Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,9,Mod(8,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.8");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.g (of order \(12\), degree \(4\), 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: | \(15.0730085723\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 8.18 | ||
Character | \(\chi\) | \(=\) | 37.8 |
Dual form | 37.9.g.a.14.18 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 13.2543 | + | 3.55149i | 0.828396 | + | 0.221968i | 0.648014 | − | 0.761629i | \(-0.275600\pi\) |
0.180382 | + | 0.983597i | \(0.442267\pi\) | |||||||
\(3\) | 86.8010 | + | 50.1146i | 1.07162 | + | 0.618699i | 0.928623 | − | 0.371025i | \(-0.120994\pi\) |
0.142995 | + | 0.989723i | \(0.454327\pi\) | |||||||
\(4\) | −58.6381 | − | 33.8547i | −0.229055 | − | 0.132245i | ||||
\(5\) | 964.131 | − | 258.338i | 1.54261 | − | 0.413341i | 0.615502 | − | 0.788135i | \(-0.288953\pi\) |
0.927108 | + | 0.374794i | \(0.122287\pi\) | |||||||
\(6\) | 972.509 | + | 972.509i | 0.750392 | + | 0.750392i | ||||
\(7\) | 1465.21 | − | 2537.82i | 0.610251 | − | 1.05699i | −0.380947 | − | 0.924597i | \(-0.624402\pi\) |
0.991198 | − | 0.132389i | \(-0.0422648\pi\) | |||||||
\(8\) | −3140.90 | − | 3140.90i | −0.766822 | − | 0.766822i | ||||
\(9\) | 1742.45 | + | 3018.00i | 0.265576 | + | 0.459991i | ||||
\(10\) | 13696.4 | 1.36964 | ||||||||
\(11\) | 3965.91i | 0.270877i | 0.990786 | + | 0.135439i | \(0.0432443\pi\) | ||||
−0.990786 | + | 0.135439i | \(0.956756\pi\) | |||||||
\(12\) | −3393.23 | − | 5877.25i | −0.163640 | − | 0.283432i | ||||
\(13\) | 15470.9 | − | 4145.42i | 0.541680 | − | 0.145143i | 0.0224033 | − | 0.999749i | \(-0.492868\pi\) |
0.519276 | + | 0.854606i | \(0.326202\pi\) | |||||||
\(14\) | 28433.5 | − | 28433.5i | 0.740147 | − | 0.740147i | ||||
\(15\) | 96634.1 | + | 25893.0i | 1.90882 | + | 0.511467i | ||||
\(16\) | −21808.9 | − | 37774.1i | −0.332777 | − | 0.576387i | ||||
\(17\) | −25897.5 | + | 96650.9i | −0.310072 | + | 1.15720i | 0.618418 | + | 0.785849i | \(0.287774\pi\) |
−0.928491 | + | 0.371356i | \(0.878893\pi\) | |||||||
\(18\) | 12376.5 | + | 46189.9i | 0.117899 | + | 0.440004i | ||||
\(19\) | −199942. | + | 53574.2i | −1.53422 | + | 0.411094i | −0.924394 | − | 0.381439i | \(-0.875429\pi\) |
−0.609829 | + | 0.792533i | \(0.708762\pi\) | |||||||
\(20\) | −65280.8 | − | 17491.9i | −0.408005 | − | 0.109325i | ||||
\(21\) | 254364. | − | 146857.i | 1.30791 | − | 0.755123i | ||||
\(22\) | −14084.9 | + | 52565.5i | −0.0601261 | + | 0.224393i | ||||
\(23\) | 346204. | + | 346204.i | 1.23715 | + | 1.23715i | 0.961162 | + | 0.275985i | \(0.0890040\pi\) |
0.275985 | + | 0.961162i | \(0.410996\pi\) | |||||||
\(24\) | −115229. | − | 430039.i | −0.347308 | − | 1.29617i | ||||
\(25\) | 524520. | − | 302832.i | 1.34277 | − | 0.775249i | ||||
\(26\) | 219779. | 0.480942 | ||||||||
\(27\) | − | 308316.i | − | 0.580151i | ||||||
\(28\) | −171835. | + | 99208.8i | −0.279562 | + | 0.161405i | ||||
\(29\) | −473679. | + | 473679.i | −0.669719 | + | 0.669719i | −0.957651 | − | 0.287932i | \(-0.907032\pi\) |
0.287932 | + | 0.957651i | \(0.407032\pi\) | |||||||
\(30\) | 1.18886e6 | + | 686390.i | 1.46773 | + | 0.847395i | ||||
\(31\) | 382450. | − | 382450.i | 0.414122 | − | 0.414122i | −0.469050 | − | 0.883172i | \(-0.655403\pi\) |
0.883172 | + | 0.469050i | \(0.155403\pi\) | |||||||
\(32\) | 139402. | + | 520257.i | 0.132944 | + | 0.496156i | ||||
\(33\) | −198750. | + | 344245.i | −0.167591 | + | 0.290277i | ||||
\(34\) | −686509. | + | 1.18907e6i | −0.513725 | + | 0.889798i | ||||
\(35\) | 757041. | − | 2.82532e6i | 0.504484 | − | 1.88276i | ||||
\(36\) | − | 235960.i | − | 0.140485i | ||||||
\(37\) | 680804. | + | 1.74613e6i | 0.363258 | + | 0.931689i | ||||
\(38\) | −2.84036e6 | −1.36219 | ||||||||
\(39\) | 1.55064e6 | + | 415492.i | 0.670273 | + | 0.179599i | ||||
\(40\) | −3.83966e6 | − | 2.21683e6i | −1.49987 | − | 0.865949i | ||||
\(41\) | −3.98057e6 | − | 2.29818e6i | −1.40867 | − | 0.813297i | −0.413411 | − | 0.910545i | \(-0.635663\pi\) |
−0.995260 | + | 0.0972478i | \(0.968996\pi\) | |||||||
\(42\) | 3.89299e6 | − | 1.04312e6i | 1.25108 | − | 0.335227i | ||||
\(43\) | 1.78609e6 | + | 1.78609e6i | 0.522432 | + | 0.522432i | 0.918305 | − | 0.395873i | \(-0.129558\pi\) |
−0.395873 | + | 0.918305i | \(0.629558\pi\) | |||||||
\(44\) | 134265. | − | 232554.i | 0.0358221 | − | 0.0620458i | ||||
\(45\) | 2.45961e6 | + | 2.45961e6i | 0.599814 | + | 0.599814i | ||||
\(46\) | 3.35917e6 | + | 5.81825e6i | 0.750241 | + | 1.29945i | ||||
\(47\) | −6.68425e6 | −1.36981 | −0.684906 | − | 0.728631i | \(-0.740157\pi\) | ||||
−0.684906 | + | 0.728631i | \(0.740157\pi\) | |||||||
\(48\) | − | 4.37178e6i | − | 0.823556i | ||||||
\(49\) | −1.41130e6 | − | 2.44444e6i | −0.244813 | − | 0.424029i | ||||
\(50\) | 8.02766e6 | − | 2.15101e6i | 1.28443 | − | 0.344161i | ||||
\(51\) | −7.09155e6 | + | 7.09155e6i | −1.04824 | + | 1.04824i | ||||
\(52\) | −1.04753e6 | − | 280684.i | −0.143269 | − | 0.0383888i | ||||
\(53\) | −5.37863e6 | − | 9.31606e6i | −0.681660 | − | 1.18067i | −0.974474 | − | 0.224501i | \(-0.927925\pi\) |
0.292814 | − | 0.956170i | \(-0.405408\pi\) | |||||||
\(54\) | 1.09498e6 | − | 4.08652e6i | 0.128775 | − | 0.480595i | ||||
\(55\) | 1.02455e6 | + | 3.82366e6i | 0.111965 | + | 0.417858i | ||||
\(56\) | −1.25732e7 | + | 3.36897e6i | −1.27847 | + | 0.342566i | ||||
\(57\) | −2.00400e7 | − | 5.36970e6i | −1.89844 | − | 0.508687i | ||||
\(58\) | −7.96057e6 | + | 4.59604e6i | −0.703448 | + | 0.406136i | ||||
\(59\) | −214451. | + | 800341.i | −0.0176978 | + | 0.0660491i | −0.974210 | − | 0.225643i | \(-0.927552\pi\) |
0.956512 | + | 0.291692i | \(0.0942183\pi\) | |||||||
\(60\) | −4.78984e6 | − | 4.78984e6i | −0.369586 | − | 0.369586i | ||||
\(61\) | 2.74098e6 | + | 1.02295e7i | 0.197964 | + | 0.738813i | 0.991480 | + | 0.130263i | \(0.0415820\pi\) |
−0.793515 | + | 0.608550i | \(0.791751\pi\) | |||||||
\(62\) | 6.42740e6 | − | 3.71086e6i | 0.434979 | − | 0.251135i | ||||
\(63\) | 1.02122e7 | 0.648273 | ||||||||
\(64\) | 1.85569e7i | 1.10608i | ||||||||
\(65\) | 1.38451e7 | − | 7.99346e6i | 0.775607 | − | 0.447797i | ||||
\(66\) | −3.85688e6 | + | 3.85688e6i | −0.203264 | + | 0.203264i | ||||
\(67\) | 2.08437e6 | + | 1.20341e6i | 0.103437 | + | 0.0597194i | 0.550826 | − | 0.834620i | \(-0.314313\pi\) |
−0.447389 | + | 0.894339i | \(0.647646\pi\) | |||||||
\(68\) | 4.79067e6 | − | 4.79067e6i | 0.224058 | − | 0.224058i | ||||
\(69\) | 1.27010e7 | + | 4.74008e7i | 0.560327 | + | 2.09117i | ||||
\(70\) | 2.00682e7 | − | 3.47591e7i | 0.835825 | − | 1.44769i | ||||
\(71\) | 2.13059e6 | − | 3.69029e6i | 0.0838430 | − | 0.145220i | −0.821055 | − | 0.570850i | \(-0.806614\pi\) |
0.904898 | + | 0.425629i | \(0.139947\pi\) | |||||||
\(72\) | 4.00641e6 | − | 1.49521e7i | 0.149082 | − | 0.556381i | ||||
\(73\) | − | 4.09453e7i | − | 1.44182i | −0.693027 | − | 0.720912i | \(-0.743723\pi\) | ||
0.693027 | − | 0.720912i | \(-0.256277\pi\) | |||||||
\(74\) | 2.82223e6 | + | 2.55617e7i | 0.0941166 | + | 0.852439i | ||||
\(75\) | 6.07051e7 | 1.91858 | ||||||||
\(76\) | 1.35379e7 | + | 3.62748e6i | 0.405787 | + | 0.108730i | ||||
\(77\) | 1.00648e7 | + | 5.81090e6i | 0.286313 | + | 0.165303i | ||||
\(78\) | 1.90770e7 | + | 1.10141e7i | 0.515386 | + | 0.297558i | ||||
\(79\) | 2.28751e7 | − | 6.12935e6i | 0.587292 | − | 0.157364i | 0.0470766 | − | 0.998891i | \(-0.485010\pi\) |
0.540215 | + | 0.841527i | \(0.318343\pi\) | |||||||
\(80\) | −3.07852e7 | − | 3.07852e7i | −0.751591 | − | 0.751591i | ||||
\(81\) | 2.68833e7 | − | 4.65633e7i | 0.624515 | − | 1.08169i | ||||
\(82\) | −4.45978e7 | − | 4.45978e7i | −0.986412 | − | 0.986412i | ||||
\(83\) | 8.84049e6 | + | 1.53122e7i | 0.186279 | + | 0.322645i | 0.944007 | − | 0.329926i | \(-0.107024\pi\) |
−0.757728 | + | 0.652571i | \(0.773690\pi\) | |||||||
\(84\) | −1.98872e7 | −0.399445 | ||||||||
\(85\) | 9.98745e7i | 1.91328i | ||||||||
\(86\) | 1.73302e7 | + | 3.00167e7i | 0.316817 | + | 0.548744i | ||||
\(87\) | −6.48541e7 | + | 1.73776e7i | −1.13204 | + | 0.303328i | ||||
\(88\) | 1.24565e7 | − | 1.24565e7i | 0.207715 | − | 0.207715i | ||||
\(89\) | 5.47148e7 | + | 1.46608e7i | 0.872056 | + | 0.233667i | 0.666977 | − | 0.745079i | \(-0.267588\pi\) |
0.205080 | + | 0.978745i | \(0.434255\pi\) | |||||||
\(90\) | 2.38652e7 | + | 4.13358e7i | 0.363744 | + | 0.630023i | ||||
\(91\) | 1.21478e7 | − | 4.53364e7i | 0.177147 | − | 0.661121i | ||||
\(92\) | −8.58012e6 | − | 3.20214e7i | −0.119768 | − | 0.446981i | ||||
\(93\) | 5.23634e7 | − | 1.40307e7i | 0.699997 | − | 0.187564i | ||||
\(94\) | −8.85953e7 | − | 2.37390e7i | −1.13475 | − | 0.304055i | ||||
\(95\) | −1.78930e8 | + | 1.03305e8i | −2.19679 | + | 1.26832i | ||||
\(96\) | −1.39722e7 | + | 5.21449e7i | −0.164505 | + | 0.613942i | ||||
\(97\) | 1.28065e7 | + | 1.28065e7i | 0.144658 | + | 0.144658i | 0.775727 | − | 0.631069i | \(-0.217383\pi\) |
−0.631069 | + | 0.775727i | \(0.717383\pi\) | |||||||
\(98\) | −1.00244e7 | − | 3.74117e7i | −0.108681 | − | 0.405605i | ||||
\(99\) | −1.19691e7 | + | 6.91038e6i | −0.124601 | + | 0.0719385i | ||||
\(100\) | −4.10091e7 | −0.410091 | ||||||||
\(101\) | − | 5.30884e7i | − | 0.510169i | −0.966919 | − | 0.255084i | \(-0.917897\pi\) | ||
0.966919 | − | 0.255084i | \(-0.0821032\pi\) | |||||||
\(102\) | −1.19179e8 | + | 6.88083e7i | −1.10103 | + | 0.635682i | ||||
\(103\) | −7.02788e6 | + | 7.02788e6i | −0.0624418 | + | 0.0624418i | −0.737638 | − | 0.675196i | \(-0.764059\pi\) |
0.675196 | + | 0.737638i | \(0.264059\pi\) | |||||||
\(104\) | −6.16130e7 | − | 3.55723e7i | −0.526671 | − | 0.304073i | ||||
\(105\) | 2.07302e8 | − | 2.07302e8i | 1.70547 | − | 1.70547i | ||||
\(106\) | −3.82043e7 | − | 1.42580e8i | −0.302614 | − | 1.12937i | ||||
\(107\) | 1.80031e7 | − | 3.11823e7i | 0.137345 | − | 0.237888i | −0.789146 | − | 0.614206i | \(-0.789476\pi\) |
0.926491 | + | 0.376317i | \(0.122810\pi\) | |||||||
\(108\) | −1.04380e7 | + | 1.80791e7i | −0.0767221 | + | 0.132887i | ||||
\(109\) | −1.42548e7 | + | 5.31995e7i | −0.100984 | + | 0.376878i | −0.997859 | − | 0.0654069i | \(-0.979165\pi\) |
0.896874 | + | 0.442285i | \(0.145832\pi\) | |||||||
\(110\) | 5.43187e7i | 0.371004i | ||||||||
\(111\) | −2.84123e7 | + | 1.85684e8i | −0.187161 | + | 1.22316i | ||||
\(112\) | −1.27819e8 | −0.812311 | ||||||||
\(113\) | −4.64593e7 | − | 1.24487e7i | −0.284944 | − | 0.0763505i | 0.113516 | − | 0.993536i | \(-0.463789\pi\) |
−0.398460 | + | 0.917186i | \(0.630455\pi\) | |||||||
\(114\) | −2.46546e8 | − | 1.42344e8i | −1.45975 | − | 0.842788i | ||||
\(115\) | 4.23224e8 | + | 2.44349e8i | 2.41980 | + | 1.39707i | ||||
\(116\) | 4.38119e7 | − | 1.17394e7i | 0.241969 | − | 0.0648355i | ||||
\(117\) | 3.94681e7 | + | 3.94681e7i | 0.210622 | + | 0.210622i | ||||
\(118\) | −5.68481e6 | + | 9.84637e6i | −0.0293216 | + | 0.0507865i | ||||
\(119\) | 2.07338e8 | + | 2.07338e8i | 1.03393 | + | 1.03393i | ||||
\(120\) | −2.22191e8 | − | 3.84846e8i | −1.07152 | − | 1.85593i | ||||
\(121\) | 1.98630e8 | 0.926626 | ||||||||
\(122\) | 1.45320e8i | 0.655971i | ||||||||
\(123\) | −2.30345e8 | − | 3.98969e8i | −1.00637 | − | 1.74309i | ||||
\(124\) | −3.53739e7 | + | 9.47842e6i | −0.149622 | + | 0.0400912i | ||||
\(125\) | 1.51773e8 | − | 1.51773e8i | 0.621660 | − | 0.621660i | ||||
\(126\) | 1.35356e8 | + | 3.62686e7i | 0.537027 | + | 0.143896i | ||||
\(127\) | −2.97708e7 | − | 5.15645e7i | −0.114439 | − | 0.198215i | 0.803116 | − | 0.595823i | \(-0.203174\pi\) |
−0.917555 | + | 0.397608i | \(0.869840\pi\) | |||||||
\(128\) | −3.02176e7 | + | 1.12774e8i | −0.112569 | + | 0.420115i | ||||
\(129\) | 6.55253e7 | + | 2.44544e8i | 0.236619 | + | 0.883075i | ||||
\(130\) | 2.11896e8 | − | 5.67773e7i | 0.741907 | − | 0.198793i | ||||
\(131\) | −4.97337e8 | − | 1.33261e8i | −1.68875 | − | 0.452500i | −0.718685 | − | 0.695336i | \(-0.755256\pi\) |
−0.970067 | + | 0.242836i | \(0.921922\pi\) | |||||||
\(132\) | 2.33087e7 | − | 1.34573e7i | 0.0767753 | − | 0.0443262i | ||||
\(133\) | −1.56995e8 | + | 5.85914e8i | −0.501741 | + | 1.87252i | ||||
\(134\) | 2.33531e7 | + | 2.33531e7i | 0.0724310 | + | 0.0724310i | ||||
\(135\) | −7.96498e7 | − | 2.97257e8i | −0.239800 | − | 0.894947i | ||||
\(136\) | 3.84913e8 | − | 2.22230e8i | 1.12514 | − | 0.649600i | ||||
\(137\) | 5.20584e7 | 0.147778 | 0.0738888 | − | 0.997266i | \(-0.476459\pi\) | ||||
0.0738888 | + | 0.997266i | \(0.476459\pi\) | |||||||
\(138\) | 6.73374e8i | 1.85669i | ||||||||
\(139\) | −8.32637e7 | + | 4.80723e7i | −0.223047 | + | 0.128776i | −0.607360 | − | 0.794426i | \(-0.707772\pi\) |
0.384313 | + | 0.923203i | \(0.374438\pi\) | |||||||
\(140\) | −1.40042e8 | + | 1.40042e8i | −0.364540 | + | 0.364540i | ||||
\(141\) | −5.80199e8 | − | 3.34978e8i | −1.46791 | − | 0.847501i | ||||
\(142\) | 4.13456e7 | − | 4.13456e7i | 0.101689 | − | 0.101689i | ||||
\(143\) | 1.64404e7 | + | 6.13563e7i | 0.0393158 | + | 0.146729i | ||||
\(144\) | 7.60016e7 | − | 1.31639e8i | 0.176756 | − | 0.306150i | ||||
\(145\) | −3.34320e8 | + | 5.79059e8i | −0.756293 | + | 1.30994i | ||||
\(146\) | 1.45417e8 | − | 5.42702e8i | 0.320039 | − | 1.19440i | ||||
\(147\) | − | 2.82907e8i | − | 0.605862i | ||||||
\(148\) | 1.91938e7 | − | 1.25438e8i | 0.0400050 | − | 0.261447i | ||||
\(149\) | 6.58326e8 | 1.33566 | 0.667830 | − | 0.744314i | \(-0.267223\pi\) | ||||
0.667830 | + | 0.744314i | \(0.267223\pi\) | |||||||
\(150\) | 8.04606e8 | + | 2.15594e8i | 1.58935 | + | 0.425864i | ||||
\(151\) | −3.94810e8 | − | 2.27944e8i | −0.759417 | − | 0.438450i | 0.0696694 | − | 0.997570i | \(-0.477806\pi\) |
−0.829086 | + | 0.559121i | \(0.811139\pi\) | |||||||
\(152\) | 7.96268e8 | + | 4.59726e8i | 1.49171 | + | 0.861241i | ||||
\(153\) | −3.36818e8 | + | 9.02501e7i | −0.614652 | + | 0.164696i | ||||
\(154\) | 1.12765e8 | + | 1.12765e8i | 0.200489 | + | 0.200489i | ||||
\(155\) | 2.69931e8 | − | 4.67534e8i | 0.467655 | − | 0.810003i | ||||
\(156\) | −7.68601e7 | − | 7.68601e7i | −0.129778 | − | 0.129778i | ||||
\(157\) | 1.79923e8 | + | 3.11636e8i | 0.296134 | + | 0.512918i | 0.975248 | − | 0.221114i | \(-0.0709693\pi\) |
−0.679114 | + | 0.734032i | \(0.737636\pi\) | |||||||
\(158\) | 3.24962e8 | 0.521440 | ||||||||
\(159\) | − | 1.07819e9i | − | 1.68697i | ||||||
\(160\) | 2.68804e8 | + | 4.65583e8i | 0.410163 | + | 0.710423i | ||||
\(161\) | 1.38587e9 | − | 3.71343e8i | 2.06262 | − | 0.552677i | ||||
\(162\) | 5.21689e8 | − | 5.21689e8i | 0.757447 | − | 0.757447i | ||||
\(163\) | 3.44998e8 | + | 9.24419e7i | 0.488726 | + | 0.130954i | 0.494763 | − | 0.869028i | \(-0.335255\pi\) |
−0.00603661 | + | 0.999982i | \(0.501922\pi\) | |||||||
\(164\) | 1.55609e8 | + | 2.69522e8i | 0.215109 | + | 0.372580i | ||||
\(165\) | −1.02689e8 | + | 3.83242e8i | −0.138545 | + | 0.517056i | ||||
\(166\) | 6.27938e7 | + | 2.34350e8i | 0.0826960 | + | 0.308626i | ||||
\(167\) | −1.02508e9 | + | 2.74669e8i | −1.31792 | + | 0.353137i | −0.848200 | − | 0.529676i | \(-0.822314\pi\) |
−0.469725 | + | 0.882813i | \(0.655647\pi\) | |||||||
\(168\) | −1.26020e9 | − | 3.37669e8i | −1.58198 | − | 0.423891i | ||||
\(169\) | −4.84279e8 | + | 2.79599e8i | −0.593675 | + | 0.342758i | ||||
\(170\) | −3.54703e8 | + | 1.32377e9i | −0.424687 | + | 1.58496i | ||||
\(171\) | −5.10074e8 | − | 5.10074e8i | −0.596553 | − | 0.596553i | ||||
\(172\) | −4.42654e7 | − | 1.65201e8i | −0.0505767 | − | 0.188755i | ||||
\(173\) | −1.26631e9 | + | 7.31104e8i | −1.41369 | + | 0.816197i | −0.995734 | − | 0.0922681i | \(-0.970588\pi\) |
−0.417961 | + | 0.908465i | \(0.637255\pi\) | |||||||
\(174\) | −9.21314e8 | −1.00510 | ||||||||
\(175\) | − | 1.77485e9i | − | 1.89239i | ||||||
\(176\) | 1.49809e8 | − | 8.64922e7i | 0.156130 | − | 0.0901418i | ||||
\(177\) | −5.87233e7 | + | 5.87233e7i | −0.0598298 | + | 0.0598298i | ||||
\(178\) | 6.73140e8 | + | 3.88638e8i | 0.670541 | + | 0.387137i | ||||
\(179\) | −1.27936e9 | + | 1.27936e9i | −1.24618 | + | 1.24618i | −0.288789 | + | 0.957393i | \(0.593253\pi\) |
−0.957393 | + | 0.288789i | \(0.906747\pi\) | |||||||
\(180\) | −6.09575e7 | − | 2.27497e8i | −0.0580680 | − | 0.216713i | ||||
\(181\) | 9.72827e8 | − | 1.68499e9i | 0.906403 | − | 1.56994i | 0.0873794 | − | 0.996175i | \(-0.472151\pi\) |
0.819023 | − | 0.573760i | \(-0.194516\pi\) | |||||||
\(182\) | 3.22023e8 | − | 5.57761e8i | 0.293496 | − | 0.508349i | ||||
\(183\) | −2.74726e8 | + | 1.02529e9i | −0.244961 | + | 0.914205i | ||||
\(184\) | − | 2.17479e9i | − | 1.89734i | ||||||
\(185\) | 1.10748e9 | + | 1.50763e9i | 0.945471 | + | 1.28708i | ||||
\(186\) | 7.43873e8 | 0.621508 | ||||||||
\(187\) | −3.83309e8 | − | 1.02707e8i | −0.313460 | − | 0.0839914i | ||||
\(188\) | 3.91952e8 | + | 2.26293e8i | 0.313762 | + | 0.181151i | ||||
\(189\) | −7.82452e8 | − | 4.51749e8i | −0.613211 | − | 0.354038i | ||||
\(190\) | −2.73848e9 | + | 7.33774e8i | −2.10134 | + | 0.563051i | ||||
\(191\) | 1.22511e9 | + | 1.22511e9i | 0.920541 | + | 0.920541i | 0.997068 | − | 0.0765264i | \(-0.0243829\pi\) |
−0.0765264 | + | 0.997068i | \(0.524383\pi\) | |||||||
\(192\) | −9.29972e8 | + | 1.61076e9i | −0.684329 | + | 1.18529i | ||||
\(193\) | −5.21021e8 | − | 5.21021e8i | −0.375514 | − | 0.375514i | 0.493967 | − | 0.869481i | \(-0.335546\pi\) |
−0.869481 | + | 0.493967i | \(0.835546\pi\) | |||||||
\(194\) | 1.24259e8 | + | 2.15223e8i | 0.0877246 | + | 0.151943i | ||||
\(195\) | 1.60236e9 | 1.10821 | ||||||||
\(196\) | 1.91117e8i | 0.129501i | ||||||||
\(197\) | −6.32526e8 | − | 1.09557e9i | −0.419966 | − | 0.727402i | 0.575970 | − | 0.817471i | \(-0.304625\pi\) |
−0.995936 | + | 0.0900691i | \(0.971291\pi\) | |||||||
\(198\) | −1.83185e8 | + | 4.90843e7i | −0.119187 | + | 0.0319361i | ||||
\(199\) | 1.13782e9 | − | 1.13782e9i | 0.725542 | − | 0.725542i | −0.244186 | − | 0.969728i | \(-0.578521\pi\) |
0.969728 | + | 0.244186i | \(0.0785207\pi\) | |||||||
\(200\) | −2.59863e9 | − | 6.96301e8i | −1.62414 | − | 0.435188i | ||||
\(201\) | 1.20617e8 | + | 2.08915e8i | 0.0738966 | + | 0.127993i | ||||
\(202\) | 1.88543e8 | − | 7.03651e8i | 0.113241 | − | 0.422622i | ||||
\(203\) | 5.08073e8 | + | 1.89616e9i | 0.299187 | + | 1.11658i | ||||
\(204\) | 6.55918e8 | − | 1.75753e8i | 0.378729 | − | 0.101480i | ||||
\(205\) | −4.43150e9 | − | 1.18742e9i | −2.50920 | − | 0.672338i | ||||
\(206\) | −1.18109e8 | + | 6.81904e7i | −0.0655866 | + | 0.0378664i | ||||
\(207\) | −4.41604e8 | + | 1.64809e9i | −0.240520 | + | 0.897634i | ||||
\(208\) | −4.93993e8 | − | 4.93993e8i | −0.263917 | − | 0.263917i | ||||
\(209\) | −2.12470e8 | − | 7.92950e8i | −0.111356 | − | 0.415586i | ||||
\(210\) | 3.48387e9 | − | 2.01142e9i | 1.79137 | − | 1.03425i | ||||
\(211\) | −2.51796e8 | −0.127034 | −0.0635169 | − | 0.997981i | \(-0.520232\pi\) | ||||
−0.0635169 | + | 0.997981i | \(0.520232\pi\) | |||||||
\(212\) | 7.28368e8i | 0.360585i | ||||||||
\(213\) | 3.69875e8 | − | 2.13547e8i | 0.179695 | − | 0.103747i | ||||
\(214\) | 3.49363e8 | − | 3.49363e8i | 0.166580 | − | 0.166580i | ||||
\(215\) | 2.18344e9 | + | 1.26061e9i | 1.02185 | + | 0.589966i | ||||
\(216\) | −9.68391e8 | + | 9.68391e8i | −0.444873 | + | 0.444873i | ||||
\(217\) | −4.10220e8 | − | 1.53096e9i | −0.185003 | − | 0.690440i | ||||
\(218\) | −3.77875e8 | + | 6.54498e8i | −0.167310 | + | 0.289789i | ||||
\(219\) | 2.05196e9 | − | 3.55409e9i | 0.892055 | − | 1.54508i | ||||
\(220\) | 6.93715e7 | − | 2.58898e8i | 0.0296135 | − | 0.110519i | ||||
\(221\) | 1.60263e9i | 0.671839i | ||||||||
\(222\) | −1.03604e9 | + | 2.36022e9i | −0.426546 | + | 0.971718i | ||||
\(223\) | −8.84740e8 | −0.357764 | −0.178882 | − | 0.983871i | \(-0.557248\pi\) | ||||
−0.178882 | + | 0.983871i | \(0.557248\pi\) | |||||||
\(224\) | 1.52457e9 | + | 4.08508e8i | 0.605559 | + | 0.162259i | ||||
\(225\) | 1.82789e9 | + | 1.05533e9i | 0.713216 | + | 0.411775i | ||||
\(226\) | −5.71576e8 | − | 3.30000e8i | −0.219099 | − | 0.126497i | ||||
\(227\) | 2.58649e8 | − | 6.93048e7i | 0.0974108 | − | 0.0261011i | −0.209784 | − | 0.977748i | \(-0.567276\pi\) |
0.307195 | + | 0.951647i | \(0.400610\pi\) | |||||||
\(228\) | 9.93317e8 | + | 9.93317e8i | 0.367577 | + | 0.367577i | ||||
\(229\) | 1.75694e9 | − | 3.04311e9i | 0.638875 | − | 1.10656i | −0.346805 | − | 0.937937i | \(-0.612734\pi\) |
0.985680 | − | 0.168626i | \(-0.0539331\pi\) | |||||||
\(230\) | 4.74176e9 | + | 4.74176e9i | 1.69445 | + | 1.69445i | ||||
\(231\) | 5.82422e8 | + | 1.00878e9i | 0.204546 | + | 0.354283i | ||||
\(232\) | 2.97556e9 | 1.02711 | ||||||||
\(233\) | − | 4.45113e9i | − | 1.51024i | −0.655586 | − | 0.755121i | \(-0.727578\pi\) | ||
0.655586 | − | 0.755121i | \(-0.272422\pi\) | |||||||
\(234\) | 3.82953e8 | + | 6.63294e8i | 0.127727 | + | 0.221229i | ||||
\(235\) | −6.44449e9 | + | 1.72680e9i | −2.11309 | + | 0.566200i | ||||
\(236\) | 3.96703e7 | − | 3.96703e7i | 0.0127884 | − | 0.0127884i | ||||
\(237\) | 2.29275e9 | + | 6.14340e8i | 0.726713 | + | 0.194722i | ||||
\(238\) | 2.01176e9 | + | 3.48448e9i | 0.627003 | + | 1.08600i | ||||
\(239\) | −7.38431e8 | + | 2.75586e9i | −0.226317 | + | 0.844628i | 0.755555 | + | 0.655085i | \(0.227367\pi\) |
−0.981872 | + | 0.189543i | \(0.939299\pi\) | |||||||
\(240\) | −1.12940e9 | − | 4.21497e9i | −0.340410 | − | 1.27043i | ||||
\(241\) | 4.02091e8 | − | 1.07740e8i | 0.119194 | − | 0.0319381i | −0.198729 | − | 0.980055i | \(-0.563681\pi\) |
0.317923 | + | 0.948116i | \(0.397015\pi\) | |||||||
\(242\) | 2.63271e9 | + | 7.05434e8i | 0.767613 | + | 0.205681i | ||||
\(243\) | 2.91515e9 | − | 1.68306e9i | 0.836057 | − | 0.482697i | ||||
\(244\) | 1.85590e8 | − | 6.92633e8i | 0.0523596 | − | 0.195409i | ||||
\(245\) | −1.99217e9 | − | 1.99217e9i | −0.552920 | − | 0.552920i | ||||
\(246\) | −1.63613e9 | − | 6.10614e9i | −0.446765 | − | 1.66735i | ||||
\(247\) | −2.87119e9 | + | 1.65768e9i | −0.771390 | + | 0.445362i | ||||
\(248\) | −2.40248e9 | −0.635116 | ||||||||
\(249\) | 1.77215e9i | 0.461003i | ||||||||
\(250\) | 2.55066e9 | − | 1.47263e9i | 0.652970 | − | 0.376992i | ||||
\(251\) | 4.70031e9 | − | 4.70031e9i | 1.18422 | − | 1.18422i | 0.205577 | − | 0.978641i | \(-0.434093\pi\) |
0.978641 | − | 0.205577i | \(-0.0659071\pi\) | |||||||
\(252\) | −5.98825e8 | − | 3.45732e8i | −0.148490 | − | 0.0857309i | ||||
\(253\) | −1.37302e9 | + | 1.37302e9i | −0.335115 | + | 0.335115i | ||||
\(254\) | −2.11461e8 | − | 7.89184e8i | −0.0508038 | − | 0.189602i | ||||
\(255\) | −5.00517e9 | + | 8.66921e9i | −1.18374 | + | 2.05031i | ||||
\(256\) | 1.57425e9 | − | 2.72669e9i | 0.366535 | − | 0.634857i | ||||
\(257\) | 4.30864e8 | − | 1.60801e9i | 0.0987660 | − | 0.368600i | −0.898797 | − | 0.438364i | \(-0.855558\pi\) |
0.997564 | + | 0.0697643i | \(0.0222247\pi\) | |||||||
\(258\) | 3.47398e9i | 0.784058i | ||||||||
\(259\) | 5.42890e9 | + | 8.30697e8i | 1.20646 | + | 0.184605i | ||||
\(260\) | −1.08247e9 | −0.236876 | ||||||||
\(261\) | −2.25493e9 | − | 6.04206e8i | −0.485926 | − | 0.130203i | ||||
\(262\) | −6.11860e9 | − | 3.53258e9i | −1.29852 | − | 0.749698i | ||||
\(263\) | 3.62488e9 | + | 2.09283e9i | 0.757654 | + | 0.437432i | 0.828453 | − | 0.560059i | \(-0.189222\pi\) |
−0.0707989 | + | 0.997491i | \(0.522555\pi\) | |||||||
\(264\) | 1.70550e9 | − | 4.56986e8i | 0.351103 | − | 0.0940778i | ||||
\(265\) | −7.59240e9 | − | 7.59240e9i | −1.53956 | − | 1.53956i | ||||
\(266\) | −4.16173e9 | + | 7.20833e9i | −0.831281 | + | 1.43982i | ||||
\(267\) | 4.01458e9 | + | 4.01458e9i | 0.789941 | + | 0.789941i | ||||
\(268\) | −8.14824e7 | − | 1.41132e8i | −0.0157952 | − | 0.0273581i | ||||
\(269\) | −2.36986e9 | −0.452600 | −0.226300 | − | 0.974058i | \(-0.572663\pi\) | ||||
−0.226300 | + | 0.974058i | \(0.572663\pi\) | |||||||
\(270\) | − | 4.22282e9i | − | 0.794598i | ||||||
\(271\) | 4.56336e9 | + | 7.90397e9i | 0.846073 | + | 1.46544i | 0.884687 | + | 0.466186i | \(0.154372\pi\) |
−0.0386140 | + | 0.999254i | \(0.512294\pi\) | |||||||
\(272\) | 4.21570e9 | − | 1.12959e9i | 0.770183 | − | 0.206370i | ||||
\(273\) | 3.32646e9 | − | 3.32646e9i | 0.598869 | − | 0.598869i | ||||
\(274\) | 6.90000e8 | + | 1.84885e8i | 0.122418 | + | 0.0328019i | ||||
\(275\) | 1.20100e9 | + | 2.08020e9i | 0.209997 | + | 0.363726i | ||||
\(276\) | 8.59978e8 | − | 3.20948e9i | 0.148201 | − | 0.553094i | ||||
\(277\) | −5.60085e8 | − | 2.09027e9i | −0.0951338 | − | 0.355044i | 0.901906 | − | 0.431933i | \(-0.142168\pi\) |
−0.997040 | + | 0.0768884i | \(0.975501\pi\) | |||||||
\(278\) | −1.27433e9 | + | 3.41457e8i | −0.213356 | + | 0.0571684i | ||||
\(279\) | 1.82064e9 | + | 4.87838e8i | 0.300474 | + | 0.0805116i | ||||
\(280\) | −1.12518e10 | + | 6.49625e9i | −1.83059 | + | 1.05689i | ||||
\(281\) | 8.72872e8 | − | 3.25760e9i | 0.139999 | − | 0.522484i | −0.859928 | − | 0.510415i | \(-0.829492\pi\) |
0.999927 | − | 0.0120684i | \(-0.00384158\pi\) | |||||||
\(282\) | −6.50049e9 | − | 6.50049e9i | −1.02790 | − | 1.02790i | ||||
\(283\) | 2.88332e8 | + | 1.07607e9i | 0.0449518 | + | 0.167762i | 0.984753 | − | 0.173960i | \(-0.0556564\pi\) |
−0.939801 | + | 0.341722i | \(0.888990\pi\) | |||||||
\(284\) | −2.49868e8 | + | 1.44261e8i | −0.0384093 | + | 0.0221756i | ||||
\(285\) | −2.07084e10 | −3.13882 | ||||||||
\(286\) | 8.71624e8i | 0.130276i | ||||||||
\(287\) | −1.16648e10 | + | 6.73465e9i | −1.71929 | + | 0.992631i | ||||
\(288\) | −1.32724e9 | + | 1.32724e9i | −0.192920 | + | 0.192920i | ||||
\(289\) | −2.62953e9 | − | 1.51816e9i | −0.376953 | − | 0.217634i | ||||
\(290\) | −6.48770e9 | + | 6.48770e9i | −0.917274 | + | 0.917274i | ||||
\(291\) | 4.69823e8 | + | 1.75340e9i | 0.0655183 | + | 0.244518i | ||||
\(292\) | −1.38619e9 | + | 2.40095e9i | −0.190674 | + | 0.330257i | ||||
\(293\) | 4.41594e9 | − | 7.64864e9i | 0.599174 | − | 1.03780i | −0.393769 | − | 0.919209i | \(-0.628829\pi\) |
0.992943 | − | 0.118591i | \(-0.0378377\pi\) | |||||||
\(294\) | 1.00474e9 | − | 3.74974e9i | 0.134482 | − | 0.501894i | ||||
\(295\) | 8.27035e8i | 0.109203i | ||||||||
\(296\) | 3.34610e9 | − | 7.62278e9i | 0.435885 | − | 0.992994i | ||||
\(297\) | 1.22275e9 | 0.157150 | ||||||||
\(298\) | 8.72568e9 | + | 2.33804e9i | 1.10646 | + | 0.296474i | ||||
\(299\) | 6.79126e9 | + | 3.92094e9i | 0.849700 | + | 0.490575i | ||||
\(300\) | −3.55963e9 | − | 2.05516e9i | −0.439461 | − | 0.253723i | ||||
\(301\) | 7.14979e9 | − | 1.91578e9i | 0.871018 | − | 0.233389i | ||||
\(302\) | −4.42340e9 | − | 4.42340e9i | −0.531776 | − | 0.531776i | ||||
\(303\) | 2.66050e9 | − | 4.60812e9i | 0.315641 | − | 0.546706i | ||||
\(304\) | 6.38422e9 | + | 6.38422e9i | 0.747504 | + | 0.747504i | ||||
\(305\) | 5.28534e9 | + | 9.15447e9i | 0.610764 | + | 1.05787i | ||||
\(306\) | −4.78482e9 | −0.545732 | ||||||||
\(307\) | 2.41168e9i | 0.271498i | 0.990743 | + | 0.135749i | \(0.0433441\pi\) | ||||
−0.990743 | + | 0.135749i | \(0.956656\pi\) | |||||||
\(308\) | −3.93453e8 | − | 6.81481e8i | −0.0437210 | − | 0.0757270i | ||||
\(309\) | −9.62226e8 | + | 2.57828e8i | −0.105546 | + | 0.0282811i | ||||
\(310\) | 5.23820e9 | − | 5.23820e9i | 0.567199 | − | 0.567199i | ||||
\(311\) | 1.23011e10 | + | 3.29607e9i | 1.31493 | + | 0.352334i | 0.847076 | − | 0.531472i | \(-0.178361\pi\) |
0.467853 | + | 0.883806i | \(0.345028\pi\) | |||||||
\(312\) | −3.56538e9 | − | 6.17542e9i | −0.376260 | − | 0.651701i | ||||
\(313\) | 2.94398e9 | − | 1.09871e10i | 0.306731 | − | 1.14473i | −0.624715 | − | 0.780853i | \(-0.714785\pi\) |
0.931445 | − | 0.363881i | \(-0.118549\pi\) | |||||||
\(314\) | 1.27799e9 | + | 4.76952e9i | 0.131464 | + | 0.490632i | ||||
\(315\) | 9.84592e9 | − | 2.63821e9i | 1.00003 | − | 0.267958i | ||||
\(316\) | −1.54886e9 | − | 4.15015e8i | −0.155333 | − | 0.0416213i | ||||
\(317\) | −6.18029e9 | + | 3.56819e9i | −0.612028 | + | 0.353355i | −0.773759 | − | 0.633480i | \(-0.781626\pi\) |
0.161731 | + | 0.986835i | \(0.448292\pi\) | |||||||
\(318\) | 3.82918e9 | − | 1.42907e10i | 0.374453 | − | 1.39748i | ||||
\(319\) | −1.87857e9 | − | 1.87857e9i | −0.181411 | − | 0.181411i | ||||
\(320\) | 4.79396e9 | + | 1.78913e10i | 0.457187 | + | 1.70625i | ||||
\(321\) | 3.12538e9 | − | 1.80444e9i | 0.294363 | − | 0.169950i | ||||
\(322\) | 1.96876e10 | 1.83134 | ||||||||
\(323\) | − | 2.07120e10i | − | 1.90288i | ||||||
\(324\) | −3.15277e9 | + | 1.82025e9i | −0.286097 | + | 0.165178i | ||||
\(325\) | 6.85943e9 | − | 6.85943e9i | 0.614830 | − | 0.614830i | ||||
\(326\) | 4.24441e9 | + | 2.45051e9i | 0.375791 | + | 0.216963i | ||||
\(327\) | −3.90340e9 | + | 3.90340e9i | −0.341391 | + | 0.341391i | ||||
\(328\) | 5.28421e9 | + | 1.97210e10i | 0.456546 | + | 1.70385i | ||||
\(329\) | −9.79385e9 | + | 1.69634e10i | −0.835930 | + | 1.44787i | ||||
\(330\) | −2.72216e9 | + | 4.71492e9i | −0.229540 | + | 0.397575i | ||||
\(331\) | 3.03886e9 | − | 1.13412e10i | 0.253162 | − | 0.944812i | −0.715942 | − | 0.698160i | \(-0.754003\pi\) |
0.969104 | − | 0.246653i | \(-0.0793307\pi\) | |||||||
\(332\) | − | 1.19717e9i | − | 0.0985380i | ||||||
\(333\) | −4.08358e9 | + | 5.09721e9i | −0.332096 | + | 0.414530i | ||||
\(334\) | −1.45622e10 | −1.17015 | ||||||||
\(335\) | 2.32050e9 | + | 6.21775e8i | 0.184248 | + | 0.0493690i | ||||
\(336\) | −1.10948e10 | − | 6.40559e9i | −0.870487 | − | 0.502576i | ||||
\(337\) | −3.01661e9 | − | 1.74164e9i | −0.233883 | − | 0.135033i | 0.378479 | − | 0.925610i | \(-0.376447\pi\) |
−0.612362 | + | 0.790577i | \(0.709781\pi\) | |||||||
\(338\) | −7.41179e9 | + | 1.98598e9i | −0.567879 | + | 0.152163i | ||||
\(339\) | −3.40885e9 | − | 3.40885e9i | −0.258113 | − | 0.258113i | ||||
\(340\) | 3.38122e9 | − | 5.85645e9i | 0.253022 | − | 0.438247i | ||||
\(341\) | 1.51676e9 | + | 1.51676e9i | 0.112176 | + | 0.112176i | ||||
\(342\) | −4.94917e9 | − | 8.57222e9i | −0.361766 | − | 0.626598i | ||||
\(343\) | 8.62191e9 | 0.622912 | ||||||||
\(344\) | − | 1.12199e10i | − | 0.801225i | ||||||
\(345\) | 2.44909e10 | + | 4.24194e10i | 1.72873 | + | 2.99425i | ||||
\(346\) | −1.93806e10 | + | 5.19302e9i | −1.35227 | + | 0.362339i | ||||
\(347\) | −1.79535e10 | + | 1.79535e10i | −1.23832 | + | 1.23832i | −0.277626 | + | 0.960689i | \(0.589548\pi\) |
−0.960689 | + | 0.277626i | \(0.910452\pi\) | |||||||
\(348\) | 4.39124e9 | + | 1.17663e9i | 0.299412 | + | 0.0802273i | ||||
\(349\) | −2.78062e8 | − | 4.81618e8i | −0.0187431 | − | 0.0324639i | 0.856502 | − | 0.516144i | \(-0.172633\pi\) |
−0.875245 | + | 0.483680i | \(0.839300\pi\) | |||||||
\(350\) | 6.30337e9 | − | 2.35245e10i | 0.420049 | − | 1.56765i | ||||
\(351\) | −1.27810e9 | − | 4.76993e9i | −0.0842046 | − | 0.314256i | ||||
\(352\) | −2.06329e9 | + | 5.52857e8i | −0.134397 | + | 0.0360116i | ||||
\(353\) | −1.64906e10 | − | 4.41865e9i | −1.06203 | − | 0.284571i | −0.314817 | − | 0.949152i | \(-0.601943\pi\) |
−0.747216 | + | 0.664581i | \(0.768610\pi\) | |||||||
\(354\) | −9.86894e8 | + | 5.69783e8i | −0.0628431 | + | 0.0362825i | ||||
\(355\) | 1.10083e9 | − | 4.10834e9i | 0.0693115 | − | 0.258674i | ||||
\(356\) | −2.71203e9 | − | 2.71203e9i | −0.168848 | − | 0.168848i | ||||
\(357\) | 7.60647e9 | + | 2.83878e10i | 0.468285 | + | 1.74766i | ||||
\(358\) | −2.15007e10 | + | 1.24135e10i | −1.30894 | + | 0.755720i | ||||
\(359\) | 2.65373e10 | 1.59764 | 0.798821 | − | 0.601569i | \(-0.205457\pi\) | ||||
0.798821 | + | 0.601569i | \(0.205457\pi\) | |||||||
\(360\) | − | 1.54508e10i | − | 0.919901i | ||||||
\(361\) | 2.23982e10 | − | 1.29316e10i | 1.31882 | − | 0.761420i | ||||
\(362\) | 1.88784e10 | − | 1.88784e10i | 1.09934 | − | 1.09934i | ||||
\(363\) | 1.72413e10 | + | 9.95428e9i | 0.992988 | + | 0.573302i | ||||
\(364\) | −2.24718e9 | + | 2.24718e9i | −0.128006 | + | 0.128006i | ||||
\(365\) | −1.05777e10 | − | 3.94766e10i | −0.595965 | − | 2.22417i | ||||
\(366\) | −7.28263e9 | + | 1.26139e10i | −0.405849 | + | 0.702951i | ||||
\(367\) | −9.48648e9 | + | 1.64311e10i | −0.522926 | + | 0.905735i | 0.476718 | + | 0.879056i | \(0.341826\pi\) |
−0.999644 | + | 0.0266787i | \(0.991507\pi\) | |||||||
\(368\) | 5.52723e9 | − | 2.06279e10i | 0.301381 | − | 1.12477i | ||||
\(369\) | − | 1.60178e10i | − | 0.863969i | ||||||
\(370\) | 9.32458e9 | + | 2.39158e10i | 0.497533 | + | 1.27608i | ||||
\(371\) | −3.15233e10 | −1.66394 | ||||||||
\(372\) | −3.54550e9 | − | 9.50014e8i | −0.185142 | − | 0.0496087i | ||||
\(373\) | 2.75339e10 | + | 1.58967e10i | 1.42244 | + | 0.821244i | 0.996507 | − | 0.0835116i | \(-0.0266136\pi\) |
0.425930 | + | 0.904756i | \(0.359947\pi\) | |||||||
\(374\) | −4.71574e9 | − | 2.72263e9i | −0.241026 | − | 0.139156i | ||||
\(375\) | 2.07800e10 | − | 5.56799e9i | 1.05080 | − | 0.281562i | ||||
\(376\) | 2.09946e10 | + | 2.09946e10i | 1.05040 | + | 1.05040i | ||||
\(377\) | −5.36465e9 | + | 9.29185e9i | −0.265568 | + | 0.459978i | ||||
\(378\) | −8.76650e9 | − | 8.76650e9i | −0.429397 | − | 0.429397i | ||||
\(379\) | −1.70667e10 | − | 2.95604e10i | −0.827166 | − | 1.43269i | −0.900253 | − | 0.435367i | \(-0.856618\pi\) |
0.0730872 | − | 0.997326i | \(-0.476715\pi\) | |||||||
\(380\) | 1.39895e10 | 0.670914 | ||||||||
\(381\) | − | 5.96780e9i | − | 0.283214i | ||||||
\(382\) | 1.18871e10 | + | 2.05891e10i | 0.558242 | + | 0.966903i | ||||
\(383\) | 1.41066e10 | − | 3.77985e9i | 0.655582 | − | 0.175663i | 0.0843305 | − | 0.996438i | \(-0.473125\pi\) |
0.571251 | + | 0.820775i | \(0.306458\pi\) | |||||||
\(384\) | −8.27453e9 | + | 8.27453e9i | −0.380556 | + | 0.380556i | ||||
\(385\) | 1.12050e10 | + | 3.00236e9i | 0.509996 | + | 0.136653i | ||||
\(386\) | −5.05539e9 | − | 8.75619e9i | −0.227722 | − | 0.394426i | ||||
\(387\) | −2.27826e9 | + | 8.50259e9i | −0.101569 | + | 0.379060i | ||||
\(388\) | −3.17387e8 | − | 1.18451e9i | −0.0140043 | − | 0.0522649i | ||||
\(389\) | −6.71302e9 | + | 1.79875e9i | −0.293170 | + | 0.0785547i | −0.402406 | − | 0.915461i | \(-0.631826\pi\) |
0.109236 | + | 0.994016i | \(0.465159\pi\) | |||||||
\(390\) | 2.12382e10 | + | 5.69075e9i | 0.918033 | + | 0.245986i | ||||
\(391\) | −4.24268e10 | + | 2.44951e10i | −1.81524 | + | 1.04803i | ||||
\(392\) | −3.24500e9 | + | 1.21105e10i | −0.137427 | + | 0.512883i | ||||
\(393\) | −3.64911e10 | − | 3.64911e10i | −1.52974 | − | 1.52974i | ||||
\(394\) | −4.49282e9 | − | 1.67674e10i | −0.186438 | − | 0.695796i | ||||
\(395\) | 2.04711e10 | − | 1.18190e10i | 0.840917 | − | 0.485504i | ||||
\(396\) | 9.35796e8 | 0.0380540 | ||||||||
\(397\) | − | 2.88531e10i | − | 1.16153i | −0.814071 | − | 0.580765i | \(-0.802753\pi\) | ||
0.814071 | − | 0.580765i | \(-0.197247\pi\) | |||||||
\(398\) | 1.91221e10 | − | 1.10401e10i | 0.762084 | − | 0.439989i | ||||
\(399\) | −4.29902e10 | + | 4.29902e10i | −1.69620 | + | 1.69620i | ||||
\(400\) | −2.28784e10 | − | 1.32089e10i | −0.893687 | − | 0.515971i | ||||
\(401\) | −2.67906e10 | + | 2.67906e10i | −1.03611 | + | 1.03611i | −0.0367861 | + | 0.999323i | \(0.511712\pi\) |
−0.999323 | + | 0.0367861i | \(0.988288\pi\) | |||||||
\(402\) | 8.56741e8 | + | 3.19740e9i | 0.0328054 | + | 0.122431i | ||||
\(403\) | 4.33144e9 | − | 7.50227e9i | 0.164215 | − | 0.284428i | ||||
\(404\) | −1.79729e9 | + | 3.11300e9i | −0.0674673 | + | 0.116857i | ||||
\(405\) | 1.38900e10 | − | 5.18381e10i | 0.516275 | − | 1.92677i | ||||
\(406\) | 2.69367e10i | 0.991380i | ||||||||
\(407\) | −6.92501e9 | + | 2.70001e9i | −0.252373 | + | 0.0983983i | ||||
\(408\) | 4.45478e10 | 1.60763 | ||||||||
\(409\) | −3.62524e10 | − | 9.71379e9i | −1.29552 | − | 0.347133i | −0.455763 | − | 0.890101i | \(-0.650634\pi\) |
−0.839753 | + | 0.542968i | \(0.817300\pi\) | |||||||
\(410\) | −5.45195e10 | − | 3.14768e10i | −1.92937 | − | 1.11392i | ||||
\(411\) | 4.51873e9 | + | 2.60889e9i | 0.158361 | + | 0.0914299i | ||||
\(412\) | 6.50028e8 | − | 1.74175e8i | 0.0225602 | − | 0.00604499i | ||||
\(413\) | 1.71691e9 | + | 1.71691e9i | 0.0590129 | + | 0.0590129i | ||||
\(414\) | −1.17063e10 | + | 2.02760e10i | −0.398492 | + | 0.690208i | ||||
\(415\) | 1.24791e10 | + | 1.24791e10i | 0.420719 | + | 0.420719i | ||||
\(416\) | 4.31336e9 | + | 7.47097e9i | 0.144027 | + | 0.249461i | ||||
\(417\) | −9.63650e9 | −0.318695 | ||||||||
\(418\) | − | 1.12646e10i | − | 0.368987i | ||||||
\(419\) | −7.32416e8 | − | 1.26858e9i | −0.0237630 | − | 0.0411588i | 0.853899 | − | 0.520438i | \(-0.174231\pi\) |
−0.877662 | + | 0.479279i | \(0.840898\pi\) | |||||||
\(420\) | −1.91739e10 | + | 5.13763e9i | −0.616188 | + | 0.165107i | ||||
\(421\) | 5.67663e9 | − | 5.67663e9i | 0.180702 | − | 0.180702i | −0.610960 | − | 0.791662i | \(-0.709216\pi\) |
0.791662 | + | 0.610960i | \(0.209216\pi\) | |||||||
\(422\) | −3.33739e9 | − | 8.94251e8i | −0.105234 | − | 0.0281974i | ||||
\(423\) | −1.16469e10 | − | 2.01731e10i | −0.363789 | − | 0.630102i | ||||
\(424\) | −1.23671e10 | + | 4.61546e10i | −0.382652 | + | 1.42808i | ||||
\(425\) | 1.56852e10 | + | 5.85379e10i | 0.480766 | + | 1.79424i | ||||
\(426\) | 5.66086e9 | − | 1.51682e9i | 0.171887 | − | 0.0460571i | ||||
\(427\) | 2.99768e10 | + | 8.03225e9i | 0.901723 | + | 0.241616i | ||||
\(428\) | −2.11134e9 | + | 1.21898e9i | −0.0629191 | + | 0.0363264i | ||||
\(429\) | −1.64780e9 | + | 6.14969e9i | −0.0486493 | + | 0.181562i | ||||
\(430\) | 2.44630e10 | + | 2.44630e10i | 0.715544 | + | 0.715544i | ||||
\(431\) | 8.87935e9 | + | 3.31382e10i | 0.257319 | + | 0.960328i | 0.966786 | + | 0.255589i | \(0.0822694\pi\) |
−0.709466 | + | 0.704739i | \(0.751064\pi\) | |||||||
\(432\) | −1.16464e10 | + | 6.72403e9i | −0.334392 | + | 0.193061i | ||||
\(433\) | −2.31372e9 | −0.0658203 | −0.0329101 | − | 0.999458i | \(-0.510478\pi\) | ||||
−0.0329101 | + | 0.999458i | \(0.510478\pi\) | |||||||
\(434\) | − | 2.17488e10i | − | 0.613022i | ||||||
\(435\) | −5.80386e10 | + | 3.35086e10i | −1.62091 | + | 0.935834i | ||||
\(436\) | 2.63693e9 | − | 2.63693e9i | 0.0729713 | − | 0.0729713i | ||||
\(437\) | −8.77683e10 | − | 5.06730e10i | −2.40664 | − | 1.38948i | ||||
\(438\) | 3.98196e10 | − | 3.98196e10i | 1.08193 | − | 1.08193i | ||||
\(439\) | −1.29872e10 | − | 4.84689e10i | −0.349669 | − | 1.30498i | −0.887062 | − | 0.461651i | \(-0.847257\pi\) |
0.537393 | − | 0.843332i | \(-0.319409\pi\) | |||||||
\(440\) | 8.79174e9 | − | 1.52277e10i | 0.234566 | − | 0.406280i | ||||
\(441\) | 4.91822e9 | − | 8.51861e9i | 0.130033 | − | 0.225224i | ||||
\(442\) | −5.69174e9 | + | 2.12418e10i | −0.149127 | + | 0.556549i | ||||
\(443\) | − | 1.06993e10i | − | 0.277806i | −0.990306 | − | 0.138903i | \(-0.955642\pi\) | ||
0.990306 | − | 0.138903i | \(-0.0443576\pi\) | |||||||
\(444\) | 7.95234e9 | − | 9.92630e9i | 0.204627 | − | 0.255420i | ||||
\(445\) | 5.65397e10 | 1.44183 | ||||||||
\(446\) | −1.17266e10 | − | 3.14215e9i | −0.296370 | − | 0.0794121i | ||||
\(447\) | 5.71434e10 | + | 3.29918e10i | 1.43132 | + | 0.826371i | ||||
\(448\) | 4.70942e10 | + | 2.71898e10i | 1.16911 | + | 0.674985i | ||||
\(449\) | 3.18743e10 | − | 8.54070e9i | 0.784252 | − | 0.210140i | 0.155593 | − | 0.987821i | \(-0.450271\pi\) |
0.628658 | + | 0.777681i | \(0.283604\pi\) | |||||||
\(450\) | 2.04795e10 | + | 2.04795e10i | 0.499424 | + | 0.499424i | ||||
\(451\) | 9.11439e9 | − | 1.57866e10i | 0.220303 | − | 0.381577i | ||||
\(452\) | 2.30284e9 | + | 2.30284e9i | 0.0551709 | + | 0.0551709i | ||||
\(453\) | −2.28466e10 | − | 3.95715e10i | −0.542536 | − | 0.939701i | ||||
\(454\) | 3.67435e9 | 0.0864884 | ||||||||
\(455\) | − | 4.68485e10i | − | 1.09307i | ||||||
\(456\) | 4.60779e10 | + | 7.98093e10i | 1.06570 | + | 1.84584i | ||||
\(457\) | −7.72683e9 | + | 2.07040e9i | −0.177148 | + | 0.0474667i | −0.346303 | − | 0.938123i | \(-0.612563\pi\) |
0.169155 | + | 0.985590i | \(0.445896\pi\) | |||||||
\(458\) | 3.40947e10 | − | 3.40947e10i | 0.774863 | − | 0.774863i | ||||
\(459\) | 2.97990e10 | + | 7.98462e9i | 0.671353 | + | 0.179889i | ||||
\(460\) | −1.65447e10 | − | 2.86563e10i | −0.369512 | − | 0.640013i | ||||
\(461\) | 1.73256e10 | − | 6.46602e10i | 0.383606 | − | 1.43164i | −0.456746 | − | 0.889597i | \(-0.650985\pi\) |
0.840352 | − | 0.542041i | \(-0.182348\pi\) | |||||||
\(462\) | 4.13693e9 | + | 1.54392e10i | 0.0908052 | + | 0.338889i | ||||
\(463\) | −1.91944e10 | + | 5.14313e9i | −0.417687 | + | 0.111919i | −0.461541 | − | 0.887119i | \(-0.652703\pi\) |
0.0438537 | + | 0.999038i | \(0.486036\pi\) | |||||||
\(464\) | 2.82232e10 | + | 7.56240e9i | 0.608885 | + | 0.163150i | ||||
\(465\) | 4.68606e10 | − | 2.70550e10i | 1.00230 | − | 0.578675i | ||||
\(466\) | 1.58081e10 | − | 5.89968e10i | 0.335225 | − | 1.25108i | ||||
\(467\) | −8.66503e9 | − | 8.66503e9i | −0.182181 | − | 0.182181i | 0.610125 | − | 0.792305i | \(-0.291119\pi\) |
−0.792305 | + | 0.610125i | \(0.791119\pi\) | |||||||
\(468\) | −9.78153e8 | − | 3.65052e9i | −0.0203903 | − | 0.0760976i | ||||
\(469\) | 6.10810e9 | − | 3.52651e9i | 0.126245 | − | 0.0728877i | ||||
\(470\) | −9.15502e10 | −1.87615 | ||||||||
\(471\) | 3.60670e10i | 0.732870i | ||||||||
\(472\) | 3.18736e9 | − | 1.84023e9i | 0.0642190 | − | 0.0370769i | ||||
\(473\) | −7.08348e9 | + | 7.08348e9i | −0.141515 | + | 0.141515i | ||||
\(474\) | 2.82070e10 | + | 1.62853e10i | 0.558784 | + | 0.322614i | ||||
\(475\) | −8.86493e10 | + | 8.86493e10i | −1.74141 | + | 1.74141i | ||||
\(476\) | −5.13853e9 | − | 1.91772e10i | −0.100095 | − | 0.373558i | ||||
\(477\) | 1.87439e10 | − | 3.24654e10i | 0.362065 | − | 0.627116i | ||||
\(478\) | −1.95748e10 | + | 3.39046e10i | −0.374961 | + | 0.649452i | ||||
\(479\) | −1.36448e10 | + | 5.09232e10i | −0.259195 | + | 0.967328i | 0.706514 | + | 0.707699i | \(0.250267\pi\) |
−0.965709 | + | 0.259629i | \(0.916400\pi\) | |||||||
\(480\) | 5.38841e10i | 1.01507i | ||||||||
\(481\) | 1.77711e10 | + | 2.41921e10i | 0.331997 | + | 0.451952i | ||||
\(482\) | 5.71208e9 | 0.105829 | ||||||||
\(483\) | 1.38905e11 | + | 3.72194e10i | 2.55228 | + | 0.683881i | ||||
\(484\) | −1.16473e10 | − | 6.72458e9i | −0.212248 | − | 0.122542i | ||||
\(485\) | 1.56555e10 | + | 9.03871e9i | 0.282944 | + | 0.163358i | ||||
\(486\) | 4.46157e10 | − | 1.19548e10i | 0.799729 | − | 0.214287i | ||||
\(487\) | 4.52429e10 | + | 4.52429e10i | 0.804331 | + | 0.804331i | 0.983769 | − | 0.179438i | \(-0.0574280\pi\) |
−0.179438 | + | 0.983769i | \(0.557428\pi\) | |||||||
\(488\) | 2.35207e10 | − | 4.07390e10i | 0.414735 | − | 0.718342i | ||||
\(489\) | 2.53135e10 | + | 2.53135e10i | 0.442707 | + | 0.442707i | ||||
\(490\) | −1.93297e10 | − | 3.34801e10i | −0.335306 | − | 0.580767i | ||||
\(491\) | 7.98144e10 | 1.37327 | 0.686634 | − | 0.727003i | \(-0.259087\pi\) | ||||
0.686634 | + | 0.727003i | \(0.259087\pi\) | |||||||
\(492\) | 3.11931e10i | 0.532350i | ||||||||
\(493\) | −3.35144e10 | − | 5.80487e10i | −0.567341 | − | 0.982663i | ||||
\(494\) | −4.39430e10 | + | 1.17745e10i | −0.737873 | + | 0.197712i | ||||
\(495\) | −9.75460e9 | + | 9.75460e9i | −0.162476 | + | 0.162476i | ||||
\(496\) | −2.27876e10 | − | 6.10591e9i | −0.376505 | − | 0.100884i | ||||
\(497\) | −6.24354e9 | − | 1.08141e10i | −0.102331 | − | 0.177242i | ||||
\(498\) | −6.29377e9 | + | 2.34887e10i | −0.102328 | + | 0.381893i | ||||
\(499\) | −2.23794e10 | − | 8.35211e10i | −0.360950 | − | 1.34708i | −0.872830 | − | 0.488025i | \(-0.837717\pi\) |
0.511880 | − | 0.859057i | \(-0.328949\pi\) | |||||||
\(500\) | −1.40379e10 | + | 3.76144e9i | −0.224606 | + | 0.0601830i | ||||
\(501\) | −1.02743e11 | − | 2.75298e10i | −1.63080 | − | 0.436971i | ||||
\(502\) | 7.89926e10 | − | 4.56064e10i | 1.24386 | − | 0.718143i | ||||
\(503\) | 2.00227e9 | − | 7.47257e9i | 0.0312788 | − | 0.116734i | −0.948521 | − | 0.316713i | \(-0.897421\pi\) |
0.979800 | + | 0.199979i | \(0.0640874\pi\) | |||||||
\(504\) | −3.20756e10 | − | 3.20756e10i | −0.497110 | − | 0.497110i | ||||
\(505\) | −1.37148e10 | − | 5.11842e10i | −0.210874 | − | 0.786991i | ||||
\(506\) | −2.30747e10 | + | 1.33222e10i | −0.351992 | + | 0.203223i | ||||
\(507\) | −5.60479e10 | −0.848257 | ||||||||
\(508\) | 4.03153e9i | 0.0605361i | ||||||||
\(509\) | −1.02171e11 | + | 5.89885e10i | −1.52215 | + | 0.878812i | −0.522490 | + | 0.852646i | \(0.674997\pi\) |
−0.999658 | + | 0.0261666i | \(0.991670\pi\) | |||||||
\(510\) | −9.71288e10 | + | 9.71288e10i | −1.43571 | + | 1.43571i | ||||
\(511\) | −1.03912e11 | − | 5.99935e10i | −1.52399 | − | 0.879875i | ||||
\(512\) | 5.16839e10 | − | 5.16839e10i | 0.752099 | − | 0.752099i | ||||
\(513\) | 1.65178e10 | + | 6.16452e10i | 0.238497 | + | 0.890081i | ||||
\(514\) | 1.14216e10 | − | 1.97828e10i | 0.163635 | − | 0.283424i | ||||
\(515\) | −4.96023e9 | + | 8.59137e9i | −0.0705136 | + | 0.122133i | ||||
\(516\) | 4.43668e9 | − | 1.65579e10i | 0.0625834 | − | 0.233565i | ||||
\(517\) | − | 2.65091e10i | − | 0.371051i | ||||||
\(518\) | 6.90063e10 | + | 3.02910e10i | 0.958451 | + | 0.420722i | ||||
\(519\) | −1.46556e11 | −2.01992 | ||||||||
\(520\) | −6.85927e10 | − | 1.83794e10i | −0.938133 | − | 0.251372i | ||||
\(521\) | 6.83525e10 | + | 3.94633e10i | 0.927691 | + | 0.535603i | 0.886081 | − | 0.463531i | \(-0.153418\pi\) |
0.0416106 | + | 0.999134i | \(0.486751\pi\) | |||||||
\(522\) | −2.77417e10 | − | 1.60167e10i | −0.373638 | − | 0.215720i | ||||
\(523\) | −7.56472e10 | + | 2.02696e10i | −1.01108 | + | 0.270919i | −0.726081 | − | 0.687609i | \(-0.758660\pi\) |
−0.285000 | + | 0.958527i | \(0.591994\pi\) | |||||||
\(524\) | 2.46514e10 | + | 2.46514e10i | 0.326976 | + | 0.326976i | ||||
\(525\) | 8.89460e10 | − | 1.54059e11i | 1.17082 | − | 2.02791i | ||||
\(526\) | 4.06128e10 | + | 4.06128e10i | 0.530542 | + | 0.530542i | ||||
\(527\) | 2.70597e10 | + | 4.68687e10i | 0.350816 | + | 0.607632i | ||||
\(528\) | 1.73381e10 | 0.223082 | ||||||||
\(529\) | 1.61404e11i | 2.06107i | ||||||||
\(530\) | −7.36679e10 | − | 1.27597e11i | −0.933630 | − | 1.61709i | ||||
\(531\) | −2.78910e9 | + | 7.47337e8i | −0.0350821 | + | 0.00940023i | ||||
\(532\) | 2.90419e10 | − | 2.90419e10i | 0.362558 | − | 0.362558i | ||||
\(533\) | −7.11099e10 | − | 1.90539e10i | −0.881092 | − | 0.236088i | ||||
\(534\) | 3.89528e10 | + | 6.74683e10i | 0.479043 | + | 0.829726i | ||||
\(535\) | 9.30179e9 | − | 3.47148e10i | 0.113541 | − | 0.423740i | ||||
\(536\) | −2.76701e9 | − | 1.03266e10i | −0.0335237 | − | 0.125112i | ||||
\(537\) | −1.75165e11 | + | 4.69352e10i | −2.10644 | + | 0.564419i | ||||
\(538\) | −3.14110e10 | − | 8.41654e9i | −0.374932 | − | 0.100463i | ||||
\(539\) | 9.69444e9 | − | 5.59709e9i | 0.114860 | − | 0.0663143i | ||||
\(540\) | −5.39305e9 | + | 2.01271e10i | −0.0634248 | + | 0.236705i | ||||
\(541\) | 6.29364e10 | + | 6.29364e10i | 0.734704 | + | 0.734704i | 0.971548 | − | 0.236844i | \(-0.0761129\pi\) |
−0.236844 | + | 0.971548i | \(0.576113\pi\) | |||||||
\(542\) | 3.24134e10 | + | 1.20969e11i | 0.375602 | + | 1.40177i | ||||
\(543\) | 1.68885e11 | − | 9.75056e10i | 1.94263 | − | 1.12158i | ||||
\(544\) | −5.38935e10 | −0.615376 | ||||||||
\(545\) | 5.49738e10i | 0.623117i | ||||||||
\(546\) | 5.59039e10 | − | 3.22761e10i | 0.629030 | − | 0.363171i | ||||
\(547\) | 1.84351e9 | − | 1.84351e9i | 0.0205919 | − | 0.0205919i | −0.696736 | − | 0.717328i | \(-0.745365\pi\) |
0.717328 | + | 0.696736i | \(0.245365\pi\) | |||||||
\(548\) | −3.05261e9 | − | 1.76242e9i | −0.0338492 | − | 0.0195429i | ||||
\(549\) | −2.60966e10 | + | 2.60966e10i | −0.287273 | + | 0.287273i | ||||
\(550\) | 8.53070e9 | + | 3.18370e10i | 0.0932253 | + | 0.347922i | ||||
\(551\) | 6.93312e10 | − | 1.20085e11i | 0.752181 | − | 1.30282i | ||||
\(552\) | 1.08989e11 | − | 1.88774e11i | 1.17388 | − | 2.03323i | ||||
\(553\) | 1.79616e10 | − | 6.70337e10i | 0.192064 | − | 0.716791i | ||||
\(554\) | − | 2.96942e10i | − | 0.315234i | ||||||
\(555\) | 2.05762e10 | + | 1.86364e11i | 0.216867 | + | 1.96422i | ||||
\(556\) | 6.50990e9 | 0.0681201 | ||||||||
\(557\) | −1.64131e11 | − | 4.39789e10i | −1.70518 | − | 0.456902i | −0.730947 | − | 0.682435i | \(-0.760921\pi\) |
−0.974236 | + | 0.225532i | \(0.927588\pi\) | |||||||
\(558\) | 2.23988e10 | + | 1.29319e10i | 0.231040 | + | 0.133391i | ||||
\(559\) | 3.50365e10 | + | 2.02284e10i | 0.358818 | + | 0.207164i | ||||
\(560\) | −1.23234e11 | + | 3.30205e10i | −1.25308 | + | 0.335762i | ||||
\(561\) | −2.81245e10 | − | 2.81245e10i | −0.283944 | − | 0.283944i | ||||
\(562\) | 2.31387e10 | − | 4.00773e10i | 0.231949 | − | 0.401748i | ||||
\(563\) | 8.50290e10 | + | 8.50290e10i | 0.846318 | + | 0.846318i | 0.989672 | − | 0.143353i | \(-0.0457885\pi\) |
−0.143353 | + | 0.989672i | \(0.545789\pi\) | |||||||
\(564\) | 2.26812e10 | + | 3.92850e10i | 0.224156 | + | 0.388249i | ||||
\(565\) | −4.80089e10 | −0.471116 | ||||||||
\(566\) | 1.52866e10i | 0.148952i | ||||||||
\(567\) | −7.87796e10 | − | 1.36450e11i | −0.762222 | − | 1.32021i | ||||
\(568\) | −1.82828e10 | + | 4.89887e9i | −0.175651 | + | 0.0470655i | ||||
\(569\) | 7.54606e10 | − | 7.54606e10i | 0.719898 | − | 0.719898i | −0.248686 | − | 0.968584i | \(-0.579999\pi\) |
0.968584 | + | 0.248686i | \(0.0799988\pi\) | |||||||
\(570\) | −2.74476e11 | − | 7.35455e10i | −2.60019 | − | 0.696718i | ||||
\(571\) | 1.83891e10 | + | 3.18508e10i | 0.172988 | + | 0.299624i | 0.939463 | − | 0.342650i | \(-0.111325\pi\) |
−0.766475 | + | 0.642274i | \(0.777991\pi\) | |||||||
\(572\) | 1.11317e9 | − | 4.15440e9i | 0.0103986 | − | 0.0388083i | ||||
\(573\) | 4.49451e10 | + | 1.67737e11i | 0.416930 | + | 1.55601i | ||||
\(574\) | −1.78527e11 | + | 4.78361e10i | −1.64458 | + | 0.440665i | ||||
\(575\) | 2.86433e11 | + | 7.67494e10i | 2.62030 | + | 0.702108i | ||||
\(576\) | −5.60048e10 | + | 3.23344e10i | −0.508786 | + | 0.293748i | ||||
\(577\) | 4.59526e10 | − | 1.71498e11i | 0.414579 | − | 1.54723i | −0.371099 | − | 0.928593i | \(-0.621019\pi\) |
0.785678 | − | 0.618636i | \(-0.212314\pi\) | |||||||
\(578\) | −2.94610e10 | − | 2.94610e10i | −0.263959 | − | 0.263959i | ||||
\(579\) | −1.91144e10 | − | 7.13359e10i | −0.170077 | − | 0.634737i | ||||
\(580\) | 3.92077e10 | − | 2.26366e10i | 0.346465 | − | 0.200032i | ||||
\(581\) | 5.18128e10 | 0.454708 | ||||||||
\(582\) | 2.49088e10i | 0.217100i | ||||||||
\(583\) | 3.69466e10 | − | 2.13312e10i | 0.319816 | − | 0.184646i | ||||
\(584\) | −1.28605e11 | + | 1.28605e11i | −1.10562 | + | 1.10562i | ||||
\(585\) | 4.82486e10 | + | 2.78563e10i | 0.411966 | + | 0.237848i | ||||
\(586\) | 8.56945e10 | − | 8.56945e10i | 0.726712 | − | 0.726712i | ||||
\(587\) | 4.13572e10 | + | 1.54347e11i | 0.348336 | + | 1.30001i | 0.888666 | + | 0.458555i | \(0.151633\pi\) |
−0.540330 | + | 0.841453i | \(0.681701\pi\) | |||||||
\(588\) | −9.57773e9 | + | 1.65891e10i | −0.0801223 | + | 0.138776i | ||||
\(589\) | −5.59783e10 | + | 9.69572e10i | −0.465113 | + | 0.805599i | ||||
\(590\) | −2.93721e9 | + | 1.09618e10i | −0.0242396 | + | 0.0904636i | ||||
\(591\) | − | 1.26795e11i | − | 1.03933i | ||||||
\(592\) | 5.11111e10 | − | 6.37981e10i | 0.416129 | − | 0.519422i | ||||
\(593\) | −4.57916e10 | −0.370312 | −0.185156 | − | 0.982709i | \(-0.559279\pi\) | ||||
−0.185156 | + | 0.982709i | \(0.559279\pi\) | |||||||
\(594\) | 1.62068e10 | + | 4.34260e9i | 0.130182 | + | 0.0348822i | ||||
\(595\) | 2.53464e11 | + | 1.46337e11i | 2.02231 | + | 1.16758i | ||||
\(596\) | −3.86030e10 | − | 2.22875e10i | −0.305940 | − | 0.176634i | ||||
\(597\) | 1.55786e11 | − | 4.17427e10i | 1.22640 | − | 0.328612i | ||||
\(598\) | 7.60885e10 | + | 7.60885e10i | 0.594996 | + | 0.594996i | ||||
\(599\) | 1.93212e9 | − | 3.34653e9i | 0.0150081 | − | 0.0259949i | −0.858424 | − | 0.512941i | \(-0.828556\pi\) |
0.873432 | + | 0.486946i | \(0.161889\pi\) | |||||||
\(600\) | −1.90669e11 | − | 1.90669e11i | −1.47121 | − | 1.47121i | ||||
\(601\) | 3.09640e10 | + | 5.36312e10i | 0.237334 | + | 0.411074i | 0.959948 | − | 0.280177i | \(-0.0903932\pi\) |
−0.722615 | + | 0.691251i | \(0.757060\pi\) | |||||||
\(602\) | 1.01570e11 | 0.773353 | ||||||||
\(603\) | 8.38752e9i | 0.0634402i | ||||||||
\(604\) | 1.54339e10 | + | 2.67324e10i | 0.115966 | + | 0.200858i | ||||
\(605\) | 1.91506e11 | − | 5.13138e10i | 1.42942 | − | 0.383013i | ||||
\(606\) | 5.16289e10 | − | 5.16289e10i | 0.382827 | − | 0.382827i | ||||
\(607\) | 2.09330e11 | + | 5.60899e10i | 1.54198 | + | 0.413171i | 0.926903 | − | 0.375300i | \(-0.122460\pi\) |
0.615072 | + | 0.788471i | \(0.289127\pi\) | |||||||
\(608\) | −5.57447e10 | − | 9.65526e10i | −0.407933 | − | 0.706561i | ||||
\(609\) | −5.09238e10 | + | 1.90050e11i | −0.370213 | + | 1.38165i | ||||
\(610\) | 3.75416e10 | + | 1.40107e11i | 0.271140 | + | 1.01191i | ||||
\(611\) | −1.03411e11 | + | 2.77090e10i | −0.741999 | + | 0.198818i | ||||
\(612\) | 2.28058e10 | + | 6.11078e9i | 0.162569 | + | 0.0435603i | ||||
\(613\) | 2.94222e10 | − | 1.69869e10i | 0.208369 | − | 0.120302i | −0.392184 | − | 0.919887i | \(-0.628280\pi\) |
0.600553 | + | 0.799585i | \(0.294947\pi\) | |||||||
\(614\) | −8.56507e9 | + | 3.19653e10i | −0.0602639 | + | 0.224908i | ||||
\(615\) | −3.25152e11 | − | 3.25152e11i | −2.27293 | − | 2.27293i | ||||
\(616\) | −1.33610e10 | − | 4.98640e10i | −0.0927933 | − | 0.346309i | ||||
\(617\) | −2.02098e10 | + | 1.16681e10i | −0.139451 | + | 0.0805120i | −0.568102 | − | 0.822958i | \(-0.692322\pi\) |
0.428651 | + | 0.903470i | \(0.358989\pi\) | |||||||
\(618\) | −1.36693e10 | −0.0937117 | ||||||||
\(619\) | 2.71720e11i | 1.85080i | 0.378994 | + | 0.925399i | \(0.376270\pi\) | ||||
−0.378994 | + | 0.925399i | \(0.623730\pi\) | |||||||
\(620\) | −3.16565e10 | + | 1.82769e10i | −0.214238 | + | 0.123690i | ||||
\(621\) | 1.06740e11 | − | 1.06740e11i | 0.717732 | − | 0.717732i | ||||
\(622\) | 1.51337e11 | + | 8.73744e10i | 1.01107 | + | 0.583744i | ||||
\(623\) | 1.17375e11 | − | 1.17375e11i | 0.779156 | − | 0.779156i | ||||
\(624\) | −1.81228e10 | − | 6.76354e10i | −0.119533 | − | 0.446103i | ||||
\(625\) | −1.11736e10 | + | 1.93532e10i | −0.0732272 | + | 0.126833i | ||||
\(626\) | 7.80410e10 | − | 1.35171e11i | 0.508189 | − | 0.880209i | ||||
\(627\) | 2.12957e10 | − | 7.94768e10i | 0.137792 | − | 0.514245i | ||||
\(628\) | − | 2.43650e10i | − | 0.156649i | ||||||
\(629\) | −1.86397e11 | + | 2.05798e10i | −1.19079 | + | 0.131474i | ||||
\(630\) | 1.39871e11 | 0.887901 | ||||||||
\(631\) | 8.99677e10 | + | 2.41068e10i | 0.567504 | + | 0.152062i | 0.531152 | − | 0.847277i | \(-0.321759\pi\) |
0.0363525 | + | 0.999339i | \(0.488426\pi\) | |||||||
\(632\) | −9.11001e10 | − | 5.25967e10i | −0.571019 | − | 0.329678i | ||||
\(633\) | −2.18562e10 | − | 1.26187e10i | −0.136132 | − | 0.0785956i | ||||
\(634\) | −9.45880e10 | + | 2.53448e10i | −0.585435 | + | 0.156867i | ||||
\(635\) | −4.20240e10 | − | 4.20240e10i | −0.258466 | − | 0.258466i | ||||
\(636\) | −3.65019e10 | + | 6.32231e10i | −0.223093 | + | 0.386409i | ||||
\(637\) | −3.19673e10 | − | 3.19673e10i | −0.194155 | − | 0.194155i | ||||
\(638\) | −1.82275e10 | − | 3.15709e10i | −0.110013 | − | 0.190548i | ||||
\(639\) | 1.48498e10 | 0.0890668 | ||||||||
\(640\) | 1.16535e11i | 0.694603i | ||||||||
\(641\) | 3.68801e10 | + | 6.38783e10i | 0.218454 | + | 0.378374i | 0.954336 | − | 0.298737i | \(-0.0965652\pi\) |
−0.735881 | + | 0.677110i | \(0.763232\pi\) | |||||||
\(642\) | 4.78333e10 | − | 1.28169e10i | 0.281572 | − | 0.0754471i | ||||
\(643\) | −2.93988e10 | + | 2.93988e10i | −0.171983 | + | 0.171983i | −0.787850 | − | 0.615867i | \(-0.788806\pi\) |
0.615867 | + | 0.787850i | \(0.288806\pi\) | |||||||
\(644\) | −9.38365e10 | − | 2.51434e10i | −0.545542 | − | 0.146178i | ||||
\(645\) | 1.26350e11 | + | 2.18845e11i | 0.730023 | + | 1.26444i | ||||
\(646\) | 7.35583e10 | − | 2.74523e11i | 0.422378 | − | 1.57634i | ||||
\(647\) | 3.11300e10 | + | 1.16179e11i | 0.177649 | + | 0.662993i | 0.996085 | + | 0.0883968i | \(0.0281743\pi\) |
−0.818437 | + | 0.574597i | \(0.805159\pi\) | |||||||
\(648\) | −2.30689e11 | + | 6.18128e10i | −1.30836 | + | 0.350573i | ||||
\(649\) | −3.17408e9 | − | 8.50493e8i | −0.0178912 | − | 0.00479393i | ||||
\(650\) | 1.15278e11 | − | 6.65560e10i | 0.645795 | − | 0.372850i | ||||
\(651\) | 4.11161e10 | − | 1.53447e11i | 0.228922 | − | 0.854348i | ||||
\(652\) | −1.71004e10 | − | 1.71004e10i | −0.0946273 | − | 0.0946273i | ||||
\(653\) | 4.43154e10 | + | 1.65387e11i | 0.243726 | + | 0.909597i | 0.974020 | + | 0.226464i | \(0.0727166\pi\) |
−0.730294 | + | 0.683133i | \(0.760617\pi\) | |||||||
\(654\) | −6.55998e10 | + | 3.78741e10i | −0.358585 | + | 0.207029i | ||||
\(655\) | −5.13925e11 | −2.79212 | ||||||||
\(656\) | 2.00483e11i | 1.08259i | ||||||||
\(657\) | 1.23573e11 | − | 7.13449e10i | 0.663227 | − | 0.382914i | ||||
\(658\) | −1.90056e11 | + | 1.90056e11i | −1.01386 | + | 1.01386i | ||||
\(659\) | −1.99904e11 | − | 1.15415e11i | −1.05994 | − | 0.611956i | −0.134523 | − | 0.990910i | \(-0.542950\pi\) |
−0.925415 | + | 0.378955i | \(0.876284\pi\) | |||||||
\(660\) | 1.89961e10 | − | 1.89961e10i | 0.100112 | − | 0.100112i | ||||
\(661\) | −8.21349e10 | − | 3.06531e11i | −0.430251 | − | 1.60572i | −0.752183 | − | 0.658955i | \(-0.770999\pi\) |
0.321932 | − | 0.946763i | \(-0.395668\pi\) | |||||||
\(662\) | 8.05560e10 | − | 1.39527e11i | 0.419436 | − | 0.726485i | ||||
\(663\) | −8.03153e10 | + | 1.39110e11i | −0.415666 | + | 0.719954i | ||||
\(664\) | 2.03270e10 | − | 7.58612e10i | 0.104568 | − | 0.390254i | ||||
\(665\) | 6.05456e11i | 3.09596i | ||||||||
\(666\) | −7.22278e10 | + | 5.30574e10i | −0.367119 | + | 0.269680i | ||||
\(667\) | −3.27980e11 | −1.65708 | ||||||||
\(668\) | 6.94074e10 | + | 1.85977e10i | 0.348578 | + | 0.0934012i | ||||
\(669\) | −7.67964e10 | − | 4.43384e10i | −0.383386 | − | 0.221348i | ||||
\(670\) | 2.85484e10 | + | 1.64824e10i | 0.141672 | + | 0.0817941i | ||||
\(671\) | −4.05692e10 | + | 1.08705e10i | −0.200127 | + | 0.0536240i | ||||
\(672\) | 1.11862e11 | + | 1.11862e11i | 0.548538 | + | 0.548538i | ||||
\(673\) | 1.31767e11 | − | 2.28227e11i | 0.642313 | − | 1.11252i | −0.342603 | − | 0.939480i | \(-0.611308\pi\) |
0.984915 | − | 0.173038i | \(-0.0553582\pi\) | |||||||
\(674\) | −3.37977e10 | − | 3.37977e10i | −0.163775 | − | 0.163775i | ||||
\(675\) | −9.33678e10 | − | 1.61718e11i | −0.449761 | − | 0.779010i | ||||
\(676\) | 3.78629e10 | 0.181312 | ||||||||
\(677\) | − | 8.92656e10i | − | 0.424942i | −0.977167 | − | 0.212471i | \(-0.931849\pi\) | ||
0.977167 | − | 0.212471i | \(-0.0681511\pi\) | |||||||
\(678\) | −3.30756e10 | − | 5.72886e10i | −0.156527 | − | 0.271112i | ||||
\(679\) | 5.12647e10 | − | 1.37363e10i | 0.241179 | − | 0.0646237i | ||||
\(680\) | 3.13696e11 | − | 3.13696e11i | 1.46715 | − | 1.46715i | ||||
\(681\) | 2.59242e10 | + | 6.94636e9i | 0.120536 | + | 0.0322975i | ||||
\(682\) | 1.47169e10 | + | 2.54905e10i | 0.0680268 | + | 0.117826i | ||||
\(683\) | −4.78190e10 | + | 1.78463e11i | −0.219744 | + | 0.820096i | 0.764698 | + | 0.644389i | \(0.222888\pi\) |
−0.984442 | + | 0.175708i | \(0.943779\pi\) | |||||||
\(684\) | 1.26414e10 | + | 4.71782e10i | 0.0577523 | + | 0.215535i | ||||
\(685\) | 5.01912e10 | − | 1.34487e10i | 0.227963 | − | 0.0610826i | ||||
\(686\) | 1.14278e11 | + | 3.06206e10i | 0.516018 | + | 0.138267i | ||||
\(687\) | 3.05009e11 | − | 1.76097e11i | 1.36926 | − | 0.790542i | ||||
\(688\) | 2.85153e10 | − | 1.06421e11i | 0.127270 | − | 0.474977i | ||||
\(689\) | −1.21831e11 | − | 1.21831e11i | −0.540607 | − | 0.540607i | ||||
\(690\) | 1.73958e11 | + | 6.49221e11i | 0.767447 | + | 2.86415i | ||||
\(691\) | −4.71683e10 | + | 2.72326e10i | −0.206889 | + | 0.119448i | −0.599865 | − | 0.800101i | \(-0.704779\pi\) |
0.392976 | + | 0.919549i | \(0.371446\pi\) | |||||||
\(692\) | 9.90054e10 | 0.431752 | ||||||||
\(693\) | 4.05007e10i | 0.175602i | ||||||||
\(694\) | −3.01723e11 | + | 1.74200e11i | −1.30068 | + | 0.750949i | ||||
\(695\) | −6.78582e10 | + | 6.78582e10i | −0.290846 | + | 0.290846i | ||||
\(696\) | 2.58282e11 | + | 1.49119e11i | 1.10067 | + | 0.635472i | ||||
\(697\) | 3.25208e11 | − | 3.25208e11i | 1.37794 | − | 1.37794i | ||||
\(698\) | −1.97507e9 | − | 7.37106e9i | −0.00832072 | − | 0.0310533i | ||||
\(699\) | 2.23066e11 | − | 3.86363e11i | 0.934385 | − | 1.61840i | ||||
\(700\) | −6.00871e10 | + | 1.04074e11i | −0.250259 | + | 0.433461i | ||||
\(701\) | −4.36991e10 | + | 1.63087e11i | −0.180968 | + | 0.675380i | 0.814490 | + | 0.580177i | \(0.197017\pi\) |
−0.995458 | + | 0.0952029i | \(0.969650\pi\) | |||||||
\(702\) | − | 6.77614e10i | − | 0.279019i | ||||||
\(703\) | −2.29669e11 | − | 3.12651e11i | −0.940331 | − | 1.28009i | ||||
\(704\) | −7.35950e10 | −0.299611 | ||||||||
\(705\) | −6.45926e11 | − | 1.73075e11i | −2.61473 | − | 0.700614i | ||||
\(706\) | −2.02879e11 | − | 1.17132e11i | −0.816618 | − | 0.471475i | ||||
\(707\) | −1.34729e11 | − | 7.77858e10i | −0.539241 | − | 0.311331i | ||||
\(708\) | 5.43149e9 | − | 1.45536e9i | 0.0216165 | − | 0.00579213i | ||||
\(709\) | −2.41632e11 | − | 2.41632e11i | −0.956247 | − | 0.956247i | 0.0428355 | − | 0.999082i | \(-0.486361\pi\) |
−0.999082 | + | 0.0428355i | \(0.986361\pi\) | |||||||
\(710\) | 2.91815e10 | − | 5.05438e10i | 0.114835 | − | 0.198900i | ||||
\(711\) | 5.83570e10 | + | 5.83570e10i | 0.228357 | + | 0.228357i | ||||
\(712\) | −1.25806e11 | − | 2.17902e11i | −0.489531 | − | 0.847893i | ||||
\(713\) | 2.64812e11 | 1.02466 | ||||||||
\(714\) | 4.03275e11i | 1.55170i | ||||||||
\(715\) | 3.17013e10 | + | 5.49083e10i | 0.121298 | + | 0.210094i | ||||
\(716\) | 1.18332e11 | − | 3.17069e10i | 0.450246 | − | 0.120643i | ||||
\(717\) | −2.02205e11 | + | 2.02205e11i | −0.765096 | + | 0.765096i | ||||
\(718\) | 3.51735e11 | + | 9.42471e10i | 1.32348 | + | 0.354626i | ||||
\(719\) | −6.33756e10 | − | 1.09770e11i | −0.237141 | − | 0.410740i | 0.722752 | − | 0.691108i | \(-0.242877\pi\) |
−0.959893 | + | 0.280368i | \(0.909544\pi\) | |||||||
\(720\) | 3.92683e10 | − | 1.46551e11i | 0.146121 | − | 0.545330i | ||||
\(721\) | 7.53817e9 | + | 2.81328e10i | 0.0278949 | + | 0.104105i | ||||
\(722\) | 3.42800e11 | − | 9.18530e10i | 1.26151 | − | 0.338022i | ||||
\(723\) | 4.03012e10 | + | 1.07987e10i | 0.147491 | + | 0.0395201i | ||||
\(724\) | −1.14089e11 | + | 6.58696e10i | −0.415232 | + | 0.239735i | ||||
\(725\) | −1.05009e11 | + | 3.91899e11i | −0.380080 | + | 1.41848i | ||||
\(726\) | 1.93170e11 | + | 1.93170e11i | 0.695333 | + | 0.695333i | ||||
\(727\) | 1.13343e11 | + | 4.23000e11i | 0.405747 | + | 1.51427i | 0.802674 | + | 0.596418i | \(0.203410\pi\) |
−0.396927 | + | 0.917850i | \(0.629923\pi\) | |||||||
\(728\) | −1.80552e11 | + | 1.04242e11i | −0.642803 | + | 0.371122i | ||||
\(729\) | −1.53789e10 | −0.0544523 | ||||||||
\(730\) | − | 5.60803e11i | − | 1.97478i | ||||||
\(731\) | −2.18883e11 | + | 1.26372e11i | −0.766552 | + | 0.442569i | ||||
\(732\) | 5.08205e10 | − | 5.08205e10i | 0.177009 | − | 0.177009i | ||||
\(733\) | −1.11316e11 | − | 6.42686e10i | −0.385606 | − | 0.222630i | 0.294649 | − | 0.955606i | \(-0.404797\pi\) |
−0.680254 | + | 0.732976i | \(0.738131\pi\) | |||||||
\(734\) | −1.84092e11 | + | 1.84092e11i | −0.634235 | + | 0.634235i | ||||
\(735\) | −7.30856e10 | − | 2.72759e11i | −0.250428 | − | 0.934610i | ||||
\(736\) | −1.31853e11 | + | 2.28377e11i | −0.449346 | + | 0.778289i | ||||
\(737\) | −4.77263e9 | + | 8.26644e9i | −0.0161766 | + | 0.0280187i | ||||
\(738\) | 5.68871e10 | − | 2.12306e11i | 0.191773 | − | 0.715708i | ||||
\(739\) | 3.23845e11i | 1.08582i | 0.839790 | + | 0.542912i | \(0.182678\pi\) | ||||
−0.839790 | + | 0.542912i | \(0.817322\pi\) | |||||||
\(740\) | −1.39002e10 | − | 1.25898e11i | −0.0463547 | − | 0.419847i | ||||
\(741\) | −3.32296e11 | −1.10218 | ||||||||
\(742\) | −4.17821e11 | − | 1.11955e11i | −1.37840 | − | 0.369341i | ||||
\(743\) | 5.17840e10 | + | 2.98975e10i | 0.169918 | + | 0.0981023i | 0.582547 | − | 0.812797i | \(-0.302056\pi\) |
−0.412629 | + | 0.910899i | \(0.635389\pi\) | |||||||
\(744\) | −2.08538e11 | − | 1.20399e11i | −0.680602 | − | 0.392945i | ||||
\(745\) | 6.34713e11 | − | 1.70071e11i | 2.06040 | − | 0.552084i | ||||
\(746\) | 3.08487e11 | + | 3.08487e11i | 0.996051 | + | 0.996051i | ||||
\(747\) | −3.08081e10 | + | 5.33613e10i | −0.0989426 | + | 0.171374i | ||||
\(748\) | 1.89994e10 | + | 1.89994e10i | 0.0606922 | + | 0.0606922i | ||||
\(749\) | −5.27568e10 | − | 9.13775e10i | −0.167630 | − | 0.290343i | ||||
\(750\) | 2.95200e11 | 0.932978 | ||||||||
\(751\) | − | 1.70767e11i | − | 0.536839i | −0.963302 | − | 0.268420i | \(-0.913499\pi\) | ||
0.963302 | − | 0.268420i | \(-0.0865014\pi\) | |||||||
\(752\) | 1.45776e11 | + | 2.52492e11i | 0.455843 | + | 0.789543i | ||||
\(753\) | 6.43546e11 | − | 1.72438e11i | 2.00170 | − | 0.536355i | ||||
\(754\) | −1.04105e11 | + | 1.04105e11i | −0.322096 | + | 0.322096i | ||||
\(755\) | −4.39535e11 | − | 1.17773e11i | −1.35271 | − | 0.362459i | ||||
\(756\) | 3.05877e10 | + | 5.29794e10i | 0.0936395 | + | 0.162188i | ||||
\(757\) | −2.03120e10 | + | 7.58053e10i | −0.0618541 | + | 0.230843i | −0.989932 | − | 0.141543i | \(-0.954794\pi\) |
0.928078 | + | 0.372386i | \(0.121460\pi\) | |||||||
\(758\) | −1.21224e11 | − | 4.52415e11i | −0.367209 | − | 1.37044i | ||||
\(759\) | −1.87987e11 | + | 5.03711e10i | −0.566450 | + | 0.151780i | ||||
\(760\) | 8.86472e11 | + | 2.37530e11i | 2.65712 | + | 0.711972i | ||||
\(761\) | −3.61710e11 | + | 2.08834e11i | −1.07851 | + | 0.622676i | −0.930493 | − | 0.366310i | \(-0.880621\pi\) |
−0.148013 | + | 0.988985i | \(0.547288\pi\) | |||||||
\(762\) | 2.11946e10 | − | 7.90993e10i | 0.0628644 | − | 0.234613i | ||||
\(763\) | 1.14125e11 | + | 1.14125e11i | 0.336729 | + | 0.336729i | ||||
\(764\) | −3.03625e10 | − | 1.13314e11i | −0.0891177 | − | 0.332592i | ||||
\(765\) | −3.01422e11 | + | 1.74026e11i | −0.880093 | + | 0.508122i | ||||
\(766\) | 2.00398e11 | 0.582073 | ||||||||
\(767\) | 1.32710e10i | 0.0383462i | ||||||||
\(768\) | 2.73294e11 | − | 1.57786e11i | 0.785570 | − | 0.453549i | ||||
\(769\) | −1.25635e11 | + | 1.25635e11i | −0.359256 | + | 0.359256i | −0.863539 | − | 0.504283i | \(-0.831757\pi\) |
0.504283 | + | 0.863539i | \(0.331757\pi\) | |||||||
\(770\) | 1.37851e11 | + | 7.95885e10i | 0.392146 | + | 0.226406i | ||||
\(771\) | 1.17984e11 | − | 1.17984e11i | 0.333892 | − | 0.333892i | ||||
\(772\) | 1.29127e10 | + | 4.81907e10i | 0.0363535 | + | 0.135673i | ||||
\(773\) | 6.54220e10 | − | 1.13314e11i | 0.183234 | − | 0.317370i | −0.759746 | − | 0.650220i | \(-0.774677\pi\) |
0.942980 | + | 0.332850i | \(0.108010\pi\) | |||||||
\(774\) | −6.03937e10 | + | 1.04605e11i | −0.168278 | + | 0.291466i | ||||
\(775\) | 8.47847e10 | − | 3.16421e11i | 0.235023 | − | 0.877119i | ||||
\(776\) | − | 8.04477e10i | − | 0.221854i | ||||||
\(777\) | 4.29604e11 | + | 3.44173e11i | 1.17865 | + | 0.944262i | ||||
\(778\) | −9.53649e10 | −0.260298 | ||||||||
\(779\) | 9.19004e11 | + | 2.46246e11i | 2.49556 | + | 0.668683i | ||||
\(780\) | −9.39591e10 | − | 5.42473e10i | −0.253840 | − | 0.146555i | ||||
\(781\) | 1.46354e10 | + | 8.44973e9i | 0.0393368 | + | 0.0227111i | ||||
\(782\) | −6.49334e11 | + | 1.73988e11i | −1.73636 | + | 0.465257i | ||||
\(783\) | 1.46043e11 | + | 1.46043e11i | 0.388538 | + | 0.388538i | ||||
\(784\) | −6.15578e10 | + | 1.06621e11i | −0.162937 | + | 0.282214i | ||||
\(785\) | 2.53977e11 | + | 2.53977e11i | 0.668829 | + | 0.668829i | ||||
\(786\) | −3.54067e11 | − | 6.13262e11i | −0.927674 | − | 1.60678i | ||||
\(787\) | −6.55704e11 | −1.70926 | −0.854632 | − | 0.519234i | \(-0.826217\pi\) | ||||
−0.854632 | + | 0.519234i | \(0.826217\pi\) | |||||||
\(788\) | 8.56560e10i | 0.222153i | ||||||||
\(789\) | 2.09762e11 | + | 3.63319e11i | 0.541277 | + | 0.937519i | ||||
\(790\) | 3.13306e11 | − | 8.39501e10i | 0.804379 | − | 0.215533i | ||||
\(791\) | −9.96655e10 | + | 9.96655e10i | −0.254589 | + | 0.254589i | ||||
\(792\) | 5.92987e10 | + | 1.58890e10i | 0.150711 | + | 0.0403829i | ||||
\(793\) | 8.48110e10 | + | 1.46897e11i | 0.214466 | + | 0.371467i | ||||
\(794\) | 1.02472e11 | − | 3.82429e11i | 0.257823 | − | 0.962207i | ||||
\(795\) | −2.78538e11 | − | 1.03952e12i | −0.697294 | − | 2.60234i | ||||
\(796\) | −1.05241e11 | + | 2.81991e10i | −0.262139 | + | 0.0702398i | ||||
\(797\) | 1.04486e11 | + | 2.79968e10i | 0.258954 | + | 0.0693866i | 0.385960 | − | 0.922515i | \(-0.373870\pi\) |
−0.127006 | + | 0.991902i | \(0.540537\pi\) | |||||||
\(798\) | −7.22485e11 | + | 4.17127e11i | −1.78163 | + | 1.02862i | ||||
\(799\) | 1.73105e11 | − | 6.46038e11i | 0.424741 | − | 1.58515i | ||||
\(800\) | 2.30670e11 | + | 2.30670e11i | 0.563158 | + | 0.563158i | ||||
\(801\) | 5.10912e10 | + | 1.90675e11i | 0.124113 | + | 0.463195i | ||||
\(802\) | −4.50239e11 | + | 2.59945e11i | −1.08829 | + | 0.628326i | ||||
\(803\) | 1.62385e11 | 0.390557 | ||||||||
\(804\) | − | 1.63338e10i | − | 0.0390899i | ||||||
\(805\) | 1.24023e12 | − | 7.16046e11i | 2.95337 | − | 1.70513i | ||||
\(806\) | 8.40546e10 | − | 8.40546e10i | 0.199169 | − | 0.199169i | ||||
\(807\) | −2.05707e11 | − | 1.18765e11i | −0.485014 | − | 0.280023i | ||||
\(808\) | −1.66745e11 | + | 1.66745e11i | −0.391209 | + | 0.391209i | ||||
\(809\) | 9.50026e10 | + | 3.54554e11i | 0.221790 | + | 0.827730i | 0.983665 | + | 0.180007i | \(0.0576120\pi\) |
−0.761876 | + | 0.647723i | \(0.775721\pi\) | |||||||
\(810\) | 3.68205e11 | − | 6.37750e11i | 0.855361 | − | 1.48153i | ||||
\(811\) | 9.17788e10 | − | 1.58965e11i | 0.212158 | − | 0.367468i | −0.740232 | − | 0.672352i | \(-0.765284\pi\) |
0.952390 | + | 0.304884i | \(0.0986176\pi\) | |||||||
\(812\) | 3.44014e10 | − | 1.28388e11i | 0.0791319 | − | 0.295324i | ||||
\(813\) | 9.14764e11i | 2.09386i | ||||||||
\(814\) | −1.01376e11 | + | 1.11927e10i | −0.230906 | + | 0.0254940i | ||||
\(815\) | 3.56504e11 | 0.808043 | ||||||||
\(816\) | 4.22536e11 | + | 1.13218e11i | 0.953023 | + | 0.255362i | ||||
\(817\) | −4.52802e11 | − | 2.61425e11i | −1.01630 | − | 0.586759i | ||||
\(818\) | −4.46003e11 | − | 2.57500e11i | −0.996149 | − | 0.575127i | ||||
\(819\) | 1.57992e11 | − | 4.23339e10i | 0.351156 | − | 0.0940920i | ||||
\(820\) | 2.19655e11 | + | 2.19655e11i | 0.485832 | + | 0.485832i | ||||
\(821\) | 4.12969e11 | − | 7.15283e11i | 0.908959 | − | 1.57436i | 0.0934463 | − | 0.995624i | \(-0.470212\pi\) |
0.815513 | − | 0.578739i | \(-0.196455\pi\) | |||||||
\(822\) | 5.06273e10 | + | 5.06273e10i | 0.110891 | + | 0.110891i | ||||
\(823\) | −6.69883e10 | − | 1.16027e11i | −0.146016 | − | 0.252907i | 0.783736 | − | 0.621094i | \(-0.213312\pi\) |
−0.929751 | + | 0.368188i | \(0.879978\pi\) | |||||||
\(824\) | 4.41478e10 | 0.0957635 | ||||||||
\(825\) | 2.40751e11i | 0.519700i | ||||||||
\(826\) | 1.66589e10 | + | 2.88541e10i | 0.0357871 | + | 0.0619850i | ||||
\(827\) | −1.14695e11 | + | 3.07323e10i | −0.245200 | + | 0.0657012i | −0.379326 | − | 0.925263i | \(-0.623844\pi\) |
0.134126 | + | 0.990964i | \(0.457177\pi\) | |||||||
\(828\) | 8.16904e10 | − | 8.16904e10i | 0.173800 | − | 0.173800i | ||||
\(829\) | 2.43751e11 | + | 6.53128e10i | 0.516093 | + | 0.138287i | 0.507459 | − | 0.861676i | \(-0.330585\pi\) |
0.00863412 | + | 0.999963i | \(0.497252\pi\) | |||||||
\(830\) | 1.21083e11 | + | 2.09722e11i | 0.255135 | + | 0.441908i | ||||
\(831\) | 5.61369e10 | − | 2.09506e11i | 0.117718 | − | 0.439331i | ||||
\(832\) | 7.69261e10 | + | 2.87092e11i | 0.160539 | + | 0.599140i | ||||
\(833\) | 2.72807e11 | − | 7.30983e10i | 0.566598 | − | 0.151819i | ||||
\(834\) | −1.27725e11 | − | 3.42239e10i | −0.264006 | − | 0.0707401i | ||||
\(835\) | −9.17352e11 | + | 5.29633e11i | −1.88708 | + | 1.08951i | ||||
\(836\) | −1.43863e10 | + | 5.36902e10i | −0.0294525 | + | 0.109918i | ||||
\(837\) | −1.17916e11 | − | 1.17916e11i | −0.240253 | − | 0.240253i | ||||
\(838\) | −5.20234e9 | − | 1.94154e10i | −0.0105493 | − | 0.0393704i | ||||
\(839\) | −4.13364e11 | + | 2.38656e11i | −0.834229 | + | 0.481642i | −0.855298 | − | 0.518136i | \(-0.826626\pi\) |
0.0210694 | + | 0.999778i | \(0.493293\pi\) | |||||||
\(840\) | −1.30223e12 | −2.61559 | ||||||||
\(841\) | 5.15024e10i | 0.102954i | ||||||||
\(842\) | 9.54005e10 | − | 5.50795e10i | 0.189803 | − | 0.109583i | ||||
\(843\) | 2.39019e11 | − | 2.39019e11i | 0.473285 | − | 0.473285i | ||||
\(844\) | 1.47648e10 | + | 8.52449e9i | 0.0290977 | + | 0.0167996i | ||||
\(845\) | −3.94678e11 | + | 3.94678e11i | −0.774133 | + | 0.774133i | ||||
\(846\) | −8.27279e10 | − | 3.08745e11i | −0.161499 | − | 0.602723i | ||||
\(847\) | 2.91036e11 | − | 5.04089e11i | 0.565474 | − | 0.979430i | ||||
\(848\) | −2.34604e11 | + | 4.06346e11i | −0.453682 | + | 0.785801i | ||||
\(849\) | −2.88993e10 | + | 1.07854e11i | −0.0556232 | + | 0.207589i | ||||
\(850\) | 8.31587e11i | 1.59306i | ||||||||
\(851\) | −3.68822e11 | + | 8.40217e11i | −0.703232 | + | 1.60204i | ||||
\(852\) | −2.89184e10 | −0.0548802 | ||||||||
\(853\) | 2.09820e11 | + | 5.62211e10i | 0.396325 | + | 0.106195i | 0.451476 | − | 0.892283i | \(-0.350898\pi\) |
−0.0551516 | + | 0.998478i | \(0.517564\pi\) | |||||||
\(854\) | 3.68796e11 | + | 2.12924e11i | 0.693353 | + | 0.400307i | ||||
\(855\) | −6.23550e11 | − | 3.60007e11i | −1.16683 | − | 0.673669i | ||||
\(856\) | −1.54487e11 | + | 4.13946e10i | −0.287737 | + | 0.0770990i | ||||
\(857\) | −2.87728e11 | − | 2.87728e11i | −0.533407 | − | 0.533407i | 0.388177 | − | 0.921585i | \(-0.373105\pi\) |
−0.921585 | + | 0.388177i | \(0.873105\pi\) | |||||||
\(858\) | −4.36811e10 | + | 7.56579e10i | −0.0806017 | + | 0.139606i | ||||
\(859\) | −2.29525e11 | − | 2.29525e11i | −0.421558 | − | 0.421558i | 0.464182 | − | 0.885740i | \(-0.346348\pi\) |
−0.885740 | + | 0.464182i | \(0.846348\pi\) | |||||||
\(860\) | −8.53553e10 | − | 1.47840e11i | −0.156040 | − | 0.270270i | ||||
\(861\) | −1.35002e12 | −2.45656 | ||||||||
\(862\) | 4.70760e11i | 0.852649i | ||||||||
\(863\) | −3.96991e11 | − | 6.87609e11i | −0.715711 | − | 1.23965i | −0.962685 | − | 0.270626i | \(-0.912769\pi\) |
0.246974 | − | 0.969022i | \(-0.420564\pi\) | |||||||
\(864\) | 1.60403e11 | − | 4.29800e10i | 0.287845 | − | 0.0771279i | ||||
\(865\) | −1.03202e12 | + | 1.03202e12i | −1.84341 | + | 1.84341i | ||||
\(866\) | −3.06669e10 | − | 8.21716e9i | −0.0545253 | − | 0.0146100i | ||||
\(867\) | −1.52164e11 | − | 2.63556e11i | −0.269300 | − | 0.466441i | ||||
\(868\) | −2.77758e10 | + | 1.03661e11i | −0.0489314 | + | 0.182615i | ||||
\(869\) | 2.43085e10 | + | 9.07205e10i | 0.0426264 | + | 0.159084i | ||||
\(870\) | −8.88268e11 | + | 2.38011e11i | −1.55048 | + | 0.415451i | ||||
\(871\) | 3.72358e10 | + | 9.97730e9i | 0.0646976 | + | 0.0173357i | ||||
\(872\) | 2.11867e11 | − | 1.22322e11i | 0.366436 | − | 0.211562i | ||||
\(873\) | −1.63354e10 | + | 6.09645e10i | −0.0281237 | + | 0.104959i | ||||
\(874\) | −9.83345e11 | − | 9.83345e11i | −1.68523 | − | 1.68523i | ||||
\(875\) | −1.62793e11 | − | 6.07551e11i | −0.277717 | − | 1.03646i | ||||
\(876\) | −2.40646e11 | + | 1.38937e11i | −0.408659 | + | 0.235940i | ||||
\(877\) | −4.22325e11 | −0.713918 | −0.356959 | − | 0.934120i | \(-0.616186\pi\) | ||||
−0.356959 | + | 0.934120i | \(0.616186\pi\) | |||||||
\(878\) | − | 6.88546e11i | − | 1.15866i | ||||||
\(879\) | 7.66617e11 | − | 4.42607e11i | 1.28417 | − | 0.741417i | ||||
\(880\) | 1.22091e11 | − | 1.22091e11i | 0.203589 | − | 0.203589i | ||||
\(881\) | 3.17612e11 | + | 1.83373e11i | 0.527222 | + | 0.304392i | 0.739884 | − | 0.672734i | \(-0.234880\pi\) |
−0.212663 | + | 0.977126i | \(0.568214\pi\) | |||||||
\(882\) | 9.54415e10 | − | 9.54415e10i | 0.157711 | − | 0.157711i | ||||
\(883\) | −1.27619e11 | − | 4.76279e11i | −0.209928 | − | 0.783463i | −0.987891 | − | 0.155152i | \(-0.950413\pi\) |
0.777962 | − | 0.628311i | \(-0.216253\pi\) | |||||||
\(884\) | 5.42567e10 | − | 9.39754e10i | 0.0888474 | − | 0.153888i | ||||
\(885\) | −4.14465e10 | + | 7.17875e10i | −0.0675639 | + | 0.117024i | ||||
\(886\) | 3.79985e10 | − | 1.41812e11i | 0.0616640 | − | 0.230133i | ||||
\(887\) | 3.71105e11i | 0.599518i | 0.954015 | + | 0.299759i | \(0.0969063\pi\) | ||||
−0.954015 | + | 0.299759i | \(0.903094\pi\) | |||||||
\(888\) | 6.72457e11 | − | 4.93977e11i | 1.08147 | − | 0.794428i | ||||
\(889\) | −1.74482e11 | −0.279347 | ||||||||
\(890\) | 7.49396e11 | + | 2.00800e11i | 1.19440 | + | 0.320040i | ||||
\(891\) | 1.84666e11 | + | 1.06617e11i | 0.293005 | + | 0.169167i | ||||
\(892\) | 5.18795e10 | + | 2.99526e10i | 0.0819476 | + | 0.0473125i | ||||
\(893\) | 1.33646e12 | − | 3.58103e11i | 2.10160 | − | 0.563121i | ||||
\(894\) | 6.40228e11 | + | 6.40228e11i | 1.00227 | + | 1.00227i | ||||
\(895\) | −9.02965e11 | + | 1.56398e12i | −1.40727 | + | 2.43747i | ||||
\(896\) | 2.41925e11 | + | 2.41925e11i | 0.375360 | + | 0.375360i | ||||
\(897\) | 3.92992e11 | + | 6.80683e11i | 0.607036 | + | 1.05142i | ||||
\(898\) | 4.52805e11 | 0.696316 | ||||||||
\(899\) | 3.62318e11i | 0.554691i | ||||||||
\(900\) | −7.14562e10 | − | 1.23766e11i | −0.108910 | − | 0.188638i | ||||
\(901\) | 1.03970e12 | − | 2.78586e11i | 1.57764 | − | 0.422728i | ||||
\(902\) | 1.76871e11 | − | 1.76871e11i | 0.267196 | − | 0.267196i | ||||
\(903\) | 7.16617e11 | + | 1.92017e11i | 1.07780 | + | 0.288794i | ||||
\(904\) | 1.06824e11 | + | 1.85025e11i | 0.159954 | + | 0.277048i | ||||
\(905\) | 5.02637e11 | − | 1.87587e12i | 0.749307 | − | 2.79645i | ||||
\(906\) | −1.62279e11 | − | 6.05633e11i | −0.240851 | − | 0.898870i | ||||
\(907\) | 1.15953e12 | − | 3.10694e11i | 1.71337 | − | 0.459096i | 0.737124 | − | 0.675757i | \(-0.236183\pi\) |
0.976247 | + | 0.216661i | \(0.0695166\pi\) | |||||||
\(908\) | −1.75130e10 | − | 4.69259e9i | −0.0257642 | − | 0.00690349i | ||||
\(909\) | 1.60221e11 | − | 9.25035e10i | 0.234673 | − | 0.135489i | ||||
\(910\) | 1.66382e11 | − | 6.20945e11i | 0.242628 | − | 0.905499i | ||||
\(911\) | 1.80243e11 | + | 1.80243e11i | 0.261688 | + | 0.261688i | 0.825740 | − | 0.564052i | \(-0.190758\pi\) |
−0.564052 | + | 0.825740i | \(0.690758\pi\) | |||||||
\(912\) | 2.34214e11 | + | 8.74100e11i | 0.338559 | + | 1.26352i | ||||
\(913\) | −6.07268e10 | + | 3.50606e10i | −0.0873971 | + | 0.0504587i | ||||
\(914\) | −1.09767e11 | −0.157285 | ||||||||
\(915\) | 1.05949e12i | 1.51151i | ||||||||
\(916\) | −2.06048e11 | + | 1.18962e11i | −0.292675 | + | 0.168976i | ||||
\(917\) | −1.06690e12 | + | 1.06690e12i | −1.50885 | + | 1.50885i | ||||
\(918\) | 3.66609e11 | + | 2.11662e11i | 0.516217 | + | 0.298038i | ||||
\(919\) | −3.56203e11 | + | 3.56203e11i | −0.499385 | + | 0.499385i | −0.911247 | − | 0.411861i | \(-0.864879\pi\) |
0.411861 | + | 0.911247i | \(0.364879\pi\) | |||||||
\(920\) | −5.61831e11 | − | 2.09678e12i | −0.784250 | − | 2.92686i | ||||
\(921\) | −1.20861e11 | + | 2.09337e11i | −0.167976 | + | 0.290942i | ||||
\(922\) | 4.59280e11 | − | 7.95496e11i | 0.635556 | − | 1.10081i | ||||
\(923\) | 1.76644e10 | − | 6.59244e10i | 0.0243384 | − | 0.0908321i | ||||
\(924\) | − | 7.88710e10i | − | 0.108201i | ||||||
\(925\) | 8.85880e11 | + | 7.09713e11i | 1.21006 | + | 0.969428i | ||||
\(926\) | −2.72675e11 | −0.370853 | ||||||||
\(927\) | −3.34558e10 | − | 8.96447e9i | −0.0453057 | − | 0.0121396i | ||||
\(928\) | −3.12467e11 | − | 1.80403e11i | −0.421320 | − | 0.243249i | ||||
\(929\) | −5.34963e11 | − | 3.08861e11i | −0.718226 | − | 0.414668i | 0.0958736 | − | 0.995394i | \(-0.469436\pi\) |
−0.814099 | + | 0.580726i | \(0.802769\pi\) | |||||||
\(930\) | 7.17191e11 | − | 1.92171e11i | 0.958745 | − | 0.256895i | ||||
\(931\) | 4.13136e11 | + | 4.13136e11i | 0.549914 | + | 0.549914i | ||||
\(932\) | −1.50692e11 | + | 2.61006e11i | −0.199722 | + | 0.345929i | ||||
\(933\) | 9.02566e11 | + | 9.02566e11i | 1.19111 | + | 1.19111i | ||||
\(934\) | −8.40755e10 | − | 1.45623e11i | −0.110480 | − | 0.191356i | ||||
\(935\) | −3.96093e11 | −0.518264 | ||||||||
\(936\) | − | 2.47931e11i | − | 0.323019i | ||||||
\(937\) | 2.40686e10 | + | 4.16880e10i | 0.0312242 | + | 0.0540820i | 0.881215 | − | 0.472715i | \(-0.156726\pi\) |
−0.849991 | + | 0.526797i | \(0.823393\pi\) | |||||||
\(938\) | 9.34832e10 | − | 2.50487e10i | 0.120760 | − | 0.0323575i | ||||
\(939\) | 8.06153e11 | − | 8.06153e11i | 1.03694 | − | 1.03694i | ||||
\(940\) | 4.36353e11 | + | 1.16920e11i | 0.558890 | + | 0.149754i | ||||
\(941\) | 6.00653e11 | + | 1.04036e12i | 0.766065 | + | 1.32686i | 0.939682 | + | 0.342050i | \(0.111121\pi\) |
−0.173617 | + | 0.984813i | \(0.555546\pi\) | |||||||
\(942\) | −1.28092e11 | + | 4.78045e11i | −0.162674 | + | 0.607107i | ||||
\(943\) | −5.82450e11 | − | 2.17373e12i | −0.736566 | − | 2.74890i | ||||
\(944\) | 3.49091e10 | − | 9.35387e9i | 0.0439593 | − | 0.0117789i | ||||
\(945\) | −8.71090e11 | − | 2.33408e11i | −1.09228 | − | 0.292677i | ||||
\(946\) | −1.19044e11 | + | 6.87299e10i | −0.148642 | + | 0.0858185i | ||||
\(947\) | −5.30422e10 | + | 1.97956e11i | −0.0659510 | + | 0.246132i | −0.991029 | − | 0.133644i | \(-0.957332\pi\) |
0.925078 | + | 0.379776i | \(0.123999\pi\) | |||||||
\(948\) | −1.13644e11 | − | 1.13644e11i | −0.140706 | − | 0.140706i | ||||
\(949\) | −1.69735e11 | − | 6.33461e11i | −0.209270 | − | 0.781007i | ||||
\(950\) | −1.48983e12 | + | 8.60151e11i | −1.82911 | + | 1.05604i | ||||
\(951\) | −7.15273e11 | −0.874480 | ||||||||
\(952\) | − | 1.30245e12i | − | 1.58568i | ||||||
\(953\) | −1.31948e11 | + | 7.61802e10i | −0.159967 | + | 0.0923572i | −0.577847 | − | 0.816145i | \(-0.696107\pi\) |
0.417879 | + | 0.908503i | \(0.362773\pi\) | |||||||
\(954\) | 3.63739e11 | − | 3.63739e11i | 0.439133 | − | 0.439133i | ||||
\(955\) | 1.49767e12 | + | 8.64678e11i | 1.80053 | + | 1.03954i | ||||
\(956\) | 1.36599e11 | − | 1.36599e11i | 0.163537 | − | 0.163537i | ||||
\(957\) | −6.89180e10 | − | 2.57206e11i | −0.0821646 | − | 0.306643i | ||||
\(958\) | −3.61707e11 | + | 6.26494e11i | −0.429432 | + | 0.743798i | ||||
\(959\) | 7.62767e10 | − | 1.32115e11i | 0.0901815 | − | 0.156199i | ||||
\(960\) | −4.80495e11 | + | 1.79323e12i | −0.565723 | + | 2.11131i | ||||
\(961\) | 5.60354e11i | 0.657006i | ||||||||
\(962\) | 1.49627e11 | + | 3.83764e11i | 0.174706 | + | 0.448088i | ||||
\(963\) | 1.25478e11 | 0.145902 | ||||||||
\(964\) | −2.72254e10 | − | 7.29501e9i | −0.0315257 | − | 0.00844730i | ||||
\(965\) | −6.36932e11 | − | 3.67733e11i | −0.734487 | − | 0.424056i | ||||
\(966\) | 1.70890e12 | + | 9.86636e11i | 1.96250 | + | 1.13305i | ||||
\(967\) | −8.88815e11 | + | 2.38157e11i | −1.01650 | + | 0.272369i | −0.728341 | − | 0.685215i | \(-0.759708\pi\) |
−0.288154 | + | 0.957584i | \(0.593042\pi\) | |||||||
\(968\) | −6.23879e11 | − | 6.23879e11i | −0.710557 | − | 0.710557i | ||||
\(969\) | 1.03797e12 | − | 1.79782e12i | 1.17731 | − | 2.03916i | ||||
\(970\) | 1.75403e11 | + | 1.75403e11i | 0.198129 | + | 0.198129i | ||||
\(971\) | −3.20008e11 | − | 5.54271e11i | −0.359985 | − | 0.623512i | 0.627973 | − | 0.778235i | \(-0.283885\pi\) |
−0.987958 | + | 0.154723i | \(0.950552\pi\) | |||||||
\(972\) | −2.27918e11 | −0.255337 | ||||||||
\(973\) | 2.81745e11i | 0.314344i | ||||||||
\(974\) | 4.38985e11 | + | 7.60345e11i | 0.487769 | + | 0.844840i | ||||
\(975\) | 9.39164e11 | − | 2.51648e11i | 1.03926 | − | 0.278468i | ||||
\(976\) | 3.26632e11 | − | 3.26632e11i | 0.359964 | − | 0.359964i | ||||
\(977\) | −5.82269e11 | − | 1.56019e11i | −0.639066 | − | 0.171237i | −0.0752856 | − | 0.997162i | \(-0.523987\pi\) |
−0.563780 | + | 0.825925i | \(0.690654\pi\) | |||||||
\(978\) | 2.45613e11 | + | 4.25414e11i | 0.268470 | + | 0.465003i | ||||
\(979\) | −5.81433e10 | + | 2.16994e11i | −0.0632950 | + | 0.236220i | ||||
\(980\) | 4.93727e10 | + | 1.84262e11i | 0.0535282 | + | 0.199770i | ||||
\(981\) | −1.85394e11 | + | 4.96762e10i | −0.200180 | + | 0.0536380i | ||||
\(982\) | 1.05789e12 | + | 2.83460e11i | 1.13761 | + | 0.304822i | ||||
\(983\) | −5.45359e11 | + | 3.14863e11i | −0.584075 | + | 0.337216i | −0.762751 | − | 0.646692i | \(-0.776152\pi\) |
0.178676 | + | 0.983908i | \(0.442818\pi\) | |||||||
\(984\) | −5.29632e11 | + | 1.97661e12i | −0.564929 | + | 2.10834i | ||||
\(985\) | −8.92866e11 | − | 8.92866e11i | −0.948508 | − | 0.948508i | ||||
\(986\) | −2.38052e11 | − | 8.88422e11i | −0.251863 | − | 0.939965i | ||||
\(987\) | −1.70023e12 | + | 9.81629e11i | −1.79159 | + | 1.03438i | ||||
\(988\) | 2.24482e11 | 0.235588 | ||||||||
\(989\) | 1.23670e12i | 1.29265i | ||||||||
\(990\) | −1.63934e11 | + | 9.46474e10i | −0.170659 | + | 0.0985299i | ||||
\(991\) | 3.42397e11 | − | 3.42397e11i | 0.355006 | − | 0.355006i | −0.506962 | − | 0.861968i | \(-0.669232\pi\) |
0.861968 | + | 0.506962i | \(0.169232\pi\) | |||||||
\(992\) | 2.52287e11 | + | 1.45658e11i | 0.260524 | + | 0.150414i | ||||
\(993\) | 8.32133e11 | − | 8.32133e11i | 0.855847 | − | 0.855847i | ||||
\(994\) | −4.43477e10 | − | 1.65508e11i | −0.0454282 | − | 0.169541i | ||||
\(995\) | 8.03069e11 | − | 1.39096e12i | 0.819333 | − | 1.41913i | ||||
\(996\) | 5.99957e10 | − | 1.03916e11i | 0.0609653 | − | 0.105595i | ||||
\(997\) | −1.21117e11 | + | 4.52014e11i | −0.122581 | + | 0.457479i | −0.999742 | − | 0.0227179i | \(-0.992768\pi\) |
0.877161 | + | 0.480197i | \(0.159435\pi\) | |||||||
\(998\) | − | 1.18650e12i | − | 1.19604i | ||||||
\(999\) | 5.38361e11 | − | 2.09903e11i | 0.540520 | − | 0.210745i |
(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 | 37.9.g.a.8.18 | ✓ | 100 | |
37.14 | odd | 12 | inner | 37.9.g.a.14.18 | yes | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.9.g.a.8.18 | ✓ | 100 | 1.1 | even | 1 | trivial | |
37.9.g.a.14.18 | yes | 100 | 37.14 | odd | 12 | inner |