Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,20,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 20, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 20);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 20 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), 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: | \(27.4580035868\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.21 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.20.b.a.11.22 |
$q$-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 \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 183.227 | − | 700.511i | 0.253049 | − | 0.967453i | ||||
\(3\) | −22981.7 | − | 25181.4i | −0.674111 | − | 0.738630i | ||||
\(4\) | −457144. | − | 256705.i | −0.871932 | − | 0.489627i | ||||
\(5\) | 6.84881e6i | 1.56820i | 0.620637 | + | 0.784098i | \(0.286874\pi\) | ||||
−0.620637 | + | 0.784098i | \(0.713126\pi\) | |||||||
\(6\) | −2.18507e7 | + | 1.14851e7i | −0.885174 | + | 0.465261i | ||||
\(7\) | − | 8.10387e7i | − | 0.759034i | −0.925185 | − | 0.379517i | \(-0.876090\pi\) | ||
0.925185 | − | 0.379517i | \(-0.123910\pi\) | |||||||
\(8\) | −2.63586e8 | + | 2.73199e8i | −0.694333 | + | 0.719654i | ||||
\(9\) | −1.05940e8 | + | 1.15742e9i | −0.0911499 | + | 0.995837i | ||||
\(10\) | 4.79767e9 | + | 1.25489e9i | 1.51716 | + | 0.396831i | ||||
\(11\) | 1.02621e10 | 1.31222 | 0.656108 | − | 0.754667i | \(-0.272202\pi\) | ||||
0.656108 | + | 0.754667i | \(0.272202\pi\) | |||||||
\(12\) | 4.04177e9 | + | 1.74110e10i | 0.226126 | + | 0.974098i | ||||
\(13\) | −9.13471e9 | −0.238909 | −0.119455 | − | 0.992840i | \(-0.538115\pi\) | ||||
−0.119455 | + | 0.992840i | \(0.538115\pi\) | |||||||
\(14\) | −5.67685e10 | − | 1.48485e10i | −0.734330 | − | 0.192073i | ||||
\(15\) | 1.72462e11 | − | 1.57398e11i | 1.15832 | − | 1.05714i | ||||
\(16\) | 1.43083e11 | + | 2.34702e11i | 0.520532 | + | 0.853842i | ||||
\(17\) | − | 6.29700e11i | − | 1.28786i | −0.765084 | − | 0.643930i | \(-0.777303\pi\) | ||
0.765084 | − | 0.643930i | \(-0.222697\pi\) | |||||||
\(18\) | 7.91377e11 | + | 2.86284e11i | 0.940361 | + | 0.340179i | ||||
\(19\) | 2.01024e12i | 1.42918i | 0.699542 | + | 0.714591i | \(0.253387\pi\) | ||||
−0.699542 | + | 0.714591i | \(0.746613\pi\) | |||||||
\(20\) | 1.75813e12 | − | 3.13089e12i | 0.767830 | − | 1.36736i | ||||
\(21\) | −2.04066e12 | + | 1.86241e12i | −0.560646 | + | 0.511673i | ||||
\(22\) | 1.88029e12 | − | 7.18871e12i | 0.332055 | − | 1.26951i | ||||
\(23\) | −2.86699e12 | −0.331904 | −0.165952 | − | 0.986134i | \(-0.553070\pi\) | ||||
−0.165952 | + | 0.986134i | \(0.553070\pi\) | |||||||
\(24\) | 1.29372e13 | + | 3.58871e11i | 0.999615 | + | 0.0277288i | ||||
\(25\) | −2.78327e13 | −1.45924 | ||||||||
\(26\) | −1.67373e12 | + | 6.39897e12i | −0.0604558 | + | 0.231134i | ||||
\(27\) | 3.15802e13 | − | 2.39319e13i | 0.797001 | − | 0.603978i | ||||
\(28\) | −2.08031e13 | + | 3.70463e13i | −0.371643 | + | 0.661826i | ||||
\(29\) | 8.26930e12i | 0.105849i | 0.998599 | + | 0.0529246i | \(0.0168543\pi\) | ||||
−0.998599 | + | 0.0529246i | \(0.983146\pi\) | |||||||
\(30\) | −7.86590e13 | − | 1.49651e14i | −0.729620 | − | 1.38813i | ||||
\(31\) | − | 1.75199e14i | − | 1.19013i | −0.803677 | − | 0.595065i | \(-0.797126\pi\) | ||
0.803677 | − | 0.595065i | \(-0.202874\pi\) | |||||||
\(32\) | 1.90628e14 | − | 5.72271e13i | 0.957773 | − | 0.287526i | ||||
\(33\) | −2.35841e14 | − | 2.58413e14i | −0.884579 | − | 0.969243i | ||||
\(34\) | −4.41112e14 | − | 1.15378e14i | −1.24595 | − | 0.325892i | ||||
\(35\) | 5.55019e14 | 1.19031 | ||||||||
\(36\) | 3.45547e14 | − | 5.01913e14i | 0.567065 | − | 0.823673i | ||||
\(37\) | 1.30858e15 | 1.65532 | 0.827661 | − | 0.561228i | \(-0.189671\pi\) | ||||
0.827661 | + | 0.561228i | \(0.189671\pi\) | |||||||
\(38\) | 1.40819e15 | + | 3.68330e14i | 1.38267 | + | 0.361653i | ||||
\(39\) | 2.09932e14 | + | 2.30024e14i | 0.161051 | + | 0.176466i | ||||
\(40\) | −1.87109e15 | − | 1.80525e15i | −1.12856 | − | 1.08885i | ||||
\(41\) | − | 5.00469e14i | − | 0.238743i | −0.992850 | − | 0.119372i | \(-0.961912\pi\) | ||
0.992850 | − | 0.119372i | \(-0.0380880\pi\) | |||||||
\(42\) | 9.30734e14 | + | 1.77075e15i | 0.353149 | + | 0.671877i | ||||
\(43\) | − | 2.29241e15i | − | 0.695573i | −0.937574 | − | 0.347786i | \(-0.886933\pi\) | ||
0.937574 | − | 0.347786i | \(-0.113067\pi\) | |||||||
\(44\) | −4.69125e15 | − | 2.63433e15i | −1.14416 | − | 0.642496i | ||||
\(45\) | −7.92697e15 | − | 7.25563e14i | −1.56167 | − | 0.142941i | ||||
\(46\) | −5.25311e14 | + | 2.00836e15i | −0.0839879 | + | 0.321101i | ||||
\(47\) | 8.03815e15 | 1.04767 | 0.523837 | − | 0.851818i | \(-0.324500\pi\) | ||||
0.523837 | + | 0.851818i | \(0.324500\pi\) | |||||||
\(48\) | 2.62184e15 | − | 8.99689e15i | 0.279778 | − | 0.960065i | ||||
\(49\) | 4.83162e15 | 0.423868 | ||||||||
\(50\) | −5.09972e15 | + | 1.94971e16i | −0.369259 | + | 1.41174i | ||||
\(51\) | −1.58567e16 | + | 1.44716e16i | −0.951253 | + | 0.868161i | ||||
\(52\) | 4.17587e15 | + | 2.34493e15i | 0.208313 | + | 0.116976i | ||||
\(53\) | 2.50512e16i | 1.04281i | 0.853308 | + | 0.521407i | \(0.174593\pi\) | ||||
−0.853308 | + | 0.521407i | \(0.825407\pi\) | |||||||
\(54\) | −1.09782e16 | − | 2.65072e16i | −0.382640 | − | 0.923897i | ||||
\(55\) | 7.02831e16i | 2.05781i | ||||||||
\(56\) | 2.21397e16 | + | 2.13607e16i | 0.546242 | + | 0.527022i | ||||
\(57\) | 5.06204e16 | − | 4.61987e16i | 1.05564 | − | 0.963427i | ||||
\(58\) | 5.79274e15 | + | 1.51516e15i | 0.102404 | + | 0.0267851i | ||||
\(59\) | 6.40298e16 | 0.962250 | 0.481125 | − | 0.876652i | \(-0.340228\pi\) | ||||
0.481125 | + | 0.876652i | \(0.340228\pi\) | |||||||
\(60\) | −1.19245e17 | + | 2.76813e16i | −1.52758 | + | 0.354609i | ||||
\(61\) | 4.18164e16 | 0.457840 | 0.228920 | − | 0.973445i | \(-0.426481\pi\) | ||||
0.228920 | + | 0.973445i | \(0.426481\pi\) | |||||||
\(62\) | −1.22729e17 | − | 3.21012e16i | −1.15140 | − | 0.301162i | ||||
\(63\) | 9.37961e16 | + | 8.58524e15i | 0.755874 | + | 0.0691859i | ||||
\(64\) | −5.15994e15 | − | 1.44023e17i | −0.0358043 | − | 0.999359i | ||||
\(65\) | − | 6.25619e16i | − | 0.374656i | ||||||
\(66\) | −2.24234e17 | + | 1.17861e17i | −1.16154 | + | 0.610523i | ||||
\(67\) | 8.57571e16i | 0.385088i | 0.981288 | + | 0.192544i | \(0.0616737\pi\) | ||||
−0.981288 | + | 0.192544i | \(0.938326\pi\) | |||||||
\(68\) | −1.61647e17 | + | 2.87863e17i | −0.630571 | + | 1.12293i | ||||
\(69\) | 6.58885e16 | + | 7.21947e16i | 0.223740 | + | 0.245154i | ||||
\(70\) | 1.01695e17 | − | 3.88797e17i | 0.301208 | − | 1.15157i | ||||
\(71\) | 5.20730e17 | 1.34790 | 0.673951 | − | 0.738776i | \(-0.264596\pi\) | ||||
0.673951 | + | 0.738776i | \(0.264596\pi\) | |||||||
\(72\) | −2.88282e17 | − | 3.34023e17i | −0.653370 | − | 0.757039i | ||||
\(73\) | −3.77163e17 | −0.749828 | −0.374914 | − | 0.927060i | \(-0.622328\pi\) | ||||
−0.374914 | + | 0.927060i | \(0.622328\pi\) | |||||||
\(74\) | 2.39767e17 | − | 9.16672e17i | 0.418878 | − | 1.60145i | ||||
\(75\) | 6.39645e17 | + | 7.00866e17i | 0.983687 | + | 1.07784i | ||||
\(76\) | 5.16038e17 | − | 9.18966e17i | 0.699766 | − | 1.24615i | ||||
\(77\) | − | 8.31627e17i | − | 0.996017i | ||||||
\(78\) | 1.99600e17 | − | 1.04913e17i | 0.211476 | − | 0.111155i | ||||
\(79\) | 4.09547e17i | 0.384455i | 0.981350 | + | 0.192228i | \(0.0615712\pi\) | ||||
−0.981350 | + | 0.192228i | \(0.938429\pi\) | |||||||
\(80\) | −1.60743e18 | + | 9.79946e17i | −1.33899 | + | 0.816295i | ||||
\(81\) | −1.32841e18 | − | 2.45235e17i | −0.983383 | − | 0.181541i | ||||
\(82\) | −3.50584e17 | − | 9.16996e16i | −0.230973 | − | 0.0604138i | ||||
\(83\) | 1.71020e18 | 1.00417 | 0.502083 | − | 0.864820i | \(-0.332567\pi\) | ||||
0.502083 | + | 0.864820i | \(0.332567\pi\) | |||||||
\(84\) | 1.41097e18 | − | 3.27540e17i | 0.739373 | − | 0.171637i | ||||
\(85\) | 4.31270e18 | 2.01962 | ||||||||
\(86\) | −1.60586e18 | − | 4.20032e17i | −0.672934 | − | 0.176014i | ||||
\(87\) | 2.08232e17 | − | 1.90043e17i | 0.0781835 | − | 0.0713541i | ||||
\(88\) | −2.70494e18 | + | 2.80359e18i | −0.911115 | + | 0.944342i | ||||
\(89\) | 6.97699e17i | 0.211088i | 0.994415 | + | 0.105544i | \(0.0336584\pi\) | ||||
−0.994415 | + | 0.105544i | \(0.966342\pi\) | |||||||
\(90\) | −1.96070e18 | + | 5.41999e18i | −0.533467 | + | 1.47467i | ||||
\(91\) | 7.40265e17i | 0.181340i | ||||||||
\(92\) | 1.31063e18 | + | 7.35972e17i | 0.289397 | + | 0.162509i | ||||
\(93\) | −4.41174e18 | + | 4.02637e18i | −0.879067 | + | 0.802280i | ||||
\(94\) | 1.47281e18 | − | 5.63081e18i | 0.265113 | − | 1.01358i | ||||
\(95\) | −1.37677e19 | −2.24124 | ||||||||
\(96\) | −5.82203e18 | − | 3.48510e18i | −0.858020 | − | 0.513616i | ||||
\(97\) | 8.71166e18 | 1.16351 | 0.581754 | − | 0.813365i | \(-0.302367\pi\) | ||||
0.581754 | + | 0.813365i | \(0.302367\pi\) | |||||||
\(98\) | 8.85285e17 | − | 3.38460e18i | 0.107259 | − | 0.410072i | ||||
\(99\) | −1.08717e18 | + | 1.18776e19i | −0.119608 | + | 1.30675i | ||||
\(100\) | 1.27236e19 | + | 7.14482e18i | 1.27236 | + | 0.714482i | ||||
\(101\) | 1.96631e18i | 0.178895i | 0.995992 | + | 0.0894475i | \(0.0285101\pi\) | ||||
−0.995992 | + | 0.0894475i | \(0.971490\pi\) | |||||||
\(102\) | 7.23214e18 | + | 1.37594e19i | 0.599191 | + | 1.13998i | ||||
\(103\) | − | 2.49155e19i | − | 1.88155i | −0.339030 | − | 0.940776i | \(-0.610099\pi\) | ||
0.339030 | − | 0.940776i | \(-0.389901\pi\) | |||||||
\(104\) | 2.40778e18 | − | 2.49559e18i | 0.165882 | − | 0.171932i | ||||
\(105\) | −1.27553e19 | − | 1.39761e19i | −0.802403 | − | 0.879202i | ||||
\(106\) | 1.75486e19 | + | 4.59005e18i | 1.00887 | + | 0.263883i | ||||
\(107\) | 2.19584e19 | 1.15466 | 0.577331 | − | 0.816510i | \(-0.304094\pi\) | ||||
0.577331 | + | 0.816510i | \(0.304094\pi\) | |||||||
\(108\) | −2.05801e19 | + | 2.83351e18i | −0.990654 | + | 0.136395i | ||||
\(109\) | −2.49210e19 | −1.09904 | −0.549519 | − | 0.835481i | \(-0.685189\pi\) | ||||
−0.549519 | + | 0.835481i | \(0.685189\pi\) | |||||||
\(110\) | 4.92341e19 | + | 1.28778e19i | 1.99084 | + | 0.520728i | ||||
\(111\) | −3.00734e19 | − | 3.29517e19i | −1.11587 | − | 1.22267i | ||||
\(112\) | 1.90200e19 | − | 1.15952e19i | 0.648095 | − | 0.395101i | ||||
\(113\) | 3.46953e19i | 1.08649i | 0.839575 | + | 0.543245i | \(0.182804\pi\) | ||||
−0.839575 | + | 0.543245i | \(0.817196\pi\) | |||||||
\(114\) | −2.30877e19 | − | 4.39250e19i | −0.664942 | − | 1.26507i | ||||
\(115\) | − | 1.96355e19i | − | 0.520490i | ||||||
\(116\) | 2.12277e18 | − | 3.78026e18i | 0.0518266 | − | 0.0922934i | ||||
\(117\) | 9.67731e17 | − | 1.05727e19i | 0.0217766 | − | 0.237915i | ||||
\(118\) | 1.17320e19 | − | 4.48536e19i | 0.243497 | − | 0.930932i | ||||
\(119\) | −5.10301e19 | −0.977530 | ||||||||
\(120\) | −2.45784e18 | + | 8.86044e19i | −0.0434842 | + | 1.56759i | ||||
\(121\) | 4.41514e19 | 0.721911 | ||||||||
\(122\) | 7.66190e18 | − | 2.92929e19i | 0.115856 | − | 0.442939i | ||||
\(123\) | −1.26025e19 | + | 1.15017e19i | −0.176343 | + | 0.160939i | ||||
\(124\) | −4.49744e19 | + | 8.00909e19i | −0.582720 | + | 1.03771i | ||||
\(125\) | − | 5.99905e19i | − | 0.720174i | ||||||
\(126\) | 2.32001e19 | − | 6.41321e19i | 0.258207 | − | 0.713766i | ||||
\(127\) | − | 7.57642e19i | − | 0.782219i | −0.920344 | − | 0.391110i | \(-0.872091\pi\) | ||
0.920344 | − | 0.391110i | \(-0.127909\pi\) | |||||||
\(128\) | −1.01835e20 | − | 2.27743e19i | −0.975893 | − | 0.218248i | ||||
\(129\) | −5.77261e19 | + | 5.26837e19i | −0.513771 | + | 0.468893i | ||||
\(130\) | −4.38253e19 | − | 1.14630e19i | −0.362463 | − | 0.0948065i | ||||
\(131\) | 4.27587e19 | 0.328812 | 0.164406 | − | 0.986393i | \(-0.447429\pi\) | ||||
0.164406 | + | 0.986393i | \(0.447429\pi\) | |||||||
\(132\) | 4.14770e19 | + | 1.78674e20i | 0.296726 | + | 1.27823i | ||||
\(133\) | 1.62907e20 | 1.08480 | ||||||||
\(134\) | 6.00738e19 | + | 1.57130e19i | 0.372554 | + | 0.0974461i | ||||
\(135\) | 1.63905e20 | + | 2.16287e20i | 0.947156 | + | 1.24985i | ||||
\(136\) | 1.72033e20 | + | 1.65980e20i | 0.926815 | + | 0.894204i | ||||
\(137\) | 1.49892e20i | 0.753239i | 0.926368 | + | 0.376619i | \(0.122914\pi\) | ||||
−0.926368 | + | 0.376619i | \(0.877086\pi\) | |||||||
\(138\) | 6.26458e19 | − | 3.29276e19i | 0.293792 | − | 0.154422i | ||||
\(139\) | 3.48808e20i | 1.52738i | 0.645585 | + | 0.763688i | \(0.276614\pi\) | ||||
−0.645585 | + | 0.763688i | \(0.723386\pi\) | |||||||
\(140\) | −2.53723e20 | − | 1.42476e20i | −1.03787 | − | 0.582809i | ||||
\(141\) | −1.84731e20 | − | 2.02412e20i | −0.706249 | − | 0.773844i | ||||
\(142\) | 9.54120e19 | − | 3.64777e20i | 0.341086 | − | 1.30403i | ||||
\(143\) | −9.37412e19 | −0.313501 | ||||||||
\(144\) | −2.86808e20 | + | 1.40743e20i | −0.897734 | + | 0.440537i | ||||
\(145\) | −5.66349e19 | −0.165992 | ||||||||
\(146\) | −6.91064e19 | + | 2.64207e20i | −0.189743 | + | 0.725423i | ||||
\(147\) | −1.11039e20 | − | 1.21667e20i | −0.285734 | − | 0.313082i | ||||
\(148\) | −5.98207e20 | − | 3.35918e20i | −1.44333 | − | 0.810490i | ||||
\(149\) | − | 1.03942e20i | − | 0.235246i | −0.993058 | − | 0.117623i | \(-0.962473\pi\) | ||
0.993058 | − | 0.117623i | \(-0.0375274\pi\) | |||||||
\(150\) | 6.08165e20 | − | 3.19661e20i | 1.29168 | − | 0.678926i | ||||
\(151\) | 3.36278e20i | 0.670528i | 0.942124 | + | 0.335264i | \(0.108826\pi\) | ||||
−0.942124 | + | 0.335264i | \(0.891174\pi\) | |||||||
\(152\) | −5.49194e20 | − | 5.29870e20i | −1.02852 | − | 0.992328i | ||||
\(153\) | 7.28829e20 | + | 6.67104e19i | 1.28250 | + | 0.117388i | ||||
\(154\) | −5.82564e20 | − | 1.52377e20i | −0.963600 | − | 0.252041i | ||||
\(155\) | 1.19990e21 | 1.86636 | ||||||||
\(156\) | −3.69204e19 | − | 1.59045e20i | −0.0540235 | − | 0.232721i | ||||
\(157\) | −7.95433e20 | −1.09536 | −0.547680 | − | 0.836688i | \(-0.684489\pi\) | ||||
−0.547680 | + | 0.836688i | \(0.684489\pi\) | |||||||
\(158\) | 2.86892e20 | + | 7.50401e19i | 0.371943 | + | 0.0972862i | ||||
\(159\) | 6.30822e20 | − | 5.75719e20i | 0.770254 | − | 0.702972i | ||||
\(160\) | 3.91938e20 | + | 1.30558e21i | 0.450897 | + | 1.50198i | ||||
\(161\) | 2.32337e20i | 0.251926i | ||||||||
\(162\) | −4.15190e20 | + | 8.85629e20i | −0.424477 | + | 0.905439i | ||||
\(163\) | − | 4.72147e20i | − | 0.455298i | −0.973743 | − | 0.227649i | \(-0.926896\pi\) | ||
0.973743 | − | 0.227649i | \(-0.0731038\pi\) | |||||||
\(164\) | −1.28473e20 | + | 2.28786e20i | −0.116895 | + | 0.208168i | ||||
\(165\) | 1.76983e21 | − | 1.61523e21i | 1.51996 | − | 1.38719i | ||||
\(166\) | 3.13355e20 | − | 1.19801e21i | 0.254103 | − | 0.971483i | ||||
\(167\) | 5.99897e20 | 0.459484 | 0.229742 | − | 0.973252i | \(-0.426212\pi\) | ||||
0.229742 | + | 0.973252i | \(0.426212\pi\) | |||||||
\(168\) | 2.90824e19 | − | 1.04841e21i | 0.0210471 | − | 0.758742i | ||||
\(169\) | −1.37848e21 | −0.942922 | ||||||||
\(170\) | 7.90203e20 | − | 3.02109e21i | 0.511063 | − | 1.95389i | ||||
\(171\) | −2.32669e21 | − | 2.12964e20i | −1.42323 | − | 0.130270i | ||||
\(172\) | −5.88475e20 | + | 1.04796e21i | −0.340571 | + | 0.606492i | ||||
\(173\) | 2.00004e21i | 1.09547i | 0.836651 | + | 0.547736i | \(0.184510\pi\) | ||||
−0.836651 | + | 0.547736i | \(0.815490\pi\) | |||||||
\(174\) | −9.49734e19 | − | 1.80690e20i | −0.0492475 | − | 0.0936950i | ||||
\(175\) | 2.25553e21i | 1.10761i | ||||||||
\(176\) | 1.46833e21 | + | 2.40854e21i | 0.683050 | + | 1.12043i | ||||
\(177\) | −1.47152e21 | − | 1.61236e21i | −0.648663 | − | 0.710747i | ||||
\(178\) | 4.88746e20 | + | 1.27837e20i | 0.204218 | + | 0.0534156i | ||||
\(179\) | −3.67008e21 | −1.45402 | −0.727012 | − | 0.686625i | \(-0.759092\pi\) | ||||
−0.727012 | + | 0.686625i | \(0.759092\pi\) | |||||||
\(180\) | 3.43751e21 | + | 2.36658e21i | 1.29168 | + | 0.889269i | ||||
\(181\) | −6.28843e20 | −0.224179 | −0.112090 | − | 0.993698i | \(-0.535754\pi\) | ||||
−0.112090 | + | 0.993698i | \(0.535754\pi\) | |||||||
\(182\) | 5.18564e20 | + | 1.35637e20i | 0.175438 | + | 0.0458880i | ||||
\(183\) | −9.61014e20 | − | 1.05299e21i | −0.308635 | − | 0.338174i | ||||
\(184\) | 7.55699e20 | − | 7.83259e20i | 0.230452 | − | 0.238856i | ||||
\(185\) | 8.96219e21i | 2.59587i | ||||||||
\(186\) | 2.01217e21 | + | 3.82821e21i | 0.553721 | + | 1.05347i | ||||
\(187\) | − | 6.46204e21i | − | 1.68995i | ||||||
\(188\) | −3.67459e21 | − | 2.06344e21i | −0.913501 | − | 0.512969i | ||||
\(189\) | −1.93941e21 | − | 2.55922e21i | −0.458440 | − | 0.604951i | ||||
\(190\) | −2.52262e21 | + | 9.64444e21i | −0.567143 | + | 2.16829i | ||||
\(191\) | −1.15829e21 | −0.247742 | −0.123871 | − | 0.992298i | \(-0.539531\pi\) | ||||
−0.123871 | + | 0.992298i | \(0.539531\pi\) | |||||||
\(192\) | −3.50810e21 | + | 3.43983e21i | −0.714021 | + | 0.700124i | ||||
\(193\) | 5.41105e21 | 1.04830 | 0.524152 | − | 0.851625i | \(-0.324382\pi\) | ||||
0.524152 | + | 0.851625i | \(0.324382\pi\) | |||||||
\(194\) | 1.59621e21 | − | 6.10261e21i | 0.294425 | − | 1.12564i | ||||
\(195\) | −1.57539e21 | + | 1.43778e21i | −0.276733 | + | 0.252560i | ||||
\(196\) | −2.20875e21 | − | 1.24030e21i | −0.369584 | − | 0.207537i | ||||
\(197\) | − | 1.01071e22i | − | 1.61138i | −0.592339 | − | 0.805689i | \(-0.701795\pi\) | ||
0.592339 | − | 0.805689i | \(-0.298205\pi\) | |||||||
\(198\) | 8.12118e21 | + | 2.93787e21i | 1.23396 | + | 0.446389i | ||||
\(199\) | 1.56297e21i | 0.226384i | 0.993573 | + | 0.113192i | \(0.0361075\pi\) | ||||
−0.993573 | + | 0.113192i | \(0.963892\pi\) | |||||||
\(200\) | 7.33633e21 | − | 7.60387e21i | 1.01320 | − | 1.05015i | ||||
\(201\) | 2.15948e21 | − | 1.97085e21i | 0.284437 | − | 0.259592i | ||||
\(202\) | 1.37742e21 | + | 3.60281e20i | 0.173073 | + | 0.0452692i | ||||
\(203\) | 6.70133e20 | 0.0803432 | ||||||||
\(204\) | 1.09637e22 | − | 2.54510e21i | 1.25450 | − | 0.291218i | ||||
\(205\) | 3.42762e21 | 0.374396 | ||||||||
\(206\) | −1.74536e22 | − | 4.56520e21i | −1.82031 | − | 0.476125i | ||||
\(207\) | 3.03729e20 | − | 3.31832e21i | 0.0302530 | − | 0.330522i | ||||
\(208\) | −1.30702e21 | − | 2.14394e21i | −0.124360 | − | 0.203991i | ||||
\(209\) | 2.06292e22i | 1.87540i | ||||||||
\(210\) | −1.21276e22 | + | 6.37443e21i | −1.05363 | + | 0.553806i | ||||
\(211\) | − | 2.74487e21i | − | 0.227949i | −0.993484 | − | 0.113975i | \(-0.963642\pi\) | ||
0.993484 | − | 0.113975i | \(-0.0363583\pi\) | |||||||
\(212\) | 6.43076e21 | − | 1.14520e22i | 0.510590 | − | 0.909263i | ||||
\(213\) | −1.19673e22 | − | 1.31127e22i | −0.908636 | − | 0.995602i | ||||
\(214\) | 4.02337e21 | − | 1.53821e22i | 0.292186 | − | 1.11708i | ||||
\(215\) | 1.57003e22 | 1.09079 | ||||||||
\(216\) | −1.78593e21 | + | 1.49358e22i | −0.118728 | + | 0.992927i | ||||
\(217\) | −1.41979e22 | −0.903350 | ||||||||
\(218\) | −4.56620e21 | + | 1.74574e22i | −0.278111 | + | 1.06327i | ||||
\(219\) | 8.66785e21 | + | 9.49747e21i | 0.505467 | + | 0.553845i | ||||
\(220\) | 1.80421e22 | − | 3.21295e22i | 1.00756 | − | 1.79427i | ||||
\(221\) | 5.75213e21i | 0.307682i | ||||||||
\(222\) | −2.85933e22 | + | 1.50291e22i | −1.46525 | + | 0.770156i | ||||
\(223\) | − | 4.85448e21i | − | 0.238367i | −0.992872 | − | 0.119184i | \(-0.961972\pi\) | ||
0.992872 | − | 0.119184i | \(-0.0380277\pi\) | |||||||
\(224\) | −4.63761e21 | − | 1.54483e22i | −0.218242 | − | 0.726982i | ||||
\(225\) | 2.94860e21 | − | 3.22143e22i | 0.133009 | − | 1.45316i | ||||
\(226\) | 2.43044e22 | + | 6.35712e21i | 1.05113 | + | 0.274935i | ||||
\(227\) | 2.64894e22 | 1.09857 | 0.549284 | − | 0.835636i | \(-0.314901\pi\) | ||||
0.549284 | + | 0.835636i | \(0.314901\pi\) | |||||||
\(228\) | −3.50003e22 | + | 8.12491e21i | −1.39216 | + | 0.323175i | ||||
\(229\) | 1.25236e22 | 0.477852 | 0.238926 | − | 0.971038i | \(-0.423205\pi\) | ||||
0.238926 | + | 0.971038i | \(0.423205\pi\) | |||||||
\(230\) | −1.37549e22 | − | 3.59776e21i | −0.503550 | − | 0.131710i | ||||
\(231\) | −2.09415e22 | + | 1.91122e22i | −0.735688 | + | 0.671425i | ||||
\(232\) | −2.25916e21 | − | 2.17967e21i | −0.0761749 | − | 0.0734946i | ||||
\(233\) | 3.04822e22i | 0.986653i | 0.869844 | + | 0.493326i | \(0.164219\pi\) | ||||
−0.869844 | + | 0.493326i | \(0.835781\pi\) | |||||||
\(234\) | −7.22900e21 | − | 2.61512e21i | −0.224661 | − | 0.0812719i | ||||
\(235\) | 5.50518e22i | 1.64296i | ||||||||
\(236\) | −2.92708e22 | − | 1.64368e22i | −0.839017 | − | 0.471143i | ||||
\(237\) | 1.03129e22 | − | 9.41210e21i | 0.283971 | − | 0.259166i | ||||
\(238\) | −9.35010e21 | + | 3.57471e22i | −0.247363 | + | 0.945715i | ||||
\(239\) | −2.00343e22 | −0.509324 | −0.254662 | − | 0.967030i | \(-0.581964\pi\) | ||||
−0.254662 | + | 0.967030i | \(0.581964\pi\) | |||||||
\(240\) | 6.16180e22 | + | 1.79565e22i | 1.50557 | + | 0.438747i | ||||
\(241\) | 8.06864e22 | 1.89513 | 0.947564 | − | 0.319566i | \(-0.103537\pi\) | ||||
0.947564 | + | 0.319566i | \(0.103537\pi\) | |||||||
\(242\) | 8.08975e21 | − | 3.09286e22i | 0.182679 | − | 0.698416i | ||||
\(243\) | 2.43537e22 | + | 3.90870e22i | 0.528817 | + | 0.848736i | ||||
\(244\) | −1.91161e22 | − | 1.07345e22i | −0.399205 | − | 0.224170i | ||||
\(245\) | 3.30909e22i | 0.664707i | ||||||||
\(246\) | 5.74792e21 | + | 1.09356e22i | 0.111078 | + | 0.211329i | ||||
\(247\) | − | 1.83629e22i | − | 0.341445i | ||||||
\(248\) | 4.78641e22 | + | 4.61799e22i | 0.856483 | + | 0.826347i | ||||
\(249\) | −3.93034e22 | − | 4.30652e22i | −0.676918 | − | 0.741707i | ||||
\(250\) | −4.20240e22 | − | 1.09919e22i | −0.696735 | − | 0.182240i | ||||
\(251\) | 3.64765e22 | 0.582254 | 0.291127 | − | 0.956684i | \(-0.405970\pi\) | ||||
0.291127 | + | 0.956684i | \(0.405970\pi\) | |||||||
\(252\) | −4.06744e22 | − | 2.80026e22i | −0.625196 | − | 0.430421i | ||||
\(253\) | −2.94213e22 | −0.435529 | ||||||||
\(254\) | −5.30737e22 | − | 1.38821e22i | −0.756761 | − | 0.197940i | ||||
\(255\) | −9.91133e22 | − | 1.08600e23i | −1.36145 | − | 1.49175i | ||||
\(256\) | −3.46126e22 | + | 6.71637e22i | −0.458094 | + | 0.888904i | ||||
\(257\) | 2.14865e22i | 0.274032i | 0.990569 | + | 0.137016i | \(0.0437512\pi\) | ||||
−0.990569 | + | 0.137016i | \(0.956249\pi\) | |||||||
\(258\) | 2.63285e22 | + | 5.00908e22i | 0.323623 | + | 0.615703i | ||||
\(259\) | − | 1.06045e23i | − | 1.25645i | ||||||
\(260\) | −1.60600e22 | + | 2.85998e22i | −0.183442 | + | 0.326675i | ||||
\(261\) | −9.57108e21 | − | 8.76050e20i | −0.105409 | − | 0.00964815i | ||||
\(262\) | 7.83456e21 | − | 2.99529e22i | 0.0832055 | − | 0.318110i | ||||
\(263\) | 2.76841e22 | 0.283564 | 0.141782 | − | 0.989898i | \(-0.454717\pi\) | ||||
0.141782 | + | 0.989898i | \(0.454717\pi\) | |||||||
\(264\) | 1.32763e23 | + | 3.68276e21i | 1.31171 | + | 0.0363862i | ||||
\(265\) | −1.71571e23 | −1.63534 | ||||||||
\(266\) | 2.98490e22 | − | 1.14118e23i | 0.274507 | − | 1.04949i | ||||
\(267\) | 1.75690e22 | − | 1.60343e22i | 0.155916 | − | 0.142297i | ||||
\(268\) | 2.20143e22 | − | 3.92033e22i | 0.188549 | − | 0.335770i | ||||
\(269\) | 1.97943e22i | 0.163642i | 0.996647 | + | 0.0818209i | \(0.0260736\pi\) | ||||
−0.996647 | + | 0.0818209i | \(0.973926\pi\) | |||||||
\(270\) | 1.81543e23 | − | 7.51877e22i | 1.44885 | − | 0.600055i | ||||
\(271\) | 6.06849e22i | 0.467597i | 0.972285 | + | 0.233799i | \(0.0751157\pi\) | ||||
−0.972285 | + | 0.233799i | \(0.924884\pi\) | |||||||
\(272\) | 1.47792e23 | − | 9.00991e22i | 1.09963 | − | 0.670372i | ||||
\(273\) | 1.86409e22 | − | 1.70126e22i | 0.133943 | − | 0.122243i | ||||
\(274\) | 1.05001e23 | + | 2.74643e22i | 0.728723 | + | 0.190606i | ||||
\(275\) | −2.85622e23 | −1.91484 | ||||||||
\(276\) | −1.15877e22 | − | 4.99173e22i | −0.0750519 | − | 0.323307i | ||||
\(277\) | 8.84821e19 | 0.000553729 | 0.000276865 | − | 1.00000i | \(-0.499912\pi\) | ||||
0.000276865 | 1.00000i | \(0.499912\pi\) | ||||||||
\(278\) | 2.44344e23 | + | 6.39112e22i | 1.47767 | + | 0.386501i | ||||
\(279\) | 2.02779e23 | + | 1.85606e22i | 1.18518 | + | 0.108480i | ||||
\(280\) | −1.46295e23 | + | 1.51630e23i | −0.826474 | + | 0.856614i | ||||
\(281\) | − | 1.80328e23i | − | 0.984812i | −0.870366 | − | 0.492406i | \(-0.836118\pi\) | ||
0.870366 | − | 0.492406i | \(-0.163882\pi\) | |||||||
\(282\) | −1.75639e23 | + | 9.23186e22i | −0.927374 | + | 0.487442i | ||||
\(283\) | − | 2.20155e23i | − | 1.12398i | −0.827145 | − | 0.561988i | \(-0.810037\pi\) | ||
0.827145 | − | 0.561988i | \(-0.189963\pi\) | |||||||
\(284\) | −2.38049e23 | − | 1.33674e23i | −1.17528 | − | 0.659969i | ||||
\(285\) | 3.16406e23 | + | 3.46690e23i | 1.51084 | + | 1.65545i | ||||
\(286\) | −1.71759e22 | + | 6.56668e22i | −0.0793311 | + | 0.303297i | ||||
\(287\) | −4.05574e22 | −0.181214 | ||||||||
\(288\) | 4.60408e22 | + | 2.26700e23i | 0.199028 | + | 0.979994i | ||||
\(289\) | −1.57450e23 | −0.658586 | ||||||||
\(290\) | −1.03771e22 | + | 3.96734e22i | −0.0420042 | + | 0.160590i | ||||
\(291\) | −2.00209e23 | − | 2.19371e23i | −0.784333 | − | 0.859402i | ||||
\(292\) | 1.72417e23 | + | 9.68197e22i | 0.653799 | + | 0.367136i | ||||
\(293\) | − | 9.77957e22i | − | 0.358986i | −0.983759 | − | 0.179493i | \(-0.942554\pi\) | ||
0.983759 | − | 0.179493i | \(-0.0574457\pi\) | |||||||
\(294\) | −1.05574e23 | + | 5.54915e22i | −0.375196 | + | 0.197209i | ||||
\(295\) | 4.38528e23i | 1.50900i | ||||||||
\(296\) | −3.44922e23 | + | 3.57501e23i | −1.14934 | + | 1.19126i | ||||
\(297\) | 3.24079e23 | − | 2.45591e23i | 1.04584 | − | 0.792550i | ||||
\(298\) | −7.28125e22 | − | 1.90450e22i | −0.227589 | − | 0.0595287i | ||||
\(299\) | 2.61891e22 | 0.0792948 | ||||||||
\(300\) | −1.12494e23 | − | 4.84597e23i | −0.329971 | − | 1.42144i | ||||
\(301\) | −1.85774e23 | −0.527963 | ||||||||
\(302\) | 2.35566e23 | + | 6.16152e22i | 0.648705 | + | 0.169677i | ||||
\(303\) | 4.95143e22 | − | 4.51892e22i | 0.132137 | − | 0.120595i | ||||
\(304\) | −4.71807e23 | + | 2.87630e23i | −1.22030 | + | 0.743935i | ||||
\(305\) | 2.86393e23i | 0.717982i | ||||||||
\(306\) | 1.80273e23 | − | 4.98330e23i | 0.438103 | − | 1.21105i | ||||
\(307\) | 3.33732e23i | 0.786291i | 0.919476 | + | 0.393145i | \(0.128613\pi\) | ||||
−0.919476 | + | 0.393145i | \(0.871387\pi\) | |||||||
\(308\) | −2.13483e23 | + | 3.80173e23i | −0.487676 | + | 0.868459i | ||||
\(309\) | −6.27406e23 | + | 5.72602e23i | −1.38977 | + | 1.26837i | ||||
\(310\) | 2.19855e23 | − | 8.40545e23i | 0.472280 | − | 1.80561i | ||||
\(311\) | 2.25691e23 | 0.470208 | 0.235104 | − | 0.971970i | \(-0.424457\pi\) | ||||
0.235104 | + | 0.971970i | \(0.424457\pi\) | |||||||
\(312\) | −1.18177e23 | − | 3.27818e21i | −0.238817 | − | 0.00662466i | ||||
\(313\) | 7.76177e23 | 1.52156 | 0.760781 | − | 0.649009i | \(-0.224816\pi\) | ||||
0.760781 | + | 0.649009i | \(0.224816\pi\) | |||||||
\(314\) | −1.45745e23 | + | 5.57210e23i | −0.277180 | + | 1.05971i | ||||
\(315\) | −5.87987e22 | + | 6.42392e23i | −0.108497 | + | 1.18536i | ||||
\(316\) | 1.05133e23 | − | 1.87222e23i | 0.188240 | − | 0.335219i | ||||
\(317\) | − | 7.82976e23i | − | 1.36046i | −0.733000 | − | 0.680229i | \(-0.761880\pi\) | ||
0.733000 | − | 0.680229i | \(-0.238120\pi\) | |||||||
\(318\) | −2.87714e23 | − | 5.47385e23i | −0.485180 | − | 0.923072i | ||||
\(319\) | 8.48603e22i | 0.138897i | ||||||||
\(320\) | 9.86385e23 | − | 3.53394e22i | 1.56719 | − | 0.0561481i | ||||
\(321\) | −5.04642e23 | − | 5.52942e23i | −0.778369 | − | 0.852868i | ||||
\(322\) | 1.62755e23 | + | 4.25705e22i | 0.243727 | + | 0.0637497i | ||||
\(323\) | 1.26585e24 | 1.84059 | ||||||||
\(324\) | 5.44319e23 | + | 4.53116e23i | 0.768556 | + | 0.639782i | ||||
\(325\) | 2.54244e23 | 0.348625 | ||||||||
\(326\) | −3.30745e23 | − | 8.65102e22i | −0.440479 | − | 0.115213i | ||||
\(327\) | 5.72727e23 | + | 6.27544e23i | 0.740874 | + | 0.811783i | ||||
\(328\) | 1.36728e23 | + | 1.31917e23i | 0.171813 | + | 0.165767i | ||||
\(329\) | − | 6.51401e23i | − | 0.795221i | ||||||
\(330\) | −8.07206e23 | − | 1.53574e24i | −0.957419 | − | 1.82152i | ||||
\(331\) | − | 1.04369e24i | − | 1.20283i | −0.798935 | − | 0.601417i | \(-0.794603\pi\) | ||
0.798935 | − | 0.601417i | \(-0.205397\pi\) | |||||||
\(332\) | −7.81807e23 | − | 4.39018e23i | −0.875564 | − | 0.491666i | ||||
\(333\) | −1.38631e23 | + | 1.51458e24i | −0.150882 | + | 1.64843i | ||||
\(334\) | 1.09918e23 | − | 4.20235e23i | 0.116272 | − | 0.444530i | ||||
\(335\) | −5.87334e23 | −0.603893 | ||||||||
\(336\) | −7.29096e23 | − | 2.12470e23i | −0.728722 | − | 0.212361i | ||||
\(337\) | −2.33357e23 | −0.226745 | −0.113372 | − | 0.993553i | \(-0.536165\pi\) | ||||
−0.113372 | + | 0.993553i | \(0.536165\pi\) | |||||||
\(338\) | −2.52575e23 | + | 9.65639e23i | −0.238606 | + | 0.912233i | ||||
\(339\) | 8.73675e23 | − | 7.97359e23i | 0.802514 | − | 0.732414i | ||||
\(340\) | −1.97152e24 | − | 1.10709e24i | −1.76097 | − | 0.988859i | ||||
\(341\) | − | 1.79790e24i | − | 1.56171i | ||||||
\(342\) | −5.75497e23 | + | 1.59085e24i | −0.486178 | + | 1.34395i | ||||
\(343\) | − | 1.31530e24i | − | 1.08076i | ||||||
\(344\) | 6.26284e23 | + | 6.04248e23i | 0.500572 | + | 0.482959i | ||||
\(345\) | −4.94448e23 | + | 4.51258e23i | −0.384450 | + | 0.350868i | ||||
\(346\) | 1.40105e24 | + | 3.66462e23i | 1.05982 | + | 0.277209i | ||||
\(347\) | −1.28967e24 | −0.949177 | −0.474589 | − | 0.880208i | \(-0.657403\pi\) | ||||
−0.474589 | + | 0.880208i | \(0.657403\pi\) | |||||||
\(348\) | −1.43977e23 | + | 3.34226e22i | −0.103108 | + | 0.0239352i | ||||
\(349\) | 1.94097e24 | 1.35262 | 0.676311 | − | 0.736616i | \(-0.263577\pi\) | ||||
0.676311 | + | 0.736616i | \(0.263577\pi\) | |||||||
\(350\) | 1.58002e24 | + | 4.13274e23i | 1.07156 | + | 0.280280i | ||||
\(351\) | −2.88476e23 | + | 2.18611e23i | −0.190411 | + | 0.144296i | ||||
\(352\) | 1.95624e24 | − | 5.87270e23i | 1.25681 | − | 0.377296i | ||||
\(353\) | 2.19130e24i | 1.37038i | 0.728364 | + | 0.685191i | \(0.240281\pi\) | ||||
−0.728364 | + | 0.685191i | \(0.759719\pi\) | |||||||
\(354\) | −1.39910e24 | + | 7.35386e23i | −0.851758 | + | 0.447697i | ||||
\(355\) | 3.56638e24i | 2.11378i | ||||||||
\(356\) | 1.79103e23 | − | 3.18949e23i | 0.103354 | − | 0.184054i | ||||
\(357\) | 1.17276e24 | + | 1.28501e24i | 0.658963 | + | 0.722033i | ||||
\(358\) | −6.72458e23 | + | 2.57093e24i | −0.367940 | + | 1.40670i | ||||
\(359\) | −3.32858e24 | −1.77362 | −0.886812 | − | 0.462131i | \(-0.847085\pi\) | ||||
−0.886812 | + | 0.462131i | \(0.847085\pi\) | |||||||
\(360\) | 2.28766e24 | − | 1.97439e24i | 1.18718 | − | 1.02461i | ||||
\(361\) | −2.06263e24 | −1.04256 | ||||||||
\(362\) | −1.15221e23 | + | 4.40511e23i | −0.0567284 | + | 0.216883i | ||||
\(363\) | −1.01468e24 | − | 1.11179e24i | −0.486648 | − | 0.533226i | ||||
\(364\) | 1.90030e23 | − | 3.38407e23i | 0.0887890 | − | 0.158116i | ||||
\(365\) | − | 2.58312e24i | − | 1.17588i | ||||||
\(366\) | −9.13718e23 | + | 4.80264e23i | −0.405268 | + | 0.213015i | ||||
\(367\) | − | 2.09535e24i | − | 0.905584i | −0.891616 | − | 0.452792i | \(-0.850428\pi\) | ||
0.891616 | − | 0.452792i | \(-0.149572\pi\) | |||||||
\(368\) | −4.10217e23 | − | 6.72890e23i | −0.172766 | − | 0.283393i | ||||
\(369\) | 5.79255e23 | + | 5.30197e22i | 0.237749 | + | 0.0217614i | ||||
\(370\) | 6.27811e24 | + | 1.64212e24i | 2.51138 | + | 0.656882i | ||||
\(371\) | 2.03011e24 | 0.791531 | ||||||||
\(372\) | 3.05039e24 | − | 7.08113e23i | 1.15930 | − | 0.269119i | ||||
\(373\) | −3.93847e24 | −1.45913 | −0.729564 | − | 0.683913i | \(-0.760277\pi\) | ||||
−0.729564 | + | 0.683913i | \(0.760277\pi\) | |||||||
\(374\) | −4.52673e24 | − | 1.18402e24i | −1.63495 | − | 0.427641i | ||||
\(375\) | −1.51064e24 | + | 1.37869e24i | −0.531943 | + | 0.485477i | ||||
\(376\) | −2.11874e24 | + | 2.19601e24i | −0.727435 | + | 0.753964i | ||||
\(377\) | − | 7.55377e22i | − | 0.0252884i | ||||||
\(378\) | −2.14811e24 | + | 8.89660e23i | −0.701269 | + | 0.290437i | ||||
\(379\) | − | 4.68882e24i | − | 1.49276i | −0.665519 | − | 0.746381i | \(-0.731790\pi\) | ||
0.665519 | − | 0.746381i | \(-0.268210\pi\) | |||||||
\(380\) | 6.29383e24 | + | 3.53425e24i | 1.95421 | + | 1.09737i | ||||
\(381\) | −1.90784e24 | + | 1.74119e24i | −0.577771 | + | 0.527302i | ||||
\(382\) | −2.12230e23 | + | 8.11394e23i | −0.0626909 | + | 0.239679i | ||||
\(383\) | −1.29389e24 | −0.372827 | −0.186414 | − | 0.982471i | \(-0.559686\pi\) | ||||
−0.186414 | + | 0.982471i | \(0.559686\pi\) | |||||||
\(384\) | 1.76686e24 | + | 3.08774e24i | 0.496655 | + | 0.867948i | ||||
\(385\) | 5.69566e24 | 1.56195 | ||||||||
\(386\) | 9.91452e23 | − | 3.79050e24i | 0.265273 | − | 1.01419i | ||||
\(387\) | 2.65329e24 | + | 2.42858e23i | 0.692677 | + | 0.0634014i | ||||
\(388\) | −3.98248e24 | − | 2.23633e24i | −1.01450 | − | 0.569684i | ||||
\(389\) | 1.33641e24i | 0.332215i | 0.986108 | + | 0.166108i | \(0.0531199\pi\) | ||||
−0.986108 | + | 0.166108i | \(0.946880\pi\) | |||||||
\(390\) | 7.18527e23 | + | 1.36702e24i | 0.174313 | + | 0.331636i | ||||
\(391\) | 1.80534e24i | 0.427446i | ||||||||
\(392\) | −1.27355e24 | + | 1.31999e24i | −0.294305 | + | 0.305038i | ||||
\(393\) | −9.82670e23 | − | 1.07672e24i | −0.221655 | − | 0.242870i | ||||
\(394\) | −7.08013e24 | − | 1.85189e24i | −1.55893 | − | 0.407758i | ||||
\(395\) | −2.80491e24 | −0.602901 | ||||||||
\(396\) | 3.54603e24 | − | 5.15068e24i | 0.744112 | − | 1.08084i | ||||
\(397\) | 1.02507e24 | 0.210012 | 0.105006 | − | 0.994472i | \(-0.466514\pi\) | ||||
0.105006 | + | 0.994472i | \(0.466514\pi\) | |||||||
\(398\) | 1.09488e24 | + | 2.86378e23i | 0.219016 | + | 0.0572863i | ||||
\(399\) | −3.74388e24 | − | 4.10222e24i | −0.731274 | − | 0.801265i | ||||
\(400\) | −3.98238e24 | − | 6.53241e24i | −0.759579 | − | 1.24596i | ||||
\(401\) | 5.46881e24i | 1.01864i | 0.860577 | + | 0.509320i | \(0.170103\pi\) | ||||
−0.860577 | + | 0.509320i | \(0.829897\pi\) | |||||||
\(402\) | −9.84925e23 | − | 1.87385e24i | −0.179166 | − | 0.340869i | ||||
\(403\) | 1.60039e24i | 0.284333i | ||||||||
\(404\) | 5.04761e23 | − | 8.98884e23i | 0.0875917 | − | 0.155984i | ||||
\(405\) | 1.67957e24 | − | 9.09800e24i | 0.284692 | − | 1.54214i | ||||
\(406\) | 1.22787e23 | − | 4.69436e23i | 0.0203308 | − | 0.0777283i | ||||
\(407\) | 1.34287e25 | 2.17214 | ||||||||
\(408\) | 2.25981e23 | − | 8.14655e24i | 0.0357108 | − | 1.28737i | ||||
\(409\) | −6.57238e24 | −1.01473 | −0.507366 | − | 0.861731i | \(-0.669381\pi\) | ||||
−0.507366 | + | 0.861731i | \(0.669381\pi\) | |||||||
\(410\) | 6.28033e23 | − | 2.40109e24i | 0.0947406 | − | 0.362211i | ||||
\(411\) | 3.77448e24 | − | 3.44478e24i | 0.556365 | − | 0.507766i | ||||
\(412\) | −6.39594e24 | + | 1.13900e25i | −0.921257 | + | 1.64059i | ||||
\(413\) | − | 5.18889e24i | − | 0.730380i | ||||||
\(414\) | −2.26887e24 | − | 8.20773e23i | −0.312109 | − | 0.112907i | ||||
\(415\) | 1.17128e25i | 1.57473i | ||||||||
\(416\) | −1.74133e24 | + | 5.22753e23i | −0.228821 | + | 0.0686926i | ||||
\(417\) | 8.78347e24 | − | 8.01622e24i | 1.12817 | − | 1.02962i | ||||
\(418\) | 1.44510e25 | + | 3.77983e24i | 1.81436 | + | 0.474568i | ||||
\(419\) | 9.29141e24 | 1.14038 | 0.570189 | − | 0.821514i | \(-0.306870\pi\) | ||||
0.570189 | + | 0.821514i | \(0.306870\pi\) | |||||||
\(420\) | 2.24326e24 | + | 9.66345e24i | 0.269160 | + | 1.15948i | ||||
\(421\) | −1.67922e23 | −0.0196983 | −0.00984915 | − | 0.999951i | \(-0.503135\pi\) | ||||
−0.00984915 | + | 0.999951i | \(0.503135\pi\) | |||||||
\(422\) | −1.92281e24 | − | 5.02935e23i | −0.220530 | − | 0.0576824i | ||||
\(423\) | −8.51562e23 | + | 9.30354e24i | −0.0954955 | + | 1.04331i | ||||
\(424\) | −6.84394e24 | − | 6.60313e24i | −0.750466 | − | 0.724060i | ||||
\(425\) | 1.75263e25i | 1.87930i | ||||||||
\(426\) | −1.13783e25 | + | 5.98062e24i | −1.19313 | + | 0.627126i | ||||
\(427\) | − | 3.38875e24i | − | 0.347516i | ||||||
\(428\) | −1.00381e25 | − | 5.63684e24i | −1.00679 | − | 0.565353i | ||||
\(429\) | 2.15434e24 | + | 2.36053e24i | 0.211334 | + | 0.231561i | ||||
\(430\) | 2.87672e24 | − | 1.09982e25i | 0.276025 | − | 1.05529i | ||||
\(431\) | −9.09431e24 | −0.853563 | −0.426782 | − | 0.904355i | \(-0.640353\pi\) | ||||
−0.426782 | + | 0.904355i | \(0.640353\pi\) | |||||||
\(432\) | 1.01354e25 | + | 3.98771e24i | 0.930566 | + | 0.366123i | ||||
\(433\) | −9.14015e24 | −0.820953 | −0.410476 | − | 0.911871i | \(-0.634638\pi\) | ||||
−0.410476 | + | 0.911871i | \(0.634638\pi\) | |||||||
\(434\) | −2.60144e24 | + | 9.94577e24i | −0.228592 | + | 0.873949i | ||||
\(435\) | 1.30157e24 | + | 1.42614e24i | 0.111897 | + | 0.122607i | ||||
\(436\) | 1.13925e25 | + | 6.39734e24i | 0.958287 | + | 0.538119i | ||||
\(437\) | − | 5.76333e24i | − | 0.474351i | ||||||
\(438\) | 8.24127e24 | − | 4.33173e24i | 0.663728 | − | 0.348865i | ||||
\(439\) | 1.65367e25i | 1.30327i | 0.758532 | + | 0.651636i | \(0.225917\pi\) | ||||
−0.758532 | + | 0.651636i | \(0.774083\pi\) | |||||||
\(440\) | −1.92013e25 | − | 1.85257e25i | −1.48091 | − | 1.42881i | ||||
\(441\) | −5.11862e23 | + | 5.59223e24i | −0.0386355 | + | 0.422103i | ||||
\(442\) | 4.02943e24 | + | 1.05395e24i | 0.297668 | + | 0.0778586i | ||||
\(443\) | −7.33835e24 | −0.530595 | −0.265297 | − | 0.964167i | \(-0.585470\pi\) | ||||
−0.265297 | + | 0.964167i | \(0.585470\pi\) | |||||||
\(444\) | 5.28896e24 | + | 2.27837e25i | 0.374311 | + | 1.61245i | ||||
\(445\) | −4.77841e24 | −0.331027 | ||||||||
\(446\) | −3.40062e24 | − | 8.89473e23i | −0.230609 | − | 0.0603186i | ||||
\(447\) | −2.61740e24 | + | 2.38877e24i | −0.173760 | + | 0.158582i | ||||
\(448\) | −1.16714e25 | + | 4.18155e23i | −0.758547 | + | 0.0271766i | ||||
\(449\) | − | 1.50710e24i | − | 0.0958962i | −0.998850 | − | 0.0479481i | \(-0.984732\pi\) | ||
0.998850 | − | 0.0479481i | \(-0.0152682\pi\) | |||||||
\(450\) | −2.20262e25 | − | 7.96806e24i | −1.37221 | − | 0.496402i | ||||
\(451\) | − | 5.13586e24i | − | 0.313283i | ||||||
\(452\) | 8.90647e24 | − | 1.58607e25i | 0.531974 | − | 0.947345i | ||||
\(453\) | 8.46793e24 | − | 7.72825e24i | 0.495273 | − | 0.452010i | ||||
\(454\) | 4.85358e24 | − | 1.85561e25i | 0.277992 | − | 1.06281i | ||||
\(455\) | −5.06994e24 | −0.284377 | ||||||||
\(456\) | −7.21414e23 | + | 2.60068e25i | −0.0396295 | + | 1.42863i | ||||
\(457\) | 3.33751e25 | 1.79564 | 0.897818 | − | 0.440366i | \(-0.145151\pi\) | ||||
0.897818 | + | 0.440366i | \(0.145151\pi\) | |||||||
\(458\) | 2.29467e24 | − | 8.77295e24i | 0.120920 | − | 0.462300i | ||||
\(459\) | −1.50699e25 | − | 1.98860e25i | −0.777840 | − | 1.02643i | ||||
\(460\) | −5.04054e24 | + | 8.97624e24i | −0.254846 | + | 0.453832i | ||||
\(461\) | 3.16764e25i | 1.56883i | 0.620233 | + | 0.784417i | \(0.287038\pi\) | ||||
−0.620233 | + | 0.784417i | \(0.712962\pi\) | |||||||
\(462\) | 9.55128e24 | + | 1.81716e25i | 0.463407 | + | 0.881648i | ||||
\(463\) | − | 2.79699e25i | − | 1.32945i | −0.747088 | − | 0.664725i | \(-0.768549\pi\) | ||
0.747088 | − | 0.664725i | \(-0.231451\pi\) | |||||||
\(464\) | −1.94082e24 | + | 1.18319e24i | −0.0903786 | + | 0.0550979i | ||||
\(465\) | −2.75759e25 | − | 3.02152e25i | −1.25813 | − | 1.37855i | ||||
\(466\) | 2.13531e25 | + | 5.58516e24i | 0.954541 | + | 0.249672i | ||||
\(467\) | 2.42851e25 | 1.06373 | 0.531863 | − | 0.846830i | \(-0.321492\pi\) | ||||
0.531863 | + | 0.846830i | \(0.321492\pi\) | |||||||
\(468\) | −3.15647e24 | + | 4.58483e24i | −0.135477 | + | 0.196783i | ||||
\(469\) | 6.94964e24 | 0.292294 | ||||||||
\(470\) | 3.85644e25 | + | 1.00870e25i | 1.58949 | + | 0.415749i | ||||
\(471\) | 1.82804e25 | + | 2.00301e25i | 0.738394 | + | 0.809067i | ||||
\(472\) | −1.68774e25 | + | 1.74929e25i | −0.668122 | + | 0.692487i | ||||
\(473\) | − | 2.35250e25i | − | 0.912742i | ||||||
\(474\) | −4.70367e24 | − | 8.94888e24i | −0.178872 | − | 0.340310i | ||||
\(475\) | − | 5.59504e25i | − | 2.08552i | ||||||
\(476\) | 2.33281e25 | + | 1.30997e25i | 0.852340 | + | 0.478625i | ||||
\(477\) | −2.89948e25 | − | 2.65392e24i | −1.03847 | − | 0.0950524i | ||||
\(478\) | −3.67083e24 | + | 1.40342e25i | −0.128884 | + | 0.492747i | ||||
\(479\) | −2.41544e25 | −0.831399 | −0.415699 | − | 0.909502i | \(-0.636463\pi\) | ||||
−0.415699 | + | 0.909502i | \(0.636463\pi\) | |||||||
\(480\) | 2.38688e25 | − | 3.98740e25i | 0.805450 | − | 1.34554i | ||||
\(481\) | −1.19535e25 | −0.395472 | ||||||||
\(482\) | 1.47839e25 | − | 5.65217e25i | 0.479561 | − | 1.83345i | ||||
\(483\) | 5.85057e24 | − | 5.33952e24i | 0.186080 | − | 0.169826i | ||||
\(484\) | −2.01836e25 | − | 1.13339e25i | −0.629458 | − | 0.353467i | ||||
\(485\) | 5.96645e25i | 1.82461i | ||||||||
\(486\) | 3.18431e25 | − | 9.89826e24i | 0.954929 | − | 0.296834i | ||||
\(487\) | 3.28871e25i | 0.967166i | 0.875299 | + | 0.483583i | \(0.160665\pi\) | ||||
−0.875299 | + | 0.483583i | \(0.839335\pi\) | |||||||
\(488\) | −1.10222e25 | + | 1.14242e25i | −0.317893 | + | 0.329486i | ||||
\(489\) | −1.18893e25 | + | 1.08508e25i | −0.336297 | + | 0.306921i | ||||
\(490\) | 2.31805e25 | + | 6.06315e24i | 0.643073 | + | 0.168204i | ||||
\(491\) | −1.13908e25 | −0.309942 | −0.154971 | − | 0.987919i | \(-0.549528\pi\) | ||||
−0.154971 | + | 0.987919i | \(0.549528\pi\) | |||||||
\(492\) | 8.71369e24 | − | 2.02278e24i | 0.232559 | − | 0.0539859i | ||||
\(493\) | 5.20718e24 | 0.136319 | ||||||||
\(494\) | −1.28634e25 | − | 3.36458e24i | −0.330332 | − | 0.0864023i | ||||
\(495\) | −8.13473e25 | − | 7.44580e24i | −2.04925 | − | 0.187569i | ||||
\(496\) | 4.11195e25 | − | 2.50679e25i | 1.01618 | − | 0.619501i | ||||
\(497\) | − | 4.21993e25i | − | 1.02310i | ||||||
\(498\) | −3.73691e25 | + | 1.96418e25i | −0.888860 | + | 0.467199i | ||||
\(499\) | − | 1.13358e25i | − | 0.264543i | −0.991214 | − | 0.132271i | \(-0.957773\pi\) | ||
0.991214 | − | 0.132271i | \(-0.0422270\pi\) | |||||||
\(500\) | −1.53999e25 | + | 2.74243e25i | −0.352617 | + | 0.627943i | ||||
\(501\) | −1.37867e25 | − | 1.51062e25i | −0.309743 | − | 0.339389i | ||||
\(502\) | 6.68348e24 | − | 2.55522e25i | 0.147339 | − | 0.563303i | ||||
\(503\) | −5.32374e25 | −1.15165 | −0.575825 | − | 0.817573i | \(-0.695319\pi\) | ||||
−0.575825 | + | 0.817573i | \(0.695319\pi\) | |||||||
\(504\) | −2.70688e25 | + | 2.33620e25i | −0.574618 | + | 0.495930i | ||||
\(505\) | −1.34669e25 | −0.280542 | ||||||||
\(506\) | −5.39079e24 | + | 2.06100e25i | −0.110210 | + | 0.421354i | ||||
\(507\) | 3.16798e25 | + | 3.47119e25i | 0.635634 | + | 0.696471i | ||||
\(508\) | −1.94491e25 | + | 3.46351e25i | −0.382995 | + | 0.682042i | ||||
\(509\) | 2.55740e25i | 0.494287i | 0.968979 | + | 0.247143i | \(0.0794919\pi\) | ||||
−0.968979 | + | 0.247143i | \(0.920508\pi\) | |||||||
\(510\) | −9.42355e25 | + | 4.95316e25i | −1.78771 | + | 0.939649i | ||||
\(511\) | 3.05648e25i | 0.569145i | ||||||||
\(512\) | 4.07069e25 | + | 3.65527e25i | 0.744053 | + | 0.668121i | ||||
\(513\) | 4.81087e25 | + | 6.34836e25i | 0.863195 | + | 1.13906i | ||||
\(514\) | 1.50515e25 | + | 3.93691e24i | 0.265113 | + | 0.0693436i | ||||
\(515\) | 1.70642e26 | 2.95064 | ||||||||
\(516\) | 3.99133e25 | − | 9.26541e24i | 0.677556 | − | 0.157287i | ||||
\(517\) | 8.24882e25 | 1.37478 | ||||||||
\(518\) | −7.42859e25 | − | 1.94304e25i | −1.21555 | − | 0.317942i | ||||
\(519\) | 5.03638e25 | − | 4.59645e25i | 0.809150 | − | 0.738470i | ||||
\(520\) | 1.70918e25 | + | 1.64904e25i | 0.269623 | + | 0.260136i | ||||
\(521\) | − | 6.33423e25i | − | 0.981150i | −0.871399 | − | 0.490575i | \(-0.836787\pi\) | ||
0.871399 | − | 0.490575i | \(-0.163213\pi\) | |||||||
\(522\) | −2.36736e24 | + | 6.54413e24i | −0.0360077 | + | 0.0995365i | ||||
\(523\) | 1.28882e25i | 0.192498i | 0.995357 | + | 0.0962491i | \(0.0306845\pi\) | ||||
−0.995357 | + | 0.0962491i | \(0.969315\pi\) | |||||||
\(524\) | −1.95469e25 | − | 1.09764e25i | −0.286701 | − | 0.160995i | ||||
\(525\) | 5.67973e25 | − | 5.18360e25i | 0.818115 | − | 0.746652i | ||||
\(526\) | 5.07248e24 | − | 1.93930e25i | 0.0717556 | − | 0.274335i | ||||
\(527\) | −1.10323e26 | −1.53272 | ||||||||
\(528\) | 2.69055e25 | − | 9.23269e25i | 0.367130 | − | 1.25981i | ||||
\(529\) | −6.63958e25 | −0.889840 | ||||||||
\(530\) | −3.14364e25 | + | 1.20187e26i | −0.413821 | + | 1.58211i | ||||
\(531\) | −6.78332e24 | + | 7.41095e25i | −0.0877090 | + | 0.958244i | ||||
\(532\) | −7.44718e25 | − | 4.18191e25i | −0.945870 | − | 0.531146i | ||||
\(533\) | 4.57164e24i | 0.0570379i | ||||||||
\(534\) | −8.01312e24 | − | 1.52452e25i | −0.0982109 | − | 0.186849i | ||||
\(535\) | 1.50389e26i | 1.81074i | ||||||||
\(536\) | −2.34287e25 | − | 2.26044e25i | −0.277130 | − | 0.267379i | ||||
\(537\) | 8.43448e25 | + | 9.24176e25i | 0.980173 | + | 1.07399i | ||||
\(538\) | 1.38662e25 | + | 3.62686e24i | 0.158316 | + | 0.0414094i | ||||
\(539\) | 4.95826e25 | 0.556206 | ||||||||
\(540\) | −1.94062e25 | − | 1.40949e26i | −0.213895 | − | 1.55354i | ||||
\(541\) | −1.10046e26 | −1.19179 | −0.595896 | − | 0.803062i | \(-0.703203\pi\) | ||||
−0.595896 | + | 0.803062i | \(0.703203\pi\) | |||||||
\(542\) | 4.25104e25 | + | 1.11191e25i | 0.452379 | + | 0.118325i | ||||
\(543\) | 1.44519e25 | + | 1.58351e25i | 0.151122 | + | 0.165586i | ||||
\(544\) | −3.60359e25 | − | 1.20039e26i | −0.370293 | − | 1.23348i | ||||
\(545\) | − | 1.70679e26i | − | 1.72351i | ||||||
\(546\) | −8.50199e24 | − | 1.61753e25i | −0.0843705 | − | 0.160518i | ||||
\(547\) | − | 5.77446e25i | − | 0.563160i | −0.959538 | − | 0.281580i | \(-0.909141\pi\) | ||
0.959538 | − | 0.281580i | \(-0.0908585\pi\) | |||||||
\(548\) | 3.84780e25 | − | 6.85221e25i | 0.368806 | − | 0.656773i | ||||
\(549\) | −4.43003e24 | + | 4.83993e25i | −0.0417320 | + | 0.455934i | ||||
\(550\) | −5.23338e25 | + | 2.00082e26i | −0.484548 | + | 1.85251i | ||||
\(551\) | −1.66232e25 | −0.151278 | ||||||||
\(552\) | −3.70908e25 | − | 1.02888e24i | −0.331776 | − | 0.00920329i | ||||
\(553\) | 3.31891e25 | 0.291815 | ||||||||
\(554\) | 1.62123e22 | − | 6.19827e22i | 0.000140121 | − | 0.000535707i | ||||
\(555\) | 2.25680e26 | − | 2.05967e26i | 1.91739 | − | 1.74990i | ||||
\(556\) | 8.95410e25 | − | 1.59455e26i | 0.747844 | − | 1.33177i | ||||
\(557\) | − | 9.71955e25i | − | 0.798035i | −0.916943 | − | 0.399017i | \(-0.869351\pi\) | ||
0.916943 | − | 0.399017i | \(-0.130649\pi\) | |||||||
\(558\) | 5.01565e25 | − | 1.38648e26i | 0.404858 | − | 1.11915i | ||||
\(559\) | 2.09405e25i | 0.166179i | ||||||||
\(560\) | 7.94136e25 | + | 1.30264e26i | 0.619596 | + | 1.01634i | ||||
\(561\) | −1.62723e26 | + | 1.48509e26i | −1.24825 | + | 1.13921i | ||||
\(562\) | −1.26322e26 | − | 3.30410e25i | −0.952760 | − | 0.249206i | ||||
\(563\) | −5.47152e25 | −0.405769 | −0.202884 | − | 0.979203i | \(-0.565032\pi\) | ||||
−0.202884 | + | 0.979203i | \(0.565032\pi\) | |||||||
\(564\) | 3.24884e25 | + | 1.39953e26i | 0.236906 | + | 1.02054i | ||||
\(565\) | −2.37622e26 | −1.70383 | ||||||||
\(566\) | −1.54221e26 | − | 4.03384e25i | −1.08740 | − | 0.284421i | ||||
\(567\) | −1.98735e25 | + | 1.07652e26i | −0.137796 | + | 0.746421i | ||||
\(568\) | −1.37257e26 | + | 1.42263e26i | −0.935893 | + | 0.970024i | ||||
\(569\) | 4.65367e25i | 0.312053i | 0.987753 | + | 0.156027i | \(0.0498686\pi\) | ||||
−0.987753 | + | 0.156027i | \(0.950131\pi\) | |||||||
\(570\) | 3.00834e26 | − | 1.58123e26i | 1.98388 | − | 1.04276i | ||||
\(571\) | − | 1.86299e26i | − | 1.20828i | −0.796878 | − | 0.604141i | \(-0.793516\pi\) | ||
0.796878 | − | 0.604141i | \(-0.206484\pi\) | |||||||
\(572\) | 4.28532e25 | + | 2.40639e25i | 0.273351 | + | 0.153498i | ||||
\(573\) | 2.66195e25 | + | 2.91673e25i | 0.167005 | + | 0.182990i | ||||
\(574\) | −7.43122e24 | + | 2.84109e25i | −0.0458561 | + | 0.175316i | ||||
\(575\) | 7.97963e25 | 0.484326 | ||||||||
\(576\) | 1.67242e26 | + | 9.28555e24i | 0.998462 | + | 0.0554363i | ||||
\(577\) | 2.93815e26 | 1.72545 | 0.862727 | − | 0.505671i | \(-0.168755\pi\) | ||||
0.862727 | + | 0.505671i | \(0.168755\pi\) | |||||||
\(578\) | −2.88491e25 | + | 1.10295e26i | −0.166655 | + | 0.637151i | ||||
\(579\) | −1.24355e26 | − | 1.36258e26i | −0.706673 | − | 0.774309i | ||||
\(580\) | 2.58903e25 | + | 1.45385e25i | 0.144734 | + | 0.0812743i | ||||
\(581\) | − | 1.38592e26i | − | 0.762195i | ||||||
\(582\) | −1.90356e26 | + | 1.00054e26i | −1.02991 | + | 0.541334i | ||||
\(583\) | 2.57077e26i | 1.36840i | ||||||||
\(584\) | 9.94148e25 | − | 1.03040e26i | 0.520630 | − | 0.539617i | ||||
\(585\) | 7.24106e25 | + | 6.62781e24i | 0.373097 | + | 0.0341499i | ||||
\(586\) | −6.85070e25 | − | 1.79188e25i | −0.347302 | − | 0.0908411i | ||||
\(587\) | −1.71010e26 | −0.853022 | −0.426511 | − | 0.904482i | \(-0.640258\pi\) | ||||
−0.426511 | + | 0.904482i | \(0.640258\pi\) | |||||||
\(588\) | 1.95283e25 | + | 8.41235e25i | 0.0958473 | + | 0.412889i | ||||
\(589\) | 3.52190e26 | 1.70091 | ||||||||
\(590\) | 3.07194e26 | + | 8.03502e25i | 1.45988 | + | 0.381850i | ||||
\(591\) | −2.54510e26 | + | 2.32279e26i | −1.19021 | + | 1.08625i | ||||
\(592\) | 1.87234e26 | + | 3.07126e26i | 0.861647 | + | 1.41338i | ||||
\(593\) | 2.23812e24i | 0.0101359i | 0.999987 | + | 0.00506797i | \(0.00161319\pi\) | ||||
−0.999987 | + | 0.00506797i | \(0.998387\pi\) | |||||||
\(594\) | −1.12659e26 | − | 2.72020e26i | −0.502107 | − | 1.21235i | ||||
\(595\) | − | 3.49495e26i | − | 1.53296i | ||||||
\(596\) | −2.66825e25 | + | 4.75164e25i | −0.115182 | + | 0.205118i | ||||
\(597\) | 3.93577e25 | − | 3.59197e25i | 0.167214 | − | 0.152608i | ||||
\(598\) | 4.79856e24 | − | 1.83458e25i | 0.0200655 | − | 0.0767141i | ||||
\(599\) | −1.87477e26 | −0.771601 | −0.385801 | − | 0.922582i | \(-0.626075\pi\) | ||||
−0.385801 | + | 0.922582i | \(0.626075\pi\) | |||||||
\(600\) | −3.60077e26 | − | 9.98835e24i | −1.45868 | − | 0.0404629i | ||||
\(601\) | −4.30174e26 | −1.71529 | −0.857644 | − | 0.514244i | \(-0.828072\pi\) | ||||
−0.857644 | + | 0.514244i | \(0.828072\pi\) | |||||||
\(602\) | −3.40389e25 | + | 1.30137e26i | −0.133601 | + | 0.510780i | ||||
\(603\) | −9.92572e25 | − | 9.08511e24i | −0.383484 | − | 0.0351007i | ||||
\(604\) | 8.63243e25 | − | 1.53727e26i | 0.328308 | − | 0.584655i | ||||
\(605\) | 3.02385e26i | 1.13210i | ||||||||
\(606\) | −2.25831e25 | − | 4.29652e25i | −0.0832328 | − | 0.158353i | ||||
\(607\) | − | 6.47943e25i | − | 0.235096i | −0.993067 | − | 0.117548i | \(-0.962497\pi\) | ||
0.993067 | − | 0.117548i | \(-0.0375033\pi\) | |||||||
\(608\) | 1.15040e26 | + | 3.83208e26i | 0.410927 | + | 1.36883i | ||||
\(609\) | −1.54008e25 | − | 1.68749e25i | −0.0541602 | − | 0.0593439i | ||||
\(610\) | 2.00621e26 | + | 5.24749e25i | 0.694614 | + | 0.181685i | ||||
\(611\) | −7.34262e25 | −0.250299 | ||||||||
\(612\) | −3.16055e26 | − | 2.17591e26i | −1.06078 | − | 0.730301i | ||||
\(613\) | −6.85698e25 | −0.226599 | −0.113300 | − | 0.993561i | \(-0.536142\pi\) | ||||
−0.113300 | + | 0.993561i | \(0.536142\pi\) | |||||||
\(614\) | 2.33783e26 | + | 6.11488e25i | 0.760700 | + | 0.198970i | ||||
\(615\) | −7.87727e25 | − | 8.63122e25i | −0.252384 | − | 0.276540i | ||||
\(616\) | 2.27199e26 | + | 2.19205e26i | 0.716787 | + | 0.691567i | ||||
\(617\) | 4.75871e26i | 1.47836i | 0.673509 | + | 0.739179i | \(0.264786\pi\) | ||||
−0.673509 | + | 0.739179i | \(0.735214\pi\) | |||||||
\(618\) | 2.86156e26 | + | 5.44421e26i | 0.875412 | + | 1.66550i | ||||
\(619\) | 7.07834e25i | 0.213241i | 0.994300 | + | 0.106620i | \(0.0340030\pi\) | ||||
−0.994300 | + | 0.106620i | \(0.965997\pi\) | |||||||
\(620\) | −5.48528e26 | − | 3.08021e26i | −1.62734 | − | 0.913818i | ||||
\(621\) | −9.05401e25 | + | 6.86125e25i | −0.264527 | + | 0.200463i | ||||
\(622\) | 4.13527e25 | − | 1.58099e26i | 0.118986 | − | 0.454904i | ||||
\(623\) | 5.65407e25 | 0.160223 | ||||||||
\(624\) | −2.39497e25 | + | 8.21839e25i | −0.0668416 | + | 0.229368i | ||||
\(625\) | −1.20004e26 | −0.329863 | ||||||||
\(626\) | 1.42217e26 | − | 5.43721e26i | 0.385030 | − | 1.47204i | ||||
\(627\) | 5.19472e26 | − | 4.74095e26i | 1.38522 | − | 1.26422i | ||||
\(628\) | 3.63627e26 | + | 2.04192e26i | 0.955080 | + | 0.536318i | ||||
\(629\) | − | 8.24010e26i | − | 2.13182i | ||||||
\(630\) | 4.39229e26 | + | 1.58893e26i | 1.11932 | + | 0.404920i | ||||
\(631\) | − | 1.30069e25i | − | 0.0326508i | −0.999867 | − | 0.0163254i | \(-0.994803\pi\) | ||
0.999867 | − | 0.0163254i | \(-0.00519677\pi\) | |||||||
\(632\) | −1.11888e26 | − | 1.07951e26i | −0.276675 | − | 0.266940i | ||||
\(633\) | −6.91196e25 | + | 6.30819e25i | −0.168370 | + | 0.153663i | ||||
\(634\) | −5.48483e26 | − | 1.43462e26i | −1.31618 | − | 0.344263i | ||||
\(635\) | 5.18895e26 | 1.22667 | ||||||||
\(636\) | −4.36166e26 | + | 1.01251e26i | −1.01580 | + | 0.235807i | ||||
\(637\) | −4.41355e25 | −0.101266 | ||||||||
\(638\) | 5.94456e25 | + | 1.55487e25i | 0.134376 | + | 0.0351478i | ||||
\(639\) | −5.51662e25 | + | 6.02705e26i | −0.122861 | + | 1.34229i | ||||
\(640\) | 1.55977e26 | − | 6.97449e26i | 0.342256 | − | 1.53039i | ||||
\(641\) | − | 3.20078e26i | − | 0.691998i | −0.938235 | − | 0.345999i | \(-0.887540\pi\) | ||
0.938235 | − | 0.345999i | \(-0.112460\pi\) | |||||||
\(642\) | −4.79806e26 | + | 2.52193e26i | −1.02208 | + | 0.537219i | ||||
\(643\) | − | 3.32867e25i | − | 0.0698661i | −0.999390 | − | 0.0349330i | \(-0.988878\pi\) | ||
0.999390 | − | 0.0349330i | \(-0.0111218\pi\) | |||||||
\(644\) | 5.96422e25 | − | 1.06212e26i | 0.123350 | − | 0.219662i | ||||
\(645\) | −3.60821e26 | − | 3.95355e26i | −0.735316 | − | 0.805694i | ||||
\(646\) | 2.31937e26 | − | 8.86739e26i | 0.465759 | − | 1.78068i | ||||
\(647\) | −6.57665e26 | −1.30141 | −0.650705 | − | 0.759331i | \(-0.725527\pi\) | ||||
−0.650705 | + | 0.759331i | \(0.725527\pi\) | |||||||
\(648\) | 4.17147e26 | − | 2.98278e26i | 0.813442 | − | 0.581646i | ||||
\(649\) | 6.57079e26 | 1.26268 | ||||||||
\(650\) | 4.65844e25 | − | 1.78101e26i | 0.0882193 | − | 0.337279i | ||||
\(651\) | 3.26292e26 | + | 3.57522e26i | 0.608957 | + | 0.667241i | ||||
\(652\) | −1.21203e26 | + | 2.15839e26i | −0.222926 | + | 0.396989i | ||||
\(653\) | 5.01928e26i | 0.909842i | 0.890532 | + | 0.454921i | \(0.150332\pi\) | ||||
−0.890532 | + | 0.454921i | \(0.849668\pi\) | |||||||
\(654\) | 5.44540e26 | − | 2.86219e26i | 0.972840 | − | 0.511340i | ||||
\(655\) | 2.92846e26i | 0.515641i | ||||||||
\(656\) | 1.17461e26 | − | 7.16085e25i | 0.203849 | − | 0.124273i | ||||
\(657\) | 3.99566e25 | − | 4.36537e26i | 0.0683467 | − | 0.746706i | ||||
\(658\) | −4.56314e26 | − | 1.19354e26i | −0.769339 | − | 0.201230i | ||||
\(659\) | 1.13283e27 | 1.88258 | 0.941291 | − | 0.337597i | \(-0.109614\pi\) | ||||
0.941291 | + | 0.337597i | \(0.109614\pi\) | |||||||
\(660\) | −1.22370e27 | + | 2.84068e26i | −2.00451 | + | 0.465324i | ||||
\(661\) | 8.61177e26 | 1.39052 | 0.695262 | − | 0.718757i | \(-0.255288\pi\) | ||||
0.695262 | + | 0.718757i | \(0.255288\pi\) | |||||||
\(662\) | −7.31116e26 | − | 1.91232e26i | −1.16369 | − | 0.304376i | ||||
\(663\) | 1.44846e26 | − | 1.32194e26i | 0.227263 | − | 0.207412i | ||||
\(664\) | −4.50785e26 | + | 4.67225e26i | −0.697225 | + | 0.722652i | ||||
\(665\) | 1.11572e27i | 1.70118i | ||||||||
\(666\) | 1.03558e27 | + | 3.74624e26i | 1.55660 | + | 0.563106i | ||||
\(667\) | − | 2.37080e25i | − | 0.0351317i | ||||||
\(668\) | −2.74239e26 | − | 1.53997e26i | −0.400639 | − | 0.224976i | ||||
\(669\) | −1.22242e26 | + | 1.11564e26i | −0.176065 | + | 0.160686i | ||||
\(670\) | −1.07616e26 | + | 4.11434e26i | −0.152815 | + | 0.584238i | ||||
\(671\) | 4.29124e26 | 0.600785 | ||||||||
\(672\) | −2.82428e26 | + | 4.71810e26i | −0.389852 | + | 0.651266i | ||||
\(673\) | 3.14093e26 | 0.427479 | 0.213740 | − | 0.976891i | \(-0.431436\pi\) | ||||
0.213740 | + | 0.976891i | \(0.431436\pi\) | |||||||
\(674\) | −4.27574e25 | + | 1.63469e26i | −0.0573775 | + | 0.219365i | ||||
\(675\) | −8.78963e26 | + | 6.66090e26i | −1.16301 | + | 0.881348i | ||||
\(676\) | 6.30162e26 | + | 3.53863e26i | 0.822164 | + | 0.461680i | ||||
\(677\) | − | 3.75912e26i | − | 0.483608i | −0.970325 | − | 0.241804i | \(-0.922261\pi\) | ||
0.970325 | − | 0.241804i | \(-0.0777392\pi\) | |||||||
\(678\) | −3.98478e26 | − | 7.58117e26i | −0.505501 | − | 0.961732i | ||||
\(679\) | − | 7.05981e26i | − | 0.883142i | ||||||
\(680\) | −1.13677e27 | + | 1.17822e27i | −1.40229 | + | 1.45343i | ||||
\(681\) | −6.08773e26 | − | 6.67040e26i | −0.740556 | − | 0.811436i | ||||
\(682\) | −1.25945e27 | − | 3.29425e26i | −1.51088 | − | 0.395189i | ||||
\(683\) | 5.89424e26 | 0.697319 | 0.348659 | − | 0.937249i | \(-0.386637\pi\) | ||||
0.348659 | + | 0.937249i | \(0.386637\pi\) | |||||||
\(684\) | 1.00896e27 | + | 6.94630e26i | 1.17718 | + | 0.810439i | ||||
\(685\) | −1.02658e27 | −1.18123 | ||||||||
\(686\) | −9.21382e26 | − | 2.40999e26i | −1.04559 | − | 0.273486i | ||||
\(687\) | −2.87815e26 | − | 3.15362e26i | −0.322125 | − | 0.352956i | ||||
\(688\) | 5.38035e26 | − | 3.28004e26i | 0.593910 | − | 0.362068i | ||||
\(689\) | − | 2.28835e26i | − | 0.249138i | ||||||
\(690\) | 2.25515e26 | + | 4.29049e26i | 0.242163 | + | 0.460724i | ||||
\(691\) | 8.23647e26i | 0.872368i | 0.899857 | + | 0.436184i | \(0.143670\pi\) | ||||
−0.899857 | + | 0.436184i | \(0.856330\pi\) | |||||||
\(692\) | 5.13422e26 | − | 9.14307e26i | 0.536373 | − | 0.955178i | ||||
\(693\) | 9.62544e26 | + | 8.81026e25i | 0.991870 | + | 0.0907868i | ||||
\(694\) | −2.36302e26 | + | 9.03425e26i | −0.240189 | + | 0.918285i | ||||
\(695\) | −2.38892e27 | −2.39523 | ||||||||
\(696\) | −2.96761e24 | + | 1.06981e26i | −0.00293507 | + | 0.105809i | ||||
\(697\) | −3.15146e26 | −0.307468 | ||||||||
\(698\) | 3.55638e26 | − | 1.35967e27i | 0.342280 | − | 1.30860i | ||||
\(699\) | 7.67582e26 | − | 7.00533e26i | 0.728772 | − | 0.665113i | ||||
\(700\) | 5.79007e26 | − | 1.03110e27i | 0.542316 | − | 0.965761i | ||||
\(701\) | 1.95748e27i | 1.80874i | 0.426750 | + | 0.904369i | \(0.359658\pi\) | ||||
−0.426750 | + | 0.904369i | \(0.640342\pi\) | |||||||
\(702\) | 1.00283e26 | + | 2.42136e26i | 0.0914163 | + | 0.220728i | ||||
\(703\) | 2.63054e27i | 2.36576i | ||||||||
\(704\) | −5.29517e25 | − | 1.47798e27i | −0.0469829 | − | 1.31137i | ||||
\(705\) | 1.38628e27 | − | 1.26519e27i | 1.21354 | − | 1.10754i | ||||
\(706\) | 1.53503e27 | + | 4.01505e26i | 1.32578 | + | 0.346774i | ||||
\(707\) | 1.59347e26 | 0.135787 | ||||||||
\(708\) | 2.58794e26 | + | 1.11482e27i | 0.217589 | + | 0.937326i | ||||
\(709\) | −1.32128e27 | −1.09611 | −0.548057 | − | 0.836441i | \(-0.684632\pi\) | ||||
−0.548057 | + | 0.836441i | \(0.684632\pi\) | |||||||
\(710\) | 2.49829e27 | + | 6.53459e26i | 2.04498 | + | 0.534889i | ||||
\(711\) | −4.74019e26 | − | 4.33874e25i | −0.382855 | − | 0.0350431i | ||||
\(712\) | −1.90611e26 | − | 1.83904e26i | −0.151910 | − | 0.146565i | ||||
\(713\) | 5.02293e26i | 0.395009i | ||||||||
\(714\) | 1.11504e27 | − | 5.86084e26i | 0.865284 | − | 0.454806i | ||||
\(715\) | − | 6.42016e26i | − | 0.491630i | ||||||
\(716\) | 1.67775e27 | + | 9.42129e26i | 1.26781 | + | 0.711929i | ||||
\(717\) | 4.60423e26 | + | 5.04491e26i | 0.343341 | + | 0.376202i | ||||
\(718\) | −6.09886e26 | + | 2.33171e27i | −0.448814 | + | 1.71590i | ||||
\(719\) | 1.98161e27 | 1.43911 | 0.719553 | − | 0.694438i | \(-0.244347\pi\) | ||||
0.719553 | + | 0.694438i | \(0.244347\pi\) | |||||||
\(720\) | −9.63921e26 | − | 1.96430e27i | −0.690848 | − | 1.40782i | ||||
\(721\) | −2.01912e27 | −1.42816 | ||||||||
\(722\) | −3.77929e26 | + | 1.44489e27i | −0.263820 | + | 1.00863i | ||||
\(723\) | −1.85431e27 | − | 2.03179e27i | −1.27753 | − | 1.39980i | ||||
\(724\) | 2.87472e26 | + | 1.61427e26i | 0.195469 | + | 0.109764i | ||||
\(725\) | − | 2.30157e26i | − | 0.154459i | ||||||
\(726\) | −9.64740e26 | + | 5.07082e26i | −0.639017 | + | 0.335877i | ||||
\(727\) | − | 2.83819e27i | − | 1.85551i | −0.373185 | − | 0.927757i | \(-0.621734\pi\) | ||
0.373185 | − | 0.927757i | \(-0.378266\pi\) | |||||||
\(728\) | −2.02239e26 | − | 1.95124e26i | −0.130502 | − | 0.125910i | ||||
\(729\) | 4.24572e26 | − | 1.51155e27i | 0.270421 | − | 0.962742i | ||||
\(730\) | −1.80950e27 | − | 4.73297e26i | −1.13761 | − | 0.297555i | ||||
\(731\) | −1.44353e27 | −0.895801 | ||||||||
\(732\) | 1.69012e26 | + | 7.28067e26i | 0.103529 | + | 0.445981i | ||||
\(733\) | 1.03374e27 | 0.625064 | 0.312532 | − | 0.949907i | \(-0.398823\pi\) | ||||
0.312532 | + | 0.949907i | \(0.398823\pi\) | |||||||
\(734\) | −1.46782e27 | − | 3.83925e26i | −0.876111 | − | 0.229157i | ||||
\(735\) | 8.33273e26 | − | 7.60486e26i | 0.490973 | − | 0.448086i | ||||
\(736\) | −5.46530e26 | + | 1.64070e26i | −0.317888 | + | 0.0954309i | ||||
\(737\) | 8.80047e26i | 0.505318i | ||||||||
\(738\) | 1.43276e26 | − | 3.96060e26i | 0.0812154 | − | 0.224505i | ||||
\(739\) | − | 2.99468e27i | − | 1.67583i | −0.545805 | − | 0.837913i | \(-0.683776\pi\) | ||
0.545805 | − | 0.837913i | \(-0.316224\pi\) | |||||||
\(740\) | 2.30064e27 | − | 4.09701e27i | 1.27101 | − | 2.26342i | ||||
\(741\) | −4.62403e26 | + | 4.22012e26i | −0.252202 | + | 0.230172i | ||||
\(742\) | 3.71972e26 | − | 1.42212e27i | 0.200296 | − | 0.765770i | ||||
\(743\) | 7.43215e26 | 0.395113 | 0.197556 | − | 0.980292i | \(-0.436699\pi\) | ||||
0.197556 | + | 0.980292i | \(0.436699\pi\) | |||||||
\(744\) | 6.28736e25 | − | 2.26658e27i | 0.0330009 | − | 1.18967i | ||||
\(745\) | 7.11879e26 | 0.368911 | ||||||||
\(746\) | −7.21634e26 | + | 2.75894e27i | −0.369231 | + | 1.41164i | ||||
\(747\) | −1.81179e26 | + | 1.97943e27i | −0.0915296 | + | 0.999985i | ||||
\(748\) | −1.65884e27 | + | 2.95408e27i | −0.827446 | + | 1.47352i | ||||
\(749\) | − | 1.77948e27i | − | 0.876427i | ||||||
\(750\) | 6.88995e26 | + | 1.31084e27i | 0.335069 | + | 0.637479i | ||||
\(751\) | − | 1.16386e26i | − | 0.0558883i | −0.999609 | − | 0.0279441i | \(-0.991104\pi\) | ||
0.999609 | − | 0.0279441i | \(-0.00889605\pi\) | |||||||
\(752\) | 1.15012e27 | + | 1.88657e27i | 0.545348 | + | 0.894549i | ||||
\(753\) | −8.38293e26 | − | 9.18527e26i | −0.392503 | − | 0.430070i | ||||
\(754\) | −5.29150e25 | − | 1.38406e25i | −0.0244653 | − | 0.00639920i | ||||
\(755\) | −2.30310e27 | −1.05152 | ||||||||
\(756\) | 2.29624e26 | + | 1.66779e27i | 0.103529 | + | 0.751940i | ||||
\(757\) | −4.60430e26 | −0.204999 | −0.102500 | − | 0.994733i | \(-0.532684\pi\) | ||||
−0.102500 | + | 0.994733i | \(0.532684\pi\) | |||||||
\(758\) | −3.28457e27 | − | 8.59119e26i | −1.44418 | − | 0.377742i | ||||
\(759\) | 6.76154e26 | + | 7.40869e26i | 0.293595 | + | 0.321695i | ||||
\(760\) | 3.62898e27 | − | 3.76132e27i | 1.55616 | − | 1.61292i | ||||
\(761\) | 7.62087e26i | 0.322738i | 0.986894 | + | 0.161369i | \(0.0515909\pi\) | ||||
−0.986894 | + | 0.161369i | \(0.948409\pi\) | |||||||
\(762\) | 8.70156e26 | + | 1.65550e27i | 0.363936 | + | 0.692400i | ||||
\(763\) | 2.01956e27i | 0.834208i | ||||||||
\(764\) | 5.29504e26 | + | 2.97339e26i | 0.216014 | + | 0.121301i | ||||
\(765\) | −4.56887e26 | + | 4.99162e27i | −0.184088 | + | 2.01121i | ||||
\(766\) | −2.37075e26 | + | 9.06381e26i | −0.0943436 | + | 0.360693i | ||||
\(767\) | −5.84893e26 | −0.229890 | ||||||||
\(768\) | 2.48673e27 | − | 6.71947e26i | 0.965377 | − | 0.260857i | ||||
\(769\) | 8.04603e26 | 0.308519 | 0.154259 | − | 0.988030i | \(-0.450701\pi\) | ||||
0.154259 | + | 0.988030i | \(0.450701\pi\) | |||||||
\(770\) | 1.04360e27 | − | 3.98987e27i | 0.395250 | − | 1.51111i | ||||
\(771\) | 5.41060e26 | − | 4.93798e26i | 0.202408 | − | 0.184728i | ||||
\(772\) | −2.47363e27 | − | 1.38905e27i | −0.914050 | − | 0.513278i | ||||
\(773\) | − | 2.45018e27i | − | 0.894319i | −0.894454 | − | 0.447160i | \(-0.852436\pi\) | ||
0.894454 | − | 0.447160i | \(-0.147564\pi\) | |||||||
\(774\) | 6.56280e26 | − | 1.81416e27i | 0.236619 | − | 0.654089i | ||||
\(775\) | 4.87626e27i | 1.73668i | ||||||||
\(776\) | −2.29627e27 | + | 2.38001e27i | −0.807861 | + | 0.837323i | ||||
\(777\) | −2.67036e27 | + | 2.43711e27i | −0.928049 | + | 0.846983i | ||||
\(778\) | 9.36172e26 | + | 2.44867e26i | 0.321403 | + | 0.0840668i | ||||
\(779\) | 1.00606e27 | 0.341208 | ||||||||
\(780\) | 1.08927e27 | − | 2.52861e26i | 0.364952 | − | 0.0847194i | ||||
\(781\) | 5.34378e27 | 1.76874 | ||||||||
\(782\) | 1.26466e27 | + | 3.30788e26i | 0.413534 | + | 0.108165i | ||||
\(783\) | 1.97900e26 | + | 2.61146e26i | 0.0639306 | + | 0.0843619i | ||||
\(784\) | 6.91321e26 | + | 1.13399e27i | 0.220636 | + | 0.361916i | ||||
\(785\) | − | 5.44777e27i | − | 1.71774i | ||||||
\(786\) | −9.34308e26 | + | 4.91086e26i | −0.291055 | + | 0.152983i | ||||
\(787\) | 2.68602e27i | 0.826703i | 0.910571 | + | 0.413352i | \(0.135642\pi\) | ||||
−0.910571 | + | 0.413352i | \(0.864358\pi\) | |||||||
\(788\) | −2.59455e27 | + | 4.62039e27i | −0.788973 | + | 1.40501i | ||||
\(789\) | −6.36229e26 | − | 6.97124e26i | −0.191153 | − | 0.209449i | ||||
\(790\) | −5.13936e26 | + | 1.96487e27i | −0.152564 | + | 0.583279i | ||||
\(791\) | 2.81166e27 | 0.824682 | ||||||||
\(792\) | −2.95838e27 | − | 3.42778e27i | −0.857363 | − | 0.993399i | ||||
\(793\) | −3.81981e26 | −0.109382 | ||||||||
\(794\) | 1.87821e26 | − | 7.18073e26i | 0.0531434 | − | 0.203177i | ||||
\(795\) | 3.94299e27 | + | 4.32038e27i | 1.10240 | + | 1.20791i | ||||
\(796\) | 4.01222e26 | − | 7.14501e26i | 0.110844 | − | 0.197392i | ||||
\(797\) | 1.02884e27i | 0.280861i | 0.990091 | + | 0.140431i | \(0.0448487\pi\) | ||||
−0.990091 | + | 0.140431i | \(0.955151\pi\) | |||||||
\(798\) | −3.55963e27 | + | 1.87100e27i | −0.960234 | + | 0.504714i | ||||
\(799\) | − | 5.06162e27i | − | 1.34926i | ||||||
\(800\) | −5.30571e27 | + | 1.59279e27i | −1.39762 | + | 0.419569i | ||||
\(801\) | −8.07533e26 | − | 7.39143e25i | −0.210209 | − | 0.0192406i | ||||
\(802\) | 3.83096e27 | + | 1.00203e27i | 0.985487 | + | 0.257766i | ||||
\(803\) | −3.87048e27 | −0.983936 | ||||||||
\(804\) | −1.49312e27 | + | 3.46610e26i | −0.375113 | + | 0.0870781i | ||||
\(805\) | −1.59123e27 | −0.395069 | ||||||||
\(806\) | 1.12109e27 | + | 2.93235e26i | 0.275079 | + | 0.0719503i | ||||
\(807\) | 4.98448e26 | − | 4.54909e26i | 0.120871 | − | 0.110313i | ||||
\(808\) | −5.37192e26 | − | 5.18291e26i | −0.128743 | − | 0.124213i | ||||
\(809\) | 1.61127e27i | 0.381643i | 0.981625 | + | 0.190821i | \(0.0611152\pi\) | ||||
−0.981625 | + | 0.190821i | \(0.938885\pi\) | |||||||
\(810\) | −6.06551e27 | − | 2.84356e27i | −1.41991 | − | 0.665663i | ||||
\(811\) | − | 7.29737e26i | − | 0.168837i | −0.996430 | − | 0.0844186i | \(-0.973097\pi\) | ||
0.996430 | − | 0.0844186i | \(-0.0269033\pi\) | |||||||
\(812\) | −3.06347e26 | − | 1.72027e26i | −0.0700538 | − | 0.0393382i | ||||
\(813\) | 1.52813e27 | − | 1.39464e27i | 0.345382 | − | 0.315212i | ||||
\(814\) | 2.46051e27 | − | 9.40697e27i | 0.549658 | − | 2.10144i | ||||
\(815\) | 3.23365e27 | 0.713996 | ||||||||
\(816\) | −5.66534e27 | − | 1.65097e27i | −1.23643 | − | 0.360315i | ||||
\(817\) | 4.60829e27 | 0.994100 | ||||||||
\(818\) | −1.20424e27 | + | 4.60402e27i | −0.256777 | + | 0.981705i | ||||
\(819\) | −8.56800e26 | − | 7.84237e25i | −0.180585 | − | 0.0165291i | ||||
\(820\) | −1.56692e27 | − | 8.79889e26i | −0.326448 | − | 0.183314i | ||||
\(821\) | − | 4.82805e26i | − | 0.0994288i | −0.998763 | − | 0.0497144i | \(-0.984169\pi\) | ||
0.998763 | − | 0.0497144i | \(-0.0158311\pi\) | |||||||
\(822\) | −1.72152e27 | − | 3.27524e27i | −0.350452 | − | 0.666747i | ||||
\(823\) | − | 1.78983e27i | − | 0.360174i | −0.983651 | − | 0.180087i | \(-0.942362\pi\) | ||
0.983651 | − | 0.180087i | \(-0.0576379\pi\) | |||||||
\(824\) | 6.80688e27 | + | 6.56738e27i | 1.35407 | + | 1.30642i | ||||
\(825\) | 6.56410e27 | + | 7.19236e27i | 1.29081 | + | 1.41436i | ||||
\(826\) | −3.63488e27 | − | 9.50746e26i | −0.706609 | − | 0.184822i | ||||
\(827\) | −3.88511e26 | −0.0746622 | −0.0373311 | − | 0.999303i | \(-0.511886\pi\) | ||||
−0.0373311 | + | 0.999303i | \(0.511886\pi\) | |||||||
\(828\) | −9.90679e26 | + | 1.43898e27i | −0.188211 | + | 0.273380i | ||||
\(829\) | −8.91483e27 | −1.67435 | −0.837173 | − | 0.546939i | \(-0.815793\pi\) | ||||
−0.837173 | + | 0.546939i | \(0.815793\pi\) | |||||||
\(830\) | 8.20498e27 | + | 2.14611e27i | 1.52348 | + | 0.398483i | ||||
\(831\) | −2.03347e24 | − | 2.22810e24i | −0.000373275 | − | 0.000409001i | ||||
\(832\) | 4.71345e25 | + | 1.31561e27i | 0.00855397 | + | 0.238756i | ||||
\(833\) | − | 3.04247e27i | − | 0.545883i | ||||||
\(834\) | −4.00608e27 | − | 7.62171e27i | −0.710628 | − | 1.35199i | ||||
\(835\) | 4.10859e27i | 0.720561i | ||||||||
\(836\) | 5.29563e27 | − | 9.43051e27i | 0.918244 | − | 1.63522i | ||||
\(837\) | −4.19284e27 | − | 5.53280e27i | −0.718813 | − | 0.948535i | ||||
\(838\) | 1.70244e27 | − | 6.50874e27i | 0.288572 | − | 1.10326i | ||||
\(839\) | 9.48739e27 | 1.59004 | 0.795020 | − | 0.606583i | \(-0.207460\pi\) | ||||
0.795020 | + | 0.606583i | \(0.207460\pi\) | |||||||
\(840\) | 7.18038e27 | + | 1.99180e26i | 1.18986 | + | 0.0330060i | ||||
\(841\) | 6.03488e27 | 0.988796 | ||||||||
\(842\) | −3.07679e25 | + | 1.17632e26i | −0.00498464 | + | 0.0190572i | ||||
\(843\) | −4.54091e27 | + | 4.14425e27i | −0.727412 | + | 0.663872i | ||||
\(844\) | −7.04623e26 | + | 1.25480e27i | −0.111610 | + | 0.198756i | ||||
\(845\) | − | 9.44093e27i | − | 1.47869i | ||||||
\(846\) | 6.36120e27 | + | 2.30119e27i | 0.985192 | + | 0.356397i | ||||
\(847\) | − | 3.57798e27i | − | 0.547955i | ||||||
\(848\) | −5.87957e27 | + | 3.58438e27i | −0.890399 | + | 0.542818i | ||||
\(849\) | −5.54380e27 | + | 5.05955e27i | −0.830204 | + | 0.757685i | ||||
\(850\) | 1.22774e28 | + | 3.21129e27i | 1.81813 | + | 0.475554i | ||||
\(851\) | −3.75168e27 | −0.549407 | ||||||||
\(852\) | 2.10467e27 | + | 9.06645e27i | 0.304795 | + | 1.31299i | ||||
\(853\) | 7.33843e26 | 0.105096 | 0.0525481 | − | 0.998618i | \(-0.483266\pi\) | ||||
0.0525481 | + | 0.998618i | \(0.483266\pi\) | |||||||
\(854\) | −2.37386e27 | − | 6.20911e26i | −0.336205 | − | 0.0879386i | ||||
\(855\) | 1.45855e27 | − | 1.59351e28i | 0.204289 | − | 2.23191i | ||||
\(856\) | −5.78793e27 | + | 5.99901e27i | −0.801719 | + | 0.830957i | ||||
\(857\) | 2.19336e27i | 0.300463i | 0.988651 | + | 0.150232i | \(0.0480019\pi\) | ||||
−0.988651 | + | 0.150232i | \(0.951998\pi\) | |||||||
\(858\) | 2.04831e27 | − | 1.07662e27i | 0.277502 | − | 0.145859i | ||||
\(859\) | − | 5.56537e27i | − | 0.745692i | −0.927893 | − | 0.372846i | \(-0.878382\pi\) | ||
0.927893 | − | 0.372846i | \(-0.121618\pi\) | |||||||
\(860\) | −7.17730e27 | − | 4.03035e27i | −0.951099 | − | 0.534082i | ||||
\(861\) | 9.32080e26 | + | 1.02129e27i | 0.122158 | + | 0.133850i | ||||
\(862\) | −1.66632e27 | + | 6.37067e27i | −0.215993 | + | 0.825783i | ||||
\(863\) | −1.15030e28 | −1.47471 | −0.737355 | − | 0.675505i | \(-0.763926\pi\) | ||||
−0.737355 | + | 0.675505i | \(0.763926\pi\) | |||||||
\(864\) | 4.65052e27 | − | 6.36934e27i | 0.589686 | − | 0.807632i | ||||
\(865\) | −1.36979e28 | −1.71792 | ||||||||
\(866\) | −1.67472e27 | + | 6.40277e27i | −0.207741 | + | 0.794234i | ||||
\(867\) | 3.61847e27 | + | 3.96480e27i | 0.443960 | + | 0.486452i | ||||
\(868\) | 6.49047e27 | + | 3.64467e27i | 0.787660 | + | 0.442304i | ||||
\(869\) | 4.20281e27i | 0.504489i | ||||||||
\(870\) | 1.23751e27 | − | 6.50455e26i | 0.146932 | − | 0.0772297i | ||||
\(871\) | − | 7.83366e26i | − | 0.0920009i | ||||||
\(872\) | 6.56882e27 | − | 6.80837e27i | 0.763098 | − | 0.790928i | ||||
\(873\) | −9.22913e26 | + | 1.00831e28i | −0.106054 | + | 1.15866i | ||||
\(874\) | −4.03727e27 | − | 1.05600e27i | −0.458912 | − | 0.120034i | ||||
\(875\) | −4.86156e27 | −0.546637 | ||||||||
\(876\) | −1.52440e27 | − | 6.56679e27i | −0.169555 | − | 0.730406i | ||||
\(877\) | 4.56288e27 | 0.502045 | 0.251023 | − | 0.967981i | \(-0.419233\pi\) | ||||
0.251023 | + | 0.967981i | \(0.419233\pi\) | |||||||
\(878\) | 1.15841e28 | + | 3.02997e27i | 1.26085 | + | 0.329792i | ||||
\(879\) | −2.46263e27 | + | 2.24752e27i | −0.265158 | + | 0.241996i | ||||
\(880\) | −1.64956e28 | + | 1.00563e28i | −1.75705 | + | 1.07116i | ||||
\(881\) | 1.71287e26i | 0.0180490i | 0.999959 | + | 0.00902451i | \(0.00287263\pi\) | ||||
−0.999959 | + | 0.00902451i | \(0.997127\pi\) | |||||||
\(882\) | 3.82363e27 | + | 1.38321e27i | 0.398588 | + | 0.144191i | ||||
\(883\) | 1.68442e28i | 1.73709i | 0.495607 | + | 0.868547i | \(0.334946\pi\) | ||||
−0.495607 | + | 0.868547i | \(0.665054\pi\) | |||||||
\(884\) | 1.47660e27 | − | 2.62955e27i | 0.150649 | − | 0.268278i | ||||
\(885\) | 1.10427e28 | − | 1.00781e28i | 1.11459 | − | 1.01723i | ||||
\(886\) | −1.34458e27 | + | 5.14059e27i | −0.134267 | + | 0.513326i | ||||
\(887\) | −1.23707e28 | −1.22214 | −0.611068 | − | 0.791578i | \(-0.709260\pi\) | ||||
−0.611068 | + | 0.791578i | \(0.709260\pi\) | |||||||
\(888\) | 1.69293e28 | + | 4.69609e26i | 1.65469 | + | 0.0459001i | ||||
\(889\) | −6.13983e27 | −0.593731 | ||||||||
\(890\) | −8.75535e26 | + | 3.34733e27i | −0.0837661 | + | 0.320253i | ||||
\(891\) | −1.36322e28 | − | 2.51662e27i | −1.29041 | − | 0.238221i | ||||
\(892\) | −1.24617e27 | + | 2.21919e27i | −0.116711 | + | 0.207840i | ||||
\(893\) | 1.61586e28i | 1.49732i | ||||||||
\(894\) | 1.19378e27 | + | 2.27121e27i | 0.109451 | + | 0.208233i | ||||
\(895\) | − | 2.51357e28i | − | 2.28019i | ||||||
\(896\) | −1.84560e27 | + | 8.25258e27i | −0.165658 | + | 0.740736i | ||||
\(897\) | −6.01872e26 | − | 6.59478e26i | −0.0534535 | − | 0.0585696i | ||||
\(898\) | −1.05574e27 | − | 2.76141e26i | −0.0927751 | − | 0.0242665i | ||||
\(899\) | 1.44877e27 | 0.125974 | ||||||||
\(900\) | −9.61751e27 | + | 1.39696e28i | −0.827482 | + | 1.20193i | ||||
\(901\) | 1.57747e28 | 1.34300 | ||||||||
\(902\) | −3.59773e27 | − | 9.41030e26i | −0.303086 | − | 0.0792759i | ||||
\(903\) | 4.26942e27 | + | 4.67805e27i | 0.355906 | + | 0.389970i | ||||
\(904\) | −9.47871e27 | − | 9.14520e27i | −0.781896 | − | 0.754385i | ||||
\(905\) | − | 4.30683e27i | − | 0.351557i | ||||||
\(906\) | −3.86217e27 | − | 7.34790e27i | −0.311970 | − | 0.593534i | ||||
\(907\) | 1.71691e28i | 1.37239i | 0.727417 | + | 0.686195i | \(0.240720\pi\) | ||||
−0.727417 | + | 0.686195i | \(0.759280\pi\) | |||||||
\(908\) | −1.21095e28 | − | 6.79998e27i | −0.957877 | − | 0.537888i | ||||
\(909\) | −2.27585e27 | − | 2.08311e26i | −0.178150 | − | 0.0163063i | ||||
\(910\) | −9.28950e26 | + | 3.55155e27i | −0.0719613 | + | 0.275121i | ||||
\(911\) | 5.54547e27 | 0.425122 | 0.212561 | − | 0.977148i | \(-0.431820\pi\) | ||||
0.212561 | + | 0.977148i | \(0.431820\pi\) | |||||||
\(912\) | 1.80859e28 | + | 5.27051e27i | 1.37211 | + | 0.399854i | ||||
\(913\) | 1.75502e28 | 1.31768 | ||||||||
\(914\) | 6.11522e27 | − | 2.33796e28i | 0.454384 | − | 1.73719i | ||||
\(915\) | 7.21176e27 | − | 6.58181e27i | 0.530323 | − | 0.483999i | ||||
\(916\) | −5.72510e27 | − | 3.21489e27i | −0.416655 | − | 0.233969i | ||||
\(917\) | − | 3.46511e27i | − | 0.249579i | ||||||
\(918\) | −1.66916e28 | + | 6.91298e27i | −1.18985 | + | 0.492788i | ||||
\(919\) | 4.55467e26i | 0.0321336i | 0.999871 | + | 0.0160668i | \(0.00511444\pi\) | ||||
−0.999871 | + | 0.0160668i | \(0.994886\pi\) | |||||||
\(920\) | 5.36439e27 | + | 5.17564e27i | 0.374573 | + | 0.361393i | ||||
\(921\) | 8.40382e27 | − | 7.66974e27i | 0.580778 | − | 0.530047i | ||||
\(922\) | 2.21897e28 | + | 5.80398e27i | 1.51777 | + | 0.396992i | ||||
\(923\) | −4.75672e27 | −0.322026 | ||||||||
\(924\) | 1.44795e28 | − | 3.36124e27i | 0.970218 | − | 0.225225i | ||||
\(925\) | −3.64213e28 | −2.41551 | ||||||||
\(926\) | −1.95932e28 | − | 5.12485e27i | −1.28618 | − | 0.336416i | ||||
\(927\) | 2.88378e28 | + | 2.63955e27i | 1.87372 | + | 0.171503i | ||||
\(928\) | 4.73228e26 | + | 1.57636e27i | 0.0304344 | + | 0.101380i | ||||
\(929\) | − | 1.81649e28i | − | 1.15634i | −0.815917 | − | 0.578169i | \(-0.803767\pi\) | ||
0.815917 | − | 0.578169i | \(-0.196233\pi\) | |||||||
\(930\) | −2.62187e28 | + | 1.37810e28i | −1.65205 | + | 0.868343i | ||||
\(931\) | 9.71270e27i | 0.605784i | ||||||||
\(932\) | 7.82493e27 | − | 1.39347e28i | 0.483092 | − | 0.860295i | ||||
\(933\) | −5.18677e27 | − | 5.68320e27i | −0.316972 | − | 0.347310i | ||||
\(934\) | 4.44969e27 | − | 1.70120e28i | 0.269175 | − | 1.02911i | ||||
\(935\) | 4.42573e28 | 2.65018 | ||||||||
\(936\) | 2.63337e27 | + | 3.05121e27i | 0.156096 | + | 0.180864i | ||||
\(937\) | −1.87439e28 | −1.09985 | −0.549927 | − | 0.835213i | \(-0.685344\pi\) | ||||
−0.549927 | + | 0.835213i | \(0.685344\pi\) | |||||||
\(938\) | 1.27336e27 | − | 4.86830e27i | 0.0739649 | − | 0.282781i | ||||
\(939\) | −1.78379e28 | − | 1.95452e28i | −1.02570 | − | 1.12387i | ||||
\(940\) | 1.41321e28 | − | 2.51666e28i | 0.804436 | − | 1.43255i | ||||
\(941\) | 1.30004e28i | 0.732580i | 0.930501 | + | 0.366290i | \(0.119372\pi\) | ||||
−0.930501 | + | 0.366290i | \(0.880628\pi\) | |||||||
\(942\) | 1.73808e28 | − | 9.13560e27i | 0.969584 | − | 0.509628i | ||||
\(943\) | 1.43484e27i | 0.0792397i | ||||||||
\(944\) | 9.16155e27 | + | 1.50279e28i | 0.500881 | + | 0.821610i | ||||
\(945\) | 1.75276e28 | − | 1.32827e28i | 0.948681 | − | 0.718924i | ||||
\(946\) | −1.64795e28 | − | 4.31041e27i | −0.883035 | − | 0.230969i | ||||
\(947\) | 9.18774e27 | 0.487398 | 0.243699 | − | 0.969851i | \(-0.421639\pi\) | ||||
0.243699 | + | 0.969851i | \(0.421639\pi\) | |||||||
\(948\) | −7.13063e27 | + | 1.65529e27i | −0.374497 | + | 0.0869352i | ||||
\(949\) | 3.44527e27 | 0.179141 | ||||||||
\(950\) | −3.91939e28 | − | 1.02516e28i | −2.01764 | − | 0.527738i | ||||
\(951\) | −1.97164e28 | + | 1.79941e28i | −1.00488 | + | 0.917099i | ||||
\(952\) | 1.34508e28 | − | 1.39414e28i | 0.678731 | − | 0.703484i | ||||
\(953\) | 2.91741e28i | 1.45752i | 0.684768 | + | 0.728761i | \(0.259904\pi\) | ||||
−0.684768 | + | 0.728761i | \(0.740096\pi\) | |||||||
\(954\) | −7.17173e27 | + | 1.98249e28i | −0.354744 | + | 0.980621i | ||||
\(955\) | − | 7.93290e27i | − | 0.388508i | ||||||
\(956\) | 9.15855e27 | + | 5.14291e27i | 0.444096 | + | 0.249379i | ||||
\(957\) | 2.13690e27 | − | 1.95024e27i | 0.102594 | − | 0.0936320i | ||||
\(958\) | −4.42575e27 | + | 1.69204e28i | −0.210385 | + | 0.804340i | ||||
\(959\) | 1.21470e28 | 0.571734 | ||||||||
\(960\) | −2.35587e28 | − | 2.40264e28i | −1.09793 | − | 1.11972i | ||||
\(961\) | −9.02391e27 | −0.416411 | ||||||||
\(962\) | −2.19020e27 | + | 8.37353e27i | −0.100074 | + | 0.382600i | ||||
\(963\) | −2.32627e27 | + | 2.54152e28i | −0.105247 | + | 1.14985i | ||||
\(964\) | −3.68853e28 | − | 2.07126e28i | −1.65242 | − | 0.927905i | ||||
\(965\) | 3.70593e28i | 1.64395i | ||||||||
\(966\) | −2.66841e27 | − | 5.07673e27i | −0.117211 | − | 0.222998i | ||||
\(967\) | 1.31393e28i | 0.571504i | 0.958304 | + | 0.285752i | \(0.0922434\pi\) | ||||
−0.958304 | + | 0.285752i | \(0.907757\pi\) | |||||||
\(968\) | −1.16377e28 | + | 1.20621e28i | −0.501247 | + | 0.519527i | ||||
\(969\) | −2.90913e28 | − | 3.18757e28i | −1.24076 | − | 1.35951i | ||||
\(970\) | 4.17956e28 | + | 1.09322e28i | 1.76522 | + | 0.461716i | ||||
\(971\) | −1.66913e28 | −0.698083 | −0.349041 | − | 0.937107i | \(-0.613493\pi\) | ||||
−0.349041 | + | 0.937107i | \(0.613493\pi\) | |||||||
\(972\) | −1.09931e27 | − | 2.41201e28i | −0.0455294 | − | 0.998963i | ||||
\(973\) | 2.82670e28 | 1.15933 | ||||||||
\(974\) | 2.30378e28 | + | 6.02582e27i | 0.935688 | + | 0.244741i | ||||
\(975\) | −5.84297e27 | − | 6.40221e27i | −0.235012 | − | 0.257505i | ||||
\(976\) | 5.98320e27 | + | 9.81441e27i | 0.238320 | + | 0.390923i | ||||
\(977\) | − | 1.76585e28i | − | 0.696554i | −0.937392 | − | 0.348277i | \(-0.886767\pi\) | ||
0.937392 | − | 0.348277i | \(-0.113233\pi\) | |||||||
\(978\) | 5.42264e27 | + | 1.03168e28i | 0.211832 | + | 0.403017i | ||||
\(979\) | 7.15985e27i | 0.276993i | ||||||||
\(980\) | 8.49460e27 | − | 1.51273e28i | 0.325458 | − | 0.579580i | ||||
\(981\) | 2.64013e27 | − | 2.88441e28i | 0.100177 | − | 1.09446i | ||||
\(982\) | −2.08711e27 | + | 7.97939e27i | −0.0784306 | + | 0.299855i | ||||
\(983\) | 2.04442e28 | 0.760873 | 0.380436 | − | 0.924807i | \(-0.375774\pi\) | ||||
0.380436 | + | 0.924807i | \(0.375774\pi\) | |||||||
\(984\) | 1.79604e26 | − | 6.47467e27i | 0.00662006 | − | 0.238651i | ||||
\(985\) | 6.92216e28 | 2.52696 | ||||||||
\(986\) | 9.54097e26 | − | 3.64769e27i | 0.0344954 | − | 0.131882i | ||||
\(987\) | −1.64032e28 | + | 1.49703e28i | −0.587374 | + | 0.536067i | ||||
\(988\) | −4.71386e27 | + | 8.39449e27i | −0.167180 | + | 0.297717i | ||||
\(989\) | 6.57233e27i | 0.230863i | ||||||||
\(990\) | −2.01209e28 | + | 5.56204e28i | −0.700025 | + | 1.93509i | ||||
\(991\) | − | 4.08251e27i | − | 0.140678i | −0.997523 | − | 0.0703391i | \(-0.977592\pi\) | ||
0.997523 | − | 0.0703391i | \(-0.0224082\pi\) | |||||||
\(992\) | −1.00261e28 | − | 3.33978e28i | −0.342193 | − | 1.13987i | ||||
\(993\) | −2.62815e28 | + | 2.39858e28i | −0.888449 | + | 0.810843i | ||||
\(994\) | −2.95611e28 | − | 7.73206e27i | −0.989805 | − | 0.258896i | ||||
\(995\) | −1.07045e28 | −0.355015 | ||||||||
\(996\) | 6.91223e27 | + | 2.97764e28i | 0.227067 | + | 0.978155i | ||||
\(997\) | −1.11355e28 | −0.362331 | −0.181166 | − | 0.983453i | \(-0.557987\pi\) | ||||
−0.181166 | + | 0.983453i | \(0.557987\pi\) | |||||||
\(998\) | −7.94083e27 | − | 2.07702e27i | −0.255933 | − | 0.0669423i | ||||
\(999\) | 4.13250e28 | − | 3.13167e28i | 1.31929 | − | 0.999778i |
(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 | 12.20.b.a.11.21 | yes | 36 | |
3.2 | odd | 2 | inner | 12.20.b.a.11.16 | yes | 36 | |
4.3 | odd | 2 | inner | 12.20.b.a.11.15 | ✓ | 36 | |
12.11 | even | 2 | inner | 12.20.b.a.11.22 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.20.b.a.11.15 | ✓ | 36 | 4.3 | odd | 2 | inner | |
12.20.b.a.11.16 | yes | 36 | 3.2 | odd | 2 | inner | |
12.20.b.a.11.21 | yes | 36 | 1.1 | even | 1 | trivial | |
12.20.b.a.11.22 | yes | 36 | 12.11 | even | 2 | inner |