Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,12,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.2934908890\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.19 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.12.e.a.13.19 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 43.9461 | + | 10.8046i | 0.971081 | + | 0.238751i | ||||
\(3\) | 221.481 | − | 221.481i | 0.526223 | − | 0.526223i | −0.393221 | − | 0.919444i | \(-0.628639\pi\) |
0.919444 | + | 0.393221i | \(0.128639\pi\) | |||||||
\(4\) | 1814.52 | + | 949.643i | 0.885996 | + | 0.463693i | ||||
\(5\) | −7918.20 | − | 7918.20i | −1.13316 | − | 1.13316i | −0.989649 | − | 0.143512i | \(-0.954161\pi\) |
−0.143512 | − | 0.989649i | \(-0.545839\pi\) | |||||||
\(6\) | 12126.3 | − | 7340.22i | 0.636642 | − | 0.385369i | ||||
\(7\) | − | 76836.1i | − | 1.72793i | −0.503552 | − | 0.863965i | \(-0.667974\pi\) | ||
0.503552 | − | 0.863965i | \(-0.332026\pi\) | |||||||
\(8\) | 69480.6 | + | 61338.3i | 0.749667 | + | 0.661815i | ||||
\(9\) | 79039.1i | 0.446178i | ||||||||
\(10\) | −262421. | − | 433527.i | −0.829847 | − | 1.37093i | ||||
\(11\) | −197951. | − | 197951.i | −0.370593 | − | 0.370593i | 0.497100 | − | 0.867693i | \(-0.334398\pi\) |
−0.867693 | + | 0.497100i | \(0.834398\pi\) | |||||||
\(12\) | 612210. | − | 191554.i | 0.710238 | − | 0.222226i | ||||
\(13\) | −46856.2 | + | 46856.2i | −0.0350008 | + | 0.0350008i | −0.724391 | − | 0.689390i | \(-0.757879\pi\) |
0.689390 | + | 0.724391i | \(0.257879\pi\) | |||||||
\(14\) | 830185. | − | 3.37665e6i | 0.412545 | − | 1.67796i | ||||
\(15\) | −3.50747e6 | −1.19259 | ||||||||
\(16\) | 2.39066e6 | + | 3.44629e6i | 0.569978 | + | 0.821660i | ||||
\(17\) | 9.74414e6 | 1.66446 | 0.832232 | − | 0.554428i | \(-0.187063\pi\) | ||||
0.832232 | + | 0.554428i | \(0.187063\pi\) | |||||||
\(18\) | −853988. | + | 3.47346e6i | −0.106525 | + | 0.433275i | ||||
\(19\) | 2.85298e6 | − | 2.85298e6i | 0.264334 | − | 0.264334i | −0.562478 | − | 0.826812i | \(-0.690152\pi\) |
0.826812 | + | 0.562478i | \(0.190152\pi\) | |||||||
\(20\) | −6.84827e6 | − | 2.18872e7i | −0.478538 | − | 1.52941i | ||||
\(21\) | −1.70178e7 | − | 1.70178e7i | −0.909277 | − | 0.909277i | ||||
\(22\) | −6.56038e6 | − | 1.08379e7i | −0.271396 | − | 0.448355i | ||||
\(23\) | − | 3.12758e7i | − | 1.01322i | −0.862174 | − | 0.506611i | \(-0.830898\pi\) | ||
0.862174 | − | 0.506611i | \(-0.169102\pi\) | |||||||
\(24\) | 2.89739e7 | − | 1.80336e6i | 0.742755 | − | 0.0462295i | ||||
\(25\) | 7.65676e7i | 1.56810i | ||||||||
\(26\) | −2.56541e6 | + | 1.55288e6i | −0.0423451 | + | 0.0256322i | ||||
\(27\) | 5.67404e7 | + | 5.67404e7i | 0.761013 | + | 0.761013i | ||||
\(28\) | 7.29668e7 | − | 1.39421e8i | 0.801228 | − | 1.53094i | ||||
\(29\) | −1.26920e8 | + | 1.26920e8i | −1.14905 | + | 1.14905i | −0.162315 | + | 0.986739i | \(0.551896\pi\) |
−0.986739 | + | 0.162315i | \(0.948104\pi\) | |||||||
\(30\) | −1.54139e8 | − | 3.78969e7i | −1.15810 | − | 0.284732i | ||||
\(31\) | 3.46657e7 | 0.217475 | 0.108738 | − | 0.994070i | \(-0.465319\pi\) | ||||
0.108738 | + | 0.994070i | \(0.465319\pi\) | |||||||
\(32\) | 6.78244e7 | + | 1.77281e8i | 0.357323 | + | 0.933981i | ||||
\(33\) | −8.76847e7 | −0.390029 | ||||||||
\(34\) | 4.28217e8 | + | 1.05282e8i | 1.61633 | + | 0.397392i | ||||
\(35\) | −6.08404e8 | + | 6.08404e8i | −1.95802 | + | 1.95802i | ||||
\(36\) | −7.50589e7 | + | 1.43418e8i | −0.206890 | + | 0.395312i | ||||
\(37\) | 2.25685e8 | + | 2.25685e8i | 0.535048 | + | 0.535048i | 0.922070 | − | 0.387022i | \(-0.126496\pi\) |
−0.387022 | + | 0.922070i | \(0.626496\pi\) | |||||||
\(38\) | 1.56203e8 | − | 9.45519e7i | 0.319800 | − | 0.193580i | ||||
\(39\) | 2.07555e7i | 0.0368365i | ||||||||
\(40\) | −6.44720e7 | − | 1.03585e9i | −0.0995499 | − | 1.59944i | ||||
\(41\) | − | 4.55938e8i | − | 0.614603i | −0.951612 | − | 0.307302i | \(-0.900574\pi\) | ||
0.951612 | − | 0.307302i | \(-0.0994260\pi\) | |||||||
\(42\) | −5.63994e8 | − | 9.31735e8i | −0.665891 | − | 1.10007i | ||||
\(43\) | 7.03132e8 | + | 7.03132e8i | 0.729390 | + | 0.729390i | 0.970498 | − | 0.241108i | \(-0.0775108\pi\) |
−0.241108 | + | 0.970498i | \(0.577511\pi\) | |||||||
\(44\) | −1.71203e8 | − | 5.47168e8i | −0.156503 | − | 0.500185i | ||||
\(45\) | 6.25847e8 | − | 6.25847e8i | 0.505591 | − | 0.505591i | ||||
\(46\) | 3.37923e8 | − | 1.37445e9i | 0.241908 | − | 0.983921i | ||||
\(47\) | 6.32523e8 | 0.402289 | 0.201144 | − | 0.979562i | \(-0.435534\pi\) | ||||
0.201144 | + | 0.979562i | \(0.435534\pi\) | |||||||
\(48\) | 1.29278e9 | + | 2.33802e8i | 0.732312 | + | 0.132441i | ||||
\(49\) | −3.92646e9 | −1.98574 | ||||||||
\(50\) | −8.27285e8 | + | 3.36485e9i | −0.374386 | + | 1.52276i | ||||
\(51\) | 2.15814e9 | − | 2.15814e9i | 0.875880 | − | 0.875880i | ||||
\(52\) | −1.29518e8 | + | 4.05248e7i | −0.0472402 | + | 0.0147810i | ||||
\(53\) | −1.37083e9 | − | 1.37083e9i | −0.450263 | − | 0.450263i | 0.445179 | − | 0.895442i | \(-0.353140\pi\) |
−0.895442 | + | 0.445179i | \(0.853140\pi\) | |||||||
\(54\) | 1.88046e9 | + | 3.10658e9i | 0.557312 | + | 0.920697i | ||||
\(55\) | 3.13483e9i | 0.839883i | ||||||||
\(56\) | 4.71300e9 | − | 5.33862e9i | 1.14357 | − | 1.29537i | ||||
\(57\) | − | 1.26376e9i | − | 0.278198i | ||||||
\(58\) | −6.94895e9 | + | 4.20631e9i | −1.39016 | + | 0.841487i | ||||
\(59\) | 1.10533e9 | + | 1.10533e9i | 0.201282 | + | 0.201282i | 0.800549 | − | 0.599267i | \(-0.204541\pi\) |
−0.599267 | + | 0.800549i | \(0.704541\pi\) | |||||||
\(60\) | −6.36437e9 | − | 3.33084e9i | −1.05663 | − | 0.552996i | ||||
\(61\) | 3.14198e9 | − | 3.14198e9i | 0.476310 | − | 0.476310i | −0.427639 | − | 0.903949i | \(-0.640655\pi\) |
0.903949 | + | 0.427639i | \(0.140655\pi\) | |||||||
\(62\) | 1.52342e9 | + | 3.74550e8i | 0.211186 | + | 0.0519224i | ||||
\(63\) | 6.07306e9 | 0.770965 | ||||||||
\(64\) | 1.06516e9 | + | 8.52364e9i | 0.124001 | + | 0.992282i | ||||
\(65\) | 7.42033e8 | 0.0793231 | ||||||||
\(66\) | −3.85340e9 | − | 9.47401e8i | −0.378750 | − | 0.0931198i | ||||
\(67\) | −3.21875e9 | + | 3.21875e9i | −0.291256 | + | 0.291256i | −0.837576 | − | 0.546320i | \(-0.816028\pi\) |
0.546320 | + | 0.837576i | \(0.316028\pi\) | |||||||
\(68\) | 1.76809e10 | + | 9.25345e9i | 1.47471 | + | 0.771800i | ||||
\(69\) | −6.92700e9 | − | 6.92700e9i | −0.533181 | − | 0.533181i | ||||
\(70\) | −3.33105e10 | + | 2.01634e10i | −2.36888 | + | 1.43392i | ||||
\(71\) | − | 1.72208e10i | − | 1.13275i | −0.824148 | − | 0.566374i | \(-0.808346\pi\) | ||
0.824148 | − | 0.566374i | \(-0.191654\pi\) | |||||||
\(72\) | −4.84813e9 | + | 5.49168e9i | −0.295288 | + | 0.334485i | ||||
\(73\) | − | 1.53135e10i | − | 0.864566i | −0.901738 | − | 0.432283i | \(-0.857708\pi\) | ||
0.901738 | − | 0.432283i | \(-0.142292\pi\) | |||||||
\(74\) | 7.47953e9 | + | 1.23564e10i | 0.391832 | + | 0.647318i | ||||
\(75\) | 1.69583e10 | + | 1.69583e10i | 0.825173 | + | 0.825173i | ||||
\(76\) | 7.88609e9 | − | 2.46748e9i | 0.356769 | − | 0.111629i | ||||
\(77\) | −1.52098e10 | + | 1.52098e10i | −0.640359 | + | 0.640359i | ||||
\(78\) | −2.24256e8 | + | 9.12124e8i | −0.00879474 | + | 0.0357712i | ||||
\(79\) | 4.44888e10 | 1.62668 | 0.813340 | − | 0.581789i | \(-0.197647\pi\) | ||||
0.813340 | + | 0.581789i | \(0.197647\pi\) | |||||||
\(80\) | 8.35868e9 | − | 4.62182e10i | 0.285196 | − | 1.57695i | ||||
\(81\) | 1.11323e10 | 0.354747 | ||||||||
\(82\) | 4.92624e9 | − | 2.00367e10i | 0.146737 | − | 0.596829i | ||||
\(83\) | −1.61561e10 | + | 1.61561e10i | −0.450201 | + | 0.450201i | −0.895421 | − | 0.445220i | \(-0.853126\pi\) |
0.445220 | + | 0.895421i | \(0.353126\pi\) | |||||||
\(84\) | −1.47183e10 | − | 4.70398e10i | −0.383991 | − | 1.22724i | ||||
\(85\) | −7.71560e10 | − | 7.71560e10i | −1.88610 | − | 1.88610i | ||||
\(86\) | 2.33028e10 | + | 3.84970e10i | 0.534155 | + | 0.882440i | ||||
\(87\) | 5.62207e10i | 1.20932i | ||||||||
\(88\) | −1.61176e9 | − | 2.58957e10i | −0.0325572 | − | 0.523085i | ||||
\(89\) | 1.60769e10i | 0.305181i | 0.988290 | + | 0.152590i | \(0.0487615\pi\) | ||||
−0.988290 | + | 0.152590i | \(0.951238\pi\) | |||||||
\(90\) | 3.42656e10 | − | 2.07415e10i | 0.611680 | − | 0.370260i | ||||
\(91\) | 3.60024e9 | + | 3.60024e9i | 0.0604790 | + | 0.0604790i | ||||
\(92\) | 2.97008e10 | − | 5.67505e10i | 0.469824 | − | 0.897712i | ||||
\(93\) | 7.67780e9 | − | 7.67780e9i | 0.114441 | − | 0.114441i | ||||
\(94\) | 2.77969e10 | + | 6.83417e9i | 0.390655 | + | 0.0960467i | ||||
\(95\) | −4.51809e10 | −0.599066 | ||||||||
\(96\) | 5.42863e10 | + | 2.42426e10i | 0.679514 | + | 0.303451i | ||||
\(97\) | 7.16237e9 | 0.0846862 | 0.0423431 | − | 0.999103i | \(-0.486518\pi\) | ||||
0.0423431 | + | 0.999103i | \(0.486518\pi\) | |||||||
\(98\) | −1.72553e11 | − | 4.24239e10i | −1.92832 | − | 0.474097i | ||||
\(99\) | 1.56458e10 | − | 1.56458e10i | 0.165351 | − | 0.165351i | ||||
\(100\) | −7.27119e10 | + | 1.38933e11i | −0.727119 | + | 1.38933i | ||||
\(101\) | 5.25797e10 | + | 5.25797e10i | 0.497795 | + | 0.497795i | 0.910751 | − | 0.412956i | \(-0.135504\pi\) |
−0.412956 | + | 0.910751i | \(0.635504\pi\) | |||||||
\(102\) | 1.18160e11 | − | 7.15241e10i | 1.05967 | − | 0.641433i | ||||
\(103\) | 1.14829e11i | 0.975995i | 0.872845 | + | 0.487998i | \(0.162273\pi\) | ||||
−0.872845 | + | 0.487998i | \(0.837727\pi\) | |||||||
\(104\) | −6.12967e9 | + | 3.81515e8i | −0.0494030 | + | 0.00307488i | ||||
\(105\) | 2.69500e11i | 2.06071i | ||||||||
\(106\) | −4.54313e10 | − | 7.50539e10i | −0.329741 | − | 0.544742i | ||||
\(107\) | −8.73178e10 | − | 8.73178e10i | −0.601855 | − | 0.601855i | 0.338949 | − | 0.940805i | \(-0.389928\pi\) |
−0.940805 | + | 0.338949i | \(0.889928\pi\) | |||||||
\(108\) | 4.90735e10 | + | 1.56840e11i | 0.321378 | + | 1.02713i | ||||
\(109\) | −1.89356e10 | + | 1.89356e10i | −0.117878 | + | 0.117878i | −0.763585 | − | 0.645707i | \(-0.776563\pi\) |
0.645707 | + | 0.763585i | \(0.276563\pi\) | |||||||
\(110\) | −3.38706e10 | + | 1.37763e11i | −0.200523 | + | 0.815594i | ||||
\(111\) | 9.99699e10 | 0.563110 | ||||||||
\(112\) | 2.64800e11 | − | 1.83689e11i | 1.41977 | − | 0.984882i | ||||
\(113\) | 6.12609e10 | 0.312790 | 0.156395 | − | 0.987695i | \(-0.450013\pi\) | ||||
0.156395 | + | 0.987695i | \(0.450013\pi\) | |||||||
\(114\) | 1.36545e10 | − | 5.55374e10i | 0.0664199 | − | 0.270153i | ||||
\(115\) | −2.47648e11 | + | 2.47648e11i | −1.14814 | + | 1.14814i | ||||
\(116\) | −3.50827e11 | + | 1.09770e11i | −1.55087 | + | 0.485250i | ||||
\(117\) | −3.70347e9 | − | 3.70347e9i | −0.0156166 | − | 0.0156166i | ||||
\(118\) | 3.66322e10 | + | 6.05175e10i | 0.147405 | + | 0.243517i | ||||
\(119\) | − | 7.48702e11i | − | 2.87608i | ||||||
\(120\) | −2.43701e11 | − | 2.15142e11i | −0.894046 | − | 0.789275i | ||||
\(121\) | − | 2.06943e11i | − | 0.725322i | ||||||
\(122\) | 1.72026e11 | − | 1.04130e11i | 0.576255 | − | 0.348816i | ||||
\(123\) | −1.00982e11 | − | 1.00982e11i | −0.323419 | − | 0.323419i | ||||
\(124\) | 6.29016e10 | + | 3.29200e10i | 0.192682 | + | 0.100842i | ||||
\(125\) | 2.19647e11 | − | 2.19647e11i | 0.643754 | − | 0.643754i | ||||
\(126\) | 2.66887e11 | + | 6.56171e10i | 0.748669 | + | 0.184068i | ||||
\(127\) | 4.12612e11 | 1.10821 | 0.554104 | − | 0.832447i | \(-0.313061\pi\) | ||||
0.554104 | + | 0.832447i | \(0.313061\pi\) | |||||||
\(128\) | −4.52851e10 | + | 3.86089e11i | −0.116493 | + | 0.993191i | ||||
\(129\) | 3.11461e11 | 0.767644 | ||||||||
\(130\) | 3.26094e10 | + | 8.01739e9i | 0.0770291 | + | 0.0189385i | ||||
\(131\) | −2.28952e11 | + | 2.28952e11i | −0.518503 | + | 0.518503i | −0.917118 | − | 0.398615i | \(-0.869491\pi\) |
0.398615 | + | 0.917118i | \(0.369491\pi\) | |||||||
\(132\) | −1.59106e11 | − | 8.32691e10i | −0.345564 | − | 0.180854i | ||||
\(133\) | −2.19212e11 | − | 2.19212e11i | −0.456751 | − | 0.456751i | ||||
\(134\) | −1.76229e11 | + | 1.06674e11i | −0.352371 | + | 0.213296i | ||||
\(135\) | − | 8.98564e11i | − | 1.72470i | ||||||
\(136\) | 6.77028e11 | + | 5.97689e11i | 1.24779 | + | 1.10157i | ||||
\(137\) | 9.63336e11i | 1.70535i | 0.522438 | + | 0.852677i | \(0.325023\pi\) | ||||
−0.522438 | + | 0.852677i | \(0.674977\pi\) | |||||||
\(138\) | −2.29571e11 | − | 3.79258e11i | −0.390465 | − | 0.645060i | ||||
\(139\) | −8.56724e10 | − | 8.56724e10i | −0.140042 | − | 0.140042i | 0.633610 | − | 0.773652i | \(-0.281572\pi\) |
−0.773652 | + | 0.633610i | \(0.781572\pi\) | |||||||
\(140\) | −1.68173e12 | + | 5.26195e11i | −2.64272 | + | 0.826879i | ||||
\(141\) | 1.40092e11 | − | 1.40092e11i | 0.211694 | − | 0.211694i | ||||
\(142\) | 1.86065e11 | − | 7.56789e11i | 0.270445 | − | 1.09999i | ||||
\(143\) | 1.85504e10 | 0.0259421 | ||||||||
\(144\) | −2.72392e11 | + | 1.88956e11i | −0.366607 | + | 0.254312i | ||||
\(145\) | 2.00995e12 | 2.60413 | ||||||||
\(146\) | 1.65456e11 | − | 6.72968e11i | 0.206416 | − | 0.839563i | ||||
\(147\) | −8.69637e11 | + | 8.69637e11i | −1.04494 | + | 1.04494i | ||||
\(148\) | 1.95190e11 | + | 6.23830e11i | 0.225953 | + | 0.722149i | ||||
\(149\) | −9.78483e11 | − | 9.78483e11i | −1.09151 | − | 1.09151i | −0.995367 | − | 0.0961450i | \(-0.969349\pi\) |
−0.0961450 | − | 0.995367i | \(-0.530651\pi\) | |||||||
\(150\) | 5.62023e11 | + | 9.28479e11i | 0.604299 | + | 0.998321i | ||||
\(151\) | 5.06918e11i | 0.525490i | 0.964865 | + | 0.262745i | \(0.0846278\pi\) | ||||
−0.964865 | + | 0.262745i | \(0.915372\pi\) | |||||||
\(152\) | 3.73223e11 | − | 2.32297e10i | 0.373103 | − | 0.0232222i | ||||
\(153\) | 7.70168e11i | 0.742647i | ||||||||
\(154\) | −8.32745e11 | + | 5.04074e11i | −0.774726 | + | 0.468954i | ||||
\(155\) | −2.74490e11 | − | 2.74490e11i | −0.246435 | − | 0.246435i | ||||
\(156\) | −1.97103e10 | + | 3.76613e10i | −0.0170808 | + | 0.0326370i | ||||
\(157\) | 1.10917e11 | − | 1.10917e11i | 0.0928003 | − | 0.0928003i | −0.659183 | − | 0.751983i | \(-0.729098\pi\) |
0.751983 | + | 0.659183i | \(0.229098\pi\) | |||||||
\(158\) | 1.95511e12 | + | 4.80685e11i | 1.57964 | + | 0.388371i | ||||
\(159\) | −6.07226e11 | −0.473878 | ||||||||
\(160\) | 8.66701e11 | − | 1.94080e12i | 0.653446 | − | 1.46325i | ||||
\(161\) | −2.40311e12 | −1.75078 | ||||||||
\(162\) | 4.89223e11 | + | 1.20281e11i | 0.344488 | + | 0.0846961i | ||||
\(163\) | 2.13500e11 | − | 2.13500e11i | 0.145334 | − | 0.145334i | −0.630696 | − | 0.776030i | \(-0.717231\pi\) |
0.776030 | + | 0.630696i | \(0.217231\pi\) | |||||||
\(164\) | 4.32978e11 | − | 8.27309e11i | 0.284987 | − | 0.544536i | ||||
\(165\) | 6.94305e11 | + | 6.94305e11i | 0.441966 | + | 0.441966i | ||||
\(166\) | −8.84558e11 | + | 5.35437e11i | −0.544668 | + | 0.329696i | ||||
\(167\) | 1.18776e12i | 0.707601i | 0.935321 | + | 0.353801i | \(0.115111\pi\) | ||||
−0.935321 | + | 0.353801i | \(0.884889\pi\) | |||||||
\(168\) | −1.38563e11 | − | 2.22624e12i | −0.0798814 | − | 1.28343i | ||||
\(169\) | 1.78777e12i | 0.997550i | ||||||||
\(170\) | −2.55706e12 | − | 4.22435e12i | −1.38125 | − | 2.28187i | ||||
\(171\) | 2.25497e11 | + | 2.25497e11i | 0.117940 | + | 0.117940i | ||||
\(172\) | 6.08123e11 | + | 1.94357e12i | 0.308024 | + | 0.984450i | ||||
\(173\) | −2.35793e12 | + | 2.35793e12i | −1.15685 | + | 1.15685i | −0.171705 | + | 0.985148i | \(0.554928\pi\) |
−0.985148 | + | 0.171705i | \(0.945072\pi\) | |||||||
\(174\) | −6.07444e11 | + | 2.47068e12i | −0.288726 | + | 1.17435i | ||||
\(175\) | 5.88316e12 | 2.70958 | ||||||||
\(176\) | 2.08962e11 | − | 1.15543e12i | 0.0932714 | − | 0.515731i | ||||
\(177\) | 4.89619e11 | 0.211839 | ||||||||
\(178\) | −1.73705e11 | + | 7.06517e11i | −0.0728622 | + | 0.296355i | ||||
\(179\) | −9.13904e11 | + | 9.13904e11i | −0.371714 | + | 0.371714i | −0.868101 | − | 0.496387i | \(-0.834660\pi\) |
0.496387 | + | 0.868101i | \(0.334660\pi\) | |||||||
\(180\) | 1.72994e12 | − | 5.41281e11i | 0.682391 | − | 0.213513i | ||||
\(181\) | −2.20066e12 | − | 2.20066e12i | −0.842016 | − | 0.842016i | 0.147104 | − | 0.989121i | \(-0.453005\pi\) |
−0.989121 | + | 0.147104i | \(0.953005\pi\) | |||||||
\(182\) | 1.19317e11 | + | 1.97116e11i | 0.0442906 | + | 0.0731694i | ||||
\(183\) | − | 1.39178e12i | − | 0.501291i | ||||||
\(184\) | 1.91840e12 | − | 2.17306e12i | 0.670566 | − | 0.759580i | ||||
\(185\) | − | 3.57404e12i | − | 1.21259i | ||||||
\(186\) | 4.20365e11 | − | 2.54453e11i | 0.138454 | − | 0.0838083i | ||||
\(187\) | −1.92886e12 | − | 1.92886e12i | −0.616839 | − | 0.616839i | ||||
\(188\) | 1.14772e12 | + | 6.00670e11i | 0.356426 | + | 0.186538i | ||||
\(189\) | 4.35971e12 | − | 4.35971e12i | 1.31498 | − | 1.31498i | ||||
\(190\) | −1.98552e12 | − | 4.88163e11i | −0.581742 | − | 0.143028i | ||||
\(191\) | −4.16073e12 | −1.18437 | −0.592183 | − | 0.805804i | \(-0.701734\pi\) | ||||
−0.592183 | + | 0.805804i | \(0.701734\pi\) | |||||||
\(192\) | 2.12374e12 | + | 1.65191e12i | 0.587414 | + | 0.456910i | ||||
\(193\) | 2.38918e12 | 0.642220 | 0.321110 | − | 0.947042i | \(-0.395944\pi\) | ||||
0.321110 | + | 0.947042i | \(0.395944\pi\) | |||||||
\(194\) | 3.14758e11 | + | 7.73868e10i | 0.0822371 | + | 0.0202189i | ||||
\(195\) | 1.64346e11 | − | 1.64346e11i | 0.0417417 | − | 0.0417417i | ||||
\(196\) | −7.12464e12 | − | 3.72873e12i | −1.75936 | − | 0.920774i | ||||
\(197\) | −3.41311e12 | − | 3.41311e12i | −0.819569 | − | 0.819569i | 0.166476 | − | 0.986045i | \(-0.446761\pi\) |
−0.986045 | + | 0.166476i | \(0.946761\pi\) | |||||||
\(198\) | 8.56622e11 | − | 5.18526e11i | 0.200046 | − | 0.121091i | ||||
\(199\) | 5.08486e12i | 1.15501i | 0.816386 | + | 0.577507i | \(0.195974\pi\) | ||||
−0.816386 | + | 0.577507i | \(0.804026\pi\) | |||||||
\(200\) | −4.69653e12 | + | 5.31996e12i | −1.03780 | + | 1.17556i | ||||
\(201\) | 1.42578e12i | 0.306532i | ||||||||
\(202\) | 1.74257e12 | + | 2.87878e12i | 0.364551 | + | 0.602249i | ||||
\(203\) | 9.75203e12 | + | 9.75203e12i | 1.98549 | + | 1.98549i | ||||
\(204\) | 5.96546e12 | − | 1.86653e12i | 1.18216 | − | 0.369887i | ||||
\(205\) | −3.61021e12 | + | 3.61021e12i | −0.696444 | + | 0.696444i | ||||
\(206\) | −1.24069e12 | + | 5.04630e12i | −0.233020 | + | 0.947770i | ||||
\(207\) | 2.47201e12 | 0.452078 | ||||||||
\(208\) | −2.73497e11 | − | 4.94627e10i | −0.0487085 | − | 0.00880906i | ||||
\(209\) | −1.12950e12 | −0.195921 | ||||||||
\(210\) | −2.91185e12 | + | 1.18435e13i | −0.491997 | + | 2.00112i | ||||
\(211\) | −1.13531e12 | + | 1.13531e12i | −0.186880 | + | 0.186880i | −0.794346 | − | 0.607466i | \(-0.792186\pi\) |
0.607466 | + | 0.794346i | \(0.292186\pi\) | |||||||
\(212\) | −1.18560e12 | − | 3.78919e12i | −0.190148 | − | 0.607715i | ||||
\(213\) | −3.81410e12 | − | 3.81410e12i | −0.596079 | − | 0.596079i | ||||
\(214\) | −2.89384e12 | − | 4.78071e12i | −0.440757 | − | 0.728143i | ||||
\(215\) | − | 1.11351e13i | − | 1.65303i | ||||||
\(216\) | 4.61995e11 | + | 7.42272e12i | 0.0668562 | + | 1.07416i | ||||
\(217\) | − | 2.66358e12i | − | 0.375782i | ||||||
\(218\) | −1.03674e12 | + | 6.27555e11i | −0.142613 | + | 0.0863258i | ||||
\(219\) | −3.39165e12 | − | 3.39165e12i | −0.454955 | − | 0.454955i | ||||
\(220\) | −2.97696e12 | + | 5.68820e12i | −0.389447 | + | 0.744133i | ||||
\(221\) | −4.56573e11 | + | 4.56573e11i | −0.0582576 | + | 0.0582576i | ||||
\(222\) | 4.39329e12 | + | 1.08014e12i | 0.546825 | + | 0.134443i | ||||
\(223\) | 4.96676e12 | 0.603110 | 0.301555 | − | 0.953449i | \(-0.402494\pi\) | ||||
0.301555 | + | 0.953449i | \(0.402494\pi\) | |||||||
\(224\) | 1.36216e13 | − | 5.21136e12i | 1.61385 | − | 0.617429i | ||||
\(225\) | −6.05184e12 | −0.699654 | ||||||||
\(226\) | 2.69218e12 | + | 6.61902e11i | 0.303744 | + | 0.0746787i | ||||
\(227\) | 9.95306e12 | − | 9.95306e12i | 1.09601 | − | 1.09601i | 0.101137 | − | 0.994873i | \(-0.467752\pi\) |
0.994873 | − | 0.101137i | \(-0.0322479\pi\) | |||||||
\(228\) | 1.20012e12 | − | 2.29312e12i | 0.128998 | − | 0.246482i | ||||
\(229\) | 1.28407e13 | + | 1.28407e13i | 1.34739 | + | 1.34739i | 0.888490 | + | 0.458896i | \(0.151755\pi\) |
0.458896 | + | 0.888490i | \(0.348245\pi\) | |||||||
\(230\) | −1.35589e13 | + | 8.20741e12i | −1.38906 | + | 0.840820i | ||||
\(231\) | 6.73735e12i | 0.673943i | ||||||||
\(232\) | −1.66035e13 | + | 1.03341e12i | −1.62187 | + | 0.100946i | ||||
\(233\) | − | 1.48141e13i | − | 1.41325i | −0.707590 | − | 0.706624i | \(-0.750217\pi\) | ||
0.707590 | − | 0.706624i | \(-0.249783\pi\) | |||||||
\(234\) | −1.22738e11 | − | 2.02768e11i | −0.0114365 | − | 0.0188935i | ||||
\(235\) | −5.00844e12 | − | 5.00844e12i | −0.455858 | − | 0.455858i | ||||
\(236\) | 9.55973e11 | + | 3.05530e12i | 0.0850021 | + | 0.271668i | ||||
\(237\) | 9.85344e12 | − | 9.85344e12i | 0.855997 | − | 0.855997i | ||||
\(238\) | 8.08944e12 | − | 3.29025e13i | 0.686666 | − | 2.79290i | ||||
\(239\) | −1.49728e13 | −1.24198 | −0.620991 | − | 0.783818i | \(-0.713270\pi\) | ||||
−0.620991 | + | 0.783818i | \(0.713270\pi\) | |||||||
\(240\) | −8.38516e12 | − | 1.20877e13i | −0.679751 | − | 0.979904i | ||||
\(241\) | −1.47290e13 | −1.16703 | −0.583513 | − | 0.812104i | \(-0.698322\pi\) | ||||
−0.583513 | + | 0.812104i | \(0.698322\pi\) | |||||||
\(242\) | 2.23594e12 | − | 9.09433e12i | 0.173171 | − | 0.704346i | ||||
\(243\) | −7.58579e12 | + | 7.58579e12i | −0.574336 | + | 0.574336i | ||||
\(244\) | 8.68495e12 | − | 2.71743e12i | 0.642870 | − | 0.201147i | ||||
\(245\) | 3.10905e13 | + | 3.10905e13i | 2.25016 | + | 2.25016i | ||||
\(246\) | −3.34669e12 | − | 5.52883e12i | −0.236849 | − | 0.391282i | ||||
\(247\) | 2.67359e11i | 0.0185038i | ||||||||
\(248\) | 2.40859e12 | + | 2.12633e12i | 0.163034 | + | 0.143929i | ||||
\(249\) | 7.15654e12i | 0.473813i | ||||||||
\(250\) | 1.20258e13 | − | 7.27942e12i | 0.778834 | − | 0.471440i | ||||
\(251\) | −9.46342e12 | − | 9.46342e12i | −0.599574 | − | 0.599574i | 0.340625 | − | 0.940199i | \(-0.389361\pi\) |
−0.940199 | + | 0.340625i | \(0.889361\pi\) | |||||||
\(252\) | 1.10197e13 | + | 5.76723e12i | 0.683072 | + | 0.357491i | ||||
\(253\) | −6.19106e12 | + | 6.19106e12i | −0.375493 | + | 0.375493i | ||||
\(254\) | 1.81327e13 | + | 4.45812e12i | 1.07616 | + | 0.264586i | ||||
\(255\) | −3.41772e13 | −1.98502 | ||||||||
\(256\) | −6.16166e12 | + | 1.64778e13i | −0.350250 | + | 0.936656i | ||||
\(257\) | 5.66495e12 | 0.315184 | 0.157592 | − | 0.987504i | \(-0.449627\pi\) | ||||
0.157592 | + | 0.987504i | \(0.449627\pi\) | |||||||
\(258\) | 1.36875e13 | + | 3.36522e12i | 0.745445 | + | 0.183276i | ||||
\(259\) | 1.73407e13 | − | 1.73407e13i | 0.924526 | − | 0.924526i | ||||
\(260\) | 1.34643e12 | + | 7.04666e11i | 0.0702799 | + | 0.0367815i | ||||
\(261\) | −1.00316e13 | − | 1.00316e13i | −0.512683 | − | 0.512683i | ||||
\(262\) | −1.25353e13 | + | 7.58779e12i | −0.627302 | + | 0.379715i | ||||
\(263\) | 3.10458e13i | 1.52141i | 0.649097 | + | 0.760706i | \(0.275147\pi\) | ||||
−0.649097 | + | 0.760706i | \(0.724853\pi\) | |||||||
\(264\) | −6.09238e12 | − | 5.37843e12i | −0.292392 | − | 0.258127i | ||||
\(265\) | 2.17090e13i | 1.02044i | ||||||||
\(266\) | −7.26500e12 | − | 1.20020e13i | −0.334493 | − | 0.552592i | ||||
\(267\) | 3.56073e12 | + | 3.56073e12i | 0.160593 | + | 0.160593i | ||||
\(268\) | −8.89714e12 | + | 2.78382e12i | −0.393105 | + | 0.122999i | ||||
\(269\) | −2.02024e13 | + | 2.02024e13i | −0.874511 | + | 0.874511i | −0.992960 | − | 0.118449i | \(-0.962208\pi\) |
0.118449 | + | 0.992960i | \(0.462208\pi\) | |||||||
\(270\) | 9.70865e12 | − | 3.94884e13i | 0.411773 | − | 1.67482i | ||||
\(271\) | 5.30222e12 | 0.220357 | 0.110179 | − | 0.993912i | \(-0.464858\pi\) | ||||
0.110179 | + | 0.993912i | \(0.464858\pi\) | |||||||
\(272\) | 2.32949e13 | + | 3.35811e13i | 0.948708 | + | 1.36762i | ||||
\(273\) | 1.59477e12 | 0.0636509 | ||||||||
\(274\) | −1.04085e13 | + | 4.23349e13i | −0.407155 | + | 1.65604i | ||||
\(275\) | 1.51566e13 | − | 1.51566e13i | 0.581129 | − | 0.581129i | ||||
\(276\) | −5.99100e12 | − | 1.91473e13i | −0.225164 | − | 0.719629i | ||||
\(277\) | 6.60723e12 | + | 6.60723e12i | 0.243434 | + | 0.243434i | 0.818269 | − | 0.574835i | \(-0.194934\pi\) |
−0.574835 | + | 0.818269i | \(0.694934\pi\) | |||||||
\(278\) | −2.83931e12 | − | 4.69062e12i | −0.102557 | − | 0.169428i | ||||
\(279\) | 2.73994e12i | 0.0970328i | ||||||||
\(280\) | −7.95907e13 | + | 4.95377e12i | −2.76371 | + | 0.172015i | ||||
\(281\) | − | 3.22319e13i | − | 1.09749i | −0.835990 | − | 0.548745i | \(-0.815106\pi\) | ||
0.835990 | − | 0.548745i | \(-0.184894\pi\) | |||||||
\(282\) | 7.67013e12 | − | 4.64285e12i | 0.256114 | − | 0.155030i | ||||
\(283\) | 9.31687e12 | + | 9.31687e12i | 0.305102 | + | 0.305102i | 0.843006 | − | 0.537904i | \(-0.180784\pi\) |
−0.537904 | + | 0.843006i | \(0.680784\pi\) | |||||||
\(284\) | 1.63537e13 | − | 3.12476e13i | 0.525247 | − | 1.00361i | ||||
\(285\) | −1.00067e13 | + | 1.00067e13i | −0.315243 | + | 0.315243i | ||||
\(286\) | 8.15219e11 | + | 2.00430e11i | 0.0251919 | + | 0.00619370i | ||||
\(287\) | −3.50325e13 | −1.06199 | ||||||||
\(288\) | −1.40122e13 | + | 5.36078e12i | −0.416722 | + | 0.159430i | ||||
\(289\) | 6.06763e13 | 1.77044 | ||||||||
\(290\) | 8.83296e13 | + | 2.17168e13i | 2.52882 | + | 0.621737i | ||||
\(291\) | 1.58633e12 | − | 1.58633e12i | 0.0445638 | − | 0.0445638i | ||||
\(292\) | 1.45423e13 | − | 2.77866e13i | 0.400893 | − | 0.766002i | ||||
\(293\) | −1.68183e13 | − | 1.68183e13i | −0.454999 | − | 0.454999i | 0.442010 | − | 0.897010i | \(-0.354265\pi\) |
−0.897010 | + | 0.442010i | \(0.854265\pi\) | |||||||
\(294\) | −4.76133e13 | + | 2.88211e13i | −1.26421 | + | 0.765244i | ||||
\(295\) | − | 1.75044e13i | − | 0.456170i | ||||||
\(296\) | 1.83758e12 | + | 2.95238e13i | 0.0470048 | + | 0.755211i | ||||
\(297\) | − | 2.24636e13i | − | 0.564052i | ||||||
\(298\) | −3.24284e13 | − | 5.35726e13i | −0.799347 | − | 1.32055i | ||||
\(299\) | 1.46546e12 | + | 1.46546e12i | 0.0354636 | + | 0.0354636i | ||||
\(300\) | 1.46668e13 | + | 4.68755e13i | 0.348474 | + | 1.11373i | ||||
\(301\) | 5.40259e13 | − | 5.40259e13i | 1.26034 | − | 1.26034i | ||||
\(302\) | −5.47706e12 | + | 2.22771e13i | −0.125461 | + | 0.510293i | ||||
\(303\) | 2.32909e13 | 0.523903 | ||||||||
\(304\) | 1.66527e13 | + | 3.01169e12i | 0.367858 | + | 0.0665281i | ||||
\(305\) | −4.97577e13 | −1.07947 | ||||||||
\(306\) | −8.32138e12 | + | 3.38459e13i | −0.177308 | + | 0.721171i | ||||
\(307\) | −7.64934e12 | + | 7.64934e12i | −0.160089 | + | 0.160089i | −0.782606 | − | 0.622517i | \(-0.786110\pi\) |
0.622517 | + | 0.782606i | \(0.286110\pi\) | |||||||
\(308\) | −4.20422e13 | + | 1.31546e13i | −0.864285 | + | 0.270426i | ||||
\(309\) | 2.54325e13 | + | 2.54325e13i | 0.513591 | + | 0.513591i | ||||
\(310\) | −9.09699e12 | − | 1.50285e13i | −0.180471 | − | 0.298144i | ||||
\(311\) | − | 4.12580e13i | − | 0.804129i | −0.915611 | − | 0.402065i | \(-0.868293\pi\) | ||
0.915611 | − | 0.402065i | \(-0.131707\pi\) | |||||||
\(312\) | −1.27311e12 | + | 1.44211e12i | −0.0243790 | + | 0.0276151i | ||||
\(313\) | − | 1.92404e13i | − | 0.362009i | −0.983482 | − | 0.181004i | \(-0.942065\pi\) | ||
0.983482 | − | 0.181004i | \(-0.0579348\pi\) | |||||||
\(314\) | 6.07278e12 | − | 3.67595e12i | 0.112273 | − | 0.0679604i | ||||
\(315\) | −4.80877e13 | − | 4.80877e13i | −0.873626 | − | 0.873626i | ||||
\(316\) | 8.07259e13 | + | 4.22485e13i | 1.44123 | + | 0.754279i | ||||
\(317\) | −2.64067e13 | + | 2.64067e13i | −0.463327 | + | 0.463327i | −0.899744 | − | 0.436417i | \(-0.856247\pi\) |
0.436417 | + | 0.899744i | \(0.356247\pi\) | |||||||
\(318\) | −2.66852e13 | − | 6.56085e12i | −0.460173 | − | 0.113139i | ||||
\(319\) | 5.02477e13 | 0.851663 | ||||||||
\(320\) | 5.90577e13 | − | 7.59260e13i | 0.983902 | − | 1.26493i | ||||
\(321\) | −3.86785e13 | −0.633420 | ||||||||
\(322\) | −1.05607e14 | − | 2.59647e13i | −1.70015 | − | 0.418000i | ||||
\(323\) | 2.77998e13 | − | 2.77998e13i | 0.439975 | − | 0.439975i | ||||
\(324\) | 2.01998e13 | + | 1.05717e13i | 0.314304 | + | 0.164494i | ||||
\(325\) | −3.58766e12 | − | 3.58766e12i | −0.0548850 | − | 0.0548850i | ||||
\(326\) | 1.16893e13 | − | 7.07572e12i | 0.175830 | − | 0.106432i | ||||
\(327\) | 8.38777e12i | 0.124061i | ||||||||
\(328\) | 2.79665e13 | − | 3.16788e13i | 0.406754 | − | 0.460748i | ||||
\(329\) | − | 4.86006e13i | − | 0.695127i | ||||||
\(330\) | 2.30103e13 | + | 3.80137e13i | 0.323665 | + | 0.534704i | ||||
\(331\) | 7.13929e13 | + | 7.13929e13i | 0.987645 | + | 0.987645i | 0.999925 | − | 0.0122794i | \(-0.00390875\pi\) |
−0.0122794 | + | 0.999925i | \(0.503909\pi\) | |||||||
\(332\) | −4.46581e13 | + | 1.39730e13i | −0.607632 | + | 0.190122i | ||||
\(333\) | −1.78379e13 | + | 1.78379e13i | −0.238727 | + | 0.238727i | ||||
\(334\) | −1.28333e13 | + | 5.21975e13i | −0.168940 | + | 0.687138i | ||||
\(335\) | 5.09734e13 | 0.660080 | ||||||||
\(336\) | 1.79644e13 | − | 9.93318e13i | 0.228848 | − | 1.26538i | ||||
\(337\) | −1.21387e14 | −1.52128 | −0.760640 | − | 0.649174i | \(-0.775115\pi\) | ||||
−0.760640 | + | 0.649174i | \(0.775115\pi\) | |||||||
\(338\) | −1.93162e13 | + | 7.85655e13i | −0.238166 | + | 0.968702i | ||||
\(339\) | 1.35681e13 | − | 1.35681e13i | 0.164597 | − | 0.164597i | ||||
\(340\) | −6.67305e13 | − | 2.13272e14i | −0.796509 | − | 2.54565i | ||||
\(341\) | −6.86209e12 | − | 6.86209e12i | −0.0805949 | − | 0.0805949i | ||||
\(342\) | 7.47330e12 | + | 1.23461e13i | 0.0863711 | + | 0.142688i | ||||
\(343\) | 1.49764e14i | 1.70329i | ||||||||
\(344\) | 5.72507e12 | + | 9.19829e13i | 0.0640781 | + | 1.02952i | ||||
\(345\) | 1.09699e14i | 1.20836i | ||||||||
\(346\) | −1.29099e14 | + | 7.81454e13i | −1.39960 | + | 0.847198i | ||||
\(347\) | 7.47878e13 | + | 7.47878e13i | 0.798029 | + | 0.798029i | 0.982784 | − | 0.184756i | \(-0.0591494\pi\) |
−0.184756 | + | 0.982784i | \(0.559149\pi\) | |||||||
\(348\) | −5.33896e13 | + | 1.02014e14i | −0.560752 | + | 1.07145i | ||||
\(349\) | 8.65476e13 | − | 8.65476e13i | 0.894778 | − | 0.894778i | −0.100190 | − | 0.994968i | \(-0.531945\pi\) |
0.994968 | + | 0.100190i | \(0.0319452\pi\) | |||||||
\(350\) | 2.58542e14 | + | 6.35653e13i | 2.63122 | + | 0.646913i | ||||
\(351\) | −5.31728e12 | −0.0532721 | ||||||||
\(352\) | 2.16671e13 | − | 4.85188e13i | 0.213705 | − | 0.478548i | ||||
\(353\) | 6.93898e13 | 0.673806 | 0.336903 | − | 0.941539i | \(-0.390621\pi\) | ||||
0.336903 | + | 0.941539i | \(0.390621\pi\) | |||||||
\(354\) | 2.15168e13 | + | 5.29015e12i | 0.205712 | + | 0.0505766i | ||||
\(355\) | −1.36358e14 | + | 1.36358e14i | −1.28359 | + | 1.28359i | ||||
\(356\) | −1.52673e13 | + | 2.91719e13i | −0.141510 | + | 0.270389i | ||||
\(357\) | −1.65823e14 | − | 1.65823e14i | −1.51346 | − | 1.51346i | ||||
\(358\) | −5.00369e13 | + | 3.02881e13i | −0.449711 | + | 0.272217i | ||||
\(359\) | − | 4.38782e13i | − | 0.388355i | −0.980966 | − | 0.194177i | \(-0.937796\pi\) | ||
0.980966 | − | 0.194177i | \(-0.0622038\pi\) | |||||||
\(360\) | 8.18726e13 | − | 5.09581e12i | 0.713633 | − | 0.0444170i | ||||
\(361\) | 1.00211e14i | 0.860255i | ||||||||
\(362\) | −7.29331e13 | − | 1.20488e14i | −0.616634 | − | 1.01870i | ||||
\(363\) | −4.58339e13 | − | 4.58339e13i | −0.381681 | − | 0.381681i | ||||
\(364\) | 3.11377e12 | + | 9.95166e12i | 0.0255405 | + | 0.0816278i | ||||
\(365\) | −1.21255e14 | + | 1.21255e14i | −0.979692 | + | 0.979692i | ||||
\(366\) | 1.50377e13 | − | 6.11633e13i | 0.119684 | − | 0.486794i | ||||
\(367\) | −3.72992e13 | −0.292440 | −0.146220 | − | 0.989252i | \(-0.546711\pi\) | ||||
−0.146220 | + | 0.989252i | \(0.546711\pi\) | |||||||
\(368\) | 1.07785e14 | − | 7.47698e13i | 0.832525 | − | 0.577515i | ||||
\(369\) | 3.60370e13 | 0.274223 | ||||||||
\(370\) | 3.86161e13 | − | 1.57065e14i | 0.289507 | − | 1.17752i | ||||
\(371\) | −1.05329e14 | + | 1.05329e14i | −0.778023 | + | 0.778023i | ||||
\(372\) | 2.12227e13 | − | 6.64035e12i | 0.154459 | − | 0.0483287i | ||||
\(373\) | 1.64745e12 | + | 1.64745e12i | 0.0118144 | + | 0.0118144i | 0.712989 | − | 0.701175i | \(-0.247341\pi\) |
−0.701175 | + | 0.712989i | \(0.747341\pi\) | |||||||
\(374\) | −6.39252e13 | − | 1.05606e14i | −0.451730 | − | 0.746271i | ||||
\(375\) | − | 9.72953e13i | − | 0.677517i | ||||||
\(376\) | 4.39480e13 | + | 3.87979e13i | 0.301583 | + | 0.266241i | ||||
\(377\) | − | 1.18940e13i | − | 0.0804357i | ||||||
\(378\) | 2.38697e14 | − | 1.44487e14i | 1.59090 | − | 0.962997i | ||||
\(379\) | 9.18784e13 | + | 9.18784e13i | 0.603529 | + | 0.603529i | 0.941247 | − | 0.337718i | \(-0.109655\pi\) |
−0.337718 | + | 0.941247i | \(0.609655\pi\) | |||||||
\(380\) | −8.19816e13 | − | 4.29057e13i | −0.530770 | − | 0.277783i | ||||
\(381\) | 9.13858e13 | − | 9.13858e13i | 0.583165 | − | 0.583165i | ||||
\(382\) | −1.82848e14 | − | 4.49551e13i | −1.15011 | − | 0.282768i | ||||
\(383\) | 2.80515e14 | 1.73925 | 0.869627 | − | 0.493709i | \(-0.164359\pi\) | ||||
0.869627 | + | 0.493709i | \(0.164359\pi\) | |||||||
\(384\) | 7.54817e13 | + | 9.55414e13i | 0.461339 | + | 0.583942i | ||||
\(385\) | 2.40868e14 | 1.45126 | ||||||||
\(386\) | 1.04995e14 | + | 2.58142e13i | 0.623647 | + | 0.153330i | ||||
\(387\) | −5.55749e13 | + | 5.55749e13i | −0.325438 | + | 0.325438i | ||||
\(388\) | 1.29963e13 | + | 6.80170e12i | 0.0750316 | + | 0.0392684i | ||||
\(389\) | −4.93119e13 | − | 4.93119e13i | −0.280691 | − | 0.280691i | 0.552693 | − | 0.833385i | \(-0.313600\pi\) |
−0.833385 | + | 0.552693i | \(0.813600\pi\) | |||||||
\(390\) | 8.99808e12 | − | 5.44668e12i | 0.0505004 | − | 0.0305687i | ||||
\(391\) | − | 3.04756e14i | − | 1.68647i | ||||||
\(392\) | −2.72813e14 | − | 2.40842e14i | −1.48864 | − | 1.31419i | ||||
\(393\) | 1.01417e14i | 0.545697i | ||||||||
\(394\) | −1.13115e14 | − | 1.86870e14i | −0.600195 | − | 0.991541i | ||||
\(395\) | −3.52271e14 | − | 3.52271e14i | −1.84329 | − | 1.84329i | ||||
\(396\) | 4.32477e13 | − | 1.35317e13i | 0.223172 | − | 0.0698281i | ||||
\(397\) | −1.03749e14 | + | 1.03749e14i | −0.528001 | + | 0.528001i | −0.919976 | − | 0.391975i | \(-0.871792\pi\) |
0.391975 | + | 0.919976i | \(0.371792\pi\) | |||||||
\(398\) | −5.49400e13 | + | 2.23460e14i | −0.275760 | + | 1.12161i | ||||
\(399\) | −9.71026e13 | −0.480706 | ||||||||
\(400\) | −2.63874e14 | + | 1.83047e14i | −1.28845 | + | 0.893786i | ||||
\(401\) | 1.70773e14 | 0.822481 | 0.411241 | − | 0.911527i | \(-0.365096\pi\) | ||||
0.411241 | + | 0.911527i | \(0.365096\pi\) | |||||||
\(402\) | −1.54051e13 | + | 6.26577e13i | −0.0731847 | + | 0.297667i | ||||
\(403\) | −1.62430e12 | + | 1.62430e12i | −0.00761182 | + | 0.00761182i | ||||
\(404\) | 4.54750e13 | + | 1.45339e14i | 0.210221 | + | 0.671869i | ||||
\(405\) | −8.81480e13 | − | 8.81480e13i | −0.401985 | − | 0.401985i | ||||
\(406\) | 3.23197e14 | + | 5.33931e14i | 1.45403 | + | 2.40210i | ||||
\(407\) | − | 8.93489e13i | − | 0.396570i | ||||||
\(408\) | 2.82326e14 | − | 1.75721e13i | 1.23629 | − | 0.0769474i | ||||
\(409\) | − | 1.45021e14i | − | 0.626544i | −0.949664 | − | 0.313272i | \(-0.898575\pi\) | ||
0.949664 | − | 0.313272i | \(-0.101425\pi\) | |||||||
\(410\) | −1.97662e14 | + | 1.19648e14i | −0.842580 | + | 0.510027i | ||||
\(411\) | 2.13361e14 | + | 2.13361e14i | 0.897397 | + | 0.897397i | ||||
\(412\) | −1.09047e14 | + | 2.08360e14i | −0.452562 | + | 0.864728i | ||||
\(413\) | 8.49291e13 | − | 8.49291e13i | 0.347801 | − | 0.347801i | ||||
\(414\) | 1.08635e14 | + | 2.67091e13i | 0.439004 | + | 0.107934i | ||||
\(415\) | 2.55854e14 | 1.02030 | ||||||||
\(416\) | −1.14847e13 | − | 5.12873e12i | −0.0451967 | − | 0.0201835i | ||||
\(417\) | −3.79496e13 | −0.147387 | ||||||||
\(418\) | −4.96370e13 | − | 1.22038e13i | −0.190255 | − | 0.0467763i | ||||
\(419\) | −3.03198e13 | + | 3.03198e13i | −0.114696 | + | 0.114696i | −0.762126 | − | 0.647429i | \(-0.775844\pi\) |
0.647429 | + | 0.762126i | \(0.275844\pi\) | |||||||
\(420\) | −2.55929e14 | + | 4.89013e14i | −0.955538 | + | 1.82578i | ||||
\(421\) | 1.85927e14 | + | 1.85927e14i | 0.685159 | + | 0.685159i | 0.961158 | − | 0.275999i | \(-0.0890086\pi\) |
−0.275999 | + | 0.961158i | \(0.589009\pi\) | |||||||
\(422\) | −6.21593e13 | + | 3.76260e13i | −0.226093 | + | 0.136858i | ||||
\(423\) | 4.99940e13i | 0.179492i | ||||||||
\(424\) | −1.11616e13 | − | 1.79330e14i | −0.0395563 | − | 0.635538i | ||||
\(425\) | 7.46086e14i | 2.61005i | ||||||||
\(426\) | −1.26405e14 | − | 2.08824e14i | −0.436526 | − | 0.721155i | ||||
\(427\) | −2.41418e14 | − | 2.41418e14i | −0.823030 | − | 0.823030i | ||||
\(428\) | −7.55192e13 | − | 2.41361e14i | −0.254166 | − | 0.812317i | ||||
\(429\) | 4.10857e12 | − | 4.10857e12i | 0.0136513 | − | 0.0136513i | ||||
\(430\) | 1.20310e14 | − | 4.89343e14i | 0.394663 | − | 1.60523i | ||||
\(431\) | −3.76849e14 | −1.22051 | −0.610257 | − | 0.792204i | \(-0.708934\pi\) | ||||
−0.610257 | + | 0.792204i | \(0.708934\pi\) | |||||||
\(432\) | −5.98968e13 | + | 3.31191e14i | −0.191533 | + | 1.05905i | ||||
\(433\) | 4.33418e14 | 1.36843 | 0.684217 | − | 0.729279i | \(-0.260144\pi\) | ||||
0.684217 | + | 0.729279i | \(0.260144\pi\) | |||||||
\(434\) | 2.87789e13 | − | 1.17054e14i | 0.0897183 | − | 0.364915i | ||||
\(435\) | 4.45167e14 | − | 4.45167e14i | 1.37035 | − | 1.37035i | ||||
\(436\) | −5.23411e13 | + | 1.63770e13i | −0.159099 | + | 0.0497804i | ||||
\(437\) | −8.92291e13 | − | 8.92291e13i | −0.267830 | − | 0.267830i | ||||
\(438\) | −1.12404e14 | − | 1.85695e14i | −0.333177 | − | 0.550419i | ||||
\(439\) | 3.58435e14i | 1.04919i | 0.851351 | + | 0.524597i | \(0.175784\pi\) | ||||
−0.851351 | + | 0.524597i | \(0.824216\pi\) | |||||||
\(440\) | −1.92285e14 | + | 2.17809e14i | −0.555847 | + | 0.629632i | ||||
\(441\) | − | 3.10344e14i | − | 0.885995i | ||||||
\(442\) | −2.49977e13 | + | 1.51315e13i | −0.0704819 | + | 0.0426638i | ||||
\(443\) | −4.66000e14 | − | 4.66000e14i | −1.29767 | − | 1.29767i | −0.929925 | − | 0.367749i | \(-0.880129\pi\) |
−0.367749 | − | 0.929925i | \(-0.619871\pi\) | |||||||
\(444\) | 1.81397e14 | + | 9.49357e13i | 0.498913 | + | 0.261110i | ||||
\(445\) | 1.27300e14 | − | 1.27300e14i | 0.345819 | − | 0.345819i | ||||
\(446\) | 2.18270e14 | + | 5.36640e13i | 0.585668 | + | 0.143993i | ||||
\(447\) | −4.33431e14 | −1.14876 | ||||||||
\(448\) | 6.54923e14 | − | 8.18427e13i | 1.71459 | − | 0.214265i | ||||
\(449\) | −5.16408e14 | −1.33548 | −0.667741 | − | 0.744394i | \(-0.732739\pi\) | ||||
−0.667741 | + | 0.744394i | \(0.732739\pi\) | |||||||
\(450\) | −2.65955e14 | − | 6.53878e13i | −0.679421 | − | 0.167043i | ||||
\(451\) | −9.02533e13 | + | 9.02533e13i | −0.227768 | + | 0.227768i | ||||
\(452\) | 1.11159e14 | + | 5.81760e13i | 0.277130 | + | 0.145038i | ||||
\(453\) | 1.12273e14 | + | 1.12273e14i | 0.276525 | + | 0.276525i | ||||
\(454\) | 5.44937e14 | − | 3.29859e14i | 1.32599 | − | 0.802641i | ||||
\(455\) | − | 5.70149e13i | − | 0.137065i | ||||||
\(456\) | 7.75170e13 | − | 8.78069e13i | 0.184116 | − | 0.208556i | ||||
\(457\) | − | 2.08085e14i | − | 0.488316i | −0.969735 | − | 0.244158i | \(-0.921488\pi\) | ||
0.969735 | − | 0.244158i | \(-0.0785115\pi\) | |||||||
\(458\) | 4.25558e14 | + | 7.03035e14i | 0.986731 | + | 1.63011i | ||||
\(459\) | 5.52887e14 | + | 5.52887e14i | 1.26668 | + | 1.26668i | ||||
\(460\) | −6.84539e14 | + | 2.14185e14i | −1.54964 | + | 0.484865i | ||||
\(461\) | 1.82664e14 | − | 1.82664e14i | 0.408599 | − | 0.408599i | −0.472651 | − | 0.881250i | \(-0.656703\pi\) |
0.881250 | + | 0.472651i | \(0.156703\pi\) | |||||||
\(462\) | −7.27946e13 | + | 2.96080e14i | −0.160905 | + | 0.654454i | ||||
\(463\) | 1.40941e13 | 0.0307851 | 0.0153926 | − | 0.999882i | \(-0.495100\pi\) | ||||
0.0153926 | + | 0.999882i | \(0.495100\pi\) | |||||||
\(464\) | −7.40825e14 | − | 1.33980e14i | −1.59907 | − | 0.289196i | ||||
\(465\) | −1.21589e14 | −0.259359 | ||||||||
\(466\) | 1.60061e14 | − | 6.51023e14i | 0.337414 | − | 1.37238i | ||||
\(467\) | −3.52064e14 | + | 3.52064e14i | −0.733465 | + | 0.733465i | −0.971304 | − | 0.237840i | \(-0.923561\pi\) |
0.237840 | + | 0.971304i | \(0.423561\pi\) | |||||||
\(468\) | −3.20305e12 | − | 1.02370e13i | −0.00659494 | − | 0.0210776i | ||||
\(469\) | 2.47316e14 | + | 2.47316e14i | 0.503271 | + | 0.503271i | ||||
\(470\) | −1.65987e14 | − | 2.74216e14i | −0.333838 | − | 0.551511i | ||||
\(471\) | − | 4.91320e13i | − | 0.0976673i | ||||||
\(472\) | 8.99985e12 | + | 1.44598e14i | 0.0176829 | + | 0.284106i | ||||
\(473\) | − | 2.78371e14i | − | 0.540614i | ||||||
\(474\) | 5.39483e14 | − | 3.26558e14i | 1.03561 | − | 0.626872i | ||||
\(475\) | 2.18446e14 | + | 2.18446e14i | 0.414504 | + | 0.414504i | ||||
\(476\) | 7.10999e14 | − | 1.35853e15i | 1.33362 | − | 2.54819i | ||||
\(477\) | 1.08349e14 | − | 1.08349e14i | 0.200897 | − | 0.200897i | ||||
\(478\) | −6.57997e14 | − | 1.61776e14i | −1.20606 | − | 0.296524i | ||||
\(479\) | 9.95852e14 | 1.80447 | 0.902235 | − | 0.431246i | \(-0.141926\pi\) | ||||
0.902235 | + | 0.431246i | \(0.141926\pi\) | |||||||
\(480\) | −2.37892e14 | − | 6.21808e14i | −0.426140 | − | 1.11386i | ||||
\(481\) | −2.11495e13 | −0.0374543 | ||||||||
\(482\) | −6.47284e14 | − | 1.59142e14i | −1.13328 | − | 0.278629i | ||||
\(483\) | −5.32244e14 | + | 5.32244e14i | −0.921300 | + | 0.921300i | ||||
\(484\) | 1.96522e14 | − | 3.75502e14i | 0.336326 | − | 0.642632i | ||||
\(485\) | −5.67131e13 | − | 5.67131e13i | −0.0959630 | − | 0.0959630i | ||||
\(486\) | −4.15328e14 | + | 2.51404e14i | −0.694850 | + | 0.420604i | ||||
\(487\) | − | 2.25030e14i | − | 0.372247i | −0.982526 | − | 0.186123i | \(-0.940408\pi\) | ||
0.982526 | − | 0.186123i | \(-0.0595924\pi\) | |||||||
\(488\) | 4.11030e14 | − | 2.55828e13i | 0.672303 | − | 0.0418446i | ||||
\(489\) | − | 9.45727e13i | − | 0.152956i | ||||||
\(490\) | 1.03038e15 | + | 1.70223e15i | 1.64786 | + | 2.72232i | ||||
\(491\) | 4.23772e14 | + | 4.23772e14i | 0.670168 | + | 0.670168i | 0.957755 | − | 0.287586i | \(-0.0928529\pi\) |
−0.287586 | + | 0.957755i | \(0.592853\pi\) | |||||||
\(492\) | −8.73369e13 | − | 2.79130e14i | −0.136581 | − | 0.436514i | ||||
\(493\) | −1.23672e15 | + | 1.23672e15i | −1.91256 | + | 1.91256i | ||||
\(494\) | −2.88872e12 | + | 1.17494e13i | −0.00441781 | + | 0.0179687i | ||||
\(495\) | −2.47774e14 | −0.374737 | ||||||||
\(496\) | 8.28739e13 | + | 1.19468e14i | 0.123956 | + | 0.178691i | ||||
\(497\) | −1.32318e15 | −1.95731 | ||||||||
\(498\) | −7.73238e13 | + | 3.14502e14i | −0.113123 | + | 0.460111i | ||||
\(499\) | 5.32410e14 | − | 5.32410e14i | 0.770359 | − | 0.770359i | −0.207810 | − | 0.978169i | \(-0.566634\pi\) |
0.978169 | + | 0.207810i | \(0.0666336\pi\) | |||||||
\(500\) | 6.07140e14 | − | 1.89968e14i | 0.868868 | − | 0.271860i | ||||
\(501\) | 2.63067e14 | + | 2.63067e14i | 0.372356 | + | 0.372356i | ||||
\(502\) | −3.13632e14 | − | 5.18129e14i | −0.439086 | − | 0.725384i | ||||
\(503\) | − | 1.50984e14i | − | 0.209077i | −0.994521 | − | 0.104538i | \(-0.966663\pi\) | ||
0.994521 | − | 0.104538i | \(-0.0333365\pi\) | |||||||
\(504\) | 4.21959e14 | + | 3.72511e14i | 0.577967 | + | 0.510236i | ||||
\(505\) | − | 8.32674e14i | − | 1.12816i | ||||||
\(506\) | −3.38965e14 | + | 2.05181e14i | −0.454284 | + | 0.274985i | ||||
\(507\) | 3.95957e14 | + | 3.95957e14i | 0.524934 | + | 0.524934i | ||||
\(508\) | 7.48693e14 | + | 3.91834e14i | 0.981868 | + | 0.513868i | ||||
\(509\) | −3.18716e14 | + | 3.18716e14i | −0.413481 | + | 0.413481i | −0.882949 | − | 0.469468i | \(-0.844446\pi\) |
0.469468 | + | 0.882949i | \(0.344446\pi\) | |||||||
\(510\) | −1.50196e15 | − | 3.69272e14i | −1.92762 | − | 0.473926i | ||||
\(511\) | −1.17663e15 | −1.49391 | ||||||||
\(512\) | −4.48818e14 | + | 6.57562e14i | −0.563748 | + | 0.825947i | ||||
\(513\) | 3.23758e14 | 0.402323 | ||||||||
\(514\) | 2.48953e14 | + | 6.12077e13i | 0.306069 | + | 0.0752504i | ||||
\(515\) | 9.09241e14 | − | 9.09241e14i | 1.10596 | − | 1.10596i | ||||
\(516\) | 5.65152e14 | + | 2.95777e14i | 0.680130 | + | 0.355951i | ||||
\(517\) | −1.25208e14 | − | 1.25208e14i | −0.149085 | − | 0.149085i | ||||
\(518\) | 9.49419e14 | − | 5.74698e14i | 1.11852 | − | 0.677058i | ||||
\(519\) | 1.04448e15i | 1.21753i | ||||||||
\(520\) | 5.15568e13 | + | 4.55150e13i | 0.0594659 | + | 0.0524972i | ||||
\(521\) | 3.32362e14i | 0.379318i | 0.981850 | + | 0.189659i | \(0.0607382\pi\) | ||||
−0.981850 | + | 0.189659i | \(0.939262\pi\) | |||||||
\(522\) | −3.32463e14 | − | 5.49239e14i | −0.375453 | − | 0.620260i | ||||
\(523\) | −6.65761e14 | − | 6.65761e14i | −0.743976 | − | 0.743976i | 0.229364 | − | 0.973341i | \(-0.426335\pi\) |
−0.973341 | + | 0.229364i | \(0.926335\pi\) | |||||||
\(524\) | −6.32859e14 | + | 1.98015e14i | −0.699818 | + | 0.218966i | ||||
\(525\) | 1.30301e15 | − | 1.30301e15i | 1.42584 | − | 1.42584i | ||||
\(526\) | −3.35439e14 | + | 1.36434e15i | −0.363238 | + | 1.47741i | ||||
\(527\) | 3.37787e14 | 0.361980 | ||||||||
\(528\) | −2.09625e14 | − | 3.02187e14i | −0.222308 | − | 0.320471i | ||||
\(529\) | −2.53644e13 | −0.0266207 | ||||||||
\(530\) | −2.34558e14 | + | 9.54026e14i | −0.243631 | + | 0.990930i | ||||
\(531\) | −8.73641e13 | + | 8.73641e13i | −0.0898076 | + | 0.0898076i | ||||
\(532\) | −1.89591e14 | − | 6.05937e14i | −0.192888 | − | 0.616472i | ||||
\(533\) | 2.13635e13 | + | 2.13635e13i | 0.0215116 | + | 0.0215116i | ||||
\(534\) | 1.18008e14 | + | 1.94953e14i | 0.117607 | + | 0.194291i | ||||
\(535\) | 1.38280e15i | 1.36400i | ||||||||
\(536\) | −4.21073e14 | + | 2.62078e13i | −0.411103 | + | 0.0255873i | ||||
\(537\) | 4.04825e14i | 0.391209i | ||||||||
\(538\) | −1.10610e15 | + | 6.69537e14i | −1.05801 | + | 0.640430i | ||||
\(539\) | 7.77246e14 | + | 7.77246e14i | 0.735902 | + | 0.735902i | ||||
\(540\) | 8.53314e14 | − | 1.63046e15i | 0.799730 | − | 1.52808i | ||||
\(541\) | 5.33393e14 | − | 5.33393e14i | 0.494837 | − | 0.494837i | −0.414989 | − | 0.909826i | \(-0.636215\pi\) |
0.909826 | + | 0.414989i | \(0.136215\pi\) | |||||||
\(542\) | 2.33012e14 | + | 5.72885e13i | 0.213984 | + | 0.0526104i | ||||
\(543\) | −9.74809e14 | −0.886177 | ||||||||
\(544\) | 6.60890e14 | + | 1.72745e15i | 0.594751 | + | 1.55458i | ||||
\(545\) | 2.99872e14 | 0.267150 | ||||||||
\(546\) | 7.00841e13 | + | 1.72309e13i | 0.0618102 | + | 0.0151967i | ||||
\(547\) | 1.27668e15 | − | 1.27668e15i | 1.11468 | − | 1.11468i | 0.122173 | − | 0.992509i | \(-0.461014\pi\) |
0.992509 | − | 0.122173i | \(-0.0389861\pi\) | |||||||
\(548\) | −9.14825e14 | + | 1.74799e15i | −0.790760 | + | 1.51094i | ||||
\(549\) | 2.48339e14 | + | 2.48339e14i | 0.212519 | + | 0.212519i | ||||
\(550\) | 8.29836e14 | − | 5.02313e14i | 0.703068 | − | 0.425578i | ||||
\(551\) | 7.24199e14i | 0.607469i | ||||||||
\(552\) | −5.64014e13 | − | 9.06182e14i | −0.0468408 | − | 0.752576i | ||||
\(553\) | − | 3.41835e15i | − | 2.81079i | ||||||
\(554\) | 2.18973e14 | + | 3.61750e14i | 0.178274 | + | 0.294514i | ||||
\(555\) | −7.91582e14 | − | 7.91582e14i | −0.638094 | − | 0.638094i | ||||
\(556\) | −7.40961e13 | − | 2.36812e14i | −0.0591404 | − | 0.189014i | ||||
\(557\) | −1.19205e14 | + | 1.19205e14i | −0.0942084 | + | 0.0942084i | −0.752640 | − | 0.658432i | \(-0.771220\pi\) |
0.658432 | + | 0.752640i | \(0.271220\pi\) | |||||||
\(558\) | −2.96041e13 | + | 1.20410e14i | −0.0231667 | + | 0.0942267i | ||||
\(559\) | −6.58921e13 | −0.0510585 | ||||||||
\(560\) | −3.55122e15 | − | 6.42248e14i | −2.72486 | − | 0.492798i | ||||
\(561\) | −8.54412e14 | −0.649190 | ||||||||
\(562\) | 3.48253e14 | − | 1.41646e15i | 0.262027 | − | 1.06575i | ||||
\(563\) | 1.83533e15 | − | 1.83533e15i | 1.36747 | − | 1.36747i | 0.503449 | − | 0.864025i | \(-0.332064\pi\) |
0.864025 | − | 0.503449i | \(-0.167936\pi\) | |||||||
\(564\) | 3.87237e14 | − | 1.21162e14i | 0.285721 | − | 0.0893990i | ||||
\(565\) | −4.85076e14 | − | 4.85076e14i | −0.354441 | − | 0.354441i | ||||
\(566\) | 3.08775e14 | + | 5.10106e14i | 0.223435 | + | 0.369122i | ||||
\(567\) | − | 8.55365e14i | − | 0.612978i | ||||||
\(568\) | 1.05630e15 | − | 1.19651e15i | 0.749671 | − | 0.849184i | ||||
\(569\) | 2.10792e14i | 0.148162i | 0.997252 | + | 0.0740810i | \(0.0236023\pi\) | ||||
−0.997252 | + | 0.0740810i | \(0.976398\pi\) | |||||||
\(570\) | −5.47875e14 | + | 3.31637e14i | −0.381391 | + | 0.230862i | ||||
\(571\) | −1.11177e15 | − | 1.11177e15i | −0.766507 | − | 0.766507i | 0.210983 | − | 0.977490i | \(-0.432334\pi\) |
−0.977490 | + | 0.210983i | \(0.932334\pi\) | |||||||
\(572\) | 3.36601e13 | + | 1.76163e13i | 0.0229846 | + | 0.0120292i | ||||
\(573\) | −9.21523e14 | + | 9.21523e14i | −0.623241 | + | 0.623241i | ||||
\(574\) | −1.53954e15 | − | 3.78513e14i | −1.03128 | − | 0.253551i | ||||
\(575\) | 2.39471e15 | 1.58884 | ||||||||
\(576\) | −6.73701e14 | + | 8.41893e13i | −0.442735 | + | 0.0553265i | ||||
\(577\) | −1.44413e15 | −0.940024 | −0.470012 | − | 0.882660i | \(-0.655750\pi\) | ||||
−0.470012 | + | 0.882660i | \(0.655750\pi\) | |||||||
\(578\) | 2.66649e15 | + | 6.55585e14i | 1.71924 | + | 0.422694i | ||||
\(579\) | 5.29159e14 | − | 5.29159e14i | 0.337951 | − | 0.337951i | ||||
\(580\) | 3.64710e15 | + | 1.90874e15i | 2.30724 | + | 1.20751i | ||||
\(581\) | 1.24137e15 | + | 1.24137e15i | 0.777916 | + | 0.777916i | ||||
\(582\) | 8.68528e13 | − | 5.25734e13i | 0.0539147 | − | 0.0326354i | ||||
\(583\) | 5.42713e14i | 0.333728i | ||||||||
\(584\) | 9.39303e14 | − | 1.06399e15i | 0.572183 | − | 0.648136i | ||||
\(585\) | 5.86496e13i | 0.0353922i | ||||||||
\(586\) | −5.57384e14 | − | 9.20816e14i | −0.333210 | − | 0.550473i | ||||
\(587\) | 9.87281e14 | + | 9.87281e14i | 0.584698 | + | 0.584698i | 0.936191 | − | 0.351493i | \(-0.114326\pi\) |
−0.351493 | + | 0.936191i | \(0.614326\pi\) | |||||||
\(588\) | −2.40382e15 | + | 7.52130e14i | −1.41035 | + | 0.441283i | ||||
\(589\) | 9.89004e13 | − | 9.89004e13i | 0.0574862 | − | 0.0574862i | ||||
\(590\) | 1.89129e14 | − | 7.69250e14i | 0.108911 | − | 0.442978i | ||||
\(591\) | −1.51188e15 | −0.862553 | ||||||||
\(592\) | −2.38239e14 | + | 1.31731e15i | −0.134662 | + | 0.744593i | ||||
\(593\) | 1.56359e15 | 0.875632 | 0.437816 | − | 0.899065i | \(-0.355752\pi\) | ||||
0.437816 | + | 0.899065i | \(0.355752\pi\) | |||||||
\(594\) | 2.42711e14 | − | 9.87188e14i | 0.134668 | − | 0.547740i | ||||
\(595\) | −5.92837e15 | + | 5.92837e15i | −3.25906 | + | 3.25906i | ||||
\(596\) | −8.46268e14 | − | 2.70469e15i | −0.460949 | − | 1.47320i | ||||
\(597\) | 1.12620e15 | + | 1.12620e15i | 0.607795 | + | 0.607795i | ||||
\(598\) | 4.85676e13 | + | 8.02352e13i | 0.0259711 | + | 0.0429050i | ||||
\(599\) | − | 3.21984e15i | − | 1.70603i | −0.521886 | − | 0.853015i | \(-0.674771\pi\) | ||
0.521886 | − | 0.853015i | \(-0.325229\pi\) | |||||||
\(600\) | 1.38079e14 | + | 2.21846e15i | 0.0724928 | + | 1.16472i | ||||
\(601\) | 3.71403e15i | 1.93213i | 0.258303 | + | 0.966064i | \(0.416837\pi\) | ||||
−0.258303 | + | 0.966064i | \(0.583163\pi\) | |||||||
\(602\) | 2.95796e15 | − | 1.79050e15i | 1.52479 | − | 0.922982i | ||||
\(603\) | −2.54407e14 | − | 2.54407e14i | −0.129952 | − | 0.129952i | ||||
\(604\) | −4.81391e14 | + | 9.19812e14i | −0.243666 | + | 0.465582i | ||||
\(605\) | −1.63861e15 | + | 1.63861e15i | −0.821906 | + | 0.821906i | ||||
\(606\) | 1.02354e15 | + | 2.51649e14i | 0.508752 | + | 0.125082i | ||||
\(607\) | −3.66834e15 | −1.80689 | −0.903446 | − | 0.428703i | \(-0.858971\pi\) | ||||
−0.903446 | + | 0.428703i | \(0.858971\pi\) | |||||||
\(608\) | 6.99281e14 | + | 3.12278e14i | 0.341336 | + | 0.152430i | ||||
\(609\) | 4.31978e15 | 2.08962 | ||||||||
\(610\) | −2.18666e15 | − | 5.37613e14i | −1.04825 | − | 0.257725i | ||||
\(611\) | −2.96376e13 | + | 2.96376e13i | −0.0140804 | + | 0.0140804i | ||||
\(612\) | −7.31384e14 | + | 1.39749e15i | −0.344360 | + | 0.657983i | ||||
\(613\) | −1.62841e15 | − | 1.62841e15i | −0.759854 | − | 0.759854i | 0.216442 | − | 0.976295i | \(-0.430555\pi\) |
−0.976295 | + | 0.216442i | \(0.930555\pi\) | |||||||
\(614\) | −4.18807e14 | + | 2.53510e14i | −0.193681 | + | 0.117238i | ||||
\(615\) | 1.59919e15i | 0.732970i | ||||||||
\(616\) | −1.98972e15 | + | 1.23842e14i | −0.903855 | + | 0.0562565i | ||||
\(617\) | 2.70508e15i | 1.21790i | 0.793208 | + | 0.608950i | \(0.208409\pi\) | ||||
−0.793208 | + | 0.608950i | \(0.791591\pi\) | |||||||
\(618\) | 8.42871e14 | + | 1.39245e15i | 0.376118 | + | 0.621359i | ||||
\(619\) | 1.12450e15 | + | 1.12450e15i | 0.497349 | + | 0.497349i | 0.910612 | − | 0.413263i | \(-0.135611\pi\) |
−0.413263 | + | 0.910612i | \(0.635611\pi\) | |||||||
\(620\) | −2.37400e14 | − | 7.58734e14i | −0.104070 | − | 0.332610i | ||||
\(621\) | 1.77460e15 | − | 1.77460e15i | 0.771075 | − | 0.771075i | ||||
\(622\) | 4.45777e14 | − | 1.81313e15i | 0.191986 | − | 0.780874i | ||||
\(623\) | 1.23529e15 | 0.527331 | ||||||||
\(624\) | −7.15296e13 | + | 4.96194e13i | −0.0302671 | + | 0.0209960i | ||||
\(625\) | 2.60238e14 | 0.109152 | ||||||||
\(626\) | 2.07885e14 | − | 8.45539e14i | 0.0864299 | − | 0.351540i | ||||
\(627\) | −2.50163e14 | + | 2.50163e14i | −0.103098 | + | 0.103098i | ||||
\(628\) | 3.06592e14 | − | 9.59295e13i | 0.125252 | − | 0.0391899i | ||||
\(629\) | 2.19910e15 | + | 2.19910e15i | 0.890569 | + | 0.890569i | ||||
\(630\) | −1.59370e15 | − | 2.63284e15i | −0.639783 | − | 1.05694i | ||||
\(631\) | − | 3.62826e15i | − | 1.44390i | −0.691947 | − | 0.721949i | \(-0.743247\pi\) | ||
0.691947 | − | 0.721949i | \(-0.256753\pi\) | |||||||
\(632\) | 3.09111e15 | + | 2.72887e15i | 1.21947 | + | 1.07656i | ||||
\(633\) | 5.02901e14i | 0.196681i | ||||||||
\(634\) | −1.44579e15 | + | 8.75156e14i | −0.560548 | + | 0.339309i | ||||
\(635\) | −3.26714e15 | − | 3.26714e15i | −1.25578 | − | 1.25578i | ||||
\(636\) | −1.10182e15 | − | 5.76648e14i | −0.419854 | − | 0.219734i | ||||
\(637\) | 1.83979e14 | − | 1.83979e14i | 0.0695026 | − | 0.0695026i | ||||
\(638\) | 2.20819e15 | + | 5.42908e14i | 0.827034 | + | 0.203335i | ||||
\(639\) | 1.36112e15 | 0.505408 | ||||||||
\(640\) | 3.41571e15 | − | 2.69856e15i | 1.25745 | − | 0.993440i | ||||
\(641\) | −2.02765e15 | −0.740071 | −0.370036 | − | 0.929018i | \(-0.620655\pi\) | ||||
−0.370036 | + | 0.929018i | \(0.620655\pi\) | |||||||
\(642\) | −1.69977e15 | − | 4.17907e14i | −0.615102 | − | 0.151230i | ||||
\(643\) | 1.68717e15 | − | 1.68717e15i | 0.605340 | − | 0.605340i | −0.336385 | − | 0.941725i | \(-0.609204\pi\) |
0.941725 | + | 0.336385i | \(0.109204\pi\) | |||||||
\(644\) | −4.36049e15 | − | 2.28209e15i | −1.55118 | − | 0.811823i | ||||
\(645\) | −2.46621e15 | − | 2.46621e15i | −0.869864 | − | 0.869864i | ||||
\(646\) | 1.52206e15 | − | 9.21327e14i | 0.532296 | − | 0.322207i | ||||
\(647\) | − | 1.10797e15i | − | 0.384197i | −0.981376 | − | 0.192098i | \(-0.938471\pi\) | ||
0.981376 | − | 0.192098i | \(-0.0615293\pi\) | |||||||
\(648\) | 7.73481e14 | + | 6.82839e14i | 0.265942 | + | 0.234777i | ||||
\(649\) | − | 4.37601e14i | − | 0.149187i | ||||||
\(650\) | −1.18901e14 | − | 1.96427e14i | −0.0401939 | − | 0.0664016i | ||||
\(651\) | −5.89932e14 | − | 5.89932e14i | −0.197745 | − | 0.197745i | ||||
\(652\) | 5.90150e14 | − | 1.84652e14i | 0.196155 | − | 0.0613750i | ||||
\(653\) | −1.66210e15 | + | 1.66210e15i | −0.547816 | + | 0.547816i | −0.925809 | − | 0.377993i | \(-0.876614\pi\) |
0.377993 | + | 0.925809i | \(0.376614\pi\) | |||||||
\(654\) | −9.06267e13 | + | 3.68610e14i | −0.0296196 | + | 0.120473i | ||||
\(655\) | 3.62577e15 | 1.17509 | ||||||||
\(656\) | 1.57130e15 | − | 1.08999e15i | 0.504995 | − | 0.350310i | ||||
\(657\) | 1.21036e15 | 0.385750 | ||||||||
\(658\) | 5.25111e14 | − | 2.13581e15i | 0.165962 | − | 0.675024i | ||||
\(659\) | 5.89720e14 | − | 5.89720e14i | 0.184832 | − | 0.184832i | −0.608626 | − | 0.793457i | \(-0.708279\pi\) |
0.793457 | + | 0.608626i | \(0.208279\pi\) | |||||||
\(660\) | 6.00489e14 | + | 1.91917e15i | 0.186644 | + | 0.596516i | ||||
\(661\) | −2.71945e15 | − | 2.71945e15i | −0.838247 | − | 0.838247i | 0.150381 | − | 0.988628i | \(-0.451950\pi\) |
−0.988628 | + | 0.150381i | \(0.951950\pi\) | |||||||
\(662\) | 2.36607e15 | + | 3.90881e15i | 0.723282 | + | 1.19488i | ||||
\(663\) | 2.02245e14i | 0.0613130i | ||||||||
\(664\) | −2.11352e15 | + | 1.31547e14i | −0.635451 | + | 0.0395509i | ||||
\(665\) | 3.47152e15i | 1.03514i | ||||||||
\(666\) | −9.76640e14 | + | 5.91175e14i | −0.288819 | + | 0.174827i | ||||
\(667\) | 3.96952e15 | + | 3.96952e15i | 1.16425 | + | 1.16425i | ||||
\(668\) | −1.12795e15 | + | 2.15522e15i | −0.328109 | + | 0.626932i | ||||
\(669\) | 1.10004e15 | − | 1.10004e15i | 0.317370 | − | 0.317370i | ||||
\(670\) | 2.24008e15 | + | 5.50748e14i | 0.640991 | + | 0.157595i | ||||
\(671\) | −1.24391e15 | −0.353034 | ||||||||
\(672\) | 1.86271e15 | − | 4.17115e15i | 0.524342 | − | 1.17415i | ||||
\(673\) | −2.23065e15 | −0.622801 | −0.311400 | − | 0.950279i | \(-0.600798\pi\) | ||||
−0.311400 | + | 0.950279i | \(0.600798\pi\) | |||||||
\(674\) | −5.33450e15 | − | 1.31155e15i | −1.47729 | − | 0.363207i | ||||
\(675\) | −4.34448e15 | + | 4.34448e15i | −1.19335 | + | 1.19335i | ||||
\(676\) | −1.69774e15 | + | 3.24394e15i | −0.462557 | + | 0.883825i | ||||
\(677\) | 3.84026e14 | + | 3.84026e14i | 0.103782 | + | 0.103782i | 0.757091 | − | 0.653309i | \(-0.226620\pi\) |
−0.653309 | + | 0.757091i | \(0.726620\pi\) | |||||||
\(678\) | 7.42866e14 | − | 4.49668e14i | 0.199135 | − | 0.120539i | ||||
\(679\) | − | 5.50329e14i | − | 0.146332i | ||||||
\(680\) | −6.28224e14 | − | 1.00935e16i | −0.165697 | − | 2.66220i | ||||
\(681\) | − | 4.40883e15i | − | 1.15349i | ||||||
\(682\) | −2.27420e14 | − | 3.75705e14i | −0.0590221 | − | 0.0975063i | ||||
\(683\) | −5.42054e14 | − | 5.42054e14i | −0.139550 | − | 0.139550i | 0.633881 | − | 0.773431i | \(-0.281461\pi\) |
−0.773431 | + | 0.633881i | \(0.781461\pi\) | |||||||
\(684\) | 1.95027e14 | + | 6.23310e14i | 0.0498066 | + | 0.159183i | ||||
\(685\) | 7.62789e15 | − | 7.62789e15i | 1.93244 | − | 1.93244i | ||||
\(686\) | −1.61814e15 | + | 6.58154e15i | −0.406663 | + | 1.65404i | ||||
\(687\) | 5.68793e15 | 1.41805 | ||||||||
\(688\) | −7.42246e14 | + | 4.10415e15i | −0.183574 | + | 1.01505i | ||||
\(689\) | 1.28464e14 | 0.0315191 | ||||||||
\(690\) | −1.18525e15 | + | 4.82083e15i | −0.288497 | + | 1.17342i | ||||
\(691\) | −1.50768e15 | + | 1.50768e15i | −0.364065 | + | 0.364065i | −0.865307 | − | 0.501242i | \(-0.832877\pi\) |
0.501242 | + | 0.865307i | \(0.332877\pi\) | |||||||
\(692\) | −6.51772e15 | + | 2.03932e15i | −1.56139 | + | 0.488543i | ||||
\(693\) | −1.20217e15 | − | 1.20217e15i | −0.285714 | − | 0.285714i | ||||
\(694\) | 2.47858e15 | + | 4.09469e15i | 0.584420 | + | 0.965480i | ||||
\(695\) | 1.35674e15i | 0.317381i | ||||||||
\(696\) | −3.44848e15 | + | 3.90625e15i | −0.800345 | + | 0.906586i | ||||
\(697\) | − | 4.44273e15i | − | 1.02298i | ||||||
\(698\) | 4.73855e15 | − | 2.86832e15i | 1.08253 | − | 0.655273i | ||||
\(699\) | −3.28105e15 | − | 3.28105e15i | −0.743684 | − | 0.743684i | ||||
\(700\) | 1.06751e16 | + | 5.58690e15i | 2.40067 | + | 1.25641i | ||||
\(701\) | −2.70192e15 | + | 2.70192e15i | −0.602870 | + | 0.602870i | −0.941073 | − | 0.338203i | \(-0.890181\pi\) |
0.338203 | + | 0.941073i | \(0.390181\pi\) | |||||||
\(702\) | −2.33674e14 | − | 5.74512e13i | −0.0517315 | − | 0.0127188i | ||||
\(703\) | 1.28775e15 | 0.282863 | ||||||||
\(704\) | 1.47641e15 | − | 1.89811e15i | 0.321779 | − | 0.413687i | ||||
\(705\) | −2.21855e15 | −0.479766 | ||||||||
\(706\) | 3.04941e15 | + | 7.49731e14i | 0.654320 | + | 0.160872i | ||||
\(707\) | 4.04002e15 | − | 4.04002e15i | 0.860156 | − | 0.860156i | ||||
\(708\) | 8.88423e14 | + | 4.64963e14i | 0.187688 | + | 0.0982280i | ||||
\(709\) | 2.03058e15 | + | 2.03058e15i | 0.425663 | + | 0.425663i | 0.887148 | − | 0.461485i | \(-0.152683\pi\) |
−0.461485 | + | 0.887148i | \(0.652683\pi\) | |||||||
\(710\) | −7.46571e15 | + | 4.51911e15i | −1.55292 | + | 0.940009i | ||||
\(711\) | 3.51636e15i | 0.725789i | ||||||||
\(712\) | −9.86130e14 | + | 1.11703e15i | −0.201973 | + | 0.228784i | ||||
\(713\) | − | 1.08420e15i | − | 0.220351i | ||||||
\(714\) | −5.49563e15 | − | 9.07895e15i | −1.10835 | − | 1.83103i | ||||
\(715\) | −1.46886e14 | − | 1.46886e14i | −0.0293966 | − | 0.0293966i | ||||
\(716\) | −2.52618e15 | + | 7.90415e14i | −0.501698 | + | 0.156976i | ||||
\(717\) | −3.31620e15 | + | 3.31620e15i | −0.653560 | + | 0.653560i | ||||
\(718\) | 4.74087e14 | − | 1.92827e15i | 0.0927201 | − | 0.377124i | ||||
\(719\) | −2.42675e15 | −0.470995 | −0.235498 | − | 0.971875i | \(-0.575672\pi\) | ||||
−0.235498 | + | 0.971875i | \(0.575672\pi\) | |||||||
\(720\) | 3.65304e15 | + | 6.60663e14i | 0.703600 | + | 0.127248i | ||||
\(721\) | 8.82303e15 | 1.68645 | ||||||||
\(722\) | −1.08275e15 | + | 4.40390e15i | −0.205386 | + | 0.835377i | ||||
\(723\) | −3.26221e15 | + | 3.26221e15i | −0.614117 | + | 0.614117i | ||||
\(724\) | −1.90330e15 | − | 6.08298e15i | −0.355586 | − | 1.13646i | ||||
\(725\) | −9.71795e15 | − | 9.71795e15i | −1.80184 | − | 1.80184i | ||||
\(726\) | −1.51900e15 | − | 2.50944e15i | −0.279517 | − | 0.461770i | ||||
\(727\) | − | 2.47046e15i | − | 0.451168i | −0.974224 | − | 0.225584i | \(-0.927571\pi\) | ||
0.974224 | − | 0.225584i | \(-0.0724290\pi\) | |||||||
\(728\) | 2.93141e13 | + | 4.70980e14i | 0.00531317 | + | 0.0853650i | ||||
\(729\) | 5.33228e15i | 0.959205i | ||||||||
\(730\) | −6.63881e15 | + | 4.01858e15i | −1.18526 | + | 0.717458i | ||||
\(731\) | 6.85141e15 | + | 6.85141e15i | 1.21404 | + | 1.21404i | ||||
\(732\) | 1.32169e15 | − | 2.52541e15i | 0.232445 | − | 0.444142i | ||||
\(733\) | −2.16629e15 | + | 2.16629e15i | −0.378132 | + | 0.378132i | −0.870428 | − | 0.492296i | \(-0.836158\pi\) |
0.492296 | + | 0.870428i | \(0.336158\pi\) | |||||||
\(734\) | −1.63915e15 | − | 4.03004e14i | −0.283982 | − | 0.0698202i | ||||
\(735\) | 1.37719e16 | 2.36818 | ||||||||
\(736\) | 5.54461e15 | − | 2.12126e15i | 0.946331 | − | 0.362048i | ||||
\(737\) | 1.27431e15 | 0.215875 | ||||||||
\(738\) | 1.58368e15 | + | 3.89366e14i | 0.266292 | + | 0.0654708i | ||||
\(739\) | −1.12857e15 | + | 1.12857e15i | −0.188357 | + | 0.188357i | −0.794986 | − | 0.606628i | \(-0.792522\pi\) |
0.606628 | + | 0.794986i | \(0.292522\pi\) | |||||||
\(740\) | 3.39406e15 | − | 6.48516e15i | 0.562270 | − | 1.07435i | ||||
\(741\) | 5.92150e13 | + | 5.92150e13i | 0.00973715 | + | 0.00973715i | ||||
\(742\) | −5.76685e15 | + | 3.49076e15i | −0.941276 | + | 0.569769i | ||||
\(743\) | − | 4.70323e14i | − | 0.0762004i | −0.999274 | − | 0.0381002i | \(-0.987869\pi\) | ||
0.999274 | − | 0.0381002i | \(-0.0121306\pi\) | |||||||
\(744\) | 1.00440e15 | − | 6.25145e13i | 0.161531 | − | 0.0100538i | ||||
\(745\) | 1.54956e16i | 2.47372i | ||||||||
\(746\) | 5.45988e13 | + | 9.01989e13i | 0.00865206 | + | 0.0142935i | ||||
\(747\) | −1.27696e15 | − | 1.27696e15i | −0.200870 | − | 0.200870i | ||||
\(748\) | −1.66823e15 | − | 5.33168e15i | −0.260493 | − | 0.832540i | ||||
\(749\) | −6.70916e15 | + | 6.70916e15i | −1.03996 | + | 1.03996i | ||||
\(750\) | 1.05124e15 | − | 4.27575e15i | 0.161758 | − | 0.657924i | ||||
\(751\) | −1.15370e16 | −1.76227 | −0.881133 | − | 0.472868i | \(-0.843219\pi\) | ||||
−0.881133 | + | 0.472868i | \(0.843219\pi\) | |||||||
\(752\) | 1.51215e15 | + | 2.17986e15i | 0.229296 | + | 0.330544i | ||||
\(753\) | −4.19194e15 | −0.631020 | ||||||||
\(754\) | 1.28510e14 | − | 5.22693e14i | 0.0192041 | − | 0.0781095i | ||||
\(755\) | 4.01388e15 | − | 4.01388e15i | 0.595464 | − | 0.595464i | ||||
\(756\) | 1.20510e16 | − | 3.77062e15i | 1.77481 | − | 0.555319i | ||||
\(757\) | −6.27731e15 | − | 6.27731e15i | −0.917796 | − | 0.917796i | 0.0790730 | − | 0.996869i | \(-0.474804\pi\) |
−0.996869 | + | 0.0790730i | \(0.974804\pi\) | |||||||
\(758\) | 3.04499e15 | + | 5.03041e15i | 0.441982 | + | 0.730168i | ||||
\(759\) | 2.74241e15i | 0.395187i | ||||||||
\(760\) | −3.13919e15 | − | 2.77132e15i | −0.449100 | − | 0.396471i | ||||
\(761\) | − | 1.00942e16i | − | 1.43370i | −0.697229 | − | 0.716848i | \(-0.745584\pi\) | ||
0.697229 | − | 0.716848i | \(-0.254416\pi\) | |||||||
\(762\) | 5.00344e15 | − | 3.02866e15i | 0.705532 | − | 0.427069i | ||||
\(763\) | 1.45494e15 | + | 1.45494e15i | 0.203685 | + | 0.203685i | ||||
\(764\) | −7.54972e15 | − | 3.95120e15i | −1.04934 | − | 0.549182i | ||||
\(765\) | 6.09834e15 | − | 6.09834e15i | 0.841539 | − | 0.841539i | ||||
\(766\) | 1.23276e16 | + | 3.03086e15i | 1.68896 | + | 0.415248i | ||||
\(767\) | −1.03583e14 | −0.0140901 | ||||||||
\(768\) | 2.28484e15 | + | 5.01422e15i | 0.308581 | + | 0.677200i | ||||
\(769\) | −1.23395e15 | −0.165463 | −0.0827316 | − | 0.996572i | \(-0.526364\pi\) | ||||
−0.0827316 | + | 0.996572i | \(0.526364\pi\) | |||||||
\(770\) | 1.05852e16 | + | 2.60249e15i | 1.40929 | + | 0.346489i | ||||
\(771\) | 1.25468e15 | − | 1.25468e15i | 0.165857 | − | 0.165857i | ||||
\(772\) | 4.33522e15 | + | 2.26887e15i | 0.569004 | + | 0.297793i | ||||
\(773\) | 2.67045e15 | + | 2.67045e15i | 0.348015 | + | 0.348015i | 0.859370 | − | 0.511355i | \(-0.170856\pi\) |
−0.511355 | + | 0.859370i | \(0.670856\pi\) | |||||||
\(774\) | −3.04277e15 | + | 1.84183e15i | −0.393725 | + | 0.238328i | ||||
\(775\) | 2.65427e15i | 0.341024i | ||||||||
\(776\) | 4.97646e14 | + | 4.39328e14i | 0.0634864 | + | 0.0560466i | ||||
\(777\) | − | 7.68130e15i | − | 0.973014i | ||||||
\(778\) | −1.63427e15 | − | 2.69986e15i | −0.205559 | − | 0.339589i | ||||
\(779\) | −1.30078e15 | − | 1.30078e15i | −0.162461 | − | 0.162461i | ||||
\(780\) | 4.54280e14 | − | 1.42139e14i | 0.0563382 | − | 0.0176276i | ||||
\(781\) | −3.40888e15 | + | 3.40888e15i | −0.419789 | + | 0.419789i | ||||
\(782\) | 3.29277e15 | − | 1.33928e16i | 0.402647 | − | 1.63770i | ||||
\(783\) | −1.44030e16 | −1.74889 | ||||||||
\(784\) | −9.38684e15 | − | 1.35317e16i | −1.13183 | − | 1.63160i | ||||
\(785\) | −1.75652e15 | −0.210315 | ||||||||
\(786\) | −1.09577e15 | + | 4.45688e15i | −0.130286 | + | 0.529916i | ||||
\(787\) | −6.44867e14 | + | 6.44867e14i | −0.0761394 | + | 0.0761394i | −0.744151 | − | 0.668012i | \(-0.767146\pi\) |
0.668012 | + | 0.744151i | \(0.267146\pi\) | |||||||
\(788\) | −2.95192e15 | − | 9.43438e15i | −0.346107 | − | 1.10616i | ||||
\(789\) | 6.87607e15 | + | 6.87607e15i | 0.800602 | + | 0.800602i | ||||
\(790\) | −1.16748e16 | − | 1.92871e16i | −1.34990 | − | 2.23007i | ||||
\(791\) | − | 4.70705e15i | − | 0.540478i | ||||||
\(792\) | 2.04677e15 | − | 1.27392e14i | 0.233389 | − | 0.0145263i | ||||
\(793\) | 2.94442e14i | 0.0333425i | ||||||||
\(794\) | −5.68032e15 | + | 3.43839e15i | −0.638793 | + | 0.386671i | ||||
\(795\) | 4.80814e15 | + | 4.80814e15i | 0.536979 | + | 0.536979i | ||||
\(796\) | −4.82880e15 | + | 9.22658e15i | −0.535571 | + | 1.02334i | ||||
\(797\) | 5.49268e15 | − | 5.49268e15i | 0.605011 | − | 0.605011i | −0.336627 | − | 0.941638i | \(-0.609286\pi\) |
0.941638 | + | 0.336627i | \(0.109286\pi\) | |||||||
\(798\) | −4.26728e15 | − | 1.04916e15i | −0.466805 | − | 0.114769i | ||||
\(799\) | 6.16339e15 | 0.669595 | ||||||||
\(800\) | −1.35740e16 | + | 5.19315e15i | −1.46458 | + | 0.560320i | ||||
\(801\) | −1.27070e15 | −0.136165 | ||||||||
\(802\) | 7.50482e15 | + | 1.84514e15i | 0.798696 | + | 0.196368i | ||||
\(803\) | −3.03131e15 | + | 3.03131e15i | −0.320402 | + | 0.320402i | ||||
\(804\) | −1.35399e15 | + | 2.58711e15i | −0.142137 | + | 0.271586i | ||||
\(805\) | 1.90283e16 | + | 1.90283e16i | 1.98391 | + | 1.98391i | ||||
\(806\) | −8.89316e13 | + | 5.38317e13i | −0.00920902 | + | 0.00557436i | ||||
\(807\) | 8.94890e15i | 0.920376i | ||||||||
\(808\) | 4.28117e14 | + | 6.87842e15i | 0.0437321 | + | 0.702629i | ||||
\(809\) | − | 6.25279e14i | − | 0.0634391i | −0.999497 | − | 0.0317196i | \(-0.989902\pi\) | ||
0.999497 | − | 0.0317196i | \(-0.0100983\pi\) | |||||||
\(810\) | −2.92136e15 | − | 4.82617e15i | −0.294386 | − | 0.486334i | ||||
\(811\) | −1.11110e16 | − | 1.11110e16i | −1.11209 | − | 1.11209i | −0.992868 | − | 0.119217i | \(-0.961962\pi\) |
−0.119217 | − | 0.992868i | \(-0.538038\pi\) | |||||||
\(812\) | 8.43431e15 | + | 2.69562e16i | 0.838477 | + | 2.67979i | ||||
\(813\) | 1.17434e15 | − | 1.17434e15i | 0.115957 | − | 0.115957i | ||||
\(814\) | 9.65382e14 | − | 3.92654e15i | 0.0946815 | − | 0.385102i | ||||
\(815\) | −3.38108e15 | −0.329373 | ||||||||
\(816\) | 1.25970e16 | + | 2.27820e15i | 1.21891 | + | 0.220443i | ||||
\(817\) | 4.01204e15 | 0.385606 | ||||||||
\(818\) | 1.56689e15 | − | 6.37309e15i | 0.149588 | − | 0.608425i | ||||
\(819\) | −2.84560e14 | + | 2.84560e14i | −0.0269844 | + | 0.0269844i | ||||
\(820\) | −9.97921e15 | + | 3.12239e15i | −0.939983 | + | 0.294111i | ||||
\(821\) | 1.02695e16 | + | 1.02695e16i | 0.960868 | + | 0.960868i | 0.999263 | − | 0.0383942i | \(-0.0122243\pi\) |
−0.0383942 | + | 0.999263i | \(0.512224\pi\) | |||||||
\(822\) | 7.07109e15 | + | 1.16817e16i | 0.657191 | + | 1.08570i | ||||
\(823\) | − | 1.28724e15i | − | 0.118839i | −0.998233 | − | 0.0594196i | \(-0.981075\pi\) | ||
0.998233 | − | 0.0594196i | \(-0.0189250\pi\) | |||||||
\(824\) | −7.04343e15 | + | 7.97840e15i | −0.645929 | + | 0.731671i | ||||
\(825\) | − | 6.71381e15i | − | 0.611607i | ||||||
\(826\) | 4.64993e15 | − | 2.81467e15i | 0.420781 | − | 0.254705i | ||||
\(827\) | −1.67205e15 | − | 1.67205e15i | −0.150303 | − | 0.150303i | 0.627950 | − | 0.778254i | \(-0.283894\pi\) |
−0.778254 | + | 0.627950i | \(0.783894\pi\) | |||||||
\(828\) | 4.48551e15 | + | 2.34753e15i | 0.400539 | + | 0.209625i | ||||
\(829\) | −1.91391e15 | + | 1.91391e15i | −0.169774 | + | 0.169774i | −0.786880 | − | 0.617106i | \(-0.788305\pi\) |
0.617106 | + | 0.786880i | \(0.288305\pi\) | |||||||
\(830\) | 1.12438e16 | + | 2.76441e15i | 0.990794 | + | 0.243598i | ||||
\(831\) | 2.92675e15 | 0.256201 | ||||||||
\(832\) | −4.49294e14 | − | 3.49476e14i | −0.0390708 | − | 0.0303906i | ||||
\(833\) | −3.82600e16 | −3.30520 | ||||||||
\(834\) | −1.66774e15 | − | 4.10032e14i | −0.143125 | − | 0.0351888i | ||||
\(835\) | 9.40493e15 | − | 9.40493e15i | 0.801825 | − | 0.801825i | ||||
\(836\) | −2.04950e15 | − | 1.07262e15i | −0.173585 | − | 0.0908471i | ||||
\(837\) | 1.96694e15 | + | 1.96694e15i | 0.165502 | + | 0.165502i | ||||
\(838\) | −1.66003e15 | + | 1.00484e15i | −0.138763 | + | 0.0839955i | ||||
\(839\) | − | 2.99466e15i | − | 0.248689i | −0.992239 | − | 0.124344i | \(-0.960317\pi\) | ||
0.992239 | − | 0.124344i | \(-0.0396828\pi\) | |||||||
\(840\) | −1.65307e16 | + | 1.87250e16i | −1.36381 | + | 1.54485i | ||||
\(841\) | − | 2.00168e16i | − | 1.64065i | ||||||
\(842\) | 6.16190e15 | + | 1.01797e16i | 0.501763 | + | 0.828927i | ||||
\(843\) | −7.13875e15 | − | 7.13875e15i | −0.577525 | − | 0.577525i | ||||
\(844\) | −3.13819e15 | + | 9.81907e14i | −0.252230 | + | 0.0789200i | ||||
\(845\) | 1.41559e16 | − | 1.41559e16i | 1.13038 | − | 1.13038i | ||||
\(846\) | −5.40167e14 | + | 2.19704e15i | −0.0428540 | + | 0.174302i | ||||
\(847\) | −1.59007e16 | −1.25330 | ||||||||
\(848\) | 1.44709e15 | − | 8.00147e15i | 0.113323 | − | 0.626603i | ||||
\(849\) | 4.12703e15 | 0.321103 | ||||||||
\(850\) | −8.06118e15 | + | 3.27876e16i | −0.623152 | + | 2.53457i | ||||
\(851\) | 7.05847e15 | − | 7.05847e15i | 0.542123 | − | 0.542123i | ||||
\(852\) | −3.29873e15 | − | 1.05428e16i | −0.251726 | − | 0.804521i | ||||
\(853\) | 5.11390e15 | + | 5.11390e15i | 0.387733 | + | 0.387733i | 0.873878 | − | 0.486145i | \(-0.161597\pi\) |
−0.486145 | + | 0.873878i | \(0.661597\pi\) | |||||||
\(854\) | −8.00094e15 | − | 1.32178e16i | −0.602730 | − | 0.995728i | ||||
\(855\) | − | 3.57106e15i | − | 0.267290i | ||||||
\(856\) | −7.10963e14 | − | 1.14228e16i | −0.0528739 | − | 0.849508i | ||||
\(857\) | 2.39090e16i | 1.76672i | 0.468695 | + | 0.883360i | \(0.344724\pi\) | ||||
−0.468695 | + | 0.883360i | \(0.655276\pi\) | |||||||
\(858\) | 2.24947e14 | − | 1.36164e14i | 0.0165158 | − | 0.00999729i | ||||
\(859\) | 1.89252e16 | + | 1.89252e16i | 1.38063 | + | 1.38063i | 0.843496 | + | 0.537135i | \(0.180493\pi\) |
0.537135 | + | 0.843496i | \(0.319507\pi\) | |||||||
\(860\) | 1.05743e16 | − | 2.02048e16i | 0.766499 | − | 1.46458i | ||||
\(861\) | −7.75905e15 | + | 7.75905e15i | −0.558845 | + | 0.558845i | ||||
\(862\) | −1.65611e16 | − | 4.07172e15i | −1.18522 | − | 0.291399i | ||||
\(863\) | −1.36780e16 | −0.972666 | −0.486333 | − | 0.873774i | \(-0.661666\pi\) | ||||
−0.486333 | + | 0.873774i | \(0.661666\pi\) | |||||||
\(864\) | −6.21063e15 | + | 1.39074e16i | −0.438844 | + | 0.982699i | ||||
\(865\) | 3.73412e16 | 2.62180 | ||||||||
\(866\) | 1.90470e16 | + | 4.68292e15i | 1.32886 | + | 0.326715i | ||||
\(867\) | 1.34387e16 | − | 1.34387e16i | 0.931647 | − | 0.931647i | ||||
\(868\) | 2.52944e15 | − | 4.83311e15i | 0.174248 | − | 0.332942i | ||||
\(869\) | −8.80660e15 | − | 8.80660e15i | −0.602836 | − | 0.602836i | ||||
\(870\) | 2.43732e16 | − | 1.47535e16i | 1.65789 | − | 1.00355i | ||||
\(871\) | − | 3.01636e14i | − | 0.0203884i | ||||||
\(872\) | −2.47714e15 | + | 1.54179e14i | −0.166383 | + | 0.0103558i | ||||
\(873\) | 5.66108e14i | 0.0377851i | ||||||||
\(874\) | −2.95718e15 | − | 4.88536e15i | −0.196140 | − | 0.324029i | ||||
\(875\) | −1.68768e16 | − | 1.68768e16i | −1.11236 | − | 1.11236i | ||||
\(876\) | −2.93336e15 | − | 9.37507e15i | −0.192129 | − | 0.614047i | ||||
\(877\) | −7.71502e15 | + | 7.71502e15i | −0.502157 | + | 0.502157i | −0.912108 | − | 0.409951i | \(-0.865546\pi\) |
0.409951 | + | 0.912108i | \(0.365546\pi\) | |||||||
\(878\) | −3.87276e15 | + | 1.57518e16i | −0.250496 | + | 1.01885i | ||||
\(879\) | −7.44989e15 | −0.478863 | ||||||||
\(880\) | −1.08035e16 | + | 7.49431e15i | −0.690098 | + | 0.478715i | ||||
\(881\) | 1.75193e14 | 0.0111211 | 0.00556056 | − | 0.999985i | \(-0.498230\pi\) | ||||
0.00556056 | + | 0.999985i | \(0.498230\pi\) | |||||||
\(882\) | 3.35315e15 | − | 1.36384e16i | 0.211532 | − | 0.860372i | ||||
\(883\) | 6.13677e15 | − | 6.13677e15i | 0.384730 | − | 0.384730i | −0.488073 | − | 0.872803i | \(-0.662300\pi\) |
0.872803 | + | 0.488073i | \(0.162300\pi\) | |||||||
\(884\) | −1.26204e15 | + | 3.94880e14i | −0.0786296 | + | 0.0246024i | ||||
\(885\) | −3.87690e15 | − | 3.87690e15i | −0.240047 | − | 0.240047i | ||||
\(886\) | −1.54439e16 | − | 2.55139e16i | −0.950326 | − | 1.56997i | ||||
\(887\) | − | 1.65882e15i | − | 0.101442i | −0.998713 | − | 0.0507211i | \(-0.983848\pi\) | ||
0.998713 | − | 0.0507211i | \(-0.0161520\pi\) | |||||||
\(888\) | 6.94597e15 | + | 6.13199e15i | 0.422145 | + | 0.372675i | ||||
\(889\) | − | 3.17035e16i | − | 1.91491i | ||||||
\(890\) | 6.96977e15 | − | 4.21891e15i | 0.418383 | − | 0.253254i | ||||
\(891\) | −2.20365e15 | − | 2.20365e15i | −0.131467 | − | 0.131467i | ||||
\(892\) | 9.01228e15 | + | 4.71664e15i | 0.534353 | + | 0.279657i | ||||
\(893\) | 1.80457e15 | − | 1.80457e15i | 0.106339 | − | 0.106339i | ||||
\(894\) | −1.90476e16 | − | 4.68306e15i | −1.11554 | − | 0.274267i | ||||
\(895\) | 1.44729e16 | 0.842423 | ||||||||
\(896\) | 2.96656e16 | + | 3.47953e15i | 1.71617 | + | 0.201292i | ||||
\(897\) | 6.49145e14 | 0.0373236 | ||||||||
\(898\) | −2.26941e16 | − | 5.57959e15i | −1.29686 | − | 0.318847i | ||||
\(899\) | −4.39976e15 | + | 4.39976e15i | −0.249891 | + | 0.249891i | ||||
\(900\) | −1.09812e16 | − | 5.74708e15i | −0.619891 | − | 0.324424i | ||||
\(901\) | −1.33575e16 | − | 1.33575e16i | −0.749446 | − | 0.749446i | ||||
\(902\) | −4.94143e15 | + | 2.99113e15i | −0.275561 | + | 0.166801i | ||||
\(903\) | − | 2.39314e16i | − | 1.32644i | ||||||
\(904\) | 4.25644e15 | + | 3.75764e15i | 0.234488 | + | 0.207009i | ||||
\(905\) | 3.48505e16i | 1.90828i | ||||||||
\(906\) | 3.72089e15 | + | 6.14702e15i | 0.202508 | + | 0.334549i | ||||
\(907\) | 1.46370e16 | + | 1.46370e16i | 0.791796 | + | 0.791796i | 0.981786 | − | 0.189990i | \(-0.0608457\pi\) |
−0.189990 | + | 0.981786i | \(0.560846\pi\) | |||||||
\(908\) | 2.75119e16 | − | 8.60817e15i | 1.47927 | − | 0.462849i | ||||
\(909\) | −4.15586e15 | + | 4.15586e15i | −0.222105 | + | 0.222105i | ||||
\(910\) | 6.16025e14 | − | 2.50558e15i | 0.0327243 | − | 0.133101i | ||||
\(911\) | 5.40386e15 | 0.285333 | 0.142667 | − | 0.989771i | \(-0.454432\pi\) | ||||
0.142667 | + | 0.989771i | \(0.454432\pi\) | |||||||
\(912\) | 4.35529e15 | − | 3.02123e15i | 0.228584 | − | 0.158567i | ||||
\(913\) | 6.39622e15 | 0.333683 | ||||||||
\(914\) | 2.24828e15 | − | 9.14451e15i | 0.116586 | − | 0.474194i | ||||
\(915\) | −1.10204e16 | + | 1.10204e16i | −0.568043 | + | 0.568043i | ||||
\(916\) | 1.11056e16 | + | 3.54937e16i | 0.569006 | + | 1.81855i | ||||
\(917\) | 1.75917e16 | + | 1.75917e16i | 0.895937 | + | 0.895937i | ||||
\(918\) | 1.83235e16 | + | 3.02709e16i | 0.927626 | + | 1.53247i | ||||
\(919\) | 3.33548e16i | 1.67850i | 0.543743 | + | 0.839252i | \(0.317007\pi\) | ||||
−0.543743 | + | 0.839252i | \(0.682993\pi\) | |||||||
\(920\) | −3.23970e16 | + | 2.01641e15i | −1.62058 | + | 0.100866i | ||||
\(921\) | 3.38837e15i | 0.168486i | ||||||||
\(922\) | 1.00010e16 | − | 6.05375e15i | 0.494336 | − | 0.299229i | ||||
\(923\) | 8.06903e14 | + | 8.06903e14i | 0.0396471 | + | 0.0396471i | ||||
\(924\) | −6.39808e15 | + | 1.22251e16i | −0.312503 | + | 0.597111i | ||||
\(925\) | −1.72802e16 | + | 1.72802e16i | −0.839012 | + | 0.839012i | ||||
\(926\) | 6.19379e14 | + | 1.52281e14i | 0.0298948 | + | 0.00734997i | ||||
\(927\) | −9.07600e15 | −0.435468 | ||||||||
\(928\) | −3.11088e16 | − | 1.38922e16i | −1.48378 | − | 0.662611i | ||||
\(929\) | 1.87508e16 | 0.889064 | 0.444532 | − | 0.895763i | \(-0.353370\pi\) | ||||
0.444532 | + | 0.895763i | \(0.353370\pi\) | |||||||
\(930\) | −5.34335e15 | − | 1.31372e15i | −0.251859 | − | 0.0619222i | ||||
\(931\) | −1.12021e16 | + | 1.12021e16i | −0.524900 | + | 0.524900i | ||||
\(932\) | 1.40681e16 | − | 2.68805e16i | 0.655312 | − | 1.25213i | ||||
\(933\) | −9.13787e15 | − | 9.13787e15i | −0.423151 | − | 0.423151i | ||||
\(934\) | −1.92758e16 | + | 1.16679e16i | −0.887369 | + | 0.537138i | ||||
\(935\) | 3.05462e16i | 1.39795i | ||||||||
\(936\) | −3.01546e13 | − | 4.84484e14i | −0.00137194 | − | 0.0220426i | ||||
\(937\) | − | 2.19543e16i | − | 0.993005i | −0.868035 | − | 0.496502i | \(-0.834617\pi\) | ||
0.868035 | − | 0.496502i | \(-0.165383\pi\) | |||||||
\(938\) | 8.19642e15 | + | 1.35407e16i | 0.368560 | + | 0.608873i | ||||
\(939\) | −4.26138e15 | − | 4.26138e15i | −0.190498 | − | 0.190498i | ||||
\(940\) | −4.33169e15 | − | 1.38441e16i | −0.192510 | − | 0.615266i | ||||
\(941\) | 1.75023e15 | − | 1.75023e15i | 0.0773309 | − | 0.0773309i | −0.667383 | − | 0.744714i | \(-0.732586\pi\) |
0.744714 | + | 0.667383i | \(0.232586\pi\) | |||||||
\(942\) | 5.30853e14 | − | 2.15916e15i | 0.0233182 | − | 0.0948429i | ||||
\(943\) | −1.42598e16 | −0.622730 | ||||||||
\(944\) | −1.16682e15 | + | 6.45174e15i | −0.0506590 | + | 0.280112i | ||||
\(945\) | −6.90421e16 | −2.98016 | ||||||||
\(946\) | 3.00769e15 | − | 1.22333e16i | 0.129072 | − | 0.524980i | ||||
\(947\) | −1.97786e16 | + | 1.97786e16i | −0.843860 | + | 0.843860i | −0.989358 | − | 0.145498i | \(-0.953521\pi\) |
0.145498 | + | 0.989358i | \(0.453521\pi\) | |||||||
\(948\) | 2.72365e16 | − | 8.52202e15i | 1.15533 | − | 0.361490i | ||||
\(949\) | 7.17531e14 | + | 7.17531e14i | 0.0302605 | + | 0.0302605i | ||||
\(950\) | 7.23961e15 | + | 1.19601e16i | 0.303554 | + | 0.501480i | ||||
\(951\) | 1.16972e16i | 0.487627i | ||||||||
\(952\) | 4.59241e16 | − | 5.20202e16i | 1.90343 | − | 2.15610i | ||||
\(953\) | − | 1.12547e16i | − | 0.463793i | −0.972740 | − | 0.231897i | \(-0.925507\pi\) | ||
0.972740 | − | 0.231897i | \(-0.0744931\pi\) | |||||||
\(954\) | 5.93219e15 | − | 3.59085e15i | 0.243052 | − | 0.147123i | ||||
\(955\) | 3.29455e16 | + | 3.29455e16i | 1.34208 | + | 1.34208i | ||||
\(956\) | −2.71685e16 | − | 1.42188e16i | −1.10039 | − | 0.575898i | ||||
\(957\) | 1.11289e16 | − | 1.11289e16i | 0.448165 | − | 0.448165i | ||||
\(958\) | 4.37638e16 | + | 1.07598e16i | 1.75229 | + | 0.430818i | ||||
\(959\) | 7.40190e16 | 2.94673 | ||||||||
\(960\) | −3.73601e15 | − | 2.98964e16i | −0.147882 | − | 1.18339i | ||||
\(961\) | −2.42068e16 | −0.952704 | ||||||||
\(962\) | −9.29436e14 | − | 2.28512e14i | −0.0363711 | − | 0.00894223i | ||||
\(963\) | 6.90152e15 | − | 6.90152e15i | 0.268535 | − | 0.268535i | ||||
\(964\) | −2.67261e16 | − | 1.39873e16i | −1.03398 | − | 0.541142i | ||||
\(965\) | −1.89180e16 | − | 1.89180e16i | −0.727738 | − | 0.727738i | ||||
\(966\) | −2.91407e16 | + | 1.76393e16i | −1.11462 | + | 0.674696i | ||||
\(967\) | 2.27290e16i | 0.864441i | 0.901768 | + | 0.432220i | \(0.142270\pi\) | ||||
−0.901768 | + | 0.432220i | \(0.857730\pi\) | |||||||
\(968\) | 1.26935e16 | − | 1.43785e16i | 0.480029 | − | 0.543750i | ||||
\(969\) | − | 1.23143e16i | − | 0.463050i | ||||||
\(970\) | −1.87956e15 | − | 3.10508e15i | −0.0702766 | − | 0.116099i | ||||
\(971\) | −2.10096e16 | − | 2.10096e16i | −0.781110 | − | 0.781110i | 0.198908 | − | 0.980018i | \(-0.436260\pi\) |
−0.980018 | + | 0.198908i | \(0.936260\pi\) | |||||||
\(972\) | −2.09684e16 | + | 6.56078e15i | −0.775176 | + | 0.242544i | ||||
\(973\) | −6.58273e15 | + | 6.58273e15i | −0.241983 | + | 0.241983i | ||||
\(974\) | 2.43136e15 | − | 9.88919e15i | 0.0888742 | − | 0.361482i | ||||
\(975\) | −1.58920e15 | −0.0577635 | ||||||||
\(976\) | 1.83396e16 | + | 3.31677e15i | 0.662851 | + | 0.119878i | ||||
\(977\) | 1.01681e16 | 0.365445 | 0.182722 | − | 0.983165i | \(-0.441509\pi\) | ||||
0.182722 | + | 0.983165i | \(0.441509\pi\) | |||||||
\(978\) | 1.02182e15 | − | 4.15610e15i | 0.0365184 | − | 0.148533i | ||||
\(979\) | 3.18243e15 | − | 3.18243e15i | 0.113098 | − | 0.113098i | ||||
\(980\) | 2.68895e16 | + | 8.59392e16i | 0.950252 | + | 3.03702i | ||||
\(981\) | −1.49666e15 | − | 1.49666e15i | −0.0525947 | − | 0.0525947i | ||||
\(982\) | 1.40444e16 | + | 2.32018e16i | 0.490784 | + | 0.810791i | ||||
\(983\) | − | 3.52097e16i | − | 1.22354i | −0.791035 | − | 0.611770i | \(-0.790458\pi\) | ||
0.791035 | − | 0.611770i | \(-0.209542\pi\) | |||||||
\(984\) | −8.22219e14 | − | 1.32103e16i | −0.0284128 | − | 0.456500i | ||||
\(985\) | 5.40513e16i | 1.85741i | ||||||||
\(986\) | −6.77116e16 | + | 4.09869e16i | −2.31387 | + | 1.40062i | ||||
\(987\) | −1.07641e16 | − | 1.07641e16i | −0.365792 | − | 0.365792i | ||||
\(988\) | −2.53896e14 | + | 4.85129e14i | −0.00858009 | + | 0.0163943i | ||||
\(989\) | 2.19910e16 | − | 2.19910e16i | 0.739035 | − | 0.739035i | ||||
\(990\) | −1.08887e16 | − | 2.67710e15i | −0.363900 | − | 0.0894688i | ||||
\(991\) | 8.14787e15 | 0.270794 | 0.135397 | − | 0.990791i | \(-0.456769\pi\) | ||||
0.135397 | + | 0.990791i | \(0.456769\pi\) | |||||||
\(992\) | 2.35118e15 | + | 6.14557e15i | 0.0777090 | + | 0.203118i | ||||
\(993\) | 3.16244e16 | 1.03944 | ||||||||
\(994\) | −5.81487e16 | − | 1.42965e16i | −1.90071 | − | 0.467309i | ||||
\(995\) | 4.02629e16 | − | 4.02629e16i | 1.30882 | − | 1.30882i | ||||
\(996\) | −6.79616e15 | + | 1.29857e16i | −0.219704 | + | 0.419796i | ||||
\(997\) | −2.72862e16 | − | 2.72862e16i | −0.877243 | − | 0.877243i | 0.116006 | − | 0.993249i | \(-0.462991\pi\) |
−0.993249 | + | 0.116006i | \(0.962991\pi\) | |||||||
\(998\) | 2.91498e16 | − | 1.76449e16i | 0.932005 | − | 0.564157i | ||||
\(999\) | 2.56109e16i | 0.814357i |
(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 | 16.12.e.a.5.19 | ✓ | 42 | |
4.3 | odd | 2 | 64.12.e.a.49.7 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.97.15 | 42 | |||
8.5 | even | 2 | 128.12.e.b.97.7 | 42 | |||
16.3 | odd | 4 | 64.12.e.a.17.7 | 42 | |||
16.5 | even | 4 | 128.12.e.b.33.7 | 42 | |||
16.11 | odd | 4 | 128.12.e.a.33.15 | 42 | |||
16.13 | even | 4 | inner | 16.12.e.a.13.19 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.19 | ✓ | 42 | 1.1 | even | 1 | trivial | |
16.12.e.a.13.19 | yes | 42 | 16.13 | even | 4 | inner | |
64.12.e.a.17.7 | 42 | 16.3 | odd | 4 | |||
64.12.e.a.49.7 | 42 | 4.3 | odd | 2 | |||
128.12.e.a.33.15 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.97.15 | 42 | 8.3 | odd | 2 | |||
128.12.e.b.33.7 | 42 | 16.5 | even | 4 | |||
128.12.e.b.97.7 | 42 | 8.5 | even | 2 |