Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,3,Mod(19,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.m (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: | \(12.0163796583\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 21) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 325.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.325 |
Dual form | 441.3.m.g.19.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.50000 | + | 2.59808i | 0.750000 | + | 1.29904i | 0.947822 | + | 0.318800i | \(0.103280\pi\) |
−0.197822 | + | 0.980238i | \(0.563387\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.50000 | + | 4.33013i | −0.625000 | + | 1.08253i | ||||
\(5\) | 4.50000 | − | 2.59808i | 0.900000 | − | 0.519615i | 0.0227998 | − | 0.999740i | \(-0.492742\pi\) |
0.877200 | + | 0.480125i | \(0.159409\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −3.00000 | −0.375000 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 13.5000 | + | 7.79423i | 1.35000 | + | 0.779423i | ||||
\(11\) | 7.50000 | − | 12.9904i | 0.681818 | − | 1.18094i | −0.292607 | − | 0.956233i | \(-0.594523\pi\) |
0.974425 | − | 0.224711i | \(-0.0721438\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 13.8564i | 1.06588i | 0.846154 | + | 0.532939i | \(0.178912\pi\) | ||||
−0.846154 | + | 0.532939i | \(0.821088\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 5.50000 | + | 9.52628i | 0.343750 | + | 0.595392i | ||||
\(17\) | 9.00000 | + | 5.19615i | 0.529412 | + | 0.305656i | 0.740777 | − | 0.671751i | \(-0.234458\pi\) |
−0.211365 | + | 0.977407i | \(0.567791\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 9.00000 | − | 5.19615i | 0.473684 | − | 0.273482i | −0.244096 | − | 0.969751i | \(-0.578491\pi\) |
0.717781 | + | 0.696269i | \(0.245158\pi\) | |||||||
\(20\) | 25.9808i | 1.29904i | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 45.0000 | 2.04545 | ||||||||
\(23\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | − | 1.73205i | 0.0400000 | − | 0.0692820i | ||||
\(26\) | −36.0000 | + | 20.7846i | −1.38462 | + | 0.799408i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 9.00000 | 0.310345 | 0.155172 | − | 0.987887i | \(-0.450407\pi\) | ||||
0.155172 | + | 0.987887i | \(0.450407\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 10.5000 | + | 6.06218i | 0.338710 | + | 0.195554i | 0.659701 | − | 0.751528i | \(-0.270683\pi\) |
−0.320992 | + | 0.947082i | \(0.604016\pi\) | |||||||
\(32\) | −22.5000 | + | 38.9711i | −0.703125 | + | 1.21785i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 31.1769i | 0.916968i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.00000 | − | 8.66025i | −0.135135 | − | 0.234061i | 0.790514 | − | 0.612444i | \(-0.209814\pi\) |
−0.925649 | + | 0.378383i | \(0.876480\pi\) | |||||||
\(38\) | 27.0000 | + | 15.5885i | 0.710526 | + | 0.410223i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −13.5000 | + | 7.79423i | −0.337500 | + | 0.194856i | ||||
\(41\) | − | 10.3923i | − | 0.253471i | −0.991937 | − | 0.126735i | \(-0.959550\pi\) | ||
0.991937 | − | 0.126735i | \(-0.0404499\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −74.0000 | −1.72093 | −0.860465 | − | 0.509509i | \(-0.829827\pi\) | ||||
−0.860465 | + | 0.509509i | \(0.829827\pi\) | |||||||
\(44\) | 37.5000 | + | 64.9519i | 0.852273 | + | 1.47618i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 6.00000 | 0.120000 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −60.0000 | − | 34.6410i | −1.15385 | − | 0.666173i | ||||
\(53\) | 16.5000 | − | 28.5788i | 0.311321 | − | 0.539223i | −0.667328 | − | 0.744764i | \(-0.732562\pi\) |
0.978649 | + | 0.205541i | \(0.0658953\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 77.9423i | − | 1.41713i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 13.5000 | + | 23.3827i | 0.232759 | + | 0.403150i | ||||
\(59\) | 13.5000 | + | 7.79423i | 0.228814 | + | 0.132106i | 0.610025 | − | 0.792382i | \(-0.291160\pi\) |
−0.381211 | + | 0.924488i | \(0.624493\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −78.0000 | + | 45.0333i | −1.27869 | + | 0.738251i | −0.976607 | − | 0.215031i | \(-0.931015\pi\) |
−0.302081 | + | 0.953282i | \(0.597681\pi\) | |||||||
\(62\) | 36.3731i | 0.586662i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −91.0000 | −1.42188 | ||||||||
\(65\) | 36.0000 | + | 62.3538i | 0.553846 | + | 0.959290i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 38.0000 | − | 65.8179i | 0.567164 | − | 0.982357i | −0.429681 | − | 0.902981i | \(-0.641374\pi\) |
0.996845 | − | 0.0793762i | \(-0.0252928\pi\) | |||||||
\(68\) | −45.0000 | + | 25.9808i | −0.661765 | + | 0.382070i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −84.0000 | −1.18310 | −0.591549 | − | 0.806269i | \(-0.701483\pi\) | ||||
−0.591549 | + | 0.806269i | \(0.701483\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 54.0000 | + | 31.1769i | 0.739726 | + | 0.427081i | 0.821970 | − | 0.569531i | \(-0.192875\pi\) |
−0.0822437 | + | 0.996612i | \(0.526209\pi\) | |||||||
\(74\) | 15.0000 | − | 25.9808i | 0.202703 | − | 0.351091i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 51.9615i | 0.683704i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 21.5000 | + | 37.2391i | 0.272152 | + | 0.471381i | 0.969413 | − | 0.245437i | \(-0.0789313\pi\) |
−0.697261 | + | 0.716818i | \(0.745598\pi\) | |||||||
\(80\) | 49.5000 | + | 28.5788i | 0.618750 | + | 0.357235i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 27.0000 | − | 15.5885i | 0.329268 | − | 0.190103i | ||||
\(83\) | − | 119.512i | − | 1.43990i | −0.694027 | − | 0.719949i | \(-0.744165\pi\) | ||
0.694027 | − | 0.719949i | \(-0.255835\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 54.0000 | 0.635294 | ||||||||
\(86\) | −111.000 | − | 192.258i | −1.29070 | − | 2.23555i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −22.5000 | + | 38.9711i | −0.255682 | + | 0.442854i | ||||
\(89\) | −63.0000 | + | 36.3731i | −0.707865 | + | 0.408686i | −0.810270 | − | 0.586057i | \(-0.800680\pi\) |
0.102405 | + | 0.994743i | \(0.467346\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 27.0000 | − | 46.7654i | 0.284211 | − | 0.492267i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 185.329i | − | 1.91061i | −0.295618 | − | 0.955306i | \(-0.595525\pi\) | ||
0.295618 | − | 0.955306i | \(-0.404475\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.00000 | + | 8.66025i | 0.0500000 | + | 0.0866025i | ||||
\(101\) | −126.000 | − | 72.7461i | −1.24752 | − | 0.720259i | −0.276910 | − | 0.960896i | \(-0.589310\pi\) |
−0.970615 | + | 0.240637i | \(0.922644\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 60.0000 | − | 34.6410i | 0.582524 | − | 0.336321i | −0.179612 | − | 0.983738i | \(-0.557484\pi\) |
0.762136 | + | 0.647417i | \(0.224151\pi\) | |||||||
\(104\) | − | 41.5692i | − | 0.399704i | ||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 99.0000 | 0.933962 | ||||||||
\(107\) | 46.5000 | + | 80.5404i | 0.434579 | + | 0.752714i | 0.997261 | − | 0.0739599i | \(-0.0235637\pi\) |
−0.562682 | + | 0.826674i | \(0.690230\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.00000 | − | 6.92820i | 0.0366972 | − | 0.0635615i | −0.847093 | − | 0.531444i | \(-0.821650\pi\) |
0.883791 | + | 0.467882i | \(0.154983\pi\) | |||||||
\(110\) | 202.500 | − | 116.913i | 1.84091 | − | 1.06285i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −42.0000 | −0.371681 | −0.185841 | − | 0.982580i | \(-0.559501\pi\) | ||||
−0.185841 | + | 0.982580i | \(0.559501\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −22.5000 | + | 38.9711i | −0.193966 | + | 0.335958i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 46.7654i | 0.396317i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −52.0000 | − | 90.0666i | −0.429752 | − | 0.744352i | ||||
\(122\) | −234.000 | − | 135.100i | −1.91803 | − | 1.10738i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −52.5000 | + | 30.3109i | −0.423387 | + | 0.244443i | ||||
\(125\) | 119.512i | 0.956092i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 35.0000 | 0.275591 | 0.137795 | − | 0.990461i | \(-0.455998\pi\) | ||||
0.137795 | + | 0.990461i | \(0.455998\pi\) | |||||||
\(128\) | −46.5000 | − | 80.5404i | −0.363281 | − | 0.629222i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −108.000 | + | 187.061i | −0.830769 | + | 1.43893i | ||||
\(131\) | 148.500 | − | 85.7365i | 1.13359 | − | 0.654477i | 0.188753 | − | 0.982025i | \(-0.439555\pi\) |
0.944835 | + | 0.327547i | \(0.106222\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 228.000 | 1.70149 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −27.0000 | − | 15.5885i | −0.198529 | − | 0.114621i | ||||
\(137\) | −48.0000 | + | 83.1384i | −0.350365 | + | 0.606850i | −0.986313 | − | 0.164882i | \(-0.947276\pi\) |
0.635948 | + | 0.771732i | \(0.280609\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 183.597i | 1.32084i | 0.750894 | + | 0.660422i | \(0.229623\pi\) | ||||
−0.750894 | + | 0.660422i | \(0.770377\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −126.000 | − | 218.238i | −0.887324 | − | 1.53689i | ||||
\(143\) | 180.000 | + | 103.923i | 1.25874 | + | 0.726735i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 40.5000 | − | 23.3827i | 0.279310 | − | 0.161260i | ||||
\(146\) | 187.061i | 1.28124i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 50.0000 | 0.337838 | ||||||||
\(149\) | −93.0000 | − | 161.081i | −0.624161 | − | 1.08108i | −0.988702 | − | 0.149892i | \(-0.952108\pi\) |
0.364541 | − | 0.931187i | \(-0.381226\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −39.5000 | + | 68.4160i | −0.261589 | + | 0.453086i | −0.966664 | − | 0.256047i | \(-0.917580\pi\) |
0.705075 | + | 0.709133i | \(0.250913\pi\) | |||||||
\(152\) | −27.0000 | + | 15.5885i | −0.177632 | + | 0.102556i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 63.0000 | 0.406452 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 18.0000 | + | 10.3923i | 0.114650 | + | 0.0661930i | 0.556228 | − | 0.831030i | \(-0.312248\pi\) |
−0.441579 | + | 0.897223i | \(0.645581\pi\) | |||||||
\(158\) | −64.5000 | + | 111.717i | −0.408228 | + | 0.707071i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 233.827i | 1.46142i | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 104.000 | + | 180.133i | 0.638037 | + | 1.10511i | 0.985863 | + | 0.167553i | \(0.0535866\pi\) |
−0.347826 | + | 0.937559i | \(0.613080\pi\) | |||||||
\(164\) | 45.0000 | + | 25.9808i | 0.274390 | + | 0.158419i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 310.500 | − | 179.267i | 1.87048 | − | 1.07992i | ||||
\(167\) | − | 249.415i | − | 1.49350i | −0.665102 | − | 0.746752i | \(-0.731612\pi\) | ||
0.665102 | − | 0.746752i | \(-0.268388\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −23.0000 | −0.136095 | ||||||||
\(170\) | 81.0000 | + | 140.296i | 0.476471 | + | 0.825271i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 185.000 | − | 320.429i | 1.07558 | − | 1.86296i | ||||
\(173\) | −198.000 | + | 114.315i | −1.14451 | + | 0.660782i | −0.947543 | − | 0.319628i | \(-0.896442\pi\) |
−0.196966 | + | 0.980410i | \(0.563109\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 165.000 | 0.937500 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −189.000 | − | 109.119i | −1.06180 | − | 0.613029i | ||||
\(179\) | 45.0000 | − | 77.9423i | 0.251397 | − | 0.435432i | −0.712514 | − | 0.701658i | \(-0.752443\pi\) |
0.963911 | + | 0.266226i | \(0.0857768\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.3923i | 0.0574160i | 0.999588 | + | 0.0287080i | \(0.00913930\pi\) | ||||
−0.999588 | + | 0.0287080i | \(0.990861\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −45.0000 | − | 25.9808i | −0.243243 | − | 0.140437i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 135.000 | − | 77.9423i | 0.721925 | − | 0.416804i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 162.000 | 0.852632 | ||||||||
\(191\) | −156.000 | − | 270.200i | −0.816754 | − | 1.41466i | −0.908062 | − | 0.418837i | \(-0.862438\pi\) |
0.0913077 | − | 0.995823i | \(-0.470895\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 92.5000 | − | 160.215i | 0.479275 | − | 0.830128i | −0.520443 | − | 0.853896i | \(-0.674233\pi\) |
0.999717 | + | 0.0237685i | \(0.00756646\pi\) | |||||||
\(194\) | 481.500 | − | 277.994i | 2.48196 | − | 1.43296i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −330.000 | −1.67513 | −0.837563 | − | 0.546340i | \(-0.816021\pi\) | ||||
−0.837563 | + | 0.546340i | \(0.816021\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.00000 | − | 3.46410i | −0.0301508 | − | 0.0174075i | 0.484849 | − | 0.874598i | \(-0.338875\pi\) |
−0.515000 | + | 0.857190i | \(0.672208\pi\) | |||||||
\(200\) | −3.00000 | + | 5.19615i | −0.0150000 | + | 0.0259808i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | − | 436.477i | − | 2.16078i | ||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −27.0000 | − | 46.7654i | −0.131707 | − | 0.228124i | ||||
\(206\) | 180.000 | + | 103.923i | 0.873786 | + | 0.504481i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −132.000 | + | 76.2102i | −0.634615 | + | 0.366395i | ||||
\(209\) | − | 155.885i | − | 0.745859i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −248.000 | −1.17536 | −0.587678 | − | 0.809095i | \(-0.699958\pi\) | ||||
−0.587678 | + | 0.809095i | \(0.699958\pi\) | |||||||
\(212\) | 82.5000 | + | 142.894i | 0.389151 | + | 0.674029i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −139.500 | + | 241.621i | −0.651869 | + | 1.12907i | ||||
\(215\) | −333.000 | + | 192.258i | −1.54884 | + | 0.894222i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 24.0000 | 0.110092 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 337.500 | + | 194.856i | 1.53409 | + | 0.885708i | ||||
\(221\) | −72.0000 | + | 124.708i | −0.325792 | + | 0.564288i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 192.258i | 0.862142i | 0.902318 | + | 0.431071i | \(0.141864\pi\) | ||||
−0.902318 | + | 0.431071i | \(0.858136\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −63.0000 | − | 109.119i | −0.278761 | − | 0.482828i | ||||
\(227\) | −76.5000 | − | 44.1673i | −0.337004 | − | 0.194570i | 0.321942 | − | 0.946759i | \(-0.395664\pi\) |
−0.658947 | + | 0.752190i | \(0.728998\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −285.000 | + | 164.545i | −1.24454 | + | 0.718536i | −0.970015 | − | 0.243043i | \(-0.921854\pi\) |
−0.274526 | + | 0.961580i | \(0.588521\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −27.0000 | −0.116379 | ||||||||
\(233\) | 135.000 | + | 233.827i | 0.579399 | + | 1.00355i | 0.995548 | + | 0.0942524i | \(0.0300461\pi\) |
−0.416149 | + | 0.909296i | \(0.636621\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −67.5000 | + | 38.9711i | −0.286017 | + | 0.165132i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 228.000 | 0.953975 | 0.476987 | − | 0.878910i | \(-0.341729\pi\) | ||||
0.476987 | + | 0.878910i | \(0.341729\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −385.500 | − | 222.569i | −1.59959 | − | 0.923521i | −0.991567 | − | 0.129598i | \(-0.958631\pi\) |
−0.608018 | − | 0.793923i | \(-0.708035\pi\) | |||||||
\(242\) | 156.000 | − | 270.200i | 0.644628 | − | 1.11653i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 450.333i | − | 1.84563i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 72.0000 | + | 124.708i | 0.291498 | + | 0.504889i | ||||
\(248\) | −31.5000 | − | 18.1865i | −0.127016 | − | 0.0733328i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −310.500 | + | 179.267i | −1.24200 | + | 0.717069i | ||||
\(251\) | − | 5.19615i | − | 0.0207018i | −0.999946 | − | 0.0103509i | \(-0.996705\pi\) | ||
0.999946 | − | 0.0103509i | \(-0.00329485\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 52.5000 | + | 90.9327i | 0.206693 | + | 0.358003i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −42.5000 | + | 73.6122i | −0.166016 | + | 0.287547i | ||||
\(257\) | 99.0000 | − | 57.1577i | 0.385214 | − | 0.222403i | −0.294870 | − | 0.955537i | \(-0.595276\pi\) |
0.680084 | + | 0.733134i | \(0.261943\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −360.000 | −1.38462 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 445.500 | + | 257.210i | 1.70038 | + | 0.981716i | ||||
\(263\) | 93.0000 | − | 161.081i | 0.353612 | − | 0.612474i | −0.633267 | − | 0.773933i | \(-0.718287\pi\) |
0.986879 | + | 0.161459i | \(0.0516199\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 171.473i | − | 0.647068i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 190.000 | + | 329.090i | 0.708955 | + | 1.22795i | ||||
\(269\) | −292.500 | − | 168.875i | −1.08736 | − | 0.627788i | −0.154488 | − | 0.987995i | \(-0.549373\pi\) |
−0.932873 | + | 0.360207i | \(0.882706\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −79.5000 | + | 45.8993i | −0.293358 | + | 0.169370i | −0.639455 | − | 0.768828i | \(-0.720840\pi\) |
0.346097 | + | 0.938199i | \(0.387507\pi\) | |||||||
\(272\) | 114.315i | 0.420277i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −288.000 | −1.05109 | ||||||||
\(275\) | −15.0000 | − | 25.9808i | −0.0545455 | − | 0.0944755i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −190.000 | + | 329.090i | −0.685921 | + | 1.18805i | 0.287226 | + | 0.957863i | \(0.407267\pi\) |
−0.973147 | + | 0.230186i | \(0.926066\pi\) | |||||||
\(278\) | −477.000 | + | 275.396i | −1.71583 | + | 0.990633i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −300.000 | −1.06762 | −0.533808 | − | 0.845606i | \(-0.679239\pi\) | ||||
−0.533808 | + | 0.845606i | \(0.679239\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −177.000 | − | 102.191i | −0.625442 | − | 0.361099i | 0.153543 | − | 0.988142i | \(-0.450932\pi\) |
−0.778985 | + | 0.627043i | \(0.784265\pi\) | |||||||
\(284\) | 210.000 | − | 363.731i | 0.739437 | − | 1.28074i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 623.538i | 2.18020i | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −90.5000 | − | 156.751i | −0.313149 | − | 0.542390i | ||||
\(290\) | 121.500 | + | 70.1481i | 0.418966 | + | 0.241890i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −270.000 | + | 155.885i | −0.924658 | + | 0.533851i | ||||
\(293\) | 545.596i | 1.86210i | 0.364889 | + | 0.931051i | \(0.381107\pi\) | ||||
−0.364889 | + | 0.931051i | \(0.618893\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 81.0000 | 0.274576 | ||||||||
\(296\) | 15.0000 | + | 25.9808i | 0.0506757 | + | 0.0877728i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 279.000 | − | 483.242i | 0.936242 | − | 1.62162i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −237.000 | −0.784768 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 99.0000 | + | 57.1577i | 0.325658 | + | 0.188019i | ||||
\(305\) | −234.000 | + | 405.300i | −0.767213 | + | 1.32885i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 173.205i | − | 0.564186i | −0.959387 | − | 0.282093i | \(-0.908971\pi\) | ||
0.959387 | − | 0.282093i | \(-0.0910287\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 94.5000 | + | 163.679i | 0.304839 | + | 0.527996i | ||||
\(311\) | −153.000 | − | 88.3346i | −0.491961 | − | 0.284034i | 0.233426 | − | 0.972374i | \(-0.425006\pi\) |
−0.725388 | + | 0.688340i | \(0.758340\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 184.500 | − | 106.521i | 0.589457 | − | 0.340323i | −0.175426 | − | 0.984493i | \(-0.556130\pi\) |
0.764883 | + | 0.644170i | \(0.222797\pi\) | |||||||
\(314\) | 62.3538i | 0.198579i | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −215.000 | −0.680380 | ||||||||
\(317\) | 58.5000 | + | 101.325i | 0.184543 | + | 0.319637i | 0.943422 | − | 0.331594i | \(-0.107586\pi\) |
−0.758880 | + | 0.651231i | \(0.774253\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 67.5000 | − | 116.913i | 0.211599 | − | 0.366500i | ||||
\(320\) | −409.500 | + | 236.425i | −1.27969 | + | 0.738828i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 108.000 | 0.334365 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 24.0000 | + | 13.8564i | 0.0738462 | + | 0.0426351i | ||||
\(326\) | −312.000 | + | 540.400i | −0.957055 | + | 1.65767i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 31.1769i | 0.0950516i | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −20.0000 | − | 34.6410i | −0.0604230 | − | 0.104656i | 0.834232 | − | 0.551414i | \(-0.185912\pi\) |
−0.894655 | + | 0.446759i | \(0.852578\pi\) | |||||||
\(332\) | 517.500 | + | 298.779i | 1.55873 | + | 0.899936i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 648.000 | − | 374.123i | 1.94012 | − | 1.12013i | ||||
\(335\) | − | 394.908i | − | 1.17883i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 91.0000 | 0.270030 | 0.135015 | − | 0.990844i | \(-0.456892\pi\) | ||||
0.135015 | + | 0.990844i | \(0.456892\pi\) | |||||||
\(338\) | −34.5000 | − | 59.7558i | −0.102071 | − | 0.176792i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −135.000 | + | 233.827i | −0.397059 | + | 0.687726i | ||||
\(341\) | 157.500 | − | 90.9327i | 0.461877 | − | 0.266665i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 222.000 | 0.645349 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −594.000 | − | 342.946i | −1.71676 | − | 0.991174i | ||||
\(347\) | 105.000 | − | 181.865i | 0.302594 | − | 0.524108i | −0.674129 | − | 0.738614i | \(-0.735481\pi\) |
0.976723 | + | 0.214506i | \(0.0688142\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 304.841i | 0.873470i | 0.899590 | + | 0.436735i | \(0.143865\pi\) | ||||
−0.899590 | + | 0.436735i | \(0.856135\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 337.500 | + | 584.567i | 0.958807 | + | 1.66070i | ||||
\(353\) | 342.000 | + | 197.454i | 0.968839 | + | 0.559359i | 0.898882 | − | 0.438191i | \(-0.144381\pi\) |
0.0699566 | + | 0.997550i | \(0.477714\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −378.000 | + | 218.238i | −1.06479 | + | 0.614756i | ||||
\(356\) | − | 363.731i | − | 1.02172i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 270.000 | 0.754190 | ||||||||
\(359\) | 246.000 | + | 426.084i | 0.685237 | + | 1.18686i | 0.973362 | + | 0.229272i | \(0.0736346\pi\) |
−0.288126 | + | 0.957593i | \(0.593032\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −126.500 | + | 219.104i | −0.350416 | + | 0.606937i | ||||
\(362\) | −27.0000 | + | 15.5885i | −0.0745856 | + | 0.0430620i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 324.000 | 0.887671 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 283.500 | + | 163.679i | 0.772480 | + | 0.445991i | 0.833758 | − | 0.552129i | \(-0.186185\pi\) |
−0.0612789 | + | 0.998121i | \(0.519518\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 155.885i | − | 0.421310i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −85.0000 | − | 147.224i | −0.227882 | − | 0.394703i | 0.729298 | − | 0.684196i | \(-0.239847\pi\) |
−0.957180 | + | 0.289493i | \(0.906513\pi\) | |||||||
\(374\) | 405.000 | + | 233.827i | 1.08289 | + | 0.625206i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 124.708i | 0.330790i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 82.0000 | 0.216359 | 0.108179 | − | 0.994131i | \(-0.465498\pi\) | ||||
0.108179 | + | 0.994131i | \(0.465498\pi\) | |||||||
\(380\) | 135.000 | + | 233.827i | 0.355263 | + | 0.615334i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 468.000 | − | 810.600i | 1.22513 | − | 2.12199i | ||||
\(383\) | 189.000 | − | 109.119i | 0.493473 | − | 0.284907i | −0.232541 | − | 0.972587i | \(-0.574704\pi\) |
0.726014 | + | 0.687680i | \(0.241371\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 555.000 | 1.43782 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 802.500 | + | 463.324i | 2.06830 | + | 1.19413i | ||||
\(389\) | 153.000 | − | 265.004i | 0.393316 | − | 0.681244i | −0.599568 | − | 0.800323i | \(-0.704661\pi\) |
0.992885 | + | 0.119080i | \(0.0379944\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −495.000 | − | 857.365i | −1.25635 | − | 2.17605i | ||||
\(395\) | 193.500 | + | 111.717i | 0.489873 | + | 0.282829i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 222.000 | − | 128.172i | 0.559194 | − | 0.322851i | −0.193628 | − | 0.981075i | \(-0.562025\pi\) |
0.752822 | + | 0.658224i | \(0.228692\pi\) | |||||||
\(398\) | − | 20.7846i | − | 0.0522226i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 22.0000 | 0.0550000 | ||||||||
\(401\) | 66.0000 | + | 114.315i | 0.164589 | + | 0.285076i | 0.936509 | − | 0.350643i | \(-0.114037\pi\) |
−0.771921 | + | 0.635719i | \(0.780704\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −84.0000 | + | 145.492i | −0.208437 | + | 0.361023i | ||||
\(404\) | 630.000 | − | 363.731i | 1.55941 | − | 0.900323i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −150.000 | −0.368550 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 313.500 | + | 180.999i | 0.766504 | + | 0.442541i | 0.831626 | − | 0.555336i | \(-0.187410\pi\) |
−0.0651223 | + | 0.997877i | \(0.520744\pi\) | |||||||
\(410\) | 81.0000 | − | 140.296i | 0.197561 | − | 0.342186i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 346.410i | 0.840801i | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −310.500 | − | 537.802i | −0.748193 | − | 1.29591i | ||||
\(416\) | −540.000 | − | 311.769i | −1.29808 | − | 0.749445i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 405.000 | − | 233.827i | 0.968900 | − | 0.559394i | ||||
\(419\) | 644.323i | 1.53776i | 0.639391 | + | 0.768882i | \(0.279187\pi\) | ||||
−0.639391 | + | 0.768882i | \(0.720813\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 752.000 | 1.78622 | 0.893112 | − | 0.449835i | \(-0.148517\pi\) | ||||
0.893112 | + | 0.449835i | \(0.148517\pi\) | |||||||
\(422\) | −372.000 | − | 644.323i | −0.881517 | − | 1.52683i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −49.5000 | + | 85.7365i | −0.116745 | + | 0.202209i | ||||
\(425\) | 18.0000 | − | 10.3923i | 0.0423529 | − | 0.0244525i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −465.000 | −1.08645 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −999.000 | − | 576.773i | −2.32326 | − | 1.34133i | ||||
\(431\) | 81.0000 | − | 140.296i | 0.187935 | − | 0.325513i | −0.756627 | − | 0.653847i | \(-0.773154\pi\) |
0.944562 | + | 0.328334i | \(0.106487\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 339.482i | 0.784023i | 0.919960 | + | 0.392011i | \(0.128221\pi\) | ||||
−0.919960 | + | 0.392011i | \(0.871779\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 20.0000 | + | 34.6410i | 0.0458716 | + | 0.0794519i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −337.500 | + | 194.856i | −0.768793 | + | 0.443863i | −0.832444 | − | 0.554110i | \(-0.813059\pi\) |
0.0636511 | + | 0.997972i | \(0.479726\pi\) | |||||||
\(440\) | 233.827i | 0.531425i | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −432.000 | −0.977376 | ||||||||
\(443\) | −148.500 | − | 257.210i | −0.335214 | − | 0.580608i | 0.648312 | − | 0.761375i | \(-0.275475\pi\) |
−0.983526 | + | 0.180767i | \(0.942142\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −189.000 | + | 327.358i | −0.424719 | + | 0.735635i | ||||
\(446\) | −499.500 | + | 288.386i | −1.11996 | + | 0.646606i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 492.000 | 1.09577 | 0.547884 | − | 0.836554i | \(-0.315433\pi\) | ||||
0.547884 | + | 0.836554i | \(0.315433\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −135.000 | − | 77.9423i | −0.299335 | − | 0.172821i | ||||
\(452\) | 105.000 | − | 181.865i | 0.232301 | − | 0.402357i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | − | 265.004i | − | 0.583709i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 221.500 | + | 383.649i | 0.484683 | + | 0.839495i | 0.999845 | − | 0.0175975i | \(-0.00560174\pi\) |
−0.515162 | + | 0.857093i | \(0.672268\pi\) | |||||||
\(458\) | −855.000 | − | 493.634i | −1.86681 | − | 1.07780i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 415.692i | 0.901718i | 0.892595 | + | 0.450859i | \(0.148882\pi\) | ||||
−0.892595 | + | 0.450859i | \(0.851118\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −82.0000 | −0.177106 | −0.0885529 | − | 0.996071i | \(-0.528224\pi\) | ||||
−0.0885529 | + | 0.996071i | \(0.528224\pi\) | |||||||
\(464\) | 49.5000 | + | 85.7365i | 0.106681 | + | 0.184777i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −405.000 | + | 701.481i | −0.869099 | + | 1.50532i | ||||
\(467\) | 234.000 | − | 135.100i | 0.501071 | − | 0.289293i | −0.228085 | − | 0.973641i | \(-0.573246\pi\) |
0.729156 | + | 0.684348i | \(0.239913\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −40.5000 | − | 23.3827i | −0.0858051 | − | 0.0495396i | ||||
\(473\) | −555.000 | + | 961.288i | −1.17336 | + | 2.03232i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 20.7846i | − | 0.0437571i | ||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 342.000 | + | 592.361i | 0.715481 | + | 1.23925i | ||||
\(479\) | 297.000 | + | 171.473i | 0.620042 | + | 0.357981i | 0.776885 | − | 0.629642i | \(-0.216798\pi\) |
−0.156844 | + | 0.987623i | \(0.550132\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 120.000 | − | 69.2820i | 0.249480 | − | 0.144037i | ||||
\(482\) | − | 1335.41i | − | 2.77056i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 520.000 | 1.07438 | ||||||||
\(485\) | −481.500 | − | 833.982i | −0.992784 | − | 1.71955i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 158.500 | − | 274.530i | 0.325462 | − | 0.563717i | −0.656144 | − | 0.754636i | \(-0.727814\pi\) |
0.981606 | + | 0.190919i | \(0.0611468\pi\) | |||||||
\(488\) | 234.000 | − | 135.100i | 0.479508 | − | 0.276844i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −27.0000 | −0.0549898 | −0.0274949 | − | 0.999622i | \(-0.508753\pi\) | ||||
−0.0274949 | + | 0.999622i | \(0.508753\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 81.0000 | + | 46.7654i | 0.164300 | + | 0.0948588i | ||||
\(494\) | −216.000 | + | 374.123i | −0.437247 | + | 0.757334i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 133.368i | 0.268887i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 223.000 | + | 386.247i | 0.446894 | + | 0.774043i | 0.998182 | − | 0.0602721i | \(-0.0191969\pi\) |
−0.551288 | + | 0.834315i | \(0.685864\pi\) | |||||||
\(500\) | −517.500 | − | 298.779i | −1.03500 | − | 0.597558i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 13.5000 | − | 7.79423i | 0.0268924 | − | 0.0155264i | ||||
\(503\) | − | 488.438i | − | 0.971050i | −0.874223 | − | 0.485525i | \(-0.838628\pi\) | ||
0.874223 | − | 0.485525i | \(-0.161372\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −756.000 | −1.49703 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −87.5000 | + | 151.554i | −0.172244 | + | 0.298336i | ||||
\(509\) | 85.5000 | − | 49.3634i | 0.167976 | − | 0.0969812i | −0.413655 | − | 0.910434i | \(-0.635748\pi\) |
0.581631 | + | 0.813453i | \(0.302415\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −627.000 | −1.22461 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 297.000 | + | 171.473i | 0.577821 | + | 0.333605i | ||||
\(515\) | 180.000 | − | 311.769i | 0.349515 | − | 0.605377i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −108.000 | − | 187.061i | −0.207692 | − | 0.359734i | ||||
\(521\) | −783.000 | − | 452.065i | −1.50288 | − | 0.867688i | −0.999994 | − | 0.00333410i | \(-0.998939\pi\) |
−0.502885 | − | 0.864354i | \(-0.667728\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 606.000 | − | 349.874i | 1.15870 | − | 0.668976i | 0.207708 | − | 0.978191i | \(-0.433400\pi\) |
0.950992 | + | 0.309215i | \(0.100066\pi\) | |||||||
\(524\) | 857.365i | 1.63619i | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 558.000 | 1.06084 | ||||||||
\(527\) | 63.0000 | + | 109.119i | 0.119545 | + | 0.207057i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 264.500 | − | 458.127i | 0.500000 | − | 0.866025i | ||||
\(530\) | 445.500 | − | 257.210i | 0.840566 | − | 0.485301i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 144.000 | 0.270169 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 418.500 | + | 241.621i | 0.782243 | + | 0.451628i | ||||
\(536\) | −114.000 | + | 197.454i | −0.212687 | + | 0.368384i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 1013.25i | − | 1.88336i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −37.0000 | − | 64.0859i | −0.0683919 | − | 0.118458i | 0.829802 | − | 0.558058i | \(-0.188453\pi\) |
−0.898194 | + | 0.439600i | \(0.855120\pi\) | |||||||
\(542\) | −238.500 | − | 137.698i | −0.440037 | − | 0.254055i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −405.000 | + | 233.827i | −0.744485 | + | 0.429829i | ||||
\(545\) | − | 41.5692i | − | 0.0762738i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −934.000 | −1.70750 | −0.853748 | − | 0.520687i | \(-0.825676\pi\) | ||||
−0.853748 | + | 0.520687i | \(0.825676\pi\) | |||||||
\(548\) | −240.000 | − | 415.692i | −0.437956 | − | 0.758562i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 45.0000 | − | 77.9423i | 0.0818182 | − | 0.141713i | ||||
\(551\) | 81.0000 | − | 46.7654i | 0.147005 | − | 0.0848736i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −1140.00 | −2.05776 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −795.000 | − | 458.993i | −1.42986 | − | 0.825528i | ||||
\(557\) | 421.500 | − | 730.059i | 0.756732 | − | 1.31070i | −0.187776 | − | 0.982212i | \(-0.560128\pi\) |
0.944508 | − | 0.328487i | \(-0.106539\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 1025.37i | − | 1.83430i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −450.000 | − | 779.423i | −0.800712 | − | 1.38687i | ||||
\(563\) | 823.500 | + | 475.448i | 1.46270 | + | 0.844490i | 0.999135 | − | 0.0415731i | \(-0.0132369\pi\) |
0.463564 | + | 0.886063i | \(0.346570\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −189.000 | + | 109.119i | −0.334513 | + | 0.193131i | ||||
\(566\) | − | 613.146i | − | 1.08330i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 252.000 | 0.443662 | ||||||||
\(569\) | 111.000 | + | 192.258i | 0.195079 | + | 0.337887i | 0.946926 | − | 0.321450i | \(-0.104170\pi\) |
−0.751847 | + | 0.659337i | \(0.770837\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −220.000 | + | 381.051i | −0.385289 | + | 0.667340i | −0.991809 | − | 0.127728i | \(-0.959232\pi\) |
0.606520 | + | 0.795068i | \(0.292565\pi\) | |||||||
\(572\) | −900.000 | + | 519.615i | −1.57343 | + | 0.908418i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −568.500 | − | 328.224i | −0.985269 | − | 0.568845i | −0.0814120 | − | 0.996681i | \(-0.525943\pi\) |
−0.903857 | + | 0.427835i | \(0.859276\pi\) | |||||||
\(578\) | 271.500 | − | 470.252i | 0.469723 | − | 0.813584i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 233.827i | 0.403150i | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −247.500 | − | 428.683i | −0.424528 | − | 0.735305i | ||||
\(584\) | −162.000 | − | 93.5307i | −0.277397 | − | 0.160155i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1417.50 | + | 818.394i | −2.41894 | + | 1.39658i | ||||
\(587\) | − | 1054.82i | − | 1.79697i | −0.439008 | − | 0.898483i | \(-0.644670\pi\) | ||
0.439008 | − | 0.898483i | \(-0.355330\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 126.000 | 0.213922 | ||||||||
\(590\) | 121.500 | + | 210.444i | 0.205932 | + | 0.356685i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 55.0000 | − | 95.2628i | 0.0929054 | − | 0.160917i | ||||
\(593\) | 612.000 | − | 353.338i | 1.03204 | − | 0.595849i | 0.114472 | − | 0.993426i | \(-0.463482\pi\) |
0.917569 | + | 0.397578i | \(0.130149\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 930.000 | 1.56040 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 258.000 | − | 446.869i | 0.430718 | − | 0.746025i | −0.566217 | − | 0.824256i | \(-0.691594\pi\) |
0.996935 | + | 0.0782307i | \(0.0249271\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 247.683i | 0.412119i | 0.978540 | + | 0.206059i | \(0.0660640\pi\) | ||||
−0.978540 | + | 0.206059i | \(0.933936\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −197.500 | − | 342.080i | −0.326987 | − | 0.566358i | ||||
\(605\) | −468.000 | − | 270.200i | −0.773554 | − | 0.446611i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 562.500 | − | 324.760i | 0.926689 | − | 0.535024i | 0.0409259 | − | 0.999162i | \(-0.486969\pi\) |
0.885763 | + | 0.464138i | \(0.153636\pi\) | |||||||
\(608\) | 467.654i | 0.769167i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1404.00 | −2.30164 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 446.000 | − | 772.495i | 0.727569 | − | 1.26019i | −0.230338 | − | 0.973111i | \(-0.573983\pi\) |
0.957908 | − | 0.287076i | \(-0.0926834\pi\) | |||||||
\(614\) | 450.000 | − | 259.808i | 0.732899 | − | 0.423139i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1224.00 | 1.98379 | 0.991896 | − | 0.127050i | \(-0.0405510\pi\) | ||||
0.991896 | + | 0.127050i | \(0.0405510\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 348.000 | + | 200.918i | 0.562197 | + | 0.324585i | 0.754027 | − | 0.656844i | \(-0.228109\pi\) |
−0.191830 | + | 0.981428i | \(0.561442\pi\) | |||||||
\(620\) | −157.500 | + | 272.798i | −0.254032 | + | 0.439997i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 530.008i | − | 0.852102i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 335.500 | + | 581.103i | 0.536800 | + | 0.929765i | ||||
\(626\) | 553.500 | + | 319.563i | 0.884185 | + | 0.510485i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −90.0000 | + | 51.9615i | −0.143312 | + | 0.0827413i | ||||
\(629\) | − | 103.923i | − | 0.165219i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1115.00 | 1.76704 | 0.883518 | − | 0.468397i | \(-0.155168\pi\) | ||||
0.883518 | + | 0.468397i | \(0.155168\pi\) | |||||||
\(632\) | −64.5000 | − | 111.717i | −0.102057 | − | 0.176768i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −175.500 | + | 303.975i | −0.276814 | + | 0.479456i | ||||
\(635\) | 157.500 | − | 90.9327i | 0.248031 | − | 0.143201i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 405.000 | 0.634796 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −418.500 | − | 241.621i | −0.653906 | − | 0.377533i | ||||
\(641\) | −192.000 | + | 332.554i | −0.299532 | + | 0.518805i | −0.976029 | − | 0.217641i | \(-0.930164\pi\) |
0.676497 | + | 0.736445i | \(0.263497\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.92820i | 0.0107748i | 0.999985 | + | 0.00538741i | \(0.00171487\pi\) | ||||
−0.999985 | + | 0.00538741i | \(0.998285\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 162.000 | + | 280.592i | 0.250774 | + | 0.434353i | ||||
\(647\) | 774.000 | + | 446.869i | 1.19629 | + | 0.690679i | 0.959726 | − | 0.280937i | \(-0.0906452\pi\) |
0.236564 | + | 0.971616i | \(0.423979\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 202.500 | − | 116.913i | 0.312018 | − | 0.180144i | ||||
\(650\) | 83.1384i | 0.127905i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1040.00 | −1.59509 | ||||||||
\(653\) | 37.5000 | + | 64.9519i | 0.0574273 | + | 0.0994669i | 0.893310 | − | 0.449441i | \(-0.148377\pi\) |
−0.835883 | + | 0.548908i | \(0.815044\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 445.500 | − | 771.629i | 0.680153 | − | 1.17806i | ||||
\(656\) | 99.0000 | − | 57.1577i | 0.150915 | − | 0.0871306i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −642.000 | −0.974203 | −0.487102 | − | 0.873345i | \(-0.661946\pi\) | ||||
−0.487102 | + | 0.873345i | \(0.661946\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 243.000 | + | 140.296i | 0.367625 | + | 0.212248i | 0.672420 | − | 0.740170i | \(-0.265255\pi\) |
−0.304795 | + | 0.952418i | \(0.598588\pi\) | |||||||
\(662\) | 60.0000 | − | 103.923i | 0.0906344 | − | 0.156983i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 358.535i | 0.539962i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 1080.00 | + | 623.538i | 1.61677 | + | 0.933441i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1026.00 | − | 592.361i | 1.53134 | − | 0.884121i | ||||
\(671\) | 1351.00i | 2.01341i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.0000 | 0.0193165 | 0.00965825 | − | 0.999953i | \(-0.496926\pi\) | ||||
0.00965825 | + | 0.999953i | \(0.496926\pi\) | |||||||
\(674\) | 136.500 | + | 236.425i | 0.202522 | + | 0.350779i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 57.5000 | − | 99.5929i | 0.0850592 | − | 0.147327i | ||||
\(677\) | −1093.50 | + | 631.333i | −1.61521 | + | 0.932544i | −0.627079 | + | 0.778955i | \(0.715750\pi\) |
−0.988135 | + | 0.153589i | \(0.950917\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −162.000 | −0.238235 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 472.500 | + | 272.798i | 0.692815 | + | 0.399997i | ||||
\(683\) | −484.500 | + | 839.179i | −0.709370 | + | 1.22867i | 0.255721 | + | 0.966751i | \(0.417687\pi\) |
−0.965091 | + | 0.261915i | \(0.915646\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 498.831i | 0.728220i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −407.000 | − | 704.945i | −0.591570 | − | 1.02463i | ||||
\(689\) | 396.000 | + | 228.631i | 0.574746 | + | 0.331830i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 87.0000 | − | 50.2295i | 0.125904 | − | 0.0726910i | −0.435725 | − | 0.900080i | \(-0.643508\pi\) |
0.561629 | + | 0.827389i | \(0.310175\pi\) | |||||||
\(692\) | − | 1143.15i | − | 1.65196i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 630.000 | 0.907781 | ||||||||
\(695\) | 477.000 | + | 826.188i | 0.686331 | + | 1.18876i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 54.0000 | − | 93.5307i | 0.0774749 | − | 0.134190i | ||||
\(698\) | −792.000 | + | 457.261i | −1.13467 | + | 0.655102i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −597.000 | −0.851641 | −0.425820 | − | 0.904808i | \(-0.640014\pi\) | ||||
−0.425820 | + | 0.904808i | \(0.640014\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −90.0000 | − | 51.9615i | −0.128023 | − | 0.0739140i | ||||
\(704\) | −682.500 | + | 1182.12i | −0.969460 | + | 1.67915i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1184.72i | 1.67808i | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 415.000 | + | 718.801i | 0.585331 | + | 1.01382i | 0.994834 | + | 0.101515i | \(0.0323689\pi\) |
−0.409503 | + | 0.912309i | \(0.634298\pi\) | |||||||
\(710\) | −1134.00 | − | 654.715i | −1.59718 | − | 0.922134i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 189.000 | − | 109.119i | 0.265449 | − | 0.153257i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1080.00 | 1.51049 | ||||||||
\(716\) | 225.000 | + | 389.711i | 0.314246 | + | 0.544290i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −738.000 | + | 1278.25i | −1.02786 | + | 1.78030i | ||||
\(719\) | 297.000 | − | 171.473i | 0.413074 | − | 0.238488i | −0.279036 | − | 0.960281i | \(-0.590015\pi\) |
0.692110 | + | 0.721792i | \(0.256681\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −759.000 | −1.05125 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −45.0000 | − | 25.9808i | −0.0621547 | − | 0.0358850i | ||||
\(725\) | 9.00000 | − | 15.5885i | 0.0124138 | − | 0.0215013i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 50.2295i | − | 0.0690914i | −0.999403 | − | 0.0345457i | \(-0.989002\pi\) | ||
0.999403 | − | 0.0345457i | \(-0.0109984\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 486.000 | + | 841.777i | 0.665753 | + | 1.15312i | ||||
\(731\) | −666.000 | − | 384.515i | −0.911081 | − | 0.526013i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 159.000 | − | 91.7987i | 0.216917 | − | 0.125237i | −0.387605 | − | 0.921826i | \(-0.626698\pi\) |
0.604522 | + | 0.796589i | \(0.293364\pi\) | |||||||
\(734\) | 982.073i | 1.33797i | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −570.000 | − | 987.269i | −0.773406 | − | 1.33958i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 167.000 | − | 289.252i | 0.225981 | − | 0.391411i | −0.730632 | − | 0.682771i | \(-0.760775\pi\) |
0.956613 | + | 0.291361i | \(0.0941079\pi\) | |||||||
\(740\) | 225.000 | − | 129.904i | 0.304054 | − | 0.175546i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −84.0000 | −0.113055 | −0.0565276 | − | 0.998401i | \(-0.518003\pi\) | ||||
−0.0565276 | + | 0.998401i | \(0.518003\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −837.000 | − | 483.242i | −1.12349 | − | 0.648647i | ||||
\(746\) | 255.000 | − | 441.673i | 0.341823 | − | 0.592055i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 779.423i | 1.04201i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 179.500 | + | 310.903i | 0.239015 | + | 0.413986i | 0.960432 | − | 0.278515i | \(-0.0898423\pi\) |
−0.721417 | + | 0.692501i | \(0.756509\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −324.000 | + | 187.061i | −0.429708 | + | 0.248092i | ||||
\(755\) | 410.496i | 0.543703i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −80.0000 | −0.105680 | −0.0528402 | − | 0.998603i | \(-0.516827\pi\) | ||||
−0.0528402 | + | 0.998603i | \(0.516827\pi\) | |||||||
\(758\) | 123.000 | + | 213.042i | 0.162269 | + | 0.281058i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −81.0000 | + | 140.296i | −0.106579 | + | 0.184600i | ||||
\(761\) | −702.000 | + | 405.300i | −0.922470 | + | 0.532589i | −0.884422 | − | 0.466687i | \(-0.845447\pi\) |
−0.0380481 | + | 0.999276i | \(0.512114\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 1560.00 | 2.04188 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 567.000 | + | 327.358i | 0.740209 | + | 0.427360i | ||||
\(767\) | −108.000 | + | 187.061i | −0.140808 | + | 0.243887i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 774.227i | 1.00680i | 0.864054 | + | 0.503398i | \(0.167917\pi\) | ||||
−0.864054 | + | 0.503398i | \(0.832083\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 462.500 | + | 801.073i | 0.599093 | + | 1.03766i | ||||
\(773\) | −630.000 | − | 363.731i | −0.815006 | − | 0.470544i | 0.0336850 | − | 0.999433i | \(-0.489276\pi\) |
−0.848691 | + | 0.528888i | \(0.822609\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 21.0000 | − | 12.1244i | 0.0270968 | − | 0.0156443i | ||||
\(776\) | 555.988i | 0.716480i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 918.000 | 1.17995 | ||||||||
\(779\) | −54.0000 | − | 93.5307i | −0.0693196 | − | 0.120065i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −630.000 | + | 1091.19i | −0.806658 | + | 1.39717i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 108.000 | 0.137580 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1236.00 | + | 713.605i | 1.57052 | + | 0.906741i | 0.996105 | + | 0.0881773i | \(0.0281042\pi\) |
0.574416 | + | 0.818563i | \(0.305229\pi\) | |||||||
\(788\) | 825.000 | − | 1428.94i | 1.04695 | − | 1.81338i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 670.304i | 0.848486i | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −624.000 | − | 1080.80i | −0.786885 | − | 1.36293i | ||||
\(794\) | 666.000 | + | 384.515i | 0.838791 | + | 0.484276i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 30.0000 | − | 17.3205i | 0.0376884 | − | 0.0217594i | ||||
\(797\) | 607.950i | 0.762798i | 0.924411 | + | 0.381399i | \(0.124558\pi\) | ||||
−0.924411 | + | 0.381399i | \(0.875442\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 45.0000 | + | 77.9423i | 0.0562500 | + | 0.0974279i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −198.000 | + | 342.946i | −0.246883 | + | 0.427614i | ||||
\(803\) | 810.000 | − | 467.654i | 1.00872 | − | 0.582383i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −504.000 | −0.625310 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 378.000 | + | 218.238i | 0.467822 | + | 0.270097i | ||||
\(809\) | −84.0000 | + | 145.492i | −0.103832 | + | 0.179842i | −0.913260 | − | 0.407376i | \(-0.866444\pi\) |
0.809428 | + | 0.587218i | \(0.199777\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 353.338i | − | 0.435682i | −0.975984 | − | 0.217841i | \(-0.930099\pi\) | ||
0.975984 | − | 0.217841i | \(-0.0699015\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −225.000 | − | 389.711i | −0.276413 | − | 0.478761i | ||||
\(815\) | 936.000 | + | 540.400i | 1.14847 | + | 0.663067i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −666.000 | + | 384.515i | −0.815177 | + | 0.470643i | ||||
\(818\) | 1086.00i | 1.32762i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 270.000 | 0.329268 | ||||||||
\(821\) | 142.500 | + | 246.817i | 0.173569 | + | 0.300630i | 0.939665 | − | 0.342096i | \(-0.111137\pi\) |
−0.766096 | + | 0.642726i | \(0.777803\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 137.000 | − | 237.291i | 0.166464 | − | 0.288324i | −0.770710 | − | 0.637186i | \(-0.780098\pi\) |
0.937174 | + | 0.348862i | \(0.113432\pi\) | |||||||
\(824\) | −180.000 | + | 103.923i | −0.218447 | + | 0.126120i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −429.000 | −0.518742 | −0.259371 | − | 0.965778i | \(-0.583515\pi\) | ||||
−0.259371 | + | 0.965778i | \(0.583515\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 819.000 | + | 472.850i | 0.987937 | + | 0.570386i | 0.904657 | − | 0.426140i | \(-0.140127\pi\) |
0.0832802 | + | 0.996526i | \(0.473460\pi\) | |||||||
\(830\) | 931.500 | − | 1613.41i | 1.12229 | − | 1.94386i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 1260.93i | − | 1.51554i | ||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −648.000 | − | 1122.37i | −0.776048 | − | 1.34415i | ||||
\(836\) | 675.000 | + | 389.711i | 0.807416 | + | 0.466162i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −1674.00 | + | 966.484i | −1.99761 | + | 1.15332i | ||||
\(839\) | 259.808i | 0.309663i | 0.987941 | + | 0.154832i | \(0.0494835\pi\) | ||||
−0.987941 | + | 0.154832i | \(0.950516\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −760.000 | −0.903686 | ||||||||
\(842\) | 1128.00 | + | 1953.75i | 1.33967 | + | 2.32037i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 620.000 | − | 1073.87i | 0.734597 | − | 1.27236i | ||||
\(845\) | −103.500 | + | 59.7558i | −0.122485 | + | 0.0707169i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 363.000 | 0.428066 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 54.0000 | + | 31.1769i | 0.0635294 | + | 0.0366787i | ||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 997.661i | − | 1.16959i | −0.811181 | − | 0.584796i | \(-0.801175\pi\) | ||
0.811181 | − | 0.584796i | \(-0.198825\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −139.500 | − | 241.621i | −0.162967 | − | 0.282268i | ||||
\(857\) | 378.000 | + | 218.238i | 0.441074 | + | 0.254654i | 0.704053 | − | 0.710148i | \(-0.251372\pi\) |
−0.262979 | + | 0.964801i | \(0.584705\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 393.000 | − | 226.899i | 0.457509 | − | 0.264143i | −0.253487 | − | 0.967339i | \(-0.581578\pi\) |
0.710996 | + | 0.703196i | \(0.248244\pi\) | |||||||
\(860\) | − | 1922.58i | − | 2.23555i | ||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 486.000 | 0.563805 | ||||||||
\(863\) | −195.000 | − | 337.750i | −0.225956 | − | 0.391367i | 0.730650 | − | 0.682752i | \(-0.239217\pi\) |
−0.956606 | + | 0.291385i | \(0.905884\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −594.000 | + | 1028.84i | −0.686705 | + | 1.18941i | ||||
\(866\) | −882.000 | + | 509.223i | −1.01848 | + | 0.588017i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 645.000 | 0.742232 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 912.000 | + | 526.543i | 1.04707 | + | 0.604527i | ||||
\(872\) | −12.0000 | + | 20.7846i | −0.0137615 | + | 0.0238356i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 272.000 | + | 471.118i | 0.310148 | + | 0.537192i | 0.978394 | − | 0.206748i | \(-0.0662880\pi\) |
−0.668246 | + | 0.743940i | \(0.732955\pi\) | |||||||
\(878\) | −1012.50 | − | 584.567i | −1.15319 | − | 0.665794i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 742.500 | − | 428.683i | 0.843750 | − | 0.487139i | ||||
\(881\) | − | 187.061i | − | 0.212329i | −0.994349 | − | 0.106164i | \(-0.966143\pi\) | ||
0.994349 | − | 0.106164i | \(-0.0338569\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 322.000 | 0.364666 | 0.182333 | − | 0.983237i | \(-0.441635\pi\) | ||||
0.182333 | + | 0.983237i | \(0.441635\pi\) | |||||||
\(884\) | −360.000 | − | 623.538i | −0.407240 | − | 0.705360i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 445.500 | − | 771.629i | 0.502822 | − | 0.870913i | ||||
\(887\) | 612.000 | − | 353.338i | 0.689966 | − | 0.398352i | −0.113633 | − | 0.993523i | \(-0.536249\pi\) |
0.803599 | + | 0.595171i | \(0.202916\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −1134.00 | −1.27416 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −832.500 | − | 480.644i | −0.933296 | − | 0.538839i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 467.654i | − | 0.522518i | ||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 738.000 | + | 1278.25i | 0.821826 | + | 1.42344i | ||||
\(899\) | 94.5000 | + | 54.5596i | 0.105117 | + | 0.0606892i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 297.000 | − | 171.473i | 0.329634 | − | 0.190314i | ||||
\(902\) | − | 467.654i | − | 0.518463i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 126.000 | 0.139381 | ||||||||
\(905\) | 27.0000 | + | 46.7654i | 0.0298343 | + | 0.0516744i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 550.000 | − | 952.628i | 0.606395 | − | 1.05031i | −0.385435 | − | 0.922735i | \(-0.625948\pi\) |
0.991829 | − | 0.127571i | \(-0.0407182\pi\) | |||||||
\(908\) | 382.500 | − | 220.836i | 0.421256 | − | 0.243212i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −900.000 | −0.987925 | −0.493963 | − | 0.869483i | \(-0.664452\pi\) | ||||
−0.493963 | + | 0.869483i | \(0.664452\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1552.50 | − | 896.336i | −1.70044 | − | 0.981748i | ||||
\(914\) | −664.500 | + | 1150.95i | −0.727024 | + | 1.25924i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 1645.45i | − | 1.79634i | ||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 859.000 | + | 1487.83i | 0.934712 | + | 1.61897i | 0.775147 | + | 0.631781i | \(0.217676\pi\) |
0.159564 | + | 0.987188i | \(0.448991\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1080.00 | + | 623.538i | −1.17137 | + | 0.676289i | ||||
\(923\) | − | 1163.94i | − | 1.26104i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −20.0000 | −0.0216216 | ||||||||
\(926\) | −123.000 | − | 213.042i | −0.132829 | − | 0.230067i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −202.500 | + | 350.740i | −0.218211 | + | 0.377953i | ||||
\(929\) | −1287.00 | + | 743.050i | −1.38536 | + | 0.799838i | −0.992788 | − | 0.119883i | \(-0.961748\pi\) |
−0.392573 | + | 0.919721i | \(0.628415\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −1350.00 | −1.44850 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 702.000 | + | 405.300i | 0.751606 | + | 0.433940i | ||||
\(935\) | 405.000 | − | 701.481i | 0.433155 | − | 0.750247i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 957.824i | 1.02222i | 0.859514 | + | 0.511112i | \(0.170766\pi\) | ||||
−0.859514 | + | 0.511112i | \(0.829234\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 310.500 | + | 179.267i | 0.329968 | + | 0.190507i | 0.655827 | − | 0.754911i | \(-0.272320\pi\) |
−0.325859 | + | 0.945418i | \(0.605653\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 171.473i | 0.181645i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3330.00 | −3.52008 | ||||||||
\(947\) | 81.0000 | + | 140.296i | 0.0855333 | + | 0.148148i | 0.905618 | − | 0.424094i | \(-0.139407\pi\) |
−0.820085 | + | 0.572242i | \(0.806074\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −432.000 | + | 748.246i | −0.455216 | + | 0.788457i | ||||
\(950\) | 54.0000 | − | 31.1769i | 0.0568421 | − | 0.0328178i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 954.000 | 1.00105 | 0.500525 | − | 0.865722i | \(-0.333140\pi\) | ||||
0.500525 | + | 0.865722i | \(0.333140\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1404.00 | − | 810.600i | −1.47016 | − | 0.848796i | ||||
\(956\) | −570.000 | + | 987.269i | −0.596234 | + | 1.03271i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1028.84i | 1.07394i | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −407.000 | − | 704.945i | −0.423517 | − | 0.733553i | ||||
\(962\) | 360.000 | + | 207.846i | 0.374220 | + | 0.216056i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1927.50 | − | 1112.84i | 1.99948 | − | 1.15440i | ||||
\(965\) | − | 961.288i | − | 0.996154i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −751.000 | −0.776629 | −0.388314 | − | 0.921527i | \(-0.626943\pi\) | ||||
−0.388314 | + | 0.921527i | \(0.626943\pi\) | |||||||
\(968\) | 156.000 | + | 270.200i | 0.161157 | + | 0.279132i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1444.50 | − | 2501.95i | 1.48918 | − | 2.57933i | ||||
\(971\) | −247.500 | + | 142.894i | −0.254892 | + | 0.147162i | −0.622002 | − | 0.783016i | \(-0.713680\pi\) |
0.367110 | + | 0.930177i | \(0.380347\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 951.000 | 0.976386 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −858.000 | − | 495.367i | −0.879098 | − | 0.507548i | ||||
\(977\) | −9.00000 | + | 15.5885i | −0.00921187 | + | 0.0159554i | −0.870595 | − | 0.492001i | \(-0.836266\pi\) |
0.861383 | + | 0.507957i | \(0.169599\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1091.19i | 1.11460i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −40.5000 | − | 70.1481i | −0.0412424 | − | 0.0714339i | ||||
\(983\) | −855.000 | − | 493.634i | −0.869786 | − | 0.502171i | −0.00250913 | − | 0.999997i | \(-0.500799\pi\) |
−0.867277 | + | 0.497825i | \(0.834132\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1485.00 | + | 857.365i | −1.50761 | + | 0.870421i | ||||
\(986\) | 280.592i | 0.284576i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −720.000 | −0.728745 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −351.500 | + | 608.816i | −0.354692 | + | 0.614345i | −0.987065 | − | 0.160319i | \(-0.948748\pi\) |
0.632373 | + | 0.774664i | \(0.282081\pi\) | |||||||
\(992\) | −472.500 | + | 272.798i | −0.476310 | + | 0.274998i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −36.0000 | −0.0361809 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −186.000 | − | 107.387i | −0.186560 | − | 0.107710i | 0.403811 | − | 0.914842i | \(-0.367685\pi\) |
−0.590371 | + | 0.807132i | \(0.701019\pi\) | |||||||
\(998\) | −669.000 | + | 1158.74i | −0.670341 | + | 1.16106i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.3.m.g.325.1 | 2 | ||
3.2 | odd | 2 | 147.3.f.a.31.1 | 2 | |||
7.2 | even | 3 | 63.3.m.d.19.1 | 2 | |||
7.3 | odd | 6 | 441.3.d.a.244.1 | 2 | |||
7.4 | even | 3 | 441.3.d.a.244.2 | 2 | |||
7.5 | odd | 6 | inner | 441.3.m.g.19.1 | 2 | ||
7.6 | odd | 2 | 63.3.m.d.10.1 | 2 | |||
21.2 | odd | 6 | 21.3.f.a.19.1 | yes | 2 | ||
21.5 | even | 6 | 147.3.f.a.19.1 | 2 | |||
21.11 | odd | 6 | 147.3.d.c.97.1 | 2 | |||
21.17 | even | 6 | 147.3.d.c.97.2 | 2 | |||
21.20 | even | 2 | 21.3.f.a.10.1 | ✓ | 2 | ||
28.23 | odd | 6 | 1008.3.cg.a.145.1 | 2 | |||
28.27 | even | 2 | 1008.3.cg.a.577.1 | 2 | |||
84.11 | even | 6 | 2352.3.f.a.97.2 | 2 | |||
84.23 | even | 6 | 336.3.bh.d.145.1 | 2 | |||
84.59 | odd | 6 | 2352.3.f.a.97.1 | 2 | |||
84.83 | odd | 2 | 336.3.bh.d.241.1 | 2 | |||
105.2 | even | 12 | 525.3.s.e.124.1 | 4 | |||
105.23 | even | 12 | 525.3.s.e.124.2 | 4 | |||
105.44 | odd | 6 | 525.3.o.h.376.1 | 2 | |||
105.62 | odd | 4 | 525.3.s.e.199.2 | 4 | |||
105.83 | odd | 4 | 525.3.s.e.199.1 | 4 | |||
105.104 | even | 2 | 525.3.o.h.451.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.3.f.a.10.1 | ✓ | 2 | 21.20 | even | 2 | ||
21.3.f.a.19.1 | yes | 2 | 21.2 | odd | 6 | ||
63.3.m.d.10.1 | 2 | 7.6 | odd | 2 | |||
63.3.m.d.19.1 | 2 | 7.2 | even | 3 | |||
147.3.d.c.97.1 | 2 | 21.11 | odd | 6 | |||
147.3.d.c.97.2 | 2 | 21.17 | even | 6 | |||
147.3.f.a.19.1 | 2 | 21.5 | even | 6 | |||
147.3.f.a.31.1 | 2 | 3.2 | odd | 2 | |||
336.3.bh.d.145.1 | 2 | 84.23 | even | 6 | |||
336.3.bh.d.241.1 | 2 | 84.83 | odd | 2 | |||
441.3.d.a.244.1 | 2 | 7.3 | odd | 6 | |||
441.3.d.a.244.2 | 2 | 7.4 | even | 3 | |||
441.3.m.g.19.1 | 2 | 7.5 | odd | 6 | inner | ||
441.3.m.g.325.1 | 2 | 1.1 | even | 1 | trivial | ||
525.3.o.h.376.1 | 2 | 105.44 | odd | 6 | |||
525.3.o.h.451.1 | 2 | 105.104 | even | 2 | |||
525.3.s.e.124.1 | 4 | 105.2 | even | 12 | |||
525.3.s.e.124.2 | 4 | 105.23 | even | 12 | |||
525.3.s.e.199.1 | 4 | 105.83 | odd | 4 | |||
525.3.s.e.199.2 | 4 | 105.62 | odd | 4 | |||
1008.3.cg.a.145.1 | 2 | 28.23 | odd | 6 | |||
1008.3.cg.a.577.1 | 2 | 28.27 | even | 2 | |||
2352.3.f.a.97.1 | 2 | 84.59 | odd | 6 | |||
2352.3.f.a.97.2 | 2 | 84.11 | even | 6 |