Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,10,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
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("27.4");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(13.9059675764\) |
Analytic rank: | \(0\) |
Dimension: | \(156\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.18 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.10.e.a.7.18 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 17.4636 | + | 6.35623i | 0.771789 | + | 0.280908i | 0.697745 | − | 0.716347i | \(-0.254187\pi\) |
0.0740446 | + | 0.997255i | \(0.476409\pi\) | |||||||
\(3\) | −17.1474 | + | 139.244i | −0.122223 | + | 0.992503i | ||||
\(4\) | −127.639 | − | 107.102i | −0.249295 | − | 0.209184i | ||||
\(5\) | 280.318 | − | 1589.76i | 0.200579 | − | 1.13754i | −0.703668 | − | 0.710529i | \(-0.748456\pi\) |
0.904247 | − | 0.427010i | \(-0.140433\pi\) | |||||||
\(6\) | −1184.52 | + | 2322.71i | −0.373132 | + | 0.731670i | ||||
\(7\) | 610.601 | − | 512.355i | 0.0961205 | − | 0.0806547i | −0.593461 | − | 0.804863i | \(-0.702239\pi\) |
0.689582 | + | 0.724208i | \(0.257794\pi\) | |||||||
\(8\) | −6305.87 | − | 10922.1i | −0.544302 | − | 0.942760i | ||||
\(9\) | −19094.9 | − | 4775.35i | −0.970123 | − | 0.242613i | ||||
\(10\) | 15000.2 | − | 25981.2i | 0.474349 | − | 0.821597i | ||||
\(11\) | −4495.09 | − | 25492.9i | −0.0925702 | − | 0.524992i | −0.995465 | − | 0.0951300i | \(-0.969673\pi\) |
0.902895 | − | 0.429862i | \(-0.141438\pi\) | |||||||
\(12\) | 17102.0 | − | 15936.5i | 0.238085 | − | 0.221859i | ||||
\(13\) | 106141. | − | 38632.3i | 1.03072 | − | 0.375150i | 0.229363 | − | 0.973341i | \(-0.426336\pi\) |
0.801354 | + | 0.598191i | \(0.204114\pi\) | |||||||
\(14\) | 13919.9 | − | 5066.44i | 0.0968414 | − | 0.0352474i | ||||
\(15\) | 216558. | + | 66292.8i | 1.10450 | + | 0.338108i | ||||
\(16\) | −25886.0 | − | 146807.i | −0.0987472 | − | 0.560023i | ||||
\(17\) | 64251.1 | − | 111286.i | 0.186578 | − | 0.323162i | −0.757529 | − | 0.652801i | \(-0.773594\pi\) |
0.944107 | + | 0.329639i | \(0.106927\pi\) | |||||||
\(18\) | −303113. | − | 204767.i | −0.680579 | − | 0.459762i | ||||
\(19\) | −175832. | − | 304550.i | −0.309533 | − | 0.536127i | 0.668727 | − | 0.743508i | \(-0.266839\pi\) |
−0.978260 | + | 0.207381i | \(0.933506\pi\) | |||||||
\(20\) | −206046. | + | 172893.i | −0.287958 | + | 0.241625i | ||||
\(21\) | 60872.3 | + | 93808.2i | 0.0683019 | + | 0.105258i | ||||
\(22\) | 83538.4 | − | 473770.i | 0.0760299 | − | 0.431187i | ||||
\(23\) | −1965.39 | − | 1649.15i | −0.00146444 | − | 0.00122881i | 0.642055 | − | 0.766659i | \(-0.278082\pi\) |
−0.643520 | + | 0.765430i | \(0.722526\pi\) | |||||||
\(24\) | 1.62897e6 | − | 690772.i | 1.00222 | − | 0.424995i | ||||
\(25\) | −613422. | − | 223267.i | −0.314072 | − | 0.114313i | ||||
\(26\) | 2.09916e6 | 0.900879 | ||||||||
\(27\) | 992367. | − | 2.57698e6i | 0.359365 | − | 0.933197i | ||||
\(28\) | −132811. | −0.0408340 | ||||||||
\(29\) | −3.90737e6 | − | 1.42216e6i | −1.02587 | − | 0.373387i | −0.226364 | − | 0.974043i | \(-0.572684\pi\) |
−0.799508 | + | 0.600656i | \(0.794906\pi\) | |||||||
\(30\) | 3.36051e6 | + | 2.53421e6i | 0.757461 | + | 0.571210i | ||||
\(31\) | −4.10711e6 | − | 3.44627e6i | −0.798746 | − | 0.670227i | 0.149147 | − | 0.988815i | \(-0.452347\pi\) |
−0.947893 | + | 0.318588i | \(0.896792\pi\) | |||||||
\(32\) | −640209. | + | 3.63081e6i | −0.107931 | + | 0.612108i | ||||
\(33\) | 3.62682e6 | − | 188779.i | 0.532370 | − | 0.0277103i | ||||
\(34\) | 1.82942e6 | − | 1.53506e6i | 0.234778 | − | 0.197002i | ||||
\(35\) | −643359. | − | 1.11433e6i | −0.0724682 | − | 0.125519i | ||||
\(36\) | 1.92581e6 | + | 2.65463e6i | 0.191097 | + | 0.263416i | ||||
\(37\) | 1.52669e6 | − | 2.64430e6i | 0.133919 | − | 0.231955i | −0.791265 | − | 0.611474i | \(-0.790577\pi\) |
0.925184 | + | 0.379519i | \(0.123910\pi\) | |||||||
\(38\) | −1.13487e6 | − | 6.43617e6i | −0.0882917 | − | 0.500727i | ||||
\(39\) | 3.55928e6 | + | 1.54420e7i | 0.246361 | + | 1.06884i | ||||
\(40\) | −1.91312e7 | + | 6.96317e6i | −1.18160 | + | 0.430068i | ||||
\(41\) | −2.20476e7 | + | 8.02467e6i | −1.21852 | + | 0.443507i | −0.869653 | − | 0.493664i | \(-0.835657\pi\) |
−0.348872 | + | 0.937171i | \(0.613435\pi\) | |||||||
\(42\) | 466783. | + | 2.02515e6i | 0.0231469 | + | 0.100423i | ||||
\(43\) | 3.33783e6 | + | 1.89298e7i | 0.148887 | + | 0.844379i | 0.964164 | + | 0.265308i | \(0.0854735\pi\) |
−0.815277 | + | 0.579071i | \(0.803415\pi\) | |||||||
\(44\) | −2.15659e6 | + | 3.73533e6i | −0.0867424 | + | 0.150242i | ||||
\(45\) | −1.29443e7 | + | 2.90178e7i | −0.470568 | + | 1.05489i | ||||
\(46\) | −23840.3 | − | 41292.6i | −0.000785058 | − | 0.00135976i | ||||
\(47\) | 1.67023e7 | − | 1.40149e7i | 0.499270 | − | 0.418937i | −0.358065 | − | 0.933697i | \(-0.616563\pi\) |
0.857335 | + | 0.514760i | \(0.172119\pi\) | |||||||
\(48\) | 2.08859e7 | − | 1.08713e6i | 0.567893 | − | 0.0295593i | ||||
\(49\) | −6.89700e6 | + | 3.91149e7i | −0.170914 | + | 0.969303i | ||||
\(50\) | −9.29341e6 | − | 7.79810e6i | −0.210286 | − | 0.176451i | ||||
\(51\) | 1.43942e7 | + | 1.08549e7i | 0.297936 | + | 0.224677i | ||||
\(52\) | −1.76854e7 | − | 6.43695e6i | −0.335428 | − | 0.122086i | ||||
\(53\) | 8.11126e7 | 1.41204 | 0.706020 | − | 0.708192i | \(-0.250489\pi\) | ||||
0.706020 | + | 0.708192i | \(0.250489\pi\) | |||||||
\(54\) | 3.37102e7 | − | 3.86956e7i | 0.539497 | − | 0.619283i | ||||
\(55\) | −4.17877e7 | −0.615767 | ||||||||
\(56\) | −9.44636e6 | − | 3.43819e6i | −0.128357 | − | 0.0467180i | ||||
\(57\) | 4.54219e7 | − | 1.92614e7i | 0.569939 | − | 0.241685i | ||||
\(58\) | −5.91971e7 | − | 4.96722e7i | −0.686869 | − | 0.576352i | ||||
\(59\) | 3.01060e7 | − | 1.70740e8i | 0.323459 | − | 1.83443i | −0.196832 | − | 0.980437i | \(-0.563065\pi\) |
0.520291 | − | 0.853989i | \(-0.325823\pi\) | |||||||
\(60\) | −2.05412e7 | − | 3.16554e7i | −0.204619 | − | 0.315331i | ||||
\(61\) | −7.48377e7 | + | 6.27963e7i | −0.692048 | + | 0.580697i | −0.919499 | − | 0.393092i | \(-0.871405\pi\) |
0.227451 | + | 0.973790i | \(0.426961\pi\) | |||||||
\(62\) | −4.98196e7 | − | 8.62901e7i | −0.428191 | − | 0.741649i | ||||
\(63\) | −1.41061e7 | + | 6.86755e6i | −0.112817 | + | 0.0549249i | ||||
\(64\) | −7.24209e7 | + | 1.25437e8i | −0.539577 | + | 0.934576i | ||||
\(65\) | −3.16628e7 | − | 1.79568e8i | −0.220008 | − | 1.24773i | ||||
\(66\) | 6.45373e7 | + | 1.97562e7i | 0.418662 | + | 0.128161i | ||||
\(67\) | 2.17705e8 | − | 7.92381e7i | 1.31987 | − | 0.480394i | 0.416454 | − | 0.909157i | \(-0.363273\pi\) |
0.903417 | + | 0.428763i | \(0.141051\pi\) | |||||||
\(68\) | −2.01199e7 | + | 7.32305e6i | −0.114113 | + | 0.0415338i | ||||
\(69\) | 263337. | − | 245390.i | 0.00139859 | − | 0.00130328i | ||||
\(70\) | −4.15242e6 | − | 2.35496e7i | −0.0206709 | − | 0.117231i | ||||
\(71\) | 1.41531e8 | − | 2.45140e8i | 0.660983 | − | 1.14486i | −0.319375 | − | 0.947629i | \(-0.603473\pi\) |
0.980358 | − | 0.197228i | \(-0.0631938\pi\) | |||||||
\(72\) | 6.82535e7 | + | 2.38669e8i | 0.299315 | + | 1.04665i | ||||
\(73\) | 2.29279e8 | + | 3.97123e8i | 0.944957 | + | 1.63671i | 0.755837 | + | 0.654759i | \(0.227230\pi\) |
0.189119 | + | 0.981954i | \(0.439437\pi\) | |||||||
\(74\) | 4.34693e7 | − | 3.64750e7i | 0.168515 | − | 0.141401i | ||||
\(75\) | 4.16073e7 | − | 8.15870e7i | 0.151843 | − | 0.297746i | ||||
\(76\) | −1.01749e7 | + | 5.77045e7i | −0.0349838 | + | 0.198403i | ||||
\(77\) | −1.58061e7 | − | 1.32629e7i | −0.0512410 | − | 0.0429963i | ||||
\(78\) | −3.59951e7 | + | 2.92297e8i | −0.110108 | + | 0.894125i | ||||
\(79\) | −5.29687e8 | − | 1.92790e8i | −1.53002 | − | 0.556882i | −0.566394 | − | 0.824134i | \(-0.691662\pi\) |
−0.963627 | + | 0.267252i | \(0.913884\pi\) | |||||||
\(80\) | −2.40644e8 | −0.656855 | ||||||||
\(81\) | 3.41813e8 | + | 1.82370e8i | 0.882278 | + | 0.470728i | ||||
\(82\) | −4.36037e8 | −1.06503 | ||||||||
\(83\) | 6.29101e7 | + | 2.28974e7i | 0.145502 | + | 0.0529584i | 0.413745 | − | 0.910393i | \(-0.364221\pi\) |
−0.268243 | + | 0.963351i | \(0.586443\pi\) | |||||||
\(84\) | 2.27736e6 | − | 1.84931e7i | 0.00499085 | − | 0.0405279i | ||||
\(85\) | −1.58908e8 | − | 1.33339e8i | −0.330187 | − | 0.277059i | ||||
\(86\) | −6.20314e7 | + | 3.51798e8i | −0.122284 | + | 0.693506i | ||||
\(87\) | 2.65029e8 | − | 5.19692e8i | 0.495972 | − | 0.972544i | ||||
\(88\) | −2.50091e8 | + | 2.09851e8i | −0.444555 | + | 0.373026i | ||||
\(89\) | 2.71094e8 | + | 4.69549e8i | 0.458000 | + | 0.793279i | 0.998855 | − | 0.0478365i | \(-0.0152326\pi\) |
−0.540855 | + | 0.841116i | \(0.681899\pi\) | |||||||
\(90\) | −4.10498e8 | + | 4.24477e8i | −0.659507 | + | 0.681967i | ||||
\(91\) | 4.50165e7 | − | 7.79709e7i | 0.0688154 | − | 0.119192i | ||||
\(92\) | 74232.5 | + | 420994.i | 0.000108031 | + | 0.000612675i | ||||
\(93\) | 5.50300e8 | − | 5.12797e8i | 0.762827 | − | 0.710841i | ||||
\(94\) | 3.80764e8 | − | 1.38587e8i | 0.503014 | − | 0.183082i | ||||
\(95\) | −5.33450e8 | + | 1.94160e8i | −0.671951 | + | 0.244570i | ||||
\(96\) | −4.94591e8 | − | 1.51404e8i | −0.594327 | − | 0.181935i | ||||
\(97\) | 1.23991e7 | + | 7.03187e7i | 0.0142206 | + | 0.0806488i | 0.991092 | − | 0.133178i | \(-0.0425182\pi\) |
−0.976872 | + | 0.213827i | \(0.931407\pi\) | |||||||
\(98\) | −3.69070e8 | + | 6.39247e8i | −0.404195 | + | 0.700086i | ||||
\(99\) | −3.59041e7 | + | 5.08251e8i | −0.0375652 | + | 0.531766i | ||||
\(100\) | 5.43843e7 | + | 9.41964e7i | 0.0543843 | + | 0.0941964i | ||||
\(101\) | 1.11072e8 | − | 9.32004e7i | 0.106208 | − | 0.0891192i | −0.588137 | − | 0.808761i | \(-0.700138\pi\) |
0.694345 | + | 0.719642i | \(0.255694\pi\) | |||||||
\(102\) | 1.82379e8 | + | 2.81058e8i | 0.166830 | + | 0.257096i | ||||
\(103\) | 2.46300e8 | − | 1.39683e9i | 0.215624 | − | 1.22286i | −0.664198 | − | 0.747557i | \(-0.731227\pi\) |
0.879821 | − | 0.475305i | \(-0.157662\pi\) | |||||||
\(104\) | −1.09126e9 | − | 9.15675e8i | −0.914698 | − | 0.767523i | ||||
\(105\) | 1.66196e8 | − | 7.04762e7i | 0.133435 | − | 0.0565836i | ||||
\(106\) | 1.41652e9 | + | 5.15571e8i | 1.08980 | + | 0.396654i | ||||
\(107\) | 2.27609e9 | 1.67866 | 0.839328 | − | 0.543625i | \(-0.182949\pi\) | ||||
0.839328 | + | 0.543625i | \(0.182949\pi\) | |||||||
\(108\) | −4.02664e8 | + | 2.22639e8i | −0.284797 | + | 0.157468i | ||||
\(109\) | −7.56560e8 | −0.513362 | −0.256681 | − | 0.966496i | \(-0.582629\pi\) | ||||
−0.256681 | + | 0.966496i | \(0.582629\pi\) | |||||||
\(110\) | −7.29763e8 | − | 2.65612e8i | −0.475242 | − | 0.172974i | ||||
\(111\) | 3.42025e8 | + | 2.57925e8i | 0.213848 | + | 0.161265i | ||||
\(112\) | −9.10231e7 | − | 7.63774e7i | −0.0546601 | − | 0.0458653i | ||||
\(113\) | −3.43870e8 | + | 1.95018e9i | −0.198400 | + | 1.12518i | 0.709093 | + | 0.705115i | \(0.249105\pi\) |
−0.907493 | + | 0.420067i | \(0.862007\pi\) | |||||||
\(114\) | 9.15660e8 | − | 4.76608e7i | 0.507764 | − | 0.0264295i | ||||
\(115\) | −3.17269e6 | + | 2.66221e6i | −0.00169156 | + | 0.00141939i | ||||
\(116\) | 3.46416e8 | + | 6.00011e8i | 0.177639 | + | 0.307679i | ||||
\(117\) | −2.21124e9 | + | 2.30819e8i | −1.09094 | + | 0.113877i | ||||
\(118\) | 1.61102e9 | − | 2.79037e9i | 0.764948 | − | 1.32493i | ||||
\(119\) | −1.77862e7 | − | 1.00871e8i | −0.00813060 | − | 0.0461109i | ||||
\(120\) | −6.41533e8 | − | 2.78330e9i | −0.282425 | − | 1.22531i | ||||
\(121\) | 1.58606e9 | − | 5.77280e8i | 0.672645 | − | 0.244823i | ||||
\(122\) | −1.70608e9 | + | 6.20964e8i | −0.697238 | + | 0.253774i | ||||
\(123\) | −7.39331e8 | − | 3.20761e9i | −0.291250 | − | 1.26360i | ||||
\(124\) | 1.55125e8 | + | 8.79759e8i | 0.0589230 | + | 0.334169i | ||||
\(125\) | 1.04956e9 | − | 1.81788e9i | 0.384512 | − | 0.665995i | ||||
\(126\) | −2.89994e8 | + | 3.02709e7i | −0.102500 | + | 0.0106994i | ||||
\(127\) | 1.94110e9 | + | 3.36209e9i | 0.662112 | + | 1.14681i | 0.980060 | + | 0.198703i | \(0.0636731\pi\) |
−0.317948 | + | 0.948108i | \(0.602994\pi\) | |||||||
\(128\) | −6.16009e8 | + | 5.16893e8i | −0.202835 | + | 0.170198i | ||||
\(129\) | −2.69310e9 | + | 1.40178e8i | −0.856245 | + | 0.0445683i | ||||
\(130\) | 5.88433e8 | − | 3.33717e9i | 0.180697 | − | 1.02479i | ||||
\(131\) | 8.75614e8 | + | 7.34727e8i | 0.259772 | + | 0.217974i | 0.763366 | − | 0.645966i | \(-0.223545\pi\) |
−0.503595 | + | 0.863940i | \(0.667990\pi\) | |||||||
\(132\) | −4.83143e8 | − | 3.64344e8i | −0.138514 | − | 0.104455i | ||||
\(133\) | −2.63401e8 | − | 9.58701e7i | −0.0729936 | − | 0.0265675i | ||||
\(134\) | 4.30556e9 | 1.15361 | ||||||||
\(135\) | −3.81860e9 | − | 2.30000e9i | −0.989468 | − | 0.595971i | ||||
\(136\) | −1.62064e9 | −0.406219 | ||||||||
\(137\) | 2.92900e9 | + | 1.06607e9i | 0.710356 | + | 0.258549i | 0.671826 | − | 0.740709i | \(-0.265510\pi\) |
0.0385301 | + | 0.999257i | \(0.487732\pi\) | |||||||
\(138\) | 6.15856e6 | − | 2.61157e6i | 0.00144552 | − | 0.000612978i | ||||
\(139\) | 1.22616e9 | + | 1.02887e9i | 0.278599 | + | 0.233772i | 0.771370 | − | 0.636387i | \(-0.219572\pi\) |
−0.492771 | + | 0.870159i | \(0.664016\pi\) | |||||||
\(140\) | −3.72292e7 | + | 2.11137e8i | −0.00819045 | + | 0.0464503i | ||||
\(141\) | 1.66509e9 | + | 2.56601e9i | 0.354774 | + | 0.546730i | ||||
\(142\) | 4.02981e9 | − | 3.38141e9i | 0.831739 | − | 0.697912i | ||||
\(143\) | −1.46196e9 | − | 2.53220e9i | −0.292364 | − | 0.506390i | ||||
\(144\) | −2.06762e8 | + | 2.92688e9i | −0.0400718 | + | 0.567249i | ||||
\(145\) | −3.35620e9 | + | 5.81312e9i | −0.630511 | + | 1.09208i | ||||
\(146\) | 1.47983e9 | + | 8.39256e9i | 0.269541 | + | 1.52864i | ||||
\(147\) | −5.32825e9 | − | 1.63109e9i | −0.941146 | − | 0.288104i | ||||
\(148\) | −4.78075e8 | + | 1.74005e8i | −0.0819065 | + | 0.0298115i | ||||
\(149\) | −4.49393e8 | + | 1.63566e8i | −0.0746945 | + | 0.0271866i | −0.379097 | − | 0.925357i | \(-0.623765\pi\) |
0.304403 | + | 0.952543i | \(0.401543\pi\) | |||||||
\(150\) | 1.24520e9 | − | 1.16034e9i | 0.200830 | − | 0.187143i | ||||
\(151\) | 1.20387e9 | + | 6.82747e9i | 0.188444 | + | 1.06872i | 0.921450 | + | 0.388497i | \(0.127006\pi\) |
−0.733006 | + | 0.680222i | \(0.761883\pi\) | |||||||
\(152\) | −2.21755e9 | + | 3.84091e9i | −0.336959 | + | 0.583630i | ||||
\(153\) | −1.75830e9 | + | 1.81818e9i | −0.259407 | + | 0.268241i | ||||
\(154\) | −1.91730e8 | − | 3.32086e8i | −0.0274692 | − | 0.0475781i | ||||
\(155\) | −6.63004e9 | + | 5.56327e9i | −0.922622 | + | 0.774172i | ||||
\(156\) | 1.19957e9 | − | 2.35221e9i | 0.162167 | − | 0.317992i | ||||
\(157\) | 1.25829e9 | − | 7.13614e9i | 0.165285 | − | 0.937379i | −0.783485 | − | 0.621411i | \(-0.786560\pi\) |
0.948770 | − | 0.315968i | \(-0.102329\pi\) | |||||||
\(158\) | −8.02482e9 | − | 6.73362e9i | −1.02442 | − | 0.859591i | ||||
\(159\) | −1.39087e9 | + | 1.12945e10i | −0.172583 | + | 1.40145i | ||||
\(160\) | 5.59265e9 | + | 2.03556e9i | 0.674648 | + | 0.245552i | ||||
\(161\) | −2.04502e6 | −0.000239873 | ||||||||
\(162\) | 4.81009e9 | + | 5.35747e9i | 0.548701 | + | 0.611142i | ||||
\(163\) | −1.48150e10 | −1.64383 | −0.821915 | − | 0.569610i | \(-0.807094\pi\) | ||||
−0.821915 | + | 0.569610i | \(0.807094\pi\) | |||||||
\(164\) | 3.67360e9 | + | 1.33708e9i | 0.396547 | + | 0.144331i | ||||
\(165\) | 7.16549e8 | − | 5.81870e9i | 0.0752607 | − | 0.611150i | ||||
\(166\) | 9.53096e8 | + | 7.99743e8i | 0.0974205 | + | 0.0817455i | ||||
\(167\) | 3.07828e9 | − | 1.74578e10i | 0.306256 | − | 1.73686i | −0.311278 | − | 0.950319i | \(-0.600757\pi\) |
0.617534 | − | 0.786544i | \(-0.288132\pi\) | |||||||
\(168\) | 6.40729e8 | − | 1.25640e9i | 0.0620558 | − | 0.121684i | ||||
\(169\) | 1.65000e9 | − | 1.38451e9i | 0.155594 | − | 0.130559i | ||||
\(170\) | −1.92756e9 | − | 3.33864e9i | −0.177006 | − | 0.306584i | ||||
\(171\) | 1.90317e9 | + | 6.65502e9i | 0.170214 | + | 0.595206i | ||||
\(172\) | 1.60138e9 | − | 2.77367e9i | 0.139513 | − | 0.241644i | ||||
\(173\) | 2.08583e9 | + | 1.18294e10i | 0.177040 | + | 1.00405i | 0.935762 | + | 0.352631i | \(0.114713\pi\) |
−0.758722 | + | 0.651414i | \(0.774176\pi\) | |||||||
\(174\) | 7.93165e9 | − | 7.39110e9i | 0.655982 | − | 0.611276i | ||||
\(175\) | −4.88948e8 | + | 1.77962e8i | −0.0394086 | + | 0.0143436i | ||||
\(176\) | −3.62617e9 | + | 1.31982e9i | −0.284867 | + | 0.103683i | ||||
\(177\) | 2.32583e10 | + | 7.11982e9i | 1.78114 | + | 0.545242i | ||||
\(178\) | 1.74972e9 | + | 9.92316e9i | 0.130641 | + | 0.740900i | ||||
\(179\) | 1.07814e10 | − | 1.86739e10i | 0.784939 | − | 1.35955i | −0.144097 | − | 0.989564i | \(-0.546028\pi\) |
0.929036 | − | 0.369990i | \(-0.120639\pi\) | |||||||
\(180\) | 4.76006e9 | − | 2.31744e9i | 0.337976 | − | 0.164544i | ||||
\(181\) | −1.09960e10 | − | 1.90457e10i | −0.761522 | − | 1.31900i | −0.942066 | − | 0.335428i | \(-0.891119\pi\) |
0.180543 | − | 0.983567i | \(-0.442214\pi\) | |||||||
\(182\) | 1.28175e9 | − | 1.07552e9i | 0.0865929 | − | 0.0726601i | ||||
\(183\) | −7.46075e9 | − | 1.14975e10i | −0.491760 | − | 0.757834i | ||||
\(184\) | −5.61875e6 | + | 3.18655e7i | −0.000361376 | + | 0.00204946i | ||||
\(185\) | −3.77585e9 | − | 3.16831e9i | −0.236996 | − | 0.198864i | ||||
\(186\) | 1.28697e10 | − | 5.45745e9i | 0.788423 | − | 0.334335i | ||||
\(187\) | −3.12582e9 | − | 1.13771e9i | −0.186929 | − | 0.0680367i | ||||
\(188\) | −3.63289e9 | −0.212100 | ||||||||
\(189\) | −7.14386e8 | − | 2.08195e9i | −0.0407244 | − | 0.118684i | ||||
\(190\) | −1.05501e10 | −0.587307 | ||||||||
\(191\) | 4.20187e9 | + | 1.52936e9i | 0.228451 | + | 0.0831493i | 0.453709 | − | 0.891150i | \(-0.350100\pi\) |
−0.225259 | + | 0.974299i | \(0.572323\pi\) | |||||||
\(192\) | −1.62245e10 | − | 1.22351e10i | −0.861620 | − | 0.649758i | ||||
\(193\) | −2.16606e10 | − | 1.81754e10i | −1.12373 | − | 0.942921i | −0.124943 | − | 0.992164i | \(-0.539875\pi\) |
−0.998787 | + | 0.0492430i | \(0.984319\pi\) | |||||||
\(194\) | −2.30429e8 | + | 1.30683e9i | −0.0116797 | + | 0.0662386i | ||||
\(195\) | 2.55468e10 | − | 1.32973e9i | 1.26526 | − | 0.0658580i | ||||
\(196\) | 5.06961e9 | − | 4.25391e9i | 0.245370 | − | 0.205890i | ||||
\(197\) | −8.39382e9 | − | 1.45385e10i | −0.397065 | − | 0.687737i | 0.596297 | − | 0.802764i | \(-0.296638\pi\) |
−0.993362 | + | 0.115027i | \(0.963305\pi\) | |||||||
\(198\) | −3.85758e9 | + | 8.64768e9i | −0.178370 | + | 0.399859i | ||||
\(199\) | −1.43606e10 | + | 2.48733e10i | −0.649134 | + | 1.12433i | 0.334196 | + | 0.942504i | \(0.391535\pi\) |
−0.983330 | + | 0.181830i | \(0.941798\pi\) | |||||||
\(200\) | 1.42961e9 | + | 8.10775e9i | 0.0631806 | + | 0.358315i | ||||
\(201\) | 7.30038e9 | + | 3.16729e10i | 0.315474 | + | 1.36869i | ||||
\(202\) | 2.53212e9 | − | 9.21615e8i | 0.107005 | − | 0.0389465i | ||||
\(203\) | −3.11449e9 | + | 1.13358e9i | −0.128723 | + | 0.0468512i | ||||
\(204\) | −6.74689e8 | − | 2.92716e9i | −0.0272752 | − | 0.118334i | ||||
\(205\) | 6.57697e9 | + | 3.72999e10i | 0.260096 | + | 1.47508i | ||||
\(206\) | 1.31799e10 | − | 2.28282e10i | 0.509928 | − | 0.883221i | ||||
\(207\) | 2.96536e7 | + | 4.08759e7i | 0.00112256 | + | 0.00154739i | ||||
\(208\) | −8.41904e9 | − | 1.45822e10i | −0.311873 | − | 0.540180i | ||||
\(209\) | −6.97349e9 | + | 5.85145e9i | −0.252809 | + | 0.212132i | ||||
\(210\) | 3.35034e9 | − | 1.74388e8i | 0.118878 | − | 0.00618771i | ||||
\(211\) | −1.83777e9 | + | 1.04225e10i | −0.0638294 | + | 0.361995i | 0.936117 | + | 0.351687i | \(0.114392\pi\) |
−0.999947 | + | 0.0103071i | \(0.996719\pi\) | |||||||
\(212\) | −1.03532e10 | − | 8.68732e9i | −0.352015 | − | 0.295376i | ||||
\(213\) | 3.17074e10 | + | 2.39109e10i | 1.05549 | + | 0.795955i | ||||
\(214\) | 3.97487e10 | + | 1.44673e10i | 1.29557 | + | 0.471548i | ||||
\(215\) | 3.10294e10 | 0.990378 | ||||||||
\(216\) | −3.44037e10 | + | 5.41135e9i | −1.07538 | + | 0.169147i | ||||
\(217\) | −4.27352e9 | −0.130833 | ||||||||
\(218\) | −1.32123e10 | − | 4.80887e9i | −0.396208 | − | 0.144208i | ||||
\(219\) | −5.92287e10 | + | 2.51162e10i | −1.73994 | + | 0.737829i | ||||
\(220\) | 5.33375e9 | + | 4.47555e9i | 0.153508 | + | 0.128808i | ||||
\(221\) | 2.52046e9 | − | 1.42942e10i | 0.0710745 | − | 0.403084i | ||||
\(222\) | 4.33356e9 | + | 6.67830e9i | 0.119745 | + | 0.184534i | ||||
\(223\) | 4.93800e9 | − | 4.14348e9i | 0.133715 | − | 0.112200i | −0.573477 | − | 0.819221i | \(-0.694406\pi\) |
0.707192 | + | 0.707021i | \(0.249962\pi\) | |||||||
\(224\) | 1.46935e9 | + | 2.54499e9i | 0.0389950 | + | 0.0675413i | ||||
\(225\) | 1.06471e10 | + | 7.19258e9i | 0.276955 | + | 0.187095i | ||||
\(226\) | −1.84010e10 | + | 3.18715e10i | −0.469196 | + | 0.812671i | ||||
\(227\) | 5.28046e8 | + | 2.99470e9i | 0.0131994 | + | 0.0748578i | 0.990696 | − | 0.136094i | \(-0.0434549\pi\) |
−0.977497 | + | 0.210952i | \(0.932344\pi\) | |||||||
\(228\) | −7.86055e9 | − | 2.40627e9i | −0.192640 | − | 0.0589709i | ||||
\(229\) | 1.65307e10 | − | 6.01668e9i | 0.397220 | − | 0.144576i | −0.135684 | − | 0.990752i | \(-0.543323\pi\) |
0.532904 | + | 0.846176i | \(0.321101\pi\) | |||||||
\(230\) | −7.23282e7 | + | 2.63253e7i | −0.00170425 | + | 0.000620295i | ||||
\(231\) | 2.11782e9 | − | 1.97349e9i | 0.0489367 | − | 0.0456017i | ||||
\(232\) | 9.10634e9 | + | 5.16446e10i | 0.206371 | + | 1.17039i | ||||
\(233\) | 2.16335e9 | − | 3.74704e9i | 0.0480868 | − | 0.0832887i | −0.840980 | − | 0.541066i | \(-0.818021\pi\) |
0.889067 | + | 0.457777i | \(0.151354\pi\) | |||||||
\(234\) | −4.00834e10 | − | 1.00242e10i | −0.873963 | − | 0.218565i | ||||
\(235\) | −1.75983e10 | − | 3.04812e10i | −0.376415 | − | 0.651969i | ||||
\(236\) | −2.21293e10 | + | 1.85687e10i | −0.464369 | + | 0.389651i | ||||
\(237\) | 3.59277e10 | − | 7.04500e10i | 0.739710 | − | 1.45049i | ||||
\(238\) | 3.30546e8 | − | 1.87462e9i | 0.00667783 | − | 0.0378719i | ||||
\(239\) | −5.29871e10 | − | 4.44615e10i | −1.05046 | − | 0.881442i | −0.0573191 | − | 0.998356i | \(-0.518255\pi\) |
−0.993142 | + | 0.116914i | \(0.962700\pi\) | |||||||
\(240\) | 4.12641e9 | − | 3.35083e10i | 0.0802826 | − | 0.651930i | ||||
\(241\) | −3.12649e10 | − | 1.13795e10i | −0.597007 | − | 0.217293i | 0.0258013 | − | 0.999667i | \(-0.491786\pi\) |
−0.622809 | + | 0.782374i | \(0.714008\pi\) | |||||||
\(242\) | 3.13677e10 | 0.587913 | ||||||||
\(243\) | −3.12551e10 | + | 4.44683e10i | −0.575034 | + | 0.818130i | ||||
\(244\) | 1.62778e10 | 0.293997 | ||||||||
\(245\) | 6.02499e10 | + | 2.19292e10i | 1.06834 | + | 0.388843i | ||||
\(246\) | 7.47689e9 | − | 6.07157e10i | 0.130171 | − | 1.05704i | ||||
\(247\) | −3.04285e10 | − | 2.55325e10i | −0.520169 | − | 0.436473i | ||||
\(248\) | −1.17416e10 | + | 6.65900e10i | −0.197104 | + | 1.11783i | ||||
\(249\) | −4.26708e9 | + | 8.36725e9i | −0.0703450 | + | 0.137939i | ||||
\(250\) | 2.98839e10 | − | 2.50756e10i | 0.483846 | − | 0.405995i | ||||
\(251\) | 1.43058e10 | + | 2.47784e10i | 0.227500 | + | 0.394042i | 0.957067 | − | 0.289868i | \(-0.0936114\pi\) |
−0.729566 | + | 0.683910i | \(0.760278\pi\) | |||||||
\(252\) | 2.53601e9 | + | 6.34218e8i | 0.0396140 | + | 0.00990686i | ||||
\(253\) | −3.32072e7 | + | 5.75166e7i | −0.000509554 | + | 0.000882573i | ||||
\(254\) | 1.25284e10 | + | 7.10522e10i | 0.188862 | + | 1.07109i | ||||
\(255\) | 2.12916e10 | − | 1.98405e10i | 0.315338 | − | 0.293848i | ||||
\(256\) | 5.56434e10 | − | 2.02525e10i | 0.809718 | − | 0.294713i | ||||
\(257\) | 1.28810e10 | − | 4.68831e9i | 0.184184 | − | 0.0670374i | −0.248282 | − | 0.968688i | \(-0.579866\pi\) |
0.432466 | + | 0.901650i | \(0.357644\pi\) | |||||||
\(258\) | −4.79222e10 | − | 1.46699e10i | −0.673361 | − | 0.206129i | ||||
\(259\) | −4.22624e8 | − | 2.39682e9i | −0.00583586 | − | 0.0330968i | ||||
\(260\) | −1.51907e10 | + | 2.63111e10i | −0.206157 | + | 0.357075i | ||||
\(261\) | 6.78196e10 | + | 4.58152e10i | 0.904634 | + | 0.611121i | ||||
\(262\) | 1.06213e10 | + | 1.83966e10i | 0.139258 | + | 0.241202i | ||||
\(263\) | 1.54430e10 | − | 1.29582e10i | 0.199036 | − | 0.167011i | −0.537822 | − | 0.843058i | \(-0.680753\pi\) |
0.736858 | + | 0.676047i | \(0.236308\pi\) | |||||||
\(264\) | −2.49322e10 | − | 3.84221e10i | −0.315895 | − | 0.486814i | ||||
\(265\) | 2.27373e10 | − | 1.28950e11i | 0.283226 | − | 1.60625i | ||||
\(266\) | −3.99055e9 | − | 3.34847e9i | −0.0488726 | − | 0.0410090i | ||||
\(267\) | −7.00306e10 | + | 2.96968e10i | −0.843310 | + | 0.357609i | ||||
\(268\) | −3.62742e10 | − | 1.32027e10i | −0.429528 | − | 0.156335i | ||||
\(269\) | −1.53806e10 | −0.179096 | −0.0895481 | − | 0.995982i | \(-0.528542\pi\) | ||||
−0.0895481 | + | 0.995982i | \(0.528542\pi\) | |||||||
\(270\) | −5.20671e10 | − | 6.44381e10i | −0.596247 | − | 0.737914i | ||||
\(271\) | 5.60281e10 | 0.631022 | 0.315511 | − | 0.948922i | \(-0.397824\pi\) | ||||
0.315511 | + | 0.948922i | \(0.397824\pi\) | |||||||
\(272\) | −1.80007e10 | − | 6.55174e9i | −0.199402 | − | 0.0725766i | ||||
\(273\) | 1.00851e10 | + | 7.60529e9i | 0.109887 | + | 0.0828674i | ||||
\(274\) | 4.43746e10 | + | 3.72347e10i | 0.475617 | + | 0.399090i | ||||
\(275\) | −2.93435e9 | + | 1.66415e10i | −0.0309396 | + | 0.175467i | ||||
\(276\) | −5.98938e7 | + | 3.11752e6i | −0.000621286 | + | 3.23384e-5i | ||||
\(277\) | 1.30917e11 | − | 1.09852e11i | 1.33609 | − | 1.12111i | 0.353478 | − | 0.935443i | \(-0.384999\pi\) |
0.982612 | − | 0.185670i | \(-0.0594456\pi\) | |||||||
\(278\) | 1.48734e10 | + | 2.57615e10i | 0.149351 | + | 0.258684i | ||||
\(279\) | 6.19678e10 | + | 8.54193e10i | 0.612276 | + | 0.843989i | ||||
\(280\) | −8.11388e9 | + | 1.40537e10i | −0.0788892 | + | 0.136640i | ||||
\(281\) | −9.07283e9 | − | 5.14545e10i | −0.0868089 | − | 0.492318i | −0.996952 | − | 0.0780227i | \(-0.975139\pi\) |
0.910143 | − | 0.414295i | \(-0.135972\pi\) | |||||||
\(282\) | 1.27683e10 | + | 5.53955e10i | 0.120230 | + | 0.521620i | ||||
\(283\) | 6.89819e10 | − | 2.51073e10i | 0.639287 | − | 0.232681i | −0.00198143 | − | 0.999998i | \(-0.500631\pi\) |
0.641268 | + | 0.767317i | \(0.278408\pi\) | |||||||
\(284\) | −4.43199e10 | + | 1.61311e10i | −0.404265 | + | 0.147140i | ||||
\(285\) | −1.78884e10 | − | 7.76092e10i | −0.160609 | − | 0.696805i | ||||
\(286\) | −9.43593e9 | − | 5.35138e10i | −0.0833946 | − | 0.472954i | ||||
\(287\) | −9.35081e9 | + | 1.61961e10i | −0.0813543 | + | 0.140910i | ||||
\(288\) | 2.95631e10 | − | 6.62728e10i | 0.253212 | − | 0.567635i | ||||
\(289\) | 5.10375e10 | + | 8.83996e10i | 0.430377 | + | 0.745435i | ||||
\(290\) | −9.55609e10 | + | 8.01851e10i | −0.793395 | + | 0.665737i | ||||
\(291\) | −1.00041e10 | + | 5.20721e8i | −0.0817823 | + | 0.00425683i | ||||
\(292\) | 1.32677e10 | − | 7.52448e10i | 0.106800 | − | 0.605694i | ||||
\(293\) | −1.75418e10 | − | 1.47193e10i | −0.139050 | − | 0.116676i | 0.570610 | − | 0.821221i | \(-0.306707\pi\) |
−0.709660 | + | 0.704545i | \(0.751151\pi\) | |||||||
\(294\) | −8.26829e10 | − | 6.23522e10i | −0.645436 | − | 0.486731i | ||||
\(295\) | −2.62996e11 | − | 9.57226e10i | −2.02185 | − | 0.735894i | ||||
\(296\) | −3.85084e10 | −0.291570 | ||||||||
\(297\) | −7.01554e10 | − | 1.37146e10i | −0.523188 | − | 0.102277i | ||||
\(298\) | −8.88769e9 | −0.0652853 | ||||||||
\(299\) | −2.72319e8 | − | 9.91161e7i | −0.00197042 | − | 0.000717173i | ||||
\(300\) | −1.40489e10 | + | 5.95748e9i | −0.100137 | + | 0.0424636i | ||||
\(301\) | 1.17368e10 | + | 9.84838e9i | 0.0824142 | + | 0.0691537i | ||||
\(302\) | −2.23731e10 | + | 1.26884e11i | −0.154773 | + | 0.877761i | ||||
\(303\) | 1.10730e10 | + | 1.70643e10i | 0.0754700 | + | 0.116304i | ||||
\(304\) | −4.01584e10 | + | 3.36969e10i | −0.269678 | + | 0.226287i | ||||
\(305\) | 7.88527e10 | + | 1.36577e11i | 0.521756 | + | 0.903708i | ||||
\(306\) | −4.22630e10 | + | 2.05758e10i | −0.275559 | + | 0.134156i | ||||
\(307\) | −2.68079e9 | + | 4.64326e9i | −0.0172242 | + | 0.0298333i | −0.874509 | − | 0.485009i | \(-0.838816\pi\) |
0.857285 | + | 0.514842i | \(0.172150\pi\) | |||||||
\(308\) | 5.96997e8 | + | 3.38574e9i | 0.00378002 | + | 0.0214375i | ||||
\(309\) | 1.90278e11 | + | 5.82478e10i | 1.18734 | + | 0.363468i | ||||
\(310\) | −1.51146e11 | + | 5.50126e10i | −0.929541 | + | 0.338325i | ||||
\(311\) | 6.13619e9 | − | 2.23339e9i | 0.0371944 | − | 0.0135376i | −0.323356 | − | 0.946277i | \(-0.604811\pi\) |
0.360550 | + | 0.932740i | \(0.382589\pi\) | |||||||
\(312\) | 1.46215e11 | − | 1.36250e11i | 0.873565 | − | 0.814031i | ||||
\(313\) | 4.11967e10 | + | 2.33638e11i | 0.242612 | + | 1.37592i | 0.825973 | + | 0.563709i | \(0.190626\pi\) |
−0.583361 | + | 0.812213i | \(0.698263\pi\) | |||||||
\(314\) | 6.73333e10 | − | 1.16625e11i | 0.390883 | − | 0.677029i | ||||
\(315\) | 6.96359e9 | + | 2.43503e10i | 0.0398507 | + | 0.139350i | ||||
\(316\) | 4.69606e10 | + | 8.13381e10i | 0.264936 | + | 0.458883i | ||||
\(317\) | 2.09537e11 | − | 1.75822e11i | 1.16545 | − | 0.977929i | 0.165485 | − | 0.986212i | \(-0.447081\pi\) |
0.999966 | + | 0.00828314i | \(0.00263663\pi\) | |||||||
\(318\) | −9.60798e10 | + | 1.88401e11i | −0.526878 | + | 1.03315i | ||||
\(319\) | −1.86912e10 | + | 1.06003e11i | −0.101060 | + | 0.573139i | ||||
\(320\) | 1.79113e11 | + | 1.50294e11i | 0.954889 | + | 0.801247i | ||||
\(321\) | −3.90289e10 | + | 3.16932e11i | −0.205170 | + | 1.66607i | ||||
\(322\) | −3.57134e7 | − | 1.29986e7i | −0.000185131 | − | 6.73822e-5i | ||||
\(323\) | −4.51896e10 | −0.231008 | ||||||||
\(324\) | −2.40965e10 | − | 5.98864e10i | −0.121479 | − | 0.301908i | ||||
\(325\) | −7.37347e10 | −0.366604 | ||||||||
\(326\) | −2.58723e11 | − | 9.41674e10i | −1.26869 | − | 0.461765i | ||||
\(327\) | 1.29730e10 | − | 1.05347e11i | 0.0627445 | − | 0.509514i | ||||
\(328\) | 2.26676e11 | + | 1.90204e11i | 1.08137 | + | 0.907374i | ||||
\(329\) | 3.01783e9 | − | 1.71150e10i | 0.0142008 | − | 0.0805369i | ||||
\(330\) | 4.94985e10 | − | 9.70608e10i | 0.229763 | − | 0.450538i | ||||
\(331\) | −1.45802e11 | + | 1.22342e11i | −0.667631 | + | 0.560209i | −0.912363 | − | 0.409382i | \(-0.865744\pi\) |
0.244732 | + | 0.969591i | \(0.421300\pi\) | |||||||
\(332\) | −5.57744e9 | − | 9.66041e9i | −0.0251950 | − | 0.0436389i | ||||
\(333\) | −4.17795e10 | + | 4.32023e10i | −0.186193 | + | 0.192534i | ||||
\(334\) | 1.64724e11 | − | 2.85310e11i | 0.724264 | − | 1.25446i | ||||
\(335\) | −6.49430e10 | − | 3.68310e11i | −0.281729 | − | 1.59776i | ||||
\(336\) | 1.21959e10 | − | 1.13648e10i | 0.0522021 | − | 0.0486445i | ||||
\(337\) | −2.47427e11 | + | 9.00562e10i | −1.04499 | + | 0.380346i | −0.806771 | − | 0.590865i | \(-0.798787\pi\) |
−0.238221 | + | 0.971211i | \(0.576564\pi\) | |||||||
\(338\) | 3.76152e10 | − | 1.36908e10i | 0.156761 | − | 0.0570564i | ||||
\(339\) | −2.65656e11 | − | 8.13225e10i | −1.09250 | − | 0.334435i | ||||
\(340\) | 6.00193e9 | + | 3.40386e10i | 0.0243577 | + | 0.138139i | ||||
\(341\) | −6.93938e10 | + | 1.20194e11i | −0.277924 | + | 0.481378i | ||||
\(342\) | −9.06466e9 | + | 1.28318e11i | −0.0358289 | + | 0.507188i | ||||
\(343\) | 3.19120e10 | + | 5.52731e10i | 0.124489 | + | 0.215621i | ||||
\(344\) | 1.85705e11 | − | 1.55825e11i | 0.715007 | − | 0.599962i | ||||
\(345\) | −3.16294e8 | − | 4.87429e8i | −0.00120200 | − | 0.00185236i | ||||
\(346\) | −3.87639e10 | + | 2.19841e11i | −0.145407 | + | 0.824644i | ||||
\(347\) | −1.87218e11 | − | 1.57095e11i | −0.693210 | − | 0.581673i | 0.226623 | − | 0.973983i | \(-0.427232\pi\) |
−0.919833 | + | 0.392310i | \(0.871676\pi\) | |||||||
\(348\) | −8.94882e10 | + | 3.79479e10i | −0.327084 | + | 0.138701i | ||||
\(349\) | −1.11185e11 | − | 4.04679e10i | −0.401172 | − | 0.146015i | 0.133551 | − | 0.991042i | \(-0.457362\pi\) |
−0.534723 | + | 0.845027i | \(0.679584\pi\) | |||||||
\(350\) | −9.66996e9 | −0.0344444 | ||||||||
\(351\) | 5.77674e9 | − | 3.11861e11i | 0.0203142 | − | 1.09668i | ||||
\(352\) | 9.54377e10 | 0.331343 | ||||||||
\(353\) | 8.80596e10 | + | 3.20511e10i | 0.301850 | + | 0.109864i | 0.488505 | − | 0.872561i | \(-0.337542\pi\) |
−0.186655 | + | 0.982425i | \(0.559765\pi\) | |||||||
\(354\) | 3.60918e11 | + | 2.72173e11i | 1.22150 | + | 0.921149i | ||||
\(355\) | −3.50039e11 | − | 2.93718e11i | −1.16974 | − | 0.981528i | ||||
\(356\) | 1.56874e10 | − | 8.89676e10i | 0.0517638 | − | 0.293567i | ||||
\(357\) | 1.43507e10 | − | 7.46963e8i | 0.0467590 | − | 0.00243384i | ||||
\(358\) | 3.06977e11 | − | 2.57584e11i | 0.987717 | − | 0.828793i | ||||
\(359\) | −8.91130e10 | − | 1.54348e11i | −0.283150 | − | 0.490430i | 0.689009 | − | 0.724753i | \(-0.258046\pi\) |
−0.972159 | + | 0.234323i | \(0.924713\pi\) | |||||||
\(360\) | 3.98560e11 | − | 4.16034e10i | 1.25064 | − | 0.130547i | ||||
\(361\) | 9.95100e10 | − | 1.72356e11i | 0.308379 | − | 0.534128i | ||||
\(362\) | −7.09716e10 | − | 4.02500e11i | −0.217218 | − | 1.23190i | ||||
\(363\) | 5.31861e10 | + | 2.30749e11i | 0.160775 | + | 0.697525i | ||||
\(364\) | −1.40967e10 | + | 5.13078e9i | −0.0420883 | + | 0.0153189i | ||||
\(365\) | 6.95602e11 | − | 2.53178e11i | 2.05136 | − | 0.746636i | ||||
\(366\) | −5.72108e10 | − | 2.48210e11i | −0.166653 | − | 0.723027i | ||||
\(367\) | −2.64512e10 | − | 1.50012e11i | −0.0761111 | − | 0.431647i | −0.998923 | − | 0.0463968i | \(-0.985226\pi\) |
0.922812 | − | 0.385251i | \(-0.125885\pi\) | |||||||
\(368\) | −1.91231e8 | + | 3.31222e8i | −0.000543554 | + | 0.000941464i | ||||
\(369\) | 4.59318e11 | − | 4.79457e10i | 1.28972 | − | 0.134627i | ||||
\(370\) | −4.58014e10 | − | 7.93303e10i | −0.127049 | − | 0.220055i | ||||
\(371\) | 4.95274e10 | − | 4.15585e10i | 0.135726 | − | 0.113888i | ||||
\(372\) | −1.25161e11 | + | 6.51475e9i | −0.338865 | + | 0.0176382i | ||||
\(373\) | −1.18121e11 | + | 6.69899e11i | −0.315965 | + | 1.79193i | 0.250793 | + | 0.968041i | \(0.419309\pi\) |
−0.566758 | + | 0.823884i | \(0.691802\pi\) | |||||||
\(374\) | −4.73566e10 | − | 3.97369e10i | −0.125158 | − | 0.105020i | ||||
\(375\) | 2.35133e11 | + | 1.77317e11i | 0.614006 | + | 0.463029i | ||||
\(376\) | −2.58394e11 | − | 9.40478e10i | −0.666711 | − | 0.242663i | ||||
\(377\) | −4.69674e11 | −1.19746 | ||||||||
\(378\) | 7.57592e8 | − | 4.08991e10i | 0.00190863 | − | 0.103039i | ||||
\(379\) | −1.34945e11 | −0.335954 | −0.167977 | − | 0.985791i | \(-0.553723\pi\) | ||||
−0.167977 | + | 0.985791i | \(0.553723\pi\) | |||||||
\(380\) | 8.88841e10 | + | 3.23512e10i | 0.218674 | + | 0.0795910i | ||||
\(381\) | −5.01436e11 | + | 2.12636e11i | −1.21914 | + | 0.516982i | ||||
\(382\) | 6.36589e10 | + | 5.34161e10i | 0.152959 | + | 0.128347i | ||||
\(383\) | −6.63858e10 | + | 3.76492e11i | −0.157645 | + | 0.894050i | 0.798683 | + | 0.601753i | \(0.205531\pi\) |
−0.956328 | + | 0.292297i | \(0.905580\pi\) | |||||||
\(384\) | −6.14114e10 | − | 9.46390e10i | −0.144131 | − | 0.222116i | ||||
\(385\) | −2.55156e10 | + | 2.14101e10i | −0.0591878 | + | 0.0496645i | ||||
\(386\) | −2.62744e11 | − | 4.55087e11i | −0.602408 | − | 1.04340i | ||||
\(387\) | 2.66606e10 | − | 3.77402e11i | 0.0604185 | − | 0.855273i | ||||
\(388\) | 5.94867e9 | − | 1.03034e10i | 0.0133253 | − | 0.0230801i | ||||
\(389\) | 7.26294e10 | + | 4.11902e11i | 0.160820 | + | 0.912054i | 0.953270 | + | 0.302118i | \(0.0976937\pi\) |
−0.792451 | + | 0.609936i | \(0.791195\pi\) | |||||||
\(390\) | 4.54591e11 | + | 1.39160e11i | 0.995017 | + | 0.304595i | ||||
\(391\) | −3.09806e8 | + | 1.12760e8i | −0.000670339 | + | 0.000243984i | ||||
\(392\) | 4.70708e11 | − | 1.71324e11i | 1.00685 | − | 0.366463i | ||||
\(393\) | −1.17321e11 | + | 1.09326e11i | −0.248090 | + | 0.231183i | ||||
\(394\) | −5.41761e10 | − | 3.07248e11i | −0.113260 | − | 0.642327i | ||||
\(395\) | −4.54971e11 | + | 7.88033e11i | −0.940365 | + | 1.62876i | ||||
\(396\) | 5.90175e10 | − | 6.10274e10i | 0.120601 | − | 0.124709i | ||||
\(397\) | 2.77084e11 | + | 4.79923e11i | 0.559827 | + | 0.969649i | 0.997510 | + | 0.0705199i | \(0.0224658\pi\) |
−0.437683 | + | 0.899129i | \(0.644201\pi\) | |||||||
\(398\) | −4.08889e11 | + | 3.43099e11i | −0.816830 | + | 0.685401i | ||||
\(399\) | 1.78660e10 | − | 3.50331e10i | 0.0352898 | − | 0.0691992i | ||||
\(400\) | −1.68981e10 | + | 9.58339e10i | −0.0330041 | + | 0.187176i | ||||
\(401\) | 7.45020e10 | + | 6.25146e10i | 0.143886 | + | 0.120735i | 0.711890 | − | 0.702291i | \(-0.247840\pi\) |
−0.568004 | + | 0.823026i | \(0.692284\pi\) | |||||||
\(402\) | −7.38291e10 | + | 5.99525e11i | −0.140997 | + | 1.14496i | ||||
\(403\) | −5.69071e11 | − | 2.07125e11i | −1.07472 | − | 0.391165i | ||||
\(404\) | −2.41591e10 | −0.0451195 | ||||||||
\(405\) | 3.85740e11 | − | 4.92279e11i | 0.712439 | − | 0.909208i | ||||
\(406\) | −6.15956e10 | −0.112508 | ||||||||
\(407\) | −7.42736e10 | − | 2.70334e10i | −0.134171 | − | 0.0488344i | ||||
\(408\) | 2.77897e10 | − | 2.25664e11i | 0.0496492 | − | 0.403174i | ||||
\(409\) | 2.35442e11 | + | 1.97559e11i | 0.416033 | + | 0.349093i | 0.826652 | − | 0.562714i | \(-0.190243\pi\) |
−0.410618 | + | 0.911807i | \(0.634687\pi\) | |||||||
\(410\) | −1.22229e11 | + | 6.93195e11i | −0.213622 | + | 1.21151i | ||||
\(411\) | −1.98668e11 | + | 3.89566e11i | −0.343432 | + | 0.673430i | ||||
\(412\) | −1.81041e11 | + | 1.51912e11i | −0.309556 | + | 0.259749i | ||||
\(413\) | −6.90965e10 | − | 1.19679e11i | −0.116864 | − | 0.202414i | ||||
\(414\) | 2.58043e8 | + | 9.02326e8i | 0.000431708 | + | 0.00150960i | ||||
\(415\) | 5.40362e10 | − | 9.35935e10i | 0.0894270 | − | 0.154892i | ||||
\(416\) | 7.23136e10 | + | 4.10111e11i | 0.118386 | + | 0.671400i | ||||
\(417\) | −1.64289e11 | + | 1.53093e11i | −0.266071 | + | 0.247938i | ||||
\(418\) | −1.58975e11 | + | 5.78623e10i | −0.254705 | + | 0.0927049i | ||||
\(419\) | 7.46444e11 | − | 2.71683e11i | 1.18313 | − | 0.430626i | 0.325827 | − | 0.945430i | \(-0.394357\pi\) |
0.857308 | + | 0.514804i | \(0.172135\pi\) | |||||||
\(420\) | −2.87613e10 | − | 8.80440e9i | −0.0451010 | − | 0.0138063i | ||||
\(421\) | −6.14953e10 | − | 3.48757e11i | −0.0954053 | − | 0.541070i | −0.994622 | − | 0.103568i | \(-0.966974\pi\) |
0.899217 | − | 0.437503i | \(-0.144137\pi\) | |||||||
\(422\) | −9.83421e10 | + | 1.70334e11i | −0.150950 | + | 0.261453i | ||||
\(423\) | −3.85855e11 | + | 1.87854e11i | −0.585993 | + | 0.285291i | ||||
\(424\) | −5.11486e11 | − | 8.85920e11i | −0.768577 | − | 1.33121i | ||||
\(425\) | −6.42596e10 | + | 5.39202e10i | −0.0955405 | + | 0.0801680i | ||||
\(426\) | 4.01742e11 | + | 6.19111e11i | 0.591022 | + | 0.910804i | ||||
\(427\) | −1.35220e10 | + | 7.66869e10i | −0.0196841 | + | 0.111634i | ||||
\(428\) | −2.90518e11 | − | 2.43773e11i | −0.418481 | − | 0.351147i | ||||
\(429\) | 3.77663e11 | − | 1.60150e11i | 0.538327 | − | 0.228280i | ||||
\(430\) | 5.41886e11 | + | 1.97230e11i | 0.764363 | + | 0.278205i | ||||
\(431\) | −4.28096e11 | −0.597576 | −0.298788 | − | 0.954319i | \(-0.596582\pi\) | ||||
−0.298788 | + | 0.954319i | \(0.596582\pi\) | |||||||
\(432\) | −4.04006e11 | − | 7.89786e10i | −0.558098 | − | 0.109102i | ||||
\(433\) | 1.26300e12 | 1.72666 | 0.863330 | − | 0.504639i | \(-0.168375\pi\) | ||||
0.863330 | + | 0.504639i | \(0.168375\pi\) | |||||||
\(434\) | −7.46310e10 | − | 2.71635e10i | −0.100975 | − | 0.0367520i | ||||
\(435\) | −7.51893e11 | − | 5.67012e11i | −1.00683 | − | 0.759260i | ||||
\(436\) | 9.65667e10 | + | 8.10291e10i | 0.127979 | + | 0.107387i | ||||
\(437\) | −1.56672e8 | + | 8.88533e8i | −0.000205507 | + | 0.00116549i | ||||
\(438\) | −1.19399e12 | + | 6.21482e10i | −1.55013 | + | 0.0806854i | ||||
\(439\) | 6.80449e11 | − | 5.70965e11i | 0.874390 | − | 0.733701i | −0.0906275 | − | 0.995885i | \(-0.528887\pi\) |
0.965018 | + | 0.262184i | \(0.0844428\pi\) | |||||||
\(440\) | 2.63508e11 | + | 4.56409e11i | 0.335163 | + | 0.580520i | ||||
\(441\) | 3.18485e11 | − | 7.13960e11i | 0.400973 | − | 0.898877i | ||||
\(442\) | 1.34874e11 | − | 2.33608e11i | 0.168084 | − | 0.291130i | ||||
\(443\) | −4.14262e9 | − | 2.34940e10i | −0.00511044 | − | 0.0289827i | 0.982146 | − | 0.188121i | \(-0.0602396\pi\) |
−0.987256 | + | 0.159138i | \(0.949129\pi\) | |||||||
\(444\) | −1.60315e10 | − | 6.95530e10i | −0.0195772 | − | 0.0849361i | ||||
\(445\) | 8.22463e11 | − | 2.99352e11i | 0.994252 | − | 0.361878i | ||||
\(446\) | 1.12572e11 | − | 4.09729e10i | 0.134718 | − | 0.0490332i | ||||
\(447\) | −1.50697e10 | − | 6.53802e10i | −0.0178534 | − | 0.0774573i | ||||
\(448\) | 2.00478e10 | + | 1.13697e11i | 0.0235134 | + | 0.133351i | ||||
\(449\) | 2.17348e11 | − | 3.76458e11i | 0.252375 | − | 0.437127i | −0.711804 | − | 0.702378i | \(-0.752122\pi\) |
0.964179 | + | 0.265251i | \(0.0854549\pi\) | |||||||
\(450\) | 1.40219e11 | + | 1.93283e11i | 0.161194 | + | 0.222197i | ||||
\(451\) | 3.03679e11 | + | 5.25987e11i | 0.345637 | + | 0.598660i | ||||
\(452\) | 2.52760e11 | − | 2.12091e11i | 0.284830 | − | 0.239001i | ||||
\(453\) | −9.71329e11 | + | 5.05584e10i | −1.08374 | + | 0.0564094i | ||||
\(454\) | −9.81341e9 | + | 5.56546e10i | −0.0108410 | + | 0.0614823i | ||||
\(455\) | −1.11336e11 | − | 9.34221e10i | −0.121782 | − | 0.102188i | ||||
\(456\) | −4.96799e11 | − | 3.74643e11i | −0.538071 | − | 0.405766i | ||||
\(457\) | 1.03488e12 | + | 3.76664e11i | 1.10985 | + | 0.403954i | 0.830940 | − | 0.556362i | \(-0.187803\pi\) |
0.278914 | + | 0.960316i | \(0.410026\pi\) | |||||||
\(458\) | 3.26929e11 | 0.347183 | ||||||||
\(459\) | −2.23021e11 | − | 2.76010e11i | −0.234525 | − | 0.290247i | ||||
\(460\) | 6.90087e8 | 0.000718611 | ||||||||
\(461\) | −6.56893e10 | − | 2.39090e10i | −0.0677393 | − | 0.0246551i | 0.307928 | − | 0.951410i | \(-0.400364\pi\) |
−0.375668 | + | 0.926754i | \(0.622587\pi\) | |||||||
\(462\) | 4.95287e10 | − | 2.10029e10i | 0.0505787 | − | 0.0214482i | ||||
\(463\) | −4.84959e11 | − | 4.06929e11i | −0.490445 | − | 0.411532i | 0.363741 | − | 0.931500i | \(-0.381499\pi\) |
−0.854186 | + | 0.519968i | \(0.825944\pi\) | |||||||
\(464\) | −1.07637e11 | + | 6.10441e11i | −0.107803 | + | 0.611383i | ||||
\(465\) | −6.60965e11 | − | 1.01859e12i | −0.655602 | − | 1.01033i | ||||
\(466\) | 6.15969e10 | − | 5.16860e10i | 0.0605094 | − | 0.0507734i | ||||
\(467\) | 5.33198e11 | + | 9.23527e11i | 0.518756 | + | 0.898511i | 0.999762 | + | 0.0217944i | \(0.00693792\pi\) |
−0.481007 | + | 0.876717i | \(0.659729\pi\) | |||||||
\(468\) | 3.06962e11 | + | 2.07367e11i | 0.295787 | + | 0.199817i | ||||
\(469\) | 9.23327e10 | − | 1.59925e11i | 0.0881207 | − | 0.152629i | ||||
\(470\) | −1.13585e11 | − | 6.44171e11i | −0.107369 | − | 0.608921i | ||||
\(471\) | 9.72091e11 | + | 2.97576e11i | 0.910150 | + | 0.278615i | ||||
\(472\) | −2.05468e12 | + | 7.47842e11i | −1.90548 | + | 0.693539i | ||||
\(473\) | 4.67571e11 | − | 1.70182e11i | 0.429509 | − | 0.156329i | ||||
\(474\) | 1.07522e12 | − | 1.00195e12i | 0.978354 | − | 0.911679i | ||||
\(475\) | 3.98632e10 | + | 2.26075e11i | 0.0359294 | + | 0.203766i | ||||
\(476\) | −8.53324e9 | + | 1.47800e10i | −0.00761873 | + | 0.0131960i | ||||
\(477\) | −1.54884e12 | − | 3.87341e11i | −1.36985 | − | 0.342579i | ||||
\(478\) | −6.42739e11 | − | 1.11326e12i | −0.563130 | − | 0.975370i | ||||
\(479\) | 5.72842e11 | − | 4.80671e11i | 0.497193 | − | 0.417194i | −0.359403 | − | 0.933182i | \(-0.617020\pi\) |
0.856596 | + | 0.515988i | \(0.172575\pi\) | |||||||
\(480\) | −3.79339e11 | + | 7.43840e11i | −0.326168 | + | 0.639578i | ||||
\(481\) | 5.98893e10 | − | 3.39649e11i | 0.0510148 | − | 0.289319i | ||||
\(482\) | −4.73666e11 | − | 3.97453e11i | −0.399724 | − | 0.335409i | ||||
\(483\) | 3.50667e7 | − | 2.84757e8i | 2.93179e−5 | − | 0.000238074i | ||||
\(484\) | −2.64271e11 | − | 9.61870e10i | −0.218900 | − | 0.0796732i | ||||
\(485\) | 1.15266e11 | 0.0945936 | ||||||||
\(486\) | −8.28478e11 | + | 5.77911e11i | −0.673624 | + | 0.469892i | ||||
\(487\) | 6.87914e11 | 0.554184 | 0.277092 | − | 0.960843i | \(-0.410629\pi\) | ||||
0.277092 | + | 0.960843i | \(0.410629\pi\) | |||||||
\(488\) | 1.15778e12 | + | 4.21399e11i | 0.924141 | + | 0.336360i | ||||
\(489\) | 2.54038e11 | − | 2.06290e12i | 0.200913 | − | 1.63151i | ||||
\(490\) | 9.12793e11 | + | 7.65924e11i | 0.715303 | + | 0.600210i | ||||
\(491\) | −3.57819e11 | + | 2.02929e12i | −0.277841 | + | 1.57572i | 0.451948 | + | 0.892045i | \(0.350729\pi\) |
−0.729789 | + | 0.683672i | \(0.760382\pi\) | |||||||
\(492\) | −2.49173e11 | + | 4.88600e11i | −0.191716 | + | 0.375933i | ||||
\(493\) | −4.09320e11 | + | 3.43460e11i | −0.312070 | + | 0.261858i | ||||
\(494\) | −3.69100e11 | − | 6.39300e11i | −0.278852 | − | 0.482985i | ||||
\(495\) | 7.97933e11 | + | 1.99551e11i | 0.597370 | + | 0.149393i | ||||
\(496\) | −3.99619e11 | + | 6.92161e11i | −0.296469 | + | 0.513499i | ||||
\(497\) | −3.91793e10 | − | 2.22197e11i | −0.0288040 | − | 0.163356i | ||||
\(498\) | −1.27703e11 | + | 1.19000e11i | −0.0930396 | + | 0.0866989i | ||||
\(499\) | 2.01988e12 | − | 7.35175e11i | 1.45839 | − | 0.530809i | 0.513466 | − | 0.858110i | \(-0.328361\pi\) |
0.944920 | + | 0.327300i | \(0.106139\pi\) | |||||||
\(500\) | −3.28663e11 | + | 1.19624e11i | −0.235172 | + | 0.0855957i | ||||
\(501\) | 2.37812e12 | + | 7.27989e11i | 1.68641 | + | 0.516244i | ||||
\(502\) | 9.23340e10 | + | 5.23652e11i | 0.0648925 | + | 0.368024i | ||||
\(503\) | −7.52953e10 | + | 1.30415e11i | −0.0524460 | + | 0.0908391i | −0.891057 | − | 0.453892i | \(-0.850035\pi\) |
0.838611 | + | 0.544731i | \(0.183368\pi\) | |||||||
\(504\) | 1.63959e11 | + | 1.10762e11i | 0.113187 | + | 0.0764632i | ||||
\(505\) | −1.17031e11 | − | 2.02703e11i | −0.0800735 | − | 0.138691i | ||||
\(506\) | −9.45506e8 | + | 7.93373e8i | −0.000641190 | + | 0.000538022i | ||||
\(507\) | 1.64493e11 | + | 2.53494e11i | 0.110563 | + | 0.170385i | ||||
\(508\) | 1.12326e11 | − | 6.37030e11i | 0.0748328 | − | 0.424398i | ||||
\(509\) | −1.00277e12 | − | 8.41426e11i | −0.662174 | − | 0.555630i | 0.248563 | − | 0.968616i | \(-0.420042\pi\) |
−0.910738 | + | 0.412985i | \(0.864486\pi\) | |||||||
\(510\) | 4.97939e11 | − | 2.11153e11i | 0.325919 | − | 0.138208i | ||||
\(511\) | 3.43466e11 | + | 1.25011e11i | 0.222838 | + | 0.0811065i | ||||
\(512\) | 1.51218e12 | 0.972501 | ||||||||
\(513\) | −9.59308e11 | + | 1.50889e11i | −0.611547 | + | 0.0961901i | ||||
\(514\) | 2.54749e11 | 0.160982 | ||||||||
\(515\) | −2.15159e12 | − | 7.83114e11i | −1.34780 | − | 0.490561i | ||||
\(516\) | 3.58758e11 | + | 2.70544e11i | 0.222781 | + | 0.168002i | ||||
\(517\) | −4.32358e11 | − | 3.62792e11i | −0.266156 | − | 0.223332i | ||||
\(518\) | 7.85420e9 | − | 4.45434e10i | 0.00479312 | − | 0.0271831i | ||||
\(519\) | −1.68294e12 | + | 8.75982e10i | −1.01816 | + | 0.0529958i | ||||
\(520\) | −1.76160e12 | + | 1.47816e12i | −1.05656 | + | 0.886556i | ||||
\(521\) | −5.73452e10 | − | 9.93248e10i | −0.0340979 | − | 0.0590593i | 0.848473 | − | 0.529239i | \(-0.177522\pi\) |
−0.882571 | + | 0.470180i | \(0.844189\pi\) | |||||||
\(522\) | 8.93162e11 | + | 1.23117e12i | 0.526518 | + | 0.725775i | ||||
\(523\) | −1.53405e12 | + | 2.65706e12i | −0.896566 | + | 1.55290i | −0.0647127 | + | 0.997904i | \(0.520613\pi\) |
−0.831854 | + | 0.554995i | \(0.812720\pi\) | |||||||
\(524\) | −3.30719e10 | − | 1.87560e11i | −0.0191632 | − | 0.108680i | ||||
\(525\) | −1.63961e10 | − | 7.11348e10i | −0.00941940 | − | 0.0408663i | ||||
\(526\) | 3.52056e11 | − | 1.28138e11i | 0.200529 | − | 0.0729865i | ||||
\(527\) | −6.47409e11 | + | 2.35638e11i | −0.365621 | + | 0.133075i | ||||
\(528\) | −1.21598e11 | − | 5.27555e11i | −0.0680884 | − | 0.295403i | ||||
\(529\) | −3.12766e11 | − | 1.77378e12i | −0.173648 | − | 0.984804i | ||||
\(530\) | 1.21671e12 | − | 2.10740e12i | 0.669800 | − | 1.16013i | ||||
\(531\) | −1.39021e12 | + | 3.11650e12i | −0.758850 | + | 1.70114i | ||||
\(532\) | 2.33524e10 | + | 4.04475e10i | 0.0126395 | + | 0.0218922i | ||||
\(533\) | −2.03015e12 | + | 1.70350e12i | −1.08957 | + | 0.914259i | ||||
\(534\) | −1.41175e12 | + | 7.34825e10i | −0.751313 | + | 0.0391064i | ||||
\(535\) | 6.38027e11 | − | 3.61843e12i | 0.336703 | − | 1.90954i | ||||
\(536\) | −2.23826e12 | − | 1.87813e12i | −1.17130 | − | 0.982841i | ||||
\(537\) | 2.41536e12 | + | 1.82145e12i | 1.25342 | + | 0.945222i | ||||
\(538\) | −2.68600e11 | − | 9.77623e10i | −0.138225 | − | 0.0503096i | ||||
\(539\) | 1.02815e12 | 0.524698 | ||||||||
\(540\) | 2.41068e11 | + | 7.02549e11i | 0.122002 | + | 0.355553i | ||||
\(541\) | −2.16618e12 | −1.08719 | −0.543597 | − | 0.839346i | \(-0.682938\pi\) | ||||
−0.543597 | + | 0.839346i | \(0.682938\pi\) | |||||||
\(542\) | 9.78453e11 | + | 3.56128e11i | 0.487016 | + | 0.177259i | ||||
\(543\) | 2.84056e12 | − | 1.20455e12i | 1.40218 | − | 0.594602i | ||||
\(544\) | 3.62924e11 | + | 3.04530e11i | 0.177673 | + | 0.149085i | ||||
\(545\) | −2.12077e11 | + | 1.20275e12i | −0.102970 | + | 0.583970i | ||||
\(546\) | 1.27781e11 | + | 1.96919e11i | 0.0615317 | + | 0.0948244i | ||||
\(547\) | −2.55652e12 | + | 2.14518e12i | −1.22098 | + | 1.02452i | −0.222202 | + | 0.975001i | \(0.571324\pi\) |
−0.998773 | + | 0.0495193i | \(0.984231\pi\) | |||||||
\(548\) | −2.59677e11 | − | 4.49773e11i | −0.123004 | − | 0.213050i | ||||
\(549\) | 1.72890e12 | − | 8.41715e11i | 0.812256 | − | 0.395448i | ||||
\(550\) | −1.57022e11 | + | 2.71970e11i | −0.0731691 | + | 0.126733i | ||||
\(551\) | 2.53920e11 | + | 1.44005e12i | 0.117358 | + | 0.665573i | ||||
\(552\) | −4.34074e9 | − | 1.32879e9i | −0.00198993 | − | 0.000609158i | ||||
\(553\) | −4.22204e11 | + | 1.53670e11i | −0.191982 | + | 0.0698756i | ||||
\(554\) | 2.98452e12 | − | 1.08628e12i | 1.34611 | − | 0.489944i | ||||
\(555\) | 5.05915e11 | − | 4.71437e11i | 0.226339 | − | 0.210914i | ||||
\(556\) | −4.63118e10 | − | 2.62648e11i | −0.0205521 | − | 0.116557i | ||||
\(557\) | −1.36006e12 | + | 2.35570e12i | −0.598702 | + | 1.03698i | 0.394311 | + | 0.918977i | \(0.370983\pi\) |
−0.993013 | + | 0.118006i | \(0.962350\pi\) | |||||||
\(558\) | 5.39237e11 | + | 1.88561e12i | 0.235465 | + | 0.823375i | ||||
\(559\) | 1.08558e12 | + | 1.88028e12i | 0.470229 | + | 0.814460i | ||||
\(560\) | −1.46937e11 | + | 1.23295e11i | −0.0631372 | + | 0.0529784i | ||||
\(561\) | 2.12019e11 | − | 4.15744e11i | 0.0903736 | − | 0.177212i | ||||
\(562\) | 1.68613e11 | − | 9.56250e11i | 0.0712979 | − | 0.404351i | ||||
\(563\) | −2.02498e12 | − | 1.69916e12i | −0.849441 | − | 0.712766i | 0.110225 | − | 0.993907i | \(-0.464843\pi\) |
−0.959667 | + | 0.281141i | \(0.909287\pi\) | |||||||
\(564\) | 6.22944e10 | − | 5.05859e11i | 0.0259235 | − | 0.210510i | ||||
\(565\) | 3.00393e12 | + | 1.09334e12i | 1.24014 | + | 0.451376i | ||||
\(566\) | 1.36426e12 | 0.558757 | ||||||||
\(567\) | 3.02149e11 | − | 6.37742e10i | 0.122771 | − | 0.0259132i | ||||
\(568\) | −3.56992e12 | −1.43910 | ||||||||
\(569\) | 1.25065e12 | + | 4.55200e11i | 0.500186 | + | 0.182053i | 0.579778 | − | 0.814775i | \(-0.303139\pi\) |
−0.0795917 | + | 0.996828i | \(0.525362\pi\) | |||||||
\(570\) | 1.80906e11 | − | 1.46904e12i | 0.0717822 | − | 0.582903i | ||||
\(571\) | −1.49100e12 | − | 1.25110e12i | −0.586969 | − | 0.492526i | 0.300258 | − | 0.953858i | \(-0.402927\pi\) |
−0.887227 | + | 0.461332i | \(0.847372\pi\) | |||||||
\(572\) | −8.45994e10 | + | 4.79787e11i | −0.0330434 | + | 0.187399i | ||||
\(573\) | −2.85005e11 | + | 5.58862e11i | −0.110448 | + | 0.216575i | ||||
\(574\) | −2.66245e11 | + | 2.23406e11i | −0.102371 | + | 0.0858996i | ||||
\(575\) | 8.37409e8 | + | 1.45043e9i | 0.000319471 | + | 0.000553341i | ||||
\(576\) | 1.98187e12 | − | 2.04937e12i | 0.750197 | − | 0.775745i | ||||
\(577\) | −8.98161e11 | + | 1.55566e12i | −0.337336 | + | 0.584283i | −0.983931 | − | 0.178550i | \(-0.942859\pi\) |
0.646595 | + | 0.762834i | \(0.276193\pi\) | |||||||
\(578\) | 3.29411e11 | + | 1.86818e12i | 0.122762 | + | 0.696216i | ||||
\(579\) | 2.90224e12 | − | 2.70445e12i | 1.07320 | − | 1.00006i | ||||
\(580\) | 1.05098e12 | − | 3.82525e11i | 0.385628 | − | 0.140357i | ||||
\(581\) | 5.01446e10 | − | 1.82511e10i | 0.0182571 | − | 0.00664504i | ||||
\(582\) | −1.78017e11 | − | 5.44946e10i | −0.0643145 | − | 0.0196879i | ||||
\(583\) | −3.64609e11 | − | 2.06780e12i | −0.130713 | − | 0.741310i | ||||
\(584\) | 2.89161e12 | − | 5.00842e12i | 1.02868 | − | 1.78173i | ||||
\(585\) | −2.52903e11 | + | 3.58005e12i | −0.0892797 | + | 1.26383i | ||||
\(586\) | −2.12783e11 | − | 3.68552e11i | −0.0745416 | − | 0.129110i | ||||
\(587\) | 3.44036e12 | − | 2.88680e12i | 1.19600 | − | 1.00357i | 0.196268 | − | 0.980550i | \(-0.437118\pi\) |
0.999735 | − | 0.0230158i | \(-0.00732681\pi\) | |||||||
\(588\) | 5.05402e11 | + | 7.78857e11i | 0.174357 | + | 0.268695i | ||||
\(589\) | −3.27401e11 | + | 1.85679e12i | −0.112089 | + | 0.635687i | ||||
\(590\) | −3.98442e12 | − | 3.34332e12i | −1.35373 | − | 1.13591i | ||||
\(591\) | 2.16834e12 | − | 9.19494e11i | 0.731111 | − | 0.310031i | ||||
\(592\) | −4.27721e11 | − | 1.55678e11i | −0.143124 | − | 0.0520929i | ||||
\(593\) | −2.68424e12 | −0.891407 | −0.445703 | − | 0.895181i | \(-0.647046\pi\) | ||||
−0.445703 | + | 0.895181i | \(0.647046\pi\) | |||||||
\(594\) | −1.13799e12 | − | 6.85431e11i | −0.375060 | − | 0.225904i | ||||
\(595\) | −1.65346e11 | −0.0540838 | ||||||||
\(596\) | 7.48784e10 | + | 2.72535e10i | 0.0243080 | + | 0.00884738i | ||||
\(597\) | −3.21722e12 | − | 2.42615e12i | −1.03657 | − | 0.781687i | ||||
\(598\) | −4.12567e9 | − | 3.46185e9i | −0.00131929 | − | 0.00110701i | ||||
\(599\) | 8.87977e10 | − | 5.03597e11i | 0.0281826 | − | 0.159832i | −0.967469 | − | 0.252991i | \(-0.918586\pi\) |
0.995651 | + | 0.0931597i | \(0.0296967\pi\) | |||||||
\(600\) | −1.15347e12 | + | 6.00391e10i | −0.363351 | + | 0.0189127i | ||||
\(601\) | 2.07245e12 | − | 1.73900e12i | 0.647962 | − | 0.543705i | −0.258490 | − | 0.966014i | \(-0.583225\pi\) |
0.906452 | + | 0.422309i | \(0.138780\pi\) | |||||||
\(602\) | 1.42369e11 | + | 2.46590e11i | 0.0441805 | + | 0.0765229i | ||||
\(603\) | −4.53545e12 | + | 4.73430e11i | −1.39699 | + | 0.145824i | ||||
\(604\) | 5.77575e11 | − | 1.00039e12i | 0.176580 | − | 0.305846i | ||||
\(605\) | −4.73135e11 | − | 2.68328e12i | −0.143577 | − | 0.814267i | ||||
\(606\) | 8.49105e10 | + | 3.68386e11i | 0.0255761 | + | 0.110963i | ||||
\(607\) | −4.72762e10 | + | 1.72071e10i | −0.0141349 | + | 0.00514470i | −0.349078 | − | 0.937094i | \(-0.613505\pi\) |
0.334943 | + | 0.942238i | \(0.391283\pi\) | |||||||
\(608\) | 1.21833e12 | − | 4.43436e11i | 0.361576 | − | 0.131603i | ||||
\(609\) | −1.04440e11 | − | 4.53113e11i | −0.0307671 | − | 0.133484i | ||||
\(610\) | 5.08938e11 | + | 2.88633e12i | 0.148827 | + | 0.844038i | ||||
\(611\) | 1.23137e12 | − | 2.13280e12i | 0.357441 | − | 0.619107i | ||||
\(612\) | 4.19159e11 | − | 4.37536e10i | 0.120781 | − | 0.0126076i | ||||
\(613\) | 6.02886e9 | + | 1.04423e10i | 0.00172450 | + | 0.00298692i | 0.866886 | − | 0.498506i | \(-0.166118\pi\) |
−0.865162 | + | 0.501493i | \(0.832784\pi\) | |||||||
\(614\) | −7.63299e10 | + | 6.40484e10i | −0.0216739 | + | 0.0181866i | ||||
\(615\) | −5.30657e12 | + | 2.76211e11i | −1.49581 | + | 0.0778580i | ||||
\(616\) | −4.51874e10 | + | 2.56270e11i | −0.0126446 | + | 0.0717109i | ||||
\(617\) | −3.43937e12 | − | 2.88597e12i | −0.955422 | − | 0.801694i | 0.0247802 | − | 0.999693i | \(-0.492111\pi\) |
−0.980202 | + | 0.197999i | \(0.936556\pi\) | |||||||
\(618\) | 2.95270e12 | + | 2.22667e12i | 0.814275 | + | 0.614054i | ||||
\(619\) | 6.52254e12 | + | 2.37401e12i | 1.78570 | + | 0.649942i | 0.999488 | + | 0.0319882i | \(0.0101839\pi\) |
0.786214 | + | 0.617954i | \(0.212038\pi\) | |||||||
\(620\) | 1.44209e12 | 0.391949 | ||||||||
\(621\) | −6.20022e9 | + | 3.42819e9i | −0.00167300 | + | 0.000925022i | ||||
\(622\) | 1.21356e11 | 0.0325091 | ||||||||
\(623\) | 4.06106e11 | + | 1.47811e11i | 0.108005 | + | 0.0393106i | ||||
\(624\) | 2.17485e12 | − | 9.22257e11i | 0.574248 | − | 0.243513i | ||||
\(625\) | −3.57248e12 | − | 2.99767e12i | −0.936504 | − | 0.785821i | ||||
\(626\) | −7.65614e11 | + | 4.34201e12i | −0.199262 | + | 1.13007i | ||||
\(627\) | −6.95204e11 | − | 1.07136e12i | −0.179642 | − | 0.276841i | ||||
\(628\) | −9.24903e11 | + | 7.76086e11i | −0.237289 | + | 0.199109i | ||||
\(629\) | −1.96183e11 | − | 3.39799e11i | −0.0499727 | − | 0.0865553i | ||||
\(630\) | −3.31671e10 | + | 4.69507e11i | −0.00838831 | + | 0.118743i | ||||
\(631\) | 2.17006e12 | − | 3.75865e12i | 0.544928 | − | 0.943843i | −0.453684 | − | 0.891163i | \(-0.649890\pi\) |
0.998611 | − | 0.0526798i | \(-0.0167763\pi\) | |||||||
\(632\) | 1.23447e12 | + | 7.00100e12i | 0.307788 | + | 1.74555i | ||||
\(633\) | −1.41976e12 | − | 4.34618e11i | −0.351479 | − | 0.107595i | ||||
\(634\) | 4.77684e12 | − | 1.73863e12i | 1.17419 | − | 0.427370i | ||||
\(635\) | 5.88904e12 | − | 2.14343e12i | 1.43735 | − | 0.523152i | ||||
\(636\) | 1.38719e12 | − | 1.29265e12i | 0.336185 | − | 0.313274i | ||||
\(637\) | 7.79039e11 | + | 4.41815e12i | 0.187470 | + | 1.06319i | ||||
\(638\) | −1.00019e12 | + | 1.73239e12i | −0.238996 | + | 0.413954i | ||||
\(639\) | −3.87316e12 | + | 4.00506e12i | −0.918992 | + | 0.950289i | ||||
\(640\) | 6.49057e11 | + | 1.12420e12i | 0.152923 | + | 0.264871i | ||||
\(641\) | −6.22809e12 | + | 5.22599e12i | −1.45712 | + | 1.22267i | −0.529942 | + | 0.848034i | \(0.677786\pi\) |
−0.927174 | + | 0.374631i | \(0.877769\pi\) | |||||||
\(642\) | −2.69608e12 | + | 5.28670e12i | −0.626361 | + | 1.22822i | ||||
\(643\) | −7.54498e11 | + | 4.27897e12i | −0.174064 | + | 0.987165i | 0.765155 | + | 0.643846i | \(0.222662\pi\) |
−0.939219 | + | 0.343319i | \(0.888449\pi\) | |||||||
\(644\) | 2.61025e8 | + | 2.19026e8i | 5.97991e−5 | + | 5.01774e-5i | ||||
\(645\) | −5.32073e11 | + | 4.32067e12i | −0.121047 | + | 0.982953i | ||||
\(646\) | −7.89173e11 | − | 2.87235e11i | −0.178290 | − | 0.0648921i | ||||
\(647\) | 5.86334e12 | 1.31545 | 0.657727 | − | 0.753256i | \(-0.271518\pi\) | ||||
0.657727 | + | 0.753256i | \(0.271518\pi\) | |||||||
\(648\) | −1.63567e11 | − | 4.88331e12i | −0.0364424 | − | 1.08799i | ||||
\(649\) | −4.48798e12 | −0.993002 | ||||||||
\(650\) | −1.28767e12 | − | 4.68675e11i | −0.282941 | − | 0.102982i | ||||
\(651\) | 7.32796e10 | − | 5.95063e11i | 0.0159907 | − | 0.129852i | ||||
\(652\) | 1.89097e12 | + | 1.58671e12i | 0.409799 | + | 0.343862i | ||||
\(653\) | −1.16333e12 | + | 6.59756e12i | −0.250376 | + | 1.41995i | 0.557293 | + | 0.830316i | \(0.311840\pi\) |
−0.807669 | + | 0.589636i | \(0.799271\pi\) | |||||||
\(654\) | 8.96163e11 | − | 1.75727e12i | 0.191552 | − | 0.375612i | ||||
\(655\) | 1.41349e12 | − | 1.18606e12i | 0.300059 | − | 0.251780i | ||||
\(656\) | 1.74880e12 | + | 3.02901e12i | 0.368700 | + | 0.638607i | ||||
\(657\) | −2.48167e12 | − | 8.67793e12i | −0.519637 | − | 1.81707i | ||||
\(658\) | 1.61489e11 | − | 2.79707e11i | 0.0335835 | − | 0.0581684i | ||||
\(659\) | −4.47489e10 | − | 2.53783e11i | −0.00924267 | − | 0.0524178i | 0.979838 | − | 0.199796i | \(-0.0640278\pi\) |
−0.989080 | + | 0.147378i | \(0.952917\pi\) | |||||||
\(660\) | −7.14654e11 | + | 6.65950e11i | −0.146605 | + | 0.136614i | ||||
\(661\) | −4.08951e12 | + | 1.48846e12i | −0.833229 | + | 0.303271i | −0.723184 | − | 0.690656i | \(-0.757322\pi\) |
−0.110046 | + | 0.993927i | \(0.535100\pi\) | |||||||
\(662\) | −3.32386e12 | + | 1.20978e12i | −0.672638 | + | 0.244820i | ||||
\(663\) | 1.94717e12 | + | 5.96067e11i | 0.391375 | + | 0.119808i | ||||
\(664\) | −1.46616e11 | − | 8.31499e11i | −0.0292701 | − | 0.165999i | ||||
\(665\) | −2.26246e11 | + | 3.91870e11i | −0.0448626 | + | 0.0777042i | ||||
\(666\) | −1.00422e12 | + | 4.88908e11i | −0.197786 | + | 0.0962926i | ||||
\(667\) | 5.33411e9 | + | 9.23895e9i | 0.00104351 | + | 0.00180741i | ||||
\(668\) | −2.26268e12 | + | 1.89861e12i | −0.439671 | + | 0.368928i | ||||
\(669\) | 4.92282e11 | + | 7.58639e11i | 0.0950159 | + | 0.146426i | ||||
\(670\) | 1.20693e12 | − | 6.84481e12i | 0.231390 | − | 1.31228i | ||||
\(671\) | 1.93726e12 | + | 1.62556e12i | 0.368924 | + | 0.309564i | ||||
\(672\) | −3.79570e11 | + | 1.60959e11i | −0.0718010 | + | 0.0304476i | ||||
\(673\) | 4.63098e12 | + | 1.68554e12i | 0.870173 | + | 0.316717i | 0.738237 | − | 0.674541i | \(-0.235659\pi\) |
0.131936 | + | 0.991258i | \(0.457881\pi\) | |||||||
\(674\) | −4.89339e12 | −0.913356 | ||||||||
\(675\) | −1.18409e12 | + | 1.35921e12i | −0.219543 | + | 0.252011i | ||||
\(676\) | −3.58889e11 | −0.0660998 | ||||||||
\(677\) | 8.07971e11 | + | 2.94078e11i | 0.147825 | + | 0.0538038i | 0.414873 | − | 0.909879i | \(-0.363826\pi\) |
−0.267048 | + | 0.963683i | \(0.586048\pi\) | |||||||
\(678\) | −4.12240e12 | − | 3.10875e12i | −0.749232 | − | 0.565005i | ||||
\(679\) | 4.35990e10 | + | 3.65839e10i | 0.00787160 | + | 0.00660505i | ||||
\(680\) | −4.54293e11 | + | 2.57642e12i | −0.0814790 | + | 0.462091i | ||||
\(681\) | −4.26049e11 | + | 2.21762e10i | −0.0759098 | + | 0.00395117i | ||||
\(682\) | −1.97584e12 | + | 1.65793e12i | −0.349722 | + | 0.293451i | ||||
\(683\) | 2.19930e12 | + | 3.80931e12i | 0.386716 | + | 0.669812i | 0.992006 | − | 0.126194i | \(-0.0402761\pi\) |
−0.605290 | + | 0.796005i | \(0.706943\pi\) | |||||||
\(684\) | 4.69847e11 | − | 1.05327e12i | 0.0820737 | − | 0.183988i | ||||
\(685\) | 2.51584e12 | − | 4.35756e12i | 0.436592 | − | 0.756199i | ||||
\(686\) | 2.05969e11 | + | 1.16811e12i | 0.0355094 | + | 0.201384i | ||||
\(687\) | 5.54330e11 | + | 2.40497e12i | 0.0949431 | + | 0.411913i | ||||
\(688\) | 2.69261e12 | − | 9.80031e11i | 0.458169 | − | 0.166760i | ||||
\(689\) | 8.60940e12 | − | 3.13356e12i | 1.45541 | − | 0.529727i | ||||
\(690\) | −2.42541e9 | − | 1.05227e10i | −0.000407347 | − | 0.00176728i | ||||
\(691\) | −1.08407e12 | − | 6.14808e12i | −0.180887 | − | 1.02586i | −0.931127 | − | 0.364695i | \(-0.881173\pi\) |
0.750240 | − | 0.661166i | \(-0.229938\pi\) | |||||||
\(692\) | 1.00071e12 | − | 1.73329e12i | 0.165895 | − | 0.287338i | ||||
\(693\) | 2.38482e11 | + | 3.28734e11i | 0.0392786 | + | 0.0541434i | ||||
\(694\) | −2.27097e12 | − | 3.93344e12i | −0.371616 | − | 0.643657i | ||||
\(695\) | 1.97937e12 | − | 1.66088e12i | 0.321806 | − | 0.270027i | ||||
\(696\) | −7.34736e12 | + | 3.82436e11i | −1.18683 | + | 0.0617757i | ||||
\(697\) | −5.23548e11 | + | 2.96919e12i | −0.0840251 | + | 0.476530i | ||||
\(698\) | −1.68446e12 | − | 1.41343e12i | −0.268603 | − | 0.225385i | ||||
\(699\) | 4.84658e11 | + | 3.65486e11i | 0.0767870 | + | 0.0579060i | ||||
\(700\) | 8.14691e10 | + | 2.96523e10i | 0.0128248 | + | 0.00466785i | ||||
\(701\) | −1.23156e13 | −1.92630 | −0.963150 | − | 0.268965i | \(-0.913319\pi\) | ||||
−0.963150 | + | 0.268965i | \(0.913319\pi\) | |||||||
\(702\) | 2.08314e12 | − | 5.40949e12i | 0.323744 | − | 0.840697i | ||||
\(703\) | −1.07376e12 | −0.165810 | ||||||||
\(704\) | 3.52329e12 | + | 1.28237e12i | 0.540593 | + | 0.196760i | ||||
\(705\) | 4.54610e12 | − | 1.92780e12i | 0.693088 | − | 0.293907i | ||||
\(706\) | 1.33411e12 | + | 1.11945e12i | 0.202102 | + | 0.169584i | ||||
\(707\) | 2.00689e10 | − | 1.13816e11i | 0.00302090 | − | 0.0171324i | ||||
\(708\) | −2.20612e12 | − | 3.39978e12i | −0.329974 | − | 0.508511i | ||||
\(709\) | 6.51478e12 | − | 5.46655e12i | 0.968259 | − | 0.812466i | −0.0140180 | − | 0.999902i | \(-0.504462\pi\) |
0.982277 | + | 0.187436i | \(0.0600178\pi\) | |||||||
\(710\) | −4.24601e12 | − | 7.35430e12i | −0.627073 | − | 1.08612i | ||||
\(711\) | 9.19370e12 | + | 6.21076e12i | 1.34920 | + | 0.911447i | ||||
\(712\) | 3.41897e12 | − | 5.92184e12i | 0.498581 | − | 0.863568i | ||||
\(713\) | 2.38862e9 | + | 1.35465e10i | 0.000346133 | + | 0.00196302i | ||||
\(714\) | 2.55362e11 | + | 7.81714e10i | 0.0367718 | + | 0.0112566i | ||||
\(715\) | −4.43540e12 | + | 1.61435e12i | −0.634681 | + | 0.231005i | ||||
\(716\) | −3.37614e12 | + | 1.22881e12i | −0.480078 | + | 0.174734i | ||||
\(717\) | 7.09960e12 | − | 6.61576e12i | 1.00322 | − | 0.934853i | ||||
\(718\) | −5.75161e11 | − | 3.26190e12i | −0.0807661 | − | 0.458047i | ||||
\(719\) | −3.51879e12 | + | 6.09472e12i | −0.491036 | + | 0.850499i | −0.999947 | − | 0.0103202i | \(-0.996715\pi\) |
0.508911 | + | 0.860819i | \(0.330048\pi\) | |||||||
\(720\) | 4.59508e12 | + | 1.14916e12i | 0.637230 | + | 0.159361i | ||||
\(721\) | −5.65284e11 | − | 9.79101e11i | −0.0779037 | − | 0.134933i | ||||
\(722\) | 2.83334e12 | − | 2.37745e12i | 0.388044 | − | 0.325608i | ||||
\(723\) | 2.12064e12 | − | 4.15832e12i | 0.288632 | − | 0.565973i | ||||
\(724\) | −6.36307e11 | + | 3.60868e12i | −0.0860683 | + | 0.488117i | ||||
\(725\) | 2.07934e12 | + | 1.74477e12i | 0.279515 | + | 0.234541i | ||||
\(726\) | −5.37873e11 | + | 4.36777e12i | −0.0718563 | + | 0.583505i | ||||
\(727\) | −6.18464e12 | − | 2.25102e12i | −0.821125 | − | 0.298865i | −0.102914 | − | 0.994690i | \(-0.532817\pi\) |
−0.718211 | + | 0.695825i | \(0.755039\pi\) | |||||||
\(728\) | −1.13547e12 | −0.149826 | ||||||||
\(729\) | −5.65601e12 | − | 5.11461e12i | −0.741714 | − | 0.670716i | ||||
\(730\) | 1.37570e13 | 1.79296 | ||||||||
\(731\) | 2.32108e12 | + | 8.44804e11i | 0.300650 | + | 0.109428i | ||||
\(732\) | −2.79122e11 | + | 2.26660e12i | −0.0359331 | + | 0.291792i | ||||
\(733\) | 3.20204e12 | + | 2.68683e12i | 0.409693 | + | 0.343773i | 0.824226 | − | 0.566261i | \(-0.191611\pi\) |
−0.414533 | + | 0.910034i | \(0.636055\pi\) | |||||||
\(734\) | 4.91579e11 | − | 2.78788e12i | 0.0625116 | − | 0.354521i | ||||
\(735\) | −4.08664e12 | + | 8.01342e12i | −0.516503 | + | 1.01280i | ||||
\(736\) | 7.24602e9 | − | 6.08013e9i | 0.000910226 | − | 0.000763770i | ||||
\(737\) | −2.99861e12 | − | 5.19375e12i | −0.374384 | − | 0.648451i | ||||
\(738\) | 8.32610e12 | + | 2.08223e12i | 1.03321 | + | 0.258389i | ||||
\(739\) | −3.48679e12 | + | 6.03931e12i | −0.430057 | + | 0.744881i | −0.996878 | − | 0.0789601i | \(-0.974840\pi\) |
0.566820 | + | 0.823841i | \(0.308173\pi\) | |||||||
\(740\) | 1.42614e11 | + | 8.08802e11i | 0.0174831 | + | 0.0991515i | ||||
\(741\) | 4.07703e12 | − | 3.79918e12i | 0.496777 | − | 0.462922i | ||||
\(742\) | 1.12908e12 | − | 4.10952e11i | 0.136744 | − | 0.0497707i | ||||
\(743\) | 9.07412e12 | − | 3.30271e12i | 1.09233 | − | 0.397577i | 0.267848 | − | 0.963461i | \(-0.413687\pi\) |
0.824484 | + | 0.565885i | \(0.191465\pi\) | |||||||
\(744\) | −9.07094e12 | − | 2.77680e12i | −1.08536 | − | 0.332251i | ||||
\(745\) | 1.34058e11 | + | 7.60278e11i | 0.0159437 | + | 0.0904210i | ||||
\(746\) | −6.32086e12 | + | 1.09480e13i | −0.747225 | + | 1.29423i | ||||
\(747\) | −1.09192e12 | − | 7.37642e11i | −0.128307 | − | 0.0866769i | ||||
\(748\) | 2.77127e11 | + | 4.79998e11i | 0.0323684 | + | 0.0560638i | ||||
\(749\) | 1.38978e12 | − | 1.16616e12i | 0.161353 | − | 0.135392i | ||||
\(750\) | 2.97920e12 | + | 4.59114e12i | 0.343814 | + | 0.529840i | ||||
\(751\) | 8.52907e11 | − | 4.83708e12i | 0.0978413 | − | 0.554885i | −0.895998 | − | 0.444057i | \(-0.853539\pi\) |
0.993840 | − | 0.110828i | \(-0.0353503\pi\) | |||||||
\(752\) | −2.48983e12 | − | 2.08922e12i | −0.283916 | − | 0.238234i | ||||
\(753\) | −3.69556e12 | + | 1.56712e12i | −0.418893 | + | 0.177634i | ||||
\(754\) | −8.20220e12 | − | 2.98536e12i | −0.924186 | − | 0.336376i | ||||
\(755\) | 1.11915e13 | 1.25351 | ||||||||
\(756\) | −1.31797e11 | + | 3.42250e11i | −0.0146743 | + | 0.0381062i | ||||
\(757\) | −4.59607e12 | −0.508692 | −0.254346 | − | 0.967113i | \(-0.581860\pi\) | ||||
−0.254346 | + | 0.967113i | \(0.581860\pi\) | |||||||
\(758\) | −2.35662e12 | − | 8.57740e11i | −0.259286 | − | 0.0943723i | ||||
\(759\) | −7.43944e9 | − | 5.61017e9i | −0.000813677 | − | 0.000613604i | ||||
\(760\) | 5.48450e12 | + | 4.60205e12i | 0.596316 | + | 0.500368i | ||||
\(761\) | 1.02595e12 | − | 5.81848e12i | 0.110891 | − | 0.628895i | −0.877812 | − | 0.479006i | \(-0.840997\pi\) |
0.988703 | − | 0.149889i | \(-0.0478917\pi\) | |||||||
\(762\) | −1.01084e13 | + | 5.26152e11i | −1.08614 | + | 0.0565346i | ||||
\(763\) | −4.61956e11 | + | 3.87627e11i | −0.0493447 | + | 0.0414051i | ||||
\(764\) | −3.72526e11 | − | 6.45235e11i | −0.0395582 | − | 0.0685169i | ||||
\(765\) | 2.39759e12 | + | 3.30494e12i | 0.253103 | + | 0.348889i | ||||
\(766\) | −3.55241e12 | + | 6.15295e12i | −0.372815 | + | 0.645734i | ||||
\(767\) | −3.40057e12 | − | 1.92856e13i | −0.354791 | − | 2.01212i | ||||
\(768\) | 1.86591e12 | + | 8.09530e12i | 0.193538 | + | 0.839668i | ||||
\(769\) | −1.45061e13 | + | 5.27977e12i | −1.49583 | + | 0.544436i | −0.954976 | − | 0.296684i | \(-0.904119\pi\) |
−0.540849 | + | 0.841119i | \(0.681897\pi\) | |||||||
\(770\) | −5.81682e11 | + | 2.11715e11i | −0.0596317 | + | 0.0217042i | ||||
\(771\) | 4.31945e11 | + | 1.87400e12i | 0.0440234 | + | 0.190996i | ||||
\(772\) | 8.18118e11 | + | 4.63978e12i | 0.0828969 | + | 0.470132i | ||||
\(773\) | 5.05669e11 | − | 8.75844e11i | 0.0509400 | − | 0.0882306i | −0.839431 | − | 0.543466i | \(-0.817112\pi\) |
0.890371 | + | 0.455236i | \(0.150445\pi\) | |||||||
\(774\) | 2.86444e12 | − | 6.42133e12i | 0.286884 | − | 0.643118i | ||||
\(775\) | 1.74995e12 | + | 3.03100e12i | 0.174248 | + | 0.301807i | ||||
\(776\) | 6.89841e11 | − | 5.78845e11i | 0.0682922 | − | 0.0573039i | ||||
\(777\) | 3.40990e11 | − | 1.77488e10i | 0.0335620 | − | 0.00174693i | ||||
\(778\) | −1.34977e12 | + | 7.65494e12i | −0.132085 | + | 0.749089i | ||||
\(779\) | 6.32059e12 | + | 5.30361e12i | 0.614949 | + | 0.516004i | ||||
\(780\) | −3.40319e12 | − | 2.56639e12i | −0.329201 | − | 0.248254i | ||||
\(781\) | −6.88552e12 | − | 2.50613e12i | −0.662228 | − | 0.241031i | ||||
\(782\) | −6.12706e9 | −0.000585898 | ||||||||
\(783\) | −7.54243e12 | + | 8.65788e12i | −0.717106 | + | 0.823158i | ||||
\(784\) | 5.92086e12 | 0.559709 | ||||||||
\(785\) | −1.09920e13 | − | 4.00077e12i | −1.03315 | − | 0.376037i | ||||
\(786\) | −2.74375e12 | + | 1.16350e12i | −0.256414 | + | 0.108734i | ||||
\(787\) | −1.50781e12 | − | 1.26520e12i | −0.140107 | − | 0.117564i | 0.570041 | − | 0.821616i | \(-0.306927\pi\) |
−0.710148 | + | 0.704053i | \(0.751372\pi\) | |||||||
\(788\) | −4.85725e11 | + | 2.75468e12i | −0.0448768 | + | 0.254509i | ||||
\(789\) | 1.53955e12 | + | 2.37255e12i | 0.141432 | + | 0.217956i | ||||
\(790\) | −1.29543e13 | + | 1.08700e13i | −1.18330 | + | 0.992903i | ||||
\(791\) | 7.89219e11 | + | 1.36697e12i | 0.0716809 | + | 0.124155i | ||||
\(792\) | 5.77758e12 | − | 2.81282e12i | 0.521774 | − | 0.254026i | ||||
\(793\) | −5.51741e12 | + | 9.55643e12i | −0.495457 | + | 0.858156i | ||||
\(794\) | 1.78838e12 | + | 1.01424e13i | 0.159686 | + | 0.905625i | ||||
\(795\) | 1.75656e13 | + | 5.37719e12i | 1.55959 | + | 0.477423i | ||||
\(796\) | 4.49696e12 | − | 1.63676e12i | 0.397018 | − | 0.144503i | ||||
\(797\) | 1.89101e13 | − | 6.88272e12i | 1.66009 | − | 0.604223i | 0.669713 | − | 0.742620i | \(-0.266417\pi\) |
0.990377 | + | 0.138396i | \(0.0441947\pi\) | |||||||
\(798\) | 5.34683e11 | − | 4.98244e11i | 0.0466749 | − | 0.0434940i | ||||
\(799\) | −4.86522e11 | − | 2.75920e12i | −0.0422320 | − | 0.239510i | ||||
\(800\) | 1.20336e12 | − | 2.08428e12i | 0.103870 | − | 0.179908i | ||||
\(801\) | −2.93427e12 | − | 1.02606e13i | −0.251857 | − | 0.880695i | ||||
\(802\) | 9.03715e11 | + | 1.56528e12i | 0.0771342 | + | 0.133600i | ||||
\(803\) | 9.09321e12 | − | 7.63011e12i | 0.771786 | − | 0.647606i | ||||
\(804\) | 2.46041e12 | − | 4.82459e12i | 0.207661 | − | 0.407200i | ||||
\(805\) | −5.73255e8 | + | 3.25109e9i | −4.81134e−5 | + | 0.000272865i | ||||
\(806\) | −8.62150e12 | − | 7.23429e12i | −0.719573 | − | 0.603794i | ||||
\(807\) | 2.63736e11 | − | 2.14165e12i | 0.0218896 | − | 0.177754i | ||||
\(808\) | −1.71835e12 | − | 6.25428e11i | −0.141827 | − | 0.0516209i | ||||
\(809\) | −1.35819e12 | −0.111479 | −0.0557395 | − | 0.998445i | \(-0.517752\pi\) | ||||
−0.0557395 | + | 0.998445i | \(0.517752\pi\) | |||||||
\(810\) | 9.86545e12 | − | 6.14510e12i | 0.805257 | − | 0.501587i | ||||
\(811\) | 6.18683e12 | 0.502197 | 0.251099 | − | 0.967962i | \(-0.419208\pi\) | ||||
0.251099 | + | 0.967962i | \(0.419208\pi\) | |||||||
\(812\) | 5.18940e11 | + | 1.88879e11i | 0.0418905 | + | 0.0152469i | ||||
\(813\) | −9.60735e11 | + | 7.80160e12i | −0.0771252 | + | 0.626291i | ||||
\(814\) | −1.12525e12 | − | 9.44200e11i | −0.0898340 | − | 0.0753797i | ||||
\(815\) | −4.15290e12 | + | 2.35523e13i | −0.329718 | + | 1.86992i | ||||
\(816\) | 1.22096e12 | − | 2.39416e12i | 0.0964039 | − | 0.189037i | ||||
\(817\) | 5.17816e12 | − | 4.34500e12i | 0.406609 | − | 0.341185i | ||||
\(818\) | 2.85593e12 | + | 4.94661e12i | 0.223027 | + | 0.386294i | ||||
\(819\) | −1.23193e12 | + | 1.27388e12i | −0.0956768 | + | 0.0989352i | ||||
\(820\) | 3.15541e12 | − | 5.46533e12i | 0.243721 | − | 0.422138i | ||||
\(821\) | −4.48393e12 | − | 2.54296e13i | −0.344441 | − | 1.95342i | −0.298251 | − | 0.954488i | \(-0.596403\pi\) |
−0.0461901 | − | 0.998933i | \(-0.514708\pi\) | |||||||
\(822\) | −5.94563e12 | + | 5.54044e12i | −0.454229 | + | 0.423273i | ||||
\(823\) | −6.41370e12 | + | 2.33440e12i | −0.487315 | + | 0.177368i | −0.573980 | − | 0.818869i | \(-0.694601\pi\) |
0.0866652 | + | 0.996237i | \(0.472379\pi\) | |||||||
\(824\) | −1.68095e13 | + | 6.11815e12i | −1.27023 | + | 0.462326i | ||||
\(825\) | −2.26692e12 | − | 6.93950e11i | −0.170370 | − | 0.0521537i | ||||
\(826\) | −4.45969e11 | − | 2.52921e12i | −0.0333345 | − | 0.189049i | ||||
\(827\) | 6.35461e12 | − | 1.10065e13i | 0.472404 | − | 0.818229i | −0.527097 | − | 0.849805i | \(-0.676719\pi\) |
0.999501 | + | 0.0315767i | \(0.0100528\pi\) | |||||||
\(828\) | 5.92925e8 | − | 8.39333e9i | 4.38392e−5 | − | 0.000620580i | ||||
\(829\) | 8.41727e12 | + | 1.45791e13i | 0.618979 | + | 1.07210i | 0.989672 | + | 0.143347i | \(0.0457866\pi\) |
−0.370694 | + | 0.928755i | \(0.620880\pi\) | |||||||
\(830\) | 1.53857e12 | − | 1.29101e12i | 0.112529 | − | 0.0944232i | ||||
\(831\) | 1.30514e13 | + | 2.01131e13i | 0.949407 | + | 1.46310i | ||||
\(832\) | −2.84094e12 | + | 1.61118e13i | −0.205545 | + | 1.16570i | ||||
\(833\) | 3.90980e12 | + | 3.28071e12i | 0.281353 | + | 0.236084i | ||||
\(834\) | −3.84217e12 | + | 1.62929e12i | −0.274998 | + | 0.116614i | ||||
\(835\) | −2.68908e13 | − | 9.78746e12i | −1.91432 | − | 0.696756i | ||||
\(836\) | 1.51679e12 | 0.107398 | ||||||||
\(837\) | −1.29567e13 | + | 7.16395e12i | −0.912496 | + | 0.504531i | ||||
\(838\) | 1.47625e13 | 1.03410 | ||||||||
\(839\) | −2.09727e13 | − | 7.63342e12i | −1.46125 | − | 0.531852i | −0.515541 | − | 0.856865i | \(-0.672409\pi\) |
−0.945709 | + | 0.325013i | \(0.894631\pi\) | |||||||
\(840\) | −1.81776e12 | − | 1.37079e12i | −0.125974 | − | 0.0949983i | ||||
\(841\) | 2.13183e12 | + | 1.78882e12i | 0.146951 | + | 0.123306i | ||||
\(842\) | 1.14285e12 | − | 6.48143e12i | 0.0783584 | − | 0.444392i | ||||
\(843\) | 7.32033e12 | − | 3.81029e11i | 0.499237 | − | 0.0259857i | ||||
\(844\) | 1.35085e12 | − | 1.13349e12i | 0.0916357 | − | 0.0768915i | ||||
\(845\) | −1.73852e12 | − | 3.01121e12i | −0.117307 | − | 0.203182i | ||||
\(846\) | −7.93246e12 | + | 8.28025e11i | −0.532404 | + | 0.0555746i | ||||
\(847\) | 6.72679e11 | − | 1.16511e12i | 0.0449089 | − | 0.0777845i | ||||
\(848\) | −2.09968e12 | − | 1.19079e13i | −0.139435 | − | 0.790775i | ||||
\(849\) | 2.31320e12 | + | 1.00359e13i | 0.152802 | + | 0.662933i | ||||
\(850\) | −1.46493e12 | + | 5.33192e11i | −0.0962570 | + | 0.0350347i | ||||
\(851\) | −7.36140e9 | + | 2.67933e9i | −0.000481146 | + | 0.000175123i | ||||
\(852\) | −1.48620e12 | − | 6.44790e12i | −0.0966269 | − | 0.419218i | ||||
\(853\) | 1.19454e12 | + | 6.77458e12i | 0.0772556 | + | 0.438139i | 0.998761 | + | 0.0497720i | \(0.0158495\pi\) |
−0.921505 | + | 0.388367i | \(0.873039\pi\) | |||||||
\(854\) | −7.23582e11 | + | 1.25328e12i | −0.0465508 | + | 0.0806284i | ||||
\(855\) | 1.11134e13 | − | 1.16006e12i | 0.711211 | − | 0.0742394i | ||||
\(856\) | −1.43527e13 | − | 2.48596e13i | −0.913697 | − | 1.58257i | ||||
\(857\) | 9.37934e12 | − | 7.87020e12i | 0.593962 | − | 0.498393i | −0.295537 | − | 0.955331i | \(-0.595498\pi\) |
0.889498 | + | 0.456938i | \(0.151054\pi\) | |||||||
\(858\) | 7.61330e12 | − | 3.96278e11i | 0.479601 | − | 0.0249636i | ||||
\(859\) | 7.76449e11 | − | 4.40346e12i | 0.0486568 | − | 0.275946i | −0.950766 | − | 0.309909i | \(-0.899702\pi\) |
0.999423 | + | 0.0339623i | \(0.0108126\pi\) | |||||||
\(860\) | −3.96057e12 | − | 3.32331e12i | −0.246896 | − | 0.207171i | ||||
\(861\) | −2.09487e12 | − | 1.57977e12i | −0.129910 | − | 0.0979667i | ||||
\(862\) | −7.47609e12 | − | 2.72107e12i | −0.461203 | − | 0.167864i | ||||
\(863\) | −1.77022e13 | −1.08637 | −0.543185 | − | 0.839613i | \(-0.682782\pi\) | ||||
−0.543185 | + | 0.839613i | \(0.682782\pi\) | |||||||
\(864\) | 8.72118e12 | + | 5.25290e12i | 0.532431 | + | 0.320691i | ||||
\(865\) | 1.93905e13 | 1.17765 | ||||||||
\(866\) | 2.20565e13 | + | 8.02790e12i | 1.33262 | + | 0.485033i | ||||
\(867\) | −1.31843e13 | + | 5.59086e12i | −0.792449 | + | 0.336042i | ||||
\(868\) | 5.45469e11 | + | 4.57702e11i | 0.0326160 | + | 0.0273681i | ||||
\(869\) | −2.53380e12 | + | 1.43699e13i | −0.150724 | + | 0.854799i | ||||
\(870\) | −9.52670e12 | − | 1.46813e13i | −0.563775 | − | 0.868814i | ||||
\(871\) | 2.00463e13 | − | 1.68209e13i | 1.18019 | − | 0.990299i | ||||
\(872\) | 4.77077e12 | + | 8.26322e12i | 0.279424 | + | 0.483977i | ||||
\(873\) | 9.90364e10 | − | 1.40194e12i | 0.00577073 | − | 0.0816894i | ||||
\(874\) | −8.38378e9 | + | 1.45211e10i | −0.000486002 | + | 0.000841781i | ||||
\(875\) | −2.90542e11 | − | 1.64775e12i | −0.0167561 | − | 0.0950285i | ||||
\(876\) | 1.02499e13 | + | 3.13770e12i | 0.588100 | + | 0.180029i | ||||
\(877\) | 1.81090e12 | − | 6.59112e11i | 0.103370 | − | 0.0376237i | −0.289817 | − | 0.957082i | \(-0.593595\pi\) |
0.393187 | + | 0.919458i | \(0.371372\pi\) | |||||||
\(878\) | 1.55123e13 | − | 5.64601e12i | 0.880948 | − | 0.320639i | ||||
\(879\) | 2.35037e12 | − | 2.19020e12i | 0.132797 | − | 0.123747i | ||||
\(880\) | 1.08172e12 | + | 6.13471e12i | 0.0608052 | + | 0.344844i | ||||
\(881\) | −1.42842e13 | + | 2.47410e13i | −0.798850 | + | 1.38365i | 0.121515 | + | 0.992590i | \(0.461225\pi\) |
−0.920365 | + | 0.391059i | \(0.872109\pi\) | |||||||
\(882\) | 1.01000e13 | − | 1.04439e13i | 0.561969 | − | 0.581107i | ||||
\(883\) | −1.57308e11 | − | 2.72466e11i | −0.00870821 | − | 0.0150831i | 0.861638 | − | 0.507523i | \(-0.169439\pi\) |
−0.870347 | + | 0.492440i | \(0.836105\pi\) | |||||||
\(884\) | −1.85265e12 | + | 1.55456e12i | −0.102037 | + | 0.0856192i | ||||
\(885\) | 1.78385e13 | − | 3.49793e13i | 0.977494 | − | 1.91675i | ||||
\(886\) | 7.69880e10 | − | 4.36621e11i | 0.00419731 | − | 0.0238041i | ||||
\(887\) | 6.42115e12 | + | 5.38798e12i | 0.348302 | + | 0.292260i | 0.800108 | − | 0.599856i | \(-0.204776\pi\) |
−0.451806 | + | 0.892116i | \(0.649220\pi\) | |||||||
\(888\) | 6.60318e11 | − | 5.36208e12i | 0.0356365 | − | 0.289384i | ||||
\(889\) | 2.90782e12 | + | 1.05836e12i | 0.156138 | + | 0.0568297i | ||||
\(890\) | 1.62659e13 | 0.869007 | ||||||||
\(891\) | 3.11266e12 | − | 9.53357e12i | 0.165456 | − | 0.506764i | ||||
\(892\) | −1.07406e12 | −0.0568049 | ||||||||
\(893\) | −7.20503e12 | − | 2.62242e12i | −0.379144 | − | 0.137997i | ||||
\(894\) | 1.52400e11 | − | 1.23756e12i | 0.00797935 | − | 0.0647959i | ||||
\(895\) | −2.66648e13 | − | 2.23744e13i | −1.38910 | − | 1.16560i | ||||
\(896\) | −1.11303e11 | + | 6.31230e11i | −0.00576926 | + | 0.0327191i | ||||
\(897\) | 1.84709e10 | − | 3.62193e10i | 0.000952625 | − | 0.00186799i | ||||
\(898\) | 6.18853e12 | − | 5.19279e12i | 0.317573 | − | 0.266476i | ||||
\(899\) | 1.11468e13 | + | 1.93068e13i | 0.569157 | + | 0.985809i | ||||
\(900\) | −5.88644e11 | − | 2.05838e12i | −0.0299062 | − | 0.104576i | ||||
\(901\) | 5.21157e12 | − | 9.02671e12i | 0.263456 | − | 0.456318i | ||||
\(902\) | 1.96003e12 | + | 1.11159e13i | 0.0985900 | + | 0.559132i | ||||
\(903\) | −1.57259e12 | + | 1.46541e12i | −0.0787081 | + | 0.0733441i | ||||
\(904\) | 2.34685e13 | − | 8.54184e12i | 1.16877 | − | 0.425396i | ||||
\(905\) | −3.33605e13 | + | 1.21422e13i | −1.65316 | + | 0.601699i | ||||
\(906\) | −1.72843e13 | − | 5.29106e12i | −0.852263 | − | 0.260895i | ||||
\(907\) | −1.54084e12 | − | 8.73856e12i | −0.0756007 | − | 0.428753i | −0.998992 | − | 0.0448924i | \(-0.985705\pi\) |
0.923391 | − | 0.383860i | \(-0.125406\pi\) | |||||||
\(908\) | 2.53339e11 | − | 4.38796e11i | 0.0123685 | − | 0.0214228i | ||||
\(909\) | −2.56597e12 | + | 1.24925e12i | −0.124656 | + | 0.0606892i | ||||
\(910\) | −1.35052e12 | − | 2.33916e12i | −0.0652850 | − | 0.113077i | ||||
\(911\) | −1.14696e13 | + | 9.62414e12i | −0.551716 | + | 0.462945i | −0.875522 | − | 0.483179i | \(-0.839482\pi\) |
0.323805 | + | 0.946124i | \(0.395038\pi\) | |||||||
\(912\) | −4.00349e12 | − | 6.16964e12i | −0.191629 | − | 0.295313i | ||||
\(913\) | 3.00935e11 | − | 1.70669e12i | 0.0143336 | − | 0.0812898i | ||||
\(914\) | 1.56785e13 | + | 1.31558e13i | 0.743099 | + | 0.623534i | ||||
\(915\) | −2.03697e13 | + | 8.63785e12i | −0.960703 | + | 0.407391i | ||||
\(916\) | −2.75436e12 | − | 1.00251e12i | −0.129268 | − | 0.0470497i | ||||
\(917\) | 9.11092e11 | 0.0425501 | ||||||||
\(918\) | −2.14036e12 | − | 6.23770e12i | −0.0994708 | − | 0.289890i | ||||
\(919\) | −3.61739e13 | −1.67292 | −0.836461 | − | 0.548027i | \(-0.815379\pi\) | ||||
−0.836461 | + | 0.548027i | \(0.815379\pi\) | |||||||
\(920\) | 4.90835e10 | + | 1.78649e10i | 0.00225886 | + | 0.000822159i | ||||
\(921\) | −6.00579e11 | − | 4.52904e11i | −0.0275044 | − | 0.0207414i | ||||
\(922\) | −9.95201e11 | − | 8.35073e11i | −0.0453546 | − | 0.0380570i | ||||
\(923\) | 5.55203e12 | − | 3.14871e13i | 0.251793 | − | 1.42799i | ||||
\(924\) | −4.81681e11 | + | 2.50719e10i | −0.0217388 | + | 0.00113152i | ||||
\(925\) | −1.52689e12 | + | 1.28121e12i | −0.0685757 | + | 0.0575418i | ||||
\(926\) | −5.88259e12 | − | 1.01889e13i | −0.262917 | − | 0.455386i | ||||
\(927\) | −1.13734e13 | + | 2.54963e13i | −0.505863 | + | 1.13401i | ||||
\(928\) | 7.66513e12 | − | 1.32764e13i | 0.339277 | − | 0.587644i | ||||
\(929\) | 3.46775e12 | + | 1.96666e13i | 0.152748 | + | 0.866280i | 0.960815 | + | 0.277189i | \(0.0894028\pi\) |
−0.808067 | + | 0.589091i | \(0.799486\pi\) | |||||||
\(930\) | −5.06843e12 | − | 2.19895e13i | −0.222178 | − | 0.963923i | ||||
\(931\) | 1.31251e13 | − | 4.77716e12i | 0.572573 | − | 0.208399i | ||||
\(932\) | −6.77444e11 | + | 2.46569e11i | −0.0294104 | + | 0.0107045i | ||||
\(933\) | 2.05767e11 | + | 8.92727e11i | 0.00889015 | + | 0.0385701i | ||||
\(934\) | 3.44141e12 | + | 1.95172e13i | 0.147971 | + | 0.839184i | ||||
\(935\) | −2.68490e12 | + | 4.65039e12i | −0.114889 | + | 0.198993i | ||||
\(936\) | 1.64649e13 | + | 2.26959e13i | 0.701159 | + | 0.966509i | ||||
\(937\) | 1.43376e13 | + | 2.48334e13i | 0.607642 | + | 1.05247i | 0.991628 | + | 0.129127i | \(0.0412176\pi\) |
−0.383986 | + | 0.923339i | \(0.625449\pi\) | |||||||
\(938\) | 2.62898e12 | − | 2.20598e12i | 0.110885 | − | 0.0930440i | ||||
\(939\) | −3.32392e13 | + | 1.73012e12i | −1.39526 | + | 0.0726243i | ||||
\(940\) | −1.01836e12 | + | 5.77542e12i | −0.0425429 | + | 0.241273i | ||||
\(941\) | 2.00326e13 | + | 1.68093e13i | 0.832881 | + | 0.698870i | 0.955951 | − | 0.293528i | \(-0.0948293\pi\) |
−0.123069 | + | 0.992398i | \(0.539274\pi\) | |||||||
\(942\) | 1.50847e13 | + | 1.13756e13i | 0.624178 | + | 0.470701i | ||||
\(943\) | 5.65660e10 | + | 2.05883e10i | 0.00232945 | + | 0.000847850i | ||||
\(944\) | −2.58450e13 | −1.05926 | ||||||||
\(945\) | −3.51005e12 | + | 5.52095e11i | −0.143176 | + | 0.0225201i | ||||
\(946\) | 9.24719e12 | 0.375405 | ||||||||
\(947\) | 1.42502e13 | + | 5.18665e12i | 0.575766 | + | 0.209562i | 0.613458 | − | 0.789728i | \(-0.289778\pi\) |
−0.0376913 | + | 0.999289i | \(0.512000\pi\) | |||||||
\(948\) | −1.21311e13 | + | 5.14426e12i | −0.487824 | + | 0.206864i | ||||
\(949\) | 3.96778e13 | + | 3.32936e13i | 1.58800 | + | 1.33249i | ||||
\(950\) | −7.40832e11 | + | 4.20147e12i | −0.0295096 | + | 0.167357i | ||||
\(951\) | 2.08892e13 | + | 3.21917e13i | 0.828153 | + | 1.27624i | ||||
\(952\) | −9.89562e11 | + | 8.30341e11i | −0.0390460 | + | 0.0327635i | ||||
\(953\) | −4.99811e12 | − | 8.65697e12i | −0.196285 | − | 0.339976i | 0.751036 | − | 0.660261i | \(-0.229554\pi\) |
−0.947321 | + | 0.320286i | \(0.896221\pi\) | |||||||
\(954\) | −2.45863e13 | − | 1.66092e13i | −0.961005 | − | 0.649202i | ||||
\(955\) | 3.60917e12 | − | 6.25126e12i | 0.140408 | − | 0.243194i | ||||
\(956\) | 2.00132e12 | + | 1.13501e13i | 0.0774919 | + | 0.439478i | ||||
\(957\) | −1.44398e13 | − | 4.42031e12i | −0.556490 | − | 0.170353i | ||||
\(958\) | 1.30591e13 | − | 4.75314e12i | 0.500921 | − | 0.182320i | ||||
\(959\) | 2.33465e12 | − | 8.49744e11i | 0.0891330 | − | 0.0324417i | ||||
\(960\) | −2.39989e13 | + | 2.23634e13i | −0.911949 | + | 0.849799i | ||||
\(961\) | 4.00352e11 | + | 2.27051e12i | 0.0151421 | + | 0.0858752i | ||||
\(962\) | 3.20477e12 | − | 5.55082e12i | 0.120645 | − | 0.208963i | ||||
\(963\) | −4.34617e13 | − | 1.08691e13i | −1.62850 | − | 0.407263i | ||||
\(964\) | 2.77186e12 | + | 4.80099e12i | 0.103377 | + | 0.179054i | ||||
\(965\) | −3.49663e13 | + | 2.93402e13i | −1.29801 | + | 1.08916i | ||||
\(966\) | 2.42237e9 | − | 4.74999e9i | 8.95043e−5 | − | 0.000175508i | ||||
\(967\) | 2.08182e12 | − | 1.18066e13i | 0.0765638 | − | 0.434215i | −0.922296 | − | 0.386483i | \(-0.873690\pi\) |
0.998860 | − | 0.0477315i | \(-0.0151992\pi\) | |||||||
\(968\) | −1.63066e13 | − | 1.36829e13i | −0.596932 | − | 0.500885i | ||||
\(969\) | 7.74883e11 | − | 6.29239e12i | 0.0282344 | − | 0.229276i | ||||
\(970\) | 2.01295e12 | + | 7.32654e11i | 0.0730063 | + | 0.0265721i | ||||
\(971\) | −1.18164e13 | −0.426577 | −0.213289 | − | 0.976989i | \(-0.568417\pi\) | ||||
−0.213289 | + | 0.976989i | \(0.568417\pi\) | |||||||
\(972\) | 8.75202e12 | − | 2.32841e12i | 0.314492 | − | 0.0836683i | ||||
\(973\) | 1.27584e12 | 0.0456339 | ||||||||
\(974\) | 1.20135e13 | + | 4.37254e12i | 0.427713 | + | 0.155675i | ||||
\(975\) | 1.26436e12 | − | 1.02671e13i | 0.0448073 | − | 0.363855i | ||||
\(976\) | 1.11562e13 | + | 9.36113e12i | 0.393542 | + | 0.330221i | ||||
\(977\) | 7.51419e12 | − | 4.26151e13i | 0.263850 | − | 1.49637i | −0.508441 | − | 0.861097i | \(-0.669778\pi\) |
0.772291 | − | 0.635269i | \(-0.219111\pi\) | |||||||
\(978\) | 1.75487e13 | − | 3.44109e13i | 0.613366 | − | 1.20274i | ||||
\(979\) | 1.07516e13 | − | 9.02166e12i | 0.374068 | − | 0.313880i | ||||
\(980\) | −5.34159e12 | − | 9.25190e12i | −0.184992 | − | 0.320416i | ||||
\(981\) | 1.44465e13 | + | 3.61284e12i | 0.498025 | + | 0.124548i | ||||
\(982\) | −1.91475e13 | + | 3.31644e13i | −0.657067 | + | 1.13807i | ||||
\(983\) | 5.72807e12 | + | 3.24855e13i | 0.195667 | + | 1.10968i | 0.911466 | + | 0.411375i | \(0.134951\pi\) |
−0.715799 | + | 0.698306i | \(0.753937\pi\) | |||||||
\(984\) | −3.03716e13 | + | 2.83018e13i | −1.03274 | + | 0.962357i | ||||
\(985\) | −2.54657e13 | + | 9.26876e12i | −0.861971 | + | 0.313732i | ||||
\(986\) | −9.33130e12 | + | 3.39632e12i | −0.314410 | + | 0.114436i | ||||
\(987\) | 2.33142e12 | + | 7.13693e11i | 0.0781974 | + | 0.0239378i | ||||
\(988\) | 1.14928e12 | + | 6.51790e12i | 0.0383725 | + | 0.217621i | ||||
\(989\) | 2.46580e10 | − | 4.27089e10i | 0.000819548 | − | 0.00141950i | ||||
\(990\) | 1.26664e13 | + | 8.55672e12i | 0.419078 | + | 0.283106i | ||||
\(991\) | 1.35439e12 | + | 2.34588e12i | 0.0446080 | + | 0.0772634i | 0.887467 | − | 0.460871i | \(-0.152463\pi\) |
−0.842859 | + | 0.538134i | \(0.819129\pi\) | |||||||
\(992\) | 1.51422e13 | − | 1.27058e13i | 0.496461 | − | 0.416580i | ||||
\(993\) | −1.45353e13 | − | 2.23999e13i | −0.474409 | − | 0.731096i | ||||
\(994\) | 7.28122e11 | − | 4.12939e12i | 0.0236573 | − | 0.134167i | ||||
\(995\) | 3.55171e13 | + | 2.98024e13i | 1.14877 | + | 0.963934i | ||||
\(996\) | 1.44080e12 | − | 6.10976e11i | 0.0463912 | − | 0.0196724i | ||||
\(997\) | 3.57905e13 | + | 1.30267e13i | 1.14720 | + | 0.417547i | 0.844509 | − | 0.535541i | \(-0.179892\pi\) |
0.302692 | + | 0.953088i | \(0.402115\pi\) | |||||||
\(998\) | 3.99473e13 | 1.27468 | ||||||||
\(999\) | −5.29927e12 | − | 6.55836e12i | −0.168334 | − | 0.208329i |
(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 | 27.10.e.a.4.18 | ✓ | 156 | |
3.2 | odd | 2 | 81.10.e.a.64.9 | 156 | |||
27.7 | even | 9 | inner | 27.10.e.a.7.18 | yes | 156 | |
27.20 | odd | 18 | 81.10.e.a.19.9 | 156 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.10.e.a.4.18 | ✓ | 156 | 1.1 | even | 1 | trivial | |
27.10.e.a.7.18 | yes | 156 | 27.7 | even | 9 | inner | |
81.10.e.a.19.9 | 156 | 27.20 | odd | 18 | |||
81.10.e.a.64.9 | 156 | 3.2 | odd | 2 |