Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,8,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.8706309684\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 38.9 |
Dual form | 38.8.e.a.17.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.38919 | + | 7.87846i | 0.122788 | + | 0.696364i | ||||
\(3\) | −9.71662 | + | 8.15321i | −0.207774 | + | 0.174343i | −0.740736 | − | 0.671796i | \(-0.765523\pi\) |
0.532962 | + | 0.846139i | \(0.321079\pi\) | |||||||
\(4\) | −60.1403 | + | 21.8893i | −0.469846 | + | 0.171010i | ||||
\(5\) | 424.315 | + | 154.438i | 1.51807 | + | 0.552534i | 0.960667 | − | 0.277704i | \(-0.0895736\pi\) |
0.557408 | + | 0.830238i | \(0.311796\pi\) | |||||||
\(6\) | −77.7330 | − | 65.2257i | −0.146918 | − | 0.123279i | ||||
\(7\) | 847.859 | − | 1468.54i | 0.934288 | − | 1.61823i | 0.158388 | − | 0.987377i | \(-0.449370\pi\) |
0.775899 | − | 0.630857i | \(-0.217296\pi\) | |||||||
\(8\) | −256.000 | − | 443.405i | −0.176777 | − | 0.306186i | ||||
\(9\) | −351.831 | + | 1995.33i | −0.160874 | + | 0.912360i | ||||
\(10\) | −627.282 | + | 3557.49i | −0.198364 | + | 1.12498i | ||||
\(11\) | −355.352 | − | 615.488i | −0.0804979 | − | 0.139426i | 0.822966 | − | 0.568091i | \(-0.192318\pi\) |
−0.903464 | + | 0.428664i | \(0.858984\pi\) | |||||||
\(12\) | 405.893 | − | 703.027i | 0.0678074 | − | 0.117446i | ||||
\(13\) | 7814.84 | + | 6557.43i | 0.986548 | + | 0.827812i | 0.985064 | − | 0.172187i | \(-0.0550833\pi\) |
0.00148360 | + | 0.999999i | \(0.499528\pi\) | |||||||
\(14\) | 12747.6 | + | 4639.76i | 1.24160 | + | 0.451905i | ||||
\(15\) | −5382.07 | + | 1958.91i | −0.411747 | + | 0.149864i | ||||
\(16\) | 3137.72 | − | 2632.86i | 0.191511 | − | 0.160697i | ||||
\(17\) | 3787.71 | + | 21481.2i | 0.186984 | + | 1.06044i | 0.923379 | + | 0.383889i | \(0.125416\pi\) |
−0.736395 | + | 0.676552i | \(0.763473\pi\) | |||||||
\(18\) | −16208.9 | −0.655088 | ||||||||
\(19\) | −28741.5 | + | 8233.82i | −0.961330 | + | 0.275400i | ||||
\(20\) | −28899.0 | −0.807751 | ||||||||
\(21\) | 3734.95 | + | 21182.0i | 0.0880071 | + | 0.499113i | ||||
\(22\) | 4355.45 | − | 3654.66i | 0.0872074 | − | 0.0731757i | ||||
\(23\) | 43010.3 | − | 15654.5i | 0.737098 | − | 0.268282i | 0.0539315 | − | 0.998545i | \(-0.482825\pi\) |
0.683166 | + | 0.730263i | \(0.260603\pi\) | |||||||
\(24\) | 6102.63 | + | 2221.18i | 0.0901110 | + | 0.0327977i | ||||
\(25\) | 96344.8 | + | 80842.9i | 1.23321 | + | 1.03479i | ||||
\(26\) | −40806.2 | + | 70678.4i | −0.455323 | + | 0.788642i | ||||
\(27\) | −26719.9 | − | 46280.2i | −0.261253 | − | 0.452503i | ||||
\(28\) | −18845.3 | + | 106877.i | −0.162237 | + | 0.920094i | ||||
\(29\) | 9277.13 | − | 52613.2i | 0.0706351 | − | 0.400592i | −0.928906 | − | 0.370315i | \(-0.879250\pi\) |
0.999542 | − | 0.0302771i | \(-0.00963898\pi\) | |||||||
\(30\) | −22909.9 | − | 39681.2i | −0.154917 | − | 0.268324i | ||||
\(31\) | −32572.1 | + | 56416.5i | −0.196372 | + | 0.340126i | −0.947349 | − | 0.320202i | \(-0.896249\pi\) |
0.750977 | + | 0.660328i | \(0.229583\pi\) | |||||||
\(32\) | 25101.7 | + | 21062.9i | 0.135419 | + | 0.113630i | ||||
\(33\) | 8471.03 | + | 3083.20i | 0.0410334 | + | 0.0149349i | ||||
\(34\) | −163977. | + | 59682.7i | −0.715494 | + | 0.260419i | ||||
\(35\) | 586557. | − | 492180.i | 2.31245 | − | 1.94037i | ||||
\(36\) | −22517.2 | − | 127701.i | −0.0804368 | − | 0.456180i | ||||
\(37\) | −262965. | −0.853479 | −0.426739 | − | 0.904375i | \(-0.640338\pi\) | ||||
−0.426739 | + | 0.904375i | \(0.640338\pi\) | |||||||
\(38\) | −104797. | − | 215001.i | −0.309818 | − | 0.635620i | ||||
\(39\) | −129398. | −0.349302 | ||||||||
\(40\) | −40146.0 | − | 227679.i | −0.0991819 | − | 0.562489i | ||||
\(41\) | 153856. | − | 129100.i | 0.348635 | − | 0.292539i | −0.451607 | − | 0.892217i | \(-0.649149\pi\) |
0.800242 | + | 0.599678i | \(0.204705\pi\) | |||||||
\(42\) | −161693. | + | 58851.4i | −0.336758 | + | 0.122570i | ||||
\(43\) | 478934. | + | 174318.i | 0.918620 | + | 0.334350i | 0.757689 | − | 0.652616i | \(-0.226328\pi\) |
0.160930 | + | 0.986966i | \(0.448551\pi\) | |||||||
\(44\) | 34843.6 | + | 29237.2i | 0.0616650 | + | 0.0517431i | ||||
\(45\) | −457442. | + | 792313.i | −0.748328 | + | 1.29614i | ||||
\(46\) | 183082. | + | 317108.i | 0.277328 | + | 0.480347i | ||||
\(47\) | 134281. | − | 761547.i | 0.188657 | − | 1.06993i | −0.732509 | − | 0.680757i | \(-0.761651\pi\) |
0.921166 | − | 0.389170i | \(-0.127238\pi\) | |||||||
\(48\) | −9021.77 | + | 51165.0i | −0.0117746 | + | 0.0667772i | ||||
\(49\) | −1.02596e6 | − | 1.77701e6i | −1.24579 | − | 2.15777i | ||||
\(50\) | −503077. | + | 871354.i | −0.569166 | + | 0.985825i | ||||
\(51\) | −211944. | − | 177842.i | −0.223731 | − | 0.187733i | ||||
\(52\) | −613524. | − | 223305.i | −0.605090 | − | 0.220235i | ||||
\(53\) | 1.20284e6 | − | 437799.i | 1.10980 | − | 0.403933i | 0.278878 | − | 0.960326i | \(-0.410037\pi\) |
0.830919 | + | 0.556393i | \(0.187815\pi\) | |||||||
\(54\) | 327498. | − | 274803.i | 0.283029 | − | 0.237489i | ||||
\(55\) | −55726.5 | − | 316041.i | −0.0451640 | − | 0.256138i | ||||
\(56\) | −868208. | −0.660641 | ||||||||
\(57\) | 212139. | − | 314341.i | 0.151725 | − | 0.224822i | ||||
\(58\) | 427399. | 0.287631 | ||||||||
\(59\) | 293665. | + | 1.66545e6i | 0.186153 | + | 1.05572i | 0.924465 | + | 0.381266i | \(0.124512\pi\) |
−0.738313 | + | 0.674459i | \(0.764377\pi\) | |||||||
\(60\) | 280800. | − | 235620.i | 0.167830 | − | 0.140826i | ||||
\(61\) | −1.49554e6 | + | 544331.i | −0.843613 | + | 0.307050i | −0.727433 | − | 0.686178i | \(-0.759287\pi\) |
−0.116179 | + | 0.993228i | \(0.537065\pi\) | |||||||
\(62\) | −489724. | − | 178245.i | −0.260964 | − | 0.0949831i | ||||
\(63\) | 2.63191e6 | + | 2.20844e6i | 1.32611 | + | 1.11274i | ||||
\(64\) | −131072. | + | 227023.i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 2.30324e6 | + | 3.98932e6i | 1.04026 | + | 1.80178i | ||||
\(66\) | −12523.1 | + | 71021.8i | −0.00536175 | + | 0.0304080i | ||||
\(67\) | −220292. | + | 1.24934e6i | −0.0894824 | + | 0.507480i | 0.906817 | + | 0.421525i | \(0.138505\pi\) |
−0.996299 | + | 0.0859547i | \(0.972606\pi\) | |||||||
\(68\) | −698002. | − | 1.20897e6i | −0.269200 | − | 0.466268i | ||||
\(69\) | −290281. | + | 502781.i | −0.106377 | + | 0.184250i | ||||
\(70\) | 4.69245e6 | + | 3.93744e6i | 1.63515 | + | 1.37205i | ||||
\(71\) | −4.78651e6 | − | 1.74215e6i | −1.58714 | − | 0.577671i | −0.610397 | − | 0.792095i | \(-0.708990\pi\) |
−0.976741 | + | 0.214424i | \(0.931212\pi\) | |||||||
\(72\) | 974808. | − | 354801.i | 0.307791 | − | 0.112027i | ||||
\(73\) | 4.18395e6 | − | 3.51075e6i | 1.25880 | − | 1.05626i | 0.262991 | − | 0.964798i | \(-0.415291\pi\) |
0.995809 | − | 0.0914597i | \(-0.0291533\pi\) | |||||||
\(74\) | −365308. | − | 2.07176e6i | −0.104797 | − | 0.594332i | ||||
\(75\) | −1.59527e6 | −0.436638 | ||||||||
\(76\) | 1.54829e6 | − | 1.12432e6i | 0.404581 | − | 0.293793i | ||||
\(77\) | −1.20515e6 | −0.300833 | ||||||||
\(78\) | −179758. | − | 1.01946e6i | −0.0428900 | − | 0.243241i | ||||
\(79\) | −4.40140e6 | + | 3.69321e6i | −1.00438 | + | 0.842771i | −0.987585 | − | 0.157088i | \(-0.949789\pi\) |
−0.0167905 | + | 0.999859i | \(0.505345\pi\) | |||||||
\(80\) | 1.73799e6 | − | 632578.i | 0.379519 | − | 0.138134i | ||||
\(81\) | −3.52692e6 | − | 1.28369e6i | −0.737391 | − | 0.268389i | ||||
\(82\) | 1.23085e6 | + | 1.03280e6i | 0.246522 | + | 0.206857i | ||||
\(83\) | 1.52373e6 | − | 2.63918e6i | 0.292506 | − | 0.506635i | −0.681896 | − | 0.731449i | \(-0.738844\pi\) |
0.974402 | + | 0.224814i | \(0.0721776\pi\) | |||||||
\(84\) | −688280. | − | 1.19214e6i | −0.126703 | − | 0.219456i | ||||
\(85\) | −1.71033e6 | + | 9.69975e6i | −0.302074 | + | 1.71314i | ||||
\(86\) | −708027. | + | 4.01542e6i | −0.120034 | + | 0.680748i | ||||
\(87\) | 338824. | + | 586861.i | 0.0551642 | + | 0.0955472i | ||||
\(88\) | −181940. | + | 315130.i | −0.0284603 | + | 0.0492947i | ||||
\(89\) | −6.28700e6 | − | 5.27542e6i | −0.945320 | − | 0.793217i | 0.0331836 | − | 0.999449i | \(-0.489435\pi\) |
−0.978503 | + | 0.206232i | \(0.933880\pi\) | |||||||
\(90\) | −6.87768e6 | − | 2.50327e6i | −0.994473 | − | 0.361959i | ||||
\(91\) | 1.62557e7 | − | 5.91659e6i | 2.26131 | − | 0.823051i | ||||
\(92\) | −2.24399e6 | + | 1.88293e6i | −0.300444 | + | 0.252102i | ||||
\(93\) | −143485. | − | 813745.i | −0.0184977 | − | 0.104905i | ||||
\(94\) | 6.18636e6 | 0.768224 | ||||||||
\(95\) | −1.34671e7 | − | 945054.i | −1.61154 | − | 0.113090i | ||||
\(96\) | −415634. | −0.0479471 | ||||||||
\(97\) | 767151. | + | 4.35073e6i | 0.0853454 | + | 0.484018i | 0.997282 | + | 0.0736856i | \(0.0234761\pi\) |
−0.911936 | + | 0.410332i | \(0.865413\pi\) | |||||||
\(98\) | 1.25749e7 | − | 1.05516e7i | 1.34962 | − | 1.13247i | ||||
\(99\) | 1.35313e6 | − | 492498.i | 0.140157 | − | 0.0510130i | ||||
\(100\) | −7.56380e6 | − | 2.75300e6i | −0.756380 | − | 0.275300i | ||||
\(101\) | −8.73713e6 | − | 7.33132e6i | −0.843809 | − | 0.708040i | 0.114608 | − | 0.993411i | \(-0.463439\pi\) |
−0.958417 | + | 0.285371i | \(0.907883\pi\) | |||||||
\(102\) | 1.10669e6 | − | 1.91685e6i | 0.103259 | − | 0.178850i | ||||
\(103\) | −8.05826e6 | − | 1.39573e7i | −0.726626 | − | 1.25855i | −0.958301 | − | 0.285759i | \(-0.907754\pi\) |
0.231676 | − | 0.972793i | \(-0.425579\pi\) | |||||||
\(104\) | 906998. | − | 5.14384e6i | 0.0790659 | − | 0.448405i | ||||
\(105\) | −1.68651e6 | + | 9.56465e6i | −0.142176 | + | 0.806318i | ||||
\(106\) | 5.12016e6 | + | 8.86837e6i | 0.417554 | + | 0.723225i | ||||
\(107\) | 5.87265e6 | − | 1.01717e7i | 0.463437 | − | 0.802696i | −0.535692 | − | 0.844413i | \(-0.679949\pi\) |
0.999129 | + | 0.0417167i | \(0.0132827\pi\) | |||||||
\(108\) | 2.61998e6 | + | 2.19843e6i | 0.200131 | + | 0.167930i | ||||
\(109\) | 2.45623e6 | + | 893994.i | 0.181667 | + | 0.0661213i | 0.431252 | − | 0.902232i | \(-0.358072\pi\) |
−0.249585 | + | 0.968353i | \(0.580294\pi\) | |||||||
\(110\) | 2.41250e6 | − | 878078.i | 0.172820 | − | 0.0629012i | ||||
\(111\) | 2.55514e6 | − | 2.14401e6i | 0.177331 | − | 0.148798i | ||||
\(112\) | −1.20610e6 | − | 6.84014e6i | −0.0811187 | − | 0.460047i | ||||
\(113\) | −8.76741e6 | −0.571606 | −0.285803 | − | 0.958288i | \(-0.592260\pi\) | ||||
−0.285803 | + | 0.958288i | \(0.592260\pi\) | |||||||
\(114\) | 2.77122e6 | + | 1.23465e6i | 0.175188 | + | 0.0780506i | ||||
\(115\) | 2.06676e7 | 1.26720 | ||||||||
\(116\) | 593736. | + | 3.36725e6i | 0.0353176 | + | 0.200296i | ||||
\(117\) | −1.58337e7 | + | 1.32861e7i | −0.913972 | + | 0.766914i | ||||
\(118\) | −1.27133e7 | + | 4.62725e6i | −0.712312 | + | 0.259260i | ||||
\(119\) | 3.47573e7 | + | 1.26506e7i | 1.89074 | + | 0.688173i | ||||
\(120\) | 2.24640e6 | + | 1.88496e6i | 0.118673 | + | 0.0995788i | ||||
\(121\) | 9.49104e6 | − | 1.64390e7i | 0.487040 | − | 0.843578i | ||||
\(122\) | −6.36607e6 | − | 1.10264e7i | −0.317404 | − | 0.549760i | ||||
\(123\) | −442376. | + | 2.50884e6i | −0.0214350 | + | 0.121564i | ||||
\(124\) | 723979. | − | 4.10589e6i | 0.0340997 | − | 0.193389i | ||||
\(125\) | 1.07568e7 | + | 1.86313e7i | 0.492603 | + | 0.853214i | ||||
\(126\) | −1.37429e7 | + | 2.38033e7i | −0.612041 | + | 1.06009i | ||||
\(127\) | −5.20368e6 | − | 4.36641e6i | −0.225423 | − | 0.189152i | 0.523081 | − | 0.852283i | \(-0.324783\pi\) |
−0.748503 | + | 0.663131i | \(0.769227\pi\) | |||||||
\(128\) | −1.97068e6 | − | 717268.i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | −6.07487e6 | + | 2.21107e6i | −0.249157 | + | 0.0906856i | ||||
\(130\) | −2.82301e7 | + | 2.36879e7i | −1.12697 | + | 0.945636i | ||||
\(131\) | −1.68445e6 | − | 9.55299e6i | −0.0654649 | − | 0.371270i | −0.999886 | − | 0.0150996i | \(-0.995193\pi\) |
0.934421 | − | 0.356170i | \(-0.115918\pi\) | |||||||
\(132\) | −576940. | −0.0218334 | ||||||||
\(133\) | −1.22771e7 | + | 4.91891e7i | −0.452497 | + | 1.81296i | ||||
\(134\) | −1.01489e7 | −0.364378 | ||||||||
\(135\) | −4.19022e6 | − | 2.37639e7i | −0.146578 | − | 0.831285i | ||||
\(136\) | 8.55520e6 | − | 7.17867e6i | 0.291638 | − | 0.244713i | ||||
\(137\) | 8.99401e6 | − | 3.27355e6i | 0.298835 | − | 0.108767i | −0.188251 | − | 0.982121i | \(-0.560282\pi\) |
0.487086 | + | 0.873354i | \(0.338060\pi\) | |||||||
\(138\) | −4.36439e6 | − | 1.58851e6i | −0.141367 | − | 0.0514533i | ||||
\(139\) | −217852. | − | 182800.i | −0.00688034 | − | 0.00577329i | 0.639341 | − | 0.768923i | \(-0.279207\pi\) |
−0.646221 | + | 0.763150i | \(0.723652\pi\) | |||||||
\(140\) | −2.45023e7 | + | 4.24392e7i | −0.754672 | + | 1.30713i | ||||
\(141\) | 4.90430e6 | + | 8.49449e6i | 0.147336 | + | 0.255194i | ||||
\(142\) | 7.07609e6 | − | 4.01305e7i | 0.207388 | − | 1.17616i | ||||
\(143\) | 1.25900e6 | − | 7.14013e6i | 0.0360039 | − | 0.204188i | ||||
\(144\) | 4.14948e6 | + | 7.18711e6i | 0.115804 | + | 0.200579i | ||||
\(145\) | 1.20619e7 | − | 2.08918e7i | 0.328570 | − | 0.569100i | ||||
\(146\) | 3.34716e7 | + | 2.80860e7i | 0.890106 | + | 0.746887i | ||||
\(147\) | 2.44572e7 | + | 8.90170e6i | 0.635033 | + | 0.231133i | ||||
\(148\) | 1.58148e7 | − | 5.75613e6i | 0.401004 | − | 0.145953i | ||||
\(149\) | −1.01595e7 | + | 8.52487e6i | −0.251607 | + | 0.211123i | −0.759864 | − | 0.650082i | \(-0.774734\pi\) |
0.508257 | + | 0.861205i | \(0.330290\pi\) | |||||||
\(150\) | −2.21613e6 | − | 1.25683e7i | −0.0536138 | − | 0.304059i | ||||
\(151\) | 3.53117e7 | 0.834640 | 0.417320 | − | 0.908760i | \(-0.362969\pi\) | ||||
0.417320 | + | 0.908760i | \(0.362969\pi\) | |||||||
\(152\) | 1.10087e7 | + | 1.06363e7i | 0.254264 | + | 0.245662i | ||||
\(153\) | −4.41947e7 | −0.997585 | ||||||||
\(154\) | −1.67418e6 | − | 9.49476e6i | −0.0369386 | − | 0.209489i | ||||
\(155\) | −2.25337e7 | + | 1.89080e7i | −0.486039 | + | 0.407835i | ||||
\(156\) | 7.78203e6 | − | 2.83243e6i | 0.164118 | − | 0.0597342i | ||||
\(157\) | 6.20833e7 | + | 2.25965e7i | 1.28034 | + | 0.466007i | 0.890546 | − | 0.454894i | \(-0.150323\pi\) |
0.389797 | + | 0.920901i | \(0.372545\pi\) | |||||||
\(158\) | −3.52112e7 | − | 2.95457e7i | −0.710200 | − | 0.595929i | ||||
\(159\) | −8.11811e6 | + | 1.40610e7i | −0.160164 | + | 0.277412i | ||||
\(160\) | 7.39814e6 | + | 1.28139e7i | 0.142792 | + | 0.247322i | ||||
\(161\) | 1.34775e7 | − | 7.64349e7i | 0.254519 | − | 1.44345i | ||||
\(162\) | 5.21399e6 | − | 2.95700e7i | 0.0963535 | − | 0.546448i | ||||
\(163\) | −9.85947e6 | − | 1.70771e7i | −0.178319 | − | 0.308857i | 0.762986 | − | 0.646415i | \(-0.223732\pi\) |
−0.941305 | + | 0.337558i | \(0.890399\pi\) | |||||||
\(164\) | −6.42703e6 | + | 1.11319e7i | −0.113778 | + | 0.197069i | ||||
\(165\) | 3.11822e6 | + | 2.61650e6i | 0.0540397 | + | 0.0453447i | ||||
\(166\) | 2.29094e7 | + | 8.33834e6i | 0.388719 | + | 0.141482i | ||||
\(167\) | −1.04113e8 | + | 3.78940e7i | −1.72981 | + | 0.629598i | −0.998617 | − | 0.0525767i | \(-0.983257\pi\) |
−0.731189 | + | 0.682175i | \(0.761034\pi\) | |||||||
\(168\) | 8.43605e6 | − | 7.07868e6i | 0.137264 | − | 0.115178i | ||||
\(169\) | 7.17566e6 | + | 4.06952e7i | 0.114356 | + | 0.648545i | ||||
\(170\) | −7.87950e7 | −1.23006 | ||||||||
\(171\) | −6.31704e6 | − | 6.02458e7i | −0.0966111 | − | 0.921383i | ||||
\(172\) | −3.26189e7 | −0.488787 | ||||||||
\(173\) | −1.90060e7 | − | 1.07788e8i | −0.279080 | − | 1.58274i | −0.725697 | − | 0.688015i | \(-0.758482\pi\) |
0.446617 | − | 0.894725i | \(-0.352629\pi\) | |||||||
\(174\) | −4.15287e6 | + | 3.48467e6i | −0.0597622 | + | 0.0501464i | ||||
\(175\) | 2.00407e8 | − | 7.29423e7i | 2.82671 | − | 1.02884i | ||||
\(176\) | −2.73549e6 | − | 995636.i | −0.0378216 | − | 0.0137660i | ||||
\(177\) | −1.64322e7 | − | 1.37883e7i | −0.222736 | − | 0.186898i | ||||
\(178\) | 3.28284e7 | − | 5.68605e7i | 0.436294 | − | 0.755684i | ||||
\(179\) | 7.00887e6 | + | 1.21397e7i | 0.0913402 | + | 0.158206i | 0.908075 | − | 0.418807i | \(-0.137552\pi\) |
−0.816735 | + | 0.577013i | \(0.804218\pi\) | |||||||
\(180\) | 1.01675e7 | − | 5.76630e7i | 0.129946 | − | 0.736959i | ||||
\(181\) | −1.52026e7 | + | 8.62180e7i | −0.190564 | + | 1.08074i | 0.728031 | + | 0.685544i | \(0.240436\pi\) |
−0.918595 | + | 0.395200i | \(0.870675\pi\) | |||||||
\(182\) | 6.91958e7 | + | 1.19851e8i | 0.850805 | + | 1.47364i | ||||
\(183\) | 1.00935e7 | − | 1.74825e7i | 0.121749 | − | 0.210875i | ||||
\(184\) | −1.79519e7 | − | 1.50634e7i | −0.212446 | − | 0.178263i | ||||
\(185\) | −1.11580e8 | − | 4.06119e7i | −1.29564 | − | 0.471576i | ||||
\(186\) | 6.21173e6 | − | 2.26089e6i | 0.0707811 | − | 0.0257622i | ||||
\(187\) | 1.18754e7 | − | 9.96467e6i | 0.132802 | − | 0.111434i | ||||
\(188\) | 8.59400e6 | + | 4.87390e7i | 0.0943285 | + | 0.534964i | ||||
\(189\) | −9.06188e7 | −0.976342 | ||||||||
\(190\) | −1.12627e7 | − | 1.07413e8i | −0.119125 | − | 1.13610i | ||||
\(191\) | 2.19089e7 | 0.227512 | 0.113756 | − | 0.993509i | \(-0.463712\pi\) | ||||
0.113756 | + | 0.993509i | \(0.463712\pi\) | |||||||
\(192\) | −577393. | − | 3.27456e6i | −0.00588731 | − | 0.0333886i | ||||
\(193\) | −1.21321e8 | + | 1.01800e8i | −1.21475 | + | 1.01929i | −0.215664 | + | 0.976468i | \(0.569191\pi\) |
−0.999083 | + | 0.0428253i | \(0.986364\pi\) | |||||||
\(194\) | −3.32114e7 | + | 1.20879e7i | −0.326573 | + | 0.118863i | ||||
\(195\) | −5.49055e7 | − | 1.99840e7i | −0.530267 | − | 0.193001i | ||||
\(196\) | 1.00599e8 | + | 8.44126e7i | 0.954328 | + | 0.800776i | ||||
\(197\) | −1.07126e8 | + | 1.85548e8i | −0.998308 | + | 1.72912i | −0.448799 | + | 0.893633i | \(0.648148\pi\) |
−0.549510 | + | 0.835487i | \(0.685185\pi\) | |||||||
\(198\) | 5.75987e6 | + | 9.97638e6i | 0.0527332 | + | 0.0913366i | ||||
\(199\) | 2.44989e7 | − | 1.38940e8i | 0.220375 | − | 1.24981i | −0.650958 | − | 0.759114i | \(-0.725633\pi\) |
0.871333 | − | 0.490693i | \(-0.163256\pi\) | |||||||
\(200\) | 1.11819e7 | − | 6.34155e7i | 0.0988347 | − | 0.560519i | ||||
\(201\) | −8.04564e6 | − | 1.39355e7i | −0.0698835 | − | 0.121042i | ||||
\(202\) | 4.56221e7 | − | 7.90197e7i | 0.389444 | − | 0.674537i | ||||
\(203\) | −6.93987e7 | − | 5.82324e7i | −0.582257 | − | 0.488572i | ||||
\(204\) | 1.66392e7 | + | 6.05619e6i | 0.137223 | + | 0.0499452i | ||||
\(205\) | 8.52214e7 | − | 3.10180e7i | 0.690892 | − | 0.251464i | ||||
\(206\) | 9.87677e7 | − | 8.28759e7i | 0.787190 | − | 0.660531i | ||||
\(207\) | 1.61035e7 | + | 9.13275e7i | 0.126190 | + | 0.715658i | ||||
\(208\) | 4.17855e7 | 0.321962 | ||||||||
\(209\) | 1.52812e7 | + | 1.47642e7i | 0.115783 | + | 0.111866i | ||||
\(210\) | −7.76976e7 | −0.578949 | ||||||||
\(211\) | 5.91889e6 | + | 3.35677e7i | 0.0433762 | + | 0.245999i | 0.998785 | − | 0.0492892i | \(-0.0156956\pi\) |
−0.955408 | + | 0.295288i | \(0.904584\pi\) | |||||||
\(212\) | −6.27563e7 | + | 5.26588e7i | −0.452357 | + | 0.379573i | ||||
\(213\) | 6.07128e7 | − | 2.20977e7i | 0.430479 | − | 0.156681i | ||||
\(214\) | 8.82957e7 | + | 3.21370e7i | 0.615874 | + | 0.224160i | ||||
\(215\) | 1.76297e8 | + | 1.47931e8i | 1.20979 | + | 1.01514i | ||||
\(216\) | −1.36806e7 | + | 2.36955e7i | −0.0923669 | + | 0.159984i | ||||
\(217\) | 5.52331e7 | + | 9.56665e7i | 0.366936 | + | 0.635552i | ||||
\(218\) | −3.63114e6 | + | 2.05932e7i | −0.0237381 | + | 0.134625i | ||||
\(219\) | −1.20300e7 | + | 6.82253e7i | −0.0773944 | + | 0.438926i | ||||
\(220\) | 1.02693e7 | + | 1.77870e7i | 0.0650222 | + | 0.112622i | ||||
\(221\) | −1.11261e8 | + | 1.92709e8i | −0.693377 | + | 1.20096i | ||||
\(222\) | 2.04411e7 | + | 1.71521e7i | 0.125392 | + | 0.105216i | ||||
\(223\) | −9.20381e7 | − | 3.34991e7i | −0.555777 | − | 0.202286i | 0.0488343 | − | 0.998807i | \(-0.484449\pi\) |
−0.604611 | + | 0.796521i | \(0.706672\pi\) | |||||||
\(224\) | 5.22143e7 | − | 1.90045e7i | 0.310400 | − | 0.112976i | ||||
\(225\) | −1.95205e8 | + | 1.63797e8i | −1.14249 | + | 0.958664i | ||||
\(226\) | −1.21796e7 | − | 6.90737e7i | −0.0701863 | − | 0.398046i | ||||
\(227\) | 1.17072e8 | 0.664297 | 0.332149 | − | 0.943227i | \(-0.392226\pi\) | ||||
0.332149 | + | 0.943227i | \(0.392226\pi\) | |||||||
\(228\) | −5.87739e6 | + | 2.35481e7i | −0.0328407 | + | 0.131578i | ||||
\(229\) | 2.85904e7 | 0.157324 | 0.0786621 | − | 0.996901i | \(-0.474935\pi\) | ||||
0.0786621 | + | 0.996901i | \(0.474935\pi\) | |||||||
\(230\) | 2.87111e7 | + | 1.62829e8i | 0.155597 | + | 0.882436i | ||||
\(231\) | 1.17100e7 | − | 9.82588e6i | 0.0625052 | − | 0.0524481i | ||||
\(232\) | −2.57039e7 | + | 9.35546e6i | −0.135142 | + | 0.0491878i | ||||
\(233\) | 1.81468e8 | + | 6.60491e7i | 0.939842 | + | 0.342075i | 0.766104 | − | 0.642717i | \(-0.222193\pi\) |
0.173739 | + | 0.984792i | \(0.444415\pi\) | |||||||
\(234\) | −1.26670e8 | − | 1.06289e8i | −0.646276 | − | 0.542290i | ||||
\(235\) | 1.74589e8 | − | 3.02398e8i | 0.877567 | − | 1.51999i | ||||
\(236\) | −5.41167e7 | − | 9.37329e7i | −0.268003 | − | 0.464194i | ||||
\(237\) | 1.26552e7 | − | 7.17711e7i | 0.0617517 | − | 0.350211i | ||||
\(238\) | −5.13831e7 | + | 2.91408e8i | −0.247059 | + | 1.40114i | ||||
\(239\) | 6.31538e7 | + | 1.09386e8i | 0.299231 | + | 0.518284i | 0.975960 | − | 0.217948i | \(-0.0699365\pi\) |
−0.676729 | + | 0.736232i | \(0.736603\pi\) | |||||||
\(240\) | −1.17299e7 | + | 2.03168e7i | −0.0547715 | + | 0.0948670i | ||||
\(241\) | 1.61799e8 | + | 1.35766e8i | 0.744589 | + | 0.624784i | 0.934066 | − | 0.357101i | \(-0.116235\pi\) |
−0.189477 | + | 0.981885i | \(0.560679\pi\) | |||||||
\(242\) | 1.42698e8 | + | 5.19380e7i | 0.647240 | + | 0.235576i | ||||
\(243\) | 1.54560e8 | − | 5.62554e7i | 0.690997 | − | 0.251502i | ||||
\(244\) | 7.80271e7 | − | 6.54725e7i | 0.343860 | − | 0.288533i | ||||
\(245\) | −1.60891e8 | − | 9.12460e8i | −0.698958 | − | 3.96399i | ||||
\(246\) | −2.03804e7 | −0.0872848 | ||||||||
\(247\) | −2.78603e8 | − | 1.24125e8i | −1.17638 | − | 0.524105i | ||||
\(248\) | 3.33538e7 | 0.138856 | ||||||||
\(249\) | 6.71227e6 | + | 3.80672e7i | 0.0275532 | + | 0.156262i | ||||
\(250\) | −1.31843e8 | + | 1.10629e8i | −0.533662 | + | 0.447795i | ||||
\(251\) | −2.85510e8 | + | 1.03917e8i | −1.13963 | + | 0.414790i | −0.841779 | − | 0.539823i | \(-0.818491\pi\) |
−0.297848 | + | 0.954613i | \(0.596269\pi\) | |||||||
\(252\) | −2.06625e8 | − | 7.52054e7i | −0.813357 | − | 0.296038i | ||||
\(253\) | −2.49189e7 | − | 2.09095e7i | −0.0967404 | − | 0.0811748i | ||||
\(254\) | 2.71717e7 | − | 4.70627e7i | 0.104040 | − | 0.180202i | ||||
\(255\) | −6.24655e7 | − | 1.08193e8i | −0.235912 | − | 0.408611i | ||||
\(256\) | 2.91333e6 | − | 1.65223e7i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −4.66050e7 | + | 2.64310e8i | −0.171264 | + | 0.971287i | 0.771104 | + | 0.636709i | \(0.219705\pi\) |
−0.942368 | + | 0.334578i | \(0.891406\pi\) | |||||||
\(258\) | −2.58589e7 | − | 4.47890e7i | −0.0937437 | − | 0.162369i | ||||
\(259\) | −2.22958e8 | + | 3.86174e8i | −0.797395 | + | 1.38113i | ||||
\(260\) | −2.25841e8 | − | 1.89503e8i | −0.796885 | − | 0.668666i | ||||
\(261\) | 1.01717e8 | + | 3.70219e7i | 0.354120 | + | 0.128889i | ||||
\(262\) | 7.29228e7 | − | 2.65417e7i | 0.250501 | − | 0.0911748i | ||||
\(263\) | −9.73753e7 | + | 8.17076e7i | −0.330068 | + | 0.276960i | −0.792728 | − | 0.609576i | \(-0.791340\pi\) |
0.462659 | + | 0.886536i | \(0.346895\pi\) | |||||||
\(264\) | −801476. | − | 4.54540e6i | −0.00268088 | − | 0.0152040i | ||||
\(265\) | 5.77997e8 | 1.90794 | ||||||||
\(266\) | −4.04590e8 | − | 2.83921e7i | −1.31804 | − | 0.0924937i | ||||
\(267\) | 1.04100e8 | 0.334705 | ||||||||
\(268\) | −1.40987e7 | − | 7.99578e7i | −0.0447412 | − | 0.253740i | ||||
\(269\) | 3.00091e8 | − | 2.51806e8i | 0.939982 | − | 0.788739i | −0.0376001 | − | 0.999293i | \(-0.511971\pi\) |
0.977582 | + | 0.210554i | \(0.0675269\pi\) | |||||||
\(270\) | 1.81402e8 | − | 6.60250e7i | 0.560879 | − | 0.204143i | ||||
\(271\) | −4.55757e7 | − | 1.65882e7i | −0.139104 | − | 0.0506299i | 0.271530 | − | 0.962430i | \(-0.412470\pi\) |
−0.410634 | + | 0.911800i | \(0.634693\pi\) | |||||||
\(272\) | 6.84416e7 | + | 5.74294e7i | 0.206219 | + | 0.173039i | ||||
\(273\) | −1.09711e8 | + | 1.90025e8i | −0.326349 | + | 0.565252i | ||||
\(274\) | 3.82849e7 | + | 6.63114e7i | 0.112435 | + | 0.194743i | ||||
\(275\) | 1.55215e7 | − | 8.80267e7i | 0.0450059 | − | 0.255241i | ||||
\(276\) | 6.45206e6 | − | 3.65914e7i | 0.0184721 | − | 0.104761i | ||||
\(277\) | −1.55678e8 | − | 2.69642e8i | −0.440097 | − | 0.762270i | 0.557599 | − | 0.830110i | \(-0.311723\pi\) |
−0.997696 | + | 0.0678401i | \(0.978389\pi\) | |||||||
\(278\) | 1.13754e6 | − | 1.97028e6i | 0.00317549 | − | 0.00550011i | ||||
\(279\) | −1.01110e8 | − | 8.48412e7i | −0.278727 | − | 0.233879i | ||||
\(280\) | −3.68393e8 | − | 1.34084e8i | −1.00290 | − | 0.365027i | ||||
\(281\) | 4.13820e8 | − | 1.50618e8i | 1.11260 | − | 0.404954i | 0.280654 | − | 0.959809i | \(-0.409449\pi\) |
0.831947 | + | 0.554855i | \(0.187226\pi\) | |||||||
\(282\) | −6.01105e7 | + | 5.04387e7i | −0.159617 | + | 0.133934i | ||||
\(283\) | −6.84305e7 | − | 3.88089e8i | −0.179472 | − | 1.01784i | −0.932854 | − | 0.360254i | \(-0.882690\pi\) |
0.753382 | − | 0.657583i | \(-0.228421\pi\) | |||||||
\(284\) | 3.25997e8 | 0.844498 | ||||||||
\(285\) | 1.38560e8 | − | 1.00617e8i | 0.354552 | − | 0.257463i | ||||
\(286\) | 5.80023e7 | 0.146610 | ||||||||
\(287\) | −5.91404e7 | − | 3.35402e8i | −0.147672 | − | 0.837489i | ||||
\(288\) | −5.08590e7 | + | 4.26757e7i | −0.125457 | + | 0.105271i | ||||
\(289\) | −6.15017e7 | + | 2.23848e7i | −0.149880 | + | 0.0545520i | ||||
\(290\) | 1.81352e8 | + | 6.60066e7i | 0.436645 | + | 0.158926i | ||||
\(291\) | −4.29266e7 | − | 3.60197e7i | −0.102118 | − | 0.0856869i | ||||
\(292\) | −1.74776e8 | + | 3.02721e8i | −0.410811 | + | 0.711546i | ||||
\(293\) | −2.63024e8 | − | 4.55571e8i | −0.610884 | − | 1.05808i | −0.991092 | − | 0.133181i | \(-0.957481\pi\) |
0.380207 | − | 0.924901i | \(-0.375853\pi\) | |||||||
\(294\) | −3.61561e7 | + | 2.05051e8i | −0.0829786 | + | 0.470595i | ||||
\(295\) | −1.32603e8 | + | 7.52030e8i | −0.300730 | + | 1.70553i | ||||
\(296\) | 6.73192e7 | + | 1.16600e8i | 0.150875 | + | 0.261323i | ||||
\(297\) | −1.89899e7 | + | 3.28915e7i | −0.0420606 | + | 0.0728512i | ||||
\(298\) | −8.12763e7 | − | 6.81989e7i | −0.177913 | − | 0.149287i | ||||
\(299\) | 4.38771e8 | + | 1.59700e8i | 0.949269 | + | 0.345506i | ||||
\(300\) | 9.59404e7 | − | 3.49194e7i | 0.205153 | − | 0.0746694i | ||||
\(301\) | 6.62060e8 | − | 5.55534e8i | 1.39931 | − | 1.17416i | ||||
\(302\) | 4.90545e7 | + | 2.78202e8i | 0.102484 | + | 0.581214i | ||||
\(303\) | 1.44669e8 | 0.298763 | ||||||||
\(304\) | −6.85044e7 | + | 1.01508e8i | −0.139849 | + | 0.207225i | ||||
\(305\) | −7.18644e8 | −1.45032 | ||||||||
\(306\) | −6.13946e7 | − | 3.48186e8i | −0.122491 | − | 0.694683i | ||||
\(307\) | −2.82358e8 | + | 2.36927e8i | −0.556950 | + | 0.467337i | −0.877286 | − | 0.479967i | \(-0.840649\pi\) |
0.320336 | + | 0.947304i | \(0.396204\pi\) | |||||||
\(308\) | 7.24784e7 | − | 2.63800e7i | 0.141345 | − | 0.0514454i | ||||
\(309\) | 1.92096e8 | + | 6.99172e7i | 0.370394 | + | 0.134812i | ||||
\(310\) | −1.80269e8 | − | 1.51264e8i | −0.343681 | − | 0.288383i | ||||
\(311\) | −7.94819e7 | + | 1.37667e8i | −0.149833 | + | 0.259518i | −0.931166 | − | 0.364597i | \(-0.881207\pi\) |
0.781333 | + | 0.624115i | \(0.214540\pi\) | |||||||
\(312\) | 3.31259e7 | + | 5.73757e7i | 0.0617485 | + | 0.106951i | ||||
\(313\) | −3.79921e7 | + | 2.15464e8i | −0.0700307 | + | 0.397164i | 0.929563 | + | 0.368663i | \(0.120184\pi\) |
−0.999594 | + | 0.0285007i | \(0.990927\pi\) | |||||||
\(314\) | −9.17803e7 | + | 5.20512e8i | −0.167300 | + | 0.948805i | ||||
\(315\) | 7.75693e8 | + | 1.34354e9i | 1.39831 | + | 2.42194i | ||||
\(316\) | 1.83860e8 | − | 3.18454e8i | 0.327780 | − | 0.567731i | ||||
\(317\) | 2.05188e8 | + | 1.72173e8i | 0.361780 | + | 0.303569i | 0.805500 | − | 0.592596i | \(-0.201897\pi\) |
−0.443720 | + | 0.896165i | \(0.646342\pi\) | |||||||
\(318\) | −1.22056e8 | − | 4.44249e7i | −0.212846 | − | 0.0774696i | ||||
\(319\) | −3.56795e7 | + | 1.29863e7i | −0.0615391 | + | 0.0223984i | ||||
\(320\) | −9.06768e7 | + | 7.60869e7i | −0.154693 | + | 0.129803i | ||||
\(321\) | 2.58699e7 | + | 1.46716e8i | 0.0436544 | + | 0.247576i | ||||
\(322\) | 6.20912e8 | 1.03642 | ||||||||
\(323\) | −2.85737e8 | − | 5.86215e8i | −0.471799 | − | 0.967938i | ||||
\(324\) | 2.40209e8 | 0.392358 | ||||||||
\(325\) | 2.22798e8 | + | 1.26355e9i | 0.360013 | + | 2.04174i | ||||
\(326\) | 1.20845e8 | − | 1.01401e8i | 0.193182 | − | 0.162099i | ||||
\(327\) | −3.11552e7 | + | 1.13395e7i | −0.0492734 | + | 0.0179341i | ||||
\(328\) | −9.66309e7 | − | 3.51708e7i | −0.151202 | − | 0.0550330i | ||||
\(329\) | −1.00451e9 | − | 8.42882e8i | −1.55513 | − | 1.30491i | ||||
\(330\) | −1.62822e7 | + | 2.82016e7i | −0.0249410 | + | 0.0431991i | ||||
\(331\) | 3.99452e8 | + | 6.91871e8i | 0.605434 | + | 1.04864i | 0.991983 | + | 0.126373i | \(0.0403336\pi\) |
−0.386549 | + | 0.922269i | \(0.626333\pi\) | |||||||
\(332\) | −3.38679e7 | + | 1.92074e8i | −0.0507931 | + | 0.288062i | ||||
\(333\) | 9.25193e7 | − | 5.24703e8i | 0.137302 | − | 0.778680i | ||||
\(334\) | −4.43179e8 | − | 7.67609e8i | −0.650829 | − | 1.12727i | ||||
\(335\) | −2.86419e8 | + | 4.96092e8i | −0.416241 | + | 0.720951i | ||||
\(336\) | 6.74884e7 | + | 5.66295e7i | 0.0970603 | + | 0.0814432i | ||||
\(337\) | −3.58551e8 | − | 1.30502e8i | −0.510324 | − | 0.185743i | 0.0740078 | − | 0.997258i | \(-0.476421\pi\) |
−0.584332 | + | 0.811515i | \(0.698643\pi\) | |||||||
\(338\) | −3.10647e8 | + | 1.13066e8i | −0.437582 | + | 0.159267i | ||||
\(339\) | 8.51896e7 | − | 7.14826e7i | 0.118765 | − | 0.0996555i | ||||
\(340\) | −1.09461e8 | − | 6.20784e8i | −0.151037 | − | 0.856572i | ||||
\(341\) | 4.62983e7 | 0.0632302 | ||||||||
\(342\) | 4.65869e8 | − | 1.33461e8i | 0.629756 | − | 0.180411i | ||||
\(343\) | −2.08298e9 | −2.78712 | ||||||||
\(344\) | −4.53137e7 | − | 2.56987e8i | −0.0600171 | − | 0.340374i | ||||
\(345\) | −2.00819e8 | + | 1.68507e8i | −0.263292 | + | 0.220928i | ||||
\(346\) | 8.22802e8 | − | 2.99475e8i | 1.06790 | − | 0.388682i | ||||
\(347\) | 8.04045e8 | + | 2.92649e8i | 1.03306 | + | 0.376005i | 0.802247 | − | 0.596992i | \(-0.203638\pi\) |
0.230817 | + | 0.972997i | \(0.425860\pi\) | |||||||
\(348\) | −3.32230e7 | − | 2.78774e7i | −0.0422582 | − | 0.0354589i | ||||
\(349\) | −4.58203e8 | + | 7.93631e8i | −0.576991 | + | 0.999377i | 0.418832 | + | 0.908064i | \(0.362440\pi\) |
−0.995822 | + | 0.0913131i | \(0.970894\pi\) | |||||||
\(350\) | 8.53076e8 | + | 1.47757e9i | 1.06353 | + | 1.84209i | ||||
\(351\) | 9.46674e7 | − | 5.36886e8i | 0.116849 | − | 0.662685i | ||||
\(352\) | 4.04398e6 | − | 2.29346e7i | 0.00494208 | − | 0.0280279i | ||||
\(353\) | 3.18673e8 | + | 5.51958e8i | 0.385597 | + | 0.667873i | 0.991852 | − | 0.127397i | \(-0.0406622\pi\) |
−0.606255 | + | 0.795270i | \(0.707329\pi\) | |||||||
\(354\) | 8.58030e7 | − | 1.48615e8i | 0.102800 | − | 0.178054i | ||||
\(355\) | −1.76193e9 | − | 1.47844e9i | −2.09021 | − | 1.75390i | ||||
\(356\) | 4.93578e8 | + | 1.79648e8i | 0.579803 | + | 0.211031i | ||||
\(357\) | −4.40867e8 | + | 1.60462e8i | −0.512824 | + | 0.186653i | ||||
\(358\) | −8.59056e7 | + | 7.20834e7i | −0.0989535 | + | 0.0830318i | ||||
\(359\) | −2.03430e6 | − | 1.15371e7i | −0.00232052 | − | 0.0131603i | 0.983626 | − | 0.180224i | \(-0.0576824\pi\) |
−0.985946 | + | 0.167064i | \(0.946571\pi\) | |||||||
\(360\) | 4.68420e8 | 0.529148 | ||||||||
\(361\) | 7.58280e8 | − | 4.73305e8i | 0.848310 | − | 0.529500i | ||||
\(362\) | −7.00385e8 | −0.775991 | ||||||||
\(363\) | 4.18095e7 | + | 2.37114e8i | 0.0458777 | + | 0.260186i | ||||
\(364\) | −8.48113e8 | + | 7.11651e8i | −0.921720 | + | 0.773415i | ||||
\(365\) | 2.31751e9 | − | 8.43503e8i | 2.49457 | − | 0.907949i | ||||
\(366\) | 1.51757e8 | + | 5.52350e7i | 0.161795 | + | 0.0588886i | ||||
\(367\) | 5.31463e8 | + | 4.45950e8i | 0.561231 | + | 0.470929i | 0.878723 | − | 0.477332i | \(-0.158396\pi\) |
−0.317492 | + | 0.948261i | \(0.602841\pi\) | |||||||
\(368\) | 9.37382e7 | − | 1.62359e8i | 0.0980504 | − | 0.169828i | ||||
\(369\) | 2.03467e8 | + | 3.52415e8i | 0.210815 | + | 0.365142i | ||||
\(370\) | 1.64953e8 | − | 9.35497e8i | 0.169299 | − | 0.960144i | ||||
\(371\) | 3.76918e8 | − | 2.13761e9i | 0.383212 | − | 2.17330i | ||||
\(372\) | 2.64416e7 | + | 4.57981e7i | 0.0266310 | + | 0.0461262i | ||||
\(373\) | −5.98557e8 | + | 1.03673e9i | −0.597207 | + | 1.03439i | 0.396025 | + | 0.918240i | \(0.370390\pi\) |
−0.993231 | + | 0.116153i | \(0.962944\pi\) | |||||||
\(374\) | 9.50035e7 | + | 7.97174e7i | 0.0939050 | + | 0.0787957i | ||||
\(375\) | −2.56424e8 | − | 9.33308e7i | −0.251102 | − | 0.0913936i | ||||
\(376\) | −3.72050e8 | + | 1.35415e8i | −0.360947 | + | 0.131374i | ||||
\(377\) | 4.17507e8 | − | 3.50330e8i | 0.401299 | − | 0.336730i | ||||
\(378\) | −1.25886e8 | − | 7.13937e8i | −0.119883 | − | 0.679889i | ||||
\(379\) | 9.05030e8 | 0.853937 | 0.426968 | − | 0.904267i | \(-0.359582\pi\) | ||||
0.426968 | + | 0.904267i | \(0.359582\pi\) | |||||||
\(380\) | 8.30601e8 | − | 2.37949e8i | 0.776515 | − | 0.222454i | ||||
\(381\) | 8.61624e7 | 0.0798143 | ||||||||
\(382\) | 3.04356e7 | + | 1.72609e8i | 0.0279357 | + | 0.158431i | ||||
\(383\) | 6.91275e7 | − | 5.80048e7i | 0.0628717 | − | 0.0527556i | −0.610810 | − | 0.791777i | \(-0.709156\pi\) |
0.673682 | + | 0.739021i | \(0.264712\pi\) | |||||||
\(384\) | 2.49964e7 | − | 9.09794e6i | 0.0225277 | − | 0.00819943i | ||||
\(385\) | −5.11365e8 | − | 1.86122e8i | −0.456687 | − | 0.166220i | ||||
\(386\) | −9.70568e8 | − | 8.14403e8i | −0.858955 | − | 0.720749i | ||||
\(387\) | −5.16325e8 | + | 8.94301e8i | −0.452829 | + | 0.784324i | ||||
\(388\) | −1.41371e8 | − | 2.44862e8i | −0.122871 | − | 0.212819i | ||||
\(389\) | 2.12246e8 | − | 1.20371e9i | 0.182817 | − | 1.03681i | −0.745912 | − | 0.666045i | \(-0.767986\pi\) |
0.928729 | − | 0.370761i | \(-0.120903\pi\) | |||||||
\(390\) | 8.11689e7 | − | 4.60332e8i | 0.0692889 | − | 0.392957i | ||||
\(391\) | 4.99187e8 | + | 8.64617e8i | 0.422323 | + | 0.731484i | ||||
\(392\) | −5.25291e8 | + | 9.09831e8i | −0.440452 | + | 0.762886i | ||||
\(393\) | 9.42547e7 | + | 7.90891e7i | 0.0783302 | + | 0.0657268i | ||||
\(394\) | −1.61065e9 | − | 5.86230e8i | −1.32668 | − | 0.482871i | ||||
\(395\) | −2.43795e9 | + | 8.87342e8i | −1.99038 | + | 0.724438i | ||||
\(396\) | −7.05970e7 | + | 5.92379e7i | −0.0571286 | + | 0.0479366i | ||||
\(397\) | −3.87601e8 | − | 2.19820e9i | −0.310898 | − | 1.76319i | −0.594351 | − | 0.804206i | \(-0.702591\pi\) |
0.283452 | − | 0.958986i | \(-0.408520\pi\) | |||||||
\(398\) | 1.12867e9 | 0.897380 | ||||||||
\(399\) | −2.81757e8 | − | 5.78050e8i | −0.222060 | − | 0.455575i | ||||
\(400\) | 5.15151e8 | 0.402461 | ||||||||
\(401\) | −2.92801e8 | − | 1.66056e9i | −0.226760 | − | 1.28602i | −0.859291 | − | 0.511487i | \(-0.829095\pi\) |
0.632531 | − | 0.774535i | \(-0.282016\pi\) | |||||||
\(402\) | 9.86131e7 | − | 8.27462e7i | 0.0757083 | − | 0.0635268i | ||||
\(403\) | −6.24493e8 | + | 2.27297e8i | −0.475291 | + | 0.172992i | ||||
\(404\) | 6.85931e8 | + | 2.49659e8i | 0.517542 | + | 0.188370i | ||||
\(405\) | −1.29827e9 | − | 1.08938e9i | −0.971122 | − | 0.814868i | ||||
\(406\) | 3.62374e8 | − | 6.27650e8i | 0.268730 | − | 0.465454i | ||||
\(407\) | 9.34453e7 | + | 1.61852e8i | 0.0687032 | + | 0.118998i | ||||
\(408\) | −2.45985e7 | + | 1.39505e8i | −0.0179307 | + | 0.101690i | ||||
\(409\) | −2.79996e8 | + | 1.58794e9i | −0.202358 | + | 1.14763i | 0.699185 | + | 0.714941i | \(0.253546\pi\) |
−0.901543 | + | 0.432690i | \(0.857565\pi\) | |||||||
\(410\) | 3.62763e8 | + | 6.28324e8i | 0.259944 | + | 0.450236i | ||||
\(411\) | −6.07014e7 | + | 1.05138e8i | −0.0431273 | + | 0.0746987i | ||||
\(412\) | 7.90142e8 | + | 6.63008e8i | 0.556628 | + | 0.467066i | ||||
\(413\) | 2.69477e9 | + | 9.80814e8i | 1.88233 | + | 0.685112i | ||||
\(414\) | −6.97150e8 | + | 2.53742e8i | −0.482864 | + | 0.175748i | ||||
\(415\) | 1.05413e9 | − | 8.84520e8i | 0.723979 | − | 0.607491i | ||||
\(416\) | 5.80478e7 | + | 3.29206e8i | 0.0395330 | + | 0.224203i | ||||
\(417\) | 3.60719e6 | 0.00243609 | ||||||||
\(418\) | −9.50905e7 | + | 1.40902e8i | −0.0636825 | + | 0.0943629i | ||||
\(419\) | 2.01929e8 | 0.134107 | 0.0670533 | − | 0.997749i | \(-0.478640\pi\) | ||||
0.0670533 | + | 0.997749i | \(0.478640\pi\) | |||||||
\(420\) | −1.07936e8 | − | 6.12137e8i | −0.0710878 | − | 0.403159i | ||||
\(421\) | 3.90140e8 | − | 3.27367e8i | 0.254820 | − | 0.213819i | −0.506425 | − | 0.862284i | \(-0.669033\pi\) |
0.761245 | + | 0.648465i | \(0.224589\pi\) | |||||||
\(422\) | −2.56239e8 | + | 9.32635e7i | −0.165979 | + | 0.0604113i | ||||
\(423\) | 1.47229e9 | + | 5.35871e8i | 0.945809 | + | 0.344246i | ||||
\(424\) | −5.02050e8 | − | 4.21270e8i | −0.319865 | − | 0.268399i | ||||
\(425\) | −1.37167e9 | + | 2.37581e9i | −0.866741 | + | 1.50124i | ||||
\(426\) | 2.58437e8 | + | 4.47626e8i | 0.161965 | + | 0.280531i | ||||
\(427\) | −4.68636e8 | + | 2.65777e9i | −0.291298 | + | 1.65204i | ||||
\(428\) | −1.30531e8 | + | 7.40279e8i | −0.0804750 | + | 0.456396i | ||||
\(429\) | 4.59818e7 | + | 7.96429e7i | 0.0281181 | + | 0.0487020i | ||||
\(430\) | −9.20560e8 | + | 1.59446e9i | −0.558357 | + | 0.967103i | ||||
\(431\) | −1.89330e9 | − | 1.58867e9i | −1.13907 | − | 0.955789i | −0.139658 | − | 0.990200i | \(-0.544600\pi\) |
−0.999408 | + | 0.0344105i | \(0.989045\pi\) | |||||||
\(432\) | −2.05689e8 | − | 7.48645e7i | −0.122749 | − | 0.0446769i | ||||
\(433\) | 9.21258e8 | − | 3.35311e8i | 0.545348 | − | 0.198490i | −0.0546304 | − | 0.998507i | \(-0.517398\pi\) |
0.599978 | + | 0.800016i | \(0.295176\pi\) | |||||||
\(434\) | −6.76976e8 | + | 5.68050e8i | −0.397520 | + | 0.333559i | ||||
\(435\) | 5.31346e7 | + | 3.01341e8i | 0.0309503 | + | 0.175528i | ||||
\(436\) | −1.67287e8 | −0.0966629 | ||||||||
\(437\) | −1.10729e9 | + | 8.04072e8i | −0.634709 | + | 0.460904i | ||||
\(438\) | −5.54222e8 | −0.315155 | ||||||||
\(439\) | 6.08257e8 | + | 3.44960e9i | 0.343132 | + | 1.94600i | 0.323614 | + | 0.946189i | \(0.395102\pi\) |
0.0195182 | + | 0.999810i | \(0.493787\pi\) | |||||||
\(440\) | −1.25868e8 | + | 1.05616e8i | −0.0704419 | + | 0.0591078i | ||||
\(441\) | 3.90669e9 | − | 1.42192e9i | 2.16907 | − | 0.789478i | ||||
\(442\) | −1.67282e9 | − | 6.08855e8i | −0.921447 | − | 0.335379i | ||||
\(443\) | 8.41111e7 | + | 7.05776e7i | 0.0459664 | + | 0.0385704i | 0.665481 | − | 0.746414i | \(-0.268226\pi\) |
−0.619515 | + | 0.784985i | \(0.712671\pi\) | |||||||
\(444\) | −1.06736e8 | + | 1.84872e8i | −0.0578722 | + | 0.100238i | ||||
\(445\) | −1.85294e9 | − | 3.20939e9i | −0.996786 | − | 1.72648i | ||||
\(446\) | 1.36064e8 | − | 7.71655e8i | 0.0726223 | − | 0.411862i | ||||
\(447\) | 2.92113e7 | − | 1.65666e8i | 0.0154695 | − | 0.0877317i | ||||
\(448\) | 2.22261e8 | + | 3.84968e8i | 0.116786 | + | 0.202279i | ||||
\(449\) | −7.20969e8 | + | 1.24876e9i | −0.375885 | + | 0.651051i | −0.990459 | − | 0.137808i | \(-0.955994\pi\) |
0.614574 | + | 0.788859i | \(0.289328\pi\) | |||||||
\(450\) | −1.56164e9 | − | 1.31037e9i | −0.807863 | − | 0.677878i | ||||
\(451\) | −1.34133e8 | − | 4.88204e7i | −0.0688521 | − | 0.0250601i | ||||
\(452\) | 5.27275e8 | − | 1.91912e8i | 0.268567 | − | 0.0977504i | ||||
\(453\) | −3.43110e8 | + | 2.87904e8i | −0.173416 | + | 0.145514i | ||||
\(454\) | 1.62635e8 | + | 9.22347e8i | 0.0815676 | + | 0.462593i | ||||
\(455\) | 7.81128e9 | 3.88761 | ||||||||
\(456\) | −1.93688e8 | − | 1.35921e7i | −0.0956589 | − | 0.00671287i | ||||
\(457\) | 1.47968e9 | 0.725207 | 0.362604 | − | 0.931943i | \(-0.381888\pi\) | ||||
0.362604 | + | 0.931943i | \(0.381888\pi\) | |||||||
\(458\) | 3.97173e7 | + | 2.25248e8i | 0.0193175 | + | 0.109555i | ||||
\(459\) | 8.92945e8 | − | 7.49270e8i | 0.431003 | − | 0.361655i | ||||
\(460\) | −1.24295e9 | + | 4.52398e8i | −0.595391 | + | 0.216705i | ||||
\(461\) | −7.80344e8 | − | 2.84022e8i | −0.370965 | − | 0.135020i | 0.149809 | − | 0.988715i | \(-0.452134\pi\) |
−0.520774 | + | 0.853695i | \(0.674356\pi\) | |||||||
\(462\) | 9.36803e7 | + | 7.86071e7i | 0.0441978 | + | 0.0370864i | ||||
\(463\) | 1.79631e9 | − | 3.11130e9i | 0.841101 | − | 1.45683i | −0.0478636 | − | 0.998854i | \(-0.515241\pi\) |
0.888965 | − | 0.457976i | \(-0.151425\pi\) | |||||||
\(464\) | −1.09414e8 | − | 1.89511e8i | −0.0508464 | − | 0.0880686i | ||||
\(465\) | 6.47903e7 | − | 3.67444e8i | 0.0298830 | − | 0.169475i | ||||
\(466\) | −2.68272e8 | + | 1.52145e9i | −0.122807 | + | 0.696475i | ||||
\(467\) | 1.31546e8 | + | 2.27844e8i | 0.0597680 | + | 0.103521i | 0.894361 | − | 0.447346i | \(-0.147631\pi\) |
−0.834593 | + | 0.550867i | \(0.814297\pi\) | |||||||
\(468\) | 6.61423e8 | − | 1.14562e9i | 0.298276 | − | 0.516630i | ||||
\(469\) | 1.64792e9 | + | 1.38277e9i | 0.737619 | + | 0.618936i | ||||
\(470\) | 2.62497e9 | + | 9.55409e8i | 1.16622 | + | 0.424470i | ||||
\(471\) | −7.87474e8 | + | 2.86617e8i | −0.347267 | + | 0.126395i | ||||
\(472\) | 6.63293e8 | − | 5.56569e8i | 0.290341 | − | 0.243625i | ||||
\(473\) | −6.28997e7 | − | 3.56722e8i | −0.0273297 | − | 0.154994i | ||||
\(474\) | 5.83026e8 | 0.251457 | ||||||||
\(475\) | −3.43474e9 | − | 1.53026e9i | −1.47051 | − | 0.655146i | ||||
\(476\) | −2.36723e9 | −1.00604 | ||||||||
\(477\) | 4.50357e8 | + | 2.55410e9i | 0.189995 | + | 1.07752i | ||||
\(478\) | −7.74058e8 | + | 6.49512e8i | −0.324172 | + | 0.272013i | ||||
\(479\) | −3.68456e9 | + | 1.34107e9i | −1.53183 | + | 0.557541i | −0.964069 | − | 0.265651i | \(-0.914413\pi\) |
−0.567762 | + | 0.823192i | \(0.692191\pi\) | |||||||
\(480\) | −1.76360e8 | − | 6.41897e7i | −0.0727872 | − | 0.0264924i | ||||
\(481\) | −2.05503e9 | − | 1.72438e9i | −0.841998 | − | 0.706520i | ||||
\(482\) | −8.44855e8 | + | 1.46333e9i | −0.343651 | + | 0.595221i | ||||
\(483\) | 4.92234e8 | + | 8.52575e8i | 0.198773 | + | 0.344284i | ||||
\(484\) | −2.10957e8 | + | 1.19640e9i | −0.0845736 | + | 0.479641i | ||||
\(485\) | −3.46404e8 | + | 1.96456e9i | −0.137876 | + | 0.781931i | ||||
\(486\) | 6.57919e8 | + | 1.13955e9i | 0.259983 | + | 0.450304i | ||||
\(487\) | −1.37691e9 | + | 2.38487e9i | −0.540198 | + | 0.935650i | 0.458695 | + | 0.888594i | \(0.348317\pi\) |
−0.998892 | + | 0.0470559i | \(0.985016\pi\) | |||||||
\(488\) | 6.24217e8 | + | 5.23780e8i | 0.243145 | + | 0.204023i | ||||
\(489\) | 2.35034e8 | + | 8.55454e7i | 0.0908971 | + | 0.0330838i | ||||
\(490\) | 6.96527e9 | − | 2.53515e9i | 2.67456 | − | 0.973459i | ||||
\(491\) | 1.54836e9 | − | 1.29923e9i | 0.590318 | − | 0.495336i | −0.297999 | − | 0.954566i | \(-0.596319\pi\) |
0.888317 | + | 0.459231i | \(0.151875\pi\) | |||||||
\(492\) | −2.83121e7 | − | 1.60566e8i | −0.0107175 | − | 0.0607820i | ||||
\(493\) | 1.16533e9 | 0.438012 | ||||||||
\(494\) | 5.90880e8 | − | 2.36740e9i | 0.220523 | − | 0.883541i | ||||
\(495\) | 6.50212e8 | 0.240955 | ||||||||
\(496\) | 4.63346e7 | + | 2.62777e8i | 0.0170498 | + | 0.0966944i | ||||
\(497\) | −6.61669e9 | + | 5.55206e9i | −2.41765 | + | 2.02865i | ||||
\(498\) | −2.90586e8 | + | 1.05765e8i | −0.105432 | + | 0.0383741i | ||||
\(499\) | 8.07024e7 | + | 2.93733e7i | 0.0290760 | + | 0.0105828i | 0.356517 | − | 0.934289i | \(-0.383964\pi\) |
−0.327441 | + | 0.944872i | \(0.606186\pi\) | |||||||
\(500\) | −1.05474e9 | − | 8.85033e8i | −0.377356 | − | 0.316639i | ||||
\(501\) | 7.02669e8 | − | 1.21706e9i | 0.249643 | − | 0.432394i | ||||
\(502\) | −1.21533e9 | − | 2.10502e9i | −0.428777 | − | 0.742664i | ||||
\(503\) | 2.69393e8 | − | 1.52780e9i | 0.0943838 | − | 0.535277i | −0.900551 | − | 0.434751i | \(-0.856836\pi\) |
0.994934 | − | 0.100526i | \(-0.0320526\pi\) | |||||||
\(504\) | 3.05462e8 | − | 1.73236e9i | 0.106280 | − | 0.602742i | ||||
\(505\) | −2.57506e9 | − | 4.46013e9i | −0.889749 | − | 1.54109i | ||||
\(506\) | 1.30117e8 | − | 2.25370e8i | 0.0446487 | − | 0.0773338i | ||||
\(507\) | −4.01520e8 | − | 3.36915e8i | −0.136829 | − | 0.114813i | ||||
\(508\) | 4.08529e8 | + | 1.48692e8i | 0.138261 | + | 0.0503229i | ||||
\(509\) | 1.22881e9 | − | 4.47249e8i | 0.413020 | − | 0.150327i | −0.127149 | − | 0.991884i | \(-0.540583\pi\) |
0.540169 | + | 0.841557i | \(0.318360\pi\) | |||||||
\(510\) | 7.65622e8 | − | 6.42433e8i | 0.255575 | − | 0.214453i | ||||
\(511\) | −1.60826e9 | − | 9.12090e9i | −0.533192 | − | 3.02388i | ||||
\(512\) | 1.34218e8 | 0.0441942 | ||||||||
\(513\) | 1.14903e9 | + | 1.11016e9i | 0.375770 | + | 0.363056i | ||||
\(514\) | −2.14710e9 | −0.697398 | ||||||||
\(515\) | −1.26370e9 | − | 7.16679e9i | −0.407679 | − | 2.31206i | ||||
\(516\) | 3.16946e8 | − | 2.65949e8i | 0.101557 | − | 0.0852166i | ||||
\(517\) | −5.16440e8 | + | 1.87969e8i | −0.164363 | + | 0.0598231i | ||||
\(518\) | −3.35219e9 | − | 1.22010e9i | −1.05968 | − | 0.385691i | ||||
\(519\) | 1.06349e9 | + | 8.92377e8i | 0.333925 | + | 0.280196i | ||||
\(520\) | 1.17926e9 | − | 2.04253e9i | 0.367787 | − | 0.637026i | ||||
\(521\) | 8.88255e8 | + | 1.53850e9i | 0.275173 | + | 0.476613i | 0.970179 | − | 0.242391i | \(-0.0779316\pi\) |
−0.695006 | + | 0.719004i | \(0.744598\pi\) | |||||||
\(522\) | −1.50372e8 | + | 8.52802e8i | −0.0462722 | + | 0.262423i | ||||
\(523\) | −8.31644e8 | + | 4.71649e9i | −0.254204 | + | 1.44166i | 0.543905 | + | 0.839147i | \(0.316945\pi\) |
−0.798109 | + | 0.602513i | \(0.794166\pi\) | |||||||
\(524\) | 3.10411e8 | + | 5.37648e8i | 0.0942493 | + | 0.163245i | ||||
\(525\) | −1.35257e9 | + | 2.34272e9i | −0.407945 | + | 0.706582i | ||||
\(526\) | −7.79003e8 | − | 6.53661e8i | −0.233394 | − | 0.195840i | ||||
\(527\) | −1.33527e9 | − | 4.85997e8i | −0.397403 | − | 0.144643i | ||||
\(528\) | 3.46973e7 | − | 1.26288e7i | 0.0102583 | − | 0.00373373i | ||||
\(529\) | −1.00342e9 | + | 8.41973e8i | −0.294707 | + | 0.247288i | ||||
\(530\) | 8.02945e8 | + | 4.55373e9i | 0.234272 | + | 1.32862i | ||||
\(531\) | −3.42645e9 | −0.993148 | ||||||||
\(532\) | −3.38364e8 | − | 3.22698e9i | −0.0974300 | − | 0.929194i | ||||
\(533\) | 2.04893e9 | 0.586113 | ||||||||
\(534\) | 1.44614e8 | + | 8.20148e8i | 0.0410976 | + | 0.233076i | ||||
\(535\) | 4.06275e9 | − | 3.40905e9i | 1.14705 | − | 0.962489i | ||||
\(536\) | 6.10359e8 | − | 2.22152e8i | 0.171202 | − | 0.0623124i | ||||
\(537\) | −1.67080e8 | − | 6.08122e7i | −0.0465602 | − | 0.0169465i | ||||
\(538\) | 2.40073e9 | + | 2.01445e9i | 0.664668 | + | 0.557722i | ||||
\(539\) | −7.29154e8 | + | 1.26293e9i | −0.200566 | + | 0.347391i | ||||
\(540\) | 7.72177e8 | + | 1.33745e9i | 0.211027 | + | 0.365510i | ||||
\(541\) | −5.50143e6 | + | 3.12002e7i | −0.00149378 | + | 0.00847162i | −0.985546 | − | 0.169411i | \(-0.945814\pi\) |
0.984052 | + | 0.177882i | \(0.0569247\pi\) | |||||||
\(542\) | 6.73764e7 | − | 3.82110e8i | 0.0181765 | − | 0.103084i | ||||
\(543\) | −5.55236e8 | − | 9.61698e8i | −0.148826 | − | 0.257774i | ||||
\(544\) | −3.57377e8 | + | 6.18995e8i | −0.0951766 | + | 0.164851i | ||||
\(545\) | 9.04147e8 | + | 7.58670e8i | 0.239250 | + | 0.200754i | ||||
\(546\) | −1.64952e9 | − | 6.00375e8i | −0.433693 | − | 0.157851i | ||||
\(547\) | 2.13328e9 | − | 7.76451e8i | 0.557304 | − | 0.202842i | −0.0479846 | − | 0.998848i | \(-0.515280\pi\) |
0.605289 | + | 0.796006i | \(0.293058\pi\) | |||||||
\(548\) | −4.69247e8 | + | 3.93745e8i | −0.121806 | + | 0.102208i | ||||
\(549\) | −5.59945e8 | − | 3.17561e9i | −0.144425 | − | 0.819075i | ||||
\(550\) | 7.15078e8 | 0.183267 | ||||||||
\(551\) | 1.66569e8 | + | 1.58857e9i | 0.0424192 | + | 0.404554i | ||||
\(552\) | 2.97247e8 | 0.0752196 | ||||||||
\(553\) | 1.69185e9 | + | 9.59493e9i | 0.425425 | + | 2.41270i | ||||
\(554\) | 1.90810e9 | − | 1.60109e9i | 0.476779 | − | 0.400065i | ||||
\(555\) | 1.41530e9 | − | 5.15127e8i | 0.351417 | − | 0.127905i | ||||
\(556\) | 1.71031e7 | + | 6.22500e6i | 0.00421999 | + | 0.00153595i | ||||
\(557\) | −2.03162e9 | − | 1.70473e9i | −0.498136 | − | 0.417986i | 0.358795 | − | 0.933416i | \(-0.383188\pi\) |
−0.856932 | + | 0.515430i | \(0.827632\pi\) | |||||||
\(558\) | 5.27958e8 | − | 9.14450e8i | 0.128641 | − | 0.222813i | ||||
\(559\) | 2.59971e9 | + | 4.50284e9i | 0.629483 | + | 1.09030i | ||||
\(560\) | 5.44611e8 | − | 3.08864e9i | 0.131047 | − | 0.743206i | ||||
\(561\) | −3.41450e7 | + | 1.93646e8i | −0.00816502 | + | 0.0463061i | ||||
\(562\) | 1.76151e9 | + | 3.05103e9i | 0.418609 | + | 0.725052i | ||||
\(563\) | 2.84292e9 | − | 4.92408e9i | 0.671405 | − | 1.16291i | −0.306100 | − | 0.951999i | \(-0.599024\pi\) |
0.977506 | − | 0.210909i | \(-0.0676424\pi\) | |||||||
\(564\) | −4.80884e8 | − | 4.03510e8i | −0.112866 | − | 0.0947060i | ||||
\(565\) | −3.72014e9 | − | 1.35402e9i | −0.867741 | − | 0.315832i | ||||
\(566\) | 2.96248e9 | − | 1.07825e9i | 0.686749 | − | 0.249956i | ||||
\(567\) | −4.87548e9 | + | 4.09101e9i | −1.12325 | + | 0.942519i | ||||
\(568\) | 4.52870e8 | + | 2.56835e9i | 0.103694 | + | 0.588079i | ||||
\(569\) | −4.20361e9 | −0.956598 | −0.478299 | − | 0.878197i | \(-0.658747\pi\) | ||||
−0.478299 | + | 0.878197i | \(0.658747\pi\) | |||||||
\(570\) | 9.85194e8 | + | 9.51861e8i | 0.222823 | + | 0.215284i | ||||
\(571\) | 5.13828e9 | 1.15502 | 0.577512 | − | 0.816382i | \(-0.304023\pi\) | ||||
0.577512 | + | 0.816382i | \(0.304023\pi\) | |||||||
\(572\) | 8.05759e7 | + | 4.56969e8i | 0.0180019 | + | 0.102094i | ||||
\(573\) | −2.12881e8 | + | 1.78628e8i | −0.0472711 | + | 0.0396651i | ||||
\(574\) | 2.56029e9 | − | 9.31871e8i | 0.565065 | − | 0.205667i | ||||
\(575\) | 5.40937e9 | + | 1.96885e9i | 1.18661 | + | 0.431892i | ||||
\(576\) | −4.06872e8 | − | 3.41406e8i | −0.0887113 | − | 0.0744376i | ||||
\(577\) | −3.11524e9 | + | 5.39575e9i | −0.675112 | + | 1.16933i | 0.301324 | + | 0.953522i | \(0.402571\pi\) |
−0.976436 | + | 0.215807i | \(0.930762\pi\) | |||||||
\(578\) | −2.61795e8 | − | 4.53442e8i | −0.0563915 | − | 0.0976730i | ||||
\(579\) | 3.48830e8 | − | 1.97831e9i | 0.0746859 | − | 0.423565i | ||||
\(580\) | −2.68100e8 | + | 1.52047e9i | −0.0570556 | + | 0.323578i | ||||
\(581\) | −2.58382e9 | − | 4.47530e9i | −0.546569 | − | 0.946686i | ||||
\(582\) | 2.24147e8 | − | 3.88233e8i | 0.0471305 | − | 0.0816324i | ||||
\(583\) | −6.96893e8 | − | 5.84763e8i | −0.145655 | − | 0.122219i | ||||
\(584\) | −2.62778e9 | − | 9.56432e8i | −0.545938 | − | 0.198705i | ||||
\(585\) | −8.77037e9 | + | 3.19215e9i | −1.81122 | + | 0.659232i | ||||
\(586\) | 3.22381e9 | − | 2.70510e9i | 0.661802 | − | 0.555318i | ||||
\(587\) | 1.92621e8 | + | 1.09241e9i | 0.0393069 | + | 0.222921i | 0.998133 | − | 0.0610720i | \(-0.0194519\pi\) |
−0.958826 | + | 0.283993i | \(0.908341\pi\) | |||||||
\(588\) | −1.66572e9 | −0.337894 | ||||||||
\(589\) | 4.71649e8 | − | 1.88969e9i | 0.0951076 | − | 0.381055i | ||||
\(590\) | −6.10905e9 | −1.22459 | ||||||||
\(591\) | −4.71909e8 | − | 2.67633e9i | −0.0940377 | − | 0.533314i | ||||
\(592\) | −8.25111e8 | + | 6.92351e8i | −0.163451 | + | 0.137151i | ||||
\(593\) | 1.48302e9 | − | 5.39774e8i | 0.292048 | − | 0.106297i | −0.191841 | − | 0.981426i | \(-0.561446\pi\) |
0.483890 | + | 0.875129i | \(0.339224\pi\) | |||||||
\(594\) | −2.85515e8 | − | 1.03919e8i | −0.0558955 | − | 0.0203443i | ||||
\(595\) | 1.27943e10 | + | 1.07357e10i | 2.49005 | + | 2.08940i | ||||
\(596\) | 4.24395e8 | − | 7.35073e8i | 0.0821123 | − | 0.142223i | ||||
\(597\) | 8.94764e8 | + | 1.54978e9i | 0.172107 | + | 0.298098i | ||||
\(598\) | −6.48653e8 | + | 3.67870e9i | −0.124039 | + | 0.703461i | ||||
\(599\) | −7.23308e8 | + | 4.10208e9i | −0.137508 | + | 0.779849i | 0.835572 | + | 0.549382i | \(0.185137\pi\) |
−0.973080 | + | 0.230468i | \(0.925974\pi\) | |||||||
\(600\) | 4.08390e8 | + | 7.07353e8i | 0.0771874 | + | 0.133692i | ||||
\(601\) | −3.96326e9 | + | 6.86457e9i | −0.744719 | + | 1.28989i | 0.205607 | + | 0.978635i | \(0.434083\pi\) |
−0.950326 | + | 0.311256i | \(0.899250\pi\) | |||||||
\(602\) | 5.29648e9 | + | 4.44427e9i | 0.989463 | + | 0.830258i | ||||
\(603\) | −2.41534e9 | − | 8.79113e8i | −0.448609 | − | 0.163280i | ||||
\(604\) | −2.12366e9 | + | 7.72948e8i | −0.392153 | + | 0.142732i | ||||
\(605\) | 6.56599e9 | − | 5.50952e9i | 1.20547 | − | 1.01151i | ||||
\(606\) | 2.00972e8 | + | 1.13977e9i | 0.0366845 | + | 0.208048i | ||||
\(607\) | −5.55604e9 | −1.00833 | −0.504167 | − | 0.863606i | \(-0.668200\pi\) | ||||
−0.504167 | + | 0.863606i | \(0.668200\pi\) | |||||||
\(608\) | −8.94891e8 | − | 3.98696e8i | −0.161476 | − | 0.0719415i | ||||
\(609\) | 1.14910e9 | 0.206157 | ||||||||
\(610\) | −9.98330e8 | − | 5.66181e9i | −0.178082 | − | 1.00995i | ||||
\(611\) | 6.04318e9 | − | 5.07083e9i | 1.07182 | − | 0.899362i | ||||
\(612\) | 2.65788e9 | − | 9.67390e8i | 0.468712 | − | 0.170597i | ||||
\(613\) | 5.66090e9 | + | 2.06040e9i | 0.992599 | + | 0.361276i | 0.786726 | − | 0.617302i | \(-0.211774\pi\) |
0.205873 | + | 0.978579i | \(0.433997\pi\) | |||||||
\(614\) | −2.25887e9 | − | 1.89541e9i | −0.393823 | − | 0.330457i | ||||
\(615\) | −5.75167e8 | + | 9.96219e8i | −0.0997083 | + | 0.172700i | ||||
\(616\) | 3.08520e8 | + | 5.34372e8i | 0.0531802 | + | 0.0921109i | ||||
\(617\) | 4.90835e8 | − | 2.78366e9i | 0.0841273 | − | 0.477110i | −0.913414 | − | 0.407031i | \(-0.866564\pi\) |
0.997541 | − | 0.0700784i | \(-0.0223249\pi\) | |||||||
\(618\) | −2.83983e8 | + | 1.61055e9i | −0.0483986 | + | 0.274482i | ||||
\(619\) | 2.47923e9 | + | 4.29414e9i | 0.420145 | + | 0.727712i | 0.995953 | − | 0.0898728i | \(-0.0286460\pi\) |
−0.575809 | + | 0.817584i | \(0.695313\pi\) | |||||||
\(620\) | 9.41300e8 | − | 1.63038e9i | 0.158620 | − | 0.274737i | ||||
\(621\) | −1.87372e9 | − | 1.57224e9i | −0.313967 | − | 0.263450i | ||||
\(622\) | −1.19502e9 | − | 4.34951e8i | −0.199117 | − | 0.0724726i | ||||
\(623\) | −1.30776e10 | + | 4.75987e9i | −2.16681 | + | 0.788655i | ||||
\(624\) | −4.06014e8 | + | 3.40686e8i | −0.0668952 | + | 0.0561318i | ||||
\(625\) | −1.93355e7 | − | 1.09657e8i | −0.00316792 | − | 0.0179662i | ||||
\(626\) | −1.75030e9 | −0.285170 | ||||||||
\(627\) | −2.68857e8 | − | 1.88671e7i | −0.0435597 | − | 0.00305681i | ||||
\(628\) | −4.22833e9 | −0.681256 | ||||||||
\(629\) | −9.96037e8 | − | 5.64881e9i | −0.159587 | − | 0.905064i | ||||
\(630\) | −9.50744e9 | + | 7.97769e9i | −1.51486 | + | 1.27112i | ||||
\(631\) | 4.41760e9 | − | 1.60788e9i | 0.699977 | − | 0.254771i | 0.0325762 | − | 0.999469i | \(-0.489629\pi\) |
0.667401 | + | 0.744698i | \(0.267407\pi\) | |||||||
\(632\) | 2.76435e9 | + | 1.00614e9i | 0.435595 | + | 0.158544i | ||||
\(633\) | −3.31196e8 | − | 2.77906e8i | −0.0519006 | − | 0.0435498i | ||||
\(634\) | −1.07141e9 | + | 1.85574e9i | −0.166973 | + | 0.289205i | ||||
\(635\) | −1.53366e9 | − | 2.65638e9i | −0.237696 | − | 0.411701i | ||||
\(636\) | 1.80441e8 | − | 1.02333e9i | 0.0278122 | − | 0.157731i | ||||
\(637\) | 3.63493e9 | − | 2.06147e10i | 0.557196 | − | 3.16002i | ||||
\(638\) | −1.51877e8 | − | 2.63059e8i | −0.0231537 | − | 0.0401034i | ||||
\(639\) | 5.16020e9 | − | 8.93773e9i | 0.782373 | − | 1.35511i | ||||
\(640\) | −7.25415e8 | − | 6.08695e8i | −0.109385 | − | 0.0917846i | ||||
\(641\) | 7.38171e9 | + | 2.68672e9i | 1.10702 | + | 0.402921i | 0.829898 | − | 0.557915i | \(-0.188398\pi\) |
0.277118 | + | 0.960836i | \(0.410621\pi\) | |||||||
\(642\) | −1.11996e9 | + | 4.07631e8i | −0.167043 | + | 0.0607987i | ||||
\(643\) | −1.62492e9 | + | 1.36347e9i | −0.241043 | + | 0.202259i | −0.755304 | − | 0.655375i | \(-0.772511\pi\) |
0.514261 | + | 0.857634i | \(0.328066\pi\) | |||||||
\(644\) | 8.62562e8 | + | 4.89183e9i | 0.127259 | + | 0.721724i | ||||
\(645\) | −2.91913e9 | −0.428346 | ||||||||
\(646\) | 4.22153e9 | − | 3.06553e9i | 0.616107 | − | 0.447395i | ||||
\(647\) | −7.07566e9 | −1.02707 | −0.513537 | − | 0.858067i | \(-0.671665\pi\) | ||||
−0.513537 | + | 0.858067i | \(0.671665\pi\) | |||||||
\(648\) | 3.33695e8 | + | 1.89248e9i | 0.0481767 | + | 0.273224i | ||||
\(649\) | 9.20713e8 | − | 7.72570e8i | 0.132211 | − | 0.110938i | ||||
\(650\) | −9.64530e9 | + | 3.51060e9i | −1.37759 | + | 0.501401i | ||||
\(651\) | −1.31667e9 | − | 4.79228e8i | −0.187044 | − | 0.0680784i | ||||
\(652\) | 9.66758e8 | + | 8.11206e8i | 0.136600 | + | 0.114621i | ||||
\(653\) | −1.96193e9 | + | 3.39815e9i | −0.275731 | + | 0.477581i | −0.970319 | − | 0.241827i | \(-0.922253\pi\) |
0.694588 | + | 0.719408i | \(0.255587\pi\) | |||||||
\(654\) | −1.32618e8 | − | 2.29702e8i | −0.0185388 | − | 0.0321102i | ||||
\(655\) | 7.60607e8 | − | 4.31362e9i | 0.105759 | − | 0.599787i | ||||
\(656\) | 1.42853e8 | − | 8.10162e8i | 0.0197573 | − | 0.112049i | ||||
\(657\) | 5.53307e9 | + | 9.58356e9i | 0.761180 | + | 1.31840i | ||||
\(658\) | 5.24516e9 | − | 9.08489e9i | 0.717742 | − | 1.24317i | ||||
\(659\) | −3.02275e9 | − | 2.53639e9i | −0.411437 | − | 0.345236i | 0.413458 | − | 0.910523i | \(-0.364321\pi\) |
−0.824894 | + | 0.565287i | \(0.808765\pi\) | |||||||
\(660\) | −2.44804e8 | − | 8.91014e7i | −0.0331448 | − | 0.0120637i | ||||
\(661\) | 1.33826e10 | − | 4.87088e9i | 1.80234 | − | 0.655998i | 0.804244 | − | 0.594299i | \(-0.202570\pi\) |
0.998095 | − | 0.0616988i | \(-0.0196518\pi\) | |||||||
\(662\) | −4.89597e9 | + | 4.10820e9i | −0.655897 | + | 0.550363i | ||||
\(663\) | −4.90122e8 | − | 2.77962e9i | −0.0653141 | − | 0.370414i | ||||
\(664\) | −1.56030e9 | −0.206833 | ||||||||
\(665\) | −1.28060e10 | + | 1.89756e10i | −1.68865 | + | 2.50219i | ||||
\(666\) | 4.26238e9 | 0.559104 | ||||||||
\(667\) | −4.24620e8 | − | 2.40814e9i | −0.0554064 | − | 0.314225i | ||||
\(668\) | 5.43192e9 | − | 4.55792e9i | 0.705075 | − | 0.591629i | ||||
\(669\) | 1.16743e9 | − | 4.24908e8i | 0.150743 | − | 0.0548660i | ||||
\(670\) | −4.30633e9 | − | 1.56738e9i | −0.553154 | − | 0.201331i | ||||
\(671\) | 8.66472e8 | + | 7.27056e8i | 0.110720 | + | 0.0929051i | ||||
\(672\) | −3.52399e8 | + | 6.10374e8i | −0.0447963 | + | 0.0775895i | ||||
\(673\) | −5.53476e9 | − | 9.58649e9i | −0.699917 | − | 1.21229i | −0.968495 | − | 0.249034i | \(-0.919887\pi\) |
0.268578 | − | 0.963258i | \(-0.413446\pi\) | |||||||
\(674\) | 5.30060e8 | − | 3.00612e9i | 0.0666830 | − | 0.378178i | ||||
\(675\) | 1.16710e9 | − | 6.61896e9i | 0.146065 | − | 0.828375i | ||||
\(676\) | −1.32234e9 | − | 2.29035e9i | −0.164637 | − | 0.285160i | ||||
\(677\) | 4.57989e9 | − | 7.93259e9i | 0.567276 | − | 0.982551i | −0.429558 | − | 0.903039i | \(-0.641331\pi\) |
0.996834 | − | 0.0795113i | \(-0.0253360\pi\) | |||||||
\(678\) | 6.81517e8 | + | 5.71861e8i | 0.0839794 | + | 0.0704671i | ||||
\(679\) | 7.03964e9 | + | 2.56222e9i | 0.862991 | + | 0.314103i | ||||
\(680\) | 4.73876e9 | − | 1.72477e9i | 0.577941 | − | 0.210353i | ||||
\(681\) | −1.13754e9 | + | 9.54513e8i | −0.138024 | + | 0.115816i | ||||
\(682\) | 6.43169e7 | + | 3.64759e8i | 0.00776389 | + | 0.0440312i | ||||
\(683\) | −9.60067e8 | −0.115300 | −0.0576500 | − | 0.998337i | \(-0.518361\pi\) | ||||
−0.0576500 | + | 0.998337i | \(0.518361\pi\) | |||||||
\(684\) | 1.69865e9 | + | 3.48493e9i | 0.202958 | + | 0.416387i | ||||
\(685\) | 4.32185e9 | 0.513751 | ||||||||
\(686\) | −2.89364e9 | − | 1.64107e10i | −0.342224 | − | 1.94085i | ||||
\(687\) | −2.77802e8 | + | 2.33103e8i | −0.0326878 | + | 0.0274284i | ||||
\(688\) | 1.96171e9 | − | 7.14005e8i | 0.229655 | − | 0.0835875i | ||||
\(689\) | 1.22709e10 | + | 4.46623e9i | 1.42925 | + | 0.520204i | ||||
\(690\) | −1.60655e9 | − | 1.34806e9i | −0.186175 | − | 0.156220i | ||||
\(691\) | 3.06336e9 | − | 5.30589e9i | 0.353203 | − | 0.611766i | −0.633606 | − | 0.773656i | \(-0.718426\pi\) |
0.986809 | + | 0.161890i | \(0.0517591\pi\) | |||||||
\(692\) | 3.50243e9 | + | 6.06639e9i | 0.401789 | + | 0.695919i | ||||
\(693\) | 4.24010e8 | − | 2.40468e9i | 0.0483961 | − | 0.274468i | ||||
\(694\) | −1.18865e9 | + | 6.74118e9i | −0.134988 | + | 0.765558i | ||||
\(695\) | −6.42067e7 | − | 1.11209e8i | −0.00725493 | − | 0.0125659i | ||||
\(696\) | 1.73478e8 | − | 3.00473e8i | 0.0195035 | − | 0.0337810i | ||||
\(697\) | 3.35599e9 | + | 2.81601e9i | 0.375410 | + | 0.315007i | ||||
\(698\) | −6.88912e9 | − | 2.50743e9i | −0.766778 | − | 0.279084i | ||||
\(699\) | −2.30177e9 | + | 8.37776e8i | −0.254913 | + | 0.0927807i | ||||
\(700\) | −1.04559e10 | + | 8.77355e9i | −1.15218 | + | 0.966790i | ||||
\(701\) | 1.87922e9 | + | 1.06576e10i | 0.206046 | + | 1.16854i | 0.895785 | + | 0.444487i | \(0.146614\pi\) |
−0.689739 | + | 0.724058i | \(0.742275\pi\) | |||||||
\(702\) | 4.36134e9 | 0.475818 | ||||||||
\(703\) | 7.55803e9 | − | 2.16521e9i | 0.820474 | − | 0.235048i | ||||
\(704\) | 1.86307e8 | 0.0201245 | ||||||||
\(705\) | 7.69094e8 | + | 4.36175e9i | 0.0826642 | + | 0.468812i | ||||
\(706\) | −3.90588e9 | + | 3.27742e9i | −0.417737 | + | 0.350523i | ||||
\(707\) | −1.81742e10 | + | 6.61485e9i | −1.93413 | + | 0.703967i | ||||
\(708\) | 1.29006e9 | + | 4.69542e8i | 0.136613 | + | 0.0497231i | ||||
\(709\) | −5.27787e9 | − | 4.42866e9i | −0.556156 | − | 0.466670i | 0.320863 | − | 0.947126i | \(-0.396027\pi\) |
−0.877019 | + | 0.480455i | \(0.840471\pi\) | |||||||
\(710\) | 9.20016e9 | − | 1.59351e10i | 0.964698 | − | 1.67091i | ||||
\(711\) | −5.82063e9 | − | 1.00816e10i | −0.607333 | − | 1.05193i | ||||
\(712\) | −7.29676e8 | + | 4.13820e9i | −0.0757617 | + | 0.429666i | ||||
\(713\) | −5.17765e8 | + | 2.93639e9i | −0.0534957 | + | 0.303389i | ||||
\(714\) | −1.87664e9 | − | 3.25044e9i | −0.192947 | − | 0.334194i | ||||
\(715\) | 1.63692e9 | − | 2.83523e9i | 0.167477 | − | 0.290079i | ||||
\(716\) | −6.87245e8 | − | 5.76667e8i | −0.0699707 | − | 0.0587124i | ||||
\(717\) | −1.50549e9 | − | 5.47952e8i | −0.152532 | − | 0.0555169i | ||||
\(718\) | 8.80686e7 | − | 3.20544e7i | 0.00887944 | − | 0.00323185i | ||||
\(719\) | −4.66166e9 | + | 3.91160e9i | −0.467724 | + | 0.392467i | −0.845963 | − | 0.533241i | \(-0.820974\pi\) |
0.378240 | + | 0.925708i | \(0.376529\pi\) | |||||||
\(720\) | 6.50723e8 | + | 3.69043e9i | 0.0649729 | + | 0.368480i | ||||
\(721\) | −2.73291e10 | −2.71551 | ||||||||
\(722\) | 4.78231e9 | + | 5.31657e9i | 0.472887 | + | 0.525717i | ||||
\(723\) | −2.67907e9 | −0.263633 | ||||||||
\(724\) | −9.72964e8 | − | 5.51795e9i | −0.0952822 | − | 0.540372i | ||||
\(725\) | 5.14721e9 | − | 4.31902e9i | 0.501636 | − | 0.420922i | ||||
\(726\) | −1.81001e9 | + | 6.58789e8i | −0.175551 | + | 0.0638952i | ||||
\(727\) | −3.19927e9 | − | 1.16444e9i | −0.308802 | − | 0.112395i | 0.182971 | − | 0.983118i | \(-0.441429\pi\) |
−0.491773 | + | 0.870724i | \(0.663651\pi\) | |||||||
\(728\) | −6.78490e9 | − | 5.69321e9i | −0.651754 | − | 0.546887i | ||||
\(729\) | 3.06106e9 | − | 5.30191e9i | 0.292634 | − | 0.506857i | ||||
\(730\) | 9.86495e9 | + | 1.70866e10i | 0.938566 | + | 1.62564i | ||||
\(731\) | −1.93048e9 | + | 1.09483e10i | −0.182791 | + | 1.03666i | ||||
\(732\) | −2.24349e8 | + | 1.27234e9i | −0.0211414 | + | 0.119899i | ||||
\(733\) | 5.61319e9 | + | 9.72233e9i | 0.526437 | + | 0.911815i | 0.999526 | + | 0.0308002i | \(0.00980556\pi\) |
−0.473089 | + | 0.881015i | \(0.656861\pi\) | |||||||
\(734\) | −2.77510e9 | + | 4.80662e9i | −0.259026 | + | 0.448646i | ||||
\(735\) | 9.00280e9 | + | 7.55425e9i | 0.836319 | + | 0.701755i | ||||
\(736\) | 1.40936e9 | + | 5.12966e8i | 0.130302 | + | 0.0474259i | ||||
\(737\) | 8.47236e8 | − | 3.08369e8i | 0.0779593 | − | 0.0283749i | ||||
\(738\) | −2.49384e9 | + | 2.09258e9i | −0.228387 | + | 0.191639i | ||||
\(739\) | 1.23892e9 | + | 7.02626e9i | 0.112924 | + | 0.640425i | 0.987757 | + | 0.156000i | \(0.0498600\pi\) |
−0.874833 | + | 0.484425i | \(0.839029\pi\) | |||||||
\(740\) | 7.59943e9 | 0.689398 | ||||||||
\(741\) | 3.71910e9 | − | 1.06544e9i | 0.335794 | − | 0.0961977i | ||||
\(742\) | 1.73647e10 | 1.56046 | ||||||||
\(743\) | 1.62815e8 | + | 9.23368e8i | 0.0145624 | + | 0.0825874i | 0.991223 | − | 0.132202i | \(-0.0422047\pi\) |
−0.976660 | + | 0.214789i | \(0.931094\pi\) | |||||||
\(744\) | −3.24087e8 | + | 2.71941e8i | −0.0288507 | + | 0.0242086i | ||||
\(745\) | −5.62741e9 | + | 2.04821e9i | −0.498610 | + | 0.181479i | ||||
\(746\) | −8.99936e9 | − | 3.27550e9i | −0.793644 | − | 0.288863i | ||||
\(747\) | 4.72994e9 | + | 3.96889e9i | 0.415177 | + | 0.348375i | ||||
\(748\) | −4.96073e8 | + | 8.59223e8i | −0.0433401 | + | 0.0750672i | ||||
\(749\) | −9.95836e9 | − | 1.72484e10i | −0.865967 | − | 1.49990i | ||||
\(750\) | 3.79082e8 | − | 2.14988e9i | 0.0328110 | − | 0.186080i | ||||
\(751\) | −1.99961e9 | + | 1.13403e10i | −0.172268 | + | 0.976981i | 0.768982 | + | 0.639271i | \(0.220764\pi\) |
−0.941250 | + | 0.337710i | \(0.890348\pi\) | |||||||
\(752\) | −1.58371e9 | − | 2.74306e9i | −0.135804 | − | 0.235220i | ||||
\(753\) | 1.92693e9 | − | 3.33754e9i | 0.164469 | − | 0.284868i | ||||
\(754\) | 3.34005e9 | + | 2.80264e9i | 0.283762 | + | 0.238104i | ||||
\(755\) | 1.49833e10 | + | 5.45347e9i | 1.26705 | + | 0.461167i | ||||
\(756\) | 5.44984e9 | − | 1.98358e9i | 0.458731 | − | 0.166964i | ||||
\(757\) | −3.24335e9 | + | 2.72150e9i | −0.271743 | + | 0.228020i | −0.768468 | − | 0.639889i | \(-0.778980\pi\) |
0.496724 | + | 0.867908i | \(0.334536\pi\) | |||||||
\(758\) | 1.25725e9 | + | 7.13024e9i | 0.104853 | + | 0.594651i | ||||
\(759\) | 4.12607e8 | 0.0342524 | ||||||||
\(760\) | 3.02853e9 | + | 6.21330e9i | 0.250256 | + | 0.513423i | ||||
\(761\) | 1.05189e10 | 0.865217 | 0.432608 | − | 0.901582i | \(-0.357593\pi\) | ||||
0.432608 | + | 0.901582i | \(0.357593\pi\) | |||||||
\(762\) | 1.19696e8 | + | 6.78828e8i | 0.00980022 | + | 0.0555798i | ||||
\(763\) | 3.39540e9 | − | 2.84908e9i | 0.276729 | − | 0.232203i | ||||
\(764\) | −1.31761e9 | + | 4.79571e8i | −0.106896 | + | 0.0389069i | ||||
\(765\) | −1.87525e10 | − | 6.82534e9i | −1.51441 | − | 0.551200i | ||||
\(766\) | 5.53020e8 | + | 4.64039e8i | 0.0444570 | + | 0.0373038i | ||||
\(767\) | −8.62616e9 | + | 1.49409e10i | −0.690293 | + | 1.19562i | ||||
\(768\) | 1.06402e8 | + | 1.84294e8i | 0.00847592 | + | 0.0146807i | ||||
\(769\) | −1.75411e9 | + | 9.94806e9i | −0.139096 | + | 0.788853i | 0.832823 | + | 0.553539i | \(0.186723\pi\) |
−0.971919 | + | 0.235314i | \(0.924388\pi\) | |||||||
\(770\) | 7.55971e8 | − | 4.28733e9i | 0.0596744 | − | 0.338430i | ||||
\(771\) | −1.70213e9 | − | 2.94818e9i | −0.133753 | − | 0.231667i | ||||
\(772\) | 5.06795e9 | − | 8.77794e9i | 0.396435 | − | 0.686645i | ||||
\(773\) | 9.00421e9 | + | 7.55543e9i | 0.701160 | + | 0.588343i | 0.922104 | − | 0.386943i | \(-0.126469\pi\) |
−0.220943 | + | 0.975287i | \(0.570914\pi\) | |||||||
\(774\) | −7.76299e9 | − | 2.82550e9i | −0.601777 | − | 0.219029i | ||||
\(775\) | −7.69902e9 | + | 2.80222e9i | −0.594128 | + | 0.216245i | ||||
\(776\) | 1.73275e9 | − | 1.45395e9i | 0.133112 | − | 0.111695i | ||||
\(777\) | −9.82164e8 | − | 5.57013e9i | −0.0751122 | − | 0.425982i | ||||
\(778\) | 9.77821e9 | 0.744442 | ||||||||
\(779\) | −3.35907e9 | + | 4.97737e9i | −0.254588 | + | 0.377241i | ||||
\(780\) | 3.73947e9 | 0.282149 | ||||||||
\(781\) | 6.28626e8 | + | 3.56511e9i | 0.0472187 | + | 0.267790i | ||||
\(782\) | −6.11839e9 | + | 5.13394e9i | −0.457523 | + | 0.383908i | ||||
\(783\) | −2.68283e9 | + | 9.76471e8i | −0.199723 | + | 0.0726931i | ||||
\(784\) | −7.89779e9 | − | 2.87456e9i | −0.585328 | − | 0.213042i | ||||
\(785\) | 2.28531e10 | + | 1.91760e10i | 1.68617 | + | 1.41487i | ||||
\(786\) | −4.92163e8 | + | 8.52452e8i | −0.0361518 | + | 0.0626168i | ||||
\(787\) | −8.27590e9 | − | 1.43343e10i | −0.605206 | − | 1.04825i | −0.992019 | − | 0.126090i | \(-0.959757\pi\) |
0.386813 | − | 0.922158i | \(-0.373576\pi\) | |||||||
\(788\) | 2.38109e9 | − | 1.35039e10i | 0.173354 | − | 0.983142i | ||||
\(789\) | 2.79980e8 | − | 1.58784e9i | 0.0202935 | − | 0.115090i | ||||
\(790\) | −1.03777e10 | − | 1.79746e10i | −0.748866 | − | 1.29707i | ||||
\(791\) | −7.43353e9 | + | 1.28753e10i | −0.534045 | + | 0.924992i | ||||
\(792\) | −5.64776e8 | − | 4.73904e8i | −0.0403960 | − | 0.0338963i | ||||
\(793\) | −1.52568e10 | − | 5.55302e9i | −1.08644 | − | 0.395433i | ||||
\(794\) | 1.67800e10 | − | 6.10740e9i | 1.18965 | − | 0.432997i | ||||
\(795\) | −5.61618e9 | + | 4.71254e9i | −0.396421 | + | 0.332636i | ||||
\(796\) | 1.56793e9 | + | 8.89218e9i | 0.110187 | + | 0.624903i | ||||
\(797\) | −3.07356e9 | −0.215049 | −0.107525 | − | 0.994202i | \(-0.534292\pi\) | ||||
−0.107525 | + | 0.994202i | \(0.534292\pi\) | |||||||
\(798\) | 4.16273e9 | − | 3.02283e9i | 0.289980 | − | 0.210573i | ||||
\(799\) | 1.68675e10 | 1.16987 | ||||||||
\(800\) | 7.15640e8 | + | 4.05859e9i | 0.0494173 | + | 0.280260i | ||||
\(801\) | 1.27382e10 | − | 1.06886e10i | 0.875777 | − | 0.734864i | ||||
\(802\) | 1.26759e10 | − | 4.61364e9i | 0.867697 | − | 0.315816i | ||||
\(803\) | −3.64760e9 | − | 1.32762e9i | −0.248601 | − | 0.0904834i | ||||
\(804\) | 7.88905e8 | + | 6.61970e8i | 0.0535339 | + | 0.0449202i | ||||
\(805\) | 1.75232e10 | − | 3.03510e10i | 1.18393 | − | 2.05063i | ||||
\(806\) | −2.65829e9 | − | 4.60429e9i | −0.178825 | − | 0.309735i | ||||
\(807\) | −8.62840e8 | + | 4.89341e9i | −0.0577927 | + | 0.327759i | ||||
\(808\) | −1.01404e9 | + | 5.75091e9i | −0.0676262 | + | 0.383527i | ||||
\(809\) | −9.51688e9 | − | 1.64837e10i | −0.631938 | − | 1.09455i | −0.987155 | − | 0.159765i | \(-0.948926\pi\) |
0.355217 | − | 0.934784i | \(-0.384407\pi\) | |||||||
\(810\) | 6.77910e9 | − | 1.17417e10i | 0.448203 | − | 0.776310i | ||||
\(811\) | −1.20746e10 | − | 1.01318e10i | −0.794877 | − | 0.666981i | 0.152070 | − | 0.988370i | \(-0.451406\pi\) |
−0.946947 | + | 0.321388i | \(0.895850\pi\) | |||||||
\(812\) | 5.44832e9 | + | 1.98303e9i | 0.357122 | + | 0.129982i | ||||
\(813\) | 5.78089e8 | − | 2.10407e8i | 0.0377292 | − | 0.0137323i | ||||
\(814\) | −1.14533e9 | + | 9.61048e8i | −0.0744297 | + | 0.0624539i | ||||
\(815\) | −1.54617e9 | − | 8.76875e9i | −0.100047 | − | 0.567395i | ||||
\(816\) | −1.13326e9 | −0.0730150 | ||||||||
\(817\) | −1.52006e10 | − | 1.06670e9i | −0.975176 | − | 0.0684331i | ||||
\(818\) | −1.28995e10 | −0.824016 | ||||||||
\(819\) | 6.08630e9 | + | 3.45171e10i | 0.387133 | + | 2.19554i | ||||
\(820\) | −4.44628e9 | + | 3.73087e9i | −0.281610 | + | 0.236299i | ||||
\(821\) | 5.14232e9 | − | 1.87165e9i | 0.324308 | − | 0.118039i | −0.174735 | − | 0.984615i | \(-0.555907\pi\) |
0.499044 | + | 0.866577i | \(0.333685\pi\) | |||||||
\(822\) | −9.12651e8 | − | 3.32178e8i | −0.0573130 | − | 0.0208602i | ||||
\(823\) | 3.61597e9 | + | 3.03416e9i | 0.226113 | + | 0.189731i | 0.748805 | − | 0.662790i | \(-0.230628\pi\) |
−0.522692 | + | 0.852521i | \(0.675072\pi\) | |||||||
\(824\) | −4.12583e9 | + | 7.14614e9i | −0.256901 | + | 0.444966i | ||||
\(825\) | 5.66884e8 | + | 9.81873e8i | 0.0351484 | + | 0.0608788i | ||||
\(826\) | −3.98378e9 | + | 2.25931e10i | −0.245960 | + | 1.39491i | ||||
\(827\) | 3.32061e9 | − | 1.88321e10i | 0.204150 | − | 1.15779i | −0.694623 | − | 0.719374i | \(-0.744429\pi\) |
0.898772 | − | 0.438416i | \(-0.144460\pi\) | |||||||
\(828\) | −2.96756e9 | − | 5.13997e9i | −0.181674 | − | 0.314669i | ||||
\(829\) | −5.04108e8 | + | 8.73141e8i | −0.0307314 | + | 0.0532284i | −0.880982 | − | 0.473150i | \(-0.843117\pi\) |
0.850251 | + | 0.526378i | \(0.176450\pi\) | |||||||
\(830\) | 8.43304e9 | + | 7.07616e9i | 0.511930 | + | 0.429561i | ||||
\(831\) | 3.71112e9 | + | 1.35074e9i | 0.224337 | + | 0.0816520i | ||||
\(832\) | −2.51300e9 | + | 9.14655e8i | −0.151273 | + | 0.0550587i | ||||
\(833\) | 3.42863e10 | − | 2.87696e10i | 2.05524 | − | 1.72455i | ||||
\(834\) | 5.01106e6 | + | 2.84191e7i | 0.000299122 | + | 0.00169640i | ||||
\(835\) | −5.00290e10 | −2.97385 | ||||||||
\(836\) | −1.24219e9 | − | 5.53428e8i | −0.0735304 | − | 0.0327596i | ||||
\(837\) | 3.48129e9 | 0.205211 | ||||||||
\(838\) | 2.80517e8 | + | 1.59089e9i | 0.0164667 | + | 0.0933871i | ||||
\(839\) | 8.91618e9 | − | 7.48156e9i | 0.521209 | − | 0.437346i | −0.343844 | − | 0.939027i | \(-0.611729\pi\) |
0.865053 | + | 0.501681i | \(0.167285\pi\) | |||||||
\(840\) | 4.67276e9 | − | 1.70074e9i | 0.272017 | − | 0.0990060i | ||||
\(841\) | 1.35275e10 | + | 4.92361e9i | 0.784208 | + | 0.285428i | ||||
\(842\) | 3.12112e9 | + | 2.61893e9i | 0.180185 | + | 0.151193i | ||||
\(843\) | −2.79291e9 | + | 4.83747e9i | −0.160569 | + | 0.278113i | ||||
\(844\) | −1.09074e9 | − | 1.88921e9i | −0.0624484 | − | 0.108164i | ||||
\(845\) | −3.24015e9 | + | 1.83758e10i | −0.184742 | + | 1.04772i | ||||
\(846\) | −2.17655e9 | + | 1.23438e10i | −0.123587 | + | 0.700897i | ||||
\(847\) | −1.60941e10 | − | 2.78758e10i | −0.910071 | − | 1.57629i | ||||
\(848\) | 2.62152e9 | − | 4.54061e9i | 0.147628 | − | 0.255699i | ||||
\(849\) | 3.82908e9 | + | 3.21298e9i | 0.214742 | + | 0.180190i | ||||
\(850\) | −2.06232e10 | − | 7.50624e9i | −1.15183 | − | 0.419234i | ||||
\(851\) | −1.13102e10 | + | 4.11658e9i | −0.629097 | + | 0.228973i | ||||
\(852\) | −3.16759e9 | + | 2.65792e9i | −0.175465 | + | 0.147232i | ||||
\(853\) | 2.01232e9 | + | 1.14124e10i | 0.111013 | + | 0.629587i | 0.988647 | + | 0.150256i | \(0.0480097\pi\) |
−0.877634 | + | 0.479331i | \(0.840879\pi\) | |||||||
\(854\) | −2.15901e10 | −1.18619 | ||||||||
\(855\) | 6.62383e9 | − | 2.65388e10i | 0.362433 | − | 1.45211i | ||||
\(856\) | −6.01359e9 | −0.327699 | ||||||||
\(857\) | 9.15282e8 | + | 5.19082e9i | 0.0496732 | + | 0.281711i | 0.999519 | − | 0.0310075i | \(-0.00987159\pi\) |
−0.949846 | + | 0.312718i | \(0.898760\pi\) | |||||||
\(858\) | −5.63586e8 | + | 4.72905e8i | −0.0304617 | + | 0.0255604i | ||||
\(859\) | −2.14535e10 | + | 7.80844e9i | −1.15484 | + | 0.420328i | −0.847252 | − | 0.531191i | \(-0.821745\pi\) |
−0.307590 | + | 0.951519i | \(0.599522\pi\) | |||||||
\(860\) | −1.38407e10 | − | 5.03760e9i | −0.742016 | − | 0.270072i | ||||
\(861\) | 3.30925e9 | + | 2.77679e9i | 0.176693 | + | 0.148263i | ||||
\(862\) | 9.88610e9 | − | 1.71232e10i | 0.525714 | − | 0.910564i | ||||
\(863\) | 3.91799e9 | + | 6.78615e9i | 0.207503 | + | 0.359406i | 0.950927 | − | 0.309414i | \(-0.100133\pi\) |
−0.743424 | + | 0.668820i | \(0.766800\pi\) | |||||||
\(864\) | 3.04078e8 | − | 1.72451e9i | 0.0160393 | − | 0.0909636i | ||||
\(865\) | 8.58207e9 | − | 4.86713e10i | 0.450854 | − | 2.55692i | ||||
\(866\) | 3.92153e9 | + | 6.79229e9i | 0.205184 | + | 0.355389i | ||||
\(867\) | 4.15081e8 | − | 7.18941e8i | 0.0216305 | − | 0.0374650i | ||||
\(868\) | −5.41581e9 | − | 4.54440e9i | −0.281089 | − | 0.235862i | ||||
\(869\) | 3.83717e9 | + | 1.39662e9i | 0.198355 | + | 0.0721952i | ||||
\(870\) | −2.30029e9 | + | 8.37238e8i | −0.118431 | + | 0.0431054i | ||||
\(871\) | −9.91401e9 | + | 8.31884e9i | −0.508377 | + | 0.426579i | ||||
\(872\) | −2.32393e8 | − | 1.31797e9i | −0.0118690 | − | 0.0673126i | ||||
\(873\) | −8.95106e9 | −0.455328 | ||||||||
\(874\) | −7.87308e9 | − | 7.60670e9i | −0.398891 | − | 0.385395i | ||||
\(875\) | 3.64809e10 | 1.84093 | ||||||||
\(876\) | −7.69917e8 | − | 4.36642e9i | −0.0386972 | − | 0.219463i | ||||
\(877\) | 8.35803e9 | − | 7.01322e9i | 0.418413 | − | 0.351090i | −0.409146 | − | 0.912469i | \(-0.634173\pi\) |
0.827559 | + | 0.561379i | \(0.189729\pi\) | |||||||
\(878\) | −2.63325e10 | + | 9.58426e9i | −1.31299 | + | 0.477890i | ||||
\(879\) | 6.27008e9 | + | 2.28212e9i | 0.311395 | + | 0.113339i | ||||
\(880\) | −1.00694e9 | − | 8.44926e8i | −0.0498099 | − | 0.0417955i | ||||
\(881\) | 1.78272e9 | − | 3.08776e9i | 0.0878348 | − | 0.152134i | −0.818761 | − | 0.574135i | \(-0.805339\pi\) |
0.906596 | + | 0.422000i | \(0.138672\pi\) | |||||||
\(882\) | 1.66297e10 | + | 2.88034e10i | 0.816100 | + | 1.41353i | ||||
\(883\) | 1.92869e9 | − | 1.09382e10i | 0.0942759 | − | 0.534665i | −0.900691 | − | 0.434461i | \(-0.856939\pi\) |
0.994967 | − | 0.100205i | \(-0.0319498\pi\) | |||||||
\(884\) | 2.47299e9 | − | 1.40250e10i | 0.120404 | − | 0.682843i | ||||
\(885\) | −4.84301e9 | − | 8.38833e9i | −0.234862 | − | 0.406794i | ||||
\(886\) | −4.39197e8 | + | 7.60712e8i | −0.0212149 | + | 0.0367453i | ||||
\(887\) | 1.79494e10 | + | 1.50613e10i | 0.863609 | + | 0.724654i | 0.962742 | − | 0.270420i | \(-0.0871627\pi\) |
−0.0991336 | + | 0.995074i | \(0.531607\pi\) | |||||||
\(888\) | −1.60478e9 | − | 5.84093e8i | −0.0769078 | − | 0.0279922i | ||||
\(889\) | −1.08242e10 | + | 3.93969e9i | −0.516702 | + | 0.188064i | ||||
\(890\) | 2.27110e10 | − | 1.90568e10i | 1.07987 | − | 0.906118i | ||||
\(891\) | 4.63200e8 | + | 2.62694e9i | 0.0219380 | + | 0.124417i | ||||
\(892\) | 6.26848e9 | 0.295723 | ||||||||
\(893\) | 2.41099e9 | + | 2.29937e10i | 0.113296 | + | 1.08051i | ||||
\(894\) | 1.34577e9 | 0.0629927 | ||||||||
\(895\) | 1.09913e9 | + | 6.23349e9i | 0.0512471 | + | 0.290637i | ||||
\(896\) | −2.72419e9 | + | 2.28587e9i | −0.126520 | + | 0.106163i | ||||
\(897\) | −5.56544e9 | + | 2.02566e9i | −0.257470 | + | 0.0937113i | ||||
\(898\) | −1.08398e10 | − | 3.94538e9i | −0.499523 | − | 0.181811i | ||||
\(899\) | 2.66608e9 | + | 2.23711e9i | 0.122381 | + | 0.102690i | ||||
\(900\) | 8.15432e9 | − | 1.41237e10i | 0.372854 | − | 0.645802i | ||||
\(901\) | 1.39605e10 | + | 2.41802e10i | 0.635862 | + | 1.10135i | ||||
\(902\) | 1.98294e8 | − | 1.12458e9i | 0.00899677 | − | 0.0510232i | ||||
\(903\) | −1.90360e9 | + | 1.07958e10i | −0.0860335 | + | 0.487920i | ||||
\(904\) | 2.24446e9 | + | 3.88751e9i | 0.101047 | + | 0.175018i | ||||
\(905\) | −1.97660e10 | + | 3.42357e10i | −0.886439 | + | 1.53536i | ||||
\(906\) | −2.74488e9 | − | 2.30323e9i | −0.122624 | − | 0.102894i | ||||
\(907\) | 3.13215e10 | + | 1.14001e10i | 1.39385 | + | 0.507321i | 0.926348 | − | 0.376669i | \(-0.122931\pi\) |
0.467505 | + | 0.883990i | \(0.345153\pi\) | |||||||
\(908\) | −7.04075e9 | + | 2.56262e9i | −0.312118 | + | 0.113602i | ||||
\(909\) | 1.77024e10 | − | 1.48541e10i | 0.781733 | − | 0.655952i | ||||
\(910\) | 1.08513e10 | + | 6.15409e10i | 0.477351 | + | 2.70719i | ||||
\(911\) | −8.50734e9 | −0.372803 | −0.186401 | − | 0.982474i | \(-0.559683\pi\) | ||||
−0.186401 | + | 0.982474i | \(0.559683\pi\) | |||||||
\(912\) | −1.61984e8 | − | 1.54484e9i | −0.00707114 | − | 0.0674377i | ||||
\(913\) | −2.16584e9 | −0.0941845 | ||||||||
\(914\) | 2.05555e9 | + | 1.16576e10i | 0.0890466 | + | 0.505008i | ||||
\(915\) | 6.98280e9 | − | 5.85926e9i | 0.301339 | − | 0.252854i | ||||
\(916\) | −1.71943e9 | + | 6.25823e8i | −0.0739182 | + | 0.0269040i | ||||
\(917\) | −1.54571e10 | − | 5.62591e9i | −0.661964 | − | 0.240935i | ||||
\(918\) | 7.14356e9 | + | 5.99416e9i | 0.304765 | + | 0.255728i | ||||
\(919\) | −1.95260e10 | + | 3.38201e10i | −0.829869 | + | 1.43737i | 0.0682719 | + | 0.997667i | \(0.478251\pi\) |
−0.898141 | + | 0.439708i | \(0.855082\pi\) | |||||||
\(920\) | −5.29089e9 | − | 9.16410e9i | −0.224012 | − | 0.388000i | ||||
\(921\) | 8.11854e8 | − | 4.60426e9i | 0.0342428 | − | 0.194201i | ||||
\(922\) | 1.15361e9 | − | 6.54247e9i | 0.0484733 | − | 0.274905i | ||||
\(923\) | −2.59818e10 | − | 4.50018e10i | −1.08758 | − | 1.88375i | ||||
\(924\) | −4.89164e8 | + | 8.47256e8i | −0.0203987 | + | 0.0353316i | ||||
\(925\) | −2.53353e10 | − | 2.12589e10i | −1.05252 | − | 0.883170i | ||||
\(926\) | 2.70077e10 | + | 9.83000e9i | 1.11776 | + | 0.406832i | ||||
\(927\) | 3.06846e10 | − | 1.11683e10i | 1.26515 | − | 0.460476i | ||||
\(928\) | 1.34106e9 | − | 1.12528e9i | 0.0550845 | − | 0.0462214i | ||||
\(929\) | 2.91874e9 | + | 1.65530e10i | 0.119437 | + | 0.677364i | 0.984457 | + | 0.175625i | \(0.0561948\pi\) |
−0.865020 | + | 0.501738i | \(0.832694\pi\) | |||||||
\(930\) | 2.98490e9 | 0.121686 | ||||||||
\(931\) | 4.41192e10 | + | 4.26265e10i | 1.79186 | + | 1.73124i | ||||
\(932\) | −1.23593e10 | −0.500080 | ||||||||
\(933\) | −3.50131e8 | − | 1.98569e9i | −0.0141138 | − | 0.0800434i | ||||
\(934\) | −1.61232e9 | + | 1.35290e9i | −0.0647496 | + | 0.0543314i | ||||
\(935\) | 6.57785e9 | − | 2.39414e9i | 0.263174 | − | 0.0957875i | ||||
\(936\) | 9.94455e9 | + | 3.61952e9i | 0.396387 | + | 0.144273i | ||||
\(937\) | 6.22954e9 | + | 5.22721e9i | 0.247382 | + | 0.207578i | 0.758044 | − | 0.652204i | \(-0.226155\pi\) |
−0.510662 | + | 0.859781i | \(0.670600\pi\) | |||||||
\(938\) | −8.60485e9 | + | 1.49040e10i | −0.340434 | + | 0.589649i | ||||
\(939\) | −1.38757e9 | − | 2.40334e9i | −0.0546922 | − | 0.0947296i | ||||
\(940\) | −3.88059e9 | + | 2.20079e10i | −0.152388 | + | 0.864235i | ||||
\(941\) | −2.20696e7 | + | 1.25163e8i | −0.000863438 | + | 0.00489680i | −0.985236 | − | 0.171199i | \(-0.945236\pi\) |
0.984373 | + | 0.176096i | \(0.0563469\pi\) | |||||||
\(942\) | −3.35205e9 | − | 5.80592e9i | −0.130657 | − | 0.226304i | ||||
\(943\) | 4.59639e9 | − | 7.96118e9i | 0.178495 | − | 0.309162i | ||||
\(944\) | 5.30634e9 | + | 4.45255e9i | 0.205302 | + | 0.172269i | ||||
\(945\) | −3.84509e10 | − | 1.39950e10i | −1.48216 | − | 0.539462i | ||||
\(946\) | 2.72304e9 | − | 9.91106e8i | 0.104577 | − | 0.0380628i | ||||
\(947\) | 2.72029e9 | − | 2.28259e9i | 0.104085 | − | 0.0873381i | −0.589260 | − | 0.807944i | \(-0.700581\pi\) |
0.693345 | + | 0.720606i | \(0.256136\pi\) | |||||||
\(948\) | 8.09932e8 | + | 4.59335e9i | 0.0308759 | + | 0.175106i | ||||
\(949\) | 5.57184e10 | 2.11625 | ||||||||
\(950\) | 7.28462e9 | − | 2.91863e10i | 0.275661 | − | 1.10445i | ||||
\(951\) | −3.39749e9 | −0.128093 | ||||||||
\(952\) | −3.28852e9 | − | 1.86501e10i | −0.123530 | − | 0.700571i | ||||
\(953\) | 1.17781e10 | − | 9.88302e9i | 0.440809 | − | 0.369883i | −0.395203 | − | 0.918594i | \(-0.629326\pi\) |
0.836012 | + | 0.548711i | \(0.184881\pi\) | |||||||
\(954\) | −1.94968e10 | + | 7.09624e9i | −0.727015 | + | 0.264612i | ||||
\(955\) | 9.29629e9 | + | 3.38357e9i | 0.345381 | + | 0.125708i | ||||
\(956\) | −6.19246e9 | − | 5.19609e9i | −0.229224 | − | 0.192342i | ||||
\(957\) | 2.40804e8 | − | 4.17085e8i | 0.00888121 | − | 0.0153827i | ||||
\(958\) | −1.56841e10 | − | 2.71657e10i | −0.576342 | − | 0.998253i | ||||
\(959\) | 2.81833e9 | − | 1.59835e10i | 0.103187 | − | 0.585204i | ||||
\(960\) | 2.60720e8 | − | 1.47862e9i | 0.00951097 | − | 0.0539394i | ||||
\(961\) | 1.16344e10 | + | 2.01514e10i | 0.422876 | + | 0.732443i | ||||
\(962\) | 1.07306e10 | − | 1.85860e10i | 0.388608 | − | 0.673089i | ||||
\(963\) | 1.82298e10 | + | 1.52966e10i | 0.657793 | + | 0.551954i | ||||
\(964\) | −1.27025e10 | − | 4.62332e9i | −0.456687 | − | 0.166220i | ||||
\(965\) | −6.72002e10 | + | 2.44589e10i | −2.40727 | + | 0.876175i | ||||
\(966\) | −6.03317e9 | + | 5.06243e9i | −0.215341 | + | 0.180692i | ||||
\(967\) | −6.82720e9 | − | 3.87190e10i | −0.242801 | − | 1.37699i | −0.825545 | − | 0.564336i | \(-0.809132\pi\) |
0.582744 | − | 0.812656i | \(-0.301979\pi\) | |||||||
\(968\) | −9.71882e9 | −0.344389 | ||||||||
\(969\) | 7.55593e9 | + | 3.36635e9i | 0.266781 | + | 0.118857i | ||||
\(970\) | −1.59589e10 | −0.561439 | ||||||||
\(971\) | −3.51780e9 | − | 1.99504e10i | −0.123312 | − | 0.699335i | −0.982296 | − | 0.187334i | \(-0.940015\pi\) |
0.858985 | − | 0.512001i | \(-0.171096\pi\) | |||||||
\(972\) | −8.06392e9 | + | 6.76644e9i | −0.281653 | + | 0.236335i | ||||
\(973\) | −4.53156e8 | + | 1.64935e8i | −0.0157708 | + | 0.00574009i | ||||
\(974\) | −2.07019e10 | − | 7.53487e9i | −0.717883 | − | 0.261288i | ||||
\(975\) | −1.24668e10 | − | 1.04609e10i | −0.430764 | − | 0.361454i | ||||
\(976\) | −3.25943e9 | + | 5.64550e9i | −0.112219 | + | 0.194369i | ||||
\(977\) | 1.28868e10 | + | 2.23206e10i | 0.442093 | + | 0.765727i | 0.997845 | − | 0.0656212i | \(-0.0209029\pi\) |
−0.555752 | + | 0.831348i | \(0.687570\pi\) | |||||||
\(978\) | −3.47460e8 | + | 1.97055e9i | −0.0118773 | + | 0.0673597i | ||||
\(979\) | −1.01286e9 | + | 5.74421e9i | −0.0344992 | + | 0.195655i | ||||
\(980\) | 2.96492e10 | + | 5.13539e10i | 1.00629 | + | 1.74294i | ||||
\(981\) | −2.64799e9 | + | 4.58645e9i | −0.0895519 | + | 0.155108i | ||||
\(982\) | 1.23869e10 | + | 1.03938e10i | 0.417418 | + | 0.350255i | ||||
\(983\) | 2.48711e9 | + | 9.05234e8i | 0.0835137 | + | 0.0303965i | 0.383439 | − | 0.923566i | \(-0.374740\pi\) |
−0.299925 | + | 0.953963i | \(0.596962\pi\) | |||||||
\(984\) | 1.22568e9 | − | 4.46111e8i | 0.0410105 | − | 0.0149266i | ||||
\(985\) | −7.41110e10 | + | 6.21865e10i | −2.47090 | + | 2.07334i | ||||
\(986\) | 1.61886e9 | + | 9.18103e9i | 0.0537825 | + | 0.305016i | ||||
\(987\) | 1.66326e10 | 0.550618 | ||||||||
\(988\) | 1.94723e10 | + | 1.36647e9i | 0.642344 | + | 0.0450766i | ||||
\(989\) | 2.33279e10 | 0.766812 | ||||||||
\(990\) | 9.03265e8 | + | 5.12267e9i | 0.0295864 | + | 0.167793i | ||||
\(991\) | −1.31129e10 | + | 1.10030e10i | −0.427997 | + | 0.359132i | −0.831195 | − | 0.555981i | \(-0.812343\pi\) |
0.403199 | + | 0.915113i | \(0.367898\pi\) | |||||||
\(992\) | −2.00591e9 | + | 7.30092e8i | −0.0652410 | + | 0.0237458i | ||||
\(993\) | −9.52229e9 | − | 3.46583e9i | −0.308617 | − | 0.112327i | ||||
\(994\) | −5.29335e10 | − | 4.44165e10i | −1.70954 | − | 1.43447i | ||||
\(995\) | 3.18529e10 | − | 5.51709e10i | 1.02511 | − | 1.77553i | ||||
\(996\) | −1.23694e9 | − | 2.14245e9i | −0.0396681 | − | 0.0687072i | ||||
\(997\) | −6.22741e9 | + | 3.53174e10i | −0.199010 | + | 1.12864i | 0.707582 | + | 0.706631i | \(0.249786\pi\) |
−0.906592 | + | 0.422009i | \(0.861325\pi\) | |||||||
\(998\) | −1.19306e8 | + | 6.76615e8i | −0.00379930 | + | 0.0215469i | ||||
\(999\) | 7.02640e9 | + | 1.21701e10i | 0.222974 | + | 0.386202i |
(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 | 38.8.e.a.9.3 | ✓ | 30 | |
19.17 | even | 9 | inner | 38.8.e.a.17.3 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.8.e.a.9.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
38.8.e.a.17.3 | yes | 30 | 19.17 | even | 9 | inner |