Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [10,11,Mod(3,10)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(10, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("10.3");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 10 = 2 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 10.c (of order \(4\), degree \(2\), 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: | \(6.35357252674\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{6} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 1148x^{3} + 68121x^{2} - 299628x + 658952 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 2^{8}\cdot 5^{6} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Root | \(10.1043 + 10.1043i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 10.7 |
Dual form | 10.11.c.c.3.2 |
$q$-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 \(\left(\mathbb{Z}/10\mathbb{Z}\right)^\times\).
\(n\) | \(7\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −16.0000 | − | 16.0000i | −0.500000 | − | 0.500000i | ||||
\(3\) | 4.29207 | − | 4.29207i | 0.0176629 | − | 0.0176629i | −0.698220 | − | 0.715883i | \(-0.746024\pi\) |
0.715883 | + | 0.698220i | \(0.246024\pi\) | |||||||
\(4\) | 512.000i | 0.500000i | ||||||||
\(5\) | −2978.33 | − | 946.124i | −0.953067 | − | 0.302760i | ||||
\(6\) | −137.346 | −0.0176629 | ||||||||
\(7\) | 21284.7 | + | 21284.7i | 1.26642 | + | 1.26642i | 0.947926 | + | 0.318492i | \(0.103176\pi\) |
0.318492 | + | 0.947926i | \(0.396824\pi\) | |||||||
\(8\) | 8192.00 | − | 8192.00i | 0.250000 | − | 0.250000i | ||||
\(9\) | 59012.2i | 0.999376i | ||||||||
\(10\) | 32515.4 | + | 62791.3i | 0.325154 | + | 0.627913i | ||||
\(11\) | 155649. | 0.966456 | 0.483228 | − | 0.875495i | \(-0.339464\pi\) | ||||
0.483228 | + | 0.875495i | \(0.339464\pi\) | |||||||
\(12\) | 2197.54 | + | 2197.54i | 0.00883143 | + | 0.00883143i | ||||
\(13\) | −358614. | + | 358614.i | −0.965853 | + | 0.965853i | −0.999436 | − | 0.0335834i | \(-0.989308\pi\) |
0.0335834 | + | 0.999436i | \(0.489308\pi\) | |||||||
\(14\) | − | 681110.i | − | 1.26642i | ||||||
\(15\) | −16844.1 | + | 8722.40i | −0.0221815 | + | 0.0114863i | ||||
\(16\) | −262144. | −0.250000 | ||||||||
\(17\) | −609397. | − | 609397.i | −0.429196 | − | 0.429196i | 0.459158 | − | 0.888354i | \(-0.348151\pi\) |
−0.888354 | + | 0.459158i | \(0.848151\pi\) | |||||||
\(18\) | 944194. | − | 944194.i | 0.499688 | − | 0.499688i | ||||
\(19\) | 335226.i | 0.135385i | 0.997706 | + | 0.0676924i | \(0.0215637\pi\) | ||||
−0.997706 | + | 0.0676924i | \(0.978436\pi\) | |||||||
\(20\) | 484415. | − | 1.52491e6i | 0.151380 | − | 0.476533i | ||||
\(21\) | 182711. | 0.0447371 | ||||||||
\(22\) | −2.49038e6 | − | 2.49038e6i | −0.483228 | − | 0.483228i | ||||
\(23\) | −5.50132e6 | + | 5.50132e6i | −0.854727 | + | 0.854727i | −0.990711 | − | 0.135984i | \(-0.956580\pi\) |
0.135984 | + | 0.990711i | \(0.456580\pi\) | |||||||
\(24\) | − | 70321.3i | − | 0.00883143i | ||||||
\(25\) | 7.97532e6 | + | 5.63575e6i | 0.816673 | + | 0.577100i | ||||
\(26\) | 1.14757e7 | 0.965853 | ||||||||
\(27\) | 506727. | + | 506727.i | 0.0353147 | + | 0.0353147i | ||||
\(28\) | −1.08978e7 | + | 1.08978e7i | −0.633209 | + | 0.633209i | ||||
\(29\) | 1.33815e6i | 0.0652402i | 0.999468 | + | 0.0326201i | \(0.0103851\pi\) | ||||
−0.999468 | + | 0.0326201i | \(0.989615\pi\) | |||||||
\(30\) | 409063. | + | 129947.i | 0.0168339 | + | 0.00534760i | ||||
\(31\) | 2.59306e7 | 0.905743 | 0.452871 | − | 0.891576i | \(-0.350400\pi\) | ||||
0.452871 | + | 0.891576i | \(0.350400\pi\) | |||||||
\(32\) | 4.19430e6 | + | 4.19430e6i | 0.125000 | + | 0.125000i | ||||
\(33\) | 668055. | − | 668055.i | 0.0170704 | − | 0.0170704i | ||||
\(34\) | 1.95007e7i | 0.429196i | ||||||||
\(35\) | −4.32550e7 | − | 8.35308e7i | −0.823561 | − | 1.59040i | ||||
\(36\) | −3.02142e7 | −0.499688 | ||||||||
\(37\) | −5.50890e7 | − | 5.50890e7i | −0.794431 | − | 0.794431i | 0.187780 | − | 0.982211i | \(-0.439871\pi\) |
−0.982211 | + | 0.187780i | \(0.939871\pi\) | |||||||
\(38\) | 5.36362e6 | − | 5.36362e6i | 0.0676924 | − | 0.0676924i | ||||
\(39\) | 3.07840e6i | 0.0341194i | ||||||||
\(40\) | −3.21492e7 | + | 1.66479e7i | −0.313957 | + | 0.162577i | ||||
\(41\) | 1.37064e8 | 1.18305 | 0.591525 | − | 0.806287i | \(-0.298526\pi\) | ||||
0.591525 | + | 0.806287i | \(0.298526\pi\) | |||||||
\(42\) | −2.92337e6 | − | 2.92337e6i | −0.0223685 | − | 0.0223685i | ||||
\(43\) | −9.34290e7 | + | 9.34290e7i | −0.635535 | + | 0.635535i | −0.949451 | − | 0.313916i | \(-0.898359\pi\) |
0.313916 | + | 0.949451i | \(0.398359\pi\) | |||||||
\(44\) | 7.96921e7i | 0.483228i | ||||||||
\(45\) | 5.58328e7 | − | 1.75758e8i | 0.302571 | − | 0.952472i | ||||
\(46\) | 1.76042e8 | 0.854727 | ||||||||
\(47\) | 1.14979e8 | + | 1.14979e8i | 0.501334 | + | 0.501334i | 0.911852 | − | 0.410518i | \(-0.134652\pi\) |
−0.410518 | + | 0.911852i | \(0.634652\pi\) | |||||||
\(48\) | −1.12514e6 | + | 1.12514e6i | −0.00441571 | + | 0.00441571i | ||||
\(49\) | 6.23600e8i | 2.20763i | ||||||||
\(50\) | −3.74333e7 | − | 2.17777e8i | −0.119786 | − | 0.696887i | ||||
\(51\) | −5.23115e6 | −0.0151616 | ||||||||
\(52\) | −1.83611e8 | − | 1.83611e8i | −0.482926 | − | 0.482926i | ||||
\(53\) | −2.29978e7 | + | 2.29978e7i | −0.0549930 | + | 0.0549930i | −0.734068 | − | 0.679075i | \(-0.762381\pi\) |
0.679075 | + | 0.734068i | \(0.262381\pi\) | |||||||
\(54\) | − | 1.62153e7i | − | 0.0353147i | ||||||
\(55\) | −4.63574e8 | − | 1.47263e8i | −0.921097 | − | 0.292604i | ||||
\(56\) | 3.48728e8 | 0.633209 | ||||||||
\(57\) | 1.43882e6 | + | 1.43882e6i | 0.00239128 | + | 0.00239128i | ||||
\(58\) | 2.14104e7 | − | 2.14104e7i | 0.0326201 | − | 0.0326201i | ||||
\(59\) | − | 8.73535e8i | − | 1.22186i | −0.791686 | − | 0.610929i | \(-0.790796\pi\) | ||
0.791686 | − | 0.610929i | \(-0.209204\pi\) | |||||||
\(60\) | −4.46587e6 | − | 8.62416e6i | −0.00574314 | − | 0.0110907i | ||||
\(61\) | 5.87905e8 | 0.696079 | 0.348039 | − | 0.937480i | \(-0.386848\pi\) | ||||
0.348039 | + | 0.937480i | \(0.386848\pi\) | |||||||
\(62\) | −4.14890e8 | − | 4.14890e8i | −0.452871 | − | 0.452871i | ||||
\(63\) | −1.25605e9 | + | 1.25605e9i | −1.26563 | + | 1.26563i | ||||
\(64\) | − | 1.34218e8i | − | 0.125000i | ||||||
\(65\) | 1.40737e9 | − | 7.28780e8i | 1.21294 | − | 0.628101i | ||||
\(66\) | −2.13778e7 | −0.0170704 | ||||||||
\(67\) | −6.75197e8 | − | 6.75197e8i | −0.500100 | − | 0.500100i | 0.411369 | − | 0.911469i | \(-0.365051\pi\) |
−0.911469 | + | 0.411369i | \(0.865051\pi\) | |||||||
\(68\) | 3.12011e8 | − | 3.12011e8i | 0.214598 | − | 0.214598i | ||||
\(69\) | 4.72241e7i | 0.0301938i | ||||||||
\(70\) | −6.44414e8 | + | 2.02857e9i | −0.383420 | + | 1.20698i | ||||
\(71\) | −5.54597e8 | −0.307387 | −0.153694 | − | 0.988119i | \(-0.549117\pi\) | ||||
−0.153694 | + | 0.988119i | \(0.549117\pi\) | |||||||
\(72\) | 4.83428e8 | + | 4.83428e8i | 0.249844 | + | 0.249844i | ||||
\(73\) | 8.91747e8 | − | 8.91747e8i | 0.430158 | − | 0.430158i | −0.458524 | − | 0.888682i | \(-0.651622\pi\) |
0.888682 | + | 0.458524i | \(0.151622\pi\) | |||||||
\(74\) | 1.76285e9i | 0.794431i | ||||||||
\(75\) | 5.84197e7 | − | 1.00416e7i | 0.0246180 | − | 0.00423154i | ||||
\(76\) | −1.71636e8 | −0.0676924 | ||||||||
\(77\) | 3.31293e9 | + | 3.31293e9i | 1.22394 | + | 1.22394i | ||||
\(78\) | 4.92544e7 | − | 4.92544e7i | 0.0170597 | − | 0.0170597i | ||||
\(79\) | − | 1.69149e9i | − | 0.549711i | −0.961486 | − | 0.274856i | \(-0.911370\pi\) | ||
0.961486 | − | 0.274856i | \(-0.0886300\pi\) | |||||||
\(80\) | 7.80752e8 | + | 2.48021e8i | 0.238267 | + | 0.0756899i | ||||
\(81\) | −3.48026e9 | −0.998129 | ||||||||
\(82\) | −2.19302e9 | − | 2.19302e9i | −0.591525 | − | 0.591525i | ||||
\(83\) | 1.96163e9 | − | 1.96163e9i | 0.497996 | − | 0.497996i | −0.412818 | − | 0.910814i | \(-0.635455\pi\) |
0.910814 | + | 0.412818i | \(0.135455\pi\) | |||||||
\(84\) | 9.35479e7i | 0.0223685i | ||||||||
\(85\) | 1.23842e9 | + | 2.39155e9i | 0.279109 | + | 0.538996i | ||||
\(86\) | 2.98973e9 | 0.635535 | ||||||||
\(87\) | 5.74345e6 | + | 5.74345e6i | 0.00115233 | + | 0.00115233i | ||||
\(88\) | 1.27507e9 | − | 1.27507e9i | 0.241614 | − | 0.241614i | ||||
\(89\) | − | 7.73241e9i | − | 1.38473i | −0.721548 | − | 0.692364i | \(-0.756569\pi\) | ||
0.721548 | − | 0.692364i | \(-0.243431\pi\) | |||||||
\(90\) | −3.70545e9 | + | 1.91880e9i | −0.627521 | + | 0.324951i | ||||
\(91\) | −1.52660e10 | −2.44635 | ||||||||
\(92\) | −2.81667e9 | − | 2.81667e9i | −0.427363 | − | 0.427363i | ||||
\(93\) | 1.11296e8 | − | 1.11296e8i | 0.0159980 | − | 0.0159980i | ||||
\(94\) | − | 3.67931e9i | − | 0.501334i | ||||||
\(95\) | 3.17166e8 | − | 9.98416e8i | 0.0409891 | − | 0.129031i | ||||
\(96\) | 3.60045e7 | 0.00441571 | ||||||||
\(97\) | 1.16280e10 | + | 1.16280e10i | 1.35408 | + | 1.35408i | 0.881041 | + | 0.473039i | \(0.156843\pi\) |
0.473039 | + | 0.881041i | \(0.343157\pi\) | |||||||
\(98\) | 9.97760e9 | − | 9.97760e9i | 1.10381 | − | 1.10381i | ||||
\(99\) | 9.18516e9i | 0.965853i | ||||||||
\(100\) | −2.88550e9 | + | 4.08337e9i | −0.288550 | + | 0.408337i | ||||
\(101\) | 5.61787e9 | 0.534521 | 0.267261 | − | 0.963624i | \(-0.413882\pi\) | ||||
0.267261 | + | 0.963624i | \(0.413882\pi\) | |||||||
\(102\) | 8.36984e7 | + | 8.36984e7i | 0.00758082 | + | 0.00758082i | ||||
\(103\) | −2.18562e9 | + | 2.18562e9i | −0.188533 | + | 0.188533i | −0.795062 | − | 0.606528i | \(-0.792562\pi\) |
0.606528 | + | 0.795062i | \(0.292562\pi\) | |||||||
\(104\) | 5.87554e9i | 0.482926i | ||||||||
\(105\) | −5.44174e8 | − | 1.72867e8i | −0.0426374 | − | 0.0135446i | ||||
\(106\) | 7.35930e8 | 0.0549930 | ||||||||
\(107\) | 3.43225e9 | + | 3.43225e9i | 0.244715 | + | 0.244715i | 0.818797 | − | 0.574083i | \(-0.194641\pi\) |
−0.574083 | + | 0.818797i | \(0.694641\pi\) | |||||||
\(108\) | −2.59444e8 | + | 2.59444e8i | −0.0176573 | + | 0.0176573i | ||||
\(109\) | − | 1.91176e9i | − | 0.124251i | −0.998068 | − | 0.0621257i | \(-0.980212\pi\) | ||
0.998068 | − | 0.0621257i | \(-0.0197880\pi\) | |||||||
\(110\) | 5.06097e9 | + | 9.77338e9i | 0.314247 | + | 0.606850i | ||||
\(111\) | −4.72892e8 | −0.0280638 | ||||||||
\(112\) | −5.57965e9 | − | 5.57965e9i | −0.316604 | − | 0.316604i | ||||
\(113\) | −1.03160e10 | + | 1.03160e10i | −0.559913 | + | 0.559913i | −0.929283 | − | 0.369369i | \(-0.879574\pi\) |
0.369369 | + | 0.929283i | \(0.379574\pi\) | |||||||
\(114\) | − | 4.60421e7i | − | 0.00239128i | ||||||
\(115\) | 2.15897e10 | − | 1.11798e10i | 1.07339 | − | 0.555835i | ||||
\(116\) | −6.85134e8 | −0.0326201 | ||||||||
\(117\) | −2.11626e10 | − | 2.11626e10i | −0.965250 | − | 0.965250i | ||||
\(118\) | −1.39766e10 | + | 1.39766e10i | −0.610929 | + | 0.610929i | ||||
\(119\) | − | 2.59416e10i | − | 1.08708i | ||||||
\(120\) | −6.65327e7 | + | 2.09440e8i | −0.00267380 | + | 0.00841694i | ||||
\(121\) | −1.71093e9 | −0.0659637 | ||||||||
\(122\) | −9.40649e9 | − | 9.40649e9i | −0.348039 | − | 0.348039i | ||||
\(123\) | 5.88287e8 | − | 5.88287e8i | 0.0208960 | − | 0.0208960i | ||||
\(124\) | 1.32765e10i | 0.452871i | ||||||||
\(125\) | −1.84211e10 | − | 2.43308e10i | −0.603622 | − | 0.797271i | ||||
\(126\) | 4.01938e10 | 1.26563 | ||||||||
\(127\) | 1.03805e10 | + | 1.03805e10i | 0.314197 | + | 0.314197i | 0.846533 | − | 0.532336i | \(-0.178686\pi\) |
−0.532336 | + | 0.846533i | \(0.678686\pi\) | |||||||
\(128\) | −2.14748e9 | + | 2.14748e9i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | 8.02008e8i | 0.0224507i | ||||||||
\(130\) | −3.41783e10 | − | 1.08574e10i | −0.920522 | − | 0.292421i | ||||
\(131\) | 3.92446e10 | 1.01724 | 0.508620 | − | 0.860991i | \(-0.330156\pi\) | ||||
0.508620 | + | 0.860991i | \(0.330156\pi\) | |||||||
\(132\) | 3.42044e8 | + | 3.42044e8i | 0.00853518 | + | 0.00853518i | ||||
\(133\) | −7.13519e9 | + | 7.13519e9i | −0.171454 | + | 0.171454i | ||||
\(134\) | 2.16063e10i | 0.500100i | ||||||||
\(135\) | −1.02978e9 | − | 1.98863e9i | −0.0229654 | − | 0.0443491i | ||||
\(136\) | −9.98436e9 | −0.214598 | ||||||||
\(137\) | −2.09208e9 | − | 2.09208e9i | −0.0433487 | − | 0.0433487i | 0.685100 | − | 0.728449i | \(-0.259758\pi\) |
−0.728449 | + | 0.685100i | \(0.759758\pi\) | |||||||
\(138\) | 7.55585e8 | − | 7.55585e8i | 0.0150969 | − | 0.0150969i | ||||
\(139\) | 4.81051e10i | 0.927079i | 0.886076 | + | 0.463539i | \(0.153421\pi\) | ||||
−0.886076 | + | 0.463539i | \(0.846579\pi\) | |||||||
\(140\) | 4.27678e10 | − | 2.21465e10i | 0.795200 | − | 0.411780i | ||||
\(141\) | 9.86993e8 | 0.0177100 | ||||||||
\(142\) | 8.87356e9 | + | 8.87356e9i | 0.153694 | + | 0.153694i | ||||
\(143\) | −5.58178e10 | + | 5.58178e10i | −0.933454 | + | 0.933454i | ||||
\(144\) | − | 1.54697e10i | − | 0.249844i | ||||||
\(145\) | 1.26606e9 | − | 3.98546e9i | 0.0197521 | − | 0.0621783i | ||||
\(146\) | −2.85359e10 | −0.430158 | ||||||||
\(147\) | 2.67654e9 | + | 2.67654e9i | 0.0389930 | + | 0.0389930i | ||||
\(148\) | 2.82056e10 | − | 2.82056e10i | 0.397216 | − | 0.397216i | ||||
\(149\) | 1.07411e11i | 1.46258i | 0.682069 | + | 0.731288i | \(0.261080\pi\) | ||||
−0.682069 | + | 0.731288i | \(0.738920\pi\) | |||||||
\(150\) | −1.09538e9 | − | 7.74049e8i | −0.0144248 | − | 0.0101932i | ||||
\(151\) | 1.45457e11 | 1.85290 | 0.926448 | − | 0.376423i | \(-0.122846\pi\) | ||||
0.926448 | + | 0.376423i | \(0.122846\pi\) | |||||||
\(152\) | 2.74617e9 | + | 2.74617e9i | 0.0338462 | + | 0.0338462i | ||||
\(153\) | 3.59618e10 | − | 3.59618e10i | 0.428928 | − | 0.428928i | ||||
\(154\) | − | 1.06014e11i | − | 1.22394i | ||||||
\(155\) | −7.72301e10 | − | 2.45336e10i | −0.863233 | − | 0.274222i | ||||
\(156\) | −1.57614e9 | −0.0170597 | ||||||||
\(157\) | −6.08807e10 | − | 6.08807e10i | −0.638236 | − | 0.638236i | 0.311884 | − | 0.950120i | \(-0.399040\pi\) |
−0.950120 | + | 0.311884i | \(0.899040\pi\) | |||||||
\(158\) | −2.70639e10 | + | 2.70639e10i | −0.274856 | + | 0.274856i | ||||
\(159\) | 1.97417e8i | 0.00194267i | ||||||||
\(160\) | −8.52371e9 | − | 1.64604e10i | −0.0812884 | − | 0.156978i | ||||
\(161\) | −2.34187e11 | −2.16488 | ||||||||
\(162\) | 5.56841e10 | + | 5.56841e10i | 0.499064 | + | 0.499064i | ||||
\(163\) | 1.36156e11 | − | 1.36156e11i | 1.18331 | − | 1.18331i | 0.204433 | − | 0.978881i | \(-0.434465\pi\) |
0.978881 | − | 0.204433i | \(-0.0655351\pi\) | |||||||
\(164\) | 7.01766e10i | 0.591525i | ||||||||
\(165\) | −2.62175e9 | + | 1.35763e9i | −0.0214374 | + | 0.0111010i | ||||
\(166\) | −6.27721e10 | −0.497996 | ||||||||
\(167\) | 1.85724e10 | + | 1.85724e10i | 0.142983 | + | 0.142983i | 0.774975 | − | 0.631992i | \(-0.217762\pi\) |
−0.631992 | + | 0.774975i | \(0.717762\pi\) | |||||||
\(168\) | 1.49677e9 | − | 1.49677e9i | 0.0111843 | − | 0.0111843i | ||||
\(169\) | − | 1.19350e11i | − | 0.865742i | ||||||
\(170\) | 1.84501e10 | − | 5.80796e10i | 0.129943 | − | 0.409053i | ||||
\(171\) | −1.97824e10 | −0.135300 | ||||||||
\(172\) | −4.78357e10 | − | 4.78357e10i | −0.317768 | − | 0.317768i | ||||
\(173\) | −1.94731e10 | + | 1.94731e10i | −0.125662 | + | 0.125662i | −0.767141 | − | 0.641479i | \(-0.778321\pi\) |
0.641479 | + | 0.767141i | \(0.278321\pi\) | |||||||
\(174\) | − | 1.83790e8i | − | 0.00115233i | ||||||
\(175\) | 4.97972e10 | + | 2.89707e11i | 0.303399 | + | 1.76510i | ||||
\(176\) | −4.08024e10 | −0.241614 | ||||||||
\(177\) | −3.74928e9 | − | 3.74928e9i | −0.0215815 | − | 0.0215815i | ||||
\(178\) | −1.23719e11 | + | 1.23719e11i | −0.692364 | + | 0.692364i | ||||
\(179\) | − | 2.37391e11i | − | 1.29181i | −0.763418 | − | 0.645905i | \(-0.776480\pi\) | ||
0.763418 | − | 0.645905i | \(-0.223520\pi\) | |||||||
\(180\) | 8.99881e10 | + | 2.85864e10i | 0.476236 | + | 0.151285i | ||||
\(181\) | 3.32091e11 | 1.70948 | 0.854741 | − | 0.519055i | \(-0.173716\pi\) | ||||
0.854741 | + | 0.519055i | \(0.173716\pi\) | |||||||
\(182\) | 2.44256e11 | + | 2.44256e11i | 1.22317 | + | 1.22317i | ||||
\(183\) | 2.52333e9 | − | 2.52333e9i | 0.0122947 | − | 0.0122947i | ||||
\(184\) | 9.01336e10i | 0.427363i | ||||||||
\(185\) | 1.11952e11 | + | 2.16194e11i | 0.516624 | + | 0.997668i | ||||
\(186\) | −3.56148e9 | −0.0159980 | ||||||||
\(187\) | −9.48518e10 | − | 9.48518e10i | −0.414799 | − | 0.414799i | ||||
\(188\) | −5.88690e10 | + | 5.88690e10i | −0.250667 | + | 0.250667i | ||||
\(189\) | 2.15710e10i | 0.0894463i | ||||||||
\(190\) | −2.10493e10 | + | 1.09000e10i | −0.0850100 | + | 0.0440209i | ||||
\(191\) | −3.96606e11 | −1.56024 | −0.780121 | − | 0.625629i | \(-0.784843\pi\) | ||||
−0.780121 | + | 0.625629i | \(0.784843\pi\) | |||||||
\(192\) | −5.76072e8 | − | 5.76072e8i | −0.00220786 | − | 0.00220786i | ||||
\(193\) | 1.98410e11 | − | 1.98410e11i | 0.740931 | − | 0.740931i | −0.231827 | − | 0.972757i | \(-0.574470\pi\) |
0.972757 | + | 0.231827i | \(0.0744702\pi\) | |||||||
\(194\) | − | 3.72094e11i | − | 1.35408i | ||||||
\(195\) | 2.91254e9 | − | 9.16850e9i | 0.0103300 | − | 0.0325181i | ||||
\(196\) | −3.19283e11 | −1.10381 | ||||||||
\(197\) | 3.69625e10 | + | 3.69625e10i | 0.124575 | + | 0.124575i | 0.766645 | − | 0.642071i | \(-0.221924\pi\) |
−0.642071 | + | 0.766645i | \(0.721924\pi\) | |||||||
\(198\) | 1.46963e11 | − | 1.46963e11i | 0.482926 | − | 0.482926i | ||||
\(199\) | 2.65723e11i | 0.851460i | 0.904850 | + | 0.425730i | \(0.139983\pi\) | ||||
−0.904850 | + | 0.425730i | \(0.860017\pi\) | |||||||
\(200\) | 1.11502e11 | − | 1.91658e10i | 0.348443 | − | 0.0598932i | ||||
\(201\) | −5.79599e9 | −0.0176664 | ||||||||
\(202\) | −8.98860e10 | − | 8.98860e10i | −0.267261 | − | 0.267261i | ||||
\(203\) | −2.84821e10 | + | 2.84821e10i | −0.0826214 | + | 0.0826214i | ||||
\(204\) | − | 2.67835e9i | − | 0.00758082i | ||||||
\(205\) | −4.08221e11 | − | 1.29679e11i | −1.12753 | − | 0.358180i | ||||
\(206\) | 6.99398e10 | 0.188533 | ||||||||
\(207\) | −3.24644e11 | − | 3.24644e11i | −0.854194 | − | 0.854194i | ||||
\(208\) | 9.40086e10 | − | 9.40086e10i | 0.241463 | − | 0.241463i | ||||
\(209\) | 5.21775e10i | 0.130843i | ||||||||
\(210\) | 5.94091e9 | + | 1.14727e10i | 0.0145464 | + | 0.0280910i | ||||
\(211\) | 2.42678e10 | 0.0580254 | 0.0290127 | − | 0.999579i | \(-0.490764\pi\) | ||||
0.0290127 | + | 0.999579i | \(0.490764\pi\) | |||||||
\(212\) | −1.17749e10 | − | 1.17749e10i | −0.0274965 | − | 0.0274965i | ||||
\(213\) | −2.38037e9 | + | 2.38037e9i | −0.00542934 | + | 0.00542934i | ||||
\(214\) | − | 1.09832e11i | − | 0.244715i | ||||||
\(215\) | 3.66658e11 | − | 1.89867e11i | 0.798122 | − | 0.413293i | ||||
\(216\) | 8.30222e9 | 0.0176573 | ||||||||
\(217\) | 5.51925e11 | + | 5.51925e11i | 1.14705 | + | 1.14705i | ||||
\(218\) | −3.05882e10 | + | 3.05882e10i | −0.0621257 | + | 0.0621257i | ||||
\(219\) | − | 7.65489e9i | − | 0.0151956i | ||||||
\(220\) | 7.53986e10 | − | 2.37350e11i | 0.146302 | − | 0.460548i | ||||
\(221\) | 4.37077e11 | 0.829080 | ||||||||
\(222\) | 7.56627e9 | + | 7.56627e9i | 0.0140319 | + | 0.0140319i | ||||
\(223\) | −5.54639e11 | + | 5.54639e11i | −1.00574 | + | 1.00574i | −0.00575714 | + | 0.999983i | \(0.501833\pi\) |
−0.999983 | + | 0.00575714i | \(0.998167\pi\) | |||||||
\(224\) | 1.78549e11i | 0.316604i | ||||||||
\(225\) | −3.32578e11 | + | 4.70641e11i | −0.576740 | + | 0.816164i | ||||
\(226\) | 3.30113e11 | 0.559913 | ||||||||
\(227\) | −1.00918e11 | − | 1.00918e11i | −0.167432 | − | 0.167432i | 0.618418 | − | 0.785850i | \(-0.287774\pi\) |
−0.785850 | + | 0.618418i | \(0.787774\pi\) | |||||||
\(228\) | −7.36674e8 | + | 7.36674e8i | −0.00119564 | + | 0.00119564i | ||||
\(229\) | 3.19107e11i | 0.506709i | 0.967373 | + | 0.253355i | \(0.0815340\pi\) | ||||
−0.967373 | + | 0.253355i | \(0.918466\pi\) | |||||||
\(230\) | −5.24312e11 | − | 1.66558e11i | −0.814612 | − | 0.258777i | ||||
\(231\) | 2.84387e10 | 0.0432364 | ||||||||
\(232\) | 1.09621e10 | + | 1.09621e10i | 0.0163101 | + | 0.0163101i | ||||
\(233\) | 5.94773e11 | − | 5.94773e11i | 0.866107 | − | 0.866107i | −0.125932 | − | 0.992039i | \(-0.540192\pi\) |
0.992039 | + | 0.125932i | \(0.0401920\pi\) | |||||||
\(234\) | 6.77203e11i | 0.965250i | ||||||||
\(235\) | −2.33661e11 | − | 4.51228e11i | −0.326021 | − | 0.629589i | ||||
\(236\) | 4.47250e11 | 0.610929 | ||||||||
\(237\) | −7.26001e9 | − | 7.26001e9i | −0.00970946 | − | 0.00970946i | ||||
\(238\) | −4.15066e11 | + | 4.15066e11i | −0.543541 | + | 0.543541i | ||||
\(239\) | 2.96056e11i | 0.379651i | 0.981818 | + | 0.189826i | \(0.0607923\pi\) | ||||
−0.981818 | + | 0.189826i | \(0.939208\pi\) | |||||||
\(240\) | 4.41557e9 | − | 2.28652e9i | 0.00554537 | − | 0.00287157i | ||||
\(241\) | −8.58104e10 | −0.105549 | −0.0527746 | − | 0.998606i | \(-0.516806\pi\) | ||||
−0.0527746 | + | 0.998606i | \(0.516806\pi\) | |||||||
\(242\) | 2.73748e10 | + | 2.73748e10i | 0.0329818 | + | 0.0329818i | ||||
\(243\) | −4.48593e10 | + | 4.48593e10i | −0.0529445 | + | 0.0529445i | ||||
\(244\) | 3.01008e11i | 0.348039i | ||||||||
\(245\) | 5.90003e11 | − | 1.85729e12i | 0.668380 | − | 2.10402i | ||||
\(246\) | −1.88252e10 | −0.0208960 | ||||||||
\(247\) | −1.20217e11 | − | 1.20217e11i | −0.130762 | − | 0.130762i | ||||
\(248\) | 2.12424e11 | − | 2.12424e11i | 0.226436 | − | 0.226436i | ||||
\(249\) | − | 1.68389e10i | − | 0.0175921i | ||||||
\(250\) | −9.45554e10 | + | 6.84030e11i | −0.0968247 | + | 0.700446i | ||||
\(251\) | 6.32543e11 | 0.634924 | 0.317462 | − | 0.948271i | \(-0.397169\pi\) | ||||
0.317462 | + | 0.948271i | \(0.397169\pi\) | |||||||
\(252\) | −6.43100e11 | − | 6.43100e11i | −0.632814 | − | 0.632814i | ||||
\(253\) | −8.56272e11 | + | 8.56272e11i | −0.826056 | + | 0.826056i | ||||
\(254\) | − | 3.32177e11i | − | 0.314197i | ||||||
\(255\) | 1.55801e10 | + | 4.94932e9i | 0.0144501 | + | 0.00459034i | ||||
\(256\) | 6.87195e10 | 0.0625000 | ||||||||
\(257\) | −4.14422e11 | − | 4.14422e11i | −0.369639 | − | 0.369639i | 0.497707 | − | 0.867345i | \(-0.334176\pi\) |
−0.867345 | + | 0.497707i | \(0.834176\pi\) | |||||||
\(258\) | 1.28321e10 | − | 1.28321e10i | 0.0112254 | − | 0.0112254i | ||||
\(259\) | − | 2.34510e12i | − | 2.01216i | ||||||
\(260\) | 3.73135e11 | + | 7.20572e11i | 0.314050 | + | 0.606472i | ||||
\(261\) | −7.89672e10 | −0.0651995 | ||||||||
\(262\) | −6.27914e11 | − | 6.27914e11i | −0.508620 | − | 0.508620i | ||||
\(263\) | −1.05175e12 | + | 1.05175e12i | −0.835861 | + | 0.835861i | −0.988311 | − | 0.152450i | \(-0.951284\pi\) |
0.152450 | + | 0.988311i | \(0.451284\pi\) | |||||||
\(264\) | − | 1.09454e10i | − | 0.00853518i | ||||||
\(265\) | 9.02540e10 | − | 4.67364e10i | 0.0690617 | − | 0.0357624i | ||||
\(266\) | 2.28326e11 | 0.171454 | ||||||||
\(267\) | −3.31881e10 | − | 3.31881e10i | −0.0244583 | − | 0.0244583i | ||||
\(268\) | 3.45701e11 | − | 3.45701e11i | 0.250050 | − | 0.250050i | ||||
\(269\) | 1.57898e12i | 1.12103i | 0.828145 | + | 0.560514i | \(0.189396\pi\) | ||||
−0.828145 | + | 0.560514i | \(0.810604\pi\) | |||||||
\(270\) | −1.53416e10 | + | 4.82945e10i | −0.0106919 | + | 0.0336573i | ||||
\(271\) | 7.76093e11 | 0.530967 | 0.265483 | − | 0.964115i | \(-0.414468\pi\) | ||||
0.265483 | + | 0.964115i | \(0.414468\pi\) | |||||||
\(272\) | 1.59750e11 | + | 1.59750e11i | 0.107299 | + | 0.107299i | ||||
\(273\) | −6.55227e10 | + | 6.55227e10i | −0.0432094 | + | 0.0432094i | ||||
\(274\) | 6.69467e10i | 0.0433487i | ||||||||
\(275\) | 1.24135e12 | + | 8.77196e11i | 0.789278 | + | 0.557742i | ||||
\(276\) | −2.41787e10 | −0.0150969 | ||||||||
\(277\) | 8.08373e11 | + | 8.08373e11i | 0.495693 | + | 0.495693i | 0.910094 | − | 0.414401i | \(-0.136009\pi\) |
−0.414401 | + | 0.910094i | \(0.636009\pi\) | |||||||
\(278\) | 7.69681e11 | − | 7.69681e11i | 0.463539 | − | 0.463539i | ||||
\(279\) | 1.53022e12i | 0.905177i | ||||||||
\(280\) | −1.03863e12 | − | 3.29940e11i | −0.603490 | − | 0.191710i | ||||
\(281\) | −2.98568e12 | −1.70417 | −0.852083 | − | 0.523407i | \(-0.824661\pi\) | ||||
−0.852083 | + | 0.523407i | \(0.824661\pi\) | |||||||
\(282\) | −1.57919e10 | − | 1.57919e10i | −0.00885500 | − | 0.00885500i | ||||
\(283\) | 5.03518e11 | − | 5.03518e11i | 0.277385 | − | 0.277385i | −0.554679 | − | 0.832064i | \(-0.687159\pi\) |
0.832064 | + | 0.554679i | \(0.187159\pi\) | |||||||
\(284\) | − | 2.83954e11i | − | 0.153694i | ||||||
\(285\) | −2.92398e9 | − | 5.64657e9i | −0.00155507 | − | 0.00300304i | ||||
\(286\) | 1.78617e12 | 0.933454 | ||||||||
\(287\) | 2.91736e12 | + | 2.91736e12i | 1.49824 | + | 1.49824i | ||||
\(288\) | −2.47515e11 | + | 2.47515e11i | −0.124922 | + | 0.124922i | ||||
\(289\) | − | 1.27326e12i | − | 0.631582i | ||||||
\(290\) | −8.40243e10 | + | 4.35105e10i | −0.0409652 | + | 0.0212131i | ||||
\(291\) | 9.98160e10 | 0.0478338 | ||||||||
\(292\) | 4.56575e11 | + | 4.56575e11i | 0.215079 | + | 0.215079i | ||||
\(293\) | 8.91531e11 | − | 8.91531e11i | 0.412856 | − | 0.412856i | −0.469876 | − | 0.882732i | \(-0.655702\pi\) |
0.882732 | + | 0.469876i | \(0.155702\pi\) | |||||||
\(294\) | − | 8.56492e10i | − | 0.0389930i | ||||||
\(295\) | −8.26473e11 | + | 2.60168e12i | −0.369929 | + | 1.16451i | ||||
\(296\) | −9.02578e11 | −0.397216 | ||||||||
\(297\) | 7.88714e10 | + | 7.88714e10i | 0.0341301 | + | 0.0341301i | ||||
\(298\) | 1.71858e12 | − | 1.71858e12i | 0.731288 | − | 0.731288i | ||||
\(299\) | − | 3.94570e12i | − | 1.65108i | ||||||
\(300\) | 5.14132e9 | + | 2.99109e10i | 0.00211577 | + | 0.0123090i | ||||
\(301\) | −3.97721e12 | −1.60971 | ||||||||
\(302\) | −2.32732e12 | − | 2.32732e12i | −0.926448 | − | 0.926448i | ||||
\(303\) | 2.41123e10 | − | 2.41123e10i | 0.00944117 | − | 0.00944117i | ||||
\(304\) | − | 8.78776e10i | − | 0.0338462i | ||||||
\(305\) | −1.75098e12 | − | 5.56231e11i | −0.663410 | − | 0.210744i | ||||
\(306\) | −1.15078e12 | −0.428928 | ||||||||
\(307\) | −1.80450e12 | − | 1.80450e12i | −0.661707 | − | 0.661707i | 0.294075 | − | 0.955782i | \(-0.404988\pi\) |
−0.955782 | + | 0.294075i | \(0.904988\pi\) | |||||||
\(308\) | −1.69622e12 | + | 1.69622e12i | −0.611968 | + | 0.611968i | ||||
\(309\) | 1.87617e10i | 0.00666008i | ||||||||
\(310\) | 8.43144e11 | + | 1.62822e12i | 0.294506 | + | 0.568728i | ||||
\(311\) | −1.15406e12 | −0.396667 | −0.198334 | − | 0.980135i | \(-0.563553\pi\) | ||||
−0.198334 | + | 0.980135i | \(0.563553\pi\) | |||||||
\(312\) | 2.52182e10 | + | 2.52182e10i | 0.00852985 | + | 0.00852985i | ||||
\(313\) | 2.78291e12 | − | 2.78291e12i | 0.926357 | − | 0.926357i | −0.0711117 | − | 0.997468i | \(-0.522655\pi\) |
0.997468 | + | 0.0711117i | \(0.0226547\pi\) | |||||||
\(314\) | 1.94818e12i | 0.638236i | ||||||||
\(315\) | 4.92933e12 | − | 2.55257e12i | 1.58941 | − | 0.823047i | ||||
\(316\) | 8.66044e11 | 0.274856 | ||||||||
\(317\) | 1.09761e11 | + | 1.09761e11i | 0.0342887 | + | 0.0342887i | 0.724043 | − | 0.689755i | \(-0.242282\pi\) |
−0.689755 | + | 0.724043i | \(0.742282\pi\) | |||||||
\(318\) | 3.15867e9 | − | 3.15867e9i | 0.000971333 | − | 0.000971333i | ||||
\(319\) | 2.08282e11i | 0.0630518i | ||||||||
\(320\) | −1.26987e11 | + | 3.99745e11i | −0.0378450 | + | 0.119133i | ||||
\(321\) | 2.94630e10 | 0.00864473 | ||||||||
\(322\) | 3.74700e12 | + | 3.74700e12i | 1.08244 | + | 1.08244i | ||||
\(323\) | 2.04286e11 | − | 2.04286e11i | 0.0581067 | − | 0.0581067i | ||||
\(324\) | − | 1.78189e12i | − | 0.499064i | ||||||
\(325\) | −4.88112e12 | + | 8.39006e11i | −1.34618 | + | 0.231392i | ||||
\(326\) | −4.35700e12 | −1.18331 | ||||||||
\(327\) | −8.20542e9 | − | 8.20542e9i | −0.00219463 | − | 0.00219463i | ||||
\(328\) | 1.12283e12 | − | 1.12283e12i | 0.295763 | − | 0.295763i | ||||
\(329\) | 4.89456e12i | 1.26980i | ||||||||
\(330\) | 6.36701e10 | + | 2.02260e10i | 0.0162692 | + | 0.00516822i | ||||
\(331\) | 4.29888e12 | 1.08197 | 0.540986 | − | 0.841032i | \(-0.318051\pi\) | ||||
0.540986 | + | 0.841032i | \(0.318051\pi\) | |||||||
\(332\) | 1.00435e12 | + | 1.00435e12i | 0.248998 | + | 0.248998i | ||||
\(333\) | 3.25092e12 | − | 3.25092e12i | 0.793935 | − | 0.793935i | ||||
\(334\) | − | 5.94316e11i | − | 0.142983i | ||||||
\(335\) | 1.37214e12 | + | 2.64978e12i | 0.325219 | + | 0.628039i | ||||
\(336\) | −4.78965e10 | −0.0111843 | ||||||||
\(337\) | 2.25704e12 | + | 2.25704e12i | 0.519266 | + | 0.519266i | 0.917349 | − | 0.398084i | \(-0.130325\pi\) |
−0.398084 | + | 0.917349i | \(0.630325\pi\) | |||||||
\(338\) | −1.90960e12 | + | 1.90960e12i | −0.432871 | + | 0.432871i | ||||
\(339\) | 8.85544e10i | 0.0197793i | ||||||||
\(340\) | −1.22447e12 | + | 6.34072e11i | −0.269498 | + | 0.139555i | ||||
\(341\) | 4.03607e12 | 0.875360 | ||||||||
\(342\) | 3.16519e11 | + | 3.16519e11i | 0.0676502 | + | 0.0676502i | ||||
\(343\) | −7.26073e12 | + | 7.26073e12i | −1.52936 | + | 1.52936i | ||||
\(344\) | 1.53074e12i | 0.317768i | ||||||||
\(345\) | 4.46798e10 | − | 1.40649e11i | 0.00914147 | − | 0.0287767i | ||||
\(346\) | 6.23139e11 | 0.125662 | ||||||||
\(347\) | −6.93473e12 | − | 6.93473e12i | −1.37842 | − | 1.37842i | −0.847288 | − | 0.531133i | \(-0.821766\pi\) |
−0.531133 | − | 0.847288i | \(-0.678234\pi\) | |||||||
\(348\) | −2.94064e9 | + | 2.94064e9i | −0.000576164 | + | 0.000576164i | ||||
\(349\) | − | 6.40655e12i | − | 1.23736i | −0.785642 | − | 0.618681i | \(-0.787667\pi\) | ||
0.785642 | − | 0.618681i | \(-0.212333\pi\) | |||||||
\(350\) | 3.83856e12 | − | 5.43207e12i | 0.730850 | − | 1.03425i | ||||
\(351\) | −3.63439e11 | −0.0682175 | ||||||||
\(352\) | 6.52838e11 | + | 6.52838e11i | 0.120807 | + | 0.120807i | ||||
\(353\) | −2.14798e12 | + | 2.14798e12i | −0.391883 | + | 0.391883i | −0.875358 | − | 0.483475i | \(-0.839374\pi\) |
0.483475 | + | 0.875358i | \(0.339374\pi\) | |||||||
\(354\) | 1.19977e11i | 0.0215815i | ||||||||
\(355\) | 1.65178e12 | + | 5.24718e11i | 0.292961 | + | 0.0930645i | ||||
\(356\) | 3.95899e12 | 0.692364 | ||||||||
\(357\) | −1.11343e11 | − | 1.11343e11i | −0.0192010 | − | 0.0192010i | ||||
\(358\) | −3.79825e12 | + | 3.79825e12i | −0.645905 | + | 0.645905i | ||||
\(359\) | 2.19455e12i | 0.368022i | 0.982924 | + | 0.184011i | \(0.0589082\pi\) | ||||
−0.982924 | + | 0.184011i | \(0.941092\pi\) | |||||||
\(360\) | −9.82427e11 | − | 1.89719e12i | −0.162475 | − | 0.313761i | ||||
\(361\) | 6.01869e12 | 0.981671 | ||||||||
\(362\) | −5.31346e12 | − | 5.31346e12i | −0.854741 | − | 0.854741i | ||||
\(363\) | −7.34343e9 | + | 7.34343e9i | −0.00116511 | + | 0.00116511i | ||||
\(364\) | − | 7.81618e12i | − | 1.22317i | ||||||
\(365\) | −3.49962e12 | + | 1.81222e12i | −0.540203 | + | 0.279735i | ||||
\(366\) | −8.07467e10 | −0.0122947 | ||||||||
\(367\) | −2.37842e12 | − | 2.37842e12i | −0.357239 | − | 0.357239i | 0.505555 | − | 0.862794i | \(-0.331288\pi\) |
−0.862794 | + | 0.505555i | \(0.831288\pi\) | |||||||
\(368\) | 1.44214e12 | − | 1.44214e12i | 0.213682 | − | 0.213682i | ||||
\(369\) | 8.08842e12i | 1.18231i | ||||||||
\(370\) | 1.66787e12 | − | 5.25035e12i | 0.240522 | − | 0.757146i | ||||
\(371\) | −9.79003e11 | −0.139288 | ||||||||
\(372\) | 5.69837e10 | + | 5.69837e10i | 0.00799900 | + | 0.00799900i | ||||
\(373\) | 1.73836e12 | − | 1.73836e12i | 0.240766 | − | 0.240766i | −0.576401 | − | 0.817167i | \(-0.695543\pi\) |
0.817167 | + | 0.576401i | \(0.195543\pi\) | |||||||
\(374\) | 3.03526e12i | 0.414799i | ||||||||
\(375\) | −1.83494e11 | − | 2.53649e10i | −0.0247438 | − | 0.00342040i | ||||
\(376\) | 1.88381e12 | 0.250667 | ||||||||
\(377\) | −4.79880e11 | − | 4.79880e11i | −0.0630124 | − | 0.0630124i | ||||
\(378\) | 3.45137e11 | − | 3.45137e11i | 0.0447231 | − | 0.0447231i | ||||
\(379\) | − | 1.16431e12i | − | 0.148892i | −0.997225 | − | 0.0744462i | \(-0.976281\pi\) | ||
0.997225 | − | 0.0744462i | \(-0.0237189\pi\) | |||||||
\(380\) | 5.11189e11 | + | 1.62389e11i | 0.0645154 | + | 0.0204945i | ||||
\(381\) | 8.91081e10 | 0.0110992 | ||||||||
\(382\) | 6.34569e12 | + | 6.34569e12i | 0.780121 | + | 0.780121i | ||||
\(383\) | 2.71812e12 | − | 2.71812e12i | 0.329819 | − | 0.329819i | −0.522699 | − | 0.852518i | \(-0.675075\pi\) |
0.852518 | + | 0.522699i | \(0.175075\pi\) | |||||||
\(384\) | 1.84343e10i | 0.00220786i | ||||||||
\(385\) | −6.73257e12 | − | 1.30015e13i | −0.795935 | − | 1.53705i | ||||
\(386\) | −6.34913e12 | −0.740931 | ||||||||
\(387\) | −5.51345e12 | − | 5.51345e12i | −0.635139 | − | 0.635139i | ||||
\(388\) | −5.95351e12 | + | 5.95351e12i | −0.677040 | + | 0.677040i | ||||
\(389\) | 1.72600e13i | 1.93773i | 0.247595 | + | 0.968864i | \(0.420360\pi\) | ||||
−0.247595 | + | 0.968864i | \(0.579640\pi\) | |||||||
\(390\) | −1.93297e11 | + | 1.00095e11i | −0.0214240 | + | 0.0110941i | ||||
\(391\) | 6.70497e12 | 0.733691 | ||||||||
\(392\) | 5.10853e12 | + | 5.10853e12i | 0.551907 | + | 0.551907i | ||||
\(393\) | 1.68441e11 | − | 1.68441e11i | 0.0179674 | − | 0.0179674i | ||||
\(394\) | − | 1.18280e12i | − | 0.124575i | ||||||
\(395\) | −1.60036e12 | + | 5.03783e12i | −0.166430 | + | 0.523911i | ||||
\(396\) | −4.70280e12 | −0.482926 | ||||||||
\(397\) | 8.32221e12 | + | 8.32221e12i | 0.843891 | + | 0.843891i | 0.989362 | − | 0.145471i | \(-0.0464699\pi\) |
−0.145471 | + | 0.989362i | \(0.546470\pi\) | |||||||
\(398\) | 4.25157e12 | − | 4.25157e12i | 0.425730 | − | 0.425730i | ||||
\(399\) | 6.12495e10i | 0.00605673i | ||||||||
\(400\) | −2.09068e12 | − | 1.47738e12i | −0.204168 | − | 0.144275i | ||||
\(401\) | 1.35716e13 | 1.30891 | 0.654456 | − | 0.756100i | \(-0.272898\pi\) | ||||
0.654456 | + | 0.756100i | \(0.272898\pi\) | |||||||
\(402\) | 9.27359e10 | + | 9.27359e10i | 0.00883319 | + | 0.00883319i | ||||
\(403\) | −9.29910e12 | + | 9.29910e12i | −0.874814 | + | 0.874814i | ||||
\(404\) | 2.87635e12i | 0.267261i | ||||||||
\(405\) | 1.03654e13 | + | 3.29276e12i | 0.951283 | + | 0.302193i | ||||
\(406\) | 9.11428e11 | 0.0826214 | ||||||||
\(407\) | −8.57453e12 | − | 8.57453e12i | −0.767782 | − | 0.767782i | ||||
\(408\) | −4.28536e10 | + | 4.28536e10i | −0.00379041 | + | 0.00379041i | ||||
\(409\) | − | 7.80482e12i | − | 0.681940i | −0.940074 | − | 0.340970i | \(-0.889244\pi\) | ||
0.940074 | − | 0.340970i | \(-0.110756\pi\) | |||||||
\(410\) | 4.45668e12 | + | 8.60641e12i | 0.384673 | + | 0.742853i | ||||
\(411\) | −1.79588e10 | −0.00153132 | ||||||||
\(412\) | −1.11904e12 | − | 1.11904e12i | −0.0942667 | − | 0.0942667i | ||||
\(413\) | 1.85929e13 | − | 1.85929e13i | 1.54738 | − | 1.54738i | ||||
\(414\) | 1.03886e13i | 0.854194i | ||||||||
\(415\) | −7.69832e12 | + | 3.98644e12i | −0.625397 | + | 0.323851i | ||||
\(416\) | −3.00827e12 | −0.241463 | ||||||||
\(417\) | 2.06470e11 | + | 2.06470e11i | 0.0163749 | + | 0.0163749i | ||||
\(418\) | 8.34841e11 | − | 8.34841e11i | 0.0654217 | − | 0.0654217i | ||||
\(419\) | − | 2.08403e13i | − | 1.61374i | −0.590726 | − | 0.806872i | \(-0.701159\pi\) | ||
0.590726 | − | 0.806872i | \(-0.298841\pi\) | |||||||
\(420\) | 8.85079e10 | − | 2.78617e11i | 0.00677229 | − | 0.0213187i | ||||
\(421\) | −2.18036e13 | −1.64861 | −0.824303 | − | 0.566149i | \(-0.808433\pi\) | ||||
−0.824303 | + | 0.566149i | \(0.808433\pi\) | |||||||
\(422\) | −3.88285e11 | − | 3.88285e11i | −0.0290127 | − | 0.0290127i | ||||
\(423\) | −6.78513e12 | + | 6.78513e12i | −0.501022 | + | 0.501022i | ||||
\(424\) | 3.76796e11i | 0.0274965i | ||||||||
\(425\) | −1.42573e12 | − | 8.29454e12i | −0.102824 | − | 0.598202i | ||||
\(426\) | 7.61719e10 | 0.00542934 | ||||||||
\(427\) | 1.25134e13 | + | 1.25134e13i | 0.881526 | + | 0.881526i | ||||
\(428\) | −1.75731e12 | + | 1.75731e12i | −0.122357 | + | 0.122357i | ||||
\(429\) | 4.79148e11i | 0.0329749i | ||||||||
\(430\) | −8.90441e12 | − | 2.82865e12i | −0.605708 | − | 0.192414i | ||||
\(431\) | −5.25595e12 | −0.353398 | −0.176699 | − | 0.984265i | \(-0.556542\pi\) | ||||
−0.176699 | + | 0.984265i | \(0.556542\pi\) | |||||||
\(432\) | −1.32835e11 | − | 1.32835e11i | −0.00882867 | − | 0.00882867i | ||||
\(433\) | 8.28697e12 | − | 8.28697e12i | 0.544448 | − | 0.544448i | −0.380382 | − | 0.924830i | \(-0.624207\pi\) |
0.924830 | + | 0.380382i | \(0.124207\pi\) | |||||||
\(434\) | − | 1.76616e13i | − | 1.14705i | ||||||
\(435\) | −1.16719e10 | − | 2.25399e10i | −0.000749368 | − | 0.00144712i | ||||
\(436\) | 9.78822e11 | 0.0621257 | ||||||||
\(437\) | −1.84419e12 | − | 1.84419e12i | −0.115717 | − | 0.115717i | ||||
\(438\) | −1.22478e11 | + | 1.22478e11i | −0.00759781 | + | 0.00759781i | ||||
\(439\) | − | 1.65406e13i | − | 1.01444i | −0.861816 | − | 0.507221i | \(-0.830673\pi\) | ||
0.861816 | − | 0.507221i | \(-0.169327\pi\) | |||||||
\(440\) | −5.00397e12 | + | 2.59122e12i | −0.303425 | + | 0.157123i | ||||
\(441\) | −3.68000e13 | −2.20625 | ||||||||
\(442\) | −6.99323e12 | − | 6.99323e12i | −0.414540 | − | 0.414540i | ||||
\(443\) | 5.26631e12 | − | 5.26631e12i | 0.308665 | − | 0.308665i | −0.535727 | − | 0.844392i | \(-0.679962\pi\) |
0.844392 | + | 0.535727i | \(0.179962\pi\) | |||||||
\(444\) | − | 2.42121e11i | − | 0.0140319i | ||||||
\(445\) | −7.31581e12 | + | 2.30297e13i | −0.419240 | + | 1.31974i | ||||
\(446\) | 1.77484e13 | 1.00574 | ||||||||
\(447\) | 4.61017e11 | + | 4.61017e11i | 0.0258332 | + | 0.0258332i | ||||
\(448\) | 2.85678e12 | − | 2.85678e12i | 0.158302 | − | 0.158302i | ||||
\(449\) | 2.64504e13i | 1.44944i | 0.689044 | + | 0.724719i | \(0.258031\pi\) | ||||
−0.689044 | + | 0.724719i | \(0.741969\pi\) | |||||||
\(450\) | 1.28515e13 | − | 2.20902e12i | 0.696452 | − | 0.119712i | ||||
\(451\) | 2.13338e13 | 1.14337 | ||||||||
\(452\) | −5.28181e12 | − | 5.28181e12i | −0.279957 | − | 0.279957i | ||||
\(453\) | 6.24314e11 | − | 6.24314e11i | 0.0327274 | − | 0.0327274i | ||||
\(454\) | 3.22937e12i | 0.167432i | ||||||||
\(455\) | 4.54672e13 | + | 1.44435e13i | 2.33153 | + | 0.740655i | ||||
\(456\) | 2.35736e10 | 0.00119564 | ||||||||
\(457\) | 1.05795e13 | + | 1.05795e13i | 0.530742 | + | 0.530742i | 0.920793 | − | 0.390051i | \(-0.127543\pi\) |
−0.390051 | + | 0.920793i | \(0.627543\pi\) | |||||||
\(458\) | 5.10571e12 | − | 5.10571e12i | 0.253355 | − | 0.253355i | ||||
\(459\) | − | 6.17596e11i | − | 0.0303138i | ||||||
\(460\) | 5.72407e12 | + | 1.10539e13i | 0.277918 | + | 0.536694i | ||||
\(461\) | −1.56994e13 | −0.754012 | −0.377006 | − | 0.926211i | \(-0.623046\pi\) | ||||
−0.377006 | + | 0.926211i | \(0.623046\pi\) | |||||||
\(462\) | −4.55019e11 | − | 4.55019e11i | −0.0216182 | − | 0.0216182i | ||||
\(463\) | −2.41072e13 | + | 2.41072e13i | −1.13303 | + | 1.13303i | −0.143362 | + | 0.989670i | \(0.545791\pi\) |
−0.989670 | + | 0.143362i | \(0.954209\pi\) | |||||||
\(464\) | − | 3.50789e11i | − | 0.0163101i | ||||||
\(465\) | −4.36777e11 | + | 2.26177e11i | −0.0200907 | + | 0.0104036i | ||||
\(466\) | −1.90327e13 | −0.866107 | ||||||||
\(467\) | 1.03177e13 | + | 1.03177e13i | 0.464515 | + | 0.464515i | 0.900132 | − | 0.435617i | \(-0.143470\pi\) |
−0.435617 | + | 0.900132i | \(0.643470\pi\) | |||||||
\(468\) | 1.08353e13 | − | 1.08353e13i | 0.482625 | − | 0.482625i | ||||
\(469\) | − | 2.87427e13i | − | 1.26667i | ||||||
\(470\) | −3.48109e12 | + | 1.09582e13i | −0.151784 | + | 0.477805i | ||||
\(471\) | −5.22609e11 | −0.0225461 | ||||||||
\(472\) | −7.15600e12 | − | 7.15600e12i | −0.305464 | − | 0.305464i | ||||
\(473\) | −1.45421e13 | + | 1.45421e13i | −0.614216 | + | 0.614216i | ||||
\(474\) | 2.32320e11i | 0.00970946i | ||||||||
\(475\) | −1.88925e12 | + | 2.67354e12i | −0.0781307 | + | 0.110565i | ||||
\(476\) | 1.32821e13 | 0.543541 | ||||||||
\(477\) | −1.35715e12 | − | 1.35715e12i | −0.0549587 | − | 0.0549587i | ||||
\(478\) | 4.73690e12 | − | 4.73690e12i | 0.189826 | − | 0.189826i | ||||
\(479\) | 3.23153e12i | 0.128154i | 0.997945 | + | 0.0640769i | \(0.0204103\pi\) | ||||
−0.997945 | + | 0.0640769i | \(0.979590\pi\) | |||||||
\(480\) | −1.07233e11 | − | 3.40647e10i | −0.00420847 | − | 0.00133690i | ||||
\(481\) | 3.95114e13 | 1.53461 | ||||||||
\(482\) | 1.37297e12 | + | 1.37297e12i | 0.0527746 | + | 0.0527746i | ||||
\(483\) | −1.00515e12 | + | 1.00515e12i | −0.0382380 | + | 0.0382380i | ||||
\(484\) | − | 8.75995e11i | − | 0.0329818i | ||||||
\(485\) | −2.36304e13 | − | 4.56334e13i | −0.880569 | − | 1.70049i | ||||
\(486\) | 1.43550e12 | 0.0529445 | ||||||||
\(487\) | 4.86520e12 | + | 4.86520e12i | 0.177605 | + | 0.177605i | 0.790311 | − | 0.612706i | \(-0.209919\pi\) |
−0.612706 | + | 0.790311i | \(0.709919\pi\) | |||||||
\(488\) | 4.81612e12 | − | 4.81612e12i | 0.174020 | − | 0.174020i | ||||
\(489\) | − | 1.16879e12i | − | 0.0418014i | ||||||
\(490\) | −3.91567e13 | + | 2.02766e13i | −1.38620 | + | 0.717818i | ||||
\(491\) | −5.32655e13 | −1.86654 | −0.933272 | − | 0.359170i | \(-0.883060\pi\) | ||||
−0.933272 | + | 0.359170i | \(0.883060\pi\) | |||||||
\(492\) | 3.01203e11 | + | 3.01203e11i | 0.0104480 | + | 0.0104480i | ||||
\(493\) | 8.15466e11 | − | 8.15466e11i | 0.0280008 | − | 0.0280008i | ||||
\(494\) | 3.84694e12i | 0.130762i | ||||||||
\(495\) | 8.69030e12 | − | 2.73565e13i | 0.292421 | − | 0.920522i | ||||
\(496\) | −6.79756e12 | −0.226436 | ||||||||
\(497\) | −1.18044e13 | − | 1.18044e13i | −0.389281 | − | 0.389281i | ||||
\(498\) | −2.69422e11 | + | 2.69422e11i | −0.00879603 | + | 0.00879603i | ||||
\(499\) | 6.68683e12i | 0.216131i | 0.994144 | + | 0.108066i | \(0.0344657\pi\) | ||||
−0.994144 | + | 0.108066i | \(0.965534\pi\) | |||||||
\(500\) | 1.24574e13 | − | 9.43159e12i | 0.398635 | − | 0.301811i | ||||
\(501\) | 1.59428e11 | 0.00505099 | ||||||||
\(502\) | −1.01207e13 | − | 1.01207e13i | −0.317462 | − | 0.317462i | ||||
\(503\) | 4.03916e13 | − | 4.03916e13i | 1.25444 | − | 1.25444i | 0.300734 | − | 0.953708i | \(-0.402768\pi\) |
0.953708 | − | 0.300734i | \(-0.0972317\pi\) | |||||||
\(504\) | 2.05792e13i | 0.632814i | ||||||||
\(505\) | −1.67319e13 | − | 5.31520e12i | −0.509435 | − | 0.161831i | ||||
\(506\) | 2.74007e13 | 0.826056 | ||||||||
\(507\) | −5.12259e11 | − | 5.12259e11i | −0.0152915 | − | 0.0152915i | ||||
\(508\) | −5.31484e12 | + | 5.31484e12i | −0.157098 | + | 0.157098i | ||||
\(509\) | 1.68781e10i | 0.000494008i | 1.00000 | 0.000247004i | \(7.86239e-5\pi\) | |||||
−1.00000 | 0.000247004i | \(0.999921\pi\) | ||||||||
\(510\) | −1.70093e11 | − | 3.28471e11i | −0.00492987 | − | 0.00952020i | ||||
\(511\) | 3.79611e13 | 1.08952 | ||||||||
\(512\) | −1.09951e12 | − | 1.09951e12i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −1.69868e11 | + | 1.69868e11i | −0.00478107 | + | 0.00478107i | ||||
\(514\) | 1.32615e13i | 0.369639i | ||||||||
\(515\) | 8.57737e12 | − | 4.44164e12i | 0.236765 | − | 0.122605i | ||||
\(516\) | −4.10628e11 | −0.0112254 | ||||||||
\(517\) | 1.78963e13 | + | 1.78963e13i | 0.484517 | + | 0.484517i | ||||
\(518\) | −3.75217e13 | + | 3.75217e13i | −1.00608 | + | 1.00608i | ||||
\(519\) | 1.67160e11i | 0.00443910i | ||||||||
\(520\) | 5.55898e12 | − | 1.74993e13i | 0.146211 | − | 0.460261i | ||||
\(521\) | −2.19883e13 | −0.572801 | −0.286400 | − | 0.958110i | \(-0.592459\pi\) | ||||
−0.286400 | + | 0.958110i | \(0.592459\pi\) | |||||||
\(522\) | 1.26348e12 | + | 1.26348e12i | 0.0325998 | + | 0.0325998i | ||||
\(523\) | −1.64381e13 | + | 1.64381e13i | −0.420092 | + | 0.420092i | −0.885235 | − | 0.465144i | \(-0.846003\pi\) |
0.465144 | + | 0.885235i | \(0.346003\pi\) | |||||||
\(524\) | 2.00932e13i | 0.508620i | ||||||||
\(525\) | 1.45718e12 | + | 1.02971e12i | 0.0365356 | + | 0.0258178i | ||||
\(526\) | 3.36560e13 | 0.835861 | ||||||||
\(527\) | −1.58021e13 | − | 1.58021e13i | −0.388741 | − | 0.388741i | ||||
\(528\) | −1.75127e11 | + | 1.75127e11i | −0.00426759 | + | 0.00426759i | ||||
\(529\) | − | 1.91024e13i | − | 0.461116i | ||||||
\(530\) | −2.19185e12 | − | 6.96281e11i | −0.0524120 | − | 0.0166497i | ||||
\(531\) | 5.15492e13 | 1.22109 | ||||||||
\(532\) | −3.65322e12 | − | 3.65322e12i | −0.0857269 | − | 0.0857269i | ||||
\(533\) | −4.91530e13 | + | 4.91530e13i | −1.14265 | + | 1.14265i | ||||
\(534\) | 1.06202e12i | 0.0244583i | ||||||||
\(535\) | −6.97506e12 | − | 1.34697e13i | −0.159140 | − | 0.307319i | ||||
\(536\) | −1.10624e13 | −0.250050 | ||||||||
\(537\) | −1.01890e12 | − | 1.01890e12i | −0.0228170 | − | 0.0228170i | ||||
\(538\) | 2.52637e13 | − | 2.52637e13i | 0.560514 | − | 0.560514i | ||||
\(539\) | 9.70625e13i | 2.13357i | ||||||||
\(540\) | 1.01818e12 | − | 5.27245e11i | 0.0221746 | − | 0.0114827i | ||||
\(541\) | 1.85925e13 | 0.401192 | 0.200596 | − | 0.979674i | \(-0.435712\pi\) | ||||
0.200596 | + | 0.979674i | \(0.435712\pi\) | |||||||
\(542\) | −1.24175e13 | − | 1.24175e13i | −0.265483 | − | 0.265483i | ||||
\(543\) | 1.42536e12 | − | 1.42536e12i | 0.0301943 | − | 0.0301943i | ||||
\(544\) | − | 5.11199e12i | − | 0.107299i | ||||||
\(545\) | −1.80876e12 | + | 5.69386e12i | −0.0376183 | + | 0.118420i | ||||
\(546\) | 2.09673e12 | 0.0432094 | ||||||||
\(547\) | 1.16241e13 | + | 1.16241e13i | 0.237368 | + | 0.237368i | 0.815759 | − | 0.578391i | \(-0.196319\pi\) |
−0.578391 | + | 0.815759i | \(0.696319\pi\) | |||||||
\(548\) | 1.07115e12 | − | 1.07115e12i | 0.0216744 | − | 0.0216744i | ||||
\(549\) | 3.46936e13i | 0.695644i | ||||||||
\(550\) | −5.82644e12 | − | 3.38967e13i | −0.115768 | − | 0.673510i | ||||
\(551\) | −4.48584e11 | −0.00883254 | ||||||||
\(552\) | 3.86860e11 | + | 3.86860e11i | 0.00754846 | + | 0.00754846i | ||||
\(553\) | 3.60029e13 | − | 3.60029e13i | 0.696164 | − | 0.696164i | ||||
\(554\) | − | 2.58679e13i | − | 0.495693i | ||||||
\(555\) | 1.40843e12 | + | 4.47414e11i | 0.0267467 | + | 0.00849660i | ||||
\(556\) | −2.46298e13 | −0.463539 | ||||||||
\(557\) | 1.91577e13 | + | 1.91577e13i | 0.357329 | + | 0.357329i | 0.862828 | − | 0.505498i | \(-0.168691\pi\) |
−0.505498 | + | 0.862828i | \(0.668691\pi\) | |||||||
\(558\) | 2.44836e13 | − | 2.44836e13i | 0.452589 | − | 0.452589i | ||||
\(559\) | − | 6.70100e13i | − | 1.22767i | ||||||
\(560\) | 1.13390e13 | + | 2.18971e13i | 0.205890 | + | 0.397600i | ||||
\(561\) | −8.14222e11 | −0.0146531 | ||||||||
\(562\) | 4.77709e13 | + | 4.77709e13i | 0.852083 | + | 0.852083i | ||||
\(563\) | −5.33676e13 | + | 5.33676e13i | −0.943487 | + | 0.943487i | −0.998486 | − | 0.0549994i | \(-0.982484\pi\) |
0.0549994 | + | 0.998486i | \(0.482484\pi\) | |||||||
\(564\) | 5.05340e11i | 0.00885500i | ||||||||
\(565\) | 4.04849e13 | − | 2.09644e13i | 0.703154 | − | 0.364116i | ||||
\(566\) | −1.61126e13 | −0.277385 | ||||||||
\(567\) | −7.40762e13 | − | 7.40762e13i | −1.26405 | − | 1.26405i | ||||
\(568\) | −4.54326e12 | + | 4.54326e12i | −0.0768468 | + | 0.0768468i | ||||
\(569\) | − | 3.11804e12i | − | 0.0522782i | −0.999658 | − | 0.0261391i | \(-0.991679\pi\) | ||
0.999658 | − | 0.0261391i | \(-0.00832128\pi\) | |||||||
\(570\) | −4.35615e10 | + | 1.37129e11i | −0.000723984 | + | 0.00227905i | ||||
\(571\) | −3.28849e13 | −0.541771 | −0.270886 | − | 0.962612i | \(-0.587317\pi\) | ||||
−0.270886 | + | 0.962612i | \(0.587317\pi\) | |||||||
\(572\) | −2.85787e13 | − | 2.85787e13i | −0.466727 | − | 0.466727i | ||||
\(573\) | −1.70226e12 | + | 1.70226e12i | −0.0275583 | + | 0.0275583i | ||||
\(574\) | − | 9.33554e13i | − | 1.49824i | ||||||
\(575\) | −7.48788e13 | + | 1.28708e13i | −1.19130 | + | 0.204769i | ||||
\(576\) | 7.92048e12 | 0.124922 | ||||||||
\(577\) | −3.79362e13 | − | 3.79362e13i | −0.593164 | − | 0.593164i | 0.345321 | − | 0.938485i | \(-0.387770\pi\) |
−0.938485 | + | 0.345321i | \(0.887770\pi\) | |||||||
\(578\) | −2.03722e13 | + | 2.03722e13i | −0.315791 | + | 0.315791i | ||||
\(579\) | − | 1.70318e12i | − | 0.0261739i | ||||||
\(580\) | 2.04056e12 | + | 6.48221e11i | 0.0310892 | + | 0.00987605i | ||||
\(581\) | 8.35052e13 | 1.26134 | ||||||||
\(582\) | −1.59706e12 | − | 1.59706e12i | −0.0239169 | − | 0.0239169i | ||||
\(583\) | −3.57958e12 | + | 3.57958e12i | −0.0531483 | + | 0.0531483i | ||||
\(584\) | − | 1.46104e13i | − | 0.215079i | ||||||
\(585\) | 4.30069e13 | + | 8.30517e13i | 0.627709 | + | 1.21219i | ||||
\(586\) | −2.85290e13 | −0.412856 | ||||||||
\(587\) | −3.07240e11 | − | 3.07240e11i | −0.00440847 | − | 0.00440847i | 0.704899 | − | 0.709308i | \(-0.250992\pi\) |
−0.709308 | + | 0.704899i | \(0.750992\pi\) | |||||||
\(588\) | −1.37039e12 | + | 1.37039e12i | −0.0194965 | + | 0.0194965i | ||||
\(589\) | 8.69264e12i | 0.122624i | ||||||||
\(590\) | 5.48504e13 | − | 2.84033e13i | 0.767220 | − | 0.397291i | ||||
\(591\) | 3.17291e11 | 0.00440069 | ||||||||
\(592\) | 1.44412e13 | + | 1.44412e13i | 0.198608 | + | 0.198608i | ||||
\(593\) | 4.03140e13 | − | 4.03140e13i | 0.549771 | − | 0.549771i | −0.376603 | − | 0.926375i | \(-0.622908\pi\) |
0.926375 | + | 0.376603i | \(0.122908\pi\) | |||||||
\(594\) | − | 2.52388e12i | − | 0.0341301i | ||||||
\(595\) | −2.45440e13 | + | 7.72629e13i | −0.329125 | + | 1.03606i | ||||
\(596\) | −5.49945e13 | −0.731288 | ||||||||
\(597\) | 1.14050e12 | + | 1.14050e12i | 0.0150392 | + | 0.0150392i | ||||
\(598\) | −6.31312e13 | + | 6.31312e13i | −0.825540 | + | 0.825540i | ||||
\(599\) | − | 1.27996e14i | − | 1.65982i | −0.557894 | − | 0.829912i | \(-0.688391\pi\) | ||
0.557894 | − | 0.829912i | \(-0.311609\pi\) | |||||||
\(600\) | 3.96313e11 | − | 5.60835e11i | 0.00509662 | − | 0.00721239i | ||||
\(601\) | −4.94506e13 | −0.630666 | −0.315333 | − | 0.948981i | \(-0.602116\pi\) | ||||
−0.315333 | + | 0.948981i | \(0.602116\pi\) | |||||||
\(602\) | 6.36354e13 | + | 6.36354e13i | 0.804853 | + | 0.804853i | ||||
\(603\) | 3.98449e13 | − | 3.98449e13i | 0.499788 | − | 0.499788i | ||||
\(604\) | 7.44742e13i | 0.926448i | ||||||||
\(605\) | 5.09571e12 | + | 1.61875e12i | 0.0628678 | + | 0.0199711i | ||||
\(606\) | −7.71594e11 | −0.00944117 | ||||||||
\(607\) | 6.56991e13 | + | 6.56991e13i | 0.797289 | + | 0.797289i | 0.982667 | − | 0.185378i | \(-0.0593509\pi\) |
−0.185378 | + | 0.982667i | \(0.559351\pi\) | |||||||
\(608\) | −1.40604e12 | + | 1.40604e12i | −0.0169231 | + | 0.0169231i | ||||
\(609\) | 2.44495e11i | 0.00291866i | ||||||||
\(610\) | 1.91160e13 | + | 3.69154e13i | 0.226333 | + | 0.437077i | ||||
\(611\) | −8.24659e13 | −0.968430 | ||||||||
\(612\) | 1.84125e13 | + | 1.84125e13i | 0.214464 | + | 0.214464i | ||||
\(613\) | 5.91813e13 | − | 5.91813e13i | 0.683727 | − | 0.683727i | −0.277111 | − | 0.960838i | \(-0.589377\pi\) |
0.960838 | + | 0.277111i | \(0.0893771\pi\) | |||||||
\(614\) | 5.77441e13i | 0.661707i | ||||||||
\(615\) | −2.30871e12 | + | 1.19552e12i | −0.0262418 | + | 0.0135888i | ||||
\(616\) | 5.42791e13 | 0.611968 | ||||||||
\(617\) | 6.77316e13 | + | 6.77316e13i | 0.757471 | + | 0.757471i | 0.975861 | − | 0.218391i | \(-0.0700808\pi\) |
−0.218391 | + | 0.975861i | \(0.570081\pi\) | |||||||
\(618\) | 3.00187e11 | − | 3.00187e11i | 0.00333004 | − | 0.00333004i | ||||
\(619\) | 1.05110e14i | 1.15662i | 0.815815 | + | 0.578312i | \(0.196289\pi\) | ||||
−0.815815 | + | 0.578312i | \(0.803711\pi\) | |||||||
\(620\) | 1.25612e13 | − | 3.95418e13i | 0.137111 | − | 0.431617i | ||||
\(621\) | −5.57533e12 | −0.0603688 | ||||||||
\(622\) | 1.84649e13 | + | 1.84649e13i | 0.198334 | + | 0.198334i | ||||
\(623\) | 1.64582e14 | − | 1.64582e14i | 1.75364 | − | 1.75364i | ||||
\(624\) | − | 8.06983e11i | − | 0.00852985i | ||||||
\(625\) | 3.18442e13 | + | 8.98938e13i | 0.333910 | + | 0.942605i | ||||
\(626\) | −8.90533e13 | −0.926357 | ||||||||
\(627\) | 2.23950e11 | + | 2.23950e11i | 0.00231107 | + | 0.00231107i | ||||
\(628\) | 3.11709e13 | − | 3.11709e13i | 0.319118 | − | 0.319118i | ||||
\(629\) | 6.71421e13i | 0.681933i | ||||||||
\(630\) | −1.19710e14 | − | 3.80283e13i | −1.20623 | − | 0.383181i | ||||
\(631\) | −8.50515e13 | −0.850228 | −0.425114 | − | 0.905140i | \(-0.639766\pi\) | ||||
−0.425114 | + | 0.905140i | \(0.639766\pi\) | |||||||
\(632\) | −1.38567e13 | − | 1.38567e13i | −0.137428 | − | 0.137428i | ||||
\(633\) | 1.04159e11 | − | 1.04159e11i | 0.00102489 | − | 0.00102489i | ||||
\(634\) | − | 3.51234e12i | − | 0.0342887i | ||||||
\(635\) | −2.10955e13 | − | 4.07380e13i | −0.204324 | − | 0.394576i | ||||
\(636\) | −1.01077e11 | −0.000971333 | ||||||||
\(637\) | −2.23632e14 | − | 2.23632e14i | −2.13224 | − | 2.13224i | ||||
\(638\) | 3.33250e12 | − | 3.33250e12i | 0.0315259 | − | 0.0315259i | ||||
\(639\) | − | 3.27280e13i | − | 0.307196i | ||||||
\(640\) | 8.42771e12 | − | 4.36414e12i | 0.0784892 | − | 0.0406442i | ||||
\(641\) | 4.23985e12 | 0.0391796 | 0.0195898 | − | 0.999808i | \(-0.493764\pi\) | ||||
0.0195898 | + | 0.999808i | \(0.493764\pi\) | |||||||
\(642\) | −4.71407e11 | − | 4.71407e11i | −0.00432236 | − | 0.00432236i | ||||
\(643\) | −8.49410e13 | + | 8.49410e13i | −0.772792 | + | 0.772792i | −0.978594 | − | 0.205802i | \(-0.934020\pi\) |
0.205802 | + | 0.978594i | \(0.434020\pi\) | |||||||
\(644\) | − | 1.19904e14i | − | 1.08244i | ||||||
\(645\) | 7.58799e11 | − | 2.38865e12i | 0.00679717 | − | 0.0213970i | ||||
\(646\) | −6.53715e12 | −0.0581067 | ||||||||
\(647\) | 6.01950e13 | + | 6.01950e13i | 0.530932 | + | 0.530932i | 0.920850 | − | 0.389918i | \(-0.127496\pi\) |
−0.389918 | + | 0.920850i | \(0.627496\pi\) | |||||||
\(648\) | −2.85103e13 | + | 2.85103e13i | −0.249532 | + | 0.249532i | ||||
\(649\) | − | 1.35965e14i | − | 1.18087i | ||||||
\(650\) | 9.15221e13 | + | 6.46739e13i | 0.788786 | + | 0.557394i | ||||
\(651\) | 4.73781e12 | 0.0405203 | ||||||||
\(652\) | 6.97121e13 | + | 6.97121e13i | 0.591657 | + | 0.591657i | ||||
\(653\) | −7.44850e13 | + | 7.44850e13i | −0.627340 | + | 0.627340i | −0.947398 | − | 0.320058i | \(-0.896298\pi\) |
0.320058 | + | 0.947398i | \(0.396298\pi\) | |||||||
\(654\) | 2.62573e11i | 0.00219463i | ||||||||
\(655\) | −1.16884e14 | − | 3.71303e13i | −0.969498 | − | 0.307979i | ||||
\(656\) | −3.59304e13 | −0.295763 | ||||||||
\(657\) | 5.26239e13 | + | 5.26239e13i | 0.429889 | + | 0.429889i | ||||
\(658\) | 7.83130e13 | − | 7.83130e13i | 0.634899 | − | 0.634899i | ||||
\(659\) | − | 8.41097e13i | − | 0.676736i | −0.941014 | − | 0.338368i | \(-0.890125\pi\) | ||
0.941014 | − | 0.338368i | \(-0.109875\pi\) | |||||||
\(660\) | −6.95106e11 | − | 1.34234e12i | −0.00555049 | − | 0.0107187i | ||||
\(661\) | 1.43686e14 | 1.13870 | 0.569348 | − | 0.822097i | \(-0.307196\pi\) | ||||
0.569348 | + | 0.822097i | \(0.307196\pi\) | |||||||
\(662\) | −6.87822e13 | − | 6.87822e13i | −0.540986 | − | 0.540986i | ||||
\(663\) | 1.87597e12 | − | 1.87597e12i | 0.0146439 | − | 0.0146439i | ||||
\(664\) | − | 3.21393e13i | − | 0.248998i | ||||||
\(665\) | 2.80017e13 | − | 1.45002e13i | 0.215316 | − | 0.111498i | ||||
\(666\) | −1.04029e14 | −0.793935 | ||||||||
\(667\) | −7.36160e12 | − | 7.36160e12i | −0.0557626 | − | 0.0557626i | ||||
\(668\) | −9.50906e12 | + | 9.50906e12i | −0.0714917 | + | 0.0714917i | ||||
\(669\) | 4.76110e12i | 0.0355285i | ||||||||
\(670\) | 2.04423e13 | − | 6.43508e13i | 0.151410 | − | 0.476629i | ||||
\(671\) | 9.15067e13 | 0.672729 | ||||||||
\(672\) | 7.66345e11 | + | 7.66345e11i | 0.00559214 | + | 0.00559214i | ||||
\(673\) | −9.59483e13 | + | 9.59483e13i | −0.694963 | + | 0.694963i | −0.963320 | − | 0.268357i | \(-0.913519\pi\) |
0.268357 | + | 0.963320i | \(0.413519\pi\) | |||||||
\(674\) | − | 7.22253e13i | − | 0.519266i | ||||||
\(675\) | 1.18553e12 | + | 6.89710e12i | 0.00846044 | + | 0.0492207i | ||||
\(676\) | 6.11072e13 | 0.432871 | ||||||||
\(677\) | 6.30382e13 | + | 6.30382e13i | 0.443262 | + | 0.443262i | 0.893107 | − | 0.449845i | \(-0.148521\pi\) |
−0.449845 | + | 0.893107i | \(0.648521\pi\) | |||||||
\(678\) | 1.41687e12 | − | 1.41687e12i | 0.00988966 | − | 0.00988966i | ||||
\(679\) | 4.94994e14i | 3.42966i | ||||||||
\(680\) | 2.97368e13 | + | 9.44644e12i | 0.204526 | + | 0.0649716i | ||||
\(681\) | −8.66294e11 | −0.00591466 | ||||||||
\(682\) | −6.45771e13 | − | 6.45771e13i | −0.437680 | − | 0.437680i | ||||
\(683\) | 1.15776e14 | − | 1.15776e14i | 0.778960 | − | 0.778960i | −0.200694 | − | 0.979654i | \(-0.564320\pi\) |
0.979654 | + | 0.200694i | \(0.0643198\pi\) | |||||||
\(684\) | − | 1.01286e13i | − | 0.0676502i | ||||||
\(685\) | 4.25156e12 | + | 8.21030e12i | 0.0281900 | + | 0.0544385i | ||||
\(686\) | 2.32343e14 | 1.52936 | ||||||||
\(687\) | 1.36963e12 | + | 1.36963e12i | 0.00894993 | + | 0.00894993i | ||||
\(688\) | 2.44919e13 | − | 2.44919e13i | 0.158884 | − | 0.158884i | ||||
\(689\) | − | 1.64947e13i | − | 0.106230i | ||||||
\(690\) | −2.96526e12 | + | 1.53551e12i | −0.0189591 | + | 0.00981763i | ||||
\(691\) | −1.61687e13 | −0.102633 | −0.0513163 | − | 0.998682i | \(-0.516342\pi\) | ||||
−0.0513163 | + | 0.998682i | \(0.516342\pi\) | |||||||
\(692\) | −9.97022e12 | − | 9.97022e12i | −0.0628310 | − | 0.0628310i | ||||
\(693\) | −1.95503e14 | + | 1.95503e14i | −1.22317 | + | 1.22317i | ||||
\(694\) | 2.21911e14i | 1.37842i | ||||||||
\(695\) | 4.55133e13 | − | 1.43273e14i | 0.280682 | − | 0.883568i | ||||
\(696\) | 9.41006e10 | 0.000576164 | ||||||||
\(697\) | −8.35262e13 | − | 8.35262e13i | −0.507760 | − | 0.507760i | ||||
\(698\) | −1.02505e14 | + | 1.02505e14i | −0.618681 | + | 0.618681i | ||||
\(699\) | − | 5.10562e12i | − | 0.0305958i | ||||||
\(700\) | −1.48330e14 | + | 2.54962e13i | −0.882550 | + | 0.151700i | ||||
\(701\) | −5.22848e11 | −0.00308877 | −0.00154439 | − | 0.999999i | \(-0.500492\pi\) | ||||
−0.00154439 | + | 0.999999i | \(0.500492\pi\) | |||||||
\(702\) | 5.81503e12 | + | 5.81503e12i | 0.0341088 | + | 0.0341088i | ||||
\(703\) | 1.84673e13 | − | 1.84673e13i | 0.107554 | − | 0.107554i | ||||
\(704\) | − | 2.08908e13i | − | 0.120807i | ||||||
\(705\) | −2.93959e12 | − | 9.33817e11i | −0.0168788 | − | 0.00536187i | ||||
\(706\) | 6.87353e13 | 0.391883 | ||||||||
\(707\) | 1.19575e14 | + | 1.19575e14i | 0.676927 | + | 0.676927i | ||||
\(708\) | 1.91963e12 | − | 1.91963e12i | 0.0107907 | − | 0.0107907i | ||||
\(709\) | − | 3.36601e14i | − | 1.87882i | −0.342801 | − | 0.939408i | \(-0.611376\pi\) | ||
0.342801 | − | 0.939408i | \(-0.388624\pi\) | |||||||
\(710\) | −1.80329e13 | − | 3.48239e13i | −0.0999481 | − | 0.193013i | ||||
\(711\) | 9.98186e13 | 0.549368 | ||||||||
\(712\) | −6.33439e13 | − | 6.33439e13i | −0.346182 | − | 0.346182i | ||||
\(713\) | −1.42653e14 | + | 1.42653e14i | −0.774163 | + | 0.774163i | ||||
\(714\) | 3.56299e12i | 0.0192010i | ||||||||
\(715\) | 2.19055e14 | − | 1.13434e14i | 1.17226 | − | 0.607032i | ||||
\(716\) | 1.21544e14 | 0.645905 | ||||||||
\(717\) | 1.27070e12 | + | 1.27070e12i | 0.00670572 | + | 0.00670572i | ||||
\(718\) | 3.51129e13 | − | 3.51129e13i | 0.184011 | − | 0.184011i | ||||
\(719\) | 2.19446e13i | 0.114205i | 0.998368 | + | 0.0571023i | \(0.0181861\pi\) | ||||
−0.998368 | + | 0.0571023i | \(0.981814\pi\) | |||||||
\(720\) | −1.46362e13 | + | 4.60739e13i | −0.0756427 | + | 0.238118i | ||||
\(721\) | −9.30404e13 | −0.477524 | ||||||||
\(722\) | −9.62990e13 | − | 9.62990e13i | −0.490835 | − | 0.490835i | ||||
\(723\) | −3.68305e11 | + | 3.68305e11i | −0.00186430 | + | 0.00186430i | ||||
\(724\) | 1.70031e14i | 0.854741i | ||||||||
\(725\) | −7.54148e12 | + | 1.06722e13i | −0.0376502 | + | 0.0532800i | ||||
\(726\) | 2.34990e11 | 0.00116511 | ||||||||
\(727\) | −2.08800e14 | − | 2.08800e14i | −1.02816 | − | 1.02816i | −0.999592 | − | 0.0285650i | \(-0.990906\pi\) |
−0.0285650 | − | 0.999592i | \(-0.509094\pi\) | |||||||
\(728\) | −1.25059e14 | + | 1.25059e14i | −0.611586 | + | 0.611586i | ||||
\(729\) | − | 2.05121e14i | − | 0.996258i | ||||||
\(730\) | 8.49895e13 | + | 2.69985e13i | 0.409969 | + | 0.130234i | ||||
\(731\) | 1.13871e14 | 0.545538 | ||||||||
\(732\) | 1.29195e12 | + | 1.29195e12i | 0.00614737 | + | 0.00614737i | ||||
\(733\) | 1.85035e12 | − | 1.85035e12i | 0.00874448 | − | 0.00874448i | −0.702721 | − | 0.711466i | \(-0.748032\pi\) |
0.711466 | + | 0.702721i | \(0.248032\pi\) | |||||||
\(734\) | 7.61096e13i | 0.357239i | ||||||||
\(735\) | −5.43929e12 | − | 1.05040e13i | −0.0253574 | − | 0.0489684i | ||||
\(736\) | −4.61484e13 | −0.213682 | ||||||||
\(737\) | −1.05094e14 | − | 1.05094e14i | −0.483324 | − | 0.483324i | ||||
\(738\) | 1.29415e14 | − | 1.29415e14i | 0.591156 | − | 0.591156i | ||||
\(739\) | 1.94765e13i | 0.0883668i | 0.999023 | + | 0.0441834i | \(0.0140686\pi\) | ||||
−0.999023 | + | 0.0441834i | \(0.985931\pi\) | |||||||
\(740\) | −1.10692e14 | + | 5.73196e13i | −0.498834 | + | 0.258312i | ||||
\(741\) | −1.03196e12 | −0.00461925 | ||||||||
\(742\) | 1.56640e13 | + | 1.56640e13i | 0.0696441 | + | 0.0696441i | ||||
\(743\) | 8.24518e13 | − | 8.24518e13i | 0.364130 | − | 0.364130i | −0.501201 | − | 0.865331i | \(-0.667108\pi\) |
0.865331 | + | 0.501201i | \(0.167108\pi\) | |||||||
\(744\) | − | 1.82348e12i | − | 0.00799900i | ||||||
\(745\) | 1.01624e14 | − | 3.19906e14i | 0.442809 | − | 1.39393i | ||||
\(746\) | −5.56276e13 | −0.240766 | ||||||||
\(747\) | 1.15760e14 | + | 1.15760e14i | 0.497685 | + | 0.497685i | ||||
\(748\) | 4.85641e13 | − | 4.85641e13i | 0.207399 | − | 0.207399i | ||||
\(749\) | 1.46109e14i | 0.619822i | ||||||||
\(750\) | 2.53007e12 | + | 3.34174e12i | 0.0106617 | + | 0.0140821i | ||||
\(751\) | −1.02351e14 | −0.428443 | −0.214222 | − | 0.976785i | \(-0.568721\pi\) | ||||
−0.214222 | + | 0.976785i | \(0.568721\pi\) | |||||||
\(752\) | −3.01409e13 | − | 3.01409e13i | −0.125334 | − | 0.125334i | ||||
\(753\) | 2.71492e12 | − | 2.71492e12i | 0.0112146 | − | 0.0112146i | ||||
\(754\) | 1.53562e13i | 0.0630124i | ||||||||
\(755\) | −4.33221e14 | − | 1.37621e14i | −1.76593 | − | 0.560982i | ||||
\(756\) | −1.10444e13 | −0.0447231 | ||||||||
\(757\) | 1.73590e14 | + | 1.73590e14i | 0.698304 | + | 0.698304i | 0.964045 | − | 0.265740i | \(-0.0856164\pi\) |
−0.265740 | + | 0.964045i | \(0.585616\pi\) | |||||||
\(758\) | −1.86290e13 | + | 1.86290e13i | −0.0744462 | + | 0.0744462i | ||||
\(759\) | 7.35037e12i | 0.0291810i | ||||||||
\(760\) | −5.58081e12 | − | 1.07772e13i | −0.0220104 | − | 0.0425050i | ||||
\(761\) | −1.13426e14 | −0.444416 | −0.222208 | − | 0.974999i | \(-0.571326\pi\) | ||||
−0.222208 | + | 0.974999i | \(0.571326\pi\) | |||||||
\(762\) | −1.42573e12 | − | 1.42573e12i | −0.00554961 | − | 0.00554961i | ||||
\(763\) | 4.06912e13 | − | 4.06912e13i | 0.157354 | − | 0.157354i | ||||
\(764\) | − | 2.03062e14i | − | 0.780121i | ||||||
\(765\) | −1.41131e14 | + | 7.30820e13i | −0.538659 | + | 0.278935i | ||||
\(766\) | −8.69800e13 | −0.329819 | ||||||||
\(767\) | 3.13262e14 | + | 3.13262e14i | 1.18013 | + | 1.18013i | ||||
\(768\) | 2.94949e11 | − | 2.94949e11i | 0.00110393 | − | 0.00110393i | ||||
\(769\) | 1.80904e14i | 0.672692i | 0.941738 | + | 0.336346i | \(0.109191\pi\) | ||||
−0.941738 | + | 0.336346i | \(0.890809\pi\) | |||||||
\(770\) | −1.00302e14 | + | 3.15745e14i | −0.370558 | + | 1.16649i | ||||
\(771\) | −3.55746e12 | −0.0130578 | ||||||||
\(772\) | 1.01586e14 | + | 1.01586e14i | 0.370465 | + | 0.370465i | ||||
\(773\) | 9.08321e13 | − | 9.08321e13i | 0.329110 | − | 0.329110i | −0.523138 | − | 0.852248i | \(-0.675239\pi\) |
0.852248 | + | 0.523138i | \(0.175239\pi\) | |||||||
\(774\) | 1.76430e14i | 0.635139i | ||||||||
\(775\) | 2.06805e14 | + | 1.46139e14i | 0.739696 | + | 0.522704i | ||||
\(776\) | 1.90512e14 | 0.677040 | ||||||||
\(777\) | −1.00654e13 | − | 1.00654e13i | −0.0355405 | − | 0.0355405i | ||||
\(778\) | 2.76160e14 | − | 2.76160e14i | 0.968864 | − | 0.968864i | ||||
\(779\) | 4.59474e13i | 0.160167i | ||||||||
\(780\) | 4.69427e12 | + | 1.49122e12i | 0.0162590 | + | 0.00516499i | ||||
\(781\) | −8.63223e13 | −0.297076 | ||||||||
\(782\) | −1.07280e14 | − | 1.07280e14i | −0.366845 | − | 0.366845i | ||||
\(783\) | −6.78078e11 | + | 6.78078e11i | −0.00230394 | + | 0.00230394i | ||||
\(784\) | − | 1.63473e14i | − | 0.551907i | ||||||
\(785\) | 1.23722e14 | + | 2.38924e14i | 0.415050 | + | 0.801514i | ||||
\(786\) | −5.39010e12 | −0.0179674 | ||||||||
\(787\) | 2.81291e14 | + | 2.81291e14i | 0.931714 | + | 0.931714i | 0.997813 | − | 0.0660987i | \(-0.0210552\pi\) |
−0.0660987 | + | 0.997813i | \(0.521055\pi\) | |||||||
\(788\) | −1.89248e13 | + | 1.89248e13i | −0.0622874 | + | 0.0622874i | ||||
\(789\) | 9.02838e12i | 0.0295274i | ||||||||
\(790\) | 1.06211e14 | − | 5.49995e13i | 0.345171 | − | 0.178741i | ||||
\(791\) | −4.39147e14 | −1.41817 | ||||||||
\(792\) | 7.52448e13 | + | 7.52448e13i | 0.241463 | + | 0.241463i | ||||
\(793\) | −2.10831e14 | + | 2.10831e14i | −0.672309 | + | 0.672309i | ||||
\(794\) | − | 2.66311e14i | − | 0.843891i | ||||||
\(795\) | 1.86781e11 | − | 5.87973e11i | 0.000588161 | − | 0.00185149i | ||||
\(796\) | −1.36050e14 | −0.425730 | ||||||||
\(797\) | −2.12730e14 | − | 2.12730e14i | −0.661511 | − | 0.661511i | 0.294225 | − | 0.955736i | \(-0.404939\pi\) |
−0.955736 | + | 0.294225i | \(0.904939\pi\) | |||||||
\(798\) | 9.79992e11 | − | 9.79992e11i | 0.00302836 | − | 0.00302836i | ||||
\(799\) | − | 1.40135e14i | − | 0.430341i | ||||||
\(800\) | 9.81291e12 | + | 5.70890e13i | 0.0299466 | + | 0.174222i | ||||
\(801\) | 4.56306e14 | 1.38386 | ||||||||
\(802\) | −2.17146e14 | − | 2.17146e14i | −0.654456 | − | 0.654456i | ||||
\(803\) | 1.38799e14 | − | 1.38799e14i | 0.415728 | − | 0.415728i | ||||
\(804\) | − | 2.96755e12i | − | 0.00883319i | ||||||
\(805\) | 6.97489e14 | + | 2.21570e14i | 2.06328 | + | 0.655439i | ||||
\(806\) | 2.97571e14 | 0.874814 | ||||||||
\(807\) | 6.77712e12 | + | 6.77712e12i | 0.0198005 | + | 0.0198005i | ||||
\(808\) | 4.60216e13 | − | 4.60216e13i | 0.133630 | − | 0.133630i | ||||
\(809\) | 1.61950e14i | 0.467344i | 0.972315 | + | 0.233672i | \(0.0750743\pi\) | ||||
−0.972315 | + | 0.233672i | \(0.924926\pi\) | |||||||
\(810\) | −1.13162e14 | − | 2.18530e14i | −0.324545 | − | 0.626738i | ||||
\(811\) | −6.22551e14 | −1.77448 | −0.887239 | − | 0.461311i | \(-0.847379\pi\) | ||||
−0.887239 | + | 0.461311i | \(0.847379\pi\) | |||||||
\(812\) | −1.45829e13 | − | 1.45829e13i | −0.0413107 | − | 0.0413107i | ||||
\(813\) | 3.33105e12 | − | 3.33105e12i | 0.00937838 | − | 0.00937838i | ||||
\(814\) | 2.74385e14i | 0.767782i | ||||||||
\(815\) | −5.34340e14 | + | 2.76698e14i | −1.48604 | + | 0.769518i | ||||
\(816\) | 1.37132e12 | 0.00379041 | ||||||||
\(817\) | −3.13199e13 | − | 3.13199e13i | −0.0860419 | − | 0.0860419i | ||||
\(818\) | −1.24877e14 | + | 1.24877e14i | −0.340970 | + | 0.340970i | ||||
\(819\) | − | 9.00878e14i | − | 2.44482i | ||||||
\(820\) | 6.63958e13 | − | 2.09009e14i | 0.179090 | − | 0.563763i | ||||
\(821\) | −5.11192e14 | −1.37047 | −0.685233 | − | 0.728324i | \(-0.740300\pi\) | ||||
−0.685233 | + | 0.728324i | \(0.740300\pi\) | |||||||
\(822\) | 2.87340e11 | + | 2.87340e11i | 0.000765662 | + | 0.000765662i | ||||
\(823\) | 7.75944e12 | − | 7.75944e12i | 0.0205509 | − | 0.0205509i | −0.696757 | − | 0.717308i | \(-0.745374\pi\) |
0.717308 | + | 0.696757i | \(0.245374\pi\) | |||||||
\(824\) | 3.58092e13i | 0.0942667i | ||||||||
\(825\) | 9.09295e12 | − | 1.56297e12i | 0.0237922 | − | 0.00408960i | ||||
\(826\) | −5.94973e14 | −1.54738 | ||||||||
\(827\) | −3.24754e14 | − | 3.24754e14i | −0.839512 | − | 0.839512i | 0.149283 | − | 0.988795i | \(-0.452304\pi\) |
−0.988795 | + | 0.149283i | \(0.952304\pi\) | |||||||
\(828\) | 1.66218e14 | − | 1.66218e14i | 0.427097 | − | 0.427097i | ||||
\(829\) | − | 3.64674e14i | − | 0.931392i | −0.884945 | − | 0.465696i | \(-0.845804\pi\) | ||
0.884945 | − | 0.465696i | \(-0.154196\pi\) | |||||||
\(830\) | 1.86956e14 | + | 5.93901e13i | 0.474624 | + | 0.150773i | ||||
\(831\) | 6.93919e12 | 0.0175107 | ||||||||
\(832\) | 4.81324e13 | + | 4.81324e13i | 0.120732 | + | 0.120732i | ||||
\(833\) | 3.80020e14 | − | 3.80020e14i | 0.947505 | − | 0.947505i | ||||
\(834\) | − | 6.60705e12i | − | 0.0163749i | ||||||
\(835\) | −3.77430e13 | − | 7.28866e13i | −0.0929831 | − | 0.179562i | ||||
\(836\) | −2.67149e13 | −0.0654217 | ||||||||
\(837\) | 1.31398e13 | + | 1.31398e13i | 0.0319860 | + | 0.0319860i | ||||
\(838\) | −3.33445e14 | + | 3.33445e14i | −0.806872 | + | 0.806872i | ||||
\(839\) | 4.36744e14i | 1.05055i | 0.850932 | + | 0.525276i | \(0.176038\pi\) | ||||
−0.850932 | + | 0.525276i | \(0.823962\pi\) | |||||||
\(840\) | −5.87400e12 | + | 3.04175e12i | −0.0140455 | + | 0.00727321i | ||||
\(841\) | 4.18917e14 | 0.995744 | ||||||||
\(842\) | 3.48857e14 | + | 3.48857e14i | 0.824303 | + | 0.824303i | ||||
\(843\) | −1.28148e13 | + | 1.28148e13i | −0.0301004 | + | 0.0301004i | ||||
\(844\) | 1.24251e13i | 0.0290127i | ||||||||
\(845\) | −1.12920e14 | + | 3.55464e14i | −0.262112 | + | 0.825110i | ||||
\(846\) | 2.17124e14 | 0.501022 | ||||||||
\(847\) | −3.64166e13 | − | 3.64166e13i | −0.0835376 | − | 0.0835376i | ||||
\(848\) | 6.02874e12 | − | 6.02874e12i | 0.0137483 | − | 0.0137483i | ||||
\(849\) | − | 4.32228e12i | − | 0.00979882i | ||||||
\(850\) | −1.09901e14 | + | 1.55524e14i | −0.247689 | + | 0.350513i | ||||
\(851\) | 6.06124e14 | 1.35804 | ||||||||
\(852\) | −1.21875e12 | − | 1.21875e12i | −0.00271467 | − | 0.00271467i | ||||
\(853\) | 3.85926e14 | − | 3.85926e14i | 0.854592 | − | 0.854592i | −0.136103 | − | 0.990695i | \(-0.543458\pi\) |
0.990695 | + | 0.136103i | \(0.0434577\pi\) | |||||||
\(854\) | − | 4.00428e14i | − | 0.881526i | ||||||
\(855\) | 5.89187e13 | + | 1.87166e13i | 0.128950 | + | 0.0409635i | ||||
\(856\) | 5.62340e13 | 0.122357 | ||||||||
\(857\) | 6.91729e13 | + | 6.91729e13i | 0.149635 | + | 0.149635i | 0.777955 | − | 0.628320i | \(-0.216257\pi\) |
−0.628320 | + | 0.777955i | \(0.716257\pi\) | |||||||
\(858\) | 7.66637e12 | − | 7.66637e12i | 0.0164875 | − | 0.0164875i | ||||
\(859\) | 5.82240e14i | 1.24490i | 0.782658 | + | 0.622452i | \(0.213863\pi\) | ||||
−0.782658 | + | 0.622452i | \(0.786137\pi\) | |||||||
\(860\) | 9.72121e13 | + | 1.87729e14i | 0.206647 | + | 0.399061i | ||||
\(861\) | 2.50430e13 | 0.0529262 | ||||||||
\(862\) | 8.40951e13 | + | 8.40951e13i | 0.176699 | + | 0.176699i | ||||
\(863\) | −5.07338e14 | + | 5.07338e14i | −1.05985 | + | 1.05985i | −0.0617562 | + | 0.998091i | \(0.519670\pi\) |
−0.998091 | + | 0.0617562i | \(0.980330\pi\) | |||||||
\(864\) | 4.25073e12i | 0.00882867i | ||||||||
\(865\) | 7.64213e13 | − | 3.95734e13i | 0.157810 | − | 0.0817190i | ||||
\(866\) | −2.65183e14 | −0.544448 | ||||||||
\(867\) | −5.46494e12 | − | 5.46494e12i | −0.0111555 | − | 0.0111555i | ||||
\(868\) | −2.82586e14 | + | 2.82586e14i | −0.573524 | + | 0.573524i | ||||
\(869\) | − | 2.63278e14i | − | 0.531271i | ||||||
\(870\) | −1.73888e11 | + | 5.47389e11i | −0.000348879 | + | 0.00109825i | ||||
\(871\) | 4.84271e14 | 0.966046 | ||||||||
\(872\) | −1.56611e13 | − | 1.56611e13i | −0.0310628 | − | 0.0310628i | ||||
\(873\) | −6.86190e14 | + | 6.86190e14i | −1.35324 | + | 1.35324i | ||||
\(874\) | 5.90140e13i | 0.115717i | ||||||||
\(875\) | 1.25786e14 | − | 9.09959e14i | 0.245241 | − | 1.77412i | ||||
\(876\) | 3.91930e12 | 0.00759781 | ||||||||
\(877\) | −5.29453e13 | − | 5.29453e13i | −0.102054 | − | 0.102054i | 0.654236 | − | 0.756290i | \(-0.272990\pi\) |
−0.756290 | + | 0.654236i | \(0.772990\pi\) | |||||||
\(878\) | −2.64649e14 | + | 2.64649e14i | −0.507221 | + | 0.507221i | ||||
\(879\) | − | 7.65303e12i | − | 0.0145844i | ||||||
\(880\) | 1.21523e14 | + | 3.86041e13i | 0.230274 | + | 0.0731509i | ||||
\(881\) | 6.56272e14 | 1.23653 | 0.618265 | − | 0.785970i | \(-0.287836\pi\) | ||||
0.618265 | + | 0.785970i | \(0.287836\pi\) | |||||||
\(882\) | 5.88800e14 | + | 5.88800e14i | 1.10312 | + | 1.10312i | ||||
\(883\) | 5.36781e14 | − | 5.36781e14i | 0.999986 | − | 0.999986i | −1.42714e−5 | − | 1.00000i | \(-0.500005\pi\) |
1.00000 | 1.42714e-5i | \(4.54272e-6\pi\) | ||||||||
\(884\) | 2.23783e14i | 0.414540i | ||||||||
\(885\) | 7.61932e12 | + | 1.47139e13i | 0.0140346 | + | 0.0271026i | ||||
\(886\) | −1.68522e14 | −0.308665 | ||||||||
\(887\) | −4.97149e14 | − | 4.97149e14i | −0.905459 | − | 0.905459i | 0.0904426 | − | 0.995902i | \(-0.471172\pi\) |
−0.995902 | + | 0.0904426i | \(0.971172\pi\) | |||||||
\(888\) | −3.87393e12 | + | 3.87393e12i | −0.00701596 | + | 0.00701596i | ||||
\(889\) | 4.41893e14i | 0.795808i | ||||||||
\(890\) | 4.85528e14 | − | 2.51422e14i | 0.869490 | − | 0.450250i | ||||
\(891\) | −5.41698e14 | −0.964647 | ||||||||
\(892\) | −2.83975e14 | − | 2.83975e14i | −0.502870 | − | 0.502870i | ||||
\(893\) | −3.85438e13 | + | 3.85438e13i | −0.0678731 | + | 0.0678731i | ||||
\(894\) | − | 1.47525e13i | − | 0.0258332i | ||||||
\(895\) | −2.24601e14 | + | 7.07028e14i | −0.391108 | + | 1.23118i | ||||
\(896\) | −9.14170e13 | −0.158302 | ||||||||
\(897\) | −1.69352e13 | − | 1.69352e13i | −0.0291628 | − | 0.0291628i | ||||
\(898\) | 4.23206e14 | − | 4.23206e14i | 0.724719 | − | 0.724719i | ||||
\(899\) | 3.46991e13i | 0.0590909i | ||||||||
\(900\) | −2.40968e14 | − | 1.70280e14i | −0.408082 | − | 0.288370i | ||||
\(901\) | 2.80296e13 | 0.0472056 | ||||||||
\(902\) | −3.41340e14 | − | 3.41340e14i | −0.571683 | − | 0.571683i | ||||
\(903\) | −1.70705e13 | + | 1.70705e13i | −0.0284320 | + | 0.0284320i | ||||
\(904\) | 1.69018e14i | 0.279957i | ||||||||
\(905\) | −9.89078e14 | − | 3.14199e14i | −1.62925 | − | 0.517562i | ||||
\(906\) | −1.99780e13 | −0.0327274 | ||||||||
\(907\) | −5.36786e14 | − | 5.36786e14i | −0.874511 | − | 0.874511i | 0.118449 | − | 0.992960i | \(-0.462208\pi\) |
−0.992960 | + | 0.118449i | \(0.962208\pi\) | |||||||
\(908\) | 5.16699e13 | − | 5.16699e13i | 0.0837161 | − | 0.0837161i | ||||
\(909\) | 3.31523e14i | 0.534188i | ||||||||
\(910\) | −4.96379e14 | − | 9.58571e14i | −0.795438 | − | 1.53609i | ||||
\(911\) | 5.84313e14 | 0.931224 | 0.465612 | − | 0.884989i | \(-0.345834\pi\) | ||||
0.465612 | + | 0.884989i | \(0.345834\pi\) | |||||||
\(912\) | −3.77177e11 | − | 3.77177e11i | −0.000597821 | − | 0.000597821i | ||||
\(913\) | 3.05325e14 | − | 3.05325e14i | 0.481291 | − | 0.481291i | ||||
\(914\) | − | 3.38543e14i | − | 0.530742i | ||||||
\(915\) | −9.90271e12 | + | 5.12794e12i | −0.0154401 | + | 0.00799536i | ||||
\(916\) | −1.63383e14 | −0.253355 | ||||||||
\(917\) | 8.35309e14 | + | 8.35309e14i | 1.28825 | + | 1.28825i | ||||
\(918\) | −9.88153e12 | + | 9.88153e12i | −0.0151569 | + | 0.0151569i | ||||
\(919\) | 8.03593e14i | 1.22591i | 0.790118 | + | 0.612955i | \(0.210019\pi\) | ||||
−0.790118 | + | 0.612955i | \(0.789981\pi\) | |||||||
\(920\) | 8.52775e13 | − | 2.68448e14i | 0.129388 | − | 0.407306i | ||||
\(921\) | −1.54901e13 | −0.0233753 | ||||||||
\(922\) | 2.51190e14 | + | 2.51190e14i | 0.377006 | + | 0.377006i | ||||
\(923\) | 1.98887e14 | − | 1.98887e14i | 0.296891 | − | 0.296891i | ||||
\(924\) | 1.45606e13i | 0.0216182i | ||||||||
\(925\) | −1.28885e14 | − | 7.49820e14i | −0.190324 | − | 1.10726i | ||||
\(926\) | 7.71431e14 | 1.13303 | ||||||||
\(927\) | −1.28978e14 | − | 1.28978e14i | −0.188416 | − | 0.188416i | ||||
\(928\) | −5.61262e12 | + | 5.61262e12i | −0.00815503 | + | 0.00815503i | ||||
\(929\) | − | 1.56057e14i | − | 0.225530i | −0.993622 | − | 0.112765i | \(-0.964029\pi\) | ||
0.993622 | − | 0.112765i | \(-0.0359708\pi\) | |||||||
\(930\) | 1.06073e13 | + | 3.36960e12i | 0.0152472 | + | 0.00484355i | ||||
\(931\) | −2.09047e14 | −0.298879 | ||||||||
\(932\) | 3.04524e14 | + | 3.04524e14i | 0.433054 | + | 0.433054i | ||||
\(933\) | −4.95331e12 | + | 4.95331e12i | −0.00700627 | + | 0.00700627i | ||||
\(934\) | − | 3.30167e14i | − | 0.464515i | ||||||
\(935\) | 1.92759e14 | + | 3.72242e14i | 0.269747 | + | 0.520915i | ||||
\(936\) | −3.46728e14 | −0.482625 | ||||||||
\(937\) | −9.59284e14 | − | 9.59284e14i | −1.32816 | − | 1.32816i | −0.906977 | − | 0.421180i | \(-0.861616\pi\) |
−0.421180 | − | 0.906977i | \(-0.638384\pi\) | |||||||
\(938\) | −4.59884e14 | + | 4.59884e14i | −0.633335 | + | 0.633335i | ||||
\(939\) | − | 2.38889e13i | − | 0.0327242i | ||||||
\(940\) | 2.31029e14 | − | 1.19634e14i | 0.314795 | − | 0.163011i | ||||
\(941\) | 7.62944e13 | 0.103406 | 0.0517028 | − | 0.998663i | \(-0.483535\pi\) | ||||
0.0517028 | + | 0.998663i | \(0.483535\pi\) | |||||||
\(942\) | 8.36174e12 | + | 8.36174e12i | 0.0112731 | + | 0.0112731i | ||||
\(943\) | −7.54031e14 | + | 7.54031e14i | −1.01118 | + | 1.01118i | ||||
\(944\) | 2.28992e14i | 0.305464i | ||||||||
\(945\) | 2.04089e13 | − | 6.42458e13i | 0.0270807 | − | 0.0852483i | ||||
\(946\) | 4.65347e14 | 0.614216 | ||||||||
\(947\) | 4.05198e14 | + | 4.05198e14i | 0.532007 | + | 0.532007i | 0.921169 | − | 0.389162i | \(-0.127235\pi\) |
−0.389162 | + | 0.921169i | \(0.627235\pi\) | |||||||
\(948\) | 3.71712e12 | − | 3.71712e12i | 0.00485473 | − | 0.00485473i | ||||
\(949\) | 6.39587e14i | 0.830937i | ||||||||
\(950\) | 7.30046e13 | − | 1.25486e13i | 0.0943479 | − | 0.0162173i | ||||
\(951\) | 9.42202e11 | 0.00121127 | ||||||||
\(952\) | −2.12514e14 | − | 2.12514e14i | −0.271771 | − | 0.271771i | ||||
\(953\) | 3.94201e14 | − | 3.94201e14i | 0.501480 | − | 0.501480i | −0.410418 | − | 0.911898i | \(-0.634617\pi\) |
0.911898 | + | 0.410418i | \(0.134617\pi\) | |||||||
\(954\) | 4.34288e13i | 0.0549587i | ||||||||
\(955\) | 1.18122e15 | + | 3.75238e14i | 1.48702 | + | 0.472378i | ||||
\(956\) | −1.51581e14 | −0.189826 | ||||||||
\(957\) | 8.93960e11 | + | 8.93960e11i | 0.00111367 | + | 0.00111367i | ||||
\(958\) | 5.17045e13 | − | 5.17045e13i | 0.0640769 | − | 0.0640769i | ||||
\(959\) | − | 8.90587e13i | − | 0.109795i | ||||||
\(960\) | 1.17070e12 | + | 2.26077e12i | 0.00143579 | + | 0.00277268i | ||||
\(961\) | −1.47230e14 | −0.179630 | ||||||||
\(962\) | −6.32182e14 | − | 6.32182e14i | −0.767303 | − | 0.767303i | ||||
\(963\) | −2.02545e14 | + | 2.02545e14i | −0.244562 | + | 0.244562i | ||||
\(964\) | − | 4.39349e13i | − | 0.0527746i | ||||||
\(965\) | −7.78653e14 | + | 4.03211e14i | −0.930480 | + | 0.481833i | ||||
\(966\) | 3.21648e13 | 0.0382380 | ||||||||
\(967\) | 3.51058e14 | + | 3.51058e14i | 0.415190 | + | 0.415190i | 0.883542 | − | 0.468352i | \(-0.155152\pi\) |
−0.468352 | + | 0.883542i | \(0.655152\pi\) | |||||||
\(968\) | −1.40159e13 | + | 1.40159e13i | −0.0164909 | + | 0.0164909i | ||||
\(969\) | − | 1.75362e12i | − | 0.00205266i | ||||||
\(970\) | −3.52047e14 | + | 1.10822e15i | −0.409961 | + | 1.29053i | ||||
\(971\) | 6.03816e14 | 0.699533 | 0.349767 | − | 0.936837i | \(-0.386261\pi\) | ||||
0.349767 | + | 0.936837i | \(0.386261\pi\) | |||||||
\(972\) | −2.29679e13 | − | 2.29679e13i | −0.0264722 | − | 0.0264722i | ||||
\(973\) | −1.02390e15 | + | 1.02390e15i | −1.17407 | + | 1.17407i | ||||
\(974\) | − | 1.55686e14i | − | 0.177605i | ||||||
\(975\) | −1.73491e13 | + | 2.45512e13i | −0.0196903 | + | 0.0278644i | ||||
\(976\) | −1.54116e14 | −0.174020 | ||||||||
\(977\) | 6.92399e14 | + | 6.92399e14i | 0.777828 | + | 0.777828i | 0.979461 | − | 0.201633i | \(-0.0646250\pi\) |
−0.201633 | + | 0.979461i | \(0.564625\pi\) | |||||||
\(978\) | −1.87006e13 | + | 1.87006e13i | −0.0209007 | + | 0.0209007i | ||||
\(979\) | − | 1.20354e15i | − | 1.33828i | ||||||
\(980\) | 9.50932e14 | + | 3.02081e14i | 1.05201 | + | 0.334190i | ||||
\(981\) | 1.12817e14 | 0.124174 | ||||||||
\(982\) | 8.52248e14 | + | 8.52248e14i | 0.933272 | + | 0.933272i | ||||
\(983\) | 1.12973e15 | − | 1.12973e15i | 1.23086 | − | 1.23086i | 0.267220 | − | 0.963636i | \(-0.413895\pi\) |
0.963636 | − | 0.267220i | \(-0.0861049\pi\) | |||||||
\(984\) | − | 9.63850e12i | − | 0.0104480i | ||||||
\(985\) | −7.51155e13 | − | 1.45058e14i | −0.0810118 | − | 0.156444i | ||||
\(986\) | −2.60949e13 | −0.0280008 | ||||||||
\(987\) | 2.10078e13 | + | 2.10078e13i | 0.0224282 | + | 0.0224282i | ||||
\(988\) | 6.15511e13 | − | 6.15511e13i | 0.0653809 | − | 0.0653809i | ||||
\(989\) | − | 1.02797e15i | − | 1.08642i | ||||||
\(990\) | −5.76748e14 | + | 2.98659e14i | −0.606472 | + | 0.314050i | ||||
\(991\) | 1.25369e15 | 1.31166 | 0.655830 | − | 0.754909i | \(-0.272319\pi\) | ||||
0.655830 | + | 0.754909i | \(0.272319\pi\) | |||||||
\(992\) | 1.08761e14 | + | 1.08761e14i | 0.113218 | + | 0.113218i | ||||
\(993\) | 1.84511e13 | − | 1.84511e13i | 0.0191107 | − | 0.0191107i | ||||
\(994\) | 3.77742e14i | 0.389281i | ||||||||
\(995\) | 2.51407e14 | − | 7.91412e14i | 0.257788 | − | 0.811498i | ||||
\(996\) | 8.62151e12 | 0.00879603 | ||||||||
\(997\) | −6.01771e14 | − | 6.01771e14i | −0.610880 | − | 0.610880i | 0.332296 | − | 0.943175i | \(-0.392177\pi\) |
−0.943175 | + | 0.332296i | \(0.892177\pi\) | |||||||
\(998\) | 1.06989e14 | − | 1.06989e14i | 0.108066 | − | 0.108066i | ||||
\(999\) | − | 5.58302e13i | − | 0.0561102i |
(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 | 10.11.c.c.7.2 | yes | 6 | |
3.2 | odd | 2 | 90.11.g.c.37.3 | 6 | |||
4.3 | odd | 2 | 80.11.p.c.17.2 | 6 | |||
5.2 | odd | 4 | 50.11.c.e.43.2 | 6 | |||
5.3 | odd | 4 | inner | 10.11.c.c.3.2 | ✓ | 6 | |
5.4 | even | 2 | 50.11.c.e.7.2 | 6 | |||
15.8 | even | 4 | 90.11.g.c.73.3 | 6 | |||
20.3 | even | 4 | 80.11.p.c.33.2 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
10.11.c.c.3.2 | ✓ | 6 | 5.3 | odd | 4 | inner | |
10.11.c.c.7.2 | yes | 6 | 1.1 | even | 1 | trivial | |
50.11.c.e.7.2 | 6 | 5.4 | even | 2 | |||
50.11.c.e.43.2 | 6 | 5.2 | odd | 4 | |||
80.11.p.c.17.2 | 6 | 4.3 | odd | 2 | |||
80.11.p.c.33.2 | 6 | 20.3 | even | 4 | |||
90.11.g.c.37.3 | 6 | 3.2 | odd | 2 | |||
90.11.g.c.73.3 | 6 | 15.8 | even | 4 |