Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,10,Mod(7,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.7");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.f (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: | \(19.0563259381\) |
Analytic rank: | \(0\) |
Dimension: | \(162\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.4 | ||
Character | \(\chi\) | \(=\) | 37.7 |
Dual form | 37.10.f.a.16.4 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −33.3678 | + | 12.1449i | −1.47466 | + | 0.536733i | −0.949362 | − | 0.314184i | \(-0.898269\pi\) |
−0.525300 | + | 0.850917i | \(0.676047\pi\) | |||||||
\(3\) | 12.1843 | + | 4.43471i | 0.0868467 | + | 0.0316096i | 0.385078 | − | 0.922884i | \(-0.374174\pi\) |
−0.298231 | + | 0.954494i | \(0.596397\pi\) | |||||||
\(4\) | 573.697 | − | 481.389i | 1.12050 | − | 0.940212i | ||||
\(5\) | −434.250 | − | 2462.75i | −0.310724 | − | 1.76220i | −0.595255 | − | 0.803537i | \(-0.702949\pi\) |
0.284531 | − | 0.958667i | \(-0.408162\pi\) | |||||||
\(6\) | −460.421 | −0.145035 | ||||||||
\(7\) | −1475.57 | − | 8368.36i | −0.232283 | − | 1.31734i | −0.848260 | − | 0.529580i | \(-0.822350\pi\) |
0.615977 | − | 0.787764i | \(-0.288761\pi\) | |||||||
\(8\) | −4206.21 | + | 7285.37i | −0.363066 | + | 0.628849i | ||||
\(9\) | −14949.3 | − | 12543.9i | −0.759501 | − | 0.637297i | ||||
\(10\) | 44399.8 | + | 76902.7i | 1.40405 | + | 2.43188i | ||||
\(11\) | 6974.32 | − | 12079.9i | 0.143627 | − | 0.248768i | −0.785233 | − | 0.619200i | \(-0.787457\pi\) |
0.928860 | + | 0.370432i | \(0.120790\pi\) | |||||||
\(12\) | 9124.88 | − | 3321.19i | 0.127032 | − | 0.0462357i | ||||
\(13\) | 84498.1 | − | 70902.3i | 0.820544 | − | 0.688518i | −0.132555 | − | 0.991176i | \(-0.542318\pi\) |
0.953099 | + | 0.302657i | \(0.0978738\pi\) | |||||||
\(14\) | 150869. | + | 261313.i | 1.04960 | + | 1.81796i | ||||
\(15\) | 5630.58 | − | 31932.6i | 0.0287172 | − | 0.162863i | ||||
\(16\) | −14711.8 | + | 83434.9i | −0.0561211 | + | 0.318279i | ||||
\(17\) | −46015.2 | − | 38611.3i | −0.133623 | − | 0.112123i | 0.573527 | − | 0.819187i | \(-0.305575\pi\) |
−0.707150 | + | 0.707064i | \(0.750019\pi\) | |||||||
\(18\) | 651168. | + | 237006.i | 1.46207 | + | 0.532149i | ||||
\(19\) | 168355. | + | 61276.2i | 0.296370 | + | 0.107870i | 0.485926 | − | 0.874000i | \(-0.338482\pi\) |
−0.189556 | + | 0.981870i | \(0.560705\pi\) | |||||||
\(20\) | −1.43467e6 | − | 1.20383e6i | −2.00501 | − | 1.68240i | ||||
\(21\) | 19132.5 | − | 108506.i | 0.0214677 | − | 0.121749i | ||||
\(22\) | −86008.9 | + | 487781.i | −0.0782783 | + | 0.443938i | ||||
\(23\) | −808154. | − | 1.39976e6i | −0.602170 | − | 1.04299i | −0.992492 | − | 0.122310i | \(-0.960970\pi\) |
0.390322 | − | 0.920678i | \(-0.372364\pi\) | |||||||
\(24\) | −83558.0 | + | 70113.5i | −0.0514088 | + | 0.0431371i | ||||
\(25\) | −4.04125e6 | + | 1.47089e6i | −2.06912 | + | 0.753097i | ||||
\(26\) | −1.95842e6 | + | 3.39207e6i | −0.840475 | + | 1.45574i | ||||
\(27\) | −254124. | − | 440156.i | −0.0920256 | − | 0.159393i | ||||
\(28\) | −4.87496e6 | − | 4.09058e6i | −1.49886 | − | 1.25769i | ||||
\(29\) | 526976. | − | 912749.i | 0.138357 | − | 0.239641i | −0.788518 | − | 0.615012i | \(-0.789151\pi\) |
0.926875 | + | 0.375371i | \(0.122485\pi\) | |||||||
\(30\) | 199938. | + | 1.13390e6i | 0.0450660 | + | 0.255582i | ||||
\(31\) | 2.66083e6 | 0.517476 | 0.258738 | − | 0.965948i | \(-0.416693\pi\) | ||||
0.258738 | + | 0.965948i | \(0.416693\pi\) | |||||||
\(32\) | −1.27034e6 | − | 7.20443e6i | −0.214163 | − | 1.21458i | ||||
\(33\) | 138548. | − | 116255.i | 0.0203370 | − | 0.0170647i | ||||
\(34\) | 2.00435e6 | + | 729525.i | 0.257229 | + | 0.0936236i | ||||
\(35\) | −1.99684e7 | + | 7.26792e6i | −2.24925 | + | 0.818661i | ||||
\(36\) | −1.46148e7 | −1.45022 | ||||||||
\(37\) | 1.01665e7 | − | 5.15792e6i | 0.891792 | − | 0.452447i | ||||
\(38\) | −6.36183e6 | −0.494943 | ||||||||
\(39\) | 1.34398e6 | − | 489168.i | 0.0930253 | − | 0.0338585i | ||||
\(40\) | 1.97686e7 | + | 7.19519e6i | 1.22097 | + | 0.444398i | ||||
\(41\) | 1.76143e7 | − | 1.47802e7i | 0.973506 | − | 0.816869i | −0.00959077 | − | 0.999954i | \(-0.503053\pi\) |
0.983097 | + | 0.183085i | \(0.0586084\pi\) | |||||||
\(42\) | 679382. | + | 3.85296e6i | 0.0336893 | + | 0.191062i | ||||
\(43\) | −2.57226e6 | −0.114738 | −0.0573690 | − | 0.998353i | \(-0.518271\pi\) | ||||
−0.0573690 | + | 0.998353i | \(0.518271\pi\) | |||||||
\(44\) | −1.81397e6 | − | 1.02875e7i | −0.0729614 | − | 0.413785i | ||||
\(45\) | −2.44009e7 | + | 4.22636e7i | −0.887052 | + | 1.53642i | ||||
\(46\) | 4.39663e7 | + | 3.68921e7i | 1.44780 | + | 1.21485i | ||||
\(47\) | 1.38722e7 | + | 2.40273e7i | 0.414671 | + | 0.718231i | 0.995394 | − | 0.0958700i | \(-0.0305633\pi\) |
−0.580723 | + | 0.814101i | \(0.697230\pi\) | |||||||
\(48\) | −549262. | + | 951349.i | −0.0149346 | + | 0.0258675i | ||||
\(49\) | −2.99321e7 | + | 1.08944e7i | −0.741746 | + | 0.269974i | ||||
\(50\) | 1.16984e8 | − | 9.81609e7i | 2.64704 | − | 2.22113i | ||||
\(51\) | −389431. | − | 674514.i | −0.00806054 | − | 0.0139613i | ||||
\(52\) | 1.43447e7 | − | 8.13529e7i | 0.272067 | − | 1.54297i | ||||
\(53\) | −1.04730e7 | + | 5.93955e7i | −0.182318 | + | 1.03398i | 0.747034 | + | 0.664786i | \(0.231477\pi\) |
−0.929353 | + | 0.369194i | \(0.879634\pi\) | |||||||
\(54\) | 1.38252e7 | + | 1.16007e7i | 0.221258 | + | 0.185658i | ||||
\(55\) | −3.27784e7 | − | 1.19303e7i | −0.483009 | − | 0.175801i | ||||
\(56\) | 6.71731e7 | + | 2.44490e7i | 0.912745 | + | 0.332212i | ||||
\(57\) | 1.77954e6 | + | 1.49321e6i | 0.0223291 | + | 0.0187363i | ||||
\(58\) | −6.49879e6 | + | 3.68565e7i | −0.0754062 | + | 0.427650i | ||||
\(59\) | 2.43887e7 | − | 1.38315e8i | 0.262032 | − | 1.48606i | −0.515322 | − | 0.856997i | \(-0.672328\pi\) |
0.777355 | − | 0.629063i | \(-0.216561\pi\) | |||||||
\(60\) | −1.21417e7 | − | 2.10301e7i | −0.120948 | − | 0.209489i | ||||
\(61\) | −9.79882e7 | + | 8.22219e7i | −0.906128 | + | 0.760332i | −0.971379 | − | 0.237537i | \(-0.923660\pi\) |
0.0652501 | + | 0.997869i | \(0.479215\pi\) | |||||||
\(62\) | −8.87862e7 | + | 3.23155e7i | −0.763102 | + | 0.277747i | ||||
\(63\) | −8.29134e7 | + | 1.43610e8i | −0.663120 | + | 1.14856i | ||||
\(64\) | 1.08196e8 | + | 1.87402e8i | 0.806127 | + | 1.39625i | ||||
\(65\) | −2.11308e8 | − | 1.77309e8i | −1.46827 | − | 1.23203i | ||||
\(66\) | −3.21112e6 | + | 5.56182e6i | −0.0208309 | + | 0.0360802i | ||||
\(67\) | −1.87150e7 | − | 1.06138e8i | −0.113463 | − | 0.643478i | −0.987500 | − | 0.157620i | \(-0.949618\pi\) |
0.874037 | − | 0.485859i | \(-0.161493\pi\) | |||||||
\(68\) | −4.49858e7 | −0.255144 | ||||||||
\(69\) | −3.63921e6 | − | 2.06390e7i | −0.0193280 | − | 0.109614i | ||||
\(70\) | 5.78035e8 | − | 4.85029e8i | 2.87748 | − | 2.41450i | ||||
\(71\) | −2.33614e8 | − | 8.50285e7i | −1.09103 | − | 0.397102i | −0.267027 | − | 0.963689i | \(-0.586041\pi\) |
−0.824002 | + | 0.566587i | \(0.808263\pi\) | |||||||
\(72\) | 1.54267e8 | − | 5.61485e7i | 0.676513 | − | 0.246231i | ||||
\(73\) | 4.04812e8 | 1.66840 | 0.834201 | − | 0.551460i | \(-0.185929\pi\) | ||||
0.834201 | + | 0.551460i | \(0.185929\pi\) | |||||||
\(74\) | −2.76591e8 | + | 2.95579e8i | −1.07225 | + | 1.14586i | ||||
\(75\) | −5.57626e7 | −0.203501 | ||||||||
\(76\) | 1.26082e8 | − | 4.58902e7i | 0.433504 | − | 0.157783i | ||||
\(77\) | −1.11380e8 | − | 4.05389e7i | −0.361076 | − | 0.131421i | ||||
\(78\) | −3.89047e7 | + | 3.26449e7i | −0.119008 | + | 0.0998596i | ||||
\(79\) | 1.07099e8 | + | 6.07389e8i | 0.309360 | + | 1.75446i | 0.602239 | + | 0.798316i | \(0.294275\pi\) |
−0.292880 | + | 0.956149i | \(0.594614\pi\) | |||||||
\(80\) | 2.11868e8 | 0.578310 | ||||||||
\(81\) | 6.55559e7 | + | 3.71786e8i | 0.169211 | + | 0.959644i | ||||
\(82\) | −4.08248e8 | + | 7.07106e8i | −0.997152 | + | 1.72712i | ||||
\(83\) | −1.24758e8 | − | 1.04685e8i | −0.288548 | − | 0.242121i | 0.487011 | − | 0.873396i | \(-0.338087\pi\) |
−0.775559 | + | 0.631275i | \(0.782532\pi\) | |||||||
\(84\) | −4.12572e7 | − | 7.14596e7i | −0.0904156 | − | 0.156604i | ||||
\(85\) | −7.51081e7 | + | 1.30091e8i | −0.156064 | + | 0.270310i | ||||
\(86\) | 8.58307e7 | − | 3.12398e7i | 0.169200 | − | 0.0615837i | ||||
\(87\) | 1.04686e7 | − | 8.78419e6i | 0.0195908 | − | 0.0164386i | ||||
\(88\) | 5.86709e7 | + | 1.01621e8i | 0.104292 | + | 0.180639i | ||||
\(89\) | −5.62499e7 | + | 3.19009e8i | −0.0950313 | + | 0.538949i | 0.899706 | + | 0.436495i | \(0.143780\pi\) |
−0.994738 | + | 0.102454i | \(0.967331\pi\) | |||||||
\(90\) | 3.00917e8 | − | 1.70659e9i | 0.483455 | − | 2.74181i | ||||
\(91\) | −7.18019e8 | − | 6.02489e8i | −1.09761 | − | 0.921007i | ||||
\(92\) | −1.13747e9 | − | 4.14004e8i | −1.65536 | − | 0.602503i | ||||
\(93\) | 3.24203e7 | + | 1.18000e7i | 0.0449411 | + | 0.0163572i | ||||
\(94\) | −7.54692e8 | − | 6.33262e8i | −0.996998 | − | 0.836581i | ||||
\(95\) | 7.78001e7 | − | 4.41226e8i | 0.0979995 | − | 0.555783i | ||||
\(96\) | 1.64714e7 | − | 9.34142e7i | 0.0197930 | − | 0.112252i | ||||
\(97\) | 5.44595e8 | + | 9.43267e8i | 0.624599 | + | 1.08184i | 0.988618 | + | 0.150445i | \(0.0480708\pi\) |
−0.364020 | + | 0.931391i | \(0.618596\pi\) | |||||||
\(98\) | 8.66458e8 | − | 7.27045e8i | 0.948921 | − | 0.796239i | ||||
\(99\) | −2.55790e8 | + | 9.30999e7i | −0.267624 | + | 0.0974072i | ||||
\(100\) | −1.61038e9 | + | 2.78926e9i | −1.61038 | + | 2.78926i | ||||
\(101\) | −7.41350e8 | − | 1.28406e9i | −0.708887 | − | 1.22783i | −0.965270 | − | 0.261253i | \(-0.915864\pi\) |
0.256383 | − | 0.966575i | \(-0.417469\pi\) | |||||||
\(102\) | 2.11863e7 | + | 1.77774e7i | 0.0193801 | + | 0.0162618i | ||||
\(103\) | −1.05690e9 | + | 1.83060e9i | −0.925262 | + | 1.60260i | −0.134122 | + | 0.990965i | \(0.542821\pi\) |
−0.791140 | + | 0.611635i | \(0.790512\pi\) | |||||||
\(104\) | 1.61133e8 | + | 9.13830e8i | 0.135062 | + | 0.765976i | ||||
\(105\) | −2.75532e8 | −0.221218 | ||||||||
\(106\) | −3.71889e8 | − | 2.10909e9i | −0.286113 | − | 1.62263i | ||||
\(107\) | 1.55884e9 | − | 1.30802e9i | 1.14967 | − | 0.964690i | 0.149960 | − | 0.988692i | \(-0.452085\pi\) |
0.999712 | + | 0.0240025i | \(0.00764096\pi\) | |||||||
\(108\) | −3.57676e8 | − | 1.30183e8i | −0.252978 | − | 0.0920765i | ||||
\(109\) | 2.24929e9 | − | 8.18674e8i | 1.52625 | − | 0.555510i | 0.563551 | − | 0.826081i | \(-0.309435\pi\) |
0.962700 | + | 0.270572i | \(0.0872127\pi\) | |||||||
\(110\) | 1.23863e9 | 0.806633 | ||||||||
\(111\) | 1.46745e8 | − | 1.77601e7i | 0.0917508 | − | 0.0111043i | ||||
\(112\) | 7.19921e8 | 0.432319 | ||||||||
\(113\) | 1.95330e9 | − | 7.10944e8i | 1.12698 | − | 0.410187i | 0.289785 | − | 0.957092i | \(-0.406416\pi\) |
0.837195 | + | 0.546904i | \(0.184194\pi\) | |||||||
\(114\) | −7.75141e7 | − | 2.82128e7i | −0.0429842 | − | 0.0156450i | ||||
\(115\) | −3.09633e9 | + | 2.59813e9i | −1.65085 | + | 1.38523i | ||||
\(116\) | −1.37063e8 | − | 7.77322e8i | −0.0702843 | − | 0.398602i | ||||
\(117\) | −2.15258e9 | −1.06200 | ||||||||
\(118\) | 8.66025e8 | + | 4.91147e9i | 0.411208 | + | 2.33208i | ||||
\(119\) | −2.55215e8 | + | 4.42045e8i | −0.116666 | + | 0.202072i | ||||
\(120\) | 2.08957e8 | + | 1.75336e8i | 0.0919903 | + | 0.0771890i | ||||
\(121\) | 1.08169e9 | + | 1.87354e9i | 0.458743 | + | 0.794566i | ||||
\(122\) | 2.27108e9 | − | 3.93362e9i | 0.928138 | − | 1.60758i | ||||
\(123\) | 2.80163e8 | − | 1.01971e8i | 0.110367 | − | 0.0401702i | ||||
\(124\) | 1.52651e9 | − | 1.28090e9i | 0.579833 | − | 0.486537i | ||||
\(125\) | 2.93523e9 | + | 5.08396e9i | 1.07534 | + | 1.86255i | ||||
\(126\) | 1.02251e9 | − | 5.79893e9i | 0.361409 | − | 2.04965i | ||||
\(127\) | 6.28995e8 | − | 3.56721e9i | 0.214551 | − | 1.21678i | −0.667133 | − | 0.744939i | \(-0.732479\pi\) |
0.881684 | − | 0.471840i | \(-0.156410\pi\) | |||||||
\(128\) | −3.01697e9 | − | 2.53154e9i | −0.993406 | − | 0.833567i | ||||
\(129\) | −3.13411e7 | − | 1.14072e7i | −0.00996462 | − | 0.00362682i | ||||
\(130\) | 9.20429e9 | + | 3.35009e9i | 2.82647 | + | 1.02875i | ||||
\(131\) | −5.92319e8 | − | 4.97015e8i | −0.175726 | − | 0.147451i | 0.550683 | − | 0.834715i | \(-0.314367\pi\) |
−0.726408 | + | 0.687263i | \(0.758812\pi\) | |||||||
\(132\) | 2.35203e7 | − | 1.33390e8i | 0.00674312 | − | 0.0382421i | ||||
\(133\) | 2.64362e8 | − | 1.49927e9i | 0.0732600 | − | 0.415478i | ||||
\(134\) | 1.91351e9 | + | 3.31430e9i | 0.512695 | + | 0.888014i | ||||
\(135\) | −9.73642e8 | + | 8.16982e8i | −0.252288 | + | 0.211695i | ||||
\(136\) | 4.74847e8 | − | 1.72830e8i | 0.119022 | − | 0.0433206i | ||||
\(137\) | 1.44521e9 | − | 2.50318e9i | 0.350501 | − | 0.607086i | −0.635836 | − | 0.771824i | \(-0.719345\pi\) |
0.986337 | + | 0.164738i | \(0.0526779\pi\) | |||||||
\(138\) | 3.72091e8 | + | 6.44480e8i | 0.0873359 | + | 0.151270i | ||||
\(139\) | −8.78461e8 | − | 7.37116e8i | −0.199598 | − | 0.167482i | 0.537511 | − | 0.843257i | \(-0.319365\pi\) |
−0.737108 | + | 0.675775i | \(0.763809\pi\) | |||||||
\(140\) | −7.95713e9 | + | 1.37822e10i | −1.75057 | + | 3.03208i | ||||
\(141\) | 6.24680e7 | + | 3.54273e8i | 0.0133098 | + | 0.0754836i | ||||
\(142\) | 8.82784e9 | 1.82204 | ||||||||
\(143\) | −2.67175e8 | − | 1.51522e9i | −0.0534297 | − | 0.303015i | ||||
\(144\) | 1.26653e9 | − | 1.06275e9i | 0.245462 | − | 0.205967i | ||||
\(145\) | −2.47672e9 | − | 9.01451e8i | −0.465286 | − | 0.169350i | ||||
\(146\) | −1.35077e10 | + | 4.91640e9i | −2.46033 | + | 0.895487i | ||||
\(147\) | −4.13014e8 | −0.0729520 | ||||||||
\(148\) | 3.34952e9 | − | 7.85312e9i | 0.573858 | − | 1.34544i | ||||
\(149\) | −8.78254e9 | −1.45976 | −0.729881 | − | 0.683574i | \(-0.760424\pi\) | ||||
−0.729881 | + | 0.683574i | \(0.760424\pi\) | |||||||
\(150\) | 1.86067e9 | − | 6.77230e8i | 0.300095 | − | 0.109226i | ||||
\(151\) | −6.16760e9 | − | 2.24482e9i | −0.965428 | − | 0.351387i | −0.189269 | − | 0.981925i | \(-0.560612\pi\) |
−0.776158 | + | 0.630538i | \(0.782834\pi\) | |||||||
\(152\) | −1.15456e9 | + | 9.68787e8i | −0.175436 | + | 0.147208i | ||||
\(153\) | 2.03556e8 | + | 1.15442e9i | 0.0300311 | + | 0.170315i | ||||
\(154\) | 4.20884e9 | 0.603002 | ||||||||
\(155\) | −1.15547e9 | − | 6.55298e9i | −0.160792 | − | 0.911898i | ||||
\(156\) | 5.35556e8 | − | 9.27609e8i | 0.0724009 | − | 0.125402i | ||||
\(157\) | 5.83306e9 | + | 4.89452e9i | 0.766210 | + | 0.642927i | 0.939735 | − | 0.341903i | \(-0.111071\pi\) |
−0.173525 | + | 0.984829i | \(0.555516\pi\) | |||||||
\(158\) | −1.09503e10 | − | 1.89665e10i | −1.39788 | − | 2.42120i | ||||
\(159\) | −3.91007e8 | + | 6.77245e8i | −0.0485174 | + | 0.0840347i | ||||
\(160\) | −1.71911e10 | + | 6.25705e9i | −2.07379 | + | 0.754796i | ||||
\(161\) | −1.05212e10 | + | 8.82837e9i | −1.23410 | + | 1.03553i | ||||
\(162\) | −6.70275e9 | − | 1.16095e10i | −0.764602 | − | 1.32433i | ||||
\(163\) | −1.20807e9 | + | 6.85129e9i | −0.134044 | + | 0.760200i | 0.841477 | + | 0.540293i | \(0.181687\pi\) |
−0.975521 | + | 0.219907i | \(0.929425\pi\) | |||||||
\(164\) | 2.99027e9 | − | 1.69587e10i | 0.322785 | − | 1.83060i | ||||
\(165\) | −3.46472e8 | − | 2.90725e8i | −0.0363907 | − | 0.0305354i | ||||
\(166\) | 5.43429e9 | + | 1.97792e9i | 0.555465 | + | 0.202173i | ||||
\(167\) | 3.65704e9 | + | 1.33105e9i | 0.363836 | + | 0.132425i | 0.517468 | − | 0.855703i | \(-0.326875\pi\) |
−0.153632 | + | 0.988128i | \(0.549097\pi\) | |||||||
\(168\) | 7.10030e8 | + | 5.95786e8i | 0.0687678 | + | 0.0577030i | ||||
\(169\) | 2.71338e8 | − | 1.53884e9i | 0.0255871 | − | 0.145112i | ||||
\(170\) | 9.26250e8 | − | 5.25303e9i | 0.0850566 | − | 0.482380i | ||||
\(171\) | −1.74814e9 | − | 3.02787e9i | −0.156348 | − | 0.270803i | ||||
\(172\) | −1.47570e9 | + | 1.23826e9i | −0.128564 | + | 0.107878i | ||||
\(173\) | −1.20517e10 | + | 4.38647e9i | −1.02292 | + | 0.372312i | −0.798381 | − | 0.602153i | \(-0.794310\pi\) |
−0.224539 | + | 0.974465i | \(0.572088\pi\) | |||||||
\(174\) | −2.42631e8 | + | 4.20249e8i | −0.0200666 | + | 0.0347564i | ||||
\(175\) | 1.82721e10 | + | 3.16482e10i | 1.47271 | + | 2.55081i | ||||
\(176\) | 9.05278e8 | + | 7.59618e8i | 0.0711172 | + | 0.0596744i | ||||
\(177\) | 9.10546e8 | − | 1.57711e9i | 0.0697304 | − | 0.120777i | ||||
\(178\) | −1.99739e9 | − | 1.13278e10i | −0.149133 | − | 0.845774i | ||||
\(179\) | 1.80142e10 | 1.31152 | 0.655760 | − | 0.754969i | \(-0.272348\pi\) | ||||
0.655760 | + | 0.754969i | \(0.272348\pi\) | |||||||
\(180\) | 6.34649e9 | + | 3.59928e10i | 0.450617 | + | 2.55558i | ||||
\(181\) | −1.84889e9 | + | 1.55141e9i | −0.128044 | + | 0.107442i | −0.704561 | − | 0.709644i | \(-0.748856\pi\) |
0.576517 | + | 0.817085i | \(0.304411\pi\) | |||||||
\(182\) | 3.12759e10 | + | 1.13835e10i | 2.11294 | + | 0.769049i | ||||
\(183\) | −1.55854e9 | + | 5.67263e8i | −0.102728 | + | 0.0373900i | ||||
\(184\) | 1.35971e10 | 0.874510 | ||||||||
\(185\) | −1.71175e10 | − | 2.27977e10i | −1.07440 | − | 1.43093i | ||||
\(186\) | −1.22510e9 | −0.0750524 | ||||||||
\(187\) | −7.87344e8 | + | 2.86570e8i | −0.0470844 | + | 0.0171373i | ||||
\(188\) | 1.95249e10 | + | 7.10647e9i | 1.13993 | + | 0.414900i | ||||
\(189\) | −3.30840e9 | + | 2.77608e9i | −0.188599 | + | 0.158254i | ||||
\(190\) | 2.76262e9 | + | 1.56676e10i | 0.153791 | + | 0.872191i | ||||
\(191\) | −3.07122e9 | −0.166979 | −0.0834893 | − | 0.996509i | \(-0.526606\pi\) | ||||
−0.0834893 | + | 0.996509i | \(0.526606\pi\) | |||||||
\(192\) | 4.87222e8 | + | 2.76317e9i | 0.0258744 | + | 0.146741i | ||||
\(193\) | 7.43273e9 | − | 1.28739e10i | 0.385603 | − | 0.667884i | −0.606250 | − | 0.795274i | \(-0.707327\pi\) |
0.991853 | + | 0.127390i | \(0.0406601\pi\) | |||||||
\(194\) | −2.96278e10 | − | 2.48607e10i | −1.50173 | − | 1.26010i | ||||
\(195\) | −1.78832e9 | − | 3.09746e9i | −0.0885707 | − | 0.153409i | ||||
\(196\) | −1.19275e10 | + | 2.06591e10i | −0.577295 | + | 0.999905i | ||||
\(197\) | 2.04846e10 | − | 7.45579e9i | 0.969014 | − | 0.352692i | 0.191454 | − | 0.981502i | \(-0.438680\pi\) |
0.777559 | + | 0.628809i | \(0.216457\pi\) | |||||||
\(198\) | 7.40446e9 | − | 6.21308e9i | 0.342373 | − | 0.287285i | ||||
\(199\) | −7.30791e9 | − | 1.26577e10i | −0.330335 | − | 0.572157i | 0.652242 | − | 0.758010i | \(-0.273828\pi\) |
−0.982577 | + | 0.185853i | \(0.940495\pi\) | |||||||
\(200\) | 6.28233e9 | − | 3.56289e10i | 0.277642 | − | 1.57459i | ||||
\(201\) | 2.42662e8 | − | 1.37621e9i | 0.0104862 | − | 0.0594705i | ||||
\(202\) | 4.03319e10 | + | 3.38425e10i | 1.70439 | + | 1.43015i | ||||
\(203\) | −8.41580e9 | − | 3.06310e9i | −0.347827 | − | 0.126599i | ||||
\(204\) | −5.48118e8 | − | 1.99499e8i | −0.0221584 | − | 0.00806500i | ||||
\(205\) | −4.40490e10 | − | 3.69615e10i | −1.74198 | − | 1.46170i | ||||
\(206\) | 1.30339e10 | − | 7.39189e10i | 0.504280 | − | 2.85991i | ||||
\(207\) | −5.47722e9 | + | 3.10629e10i | −0.207345 | + | 1.17591i | ||||
\(208\) | 4.67261e9 | + | 8.09319e9i | 0.173091 | + | 0.299802i | ||||
\(209\) | 1.91437e9 | − | 1.60635e9i | 0.0694013 | − | 0.0582346i | ||||
\(210\) | 9.19388e9 | − | 3.34630e9i | 0.326221 | − | 0.118735i | ||||
\(211\) | 2.00321e10 | − | 3.46966e10i | 0.695753 | − | 1.20508i | −0.274174 | − | 0.961680i | \(-0.588404\pi\) |
0.969926 | − | 0.243399i | \(-0.0782623\pi\) | |||||||
\(212\) | 2.25840e10 | + | 3.91166e10i | 0.767872 | + | 1.32999i | ||||
\(213\) | −2.46933e9 | − | 2.07202e9i | −0.0822000 | − | 0.0689740i | ||||
\(214\) | −3.61292e10 | + | 6.25777e10i | −1.17760 | + | 2.03966i | ||||
\(215\) | 1.11701e9 | + | 6.33485e9i | 0.0356519 | + | 0.202192i | ||||
\(216\) | 4.27559e9 | 0.133646 | ||||||||
\(217\) | −3.92624e9 | − | 2.22668e10i | −0.120201 | − | 0.681694i | ||||
\(218\) | −6.51111e10 | + | 5.46347e10i | −1.95254 | + | 1.63838i | ||||
\(219\) | 4.93234e9 | + | 1.79522e9i | 0.144895 | + | 0.0527376i | ||||
\(220\) | −2.45480e10 | + | 8.93473e9i | −0.706502 | + | 0.257146i | ||||
\(221\) | −6.62583e9 | −0.186842 | ||||||||
\(222\) | −4.68086e9 | + | 2.37481e9i | −0.129341 | + | 0.0656208i | ||||
\(223\) | 5.64585e10 | 1.52882 | 0.764412 | − | 0.644728i | \(-0.223029\pi\) | ||||
0.764412 | + | 0.644728i | \(0.223029\pi\) | |||||||
\(224\) | −5.84148e10 | + | 2.12613e10i | −1.55027 | + | 0.564252i | ||||
\(225\) | 7.88644e10 | + | 2.87043e10i | 2.05144 | + | 0.746665i | ||||
\(226\) | −5.65430e10 | + | 4.74452e10i | −1.44175 | + | 1.20978i | ||||
\(227\) | 9.79469e9 | + | 5.55484e10i | 0.244835 | + | 1.38853i | 0.820875 | + | 0.571108i | \(0.193486\pi\) |
−0.576039 | + | 0.817422i | \(0.695402\pi\) | |||||||
\(228\) | 1.73973e9 | 0.0426358 | ||||||||
\(229\) | −1.05499e10 | − | 5.98312e10i | −0.253505 | − | 1.43770i | −0.799881 | − | 0.600159i | \(-0.795104\pi\) |
0.546376 | − | 0.837540i | \(-0.316007\pi\) | |||||||
\(230\) | 7.17638e10 | − | 1.24299e11i | 1.69095 | − | 2.92881i | ||||
\(231\) | −1.17730e9 | − | 9.87873e8i | −0.0272041 | − | 0.0228269i | ||||
\(232\) | 4.43314e9 | + | 7.67843e9i | 0.100465 | + | 0.174011i | ||||
\(233\) | −1.66198e10 | + | 2.87864e10i | −0.369424 | + | 0.639861i | −0.989476 | − | 0.144700i | \(-0.953778\pi\) |
0.620052 | + | 0.784561i | \(0.287112\pi\) | |||||||
\(234\) | 7.18268e10 | − | 2.61428e10i | 1.56608 | − | 0.570008i | ||||
\(235\) | 5.31493e10 | − | 4.45976e10i | 1.13682 | − | 0.953906i | ||||
\(236\) | −5.25917e10 | − | 9.10915e10i | −1.10360 | − | 1.91150i | ||||
\(237\) | −1.38867e9 | + | 7.87553e9i | −0.0285911 | + | 0.162148i | ||||
\(238\) | 3.14737e9 | − | 1.78496e10i | 0.0635845 | − | 0.360606i | ||||
\(239\) | 1.55873e9 | + | 1.30793e9i | 0.0309015 | + | 0.0259294i | 0.658108 | − | 0.752924i | \(-0.271357\pi\) |
−0.627206 | + | 0.778853i | \(0.715802\pi\) | |||||||
\(240\) | 2.58146e9 | + | 9.39573e8i | 0.0502243 | + | 0.0182802i | ||||
\(241\) | 9.43994e9 | + | 3.43586e9i | 0.180257 | + | 0.0656082i | 0.430572 | − | 0.902556i | \(-0.358312\pi\) |
−0.250315 | + | 0.968165i | \(0.580534\pi\) | |||||||
\(242\) | −5.88476e10 | − | 4.93790e10i | −1.10296 | − | 0.925494i | ||||
\(243\) | −2.58716e9 | + | 1.46725e10i | −0.0475987 | + | 0.269946i | ||||
\(244\) | −1.66348e10 | + | 9.43408e10i | −0.300445 | + | 1.70391i | ||||
\(245\) | 3.98283e10 | + | 6.89846e10i | 0.706227 | + | 1.22322i | ||||
\(246\) | −8.11000e9 | + | 6.80510e9i | −0.141193 | + | 0.118475i | ||||
\(247\) | 1.85703e10 | − | 6.75904e9i | 0.317455 | − | 0.115544i | ||||
\(248\) | −1.11920e10 | + | 1.93852e10i | −0.187878 | + | 0.325414i | ||||
\(249\) | −1.05584e9 | − | 1.82877e9i | −0.0174061 | − | 0.0301483i | ||||
\(250\) | −1.59686e11 | − | 1.33993e11i | −2.58545 | − | 2.16945i | ||||
\(251\) | −2.92309e9 | + | 5.06295e9i | −0.0464848 | + | 0.0805140i | −0.888332 | − | 0.459202i | \(-0.848135\pi\) |
0.841847 | + | 0.539717i | \(0.181469\pi\) | |||||||
\(252\) | 2.15652e10 | + | 1.22302e11i | 0.336861 | + | 1.91043i | ||||
\(253\) | −2.25453e10 | −0.345950 | ||||||||
\(254\) | 2.23351e10 | + | 1.26669e11i | 0.336695 | + | 1.90949i | ||||
\(255\) | −1.49205e9 | + | 1.25198e9i | −0.0220980 | + | 0.0185424i | ||||
\(256\) | 2.73035e10 | + | 9.93767e9i | 0.397319 | + | 0.144612i | ||||
\(257\) | 1.01083e11 | − | 3.67911e10i | 1.44536 | − | 0.526070i | 0.504072 | − | 0.863662i | \(-0.331835\pi\) |
0.941293 | + | 0.337592i | \(0.109612\pi\) | |||||||
\(258\) | 1.18432e9 | 0.0166411 | ||||||||
\(259\) | −5.81647e10 | − | 7.74660e10i | −0.803176 | − | 1.06970i | ||||
\(260\) | −2.06581e11 | −2.80357 | ||||||||
\(261\) | −1.93274e10 | + | 7.03458e9i | −0.257804 | + | 0.0938331i | ||||
\(262\) | 2.58006e10 | + | 9.39064e9i | 0.338278 | + | 0.123123i | ||||
\(263\) | −7.96986e9 | + | 6.68751e9i | −0.102719 | + | 0.0861913i | −0.692701 | − | 0.721225i | \(-0.743579\pi\) |
0.589982 | + | 0.807416i | \(0.299135\pi\) | |||||||
\(264\) | 2.64202e8 | + | 1.49836e9i | 0.00334748 | + | 0.0189845i | ||||
\(265\) | 1.50824e11 | 1.87873 | ||||||||
\(266\) | 9.38730e9 | + | 5.32380e10i | 0.114967 | + | 0.652011i | ||||
\(267\) | −2.10007e9 | + | 3.63743e9i | −0.0252891 | + | 0.0438020i | ||||
\(268\) | −6.18303e10 | − | 5.18818e10i | −0.732141 | − | 0.614339i | ||||
\(269\) | −2.37672e10 | − | 4.11661e10i | −0.276754 | − | 0.479351i | 0.693822 | − | 0.720146i | \(-0.255925\pi\) |
−0.970576 | + | 0.240795i | \(0.922592\pi\) | |||||||
\(270\) | 2.25661e10 | − | 3.90857e10i | 0.258416 | − | 0.447590i | ||||
\(271\) | −8.05334e9 | + | 2.93118e9i | −0.0907015 | + | 0.0330126i | −0.386972 | − | 0.922091i | \(-0.626479\pi\) |
0.296271 | + | 0.955104i | \(0.404257\pi\) | |||||||
\(272\) | 3.89850e9 | − | 3.27123e9i | 0.0431854 | − | 0.0362369i | ||||
\(273\) | −6.07666e9 | − | 1.05251e10i | −0.0662114 | − | 0.114682i | ||||
\(274\) | −1.78227e10 | + | 1.01078e11i | −0.191028 | + | 1.08337i | ||||
\(275\) | −1.04167e10 | + | 5.90762e10i | −0.109833 | + | 0.622896i | ||||
\(276\) | −1.20232e10 | − | 1.00886e10i | −0.124718 | − | 0.104651i | ||||
\(277\) | 4.74513e10 | + | 1.72709e10i | 0.484272 | + | 0.176261i | 0.572607 | − | 0.819830i | \(-0.305932\pi\) |
−0.0883347 | + | 0.996091i | \(0.528154\pi\) | |||||||
\(278\) | 3.82645e10 | + | 1.39271e10i | 0.384233 | + | 0.139849i | ||||
\(279\) | −3.97775e10 | − | 3.33773e10i | −0.393024 | − | 0.329786i | ||||
\(280\) | 3.10420e10 | − | 1.76048e11i | 0.301813 | − | 1.71167i | ||||
\(281\) | 8.46391e9 | − | 4.80012e10i | 0.0809827 | − | 0.459276i | −0.917169 | − | 0.398499i | \(-0.869531\pi\) |
0.998151 | − | 0.0607766i | \(-0.0193577\pi\) | |||||||
\(282\) | −6.38703e9 | − | 1.10627e10i | −0.0601420 | − | 0.104169i | ||||
\(283\) | 4.58940e9 | − | 3.85096e9i | 0.0425321 | − | 0.0356887i | −0.621274 | − | 0.783594i | \(-0.713385\pi\) |
0.663806 | + | 0.747905i | \(0.268940\pi\) | |||||||
\(284\) | −1.74955e11 | + | 6.36785e10i | −1.59586 | + | 0.580845i | ||||
\(285\) | 2.90464e9 | − | 5.03099e9i | 0.0260790 | − | 0.0451702i | ||||
\(286\) | 2.73172e10 | + | 4.73148e10i | 0.241429 | + | 0.418167i | ||||
\(287\) | −1.49677e11 | − | 1.25594e11i | −1.30223 | − | 1.09270i | ||||
\(288\) | −7.13813e10 | + | 1.23636e11i | −0.611390 | + | 1.05896i | ||||
\(289\) | −1.99660e10 | − | 1.13233e11i | −0.168365 | − | 0.954843i | ||||
\(290\) | 9.35906e10 | 0.777036 | ||||||||
\(291\) | 2.45238e9 | + | 1.39081e10i | 0.0200479 | + | 0.113697i | ||||
\(292\) | 2.32239e11 | − | 1.94872e11i | 1.86945 | − | 1.56865i | ||||
\(293\) | 7.28387e10 | + | 2.65111e10i | 0.577375 | + | 0.210147i | 0.614167 | − | 0.789176i | \(-0.289492\pi\) |
−0.0367929 | + | 0.999323i | \(0.511714\pi\) | |||||||
\(294\) | 1.37814e10 | − | 5.01601e9i | 0.107579 | − | 0.0391557i | ||||
\(295\) | −3.51227e11 | −2.70016 | ||||||||
\(296\) | −5.18501e9 | + | 9.57619e10i | −0.0392588 | + | 0.725071i | ||||
\(297\) | −7.08937e9 | −0.0528693 | ||||||||
\(298\) | 2.93054e11 | − | 1.06663e11i | 2.15265 | − | 0.783502i | ||||
\(299\) | −1.67534e11 | − | 6.09774e10i | −1.21222 | − | 0.441213i | ||||
\(300\) | −3.19908e10 | + | 2.68435e10i | −0.228023 | + | 0.191334i | ||||
\(301\) | 3.79555e9 | + | 2.15256e10i | 0.0266517 | + | 0.151149i | ||||
\(302\) | 2.33062e11 | 1.61228 | ||||||||
\(303\) | −3.33839e9 | − | 1.89329e10i | −0.0227533 | − | 0.129040i | ||||
\(304\) | −7.58938e9 | + | 1.31452e10i | −0.0509654 | + | 0.0882746i | ||||
\(305\) | 2.45044e11 | + | 2.05616e11i | 1.62142 | + | 1.36053i | ||||
\(306\) | −2.08125e10 | − | 3.60483e10i | −0.135699 | − | 0.235038i | ||||
\(307\) | −1.99719e10 | + | 3.45924e10i | −0.128321 | + | 0.222258i | −0.923026 | − | 0.384737i | \(-0.874292\pi\) |
0.794705 | + | 0.606995i | \(0.207625\pi\) | |||||||
\(308\) | −8.34132e10 | + | 3.03599e10i | −0.528149 | + | 0.192231i | ||||
\(309\) | −2.09956e10 | + | 1.76174e10i | −0.131013 | + | 0.109933i | ||||
\(310\) | 1.18141e11 | + | 2.04625e11i | 0.726560 | + | 1.25844i | ||||
\(311\) | −4.09630e10 | + | 2.32313e11i | −0.248296 | + | 1.40816i | 0.564415 | + | 0.825491i | \(0.309102\pi\) |
−0.812711 | + | 0.582667i | \(0.802009\pi\) | |||||||
\(312\) | −2.08928e9 | + | 1.18489e10i | −0.0124825 | + | 0.0707918i | ||||
\(313\) | −1.16495e11 | − | 9.77506e10i | −0.686051 | − | 0.575665i | 0.231717 | − | 0.972783i | \(-0.425566\pi\) |
−0.917767 | + | 0.397118i | \(0.870010\pi\) | |||||||
\(314\) | −2.54080e11 | − | 9.24775e10i | −1.47498 | − | 0.536849i | ||||
\(315\) | 3.89682e11 | + | 1.41833e11i | 2.23004 | + | 0.811668i | ||||
\(316\) | 3.53832e11 | + | 2.96901e11i | 1.99621 | + | 1.67502i | ||||
\(317\) | 1.42762e10 | − | 8.09646e10i | 0.0794049 | − | 0.450328i | −0.919019 | − | 0.394212i | \(-0.871017\pi\) |
0.998424 | − | 0.0561152i | \(-0.0178714\pi\) | |||||||
\(318\) | 4.82199e9 | − | 2.73469e10i | 0.0264426 | − | 0.149964i | ||||
\(319\) | −7.35060e9 | − | 1.27316e10i | −0.0397434 | − | 0.0688375i | ||||
\(320\) | 4.14540e11 | − | 3.47841e11i | 2.21000 | − | 1.85441i | ||||
\(321\) | 2.47940e10 | − | 9.02427e9i | 0.130339 | − | 0.0474394i | ||||
\(322\) | 2.43851e11 | − | 4.22362e11i | 1.26408 | − | 2.18944i | ||||
\(323\) | −5.38093e9 | − | 9.32004e9i | −0.0275072 | − | 0.0476438i | ||||
\(324\) | 2.16583e11 | + | 1.81734e11i | 1.09187 | + | 0.916188i | ||||
\(325\) | −2.37188e11 | + | 4.10822e11i | −1.17928 | + | 2.04258i | ||||
\(326\) | −4.28976e10 | − | 2.43284e11i | −0.210355 | − | 1.19298i | ||||
\(327\) | 3.10365e10 | 0.150109 | ||||||||
\(328\) | 3.35895e10 | + | 1.90495e11i | 0.160240 | + | 0.908766i | ||||
\(329\) | 1.80600e11 | − | 1.51541e11i | 0.849836 | − | 0.713097i | ||||
\(330\) | 1.50918e10 | + | 5.49298e9i | 0.0700534 | + | 0.0254973i | ||||
\(331\) | −3.40067e10 | + | 1.23774e10i | −0.155718 | + | 0.0566767i | −0.418703 | − | 0.908123i | \(-0.637515\pi\) |
0.262985 | + | 0.964800i | \(0.415293\pi\) | |||||||
\(332\) | −1.21967e11 | −0.550963 | ||||||||
\(333\) | −2.16682e11 | − | 5.04205e10i | −0.965660 | − | 0.224703i | ||||
\(334\) | −1.38193e11 | −0.607612 | ||||||||
\(335\) | −2.53265e11 | + | 9.21808e10i | −1.09868 | + | 0.399888i | ||||
\(336\) | 8.77170e9 | + | 3.19264e9i | 0.0375454 | + | 0.0136654i | ||||
\(337\) | −2.71900e10 | + | 2.28151e10i | −0.114835 | + | 0.0963581i | −0.698397 | − | 0.715711i | \(-0.746103\pi\) |
0.583562 | + | 0.812069i | \(0.301659\pi\) | |||||||
\(338\) | 9.63502e9 | + | 5.46429e10i | 0.0401539 | + | 0.227724i | ||||
\(339\) | 2.69524e10 | 0.110840 | ||||||||
\(340\) | 1.95351e10 | + | 1.10789e11i | 0.0792793 | + | 0.449615i | ||||
\(341\) | 1.85575e10 | − | 3.21425e10i | 0.0743233 | − | 0.128732i | ||||
\(342\) | 9.51046e10 | + | 7.98022e10i | 0.375910 | + | 0.315426i | ||||
\(343\) | −3.61163e10 | − | 6.25552e10i | −0.140890 | − | 0.244028i | ||||
\(344\) | 1.08195e10 | − | 1.87399e10i | 0.0416575 | − | 0.0721529i | ||||
\(345\) | −4.92485e10 | + | 1.79250e10i | −0.187157 | + | 0.0681197i | ||||
\(346\) | 3.48866e11 | − | 2.92734e11i | 1.30863 | − | 1.09807i | ||||
\(347\) | 1.35774e11 | + | 2.35167e11i | 0.502728 | + | 0.870751i | 0.999995 | + | 0.00315340i | \(0.00100376\pi\) |
−0.497267 | + | 0.867598i | \(0.665663\pi\) | |||||||
\(348\) | 1.77718e9 | − | 1.00789e10i | 0.00649570 | − | 0.0368389i | ||||
\(349\) | −1.09340e10 | + | 6.20098e10i | −0.0394516 | + | 0.223741i | −0.998159 | − | 0.0606536i | \(-0.980681\pi\) |
0.958707 | + | 0.284395i | \(0.0917926\pi\) | |||||||
\(350\) | −9.94063e11 | − | 8.34118e11i | −3.54085 | − | 2.97113i | ||||
\(351\) | −5.26811e10 | − | 1.91743e10i | −0.185256 | − | 0.0674277i | ||||
\(352\) | −9.58884e10 | − | 3.49005e10i | −0.332908 | − | 0.121169i | ||||
\(353\) | −3.51154e11 | − | 2.94653e11i | −1.20368 | − | 1.01001i | −0.999517 | − | 0.0310723i | \(-0.990108\pi\) |
−0.204165 | − | 0.978937i | \(-0.565448\pi\) | |||||||
\(354\) | −1.12291e10 | + | 6.36832e10i | −0.0380040 | + | 0.215531i | ||||
\(355\) | −1.07957e11 | + | 6.12257e11i | −0.360766 | + | 2.04600i | ||||
\(356\) | 1.21297e11 | + | 2.10092e11i | 0.400244 | + | 0.693243i | ||||
\(357\) | −5.06994e9 | + | 4.25418e9i | −0.0165195 | + | 0.0138615i | ||||
\(358\) | −6.01092e11 | + | 2.18780e11i | −1.93405 | + | 0.703937i | ||||
\(359\) | −2.29967e11 | + | 3.98315e11i | −0.730702 | + | 1.26561i | 0.225881 | + | 0.974155i | \(0.427474\pi\) |
−0.956583 | + | 0.291459i | \(0.905859\pi\) | |||||||
\(360\) | −2.05270e11 | − | 3.55539e11i | −0.644117 | − | 1.11564i | ||||
\(361\) | −2.22604e11 | − | 1.86787e11i | −0.689845 | − | 0.578849i | ||||
\(362\) | 4.28519e10 | − | 7.42216e10i | 0.131154 | − | 0.227165i | ||||
\(363\) | 4.87098e9 | + | 2.76247e10i | 0.0147244 | + | 0.0835061i | ||||
\(364\) | −7.01956e11 | −2.09582 | ||||||||
\(365\) | −1.75790e11 | − | 9.96953e11i | −0.518413 | − | 2.94006i | ||||
\(366\) | 4.51158e10 | − | 3.78567e10i | 0.131421 | − | 0.110275i | ||||
\(367\) | 4.27780e11 | + | 1.55699e11i | 1.23090 | + | 0.448012i | 0.873907 | − | 0.486094i | \(-0.161579\pi\) |
0.356996 | + | 0.934106i | \(0.383801\pi\) | |||||||
\(368\) | 1.28679e11 | − | 4.68352e10i | 0.365756 | − | 0.133124i | ||||
\(369\) | −4.48723e11 | −1.25997 | ||||||||
\(370\) | 8.48049e11 | + | 5.52820e11i | 2.35241 | + | 1.53347i | ||||
\(371\) | 5.12496e11 | 1.40446 | ||||||||
\(372\) | 2.42798e10 | − | 8.83712e9i | 0.0657358 | − | 0.0239259i | ||||
\(373\) | −2.17562e10 | − | 7.91859e9i | −0.0581959 | − | 0.0211816i | 0.312758 | − | 0.949833i | \(-0.398747\pi\) |
−0.370954 | + | 0.928651i | \(0.620969\pi\) | |||||||
\(374\) | 2.27916e10 | − | 1.91244e10i | 0.0602354 | − | 0.0505435i | ||||
\(375\) | 1.32177e10 | + | 7.49611e10i | 0.0345155 | + | 0.195747i | ||||
\(376\) | −2.33397e11 | −0.602212 | ||||||||
\(377\) | −2.01876e10 | − | 1.14489e11i | −0.0514693 | − | 0.291897i | ||||
\(378\) | 7.66789e10 | − | 1.32812e11i | 0.193180 | − | 0.334598i | ||||
\(379\) | −1.97085e11 | − | 1.65374e11i | −0.490656 | − | 0.411709i | 0.363606 | − | 0.931553i | \(-0.381546\pi\) |
−0.854261 | + | 0.519844i | \(0.825990\pi\) | |||||||
\(380\) | −1.67768e11 | − | 2.90582e11i | −0.412745 | − | 0.714895i | ||||
\(381\) | 2.34834e10 | − | 4.06744e10i | 0.0570949 | − | 0.0988914i | ||||
\(382\) | 1.02480e11 | − | 3.72996e10i | 0.246237 | − | 0.0896230i | ||||
\(383\) | −4.68838e11 | + | 3.93401e11i | −1.11334 | + | 0.934203i | −0.998249 | − | 0.0591515i | \(-0.981160\pi\) |
−0.115091 | + | 0.993355i | \(0.536716\pi\) | |||||||
\(384\) | −2.55329e10 | − | 4.42243e10i | −0.0599253 | − | 0.103794i | ||||
\(385\) | −5.14707e10 | + | 2.91905e11i | −0.119395 | + | 0.677124i | ||||
\(386\) | −9.16622e10 | + | 5.19842e11i | −0.210159 | + | 1.19187i | ||||
\(387\) | 3.84534e10 | + | 3.22663e10i | 0.0871437 | + | 0.0731222i | ||||
\(388\) | 7.66510e11 | + | 2.78987e11i | 1.71702 | + | 0.624944i | ||||
\(389\) | 1.97947e10 | + | 7.20468e9i | 0.0438304 | + | 0.0159530i | 0.363842 | − | 0.931461i | \(-0.381465\pi\) |
−0.320012 | + | 0.947414i | \(0.603687\pi\) | |||||||
\(390\) | 9.72907e10 | + | 8.16366e10i | 0.212951 | + | 0.178687i | ||||
\(391\) | −1.68594e10 | + | 9.56142e10i | −0.0364793 | + | 0.206884i | ||||
\(392\) | 4.65311e10 | − | 2.63891e11i | 0.0995304 | − | 0.564465i | ||||
\(393\) | −5.01285e9 | − | 8.68252e9i | −0.0106003 | − | 0.0183603i | ||||
\(394\) | −5.92977e11 | + | 4.97567e11i | −1.23967 | + | 1.04020i | ||||
\(395\) | 1.44934e12 | − | 5.27517e11i | 2.99560 | − | 1.09031i | ||||
\(396\) | −1.01929e11 | + | 1.76545e11i | −0.208290 | + | 0.360768i | ||||
\(397\) | −2.03524e11 | − | 3.52514e11i | −0.411205 | − | 0.712229i | 0.583817 | − | 0.811886i | \(-0.301559\pi\) |
−0.995022 | + | 0.0996571i | \(0.968225\pi\) | |||||||
\(398\) | 3.97575e11 | + | 3.33605e11i | 0.794228 | + | 0.666436i | ||||
\(399\) | 9.86988e9 | − | 1.70951e10i | 0.0194955 | − | 0.0337672i | ||||
\(400\) | −6.32697e10 | − | 3.58820e11i | −0.123574 | − | 0.700821i | ||||
\(401\) | 6.52837e11 | 1.26083 | 0.630413 | − | 0.776260i | \(-0.282885\pi\) | ||||
0.630413 | + | 0.776260i | \(0.282885\pi\) | |||||||
\(402\) | 8.61676e9 | + | 4.88681e10i | 0.0164561 | + | 0.0933272i | ||||
\(403\) | 2.24836e11 | − | 1.88659e11i | 0.424612 | − | 0.356292i | ||||
\(404\) | −1.04344e12 | − | 3.79781e11i | −1.94873 | − | 0.709279i | ||||
\(405\) | 8.87149e11 | − | 3.22896e11i | 1.63851 | − | 0.596369i | ||||
\(406\) | 3.18018e11 | 0.580877 | ||||||||
\(407\) | 8.59727e9 | − | 1.58783e11i | 0.0155305 | − | 0.286833i | ||||
\(408\) | 6.55211e9 | 0.0117060 | ||||||||
\(409\) | −5.03616e11 | + | 1.83301e11i | −0.889907 | + | 0.323900i | −0.746201 | − | 0.665721i | \(-0.768124\pi\) |
−0.143706 | + | 0.989620i | \(0.545902\pi\) | |||||||
\(410\) | 1.91871e12 | + | 6.98353e11i | 3.35337 | + | 1.22053i | ||||
\(411\) | 2.87097e10 | − | 2.40903e10i | 0.0496296 | − | 0.0416442i | ||||
\(412\) | 2.74891e11 | + | 1.55898e12i | 0.470027 | + | 2.66566i | ||||
\(413\) | −1.19346e12 | −2.01852 | ||||||||
\(414\) | −1.94492e11 | − | 1.10302e12i | −0.325387 | − | 1.84536i | ||||
\(415\) | −2.03636e11 | + | 3.52708e11i | −0.337007 | + | 0.583713i | ||||
\(416\) | −6.18152e11 | − | 5.18691e11i | −1.01199 | − | 0.849159i | ||||
\(417\) | −7.43450e9 | − | 1.28769e10i | −0.0120404 | − | 0.0208545i | ||||
\(418\) | −4.43694e10 | + | 7.68501e10i | −0.0710870 | + | 0.123126i | ||||
\(419\) | 1.95906e11 | − | 7.13040e10i | 0.310517 | − | 0.113019i | −0.182061 | − | 0.983287i | \(-0.558277\pi\) |
0.492578 | + | 0.870268i | \(0.336055\pi\) | |||||||
\(420\) | −1.58072e11 | + | 1.32638e11i | −0.247875 | + | 0.207991i | ||||
\(421\) | 2.47129e11 | + | 4.28039e11i | 0.383401 | + | 0.664071i | 0.991546 | − | 0.129755i | \(-0.0414192\pi\) |
−0.608145 | + | 0.793826i | \(0.708086\pi\) | |||||||
\(422\) | −2.47040e11 | + | 1.40104e12i | −0.379194 | + | 2.15052i | ||||
\(423\) | 9.40178e10 | − | 5.33202e11i | 0.142784 | − | 0.809766i | ||||
\(424\) | −3.88666e11 | − | 3.26130e11i | −0.584023 | − | 0.490054i | ||||
\(425\) | 2.42752e11 | + | 8.83544e10i | 0.360921 | + | 0.131364i | ||||
\(426\) | 1.07561e11 | + | 3.91489e10i | 0.158238 | + | 0.0575939i | ||||
\(427\) | 8.32651e11 | + | 6.98677e11i | 1.21210 | + | 1.01707i | ||||
\(428\) | 2.64634e11 | − | 1.50081e12i | 0.381196 | − | 2.16187i | ||||
\(429\) | 3.46424e9 | − | 1.96467e10i | 0.00493799 | − | 0.0280047i | ||||
\(430\) | −1.14208e11 | − | 1.97814e11i | −0.161097 | − | 0.279029i | ||||
\(431\) | −1.01886e12 | + | 8.54928e11i | −1.42222 | + | 1.19339i | −0.472089 | + | 0.881551i | \(0.656500\pi\) |
−0.950136 | + | 0.311837i | \(0.899056\pi\) | |||||||
\(432\) | 4.04630e10 | − | 1.47273e10i | 0.0558960 | − | 0.0203445i | ||||
\(433\) | 5.85682e11 | − | 1.01443e12i | 0.800694 | − | 1.38684i | −0.118466 | − | 0.992958i | \(-0.537798\pi\) |
0.919160 | − | 0.393884i | \(-0.128869\pi\) | |||||||
\(434\) | 4.01438e11 | + | 6.95311e11i | 0.543143 | + | 0.940752i | ||||
\(435\) | −2.61793e10 | − | 2.19670e10i | −0.0350555 | − | 0.0294150i | ||||
\(436\) | 8.96309e11 | − | 1.55245e12i | 1.18787 | − | 2.05745i | ||||
\(437\) | −5.02845e10 | − | 2.85178e11i | −0.0659581 | − | 0.374067i | ||||
\(438\) | −1.86384e11 | −0.241978 | ||||||||
\(439\) | 1.21264e11 | + | 6.87723e11i | 0.155827 | + | 0.883737i | 0.958026 | + | 0.286681i | \(0.0925519\pi\) |
−0.802200 | + | 0.597056i | \(0.796337\pi\) | |||||||
\(440\) | 2.24790e11 | − | 1.88621e11i | 0.285916 | − | 0.239912i | ||||
\(441\) | 5.84122e11 | + | 2.12603e11i | 0.735411 | + | 0.267668i | ||||
\(442\) | 2.21089e11 | − | 8.04699e10i | 0.275529 | − | 0.100284i | ||||
\(443\) | 4.72079e11 | 0.582368 | 0.291184 | − | 0.956667i | \(-0.405951\pi\) | ||||
0.291184 | + | 0.956667i | \(0.405951\pi\) | |||||||
\(444\) | 7.56376e10 | − | 8.08303e10i | 0.0923665 | − | 0.0987076i | ||||
\(445\) | 8.10067e11 | 0.979266 | ||||||||
\(446\) | −1.88390e12 | + | 6.85682e11i | −2.25450 | + | 0.820571i | ||||
\(447\) | −1.07009e11 | − | 3.89480e10i | −0.126775 | − | 0.0461425i | ||||
\(448\) | 1.40859e12 | − | 1.18195e12i | 1.65209 | − | 1.38627i | ||||
\(449\) | −1.33359e11 | − | 7.56317e11i | −0.154851 | − | 0.878204i | −0.958922 | − | 0.283671i | \(-0.908448\pi\) |
0.804071 | − | 0.594534i | \(-0.202663\pi\) | |||||||
\(450\) | −2.98014e12 | −3.42595 | ||||||||
\(451\) | −5.56947e10 | − | 3.15861e11i | −0.0633898 | − | 0.359502i | ||||
\(452\) | 7.78362e11 | − | 1.34816e12i | 0.877120 | − | 1.51922i | ||||
\(453\) | −6.51924e10 | − | 5.47029e10i | −0.0727370 | − | 0.0610336i | ||||
\(454\) | −1.00146e12 | − | 1.73457e12i | −1.10632 | − | 1.91620i | ||||
\(455\) | −1.17198e12 | + | 2.02993e12i | −1.28195 | + | 2.22040i | ||||
\(456\) | −1.83637e10 | + | 6.68384e9i | −0.0198892 | + | 0.00723909i | ||||
\(457\) | 1.04061e12 | − | 8.73172e11i | 1.11600 | − | 0.936433i | 0.117602 | − | 0.993061i | \(-0.462479\pi\) |
0.998395 | + | 0.0566274i | \(0.0180347\pi\) | |||||||
\(458\) | 1.07867e12 | + | 1.86831e12i | 1.14550 | + | 1.98406i | ||||
\(459\) | −5.30143e9 | + | 3.00659e10i | −0.00557488 | + | 0.0316167i | ||||
\(460\) | −5.25645e11 | + | 2.98108e12i | −0.547371 | + | 3.10430i | ||||
\(461\) | 7.86628e11 | + | 6.60059e11i | 0.811176 | + | 0.680657i | 0.950888 | − | 0.309535i | \(-0.100173\pi\) |
−0.139712 | + | 0.990192i | \(0.544618\pi\) | |||||||
\(462\) | 5.12815e10 | + | 1.86650e10i | 0.0523688 | + | 0.0190607i | ||||
\(463\) | −1.79289e12 | − | 6.52557e11i | −1.81317 | − | 0.659939i | −0.996572 | − | 0.0827304i | \(-0.973636\pi\) |
−0.816596 | − | 0.577209i | \(-0.804142\pi\) | |||||||
\(464\) | 6.84023e10 | + | 5.73964e10i | 0.0685078 | + | 0.0574849i | ||||
\(465\) | 1.49820e10 | − | 8.49673e10i | 0.0148605 | − | 0.0842779i | ||||
\(466\) | 2.04960e11 | − | 1.16238e12i | 0.201341 | − | 1.14186i | ||||
\(467\) | −7.48365e11 | − | 1.29621e12i | −0.728094 | − | 1.26110i | −0.957688 | − | 0.287809i | \(-0.907073\pi\) |
0.229594 | − | 0.973286i | \(-0.426260\pi\) | |||||||
\(468\) | −1.23493e12 | + | 1.03623e12i | −1.18997 | + | 0.998501i | ||||
\(469\) | −8.60585e11 | + | 3.13227e11i | −0.821327 | + | 0.298938i | ||||
\(470\) | −1.23184e12 | + | 2.13361e12i | −1.16443 | + | 2.01686i | ||||
\(471\) | 4.93657e10 | + | 8.55040e10i | 0.0462202 | + | 0.0800557i | ||||
\(472\) | 9.05094e11 | + | 7.59464e11i | 0.839372 | + | 0.704317i | ||||
\(473\) | −1.79398e10 | + | 3.10726e10i | −0.0164794 | + | 0.0285432i | ||||
\(474\) | −4.93106e10 | − | 2.79654e11i | −0.0448681 | − | 0.254460i | ||||
\(475\) | −7.70495e11 | −0.694462 | ||||||||
\(476\) | 6.63796e10 | + | 3.76457e11i | 0.0592656 | + | 0.336112i | ||||
\(477\) | 9.01616e11 | − | 7.56546e11i | 0.797423 | − | 0.669117i | ||||
\(478\) | −6.78958e10 | − | 2.47121e10i | −0.0594864 | − | 0.0216513i | ||||
\(479\) | 2.40260e11 | − | 8.74473e10i | 0.208531 | − | 0.0758991i | −0.235643 | − | 0.971840i | \(-0.575719\pi\) |
0.444174 | + | 0.895941i | \(0.353497\pi\) | |||||||
\(480\) | −2.37209e11 | −0.203960 | ||||||||
\(481\) | 4.93340e11 | − | 1.15666e12i | 0.420237 | − | 0.985267i | ||||
\(482\) | −3.56718e11 | −0.301032 | ||||||||
\(483\) | −1.67345e11 | + | 6.09085e10i | −0.139910 | + | 0.0509232i | ||||
\(484\) | 1.52247e12 | + | 5.54132e11i | 1.26108 | + | 0.458996i | ||||
\(485\) | 2.08654e12 | − | 1.75082e12i | 1.71234 | − | 1.43682i | ||||
\(486\) | −9.18682e10 | − | 5.21010e11i | −0.0746968 | − | 0.423626i | ||||
\(487\) | 8.19837e11 | 0.660461 | 0.330230 | − | 0.943900i | \(-0.392874\pi\) | ||||
0.330230 | + | 0.943900i | \(0.392874\pi\) | |||||||
\(488\) | −1.86858e11 | − | 1.05972e12i | −0.149150 | − | 0.845869i | ||||
\(489\) | −4.51028e10 | + | 7.81204e10i | −0.0356709 | + | 0.0617838i | ||||
\(490\) | −2.16679e12 | − | 1.81815e12i | −1.69799 | − | 1.42478i | ||||
\(491\) | −3.49311e11 | − | 6.05025e11i | −0.271235 | − | 0.469793i | 0.697943 | − | 0.716153i | \(-0.254099\pi\) |
−0.969178 | + | 0.246360i | \(0.920765\pi\) | |||||||
\(492\) | 1.11641e11 | − | 1.93368e11i | 0.0858975 | − | 0.148779i | ||||
\(493\) | −5.94913e10 | + | 2.16531e10i | −0.0453568 | + | 0.0165085i | ||||
\(494\) | −5.37562e11 | + | 4.51068e11i | −0.406123 | + | 0.340778i | ||||
\(495\) | 3.40359e11 | + | 5.89519e11i | 0.254808 | + | 0.441341i | ||||
\(496\) | −3.91457e10 | + | 2.22006e11i | −0.0290413 | + | 0.164702i | ||||
\(497\) | −3.66836e11 | + | 2.08043e12i | −0.269692 | + | 1.52950i | ||||
\(498\) | 5.74413e10 | + | 4.81990e10i | 0.0418497 | + | 0.0351161i | ||||
\(499\) | −1.93132e12 | − | 7.02943e11i | −1.39445 | − | 0.507537i | −0.467922 | − | 0.883770i | \(-0.654997\pi\) |
−0.926525 | + | 0.376233i | \(0.877219\pi\) | |||||||
\(500\) | 4.13129e12 | + | 1.50367e12i | 2.95611 | + | 1.07594i | ||||
\(501\) | 3.86555e10 | + | 3.24358e10i | 0.0274120 | + | 0.0230014i | ||||
\(502\) | 3.60483e10 | − | 2.04440e11i | 0.0253348 | − | 0.143681i | ||||
\(503\) | −2.06771e11 | + | 1.17266e12i | −0.144024 | + | 0.816800i | 0.824122 | + | 0.566413i | \(0.191669\pi\) |
−0.968146 | + | 0.250387i | \(0.919442\pi\) | |||||||
\(504\) | −6.97502e11 | − | 1.20811e12i | −0.481513 | − | 0.834005i | ||||
\(505\) | −2.84038e12 | + | 2.38336e12i | −1.94342 | + | 1.63072i | ||||
\(506\) | 7.52287e11 | − | 2.73810e11i | 0.510160 | − | 0.185683i | ||||
\(507\) | 1.01303e10 | − | 1.75463e10i | 0.00680908 | − | 0.0117937i | ||||
\(508\) | −1.35636e12 | − | 2.34929e12i | −0.903626 | − | 1.56513i | ||||
\(509\) | 7.82763e11 | + | 6.56816e11i | 0.516893 | + | 0.433725i | 0.863547 | − | 0.504268i | \(-0.168238\pi\) |
−0.346654 | + | 0.937993i | \(0.612682\pi\) | |||||||
\(510\) | 3.45813e10 | − | 5.98966e10i | 0.0226347 | − | 0.0392045i | ||||
\(511\) | −5.97328e11 | − | 3.38762e12i | −0.387542 | − | 2.19786i | ||||
\(512\) | 9.84701e11 | 0.633271 | ||||||||
\(513\) | −1.58120e10 | − | 8.96741e10i | −0.0100799 | − | 0.0571662i | ||||
\(514\) | −2.92608e12 | + | 2.45527e12i | −1.84907 | + | 1.55155i | ||||
\(515\) | 4.96727e12 | + | 1.80794e12i | 3.11161 | + | 1.13253i | ||||
\(516\) | −2.34716e10 | + | 8.54296e9i | −0.0145753 | + | 0.00530499i | ||||
\(517\) | 3.86995e11 | 0.238231 | ||||||||
\(518\) | 2.88164e12 | + | 1.87847e12i | 1.75856 | + | 1.14636i | ||||
\(519\) | −1.66294e11 | −0.100606 | ||||||||
\(520\) | 2.18057e12 | − | 7.93661e11i | 1.30784 | − | 0.476014i | ||||
\(521\) | −7.59191e11 | − | 2.76323e11i | −0.451421 | − | 0.164304i | 0.106297 | − | 0.994334i | \(-0.466101\pi\) |
−0.557718 | + | 0.830031i | \(0.688323\pi\) | |||||||
\(522\) | 5.59477e11 | − | 4.69457e11i | 0.329811 | − | 0.276744i | ||||
\(523\) | 4.10828e11 | + | 2.32992e12i | 0.240106 | + | 1.36171i | 0.831590 | + | 0.555390i | \(0.187431\pi\) |
−0.591484 | + | 0.806317i | \(0.701458\pi\) | |||||||
\(524\) | −5.79069e11 | −0.335536 | ||||||||
\(525\) | 8.22814e10 | + | 4.66641e11i | 0.0472699 | + | 0.268081i | ||||
\(526\) | 1.84718e11 | − | 3.19940e11i | 0.105214 | − | 0.182236i | ||||
\(527\) | −1.22439e11 | − | 1.02738e11i | −0.0691466 | − | 0.0580209i | ||||
\(528\) | 7.66145e9 | + | 1.32700e10i | 0.00429001 | + | 0.00743052i | ||||
\(529\) | −4.05649e11 | + | 7.02605e11i | −0.225217 | + | 0.390087i | ||||
\(530\) | −5.03267e12 | + | 1.83174e12i | −2.77050 | + | 1.00838i | ||||
\(531\) | −2.09961e12 | + | 1.76178e12i | −1.14608 | + | 0.961671i | ||||
\(532\) | −5.70069e11 | − | 9.87388e11i | −0.308550 | − | 0.534424i | ||||
\(533\) | 4.40429e11 | − | 2.49779e12i | 0.236376 | − | 1.34055i | ||||
\(534\) | 2.58986e10 | − | 1.46878e11i | 0.0137829 | − | 0.0781667i | ||||
\(535\) | −3.89826e12 | − | 3.27103e12i | −2.05721 | − | 1.72620i | ||||
\(536\) | 8.51973e11 | + | 3.10093e11i | 0.445845 | + | 0.162274i | ||||
\(537\) | 2.19489e11 | + | 7.98875e10i | 0.113901 | + | 0.0414567i | ||||
\(538\) | 1.29302e12 | + | 1.08497e12i | 0.665402 | + | 0.558339i | ||||
\(539\) | −7.71532e10 | + | 4.37557e11i | −0.0393735 | + | 0.223298i | ||||
\(540\) | −1.65289e11 | + | 9.37400e11i | −0.0836511 | + | 0.474409i | ||||
\(541\) | −3.57693e11 | − | 6.19542e11i | −0.179524 | − | 0.310945i | 0.762194 | − | 0.647349i | \(-0.224122\pi\) |
−0.941718 | + | 0.336404i | \(0.890789\pi\) | |||||||
\(542\) | 2.33124e11 | − | 1.95614e11i | 0.116035 | − | 0.0973650i | ||||
\(543\) | −2.94074e10 | + | 1.07034e10i | −0.0145164 | + | 0.00528352i | ||||
\(544\) | −2.19718e11 | + | 3.80562e11i | −0.107565 | + | 0.186308i | ||||
\(545\) | −2.99295e12 | − | 5.18393e12i | −1.45316 | − | 2.51695i | ||||
\(546\) | 3.30591e11 | + | 2.77399e11i | 0.159193 | + | 0.133579i | ||||
\(547\) | −1.12324e12 | + | 1.94550e12i | −0.536449 | + | 0.929156i | 0.462643 | + | 0.886545i | \(0.346901\pi\) |
−0.999092 | + | 0.0426116i | \(0.986432\pi\) | |||||||
\(548\) | −3.75890e11 | − | 2.13178e12i | −0.178053 | − | 1.00979i | ||||
\(549\) | 2.49624e12 | 1.17276 | ||||||||
\(550\) | −3.69890e11 | − | 2.09775e12i | −0.172362 | − | 0.977512i | ||||
\(551\) | 1.44649e11 | − | 1.21375e11i | 0.0668548 | − | 0.0560979i | ||||
\(552\) | 1.65670e11 | + | 6.02990e10i | 0.0759483 | + | 0.0276429i | ||||
\(553\) | 4.92481e12 | − | 1.79249e12i | 2.23937 | − | 0.815066i | ||||
\(554\) | −1.79310e12 | −0.808742 | ||||||||
\(555\) | −1.07463e11 | − | 3.53684e11i | −0.0480772 | − | 0.158233i | ||||
\(556\) | −8.58809e11 | −0.381119 | ||||||||
\(557\) | 3.79184e11 | − | 1.38012e11i | 0.166917 | − | 0.0607529i | −0.257210 | − | 0.966356i | \(-0.582803\pi\) |
0.424127 | + | 0.905603i | \(0.360581\pi\) | |||||||
\(558\) | 1.73265e12 | + | 6.30633e11i | 0.756584 | + | 0.275374i | ||||
\(559\) | −2.17351e11 | + | 1.82379e11i | −0.0941476 | + | 0.0789992i | ||||
\(560\) | −3.12626e11 | − | 1.77299e12i | −0.134332 | − | 0.761833i | ||||
\(561\) | −1.08641e10 | −0.00463083 | ||||||||
\(562\) | 3.00547e11 | + | 1.70449e12i | 0.127086 | + | 0.720743i | ||||
\(563\) | −8.77072e11 | + | 1.51913e12i | −0.367915 | + | 0.637247i | −0.989239 | − | 0.146306i | \(-0.953262\pi\) |
0.621324 | + | 0.783553i | \(0.286595\pi\) | |||||||
\(564\) | 2.06381e11 | + | 1.73174e11i | 0.0858842 | + | 0.0720654i | ||||
\(565\) | −2.59910e12 | − | 4.50177e12i | −1.07301 | − | 1.85851i | ||||
\(566\) | −1.06369e11 | + | 1.84236e11i | −0.0435652 | + | 0.0754571i | ||||
\(567\) | 3.01451e12 | − | 1.09719e12i | 1.22488 | − | 0.445819i | ||||
\(568\) | 1.60209e12 | − | 1.34432e12i | 0.645833 | − | 0.541918i | ||||
\(569\) | −3.13726e11 | − | 5.43389e11i | −0.125472 | − | 0.217323i | 0.796446 | − | 0.604710i | \(-0.206711\pi\) |
−0.921917 | + | 0.387387i | \(0.873378\pi\) | |||||||
\(570\) | −3.58208e10 | + | 2.03150e11i | −0.0142134 | + | 0.0806082i | ||||
\(571\) | −2.72232e11 | + | 1.54391e12i | −0.107171 | + | 0.607797i | 0.883160 | + | 0.469072i | \(0.155412\pi\) |
−0.990331 | + | 0.138725i | \(0.955700\pi\) | |||||||
\(572\) | −8.82688e11 | − | 7.40663e11i | −0.344766 | − | 0.289293i | ||||
\(573\) | −3.74205e10 | − | 1.36200e10i | −0.0145015 | − | 0.00527813i | ||||
\(574\) | 6.51971e12 | + | 2.37298e12i | 2.50683 | + | 0.912412i | ||||
\(575\) | 5.32485e12 | + | 4.46808e12i | 2.03143 | + | 1.70457i | ||||
\(576\) | 7.33296e11 | − | 4.15873e12i | 0.277573 | − | 1.57420i | ||||
\(577\) | −4.73405e11 | + | 2.68481e12i | −0.177804 | + | 1.00838i | 0.757054 | + | 0.653353i | \(0.226638\pi\) |
−0.934858 | + | 0.355023i | \(0.884473\pi\) | |||||||
\(578\) | 2.04142e12 | + | 3.53585e12i | 0.760777 | + | 1.31770i | ||||
\(579\) | 1.47654e11 | − | 1.23896e11i | 0.0545999 | − | 0.0458148i | ||||
\(580\) | −1.85483e12 | + | 6.75104e11i | −0.680579 | + | 0.247711i | ||||
\(581\) | −6.91950e11 | + | 1.19849e12i | −0.251931 | + | 0.436358i | ||||
\(582\) | −2.50743e11 | − | 4.34299e11i | −0.0905889 | − | 0.156905i | ||||
\(583\) | 6.44447e11 | + | 5.40756e11i | 0.231036 | + | 0.193862i | ||||
\(584\) | −1.70273e12 | + | 2.94921e12i | −0.605741 | + | 1.04917i | ||||
\(585\) | 9.34757e11 | + | 5.30127e12i | 0.329987 | + | 1.87145i | ||||
\(586\) | −2.75244e12 | −0.964225 | ||||||||
\(587\) | −1.59865e11 | − | 9.06641e11i | −0.0555754 | − | 0.315184i | 0.944329 | − | 0.329002i | \(-0.106712\pi\) |
−0.999905 | + | 0.0138185i | \(0.995601\pi\) | |||||||
\(588\) | −2.36945e11 | + | 1.98820e11i | −0.0817428 | + | 0.0685903i | ||||
\(589\) | 4.47965e11 | + | 1.63046e11i | 0.153365 | + | 0.0558201i | ||||
\(590\) | 1.17197e13 | − | 4.26561e12i | 3.98182 | − | 1.44926i | ||||
\(591\) | 2.82654e11 | 0.0953041 | ||||||||
\(592\) | 2.80783e11 | + | 9.24122e11i | 0.0939558 | + | 0.309230i | ||||
\(593\) | −3.65133e12 | −1.21256 | −0.606282 | − | 0.795250i | \(-0.707340\pi\) | ||||
−0.606282 | + | 0.795250i | \(0.707340\pi\) | |||||||
\(594\) | 2.36556e11 | − | 8.60995e10i | 0.0779643 | − | 0.0283767i | ||||
\(595\) | 1.19947e12 | + | 4.36573e11i | 0.392342 | + | 0.142801i | ||||
\(596\) | −5.03851e12 | + | 4.22781e12i | −1.63566 | + | 1.37249i | ||||
\(597\) | −3.29084e10 | − | 1.86633e11i | −0.0106028 | − | 0.0601317i | ||||
\(598\) | 6.33080e12 | 2.02443 | ||||||||
\(599\) | 7.64446e11 | + | 4.33539e12i | 0.242620 | + | 1.37596i | 0.825956 | + | 0.563734i | \(0.190636\pi\) |
−0.583337 | + | 0.812231i | \(0.698253\pi\) | |||||||
\(600\) | 2.34549e11 | − | 4.06251e11i | 0.0738844 | − | 0.127972i | ||||
\(601\) | −6.82359e11 | − | 5.72567e11i | −0.213343 | − | 0.179016i | 0.529854 | − | 0.848089i | \(-0.322247\pi\) |
−0.743196 | + | 0.669073i | \(0.766691\pi\) | |||||||
\(602\) | −3.88075e11 | − | 6.72166e11i | −0.120429 | − | 0.208589i | ||||
\(603\) | −1.05161e12 | + | 1.82144e12i | −0.323912 | + | 0.561032i | ||||
\(604\) | −4.61896e12 | + | 1.68116e12i | −1.41214 | + | 0.513977i | ||||
\(605\) | 4.14436e12 | − | 3.47753e12i | 1.25764 | − | 1.05529i | ||||
\(606\) | 3.41333e11 | + | 5.91206e11i | 0.102814 | + | 0.178079i | ||||
\(607\) | 3.75135e10 | − | 2.12750e11i | 0.0112160 | − | 0.0636092i | −0.978686 | − | 0.205362i | \(-0.934163\pi\) |
0.989902 | + | 0.141753i | \(0.0452739\pi\) | |||||||
\(608\) | 2.27593e11 | − | 1.29074e12i | 0.0675449 | − | 0.383066i | ||||
\(609\) | −8.89563e10 | − | 7.46432e10i | −0.0262059 | − | 0.0219894i | ||||
\(610\) | −1.06738e13 | − | 3.88493e12i | −3.12128 | − | 1.13605i | ||||
\(611\) | 2.87576e12 | + | 1.04669e12i | 0.834771 | + | 0.303832i | ||||
\(612\) | 6.72504e11 | + | 5.64298e11i | 0.193782 | + | 0.162602i | ||||
\(613\) | 3.64604e10 | − | 2.06777e11i | 0.0104292 | − | 0.0591468i | −0.979149 | − | 0.203143i | \(-0.934884\pi\) |
0.989578 | + | 0.143996i | \(0.0459954\pi\) | |||||||
\(614\) | 2.46298e11 | − | 1.39683e12i | 0.0699365 | − | 0.396630i | ||||
\(615\) | −3.72790e11 | − | 6.45692e11i | −0.105082 | − | 0.182007i | ||||
\(616\) | 7.63828e11 | − | 6.40928e11i | 0.213738 | − | 0.179348i | ||||
\(617\) | 6.96059e11 | − | 2.53345e11i | 0.193358 | − | 0.0703767i | −0.243526 | − | 0.969894i | \(-0.578304\pi\) |
0.436884 | + | 0.899518i | \(0.356082\pi\) | |||||||
\(618\) | 4.86617e11 | − | 8.42845e11i | 0.134196 | − | 0.232434i | ||||
\(619\) | −3.54101e12 | − | 6.13321e12i | −0.969436 | − | 1.67911i | −0.697191 | − | 0.716885i | \(-0.745567\pi\) |
−0.272245 | − | 0.962228i | \(-0.587766\pi\) | |||||||
\(620\) | −3.81742e12 | − | 3.20319e12i | −1.03755 | − | 0.870604i | ||||
\(621\) | −4.10743e11 | + | 7.11427e11i | −0.110830 | + | 0.191963i | ||||
\(622\) | −1.45457e12 | − | 8.24926e12i | −0.389652 | − | 2.20983i | ||||
\(623\) | 2.75258e12 | 0.732055 | ||||||||
\(624\) | 2.10413e10 | + | 1.19331e11i | 0.00555574 | + | 0.0315082i | ||||
\(625\) | 4.81144e12 | − | 4.03728e12i | 1.26129 | − | 1.05835i | ||||
\(626\) | 5.07434e12 | + | 1.84691e12i | 1.32067 | + | 0.480685i | ||||
\(627\) | 3.04488e10 | − | 1.10825e10i | 0.00786805 | − | 0.00286373i | ||||
\(628\) | 5.70257e12 | 1.46303 | ||||||||
\(629\) | −6.66967e11 | − | 1.55199e11i | −0.169893 | − | 0.0395331i | ||||
\(630\) | −1.47254e13 | −3.72420 | ||||||||
\(631\) | 1.01002e12 | − | 3.67616e11i | 0.253628 | − | 0.0923130i | −0.212077 | − | 0.977253i | \(-0.568023\pi\) |
0.465705 | + | 0.884940i | \(0.345801\pi\) | |||||||
\(632\) | −4.87553e12 | − | 1.77455e12i | −1.21561 | − | 0.442447i | ||||
\(633\) | 3.97945e11 | − | 3.33915e11i | 0.0985159 | − | 0.0826646i | ||||
\(634\) | 5.06939e11 | + | 2.87499e12i | 0.124610 | + | 0.706700i | ||||
\(635\) | −9.05830e12 | −2.21088 | ||||||||
\(636\) | 1.01698e11 | + | 5.76759e11i | 0.0246466 | + | 0.139778i | ||||
\(637\) | −1.75677e12 | + | 3.04282e12i | −0.422754 | + | 0.732231i | ||||
\(638\) | 3.99897e11 | + | 3.35554e11i | 0.0955554 | + | 0.0801805i | ||||
\(639\) | 2.42577e12 | + | 4.20155e12i | 0.575566 | + | 0.996909i | ||||
\(640\) | −4.92444e12 | + | 8.52939e12i | −1.16024 | + | 2.00959i | ||||
\(641\) | −2.10113e12 | + | 7.64747e11i | −0.491576 | + | 0.178919i | −0.575901 | − | 0.817519i | \(-0.695349\pi\) |
0.0843252 | + | 0.996438i | \(0.473127\pi\) | |||||||
\(642\) | −7.17721e11 | + | 6.02240e11i | −0.166743 | + | 0.139914i | ||||
\(643\) | −1.48690e12 | − | 2.57539e12i | −0.343031 | − | 0.594147i | 0.641963 | − | 0.766735i | \(-0.278120\pi\) |
−0.984994 | + | 0.172589i | \(0.944787\pi\) | |||||||
\(644\) | −1.78612e12 | + | 1.01296e13i | −0.409190 | + | 2.32063i | ||||
\(645\) | −1.44833e10 | + | 8.21390e10i | −0.00329496 | + | 0.0186866i | ||||
\(646\) | 2.92740e11 | + | 2.45638e11i | 0.0661358 | + | 0.0554945i | ||||
\(647\) | −7.70338e11 | − | 2.80380e11i | −0.172827 | − | 0.0629040i | 0.254157 | − | 0.967163i | \(-0.418202\pi\) |
−0.426985 | + | 0.904259i | \(0.640424\pi\) | |||||||
\(648\) | −2.98434e12 | − | 1.08621e12i | −0.664907 | − | 0.242006i | ||||
\(649\) | −1.50074e12 | − | 1.25927e12i | −0.332050 | − | 0.278623i | ||||
\(650\) | 2.92506e12 | − | 1.65888e13i | 0.642724 | − | 3.64507i | ||||
\(651\) | 5.09085e10 | − | 2.88716e11i | 0.0111090 | − | 0.0630024i | ||||
\(652\) | 2.60507e12 | + | 4.51211e12i | 0.564553 | + | 0.977835i | ||||
\(653\) | −1.57326e12 | + | 1.32012e12i | −0.338603 | + | 0.284121i | −0.796194 | − | 0.605041i | \(-0.793157\pi\) |
0.457591 | + | 0.889163i | \(0.348712\pi\) | |||||||
\(654\) | −1.03562e12 | + | 3.76934e11i | −0.221360 | + | 0.0805686i | ||||
\(655\) | −9.66811e11 | + | 1.67457e12i | −0.205237 | + | 0.355481i | ||||
\(656\) | 9.74043e11 | + | 1.68709e12i | 0.205358 | + | 0.355690i | ||||
\(657\) | −6.05165e12 | − | 5.07793e12i | −1.26715 | − | 1.06327i | ||||
\(658\) | −4.18576e12 | + | 7.24995e12i | −0.870478 | + | 1.50771i | ||||
\(659\) | −4.09155e11 | − | 2.32043e12i | −0.0845091 | − | 0.479275i | −0.997461 | − | 0.0712087i | \(-0.977314\pi\) |
0.912952 | − | 0.408066i | \(-0.133797\pi\) | |||||||
\(660\) | −3.38721e11 | −0.0694856 | ||||||||
\(661\) | 2.93576e11 | + | 1.66495e12i | 0.0598155 | + | 0.339230i | 0.999999 | − | 0.00143801i | \(-0.000457732\pi\) |
−0.940183 | + | 0.340669i | \(0.889347\pi\) | |||||||
\(662\) | 9.84407e11 | − | 8.26016e11i | 0.199211 | − | 0.167158i | ||||
\(663\) | −8.07307e10 | − | 2.93836e10i | −0.0162266 | − | 0.00590601i | ||||
\(664\) | 1.28743e12 | − | 4.68585e11i | 0.257019 | − | 0.0935474i | ||||
\(665\) | −3.80714e12 | −0.754920 | ||||||||
\(666\) | 7.84256e12 | − | 9.49159e11i | 1.54463 | − | 0.186941i | ||||
\(667\) | −1.70351e12 | −0.333257 | ||||||||
\(668\) | 2.73878e12 | − | 9.96836e11i | 0.532186 | − | 0.193700i | ||||
\(669\) | 6.87905e11 | + | 2.50377e11i | 0.132773 | + | 0.0483255i | ||||
\(670\) | 7.33136e12 | − | 6.15174e12i | 1.40555 | − | 1.17940i | ||||
\(671\) | 3.09829e11 | + | 1.75713e12i | 0.0590025 | + | 0.334620i | ||||
\(672\) | −8.06028e11 | −0.152471 | ||||||||
\(673\) | −4.60757e11 | − | 2.61308e12i | −0.0865773 | − | 0.491004i | −0.997005 | − | 0.0773363i | \(-0.975358\pi\) |
0.910428 | − | 0.413668i | \(-0.135753\pi\) | |||||||
\(674\) | 6.30184e11 | − | 1.09151e12i | 0.117624 | − | 0.203731i | ||||
\(675\) | 1.67440e12 | + | 1.40499e12i | 0.310450 | + | 0.260499i | ||||
\(676\) | −5.85112e11 | − | 1.01344e12i | −0.107765 | − | 0.186655i | ||||
\(677\) | −1.00435e12 | + | 1.73958e12i | −0.183754 | + | 0.318271i | −0.943156 | − | 0.332351i | \(-0.892158\pi\) |
0.759402 | + | 0.650621i | \(0.225492\pi\) | |||||||
\(678\) | −8.99340e11 | + | 3.27333e11i | −0.163452 | + | 0.0594917i | ||||
\(679\) | 7.09001e12 | − | 5.94922e12i | 1.28007 | − | 1.07410i | ||||
\(680\) | −6.31840e11 | − | 1.09438e12i | −0.113323 | − | 0.196281i | ||||
\(681\) | −1.27000e11 | + | 7.20253e11i | −0.0226278 | + | 0.128328i | ||||
\(682\) | −2.28856e11 | + | 1.29790e12i | −0.0405072 | + | 0.229728i | ||||
\(683\) | 5.15006e12 | + | 4.32142e12i | 0.905564 | + | 0.759859i | 0.971270 | − | 0.237980i | \(-0.0764854\pi\) |
−0.0657056 | + | 0.997839i | \(0.520930\pi\) | |||||||
\(684\) | −2.46048e12 | − | 8.95542e11i | −0.429801 | − | 0.156435i | ||||
\(685\) | −6.79231e12 | − | 2.47220e12i | −1.17872 | − | 0.429018i | ||||
\(686\) | 1.96485e12 | + | 1.64870e12i | 0.338743 | + | 0.284239i | ||||
\(687\) | 1.36792e11 | − | 7.75784e11i | 0.0234290 | − | 0.132873i | ||||
\(688\) | 3.78427e10 | − | 2.14616e11i | 0.00643923 | − | 0.0365187i | ||||
\(689\) | 3.32633e12 | + | 5.76137e12i | 0.562313 | + | 0.973955i | ||||
\(690\) | 1.42562e12 | − | 1.19623e12i | 0.239432 | − | 0.200907i | ||||
\(691\) | −2.73710e12 | + | 9.96224e11i | −0.456709 | + | 0.166229i | −0.560122 | − | 0.828410i | \(-0.689246\pi\) |
0.103413 | + | 0.994639i | \(0.467024\pi\) | |||||||
\(692\) | −4.80244e12 | + | 8.31807e12i | −0.796131 | + | 1.37894i | ||||
\(693\) | 1.15653e12 | + | 2.00317e12i | 0.190483 | + | 0.329927i | ||||
\(694\) | −7.38655e12 | − | 6.19805e12i | −1.20872 | − | 1.01423i | ||||
\(695\) | −1.43386e12 | + | 2.48353e12i | −0.233118 | + | 0.403773i | ||||
\(696\) | 1.99630e10 | + | 1.13216e11i | 0.00322466 | + | 0.0182879i | ||||
\(697\) | −1.38121e12 | −0.221672 | ||||||||
\(698\) | −3.88258e11 | − | 2.20192e12i | −0.0619115 | − | 0.351117i | ||||
\(699\) | −3.30159e11 | + | 2.77037e11i | −0.0523090 | + | 0.0438925i | ||||
\(700\) | 2.57177e13 | + | 9.36048e12i | 4.04847 | + | 1.47352i | ||||
\(701\) | −7.30936e12 | + | 2.66039e12i | −1.14327 | + | 0.416116i | −0.843093 | − | 0.537768i | \(-0.819268\pi\) |
−0.300176 | + | 0.953884i | \(0.597045\pi\) | |||||||
\(702\) | 1.99072e12 | 0.309381 | ||||||||
\(703\) | 2.02764e12 | − | 2.45398e11i | 0.313106 | − | 0.0378942i | ||||
\(704\) | 3.01839e12 | 0.463125 | ||||||||
\(705\) | 8.45362e11 | − | 3.07686e11i | 0.128882 | − | 0.0469091i | ||||
\(706\) | 1.52958e13 | + | 5.56720e12i | 2.31713 | + | 0.843366i | ||||
\(707\) | −9.65153e12 | + | 8.09859e12i | −1.45281 | + | 1.21905i | ||||
\(708\) | −2.36827e11 | − | 1.34311e12i | −0.0354226 | − | 0.200892i | ||||
\(709\) | 2.85656e12 | 0.424557 | 0.212278 | − | 0.977209i | \(-0.431912\pi\) | ||||
0.212278 | + | 0.977209i | \(0.431912\pi\) | |||||||
\(710\) | −3.83349e12 | − | 2.17408e13i | −0.566150 | − | 3.21080i | ||||
\(711\) | 6.01798e12 | − | 1.04235e13i | 0.883157 | − | 1.52967i | ||||
\(712\) | −2.08750e12 | − | 1.75162e12i | −0.304415 | − | 0.255435i | ||||
\(713\) | −2.15036e12 | − | 3.72454e12i | −0.311608 | − | 0.539722i | ||||
\(714\) | 1.17506e11 | − | 2.03527e11i | 0.0169207 | − | 0.0293075i | ||||
\(715\) | −3.61560e12 | + | 1.31597e12i | −0.517372 | + | 0.188308i | ||||
\(716\) | 1.03347e13 | − | 8.67181e12i | 1.46956 | − | 1.23311i | ||||
\(717\) | 1.31916e10 | + | 2.28486e10i | 0.00186407 | + | 0.00322867i | ||||
\(718\) | 2.83601e12 | − | 1.60838e13i | 0.398242 | − | 2.25854i | ||||
\(719\) | −7.00934e11 | + | 3.97519e12i | −0.0978131 | + | 0.554726i | 0.896036 | + | 0.443982i | \(0.146434\pi\) |
−0.993849 | + | 0.110744i | \(0.964677\pi\) | |||||||
\(720\) | −3.16727e12 | − | 2.65766e12i | −0.439227 | − | 0.368555i | ||||
\(721\) | 1.68786e13 | + | 6.14331e12i | 2.32610 | + | 0.846630i | ||||
\(722\) | 9.69633e12 | + | 3.52918e12i | 1.32798 | + | 0.483344i | ||||
\(723\) | 9.97816e10 | + | 8.37267e10i | 0.0135809 | + | 0.0113957i | ||||
\(724\) | −3.13875e11 | + | 1.78007e12i | −0.0424554 | + | 0.240777i | ||||
\(725\) | −7.87083e11 | + | 4.46377e12i | −0.105803 | + | 0.600041i | ||||
\(726\) | −4.98033e11 | − | 8.62619e11i | −0.0665340 | − | 0.115240i | ||||
\(727\) | −3.41131e12 | + | 2.86243e12i | −0.452915 | + | 0.380040i | −0.840516 | − | 0.541787i | \(-0.817748\pi\) |
0.387602 | + | 0.921827i | \(0.373304\pi\) | |||||||
\(728\) | 7.40949e12 | − | 2.69684e12i | 0.977681 | − | 0.355847i | ||||
\(729\) | 3.61878e12 | − | 6.26792e12i | 0.474558 | − | 0.821958i | ||||
\(730\) | 1.79736e13 | + | 3.11312e13i | 2.34251 | + | 4.05735i | ||||
\(731\) | 1.18363e11 | + | 9.93184e10i | 0.0153316 | + | 0.0128648i | ||||
\(732\) | −6.21057e11 | + | 1.07570e12i | −0.0799524 | + | 0.138482i | ||||
\(733\) | 1.46546e12 | + | 8.31102e12i | 0.187502 | + | 1.06337i | 0.922699 | + | 0.385521i | \(0.125978\pi\) |
−0.735197 | + | 0.677853i | \(0.762910\pi\) | |||||||
\(734\) | −1.61650e13 | −2.05563 | ||||||||
\(735\) | 1.79351e11 | + | 1.01715e12i | 0.0226679 | + | 0.128556i | ||||
\(736\) | −9.05788e12 | + | 7.60046e12i | −1.13783 | + | 0.954750i | ||||
\(737\) | −1.41266e12 | − | 5.14165e11i | −0.176373 | − | 0.0641947i | ||||
\(738\) | 1.49729e13 | − | 5.44968e12i | 1.85803 | − | 0.676266i | ||||
\(739\) | 5.85006e11 | 0.0721540 | 0.0360770 | − | 0.999349i | \(-0.488514\pi\) | ||||
0.0360770 | + | 0.999349i | \(0.488514\pi\) | |||||||
\(740\) | −2.07948e13 | − | 4.83882e12i | −2.54925 | − | 0.593194i | ||||
\(741\) | 2.56240e11 | 0.0312223 | ||||||||
\(742\) | −1.71009e13 | + | 6.22421e12i | −2.07110 | + | 0.753818i | ||||
\(743\) | 5.46040e12 | + | 1.98742e12i | 0.657317 | + | 0.239244i | 0.649078 | − | 0.760722i | \(-0.275155\pi\) |
0.00823946 | + | 0.999966i | \(0.497377\pi\) | |||||||
\(744\) | −2.22334e11 | + | 1.86560e11i | −0.0266028 | + | 0.0223224i | ||||
\(745\) | 3.81382e12 | + | 2.16292e13i | 0.453583 | + | 2.57240i | ||||
\(746\) | 8.22125e11 | 0.0971882 | ||||||||
\(747\) | 5.51889e11 | + | 3.12992e12i | 0.0648499 | + | 0.367782i | ||||
\(748\) | −3.13745e11 | + | 5.43423e11i | −0.0366454 | + | 0.0634717i | ||||
\(749\) | −1.32462e13 | − | 1.11148e13i | −1.53788 | − | 1.29043i | ||||
\(750\) | −1.35144e12 | − | 2.34076e12i | −0.155963 | − | 0.270135i | ||||
\(751\) | 7.33831e12 | − | 1.27103e13i | 0.841814 | − | 1.45806i | −0.0465451 | − | 0.998916i | \(-0.514821\pi\) |
0.888359 | − | 0.459149i | \(-0.151846\pi\) | |||||||
\(752\) | −2.20880e12 | + | 8.03937e11i | −0.251870 | + | 0.0916730i | ||||
\(753\) | −5.80684e10 | + | 4.87252e10i | −0.00658207 | + | 0.00552301i | ||||
\(754\) | 2.06408e12 | + | 3.57508e12i | 0.232570 | + | 0.402824i | ||||
\(755\) | −2.85016e12 | + | 1.61641e13i | −0.319234 | + | 1.81046i | ||||
\(756\) | −5.61646e11 | + | 3.18526e12i | −0.0625338 | + | 0.354647i | ||||
\(757\) | −5.63578e12 | − | 4.72898e12i | −0.623768 | − | 0.523403i | 0.275218 | − | 0.961382i | \(-0.411250\pi\) |
−0.898985 | + | 0.437979i | \(0.855695\pi\) | |||||||
\(758\) | 8.58473e12 | + | 3.12459e12i | 0.944529 | + | 0.343780i | ||||
\(759\) | −2.74698e11 | − | 9.99817e10i | −0.0300446 | − | 0.0109353i | ||||
\(760\) | 2.88725e12 | + | 2.42269e12i | 0.313923 | + | 0.263413i | ||||
\(761\) | 2.28289e12 | − | 1.29469e13i | 0.246748 | − | 1.39938i | −0.569651 | − | 0.821887i | \(-0.692922\pi\) |
0.816399 | − | 0.577489i | \(-0.195967\pi\) | |||||||
\(762\) | −2.89602e11 | + | 1.64242e12i | −0.0311175 | + | 0.176476i | ||||
\(763\) | −1.01699e13 | − | 1.76148e13i | −1.08632 | − | 1.88156i | ||||
\(764\) | −1.76195e12 | + | 1.47845e12i | −0.187100 | + | 0.156995i | ||||
\(765\) | 2.75466e12 | − | 1.00261e12i | 0.290798 | − | 0.105842i | ||||
\(766\) | 1.08663e13 | − | 1.88209e13i | 1.14038 | − | 1.97520i | ||||
\(767\) | −7.74608e12 | − | 1.34166e13i | −0.808170 | − | 1.39979i | ||||
\(768\) | 2.88602e11 | + | 2.42166e11i | 0.0299347 | + | 0.0251182i | ||||
\(769\) | −2.65530e12 | + | 4.59911e12i | −0.273807 | + | 0.474248i | −0.969833 | − | 0.243769i | \(-0.921616\pi\) |
0.696026 | + | 0.718016i | \(0.254950\pi\) | |||||||
\(770\) | −1.82769e12 | − | 1.03653e13i | −0.187367 | − | 1.06261i | ||||
\(771\) | 1.39477e12 | 0.142154 | ||||||||
\(772\) | −1.93320e12 | − | 1.09637e13i | −0.195884 | − | 1.11091i | ||||
\(773\) | 1.83404e11 | − | 1.53894e11i | 0.0184757 | − | 0.0155030i | −0.633503 | − | 0.773740i | \(-0.718384\pi\) |
0.651979 | + | 0.758237i | \(0.273939\pi\) | |||||||
\(774\) | −1.67498e12 | − | 6.09642e11i | −0.167755 | − | 0.0610577i | ||||
\(775\) | −1.07531e13 | + | 3.91380e12i | −1.07072 | + | 0.389710i | ||||
\(776\) | −9.16273e12 | −0.907083 | ||||||||
\(777\) | −3.65155e11 | − | 1.20181e12i | −0.0359404 | − | 0.118288i | ||||
\(778\) | −7.48006e11 | −0.0731976 | ||||||||
\(779\) | 3.87113e12 | − | 1.40898e12i | 0.376634 | − | 0.137084i | ||||
\(780\) | −2.51704e12 | − | 9.16127e11i | −0.243480 | − | 0.0886196i | ||||
\(781\) | −2.65643e12 | + | 2.22901e12i | −0.255487 | + | 0.214379i | ||||
\(782\) | −5.98664e11 | − | 3.39519e12i | −0.0572470 | − | 0.324664i | ||||
\(783\) | −5.35669e11 | −0.0509294 | ||||||||
\(784\) | −4.68617e11 | − | 2.65766e12i | −0.0442992 | − | 0.251233i | ||||
\(785\) | 9.52099e12 | − | 1.64908e13i | 0.894888 | − | 1.54999i | ||||
\(786\) | 2.72716e11 | + | 2.28836e11i | 0.0254864 | + | 0.0213857i | ||||
\(787\) | −6.14923e12 | − | 1.06508e13i | −0.571393 | − | 0.989681i | −0.996423 | − | 0.0845021i | \(-0.973070\pi\) |
0.425031 | − | 0.905179i | \(-0.360263\pi\) | |||||||
\(788\) | 8.16282e12 | − | 1.41384e13i | 0.754175 | − | 1.30627i | ||||
\(789\) | −1.26764e11 | + | 4.61383e10i | −0.0116453 | + | 0.00423853i | ||||
\(790\) | −4.19547e13 | + | 3.52041e13i | −3.83229 | + | 3.21567i | ||||
\(791\) | −8.83166e12 | − | 1.52969e13i | −0.802136 | − | 1.38934i | ||||
\(792\) | 3.97639e11 | − | 2.25512e12i | 0.0359108 | − | 0.203660i | ||||
\(793\) | −2.45010e12 | + | 1.38952e13i | −0.220016 | + | 1.24777i | ||||
\(794\) | 1.10724e13 | + | 9.29084e12i | 0.988665 | + | 0.829589i | ||||
\(795\) | 1.83768e12 | + | 6.68861e11i | 0.163162 | + | 0.0593860i | ||||
\(796\) | −1.02858e13 | − | 3.74372e12i | −0.908090 | − | 0.330518i | ||||
\(797\) | −1.08756e13 | − | 9.12571e12i | −0.954752 | − | 0.801132i | 0.0253393 | − | 0.999679i | \(-0.491933\pi\) |
−0.980091 | + | 0.198547i | \(0.936378\pi\) | |||||||
\(798\) | −1.21718e11 | + | 6.90296e11i | −0.0106253 | + | 0.0602590i | ||||
\(799\) | 2.89395e11 | − | 1.64124e12i | 0.0251206 | − | 0.142466i | ||||
\(800\) | 1.57307e13 | + | 2.72464e13i | 1.35782 | + | 2.35182i | ||||
\(801\) | 4.84252e12 | − | 4.06335e12i | 0.415647 | − | 0.348769i | ||||
\(802\) | −2.17837e13 | + | 7.92863e12i | −1.85929 | + | 0.676727i | ||||
\(803\) | 2.82329e12 | − | 4.89008e12i | 0.239627 | − | 0.415046i | ||||
\(804\) | −5.23276e11 | − | 9.06340e11i | −0.0441650 | − | 0.0764960i | ||||
\(805\) | 2.63109e13 | + | 2.20775e13i | 2.20828 | + | 1.85297i | ||||
\(806\) | −5.21102e12 | + | 9.02575e12i | −0.434926 | + | 0.753313i | ||||
\(807\) | −1.07027e11 | − | 6.06978e11i | −0.00888303 | − | 0.0503782i | ||||
\(808\) | 1.24731e13 | 1.02949 | ||||||||
\(809\) | −2.37726e11 | − | 1.34821e12i | −0.0195123 | − | 0.110660i | 0.973496 | − | 0.228704i | \(-0.0734487\pi\) |
−0.993008 | + | 0.118044i | \(0.962338\pi\) | |||||||
\(810\) | −2.56807e13 | + | 2.15487e13i | −2.09616 | + | 1.75889i | ||||
\(811\) | 3.31869e12 | + | 1.20790e12i | 0.269385 | + | 0.0980480i | 0.473181 | − | 0.880965i | \(-0.343106\pi\) |
−0.203796 | + | 0.979013i | \(0.565328\pi\) | |||||||
\(812\) | −6.30266e12 | + | 2.29398e12i | −0.508770 | + | 0.185177i | ||||
\(813\) | −1.11123e11 | −0.00892064 | ||||||||
\(814\) | 1.64153e12 | + | 5.40265e12i | 0.131050 | + | 0.431317i | ||||
\(815\) | 1.73976e13 | 1.38128 | ||||||||
\(816\) | 6.20072e10 | − | 2.25688e10i | 0.00489594 | − | 0.00178198i | ||||
\(817\) | −4.33053e11 | − | 1.57619e11i | −0.0340049 | − | 0.0123768i | ||||
\(818\) | 1.45784e13 | − | 1.22327e13i | 1.13846 | − | 0.955285i | ||||
\(819\) | 3.17627e12 | + | 1.80135e13i | 0.246684 | + | 1.39901i | ||||
\(820\) | −4.30636e13 | −3.32619 | ||||||||
\(821\) | 1.00829e12 | + | 5.71828e12i | 0.0774533 | + | 0.439259i | 0.998731 | + | 0.0503550i | \(0.0160353\pi\) |
−0.921278 | + | 0.388904i | \(0.872854\pi\) | |||||||
\(822\) | −6.65406e11 | + | 1.15252e12i | −0.0508351 | + | 0.0880490i | ||||
\(823\) | 1.56818e13 | + | 1.31586e13i | 1.19150 | + | 0.999791i | 0.999832 | + | 0.0183320i | \(0.00583558\pi\) |
0.191672 | + | 0.981459i | \(0.438609\pi\) | |||||||
\(824\) | −8.89105e12 | − | 1.53997e13i | −0.671863 | − | 1.16370i | ||||
\(825\) | −3.88906e11 | + | 6.73605e11i | −0.0292282 | + | 0.0506247i | ||||
\(826\) | 3.98231e13 | − | 1.44944e13i | 2.97663 | − | 1.08340i | ||||
\(827\) | 5.76076e12 | − | 4.83385e12i | 0.428257 | − | 0.359351i | −0.403036 | − | 0.915184i | \(-0.632045\pi\) |
0.831294 | + | 0.555833i | \(0.187601\pi\) | |||||||
\(828\) | 1.18110e13 | + | 2.04573e13i | 0.873276 | + | 1.51256i | ||||
\(829\) | 1.87667e12 | − | 1.06431e13i | 0.138004 | − | 0.782660i | −0.834716 | − | 0.550680i | \(-0.814368\pi\) |
0.972721 | − | 0.231980i | \(-0.0745204\pi\) | |||||||
\(830\) | 2.51129e12 | − | 1.42422e13i | 0.183673 | − | 1.04166i | ||||
\(831\) | 5.01568e11 | + | 4.20865e11i | 0.0364859 | + | 0.0306153i | ||||
\(832\) | 2.24296e13 | + | 8.16372e12i | 1.62281 | + | 0.590654i | ||||
\(833\) | 1.79798e12 | + | 6.54411e11i | 0.129384 | + | 0.0470921i | ||||
\(834\) | 4.04462e11 | + | 3.39384e11i | 0.0289488 | + | 0.0242909i | ||||
\(835\) | 1.68999e12 | − | 9.58440e12i | 0.120308 | − | 0.682300i | ||||
\(836\) | 3.24990e11 | − | 1.84311e12i | 0.0230114 | − | 0.130504i | ||||
\(837\) | −6.76182e11 | − | 1.17118e12i | −0.0476210 | − | 0.0824821i | ||||
\(838\) | −5.67098e12 | + | 4.75851e12i | −0.397246 | + | 0.333329i | ||||
\(839\) | −5.24869e11 | + | 1.91037e11i | −0.0365698 | + | 0.0133103i | −0.360240 | − | 0.932860i | \(-0.617305\pi\) |
0.323671 | + | 0.946170i | \(0.395083\pi\) | |||||||
\(840\) | 1.15894e12 | − | 2.00735e12i | 0.0803166 | − | 0.139113i | ||||
\(841\) | 6.69817e12 | + | 1.16016e13i | 0.461715 | + | 0.799714i | ||||
\(842\) | −1.34446e13 | − | 1.12814e13i | −0.921816 | − | 0.773496i | ||||
\(843\) | 3.15998e11 | − | 5.47324e11i | 0.0215506 | − | 0.0373268i | ||||
\(844\) | −5.21020e12 | − | 2.95485e13i | −0.353438 | − | 2.00445i | ||||
\(845\) | −3.90760e12 | −0.263667 | ||||||||
\(846\) | 3.33850e12 | + | 1.89336e13i | 0.224071 | + | 1.27077i | ||||
\(847\) | 1.40824e13 | − | 1.18165e13i | 0.940158 | − | 0.788886i | ||||
\(848\) | −4.80157e12 | − | 1.74763e12i | −0.318862 | − | 0.116056i | ||||
\(849\) | 7.29963e10 | − | 2.65685e10i | 0.00482188 | − | 0.00175502i | ||||
\(850\) | −9.17314e12 | −0.602744 | ||||||||
\(851\) | −1.54360e13 | − | 1.00623e13i | −1.00891 | − | 0.657679i | ||||
\(852\) | −2.41409e12 | −0.156955 | ||||||||
\(853\) | 1.98113e13 | − | 7.21071e12i | 1.28127 | − | 0.466345i | 0.390420 | − | 0.920637i | \(-0.372330\pi\) |
0.890853 | + | 0.454291i | \(0.150107\pi\) | |||||||
\(854\) | −3.62691e13 | − | 1.32009e13i | −2.33333 | − | 0.849262i | ||||
\(855\) | −6.69776e12 | + | 5.62009e12i | −0.428629 | + | 0.359663i | ||||
\(856\) | 2.97261e12 | + | 1.68585e13i | 0.189237 | + | 1.07322i | ||||
\(857\) | −1.15648e12 | −0.0732360 | −0.0366180 | − | 0.999329i | \(-0.511658\pi\) | ||||
−0.0366180 | + | 0.999329i | \(0.511658\pi\) | |||||||
\(858\) | 1.23013e11 | + | 6.97639e11i | 0.00774920 | + | 0.0439479i | ||||
\(859\) | 8.28380e11 | − | 1.43480e12i | 0.0519111 | − | 0.0899127i | −0.838902 | − | 0.544282i | \(-0.816802\pi\) |
0.890813 | + | 0.454369i | \(0.150135\pi\) | |||||||
\(860\) | 3.69035e12 | + | 3.09657e12i | 0.230051 | + | 0.193036i | ||||
\(861\) | −1.26673e12 | − | 2.19404e12i | −0.0785543 | − | 0.136060i | ||||
\(862\) | 2.36142e13 | − | 4.09010e13i | 1.45677 | − | 2.52320i | ||||
\(863\) | −3.27548e12 | + | 1.19218e12i | −0.201014 | + | 0.0731631i | −0.440565 | − | 0.897721i | \(-0.645222\pi\) |
0.239551 | + | 0.970884i | \(0.423000\pi\) | |||||||
\(864\) | −2.84825e12 | + | 2.38996e12i | −0.173887 | + | 0.145908i | ||||
\(865\) | 1.60363e13 | + | 2.77756e13i | 0.973936 | + | 1.68691i | ||||
\(866\) | −7.22277e12 | + | 4.09624e13i | −0.436389 | + | 2.47488i | ||||
\(867\) | 2.58883e11 | − | 1.46820e12i | 0.0155603 | − | 0.0882469i | ||||
\(868\) | −1.29715e13 | − | 1.08843e13i | −0.775622 | − | 0.650824i | ||||
\(869\) | 8.08412e12 | + | 2.94238e12i | 0.480888 | + | 0.175029i | ||||
\(870\) | 1.14033e12 | + | 4.15047e11i | 0.0674830 | + | 0.0245618i | ||||
\(871\) | −9.10681e12 | − | 7.64152e12i | −0.536148 | − | 0.449881i | ||||
\(872\) | −3.49664e12 | + | 1.98304e13i | −0.204798 | + | 1.16147i | ||||
\(873\) | 3.69096e12 | − | 2.09325e13i | 0.215068 | − | 1.21971i | ||||
\(874\) | 5.14134e12 | + | 8.90505e12i | 0.298040 | + | 0.516220i | ||||
\(875\) | 3.82133e13 | − | 3.20647e13i | 2.20383 | − | 1.84923i | ||||
\(876\) | 3.69386e12 | − | 1.34446e12i | 0.211940 | − | 0.0771398i | ||||
\(877\) | −1.02921e13 | + | 1.78265e13i | −0.587500 | + | 1.01758i | 0.407059 | + | 0.913402i | \(0.366554\pi\) |
−0.994559 | + | 0.104177i | \(0.966779\pi\) | |||||||
\(878\) | −1.23986e13 | − | 2.14750e13i | −0.704122 | − | 1.21958i | ||||
\(879\) | 7.69916e11 | + | 6.46036e11i | 0.0435004 | + | 0.0365012i | ||||
\(880\) | 1.47764e12 | − | 2.55934e12i | 0.0830607 | − | 0.143865i | ||||
\(881\) | 1.68084e12 | + | 9.53253e12i | 0.0940016 | + | 0.533110i | 0.995049 | + | 0.0993884i | \(0.0316886\pi\) |
−0.901047 | + | 0.433721i | \(0.857200\pi\) | |||||||
\(882\) | −2.20729e13 | −1.22815 | ||||||||
\(883\) | 1.00387e12 | + | 5.69325e12i | 0.0555720 | + | 0.315164i | 0.999904 | − | 0.0138285i | \(-0.00440189\pi\) |
−0.944332 | + | 0.328993i | \(0.893291\pi\) | |||||||
\(884\) | −3.80121e12 | + | 3.18960e12i | −0.209357 | + | 0.175671i | ||||
\(885\) | −4.27944e12 | − | 1.55759e12i | −0.234500 | − | 0.0853509i | ||||
\(886\) | −1.57522e13 | + | 5.73334e12i | −0.858796 | + | 0.312576i | ||||
\(887\) | −1.25179e13 | −0.679006 | −0.339503 | − | 0.940605i | \(-0.610259\pi\) | ||||
−0.339503 | + | 0.940605i | \(0.610259\pi\) | |||||||
\(888\) | −4.87851e11 | + | 1.14379e12i | −0.0263287 | + | 0.0617290i | ||||
\(889\) | −3.07798e13 | −1.65275 | ||||||||
\(890\) | −2.70301e13 | + | 9.83817e12i | −1.44409 | + | 0.525605i | ||||
\(891\) | 4.94833e12 | + | 1.80105e12i | 0.263032 | + | 0.0957360i | ||||
\(892\) | 3.23901e13 | − | 2.71785e13i | 1.71305 | − | 1.43742i | ||||
\(893\) | 8.63146e11 | + | 4.89515e12i | 0.0454206 | + | 0.257593i | ||||
\(894\) | 4.04366e12 | 0.211717 | ||||||||
\(895\) | −7.82264e12 | − | 4.43644e13i | −0.407521 | − | 2.31117i | ||||
\(896\) | −1.67331e13 | + | 2.89826e13i | −0.867342 | + | 1.50228i | ||||
\(897\) | −1.77086e12 | − | 1.48593e12i | −0.0913310 | − | 0.0766358i | ||||
\(898\) | 1.36353e13 | + | 2.36170e13i | 0.699714 | + | 1.21194i | ||||
\(899\) | 1.40220e12 | − | 2.42868e12i | 0.0715962 | − | 0.124008i | ||||
\(900\) | 5.90622e13 | − | 2.14969e13i | 3.00067 | − | 1.09215i | ||||
\(901\) | 2.77525e12 | − | 2.32871e12i | 0.140295 | − | 0.117721i | ||||
\(902\) | 5.69450e12 | + | 9.86316e12i | 0.286435 | + | 0.496120i | ||||
\(903\) | −4.92139e10 | + | 2.79106e11i | −0.00246316 | + | 0.0139693i | ||||
\(904\) | −3.03651e12 | + | 1.72209e13i | −0.151223 | + | 0.857626i | ||||
\(905\) | 4.62362e12 | + | 3.87967e12i | 0.229120 | + | 0.192255i | ||||
\(906\) | 2.83969e12 | + | 1.03356e12i | 0.140021 | + | 0.0509636i | ||||
\(907\) | 3.06984e13 | + | 1.11733e13i | 1.50620 | + | 0.548213i | 0.957658 | − | 0.287908i | \(-0.0929596\pi\) |
0.548545 | + | 0.836121i | \(0.315182\pi\) | |||||||
\(908\) | 3.23596e13 | + | 2.71529e13i | 1.57985 | + | 1.32565i | ||||
\(909\) | −5.02446e12 | + | 2.84951e13i | −0.244091 | + | 1.38431i | ||||
\(910\) | 1.44532e13 | − | 8.19680e13i | 0.698678 | − | 3.96240i | ||||
\(911\) | 4.23919e12 | + | 7.34249e12i | 0.203915 | + | 0.353192i | 0.949787 | − | 0.312898i | \(-0.101300\pi\) |
−0.745871 | + | 0.666090i | \(0.767967\pi\) | |||||||
\(912\) | −1.50766e11 | + | 1.26508e11i | −0.00721650 | + | 0.00605536i | ||||
\(913\) | −2.13468e12 | + | 7.76961e11i | −0.101675 | + | 0.0370067i | ||||
\(914\) | −2.41181e13 | + | 4.17739e13i | −1.14310 | + | 1.97992i | ||||
\(915\) | 2.07383e12 | + | 3.59197e12i | 0.0978088 | + | 0.169410i | ||||
\(916\) | −3.48545e13 | − | 2.92464e13i | −1.63580 | − | 1.37260i | ||||
\(917\) | −3.28519e12 | + | 5.69012e12i | −0.153426 | + | 0.265741i | ||||
\(918\) | −1.88250e11 | − | 1.06762e12i | −0.00874868 | − | 0.0496162i | ||||
\(919\) | 2.57794e12 | 0.119221 | 0.0596105 | − | 0.998222i | \(-0.481014\pi\) | ||||
0.0596105 | + | 0.998222i | \(0.481014\pi\) | |||||||
\(920\) | −5.90452e12 | − | 3.34862e13i | −0.271731 | − | 1.54106i | ||||
\(921\) | −3.96750e11 | + | 3.32913e11i | −0.0181697 | + | 0.0152462i | ||||
\(922\) | −3.42644e13 | − | 1.24712e13i | −1.56154 | − | 0.568355i | ||||
\(923\) | −2.57687e13 | + | 9.37902e12i | −1.16865 | + | 0.425354i | ||||
\(924\) | −1.15096e12 | −0.0519443 | ||||||||
\(925\) | −3.34985e13 | + | 3.57983e13i | −1.50449 | + | 1.60777i | ||||
\(926\) | 6.77499e13 | 3.02802 | ||||||||
\(927\) | 3.87627e13 | − | 1.41085e13i | 1.72407 | − | 0.627510i | ||||
\(928\) | −7.24528e12 | − | 2.63707e12i | −0.320693 | − | 0.116723i | ||||
\(929\) | −1.21528e13 | + | 1.01974e13i | −0.535312 | + | 0.449180i | −0.869931 | − | 0.493173i | \(-0.835837\pi\) |
0.334619 | + | 0.942354i | \(0.391392\pi\) | |||||||
\(930\) | 5.32001e11 | + | 3.01713e12i | 0.0233206 | + | 0.132258i | ||||
\(931\) | −5.70679e12 | −0.248954 | ||||||||
\(932\) | 4.32270e12 | + | 2.45153e13i | 0.187665 | + | 1.06430i | ||||
\(933\) | −1.52934e12 | + | 2.64890e12i | −0.0660751 | + | 0.114445i | ||||
\(934\) | 4.07135e13 | + | 3.41627e13i | 1.75056 | + | 1.46890i | ||||
\(935\) | 1.04765e12 | + | 1.81459e12i | 0.0448297 | + | 0.0776474i | ||||
\(936\) | 9.05419e12 | − | 1.56823e13i | 0.385575 | − | 0.667835i | ||||
\(937\) | 2.02063e13 | − | 7.35451e12i | 0.856367 | − | 0.311692i | 0.123733 | − | 0.992316i | \(-0.460513\pi\) |
0.732633 | + | 0.680624i | \(0.238291\pi\) | |||||||
\(938\) | 2.49117e13 | − | 2.09034e13i | 1.05073 | − | 0.881666i | ||||
\(939\) | −9.85904e11 | − | 1.70764e12i | −0.0413847 | − | 0.0716804i | ||||
\(940\) | 9.02282e12 | − | 5.11709e13i | 0.376935 | − | 2.13771i | ||||
\(941\) | −5.09311e11 | + | 2.88845e12i | −0.0211753 | + | 0.120091i | −0.993563 | − | 0.113280i | \(-0.963864\pi\) |
0.972388 | + | 0.233371i | \(0.0749756\pi\) | |||||||
\(942\) | −2.68566e12 | − | 2.25354e12i | −0.111128 | − | 0.0932472i | ||||
\(943\) | −3.49238e13 | − | 1.27112e13i | −1.43820 | − | 0.523462i | ||||
\(944\) | 1.11815e13 | + | 4.06974e12i | 0.458276 | + | 0.166799i | ||||
\(945\) | 8.27348e12 | + | 6.94227e12i | 0.337478 | + | 0.283177i | ||||
\(946\) | 2.21238e11 | − | 1.25470e12i | 0.00898150 | − | 0.0509366i | ||||
\(947\) | 5.47086e12 | − | 3.10268e13i | 0.221045 | − | 1.25361i | −0.649058 | − | 0.760739i | \(-0.724837\pi\) |
0.870103 | − | 0.492870i | \(-0.164052\pi\) | |||||||
\(948\) | 2.99452e12 | + | 5.18665e12i | 0.120417 | + | 0.208569i | ||||
\(949\) | 3.42059e13 | − | 2.87021e13i | 1.36900 | − | 1.14873i | ||||
\(950\) | 2.57097e13 | − | 9.35757e12i | 1.02410 | − | 0.372741i | ||||
\(951\) | 5.33000e11 | − | 9.23182e11i | 0.0211307 | − | 0.0365995i | ||||
\(952\) | −2.14697e12 | − | 3.71867e12i | −0.0847150 | − | 0.146731i | ||||
\(953\) | −2.37424e12 | − | 1.99222e12i | −0.0932408 | − | 0.0782383i | 0.594976 | − | 0.803744i | \(-0.297162\pi\) |
−0.688217 | + | 0.725505i | \(0.741606\pi\) | |||||||
\(954\) | −2.08968e13 | + | 3.61943e13i | −0.816792 | + | 1.41473i | ||||
\(955\) | 1.33368e12 | + | 7.56366e12i | 0.0518843 | + | 0.294250i | ||||
\(956\) | 1.52386e12 | 0.0590043 | ||||||||
\(957\) | −3.31006e10 | − | 1.87723e11i | −0.00127565 | − | 0.00723458i | ||||
\(958\) | −6.95489e12 | + | 5.83585e12i | −0.266775 | + | 0.223851i | ||||
\(959\) | −2.30800e13 | − | 8.40045e12i | −0.881156 | − | 0.320715i | ||||
\(960\) | 6.59343e12 | − | 2.39981e12i | 0.250548 | − | 0.0911920i | ||||
\(961\) | −1.93596e13 | −0.732219 | ||||||||
\(962\) | −2.41415e12 | + | 4.45869e13i | −0.0908815 | + | 1.67849i | ||||
\(963\) | −3.97112e13 | −1.48797 | ||||||||
\(964\) | 7.06964e12 | − | 2.57314e12i | 0.263664 | − | 0.0959658i | ||||
\(965\) | −3.49328e13 | − | 1.27145e13i | −1.29676 | − | 0.471983i | ||||
\(966\) | 4.84420e12 | − | 4.06476e12i | 0.178988 | − | 0.150189i | ||||
\(967\) | 5.55650e12 | + | 3.15125e13i | 0.204353 | + | 1.15895i | 0.898454 | + | 0.439068i | \(0.144691\pi\) |
−0.694101 | + | 0.719878i | \(0.744198\pi\) | |||||||
\(968\) | −1.81993e13 | −0.666216 | ||||||||
\(969\) | −2.42310e10 | − | 1.37421e11i | −0.000882904 | − | 0.00500720i | ||||
\(970\) | −4.83599e13 | + | 8.37617e13i | −1.75393 | + | 3.03790i | ||||
\(971\) | 1.39518e13 | + | 1.17069e13i | 0.503666 | + | 0.422626i | 0.858894 | − | 0.512154i | \(-0.171152\pi\) |
−0.355228 | + | 0.934780i | \(0.615597\pi\) | |||||||
\(972\) | 5.57894e12 | + | 9.66300e12i | 0.200472 | + | 0.347227i | ||||
\(973\) | −4.87223e12 | + | 8.43894e12i | −0.174269 | + | 0.301842i | ||||
\(974\) | −2.73561e13 | + | 9.95682e12i | −0.973957 | + | 0.354491i | ||||
\(975\) | −4.71183e12 | + | 3.95370e12i | −0.166982 | + | 0.140114i | ||||
\(976\) | −5.41859e12 | − | 9.38527e12i | −0.191145 | − | 0.331072i | ||||
\(977\) | −2.82983e11 | + | 1.60488e12i | −0.00993654 | + | 0.0563529i | −0.989373 | − | 0.145401i | \(-0.953553\pi\) |
0.979436 | + | 0.201754i | \(0.0646640\pi\) | |||||||
\(978\) | 5.56219e11 | − | 3.15447e12i | 0.0194411 | − | 0.110256i | ||||
\(979\) | 3.46128e12 | + | 2.90436e12i | 0.120425 | + | 0.101048i | ||||
\(980\) | 5.60577e13 | + | 2.04033e13i | 1.94141 | + | 0.706617i | ||||
\(981\) | −4.38946e13 | − | 1.59763e13i | −1.51321 | − | 0.550765i | ||||
\(982\) | 1.90037e13 | + | 1.59460e13i | 0.652133 | + | 0.547205i | ||||
\(983\) | −6.38732e12 | + | 3.62243e13i | −0.218186 | + | 1.23740i | 0.657104 | + | 0.753800i | \(0.271781\pi\) |
−0.875291 | + | 0.483597i | \(0.839330\pi\) | |||||||
\(984\) | −4.35528e11 | + | 2.47000e12i | −0.0148094 | + | 0.0839885i | ||||
\(985\) | −2.72572e13 | − | 4.72109e13i | −0.922611 | − | 1.59801i | ||||
\(986\) | 1.72212e12 | − | 1.44503e12i | 0.0580253 | − | 0.0486890i | ||||
\(987\) | 2.87251e12 | − | 1.04551e12i | 0.0963462 | − | 0.0350672i | ||||
\(988\) | 7.40000e12 | − | 1.28172e13i | 0.247073 | − | 0.427943i | ||||
\(989\) | 2.07878e12 | + | 3.60056e12i | 0.0690917 | + | 0.119670i | ||||
\(990\) | −1.85167e13 | − | 1.55373e13i | −0.612639 | − | 0.514065i | ||||
\(991\) | 2.66853e13 | − | 4.62203e13i | 0.878902 | − | 1.52230i | 0.0263549 | − | 0.999653i | \(-0.491610\pi\) |
0.852547 | − | 0.522650i | \(-0.175057\pi\) | |||||||
\(992\) | −3.38015e12 | − | 1.91698e13i | −0.110824 | − | 0.628514i | ||||
\(993\) | −4.69237e11 | −0.0153151 | ||||||||
\(994\) | −1.30261e13 | − | 7.38745e13i | −0.423228 | − | 2.40025i | ||||
\(995\) | −2.79993e13 | + | 2.34942e13i | −0.905614 | + | 0.759900i | ||||
\(996\) | −1.48608e12 | − | 5.40890e11i | −0.0478493 | − | 0.0174157i | ||||
\(997\) | 3.84399e13 | − | 1.39910e13i | 1.23212 | − | 0.448456i | 0.357800 | − | 0.933798i | \(-0.383527\pi\) |
0.874324 | + | 0.485342i | \(0.161305\pi\) | |||||||
\(998\) | 7.29811e13 | 2.32875 | ||||||||
\(999\) | −4.85384e12 | − | 3.16409e12i | −0.154184 | − | 0.100509i |
(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 | 37.10.f.a.7.4 | ✓ | 162 | |
37.16 | even | 9 | inner | 37.10.f.a.16.4 | yes | 162 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.10.f.a.7.4 | ✓ | 162 | 1.1 | even | 1 | trivial | |
37.10.f.a.16.4 | yes | 162 | 37.16 | even | 9 | inner |