-0.543821\pi\) | ||||
−0.137234 | + | 0.990539i | \(0.543821\pi\) | |||||||
\(492\) | − | 3.93149i | − | 0.177245i | ||||||
\(493\) | − | 4.83826i | − | 0.217904i | ||||||
\(494\) | 3.90355 | 0.175629 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.79088 | 0.260018 | ||||||||
\(497\) | 28.1434i | 1.26240i | ||||||||
\(498\) | 0.0790564i | 0.00354260i | ||||||||
\(499\) | −18.7942 | −0.841344 | −0.420672 | − | 0.907213i | \(-0.638206\pi\) | ||||
−0.420672 | + | 0.907213i | \(0.638206\pi\) | |||||||
\(500\) | 10.3897 | − | 16.7315i | 0.464639 | − | 0.748256i | ||||
\(501\) | 18.3130 | 0.818164 | ||||||||
\(502\) | 9.14276i | 0.408061i | ||||||||
\(503\) | − | 6.06605i | − | 0.270472i | −0.990813 | − | 0.135236i | \(-0.956821\pi\) | ||
0.990813 | − | 0.135236i | \(-0.0431793\pi\) | |||||||
\(504\) | 9.38395 | 0.417994 | ||||||||
\(505\) | −9.05068 | + | 3.18495i | −0.402750 | + | 0.141729i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9.69583i | 0.430607i | ||||||||
\(508\) | − | 17.4058i | − | 0.772256i | ||||||
\(509\) | 19.7444 | 0.875154 | 0.437577 | − | 0.899181i | \(-0.355837\pi\) | ||||
0.437577 | + | 0.899181i | \(0.355837\pi\) | |||||||
\(510\) | −0.231952 | − | 0.659138i | −0.0102710 | − | 0.0291871i | ||||
\(511\) | −36.4943 | −1.61441 | ||||||||
\(512\) | 22.6630i | 1.00157i | ||||||||
\(513\) | − | 4.39788i | − | 0.194171i | ||||||
\(514\) | −2.43278 | −0.107305 | ||||||||
\(515\) | 7.05000 | + | 20.0340i | 0.310660 | + | 0.882802i | ||||
\(516\) | 5.95529 | 0.262167 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 14.8981i | 0.654587i | ||||||||
\(519\) | 12.0157 | 0.527430 | ||||||||
\(520\) | 7.04238 | − | 2.47823i | 0.308829 | − | 0.108677i | ||||
\(521\) | −42.1434 | −1.84634 | −0.923168 | − | 0.384396i | \(-0.874410\pi\) | ||||
−0.923168 | + | 0.384396i | \(0.874410\pi\) | |||||||
\(522\) | 3.69163i | 0.161578i | ||||||||
\(523\) | 6.37047i | 0.278561i | 0.990253 | + | 0.139281i | \(0.0444790\pi\) | ||||
−0.990253 | + | 0.139281i | \(0.955521\pi\) | |||||||
\(524\) | −22.5180 | −0.983702 | ||||||||
\(525\) | −19.9152 | + | 15.9974i | −0.869170 | + | 0.698186i | ||||
\(526\) | 9.80445 | 0.427494 | ||||||||
\(527\) | 1.41113i | 0.0614698i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.81758 | 0.165982 | ||||||||
\(530\) | 9.45187 | − | 3.32613i | 0.410563 | − | 0.144478i | ||||
\(531\) | 5.37174 | 0.233114 | ||||||||
\(532\) | 39.5797i | 1.71600i | ||||||||
\(533\) | 4.05686i | 0.175722i | ||||||||
\(534\) | −0.583706 | −0.0252594 | ||||||||
\(535\) | −6.14197 | − | 17.4536i | −0.265541 | − | 0.754586i | ||||
\(536\) | −13.3276 | −0.575663 | ||||||||
\(537\) | 6.71004i | 0.289560i | ||||||||
\(538\) | 4.65362i | 0.200632i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.30754 | − | 3.71563i | −0.0562675 | − | 0.159895i | ||||
\(541\) | −12.3075 | −0.529140 | −0.264570 | − | 0.964367i | \(-0.585230\pi\) | ||||
−0.264570 | + | 0.964367i | \(0.585230\pi\) | |||||||
\(542\) | − | 0.576656i | − | 0.0247695i | ||||||
\(543\) | − | 11.3348i | − | 0.486422i | ||||||
\(544\) | −3.17162 | −0.135982 | ||||||||
\(545\) | 26.3618 | − | 9.27676i | 1.12921 | − | 0.397373i | ||||
\(546\) | −4.53470 | −0.194067 | ||||||||
\(547\) | 5.48939i | 0.234709i | 0.993090 | + | 0.117355i | \(0.0374415\pi\) | ||||
−0.993090 | + | 0.117355i | \(0.962559\pi\) | |||||||
\(548\) | 33.5735i | 1.43419i | ||||||||
\(549\) | −7.26768 | −0.310177 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −33.2487 | −1.41644 | ||||||||
\(552\) | − | 8.04463i | − | 0.342402i | ||||||
\(553\) | − | 9.73335i | − | 0.413904i | ||||||
\(554\) | −4.01468 | −0.170567 | ||||||||
\(555\) | 12.5965 | − | 4.43273i | 0.534690 | − | 0.188159i | ||||
\(556\) | 20.6361 | 0.875165 | ||||||||
\(557\) | 25.4636i | 1.07893i | 0.842009 | + | 0.539464i | \(0.181373\pi\) | ||||
−0.842009 | + | 0.539464i | \(0.818627\pi\) | |||||||
\(558\) | − | 1.07670i | − | 0.0455805i | ||||||
\(559\) | −6.14520 | −0.259914 | ||||||||
\(560\) | 9.95912 | + | 28.3008i | 0.420850 | + | 1.19593i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.10044i | 0.215149i | ||||||||
\(563\) | − | 38.3527i | − | 1.61638i | −0.588925 | − | 0.808188i | \(-0.700449\pi\) | ||
0.588925 | − | 0.808188i | \(-0.299551\pi\) | |||||||
\(564\) | −2.67019 | −0.112435 | ||||||||
\(565\) | −12.0317 | − | 34.1905i | −0.506178 | − | 1.43841i | ||||
\(566\) | 12.1324 | 0.509964 | ||||||||
\(567\) | 5.10895i | 0.214556i | ||||||||
\(568\) | 10.1181i | 0.424546i | ||||||||
\(569\) | −9.15245 | −0.383691 | −0.191845 | − | 0.981425i | \(-0.561447\pi\) | ||||
−0.191845 | + | 0.981425i | \(0.561447\pi\) | |||||||
\(570\) | −4.52963 | + | 1.59399i | −0.189725 | + | 0.0667647i | ||||
\(571\) | −18.3508 | −0.767957 | −0.383978 | − | 0.923342i | \(-0.625446\pi\) | ||||
−0.383978 | + | 0.923342i | \(0.625446\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 11.0864i | 0.463142i | ||||||||
\(574\) | 5.56769 | 0.232391 | ||||||||
\(575\) | 13.7142 | + | 17.0728i | 0.571922 | + | 0.711985i | ||||
\(576\) | −2.83250 | −0.118021 | ||||||||
\(577\) | − | 19.9317i | − | 0.829770i | −0.909874 | − | 0.414885i | \(-0.863822\pi\) | ||
0.909874 | − | 0.414885i | \(-0.136178\pi\) | |||||||
\(578\) | 8.10109i | 0.336961i | ||||||||
\(579\) | 1.19205 | 0.0495399 | ||||||||
\(580\) | −28.0908 | + | 9.88522i | −1.16641 | + | 0.410461i | ||||
\(581\) | 0.827147 | 0.0343158 | ||||||||
\(582\) | 6.97402i | 0.289082i | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −13.1204 | −0.542928 | ||||||||
\(585\) | 1.34923 | + | 3.83411i | 0.0557839 | + | 0.158521i | ||||
\(586\) | 12.1227 | 0.500784 | ||||||||
\(587\) | − | 39.5465i | − | 1.63226i | −0.577870 | − | 0.816129i | \(-0.696116\pi\) | ||
0.577870 | − | 0.816129i | \(-0.303884\pi\) | |||||||
\(588\) | − | 33.6482i | − | 1.38763i | ||||||
\(589\) | 9.69736 | 0.399573 | ||||||||
\(590\) | −1.94696 | − | 5.53267i | −0.0801550 | − | 0.227776i | ||||
\(591\) | −18.3551 | −0.755028 | ||||||||
\(592\) | − | 15.6837i | − | 0.644597i | ||||||
\(593\) | 12.3314i | 0.506391i | 0.967415 | + | 0.253195i | \(0.0814816\pi\) | ||||
−0.967415 | + | 0.253195i | \(0.918518\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.89639 | + | 2.42685i | −0.282724 | + | 0.0994913i | ||||
\(596\) | −13.1364 | −0.538088 | ||||||||
\(597\) | − | 22.1761i | − | 0.907607i | ||||||
\(598\) | 3.88748i | 0.158971i | ||||||||
\(599\) | −34.7495 | −1.41983 | −0.709913 | − | 0.704289i | \(-0.751266\pi\) | ||||
−0.709913 | + | 0.704289i | \(0.751266\pi\) | |||||||
\(600\) | −7.15991 | + | 5.75140i | −0.292302 | + | 0.234800i | ||||
\(601\) | 38.6097 | 1.57492 | 0.787462 | − | 0.616364i | \(-0.211395\pi\) | ||||
0.787462 | + | 0.616364i | \(0.211395\pi\) | |||||||
\(602\) | 8.43376i | 0.343735i | ||||||||
\(603\) | − | 7.25598i | − | 0.295486i | ||||||
\(604\) | −8.73569 | −0.355450 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 2.09524 | 0.0851132 | ||||||||
\(607\) | 6.26341i | 0.254224i | 0.991888 | + | 0.127112i | \(0.0405708\pi\) | ||||
−0.991888 | + | 0.127112i | \(0.959429\pi\) | |||||||
\(608\) | 21.7955i | 0.883926i | ||||||||
\(609\) | 38.6246 | 1.56515 | ||||||||
\(610\) | 2.63413 | + | 7.48540i | 0.106653 | + | 0.303075i | ||||
\(611\) | 2.75534 | 0.111469 | ||||||||
\(612\) | − | 1.12734i | − | 0.0455700i | ||||||
\(613\) | − | 18.9911i | − | 0.767042i | −0.923532 | − | 0.383521i | \(-0.874711\pi\) | ||
0.923532 | − | 0.383521i | \(-0.125289\pi\) | |||||||
\(614\) | −6.08844 | −0.245709 | ||||||||
\(615\) | −1.65659 | − | 4.70752i | −0.0668000 | − | 0.189825i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 7.58574i | − | 0.305390i | −0.988273 | − | 0.152695i | \(-0.951205\pi\) | ||
0.988273 | − | 0.152695i | \(-0.0487953\pi\) | |||||||
\(618\) | − | 4.63787i | − | 0.186563i | ||||||
\(619\) | −27.9795 | −1.12459 | −0.562296 | − | 0.826936i | \(-0.690082\pi\) | ||||
−0.562296 | + | 0.826936i | \(0.690082\pi\) | |||||||
\(620\) | 8.19300 | − | 2.88313i | 0.329039 | − | 0.115789i | ||||
\(621\) | 4.37977 | 0.175754 | ||||||||
\(622\) | − | 1.54260i | − | 0.0618528i | ||||||
\(623\) | 6.10717i | 0.244679i | ||||||||
\(624\) | 4.77381 | 0.191105 | ||||||||
\(625\) | 5.39040 | − | 24.4120i | 0.215616 | − | 0.976478i | ||||
\(626\) | 6.98012 | 0.278982 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 36.2734i | 1.44746i | ||||||||
\(629\) | 3.82183 | 0.152387 | ||||||||
\(630\) | 5.26200 | − | 1.85171i | 0.209643 | − | 0.0737738i | ||||
\(631\) | −25.4321 | −1.01244 | −0.506218 | − | 0.862406i | \(-0.668957\pi\) | ||||
−0.506218 | + | 0.862406i | \(0.668957\pi\) | |||||||
\(632\) | − | 3.49933i | − | 0.139196i | ||||||
\(633\) | 8.30729i | 0.330185i | ||||||||
\(634\) | −13.1240 | −0.521223 | ||||||||
\(635\) | −7.33416 | − | 20.8415i | −0.291047 | − | 0.827069i | ||||
\(636\) | 16.1658 | 0.641015 | ||||||||
\(637\) | 34.7212i | 1.37570i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −5.50864 | −0.217919 | ||||||||
\(640\) | 8.38379 | + | 23.8242i | 0.331398 | + | 0.941734i | ||||
\(641\) | −8.90150 | −0.351588 | −0.175794 | − | 0.984427i | \(-0.556249\pi\) | ||||
−0.175794 | + | 0.984427i | \(0.556249\pi\) | |||||||
\(642\) | 4.04052i | 0.159467i | ||||||||
\(643\) | − | 19.4814i | − | 0.768272i | −0.923276 | − | 0.384136i | \(-0.874499\pi\) | ||
0.923276 | − | 0.384136i | \(-0.125501\pi\) | |||||||
\(644\) | −39.4168 | −1.55324 | ||||||||
\(645\) | 7.13080 | − | 2.50934i | 0.280775 | − | 0.0988053i | ||||
\(646\) | −1.37431 | −0.0540716 | ||||||||
\(647\) | − | 32.8093i | − | 1.28987i | −0.764238 | − | 0.644934i | \(-0.776885\pi\) | ||
0.764238 | − | 0.644934i | \(-0.223115\pi\) | |||||||
\(648\) | 1.83677i | 0.0721550i | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 3.45995 | − | 2.77931i | 0.135711 | − | 0.109013i | ||||
\(651\) | −11.2653 | −0.441521 | ||||||||
\(652\) | 12.7321i | 0.498629i | ||||||||
\(653\) | 14.9010i | 0.583122i | 0.956552 | + | 0.291561i | \(0.0941747\pi\) | ||||
−0.956552 | + | 0.291561i | \(0.905825\pi\) | |||||||
\(654\) | −6.10276 | −0.238637 | ||||||||
\(655\) | −26.9628 | + | 9.48826i | −1.05352 | + | 0.370737i | ||||
\(656\) | −5.86128 | −0.228844 | ||||||||
\(657\) | − | 7.14322i | − | 0.278684i | ||||||
\(658\) | − | 3.78147i | − | 0.147417i | ||||||
\(659\) | 25.7059 | 1.00136 | 0.500680 | − | 0.865633i | \(-0.333083\pi\) | ||||
0.500680 | + | 0.865633i | \(0.333083\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −12.4887 | −0.485753 | −0.242876 | − | 0.970057i | \(-0.578091\pi\) | ||||
−0.242876 | + | 0.970057i | \(0.578091\pi\) | |||||||
\(662\) | 9.65675i | 0.375320i | ||||||||
\(663\) | 1.16329i | 0.0451784i | ||||||||
\(664\) | 0.297376 | 0.0115404 | ||||||||
\(665\) | 16.6775 | + | 47.3923i | 0.646724 | + | 1.83780i | ||||
\(666\) | −2.91609 | −0.112996 | ||||||||
\(667\) | − | 33.1119i | − | 1.28210i | ||||||
\(668\) | − | 32.2595i | − | 1.24816i | ||||||
\(669\) | −16.5497 | −0.639847 | ||||||||
\(670\) | −7.47335 | + | 2.62989i | −0.288721 | + | 0.101602i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | − | 25.3195i | − | 0.976723i | ||||||
\(673\) | 40.3440i | 1.55515i | 0.628793 | + | 0.777573i | \(0.283549\pi\) | ||||
−0.628793 | + | 0.777573i | \(0.716451\pi\) | |||||||
\(674\) | 6.96219 | 0.268173 | ||||||||
\(675\) | −3.13126 | − | 3.89810i | −0.120522 | − | 0.150038i | ||||
\(676\) | 17.0798 | 0.656916 | ||||||||
\(677\) | 5.64803i | 0.217071i | 0.994093 | + | 0.108536i | \(0.0346162\pi\) | ||||
−0.994093 | + | 0.108536i | \(0.965384\pi\) | |||||||
\(678\) | 7.91513i | 0.303979i | ||||||||
\(679\) | 72.9674 | 2.80023 | ||||||||
\(680\) | −2.47939 | + | 0.872502i | −0.0950802 | + | 0.0334589i | ||||
\(681\) | −8.48300 | −0.325069 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 26.7349i | 1.02298i | 0.859288 | + | 0.511492i | \(0.170907\pi\) | ||||
−0.859288 | + | 0.511492i | \(0.829093\pi\) | |||||||
\(684\) | −7.74714 | −0.296219 | ||||||||
\(685\) | 14.1467 | + | 40.2006i | 0.540516 | + | 1.53598i | ||||
\(686\) | 30.1891 | 1.15263 | ||||||||
\(687\) | 3.39892i | 0.129677i | ||||||||
\(688\) | − | 8.87848i | − | 0.338489i | ||||||
\(689\) | −16.6813 | −0.635506 | ||||||||
\(690\) | −1.58742 | − | 4.51098i | −0.0604322 | − | 0.171730i | ||||
\(691\) | 39.2696 | 1.49389 | 0.746943 | − | 0.664888i | \(-0.231521\pi\) | ||||
0.746943 | + | 0.664888i | \(0.231521\pi\) | |||||||
\(692\) | − | 21.1664i | − | 0.804626i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 7.71286 | 0.292776 | ||||||||
\(695\) | 24.7094 | − | 8.69530i | 0.937281 | − | 0.329831i | ||||
\(696\) | 13.8863 | 0.526359 | ||||||||
\(697\) | − | 1.42829i | − | 0.0541002i | ||||||
\(698\) | − | 0.837147i | − | 0.0316865i | ||||||
\(699\) | 15.7123 | 0.594295 | ||||||||
\(700\) | 28.1805 | + | 35.0819i | 1.06512 | + | 1.32597i | ||||
\(701\) | −7.23493 | −0.273259 | −0.136630 | − | 0.990622i | \(-0.543627\pi\) | ||||
−0.136630 | + | 0.990622i | \(0.543627\pi\) | |||||||
\(702\) | − | 0.887599i | − | 0.0335003i | ||||||
\(703\) | − | 26.2638i | − | 0.990559i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −3.19726 | + | 1.12512i | −0.120416 | + | 0.0423745i | ||||
\(706\) | −6.81716 | −0.256567 | ||||||||
\(707\) | − | 21.9219i | − | 0.824459i | ||||||
\(708\) | − | 9.46267i | − | 0.355629i | ||||||
\(709\) | 9.96887 | 0.374389 | 0.187194 | − | 0.982323i | \(-0.440061\pi\) | ||||
0.187194 | + | 0.982323i | \(0.440061\pi\) | |||||||
\(710\) | 1.99658 | + | 5.67367i | 0.0749302 | + | 0.212929i | ||||
\(711\) | 1.90516 | 0.0714490 | ||||||||
\(712\) | 2.19565i | 0.0822854i | ||||||||
\(713\) | 9.65745i | 0.361674i | ||||||||
\(714\) | 1.59652 | 0.0597482 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 11.8202 | 0.441740 | ||||||||
\(717\) | − | 30.6972i | − | 1.14641i | ||||||
\(718\) | 16.7517i | 0.625167i | ||||||||
\(719\) | −33.1006 | −1.23445 | −0.617223 | − | 0.786788i | \(-0.711742\pi\) | ||||
−0.617223 | + | 0.786788i | \(0.711742\pi\) | |||||||
\(720\) | −5.53946 | + | 1.94935i | −0.206444 | + | 0.0726480i | ||||
\(721\) | −48.5249 | −1.80716 | ||||||||
\(722\) | 0.166662i | 0.00620253i | ||||||||
\(723\) | 5.59097i | 0.207930i | ||||||||
\(724\) | −19.9669 | −0.742066 | ||||||||
\(725\) | −29.4704 | + | 23.6729i | −1.09450 | + | 0.879189i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 18.7123i | 0.694000i | 0.937865 | + | 0.347000i | \(0.112800\pi\) | ||||
−0.937865 | + | 0.347000i | \(0.887200\pi\) | |||||||
\(728\) | 17.0576i | 0.632195i | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −7.35722 | + | 2.58902i | −0.272303 | + | 0.0958240i | ||||
\(731\) | 2.16352 | 0.0800207 | ||||||||
\(732\) | 12.8025i | 0.473193i | ||||||||
\(733\) | 10.9499i | 0.404442i | 0.979340 | + | 0.202221i | \(0.0648160\pi\) | ||||
−0.979340 | + | 0.202221i | \(0.935184\pi\) | |||||||
\(734\) | 1.76396 | 0.0651089 | ||||||||
\(735\) | −14.1781 | − | 40.2900i | −0.522969 | − | 1.48612i | ||||
\(736\) | −21.7058 | −0.800087 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 1.08979i | 0.0401158i | ||||||||
\(739\) | −38.0842 | −1.40095 | −0.700474 | − | 0.713677i | \(-0.747028\pi\) | ||||
−0.700474 | + | 0.713677i | \(0.747028\pi\) | |||||||
\(740\) | −7.80853 | − | 22.1895i | −0.287047 | − | 0.815702i | ||||
\(741\) | 7.99419 | 0.293674 | ||||||||
\(742\) | 22.8937i | 0.840453i | ||||||||
\(743\) | 16.5258i | 0.606275i | 0.952947 | + | 0.303137i | \(0.0980341\pi\) | ||||
−0.952947 | + | 0.303137i | \(0.901966\pi\) | |||||||
\(744\) | −4.05009 | −0.148484 | ||||||||
\(745\) | −15.7294 | + | 5.53521i | −0.576280 | + | 0.202794i | ||||
\(746\) | 9.13430 | 0.334430 | ||||||||
\(747\) | 0.161902i | 0.00592367i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 42.2750 | 1.54469 | ||||||||
\(750\) | −2.87997 | + | 4.63791i | −0.105162 | + | 0.169353i | ||||
\(751\) | −17.9317 | −0.654336 | −0.327168 | − | 0.944966i | \(-0.606094\pi\) | ||||
−0.327168 | + | 0.944966i | \(0.606094\pi\) | |||||||
\(752\) | 3.98087i | 0.145167i | ||||||||
\(753\) | 18.7237i | 0.682329i | ||||||||
\(754\) | −6.71041 | −0.244379 | ||||||||
\(755\) | −10.4600 | + | 3.68090i | −0.380679 | + | 0.133962i | ||||
\(756\) | 8.99974 | 0.327317 | ||||||||
\(757\) | 14.0679i | 0.511307i | 0.966768 | + | 0.255653i | \(0.0822906\pi\) | ||||
−0.966768 | + | 0.255653i | \(0.917709\pi\) | |||||||
\(758\) | 4.57764i | 0.166267i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.99588 | + | 17.0385i | 0.217493 | + | 0.618051i | ||||
\(761\) | 10.1182 | 0.366783 | 0.183392 | − | 0.983040i | \(-0.441292\pi\) | ||||
0.183392 | + | 0.983040i | \(0.441292\pi\) | |||||||
\(762\) | 4.82481i | 0.174785i | ||||||||
\(763\) | 63.8516i | 2.31158i | ||||||||
\(764\) | 19.5295 | 0.706551 | ||||||||
\(765\) | −0.475021 | − | 1.34987i | −0.0171744 | − | 0.0488045i | ||||
\(766\) | 9.38289 | 0.339018 | ||||||||
\(767\) | 9.76442i | 0.352573i | ||||||||
\(768\) | 0.149694i | 0.00540160i | ||||||||
\(769\) | 16.0423 | 0.578499 | 0.289250 | − | 0.957254i | \(-0.406594\pi\) | ||||
0.289250 | + | 0.957254i | \(0.406594\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.98215 | −0.179428 | ||||||||
\(772\) | − | 2.09987i | − | 0.0755760i | ||||||
\(773\) | − | 40.4357i | − | 1.45437i | −0.686442 | − | 0.727185i | \(-0.740828\pi\) | ||
0.686442 | − | 0.727185i | \(-0.259172\pi\) | |||||||
\(774\) | −1.65078 | −0.0593362 | ||||||||
\(775\) | 8.59535 | − | 6.90446i | 0.308754 | − | 0.248016i | ||||
\(776\) | 26.2332 | 0.941718 | ||||||||
\(777\) | 30.5103i | 1.09455i | ||||||||
\(778\) | 4.53971i | 0.162757i | ||||||||
\(779\) | −9.81525 | −0.351668 | ||||||||
\(780\) | 6.75404 | − | 2.37676i | 0.241833 | − | 0.0851017i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 1.36866i | − | 0.0489430i | ||||||
\(783\) | 7.56018i | 0.270179i | ||||||||
\(784\) | −50.1646 | −1.79159 | ||||||||
\(785\) | 15.2843 | + | 43.4333i | 0.545519 | + | 1.55020i | ||||
\(786\) | 6.24190 | 0.222641 | ||||||||
\(787\) | 16.4314i | 0.585716i | 0.956156 | + | 0.292858i | \(0.0946063\pi\) | ||||
−0.956156 | + | 0.292858i | \(0.905394\pi\) | |||||||
\(788\) | 32.3337i | 1.15184i | ||||||||
\(789\) | 20.0788 | 0.714824 | ||||||||
\(790\) | −0.690514 | − | 1.96223i | −0.0245674 | − | 0.0698131i | ||||
\(791\) | 82.8140 | 2.94453 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 13.2107i | − | 0.469127i | ||||||
\(794\) | 6.77235 | 0.240342 | ||||||||
\(795\) | 19.3567 | − | 6.81167i | 0.686512 | − | 0.241585i | ||||
\(796\) | −39.0646 | −1.38461 | ||||||||
\(797\) | 11.8928i | 0.421266i | 0.977565 | + | 0.210633i | \(0.0675525\pi\) | ||||
−0.977565 | + | 0.210633i | \(0.932448\pi\) | |||||||
\(798\) | − | 10.9713i | − | 0.388381i | ||||||
\(799\) | −0.970064 | −0.0343184 | ||||||||
\(800\) | 15.5183 | + | 19.3187i | 0.548654 | + | 0.683019i | ||||
\(801\) | −1.19539 | −0.0422370 | ||||||||
\(802\) | 5.19236i | 0.183349i | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −12.7819 | −0.450782 | ||||||||
\(805\) | −47.1973 | + | 16.6088i | −1.66348 | + | 0.585384i | ||||
\(806\) | 1.95717 | 0.0689382 | ||||||||
\(807\) | 9.53027i | 0.335481i | ||||||||
\(808\) | − | 7.88137i | − | 0.277266i | ||||||
\(809\) | −39.7032 | −1.39589 | −0.697944 | − | 0.716152i | \(-0.745902\pi\) | ||||
−0.697944 | + | 0.716152i | \(0.745902\pi\) | |||||||
\(810\) | 0.362444 | + | 1.02996i | 0.0127350 | + | 0.0361890i | ||||
\(811\) | 29.1509 | 1.02363 | 0.511814 | − | 0.859096i | \(-0.328974\pi\) | ||||
0.511814 | + | 0.859096i | \(0.328974\pi\) | |||||||
\(812\) | − | 68.0396i | − | 2.38772i | ||||||
\(813\) | − | 1.18095i | − | 0.0414177i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 5.36486 | + | 15.2453i | 0.187923 | + | 0.534020i | ||||
\(816\) | −1.68070 | −0.0588363 | ||||||||
\(817\) | − | 14.8678i | − | 0.520159i | ||||||
\(818\) | − | 1.81315i | − | 0.0633954i | ||||||
\(819\) | −9.28673 | −0.324505 | ||||||||
\(820\) | −8.29260 | + | 2.91818i | −0.289590 | + | 0.101907i | ||||
\(821\) | 47.6040 | 1.66139 | 0.830696 | − | 0.556727i | \(-0.187943\pi\) | ||||
0.830696 | + | 0.556727i | \(0.187943\pi\) | |||||||
\(822\) | − | 9.30645i | − | 0.324600i | ||||||
\(823\) | − | 19.2238i | − | 0.670099i | −0.942201 | − | 0.335049i | \(-0.891247\pi\) | ||
0.942201 | − | 0.335049i | \(-0.108753\pi\) | |||||||
\(824\) | −17.4457 | −0.607748 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 13.4008 | 0.466275 | ||||||||
\(827\) | 30.6312i | 1.06515i | 0.846382 | + | 0.532576i | \(0.178776\pi\) | ||||
−0.846382 | + | 0.532576i | \(0.821224\pi\) | |||||||
\(828\) | − | 7.71525i | − | 0.268124i | ||||||
\(829\) | 44.8613 | 1.55810 | 0.779048 | − | 0.626964i | \(-0.215703\pi\) | ||||
0.779048 | + | 0.626964i | \(0.215703\pi\) | |||||||
\(830\) | 0.166752 | − | 0.0586803i | 0.00578804 | − | 0.00203682i | ||||
\(831\) | −8.22177 | −0.285210 | ||||||||
\(832\) | − | 5.14875i | − | 0.178501i | ||||||
\(833\) | − | 12.2242i | − | 0.423543i | ||||||
\(834\) | −5.72024 | −0.198076 | ||||||||
\(835\) | −13.5930 | − | 38.6272i | −0.470405 | − | 1.33675i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 2.20501i | − | 0.0762163i | ||||||
\(838\) | 7.76374i | 0.268194i | ||||||||
\(839\) | −4.34435 | −0.149984 | −0.0749919 | − | 0.997184i | \(-0.523893\pi\) | ||||
−0.0749919 | + | 0.997184i | \(0.523893\pi\) | |||||||
\(840\) | −6.96532 | − | 19.7933i | −0.240326 | − | 0.682935i | ||||
\(841\) | 28.1563 | 0.970908 | ||||||||
\(842\) | 2.13222i | 0.0734813i | ||||||||
\(843\) | 10.4453i | 0.359756i | ||||||||
\(844\) | 14.6338 | 0.503717 | ||||||||
\(845\) | 20.4512 | − | 7.19682i | 0.703542 | − | 0.247578i | ||||
\(846\) | 0.740167 | 0.0254475 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | − | 24.1008i | − | 0.827626i | ||||||
\(849\) | 24.8463 | 0.852724 | ||||||||
\(850\) | −1.21814 | + | 0.978502i | −0.0417817 | + | 0.0335623i | ||||
\(851\) | 26.1557 | 0.896607 | ||||||||
\(852\) | 9.70383i | 0.332448i | ||||||||
\(853\) | − | 40.3581i | − | 1.38183i | −0.722934 | − | 0.690917i | \(-0.757207\pi\) | ||
0.722934 | − | 0.690917i | \(-0.242793\pi\) | |||||||
\(854\) | −18.1306 | −0.620417 | ||||||||
\(855\) | −9.27634 | + | 3.26436i | −0.317244 | + | 0.111639i | ||||
\(856\) | 15.1987 | 0.519481 | ||||||||
\(857\) | − | 36.6122i | − | 1.25065i | −0.780365 | − | 0.625324i | \(-0.784967\pi\) | ||
0.780365 | − | 0.625324i | \(-0.215033\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −28.5710 | −0.974831 | −0.487415 | − | 0.873170i | \(-0.662060\pi\) | ||||
−0.487415 | + | 0.873170i | \(0.662060\pi\) | |||||||
\(860\) | −4.42037 | − | 12.5614i | −0.150733 | − | 0.428339i | ||||
\(861\) | 11.4022 | 0.388587 | ||||||||
\(862\) | 9.81507i | 0.334303i | ||||||||
\(863\) | − | 29.3094i | − | 0.997704i | −0.866687 | − | 0.498852i | \(-0.833755\pi\) | ||
0.866687 | − | 0.498852i | \(-0.166245\pi\) | |||||||
\(864\) | 4.95592 | 0.168604 | ||||||||
\(865\) | −8.91876 | − | 25.3444i | −0.303247 | − | 0.861736i | ||||
\(866\) | 15.0021 | 0.509791 | ||||||||
\(867\) | 16.5904i | 0.563441i | ||||||||
\(868\) | 19.8445i | 0.673567i | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 7.78666 | − | 2.74014i | 0.263993 | − | 0.0928996i | ||||
\(871\) | 13.1895 | 0.446908 | ||||||||
\(872\) | 22.9559i | 0.777386i | ||||||||
\(873\) | 14.2823i | 0.483382i | ||||||||
\(874\) | −9.40547 | −0.318145 | ||||||||
\(875\) | 48.5253 | + | 30.1324i | 1.64045 | + | 1.01866i | ||||
\(876\) | −12.5832 | −0.425149 | ||||||||
\(877\) | 3.67475i | 0.124087i | 0.998073 | + | 0.0620437i | \(0.0197618\pi\) | ||||
−0.998073 | + | 0.0620437i | \(0.980238\pi\) | |||||||
\(878\) | 10.0640i | 0.339644i | ||||||||
\(879\) | 24.8264 | 0.837373 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −11.1723 | −0.376403 | −0.188202 | − | 0.982130i | \(-0.560266\pi\) | ||||
−0.188202 | + | 0.982130i | \(0.560266\pi\) | |||||||
\(882\) | 9.32716i | 0.314062i | ||||||||
\(883\) | − | 42.2570i | − | 1.42206i | −0.703161 | − | 0.711030i | \(-0.748229\pi\) | ||
0.703161 | − | 0.711030i | \(-0.251771\pi\) | |||||||
\(884\) | 2.04921 | 0.0689224 | ||||||||
\(885\) | −3.98723 | − | 11.3305i | −0.134029 | − | 0.380870i | ||||
\(886\) | −6.73838 | −0.226380 | ||||||||
\(887\) | 55.8459i | 1.87512i | 0.347819 | + | 0.937562i | \(0.386922\pi\) | ||||
−0.347819 | + | 0.937562i | \(0.613078\pi\) | |||||||
\(888\) | 10.9691i | 0.368097i | ||||||||
\(889\) | 50.4808 | 1.69307 | ||||||||
\(890\) | 0.433262 | + | 1.23120i | 0.0145230 | + | 0.0412699i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 29.1533i | 0.976125i | ||||||||
\(893\) | 6.66633i | 0.223080i | ||||||||
\(894\) | 3.64136 | 0.121785 | ||||||||
\(895\) | 14.1533 | − | 4.98059i | 0.473094 | − | 0.166483i | ||||
\(896\) | −57.7053 | −1.92780 | ||||||||
\(897\) | 7.96128i | 0.265819i | ||||||||
\(898\) | − | 13.3066i | − | 0.444045i | ||||||
\(899\) | −16.6703 | −0.555985 | ||||||||
\(900\) | −6.86676 | + | 5.51592i | −0.228892 | + | 0.183864i | ||||
\(901\) | 5.87293 | 0.195656 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 17.2717i | 0.574767i | ||||||||
\(904\) | 29.7733 | 0.990244 | ||||||||
\(905\) | −23.9082 | + | 8.41335i | −0.794736 | + | 0.279669i | ||||
\(906\) | 2.42150 | 0.0804490 | ||||||||
\(907\) | 12.0875i | 0.401358i | 0.979657 | + | 0.200679i | \(0.0643149\pi\) | ||||
−0.979657 | + | 0.200679i | \(0.935685\pi\) | |||||||
\(908\) | 14.9433i | 0.495912i | ||||||||
\(909\) | 4.29089 | 0.142320 | ||||||||
\(910\) | 3.36592 | + | 9.56494i | 0.111579 | + | 0.317075i | ||||
\(911\) | −40.2306 | −1.33290 | −0.666450 | − | 0.745550i | \(-0.732187\pi\) | ||||
−0.666450 | + | 0.745550i | \(0.732187\pi\) | |||||||
\(912\) | 11.5499i | 0.382454i | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 2.25719 | 0.0746611 | ||||||||
\(915\) | 5.39450 | + | 15.3296i | 0.178337 | + | 0.506779i | ||||
\(916\) | 5.98741 | 0.197830 | ||||||||
\(917\) | − | 65.3074i | − | 2.15664i | ||||||
\(918\) | 0.312494i | 0.0103139i | ||||||||
\(919\) | −3.65013 | −0.120407 | −0.0602033 | − | 0.998186i | \(-0.519175\pi\) | ||||
−0.0602033 | + | 0.998186i | \(0.519175\pi\) | |||||||
\(920\) | −16.9683 | + | 5.97120i | −0.559430 | + | 0.196865i | ||||
\(921\) | −12.4687 | −0.410857 | ||||||||
\(922\) | − | 12.3999i | − | 0.408368i | ||||||
\(923\) | − | 10.0133i | − | 0.329591i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −18.6997 | − | 23.2792i | −0.614842 | − | 0.765416i | ||||
\(926\) | 6.29655 | 0.206917 | ||||||||
\(927\) | − | 9.49802i | − | 0.311956i | ||||||
\(928\) | − | 37.4677i | − | 1.22994i | ||||||
\(929\) | −10.0510 | −0.329762 | −0.164881 | − | 0.986313i | \(-0.552724\pi\) | ||||
−0.164881 | + | 0.986313i | \(0.552724\pi\) | |||||||
\(930\) | −2.27107 | + | 0.799194i | −0.0744712 | + | 0.0262066i | ||||
\(931\) | −84.0053 | −2.75316 | ||||||||
\(932\) | − | 27.6783i | − | 0.906632i | ||||||
\(933\) | − | 3.15914i | − | 0.103426i | ||||||
\(934\) | −1.86054 | −0.0608788 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −3.33876 | −0.109131 | ||||||||
\(937\) | 28.2337i | 0.922355i | 0.887308 | + | 0.461177i | \(0.152573\pi\) | ||||
−0.887308 | + | 0.461177i | \(0.847427\pi\) | |||||||
\(938\) | − | 18.1014i | − | 0.591033i | ||||||
\(939\) | 14.2948 | 0.466492 | ||||||||
\(940\) | 1.98197 | + | 5.63217i | 0.0646449 | + | 0.183701i | ||||
\(941\) | 32.6668 | 1.06491 | 0.532453 | − | 0.846459i | \(-0.321270\pi\) | ||||
0.532453 | + | 0.846459i | \(0.321270\pi\) | |||||||
\(942\) | − | 10.0548i | − | 0.327604i | ||||||
\(943\) | − | 9.77485i | − | 0.318313i | ||||||
\(944\) | −14.1075 | −0.459159 | ||||||||
\(945\) | 10.7762 | − | 3.79216i | 0.350549 | − | 0.123359i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 57.1073i | 1.85574i | 0.372906 | + | 0.927869i | \(0.378361\pi\) | ||||
−0.372906 | + | 0.927869i | \(0.621639\pi\) | |||||||
\(948\) | − | 3.35606i | − | 0.109000i | ||||||
\(949\) | 12.9845 | 0.421495 | ||||||||
\(950\) | 6.72431 | + | 8.37109i | 0.218166 | + | 0.271594i | ||||
\(951\) | −26.8771 | −0.871549 | ||||||||
\(952\) | − | 6.00540i | − | 0.194636i | ||||||
\(953\) | − | 4.51422i | − | 0.146230i | −0.997324 | − | 0.0731150i | \(-0.976706\pi\) | ||
0.997324 | − | 0.0731150i | \(-0.0232940\pi\) | |||||||
\(954\) | −4.48109 | −0.145081 | ||||||||
\(955\) | 23.3843 | − | 8.22900i | 0.756700 | − | 0.266284i | ||||
\(956\) | −54.0751 | −1.74891 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 6.00205i | − | 0.193917i | ||||||
\(959\) | −97.3710 | −3.14427 | ||||||||
\(960\) | 2.10245 | + | 5.97453i | 0.0678563 | + | 0.192827i | ||||
\(961\) | −26.1379 | −0.843159 | ||||||||
\(962\) | − | 5.30069i | − | 0.170901i | ||||||
\(963\) | 8.27470i | 0.266648i | ||||||||
\(964\) | 9.84886 | 0.317210 | ||||||||
\(965\) | −0.884810 | − | 2.51436i | −0.0284830 | − | 0.0809402i | ||||
\(966\) | 10.9262 | 0.351544 | ||||||||
\(967\) | − | 1.33608i | − | 0.0429654i | −0.999769 | − | 0.0214827i | \(-0.993161\pi\) | ||
0.999769 | − | 0.0214827i | \(-0.00683868\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.81449 | −0.0904144 | ||||||||
\(970\) | 14.7101 | − | 5.17653i | 0.472314 | − | 0.166208i | ||||
\(971\) | 2.71644 | 0.0871747 | 0.0435873 | − | 0.999050i | \(-0.486121\pi\) | ||||
0.0435873 | + | 0.999050i | \(0.486121\pi\) | |||||||
\(972\) | 1.76156i | 0.0565022i | ||||||||
\(973\) | 59.8494i | 1.91868i | ||||||||
\(974\) | −6.56221 | −0.210267 | ||||||||
\(975\) | 7.08573 | − | 5.69181i | 0.226925 | − | 0.182284i | ||||
\(976\) | 19.0867 | 0.610949 | ||||||||
\(977\) | 16.6829i | 0.533733i | 0.963734 | + | 0.266866i | \(0.0859882\pi\) | ||||
−0.963734 | + | 0.266866i | \(0.914012\pi\) | |||||||
\(978\) | − | 3.52930i | − | 0.112854i | ||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −70.9734 | + | 24.9757i | −2.26716 | + | 0.797820i | ||||
\(981\) | −12.4980 | −0.399031 | ||||||||
\(982\) | − | 2.96975i | − | 0.0947684i | ||||||
\(983\) | 26.2517i | 0.837298i | 0.908148 | + | 0.418649i | \(0.137496\pi\) | ||||
−0.908148 | + | 0.418649i | \(0.862504\pi\) | |||||||
\(984\) | 4.09933 | 0.130682 | ||||||||
\(985\) | 13.6242 | + | 38.7160i | 0.434105 | + | 1.23359i | ||||
\(986\) | 2.36251 | 0.0752378 | ||||||||
\(987\) | − | 7.74418i | − | 0.246500i | ||||||
\(988\) | − | 14.0823i | − | 0.448017i | ||||||
\(989\) | 14.8066 | 0.470823 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −50.3117 | −1.59821 | −0.799103 | − | 0.601195i | \(-0.794692\pi\) | ||||
−0.799103 | + | 0.601195i | \(0.794692\pi\) | |||||||
\(992\) | 10.9279i | 0.346960i | ||||||||
\(993\) | 19.7763i | 0.627583i | ||||||||
\(994\) | −13.7424 | −0.435881 | ||||||||
\(995\) | −46.7755 | + | 16.4604i | −1.48288 | + | 0.521830i | ||||
\(996\) | 0.285200 | 0.00903691 | ||||||||
\(997\) | 45.2449i | 1.43292i | 0.697628 | + | 0.716460i | \(0.254239\pi\) | ||||
−0.697628 | + | 0.716460i | \(0.745761\pi\) | |||||||
\(998\) | − | 9.17719i | − | 0.290499i | ||||||
\(999\) | −5.97194 | −0.188944 |
(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 | 1815.2.c.j.364.15 | 24 | ||
5.2 | odd | 4 | 9075.2.a.dy.1.6 | 12 | |||
5.3 | odd | 4 | 9075.2.a.dz.1.7 | 12 | |||
5.4 | even | 2 | inner | 1815.2.c.j.364.10 | 24 | ||
11.3 | even | 5 | 165.2.s.a.64.8 | yes | 48 | ||
11.4 | even | 5 | 165.2.s.a.49.5 | ✓ | 48 | ||
11.10 | odd | 2 | 1815.2.c.k.364.10 | 24 | |||
33.14 | odd | 10 | 495.2.ba.c.64.5 | 48 | |||
33.26 | odd | 10 | 495.2.ba.c.379.8 | 48 | |||
55.3 | odd | 20 | 825.2.n.o.526.4 | 24 | |||
55.4 | even | 10 | 165.2.s.a.49.8 | yes | 48 | ||
55.14 | even | 10 | 165.2.s.a.64.5 | yes | 48 | ||
55.32 | even | 4 | 9075.2.a.ea.1.7 | 12 | |||
55.37 | odd | 20 | 825.2.n.p.676.3 | 24 | |||
55.43 | even | 4 | 9075.2.a.dx.1.6 | 12 | |||
55.47 | odd | 20 | 825.2.n.p.526.3 | 24 | |||
55.48 | odd | 20 | 825.2.n.o.676.4 | 24 | |||
55.54 | odd | 2 | 1815.2.c.k.364.15 | 24 | |||
165.14 | odd | 10 | 495.2.ba.c.64.8 | 48 | |||
165.59 | odd | 10 | 495.2.ba.c.379.5 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.s.a.49.5 | ✓ | 48 | 11.4 | even | 5 | ||
165.2.s.a.49.8 | yes | 48 | 55.4 | even | 10 | ||
165.2.s.a.64.5 | yes | 48 | 55.14 | even | 10 | ||
165.2.s.a.64.8 | yes | 48 | 11.3 | even | 5 | ||
495.2.ba.c.64.5 | 48 | 33.14 | odd | 10 | |||
495.2.ba.c.64.8 | 48 | 165.14 | odd | 10 | |||
495.2.ba.c.379.5 | 48 | 165.59 | odd | 10 | |||
495.2.ba.c.379.8 | 48 | 33.26 | odd | 10 | |||
825.2.n.o.526.4 | 24 | 55.3 | odd | 20 | |||
825.2.n.o.676.4 | 24 | 55.48 | odd | 20 | |||
825.2.n.p.526.3 | 24 | 55.47 | odd | 20 | |||
825.2.n.p.676.3 | 24 | 55.37 | odd | 20 | |||
1815.2.c.j.364.10 | 24 | 5.4 | even | 2 | inner | ||
1815.2.c.j.364.15 | 24 | 1.1 | even | 1 | trivial | ||
1815.2.c.k.364.10 | 24 | 11.10 | odd | 2 | |||
1815.2.c.k.364.15 | 24 | 55.54 | odd | 2 | |||
9075.2.a.dx.1.6 | 12 | 55.43 | even | 4 | |||
9075.2.a.dy.1.6 | 12 | 5.2 | odd | 4 | |||
9075.2.a.dz.1.7 | 12 | 5.3 | odd | 4 | |||
9075.2.a.ea.1.7 | 12 | 55.32 | even | 4 |