Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,9,Mod(2,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.f (of order \(18\), 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: | \(10.9992224717\) |
Analytic rank: | \(0\) |
Dimension: | \(138\) |
Relative dimension: | \(23\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 2.11 | ||
Character | \(\chi\) | \(=\) | 27.2 |
Dual form | 27.9.f.a.14.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.24198 | − | 0.571649i | −0.202624 | − | 0.0357281i | 0.0714149 | − | 0.997447i | \(-0.477249\pi\) |
−0.274039 | + | 0.961719i | \(0.588360\pi\) | |||||||
\(3\) | −71.7460 | + | 37.5966i | −0.885754 | + | 0.464156i | ||||
\(4\) | −230.378 | − | 83.8506i | −0.899913 | − | 0.327541i | ||||
\(5\) | 387.667 | + | 462.003i | 0.620267 | + | 0.739206i | 0.981116 | − | 0.193419i | \(-0.0619576\pi\) |
−0.360849 | + | 0.932624i | \(0.617513\pi\) | |||||||
\(6\) | 254.092 | − | 80.8741i | 0.196058 | − | 0.0624028i | ||||
\(7\) | −3862.15 | + | 1405.71i | −1.60856 | + | 0.585468i | −0.981155 | − | 0.193225i | \(-0.938105\pi\) |
−0.627405 | + | 0.778693i | \(0.715883\pi\) | |||||||
\(8\) | 1428.79 | + | 824.913i | 0.348826 | + | 0.201395i | ||||
\(9\) | 3733.99 | − | 5394.82i | 0.569119 | − | 0.822255i | ||||
\(10\) | −992.706 | − | 1719.42i | −0.0992706 | − | 0.171942i | ||||
\(11\) | 11423.3 | − | 13613.8i | 0.780227 | − | 0.929839i | −0.218716 | − | 0.975788i | \(-0.570187\pi\) |
0.998944 | + | 0.0459497i | \(0.0146314\pi\) | |||||||
\(12\) | 19681.2 | − | 2645.47i | 0.949131 | − | 0.127579i | ||||
\(13\) | −882.859 | − | 5006.94i | −0.0309113 | − | 0.175307i | 0.965443 | − | 0.260612i | \(-0.0839245\pi\) |
−0.996355 | + | 0.0853055i | \(0.972813\pi\) | |||||||
\(14\) | 13324.6 | − | 2349.49i | 0.346850 | − | 0.0611591i | ||||
\(15\) | −45183.3 | − | 18571.9i | −0.892510 | − | 0.366853i | ||||
\(16\) | 43917.7 | + | 36851.3i | 0.670130 | + | 0.562306i | ||||
\(17\) | 23746.9 | − | 13710.3i | 0.284322 | − | 0.164153i | −0.351056 | − | 0.936354i | \(-0.614177\pi\) |
0.635378 | + | 0.772201i | \(0.280844\pi\) | |||||||
\(18\) | −15189.5 | + | 15355.4i | −0.144695 | + | 0.146275i | ||||
\(19\) | 92857.3 | − | 160834.i | 0.712528 | − | 1.23413i | −0.251378 | − | 0.967889i | \(-0.580884\pi\) |
0.963905 | − | 0.266245i | \(-0.0857831\pi\) | |||||||
\(20\) | −50570.5 | − | 138941.i | −0.316066 | − | 0.868384i | ||||
\(21\) | 224244. | − | 246058.i | 1.15304 | − | 1.26520i | ||||
\(22\) | −44816.5 | + | 37605.5i | −0.191314 | + | 0.160532i | ||||
\(23\) | −88410.2 | + | 242905.i | −0.315930 | + | 0.868011i | 0.675498 | + | 0.737361i | \(0.263928\pi\) |
−0.991429 | + | 0.130650i | \(0.958294\pi\) | |||||||
\(24\) | −133524. | − | 5466.51i | −0.402452 | − | 0.0164765i | ||||
\(25\) | 4669.78 | − | 26483.6i | 0.0119546 | − | 0.0677981i | ||||
\(26\) | 16737.1i | 0.0366258i | ||||||||
\(27\) | −65071.9 | + | 527442.i | −0.122444 | + | 0.992475i | ||||
\(28\) | 1.00762e6 | 1.63933 | ||||||||
\(29\) | −234351. | − | 41322.5i | −0.331341 | − | 0.0584244i | 0.00550273 | − | 0.999985i | \(-0.498248\pi\) |
−0.336844 | + | 0.941560i | \(0.609360\pi\) | |||||||
\(30\) | 135867. | + | 86039.0i | 0.167737 | + | 0.106221i | ||||
\(31\) | −618503. | − | 225117.i | −0.669723 | − | 0.243759i | −0.0152945 | − | 0.999883i | \(-0.504869\pi\) |
−0.654429 | + | 0.756124i | \(0.727091\pi\) | |||||||
\(32\) | −392799. | − | 468120.i | −0.374602 | − | 0.446434i | ||||
\(33\) | −307745. | + | 1.40621e6i | −0.259499 | + | 1.18576i | ||||
\(34\) | −84824.4 | + | 30873.6i | −0.0634754 | + | 0.0231031i | ||||
\(35\) | −2.14667e6 | − | 1.23938e6i | −1.43052 | − | 0.825910i | ||||
\(36\) | −1.31259e6 | + | 929748.i | −0.781480 | + | 0.553548i | ||||
\(37\) | 779022. | + | 1.34931e6i | 0.415664 | + | 0.719952i | 0.995498 | − | 0.0947831i | \(-0.0302158\pi\) |
−0.579834 | + | 0.814735i | \(0.696882\pi\) | |||||||
\(38\) | −392982. | + | 468338.i | −0.188468 | + | 0.224608i | ||||
\(39\) | 251586. | + | 326036.i | 0.108750 | + | 0.140931i | ||||
\(40\) | 172782. | + | 979898.i | 0.0674931 | + | 0.382773i | ||||
\(41\) | 3.82274e6 | − | 674052.i | 1.35282 | − | 0.238538i | 0.550201 | − | 0.835033i | \(-0.314551\pi\) |
0.802617 | + | 0.596494i | \(0.203440\pi\) | |||||||
\(42\) | −867655. | + | 669527.i | −0.278837 | + | 0.215165i | ||||
\(43\) | −1.19676e6 | − | 1.00420e6i | −0.350051 | − | 0.293728i | 0.450759 | − | 0.892645i | \(-0.351153\pi\) |
−0.800811 | + | 0.598918i | \(0.795598\pi\) | |||||||
\(44\) | −3.77320e6 | + | 2.17846e6i | −1.00670 | + | 0.581217i | ||||
\(45\) | 3.93997e6 | − | 366277.i | 0.960821 | − | 0.0893223i | ||||
\(46\) | 425481. | − | 736954.i | 0.0950274 | − | 0.164592i | ||||
\(47\) | 407155. | + | 1.11865e6i | 0.0834390 | + | 0.229247i | 0.974395 | − | 0.224843i | \(-0.0721869\pi\) |
−0.890956 | + | 0.454089i | \(0.849965\pi\) | |||||||
\(48\) | −4.53640e6 | − | 992779.i | −0.854568 | − | 0.187020i | ||||
\(49\) | 8.52411e6 | − | 7.15258e6i | 1.47865 | − | 1.24073i | ||||
\(50\) | −30278.7 | + | 83190.0i | −0.00484459 | + | 0.0133104i | ||||
\(51\) | −1.18828e6 | + | 1.87646e6i | −0.175647 | + | 0.277369i | ||||
\(52\) | −216444. | + | 1.22752e6i | −0.0296028 | + | 0.167886i | ||||
\(53\) | − | 1.29944e7i | − | 1.64684i | −0.567432 | − | 0.823420i | \(-0.692063\pi\) | ||
0.567432 | − | 0.823420i | \(-0.307937\pi\) | |||||||
\(54\) | 512474. | − | 1.67276e6i | 0.0602694 | − | 0.196725i | ||||
\(55\) | 1.07180e7 | 1.17129 | ||||||||
\(56\) | −6.67780e6 | − | 1.17748e6i | −0.679018 | − | 0.119729i | ||||
\(57\) | −615344. | + | 1.50303e7i | −0.0582933 | + | 1.42386i | ||||
\(58\) | 736141. | + | 267934.i | 0.0650503 | + | 0.0236764i | ||||
\(59\) | −1.38268e7 | − | 1.64782e7i | −1.14107 | − | 1.35988i | −0.923391 | − | 0.383861i | \(-0.874594\pi\) |
−0.217684 | − | 0.976019i | \(-0.569850\pi\) | |||||||
\(60\) | 8.85196e6 | + | 8.06721e6i | 0.683022 | + | 0.622470i | ||||
\(61\) | 1.39731e7 | − | 5.08578e6i | 1.00919 | − | 0.367315i | 0.216068 | − | 0.976378i | \(-0.430677\pi\) |
0.793121 | + | 0.609064i | \(0.208455\pi\) | |||||||
\(62\) | 1.87649e6 | + | 1.08339e6i | 0.126993 | + | 0.0733194i | ||||
\(63\) | −6.83769e6 | + | 2.60845e7i | −0.434057 | + | 1.65585i | ||||
\(64\) | −6.33245e6 | − | 1.09681e7i | −0.377443 | − | 0.653751i | ||||
\(65\) | 1.97097e6 | − | 2.34891e6i | 0.110415 | − | 0.131587i | ||||
\(66\) | 1.80156e6 | − | 4.38299e6i | 0.0949455 | − | 0.230991i | ||||
\(67\) | −1.06177e6 | − | 6.02157e6i | −0.0526901 | − | 0.298821i | 0.947063 | − | 0.321048i | \(-0.104035\pi\) |
−0.999753 | + | 0.0222278i | \(0.992924\pi\) | |||||||
\(68\) | −6.62036e6 | + | 1.16735e6i | −0.309632 | + | 0.0545965i | ||||
\(69\) | −2.78933e6 | − | 2.07514e7i | −0.123056 | − | 0.915485i | ||||
\(70\) | 6.25098e6 | + | 5.24520e6i | 0.260349 | + | 0.218459i | ||||
\(71\) | 3.07395e7 | − | 1.77475e7i | 1.20966 | − | 0.698398i | 0.246975 | − | 0.969022i | \(-0.420563\pi\) |
0.962685 | + | 0.270624i | \(0.0872300\pi\) | |||||||
\(72\) | 9.78534e6 | − | 4.62785e6i | 0.364121 | − | 0.172207i | ||||
\(73\) | 6.89919e6 | − | 1.19498e7i | 0.242944 | − | 0.420792i | −0.718607 | − | 0.695416i | \(-0.755220\pi\) |
0.961552 | + | 0.274624i | \(0.0885534\pi\) | |||||||
\(74\) | −1.75425e6 | − | 4.81975e6i | −0.0585011 | − | 0.160730i | ||||
\(75\) | 660657. | + | 2.07566e6i | 0.0208800 | + | 0.0656012i | ||||
\(76\) | −3.48782e7 | + | 2.92663e7i | −1.04544 | + | 0.877231i | ||||
\(77\) | −2.49816e7 | + | 6.86363e7i | −0.710652 | + | 1.95250i | ||||
\(78\) | −629259. | − | 1.20082e6i | −0.0170001 | − | 0.0324414i | ||||
\(79\) | −7.76297e6 | + | 4.40260e7i | −0.199306 | + | 1.13032i | 0.706846 | + | 0.707367i | \(0.250117\pi\) |
−0.906152 | + | 0.422952i | \(0.860994\pi\) | |||||||
\(80\) | 3.45761e7i | 0.844144i | ||||||||
\(81\) | −1.51614e7 | − | 4.02884e7i | −0.352208 | − | 0.935922i | ||||
\(82\) | −1.27786e7 | −0.282636 | ||||||||
\(83\) | −4.57442e7 | − | 8.06593e6i | −0.963881 | − | 0.169958i | −0.330506 | − | 0.943804i | \(-0.607220\pi\) |
−0.633374 | + | 0.773846i | \(0.718331\pi\) | |||||||
\(84\) | −7.22930e7 | + | 3.78832e7i | −1.45204 | + | 0.760904i | ||||
\(85\) | 1.55401e7 | + | 5.65612e6i | 0.297699 | + | 0.108354i | ||||
\(86\) | 3.30581e6 | + | 3.93971e6i | 0.0604344 | + | 0.0720230i | ||||
\(87\) | 1.83674e7 | − | 5.84610e6i | 0.320605 | − | 0.102044i | ||||
\(88\) | 2.75517e7 | − | 1.00280e7i | 0.459428 | − | 0.167218i | ||||
\(89\) | −3.60126e6 | − | 2.07919e6i | −0.0573977 | − | 0.0331386i | 0.471027 | − | 0.882119i | \(-0.343884\pi\) |
−0.528424 | + | 0.848980i | \(0.677217\pi\) | |||||||
\(90\) | −1.29827e7 | − | 1.06481e6i | −0.197877 | − | 0.0162295i | ||||
\(91\) | 1.04480e7 | + | 1.80965e7i | 0.152359 | + | 0.263894i | ||||
\(92\) | 4.07355e7 | − | 4.85466e7i | 0.568619 | − | 0.677654i | ||||
\(93\) | 5.28388e7 | − | 7.10240e6i | 0.706352 | − | 0.0949453i | ||||
\(94\) | −680516. | − | 3.85940e6i | −0.00871619 | − | 0.0494320i | ||||
\(95\) | 1.10303e8 | − | 1.94495e7i | 1.35424 | − | 0.238788i | ||||
\(96\) | 4.57815e7 | + | 1.88178e7i | 0.539020 | + | 0.221556i | ||||
\(97\) | −1.08572e8 | − | 9.11031e7i | −1.22640 | − | 1.02907i | −0.998464 | − | 0.0553970i | \(-0.982358\pi\) |
−0.227937 | − | 0.973676i | \(-0.573198\pi\) | |||||||
\(98\) | −3.17238e7 | + | 1.83157e7i | −0.343938 | + | 0.198573i | ||||
\(99\) | −3.07893e7 | − | 1.12460e8i | −0.320523 | − | 1.17073i | ||||
\(100\) | −3.29648e6 | + | 5.70967e6i | −0.0329648 | + | 0.0570967i | ||||
\(101\) | 4.07022e7 | + | 1.11828e8i | 0.391140 | + | 1.07465i | 0.966482 | + | 0.256735i | \(0.0826467\pi\) |
−0.575342 | + | 0.817913i | \(0.695131\pi\) | |||||||
\(102\) | 4.92507e6 | − | 5.40417e6i | 0.0455001 | − | 0.0499262i | ||||
\(103\) | −2.77608e7 | + | 2.32941e7i | −0.246651 | + | 0.206965i | −0.757729 | − | 0.652570i | \(-0.773691\pi\) |
0.511077 | + | 0.859535i | \(0.329247\pi\) | |||||||
\(104\) | 2.86887e6 | − | 7.88216e6i | 0.0245232 | − | 0.0673770i | ||||
\(105\) | 2.00612e8 | + | 8.21309e6i | 1.65044 | + | 0.0675693i | ||||
\(106\) | −7.42821e6 | + | 4.21275e7i | −0.0588384 | + | 0.333689i | ||||
\(107\) | − | 1.86649e8i | − | 1.42394i | −0.702212 | − | 0.711968i | \(-0.747804\pi\) | ||
0.702212 | − | 0.711968i | \(-0.252196\pi\) | |||||||
\(108\) | 5.92174e7 | − | 1.16055e8i | 0.435266 | − | 0.853036i | ||||
\(109\) | 1.05606e8 | 0.748138 | 0.374069 | − | 0.927401i | \(-0.377962\pi\) | ||||
0.374069 | + | 0.927401i | \(0.377962\pi\) | |||||||
\(110\) | −3.47477e7 | − | 6.12696e6i | −0.237332 | − | 0.0418480i | ||||
\(111\) | −1.06621e8 | − | 6.75187e7i | −0.702346 | − | 0.444767i | ||||
\(112\) | −2.21419e8 | − | 8.05899e7i | −1.40716 | − | 0.512163i | ||||
\(113\) | 1.87685e8 | + | 2.23674e8i | 1.15110 | + | 1.37183i | 0.916643 | + | 0.399708i | \(0.130888\pi\) |
0.234462 | + | 0.972125i | \(0.424667\pi\) | |||||||
\(114\) | 1.05870e7 | − | 4.83762e7i | 0.0626835 | − | 0.286426i | ||||
\(115\) | −1.46497e8 | + | 5.33204e7i | −0.837599 | + | 0.304861i | ||||
\(116\) | 5.05244e7 | + | 2.91703e7i | 0.279042 | + | 0.161105i | ||||
\(117\) | −3.03081e7 | − | 1.39330e7i | −0.161739 | − | 0.0743534i | ||||
\(118\) | 3.54066e7 | + | 6.13260e7i | 0.182623 | + | 0.316313i | ||||
\(119\) | −7.24414e7 | + | 8.63323e7i | −0.361243 | + | 0.430512i | ||||
\(120\) | −4.92373e7 | − | 6.38077e7i | −0.237448 | − | 0.307715i | ||||
\(121\) | −1.76197e7 | − | 9.99263e7i | −0.0821972 | − | 0.466164i | ||||
\(122\) | −4.82078e7 | + | 8.50033e6i | −0.217609 | + | 0.0383704i | ||||
\(123\) | −2.48924e8 | + | 1.92083e8i | −1.08754 | + | 0.839205i | ||||
\(124\) | 1.23613e8 | + | 1.03724e8i | 0.522851 | + | 0.438724i | ||||
\(125\) | 2.18070e8 | − | 1.25903e8i | 0.893215 | − | 0.515698i | ||||
\(126\) | 3.70789e7 | − | 8.06568e7i | 0.147111 | − | 0.320006i | ||||
\(127\) | 1.44951e8 | − | 2.51062e8i | 0.557192 | − | 0.965085i | −0.440537 | − | 0.897734i | \(-0.645212\pi\) |
0.997729 | − | 0.0673506i | \(-0.0214546\pi\) | |||||||
\(128\) | 6.77648e7 | + | 1.86182e8i | 0.252444 | + | 0.693583i | ||||
\(129\) | 1.23617e8 | + | 2.70532e7i | 0.446395 | + | 0.0976922i | ||||
\(130\) | −7.73260e6 | + | 6.48842e6i | −0.0270740 | + | 0.0227178i | ||||
\(131\) | 5.14222e7 | − | 1.41281e8i | 0.174609 | − | 0.479733i | −0.821258 | − | 0.570556i | \(-0.806728\pi\) |
0.995867 | + | 0.0908232i | \(0.0289498\pi\) | |||||||
\(132\) | 1.88809e8 | − | 2.98155e8i | 0.621910 | − | 0.982079i | ||||
\(133\) | −1.32544e8 | + | 7.51694e8i | −0.423598 | + | 2.40234i | ||||
\(134\) | 2.01288e7i | 0.0624307i | ||||||||
\(135\) | −2.68906e8 | + | 1.74408e8i | −0.809591 | + | 0.525088i | ||||
\(136\) | 4.52391e7 | 0.132239 | ||||||||
\(137\) | −6.49465e8 | − | 1.14518e8i | −1.84363 | − | 0.325082i | −0.860707 | − | 0.509101i | \(-0.829978\pi\) |
−0.982923 | + | 0.184020i | \(0.941089\pi\) | |||||||
\(138\) | −2.81956e6 | + | 6.88702e7i | −0.00777438 | + | 0.189896i | ||||
\(139\) | −4.91164e8 | − | 1.78769e8i | −1.31573 | − | 0.478887i | −0.413643 | − | 0.910439i | \(-0.635744\pi\) |
−0.902088 | + | 0.431552i | \(0.857966\pi\) | |||||||
\(140\) | 3.90622e8 | + | 4.65525e8i | 1.01682 | + | 1.21180i | ||||
\(141\) | −7.12693e7 | − | 6.49511e7i | −0.180313 | − | 0.164327i | ||||
\(142\) | −1.09802e8 | + | 3.99648e7i | −0.270059 | + | 0.0982933i | ||||
\(143\) | −7.82485e7 | − | 4.51768e7i | −0.187125 | − | 0.108037i | ||||
\(144\) | 3.62794e8 | − | 9.93255e7i | 0.843743 | − | 0.230999i | ||||
\(145\) | −7.17592e7 | − | 1.24291e8i | −0.162332 | − | 0.281168i | ||||
\(146\) | −2.91981e7 | + | 3.47970e7i | −0.0642604 | + | 0.0765826i | ||||
\(147\) | −3.42658e8 | + | 8.33647e8i | −0.733824 | + | 1.78531i | ||||
\(148\) | −6.63292e7 | − | 3.76171e8i | −0.138248 | − | 0.784041i | ||||
\(149\) | −5.15210e8 | + | 9.08454e7i | −1.04530 | + | 0.184314i | −0.669824 | − | 0.742520i | \(-0.733630\pi\) |
−0.375472 | + | 0.926834i | \(0.622519\pi\) | |||||||
\(150\) | −955287. | − | 7.10693e6i | −0.00188699 | − | 0.0140384i | ||||
\(151\) | 5.15851e8 | + | 4.32850e8i | 0.992239 | + | 0.832588i | 0.985890 | − | 0.167392i | \(-0.0535346\pi\) |
0.00634899 | + | 0.999980i | \(0.497979\pi\) | |||||||
\(152\) | 2.65347e8 | − | 1.53198e8i | 0.497096 | − | 0.286999i | ||||
\(153\) | 1.47062e7 | − | 1.79304e8i | 0.0268370 | − | 0.327208i | ||||
\(154\) | 1.20226e8 | − | 2.08237e8i | 0.213754 | − | 0.370233i | ||||
\(155\) | −1.35769e8 | − | 3.73021e8i | −0.235219 | − | 0.646259i | ||||
\(156\) | −3.06214e7 | − | 9.62070e7i | −0.0517044 | − | 0.162446i | ||||
\(157\) | 4.46343e8 | − | 3.74526e8i | 0.734633 | − | 0.616430i | −0.196758 | − | 0.980452i | \(-0.563041\pi\) |
0.931390 | + | 0.364022i | \(0.118597\pi\) | |||||||
\(158\) | 5.03349e7 | − | 1.38294e8i | 0.0807682 | − | 0.221909i | ||||
\(159\) | 4.88544e8 | + | 9.32294e8i | 0.764390 | + | 1.45869i | ||||
\(160\) | 6.39977e7 | − | 3.62949e8i | 0.0976528 | − | 0.553816i | ||||
\(161\) | − | 1.06242e9i | − | 1.58121i | ||||||
\(162\) | 2.61222e7 | + | 1.39281e8i | 0.0379271 | + | 0.202224i | ||||
\(163\) | 1.04960e9 | 1.48687 | 0.743437 | − | 0.668806i | \(-0.233194\pi\) | ||||
0.743437 | + | 0.668806i | \(0.233194\pi\) | |||||||
\(164\) | −9.37194e8 | − | 1.65253e8i | −1.29555 | − | 0.228440i | ||||
\(165\) | −7.68977e8 | + | 4.02962e8i | −1.03748 | + | 0.543662i | ||||
\(166\) | 1.43691e8 | + | 5.22992e7i | 0.189233 | + | 0.0688752i | ||||
\(167\) | −1.58207e8 | − | 1.88544e8i | −0.203404 | − | 0.242407i | 0.654693 | − | 0.755895i | \(-0.272798\pi\) |
−0.858097 | + | 0.513487i | \(0.828353\pi\) | |||||||
\(168\) | 5.23375e8 | − | 1.66583e8i | 0.657015 | − | 0.209120i | ||||
\(169\) | 7.42246e8 | − | 2.70155e8i | 0.909916 | − | 0.331182i | ||||
\(170\) | −4.71473e7 | − | 2.72205e7i | −0.0564496 | − | 0.0325912i | ||||
\(171\) | −5.20940e8 | − | 1.10150e9i | −0.609261 | − | 1.28825i | ||||
\(172\) | 1.91503e8 | + | 3.31693e8i | 0.218808 | + | 0.378986i | ||||
\(173\) | −2.45942e8 | + | 2.93102e8i | −0.274567 | + | 0.327216i | −0.885653 | − | 0.464348i | \(-0.846289\pi\) |
0.611086 | + | 0.791564i | \(0.290733\pi\) | |||||||
\(174\) | −6.28886e7 | + | 8.45326e6i | −0.0686081 | + | 0.00922205i | ||||
\(175\) | 1.91929e7 | + | 1.08848e8i | 0.0204639 | + | 0.116056i | ||||
\(176\) | 1.00337e9 | − | 1.76921e8i | 1.04571 | − | 0.184387i | ||||
\(177\) | 1.61154e9 | + | 6.62401e8i | 1.64191 | + | 0.674882i | ||||
\(178\) | 1.04867e7 | + | 8.79935e6i | 0.0104462 | + | 0.00876538i | ||||
\(179\) | −1.76049e8 | + | 1.01642e8i | −0.171483 | + | 0.0990057i | −0.583285 | − | 0.812268i | \(-0.698233\pi\) |
0.411802 | + | 0.911273i | \(0.364900\pi\) | |||||||
\(180\) | −9.38393e8 | − | 2.45987e8i | −0.893912 | − | 0.234327i | ||||
\(181\) | 3.05406e8 | − | 5.28979e8i | 0.284553 | − | 0.492861i | −0.687948 | − | 0.725760i | \(-0.741488\pi\) |
0.972501 | + | 0.232900i | \(0.0748214\pi\) | |||||||
\(182\) | −2.35275e7 | − | 6.46413e7i | −0.0214432 | − | 0.0589148i | ||||
\(183\) | −8.11304e8 | + | 8.90225e8i | −0.723402 | + | 0.793772i | ||||
\(184\) | −3.26695e8 | + | 2.74130e8i | −0.285017 | + | 0.239158i | ||||
\(185\) | −3.21383e8 | + | 8.82992e8i | −0.274369 | + | 0.753824i | ||||
\(186\) | −1.75363e8 | − | 7.17939e6i | −0.146516 | − | 0.00599841i | ||||
\(187\) | 8.46195e7 | − | 4.79901e8i | 0.0691997 | − | 0.392451i | ||||
\(188\) | − | 2.91852e8i | − | 0.233632i | ||||||
\(189\) | −4.90112e8 | − | 2.12853e9i | −0.384104 | − | 1.66814i | ||||
\(190\) | −3.68720e8 | −0.282932 | ||||||||
\(191\) | 1.58410e8 | + | 2.79319e7i | 0.119028 | + | 0.0209878i | 0.232845 | − | 0.972514i | \(-0.425197\pi\) |
−0.113817 | + | 0.993502i | \(0.536308\pi\) | |||||||
\(192\) | 8.66693e8 | + | 5.48841e8i | 0.637764 | + | 0.403870i | ||||
\(193\) | −1.24511e8 | − | 4.53181e7i | −0.0897381 | − | 0.0326620i | 0.296761 | − | 0.954952i | \(-0.404094\pi\) |
−0.386499 | + | 0.922290i | \(0.626316\pi\) | |||||||
\(194\) | 2.99911e8 | + | 3.57420e8i | 0.211731 | + | 0.252332i | ||||
\(195\) | −5.30982e7 | + | 2.42627e8i | −0.0367232 | + | 0.167803i | ||||
\(196\) | −2.56351e9 | + | 9.33042e8i | −1.73705 | + | 0.632233i | ||||
\(197\) | −5.26529e7 | − | 3.03991e7i | −0.0349588 | − | 0.0201835i | 0.482419 | − | 0.875941i | \(-0.339758\pi\) |
−0.517378 | + | 0.855757i | \(0.673092\pi\) | |||||||
\(198\) | 3.55306e7 | + | 3.82195e8i | 0.0231175 | + | 0.248671i | ||||
\(199\) | −3.16579e8 | − | 5.48332e8i | −0.201869 | − | 0.349648i | 0.747261 | − | 0.664530i | \(-0.231368\pi\) |
−0.949131 | + | 0.314882i | \(0.898035\pi\) | |||||||
\(200\) | 2.85188e7 | − | 3.39874e7i | 0.0178243 | − | 0.0212421i | ||||
\(201\) | 3.02568e8 | + | 3.92105e8i | 0.185370 | + | 0.240225i | ||||
\(202\) | −6.80292e7 | − | 3.85813e8i | −0.0408592 | − | 0.231724i | ||||
\(203\) | 9.63188e8 | − | 1.69836e8i | 0.567188 | − | 0.100011i | ||||
\(204\) | 4.31096e8 | − | 3.32656e8i | 0.248916 | − | 0.192077i | ||||
\(205\) | 1.79336e9 | + | 1.50481e9i | 1.01544 | + | 0.852053i | ||||
\(206\) | 1.03316e8 | − | 5.96496e7i | 0.0573719 | − | 0.0331237i | ||||
\(207\) | 9.80306e8 | + | 1.38396e9i | 0.533925 | + | 0.753776i | ||||
\(208\) | 1.45739e8 | − | 2.52428e8i | 0.0778616 | − | 0.134860i | ||||
\(209\) | −1.12881e9 | − | 3.10139e9i | −0.591612 | − | 1.62544i | ||||
\(210\) | −6.45685e8 | − | 1.41306e8i | −0.332004 | − | 0.0726581i | ||||
\(211\) | −1.27463e9 | + | 1.06955e9i | −0.643067 | + | 0.539597i | −0.904958 | − | 0.425500i | \(-0.860098\pi\) |
0.261892 | + | 0.965097i | \(0.415654\pi\) | |||||||
\(212\) | −1.08958e9 | + | 2.99361e9i | −0.539408 | + | 1.48201i | ||||
\(213\) | −1.53819e9 | + | 2.42901e9i | −0.747296 | + | 1.18008i | ||||
\(214\) | −1.06698e8 | + | 6.05112e8i | −0.0508745 | + | 0.288523i | ||||
\(215\) | − | 9.42199e8i | − | 0.440950i | ||||||
\(216\) | −5.28068e8 | + | 6.99926e8i | −0.242591 | + | 0.321542i | ||||
\(217\) | 2.70520e9 | 1.22000 | ||||||||
\(218\) | −3.42372e8 | − | 6.03695e7i | −0.151591 | − | 0.0267295i | ||||
\(219\) | −4.57194e7 | + | 1.11673e9i | −0.0198758 | + | 0.485482i | ||||
\(220\) | −2.46920e9 | − | 8.98715e8i | −1.05406 | − | 0.383646i | ||||
\(221\) | −8.96116e7 | − | 1.06795e8i | −0.0375660 | − | 0.0447695i | ||||
\(222\) | 3.07067e8 | + | 2.79844e8i | 0.126421 | + | 0.115214i | ||||
\(223\) | −9.28099e7 | + | 3.37800e7i | −0.0375297 | + | 0.0136597i | −0.360717 | − | 0.932675i | \(-0.617468\pi\) |
0.323187 | + | 0.946335i | \(0.395246\pi\) | |||||||
\(224\) | 2.17509e9 | + | 1.25579e9i | 0.863943 | + | 0.498798i | ||||
\(225\) | −1.25437e8 | − | 1.24082e8i | −0.0489437 | − | 0.0484149i | ||||
\(226\) | −4.80607e8 | − | 8.32436e8i | −0.184228 | − | 0.319093i | ||||
\(227\) | −2.09551e9 | + | 2.49733e9i | −0.789198 | + | 0.940529i | −0.999310 | − | 0.0371480i | \(-0.988173\pi\) |
0.210112 | + | 0.977677i | \(0.432617\pi\) | |||||||
\(228\) | 1.40206e9 | − | 3.41105e9i | 0.518833 | − | 1.26226i | ||||
\(229\) | −2.35578e8 | − | 1.33603e9i | −0.0856630 | − | 0.485819i | −0.997212 | − | 0.0746264i | \(-0.976224\pi\) |
0.911549 | − | 0.411192i | \(-0.134888\pi\) | |||||||
\(230\) | 5.05420e8 | − | 8.91192e7i | 0.180610 | − | 0.0318464i | ||||
\(231\) | −7.88165e8 | − | 5.86360e9i | −0.276802 | − | 2.05929i | ||||
\(232\) | −3.00752e8 | − | 2.52361e8i | −0.103814 | − | 0.0871104i | ||||
\(233\) | 6.27753e8 | − | 3.62433e8i | 0.212993 | − | 0.122972i | −0.389709 | − | 0.920938i | \(-0.627424\pi\) |
0.602702 | + | 0.797967i | \(0.294091\pi\) | |||||||
\(234\) | 9.02936e7 | + | 6.24962e7i | 0.0301158 | + | 0.0208444i | ||||
\(235\) | −3.58980e8 | + | 6.21771e8i | −0.117706 | + | 0.203873i | ||||
\(236\) | 1.80369e9 | + | 4.95559e9i | 0.581451 | + | 1.59752i | ||||
\(237\) | −1.09827e9 | − | 3.45055e9i | −0.348108 | − | 1.09369i | ||||
\(238\) | 2.84206e8 | − | 2.38477e8i | 0.0885778 | − | 0.0743256i | ||||
\(239\) | 7.45604e8 | − | 2.04853e9i | 0.228516 | − | 0.627842i | −0.771448 | − | 0.636292i | \(-0.780467\pi\) |
0.999964 | + | 0.00844956i | \(0.00268961\pi\) | |||||||
\(240\) | −1.29995e9 | − | 2.48070e9i | −0.391814 | − | 0.747704i | ||||
\(241\) | −2.83147e8 | + | 1.60581e9i | −0.0839352 | + | 0.476020i | 0.913646 | + | 0.406511i | \(0.133255\pi\) |
−0.997581 | + | 0.0695097i | \(0.977857\pi\) | |||||||
\(242\) | 3.34032e8i | 0.0973927i | ||||||||
\(243\) | 2.60248e9 | + | 2.32051e9i | 0.746383 | + | 0.665517i | ||||
\(244\) | −3.64553e9 | −1.02849 | ||||||||
\(245\) | 6.60903e9 | + | 1.16535e9i | 1.83431 | + | 0.323439i | ||||
\(246\) | 9.16813e8 | − | 4.80432e8i | 0.250346 | − | 0.131187i | ||||
\(247\) | −8.87265e8 | − | 3.22938e8i | −0.238378 | − | 0.0867623i | ||||
\(248\) | −6.98010e8 | − | 8.31856e8i | −0.184525 | − | 0.219908i | ||||
\(249\) | 3.58521e9 | − | 1.14113e9i | 0.932648 | − | 0.296850i | ||||
\(250\) | −7.78952e8 | + | 2.83515e8i | −0.199412 | + | 0.0725799i | ||||
\(251\) | −5.80211e8 | − | 3.34985e8i | −0.146181 | − | 0.0843977i | 0.425126 | − | 0.905134i | \(-0.360230\pi\) |
−0.571307 | + | 0.820737i | \(0.693563\pi\) | |||||||
\(252\) | 3.76245e9 | − | 5.43594e9i | 0.932972 | − | 1.34795i | ||||
\(253\) | 2.29692e9 | + | 3.97838e9i | 0.560613 | + | 0.971010i | ||||
\(254\) | −6.13446e8 | + | 7.31077e8i | −0.147381 | + | 0.175642i | ||||
\(255\) | −1.32759e9 | + | 1.78450e8i | −0.313981 | + | 0.0422042i | ||||
\(256\) | 4.49743e8 | + | 2.55062e9i | 0.104714 | + | 0.593862i | ||||
\(257\) | 3.70746e9 | − | 6.53725e8i | 0.849853 | − | 0.149852i | 0.268275 | − | 0.963343i | \(-0.413547\pi\) |
0.581578 | + | 0.813491i | \(0.302435\pi\) | |||||||
\(258\) | −3.85299e8 | − | 1.58371e8i | −0.0869599 | − | 0.0357436i | ||||
\(259\) | −4.90543e9 | − | 4.11615e9i | −1.09013 | − | 0.914728i | ||||
\(260\) | −6.51025e8 | + | 3.75869e8i | −0.142464 | + | 0.0822514i | ||||
\(261\) | −1.09799e9 | + | 1.10999e9i | −0.236612 | + | 0.239197i | ||||
\(262\) | −2.47473e8 | + | 4.28636e8i | −0.0525198 | + | 0.0909670i | ||||
\(263\) | −8.27508e8 | − | 2.27356e9i | −0.172961 | − | 0.475207i | 0.822676 | − | 0.568510i | \(-0.192480\pi\) |
−0.995638 | + | 0.0933024i | \(0.970258\pi\) | |||||||
\(264\) | −1.59971e9 | + | 1.75532e9i | −0.329325 | + | 0.361360i | ||||
\(265\) | 6.00344e9 | − | 5.03748e9i | 1.21735 | − | 1.02148i | ||||
\(266\) | 8.59411e8 | − | 2.36121e9i | 0.171662 | − | 0.471638i | ||||
\(267\) | 3.36547e8 | + | 1.37783e7i | 0.0662217 | + | 0.00271113i | ||||
\(268\) | −2.60305e8 | + | 1.47626e9i | −0.0504596 | + | 0.286171i | ||||
\(269\) | − | 2.83899e9i | − | 0.542195i | −0.962552 | − | 0.271097i | \(-0.912613\pi\) | ||
0.962552 | − | 0.271097i | \(-0.0873865\pi\) | |||||||
\(270\) | 9.71490e8 | − | 4.11709e8i | 0.182803 | − | 0.0774703i | ||||
\(271\) | −4.82586e9 | −0.894741 | −0.447370 | − | 0.894349i | \(-0.647639\pi\) | ||||
−0.447370 | + | 0.894349i | \(0.647639\pi\) | |||||||
\(272\) | 1.54815e9 | + | 2.72980e8i | 0.282837 | + | 0.0498719i | ||||
\(273\) | −1.42997e9 | − | 9.05544e8i | −0.257441 | − | 0.163027i | ||||
\(274\) | 2.04009e9 | + | 7.42532e8i | 0.361949 | + | 0.131739i | ||||
\(275\) | −3.07198e8 | − | 3.66104e8i | −0.0537139 | − | 0.0640138i | ||||
\(276\) | −1.09742e9 | + | 5.01455e9i | −0.189119 | + | 0.864162i | ||||
\(277\) | 1.86396e9 | − | 6.78426e8i | 0.316605 | − | 0.115235i | −0.178830 | − | 0.983880i | \(-0.557231\pi\) |
0.495434 | + | 0.868645i | \(0.335009\pi\) | |||||||
\(278\) | 1.49015e9 | + | 8.60339e8i | 0.249489 | + | 0.144043i | ||||
\(279\) | −3.52395e9 | + | 2.49613e9i | −0.581584 | + | 0.411956i | ||||
\(280\) | −2.04476e9 | − | 3.54163e9i | −0.332668 | − | 0.576198i | ||||
\(281\) | −7.81636e8 | + | 9.31518e8i | −0.125366 | + | 0.149405i | −0.825076 | − | 0.565021i | \(-0.808868\pi\) |
0.699710 | + | 0.714427i | \(0.253312\pi\) | |||||||
\(282\) | 1.93925e8 | + | 2.51311e8i | 0.0306645 | + | 0.0397389i | ||||
\(283\) | 1.67891e9 | + | 9.52155e9i | 0.261746 | + | 1.48444i | 0.778143 | + | 0.628087i | \(0.216162\pi\) |
−0.516396 | + | 0.856350i | \(0.672727\pi\) | |||||||
\(284\) | −8.56983e9 | + | 1.51109e9i | −1.31734 | + | 0.232283i | ||||
\(285\) | −7.18260e9 | + | 5.54246e9i | −1.08868 | + | 0.840084i | ||||
\(286\) | 2.27855e8 | + | 1.91193e8i | 0.0340561 | + | 0.0285764i | ||||
\(287\) | −1.38165e10 | + | 7.97695e9i | −2.03643 | + | 1.17573i | ||||
\(288\) | −3.99213e9 | + | 3.71126e8i | −0.580276 | + | 0.0539451i | ||||
\(289\) | −3.11194e9 | + | 5.39003e9i | −0.446107 | + | 0.772680i | ||||
\(290\) | 1.61591e8 | + | 4.43969e8i | 0.0228469 | + | 0.0627712i | ||||
\(291\) | 1.12148e10 | + | 2.45433e9i | 1.56394 | + | 0.342264i | ||||
\(292\) | −2.59141e9 | + | 2.17445e9i | −0.356456 | + | 0.299102i | ||||
\(293\) | 1.75048e8 | − | 4.80940e8i | 0.0237512 | − | 0.0652560i | −0.927250 | − | 0.374442i | \(-0.877834\pi\) |
0.951002 | + | 0.309186i | \(0.100057\pi\) | |||||||
\(294\) | 1.58745e9 | − | 2.50679e9i | 0.212476 | − | 0.335528i | ||||
\(295\) | 2.25277e9 | − | 1.27761e10i | 0.297460 | − | 1.68698i | ||||
\(296\) | 2.57050e9i | 0.334850i | ||||||||
\(297\) | 6.43714e9 | + | 6.91101e9i | 0.827308 | + | 0.888210i | ||||
\(298\) | 1.72223e9 | 0.218387 | ||||||||
\(299\) | 1.29427e9 | + | 2.28214e8i | 0.161934 | + | 0.0285534i | ||||
\(300\) | 2.18450e7 | − | 5.33583e8i | 0.00269692 | − | 0.0658744i | ||||
\(301\) | 6.03366e9 | + | 2.19607e9i | 0.735047 | + | 0.267535i | ||||
\(302\) | −1.42494e9 | − | 1.69818e9i | −0.171305 | − | 0.204153i | ||||
\(303\) | −7.12458e9 | − | 6.49297e9i | −0.845257 | − | 0.770323i | ||||
\(304\) | 1.00050e10 | − | 3.64152e9i | 1.17145 | − | 0.426372i | ||||
\(305\) | 7.76655e9 | + | 4.48402e9i | 0.897488 | + | 0.518165i | ||||
\(306\) | −1.50176e8 | + | 5.72894e8i | −0.0171283 | + | 0.0653414i | ||||
\(307\) | 3.72843e8 | + | 6.45783e8i | 0.0419733 | + | 0.0726998i | 0.886249 | − | 0.463209i | \(-0.153302\pi\) |
−0.844276 | + | 0.535909i | \(0.819969\pi\) | |||||||
\(308\) | 1.15104e10 | − | 1.37175e10i | 1.27905 | − | 1.52431i | ||||
\(309\) | 1.11595e9 | − | 2.71497e9i | 0.122408 | − | 0.297805i | ||||
\(310\) | 2.26922e8 | + | 1.28694e9i | 0.0245714 | + | 0.139351i | ||||
\(311\) | −1.43070e10 | + | 2.52271e9i | −1.52935 | + | 0.269666i | −0.874101 | − | 0.485745i | \(-0.838548\pi\) |
−0.655252 | + | 0.755411i | \(0.727437\pi\) | |||||||
\(312\) | 9.05124e7 | + | 6.73373e8i | 0.00955190 | + | 0.0710620i | ||||
\(313\) | −4.83723e9 | − | 4.05892e9i | −0.503988 | − | 0.422896i | 0.355020 | − | 0.934859i | \(-0.384474\pi\) |
−0.859008 | + | 0.511963i | \(0.828919\pi\) | |||||||
\(314\) | −1.66113e9 | + | 9.59056e8i | −0.170878 | + | 0.0986565i | ||||
\(315\) | −1.47019e10 | + | 6.95307e9i | −1.49324 | + | 0.706210i | ||||
\(316\) | 5.48002e9 | − | 9.49168e9i | 0.549584 | − | 0.951907i | ||||
\(317\) | −3.91673e9 | − | 1.07611e10i | −0.387870 | − | 1.06566i | −0.967958 | − | 0.251110i | \(-0.919204\pi\) |
0.580089 | − | 0.814553i | \(-0.303018\pi\) | |||||||
\(318\) | −1.05091e9 | − | 3.30176e9i | −0.102767 | − | 0.322877i | ||||
\(319\) | −3.23962e9 | + | 2.71837e9i | −0.312847 | + | 0.262510i | ||||
\(320\) | 2.61243e9 | − | 7.17759e9i | 0.249141 | − | 0.684509i | ||||
\(321\) | 7.01737e9 | + | 1.33913e10i | 0.660928 | + | 1.26126i | ||||
\(322\) | −6.07329e8 | + | 3.44433e9i | −0.0564937 | + | 0.320392i | ||||
\(323\) | − | 5.09239e9i | − | 0.467856i | ||||||
\(324\) | 1.14643e8 | + | 1.05528e10i | 0.0104032 | + | 0.957611i | ||||
\(325\) | −1.36725e8 | −0.0122550 | ||||||||
\(326\) | −3.40279e9 | − | 6.00004e8i | −0.301276 | − | 0.0531232i | ||||
\(327\) | −7.57680e9 | + | 3.97042e9i | −0.662666 | + | 0.347253i | ||||
\(328\) | 6.01793e9 | + | 2.19035e9i | 0.519938 | + | 0.189242i | ||||
\(329\) | −3.14499e9 | − | 3.74806e9i | −0.268433 | − | 0.319906i | ||||
\(330\) | 2.72336e9 | − | 8.66812e8i | 0.229641 | − | 0.0730919i | ||||
\(331\) | 1.41536e10 | − | 5.15148e9i | 1.17911 | − | 0.429161i | 0.323223 | − | 0.946323i | \(-0.395234\pi\) |
0.855888 | + | 0.517162i | \(0.173011\pi\) | |||||||
\(332\) | 9.86210e9 | + | 5.69389e9i | 0.811740 | + | 0.468658i | ||||
\(333\) | 1.01881e10 | + | 8.35609e8i | 0.828547 | + | 0.0679557i | ||||
\(334\) | 4.05123e8 | + | 7.01694e8i | 0.0325538 | + | 0.0563848i | ||||
\(335\) | 2.37038e9 | − | 2.82490e9i | 0.188208 | − | 0.224297i | ||||
\(336\) | 1.89158e10 | − | 2.54260e9i | 1.48412 | − | 0.199490i | ||||
\(337\) | −9.05604e8 | − | 5.13594e9i | −0.0702132 | − | 0.398199i | −0.999578 | − | 0.0290371i | \(-0.990756\pi\) |
0.929365 | − | 0.369162i | \(-0.120355\pi\) | |||||||
\(338\) | −2.56078e9 | + | 4.51535e8i | −0.196203 | + | 0.0345959i | ||||
\(339\) | −2.18750e10 | − | 8.99140e9i | −1.65634 | − | 0.680814i | ||||
\(340\) | −3.10581e9 | − | 2.60609e9i | −0.232413 | − | 0.195017i | ||||
\(341\) | −1.01300e10 | + | 5.84858e9i | −0.749193 | + | 0.432547i | ||||
\(342\) | 1.05921e9 | + | 3.86884e9i | 0.0774242 | + | 0.282798i | ||||
\(343\) | −1.10203e10 | + | 1.90877e10i | −0.796188 | + | 1.37904i | ||||
\(344\) | −8.81538e8 | − | 2.42201e9i | −0.0629517 | − | 0.172958i | ||||
\(345\) | 8.50589e9 | − | 9.33331e9i | 0.600404 | − | 0.658809i | ||||
\(346\) | 9.64890e8 | − | 8.09639e8i | 0.0673246 | − | 0.0564920i | ||||
\(347\) | 5.88556e9 | − | 1.61705e10i | 0.405948 | − | 1.11533i | −0.553353 | − | 0.832947i | \(-0.686652\pi\) |
0.959301 | − | 0.282386i | \(-0.0911257\pi\) | |||||||
\(348\) | −4.72163e9 | − | 1.93305e8i | −0.321940 | − | 0.0131803i | ||||
\(349\) | 1.33644e9 | − | 7.57932e9i | 0.0900840 | − | 0.510891i | −0.906059 | − | 0.423151i | \(-0.860924\pi\) |
0.996143 | − | 0.0877409i | \(-0.0279648\pi\) | |||||||
\(350\) | − | 3.63855e8i | − | 0.0242469i | ||||||
\(351\) | 2.69832e9 | − | 1.39846e8i | 0.177773 | − | 0.00921343i | ||||
\(352\) | −1.08599e10 | −0.707387 | ||||||||
\(353\) | 1.16353e10 | + | 2.05161e9i | 0.749337 | + | 0.132128i | 0.535259 | − | 0.844688i | \(-0.320214\pi\) |
0.214078 | + | 0.976817i | \(0.431325\pi\) | |||||||
\(354\) | −4.84593e9 | − | 3.06873e9i | −0.308578 | − | 0.195409i | ||||
\(355\) | 2.01161e10 | + | 7.32165e9i | 1.26657 | + | 0.460995i | ||||
\(356\) | 6.55309e8 | + | 7.80966e8i | 0.0407987 | + | 0.0486219i | ||||
\(357\) | 1.95158e9 | − | 8.91755e9i | 0.120147 | − | 0.549001i | ||||
\(358\) | 6.28850e8 | − | 2.28883e8i | 0.0382838 | − | 0.0139342i | ||||
\(359\) | −7.89075e9 | − | 4.55572e9i | −0.475051 | − | 0.274271i | 0.243301 | − | 0.969951i | \(-0.421770\pi\) |
−0.718352 | + | 0.695680i | \(0.755103\pi\) | |||||||
\(360\) | 5.93154e9 | + | 2.72680e9i | 0.353148 | + | 0.162346i | ||||
\(361\) | −8.75319e9 | − | 1.51610e10i | −0.515392 | − | 0.892684i | ||||
\(362\) | −1.29251e9 | + | 1.54036e9i | −0.0752662 | + | 0.0896988i | ||||
\(363\) | 5.02104e9 | + | 6.50687e9i | 0.289179 | + | 0.374754i | ||||
\(364\) | −8.89589e8 | − | 5.04511e9i | −0.0506739 | − | 0.287386i | ||||
\(365\) | 8.19542e9 | − | 1.44507e9i | 0.461742 | − | 0.0814176i | ||||
\(366\) | 3.13913e9 | − | 2.42231e9i | 0.174938 | − | 0.134991i | ||||
\(367\) | 4.80686e9 | + | 4.03344e9i | 0.264971 | + | 0.222337i | 0.765587 | − | 0.643333i | \(-0.222449\pi\) |
−0.500616 | + | 0.865669i | \(0.666893\pi\) | |||||||
\(368\) | −1.28341e10 | + | 7.40979e9i | −0.699802 | + | 0.404031i | ||||
\(369\) | 1.06377e10 | − | 2.31399e10i | 0.573775 | − | 1.24812i | ||||
\(370\) | 1.54668e9 | − | 2.67893e9i | 0.0825265 | − | 0.142940i | ||||
\(371\) | 1.82663e10 | + | 5.01862e10i | 0.964172 | + | 2.64904i | ||||
\(372\) | −1.27684e10 | − | 2.79433e9i | −0.666754 | − | 0.145917i | ||||
\(373\) | 1.92922e10 | − | 1.61881e10i | 0.996660 | − | 0.836297i | 0.0101421 | − | 0.999949i | \(-0.496772\pi\) |
0.986518 | + | 0.163651i | \(0.0523272\pi\) | |||||||
\(374\) | −5.48670e8 | + | 1.50746e9i | −0.0280430 | + | 0.0770476i | ||||
\(375\) | −1.09121e10 | + | 1.72317e10i | −0.551804 | + | 0.871373i | ||||
\(376\) | −3.41049e8 | + | 1.93419e9i | −0.0170634 | + | 0.0967713i | ||||
\(377\) | 1.20987e9i | 0.0598924i | ||||||||
\(378\) | 3.72162e8 | + | 7.18084e9i | 0.0182291 | + | 0.351729i | ||||
\(379\) | −4.03794e9 | −0.195705 | −0.0978527 | − | 0.995201i | \(-0.531197\pi\) | ||||
−0.0978527 | + | 0.995201i | \(0.531197\pi\) | |||||||
\(380\) | −2.70423e10 | − | 4.76828e9i | −1.29691 | − | 0.228680i | ||||
\(381\) | −9.60554e8 | + | 2.34623e10i | −0.0455850 | + | 1.11345i | ||||
\(382\) | −4.97594e8 | − | 1.81109e8i | −0.0233680 | − | 0.00850526i | ||||
\(383\) | −1.68071e10 | − | 2.00299e10i | −0.781082 | − | 0.930857i | 0.217900 | − | 0.975971i | \(-0.430079\pi\) |
−0.998982 | + | 0.0451138i | \(0.985635\pi\) | |||||||
\(384\) | −1.18617e10 | − | 1.08101e10i | −0.545533 | − | 0.497171i | ||||
\(385\) | −4.13947e10 | + | 1.50665e10i | −1.88409 | + | 0.685754i | ||||
\(386\) | 3.77755e8 | + | 2.18097e8i | 0.0170161 | + | 0.00982427i | ||||
\(387\) | −9.88613e9 | + | 2.70662e9i | −0.440740 | + | 0.120666i | ||||
\(388\) | 1.73736e10 | + | 3.00920e10i | 0.766590 | + | 1.32777i | ||||
\(389\) | 5.81049e8 | − | 6.92467e8i | 0.0253755 | − | 0.0302413i | −0.753207 | − | 0.657783i | \(-0.771494\pi\) |
0.778583 | + | 0.627542i | \(0.215939\pi\) | |||||||
\(390\) | 3.10841e8 | − | 7.56238e8i | 0.0134363 | − | 0.0326889i | ||||
\(391\) | 1.23083e9 | + | 6.98036e9i | 0.0526611 | + | 0.298656i | ||||
\(392\) | 1.80794e10 | − | 3.18789e9i | 0.765668 | − | 0.135008i | ||||
\(393\) | 1.62236e9 | + | 1.20697e10i | 0.0680108 | + | 0.505971i | ||||
\(394\) | 1.53322e8 | + | 1.28652e8i | 0.00636238 | + | 0.00533867i | ||||
\(395\) | −2.33496e10 | + | 1.34809e10i | −0.959161 | + | 0.553772i | ||||
\(396\) | −2.33670e9 | + | 2.84900e10i | −0.0950214 | + | 1.15854i | ||||
\(397\) | −1.45975e10 | + | 2.52837e10i | −0.587648 | + | 1.01784i | 0.406892 | + | 0.913476i | \(0.366613\pi\) |
−0.994540 | + | 0.104360i | \(0.966721\pi\) | |||||||
\(398\) | 7.12892e8 | + | 1.95865e9i | 0.0284113 | + | 0.0780594i | ||||
\(399\) | −1.87517e10 | − | 5.89143e10i | −0.739858 | − | 2.32450i | ||||
\(400\) | 1.18104e9 | − | 9.91012e8i | 0.0461344 | − | 0.0387114i | ||||
\(401\) | −7.29919e9 | + | 2.00544e10i | −0.282291 | + | 0.775589i | 0.714797 | + | 0.699332i | \(0.246519\pi\) |
−0.997088 | + | 0.0762567i | \(0.975703\pi\) | |||||||
\(402\) | −7.56774e8 | − | 1.44416e9i | −0.0289776 | − | 0.0552982i | ||||
\(403\) | −5.81096e8 | + | 3.29556e9i | −0.0220307 | + | 0.124942i | ||||
\(404\) | − | 2.91756e10i | − | 1.09520i | ||||||
\(405\) | 1.27358e10 | − | 2.26231e10i | 0.473376 | − | 0.840875i | ||||
\(406\) | −3.21973e9 | −0.118499 | ||||||||
\(407\) | 2.72681e10 | + | 4.80811e9i | 0.993752 | + | 0.175225i | ||||
\(408\) | −3.24573e9 | + | 1.70084e9i | −0.117131 | + | 0.0613793i | ||||
\(409\) | −4.86243e10 | − | 1.76978e10i | −1.73764 | − | 0.632450i | −0.738516 | − | 0.674236i | \(-0.764473\pi\) |
−0.999127 | + | 0.0417856i | \(0.986695\pi\) | |||||||
\(410\) | −4.95383e9 | − | 5.90375e9i | −0.175310 | − | 0.208926i | ||||
\(411\) | 5.09021e10 | − | 1.62015e10i | 1.78389 | − | 0.567789i | ||||
\(412\) | 8.34869e9 | − | 3.03868e9i | 0.289754 | − | 0.105462i | ||||
\(413\) | 7.65648e10 | + | 4.42047e10i | 2.63165 | + | 1.51939i | ||||
\(414\) | −2.38699e9 | − | 5.04717e9i | −0.0812550 | − | 0.171809i | ||||
\(415\) | −1.40070e10 | − | 2.42609e10i | −0.472229 | − | 0.817925i | ||||
\(416\) | −1.99706e9 | + | 2.38001e9i | −0.0666835 | + | 0.0794703i | ||||
\(417\) | 4.19602e10 | − | 5.64013e9i | 1.38769 | − | 0.186529i | ||||
\(418\) | 1.88669e9 | + | 1.06999e10i | 0.0618009 | + | 0.350490i | ||||
\(419\) | 3.61100e10 | − | 6.36717e9i | 1.17158 | − | 0.206581i | 0.446202 | − | 0.894932i | \(-0.352776\pi\) |
0.725378 | + | 0.688351i | \(0.241665\pi\) | |||||||
\(420\) | −4.55278e10 | − | 1.87135e10i | −1.46312 | − | 0.601393i | ||||
\(421\) | −6.06361e9 | − | 5.08797e9i | −0.193020 | − | 0.161963i | 0.541156 | − | 0.840922i | \(-0.317987\pi\) |
−0.734176 | + | 0.678959i | \(0.762431\pi\) | |||||||
\(422\) | 4.74375e9 | − | 2.73881e9i | 0.149579 | − | 0.0863597i | ||||
\(423\) | 7.55523e9 | + | 1.98050e9i | 0.235986 | + | 0.0618604i | ||||
\(424\) | 1.07192e10 | − | 1.85662e10i | 0.331665 | − | 0.574460i | ||||
\(425\) | −2.52205e8 | − | 6.92927e8i | −0.00773032 | − | 0.0212389i | ||||
\(426\) | 6.37534e9 | − | 6.99551e9i | 0.193582 | − | 0.212413i | ||||
\(427\) | −4.68170e10 | + | 3.92841e10i | −1.40829 | + | 1.18170i | ||||
\(428\) | −1.56506e10 | + | 4.29997e10i | −0.466398 | + | 1.28142i | ||||
\(429\) | 7.31252e9 | + | 2.99376e8i | 0.215893 | + | 0.00883870i | ||||
\(430\) | −5.38607e8 | + | 3.05459e9i | −0.0157543 | + | 0.0893469i | ||||
\(431\) | − | 5.13707e10i | − | 1.48870i | −0.667791 | − | 0.744349i | \(-0.732760\pi\) | ||
0.667791 | − | 0.744349i | \(-0.267240\pi\) | |||||||
\(432\) | −2.22947e10 | + | 2.07660e10i | −0.640129 | + | 0.596237i | ||||
\(433\) | −1.87525e9 | −0.0533468 | −0.0266734 | − | 0.999644i | \(-0.508491\pi\) | ||||
−0.0266734 | + | 0.999644i | \(0.508491\pi\) | |||||||
\(434\) | −8.77022e9 | − | 1.54643e9i | −0.247202 | − | 0.0435884i | ||||
\(435\) | 9.82134e9 | + | 6.21945e9i | 0.274292 | + | 0.173698i | ||||
\(436\) | −2.43292e10 | − | 8.85511e9i | −0.673259 | − | 0.245046i | ||||
\(437\) | 3.08578e10 | + | 3.67748e10i | 0.846133 | + | 1.00838i | ||||
\(438\) | 7.86601e8 | − | 3.59430e9i | 0.0213726 | − | 0.0976602i | ||||
\(439\) | −1.43069e10 | + | 5.20730e9i | −0.385202 | + | 0.140202i | −0.527360 | − | 0.849642i | \(-0.676818\pi\) |
0.142158 | + | 0.989844i | \(0.454596\pi\) | |||||||
\(440\) | 1.53139e10 | + | 8.84146e9i | 0.408577 | + | 0.235892i | ||||
\(441\) | −6.75793e9 | − | 7.26937e10i | −0.178673 | − | 1.92195i | ||||
\(442\) | 2.29470e8 | + | 3.97454e8i | 0.00601225 | + | 0.0104135i | ||||
\(443\) | 2.80078e10 | − | 3.33784e10i | 0.727217 | − | 0.866663i | −0.268094 | − | 0.963393i | \(-0.586394\pi\) |
0.995311 | + | 0.0967298i | \(0.0308383\pi\) | |||||||
\(444\) | 1.89016e10 | + | 2.44950e10i | 0.486371 | + | 0.630299i | ||||
\(445\) | −4.35497e8 | − | 2.46983e9i | −0.0111057 | − | 0.0629835i | ||||
\(446\) | 3.20198e8 | − | 5.64596e7i | 0.00809245 | − | 0.00142692i | ||||
\(447\) | 3.35488e10 | − | 2.58880e10i | 0.840324 | − | 0.648437i | ||||
\(448\) | 3.98749e10 | + | 3.34590e10i | 0.989891 | + | 0.830617i | ||||
\(449\) | −4.37682e10 | + | 2.52696e10i | −1.07690 | + | 0.621746i | −0.930057 | − | 0.367415i | \(-0.880243\pi\) |
−0.146838 | + | 0.989161i | \(0.546910\pi\) | |||||||
\(450\) | 3.35735e8 | + | 4.73978e8i | 0.00818740 | + | 0.0115587i | ||||
\(451\) | 3.44920e10 | − | 5.97418e10i | 0.833703 | − | 1.44402i | ||||
\(452\) | −2.44832e10 | − | 6.72669e10i | −0.586562 | − | 1.61156i | ||||
\(453\) | −5.32840e10 | − | 1.16610e10i | −1.26533 | − | 0.276914i | ||||
\(454\) | 8.22120e9 | − | 6.89840e9i | 0.193514 | − | 0.162377i | ||||
\(455\) | −4.31030e9 | + | 1.18425e10i | −0.100569 | + | 0.276310i | ||||
\(456\) | −1.32779e10 | + | 2.09675e10i | −0.307093 | + | 0.484940i | ||||
\(457\) | 6.63960e9 | − | 3.76550e10i | 0.152222 | − | 0.863293i | −0.809060 | − | 0.587726i | \(-0.800023\pi\) |
0.961282 | − | 0.275567i | \(-0.0888656\pi\) | |||||||
\(458\) | 4.46605e9i | 0.101499i | ||||||||
\(459\) | 5.68612e9 | + | 1.34173e10i | 0.128105 | + | 0.302282i | ||||
\(460\) | 3.82205e10 | 0.853621 | ||||||||
\(461\) | −5.77035e10 | − | 1.01747e10i | −1.27761 | − | 0.225277i | −0.506646 | − | 0.862154i | \(-0.669115\pi\) |
−0.770965 | + | 0.636877i | \(0.780226\pi\) | |||||||
\(462\) | −7.96708e8 | + | 1.94603e10i | −0.0174876 | + | 0.427150i | ||||
\(463\) | 6.30183e10 | + | 2.29368e10i | 1.37133 | + | 0.499124i | 0.919539 | − | 0.392999i | \(-0.128562\pi\) |
0.451793 | + | 0.892123i | \(0.350785\pi\) | |||||||
\(464\) | −8.76938e9 | − | 1.04509e10i | −0.189190 | − | 0.225467i | ||||
\(465\) | 2.37652e10 | + | 2.16583e10i | 0.508311 | + | 0.463248i | ||||
\(466\) | −2.24235e9 | + | 8.16148e8i | −0.0475510 | + | 0.0173071i | ||||
\(467\) | −7.50725e9 | − | 4.33431e9i | −0.157839 | − | 0.0911281i | 0.419000 | − | 0.907986i | \(-0.362381\pi\) |
−0.576839 | + | 0.816858i | \(0.695714\pi\) | |||||||
\(468\) | 5.81402e9 | + | 5.75121e9i | 0.121197 | + | 0.119888i | ||||
\(469\) | 1.25653e10 | + | 2.17637e10i | 0.259705 | + | 0.449823i | ||||
\(470\) | 1.51924e9 | − | 1.81056e9i | 0.0311340 | − | 0.0371041i | ||||
\(471\) | −1.79424e10 | + | 4.36518e10i | −0.364584 | + | 0.886989i | ||||
\(472\) | −6.16259e9 | − | 3.49498e10i | −0.124164 | − | 0.704168i | ||||
\(473\) | −2.73418e10 | + | 4.82110e9i | −0.546239 | + | 0.0963167i | ||||
\(474\) | 1.58806e9 | + | 1.18145e10i | 0.0314596 | + | 0.234046i | ||||
\(475\) | −3.82583e9 | − | 3.21026e9i | −0.0751539 | − | 0.0630616i | ||||
\(476\) | 2.39279e10 | − | 1.38148e10i | 0.466097 | − | 0.269101i | ||||
\(477\) | −7.01022e10 | − | 4.85208e10i | −1.35412 | − | 0.937247i | ||||
\(478\) | −3.58827e9 | + | 6.21507e9i | −0.0687344 | + | 0.119051i | ||||
\(479\) | 1.03071e10 | + | 2.83185e10i | 0.195792 | + | 0.537933i | 0.998273 | − | 0.0587442i | \(-0.0187096\pi\) |
−0.802482 | + | 0.596677i | \(0.796487\pi\) | |||||||
\(480\) | 9.05408e9 | + | 2.84463e10i | 0.170561 | + | 0.535871i | ||||
\(481\) | 6.06813e9 | − | 5.09176e9i | 0.113364 | − | 0.0951235i | ||||
\(482\) | 1.83592e9 | − | 5.04414e9i | 0.0340146 | − | 0.0934543i | ||||
\(483\) | 3.99432e10 | + | 7.62241e10i | 0.733930 | + | 1.40057i | ||||
\(484\) | −4.31970e9 | + | 2.44982e10i | −0.0787176 | + | 0.446429i | ||||
\(485\) | − | 8.54785e10i | − | 1.54486i | ||||||
\(486\) | −7.11067e9 | − | 9.01077e9i | −0.127457 | − | 0.161516i | ||||
\(487\) | 2.41067e10 | 0.428570 | 0.214285 | − | 0.976771i | \(-0.431258\pi\) | ||||
0.214285 | + | 0.976771i | \(0.431258\pi\) | |||||||
\(488\) | 2.41599e10 | + | 4.26005e9i | 0.426007 | + | 0.0751165i | ||||
\(489\) | −7.53048e10 | + | 3.94615e10i | −1.31700 | + | 0.690141i | ||||
\(490\) | −2.07602e10 | − | 7.55609e9i | −0.360120 | − | 0.131073i | ||||
\(491\) | 3.30867e10 | + | 3.94312e10i | 0.569282 | + | 0.678444i | 0.971483 | − | 0.237108i | \(-0.0761994\pi\) |
−0.402202 | + | 0.915551i | \(0.631755\pi\) | |||||||
\(492\) | 7.34529e10 | − | 2.33791e10i | 1.25357 | − | 0.398995i | ||||
\(493\) | −6.13166e9 | + | 2.23174e9i | −0.103798 | + | 0.0377795i | ||||
\(494\) | 2.69189e9 | + | 1.55416e9i | 0.0452011 | + | 0.0260969i | ||||
\(495\) | 4.00211e10 | − | 5.78219e10i | 0.666604 | − | 0.963101i | ||||
\(496\) | −1.88674e10 | − | 3.26793e10i | −0.311735 | − | 0.539940i | ||||
\(497\) | −9.37729e10 | + | 1.11754e11i | −1.53692 | + | 1.83163i | ||||
\(498\) | −1.22755e10 | + | 1.65003e9i | −0.199583 | + | 0.0268272i | ||||
\(499\) | −5.22963e9 | − | 2.96587e10i | −0.0843468 | − | 0.478355i | −0.997496 | − | 0.0707282i | \(-0.977468\pi\) |
0.913149 | − | 0.407626i | \(-0.133643\pi\) | |||||||
\(500\) | −6.07955e10 | + | 1.07199e10i | −0.972728 | + | 0.171518i | ||||
\(501\) | 1.84393e10 | + | 7.57921e9i | 0.292681 | + | 0.120302i | ||||
\(502\) | 1.68954e9 | + | 1.41769e9i | 0.0266044 | + | 0.0223238i | ||||
\(503\) | −1.24574e10 | + | 7.19230e9i | −0.194606 | + | 0.112356i | −0.594137 | − | 0.804364i | \(-0.702506\pi\) |
0.399531 | + | 0.916720i | \(0.369173\pi\) | |||||||
\(504\) | −3.12871e10 | + | 3.16288e10i | −0.484890 | + | 0.490186i | ||||
\(505\) | −3.58862e10 | + | 6.21567e10i | −0.551774 | + | 0.955701i | ||||
\(506\) | −5.17233e9 | − | 1.42109e10i | −0.0789013 | − | 0.216779i | ||||
\(507\) | −4.30963e10 | + | 4.72885e10i | −0.652241 | + | 0.715688i | ||||
\(508\) | −5.44450e10 | + | 4.56848e10i | −0.817529 | + | 0.685989i | ||||
\(509\) | 2.93880e10 | − | 8.07429e10i | 0.437824 | − | 1.20291i | −0.503081 | − | 0.864239i | \(-0.667800\pi\) |
0.940905 | − | 0.338671i | \(-0.109977\pi\) | |||||||
\(510\) | 4.40603e9 | + | 1.80384e8i | 0.0651279 | + | 0.00266635i | ||||
\(511\) | −9.84787e9 | + | 5.58500e10i | −0.144430 | + | 0.819105i | ||||
\(512\) | − | 5.92477e10i | − | 0.862168i | ||||||
\(513\) | 7.87880e10 | + | 5.94426e10i | 1.13760 | + | 0.858279i | ||||
\(514\) | −1.23932e10 | −0.177554 | ||||||||
\(515\) | −2.15239e10 | − | 3.79524e9i | −0.305979 | − | 0.0539524i | ||||
\(516\) | −2.62101e10 | − | 1.65978e10i | −0.369718 | − | 0.234127i | ||||
\(517\) | 1.98801e10 | + | 7.23577e9i | 0.278264 | + | 0.101280i | ||||
\(518\) | 1.35503e10 | + | 1.61487e10i | 0.188205 | + | 0.224294i | ||||
\(519\) | 6.62570e9 | − | 3.02755e10i | 0.0913192 | − | 0.417274i | ||||
\(520\) | 4.75375e9 | − | 1.73022e9i | 0.0650164 | − | 0.0236640i | ||||
\(521\) | 3.91268e8 | + | 2.25899e8i | 0.00531036 | + | 0.00306594i | 0.502653 | − | 0.864488i | \(-0.332357\pi\) |
−0.497342 | + | 0.867554i | \(0.665691\pi\) | |||||||
\(522\) | 4.19420e9 | − | 2.97089e9i | 0.0564894 | − | 0.0400133i | ||||
\(523\) | 3.63173e10 | + | 6.29034e10i | 0.485408 | + | 0.840751i | 0.999859 | − | 0.0167684i | \(-0.00533780\pi\) |
−0.514452 | + | 0.857519i | \(0.672004\pi\) | |||||||
\(524\) | −2.36931e10 | + | 2.82363e10i | −0.314265 | + | 0.374526i | ||||
\(525\) | −5.46933e9 | − | 7.08783e9i | −0.0719942 | − | 0.0932989i | ||||
\(526\) | 1.38309e9 | + | 7.84388e9i | 0.0180679 | + | 0.102468i | ||||
\(527\) | −1.77739e10 | + | 3.13402e9i | −0.230431 | + | 0.0406312i | ||||
\(528\) | −6.53362e10 | + | 5.04167e10i | −0.840656 | + | 0.648693i | ||||
\(529\) | 8.80320e9 | + | 7.38676e9i | 0.112413 | + | 0.0943260i | ||||
\(530\) | −2.23427e10 | + | 1.28996e10i | −0.283160 | + | 0.163483i | ||||
\(531\) | −1.40526e11 | + | 1.30639e10i | −1.76758 | + | 0.164322i | ||||
\(532\) | 9.35652e10 | − | 1.62060e11i | 1.16807 | − | 2.02315i | ||||
\(533\) | −6.74988e9 | − | 1.85451e10i | −0.0836349 | − | 0.229785i | ||||
\(534\) | −1.08320e9 | − | 2.37056e8i | −0.0133212 | − | 0.00291531i | ||||
\(535\) | 8.62324e10 | − | 7.23576e10i | 1.05258 | − | 0.883220i | ||||
\(536\) | 3.45023e9 | − | 9.47943e9i | 0.0418012 | − | 0.114848i | ||||
\(537\) | 8.80941e9 | − | 1.39112e10i | 0.105937 | − | 0.167289i | ||||
\(538\) | −1.62291e9 | + | 9.20397e9i | −0.0193716 | + | 0.109862i | ||||
\(539\) | − | 1.97751e11i | − | 2.34296i | ||||||
\(540\) | 7.65742e10 | − | 1.76318e10i | 0.900550 | − | 0.207359i | ||||
\(541\) | 1.03907e11 | 1.21298 | 0.606491 | − | 0.795091i | \(-0.292577\pi\) | ||||
0.606491 | + | 0.795091i | \(0.292577\pi\) | |||||||
\(542\) | 1.56453e10 | + | 2.75870e9i | 0.181296 | + | 0.0319674i | ||||
\(543\) | −2.02386e9 | + | 4.94344e10i | −0.0232799 | + | 0.568630i | ||||
\(544\) | −1.57458e10 | − | 5.73100e9i | −0.179791 | − | 0.0654387i | ||||
\(545\) | 4.09399e10 | + | 4.87902e10i | 0.464045 | + | 0.553028i | ||||
\(546\) | 4.11830e9 | + | 3.75320e9i | 0.0463391 | + | 0.0422310i | ||||
\(547\) | 2.07308e10 | − | 7.54538e9i | 0.231561 | − | 0.0842814i | −0.223633 | − | 0.974673i | \(-0.571792\pi\) |
0.455195 | + | 0.890392i | \(0.349570\pi\) | |||||||
\(548\) | 1.40020e11 | + | 8.08405e10i | 1.55263 | + | 0.896410i | ||||
\(549\) | 2.47384e10 | − | 9.43724e10i | 0.272322 | − | 1.03886i | ||||
\(550\) | 7.86646e8 | + | 1.36251e9i | 0.00859664 | + | 0.0148898i | ||||
\(551\) | −2.84073e10 | + | 3.38545e10i | −0.308193 | + | 0.367291i | ||||
\(552\) | 1.31327e10 | − | 3.19504e10i | 0.141449 | − | 0.344128i | ||||
\(553\) | −3.19060e10 | − | 1.80948e11i | −0.341170 | − | 1.93487i | ||||
\(554\) | −6.43075e9 | + | 1.13391e9i | −0.0682688 | + | 0.0120376i | ||||
\(555\) | −1.01396e10 | − | 7.54341e10i | −0.106868 | − | 0.795052i | ||||
\(556\) | 9.81633e10 | + | 8.23688e10i | 1.02719 | + | 0.861913i | ||||
\(557\) | −1.00807e11 | + | 5.82008e10i | −1.04729 | + | 0.604656i | −0.921891 | − | 0.387450i | \(-0.873356\pi\) |
−0.125404 | + | 0.992106i | \(0.540023\pi\) | |||||||
\(558\) | 1.28515e10 | − | 6.07795e9i | 0.132561 | − | 0.0626932i | ||||
\(559\) | −3.97139e9 | + | 6.87865e9i | −0.0406720 | + | 0.0704459i | ||||
\(560\) | −4.86040e10 | − | 1.33538e11i | −0.494219 | − | 1.35786i | ||||
\(561\) | 1.19715e10 | + | 3.76124e10i | 0.120864 | + | 0.379734i | ||||
\(562\) | 3.06655e9 | − | 2.57314e9i | 0.0307401 | − | 0.0257940i | ||||
\(563\) | −1.04359e10 | + | 2.86725e10i | −0.103872 | + | 0.285386i | −0.980731 | − | 0.195361i | \(-0.937412\pi\) |
0.876860 | + | 0.480747i | \(0.159634\pi\) | |||||||
\(564\) | 1.09727e10 | + | 2.09392e10i | 0.108442 | + | 0.206940i | ||||
\(565\) | −3.05790e10 | + | 1.73422e11i | −0.300074 | + | 1.70181i | ||||
\(566\) | − | 3.18284e10i | − | 0.310134i | ||||||
\(567\) | 1.15189e11 | + | 1.34287e11i | 1.11450 | + | 1.29928i | ||||
\(568\) | 5.85604e10 | 0.562615 | ||||||||
\(569\) | −7.50849e10 | − | 1.32395e10i | −0.716314 | − | 0.126305i | −0.196400 | − | 0.980524i | \(-0.562925\pi\) |
−0.519914 | + | 0.854219i | \(0.674036\pi\) | |||||||
\(570\) | 2.64542e10 | − | 1.38626e10i | 0.250608 | − | 0.131325i | ||||
\(571\) | −1.53807e11 | − | 5.59810e10i | −1.44687 | − | 0.526619i | −0.505157 | − | 0.863027i | \(-0.668566\pi\) |
−0.941716 | + | 0.336408i | \(0.890788\pi\) | |||||||
\(572\) | 1.42386e10 | + | 1.69689e10i | 0.133010 | + | 0.158515i | ||||
\(573\) | −1.24154e10 | + | 3.95166e9i | −0.115171 | + | 0.0366574i | ||||
\(574\) | 4.93528e10 | − | 1.79630e10i | 0.454637 | − | 0.165474i | ||||
\(575\) | 6.02015e9 | + | 3.47573e9i | 0.0550726 | + | 0.0317962i | ||||
\(576\) | −8.28163e10 | − | 6.79243e9i | −0.752360 | − | 0.0617071i | ||||
\(577\) | −3.03217e10 | − | 5.25187e10i | −0.273559 | − | 0.473818i | 0.696212 | − | 0.717836i | \(-0.254867\pi\) |
−0.969770 | + | 0.244019i | \(0.921534\pi\) | |||||||
\(578\) | 1.31701e10 | − | 1.56955e10i | 0.117998 | − | 0.140625i | ||||
\(579\) | 1.06369e10 | − | 1.42978e9i | 0.0946461 | − | 0.0127220i | ||||
\(580\) | 6.10987e9 | + | 3.46508e10i | 0.0539909 | + | 0.306197i | ||||
\(581\) | 1.88009e11 | − | 3.31511e10i | 1.64996 | − | 0.290933i | ||||
\(582\) | −3.49552e10 | − | 1.43678e10i | −0.304663 | − | 0.125227i | ||||
\(583\) | −1.76902e11 | − | 1.48439e11i | −1.53130 | − | 1.28491i | ||||
\(584\) | 1.97150e10 | − | 1.13825e10i | 0.169491 | − | 0.0978554i | ||||
\(585\) | −5.31237e9 | − | 1.94038e10i | −0.0453591 | − | 0.165678i | ||||
\(586\) | −8.42431e8 | + | 1.45913e9i | −0.00714404 | + | 0.0123738i | ||||
\(587\) | 2.20481e10 | + | 6.05765e10i | 0.185703 | + | 0.510214i | 0.997253 | − | 0.0740686i | \(-0.0235984\pi\) |
−0.811551 | + | 0.584282i | \(0.801376\pi\) | |||||||
\(588\) | 1.48843e11 | − | 1.63322e11i | 1.24514 | − | 1.36626i | ||||
\(589\) | −9.36389e10 | + | 7.85724e10i | −0.778028 | + | 0.652843i | ||||
\(590\) | −1.46069e10 | + | 4.01320e10i | −0.120545 | + | 0.331194i | ||||
\(591\) | 4.92054e9 | + | 2.01448e8i | 0.0403332 | + | 0.00165125i | ||||
\(592\) | −1.55108e10 | + | 8.79663e10i | −0.126284 | + | 0.716192i | ||||
\(593\) | 8.45828e10i | 0.684011i | 0.939698 | + | 0.342006i | \(0.111106\pi\) | ||||
−0.939698 | + | 0.342006i | \(0.888894\pi\) | |||||||
\(594\) | −1.69184e10 | − | 2.60852e10i | −0.135898 | − | 0.209531i | ||||
\(595\) | −6.79690e10 | −0.542304 | ||||||||
\(596\) | 1.26310e11 | + | 2.22719e10i | 1.00105 | + | 0.176511i | ||||
\(597\) | 4.33287e10 | + | 2.74383e10i | 0.341098 | + | 0.216003i | ||||
\(598\) | −4.06553e9 | − | 1.47973e9i | −0.0317916 | − | 0.0115712i | ||||
\(599\) | 1.36255e10 | + | 1.62383e10i | 0.105839 | + | 0.126134i | 0.816364 | − | 0.577538i | \(-0.195987\pi\) |
−0.710524 | + | 0.703673i | \(0.751542\pi\) | |||||||
\(600\) | −7.68300e8 | + | 3.51067e9i | −0.00592824 | + | 0.0270885i | ||||
\(601\) | 8.36696e9 | − | 3.04533e9i | 0.0641313 | − | 0.0233419i | −0.309755 | − | 0.950816i | \(-0.600247\pi\) |
0.373887 | + | 0.927474i | \(0.378025\pi\) | |||||||
\(602\) | −1.83056e10 | − | 1.05688e10i | −0.139380 | − | 0.0804708i | ||||
\(603\) | −3.64499e10 | − | 1.67564e10i | −0.275694 | − | 0.126740i | ||||
\(604\) | −8.25458e10 | − | 1.42973e11i | −0.620222 | − | 1.07426i | ||||
\(605\) | 3.93357e10 | − | 4.68785e10i | 0.293606 | − | 0.349907i | ||||
\(606\) | 1.93861e10 | + | 2.51229e10i | 0.143747 | + | 0.186285i | ||||
\(607\) | 3.13171e10 | + | 1.77608e11i | 0.230689 | + | 1.30830i | 0.851506 | + | 0.524345i | \(0.175690\pi\) |
−0.620817 | + | 0.783955i | \(0.713199\pi\) | |||||||
\(608\) | −1.11764e11 | + | 1.97070e10i | −0.817874 | + | 0.144213i | ||||
\(609\) | −6.27197e10 | + | 4.83977e10i | −0.455968 | + | 0.351848i | ||||
\(610\) | −2.26157e10 | − | 1.89769e10i | −0.163340 | − | 0.137058i | ||||
\(611\) | 5.24156e9 | − | 3.02621e9i | 0.0376093 | − | 0.0217138i | ||||
\(612\) | −1.84227e10 | + | 4.00745e10i | −0.131325 | + | 0.285669i | ||||
\(613\) | −9.37926e10 | + | 1.62454e11i | −0.664243 | + | 1.15050i | 0.315248 | + | 0.949009i | \(0.397912\pi\) |
−0.979490 | + | 0.201492i | \(0.935421\pi\) | |||||||
\(614\) | −8.39590e8 | − | 2.30675e9i | −0.00590736 | − | 0.0162303i | ||||
\(615\) | −1.85243e11 | − | 4.05398e10i | −1.29491 | − | 0.283388i | ||||
\(616\) | −9.23124e10 | + | 7.74593e10i | −0.641117 | + | 0.537961i | ||||
\(617\) | 6.58893e9 | − | 1.81029e10i | 0.0454647 | − | 0.124913i | −0.914882 | − | 0.403720i | \(-0.867717\pi\) |
0.960347 | + | 0.278807i | \(0.0899391\pi\) | |||||||
\(618\) | −5.16990e9 | + | 8.16396e9i | −0.0354428 | + | 0.0559689i | ||||
\(619\) | 3.75319e10 | − | 2.12854e11i | 0.255646 | − | 1.44984i | −0.538764 | − | 0.842457i | \(-0.681109\pi\) |
0.794410 | − | 0.607382i | \(-0.207780\pi\) | |||||||
\(620\) | 9.73200e10i | 0.658621i | ||||||||
\(621\) | −1.22365e11 | − | 6.24375e10i | −0.822796 | − | 0.419836i | ||||
\(622\) | 4.78252e10 | 0.319518 | ||||||||
\(623\) | 1.68313e10 | + | 2.96782e9i | 0.111729 | + | 0.0197009i | ||||
\(624\) | −9.65781e8 | + | 2.35900e10i | −0.00637001 | + | 0.155593i | ||||
\(625\) | 1.32835e11 | + | 4.83479e10i | 0.870547 | + | 0.316853i | ||||
\(626\) | 1.33620e10 | + | 1.59242e10i | 0.0870107 | + | 0.103695i | ||||
\(627\) | 1.97590e11 | + | 1.80073e11i | 1.27848 | + | 1.16514i | ||||
\(628\) | −1.34232e11 | + | 4.88563e10i | −0.863011 | + | 0.314110i | ||||
\(629\) | 3.69987e10 | + | 2.13612e10i | 0.236365 | + | 0.136466i | ||||
\(630\) | 5.16380e10 | − | 1.41374e10i | 0.327798 | − | 0.0897444i | ||||
\(631\) | 1.52109e11 | + | 2.63460e11i | 0.959482 | + | 1.66187i | 0.723760 | + | 0.690052i | \(0.242412\pi\) |
0.235722 | + | 0.971820i | \(0.424254\pi\) | |||||||
\(632\) | −4.74093e10 | + | 5.65002e10i | −0.297163 | + | 0.354145i | ||||
\(633\) | 5.12387e10 | − | 1.24658e11i | 0.319141 | − | 0.776433i | ||||
\(634\) | 6.54638e9 | + | 3.71263e10i | 0.0405176 | + | 0.229787i | ||||
\(635\) | 1.72184e11 | − | 3.03607e10i | 1.05900 | − | 0.186731i | ||||
\(636\) | −3.43762e10 | − | 2.55744e11i | −0.210102 | − | 1.56307i | ||||
\(637\) | −4.33381e10 | − | 3.63650e10i | −0.263216 | − | 0.220865i | ||||
\(638\) | 1.20568e10 | − | 6.96097e9i | 0.0727692 | − | 0.0420133i | ||||
\(639\) | 1.90366e10 | − | 2.32103e11i | 0.114179 | − | 1.39212i | ||||
\(640\) | −5.97467e10 | + | 1.03484e11i | −0.356118 | + | 0.616814i | ||||
\(641\) | 7.60783e10 | + | 2.09023e11i | 0.450639 | + | 1.23812i | 0.932276 | + | 0.361749i | \(0.117820\pi\) |
−0.481637 | + | 0.876371i | \(0.659958\pi\) | |||||||
\(642\) | −1.50951e10 | − | 4.74259e10i | −0.0888576 | − | 0.279174i | ||||
\(643\) | 2.07474e11 | − | 1.74091e11i | 1.21372 | − | 1.01844i | 0.214595 | − | 0.976703i | \(-0.431157\pi\) |
0.999129 | − | 0.0417321i | \(-0.0132876\pi\) | |||||||
\(644\) | −8.90842e10 | + | 2.44757e11i | −0.517913 | + | 1.42295i | ||||
\(645\) | 3.54235e10 | + | 6.75991e10i | 0.204669 | + | 0.390573i | ||||
\(646\) | −2.91106e9 | + | 1.65095e10i | −0.0167156 | + | 0.0947988i | ||||
\(647\) | − | 2.00279e9i | − | 0.0114293i | −0.999984 | − | 0.00571463i | \(-0.998181\pi\) | ||
0.999984 | − | 0.00571463i | \(-0.00181903\pi\) | |||||||
\(648\) | 1.15719e10 | − | 7.00705e10i | 0.0656305 | − | 0.397407i | ||||
\(649\) | −3.82278e11 | −2.15477 | ||||||||
\(650\) | 4.43259e8 | + | 7.81586e7i | 0.00248316 | + | 0.000437848i | ||||
\(651\) | −1.94088e11 | + | 1.01707e11i | −1.08062 | + | 0.566272i | ||||
\(652\) | −2.41805e11 | − | 8.80098e10i | −1.33806 | − | 0.487013i | ||||
\(653\) | −1.92647e11 | − | 2.29588e11i | −1.05952 | − | 1.26269i | −0.963614 | − | 0.267299i | \(-0.913869\pi\) |
−0.0959083 | − | 0.995390i | \(-0.530576\pi\) | |||||||
\(654\) | 2.68335e10 | − | 8.54077e9i | 0.146679 | − | 0.0466859i | ||||
\(655\) | 8.52072e10 | − | 3.10129e10i | 0.462925 | − | 0.168491i | ||||
\(656\) | 1.92726e11 | + | 1.11270e11i | 1.04070 | + | 0.600846i | ||||
\(657\) | −3.87052e10 | − | 8.18401e10i | −0.207734 | − | 0.439243i | ||||
\(658\) | 8.05344e9 | + | 1.39490e10i | 0.0429614 | + | 0.0744112i | ||||
\(659\) | 1.37639e11 | − | 1.64032e11i | 0.729794 | − | 0.869734i | −0.265749 | − | 0.964042i | \(-0.585619\pi\) |
0.995543 | + | 0.0943079i | \(0.0300638\pi\) | |||||||
\(660\) | 2.10944e11 | − | 2.83543e10i | 1.11171 | − | 0.149432i | ||||
\(661\) | 3.06780e10 | + | 1.73984e11i | 0.160702 | + | 0.911386i | 0.953386 | + | 0.301753i | \(0.0975719\pi\) |
−0.792684 | + | 0.609633i | \(0.791317\pi\) | |||||||
\(662\) | −4.88305e10 | + | 8.61014e9i | −0.254249 | + | 0.0448310i | ||||
\(663\) | 1.04444e10 | + | 4.29302e9i | 0.0540542 | + | 0.0222182i | ||||
\(664\) | −5.87052e10 | − | 4.92595e10i | −0.301998 | − | 0.253406i | ||||
\(665\) | −3.98668e11 | + | 2.30171e11i | −2.03857 | + | 1.17697i | ||||
\(666\) | −3.25520e10 | − | 8.53306e9i | −0.165455 | − | 0.0433718i | ||||
\(667\) | 3.07565e10 | − | 5.32718e10i | 0.155394 | − | 0.269150i | ||||
\(668\) | 2.06378e10 | + | 5.67020e10i | 0.103647 | + | 0.284769i | ||||
\(669\) | 5.38873e9 | − | 5.91292e9i | 0.0269018 | − | 0.0295187i | ||||
\(670\) | −9.29957e9 | + | 7.80327e9i | −0.0461491 | + | 0.0387237i | ||||
\(671\) | 9.03821e10 | − | 2.48323e11i | 0.445853 | − | 1.22497i | ||||
\(672\) | −2.03268e11 | − | 8.32183e9i | −0.996761 | − | 0.0408076i | ||||
\(673\) | 5.10778e10 | − | 2.89676e11i | 0.248984 | − | 1.41206i | −0.562071 | − | 0.827089i | \(-0.689995\pi\) |
0.811055 | − | 0.584970i | \(-0.198894\pi\) | |||||||
\(674\) | 1.71683e10i | 0.0831932i | ||||||||
\(675\) | 1.36647e10 | + | 4.18638e9i | 0.0658241 | + | 0.0201662i | ||||
\(676\) | −1.93650e11 | −0.927320 | ||||||||
\(677\) | 1.66165e11 | + | 2.92994e10i | 0.791015 | + | 0.139477i | 0.554537 | − | 0.832159i | \(-0.312896\pi\) |
0.236479 | + | 0.971637i | \(0.424007\pi\) | |||||||
\(678\) | 6.57785e10 | + | 4.16548e10i | 0.311290 | + | 0.197127i | ||||
\(679\) | 5.47388e11 | + | 1.99233e11i | 2.57523 | + | 0.937307i | ||||
\(680\) | 1.75377e10 | + | 2.09006e10i | 0.0820232 | + | 0.0977515i | ||||
\(681\) | 5.64532e10 | − | 2.57957e11i | 0.262483 | − | 1.19939i | ||||
\(682\) | 3.61848e10 | − | 1.31702e10i | 0.167259 | − | 0.0608771i | ||||
\(683\) | 5.30164e10 | + | 3.06090e10i | 0.243628 | + | 0.140659i | 0.616843 | − | 0.787086i | \(-0.288411\pi\) |
−0.373215 | + | 0.927745i | \(0.621745\pi\) | |||||||
\(684\) | 2.76515e10 | + | 2.97442e11i | 0.126327 | + | 1.35887i | ||||
\(685\) | −1.98868e11 | − | 3.44450e11i | −0.903240 | − | 1.56446i | ||||
\(686\) | 4.66389e10 | − | 5.55821e10i | 0.210597 | − | 0.250980i | ||||
\(687\) | 6.71320e10 | + | 8.69979e10i | 0.301372 | + | 0.390555i | ||||
\(688\) | −1.55527e10 | − | 8.82040e10i | −0.0694150 | − | 0.393672i | ||||
\(689\) | −6.50620e10 | + | 1.14722e10i | −0.288703 | + | 0.0509060i | ||||
\(690\) | −3.29113e10 | + | 2.53961e10i | −0.145194 | + | 0.112039i | ||||
\(691\) | 2.97075e11 | + | 2.49275e11i | 1.30303 | + | 1.09337i | 0.989613 | + | 0.143754i | \(0.0459173\pi\) |
0.313414 | + | 0.949616i | \(0.398527\pi\) | |||||||
\(692\) | 8.12362e10 | − | 4.69018e10i | 0.354263 | − | 0.204534i | ||||
\(693\) | 2.76999e11 | + | 3.91058e11i | 1.20101 | + | 1.69554i | ||||
\(694\) | −2.83247e10 | + | 4.90599e10i | −0.122103 | + | 0.211489i | ||||
\(695\) | −1.07816e11 | − | 2.96222e11i | −0.462109 | − | 1.26963i | ||||
\(696\) | 3.10657e10 | + | 6.79863e9i | 0.132386 | + | 0.0289724i | ||||
\(697\) | 8.15367e10 | − | 6.84174e10i | 0.345479 | − | 0.289892i | ||||
\(698\) | −8.66543e9 | + | 2.38081e10i | −0.0365063 | + | 0.100300i | ||||
\(699\) | −3.14125e10 | + | 4.96046e10i | −0.131581 | + | 0.207784i | ||||
\(700\) | 4.70537e9 | − | 2.66855e10i | 0.0195976 | − | 0.111143i | ||||
\(701\) | − | 5.50796e10i | − | 0.228096i | −0.993475 | − | 0.114048i | \(-0.963618\pi\) | ||
0.993475 | − | 0.114048i | \(-0.0363818\pi\) | |||||||
\(702\) | −8.82786e9 | − | 1.08911e9i | −0.0363502 | − | 0.00448462i | ||||
\(703\) | 2.89352e11 | 1.18469 | ||||||||
\(704\) | −2.21655e11 | − | 3.90838e10i | −0.902375 | − | 0.159113i | ||||
\(705\) | 2.37888e9 | − | 5.81060e10i | 0.00962976 | − | 0.235215i | ||||
\(706\) | −3.65485e10 | − | 1.33026e10i | −0.147113 | − | 0.0535447i | ||||
\(707\) | −3.14396e11 | − | 3.74682e11i | −1.25834 | − | 1.49964i | ||||
\(708\) | −3.15721e11 | − | 2.87731e11i | −1.25652 | − | 1.14513i | ||||
\(709\) | 9.30404e10 | − | 3.38639e10i | 0.368202 | − | 0.134015i | −0.151291 | − | 0.988489i | \(-0.548343\pi\) |
0.519493 | + | 0.854475i | \(0.326121\pi\) | |||||||
\(710\) | −6.10306e10 | − | 3.52360e10i | −0.240167 | − | 0.138661i | ||||
\(711\) | 2.08525e11 | + | 2.06272e11i | 0.815982 | + | 0.807166i | ||||
\(712\) | −3.43030e9 | − | 5.94145e9i | −0.0133479 | − | 0.0231192i | ||||
\(713\) | 1.09364e11 | − | 1.30335e11i | 0.423171 | − | 0.504316i | ||||
\(714\) | −1.14247e10 | + | 2.77949e10i | −0.0439594 | + | 0.106948i | ||||
\(715\) | −9.46253e9 | − | 5.36646e10i | −0.0362062 | − | 0.205336i | ||||
\(716\) | 4.90804e10 | − | 8.65420e9i | 0.186748 | − | 0.0329287i | ||||
\(717\) | 2.35237e10 | + | 1.75006e11i | 0.0890079 | + | 0.662181i | ||||
\(718\) | 2.29774e10 | + | 1.92803e10i | 0.0864576 | + | 0.0725465i | ||||
\(719\) | 2.21541e11 | − | 1.27907e11i | 0.828968 | − | 0.478605i | −0.0245313 | − | 0.999699i | \(-0.507809\pi\) |
0.853499 | + | 0.521094i | \(0.174476\pi\) | |||||||
\(720\) | 1.86532e11 | + | 1.29107e11i | 0.694102 | + | 0.480418i | ||||
\(721\) | 7.44718e10 | − | 1.28989e11i | 0.275582 | − | 0.477322i | ||||
\(722\) | 1.97109e10 | + | 5.41553e10i | 0.0725368 | + | 0.199293i | ||||
\(723\) | −4.00583e10 | − | 1.25856e11i | −0.146602 | − | 0.460596i | ||||
\(724\) | −1.14714e11 | + | 9.62564e10i | −0.417505 | + | 0.350329i | ||||
\(725\) | −2.18874e9 | + | 6.01351e9i | −0.00792213 | + | 0.0217659i | ||||
\(726\) | −1.25585e10 | − | 2.39654e10i | −0.0452054 | − | 0.0862659i | ||||
\(727\) | 1.05428e10 | − | 5.97912e10i | 0.0377414 | − | 0.214042i | −0.960105 | − | 0.279641i | \(-0.909785\pi\) |
0.997846 | + | 0.0655987i | \(0.0208957\pi\) | |||||||
\(728\) | 3.44749e10i | 0.122738i | ||||||||
\(729\) | −2.73961e11 | − | 6.86433e10i | −0.970015 | − | 0.243046i | ||||
\(730\) | −2.73955e10 | −0.0964689 | ||||||||
\(731\) | −4.21870e10 | − | 7.43871e9i | −0.147744 | − | 0.0260512i | ||||
\(732\) | 2.61552e11 | − | 1.37060e11i | 0.910991 | − | 0.477381i | ||||
\(733\) | −4.73428e10 | − | 1.72314e10i | −0.163998 | − | 0.0596903i | 0.258717 | − | 0.965953i | \(-0.416700\pi\) |
−0.422714 | + | 0.906263i | \(0.638923\pi\) | |||||||
\(734\) | −1.32781e10 | − | 1.58242e10i | −0.0457457 | − | 0.0545176i | ||||
\(735\) | −5.17985e11 | + | 1.64868e11i | −1.77488 | + | 0.564920i | ||||
\(736\) | 1.48436e11 | − | 5.40263e10i | 0.505858 | − | 0.184117i | ||||
\(737\) | −9.41051e10 | − | 5.43316e10i | −0.318965 | − | 0.184155i | ||||
\(738\) | −4.77151e10 | + | 6.89381e10i | −0.160853 | + | 0.232399i | ||||
\(739\) | 2.34907e11 | + | 4.06871e11i | 0.787624 | + | 1.36420i | 0.927419 | + | 0.374024i | \(0.122022\pi\) |
−0.139796 | + | 0.990180i | \(0.544645\pi\) | |||||||
\(740\) | 1.48079e11 | − | 1.76473e11i | 0.493817 | − | 0.588508i | ||||
\(741\) | 7.57991e10 | − | 1.01886e10i | 0.251415 | − | 0.0337943i | ||||
\(742\) | −3.05301e10 | − | 1.73145e11i | −0.100719 | − | 0.571207i | ||||
\(743\) | −5.04740e11 | + | 8.89993e10i | −1.65620 | + | 0.292033i | −0.922083 | − | 0.386991i | \(-0.873514\pi\) |
−0.734116 | + | 0.679024i | \(0.762403\pi\) | |||||||
\(744\) | 8.13545e10 | + | 3.34396e10i | 0.265515 | + | 0.109136i | ||||
\(745\) | −2.41701e11 | − | 2.02811e11i | −0.784608 | − | 0.658364i | ||||
\(746\) | −7.17990e10 | + | 4.14532e10i | −0.231827 | + | 0.133845i | ||||
\(747\) | −2.14322e11 | + | 2.16663e11i | −0.688311 | + | 0.695830i | ||||
\(748\) | −5.97344e10 | + | 1.03463e11i | −0.190818 | + | 0.330506i | ||||
\(749\) | 2.62374e11 | + | 7.20866e11i | 0.833668 | + | 2.29049i | ||||
\(750\) | 4.52275e10 | − | 4.96271e10i | 0.142941 | − | 0.156846i | ||||
\(751\) | 2.12965e10 | − | 1.78699e10i | 0.0669498 | − | 0.0561776i | −0.608699 | − | 0.793401i | \(-0.708308\pi\) |
0.675649 | + | 0.737224i | \(0.263864\pi\) | |||||||
\(752\) | −2.33424e10 | + | 6.41327e10i | −0.0729918 | + | 0.200543i | ||||
\(753\) | 5.42222e10 | + | 2.21987e9i | 0.168654 | + | 0.00690475i | ||||
\(754\) | 6.91619e8 | − | 3.92237e9i | 0.00213984 | − | 0.0121356i | ||||
\(755\) | 4.06127e11i | 1.24990i | ||||||||
\(756\) | −6.55679e10 | + | 5.31463e11i | −0.200726 | + | 1.62699i | ||||
\(757\) | −3.59044e11 | −1.09336 | −0.546681 | − | 0.837341i | \(-0.684109\pi\) | ||||
−0.546681 | + | 0.837341i | \(0.684109\pi\) | |||||||
\(758\) | 1.30909e10 | + | 2.30828e9i | 0.0396546 | + | 0.00699218i | ||||
\(759\) | −3.14368e11 | − | 1.99076e11i | −0.947265 | − | 0.599864i | ||||
\(760\) | 1.73645e11 | + | 6.32015e10i | 0.520484 | + | 0.189441i | ||||
\(761\) | 4.75589e10 | + | 5.66785e10i | 0.141806 | + | 0.168997i | 0.832273 | − | 0.554367i | \(-0.187039\pi\) |
−0.690467 | + | 0.723364i | \(0.742595\pi\) | |||||||
\(762\) | 1.65263e10 | − | 7.55154e10i | 0.0490181 | − | 0.223983i | ||||
\(763\) | −4.07866e11 | + | 1.48451e11i | −1.20343 | + | 0.438011i | ||||
\(764\) | −3.41519e10 | − | 1.97176e10i | −0.100240 | − | 0.0578737i | ||||
\(765\) | 8.85401e10 | − | 6.27159e10i | 0.258520 | − | 0.183118i | ||||
\(766\) | 4.30381e10 | + | 7.45443e10i | 0.125008 | + | 0.216521i | ||||
\(767\) | −7.02981e10 | + | 8.37780e10i | −0.203124 | + | 0.242074i | ||||
\(768\) | −1.28162e11 | − | 1.66088e11i | −0.368396 | − | 0.477412i | ||||
\(769\) | 6.71441e10 | + | 3.80793e11i | 0.192000 | + | 1.08889i | 0.916626 | + | 0.399746i | \(0.130902\pi\) |
−0.724626 | + | 0.689143i | \(0.757987\pi\) | |||||||
\(770\) | 1.42814e11 | − | 2.51819e10i | 0.406263 | − | 0.0716351i | ||||
\(771\) | −2.41418e11 | + | 1.86290e11i | −0.683205 | + | 0.527196i | ||||
\(772\) | 2.48845e10 | + | 2.08806e10i | 0.0700583 | + | 0.0587859i | ||||
\(773\) | −3.24557e11 | + | 1.87383e11i | −0.909020 | + | 0.524823i | −0.880116 | − | 0.474759i | \(-0.842535\pi\) |
−0.0289045 | + | 0.999582i | \(0.509202\pi\) | |||||||
\(774\) | 3.35979e10 | − | 3.12341e9i | 0.0936156 | − | 0.00870293i | ||||
\(775\) | −8.85018e9 | + | 1.53290e10i | −0.0245327 | + | 0.0424919i | ||||
\(776\) | −7.99752e10 | − | 2.19730e11i | −0.220551 | − | 0.605958i | ||||
\(777\) | 5.06699e11 | + | 1.10889e11i | 1.39016 | + | 0.304233i | ||||
\(778\) | −2.27960e9 | + | 1.91281e9i | −0.00622214 | + | 0.00522100i | ||||
\(779\) | 2.46559e11 | − | 6.77416e11i | 0.669532 | − | 1.83952i | ||||
\(780\) | 3.25770e10 | − | 5.14435e10i | 0.0880102 | − | 0.138980i | ||||
\(781\) | 1.09537e11 | − | 6.21215e11i | 0.294413 | − | 1.66970i | ||||
\(782\) | − | 2.33338e10i | − | 0.0623963i | ||||||
\(783\) | 3.70449e10 | − | 1.20918e11i | 0.0985556 | − | 0.321694i | ||||
\(784\) | 6.37941e11 | 1.68856 | ||||||||
\(785\) | 3.46065e11 | + | 6.10206e10i | 0.911337 | + | 0.160693i | ||||
\(786\) | 1.63995e9 | − | 4.00571e10i | 0.00429675 | − | 0.104952i | ||||
\(787\) | 1.64892e11 | + | 6.00158e10i | 0.429834 | + | 0.156447i | 0.547872 | − | 0.836562i | \(-0.315438\pi\) |
−0.118038 | + | 0.993009i | \(0.537660\pi\) | |||||||
\(788\) | 9.58105e9 | + | 1.14183e10i | 0.0248490 | + | 0.0296139i | ||||
\(789\) | 1.44849e11 | + | 1.32007e11i | 0.373771 | + | 0.340636i | ||||
\(790\) | 8.34054e10 | − | 3.03571e10i | 0.214134 | − | 0.0779384i | ||||
\(791\) | −1.03929e12 | − | 6.00032e11i | −2.65479 | − | 1.53274i | ||||
\(792\) | 4.87785e10 | − | 1.86081e11i | 0.123973 | − | 0.472934i | ||||
\(793\) | −3.78005e10 | − | 6.54723e10i | −0.0955883 | − | 0.165564i | ||||
\(794\) | 6.17783e10 | − | 7.36245e10i | 0.155437 | − | 0.185242i | ||||
\(795\) | −2.41331e11 | + | 5.87128e11i | −0.604149 | + | 1.46982i | ||||
\(796\) | 2.69549e10 | + | 1.52869e11i | 0.0671406 | + | 0.380773i | ||||
\(797\) | 1.75652e10 | − | 3.09722e9i | 0.0435331 | − | 0.00767606i | −0.151839 | − | 0.988405i | \(-0.548520\pi\) |
0.195372 | + | 0.980729i | \(0.437408\pi\) | |||||||
\(798\) | 2.71143e10 | + | 2.01719e11i | 0.0668631 | + | 0.497433i | ||||
\(799\) | 2.50057e10 | + | 2.09822e10i | 0.0613552 | + | 0.0514831i | ||||
\(800\) | −1.42318e10 | + | 8.21673e9i | −0.0347456 | + | 0.0200604i | ||||
\(801\) | −2.46639e10 | + | 1.16645e10i | −0.0599145 | + | 0.0283358i | ||||
\(802\) | 3.51279e10 | − | 6.08433e10i | 0.0849092 | − | 0.147067i | ||||
\(803\) | −8.38696e10 | − | 2.30430e11i | −0.201717 | − | 0.554213i | ||||
\(804\) | −3.68267e10 | − | 1.15703e11i | −0.0881330 | − | 0.276898i | ||||
\(805\) | 4.90840e11 | − | 4.11863e11i | 1.16884 | − | 0.980775i | ||||
\(806\) | 3.76781e9 | − | 1.03520e10i | 0.00892788 | − | 0.0245291i | ||||
\(807\) | 1.06737e11 | + | 2.03686e11i | 0.251663 | + | 0.480251i | ||||
\(808\) | −3.40937e10 | + | 1.93355e11i | −0.0799887 | + | 0.453638i | ||||
\(809\) | − | 1.94607e11i | − | 0.454323i | −0.973857 | − | 0.227161i | \(-0.927056\pi\) | ||
0.973857 | − | 0.227161i | \(-0.0729445\pi\) | |||||||
\(810\) | −5.42217e10 | + | 6.60632e10i | −0.125960 | + | 0.153469i | ||||
\(811\) | −8.64952e10 | −0.199944 | −0.0999720 | − | 0.994990i | \(-0.531875\pi\) | ||||
−0.0999720 | + | 0.994990i | \(0.531875\pi\) | |||||||
\(812\) | −2.36138e11 | − | 4.16375e10i | −0.543177 | − | 0.0957768i | ||||
\(813\) | 3.46236e11 | − | 1.81436e11i | 0.792520 | − | 0.415299i | ||||
\(814\) | −8.56543e10 | − | 3.11756e10i | −0.195097 | − | 0.0710097i | ||||
\(815\) | 4.06896e11 | + | 4.84920e11i | 0.922259 | + | 1.09911i | ||||
\(816\) | −1.21337e11 | + | 3.86199e10i | −0.273673 | + | 0.0871065i | ||||
\(817\) | −2.72636e11 | + | 9.92315e10i | −0.611921 | + | 0.222721i | ||||
\(818\) | 1.47522e11 | + | 8.51721e10i | 0.329492 | + | 0.190232i | ||||
\(819\) | 1.36640e11 | + | 1.12070e10i | 0.303699 | + | 0.0249088i | ||||
\(820\) | −2.86972e11 | − | 4.97050e11i | −0.634722 | − | 1.09937i | ||||
\(821\) | −1.63679e11 | + | 1.95065e11i | −0.360264 | + | 0.429346i | −0.915482 | − | 0.402359i | \(-0.868190\pi\) |
0.555218 | + | 0.831705i | \(0.312635\pi\) | |||||||
\(822\) | −1.74285e11 | + | 2.34268e10i | −0.381745 | + | 0.0513128i | ||||
\(823\) | 4.26800e10 | + | 2.42050e11i | 0.0930304 | + | 0.527602i | 0.995333 | + | 0.0964986i | \(0.0307643\pi\) |
−0.902303 | + | 0.431103i | \(0.858125\pi\) | |||||||
\(824\) | −5.88800e10 | + | 1.03821e10i | −0.127720 | + | 0.0225205i | ||||
\(825\) | 3.58045e10 | + | 1.47169e10i | 0.0772897 | + | 0.0317688i | ||||
\(826\) | −2.22952e11 | − | 1.87079e11i | −0.478951 | − | 0.401888i | ||||
\(827\) | 5.42919e11 | − | 3.13454e11i | 1.16068 | − | 0.670120i | 0.209214 | − | 0.977870i | \(-0.432909\pi\) |
0.951467 | + | 0.307750i | \(0.0995760\pi\) | |||||||
\(828\) | −1.09795e11 | − | 4.01033e11i | −0.233593 | − | 0.853215i | ||||
\(829\) | −3.00938e11 | + | 5.21239e11i | −0.637174 | + | 1.10362i | 0.348876 | + | 0.937169i | \(0.386564\pi\) |
−0.986050 | + | 0.166449i | \(0.946770\pi\) | |||||||
\(830\) | 3.15418e10 | + | 8.66604e10i | 0.0664621 | + | 0.182603i | ||||
\(831\) | −1.08225e11 | + | 1.18753e11i | −0.226947 | + | 0.249023i | ||||
\(832\) | −4.93261e10 | + | 4.13895e10i | −0.102940 | + | 0.0863768i | ||||
\(833\) | 1.04357e11 | − | 2.86719e11i | 0.216742 | − | 0.595493i | ||||
\(834\) | −1.39258e11 | − | 5.70127e9i | −0.287844 | − | 0.0117844i | ||||
\(835\) | 2.57762e10 | − | 1.46184e11i | 0.0530241 | − | 0.300715i | ||||
\(836\) | 8.09143e11i | 1.65653i | ||||||||
\(837\) | 1.58983e11 | − | 3.11576e11i | 0.323929 | − | 0.634837i | ||||
\(838\) | −1.20708e11 | −0.244771 | ||||||||
\(839\) | 2.19890e11 | + | 3.87726e10i | 0.443770 | + | 0.0782486i | 0.391068 | − | 0.920362i | \(-0.372106\pi\) |
0.0527018 | + | 0.998610i | \(0.483217\pi\) | |||||||
\(840\) | 2.79857e11 | + | 1.77222e11i | 0.562107 | + | 0.355959i | ||||
\(841\) | −4.16865e11 | − | 1.51726e11i | −0.833319 | − | 0.303303i | ||||
\(842\) | 1.67496e10 | + | 1.99614e10i | 0.0333239 | + | 0.0397138i | ||||
\(843\) | 2.10574e10 | − | 9.62196e10i | 0.0416960 | − | 0.190526i | ||||
\(844\) | 3.83329e11 | − | 1.39520e11i | 0.755444 | − | 0.274959i | ||||
\(845\) | 4.12557e11 | + | 2.38190e11i | 0.809202 | + | 0.467193i | ||||
\(846\) | −2.33618e10 | − | 1.07397e10i | −0.0456063 | − | 0.0209657i | ||||
\(847\) | 2.08517e11 | + | 3.61162e11i | 0.405143 | + | 0.701728i | ||||
\(848\) | 4.78859e11 | − | 5.70682e11i | 0.926028 | − | 1.10360i | ||||
\(849\) | −4.78433e11 | − | 6.20012e11i | −0.920853 | − | 1.19335i | ||||
\(850\) | 4.21533e8 | + | 2.39063e9i | 0.000807524 | + | 0.00457970i | ||||
\(851\) | −3.96627e11 | + | 6.99360e10i | −0.756247 | + | 0.133347i | ||||
\(852\) | 5.58039e11 | − | 4.30612e11i | 1.05903 | − | 0.817198i | ||||
\(853\) | 1.07390e10 | + | 9.01105e9i | 0.0202846 | + | 0.0170208i | 0.652874 | − | 0.757467i | \(-0.273563\pi\) |
−0.632589 | + | 0.774488i | \(0.718008\pi\) | |||||||
\(854\) | 1.74237e11 | − | 1.00596e11i | 0.327573 | − | 0.189124i | ||||
\(855\) | 3.06945e11 | − | 6.67691e11i | 0.574376 | − | 1.24943i | ||||
\(856\) | 1.53969e11 | − | 2.66682e11i | 0.286773 | − | 0.496706i | ||||
\(857\) | −3.56164e10 | − | 9.78554e10i | −0.0660279 | − | 0.181410i | 0.902291 | − | 0.431128i | \(-0.141884\pi\) |
−0.968319 | + | 0.249718i | \(0.919662\pi\) | |||||||
\(858\) | −2.35359e10 | − | 5.15077e9i | −0.0434292 | − | 0.00950436i | ||||
\(859\) | −2.94212e11 | + | 2.46873e11i | −0.540365 | + | 0.453420i | −0.871663 | − | 0.490106i | \(-0.836958\pi\) |
0.331298 | + | 0.943526i | \(0.392514\pi\) | |||||||
\(860\) | −7.90040e10 | + | 2.17062e11i | −0.144429 | + | 0.396816i | ||||
\(861\) | 6.91372e11 | − | 1.09177e12i | 1.25805 | − | 1.98663i | ||||
\(862\) | −2.93660e10 | + | 1.66543e11i | −0.0531883 | + | 0.301646i | ||||
\(863\) | 2.17241e11i | 0.391650i | 0.980639 | + | 0.195825i | \(0.0627384\pi\) | ||||
−0.980639 | + | 0.195825i | \(0.937262\pi\) | |||||||
\(864\) | 2.72466e11 | − | 1.76717e11i | 0.488942 | − | 0.317120i | ||||
\(865\) | −2.30758e11 | −0.412184 | ||||||||
\(866\) | 6.07954e9 | + | 1.07199e9i | 0.0108093 | + | 0.00190598i | ||||
\(867\) | 2.06221e10 | − | 5.03712e11i | 0.0364969 | − | 0.891468i | ||||
\(868\) | −6.23218e11 | − | 2.26833e11i | −1.09790 | − | 0.399602i | ||||
\(869\) | 5.10681e11 | + | 6.08606e11i | 0.895511 | + | 1.06723i | ||||
\(870\) | −2.82853e10 | − | 2.57777e10i | −0.0493723 | − | 0.0449953i | ||||
\(871\) | −2.92123e10 | + | 1.06324e10i | −0.0507566 | + | 0.0184739i | ||||
\(872\) | 1.50889e11 | + | 8.71156e10i | 0.260970 | + | 0.150671i | ||||
\(873\) | −8.96893e11 | + | 2.45551e11i | −1.54413 | + | 0.422751i | ||||
\(874\) | −7.90180e10 | − | 1.36863e11i | −0.135419 | − | 0.234553i | ||||
\(875\) | −6.65237e11 | + | 7.92799e11i | −1.13487 | + | 1.35248i | ||||
\(876\) | 1.04172e11 | − | 2.53437e11i | 0.176902 | − | 0.430381i | ||||
\(877\) | −2.14413e10 | − | 1.21600e11i | −0.0362454 | − | 0.205558i | 0.961307 | − | 0.275479i | \(-0.0888364\pi\) |
−0.997553 | + | 0.0699210i | \(0.977725\pi\) | |||||||
\(878\) | 4.93596e10 | − | 8.70343e9i | 0.0830603 | − | 0.0146458i | ||||
\(879\) | 5.52273e9 | + | 4.10868e10i | 0.00925121 | + | 0.0688250i | ||||
\(880\) | 4.70712e11 | + | 3.94974e11i | 0.784918 | + | 0.658624i | ||||
\(881\) | 7.64992e11 | − | 4.41668e11i | 1.26985 | − | 0.733150i | 0.294893 | − | 0.955530i | \(-0.404716\pi\) |
0.974960 | + | 0.222381i | \(0.0713828\pi\) | |||||||
\(882\) | −1.96462e10 | + | 2.39535e11i | −0.0324641 | + | 0.395817i | ||||
\(883\) | 8.16461e10 | − | 1.41415e11i | 0.134305 | − | 0.232623i | −0.791027 | − | 0.611782i | \(-0.790453\pi\) |
0.925332 | + | 0.379158i | \(0.123786\pi\) | |||||||
\(884\) | 1.16897e10 | + | 3.21172e10i | 0.0191423 | + | 0.0525930i | ||||
\(885\) | 3.18710e11 | + | 1.00133e12i | 0.519545 | + | 1.63231i | ||||
\(886\) | −1.09881e11 | + | 9.22015e10i | −0.178316 | + | 0.149625i | ||||
\(887\) | −3.73853e11 | + | 1.02715e12i | −0.603957 | + | 1.65936i | 0.139218 | + | 0.990262i | \(0.455541\pi\) |
−0.743175 | + | 0.669097i | \(0.766681\pi\) | |||||||
\(888\) | −9.66422e10 | − | 1.84423e11i | −0.155423 | − | 0.296595i | ||||
\(889\) | −2.06901e11 | + | 1.17340e12i | −0.331251 | + | 1.87862i | ||||
\(890\) | 8.25609e9i | 0.0131587i | ||||||||
\(891\) | −7.21670e11 | − | 2.53823e11i | −1.14506 | − | 0.402735i | ||||
\(892\) | 2.42138e10 | 0.0382475 | ||||||||
\(893\) | 2.17724e11 | + | 3.83906e10i | 0.342374 | + | 0.0603697i | ||||
\(894\) | −1.23563e11 | + | 6.47502e10i | −0.193437 | + | 0.101366i | ||||
\(895\) | −1.15207e11 | − | 4.19320e10i | −0.179551 | − | 0.0653511i | ||||
\(896\) | −5.23436e11 | − | 6.23807e11i | −0.812141 | − | 0.967872i | ||||
\(897\) | −1.01438e11 | + | 3.22866e10i | −0.156687 | + | 0.0498715i | ||||
\(898\) | 1.56341e11 | − | 5.69035e10i | 0.240419 | − | 0.0875052i | ||||
\(899\) | 1.35645e11 | + | 7.83146e10i | 0.207665 | + | 0.119896i | ||||
\(900\) | 1.84936e10 | + | 3.91037e10i | 0.0281872 | + | 0.0596003i | ||||
\(901\) | −1.78156e11 | − | 3.08575e11i | −0.270334 | − | 0.468233i | ||||
\(902\) | −1.45974e11 | + | 1.73965e11i | −0.220520 | + | 0.262806i | ||||
\(903\) | −5.15456e11 | + | 6.92858e10i | −0.775248 | + | 0.104206i | ||||
\(904\) | 8.36507e10 | + | 4.74407e11i | 0.125255 | + | 0.710357i | ||||
\(905\) | 3.62786e11 | − | 6.39690e10i | 0.540824 | − | 0.0953619i | ||||
\(906\) | 1.66080e11 | + | 6.82646e10i | 0.246493 | + | 0.101317i | ||||
\(907\) | −2.36599e11 | − | 1.98531e11i | −0.349611 | − | 0.293358i | 0.451023 | − | 0.892512i | \(-0.351059\pi\) |
−0.800634 | + | 0.599154i | \(0.795504\pi\) | |||||||
\(908\) | 6.92161e11 | − | 3.99619e11i | 1.01827 | − | 0.587899i | ||||
\(909\) | 7.55274e11 | + | 1.97985e11i | 1.10624 | + | 0.289985i | ||||
\(910\) | 2.07437e10 | − | 3.59291e10i | 0.0302496 | − | 0.0523939i | ||||
\(911\) | −2.99551e11 | − | 8.23009e11i | −0.434907 | − | 1.19490i | −0.942765 | − | 0.333457i | \(-0.891785\pi\) |
0.507858 | − | 0.861441i | \(-0.330437\pi\) | |||||||
\(912\) | −5.80910e11 | + | 6.37419e11i | −0.839711 | + | 0.921395i | ||||
\(913\) | −6.32357e11 | + | 5.30611e11i | −0.910080 | + | 0.763648i | ||||
\(914\) | −4.30509e10 | + | 1.18282e11i | −0.0616876 | + | 0.169485i | ||||
\(915\) | −7.25803e11 | − | 2.97146e10i | −1.03546 | − | 0.0423921i | ||||
\(916\) | −5.77550e10 | + | 3.27545e11i | −0.0820366 | + | 0.465253i | ||||
\(917\) | 6.17935e11i | 0.873907i | ||||||||
\(918\) | −1.07643e10 | − | 4.67490e10i | −0.0151571 | − | 0.0658266i | ||||
\(919\) | −5.59623e11 | −0.784574 | −0.392287 | − | 0.919843i | \(-0.628316\pi\) | ||||
−0.392287 | + | 0.919843i | \(0.628316\pi\) | |||||||
\(920\) | −2.53298e11 | − | 4.46632e10i | −0.353574 | − | 0.0623446i | ||||
\(921\) | −5.10293e10 | − | 3.23147e10i | −0.0709220 | − | 0.0449120i | ||||
\(922\) | 1.81258e11 | + | 6.59723e10i | 0.250826 | + | 0.0912932i | ||||
\(923\) | −1.15999e11 | − | 1.38242e11i | −0.159826 | − | 0.190474i | ||||
\(924\) | −3.10091e11 | + | 1.41693e12i | −0.425404 | + | 1.94384i | ||||
\(925\) | 3.93724e10 | − | 1.43304e10i | 0.0537805 | − | 0.0195745i | ||||
\(926\) | −1.91192e11 | − | 1.10385e11i | −0.260032 | − | 0.150130i | ||||
\(927\) | 2.20088e10 | + | 2.36744e11i | 0.0298042 | + | 0.320598i | ||||
\(928\) | 7.27092e10 | + | 1.25936e11i | 0.0980386 | + | 0.169808i | ||||
\(929\) | −4.11643e11 | + | 4.90577e11i | −0.552660 | + | 0.658634i | −0.967976 | − | 0.251043i | \(-0.919226\pi\) |
0.415316 | + | 0.909677i | \(0.363671\pi\) | |||||||
\(930\) | −6.46654e10 | − | 8.38013e10i | −0.0864450 | − | 0.112026i | ||||
\(931\) | −3.58849e11 | − | 2.03513e12i | −0.477653 | − | 2.70891i | ||||
\(932\) | −1.75011e11 | + | 3.08591e10i | −0.231953 | + | 0.0408996i | ||||
\(933\) | 9.31626e11 | − | 7.18890e11i | 1.22946 | − | 0.948716i | ||||
\(934\) | 2.18607e10 | + | 1.83433e10i | 0.0287260 | + | 0.0241040i | ||||
\(935\) | 2.54520e11 | − | 1.46947e11i | 0.333024 | − | 0.192272i | ||||
\(936\) | −3.18105e10 | − | 4.49089e10i | −0.0414445 | − | 0.0585099i | ||||
\(937\) | 1.69447e11 | − | 2.93491e11i | 0.219824 | − | 0.380747i | −0.734930 | − | 0.678143i | \(-0.762785\pi\) |
0.954754 | + | 0.297396i | \(0.0961182\pi\) | |||||||
\(938\) | −2.82952e10 | − | 7.77404e10i | −0.0365512 | − | 0.100424i | ||||
\(939\) | 4.99654e11 | + | 1.09348e11i | 0.642698 | + | 0.140653i | ||||
\(940\) | 1.34837e11 | − | 1.13141e11i | 0.172702 | − | 0.144914i | ||||
\(941\) | −2.45934e11 | + | 6.75699e11i | −0.313661 | + | 0.861777i | 0.678249 | + | 0.734833i | \(0.262739\pi\) |
−0.991910 | + | 0.126945i | \(0.959483\pi\) | |||||||
\(942\) | 8.31225e10 | − | 1.31262e11i | 0.105564 | − | 0.166699i | ||||
\(943\) | −1.74239e11 | + | 9.88156e11i | −0.220342 | + | 1.24962i | ||||
\(944\) | − | 1.23322e12i | − | 1.55293i | ||||||
\(945\) | 7.93390e11 | − | 1.05160e12i | 0.994854 | − | 1.31863i | ||||
\(946\) | 9.13977e10 | 0.114122 | ||||||||
\(947\) | −4.79075e11 | − | 8.44739e10i | −0.595667 | − | 0.105032i | −0.132317 | − | 0.991207i | \(-0.542242\pi\) |
−0.463350 | + | 0.886175i | \(0.653353\pi\) | |||||||
\(948\) | −3.63149e10 | + | 8.87021e11i | −0.0449626 | + | 1.09825i | ||||
\(949\) | −6.59227e10 | − | 2.39939e10i | −0.0812775 | − | 0.0295826i | ||||
\(950\) | 1.05681e10 | + | 1.25946e10i | 0.0129749 | + | 0.0154629i | ||||
\(951\) | 6.85591e11 | + | 6.24812e11i | 0.838191 | + | 0.763883i | ||||
\(952\) | −1.74720e11 | + | 6.35930e10i | −0.212714 | + | 0.0774215i | ||||
\(953\) | −7.27038e11 | − | 4.19755e11i | −0.881425 | − | 0.508891i | −0.0102969 | − | 0.999947i | \(-0.503278\pi\) |
−0.871128 | + | 0.491056i | \(0.836611\pi\) | |||||||
\(954\) | 1.99533e11 | + | 1.97377e11i | 0.240892 | + | 0.238289i | ||||
\(955\) | 4.85055e10 | + | 8.40140e10i | 0.0583147 | + | 0.101004i | ||||
\(956\) | −3.43541e11 | + | 4.09416e11i | −0.411289 | + | 0.490155i | ||||
\(957\) | 1.30229e11 | − | 3.16831e11i | 0.155260 | − | 0.377729i | ||||
\(958\) | −1.72272e10 | − | 9.77001e10i | −0.0204527 | − | 0.115993i | ||||
\(959\) | 2.66931e12 | − | 4.70672e11i | 3.15591 | − | 0.556473i | ||||
\(960\) | 8.24218e10 | + | 6.13182e11i | 0.0970414 | + | 0.721946i | ||||
\(961\) | −3.21484e11 | − | 2.69757e11i | −0.376934 | − | 0.316285i | ||||
\(962\) | −2.25835e10 | + | 1.30386e10i | −0.0263688 | + | 0.0152240i | ||||
\(963\) | −1.00694e12 | − | 6.96944e11i | −1.17084 | − | 0.810388i | ||||
\(964\) | 1.99879e11 | − | 3.46200e11i | 0.231451 | − | 0.400884i | ||||
\(965\) | −2.73315e10 | − | 7.50926e10i | −0.0315177 | − | 0.0865940i | ||||
\(966\) | −8.59218e10 | − | 2.69951e11i | −0.0986723 | − | 0.310010i | ||||
\(967\) | 3.58024e11 | − | 3.00417e11i | 0.409455 | − | 0.343573i | −0.414680 | − | 0.909967i | \(-0.636106\pi\) |
0.824135 | + | 0.566394i | \(0.191662\pi\) | |||||||
\(968\) | 5.72556e10 | − | 1.57309e11i | 0.0652104 | − | 0.179164i | ||||
\(969\) | 1.91457e11 | + | 3.65359e11i | 0.217158 | + | 0.414405i | ||||
\(970\) | −4.88637e10 | + | 2.77120e11i | −0.0551950 | + | 0.313026i | ||||
\(971\) | 9.07616e11i | 1.02100i | 0.859878 | + | 0.510500i | \(0.170539\pi\) | ||||
−0.859878 | + | 0.510500i | \(0.829461\pi\) | |||||||
\(972\) | −4.04976e11 | − | 7.52814e11i | −0.453695 | − | 0.843378i | ||||
\(973\) | 2.14825e12 | 2.39681 | ||||||||
\(974\) | −7.81535e10 | − | 1.37806e10i | −0.0868386 | − | 0.0153120i | ||||
\(975\) | 9.80946e9 | − | 5.14039e9i | 0.0108549 | − | 0.00568823i | ||||
\(976\) | 8.01083e11 | + | 2.91570e11i | 0.882832 | + | 0.321325i | ||||
\(977\) | 1.09047e11 | + | 1.29957e11i | 0.119684 | + | 0.142634i | 0.822559 | − | 0.568679i | \(-0.192545\pi\) |
−0.702876 | + | 0.711313i | \(0.748101\pi\) | |||||||
\(978\) | 2.66695e11 | − | 8.48856e10i | 0.291514 | − | 0.0927852i | ||||
\(979\) | −6.94439e10 | + | 2.52755e10i | −0.0755968 | + | 0.0275150i | ||||
\(980\) | −1.42486e12 | − | 8.22642e11i | −1.54478 | − | 0.891880i | ||||
\(981\) | 3.94331e11 | − | 5.69724e11i | 0.425779 | − | 0.615161i | ||||
\(982\) | −8.47257e10 | − | 1.46749e11i | −0.0911106 | − | 0.157808i | ||||
\(983\) | −2.30885e11 | + | 2.75158e11i | −0.247276 | + | 0.294692i | −0.875378 | − | 0.483439i | \(-0.839387\pi\) |
0.628102 | + | 0.778131i | \(0.283832\pi\) | |||||||
\(984\) | −5.14112e11 | + | 6.91051e10i | −0.548375 | + | 0.0737106i | ||||
\(985\) | −6.36726e9 | − | 3.61105e10i | −0.00676407 | − | 0.0383609i | ||||
\(986\) | 2.11545e10 | − | 3.73011e9i | 0.0223818 | − | 0.00394652i | ||||
\(987\) | 3.66555e11 | + | 1.50667e11i | 0.386252 | + | 0.158763i | ||||
\(988\) | 1.77327e11 | + | 1.48795e11i | 0.186101 | + | 0.156157i | ||||
\(989\) | 3.49730e11 | − | 2.01917e11i | 0.365551 | − | 0.211051i | ||||
\(990\) | −1.62801e11 | + | 1.64580e11i | −0.169480 | + | 0.171331i | ||||
\(991\) | 1.75783e11 | − | 3.04465e11i | 0.182256 | − | 0.315677i | −0.760392 | − | 0.649464i | \(-0.774993\pi\) |
0.942648 | + | 0.333787i | \(0.108327\pi\) | |||||||
\(992\) | 1.37566e11 | + | 3.77959e11i | 0.142058 | + | 0.390300i | ||||
\(993\) | −8.21785e11 | + | 9.01725e11i | −0.845203 | + | 0.927422i | ||||
\(994\) | 3.67894e11 | − | 3.08700e11i | 0.376858 | − | 0.316221i | ||||
\(995\) | 1.30604e11 | − | 3.58831e11i | 0.133249 | − | 0.366098i | ||||
\(996\) | −9.21637e11 | − | 3.77321e10i | −0.936532 | − | 0.0383419i | ||||
\(997\) | 2.09430e11 | − | 1.18774e12i | 0.211962 | − | 1.20210i | −0.674139 | − | 0.738604i | \(-0.735485\pi\) |
0.886101 | − | 0.463492i | \(-0.153404\pi\) | |||||||
\(998\) | 9.91425e10i | 0.0999397i | ||||||||
\(999\) | −7.62373e11 | + | 3.23087e11i | −0.765430 | + | 0.324383i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 27.9.f.a.2.11 | ✓ | 138 | |
3.2 | odd | 2 | 81.9.f.a.8.13 | 138 | |||
27.13 | even | 9 | 81.9.f.a.71.13 | 138 | |||
27.14 | odd | 18 | inner | 27.9.f.a.14.11 | yes | 138 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.9.f.a.2.11 | ✓ | 138 | 1.1 | even | 1 | trivial | |
27.9.f.a.14.11 | yes | 138 | 27.14 | odd | 18 | inner | |
81.9.f.a.8.13 | 138 | 3.2 | odd | 2 | |||
81.9.f.a.71.13 | 138 | 27.13 | even | 9 |