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 | 364.8 | ||
Character | \(\chi\) | \(=\) | 1815.364 |
Dual form | 1815.2.c.j.364.17 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.803366i | − | 0.568065i | −0.958815 | − | 0.284033i | \(-0.908328\pi\) | ||
0.958815 | − | 0.284033i | \(-0.0916724\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 1.35460 | 0.677302 | ||||||||
\(5\) | 2.13623 | + | 0.660705i | 0.955350 | + | 0.295476i | ||||
\(6\) | −0.803366 | −0.327973 | ||||||||
\(7\) | 0.508505i | 0.192197i | 0.995372 | + | 0.0960984i | \(0.0306364\pi\) | ||||
−0.995372 | + | 0.0960984i | \(0.969364\pi\) | |||||||
\(8\) | − | 2.69497i | − | 0.952817i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0.530788 | − | 1.71617i | 0.167850 | − | 0.542701i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | − | 1.35460i | − | 0.391040i | ||||||
\(13\) | − | 5.13798i | − | 1.42502i | −0.701662 | − | 0.712509i | \(-0.747559\pi\) | ||
0.701662 | − | 0.712509i | \(-0.252441\pi\) | |||||||
\(14\) | 0.408516 | 0.109180 | ||||||||
\(15\) | 0.660705 | − | 2.13623i | 0.170593 | − | 0.551572i | ||||
\(16\) | 0.544158 | 0.136040 | ||||||||
\(17\) | − | 3.34542i | − | 0.811383i | −0.914010 | − | 0.405691i | \(-0.867031\pi\) | ||
0.914010 | − | 0.405691i | \(-0.132969\pi\) | |||||||
\(18\) | 0.803366i | 0.189355i | ||||||||
\(19\) | 1.17303 | 0.269113 | 0.134556 | − | 0.990906i | \(-0.457039\pi\) | ||||
0.134556 | + | 0.990906i | \(0.457039\pi\) | |||||||
\(20\) | 2.89374 | + | 0.894993i | 0.647060 | + | 0.200127i | ||||
\(21\) | 0.508505 | 0.110965 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.91459i | 0.607734i | 0.952714 | + | 0.303867i | \(0.0982779\pi\) | ||||
−0.952714 | + | 0.303867i | \(0.901722\pi\) | |||||||
\(24\) | −2.69497 | −0.550109 | ||||||||
\(25\) | 4.12694 | + | 2.82283i | 0.825388 | + | 0.564567i | ||||
\(26\) | −4.12768 | −0.809504 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 0.688823i | 0.130175i | ||||||||
\(29\) | 0.392594 | 0.0729028 | 0.0364514 | − | 0.999335i | \(-0.488395\pi\) | ||||
0.0364514 | + | 0.999335i | \(0.488395\pi\) | |||||||
\(30\) | −1.71617 | − | 0.530788i | −0.313329 | − | 0.0969081i | ||||
\(31\) | −6.35529 | −1.14144 | −0.570722 | − | 0.821143i | \(-0.693337\pi\) | ||||
−0.570722 | + | 0.821143i | \(0.693337\pi\) | |||||||
\(32\) | − | 5.82710i | − | 1.03010i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.68759 | −0.460918 | ||||||||
\(35\) | −0.335972 | + | 1.08628i | −0.0567896 | + | 0.183615i | ||||
\(36\) | −1.35460 | −0.225767 | ||||||||
\(37\) | − | 4.45218i | − | 0.731934i | −0.930628 | − | 0.365967i | \(-0.880738\pi\) | ||
0.930628 | − | 0.365967i | \(-0.119262\pi\) | |||||||
\(38\) | − | 0.942375i | − | 0.152873i | ||||||
\(39\) | −5.13798 | −0.822735 | ||||||||
\(40\) | 1.78058 | − | 5.75708i | 0.281535 | − | 0.910274i | ||||
\(41\) | −2.79867 | −0.437079 | −0.218540 | − | 0.975828i | \(-0.570129\pi\) | ||||
−0.218540 | + | 0.975828i | \(0.570129\pi\) | |||||||
\(42\) | − | 0.408516i | − | 0.0630353i | ||||||
\(43\) | − | 3.05350i | − | 0.465654i | −0.972518 | − | 0.232827i | \(-0.925202\pi\) | ||
0.972518 | − | 0.232827i | \(-0.0747976\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.13623 | − | 0.660705i | −0.318450 | − | 0.0984921i | ||||
\(46\) | 2.34148 | 0.345233 | ||||||||
\(47\) | 11.4923i | 1.67633i | 0.545421 | + | 0.838163i | \(0.316370\pi\) | ||||
−0.545421 | + | 0.838163i | \(0.683630\pi\) | |||||||
\(48\) | − | 0.544158i | − | 0.0785425i | ||||||
\(49\) | 6.74142 | 0.963060 | ||||||||
\(50\) | 2.26777 | − | 3.31544i | 0.320711 | − | 0.468874i | ||||
\(51\) | −3.34542 | −0.468452 | ||||||||
\(52\) | − | 6.95993i | − | 0.965168i | ||||||
\(53\) | − | 9.80747i | − | 1.34716i | −0.739114 | − | 0.673580i | \(-0.764756\pi\) | ||
0.739114 | − | 0.673580i | \(-0.235244\pi\) | |||||||
\(54\) | 0.803366 | 0.109324 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.37041 | 0.183128 | ||||||||
\(57\) | − | 1.17303i | − | 0.155372i | ||||||
\(58\) | − | 0.315396i | − | 0.0414136i | ||||||
\(59\) | 3.02854 | 0.394282 | 0.197141 | − | 0.980375i | \(-0.436834\pi\) | ||||
0.197141 | + | 0.980375i | \(0.436834\pi\) | |||||||
\(60\) | 0.894993 | − | 2.89374i | 0.115543 | − | 0.373580i | ||||
\(61\) | 1.05512 | 0.135095 | 0.0675473 | − | 0.997716i | \(-0.478483\pi\) | ||||
0.0675473 | + | 0.997716i | \(0.478483\pi\) | |||||||
\(62\) | 5.10562i | 0.648415i | ||||||||
\(63\) | − | 0.508505i | − | 0.0640656i | ||||||
\(64\) | −3.59298 | −0.449122 | ||||||||
\(65\) | 3.39469 | − | 10.9759i | 0.421059 | − | 1.36139i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 5.31327i | − | 0.649120i | −0.945865 | − | 0.324560i | \(-0.894784\pi\) | ||
0.945865 | − | 0.324560i | \(-0.105216\pi\) | |||||||
\(68\) | − | 4.53171i | − | 0.549551i | ||||||
\(69\) | 2.91459 | 0.350876 | ||||||||
\(70\) | 0.872682 | + | 0.269908i | 0.104305 | + | 0.0322602i | ||||
\(71\) | 4.09976 | 0.486552 | 0.243276 | − | 0.969957i | \(-0.421778\pi\) | ||||
0.243276 | + | 0.969957i | \(0.421778\pi\) | |||||||
\(72\) | 2.69497i | 0.317606i | ||||||||
\(73\) | 13.1083i | 1.53422i | 0.641518 | + | 0.767108i | \(0.278305\pi\) | ||||
−0.641518 | + | 0.767108i | \(0.721695\pi\) | |||||||
\(74\) | −3.57673 | −0.415787 | ||||||||
\(75\) | 2.82283 | − | 4.12694i | 0.325953 | − | 0.476538i | ||||
\(76\) | 1.58900 | 0.182270 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.12768i | 0.467367i | ||||||||
\(79\) | 16.1403 | 1.81593 | 0.907963 | − | 0.419051i | \(-0.137637\pi\) | ||||
0.907963 | + | 0.419051i | \(0.137637\pi\) | |||||||
\(80\) | 1.16245 | + | 0.359528i | 0.129965 | + | 0.0401965i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 2.24836i | 0.248290i | ||||||||
\(83\) | 15.3587i | 1.68584i | 0.538039 | + | 0.842920i | \(0.319165\pi\) | ||||
−0.538039 | + | 0.842920i | \(0.680835\pi\) | |||||||
\(84\) | 0.688823 | 0.0751567 | ||||||||
\(85\) | 2.21033 | − | 7.14657i | 0.239744 | − | 0.775154i | ||||
\(86\) | −2.45308 | −0.264522 | ||||||||
\(87\) | − | 0.392594i | − | 0.0420905i | ||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 9.84603 | 1.04368 | 0.521838 | − | 0.853044i | \(-0.325246\pi\) | ||||
0.521838 | + | 0.853044i | \(0.325246\pi\) | |||||||
\(90\) | −0.530788 | + | 1.71617i | −0.0559499 | + | 0.180900i | ||||
\(91\) | 2.61269 | 0.273884 | ||||||||
\(92\) | 3.94812i | 0.411620i | ||||||||
\(93\) | 6.35529i | 0.659013i | ||||||||
\(94\) | 9.23252 | 0.952262 | ||||||||
\(95\) | 2.50587 | + | 0.775030i | 0.257097 | + | 0.0795164i | ||||
\(96\) | −5.82710 | −0.594726 | ||||||||
\(97\) | − | 15.1692i | − | 1.54020i | −0.637926 | − | 0.770098i | \(-0.720207\pi\) | ||
0.637926 | − | 0.770098i | \(-0.279793\pi\) | |||||||
\(98\) | − | 5.41583i | − | 0.547081i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.59037 | + | 3.82382i | 0.559037 | + | 0.382382i | ||||
\(101\) | −16.5472 | −1.64650 | −0.823252 | − | 0.567677i | \(-0.807842\pi\) | ||||
−0.823252 | + | 0.567677i | \(0.807842\pi\) | |||||||
\(102\) | 2.68759i | 0.266111i | ||||||||
\(103\) | − | 14.3340i | − | 1.41237i | −0.708025 | − | 0.706187i | \(-0.750414\pi\) | ||
0.708025 | − | 0.706187i | \(-0.249586\pi\) | |||||||
\(104\) | −13.8467 | −1.35778 | ||||||||
\(105\) | 1.08628 | + | 0.335972i | 0.106010 | + | 0.0327875i | ||||
\(106\) | −7.87899 | −0.765275 | ||||||||
\(107\) | 6.87095i | 0.664239i | 0.943237 | + | 0.332120i | \(0.107764\pi\) | ||||
−0.943237 | + | 0.332120i | \(0.892236\pi\) | |||||||
\(108\) | 1.35460i | 0.130347i | ||||||||
\(109\) | −16.9516 | −1.62367 | −0.811833 | − | 0.583890i | \(-0.801530\pi\) | ||||
−0.811833 | + | 0.583890i | \(0.801530\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.45218 | −0.422583 | ||||||||
\(112\) | 0.276707i | 0.0261464i | ||||||||
\(113\) | 4.50913i | 0.424184i | 0.977250 | + | 0.212092i | \(0.0680276\pi\) | ||||
−0.977250 | + | 0.212092i | \(0.931972\pi\) | |||||||
\(114\) | −0.942375 | −0.0882615 | ||||||||
\(115\) | −1.92569 | + | 6.22623i | −0.179571 | + | 0.580599i | ||||
\(116\) | 0.531809 | 0.0493772 | ||||||||
\(117\) | 5.13798i | 0.475006i | ||||||||
\(118\) | − | 2.43303i | − | 0.223978i | ||||||
\(119\) | 1.70116 | 0.155945 | ||||||||
\(120\) | −5.75708 | − | 1.78058i | −0.525547 | − | 0.162544i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | − | 0.847649i | − | 0.0767425i | ||||||
\(123\) | 2.79867i | 0.252348i | ||||||||
\(124\) | −8.60890 | −0.773102 | ||||||||
\(125\) | 6.95102 | + | 8.75690i | 0.621718 | + | 0.783241i | ||||
\(126\) | −0.408516 | −0.0363935 | ||||||||
\(127\) | − | 10.6946i | − | 0.948990i | −0.880258 | − | 0.474495i | \(-0.842631\pi\) | ||
0.880258 | − | 0.474495i | \(-0.157369\pi\) | |||||||
\(128\) | − | 8.76773i | − | 0.774966i | ||||||
\(129\) | −3.05350 | −0.268846 | ||||||||
\(130\) | −8.81766 | − | 2.72718i | −0.773360 | − | 0.239189i | ||||
\(131\) | −7.00557 | −0.612079 | −0.306040 | − | 0.952019i | \(-0.599004\pi\) | ||||
−0.306040 | + | 0.952019i | \(0.599004\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.596494i | 0.0517226i | ||||||||
\(134\) | −4.26850 | −0.368742 | ||||||||
\(135\) | −0.660705 | + | 2.13623i | −0.0568644 | + | 0.183857i | ||||
\(136\) | −9.01581 | −0.773099 | ||||||||
\(137\) | 11.0079i | 0.940465i | 0.882542 | + | 0.470233i | \(0.155830\pi\) | ||||
−0.882542 | + | 0.470233i | \(0.844170\pi\) | |||||||
\(138\) | − | 2.34148i | − | 0.199320i | ||||||
\(139\) | 14.2028 | 1.20467 | 0.602334 | − | 0.798244i | \(-0.294237\pi\) | ||||
0.602334 | + | 0.798244i | \(0.294237\pi\) | |||||||
\(140\) | −0.455109 | + | 1.47148i | −0.0384637 | + | 0.124363i | ||||
\(141\) | 11.4923 | 0.967827 | ||||||||
\(142\) | − | 3.29361i | − | 0.276393i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −0.544158 | −0.0453465 | ||||||||
\(145\) | 0.838670 | + | 0.259389i | 0.0696477 | + | 0.0215411i | ||||
\(146\) | 10.5308 | 0.871535 | ||||||||
\(147\) | − | 6.74142i | − | 0.556023i | ||||||
\(148\) | − | 6.03094i | − | 0.495741i | ||||||
\(149\) | −13.0575 | −1.06971 | −0.534854 | − | 0.844944i | \(-0.679633\pi\) | ||||
−0.534854 | + | 0.844944i | \(0.679633\pi\) | |||||||
\(150\) | −3.31544 | − | 2.26777i | −0.270705 | − | 0.185162i | ||||
\(151\) | 18.3513 | 1.49340 | 0.746702 | − | 0.665158i | \(-0.231636\pi\) | ||||
0.746702 | + | 0.665158i | \(0.231636\pi\) | |||||||
\(152\) | − | 3.16130i | − | 0.256415i | ||||||
\(153\) | 3.34542i | 0.270461i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −13.5763 | − | 4.19897i | −1.09048 | − | 0.337270i | ||||
\(156\) | −6.95993 | −0.557240 | ||||||||
\(157\) | 10.9402i | 0.873127i | 0.899673 | + | 0.436563i | \(0.143805\pi\) | ||||
−0.899673 | + | 0.436563i | \(0.856195\pi\) | |||||||
\(158\) | − | 12.9666i | − | 1.03156i | ||||||
\(159\) | −9.80747 | −0.777783 | ||||||||
\(160\) | 3.85000 | − | 12.4480i | 0.304369 | − | 0.984103i | ||||
\(161\) | −1.48208 | −0.116805 | ||||||||
\(162\) | − | 0.803366i | − | 0.0631184i | ||||||
\(163\) | 23.0823i | 1.80795i | 0.427589 | + | 0.903973i | \(0.359363\pi\) | ||||
−0.427589 | + | 0.903973i | \(0.640637\pi\) | |||||||
\(164\) | −3.79109 | −0.296035 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.3387 | 0.957667 | ||||||||
\(167\) | − | 4.17425i | − | 0.323013i | −0.986872 | − | 0.161507i | \(-0.948365\pi\) | ||
0.986872 | − | 0.161507i | \(-0.0516353\pi\) | |||||||
\(168\) | − | 1.37041i | − | 0.105729i | ||||||
\(169\) | −13.3988 | −1.03068 | ||||||||
\(170\) | −5.74131 | − | 1.77571i | −0.440338 | − | 0.136190i | ||||
\(171\) | −1.17303 | −0.0897042 | ||||||||
\(172\) | − | 4.13628i | − | 0.315388i | ||||||
\(173\) | 3.71693i | 0.282593i | 0.989967 | + | 0.141297i | \(0.0451271\pi\) | ||||
−0.989967 | + | 0.141297i | \(0.954873\pi\) | |||||||
\(174\) | −0.315396 | −0.0239101 | ||||||||
\(175\) | −1.43542 | + | 2.09857i | −0.108508 | + | 0.158637i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 3.02854i | − | 0.227639i | ||||||
\(178\) | − | 7.90996i | − | 0.592876i | ||||||
\(179\) | −17.8921 | −1.33732 | −0.668661 | − | 0.743568i | \(-0.733132\pi\) | ||||
−0.668661 | + | 0.743568i | \(0.733132\pi\) | |||||||
\(180\) | −2.89374 | − | 0.894993i | −0.215687 | − | 0.0667089i | ||||
\(181\) | 15.1181 | 1.12372 | 0.561859 | − | 0.827233i | \(-0.310086\pi\) | ||||
0.561859 | + | 0.827233i | \(0.310086\pi\) | |||||||
\(182\) | − | 2.09894i | − | 0.155584i | ||||||
\(183\) | − | 1.05512i | − | 0.0779969i | ||||||
\(184\) | 7.85475 | 0.579060 | ||||||||
\(185\) | 2.94158 | − | 9.51088i | 0.216269 | − | 0.699254i | ||||
\(186\) | 5.10562 | 0.374362 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 15.5675i | 1.13538i | ||||||||
\(189\) | −0.508505 | −0.0369883 | ||||||||
\(190\) | 0.622632 | − | 2.01313i | 0.0451705 | − | 0.146048i | ||||
\(191\) | 0.745573 | 0.0539478 | 0.0269739 | − | 0.999636i | \(-0.491413\pi\) | ||||
0.0269739 | + | 0.999636i | \(0.491413\pi\) | |||||||
\(192\) | 3.59298i | 0.259301i | ||||||||
\(193\) | 8.87896i | 0.639121i | 0.947566 | + | 0.319561i | \(0.103535\pi\) | ||||
−0.947566 | + | 0.319561i | \(0.896465\pi\) | |||||||
\(194\) | −12.1864 | −0.874931 | ||||||||
\(195\) | −10.9759 | − | 3.39469i | −0.786000 | − | 0.243099i | ||||
\(196\) | 9.13196 | 0.652283 | ||||||||
\(197\) | − | 1.05280i | − | 0.0750089i | −0.999296 | − | 0.0375044i | \(-0.988059\pi\) | ||
0.999296 | − | 0.0375044i | \(-0.0119408\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.28171 | 0.161746 | 0.0808730 | − | 0.996724i | \(-0.474229\pi\) | ||||
0.0808730 | + | 0.996724i | \(0.474229\pi\) | |||||||
\(200\) | 7.60746 | − | 11.1220i | 0.537929 | − | 0.786443i | ||||
\(201\) | −5.31327 | −0.374769 | ||||||||
\(202\) | 13.2934i | 0.935321i | ||||||||
\(203\) | 0.199636i | 0.0140117i | ||||||||
\(204\) | −4.53171 | −0.317283 | ||||||||
\(205\) | −5.97860 | − | 1.84910i | −0.417564 | − | 0.129147i | ||||
\(206\) | −11.5155 | −0.802321 | ||||||||
\(207\) | − | 2.91459i | − | 0.202578i | ||||||
\(208\) | − | 2.79587i | − | 0.193859i | ||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0.269908 | − | 0.872682i | 0.0186254 | − | 0.0602208i | ||||
\(211\) | −9.56919 | −0.658771 | −0.329385 | − | 0.944196i | \(-0.606841\pi\) | ||||
−0.329385 | + | 0.944196i | \(0.606841\pi\) | |||||||
\(212\) | − | 13.2852i | − | 0.912434i | ||||||
\(213\) | − | 4.09976i | − | 0.280911i | ||||||
\(214\) | 5.51988 | 0.377331 | ||||||||
\(215\) | 2.01746 | − | 6.52297i | 0.137590 | − | 0.444863i | ||||
\(216\) | 2.69497 | 0.183370 | ||||||||
\(217\) | − | 3.23170i | − | 0.219382i | ||||||
\(218\) | 13.6183i | 0.922348i | ||||||||
\(219\) | 13.1083 | 0.885780 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −17.1887 | −1.15624 | ||||||||
\(222\) | 3.57673i | 0.240054i | ||||||||
\(223\) | − | 8.81925i | − | 0.590581i | −0.955408 | − | 0.295290i | \(-0.904584\pi\) | ||
0.955408 | − | 0.295290i | \(-0.0954164\pi\) | |||||||
\(224\) | 2.96311 | 0.197981 | ||||||||
\(225\) | −4.12694 | − | 2.82283i | −0.275129 | − | 0.188189i | ||||
\(226\) | 3.62248 | 0.240964 | ||||||||
\(227\) | 5.38764i | 0.357590i | 0.983886 | + | 0.178795i | \(0.0572199\pi\) | ||||
−0.983886 | + | 0.178795i | \(0.942780\pi\) | |||||||
\(228\) | − | 1.58900i | − | 0.105234i | ||||||
\(229\) | −24.3817 | −1.61119 | −0.805595 | − | 0.592466i | \(-0.798154\pi\) | ||||
−0.805595 | + | 0.592466i | \(0.798154\pi\) | |||||||
\(230\) | 5.00194 | + | 1.54703i | 0.329818 | + | 0.102008i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 1.05803i | − | 0.0694631i | ||||||
\(233\) | 4.61992i | 0.302661i | 0.988483 | + | 0.151331i | \(0.0483558\pi\) | ||||
−0.988483 | + | 0.151331i | \(0.951644\pi\) | |||||||
\(234\) | 4.12768 | 0.269835 | ||||||||
\(235\) | −7.59302 | + | 24.5502i | −0.495314 | + | 1.60148i | ||||
\(236\) | 4.10247 | 0.267048 | ||||||||
\(237\) | − | 16.1403i | − | 1.04843i | ||||||
\(238\) | − | 1.36665i | − | 0.0885870i | ||||||
\(239\) | −4.81862 | −0.311691 | −0.155845 | − | 0.987781i | \(-0.549810\pi\) | ||||
−0.155845 | + | 0.987781i | \(0.549810\pi\) | |||||||
\(240\) | 0.359528 | − | 1.16245i | 0.0232074 | − | 0.0750356i | ||||
\(241\) | 0.424606 | 0.0273513 | 0.0136757 | − | 0.999906i | \(-0.495647\pi\) | ||||
0.0136757 | + | 0.999906i | \(0.495647\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 1.42927 | 0.0914998 | ||||||||
\(245\) | 14.4012 | + | 4.45409i | 0.920060 | + | 0.284561i | ||||
\(246\) | 2.24836 | 0.143350 | ||||||||
\(247\) | − | 6.02703i | − | 0.383490i | ||||||
\(248\) | 17.1273i | 1.08759i | ||||||||
\(249\) | 15.3587 | 0.973320 | ||||||||
\(250\) | 7.03499 | − | 5.58421i | 0.444932 | − | 0.353176i | ||||
\(251\) | 15.3627 | 0.969688 | 0.484844 | − | 0.874601i | \(-0.338876\pi\) | ||||
0.484844 | + | 0.874601i | \(0.338876\pi\) | |||||||
\(252\) | − | 0.688823i | − | 0.0433918i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −8.59165 | −0.539088 | ||||||||
\(255\) | −7.14657 | − | 2.21033i | −0.447536 | − | 0.138416i | ||||
\(256\) | −14.2297 | −0.889353 | ||||||||
\(257\) | 7.41474i | 0.462519i | 0.972892 | + | 0.231259i | \(0.0742846\pi\) | ||||
−0.972892 | + | 0.231259i | \(0.925715\pi\) | |||||||
\(258\) | 2.45308i | 0.152722i | ||||||||
\(259\) | 2.26396 | 0.140676 | ||||||||
\(260\) | 4.59846 | − | 14.8680i | 0.285184 | − | 0.922073i | ||||
\(261\) | −0.392594 | −0.0243009 | ||||||||
\(262\) | 5.62803i | 0.347701i | ||||||||
\(263\) | 30.6870i | 1.89224i | 0.323815 | + | 0.946120i | \(0.395034\pi\) | ||||
−0.323815 | + | 0.946120i | \(0.604966\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.47985 | − | 20.9510i | 0.398054 | − | 1.28701i | ||||
\(266\) | 0.479203 | 0.0293818 | ||||||||
\(267\) | − | 9.84603i | − | 0.602567i | ||||||
\(268\) | − | 7.19738i | − | 0.439650i | ||||||
\(269\) | −18.2413 | −1.11219 | −0.556095 | − | 0.831119i | \(-0.687701\pi\) | ||||
−0.556095 | + | 0.831119i | \(0.687701\pi\) | |||||||
\(270\) | 1.71617 | + | 0.530788i | 0.104443 | + | 0.0323027i | ||||
\(271\) | 13.7411 | 0.834714 | 0.417357 | − | 0.908743i | \(-0.362956\pi\) | ||||
0.417357 | + | 0.908743i | \(0.362956\pi\) | |||||||
\(272\) | − | 1.82044i | − | 0.110380i | ||||||
\(273\) | − | 2.61269i | − | 0.158127i | ||||||
\(274\) | 8.84334 | 0.534246 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.94812 | 0.237649 | ||||||||
\(277\) | − | 1.37752i | − | 0.0827674i | −0.999143 | − | 0.0413837i | \(-0.986823\pi\) | ||
0.999143 | − | 0.0413837i | \(-0.0131766\pi\) | |||||||
\(278\) | − | 11.4101i | − | 0.684330i | ||||||
\(279\) | 6.35529 | 0.380481 | ||||||||
\(280\) | 2.92750 | + | 0.905435i | 0.174952 | + | 0.0541101i | ||||
\(281\) | −19.3025 | −1.15149 | −0.575746 | − | 0.817629i | \(-0.695288\pi\) | ||||
−0.575746 | + | 0.817629i | \(0.695288\pi\) | |||||||
\(282\) | − | 9.23252i | − | 0.549789i | ||||||
\(283\) | 2.19620i | 0.130551i | 0.997867 | + | 0.0652754i | \(0.0207926\pi\) | ||||
−0.997867 | + | 0.0652754i | \(0.979207\pi\) | |||||||
\(284\) | 5.55355 | 0.329543 | ||||||||
\(285\) | 0.775030 | − | 2.50587i | 0.0459088 | − | 0.148435i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 1.42314i | − | 0.0840053i | ||||||
\(288\) | 5.82710i | 0.343365i | ||||||||
\(289\) | 5.80819 | 0.341658 | ||||||||
\(290\) | 0.208384 | − | 0.673758i | 0.0122367 | − | 0.0395645i | ||||
\(291\) | −15.1692 | −0.889232 | ||||||||
\(292\) | 17.7566i | 1.03913i | ||||||||
\(293\) | 27.3180i | 1.59594i | 0.602700 | + | 0.797968i | \(0.294091\pi\) | ||||
−0.602700 | + | 0.797968i | \(0.705909\pi\) | |||||||
\(294\) | −5.41583 | −0.315857 | ||||||||
\(295\) | 6.46965 | + | 2.00097i | 0.376678 | + | 0.116501i | ||||
\(296\) | −11.9985 | −0.697400 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.4899i | 0.607664i | ||||||||
\(299\) | 14.9751 | 0.866033 | ||||||||
\(300\) | 3.82382 | − | 5.59037i | 0.220768 | − | 0.322760i | ||||
\(301\) | 1.55272 | 0.0894973 | ||||||||
\(302\) | − | 14.7428i | − | 0.848351i | ||||||
\(303\) | 16.5472i | 0.950609i | ||||||||
\(304\) | 0.638317 | 0.0366100 | ||||||||
\(305\) | 2.25398 | + | 0.697124i | 0.129063 | + | 0.0399172i | ||||
\(306\) | 2.68759 | 0.153639 | ||||||||
\(307\) | 26.9287i | 1.53690i | 0.639908 | + | 0.768451i | \(0.278972\pi\) | ||||
−0.639908 | + | 0.768451i | \(0.721028\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.3340 | −0.815434 | ||||||||
\(310\) | −3.37331 | + | 10.9068i | −0.191591 | + | 0.619463i | ||||
\(311\) | 11.9344 | 0.676740 | 0.338370 | − | 0.941013i | \(-0.390124\pi\) | ||||
0.338370 | + | 0.941013i | \(0.390124\pi\) | |||||||
\(312\) | 13.8467i | 0.783916i | ||||||||
\(313\) | − | 14.9612i | − | 0.845658i | −0.906209 | − | 0.422829i | \(-0.861037\pi\) | ||
0.906209 | − | 0.422829i | \(-0.138963\pi\) | |||||||
\(314\) | 8.78902 | 0.495993 | ||||||||
\(315\) | 0.335972 | − | 1.08628i | 0.0189299 | − | 0.0612051i | ||||
\(316\) | 21.8637 | 1.22993 | ||||||||
\(317\) | 9.78534i | 0.549600i | 0.961501 | + | 0.274800i | \(0.0886116\pi\) | ||||
−0.961501 | + | 0.274800i | \(0.911388\pi\) | |||||||
\(318\) | 7.87899i | 0.441832i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −7.67542 | − | 2.37390i | −0.429069 | − | 0.132705i | ||||
\(321\) | 6.87095 | 0.383499 | ||||||||
\(322\) | 1.19066i | 0.0663527i | ||||||||
\(323\) | − | 3.92429i | − | 0.218353i | ||||||
\(324\) | 1.35460 | 0.0752558 | ||||||||
\(325\) | 14.5037 | − | 21.2041i | 0.804518 | − | 1.17619i | ||||
\(326\) | 18.5435 | 1.02703 | ||||||||
\(327\) | 16.9516i | 0.937424i | ||||||||
\(328\) | 7.54235i | 0.416456i | ||||||||
\(329\) | −5.84390 | −0.322184 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.14693 | 0.282901 | 0.141450 | − | 0.989945i | \(-0.454823\pi\) | ||||
0.141450 | + | 0.989945i | \(0.454823\pi\) | |||||||
\(332\) | 20.8050i | 1.14182i | ||||||||
\(333\) | 4.45218i | 0.243978i | ||||||||
\(334\) | −3.35345 | −0.183492 | ||||||||
\(335\) | 3.51051 | − | 11.3504i | 0.191799 | − | 0.620136i | ||||
\(336\) | 0.276707 | 0.0150956 | ||||||||
\(337\) | − | 29.3514i | − | 1.59887i | −0.600750 | − | 0.799437i | \(-0.705131\pi\) | ||
0.600750 | − | 0.799437i | \(-0.294869\pi\) | |||||||
\(338\) | 10.7642i | 0.585493i | ||||||||
\(339\) | 4.50913 | 0.244902 | ||||||||
\(340\) | 2.99413 | − | 9.68077i | 0.162379 | − | 0.525014i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0.942375i | 0.0509578i | ||||||||
\(343\) | 6.98758i | 0.377294i | ||||||||
\(344\) | −8.22910 | −0.443683 | ||||||||
\(345\) | 6.22623 | + | 1.92569i | 0.335209 | + | 0.103675i | ||||
\(346\) | 2.98606 | 0.160531 | ||||||||
\(347\) | − | 7.33591i | − | 0.393812i | −0.980422 | − | 0.196906i | \(-0.936911\pi\) | ||
0.980422 | − | 0.196906i | \(-0.0630894\pi\) | |||||||
\(348\) | − | 0.531809i | − | 0.0285080i | ||||||
\(349\) | 28.5268 | 1.52701 | 0.763503 | − | 0.645804i | \(-0.223478\pi\) | ||||
0.763503 | + | 0.645804i | \(0.223478\pi\) | |||||||
\(350\) | 1.68592 | + | 1.15317i | 0.0901161 | + | 0.0616396i | ||||
\(351\) | 5.13798 | 0.274245 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 16.1818i | 0.861271i | 0.902526 | + | 0.430636i | \(0.141711\pi\) | ||||
−0.902526 | + | 0.430636i | \(0.858289\pi\) | |||||||
\(354\) | −2.43303 | −0.129314 | ||||||||
\(355\) | 8.75802 | + | 2.70873i | 0.464828 | + | 0.143765i | ||||
\(356\) | 13.3375 | 0.706884 | ||||||||
\(357\) | − | 1.70116i | − | 0.0900350i | ||||||
\(358\) | 14.3739i | 0.759686i | ||||||||
\(359\) | −16.9324 | −0.893659 | −0.446829 | − | 0.894619i | \(-0.647447\pi\) | ||||
−0.446829 | + | 0.894619i | \(0.647447\pi\) | |||||||
\(360\) | −1.78058 | + | 5.75708i | −0.0938449 | + | 0.303425i | ||||
\(361\) | −17.6240 | −0.927578 | ||||||||
\(362\) | − | 12.1453i | − | 0.638345i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.53916 | 0.185502 | ||||||||
\(365\) | −8.66075 | + | 28.0024i | −0.453324 | + | 1.46571i | ||||
\(366\) | −0.847649 | −0.0443073 | ||||||||
\(367\) | − | 4.02281i | − | 0.209989i | −0.994473 | − | 0.104994i | \(-0.966518\pi\) | ||
0.994473 | − | 0.104994i | \(-0.0334825\pi\) | |||||||
\(368\) | 1.58600i | 0.0826759i | ||||||||
\(369\) | 2.79867 | 0.145693 | ||||||||
\(370\) | −7.64071 | − | 2.36316i | −0.397222 | − | 0.122855i | ||||
\(371\) | 4.98715 | 0.258920 | ||||||||
\(372\) | 8.60890i | 0.446351i | ||||||||
\(373\) | 36.2624i | 1.87760i | 0.344469 | + | 0.938798i | \(0.388059\pi\) | ||||
−0.344469 | + | 0.938798i | \(0.611941\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 8.75690 | − | 6.95102i | 0.452204 | − | 0.358949i | ||||
\(376\) | 30.9715 | 1.59723 | ||||||||
\(377\) | − | 2.01714i | − | 0.103888i | ||||||
\(378\) | 0.408516i | 0.0210118i | ||||||||
\(379\) | 19.8668 | 1.02049 | 0.510243 | − | 0.860030i | \(-0.329555\pi\) | ||||
0.510243 | + | 0.860030i | \(0.329555\pi\) | |||||||
\(380\) | 3.39446 | + | 1.04986i | 0.174132 | + | 0.0538566i | ||||
\(381\) | −10.6946 | −0.547899 | ||||||||
\(382\) | − | 0.598968i | − | 0.0306459i | ||||||
\(383\) | 24.4491i | 1.24929i | 0.780908 | + | 0.624646i | \(0.214757\pi\) | ||||
−0.780908 | + | 0.624646i | \(0.785243\pi\) | |||||||
\(384\) | −8.76773 | −0.447427 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 7.13305 | 0.363063 | ||||||||
\(387\) | 3.05350i | 0.155218i | ||||||||
\(388\) | − | 20.5482i | − | 1.04318i | ||||||
\(389\) | 12.0876 | 0.612866 | 0.306433 | − | 0.951892i | \(-0.400865\pi\) | ||||
0.306433 | + | 0.951892i | \(0.400865\pi\) | |||||||
\(390\) | −2.72718 | + | 8.81766i | −0.138096 | + | 0.446499i | ||||
\(391\) | 9.75052 | 0.493105 | ||||||||
\(392\) | − | 18.1680i | − | 0.917620i | ||||||
\(393\) | 7.00557i | 0.353384i | ||||||||
\(394\) | −0.845783 | −0.0426099 | ||||||||
\(395\) | 34.4794 | + | 10.6640i | 1.73484 | + | 0.536563i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 22.7158i | − | 1.14007i | −0.821619 | − | 0.570037i | \(-0.806929\pi\) | ||
0.821619 | − | 0.570037i | \(-0.193071\pi\) | |||||||
\(398\) | − | 1.83305i | − | 0.0918823i | ||||||
\(399\) | 0.596494 | 0.0298620 | ||||||||
\(400\) | 2.24571 | + | 1.53607i | 0.112285 | + | 0.0768034i | ||||
\(401\) | −2.35795 | −0.117750 | −0.0588751 | − | 0.998265i | \(-0.518751\pi\) | ||||
−0.0588751 | + | 0.998265i | \(0.518751\pi\) | |||||||
\(402\) | 4.26850i | 0.212893i | ||||||||
\(403\) | 32.6533i | 1.62658i | ||||||||
\(404\) | −22.4148 | −1.11518 | ||||||||
\(405\) | 2.13623 | + | 0.660705i | 0.106150 | + | 0.0328307i | ||||
\(406\) | 0.160381 | 0.00795956 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 9.01581i | 0.446349i | ||||||||
\(409\) | 2.74377 | 0.135671 | 0.0678353 | − | 0.997697i | \(-0.478391\pi\) | ||||
0.0678353 | + | 0.997697i | \(0.478391\pi\) | |||||||
\(410\) | −1.48550 | + | 4.80300i | −0.0733637 | + | 0.237203i | ||||
\(411\) | 11.0079 | 0.542978 | ||||||||
\(412\) | − | 19.4169i | − | 0.956603i | ||||||
\(413\) | 1.54003i | 0.0757799i | ||||||||
\(414\) | −2.34148 | −0.115078 | ||||||||
\(415\) | −10.1476 | + | 32.8097i | −0.498126 | + | 1.61057i | ||||
\(416\) | −29.9395 | −1.46791 | ||||||||
\(417\) | − | 14.2028i | − | 0.695516i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 13.9861 | 0.683266 | 0.341633 | − | 0.939833i | \(-0.389020\pi\) | ||||
0.341633 | + | 0.939833i | \(0.389020\pi\) | |||||||
\(420\) | 1.47148 | + | 0.455109i | 0.0718010 | + | 0.0222070i | ||||
\(421\) | −17.7744 | −0.866273 | −0.433137 | − | 0.901328i | \(-0.642593\pi\) | ||||
−0.433137 | + | 0.901328i | \(0.642593\pi\) | |||||||
\(422\) | 7.68756i | 0.374225i | ||||||||
\(423\) | − | 11.4923i | − | 0.558775i | ||||||
\(424\) | −26.4309 | −1.28360 | ||||||||
\(425\) | 9.44355 | − | 13.8063i | 0.458079 | − | 0.669705i | ||||
\(426\) | −3.29361 | −0.159576 | ||||||||
\(427\) | 0.536535i | 0.0259647i | ||||||||
\(428\) | 9.30741i | 0.449891i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −5.24033 | − | 1.62076i | −0.252711 | − | 0.0781600i | ||||
\(431\) | 7.11619 | 0.342775 | 0.171387 | − | 0.985204i | \(-0.445175\pi\) | ||||
0.171387 | + | 0.985204i | \(0.445175\pi\) | |||||||
\(432\) | 0.544158i | 0.0261808i | ||||||||
\(433\) | 11.3817i | 0.546970i | 0.961876 | + | 0.273485i | \(0.0881764\pi\) | ||||
−0.961876 | + | 0.273485i | \(0.911824\pi\) | |||||||
\(434\) | −2.59623 | −0.124623 | ||||||||
\(435\) | 0.259389 | − | 0.838670i | 0.0124367 | − | 0.0402111i | ||||
\(436\) | −22.9626 | −1.09971 | ||||||||
\(437\) | 3.41892i | 0.163549i | ||||||||
\(438\) | − | 10.5308i | − | 0.503181i | ||||||
\(439\) | 16.1917 | 0.772788 | 0.386394 | − | 0.922334i | \(-0.373721\pi\) | ||||
0.386394 | + | 0.922334i | \(0.373721\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.74142 | −0.321020 | ||||||||
\(442\) | 13.8088i | 0.656817i | ||||||||
\(443\) | − | 23.7522i | − | 1.12850i | −0.825604 | − | 0.564250i | \(-0.809166\pi\) | ||
0.825604 | − | 0.564250i | \(-0.190834\pi\) | |||||||
\(444\) | −6.03094 | −0.286216 | ||||||||
\(445\) | 21.0334 | + | 6.50532i | 0.997077 | + | 0.308382i | ||||
\(446\) | −7.08508 | −0.335488 | ||||||||
\(447\) | 13.0575i | 0.617596i | ||||||||
\(448\) | − | 1.82705i | − | 0.0863199i | ||||||
\(449\) | 20.6589 | 0.974954 | 0.487477 | − | 0.873136i | \(-0.337917\pi\) | ||||
0.487477 | + | 0.873136i | \(0.337917\pi\) | |||||||
\(450\) | −2.26777 | + | 3.31544i | −0.106904 | + | 0.156291i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 6.10809i | 0.287300i | ||||||||
\(453\) | − | 18.3513i | − | 0.862218i | ||||||
\(454\) | 4.32824 | 0.203135 | ||||||||
\(455\) | 5.58130 | + | 1.72622i | 0.261655 | + | 0.0809263i | ||||
\(456\) | −3.16130 | −0.148041 | ||||||||
\(457\) | − | 7.72035i | − | 0.361143i | −0.983562 | − | 0.180571i | \(-0.942205\pi\) | ||
0.983562 | − | 0.180571i | \(-0.0577947\pi\) | |||||||
\(458\) | 19.5874i | 0.915261i | ||||||||
\(459\) | 3.34542 | 0.156151 | ||||||||
\(460\) | −2.60854 | + | 8.43408i | −0.121624 | + | 0.393241i | ||||
\(461\) | 41.3034 | 1.92369 | 0.961845 | − | 0.273595i | \(-0.0882128\pi\) | ||||
0.961845 | + | 0.273595i | \(0.0882128\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.5424i | 0.908214i | 0.890947 | + | 0.454107i | \(0.150042\pi\) | ||||
−0.890947 | + | 0.454107i | \(0.849958\pi\) | |||||||
\(464\) | 0.213633 | 0.00991767 | ||||||||
\(465\) | −4.19897 | + | 13.5763i | −0.194723 | + | 0.629588i | ||||
\(466\) | 3.71149 | 0.171931 | ||||||||
\(467\) | 21.3613i | 0.988483i | 0.869325 | + | 0.494242i | \(0.164554\pi\) | ||||
−0.869325 | + | 0.494242i | \(0.835446\pi\) | |||||||
\(468\) | 6.95993i | 0.321723i | ||||||||
\(469\) | 2.70183 | 0.124759 | ||||||||
\(470\) | 19.7228 | + | 6.09997i | 0.909744 | + | 0.281371i | ||||
\(471\) | 10.9402 | 0.504100 | ||||||||
\(472\) | − | 8.16184i | − | 0.375679i | ||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −12.9666 | −0.595574 | ||||||||
\(475\) | 4.84104 | + | 3.31128i | 0.222122 | + | 0.151932i | ||||
\(476\) | 2.30440 | 0.105622 | ||||||||
\(477\) | 9.80747i | 0.449053i | ||||||||
\(478\) | 3.87111i | 0.177061i | ||||||||
\(479\) | 15.4162 | 0.704383 | 0.352191 | − | 0.935928i | \(-0.385437\pi\) | ||||
0.352191 | + | 0.935928i | \(0.385437\pi\) | |||||||
\(480\) | −12.4480 | − | 3.85000i | −0.568172 | − | 0.175728i | ||||
\(481\) | −22.8752 | −1.04302 | ||||||||
\(482\) | − | 0.341114i | − | 0.0155373i | ||||||
\(483\) | 1.48208i | 0.0674372i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 10.0223 | − | 32.4048i | 0.455091 | − | 1.47143i | ||||
\(486\) | −0.803366 | −0.0364414 | ||||||||
\(487\) | − | 25.1124i | − | 1.13795i | −0.822354 | − | 0.568976i | \(-0.807340\pi\) | ||
0.822354 | − | 0.568976i | \(-0.192660\pi\) | |||||||
\(488\) | − | 2.84353i | − | 0.128720i | ||||||
\(489\) | 23.0823 | 1.04382 | ||||||||
\(490\) | 3.57826 | − | 11.5694i | 0.161649 | − | 0.522654i | ||||
\(491\) | 1.10386 | 0.0498165 | 0.0249083 | − | 0.999690i | \(-0.492071\pi\) | ||||
0.0249083 | + | 0.999690i | \(0.492071\pi\) | |||||||
\(492\) | 3.79109i | 0.170916i | ||||||||
\(493\) | − | 1.31339i | − | 0.0591521i | ||||||
\(494\) | −4.84190 | −0.217848 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.45829 | −0.155282 | ||||||||
\(497\) | 2.08475i | 0.0935138i | ||||||||
\(498\) | − | 12.3387i | − | 0.552909i | ||||||
\(499\) | −2.29718 | −0.102836 | −0.0514179 | − | 0.998677i | \(-0.516374\pi\) | ||||
−0.0514179 | + | 0.998677i | \(0.516374\pi\) | |||||||
\(500\) | 9.41588 | + | 11.8621i | 0.421091 | + | 0.530491i | ||||
\(501\) | −4.17425 | −0.186492 | ||||||||
\(502\) | − | 12.3419i | − | 0.550846i | ||||||
\(503\) | 6.85667i | 0.305724i | 0.988248 | + | 0.152862i | \(0.0488490\pi\) | ||||
−0.988248 | + | 0.152862i | \(0.951151\pi\) | |||||||
\(504\) | −1.37041 | −0.0610428 | ||||||||
\(505\) | −35.3485 | − | 10.9328i | −1.57299 | − | 0.486503i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 13.3988i | 0.595063i | ||||||||
\(508\) | − | 14.4869i | − | 0.642752i | ||||||
\(509\) | −25.8834 | −1.14726 | −0.573630 | − | 0.819114i | \(-0.694465\pi\) | ||||
−0.573630 | + | 0.819114i | \(0.694465\pi\) | |||||||
\(510\) | −1.77571 | + | 5.74131i | −0.0786296 | + | 0.254229i | ||||
\(511\) | −6.66566 | −0.294871 | ||||||||
\(512\) | − | 6.10385i | − | 0.269755i | ||||||
\(513\) | 1.17303i | 0.0517907i | ||||||||
\(514\) | 5.95675 | 0.262741 | ||||||||
\(515\) | 9.47057 | − | 30.6208i | 0.417323 | − | 1.34931i | ||||
\(516\) | −4.13628 | −0.182090 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 1.81879i | − | 0.0799129i | ||||||
\(519\) | 3.71693 | 0.163155 | ||||||||
\(520\) | −29.5797 | − | 9.14859i | −1.29716 | − | 0.401192i | ||||
\(521\) | −28.7809 | −1.26091 | −0.630456 | − | 0.776225i | \(-0.717132\pi\) | ||||
−0.630456 | + | 0.776225i | \(0.717132\pi\) | |||||||
\(522\) | 0.315396i | 0.0138045i | ||||||||
\(523\) | 29.9930i | 1.31150i | 0.754976 | + | 0.655752i | \(0.227648\pi\) | ||||
−0.754976 | + | 0.655752i | \(0.772352\pi\) | |||||||
\(524\) | −9.48977 | −0.414563 | ||||||||
\(525\) | 2.09857 | + | 1.43542i | 0.0915891 | + | 0.0626471i | ||||
\(526\) | 24.6529 | 1.07492 | ||||||||
\(527\) | 21.2611i | 0.926148i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.5052 | 0.630659 | ||||||||
\(530\) | −16.8313 | − | 5.20569i | −0.731105 | − | 0.226121i | ||||
\(531\) | −3.02854 | −0.131427 | ||||||||
\(532\) | 0.808013i | 0.0350318i | ||||||||
\(533\) | 14.3795i | 0.622846i | ||||||||
\(534\) | −7.90996 | −0.342297 | ||||||||
\(535\) | −4.53967 | + | 14.6779i | −0.196267 | + | 0.634581i | ||||
\(536\) | −14.3191 | −0.618492 | ||||||||
\(537\) | 17.8921i | 0.772103i | ||||||||
\(538\) | 14.6544i | 0.631796i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.894993 | + | 2.89374i | −0.0385144 | + | 0.124527i | ||||
\(541\) | 2.65449 | 0.114126 | 0.0570628 | − | 0.998371i | \(-0.481826\pi\) | ||||
0.0570628 | + | 0.998371i | \(0.481826\pi\) | |||||||
\(542\) | − | 11.0392i | − | 0.474172i | ||||||
\(543\) | − | 15.1181i | − | 0.648779i | ||||||
\(544\) | −19.4941 | −0.835802 | ||||||||
\(545\) | −36.2124 | − | 11.2000i | −1.55117 | − | 0.479755i | ||||
\(546\) | −2.09894 | −0.0898265 | ||||||||
\(547\) | − | 3.36255i | − | 0.143772i | −0.997413 | − | 0.0718861i | \(-0.977098\pi\) | ||
0.997413 | − | 0.0718861i | \(-0.0229018\pi\) | |||||||
\(548\) | 14.9113i | 0.636979i | ||||||||
\(549\) | −1.05512 | −0.0450315 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.460526 | 0.0196191 | ||||||||
\(552\) | − | 7.85475i | − | 0.334320i | ||||||
\(553\) | 8.20743i | 0.349015i | ||||||||
\(554\) | −1.10666 | −0.0470173 | ||||||||
\(555\) | −9.51088 | − | 2.94158i | −0.403714 | − | 0.124863i | ||||
\(556\) | 19.2392 | 0.815924 | ||||||||
\(557\) | − | 24.5074i | − | 1.03841i | −0.854649 | − | 0.519206i | \(-0.826228\pi\) | ||
0.854649 | − | 0.519206i | \(-0.173772\pi\) | |||||||
\(558\) | − | 5.10562i | − | 0.216138i | ||||||
\(559\) | −15.6888 | −0.663566 | ||||||||
\(560\) | −0.182822 | + | 0.591110i | −0.00772564 | + | 0.0249790i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.5070i | 0.654123i | ||||||||
\(563\) | − | 8.01826i | − | 0.337929i | −0.985622 | − | 0.168965i | \(-0.945958\pi\) | ||
0.985622 | − | 0.168965i | \(-0.0540424\pi\) | |||||||
\(564\) | 15.5675 | 0.655511 | ||||||||
\(565\) | −2.97921 | + | 9.63253i | −0.125336 | + | 0.405244i | ||||
\(566\) | 1.76435 | 0.0741613 | ||||||||
\(567\) | 0.508505i | 0.0213552i | ||||||||
\(568\) | − | 11.0487i | − | 0.463595i | ||||||
\(569\) | −9.51091 | −0.398718 | −0.199359 | − | 0.979927i | \(-0.563886\pi\) | ||||
−0.199359 | + | 0.979927i | \(0.563886\pi\) | |||||||
\(570\) | −2.01313 | − | 0.622632i | −0.0843207 | − | 0.0260792i | ||||
\(571\) | −11.6232 | −0.486415 | −0.243208 | − | 0.969974i | \(-0.578200\pi\) | ||||
−0.243208 | + | 0.969974i | \(0.578200\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 0.745573i | − | 0.0311468i | ||||||
\(574\) | −1.14330 | −0.0477205 | ||||||||
\(575\) | −8.22740 | + | 12.0283i | −0.343106 | + | 0.501616i | ||||
\(576\) | 3.59298 | 0.149707 | ||||||||
\(577\) | − | 9.73590i | − | 0.405311i | −0.979250 | − | 0.202655i | \(-0.935043\pi\) | ||
0.979250 | − | 0.202655i | \(-0.0649571\pi\) | |||||||
\(578\) | − | 4.66610i | − | 0.194084i | ||||||
\(579\) | 8.87896 | 0.368997 | ||||||||
\(580\) | 1.13607 | + | 0.351369i | 0.0471725 | + | 0.0145898i | ||||
\(581\) | −7.80999 | −0.324013 | ||||||||
\(582\) | 12.1864i | 0.505142i | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 35.3266 | 1.46183 | ||||||||
\(585\) | −3.39469 | + | 10.9759i | −0.140353 | + | 0.453797i | ||||
\(586\) | 21.9463 | 0.906595 | ||||||||
\(587\) | − | 6.35480i | − | 0.262291i | −0.991363 | − | 0.131145i | \(-0.958135\pi\) | ||
0.991363 | − | 0.131145i | \(-0.0418655\pi\) | |||||||
\(588\) | − | 9.13196i | − | 0.376596i | ||||||
\(589\) | −7.45497 | −0.307177 | ||||||||
\(590\) | 1.60751 | − | 5.19750i | 0.0661802 | − | 0.213978i | ||||
\(591\) | −1.05280 | −0.0433064 | ||||||||
\(592\) | − | 2.42269i | − | 0.0995721i | ||||||
\(593\) | 4.58134i | 0.188133i | 0.995566 | + | 0.0940666i | \(0.0299867\pi\) | ||||
−0.995566 | + | 0.0940666i | \(0.970013\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.63407 | + | 1.12397i | 0.148982 | + | 0.0460781i | ||||
\(596\) | −17.6877 | −0.724516 | ||||||||
\(597\) | − | 2.28171i | − | 0.0933841i | ||||||
\(598\) | − | 12.0305i | − | 0.491963i | ||||||
\(599\) | 9.26327 | 0.378487 | 0.189244 | − | 0.981930i | \(-0.439396\pi\) | ||||
0.189244 | + | 0.981930i | \(0.439396\pi\) | |||||||
\(600\) | −11.1220 | − | 7.60746i | −0.454053 | − | 0.310573i | ||||
\(601\) | −10.4939 | −0.428054 | −0.214027 | − | 0.976828i | \(-0.568658\pi\) | ||||
−0.214027 | + | 0.976828i | \(0.568658\pi\) | |||||||
\(602\) | − | 1.24740i | − | 0.0508403i | ||||||
\(603\) | 5.31327i | 0.216373i | ||||||||
\(604\) | 24.8587 | 1.01149 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 13.2934 | 0.540008 | ||||||||
\(607\) | − | 20.8000i | − | 0.844244i | −0.906539 | − | 0.422122i | \(-0.861285\pi\) | ||
0.906539 | − | 0.422122i | \(-0.138715\pi\) | |||||||
\(608\) | − | 6.83539i | − | 0.277212i | ||||||
\(609\) | 0.199636 | 0.00808966 | ||||||||
\(610\) | 0.560046 | − | 1.81077i | 0.0226756 | − | 0.0733160i | ||||
\(611\) | 59.0472 | 2.38879 | ||||||||
\(612\) | 4.53171i | 0.183184i | ||||||||
\(613\) | 24.7575i | 0.999945i | 0.866041 | + | 0.499973i | \(0.166657\pi\) | ||||
−0.866041 | + | 0.499973i | \(0.833343\pi\) | |||||||
\(614\) | 21.6336 | 0.873061 | ||||||||
\(615\) | −1.84910 | + | 5.97860i | −0.0745628 | + | 0.241080i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 28.2943i | − | 1.13909i | −0.821962 | − | 0.569543i | \(-0.807120\pi\) | ||
0.821962 | − | 0.569543i | \(-0.192880\pi\) | |||||||
\(618\) | 11.5155i | 0.463220i | ||||||||
\(619\) | 26.6041 | 1.06931 | 0.534654 | − | 0.845071i | \(-0.320442\pi\) | ||||
0.534654 | + | 0.845071i | \(0.320442\pi\) | |||||||
\(620\) | −18.3906 | − | 5.68794i | −0.738583 | − | 0.228433i | ||||
\(621\) | −2.91459 | −0.116959 | ||||||||
\(622\) | − | 9.58772i | − | 0.384432i | ||||||
\(623\) | 5.00675i | 0.200591i | ||||||||
\(624\) | −2.79587 | −0.111925 | ||||||||
\(625\) | 9.06323 | + | 23.2993i | 0.362529 | + | 0.931972i | ||||
\(626\) | −12.0193 | −0.480389 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 14.8197i | 0.591370i | ||||||||
\(629\) | −14.8944 | −0.593879 | ||||||||
\(630\) | −0.872682 | − | 0.269908i | −0.0347685 | − | 0.0107534i | ||||
\(631\) | 16.4724 | 0.655757 | 0.327879 | − | 0.944720i | \(-0.393666\pi\) | ||||
0.327879 | + | 0.944720i | \(0.393666\pi\) | |||||||
\(632\) | − | 43.4977i | − | 1.73024i | ||||||
\(633\) | 9.56919i | 0.380341i | ||||||||
\(634\) | 7.86121 | 0.312208 | ||||||||
\(635\) | 7.06596 | − | 22.8460i | 0.280404 | − | 0.906617i | ||||
\(636\) | −13.2852 | −0.526794 | ||||||||
\(637\) | − | 34.6373i | − | 1.37238i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.09976 | −0.162184 | ||||||||
\(640\) | 5.79289 | − | 18.7299i | 0.228984 | − | 0.740363i | ||||
\(641\) | 7.15197 | 0.282486 | 0.141243 | − | 0.989975i | \(-0.454890\pi\) | ||||
0.141243 | + | 0.989975i | \(0.454890\pi\) | |||||||
\(642\) | − | 5.51988i | − | 0.217852i | ||||||
\(643\) | 17.7623i | 0.700477i | 0.936661 | + | 0.350238i | \(0.113899\pi\) | ||||
−0.936661 | + | 0.350238i | \(0.886101\pi\) | |||||||
\(644\) | −2.00764 | −0.0791120 | ||||||||
\(645\) | −6.52297 | − | 2.01746i | −0.256842 | − | 0.0794375i | ||||
\(646\) | −3.15264 | −0.124039 | ||||||||
\(647\) | − | 1.43164i | − | 0.0562836i | −0.999604 | − | 0.0281418i | \(-0.991041\pi\) | ||
0.999604 | − | 0.0281418i | \(-0.00895899\pi\) | |||||||
\(648\) | − | 2.69497i | − | 0.105869i | ||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −17.0347 | − | 11.6517i | −0.668154 | − | 0.457019i | ||||
\(651\) | −3.23170 | −0.126660 | ||||||||
\(652\) | 31.2674i | 1.22453i | ||||||||
\(653\) | − | 29.2874i | − | 1.14611i | −0.819518 | − | 0.573053i | \(-0.805759\pi\) | ||
0.819518 | − | 0.573053i | \(-0.194241\pi\) | |||||||
\(654\) | 13.6183 | 0.532518 | ||||||||
\(655\) | −14.9655 | − | 4.62861i | −0.584750 | − | 0.180855i | ||||
\(656\) | −1.52292 | −0.0594601 | ||||||||
\(657\) | − | 13.1083i | − | 0.511405i | ||||||
\(658\) | 4.69479i | 0.183022i | ||||||||
\(659\) | −21.2056 | −0.826054 | −0.413027 | − | 0.910719i | \(-0.635529\pi\) | ||||
−0.413027 | + | 0.910719i | \(0.635529\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.5453 | −0.643537 | −0.321768 | − | 0.946818i | \(-0.604277\pi\) | ||||
−0.321768 | + | 0.946818i | \(0.604277\pi\) | |||||||
\(662\) | − | 4.13486i | − | 0.160706i | ||||||
\(663\) | 17.1887i | 0.667553i | ||||||||
\(664\) | 41.3914 | 1.60630 | ||||||||
\(665\) | −0.394107 | + | 1.27425i | −0.0152828 | + | 0.0494132i | ||||
\(666\) | 3.57673 | 0.138596 | ||||||||
\(667\) | 1.14425i | 0.0443056i | ||||||||
\(668\) | − | 5.65445i | − | 0.218777i | ||||||
\(669\) | −8.81925 | −0.340972 | ||||||||
\(670\) | −9.11849 | − | 2.82022i | −0.352278 | − | 0.108955i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | − | 2.96311i | − | 0.114305i | ||||||
\(673\) | 18.9533i | 0.730597i | 0.930890 | + | 0.365299i | \(0.119033\pi\) | ||||
−0.930890 | + | 0.365299i | \(0.880967\pi\) | |||||||
\(674\) | −23.5799 | −0.908265 | ||||||||
\(675\) | −2.82283 | + | 4.12694i | −0.108651 | + | 0.158846i | ||||
\(676\) | −18.1501 | −0.698081 | ||||||||
\(677\) | − | 33.0448i | − | 1.27002i | −0.772506 | − | 0.635008i | \(-0.780997\pi\) | ||
0.772506 | − | 0.635008i | \(-0.219003\pi\) | |||||||
\(678\) | − | 3.62248i | − | 0.139121i | ||||||
\(679\) | 7.71360 | 0.296021 | ||||||||
\(680\) | −19.2598 | − | 5.95679i | −0.738580 | − | 0.228432i | ||||
\(681\) | 5.38764 | 0.206455 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 26.1102i | − | 0.999079i | −0.866291 | − | 0.499540i | \(-0.833503\pi\) | ||
0.866291 | − | 0.499540i | \(-0.166497\pi\) | |||||||
\(684\) | −1.58900 | −0.0607568 | ||||||||
\(685\) | −7.27295 | + | 23.5153i | −0.277885 | + | 0.898474i | ||||
\(686\) | 5.61358 | 0.214328 | ||||||||
\(687\) | 24.3817i | 0.930221i | ||||||||
\(688\) | − | 1.66159i | − | 0.0633474i | ||||||
\(689\) | −50.3906 | −1.91973 | ||||||||
\(690\) | 1.54703 | − | 5.00194i | 0.0588944 | − | 0.190421i | ||||
\(691\) | −23.8340 | −0.906690 | −0.453345 | − | 0.891335i | \(-0.649769\pi\) | ||||
−0.453345 | + | 0.891335i | \(0.649769\pi\) | |||||||
\(692\) | 5.03497i | 0.191401i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.89342 | −0.223711 | ||||||||
\(695\) | 30.3405 | + | 9.38388i | 1.15088 | + | 0.355951i | ||||
\(696\) | −1.05803 | −0.0401045 | ||||||||
\(697\) | 9.36272i | 0.354638i | ||||||||
\(698\) | − | 22.9175i | − | 0.867439i | ||||||
\(699\) | 4.61992 | 0.174741 | ||||||||
\(700\) | −1.94443 | + | 2.84273i | −0.0734926 | + | 0.107445i | ||||
\(701\) | 16.3561 | 0.617761 | 0.308880 | − | 0.951101i | \(-0.400046\pi\) | ||||
0.308880 | + | 0.951101i | \(0.400046\pi\) | |||||||
\(702\) | − | 4.12768i | − | 0.155789i | ||||||
\(703\) | − | 5.22256i | − | 0.196973i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 24.5502 | + | 7.59302i | 0.924613 | + | 0.285970i | ||||
\(706\) | 12.9999 | 0.489258 | ||||||||
\(707\) | − | 8.41431i | − | 0.316453i | ||||||
\(708\) | − | 4.10247i | − | 0.154180i | ||||||
\(709\) | −15.0833 | −0.566464 | −0.283232 | − | 0.959051i | \(-0.591407\pi\) | ||||
−0.283232 | + | 0.959051i | \(0.591407\pi\) | |||||||
\(710\) | 2.17610 | − | 7.03590i | 0.0816677 | − | 0.264052i | ||||
\(711\) | −16.1403 | −0.605309 | ||||||||
\(712\) | − | 26.5348i | − | 0.994433i | ||||||
\(713\) | − | 18.5231i | − | 0.693695i | ||||||
\(714\) | −1.36665 | −0.0511458 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −24.2368 | −0.905770 | ||||||||
\(717\) | 4.81862i | 0.179955i | ||||||||
\(718\) | 13.6029i | 0.507657i | ||||||||
\(719\) | −22.6232 | −0.843702 | −0.421851 | − | 0.906665i | \(-0.638619\pi\) | ||||
−0.421851 | + | 0.906665i | \(0.638619\pi\) | |||||||
\(720\) | −1.16245 | − | 0.359528i | −0.0433218 | − | 0.0133988i | ||||
\(721\) | 7.28893 | 0.271454 | ||||||||
\(722\) | 14.1585i | 0.526925i | ||||||||
\(723\) | − | 0.424606i | − | 0.0157913i | ||||||
\(724\) | 20.4790 | 0.761096 | ||||||||
\(725\) | 1.62021 | + | 1.10823i | 0.0601731 | + | 0.0411585i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.2062i | 0.749408i | 0.927144 | + | 0.374704i | \(0.122256\pi\) | ||||
−0.927144 | + | 0.374704i | \(0.877744\pi\) | |||||||
\(728\) | − | 7.04113i | − | 0.260961i | ||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 22.4962 | + | 6.95775i | 0.832621 | + | 0.257518i | ||||
\(731\) | −10.2152 | −0.377824 | ||||||||
\(732\) | − | 1.42927i | − | 0.0528274i | ||||||
\(733\) | − | 1.50517i | − | 0.0555947i | −0.999614 | − | 0.0277974i | \(-0.991151\pi\) | ||
0.999614 | − | 0.0277974i | \(-0.00884932\pi\) | |||||||
\(734\) | −3.23178 | −0.119287 | ||||||||
\(735\) | 4.45409 | − | 14.4012i | 0.164292 | − | 0.531197i | ||||
\(736\) | 16.9836 | 0.626025 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | − | 2.24836i | − | 0.0827632i | ||||||
\(739\) | −38.7837 | −1.42668 | −0.713340 | − | 0.700818i | \(-0.752818\pi\) | ||||
−0.713340 | + | 0.700818i | \(0.752818\pi\) | |||||||
\(740\) | 3.98468 | − | 12.8835i | 0.146480 | − | 0.473606i | ||||
\(741\) | −6.02703 | −0.221408 | ||||||||
\(742\) | − | 4.00651i | − | 0.147083i | ||||||
\(743\) | 26.8606i | 0.985419i | 0.870194 | + | 0.492710i | \(0.163993\pi\) | ||||
−0.870194 | + | 0.492710i | \(0.836007\pi\) | |||||||
\(744\) | 17.1273 | 0.627919 | ||||||||
\(745\) | −27.8937 | − | 8.62713i | −1.02195 | − | 0.316073i | ||||
\(746\) | 29.1320 | 1.06660 | ||||||||
\(747\) | − | 15.3587i | − | 0.561947i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.49391 | −0.127665 | ||||||||
\(750\) | −5.58421 | − | 7.03499i | −0.203907 | − | 0.256882i | ||||
\(751\) | 26.0025 | 0.948845 | 0.474423 | − | 0.880297i | \(-0.342657\pi\) | ||||
0.474423 | + | 0.880297i | \(0.342657\pi\) | |||||||
\(752\) | 6.25364i | 0.228047i | ||||||||
\(753\) | − | 15.3627i | − | 0.559850i | ||||||
\(754\) | −1.62050 | −0.0590151 | ||||||||
\(755\) | 39.2025 | + | 12.1248i | 1.42672 | + | 0.441266i | ||||
\(756\) | −0.688823 | −0.0250522 | ||||||||
\(757\) | − | 29.5909i | − | 1.07550i | −0.843105 | − | 0.537749i | \(-0.819275\pi\) | ||
0.843105 | − | 0.537749i | \(-0.180725\pi\) | |||||||
\(758\) | − | 15.9603i | − | 0.579703i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.08868 | − | 6.75325i | 0.0757645 | − | 0.244966i | ||||
\(761\) | 33.0705 | 1.19880 | 0.599401 | − | 0.800449i | \(-0.295405\pi\) | ||||
0.599401 | + | 0.800449i | \(0.295405\pi\) | |||||||
\(762\) | 8.59165i | 0.311243i | ||||||||
\(763\) | − | 8.61996i | − | 0.312063i | ||||||
\(764\) | 1.00996 | 0.0365389 | ||||||||
\(765\) | −2.21033 | + | 7.14657i | −0.0799148 | + | 0.258385i | ||||
\(766\) | 19.6416 | 0.709679 | ||||||||
\(767\) | − | 15.5606i | − | 0.561860i | ||||||
\(768\) | 14.2297i | 0.513468i | ||||||||
\(769\) | −3.37489 | −0.121702 | −0.0608508 | − | 0.998147i | \(-0.519381\pi\) | ||||
−0.0608508 | + | 0.998147i | \(0.519381\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 7.41474 | 0.267035 | ||||||||
\(772\) | 12.0275i | 0.432878i | ||||||||
\(773\) | 23.1887i | 0.834041i | 0.908897 | + | 0.417020i | \(0.136926\pi\) | ||||
−0.908897 | + | 0.417020i | \(0.863074\pi\) | |||||||
\(774\) | 2.45308 | 0.0881740 | ||||||||
\(775\) | −26.2279 | − | 17.9399i | −0.942134 | − | 0.644421i | ||||
\(776\) | −40.8805 | −1.46752 | ||||||||
\(777\) | − | 2.26396i | − | 0.0812190i | ||||||
\(778\) | − | 9.71076i | − | 0.348148i | ||||||
\(779\) | −3.28294 | −0.117623 | ||||||||
\(780\) | −14.8680 | − | 4.59846i | −0.532359 | − | 0.164651i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 7.83323i | − | 0.280116i | ||||||
\(783\) | 0.392594i | 0.0140302i | ||||||||
\(784\) | 3.66840 | 0.131014 | ||||||||
\(785\) | −7.22828 | + | 23.3709i | −0.257988 | + | 0.834142i | ||||
\(786\) | 5.62803 | 0.200745 | ||||||||
\(787\) | 41.0681i | 1.46392i | 0.681348 | + | 0.731959i | \(0.261394\pi\) | ||||
−0.681348 | + | 0.731959i | \(0.738606\pi\) | |||||||
\(788\) | − | 1.42613i | − | 0.0508036i | ||||||
\(789\) | 30.6870 | 1.09249 | ||||||||
\(790\) | 8.56707 | − | 27.6995i | 0.304803 | − | 0.985505i | ||||
\(791\) | −2.29292 | −0.0815267 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 5.42119i | − | 0.192512i | ||||||
\(794\) | −18.2491 | −0.647637 | ||||||||
\(795\) | −20.9510 | − | 6.47985i | −0.743055 | − | 0.229816i | ||||
\(796\) | 3.09081 | 0.109551 | ||||||||
\(797\) | 48.2620i | 1.70953i | 0.519016 | + | 0.854765i | \(0.326299\pi\) | ||||
−0.519016 | + | 0.854765i | \(0.673701\pi\) | |||||||
\(798\) | − | 0.479203i | − | 0.0169636i | ||||||
\(799\) | 38.4465 | 1.36014 | ||||||||
\(800\) | 16.4489 | − | 24.0481i | 0.581558 | − | 0.850229i | ||||
\(801\) | −9.84603 | −0.347892 | ||||||||
\(802\) | 1.89429i | 0.0668898i | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −7.19738 | −0.253832 | ||||||||
\(805\) | −3.16607 | − | 0.979221i | −0.111589 | − | 0.0345130i | ||||
\(806\) | 26.2326 | 0.924003 | ||||||||
\(807\) | 18.2413i | 0.642123i | ||||||||
\(808\) | 44.5941i | 1.56882i | ||||||||
\(809\) | 43.8433 | 1.54145 | 0.770724 | − | 0.637170i | \(-0.219895\pi\) | ||||
0.770724 | + | 0.637170i | \(0.219895\pi\) | |||||||
\(810\) | 0.530788 | − | 1.71617i | 0.0186500 | − | 0.0603001i | ||||
\(811\) | −41.3933 | −1.45351 | −0.726757 | − | 0.686895i | \(-0.758973\pi\) | ||||
−0.726757 | + | 0.686895i | \(0.758973\pi\) | |||||||
\(812\) | 0.270428i | 0.00949015i | ||||||||
\(813\) | − | 13.7411i | − | 0.481922i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −15.2506 | + | 49.3091i | −0.534205 | + | 1.72722i | ||||
\(816\) | −1.82044 | −0.0637280 | ||||||||
\(817\) | − | 3.58186i | − | 0.125313i | ||||||
\(818\) | − | 2.20425i | − | 0.0770698i | ||||||
\(819\) | −2.61269 | −0.0912947 | ||||||||
\(820\) | −8.09864 | − | 2.50479i | −0.282817 | − | 0.0874712i | ||||
\(821\) | 42.9590 | 1.49928 | 0.749639 | − | 0.661847i | \(-0.230227\pi\) | ||||
0.749639 | + | 0.661847i | \(0.230227\pi\) | |||||||
\(822\) | − | 8.84334i | − | 0.308447i | ||||||
\(823\) | 14.0263i | 0.488925i | 0.969659 | + | 0.244462i | \(0.0786115\pi\) | ||||
−0.969659 | + | 0.244462i | \(0.921389\pi\) | |||||||
\(824\) | −38.6298 | −1.34573 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.23721 | 0.0430479 | ||||||||
\(827\) | − | 30.9045i | − | 1.07465i | −0.843374 | − | 0.537327i | \(-0.819434\pi\) | ||
0.843374 | − | 0.537327i | \(-0.180566\pi\) | |||||||
\(828\) | − | 3.94812i | − | 0.137207i | ||||||
\(829\) | −36.9798 | −1.28436 | −0.642181 | − | 0.766553i | \(-0.721970\pi\) | ||||
−0.642181 | + | 0.766553i | \(0.721970\pi\) | |||||||
\(830\) | 26.3582 | + | 8.15223i | 0.914907 | + | 0.282968i | ||||
\(831\) | −1.37752 | −0.0477858 | ||||||||
\(832\) | 18.4606i | 0.640008i | ||||||||
\(833\) | − | 22.5529i | − | 0.781410i | ||||||
\(834\) | −11.4101 | −0.395098 | ||||||||
\(835\) | 2.75795 | − | 8.91715i | 0.0954427 | − | 0.308591i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 6.35529i | − | 0.219671i | ||||||
\(838\) | − | 11.2360i | − | 0.388140i | ||||||
\(839\) | −2.20030 | −0.0759626 | −0.0379813 | − | 0.999278i | \(-0.512093\pi\) | ||||
−0.0379813 | + | 0.999278i | \(0.512093\pi\) | |||||||
\(840\) | 0.905435 | − | 2.92750i | 0.0312405 | − | 0.101008i | ||||
\(841\) | −28.8459 | −0.994685 | ||||||||
\(842\) | 14.2794i | 0.492100i | ||||||||
\(843\) | 19.3025i | 0.664814i | ||||||||
\(844\) | −12.9625 | −0.446186 | ||||||||
\(845\) | −28.6229 | − | 8.85267i | −0.984659 | − | 0.304541i | ||||
\(846\) | −9.23252 | −0.317421 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | − | 5.33682i | − | 0.183267i | ||||||
\(849\) | 2.19620 | 0.0753735 | ||||||||
\(850\) | −11.0915 | − | 7.58662i | −0.380436 | − | 0.260219i | ||||
\(851\) | 12.9763 | 0.444822 | ||||||||
\(852\) | − | 5.55355i | − | 0.190262i | ||||||
\(853\) | − | 33.1729i | − | 1.13582i | −0.823092 | − | 0.567909i | \(-0.807753\pi\) | ||
0.823092 | − | 0.567909i | \(-0.192247\pi\) | |||||||
\(854\) | 0.431034 | 0.0147497 | ||||||||
\(855\) | −2.50587 | − | 0.775030i | −0.0856989 | − | 0.0265055i | ||||
\(856\) | 18.5170 | 0.632899 | ||||||||
\(857\) | − | 28.5419i | − | 0.974972i | −0.873131 | − | 0.487486i | \(-0.837914\pi\) | ||
0.873131 | − | 0.487486i | \(-0.162086\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −53.6600 | −1.83085 | −0.915427 | − | 0.402484i | \(-0.868147\pi\) | ||||
−0.915427 | + | 0.402484i | \(0.868147\pi\) | |||||||
\(860\) | 2.73286 | − | 8.83604i | 0.0931898 | − | 0.301306i | ||||
\(861\) | −1.42314 | −0.0485005 | ||||||||
\(862\) | − | 5.71690i | − | 0.194719i | ||||||
\(863\) | − | 19.0942i | − | 0.649974i | −0.945719 | − | 0.324987i | \(-0.894640\pi\) | ||
0.945719 | − | 0.324987i | \(-0.105360\pi\) | |||||||
\(864\) | 5.82710 | 0.198242 | ||||||||
\(865\) | −2.45580 | + | 7.94021i | −0.0834996 | + | 0.269975i | ||||
\(866\) | 9.14368 | 0.310715 | ||||||||
\(867\) | − | 5.80819i | − | 0.197257i | ||||||
\(868\) | − | 4.37767i | − | 0.148588i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −0.673758 | − | 0.208384i | −0.0228425 | − | 0.00706488i | ||||
\(871\) | −27.2995 | −0.925008 | ||||||||
\(872\) | 45.6840i | 1.54706i | ||||||||
\(873\) | 15.1692i | 0.513398i | ||||||||
\(874\) | 2.74664 | 0.0929065 | ||||||||
\(875\) | −4.45293 | + | 3.53463i | −0.150536 | + | 0.119492i | ||||
\(876\) | 17.7566 | 0.599940 | ||||||||
\(877\) | 13.8148i | 0.466494i | 0.972418 | + | 0.233247i | \(0.0749351\pi\) | ||||
−0.972418 | + | 0.233247i | \(0.925065\pi\) | |||||||
\(878\) | − | 13.0079i | − | 0.438994i | ||||||
\(879\) | 27.3180 | 0.921414 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14.7416 | −0.496658 | −0.248329 | − | 0.968676i | \(-0.579881\pi\) | ||||
−0.248329 | + | 0.968676i | \(0.579881\pi\) | |||||||
\(882\) | 5.41583i | 0.182360i | ||||||||
\(883\) | 0.165486i | 0.00556904i | 0.999996 | + | 0.00278452i | \(0.000886342\pi\) | ||||
−0.999996 | + | 0.00278452i | \(0.999114\pi\) | |||||||
\(884\) | −23.2838 | −0.783120 | ||||||||
\(885\) | 2.00097 | − | 6.46965i | 0.0672619 | − | 0.217475i | ||||
\(886\) | −19.0817 | −0.641061 | ||||||||
\(887\) | 13.8749i | 0.465874i | 0.972492 | + | 0.232937i | \(0.0748336\pi\) | ||||
−0.972492 | + | 0.232937i | \(0.925166\pi\) | |||||||
\(888\) | 11.9985i | 0.402644i | ||||||||
\(889\) | 5.43824 | 0.182393 | ||||||||
\(890\) | 5.22615 | − | 16.8975i | 0.175181 | − | 0.566405i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 11.9466i | − | 0.400001i | ||||||
\(893\) | 13.4809i | 0.451120i | ||||||||
\(894\) | 10.4899 | 0.350835 | ||||||||
\(895\) | −38.2217 | − | 11.8214i | −1.27761 | − | 0.395147i | ||||
\(896\) | 4.45844 | 0.148946 | ||||||||
\(897\) | − | 14.9751i | − | 0.500004i | ||||||
\(898\) | − | 16.5967i | − | 0.553838i | ||||||
\(899\) | −2.49505 | −0.0832145 | ||||||||
\(900\) | −5.59037 | − | 3.82382i | −0.186346 | − | 0.127461i | ||||
\(901\) | −32.8101 | −1.09306 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − | 1.55272i | − | 0.0516713i | ||||||
\(904\) | 12.1520 | 0.404169 | ||||||||
\(905\) | 32.2957 | + | 9.98859i | 1.07354 | + | 0.332032i | ||||
\(906\) | −14.7428 | −0.489796 | ||||||||
\(907\) | 9.10404i | 0.302295i | 0.988511 | + | 0.151147i | \(0.0482968\pi\) | ||||
−0.988511 | + | 0.151147i | \(0.951703\pi\) | |||||||
\(908\) | 7.29811i | 0.242196i | ||||||||
\(909\) | 16.5472 | 0.548834 | ||||||||
\(910\) | 1.38678 | − | 4.48382i | 0.0459714 | − | 0.148637i | ||||
\(911\) | −45.2779 | −1.50012 | −0.750062 | − | 0.661367i | \(-0.769977\pi\) | ||||
−0.750062 | + | 0.661367i | \(0.769977\pi\) | |||||||
\(912\) | − | 0.638317i | − | 0.0211368i | ||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −6.20227 | −0.205153 | ||||||||
\(915\) | 0.697124 | − | 2.25398i | 0.0230462 | − | 0.0745143i | ||||
\(916\) | −33.0276 | −1.09126 | ||||||||
\(917\) | − | 3.56237i | − | 0.117640i | ||||||
\(918\) | − | 2.68759i | − | 0.0887038i | ||||||
\(919\) | 14.8633 | 0.490296 | 0.245148 | − | 0.969486i | \(-0.421163\pi\) | ||||
0.245148 | + | 0.969486i | \(0.421163\pi\) | |||||||
\(920\) | 16.7795 | + | 5.18967i | 0.553205 | + | 0.171098i | ||||
\(921\) | 26.9287 | 0.887331 | ||||||||
\(922\) | − | 33.1817i | − | 1.09278i | ||||||
\(923\) | − | 21.0645i | − | 0.693346i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 12.5678 | − | 18.3739i | 0.413226 | − | 0.604130i | ||||
\(926\) | 15.6997 | 0.515925 | ||||||||
\(927\) | 14.3340i | 0.470791i | ||||||||
\(928\) | − | 2.28769i | − | 0.0750969i | ||||||
\(929\) | −3.29372 | −0.108063 | −0.0540317 | − | 0.998539i | \(-0.517207\pi\) | ||||
−0.0540317 | + | 0.998539i | \(0.517207\pi\) | |||||||
\(930\) | 10.9068 | + | 3.37331i | 0.357647 | + | 0.110615i | ||||
\(931\) | 7.90792 | 0.259172 | ||||||||
\(932\) | 6.25816i | 0.204993i | ||||||||
\(933\) | − | 11.9344i | − | 0.390716i | ||||||
\(934\) | 17.1609 | 0.561523 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 13.8467 | 0.452594 | ||||||||
\(937\) | 0.798303i | 0.0260794i | 0.999915 | + | 0.0130397i | \(0.00415079\pi\) | ||||
−0.999915 | + | 0.0130397i | \(0.995849\pi\) | |||||||
\(938\) | − | 2.17055i | − | 0.0708711i | ||||||
\(939\) | −14.9612 | −0.488241 | ||||||||
\(940\) | −10.2855 | + | 33.2558i | −0.335477 | + | 1.08468i | ||||
\(941\) | −25.2852 | −0.824275 | −0.412138 | − | 0.911122i | \(-0.635218\pi\) | ||||
−0.412138 | + | 0.911122i | \(0.635218\pi\) | |||||||
\(942\) | − | 8.78902i | − | 0.286362i | ||||||
\(943\) | − | 8.15699i | − | 0.265628i | ||||||
\(944\) | 1.64801 | 0.0536380 | ||||||||
\(945\) | −1.08628 | − | 0.335972i | −0.0353368 | − | 0.0109292i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 49.6668i | 1.61396i | 0.590582 | + | 0.806978i | \(0.298898\pi\) | ||||
−0.590582 | + | 0.806978i | \(0.701102\pi\) | |||||||
\(948\) | − | 21.8637i | − | 0.710100i | ||||||
\(949\) | 67.3504 | 2.18629 | ||||||||
\(950\) | 2.66017 | − | 3.88912i | 0.0863072 | − | 0.126180i | ||||
\(951\) | 9.78534 | 0.317311 | ||||||||
\(952\) | − | 4.58458i | − | 0.148587i | ||||||
\(953\) | − | 27.7742i | − | 0.899694i | −0.893106 | − | 0.449847i | \(-0.851479\pi\) | ||
0.893106 | − | 0.449847i | \(-0.148521\pi\) | |||||||
\(954\) | 7.87899 | 0.255092 | ||||||||
\(955\) | 1.59271 | + | 0.492604i | 0.0515390 | + | 0.0159403i | ||||
\(956\) | −6.52732 | −0.211109 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 12.3848i | − | 0.400135i | ||||||
\(959\) | −5.59756 | −0.180754 | ||||||||
\(960\) | −2.37390 | + | 7.67542i | −0.0766173 | + | 0.247723i | ||||
\(961\) | 9.38972 | 0.302894 | ||||||||
\(962\) | 18.3772i | 0.592504i | ||||||||
\(963\) | − | 6.87095i | − | 0.221413i | ||||||
\(964\) | 0.575173 | 0.0185251 | ||||||||
\(965\) | −5.86637 | + | 18.9675i | −0.188845 | + | 0.610585i | ||||
\(966\) | 1.19066 | 0.0383087 | ||||||||
\(967\) | − | 11.0951i | − | 0.356793i | −0.983959 | − | 0.178396i | \(-0.942909\pi\) | ||
0.983959 | − | 0.178396i | \(-0.0570909\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.92429 | −0.126066 | ||||||||
\(970\) | −26.0329 | − | 8.05161i | −0.835866 | − | 0.258521i | ||||
\(971\) | −31.9217 | −1.02442 | −0.512208 | − | 0.858861i | \(-0.671172\pi\) | ||||
−0.512208 | + | 0.858861i | \(0.671172\pi\) | |||||||
\(972\) | − | 1.35460i | − | 0.0434489i | ||||||
\(973\) | 7.22221i | 0.231534i | ||||||||
\(974\) | −20.1745 | −0.646431 | ||||||||
\(975\) | −21.2041 | − | 14.5037i | −0.679075 | − | 0.464489i | ||||
\(976\) | 0.574154 | 0.0183782 | ||||||||
\(977\) | − | 10.4056i | − | 0.332904i | −0.986050 | − | 0.166452i | \(-0.946769\pi\) | ||
0.986050 | − | 0.166452i | \(-0.0532311\pi\) | |||||||
\(978\) | − | 18.5435i | − | 0.592957i | ||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 19.5079 | + | 6.03353i | 0.623158 | + | 0.192734i | ||||
\(981\) | 16.9516 | 0.541222 | ||||||||
\(982\) | − | 0.886804i | − | 0.0282991i | ||||||
\(983\) | − | 41.4334i | − | 1.32152i | −0.750597 | − | 0.660760i | \(-0.770234\pi\) | ||
0.750597 | − | 0.660760i | \(-0.229766\pi\) | |||||||
\(984\) | 7.54235 | 0.240441 | ||||||||
\(985\) | 0.695590 | − | 2.24902i | 0.0221633 | − | 0.0716597i | ||||
\(986\) | −1.05513 | −0.0336022 | ||||||||
\(987\) | 5.84390i | 0.186013i | ||||||||
\(988\) | − | 8.16423i | − | 0.259739i | ||||||
\(989\) | 8.89970 | 0.282994 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.17000 | −0.0689322 | −0.0344661 | − | 0.999406i | \(-0.510973\pi\) | ||||
−0.0344661 | + | 0.999406i | \(0.510973\pi\) | |||||||
\(992\) | 37.0329i | 1.17580i | ||||||||
\(993\) | − | 5.14693i | − | 0.163333i | ||||||
\(994\) | 1.67482 | 0.0531219 | ||||||||
\(995\) | 4.87425 | + | 1.50754i | 0.154524 | + | 0.0477921i | ||||
\(996\) | 20.8050 | 0.659231 | ||||||||
\(997\) | 0.808994i | 0.0256211i | 0.999918 | + | 0.0128105i | \(0.00407783\pi\) | ||||
−0.999918 | + | 0.0128105i | \(0.995922\pi\) | |||||||
\(998\) | 1.84547i | 0.0584174i | ||||||||
\(999\) | 4.45218 | 0.140861 |
(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.364.8 | 24 | ||
5.2 | odd | 4 | 9075.2.a.dz.1.8 | 12 | |||
5.3 | odd | 4 | 9075.2.a.dy.1.5 | 12 | |||
5.4 | even | 2 | inner | 1815.2.c.j.364.17 | 24 | ||
11.5 | even | 5 | 165.2.s.a.124.9 | yes | 48 | ||
11.9 | even | 5 | 165.2.s.a.4.4 | ✓ | 48 | ||
11.10 | odd | 2 | 1815.2.c.k.364.17 | 24 | |||
33.5 | odd | 10 | 495.2.ba.c.289.4 | 48 | |||
33.20 | odd | 10 | 495.2.ba.c.334.9 | 48 | |||
55.9 | even | 10 | 165.2.s.a.4.9 | yes | 48 | ||
55.27 | odd | 20 | 825.2.n.o.751.3 | 24 | |||
55.32 | even | 4 | 9075.2.a.dx.1.5 | 12 | |||
55.38 | odd | 20 | 825.2.n.p.751.4 | 24 | |||
55.42 | odd | 20 | 825.2.n.o.301.3 | 24 | |||
55.43 | even | 4 | 9075.2.a.ea.1.8 | 12 | |||
55.49 | even | 10 | 165.2.s.a.124.4 | yes | 48 | ||
55.53 | odd | 20 | 825.2.n.p.301.4 | 24 | |||
55.54 | odd | 2 | 1815.2.c.k.364.8 | 24 | |||
165.104 | odd | 10 | 495.2.ba.c.289.9 | 48 | |||
165.119 | odd | 10 | 495.2.ba.c.334.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.s.a.4.4 | ✓ | 48 | 11.9 | even | 5 | ||
165.2.s.a.4.9 | yes | 48 | 55.9 | even | 10 | ||
165.2.s.a.124.4 | yes | 48 | 55.49 | even | 10 | ||
165.2.s.a.124.9 | yes | 48 | 11.5 | even | 5 | ||
495.2.ba.c.289.4 | 48 | 33.5 | odd | 10 | |||
495.2.ba.c.289.9 | 48 | 165.104 | odd | 10 | |||
495.2.ba.c.334.4 | 48 | 165.119 | odd | 10 | |||
495.2.ba.c.334.9 | 48 | 33.20 | odd | 10 | |||
825.2.n.o.301.3 | 24 | 55.42 | odd | 20 | |||
825.2.n.o.751.3 | 24 | 55.27 | odd | 20 | |||
825.2.n.p.301.4 | 24 | 55.53 | odd | 20 | |||
825.2.n.p.751.4 | 24 | 55.38 | odd | 20 | |||
1815.2.c.j.364.8 | 24 | 1.1 | even | 1 | trivial | ||
1815.2.c.j.364.17 | 24 | 5.4 | even | 2 | inner | ||
1815.2.c.k.364.8 | 24 | 55.54 | odd | 2 | |||
1815.2.c.k.364.17 | 24 | 11.10 | odd | 2 | |||
9075.2.a.dx.1.5 | 12 | 55.32 | even | 4 | |||
9075.2.a.dy.1.5 | 12 | 5.3 | odd | 4 | |||
9075.2.a.dz.1.8 | 12 | 5.2 | odd | 4 | |||
9075.2.a.ea.1.8 | 12 | 55.43 | even | 4 |