Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [196,10,Mod(165,196)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(196, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("196.165");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 196 = 2^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 196.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(100.947023888\) |
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: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 4) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 177.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 196.177 |
Dual form | 196.10.e.b.165.1 |
$q$-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 \(\left(\mathbb{Z}/196\mathbb{Z}\right)^\times\).
\(n\) | \(99\) | \(101\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 114.000 | + | 197.454i | 0.812567 | + | 1.40741i | 0.911062 | + | 0.412270i | \(0.135264\pi\) |
−0.0984947 | + | 0.995138i | \(0.531403\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −333.000 | + | 576.773i | −0.238275 | + | 0.412705i | −0.960220 | − | 0.279246i | \(-0.909915\pi\) |
0.721944 | + | 0.691951i | \(0.243249\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −16150.5 | + | 27973.5i | −0.820530 | + | 1.42120i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 15210.0 | + | 26344.5i | 0.313229 | + | 0.542529i | 0.979059 | − | 0.203574i | \(-0.0652559\pi\) |
−0.665830 | + | 0.746103i | \(0.731923\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 32338.0 | 0.314028 | 0.157014 | − | 0.987596i | \(-0.449813\pi\) | ||||
0.157014 | + | 0.987596i | \(0.449813\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −151848. | −0.774459 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 295497. | + | 511816.i | 0.858090 | + | 1.48626i | 0.873748 | + | 0.486378i | \(0.161682\pi\) |
−0.0156581 | + | 0.999877i | \(0.504984\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 17338.0 | − | 30030.3i | 0.0305216 | − | 0.0528650i | −0.850361 | − | 0.526200i | \(-0.823616\pi\) |
0.880883 | + | 0.473335i | \(0.156950\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −524268. | + | 908059.i | −0.390641 | + | 0.676610i | −0.992534 | − | 0.121966i | \(-0.961080\pi\) |
0.601893 | + | 0.798577i | \(0.294413\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 754784. | + | 1.30733e6i | 0.386450 | + | 0.669350i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.87690e6 | −1.04181 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.40941e6 | 1.15768 | 0.578841 | − | 0.815441i | \(-0.303505\pi\) | ||||
0.578841 | + | 0.815441i | \(0.303505\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.70059e6 | − | 6.40961e6i | −0.719687 | − | 1.24653i | −0.961124 | − | 0.276118i | \(-0.910952\pi\) |
0.241437 | − | 0.970417i | \(-0.422381\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.46788e6 | + | 6.00654e6i | −0.509039 | + | 0.881682i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.11725e6 | + | 8.86334e6i | −0.448879 | + | 0.777481i | −0.998313 | − | 0.0580560i | \(-0.981510\pi\) |
0.549435 | + | 0.835537i | \(0.314843\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.68653e6 | + | 6.38526e6i | 0.255169 | + | 0.441965i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.83527e7 | −1.01432 | −0.507158 | − | 0.861853i | \(-0.669304\pi\) | ||||
−0.507158 | + | 0.861853i | \(0.669304\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −252340. | −0.0112558 | −0.00562792 | − | 0.999984i | \(-0.501791\pi\) | ||||
−0.00562792 | + | 0.999984i | \(0.501791\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.07562e7 | − | 1.86303e7i | −0.391024 | − | 0.677274i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.47586e7 | + | 4.28831e7i | −0.740091 | + | 1.28188i | 0.212362 | + | 0.977191i | \(0.431884\pi\) |
−0.952453 | + | 0.304684i | \(0.901449\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.73733e7 | + | 1.16694e8i | −1.39451 | + | 2.41536i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.31985e7 | + | 5.75014e7i | 0.577932 | + | 1.00101i | 0.995716 | + | 0.0924608i | \(0.0294733\pi\) |
−0.417785 | + | 0.908546i | \(0.637193\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.02597e7 | −0.298539 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.90613e6 | 0.0992035 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.07619e7 | − | 5.32811e7i | −0.330506 | − | 0.572452i | 0.652106 | − | 0.758128i | \(-0.273886\pi\) |
−0.982611 | + | 0.185676i | \(0.940553\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.78193e7 | − | 3.08640e7i | 0.164781 | − | 0.285409i | −0.771797 | − | 0.635869i | \(-0.780642\pi\) |
0.936577 | + | 0.350461i | \(0.113975\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.07686e7 | + | 1.86517e7i | −0.0748251 | + | 0.129601i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.08712e7 | − | 1.57394e8i | −0.550921 | − | 0.954224i | −0.998208 | − | 0.0598333i | \(-0.980943\pi\) |
0.447287 | − | 0.894390i | \(-0.352390\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −2.39066e8 | −1.26969 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.09050e7 | 0.424546 | 0.212273 | − | 0.977210i | \(-0.431913\pi\) | ||||
0.212273 | + | 0.977210i | \(0.431913\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.31489e8 | − | 2.27746e8i | −0.541923 | − | 0.938638i | −0.998794 | − | 0.0491051i | \(-0.984363\pi\) |
0.456871 | − | 0.889533i | \(-0.348970\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.72091e8 | + | 2.98070e8i | −0.628033 | + | 1.08778i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.82514e7 | − | 1.00894e8i | 0.168261 | − | 0.291437i | −0.769547 | − | 0.638590i | \(-0.779518\pi\) |
0.937809 | + | 0.347153i | \(0.112851\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.00768e7 | − | 1.74535e7i | −0.0260099 | − | 0.0450505i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.56372e6 | 0.0221195 | 0.0110598 | − | 0.999939i | \(-0.496479\pi\) | ||||
0.0110598 | + | 0.999939i | \(0.496479\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.93602e8 | −0.817847 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.02672e8 | + | 8.70654e8i | 0.940694 | + | 1.62933i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.05913e8 | − | 5.29857e8i | 0.516825 | − | 0.895167i | −0.482984 | − | 0.875629i | \(-0.660447\pi\) |
0.999809 | − | 0.0195379i | \(-0.00621950\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 8.43735e8 | − | 1.46139e9i | 1.16959 | − | 2.02579i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.15471e7 | + | 2.00002e7i | 0.0145451 | + | 0.0251929i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.59313e8 | 0.297407 | 0.148703 | − | 0.988882i | \(-0.452490\pi\) | ||||
0.148703 | + | 0.988882i | \(0.452490\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −9.82596e8 | −1.02806 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.82775e8 | + | 1.35581e9i | 0.748498 | + | 1.29644i | 0.948542 | + | 0.316650i | \(0.102558\pi\) |
−0.200044 | + | 0.979787i | \(0.564109\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.88547e8 | − | 3.26574e8i | 0.165064 | − | 0.285900i | −0.771614 | − | 0.636091i | \(-0.780550\pi\) |
0.936678 | + | 0.350192i | \(0.113884\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.08859e9 | − | 1.88549e9i | 0.802852 | − | 1.39058i | −0.114879 | − | 0.993379i | \(-0.536648\pi\) |
0.917731 | − | 0.397201i | \(-0.130019\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.54057e8 | − | 1.30607e9i | −0.511664 | − | 0.886229i | −0.999909 | − | 0.0135216i | \(-0.995696\pi\) |
0.488244 | − | 0.872707i | \(-0.337638\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.33347e9 | −1.45898 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.45355e9 | −0.838640 | −0.419320 | − | 0.907838i | \(-0.637731\pi\) | ||||
−0.419320 | + | 0.907838i | \(0.637731\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.49162e8 | − | 6.04767e8i | −0.186160 | − | 0.322439i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −5.22275e8 | + | 9.04607e8i | −0.257669 | + | 0.446296i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.16286e8 | − | 1.24064e9i | 0.303775 | − | 0.526154i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.09221e9 | − | 3.62382e9i | −0.824201 | − | 1.42756i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −2.30615e9 | −0.844877 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.43679e9 | 0.831193 | 0.415597 | − | 0.909549i | \(-0.363573\pi\) | ||||
0.415597 | + | 0.909549i | \(0.363573\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.87668e7 | − | 4.98255e7i | −0.00914613 | − | 0.0158416i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.16789e8 | + | 1.24152e9i | −0.212653 | + | 0.368325i | −0.952544 | − | 0.304401i | \(-0.901544\pi\) |
0.739891 | + | 0.672726i | \(0.234877\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 9.58009e8 | − | 1.65932e9i | 0.248238 | − | 0.429960i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.65452e8 | − | 8.06186e8i | −0.112884 | − | 0.195521i | 0.804048 | − | 0.594564i | \(-0.202675\pi\) |
−0.916932 | + | 0.399044i | \(0.869342\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.84316e9 | −1.10043 | −0.550215 | − | 0.835023i | \(-0.685454\pi\) | ||||
−0.550215 | + | 0.835023i | \(0.685454\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.12899e10 | −2.40549 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 4.91861e8 | + | 8.51928e8i | 0.0983626 | + | 0.170369i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.46833e9 | + | 2.54323e9i | −0.275847 | + | 0.477781i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −4.26635e9 | + | 7.38953e9i | −0.709117 | + | 1.22823i | 0.256068 | + | 0.966659i | \(0.417573\pi\) |
−0.965185 | + | 0.261568i | \(0.915760\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.57258e9 | + | 6.18788e9i | 0.559223 | + | 0.968603i | 0.997562 | + | 0.0697929i | \(0.0222339\pi\) |
−0.438338 | + | 0.898810i | \(0.644433\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.90897e10 | −2.81636 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.92919e9 | 0.685935 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.69119e9 | − | 2.92923e9i | −0.222149 | − | 0.384774i | 0.733311 | − | 0.679893i | \(-0.237974\pi\) |
−0.955460 | + | 0.295119i | \(0.904641\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −7.56925e9 | + | 1.31103e10i | −0.939216 | + | 1.62677i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.50757e8 | − | 7.80735e8i | 0.0500148 | − | 0.0866282i | −0.839934 | − | 0.542688i | \(-0.817406\pi\) |
0.889949 | + | 0.456060i | \(0.150740\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.30961e9 | − | 4.00036e9i | −0.242583 | − | 0.420166i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −4.05605e9 | −0.403533 | −0.201767 | − | 0.979434i | \(-0.564668\pi\) | ||||
−0.201767 | + | 0.979434i | \(0.564668\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.55875e9 | −0.901387 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 5.60035e8 | + | 9.70009e8i | 0.0500879 | + | 0.0867547i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −5.13801e8 | + | 8.89929e8i | −0.0436101 | + | 0.0755349i | −0.887007 | − | 0.461757i | \(-0.847219\pi\) |
0.843396 | + | 0.537292i | \(0.180553\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 7.01371e9 | − | 1.21481e10i | 0.537116 | − | 0.930312i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −7.42360e9 | − | 1.28581e10i | −0.540476 | − | 0.936131i | −0.998877 | − | 0.0473859i | \(-0.984911\pi\) |
0.458401 | − | 0.888746i | \(-0.348422\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.53270e10 | −1.75400 | −0.877001 | − | 0.480488i | \(-0.840459\pi\) | ||||
−0.877001 | + | 0.480488i | \(0.840459\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.12561e9 | 0.535582 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.40809e9 | − | 5.90298e9i | −0.213913 | − | 0.370509i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.98902e9 | + | 1.55694e10i | −0.537558 | + | 0.931077i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.08280e9 | − | 1.39998e10i | 0.439452 | − | 0.761154i | −0.558195 | − | 0.829710i | \(-0.688506\pi\) |
0.997647 | + | 0.0685562i | \(0.0218392\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.00943e8 | + | 1.56048e9i | 0.0467401 | + | 0.0809562i | 0.888449 | − | 0.458975i | \(-0.151783\pi\) |
−0.841709 | + | 0.539932i | \(0.818450\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.91046e9 | −0.243202 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.86979e10 | −0.884495 | −0.442247 | − | 0.896893i | \(-0.645819\pi\) | ||||
−0.442247 | + | 0.896893i | \(0.645819\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.44945e10 | + | 2.51052e10i | 0.655186 | + | 1.13481i | 0.981847 | + | 0.189673i | \(0.0607429\pi\) |
−0.326662 | + | 0.945141i | \(0.605924\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.07186e10 | − | 3.58857e10i | 0.895321 | − | 1.55074i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.11146e9 | − | 1.05854e10i | 0.241687 | − | 0.418614i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1.69344e10 | − | 2.93312e10i | −0.641066 | − | 1.11036i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.05484e9 | 0.0382411 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.97990e10 | −0.687657 | −0.343828 | − | 0.939033i | \(-0.611724\pi\) | ||||
−0.343828 | + | 0.939033i | \(0.611724\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.03632e10 | + | 1.79495e10i | 0.344972 | + | 0.597510i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 8.40292e7 | − | 1.45543e8i | 0.00268199 | − | 0.00464534i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.99796e10 | − | 5.19261e10i | 0.880698 | − | 1.52541i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 9.55578e9 | + | 1.65511e10i | 0.269464 | + | 0.466726i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.78768e10 | 1.83802 | 0.919009 | − | 0.394237i | \(-0.128991\pi\) | ||||
0.919009 | + | 0.394237i | \(0.128991\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.87606e10 | −1.26837 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2.72803e10 | + | 4.72508e10i | 0.681919 | + | 1.18112i | 0.974395 | + | 0.224845i | \(0.0721876\pi\) |
−0.292476 | + | 0.956273i | \(0.594479\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.31976e10 | − | 4.01794e10i | 0.557421 | − | 0.965481i | −0.440290 | − | 0.897856i | \(-0.645124\pi\) |
0.997711 | − | 0.0676254i | \(-0.0215423\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.95694e8 | − | 3.38953e8i | 0.00434988 | − | 0.00753421i | −0.863842 | − | 0.503762i | \(-0.831949\pi\) |
0.868192 | + | 0.496228i | \(0.165282\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.64892e10 | − | 2.85601e10i | −0.352691 | − | 0.610879i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 2.65626e10 | 0.546895 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 9.06538e10 | 1.79720 | 0.898598 | − | 0.438772i | \(-0.144586\pi\) | ||||
0.898598 | + | 0.438772i | \(0.144586\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.38832e10 | − | 5.86874e10i | −0.647004 | − | 1.12064i | −0.983835 | − | 0.179079i | \(-0.942688\pi\) |
0.336830 | − | 0.941565i | \(-0.390645\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −2.60155e10 | + | 4.50603e10i | −0.478635 | + | 0.829021i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.60676e8 | − | 9.71120e8i | 0.00958464 | − | 0.0166011i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.09026e9 | + | 1.88839e9i | 0.0179736 | + | 0.0311312i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5.47163e10 | −0.870131 | −0.435066 | − | 0.900399i | \(-0.643275\pi\) | ||||
−0.435066 | + | 0.900399i | \(0.643275\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.18965e10 | −0.489441 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.48706e10 | − | 7.77182e10i | −0.664556 | − | 1.15104i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −1.70450e10 | + | 2.95228e10i | −0.243724 | + | 0.422142i | −0.961772 | − | 0.273851i | \(-0.911702\pi\) |
0.718048 | + | 0.695993i | \(0.245036\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −7.12141e10 | + | 1.23346e11i | −0.949913 | + | 1.64530i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 3.58680e10 | + | 6.21252e10i | 0.462282 | + | 0.800695i | 0.999074 | − | 0.0430190i | \(-0.0136976\pi\) |
−0.536793 | + | 0.843714i | \(0.680364\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.42203e10 | −0.550828 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.39496e11 | 1.67982 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.15805e9 | + | 2.00580e9i | 0.0134847 | + | 0.0233562i | 0.872689 | − | 0.488276i | \(-0.162374\pi\) |
−0.859204 | + | 0.511633i | \(0.829041\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.02331e10 | − | 6.96858e10i | 0.453129 | − | 0.784842i | −0.545450 | − | 0.838144i | \(-0.683641\pi\) |
0.998578 | + | 0.0533014i | \(0.0169744\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.29605e10 | + | 3.97688e10i | −0.242095 | + | 0.419320i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.28220e10 | + | 1.43452e11i | 0.845253 | + | 1.46402i | 0.885402 | + | 0.464827i | \(0.153883\pi\) |
−0.0401491 | + | 0.999194i | \(0.512783\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.39066e11 | 2.36210 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.57177e10 | 0.246067 | 0.123034 | − | 0.992402i | \(-0.460738\pi\) | ||||
0.123034 | + | 0.992402i | \(0.460738\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.16563e10 | + | 3.75098e10i | 0.200699 | + | 0.347621i | 0.948754 | − | 0.316016i | \(-0.102345\pi\) |
−0.748055 | + | 0.663637i | \(0.769012\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.63274e9 | + | 4.56004e9i | −0.0236378 | + | 0.0409418i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.15343e11 | + | 1.99780e11i | −0.972638 | + | 1.68466i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.95617e10 | + | 5.12023e10i | 0.241663 | + | 0.418573i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.83473e10 | 0.383238 | 0.191619 | − | 0.981469i | \(-0.438626\pi\) | ||||
0.191619 | + | 0.981469i | \(0.438626\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.09748e10 | 0.315005 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.37577e10 | − | 7.57906e10i | −0.326325 | − | 0.565212i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.69538e10 | + | 2.93648e10i | −0.122672 | + | 0.212474i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.78473e11 | + | 3.09124e11i | −1.21641 | + | 2.10688i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.18677e10 | + | 2.05554e10i | 0.0785264 | + | 0.136012i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.37971e11 | −0.886470 | −0.443235 | − | 0.896406i | \(-0.646169\pi\) | ||||
−0.443235 | + | 0.896406i | \(0.646169\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.59776e10 | 0.536503 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.02226e11 | − | 1.77060e11i | −0.619638 | − | 1.07325i | −0.989552 | − | 0.144179i | \(-0.953946\pi\) |
0.369913 | − | 0.929066i | \(-0.379387\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.70922e10 | + | 1.50848e11i | −0.512897 | + | 0.888363i | 0.486992 | + | 0.873407i | \(0.338094\pi\) |
−0.999888 | + | 0.0149562i | \(0.995239\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.21234e10 | − | 7.29598e10i | 0.234292 | − | 0.405805i | −0.724775 | − | 0.688986i | \(-0.758056\pi\) |
0.959067 | + | 0.283181i | \(0.0913896\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.70671e10 | + | 1.16164e11i | 0.362620 | + | 0.628076i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.96395e11 | 2.60949 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.04933e10 | 0.104761 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.44082e10 | + | 4.22763e10i | 0.121356 | + | 0.210195i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.71925e11 | − | 2.97783e11i | 0.831523 | − | 1.44024i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.44388e11 | − | 2.50088e11i | 0.661160 | − | 1.14516i | −0.319152 | − | 0.947704i | \(-0.603398\pi\) |
0.980311 | − | 0.197458i | \(-0.0632688\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.65292e11 | − | 2.86295e11i | −0.736637 | − | 1.27589i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.21040e11 | 0.525084 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.35030e11 | 0.570289 | 0.285144 | − | 0.958485i | \(-0.407958\pi\) | ||||
0.285144 | + | 0.958485i | \(0.407958\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.65704e11 | − | 2.87008e11i | −0.681451 | − | 1.18031i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.12572e11 | − | 1.94980e11i | 0.450854 | − | 0.780902i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 7.96090e10 | − | 1.37887e11i | 0.302536 | − | 0.524007i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.95952e10 | + | 3.39398e10i | 0.0725548 | + | 0.125669i | 0.900020 | − | 0.435848i | \(-0.143551\pi\) |
−0.827466 | + | 0.561517i | \(0.810218\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.58818e10 | 0.165549 | 0.0827744 | − | 0.996568i | \(-0.473622\pi\) | ||||
0.0827744 | + | 0.996568i | \(0.473622\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −9.30333e10 | −0.327157 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 2.64795e11 | + | 4.58638e11i | 0.907660 | + | 1.57211i | 0.817306 | + | 0.576204i | \(0.195466\pi\) |
0.0903538 | + | 0.995910i | \(0.471200\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.02714e10 | + | 5.24315e10i | −0.101159 | + | 0.175212i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.27446e10 | − | 3.93949e10i | 0.0722693 | − | 0.125174i | −0.827626 | − | 0.561280i | \(-0.810309\pi\) |
0.899896 | + | 0.436106i | \(0.143643\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.60743e11 | + | 2.78414e11i | 0.498137 | + | 0.862798i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.26626e11 | 0.987350 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.75144e11 | 0.516508 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.22583e11 | + | 2.12321e11i | 0.352723 | + | 0.610935i | 0.986726 | − | 0.162396i | \(-0.0519224\pi\) |
−0.634002 | + | 0.773331i | \(0.718589\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 2.96406e11 | − | 5.13390e11i | 0.832278 | − | 1.44155i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.01449e10 | − | 1.38815e11i | 0.214381 | − | 0.371318i | −0.738700 | − | 0.674034i | \(-0.764560\pi\) |
0.953081 | + | 0.302716i | \(0.0978933\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −2.62902e11 | − | 4.55359e11i | −0.686519 | − | 1.18909i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.42591e11 | 0.363544 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.55772e11 | −0.885719 | −0.442859 | − | 0.896591i | \(-0.646036\pi\) | ||||
−0.442859 | + | 0.896591i | \(0.646036\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.77794e11 | + | 4.81154e11i | 0.675400 | + | 1.16983i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.48504e11 | + | 4.30421e11i | −0.590118 | + | 1.02211i | 0.404098 | + | 0.914716i | \(0.367585\pi\) |
−0.994216 | + | 0.107398i | \(0.965748\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 4.07542e9 | − | 7.05883e9i | 0.00923576 | − | 0.0159968i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 2.97134e11 | + | 5.14651e11i | 0.657929 | + | 1.13957i | 0.981151 | + | 0.193244i | \(0.0619009\pi\) |
−0.323221 | + | 0.946323i | \(0.604766\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.19678e11 | −1.34082 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.26856e11 | −0.691178 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 3.87954e10 | + | 6.71957e10i | 0.0801851 | + | 0.138885i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.92876e10 | + | 1.02689e11i | −0.119786 | + | 0.207476i | −0.919683 | − | 0.392662i | \(-0.871554\pi\) |
0.799897 | + | 0.600138i | \(0.204888\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.63799e11 | − | 4.56913e11i | 0.509475 | − | 0.882437i | −0.490464 | − | 0.871461i | \(-0.663173\pi\) |
0.999940 | − | 0.0109760i | \(-0.00349385\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.19670e11 | − | 2.07274e11i | −0.226002 | − | 0.391446i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.34223e10 | 0.0247901 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.11334e11 | −0.562407 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.48436e10 | − | 7.76714e10i | −0.0792402 | − | 0.137248i | 0.823682 | − | 0.567052i | \(-0.191916\pi\) |
−0.902922 | + | 0.429804i | \(0.858583\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.06123e11 | − | 1.83810e11i | 0.183452 | − | 0.317747i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.18472e9 | + | 5.51610e9i | −0.00527054 | + | 0.00912884i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −5.52120e11 | − | 9.56300e11i | −0.894173 | − | 1.54875i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −9.26538e11 | −1.46859 | −0.734294 | − | 0.678831i | \(-0.762487\pi\) | ||||
−0.734294 | + | 0.678831i | \(0.762487\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.22692e12 | 1.90348 | 0.951740 | − | 0.306905i | \(-0.0992934\pi\) | ||||
0.951740 | + | 0.306905i | \(0.0992934\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −7.99727e11 | − | 1.38517e12i | −1.21453 | − | 2.10364i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.46073e11 | + | 7.72621e11i | −0.663217 | + | 1.14873i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.12144e11 | + | 1.94240e11i | −0.159852 | + | 0.276873i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.78076e11 | + | 8.28051e11i | 0.667343 | + | 1.15587i | 0.978644 | + | 0.205560i | \(0.0659016\pi\) |
−0.311302 | + | 0.950311i | \(0.600765\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.42841e10 | −0.101555 | −0.0507774 | − | 0.998710i | \(-0.516170\pi\) | ||||
−0.0507774 | + | 0.998710i | \(0.516170\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.69559e11 | −0.896577 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.81795e10 | + | 3.14878e10i | 0.0238460 | + | 0.0413025i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.32590e10 | + | 1.44209e11i | −0.106989 | + | 0.185311i | −0.914549 | − | 0.404475i | \(-0.867454\pi\) |
0.807560 | + | 0.589786i | \(0.200788\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −3.20791e11 | + | 5.55626e11i | −0.395735 | + | 0.685434i | −0.993195 | − | 0.116465i | \(-0.962844\pi\) |
0.597459 | + | 0.801899i | \(0.296177\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.03738e11 | + | 3.52885e11i | 0.246293 | + | 0.426593i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −1.94545e12 | −2.30482 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −2.77233e11 | −0.321911 | −0.160956 | − | 0.986962i | \(-0.551458\pi\) | ||||
−0.160956 | + | 0.986962i | \(0.551458\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.79145e11 | − | 4.83494e11i | −0.317714 | − | 0.550296i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −8.14547e11 | + | 1.41084e12i | −0.908813 | + | 1.57411i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.77614e11 | + | 6.54047e11i | −0.404972 | + | 0.701432i | −0.994318 | − | 0.106448i | \(-0.966052\pi\) |
0.589346 | + | 0.807881i | \(0.299385\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −8.50117e11 | − | 1.47244e12i | −0.893967 | − | 1.54840i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9.15740e11 | −0.944318 | −0.472159 | − | 0.881514i | \(-0.656525\pi\) | ||||
−0.472159 | + | 0.881514i | \(0.656525\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.35894e11 | −0.643088 | −0.321544 | − | 0.946895i | \(-0.604202\pi\) | ||||
−0.321544 | + | 0.946895i | \(0.604202\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 5.61927e11 | + | 9.73287e11i | 0.557368 | + | 0.965390i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 3.08643e11 | − | 5.34586e11i | 0.300283 | − | 0.520105i | −0.675917 | − | 0.736978i | \(-0.736252\pi\) |
0.976200 | + | 0.216872i | \(0.0695855\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.85592e11 | − | 6.67865e11i | 0.361022 | − | 0.625309i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.83809e9 | − | 6.64777e9i | −0.00352566 | − | 0.00610662i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.23458e10 | 0.0471803 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.14469e12 | −1.89684 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 1.38971e11 | + | 2.40705e11i | 0.120619 | + | 0.208918i | 0.920012 | − | 0.391891i | \(-0.128179\pi\) |
−0.799393 | + | 0.600808i | \(0.794845\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.65482e11 | + | 2.86623e11i | −0.140960 | + | 0.244151i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −8.63512e10 | + | 1.49565e11i | −0.0708648 | + | 0.122741i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.49700e11 | + | 4.32493e11i | 0.201158 | + | 0.348417i | 0.948902 | − | 0.315571i | \(-0.102196\pi\) |
−0.747743 | + | 0.663988i | \(0.768863\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 2.05545e11 | 0.162562 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.06241e12 | 1.60143 | 0.800715 | − | 0.599046i | \(-0.204453\pi\) | ||||
0.800715 | + | 0.599046i | \(0.204453\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.30297e12 | + | 2.25680e12i | 0.993395 | + | 1.72061i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.27205e11 | − | 5.66735e11i | 0.244960 | − | 0.424284i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.09561e11 | − | 1.05579e12i | 0.440113 | − | 0.762299i | −0.557584 | − | 0.830120i | \(-0.688272\pi\) |
0.997697 | + | 0.0678218i | \(0.0216049\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.62390e11 | − | 8.00883e11i | −0.327898 | − | 0.567936i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.80430e12 | −1.25676 | −0.628380 | − | 0.777906i | \(-0.716282\pi\) | ||||
−0.628380 | + | 0.777906i | \(0.716282\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.04266e12 | −0.713395 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −1.08970e12 | − | 1.88741e12i | −0.732437 | − | 1.26862i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −1.01620e11 | + | 1.76010e11i | −0.0671039 | + | 0.116227i | −0.897625 | − | 0.440759i | \(-0.854709\pi\) |
0.830521 | + | 0.556987i | \(0.188043\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.98798e10 | + | 8.63943e10i | −0.0317977 | + | 0.0550753i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.25573e11 | + | 2.17498e11i | 0.0786615 | + | 0.136246i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.50631e12 | −0.927272 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −2.34293e11 | −0.141745 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.46547e11 | − | 6.00236e11i | −0.206059 | − | 0.356905i | 0.744411 | − | 0.667722i | \(-0.232731\pi\) |
−0.950470 | + | 0.310817i | \(0.899397\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.89780e11 | + | 1.71435e12i | −0.578470 | + | 1.00194i | 0.417185 | + | 0.908822i | \(0.363017\pi\) |
−0.995655 | + | 0.0931181i | \(0.970317\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 2.18703e12 | − | 3.78804e12i | 1.23511 | − | 2.13928i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.50862e11 | + | 6.07712e11i | 0.194799 | + | 0.337401i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.98728e12 | 1.08476 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −5.93491e11 | −0.318524 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.24998e11 | + | 1.25573e12i | 0.382600 | + | 0.662682i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.69258e12 | − | 2.93164e12i | 0.878346 | − | 1.52134i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.47950e12 | − | 2.56256e12i | 0.742551 | − | 1.28614i | −0.208779 | − | 0.977963i | \(-0.566949\pi\) |
0.951330 | − | 0.308173i | \(-0.0997177\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −2.88728e12 | − | 5.00091e12i | −1.42524 | − | 2.46860i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.00440e12 | 0.487668 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.27526e12 | 1.56424 | 0.782118 | − | 0.623130i | \(-0.214139\pi\) | ||||
0.782118 | + | 0.623130i | \(0.214139\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 5.75582e11 | + | 9.96937e11i | 0.270415 | + | 0.468373i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 7.64503e10 | − | 1.32416e11i | 0.0353343 | − | 0.0612009i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 7.77044e11 | − | 1.34588e12i | 0.347638 | − | 0.602127i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 1.88202e12 | + | 3.25976e12i | 0.828470 | + | 1.43495i | 0.899238 | + | 0.437459i | \(0.144122\pi\) |
−0.0707685 | + | 0.997493i | \(0.522545\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.16017e9 | −0.00353465 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.09899e12 | −1.74721 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 1.17493e12 | + | 2.03505e12i | 0.492863 | + | 0.853663i | 0.999966 | − | 0.00822214i | \(-0.00261722\pi\) |
−0.507104 | + | 0.861885i | \(0.669284\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.84031e11 | − | 8.38366e11i | 0.199827 | − | 0.346111i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −1.33351e12 | + | 2.30970e12i | −0.533322 | + | 0.923742i | 0.465920 | + | 0.884827i | \(0.345723\pi\) |
−0.999243 | + | 0.0389148i | \(0.987610\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.61712e11 | + | 1.49253e12i | 0.339234 | + | 0.587571i | 0.984289 | − | 0.176565i | \(-0.0564987\pi\) |
−0.645055 | + | 0.764137i | \(0.723165\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.68576e12 | 1.42834 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.58284e12 | −0.603853 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.79282e11 | + | 1.34976e12i | 0.292687 | + | 0.506949i | 0.974444 | − | 0.224630i | \(-0.0721172\pi\) |
−0.681757 | + | 0.731579i | \(0.738784\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −2.05415e11 | + | 3.55789e11i | −0.0759589 | + | 0.131565i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.00990e12 | + | 1.74919e12i | −0.362050 | + | 0.627089i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.47835e11 | − | 6.02468e11i | −0.122793 | − | 0.212683i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 2.16623e12 | 0.753065 | 0.376533 | − | 0.926403i | \(-0.377116\pi\) | ||||
0.376533 | + | 0.926403i | \(0.377116\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.56643e11 | −0.0878641 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.13156e12 | − | 3.69197e12i | −0.718711 | − | 1.24484i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 1.78122e12 | − | 3.08516e12i | 0.591522 | − | 1.02455i | −0.402505 | − | 0.915418i | \(-0.631861\pi\) |
0.994028 | − | 0.109129i | \(-0.0348061\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −3.30475e12 | + | 5.72399e12i | −1.06476 | + | 1.84423i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −7.72034e11 | − | 1.33720e12i | −0.245028 | − | 0.424401i | 0.717111 | − | 0.696959i | \(-0.245464\pi\) |
−0.962140 | + | 0.272557i | \(0.912131\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.05277e12 | 0.329155 | 0.164577 | − | 0.986364i | \(-0.447374\pi\) | ||||
0.164577 | + | 0.986364i | \(0.447374\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 5.87046e12 | 1.80819 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 4.77046e11 | + | 8.26268e11i | 0.144764 | + | 0.250739i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.23735e12 | + | 3.87521e12i | −0.668937 | + | 1.15863i | 0.309264 | + | 0.950976i | \(0.399917\pi\) |
−0.978202 | + | 0.207657i | \(0.933416\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −8.00643e11 | + | 1.38675e12i | −0.232409 | + | 0.402544i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.00931e12 | + | 5.21227e12i | 0.860785 | + | 1.49092i | 0.871173 | + | 0.490977i | \(0.163360\pi\) |
−0.0103881 | + | 0.999946i | \(0.503307\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 2.78683e12 | 0.785547 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.16191e12 | 0.600557 | 0.300278 | − | 0.953852i | \(-0.402920\pi\) | ||||
0.300278 | + | 0.953852i | \(0.402920\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.08462e12 | − | 3.61066e12i | −0.570714 | − | 0.988506i | −0.996493 | − | 0.0836784i | \(-0.973333\pi\) |
0.425779 | − | 0.904827i | \(-0.360000\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.50827e12 | − | 2.61240e12i | 0.406974 | − | 0.704899i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.06239e11 | + | 1.22324e12i | −0.185136 | + | 0.320666i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.20252e11 | + | 2.08283e11i | 0.0310734 | + | 0.0538208i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −6.04853e12 | −1.54071 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.10037e12 | 1.02965 | 0.514826 | − | 0.857295i | \(-0.327857\pi\) | ||||
0.514826 | + | 0.857295i | \(0.327857\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −2.25708e12 | − | 3.90938e12i | −0.558767 | − | 0.967813i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −8.11452e11 | + | 1.40548e12i | −0.198053 | + | 0.343038i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −1.46816e12 | + | 2.54293e12i | −0.348353 | + | 0.603365i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −9.35938e11 | − | 1.62109e12i | −0.218971 | − | 0.379268i | 0.735523 | − | 0.677500i | \(-0.236937\pi\) |
−0.954494 | + | 0.298231i | \(0.903603\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.34166e12 | 0.309524 | 0.154762 | − | 0.987952i | \(-0.450539\pi\) | ||||
0.154762 | + | 0.987952i | \(0.450539\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.83173e10 | 0.00871719 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.47184e12 | − | 4.28135e12i | −0.554562 | − | 0.960530i | −0.997937 | − | 0.0641941i | \(-0.979552\pi\) |
0.443375 | − | 0.896336i | \(-0.353781\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9.35776e11 | − | 1.62081e12i | 0.207048 | − | 0.358618i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −1.33570e12 | + | 2.31349e12i | −0.287474 | + | 0.497919i | −0.973206 | − | 0.229935i | \(-0.926149\pi\) |
0.685732 | + | 0.727854i | \(0.259482\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.77382e11 | − | 8.26849e11i | −0.101340 | − | 0.175526i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 8.49447e12 | 1.77866 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 5.50089e12 | 1.13618 | 0.568092 | − | 0.822965i | \(-0.307682\pi\) | ||||
0.568092 | + | 0.822965i | \(0.307682\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.34684e11 | + | 9.26099e11i | 0.108941 | + | 0.188691i | 0.915341 | − | 0.402679i | \(-0.131921\pi\) |
−0.806401 | + | 0.591370i | \(0.798587\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.17872e12 | + | 3.77365e12i | −0.437915 | + | 0.758492i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.31171e12 | + | 4.00400e12i | −0.452238 | + | 0.783299i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 7.73796e12 | + | 1.34025e13i | 1.49351 | + | 2.58684i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.08413e12 | 0.206457 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.96567e12 | −0.933062 | −0.466531 | − | 0.884505i | \(-0.654496\pi\) | ||||
−0.466531 | + | 0.884505i | \(0.654496\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.17144e12 | − | 3.76105e12i | −0.402607 | − | 0.697336i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −1.37870e12 | + | 2.38797e12i | −0.252243 | + | 0.436898i | −0.964143 | − | 0.265383i | \(-0.914502\pi\) |
0.711900 | + | 0.702281i | \(0.247835\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −6.21991e12 | + | 1.07732e13i | −1.10821 | + | 1.91947i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.52764e12 | + | 4.37800e12i | 0.444449 | + | 0.769809i | 0.998014 | − | 0.0629978i | \(-0.0200661\pi\) |
−0.553564 | + | 0.832806i | \(0.686733\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.19982e11 | 0.107590 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 1.05781e13 | 1.81177 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.07357e12 | + | 1.85948e12i | 0.181487 | + | 0.314344i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.27707e12 | + | 2.21195e12i | −0.213090 | + | 0.369083i | −0.952680 | − | 0.303975i | \(-0.901686\pi\) |
0.739590 | + | 0.673058i | \(0.235020\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 1.61277e12 | − | 2.79340e12i | 0.262205 | − | 0.454153i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.42318e12 | − | 9.39323e12i | −0.870375 | − | 1.50753i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 8.92367e10 | 0.0141383 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −8.11552e12 | −1.26936 | −0.634681 | − | 0.772774i | \(-0.718868\pi\) | ||||
−0.634681 | + | 0.772774i | \(0.718868\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.77446e11 | + | 3.07345e11i | 0.0274010 | + | 0.0474600i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.75954e12 | − | 6.51171e12i | 0.573170 | − | 0.992760i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.02197e12 | − | 1.77010e12i | 0.151890 | − | 0.263082i | −0.780032 | − | 0.625740i | \(-0.784797\pi\) |
0.931922 | + | 0.362658i | \(0.118131\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.88158e12 | + | 3.25899e12i | 0.276127 | + | 0.478266i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 7.76041e12 | 1.12456 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.55159e11 | −0.0937496 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1.03345e13 | + | 1.78999e13i | 1.46034 | + | 2.52939i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 6.21157e12 | − | 1.07587e13i | 0.866804 | − | 1.50135i | 0.00156016 | − | 0.999999i | \(-0.499503\pi\) |
0.865244 | − | 0.501351i | \(-0.167163\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 7.72536e12 | − | 1.33807e13i | 1.05147 | − | 1.82120i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 3.32815e12 | + | 5.76453e12i | 0.447386 | + | 0.774895i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 5.37434e12 | 0.713543 | 0.356771 | − | 0.934192i | \(-0.383878\pi\) | ||||
0.356771 | + | 0.934192i | \(0.383878\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.22598e13 | −1.60771 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7.45657e10 | − | 1.29152e11i | −0.00965853 | − | 0.0167291i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.43088e10 | − | 1.11386e11i | 0.00822815 | − | 0.0142516i | −0.861882 | − | 0.507109i | \(-0.830714\pi\) |
0.870110 | + | 0.492857i | \(0.164048\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 2.76430e12 | − | 4.78791e12i | 0.345129 | − | 0.597781i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.83629e12 | − | 1.18408e13i | −0.843181 | − | 1.46043i | −0.887192 | − | 0.461401i | \(-0.847347\pi\) |
0.0440106 | − | 0.999031i | \(-0.485986\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.55668e11 | 0.0311527 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.31581e13 | 1.58396 | 0.791981 | − | 0.610546i | \(-0.209050\pi\) | ||||
0.791981 | + | 0.610546i | \(0.209050\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.84139e12 | − | 4.92143e12i | −0.337930 | − | 0.585313i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.54459e11 | + | 2.67531e11i | −0.0181497 | + | 0.0314363i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.04341e12 | − | 1.80724e12i | 0.119695 | − | 0.207317i | −0.799952 | − | 0.600064i | \(-0.795142\pi\) |
0.919647 | + | 0.392747i | \(0.128475\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −6.23765e12 | − | 1.08039e13i | −0.707040 | − | 1.22463i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −4.75867e12 | −0.532997 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.54660e12 | 0.613897 | 0.306948 | − | 0.951726i | \(-0.400692\pi\) | ||||
0.306948 | + | 0.951726i | \(0.400692\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −3.63620e12 | − | 6.29808e12i | −0.397704 | − | 0.688843i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.67255e11 | + | 9.82514e11i | −0.0613123 | + | 0.106196i | −0.895052 | − | 0.445961i | \(-0.852862\pi\) |
0.833740 | + | 0.552157i | \(0.186195\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 6.35687e12 | − | 1.10104e13i | 0.671068 | − | 1.16232i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −9.94777e11 | − | 1.72301e12i | −0.103788 | − | 0.179766i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.61602e12 | 0.269757 | 0.134878 | − | 0.990862i | \(-0.456936\pi\) | ||||
0.134878 | + | 0.990862i | \(0.456936\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −7.77252e12 | −0.792167 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.66577e10 | − | 4.61725e10i | −0.00268544 | − | 0.00465132i | 0.864680 | − | 0.502324i | \(-0.167521\pi\) |
−0.867365 | + | 0.497673i | \(0.834188\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.58630e12 | − | 9.67575e12i | 0.556246 | − | 0.963445i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.18200e11 | + | 5.51138e11i | −0.0309586 | + | 0.0536219i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.38266e12 | + | 2.39485e12i | 0.132980 | + | 0.230329i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.26854e13 | −1.20608 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.25267e12 | 0.211731 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.65392e12 | − | 2.86467e12i | −0.153683 | − | 0.266187i | 0.778895 | − | 0.627154i | \(-0.215780\pi\) |
−0.932579 | + | 0.360966i | \(0.882447\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −8.17791e12 | + | 1.41646e13i | −0.751270 | + | 1.30124i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.76241e11 | − | 9.98078e11i | 0.0517458 | − | 0.0896263i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −5.04112e12 | − | 8.73147e12i | −0.447584 | − | 0.775239i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 3.86873e12 | 0.339630 | 0.169815 | − | 0.985476i | \(-0.445683\pi\) | ||||
0.169815 | + | 0.985476i | \(0.445683\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.92643e13 | −2.54026 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 9.88131e12 | + | 1.71149e13i | 0.848141 | + | 1.46902i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 3.99991e12 | − | 6.92804e12i | 0.339492 | − | 0.588018i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.64036e11 | + | 4.57323e11i | −0.0219145 | + | 0.0379570i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −3.69763e12 | − | 6.40448e12i | −0.303497 | − | 0.525673i | 0.673428 | − | 0.739253i | \(-0.264821\pi\) |
−0.976926 | + | 0.213580i | \(0.931488\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.92803e12 | −0.724706 | −0.362353 | − | 0.932041i | \(-0.618026\pi\) | ||||
−0.362353 | + | 0.932041i | \(0.618026\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.83463e13 | 1.47279 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 3.00204e11 | + | 5.19969e11i | 0.0238346 | + | 0.0412827i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.37507e9 | + | 7.57785e9i | −0.000343547 | + | 0.000595040i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 5.27668e12 | − | 9.13947e12i | 0.405337 | − | 0.702065i | −0.589024 | − | 0.808116i | \(-0.700487\pi\) |
0.994361 | + | 0.106051i | \(0.0338208\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.58015e12 | + | 7.93306e12i | 0.348001 | + | 0.602756i | 0.985894 | − | 0.167369i | \(-0.0535272\pi\) |
−0.637893 | + | 0.770125i | \(0.720194\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −1.04700e13 | −0.786872 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −2.44096e13 | −1.81462 | −0.907310 | − | 0.420462i | \(-0.861868\pi\) | ||||
−0.907310 | + | 0.420462i | \(0.861868\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 4.56025e12 | + | 7.89859e12i | 0.335346 | + | 0.580837i | 0.983551 | − | 0.180629i | \(-0.0578133\pi\) |
−0.648205 | + | 0.761466i | \(0.724480\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.88834e13 | + | 3.27070e13i | −1.37365 | + | 2.37923i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.35067e12 | − | 2.33942e12i | 0.0961521 | − | 0.166540i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.06462e13 | + | 1.84398e13i | 0.749777 | + | 1.29865i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −6.07575e12 | −0.423322 | −0.211661 | − | 0.977343i | \(-0.567887\pi\) | ||||
−0.211661 | + | 0.977343i | \(0.567887\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.93572e12 | 0.340226 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 2.93182e12 | + | 5.07806e12i | 0.199946 | + | 0.346317i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 3.18306e12 | − | 5.51323e12i | 0.214778 | − | 0.372007i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −4.93763e12 | + | 8.55223e12i | −0.326163 | + | 0.564930i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −5.36562e12 | − | 9.29353e12i | −0.350701 | − | 0.607432i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.67917e13 | −1.08599 | −0.542993 | − | 0.839737i | \(-0.682709\pi\) | ||||
−0.542993 | + | 0.839737i | \(0.682709\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −7.45966e11 | −0.0477388 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1.38853e13 | − | 2.40501e13i | −0.879312 | − | 1.52301i | −0.852097 | − | 0.523384i | \(-0.824669\pi\) |
−0.0272152 | − | 0.999630i | \(-0.508664\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.27026e11 | − | 1.60566e12i | 0.0580928 | − | 0.100620i | −0.835516 | − | 0.549465i | \(-0.814831\pi\) |
0.893609 | + | 0.448846i | \(0.148165\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −4.36071e12 | + | 7.55297e12i | −0.267614 | + | 0.463521i | −0.968245 | − | 0.250003i | \(-0.919568\pi\) |
0.700631 | + | 0.713523i | \(0.252902\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.42191e11 | − | 5.92693e11i | −0.0207824 | − | 0.0359962i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −5.25964e13 | −3.16133 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.54402e12 | 0.210818 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.93859e12 | − | 5.08979e12i | −0.173005 | − | 0.299653i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −4.18803e12 | + | 7.25388e12i | −0.244031 | + | 0.422675i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.38111e13 | + | 2.39215e13i | −0.788369 | + | 1.36550i | 0.138596 | + | 0.990349i | \(0.455741\pi\) |
−0.926966 | + | 0.375146i | \(0.877592\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 5.51160e12 | + | 9.54636e12i | 0.311406 | + | 0.539372i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1.00186e13 | 0.560295 | 0.280147 | − | 0.959957i | \(-0.409617\pi\) | ||||
0.280147 | + | 0.959957i | \(0.409617\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 9.43702e12 | 0.522410 | 0.261205 | − | 0.965283i | \(-0.415880\pi\) | ||||
0.261205 | + | 0.965283i | \(0.415880\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 4.67113e12 | + | 8.09063e12i | 0.255963 | + | 0.443341i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −1.87818e12 | + | 3.25310e12i | −0.101878 | + | 0.176458i | −0.912458 | − | 0.409170i | \(-0.865818\pi\) |
0.810580 | + | 0.585627i | \(0.199152\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.06535e11 | − | 5.30934e11i | 0.0162941 | − | 0.0282222i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 8.58528e11 | + | 1.48701e12i | 0.0451776 | + | 0.0782499i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.88824e12 | 0.515128 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −7.73092e12 | −0.398718 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.63174e13 | − | 2.82626e13i | −0.833168 | − | 1.44309i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.96201e13 | + | 3.39830e13i | −0.991835 | + | 1.71791i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 8.43389e12 | − | 1.46079e13i | 0.417936 | − | 0.723886i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.18398e13 | − | 2.05070e13i | −0.580911 | − | 1.00617i | −0.995372 | − | 0.0961004i | \(-0.969363\pi\) |
0.414460 | − | 0.910067i | \(-0.363970\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5.05688e13 | −2.45666 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1.90030e13 | 0.914090 | 0.457045 | − | 0.889443i | \(-0.348908\pi\) | ||||
0.457045 | + | 0.889443i | \(0.348908\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.45464e11 | + | 2.51951e11i | 0.00692848 | + | 0.0120005i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −2.70583e12 | + | 4.68663e12i | −0.127616 | + | 0.221037i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.78496e12 | + | 4.82369e12i | −0.128795 | + | 0.223079i | −0.923210 | − | 0.384296i | \(-0.874444\pi\) |
0.794415 | + | 0.607375i | \(0.207778\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −1.57286e13 | − | 2.72428e13i | −0.720316 | − | 1.24762i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.93968e12 | 0.133319 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.54497e13 | −0.693876 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 6.09027e12 | + | 1.05487e13i | 0.270880 | + | 0.469179i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 1.77147e13 | − | 3.06827e13i | 0.780301 | − | 1.35152i | −0.151465 | − | 0.988463i | \(-0.548399\pi\) |
0.931766 | − | 0.363059i | \(-0.118268\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 2.33075e13 | − | 4.03697e13i | 1.00700 | − | 1.74417i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −5.98669e12 | − | 1.03692e13i | −0.256174 | − | 0.443706i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.45592e13 | 1.04084 | 0.520422 | − | 0.853909i | \(-0.325775\pi\) | ||||
0.520422 | + | 0.853909i | \(0.325775\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −3.97140e13 | −1.66705 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 1.00258e13 | + | 1.73652e13i | 0.416838 | + | 0.721984i | 0.995619 | − | 0.0934986i | \(-0.0298051\pi\) |
−0.578782 | + | 0.815482i | \(0.696472\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 9.62176e12 | − | 1.66654e13i | 0.396234 | − | 0.686297i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 7.56476e12 | − | 1.31025e13i | 0.305647 | − | 0.529396i | −0.671758 | − | 0.740770i | \(-0.734461\pi\) |
0.977405 | + | 0.211374i | \(0.0677939\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.25210e12 | − | 7.36486e12i | −0.170179 | − | 0.294759i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1.92083e13 | 0.761510 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 2.18751e13 | 0.859075 | 0.429538 | − | 0.903049i | \(-0.358677\pi\) | ||||
0.429538 | + | 0.903049i | \(0.358677\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.38314e12 | + | 9.32388e12i | 0.209421 | + | 0.362728i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −1.52913e13 | + | 2.64853e13i | −0.589305 | + | 1.02071i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.41690e13 | + | 2.45413e13i | −0.535898 | + | 0.928203i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 3.51624e13 | + | 6.09031e13i | 1.31753 | + | 2.28203i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.20006e12 | −0.0445480 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.32239e13 | −1.22189 | −0.610945 | − | 0.791673i | \(-0.709210\pi\) | ||||
−0.610945 | + | 0.791673i | \(0.709210\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.33624e12 | + | 4.04648e12i | 0.0851255 | + | 0.147442i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1.85715e13 | − | 3.21668e13i | 0.670441 | − | 1.16124i | −0.307338 | − | 0.951601i | \(-0.599438\pi\) |
0.977779 | − | 0.209638i | \(-0.0672285\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −5.56507e12 | + | 9.63899e12i | −0.197220 | + | 0.341594i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −7.34360e12 | − | 1.27195e13i | −0.257860 | − | 0.446626i | 0.707809 | − | 0.706404i | \(-0.249684\pi\) |
−0.965668 | + | 0.259778i | \(0.916351\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.86118e13 | 0.647538 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.87136e13 | 1.67934 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 1.09373e13 | + | 1.89439e13i | 0.373610 | + | 0.647112i | 0.990118 | − | 0.140237i | \(-0.0447865\pi\) |
−0.616508 | + | 0.787349i | \(0.711453\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.22641e12 | − | 1.07845e13i | 0.210753 | − | 0.365035i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1.32294e11 | − | 2.29140e11i | 0.00439700 | − | 0.00761582i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.10044e13 | − | 3.63808e13i | −0.691799 | − | 1.19823i | −0.971248 | − | 0.238070i | \(-0.923485\pi\) |
0.279449 | − | 0.960160i | \(-0.409848\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 6.58411e13 | 2.14895 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.93067e13 | −0.624458 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.34852e12 | + | 2.33571e12i | 0.0432245 | + | 0.0748670i | 0.886828 | − | 0.462099i | \(-0.152904\pi\) |
−0.843604 | + | 0.536966i | \(0.819570\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.47218e13 | − | 2.54990e13i | 0.467646 | − | 0.809987i |
(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 | 196.10.e.b.177.1 | 2 | ||
7.2 | even | 3 | 196.10.a.a.1.1 | 1 | |||
7.3 | odd | 6 | 196.10.e.a.165.1 | 2 | |||
7.4 | even | 3 | inner | 196.10.e.b.165.1 | 2 | ||
7.5 | odd | 6 | 4.10.a.a.1.1 | ✓ | 1 | ||
7.6 | odd | 2 | 196.10.e.a.177.1 | 2 | |||
21.5 | even | 6 | 36.10.a.b.1.1 | 1 | |||
28.19 | even | 6 | 16.10.a.a.1.1 | 1 | |||
35.12 | even | 12 | 100.10.c.a.49.1 | 2 | |||
35.19 | odd | 6 | 100.10.a.a.1.1 | 1 | |||
35.33 | even | 12 | 100.10.c.a.49.2 | 2 | |||
56.5 | odd | 6 | 64.10.a.a.1.1 | 1 | |||
56.19 | even | 6 | 64.10.a.i.1.1 | 1 | |||
63.5 | even | 6 | 324.10.e.b.217.1 | 2 | |||
63.40 | odd | 6 | 324.10.e.e.217.1 | 2 | |||
63.47 | even | 6 | 324.10.e.b.109.1 | 2 | |||
63.61 | odd | 6 | 324.10.e.e.109.1 | 2 | |||
84.47 | odd | 6 | 144.10.a.j.1.1 | 1 | |||
112.5 | odd | 12 | 256.10.b.j.129.1 | 2 | |||
112.19 | even | 12 | 256.10.b.b.129.1 | 2 | |||
112.61 | odd | 12 | 256.10.b.j.129.2 | 2 | |||
112.75 | even | 12 | 256.10.b.b.129.2 | 2 | |||
140.19 | even | 6 | 400.10.a.k.1.1 | 1 | |||
140.47 | odd | 12 | 400.10.c.a.49.2 | 2 | |||
140.103 | odd | 12 | 400.10.c.a.49.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
4.10.a.a.1.1 | ✓ | 1 | 7.5 | odd | 6 | ||
16.10.a.a.1.1 | 1 | 28.19 | even | 6 | |||
36.10.a.b.1.1 | 1 | 21.5 | even | 6 | |||
64.10.a.a.1.1 | 1 | 56.5 | odd | 6 | |||
64.10.a.i.1.1 | 1 | 56.19 | even | 6 | |||
100.10.a.a.1.1 | 1 | 35.19 | odd | 6 | |||
100.10.c.a.49.1 | 2 | 35.12 | even | 12 | |||
100.10.c.a.49.2 | 2 | 35.33 | even | 12 | |||
144.10.a.j.1.1 | 1 | 84.47 | odd | 6 | |||
196.10.a.a.1.1 | 1 | 7.2 | even | 3 | |||
196.10.e.a.165.1 | 2 | 7.3 | odd | 6 | |||
196.10.e.a.177.1 | 2 | 7.6 | odd | 2 | |||
196.10.e.b.165.1 | 2 | 7.4 | even | 3 | inner | ||
196.10.e.b.177.1 | 2 | 1.1 | even | 1 | trivial | ||
256.10.b.b.129.1 | 2 | 112.19 | even | 12 | |||
256.10.b.b.129.2 | 2 | 112.75 | even | 12 | |||
256.10.b.j.129.1 | 2 | 112.5 | odd | 12 | |||
256.10.b.j.129.2 | 2 | 112.61 | odd | 12 | |||
324.10.e.b.109.1 | 2 | 63.47 | even | 6 | |||
324.10.e.b.217.1 | 2 | 63.5 | even | 6 | |||
324.10.e.e.109.1 | 2 | 63.61 | odd | 6 | |||
324.10.e.e.217.1 | 2 | 63.40 | odd | 6 | |||
400.10.a.k.1.1 | 1 | 140.19 | even | 6 | |||
400.10.c.a.49.1 | 2 | 140.103 | odd | 12 | |||
400.10.c.a.49.2 | 2 | 140.47 | odd | 12 |