Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,9,Mod(27,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(6))
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("38.27");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(15.4803871823\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 27.9 | ||
Character | \(\chi\) | \(=\) | 38.27 |
Dual form | 38.9.d.a.31.9 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 9.79796 | + | 5.65685i | 0.612372 | + | 0.353553i | ||||
\(3\) | −3.23455 | − | 1.86747i | −0.0399328 | − | 0.0230552i | 0.479901 | − | 0.877323i | \(-0.340673\pi\) |
−0.519833 | + | 0.854268i | \(0.674006\pi\) | |||||||
\(4\) | 64.0000 | + | 110.851i | 0.250000 | + | 0.433013i | ||||
\(5\) | −499.152 | + | 864.556i | −0.798643 | + | 1.38329i | 0.121858 | + | 0.992548i | \(0.461115\pi\) |
−0.920500 | + | 0.390742i | \(0.872218\pi\) | |||||||
\(6\) | −21.1280 | − | 36.5948i | −0.0163025 | − | 0.0282367i | ||||
\(7\) | 3106.83 | 1.29397 | 0.646986 | − | 0.762502i | \(-0.276029\pi\) | ||||
0.646986 | + | 0.762502i | \(0.276029\pi\) | |||||||
\(8\) | 1448.15i | 0.353553i | ||||||||
\(9\) | −3273.53 | − | 5669.91i | −0.498937 | − | 0.864184i | ||||
\(10\) | −9781.33 | + | 5647.26i | −0.978133 | + | 0.564726i | ||||
\(11\) | −23737.7 | −1.62132 | −0.810658 | − | 0.585519i | \(-0.800891\pi\) | ||||
−0.810658 | + | 0.585519i | \(0.800891\pi\) | |||||||
\(12\) | − | 478.072i | − | 0.0230552i | ||||||
\(13\) | −4571.63 | + | 2639.43i | −0.160066 | + | 0.0924139i | −0.577893 | − | 0.816112i | \(-0.696125\pi\) |
0.417828 | + | 0.908526i | \(0.362792\pi\) | |||||||
\(14\) | 30440.6 | + | 17574.9i | 0.792393 | + | 0.457488i | ||||
\(15\) | 3229.07 | − | 1864.30i | 0.0637840 | − | 0.0368257i | ||||
\(16\) | −8192.00 | + | 14189.0i | −0.125000 | + | 0.216506i | ||||
\(17\) | −46041.1 | + | 79745.5i | −0.551252 | + | 0.954796i | 0.446933 | + | 0.894568i | \(0.352516\pi\) |
−0.998185 | + | 0.0602286i | \(0.980817\pi\) | |||||||
\(18\) | − | 74071.4i | − | 0.705603i | ||||||
\(19\) | −98621.2 | + | 85190.5i | −0.756756 | + | 0.653697i | ||||
\(20\) | −127783. | −0.798643 | ||||||||
\(21\) | −10049.2 | − | 5801.91i | −0.0516719 | − | 0.0298328i | ||||
\(22\) | −232581. | − | 134281.i | −0.992850 | − | 0.573222i | ||||
\(23\) | 96772.6 | + | 167615.i | 0.345813 | + | 0.598966i | 0.985501 | − | 0.169669i | \(-0.0542698\pi\) |
−0.639688 | + | 0.768635i | \(0.720937\pi\) | |||||||
\(24\) | 2704.39 | − | 4684.13i | 0.00815124 | − | 0.0141184i | ||||
\(25\) | −302992. | − | 524798.i | −0.775660 | − | 1.34348i | ||||
\(26\) | −59723.5 | −0.130693 | ||||||||
\(27\) | 48957.8i | 0.0921227i | ||||||||
\(28\) | 198837. | + | 344396.i | 0.323493 | + | 0.560307i | ||||
\(29\) | 109357. | − | 63137.4i | 0.154616 | − | 0.0892677i | −0.420696 | − | 0.907202i | \(-0.638214\pi\) |
0.575312 | + | 0.817934i | \(0.304881\pi\) | |||||||
\(30\) | 42184.3 | 0.0520794 | ||||||||
\(31\) | 120903.i | 0.130916i | 0.997855 | + | 0.0654579i | \(0.0208508\pi\) | ||||
−0.997855 | + | 0.0654579i | \(0.979149\pi\) | |||||||
\(32\) | −160530. | + | 92681.9i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 76780.9 | + | 44329.5i | 0.0647437 | + | 0.0373798i | ||||
\(34\) | −902218. | + | 520896.i | −0.675143 | + | 0.389794i | ||||
\(35\) | −1.55078e6 | + | 2.68603e6i | −1.03342 | + | 1.78994i | ||||
\(36\) | 419011. | − | 725749.i | 0.249468 | − | 0.432092i | ||||
\(37\) | − | 3.31272e6i | − | 1.76758i | −0.467887 | − | 0.883788i | \(-0.654985\pi\) | ||
0.467887 | − | 0.883788i | \(-0.345015\pi\) | |||||||
\(38\) | −1.44820e6 | + | 276807.i | −0.694533 | + | 0.132753i | ||||
\(39\) | 19716.3 | 0.00852248 | ||||||||
\(40\) | −1.25201e6 | − | 722849.i | −0.489067 | − | 0.282363i | ||||
\(41\) | 3.62096e6 | + | 2.09056e6i | 1.28141 | + | 0.739823i | 0.977106 | − | 0.212752i | \(-0.0682426\pi\) |
0.304305 | + | 0.952575i | \(0.401576\pi\) | |||||||
\(42\) | −65641.1 | − | 113694.i | −0.0210950 | − | 0.0365376i | ||||
\(43\) | −180198. | + | 312112.i | −0.0527080 | + | 0.0912929i | −0.891176 | − | 0.453659i | \(-0.850119\pi\) |
0.838468 | + | 0.544951i | \(0.183452\pi\) | |||||||
\(44\) | −1.51921e6 | − | 2.63135e6i | −0.405329 | − | 0.702051i | ||||
\(45\) | 6.53594e6 | 1.59389 | ||||||||
\(46\) | 2.18971e6i | 0.489053i | ||||||||
\(47\) | 3.03383e6 | + | 5.25475e6i | 0.621727 | + | 1.07686i | 0.989164 | + | 0.146814i | \(0.0469020\pi\) |
−0.367437 | + | 0.930048i | \(0.619765\pi\) | |||||||
\(48\) | 52994.9 | − | 30596.6i | 0.00998319 | − | 0.00576380i | ||||
\(49\) | 3.88758e6 | 0.674366 | ||||||||
\(50\) | − | 6.85593e6i | − | 1.09695i | ||||||
\(51\) | 297845. | − | 171961.i | 0.0440260 | − | 0.0254184i | ||||
\(52\) | −585169. | − | 337847.i | −0.0800328 | − | 0.0462069i | ||||
\(53\) | −495942. | + | 286332.i | −0.0628532 | + | 0.0362883i | −0.531097 | − | 0.847311i | \(-0.678220\pi\) |
0.468244 | + | 0.883599i | \(0.344887\pi\) | |||||||
\(54\) | −276947. | + | 479686.i | −0.0325703 | + | 0.0564134i | ||||
\(55\) | 1.18487e7 | − | 2.05226e7i | 1.29485 | − | 2.24275i | ||||
\(56\) | 4.49917e6i | 0.457488i | ||||||||
\(57\) | 478086. | − | 91381.1i | 0.0452905 | − | 0.00865679i | ||||
\(58\) | 1.42864e6 | 0.126244 | ||||||||
\(59\) | 886332. | + | 511724.i | 0.0731456 | + | 0.0422307i | 0.536127 | − | 0.844137i | \(-0.319887\pi\) |
−0.462981 | + | 0.886368i | \(0.653220\pi\) | |||||||
\(60\) | 413320. | + | 238631.i | 0.0318920 | + | 0.0184129i | ||||
\(61\) | 1.16369e7 | + | 2.01558e7i | 0.840465 | + | 1.45573i | 0.889502 | + | 0.456931i | \(0.151051\pi\) |
−0.0490378 | + | 0.998797i | \(0.515615\pi\) | |||||||
\(62\) | −683933. | + | 1.18461e6i | −0.0462857 | + | 0.0801692i | ||||
\(63\) | −1.01703e7 | − | 1.76154e7i | −0.645611 | − | 1.11823i | ||||
\(64\) | −2.09715e6 | −0.125000 | ||||||||
\(65\) | − | 5.26991e6i | − | 0.295223i | ||||||
\(66\) | 501531. | + | 868676.i | 0.0264315 | + | 0.0457807i | ||||
\(67\) | −1.53779e7 | + | 8.87846e6i | −0.763131 | + | 0.440594i | −0.830419 | − | 0.557140i | \(-0.811899\pi\) |
0.0672879 | + | 0.997734i | \(0.478565\pi\) | |||||||
\(68\) | −1.17865e7 | −0.551252 | ||||||||
\(69\) | − | 722880.i | − | 0.0318911i | ||||||
\(70\) | −3.03889e7 | + | 1.75451e7i | −1.26568 | + | 0.730740i | ||||
\(71\) | 3.44451e7 | + | 1.98869e7i | 1.35548 | + | 0.782588i | 0.989011 | − | 0.147841i | \(-0.0472323\pi\) |
0.366472 | + | 0.930429i | \(0.380566\pi\) | |||||||
\(72\) | 8.21091e6 | − | 4.74057e6i | 0.305535 | − | 0.176401i | ||||
\(73\) | −9.67020e6 | + | 1.67493e7i | −0.340521 | + | 0.589800i | −0.984530 | − | 0.175218i | \(-0.943937\pi\) |
0.644008 | + | 0.765018i | \(0.277270\pi\) | |||||||
\(74\) | 1.87396e7 | − | 3.24579e7i | 0.624933 | − | 1.08241i | ||||
\(75\) | 2.26332e6i | 0.0715320i | ||||||||
\(76\) | −1.57552e7 | − | 5.48009e6i | −0.472248 | − | 0.164261i | ||||
\(77\) | −7.37490e7 | −2.09794 | ||||||||
\(78\) | 193179. | + | 111532.i | 0.00521893 | + | 0.00301315i | ||||
\(79\) | 1.94807e7 | + | 1.12472e7i | 0.500145 | + | 0.288759i | 0.728773 | − | 0.684755i | \(-0.240091\pi\) |
−0.228628 | + | 0.973514i | \(0.573424\pi\) | |||||||
\(80\) | −8.17810e6 | − | 1.41649e7i | −0.199661 | − | 0.345822i | ||||
\(81\) | −2.13862e7 | + | 3.70419e7i | −0.496813 | + | 0.860505i | ||||
\(82\) | 2.36520e7 | + | 4.09665e7i | 0.523134 | + | 0.906094i | ||||
\(83\) | −6.28172e7 | −1.32363 | −0.661814 | − | 0.749668i | \(-0.730213\pi\) | ||||
−0.661814 | + | 0.749668i | \(0.730213\pi\) | |||||||
\(84\) | − | 1.48529e6i | − | 0.0298328i | ||||||
\(85\) | −4.59630e7 | − | 7.96102e7i | −0.880506 | − | 1.52508i | ||||
\(86\) | −3.53115e6 | + | 2.03871e6i | −0.0645538 | + | 0.0372702i | ||||
\(87\) | −471629. | −0.00823234 | ||||||||
\(88\) | − | 3.43759e7i | − | 0.573222i | ||||||
\(89\) | 3.79770e6 | − | 2.19260e6i | 0.0605286 | − | 0.0349462i | −0.469430 | − | 0.882970i | \(-0.655541\pi\) |
0.529959 | + | 0.848023i | \(0.322207\pi\) | |||||||
\(90\) | 6.40389e7 | + | 3.69729e7i | 0.976054 | + | 0.563525i | ||||
\(91\) | −1.42033e7 | + | 8.20027e6i | −0.207120 | + | 0.119581i | ||||
\(92\) | −1.23869e7 | + | 2.14547e7i | −0.172906 | + | 0.299483i | ||||
\(93\) | 225784. | − | 391069.i | 0.00301829 | − | 0.00522783i | ||||
\(94\) | 6.86477e7i | 0.879255i | ||||||||
\(95\) | −2.44250e7 | − | 1.27787e8i | −0.299875 | − | 1.56888i | ||||
\(96\) | 692323. | 0.00815124 | ||||||||
\(97\) | 1.48771e8 | + | 8.58929e7i | 1.68047 | + | 0.970221i | 0.961347 | + | 0.275339i | \(0.0887902\pi\) |
0.719124 | + | 0.694881i | \(0.244543\pi\) | |||||||
\(98\) | 3.80904e7 | + | 2.19915e7i | 0.412963 | + | 0.238424i | ||||
\(99\) | 7.77060e7 | + | 1.34591e8i | 0.808935 | + | 1.40112i | ||||
\(100\) | 3.87830e7 | − | 6.71741e7i | 0.387830 | − | 0.671741i | ||||
\(101\) | −2.57594e7 | − | 4.46166e7i | −0.247543 | − | 0.428757i | 0.715301 | − | 0.698817i | \(-0.246290\pi\) |
−0.962843 | + | 0.270060i | \(0.912956\pi\) | |||||||
\(102\) | 3.89103e6 | 0.0359471 | ||||||||
\(103\) | − | 1.90930e8i | − | 1.69639i | −0.529684 | − | 0.848195i | \(-0.677689\pi\) | ||
0.529684 | − | 0.848195i | \(-0.322311\pi\) | |||||||
\(104\) | −3.82231e6 | − | 6.62043e6i | −0.0326732 | − | 0.0565917i | ||||
\(105\) | 1.00322e7 | − | 5.79207e6i | 0.0825348 | − | 0.0476515i | ||||
\(106\) | −6.47896e6 | −0.0513195 | ||||||||
\(107\) | − | 9.98211e7i | − | 0.761531i | −0.924672 | − | 0.380765i | \(-0.875661\pi\) | ||
0.924672 | − | 0.380765i | \(-0.124339\pi\) | |||||||
\(108\) | −5.42703e6 | + | 3.13330e6i | −0.0398903 | + | 0.0230307i | ||||
\(109\) | −1.01141e8 | − | 5.83938e7i | −0.716509 | − | 0.413677i | 0.0969575 | − | 0.995289i | \(-0.469089\pi\) |
−0.813466 | + | 0.581612i | \(0.802422\pi\) | |||||||
\(110\) | 2.32186e8 | − | 1.34053e8i | 1.58586 | − | 0.915599i | ||||
\(111\) | −6.18641e6 | + | 1.07152e7i | −0.0407518 | + | 0.0705842i | ||||
\(112\) | −2.54511e7 | + | 4.40827e7i | −0.161747 | + | 0.280153i | ||||
\(113\) | 1.90221e8i | 1.16666i | 0.812234 | + | 0.583331i | \(0.198251\pi\) | ||||
−0.812234 | + | 0.583331i | \(0.801749\pi\) | |||||||
\(114\) | 5.20120e6 | + | 1.80912e6i | 0.0307953 | + | 0.0107114i | ||||
\(115\) | −1.93217e8 | −1.10472 | ||||||||
\(116\) | 1.39977e7 | + | 8.08158e6i | 0.0773081 | + | 0.0446339i | ||||
\(117\) | 2.99307e7 | + | 1.72805e7i | 0.159725 | + | 0.0922174i | ||||
\(118\) | 5.78950e6 | + | 1.00277e7i | 0.0298616 | + | 0.0517218i | ||||
\(119\) | −1.43042e8 | + | 2.47756e8i | −0.713305 | + | 1.23548i | ||||
\(120\) | 2.69980e6 | + | 4.67619e6i | 0.0130199 | + | 0.0225511i | ||||
\(121\) | 3.49119e8 | 1.62867 | ||||||||
\(122\) | 2.63314e8i | 1.18860i | ||||||||
\(123\) | −7.80813e6 | − | 1.35241e7i | −0.0341135 | − | 0.0590863i | ||||
\(124\) | −1.34023e7 | + | 7.73782e6i | −0.0566882 | + | 0.0327289i | ||||
\(125\) | 2.14994e8 | 0.880615 | ||||||||
\(126\) | − | 2.30127e8i | − | 0.913032i | ||||||
\(127\) | 3.39535e8 | − | 1.96031e8i | 1.30518 | − | 0.753546i | 0.323892 | − | 0.946094i | \(-0.395009\pi\) |
0.981287 | + | 0.192548i | \(0.0616752\pi\) | |||||||
\(128\) | −2.05478e7 | − | 1.18633e7i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | 1.16572e6 | − | 673029.i | 0.00420955 | − | 0.00243039i | ||||
\(130\) | 2.98111e7 | − | 5.16343e7i | 0.104377 | − | 0.180786i | ||||
\(131\) | −7.26572e7 | + | 1.25846e8i | −0.246714 | + | 0.427321i | −0.962612 | − | 0.270884i | \(-0.912684\pi\) |
0.715898 | + | 0.698205i | \(0.246017\pi\) | |||||||
\(132\) | 1.13483e7i | 0.0373798i | ||||||||
\(133\) | −3.06399e8 | + | 2.64672e8i | −0.979222 | + | 0.845867i | ||||
\(134\) | −2.00897e8 | −0.623094 | ||||||||
\(135\) | −4.23268e7 | − | 2.44374e7i | −0.127432 | − | 0.0735731i | ||||
\(136\) | −1.15484e8 | − | 6.66746e7i | −0.337571 | − | 0.194897i | ||||
\(137\) | −2.15690e8 | − | 3.73586e8i | −0.612277 | − | 1.06049i | −0.990856 | − | 0.134925i | \(-0.956921\pi\) |
0.378579 | − | 0.925569i | \(-0.376413\pi\) | |||||||
\(138\) | 4.08923e6 | − | 7.08275e6i | 0.0112752 | − | 0.0195293i | ||||
\(139\) | −2.61174e8 | − | 4.52367e8i | −0.699635 | − | 1.21180i | −0.968593 | − | 0.248651i | \(-0.920013\pi\) |
0.268958 | − | 0.963152i | \(-0.413321\pi\) | |||||||
\(140\) | −3.96999e8 | −1.03342 | ||||||||
\(141\) | − | 2.26624e7i | − | 0.0573361i | ||||||
\(142\) | 2.24994e8 | + | 3.89702e8i | 0.553374 | + | 0.958471i | ||||
\(143\) | 1.08520e8 | − | 6.26541e7i | 0.259517 | − | 0.149832i | ||||
\(144\) | 1.07267e8 | 0.249468 | ||||||||
\(145\) | 1.26061e8i | 0.285172i | ||||||||
\(146\) | −1.89497e8 | + | 1.09406e8i | −0.417052 | + | 0.240785i | ||||
\(147\) | −1.25746e7 | − | 7.25995e6i | −0.0269293 | − | 0.0155476i | ||||
\(148\) | 3.67219e8 | − | 2.12014e8i | 0.765383 | − | 0.441894i | ||||
\(149\) | −1.37504e8 | + | 2.38163e8i | −0.278978 | + | 0.483203i | −0.971131 | − | 0.238547i | \(-0.923329\pi\) |
0.692153 | + | 0.721750i | \(0.256662\pi\) | |||||||
\(150\) | −1.28032e7 | + | 2.21759e7i | −0.0252904 | + | 0.0438042i | ||||
\(151\) | 1.88816e8i | 0.363188i | 0.983374 | + | 0.181594i | \(0.0581256\pi\) | ||||
−0.983374 | + | 0.181594i | \(0.941874\pi\) | |||||||
\(152\) | −1.23369e8 | − | 1.42819e8i | −0.231117 | − | 0.267554i | ||||
\(153\) | 6.02867e8 | 1.10016 | ||||||||
\(154\) | −7.22589e8 | − | 4.17187e8i | −1.28472 | − | 0.741734i | ||||
\(155\) | −1.04528e8 | − | 6.03492e7i | −0.181094 | − | 0.104555i | ||||
\(156\) | 1.26184e6 | + | 2.18557e6i | 0.00213062 | + | 0.00369034i | ||||
\(157\) | −1.59212e8 | + | 2.75763e8i | −0.262045 | + | 0.453875i | −0.966785 | − | 0.255590i | \(-0.917730\pi\) |
0.704740 | + | 0.709466i | \(0.251064\pi\) | |||||||
\(158\) | 1.27247e8 | + | 2.20399e8i | 0.204183 | + | 0.353656i | ||||
\(159\) | 2.13887e6 | 0.00334654 | ||||||||
\(160\) | − | 1.85049e8i | − | 0.282363i | ||||||
\(161\) | 3.00656e8 | + | 5.20751e8i | 0.447473 | + | 0.775045i | ||||
\(162\) | −4.19082e8 | + | 2.41957e8i | −0.608469 | + | 0.351300i | ||||
\(163\) | 4.50980e8 | 0.638862 | 0.319431 | − | 0.947609i | \(-0.396508\pi\) | ||||
0.319431 | + | 0.947609i | \(0.396508\pi\) | |||||||
\(164\) | 5.35184e8i | 0.739823i | ||||||||
\(165\) | −7.66506e7 | + | 4.42542e7i | −0.103414 | + | 0.0597061i | ||||
\(166\) | −6.15480e8 | − | 3.55348e8i | −0.810553 | − | 0.467973i | ||||
\(167\) | −6.42421e8 | + | 3.70902e8i | −0.825950 | + | 0.476862i | −0.852464 | − | 0.522786i | \(-0.824893\pi\) |
0.0265142 | + | 0.999648i | \(0.491559\pi\) | |||||||
\(168\) | 8.40206e6 | − | 1.45528e7i | 0.0105475 | − | 0.0182688i | ||||
\(169\) | −3.93932e8 | + | 6.82310e8i | −0.482919 | + | 0.836441i | ||||
\(170\) | − | 1.04002e9i | − | 1.24522i | ||||||
\(171\) | 8.05862e8 | + | 2.80300e8i | 0.942488 | + | 0.327823i | ||||
\(172\) | −4.61307e7 | −0.0527080 | ||||||||
\(173\) | 1.23479e8 | + | 7.12906e7i | 0.137851 | + | 0.0795881i | 0.567339 | − | 0.823484i | \(-0.307973\pi\) |
−0.429489 | + | 0.903072i | \(0.641306\pi\) | |||||||
\(174\) | −4.62100e6 | − | 2.66794e6i | −0.00504126 | − | 0.00291057i | ||||
\(175\) | −9.41345e8 | − | 1.63046e9i | −1.00368 | − | 1.73843i | ||||
\(176\) | 1.94459e8 | − | 3.36813e8i | 0.202665 | − | 0.351025i | ||||
\(177\) | −1.91126e6 | − | 3.31040e6i | −0.00194727 | − | 0.00337277i | ||||
\(178\) | 4.96130e7 | 0.0494214 | ||||||||
\(179\) | − | 7.70658e8i | − | 0.750671i | −0.926889 | − | 0.375335i | \(-0.877528\pi\) | ||
0.926889 | − | 0.375335i | \(-0.122472\pi\) | |||||||
\(180\) | 4.18300e8 | + | 7.24517e8i | 0.398472 | + | 0.690174i | ||||
\(181\) | −7.55822e8 | + | 4.36374e8i | −0.704215 | + | 0.406578i | −0.808915 | − | 0.587925i | \(-0.799945\pi\) |
0.104701 | + | 0.994504i | \(0.466612\pi\) | |||||||
\(182\) | −1.85551e8 | −0.169113 | ||||||||
\(183\) | − | 8.69266e7i | − | 0.0775083i | ||||||
\(184\) | −2.42733e8 | + | 1.40142e8i | −0.211766 | + | 0.122263i | ||||
\(185\) | 2.86403e9 | + | 1.65355e9i | 2.44507 | + | 1.41166i | ||||
\(186\) | 4.42444e6 | − | 2.55445e6i | 0.00369663 | − | 0.00213425i | ||||
\(187\) | 1.09291e9 | − | 1.89298e9i | 0.893754 | − | 1.54803i | ||||
\(188\) | −3.88330e8 | + | 6.72608e8i | −0.310864 | + | 0.538431i | ||||
\(189\) | 1.52103e8i | 0.119204i | ||||||||
\(190\) | 4.83554e8 | − | 1.39022e9i | 0.371049 | − | 1.06676i | ||||
\(191\) | 1.53952e9 | 1.15678 | 0.578391 | − | 0.815760i | \(-0.303681\pi\) | ||||
0.578391 | + | 0.815760i | \(0.303681\pi\) | |||||||
\(192\) | 6.78335e6 | + | 3.91637e6i | 0.00499160 | + | 0.00288190i | ||||
\(193\) | −1.24835e9 | − | 7.20734e8i | −0.899718 | − | 0.519453i | −0.0226094 | − | 0.999744i | \(-0.507197\pi\) |
−0.877109 | + | 0.480292i | \(0.840531\pi\) | |||||||
\(194\) | 9.71768e8 | + | 1.68315e9i | 0.686050 | + | 1.18827i | ||||
\(195\) | −9.84140e6 | + | 1.70458e7i | −0.00680641 | + | 0.0117891i | ||||
\(196\) | 2.48805e8 | + | 4.30943e8i | 0.168591 | + | 0.292009i | ||||
\(197\) | 8.82494e8 | 0.585932 | 0.292966 | − | 0.956123i | \(-0.405358\pi\) | ||||
0.292966 | + | 0.956123i | \(0.405358\pi\) | |||||||
\(198\) | 1.75829e9i | 1.14401i | ||||||||
\(199\) | 9.37233e7 | + | 1.62334e8i | 0.0597634 | + | 0.103513i | 0.894359 | − | 0.447350i | \(-0.147632\pi\) |
−0.834596 | + | 0.550863i | \(0.814299\pi\) | |||||||
\(200\) | 7.59988e8 | − | 4.38780e8i | 0.474993 | − | 0.274237i | ||||
\(201\) | 6.63210e7 | 0.0406319 | ||||||||
\(202\) | − | 5.82869e8i | − | 0.350078i | ||||||
\(203\) | 3.39754e8 | − | 1.96157e8i | 0.200069 | − | 0.115510i | ||||
\(204\) | 3.81241e7 | + | 2.20110e7i | 0.0220130 | + | 0.0127092i | ||||
\(205\) | −3.61482e9 | + | 2.08702e9i | −2.04678 | + | 1.18171i | ||||
\(206\) | 1.08006e9 | − | 1.87073e9i | 0.599765 | − | 1.03882i | ||||
\(207\) | 6.33575e8 | − | 1.09738e9i | 0.345078 | − | 0.597692i | ||||
\(208\) | − | 8.64889e7i | − | 0.0462069i | ||||||
\(209\) | 2.34104e9 | − | 2.02223e9i | 1.22694 | − | 1.05985i | ||||
\(210\) | 1.31059e8 | 0.0673894 | ||||||||
\(211\) | −1.98869e9 | − | 1.14817e9i | −1.00332 | − | 0.579265i | −0.0940889 | − | 0.995564i | \(-0.529994\pi\) |
−0.909228 | + | 0.416299i | \(0.863327\pi\) | |||||||
\(212\) | −6.34806e7 | − | 3.66505e7i | −0.0314266 | − | 0.0181442i | ||||
\(213\) | −7.42764e7 | − | 1.28650e8i | −0.0360855 | − | 0.0625018i | ||||
\(214\) | 5.64674e8 | − | 9.78043e8i | 0.269242 | − | 0.466340i | ||||
\(215\) | −1.79892e8 | − | 3.11583e8i | −0.0841897 | − | 0.145821i | ||||
\(216\) | −7.08985e7 | −0.0325703 | ||||||||
\(217\) | 3.75626e8i | 0.169401i | ||||||||
\(218\) | −6.60651e8 | − | 1.14428e9i | −0.292514 | − | 0.506648i | ||||
\(219\) | 6.25576e7 | − | 3.61176e7i | 0.0271959 | − | 0.0157016i | ||||
\(220\) | 3.03327e9 | 1.29485 | ||||||||
\(221\) | − | 4.86090e8i | − | 0.203773i | ||||||
\(222\) | −1.21228e8 | + | 6.99913e7i | −0.0499106 | + | 0.0288159i | ||||
\(223\) | −1.97348e9 | − | 1.13939e9i | −0.798021 | − | 0.460737i | 0.0447580 | − | 0.998998i | \(-0.485748\pi\) |
−0.842779 | + | 0.538261i | \(0.819082\pi\) | |||||||
\(224\) | −4.98738e8 | + | 2.87947e8i | −0.198098 | + | 0.114372i | ||||
\(225\) | −1.98370e9 | + | 3.43588e9i | −0.774011 | + | 1.34063i | ||||
\(226\) | −1.07605e9 | + | 1.86378e9i | −0.412478 | + | 0.714432i | ||||
\(227\) | 2.88361e9i | 1.08601i | 0.839730 | + | 0.543005i | \(0.182713\pi\) | ||||
−0.839730 | + | 0.543005i | \(0.817287\pi\) | |||||||
\(228\) | 4.07272e7 | + | 4.71481e7i | 0.0150711 | + | 0.0174472i | ||||
\(229\) | 2.43930e9 | 0.886998 | 0.443499 | − | 0.896275i | \(-0.353737\pi\) | ||||
0.443499 | + | 0.896275i | \(0.353737\pi\) | |||||||
\(230\) | −1.89313e9 | − | 1.09300e9i | −0.676502 | − | 0.390579i | ||||
\(231\) | 2.38545e8 | + | 1.37724e8i | 0.0837765 | + | 0.0483684i | ||||
\(232\) | 9.14327e7 | + | 1.58366e8i | 0.0315609 | + | 0.0546651i | ||||
\(233\) | −6.55835e8 | + | 1.13594e9i | −0.222521 | + | 0.385418i | −0.955573 | − | 0.294755i | \(-0.904762\pi\) |
0.733052 | + | 0.680173i | \(0.238095\pi\) | |||||||
\(234\) | 1.95507e8 | + | 3.38627e8i | 0.0652075 | + | 0.112943i | ||||
\(235\) | −6.05736e9 | −1.98615 | ||||||||
\(236\) | 1.31001e8i | 0.0422307i | ||||||||
\(237\) | −4.20076e7 | − | 7.27592e7i | −0.0133148 | − | 0.0230619i | ||||
\(238\) | −2.80304e9 | + | 1.61833e9i | −0.873616 | + | 0.504383i | ||||
\(239\) | −5.63331e9 | −1.72652 | −0.863260 | − | 0.504759i | \(-0.831581\pi\) | ||||
−0.863260 | + | 0.504759i | \(0.831581\pi\) | |||||||
\(240\) | 6.10894e7i | 0.0184129i | ||||||||
\(241\) | 2.86965e9 | − | 1.65680e9i | 0.850671 | − | 0.491135i | −0.0102064 | − | 0.999948i | \(-0.503249\pi\) |
0.860877 | + | 0.508813i | \(0.169916\pi\) | |||||||
\(242\) | 3.42066e9 | + | 1.97492e9i | 0.997351 | + | 0.575821i | ||||
\(243\) | 4.16527e8 | − | 2.40482e8i | 0.119459 | − | 0.0689696i | ||||
\(244\) | −1.48953e9 | + | 2.57994e9i | −0.420232 | + | 0.727864i | ||||
\(245\) | −1.94049e9 | + | 3.36103e9i | −0.538577 | + | 0.932843i | ||||
\(246\) | − | 1.76678e8i | − | 0.0482438i | ||||||
\(247\) | 2.26005e8 | − | 6.49764e8i | 0.0607198 | − | 0.174569i | ||||
\(248\) | −1.75087e8 | −0.0462857 | ||||||||
\(249\) | 2.03186e8 | + | 1.17309e8i | 0.0528561 | + | 0.0305165i | ||||
\(250\) | 2.10650e9 | + | 1.21619e9i | 0.539264 | + | 0.311344i | ||||
\(251\) | −4.34156e8 | − | 7.51980e8i | −0.109383 | − | 0.189457i | 0.806137 | − | 0.591728i | \(-0.201554\pi\) |
−0.915521 | + | 0.402271i | \(0.868221\pi\) | |||||||
\(252\) | 1.30180e9 | − | 2.25478e9i | 0.322805 | − | 0.559115i | ||||
\(253\) | −2.29716e9 | − | 3.97880e9i | −0.560672 | − | 0.971113i | ||||
\(254\) | 4.43567e9 | 1.06567 | ||||||||
\(255\) | 3.43338e8i | 0.0812010i | ||||||||
\(256\) | −1.34218e8 | − | 2.32472e8i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −5.53794e9 | + | 3.19733e9i | −1.26945 | + | 0.732917i | −0.974884 | − | 0.222714i | \(-0.928509\pi\) |
−0.294566 | + | 0.955631i | \(0.595175\pi\) | |||||||
\(258\) | 1.52289e7 | 0.00343708 | ||||||||
\(259\) | − | 1.02921e10i | − | 2.28720i | ||||||
\(260\) | 5.84176e8 | − | 3.37274e8i | 0.127835 | − | 0.0738057i | ||||
\(261\) | −7.15967e8 | − | 4.13364e8i | −0.154288 | − | 0.0890779i | ||||
\(262\) | −1.42378e9 | + | 8.22022e8i | −0.302161 | + | 0.174453i | ||||
\(263\) | 2.19599e8 | − | 3.80357e8i | 0.0458995 | − | 0.0795002i | −0.842163 | − | 0.539223i | \(-0.818718\pi\) |
0.888062 | + | 0.459723i | \(0.152051\pi\) | |||||||
\(264\) | −6.41959e7 | + | 1.11191e8i | −0.0132157 | + | 0.0228903i | ||||
\(265\) | − | 5.71693e8i | − | 0.115926i | ||||||
\(266\) | −4.49930e9 | + | 8.59993e8i | −0.898707 | + | 0.171778i | ||||
\(267\) | −1.63785e7 | −0.00322277 | ||||||||
\(268\) | −1.96838e9 | − | 1.13644e9i | −0.381565 | − | 0.220297i | ||||
\(269\) | 7.74561e9 | + | 4.47193e9i | 1.47927 | + | 0.854055i | 0.999725 | − | 0.0234636i | \(-0.00746937\pi\) |
0.479542 | + | 0.877519i | \(0.340803\pi\) | |||||||
\(270\) | −2.76477e8 | − | 4.78873e8i | −0.0520241 | − | 0.0901083i | ||||
\(271\) | 3.55492e8 | − | 6.15731e8i | 0.0659102 | − | 0.114160i | −0.831187 | − | 0.555993i | \(-0.812338\pi\) |
0.897097 | + | 0.441833i | \(0.145672\pi\) | |||||||
\(272\) | −7.54337e8 | − | 1.30655e9i | −0.137813 | − | 0.238699i | ||||
\(273\) | 6.12550e7 | 0.0110279 | ||||||||
\(274\) | − | 4.88051e9i | − | 0.865890i | ||||||
\(275\) | 7.19234e9 | + | 1.24575e10i | 1.25759 | + | 2.17821i | ||||
\(276\) | 8.01322e7 | − | 4.62643e7i | 0.0138093 | − | 0.00797278i | ||||
\(277\) | 9.64984e9 | 1.63908 | 0.819542 | − | 0.573020i | \(-0.194228\pi\) | ||||
0.819542 | + | 0.573020i | \(0.194228\pi\) | |||||||
\(278\) | − | 5.90970e9i | − | 0.989433i | ||||||
\(279\) | 6.85512e8 | − | 3.95781e8i | 0.113135 | − | 0.0653187i | ||||
\(280\) | −3.88978e9 | − | 2.24577e9i | −0.632839 | − | 0.365370i | ||||
\(281\) | 7.18866e9 | − | 4.15037e9i | 1.15298 | − | 0.665674i | 0.203370 | − | 0.979102i | \(-0.434811\pi\) |
0.949612 | + | 0.313428i | \(0.101477\pi\) | |||||||
\(282\) | 1.28198e8 | − | 2.22045e8i | 0.0202714 | − | 0.0351111i | ||||
\(283\) | 2.09687e9 | − | 3.63188e9i | 0.326908 | − | 0.566221i | −0.654989 | − | 0.755639i | \(-0.727327\pi\) |
0.981897 | + | 0.189418i | \(0.0606600\pi\) | |||||||
\(284\) | 5.09104e9i | 0.782588i | ||||||||
\(285\) | −1.59634e8 | + | 4.58945e8i | −0.0241961 | + | 0.0695635i | ||||
\(286\) | 1.41770e9 | 0.211895 | ||||||||
\(287\) | 1.12497e10 | + | 6.49502e9i | 1.65811 | + | 0.957311i | ||||
\(288\) | 1.05100e9 | + | 6.06793e8i | 0.152768 | + | 0.0882004i | ||||
\(289\) | −7.51687e8 | − | 1.30196e9i | −0.107757 | − | 0.186641i | ||||
\(290\) | −7.13106e8 | + | 1.23514e9i | −0.100824 | + | 0.174632i | ||||
\(291\) | −3.20805e8 | − | 5.55651e8i | −0.0447372 | − | 0.0774872i | ||||
\(292\) | −2.47557e9 | −0.340521 | ||||||||
\(293\) | − | 4.65205e9i | − | 0.631211i | −0.948891 | − | 0.315605i | \(-0.897792\pi\) | ||
0.948891 | − | 0.315605i | \(-0.102208\pi\) | |||||||
\(294\) | −8.21369e7 | − | 1.42265e8i | −0.0109938 | − | 0.0190419i | ||||
\(295\) | −8.84828e8 | + | 5.10856e8i | −0.116834 | + | 0.0674544i | ||||
\(296\) | 4.79733e9 | 0.624933 | ||||||||
\(297\) | − | 1.16215e9i | − | 0.149360i | ||||||
\(298\) | −2.69451e9 | + | 1.55568e9i | −0.341676 | + | 0.197267i | ||||
\(299\) | −8.84818e8 | − | 5.10850e8i | −0.110705 | − | 0.0639158i | ||||
\(300\) | −2.50891e8 | + | 1.44852e8i | −0.0309742 | + | 0.0178830i | ||||
\(301\) | −5.59845e8 | + | 9.69679e8i | −0.0682027 | + | 0.118131i | ||||
\(302\) | −1.06810e9 | + | 1.85001e9i | −0.128406 | + | 0.222406i | ||||
\(303\) | 1.92420e8i | 0.0228286i | ||||||||
\(304\) | −4.00860e8 | − | 2.09721e9i | −0.0469351 | − | 0.245555i | ||||
\(305\) | −2.32344e10 | −2.68492 | ||||||||
\(306\) | 5.90686e9 | + | 3.41033e9i | 0.673707 | + | 0.388965i | ||||
\(307\) | −1.20891e9 | − | 6.97965e8i | −0.136095 | − | 0.0785743i | 0.430407 | − | 0.902635i | \(-0.358370\pi\) |
−0.566501 | + | 0.824061i | \(0.691703\pi\) | |||||||
\(308\) | −4.71993e9 | − | 8.17516e9i | −0.524485 | − | 0.908435i | ||||
\(309\) | −3.56557e8 | + | 6.17574e8i | −0.0391106 | + | 0.0677416i | ||||
\(310\) | −6.82773e8 | − | 1.18260e9i | −0.0739315 | − | 0.128053i | ||||
\(311\) | 9.24250e8 | 0.0987980 | 0.0493990 | − | 0.998779i | \(-0.484269\pi\) | ||||
0.0493990 | + | 0.998779i | \(0.484269\pi\) | |||||||
\(312\) | 2.85522e7i | 0.00301315i | ||||||||
\(313\) | 1.38735e9 | + | 2.40296e9i | 0.144547 | + | 0.250362i | 0.929204 | − | 0.369568i | \(-0.120494\pi\) |
−0.784657 | + | 0.619930i | \(0.787161\pi\) | |||||||
\(314\) | −3.11990e9 | + | 1.80127e9i | −0.320938 | + | 0.185294i | ||||
\(315\) | 2.03060e10 | 2.06245 | ||||||||
\(316\) | 2.87928e9i | 0.288759i | ||||||||
\(317\) | 5.72194e9 | − | 3.30356e9i | 0.566639 | − | 0.327149i | −0.189167 | − | 0.981945i | \(-0.560579\pi\) |
0.755806 | + | 0.654796i | \(0.227245\pi\) | |||||||
\(318\) | 2.09566e7 | + | 1.20993e7i | 0.00204933 | + | 0.00118318i | ||||
\(319\) | −2.59589e9 | + | 1.49874e9i | −0.250682 | + | 0.144731i | ||||
\(320\) | 1.04680e9 | − | 1.81311e9i | 0.0998303 | − | 0.172911i | ||||
\(321\) | −1.86413e8 | + | 3.22877e8i | −0.0175572 | + | 0.0304100i | ||||
\(322\) | 6.80307e9i | 0.632822i | ||||||||
\(323\) | −2.25293e9 | − | 1.17869e10i | −0.206985 | − | 1.08290i | ||||
\(324\) | −5.47486e9 | −0.496813 | ||||||||
\(325\) | 2.77034e9 | + | 1.59945e9i | 0.248313 | + | 0.143363i | ||||
\(326\) | 4.41869e9 | + | 2.55113e9i | 0.391222 | + | 0.225872i | ||||
\(327\) | 2.18097e8 | + | 3.77756e8i | 0.0190748 | + | 0.0330385i | ||||
\(328\) | −3.02746e9 | + | 5.24371e9i | −0.261567 | + | 0.453047i | ||||
\(329\) | 9.42559e9 | + | 1.63256e10i | 0.804498 | + | 1.39343i | ||||
\(330\) | −1.00136e9 | −0.0844372 | ||||||||
\(331\) | 8.51908e9i | 0.709710i | 0.934921 | + | 0.354855i | \(0.115470\pi\) | ||||
−0.934921 | + | 0.354855i | \(0.884530\pi\) | |||||||
\(332\) | −4.02030e9 | − | 6.96336e9i | −0.330907 | − | 0.573148i | ||||
\(333\) | −1.87828e10 | + | 1.08443e10i | −1.52751 | + | 0.881909i | ||||
\(334\) | −8.39255e9 | −0.674385 | ||||||||
\(335\) | − | 1.77268e10i | − | 1.40751i | ||||||
\(336\) | 1.64646e8 | − | 9.50585e7i | 0.0129180 | − | 0.00745820i | ||||
\(337\) | −3.64148e9 | − | 2.10241e9i | −0.282331 | − | 0.163004i | 0.352147 | − | 0.935945i | \(-0.385452\pi\) |
−0.634478 | + | 0.772941i | \(0.718785\pi\) | |||||||
\(338\) | −7.71946e9 | + | 4.45683e9i | −0.591453 | + | 0.341476i | ||||
\(339\) | 3.55233e8 | − | 6.15281e8i | 0.0268976 | − | 0.0465881i | ||||
\(340\) | 5.88326e9 | − | 1.01901e10i | 0.440253 | − | 0.762541i | ||||
\(341\) | − | 2.86997e9i | − | 0.212256i | ||||||
\(342\) | 6.31018e9 | + | 7.30501e9i | 0.461251 | + | 0.533970i | ||||
\(343\) | −5.83219e9 | −0.421362 | ||||||||
\(344\) | −4.51987e8 | − | 2.60955e8i | −0.0322769 | − | 0.0186351i | ||||
\(345\) | 6.24970e8 | + | 3.60827e8i | 0.0441147 | + | 0.0254696i | ||||
\(346\) | 8.06561e8 | + | 1.39700e9i | 0.0562773 | + | 0.0974751i | ||||
\(347\) | 1.92414e9 | − | 3.33272e9i | 0.132715 | − | 0.229869i | −0.792007 | − | 0.610512i | \(-0.790964\pi\) |
0.924722 | + | 0.380643i | \(0.124297\pi\) | |||||||
\(348\) | −3.01842e7 | − | 5.22806e7i | −0.00205808 | − | 0.00356471i | ||||
\(349\) | 1.97868e10 | 1.33375 | 0.666876 | − | 0.745169i | \(-0.267631\pi\) | ||||
0.666876 | + | 0.745169i | \(0.267631\pi\) | |||||||
\(350\) | − | 2.13002e10i | − | 1.41942i | ||||||
\(351\) | −1.29221e8 | − | 2.23817e8i | −0.00851342 | − | 0.0147457i | ||||
\(352\) | 3.81061e9 | − | 2.20006e9i | 0.248212 | − | 0.143306i | ||||
\(353\) | −1.83657e10 | −1.18279 | −0.591395 | − | 0.806382i | \(-0.701423\pi\) | ||||
−0.591395 | + | 0.806382i | \(0.701423\pi\) | |||||||
\(354\) | − | 4.32469e7i | − | 0.00275386i | ||||||
\(355\) | −3.43867e10 | + | 1.98531e10i | −2.16509 | + | 1.25002i | ||||
\(356\) | 4.86106e8 | + | 2.80653e8i | 0.0302643 | + | 0.0174731i | ||||
\(357\) | 9.25353e8 | − | 5.34253e8i | 0.0569685 | − | 0.0328908i | ||||
\(358\) | 4.35950e9 | − | 7.55087e9i | 0.265402 | − | 0.459690i | ||||
\(359\) | −1.24588e10 | + | 2.15793e10i | −0.750067 | + | 1.29915i | 0.197723 | + | 0.980258i | \(0.436645\pi\) |
−0.947790 | + | 0.318896i | \(0.896688\pi\) | |||||||
\(360\) | 9.46505e9i | 0.563525i | ||||||||
\(361\) | 2.46872e9 | − | 1.68032e10i | 0.145359 | − | 0.989379i | ||||
\(362\) | −9.87401e9 | −0.574989 | ||||||||
\(363\) | −1.12925e9 | − | 6.51970e8i | −0.0650372 | − | 0.0375493i | ||||
\(364\) | −1.81802e9 | − | 1.04963e9i | −0.103560 | − | 0.0597905i | ||||
\(365\) | −9.65379e9 | − | 1.67209e10i | −0.543909 | − | 0.942079i | ||||
\(366\) | 4.91731e8 | − | 8.51703e8i | 0.0274033 | − | 0.0474639i | ||||
\(367\) | −6.40939e9 | − | 1.11014e10i | −0.353307 | − | 0.611946i | 0.633519 | − | 0.773727i | \(-0.281610\pi\) |
−0.986827 | + | 0.161780i | \(0.948276\pi\) | |||||||
\(368\) | −3.17105e9 | −0.172906 | ||||||||
\(369\) | − | 2.73740e10i | − | 1.47650i | ||||||
\(370\) | 1.87078e10 | + | 3.24028e10i | 0.998196 | + | 1.72893i | ||||
\(371\) | −1.54081e9 | + | 8.89586e8i | −0.0813304 | + | 0.0469561i | ||||
\(372\) | 5.78006e7 | 0.00301829 | ||||||||
\(373\) | 3.24555e10i | 1.67669i | 0.545138 | + | 0.838347i | \(0.316477\pi\) | ||||
−0.545138 | + | 0.838347i | \(0.683523\pi\) | |||||||
\(374\) | 2.14166e10 | − | 1.23649e10i | 1.09462 | − | 0.631979i | ||||
\(375\) | −6.95409e8 | − | 4.01495e8i | −0.0351654 | − | 0.0203027i | ||||
\(376\) | −7.60969e9 | + | 4.39345e9i | −0.380729 | + | 0.219814i | ||||
\(377\) | −3.33294e8 | + | 5.77282e8i | −0.0164992 | + | 0.0285774i | ||||
\(378\) | −8.60427e8 | + | 1.49030e9i | −0.0421451 | + | 0.0729974i | ||||
\(379\) | 2.78577e10i | 1.35017i | 0.737741 | + | 0.675084i | \(0.235893\pi\) | ||||
−0.737741 | + | 0.675084i | \(0.764107\pi\) | |||||||
\(380\) | 1.26021e10 | − | 1.08859e10i | 0.604378 | − | 0.522071i | ||||
\(381\) | −1.46433e9 | −0.0694926 | ||||||||
\(382\) | 1.50841e10 | + | 8.70883e9i | 0.708381 | + | 0.408984i | ||||
\(383\) | 3.32472e10 | + | 1.91953e10i | 1.54511 | + | 0.892070i | 0.998504 | + | 0.0546796i | \(0.0174138\pi\) |
0.546606 | + | 0.837390i | \(0.315920\pi\) | |||||||
\(384\) | 4.43087e7 | + | 7.67449e7i | 0.00203781 | + | 0.00352959i | ||||
\(385\) | 3.68119e10 | − | 6.37601e10i | 1.67550 | − | 2.90206i | ||||
\(386\) | −8.15418e9 | − | 1.41234e10i | −0.367308 | − | 0.636197i | ||||
\(387\) | 2.35953e9 | 0.105192 | ||||||||
\(388\) | 2.19886e10i | 0.970221i | ||||||||
\(389\) | −4.14053e9 | − | 7.17160e9i | −0.180824 | − | 0.313197i | 0.761337 | − | 0.648356i | \(-0.224543\pi\) |
−0.942162 | + | 0.335159i | \(0.891210\pi\) | |||||||
\(390\) | −1.92851e8 | + | 1.11343e8i | −0.00833612 | + | 0.00481286i | ||||
\(391\) | −1.78221e10 | −0.762520 | ||||||||
\(392\) | 5.62982e9i | 0.238424i | ||||||||
\(393\) | 4.70027e8 | − | 2.71370e8i | 0.0197039 | − | 0.0113761i | ||||
\(394\) | 8.64664e9 | + | 4.99214e9i | 0.358808 | + | 0.207158i | ||||
\(395\) | −1.94476e10 | + | 1.12281e10i | −0.798874 | + | 0.461230i | ||||
\(396\) | −9.94636e9 | + | 1.72276e10i | −0.404467 | + | 0.700558i | ||||
\(397\) | 1.06035e9 | − | 1.83658e9i | 0.0426862 | − | 0.0739347i | −0.843893 | − | 0.536512i | \(-0.819742\pi\) |
0.886579 | + | 0.462577i | \(0.153075\pi\) | |||||||
\(398\) | 2.12072e9i | 0.0845182i | ||||||||
\(399\) | 1.48533e9 | − | 2.83905e8i | 0.0586046 | − | 0.0112016i | ||||
\(400\) | 9.92845e9 | 0.387830 | ||||||||
\(401\) | −3.51793e10 | − | 2.03108e10i | −1.36054 | − | 0.785506i | −0.370841 | − | 0.928696i | \(-0.620931\pi\) |
−0.989695 | + | 0.143190i | \(0.954264\pi\) | |||||||
\(402\) | 6.49811e8 | + | 3.75168e8i | 0.0248819 | + | 0.0143655i | ||||
\(403\) | −3.19117e8 | − | 5.52726e8i | −0.0120984 | − | 0.0209551i | ||||
\(404\) | 3.29720e9 | − | 5.71092e9i | 0.123771 | − | 0.214378i | ||||
\(405\) | −2.13499e10 | − | 3.69791e10i | −0.793552 | − | 1.37447i | ||||
\(406\) | 4.43853e9 | 0.163356 | ||||||||
\(407\) | 7.86364e10i | 2.86580i | ||||||||
\(408\) | 2.49026e8 | + | 4.31325e8i | 0.00898677 | + | 0.0155655i | ||||
\(409\) | −3.83276e9 | + | 2.21285e9i | −0.136968 | + | 0.0790784i | −0.566918 | − | 0.823774i | \(-0.691864\pi\) |
0.429950 | + | 0.902853i | \(0.358531\pi\) | |||||||
\(410\) | −4.72238e10 | −1.67119 | ||||||||
\(411\) | 1.61118e9i | 0.0564646i | ||||||||
\(412\) | 2.11649e10 | − | 1.22195e10i | 0.734559 | − | 0.424098i | ||||
\(413\) | 2.75368e9 | + | 1.58984e9i | 0.0946485 | + | 0.0546453i | ||||
\(414\) | 1.24155e10 | − | 7.16809e9i | 0.422632 | − | 0.244007i | ||||
\(415\) | 3.13553e10 | − | 5.43090e10i | 1.05711 | − | 1.83096i | ||||
\(416\) | 4.89255e8 | − | 8.47415e8i | 0.0163366 | − | 0.0282959i | ||||
\(417\) | 1.95094e9i | 0.0645208i | ||||||||
\(418\) | 3.43769e10 | − | 6.57077e9i | 1.12606 | − | 0.215234i | ||||
\(419\) | 9.54198e9 | 0.309587 | 0.154793 | − | 0.987947i | \(-0.450529\pi\) | ||||
0.154793 | + | 0.987947i | \(0.450529\pi\) | |||||||
\(420\) | 1.28412e9 | + | 7.41384e8i | 0.0412674 | + | 0.0238257i | ||||
\(421\) | 2.52800e10 | + | 1.45954e10i | 0.804726 | + | 0.464609i | 0.845121 | − | 0.534575i | \(-0.179528\pi\) |
−0.0403949 | + | 0.999184i | \(0.512862\pi\) | |||||||
\(422\) | −1.29901e10 | − | 2.24995e10i | −0.409602 | − | 0.709452i | ||||
\(423\) | 1.98626e10 | − | 3.44031e10i | 0.620405 | − | 1.07457i | ||||
\(424\) | −4.14654e8 | − | 7.18201e8i | −0.0128299 | − | 0.0222220i | ||||
\(425\) | 5.58004e10 | 1.71034 | ||||||||
\(426\) | − | 1.68068e9i | − | 0.0510325i | ||||||
\(427\) | 3.61540e10 | + | 6.26205e10i | 1.08754 | + | 1.88367i | ||||
\(428\) | 1.10653e10 | − | 6.38855e9i | 0.329752 | − | 0.190383i | ||||
\(429\) | −4.68018e8 | −0.0138176 | ||||||||
\(430\) | − | 4.07050e9i | − | 0.119062i | ||||||
\(431\) | 1.08726e10 | − | 6.27731e9i | 0.315083 | − | 0.181913i | −0.334116 | − | 0.942532i | \(-0.608438\pi\) |
0.649199 | + | 0.760619i | \(0.275104\pi\) | |||||||
\(432\) | −6.94660e8 | − | 4.01062e8i | −0.0199452 | − | 0.0115153i | ||||
\(433\) | −4.81028e10 | + | 2.77722e10i | −1.36842 | + | 0.790057i | −0.990726 | − | 0.135875i | \(-0.956616\pi\) |
−0.377692 | + | 0.925931i | \(0.623282\pi\) | |||||||
\(434\) | −2.12486e9 | + | 3.68037e9i | −0.0598925 | + | 0.103737i | ||||
\(435\) | 2.35414e8 | − | 4.07749e8i | 0.00657470 | − | 0.0113877i | ||||
\(436\) | − | 1.49488e10i | − | 0.413677i | ||||||
\(437\) | −2.38231e10 | − | 8.28630e9i | −0.653238 | − | 0.227214i | ||||
\(438\) | 8.17249e8 | 0.0222054 | ||||||||
\(439\) | 2.97300e10 | + | 1.71646e10i | 0.800454 | + | 0.462142i | 0.843630 | − | 0.536925i | \(-0.180414\pi\) |
−0.0431761 | + | 0.999067i | \(0.513748\pi\) | |||||||
\(440\) | 2.97199e10 | + | 1.71588e10i | 0.792932 | + | 0.457800i | ||||
\(441\) | −1.27261e10 | − | 2.20423e10i | −0.336466 | − | 0.582776i | ||||
\(442\) | 2.74974e9 | − | 4.76269e9i | 0.0720447 | − | 0.124785i | ||||
\(443\) | −8.81444e9 | − | 1.52671e10i | −0.228865 | − | 0.396406i | 0.728607 | − | 0.684932i | \(-0.240168\pi\) |
−0.957472 | + | 0.288526i | \(0.906835\pi\) | |||||||
\(444\) | −1.58372e9 | −0.0407518 | ||||||||
\(445\) | 4.37777e9i | 0.111638i | ||||||||
\(446\) | −1.28907e10 | − | 2.23274e10i | −0.325791 | − | 0.564286i | ||||
\(447\) | 8.89526e8 | − | 5.13568e8i | 0.0222807 | − | 0.0128638i | ||||
\(448\) | −6.51549e9 | −0.161747 | ||||||||
\(449\) | 2.98371e10i | 0.734128i | 0.930196 | + | 0.367064i | \(0.119637\pi\) | ||||
−0.930196 | + | 0.367064i | \(0.880363\pi\) | |||||||
\(450\) | −3.88725e10 | + | 2.24431e10i | −0.947966 | + | 0.547308i | ||||
\(451\) | −8.59533e10 | − | 4.96252e10i | −2.07757 | − | 1.19949i | ||||
\(452\) | −2.10863e10 | + | 1.21742e10i | −0.505180 | + | 0.291666i | ||||
\(453\) | 3.52608e8 | − | 6.10736e8i | 0.00837336 | − | 0.0145031i | ||||
\(454\) | −1.63122e10 | + | 2.82535e10i | −0.383962 | + | 0.665042i | ||||
\(455\) | − | 1.63727e10i | − | 0.382010i | ||||||
\(456\) | 1.32334e8 | + | 6.92343e8i | 0.00306064 | + | 0.0160126i | ||||
\(457\) | 5.03973e10 | 1.15543 | 0.577713 | − | 0.816240i | \(-0.303945\pi\) | ||||
0.577713 | + | 0.816240i | \(0.303945\pi\) | |||||||
\(458\) | 2.39001e10 | + | 1.37987e10i | 0.543173 | + | 0.313601i | ||||
\(459\) | −3.90416e9 | − | 2.25407e9i | −0.0879584 | − | 0.0507828i | ||||
\(460\) | −1.23659e10 | − | 2.14183e10i | −0.276181 | − | 0.478359i | ||||
\(461\) | 1.57522e10 | − | 2.72837e10i | 0.348770 | − | 0.604087i | −0.637261 | − | 0.770648i | \(-0.719933\pi\) |
0.986031 | + | 0.166561i | \(0.0532662\pi\) | |||||||
\(462\) | 1.55817e9 | + | 2.69883e9i | 0.0342016 | + | 0.0592390i | ||||
\(463\) | 3.62027e9 | 0.0787801 | 0.0393901 | − | 0.999224i | \(-0.487459\pi\) | ||||
0.0393901 | + | 0.999224i | \(0.487459\pi\) | |||||||
\(464\) | 2.06889e9i | 0.0446339i | ||||||||
\(465\) | 2.25401e8 | + | 3.90405e8i | 0.00482107 | + | 0.00835033i | ||||
\(466\) | −1.28517e10 | + | 7.41993e9i | −0.272531 | + | 0.157346i | ||||
\(467\) | 1.82249e9 | 0.0383175 | 0.0191587 | − | 0.999816i | \(-0.493901\pi\) | ||||
0.0191587 | + | 0.999816i | \(0.493901\pi\) | |||||||
\(468\) | 4.42381e9i | 0.0922174i | ||||||||
\(469\) | −4.77766e10 | + | 2.75838e10i | −0.987470 | + | 0.570116i | ||||
\(470\) | −5.93498e10 | − | 3.42656e10i | −1.21626 | − | 0.702210i | ||||
\(471\) | 1.02996e9 | − | 5.94646e8i | 0.0209284 | − | 0.0120830i | ||||
\(472\) | −7.41056e8 | + | 1.28355e9i | −0.0149308 | + | 0.0258609i | ||||
\(473\) | 4.27749e9 | − | 7.40883e9i | 0.0854563 | − | 0.148015i | ||||
\(474\) | − | 9.50523e8i | − | 0.0188299i | ||||||
\(475\) | 7.45892e10 | + | 2.59441e10i | 1.46522 | + | 0.509641i | ||||
\(476\) | −3.66187e10 | −0.713305 | ||||||||
\(477\) | 3.24696e9 | + | 1.87463e9i | 0.0627196 | + | 0.0362112i | ||||
\(478\) | −5.51949e10 | − | 3.18668e10i | −1.05727 | − | 0.610417i | ||||
\(479\) | −8.37230e9 | − | 1.45013e10i | −0.159039 | − | 0.275463i | 0.775484 | − | 0.631368i | \(-0.217506\pi\) |
−0.934522 | + | 0.355905i | \(0.884173\pi\) | |||||||
\(480\) | −3.45574e8 | + | 5.98552e8i | −0.00650993 | + | 0.0112755i | ||||
\(481\) | 8.74371e9 | + | 1.51445e10i | 0.163349 | + | 0.282928i | ||||
\(482\) | 3.74890e10 | 0.694570 | ||||||||
\(483\) | − | 2.24586e9i | − | 0.0412663i | ||||||
\(484\) | 2.23436e10 | + | 3.87003e10i | 0.407167 | + | 0.705234i | ||||
\(485\) | −1.48518e11 | + | 8.57472e10i | −2.68419 | + | 1.54972i | ||||
\(486\) | 5.44149e9 | 0.0975377 | ||||||||
\(487\) | 5.09866e10i | 0.906442i | 0.891398 | + | 0.453221i | \(0.149725\pi\) | ||||
−0.891398 | + | 0.453221i | \(0.850275\pi\) | |||||||
\(488\) | −2.91887e10 | + | 1.68521e10i | −0.514677 | + | 0.297149i | ||||
\(489\) | −1.45872e9 | − | 8.42193e8i | −0.0255115 | − | 0.0147291i | ||||
\(490\) | −3.80258e10 | + | 2.19542e10i | −0.659619 | + | 0.380831i | ||||
\(491\) | 1.78538e10 | − | 3.09237e10i | 0.307189 | − | 0.532067i | −0.670557 | − | 0.741858i | \(-0.733945\pi\) |
0.977746 | + | 0.209791i | \(0.0672783\pi\) | |||||||
\(492\) | 9.99440e8 | − | 1.73108e9i | 0.0170568 | − | 0.0295432i | ||||
\(493\) | 1.16277e10i | 0.196836i | ||||||||
\(494\) | 5.89001e9 | − | 5.08788e9i | 0.0989027 | − | 0.0854336i | ||||
\(495\) | −1.55148e11 | −2.58420 | ||||||||
\(496\) | −1.71549e9 | − | 9.90441e8i | −0.0283441 | − | 0.0163645i | ||||
\(497\) | 1.07015e11 | + | 6.17852e10i | 1.75396 | + | 1.01265i | ||||
\(498\) | 1.32720e9 | + | 2.29878e9i | 0.0215784 | + | 0.0373749i | ||||
\(499\) | 2.51419e10 | − | 4.35470e10i | 0.405504 | − | 0.702354i | −0.588876 | − | 0.808223i | \(-0.700429\pi\) |
0.994380 | + | 0.105870i | \(0.0337627\pi\) | |||||||
\(500\) | 1.37596e10 | + | 2.38323e10i | 0.220154 | + | 0.381317i | ||||
\(501\) | 2.77059e9 | 0.0439766 | ||||||||
\(502\) | − | 9.82382e9i | − | 0.154691i | ||||||
\(503\) | −4.60879e9 | − | 7.98266e9i | −0.0719971 | − | 0.124703i | 0.827779 | − | 0.561054i | \(-0.189604\pi\) |
−0.899776 | + | 0.436351i | \(0.856271\pi\) | |||||||
\(504\) | 2.55099e10 | − | 1.47281e10i | 0.395354 | − | 0.228258i | ||||
\(505\) | 5.14314e10 | 0.790793 | ||||||||
\(506\) | − | 5.19788e10i | − | 0.792910i | ||||||
\(507\) | 2.54839e9 | − | 1.47131e9i | 0.0385686 | − | 0.0222676i | ||||
\(508\) | 4.34605e10 | + | 2.50920e10i | 0.652590 | + | 0.376773i | ||||
\(509\) | 3.42430e9 | − | 1.97702e9i | 0.0510154 | − | 0.0294537i | −0.474275 | − | 0.880377i | \(-0.657290\pi\) |
0.525291 | + | 0.850923i | \(0.323957\pi\) | |||||||
\(510\) | −1.94221e9 | + | 3.36401e9i | −0.0287089 | + | 0.0497252i | ||||
\(511\) | −3.00437e10 | + | 5.20372e10i | −0.440625 | + | 0.763185i | ||||
\(512\) | − | 3.03700e9i | − | 0.0441942i | ||||||
\(513\) | −4.17074e9 | − | 4.82828e9i | −0.0602204 | − | 0.0697144i | ||||
\(514\) | −7.23473e10 | −1.03650 | ||||||||
\(515\) | 1.65070e11 | + | 9.53031e10i | 2.34660 | + | 1.35481i | ||||
\(516\) | 1.49212e8 | + | 8.61478e7i | 0.00210478 | + | 0.00121519i | ||||
\(517\) | −7.20161e10 | − | 1.24736e11i | −1.00802 | − | 1.74594i | ||||
\(518\) | 5.82207e10 | − | 1.00841e11i | 0.808646 | − | 1.40062i | ||||
\(519\) | −2.66266e8 | − | 4.61187e8i | −0.00366984 | − | 0.00635634i | ||||
\(520\) | 7.63164e9 | 0.104377 | ||||||||
\(521\) | − | 1.29149e11i | − | 1.75283i | −0.481560 | − | 0.876413i | \(-0.659930\pi\) | ||
0.481560 | − | 0.876413i | \(-0.340070\pi\) | |||||||
\(522\) | −4.67668e9 | − | 8.10024e9i | −0.0629876 | − | 0.109098i | ||||
\(523\) | 5.20019e10 | − | 3.00233e10i | 0.695044 | − | 0.401284i | −0.110455 | − | 0.993881i | \(-0.535231\pi\) |
0.805499 | + | 0.592597i | \(0.201897\pi\) | |||||||
\(524\) | −1.86002e10 | −0.246714 | ||||||||
\(525\) | 7.03173e9i | 0.0925604i | ||||||||
\(526\) | 4.30325e9 | − | 2.48448e9i | 0.0562151 | − | 0.0324558i | ||||
\(527\) | −9.64151e9 | − | 5.56653e9i | −0.124998 | − | 0.0721676i | ||||
\(528\) | −1.25798e9 | + | 7.26294e8i | −0.0161859 | + | 0.00934494i | ||||
\(529\) | 2.04256e10 | − | 3.53782e10i | 0.260827 | − | 0.451765i | ||||
\(530\) | 3.23398e9 | − | 5.60143e9i | 0.0409859 | − | 0.0709897i | ||||
\(531\) | − | 6.70057e9i | − | 0.0842817i | ||||||
\(532\) | −4.89488e10 | − | 1.70257e10i | −0.611076 | − | 0.212549i | ||||
\(533\) | −2.20716e10 | −0.273480 | ||||||||
\(534\) | −1.60476e8 | − | 9.26507e7i | −0.00197353 | − | 0.00113942i | ||||
\(535\) | 8.63009e10 | + | 4.98259e10i | 1.05342 | + | 0.608191i | ||||
\(536\) | −1.28574e10 | − | 2.22696e10i | −0.155773 | − | 0.269807i | ||||
\(537\) | −1.43918e9 | + | 2.49273e9i | −0.0173069 | + | 0.0299763i | ||||
\(538\) | 5.05941e10 | + | 8.76316e10i | 0.603908 | + | 1.04600i | ||||
\(539\) | −9.22823e10 | −1.09336 | ||||||||
\(540\) | − | 6.25596e9i | − | 0.0735731i | ||||||
\(541\) | 6.55546e10 | + | 1.13544e11i | 0.765269 | + | 1.32548i | 0.940104 | + | 0.340886i | \(0.110727\pi\) |
−0.174836 | + | 0.984598i | \(0.555939\pi\) | |||||||
\(542\) | 6.96620e9 | − | 4.02193e9i | 0.0807232 | − | 0.0466056i | ||||
\(543\) | 3.25966e9 | 0.0374950 | ||||||||
\(544\) | − | 1.70687e10i | − | 0.194897i | ||||||
\(545\) | 1.00969e11 | − | 5.82947e10i | 1.14447 | − | 0.660759i | ||||
\(546\) | 6.00174e8 | + | 3.46511e8i | 0.00675315 | + | 0.00389894i | ||||
\(547\) | −2.34342e10 | + | 1.35298e10i | −0.261759 | + | 0.151127i | −0.625137 | − | 0.780515i | \(-0.714957\pi\) |
0.363378 | + | 0.931642i | \(0.381623\pi\) | |||||||
\(548\) | 2.76083e10 | − | 4.78190e10i | 0.306138 | − | 0.530247i | ||||
\(549\) | 7.61876e10 | − | 1.31961e11i | 0.838678 | − | 1.45263i | ||||
\(550\) | 1.62744e11i | 1.77850i | ||||||||
\(551\) | −5.40623e9 | + | 1.55429e10i | −0.0586527 | + | 0.168626i | ||||
\(552\) | 1.04684e9 | 0.0112752 | ||||||||
\(553\) | 6.05232e10 | + | 3.49431e10i | 0.647174 | + | 0.373646i | ||||
\(554\) | 9.45487e10 | + | 5.45877e10i | 1.00373 | + | 0.579503i | ||||
\(555\) | −6.17591e9 | − | 1.06970e10i | −0.0650923 | − | 0.112743i | ||||
\(556\) | 3.34303e10 | − | 5.79030e10i | 0.349817 | − | 0.605901i | ||||
\(557\) | 4.91396e10 | + | 8.51123e10i | 0.510518 | + | 0.884243i | 0.999926 | + | 0.0121877i | \(0.00387956\pi\) |
−0.489408 | + | 0.872055i | \(0.662787\pi\) | |||||||
\(558\) | 8.95549e9 | 0.0923746 | ||||||||
\(559\) | − | 1.90248e9i | − | 0.0194838i | ||||||
\(560\) | −2.54080e10 | − | 4.40079e10i | −0.258355 | − | 0.447485i | ||||
\(561\) | −7.07015e9 | + | 4.08195e9i | −0.0713801 | + | 0.0412113i | ||||
\(562\) | 9.39122e10 | 0.941406 | ||||||||
\(563\) | − | 1.82524e11i | − | 1.81672i | −0.418194 | − | 0.908358i | \(-0.637337\pi\) | ||
0.418194 | − | 0.908358i | \(-0.362663\pi\) | |||||||
\(564\) | 2.51215e9 | − | 1.45039e9i | 0.0248273 | − | 0.0143340i | ||||
\(565\) | −1.64457e11 | − | 9.49493e10i | −1.61383 | − | 0.931747i | ||||
\(566\) | 4.10901e10 | − | 2.37234e10i | 0.400379 | − | 0.231159i | ||||
\(567\) | −6.64432e10 | + | 1.15083e11i | −0.642863 | + | 1.11347i | ||||
\(568\) | −2.87993e10 | + | 4.98818e10i | −0.276687 | + | 0.479236i | ||||
\(569\) | 9.36433e10i | 0.893363i | 0.894693 | + | 0.446681i | \(0.147394\pi\) | ||||
−0.894693 | + | 0.446681i | \(0.852606\pi\) | |||||||
\(570\) | −4.16027e9 | + | 3.59370e9i | −0.0394114 | + | 0.0340442i | ||||
\(571\) | −1.30712e11 | −1.22962 | −0.614809 | − | 0.788676i | \(-0.710767\pi\) | ||||
−0.614809 | + | 0.788676i | \(0.710767\pi\) | |||||||
\(572\) | 1.38906e10 | + | 8.01972e9i | 0.129758 | + | 0.0749161i | ||||
\(573\) | −4.97965e9 | − | 2.87500e9i | −0.0461935 | − | 0.0266698i | ||||
\(574\) | 7.34828e10 | + | 1.27276e11i | 0.676921 | + | 1.17246i | ||||
\(575\) | 5.86427e10 | − | 1.01572e11i | 0.536466 | − | 0.929187i | ||||
\(576\) | 6.86508e9 | + | 1.18907e10i | 0.0623671 | + | 0.108023i | ||||
\(577\) | 1.10187e11 | 0.994091 | 0.497046 | − | 0.867724i | \(-0.334418\pi\) | ||||
0.497046 | + | 0.867724i | \(0.334418\pi\) | |||||||
\(578\) | − | 1.70087e10i | − | 0.152391i | ||||||
\(579\) | 2.69190e9 | + | 4.66251e9i | 0.0239522 | + | 0.0414863i | ||||
\(580\) | −1.39740e10 | + | 8.06787e9i | −0.123483 | + | 0.0712930i | ||||
\(581\) | −1.95162e11 | −1.71274 | ||||||||
\(582\) | − | 7.25899e9i | − | 0.0632680i | ||||||
\(583\) | 1.17725e10 | − | 6.79687e9i | 0.101905 | − | 0.0588349i | ||||
\(584\) | −2.42556e10 | − | 1.40040e10i | −0.208526 | − | 0.120392i | ||||
\(585\) | −2.98799e10 | + | 1.72512e10i | −0.255127 | + | 0.147297i | ||||
\(586\) | 2.63160e10 | − | 4.55806e10i | 0.223167 | − | 0.386536i | ||||
\(587\) | 2.46804e10 | − | 4.27477e10i | 0.207874 | − | 0.360048i | −0.743171 | − | 0.669102i | \(-0.766679\pi\) |
0.951044 | + | 0.309054i | \(0.100012\pi\) | |||||||
\(588\) | − | 1.85855e9i | − | 0.0155476i | ||||||
\(589\) | −1.02998e10 | − | 1.19236e10i | −0.0855793 | − | 0.0990713i | ||||
\(590\) | −1.15593e10 | −0.0953949 | ||||||||
\(591\) | −2.85448e9 | − | 1.64803e9i | −0.0233979 | − | 0.0135088i | ||||
\(592\) | 4.70041e10 | + | 2.71378e10i | 0.382691 | + | 0.220947i | ||||
\(593\) | 5.72285e10 | + | 9.91228e10i | 0.462801 | + | 0.801594i | 0.999099 | − | 0.0424341i | \(-0.0135112\pi\) |
−0.536299 | + | 0.844028i | \(0.680178\pi\) | |||||||
\(594\) | 6.57409e9 | − | 1.13867e10i | 0.0528068 | − | 0.0914640i | ||||
\(595\) | −1.42799e11 | − | 2.47335e11i | −1.13935 | − | 1.97341i | ||||
\(596\) | −3.52009e10 | −0.278978 | ||||||||
\(597\) | − | 7.00102e8i | − | 0.00551143i | ||||||
\(598\) | −5.77960e9 | − | 1.00106e10i | −0.0451953 | − | 0.0782806i | ||||
\(599\) | −1.96535e11 | + | 1.13470e11i | −1.52663 | + | 0.881398i | −0.527126 | + | 0.849787i | \(0.676730\pi\) |
−0.999500 | + | 0.0316107i | \(0.989936\pi\) | |||||||
\(600\) | −3.27763e9 | −0.0252904 | ||||||||
\(601\) | − | 3.34624e10i | − | 0.256483i | −0.991743 | − | 0.128242i | \(-0.959067\pi\) | ||
0.991743 | − | 0.128242i | \(-0.0409333\pi\) | |||||||
\(602\) | −1.09707e10 | + | 6.33392e9i | −0.0835309 | + | 0.0482266i | ||||
\(603\) | 1.00680e11 | + | 5.81277e10i | 0.761508 | + | 0.439657i | ||||
\(604\) | −2.09305e10 | + | 1.20842e10i | −0.157265 | + | 0.0907969i | ||||
\(605\) | −1.74264e11 | + | 3.01833e11i | −1.30072 | + | 2.25292i | ||||
\(606\) | −1.08849e9 | + | 1.88532e9i | −0.00807112 | + | 0.0139796i | ||||
\(607\) | − | 4.43501e10i | − | 0.326693i | −0.986569 | − | 0.163346i | \(-0.947771\pi\) | ||
0.986569 | − | 0.163346i | \(-0.0522288\pi\) | |||||||
\(608\) | 7.93602e9 | − | 2.28160e10i | 0.0580749 | − | 0.166965i | ||||
\(609\) | −1.46527e9 | −0.0106524 | ||||||||
\(610\) | −2.27650e11 | − | 1.31434e11i | −1.64417 | − | 0.949264i | ||||
\(611\) | −2.77391e10 | − | 1.60152e10i | −0.199034 | − | 0.114912i | ||||
\(612\) | 3.85835e10 | + | 6.68285e10i | 0.275040 | + | 0.476383i | ||||
\(613\) | −6.23056e10 | + | 1.07916e11i | −0.441250 | + | 0.764268i | −0.997783 | − | 0.0665583i | \(-0.978798\pi\) |
0.556532 | + | 0.830826i | \(0.312132\pi\) | |||||||
\(614\) | −7.89658e9 | − | 1.36773e10i | −0.0555604 | − | 0.0962334i | ||||
\(615\) | 1.55898e10 | 0.108978 | ||||||||
\(616\) | − | 1.06800e11i | − | 0.741734i | ||||||
\(617\) | 3.47495e10 | + | 6.01879e10i | 0.239777 | + | 0.415306i | 0.960650 | − | 0.277761i | \(-0.0895923\pi\) |
−0.720873 | + | 0.693067i | \(0.756259\pi\) | |||||||
\(618\) | −6.98705e9 | + | 4.03398e9i | −0.0479005 | + | 0.0276554i | ||||
\(619\) | −7.00313e10 | −0.477012 | −0.238506 | − | 0.971141i | \(-0.576658\pi\) | ||||
−0.238506 | + | 0.971141i | \(0.576658\pi\) | |||||||
\(620\) | − | 1.54494e10i | − | 0.104555i | ||||||
\(621\) | −8.20607e9 | + | 4.73777e9i | −0.0551783 | + | 0.0318572i | ||||
\(622\) | 9.05577e9 | + | 5.22835e9i | 0.0605012 | + | 0.0349304i | ||||
\(623\) | 1.17988e10 | − | 6.81204e9i | 0.0783224 | − | 0.0452194i | ||||
\(624\) | −1.61516e8 | + | 2.79753e8i | −0.00106531 | + | 0.00184517i | ||||
\(625\) | 1.10418e10 | − | 1.91249e10i | 0.0723633 | − | 0.125337i | ||||
\(626\) | 3.13921e10i | 0.204420i | ||||||||
\(627\) | −1.13487e10 | + | 2.16918e9i | −0.0734302 | + | 0.0140354i | ||||
\(628\) | −4.07582e10 | −0.262045 | ||||||||
\(629\) | 2.64175e11 | + | 1.52521e11i | 1.68767 | + | 0.974380i | ||||
\(630\) | 1.98958e11 | + | 1.14868e11i | 1.26299 | + | 0.729186i | ||||
\(631\) | −1.42814e11 | − | 2.47361e11i | −0.900851 | − | 1.56032i | −0.826392 | − | 0.563096i | \(-0.809610\pi\) |
−0.0744594 | − | 0.997224i | \(-0.523723\pi\) | |||||||
\(632\) | −1.62877e10 | + | 2.82111e10i | −0.102092 | + | 0.176828i | ||||
\(633\) | 4.28836e9 | + | 7.42765e9i | 0.0267101 | + | 0.0462633i | ||||
\(634\) | 7.47511e10 | 0.462659 | ||||||||
\(635\) | 3.91397e11i | 2.40725i | ||||||||
\(636\) | 1.36888e8 | + | 2.37096e8i | 0.000836634 | + | 0.00144909i | ||||
\(637\) | −1.77726e10 | + | 1.02610e10i | −0.107943 | + | 0.0623207i | ||||
\(638\) | −3.39125e10 | −0.204681 | ||||||||
\(639\) | − | 2.60401e11i | − | 1.56185i | ||||||
\(640\) | 2.05129e10 | − | 1.18432e10i | 0.122267 | − | 0.0705907i | ||||
\(641\) | −1.73777e11 | − | 1.00330e11i | −1.02935 | − | 0.594293i | −0.112549 | − | 0.993646i | \(-0.535901\pi\) |
−0.916797 | + | 0.399353i | \(0.869235\pi\) | |||||||
\(642\) | −3.65293e9 | + | 2.10902e9i | −0.0215031 | + | 0.0124148i | ||||
\(643\) | 1.20588e11 | − | 2.08865e11i | 0.705443 | − | 1.22186i | −0.261088 | − | 0.965315i | \(-0.584081\pi\) |
0.966531 | − | 0.256548i | \(-0.0825852\pi\) | |||||||
\(644\) | −3.84840e10 | + | 6.66562e10i | −0.223736 | + | 0.387523i | ||||
\(645\) | 1.34377e9i | 0.00776404i | ||||||||
\(646\) | 4.46024e10 | − | 1.28232e11i | 0.256111 | − | 0.736318i | ||||
\(647\) | 2.13897e11 | 1.22064 | 0.610319 | − | 0.792156i | \(-0.291041\pi\) | ||||
0.610319 | + | 0.792156i | \(0.291041\pi\) | |||||||
\(648\) | −5.36425e10 | − | 3.09705e10i | −0.304235 | − | 0.175650i | ||||
\(649\) | −2.10395e10 | − | 1.21472e10i | −0.118592 | − | 0.0684693i | ||||
\(650\) | 1.80958e10 | + | 3.13428e10i | 0.101373 | + | 0.175584i | ||||
\(651\) | 7.01471e8 | − | 1.21498e9i | 0.00390558 | − | 0.00676467i | ||||
\(652\) | 2.88627e10 | + | 4.99917e10i | 0.159716 | + | 0.276635i | ||||
\(653\) | 8.39467e10 | 0.461690 | 0.230845 | − | 0.972991i | \(-0.425851\pi\) | ||||
0.230845 | + | 0.972991i | \(0.425851\pi\) | |||||||
\(654\) | 4.93498e9i | 0.0269758i | ||||||||
\(655\) | −7.25339e10 | − | 1.25632e11i | −0.394072 | − | 0.682553i | ||||
\(656\) | −5.93258e10 | + | 3.42518e10i | −0.320353 | + | 0.184956i | ||||
\(657\) | 1.26623e11 | 0.679594 | ||||||||
\(658\) | 2.13277e11i | 1.13773i | ||||||||
\(659\) | −3.19401e10 | + | 1.84406e10i | −0.169354 | + | 0.0977764i | −0.582281 | − | 0.812988i | \(-0.697840\pi\) |
0.412927 | + | 0.910764i | \(0.364506\pi\) | |||||||
\(660\) | −9.81127e9 | − | 5.66454e9i | −0.0517070 | − | 0.0298531i | ||||
\(661\) | −2.32310e11 | + | 1.34124e11i | −1.21692 | + | 0.702589i | −0.964258 | − | 0.264966i | \(-0.914639\pi\) |
−0.252662 | + | 0.967555i | \(0.581306\pi\) | |||||||
\(662\) | −4.81912e10 | + | 8.34696e10i | −0.250920 | + | 0.434607i | ||||
\(663\) | −9.07758e8 | + | 1.57228e9i | −0.00469803 | + | 0.00813723i | ||||
\(664\) | − | 9.09690e10i | − | 0.467973i | ||||||
\(665\) | −7.58844e10 | − | 3.97011e11i | −0.388030 | − | 2.03009i | ||||
\(666\) | −2.45378e11 | −1.24721 | ||||||||
\(667\) | 2.11656e10 | + | 1.22199e10i | 0.106937 | + | 0.0617399i | ||||
\(668\) | −8.22298e10 | − | 4.74754e10i | −0.412975 | − | 0.238431i | ||||
\(669\) | 4.25556e9 | + | 7.37084e9i | 0.0212448 | + | 0.0367970i | ||||
\(670\) | 1.00278e11 | − | 1.73686e11i | 0.497629 | − | 0.861919i | ||||
\(671\) | −2.76234e11 | − | 4.78452e11i | −1.36266 | − | 2.36020i | ||||
\(672\) | 2.15093e9 | 0.0105475 | ||||||||
\(673\) | 6.44865e10i | 0.314347i | 0.987571 | + | 0.157173i | \(0.0502381\pi\) | ||||
−0.987571 | + | 0.157173i | \(0.949762\pi\) | |||||||
\(674\) | −2.37860e10 | − | 4.11986e10i | −0.115261 | − | 0.199638i | ||||
\(675\) | 2.56929e10 | − | 1.48338e10i | 0.123765 | − | 0.0714559i | ||||
\(676\) | −1.00847e11 | −0.482919 | ||||||||
\(677\) | 2.89434e11i | 1.37783i | 0.724843 | + | 0.688914i | \(0.241912\pi\) | ||||
−0.724843 | + | 0.688914i | \(0.758088\pi\) | |||||||
\(678\) | 6.96111e9 | − | 4.01900e9i | 0.0329427 | − | 0.0190195i | ||||
\(679\) | 4.62206e11 | + | 2.66855e11i | 2.17448 | + | 1.25544i | ||||
\(680\) | 1.15288e11 | − | 6.65615e10i | 0.539198 | − | 0.311306i | ||||
\(681\) | 5.38506e9 | − | 9.32720e9i | 0.0250382 | − | 0.0433674i | ||||
\(682\) | 1.62350e10 | − | 2.81199e10i | 0.0750438 | − | 0.129980i | ||||
\(683\) | 1.11559e11i | 0.512652i | 0.966590 | + | 0.256326i | \(0.0825121\pi\) | ||||
−0.966590 | + | 0.256326i | \(0.917488\pi\) | |||||||
\(684\) | 2.05035e10 | + | 1.07270e11i | 0.0936707 | + | 0.490065i | ||||
\(685\) | 4.30648e11 | 1.95596 | ||||||||
\(686\) | −5.71436e10 | − | 3.29919e10i | −0.258031 | − | 0.148974i | ||||
\(687\) | −7.89003e9 | − | 4.55531e9i | −0.0354203 | − | 0.0204499i | ||||
\(688\) | −2.95237e9 | − | 5.11365e9i | −0.0131770 | − | 0.0228232i | ||||
\(689\) | 1.51151e9 | − | 2.61801e9i | 0.00670709 | − | 0.0116170i | ||||
\(690\) | 4.08229e9 | + | 7.07073e9i | 0.0180097 | + | 0.0311938i | ||||
\(691\) | −9.45947e10 | −0.414911 | −0.207455 | − | 0.978244i | \(-0.566518\pi\) | ||||
−0.207455 | + | 0.978244i | \(0.566518\pi\) | |||||||
\(692\) | 1.82504e10i | 0.0795881i | ||||||||
\(693\) | 2.41419e11 | + | 4.18150e11i | 1.04674 | + | 1.81301i | ||||
\(694\) | 3.77054e10 | − | 2.17692e10i | 0.162542 | − | 0.0938436i | ||||
\(695\) | 5.21462e11 | 2.23503 | ||||||||
\(696\) | − | 6.82991e8i | − | 0.00291057i | ||||||
\(697\) | −3.33426e11 | + | 1.92504e11i | −1.41276 | + | 0.815657i | ||||
\(698\) | 1.93871e11 | + | 1.11931e11i | 0.816753 | + | 0.471552i | ||||
\(699\) | 4.24267e9 | − | 2.44950e9i | 0.0177718 | − | 0.0102605i | ||||
\(700\) | 1.20492e11 | − | 2.08698e11i | 0.501841 | − | 0.869215i | ||||
\(701\) | −4.49475e10 | + | 7.78514e10i | −0.186138 | + | 0.322400i | −0.943959 | − | 0.330062i | \(-0.892930\pi\) |
0.757822 | + | 0.652462i | \(0.226264\pi\) | |||||||
\(702\) | − | 2.92393e9i | − | 0.0120398i | ||||||
\(703\) | 2.82212e11 | + | 3.26705e11i | 1.15546 | + | 1.33762i | ||||
\(704\) | 4.97816e10 | 0.202665 | ||||||||
\(705\) | 1.95929e10 | + | 1.13119e10i | 0.0793125 | + | 0.0457911i | ||||
\(706\) | −1.79946e11 | − | 1.03892e11i | −0.724308 | − | 0.418180i | ||||
\(707\) | −8.00301e10 | − | 1.38616e11i | −0.320314 | − | 0.554800i | ||||
\(708\) | 2.44641e8 | − | 4.23731e8i | 0.000973636 | − | 0.00168639i | ||||
\(709\) | 8.70450e10 | + | 1.50766e11i | 0.344476 | + | 0.596650i | 0.985258 | − | 0.171072i | \(-0.0547232\pi\) |
−0.640782 | + | 0.767723i | \(0.721390\pi\) | |||||||
\(710\) | −4.49225e11 | −1.76779 | ||||||||
\(711\) | − | 1.47272e11i | − | 0.576290i | ||||||
\(712\) | 3.17523e9 | + | 5.49966e9i | 0.0123554 | + | 0.0214001i | ||||
\(713\) | −2.02653e10 | + | 1.17001e10i | −0.0784140 | + | 0.0452724i | ||||
\(714\) | 1.20888e10 | 0.0465146 | ||||||||
\(715\) | 1.25095e11i | 0.478649i | ||||||||
\(716\) | 8.54284e10 | − | 4.93221e10i | 0.325050 | − | 0.187668i | ||||
\(717\) | 1.82212e10 | + | 1.05200e10i | 0.0689447 | + | 0.0398053i | ||||
\(718\) | −2.44142e11 | + | 1.40956e11i | −0.918640 | + | 0.530377i | ||||
\(719\) | 1.27808e11 | − | 2.21369e11i | 0.478235 | − | 0.828328i | −0.521453 | − | 0.853280i | \(-0.674610\pi\) |
0.999689 | + | 0.0249521i | \(0.00794331\pi\) | |||||||
\(720\) | −5.35424e10 | + | 9.27382e10i | −0.199236 | + | 0.345087i | ||||
\(721\) | − | 5.93188e11i | − | 2.19508i | ||||||
\(722\) | 1.19242e11 | − | 1.50672e11i | 0.438812 | − | 0.554476i | ||||
\(723\) | −1.23761e10 | −0.0452928 | ||||||||
\(724\) | −9.67452e10 | − | 5.58558e10i | −0.352107 | − | 0.203289i | ||||
\(725\) | −6.62687e10 | − | 3.82603e10i | −0.239859 | − | 0.138483i | ||||
\(726\) | −7.37620e9 | − | 1.27760e10i | −0.0265513 | − | 0.0459883i | ||||
\(727\) | −1.14746e11 | + | 1.98746e11i | −0.410771 | + | 0.711476i | −0.994974 | − | 0.100131i | \(-0.968074\pi\) |
0.584203 | + | 0.811607i | \(0.301407\pi\) | |||||||
\(728\) | −1.18753e10 | − | 2.05685e10i | −0.0422783 | − | 0.0732281i | ||||
\(729\) | 2.78833e11 | 0.987266 | ||||||||
\(730\) | − | 2.18440e11i | − | 0.769204i | ||||||
\(731\) | −1.65930e10 | − | 2.87400e10i | −0.0581107 | − | 0.100651i | ||||
\(732\) | 9.63592e9 | − | 5.56330e9i | 0.0335621 | − | 0.0193771i | ||||
\(733\) | −1.15101e11 | −0.398716 | −0.199358 | − | 0.979927i | \(-0.563886\pi\) | ||||
−0.199358 | + | 0.979927i | \(0.563886\pi\) | |||||||
\(734\) | − | 1.45028e11i | − | 0.499652i | ||||||
\(735\) | 1.25533e10 | − | 7.24763e9i | 0.0430137 | − | 0.0248340i | ||||
\(736\) | −3.10698e10 | − | 1.79381e10i | −0.105883 | − | 0.0611317i | ||||
\(737\) | 3.65037e11 | − | 2.10754e11i | 1.23728 | − | 0.714342i | ||||
\(738\) | 1.54851e11 | − | 2.68210e11i | 0.522022 | − | 0.904168i | ||||
\(739\) | −6.24887e10 | + | 1.08234e11i | −0.209519 | + | 0.362898i | −0.951563 | − | 0.307453i | \(-0.900523\pi\) |
0.742044 | + | 0.670351i | \(0.233857\pi\) | |||||||
\(740\) | 4.23309e11i | 1.41166i | ||||||||
\(741\) | −1.94444e9 | + | 1.67964e9i | −0.00644944 | + | 0.00557112i | ||||
\(742\) | −2.01290e10 | −0.0664060 | ||||||||
\(743\) | −3.75023e11 | − | 2.16520e11i | −1.23056 | − | 0.710465i | −0.263414 | − | 0.964683i | \(-0.584849\pi\) |
−0.967147 | + | 0.254218i | \(0.918182\pi\) | |||||||
\(744\) | 5.66328e8 | + | 3.26970e8i | 0.00184832 | + | 0.00106713i | ||||
\(745\) | −1.37270e11 | − | 2.37759e11i | −0.445607 | − | 0.771813i | ||||
\(746\) | −1.83596e11 | + | 3.17998e11i | −0.592801 | + | 1.02676i | ||||
\(747\) | 2.05634e11 | + | 3.56168e11i | 0.660407 | + | 1.14386i | ||||
\(748\) | 2.79785e11 | 0.893754 | ||||||||
\(749\) | − | 3.10127e11i | − | 0.985400i | ||||||
\(750\) | −4.54239e9 | − | 7.86766e9i | −0.0143562 | − | 0.0248657i | ||||
\(751\) | −1.98846e11 | + | 1.14804e11i | −0.625112 | + | 0.360909i | −0.778857 | − | 0.627202i | \(-0.784200\pi\) |
0.153745 | + | 0.988111i | \(0.450867\pi\) | |||||||
\(752\) | −9.94125e10 | −0.310864 | ||||||||
\(753\) | 3.24309e9i | 0.0100874i | ||||||||
\(754\) | −6.53120e9 | + | 3.77079e9i | −0.0202073 | + | 0.0116667i | ||||
\(755\) | −1.63242e11 | − | 9.42478e10i | −0.502394 | − | 0.290057i | ||||
\(756\) | −1.68609e10 | + | 9.73462e9i | −0.0516170 | + | 0.0298011i | ||||
\(757\) | 1.03167e11 | − | 1.78691e11i | 0.314166 | − | 0.544151i | −0.665094 | − | 0.746760i | \(-0.731609\pi\) |
0.979260 | + | 0.202609i | \(0.0649419\pi\) | |||||||
\(758\) | −1.57587e11 | + | 2.72948e11i | −0.477357 | + | 0.826806i | ||||
\(759\) | 1.71595e10i | 0.0517056i | ||||||||
\(760\) | 1.85055e11 | − | 3.53712e10i | 0.554684 | − | 0.106022i | ||||
\(761\) | 5.68151e11 | 1.69405 | 0.847023 | − | 0.531556i | \(-0.178392\pi\) | ||||
0.847023 | + | 0.531556i | \(0.178392\pi\) | |||||||
\(762\) | −1.43474e10 | − | 8.28349e9i | −0.0425553 | − | 0.0245693i | ||||
\(763\) | −3.14228e11 | − | 1.81420e11i | −0.927143 | − | 0.535286i | ||||
\(764\) | 9.85291e10 | + | 1.70657e11i | 0.289195 | + | 0.500901i | ||||
\(765\) | −3.00922e11 | + | 5.21212e11i | −0.878634 | + | 1.52184i | ||||
\(766\) | 2.17169e11 | + | 3.76149e11i | 0.630788 | + | 1.09256i | ||||
\(767\) | −5.40265e9 | −0.0156108 | ||||||||
\(768\) | 1.00259e9i | 0.00288190i | ||||||||
\(769\) | 4.83569e10 | + | 8.37566e10i | 0.138278 | + | 0.239504i | 0.926845 | − | 0.375445i | \(-0.122510\pi\) |
−0.788567 | + | 0.614949i | \(0.789177\pi\) | |||||||
\(770\) | 7.21363e11 | − | 4.16479e11i | 2.05206 | − | 1.18476i | ||||
\(771\) | 2.38837e10 | 0.0675902 | ||||||||
\(772\) | − | 1.84508e11i | − | 0.519453i | ||||||
\(773\) | 2.09346e11 | − | 1.20866e11i | 0.586336 | − | 0.338521i | −0.177311 | − | 0.984155i | \(-0.556740\pi\) |
0.763647 | + | 0.645634i | \(0.223407\pi\) | |||||||
\(774\) | 2.31186e10 | + | 1.33475e10i | 0.0644166 | + | 0.0371909i | ||||
\(775\) | 6.34499e10 | − | 3.66328e10i | 0.175883 | − | 0.101546i | ||||
\(776\) | −1.24386e11 | + | 2.15443e11i | −0.343025 | + | 0.594136i | ||||
\(777\) | −1.92201e10 | + | 3.32902e10i | −0.0527317 | + | 0.0913340i | ||||
\(778\) | − | 9.36894e10i | − | 0.255724i | ||||||
\(779\) | −5.35200e11 | + | 1.02298e11i | −1.45334 | + | 0.277790i | ||||
\(780\) | −2.51940e9 | −0.00680641 | ||||||||
\(781\) | −8.17647e11 | − | 4.72069e11i | −2.19767 | − | 1.26882i | ||||
\(782\) | −1.74620e11 | − | 1.00817e11i | −0.466946 | − | 0.269592i | ||||
\(783\) | 3.09107e9 | + | 5.35388e9i | 0.00822359 | + | 0.0142437i | ||||
\(784\) | −3.18471e10 | + | 5.51608e10i | −0.0842957 | + | 0.146004i | ||||
\(785\) | −1.58941e11 | − | 2.75295e11i | −0.418561 | − | 0.724969i | ||||
\(786\) | 6.14041e9 | 0.0160882 | ||||||||
\(787\) | 4.75835e11i | 1.24039i | 0.784449 | + | 0.620194i | \(0.212946\pi\) | ||||
−0.784449 | + | 0.620194i | \(0.787054\pi\) | |||||||
\(788\) | 5.64796e10 | + | 9.78256e10i | 0.146483 | + | 0.253716i | ||||
\(789\) | −1.42061e9 | + | 8.20190e8i | −0.00366578 | + | 0.00211644i | ||||
\(790\) | −2.54063e11 | −0.652278 | ||||||||
\(791\) | 5.90985e11i | 1.50963i | ||||||||
\(792\) | −1.94908e11 | + | 1.12530e11i | −0.495369 | + | 0.286002i | ||||
\(793\) | −1.06400e11 | − | 6.14298e10i | −0.269059 | − | 0.155341i | ||||
\(794\) | 2.07785e10 | − | 1.19965e10i | 0.0522797 | − | 0.0301837i | ||||
\(795\) | −1.06762e9 | + | 1.84917e9i | −0.00267269 | + | 0.00462923i | ||||
\(796\) | −1.19966e10 | + | 2.07787e10i | −0.0298817 | + | 0.0517566i | ||||
\(797\) | 5.95273e11i | 1.47531i | 0.675178 | + | 0.737655i | \(0.264067\pi\) | ||||
−0.675178 | + | 0.737655i | \(0.735933\pi\) | |||||||
\(798\) | 1.61592e10 | + | 5.62062e9i | 0.0398483 | + | 0.0138603i | ||||
\(799\) | −5.58723e11 | −1.37091 | ||||||||
\(800\) | 9.72785e10 | + | 5.61638e10i | 0.237496 | + | 0.137119i | ||||
\(801\) | −2.48637e10 | − | 1.43551e10i | −0.0603999 | − | 0.0348719i | ||||
\(802\) | −2.29790e11 | − | 3.98009e11i | −0.555437 | − | 0.962044i | ||||
\(803\) | 2.29548e11 | − | 3.97589e11i | 0.552093 | − | 0.956253i | ||||
\(804\) | 4.24455e9 | + | 7.35177e9i | 0.0101580 | + | 0.0175941i | ||||
\(805\) | −6.00292e11 | −1.42948 | ||||||||
\(806\) | − | 7.22078e9i | − | 0.0171098i | ||||||
\(807\) | −1.67024e10 | − | 2.89294e10i | −0.0393808 | − | 0.0682096i | ||||
\(808\) | 6.46117e10 | − | 3.73036e10i | 0.151588 | − | 0.0875196i | ||||
\(809\) | 2.26372e11 | 0.528481 | 0.264241 | − | 0.964457i | \(-0.414879\pi\) | ||||
0.264241 | + | 0.964457i | \(0.414879\pi\) | |||||||
\(810\) | − | 4.83093e11i | − | 1.12225i | ||||||
\(811\) | 5.15581e11 | − | 2.97671e11i | 1.19183 | − | 0.688103i | 0.233108 | − | 0.972451i | \(-0.425111\pi\) |
0.958721 | + | 0.284348i | \(0.0917772\pi\) | |||||||
\(812\) | 4.34885e10 | + | 2.51081e10i | 0.100035 | + | 0.0577550i | ||||
\(813\) | −2.29972e9 | + | 1.32774e9i | −0.00526396 | + | 0.00303915i | ||||
\(814\) | −4.44835e11 | + | 7.70476e11i | −1.01321 | + | 1.75494i | ||||
\(815\) | −2.25108e11 | + | 3.89898e11i | −0.510223 | + | 0.883732i | ||||
\(816\) | 5.63481e9i | 0.0127092i | ||||||||
\(817\) | −8.81765e9 | − | 4.61321e10i | −0.0197909 | − | 0.103542i | ||||
\(818\) | −5.00710e10 | −0.111834 | ||||||||
\(819\) | 9.29896e10 | + | 5.36875e10i | 0.206680 | + | 0.119327i | ||||
\(820\) | −4.62697e11 | − | 2.67138e11i | −1.02339 | − | 0.590854i | ||||
\(821\) | 3.01742e11 | + | 5.22632e11i | 0.664145 | + | 1.15033i | 0.979516 | + | 0.201364i | \(0.0645375\pi\) |
−0.315372 | + | 0.948968i | \(0.602129\pi\) | |||||||
\(822\) | −9.11420e9 | + | 1.57863e10i | −0.0199633 | + | 0.0345774i | ||||
\(823\) | −2.49730e11 | − | 4.32545e11i | −0.544341 | − | 0.942826i | −0.998648 | − | 0.0519811i | \(-0.983446\pi\) |
0.454307 | − | 0.890845i | \(-0.349887\pi\) | |||||||
\(824\) | 2.76497e11 | 0.599765 | ||||||||
\(825\) | − | 5.37259e10i | − | 0.115976i | ||||||
\(826\) | 1.79870e10 | + | 3.11544e10i | 0.0386401 | + | 0.0669266i | ||||
\(827\) | −3.98102e11 | + | 2.29844e11i | −0.851084 | + | 0.491373i | −0.861016 | − | 0.508577i | \(-0.830172\pi\) |
0.00993278 | + | 0.999951i | \(0.496838\pi\) | |||||||
\(828\) | 1.62195e11 | 0.345078 | ||||||||
\(829\) | − | 2.77861e11i | − | 0.588314i | −0.955757 | − | 0.294157i | \(-0.904961\pi\) | ||
0.955757 | − | 0.294157i | \(-0.0950388\pi\) | |||||||
\(830\) | 6.14436e11 | − | 3.54745e11i | 1.29469 | − | 0.747487i | ||||
\(831\) | −3.12129e10 | − | 1.80208e10i | −0.0654531 | − | 0.0377894i | ||||
\(832\) | 9.58741e9 | − | 5.53529e9i | 0.0200082 | − | 0.0115517i | ||||
\(833\) | −1.78989e11 | + | 3.10017e11i | −0.371745 | + | 0.643882i | ||||
\(834\) | −1.10362e10 | + | 1.91152e10i | −0.0228116 | + | 0.0395108i | ||||
\(835\) | − | 7.40545e11i | − | 1.52337i | ||||||
\(836\) | 3.73993e11 | + | 1.30085e11i | 0.765664 | + | 0.266318i | ||||
\(837\) | −5.91917e9 | −0.0120603 | ||||||||
\(838\) | 9.34919e10 | + | 5.39776e10i | 0.189582 | + | 0.109455i | ||||
\(839\) | −2.19669e11 | − | 1.26826e11i | −0.443323 | − | 0.255953i | 0.261683 | − | 0.965154i | \(-0.415723\pi\) |
−0.705006 | + | 0.709201i | \(0.749056\pi\) | |||||||
\(840\) | 8.38781e9 | + | 1.45281e10i | 0.0168473 | + | 0.0291804i | ||||
\(841\) | −2.42151e11 | + | 4.19417e11i | −0.484063 | + | 0.838421i | ||||
\(842\) | 1.65128e11 | + | 2.86010e11i | 0.328528 | + | 0.569027i | ||||
\(843\) | −3.10028e10 | −0.0613890 | ||||||||
\(844\) | − | 2.93932e11i | − | 0.579265i | ||||||
\(845\) | −3.93264e11 | − | 6.81153e11i | −0.771360 | − | 1.33603i | ||||
\(846\) | 3.89227e11 | − | 2.24720e11i | 0.759838 | − | 0.438693i | ||||
\(847\) | 1.08465e12 | 2.10745 | ||||||||
\(848\) | − | 9.38254e9i | − | 0.0181442i | ||||||
\(849\) | −1.35649e10 | + | 7.83168e9i | −0.0261087 | + | 0.0150738i | ||||
\(850\) | 5.46730e11 | + | 3.15655e11i | 1.04736 | + | 0.604695i | ||||
\(851\) | 5.55262e11 | − | 3.20581e11i | 1.05872 | − | 0.611251i | ||||
\(852\) | 9.50737e9 | − | 1.64673e10i | 0.0180427 | − | 0.0312509i | ||||
\(853\) | 5.68643e10 | − | 9.84918e10i | 0.107410 | − | 0.186039i | −0.807310 | − | 0.590127i | \(-0.799078\pi\) |
0.914720 | + | 0.404088i | \(0.132411\pi\) | |||||||
\(854\) | 8.18071e11i | 1.53801i | ||||||||
\(855\) | −6.44582e11 | + | 5.56800e11i | −1.20619 | + | 1.04192i | ||||
\(856\) | 1.44556e11 | 0.269242 | ||||||||
\(857\) | 1.24369e11 | + | 7.18047e10i | 0.230563 | + | 0.133116i | 0.610832 | − | 0.791760i | \(-0.290835\pi\) |
−0.380269 | + | 0.924876i | \(0.624168\pi\) | |||||||
\(858\) | −4.58563e9 | − | 2.64751e9i | −0.00846154 | − | 0.00488527i | ||||
\(859\) | 3.59778e11 | + | 6.23154e11i | 0.660788 | + | 1.14452i | 0.980409 | + | 0.196973i | \(0.0631110\pi\) |
−0.319621 | + | 0.947545i | \(0.603556\pi\) | |||||||
\(860\) | 2.30262e10 | − | 3.98826e10i | 0.0420948 | − | 0.0729104i | ||||
\(861\) | −2.42585e10 | − | 4.20170e10i | −0.0441420 | − | 0.0764561i | ||||
\(862\) | 1.42039e11 | 0.257264 | ||||||||
\(863\) | 4.42963e11i | 0.798591i | 0.916822 | + | 0.399296i | \(0.130745\pi\) | ||||
−0.916822 | + | 0.399296i | \(0.869255\pi\) | |||||||
\(864\) | −4.53750e9 | − | 7.85918e9i | −0.00814258 | − | 0.0141034i | ||||
\(865\) | −1.23269e11 | + | 7.11696e10i | −0.220187 | + | 0.127125i | ||||
\(866\) | −6.28412e11 | −1.11731 | ||||||||
\(867\) | 5.61501e9i | 0.00993744i | ||||||||
\(868\) | −4.16387e10 | + | 2.40401e10i | −0.0733530 | + | 0.0423504i | ||||
\(869\) | −4.62427e11 | − | 2.66982e11i | −0.810894 | − | 0.468170i | ||||
\(870\) | 4.61316e9 | − | 2.66341e9i | 0.00805233 | − | 0.00464901i | ||||
\(871\) | 4.68682e10 | − | 8.11781e10i | 0.0814339 | − | 0.141048i | ||||
\(872\) | 8.45633e10 | − | 1.46468e11i | 0.146257 | − | 0.253324i | ||||
\(873\) | − | 1.12469e12i | − | 1.93632i | ||||||
\(874\) | −1.86543e11 | − | 2.15952e11i | −0.319693 | − | 0.370094i | ||||
\(875\) | 6.67949e11 | 1.13949 | ||||||||
\(876\) | 8.00737e9 | + | 4.62306e9i | 0.0135980 | + | 0.00785078i | ||||
\(877\) | 5.27290e11 | + | 3.04431e11i | 0.891357 | + | 0.514625i | 0.874386 | − | 0.485231i | \(-0.161265\pi\) |
0.0169706 | + | 0.999856i | \(0.494598\pi\) | |||||||
\(878\) | 1.94195e11 | + | 3.36356e11i | 0.326784 | + | 0.566006i | ||||
\(879\) | −8.68758e9 | + | 1.50473e10i | −0.0145527 | + | 0.0252060i | ||||
\(880\) | 1.94129e11 | + | 3.36242e11i | 0.323713 | + | 0.560688i | ||||
\(881\) | −1.35356e11 | −0.224685 | −0.112343 | − | 0.993670i | \(-0.535835\pi\) | ||||
−0.112343 | + | 0.993670i | \(0.535835\pi\) | |||||||
\(882\) | − | 2.87959e11i | − | 0.475835i | ||||||
\(883\) | 4.75919e10 | + | 8.24316e10i | 0.0782872 | + | 0.135597i | 0.902511 | − | 0.430667i | \(-0.141722\pi\) |
−0.824224 | + | 0.566264i | \(0.808388\pi\) | |||||||
\(884\) | 5.38836e10 | − | 3.11097e10i | 0.0882364 | − | 0.0509433i | ||||
\(885\) | 3.81603e9 | 0.00622070 | ||||||||
\(886\) | − | 1.99448e11i | − | 0.323664i | ||||||
\(887\) | 3.73571e11 | − | 2.15682e11i | 0.603503 | − | 0.348432i | −0.166916 | − | 0.985971i | \(-0.553381\pi\) |
0.770418 | + | 0.637539i | \(0.220047\pi\) | |||||||
\(888\) | −1.55172e10 | − | 8.95888e9i | −0.0249553 | − | 0.0144079i | ||||
\(889\) | 1.05488e12 | − | 6.09034e11i | 1.68887 | − | 0.975068i | ||||
\(890\) | −2.47644e10 | + | 4.28932e10i | −0.0394700 | + | 0.0683641i | ||||
\(891\) | 5.07658e11 | − | 8.79290e11i | 0.805491 | − | 1.39515i | ||||
\(892\) | − | 2.91684e11i | − | 0.460737i | ||||||
\(893\) | −7.46855e11 | − | 2.59776e11i | −1.17444 | − | 0.408501i | ||||
\(894\) | 1.16207e10 | 0.0181921 | ||||||||
\(895\) | 6.66277e11 | + | 3.84675e11i | 1.03839 | + | 0.599517i | ||||
\(896\) | −6.38385e10 | − | 3.68572e10i | −0.0990492 | − | 0.0571861i | ||||
\(897\) | 1.90799e9 | + | 3.30474e9i | 0.00294718 | + | 0.00510467i | ||||
\(898\) | −1.68784e11 | + | 2.92343e11i | −0.259553 | + | 0.449560i | ||||
\(899\) | 7.63353e9 | + | 1.32217e10i | 0.0116866 | + | 0.0202417i | ||||
\(900\) | −5.07828e11 | −0.774011 | ||||||||
\(901\) | − | 5.27322e10i | − | 0.0800160i | ||||||
\(902\) | −5.61444e11 | − | 9.72450e11i | −0.848166 | − | 1.46907i | ||||
\(903\) | 3.62170e9 | − | 2.09099e9i | 0.00544704 | − | 0.00314485i | ||||
\(904\) | −2.75470e11 | −0.412478 | ||||||||
\(905\) | − | 8.71267e11i | − | 1.29884i | ||||||
\(906\) | 6.90969e9 | − | 3.98931e9i | 0.0102552 | − | 0.00592086i | ||||
\(907\) | 9.77131e11 | + | 5.64147e11i | 1.44386 | + | 0.833611i | 0.998104 | − | 0.0615461i | \(-0.0196031\pi\) |
0.445752 | + | 0.895157i | \(0.352936\pi\) | |||||||
\(908\) | −3.19652e11 | + | 1.84551e11i | −0.470256 | + | 0.271502i | ||||
\(909\) | −1.68648e11 | + | 2.92107e11i | −0.247016 | + | 0.427845i | ||||
\(910\) | 9.26180e10 | − | 1.60419e11i | 0.135061 | − | 0.233932i | ||||
\(911\) | − | 2.34666e11i | − | 0.340704i | −0.985383 | − | 0.170352i | \(-0.945510\pi\) | ||
0.985383 | − | 0.170352i | \(-0.0544905\pi\) | |||||||
\(912\) | −2.61988e9 | + | 7.53214e9i | −0.00378706 | + | 0.0108878i | ||||
\(913\) | 1.49114e12 | 2.14602 | ||||||||
\(914\) | 4.93791e11 | + | 2.85090e11i | 0.707551 | + | 0.408505i | ||||
\(915\) | 7.51529e10 | + | 4.33895e10i | 0.107216 | + | 0.0619014i | ||||
\(916\) | 1.56115e11 | + | 2.70399e11i | 0.221749 | + | 0.384081i | ||||
\(917\) | −2.25733e11 | + | 3.90982e11i | −0.319241 | + | 0.552941i | ||||
\(918\) | −2.55019e10 | − | 4.41706e10i | −0.0359089 | − | 0.0621960i | ||||
\(919\) | −8.34047e11 | −1.16931 | −0.584653 | − | 0.811283i | \(-0.698769\pi\) | ||||
−0.584653 | + | 0.811283i | \(0.698769\pi\) | |||||||
\(920\) | − | 2.79808e11i | − | 0.390579i | ||||||
\(921\) | 2.60686e9 | + | 4.51521e9i | 0.00362309 | + | 0.00627538i | ||||
\(922\) | 3.08680e11 | − | 1.78216e11i | 0.427154 | − | 0.246617i | ||||
\(923\) | −2.09960e11 | −0.289288 | ||||||||
\(924\) | 3.52573e10i | 0.0483684i | ||||||||
\(925\) | −1.73851e12 | + | 1.00373e12i | −2.37471 | + | 1.37104i | ||||
\(926\) | 3.54712e10 | + | 2.04793e10i | 0.0482428 | + | 0.0278530i | ||||
\(927\) | −1.08256e12 | + | 6.25015e11i | −1.46599 | + | 0.846392i | ||||
\(928\) | −1.17034e10 | + | 2.02709e10i | −0.0157805 | + | 0.0273326i | ||||
\(929\) | 6.60724e11 | − | 1.14441e12i | 0.887068 | − | 1.53645i | 0.0437441 | − | 0.999043i | \(-0.486071\pi\) |
0.843324 | − | 0.537405i | \(-0.180595\pi\) | |||||||
\(930\) | 5.10023e9i | 0.00681802i | ||||||||
\(931\) | −3.83398e11 | + | 3.31185e11i | −0.510330 | + | 0.440831i | ||||
\(932\) | −1.67894e11 | −0.222521 | ||||||||
\(933\) | −2.98954e9 | − | 1.72601e9i | −0.00394528 | − | 0.00227781i | ||||
\(934\) | 1.78567e10 | + | 1.03095e10i | 0.0234646 | + | 0.0135473i | ||||
\(935\) | 1.09106e12 | + | 1.88976e12i | 1.42758 | + | 2.47264i | ||||
\(936\) | −2.50248e10 | + | 4.33443e10i | −0.0326038 | + | 0.0564714i | ||||
\(937\) | 3.14602e11 | + | 5.44906e11i | 0.408134 | + | 0.706909i | 0.994681 | − | 0.103007i | \(-0.0328463\pi\) |
−0.586547 | + | 0.809915i | \(0.699513\pi\) | |||||||
\(938\) | −6.24151e11 | −0.806266 | ||||||||
\(939\) | − | 1.03633e10i | − | 0.0133302i | ||||||
\(940\) | −3.87671e11 | − | 6.71466e11i | −0.496538 | − | 0.860029i | ||||
\(941\) | −1.97671e11 | + | 1.14125e11i | −0.252107 | + | 0.145554i | −0.620729 | − | 0.784025i | \(-0.713163\pi\) |
0.368622 | + | 0.929580i | \(0.379830\pi\) | |||||||
\(942\) | 1.34553e10 | 0.0170879 | ||||||||
\(943\) | 8.09237e11i | 1.02336i | ||||||||
\(944\) | −1.45217e10 | + | 8.38409e9i | −0.0182864 | + | 0.0105577i | ||||
\(945\) | −1.31502e11 | − | 7.59227e10i | −0.164894 | − | 0.0952016i | ||||
\(946\) | 8.38213e10 | − | 4.83943e10i | 0.104662 | − | 0.0604268i | ||||
\(947\) | 5.70703e10 | − | 9.88486e10i | 0.0709594 | − | 0.122905i | −0.828363 | − | 0.560192i | \(-0.810727\pi\) |
0.899322 | + | 0.437287i | \(0.144061\pi\) | |||||||
\(948\) | 5.37697e9 | − | 9.31318e9i | 0.00665739 | − | 0.0115309i | ||||
\(949\) | − | 1.02095e11i | − | 0.125876i | ||||||
\(950\) | 5.84060e11 | + | 6.76140e11i | 0.717073 | + | 0.830123i | ||||
\(951\) | −2.46772e10 | −0.0301699 | ||||||||
\(952\) | −3.58789e11 | − | 2.07147e11i | −0.436808 | − | 0.252191i | ||||
\(953\) | −8.63460e11 | − | 4.98519e11i | −1.04682 | − | 0.604380i | −0.125060 | − | 0.992149i | \(-0.539912\pi\) |
−0.921757 | + | 0.387769i | \(0.873246\pi\) | |||||||
\(954\) | 2.12090e10 | + | 3.67351e10i | 0.0256052 | + | 0.0443495i | ||||
\(955\) | −7.68453e11 | + | 1.33100e12i | −0.923855 | + | 1.60016i | ||||
\(956\) | −3.60532e11 | − | 6.24459e11i | −0.431630 | − | 0.747605i | ||||
\(957\) | 1.11954e10 | 0.0133472 | ||||||||
\(958\) | − | 1.89444e11i | − | 0.224915i | ||||||
\(959\) | −6.70112e11 | − | 1.16067e12i | −0.792269 | − | 1.37225i | ||||
\(960\) | −6.77184e9 | + | 3.90972e9i | −0.00797300 | + | 0.00460321i | ||||
\(961\) | 8.38273e11 | 0.982861 | ||||||||
\(962\) | 1.97848e11i | 0.231010i | ||||||||
\(963\) | −5.65977e11 | + | 3.26767e11i | −0.658103 | + | 0.379956i | ||||
\(964\) | 3.67316e11 | + | 2.12070e11i | 0.425335 | + | 0.245567i | ||||
\(965\) | 1.24623e12 | − | 7.19511e11i | 1.43711 | − | 0.829714i | ||||
\(966\) | 1.27045e10 | − | 2.20049e10i | 0.0145898 | − | 0.0252703i | ||||
\(967\) | 6.89218e11 | − | 1.19376e12i | 0.788226 | − | 1.36525i | −0.138827 | − | 0.990317i | \(-0.544333\pi\) |
0.927053 | − | 0.374931i | \(-0.122334\pi\) | |||||||
\(968\) | 5.05579e11i | 0.575821i | ||||||||
\(969\) | −1.47244e10 | + | 4.23325e10i | −0.0167010 | + | 0.0480152i | ||||
\(970\) | −1.94024e12 | −2.19163 | ||||||||
\(971\) | −2.77686e11 | − | 1.60322e11i | −0.312375 | − | 0.180350i | 0.335614 | − | 0.942000i | \(-0.391056\pi\) |
−0.647989 | + | 0.761650i | \(0.724390\pi\) | |||||||
\(972\) | 5.33155e10 | + | 3.07817e10i | 0.0597294 | + | 0.0344848i | ||||
\(973\) | −8.11424e11 | − | 1.40543e12i | −0.905308 | − | 1.56804i | ||||
\(974\) | −2.88424e11 | + | 4.99565e11i | −0.320476 | + | 0.555080i | ||||
\(975\) | −5.97387e9 | − | 1.03470e10i | −0.00661054 | − | 0.0114498i | ||||
\(976\) | −3.81319e11 | −0.420232 | ||||||||
\(977\) | 1.45014e12i | 1.59160i | 0.605562 | + | 0.795798i | \(0.292949\pi\) | ||||
−0.605562 | + | 0.795798i | \(0.707051\pi\) | |||||||
\(978\) | −9.52832e9 | − | 1.65035e10i | −0.0104150 | − | 0.0180394i | ||||
\(979\) | −9.01487e10 | + | 5.20474e10i | −0.0981361 | + | 0.0566589i | ||||
\(980\) | −4.96766e11 | −0.538577 | ||||||||
\(981\) | 7.64615e11i | 0.825594i | ||||||||
\(982\) | 3.49862e11 | − | 2.01993e11i | 0.376228 | − | 0.217215i | ||||
\(983\) | −4.25313e11 | − | 2.45555e11i | −0.455507 | − | 0.262987i | 0.254646 | − | 0.967034i | \(-0.418041\pi\) |
−0.710153 | + | 0.704047i | \(0.751374\pi\) | |||||||
\(984\) | 1.95850e10 | − | 1.13074e10i | 0.0208902 | − | 0.0120610i | ||||
\(985\) | −4.40499e11 | + | 7.62966e11i | −0.467950 | + | 0.810513i | ||||
\(986\) | −6.57760e10 | + | 1.13927e11i | −0.0695920 | + | 0.120537i | ||||
\(987\) | − | 7.04080e10i | − | 0.0741914i | ||||||
\(988\) | 8.64914e10 | − | 1.65319e10i | 0.0907706 | − | 0.0173498i | ||||
\(989\) | −6.97530e10 | −0.0729084 | ||||||||
\(990\) | −1.52014e12 | − | 8.77651e11i | −1.58249 | − | 0.913652i | ||||
\(991\) | −1.51679e11 | − | 8.75719e10i | −0.157265 | − | 0.0907967i | 0.419302 | − | 0.907847i | \(-0.362275\pi\) |
−0.576567 | + | 0.817050i | \(0.695608\pi\) | |||||||
\(992\) | −1.12056e10 | − | 1.94086e10i | −0.0115714 | − | 0.0200423i | ||||
\(993\) | 1.59091e10 | − | 2.75554e10i | 0.0163625 | − | 0.0283407i | ||||
\(994\) | 6.99019e11 | + | 1.21074e12i | 0.716050 | + | 1.24024i | ||||
\(995\) | −1.87129e11 | −0.190918 | ||||||||
\(996\) | 3.00312e10i | 0.0305165i | ||||||||
\(997\) | −5.76199e11 | − | 9.98006e11i | −0.583166 | − | 1.01007i | −0.995101 | − | 0.0988597i | \(-0.968481\pi\) |
0.411936 | − | 0.911213i | \(-0.364853\pi\) | |||||||
\(998\) | 4.92678e11 | − | 2.84448e11i | 0.496639 | − | 0.286735i | ||||
\(999\) | 1.62184e11 | 0.162834 |
(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 | 38.9.d.a.27.9 | ✓ | 24 | |
19.12 | odd | 6 | inner | 38.9.d.a.31.9 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.9.d.a.27.9 | ✓ | 24 | 1.1 | even | 1 | trivial | |
38.9.d.a.31.9 | yes | 24 | 19.12 | odd | 6 | inner |