Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,10,Mod(2,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.c (of order \(11\), degree \(10\), 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: | \(11.8458242318\) |
Analytic rank: | \(0\) |
Dimension: | \(170\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 2.3 | ||
Character | \(\chi\) | \(=\) | 23.2 |
Dual form | 23.10.c.a.12.3 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −26.6551 | − | 17.1302i | −1.17800 | − | 0.757055i | −0.202983 | − | 0.979182i | \(-0.565064\pi\) |
−0.975018 | + | 0.222127i | \(0.928700\pi\) | |||||||
\(3\) | −29.0863 | − | 202.300i | −0.207321 | − | 1.44195i | −0.781851 | − | 0.623466i | \(-0.785724\pi\) |
0.574530 | − | 0.818484i | \(-0.305185\pi\) | |||||||
\(4\) | 204.359 | + | 447.484i | 0.399138 | + | 0.873991i | ||||
\(5\) | 210.621 | + | 61.8440i | 0.150708 | + | 0.0442520i | 0.356217 | − | 0.934403i | \(-0.384067\pi\) |
−0.205508 | + | 0.978655i | \(0.565885\pi\) | |||||||
\(6\) | −2690.14 | + | 5890.58i | −0.847411 | + | 1.85557i | ||||
\(7\) | −3087.20 | + | 3562.81i | −0.485985 | + | 0.560857i | −0.944788 | − | 0.327681i | \(-0.893733\pi\) |
0.458803 | + | 0.888538i | \(0.348278\pi\) | |||||||
\(8\) | −90.4594 | + | 629.159i | −0.00780816 | + | 0.0543070i | ||||
\(9\) | −21193.5 | + | 6222.98i | −1.07674 | + | 0.316160i | ||||
\(10\) | −4554.74 | − | 5256.45i | −0.144033 | − | 0.166223i | ||||
\(11\) | −18225.4 | + | 11712.8i | −0.375327 | + | 0.241208i | −0.714681 | − | 0.699451i | \(-0.753428\pi\) |
0.339354 | + | 0.940659i | \(0.389792\pi\) | |||||||
\(12\) | 84581.8 | − | 54357.4i | 1.17750 | − | 0.756734i | ||||
\(13\) | 35840.8 | + | 41362.4i | 0.348042 | + | 0.401662i | 0.902598 | − | 0.430484i | \(-0.141657\pi\) |
−0.554556 | + | 0.832147i | \(0.687112\pi\) | |||||||
\(14\) | 143321. | − | 42082.9i | 0.997090 | − | 0.292772i | ||||
\(15\) | 6384.84 | − | 44407.5i | 0.0325641 | − | 0.226488i | ||||
\(16\) | 178130. | − | 205574.i | 0.679514 | − | 0.784201i | ||||
\(17\) | −15804.9 | + | 34607.9i | −0.0458956 | + | 0.100497i | −0.931191 | − | 0.364532i | \(-0.881229\pi\) |
0.885295 | + | 0.465029i | \(0.153956\pi\) | |||||||
\(18\) | 671517. | + | 197175.i | 1.50776 | + | 0.442717i | ||||
\(19\) | 217968. | + | 477284.i | 0.383709 | + | 0.840206i | 0.998666 | + | 0.0516449i | \(0.0164464\pi\) |
−0.614956 | + | 0.788561i | \(0.710826\pi\) | |||||||
\(20\) | 15368.2 | + | 106888.i | 0.0214777 | + | 0.149381i | ||||
\(21\) | 810552. | + | 520910.i | 0.909482 | + | 0.584488i | ||||
\(22\) | 686442. | 0.624744 | ||||||||
\(23\) | −209752. | − | 1.32558e6i | −0.156290 | − | 0.987711i | ||||
\(24\) | 129910. | 0.0799267 | ||||||||
\(25\) | −1.60254e6 | − | 1.02989e6i | −0.820499 | − | 0.527303i | ||||
\(26\) | −246793. | − | 1.71648e6i | −0.105914 | − | 0.736646i | ||||
\(27\) | 204213. | + | 447165.i | 0.0739515 | + | 0.161931i | ||||
\(28\) | −2.22520e6 | − | 653377.i | −0.684159 | − | 0.200887i | ||||
\(29\) | −492000. | + | 1.07733e6i | −0.129174 | + | 0.282851i | −0.963157 | − | 0.268938i | \(-0.913327\pi\) |
0.833984 | + | 0.551789i | \(0.186055\pi\) | |||||||
\(30\) | −930898. | + | 1.07431e6i | −0.209825 | + | 0.242151i | ||||
\(31\) | −1.12336e6 | + | 7.81312e6i | −0.218469 | + | 1.51949i | 0.525223 | + | 0.850965i | \(0.323982\pi\) |
−0.743692 | + | 0.668523i | \(0.766927\pi\) | |||||||
\(32\) | −7.95734e6 | + | 2.33649e6i | −1.34151 | + | 0.393902i | ||||
\(33\) | 2.89960e6 | + | 3.34632e6i | 0.425623 | + | 0.491196i | ||||
\(34\) | 1.01412e6 | − | 651736.i | 0.130147 | − | 0.0836404i | ||||
\(35\) | −870568. | + | 559480.i | −0.0980611 | + | 0.0630200i | ||||
\(36\) | −7.11577e6 | − | 8.21204e6i | −0.706091 | − | 0.814872i | ||||
\(37\) | −2.30001e6 | + | 675343.i | −0.201754 | + | 0.0592402i | −0.381048 | − | 0.924555i | \(-0.624437\pi\) |
0.179294 | + | 0.983795i | \(0.442619\pi\) | |||||||
\(38\) | 2.36600e6 | − | 1.64559e7i | 0.184073 | − | 1.28025i | ||||
\(39\) | 7.32514e6 | − | 8.45366e6i | 0.507020 | − | 0.585133i | ||||
\(40\) | −57962.4 | + | 126920.i | −0.00357995 | + | 0.00783899i | ||||
\(41\) | 2.19181e7 | + | 6.43573e6i | 1.21136 | + | 0.355689i | 0.824188 | − | 0.566317i | \(-0.191632\pi\) |
0.387177 | + | 0.922005i | \(0.373450\pi\) | |||||||
\(42\) | −1.26821e7 | − | 2.77698e7i | −0.628880 | − | 1.37706i | ||||
\(43\) | 2.13073e6 | + | 1.48195e7i | 0.0950430 | + | 0.661038i | 0.980529 | + | 0.196373i | \(0.0629163\pi\) |
−0.885486 | + | 0.464665i | \(0.846175\pi\) | |||||||
\(44\) | −8.96579e6 | − | 5.76196e6i | −0.360621 | − | 0.231757i | ||||
\(45\) | −4.84867e6 | −0.176265 | ||||||||
\(46\) | −1.71164e7 | + | 3.89265e7i | −0.563642 | + | 1.28184i | ||||
\(47\) | 3.65935e7 | 1.09386 | 0.546932 | − | 0.837177i | \(-0.315796\pi\) | ||||
0.546932 | + | 0.837177i | \(0.315796\pi\) | |||||||
\(48\) | −4.67687e7 | − | 3.00564e7i | −1.27166 | − | 0.817243i | ||||
\(49\) | 2.58005e6 | + | 1.79447e7i | 0.0639361 | + | 0.444686i | ||||
\(50\) | 2.50736e7 | + | 5.49036e7i | 0.567351 | + | 1.24233i | ||||
\(51\) | 7.46087e6 | + | 2.19071e6i | 0.154427 | + | 0.0453439i | ||||
\(52\) | −1.11846e7 | + | 2.44909e7i | −0.212132 | + | 0.464505i | ||||
\(53\) | −1.10441e7 | + | 1.27455e7i | −0.192259 | + | 0.221879i | −0.843692 | − | 0.536827i | \(-0.819623\pi\) |
0.651433 | + | 0.758706i | \(0.274168\pi\) | |||||||
\(54\) | 2.21669e6 | − | 1.54175e7i | 0.0354759 | − | 0.246741i | ||||
\(55\) | −4.56303e6 | + | 1.33983e6i | −0.0672389 | + | 0.0197431i | ||||
\(56\) | −1.96231e6 | − | 2.26463e6i | −0.0266638 | − | 0.0307716i | ||||
\(57\) | 9.02146e7 | − | 5.79774e7i | 1.13198 | − | 0.727482i | ||||
\(58\) | 3.15692e7 | − | 2.02883e7i | 0.366300 | − | 0.235407i | ||||
\(59\) | 3.38268e7 | + | 3.90382e7i | 0.363435 | + | 0.419426i | 0.907787 | − | 0.419430i | \(-0.137770\pi\) |
−0.544353 | + | 0.838856i | \(0.683225\pi\) | |||||||
\(60\) | 2.11764e7 | − | 6.21796e6i | 0.210946 | − | 0.0619395i | ||||
\(61\) | −2.09560e7 | + | 1.45752e8i | −0.193787 | + | 1.34782i | 0.628085 | + | 0.778144i | \(0.283839\pi\) |
−0.821872 | + | 0.569672i | \(0.807070\pi\) | |||||||
\(62\) | 1.63784e8 | − | 1.89016e8i | 1.40769 | − | 1.62456i | ||||
\(63\) | 4.32573e7 | − | 9.47202e7i | 0.345960 | − | 0.757548i | ||||
\(64\) | 1.18499e8 | + | 3.47946e7i | 0.882889 | + | 0.259240i | ||||
\(65\) | 4.99081e6 | + | 1.09284e7i | 0.0346786 | + | 0.0759355i | ||||
\(66\) | −1.99661e7 | − | 1.38867e8i | −0.129523 | − | 0.900849i | ||||
\(67\) | −2.30614e8 | − | 1.48207e8i | −1.39813 | − | 0.898527i | −0.398310 | − | 0.917251i | \(-0.630403\pi\) |
−0.999825 | + | 0.0187241i | \(0.994040\pi\) | |||||||
\(68\) | −1.87163e7 | −0.106152 | ||||||||
\(69\) | −2.62063e8 | + | 8.09891e7i | −1.39183 | + | 0.430136i | ||||
\(70\) | 3.27891e7 | 0.163226 | ||||||||
\(71\) | −1.02318e8 | − | 6.57559e7i | −0.477849 | − | 0.307095i | 0.279454 | − | 0.960159i | \(-0.409847\pi\) |
−0.757302 | + | 0.653065i | \(0.773483\pi\) | |||||||
\(72\) | −1.99809e6 | − | 1.38970e7i | −0.00876232 | − | 0.0609433i | ||||
\(73\) | 1.98612e8 | + | 4.34899e8i | 0.818563 | + | 1.79240i | 0.565019 | + | 0.825078i | \(0.308869\pi\) |
0.253544 | + | 0.967324i | \(0.418404\pi\) | |||||||
\(74\) | 7.28757e7 | + | 2.13982e7i | 0.282514 | + | 0.0829536i | ||||
\(75\) | −1.61734e8 | + | 3.54149e8i | −0.590237 | + | 1.29244i | ||||
\(76\) | −1.69033e8 | + | 1.95075e8i | −0.581180 | + | 0.670717i | ||||
\(77\) | 1.45350e7 | − | 1.01093e8i | 0.0471202 | − | 0.327728i | ||||
\(78\) | −3.40065e8 | + | 9.98522e7i | −1.04025 | + | 0.305444i | ||||
\(79\) | −3.12130e8 | − | 3.60218e8i | −0.901600 | − | 1.04050i | −0.998975 | − | 0.0452546i | \(-0.985590\pi\) |
0.0973751 | − | 0.995248i | \(-0.468955\pi\) | |||||||
\(80\) | 5.02316e7 | − | 3.22819e7i | 0.137111 | − | 0.0881158i | ||||
\(81\) | −2.81225e8 | + | 1.80732e8i | −0.725890 | + | 0.466501i | ||||
\(82\) | −4.73983e8 | − | 5.47006e8i | −1.15771 | − | 1.33607i | ||||
\(83\) | 2.76041e8 | − | 8.10528e7i | 0.638442 | − | 0.187464i | 0.0535378 | − | 0.998566i | \(-0.482950\pi\) |
0.584904 | + | 0.811102i | \(0.301132\pi\) | |||||||
\(84\) | −6.74552e7 | + | 4.69161e8i | −0.147829 | + | 1.02817i | ||||
\(85\) | −5.46914e6 | + | 6.31172e6i | −0.0113641 | + | 0.0131148i | ||||
\(86\) | 1.97067e8 | − | 4.31516e8i | 0.388482 | − | 0.850657i | ||||
\(87\) | 2.32254e8 | + | 6.81960e7i | 0.434637 | + | 0.127621i | ||||
\(88\) | −5.72053e6 | − | 1.25262e7i | −0.0101687 | − | 0.0222663i | ||||
\(89\) | −2.58889e7 | − | 1.80061e8i | −0.0437379 | − | 0.304204i | −0.999934 | − | 0.0114773i | \(-0.996347\pi\) |
0.956196 | − | 0.292726i | \(-0.0945625\pi\) | |||||||
\(90\) | 1.29242e8 | + | 8.30587e7i | 0.207640 | + | 0.133442i | ||||
\(91\) | −2.58014e8 | −0.394418 | ||||||||
\(92\) | 5.50310e8 | − | 3.64754e8i | 0.800870 | − | 0.530830i | ||||
\(93\) | 1.61327e9 | 2.23632 | ||||||||
\(94\) | −9.75403e8 | − | 6.26853e8i | −1.28857 | − | 0.828115i | ||||
\(95\) | 1.63916e7 | + | 1.14006e8i | 0.0206474 | + | 0.143606i | ||||
\(96\) | 7.04121e8 | + | 1.54181e9i | 0.846110 | + | 1.85272i | ||||
\(97\) | 1.34306e9 | + | 3.94359e8i | 1.54037 | + | 0.452292i | 0.938204 | − | 0.346082i | \(-0.112488\pi\) |
0.602162 | + | 0.798374i | \(0.294306\pi\) | |||||||
\(98\) | 2.38624e8 | − | 5.22514e8i | 0.261335 | − | 0.572243i | ||||
\(99\) | 3.13373e8 | − | 3.61651e8i | 0.327871 | − | 0.378383i | ||||
\(100\) | 1.33365e8 | − | 9.27576e8i | 0.133365 | − | 0.927576i | ||||
\(101\) | 4.36490e8 | − | 1.28165e8i | 0.417377 | − | 0.122553i | −0.0662997 | − | 0.997800i | \(-0.521119\pi\) |
0.483676 | + | 0.875247i | \(0.339301\pi\) | |||||||
\(102\) | −1.61343e8 | − | 1.86200e8i | −0.147588 | − | 0.170325i | ||||
\(103\) | −1.28994e9 | + | 8.28997e8i | −1.12928 | + | 0.725747i | −0.965411 | − | 0.260734i | \(-0.916035\pi\) |
−0.163874 | + | 0.986481i | \(0.552399\pi\) | |||||||
\(104\) | −2.92657e7 | + | 1.88079e7i | −0.0245306 | + | 0.0157649i | ||||
\(105\) | 1.38504e8 | + | 1.59843e8i | 0.111202 | + | 0.128334i | ||||
\(106\) | 5.12714e8 | − | 1.50546e8i | 0.394456 | − | 0.115823i | ||||
\(107\) | 1.44601e8 | − | 1.00572e9i | 0.106646 | − | 0.741737i | −0.864393 | − | 0.502816i | \(-0.832297\pi\) |
0.971039 | − | 0.238921i | \(-0.0767936\pi\) | |||||||
\(108\) | −1.58366e8 | + | 1.82764e8i | −0.112010 | + | 0.129266i | ||||
\(109\) | −1.03809e9 | + | 2.27311e9i | −0.704397 | + | 1.54241i | 0.130160 | + | 0.991493i | \(0.458451\pi\) |
−0.834557 | + | 0.550922i | \(0.814276\pi\) | |||||||
\(110\) | 1.44579e8 | + | 4.24524e7i | 0.0941542 | + | 0.0276462i | ||||
\(111\) | 2.03521e8 | + | 4.45648e8i | 0.127249 | + | 0.278637i | ||||
\(112\) | 1.82496e8 | + | 1.26929e9i | 0.109591 | + | 0.762220i | ||||
\(113\) | 1.19911e9 | + | 7.70618e8i | 0.691838 | + | 0.444617i | 0.838739 | − | 0.544534i | \(-0.183293\pi\) |
−0.146901 | + | 0.989151i | \(0.546930\pi\) | |||||||
\(114\) | −3.39785e9 | −1.88422 | ||||||||
\(115\) | 3.78007e7 | − | 2.92167e8i | 0.0201539 | − | 0.155773i | ||||
\(116\) | −5.82632e8 | −0.298767 | ||||||||
\(117\) | −1.01699e9 | − | 6.53580e8i | −0.501742 | − | 0.322450i | ||||
\(118\) | −2.32925e8 | − | 1.62003e9i | −0.110598 | − | 0.769224i | ||||
\(119\) | −7.45086e7 | − | 1.63151e8i | −0.0340600 | − | 0.0745810i | ||||
\(120\) | 2.73618e7 | + | 8.03416e6i | 0.0120456 | + | 0.00353692i | ||||
\(121\) | −7.84550e8 | + | 1.71793e9i | −0.332726 | + | 0.728568i | ||||
\(122\) | 3.05535e9 | − | 3.52606e9i | 1.24865 | − | 1.44102i | ||||
\(123\) | 6.64431e8 | − | 4.62122e9i | 0.261744 | − | 1.82047i | ||||
\(124\) | −3.72581e9 | + | 1.09400e9i | −1.41522 | + | 0.415546i | ||||
\(125\) | −5.54599e8 | − | 6.40041e8i | −0.203181 | − | 0.234484i | ||||
\(126\) | −2.77560e9 | + | 1.78377e9i | −0.981047 | + | 0.630481i | ||||
\(127\) | 1.40651e9 | − | 9.03911e8i | 0.479763 | − | 0.308325i | −0.278314 | − | 0.960490i | \(-0.589775\pi\) |
0.758077 | + | 0.652165i | \(0.226139\pi\) | |||||||
\(128\) | 2.18067e8 | + | 2.51662e8i | 0.0718033 | + | 0.0828654i | ||||
\(129\) | 2.93602e9 | − | 8.62092e8i | 0.933480 | − | 0.274094i | ||||
\(130\) | 5.41742e7 | − | 3.76790e8i | 0.0166360 | − | 0.115706i | ||||
\(131\) | −7.44509e8 | + | 8.59210e8i | −0.220876 | + | 0.254905i | −0.855363 | − | 0.518029i | \(-0.826666\pi\) |
0.634487 | + | 0.772934i | \(0.281211\pi\) | |||||||
\(132\) | −9.04863e8 | + | 1.98137e9i | −0.259418 | + | 0.568046i | ||||
\(133\) | −2.37339e9 | − | 6.96889e8i | −0.657712 | − | 0.193122i | ||||
\(134\) | 3.60823e9 | + | 7.90093e9i | 0.966770 | + | 2.11693i | ||||
\(135\) | 1.53572e7 | + | 1.06812e8i | 0.00397934 | + | 0.0276769i | ||||
\(136\) | −2.03441e7 | − | 1.30744e7i | −0.00509934 | − | 0.00327715i | ||||
\(137\) | −5.56481e9 | −1.34961 | −0.674804 | − | 0.737997i | \(-0.735772\pi\) | ||||
−0.674804 | + | 0.737997i | \(0.735772\pi\) | |||||||
\(138\) | 8.37269e9 | + | 2.33042e9i | 1.96521 | + | 0.546990i | ||||
\(139\) | −2.10543e9 | −0.478382 | −0.239191 | − | 0.970972i | \(-0.576882\pi\) | ||||
−0.239191 | + | 0.970972i | \(0.576882\pi\) | |||||||
\(140\) | −4.28267e8 | − | 2.75230e8i | −0.0942189 | − | 0.0605508i | ||||
\(141\) | −1.06437e9 | − | 7.40285e9i | −0.226781 | − | 1.57730i | ||||
\(142\) | 1.60089e9 | + | 3.50546e9i | 0.330418 | + | 0.723516i | ||||
\(143\) | −1.13768e9 | − | 3.34053e8i | −0.227514 | − | 0.0668042i | ||||
\(144\) | −2.49593e9 | + | 5.46533e9i | −0.483729 | + | 1.05922i | ||||
\(145\) | −1.70252e8 | + | 1.96481e8i | −0.0319843 | + | 0.0369118i | ||||
\(146\) | 2.15589e9 | − | 1.49945e10i | 0.392680 | − | 2.73115i | ||||
\(147\) | 3.55516e9 | − | 1.04389e9i | 0.627959 | − | 0.184385i | ||||
\(148\) | −7.72232e8 | − | 8.91203e8i | −0.132303 | − | 0.152686i | ||||
\(149\) | −9.19078e9 | + | 5.90656e9i | −1.52762 | + | 0.981739i | −0.537226 | + | 0.843438i | \(0.680528\pi\) |
−0.990390 | + | 0.138301i | \(0.955836\pi\) | |||||||
\(150\) | 1.03777e10 | − | 6.66933e9i | 1.67375 | − | 1.07565i | ||||
\(151\) | −3.65547e9 | − | 4.21864e9i | −0.572199 | − | 0.660353i | 0.393710 | − | 0.919235i | \(-0.371191\pi\) |
−0.965909 | + | 0.258882i | \(0.916646\pi\) | |||||||
\(152\) | −3.20005e8 | + | 9.39619e7i | −0.0486251 | + | 0.0142776i | ||||
\(153\) | 1.19597e8 | − | 8.31816e8i | 0.0176445 | − | 0.122720i | ||||
\(154\) | −2.11918e9 | + | 2.44567e9i | −0.303616 | + | 0.350392i | ||||
\(155\) | −7.19798e8 | + | 1.57614e9i | −0.100166 | + | 0.219332i | ||||
\(156\) | 5.27983e9 | + | 1.55030e9i | 0.713772 | + | 0.209582i | ||||
\(157\) | −6.47894e8 | − | 1.41869e9i | −0.0851051 | − | 0.186354i | 0.862295 | − | 0.506407i | \(-0.169027\pi\) |
−0.947400 | + | 0.320053i | \(0.896299\pi\) | |||||||
\(158\) | 2.14927e9 | + | 1.49485e10i | 0.274368 | + | 1.90827i | ||||
\(159\) | 2.89965e9 | + | 1.86349e9i | 0.359798 | + | 0.231228i | ||||
\(160\) | −1.82049e9 | −0.219608 | ||||||||
\(161\) | 5.37033e9 | + | 3.34501e9i | 0.629919 | + | 0.392356i | ||||
\(162\) | 1.05921e10 | 1.20827 | ||||||||
\(163\) | 7.88039e8 | + | 5.06442e8i | 0.0874386 | + | 0.0561934i | 0.583630 | − | 0.812020i | \(-0.301632\pi\) |
−0.496191 | + | 0.868213i | \(0.665268\pi\) | |||||||
\(164\) | 1.59927e9 | + | 1.11232e10i | 0.172633 | + | 1.20069i | ||||
\(165\) | 4.03768e8 | + | 8.84129e8i | 0.0424086 | + | 0.0928620i | ||||
\(166\) | −8.74635e9 | − | 2.56816e9i | −0.894006 | − | 0.262504i | ||||
\(167\) | 7.34632e8 | − | 1.60862e9i | 0.0730880 | − | 0.160040i | −0.869561 | − | 0.493825i | \(-0.835598\pi\) |
0.942649 | + | 0.333784i | \(0.108326\pi\) | |||||||
\(168\) | −4.01057e8 | + | 4.62845e8i | −0.0388432 | + | 0.0448274i | ||||
\(169\) | 1.08289e9 | − | 7.53164e9i | 0.102116 | − | 0.710230i | ||||
\(170\) | 2.53901e8 | − | 7.45522e7i | 0.0233155 | − | 0.00684605i | ||||
\(171\) | −7.58965e9 | − | 8.75893e9i | −0.678796 | − | 0.783373i | ||||
\(172\) | −6.19607e9 | + | 3.98197e9i | −0.539807 | + | 0.346913i | ||||
\(173\) | 5.97640e9 | − | 3.84080e9i | 0.507261 | − | 0.325997i | −0.261853 | − | 0.965108i | \(-0.584334\pi\) |
0.769115 | + | 0.639111i | \(0.220697\pi\) | |||||||
\(174\) | −5.02255e9 | − | 5.79633e9i | −0.415387 | − | 0.479382i | ||||
\(175\) | 8.61664e9 | − | 2.53007e9i | 0.694491 | − | 0.203921i | ||||
\(176\) | −8.38667e8 | + | 5.83306e9i | −0.0658844 | + | 0.458236i | ||||
\(177\) | 6.91352e9 | − | 7.97863e9i | 0.529443 | − | 0.611010i | ||||
\(178\) | −2.39441e9 | + | 5.24303e9i | −0.178776 | + | 0.391464i | ||||
\(179\) | 5.24176e9 | + | 1.53912e9i | 0.381626 | + | 0.112056i | 0.466918 | − | 0.884300i | \(-0.345364\pi\) |
−0.0852921 | + | 0.996356i | \(0.527182\pi\) | |||||||
\(180\) | −9.90868e8 | − | 2.16970e9i | −0.0703541 | − | 0.154054i | ||||
\(181\) | −6.98692e8 | − | 4.85951e9i | −0.0483874 | − | 0.336542i | −0.999607 | − | 0.0280276i | \(-0.991077\pi\) |
0.951220 | − | 0.308514i | \(-0.0998317\pi\) | |||||||
\(182\) | 6.87739e9 | + | 4.41983e9i | 0.464625 | + | 0.298596i | ||||
\(183\) | 3.00952e10 | 1.98366 | ||||||||
\(184\) | 8.52973e8 | − | 1.20566e7i | 0.0548599 | − | 0.000775435i | ||||
\(185\) | −5.26197e8 | −0.0330275 | ||||||||
\(186\) | −4.30019e10 | − | 2.76356e10i | −2.63438 | − | 1.69302i | ||||
\(187\) | −1.17303e8 | − | 8.15861e8i | −0.00701491 | − | 0.0487898i | ||||
\(188\) | 7.47820e9 | + | 1.63750e10i | 0.436603 | + | 0.956027i | ||||
\(189\) | −2.22361e9 | − | 6.52911e8i | −0.126760 | − | 0.0372200i | ||||
\(190\) | 1.51603e9 | − | 3.31964e9i | 0.0843950 | − | 0.184799i | ||||
\(191\) | −2.22813e10 | + | 2.57139e10i | −1.21141 | + | 1.39804i | −0.318421 | + | 0.947949i | \(0.603153\pi\) |
−0.892985 | + | 0.450087i | \(0.851393\pi\) | |||||||
\(192\) | 3.59222e9 | − | 2.49845e10i | 0.190769 | − | 1.32683i | ||||
\(193\) | −1.64180e10 | + | 4.82077e9i | −0.851752 | + | 0.250097i | −0.678336 | − | 0.734752i | \(-0.737299\pi\) |
−0.173416 | + | 0.984849i | \(0.555480\pi\) | |||||||
\(194\) | −2.90441e10 | − | 3.35186e10i | −1.47214 | − | 1.69894i | ||||
\(195\) | 2.06564e9 | − | 1.32751e9i | 0.102305 | − | 0.0657478i | ||||
\(196\) | −7.50269e9 | + | 4.82168e9i | −0.363132 | + | 0.233371i | ||||
\(197\) | −4.49818e9 | − | 5.19118e9i | −0.212784 | − | 0.245566i | 0.639317 | − | 0.768943i | \(-0.279217\pi\) |
−0.852101 | + | 0.523377i | \(0.824672\pi\) | |||||||
\(198\) | −1.45481e10 | + | 4.27172e9i | −0.672689 | + | 0.197519i | ||||
\(199\) | −4.17429e9 | + | 2.90328e10i | −0.188688 | + | 1.31235i | 0.646722 | + | 0.762726i | \(0.276139\pi\) |
−0.835410 | + | 0.549627i | \(0.814770\pi\) | |||||||
\(200\) | 7.92928e8 | − | 9.15087e8i | 0.0350428 | − | 0.0404415i | ||||
\(201\) | −2.32745e10 | + | 5.09640e10i | −1.00577 | + | 2.20232i | ||||
\(202\) | −1.38302e10 | − | 4.06091e9i | −0.584449 | − | 0.171610i | ||||
\(203\) | −2.31942e9 | − | 5.07883e9i | −0.0958623 | − | 0.209909i | ||||
\(204\) | 5.44389e8 | + | 3.78631e9i | 0.0220076 | + | 0.153067i | ||||
\(205\) | 4.21840e9 | + | 2.71100e9i | 0.166823 | + | 0.107211i | ||||
\(206\) | 4.85845e10 | 1.87973 | ||||||||
\(207\) | 1.26944e10 | + | 2.67884e10i | 0.480559 | + | 1.01410i | ||||
\(208\) | 1.48874e10 | 0.551483 | ||||||||
\(209\) | −9.56288e9 | − | 6.14569e9i | −0.346681 | − | 0.222798i | ||||
\(210\) | −9.53715e8 | − | 6.63323e9i | −0.0338401 | − | 0.235363i | ||||
\(211\) | 8.01078e9 | + | 1.75412e10i | 0.278230 | + | 0.609238i | 0.996225 | − | 0.0868098i | \(-0.0276673\pi\) |
−0.717995 | + | 0.696048i | \(0.754940\pi\) | |||||||
\(212\) | −7.96037e9 | − | 2.33737e9i | −0.270658 | − | 0.0794725i | ||||
\(213\) | −1.03264e10 | + | 2.26116e10i | −0.343747 | + | 0.752701i | ||||
\(214\) | −2.10825e10 | + | 2.43305e10i | −0.687164 | + | 0.793030i | ||||
\(215\) | −4.67723e8 | + | 3.25309e9i | −0.0149285 | + | 0.103830i | ||||
\(216\) | −2.99811e8 | + | 8.80324e7i | −0.00937142 | + | 0.00275170i | ||||
\(217\) | −2.43687e10 | − | 2.81230e10i | −0.746042 | − | 0.860978i | ||||
\(218\) | 6.66094e10 | − | 4.28072e10i | 1.99747 | − | 1.28370i | ||||
\(219\) | 8.22031e10 | − | 5.28287e10i | 2.41485 | − | 1.55193i | ||||
\(220\) | −1.53204e9 | − | 1.76807e9i | −0.0440930 | − | 0.0508860i | ||||
\(221\) | −1.99792e9 | + | 5.86643e8i | −0.0563396 | + | 0.0165428i | ||||
\(222\) | 2.20917e9 | − | 1.53651e10i | 0.0610438 | − | 0.424569i | ||||
\(223\) | 1.32834e10 | − | 1.53298e10i | 0.359697 | − | 0.415112i | −0.546841 | − | 0.837236i | \(-0.684170\pi\) |
0.906538 | + | 0.422124i | \(0.138715\pi\) | |||||||
\(224\) | 1.62414e10 | − | 3.55637e10i | 0.431030 | − | 0.943824i | ||||
\(225\) | 4.03724e10 | + | 1.18544e10i | 1.05018 | + | 0.308360i | ||||
\(226\) | −1.87615e10 | − | 4.10818e10i | −0.478386 | − | 1.04752i | ||||
\(227\) | −7.12872e9 | − | 4.95814e10i | −0.178195 | − | 1.23937i | −0.860936 | − | 0.508713i | \(-0.830121\pi\) |
0.682741 | − | 0.730660i | \(-0.260788\pi\) | |||||||
\(228\) | 4.43801e10 | + | 2.85214e10i | 1.08763 | + | 0.698978i | ||||
\(229\) | 2.88592e10 | 0.693464 | 0.346732 | − | 0.937964i | \(-0.387291\pi\) | ||||
0.346732 | + | 0.937964i | \(0.387291\pi\) | |||||||
\(230\) | −6.01246e9 | + | 7.14021e9i | −0.141670 | + | 0.168243i | ||||
\(231\) | −2.08739e10 | −0.482337 | ||||||||
\(232\) | −6.33306e8 | − | 4.07001e8i | −0.0143522 | − | 0.00922358i | ||||
\(233\) | −1.19893e9 | − | 8.33876e9i | −0.0266498 | − | 0.185353i | 0.972148 | − | 0.234366i | \(-0.0753015\pi\) |
−0.998798 | + | 0.0490131i | \(0.984392\pi\) | |||||||
\(234\) | 1.59120e10 | + | 3.48425e10i | 0.346940 | + | 0.759693i | ||||
\(235\) | 7.70737e9 | + | 2.26309e9i | 0.164854 | + | 0.0484056i | ||||
\(236\) | −1.05561e10 | + | 2.31147e10i | −0.221514 | + | 0.485048i | ||||
\(237\) | −6.37933e10 | + | 7.36214e10i | −1.31343 | + | 1.51578i | ||||
\(238\) | −8.08775e8 | + | 5.62516e9i | −0.0163392 | + | 0.113642i | ||||
\(239\) | 8.68901e10 | − | 2.55132e10i | 1.72258 | − | 0.505796i | 0.737130 | − | 0.675750i | \(-0.236180\pi\) |
0.985452 | + | 0.169955i | \(0.0543621\pi\) | |||||||
\(240\) | −7.99167e9 | − | 9.22288e9i | −0.155485 | − | 0.179439i | ||||
\(241\) | −6.21298e10 | + | 3.99284e10i | −1.18638 | + | 0.762439i | −0.976548 | − | 0.215298i | \(-0.930928\pi\) |
−0.209830 | + | 0.977738i | \(0.567291\pi\) | |||||||
\(242\) | 5.03407e10 | − | 3.23520e10i | 0.943517 | − | 0.606362i | ||||
\(243\) | 5.10783e10 | + | 5.89475e10i | 0.939741 | + | 1.08452i | ||||
\(244\) | −6.95042e10 | + | 2.04083e10i | −1.25533 | + | 0.368597i | ||||
\(245\) | −5.66356e8 | + | 3.93909e9i | −0.0100425 | + | 0.0698472i | ||||
\(246\) | −9.68728e10 | + | 1.11797e11i | −1.68653 | + | 1.94636i | ||||
\(247\) | −1.19295e10 | + | 2.61219e10i | −0.203932 | + | 0.446549i | ||||
\(248\) | −4.81408e9 | − | 1.41354e9i | −0.0808129 | − | 0.0237288i | ||||
\(249\) | −2.44260e10 | − | 5.34855e10i | −0.402675 | − | 0.881736i | ||||
\(250\) | 3.81886e9 | + | 2.65608e10i | 0.0618307 | + | 0.430042i | ||||
\(251\) | −9.26600e10 | − | 5.95490e10i | −1.47354 | − | 0.946984i | −0.997724 | − | 0.0674368i | \(-0.978518\pi\) |
−0.475812 | − | 0.879547i | \(-0.657846\pi\) | |||||||
\(252\) | 5.12257e10 | 0.800176 | ||||||||
\(253\) | 1.93490e10 | + | 2.17024e10i | 0.296904 | + | 0.333017i | ||||
\(254\) | −5.29750e10 | −0.798581 | ||||||||
\(255\) | 1.43594e9 | + | 9.22821e8i | 0.0212669 | + | 0.0136674i | ||||
\(256\) | −1.05006e10 | − | 7.30331e10i | −0.152803 | − | 1.06277i | ||||
\(257\) | −8.55060e9 | − | 1.87232e10i | −0.122264 | − | 0.267720i | 0.838597 | − | 0.544752i | \(-0.183376\pi\) |
−0.960861 | + | 0.277032i | \(0.910649\pi\) | |||||||
\(258\) | −9.30277e10 | − | 2.73154e10i | −1.30714 | − | 0.383812i | ||||
\(259\) | 4.69445e9 | − | 1.02794e10i | 0.0648240 | − | 0.141945i | ||||
\(260\) | −3.87034e9 | + | 4.46661e9i | −0.0525254 | + | 0.0606175i | ||||
\(261\) | 3.72301e9 | − | 2.58941e10i | 0.0496606 | − | 0.345397i | ||||
\(262\) | 3.45634e10 | − | 1.01487e10i | 0.453170 | − | 0.133063i | ||||
\(263\) | −1.91981e10 | − | 2.21558e10i | −0.247433 | − | 0.285553i | 0.618424 | − | 0.785845i | \(-0.287771\pi\) |
−0.865857 | + | 0.500292i | \(0.833226\pi\) | |||||||
\(264\) | −2.36766e9 | + | 1.52160e9i | −0.0299987 | + | 0.0192790i | ||||
\(265\) | −3.11435e9 | + | 2.00147e9i | −0.0387937 | + | 0.0249312i | ||||
\(266\) | 5.13250e10 | + | 5.92322e10i | 0.628582 | + | 0.725422i | ||||
\(267\) | −3.56733e10 | + | 1.04746e10i | −0.429579 | + | 0.126136i | ||||
\(268\) | 1.91920e10 | − | 1.33483e11i | 0.227255 | − | 1.58059i | ||||
\(269\) | −2.05367e10 | + | 2.37006e10i | −0.239136 | + | 0.275978i | −0.862614 | − | 0.505863i | \(-0.831174\pi\) |
0.623477 | + | 0.781842i | \(0.285719\pi\) | |||||||
\(270\) | 1.42036e9 | − | 3.11016e9i | 0.0162653 | − | 0.0356160i | ||||
\(271\) | −9.10573e10 | − | 2.67368e10i | −1.02554 | − | 0.301126i | −0.274644 | − | 0.961546i | \(-0.588560\pi\) |
−0.750896 | + | 0.660420i | \(0.770378\pi\) | |||||||
\(272\) | 4.29913e9 | + | 9.41378e9i | 0.0476234 | + | 0.104281i | ||||
\(273\) | 7.50468e9 | + | 5.21962e10i | 0.0817712 | + | 0.568731i | ||||
\(274\) | 1.48331e11 | + | 9.53263e10i | 1.58984 | + | 1.02173i | ||||
\(275\) | 4.12697e10 | 0.435145 | ||||||||
\(276\) | −8.97963e10 | − | 1.00718e11i | −0.931467 | − | 1.04476i | ||||
\(277\) | 4.25599e10 | 0.434352 | 0.217176 | − | 0.976133i | \(-0.430316\pi\) | ||||
0.217176 | + | 0.976133i | \(0.430316\pi\) | |||||||
\(278\) | 5.61206e10 | + | 3.60665e10i | 0.563535 | + | 0.362162i | ||||
\(279\) | −2.48130e10 | − | 1.72578e11i | −0.245166 | − | 1.70517i | ||||
\(280\) | −2.73251e8 | − | 5.98336e8i | −0.00265675 | − | 0.00581747i | ||||
\(281\) | 3.77657e10 | + | 1.10890e10i | 0.361342 | + | 0.106100i | 0.457364 | − | 0.889280i | \(-0.348794\pi\) |
−0.0960218 | + | 0.995379i | \(0.530612\pi\) | |||||||
\(282\) | −9.84415e10 | + | 2.15557e11i | −0.926952 | + | 2.02974i | ||||
\(283\) | 6.17484e10 | − | 7.12614e10i | 0.572251 | − | 0.660413i | −0.393669 | − | 0.919252i | \(-0.628795\pi\) |
0.965920 | + | 0.258839i | \(0.0833400\pi\) | |||||||
\(284\) | 8.51506e9 | − | 5.92235e10i | 0.0776703 | − | 0.540209i | ||||
\(285\) | 2.25867e10 | − | 6.63205e9i | 0.202792 | − | 0.0595451i | ||||
\(286\) | 2.46026e10 | + | 2.83929e10i | 0.217437 | + | 0.250936i | ||||
\(287\) | −9.05947e10 | + | 5.82217e10i | −0.788196 | + | 0.506543i | ||||
\(288\) | 1.54104e11 | − | 9.90369e10i | 1.31992 | − | 0.848263i | ||||
\(289\) | 7.67106e10 | + | 8.85288e10i | 0.646867 | + | 0.746525i | ||||
\(290\) | 7.90386e9 | − | 2.32078e9i | 0.0656218 | − | 0.0192683i | ||||
\(291\) | 4.07140e10 | − | 2.83172e11i | 0.332832 | − | 2.31490i | ||||
\(292\) | −1.54022e11 | + | 1.77751e11i | −1.23982 | + | 1.43083i | ||||
\(293\) | −7.90632e10 | + | 1.73124e11i | −0.626715 | + | 1.37231i | 0.283819 | + | 0.958878i | \(0.408399\pi\) |
−0.910533 | + | 0.413436i | \(0.864329\pi\) | |||||||
\(294\) | −1.12645e11 | − | 3.30756e10i | −0.879326 | − | 0.258193i | ||||
\(295\) | 4.71036e9 | + | 1.03143e10i | 0.0362122 | + | 0.0792937i | ||||
\(296\) | −2.16841e8 | − | 1.50816e9i | −0.00164183 | − | 0.0114192i | ||||
\(297\) | −8.95941e9 | − | 5.75786e9i | −0.0668152 | − | 0.0429395i | ||||
\(298\) | 3.46162e11 | 2.54276 | ||||||||
\(299\) | 4.73114e10 | − | 5.61856e10i | 0.342331 | − | 0.406541i | ||||
\(300\) | −1.91528e11 | −1.36517 | ||||||||
\(301\) | −5.93772e10 | − | 3.81594e10i | −0.416937 | − | 0.267949i | ||||
\(302\) | 2.51709e10 | + | 1.75067e11i | 0.174127 | + | 1.21108i | ||||
\(303\) | −3.86237e10 | − | 8.45740e10i | −0.263246 | − | 0.576428i | ||||
\(304\) | 1.36944e11 | + | 4.02103e10i | 0.919626 | + | 0.270027i | ||||
\(305\) | −1.34277e10 | + | 2.94025e10i | −0.0888489 | + | 0.194552i | ||||
\(306\) | −1.74371e10 | + | 2.01234e10i | −0.113691 | + | 0.131207i | ||||
\(307\) | −9.47992e9 | + | 6.59343e10i | −0.0609091 | + | 0.423632i | 0.936438 | + | 0.350834i | \(0.114102\pi\) |
−0.997347 | + | 0.0727979i | \(0.976807\pi\) | |||||||
\(308\) | 4.82079e10 | − | 1.41551e10i | 0.305239 | − | 0.0896263i | ||||
\(309\) | 2.05226e11 | + | 2.36843e11i | 1.28061 | + | 1.47791i | ||||
\(310\) | 4.61859e10 | − | 2.96819e10i | 0.284041 | − | 0.182542i | ||||
\(311\) | −1.34665e11 | + | 8.65439e10i | −0.816268 | + | 0.524584i | −0.880887 | − | 0.473326i | \(-0.843053\pi\) |
0.0646188 | + | 0.997910i | \(0.479417\pi\) | |||||||
\(312\) | 4.65607e9 | + | 5.37339e9i | 0.0278179 | + | 0.0321035i | ||||
\(313\) | 1.46810e11 | − | 4.31074e10i | 0.864583 | − | 0.253865i | 0.180773 | − | 0.983525i | \(-0.442140\pi\) |
0.683810 | + | 0.729660i | \(0.260322\pi\) | |||||||
\(314\) | −7.03276e9 | + | 4.89139e10i | −0.0408265 | + | 0.283955i | ||||
\(315\) | 1.49688e10 | − | 1.72749e10i | 0.0856622 | − | 0.0988594i | ||||
\(316\) | 9.74049e10 | − | 2.13287e11i | 0.549527 | − | 1.20330i | ||||
\(317\) | −3.01375e11 | − | 8.84916e10i | −1.67625 | − | 0.492193i | −0.700978 | − | 0.713182i | \(-0.747253\pi\) |
−0.975276 | + | 0.220990i | \(0.929071\pi\) | |||||||
\(318\) | −4.53685e10 | − | 9.93432e10i | −0.248790 | − | 0.544774i | ||||
\(319\) | −3.65160e9 | − | 2.53974e10i | −0.0197436 | − | 0.137319i | ||||
\(320\) | 2.28067e10 | + | 1.46570e10i | 0.121587 | + | 0.0781392i | ||||
\(321\) | −2.07663e11 | −1.09166 | ||||||||
\(322\) | −8.58462e10 | − | 1.81156e11i | −0.445010 | − | 0.939080i | ||||
\(323\) | −1.99627e10 | −0.102049 | ||||||||
\(324\) | −1.38345e11 | − | 8.89092e10i | −0.697448 | − | 0.448223i | ||||
\(325\) | −1.48375e10 | − | 1.03197e11i | −0.0737708 | − | 0.513087i | ||||
\(326\) | −1.23298e10 | − | 2.69985e10i | −0.0604613 | − | 0.132392i | ||||
\(327\) | 4.90044e11 | + | 1.43890e11i | 2.37012 | + | 0.695930i | ||||
\(328\) | −6.03179e9 | + | 1.32078e10i | −0.0287749 | + | 0.0630083i | ||||
\(329\) | −1.12971e11 | + | 1.30376e11i | −0.531601 | + | 0.613501i | ||||
\(330\) | 4.38282e9 | − | 3.04832e10i | 0.0203442 | − | 0.141497i | ||||
\(331\) | 3.00501e11 | − | 8.82350e10i | 1.37600 | − | 0.404031i | 0.491627 | − | 0.870806i | \(-0.336402\pi\) |
0.884376 | + | 0.466775i | \(0.154584\pi\) | |||||||
\(332\) | 9.26812e10 | + | 1.06960e11i | 0.418668 | + | 0.483169i | ||||
\(333\) | 4.45426e10 | − | 2.86258e10i | 0.198507 | − | 0.127573i | ||||
\(334\) | −4.71377e10 | + | 3.02936e10i | −0.207257 | + | 0.133196i | ||||
\(335\) | −3.94066e10 | − | 4.54776e10i | −0.170949 | − | 0.197286i | ||||
\(336\) | 2.51469e11 | − | 7.38380e10i | 1.07636 | − | 0.316048i | ||||
\(337\) | −2.74494e10 | + | 1.90915e11i | −0.115931 | + | 0.806317i | 0.846031 | + | 0.533133i | \(0.178986\pi\) |
−0.961962 | + | 0.273183i | \(0.911923\pi\) | |||||||
\(338\) | −1.57883e11 | + | 1.82207e11i | −0.657976 | + | 0.759345i | ||||
\(339\) | 1.21018e11 | − | 2.64993e11i | 0.497683 | − | 1.08977i | ||||
\(340\) | −3.94206e9 | − | 1.15749e9i | −0.0159981 | − | 0.00469746i | ||||
\(341\) | −7.10396e10 | − | 1.55555e11i | −0.284515 | − | 0.623002i | ||||
\(342\) | 5.22609e10 | + | 3.63482e11i | 0.206566 | + | 1.43670i | ||||
\(343\) | −2.31937e11 | − | 1.49057e11i | −0.904788 | − | 0.581472i | ||||
\(344\) | −9.51659e9 | −0.0366411 | ||||||||
\(345\) | −6.02049e10 | + | 8.50984e8i | −0.228794 | + | 0.00323397i | ||||
\(346\) | −2.25095e11 | −0.844352 | ||||||||
\(347\) | −9.69429e10 | − | 6.23014e10i | −0.358949 | − | 0.230683i | 0.348719 | − | 0.937227i | \(-0.386617\pi\) |
−0.707669 | + | 0.706544i | \(0.750253\pi\) | |||||||
\(348\) | 1.69466e10 | + | 1.17866e11i | 0.0619408 | + | 0.430807i | ||||
\(349\) | 1.53600e11 | + | 3.36337e11i | 0.554213 | + | 1.21356i | 0.954786 | + | 0.297293i | \(0.0960838\pi\) |
−0.400573 | + | 0.916265i | \(0.631189\pi\) | |||||||
\(350\) | −2.73018e11 | − | 8.01654e10i | −0.972491 | − | 0.285549i | ||||
\(351\) | −1.11767e10 | + | 2.44735e10i | −0.0393034 | + | 0.0860625i | ||||
\(352\) | 1.17659e11 | − | 1.35786e11i | 0.408492 | − | 0.471425i | ||||
\(353\) | 1.33763e10 | − | 9.30343e10i | 0.0458511 | − | 0.318902i | −0.953968 | − | 0.299907i | \(-0.903044\pi\) |
0.999820 | − | 0.0189947i | \(-0.00604657\pi\) | |||||||
\(354\) | −3.20956e11 | + | 9.42412e10i | −1.08625 | + | 0.318953i | ||||
\(355\) | −1.74838e10 | − | 2.01774e10i | −0.0584263 | − | 0.0674275i | ||||
\(356\) | 7.52837e10 | − | 4.83819e10i | 0.248414 | − | 0.159646i | ||||
\(357\) | −3.08383e10 | + | 1.98185e10i | −0.100481 | + | 0.0645751i | ||||
\(358\) | −1.13354e11 | − | 1.30818e11i | −0.364724 | − | 0.420914i | ||||
\(359\) | 7.15493e10 | − | 2.10088e10i | 0.227343 | − | 0.0667538i | −0.166077 | − | 0.986113i | \(-0.553110\pi\) |
0.393420 | + | 0.919359i | \(0.371292\pi\) | |||||||
\(360\) | 4.38608e8 | − | 3.05058e9i | 0.00137631 | − | 0.00957242i | ||||
\(361\) | 3.10255e10 | − | 3.58054e10i | 0.0961473 | − | 0.110960i | ||||
\(362\) | −6.46207e10 | + | 1.41500e11i | −0.197780 | + | 0.433078i | ||||
\(363\) | 3.70356e11 | + | 1.08746e11i | 1.11954 | + | 0.328726i | ||||
\(364\) | −5.27275e10 | − | 1.15457e11i | −0.157428 | − | 0.344718i | ||||
\(365\) | 1.49360e10 | + | 1.03882e11i | 0.0440469 | + | 0.306353i | ||||
\(366\) | −8.02191e11 | − | 5.15537e11i | −2.33675 | − | 1.50174i | ||||
\(367\) | 1.89520e10 | 0.0545328 | 0.0272664 | − | 0.999628i | \(-0.491320\pi\) | ||||
0.0272664 | + | 0.999628i | \(0.491320\pi\) | |||||||
\(368\) | −3.09867e11 | − | 1.93006e11i | −0.880765 | − | 0.548600i | ||||
\(369\) | −5.04571e11 | −1.41678 | ||||||||
\(370\) | 1.40258e10 | + | 9.01386e9i | 0.0389064 | + | 0.0250036i | ||||
\(371\) | −1.13148e10 | − | 7.86959e10i | −0.0310072 | − | 0.215660i | ||||
\(372\) | 3.29686e11 | + | 7.21911e11i | 0.892600 | + | 1.95452i | ||||
\(373\) | −7.21798e10 | − | 2.11939e10i | −0.193075 | − | 0.0566919i | 0.183766 | − | 0.982970i | \(-0.441171\pi\) |
−0.376840 | + | 0.926278i | \(0.622989\pi\) | |||||||
\(374\) | −1.08491e10 | + | 2.37563e10i | −0.0286730 | + | 0.0627851i | ||||
\(375\) | −1.13349e11 | + | 1.30812e11i | −0.295990 | + | 0.341591i | ||||
\(376\) | −3.31022e9 | + | 2.30231e10i | −0.00854107 | + | 0.0594044i | ||||
\(377\) | −6.21946e10 | + | 1.82620e10i | −0.158568 | + | 0.0465599i | ||||
\(378\) | 4.80861e10 | + | 5.54943e10i | 0.121145 | + | 0.139809i | ||||
\(379\) | 5.34361e11 | − | 3.43413e11i | 1.33033 | − | 0.854950i | 0.334168 | − | 0.942513i | \(-0.391545\pi\) |
0.996159 | + | 0.0875639i | \(0.0279082\pi\) | |||||||
\(380\) | −4.76662e10 | + | 3.06332e10i | −0.117269 | + | 0.0753644i | ||||
\(381\) | −2.23772e11 | − | 2.58246e11i | −0.544055 | − | 0.627872i | ||||
\(382\) | 1.03439e12 | − | 3.03726e11i | 2.48543 | − | 0.729787i | ||||
\(383\) | −9.06400e10 | + | 6.30415e11i | −0.215241 | + | 1.49704i | 0.540043 | + | 0.841638i | \(0.318408\pi\) |
−0.755284 | + | 0.655398i | \(0.772501\pi\) | |||||||
\(384\) | 4.45685e10 | − | 5.14348e10i | 0.104601 | − | 0.120716i | ||||
\(385\) | 9.31340e9 | − | 2.03935e10i | 0.0216041 | − | 0.0473063i | ||||
\(386\) | 5.20205e11 | + | 1.52746e11i | 1.19270 | + | 0.350209i | ||||
\(387\) | −1.37379e11 | − | 3.00819e11i | −0.311331 | − | 0.681720i | ||||
\(388\) | 9.79978e10 | + | 6.81590e11i | 0.219520 | + | 1.52679i | ||||
\(389\) | −3.64305e11 | − | 2.34124e11i | −0.806662 | − | 0.518410i | 0.0711218 | − | 0.997468i | \(-0.477342\pi\) |
−0.877783 | + | 0.479058i | \(0.840978\pi\) | |||||||
\(390\) | −7.78003e10 | −0.170291 | ||||||||
\(391\) | 4.91905e10 | + | 1.36915e10i | 0.106435 | + | 0.0296248i | ||||
\(392\) | −1.15234e10 | −0.0246487 | ||||||||
\(393\) | 1.95473e11 | + | 1.25623e11i | 0.413352 | + | 0.265645i | ||||
\(394\) | 3.09736e10 | + | 2.15426e11i | 0.0647529 | + | 0.450366i | ||||
\(395\) | −4.34640e10 | − | 9.51730e10i | −0.0898345 | − | 0.196710i | ||||
\(396\) | 2.25873e11 | + | 6.63224e10i | 0.461569 | + | 0.135529i | ||||
\(397\) | 1.71908e11 | − | 3.76426e11i | 0.347327 | − | 0.760541i | −0.652669 | − | 0.757644i | \(-0.726351\pi\) |
0.999996 | − | 0.00289707i | \(-0.000922167\pi\) | |||||||
\(398\) | 6.08605e11 | − | 7.02367e11i | 1.21580 | − | 1.40311i | ||||
\(399\) | −7.19475e10 | + | 5.00406e11i | −0.142114 | + | 0.988426i | ||||
\(400\) | −4.97178e11 | + | 1.45985e11i | −0.971051 | + | 0.285126i | ||||
\(401\) | 1.41246e11 | + | 1.63006e11i | 0.272788 | + | 0.314815i | 0.875570 | − | 0.483092i | \(-0.160486\pi\) |
−0.602781 | + | 0.797906i | \(0.705941\pi\) | |||||||
\(402\) | 1.49341e12 | − | 9.59754e11i | 2.85207 | − | 1.83292i | ||||
\(403\) | −3.63432e11 | + | 2.33563e11i | −0.686357 | + | 0.441095i | ||||
\(404\) | 1.46552e11 | + | 1.69130e11i | 0.273701 | + | 0.315868i | ||||
\(405\) | −7.04091e10 | + | 2.06740e10i | −0.130041 | + | 0.0381836i | ||||
\(406\) | −2.51769e10 | + | 1.75109e11i | −0.0459870 | + | 0.319846i | ||||
\(407\) | 3.40084e10 | − | 3.92478e10i | 0.0614344 | − | 0.0708991i | ||||
\(408\) | −2.05321e9 | + | 4.49591e9i | −0.00366828 | + | 0.00803242i | ||||
\(409\) | 3.85947e11 | + | 1.13324e11i | 0.681981 | + | 0.200248i | 0.604332 | − | 0.796733i | \(-0.293440\pi\) |
0.0776497 | + | 0.996981i | \(0.475258\pi\) | |||||||
\(410\) | −6.60020e10 | − | 1.44524e11i | −0.115353 | − | 0.252588i | ||||
\(411\) | 1.61860e11 | + | 1.12576e12i | 0.279802 | + | 1.94607i | ||||
\(412\) | −6.34574e11 | − | 4.07816e11i | −1.08504 | − | 0.697311i | ||||
\(413\) | −2.43515e11 | −0.411862 | ||||||||
\(414\) | 1.20519e11 | − | 9.31506e11i | 0.201629 | − | 1.55842i | ||||
\(415\) | 6.31527e10 | 0.104514 | ||||||||
\(416\) | −3.81840e11 | − | 2.45394e11i | −0.625117 | − | 0.401738i | ||||
\(417\) | 6.12394e10 | + | 4.25929e11i | 0.0991787 | + | 0.689803i | ||||
\(418\) | 1.49623e11 | + | 3.27628e11i | 0.239720 | + | 0.524914i | ||||
\(419\) | 7.08397e11 | + | 2.08004e11i | 1.12283 | + | 0.329693i | 0.789886 | − | 0.613254i | \(-0.210140\pi\) |
0.332944 | + | 0.942947i | \(0.391958\pi\) | |||||||
\(420\) | −4.32223e10 | + | 9.46437e10i | −0.0677776 | + | 0.148412i | ||||
\(421\) | 1.32190e9 | − | 1.52555e9i | 0.00205082 | − | 0.00236678i | −0.754723 | − | 0.656043i | \(-0.772229\pi\) |
0.756774 | + | 0.653677i | \(0.226774\pi\) | |||||||
\(422\) | 8.69554e10 | − | 6.04788e11i | 0.133472 | − | 0.928319i | ||||
\(423\) | −7.75545e11 | + | 2.27721e11i | −1.17781 | + | 0.345836i | ||||
\(424\) | −7.01992e9 | − | 8.10142e9i | −0.0105484 | − | 0.0121735i | ||||
\(425\) | 6.09701e10 | − | 3.91831e10i | 0.0906498 | − | 0.0582571i | ||||
\(426\) | 6.62591e11 | − | 4.25821e11i | 0.974770 | − | 0.626447i | ||||
\(427\) | −4.54592e11 | − | 5.24628e11i | −0.661754 | − | 0.763705i | ||||
\(428\) | 4.79593e11 | − | 1.40821e11i | 0.690838 | − | 0.202848i | ||||
\(429\) | −3.44880e10 | + | 2.39869e11i | −0.0491598 | + | 0.341914i | ||||
\(430\) | 6.81932e10 | − | 7.86992e10i | 0.0961907 | − | 0.111010i | ||||
\(431\) | −1.44379e11 | + | 3.16146e11i | −0.201538 | + | 0.441307i | −0.983233 | − | 0.182354i | \(-0.941628\pi\) |
0.781695 | + | 0.623661i | \(0.214355\pi\) | |||||||
\(432\) | 1.28302e11 | + | 3.76728e10i | 0.177238 | + | 0.0520417i | ||||
\(433\) | −4.09896e11 | − | 8.97548e11i | −0.560375 | − | 1.22705i | −0.951766 | − | 0.306825i | \(-0.900733\pi\) |
0.391391 | − | 0.920224i | \(-0.371994\pi\) | |||||||
\(434\) | 1.67798e11 | + | 1.16706e12i | 0.227030 | + | 1.57903i | ||||
\(435\) | 4.47002e10 | + | 2.87271e10i | 0.0598560 | + | 0.0384671i | ||||
\(436\) | −1.22932e12 | −1.62921 | ||||||||
\(437\) | 5.86958e11 | − | 3.89046e11i | 0.769911 | − | 0.510310i | ||||
\(438\) | −3.09610e12 | −4.01959 | ||||||||
\(439\) | −2.35617e11 | − | 1.51422e11i | −0.302773 | − | 0.194580i | 0.380429 | − | 0.924810i | \(-0.375776\pi\) |
−0.683201 | + | 0.730230i | \(0.739413\pi\) | |||||||
\(440\) | −4.30195e8 | − | 2.99207e9i | −0.000547177 | − | 0.00380570i | ||||
\(441\) | −1.66350e11 | − | 3.64255e11i | −0.209435 | − | 0.458598i | ||||
\(442\) | 6.33042e10 | + | 1.85878e10i | 0.0788919 | + | 0.0231648i | ||||
\(443\) | 6.21488e11 | − | 1.36087e12i | 0.766683 | − | 1.67880i | 0.0328616 | − | 0.999460i | \(-0.489538\pi\) |
0.733822 | − | 0.679342i | \(-0.237735\pi\) | |||||||
\(444\) | −1.57829e11 | + | 1.82144e11i | −0.192736 | + | 0.222429i | ||||
\(445\) | 5.68295e9 | − | 3.95258e10i | 0.00686995 | − | 0.0477816i | ||||
\(446\) | −6.16673e11 | + | 1.81072e11i | −0.737986 | + | 0.216692i | ||||
\(447\) | 1.46222e12 | + | 1.68749e12i | 1.73233 | + | 1.99921i | ||||
\(448\) | −4.89797e11 | + | 3.14774e11i | −0.574467 | + | 0.369188i | ||||
\(449\) | −1.36616e11 | + | 8.77977e10i | −0.158633 | + | 0.101947i | −0.617549 | − | 0.786533i | \(-0.711874\pi\) |
0.458916 | + | 0.888480i | \(0.348238\pi\) | |||||||
\(450\) | −8.73062e11 | − | 1.00757e12i | −1.00367 | − | 1.15829i | ||||
\(451\) | −4.74846e11 | + | 1.39427e11i | −0.540453 | + | 0.158691i | ||||
\(452\) | −9.97912e10 | + | 6.94063e11i | −0.112453 | + | 0.782124i | ||||
\(453\) | −7.47106e11 | + | 8.62206e11i | −0.833566 | + | 0.961987i | ||||
\(454\) | −6.59322e11 | + | 1.44371e12i | −0.728360 | + | 1.59489i | ||||
\(455\) | −5.43433e10 | − | 1.59566e10i | −0.0594422 | − | 0.0174538i | ||||
\(456\) | 2.83163e10 | + | 6.20040e10i | 0.0306686 | + | 0.0671549i | ||||
\(457\) | 5.58212e10 | + | 3.88245e11i | 0.0598655 | + | 0.416373i | 0.997613 | + | 0.0690553i | \(0.0219985\pi\) |
−0.937747 | + | 0.347318i | \(0.887092\pi\) | |||||||
\(458\) | −7.69244e11 | − | 4.94363e11i | −0.816901 | − | 0.524991i | ||||
\(459\) | −1.87030e10 | −0.0196677 | ||||||||
\(460\) | 1.38465e11 | − | 4.27917e10i | 0.144188 | − | 0.0445605i | ||||
\(461\) | 6.26595e11 | 0.646149 | 0.323074 | − | 0.946374i | \(-0.395284\pi\) | ||||
0.323074 | + | 0.946374i | \(0.395284\pi\) | |||||||
\(462\) | 5.56397e11 | + | 3.57575e11i | 0.568193 | + | 0.365156i | ||||
\(463\) | 1.81313e11 | + | 1.26106e12i | 0.183364 | + | 1.27532i | 0.848738 | + | 0.528813i | \(0.177363\pi\) |
−0.665375 | + | 0.746510i | \(0.731728\pi\) | |||||||
\(464\) | 1.33830e11 | + | 2.93047e11i | 0.134037 | + | 0.293499i | ||||
\(465\) | 3.39789e11 | + | 9.97710e10i | 0.337032 | + | 0.0989615i | ||||
\(466\) | −1.10887e11 | + | 2.42809e11i | −0.108929 | + | 0.238521i | ||||
\(467\) | 8.33831e11 | − | 9.62293e11i | 0.811245 | − | 0.936227i | −0.187696 | − | 0.982227i | \(-0.560102\pi\) |
0.998941 | + | 0.0460000i | \(0.0146474\pi\) | |||||||
\(468\) | 8.46353e10 | − | 5.88651e11i | 0.0815540 | − | 0.567220i | ||||
\(469\) | 1.23998e12 | − | 3.64092e11i | 1.18342 | − | 0.347483i | ||||
\(470\) | −1.66674e11 | − | 1.92352e11i | −0.157553 | − | 0.181826i | ||||
\(471\) | −2.68156e11 | + | 1.72333e11i | −0.251069 | + | 0.161352i | ||||
\(472\) | −2.76212e10 | + | 1.77510e10i | −0.0256155 | + | 0.0164621i | ||||
\(473\) | −2.12411e11 | − | 2.45135e11i | −0.195120 | − | 0.225181i | ||||
\(474\) | 2.96157e12 | − | 8.69594e11i | 2.69475 | − | 0.791251i | ||||
\(475\) | 1.42247e11 | − | 9.89348e11i | 0.128210 | − | 0.891719i | ||||
\(476\) | 5.77809e10 | − | 6.66827e10i | 0.0515885 | − | 0.0595363i | ||||
\(477\) | 1.54748e11 | − | 3.38850e11i | 0.136865 | − | 0.299692i | ||||
\(478\) | −2.75311e12 | − | 8.08387e11i | −2.41212 | − | 0.708262i | ||||
\(479\) | −1.75650e11 | − | 3.84620e11i | −0.152454 | − | 0.333827i | 0.817960 | − | 0.575275i | \(-0.195105\pi\) |
−0.970414 | + | 0.241448i | \(0.922378\pi\) | |||||||
\(480\) | 5.29512e10 | + | 3.68284e11i | 0.0455293 | + | 0.316663i | ||||
\(481\) | −1.10368e11 | − | 7.09291e10i | −0.0940134 | − | 0.0604187i | ||||
\(482\) | 2.34006e12 | 1.97476 | ||||||||
\(483\) | 5.20492e11 | − | 1.18371e12i | 0.435163 | − | 0.989655i | ||||
\(484\) | −9.29073e11 | −0.769566 | ||||||||
\(485\) | 2.58489e11 | + | 1.66121e11i | 0.212131 | + | 0.136329i | ||||
\(486\) | −3.51715e11 | − | 2.44623e12i | −0.285975 | − | 1.98900i | ||||
\(487\) | −3.41265e11 | − | 7.47266e11i | −0.274923 | − | 0.601998i | 0.720926 | − | 0.693012i | \(-0.243717\pi\) |
−0.995850 | + | 0.0910137i | \(0.970989\pi\) | |||||||
\(488\) | −8.98056e10 | − | 2.63693e10i | −0.0716827 | − | 0.0210479i | ||||
\(489\) | 7.95320e10 | − | 1.74151e11i | 0.0629002 | − | 0.137732i | ||||
\(490\) | 8.25737e10 | − | 9.52952e10i | 0.0647082 | − | 0.0746773i | ||||
\(491\) | 1.09908e11 | − | 7.64425e11i | 0.0853418 | − | 0.593565i | −0.901610 | − | 0.432550i | \(-0.857614\pi\) |
0.986952 | − | 0.161015i | \(-0.0514769\pi\) | |||||||
\(492\) | 2.20370e12 | − | 6.47065e11i | 1.69555 | − | 0.497857i | ||||
\(493\) | −2.95081e10 | − | 3.40541e10i | −0.0224973 | − | 0.0259632i | ||||
\(494\) | 7.65456e11 | − | 4.91929e11i | 0.578294 | − | 0.371647i | ||||
\(495\) | 8.83690e10 | − | 5.67913e10i | 0.0661571 | − | 0.0425166i | ||||
\(496\) | 1.40607e12 | + | 1.62269e12i | 1.04313 | + | 1.20384i | ||||
\(497\) | 5.50152e11 | − | 1.61539e11i | 0.404463 | − | 0.118761i | ||||
\(498\) | −2.65139e11 | + | 1.84408e12i | −0.193171 | + | 1.34353i | ||||
\(499\) | −1.50924e12 | + | 1.74175e12i | −1.08970 | + | 1.25758i | −0.125583 | + | 0.992083i | \(0.540080\pi\) |
−0.964113 | + | 0.265493i | \(0.914465\pi\) | |||||||
\(500\) | 1.73071e11 | − | 3.78972e11i | 0.123839 | − | 0.271170i | ||||
\(501\) | −3.46792e11 | − | 1.01827e11i | −0.245923 | − | 0.0722094i | ||||
\(502\) | 1.44978e12 | + | 3.17457e12i | 1.01891 | + | 2.23110i | ||||
\(503\) | 2.67147e11 | + | 1.85805e12i | 0.186078 | + | 1.29420i | 0.842044 | + | 0.539408i | \(0.181352\pi\) |
−0.655967 | + | 0.754790i | \(0.727739\pi\) | |||||||
\(504\) | 5.56810e10 | + | 3.57840e10i | 0.0384388 | + | 0.0247031i | ||||
\(505\) | 9.98604e10 | 0.0683254 | ||||||||
\(506\) | −1.43983e11 | − | 9.09933e11i | −0.0976413 | − | 0.617067i | ||||
\(507\) | −1.55515e12 | −1.04529 | ||||||||
\(508\) | 6.91919e11 | + | 4.44669e11i | 0.460966 | + | 0.296245i | ||||
\(509\) | 2.58100e11 | + | 1.79512e12i | 0.170435 | + | 1.18540i | 0.877968 | + | 0.478719i | \(0.158899\pi\) |
−0.707534 | + | 0.706679i | \(0.750192\pi\) | |||||||
\(510\) | −2.24670e10 | − | 4.91958e10i | −0.0147055 | − | 0.0322005i | ||||
\(511\) | −2.16262e12 | − | 6.35001e11i | −1.40309 | − | 0.411984i | ||||
\(512\) | −9.00351e11 | + | 1.97149e12i | −0.579025 | + | 1.26789i | ||||
\(513\) | −1.68913e11 | + | 1.94936e11i | −0.107680 | + | 0.124269i | ||||
\(514\) | −9.28151e10 | + | 6.45543e11i | −0.0586522 | + | 0.407935i | ||||
\(515\) | −3.22958e11 | + | 9.48291e10i | −0.202308 | + | 0.0594031i | ||||
\(516\) | 9.85773e11 | + | 1.13764e12i | 0.612144 | + | 0.706451i | ||||
\(517\) | −6.66931e11 | + | 4.28610e11i | −0.410557 | + | 0.263849i | ||||
\(518\) | −3.01219e11 | + | 1.93582e11i | −0.183823 | + | 0.118136i | ||||
\(519\) | −9.50824e11 | − | 1.09731e12i | −0.575237 | − | 0.663859i | ||||
\(520\) | −7.32714e9 | + | 2.15144e9i | −0.00439460 | + | 0.00129037i | ||||
\(521\) | 4.63649e11 | − | 3.22475e12i | 0.275689 | − | 1.91746i | −0.108295 | − | 0.994119i | \(-0.534539\pi\) |
0.383984 | − | 0.923340i | \(-0.374552\pi\) | |||||||
\(522\) | −5.42809e11 | + | 6.26435e11i | −0.319985 | + | 0.369283i | ||||
\(523\) | 3.03913e11 | − | 6.65476e11i | 0.177620 | − | 0.388933i | −0.799792 | − | 0.600277i | \(-0.795057\pi\) |
0.977412 | + | 0.211344i | \(0.0677842\pi\) | |||||||
\(524\) | −5.36629e11 | − | 1.57569e11i | −0.310945 | − | 0.0913017i | ||||
\(525\) | −7.62460e11 | − | 1.66955e12i | −0.438026 | − | 0.959144i | ||||
\(526\) | 1.32194e11 | + | 9.19433e11i | 0.0752970 | + | 0.523702i | ||||
\(527\) | −2.52641e11 | − | 1.62362e11i | −0.142678 | − | 0.0916934i | ||||
\(528\) | 1.20442e12 | 0.674413 | ||||||||
\(529\) | −1.71316e12 | + | 5.56086e11i | −0.951147 | + | 0.308739i | ||||
\(530\) | 1.17299e11 | 0.0645733 | ||||||||
\(531\) | −9.59842e11 | − | 6.16853e11i | −0.523932 | − | 0.336710i | ||||
\(532\) | −1.73176e11 | − | 1.20447e12i | −0.0937315 | − | 0.651917i | ||||
\(533\) | 5.19363e11 | + | 1.13725e12i | 0.278740 | + | 0.610354i | ||||
\(534\) | 1.13031e12 | + | 3.31889e11i | 0.601536 | + | 0.176627i | ||||
\(535\) | 9.26537e10 | − | 2.02883e11i | 0.0488957 | − | 0.107067i | ||||
\(536\) | 1.14107e11 | − | 1.31686e11i | 0.0597131 | − | 0.0689126i | ||||
\(537\) | 1.58900e11 | − | 1.10517e12i | 0.0824594 | − | 0.573517i | ||||
\(538\) | 9.53405e11 | − | 2.79945e11i | 0.490634 | − | 0.144063i | ||||
\(539\) | −2.57204e11 | − | 2.96829e11i | −0.131259 | − | 0.151481i | ||||
\(540\) | −4.46582e10 | + | 2.87001e10i | −0.0226011 | + | 0.0145248i | ||||
\(541\) | 2.03754e12 | − | 1.30945e12i | 1.02263 | − | 0.657204i | 0.0819979 | − | 0.996633i | \(-0.473870\pi\) |
0.940632 | + | 0.339428i | \(0.110234\pi\) | |||||||
\(542\) | 1.96913e12 | + | 2.27250e12i | 0.980118 | + | 1.13112i | ||||
\(543\) | −9.62756e11 | + | 2.82691e11i | −0.475244 | + | 0.139544i | ||||
\(544\) | 4.49040e10 | − | 3.12315e11i | 0.0219832 | − | 0.152896i | ||||
\(545\) | −3.59223e11 | + | 4.14566e11i | −0.174414 | + | 0.201284i | ||||
\(546\) | 6.94094e11 | − | 1.51985e12i | 0.334234 | − | 0.731871i | ||||
\(547\) | 4.97361e11 | + | 1.46038e11i | 0.237536 | + | 0.0697467i | 0.398334 | − | 0.917241i | \(-0.369589\pi\) |
−0.160798 | + | 0.986987i | \(0.551407\pi\) | |||||||
\(548\) | −1.13722e12 | − | 2.49016e12i | −0.538680 | − | 1.17955i | ||||
\(549\) | −4.62882e11 | − | 3.21941e12i | −0.217468 | − | 1.51252i | ||||
\(550\) | −1.10005e12 | − | 7.06959e11i | −0.512602 | − | 0.329429i | ||||
\(551\) | −6.21433e11 | −0.287218 | ||||||||
\(552\) | −2.72489e10 | − | 1.72206e11i | −0.0124918 | − | 0.0789445i | ||||
\(553\) | 2.24700e12 | 1.02174 | ||||||||
\(554\) | −1.13444e12 | − | 7.29059e11i | −0.511666 | − | 0.328828i | ||||
\(555\) | 1.53051e10 | + | 1.06450e11i | 0.00684729 | + | 0.0476239i | ||||
\(556\) | −4.30264e11 | − | 9.42148e11i | −0.190941 | − | 0.418102i | ||||
\(557\) | 2.03432e12 | + | 5.97330e11i | 0.895511 | + | 0.262946i | 0.696930 | − | 0.717139i | \(-0.254549\pi\) |
0.198580 | + | 0.980085i | \(0.436367\pi\) | |||||||
\(558\) | −2.29491e12 | + | 5.02515e12i | −1.00210 | + | 2.19430i | ||||
\(559\) | −5.36605e11 | + | 6.19276e11i | −0.232435 | + | 0.268245i | ||||
\(560\) | −4.00604e10 | + | 2.78626e11i | −0.0172135 | + | 0.119723i | ||||
\(561\) | −1.61637e11 | + | 4.74608e10i | −0.0688981 | + | 0.0202303i | ||||
\(562\) | −8.16691e11 | − | 9.42512e11i | −0.345338 | − | 0.398541i | ||||
\(563\) | −2.53804e12 | + | 1.63110e12i | −1.06466 | + | 0.684216i | −0.950965 | − | 0.309299i | \(-0.899905\pi\) |
−0.113696 | + | 0.993516i | \(0.536269\pi\) | |||||||
\(564\) | 3.09514e12 | − | 1.98913e12i | 1.28803 | − | 0.827764i | ||||
\(565\) | 2.04899e11 | + | 2.36466e11i | 0.0845906 | + | 0.0976228i | ||||
\(566\) | −2.86663e12 | + | 8.41719e11i | −1.17408 | + | 0.344741i | ||||
\(567\) | 2.24281e11 | − | 1.55991e12i | 0.0911314 | − | 0.633833i | ||||
\(568\) | 5.06266e10 | − | 5.84262e10i | 0.0204085 | − | 0.0235527i | ||||
\(569\) | −6.23983e11 | + | 1.36633e12i | −0.249556 | + | 0.546451i | −0.992406 | − | 0.123007i | \(-0.960746\pi\) |
0.742850 | + | 0.669458i | \(0.233474\pi\) | |||||||
\(570\) | −7.15659e11 | − | 2.10137e11i | −0.283968 | − | 0.0833806i | ||||
\(571\) | −1.90826e12 | − | 4.17851e12i | −0.751235 | − | 1.64498i | −0.764133 | − | 0.645058i | \(-0.776833\pi\) |
0.0128985 | − | 0.999917i | \(-0.495894\pi\) | |||||||
\(572\) | −8.30119e10 | − | 5.77360e11i | −0.0324234 | − | 0.225509i | ||||
\(573\) | 5.85001e12 | + | 3.75957e12i | 2.26705 | + | 1.45694i | ||||
\(574\) | 3.41216e12 | 1.31198 | ||||||||
\(575\) | −1.02906e12 | + | 2.34031e12i | −0.392587 | + | 0.892828i | ||||
\(576\) | −2.72795e12 | −1.03261 | ||||||||
\(577\) | −3.79998e12 | − | 2.44210e12i | −1.42722 | − | 0.917216i | −0.999914 | − | 0.0131077i | \(-0.995828\pi\) |
−0.427302 | − | 0.904109i | \(-0.640536\pi\) | |||||||
\(578\) | −5.28215e11 | − | 3.67381e12i | −0.196850 | − | 1.36912i | ||||
\(579\) | 1.45278e12 | + | 3.18115e12i | 0.537213 | + | 1.17633i | ||||
\(580\) | −1.22715e11 | − | 3.60323e10i | −0.0450268 | − | 0.0132211i | ||||
\(581\) | −5.63415e11 | + | 1.23371e12i | −0.205133 | + | 0.449179i | ||||
\(582\) | −5.93603e12 | + | 6.85055e12i | −2.14458 | + | 2.47498i | ||||
\(583\) | 5.19973e10 | − | 3.61649e11i | 0.0186411 | − | 0.129652i | ||||
\(584\) | −2.91587e11 | + | 8.56176e10i | −0.103731 | + | 0.0304583i | ||||
\(585\) | −1.73780e11 | − | 2.00553e11i | −0.0613477 | − | 0.0707990i | ||||
\(586\) | 5.07309e12 | − | 3.26028e12i | 1.77719 | − | 1.14213i | ||||
\(587\) | −2.86928e12 | + | 1.84398e12i | −0.997474 | + | 0.641038i | −0.934122 | − | 0.356953i | \(-0.883815\pi\) |
−0.0633522 | + | 0.997991i | \(0.520179\pi\) | |||||||
\(588\) | 1.19365e12 | + | 1.37755e12i | 0.411794 | + | 0.475235i | ||||
\(589\) | −3.97394e12 | + | 1.16685e12i | −1.36051 | + | 0.399482i | ||||
\(590\) | 5.11300e10 | − | 3.55617e11i | 0.0173717 | − | 0.120823i | ||||
\(591\) | −9.19340e11 | + | 1.06097e12i | −0.309979 | + | 0.357735i | ||||
\(592\) | −2.70869e11 | + | 5.93120e11i | −0.0906382 | + | 0.198470i | ||||
\(593\) | 4.42472e12 | + | 1.29922e12i | 1.46940 | + | 0.431455i | 0.915904 | − | 0.401397i | \(-0.131475\pi\) |
0.553496 | + | 0.832852i | \(0.313293\pi\) | |||||||
\(594\) | 1.40181e11 | + | 3.06953e11i | 0.0462008 | + | 0.101166i | ||||
\(595\) | −5.60319e9 | − | 3.89710e10i | −0.00183277 | − | 0.0127472i | ||||
\(596\) | −4.52131e12 | − | 2.90567e12i | −1.46776 | − | 0.943274i | ||||
\(597\) | 5.99476e12 | 1.93147 | ||||||||
\(598\) | −2.22356e12 | + | 6.87179e11i | −0.711040 | + | 0.219743i | ||||
\(599\) | 3.71159e12 | 1.17798 | 0.588992 | − | 0.808139i | \(-0.299525\pi\) | ||||
0.588992 | + | 0.808139i | \(0.299525\pi\) | |||||||
\(600\) | −2.08185e11 | − | 1.33793e11i | −0.0655798 | − | 0.0421455i | ||||
\(601\) | −1.06464e11 | − | 7.40471e11i | −0.0332864 | − | 0.231512i | 0.966386 | − | 0.257094i | \(-0.0827651\pi\) |
−0.999673 | + | 0.0255825i | \(0.991856\pi\) | |||||||
\(602\) | 9.29028e11 | + | 2.03429e12i | 0.288300 | + | 0.631289i | ||||
\(603\) | 5.80981e12 | + | 1.70592e12i | 1.78951 | + | 0.525448i | ||||
\(604\) | 1.14074e12 | − | 2.49788e12i | 0.348756 | − | 0.763669i | ||||
\(605\) | −2.71486e11 | + | 3.13312e11i | −0.0823852 | + | 0.0950776i | ||||
\(606\) | −4.19252e11 | + | 2.91596e12i | −0.126284 | + | 0.878325i | ||||
\(607\) | −1.25072e12 | + | 3.67243e11i | −0.373947 | + | 0.109801i | −0.463305 | − | 0.886199i | \(-0.653337\pi\) |
0.0893583 | + | 0.996000i | \(0.471518\pi\) | |||||||
\(608\) | −2.84962e12 | − | 3.28863e12i | −0.845708 | − | 0.975999i | ||||
\(609\) | −9.59983e11 | + | 6.16944e11i | −0.282804 | + | 0.181747i | ||||
\(610\) | 8.61588e11 | − | 5.53709e11i | 0.251951 | − | 0.161919i | ||||
\(611\) | 1.31154e12 | + | 1.51359e12i | 0.380711 | + | 0.439364i | ||||
\(612\) | 3.96665e11 | − | 1.16471e11i | 0.114299 | − | 0.0335612i | ||||
\(613\) | 9.62276e11 | − | 6.69277e12i | 0.275250 | − | 1.91441i | −0.114385 | − | 0.993437i | \(-0.536490\pi\) |
0.389635 | − | 0.920969i | \(-0.372601\pi\) | |||||||
\(614\) | 1.38216e12 | − | 1.59509e12i | 0.392464 | − | 0.452927i | ||||
\(615\) | 4.25738e11 | − | 9.32236e11i | 0.120006 | − | 0.262777i | ||||
\(616\) | 6.22889e10 | + | 1.82897e10i | 0.0174300 | + | 0.00511791i | ||||
\(617\) | 1.68013e11 | + | 3.67898e11i | 0.0466724 | + | 0.102198i | 0.931532 | − | 0.363660i | \(-0.118473\pi\) |
−0.884859 | + | 0.465858i | \(0.845746\pi\) | |||||||
\(618\) | −1.41314e12 | − | 9.82864e12i | −0.389707 | − | 2.71047i | ||||
\(619\) | 5.06965e11 | + | 3.25806e11i | 0.138794 | + | 0.0891973i | 0.608195 | − | 0.793788i | \(-0.291894\pi\) |
−0.469401 | + | 0.882985i | \(0.655530\pi\) | |||||||
\(620\) | −8.52393e11 | −0.231674 | ||||||||
\(621\) | 5.49918e11 | − | 3.64495e11i | 0.148383 | − | 0.0983510i | ||||
\(622\) | 5.07203e12 | 1.35870 | ||||||||
\(623\) | 7.21447e11 | + | 4.63646e11i | 0.191871 | + | 0.123308i | ||||
\(624\) | −4.33019e11 | − | 3.01171e12i | −0.114334 | − | 0.795211i | ||||
\(625\) | 1.46836e12 | + | 3.21526e12i | 0.384921 | + | 0.842860i | ||||
\(626\) | −4.65168e12 | − | 1.36586e12i | −1.21067 | − | 0.355485i | ||||
\(627\) | −9.65123e11 | + | 2.11332e12i | −0.249390 | + | 0.546088i | ||||
\(628\) | 5.02438e11 | − | 5.79844e11i | 0.128903 | − | 0.148762i | ||||
\(629\) | 1.29792e10 | − | 9.02720e10i | 0.00330612 | − | 0.0229946i | ||||
\(630\) | −6.94917e11 | + | 2.04046e11i | −0.175752 | + | 0.0516055i | ||||
\(631\) | 2.23900e11 | + | 2.58395e11i | 0.0562241 | + | 0.0648861i | 0.783165 | − | 0.621814i | \(-0.213604\pi\) |
−0.726941 | + | 0.686700i | \(0.759059\pi\) | |||||||
\(632\) | 2.54869e11 | − | 1.63795e11i | 0.0635464 | − | 0.0408388i | ||||
\(633\) | 3.31557e12 | − | 2.13079e12i | 0.820808 | − | 0.527501i | ||||
\(634\) | 6.51730e12 | + | 7.52136e12i | 1.60201 | + | 1.84882i | ||||
\(635\) | 3.52143e11 | − | 1.03399e11i | 0.0859484 | − | 0.0252367i | ||||
\(636\) | −2.41313e11 | + | 1.67837e12i | −0.0584821 | + | 0.406752i | ||||
\(637\) | −6.49764e11 | + | 7.49868e11i | −0.156361 | + | 0.180450i | ||||
\(638\) | −3.37730e11 | + | 7.39525e11i | −0.0807005 | + | 0.176709i | ||||
\(639\) | 2.57768e12 | + | 7.56876e11i | 0.611611 | + | 0.179585i | ||||
\(640\) | 3.03657e10 | + | 6.64916e10i | 0.00715440 | + | 0.0156659i | ||||
\(641\) | 4.65373e11 | + | 3.23674e12i | 0.108878 | + | 0.757264i | 0.968980 | + | 0.247141i | \(0.0794910\pi\) |
−0.860102 | + | 0.510123i | \(0.829600\pi\) | |||||||
\(642\) | 5.53528e12 | + | 3.55731e12i | 1.28597 | + | 0.826444i | ||||
\(643\) | 1.20295e12 | 0.277523 | 0.138761 | − | 0.990326i | \(-0.455688\pi\) | ||||
0.138761 | + | 0.990326i | \(0.455688\pi\) | |||||||
\(644\) | −3.99361e11 | + | 3.08672e12i | −0.0914912 | + | 0.707148i | ||||
\(645\) | 6.71703e11 | 0.152812 | ||||||||
\(646\) | 5.32109e11 | + | 3.41966e11i | 0.120214 | + | 0.0772568i | ||||
\(647\) | −1.72721e10 | − | 1.20130e11i | −0.00387504 | − | 0.0269515i | 0.987792 | − | 0.155777i | \(-0.0497883\pi\) |
−0.991667 | + | 0.128826i | \(0.958879\pi\) | |||||||
\(648\) | −8.82698e10 | − | 1.93284e11i | −0.0196664 | − | 0.0430634i | ||||
\(649\) | −1.07375e12 | − | 3.15282e11i | −0.237576 | − | 0.0697586i | ||||
\(650\) | −1.37229e12 | + | 3.00489e12i | −0.301533 | + | 0.660265i | ||||
\(651\) | −4.98048e12 | + | 5.74777e12i | −1.08682 | + | 1.25425i | ||||
\(652\) | −6.55816e10 | + | 4.56130e11i | −0.0142124 | + | 0.0988495i | ||||
\(653\) | 5.82979e12 | − | 1.71178e12i | 1.25471 | − | 0.368417i | 0.414188 | − | 0.910191i | \(-0.364066\pi\) |
0.840524 | + | 0.541775i | \(0.182247\pi\) | |||||||
\(654\) | −1.05973e13 | − | 1.22300e13i | −2.26515 | − | 2.61412i | ||||
\(655\) | −2.09947e11 | + | 1.34925e11i | −0.0445680 | + | 0.0286421i | ||||
\(656\) | 5.22729e12 | − | 3.35938e12i | 1.10207 | − | 0.708258i | ||||
\(657\) | −6.91565e12 | − | 7.98109e12i | −1.44807 | − | 1.67116i | ||||
\(658\) | 5.24462e12 | − | 1.53996e12i | 1.09068 | − | 0.320253i | ||||
\(659\) | −8.69060e11 | + | 6.04444e12i | −0.179500 | + | 1.24845i | 0.678422 | + | 0.734673i | \(0.262664\pi\) |
−0.857922 | + | 0.513780i | \(0.828245\pi\) | |||||||
\(660\) | −3.13120e11 | + | 3.61359e11i | −0.0642336 | + | 0.0741296i | ||||
\(661\) | −2.23157e12 | + | 4.88646e12i | −0.454679 | + | 0.995608i | 0.533990 | + | 0.845491i | \(0.320692\pi\) |
−0.988668 | + | 0.150117i | \(0.952035\pi\) | |||||||
\(662\) | −9.52137e12 | − | 2.79573e12i | −1.92681 | − | 0.565762i | ||||
\(663\) | 1.76790e11 | + | 3.87117e11i | 0.0355343 | + | 0.0778092i | ||||
\(664\) | 2.60247e10 | + | 1.81005e11i | 0.00519552 | + | 0.0361356i | ||||
\(665\) | −4.56787e11 | − | 2.93559e11i | −0.0905767 | − | 0.0582101i | ||||
\(666\) | −1.67765e12 | −0.330422 | ||||||||
\(667\) | 1.53128e12 | + | 4.26212e11i | 0.299564 | + | 0.0833795i | ||||
\(668\) | 8.69960e11 | 0.169046 | ||||||||
\(669\) | −3.48759e12 | − | 2.24134e12i | −0.673143 | − | 0.432603i | ||||
\(670\) | 2.71346e11 | + | 1.88725e12i | 0.0520220 | + | 0.361821i | ||||
\(671\) | −1.32523e12 | − | 2.90185e12i | −0.252371 | − | 0.552615i | ||||
\(672\) | −7.66694e12 | − | 2.25122e12i | −1.45031 | − | 0.425849i | ||||
\(673\) | 1.18245e12 | − | 2.58920e12i | 0.222185 | − | 0.486517i | −0.765410 | − | 0.643544i | \(-0.777464\pi\) |
0.987594 | + | 0.157027i | \(0.0501908\pi\) | |||||||
\(674\) | 4.00208e12 | − | 4.61865e12i | 0.746993 | − | 0.862076i | ||||
\(675\) | 1.33270e11 | − | 9.26915e11i | 0.0247096 | − | 0.171859i | ||||
\(676\) | 3.59158e12 | − | 1.05458e12i | 0.661494 | − | 0.194232i | ||||
\(677\) | −2.01025e12 | − | 2.31996e12i | −0.367792 | − | 0.424454i | 0.541443 | − | 0.840737i | \(-0.317878\pi\) |
−0.909235 | + | 0.416283i | \(0.863333\pi\) | |||||||
\(678\) | −7.76515e12 | + | 4.99036e12i | −1.41129 | + | 0.906981i | ||||
\(679\) | −5.55133e12 | + | 3.56762e12i | −1.00227 | + | 0.644117i | ||||
\(680\) | −3.47634e9 | − | 4.01191e9i | −0.000623494 | − | 0.000719550i | ||||
\(681\) | −9.82296e12 | + | 2.88428e12i | −1.75017 | + | 0.513896i | ||||
\(682\) | −7.71120e11 | + | 5.36326e12i | −0.136487 | + | 0.949290i | ||||
\(683\) | −1.07263e12 | + | 1.23789e12i | −0.188607 | + | 0.217664i | −0.842176 | − | 0.539203i | \(-0.818726\pi\) |
0.653569 | + | 0.756867i | \(0.273271\pi\) | |||||||
\(684\) | 2.36846e12 | − | 5.18621e12i | 0.413727 | − | 0.905936i | ||||
\(685\) | −1.17207e12 | − | 3.44150e11i | −0.203397 | − | 0.0597228i | ||||
\(686\) | 3.62893e12 | + | 7.94626e12i | 0.625634 | + | 1.36995i | ||||
\(687\) | −8.39407e11 | − | 5.83821e12i | −0.143770 | − | 0.999940i | ||||
\(688\) | 3.42605e12 | + | 2.20179e12i | 0.582970 | + | 0.374652i | ||||
\(689\) | −9.23014e11 | −0.156035 | ||||||||
\(690\) | 1.61934e12 | + | 1.00864e12i | 0.271968 | + | 0.169400i | ||||
\(691\) | −1.99798e12 | −0.333381 | −0.166690 | − | 0.986009i | \(-0.553308\pi\) | ||||
−0.166690 | + | 0.986009i | \(0.553308\pi\) | |||||||
\(692\) | 2.94002e12 | + | 1.88944e12i | 0.487386 | + | 0.313224i | ||||
\(693\) | 3.21053e11 | + | 2.23298e12i | 0.0528783 | + | 0.367777i | ||||
\(694\) | 1.51679e12 | + | 3.32130e12i | 0.248203 | + | 0.543489i | ||||
\(695\) | −4.43450e11 | − | 1.30209e11i | −0.0720963 | − | 0.0211694i | ||||
\(696\) | −6.39157e10 | + | 1.39956e11i | −0.0103244 | + | 0.0226073i | ||||
\(697\) | −5.69139e11 | + | 6.56822e11i | −0.0913421 | + | 0.105414i | ||||
\(698\) | 1.66730e12 | − | 1.15963e13i | 0.265867 | − | 1.84914i | ||||
\(699\) | −1.65206e12 | + | 4.85088e11i | −0.261745 | + | 0.0768552i | ||||
\(700\) | 2.89305e12 | + | 3.33876e12i | 0.455423 | + | 0.525587i | ||||
\(701\) | −6.97372e12 | + | 4.48174e12i | −1.09077 | + | 0.700996i | −0.957021 | − | 0.290019i | \(-0.906338\pi\) |
−0.133750 | + | 0.991015i | \(0.542702\pi\) | |||||||
\(702\) | 7.17151e11 | − | 4.60885e11i | 0.111454 | − | 0.0716268i | ||||
\(703\) | −8.23659e11 | − | 9.50553e11i | −0.127189 | − | 0.146784i | ||||
\(704\) | −2.56724e12 | + | 7.53810e11i | −0.393903 | + | 0.115660i | ||||
\(705\) | 2.33643e11 | − | 1.62502e12i | 0.0356207 | − | 0.247747i | ||||
\(706\) | −1.95024e12 | + | 2.25070e12i | −0.295439 | + | 0.340955i | ||||
\(707\) | −8.90902e11 | + | 1.95080e12i | −0.134104 | + | 0.293647i | ||||
\(708\) | 4.98314e12 | + | 1.46318e12i | 0.745339 | + | 0.218851i | ||||
\(709\) | −1.05171e12 | − | 2.30293e12i | −0.156311 | − | 0.342273i | 0.815233 | − | 0.579133i | \(-0.196609\pi\) |
−0.971544 | + | 0.236860i | \(0.923882\pi\) | |||||||
\(710\) | 1.20390e11 | + | 8.37331e11i | 0.0177798 | + | 0.123662i | ||||
\(711\) | 8.85677e12 | + | 5.69190e12i | 1.29976 | + | 0.835304i | ||||
\(712\) | 1.15629e11 | 0.0168619 | ||||||||
\(713\) | 1.05925e13 | − | 1.49723e11i | 1.53496 | − | 0.0216964i | ||||
\(714\) | 1.16149e12 | 0.167253 | ||||||||
\(715\) | −2.18961e11 | − | 1.40718e11i | −0.0313321 | − | 0.0201359i | ||||
\(716\) | 3.82469e11 | + | 2.66013e12i | 0.0543861 | + | 0.378264i | ||||
\(717\) | −7.68864e12 | − | 1.68358e13i | −1.08646 | − | 2.37901i | ||||
\(718\) | −2.26704e12 | − | 6.65663e11i | −0.318346 | − | 0.0934748i | ||||
\(719\) | 4.84808e12 | − | 1.06158e13i | 0.676535 | − | 1.48140i | −0.189739 | − | 0.981835i | \(-0.560764\pi\) |
0.866274 | − | 0.499570i | \(-0.166509\pi\) | |||||||
\(720\) | −8.63695e11 | + | 9.96758e11i | −0.119774 | + | 0.138227i | ||||
\(721\) | 1.02875e12 | − | 7.15510e12i | 0.141775 | − | 0.986069i | ||||
\(722\) | −1.44034e12 | + | 4.22923e11i | −0.197264 | + | 0.0579220i | ||||
\(723\) | 9.88464e12 | + | 1.14075e13i | 1.34536 | + | 1.55263i | ||||
\(724\) | 2.03177e12 | − | 1.30574e12i | 0.274821 | − | 0.176617i | ||||
\(725\) | 1.89798e12 | − | 1.21976e12i | 0.255135 | − | 0.163965i | ||||
\(726\) | −8.00903e12 | − | 9.24291e12i | −1.06995 | − | 1.23479i | ||||
\(727\) | −3.25534e12 | + | 9.55855e11i | −0.432207 | + | 0.126908i | −0.490597 | − | 0.871386i | \(-0.663221\pi\) |
0.0583902 | + | 0.998294i | \(0.481403\pi\) | |||||||
\(728\) | 2.33398e10 | − | 1.62332e11i | 0.00307968 | − | 0.0214197i | ||||
\(729\) | 6.13048e12 | − | 7.07496e12i | 0.803935 | − | 0.927790i | ||||
\(730\) | 1.38140e12 | − | 3.02484e12i | 0.180039 | − | 0.394230i | ||||
\(731\) | −5.46548e11 | − | 1.60481e11i | −0.0707946 | − | 0.0207872i | ||||
\(732\) | 6.15022e12 | + | 1.34671e13i | 0.791755 | + | 1.73370i | ||||
\(733\) | 7.11386e11 | + | 4.94780e12i | 0.0910202 | + | 0.633059i | 0.983356 | + | 0.181688i | \(0.0581560\pi\) |
−0.892336 | + | 0.451372i | \(0.850935\pi\) | |||||||
\(734\) | −5.05168e11 | − | 3.24652e11i | −0.0642397 | − | 0.0412844i | ||||
\(735\) | 8.13351e11 | 0.102798 | ||||||||
\(736\) | 4.76627e12 | + | 1.00580e13i | 0.598726 | + | 1.26346i | ||||
\(737\) | 5.93894e12 | 0.741490 | ||||||||
\(738\) | 1.34494e13 | + | 8.64340e12i | 1.66897 | + | 1.07258i | ||||
\(739\) | −1.62408e11 | − | 1.12957e12i | −0.0200312 | − | 0.139320i | 0.977352 | − | 0.211622i | \(-0.0678746\pi\) |
−0.997383 | + | 0.0723018i | \(0.976966\pi\) | |||||||
\(740\) | −1.07533e11 | − | 2.35464e11i | −0.0131825 | − | 0.0288657i | ||||
\(741\) | 5.63145e12 | + | 1.65354e12i | 0.686180 | + | 0.201481i | ||||
\(742\) | −1.04648e12 | + | 2.29147e12i | −0.126740 | + | 0.277522i | ||||
\(743\) | 8.51894e12 | − | 9.83138e12i | 1.02550 | − | 1.18349i | 0.0426495 | − | 0.999090i | \(-0.486420\pi\) |
0.982851 | − | 0.184401i | \(-0.0590344\pi\) | |||||||
\(744\) | −1.45935e11 | + | 1.01500e12i | −0.0174615 | + | 0.121448i | ||||
\(745\) | −2.30106e12 | + | 6.75653e11i | −0.273669 | + | 0.0803564i | ||||
\(746\) | 1.56090e12 | + | 1.80138e12i | 0.184523 | + | 0.212951i | ||||
\(747\) | −5.34589e12 | + | 3.43559e12i | −0.628170 | + | 0.403700i | ||||
\(748\) | 3.41112e11 | − | 2.19220e11i | 0.0398419 | − | 0.0256049i | ||||
\(749\) | 3.13678e12 | + | 3.62004e12i | 0.364180 | + | 0.420286i | ||||
\(750\) | 5.26217e12 | − | 1.54511e12i | 0.607280 | − | 0.178313i | ||||
\(751\) | 1.46300e12 | − | 1.01754e13i | 0.167828 | − | 1.16727i | −0.715535 | − | 0.698577i | \(-0.753817\pi\) |
0.883362 | − | 0.468691i | \(-0.155274\pi\) | |||||||
\(752\) | 6.51841e12 | − | 7.52265e12i | 0.743295 | − | 0.857809i | ||||
\(753\) | −9.35161e12 | + | 2.04772e13i | −1.06001 | + | 2.32109i | ||||
\(754\) | 1.97064e12 | + | 5.78631e11i | 0.222042 | + | 0.0651975i | ||||
\(755\) | −5.09023e11 | − | 1.11460e12i | −0.0570133 | − | 0.124842i | ||||
\(756\) | −1.62248e11 | − | 1.12846e12i | −0.0180647 | − | 0.125643i | ||||
\(757\) | −1.17144e12 | − | 7.52838e11i | −0.129655 | − | 0.0833240i | 0.474206 | − | 0.880414i | \(-0.342735\pi\) |
−0.603860 | + | 0.797090i | \(0.706372\pi\) | |||||||
\(758\) | −2.01262e13 | −2.21437 | ||||||||
\(759\) | 3.82761e12 | − | 4.54554e12i | 0.418639 | − | 0.497162i | ||||
\(760\) | −7.32109e10 | −0.00796003 | ||||||||
\(761\) | −1.08326e13 | − | 6.96169e12i | −1.17085 | − | 0.752460i | −0.197169 | − | 0.980370i | \(-0.563175\pi\) |
−0.973682 | + | 0.227909i | \(0.926811\pi\) | |||||||
\(762\) | 1.54085e12 | + | 1.07168e13i | 0.165563 | + | 1.15151i | ||||
\(763\) | −4.89387e12 | − | 1.07161e13i | −0.522747 | − | 1.14466i | ||||
\(764\) | −1.60599e13 | − | 4.71562e12i | −1.70539 | − | 0.500748i | ||||
\(765\) | 7.66326e10 | − | 1.67802e11i | 0.00808979 | − | 0.0177142i | ||||
\(766\) | 1.32152e13 | − | 1.52511e13i | 1.38689 | − | 1.60056i | ||||
\(767\) | −4.02337e11 | + | 2.79831e12i | −0.0419769 | + | 0.291956i | ||||
\(768\) | −1.44692e13 | + | 4.24853e12i | −1.50078 | + | 0.440669i | ||||
\(769\) | −2.01880e12 | − | 2.32982e12i | −0.208173 | − | 0.240245i | 0.642055 | − | 0.766658i | \(-0.278082\pi\) |
−0.850229 | + | 0.526413i | \(0.823536\pi\) | |||||||
\(770\) | −5.97595e11 | + | 3.84051e11i | −0.0612630 | + | 0.0393714i | ||||
\(771\) | −3.53900e12 | + | 2.27438e12i | −0.360691 | + | 0.231802i | ||||
\(772\) | −5.51238e12 | − | 6.36163e12i | −0.558549 | − | 0.644600i | ||||
\(773\) | 9.68326e12 | − | 2.84326e12i | 0.975470 | − | 0.286424i | 0.245117 | − | 0.969494i | \(-0.421174\pi\) |
0.730353 | + | 0.683070i | \(0.239356\pi\) | |||||||
\(774\) | −1.49123e12 | + | 1.03717e13i | −0.149351 | + | 1.03876i | ||||
\(775\) | 9.84686e12 | − | 1.13639e13i | 0.980483 | − | 1.13154i | ||||
\(776\) | −3.69607e11 | + | 8.09327e11i | −0.0365900 | + | 0.0801210i | ||||
\(777\) | −2.21607e12 | − | 6.50696e11i | −0.218116 | − | 0.0640448i | ||||
\(778\) | 5.69998e12 | + | 1.24812e13i | 0.557783 | + | 1.22137i | ||||
\(779\) | 1.70578e12 | + | 1.18639e13i | 0.165960 | + | 1.15428i | ||||
\(780\) | 1.01617e12 | + | 6.53052e11i | 0.0982970 | + | 0.0631717i | ||||
\(781\) | 2.63497e12 | 0.253423 | ||||||||
\(782\) | −1.07664e12 | − | 1.20759e12i | −0.102953 | − | 0.115476i | ||||
\(783\) | −5.82217e11 | −0.0553550 | ||||||||
\(784\) | 4.14853e12 | + | 2.66610e12i | 0.392168 | + | 0.252031i | ||||
\(785\) | −4.87229e10 | − | 3.38875e11i | −0.00457951 | − | 0.0318512i | ||||
\(786\) | −3.05841e12 | − | 6.69699e12i | −0.285821 | − | 0.625861i | ||||
\(787\) | −4.28176e12 | − | 1.25724e12i | −0.397866 | − | 0.116824i | 0.0766779 | − | 0.997056i | \(-0.475569\pi\) |
−0.474544 | + | 0.880232i | \(0.657387\pi\) | |||||||
\(788\) | 1.40372e12 | − | 3.07373e12i | 0.129692 | − | 0.283986i | ||||
\(789\) | −3.92371e12 | + | 4.52821e12i | −0.360455 | + | 0.415987i | ||||
\(790\) | −4.71793e11 | + | 3.28139e12i | −0.0430953 | + | 0.299734i | ||||
\(791\) | −6.44744e12 | + | 1.89314e12i | −0.585590 | + | 0.171945i | ||||
\(792\) | 1.99189e11 | + | 2.29876e11i | 0.0179888 | + | 0.0207601i | ||||
\(793\) | −6.77974e12 | + | 4.35708e12i | −0.608813 | + | 0.391260i | ||||
\(794\) | −1.10305e13 | + | 7.08886e12i | −0.984923 | + | 0.632972i | ||||
\(795\) | 4.95483e11 | + | 5.71817e11i | 0.0439923 | + | 0.0507698i | ||||
\(796\) | −1.38448e13 | + | 4.06519e12i | −1.22230 | + | 0.358899i | ||||
\(797\) | −1.44844e12 | + | 1.00741e13i | −0.127156 | + | 0.884392i | 0.821978 | + | 0.569520i | \(0.192871\pi\) |
−0.949134 | + | 0.314873i | \(0.898038\pi\) | |||||||
\(798\) | 1.04898e13 | − | 1.21059e13i | 0.915704 | − | 1.05678i | ||||
\(799\) | −5.78355e11 | + | 1.26642e12i | −0.0502035 | + | 0.109930i | ||||
\(800\) | 1.51583e13 | + | 4.45087e12i | 1.30841 | + | 0.384184i | ||||
\(801\) | 1.66919e12 | + | 3.65502e12i | 0.143272 | + | 0.313721i | ||||
\(802\) | −9.72592e11 | − | 6.76452e12i | −0.0830130 | − | 0.577368i | ||||
\(803\) | −8.71364e12 | − | 5.59992e12i | −0.739571 | − | 0.475293i | ||||
\(804\) | −2.75619e13 | −2.32625 | ||||||||
\(805\) | 9.24238e11 | + | 1.03665e12i | 0.0775716 | + | 0.0870066i | ||||
\(806\) | 1.36883e13 | 1.14246 | ||||||||
\(807\) | 5.39198e12 | + | 3.46521e12i | 0.447525 | + | 0.287607i | ||||
\(808\) | 4.11516e10 | + | 2.86215e11i | 0.00339653 | + | 0.0236234i | ||||
\(809\) | 4.75372e12 | + | 1.04092e13i | 0.390180 | + | 0.854375i | 0.998172 | + | 0.0604323i | \(0.0192479\pi\) |
−0.607992 | + | 0.793943i | \(0.708025\pi\) | |||||||
\(810\) | 2.23091e12 | + | 6.55055e11i | 0.182096 | + | 0.0534682i | ||||
\(811\) | 6.45664e12 | − | 1.41381e13i | 0.524098 | − | 1.14762i | −0.443766 | − | 0.896143i | \(-0.646358\pi\) |
0.967864 | − | 0.251473i | \(-0.0809149\pi\) | |||||||
\(812\) | 1.79870e12 | − | 2.07581e12i | 0.145196 | − | 0.167566i | ||||
\(813\) | −2.76033e12 | + | 1.91985e13i | −0.221592 | + | 1.54121i | ||||
\(814\) | −1.57882e12 | + | 4.63584e11i | −0.126044 | + | 0.0370100i | ||||
\(815\) | 1.34657e11 | + | 1.55403e11i | 0.0106911 | + | 0.0123382i | ||||
\(816\) | 1.77936e12 | − | 1.14353e12i | 0.140494 | − | 0.0902901i | ||||
\(817\) | −6.60870e12 | + | 4.24715e12i | −0.518940 | + | 0.333502i | ||||
\(818\) | −8.34619e12 | − | 9.63201e12i | −0.651776 | − | 0.752189i | ||||
\(819\) | 5.46823e12 | − | 1.60562e12i | 0.424687 | − | 0.124699i | ||||
\(820\) | −3.51061e11 | + | 2.44168e12i | −0.0271157 | + | 0.188594i | ||||
\(821\) | 4.64956e11 | − | 5.36588e11i | 0.0357164 | − | 0.0412189i | −0.737610 | − | 0.675227i | \(-0.764046\pi\) |
0.773327 | + | 0.634008i | \(0.218591\pi\) | |||||||
\(822\) | 1.49701e13 | − | 3.27800e13i | 1.14367 | − | 2.50429i | ||||
\(823\) | −1.23852e13 | − | 3.63662e12i | −0.941030 | − | 0.276311i | −0.224982 | − | 0.974363i | \(-0.572232\pi\) |
−0.716048 | + | 0.698051i | \(0.754051\pi\) | |||||||
\(824\) | −4.04883e11 | − | 8.86570e11i | −0.0305955 | − | 0.0669948i | ||||
\(825\) | −1.20038e12 | − | 8.34886e12i | −0.0902148 | − | 0.627458i | ||||
\(826\) | 6.49093e12 | + | 4.17147e12i | 0.485173 | + | 0.311802i | ||||
\(827\) | −1.05305e13 | −0.782840 | −0.391420 | − | 0.920212i | \(-0.628016\pi\) | ||||
−0.391420 | + | 0.920212i | \(0.628016\pi\) | |||||||
\(828\) | −9.39314e12 | + | 1.11550e13i | −0.694504 | + | 0.824771i | ||||
\(829\) | 1.80239e13 | 1.32542 | 0.662711 | − | 0.748876i | \(-0.269406\pi\) | ||||
0.662711 | + | 0.748876i | \(0.269406\pi\) | |||||||
\(830\) | −1.68334e12 | − | 1.08182e12i | −0.123118 | − | 0.0791231i | ||||
\(831\) | −1.23791e12 | − | 8.60986e12i | −0.0900502 | − | 0.626313i | ||||
\(832\) | 2.80792e12 | + | 6.14849e12i | 0.203156 | + | 0.444850i | ||||
\(833\) | −6.61804e11 | − | 1.94323e11i | −0.0476241 | − | 0.0139837i | ||||
\(834\) | 5.66391e12 | − | 1.24022e13i | 0.405387 | − | 0.887673i | ||||
\(835\) | 2.54213e11 | − | 2.93377e11i | 0.0180971 | − | 0.0208851i | ||||
\(836\) | 7.95835e11 | − | 5.53516e12i | 0.0563501 | − | 0.391924i | ||||
\(837\) | −3.72316e12 | + | 1.09322e12i | −0.262209 | + | 0.0769914i | ||||
\(838\) | −1.53193e13 | − | 1.76794e13i | −1.07310 | − | 1.23842i | ||||
\(839\) | 1.47035e13 | − | 9.44935e12i | 1.02445 | − | 0.658375i | 0.0833568 | − | 0.996520i | \(-0.473436\pi\) |
0.941094 | + | 0.338145i | \(0.109800\pi\) | |||||||
\(840\) | −1.13095e11 | + | 7.26821e10i | −0.00783770 | + | 0.00503698i | ||||
\(841\) | 8.58159e12 | + | 9.90368e12i | 0.591542 | + | 0.682676i | ||||
\(842\) | −6.13683e10 | + | 1.80194e10i | −0.00420765 | + | 0.00123548i | ||||
\(843\) | 1.14484e12 | − | 7.96253e12i | 0.0780765 | − | 0.543034i | ||||
\(844\) | −6.21231e12 | + | 7.16938e12i | −0.421417 | + | 0.486341i | ||||
\(845\) | 6.93866e11 | − | 1.51935e12i | 0.0468188 | − | 0.102519i | ||||
\(846\) | 2.45731e13 | + | 7.21532e12i | 1.64928 | + | 0.484272i | ||||
\(847\) | −3.69859e12 | − | 8.09877e12i | −0.246922 | − | 0.540685i | ||||
\(848\) | 6.52859e11 | + | 4.54073e12i | 0.0433549 | + | 0.301540i | ||||
\(849\) | −1.62122e13 | − | 1.04190e13i | −1.07092 | − | 0.688240i | ||||
\(850\) | −2.29638e12 | −0.150889 | ||||||||
\(851\) | 1.37765e12 | + | 2.90718e12i | 0.0900443 | + | 0.190016i | ||||
\(852\) | −1.22286e13 | −0.795056 | ||||||||
\(853\) | 2.34890e12 | + | 1.50955e12i | 0.151913 | + | 0.0976284i | 0.614389 | − | 0.789003i | \(-0.289403\pi\) |
−0.462476 | + | 0.886632i | \(0.653039\pi\) | |||||||
\(854\) | 3.13024e12 | + | 2.17713e13i | 0.201380 | + | 1.40063i | ||||
\(855\) | −1.05686e12 | − | 2.31419e12i | −0.0676345 | − | 0.148099i | ||||
\(856\) | 6.19677e11 | + | 1.81954e11i | 0.0394488 | + | 0.0115832i | ||||
\(857\) | 3.09388e12 | − | 6.77466e12i | 0.195925 | − | 0.429016i | −0.786015 | − | 0.618207i | \(-0.787859\pi\) |
0.981940 | + | 0.189191i | \(0.0605866\pi\) | |||||||
\(858\) | 5.02829e12 | − | 5.80295e12i | 0.316758 | − | 0.365558i | ||||
\(859\) | −4.32132e12 | + | 3.00555e13i | −0.270799 | + | 1.88345i | 0.169395 | + | 0.985548i | \(0.445819\pi\) |
−0.440194 | + | 0.897902i | \(0.645090\pi\) | |||||||
\(860\) | −1.55129e12 | + | 4.55499e11i | −0.0967050 | + | 0.0283951i | ||||
\(861\) | 1.44133e13 | + | 1.66338e13i | 0.893818 | + | 1.03152i | ||||
\(862\) | 9.26409e12 | − | 5.95367e12i | 0.571505 | − | 0.367284i | ||||
\(863\) | −2.01639e13 | + | 1.29586e13i | −1.23745 | + | 0.795260i | −0.985034 | − | 0.172360i | \(-0.944861\pi\) |
−0.252414 | + | 0.967619i | \(0.581225\pi\) | |||||||
\(864\) | −2.66979e12 | − | 3.08110e12i | −0.162992 | − | 0.188102i | ||||
\(865\) | 1.49629e12 | − | 4.39350e11i | 0.0908746 | − | 0.0266832i | ||||
\(866\) | −4.44934e12 | + | 3.09458e13i | −0.268822 | + | 1.86970i | ||||
\(867\) | 1.56781e13 | − | 1.80935e13i | 0.942342 | − | 1.08752i | ||||
\(868\) | 7.60460e12 | − | 1.66518e13i | 0.454713 | − | 0.995684i | ||||
\(869\) | 9.90785e12 | + | 2.90921e12i | 0.589373 | + | 0.173056i | ||||
\(870\) | −6.99388e11 | − | 1.53145e12i | −0.0413887 | − | 0.0906286i | ||||
\(871\) | −2.13519e12 | − | 1.48506e13i | −0.125706 | − | 0.874303i | ||||
\(872\) | −1.33624e12 | − | 8.58751e11i | −0.0782638 | − | 0.0502971i | ||||
\(873\) | −3.09184e13 | −1.80158 | ||||||||
\(874\) | −2.23099e13 | + | 3.15346e11i | −1.29329 | + | 0.0182804i | ||||
\(875\) | 3.99250e12 | 0.230255 | ||||||||
\(876\) | 4.04389e13 | + | 2.59885e13i | 2.32023 | + | 1.49112i | ||||
\(877\) | −1.09859e12 | − | 7.64083e12i | −0.0627098 | − | 0.436157i | −0.996854 | − | 0.0792605i | \(-0.974744\pi\) |
0.934144 | − | 0.356896i | \(-0.116165\pi\) | |||||||
\(878\) | 3.68652e12 | + | 8.07234e12i | 0.209359 | + | 0.458431i | ||||
\(879\) | 3.73227e13 | + | 1.09589e13i | 2.10874 | + | 0.619181i | ||||
\(880\) | −5.37381e11 | + | 1.17670e12i | −0.0302072 | + | 0.0661446i | ||||
\(881\) | −4.90556e12 | + | 5.66132e12i | −0.274345 | + | 0.316611i | −0.876156 | − | 0.482027i | \(-0.839901\pi\) |
0.601811 | + | 0.798639i | \(0.294446\pi\) | |||||||
\(882\) | −1.80569e12 | + | 1.25589e13i | −0.100470 | + | 0.698783i | ||||
\(883\) | −6.41844e12 | + | 1.88462e12i | −0.355309 | + | 0.104328i | −0.454516 | − | 0.890739i | \(-0.650188\pi\) |
0.0992066 | + | 0.995067i | \(0.468370\pi\) | |||||||
\(884\) | −6.70807e11 | − | 7.74152e11i | −0.0369456 | − | 0.0426375i | ||||
\(885\) | 1.94957e12 | − | 1.25291e12i | 0.106830 | − | 0.0686555i | ||||
\(886\) | −3.98778e13 | + | 2.56279e13i | −2.17410 | + | 1.39721i | ||||
\(887\) | −1.25682e13 | − | 1.45045e13i | −0.681738 | − | 0.786768i | 0.304427 | − | 0.952536i | \(-0.401535\pi\) |
−0.986165 | + | 0.165768i | \(0.946990\pi\) | |||||||
\(888\) | −2.98794e11 | + | 8.77338e10i | −0.0161255 | + | 0.00473487i | ||||
\(889\) | −1.12171e12 | + | 7.80170e12i | −0.0602316 | + | 0.418920i | ||||
\(890\) | −8.28564e11 | + | 9.56214e11i | −0.0442661 | + | 0.0510858i | ||||
\(891\) | 3.00856e12 | − | 6.58783e12i | 0.159922 | − | 0.350181i | ||||
\(892\) | 9.57442e12 | + | 2.81130e12i | 0.506373 | + | 0.148685i | ||||
\(893\) | 7.97622e12 | + | 1.74655e13i | 0.419726 | + | 0.919071i | ||||
\(894\) | −1.00686e13 | − | 7.00285e13i | −0.527169 | − | 3.66654i | ||||
\(895\) | 1.00884e12 | + | 6.48343e11i | 0.0525556 | + | 0.0337755i | ||||
\(896\) | −1.56984e12 | −0.0813709 | ||||||||
\(897\) | −1.27425e13 | − | 7.93687e12i | −0.657184 | − | 0.409339i | ||||
\(898\) | 5.14551e12 | 0.264049 | ||||||||
\(899\) | −7.86462e12 | − | 5.05428e12i | −0.401568 | − | 0.258072i | ||||
\(900\) | 2.94581e12 | + | 2.04885e13i | 0.149662 | + | 1.04093i | ||||
\(901\) | −2.66545e11 | − | 5.83653e11i | −0.0134744 | − | 0.0295048i | ||||
\(902\) | 1.50455e13 | + | 4.41776e12i | 0.756793 | + | 0.222214i | ||||
\(903\) | −5.99258e12 | + | 1.31219e13i | −0.299929 | + | 0.656754i | ||||
\(904\) | −5.93312e11 | + | 6.84719e11i | −0.0295478 | + | 0.0341000i | ||||
\(905\) | 1.53372e11 | − | 1.06673e12i | 0.00760025 | − | 0.0528609i | ||||
\(906\) | 3.46840e13 | − | 1.01841e13i | 1.71022 | − | 0.502166i | ||||
\(907\) | 1.47248e13 | + | 1.69933e13i | 0.722463 | + | 0.833767i | 0.991601 | − | 0.129335i | \(-0.0412842\pi\) |
−0.269138 | + | 0.963102i | \(0.586739\pi\) | |||||||
\(908\) | 2.07300e13 | − | 1.33224e13i | 1.01208 | − | 0.650422i | ||||
\(909\) | −8.45320e12 | + | 5.43254e12i | −0.410661 | + | 0.263916i | ||||
\(910\) | 1.17519e12 | + | 1.35624e12i | 0.0568094 | + | 0.0655616i | ||||
\(911\) | 7.08382e12 | − | 2.08000e12i | 0.340749 | − | 0.100053i | −0.106881 | − | 0.994272i | \(-0.534086\pi\) |
0.447630 | + | 0.894219i | \(0.352268\pi\) | |||||||
\(912\) | 4.15135e12 | − | 2.88733e13i | 0.198707 | − | 1.38204i | ||||
\(913\) | −4.08160e12 | + | 4.71042e12i | −0.194407 | + | 0.224358i | ||||
\(914\) | 5.16279e12 | − | 1.13049e13i | 0.244696 | − | 0.535810i | ||||
\(915\) | 6.33869e12 | + | 1.86121e12i | 0.298954 | + | 0.0877809i | ||||
\(916\) | 5.89763e12 | + | 1.29140e13i | 0.276788 | + | 0.606082i | ||||
\(917\) | −7.62758e11 | − | 5.30510e12i | −0.0356225 | − | 0.247760i | ||||
\(918\) | 4.98530e11 | + | 3.20386e11i | 0.0231686 | + | 0.0148895i | ||||
\(919\) | 2.11944e13 | 0.980169 | 0.490085 | − | 0.871675i | \(-0.336966\pi\) | ||||
0.490085 | + | 0.871675i | \(0.336966\pi\) | |||||||
\(920\) | 1.80400e11 | + | 5.02119e10i | 0.00830217 | + | 0.00231080i | ||||
\(921\) | 1.36142e13 | 0.623484 | ||||||||
\(922\) | −1.67020e13 | − | 1.07337e13i | −0.761164 | − | 0.489170i | ||||
\(923\) | −9.47337e11 | − | 6.58887e12i | −0.0429632 | − | 0.298816i | ||||
\(924\) | −4.26577e12 | − | 9.34074e12i | −0.192519 | − | 0.421558i | ||||
\(925\) | 4.38137e12 | + | 1.28649e12i | 0.196776 | + | 0.0577787i | ||||
\(926\) | 1.67692e13 | − | 3.67195e13i | 0.749487 | − | 1.64115i | ||||
\(927\) | 2.21796e13 | − | 2.55967e13i | 0.986497 | − | 1.13848i | ||||
\(928\) | 1.39785e12 | − | 9.72223e12i | 0.0618719 | − | 0.430329i | ||||
\(929\) | −3.89594e13 | + | 1.14395e13i | −1.71609 | + | 0.503891i | −0.984130 | − | 0.177451i | \(-0.943215\pi\) |
−0.731965 | + | 0.681342i | \(0.761397\pi\) | |||||||
\(930\) | −7.34802e12 | − | 8.48006e12i | −0.322105 | − | 0.371728i | ||||
\(931\) | −8.00234e12 | + | 5.14279e12i | −0.349095 | + | 0.224350i | ||||
\(932\) | 3.48645e12 | − | 2.24060e12i | 0.151360 | − | 0.0972732i | ||||
\(933\) | 2.14247e13 | + | 2.47255e13i | 0.925653 | + | 1.06826i | ||||
\(934\) | −3.87101e13 | + | 1.13663e13i | −1.66442 | + | 0.488719i | ||||
\(935\) | 2.57496e10 | − | 1.79092e11i | 0.00110184 | − | 0.00766346i | ||||
\(936\) | 5.03202e11 | − | 5.80726e11i | 0.0214290 | − | 0.0247303i | ||||
\(937\) | 2.09857e12 | − | 4.59522e12i | 0.0889395 | − | 0.194750i | −0.859935 | − | 0.510403i | \(-0.829496\pi\) |
0.948875 | + | 0.315653i | \(0.102223\pi\) | |||||||
\(938\) | −3.92889e13 | − | 1.15362e13i | −1.65713 | − | 0.486577i | ||||
\(939\) | −1.29908e13 | − | 2.84459e13i | −0.545306 | − | 1.19405i | ||||
\(940\) | 5.62375e11 | + | 3.91140e12i | 0.0234937 | + | 0.163402i | ||||
\(941\) | 2.21724e13 | + | 1.42493e13i | 0.921848 | + | 0.592436i | 0.913193 | − | 0.407527i | \(-0.133609\pi\) |
0.00865506 | + | 0.999963i | \(0.497245\pi\) | |||||||
\(942\) | 1.00998e13 | 0.417912 | ||||||||
\(943\) | 3.93369e12 | − | 3.04040e13i | 0.161993 | − | 1.25207i | ||||
\(944\) | 1.40508e13 | 0.575873 | ||||||||
\(945\) | −4.27962e11 | − | 2.75034e11i | −0.0174567 | − | 0.0112187i | ||||
\(946\) | 1.46262e12 | + | 1.01728e13i | 0.0593775 | + | 0.412980i | ||||
\(947\) | −1.49640e13 | − | 3.27667e13i | −0.604608 | − | 1.32391i | −0.926202 | − | 0.377029i | \(-0.876946\pi\) |
0.321594 | − | 0.946878i | \(-0.395781\pi\) | |||||||
\(948\) | −4.59811e13 | − | 1.35013e13i | −1.84902 | − | 0.542921i | ||||
\(949\) | −1.08701e13 | + | 2.38022e13i | −0.435046 | + | 0.952617i | ||||
\(950\) | −2.07393e13 | + | 2.39345e13i | −0.826112 | + | 0.953384i | ||||
\(951\) | −9.13595e12 | + | 6.35420e13i | −0.362194 | + | 2.51912i | ||||
\(952\) | 1.09388e11 | − | 3.21192e10i | 0.00431622 | − | 0.00126736i | ||||
\(953\) | −2.50168e12 | − | 2.88709e12i | −0.0982458 | − | 0.113382i | 0.704497 | − | 0.709707i | \(-0.251172\pi\) |
−0.802743 | + | 0.596325i | \(0.796627\pi\) | |||||||
\(954\) | −9.92938e12 | + | 6.38122e12i | −0.388110 | + | 0.249423i | ||||
\(955\) | −6.28317e12 | + | 4.03795e12i | −0.244435 | + | 0.157089i | ||||
\(956\) | 2.91735e13 | + | 3.36681e13i | 1.12961 | + | 1.30364i | ||||
\(957\) | −5.03169e12 | + | 1.47744e12i | −0.193914 | + | 0.0569384i | ||||
\(958\) | −1.90665e12 | + | 1.32610e13i | −0.0731350 | + | 0.508665i | ||||
\(959\) | 1.71796e13 | − | 1.98264e13i | 0.655889 | − | 0.756937i | ||||
\(960\) | 2.30174e12 | − | 5.04011e12i | 0.0874652 | − | 0.191522i | ||||
\(961\) | −3.44143e13 | − | 1.01050e13i | −1.30162 | − | 0.382190i | ||||
\(962\) | 1.72684e12 | + | 3.78125e12i | 0.0650075 | + | 0.142347i | ||||
\(963\) | 3.19398e12 | + | 2.22146e13i | 0.119678 | + | 0.832377i | ||||
\(964\) | −3.05641e13 | − | 1.96423e13i | −1.13989 | − | 0.732566i | ||||
\(965\) | −3.75612e12 | −0.139433 | ||||||||
\(966\) | −3.41510e13 | + | 2.26358e13i | −1.26185 | + | 0.836372i | ||||
\(967\) | −2.14778e13 | −0.789899 | −0.394949 | − | 0.918703i | \(-0.629238\pi\) | ||||
−0.394949 | + | 0.918703i | \(0.629238\pi\) | |||||||
\(968\) | −1.00988e12 | − | 6.49009e11i | −0.0369683 | − | 0.0237581i | ||||
\(969\) | 5.80643e11 | + | 4.03846e12i | 0.0211569 | + | 0.147150i | ||||
\(970\) | −4.04438e12 | − | 8.85595e12i | −0.146683 | − | 0.321190i | ||||
\(971\) | 3.44475e13 | + | 1.01147e13i | 1.24357 | + | 0.365146i | 0.836357 | − | 0.548185i | \(-0.184681\pi\) |
0.407217 | + | 0.913332i | \(0.366499\pi\) | |||||||
\(972\) | −1.59397e13 | + | 3.49031e13i | −0.572773 | + | 1.25420i | ||||
\(973\) | 6.49989e12 | − | 7.50127e12i | 0.232487 | − | 0.268304i | ||||
\(974\) | −3.70436e12 | + | 2.57644e13i | −0.131886 | + | 0.917286i | ||||
\(975\) | −2.04451e13 | + | 6.00323e12i | −0.724551 | + | 0.212747i | ||||
\(976\) | 2.62299e13 | + | 3.02709e13i | 0.925278 | + | 1.06783i | ||||
\(977\) | −2.65704e13 | + | 1.70758e13i | −0.932980 | + | 0.599590i | −0.916396 | − | 0.400272i | \(-0.868915\pi\) |
−0.0165841 | + | 0.999862i | \(0.505279\pi\) | |||||||
\(978\) | −5.10317e12 | + | 3.27961e12i | −0.178367 | + | 0.114630i | ||||
\(979\) | 2.58085e12 | + | 2.97845e12i | 0.0897925 | + | 0.103626i | ||||
\(980\) | −1.87842e12 | + | 5.51554e11i | −0.0650542 | + | 0.0191016i | ||||
\(981\) | 7.85537e12 | − | 5.46353e13i | 0.270805 | − | 1.88349i | ||||
\(982\) | −1.60244e13 | + | 1.84931e13i | −0.549894 | + | 0.634612i | ||||
\(983\) | −1.37934e13 | + | 3.02034e13i | −0.471173 | + | 1.03173i | 0.513623 | + | 0.858016i | \(0.328303\pi\) |
−0.984797 | + | 0.173710i | \(0.944424\pi\) | |||||||
\(984\) | 2.84738e12 | + | 8.36065e11i | 0.0968204 | + | 0.0284290i | ||||
\(985\) | −6.26370e11 | − | 1.37156e12i | −0.0212016 | − | 0.0464250i | ||||
\(986\) | 2.03187e11 | + | 1.41320e12i | 0.00684620 | + | 0.0476164i | ||||
\(987\) | 2.96609e13 | + | 1.90619e13i | 0.994849 | + | 0.639351i | ||||
\(988\) | −1.41270e13 | −0.471677 | ||||||||
\(989\) | 1.91975e13 | − | 5.93288e12i | 0.638061 | − | 0.197189i | ||||
\(990\) | −3.32833e12 | −0.110120 | ||||||||
\(991\) | 3.21148e13 | + | 2.06390e13i | 1.05773 | + | 0.679761i | 0.949309 | − | 0.314344i | \(-0.101785\pi\) |
0.108420 | + | 0.994105i | \(0.465421\pi\) | |||||||
\(992\) | −9.31632e12 | − | 6.47964e13i | −0.305451 | − | 2.12446i | ||||
\(993\) | −2.65904e13 | − | 5.82248e13i | −0.867867 | − | 1.90036i | ||||
\(994\) | −1.74316e13 | − | 5.11837e12i | −0.566367 | − | 0.166300i | ||||
\(995\) | −2.67470e12 | + | 5.85678e12i | −0.0865111 | + | 0.189433i | ||||
\(996\) | 1.89422e13 | − | 2.18605e13i | 0.609907 | − | 0.703870i | ||||
\(997\) | −3.34941e11 | + | 2.32956e12i | −0.0107359 | + | 0.0746700i | −0.994485 | − | 0.104879i | \(-0.966555\pi\) |
0.983749 | + | 0.179549i | \(0.0574637\pi\) | |||||||
\(998\) | 7.00655e13 | − | 2.05731e13i | 2.23572 | − | 0.656466i | ||||
\(999\) | −7.71682e11 | − | 8.90568e11i | −0.0245128 | − | 0.0282893i |
(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 | 23.10.c.a.2.3 | ✓ | 170 | |
23.12 | even | 11 | inner | 23.10.c.a.12.3 | yes | 170 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.10.c.a.2.3 | ✓ | 170 | 1.1 | even | 1 | trivial | |
23.10.c.a.12.3 | yes | 170 | 23.12 | even | 11 | inner |