Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(199,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.199");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.k (of order \(6\), 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: | \(5.38990213644\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 16x^{8} - 24x^{7} + 96x^{5} + 304x^{4} + 384x^{3} + 288x^{2} + 144x + 36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{2} \) |
Twist minimal: | no (minimal twist has level 45) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 424.3 | ||
Root | \(-0.403293 - 1.50511i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 675.424 |
Dual form | 675.2.k.b.199.3 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.495361 | − | 0.285997i | −0.350273 | − | 0.202230i | 0.314533 | − | 0.949247i | \(-0.398152\pi\) |
−0.664805 | + | 0.747017i | \(0.731486\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.836412 | − | 1.44871i | −0.418206 | − | 0.724354i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.23669 | + | 0.714003i | 0.467425 | + | 0.269868i | 0.715161 | − | 0.698960i | \(-0.246353\pi\) |
−0.247736 | + | 0.968828i | \(0.579687\pi\) | |||||||
\(8\) | 2.10083i | 0.742756i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.33641 | − | 2.31473i | 0.402943 | − | 0.697918i | −0.591136 | − | 0.806572i | \(-0.701321\pi\) |
0.994080 | + | 0.108653i | \(0.0346538\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.04678 | − | 2.33641i | 1.12238 | − | 0.648004i | 0.180370 | − | 0.983599i | \(-0.442271\pi\) |
0.942006 | + | 0.335595i | \(0.108937\pi\) | |||||||
\(14\) | −0.408405 | − | 0.707378i | −0.109151 | − | 0.189055i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.07199 | + | 1.85675i | −0.267998 | + | 0.464187i | ||||
\(17\) | 2.67282i | 0.648255i | 0.946013 | + | 0.324127i | \(0.105071\pi\) | ||||
−0.946013 | + | 0.324127i | \(0.894929\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.67282 | −1.07202 | −0.536010 | − | 0.844212i | \(-0.680069\pi\) | ||||
−0.536010 | + | 0.844212i | \(0.680069\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.32401 | + | 0.764419i | −0.282280 | + | 0.162975i | ||||
\(23\) | 5.12483 | − | 2.95882i | 1.06860 | − | 0.616957i | 0.140802 | − | 0.990038i | \(-0.455032\pi\) |
0.927799 | + | 0.373081i | \(0.121699\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.67282 | −0.524184 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | − | 2.38880i | − | 0.451441i | ||||||
\(29\) | 4.74482 | − | 8.21826i | 0.881090 | − | 1.52609i | 0.0309603 | − | 0.999521i | \(-0.490143\pi\) |
0.850130 | − | 0.526573i | \(-0.176523\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.48040 | − | 6.02823i | −0.625098 | − | 1.08270i | −0.988522 | − | 0.151078i | \(-0.951726\pi\) |
0.363424 | − | 0.931624i | \(-0.381608\pi\) | |||||||
\(32\) | 4.70079 | − | 2.71400i | 0.830990 | − | 0.479773i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.764419 | − | 1.32401i | 0.131097 | − | 0.227066i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.81681i | 0.298682i | 0.988786 | + | 0.149341i | \(0.0477152\pi\) | ||||
−0.988786 | + | 0.149341i | \(0.952285\pi\) | |||||||
\(38\) | 2.31473 | + | 1.33641i | 0.375499 | + | 0.216795i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.735581 | − | 1.27406i | −0.114879 | − | 0.198975i | 0.802853 | − | 0.596177i | \(-0.203315\pi\) |
−0.917731 | + | 0.397202i | \(0.869981\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.408039 | − | 0.235581i | −0.0622254 | − | 0.0359258i | 0.468565 | − | 0.883429i | \(-0.344771\pi\) |
−0.530790 | + | 0.847503i | \(0.678105\pi\) | |||||||
\(44\) | −4.47116 | −0.674053 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.38485 | −0.499069 | ||||||||
\(47\) | −6.02480 | − | 3.47842i | −0.878808 | − | 0.507380i | −0.00854274 | − | 0.999964i | \(-0.502719\pi\) |
−0.870265 | + | 0.492584i | \(0.836053\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.48040 | − | 4.29618i | −0.354343 | − | 0.613739i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −6.76956 | − | 3.90841i | −0.938769 | − | 0.541998i | ||||
\(53\) | 1.14399i | 0.157139i | 0.996909 | + | 0.0785693i | \(0.0250352\pi\) | ||||
−0.996909 | + | 0.0785693i | \(0.974965\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.50000 | + | 2.59808i | −0.200446 | + | 0.347183i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.70079 | + | 2.71400i | −0.617244 | + | 0.356366i | ||||
\(59\) | 0.571993 | + | 0.990721i | 0.0744672 | + | 0.128981i | 0.900854 | − | 0.434121i | \(-0.142941\pi\) |
−0.826387 | + | 0.563102i | \(0.809608\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.26442 | − | 2.19004i | 0.161892 | − | 0.280406i | −0.773655 | − | 0.633607i | \(-0.781574\pi\) |
0.935547 | + | 0.353201i | \(0.114907\pi\) | |||||||
\(62\) | 3.98153i | 0.505655i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.18319 | 0.147899 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.70751 | − | 3.29523i | 0.697283 | − | 0.402577i | −0.109051 | − | 0.994036i | \(-0.534781\pi\) |
0.806335 | + | 0.591459i | \(0.201448\pi\) | |||||||
\(68\) | 3.87214 | − | 2.23558i | 0.469566 | − | 0.271104i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.8745 | 1.52792 | 0.763960 | − | 0.645263i | \(-0.223252\pi\) | ||||
0.763960 | + | 0.645263i | \(0.223252\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 1.71203i | − | 0.200378i | −0.994968 | − | 0.100189i | \(-0.968055\pi\) | ||
0.994968 | − | 0.100189i | \(-0.0319447\pi\) | |||||||
\(74\) | 0.519602 | − | 0.899976i | 0.0604025 | − | 0.104620i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.90841 | + | 6.76956i | 0.448325 | + | 0.776521i | ||||
\(77\) | 3.30545 | − | 1.90841i | 0.376692 | − | 0.217483i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.143987 | + | 0.249392i | −0.0161998 | + | 0.0280588i | −0.874012 | − | 0.485905i | \(-0.838490\pi\) |
0.857812 | + | 0.513964i | \(0.171823\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.841495i | 0.0929276i | ||||||||
\(83\) | −3.71007 | − | 2.14201i | −0.407233 | − | 0.235116i | 0.282367 | − | 0.959306i | \(-0.408880\pi\) |
−0.689600 | + | 0.724190i | \(0.742214\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.134751 | + | 0.233396i | 0.0145306 | + | 0.0251677i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.86286 | + | 2.80757i | 0.518383 | + | 0.299288i | ||||
\(89\) | −3.00000 | −0.317999 | −0.159000 | − | 0.987279i | \(-0.550827\pi\) | ||||
−0.159000 | + | 0.987279i | \(0.550827\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.67282 | 0.699502 | ||||||||
\(92\) | −8.57293 | − | 4.94958i | −0.893790 | − | 0.516030i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.98963 | + | 3.44615i | 0.205215 | + | 0.355443i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.78555 | + | 3.91764i | 0.688968 | + | 0.397776i | 0.803225 | − | 0.595675i | \(-0.203115\pi\) |
−0.114257 | + | 0.993451i | \(0.536449\pi\) | |||||||
\(98\) | 2.83754i | 0.286635i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.10083 | + | 3.63875i | −0.209040 | + | 0.362069i | −0.951413 | − | 0.307919i | \(-0.900367\pi\) |
0.742372 | + | 0.669988i | \(0.233701\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.57340 | + | 0.908405i | −0.155032 | + | 0.0895078i | −0.575509 | − | 0.817795i | \(-0.695196\pi\) |
0.420477 | + | 0.907303i | \(0.361863\pi\) | |||||||
\(104\) | 4.90841 | + | 8.50161i | 0.481309 | + | 0.833651i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.327176 | − | 0.566686i | 0.0317782 | − | 0.0550414i | ||||
\(107\) | 11.9176i | 1.15212i | 0.817407 | + | 0.576061i | \(0.195411\pi\) | ||||
−0.817407 | + | 0.576061i | \(0.804589\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 16.6521 | 1.59498 | 0.797491 | − | 0.603331i | \(-0.206160\pi\) | ||||
0.797491 | + | 0.603331i | \(0.206160\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.65145 | + | 1.53081i | −0.250538 | + | 0.144648i | ||||
\(113\) | −17.4272 | + | 10.0616i | −1.63942 | + | 0.946518i | −0.658384 | + | 0.752682i | \(0.728760\pi\) |
−0.981034 | + | 0.193836i | \(0.937907\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −15.8745 | −1.47391 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 0.654353i | − | 0.0602380i | ||||||
\(119\) | −1.90841 | + | 3.30545i | −0.174943 | + | 0.303011i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.92801 | + | 3.33941i | 0.175273 | + | 0.303582i | ||||
\(122\) | −1.25269 | + | 0.723239i | −0.113413 | + | 0.0654790i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.82209 | + | 10.0842i | −0.522839 | + | 0.905584i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 2.18714i | − | 0.194078i | −0.995281 | − | 0.0970388i | \(-0.969063\pi\) | ||
0.995281 | − | 0.0970388i | \(-0.0309371\pi\) | |||||||
\(128\) | −9.98769 | − | 5.76640i | −0.882795 | − | 0.509682i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.00000 | − | 5.19615i | −0.262111 | − | 0.453990i | 0.704692 | − | 0.709514i | \(-0.251085\pi\) |
−0.966803 | + | 0.255524i | \(0.917752\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.77883 | − | 3.33641i | −0.501089 | − | 0.289304i | ||||
\(134\) | −3.76970 | −0.325653 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.61515 | −0.481495 | ||||||||
\(137\) | 8.83490 | + | 5.10083i | 0.754816 | + | 0.435793i | 0.827431 | − | 0.561567i | \(-0.189801\pi\) |
−0.0726153 | + | 0.997360i | \(0.523135\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.00000 | + | 6.92820i | 0.339276 | + | 0.587643i | 0.984297 | − | 0.176522i | \(-0.0564848\pi\) |
−0.645021 | + | 0.764165i | \(0.723151\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −6.37751 | − | 3.68206i | −0.535189 | − | 0.308992i | ||||
\(143\) | − | 12.4896i | − | 1.04444i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.489634 | + | 0.848071i | −0.0405224 | + | 0.0701868i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.63203 | − | 1.51960i | 0.216351 | − | 0.124910i | ||||
\(149\) | 10.0381 | + | 17.3865i | 0.822351 | + | 1.42435i | 0.903927 | + | 0.427687i | \(0.140671\pi\) |
−0.0815762 | + | 0.996667i | \(0.525995\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.51960 | + | 2.63203i | −0.123663 | + | 0.214191i | −0.921210 | − | 0.389066i | \(-0.872798\pi\) |
0.797546 | + | 0.603258i | \(0.206131\pi\) | |||||||
\(152\) | − | 9.81681i | − | 0.796248i | ||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.18319 | −0.175926 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.174643 | + | 0.100830i | −0.0139381 | + | 0.00804714i | −0.506953 | − | 0.861974i | \(-0.669228\pi\) |
0.493015 | + | 0.870021i | \(0.335895\pi\) | |||||||
\(158\) | 0.142651 | − | 0.0823593i | 0.0113487 | − | 0.00655216i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 8.45043 | 0.665987 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 17.8168i | 1.39552i | 0.716331 | + | 0.697760i | \(0.245820\pi\) | ||||
−0.716331 | + | 0.697760i | \(0.754180\pi\) | |||||||
\(164\) | −1.23050 | + | 2.13129i | −0.0960858 | + | 0.166425i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.22522 | + | 2.12214i | 0.0950952 | + | 0.164710i | ||||
\(167\) | 12.2117 | − | 7.05042i | 0.944968 | − | 0.545578i | 0.0534538 | − | 0.998570i | \(-0.482977\pi\) |
0.891514 | + | 0.452993i | \(0.149644\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.41764 | − | 7.65158i | 0.339819 | − | 0.588583i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.788172i | 0.0600976i | ||||||||
\(173\) | 3.78140 | + | 2.18319i | 0.287494 | + | 0.165985i | 0.636811 | − | 0.771020i | \(-0.280253\pi\) |
−0.349317 | + | 0.937005i | \(0.613586\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.86525 | + | 4.96276i | 0.215976 | + | 0.374082i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.48608 | + | 0.857990i | 0.111387 | + | 0.0643091i | ||||
\(179\) | −15.1625 | −1.13330 | −0.566648 | − | 0.823960i | \(-0.691760\pi\) | ||||
−0.566648 | + | 0.823960i | \(0.691760\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.20166 | 0.237978 | 0.118989 | − | 0.992896i | \(-0.462035\pi\) | ||||
0.118989 | + | 0.992896i | \(0.462035\pi\) | |||||||
\(182\) | −3.30545 | − | 1.90841i | −0.245017 | − | 0.141460i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 6.21598 | + | 10.7664i | 0.458248 | + | 0.793709i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.18687 | + | 3.57199i | 0.452429 | + | 0.261210i | ||||
\(188\) | 11.6376i | 0.848757i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.41877 | + | 2.45738i | −0.102659 | + | 0.177810i | −0.912779 | − | 0.408453i | \(-0.866068\pi\) |
0.810121 | + | 0.586263i | \(0.199402\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −16.2710 | + | 9.39409i | −1.17121 | + | 0.676201i | −0.953966 | − | 0.299915i | \(-0.903042\pi\) |
−0.217249 | + | 0.976116i | \(0.569708\pi\) | |||||||
\(194\) | −2.24086 | − | 3.88129i | −0.160885 | − | 0.278660i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.14927 | + | 7.18675i | −0.296376 | + | 0.513339i | ||||
\(197\) | 5.83528i | 0.415747i | 0.978156 | + | 0.207873i | \(0.0666542\pi\) | ||||
−0.978156 | + | 0.207873i | \(0.933346\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.0761 | −0.926943 | −0.463472 | − | 0.886112i | \(-0.653396\pi\) | ||||
−0.463472 | + | 0.886112i | \(0.653396\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.08134 | − | 1.20166i | 0.146442 | − | 0.0845486i | ||||
\(203\) | 11.7357 | − | 6.77563i | 0.823687 | − | 0.475556i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.03920 | 0.0724047 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 10.0185i | 0.694656i | ||||||||
\(209\) | −6.24482 | + | 10.8163i | −0.431963 | + | 0.748182i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.19243 | − | 7.26149i | −0.288618 | − | 0.499902i | 0.684862 | − | 0.728673i | \(-0.259863\pi\) |
−0.973480 | + | 0.228771i | \(0.926529\pi\) | |||||||
\(212\) | 1.65730 | − | 0.956844i | 0.113824 | − | 0.0657163i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.40841 | − | 5.90353i | 0.232994 | − | 0.403557i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 9.94006i | − | 0.674776i | ||||||
\(218\) | −8.24879 | − | 4.76244i | −0.558679 | − | 0.322553i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.24482 | + | 10.8163i | 0.420072 | + | 0.727586i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.93834 | − | 4.58321i | −0.531591 | − | 0.306914i | 0.210073 | − | 0.977686i | \(-0.432630\pi\) |
−0.741664 | + | 0.670772i | \(0.765963\pi\) | |||||||
\(224\) | 7.75123 | 0.517901 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 11.5104 | 0.765658 | ||||||||
\(227\) | 2.31473 | + | 1.33641i | 0.153634 | + | 0.0887008i | 0.574846 | − | 0.818261i | \(-0.305062\pi\) |
−0.421212 | + | 0.906962i | \(0.638395\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.27365 | + | 2.20603i | 0.0841654 | + | 0.145779i | 0.905035 | − | 0.425336i | \(-0.139844\pi\) |
−0.820870 | + | 0.571115i | \(0.806511\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 17.2652 | + | 9.96806i | 1.13351 | + | 0.654435i | ||||
\(233\) | 6.22013i | 0.407494i | 0.979024 | + | 0.203747i | \(0.0653121\pi\) | ||||
−0.979024 | + | 0.203747i | \(0.934688\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0.956844 | − | 1.65730i | 0.0622852 | − | 0.107881i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.89070 | − | 1.09159i | 0.122556 | − | 0.0707576i | ||||
\(239\) | −4.06163 | − | 7.03494i | −0.262725 | − | 0.455053i | 0.704240 | − | 0.709962i | \(-0.251288\pi\) |
−0.966965 | + | 0.254909i | \(0.917954\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.1821 | − | 22.8320i | 0.849131 | − | 1.47074i | −0.0328536 | − | 0.999460i | \(-0.510460\pi\) |
0.881985 | − | 0.471278i | \(-0.156207\pi\) | |||||||
\(242\) | − | 2.20561i | − | 0.141782i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4.23030 | −0.270817 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −18.9099 | + | 10.9176i | −1.20321 | + | 0.694673i | ||||
\(248\) | 12.6643 | − | 7.31173i | 0.804183 | − | 0.464295i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.549569 | 0.0346885 | 0.0173443 | − | 0.999850i | \(-0.494479\pi\) | ||||
0.0173443 | + | 0.999850i | \(0.494479\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 15.8168i | − | 0.994394i | ||||||
\(254\) | −0.625515 | + | 1.08342i | −0.0392483 | + | 0.0679801i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.11515 | + | 3.66355i | 0.132197 | + | 0.228972i | ||||
\(257\) | −15.5885 | + | 9.00000i | −0.972381 | + | 0.561405i | −0.899961 | − | 0.435970i | \(-0.856405\pi\) |
−0.0724199 | + | 0.997374i | \(0.523072\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.29721 | + | 2.24683i | −0.0806046 | + | 0.139611i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.43196i | 0.212027i | ||||||||
\(263\) | 10.3016 | + | 5.94761i | 0.635221 | + | 0.366745i | 0.782771 | − | 0.622309i | \(-0.213805\pi\) |
−0.147550 | + | 0.989055i | \(0.547139\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 1.90841 | + | 3.30545i | 0.117012 | + | 0.202670i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −9.54766 | − | 5.51234i | −0.583216 | − | 0.336720i | ||||
\(269\) | 28.5737 | 1.74217 | 0.871084 | − | 0.491134i | \(-0.163417\pi\) | ||||
0.871084 | + | 0.491134i | \(0.163417\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −23.3641 | −1.41927 | −0.709635 | − | 0.704570i | \(-0.751140\pi\) | ||||
−0.709635 | + | 0.704570i | \(0.751140\pi\) | |||||||
\(272\) | −4.96276 | − | 2.86525i | −0.300911 | − | 0.173731i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.91764 | − | 5.05350i | −0.176261 | − | 0.305293i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −13.0563 | − | 7.53807i | −0.784479 | − | 0.452919i | 0.0535366 | − | 0.998566i | \(-0.482951\pi\) |
−0.838015 | + | 0.545647i | \(0.816284\pi\) | |||||||
\(278\) | − | 4.57595i | − | 0.274447i | ||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.32605 | − | 5.76088i | 0.198415 | − | 0.343665i | −0.749599 | − | 0.661892i | \(-0.769754\pi\) |
0.948015 | + | 0.318226i | \(0.103087\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 23.2934 | − | 13.4485i | 1.38465 | − | 0.799428i | 0.391943 | − | 0.919989i | \(-0.371803\pi\) |
0.992706 | + | 0.120562i | \(0.0384696\pi\) | |||||||
\(284\) | −10.7684 | − | 18.6514i | −0.638985 | − | 1.10675i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.57199 | + | 6.18687i | −0.211216 | + | 0.365838i | ||||
\(287\) | − | 2.10083i | − | 0.124008i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.85601 | 0.579765 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.48023 | + | 1.43196i | −0.145144 | + | 0.0837991i | ||||
\(293\) | −10.7256 | + | 6.19243i | −0.626596 | + | 0.361765i | −0.779433 | − | 0.626486i | \(-0.784493\pi\) |
0.152837 | + | 0.988251i | \(0.451159\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −3.81681 | −0.221848 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 11.4834i | − | 0.665217i | ||||||
\(299\) | 13.8260 | − | 23.9474i | 0.799581 | − | 1.38491i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.336412 | − | 0.582682i | −0.0193905 | − | 0.0335853i | ||||
\(302\) | 1.50550 | − | 0.869202i | 0.0866319 | − | 0.0500169i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.00924 | − | 8.67625i | 0.287299 | − | 0.497617i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.49359i | 0.142317i | 0.997465 | + | 0.0711583i | \(0.0226695\pi\) | ||||
−0.997465 | + | 0.0711583i | \(0.977330\pi\) | |||||||
\(308\) | −5.52944 | − | 3.19243i | −0.315069 | − | 0.181905i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −12.1101 | − | 20.9752i | −0.686699 | − | 1.18940i | −0.972900 | − | 0.231228i | \(-0.925726\pi\) |
0.286201 | − | 0.958170i | \(-0.407608\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 30.3837 | + | 17.5420i | 1.71739 | + | 0.991534i | 0.923618 | + | 0.383315i | \(0.125218\pi\) |
0.793770 | + | 0.608219i | \(0.208116\pi\) | |||||||
\(314\) | 0.115349 | 0.00650950 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.481728 | 0.0270993 | ||||||||
\(317\) | 9.06829 | + | 5.23558i | 0.509326 | + | 0.294060i | 0.732557 | − | 0.680706i | \(-0.238327\pi\) |
−0.223231 | + | 0.974766i | \(0.571660\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −12.6821 | − | 21.9660i | −0.710059 | − | 1.22986i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −4.18601 | − | 2.41679i | −0.233277 | − | 0.134683i | ||||
\(323\) | − | 12.4896i | − | 0.694942i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 5.09555 | − | 8.82575i | 0.282216 | − | 0.488813i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.67659 | − | 1.54533i | 0.147790 | − | 0.0853267i | ||||
\(329\) | −4.96721 | − | 8.60346i | −0.273851 | − | 0.474324i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.38880 | + | 14.5298i | −0.461090 | + | 0.798632i | −0.999016 | − | 0.0443606i | \(-0.985875\pi\) |
0.537925 | + | 0.842993i | \(0.319208\pi\) | |||||||
\(332\) | 7.16641i | 0.393308i | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −8.06558 | −0.441329 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 23.5394 | − | 13.5905i | 1.28227 | − | 0.740320i | 0.305008 | − | 0.952350i | \(-0.401341\pi\) |
0.977263 | + | 0.212030i | \(0.0680074\pi\) | |||||||
\(338\) | −4.37665 | + | 2.52686i | −0.238058 | + | 0.137443i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −18.6050 | −1.00752 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 17.0801i | − | 0.922239i | ||||||
\(344\) | 0.494917 | − | 0.857221i | 0.0266841 | − | 0.0462182i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.24877 | − | 2.16293i | −0.0671343 | − | 0.116280i | ||||
\(347\) | −20.4086 | + | 11.7829i | −1.09559 | + | 0.632539i | −0.935059 | − | 0.354492i | \(-0.884654\pi\) |
−0.160530 | + | 0.987031i | \(0.551320\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.35601 | + | 9.27689i | −0.286701 | + | 0.496580i | −0.973020 | − | 0.230720i | \(-0.925892\pi\) |
0.686319 | + | 0.727300i | \(0.259225\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 14.5081i | − | 0.773285i | ||||||
\(353\) | 23.6141 | + | 13.6336i | 1.25685 | + | 0.725644i | 0.972461 | − | 0.233064i | \(-0.0748751\pi\) |
0.284392 | + | 0.958708i | \(0.408208\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 2.50924 | + | 4.34612i | 0.132989 | + | 0.230344i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.51089 | + | 4.33641i | 0.396963 | + | 0.229186i | ||||
\(359\) | −10.6807 | −0.563707 | −0.281854 | − | 0.959457i | \(-0.590949\pi\) | ||||
−0.281854 | + | 0.959457i | \(0.590949\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.83528 | 0.149225 | ||||||||
\(362\) | −1.58598 | − | 0.915664i | −0.0833571 | − | 0.0481262i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.58123 | − | 9.66697i | −0.292536 | − | 0.506687i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.33624 | − | 4.23558i | −0.382949 | − | 0.221096i | 0.296152 | − | 0.955141i | \(-0.404297\pi\) |
−0.679100 | + | 0.734045i | \(0.737630\pi\) | |||||||
\(368\) | 12.6873i | 0.661373i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.816810 | + | 1.41476i | −0.0424067 | + | 0.0734505i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.76700 | − | 5.06163i | 0.453938 | − | 0.262081i | −0.255554 | − | 0.966795i | \(-0.582258\pi\) |
0.709492 | + | 0.704714i | \(0.248925\pi\) | |||||||
\(374\) | −2.04316 | − | 3.53885i | −0.105649 | − | 0.182990i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.30757 | − | 12.6571i | 0.376859 | − | 0.652740i | ||||
\(377\) | − | 44.3434i | − | 2.28380i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.9216 | −0.612371 | −0.306186 | − | 0.951972i | \(-0.599053\pi\) | ||||
−0.306186 | + | 0.951972i | \(0.599053\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.40561 | − | 0.811528i | 0.0719171 | − | 0.0415214i | ||||
\(383\) | −8.50161 | + | 4.90841i | −0.434412 | + | 0.250808i | −0.701224 | − | 0.712941i | \(-0.747363\pi\) |
0.266813 | + | 0.963748i | \(0.414030\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 10.7467 | 0.546993 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | − | 13.1070i | − | 0.665409i | ||||||
\(389\) | −4.61007 | + | 7.98487i | −0.233740 | + | 0.404849i | −0.958906 | − | 0.283725i | \(-0.908430\pi\) |
0.725166 | + | 0.688574i | \(0.241763\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.90841 | + | 13.6978i | 0.399945 | + | 0.692725i | ||||
\(392\) | 9.02554 | − | 5.21090i | 0.455858 | − | 0.263190i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.66887 | − | 2.89057i | 0.0840765 | − | 0.145625i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.9793i | 1.15330i | 0.816993 | + | 0.576648i | \(0.195640\pi\) | ||||
−0.816993 | + | 0.576648i | \(0.804360\pi\) | |||||||
\(398\) | 6.47741 | + | 3.73973i | 0.324683 | + | 0.187456i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.53279 | − | 9.58307i | −0.276294 | − | 0.478556i | 0.694167 | − | 0.719814i | \(-0.255773\pi\) |
−0.970461 | + | 0.241259i | \(0.922440\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −28.1688 | − | 16.2633i | −1.40319 | − | 0.810132i | ||||
\(404\) | 7.02864 | 0.349688 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −7.75123 | −0.384687 | ||||||||
\(407\) | 4.20543 | + | 2.42801i | 0.208455 | + | 0.120352i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.81681 | − | 15.2712i | −0.435963 | − | 0.755110i | 0.561411 | − | 0.827537i | \(-0.310259\pi\) |
−0.997374 | + | 0.0724270i | \(0.976926\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.63203 | + | 1.51960i | 0.129671 | + | 0.0748654i | ||||
\(413\) | 1.63362i | 0.0803852i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 12.6821 | − | 21.9660i | 0.621789 | − | 1.07697i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.18687 | − | 3.57199i | 0.302610 | − | 0.174712i | ||||
\(419\) | −18.5173 | − | 32.0730i | −0.904631 | − | 1.56687i | −0.821411 | − | 0.570336i | \(-0.806813\pi\) |
−0.0832199 | − | 0.996531i | \(-0.526520\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.52884 | + | 4.38007i | −0.123248 | + | 0.213472i | −0.921047 | − | 0.389452i | \(-0.872664\pi\) |
0.797799 | + | 0.602924i | \(0.205998\pi\) | |||||||
\(422\) | 4.79608i | 0.233469i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.40332 | −0.116716 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.12739 | − | 1.80560i | 0.151345 | − | 0.0873790i | ||||
\(428\) | 17.2652 | − | 9.96806i | 0.834544 | − | 0.481824i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 5.23030 | 0.251935 | 0.125967 | − | 0.992034i | \(-0.459797\pi\) | ||||
0.125967 | + | 0.992034i | \(0.459797\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 34.3434i | 1.65044i | 0.564813 | + | 0.825219i | \(0.308948\pi\) | ||||
−0.564813 | + | 0.825219i | \(0.691052\pi\) | |||||||
\(434\) | −2.84283 | + | 4.92392i | −0.136460 | + | 0.236356i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.9280 | − | 24.1240i | −0.667031 | − | 1.15533i | ||||
\(437\) | −23.9474 | + | 13.8260i | −1.14556 | + | 0.661389i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −9.77365 | + | 16.9285i | −0.466471 | + | 0.807952i | −0.999267 | − | 0.0382924i | \(-0.987808\pi\) |
0.532796 | + | 0.846244i | \(0.321141\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 7.14399i | − | 0.339805i | ||||||
\(443\) | 9.09686 | + | 5.25208i | 0.432205 | + | 0.249534i | 0.700286 | − | 0.713863i | \(-0.253056\pi\) |
−0.268081 | + | 0.963396i | \(0.586389\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 2.62156 | + | 4.54068i | 0.124135 | + | 0.215007i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.46324 | + | 0.844801i | 0.0691315 | + | 0.0399131i | ||||
\(449\) | 22.8560 | 1.07864 | 0.539321 | − | 0.842100i | \(-0.318681\pi\) | ||||
0.539321 | + | 0.842100i | \(0.318681\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.93216 | −0.185158 | ||||||||
\(452\) | 29.1527 | + | 16.8313i | 1.37123 | + | 0.791679i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.764419 | − | 1.32401i | −0.0358759 | − | 0.0621390i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −12.1472 | − | 7.01319i | −0.568222 | − | 0.328063i | 0.188217 | − | 0.982127i | \(-0.439729\pi\) |
−0.756439 | + | 0.654064i | \(0.773063\pi\) | |||||||
\(458\) | − | 1.45704i | − | 0.0680832i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −12.0513 | + | 20.8734i | −0.561283 | + | 0.972171i | 0.436102 | + | 0.899897i | \(0.356359\pi\) |
−0.997385 | + | 0.0722736i | \(0.976975\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −29.3930 | + | 16.9700i | −1.36601 | + | 0.788664i | −0.990415 | − | 0.138121i | \(-0.955894\pi\) |
−0.375591 | + | 0.926785i | \(0.622560\pi\) | |||||||
\(464\) | 10.1728 | + | 17.6198i | 0.472261 | + | 0.817981i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.77894 | − | 3.08121i | 0.0824077 | − | 0.142734i | ||||
\(467\) | − | 27.3720i | − | 1.26663i | −0.773896 | − | 0.633313i | \(-0.781695\pi\) | ||
0.773896 | − | 0.633313i | \(-0.218305\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 9.41123 | 0.434570 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.08134 | + | 1.20166i | −0.0958013 | + | 0.0553109i | ||||
\(473\) | −1.09062 | + | 0.629668i | −0.0501466 | + | 0.0289521i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 6.38485 | 0.292649 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.64645i | 0.212524i | ||||||||
\(479\) | −2.61515 | + | 4.52957i | −0.119489 | + | 0.206961i | −0.919565 | − | 0.392937i | \(-0.871459\pi\) |
0.800076 | + | 0.599898i | \(0.204792\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.24482 | + | 7.35224i | 0.193547 | + | 0.335233i | ||||
\(482\) | −13.0597 | + | 7.54005i | −0.594855 | + | 0.343440i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.22522 | − | 5.58624i | 0.146601 | − | 0.253920i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 24.0185i | 1.08838i | 0.838962 | + | 0.544190i | \(0.183163\pi\) | ||||
−0.838962 | + | 0.544190i | \(0.816837\pi\) | |||||||
\(488\) | 4.60090 | + | 2.65633i | 0.208273 | + | 0.120246i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7.38880 | + | 12.7978i | 0.333452 | + | 0.577556i | 0.983186 | − | 0.182606i | \(-0.0584531\pi\) |
−0.649734 | + | 0.760161i | \(0.725120\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 21.9660 | + | 12.6821i | 0.989298 | + | 0.571171i | ||||
\(494\) | 12.4896 | 0.561935 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 14.9239 | 0.670101 | ||||||||
\(497\) | 15.9217 | + | 9.19243i | 0.714188 | + | 0.412337i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.4280 | + | 21.5259i | 0.556354 | + | 0.963633i | 0.997797 | + | 0.0663440i | \(0.0211335\pi\) |
−0.441443 | + | 0.897289i | \(0.645533\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.272235 | − | 0.157175i | −0.0121504 | − | 0.00701506i | ||||
\(503\) | − | 38.9154i | − | 1.73515i | −0.497305 | − | 0.867576i | \(-0.665677\pi\) | ||
0.497305 | − | 0.867576i | \(-0.334323\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −4.52355 | + | 7.83503i | −0.201097 | + | 0.348309i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.16853 | + | 1.82935i | −0.140581 | + | 0.0811644i | ||||
\(509\) | −1.01037 | − | 1.75001i | −0.0447837 | − | 0.0775676i | 0.842765 | − | 0.538282i | \(-0.180927\pi\) |
−0.887548 | + | 0.460715i | \(0.847593\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.22239 | − | 2.11725i | 0.0540755 | − | 0.0936615i | ||||
\(512\) | 20.6459i | 0.912428i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 10.2959 | 0.454132 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.1032 | + | 9.29721i | −0.708220 | + | 0.408891i | ||||
\(518\) | 1.28517 | − | 0.741995i | 0.0564672 | − | 0.0326014i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 23.0290 | 1.00892 | 0.504460 | − | 0.863435i | \(-0.331692\pi\) | ||||
0.504460 | + | 0.863435i | \(0.331692\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 41.1170i | − | 1.79792i | −0.438028 | − | 0.898961i | \(-0.644323\pi\) | ||
0.438028 | − | 0.898961i | \(-0.355677\pi\) | |||||||
\(524\) | −5.01847 | + | 8.69225i | −0.219233 | + | 0.379723i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.40199 | − | 5.89242i | −0.148334 | − | 0.256922i | ||||
\(527\) | 16.1124 | − | 9.30249i | 0.701867 | − | 0.405223i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.00924 | − | 10.4083i | 0.261271 | − | 0.452535i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 11.1625i | 0.483954i | ||||||||
\(533\) | −5.95348 | − | 3.43724i | −0.257874 | − | 0.148883i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 6.92272 | + | 11.9905i | 0.299016 | + | 0.517911i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −14.1543 | − | 8.17198i | −0.610234 | − | 0.352319i | ||||
\(539\) | −13.2593 | −0.571120 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.20957 | 0.223977 | 0.111988 | − | 0.993710i | \(-0.464278\pi\) | ||||
0.111988 | + | 0.993710i | \(0.464278\pi\) | |||||||
\(542\) | 11.5737 | + | 6.68206i | 0.497132 | + | 0.287019i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 7.25405 | + | 12.5644i | 0.311015 | + | 0.538694i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 34.6764 | + | 20.0204i | 1.48266 | + | 0.856013i | 0.999806 | − | 0.0196900i | \(-0.00626792\pi\) |
0.482851 | + | 0.875702i | \(0.339601\pi\) | |||||||
\(548\) | − | 17.0656i | − | 0.729005i | ||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −22.1717 | + | 38.4025i | −0.944546 | + | 1.63600i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.356133 | + | 0.205614i | −0.0151443 | + | 0.00874359i | ||||
\(554\) | 4.31173 | + | 7.46813i | 0.183188 | + | 0.317290i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.69129 | − | 11.5897i | 0.283774 | − | 0.491511i | ||||
\(557\) | − | 14.4033i | − | 0.610288i | −0.952306 | − | 0.305144i | \(-0.901295\pi\) | ||
0.952306 | − | 0.305144i | \(-0.0987047\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.20166 | −0.0931203 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.29518 | + | 1.90248i | −0.138999 | + | 0.0802511i | ||||
\(563\) | −25.4335 | + | 14.6840i | −1.07189 | + | 0.618858i | −0.928698 | − | 0.370836i | \(-0.879071\pi\) |
−0.143196 | + | 0.989694i | \(0.545738\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −15.3849 | −0.646674 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 27.0471i | 1.13487i | ||||||||
\(569\) | −23.4033 | + | 40.5357i | −0.981118 | + | 1.69935i | −0.323062 | + | 0.946378i | \(0.604712\pi\) |
−0.658056 | + | 0.752969i | \(0.728621\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.0000 | − | 17.3205i | −0.418487 | − | 0.724841i | 0.577301 | − | 0.816532i | \(-0.304106\pi\) |
−0.995788 | + | 0.0916910i | \(0.970773\pi\) | |||||||
\(572\) | −18.0938 | + | 10.4465i | −0.756541 | + | 0.436789i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.600830 | + | 1.04067i | −0.0250782 | + | 0.0434367i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 28.2386i | − | 1.17559i | −0.809010 | − | 0.587794i | \(-0.799996\pi\) | ||
0.809010 | − | 0.587794i | \(-0.200004\pi\) | |||||||
\(578\) | −4.88228 | − | 2.81879i | −0.203076 | − | 0.117246i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.05880 | − | 5.29801i | −0.126901 | − | 0.219798i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.64802 | + | 1.52884i | 0.109670 | + | 0.0633180i | ||||
\(584\) | 3.59668 | 0.148832 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.08405 | 0.292639 | ||||||||
\(587\) | −15.6598 | − | 9.04118i | −0.646348 | − | 0.373169i | 0.140707 | − | 0.990051i | \(-0.455062\pi\) |
−0.787056 | + | 0.616882i | \(0.788396\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 16.2633 | + | 28.1688i | 0.670117 | + | 1.16068i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.37336 | − | 1.94761i | −0.138644 | − | 0.0800462i | ||||
\(593\) | 7.73840i | 0.317778i | 0.987296 | + | 0.158889i | \(0.0507912\pi\) | ||||
−0.987296 | + | 0.158889i | \(0.949209\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 16.7919 | − | 29.0845i | 0.687824 | − | 1.19135i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −13.6978 | + | 7.90841i | −0.560143 | + | 0.323399i | ||||
\(599\) | 13.9608 | + | 24.1808i | 0.570423 | + | 0.988001i | 0.996522 | + | 0.0833249i | \(0.0265539\pi\) |
−0.426100 | + | 0.904676i | \(0.640113\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.2201 | + | 33.2902i | −0.784006 | + | 1.35794i | 0.145586 | + | 0.989346i | \(0.453493\pi\) |
−0.929591 | + | 0.368592i | \(0.879840\pi\) | |||||||
\(602\) | 0.384851i | 0.0156853i | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.08405 | 0.206867 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.554113 | − | 0.319917i | 0.0224907 | − | 0.0129850i | −0.488712 | − | 0.872445i | \(-0.662533\pi\) |
0.511203 | + | 0.859460i | \(0.329200\pi\) | |||||||
\(608\) | −21.9660 | + | 12.6821i | −0.890838 | + | 0.514325i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −32.5081 | −1.31514 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 42.7467i | 1.72652i | 0.504757 | + | 0.863262i | \(0.331582\pi\) | ||||
−0.504757 | + | 0.863262i | \(0.668418\pi\) | |||||||
\(614\) | 0.713157 | − | 1.23522i | 0.0287807 | − | 0.0498496i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.00924 | + | 6.94420i | 0.161537 | + | 0.279790i | ||||
\(617\) | 18.2753 | − | 10.5513i | 0.735737 | − | 0.424778i | −0.0847805 | − | 0.996400i | \(-0.527019\pi\) |
0.820517 | + | 0.571622i | \(0.193686\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.82605 | + | 11.8231i | −0.274362 | + | 0.475209i | −0.969974 | − | 0.243209i | \(-0.921800\pi\) |
0.695612 | + | 0.718418i | \(0.255133\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 13.8538i | 0.555485i | ||||||||
\(623\) | −3.71007 | − | 2.14201i | −0.148641 | − | 0.0858178i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −10.0339 | − | 17.3793i | −0.401036 | − | 0.694615i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.292148 | + | 0.168672i | 0.0116580 | + | 0.00673073i | ||||
\(629\) | −4.85601 | −0.193622 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.2593 | 1.32403 | 0.662017 | − | 0.749489i | \(-0.269701\pi\) | ||||
0.662017 | + | 0.749489i | \(0.269701\pi\) | |||||||
\(632\) | −0.523930 | − | 0.302491i | −0.0208408 | − | 0.0120325i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.99472 | − | 5.18700i | −0.118935 | − | 0.206002i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −20.0753 | − | 11.5905i | −0.795411 | − | 0.459231i | ||||
\(638\) | 14.5081i | 0.574381i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 13.1429 | − | 22.7641i | 0.519112 | − | 0.899128i | −0.480642 | − | 0.876917i | \(-0.659596\pi\) |
0.999753 | − | 0.0222106i | \(-0.00707044\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.8250 | − | 10.2913i | 0.702950 | − | 0.405848i | −0.105495 | − | 0.994420i | \(-0.533643\pi\) |
0.808445 | + | 0.588571i | \(0.200309\pi\) | |||||||
\(644\) | −7.06804 | − | 12.2422i | −0.278520 | − | 0.482410i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.57199 | + | 6.18687i | −0.140538 | + | 0.243419i | ||||
\(647\) | 23.2527i | 0.914159i | 0.889426 | + | 0.457079i | \(0.151104\pi\) | ||||
−0.889426 | + | 0.457079i | \(0.848896\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.05767 | 0.120024 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 25.8114 | − | 14.9022i | 1.01085 | − | 0.583615i | ||||
\(653\) | −16.2459 | + | 9.37957i | −0.635751 | + | 0.367051i | −0.782976 | − | 0.622052i | \(-0.786299\pi\) |
0.147225 | + | 0.989103i | \(0.452966\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 3.15415 | 0.123149 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 5.68242i | 0.221524i | ||||||||
\(659\) | 0.140034 | − | 0.242545i | 0.00545494 | − | 0.00944823i | −0.863285 | − | 0.504717i | \(-0.831597\pi\) |
0.868740 | + | 0.495268i | \(0.164930\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.8930 | + | 34.4556i | 0.773746 | + | 1.34017i | 0.935496 | + | 0.353336i | \(0.114953\pi\) |
−0.161750 | + | 0.986832i | \(0.551714\pi\) | |||||||
\(662\) | 8.31097 | − | 4.79834i | 0.323015 | − | 0.186493i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.50000 | − | 7.79423i | 0.174634 | − | 0.302475i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 56.1562i | − | 2.17438i | ||||||
\(668\) | −20.4280 | − | 11.7941i | −0.790382 | − | 0.456327i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −3.37957 | − | 5.85358i | −0.130467 | − | 0.225975i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −29.0368 | − | 16.7644i | −1.11929 | − | 0.646221i | −0.178068 | − | 0.984018i | \(-0.556985\pi\) |
−0.941219 | + | 0.337797i | \(0.890318\pi\) | |||||||
\(674\) | −15.5473 | −0.598860 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −14.7799 | −0.568456 | ||||||||
\(677\) | −23.8048 | − | 13.7437i | −0.914891 | − | 0.528213i | −0.0328897 | − | 0.999459i | \(-0.510471\pi\) |
−0.882002 | + | 0.471246i | \(0.843804\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.59442 | + | 9.68981i | 0.214694 | + | 0.371861i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 9.21618 | + | 5.32096i | 0.352906 | + | 0.203750i | ||||
\(683\) | 34.5865i | 1.32342i | 0.749762 | + | 0.661708i | \(0.230168\pi\) | ||||
−0.749762 | + | 0.661708i | \(0.769832\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −4.88485 | + | 8.46081i | −0.186504 | + | 0.323035i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.874830 | − | 0.505083i | 0.0333526 | − | 0.0192561i | ||||
\(689\) | 2.67282 | + | 4.62947i | 0.101826 | + | 0.176369i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −20.3641 | + | 35.2717i | −0.774688 | + | 1.34180i | 0.160282 | + | 0.987071i | \(0.448760\pi\) |
−0.934970 | + | 0.354727i | \(0.884574\pi\) | |||||||
\(692\) | − | 7.30418i | − | 0.277663i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 13.4795 | 0.511674 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.40535 | − | 1.96608i | 0.128987 | − | 0.0744706i | ||||
\(698\) | 5.30632 | − | 3.06360i | 0.200847 | − | 0.115959i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 19.4712 | 0.735416 | 0.367708 | − | 0.929941i | \(-0.380143\pi\) | ||||
0.367708 | + | 0.929941i | \(0.380143\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 8.48963i | − | 0.320193i | ||||||
\(704\) | 1.58123 | − | 2.73877i | 0.0595948 | − | 0.103221i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.79834 | − | 13.5071i | −0.293494 | − | 0.508347i | ||||
\(707\) | −5.19615 | + | 3.00000i | −0.195421 | + | 0.112827i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.54316 | − | 13.0651i | 0.283289 | − | 0.490671i | −0.688904 | − | 0.724853i | \(-0.741908\pi\) |
0.972193 | + | 0.234182i | \(0.0752410\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | − | 6.30249i | − | 0.236196i | ||||||
\(713\) | −35.6729 | − | 20.5957i | −1.33596 | − | 0.771317i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 12.6821 | + | 21.9660i | 0.473951 | + | 0.820907i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 5.29081 | + | 3.05465i | 0.197451 | + | 0.113999i | ||||
\(719\) | −3.43196 | −0.127990 | −0.0639952 | − | 0.997950i | \(-0.520384\pi\) | ||||
−0.0639952 | + | 0.997950i | \(0.520384\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.59442 | −0.0966211 | ||||||||
\(722\) | −1.40449 | − | 0.810881i | −0.0522696 | − | 0.0301779i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.67791 | − | 4.63827i | −0.0995236 | − | 0.172380i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −30.9789 | − | 17.8857i | −1.14895 | − | 0.663344i | −0.200315 | − | 0.979732i | \(-0.564197\pi\) |
−0.948630 | + | 0.316388i | \(0.897530\pi\) | |||||||
\(728\) | 14.0185i | 0.519559i | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.629668 | − | 1.09062i | 0.0232891 | − | 0.0403379i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.0526 | + | 11.0000i | −0.703722 | + | 0.406294i | −0.808732 | − | 0.588177i | \(-0.799846\pi\) |
0.105010 | + | 0.994471i | \(0.466513\pi\) | |||||||
\(734\) | 2.42272 | + | 4.19628i | 0.0894244 | + | 0.154888i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 16.0605 | − | 27.8176i | 0.591998 | − | 1.02537i | ||||
\(737\) | − | 17.6151i | − | 0.648862i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.08631 | −0.223889 | −0.111944 | − | 0.993714i | \(-0.535708\pi\) | ||||
−0.111944 | + | 0.993714i | \(0.535708\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.809231 | − | 0.467210i | 0.0297078 | − | 0.0171518i | ||||
\(743\) | 22.0853 | − | 12.7509i | 0.810231 | − | 0.467787i | −0.0368054 | − | 0.999322i | \(-0.511718\pi\) |
0.847036 | + | 0.531536i | \(0.178385\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −5.79043 | −0.212003 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 11.9506i | − | 0.436958i | ||||||
\(749\) | −8.50924 | + | 14.7384i | −0.310921 | + | 0.538530i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.19638 | + | 15.9286i | 0.335581 | + | 0.581243i | 0.983596 | − | 0.180384i | \(-0.0577342\pi\) |
−0.648016 | + | 0.761627i | \(0.724401\pi\) | |||||||
\(752\) | 12.9171 | − | 7.45769i | 0.471038 | − | 0.271954i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −12.6821 | + | 21.9660i | −0.461853 | + | 0.799953i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 41.8986i | 1.52283i | 0.648264 | + | 0.761415i | \(0.275495\pi\) | ||||
−0.648264 | + | 0.761415i | \(0.724505\pi\) | |||||||
\(758\) | 5.90549 | + | 3.40954i | 0.214497 | + | 0.123840i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −3.98568 | − | 6.90340i | −0.144481 | − | 0.250248i | 0.784698 | − | 0.619878i | \(-0.212818\pi\) |
−0.929179 | + | 0.369630i | \(0.879485\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 20.5935 | + | 11.8896i | 0.745534 | + | 0.430434i | ||||
\(764\) | 4.74671 | 0.171730 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.61515 | 0.202884 | ||||||||
\(767\) | 4.62947 | + | 2.67282i | 0.167160 | + | 0.0965101i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.01432 | + | 5.22095i | 0.108699 | + | 0.188272i | 0.915244 | − | 0.402901i | \(-0.131998\pi\) |
−0.806544 | + | 0.591174i | \(0.798665\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 27.2186 | + | 15.7147i | 0.979618 | + | 0.565583i | ||||
\(773\) | − | 44.4033i | − | 1.59708i | −0.601944 | − | 0.798538i | \(-0.705607\pi\) | ||
0.601944 | − | 0.798538i | \(-0.294393\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −8.23030 | + | 14.2553i | −0.295451 | + | 0.511735i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 4.56729 | − | 2.63693i | 0.163745 | − | 0.0945384i | ||||
\(779\) | 3.43724 | + | 5.95348i | 0.123152 | + | 0.213305i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 17.2056 | − | 29.8010i | 0.615665 | − | 1.06636i | ||||
\(782\) | − | 9.04711i | − | 0.323524i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 10.6359 | 0.379853 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −14.5817 | + | 8.41877i | −0.519783 | + | 0.300097i | −0.736846 | − | 0.676061i | \(-0.763686\pi\) |
0.217063 | + | 0.976158i | \(0.430352\pi\) | |||||||
\(788\) | 8.45362 | − | 4.88070i | 0.301148 | − | 0.173868i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −28.7361 | −1.02174 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 11.8168i | − | 0.419627i | ||||||
\(794\) | 6.57199 | − | 11.3830i | 0.233231 | − | 0.403968i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10.9370 | + | 18.9435i | 0.387653 | + | 0.671435i | ||||
\(797\) | −28.9010 | + | 16.6860i | −1.02373 | + | 0.591049i | −0.915181 | − | 0.403043i | \(-0.867953\pi\) |
−0.108545 | + | 0.994091i | \(0.534619\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.29721 | − | 16.1032i | 0.328912 | − | 0.569692i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 6.32944i | 0.223500i | ||||||||
\(803\) | −3.96289 | − | 2.28797i | −0.139847 | − | 0.0807408i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 9.30249 | + | 16.1124i | 0.327666 | + | 0.567535i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −7.64439 | − | 4.41349i | −0.268929 | − | 0.155266i | ||||
\(809\) | 29.1809 | 1.02595 | 0.512973 | − | 0.858404i | \(-0.328544\pi\) | ||||
0.512973 | + | 0.858404i | \(0.328544\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −15.5552 | −0.546217 | −0.273109 | − | 0.961983i | \(-0.588052\pi\) | ||||
−0.273109 | + | 0.961983i | \(0.588052\pi\) | |||||||
\(812\) | −19.6318 | − | 11.3344i | −0.688942 | − | 0.397761i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.38880 | − | 2.40548i | −0.0486775 | − | 0.0843120i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.90669 | + | 1.10083i | 0.0667068 | + | 0.0385132i | ||||
\(818\) | 10.0863i | 0.352660i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −11.8588 | + | 20.5401i | −0.413876 | + | 0.716855i | −0.995310 | − | 0.0967393i | \(-0.969159\pi\) |
0.581434 | + | 0.813594i | \(0.302492\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 16.7732 | − | 9.68404i | 0.584678 | − | 0.337564i | −0.178312 | − | 0.983974i | \(-0.557064\pi\) |
0.762990 | + | 0.646410i | \(0.223730\pi\) | |||||||
\(824\) | −1.90841 | − | 3.30545i | −0.0664824 | − | 0.115151i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.467210 | − | 0.809231i | 0.0162563 | − | 0.0281568i | ||||
\(827\) | 52.2241i | 1.81601i | 0.418960 | + | 0.908005i | \(0.362395\pi\) | ||||
−0.418960 | + | 0.908005i | \(0.637605\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 26.6442 | 0.925391 | 0.462695 | − | 0.886517i | \(-0.346882\pi\) | ||||
0.462695 | + | 0.886517i | \(0.346882\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 4.78811 | − | 2.76442i | 0.165998 | − | 0.0958390i | ||||
\(833\) | 11.4829 | − | 6.62967i | 0.397860 | − | 0.229704i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 20.8930 | 0.722598 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 21.1836i | 0.731775i | ||||||||
\(839\) | 12.5196 | − | 21.6846i | 0.432225 | − | 0.748635i | −0.564840 | − | 0.825201i | \(-0.691062\pi\) |
0.997065 | + | 0.0765655i | \(0.0243954\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −30.5266 | − | 52.8736i | −1.05264 | − | 1.82323i | ||||
\(842\) | 2.50537 | − | 1.44648i | 0.0863409 | − | 0.0498489i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −7.01319 | + | 12.1472i | −0.241404 | + | 0.418124i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.50641i | 0.189203i | ||||||||
\(848\) | −2.12409 | − | 1.22635i | −0.0729417 | − | 0.0421129i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 5.37562 | + | 9.31084i | 0.184274 | + | 0.319171i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 9.41758 | + | 5.43724i | 0.322452 | + | 0.186168i | 0.652485 | − | 0.757802i | \(-0.273727\pi\) |
−0.330033 | + | 0.943969i | \(0.607060\pi\) | |||||||
\(854\) | −2.06558 | −0.0706827 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −25.0369 | −0.855745 | ||||||||
\(857\) | 16.1032 | + | 9.29721i | 0.550076 | + | 0.317587i | 0.749153 | − | 0.662397i | \(-0.230461\pi\) |
−0.199077 | + | 0.979984i | \(0.563794\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −2.33246 | − | 4.03994i | −0.0795825 | − | 0.137841i | 0.823487 | − | 0.567335i | \(-0.192025\pi\) |
−0.903070 | + | 0.429494i | \(0.858692\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.59088 | − | 1.49585i | −0.0882459 | − | 0.0509488i | ||||
\(863\) | 28.0594i | 0.955152i | 0.878590 | + | 0.477576i | \(0.158484\pi\) | ||||
−0.878590 | + | 0.477576i | \(0.841516\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 9.82209 | − | 17.0124i | 0.333768 | − | 0.578104i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −14.4002 | + | 8.31399i | −0.488776 | + | 0.282195i | ||||
\(869\) | 0.384851 | + | 0.666581i | 0.0130552 | + | 0.0226122i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.3980 | − | 26.6702i | 0.521743 | − | 0.903685i | ||||
\(872\) | 34.9832i | 1.18468i | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 15.8168 | 0.535012 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −30.0236 | + | 17.3342i | −1.01383 | + | 0.585333i | −0.912310 | − | 0.409501i | \(-0.865703\pi\) |
−0.101516 | + | 0.994834i | \(0.532369\pi\) | |||||||
\(878\) | 9.68297 | − | 5.59046i | 0.326784 | − | 0.188669i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 5.29854 | 0.178512 | 0.0892561 | − | 0.996009i | \(-0.471551\pi\) | ||||
0.0892561 | + | 0.996009i | \(0.471551\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 10.3025i | − | 0.346706i | −0.984860 | − | 0.173353i | \(-0.944540\pi\) | ||
0.984860 | − | 0.173353i | \(-0.0554602\pi\) | |||||||
\(884\) | 10.4465 | − | 18.0938i | 0.351353 | − | 0.608561i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.00415 | − | 5.20334i | −0.100926 | − | 0.174810i | ||||
\(887\) | 35.8971 | − | 20.7252i | 1.20531 | − | 0.695885i | 0.243577 | − | 0.969882i | \(-0.421679\pi\) |
0.961731 | + | 0.273997i | \(0.0883458\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.56163 | − | 2.70482i | 0.0523753 | − | 0.0907167i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 15.3338i | 0.513413i | ||||||||
\(893\) | 28.1528 | + | 16.2541i | 0.942099 | + | 0.543921i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −8.23445 | − | 14.2625i | −0.275094 | − | 0.476476i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −11.3220 | − | 6.53674i | −0.377819 | − | 0.218134i | ||||
\(899\) | −66.0554 | −2.20307 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.05767 | −0.101866 | ||||||||
\(902\) | 1.94784 | + | 1.12458i | 0.0648559 | + | 0.0374446i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −21.1378 | − | 36.6117i | −0.703032 | − | 1.21769i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.5424 | − | 8.39606i | −0.482873 | − | 0.278787i | 0.238740 | − | 0.971083i | \(-0.423266\pi\) |
−0.721613 | + | 0.692297i | \(0.756599\pi\) | |||||||
\(908\) | − | 4.47116i | − | 0.148381i | ||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 18.6768 | − | 32.3491i | 0.618789 | − | 1.07177i | −0.370918 | − | 0.928666i | \(-0.620957\pi\) |
0.989707 | − | 0.143109i | \(-0.0457098\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.91636 | + | 5.72522i | −0.328184 | + | 0.189477i | ||||
\(914\) | 4.01150 | + | 6.94812i | 0.132689 | + | 0.229823i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.13060 | − | 3.69031i | 0.0703970 | − | 0.121931i | ||||
\(917\) | − | 8.56804i | − | 0.282942i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −37.1316 | −1.22486 | −0.612429 | − | 0.790526i | \(-0.709807\pi\) | ||||
−0.612429 | + | 0.790526i | \(0.709807\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 11.9394 | − | 6.89324i | 0.393205 | − | 0.227017i | ||||
\(923\) | 52.1003 | − | 30.0801i | 1.71490 | − | 0.990098i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 19.4135 | 0.637967 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | − | 51.5098i | − | 1.69089i | ||||||
\(929\) | 23.9977 | − | 41.5653i | 0.787340 | − | 1.36371i | −0.140251 | − | 0.990116i | \(-0.544791\pi\) |
0.927591 | − | 0.373597i | \(-0.121876\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.5905 | + | 20.0753i | 0.379862 | + | 0.657941i | ||||
\(932\) | 9.01115 | − | 5.20259i | 0.295170 | − | 0.170417i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −7.82831 | + | 13.5590i | −0.256150 | + | 0.443665i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 22.0079i | − | 0.718967i | −0.933151 | − | 0.359483i | \(-0.882953\pi\) | ||
0.933151 | − | 0.359483i | \(-0.117047\pi\) | |||||||
\(938\) | −4.66195 | − | 2.69158i | −0.152218 | − | 0.0878832i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 20.2921 | + | 35.1470i | 0.661504 | + | 1.14576i | 0.980220 | + | 0.197909i | \(0.0634150\pi\) |
−0.318716 | + | 0.947850i | \(0.603252\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.53946 | − | 4.35291i | −0.245518 | − | 0.141750i | ||||
\(944\) | −2.45269 | −0.0798283 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.720331 | 0.0234200 | ||||||||
\(947\) | −26.1817 | − | 15.1160i | −0.850790 | − | 0.491204i | 0.0101273 | − | 0.999949i | \(-0.496776\pi\) |
−0.860917 | + | 0.508745i | \(0.830110\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.00000 | − | 6.92820i | −0.129845 | − | 0.224899i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −6.94420 | − | 4.00924i | −0.225063 | − | 0.129940i | ||||
\(953\) | − | 2.50811i | − | 0.0812455i | −0.999175 | − | 0.0406227i | \(-0.987066\pi\) | ||
0.999175 | − | 0.0406227i | \(-0.0129342\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −6.79439 | + | 11.7682i | −0.219746 | + | 0.380612i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 2.59088 | − | 1.49585i | 0.0837077 | − | 0.0483286i | ||||
\(959\) | 7.28402 | + | 12.6163i | 0.235213 | + | 0.407401i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.72635 | + | 15.1145i | −0.281495 | + | 0.487564i | ||||
\(962\) | − | 4.85601i | − | 0.156564i | ||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −44.1025 | −1.42045 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 18.8386 | − | 10.8765i | 0.605808 | − | 0.349763i | −0.165515 | − | 0.986207i | \(-0.552929\pi\) |
0.771323 | + | 0.636444i | \(0.219595\pi\) | |||||||
\(968\) | −7.01552 | + | 4.05042i | −0.225488 | + | 0.130185i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −22.7512 | −0.730122 | −0.365061 | − | 0.930984i | \(-0.618952\pi\) | ||||
−0.365061 | + | 0.930984i | \(0.618952\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.4241i | 0.366238i | ||||||||
\(974\) | 6.86920 | − | 11.8978i | 0.220103 | − | 0.381230i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.71090 | + | 4.69541i | 0.0867737 | + | 0.150296i | ||||
\(977\) | 34.0156 | − | 19.6389i | 1.08825 | − | 0.628304i | 0.155143 | − | 0.987892i | \(-0.450416\pi\) |
0.933111 | + | 0.359588i | \(0.117083\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −4.00924 | + | 6.94420i | −0.128136 | + | 0.221938i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | − | 8.45269i | − | 0.269736i | ||||||
\(983\) | 29.2629 | + | 16.8949i | 0.933341 | + | 0.538865i | 0.887867 | − | 0.460101i | \(-0.152187\pi\) |
0.0454743 | + | 0.998966i | \(0.485520\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −7.25405 | − | 12.5644i | −0.231016 | − | 0.400132i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 31.6329 | + | 18.2633i | 1.00638 | + | 0.581033i | ||||
\(989\) | −2.78817 | −0.0886587 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.7983 | −0.755979 | −0.377990 | − | 0.925810i | \(-0.623384\pi\) | ||||
−0.377990 | + | 0.925810i | \(0.623384\pi\) | |||||||
\(992\) | −32.7213 | − | 18.8916i | −1.03890 | − | 0.599810i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −5.25801 | − | 9.10713i | −0.166774 | − | 0.288861i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 44.7549 | + | 25.8392i | 1.41740 | + | 0.818337i | 0.996070 | − | 0.0885702i | \(-0.0282298\pi\) |
0.421331 | + | 0.906907i | \(0.361563\pi\) | |||||||
\(998\) | − | 14.2175i | − | 0.450046i | ||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
45.2.e.b.16.2 | ✓ | 6 | 15.2 | even | 4 | ||
45.2.e.b.31.2 | yes | 6 | 45.32 | even | 12 | ||
135.2.e.b.46.2 | 6 | 5.2 | odd | 4 | |||
135.2.e.b.91.2 | 6 | 45.22 | odd | 12 | |||
225.2.e.b.76.2 | 6 | 45.23 | even | 12 | |||
225.2.e.b.151.2 | 6 | 15.8 | even | 4 | |||
225.2.k.b.49.3 | 12 | 9.5 | odd | 6 | |||
225.2.k.b.49.4 | 12 | 45.14 | odd | 6 | |||
225.2.k.b.124.3 | 12 | 15.14 | odd | 2 | |||
225.2.k.b.124.4 | 12 | 3.2 | odd | 2 | |||
405.2.a.i.1.2 | 3 | 45.7 | odd | 12 | |||
405.2.a.j.1.2 | 3 | 45.2 | even | 12 | |||
675.2.e.b.226.2 | 6 | 45.13 | odd | 12 | |||
675.2.e.b.451.2 | 6 | 5.3 | odd | 4 | |||
675.2.k.b.199.3 | 12 | 45.4 | even | 6 | inner | ||
675.2.k.b.199.4 | 12 | 9.4 | even | 3 | inner | ||
675.2.k.b.424.3 | 12 | 1.1 | even | 1 | trivial | ||
675.2.k.b.424.4 | 12 | 5.4 | even | 2 | inner | ||
720.2.q.i.241.2 | 6 | 60.47 | odd | 4 | |||
720.2.q.i.481.2 | 6 | 180.167 | odd | 12 | |||
2025.2.a.n.1.2 | 3 | 45.38 | even | 12 | |||
2025.2.a.o.1.2 | 3 | 45.43 | odd | 12 | |||
2025.2.b.l.649.3 | 6 | 9.2 | odd | 6 | |||
2025.2.b.l.649.4 | 6 | 45.29 | odd | 6 | |||
2025.2.b.m.649.3 | 6 | 45.34 | even | 6 | |||
2025.2.b.m.649.4 | 6 | 9.7 | even | 3 | |||
2160.2.q.k.721.2 | 6 | 20.7 | even | 4 | |||
2160.2.q.k.1441.2 | 6 | 180.67 | even | 12 | |||
6480.2.a.bs.1.2 | 3 | 180.7 | even | 12 | |||
6480.2.a.bv.1.2 | 3 | 180.47 | odd | 12 |