Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1456,2,Mod(417,1456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1456, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1456.417");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1456 = 2^{4} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1456.r (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.6262185343\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 8x^{8} + 7x^{7} + 41x^{6} + 18x^{5} + 58x^{4} + 28x^{3} + 64x^{2} + 16x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3 \) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 625.3 | ||
Root | \(0.597828 - 1.03547i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1456.625 |
Dual form | 1456.2.r.p.417.3 |
$q$-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 \(\left(\mathbb{Z}/1456\mathbb{Z}\right)^\times\).
\(n\) | \(561\) | \(911\) | \(1093\) | \(1249\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.129894 | − | 0.224983i | −0.0749945 | − | 0.129894i | 0.826089 | − | 0.563539i | \(-0.190561\pi\) |
−0.901084 | + | 0.433645i | \(0.857227\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.96625 | + | 3.40565i | −0.879336 | + | 1.52305i | −0.0272650 | + | 0.999628i | \(0.508680\pi\) |
−0.852071 | + | 0.523426i | \(0.824654\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.12324 | + | 2.39548i | −0.424546 | + | 0.905406i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.46625 | − | 2.53963i | 0.488752 | − | 0.846543i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.25314 | + | 3.90255i | 0.679346 | + | 1.17666i | 0.975178 | + | 0.221422i | \(0.0710699\pi\) |
−0.295832 | + | 0.955240i | \(0.595597\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.00000 | 0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.02162 | 0.263781 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.14070 | + | 1.97576i | 0.276661 | + | 0.479192i | 0.970553 | − | 0.240888i | \(-0.0774386\pi\) |
−0.693891 | + | 0.720080i | \(0.744105\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.893841 | + | 1.54818i | −0.205061 | + | 0.355177i | −0.950152 | − | 0.311786i | \(-0.899073\pi\) |
0.745091 | + | 0.666963i | \(0.232406\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.684846 | − | 0.0584481i | 0.149446 | − | 0.0127544i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.870106 | − | 1.50707i | 0.181430 | − | 0.314245i | −0.760938 | − | 0.648825i | \(-0.775261\pi\) |
0.942368 | + | 0.334579i | \(0.108594\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −5.23232 | − | 9.06264i | −1.04646 | − | 1.81253i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.54120 | −0.296604 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.65110 | 0.306602 | 0.153301 | − | 0.988180i | \(-0.451010\pi\) | ||||
0.153301 | + | 0.988180i | \(0.451010\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.80262 | + | 4.85427i | 0.503365 | + | 0.871853i | 0.999992 | + | 0.00388953i | \(0.00123808\pi\) |
−0.496628 | + | 0.867964i | \(0.665429\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.585339 | − | 1.01384i | 0.101894 | − | 0.176486i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −5.94959 | − | 8.53550i | −1.00566 | − | 1.44276i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.57204 | + | 6.18695i | −0.587239 | + | 1.01713i | 0.407353 | + | 0.913271i | \(0.366452\pi\) |
−0.994592 | + | 0.103857i | \(0.966881\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.129894 | − | 0.224983i | −0.0207997 | − | 0.0360262i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.11574 | −1.26746 | −0.633732 | − | 0.773552i | \(-0.718478\pi\) | ||||
−0.633732 | + | 0.773552i | \(0.718478\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.81353 | −1.03905 | −0.519527 | − | 0.854454i | \(-0.673892\pi\) | ||||
−0.519527 | + | 0.854454i | \(0.673892\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.76606 | + | 9.98711i | 0.859554 | + | 1.48879i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.77271 | − | 3.07043i | 0.258577 | − | 0.447868i | −0.707284 | − | 0.706929i | \(-0.750080\pi\) |
0.965861 | + | 0.259061i | \(0.0834131\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.47665 | − | 5.38141i | −0.639522 | − | 0.768773i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.296342 | − | 0.513279i | 0.0414962 | − | 0.0718735i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.64483 | − | 2.84892i | −0.225934 | − | 0.391330i | 0.730665 | − | 0.682736i | \(-0.239210\pi\) |
−0.956599 | + | 0.291406i | \(0.905877\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −17.7210 | −2.38949 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.464419 | 0.0615138 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.25314 | + | 3.90255i | 0.293333 | + | 0.508068i | 0.974596 | − | 0.223971i | \(-0.0719021\pi\) |
−0.681262 | + | 0.732039i | \(0.738569\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.77234 | + | 6.53388i | −0.482998 | + | 0.836577i | −0.999809 | − | 0.0195220i | \(-0.993786\pi\) |
0.516811 | + | 0.856099i | \(0.327119\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 4.43667 | + | 6.36500i | 0.558968 | + | 0.801915i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.96625 | + | 3.40565i | −0.243884 | + | 0.422419i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.33263 | − | 10.9684i | −0.773653 | − | 1.34001i | −0.935548 | − | 0.353199i | \(-0.885094\pi\) |
0.161895 | − | 0.986808i | \(-0.448239\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.452087 | −0.0544249 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.54869 | −1.13322 | −0.566610 | − | 0.823986i | \(-0.691746\pi\) | ||||
−0.566610 | + | 0.823986i | \(0.691746\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.540019 | − | 0.935340i | −0.0632044 | − | 0.109473i | 0.832692 | − | 0.553737i | \(-0.186799\pi\) |
−0.895896 | + | 0.444264i | \(0.853465\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.35930 | + | 2.35437i | −0.156958 | + | 0.271859i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −11.8793 | + | 1.01384i | −1.35377 | + | 0.115537i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.395849 | − | 0.685630i | 0.0445365 | − | 0.0771394i | −0.842898 | − | 0.538074i | \(-0.819152\pi\) |
0.887434 | + | 0.460934i | \(0.152486\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −4.19857 | − | 7.27214i | −0.466508 | − | 0.808016i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 7.14643 | 0.784422 | 0.392211 | − | 0.919875i | \(-0.371710\pi\) | ||||
0.392211 | + | 0.919875i | \(0.371710\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.97166 | −0.973114 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.214468 | − | 0.371470i | −0.0229934 | − | 0.0398258i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 5.63281 | − | 9.75631i | 0.597077 | − | 1.03417i | −0.396174 | − | 0.918176i | \(-0.629662\pi\) |
0.993250 | − | 0.115992i | \(-0.0370045\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.12324 | + | 2.39548i | −0.117748 | + | 0.251115i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.728087 | − | 1.26108i | 0.0754991 | − | 0.130768i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.51504 | − | 6.08823i | −0.360636 | − | 0.624639i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.81353 | −0.894879 | −0.447439 | − | 0.894314i | \(-0.647664\pi\) | ||||
−0.447439 | + | 0.894314i | \(0.647664\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 13.2147 | 1.32813 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.15855 | + | 12.3990i | 0.712303 | + | 1.23374i | 0.963991 | + | 0.265936i | \(0.0856810\pi\) |
−0.251688 | + | 0.967808i | \(0.580986\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.74607 | + | 6.48839i | −0.369111 | + | 0.639320i | −0.989427 | − | 0.145033i | \(-0.953671\pi\) |
0.620315 | + | 0.784352i | \(0.287005\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.14753 | + | 2.44727i | −0.111987 | + | 0.238829i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.48919 | − | 9.50756i | 0.530660 | − | 0.919130i | −0.468700 | − | 0.883357i | \(-0.655277\pi\) |
0.999360 | − | 0.0357726i | \(-0.0113892\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.22314 | + | 10.7788i | 0.596068 | + | 1.03242i | 0.993395 | + | 0.114744i | \(0.0366046\pi\) |
−0.397327 | + | 0.917677i | \(0.630062\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.85595 | 0.176159 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.65110 | −0.155323 | −0.0776613 | − | 0.996980i | \(-0.524745\pi\) | ||||
−0.0776613 | + | 0.996980i | \(0.524745\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.42170 | + | 5.92656i | 0.319075 | + | 0.552654i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.46625 | − | 2.53963i | 0.135555 | − | 0.234789i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −6.01418 | + | 0.513279i | −0.551319 | + | 0.0470522i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.65325 | + | 8.05967i | −0.423023 | + | 0.732697i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.05419 | + | 1.82591i | 0.0950528 | + | 0.164636i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 21.4897 | 1.92210 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.49297 | 0.398687 | 0.199343 | − | 0.979930i | \(-0.436119\pi\) | ||||
0.199343 | + | 0.979930i | \(0.436119\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.885039 | + | 1.53293i | 0.0779233 | + | 0.134967i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.32836 | + | 10.9610i | −0.552911 | + | 0.957670i | 0.445151 | + | 0.895455i | \(0.353150\pi\) |
−0.998063 | + | 0.0622152i | \(0.980184\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.70463 | − | 3.88016i | −0.234521 | − | 0.336453i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.03039 | − | 5.24878i | 0.260814 | − | 0.451743i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.64321 | + | 8.04227i | 0.396696 | + | 0.687097i | 0.993316 | − | 0.115426i | \(-0.0368234\pi\) |
−0.596620 | + | 0.802524i | \(0.703490\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.00000 | 0.339276 | 0.169638 | − | 0.985506i | \(-0.445740\pi\) | ||||
0.169638 | + | 0.985506i | \(0.445740\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.921061 | −0.0775673 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.25314 | + | 3.90255i | 0.188417 | + | 0.326347i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.24649 | + | 5.62308i | −0.269606 | + | 0.466971i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.629237 | + | 1.70619i | −0.0518986 | + | 0.140724i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 7.58243 | − | 13.1332i | 0.621177 | − | 1.07591i | −0.368090 | − | 0.929790i | \(-0.619988\pi\) |
0.989267 | − | 0.146120i | \(-0.0466786\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.57079 | + | 4.45274i | 0.209208 | + | 0.362359i | 0.951465 | − | 0.307756i | \(-0.0995780\pi\) |
−0.742257 | + | 0.670115i | \(0.766245\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 6.69025 | 0.540875 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −22.0426 | −1.77051 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.36557 | + | 9.29344i | 0.428219 | + | 0.741697i | 0.996715 | − | 0.0809889i | \(-0.0258078\pi\) |
−0.568496 | + | 0.822686i | \(0.692474\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.427307 | + | 0.740117i | −0.0338877 | + | 0.0586951i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.63281 | + | 3.77712i | 0.207495 | + | 0.297679i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.18620 | − | 2.05455i | 0.0929101 | − | 0.160925i | −0.815824 | − | 0.578300i | \(-0.803716\pi\) |
0.908734 | + | 0.417375i | \(0.137050\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.30185 | + | 3.98692i | 0.179199 | + | 0.310382i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −12.0784 | −0.934653 | −0.467327 | − | 0.884085i | \(-0.654783\pi\) | ||||
−0.467327 | + | 0.884085i | \(0.654783\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.62120 | + | 4.54005i | 0.200448 | + | 0.347186i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 9.70485 | − | 16.8093i | 0.737846 | − | 1.27799i | −0.215618 | − | 0.976478i | \(-0.569176\pi\) |
0.953463 | − | 0.301509i | \(-0.0974902\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 27.5865 | − | 2.35437i | 2.08535 | − | 0.177974i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.585339 | − | 1.01384i | 0.0439968 | − | 0.0762046i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.32219 | + | 12.6824i | 0.547286 | + | 0.947928i | 0.998459 | + | 0.0554912i | \(0.0176725\pi\) |
−0.451173 | + | 0.892437i | \(0.648994\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.44627 | −0.702136 | −0.351068 | − | 0.936350i | \(-0.614181\pi\) | ||||
−0.351068 | + | 0.936350i | \(0.614181\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.96002 | 0.144889 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −14.0471 | − | 24.3302i | −1.03276 | − | 1.78879i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.14033 | + | 8.90331i | −0.375898 | + | 0.651074i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.73114 | − | 3.69191i | 0.125922 | − | 0.268547i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.27687 | − | 10.8719i | 0.454179 | − | 0.786660i | −0.544462 | − | 0.838786i | \(-0.683266\pi\) |
0.998641 | + | 0.0521252i | \(0.0165995\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.68430 | + | 8.11344i | 0.337183 | + | 0.584018i | 0.983902 | − | 0.178710i | \(-0.0571925\pi\) |
−0.646719 | + | 0.762729i | \(0.723859\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.02162 | 0.0731598 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −7.62276 | −0.543099 | −0.271550 | − | 0.962424i | \(-0.587536\pi\) | ||||
−0.271550 | + | 0.962424i | \(0.587536\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.76443 | + | 11.7163i | 0.479518 | + | 0.830549i | 0.999724 | − | 0.0234914i | \(-0.00747822\pi\) |
−0.520206 | + | 0.854041i | \(0.674145\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.64514 | + | 2.84947i | −0.116039 | + | 0.200986i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1.85459 | + | 3.95518i | −0.130167 | + | 0.277599i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 15.9576 | − | 27.6394i | 1.11453 | − | 1.93042i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.55159 | − | 4.41949i | −0.177348 | − | 0.307176i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −8.05579 | −0.557231 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.7995 | 1.08768 | 0.543840 | − | 0.839189i | \(-0.316970\pi\) | ||||
0.543840 | + | 0.839189i | \(0.316970\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.24032 | + | 2.14830i | 0.0849853 | + | 0.147199i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 13.3971 | − | 23.2045i | 0.913678 | − | 1.58254i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −14.7763 | + | 1.26108i | −1.00308 | + | 0.0856080i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −0.140291 | + | 0.242991i | −0.00947997 | + | 0.0164198i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.14070 | + | 1.97576i | 0.0767321 | + | 0.132904i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −22.4737 | −1.50495 | −0.752474 | − | 0.658622i | \(-0.771139\pi\) | ||||
−0.752474 | + | 0.658622i | \(0.771139\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −30.6876 | −2.04584 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −4.60124 | − | 7.96959i | −0.305395 | − | 0.528960i | 0.671954 | − | 0.740593i | \(-0.265455\pi\) |
−0.977349 | + | 0.211633i | \(0.932122\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.64611 | + | 13.2435i | −0.505269 | + | 0.875152i | 0.494712 | + | 0.869057i | \(0.335274\pi\) |
−0.999981 | + | 0.00609528i | \(0.998060\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.77115 | + | 2.54095i | 0.116533 | + | 0.167182i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 4.02789 | − | 6.97652i | 0.263876 | − | 0.457047i | −0.703392 | − | 0.710802i | \(-0.748332\pi\) |
0.967269 | + | 0.253755i | \(0.0816656\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.97121 | + | 12.0745i | 0.454752 | + | 0.787653i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.205674 | −0.0133600 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −21.7258 | −1.40533 | −0.702663 | − | 0.711523i | \(-0.748006\pi\) | ||||
−0.702663 | + | 0.711523i | \(0.748006\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.2490 | + | 17.7518i | 0.660195 | + | 1.14349i | 0.980564 | + | 0.196199i | \(0.0628598\pi\) |
−0.320369 | + | 0.947293i | \(0.603807\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −3.40254 | + | 5.89337i | −0.218273 | + | 0.378060i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 27.1295 | − | 4.66470i | 1.73324 | − | 0.298017i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.893841 | + | 1.54818i | −0.0568738 | + | 0.0985083i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.928280 | − | 1.60783i | −0.0588273 | − | 0.101892i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.60871 | −0.164660 | −0.0823301 | − | 0.996605i | \(-0.526236\pi\) | ||||
−0.0823301 | + | 0.996605i | \(0.526236\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.84187 | 0.493014 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.16537 | + | 2.01848i | 0.0729781 | + | 0.126402i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 4.49838 | − | 7.79142i | 0.280601 | − | 0.486016i | −0.690932 | − | 0.722920i | \(-0.742799\pi\) |
0.971533 | + | 0.236904i | \(0.0761328\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.8084 | − | 15.5062i | −0.671604 | − | 0.963508i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.42094 | − | 4.19318i | 0.149852 | − | 0.259551i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.716961 | + | 1.24181i | 0.0442097 | + | 0.0765735i | 0.887284 | − | 0.461224i | \(-0.152590\pi\) |
−0.843074 | + | 0.537798i | \(0.819256\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 12.9366 | 0.794689 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.92668 | −0.179110 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.08416 | + | 7.07397i | 0.249016 | + | 0.431308i | 0.963253 | − | 0.268596i | \(-0.0865596\pi\) |
−0.714237 | + | 0.699904i | \(0.753226\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.106159 | + | 0.183872i | −0.00644867 | + | 0.0111694i | −0.869232 | − | 0.494405i | \(-0.835386\pi\) |
0.862783 | + | 0.505574i | \(0.168719\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.684846 | − | 0.0584481i | 0.0414488 | − | 0.00353744i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 23.5783 | − | 40.8387i | 1.42182 | − | 2.46267i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.4875 | − | 19.8969i | −0.690215 | − | 1.19549i | −0.971767 | − | 0.235942i | \(-0.924182\pi\) |
0.281552 | − | 0.959546i | \(-0.409151\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 16.4374 | 0.984081 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.345228 | −0.0205946 | −0.0102973 | − | 0.999947i | \(-0.503278\pi\) | ||||
−0.0102973 | + | 0.999947i | \(0.503278\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.4857 | − | 25.0900i | −0.861087 | − | 1.49145i | −0.870880 | − | 0.491495i | \(-0.836451\pi\) |
0.00979277 | − | 0.999952i | \(-0.496883\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.913167 | + | 1.58165i | −0.0540913 | + | 0.0936889i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 9.11594 | − | 19.4411i | 0.538097 | − | 1.14757i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.89759 | − | 10.2149i | 0.346917 | − | 0.600878i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.14483 | + | 1.98290i | 0.0671109 | + | 0.116240i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 31.5427 | 1.84274 | 0.921372 | − | 0.388682i | \(-0.127070\pi\) | ||||
0.921372 | + | 0.388682i | \(0.127070\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −17.7210 | −1.03175 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.47253 | − | 6.01460i | −0.201497 | − | 0.349002i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.870106 | − | 1.50707i | 0.0503195 | − | 0.0871560i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.65325 | − | 16.3217i | 0.441126 | − | 0.940766i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 1.85971 | − | 3.22111i | 0.106838 | − | 0.185048i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −14.8348 | − | 25.6945i | −0.849435 | − | 1.47127i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 18.1941 | 1.03839 | 0.519197 | − | 0.854655i | \(-0.326231\pi\) | ||||
0.519197 | + | 0.854655i | \(0.326231\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.94637 | 0.110725 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.188312 | − | 0.326165i | −0.0106782 | − | 0.0184951i | 0.860637 | − | 0.509219i | \(-0.170066\pi\) |
−0.871315 | + | 0.490724i | \(0.836732\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.49415 | + | 9.51615i | −0.310548 | + | 0.537884i | −0.978481 | − | 0.206337i | \(-0.933846\pi\) |
0.667933 | + | 0.744221i | \(0.267179\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −30.4006 | + | 2.59454i | −1.71288 | + | 0.146186i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −13.0903 | + | 22.6731i | −0.735225 | + | 1.27345i | 0.219400 | + | 0.975635i | \(0.429590\pi\) |
−0.954625 | + | 0.297812i | \(0.903743\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.72016 | + | 6.44350i | 0.208289 | + | 0.360767i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.85206 | −0.159186 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.07844 | −0.226930 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.23232 | − | 9.06264i | −0.290237 | − | 0.502705i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.61670 | − | 2.80020i | 0.0894037 | − | 0.154852i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 5.36397 | + | 7.69534i | 0.295725 | + | 0.424258i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.0466 | + | 29.5256i | −0.936967 | + | 1.62287i | −0.165878 | + | 0.986146i | \(0.553046\pi\) |
−0.771089 | + | 0.636728i | \(0.780288\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 10.4750 | + | 18.1433i | 0.574028 | + | 0.994246i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 49.8062 | 2.72120 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.7532 | 0.803657 | 0.401829 | − | 0.915715i | \(-0.368375\pi\) | ||||
0.401829 | + | 0.915715i | \(0.368375\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.214468 | + | 0.371470i | 0.0116483 | + | 0.0201755i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −12.6294 | + | 21.8747i | −0.683918 | + | 1.18458i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.9194 | − | 4.67910i | 0.967558 | − | 0.252648i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.888918 | − | 1.53965i | 0.0478577 | − | 0.0828920i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 14.9733 | + | 25.9345i | 0.803809 | + | 1.39224i | 0.917092 | + | 0.398675i | \(0.130530\pi\) |
−0.113284 | + | 0.993563i | \(0.536137\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −13.4793 | −0.721532 | −0.360766 | − | 0.932656i | \(-0.617485\pi\) | ||||
−0.360766 | + | 0.932656i | \(0.617485\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.54120 | −0.0822630 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −0.0817659 | − | 0.141623i | −0.00435196 | − | 0.00753781i | 0.863841 | − | 0.503764i | \(-0.168052\pi\) |
−0.868193 | + | 0.496226i | \(0.834719\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 18.7752 | − | 32.5195i | 0.996482 | − | 1.72596i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.896686 | + | 1.28642i | 0.0474577 | + | 0.0680845i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 4.46065 | − | 7.72607i | 0.235424 | − | 0.407766i | −0.723972 | − | 0.689830i | \(-0.757685\pi\) |
0.959396 | + | 0.282063i | \(0.0910188\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.90209 | + | 13.6868i | 0.415900 | + | 0.720359i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.41772 | 0.126898 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.24726 | 0.222312 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 18.3276 | + | 31.7443i | 0.956693 | + | 1.65704i | 0.730445 | + | 0.682971i | \(0.239313\pi\) |
0.226248 | + | 0.974070i | \(0.427354\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −11.8997 | + | 20.6110i | −0.619476 | + | 1.07296i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 8.67208 | − | 0.740117i | 0.450232 | − | 0.0384250i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.5637 | + | 23.4930i | −0.702302 | + | 1.21642i | 0.265355 | + | 0.964151i | \(0.414511\pi\) |
−0.967656 | + | 0.252271i | \(0.918822\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −2.79139 | − | 4.83483i | −0.144147 | − | 0.249670i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.65110 | 0.0850360 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.8943 | 0.816434 | 0.408217 | − | 0.912885i | \(-0.366151\pi\) | ||||
0.408217 | + | 0.912885i | \(0.366151\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.583611 | − | 1.01084i | −0.0298993 | − | 0.0517871i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0.575394 | − | 0.996611i | 0.0294013 | − | 0.0509245i | −0.850950 | − | 0.525246i | \(-0.823973\pi\) |
0.880352 | + | 0.474322i | \(0.157307\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 19.9049 | − | 42.4502i | 1.01445 | − | 2.16346i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −9.99038 | + | 17.3038i | −0.507839 | + | 0.879604i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 7.15651 | + | 12.3954i | 0.362850 | + | 0.628474i | 0.988429 | − | 0.151687i | \(-0.0484705\pi\) |
−0.625579 | + | 0.780161i | \(0.715137\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.97013 | 0.200778 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.28807 | 0.165861 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.55668 | + | 2.69625i | 0.0783251 | + | 0.135663i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.9588 | − | 22.4453i | 0.650383 | − | 1.12650i | −0.332647 | − | 0.943051i | \(-0.607942\pi\) |
0.983030 | − | 0.183445i | \(-0.0587248\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.521656 | + | 1.11251i | −0.0261154 | + | 0.0556950i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.14816 | − | 3.72072i | 0.107274 | − | 0.185804i | −0.807391 | − | 0.590017i | \(-0.799121\pi\) |
0.914665 | + | 0.404213i | \(0.132455\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.80262 | + | 4.85427i | 0.139608 | + | 0.241809i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 33.0219 | 1.64087 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −32.1931 | −1.59575 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 12.3536 | + | 21.3970i | 0.610844 | + | 1.05801i | 0.991098 | + | 0.133131i | \(0.0425030\pi\) |
−0.380255 | + | 0.924882i | \(0.624164\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.20625 | − | 2.08929i | 0.0595000 | − | 0.103057i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −11.8793 | + | 1.01384i | −0.584542 | + | 0.0498876i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.0517 | + | 24.3383i | −0.689771 | + | 1.19472i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.519577 | − | 0.899934i | −0.0254438 | − | 0.0440699i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 24.9293 | 1.21787 | 0.608937 | − | 0.793218i | \(-0.291596\pi\) | ||||
0.608937 | + | 0.793218i | \(0.291596\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.0000 | −0.487370 | −0.243685 | − | 0.969854i | \(-0.578356\pi\) | ||||
−0.243685 | + | 0.969854i | \(0.578356\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5.19850 | − | 9.00407i | −0.252760 | − | 0.437793i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 11.9371 | − | 20.6756i | 0.579032 | − | 1.00291i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −11.4145 | − | 16.3757i | −0.552388 | − | 0.792475i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.585339 | − | 1.01384i | 0.0282604 | − | 0.0489485i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −2.84426 | − | 4.92639i | −0.137003 | − | 0.237296i | 0.789358 | − | 0.613933i | \(-0.210414\pi\) |
−0.926361 | + | 0.376637i | \(0.877080\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.2598 | 0.589169 | 0.294584 | − | 0.955625i | \(-0.404819\pi\) | ||||
0.294584 | + | 0.955625i | \(0.404819\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.68680 | 0.0808758 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.55547 | + | 2.69416i | 0.0744084 | + | 0.128879i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.51158 | − | 4.35019i | 0.119871 | − | 0.207623i | −0.799845 | − | 0.600206i | \(-0.795085\pi\) |
0.919717 | + | 0.392583i | \(0.128418\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −20.2307 | + | 3.47851i | −0.963367 | + | 0.165643i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 0.289401 | − | 0.501258i | 0.0137499 | − | 0.0238155i | −0.859069 | − | 0.511860i | \(-0.828956\pi\) |
0.872818 | + | 0.488045i | \(0.162290\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 22.1511 | + | 38.3668i | 1.05006 | + | 1.81876i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −3.93966 | −0.186339 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −7.36359 | −0.347509 | −0.173755 | − | 0.984789i | \(-0.555590\pi\) | ||||
−0.173755 | + | 0.984789i | \(0.555590\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −18.2859 | − | 31.6720i | −0.861048 | − | 1.49138i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.667862 | − | 1.15677i | 0.0313789 | − | 0.0543499i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.94959 | − | 8.53550i | −0.278921 | − | 0.400150i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.95912 | + | 6.85739i | −0.185200 | + | 0.320775i | −0.943644 | − | 0.330963i | \(-0.892627\pi\) |
0.758444 | + | 0.651738i | \(0.225960\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.75805 | − | 3.04503i | −0.0820588 | − | 0.142130i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9.53600 | −0.444136 | −0.222068 | − | 0.975031i | \(-0.571281\pi\) | ||||
−0.222068 | + | 0.975031i | \(0.571281\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.16049 | −0.100406 | −0.0502032 | − | 0.998739i | \(-0.515987\pi\) | ||||
−0.0502032 | + | 0.998739i | \(0.515987\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 2.86321 | + | 4.95923i | 0.132778 | + | 0.229979i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −4.05950 | + | 7.03126i | −0.187851 | + | 0.325368i | −0.944534 | − | 0.328415i | \(-0.893486\pi\) |
0.756682 | + | 0.653783i | \(0.226819\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 33.3877 | − | 2.84947i | 1.54170 | − | 0.131576i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.39391 | − | 2.41433i | 0.0642281 | − | 0.111246i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −15.3518 | − | 26.5901i | −0.705878 | − | 1.22262i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 18.7074 | 0.858357 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −9.64694 | −0.441703 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 7.27663 | + | 12.6035i | 0.332478 | + | 0.575868i | 0.982997 | − | 0.183621i | \(-0.0587820\pi\) |
−0.650519 | + | 0.759490i | \(0.725449\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.57204 | + | 6.18695i | −0.162871 | + | 0.282101i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.507803 | − | 1.08297i | 0.0231058 | − | 0.0492766i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 17.3297 | − | 30.0158i | 0.786899 | − | 1.36295i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.6295 | − | 28.8031i | −0.753554 | − | 1.30519i | −0.946090 | − | 0.323904i | \(-0.895005\pi\) |
0.192536 | − | 0.981290i | \(-0.438329\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −0.616320 | −0.0278710 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 22.5563 | 1.01795 | 0.508977 | − | 0.860780i | \(-0.330024\pi\) | ||||
0.508977 | + | 0.860780i | \(0.330024\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.88342 | + | 3.26218i | 0.0848249 | + | 0.146921i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −25.9835 | + | 45.0047i | −1.16787 | + | 2.02281i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 10.7255 | − | 22.8737i | 0.481104 | − | 1.02603i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.69271 | + | 9.86007i | −0.254841 | + | 0.441397i | −0.964852 | − | 0.262793i | \(-0.915356\pi\) |
0.710011 | + | 0.704190i | \(0.248690\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.56891 | + | 2.71743i | 0.0700938 | + | 0.121406i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 8.81825 | 0.393186 | 0.196593 | − | 0.980485i | \(-0.437012\pi\) | ||||
0.196593 | + | 0.980485i | \(0.437012\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −56.3022 | −2.50541 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.129894 | − | 0.224983i | −0.00576880 | − | 0.00999186i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −9.64188 | + | 16.7002i | −0.427369 | + | 0.740225i | −0.996638 | − | 0.0819263i | \(-0.973893\pi\) |
0.569269 | + | 0.822151i | \(0.307226\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.84716 | − | 0.242991i | 0.125951 | − | 0.0107493i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.37759 | − | 2.38605i | 0.0608219 | − | 0.105347i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −14.7315 | − | 25.5156i | −0.649146 | − | 1.12435i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15.9767 | 0.702653 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −5.04241 | −0.221337 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −12.5584 | − | 21.7518i | −0.550193 | − | 0.952963i | −0.998260 | − | 0.0589629i | \(-0.981221\pi\) |
0.448067 | − | 0.894000i | \(-0.352113\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.9824 | + | 25.9503i | −0.655134 | + | 1.13473i | 0.326726 | + | 0.945119i | \(0.394054\pi\) |
−0.981860 | + | 0.189606i | \(0.939279\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −4.11303 | − | 5.90069i | −0.179507 | − | 0.257527i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −6.39391 | + | 11.0746i | −0.278523 | + | 0.482416i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.98583 | + | 17.2960i | 0.434167 | + | 0.751999i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 13.2147 | 0.573469 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −8.11574 | −0.351532 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 21.5863 | + | 37.3886i | 0.933257 | + | 1.61645i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.90222 | − | 3.29474i | 0.0820869 | − | 0.142179i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 10.9147 | − | 29.5954i | 0.470130 | − | 1.27476i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.54987 | + | 4.41650i | −0.109627 | + | 0.189880i | −0.915619 | − | 0.402046i | \(-0.868299\pi\) |
0.805992 | + | 0.591926i | \(0.201632\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.22702 | + | 2.12525i | 0.0526563 | + | 0.0912034i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −48.9451 | −2.09658 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.92025 | −0.124861 | −0.0624305 | − | 0.998049i | \(-0.519885\pi\) | ||||
−0.0624305 | + | 0.998049i | \(0.519885\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 11.0624 | + | 19.1607i | 0.472132 | + | 0.817757i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.47582 | + | 2.55620i | −0.0628722 | + | 0.108898i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.19778 | + | 1.71838i | 0.0509348 | + | 0.0730728i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −3.64927 | + | 6.32071i | −0.154903 | + | 0.268299i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −12.9937 | − | 22.5058i | −0.550561 | − | 0.953600i | −0.998234 | − | 0.0594024i | \(-0.981080\pi\) |
0.447673 | − | 0.894197i | \(-0.352253\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −6.81353 | −0.288182 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.67079 | 0.112761 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 1.82534 | + | 3.16159i | 0.0769291 | + | 0.133245i | 0.901924 | − | 0.431896i | \(-0.142155\pi\) |
−0.824994 | + | 0.565141i | \(0.808822\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.24649 | − | 5.62308i | 0.136581 | − | 0.236565i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 22.1363 | − | 1.88922i | 0.929637 | − | 0.0793397i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 12.6766 | − | 21.9566i | 0.531432 | − | 0.920468i | −0.467895 | − | 0.883784i | \(-0.654987\pi\) |
0.999327 | − | 0.0366835i | \(-0.0116793\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 13.8626 | + | 24.0108i | 0.580133 | + | 1.00482i | 0.995463 | + | 0.0951493i | \(0.0303329\pi\) |
−0.415330 | + | 0.909671i | \(0.636334\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.26132 | −0.136244 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −18.2107 | −0.759438 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −19.7877 | − | 34.2733i | −0.823773 | − | 1.42682i | −0.902854 | − | 0.429948i | \(-0.858532\pi\) |
0.0790809 | − | 0.996868i | \(-0.474801\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.21693 | − | 2.10778i | 0.0505737 | − | 0.0875963i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −8.02717 | + | 17.1191i | −0.333023 | + | 0.710221i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.41204 | − | 12.8380i | 0.306975 | − | 0.531697i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 5.76606 | + | 9.98711i | 0.238397 | + | 0.412916i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 8.24177 | 0.340174 | 0.170087 | − | 0.985429i | \(-0.445595\pi\) | ||||
0.170087 | + | 0.985429i | \(0.445595\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.0204 | −0.412882 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.990153 | + | 1.71500i | 0.0407295 | + | 0.0705455i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 5.96149 | − | 10.3256i | 0.244809 | − | 0.424021i | −0.717269 | − | 0.696796i | \(-0.754608\pi\) |
0.962078 | + | 0.272775i | \(0.0879415\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10.0774 | − | 21.4914i | 0.413131 | − | 0.881063i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 1.75732 | − | 3.04377i | 0.0719224 | − | 0.124573i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −17.8079 | − | 30.8442i | −0.727611 | − | 1.26026i | −0.957890 | − | 0.287135i | \(-0.907297\pi\) |
0.230279 | − | 0.973125i | \(-0.426036\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 38.9252 | 1.58779 | 0.793896 | − | 0.608054i | \(-0.208050\pi\) | ||||
0.793896 | + | 0.608054i | \(0.208050\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −37.1410 | −1.51250 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −18.2990 | − | 31.6947i | −0.743959 | − | 1.28857i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.84828 | + | 11.8616i | −0.277963 | + | 0.481446i | −0.970878 | − | 0.239573i | \(-0.922993\pi\) |
0.692915 | + | 0.721019i | \(0.256326\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.13075 | − | 0.0965037i | 0.0458203 | − | 0.00391053i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.77271 | − | 3.07043i | 0.0717163 | − | 0.124216i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.58056 | − | 2.73761i | −0.0638382 | − | 0.110571i | 0.832340 | − | 0.554266i | \(-0.187001\pi\) |
−0.896178 | + | 0.443695i | \(0.853667\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −8.29120 | −0.334334 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 20.9297 | 0.842597 | 0.421299 | − | 0.906922i | \(-0.361574\pi\) | ||||
0.421299 | + | 0.906922i | \(0.361574\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 15.4772 | + | 26.8073i | 0.622082 | + | 1.07748i | 0.989097 | + | 0.147262i | \(0.0470461\pi\) |
−0.367016 | + | 0.930215i | \(0.619621\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.34100 | + | 2.32269i | −0.0538127 | + | 0.0932063i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 17.0440 | + | 24.4520i | 0.682855 | + | 0.979648i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −16.0927 | + | 27.8734i | −0.643708 | + | 1.11494i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.04640 | + | 1.81242i | 0.0417892 | + | 0.0723810i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −16.2986 | −0.649866 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.1218 | 0.601988 | 0.300994 | − | 0.953626i | \(-0.402682\pi\) | ||||
0.300994 | + | 0.953626i | \(0.402682\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −2.05226 | − | 3.55462i | −0.0815700 | − | 0.141283i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −8.83433 | + | 15.3015i | −0.350580 | + | 0.607222i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.47665 | − | 5.38141i | −0.177371 | − | 0.213219i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −14.0008 | + | 24.2501i | −0.553864 | + | 0.959320i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 23.6207 | + | 40.9123i | 0.932962 | + | 1.61594i | 0.778229 | + | 0.627981i | \(0.216118\pi\) |
0.154733 | + | 0.987956i | \(0.450548\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −39.9249 | −1.57448 | −0.787241 | − | 0.616645i | \(-0.788491\pi\) | ||||
−0.787241 | + | 0.616645i | \(0.788491\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.96085 | −0.274083 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −14.9139 | − | 25.8317i | −0.586327 | − | 1.01555i | −0.994709 | − | 0.102736i | \(-0.967240\pi\) |
0.408382 | − | 0.912811i | \(-0.366093\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10.1533 | + | 17.5859i | −0.398550 | + | 0.690309i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.20308 | + | 3.16062i | 0.0863456 | + | 0.123875i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −12.5774 | + | 21.7848i | −0.492194 | + | 0.852504i | −0.999960 | − | 0.00899079i | \(-0.997138\pi\) |
0.507766 | + | 0.861495i | \(0.330471\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −24.8863 | − | 43.1044i | −0.972390 | − | 1.68423i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −3.16722 | −0.123565 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −17.3155 | −0.674517 | −0.337258 | − | 0.941412i | \(-0.609500\pi\) | ||||
−0.337258 | + | 0.941412i | \(0.609500\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.60037 | + | 7.96808i | 0.178934 | + | 0.309922i | 0.941516 | − | 0.336969i | \(-0.109402\pi\) |
−0.762582 | + | 0.646892i | \(0.776069\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.296342 | − | 0.513279i | 0.0115090 | − | 0.0199341i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 18.5325 | − | 1.58165i | 0.718659 | − | 0.0613338i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.43663 | − | 2.48832i | 0.0556266 | − | 0.0963482i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.91920 | + | 5.05620i | 0.112863 | + | 0.195484i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −33.9984 | −1.31249 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.3609 | 0.669212 | 0.334606 | − | 0.942358i | \(-0.391397\pi\) | ||||
0.334606 | + | 0.942358i | \(0.391397\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 8.06403 | + | 13.9673i | 0.310385 | + | 0.537602i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −24.9913 | + | 43.2861i | −0.960492 | + | 1.66362i | −0.239225 | + | 0.970964i | \(0.576893\pi\) |
−0.721267 | + | 0.692657i | \(0.756440\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.89974 | − | 21.1126i | 0.379917 | − | 0.810229i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.19535 | + | 2.07041i | −0.0458059 | + | 0.0793382i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 16.8077 | + | 29.1117i | 0.643128 | + | 1.11393i | 0.984731 | + | 0.174086i | \(0.0556969\pi\) |
−0.341603 | + | 0.939844i | \(0.610970\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −36.5189 | −1.39532 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.97274 | 0.151570 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −1.64483 | − | 2.84892i | −0.0626629 | − | 0.108535i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.56545 | + | 13.1038i | −0.287803 | + | 0.498490i | −0.973285 | − | 0.229600i | \(-0.926258\pi\) |
0.685482 | + | 0.728090i | \(0.259592\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −14.8433 | + | 31.6555i | −0.563851 | + | 1.20249i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −7.86502 | + | 13.6226i | −0.298337 | + | 0.516735i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.25766 | − | 16.0347i | −0.350659 | − | 0.607359i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −2.09280 | −0.0791570 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.02467 | 0.0764705 | 0.0382353 | − | 0.999269i | \(-0.487826\pi\) | ||||
0.0382353 | + | 0.999269i | \(0.487826\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.38567 | − | 11.0603i | −0.240840 | − | 0.417147i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.81104 | − | 3.13681i | 0.0682077 | − | 0.118139i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −37.7423 | + | 3.22111i | −1.41945 | + | 0.121142i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.2276 | − | 26.3751i | 0.571886 | − | 0.990536i | −0.424486 | − | 0.905434i | \(-0.639545\pi\) |
0.996372 | − | 0.0851015i | \(-0.0271215\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.16083 | − | 2.01062i | −0.0435346 | − | 0.0754041i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 9.75429 | 0.365301 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −17.7210 | −0.662727 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 2.82206 | + | 4.88795i | 0.105392 | + | 0.182544i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −12.2123 | + | 21.1523i | −0.455442 | + | 0.788848i | −0.998713 | − | 0.0507089i | \(-0.983852\pi\) |
0.543272 | + | 0.839557i | \(0.317185\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −11.3351 | − | 16.2617i | −0.422139 | − | 0.605616i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 2.66257 | − | 4.61170i | 0.0990220 | − | 0.171511i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −8.63908 | − | 14.9633i | −0.320848 | − | 0.555724i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.09307 | 0.114716 | 0.0573578 | − | 0.998354i | \(-0.481732\pi\) | ||||
0.0573578 | + | 0.998354i | \(0.481732\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −23.4236 | −0.867539 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7.77223 | − | 13.4619i | −0.287466 | − | 0.497906i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.20713 | − | 7.28697i | 0.155394 | − | 0.269150i | −0.777808 | − | 0.628501i | \(-0.783669\pi\) |
0.933202 | + | 0.359351i | \(0.117002\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −4.57344 | − | 5.49776i | −0.168694 | − | 0.202788i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 28.5365 | − | 49.4267i | 1.05116 | − | 1.82066i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.61379 | − | 6.25927i | −0.132936 | − | 0.230251i | 0.791871 | − | 0.610688i | \(-0.209107\pi\) |
−0.924807 | + | 0.380437i | \(0.875774\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.464419 | 0.0170609 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 53.9092 | 1.97774 | 0.988869 | − | 0.148791i | \(-0.0475383\pi\) | ||||
0.988869 | + | 0.148791i | \(0.0475383\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 29.8180 | + | 51.6463i | 1.09245 | + | 1.89217i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 10.4785 | − | 18.1493i | 0.383388 | − | 0.664047i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 16.6095 | + | 23.8285i | 0.606897 | + | 0.870676i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.6221 | − | 25.3262i | 0.533568 | − | 0.924168i | −0.465663 | − | 0.884962i | \(-0.654184\pi\) |
0.999231 | − | 0.0392053i | \(-0.0124826\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.338856 | + | 0.586916i | 0.0123486 | + | 0.0213884i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −20.2193 | −0.735857 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −22.0597 | −0.801773 | −0.400887 | − | 0.916128i | \(-0.631298\pi\) | ||||
−0.400887 | + | 0.916128i | \(0.631298\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.01861 | − | 1.76429i | −0.0369733 | − | 0.0640397i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −8.90805 | + | 15.4292i | −0.322917 | + | 0.559308i | −0.981089 | − | 0.193560i | \(-0.937997\pi\) |
0.658172 | + | 0.752868i | \(0.271330\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −32.8105 | + | 2.80020i | −1.18782 | + | 0.101374i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −13.1547 | + | 22.7847i | −0.475611 | + | 0.823782i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 2.25314 | + | 3.90255i | 0.0813561 | + | 0.140913i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −11.3069 | −0.407738 | −0.203869 | − | 0.978998i | \(-0.565352\pi\) | ||||
−0.203869 | + | 0.978998i | \(0.565352\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.33725 | −0.0841741 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.964104 | + | 1.66988i | 0.0346764 | + | 0.0600613i | 0.882843 | − | 0.469669i | \(-0.155627\pi\) |
−0.848166 | + | 0.529730i | \(0.822293\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 29.3284 | − | 50.7982i | 1.05351 | − | 1.82472i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −2.08468 | + | 4.44588i | −0.0747875 | + | 0.159495i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 7.25418 | − | 12.5646i | 0.259908 | − | 0.450174i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −21.5145 | − | 37.2642i | −0.769849 | − | 1.33342i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.54467 | −0.0909392 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −42.2003 | −1.50619 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.76577 | + | 4.79046i | 0.0985892 | + | 0.170761i | 0.911101 | − | 0.412183i | \(-0.135234\pi\) |
−0.812512 | + | 0.582945i | \(0.801900\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0.186258 | − | 0.322609i | 0.00663097 | − | 0.0114852i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1.85459 | − | 3.95518i | 0.0659415 | − | 0.140630i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.77234 | + | 6.53388i | −0.133960 | + | 0.232025i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −1.68039 | − | 2.91052i | −0.0595973 | − | 0.103225i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −13.8038 | −0.488955 | −0.244477 | − | 0.969655i | \(-0.578616\pi\) | ||||
−0.244477 | + | 0.969655i | \(0.578616\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.08857 | 0.286153 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −16.5183 | − | 28.6105i | −0.583644 | − | 1.01090i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 2.43347 | − | 4.21490i | 0.0858754 | − | 0.148741i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −18.0404 | + | 1.53965i | −0.635839 | + | 0.0542656i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1.06102 | − | 1.83774i | 0.0373496 | − | 0.0646914i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −14.1498 | − | 24.5082i | −0.497480 | − | 0.861661i | 0.502515 | − | 0.864568i | \(-0.332408\pi\) |
−0.999996 | + | 0.00290700i | \(0.999075\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.2124 | 0.428837 | 0.214418 | − | 0.976742i | \(-0.431214\pi\) | ||||
0.214418 | + | 0.976742i | \(0.431214\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.0551575 | 0.00193446 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 4.66473 | + | 8.07955i | 0.163398 | + | 0.283014i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 6.09022 | − | 10.5486i | 0.213070 | − | 0.369048i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 4.43667 | + | 6.36500i | 0.155030 | + | 0.222411i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 20.7005 | − | 35.8544i | 0.722453 | − | 1.25133i | −0.237560 | − | 0.971373i | \(-0.576348\pi\) |
0.960014 | − | 0.279953i | \(-0.0903189\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 23.5876 | + | 40.8550i | 0.822213 | + | 1.42411i | 0.904031 | + | 0.427467i | \(0.140594\pi\) |
−0.0818184 | + | 0.996647i | \(0.526073\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −12.2507 | −0.426515 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21.1124 | −0.734150 | −0.367075 | − | 0.930191i | \(-0.619641\pi\) | ||||
−0.367075 | + | 0.930191i | \(0.619641\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.318376 | + | 0.551444i | 0.0110577 | + | 0.0191524i | 0.871501 | − | 0.490393i | \(-0.163147\pi\) |
−0.860444 | + | 0.509546i | \(0.829813\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.98431 | + | 5.16898i | −0.103525 | + | 0.179310i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 5.52583 | − | 14.9834i | 0.191459 | − | 0.519143i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 23.7492 | − | 41.1348i | 0.821874 | − | 1.42353i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −4.31938 | − | 7.48139i | −0.149300 | − | 0.258595i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 26.9432 | 0.930183 | 0.465092 | − | 0.885263i | \(-0.346021\pi\) | ||||
0.465092 | + | 0.885263i | \(0.346021\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.2739 | −0.905995 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.0448431 | + | 0.0776705i | 0.00154448 | + | 0.00267511i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1.96625 | + | 3.40565i | −0.0676412 | + | 0.117158i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −14.0800 | − | 20.1997i | −0.483796 | − | 0.694071i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −3.76323 | + | 6.51810i | −0.129154 | + | 0.223701i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.21610 | + | 10.7666i | 0.213085 | + | 0.369074i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.74784 | 0.231042 | 0.115521 | − | 0.993305i | \(-0.463146\pi\) | ||||
0.115521 | + | 0.993305i | \(0.463146\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −20.6158 | −0.705045 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 22.5134 | + | 38.9943i | 0.769043 | + | 1.33202i | 0.938082 | + | 0.346412i | \(0.112600\pi\) |
−0.169040 | + | 0.985609i | \(0.554067\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −18.3635 | + | 31.8065i | −0.626554 | + | 1.08522i | 0.361684 | + | 0.932301i | \(0.382202\pi\) |
−0.988238 | + | 0.152923i | \(0.951131\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −5.55803 | + | 0.474349i | −0.189417 | + | 0.0161658i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −21.7137 | + | 37.6093i | −0.739144 | + | 1.28024i | 0.213737 | + | 0.976891i | \(0.431437\pi\) |
−0.952881 | + | 0.303344i | \(0.901897\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 38.1644 | + | 66.1027i | 1.29763 | + | 2.24756i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −3.06425 | −0.104067 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.56761 | 0.121023 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.33263 | − | 10.9684i | −0.214573 | − | 0.371651i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −12.9229 | + | 22.3831i | −0.437373 | + | 0.757553i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −24.1382 | + | 51.4782i | −0.816020 | + | 1.74028i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −20.0040 | + | 34.6480i | −0.675488 | + | 1.16998i | 0.300838 | + | 0.953675i | \(0.402734\pi\) |
−0.976326 | + | 0.216304i | \(0.930600\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −4.09721 | − | 7.09658i | −0.138196 | − | 0.239362i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 35.4308 | 1.19370 | 0.596848 | − | 0.802355i | \(-0.296420\pi\) | ||||
0.596848 | + | 0.802355i | \(0.296420\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −22.6654 | −0.762751 | −0.381375 | − | 0.924420i | \(-0.624549\pi\) | ||||
−0.381375 | + | 0.924420i | \(0.624549\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.30185 | + | 3.98692i | 0.0773759 | + | 0.134019i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 22.3440 | − | 38.7010i | 0.750240 | − | 1.29945i | −0.197467 | − | 0.980310i | \(-0.563271\pi\) |
0.947706 | − | 0.319144i | \(-0.103395\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −5.04670 | + | 10.7628i | −0.169261 | + | 0.360974i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 18.9199 | − | 32.7703i | 0.633841 | − | 1.09784i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 3.16905 | + | 5.48896i | 0.106048 | + | 0.183681i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −57.5892 | −1.92499 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.452087 | −0.0150947 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 4.62740 | + | 8.01489i | 0.154332 | + | 0.267312i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.75252 | − | 6.49956i | 0.125015 | − | 0.216532i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −4.66622 | + | 0.398238i | −0.155282 | + | 0.0132525i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 18.5738 | − | 32.1707i | 0.617413 | − | 1.06939i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 27.2374 | + | 47.1766i | 0.904403 | + | 1.56647i | 0.821717 | + | 0.569896i | \(0.193017\pi\) |
0.0826860 | + | 0.996576i | \(0.473650\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 41.9851 | 1.39256 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 27.4793 | 0.910431 | 0.455215 | − | 0.890381i | \(-0.349562\pi\) | ||||
0.455215 | + | 0.890381i | \(0.349562\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 16.1019 | + | 27.8893i | 0.532895 | + | 0.923000i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −3.85390 | + | 6.67514i | −0.127406 | + | 0.220673i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −19.1487 | − | 27.4714i | −0.632345 | − | 0.907184i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −24.1440 | + | 41.8186i | −0.796437 | + | 1.37947i | 0.125486 | + | 0.992095i | \(0.459951\pi\) |
−0.921923 | + | 0.387374i | \(0.873382\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.36331 | − | 4.09337i | −0.0778737 | − | 0.134881i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −9.54869 | −0.314299 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 74.7601 | 2.45810 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 10.9854 | + | 19.0273i | 0.360808 | + | 0.624937i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −21.6577 | + | 37.5122i | −0.710566 | + | 1.23074i | 0.254079 | + | 0.967183i | \(0.418228\pi\) |
−0.964645 | + | 0.263553i | \(0.915106\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.3328 | − | 2.12053i | 0.404191 | − | 0.0694975i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −0.0489212 | + | 0.0847339i | −0.00160161 | + | 0.00277406i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −20.2144 | − | 35.0123i | −0.661081 | − | 1.14503i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −37.2211 | −1.21596 | −0.607980 | − | 0.793952i | \(-0.708020\pi\) | ||||
−0.607980 | + | 0.793952i | \(0.708020\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 2.85463 | 0.0931574 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −7.98754 | − | 13.8348i | −0.260386 | − | 0.451002i | 0.705958 | − | 0.708253i | \(-0.250517\pi\) |
−0.966345 | + | 0.257251i | \(0.917183\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.06155 | + | 12.2310i | −0.229956 | + | 0.398295i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 9.16950 | + | 13.1549i | 0.298284 | + | 0.427929i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 13.8786 | − | 24.0384i | 0.450994 | − | 0.781144i | −0.547454 | − | 0.836836i | \(-0.684403\pi\) |
0.998448 | + | 0.0556912i | \(0.0177363\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.540019 | − | 0.935340i | −0.0175298 | − | 0.0303624i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 6.80142 | 0.220551 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 12.0303 | 0.389700 | 0.194850 | − | 0.980833i | \(-0.437578\pi\) | ||||
0.194850 | + | 0.980833i | \(0.437578\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 24.6839 | + | 42.7537i | 0.798751 | + | 1.38348i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.966454 | − | 1.67395i | 0.0312410 | − | 0.0541110i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −24.4805 | + | 2.08929i | −0.790518 | + | 0.0674666i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.209310 | + | 0.362536i | −0.00675194 | + | 0.0116947i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −16.0971 | − | 27.8810i | −0.518722 | − | 0.898453i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −36.8421 | −1.18599 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −5.40788 | −0.173906 | −0.0869528 | − | 0.996212i | \(-0.527713\pi\) | ||||
−0.0869528 | + | 0.996212i | \(0.527713\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.529765 | + | 0.917580i | 0.0170185 | + | 0.0294769i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 21.1376 | − | 36.6114i | 0.678338 | − | 1.17492i | −0.297143 | − | 0.954833i | \(-0.596034\pi\) |
0.975481 | − | 0.220083i | \(-0.0706329\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.49297 | + | 9.58192i | −0.144038 | + | 0.307182i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.35930 | + | 2.35437i | −0.0435323 | + | 0.0754001i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 5.41508 | + | 9.37920i | 0.173244 | + | 0.300067i | 0.939552 | − | 0.342406i | \(-0.111242\pi\) |
−0.766308 | + | 0.642473i | \(0.777908\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 50.7660 | 1.62249 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 36.4988 | 1.16532 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 10.7805 | + | 18.6723i | 0.343844 | + | 0.595555i | 0.985143 | − | 0.171736i | \(-0.0549375\pi\) |
−0.641299 | + | 0.767291i | \(0.721604\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 14.9883 | − | 25.9605i | 0.477567 | − | 0.827170i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.03458 | − | 2.20638i | 0.0329309 | − | 0.0702300i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −5.92850 | + | 10.2685i | −0.188515 | + | 0.326518i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.31312 | + | 7.47054i | 0.137011 | + | 0.237310i | 0.926364 | − | 0.376630i | \(-0.122917\pi\) |
−0.789353 | + | 0.613940i | \(0.789584\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 8.85703 | 0.281069 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −53.2024 | −1.68663 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −10.8484 | − | 18.7899i | −0.343571 | − | 0.595082i | 0.641522 | − | 0.767105i | \(-0.278303\pi\) |
−0.985093 | + | 0.172022i | \(0.944970\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 5.50521 | − | 9.53531i | 0.174177 | − | 0.301684i |
(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 | 1456.2.r.p.625.3 | 10 | ||
4.3 | odd | 2 | 91.2.e.c.79.4 | yes | 10 | ||
7.4 | even | 3 | inner | 1456.2.r.p.417.3 | 10 | ||
12.11 | even | 2 | 819.2.j.h.352.2 | 10 | |||
28.3 | even | 6 | 637.2.e.m.508.4 | 10 | |||
28.11 | odd | 6 | 91.2.e.c.53.4 | ✓ | 10 | ||
28.19 | even | 6 | 637.2.a.k.1.2 | 5 | |||
28.23 | odd | 6 | 637.2.a.l.1.2 | 5 | |||
28.27 | even | 2 | 637.2.e.m.79.4 | 10 | |||
52.51 | odd | 2 | 1183.2.e.f.170.2 | 10 | |||
84.11 | even | 6 | 819.2.j.h.235.2 | 10 | |||
84.23 | even | 6 | 5733.2.a.bl.1.4 | 5 | |||
84.47 | odd | 6 | 5733.2.a.bm.1.4 | 5 | |||
364.51 | odd | 6 | 8281.2.a.bw.1.4 | 5 | |||
364.103 | even | 6 | 8281.2.a.bx.1.4 | 5 | |||
364.207 | odd | 6 | 1183.2.e.f.508.2 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.e.c.53.4 | ✓ | 10 | 28.11 | odd | 6 | ||
91.2.e.c.79.4 | yes | 10 | 4.3 | odd | 2 | ||
637.2.a.k.1.2 | 5 | 28.19 | even | 6 | |||
637.2.a.l.1.2 | 5 | 28.23 | odd | 6 | |||
637.2.e.m.79.4 | 10 | 28.27 | even | 2 | |||
637.2.e.m.508.4 | 10 | 28.3 | even | 6 | |||
819.2.j.h.235.2 | 10 | 84.11 | even | 6 | |||
819.2.j.h.352.2 | 10 | 12.11 | even | 2 | |||
1183.2.e.f.170.2 | 10 | 52.51 | odd | 2 | |||
1183.2.e.f.508.2 | 10 | 364.207 | odd | 6 | |||
1456.2.r.p.417.3 | 10 | 7.4 | even | 3 | inner | ||
1456.2.r.p.625.3 | 10 | 1.1 | even | 1 | trivial | ||
5733.2.a.bl.1.4 | 5 | 84.23 | even | 6 | |||
5733.2.a.bm.1.4 | 5 | 84.47 | odd | 6 | |||
8281.2.a.bw.1.4 | 5 | 364.51 | odd | 6 | |||
8281.2.a.bx.1.4 | 5 | 364.103 | even | 6 |