Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [9,76,Mod(4,9)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(9, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 76, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("9.4");
S:= CuspForms(chi, 76);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 9 = 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 76 \) |
Character orbit: | \([\chi]\) | \(=\) | 9.c (of order \(3\), 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: | \(320.605553540\) |
Analytic rank: | \(0\) |
Dimension: | \(148\) |
Relative dimension: | \(74\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 4.63 | ||
Character | \(\chi\) | \(=\) | 9.4 |
Dual form | 9.76.c.a.7.63 |
$q$-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 \(\left(\mathbb{Z}/9\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.42120e11 | + | 2.46159e11i | 0.731191 | + | 1.26646i | 0.956375 | + | 0.292143i | \(0.0943684\pi\) |
−0.225184 | + | 0.974316i | \(0.572298\pi\) | |||||||
\(3\) | 5.28418e17 | − | 5.73621e17i | 0.677534 | − | 0.735492i | ||||
\(4\) | −2.15068e22 | + | 3.72508e22i | −0.569280 | + | 0.986021i | ||||
\(5\) | 4.18108e25 | − | 7.24184e25i | 0.256988 | − | 0.445116i | −0.708446 | − | 0.705766i | \(-0.750603\pi\) |
0.965434 | + | 0.260649i | \(0.0839365\pi\) | |||||||
\(6\) | 2.16301e29 | + | 4.85521e28i | 1.42688 | + | 0.320284i | ||||
\(7\) | −1.54233e31 | − | 2.67140e31i | −0.314052 | − | 0.543953i | 0.665184 | − | 0.746680i | \(-0.268353\pi\) |
−0.979235 | + | 0.202726i | \(0.935020\pi\) | |||||||
\(8\) | −1.48789e33 | −0.202627 | ||||||||
\(9\) | −4.98146e34 | − | 6.06224e35i | −0.0818960 | − | 0.996641i | ||||
\(10\) | 2.37686e37 | 0.751629 | ||||||||
\(11\) | −3.70902e38 | − | 6.42421e38i | −0.328877 | − | 0.569632i | 0.653412 | − | 0.757002i | \(-0.273337\pi\) |
−0.982289 | + | 0.187371i | \(0.940003\pi\) | |||||||
\(12\) | 1.00033e40 | + | 3.20208e40i | 0.339504 | + | 1.08676i | ||||
\(13\) | −1.48457e41 | + | 2.57135e41i | −0.250452 | + | 0.433796i | −0.963650 | − | 0.267167i | \(-0.913913\pi\) |
0.713198 | + | 0.700962i | \(0.247246\pi\) | |||||||
\(14\) | 4.38392e42 | − | 7.59318e42i | 0.459263 | − | 0.795467i | ||||
\(15\) | −1.94471e43 | − | 6.22507e43i | −0.153261 | − | 0.490594i | ||||
\(16\) | 6.01044e44 | + | 1.04104e45i | 0.421121 | + | 0.729403i | ||||
\(17\) | −2.13448e46 | −1.53978 | −0.769889 | − | 0.638178i | \(-0.779688\pi\) | ||||
−0.769889 | + | 0.638178i | \(0.779688\pi\) | |||||||
\(18\) | 1.42148e47 | − | 9.84189e46i | 1.20232 | − | 0.832453i | ||||
\(19\) | −3.60644e47 | −0.401623 | −0.200811 | − | 0.979630i | \(-0.564358\pi\) | ||||
−0.200811 | + | 0.979630i | \(0.564358\pi\) | |||||||
\(20\) | 1.79843e48 | + | 3.11497e48i | 0.292596 | + | 0.506792i | ||||
\(21\) | −2.34736e49 | − | 5.26902e48i | −0.612854 | − | 0.137564i | ||||
\(22\) | 1.05425e50 | − | 1.82602e50i | 0.480944 | − | 0.833019i | ||||
\(23\) | −1.05304e50 | + | 1.82392e50i | −0.0907091 | + | 0.157113i | −0.907810 | − | 0.419382i | \(-0.862247\pi\) |
0.817101 | + | 0.576495i | \(0.195580\pi\) | |||||||
\(24\) | −7.86229e50 | + | 8.53485e50i | −0.137286 | + | 0.149030i | ||||
\(25\) | 9.73861e51 | + | 1.68678e52i | 0.367914 | + | 0.637246i | ||||
\(26\) | −8.43948e52 | −0.732513 | ||||||||
\(27\) | −3.74065e53 | − | 2.91765e53i | −0.788508 | − | 0.615024i | ||||
\(28\) | 1.32682e54 | 0.715133 | ||||||||
\(29\) | 6.46170e54 | + | 1.11920e55i | 0.934162 | + | 1.61802i | 0.776122 | + | 0.630583i | \(0.217184\pi\) |
0.158039 | + | 0.987433i | \(0.449483\pi\) | |||||||
\(30\) | 1.25598e55 | − | 1.36342e55i | 0.509254 | − | 0.552817i | ||||
\(31\) | 1.46028e55 | − | 2.52928e55i | 0.173130 | − | 0.299870i | −0.766383 | − | 0.642385i | \(-0.777945\pi\) |
0.939513 | + | 0.342514i | \(0.111279\pi\) | |||||||
\(32\) | −1.98946e56 | + | 3.44585e56i | −0.717153 | + | 1.24215i | ||||
\(33\) | −5.64497e56 | − | 1.26710e56i | −0.641785 | − | 0.144058i | ||||
\(34\) | −3.03353e57 | − | 5.25422e57i | −1.12587 | − | 1.95007i | ||||
\(35\) | −2.57944e57 | −0.322830 | ||||||||
\(36\) | 2.36537e58 | + | 1.11823e58i | 1.02933 | + | 0.486616i | ||||
\(37\) | −7.59616e58 | −1.18312 | −0.591561 | − | 0.806260i | \(-0.701488\pi\) | ||||
−0.591561 | + | 0.806260i | \(0.701488\pi\) | |||||||
\(38\) | −5.12547e58 | − | 8.87758e58i | −0.293663 | − | 0.508639i | ||||
\(39\) | 6.90505e58 | + | 2.21033e59i | 0.149363 | + | 0.478117i | ||||
\(40\) | −6.22098e58 | + | 1.07751e59i | −0.0520726 | + | 0.0901924i | ||||
\(41\) | 6.61970e59 | − | 1.14656e60i | 0.219504 | − | 0.380193i | −0.735152 | − | 0.677902i | \(-0.762889\pi\) |
0.954657 | + | 0.297709i | \(0.0962226\pi\) | |||||||
\(42\) | −2.03906e60 | − | 6.52709e60i | −0.273893 | − | 0.876740i | ||||
\(43\) | −4.32187e60 | − | 7.48570e60i | −0.240218 | − | 0.416069i | 0.720559 | − | 0.693394i | \(-0.243885\pi\) |
−0.960776 | + | 0.277325i | \(0.910552\pi\) | |||||||
\(44\) | 3.19076e61 | 0.748892 | ||||||||
\(45\) | −4.59845e61 | − | 2.17392e61i | −0.464668 | − | 0.219672i | ||||
\(46\) | −5.98633e61 | −0.265303 | ||||||||
\(47\) | 8.16740e60 | + | 1.41464e61i | 0.0161590 | + | 0.0279882i | 0.873992 | − | 0.485941i | \(-0.161523\pi\) |
−0.857833 | + | 0.513929i | \(0.828190\pi\) | |||||||
\(48\) | 9.14764e62 | + | 2.05333e62i | 0.821793 | + | 0.184464i | ||||
\(49\) | 7.30176e62 | − | 1.26470e63i | 0.302743 | − | 0.524366i | ||||
\(50\) | −2.76810e63 | + | 4.79450e63i | −0.538031 | + | 0.931897i | ||||
\(51\) | −1.12790e64 | + | 1.22438e64i | −1.04325 | + | 1.13249i | ||||
\(52\) | −6.38566e63 | − | 1.10603e64i | −0.285155 | − | 0.493902i | ||||
\(53\) | −9.15073e63 | −0.200037 | −0.100019 | − | 0.994986i | \(-0.531890\pi\) | ||||
−0.100019 | + | 0.994986i | \(0.531890\pi\) | |||||||
\(54\) | 1.86584e64 | − | 1.33545e65i | 0.202353 | − | 1.44831i | ||||
\(55\) | −6.20308e64 | −0.338070 | ||||||||
\(56\) | 2.29482e64 | + | 3.97474e64i | 0.0636352 | + | 0.110219i | ||||
\(57\) | −1.90571e65 | + | 2.06873e65i | −0.272113 | + | 0.295390i | ||||
\(58\) | −1.83668e66 | + | 3.18122e66i | −1.36610 | + | 2.36616i | ||||
\(59\) | −1.31344e66 | + | 2.27494e66i | −0.514588 | + | 0.891292i | 0.485269 | + | 0.874365i | \(0.338722\pi\) |
−0.999857 | + | 0.0169271i | \(0.994612\pi\) | |||||||
\(60\) | 2.73714e66 | + | 6.14392e65i | 0.570985 | + | 0.128166i | ||||
\(61\) | 2.50328e66 | + | 4.33581e66i | 0.280958 | + | 0.486633i | 0.971621 | − | 0.236543i | \(-0.0760145\pi\) |
−0.690663 | + | 0.723177i | \(0.742681\pi\) | |||||||
\(62\) | 8.30140e66 | 0.506364 | ||||||||
\(63\) | −1.54263e67 | + | 1.06807e67i | −0.516407 | + | 0.357544i | ||||
\(64\) | −6.76835e67 | −1.25526 | ||||||||
\(65\) | 1.24142e67 | + | 2.15020e67i | 0.128726 | + | 0.222961i | ||||
\(66\) | −4.90356e67 | − | 1.56964e68i | −0.286823 | − | 0.918128i | ||||
\(67\) | −1.18873e68 | + | 2.05894e68i | −0.395620 | + | 0.685233i | −0.993180 | − | 0.116591i | \(-0.962803\pi\) |
0.597560 | + | 0.801824i | \(0.296137\pi\) | |||||||
\(68\) | 4.59058e68 | − | 7.95112e68i | 0.876564 | − | 1.51825i | ||||
\(69\) | 4.89792e67 | + | 1.56784e68i | 0.0540967 | + | 0.173165i | ||||
\(70\) | −3.66591e68 | − | 6.34953e68i | −0.236050 | − | 0.408851i | ||||
\(71\) | −1.50989e69 | −0.571160 | −0.285580 | − | 0.958355i | \(-0.592186\pi\) | ||||
−0.285580 | + | 0.958355i | \(0.592186\pi\) | |||||||
\(72\) | 7.41187e67 | + | 9.01994e68i | 0.0165943 | + | 0.201946i | ||||
\(73\) | 1.03041e70 | 1.37532 | 0.687661 | − | 0.726032i | \(-0.258637\pi\) | ||||
0.687661 | + | 0.726032i | \(0.258637\pi\) | |||||||
\(74\) | −1.07957e70 | − | 1.86987e70i | −0.865088 | − | 1.49838i | ||||
\(75\) | 1.48218e70 | + | 3.32697e69i | 0.717964 | + | 0.161158i | ||||
\(76\) | 7.75628e69 | − | 1.34343e70i | 0.228636 | − | 0.396009i | ||||
\(77\) | −1.14411e70 | + | 1.98165e70i | −0.206569 | + | 0.357787i | ||||
\(78\) | −4.45958e70 | + | 4.84106e70i | −0.496302 | + | 0.538757i | ||||
\(79\) | 1.11271e71 | + | 1.92726e71i | 0.768005 | + | 1.33022i | 0.938643 | + | 0.344890i | \(0.112084\pi\) |
−0.170638 | + | 0.985334i | \(0.554583\pi\) | |||||||
\(80\) | 1.00520e71 | 0.432892 | ||||||||
\(81\) | −3.65025e71 | + | 6.03976e70i | −0.986586 | + | 0.163242i | ||||
\(82\) | 3.76317e71 | 0.641998 | ||||||||
\(83\) | 4.25585e71 | + | 7.37135e71i | 0.460848 | + | 0.798213i | 0.999003 | − | 0.0446330i | \(-0.0142119\pi\) |
−0.538155 | + | 0.842846i | \(0.680879\pi\) | |||||||
\(84\) | 7.01118e71 | − | 7.61093e71i | 0.484527 | − | 0.525974i | ||||
\(85\) | −8.92443e71 | + | 1.54576e72i | −0.395705 | + | 0.685380i | ||||
\(86\) | 1.22845e72 | − | 2.12774e72i | 0.351290 | − | 0.608452i | ||||
\(87\) | 9.83444e72 | + | 2.20749e72i | 1.82296 | + | 0.409192i | ||||
\(88\) | 5.51861e71 | + | 9.55852e71i | 0.0666392 | + | 0.115423i | ||||
\(89\) | 1.98325e73 | 1.56766 | 0.783830 | − | 0.620975i | \(-0.213263\pi\) | ||||
0.783830 | + | 0.620975i | \(0.213263\pi\) | |||||||
\(90\) | −1.18402e72 | − | 1.44091e73i | −0.0615554 | − | 0.749104i | ||||
\(91\) | 9.15879e72 | 0.314620 | ||||||||
\(92\) | −4.52950e72 | − | 7.84532e72i | −0.103278 | − | 0.178882i | ||||
\(93\) | −6.79208e72 | − | 2.17416e73i | −0.103250 | − | 0.330508i | ||||
\(94\) | −2.32150e72 | + | 4.02096e72i | −0.0236306 | + | 0.0409294i | ||||
\(95\) | −1.50788e73 | + | 2.61172e73i | −0.103212 | + | 0.178769i | ||||
\(96\) | 9.25342e73 | + | 2.96205e74i | 0.427692 | + | 1.36906i | ||||
\(97\) | −1.57693e73 | − | 2.73132e73i | −0.0494165 | − | 0.0855919i | 0.840259 | − | 0.542185i | \(-0.182403\pi\) |
−0.889676 | + | 0.456593i | \(0.849070\pi\) | |||||||
\(98\) | 4.15090e74 | 0.885452 | ||||||||
\(99\) | −3.70974e74 | + | 2.56851e74i | −0.540784 | + | 0.374423i | ||||
\(100\) | −8.37784e74 | −0.837784 | ||||||||
\(101\) | −5.30416e74 | − | 9.18708e74i | −0.365229 | − | 0.632595i | 0.623584 | − | 0.781757i | \(-0.285676\pi\) |
−0.988813 | + | 0.149161i | \(0.952343\pi\) | |||||||
\(102\) | −4.61690e75 | − | 1.03633e75i | −2.19707 | − | 0.493167i | ||||
\(103\) | −4.34180e74 | + | 7.52021e74i | −0.143309 | + | 0.248218i | −0.928741 | − | 0.370730i | \(-0.879108\pi\) |
0.785432 | + | 0.618948i | \(0.212441\pi\) | |||||||
\(104\) | 2.20888e74 | − | 3.82589e74i | 0.0507483 | − | 0.0878986i | ||||
\(105\) | −1.36302e75 | + | 1.47962e75i | −0.218728 | + | 0.237439i | ||||
\(106\) | −1.30050e75 | − | 2.25254e75i | −0.146265 | − | 0.253339i | ||||
\(107\) | 4.04216e74 | 0.0319685 | 0.0159842 | − | 0.999872i | \(-0.494912\pi\) | ||||
0.0159842 | + | 0.999872i | \(0.494912\pi\) | |||||||
\(108\) | 1.89134e76 | − | 7.65932e75i | 1.05531 | − | 0.427365i | ||||
\(109\) | −4.53458e76 | −1.79079 | −0.895393 | − | 0.445277i | \(-0.853105\pi\) | ||||
−0.895393 | + | 0.445277i | \(0.853105\pi\) | |||||||
\(110\) | −8.81582e75 | − | 1.52695e76i | −0.247194 | − | 0.428152i | ||||
\(111\) | −4.01395e76 | + | 4.35732e76i | −0.801605 | + | 0.870177i | ||||
\(112\) | 1.85402e76 | − | 3.21125e76i | 0.264507 | − | 0.458140i | ||||
\(113\) | 2.29034e76 | − | 3.96698e76i | 0.234130 | − | 0.405526i | −0.724889 | − | 0.688865i | \(-0.758109\pi\) |
0.959020 | + | 0.283340i | \(0.0914424\pi\) | |||||||
\(114\) | −7.80075e76 | − | 1.75100e76i | −0.573066 | − | 0.128633i | ||||
\(115\) | 8.80568e75 | + | 1.52519e76i | 0.0466223 | + | 0.0807523i | ||||
\(116\) | −5.55882e77 | −2.12720 | ||||||||
\(117\) | 1.63277e77 | + | 7.71890e76i | 0.452850 | + | 0.214085i | ||||
\(118\) | −7.46664e77 | −1.50505 | ||||||||
\(119\) | 3.29208e77 | + | 5.70205e77i | 0.483570 | + | 0.837567i | ||||
\(120\) | 2.89352e76 | + | 9.26223e76i | 0.0310548 | + | 0.0994074i | ||||
\(121\) | 3.60811e77 | − | 6.24943e77i | 0.283680 | − | 0.491348i | ||||
\(122\) | −7.11534e77 | + | 1.23241e78i | −0.410868 | + | 0.711644i | ||||
\(123\) | −3.07896e77 | − | 9.85585e77i | −0.130907 | − | 0.419037i | ||||
\(124\) | 6.28118e77 | + | 1.08793e78i | 0.197119 | + | 0.341420i | ||||
\(125\) | 3.84216e78 | 0.892175 | ||||||||
\(126\) | −4.82155e78 | − | 2.27939e78i | −0.830407 | − | 0.392575i | ||||
\(127\) | 4.68391e78 | 0.599748 | 0.299874 | − | 0.953979i | \(-0.403055\pi\) | ||||
0.299874 | + | 0.953979i | \(0.403055\pi\) | |||||||
\(128\) | −2.10320e78 | − | 3.64285e78i | −0.200681 | − | 0.347591i | ||||
\(129\) | −6.57771e78 | − | 1.47647e78i | −0.468771 | − | 0.105223i | ||||
\(130\) | −3.52861e78 | + | 6.11174e78i | −0.188247 | + | 0.326054i | ||||
\(131\) | 3.03605e78 | − | 5.25859e78i | 0.121516 | − | 0.210473i | −0.798849 | − | 0.601531i | \(-0.794558\pi\) |
0.920366 | + | 0.391058i | \(0.127891\pi\) | |||||||
\(132\) | 1.68606e79 | − | 1.83029e79i | 0.507400 | − | 0.550804i | ||||
\(133\) | 5.56232e78 | + | 9.63422e78i | 0.126130 | + | 0.218464i | ||||
\(134\) | −6.75769e79 | −1.15709 | ||||||||
\(135\) | −3.67691e79 | + | 1.48903e79i | −0.476395 | + | 0.192924i | ||||
\(136\) | 3.17588e79 | 0.312000 | ||||||||
\(137\) | 8.13348e79 | + | 1.40876e80i | 0.607093 | + | 1.05152i | 0.991717 | + | 0.128442i | \(0.0409977\pi\) |
−0.384624 | + | 0.923073i | \(0.625669\pi\) | |||||||
\(138\) | −3.16328e79 | + | 3.43388e79i | −0.179752 | + | 0.195128i | ||||
\(139\) | −7.56339e79 | + | 1.31002e80i | −0.327840 | + | 0.567835i | −0.982083 | − | 0.188449i | \(-0.939654\pi\) |
0.654243 | + | 0.756284i | \(0.272987\pi\) | |||||||
\(140\) | 5.54755e79 | − | 9.60864e79i | 0.183781 | − | 0.318317i | ||||
\(141\) | 1.24304e79 | + | 2.79020e78i | 0.0315333 | + | 0.00707814i | ||||
\(142\) | −2.14586e80 | − | 3.71674e80i | −0.417627 | − | 0.723351i | ||||
\(143\) | 2.20252e80 | 0.329472 | ||||||||
\(144\) | 6.01161e80 | − | 4.16226e80i | 0.692465 | − | 0.479442i | ||||
\(145\) | 1.08068e81 | 0.960274 | ||||||||
\(146\) | 1.46443e81 | + | 2.53646e81i | 1.00562 | + | 1.74179i | ||||
\(147\) | −3.39621e80 | − | 1.08714e81i | −0.180548 | − | 0.577941i | ||||
\(148\) | 1.63369e81 | − | 2.82963e81i | 0.673527 | − | 1.16658i | ||||
\(149\) | 1.12111e81 | − | 1.94182e81i | 0.359057 | − | 0.621905i | −0.628747 | − | 0.777610i | \(-0.716432\pi\) |
0.987804 | + | 0.155705i | \(0.0497650\pi\) | |||||||
\(150\) | 1.28751e81 | + | 4.12134e81i | 0.320868 | + | 1.02711i | ||||
\(151\) | 4.54791e81 | + | 7.87721e81i | 0.883439 | + | 1.53016i | 0.847493 | + | 0.530807i | \(0.178111\pi\) |
0.0359463 | + | 0.999354i | \(0.488555\pi\) | |||||||
\(152\) | 5.36598e80 | 0.0813794 | ||||||||
\(153\) | 1.06328e81 | + | 1.29397e82i | 0.126102 | + | 1.53461i | ||||
\(154\) | −6.50402e81 | −0.604164 | ||||||||
\(155\) | −1.22111e81 | − | 2.11502e81i | −0.0889847 | − | 0.154126i | ||||
\(156\) | −9.71871e81 | − | 2.18151e81i | −0.556463 | − | 0.124907i | ||||
\(157\) | 7.58942e81 | − | 1.31453e82i | 0.341957 | − | 0.592287i | −0.642839 | − | 0.766001i | \(-0.722244\pi\) |
0.984796 | + | 0.173714i | \(0.0555770\pi\) | |||||||
\(158\) | −3.16276e82 | + | 5.47805e82i | −1.12312 | + | 1.94529i | ||||
\(159\) | −4.83542e81 | + | 5.24905e81i | −0.135532 | + | 0.147126i | ||||
\(160\) | 1.66362e82 | + | 2.88147e82i | 0.368599 | + | 0.638433i | ||||
\(161\) | 6.49654e81 | 0.113949 | ||||||||
\(162\) | −6.67449e82 | − | 8.12707e82i | −0.928122 | − | 1.13011i | ||||
\(163\) | −2.06424e82 | −0.227889 | −0.113945 | − | 0.993487i | \(-0.536349\pi\) | ||||
−0.113945 | + | 0.993487i | \(0.536349\pi\) | |||||||
\(164\) | 2.84737e82 | + | 4.93178e82i | 0.249919 | + | 0.432872i | ||||
\(165\) | −3.27782e82 | + | 3.55821e82i | −0.229054 | + | 0.248648i | ||||
\(166\) | −1.20968e83 | + | 2.09523e83i | −0.673936 | + | 1.16729i | ||||
\(167\) | −3.93774e81 | + | 6.82037e81i | −0.0175138 | + | 0.0303348i | −0.874649 | − | 0.484756i | \(-0.838908\pi\) |
0.857136 | + | 0.515091i | \(0.172242\pi\) | |||||||
\(168\) | 3.49262e82 | + | 7.83972e81i | 0.124180 | + | 0.0278742i | ||||
\(169\) | 1.31601e83 | + | 2.27939e83i | 0.374547 | + | 0.648735i | ||||
\(170\) | −5.07337e83 | −1.15734 | ||||||||
\(171\) | 1.79653e82 | + | 2.18631e83i | 0.0328913 | + | 0.400274i | ||||
\(172\) | 3.71798e83 | 0.547004 | ||||||||
\(173\) | 7.97350e83 | + | 1.38105e84i | 0.943887 | + | 1.63486i | 0.757965 | + | 0.652296i | \(0.226194\pi\) |
0.185922 | + | 0.982564i | \(0.440473\pi\) | |||||||
\(174\) | 8.54278e83 | + | 2.73457e84i | 0.814708 | + | 2.60791i | ||||
\(175\) | 3.00403e83 | − | 5.20313e83i | 0.231088 | − | 0.400256i | ||||
\(176\) | 4.45857e83 | − | 7.72247e83i | 0.276994 | − | 0.479768i | ||||
\(177\) | 6.10909e83 | + | 1.95554e84i | 0.306887 | + | 0.982355i | ||||
\(178\) | 2.81860e84 | + | 4.88195e84i | 1.14626 | + | 1.98538i | ||||
\(179\) | 4.26697e84 | 1.40647 | 0.703236 | − | 0.710956i | \(-0.251738\pi\) | ||||
0.703236 | + | 0.710956i | \(0.251738\pi\) | |||||||
\(180\) | 1.79878e84 | − | 1.24542e84i | 0.481127 | − | 0.333118i | ||||
\(181\) | −4.94434e84 | −1.07439 | −0.537195 | − | 0.843458i | \(-0.680516\pi\) | ||||
−0.537195 | + | 0.843458i | \(0.680516\pi\) | |||||||
\(182\) | 1.30165e84 | + | 2.25452e84i | 0.230047 | + | 0.398453i | ||||
\(183\) | 3.80989e84 | + | 8.55189e83i | 0.548273 | + | 0.123068i | ||||
\(184\) | 1.56681e83 | − | 2.71379e83i | 0.0183801 | − | 0.0318352i | ||||
\(185\) | −3.17601e84 | + | 5.50102e84i | −0.304048 | + | 0.526627i | ||||
\(186\) | 4.38661e84 | − | 4.76186e84i | 0.343079 | − | 0.372427i | ||||
\(187\) | 7.91684e84 | + | 1.37124e85i | 0.506397 | + | 0.877106i | ||||
\(188\) | −7.02618e83 | −0.0367959 | ||||||||
\(189\) | −2.02487e84 | + | 1.44927e85i | −0.0869120 | + | 0.622061i | ||||
\(190\) | −8.57200e84 | −0.301871 | ||||||||
\(191\) | −3.49807e84 | − | 6.05883e84i | −0.101176 | − | 0.175242i | 0.810994 | − | 0.585055i | \(-0.198927\pi\) |
−0.912169 | + | 0.409813i | \(0.865594\pi\) | |||||||
\(192\) | −3.57652e85 | + | 3.88246e85i | −0.850481 | + | 0.923233i | ||||
\(193\) | −2.17092e85 | + | 3.76015e85i | −0.424859 | + | 0.735878i | −0.996407 | − | 0.0846906i | \(-0.973010\pi\) |
0.571548 | + | 0.820569i | \(0.306343\pi\) | |||||||
\(194\) | 4.48227e84 | − | 7.76351e84i | 0.0722658 | − | 0.125168i | ||||
\(195\) | 1.88939e85 | + | 4.24102e84i | 0.251202 | + | 0.0563862i | ||||
\(196\) | 3.14074e85 | + | 5.43993e85i | 0.344691 | + | 0.597022i | ||||
\(197\) | −1.08414e86 | −0.983105 | −0.491553 | − | 0.870848i | \(-0.663570\pi\) | ||||
−0.491553 | + | 0.870848i | \(0.663570\pi\) | |||||||
\(198\) | −1.15949e86 | − | 5.48150e85i | −0.869608 | − | 0.411107i | ||||
\(199\) | 1.01127e86 | 0.627879 | 0.313939 | − | 0.949443i | \(-0.398351\pi\) | ||||
0.313939 | + | 0.949443i | \(0.398351\pi\) | |||||||
\(200\) | −1.44900e85 | − | 2.50974e85i | −0.0745492 | − | 0.129123i | ||||
\(201\) | 5.52904e85 | + | 1.76986e86i | 0.235938 | + | 0.755244i | ||||
\(202\) | 1.50766e86 | − | 2.61134e86i | 0.534104 | − | 0.925096i | ||||
\(203\) | 1.99322e86 | − | 3.45235e86i | 0.586750 | − | 1.01628i | ||||
\(204\) | −2.13518e86 | − | 6.83477e86i | −0.522761 | − | 1.67337i | ||||
\(205\) | −5.53549e85 | − | 9.58775e85i | −0.112820 | − | 0.195410i | ||||
\(206\) | −2.46823e86 | −0.419145 | ||||||||
\(207\) | 1.15816e86 | + | 5.47520e85i | 0.164014 | + | 0.0775375i | ||||
\(208\) | −3.56917e86 | −0.421883 | ||||||||
\(209\) | 1.33763e86 | + | 2.31685e86i | 0.132084 | + | 0.228777i | ||||
\(210\) | −5.57936e86 | − | 1.25237e86i | −0.460639 | − | 0.103397i | ||||
\(211\) | 8.44808e86 | − | 1.46325e87i | 0.583668 | − | 1.01094i | −0.411372 | − | 0.911467i | \(-0.634950\pi\) |
0.995040 | − | 0.0994748i | \(-0.0317163\pi\) | |||||||
\(212\) | 1.96803e86 | − | 3.40872e86i | 0.113877 | − | 0.197241i | ||||
\(213\) | −7.97855e86 | + | 8.66105e86i | −0.386980 | + | 0.420083i | ||||
\(214\) | 5.74472e85 | + | 9.95015e85i | 0.0233750 | + | 0.0404868i | ||||
\(215\) | −7.22803e86 | −0.246932 | ||||||||
\(216\) | 5.56568e86 | + | 4.34114e86i | 0.159773 | + | 0.124620i | ||||
\(217\) | −9.00894e86 | −0.217487 | ||||||||
\(218\) | −6.44455e87 | − | 1.11623e88i | −1.30941 | − | 2.26796i | ||||
\(219\) | 5.44490e87 | − | 5.91067e87i | 0.931828 | − | 1.01154i | ||||
\(220\) | 1.33408e87 | − | 2.31070e87i | 0.192456 | − | 0.333344i | ||||
\(221\) | 3.16879e87 | − | 5.48850e87i | 0.385641 | − | 0.667949i | ||||
\(222\) | −1.64306e88 | − | 3.68809e87i | −1.68817 | − | 0.378936i | ||||
\(223\) | 4.51233e87 | + | 7.81558e87i | 0.391713 | + | 0.678468i | 0.992676 | − | 0.120810i | \(-0.0385491\pi\) |
−0.600962 | + | 0.799277i | \(0.705216\pi\) | |||||||
\(224\) | 1.22736e88 | 0.900892 | ||||||||
\(225\) | 9.74051e87 | − | 6.74403e87i | 0.604975 | − | 0.418866i | ||||
\(226\) | 1.30201e88 | 0.684776 | ||||||||
\(227\) | 6.71691e87 | + | 1.16340e88i | 0.299364 | + | 0.518514i | 0.975991 | − | 0.217812i | \(-0.0698921\pi\) |
−0.676626 | + | 0.736326i | \(0.736559\pi\) | |||||||
\(228\) | −3.60762e87 | − | 1.15481e88i | −0.136353 | − | 0.436469i | ||||
\(229\) | −1.47837e88 | + | 2.56061e88i | −0.474190 | + | 0.821321i | −0.999563 | − | 0.0295505i | \(-0.990592\pi\) |
0.525373 | + | 0.850872i | \(0.323926\pi\) | |||||||
\(230\) | −2.50293e87 | + | 4.33520e87i | −0.0681796 | + | 0.118091i | ||||
\(231\) | 5.32149e87 | + | 1.70342e88i | 0.123192 | + | 0.394343i | ||||
\(232\) | −9.61430e87 | − | 1.66525e88i | −0.189286 | − | 0.327853i | ||||
\(233\) | −8.58816e88 | −1.43897 | −0.719487 | − | 0.694506i | \(-0.755623\pi\) | ||||
−0.719487 | + | 0.694506i | \(0.755623\pi\) | |||||||
\(234\) | 4.20410e87 | + | 5.11621e88i | 0.0599899 | + | 0.730052i | ||||
\(235\) | 1.36594e87 | 0.0166107 | ||||||||
\(236\) | −5.64957e88 | − | 9.78534e88i | −0.585889 | − | 1.01479i | ||||
\(237\) | 1.69349e89 | + | 3.80130e88i | 1.49872 | + | 0.336410i | ||||
\(238\) | −9.35741e88 | + | 1.62075e89i | −0.707163 | + | 1.22484i | ||||
\(239\) | −1.06561e89 | + | 1.84569e89i | −0.688138 | + | 1.19189i | 0.284301 | + | 0.958735i | \(0.408238\pi\) |
−0.972439 | + | 0.233155i | \(0.925095\pi\) | |||||||
\(240\) | 5.31169e88 | − | 5.76606e88i | 0.293299 | − | 0.318389i | ||||
\(241\) | 1.23578e89 | + | 2.14044e89i | 0.583853 | + | 1.01126i | 0.995017 | + | 0.0997018i | \(0.0317889\pi\) |
−0.411164 | + | 0.911561i | \(0.634878\pi\) | |||||||
\(242\) | 2.05114e89 | 0.829696 | ||||||||
\(243\) | −1.58241e89 | + | 2.41301e89i | −0.548382 | + | 0.836228i | ||||
\(244\) | −2.15350e89 | −0.639775 | ||||||||
\(245\) | −6.10584e88 | − | 1.05756e89i | −0.155603 | − | 0.269512i | ||||
\(246\) | 1.98853e89 | − | 2.15863e89i | 0.434976 | − | 0.472185i | ||||
\(247\) | 5.35400e88 | − | 9.27341e88i | 0.100587 | − | 0.174222i | ||||
\(248\) | −2.17274e88 | + | 3.76329e88i | −0.0350808 | + | 0.0607616i | ||||
\(249\) | 6.47723e89 | + | 1.45391e89i | 0.899319 | + | 0.201866i | ||||
\(250\) | 5.46048e89 | + | 9.45783e89i | 0.652350 | + | 1.12990i | ||||
\(251\) | −4.91284e89 | −0.505322 | −0.252661 | − | 0.967555i | \(-0.581306\pi\) | ||||
−0.252661 | + | 0.967555i | \(0.581306\pi\) | |||||||
\(252\) | −6.60952e88 | − | 8.04351e89i | −0.0585665 | − | 0.712731i | ||||
\(253\) | 1.56230e89 | 0.119329 | ||||||||
\(254\) | 6.65678e89 | + | 1.15299e90i | 0.438530 | + | 0.759557i | ||||
\(255\) | 4.15095e89 | + | 1.32873e90i | 0.235988 | + | 0.755406i | ||||
\(256\) | −6.80690e89 | + | 1.17899e90i | −0.334157 | + | 0.578777i | ||||
\(257\) | −9.54314e89 | + | 1.65292e90i | −0.404761 | + | 0.701067i | −0.994294 | − | 0.106677i | \(-0.965979\pi\) |
0.589532 | + | 0.807745i | \(0.299312\pi\) | |||||||
\(258\) | −5.71379e89 | − | 1.82900e90i | −0.209501 | − | 0.670617i | ||||
\(259\) | 1.17158e90 | + | 2.02924e90i | 0.371562 | + | 0.643563i | ||||
\(260\) | −1.06796e90 | −0.293125 | ||||||||
\(261\) | 6.46296e90 | − | 4.47476e90i | 1.53608 | − | 1.06353i | ||||
\(262\) | 1.72593e90 | 0.355407 | ||||||||
\(263\) | −4.38362e90 | − | 7.59264e90i | −0.782513 | − | 1.35535i | −0.930473 | − | 0.366360i | \(-0.880604\pi\) |
0.147960 | − | 0.988993i | \(-0.452729\pi\) | |||||||
\(264\) | 8.39910e89 | + | 1.88531e89i | 0.130043 | + | 0.0291901i | ||||
\(265\) | −3.82599e89 | + | 6.62681e89i | −0.0514072 | + | 0.0890398i | ||||
\(266\) | −1.58103e90 | + | 2.73843e90i | −0.184451 | + | 0.319478i | ||||
\(267\) | 1.04799e91 | − | 1.13763e91i | 1.06214 | − | 1.15300i | ||||
\(268\) | −5.11315e90 | − | 8.85623e90i | −0.450436 | − | 0.780179i | ||||
\(269\) | −1.20126e91 | −0.920298 | −0.460149 | − | 0.887842i | \(-0.652204\pi\) | ||||
−0.460149 | + | 0.887842i | \(0.652204\pi\) | |||||||
\(270\) | −8.89101e90 | − | 6.93485e90i | −0.592666 | − | 0.462270i | ||||
\(271\) | −8.85375e90 | −0.513782 | −0.256891 | − | 0.966440i | \(-0.582698\pi\) | ||||
−0.256891 | + | 0.966440i | \(0.582698\pi\) | |||||||
\(272\) | −1.28292e91 | − | 2.22208e91i | −0.648433 | − | 1.12312i | ||||
\(273\) | 4.83967e90 | − | 5.25367e90i | 0.213165 | − | 0.231400i | ||||
\(274\) | −2.31186e91 | + | 4.00426e91i | −0.887801 | + | 1.53772i | ||||
\(275\) | 7.22414e90 | − | 1.25126e91i | 0.241997 | − | 0.419151i | ||||
\(276\) | −6.89371e90 | − | 1.54740e90i | −0.201541 | − | 0.0452389i | ||||
\(277\) | −7.97170e90 | − | 1.38074e91i | −0.203498 | − | 0.352468i | 0.746155 | − | 0.665772i | \(-0.231898\pi\) |
−0.949653 | + | 0.313304i | \(0.898564\pi\) | |||||||
\(278\) | −4.29964e91 | −0.958853 | ||||||||
\(279\) | −1.60605e91 | − | 7.59261e90i | −0.313041 | − | 0.147990i | ||||
\(280\) | 3.83793e90 | 0.0654140 | ||||||||
\(281\) | −3.95121e91 | − | 6.84369e91i | −0.589173 | − | 1.02048i | −0.994341 | − | 0.106235i | \(-0.966120\pi\) |
0.405168 | − | 0.914242i | \(-0.367213\pi\) | |||||||
\(282\) | 1.07978e90 | + | 3.45641e90i | 0.0140927 | + | 0.0451112i | ||||
\(283\) | −4.60978e90 | + | 7.98437e90i | −0.0526852 | + | 0.0912534i | −0.891165 | − | 0.453679i | \(-0.850111\pi\) |
0.838480 | + | 0.544932i | \(0.183445\pi\) | |||||||
\(284\) | 3.24729e91 | − | 5.62447e91i | 0.325150 | − | 0.563176i | ||||
\(285\) | 7.01347e90 | + | 2.24503e91i | 0.0615532 | + | 0.197034i | ||||
\(286\) | 3.13022e91 | + | 5.42170e91i | 0.240907 | + | 0.417263i | ||||
\(287\) | −4.08390e91 | −0.275743 | ||||||||
\(288\) | 2.18806e92 | + | 1.03441e92i | 1.29670 | + | 0.613017i | ||||
\(289\) | 2.63439e92 | 1.37091 | ||||||||
\(290\) | 1.53586e92 | + | 2.66018e92i | 0.702143 | + | 1.21615i | ||||
\(291\) | −2.40002e91 | − | 5.38721e90i | −0.0964335 | − | 0.0216460i | ||||
\(292\) | −2.21609e92 | + | 3.83838e92i | −0.782943 | + | 1.35610i | ||||
\(293\) | 4.15336e91 | − | 7.19384e91i | 0.129082 | − | 0.223576i | −0.794239 | − | 0.607605i | \(-0.792130\pi\) |
0.923321 | + | 0.384029i | \(0.125464\pi\) | |||||||
\(294\) | 2.19341e92 | − | 2.38105e92i | 0.599924 | − | 0.651242i | ||||
\(295\) | 1.09832e92 | + | 1.90234e92i | 0.264486 | + | 0.458103i | ||||
\(296\) | 1.13023e92 | 0.239732 | ||||||||
\(297\) | −4.86944e91 | + | 3.48524e92i | −0.0910149 | + | 0.651427i | ||||
\(298\) | 6.37329e92 | 1.05016 | ||||||||
\(299\) | −3.12662e91 | − | 5.41547e91i | −0.0454366 | − | 0.0786985i | ||||
\(300\) | −4.42701e92 | + | 4.80570e92i | −0.567627 | + | 0.616183i | ||||
\(301\) | −1.33315e92 | + | 2.30909e92i | −0.150882 | + | 0.261334i | ||||
\(302\) | −1.29270e93 | + | 2.23902e93i | −1.29192 | + | 2.23768i | ||||
\(303\) | −8.07272e92 | − | 1.81205e92i | −0.712724 | − | 0.159982i | ||||
\(304\) | −2.16763e92 | − | 3.75444e92i | −0.169132 | − | 0.292945i | ||||
\(305\) | 4.18657e92 | 0.288811 | ||||||||
\(306\) | −3.03412e93 | + | 2.10073e93i | −1.85131 | + | 1.28179i | ||||
\(307\) | −1.59109e93 | −0.859024 | −0.429512 | − | 0.903061i | \(-0.641314\pi\) | ||||
−0.429512 | + | 0.903061i | \(0.641314\pi\) | |||||||
\(308\) | −4.92121e92 | − | 8.52379e92i | −0.235191 | − | 0.407362i | ||||
\(309\) | 2.01946e92 | + | 6.46436e92i | 0.0854659 | + | 0.273579i | ||||
\(310\) | 3.47088e92 | − | 6.01174e92i | 0.130130 | − | 0.225391i | ||||
\(311\) | 1.84271e92 | − | 3.19166e92i | 0.0612268 | − | 0.106048i | −0.833787 | − | 0.552086i | \(-0.813832\pi\) |
0.895014 | + | 0.446038i | \(0.147165\pi\) | |||||||
\(312\) | −1.02740e92 | − | 3.28873e92i | −0.0302650 | − | 0.0968792i | ||||
\(313\) | −4.92461e92 | − | 8.52968e92i | −0.128665 | − | 0.222854i | 0.794495 | − | 0.607271i | \(-0.207736\pi\) |
−0.923159 | + | 0.384417i | \(0.874402\pi\) | |||||||
\(314\) | 4.31443e93 | 1.00014 | ||||||||
\(315\) | 1.28494e92 | + | 1.56372e93i | 0.0264385 | + | 0.321746i | ||||
\(316\) | −9.57228e93 | −1.74884 | ||||||||
\(317\) | 2.29341e93 | + | 3.97230e93i | 0.372185 | + | 0.644643i | 0.989901 | − | 0.141758i | \(-0.0452754\pi\) |
−0.617717 | + | 0.786401i | \(0.711942\pi\) | |||||||
\(318\) | −1.97931e93 | − | 4.44287e92i | −0.285428 | − | 0.0640688i | ||||
\(319\) | 4.79332e93 | − | 8.30227e93i | 0.614448 | − | 1.06426i | ||||
\(320\) | −2.82990e93 | + | 4.90153e93i | −0.322587 | + | 0.558737i | ||||
\(321\) | 2.13595e92 | − | 2.31867e92i | 0.0216597 | − | 0.0235125i | ||||
\(322\) | 9.23289e92 | + | 1.59918e93i | 0.0833187 | + | 0.144312i | ||||
\(323\) | 7.69787e93 | 0.618410 | ||||||||
\(324\) | 5.60066e93 | − | 1.48965e94i | 0.400683 | − | 1.06573i | ||||
\(325\) | −5.78305e93 | −0.368580 | ||||||||
\(326\) | −2.93369e93 | − | 5.08131e93i | −0.166631 | − | 0.288613i | ||||
\(327\) | −2.39616e94 | + | 2.60113e94i | −1.21332 | + | 1.31711i | ||||
\(328\) | −9.84938e92 | + | 1.70596e93i | −0.0444774 | + | 0.0770372i | ||||
\(329\) | 2.51937e92 | − | 4.36367e92i | 0.0101495 | − | 0.0175795i | ||||
\(330\) | −1.34173e94 | − | 3.01172e93i | −0.482384 | − | 0.108278i | ||||
\(331\) | −1.15478e94 | − | 2.00013e94i | −0.370637 | − | 0.641962i | 0.619027 | − | 0.785370i | \(-0.287527\pi\) |
−0.989664 | + | 0.143408i | \(0.954194\pi\) | |||||||
\(332\) | −3.66119e94 | −1.04941 | ||||||||
\(333\) | 3.78400e93 | + | 4.60497e94i | 0.0968930 | + | 1.17915i | ||||
\(334\) | −2.23853e93 | −0.0512237 | ||||||||
\(335\) | 9.94034e93 | + | 1.72172e94i | 0.203339 | + | 0.352194i | ||||
\(336\) | −8.62344e93 | − | 2.76039e94i | −0.157746 | − | 0.504949i | ||||
\(337\) | 4.17090e93 | − | 7.22422e93i | 0.0682510 | − | 0.118214i | −0.829881 | − | 0.557941i | \(-0.811591\pi\) |
0.898131 | + | 0.439727i | \(0.144925\pi\) | |||||||
\(338\) | −3.74062e94 | + | 6.47895e94i | −0.547731 | + | 0.948698i | ||||
\(339\) | −1.06529e94 | − | 3.41001e94i | −0.139630 | − | 0.446958i | ||||
\(340\) | −3.83872e94 | − | 6.64885e94i | −0.450533 | − | 0.780346i | ||||
\(341\) | −2.16648e94 | −0.227754 | ||||||||
\(342\) | −5.12647e94 | + | 3.54941e94i | −0.482880 | + | 0.334332i | ||||
\(343\) | −1.19445e95 | −1.00841 | ||||||||
\(344\) | 6.43047e93 | + | 1.11379e94i | 0.0486745 | + | 0.0843067i | ||||
\(345\) | 1.34019e94 | + | 3.00826e93i | 0.0909808 | + | 0.0204220i | ||||
\(346\) | −2.26639e95 | + | 3.92550e95i | −1.38032 | + | 2.39079i | ||||
\(347\) | −7.07579e94 | + | 1.22556e95i | −0.386740 | + | 0.669854i | −0.992009 | − | 0.126167i | \(-0.959732\pi\) |
0.605269 | + | 0.796021i | \(0.293066\pi\) | |||||||
\(348\) | −2.93738e95 | + | 3.18865e95i | −1.44125 | + | 1.56454i | ||||
\(349\) | 9.90322e94 | + | 1.71529e95i | 0.436338 | + | 0.755759i | 0.997404 | − | 0.0720119i | \(-0.0229420\pi\) |
−0.561066 | + | 0.827771i | \(0.689609\pi\) | |||||||
\(350\) | 1.70773e95 | 0.675878 | ||||||||
\(351\) | 1.30556e95 | − | 5.28707e94i | 0.464278 | − | 0.188018i | ||||
\(352\) | 2.95158e95 | 0.943420 | ||||||||
\(353\) | 1.46877e95 | + | 2.54399e95i | 0.422088 | + | 0.731078i | 0.996144 | − | 0.0877383i | \(-0.0279639\pi\) |
−0.574055 | + | 0.818816i | \(0.694631\pi\) | |||||||
\(354\) | −3.94551e95 | + | 4.28302e95i | −1.01972 | + | 1.10695i | ||||
\(355\) | −6.31297e94 | + | 1.09344e95i | −0.146781 | + | 0.254233i | ||||
\(356\) | −4.26533e95 | + | 7.38777e95i | −0.892437 | + | 1.54575i | ||||
\(357\) | 5.01041e95 | + | 1.12466e95i | 0.943658 | + | 0.211819i | ||||
\(358\) | 6.06423e95 | + | 1.05036e96i | 1.02840 | + | 1.78124i | ||||
\(359\) | −1.24667e96 | −1.90419 | −0.952097 | − | 0.305796i | \(-0.901078\pi\) | ||||
−0.952097 | + | 0.305796i | \(0.901078\pi\) | |||||||
\(360\) | 6.84199e94 | + | 3.23455e94i | 0.0941540 | + | 0.0445113i | ||||
\(361\) | −6.76280e95 | −0.838699 | ||||||||
\(362\) | −7.02690e95 | − | 1.21709e96i | −0.785584 | − | 1.36067i | ||||
\(363\) | −1.67821e95 | − | 5.37200e95i | −0.169180 | − | 0.541549i | ||||
\(364\) | −1.96976e95 | + | 3.41172e95i | −0.179107 | + | 0.310222i | ||||
\(365\) | 4.30824e95 | − | 7.46209e95i | 0.353442 | − | 0.612179i | ||||
\(366\) | 3.30950e95 | + | 1.05938e96i | 0.245031 | + | 0.784352i | ||||
\(367\) | 3.93560e95 | + | 6.81667e95i | 0.263047 | + | 0.455612i | 0.967050 | − | 0.254586i | \(-0.0819391\pi\) |
−0.704003 | + | 0.710197i | \(0.748606\pi\) | |||||||
\(368\) | −2.53169e95 | −0.152798 | ||||||||
\(369\) | −7.28050e95 | − | 3.44186e95i | −0.396892 | − | 0.187631i | ||||
\(370\) | −1.80550e96 | −0.889269 | ||||||||
\(371\) | 1.41135e95 | + | 2.44452e95i | 0.0628220 | + | 0.108811i | ||||
\(372\) | 9.55970e95 | + | 2.14582e95i | 0.384666 | + | 0.0863442i | ||||
\(373\) | −9.74682e95 | + | 1.68820e96i | −0.354635 | + | 0.614246i | −0.987055 | − | 0.160379i | \(-0.948728\pi\) |
0.632420 | + | 0.774625i | \(0.282062\pi\) | |||||||
\(374\) | −2.25028e96 | + | 3.89760e96i | −0.740546 | + | 1.28266i | ||||
\(375\) | 2.03027e96 | − | 2.20394e96i | 0.604478 | − | 0.656187i | ||||
\(376\) | −1.21522e94 | − | 2.10482e94i | −0.00327424 | − | 0.00567115i | ||||
\(377\) | −3.83714e96 | −0.935851 | ||||||||
\(378\) | −3.85530e96 | + | 1.56127e96i | −0.851364 | + | 0.344775i | ||||
\(379\) | −4.57682e96 | −0.915363 | −0.457682 | − | 0.889116i | \(-0.651320\pi\) | ||||
−0.457682 | + | 0.889116i | \(0.651320\pi\) | |||||||
\(380\) | −6.48592e95 | − | 1.12339e96i | −0.117513 | − | 0.203539i | ||||
\(381\) | 2.47507e96 | − | 2.68679e96i | 0.406350 | − | 0.441110i | ||||
\(382\) | 9.94291e95 | − | 1.72216e96i | 0.147958 | − | 0.256270i | ||||
\(383\) | 6.80305e96 | − | 1.17832e97i | 0.917803 | − | 1.58968i | 0.115058 | − | 0.993359i | \(-0.463295\pi\) |
0.802745 | − | 0.596322i | \(-0.203372\pi\) | |||||||
\(384\) | −3.20099e96 | − | 7.18511e95i | −0.391618 | − | 0.0879048i | ||||
\(385\) | 9.56720e95 | + | 1.65709e96i | 0.106171 | + | 0.183894i | ||||
\(386\) | −1.23413e97 | −1.24261 | ||||||||
\(387\) | −4.32272e96 | + | 2.99292e96i | −0.394999 | + | 0.273485i | ||||
\(388\) | 1.35659e96 | 0.112527 | ||||||||
\(389\) | 3.19571e96 | + | 5.53514e96i | 0.240690 | + | 0.416887i | 0.960911 | − | 0.276857i | \(-0.0892930\pi\) |
−0.720221 | + | 0.693745i | \(0.755960\pi\) | |||||||
\(390\) | 1.64123e96 | + | 5.25364e96i | 0.112266 | + | 0.359367i | ||||
\(391\) | 2.24769e96 | − | 3.89312e96i | 0.139672 | − | 0.241919i | ||||
\(392\) | −1.08642e96 | + | 1.88174e96i | −0.0613438 | + | 0.106251i | ||||
\(393\) | −1.41213e96 | − | 4.52027e96i | −0.0724694 | − | 0.231977i | ||||
\(394\) | −1.54077e97 | − | 2.66870e97i | −0.718837 | − | 1.24506i | ||||
\(395\) | 1.86092e97 | 0.789473 | ||||||||
\(396\) | −1.58947e96 | − | 1.93432e97i | −0.0613313 | − | 0.746376i | ||||
\(397\) | −1.69425e97 | −0.594748 | −0.297374 | − | 0.954761i | \(-0.596111\pi\) | ||||
−0.297374 | + | 0.954761i | \(0.596111\pi\) | |||||||
\(398\) | 1.43721e97 | + | 2.48933e97i | 0.459099 | + | 0.795183i | ||||
\(399\) | 8.46562e96 | + | 1.90024e96i | 0.246136 | + | 0.0552490i | ||||
\(400\) | −1.17067e97 | + | 2.02765e97i | −0.309873 | + | 0.536715i | ||||
\(401\) | −3.59045e97 | + | 6.21884e97i | −0.865435 | + | 1.49898i | 0.00117905 | + | 0.999999i | \(0.499625\pi\) |
−0.866614 | + | 0.498979i | \(0.833709\pi\) | |||||||
\(402\) | −3.57089e97 | + | 3.87635e97i | −0.783970 | + | 0.851033i | ||||
\(403\) | 4.33577e96 | + | 7.50978e96i | 0.0867216 | + | 0.150206i | ||||
\(404\) | 4.56302e97 | 0.831670 | ||||||||
\(405\) | −1.08881e97 | + | 2.89598e97i | −0.180879 | + | 0.481097i | ||||
\(406\) | 1.13310e98 | 1.71610 | ||||||||
\(407\) | 2.81743e97 | + | 4.87994e97i | 0.389102 | + | 0.673944i | ||||
\(408\) | 1.67819e97 | − | 1.82175e97i | 0.211390 | − | 0.229473i | ||||
\(409\) | 7.47006e97 | − | 1.29385e98i | 0.858420 | − | 1.48683i | −0.0150150 | − | 0.999887i | \(-0.504780\pi\) |
0.873435 | − | 0.486940i | \(-0.161887\pi\) | |||||||
\(410\) | 1.57341e97 | − | 2.72522e97i | 0.164986 | − | 0.285764i | ||||
\(411\) | 1.23788e98 | + | 2.77862e97i | 1.18471 | + | 0.265926i | ||||
\(412\) | −1.86756e97 | − | 3.23471e97i | −0.163166 | − | 0.282611i | ||||
\(413\) | 8.10303e97 | 0.646428 | ||||||||
\(414\) | 2.98207e96 | + | 3.62905e97i | 0.0217272 | + | 0.264411i | ||||
\(415\) | 7.11762e97 | 0.473730 | ||||||||
\(416\) | −5.90699e97 | − | 1.02312e98i | −0.359225 | − | 0.622196i | ||||
\(417\) | 3.51790e97 | + | 1.12609e98i | 0.195515 | + | 0.625851i | ||||
\(418\) | −3.80209e97 | + | 6.58542e97i | −0.193158 | + | 0.334559i | ||||
\(419\) | 1.07668e98 | − | 1.86486e98i | 0.500105 | − | 0.866207i | −0.499895 | − | 0.866086i | \(-0.666628\pi\) |
1.00000 | 0.000120776i | \(-3.84440e-5\pi\) | ||||||||
\(420\) | −2.58029e97 | − | 8.25957e97i | −0.109602 | − | 0.350840i | ||||
\(421\) | −4.51951e97 | − | 7.82802e97i | −0.175595 | − | 0.304140i | 0.764772 | − | 0.644301i | \(-0.222852\pi\) |
−0.940367 | + | 0.340161i | \(0.889518\pi\) | |||||||
\(422\) | 4.80257e98 | 1.70709 | ||||||||
\(423\) | 8.16900e96 | − | 5.65597e96i | 0.0265708 | − | 0.0183968i | ||||
\(424\) | 1.36153e97 | 0.0405328 | ||||||||
\(425\) | −2.07869e98 | − | 3.60039e98i | −0.566506 | − | 0.981217i | ||||
\(426\) | −3.26591e98 | − | 7.33083e97i | −0.814975 | − | 0.182934i | ||||
\(427\) | 7.72178e97 | − | 1.33745e98i | 0.176471 | − | 0.305656i | ||||
\(428\) | −8.69338e96 | + | 1.50574e97i | −0.0181990 | + | 0.0315216i | ||||
\(429\) | 1.16385e98 | − | 1.26341e98i | 0.223228 | − | 0.242324i | ||||
\(430\) | −1.02725e98 | − | 1.77925e98i | −0.180555 | − | 0.312730i | ||||
\(431\) | −7.33058e98 | −1.18097 | −0.590487 | − | 0.807047i | \(-0.701064\pi\) | ||||
−0.590487 | + | 0.807047i | \(0.701064\pi\) | |||||||
\(432\) | 7.89090e97 | − | 5.64780e98i | 0.116543 | − | 0.834140i | ||||
\(433\) | −7.69830e98 | −1.04255 | −0.521277 | − | 0.853387i | \(-0.674544\pi\) | ||||
−0.521277 | + | 0.853387i | \(0.674544\pi\) | |||||||
\(434\) | −1.28035e98 | − | 2.21763e98i | −0.159025 | − | 0.275439i | ||||
\(435\) | 5.71049e98 | − | 6.19898e98i | 0.650618 | − | 0.706273i | ||||
\(436\) | 9.75243e98 | − | 1.68917e99i | 1.01946 | − | 1.76575i | ||||
\(437\) | 3.79772e97 | − | 6.57785e97i | 0.0364308 | − | 0.0631001i | ||||
\(438\) | 2.22880e99 | + | 5.00287e98i | 1.96242 | + | 0.440494i | ||||
\(439\) | −2.02247e98 | − | 3.50303e98i | −0.163480 | − | 0.283155i | 0.772635 | − | 0.634851i | \(-0.218938\pi\) |
−0.936114 | + | 0.351696i | \(0.885605\pi\) | |||||||
\(440\) | 9.22950e97 | 0.0685019 | ||||||||
\(441\) | −8.03065e98 | − | 3.79649e98i | −0.547399 | − | 0.258783i | ||||
\(442\) | 1.80139e99 | 1.12791 | ||||||||
\(443\) | −1.60644e99 | − | 2.78243e99i | −0.924112 | − | 1.60061i | −0.792983 | − | 0.609243i | \(-0.791473\pi\) |
−0.131128 | − | 0.991365i | \(-0.541860\pi\) | |||||||
\(444\) | −7.59865e98 | − | 2.43235e99i | −0.401675 | − | 1.28577i | ||||
\(445\) | 8.29212e98 | − | 1.43624e99i | 0.402870 | − | 0.697792i | ||||
\(446\) | −1.28259e99 | + | 2.22150e99i | −0.572834 | + | 0.992178i | ||||
\(447\) | −5.21453e98 | − | 1.66919e99i | −0.214133 | − | 0.685445i | ||||
\(448\) | 1.04390e99 | + | 1.80809e99i | 0.394216 | + | 0.682803i | ||||
\(449\) | 3.05170e99 | 1.05999 | 0.529997 | − | 0.847999i | \(-0.322193\pi\) | ||||
0.529997 | + | 0.847999i | \(0.322193\pi\) | |||||||
\(450\) | 3.04443e99 | + | 1.43925e99i | 0.972829 | + | 0.459905i | ||||
\(451\) | −9.82103e98 | −0.288760 | ||||||||
\(452\) | 9.85155e98 | + | 1.70634e99i | 0.266571 | + | 0.461715i | ||||
\(453\) | 6.92173e99 | + | 1.55369e99i | 1.72398 | + | 0.386974i | ||||
\(454\) | −1.90922e99 | + | 3.30686e99i | −0.437785 | + | 0.758265i | ||||
\(455\) | 3.82936e98 | − | 6.63265e98i | 0.0808535 | − | 0.140042i | ||||
\(456\) | 2.83548e98 | − | 3.07804e98i | 0.0551373 | − | 0.0598539i | ||||
\(457\) | 2.12597e99 | + | 3.68229e99i | 0.380802 | + | 0.659569i | 0.991177 | − | 0.132544i | \(-0.0423145\pi\) |
−0.610375 | + | 0.792113i | \(0.708981\pi\) | |||||||
\(458\) | −8.40424e99 | −1.38689 | ||||||||
\(459\) | 7.98436e99 | + | 6.22767e99i | 1.21413 | + | 0.947000i | ||||
\(460\) | −7.57527e98 | −0.106165 | ||||||||
\(461\) | 2.19132e99 | + | 3.79548e99i | 0.283088 | + | 0.490323i | 0.972144 | − | 0.234385i | \(-0.0753077\pi\) |
−0.689056 | + | 0.724709i | \(0.741974\pi\) | |||||||
\(462\) | −3.43685e99 | + | 3.73084e99i | −0.409342 | + | 0.444358i | ||||
\(463\) | −2.06452e99 | + | 3.57585e99i | −0.226742 | + | 0.392728i | −0.956841 | − | 0.290613i | \(-0.906141\pi\) |
0.730099 | + | 0.683341i | \(0.239474\pi\) | |||||||
\(464\) | −7.76753e99 | + | 1.34538e100i | −0.786790 | + | 1.36276i | ||||
\(465\) | −1.85848e99 | − | 4.17163e98i | −0.173649 | − | 0.0389781i | ||||
\(466\) | −1.22055e100 | − | 2.11406e100i | −1.05216 | − | 1.82240i | ||||
\(467\) | −2.77474e99 | −0.220719 | −0.110360 | − | 0.993892i | \(-0.535200\pi\) | ||||
−0.110360 | + | 0.993892i | \(0.535200\pi\) | |||||||
\(468\) | −6.38691e99 | + | 4.42210e99i | −0.468890 | + | 0.324645i | ||||
\(469\) | 7.33365e99 | 0.496980 | ||||||||
\(470\) | 1.94128e98 | + | 3.36239e98i | 0.0121456 | + | 0.0210367i | ||||
\(471\) | −3.53000e99 | − | 1.12996e100i | −0.203935 | − | 0.652801i | ||||
\(472\) | 1.95425e99 | − | 3.38486e99i | 0.104269 | − | 0.180599i | ||||
\(473\) | −3.20598e99 | + | 5.55292e99i | −0.158004 | + | 0.273671i | ||||
\(474\) | 1.47107e100 | + | 4.70893e100i | 0.669799 | + | 2.14405i | ||||
\(475\) | −3.51217e99 | − | 6.08325e99i | −0.147763 | − | 0.255932i | ||||
\(476\) | −2.83208e100 | −1.10115 | ||||||||
\(477\) | 4.55840e98 | + | 5.54739e99i | 0.0163822 | + | 0.199365i | ||||
\(478\) | −6.05777e100 | −2.01264 | ||||||||
\(479\) | −2.39740e99 | − | 4.15241e99i | −0.0736475 | − | 0.127561i | 0.826850 | − | 0.562423i | \(-0.190131\pi\) |
−0.900497 | + | 0.434862i | \(0.856797\pi\) | |||||||
\(480\) | 2.53196e100 | + | 5.68337e99i | 0.719301 | + | 0.161458i | ||||
\(481\) | 1.12770e100 | − | 1.95324e100i | 0.296316 | − | 0.513234i | ||||
\(482\) | −3.51260e100 | + | 6.08399e100i | −0.853816 | + | 1.47885i | ||||
\(483\) | 3.43289e99 | − | 3.72655e99i | 0.0772046 | − | 0.0838088i | ||||
\(484\) | 1.55198e100 | + | 2.68810e100i | 0.322986 | + | 0.559429i | ||||
\(485\) | −2.63730e99 | −0.0507978 | ||||||||
\(486\) | −8.18878e100 | − | 4.65868e99i | −1.46002 | − | 0.0830621i | ||||
\(487\) | 7.20601e100 | 1.18949 | 0.594743 | − | 0.803916i | \(-0.297254\pi\) | ||||
0.594743 | + | 0.803916i | \(0.297254\pi\) | |||||||
\(488\) | −3.72461e99 | − | 6.45122e99i | −0.0569295 | − | 0.0986049i | ||||
\(489\) | −1.09078e100 | + | 1.18409e100i | −0.154403 | + | 0.167611i | ||||
\(490\) | 1.73553e100 | − | 3.00602e100i | 0.227551 | − | 0.394129i | ||||
\(491\) | −6.96542e99 | + | 1.20645e100i | −0.0846041 | + | 0.146539i | −0.905222 | − | 0.424938i | \(-0.860296\pi\) |
0.820618 | + | 0.571477i | \(0.193629\pi\) | |||||||
\(492\) | 4.33357e100 | + | 9.72737e99i | 0.487702 | + | 0.109472i | ||||
\(493\) | −1.37924e101 | − | 2.38891e101i | −1.43840 | − | 2.49138i | ||||
\(494\) | 3.04365e100 | 0.294194 | ||||||||
\(495\) | 3.09004e99 | + | 3.76045e100i | 0.0276866 | + | 0.336934i | ||||
\(496\) | 3.51077e100 | 0.291635 | ||||||||
\(497\) | 2.32875e100 | + | 4.03352e100i | 0.179374 | + | 0.310684i | ||||
\(498\) | 5.62650e100 | + | 1.80106e101i | 0.401919 | + | 1.28655i | ||||
\(499\) | 1.32626e101 | − | 2.29716e101i | 0.878739 | − | 1.52202i | 0.0260129 | − | 0.999662i | \(-0.491719\pi\) |
0.852726 | − | 0.522359i | \(-0.174948\pi\) | |||||||
\(500\) | −8.26325e100 | + | 1.43124e101i | −0.507897 | + | 0.879703i | ||||
\(501\) | 1.83153e99 | + | 5.86278e99i | 0.0104448 | + | 0.0334341i | ||||
\(502\) | −6.98213e100 | − | 1.20934e101i | −0.369486 | − | 0.639969i | ||||
\(503\) | −3.04705e101 | −1.49651 | −0.748255 | − | 0.663412i | \(-0.769108\pi\) | ||||
−0.748255 | + | 0.663412i | \(0.769108\pi\) | |||||||
\(504\) | 2.29527e100 | − | 1.58917e100i | 0.104638 | − | 0.0724480i | ||||
\(505\) | −8.87085e100 | −0.375438 | ||||||||
\(506\) | 2.22034e100 | + | 3.84574e100i | 0.0872519 | + | 0.151125i | ||||
\(507\) | 2.00291e101 | + | 4.49584e100i | 0.730908 | + | 0.164063i | ||||
\(508\) | −1.00736e101 | + | 1.74480e101i | −0.341425 | + | 0.591365i | ||||
\(509\) | −1.80199e101 | + | 3.12113e101i | −0.567328 | + | 0.982642i | 0.429501 | + | 0.903067i | \(0.358690\pi\) |
−0.996829 | + | 0.0795749i | \(0.974644\pi\) | |||||||
\(510\) | −2.68086e101 | + | 2.91019e101i | −0.784138 | + | 0.851215i | ||||
\(511\) | −1.58924e101 | − | 2.75264e101i | −0.431922 | − | 0.748111i | ||||
\(512\) | −5.45872e101 | −1.37869 | ||||||||
\(513\) | 1.34904e101 | + | 1.05223e101i | 0.316683 | + | 0.247008i | ||||
\(514\) | −5.42509e101 | −1.18383 | ||||||||
\(515\) | 3.63068e100 | + | 6.28852e100i | 0.0736574 | + | 0.127578i | ||||
\(516\) | 1.96465e101 | − | 2.13271e101i | 0.370614 | − | 0.402317i | ||||
\(517\) | 6.05861e99 | − | 1.04938e100i | 0.0106286 | − | 0.0184093i | ||||
\(518\) | −3.33010e101 | + | 5.76790e101i | −0.543365 | + | 0.941135i | ||||
\(519\) | 1.21353e102 | + | 2.72396e101i | 1.84194 | + | 0.413452i | ||||
\(520\) | −1.84710e100 | − | 3.19926e100i | −0.0260834 | − | 0.0451778i | ||||
\(521\) | −1.08167e102 | −1.42128 | −0.710640 | − | 0.703556i | \(-0.751595\pi\) | ||||
−0.710640 | + | 0.703556i | \(0.751595\pi\) | |||||||
\(522\) | 2.02002e102 | + | 9.54965e101i | 2.47009 | + | 1.16773i | ||||
\(523\) | 8.28742e101 | 0.943204 | 0.471602 | − | 0.881811i | \(-0.343676\pi\) | ||||
0.471602 | + | 0.881811i | \(0.343676\pi\) | |||||||
\(524\) | 1.30591e101 | + | 2.26191e101i | 0.138354 | + | 0.239636i | ||||
\(525\) | −1.39724e101 | − | 4.47261e101i | −0.137815 | − | 0.441151i | ||||
\(526\) | 1.24600e102 | − | 2.15813e102i | 1.14433 | − | 1.98204i | ||||
\(527\) | −3.11694e101 | + | 5.39870e101i | −0.266582 | + | 0.461733i | ||||
\(528\) | −2.07378e101 | − | 6.63822e101i | −0.165192 | − | 0.528786i | ||||
\(529\) | 6.51664e101 | + | 1.12871e102i | 0.483544 | + | 0.837522i | ||||
\(530\) | −2.17500e101 | −0.150354 | ||||||||
\(531\) | 1.44455e102 | + | 6.82912e101i | 0.930441 | + | 0.439866i | ||||
\(532\) | −4.78510e101 | −0.287214 | ||||||||
\(533\) | 1.96548e101 | + | 3.40431e101i | 0.109951 | + | 0.190440i | ||||
\(534\) | 4.28979e102 | + | 9.62908e101i | 2.23686 | + | 0.502097i | ||||
\(535\) | 1.69006e100 | − | 2.92727e100i | 0.00821552 | − | 0.0142297i | ||||
\(536\) | 1.76870e101 | − | 3.06348e101i | 0.0801630 | − | 0.138846i | ||||
\(537\) | 2.25475e102 | − | 2.44762e102i | 0.952933 | − | 1.03445i | ||||
\(538\) | −1.70724e102 | − | 2.95702e102i | −0.672913 | − | 1.16552i | ||||
\(539\) | −1.08329e102 | −0.398261 | ||||||||
\(540\) | 2.36110e101 | − | 1.68992e102i | 0.0809744 | − | 0.579563i | ||||
\(541\) | −1.63646e102 | −0.523611 | −0.261805 | − | 0.965121i | \(-0.584318\pi\) | ||||
−0.261805 | + | 0.965121i | \(0.584318\pi\) | |||||||
\(542\) | −1.25830e102 | − | 2.17943e102i | −0.375673 | − | 0.650684i | ||||
\(543\) | −2.61268e102 | + | 2.83618e102i | −0.727935 | + | 0.790204i | ||||
\(544\) | 4.24647e102 | − | 7.35511e102i | 1.10426 | − | 1.91263i | ||||
\(545\) | −1.89594e102 | + | 3.28387e102i | −0.460211 | + | 0.797108i | ||||
\(546\) | 1.98105e102 | + | 4.44678e101i | 0.448923 | + | 0.100768i | ||||
\(547\) | −4.03957e102 | − | 6.99674e102i | −0.854693 | − | 1.48037i | −0.876929 | − | 0.480620i | \(-0.840412\pi\) |
0.0222358 | − | 0.999753i | \(-0.492922\pi\) | |||||||
\(548\) | −6.99700e102 | −1.38242 | ||||||||
\(549\) | 2.50377e102 | − | 1.73354e102i | 0.461989 | − | 0.319867i | ||||
\(550\) | 4.10678e102 | 0.707784 | ||||||||
\(551\) | −2.33037e102 | − | 4.03632e102i | −0.375180 | − | 0.649832i | ||||
\(552\) | −7.28756e100 | − | 2.33277e101i | −0.0109614 | − | 0.0350878i | ||||
\(553\) | 3.43232e102 | − | 5.94495e102i | 0.482387 | − | 0.835518i | ||||
\(554\) | 2.26588e102 | − | 3.92461e102i | 0.297591 | − | 0.515443i | ||||
\(555\) | 1.47723e102 | + | 4.72867e102i | 0.181327 | + | 0.580433i | ||||
\(556\) | −3.25328e102 | − | 5.63485e102i | −0.373265 | − | 0.646514i | ||||
\(557\) | 5.44875e101 | 0.0584423 | 0.0292212 | − | 0.999573i | \(-0.490697\pi\) | ||||
0.0292212 | + | 0.999573i | \(0.490697\pi\) | |||||||
\(558\) | −4.13531e101 | − | 5.03251e102i | −0.0414692 | − | 0.504663i | ||||
\(559\) | 2.56645e102 | 0.240652 | ||||||||
\(560\) | −1.55036e102 | − | 2.68530e102i | −0.135951 | − | 0.235473i | ||||
\(561\) | 1.20491e103 | + | 2.70460e102i | 0.988205 | + | 0.221818i | ||||
\(562\) | 1.12309e103 | − | 1.94525e103i | 0.861595 | − | 1.49233i | ||||
\(563\) | −8.61262e102 | + | 1.49175e103i | −0.618116 | + | 1.07061i | 0.371713 | + | 0.928348i | \(0.378771\pi\) |
−0.989829 | + | 0.142261i | \(0.954563\pi\) | |||||||
\(564\) | −3.71276e101 | + | 4.03036e101i | −0.0249305 | + | 0.0270631i | ||||
\(565\) | −1.91522e102 | − | 3.31725e102i | −0.120337 | − | 0.208431i | ||||
\(566\) | −2.62057e102 | −0.154092 | ||||||||
\(567\) | 7.24336e102 | + | 8.81974e102i | 0.398635 | + | 0.485390i | ||||
\(568\) | 2.24655e102 | 0.115732 | ||||||||
\(569\) | 1.09810e103 | + | 1.90196e103i | 0.529578 | + | 0.917257i | 0.999405 | + | 0.0344978i | \(0.0109832\pi\) |
−0.469826 | + | 0.882759i | \(0.655683\pi\) | |||||||
\(570\) | −4.52960e102 | + | 4.91707e102i | −0.204528 | + | 0.222024i | ||||
\(571\) | 2.27908e102 | − | 3.94748e102i | 0.0963620 | − | 0.166904i | −0.813814 | − | 0.581125i | \(-0.802613\pi\) |
0.910176 | + | 0.414221i | \(0.135946\pi\) | |||||||
\(572\) | −4.73691e102 | + | 8.20456e102i | −0.187562 | + | 0.324866i | ||||
\(573\) | −5.32391e102 | − | 1.19503e102i | −0.197439 | − | 0.0443182i | ||||
\(574\) | −5.80405e102 | − | 1.00529e103i | −0.201621 | − | 0.349217i | ||||
\(575\) | −4.10206e102 | −0.133493 | ||||||||
\(576\) | 3.37163e102 | + | 4.10313e103i | 0.102801 | + | 1.25104i | ||||
\(577\) | −4.03009e103 | −1.15139 | −0.575694 | − | 0.817665i | \(-0.695268\pi\) | ||||
−0.575694 | + | 0.817665i | \(0.695268\pi\) | |||||||
\(578\) | 3.74399e103 | + | 6.48479e103i | 1.00240 | + | 1.73621i | ||||
\(579\) | 1.00974e103 | + | 3.23222e103i | 0.253376 | + | 0.811063i | ||||
\(580\) | −2.32418e103 | + | 4.02560e103i | −0.546664 | + | 0.946850i | ||||
\(581\) | 1.31279e103 | − | 2.27381e103i | 0.289460 | − | 0.501360i | ||||
\(582\) | −2.08480e102 | − | 6.67350e102i | −0.0430975 | − | 0.137956i | ||||
\(583\) | 3.39402e102 | + | 5.87862e102i | 0.0657876 | + | 0.113947i | ||||
\(584\) | −1.53314e103 | −0.278677 | ||||||||
\(585\) | 1.24166e103 | − | 8.59689e102i | 0.211670 | − | 0.146554i | ||||
\(586\) | 2.36111e103 | 0.377533 | ||||||||
\(587\) | −3.59100e103 | − | 6.21979e103i | −0.538625 | − | 0.932926i | −0.998978 | − | 0.0451902i | \(-0.985611\pi\) |
0.460353 | − | 0.887736i | \(-0.347723\pi\) | |||||||
\(588\) | 4.78008e103 | + | 1.07296e103i | 0.672645 | + | 0.150985i | ||||
\(589\) | −5.26640e102 | + | 9.12168e102i | −0.0695330 | + | 0.120435i | ||||
\(590\) | −3.12186e103 | + | 5.40722e103i | −0.386779 | + | 0.669921i | ||||
\(591\) | −5.72877e103 | + | 6.21882e103i | −0.666087 | + | 0.723066i | ||||
\(592\) | −4.56563e103 | − | 7.90790e103i | −0.498238 | − | 0.862973i | ||||
\(593\) | −6.61693e103 | −0.677806 | −0.338903 | − | 0.940821i | \(-0.610056\pi\) | ||||
−0.338903 | + | 0.940821i | \(0.610056\pi\) | |||||||
\(594\) | −9.27128e103 | + | 3.75456e103i | −0.891554 | + | 0.361050i | ||||
\(595\) | 5.50577e103 | 0.497087 | ||||||||
\(596\) | 4.82230e103 | + | 8.35246e103i | 0.408808 | + | 0.708076i | ||||
\(597\) | 5.34372e103 | − | 5.80084e103i | 0.425409 | − | 0.461799i | ||||
\(598\) | 8.88711e102 | − | 1.53929e103i | 0.0664456 | − | 0.115087i | ||||
\(599\) | −7.41268e103 | + | 1.28391e104i | −0.520559 | + | 0.901634i | 0.479156 | + | 0.877730i | \(0.340943\pi\) |
−0.999714 | + | 0.0239041i | \(0.992390\pi\) | |||||||
\(600\) | −2.20532e103 | − | 4.95017e102i | −0.145478 | − | 0.0326549i | ||||
\(601\) | 1.43092e104 | + | 2.47842e104i | 0.886791 | + | 1.53597i | 0.843646 | + | 0.536899i | \(0.180404\pi\) |
0.0431450 | + | 0.999069i | \(0.486262\pi\) | |||||||
\(602\) | −7.57871e103 | −0.441293 | ||||||||
\(603\) | 1.30739e104 | + | 6.18070e103i | 0.715331 | + | 0.338173i | ||||
\(604\) | −3.91244e104 | −2.01170 | ||||||||
\(605\) | −3.01716e103 | − | 5.22587e103i | −0.145805 | − | 0.252541i | ||||
\(606\) | −7.01244e103 | − | 2.24470e104i | −0.318527 | − | 1.01961i | ||||
\(607\) | −9.24222e103 | + | 1.60080e104i | −0.394639 | + | 0.683535i | −0.993055 | − | 0.117650i | \(-0.962464\pi\) |
0.598416 | + | 0.801186i | \(0.295797\pi\) | |||||||
\(608\) | 7.17487e103 | − | 1.24272e104i | 0.288025 | − | 0.498874i | ||||
\(609\) | −9.27088e103 | − | 2.96764e104i | −0.349923 | − | 1.12011i | ||||
\(610\) | 5.94996e103 | + | 1.03056e104i | 0.211176 | + | 0.365768i | ||||
\(611\) | −4.85003e102 | −0.0161882 | ||||||||
\(612\) | −5.04884e104 | − | 2.38684e104i | −1.58494 | − | 0.749281i | ||||
\(613\) | −8.61024e103 | −0.254242 | −0.127121 | − | 0.991887i | \(-0.540574\pi\) | ||||
−0.127121 | + | 0.991887i | \(0.540574\pi\) | |||||||
\(614\) | −2.26126e104 | − | 3.91661e104i | −0.628111 | − | 1.08792i | ||||
\(615\) | −8.42479e103 | − | 1.89107e103i | −0.220162 | − | 0.0494187i | ||||
\(616\) | 1.70231e103 | − | 2.94848e103i | 0.0418563 | − | 0.0724973i | ||||
\(617\) | 1.90065e104 | − | 3.29202e104i | 0.439753 | − | 0.761674i | −0.557917 | − | 0.829897i | \(-0.688399\pi\) |
0.997670 | + | 0.0682223i | \(0.0217327\pi\) | |||||||
\(618\) | −1.30426e104 | + | 1.41583e104i | −0.283985 | + | 0.308278i | ||||
\(619\) | 3.83360e104 | + | 6.63998e104i | 0.785610 | + | 1.36072i | 0.928634 | + | 0.370998i | \(0.120984\pi\) |
−0.143024 | + | 0.989719i | \(0.545682\pi\) | |||||||
\(620\) | 1.05048e104 | 0.202629 | ||||||||
\(621\) | 9.26061e103 | − | 3.75025e103i | 0.168153 | − | 0.0680965i | ||||
\(622\) | 1.04754e104 | 0.179074 | ||||||||
\(623\) | −3.05883e104 | − | 5.29804e104i | −0.492326 | − | 0.852734i | ||||
\(624\) | −1.88601e104 | + | 2.04735e104i | −0.285840 | + | 0.310291i | ||||
\(625\) | −9.71352e103 | + | 1.68243e104i | −0.138636 | + | 0.240125i | ||||
\(626\) | 1.39977e104 | − | 2.42448e104i | 0.188157 | − | 0.325897i | ||||
\(627\) | 2.03582e104 | + | 4.56972e103i | 0.257755 | + | 0.0578571i | ||||
\(628\) | 3.26448e104 | + | 5.65424e104i | 0.389338 | + | 0.674354i | ||||
\(629\) | 1.62139e105 | 1.82175 | ||||||||
\(630\) | −3.66662e104 | + | 2.53866e104i | −0.388146 | + | 0.268741i | ||||
\(631\) | 4.71085e104 | 0.469893 | 0.234946 | − | 0.972008i | \(-0.424509\pi\) | ||||
0.234946 | + | 0.972008i | \(0.424509\pi\) | |||||||
\(632\) | −1.65558e104 | − | 2.86755e104i | −0.155618 | − | 0.269539i | ||||
\(633\) | −3.92938e104 | − | 1.25781e105i | −0.348085 | − | 1.11423i | ||||
\(634\) | −6.51878e104 | + | 1.12909e105i | −0.544276 | + | 0.942714i | ||||
\(635\) | 1.95838e104 | − | 3.39201e104i | 0.154128 | − | 0.266958i | ||||
\(636\) | −9.15372e103 | − | 2.93013e104i | −0.0679135 | − | 0.217393i | ||||
\(637\) | 2.16799e104 | + | 3.75507e104i | 0.151645 | + | 0.262657i | ||||
\(638\) | 2.72491e105 | 1.79712 | ||||||||
\(639\) | 7.52147e103 | + | 9.15332e104i | 0.0467757 | + | 0.569241i | ||||
\(640\) | −3.51746e104 | −0.206291 | ||||||||
\(641\) | 8.05884e104 | + | 1.39583e105i | 0.445755 | + | 0.772071i | 0.998104 | − | 0.0615420i | \(-0.0196018\pi\) |
−0.552349 | + | 0.833613i | \(0.686268\pi\) | |||||||
\(642\) | 8.74323e103 | + | 1.96255e103i | 0.0456151 | + | 0.0102390i | ||||
\(643\) | −4.47737e104 | + | 7.75503e104i | −0.220349 | + | 0.381656i | −0.954914 | − | 0.296883i | \(-0.904053\pi\) |
0.734565 | + | 0.678538i | \(0.237386\pi\) | |||||||
\(644\) | −1.39720e104 | + | 2.42002e104i | −0.0648691 | + | 0.112357i | ||||
\(645\) | −3.81943e104 | + | 4.14615e104i | −0.167305 | + | 0.181617i | ||||
\(646\) | 1.09402e105 | + | 1.89490e105i | 0.452175 | + | 0.783191i | ||||
\(647\) | 3.66274e105 | 1.42855 | 0.714276 | − | 0.699864i | \(-0.246756\pi\) | ||||
0.714276 | + | 0.699864i | \(0.246756\pi\) | |||||||
\(648\) | 5.43118e104 | − | 8.98650e103i | 0.199909 | − | 0.0330771i | ||||
\(649\) | 1.94863e105 | 0.676944 | ||||||||
\(650\) | −8.21888e104 | − | 1.42355e105i | −0.269502 | − | 0.466791i | ||||
\(651\) | −4.76049e104 | + | 5.16771e104i | −0.147355 | + | 0.159960i | ||||
\(652\) | 4.43951e104 | − | 7.68945e104i | 0.129733 | − | 0.224704i | ||||
\(653\) | 1.95509e105 | − | 3.38632e105i | 0.539415 | − | 0.934294i | −0.459521 | − | 0.888167i | \(-0.651979\pi\) |
0.998936 | − | 0.0461268i | \(-0.0146878\pi\) | |||||||
\(654\) | −9.80834e105 | − | 2.20163e105i | −2.55523 | − | 0.573561i | ||||
\(655\) | −2.53879e104 | − | 4.39731e104i | −0.0624565 | − | 0.108178i | ||||
\(656\) | 1.59149e105 | 0.369752 | ||||||||
\(657\) | −5.13297e104 | − | 6.24661e105i | −0.112633 | − | 1.37070i | ||||
\(658\) | 1.43221e104 | 0.0296849 | ||||||||
\(659\) | 1.48284e105 | + | 2.56836e105i | 0.290330 | + | 0.502867i | 0.973888 | − | 0.227030i | \(-0.0729015\pi\) |
−0.683557 | + | 0.729897i | \(0.739568\pi\) | |||||||
\(660\) | −6.20511e104 | − | 1.98627e105i | −0.114776 | − | 0.367402i | ||||
\(661\) | 3.98022e105 | − | 6.89394e105i | 0.695588 | − | 1.20479i | −0.274394 | − | 0.961617i | \(-0.588477\pi\) |
0.969982 | − | 0.243177i | \(-0.0781895\pi\) | |||||||
\(662\) | 3.28234e105 | − | 5.68519e105i | 0.542013 | − | 0.938793i | ||||
\(663\) | −1.47387e105 | − | 4.71791e105i | −0.229986 | − | 0.736193i | ||||
\(664\) | −6.33224e104 | − | 1.09678e105i | −0.0933801 | − | 0.161739i | ||||
\(665\) | 9.30259e104 | 0.129656 | ||||||||
\(666\) | −1.07978e106 | + | 7.47606e105i | −1.42250 | + | 0.984893i | ||||
\(667\) | −2.72177e105 | −0.338948 | ||||||||
\(668\) | −1.69376e104 | − | 2.93369e104i | −0.0199405 | − | 0.0345379i | ||||
\(669\) | 6.86758e105 | + | 1.54153e105i | 0.764406 | + | 0.171583i | ||||
\(670\) | −2.82544e105 | + | 4.89381e105i | −0.297359 | + | 0.515041i | ||||
\(671\) | 1.85695e105 | − | 3.21632e105i | 0.184801 | − | 0.320085i | ||||
\(672\) | 6.48562e105 | − | 7.04041e105i | 0.610385 | − | 0.662599i | ||||
\(673\) | 4.49260e105 | + | 7.78140e105i | 0.399883 | + | 0.692617i | 0.993711 | − | 0.111975i | \(-0.0357176\pi\) |
−0.593829 | + | 0.804592i | \(0.702384\pi\) | |||||||
\(674\) | 2.37108e105 | 0.199618 | ||||||||
\(675\) | 1.27855e105 | − | 9.15103e105i | 0.101818 | − | 0.728750i | ||||
\(676\) | −1.13212e106 | −0.852889 | ||||||||
\(677\) | −2.30675e104 | − | 3.99541e104i | −0.0164409 | − | 0.0284765i | 0.857688 | − | 0.514171i | \(-0.171900\pi\) |
−0.874129 | + | 0.485694i | \(0.838567\pi\) | |||||||
\(678\) | 6.88007e105 | − | 7.46861e105i | 0.463959 | − | 0.503647i | ||||
\(679\) | −4.86429e104 | + | 8.42520e104i | −0.0310387 | + | 0.0537605i | ||||
\(680\) | 1.32786e105 | − | 2.29992e105i | 0.0801802 | − | 0.138876i | ||||
\(681\) | 1.02229e106 | + | 2.29468e105i | 0.584192 | + | 0.131131i | ||||
\(682\) | −3.07901e105 | − | 5.33300e105i | −0.166532 | − | 0.288441i | ||||
\(683\) | 2.98959e106 | 1.53051 | 0.765253 | − | 0.643730i | \(-0.222614\pi\) | ||||
0.765253 | + | 0.643730i | \(0.222614\pi\) | |||||||
\(684\) | −8.53055e105 | − | 4.03282e105i | −0.413403 | − | 0.195436i | ||||
\(685\) | 1.36027e106 | 0.624063 | ||||||||
\(686\) | −1.69755e106 | − | 2.94024e106i | −0.737341 | − | 1.27711i | ||||
\(687\) | 6.87622e105 | + | 2.20110e106i | 0.282795 | + | 0.905236i | ||||
\(688\) | 5.19527e105 | − | 8.99848e105i | 0.202321 | − | 0.350431i | ||||
\(689\) | 1.35849e105 | − | 2.35297e105i | 0.0500997 | − | 0.0867753i | ||||
\(690\) | 1.16417e105 | + | 3.72653e105i | 0.0406606 | + | 0.130156i | ||||
\(691\) | 1.80512e106 | + | 3.12657e106i | 0.597145 | + | 1.03429i | 0.993240 | + | 0.116077i | \(0.0370318\pi\) |
−0.396095 | + | 0.918210i | \(0.629635\pi\) | |||||||
\(692\) | −6.85937e106 | −2.14934 | ||||||||
\(693\) | 1.25832e106 | + | 5.94869e105i | 0.373503 | + | 0.176573i | ||||
\(694\) | −4.02245e106 | −1.13112 | ||||||||
\(695\) | 6.32462e105 | + | 1.09546e106i | 0.168502 | + | 0.291854i | ||||
\(696\) | −1.46326e106 | − | 3.28451e105i | −0.369381 | − | 0.0829132i | ||||
\(697\) | −1.41296e106 | + | 2.44732e106i | −0.337988 | + | 0.585412i | ||||
\(698\) | −2.81489e106 | + | 4.87554e106i | −0.638092 | + | 1.10521i | ||||
\(699\) | −4.53814e106 | + | 4.92635e106i | −0.974954 | + | 1.05835i | ||||
\(700\) | 1.29214e106 | + | 2.23805e106i | 0.263108 | + | 0.455716i | ||||
\(701\) | −8.58548e106 | −1.65706 | −0.828531 | − | 0.559942i | \(-0.810823\pi\) | ||||
−0.828531 | + | 0.559942i | \(0.810823\pi\) | |||||||
\(702\) | 3.15692e106 | + | 2.46235e106i | 0.577593 | + | 0.450513i | ||||
\(703\) | 2.73951e106 | 0.475169 | ||||||||
\(704\) | 2.51039e106 | + | 4.34813e106i | 0.412826 | + | 0.715036i | ||||
\(705\) | 7.21789e104 | − | 7.83532e104i | 0.0112543 | − | 0.0122170i | ||||
\(706\) | −4.17484e106 | + | 7.23104e106i | −0.617254 | + | 1.06912i | ||||
\(707\) | −1.63615e106 | + | 2.83390e106i | −0.229402 | + | 0.397335i | ||||
\(708\) | −8.59841e106 | − | 1.93004e106i | −1.14333 | − | 0.256637i | ||||
\(709\) | 2.95440e106 | + | 5.11718e106i | 0.372594 | + | 0.645352i | 0.989964 | − | 0.141321i | \(-0.0451351\pi\) |
−0.617370 | + | 0.786673i | \(0.711802\pi\) | |||||||
\(710\) | −3.58880e106 | −0.429300 | ||||||||
\(711\) | 1.11292e107 | − | 7.70554e106i | 1.26286 | − | 0.874365i | ||||
\(712\) | −2.95086e106 | −0.317650 | ||||||||
\(713\) | 3.07547e105 | + | 5.32686e105i | 0.0314090 | + | 0.0544019i | ||||
\(714\) | 4.35233e106 | + | 1.39319e107i | 0.421735 | + | 1.34998i | ||||
\(715\) | 9.20890e105 | − | 1.59503e106i | 0.0846703 | − | 0.146653i | ||||
\(716\) | −9.17689e106 | + | 1.58948e107i | −0.800676 | + | 1.38681i | ||||
\(717\) | 4.95637e106 | + | 1.58655e107i | 0.410389 | + | 1.31367i | ||||
\(718\) | −1.77178e107 | − | 3.06880e107i | −1.39233 | − | 2.41158i | ||||
\(719\) | 1.41964e107 | 1.05888 | 0.529439 | − | 0.848348i | \(-0.322402\pi\) | ||||
0.529439 | + | 0.848348i | \(0.322402\pi\) | |||||||
\(720\) | −5.00739e105 | − | 6.09379e106i | −0.0354522 | − | 0.431438i | ||||
\(721\) | 2.67859e106 | 0.180026 | ||||||||
\(722\) | −9.61129e106 | − | 1.66472e107i | −0.613249 | − | 1.06218i | ||||
\(723\) | 1.88081e107 | + | 4.22177e106i | 1.13936 | + | 0.255746i | ||||
\(724\) | 1.06337e107 | − | 1.84181e107i | 0.611628 | − | 1.05937i | ||||
\(725\) | −1.25856e107 | + | 2.17989e107i | −0.687383 | + | 1.19058i | ||||
\(726\) | 1.08386e107 | − | 1.17658e107i | 0.562147 | − | 0.610235i | ||||
\(727\) | −1.38186e107 | − | 2.39345e107i | −0.680650 | − | 1.17892i | −0.974783 | − | 0.223155i | \(-0.928364\pi\) |
0.294133 | − | 0.955764i | \(-0.404969\pi\) | |||||||
\(728\) | −1.36273e106 | −0.0637503 | ||||||||
\(729\) | 5.47981e106 | + | 2.18278e107i | 0.243491 | + | 0.969903i | ||||
\(730\) | 2.44915e107 | 1.03373 | ||||||||
\(731\) | 9.22496e106 | + | 1.59781e107i | 0.369882 | + | 0.640654i | ||||
\(732\) | −1.13795e107 | + | 1.23529e107i | −0.433469 | + | 0.470549i | ||||
\(733\) | 2.28109e107 | − | 3.95097e107i | 0.825551 | − | 1.42990i | −0.0759458 | − | 0.997112i | \(-0.524198\pi\) |
0.901497 | − | 0.432785i | \(-0.142469\pi\) | |||||||
\(734\) | −1.11866e107 | + | 1.93757e107i | −0.384676 | + | 0.666278i | ||||
\(735\) | −9.29284e106 | − | 2.08592e106i | −0.303650 | − | 0.0681589i | ||||
\(736\) | −4.18997e106 | − | 7.25724e106i | −0.130105 | − | 0.225348i | ||||
\(737\) | 1.76361e107 | 0.520441 | ||||||||
\(738\) | −1.87461e106 | − | 2.28132e107i | −0.0525771 | − | 0.639842i | ||||
\(739\) | −4.20230e107 | −1.12026 | −0.560132 | − | 0.828403i | \(-0.689250\pi\) | ||||
−0.560132 | + | 0.828403i | \(0.689250\pi\) | |||||||
\(740\) | −1.36612e107 | − | 2.36618e107i | −0.346177 | − | 0.599596i | ||||
\(741\) | −2.49026e106 | − | 7.97141e106i | −0.0599877 | − | 0.192023i | ||||
\(742\) | −4.01161e106 | + | 6.94831e106i | −0.0918697 | + | 0.159123i | ||||
\(743\) | 1.03608e107 | − | 1.79455e107i | 0.225587 | − | 0.390728i | −0.730908 | − | 0.682476i | \(-0.760903\pi\) |
0.956495 | + | 0.291747i | \(0.0942367\pi\) | |||||||
\(744\) | 1.01059e106 | + | 3.23492e106i | 0.0209213 | + | 0.0669697i | ||||
\(745\) | −9.37490e106 | − | 1.62378e107i | −0.184547 | − | 0.319644i | ||||
\(746\) | −5.54088e107 | −1.03722 | ||||||||
\(747\) | 4.25668e107 | − | 2.94720e107i | 0.757790 | − | 0.524671i | ||||
\(748\) | −6.81063e107 | −1.15313 | ||||||||
\(749\) | −6.23435e105 | − | 1.07982e106i | −0.0100397 | − | 0.0173894i | ||||
\(750\) | 8.31062e107 | + | 1.86545e107i | 1.27302 | + | 0.285750i | ||||
\(751\) | 6.73275e107 | − | 1.16615e108i | 0.981058 | − | 1.69924i | 0.322769 | − | 0.946478i | \(-0.395386\pi\) |
0.658290 | − | 0.752765i | \(-0.271280\pi\) | |||||||
\(752\) | −9.81793e105 | + | 1.70052e106i | −0.0136098 | + | 0.0235728i | ||||
\(753\) | −2.59603e107 | + | 2.81811e107i | −0.342372 | + | 0.371660i | ||||
\(754\) | −5.45334e107 | − | 9.44547e107i | −0.684286 | − | 1.18522i | ||||
\(755\) | 7.60607e107 | 0.908133 | ||||||||
\(756\) | −4.96318e107 | − | 3.87120e107i | −0.563888 | − | 0.439824i | ||||
\(757\) | 2.56833e107 | 0.277687 | 0.138844 | − | 0.990314i | \(-0.455661\pi\) | ||||
0.138844 | + | 0.990314i | \(0.455661\pi\) | |||||||
\(758\) | −6.50458e107 | − | 1.12663e108i | −0.669305 | − | 1.15927i | ||||
\(759\) | 8.25547e106 | − | 8.96167e106i | 0.0808491 | − | 0.0877652i | ||||
\(760\) | 2.24356e106 | − | 3.88596e106i | 0.0209135 | − | 0.0362233i | ||||
\(761\) | −9.46351e107 | + | 1.63913e108i | −0.839707 | + | 1.45441i | 0.0504334 | + | 0.998727i | \(0.483940\pi\) |
−0.890140 | + | 0.455687i | \(0.849394\pi\) | |||||||
\(762\) | 1.01313e108 | + | 2.27413e107i | 0.855767 | + | 0.192090i | ||||
\(763\) | 6.99383e107 | + | 1.21137e108i | 0.562399 | + | 0.974104i | ||||
\(764\) | 3.00929e107 | 0.230389 | ||||||||
\(765\) | 9.81531e107 | + | 4.64019e107i | 0.715485 | + | 0.338245i | ||||
\(766\) | 3.86740e108 | 2.68436 | ||||||||
\(767\) | −3.89978e107 | − | 6.75462e107i | −0.257759 | − | 0.446452i | ||||
\(768\) | 3.16604e107 | + | 1.01346e108i | 0.199283 | + | 0.637911i | ||||
\(769\) | −1.18845e108 | + | 2.05846e108i | −0.712434 | + | 1.23397i | 0.251507 | + | 0.967855i | \(0.419074\pi\) |
−0.963941 | + | 0.266116i | \(0.914259\pi\) | |||||||
\(770\) | −2.71938e107 | + | 4.71011e107i | −0.155263 | + | 0.268924i | ||||
\(771\) | 4.43872e107 | + | 1.42085e108i | 0.241390 | + | 0.772695i | ||||
\(772\) | −9.33791e107 | − | 1.61737e108i | −0.483728 | − | 0.837841i | ||||
\(773\) | 3.65919e108 | 1.80574 | 0.902868 | − | 0.429918i | \(-0.141457\pi\) | ||||
0.902868 | + | 0.429918i | \(0.141457\pi\) | |||||||
\(774\) | −1.35108e108 | − | 6.38723e107i | −0.635177 | − | 0.300280i | ||||
\(775\) | 5.68844e107 | 0.254788 | ||||||||
\(776\) | 2.34630e106 | + | 4.06391e106i | 0.0100131 | + | 0.0173432i | ||||
\(777\) | 1.78310e108 | + | 4.00243e107i | 0.725081 | + | 0.162756i | ||||
\(778\) | −9.08351e107 | + | 1.57331e108i | −0.351981 | + | 0.609648i | ||||
\(779\) | −2.38735e107 | + | 4.13501e107i | −0.0881580 | + | 0.152694i | ||||
\(780\) | −5.64328e107 | + | 6.12603e107i | −0.198602 | + | 0.215591i | ||||
\(781\) | 5.60022e107 | + | 9.69986e107i | 0.187841 | + | 0.325351i | ||||
\(782\) | 1.27777e108 | 0.408507 | ||||||||
\(783\) | 8.48334e107 | − | 6.07184e108i | 0.258524 | − | 1.85035i | ||||
\(784\) | 1.75547e108 | 0.509966 | ||||||||
\(785\) | −6.34639e107 | − | 1.09923e108i | −0.175758 | − | 0.304421i | ||||
\(786\) | 9.12015e107 | − | 9.90031e107i | 0.240800 | − | 0.261399i | ||||
\(787\) | −6.07677e107 | + | 1.05253e108i | −0.152975 | + | 0.264961i | −0.932320 | − | 0.361635i | \(-0.882219\pi\) |
0.779345 | + | 0.626595i | \(0.215552\pi\) | |||||||
\(788\) | 2.33163e108 | − | 4.03849e108i | 0.559662 | − | 0.969363i | ||||
\(789\) | −6.67168e108 | − | 1.49756e108i | −1.52703 | − | 0.342765i | ||||
\(790\) | 2.64474e108 | + | 4.58083e108i | 0.577255 | + | 0.999835i | ||||
\(791\) | −1.41298e108 | −0.294116 | ||||||||
\(792\) | 5.51969e107 | − | 3.82167e107i | 0.109577 | − | 0.0758680i | ||||
\(793\) | −1.48652e108 | −0.281466 | ||||||||
\(794\) | −2.40787e108 | − | 4.17055e108i | −0.434874 | − | 0.753224i | ||||
\(795\) | 1.77955e107 | + | 5.69640e107i | 0.0306580 | + | 0.0981370i | ||||
\(796\) | −2.17491e108 | + | 3.76706e108i | −0.357439 | + | 0.619102i | ||||
\(797\) | −3.79701e107 | + | 6.57662e107i | −0.0595326 | + | 0.103113i | −0.894256 | − | 0.447556i | \(-0.852294\pi\) |
0.834723 | + | 0.550670i | \(0.185628\pi\) | |||||||
\(798\) | 7.35373e107 | + | 2.35395e108i | 0.110002 | + | 0.352119i | ||||
\(799\) | −1.74332e107 | − | 3.01951e107i | −0.0248812 | − | 0.0430956i | ||||
\(800\) | −7.74984e108 | −1.05540 | ||||||||
\(801\) | −9.87948e107 | − | 1.20229e109i | −0.128385 | − | 1.56239i | ||||
\(802\) | −2.04110e109 | −2.53119 | ||||||||
\(803\) | −3.82183e108 | − | 6.61960e108i | −0.452312 | − | 0.783427i | ||||
\(804\) | −7.78200e108 | − | 1.74679e108i | −0.879001 | − | 0.197305i | ||||
\(805\) | 2.71626e107 | − | 4.70469e107i | 0.0292836 | − | 0.0507208i | ||||
\(806\) | −1.23240e108 | + | 2.13458e108i | −0.126820 | + | 0.219659i | ||||
\(807\) | −6.34771e108 | + | 6.89070e108i | −0.623533 | + | 0.676871i | ||||
\(808\) | 7.89201e107 | + | 1.36694e108i | 0.0740051 | + | 0.128181i | ||||
\(809\) | 1.63763e109 | 1.46605 | 0.733023 | − | 0.680204i | \(-0.238109\pi\) | ||||
0.733023 | + | 0.680204i | \(0.238109\pi\) | |||||||
\(810\) | −8.67615e108 | + | 1.43557e108i | −0.741547 | + | 0.122697i | ||||
\(811\) | 7.06927e108 | 0.576890 | 0.288445 | − | 0.957497i | \(-0.406862\pi\) | ||||
0.288445 | + | 0.957497i | \(0.406862\pi\) | |||||||
\(812\) | 8.57353e108 | + | 1.48498e109i | 0.668050 | + | 1.15710i | ||||
\(813\) | −4.67849e108 | + | 5.07870e108i | −0.348105 | + | 0.377882i | ||||
\(814\) | −8.00827e108 | + | 1.38707e109i | −0.569015 | + | 0.985563i | ||||
\(815\) | −8.63073e107 | + | 1.49489e108i | −0.0585649 | + | 0.101437i | ||||
\(816\) | −1.95255e109 | − | 4.38279e108i | −1.26538 | − | 0.284034i | ||||
\(817\) | 1.55866e108 | + | 2.69967e108i | 0.0964769 | + | 0.167103i | ||||
\(818\) | 4.24658e109 | 2.51068 | ||||||||
\(819\) | −4.56242e107 | − | 5.55227e108i | −0.0257661 | − | 0.313563i | ||||
\(820\) | 4.76202e108 | 0.256905 | ||||||||
\(821\) | −1.89166e109 | − | 3.27645e109i | −0.974934 | − | 1.68863i | −0.680154 | − | 0.733069i | \(-0.738087\pi\) |
−0.294779 | − | 0.955565i | \(-0.595246\pi\) | |||||||
\(822\) | 1.07530e109 | + | 3.44206e109i | 0.529463 | + | 1.69483i | ||||
\(823\) | 1.42258e108 | − | 2.46398e108i | 0.0669241 | − | 0.115916i | −0.830622 | − | 0.556837i | \(-0.812015\pi\) |
0.897546 | + | 0.440921i | \(0.145348\pi\) | |||||||
\(824\) | 6.46012e107 | − | 1.11892e108i | 0.0290382 | − | 0.0502957i | ||||
\(825\) | −3.36010e108 | − | 1.07558e109i | −0.144321 | − | 0.461976i | ||||
\(826\) | 1.15160e109 | + | 1.99464e109i | 0.472662 | + | 0.818675i | ||||
\(827\) | 3.32518e109 | 1.30424 | 0.652122 | − | 0.758114i | \(-0.273879\pi\) | ||||
0.652122 | + | 0.758114i | \(0.273879\pi\) | |||||||
\(828\) | −4.53038e108 | + | 3.13670e108i | −0.169823 | + | 0.117581i | ||||
\(829\) | −3.85655e109 | −1.38167 | −0.690835 | − | 0.723013i | \(-0.742757\pi\) | ||||
−0.690835 | + | 0.723013i | \(0.742757\pi\) | |||||||
\(830\) | 1.01156e109 | + | 1.75207e109i | 0.346387 | + | 0.599960i | ||||
\(831\) | −1.21326e109 | − | 2.72335e108i | −0.397114 | − | 0.0891383i | ||||
\(832\) | 1.00481e109 | − | 1.74038e109i | 0.314382 | − | 0.544526i | ||||
\(833\) | −1.55855e109 | + | 2.69948e109i | −0.466157 | + | 0.807408i | ||||
\(834\) | −2.27201e109 | + | 2.46636e109i | −0.649655 | + | 0.705229i | ||||
\(835\) | 3.29280e107 | + | 5.70330e107i | 0.00900167 | + | 0.0155913i | ||||
\(836\) | −1.15073e109 | −0.300772 | ||||||||
\(837\) | −1.28419e109 | + | 5.20057e108i | −0.320942 | + | 0.129971i | ||||
\(838\) | 6.12072e109 | 1.46269 | ||||||||
\(839\) | 1.32785e109 | + | 2.29990e109i | 0.303442 | + | 0.525576i | 0.976913 | − | 0.213637i | \(-0.0685309\pi\) |
−0.673472 | + | 0.739213i | \(0.735198\pi\) | |||||||
\(840\) | 2.02803e108 | − | 2.20151e108i | 0.0443202 | − | 0.0481114i | ||||
\(841\) | −5.95840e109 | + | 1.03202e110i | −1.24532 | + | 2.15695i | ||||
\(842\) | 1.28463e109 | − | 2.22504e109i | 0.256787 | − | 0.444769i | ||||
\(843\) | −6.01357e109 | − | 1.34984e109i | −1.14974 | − | 0.258076i | ||||
\(844\) | 3.63382e109 | + | 6.29396e109i | 0.664540 | + | 1.15102i | ||||
\(845\) | 2.20093e109 | 0.385017 | ||||||||
\(846\) | 2.55325e108 | + | 1.20705e108i | 0.0427272 | + | 0.0201993i | ||||
\(847\) | −2.22596e109 | −0.356361 | ||||||||
\(848\) | −5.49999e108 | − | 9.52626e108i | −0.0842398 | − | 0.145908i | ||||
\(849\) | 2.14411e108 | + | 6.86335e108i | 0.0314201 | + | 0.100577i | ||||
\(850\) | 5.90847e109 | − | 1.02338e110i | 0.828448 | − | 1.43491i | ||||
\(851\) | 7.99906e108 | − | 1.38548e109i | 0.107320 | − | 0.185884i | ||||
\(852\) | −1.51039e109 | − | 4.83479e109i | −0.193911 | − | 0.620716i | ||||
\(853\) | −2.26432e109 | − | 3.92192e109i | −0.278195 | − | 0.481848i | 0.692741 | − | 0.721186i | \(-0.256403\pi\) |
−0.970936 | + | 0.239339i | \(0.923069\pi\) | |||||||
\(854\) | 4.38968e109 | 0.516135 | ||||||||
\(855\) | 1.65840e109 | + | 7.84010e108i | 0.186621 | + | 0.0882251i | ||||
\(856\) | −6.01429e107 | −0.00647766 | ||||||||
\(857\) | −1.47189e109 | − | 2.54938e109i | −0.151738 | − | 0.262817i | 0.780129 | − | 0.625619i | \(-0.215154\pi\) |
−0.931866 | + | 0.362802i | \(0.881820\pi\) | |||||||
\(858\) | 4.76407e109 | + | 1.06937e109i | 0.470116 | + | 0.105525i | ||||
\(859\) | −3.28566e109 | + | 5.69093e109i | −0.310369 | + | 0.537576i | −0.978442 | − | 0.206520i | \(-0.933786\pi\) |
0.668073 | + | 0.744096i | \(0.267119\pi\) | |||||||
\(860\) | 1.55452e109 | − | 2.69250e109i | 0.140574 | − | 0.243481i | ||||
\(861\) | −2.15801e109 | + | 2.34261e109i | −0.186825 | + | 0.202807i | ||||
\(862\) | −1.04182e110 | − | 1.80449e110i | −0.863518 | − | 1.49566i | ||||
\(863\) | −1.06459e110 | −0.844845 | −0.422423 | − | 0.906399i | \(-0.638820\pi\) | ||||
−0.422423 | + | 0.906399i | \(0.638820\pi\) | |||||||
\(864\) | 1.74957e110 | − | 7.08518e109i | 1.32943 | − | 0.538376i | ||||
\(865\) | 1.33351e110 | 0.970271 | ||||||||
\(866\) | −1.09408e110 | − | 1.89501e110i | −0.762306 | − | 1.32035i | ||||
\(867\) | 1.39206e110 | − | 1.51114e110i | 0.928841 | − | 1.00830i | ||||
\(868\) | 1.93753e109 | − | 3.35590e109i | 0.123811 | − | 0.214447i | ||||
\(869\) | 8.25409e109 | − | 1.42965e110i | 0.505158 | − | 0.874960i | ||||
\(870\) | 2.33751e110 | + | 5.24690e109i | 1.37019 | + | 0.307561i | ||||
\(871\) | −3.52950e109 | − | 6.11328e109i | −0.198168 | − | 0.343236i | ||||
\(872\) | 6.74696e109 | 0.362861 | ||||||||
\(873\) | −1.57724e109 | + | 1.09203e109i | −0.0812574 | + | 0.0562601i | ||||
\(874\) | 2.15893e109 | 0.106552 | ||||||||
\(875\) | −5.92588e109 | − | 1.02639e110i | −0.280189 | − | 0.485301i | ||||
\(876\) | 1.03075e110 | + | 3.29946e110i | 0.466928 | + | 1.49465i | ||||
\(877\) | 2.19617e108 | − | 3.80387e108i | 0.00953192 | − | 0.0165098i | −0.861220 | − | 0.508232i | \(-0.830299\pi\) |
0.870752 | + | 0.491722i | \(0.163633\pi\) | |||||||
\(878\) | 5.74868e109 | − | 9.95701e109i | 0.239069 | − | 0.414080i | ||||
\(879\) | −1.93182e109 | − | 6.18381e109i | −0.0769810 | − | 0.246419i | ||||
\(880\) | −3.72832e109 | − | 6.45765e109i | −0.142368 | − | 0.246589i | ||||
\(881\) | −4.89504e110 | −1.79126 | −0.895631 | − | 0.444797i | \(-0.853276\pi\) | ||||
−0.895631 | + | 0.444797i | \(0.853276\pi\) | |||||||
\(882\) | −2.06776e109 | − | 2.51638e110i | −0.0725150 | − | 0.882478i | ||||
\(883\) | −5.54548e110 | −1.86386 | −0.931928 | − | 0.362642i | \(-0.881875\pi\) | ||||
−0.931928 | + | 0.362642i | \(0.881875\pi\) | |||||||
\(884\) | 1.36301e110 | + | 2.36080e110i | 0.439075 | + | 0.760500i | ||||
\(885\) | 1.67159e110 | + | 3.75215e109i | 0.516129 | + | 0.115853i | ||||
\(886\) | 4.56615e110 | − | 7.90880e110i | 1.35140 | − | 2.34070i | ||||
\(887\) | −3.19969e110 | + | 5.54202e110i | −0.907762 | + | 1.57229i | −0.0905958 | + | 0.995888i | \(0.528877\pi\) |
−0.817166 | + | 0.576402i | \(0.804456\pi\) | |||||||
\(888\) | 5.97232e109 | − | 6.48321e109i | 0.162427 | − | 0.176321i | ||||
\(889\) | −7.22414e109 | − | 1.25126e110i | −0.188352 | − | 0.326235i | ||||
\(890\) | 4.71391e110 | 1.17830 | ||||||||
\(891\) | 1.74189e110 | + | 2.12098e110i | 0.417453 | + | 0.508304i | ||||
\(892\) | −3.88183e110 | −0.891978 | ||||||||
\(893\) | −2.94552e108 | − | 5.10179e108i | −0.00648982 | − | 0.0112407i | ||||
\(894\) | 3.36777e110 | − | 3.65585e110i | 0.711517 | − | 0.772381i | ||||
\(895\) | 1.78405e110 | − | 3.09007e110i | 0.361447 | − | 0.626044i | ||||
\(896\) | −6.48767e109 | + | 1.12370e110i | −0.126049 | + | 0.218323i | ||||
\(897\) | −4.75859e109 | − | 1.06814e109i | −0.0886669 | − | 0.0199026i | ||||
\(898\) | 4.33708e110 | + | 7.51203e110i | 0.775058 | + | 1.34244i | ||||
\(899\) | 3.77436e110 | 0.646926 | ||||||||
\(900\) | 4.17339e109 | + | 5.07885e110i | 0.0686112 | + | 0.834970i | ||||
\(901\) | 1.95321e110 | 0.308013 | ||||||||
\(902\) | −1.39577e110 | − | 2.41754e110i | −0.211139 | − | 0.365703i | ||||
\(903\) | 6.20078e109 | + | 1.98489e110i | 0.0899820 | + | 0.288035i | ||||
\(904\) | −3.40777e109 | + | 5.90243e109i | −0.0474410 | + | 0.0821703i | ||||
\(905\) | −2.06727e110 | + | 3.58061e110i | −0.276105 | + | 0.478228i | ||||
\(906\) | 6.01263e110 | + | 1.92466e111i | 0.770472 | + | 2.46630i | ||||
\(907\) | −6.51513e110 | − | 1.12845e111i | −0.801032 | − | 1.38743i | −0.918938 | − | 0.394403i | \(-0.870952\pi\) |
0.117906 | − | 0.993025i | \(-0.462382\pi\) | |||||||
\(908\) | −5.77836e110 | −0.681688 | ||||||||
\(909\) | −5.30520e110 | + | 3.67316e110i | −0.600560 | + | 0.415809i | ||||
\(910\) | 2.17692e110 | 0.236477 | ||||||||
\(911\) | 8.59840e110 | + | 1.48929e111i | 0.896352 | + | 1.55253i | 0.832123 | + | 0.554591i | \(0.187125\pi\) |
0.0642289 | + | 0.997935i | \(0.479541\pi\) | |||||||
\(912\) | −3.29904e110 | − | 7.40520e109i | −0.330051 | − | 0.0740850i | ||||
\(913\) | 3.15701e110 | − | 5.46810e110i | 0.303125 | − | 0.525028i | ||||
\(914\) | −6.04286e110 | + | 1.04665e111i | −0.556878 | + | 0.964541i | ||||
\(915\) | 2.21226e110 | − | 2.40150e110i | 0.195679 | − | 0.212418i | ||||
\(916\) | −6.35899e110 | − | 1.10141e111i | −0.539894 | − | 0.935123i | ||||
\(917\) | −1.87304e110 | −0.152650 | ||||||||
\(918\) | −3.98261e110 | + | 2.85050e111i | −0.311579 | + | 2.23008i | ||||
\(919\) | −2.52591e110 | −0.189708 | −0.0948540 | − | 0.995491i | \(-0.530238\pi\) | ||||
−0.0948540 | + | 0.995491i | \(0.530238\pi\) | |||||||
\(920\) | −1.31019e109 | − | 2.26931e109i | −0.00944692 | − | 0.0163626i | ||||
\(921\) | −8.40761e110 | + | 9.12682e110i | −0.582018 | + | 0.631805i | ||||
\(922\) | −6.22862e110 | + | 1.07883e111i | −0.413983 | + | 0.717040i | ||||
\(923\) | 2.24154e110 | − | 3.88246e110i | 0.143048 | − | 0.247767i | ||||
\(924\) | −7.48988e110 | − | 1.68122e110i | −0.458961 | − | 0.103021i | ||||
\(925\) | −7.39761e110 | − | 1.28130e111i | −0.435288 | − | 0.753940i | ||||
\(926\) | −1.17364e111 | −0.663165 | ||||||||
\(927\) | 4.77521e110 | + | 2.25748e110i | 0.259121 | + | 0.122499i | ||||
\(928\) | −5.14213e111 | −2.67975 | ||||||||
\(929\) | −6.69420e110 | − | 1.15947e111i | −0.335050 | − | 0.580323i | 0.648445 | − | 0.761262i | \(-0.275420\pi\) |
−0.983494 | + | 0.180939i | \(0.942086\pi\) | |||||||
\(930\) | −1.61438e110 | − | 5.16768e110i | −0.0776061 | − | 0.248419i | ||||
\(931\) | −2.63333e110 | + | 4.56106e110i | −0.121589 | + | 0.210597i | ||||
\(932\) | 1.84704e111 | − | 3.19916e111i | 0.819179 | − | 1.41886i | ||||
\(933\) | −8.57083e109 | − | 2.74355e110i | −0.0365141 | − | 0.116883i | ||||
\(934\) | −3.94347e110 | − | 6.83029e110i | −0.161388 | − | 0.279532i | ||||
\(935\) | 1.32404e111 | 0.520552 | ||||||||
\(936\) | −2.42938e110 | − | 1.14849e110i | −0.0917594 | − | 0.0433792i | ||||
\(937\) | 4.81418e111 | 1.74698 | 0.873490 | − | 0.486843i | \(-0.161852\pi\) | ||||
0.873490 | + | 0.486843i | \(0.161852\pi\) | |||||||
\(938\) | 1.04226e111 | + | 1.80525e111i | 0.363387 | + | 0.629405i | ||||
\(939\) | −7.49506e110 | − | 1.68238e110i | −0.251082 | − | 0.0563591i | ||||
\(940\) | −2.93770e109 | + | 5.08824e109i | −0.00945612 | + | 0.0163785i | ||||
\(941\) | 1.95724e111 | − | 3.39003e111i | 0.605386 | − | 1.04856i | −0.386604 | − | 0.922246i | \(-0.626352\pi\) |
0.991990 | − | 0.126314i | \(-0.0403147\pi\) | |||||||
\(942\) | 2.27983e111 | − | 2.47485e111i | 0.677631 | − | 0.735597i | ||||
\(943\) | 1.39416e110 | + | 2.41476e110i | 0.0398221 | + | 0.0689739i | ||||
\(944\) | −3.15774e111 | −0.866815 | ||||||||
\(945\) | 9.64880e110 | + | 7.52591e110i | 0.254554 | + | 0.198548i | ||||
\(946\) | −1.82254e111 | −0.462125 | ||||||||
\(947\) | 1.02367e111 | + | 1.77305e111i | 0.249480 | + | 0.432112i | 0.963382 | − | 0.268134i | \(-0.0864070\pi\) |
−0.713902 | + | 0.700246i | \(0.753074\pi\) | |||||||
\(948\) | −5.05817e111 | + | 5.49086e111i | −1.18490 | + | 1.28626i | ||||
\(949\) | −1.52972e111 | + | 2.64955e111i | −0.344452 | + | 0.596609i | ||||
\(950\) | 9.98299e110 | − | 1.72910e111i | 0.216085 | − | 0.374271i | ||||
\(951\) | 3.49047e111 | + | 7.83489e110i | 0.726297 | + | 0.163029i | ||||
\(952\) | −4.89825e110 | − | 8.48402e110i | −0.0979841 | − | 0.169713i | ||||
\(953\) | 4.73267e111 | 0.910171 | 0.455085 | − | 0.890448i | \(-0.349609\pi\) | ||||
0.455085 | + | 0.890448i | \(0.349609\pi\) | |||||||
\(954\) | −1.30076e111 | + | 9.00605e110i | −0.240509 | + | 0.166521i | ||||
\(955\) | −5.85028e110 | −0.104004 | ||||||||
\(956\) | −4.58355e111 | − | 7.93895e111i | −0.783486 | − | 1.35704i | ||||
\(957\) | −2.22948e111 | − | 7.13662e111i | −0.366442 | − | 1.17299i | ||||
\(958\) | 6.81436e110 | − | 1.18028e111i | 0.107701 | − | 0.186543i | ||||
\(959\) | 2.50890e111 | − | 4.34555e111i | 0.381317 | − | 0.660460i | ||||
\(960\) | 1.31625e111 | + | 4.21335e111i | 0.192383 | + | 0.615823i | ||||
\(961\) | 3.13062e111 | + | 5.42240e111i | 0.440052 | + | 0.762192i | ||||
\(962\) | 6.41077e111 | 0.866653 | ||||||||
\(963\) | −2.01359e109 | − | 2.45045e110i | −0.00261809 | − | 0.0318611i | ||||
\(964\) | −1.06311e112 | −1.32950 | ||||||||
\(965\) | 1.81536e111 | + | 3.14429e111i | 0.218368 | + | 0.378224i | ||||
\(966\) | 1.40521e111 | + | 3.15421e110i | 0.162592 | + | 0.0364962i | ||||
\(967\) | −6.73481e111 | + | 1.16650e112i | −0.749606 | + | 1.29836i | 0.198406 | + | 0.980120i | \(0.436423\pi\) |
−0.948012 | + | 0.318235i | \(0.896910\pi\) | |||||||
\(968\) | −5.36847e110 | + | 9.29847e110i | −0.0574811 | + | 0.0995602i | ||||
\(969\) | 4.06770e111 | − | 4.41566e111i | 0.418993 | − | 0.454835i | ||||
\(970\) | −3.74814e110 | − | 6.49197e110i | −0.0371429 | − | 0.0643334i | ||||
\(971\) | 1.73337e111 | 0.165261 | 0.0826306 | − | 0.996580i | \(-0.473668\pi\) | ||||
0.0826306 | + | 0.996580i | \(0.473668\pi\) | |||||||
\(972\) | −5.58543e111 | − | 1.10842e112i | −0.512355 | − | 1.01676i | ||||
\(973\) | 4.66610e111 | 0.411834 | ||||||||
\(974\) | 1.02412e112 | + | 1.77383e112i | 0.869741 | + | 1.50643i | ||||
\(975\) | −3.05587e111 | + | 3.31728e111i | −0.249725 | + | 0.271087i | ||||
\(976\) | −3.00917e111 | + | 5.21203e111i | −0.236635 | + | 0.409863i | ||||
\(977\) | 1.02926e112 | − | 1.78274e112i | 0.778898 | − | 1.34909i | −0.153679 | − | 0.988121i | \(-0.549112\pi\) |
0.932577 | − | 0.360970i | \(-0.117554\pi\) | |||||||
\(978\) | −4.46496e111 | − | 1.00223e111i | −0.325170 | − | 0.0729894i | ||||
\(979\) | −7.35591e111 | − | 1.27408e112i | −0.515568 | − | 0.892989i | ||||
\(980\) | 5.25268e111 | 0.354326 | ||||||||
\(981\) | 2.25889e111 | + | 2.74897e112i | 0.146658 | + | 1.78477i | ||||
\(982\) | −3.95970e111 | −0.247447 | ||||||||
\(983\) | 8.56894e109 | + | 1.48418e110i | 0.00515431 | + | 0.00892752i | 0.868591 | − | 0.495530i | \(-0.165026\pi\) |
−0.863437 | + | 0.504457i | \(0.831693\pi\) | |||||||
\(984\) | 4.58116e110 | + | 1.46644e111i | 0.0265252 | + | 0.0849081i | ||||
\(985\) | −4.53285e111 | + | 7.85113e111i | −0.252646 | + | 0.437596i | ||||
\(986\) | 3.92035e112 | − | 6.79025e112i | 2.10349 | − | 3.64335i | ||||
\(987\) | −1.17181e110 | − | 3.75101e110i | −0.00605292 | − | 0.0193756i | ||||
\(988\) | 2.30295e111 | + | 3.98882e111i | 0.114525 | + | 0.198362i | ||||
\(989\) | 1.82044e111 | 0.0871597 | ||||||||
\(990\) | −8.81754e111 | + | 6.10500e111i | −0.406469 | + | 0.281427i | ||||
\(991\) | 1.09625e112 | 0.486574 | 0.243287 | − | 0.969954i | \(-0.421774\pi\) | ||||
0.243287 | + | 0.969954i | \(0.421774\pi\) | |||||||
\(992\) | 5.81034e111 | + | 1.00638e112i | 0.248321 | + | 0.430105i | ||||
\(993\) | −1.75752e112 | − | 3.94503e111i | −0.723277 | − | 0.162351i | ||||
\(994\) | −6.61925e111 | + | 1.14649e112i | −0.262313 | + | 0.454339i | ||||
\(995\) | 4.22819e111 | − | 7.32344e111i | 0.161357 | − | 0.279479i | ||||
\(996\) | −1.93464e112 | + | 2.10013e112i | −0.711008 | + | 0.771830i | ||||
\(997\) | 1.72174e112 | + | 2.98215e112i | 0.609397 | + | 1.05551i | 0.991340 | + | 0.131321i | \(0.0419217\pi\) |
−0.381943 | + | 0.924186i | \(0.624745\pi\) | |||||||
\(998\) | 7.53956e112 | 2.57010 | ||||||||
\(999\) | 2.84146e112 | + | 2.21629e112i | 0.932902 | + | 0.727649i |
(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 | 9.76.c.a.4.63 | ✓ | 148 | |
9.7 | even | 3 | inner | 9.76.c.a.7.63 | yes | 148 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
9.76.c.a.4.63 | ✓ | 148 | 1.1 | even | 1 | trivial | |
9.76.c.a.7.63 | yes | 148 | 9.7 | even | 3 | inner |