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 | 11.16 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.20.b.a.11.15 |
$q$-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 | \(-0.713126\pi\) | ||
0.620637 | − | 0.784098i | \(-0.286874\pi\) | |||||||
\(6\) | 1.34289e7 | + | 2.07129e7i | 0.544007 | + | 0.839080i | ||||
\(7\) | − | 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 | \(-0.727798\pi\) | ||||
−0.656108 | + | 0.754667i | \(0.727798\pi\) | |||||||
\(12\) | −1.69701e10 | + | 5.61196e9i | −0.949432 | + | 0.313973i | ||||
\(13\) | −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 | \(0.222697\pi\) | ||||
−0.765084 | + | 0.643930i | \(0.777303\pi\) | |||||||
\(18\) | 8.30199e11 | + | 1.37859e11i | 0.986491 | + | 0.163813i | ||||
\(19\) | 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 | \(-0.446930\pi\) | ||||
0.165952 | + | 0.986134i | \(0.446930\pi\) | |||||||
\(24\) | −8.21847e11 | − | 1.29160e13i | −0.0635015 | − | 0.997982i | ||||
\(25\) | −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 | \(-0.983146\pi\) | ||
0.998599 | − | 0.0529246i | \(-0.0168543\pi\) | |||||||
\(30\) | 1.41859e14 | − | 9.19723e13i | 1.31584 | − | 0.853110i | ||||
\(31\) | − | 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 | ||||||||
\(36\) | −2.48687e14 | + | 5.56304e14i | −0.408112 | + | 0.912932i | ||||
\(37\) | 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 | \(0.0380880\pi\) | ||||
−0.992850 | + | 0.119372i | \(0.961912\pi\) | |||||||
\(42\) | 1.67855e15 | − | 1.08826e15i | 0.636890 | − | 0.412920i | ||||
\(43\) | − | 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 | \(-0.675500\pi\) | ||||
−0.523837 | + | 0.851818i | \(0.675500\pi\) | |||||||
\(48\) | 9.19841e15 | + | 1.79086e15i | 0.981570 | + | 0.191104i | ||||
\(49\) | 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 | \(-0.825407\pi\) | ||
0.853308 | − | 0.521407i | \(-0.174593\pi\) | |||||||
\(54\) | 2.25509e16 | − | 1.77373e16i | 0.786001 | − | 0.618225i | ||||
\(55\) | 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 | \(-0.659772\pi\) | ||||
−0.481125 | + | 0.876652i | \(0.659772\pi\) | |||||||
\(60\) | 3.84353e16 | + | 1.16225e17i | 0.492371 | + | 1.48889i | ||||
\(61\) | 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 | ||||||||
\(66\) | −1.37809e17 | − | 2.12557e17i | −0.713855 | − | 1.10105i | ||||
\(67\) | 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 | \(-0.735404\pi\) | ||||
−0.673951 | + | 0.738776i | \(0.735404\pi\) | |||||||
\(72\) | −3.44131e17 | − | 2.76138e17i | −0.779947 | − | 0.625846i | ||||
\(73\) | −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 | ||||||||
\(78\) | −1.22669e17 | − | 1.89206e17i | −0.129968 | − | 0.200464i | ||||
\(79\) | 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 | \(-0.667433\pi\) | ||||
−0.502083 | + | 0.864820i | \(0.667433\pi\) | |||||||
\(84\) | 4.54786e17 | + | 1.37524e18i | 0.238316 | + | 0.720651i | ||||
\(85\) | 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 | \(-0.966342\pi\) | ||
0.994415 | − | 0.105544i | \(-0.0336584\pi\) | |||||||
\(90\) | 9.44172e17 | − | 5.68588e18i | 0.256890 | − | 1.54701i | ||||
\(91\) | 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 | ||||||||
\(96\) | −2.93991e18 | + | 6.11546e18i | −0.433269 | + | 0.901264i | ||||
\(97\) | 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 | \(-0.971490\pi\) | ||
0.995992 | − | 0.0894475i | \(-0.0285101\pi\) | |||||||
\(102\) | −1.30429e19 | + | 8.45620e18i | −1.08062 | + | 0.700606i | ||||
\(103\) | − | 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 | \(-0.695906\pi\) | ||||
−0.577331 | + | 0.816510i | \(0.695906\pi\) | |||||||
\(108\) | 8.29323e18 | + | 1.90471e19i | 0.399207 | + | 0.916861i | ||||
\(109\) | −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 | \(-0.817196\pi\) | ||
0.839575 | − | 0.543245i | \(-0.182804\pi\) | |||||||
\(114\) | −4.16378e19 | + | 2.69953e19i | −1.19920 | + | 0.777486i | ||||
\(115\) | − | 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 | ||||||||
\(120\) | −8.84595e19 | + | 5.62867e18i | −1.56503 | + | 0.0995828i | ||||
\(121\) | 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 | ||||||||
\(126\) | 1.11719e19 | − | 6.72782e19i | 0.124339 | − | 0.748780i | ||||
\(127\) | − | 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 | \(-0.552571\pi\) | ||||
−0.164406 | + | 0.986393i | \(0.552571\pi\) | |||||||
\(132\) | 1.74149e20 | − | 5.75904e19i | 1.24586 | − | 0.412001i | ||||
\(133\) | 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 | \(-0.877086\pi\) | ||
0.926368 | − | 0.376619i | \(-0.122914\pi\) | |||||||
\(138\) | 3.85007e19 | + | 5.93837e19i | 0.180558 | + | 0.278494i | ||||
\(139\) | 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 | ||||||||
\(144\) | 2.56492e20 | − | 1.90472e20i | 0.802842 | − | 0.596192i | ||||
\(145\) | −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 | \(0.0375274\pi\) | ||||
−0.993058 | + | 0.117623i | \(0.962473\pi\) | |||||||
\(150\) | −3.73764e20 | − | 5.76496e20i | −0.793836 | − | 1.22442i | ||||
\(151\) | 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 | ||||||||
\(156\) | 1.55017e20 | − | 5.12636e19i | 0.226828 | − | 0.0750111i | ||||
\(157\) | −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 | ||||||
\(162\) | 7.16102e19 | − | 9.75496e20i | 0.0732120 | − | 0.997316i | ||||
\(163\) | − | 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 | \(-0.573788\pi\) | ||||
−0.229742 | + | 0.973252i | \(0.573788\pi\) | |||||||
\(168\) | −1.04670e21 | + | 6.66014e19i | −0.757502 | + | 0.0481998i | ||||
\(169\) | −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 | \(-0.815490\pi\) | ||
0.836651 | − | 0.547736i | \(-0.184510\pi\) | |||||||
\(174\) | 1.71281e20 | − | 1.11048e20i | 0.0888160 | − | 0.0575828i | ||||
\(175\) | 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 | \(-0.240908\pi\) | ||||
0.727012 | + | 0.686625i | \(0.240908\pi\) | |||||||
\(180\) | 3.81002e21 | + | 1.70321e21i | 1.43166 | + | 0.639999i | ||||
\(181\) | −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 | ||||||
\(186\) | 3.62887e21 | − | 2.35273e21i | 0.998615 | − | 0.647440i | ||||
\(187\) | − | 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 | \(-0.460469\pi\) | ||||
0.123871 | + | 0.992298i | \(0.460469\pi\) | |||||||
\(192\) | −3.74527e21 | − | 3.17996e21i | −0.762293 | − | 0.647232i | ||||
\(193\) | 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 | \(0.298205\pi\) | ||||
−0.592339 | + | 0.805689i | \(0.701795\pi\) | |||||||
\(198\) | −8.51958e21 | − | 1.41472e21i | −1.29449 | − | 0.214957i | ||||
\(199\) | 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 | ||||||||
\(204\) | −3.53385e21 | − | 1.06861e22i | −0.404354 | − | 1.22274i | ||||
\(205\) | 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 | ||||||
\(210\) | −7.45332e21 | − | 1.14960e22i | −0.647539 | − | 0.998769i | ||||
\(211\) | − | 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 | ||||||||
\(216\) | −1.48623e22 | + | 2.31955e21i | −0.988039 | + | 0.154203i | ||||
\(217\) | −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 | ||||||
\(222\) | 1.75728e22 | + | 2.71044e22i | 0.900507 | + | 1.38895i | ||||
\(223\) | − | 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 | \(-0.685099\pi\) | ||||
−0.549284 | + | 0.835636i | \(0.685099\pi\) | |||||||
\(228\) | −1.12814e22 | − | 3.41140e22i | −0.448725 | − | 1.35691i | ||||
\(229\) | 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 | \(-0.835781\pi\) | ||
0.869844 | − | 0.493326i | \(-0.164219\pi\) | |||||||
\(234\) | −7.58363e21 | − | 1.25930e21i | −0.235682 | − | 0.0391363i | ||||
\(235\) | 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 | \(-0.418036\pi\) | ||||
0.254662 | + | 0.967030i | \(0.418036\pi\) | |||||||
\(240\) | 1.22652e22 | − | 6.29982e22i | 0.299688 | − | 1.53929i | ||||
\(241\) | 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 | ||||||
\(246\) | −1.03662e22 | + | 6.72077e21i | −0.200325 | + | 0.129878i | ||||
\(247\) | − | 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 | \(-0.594030\pi\) | ||||
−0.291127 | + | 0.956684i | \(0.594030\pi\) | |||||||
\(252\) | 4.50822e22 | + | 2.01533e22i | 0.692946 | + | 0.309771i | ||||
\(253\) | −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 | \(-0.956249\pi\) | ||
0.990569 | − | 0.137016i | \(-0.0437512\pi\) | |||||||
\(258\) | 4.74825e22 | − | 3.07847e22i | 0.583641 | − | 0.378397i | ||||
\(259\) | − | 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 | \(-0.545283\pi\) | ||||
−0.141782 | + | 0.989898i | \(0.545283\pi\) | |||||||
\(264\) | 8.43387e21 | + | 1.32546e23i | 0.0833277 | + | 1.30957i | ||||
\(265\) | −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 | \(-0.973926\pi\) | ||
0.996647 | − | 0.0818209i | \(-0.0260736\pi\) | |||||||
\(270\) | −1.21479e23 | − | 1.54447e23i | −0.969498 | − | 1.23260i | ||||
\(271\) | 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 | ||||||||
\(276\) | −4.86533e22 | + | 1.60894e22i | −0.315120 | + | 0.104209i | ||||
\(277\) | 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 | \(0.163882\pi\) | ||||
−0.870366 | + | 0.492406i | \(0.836118\pi\) | |||||||
\(282\) | −1.07944e23 | − | 1.66493e23i | −0.569943 | − | 0.879083i | ||||
\(283\) | − | 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 | ||||||||
\(288\) | 8.64311e22 | + | 2.14575e23i | 0.373630 | + | 0.927578i | ||||
\(289\) | −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 | \(0.0574457\pi\) | ||||
−0.983759 | + | 0.179493i | \(0.942554\pi\) | |||||||
\(294\) | 6.48836e22 | + | 1.00077e23i | 0.230587 | + | 0.355659i | ||||
\(295\) | 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 | ||||||||
\(300\) | 4.72326e23 | − | 1.56196e23i | 1.38545 | − | 0.458162i | ||||
\(301\) | −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 | ||||||
\(306\) | −8.68100e22 | + | 5.22776e23i | −0.210968 | + | 1.27046i | ||||
\(307\) | 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 | \(-0.575543\pi\) | ||||
−0.235104 | + | 0.971970i | \(0.575543\pi\) | |||||||
\(312\) | 7.50733e21 | + | 1.17984e23i | 0.0151711 | + | 0.238427i | ||||
\(313\) | 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 | \(0.238120\pi\) | ||||
−0.733000 | + | 0.680229i | \(0.761880\pi\) | |||||||
\(318\) | 5.18881e23 | − | 3.36410e23i | 0.875005 | − | 0.567299i | ||||
\(319\) | 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 | ||||||||
\(324\) | 6.70225e23 | + | 2.28901e23i | 0.946331 | + | 0.323199i | ||||
\(325\) | 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 | ||||||||
\(330\) | −1.45577e24 | + | 9.43828e23i | −1.72667 | + | 1.11946i | ||||
\(331\) | − | 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 | ||||||||
\(336\) | 1.45129e23 | − | 7.45428e23i | 0.145054 | − | 0.745045i | ||||
\(337\) | −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 | ||||||||
\(342\) | −2.77129e23 | + | 1.66889e24i | −0.234118 | + | 1.40988i | ||||
\(343\) | − | 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 | \(-0.342597\pi\) | ||||
0.474589 | + | 0.880208i | \(0.342597\pi\) | |||||||
\(348\) | 4.64070e22 | + | 1.40331e23i | 0.0332338 | + | 0.100497i | ||||
\(349\) | 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 | \(-0.759719\pi\) | ||
0.728364 | − | 0.685191i | \(-0.240281\pi\) | |||||||
\(354\) | −8.59852e23 | − | 1.32624e24i | −0.523471 | − | 0.807405i | ||||
\(355\) | 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 | \(-0.152915\pi\) | ||||
0.886812 | + | 0.462131i | \(0.152915\pi\) | |||||||
\(360\) | −1.89122e24 | + | 2.35689e24i | −0.981449 | + | 1.22311i | ||||
\(361\) | −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 | ||||||||
\(366\) | 5.61550e23 | + | 8.66138e23i | 0.249068 | + | 0.384164i | ||||
\(367\) | − | 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 | ||||||||
\(372\) | 9.83208e23 | + | 2.97315e24i | 0.373669 | + | 1.12995i | ||||
\(373\) | −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 | ||||||||
\(378\) | −1.43741e24 | − | 1.82750e24i | −0.469254 | − | 0.596602i | ||||
\(379\) | − | 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 | \(-0.440314\pi\) | ||||
0.186414 | + | 0.982471i | \(0.440314\pi\) | |||||||
\(384\) | 2.91383e24 | − | 2.04095e24i | 0.819065 | − | 0.573701i | ||||
\(385\) | 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 | \(-0.946880\pi\) | ||
0.986108 | − | 0.166108i | \(-0.0531199\pi\) | |||||||
\(390\) | −1.29584e24 | + | 8.40140e23i | −0.314367 | + | 0.203816i | ||||
\(391\) | 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 | ||||||||
\(396\) | 2.55205e24 | − | 5.70884e24i | 0.535531 | − | 1.19796i | ||||
\(397\) | 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 | \(-0.829897\pi\) | ||
0.860577 | − | 0.509320i | \(-0.170103\pi\) | |||||||
\(402\) | −1.77628e24 | + | 1.15163e24i | −0.323119 | + | 0.209490i | ||||
\(403\) | 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 | ||||||||
\(408\) | 8.13323e24 | − | 5.17517e23i | 1.28526 | − | 0.0817811i | ||||
\(409\) | −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 | ||||||||
\(414\) | 2.38017e24 | + | 3.95241e23i | 0.327420 | + | 0.0543700i | ||||
\(415\) | 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 | \(-0.693130\pi\) | ||||
−0.570189 | + | 0.821514i | \(0.693130\pi\) | |||||||
\(420\) | 9.41875e24 | − | 3.11474e24i | 1.13012 | − | 0.373727i | ||||
\(421\) | −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 | ||||||
\(426\) | −6.99286e24 | − | 1.07858e25i | −0.733269 | − | 1.13100i | ||||
\(427\) | − | 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 | \(-0.359647\pi\) | ||||
0.426782 | + | 0.904355i | \(0.359647\pi\) | |||||||
\(432\) | 1.09830e24 | − | 1.08362e25i | 0.100838 | − | 0.994903i | ||||
\(433\) | −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 | ||||||||
\(438\) | −5.06489e24 | − | 7.81212e24i | −0.407912 | − | 0.629166i | ||||
\(439\) | 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 | \(-0.414530\pi\) | ||||
0.265297 | + | 0.964167i | \(0.414530\pi\) | |||||||
\(444\) | −2.22067e25 | + | 7.34367e24i | −1.57162 | + | 0.519727i | ||||
\(445\) | −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 | \(0.0152682\pi\) | ||||
−0.998850 | + | 0.0479481i | \(0.984732\pi\) | |||||||
\(450\) | −2.31067e25 | − | 3.83700e24i | −1.43953 | − | 0.239041i | ||||
\(451\) | − | 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 | ||||||||
\(456\) | 2.59643e25 | − | 1.65210e24i | 1.42630 | − | 0.0907552i | ||||
\(457\) | 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 | \(-0.712962\pi\) | ||
0.620233 | − | 0.784417i | \(-0.287038\pi\) | |||||||
\(462\) | −1.72254e25 | + | 1.11679e25i | −0.835738 | + | 0.541840i | ||||
\(463\) | − | 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 | \(-0.678508\pi\) | ||||
−0.531863 | + | 0.846830i | \(0.678508\pi\) | |||||||
\(468\) | 2.27168e24 | − | 5.08167e24i | 0.0975017 | − | 0.218108i | ||||
\(469\) | 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 | ||||||||
\(474\) | −8.48289e24 | + | 5.49978e24i | −0.322589 | + | 0.209147i | ||||
\(475\) | − | 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 | \(-0.363537\pi\) | ||||
0.415699 | + | 0.909502i | \(0.363537\pi\) | |||||||
\(480\) | 4.18836e25 | + | 2.01349e25i | 1.41336 | + | 0.679451i | ||||
\(481\) | −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 | ||||||
\(486\) | −2.29186e25 | − | 2.42218e25i | −0.687295 | − | 0.726378i | ||||
\(487\) | 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 | \(-0.450472\pi\) | ||||
0.154971 | + | 0.987919i | \(0.450472\pi\) | |||||||
\(492\) | −2.80861e24 | − | 8.49304e24i | −0.0749590 | − | 0.226670i | ||||
\(493\) | 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 | ||||||||
\(498\) | −2.29662e25 | − | 3.54232e25i | −0.546273 | − | 0.842575i | ||||
\(499\) | − | 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 | \(-0.304681\pi\) | ||||
0.575825 | + | 0.817573i | \(0.304681\pi\) | |||||||
\(504\) | −2.23779e25 | + | 2.78879e25i | −0.475038 | + | 0.592006i | ||||
\(505\) | −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 | \(-0.920508\pi\) | ||
0.968979 | − | 0.247143i | \(-0.0794919\pi\) | |||||||
\(510\) | 5.79150e25 | + | 8.93284e25i | 1.09869 | + | 1.69462i | ||||
\(511\) | 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 | ||||||||
\(516\) | 1.28649e25 | + | 3.89026e25i | 0.218391 | + | 0.660399i | ||||
\(517\) | 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 | \(0.163213\pi\) | ||||
−0.871399 | + | 0.490575i | \(0.836787\pi\) | |||||||
\(522\) | 1.14000e24 | − | 6.86516e24i | 0.0173394 | − | 0.104419i | ||||
\(523\) | 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 | ||||||||
\(528\) | −9.43950e25 | − | 1.83779e25i | −1.28803 | − | 0.250769i | ||||
\(529\) | −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 | ||||||
\(534\) | 1.44514e25 | − | 9.36936e24i | 0.177120 | − | 0.114833i | ||||
\(535\) | 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 | ||||||||
\(540\) | 1.30450e26 | − | 5.67988e25i | 1.43782 | − | 0.626034i | ||||
\(541\) | −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 | ||||||||
\(546\) | −1.53330e25 | + | 9.94097e24i | −0.152159 | + | 0.0986504i | ||||
\(547\) | − | 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 | ||||||||
\(552\) | −2.35623e24 | − | 3.70302e25i | −0.0210764 | − | 0.331234i | ||||
\(553\) | 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 | \(0.130649\pi\) | ||||
−0.916943 | + | 0.399017i | \(0.869351\pi\) | |||||||
\(558\) | 2.41528e25 | − | 1.45450e26i | 0.194958 | − | 1.17405i | ||||
\(559\) | 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 | \(-0.434968\pi\) | ||||
0.202884 | + | 0.979203i | \(0.434968\pi\) | |||||||
\(564\) | 1.36409e26 | − | 4.51098e25i | 0.994696 | − | 0.328942i | ||||
\(565\) | −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 | \(-0.950131\pi\) | ||
0.987753 | − | 0.156027i | \(-0.0498686\pi\) | |||||||
\(570\) | 1.84886e26 | + | 2.85169e26i | 1.21925 | + | 1.88058i | ||||
\(571\) | − | 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 | ||||||||
\(576\) | −1.66149e26 | + | 2.12300e25i | −0.991935 | + | 0.126747i | ||||
\(577\) | 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 | ||||||||
\(582\) | 1.16988e26 | + | 1.80443e26i | 0.632957 | + | 0.976277i | ||||
\(583\) | 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 | \(-0.359742\pi\) | ||||
0.426511 | + | 0.904482i | \(0.359742\pi\) | |||||||
\(588\) | −8.19933e25 | + | 2.71149e25i | −0.402433 | + | 0.133083i | ||||
\(589\) | 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 | \(-0.998387\pi\) | ||
0.999987 | − | 0.00506797i | \(-0.00161319\pi\) | |||||||
\(594\) | −2.31419e26 | + | 1.82022e26i | −1.03140 | + | 0.811245i | ||||
\(595\) | − | 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 | \(-0.373925\pi\) | ||||
0.385801 | + | 0.922582i | \(0.373925\pi\) | |||||||
\(600\) | 2.28742e25 | + | 3.59489e26i | 0.0926638 | + | 1.45629i | ||||
\(601\) | −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 | ||||||
\(606\) | 4.07279e25 | − | 2.64054e25i | 0.150107 | − | 0.0973202i | ||||
\(607\) | − | 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 | ||||||||
\(612\) | −3.50305e26 | − | 1.56598e26i | −1.17573 | − | 0.525591i | ||||
\(613\) | −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 | \(-0.735214\pi\) | ||
0.673509 | − | 0.739179i | \(-0.264786\pi\) | |||||||
\(618\) | 5.16072e26 | − | 3.34589e26i | 1.57877 | − | 1.02358i | ||||
\(619\) | 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 | ||||||||
\(624\) | −8.40248e25 | − | 1.63590e25i | −0.234506 | − | 0.0456564i | ||||
\(625\) | −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 | ||||||||
\(630\) | −4.60776e26 | − | 7.65145e25i | −1.17423 | − | 0.194988i | ||||
\(631\) | − | 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 | ||||||||
\(636\) | 1.40586e26 | + | 4.25122e26i | 0.327416 | + | 0.990081i | ||||
\(637\) | −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 | \(0.112460\pi\) | ||||
−0.938235 | + | 0.345999i | \(0.887540\pi\) | |||||||
\(642\) | −2.94878e26 | − | 4.54822e26i | −0.628144 | − | 0.968854i | ||||
\(643\) | − | 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 | \(-0.274473\pi\) | ||||
0.650705 | + | 0.759331i | \(0.274473\pi\) | |||||||
\(648\) | −2.83151e26 | + | 4.27559e26i | −0.552149 | + | 0.833746i | ||||
\(649\) | 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 | \(-0.849668\pi\) | ||
0.890532 | − | 0.454921i | \(-0.150332\pi\) | |||||||
\(654\) | −3.34662e26 | − | 5.16185e26i | −0.597885 | − | 0.922182i | ||||
\(655\) | 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 | \(-0.890386\pi\) | ||||
−0.941291 | + | 0.337597i | \(0.890386\pi\) | |||||||
\(660\) | −3.94426e26 | − | 1.19272e27i | −0.646098 | − | 1.95375i | ||||
\(661\) | 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 | ||||||
\(666\) | 1.08638e27 | + | 1.80399e26i | 1.63296 | + | 0.271162i | ||||
\(667\) | − | 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 | ||||||||
\(672\) | 4.95589e26 | + | 2.38247e26i | 0.684090 | + | 0.328866i | ||||
\(673\) | 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 | \(0.0777392\pi\) | ||||
−0.970325 | + | 0.241804i | \(0.922261\pi\) | |||||||
\(678\) | 7.18639e26 | − | 4.65921e26i | 0.911652 | − | 0.591058i | ||||
\(679\) | − | 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 | \(-0.613363\pi\) | ||||
−0.348659 | + | 0.937249i | \(0.613363\pi\) | |||||||
\(684\) | −1.11830e27 | − | 4.99919e26i | −1.30475 | − | 0.583266i | ||||
\(685\) | −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 | ||||||||
\(690\) | 4.06707e26 | − | 2.63684e26i | 0.436733 | − | 0.283150i | ||||
\(691\) | 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 | ||||||||
\(696\) | −1.06807e26 | + | 6.79610e24i | −0.105636 | + | 0.00672159i | ||||
\(697\) | −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 | \(-0.640342\pi\) | ||
0.426750 | − | 0.904369i | \(-0.359658\pi\) | |||||||
\(702\) | −2.05996e26 | + | 1.62025e26i | −0.187783 | + | 0.147700i | ||||
\(703\) | 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 | ||||||||
\(708\) | 1.08659e27 | − | 3.59332e26i | 0.913591 | − | 0.302121i | ||||
\(709\) | −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 | ||||||
\(714\) | 6.85280e26 | + | 1.05698e27i | 0.531784 | + | 0.820226i | ||||
\(715\) | − | 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 | \(-0.755653\pi\) | ||||
−0.719553 | + | 0.694438i | \(0.755653\pi\) | |||||||
\(720\) | −1.30450e27 | − | 1.75666e27i | −0.934946 | − | 1.25901i | ||||
\(721\) | −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 | ||||||||
\(726\) | 5.92907e26 | + | 9.14504e26i | 0.392725 | + | 0.605742i | ||||
\(727\) | − | 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 | ||||||||
\(732\) | −7.09631e26 | + | 2.34672e26i | −0.434688 | + | 0.143749i | ||||
\(733\) | 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 | ||||||
\(738\) | −6.89943e25 | + | 4.15489e26i | −0.0391091 | + | 0.235518i | ||||
\(739\) | − | 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 | \(-0.563301\pi\) | ||||
−0.197556 | + | 0.980292i | \(0.563301\pi\) | |||||||
\(744\) | −2.26287e27 | + | 1.43986e26i | −1.18773 | + | 0.0755751i | ||||
\(745\) | 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 | ||||||||
\(750\) | −1.24258e27 | + | 8.05609e26i | −0.604284 | + | 0.391780i | ||||
\(751\) | − | 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 | ||||||||
\(756\) | 1.54355e27 | − | 6.72073e26i | 0.695928 | − | 0.303012i | ||||
\(757\) | −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 | \(-0.948409\pi\) | ||
0.986894 | − | 0.161369i | \(-0.0515909\pi\) | |||||||
\(762\) | 1.56929e27 | − | 1.01743e27i | 0.656345 | − | 0.425533i | ||||
\(763\) | 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 | ||||||||
\(768\) | 8.95815e26 | + | 2.41513e27i | 0.347766 | + | 0.937582i | ||||
\(769\) | 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 | \(0.147564\pi\) | ||||
−0.894454 | + | 0.447160i | \(0.852436\pi\) | |||||||
\(774\) | 3.16030e26 | − | 1.90316e27i | 0.113944 | − | 0.686177i | ||||
\(775\) | 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 | ||||||||
\(780\) | −3.51095e26 | − | 1.06168e27i | −0.117632 | − | 0.355711i | ||||
\(781\) | 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 | ||||||||
\(786\) | −5.74204e26 | − | 8.85656e26i | −0.178876 | − | 0.275899i | ||||
\(787\) | 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 | ||||||||
\(792\) | 3.53150e27 | + | 2.83375e27i | 1.02346 | + | 0.821245i | ||||
\(793\) | −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 | \(-0.955151\pi\) | ||
0.990091 | − | 0.140431i | \(-0.0448487\pi\) | |||||||
\(798\) | 2.18767e27 | + | 3.37427e27i | 0.590138 | + | 0.910233i | ||||
\(799\) | − | 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 | ||||||||
\(804\) | −4.81265e26 | − | 1.45531e27i | −0.120907 | − | 0.365614i | ||||
\(805\) | −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 | \(-0.938885\pi\) | ||
0.981625 | − | 0.190821i | \(-0.0611152\pi\) | |||||||
\(810\) | −6.68099e27 | − | 4.90445e26i | −1.56399 | − | 0.114811i | ||||
\(811\) | − | 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 | ||||||||
\(816\) | −1.12770e27 | + | 5.79224e27i | −0.246115 | + | 1.26413i | ||||
\(817\) | 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 | \(0.0158311\pi\) | ||||
−0.998763 | + | 0.0497144i | \(0.984169\pi\) | |||||||
\(822\) | 3.10469e27 | − | 2.01289e27i | 0.632028 | − | 0.409767i | ||||
\(823\) | − | 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 | \(-0.488114\pi\) | ||||
0.0373311 | + | 0.999303i | \(0.488114\pi\) | |||||||
\(828\) | −7.12983e26 | + | 1.59492e27i | −0.135454 | + | 0.303005i | ||||
\(829\) | −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 | ||||||||
\(834\) | −7.22482e27 | + | 4.68413e27i | −1.28159 | + | 0.830904i | ||||
\(835\) | 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 | \(-0.792540\pi\) | ||||
−0.795020 | + | 0.606583i | \(0.792540\pi\) | |||||||
\(840\) | 4.56140e26 | + | 7.16865e27i | 0.0755867 | + | 1.18791i | ||||
\(841\) | 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 | ||||||||
\(846\) | −6.67326e27 | − | 1.10813e27i | −1.03352 | − | 0.171622i | ||||
\(847\) | − | 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 | ||||||||
\(852\) | 8.83687e27 | − | 2.92232e27i | 1.27974 | − | 0.423205i | ||||
\(853\) | 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 | \(-0.951998\pi\) | ||
0.988651 | − | 0.150232i | \(-0.0480019\pi\) | |||||||
\(858\) | 1.25885e27 | + | 1.94165e27i | 0.170547 | + | 0.263052i | ||||
\(859\) | − | 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 | \(-0.236074\pi\) | ||||
0.737355 | + | 0.675505i | \(0.236074\pi\) | |||||||
\(864\) | 7.38963e27 | + | 2.75485e27i | 0.937005 | + | 0.349316i | ||||
\(865\) | −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 | ||||||
\(870\) | −7.60546e26 | − | 1.17307e27i | −0.0903011 | − | 0.139281i | ||||
\(871\) | − | 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 | ||||||||
\(876\) | 6.40050e27 | − | 2.11662e27i | 0.711910 | − | 0.235426i | ||||
\(877\) | 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 | \(-0.997127\pi\) | ||
0.999959 | − | 0.00902451i | \(-0.00287263\pi\) | |||||||
\(882\) | 4.01121e27 | + | 6.66084e26i | 0.418142 | + | 0.0694348i | ||||
\(883\) | 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 | \(-0.290740\pi\) | ||||
0.611068 | + | 0.791578i | \(0.290740\pi\) | |||||||
\(888\) | −1.07545e27 | − | 1.69016e28i | −0.105115 | − | 1.65198i | ||||
\(889\) | −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 | ||||||
\(894\) | −2.15294e27 | + | 1.39583e27i | −0.197390 | + | 0.127975i | ||||
\(895\) | − | 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 | ||||||||
\(900\) | 6.92164e27 | − | 1.54835e28i | 0.595532 | − | 1.33218i | ||||
\(901\) | 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 | ||||||||
\(906\) | −6.96528e27 | + | 4.51585e27i | −0.562627 | + | 0.364772i | ||||
\(907\) | 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 | \(-0.568180\pi\) | ||||
−0.212561 | + | 0.977148i | \(0.568180\pi\) | |||||||
\(912\) | −3.60004e27 | + | 1.84910e28i | −0.273122 | + | 1.40284i | ||||
\(913\) | 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 | ||||||||
\(918\) | 1.11692e28 | + | 1.42003e28i | 0.796188 | + | 1.01226i | ||||
\(919\) | 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 | ||||||||
\(924\) | −4.66705e27 | − | 1.41128e28i | −0.312723 | − | 0.945650i | ||||
\(925\) | −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 | \(0.196233\pi\) | ||||
−0.815917 | + | 0.578169i | \(0.803767\pi\) | |||||||
\(930\) | −1.61134e28 | − | 2.48534e28i | −1.01531 | − | 1.56602i | ||||
\(931\) | 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 | ||||||||
\(936\) | 3.14354e27 | + | 2.52244e27i | 0.186336 | + | 0.149520i | ||||
\(937\) | −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 | \(-0.880628\pi\) | ||
0.930501 | − | 0.366290i | \(-0.119372\pi\) | |||||||
\(942\) | −1.06818e28 | − | 1.64757e28i | −0.595884 | − | 0.919095i | ||||
\(943\) | 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 | \(-0.578361\pi\) | ||||
−0.243699 | + | 0.969851i | \(0.578361\pi\) | |||||||
\(948\) | −2.29836e27 | − | 6.95007e27i | −0.120709 | − | 0.365014i | ||||
\(949\) | 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 | \(-0.740096\pi\) | ||
0.684768 | − | 0.728761i | \(-0.259904\pi\) | |||||||
\(954\) | 3.45353e27 | − | 2.07974e28i | 0.170826 | − | 1.02873i | ||||
\(955\) | − | 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 | ||||||||
\(960\) | −2.17790e28 | + | 2.56507e28i | −1.01499 | + | 1.19542i | ||||
\(961\) | −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 | ||||||
\(966\) | 4.81237e27 | − | 3.12004e27i | 0.211386 | − | 0.137050i | ||||
\(967\) | 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 | \(-0.386507\pi\) | ||||
0.349041 | + | 0.937107i | \(0.386507\pi\) | |||||||
\(972\) | 2.11670e28 | − | 1.16166e28i | 0.876657 | − | 0.481117i | ||||
\(973\) | 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 | \(0.113233\pi\) | ||||
−0.937392 | + | 0.348277i | \(0.886767\pi\) | |||||||
\(978\) | 9.77953e27 | − | 6.34044e27i | 0.382031 | − | 0.247685i | ||||
\(979\) | 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 | \(-0.624226\pi\) | ||||
−0.380436 | + | 0.924807i | \(0.624226\pi\) | |||||||
\(984\) | 6.46408e27 | − | 4.11309e26i | 0.238261 | − | 0.0151605i | ||||
\(985\) | 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 | ||||||
\(990\) | −9.68918e27 | + | 5.83490e28i | −0.337095 | + | 2.03001i | ||||
\(991\) | − | 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 | ||||||||
\(996\) | 2.90224e28 | − | 9.59757e27i | 0.953386 | − | 0.315281i | ||||
\(997\) | −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.11.16 | yes | 36 | |
3.2 | odd | 2 | inner | 12.20.b.a.11.21 | yes | 36 | |
4.3 | odd | 2 | inner | 12.20.b.a.11.22 | yes | 36 | |
12.11 | even | 2 | inner | 12.20.b.a.11.15 | ✓ | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.20.b.a.11.15 | ✓ | 36 | 12.11 | even | 2 | inner | |
12.20.b.a.11.16 | yes | 36 | 1.1 | even | 1 | trivial | |
12.20.b.a.11.21 | yes | 36 | 3.2 | odd | 2 | inner | |
12.20.b.a.11.22 | yes | 36 | 4.3 | odd | 2 | inner |