Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,33,Mod(2,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 33, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.2");
S:= CuspForms(chi, 33);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 33 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.h (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(136.219975799\) |
Analytic rank: | \(0\) |
Dimension: | \(164\) |
Relative dimension: | \(82\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.15 | ||
Character | \(\chi\) | \(=\) | 21.11 |
Dual form | 21.33.h.b.2.15 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −80445.4 | + | 46445.2i | −1.22750 | + | 0.708697i | −0.966506 | − | 0.256643i | \(-0.917383\pi\) |
−0.260993 | + | 0.965341i | \(0.584050\pi\) | |||||||
\(3\) | 4.22184e7 | − | 8.40380e6i | 0.980758 | − | 0.195225i | ||||
\(4\) | 2.16683e9 | − | 3.75305e9i | 0.504503 | − | 0.873826i | ||||
\(5\) | 1.68281e11 | − | 9.71571e10i | 1.10285 | − | 0.636729i | 0.165879 | − | 0.986146i | \(-0.446954\pi\) |
0.936967 | + | 0.349418i | \(0.113621\pi\) | |||||||
\(6\) | −3.00596e12 | + | 2.63689e12i | −1.06553 | + | 0.934700i | ||||
\(7\) | −2.65601e13 | + | 1.99748e13i | −0.799209 | + | 0.601053i | ||||
\(8\) | 3.59344e12i | 0.0127665i | ||||||||
\(9\) | 1.71177e15 | − | 7.09591e14i | 0.923774 | − | 0.382937i | ||||
\(10\) | −9.02495e15 | + | 1.56317e16i | −0.902495 | + | 1.56317i | ||||
\(11\) | −5.49722e16 | − | 3.17382e16i | −1.19636 | − | 0.690716i | −0.236615 | − | 0.971604i | \(-0.576038\pi\) |
−0.959741 | + | 0.280887i | \(0.909371\pi\) | |||||||
\(12\) | 5.99401e16 | − | 1.76658e17i | 0.324203 | − | 0.955504i | ||||
\(13\) | −4.92731e17 | −0.740485 | −0.370243 | − | 0.928935i | \(-0.620725\pi\) | ||||
−0.370243 | + | 0.928935i | \(0.620725\pi\) | |||||||
\(14\) | 1.20890e18 | − | 2.84046e18i | 0.555064 | − | 1.30419i | ||||
\(15\) | 6.28807e18 | − | 5.51602e18i | 0.957320 | − | 0.839780i | ||||
\(16\) | 9.13955e18 | + | 1.58302e19i | 0.495456 | + | 0.858155i | ||||
\(17\) | 6.46679e19 | + | 3.73360e19i | 1.32894 | + | 0.767265i | 0.985136 | − | 0.171776i | \(-0.0549504\pi\) |
0.343806 | + | 0.939041i | \(0.388284\pi\) | |||||||
\(18\) | −1.04747e20 | + | 1.36587e20i | −0.862546 | + | 1.12473i | ||||
\(19\) | −3.80322e19 | − | 6.58737e19i | −0.131854 | − | 0.228378i | 0.792537 | − | 0.609824i | \(-0.208760\pi\) |
−0.924391 | + | 0.381445i | \(0.875426\pi\) | |||||||
\(20\) | − | 8.42090e20i | − | 1.28493i | ||||||
\(21\) | −9.53460e20 | + | 1.06651e21i | −0.666490 | + | 0.745514i | ||||
\(22\) | 5.89635e21 | 1.95803 | ||||||||
\(23\) | −1.17642e21 | + | 6.79204e20i | −0.191830 | + | 0.110753i | −0.592839 | − | 0.805321i | \(-0.701993\pi\) |
0.401009 | + | 0.916074i | \(0.368660\pi\) | |||||||
\(24\) | 3.01985e19 | + | 1.51709e20i | 0.00249233 | + | 0.0125208i | ||||
\(25\) | 7.23746e21 | − | 1.25356e22i | 0.310846 | − | 0.538402i | ||||
\(26\) | 3.96380e22 | − | 2.28850e22i | 0.908946 | − | 0.524780i | ||||
\(27\) | 6.63051e22 | − | 4.43432e22i | 0.831240 | − | 0.555913i | ||||
\(28\) | 1.74153e22 | + | 1.42963e23i | 0.122012 | + | 1.00160i | ||||
\(29\) | − | 1.16492e23i | − | 0.465508i | −0.972536 | − | 0.232754i | \(-0.925226\pi\) | ||
0.972536 | − | 0.232754i | \(-0.0747737\pi\) | |||||||
\(30\) | −2.49654e23 | + | 7.35789e23i | −0.579960 | + | 1.70928i | ||||
\(31\) | −8.42920e22 | + | 1.45998e23i | −0.115878 | + | 0.200706i | −0.918130 | − | 0.396279i | \(-0.870301\pi\) |
0.802253 | + | 0.596985i | \(0.203635\pi\) | |||||||
\(32\) | −1.48384e24 | − | 8.56693e23i | −1.22740 | − | 0.708640i | ||||
\(33\) | −2.58756e24 | − | 8.77963e23i | −1.30818 | − | 0.443867i | ||||
\(34\) | −6.93631e24 | −2.17503 | ||||||||
\(35\) | −2.52886e24 | + | 5.94187e24i | −0.498697 | + | 1.17175i | ||||
\(36\) | 1.04598e24 | − | 7.96193e24i | 0.131427 | − | 1.00041i | ||||
\(37\) | −2.55862e24 | − | 4.43166e24i | −0.207386 | − | 0.359202i | 0.743505 | − | 0.668731i | \(-0.233162\pi\) |
−0.950890 | + | 0.309528i | \(0.899829\pi\) | |||||||
\(38\) | 6.11903e24 | + | 3.53283e24i | 0.323702 | + | 0.186889i | ||||
\(39\) | −2.08023e25 | + | 4.14082e24i | −0.726237 | + | 0.144561i | ||||
\(40\) | 3.49128e23 | + | 6.04707e23i | 0.00812877 | + | 0.0140794i | ||||
\(41\) | 8.98422e25i | 1.40909i | 0.709659 | + | 0.704545i | \(0.248849\pi\) | ||||
−0.709659 | + | 0.704545i | \(0.751151\pi\) | |||||||
\(42\) | 2.71673e25 | − | 1.30079e26i | 0.289773 | − | 1.38746i | ||||
\(43\) | −1.62344e26 | −1.18834 | −0.594170 | − | 0.804339i | \(-0.702519\pi\) | ||||
−0.594170 | + | 0.804339i | \(0.702519\pi\) | |||||||
\(44\) | −2.38230e26 | + | 1.37542e26i | −1.20713 | + | 0.696937i | ||||
\(45\) | 2.19117e26 | − | 2.85721e26i | 0.774954 | − | 1.01051i | ||||
\(46\) | 6.30915e25 | − | 1.09278e26i | 0.156980 | − | 0.271898i | ||||
\(47\) | −2.28099e26 | + | 1.31693e26i | −0.402307 | + | 0.232272i | −0.687479 | − | 0.726204i | \(-0.741283\pi\) |
0.285172 | + | 0.958476i | \(0.407949\pi\) | |||||||
\(48\) | 5.18891e26 | + | 5.91518e26i | 0.653456 | + | 0.744917i | ||||
\(49\) | 3.06446e26 | − | 1.06106e27i | 0.277470 | − | 0.960734i | ||||
\(50\) | 1.34458e27i | 0.881184i | ||||||||
\(51\) | 3.04394e27 | + | 1.03281e27i | 1.45316 | + | 0.493059i | ||||
\(52\) | −1.06766e27 | + | 1.84925e27i | −0.373577 | + | 0.647055i | ||||
\(53\) | −5.85411e27 | − | 3.37987e27i | −1.51024 | − | 0.871939i | −0.999929 | − | 0.0119513i | \(-0.996196\pi\) |
−0.510314 | − | 0.859988i | \(-0.670471\pi\) | |||||||
\(54\) | −3.27441e27 | + | 6.64676e27i | −0.626373 | + | 1.27148i | ||||
\(55\) | −1.23344e28 | −1.75919 | ||||||||
\(56\) | −7.17780e25 | − | 9.54419e25i | −0.00767332 | − | 0.0102031i | ||||
\(57\) | −2.15925e27 | − | 2.46147e27i | −0.173902 | − | 0.198243i | ||||
\(58\) | 5.41048e27 | + | 9.37123e27i | 0.329904 | + | 0.571411i | ||||
\(59\) | 2.84652e28 | + | 1.64344e28i | 1.32033 | + | 0.762293i | 0.983781 | − | 0.179374i | \(-0.0574071\pi\) |
0.336548 | + | 0.941666i | \(0.390740\pi\) | |||||||
\(60\) | −7.07675e27 | − | 3.55517e28i | −0.250850 | − | 1.26020i | ||||
\(61\) | 7.98498e27 | + | 1.38304e28i | 0.217268 | + | 0.376320i | 0.953972 | − | 0.299896i | \(-0.0969520\pi\) |
−0.736703 | + | 0.676216i | \(0.763619\pi\) | |||||||
\(62\) | − | 1.56598e28i | − | 0.328488i | ||||||
\(63\) | −3.12909e28 | + | 5.30390e28i | −0.508123 | + | 0.861284i | ||||
\(64\) | 8.06489e28 | 1.01793 | ||||||||
\(65\) | −8.29173e28 | + | 4.78723e28i | −0.816641 | + | 0.471488i | ||||
\(66\) | 2.48935e29 | − | 4.95517e28i | 1.92036 | − | 0.382257i | ||||
\(67\) | 5.72198e28 | − | 9.91075e28i | 0.347016 | − | 0.601049i | −0.638702 | − | 0.769454i | \(-0.720528\pi\) |
0.985718 | + | 0.168405i | \(0.0538617\pi\) | |||||||
\(68\) | 2.80248e29 | − | 1.61801e29i | 1.34091 | − | 0.774176i | ||||
\(69\) | −4.39585e28 | + | 3.85613e28i | −0.166517 | + | 0.146072i | ||||
\(70\) | −7.25356e28 | − | 5.95450e29i | −0.218264 | − | 1.79175i | ||||
\(71\) | 2.91038e29i | 0.697938i | 0.937134 | + | 0.348969i | \(0.113468\pi\) | ||||
−0.937134 | + | 0.348969i | \(0.886532\pi\) | |||||||
\(72\) | 2.54987e27 | + | 6.15115e27i | 0.00488875 | + | 0.0117933i | ||||
\(73\) | 2.73400e28 | − | 4.73542e28i | 0.0420370 | − | 0.0728103i | −0.844241 | − | 0.535963i | \(-0.819949\pi\) |
0.886278 | + | 0.463153i | \(0.153282\pi\) | |||||||
\(74\) | 4.11659e29 | + | 2.37671e29i | 0.509132 | + | 0.293947i | ||||
\(75\) | 2.00207e29 | − | 5.90058e29i | 0.199756 | − | 0.588727i | ||||
\(76\) | −3.29637e29 | −0.266084 | ||||||||
\(77\) | 2.09403e30 | − | 2.55087e29i | 1.37130 | − | 0.167046i | ||||
\(78\) | 1.48113e30 | − | 1.29928e30i | 0.789006 | − | 0.692131i | ||||
\(79\) | 7.63177e29 | + | 1.32186e30i | 0.331583 | + | 0.574318i | 0.982822 | − | 0.184554i | \(-0.0590841\pi\) |
−0.651240 | + | 0.758872i | \(0.725751\pi\) | |||||||
\(80\) | 3.07602e30 | + | 1.77594e30i | 1.09282 | + | 0.630942i | ||||
\(81\) | 2.42665e30 | − | 2.42932e30i | 0.706718 | − | 0.707495i | ||||
\(82\) | −4.17274e30 | − | 7.22739e30i | −0.998618 | − | 1.72966i | ||||
\(83\) | 3.86383e30i | 0.761674i | 0.924642 | + | 0.380837i | \(0.124364\pi\) | ||||
−0.924642 | + | 0.380837i | \(0.875636\pi\) | |||||||
\(84\) | 1.93668e30 | + | 5.88933e30i | 0.315202 | + | 0.958511i | ||||
\(85\) | 1.45098e31 | 1.95416 | ||||||||
\(86\) | 1.30598e31 | − | 7.54009e30i | 1.45869 | − | 0.842173i | ||||
\(87\) | −9.78973e29 | − | 4.91810e30i | −0.0908788 | − | 0.456551i | ||||
\(88\) | 1.14049e29 | − | 1.97539e29i | 0.00881800 | − | 0.0152732i | ||||
\(89\) | 1.18276e31 | − | 6.82869e30i | 0.763235 | − | 0.440654i | −0.0672213 | − | 0.997738i | \(-0.521413\pi\) |
0.830456 | + | 0.557084i | \(0.188080\pi\) | |||||||
\(90\) | −4.35658e30 | + | 3.31619e31i | −0.235107 | + | 1.78961i | ||||
\(91\) | 1.30870e31 | − | 9.84219e30i | 0.591803 | − | 0.445071i | ||||
\(92\) | 5.88687e30i | 0.223501i | ||||||||
\(93\) | −2.33174e30 | + | 6.87218e30i | −0.0744651 | + | 0.219466i | ||||
\(94\) | 1.22330e31 | − | 2.11882e31i | 0.329221 | − | 0.570227i | ||||
\(95\) | −1.28002e31 | − | 7.39020e30i | −0.290830 | − | 0.167911i | ||||
\(96\) | −6.98447e31 | − | 2.36984e31i | −1.34213 | − | 0.455385i | ||||
\(97\) | −1.11585e31 | −0.181659 | −0.0908293 | − | 0.995866i | \(-0.528952\pi\) | ||||
−0.0908293 | + | 0.995866i | \(0.528952\pi\) | |||||||
\(98\) | 2.46290e31 | + | 9.95905e31i | 0.340275 | + | 1.37594i | ||||
\(99\) | −1.16621e32 | − | 1.53208e31i | −1.36966 | − | 0.179937i | ||||
\(100\) | −3.13646e31 | − | 5.43251e31i | −0.313646 | − | 0.543251i | ||||
\(101\) | −1.75492e32 | − | 1.01321e32i | −1.49664 | − | 0.864083i | −0.496643 | − | 0.867955i | \(-0.665434\pi\) |
−0.999993 | + | 0.00387209i | \(0.998767\pi\) | |||||||
\(102\) | −2.92840e32 | + | 5.82914e31i | −2.13318 | + | 0.424621i | ||||
\(103\) | 8.66619e31 | + | 1.50103e32i | 0.540048 | + | 0.935391i | 0.998901 | + | 0.0468787i | \(0.0149274\pi\) |
−0.458852 | + | 0.888513i | \(0.651739\pi\) | |||||||
\(104\) | − | 1.77060e30i | − | 0.00945337i | ||||||
\(105\) | −5.68304e31 | + | 2.72108e32i | −0.260347 | + | 1.24656i | ||||
\(106\) | 6.27915e32 | 2.47176 | ||||||||
\(107\) | 2.25565e32 | − | 1.30230e32i | 0.764065 | − | 0.441133i | −0.0666882 | − | 0.997774i | \(-0.521243\pi\) |
0.830753 | + | 0.556641i | \(0.187910\pi\) | |||||||
\(108\) | −2.27508e31 | − | 3.44931e32i | −0.0664073 | − | 1.00682i | ||||
\(109\) | −3.47786e32 | + | 6.02383e32i | −0.875967 | + | 1.51722i | −0.0202383 | + | 0.999795i | \(0.506442\pi\) |
−0.855729 | + | 0.517424i | \(0.826891\pi\) | |||||||
\(110\) | 9.92243e32 | − | 5.72872e32i | 2.15941 | − | 1.24674i | ||||
\(111\) | −1.45264e32 | − | 1.65596e32i | −0.273521 | − | 0.311804i | ||||
\(112\) | −5.58951e32 | − | 2.37890e32i | −0.911770 | − | 0.388050i | ||||
\(113\) | 4.13968e32i | 0.585749i | 0.956151 | + | 0.292875i | \(0.0946119\pi\) | ||||
−0.956151 | + | 0.292875i | \(0.905388\pi\) | |||||||
\(114\) | 2.88025e32 | + | 9.77272e31i | 0.353959 | + | 0.120099i | ||||
\(115\) | −1.31979e32 | + | 2.28594e32i | −0.141039 | + | 0.244287i | ||||
\(116\) | −4.37200e32 | − | 2.52417e32i | −0.406773 | − | 0.234850i | ||||
\(117\) | −8.43444e32 | + | 3.49638e32i | −0.684041 | + | 0.283560i | ||||
\(118\) | −3.05319e33 | −2.16094 | ||||||||
\(119\) | −2.46336e33 | + | 3.00078e32i | −1.52327 | + | 0.185559i | ||||
\(120\) | 1.98215e31 | + | 2.25958e31i | 0.0107210 | + | 0.0122216i | ||||
\(121\) | 9.58941e32 | + | 1.66093e33i | 0.454178 | + | 0.786659i | ||||
\(122\) | −1.28471e33 | − | 7.41728e32i | −0.533394 | − | 0.307955i | ||||
\(123\) | 7.55016e32 | + | 3.79300e33i | 0.275090 | + | 1.38198i | ||||
\(124\) | 3.65292e32 | + | 6.32705e32i | 0.116921 | + | 0.202514i | ||||
\(125\) | 1.71155e33i | 0.481758i | ||||||||
\(126\) | 5.38019e31 | − | 5.72006e33i | 0.0133312 | − | 1.41733i | ||||
\(127\) | 3.76166e33 | 0.821335 | 0.410667 | − | 0.911785i | \(-0.365296\pi\) | ||||
0.410667 | + | 0.911785i | \(0.365296\pi\) | |||||||
\(128\) | −1.14808e32 | + | 6.62845e31i | −0.0221113 | + | 0.0127659i | ||||
\(129\) | −6.85391e33 | + | 1.36431e33i | −1.16547 | + | 0.231994i | ||||
\(130\) | 4.44688e33 | − | 7.70222e33i | 0.668285 | − | 1.15750i | ||||
\(131\) | −1.29541e34 | + | 7.47908e33i | −1.72214 | + | 0.994277i | −0.807650 | + | 0.589662i | \(0.799261\pi\) |
−0.914487 | + | 0.404615i | \(0.867406\pi\) | |||||||
\(132\) | −8.90184e33 | + | 7.80887e33i | −1.04784 | + | 0.919190i | ||||
\(133\) | 2.32595e33 | + | 9.89926e32i | 0.242646 | + | 0.103271i | ||||
\(134\) | 1.06303e34i | 0.983716i | ||||||||
\(135\) | 6.84963e33 | − | 1.39041e34i | 0.562765 | − | 1.14236i | ||||
\(136\) | −1.34165e32 | + | 2.32380e32i | −0.00979526 | + | 0.0169659i | ||||
\(137\) | 1.47515e34 | + | 8.51677e33i | 0.957869 | + | 0.553026i | 0.895517 | − | 0.445028i | \(-0.146806\pi\) |
0.0623528 | + | 0.998054i | \(0.480140\pi\) | |||||||
\(138\) | 1.74528e33 | − | 5.14374e33i | 0.100879 | − | 0.297313i | ||||
\(139\) | 1.70230e34 | 0.876594 | 0.438297 | − | 0.898830i | \(-0.355582\pi\) | ||||
0.438297 | + | 0.898830i | \(0.355582\pi\) | |||||||
\(140\) | 1.68205e34 | + | 2.23660e34i | 0.772309 | + | 1.02693i | ||||
\(141\) | −8.52325e33 | + | 7.47676e33i | −0.349220 | + | 0.306343i | ||||
\(142\) | −1.35173e34 | − | 2.34127e34i | −0.494626 | − | 0.856718i | ||||
\(143\) | 2.70865e34 | + | 1.56384e34i | 0.885884 | + | 0.511465i | ||||
\(144\) | 2.68778e34 | + | 2.06123e34i | 0.786309 | + | 0.603013i | ||||
\(145\) | −1.13180e34 | − | 1.96033e34i | −0.296402 | − | 0.513384i | ||||
\(146\) | 5.07924e33i | 0.119166i | ||||||||
\(147\) | 4.02073e33 | − | 4.73717e34i | 0.0845721 | − | 0.996417i | ||||
\(148\) | −2.21764e34 | −0.418507 | ||||||||
\(149\) | −5.13727e34 | + | 2.96600e34i | −0.870466 | + | 0.502564i | −0.867503 | − | 0.497432i | \(-0.834277\pi\) |
−0.00296304 | + | 0.999996i | \(0.500943\pi\) | |||||||
\(150\) | 1.12996e34 | + | 5.67661e34i | 0.172029 | + | 0.864229i | ||||
\(151\) | 5.40531e34 | − | 9.36227e34i | 0.739928 | − | 1.28159i | −0.212600 | − | 0.977139i | \(-0.568193\pi\) |
0.952527 | − | 0.304453i | \(-0.0984737\pi\) | |||||||
\(152\) | 2.36713e32 | − | 1.36666e32i | 0.00291558 | − | 0.00168331i | ||||
\(153\) | 1.37190e35 | + | 1.80231e34i | 1.52146 | + | 0.199878i | ||||
\(154\) | −1.56607e35 | + | 1.17778e35i | −1.56488 | + | 1.17688i | ||||
\(155\) | 3.27583e34i | 0.295130i | ||||||||
\(156\) | −2.95344e34 | + | 8.70447e34i | −0.240068 | + | 0.707537i | ||||
\(157\) | −1.25412e35 | + | 2.17220e35i | −0.920333 | + | 1.59406i | −0.121432 | + | 0.992600i | \(0.538749\pi\) |
−0.798901 | + | 0.601463i | \(0.794585\pi\) | |||||||
\(158\) | −1.22788e35 | − | 7.08918e34i | −0.814035 | − | 0.469983i | ||||
\(159\) | −2.75555e35 | − | 9.34961e34i | −1.65141 | − | 0.560324i | ||||
\(160\) | −3.32935e35 | −1.80484 | ||||||||
\(161\) | 1.76787e34 | − | 4.15383e34i | 0.0867436 | − | 0.203814i | ||||
\(162\) | −8.23826e34 | + | 3.08133e35i | −0.366096 | + | 1.36930i | ||||
\(163\) | −8.81201e34 | − | 1.52629e35i | −0.354873 | − | 0.614659i | 0.632223 | − | 0.774787i | \(-0.282143\pi\) |
−0.987096 | + | 0.160128i | \(0.948809\pi\) | |||||||
\(164\) | 3.37183e35 | + | 1.94672e35i | 1.23130 | + | 0.710891i | ||||
\(165\) | −5.20738e35 | + | 1.03656e35i | −1.72535 | + | 0.343439i | ||||
\(166\) | −1.79456e35 | − | 3.10828e35i | −0.539796 | − | 0.934954i | ||||
\(167\) | 4.89374e35i | 1.33714i | 0.743649 | + | 0.668570i | \(0.233093\pi\) | ||||
−0.743649 | + | 0.668570i | \(0.766907\pi\) | |||||||
\(168\) | −3.83243e33 | − | 3.42620e33i | −0.00951757 | − | 0.00850872i | ||||
\(169\) | −1.99995e35 | −0.451681 | ||||||||
\(170\) | −1.16725e36 | + | 6.73912e35i | −2.39873 | + | 1.38491i | ||||
\(171\) | −1.11846e35 | − | 8.57735e34i | −0.209258 | − | 0.160478i | ||||
\(172\) | −3.51771e35 | + | 6.09285e35i | −0.599522 | + | 1.03840i | ||||
\(173\) | 1.56327e35 | − | 9.02555e34i | 0.242827 | − | 0.140196i | −0.373648 | − | 0.927570i | \(-0.621893\pi\) |
0.616475 | + | 0.787374i | \(0.288560\pi\) | |||||||
\(174\) | 3.07176e35 | + | 3.50170e35i | 0.435110 | + | 0.496010i | ||||
\(175\) | 5.81691e34 | + | 4.77514e35i | 0.0751767 | + | 0.617131i | ||||
\(176\) | − | 1.16029e36i | − | 1.36888i | ||||||
\(177\) | 1.33987e36 | + | 4.54619e35i | 1.44374 | + | 0.489863i | ||||
\(178\) | −6.34320e35 | + | 1.09867e36i | −0.624580 | + | 1.08180i | ||||
\(179\) | 1.18552e36 | + | 6.84458e35i | 1.06723 | + | 0.616167i | 0.927424 | − | 0.374012i | \(-0.122018\pi\) |
0.139808 | + | 0.990179i | \(0.455351\pi\) | |||||||
\(180\) | −5.97539e35 | − | 1.44147e36i | −0.492047 | − | 1.18698i | ||||
\(181\) | −2.94723e35 | −0.222104 | −0.111052 | − | 0.993815i | \(-0.535422\pi\) | ||||
−0.111052 | + | 0.993815i | \(0.535422\pi\) | |||||||
\(182\) | −5.95665e35 | + | 1.39959e36i | −0.411017 | + | 0.965733i | ||||
\(183\) | 4.53341e35 | + | 5.16794e35i | 0.286555 | + | 0.326663i | ||||
\(184\) | −2.44068e33 | − | 4.22738e33i | −0.00141392 | − | 0.00244898i | ||||
\(185\) | −8.61135e35 | − | 4.97177e35i | −0.457429 | − | 0.264097i | ||||
\(186\) | −1.31602e35 | − | 6.61133e35i | −0.0641292 | − | 0.322168i | ||||
\(187\) | −2.36996e36 | − | 4.10489e36i | −1.05992 | − | 1.83584i | ||||
\(188\) | 1.14142e36i | 0.468728i | ||||||||
\(189\) | −8.75323e35 | + | 2.50219e36i | −0.330202 | + | 0.943910i | ||||
\(190\) | 1.37296e36 | 0.475991 | ||||||||
\(191\) | −1.55763e34 | + | 8.99300e33i | −0.00496514 | + | 0.00286662i | −0.502481 | − | 0.864589i | \(-0.667579\pi\) |
0.497515 | + | 0.867455i | \(0.334246\pi\) | |||||||
\(192\) | 3.40487e36 | − | 6.77757e35i | 0.998346 | − | 0.198726i | ||||
\(193\) | 2.14583e36 | − | 3.71669e36i | 0.579001 | − | 1.00286i | −0.416593 | − | 0.909093i | \(-0.636776\pi\) |
0.995594 | − | 0.0937661i | \(-0.0298906\pi\) | |||||||
\(194\) | 8.97646e35 | − | 5.18256e35i | 0.222986 | − | 0.128741i | ||||
\(195\) | −3.09833e36 | + | 2.71792e36i | −0.708882 | + | 0.621845i | ||||
\(196\) | −3.31820e36 | − | 3.44924e36i | −0.699529 | − | 0.727155i | ||||
\(197\) | 6.71507e36i | 1.30494i | 0.757814 | + | 0.652471i | \(0.226267\pi\) | ||||
−0.757814 | + | 0.652471i | \(0.773733\pi\) | |||||||
\(198\) | 1.00932e37 | − | 4.18399e36i | 1.80878 | − | 0.749805i | ||||
\(199\) | 6.00487e35 | − | 1.04007e36i | 0.0992782 | − | 0.171955i | −0.812108 | − | 0.583507i | \(-0.801680\pi\) |
0.911386 | + | 0.411552i | \(0.135013\pi\) | |||||||
\(200\) | 4.50461e34 | + | 2.60074e34i | 0.00687348 | + | 0.00396841i | ||||
\(201\) | 1.58285e36 | − | 4.66503e36i | 0.222999 | − | 0.657230i | ||||
\(202\) | 1.88234e37 | 2.44949 | ||||||||
\(203\) | 2.32689e36 | + | 3.09403e36i | 0.279795 | + | 0.372038i | ||||
\(204\) | 1.04719e37 | − | 9.18615e36i | 1.16397 | − | 1.02106i | ||||
\(205\) | 8.72881e36 | + | 1.51187e37i | 0.897208 | + | 1.55401i | ||||
\(206\) | −1.39431e37 | − | 8.05006e36i | −1.32582 | − | 0.765462i | ||||
\(207\) | −1.53180e36 | + | 1.99742e36i | −0.134796 | + | 0.175769i | ||||
\(208\) | −4.50334e36 | − | 7.80002e36i | −0.366878 | − | 0.635451i | ||||
\(209\) | 4.82830e36i | 0.364295i | ||||||||
\(210\) | −8.06638e36 | − | 2.45294e37i | −0.563858 | − | 1.71466i | ||||
\(211\) | 1.69913e37 | 1.10080 | 0.550400 | − | 0.834901i | \(-0.314475\pi\) | ||||
0.550400 | + | 0.834901i | \(0.314475\pi\) | |||||||
\(212\) | −2.53697e37 | + | 1.46472e37i | −1.52385 | + | 0.879793i | ||||
\(213\) | 2.44583e36 | + | 1.22872e37i | 0.136255 | + | 0.684508i | ||||
\(214\) | −1.20971e37 | + | 2.09528e37i | −0.625260 | + | 1.08298i | ||||
\(215\) | −2.73194e37 | + | 1.57729e37i | −1.31056 | + | 0.756650i | ||||
\(216\) | 1.59345e35 | + | 2.38263e35i | 0.00709704 | + | 0.0106120i | ||||
\(217\) | −6.77474e35 | − | 5.56143e36i | −0.0280244 | − | 0.230054i | ||||
\(218\) | − | 6.46119e37i | − | 2.48318i | ||||||
\(219\) | 7.56295e35 | − | 2.22898e36i | 0.0270138 | − | 0.0796160i | ||||
\(220\) | −2.67264e37 | + | 4.62915e37i | −0.887520 | + | 1.53723i | ||||
\(221\) | −3.18639e37 | − | 1.83966e37i | −0.984062 | − | 0.568149i | ||||
\(222\) | 1.93769e37 | + | 6.57461e36i | 0.556721 | + | 0.188896i | ||||
\(223\) | 5.24295e37 | 1.40184 | 0.700920 | − | 0.713240i | \(-0.252773\pi\) | ||||
0.700920 | + | 0.713240i | \(0.252773\pi\) | |||||||
\(224\) | 5.65230e37 | − | 6.88543e36i | 1.40688 | − | 0.171381i | ||||
\(225\) | 3.49371e36 | − | 2.65938e37i | 0.0809778 | − | 0.616397i | ||||
\(226\) | −1.92268e37 | − | 3.33018e37i | −0.415119 | − | 0.719007i | ||||
\(227\) | −4.68582e37 | − | 2.70536e37i | −0.942697 | − | 0.544267i | −0.0518924 | − | 0.998653i | \(-0.516525\pi\) |
−0.890805 | + | 0.454386i | \(0.849859\pi\) | |||||||
\(228\) | −1.39167e37 | + | 2.77020e36i | −0.260964 | + | 0.0519462i | ||||
\(229\) | −1.60669e37 | − | 2.78286e37i | −0.280908 | − | 0.486546i | 0.690701 | − | 0.723141i | \(-0.257302\pi\) |
−0.971609 | + | 0.236594i | \(0.923969\pi\) | |||||||
\(230\) | − | 2.45191e37i | − | 0.399816i | ||||||
\(231\) | 8.62629e37 | − | 2.83672e37i | 1.31230 | − | 0.431543i | ||||
\(232\) | 4.18606e35 | 0.00594289 | ||||||||
\(233\) | −5.08366e37 | + | 2.93505e37i | −0.673724 | + | 0.388974i | −0.797486 | − | 0.603337i | \(-0.793837\pi\) |
0.123763 | + | 0.992312i | \(0.460504\pi\) | |||||||
\(234\) | 5.16122e37 | − | 6.73006e37i | 0.638703 | − | 0.832847i | ||||
\(235\) | −2.55898e37 | + | 4.43228e37i | −0.295788 | + | 0.512320i | ||||
\(236\) | 1.23358e38 | − | 7.12210e37i | 1.33222 | − | 0.769159i | ||||
\(237\) | 4.33288e37 | + | 4.93933e37i | 0.437324 | + | 0.498534i | ||||
\(238\) | 1.84229e38 | − | 1.38551e38i | 1.73831 | − | 1.30731i | ||||
\(239\) | 1.98942e38i | 1.75534i | 0.479269 | + | 0.877668i | \(0.340902\pi\) | ||||
−0.479269 | + | 0.877668i | \(0.659098\pi\) | |||||||
\(240\) | 1.44790e38 | + | 4.91273e37i | 1.19497 | + | 0.405455i | ||||
\(241\) | −6.98064e37 | + | 1.20908e38i | −0.539042 | + | 0.933648i | 0.459914 | + | 0.887963i | \(0.347880\pi\) |
−0.998956 | + | 0.0456843i | \(0.985453\pi\) | |||||||
\(242\) | −1.54285e38 | − | 8.90763e37i | −1.11501 | − | 0.643749i | ||||
\(243\) | 8.20337e37 | − | 1.22955e38i | 0.554999 | − | 0.831851i | ||||
\(244\) | 6.92083e37 | 0.438451 | ||||||||
\(245\) | −5.15206e37 | − | 2.08330e38i | −0.305720 | − | 1.23622i | ||||
\(246\) | −2.36904e38 | − | 2.70062e38i | −1.31708 | − | 1.50142i | ||||
\(247\) | 1.87397e37 | + | 3.24580e37i | 0.0976361 | + | 0.169111i | ||||
\(248\) | −5.24635e35 | − | 3.02898e35i | −0.00256230 | − | 0.00147935i | ||||
\(249\) | 3.24709e37 | + | 1.63125e38i | 0.148698 | + | 0.747018i | ||||
\(250\) | −7.94931e37 | − | 1.37686e38i | −0.341420 | − | 0.591357i | ||||
\(251\) | 3.66503e38i | 1.47672i | 0.674408 | + | 0.738359i | \(0.264399\pi\) | ||||
−0.674408 | + | 0.738359i | \(0.735601\pi\) | |||||||
\(252\) | 1.31256e38 | + | 2.32363e38i | 0.496262 | + | 0.878532i | ||||
\(253\) | 8.62269e37 | 0.305995 | ||||||||
\(254\) | −3.02608e38 | + | 1.74711e38i | −1.00819 | + | 0.582078i | ||||
\(255\) | 6.12583e38 | − | 1.21938e38i | 1.91656 | − | 0.381501i | ||||
\(256\) | −1.67035e38 | + | 2.89313e38i | −0.490872 | + | 0.850215i | ||||
\(257\) | −4.78615e38 | + | 2.76329e38i | −1.32147 | + | 0.762950i | −0.983963 | − | 0.178374i | \(-0.942916\pi\) |
−0.337505 | + | 0.941324i | \(0.609583\pi\) | |||||||
\(258\) | 4.88000e38 | − | 4.28083e38i | 1.26621 | − | 1.11074i | ||||
\(259\) | 1.56479e38 | + | 6.65974e37i | 0.381644 | + | 0.162428i | ||||
\(260\) | 4.14924e38i | 0.951470i | ||||||||
\(261\) | −8.26614e37 | − | 1.99407e38i | −0.178260 | − | 0.430024i | ||||
\(262\) | 6.94734e38 | − | 1.20331e39i | 1.40928 | − | 2.44095i | ||||
\(263\) | 6.16478e38 | + | 3.55924e38i | 1.17659 | + | 0.679306i | 0.955224 | − | 0.295885i | \(-0.0956145\pi\) |
0.221368 | + | 0.975190i | \(0.428948\pi\) | |||||||
\(264\) | 3.15490e36 | − | 9.29825e36i | 0.00566661 | − | 0.0167008i | ||||
\(265\) | −1.31351e39 | −2.22075 | ||||||||
\(266\) | −2.33089e38 | + | 2.83941e37i | −0.371036 | + | 0.0451983i | ||||
\(267\) | 4.41958e38 | − | 3.87694e38i | 0.662522 | − | 0.581177i | ||||
\(268\) | −2.47971e38 | − | 4.29498e38i | −0.350141 | − | 0.606463i | ||||
\(269\) | −1.01112e39 | − | 5.83770e38i | −1.34513 | − | 0.776614i | −0.357579 | − | 0.933883i | \(-0.616398\pi\) |
−0.987556 | + | 0.157269i | \(0.949731\pi\) | |||||||
\(270\) | 9.47582e37 | + | 1.43666e39i | 0.118795 | + | 1.80108i | ||||
\(271\) | 3.80141e38 | + | 6.58424e38i | 0.449197 | + | 0.778032i | 0.998334 | − | 0.0577006i | \(-0.0183769\pi\) |
−0.549137 | + | 0.835732i | \(0.685044\pi\) | |||||||
\(272\) | 1.36494e39i | 1.52058i | ||||||||
\(273\) | 4.69800e38 | − | 5.25502e38i | 0.493526 | − | 0.552042i | ||||
\(274\) | −1.58225e39 | −1.56771 | ||||||||
\(275\) | −7.95718e38 | + | 4.59408e38i | −0.743766 | + | 0.429413i | ||||
\(276\) | 4.94721e37 | + | 2.48534e38i | 0.0436330 | + | 0.219200i | ||||
\(277\) | −5.78780e38 | + | 1.00248e39i | −0.481767 | + | 0.834446i | −0.999781 | − | 0.0209268i | \(-0.993338\pi\) |
0.518014 | + | 0.855372i | \(0.326672\pi\) | |||||||
\(278\) | −1.36942e39 | + | 7.90635e38i | −1.07602 | + | 0.621239i | ||||
\(279\) | −4.06899e37 | + | 3.09728e38i | −0.0301870 | + | 0.229781i | ||||
\(280\) | −2.13517e37 | − | 9.08732e36i | −0.0149591 | − | 0.00636659i | ||||
\(281\) | − | 2.20657e39i | − | 1.46021i | −0.683333 | − | 0.730106i | \(-0.739470\pi\) | ||
0.683333 | − | 0.730106i | \(-0.260530\pi\) | |||||||
\(282\) | 3.38397e38 | − | 9.97335e38i | 0.211563 | − | 0.623527i | ||||
\(283\) | −1.07064e39 | + | 1.85439e39i | −0.632497 | + | 1.09552i | 0.354542 | + | 0.935040i | \(0.384637\pi\) |
−0.987040 | + | 0.160477i | \(0.948697\pi\) | |||||||
\(284\) | 1.09228e39 | + | 6.30629e38i | 0.609876 | + | 0.352112i | ||||
\(285\) | −6.02510e38 | − | 2.04432e38i | −0.318014 | − | 0.107903i | ||||
\(286\) | −2.90532e39 | −1.44990 | ||||||||
\(287\) | −1.79458e39 | − | 2.38621e39i | −0.846938 | − | 1.12616i | ||||
\(288\) | −3.14789e39 | − | 4.13547e38i | −1.40521 | − | 0.184606i | ||||
\(289\) | 1.60400e39 | + | 2.77821e39i | 0.677391 | + | 1.17328i | ||||
\(290\) | 1.82096e39 | + | 1.05133e39i | 0.727667 | + | 0.420119i | ||||
\(291\) | −4.71092e38 | + | 9.37734e37i | −0.178163 | + | 0.0354643i | ||||
\(292\) | −1.18482e38 | − | 2.05217e38i | −0.0424157 | − | 0.0734661i | ||||
\(293\) | 3.00135e39i | 1.01727i | 0.860983 | + | 0.508634i | \(0.169849\pi\) | ||||
−0.860983 | + | 0.508634i | \(0.830151\pi\) | |||||||
\(294\) | 1.87674e39 | + | 3.99758e39i | 0.602346 | + | 1.28304i | ||||
\(295\) | 6.38687e39 | 1.94149 | ||||||||
\(296\) | 1.59249e37 | − | 9.19425e36i | 0.00458574 | − | 0.00264758i | ||||
\(297\) | −5.05231e39 | + | 3.33238e38i | −1.37844 | + | 0.0909183i | ||||
\(298\) | 2.75513e39 | − | 4.77203e39i | 0.712331 | − | 1.23379i | ||||
\(299\) | 5.79657e38 | − | 3.34665e38i | 0.142047 | − | 0.0820109i | ||||
\(300\) | −1.78070e39 | − | 2.02994e39i | −0.413668 | − | 0.471567i | ||||
\(301\) | 4.31187e39 | − | 3.24278e39i | 0.949732 | − | 0.714256i | ||||
\(302\) | 1.00420e40i | 2.09754i | ||||||||
\(303\) | −8.26049e39 | − | 2.80279e39i | −1.63653 | − | 0.555276i | ||||
\(304\) | 6.95195e38 | − | 1.20411e39i | 0.130656 | − | 0.226303i | ||||
\(305\) | 2.68744e39 | + | 1.55160e39i | 0.479227 | + | 0.276682i | ||||
\(306\) | −1.18734e40 | + | 4.92194e39i | −2.00924 | + | 0.832902i | ||||
\(307\) | −3.76128e39 | −0.604118 | −0.302059 | − | 0.953289i | \(-0.597674\pi\) | ||||
−0.302059 | + | 0.953289i | \(0.597674\pi\) | |||||||
\(308\) | 3.58004e39 | − | 8.41173e39i | 0.545854 | − | 1.28255i | ||||
\(309\) | 4.92017e39 | + | 5.60882e39i | 0.712269 | + | 0.811962i | ||||
\(310\) | −1.52146e39 | − | 2.63525e39i | −0.209158 | − | 0.362272i | ||||
\(311\) | 4.75390e39 | + | 2.74467e39i | 0.620704 | + | 0.358363i | 0.777143 | − | 0.629324i | \(-0.216668\pi\) |
−0.156439 | + | 0.987688i | \(0.550002\pi\) | |||||||
\(312\) | −1.48798e37 | − | 7.47519e37i | −0.00184554 | − | 0.00927148i | ||||
\(313\) | −3.87375e39 | − | 6.70952e39i | −0.456480 | − | 0.790646i | 0.542292 | − | 0.840190i | \(-0.317557\pi\) |
−0.998772 | + | 0.0495436i | \(0.984223\pi\) | |||||||
\(314\) | − | 2.32991e40i | − | 2.60895i | ||||||
\(315\) | −1.12546e38 | + | 1.19656e40i | −0.0119774 | + | 1.27340i | ||||
\(316\) | 6.61469e39 | 0.669139 | ||||||||
\(317\) | −4.37901e39 | + | 2.52822e39i | −0.421141 | + | 0.243146i | −0.695566 | − | 0.718463i | \(-0.744846\pi\) |
0.274424 | + | 0.961609i | \(0.411513\pi\) | |||||||
\(318\) | 2.65096e40 | − | 5.27687e39i | 2.42420 | − | 0.482550i | ||||
\(319\) | −3.69724e39 | + | 6.40381e39i | −0.321534 | + | 0.556913i | ||||
\(320\) | 1.35717e40 | − | 7.83561e39i | 1.12262 | − | 0.648146i | ||||
\(321\) | 8.42856e39 | − | 7.39370e39i | 0.663243 | − | 0.581810i | ||||
\(322\) | 5.07081e38 | + | 4.16266e39i | 0.0379650 | + | 0.311657i | ||||
\(323\) | − | 5.67989e39i | − | 0.404668i | ||||||
\(324\) | −3.85923e39 | − | 1.43712e40i | −0.261686 | − | 0.974482i | ||||
\(325\) | −3.56612e39 | + | 6.17670e39i | −0.230177 | + | 0.398679i | ||||
\(326\) | 1.41777e40 | + | 8.18551e39i | 0.871214 | + | 0.502995i | ||||
\(327\) | −9.62067e39 | + | 2.83544e40i | −0.562913 | + | 1.65904i | ||||
\(328\) | −3.22842e38 | −0.0179891 | ||||||||
\(329\) | 3.42778e39 | − | 8.05399e39i | 0.181919 | − | 0.427441i | ||||
\(330\) | 3.70767e40 | − | 3.25244e40i | 1.87447 | − | 1.64432i | ||||
\(331\) | 1.21573e40 | + | 2.10571e40i | 0.585586 | + | 1.01426i | 0.994802 | + | 0.101827i | \(0.0324688\pi\) |
−0.409216 | + | 0.912437i | \(0.634198\pi\) | |||||||
\(332\) | 1.45012e40 | + | 8.37225e39i | 0.665570 | + | 0.384267i | ||||
\(333\) | −7.52445e39 | − | 5.77043e39i | −0.329130 | − | 0.252406i | ||||
\(334\) | −2.27290e40 | − | 3.93679e40i | −0.947628 | − | 1.64134i | ||||
\(335\) | − | 2.22372e40i | − | 0.883819i | ||||||
\(336\) | −2.55972e40 | − | 5.34603e39i | −0.969983 | − | 0.202583i | ||||
\(337\) | 2.55704e40 | 0.923972 | 0.461986 | − | 0.886887i | \(-0.347137\pi\) | ||||
0.461986 | + | 0.886887i | \(0.347137\pi\) | |||||||
\(338\) | 1.60887e40 | − | 9.28881e39i | 0.554439 | − | 0.320105i | ||||
\(339\) | 3.47891e39 | + | 1.74771e40i | 0.114353 | + | 0.574479i | ||||
\(340\) | 3.14403e40 | − | 5.44562e40i | 0.985880 | − | 1.70759i | ||||
\(341\) | 9.26743e39 | − | 5.35056e39i | 0.277261 | − | 0.160077i | ||||
\(342\) | 1.29813e40 | + | 1.70539e39i | 0.370595 | + | 0.0486861i | ||||
\(343\) | 1.30552e40 | + | 3.43030e40i | 0.355695 | + | 0.934602i | ||||
\(344\) | − | 5.83373e38i | − | 0.0151709i | ||||||
\(345\) | −3.65088e39 | + | 1.07600e40i | −0.0906343 | + | 0.267121i | ||||
\(346\) | −8.38387e39 | + | 1.45213e40i | −0.198713 | + | 0.344181i | ||||
\(347\) | 2.36731e39 | + | 1.36677e39i | 0.0535776 | + | 0.0309330i | 0.526550 | − | 0.850144i | \(-0.323485\pi\) |
−0.472972 | + | 0.881077i | \(0.656819\pi\) | |||||||
\(348\) | −2.05791e40 | − | 6.98253e39i | −0.444795 | − | 0.150919i | ||||
\(349\) | −5.84589e40 | −1.20682 | −0.603412 | − | 0.797430i | \(-0.706192\pi\) | ||||
−0.603412 | + | 0.797430i | \(0.706192\pi\) | |||||||
\(350\) | −2.68577e40 | − | 3.57121e40i | −0.529638 | − | 0.704250i | ||||
\(351\) | −3.26706e40 | + | 2.18493e40i | −0.615521 | + | 0.411645i | ||||
\(352\) | 5.43798e40 | + | 9.41886e40i | 0.978938 | + | 1.69557i | ||||
\(353\) | −7.22337e40 | − | 4.17041e40i | −1.24264 | − | 0.717437i | −0.273007 | − | 0.962012i | \(-0.588018\pi\) |
−0.969630 | + | 0.244575i | \(0.921352\pi\) | |||||||
\(354\) | −1.28901e41 | + | 2.56584e40i | −2.11936 | + | 0.421869i | ||||
\(355\) | 2.82764e40 | + | 4.89762e40i | 0.444397 | + | 0.769718i | ||||
\(356\) | − | 5.91863e40i | − | 0.889245i | ||||||
\(357\) | −1.01477e41 | + | 3.33704e40i | −1.45773 | + | 0.479369i | ||||
\(358\) | −1.27159e41 | −1.74670 | ||||||||
\(359\) | −9.95269e40 | + | 5.74619e40i | −1.30746 | + | 0.754864i | −0.981672 | − | 0.190578i | \(-0.938964\pi\) |
−0.325791 | + | 0.945442i | \(0.605630\pi\) | |||||||
\(360\) | 1.02672e39 | + | 7.87383e38i | 0.0129007 | + | 0.00989341i | ||||
\(361\) | 3.87063e40 | − | 6.70413e40i | 0.465229 | − | 0.805800i | ||||
\(362\) | 2.37091e40 | − | 1.36884e40i | 0.272632 | − | 0.157404i | ||||
\(363\) | 5.44431e40 | + | 6.20633e40i | 0.599014 | + | 0.682855i | ||||
\(364\) | −8.58105e39 | − | 7.04424e40i | −0.0903479 | − | 0.741672i | ||||
\(365\) | − | 1.06251e40i | − | 0.107065i | ||||||
\(366\) | −6.04718e40 | − | 2.05181e40i | −0.583251 | − | 0.197898i | ||||
\(367\) | 8.16638e40 | − | 1.41446e41i | 0.754002 | − | 1.30597i | −0.191867 | − | 0.981421i | \(-0.561454\pi\) |
0.945869 | − | 0.324549i | \(-0.105212\pi\) | |||||||
\(368\) | −2.15038e40 | − | 1.24152e40i | −0.190086 | − | 0.109746i | ||||
\(369\) | 6.37512e40 | + | 1.53789e41i | 0.539593 | + | 1.30168i | ||||
\(370\) | 9.23658e40 | 0.748658 | ||||||||
\(371\) | 2.22998e41 | − | 2.71648e40i | 1.73108 | − | 0.210874i | ||||
\(372\) | 2.07392e40 | + | 2.36420e40i | 0.154207 | + | 0.175791i | ||||
\(373\) | 3.17682e40 | + | 5.50242e40i | 0.226283 | + | 0.391933i | 0.956704 | − | 0.291064i | \(-0.0940093\pi\) |
−0.730421 | + | 0.682998i | \(0.760676\pi\) | |||||||
\(374\) | 3.81305e41 | + | 2.20146e41i | 2.60211 | + | 1.50233i | ||||
\(375\) | 1.43835e40 | + | 7.22589e40i | 0.0940512 | + | 0.472488i | ||||
\(376\) | −4.73230e38 | − | 8.19659e38i | −0.00296529 | − | 0.00513603i | ||||
\(377\) | 5.73991e40i | 0.344702i | ||||||||
\(378\) | −4.57988e40 | − | 2.41944e41i | −0.263624 | − | 1.39266i | ||||
\(379\) | −2.03343e41 | −1.12202 | −0.561011 | − | 0.827809i | \(-0.689587\pi\) | ||||
−0.561011 | + | 0.827809i | \(0.689587\pi\) | |||||||
\(380\) | −5.54716e40 | + | 3.20265e40i | −0.293449 | + | 0.169423i | ||||
\(381\) | 1.58811e41 | − | 3.16122e40i | 0.805531 | − | 0.160345i | ||||
\(382\) | 8.35363e38 | − | 1.44689e39i | 0.00406313 | − | 0.00703756i | ||||
\(383\) | 1.93151e41 | − | 1.11516e41i | 0.900981 | − | 0.520182i | 0.0234628 | − | 0.999725i | \(-0.492531\pi\) |
0.877518 | + | 0.479543i | \(0.159198\pi\) | |||||||
\(384\) | −4.28998e39 | + | 3.76325e39i | −0.0191936 | + | 0.0168370i | ||||
\(385\) | 3.27602e41 | − | 2.46376e41i | 1.40596 | − | 1.05737i | ||||
\(386\) | 3.98655e41i | 1.64135i | ||||||||
\(387\) | −2.77896e41 | + | 1.15198e41i | −1.09776 | + | 0.455060i | ||||
\(388\) | −2.41784e40 | + | 4.18783e40i | −0.0916474 | + | 0.158738i | ||||
\(389\) | −2.64864e41 | − | 1.52919e41i | −0.963449 | − | 0.556248i | −0.0662163 | − | 0.997805i | \(-0.521093\pi\) |
−0.897233 | + | 0.441558i | \(0.854426\pi\) | |||||||
\(390\) | 1.23012e41 | − | 3.62546e41i | 0.429452 | − | 1.26570i | ||||
\(391\) | −1.01435e41 | −0.339907 | ||||||||
\(392\) | 3.81286e39 | + | 1.10120e39i | 0.0122652 | + | 0.00354231i | ||||
\(393\) | −4.84051e41 | + | 4.24619e41i | −1.49489 | + | 1.31135i | ||||
\(394\) | −3.11883e41 | − | 5.40197e41i | −0.924808 | − | 1.60182i | ||||
\(395\) | 2.56856e41 | + | 1.48296e41i | 0.731369 | + | 0.422256i | ||||
\(396\) | −3.10198e41 | + | 4.04487e41i | −0.848233 | + | 1.10607i | ||||
\(397\) | 5.28134e40 | + | 9.14755e40i | 0.138706 | + | 0.240246i | 0.927007 | − | 0.375044i | \(-0.122372\pi\) |
−0.788301 | + | 0.615290i | \(0.789039\pi\) | |||||||
\(398\) | 1.11559e41i | 0.281433i | ||||||||
\(399\) | 1.06517e41 | + | 2.22463e40i | 0.258139 | + | 0.0539128i | ||||
\(400\) | 2.64588e41 | 0.616043 | ||||||||
\(401\) | −3.98995e41 | + | 2.30360e41i | −0.892600 | + | 0.515343i | −0.874792 | − | 0.484498i | \(-0.839002\pi\) |
−0.0178082 | + | 0.999841i | \(0.505669\pi\) | |||||||
\(402\) | 8.93352e40 | + | 4.48796e41i | 0.192046 | + | 0.964788i | ||||
\(403\) | 4.15333e40 | − | 7.19378e40i | 0.0858056 | − | 0.148620i | ||||
\(404\) | −7.60522e41 | + | 4.39088e41i | −1.51012 | + | 0.871866i | ||||
\(405\) | 1.72333e41 | − | 6.44573e41i | 0.328919 | − | 1.23025i | ||||
\(406\) | −3.30891e41 | − | 1.40827e41i | −0.607111 | − | 0.258387i | ||||
\(407\) | 3.24825e41i | 0.572978i | ||||||||
\(408\) | −3.71135e39 | + | 1.09382e40i | −0.00629461 | + | 0.0185517i | ||||
\(409\) | −2.58226e41 | + | 4.47261e41i | −0.421141 | + | 0.729438i | −0.996051 | − | 0.0887788i | \(-0.971704\pi\) |
0.574910 | + | 0.818216i | \(0.305037\pi\) | |||||||
\(410\) | −1.40438e42 | − | 8.10822e41i | −2.20264 | − | 1.27170i | ||||
\(411\) | 6.94357e41 | + | 2.35596e41i | 1.04740 | + | 0.355385i | ||||
\(412\) | 7.51125e41 | 1.08983 | ||||||||
\(413\) | −1.08431e42 | + | 1.32087e41i | −1.51340 | + | 0.184357i | ||||
\(414\) | 3.04559e40 | − | 2.31828e41i | 0.0408946 | − | 0.311286i | ||||
\(415\) | 3.75399e41 | + | 6.50210e41i | 0.484979 | + | 0.840009i | ||||
\(416\) | 7.31132e41 | + | 4.22119e41i | 0.908872 | + | 0.524737i | ||||
\(417\) | 7.18683e41 | − | 1.43058e41i | 0.859727 | − | 0.171133i | ||||
\(418\) | −2.24251e41 | − | 3.88415e41i | −0.258175 | − | 0.447172i | ||||
\(419\) | − | 2.48406e41i | − | 0.275257i | −0.990484 | − | 0.137629i | \(-0.956052\pi\) | ||
0.990484 | − | 0.137629i | \(-0.0439480\pi\) | |||||||
\(420\) | 8.98096e41 | + | 8.02899e41i | 0.957931 | + | 0.856392i | ||||
\(421\) | −1.86828e42 | −1.91835 | −0.959175 | − | 0.282815i | \(-0.908732\pi\) | ||||
−0.959175 | + | 0.282815i | \(0.908732\pi\) | |||||||
\(422\) | −1.36688e42 | + | 7.89166e41i | −1.35123 | + | 0.780134i | ||||
\(423\) | −2.97005e41 | + | 3.87285e41i | −0.282695 | + | 0.368625i | ||||
\(424\) | 1.21454e40 | − | 2.10364e40i | 0.0111316 | − | 0.0192805i | ||||
\(425\) | 9.36063e41 | − | 5.40436e41i | 0.826194 | − | 0.477003i | ||||
\(426\) | −7.67436e41 | − | 8.74851e41i | −0.652362 | − | 0.743670i | ||||
\(427\) | −4.88341e41 | − | 2.07838e41i | −0.399831 | − | 0.170169i | ||||
\(428\) | − | 1.12874e42i | − | 0.890213i | ||||||
\(429\) | 1.27497e42 | + | 4.32600e41i | 0.968689 | + | 0.328677i | ||||
\(430\) | 1.46515e42 | − | 2.53771e42i | 1.07247 | − | 1.85758i | ||||
\(431\) | −1.85882e41 | − | 1.07319e41i | −0.131100 | − | 0.0756904i | 0.433016 | − | 0.901386i | \(-0.357449\pi\) |
−0.564116 | + | 0.825696i | \(0.690783\pi\) | |||||||
\(432\) | 1.30796e42 | + | 6.44344e41i | 0.888902 | + | 0.437903i | ||||
\(433\) | 3.53144e41 | 0.231284 | 0.115642 | − | 0.993291i | \(-0.463107\pi\) | ||||
0.115642 | + | 0.993291i | \(0.463107\pi\) | |||||||
\(434\) | 3.12801e41 | + | 4.15926e41i | 0.197439 | + | 0.262531i | ||||
\(435\) | −6.42571e41 | − | 7.32508e41i | −0.390924 | − | 0.445640i | ||||
\(436\) | 1.50718e42 | + | 2.61052e42i | 0.883857 | + | 1.53089i | ||||
\(437\) | 8.94834e40 | + | 5.16633e40i | 0.0505871 | + | 0.0292065i | ||||
\(438\) | 4.26849e40 | + | 2.14437e41i | 0.0232642 | + | 0.116873i | ||||
\(439\) | −9.74675e41 | − | 1.68819e42i | −0.512186 | − | 0.887132i | −0.999900 | − | 0.0141287i | \(-0.995503\pi\) |
0.487714 | − | 0.873003i | \(-0.337831\pi\) | |||||||
\(440\) | − | 4.43228e40i | − | 0.0224587i | ||||||
\(441\) | −2.28353e41 | − | 2.03375e42i | −0.111581 | − | 0.993755i | ||||
\(442\) | 3.41774e42 | 1.61058 | ||||||||
\(443\) | 1.41515e42 | − | 8.17039e41i | 0.643197 | − | 0.371350i | −0.142648 | − | 0.989773i | \(-0.545562\pi\) |
0.785845 | + | 0.618424i | \(0.212228\pi\) | |||||||
\(444\) | −9.36251e41 | + | 1.86366e41i | −0.410454 | + | 0.0817031i | ||||
\(445\) | 1.32691e42 | − | 2.29828e42i | 0.561154 | − | 0.971946i | ||||
\(446\) | −4.21772e42 | + | 2.43510e42i | −1.72076 | + | 0.993479i | ||||
\(447\) | −1.91962e42 | + | 1.68393e42i | −0.755604 | + | 0.662831i | ||||
\(448\) | −2.14204e42 | + | 1.61094e42i | −0.813541 | + | 0.611831i | ||||
\(449\) | − | 4.09931e42i | − | 1.50234i | −0.660107 | − | 0.751171i | \(-0.729489\pi\) | ||
0.660107 | − | 0.751171i | \(-0.270511\pi\) | |||||||
\(450\) | 9.54102e41 | + | 2.30162e42i | 0.337438 | + | 0.814015i | ||||
\(451\) | 2.85143e42 | − | 4.93882e42i | 0.973281 | − | 1.68577i | ||||
\(452\) | 1.55364e42 | + | 8.96997e41i | 0.511843 | + | 0.295513i | ||||
\(453\) | 1.49525e42 | − | 4.40685e42i | 0.475491 | − | 1.40139i | ||||
\(454\) | 5.02604e42 | 1.54288 | ||||||||
\(455\) | 1.24605e42 | − | 2.92774e42i | 0.369278 | − | 0.867663i | ||||
\(456\) | 8.84514e39 | − | 7.75913e39i | 0.00253086 | − | 0.00222012i | ||||
\(457\) | −2.26770e42 | − | 3.92777e42i | −0.626508 | − | 1.08514i | −0.988247 | − | 0.152864i | \(-0.951150\pi\) |
0.361739 | − | 0.932279i | \(-0.382183\pi\) | |||||||
\(458\) | 2.58501e42 | + | 1.49246e42i | 0.689628 | + | 0.398157i | ||||
\(459\) | 5.94341e42 | − | 3.92013e41i | 1.53120 | − | 0.100994i | ||||
\(460\) | 5.71951e41 | + | 9.90648e41i | 0.142309 | + | 0.246487i | ||||
\(461\) | − | 1.00134e41i | − | 0.0240641i | −0.999928 | − | 0.0120320i | \(-0.996170\pi\) | ||
0.999928 | − | 0.0120320i | \(-0.00383001\pi\) | |||||||
\(462\) | −5.62194e42 | + | 6.28851e42i | −1.30501 | + | 1.45974i | ||||
\(463\) | 6.12085e42 | 1.37251 | 0.686255 | − | 0.727361i | \(-0.259253\pi\) | ||||
0.686255 | + | 0.727361i | \(0.259253\pi\) | |||||||
\(464\) | 1.84408e42 | − | 1.06468e42i | 0.399478 | − | 0.230639i | ||||
\(465\) | 2.75294e41 | + | 1.38300e42i | 0.0576168 | + | 0.289451i | ||||
\(466\) | 2.72638e42 | − | 4.72223e42i | 0.551330 | − | 0.954932i | ||||
\(467\) | 4.20469e42 | − | 2.42758e42i | 0.821606 | − | 0.474354i | −0.0293642 | − | 0.999569i | \(-0.509348\pi\) |
0.850970 | + | 0.525215i | \(0.176015\pi\) | |||||||
\(468\) | −5.15388e41 | + | 3.92309e42i | −0.0973197 | + | 0.740790i | ||||
\(469\) | 4.59888e41 | + | 3.77525e42i | 0.0839241 | + | 0.688939i | ||||
\(470\) | − | 4.75409e42i | − | 0.838497i | ||||||
\(471\) | −3.46923e42 | + | 1.02246e43i | −0.591423 | + | 1.74306i | ||||
\(472\) | −5.90560e40 | + | 1.02288e41i | −0.00973177 | + | 0.0168559i | ||||
\(473\) | 8.92441e42 | + | 5.15251e42i | 1.42168 | + | 0.820806i | ||||
\(474\) | −5.77969e42 | − | 1.96105e42i | −0.890125 | − | 0.302020i | ||||
\(475\) | −1.10103e42 | −0.163946 | ||||||||
\(476\) | −4.21147e42 | + | 9.89534e42i | −0.606348 | + | 1.42469i | ||||
\(477\) | −1.24192e43 | − | 1.63155e42i | −1.72902 | − | 0.227147i | ||||
\(478\) | −9.23990e42 | − | 1.60040e43i | −1.24400 | − | 2.15467i | ||||
\(479\) | −3.85183e42 | − | 2.22386e42i | −0.501533 | − | 0.289560i | 0.227814 | − | 0.973705i | \(-0.426842\pi\) |
−0.729346 | + | 0.684145i | \(0.760176\pi\) | |||||||
\(480\) | −1.40560e43 | + | 2.79792e42i | −1.77012 | + | 0.352351i | ||||
\(481\) | 1.26071e42 | + | 2.18362e42i | 0.153566 | + | 0.265984i | ||||
\(482\) | − | 1.29687e43i | − | 1.52807i | ||||||
\(483\) | 3.97289e41 | − | 1.90225e42i | 0.0452848 | − | 0.216827i | ||||
\(484\) | 8.31143e42 | 0.916537 | ||||||||
\(485\) | −1.87775e42 | + | 1.08412e42i | −0.200342 | + | 0.115667i | ||||
\(486\) | −8.88572e41 | + | 1.37012e43i | −0.0917302 | + | 1.41442i | ||||
\(487\) | −2.96424e42 | + | 5.13422e42i | −0.296108 | + | 0.512874i | −0.975242 | − | 0.221140i | \(-0.929022\pi\) |
0.679134 | + | 0.734014i | \(0.262356\pi\) | |||||||
\(488\) | −4.96987e40 | + | 2.86935e40i | −0.00480427 | + | 0.00277375i | ||||
\(489\) | −5.00295e42 | − | 5.70319e42i | −0.468042 | − | 0.533551i | ||||
\(490\) | 1.38205e43 | + | 1.43663e43i | 1.25137 | + | 1.30079i | ||||
\(491\) | 1.07119e43i | 0.938779i | 0.882991 | + | 0.469390i | \(0.155526\pi\) | ||||
−0.882991 | + | 0.469390i | \(0.844474\pi\) | |||||||
\(492\) | 1.58713e43 | + | 5.38515e42i | 1.34639 | + | 0.456832i | ||||
\(493\) | 4.34934e42 | − | 7.53328e42i | 0.357168 | − | 0.618633i | ||||
\(494\) | −3.01504e42 | − | 1.74073e42i | −0.239697 | − | 0.138389i | ||||
\(495\) | −2.11136e43 | + | 8.75235e42i | −1.62510 | + | 0.673661i | ||||
\(496\) | −3.08156e42 | −0.229649 | ||||||||
\(497\) | −5.81342e42 | − | 7.73000e42i | −0.419498 | − | 0.557798i | ||||
\(498\) | −1.01885e43 | − | 1.16145e43i | −0.711936 | − | 0.811582i | ||||
\(499\) | 4.82861e42 | + | 8.36339e42i | 0.326748 | + | 0.565944i | 0.981865 | − | 0.189583i | \(-0.0607138\pi\) |
−0.655116 | + | 0.755528i | \(0.727380\pi\) | |||||||
\(500\) | 6.42353e42 | + | 3.70863e42i | 0.420972 | + | 0.243048i | ||||
\(501\) | 4.11260e42 | + | 2.06606e43i | 0.261043 | + | 1.31141i | ||||
\(502\) | −1.70223e43 | − | 2.94835e43i | −1.04655 | − | 1.81267i | ||||
\(503\) | 1.66338e43i | 0.990613i | 0.868718 | + | 0.495306i | \(0.164944\pi\) | ||||
−0.868718 | + | 0.495306i | \(0.835056\pi\) | |||||||
\(504\) | −1.90592e41 | − | 1.12442e41i | −0.0109955 | − | 0.00648693i | ||||
\(505\) | −3.93760e43 | −2.20074 | ||||||||
\(506\) | −6.93656e42 | + | 4.00482e42i | −0.375609 | + | 0.216858i | ||||
\(507\) | −8.44348e42 | + | 1.68072e42i | −0.442990 | + | 0.0881795i | ||||
\(508\) | 8.15086e42 | − | 1.41177e43i | 0.414366 | − | 0.717703i | ||||
\(509\) | 1.04189e43 | − | 6.01538e42i | 0.513262 | − | 0.296332i | −0.220911 | − | 0.975294i | \(-0.570903\pi\) |
0.734174 | + | 0.678962i | \(0.237570\pi\) | |||||||
\(510\) | −4.36160e43 | + | 3.82608e43i | −2.08220 | + | 1.82655i | ||||
\(511\) | 2.19737e41 | + | 1.80384e42i | 0.0101665 | + | 0.0834571i | ||||
\(512\) | − | 3.16013e43i | − | 1.41705i | ||||||
\(513\) | −5.44278e42 | − | 2.68129e42i | −0.236561 | − | 0.116538i | ||||
\(514\) | 2.56683e43 | − | 4.44587e43i | 1.08140 | − | 1.87304i | ||||
\(515\) | 2.91671e43 | + | 1.68396e43i | 1.19118 | + | 0.687729i | ||||
\(516\) | −9.73091e42 | + | 2.86793e43i | −0.385264 | + | 1.13546i | ||||
\(517\) | 1.67188e43 | 0.641736 | ||||||||
\(518\) | −1.56811e43 | + | 1.91022e42i | −0.583580 | + | 0.0710897i | ||||
\(519\) | 5.84140e42 | − | 5.12419e42i | 0.210785 | − | 0.184904i | ||||
\(520\) | −1.72026e41 | − | 2.97958e41i | −0.00601923 | − | 0.0104256i | ||||
\(521\) | 1.07511e43 | + | 6.20714e42i | 0.364795 | + | 0.210614i | 0.671182 | − | 0.741293i | \(-0.265787\pi\) |
−0.306387 | + | 0.951907i | \(0.599120\pi\) | |||||||
\(522\) | 1.59112e43 | + | 1.22022e43i | 0.523572 | + | 0.401522i | ||||
\(523\) | 1.03980e43 | + | 1.80098e43i | 0.331835 | + | 0.574755i | 0.982872 | − | 0.184291i | \(-0.0589990\pi\) |
−0.651037 | + | 0.759046i | \(0.725666\pi\) | |||||||
\(524\) | 6.48234e43i | 2.00646i | ||||||||
\(525\) | 6.46874e42 | + | 1.96711e43i | 0.194210 | + | 0.590580i | ||||
\(526\) | −6.61238e43 | −1.92569 | ||||||||
\(527\) | −1.09020e43 | + | 6.29426e42i | −0.307989 | + | 0.177818i | ||||
\(528\) | −9.75086e42 | − | 4.89857e43i | −0.267239 | − | 1.34254i | ||||
\(529\) | −1.78818e43 | + | 3.09722e43i | −0.475468 | + | 0.823534i | ||||
\(530\) | 1.05666e44 | − | 6.10064e43i | 2.72597 | − | 1.57384i | ||||
\(531\) | 6.03877e43 | + | 7.93330e42i | 1.51160 | + | 0.198583i | ||||
\(532\) | 8.75517e42 | − | 6.58441e42i | 0.212656 | − | 0.159930i | ||||
\(533\) | − | 4.42681e43i | − | 1.04341i | ||||||
\(534\) | −1.75469e43 | + | 5.17150e43i | −0.401367 | + | 1.18292i | ||||
\(535\) | 2.53055e43 | − | 4.38304e43i | 0.561764 | − | 0.973004i | ||||
\(536\) | 3.56137e41 | + | 2.05616e41i | 0.00767326 | + | 0.00443016i | ||||
\(537\) | 5.58027e43 | + | 1.89339e43i | 1.16699 | + | 0.395960i | ||||
\(538\) | 1.08453e44 | 2.20154 | ||||||||
\(539\) | −5.05222e43 | + | 4.86028e43i | −0.995548 | + | 0.957726i | ||||
\(540\) | −3.73410e43 | − | 5.58348e43i | −0.714308 | − | 1.06808i | ||||
\(541\) | 1.34204e43 | + | 2.32448e43i | 0.249234 | + | 0.431687i | 0.963314 | − | 0.268378i | \(-0.0864877\pi\) |
−0.714079 | + | 0.700065i | \(0.753154\pi\) | |||||||
\(542\) | −6.11613e43 | − | 3.53115e43i | −1.10278 | − | 0.636689i | ||||
\(543\) | −1.24427e43 | + | 2.47679e42i | −0.217830 | + | 0.0433603i | ||||
\(544\) | −6.39710e43 | − | 1.10801e44i | −1.08743 | − | 1.88348i | ||||
\(545\) | 1.35159e44i | 2.23101i | ||||||||
\(546\) | −1.33862e43 | + | 6.40942e43i | −0.214573 | + | 1.02739i | ||||
\(547\) | −6.01270e43 | −0.935992 | −0.467996 | − | 0.883731i | \(-0.655024\pi\) | ||||
−0.467996 | + | 0.883731i | \(0.655024\pi\) | |||||||
\(548\) | 6.39278e43 | − | 3.69087e43i | 0.966497 | − | 0.558007i | ||||
\(549\) | 2.34824e43 | + | 1.80084e43i | 0.344814 | + | 0.264435i | ||||
\(550\) | 4.26746e43 | − | 7.39146e43i | 0.608648 | − | 1.05421i | ||||
\(551\) | −7.67374e42 | + | 4.43044e42i | −0.106312 | + | 0.0613792i | ||||
\(552\) | −1.38568e41 | − | 1.57962e41i | −0.00186482 | − | 0.00212583i | ||||
\(553\) | −4.66739e43 | − | 1.98644e43i | −0.610200 | − | 0.259701i | ||||
\(554\) | − | 1.07526e44i | − | 1.36571i | ||||||
\(555\) | −4.05339e43 | − | 1.37532e43i | −0.500186 | − | 0.169713i | ||||
\(556\) | 3.68858e43 | − | 6.38881e43i | 0.442245 | − | 0.765990i | ||||
\(557\) | −4.52254e43 | − | 2.61109e43i | −0.526864 | − | 0.304185i | 0.212874 | − | 0.977080i | \(-0.431718\pi\) |
−0.739739 | + | 0.672894i | \(0.765051\pi\) | |||||||
\(558\) | −1.11121e43 | − | 2.68061e43i | −0.125790 | − | 0.303449i | ||||
\(559\) | 7.99919e43 | 0.879949 | ||||||||
\(560\) | −1.17173e44 | + | 1.42737e43i | −1.25262 | + | 0.152590i | ||||
\(561\) | −1.34553e44 | − | 1.53385e44i | −1.39793 | − | 1.59360i | ||||
\(562\) | 1.02484e44 | + | 1.77508e44i | 1.03485 | + | 1.79241i | ||||
\(563\) | 1.38221e44 | + | 7.98019e43i | 1.35656 | + | 0.783211i | 0.989159 | − | 0.146851i | \(-0.0469137\pi\) |
0.367403 | + | 0.930062i | \(0.380247\pi\) | |||||||
\(564\) | 9.59228e42 | + | 4.81891e43i | 0.0915074 | + | 0.459709i | ||||
\(565\) | 4.02199e43 | + | 6.96630e43i | 0.372963 | + | 0.645991i | ||||
\(566\) | − | 1.98903e44i | − | 1.79300i | ||||||
\(567\) | −1.59269e43 | + | 1.12994e44i | −0.139573 | + | 0.990212i | ||||
\(568\) | −1.04583e42 | −0.00891019 | ||||||||
\(569\) | −4.22488e42 | + | 2.43924e42i | −0.0349960 | + | 0.0202049i | −0.517396 | − | 0.855746i | \(-0.673099\pi\) |
0.482400 | + | 0.875951i | \(0.339765\pi\) | |||||||
\(570\) | 5.79641e43 | − | 1.15380e43i | 0.466833 | − | 0.0929255i | ||||
\(571\) | 9.15292e43 | − | 1.58533e44i | 0.716774 | − | 1.24149i | −0.245498 | − | 0.969397i | \(-0.578951\pi\) |
0.962271 | − | 0.272091i | \(-0.0877152\pi\) | |||||||
\(572\) | 1.17384e44 | − | 6.77714e43i | 0.893863 | − | 0.516072i | ||||
\(573\) | −5.82033e41 | + | 5.10571e41i | −0.00430996 | + | 0.00378078i | ||||
\(574\) | 2.55194e44 | + | 1.08611e44i | 1.83772 | + | 0.782135i | ||||
\(575\) | 1.96628e43i | 0.137709i | ||||||||
\(576\) | 1.38053e44 | − | 5.72277e43i | 0.940340 | − | 0.389804i | ||||
\(577\) | −2.28312e43 | + | 3.95449e43i | −0.151257 | + | 0.261986i | −0.931690 | − | 0.363254i | \(-0.881666\pi\) |
0.780433 | + | 0.625240i | \(0.214999\pi\) | |||||||
\(578\) | −2.58069e44 | − | 1.48996e44i | −1.66300 | − | 0.960131i | ||||
\(579\) | 5.93594e43 | − | 1.74946e44i | 0.372077 | − | 1.09660i | ||||
\(580\) | −9.80965e43 | −0.598144 | ||||||||
\(581\) | −7.71791e43 | − | 1.02624e44i | −0.457806 | − | 0.608737i | ||||
\(582\) | 3.35419e43 | − | 2.94236e43i | 0.193562 | − | 0.169796i | ||||
\(583\) | 2.14542e44 | + | 3.71598e44i | 1.20453 | + | 2.08630i | ||||
\(584\) | 1.70164e41 | + | 9.82444e40i | 0.000929529 | + | 0.000536664i | ||||
\(585\) | −1.07966e44 | + | 1.40784e44i | −0.573842 | + | 0.748271i | ||||
\(586\) | −1.39398e44 | − | 2.41445e44i | −0.720934 | − | 1.24869i | ||||
\(587\) | − | 8.50030e43i | − | 0.427784i | −0.976857 | − | 0.213892i | \(-0.931386\pi\) | ||
0.976857 | − | 0.213892i | \(-0.0686140\pi\) | |||||||
\(588\) | −1.69076e44 | − | 1.17736e44i | −0.828028 | − | 0.576597i | ||||
\(589\) | 1.28232e43 | 0.0611158 | ||||||||
\(590\) | −5.13795e44 | + | 2.96639e44i | −2.38318 | + | 1.37593i | ||||
\(591\) | 5.64321e43 | + | 2.83500e44i | 0.254757 | + | 1.27983i | ||||
\(592\) | 4.67693e43 | − | 8.10068e43i | 0.205501 | − | 0.355938i | ||||
\(593\) | −1.73648e44 | + | 1.00255e44i | −0.742666 | + | 0.428778i | −0.823038 | − | 0.567987i | \(-0.807723\pi\) |
0.0803718 | + | 0.996765i | \(0.474389\pi\) | |||||||
\(594\) | 3.90958e44 | − | 2.61463e44i | 1.62760 | − | 1.08850i | ||||
\(595\) | −3.85382e44 | + | 2.89830e44i | −1.56178 | + | 1.17455i | ||||
\(596\) | 2.57072e44i | 1.01418i | ||||||||
\(597\) | 1.66110e43 | − | 4.89566e43i | 0.0637980 | − | 0.188028i | ||||
\(598\) | −3.10872e43 | + | 5.38445e43i | −0.116242 | + | 0.201337i | ||||
\(599\) | −2.08808e44 | − | 1.20556e44i | −0.760184 | − | 0.438893i | 0.0691776 | − | 0.997604i | \(-0.477962\pi\) |
−0.829362 | + | 0.558712i | \(0.811296\pi\) | |||||||
\(600\) | 2.12034e42 | + | 7.19432e41i | 0.00751596 | + | 0.00255017i | ||||
\(601\) | −6.44619e43 | −0.222491 | −0.111245 | − | 0.993793i | \(-0.535484\pi\) | ||||
−0.111245 | + | 0.993793i | \(0.535484\pi\) | |||||||
\(602\) | −1.96258e44 | + | 4.61132e44i | −0.659605 | + | 1.54982i | ||||
\(603\) | 2.76214e43 | − | 2.10252e44i | 0.0904002 | − | 0.688119i | ||||
\(604\) | −2.34247e44 | − | 4.05728e44i | −0.746592 | − | 1.29314i | ||||
\(605\) | 3.22743e44 | + | 1.86336e44i | 1.00178 | + | 0.578376i | ||||
\(606\) | 7.94694e44 | − | 1.58188e44i | 2.40236 | − | 0.478202i | ||||
\(607\) | −1.06061e44 | − | 1.83703e44i | −0.312275 | − | 0.540876i | 0.666580 | − | 0.745434i | \(-0.267758\pi\) |
−0.978854 | + | 0.204558i | \(0.934424\pi\) | |||||||
\(608\) | 1.30328e44i | 0.373749i | ||||||||
\(609\) | 1.24239e44 | + | 1.11070e44i | 0.347043 | + | 0.310257i | ||||
\(610\) | −2.88257e44 | −0.784335 | ||||||||
\(611\) | 1.12391e44 | − | 6.48892e43i | 0.297902 | − | 0.171994i | ||||
\(612\) | 3.64908e44 | − | 4.75829e44i | 0.942239 | − | 1.22865i | ||||
\(613\) | 1.86079e44 | − | 3.22299e44i | 0.468091 | − | 0.810758i | −0.531244 | − | 0.847219i | \(-0.678275\pi\) |
0.999335 | + | 0.0364610i | \(0.0116085\pi\) | |||||||
\(614\) | 3.02578e44 | − | 1.74693e44i | 0.741554 | − | 0.428137i | ||||
\(615\) | 4.95571e44 | + | 5.64934e44i | 1.18333 | + | 1.34895i | ||||
\(616\) | 9.16640e41 | + | 7.52476e42i | 0.00213259 | + | 0.0175066i | ||||
\(617\) | 8.21847e43i | 0.186307i | 0.995652 | + | 0.0931533i | \(0.0296947\pi\) | ||||
−0.995652 | + | 0.0931533i | \(0.970305\pi\) | |||||||
\(618\) | −6.56307e44 | − | 2.22686e44i | −1.44975 | − | 0.491900i | ||||
\(619\) | 1.52344e44 | − | 2.63867e44i | 0.327925 | − | 0.567983i | −0.654175 | − | 0.756343i | \(-0.726984\pi\) |
0.982100 | + | 0.188360i | \(0.0603173\pi\) | |||||||
\(620\) | 1.22943e44 | + | 7.09814e43i | 0.257892 | + | 0.148894i | ||||
\(621\) | −4.78843e43 | + | 9.72007e43i | −0.0978875 | + | 0.198703i | ||||
\(622\) | −5.09906e44 | −1.01588 | ||||||||
\(623\) | −1.77741e44 | + | 4.17625e44i | −0.345128 | + | 0.810919i | ||||
\(624\) | −2.55674e44 | − | 2.91459e44i | −0.483875 | − | 0.551600i | ||||
\(625\) | 3.34799e44 | + | 5.79889e44i | 0.617595 | + | 1.06971i | ||||
\(626\) | 6.23250e44 | + | 3.59834e44i | 1.12066 | + | 0.647012i | ||||
\(627\) | 4.05761e43 | + | 2.03843e44i | 0.0711196 | + | 0.357286i | ||||
\(628\) | 5.43492e44 | + | 9.41356e44i | 0.928622 | + | 1.60842i | ||||
\(629\) | − | 3.82115e44i | − | 0.636479i | ||||||
\(630\) | −5.46690e44 | − | 9.67804e44i | −0.887753 | − | 1.57159i | ||||
\(631\) | −8.26468e44 | −1.30845 | −0.654224 | − | 0.756301i | \(-0.727005\pi\) | ||||
−0.654224 | + | 0.756301i | \(0.727005\pi\) | |||||||
\(632\) | −4.75003e42 | + | 2.74243e42i | −0.00733201 | + | 0.00423314i | ||||
\(633\) | 7.17348e44 | − | 1.42792e44i | 1.07962 | − | 0.214904i | ||||
\(634\) | 2.34848e44 | − | 4.06768e44i | 0.344634 | − | 0.596923i | ||||
\(635\) | 6.33016e44 | − | 3.65472e44i | 0.905806 | − | 0.522967i | ||||
\(636\) | −9.47976e44 | + | 8.31583e44i | −1.32277 | + | 1.16036i | ||||
\(637\) | −1.50996e44 | + | 5.22818e44i | −0.205463 | + | 0.711410i | ||||
\(638\) | − | 6.86876e44i | − | 0.911481i | ||||||
\(639\) | 2.06518e44 | + | 4.98191e44i | 0.267266 | + | 0.644737i | ||||
\(640\) | −1.28800e43 | + | 2.23089e43i | −0.0162569 | + | 0.0281577i | ||||
\(641\) | 7.63000e44 | + | 4.40518e44i | 0.939282 | + | 0.542295i | 0.889735 | − | 0.456477i | \(-0.150889\pi\) |
0.0495467 | + | 0.998772i | \(0.484222\pi\) | |||||||
\(642\) | −3.34637e44 | + | 9.86255e44i | −0.401804 | + | 1.18421i | ||||
\(643\) | −7.62565e44 | −0.893103 | −0.446551 | − | 0.894758i | \(-0.647348\pi\) | ||||
−0.446551 | + | 0.894758i | \(0.647348\pi\) | |||||||
\(644\) | −1.17589e44 | − | 1.56356e44i | −0.134336 | − | 0.178624i | ||||
\(645\) | −1.02083e45 | + | 8.95492e44i | −1.13762 | + | 0.997945i | ||||
\(646\) | 2.63803e44 | + | 4.56921e44i | 0.286787 | + | 0.496730i | ||||
\(647\) | 8.59015e44 | + | 4.95953e44i | 0.911030 | + | 0.525983i | 0.880762 | − | 0.473559i | \(-0.157031\pi\) |
0.0302673 | + | 0.999542i | \(0.490364\pi\) | |||||||
\(648\) | 8.72959e42 | + | 8.72000e42i | 0.00903221 | + | 0.00902228i | ||||
\(649\) | −1.04320e45 | − | 1.80687e45i | −1.05306 | − | 1.82395i | ||||
\(650\) | − | 6.62517e44i | − | 0.652504i | ||||||
\(651\) | −7.53390e43 | − | 2.29101e44i | −0.0723976 | − | 0.220157i | ||||
\(652\) | −7.63764e44 | −0.716139 | ||||||||
\(653\) | 4.18385e43 | − | 2.41555e43i | 0.0382794 | − | 0.0221006i | −0.480738 | − | 0.876864i | \(-0.659631\pi\) |
0.519018 | + | 0.854764i | \(0.326298\pi\) | |||||||
\(654\) | −5.42985e44 | − | 2.72781e45i | −0.484779 | − | 2.43540i | ||||
\(655\) | −1.45329e45 | + | 2.51717e45i | −1.26617 | + | 2.19307i | ||||
\(656\) | −1.42222e45 | + | 8.21117e44i | −1.20922 | + | 0.698142i | ||||
\(657\) | 1.31977e43 | − | 1.00460e44i | 0.0109510 | − | 0.0833578i | ||||
\(658\) | 9.83194e43 | + | 8.07110e44i | 0.0796205 | + | 0.653610i | ||||
\(659\) | − | 7.89869e44i | − | 0.624293i | −0.950034 | − | 0.312146i | \(-0.898952\pi\) | ||
0.950034 | − | 0.312146i | \(-0.101048\pi\) | |||||||
\(660\) | −7.39323e44 | + | 2.17896e45i | −0.570337 | + | 1.68092i | ||||
\(661\) | −1.89650e44 | + | 3.28483e44i | −0.142800 | + | 0.247337i | −0.928550 | − | 0.371207i | \(-0.878944\pi\) |
0.785750 | + | 0.618544i | \(0.212277\pi\) | |||||||
\(662\) | −1.95600e45 | − | 1.12930e45i | −1.43761 | − | 0.830006i | ||||
\(663\) | −1.49985e45 | − | 5.08899e44i | −1.07604 | − | 0.365103i | ||||
\(664\) | −1.38844e43 | −0.00972387 | ||||||||
\(665\) | 4.87591e44 | − | 5.93967e43i | 0.333357 | − | 0.0406084i | ||||
\(666\) | 8.73316e44 | + | 1.14730e44i | 0.582886 | + | 0.0765754i | ||||
\(667\) | 7.91216e43 | + | 1.37043e44i | 0.0515563 | + | 0.0892982i | ||||
\(668\) | 1.83664e45 | + | 1.06039e45i | 1.16843 | + | 0.674592i | ||||
\(669\) | 2.21349e45 | − | 4.40607e44i | 1.37487 | − | 0.273674i | ||||
\(670\) | 1.03281e45 | + | 1.78888e45i | 0.626360 | + | 1.08489i | ||||
\(671\) | − | 1.01372e45i | − | 0.600283i | ||||||
\(672\) | 2.32845e45 | − | 7.65700e44i | 1.34635 | − | 0.442742i | ||||
\(673\) | 8.82927e44 | 0.498521 | 0.249261 | − | 0.968436i | \(-0.419812\pi\) | ||||
0.249261 | + | 0.968436i | \(0.419812\pi\) | |||||||
\(674\) | −2.05702e45 | + | 1.18762e45i | −1.13417 | + | 0.654816i | ||||
\(675\) | −7.59903e43 | − | 1.15211e45i | −0.0409164 | − | 0.620345i | ||||
\(676\) | −4.33355e44 | + | 7.50592e44i | −0.227875 | + | 0.394691i | ||||
\(677\) | 1.42787e45 | − | 8.24382e44i | 0.733281 | − | 0.423360i | −0.0863406 | − | 0.996266i | \(-0.527517\pi\) |
0.819621 | + | 0.572906i | \(0.194184\pi\) | |||||||
\(678\) | −1.09159e45 | − | 1.24437e45i | −0.547500 | − | 0.624131i | ||||
\(679\) | 2.96369e44 | − | 2.22887e44i | 0.145183 | − | 0.109186i | ||||
\(680\) | 5.21402e43i | 0.0249477i | ||||||||
\(681\) | −2.20563e45 | − | 7.48374e44i | −1.03081 | − | 0.349756i | ||||
\(682\) | −4.97015e44 | + | 8.60855e44i | −0.226892 | + | 0.392989i | ||||
\(683\) | 2.43943e44 | + | 1.40840e44i | 0.108782 | + | 0.0628052i | 0.553404 | − | 0.832913i | \(-0.313329\pi\) |
−0.444622 | + | 0.895718i | \(0.646662\pi\) | |||||||
\(684\) | −5.64263e44 | + | 2.33907e44i | −0.245801 | + | 0.101893i | ||||
\(685\) | 3.30986e45 | 1.40851 | ||||||||
\(686\) | −2.64344e45 | − | 2.15317e45i | −1.09897 | − | 0.895143i | ||||
\(687\) | −9.12184e44 | − | 1.03986e45i | −0.370489 | − | 0.422344i | ||||
\(688\) | −1.48375e45 | − | 2.56993e45i | −0.588770 | − | 1.01978i | ||||
\(689\) | 2.88450e45 | + | 1.66537e45i | 1.11831 | + | 0.645658i | ||||
\(690\) | −2.06054e44 | − | 1.03516e45i | −0.0780541 | − | 0.392123i | ||||
\(691\) | −6.99670e44 | − | 1.21186e45i | −0.258967 | − | 0.448544i | 0.706998 | − | 0.707215i | \(-0.250049\pi\) |
−0.965965 | + | 0.258671i | \(0.916715\pi\) | |||||||
\(692\) | − | 7.82272e44i | − | 0.282918i | ||||||
\(693\) | 3.40349e45 | − | 1.92255e45i | 1.20280 | − | 0.679433i | ||||
\(694\) | −2.53919e44 | −0.0876886 | ||||||||
\(695\) | 2.86464e45 | − | 1.65390e45i | 0.966748 | − | 0.558152i | ||||
\(696\) | 1.76729e43 | − | 3.51788e42i | 0.00582854 | − | 0.00116020i | ||||
\(697\) | −3.35435e45 | + | 5.80991e45i | −1.08115 | + | 1.87260i | ||||
\(698\) | 4.70275e45 | − | 2.71513e45i | 1.48137 | − | 0.855272i | ||||
\(699\) | −1.89959e45 | + | 1.66635e45i | −0.584822 | + | 0.513018i | ||||
\(700\) | 1.91818e45 | + | 8.16378e44i | 0.577192 | + | 0.245653i | ||||
\(701\) | 2.10605e45i | 0.619412i | 0.950832 | + | 0.309706i | \(0.100231\pi\) | ||||
−0.950832 | + | 0.309706i | \(0.899769\pi\) | |||||||
\(702\) | 1.61341e45 | − | 3.27507e45i | 0.463820 | − | 0.941513i | ||||
\(703\) | −1.94620e44 | + | 3.37092e44i | −0.0546893 | + | 0.0947247i | ||||
\(704\) | −4.43345e45 | − | 2.55965e45i | −1.21781 | − | 0.703102i | ||||
\(705\) | −7.07881e44 | + | 2.08629e45i | −0.190079 | + | 0.560208i | ||||
\(706\) | 7.74782e45 | 2.03378 | ||||||||
\(707\) | 6.68494e45 | − | 8.14336e44i | 1.71548 | − | 0.208974i | ||||
\(708\) | 4.60947e45 | − | 4.04352e45i | 1.15643 | − | 1.01444i | ||||
\(709\) | 8.57926e44 | + | 1.48597e45i | 0.210431 | + | 0.364477i | 0.951850 | − | 0.306566i | \(-0.0991799\pi\) |
−0.741418 | + | 0.671043i | \(0.765847\pi\) | |||||||
\(710\) | −4.54942e45 | − | 2.62661e45i | −1.09099 | − | 0.629886i | ||||
\(711\) | 2.24437e45 | + | 1.72118e45i | 0.526235 | + | 0.403565i | ||||
\(712\) | 2.45385e43 | + | 4.25019e43i | 0.00562559 | + | 0.00974380i | ||||
\(713\) | − | 2.29006e44i | − | 0.0513351i | ||||||
\(714\) | 6.61350e45 | − | 7.39764e45i | 1.44964 | − | 1.62152i | ||||
\(715\) | 6.07753e45 | 1.30266 | ||||||||
\(716\) | 5.13761e45 | − | 2.96620e45i | 1.07684 | − | 0.621717i | ||||
\(717\) | 1.67187e45 | + | 8.39903e45i | 0.342686 | + | 1.72156i | ||||
\(718\) | 5.33765e45 | − | 9.24509e45i | 1.06994 | − | 1.85319i | ||||
\(719\) | 9.04911e44 | − | 5.22451e44i | 0.177396 | − | 0.102420i | −0.408673 | − | 0.912681i | \(-0.634008\pi\) |
0.586069 | + | 0.810261i | \(0.300675\pi\) | |||||||
\(720\) | 6.52565e45 | + | 8.57293e44i | 1.25113 | + | 0.164365i | ||||
\(721\) | −5.30001e45 | − | 2.25569e45i | −0.993831 | − | 0.422976i | ||||
\(722\) | 7.19089e45i | 1.31883i | ||||||||
\(723\) | −1.93103e45 | + | 5.69119e45i | −0.346398 | + | 1.02092i | ||||
\(724\) | −6.38613e44 | + | 1.10611e45i | −0.112052 | + | 0.194080i | ||||
\(725\) | −1.46030e45 | − | 8.43104e44i | −0.250630 | − | 0.144702i | ||||
\(726\) | −7.26224e45 | − | 2.46409e45i | −1.21923 | − | 0.413685i | ||||
\(727\) | −8.31087e45 | −1.36488 | −0.682442 | − | 0.730940i | \(-0.739082\pi\) | ||||
−0.682442 | + | 0.730940i | \(0.739082\pi\) | |||||||
\(728\) | 3.53673e43 | + | 4.70272e43i | 0.00568198 | + | 0.00755522i | ||||
\(729\) | 2.43005e45 | − | 5.88036e45i | 0.381922 | − | 0.924195i | ||||
\(730\) | 4.93484e44 | + | 8.54739e44i | 0.0758765 | + | 0.131422i | ||||
\(731\) | −1.04984e46 | − | 6.06128e45i | −1.57924 | − | 0.911772i | ||||
\(732\) | 2.92187e45 | − | 5.81613e44i | 0.430014 | − | 0.0855966i | ||||
\(733\) | −1.67705e45 | − | 2.90473e45i | −0.241481 | − | 0.418257i | 0.719656 | − | 0.694331i | \(-0.244300\pi\) |
−0.961136 | + | 0.276074i | \(0.910966\pi\) | |||||||
\(734\) | 1.51716e46i | 2.13744i | ||||||||
\(735\) | −3.92588e45 | − | 8.36239e45i | −0.541177 | − | 1.15274i | ||||
\(736\) | 2.32748e45 | 0.313935 | ||||||||
\(737\) | −6.29099e45 | + | 3.63211e45i | −0.830308 | + | 0.479379i | ||||
\(738\) | −1.22713e46 | − | 9.41072e45i | −1.58485 | − | 1.21540i | ||||
\(739\) | −3.19116e45 | + | 5.52724e45i | −0.403308 | + | 0.698550i | −0.994123 | − | 0.108257i | \(-0.965473\pi\) |
0.590815 | + | 0.806807i | \(0.298806\pi\) | |||||||
\(740\) | −3.73186e45 | + | 2.15459e45i | −0.461549 | + | 0.266475i | ||||
\(741\) | 1.06393e45 | + | 1.21284e45i | 0.128772 | + | 0.146796i | ||||
\(742\) | −1.66775e46 | + | 1.25424e46i | −1.97546 | + | 1.48566i | ||||
\(743\) | 9.48736e45i | 1.09983i | 0.835222 | + | 0.549914i | \(0.185339\pi\) | ||||
−0.835222 | + | 0.549914i | \(0.814661\pi\) | |||||||
\(744\) | −2.46948e43 | − | 8.37896e42i | −0.00280180 | − | 0.000950655i | ||||
\(745\) | −5.76336e45 | + | 9.98244e45i | −0.639994 | + | 1.10850i | ||||
\(746\) | −5.11122e45 | − | 2.95096e45i | −0.555524 | − | 0.320732i | ||||
\(747\) | 2.74174e45 | + | 6.61400e45i | 0.291673 | + | 0.703615i | ||||
\(748\) | −2.05412e46 | −2.13894 | ||||||||
\(749\) | −3.38970e45 | + | 7.96451e45i | −0.345503 | + | 0.811801i | ||||
\(750\) | −4.51316e45 | − | 5.14485e45i | −0.450299 | − | 0.513325i | ||||
\(751\) | 4.39317e45 | + | 7.60920e45i | 0.429081 | + | 0.743190i | 0.996792 | − | 0.0800377i | \(-0.0255041\pi\) |
−0.567711 | + | 0.823228i | \(0.692171\pi\) | |||||||
\(752\) | −4.16944e45 | − | 2.40723e45i | −0.398650 | − | 0.230161i | ||||
\(753\) | 3.08002e45 | + | 1.54732e46i | 0.288292 | + | 1.44830i | ||||
\(754\) | −2.66591e45 | − | 4.61750e45i | −0.244289 | − | 0.423121i | ||||
\(755\) | − | 2.10066e46i | − | 1.88453i | ||||||
\(756\) | 7.49416e45 | + | 8.70694e45i | 0.658225 | + | 0.764745i | ||||
\(757\) | 9.67095e45 | 0.831639 | 0.415820 | − | 0.909447i | \(-0.363495\pi\) | ||||
0.415820 | + | 0.909447i | \(0.363495\pi\) | |||||||
\(758\) | 1.63580e46 | − | 9.44429e45i | 1.37728 | − | 0.795173i | ||||
\(759\) | 3.64036e45 | − | 7.24634e44i | 0.300107 | − | 0.0597379i | ||||
\(760\) | 2.65562e43 | − | 4.59967e43i | 0.00214362 | − | 0.00371287i | ||||
\(761\) | −2.80567e45 | + | 1.61985e45i | −0.221759 | + | 0.128033i | −0.606765 | − | 0.794882i | \(-0.707533\pi\) |
0.385005 | + | 0.922914i | \(0.374200\pi\) | |||||||
\(762\) | −1.13074e46 | + | 9.91909e45i | −0.875153 | + | 0.767701i | ||||
\(763\) | −2.79523e45 | − | 2.29463e46i | −0.211849 | − | 1.73908i | ||||
\(764\) | 7.79450e43i | 0.00578488i | ||||||||
\(765\) | 2.48375e46 | − | 1.02960e46i | 1.80520 | − | 0.748320i | ||||
\(766\) | −1.03587e46 | + | 1.79418e46i | −0.737303 | + | 1.27705i | ||||
\(767\) | −1.40257e46 | − | 8.09774e45i | −0.977685 | − | 0.564466i | ||||
\(768\) | −4.62063e45 | + | 1.36181e46i | −0.315443 | + | 0.929686i | ||||
\(769\) | 1.71272e46 | 1.14515 | 0.572577 | − | 0.819851i | \(-0.305944\pi\) | ||||
0.572577 | + | 0.819851i | \(0.305944\pi\) | |||||||
\(770\) | −1.49111e46 | + | 3.50353e46i | −0.976466 | + | 2.29432i | ||||
\(771\) | −1.78842e46 | + | 1.56883e46i | −1.14709 | + | 1.00625i | ||||
\(772\) | −9.29930e45 | − | 1.61069e46i | −0.584216 | − | 1.01189i | ||||
\(773\) | −3.94664e45 | − | 2.27859e45i | −0.242860 | − | 0.140215i | 0.373631 | − | 0.927578i | \(-0.378113\pi\) |
−0.616490 | + | 0.787362i | \(0.711446\pi\) | |||||||
\(774\) | 1.70051e46 | − | 2.21741e46i | 1.02500 | − | 1.33656i | ||||
\(775\) | 1.22012e45 | + | 2.11331e45i | 0.0720402 | + | 0.124777i | ||||
\(776\) | − | 4.00972e43i | − | 0.00231914i | ||||||
\(777\) | 7.16595e45 | + | 1.49662e45i | 0.406011 | + | 0.0847962i | ||||
\(778\) | 2.84094e46 | 1.57684 | ||||||||
\(779\) | 5.91824e45 | − | 3.41690e45i | 0.321805 | − | 0.185794i | ||||
\(780\) | 3.48694e45 | + | 1.75174e46i | 0.185751 | + | 0.933162i | ||||
\(781\) | 9.23704e45 | − | 1.59990e46i | 0.482077 | − | 0.834982i | ||||
\(782\) | 8.15999e45 | − | 4.71117e45i | 0.417236 | − | 0.240891i | ||||
\(783\) | −5.16562e45 | − | 7.72400e45i | −0.258782 | − | 0.386949i | ||||
\(784\) | 1.95976e46 | − | 4.84653e45i | 0.961933 | − | 0.237889i | ||||
\(785\) | 4.87387e46i | 2.34401i | ||||||||
\(786\) | 1.92182e46 | − | 5.66405e46i | 0.905631 | − | 2.66911i | ||||
\(787\) | −4.35992e45 | + | 7.55160e45i | −0.201318 | + | 0.348693i | −0.948953 | − | 0.315417i | \(-0.897856\pi\) |
0.747635 | + | 0.664109i | \(0.231189\pi\) | |||||||
\(788\) | 2.52020e46 | + | 1.45504e46i | 1.14029 | + | 0.658348i | ||||
\(789\) | 2.90179e46 | + | 9.84579e45i | 1.28657 | + | 0.436534i | ||||
\(790\) | −2.75506e46 | −1.19701 | ||||||||
\(791\) | −8.26891e45 | − | 1.09950e46i | −0.352066 | − | 0.468136i | ||||
\(792\) | 5.50545e43 | − | 4.19071e44i | 0.00229715 | − | 0.0174857i | ||||
\(793\) | −3.93445e45 | − | 6.81467e45i | −0.160884 | − | 0.278660i | ||||
\(794\) | −8.49719e45 | − | 4.90586e45i | −0.340524 | − | 0.196601i | ||||
\(795\) | −5.54545e46 | + | 1.10385e46i | −2.17802 | + | 0.433547i | ||||
\(796\) | −2.60230e45 | − | 4.50732e45i | −0.100172 | − | 0.173504i | ||||
\(797\) | 2.04803e46i | 0.772686i | 0.922355 | + | 0.386343i | \(0.126262\pi\) | ||||
−0.922355 | + | 0.386343i | \(0.873738\pi\) | |||||||
\(798\) | −9.60205e45 | + | 3.15759e45i | −0.355073 | + | 0.116764i | ||||
\(799\) | −1.96676e46 | −0.712856 | ||||||||
\(800\) | −2.14784e46 | + | 1.24006e46i | −0.763066 | + | 0.440556i | ||||
\(801\) | 1.54007e46 | − | 2.00820e46i | 0.536314 | − | 0.699336i | ||||
\(802\) | 2.13982e46 | − | 3.70628e46i | 0.730444 | − | 1.26517i | ||||
\(803\) | −3.00588e45 | + | 1.73544e45i | −0.100582 | + | 0.0580713i | ||||
\(804\) | −1.40783e46 | − | 1.60488e46i | −0.461801 | − | 0.526437i | ||||
\(805\) | −1.06074e45 | − | 8.70772e45i | −0.0341096 | − | 0.280008i | ||||
\(806\) | 7.71609e45i | 0.243241i | ||||||||
\(807\) | −4.75938e46 | − | 1.61486e46i | −1.47087 | − | 0.499067i | ||||
\(808\) | 3.64089e44 | − | 6.30621e44i | 0.0110313 | − | 0.0191067i | ||||
\(809\) | 2.64420e45 | + | 1.52663e45i | 0.0785448 | + | 0.0453479i | 0.538758 | − | 0.842461i | \(-0.318894\pi\) |
−0.460213 | + | 0.887808i | \(0.652227\pi\) | |||||||
\(810\) | 1.60739e46 | + | 5.98570e46i | 0.468124 | + | 1.74323i | ||||
\(811\) | 4.25779e46 | 1.21577 | 0.607883 | − | 0.794027i | \(-0.292019\pi\) | ||||
0.607883 | + | 0.794027i | \(0.292019\pi\) | |||||||
\(812\) | 1.66540e46 | − | 2.02874e45i | 0.466254 | − | 0.0567975i | ||||
\(813\) | 2.15822e46 | + | 2.46030e46i | 0.592445 | + | 0.675367i | ||||
\(814\) | −1.50865e46 | − | 2.61306e46i | −0.406068 | − | 0.703331i | ||||
\(815\) | −2.96579e46 | − | 1.71230e46i | −0.782741 | − | 0.451916i | ||||
\(816\) | 1.14707e46 | + | 5.76255e46i | 0.296856 | + | 1.49133i | ||||
\(817\) | 6.17430e45 | + | 1.06942e46i | 0.156688 | + | 0.271391i | ||||
\(818\) | − | 4.79735e46i | − | 1.19385i | ||||||
\(819\) | 1.54180e46 | − | 2.61340e46i | 0.376258 | − | 0.637769i | ||||
\(820\) | 7.56552e46 | 1.81058 | ||||||||
\(821\) | 4.31506e46 | − | 2.49130e46i | 1.01274 | − | 0.584704i | 0.100745 | − | 0.994912i | \(-0.467877\pi\) |
0.911992 | + | 0.410208i | \(0.134544\pi\) | |||||||
\(822\) | −6.68002e46 | + | 1.32969e46i | −1.53755 | + | 0.306057i | ||||
\(823\) | 9.60904e45 | − | 1.66434e46i | 0.216912 | − | 0.375702i | −0.736951 | − | 0.675947i | \(-0.763735\pi\) |
0.953862 | + | 0.300245i | \(0.0970683\pi\) | |||||||
\(824\) | −5.39385e44 | + | 3.11414e44i | −0.0119416 | + | 0.00689450i | ||||
\(825\) | −2.97332e46 | + | 2.60825e46i | −0.645622 | + | 0.566353i | ||||
\(826\) | 8.10930e46 | − | 6.09868e46i | 1.72704 | − | 1.29884i | ||||
\(827\) | 5.05942e45i | 0.105685i | 0.998603 | + | 0.0528424i | \(0.0168281\pi\) | ||||
−0.998603 | + | 0.0528424i | \(0.983172\pi\) | |||||||
\(828\) | 4.17727e45 | + | 1.00770e46i | 0.0855868 | + | 0.206464i | ||||
\(829\) | −1.08135e46 | + | 1.87295e46i | −0.217316 | + | 0.376403i | −0.953987 | − | 0.299849i | \(-0.903064\pi\) |
0.736670 | + | 0.676252i | \(0.236397\pi\) | |||||||
\(830\) | −6.03982e46 | − | 3.48709e46i | −1.19062 | − | 0.687407i | ||||
\(831\) | −1.60106e46 | + | 4.71870e46i | −0.309593 | + | 0.912443i | ||||
\(832\) | −3.97382e46 | −0.753764 | ||||||||
\(833\) | 5.94330e46 | − | 5.71751e46i | 1.10588 | − | 1.06387i | ||||
\(834\) | −5.11704e46 | + | 4.48877e46i | −0.934033 | + | 0.819352i | ||||
\(835\) | 4.75461e46 | + | 8.23523e46i | 0.851395 | + | 1.47466i | ||||
\(836\) | 1.81209e46 | + | 1.04621e46i | 0.318331 | + | 0.183788i | ||||
\(837\) | 8.85031e44 | + | 1.34182e46i | 0.0152528 | + | 0.231253i | ||||
\(838\) | 1.15373e46 | + | 1.99832e46i | 0.195074 | + | 0.337878i | ||||
\(839\) | − | 2.76373e46i | − | 0.458463i | −0.973372 | − | 0.229232i | \(-0.926379\pi\) | ||
0.973372 | − | 0.229232i | \(-0.0736214\pi\) | |||||||
\(840\) | −9.77805e44 | − | 2.04217e44i | −0.0159142 | − | 0.00332371i | ||||
\(841\) | 4.90530e46 | 0.783302 | ||||||||
\(842\) | 1.50294e47 | − | 8.67724e46i | 2.35477 | − | 1.35953i | ||||
\(843\) | −1.85436e46 | − | 9.31579e46i | −0.285070 | − | 1.43212i | ||||
\(844\) | 3.68173e46 | − | 6.37694e46i | 0.555357 | − | 0.961907i | ||||
\(845\) | −3.36554e46 | + | 1.94309e46i | −0.498135 | + | 0.287598i | ||||
\(846\) | 5.90518e45 | − | 4.49498e46i | 0.0857644 | − | 0.652832i | ||||
\(847\) | −5.86463e46 | − | 2.49599e46i | −0.835807 | − | 0.355720i | ||||
\(848\) | − | 1.23562e47i | − | 1.72803i | ||||||
\(849\) | −2.96166e46 | + | 8.72870e46i | −0.406454 | + | 1.19792i | ||||
\(850\) | −5.02013e46 | + | 8.69512e46i | −0.676102 | + | 1.17104i | ||||
\(851\) | 6.02001e45 | + | 3.47565e45i | 0.0795654 | + | 0.0459371i | ||||
\(852\) | 5.14141e46 | + | 1.74449e46i | 0.666882 | + | 0.226274i | ||||
\(853\) | −7.10988e46 | −0.905061 | −0.452531 | − | 0.891749i | \(-0.649479\pi\) | ||||
−0.452531 | + | 0.891749i | \(0.649479\pi\) | |||||||
\(854\) | 4.89378e46 | − | 5.96144e45i | 0.611391 | − | 0.0744775i | ||||
\(855\) | −2.71550e46 | − | 3.56744e45i | −0.332960 | − | 0.0437420i | ||||
\(856\) | 4.67973e44 | + | 8.10552e44i | 0.00563171 | + | 0.00975440i | ||||
\(857\) | −6.01605e45 | − | 3.47337e45i | −0.0710588 | − | 0.0410258i | 0.464050 | − | 0.885809i | \(-0.346396\pi\) |
−0.535108 | + | 0.844783i | \(0.679729\pi\) | |||||||
\(858\) | −1.22658e47 | + | 2.44157e46i | −1.42200 | + | 0.283056i | ||||
\(859\) | −3.70987e46 | − | 6.42568e46i | −0.422151 | − | 0.731187i | 0.573999 | − | 0.818856i | \(-0.305391\pi\) |
−0.996150 | + | 0.0876695i | \(0.972058\pi\) | |||||||
\(860\) | 1.36708e47i | 1.52693i | ||||||||
\(861\) | −9.58175e46 | − | 8.56610e46i | −1.05050 | − | 0.939145i | ||||
\(862\) | 1.99378e46 | 0.214566 | ||||||||
\(863\) | 5.73277e46 | − | 3.30982e46i | 0.605608 | − | 0.349648i | −0.165637 | − | 0.986187i | \(-0.552968\pi\) |
0.771245 | + | 0.636539i | \(0.219635\pi\) | |||||||
\(864\) | −1.36374e47 | + | 8.99492e45i | −1.41421 | + | 0.0932776i | ||||
\(865\) | 1.75379e46 | − | 3.03766e46i | 0.178534 | − | 0.309230i | ||||
\(866\) | −2.84088e46 | + | 1.64018e46i | −0.283901 | + | 0.163910i | ||||
\(867\) | 9.10660e46 | + | 1.03812e47i | 0.893410 | + | 1.01846i | ||||
\(868\) | −2.23403e46 | − | 9.50805e45i | −0.215166 | − | 0.0915748i | ||||
\(869\) | − | 9.68875e46i | − | 0.916118i | ||||||
\(870\) | 8.57133e46 | + | 2.90826e46i | 0.795684 | + | 0.269976i | ||||
\(871\) | −2.81940e46 | + | 4.88334e46i | −0.256960 | + | 0.445068i | ||||
\(872\) | −2.16462e45 | − | 1.24975e45i | −0.0193695 | − | 0.0111830i | ||||
\(873\) | −1.91007e46 | + | 7.91793e45i | −0.167812 | + | 0.0695639i | ||||
\(874\) | −9.59804e45 | −0.0827941 | ||||||||
\(875\) | −3.41877e46 | − | 4.54588e46i | −0.289562 | − | 0.385025i | ||||
\(876\) | −6.72672e45 | − | 7.66822e45i | −0.0559419 | − | 0.0637719i | ||||
\(877\) | −7.37522e46 | − | 1.27743e47i | −0.602256 | − | 1.04314i | −0.992479 | − | 0.122418i | \(-0.960935\pi\) |
0.390222 | − | 0.920721i | \(-0.372398\pi\) | |||||||
\(878\) | 1.56816e47 | + | 9.05379e46i | 1.25742 | + | 0.725969i | ||||
\(879\) | 2.52228e46 | + | 1.26712e47i | 0.198596 | + | 0.997693i | ||||
\(880\) | −1.12731e47 | − | 1.95255e47i | −0.871604 | − | 1.50966i | ||||
\(881\) | − | 1.69756e47i | − | 1.28888i | −0.764657 | − | 0.644438i | \(-0.777092\pi\) | ||
0.764657 | − | 0.644438i | \(-0.222908\pi\) | |||||||
\(882\) | 1.12828e47 | + | 1.53000e47i | 0.841237 | + | 1.14076i | ||||
\(883\) | 2.18356e47 | 1.59880 | 0.799398 | − | 0.600801i | \(-0.205152\pi\) | ||||
0.799398 | + | 0.600801i | \(0.205152\pi\) | |||||||
\(884\) | −1.38087e47 | + | 7.97246e46i | −0.992926 | + | 0.573266i | ||||
\(885\) | 2.69644e47 | − | 5.36740e46i | 1.90414 | − | 0.379028i | ||||
\(886\) | −7.58951e46 | + | 1.31454e47i | −0.526349 | + | 0.911664i | ||||
\(887\) | −7.94424e46 | + | 4.58661e46i | −0.541096 | + | 0.312402i | −0.745523 | − | 0.666480i | \(-0.767800\pi\) |
0.204427 | + | 0.978882i | \(0.434467\pi\) | |||||||
\(888\) | 5.95058e44 | − | 5.21997e44i | 0.00398063 | − | 0.00349189i | ||||
\(889\) | −9.99099e46 | + | 7.51382e46i | −0.656418 | + | 0.493666i | ||||
\(890\) | 2.46515e47i | 1.59075i | ||||||||
\(891\) | −2.10500e47 | + | 5.65274e46i | −1.33416 | + | 0.358274i | ||||
\(892\) | 1.13606e47 | − | 1.96771e47i | 0.707233 | − | 1.22496i | ||||
\(893\) | 1.73502e46 | + | 1.00171e46i | 0.106092 | + | 0.0612520i | ||||
\(894\) | 7.62142e46 | − | 2.24621e47i | 0.457757 | − | 1.34912i | ||||
\(895\) | 2.66000e47 | 1.56932 | ||||||||
\(896\) | 1.72530e45 | − | 4.05379e45i | 0.00999851 | − | 0.0234927i | ||||
\(897\) | 2.16597e46 | − | 1.90004e46i | 0.123303 | − | 0.108164i | ||||
\(898\) | 1.90393e47 | + | 3.29770e47i | 1.06471 | + | 1.84412i | ||||
\(899\) | 1.70076e46 | + | 9.81932e45i | 0.0934301 | + | 0.0539419i | ||||
\(900\) | −9.22377e46 | − | 7.07362e46i | −0.497770 | − | 0.381735i | ||||
\(901\) | −2.52382e47 | − | 4.37138e47i | −1.33802 | − | 2.31751i | ||||
\(902\) | 5.29741e47i | 2.75905i | ||||||||
\(903\) | 1.54789e47 | − | 1.73141e47i | 0.792017 | − | 0.885924i | ||||
\(904\) | −1.48757e45 | −0.00747794 | ||||||||
\(905\) | −4.95962e46 | + | 2.86344e46i | −0.244946 | + | 0.141420i | ||||
\(906\) | 8.43911e46 | + | 4.23958e47i | 0.409492 | + | 2.05718i | ||||
\(907\) | 1.24352e47 | − | 2.15383e47i | 0.592836 | − | 1.02682i | −0.401012 | − | 0.916073i | \(-0.631342\pi\) |
0.993848 | − | 0.110749i | \(-0.0353251\pi\) | |||||||
\(908\) | −2.03067e47 | + | 1.17241e47i | −0.951188 | + | 0.549169i | ||||
\(909\) | −3.72299e47 | − | 4.89100e46i | −1.71344 | − | 0.225100i | ||||
\(910\) | 3.57406e46 | + | 2.93397e47i | 0.161621 | + | 1.32676i | ||||
\(911\) | − | 1.72049e47i | − | 0.764465i | −0.924066 | − | 0.382232i | \(-0.875155\pi\) | ||
0.924066 | − | 0.382232i | \(-0.124845\pi\) | |||||||
\(912\) | 1.92309e46 | − | 5.66780e46i | 0.0839619 | − | 0.247456i | ||||
\(913\) | 1.22631e47 | − | 2.12403e47i | 0.526100 | − | 0.911232i | ||||
\(914\) | 3.64852e47 | + | 2.10648e47i | 1.53808 | + | 0.888009i | ||||
\(915\) | 1.26499e47 | + | 4.29212e46i | 0.524022 | + | 0.177801i | ||||
\(916\) | −1.39256e47 | −0.566876 | ||||||||
\(917\) | 1.94670e47 | − | 4.57400e47i | 0.778735 | − | 1.82973i | ||||
\(918\) | −4.59913e47 | + | 3.07578e47i | −1.80798 | + | 1.20913i | ||||
\(919\) | 5.27238e46 | + | 9.13203e46i | 0.203685 | + | 0.352792i | 0.949713 | − | 0.313122i | \(-0.101375\pi\) |
−0.746028 | + | 0.665914i | \(0.768042\pi\) | |||||||
\(920\) | −8.21439e44 | − | 4.74258e44i | −0.00311867 | − | 0.00180057i | ||||
\(921\) | −1.58795e47 | + | 3.16091e46i | −0.592494 | + | 0.117939i | ||||
\(922\) | 4.65076e45 | + | 8.05536e45i | 0.0170541 | + | 0.0295386i | ||||
\(923\) | − | 1.43404e47i | − | 0.516813i | ||||||
\(924\) | 8.04532e46 | − | 3.85216e47i | 0.284965 | − | 1.36443i | ||||
\(925\) | −7.40717e46 | −0.257860 | ||||||||
\(926\) | −4.92394e47 | + | 2.84284e47i | −1.68476 | + | 0.972694i | ||||
\(927\) | 2.54857e47 | + | 1.95447e47i | 0.857079 | + | 0.657286i | ||||
\(928\) | −9.97976e46 | + | 1.72855e47i | −0.329877 | + | 0.571365i | ||||
\(929\) | −1.47794e47 | + | 8.53287e46i | −0.480180 | + | 0.277232i | −0.720492 | − | 0.693464i | \(-0.756084\pi\) |
0.240311 | + | 0.970696i | \(0.422750\pi\) | |||||||
\(930\) | −8.63799e46 | − | 9.84701e46i | −0.275858 | − | 0.314469i | ||||
\(931\) | −8.15509e46 | + | 2.01678e46i | −0.255996 | + | 0.0633086i | ||||
\(932\) | 2.54390e47i | 0.784956i | ||||||||
\(933\) | 2.23768e47 | + | 7.59247e46i | 0.678722 | + | 0.230291i | ||||
\(934\) | −2.25498e47 | + | 3.90575e47i | −0.672347 | + | 1.16454i | ||||
\(935\) | −7.97638e47 | − | 4.60516e47i | −2.33787 | − | 1.34977i | ||||
\(936\) | −1.25640e45 | − | 3.03086e45i | −0.00362005 | − | 0.00873278i | ||||
\(937\) | −1.01358e46 | −0.0287094 | −0.0143547 | − | 0.999897i | \(-0.504569\pi\) | ||||
−0.0143547 | + | 0.999897i | \(0.504569\pi\) | |||||||
\(938\) | −2.12338e47 | − | 2.82342e47i | −0.591266 | − | 0.786195i | ||||
\(939\) | −2.19929e47 | − | 2.50711e47i | −0.602051 | − | 0.686317i | ||||
\(940\) | 1.10897e47 | + | 1.92080e47i | 0.298452 | + | 0.516935i | ||||
\(941\) | 5.40344e47 | + | 3.11968e47i | 1.42967 | + | 0.825422i | 0.997095 | − | 0.0761741i | \(-0.0242705\pi\) |
0.432579 | + | 0.901596i | \(0.357604\pi\) | |||||||
\(942\) | −1.95801e47 | − | 9.83653e47i | −0.509332 | − | 2.55875i | ||||
\(943\) | −6.10212e46 | − | 1.05692e47i | −0.156061 | − | 0.270305i | ||||
\(944\) | 6.00812e47i | 1.51073i | ||||||||
\(945\) | 9.58049e46 | + | 5.06114e47i | 0.236853 | + | 1.25124i | ||||
\(946\) | −9.57237e47 | −2.32681 | ||||||||
\(947\) | −1.81921e47 | + | 1.05032e47i | −0.434795 | + | 0.251029i | −0.701387 | − | 0.712780i | \(-0.747436\pi\) |
0.266592 | + | 0.963809i | \(0.414102\pi\) | |||||||
\(948\) | 2.79262e47 | − | 5.55885e46i | 0.656263 | − | 0.130633i | ||||
\(949\) | −1.34712e46 | + | 2.33329e46i | −0.0311278 | + | 0.0539149i | ||||
\(950\) | 8.85725e46 | − | 5.11374e46i | 0.201243 | − | 0.116188i | ||||
\(951\) | −1.63628e47 | + | 1.43538e47i | −0.365570 | + | 0.320685i | ||||
\(952\) | −1.07831e45 | − | 8.85194e45i | −0.00236894 | − | 0.0194468i | ||||
\(953\) | − | 5.79244e47i | − | 1.25134i | −0.780088 | − | 0.625670i | \(-0.784826\pi\) | ||
0.780088 | − | 0.625670i | \(-0.215174\pi\) | |||||||
\(954\) | 1.07485e48 | − | 4.45563e47i | 2.28335 | − | 0.946531i | ||||
\(955\) | −1.74747e45 | + | 3.02670e45i | −0.00365052 | + | 0.00632289i | ||||
\(956\) | 7.46640e47 | + | 4.31073e47i | 1.53386 | + | 0.885573i | ||||
\(957\) | −1.02275e47 | + | 3.01430e47i | −0.206624 | + | 0.608969i | ||||
\(958\) | 4.13150e47 | 0.820841 | ||||||||
\(959\) | −5.61920e47 | + | 6.84512e46i | −1.09794 | + | 0.133747i | ||||
\(960\) | 5.07126e47 | − | 4.44861e47i | 0.974487 | − | 0.854839i | ||||
\(961\) | 2.50362e47 | + | 4.33640e47i | 0.473145 | + | 0.819511i | ||||
\(962\) | −2.02837e47 | − | 1.17108e47i | −0.377004 | − | 0.217664i | ||||
\(963\) | 2.93705e47 | − | 3.82982e47i | 0.536897 | − | 0.700097i | ||||
\(964\) | 3.02517e47 | + | 5.23974e47i | 0.543897 | + | 0.942057i | ||||
\(965\) | − | 8.33932e47i | − | 1.47467i | ||||||
\(966\) | 5.63903e46 | + | 1.71480e47i | 0.0980777 | + | 0.298249i | ||||
\(967\) | −1.94517e47 | −0.332762 | −0.166381 | − | 0.986062i | \(-0.553208\pi\) | ||||
−0.166381 | + | 0.986062i | \(0.553208\pi\) | |||||||
\(968\) | −5.96846e45 | + | 3.44589e45i | −0.0100428 | + | 0.00579824i | ||||
\(969\) | −4.77326e46 | − | 2.39796e47i | −0.0790015 | − | 0.396882i | ||||
\(970\) | 1.00705e47 | − | 1.74425e47i | 0.163946 | − | 0.283963i | ||||
\(971\) | −1.93113e44 | + | 1.11494e44i | −0.000309246 | + | 0.000178543i | −0.500155 | − | 0.865936i | \(-0.666723\pi\) |
0.499845 | + | 0.866115i | \(0.333390\pi\) | |||||||
\(972\) | −2.83704e47 | − | 5.74299e47i | −0.446894 | − | 0.904644i | ||||
\(973\) | −4.52131e47 | + | 3.40029e47i | −0.700582 | + | 0.526879i | ||||
\(974\) | − | 5.50699e47i | − | 0.839404i | ||||||
\(975\) | −9.86483e46 | + | 2.90740e47i | −0.147916 | + | 0.435944i | ||||
\(976\) | −1.45958e47 | + | 2.52807e47i | −0.215294 | + | 0.372900i | ||||
\(977\) | 7.29620e47 | + | 4.21246e47i | 1.05873 | + | 0.611256i | 0.925080 | − | 0.379773i | \(-0.123998\pi\) |
0.133647 | + | 0.991029i | \(0.457331\pi\) | |||||||
\(978\) | 6.67350e47 | + | 2.26433e47i | 0.952648 | + | 0.323234i | ||||
\(979\) | −8.66922e47 | −1.21747 | ||||||||
\(980\) | −8.93509e47 | − | 2.58055e47i | −1.23447 | − | 0.356529i | ||||
\(981\) | −1.67885e47 | + | 1.27793e48i | −0.228196 | + | 1.73701i | ||||
\(982\) | −4.97517e47 | − | 8.61725e47i | −0.665310 | − | 1.15235i | ||||
\(983\) | −6.20974e47 | − | 3.58519e47i | −0.816990 | − | 0.471689i | 0.0323873 | − | 0.999475i | \(-0.489689\pi\) |
−0.849377 | + | 0.527786i | \(0.823022\pi\) | |||||||
\(984\) | −1.36299e46 | + | 2.71310e45i | −0.0176429 | + | 0.00351192i | ||||
\(985\) | 6.52417e47 | + | 1.13002e48i | 0.830894 | + | 1.43915i | ||||
\(986\) | 8.08023e47i | 1.01250i | ||||||||
\(987\) | 7.70316e46 | − | 3.68833e47i | 0.0949717 | − | 0.454732i | ||||
\(988\) | 1.62422e47 | 0.197031 | ||||||||
\(989\) | 1.90984e47 | − | 1.10265e47i | 0.227959 | − | 0.131612i | ||||
\(990\) | 1.29199e48 | − | 1.68471e48i | 1.51739 | − | 1.97862i | ||||
\(991\) | 3.75212e47 | − | 6.49887e47i | 0.433610 | − | 0.751034i | −0.563571 | − | 0.826067i | \(-0.690573\pi\) |
0.997181 | + | 0.0750336i | \(0.0239064\pi\) | |||||||
\(992\) | 2.50151e47 | − | 1.44425e47i | 0.284456 | − | 0.164231i | ||||
\(993\) | 6.90224e47 | + | 7.86831e47i | 0.772328 | + | 0.880427i | ||||
\(994\) | 8.26684e47 | + | 3.51837e47i | 0.910243 | + | 0.387400i | ||||
\(995\) | − | 2.33366e47i | − | 0.252853i | ||||||
\(996\) | 6.82576e47 | + | 2.31599e47i | 0.727782 | + | 0.246937i | ||||
\(997\) | 8.26799e47 | − | 1.43206e48i | 0.867515 | − | 1.50258i | 0.00298761 | − | 0.999996i | \(-0.499049\pi\) |
0.864528 | − | 0.502585i | \(-0.167618\pi\) | |||||||
\(998\) | −7.76879e47 | − | 4.48531e47i | −0.802167 | − | 0.463131i | ||||
\(999\) | −3.66164e47 | − | 1.80384e47i | −0.372073 | − | 0.183295i |
(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 | 21.33.h.b.11.15 | yes | 164 | |
3.2 | odd | 2 | inner | 21.33.h.b.11.68 | yes | 164 | |
7.2 | even | 3 | inner | 21.33.h.b.2.68 | yes | 164 | |
21.2 | odd | 6 | inner | 21.33.h.b.2.15 | ✓ | 164 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.33.h.b.2.15 | ✓ | 164 | 21.2 | odd | 6 | inner | |
21.33.h.b.2.68 | yes | 164 | 7.2 | even | 3 | inner | |
21.33.h.b.11.15 | yes | 164 | 1.1 | even | 1 | trivial | |
21.33.h.b.11.68 | yes | 164 | 3.2 | odd | 2 | inner |