Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,8,Mod(36,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.36");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.q (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: | \(28.4270373191\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 36.19 | ||
Character | \(\chi\) | \(=\) | 91.36 |
Dual form | 91.8.q.a.43.19 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.87848 | + | 3.39394i | −0.519589 | + | 0.299985i | −0.736766 | − | 0.676147i | \(-0.763648\pi\) |
0.217177 | + | 0.976132i | \(0.430315\pi\) | |||||||
\(3\) | −26.5593 | − | 46.0020i | −0.567926 | − | 0.983676i | −0.996771 | − | 0.0802983i | \(-0.974413\pi\) |
0.428845 | − | 0.903378i | \(-0.358921\pi\) | |||||||
\(4\) | −40.9623 | + | 70.9488i | −0.320018 | + | 0.554288i | ||||
\(5\) | − | 36.3394i | − | 0.130012i | −0.997885 | − | 0.0650058i | \(-0.979293\pi\) | ||
0.997885 | − | 0.0650058i | \(-0.0207066\pi\) | |||||||
\(6\) | 312.256 | + | 180.281i | 0.590176 | + | 0.340738i | ||||
\(7\) | −297.047 | − | 171.500i | −0.327327 | − | 0.188982i | ||||
\(8\) | − | 1424.94i | − | 0.983972i | ||||||
\(9\) | −317.289 | + | 549.560i | −0.145080 | + | 0.251285i | ||||
\(10\) | 123.334 | + | 213.620i | 0.0390015 | + | 0.0675526i | ||||
\(11\) | −1696.35 | + | 979.391i | −0.384275 | + | 0.221861i | −0.679677 | − | 0.733512i | \(-0.737880\pi\) |
0.295402 | + | 0.955373i | \(0.404547\pi\) | |||||||
\(12\) | 4351.72 | 0.726986 | ||||||||
\(13\) | −2032.36 | − | 7656.24i | −0.256565 | − | 0.966527i | ||||
\(14\) | 2328.24 | 0.226767 | ||||||||
\(15\) | −1671.68 | + | 965.147i | −0.127889 | + | 0.0738370i | ||||
\(16\) | −407.002 | − | 704.948i | −0.0248414 | − | 0.0430266i | ||||
\(17\) | 10290.4 | − | 17823.5i | 0.507998 | − | 0.879878i | −0.491960 | − | 0.870618i | \(-0.663719\pi\) |
0.999957 | − | 0.00925952i | \(-0.00294744\pi\) | |||||||
\(18\) | − | 4307.44i | − | 0.174087i | ||||||
\(19\) | −36386.5 | − | 21007.8i | −1.21703 | − | 0.702655i | −0.252752 | − | 0.967531i | \(-0.581336\pi\) |
−0.964283 | + | 0.264876i | \(0.914669\pi\) | |||||||
\(20\) | 2578.23 | + | 1488.54i | 0.0720639 | + | 0.0416061i | ||||
\(21\) | 18219.7i | 0.429312i | ||||||||
\(22\) | 6647.99 | − | 11514.7i | 0.133110 | − | 0.230553i | ||||
\(23\) | −9803.14 | − | 16979.5i | −0.168003 | − | 0.290990i | 0.769714 | − | 0.638388i | \(-0.220399\pi\) |
−0.937718 | + | 0.347398i | \(0.887065\pi\) | |||||||
\(24\) | −65550.3 | + | 37845.5i | −0.967910 | + | 0.558823i | ||||
\(25\) | 76804.5 | 0.983097 | ||||||||
\(26\) | 37932.0 | + | 38109.4i | 0.423252 | + | 0.425231i | ||||
\(27\) | −82462.4 | −0.806274 | ||||||||
\(28\) | 24335.4 | − | 14050.1i | 0.209501 | − | 0.120955i | ||||
\(29\) | 38900.8 | + | 67378.1i | 0.296186 | + | 0.513010i | 0.975260 | − | 0.221060i | \(-0.0709517\pi\) |
−0.679074 | + | 0.734070i | \(0.737618\pi\) | |||||||
\(30\) | 6551.30 | − | 11347.2i | 0.0442999 | − | 0.0767298i | ||||
\(31\) | 166365.i | 1.00299i | 0.865161 | + | 0.501494i | \(0.167216\pi\) | ||||
−0.865161 | + | 0.501494i | \(0.832784\pi\) | |||||||
\(32\) | 162742. | + | 93959.1i | 0.877960 | + | 0.506890i | ||||
\(33\) | 90107.8 | + | 52023.8i | 0.436479 | + | 0.252002i | ||||
\(34\) | 139700.i | 0.609566i | ||||||||
\(35\) | −6232.20 | + | 10794.5i | −0.0245699 | + | 0.0425563i | ||||
\(36\) | −25993.8 | − | 45022.6i | −0.0928562 | − | 0.160832i | ||||
\(37\) | 61036.2 | − | 35239.3i | 0.198099 | − | 0.114372i | −0.397670 | − | 0.917529i | \(-0.630181\pi\) |
0.595768 | + | 0.803156i | \(0.296848\pi\) | |||||||
\(38\) | 285197. | 0.843144 | ||||||||
\(39\) | −298225. | + | 296837.i | −0.805040 | + | 0.801293i | ||||
\(40\) | −51781.5 | −0.127928 | ||||||||
\(41\) | −463573. | + | 267644.i | −1.05045 | + | 0.606477i | −0.922775 | − | 0.385339i | \(-0.874085\pi\) |
−0.127674 | + | 0.991816i | \(0.540751\pi\) | |||||||
\(42\) | −61836.4 | − | 107104.i | −0.128787 | − | 0.223066i | ||||
\(43\) | −56260.7 | + | 97446.4i | −0.107911 | + | 0.186907i | −0.914924 | − | 0.403627i | \(-0.867749\pi\) |
0.807013 | + | 0.590534i | \(0.201083\pi\) | |||||||
\(44\) | − | 160472.i | − | 0.283999i | ||||||
\(45\) | 19970.7 | + | 11530.1i | 0.0326700 | + | 0.0188620i | ||||
\(46\) | 115255. | + | 66542.6i | 0.174585 | + | 0.100797i | ||||
\(47\) | 1.21361e6i | 1.70504i | 0.522691 | + | 0.852522i | \(0.324928\pi\) | ||||
−0.522691 | + | 0.852522i | \(0.675072\pi\) | |||||||
\(48\) | −21619.3 | + | 37445.8i | −0.0282162 | + | 0.0488719i | ||||
\(49\) | 58824.5 | + | 101887.i | 0.0714286 | + | 0.123718i | ||||
\(50\) | −451493. | + | 260670.i | −0.510806 | + | 0.294914i | ||||
\(51\) | −1.09322e6 | −1.15402 | ||||||||
\(52\) | 626451. | + | 169424.i | 0.617840 | + | 0.167095i | ||||
\(53\) | 206009. | 0.190073 | 0.0950365 | − | 0.995474i | \(-0.469703\pi\) | ||||
0.0950365 | + | 0.995474i | \(0.469703\pi\) | |||||||
\(54\) | 484753. | − | 279872.i | 0.418931 | − | 0.241870i | ||||
\(55\) | 35590.4 | + | 61644.4i | 0.0288446 | + | 0.0499602i | ||||
\(56\) | −244378. | + | 423275.i | −0.185953 | + | 0.322080i | ||||
\(57\) | 2.23180e6i | 1.59622i | ||||||||
\(58\) | −457354. | − | 264054.i | −0.307790 | − | 0.177703i | ||||
\(59\) | −2.42692e6 | − | 1.40118e6i | −1.53842 | − | 0.888205i | −0.998932 | − | 0.0462084i | \(-0.985286\pi\) |
−0.539484 | − | 0.841996i | \(-0.681381\pi\) | |||||||
\(60\) | − | 158139.i | − | 0.0945167i | ||||||
\(61\) | −1.42633e6 | + | 2.47047e6i | −0.804572 | + | 1.39356i | 0.112008 | + | 0.993707i | \(0.464272\pi\) |
−0.916580 | + | 0.399852i | \(0.869062\pi\) | |||||||
\(62\) | −564633. | − | 977972.i | −0.300881 | − | 0.521142i | ||||
\(63\) | 188499. | − | 108830.i | 0.0949768 | − | 0.0548349i | ||||
\(64\) | −1.17137e6 | −0.558555 | ||||||||
\(65\) | −278223. | + | 73854.5i | −0.125660 | + | 0.0333565i | ||||
\(66\) | −706263. | −0.302387 | ||||||||
\(67\) | 2.11821e6 | − | 1.22295e6i | 0.860413 | − | 0.496760i | −0.00373771 | − | 0.999993i | \(-0.501190\pi\) |
0.864151 | + | 0.503233i | \(0.167856\pi\) | |||||||
\(68\) | 843039. | + | 1.46019e6i | 0.325137 | + | 0.563154i | ||||
\(69\) | −520729. | + | 901928.i | −0.190827 | + | 0.330522i | ||||
\(70\) | − | 84606.9i | − | 0.0294824i | ||||||
\(71\) | 3.43957e6 | + | 1.98584e6i | 1.14051 | + | 0.658475i | 0.946558 | − | 0.322535i | \(-0.104535\pi\) |
0.193955 | + | 0.981010i | \(0.437868\pi\) | |||||||
\(72\) | 783093. | + | 452119.i | 0.247258 | + | 0.142754i | ||||
\(73\) | − | 3.59629e6i | − | 1.08199i | −0.841024 | − | 0.540997i | \(-0.818047\pi\) | ||
0.841024 | − | 0.540997i | \(-0.181953\pi\) | |||||||
\(74\) | −239200. | + | 414306.i | −0.0686199 | + | 0.118853i | ||||
\(75\) | −2.03987e6 | − | 3.53316e6i | −0.558326 | − | 0.967049i | ||||
\(76\) | 2.98095e6 | − | 1.72105e6i | 0.778947 | − | 0.449725i | ||||
\(77\) | 671862. | 0.167711 | ||||||||
\(78\) | 745660. | − | 2.75710e6i | 0.177914 | − | 0.657843i | ||||
\(79\) | 3.66583e6 | 0.836522 | 0.418261 | − | 0.908327i | \(-0.362640\pi\) | ||||
0.418261 | + | 0.908327i | \(0.362640\pi\) | |||||||
\(80\) | −25617.4 | + | 14790.2i | −0.00559396 | + | 0.00322967i | ||||
\(81\) | 2.88405e6 | + | 4.99532e6i | 0.602983 | + | 1.04440i | ||||
\(82\) | 1.81674e6 | − | 3.14668e6i | 0.363868 | − | 0.630238i | ||||
\(83\) | 8.26855e6i | 1.58729i | 0.608382 | + | 0.793644i | \(0.291819\pi\) | ||||
−0.608382 | + | 0.793644i | \(0.708181\pi\) | |||||||
\(84\) | −1.29266e6 | − | 746319.i | −0.237962 | − | 0.137388i | ||||
\(85\) | −647695. | − | 373947.i | −0.114394 | − | 0.0660456i | ||||
\(86\) | − | 763782.i | − | 0.129487i | ||||||
\(87\) | 2.06635e6 | − | 3.57902e6i | 0.336424 | − | 0.582703i | ||||
\(88\) | 1.39558e6 | + | 2.41721e6i | 0.218305 | + | 0.378116i | ||||
\(89\) | 4.68350e6 | − | 2.70402e6i | 0.704216 | − | 0.406579i | −0.104700 | − | 0.994504i | \(-0.533388\pi\) |
0.808916 | + | 0.587925i | \(0.200055\pi\) | |||||||
\(90\) | −156530. | −0.0226333 | ||||||||
\(91\) | −709341. | + | 2.62281e6i | −0.0986757 | + | 0.364856i | ||||
\(92\) | 1.60624e6 | 0.215057 | ||||||||
\(93\) | 7.65312e6 | − | 4.41853e6i | 0.986616 | − | 0.569623i | ||||
\(94\) | −4.11891e6 | − | 7.13417e6i | −0.511488 | − | 0.885923i | ||||
\(95\) | −763409. | + | 1.32226e6i | −0.0913534 | + | 0.158229i | ||||
\(96\) | − | 9.98194e6i | − | 1.15150i | ||||||
\(97\) | −8.60557e6 | − | 4.96843e6i | −0.957367 | − | 0.552736i | −0.0620052 | − | 0.998076i | \(-0.519750\pi\) |
−0.895362 | + | 0.445340i | \(0.853083\pi\) | |||||||
\(98\) | −691597. | − | 399294.i | −0.0742270 | − | 0.0428550i | ||||
\(99\) | − | 1.24300e6i | − | 0.128750i | ||||||
\(100\) | −3.14609e6 | + | 5.44919e6i | −0.314609 | + | 0.544919i | ||||
\(101\) | −4.77498e6 | − | 8.27050e6i | −0.461154 | − | 0.798743i | 0.537864 | − | 0.843031i | \(-0.319231\pi\) |
−0.999019 | + | 0.0442886i | \(0.985898\pi\) | |||||||
\(102\) | 6.42649e6 | − | 3.71034e6i | 0.599616 | − | 0.346188i | ||||
\(103\) | −8.46337e6 | −0.763156 | −0.381578 | − | 0.924337i | \(-0.624619\pi\) | ||||
−0.381578 | + | 0.924337i | \(0.624619\pi\) | |||||||
\(104\) | −1.09097e7 | + | 2.89599e6i | −0.951036 | + | 0.252453i | ||||
\(105\) | 662090. | 0.0558155 | ||||||||
\(106\) | −1.21102e6 | + | 699182.i | −0.0987598 | + | 0.0570190i | ||||
\(107\) | −4.58442e6 | − | 7.94044e6i | −0.361777 | − | 0.626616i | 0.626476 | − | 0.779440i | \(-0.284496\pi\) |
−0.988253 | + | 0.152824i | \(0.951163\pi\) | |||||||
\(108\) | 3.37785e6 | − | 5.85061e6i | 0.258022 | − | 0.446908i | ||||
\(109\) | − | 2.58830e6i | − | 0.191435i | −0.995409 | − | 0.0957176i | \(-0.969485\pi\) | ||
0.995409 | − | 0.0957176i | \(-0.0305146\pi\) | |||||||
\(110\) | −418435. | − | 241584.i | −0.0299746 | − | 0.0173059i | ||||
\(111\) | −3.24215e6 | − | 1.87186e6i | −0.225011 | − | 0.129910i | ||||
\(112\) | 279203.i | 0.0187784i | ||||||||
\(113\) | 4.00452e6 | − | 6.93602e6i | 0.261081 | − | 0.452206i | −0.705448 | − | 0.708761i | \(-0.749254\pi\) |
0.966529 | + | 0.256556i | \(0.0825877\pi\) | |||||||
\(114\) | −7.57461e6 | − | 1.31196e7i | −0.478843 | − | 0.829381i | ||||
\(115\) | −617026. | + | 356240.i | −0.0378321 | + | 0.0218424i | ||||
\(116\) | −6.37386e6 | −0.379140 | ||||||||
\(117\) | 4.85241e6 | + | 1.31234e6i | 0.280096 | + | 0.0757522i | ||||
\(118\) | 1.90221e7 | 1.06579 | ||||||||
\(119\) | −6.11347e6 | + | 3.52961e6i | −0.332562 | + | 0.192005i | ||||
\(120\) | 1.37528e6 | + | 2.38205e6i | 0.0726535 | + | 0.125840i | ||||
\(121\) | −7.82517e6 | + | 1.35536e7i | −0.401555 | + | 0.695514i | ||||
\(122\) | − | 1.93635e7i | − | 0.965437i | ||||||
\(123\) | 2.46243e7 | + | 1.42169e7i | 1.19315 | + | 0.688868i | ||||
\(124\) | −1.18034e7 | − | 6.81469e6i | −0.555944 | − | 0.320974i | ||||
\(125\) | − | 5.63004e6i | − | 0.257826i | ||||||
\(126\) | −738726. | + | 1.27951e6i | −0.0328993 | + | 0.0569832i | ||||
\(127\) | 2.09802e7 | + | 3.63387e7i | 0.908858 | + | 1.57419i | 0.815653 | + | 0.578542i | \(0.196378\pi\) |
0.0932056 | + | 0.995647i | \(0.470289\pi\) | |||||||
\(128\) | −1.39451e7 | + | 8.05119e6i | −0.587741 | + | 0.339332i | ||||
\(129\) | 5.97697e6 | 0.245142 | ||||||||
\(130\) | 1.38487e6 | − | 1.37842e6i | 0.0552850 | − | 0.0550277i | ||||
\(131\) | 1.57343e7 | 0.611502 | 0.305751 | − | 0.952111i | \(-0.401092\pi\) | ||||
0.305751 | + | 0.952111i | \(0.401092\pi\) | |||||||
\(132\) | −7.38205e6 | + | 4.26203e6i | −0.279363 | + | 0.161290i | ||||
\(133\) | 7.20567e6 | + | 1.24806e7i | 0.265579 | + | 0.459996i | ||||
\(134\) | −8.30123e6 | + | 1.43781e7i | −0.298041 | + | 0.516222i | ||||
\(135\) | 2.99663e6i | 0.104825i | ||||||||
\(136\) | −2.53975e7 | − | 1.46633e7i | −0.865775 | − | 0.499855i | ||||
\(137\) | −377923. | − | 218194.i | −0.0125569 | − | 0.00724972i | 0.493708 | − | 0.869628i | \(-0.335641\pi\) |
−0.506265 | + | 0.862378i | \(0.668974\pi\) | |||||||
\(138\) | − | 7.06929e6i | − | 0.228981i | ||||||
\(139\) | −7.81524e6 | + | 1.35364e7i | −0.246826 | + | 0.427515i | −0.962643 | − | 0.270773i | \(-0.912721\pi\) |
0.715818 | + | 0.698287i | \(0.246054\pi\) | |||||||
\(140\) | −510571. | − | 884335.i | −0.0157256 | − | 0.0272376i | ||||
\(141\) | 5.58284e7 | − | 3.22325e7i | 1.67721 | − | 0.968339i | ||||
\(142\) | −2.69593e7 | −0.790131 | ||||||||
\(143\) | 1.09460e7 | + | 1.09972e7i | 0.313027 | + | 0.314490i | ||||
\(144\) | 516549. | 0.0144159 | ||||||||
\(145\) | 2.44848e6 | − | 1.41363e6i | 0.0666972 | − | 0.0385077i | ||||
\(146\) | 1.22056e7 | + | 2.11407e7i | 0.324582 | + | 0.562193i | ||||
\(147\) | 3.12467e6 | − | 5.41209e6i | 0.0811323 | − | 0.140525i | ||||
\(148\) | 5.77393e6i | 0.146405i | ||||||||
\(149\) | −2.27571e7 | − | 1.31388e7i | −0.563592 | − | 0.325390i | 0.190994 | − | 0.981591i | \(-0.438829\pi\) |
−0.754586 | + | 0.656201i | \(0.772162\pi\) | |||||||
\(150\) | 2.39827e7 | + | 1.38464e7i | 0.580200 | + | 0.334979i | ||||
\(151\) | 5.24821e7i | 1.24049i | 0.784410 | + | 0.620243i | \(0.212966\pi\) | ||||
−0.784410 | + | 0.620243i | \(0.787034\pi\) | |||||||
\(152\) | −2.99349e7 | + | 5.18488e7i | −0.691393 | + | 1.19753i | ||||
\(153\) | 6.53007e6 | + | 1.13104e7i | 0.147400 | + | 0.255304i | ||||
\(154\) | −3.94953e6 | + | 2.28026e6i | −0.0871410 | + | 0.0503109i | ||||
\(155\) | 6.04559e6 | 0.130400 | ||||||||
\(156\) | −8.84424e6 | − | 3.33178e7i | −0.186520 | − | 0.702652i | ||||
\(157\) | 8.22389e7 | 1.69601 | 0.848006 | − | 0.529987i | \(-0.177803\pi\) | ||||
0.848006 | + | 0.529987i | \(0.177803\pi\) | |||||||
\(158\) | −2.15495e7 | + | 1.24416e7i | −0.434647 | + | 0.250944i | ||||
\(159\) | −5.47144e6 | − | 9.47682e6i | −0.107947 | − | 0.186970i | ||||
\(160\) | 3.41441e6 | − | 5.91394e6i | 0.0659016 | − | 0.114145i | ||||
\(161\) | 6.72496e6i | 0.126999i | ||||||||
\(162\) | −3.39077e7 | − | 1.95766e7i | −0.626607 | − | 0.361772i | ||||
\(163\) | −8.81882e6 | − | 5.09155e6i | −0.159497 | − | 0.0920859i | 0.418127 | − | 0.908389i | \(-0.362687\pi\) |
−0.577624 | + | 0.816303i | \(0.696020\pi\) | |||||||
\(164\) | − | 4.38533e7i | − | 0.776335i | ||||||
\(165\) | 1.89051e6 | − | 3.27446e6i | 0.0327631 | − | 0.0567474i | ||||
\(166\) | −2.80630e7 | − | 4.86065e7i | −0.476163 | − | 0.824738i | ||||
\(167\) | −6.53137e7 | + | 3.77089e7i | −1.08517 | + | 0.626522i | −0.932286 | − | 0.361723i | \(-0.882189\pi\) |
−0.152882 | + | 0.988244i | \(0.548855\pi\) | |||||||
\(168\) | 2.59620e7 | 0.422431 | ||||||||
\(169\) | −5.44876e7 | + | 3.11204e7i | −0.868348 | + | 0.495955i | ||||
\(170\) | 5.07662e6 | 0.0792507 | ||||||||
\(171\) | 2.30901e7 | − | 1.33311e7i | 0.353134 | − | 0.203882i | ||||
\(172\) | −4.60914e6 | − | 7.98326e6i | −0.0690669 | − | 0.119627i | ||||
\(173\) | −1.27613e7 | + | 2.21033e7i | −0.187385 | + | 0.324560i | −0.944378 | − | 0.328863i | \(-0.893335\pi\) |
0.756993 | + | 0.653423i | \(0.226668\pi\) | |||||||
\(174\) | 2.80523e7i | 0.403688i | ||||||||
\(175\) | −2.28145e7 | − | 1.31720e7i | −0.321794 | − | 0.185788i | ||||
\(176\) | 1.38084e6 | + | 797228.i | 0.0190919 | + | 0.0110227i | ||||
\(177\) | 1.48858e8i | 2.01774i | ||||||||
\(178\) | −1.83546e7 | + | 3.17911e7i | −0.243935 | + | 0.422508i | ||||
\(179\) | −5.75898e7 | − | 9.97485e7i | −0.750516 | − | 1.29993i | −0.947573 | − | 0.319540i | \(-0.896472\pi\) |
0.197057 | − | 0.980392i | \(-0.436862\pi\) | |||||||
\(180\) | −1.63609e6 | + | 944597.i | −0.0209100 | + | 0.0120724i | ||||
\(181\) | −2.59779e6 | −0.0325633 | −0.0162816 | − | 0.999867i | \(-0.505183\pi\) | ||||
−0.0162816 | + | 0.999867i | \(0.505183\pi\) | |||||||
\(182\) | −4.73182e6 | − | 1.78256e7i | −0.0581806 | − | 0.219177i | ||||
\(183\) | 1.51529e8 | 1.82775 | ||||||||
\(184\) | −2.41949e7 | + | 1.39689e7i | −0.286326 | + | 0.165311i | ||||
\(185\) | −1.28057e6 | − | 2.21802e6i | −0.0148697 | − | 0.0257551i | ||||
\(186\) | −2.99925e7 | + | 5.19485e7i | −0.341756 | + | 0.591940i | ||||
\(187\) | 4.03133e7i | 0.450820i | ||||||||
\(188\) | −8.61040e7 | − | 4.97122e7i | −0.945085 | − | 0.545645i | ||||
\(189\) | 2.44952e7 | + | 1.41423e7i | 0.263915 | + | 0.152371i | ||||
\(190\) | − | 1.03639e7i | − | 0.109619i | ||||||
\(191\) | −2.05927e7 | + | 3.56675e7i | −0.213843 | + | 0.370388i | −0.952914 | − | 0.303240i | \(-0.901932\pi\) |
0.739071 | + | 0.673628i | \(0.235265\pi\) | |||||||
\(192\) | 3.11108e7 | + | 5.38855e7i | 0.317218 | + | 0.549437i | ||||
\(193\) | 1.38341e8 | − | 7.98710e7i | 1.38516 | − | 0.799721i | 0.392393 | − | 0.919798i | \(-0.371647\pi\) |
0.992765 | + | 0.120076i | \(0.0383139\pi\) | |||||||
\(194\) | 6.74502e7 | 0.663250 | ||||||||
\(195\) | 1.07869e7 | + | 1.08373e7i | 0.104177 | + | 0.104665i | ||||
\(196\) | −9.63835e6 | −0.0914338 | ||||||||
\(197\) | −6.96313e7 | + | 4.02016e7i | −0.648892 | + | 0.374638i | −0.788032 | − | 0.615635i | \(-0.788900\pi\) |
0.139139 | + | 0.990273i | \(0.455566\pi\) | |||||||
\(198\) | 4.21867e6 | + | 7.30694e6i | 0.0386231 | + | 0.0668971i | ||||
\(199\) | −3.75301e7 | + | 6.50041e7i | −0.337594 | + | 0.584730i | −0.983980 | − | 0.178281i | \(-0.942946\pi\) |
0.646386 | + | 0.763011i | \(0.276280\pi\) | |||||||
\(200\) | − | 1.09442e8i | − | 0.967340i | ||||||
\(201\) | −1.12516e8 | − | 6.49612e7i | −0.977301 | − | 0.564245i | ||||
\(202\) | 5.61392e7 | + | 3.24120e7i | 0.479221 | + | 0.276679i | ||||
\(203\) | − | 2.66859e7i | − | 0.223896i | ||||||
\(204\) | 4.47810e7 | − | 7.75629e7i | 0.369307 | − | 0.639659i | ||||
\(205\) | 9.72602e6 | + | 1.68460e7i | 0.0788491 | + | 0.136571i | ||||
\(206\) | 4.97518e7 | − | 2.87242e7i | 0.396527 | − | 0.228935i | ||||
\(207\) | 1.24417e7 | 0.0974954 | ||||||||
\(208\) | −4.57008e6 | + | 4.54881e6i | −0.0352129 | + | 0.0350490i | ||||
\(209\) | 8.22993e7 | 0.623568 | ||||||||
\(210\) | −3.89208e6 | + | 2.24710e6i | −0.0290011 | + | 0.0167438i | ||||
\(211\) | 4.00181e7 | + | 6.93134e7i | 0.293270 | + | 0.507959i | 0.974581 | − | 0.224036i | \(-0.0719232\pi\) |
−0.681311 | + | 0.731994i | \(0.738590\pi\) | |||||||
\(212\) | −8.43860e6 | + | 1.46161e7i | −0.0608268 | + | 0.105355i | ||||
\(213\) | − | 2.10970e8i | − | 1.49586i | ||||||
\(214\) | 5.38988e7 | + | 3.11185e7i | 0.375951 | + | 0.217055i | ||||
\(215\) | 3.54114e6 | + | 2.04448e6i | 0.0243001 | + | 0.0140297i | ||||
\(216\) | 1.17504e8i | 0.793351i | ||||||||
\(217\) | 2.85316e7 | − | 4.94181e7i | 0.189547 | − | 0.328305i | ||||
\(218\) | 8.78453e6 | + | 1.52153e7i | 0.0574276 | + | 0.0994676i | ||||
\(219\) | −1.65437e8 | + | 9.55149e7i | −1.06433 | + | 0.614493i | ||||
\(220\) | −5.83147e6 | −0.0369231 | ||||||||
\(221\) | −1.57375e8 | − | 4.25622e7i | −0.980760 | − | 0.265247i | ||||
\(222\) | 2.54119e7 | 0.155884 | ||||||||
\(223\) | −1.49915e8 | + | 8.65532e7i | −0.905267 | + | 0.522656i | −0.878905 | − | 0.476996i | \(-0.841726\pi\) |
−0.0263620 | + | 0.999652i | \(0.508392\pi\) | |||||||
\(224\) | −3.22280e7 | − | 5.58205e7i | −0.191586 | − | 0.331838i | ||||
\(225\) | −2.43692e7 | + | 4.22087e7i | −0.142627 | + | 0.247038i | ||||
\(226\) | 5.43644e7i | 0.313282i | ||||||||
\(227\) | 1.96513e8 | + | 1.13457e8i | 1.11507 | + | 0.643785i | 0.940137 | − | 0.340796i | \(-0.110697\pi\) |
0.174930 | + | 0.984581i | \(0.444030\pi\) | |||||||
\(228\) | −1.58344e8 | − | 9.14199e7i | −0.884768 | − | 0.510821i | ||||
\(229\) | 2.34001e8i | 1.28764i | 0.765178 | + | 0.643819i | \(0.222651\pi\) | ||||
−0.765178 | + | 0.643819i | \(0.777349\pi\) | |||||||
\(230\) | 2.41811e6 | − | 4.18830e6i | 0.0131048 | − | 0.0226981i | ||||
\(231\) | −1.78442e7 | − | 3.09070e7i | −0.0952476 | − | 0.164974i | ||||
\(232\) | 9.60100e7 | − | 5.54314e7i | 0.504787 | − | 0.291439i | ||||
\(233\) | 1.18688e8 | 0.614698 | 0.307349 | − | 0.951597i | \(-0.400558\pi\) | ||||
0.307349 | + | 0.951597i | \(0.400558\pi\) | |||||||
\(234\) | −3.29788e7 | + | 8.75425e6i | −0.168259 | + | 0.0446646i | ||||
\(235\) | 4.41017e7 | 0.221676 | ||||||||
\(236\) | 1.98825e8 | − | 1.14791e8i | 0.984642 | − | 0.568483i | ||||
\(237\) | −9.73617e7 | − | 1.68635e8i | −0.475082 | − | 0.822867i | ||||
\(238\) | 2.39586e7 | − | 4.14975e7i | 0.115197 | − | 0.199527i | ||||
\(239\) | − | 3.73655e8i | − | 1.77043i | −0.465185 | − | 0.885213i | \(-0.654012\pi\) | ||
0.465185 | − | 0.885213i | \(-0.345988\pi\) | |||||||
\(240\) | 1.36076e6 | + | 785633.i | 0.00635391 | + | 0.00366843i | ||||
\(241\) | 3.84014e7 | + | 2.21711e7i | 0.176721 | + | 0.102030i | 0.585751 | − | 0.810491i | \(-0.300800\pi\) |
−0.409030 | + | 0.912521i | \(0.634133\pi\) | |||||||
\(242\) | − | 1.06233e8i | − | 0.481842i | ||||||
\(243\) | 6.30239e7 | − | 1.09161e8i | 0.281763 | − | 0.488027i | ||||
\(244\) | −1.16851e8 | − | 2.02392e8i | −0.514955 | − | 0.891928i | ||||
\(245\) | 3.70251e6 | − | 2.13764e6i | 0.0160848 | − | 0.00928655i | ||||
\(246\) | −1.93005e8 | −0.826600 | ||||||||
\(247\) | −8.68902e7 | + | 3.21279e8i | −0.366886 | + | 1.35657i | ||||
\(248\) | 2.37061e8 | 0.986912 | ||||||||
\(249\) | 3.80370e8 | − | 2.19607e8i | 1.56138 | − | 0.901462i | ||||
\(250\) | 1.91080e7 | + | 3.30960e7i | 0.0773438 | + | 0.133963i | ||||
\(251\) | 4.73101e7 | − | 8.19435e7i | 0.188841 | − | 0.327082i | −0.756023 | − | 0.654545i | \(-0.772860\pi\) |
0.944864 | + | 0.327463i | \(0.106194\pi\) | |||||||
\(252\) | 1.78317e7i | 0.0701927i | ||||||||
\(253\) | 3.32592e7 | + | 1.92022e7i | 0.129119 | + | 0.0745469i | ||||
\(254\) | −2.46663e8 | − | 1.42411e8i | −0.944466 | − | 0.545287i | ||||
\(255\) | 3.97270e7i | 0.150036i | ||||||||
\(256\) | 1.29618e8 | − | 2.24506e8i | 0.482866 | − | 0.836349i | ||||
\(257\) | −1.80670e8 | − | 3.12930e8i | −0.663927 | − | 1.14996i | −0.979575 | − | 0.201079i | \(-0.935555\pi\) |
0.315648 | − | 0.948876i | \(-0.397778\pi\) | |||||||
\(258\) | −3.51355e7 | + | 2.02855e7i | −0.127373 | + | 0.0735388i | ||||
\(259\) | −2.41741e7 | −0.0864573 | ||||||||
\(260\) | 6.15677e6 | − | 2.27648e7i | 0.0217243 | − | 0.0803263i | ||||
\(261\) | −4.93711e7 | −0.171882 | ||||||||
\(262\) | −9.24938e7 | + | 5.34013e7i | −0.317730 | + | 0.183441i | ||||
\(263\) | 7.50204e7 | + | 1.29939e8i | 0.254293 | + | 0.440448i | 0.964703 | − | 0.263339i | \(-0.0848239\pi\) |
−0.710410 | + | 0.703788i | \(0.751491\pi\) | |||||||
\(264\) | 7.41310e7 | − | 1.28399e8i | 0.247962 | − | 0.429484i | ||||
\(265\) | − | 7.48623e6i | − | 0.0247117i | ||||||
\(266\) | −8.47167e7 | − | 4.89112e7i | −0.275984 | − | 0.159339i | ||||
\(267\) | −2.48781e8 | − | 1.43634e8i | −0.799884 | − | 0.461813i | ||||
\(268\) | 2.00379e8i | 0.635888i | ||||||||
\(269\) | 1.37641e8 | − | 2.38401e8i | 0.431135 | − | 0.746748i | −0.565836 | − | 0.824518i | \(-0.691446\pi\) |
0.996971 | + | 0.0777695i | \(0.0247798\pi\) | |||||||
\(270\) | −1.01704e7 | − | 1.76156e7i | −0.0314459 | − | 0.0544659i | ||||
\(271\) | 3.86080e8 | − | 2.22903e8i | 1.17838 | − | 0.680337i | 0.222739 | − | 0.974878i | \(-0.428500\pi\) |
0.955639 | + | 0.294541i | \(0.0951669\pi\) | |||||||
\(272\) | −1.67529e7 | −0.0504775 | ||||||||
\(273\) | 1.39494e8 | − | 3.70288e7i | 0.414941 | − | 0.110147i | ||||
\(274\) | 2.96215e6 | 0.00869922 | ||||||||
\(275\) | −1.30288e8 | + | 7.52216e7i | −0.377780 | + | 0.218111i | ||||
\(276\) | −4.26605e7 | − | 7.38902e7i | −0.122136 | − | 0.211546i | ||||
\(277\) | 9.90860e7 | − | 1.71622e8i | 0.280113 | − | 0.485170i | −0.691299 | − | 0.722568i | \(-0.742961\pi\) |
0.971412 | + | 0.237399i | \(0.0762948\pi\) | |||||||
\(278\) | − | 1.06098e8i | − | 0.296176i | ||||||
\(279\) | −9.14276e7 | − | 5.27857e7i | −0.252036 | − | 0.145513i | ||||
\(280\) | 1.53815e7 | + | 8.88053e6i | 0.0418742 | + | 0.0241761i | ||||
\(281\) | 8.09263e7i | 0.217579i | 0.994065 | + | 0.108790i | \(0.0346975\pi\) | ||||
−0.994065 | + | 0.108790i | \(0.965302\pi\) | |||||||
\(282\) | −2.18791e8 | + | 3.78956e8i | −0.580974 | + | 1.00628i | ||||
\(283\) | 2.73371e8 | + | 4.73492e8i | 0.716968 | + | 1.24183i | 0.962196 | + | 0.272360i | \(0.0878040\pi\) |
−0.245227 | + | 0.969466i | \(0.578863\pi\) | |||||||
\(284\) | −2.81786e8 | + | 1.62689e8i | −0.729970 | + | 0.421448i | ||||
\(285\) | 8.11023e7 | 0.207528 | ||||||||
\(286\) | −1.01670e8 | − | 2.74967e7i | −0.256987 | − | 0.0695024i | ||||
\(287\) | 1.83604e8 | 0.458454 | ||||||||
\(288\) | −1.03272e8 | + | 5.96244e7i | −0.254748 | + | 0.147079i | ||||
\(289\) | −6.61589e6 | − | 1.14591e7i | −0.0161230 | − | 0.0279259i | ||||
\(290\) | −9.59554e6 | + | 1.66200e7i | −0.0231034 | + | 0.0400163i | ||||
\(291\) | 5.27831e8i | 1.25565i | ||||||||
\(292\) | 2.55153e8 | + | 1.47313e8i | 0.599737 | + | 0.346258i | ||||
\(293\) | −3.87214e8 | − | 2.23558e8i | −0.899321 | − | 0.519223i | −0.0223412 | − | 0.999750i | \(-0.507112\pi\) |
−0.876980 | + | 0.480527i | \(0.840445\pi\) | |||||||
\(294\) | 4.24198e7i | 0.0973538i | ||||||||
\(295\) | −5.09181e7 | + | 8.81927e7i | −0.115477 | + | 0.200012i | ||||
\(296\) | −5.02140e7 | − | 8.69731e7i | −0.112539 | − | 0.194923i | ||||
\(297\) | 1.39885e8 | − | 8.07629e7i | 0.309831 | − | 0.178881i | ||||
\(298\) | 1.78369e8 | 0.390448 | ||||||||
\(299\) | −1.10076e8 | + | 1.09564e8i | −0.238146 | + | 0.237038i | ||||
\(300\) | 3.34231e8 | 0.714698 | ||||||||
\(301\) | 3.34241e7 | − | 1.92974e7i | 0.0706443 | − | 0.0407865i | ||||
\(302\) | −1.78121e8 | − | 3.08515e8i | −0.372127 | − | 0.644543i | ||||
\(303\) | −2.53640e8 | + | 4.39317e8i | −0.523803 | + | 0.907253i | ||||
\(304\) | 3.42008e7i | 0.0698199i | ||||||||
\(305\) | 8.97753e7 | + | 5.18318e7i | 0.181179 | + | 0.104604i | ||||
\(306\) | −7.67737e7 | − | 4.43253e7i | −0.153175 | − | 0.0884356i | ||||
\(307\) | 6.03021e8i | 1.18946i | 0.803927 | + | 0.594728i | \(0.202740\pi\) | ||||
−0.803927 | + | 0.594728i | \(0.797260\pi\) | |||||||
\(308\) | −2.75210e7 | + | 4.76678e7i | −0.0536707 | + | 0.0929604i | ||||
\(309\) | 2.24781e8 | + | 3.89332e8i | 0.433416 | + | 0.750698i | ||||
\(310\) | −3.55389e7 | + | 2.05184e7i | −0.0677545 | + | 0.0391181i | ||||
\(311\) | 2.48794e6 | 0.00469005 | 0.00234503 | − | 0.999997i | \(-0.499254\pi\) | ||||
0.00234503 | + | 0.999997i | \(0.499254\pi\) | |||||||
\(312\) | 4.22975e8 | + | 4.24953e8i | 0.788450 | + | 0.792136i | ||||
\(313\) | 8.77163e8 | 1.61687 | 0.808435 | − | 0.588586i | \(-0.200315\pi\) | ||||
0.808435 | + | 0.588586i | \(0.200315\pi\) | |||||||
\(314\) | −4.83440e8 | + | 2.79114e8i | −0.881229 | + | 0.508778i | ||||
\(315\) | −3.95482e6 | − | 6.84994e6i | −0.00712917 | − | 0.0123481i | ||||
\(316\) | −1.50161e8 | + | 2.60086e8i | −0.267702 | + | 0.463674i | ||||
\(317\) | 7.97891e8i | 1.40681i | 0.710788 | + | 0.703406i | \(0.248338\pi\) | ||||
−0.710788 | + | 0.703406i | \(0.751662\pi\) | |||||||
\(318\) | 6.43275e7 | + | 3.71395e7i | 0.112177 | + | 0.0647651i | ||||
\(319\) | −1.31979e8 | − | 7.61981e7i | −0.227634 | − | 0.131425i | ||||
\(320\) | 4.25670e7i | 0.0726186i | ||||||||
\(321\) | −2.43517e8 | + | 4.21785e8i | −0.410925 | + | 0.711743i | ||||
\(322\) | −2.28241e7 | − | 3.95325e7i | −0.0380977 | − | 0.0659871i | ||||
\(323\) | −7.48865e8 | + | 4.32357e8i | −1.23650 | + | 0.713895i | ||||
\(324\) | −4.72550e8 | −0.771863 | ||||||||
\(325\) | −1.56094e8 | − | 5.88033e8i | −0.252229 | − | 0.950190i | ||||
\(326\) | 6.91216e7 | 0.110497 | ||||||||
\(327\) | −1.19067e8 | + | 6.87433e7i | −0.188310 | + | 0.108721i | ||||
\(328\) | 3.81378e8 | + | 6.60566e8i | 0.596757 | + | 1.03361i | ||||
\(329\) | 2.08134e8 | − | 3.60498e8i | 0.322223 | − | 0.558107i | ||||
\(330\) | 2.56651e7i | 0.0393138i | ||||||||
\(331\) | −1.00749e8 | − | 5.81673e7i | −0.152701 | − | 0.0881619i | 0.421703 | − | 0.906734i | \(-0.361433\pi\) |
−0.574404 | + | 0.818572i | \(0.694766\pi\) | |||||||
\(332\) | −5.86644e8 | − | 3.38699e8i | −0.879815 | − | 0.507961i | ||||
\(333\) | 4.47241e7i | 0.0663723i | ||||||||
\(334\) | 2.55964e8 | − | 4.43342e8i | 0.375894 | − | 0.651068i | ||||
\(335\) | −4.44411e7 | − | 7.69743e7i | −0.0645845 | − | 0.111864i | ||||
\(336\) | 1.28439e7 | − | 7.41543e6i | 0.0184718 | − | 0.0106647i | ||||
\(337\) | −1.04675e9 | −1.48984 | −0.744920 | − | 0.667153i | \(-0.767513\pi\) | ||||
−0.744920 | + | 0.667153i | \(0.767513\pi\) | |||||||
\(338\) | 2.14683e8 | − | 3.67868e8i | 0.302405 | − | 0.518184i | ||||
\(339\) | −4.25428e8 | −0.593099 | ||||||||
\(340\) | 5.30622e7 | − | 3.06355e7i | 0.0732165 | − | 0.0422716i | ||||
\(341\) | −1.62936e8 | − | 2.82214e8i | −0.222524 | − | 0.385423i | ||||
\(342\) | −9.04897e7 | + | 1.56733e8i | −0.122323 | + | 0.211870i | ||||
\(343\) | − | 4.03536e7i | − | 0.0539949i | ||||||
\(344\) | 1.38856e8 | + | 8.01684e7i | 0.183912 | + | 0.106181i | ||||
\(345\) | 3.27755e7 | + | 1.89229e7i | 0.0429717 | + | 0.0248097i | ||||
\(346\) | − | 1.73245e8i | − | 0.224851i | ||||||
\(347\) | 5.11154e8 | − | 8.85345e8i | 0.656748 | − | 1.13752i | −0.324704 | − | 0.945816i | \(-0.605265\pi\) |
0.981452 | − | 0.191706i | \(-0.0614019\pi\) | |||||||
\(348\) | 1.69285e8 | + | 2.93210e8i | 0.215323 | + | 0.372951i | ||||
\(349\) | −3.79303e8 | + | 2.18991e8i | −0.477636 | + | 0.275763i | −0.719431 | − | 0.694564i | \(-0.755597\pi\) |
0.241795 | + | 0.970327i | \(0.422264\pi\) | |||||||
\(350\) | 1.78819e8 | 0.222934 | ||||||||
\(351\) | 1.67593e8 | + | 6.31352e8i | 0.206862 | + | 0.779286i | ||||
\(352\) | −3.68091e8 | −0.449837 | ||||||||
\(353\) | 3.52335e8 | − | 2.03421e8i | 0.426329 | − | 0.246141i | −0.271453 | − | 0.962452i | \(-0.587504\pi\) |
0.697781 | + | 0.716311i | \(0.254171\pi\) | |||||||
\(354\) | −5.05214e8 | − | 8.75056e8i | −0.605291 | − | 1.04839i | ||||
\(355\) | 7.21641e7 | − | 1.24992e8i | 0.0856095 | − | 0.148280i | ||||
\(356\) | 4.43052e8i | 0.520451i | ||||||||
\(357\) | 3.24738e8 | + | 1.87488e8i | 0.377742 | + | 0.218089i | ||||
\(358\) | 6.77081e8 | + | 3.90913e8i | 0.779920 | + | 0.450287i | ||||
\(359\) | 5.73879e8i | 0.654621i | 0.944917 | + | 0.327310i | \(0.106142\pi\) | ||||
−0.944917 | + | 0.327310i | \(0.893858\pi\) | |||||||
\(360\) | 1.64297e7 | − | 2.84571e7i | 0.0185597 | − | 0.0321464i | ||||
\(361\) | 4.35717e8 | + | 7.54684e8i | 0.487449 | + | 0.844287i | ||||
\(362\) | 1.52710e7 | − | 8.81673e6i | 0.0169195 | − | 0.00976850i | ||||
\(363\) | 8.31323e8 | 0.912214 | ||||||||
\(364\) | −1.57029e8 | − | 1.57763e8i | −0.170657 | − | 0.171455i | ||||
\(365\) | −1.30687e8 | −0.140672 | ||||||||
\(366\) | −8.90759e8 | + | 5.14280e8i | −0.949678 | + | 0.548297i | ||||
\(367\) | −6.47182e8 | − | 1.12095e9i | −0.683432 | − | 1.18374i | −0.973927 | − | 0.226863i | \(-0.927153\pi\) |
0.290494 | − | 0.956877i | \(-0.406180\pi\) | |||||||
\(368\) | −7.97980e6 | + | 1.38214e7i | −0.00834689 | + | 0.0144572i | ||||
\(369\) | − | 3.39682e8i | − | 0.351950i | ||||||
\(370\) | 1.50556e7 | + | 8.69237e6i | 0.0154523 | + | 0.00892138i | ||||
\(371\) | −6.11943e7 | − | 3.53305e7i | −0.0622160 | − | 0.0359204i | ||||
\(372\) | 7.23973e8i | 0.729159i | ||||||||
\(373\) | 1.00692e8 | − | 1.74403e8i | 0.100465 | − | 0.174010i | −0.811412 | − | 0.584475i | \(-0.801300\pi\) |
0.911876 | + | 0.410465i | \(0.134634\pi\) | |||||||
\(374\) | −1.36821e8 | − | 2.36981e8i | −0.135239 | − | 0.234241i | ||||
\(375\) | −2.58993e8 | + | 1.49530e8i | −0.253617 | + | 0.146426i | ||||
\(376\) | 1.72932e9 | 1.67772 | ||||||||
\(377\) | 4.36803e8 | − | 4.34770e8i | 0.419847 | − | 0.417893i | ||||
\(378\) | −1.91993e8 | −0.182837 | ||||||||
\(379\) | −8.39136e7 | + | 4.84475e7i | −0.0791763 | + | 0.0457125i | −0.539065 | − | 0.842264i | \(-0.681222\pi\) |
0.459889 | + | 0.887976i | \(0.347889\pi\) | |||||||
\(380\) | −6.25420e7 | − | 1.08326e8i | −0.0584695 | − | 0.101272i | ||||
\(381\) | 1.11444e9 | − | 1.93026e9i | 1.03233 | − | 1.78804i | ||||
\(382\) | − | 2.79561e8i | − | 0.256599i | ||||||
\(383\) | −7.16879e8 | − | 4.13890e8i | −0.652004 | − | 0.376435i | 0.137220 | − | 0.990541i | \(-0.456183\pi\) |
−0.789224 | + | 0.614106i | \(0.789517\pi\) | |||||||
\(384\) | 7.40741e8 | + | 4.27667e8i | 0.667586 | + | 0.385431i | ||||
\(385\) | − | 2.44150e7i | − | 0.0218044i | ||||||
\(386\) | −5.42155e8 | + | 9.39040e8i | −0.479809 | + | 0.831053i | ||||
\(387\) | −3.57018e7 | − | 6.18373e7i | −0.0313113 | − | 0.0542328i | ||||
\(388\) | 7.05008e8 | − | 4.07037e8i | 0.612750 | − | 0.353771i | ||||
\(389\) | −1.66954e9 | −1.43804 | −0.719022 | − | 0.694988i | \(-0.755410\pi\) | ||||
−0.719022 | + | 0.694988i | \(0.755410\pi\) | |||||||
\(390\) | −1.00191e8 | − | 2.70968e7i | −0.0855272 | − | 0.0231309i | ||||
\(391\) | −4.03514e8 | −0.341381 | ||||||||
\(392\) | 1.45183e8 | − | 8.38216e7i | 0.121735 | − | 0.0702837i | ||||
\(393\) | −4.17891e8 | − | 7.23809e8i | −0.347288 | − | 0.601520i | ||||
\(394\) | 2.72884e8 | − | 4.72649e8i | 0.224772 | − | 0.389316i | ||||
\(395\) | − | 1.33214e8i | − | 0.108758i | ||||||
\(396\) | 8.81893e7 | + | 5.09161e7i | 0.0713646 | + | 0.0412024i | ||||
\(397\) | −1.64345e9 | − | 9.48845e8i | −1.31822 | − | 0.761077i | −0.334781 | − | 0.942296i | \(-0.608662\pi\) |
−0.983443 | + | 0.181219i | \(0.941996\pi\) | |||||||
\(398\) | − | 5.09500e8i | − | 0.405092i | ||||||
\(399\) | 3.82754e8 | − | 6.62950e8i | 0.301658 | − | 0.522487i | ||||
\(400\) | −3.12596e7 | − | 5.41431e7i | −0.0244215 | − | 0.0422993i | ||||
\(401\) | −4.25968e8 | + | 2.45933e8i | −0.329892 | + | 0.190463i | −0.655793 | − | 0.754941i | \(-0.727666\pi\) |
0.325901 | + | 0.945404i | \(0.394332\pi\) | |||||||
\(402\) | 8.81898e8 | 0.677060 | ||||||||
\(403\) | 1.27373e9 | − | 3.38113e8i | 0.969415 | − | 0.257332i | ||||
\(404\) | 7.82376e8 | 0.590311 | ||||||||
\(405\) | 1.81527e8 | − | 1.04805e8i | 0.135784 | − | 0.0783949i | ||||
\(406\) | 9.05704e7 | + | 1.56873e8i | 0.0671654 | + | 0.116334i | ||||
\(407\) | −6.90260e7 | + | 1.19557e8i | −0.0507496 | + | 0.0879008i | ||||
\(408\) | 1.55778e9i | 1.13552i | ||||||||
\(409\) | 8.03221e8 | + | 4.63740e8i | 0.580502 | + | 0.335153i | 0.761333 | − | 0.648361i | \(-0.224545\pi\) |
−0.180831 | + | 0.983514i | \(0.557879\pi\) | |||||||
\(410\) | −1.14348e8 | − | 6.60191e7i | −0.0819382 | − | 0.0473071i | ||||
\(411\) | 2.31803e7i | 0.0164692i | ||||||||
\(412\) | 3.46679e8 | − | 6.00466e8i | 0.244224 | − | 0.423008i | ||||
\(413\) | 4.80606e8 | + | 8.32434e8i | 0.335710 | + | 0.581466i | ||||
\(414\) | −7.31384e7 | + | 4.22265e7i | −0.0506575 | + | 0.0292471i | ||||
\(415\) | 3.00474e8 | 0.206366 | ||||||||
\(416\) | 3.88624e8 | − | 1.43695e9i | 0.264669 | − | 0.978622i | ||||
\(417\) | 8.30268e8 | 0.560715 | ||||||||
\(418\) | −4.83795e8 | + | 2.79319e8i | −0.323999 | + | 0.187061i | ||||
\(419\) | −6.13211e8 | − | 1.06211e9i | −0.407250 | − | 0.705377i | 0.587331 | − | 0.809347i | \(-0.300179\pi\) |
−0.994580 | + | 0.103970i | \(0.966845\pi\) | |||||||
\(420\) | −2.71208e7 | + | 4.69745e7i | −0.0178620 | + | 0.0309378i | ||||
\(421\) | 1.05746e9i | 0.690682i | 0.938477 | + | 0.345341i | \(0.112237\pi\) | ||||
−0.938477 | + | 0.345341i | \(0.887763\pi\) | |||||||
\(422\) | −4.70491e8 | − | 2.71638e8i | −0.304760 | − | 0.175953i | ||||
\(423\) | −6.66951e8 | − | 3.85064e8i | −0.428452 | − | 0.247367i | ||||
\(424\) | − | 2.93551e8i | − | 0.187026i | ||||||
\(425\) | 7.90350e8 | − | 1.36893e9i | 0.499411 | − | 0.865005i | ||||
\(426\) | 7.16018e8 | + | 1.24018e9i | 0.448736 | + | 0.777233i | ||||
\(427\) | 8.47372e8 | − | 4.89230e8i | 0.526716 | − | 0.304099i | ||||
\(428\) | 7.51154e8 | 0.463101 | ||||||||
\(429\) | 2.15175e8 | − | 7.95618e8i | 0.131581 | − | 0.486524i | ||||
\(430\) | −2.77554e7 | −0.0168348 | ||||||||
\(431\) | −8.23697e8 | + | 4.75562e8i | −0.495561 | + | 0.286112i | −0.726879 | − | 0.686766i | \(-0.759030\pi\) |
0.231318 | + | 0.972878i | \(0.425696\pi\) | |||||||
\(432\) | 3.35623e7 | + | 5.81317e7i | 0.0200290 | + | 0.0346912i | ||||
\(433\) | −7.41846e8 | + | 1.28492e9i | −0.439143 | + | 0.760618i | −0.997624 | − | 0.0688993i | \(-0.978051\pi\) |
0.558480 | + | 0.829518i | \(0.311385\pi\) | |||||||
\(434\) | 3.87338e8i | 0.227445i | ||||||||
\(435\) | −1.30059e8 | − | 7.50899e7i | −0.0757582 | − | 0.0437390i | ||||
\(436\) | 1.83637e8 | + | 1.06023e8i | 0.106110 | + | 0.0612627i | ||||
\(437\) | 8.23769e8i | 0.472194i | ||||||||
\(438\) | 6.48344e8 | − | 1.12296e9i | 0.368677 | − | 0.638568i | ||||
\(439\) | −1.80616e8 | − | 3.12836e8i | −0.101890 | − | 0.176478i | 0.810574 | − | 0.585637i | \(-0.199156\pi\) |
−0.912463 | + | 0.409159i | \(0.865822\pi\) | |||||||
\(440\) | 8.78398e7 | − | 5.07144e7i | 0.0491595 | − | 0.0283822i | ||||
\(441\) | −7.46574e7 | −0.0414513 | ||||||||
\(442\) | 1.06958e9 | − | 2.83921e8i | 0.589162 | − | 0.156394i | ||||
\(443\) | −3.40048e9 | −1.85835 | −0.929173 | − | 0.369645i | \(-0.879479\pi\) | ||||
−0.929173 | + | 0.369645i | \(0.879479\pi\) | |||||||
\(444\) | 2.65612e8 | − | 1.53351e8i | 0.144015 | − | 0.0831471i | ||||
\(445\) | −9.82624e7 | − | 1.70195e8i | −0.0528600 | − | 0.0915562i | ||||
\(446\) | 5.87513e8 | − | 1.01760e9i | 0.313578 | − | 0.543133i | ||||
\(447\) | 1.39583e9i | 0.739190i | ||||||||
\(448\) | 3.47953e8 | + | 2.00891e8i | 0.182830 | + | 0.105557i | ||||
\(449\) | −1.98571e9 | − | 1.14645e9i | −1.03527 | − | 0.597713i | −0.116779 | − | 0.993158i | \(-0.537257\pi\) |
−0.918490 | + | 0.395445i | \(0.870590\pi\) | |||||||
\(450\) | − | 3.30831e8i | − | 0.171144i | ||||||
\(451\) | 5.24257e8 | − | 9.08039e8i | 0.269108 | − | 0.466108i | ||||
\(452\) | 3.28069e8 | + | 5.68231e8i | 0.167101 | + | 0.289428i | ||||
\(453\) | 2.41428e9 | − | 1.39389e9i | 1.22024 | − | 0.704504i | ||||
\(454\) | −1.54026e9 | −0.772503 | ||||||||
\(455\) | 9.53113e7 | + | 2.57770e7i | 0.0474356 | + | 0.0128290i | ||||
\(456\) | 3.18020e9 | 1.57064 | ||||||||
\(457\) | 1.58014e8 | − | 9.12297e7i | 0.0774444 | − | 0.0447125i | −0.460778 | − | 0.887516i | \(-0.652429\pi\) |
0.538222 | + | 0.842803i | \(0.319096\pi\) | |||||||
\(458\) | −7.94186e8 | − | 1.37557e9i | −0.386272 | − | 0.669043i | ||||
\(459\) | −8.48572e8 | + | 1.46977e9i | −0.409585 | + | 0.709422i | ||||
\(460\) | − | 5.83697e7i | − | 0.0279598i | ||||||
\(461\) | 1.14587e9 | + | 6.61569e8i | 0.544732 | + | 0.314501i | 0.746994 | − | 0.664830i | \(-0.231496\pi\) |
−0.202263 | + | 0.979331i | \(0.564830\pi\) | |||||||
\(462\) | 2.09793e8 | + | 1.21124e8i | 0.0989792 | + | 0.0571457i | ||||
\(463\) | − | 1.05511e8i | − | 0.0494042i | −0.999695 | − | 0.0247021i | \(-0.992136\pi\) | ||
0.999695 | − | 0.0247021i | \(-0.00786373\pi\) | |||||||
\(464\) | 3.16654e7 | − | 5.48460e7i | 0.0147154 | − | 0.0254878i | ||||
\(465\) | −1.60566e8 | − | 2.78109e8i | −0.0740576 | − | 0.128272i | ||||
\(466\) | −6.97706e8 | + | 4.02821e8i | −0.319390 | + | 0.184400i | ||||
\(467\) | −2.92016e9 | −1.32678 | −0.663389 | − | 0.748275i | \(-0.730882\pi\) | ||||
−0.663389 | + | 0.748275i | \(0.730882\pi\) | |||||||
\(468\) | −2.91875e8 | + | 2.90517e8i | −0.131624 | + | 0.131012i | ||||
\(469\) | −8.38942e8 | −0.375515 | ||||||||
\(470\) | −2.59251e8 | + | 1.49679e8i | −0.115180 | + | 0.0664993i | ||||
\(471\) | −2.18421e9 | − | 3.78315e9i | −0.963208 | − | 1.66833i | ||||
\(472\) | −1.99661e9 | + | 3.45823e9i | −0.873969 | + | 1.51376i | ||||
\(473\) | − | 2.20405e8i | − | 0.0957651i | ||||||
\(474\) | 1.14468e9 | + | 6.60880e8i | 0.493695 | + | 0.285035i | ||||
\(475\) | −2.79465e9 | − | 1.61349e9i | −1.19646 | − | 0.690778i | ||||
\(476\) | − | 5.78324e8i | − | 0.245780i | ||||||
\(477\) | −6.53643e7 | + | 1.13214e8i | −0.0275757 | + | 0.0477625i | ||||
\(478\) | 1.26816e9 | + | 2.19652e9i | 0.531101 | + | 0.919894i | ||||
\(479\) | −1.02522e9 | + | 5.91912e8i | −0.426229 | + | 0.246084i | −0.697739 | − | 0.716352i | \(-0.745810\pi\) |
0.271510 | + | 0.962436i | \(0.412477\pi\) | |||||||
\(480\) | −3.62737e8 | −0.149709 | ||||||||
\(481\) | −3.93848e8 | − | 3.95689e8i | −0.161369 | − | 0.162124i | ||||
\(482\) | −3.00989e8 | −0.122430 | ||||||||
\(483\) | 3.09361e8 | − | 1.78610e8i | 0.124926 | − | 0.0721258i | ||||
\(484\) | −6.41075e8 | − | 1.11037e9i | −0.257010 | − | 0.445154i | ||||
\(485\) | −1.80549e8 | + | 3.12721e8i | −0.0718621 | + | 0.124469i | ||||
\(486\) | 8.55598e8i | 0.338098i | ||||||||
\(487\) | 8.76757e8 | + | 5.06196e8i | 0.343976 | + | 0.198594i | 0.662029 | − | 0.749478i | \(-0.269696\pi\) |
−0.318053 | + | 0.948073i | \(0.603029\pi\) | |||||||
\(488\) | 3.52028e9 | + | 2.03244e9i | 1.37122 | + | 0.791676i | ||||
\(489\) | 5.40911e8i | 0.209192i | ||||||||
\(490\) | −1.45101e7 | + | 2.51322e7i | −0.00557165 | + | 0.00965037i | ||||
\(491\) | −1.81996e9 | − | 3.15226e9i | −0.693868 | − | 1.20181i | −0.970561 | − | 0.240856i | \(-0.922572\pi\) |
0.276693 | − | 0.960958i | \(-0.410761\pi\) | |||||||
\(492\) | −2.01734e9 | + | 1.16471e9i | −0.763662 | + | 0.440901i | ||||
\(493\) | 1.60122e9 | 0.601848 | ||||||||
\(494\) | −5.79621e8 | − | 2.18353e9i | −0.216322 | − | 0.814921i | ||||
\(495\) | −4.51698e7 | −0.0167390 | ||||||||
\(496\) | 1.17279e8 | − | 6.77108e7i | 0.0431552 | − | 0.0249157i | ||||
\(497\) | −6.81142e8 | − | 1.17977e9i | −0.248880 | − | 0.431073i | ||||
\(498\) | −1.49066e9 | + | 2.58191e9i | −0.540850 | + | 0.936780i | ||||
\(499\) | 2.45454e9i | 0.884337i | 0.896932 | + | 0.442168i | \(0.145791\pi\) | ||||
−0.896932 | + | 0.442168i | \(0.854209\pi\) | |||||||
\(500\) | 3.99444e8 | + | 2.30619e8i | 0.142910 | + | 0.0825089i | ||||
\(501\) | 3.46937e9 | + | 2.00304e9i | 1.23259 | + | 0.711636i | ||||
\(502\) | 6.42270e8i | 0.226597i | ||||||||
\(503\) | 1.34776e9 | − | 2.33438e9i | 0.472197 | − | 0.817869i | −0.527297 | − | 0.849681i | \(-0.676794\pi\) |
0.999494 | + | 0.0318120i | \(0.0101278\pi\) | |||||||
\(504\) | −1.55077e8 | − | 2.68601e8i | −0.0539560 | − | 0.0934546i | ||||
\(505\) | −3.00545e8 | + | 1.73520e8i | −0.103846 | + | 0.0599554i | ||||
\(506\) | −2.60685e8 | −0.0894518 | ||||||||
\(507\) | 2.87875e9 | + | 1.68000e9i | 0.981016 | + | 0.572508i | ||||
\(508\) | −3.43759e9 | −1.16340 | ||||||||
\(509\) | −3.19621e9 | + | 1.84533e9i | −1.07429 | + | 0.620244i | −0.929352 | − | 0.369195i | \(-0.879633\pi\) |
−0.144943 | + | 0.989440i | \(0.546300\pi\) | |||||||
\(510\) | −1.34831e8 | − | 2.33534e8i | −0.0450085 | − | 0.0779571i | ||||
\(511\) | −6.16765e8 | + | 1.06827e9i | −0.204478 | + | 0.354166i | ||||
\(512\) | − | 3.01435e8i | − | 0.0992540i | ||||||
\(513\) | 3.00052e9 | + | 1.73235e9i | 0.981264 | + | 0.566533i | ||||
\(514\) | 2.12413e9 | + | 1.22637e9i | 0.689939 | + | 0.398336i | ||||
\(515\) | 3.07554e8i | 0.0992191i | ||||||||
\(516\) | −2.44831e8 | + | 4.24059e8i | −0.0784498 | + | 0.135879i | ||||
\(517\) | −1.18860e9 | − | 2.05871e9i | −0.378283 | − | 0.655206i | ||||
\(518\) | 1.42107e8 | − | 8.20456e7i | 0.0449223 | − | 0.0259359i | ||||
\(519\) | 1.35573e9 | 0.425683 | ||||||||
\(520\) | 1.05239e8 | + | 3.96452e8i | 0.0328219 | + | 0.123646i | ||||
\(521\) | 1.15922e9 | 0.359114 | 0.179557 | − | 0.983748i | \(-0.442534\pi\) | ||||
0.179557 | + | 0.983748i | \(0.442534\pi\) | |||||||
\(522\) | 2.90227e8 | − | 1.67563e8i | 0.0893081 | − | 0.0515621i | ||||
\(523\) | 5.66698e8 | + | 9.81550e8i | 0.173219 | + | 0.300024i | 0.939544 | − | 0.342430i | \(-0.111250\pi\) |
−0.766324 | + | 0.642454i | \(0.777916\pi\) | |||||||
\(524\) | −6.44514e8 | + | 1.11633e9i | −0.195692 | + | 0.338948i | ||||
\(525\) | 1.39935e9i | 0.422055i | ||||||||
\(526\) | −8.82012e8 | − | 5.09230e8i | −0.264256 | − | 0.152568i | ||||
\(527\) | 2.96521e9 | + | 1.71196e9i | 0.882507 | + | 0.509515i | ||||
\(528\) | − | 8.46951e7i | − | 0.0250403i | ||||||
\(529\) | 1.51021e9 | − | 2.61576e9i | 0.443550 | − | 0.768251i | ||||
\(530\) | 2.54078e7 | + | 4.40076e7i | 0.00741313 | + | 0.0128399i | ||||
\(531\) | 1.54007e9 | − | 8.89160e8i | 0.446385 | − | 0.257721i | ||||
\(532\) | −1.18064e9 | −0.339960 | ||||||||
\(533\) | 2.99130e9 | + | 3.00528e9i | 0.855685 | + | 0.859686i | ||||
\(534\) | 1.94994e9 | 0.554148 | ||||||||
\(535\) | −2.88551e8 | + | 1.66595e8i | −0.0814674 | + | 0.0470352i | ||||
\(536\) | −1.74263e9 | − | 3.01833e9i | −0.488798 | − | 0.846622i | ||||
\(537\) | −3.05909e9 | + | 5.29849e9i | −0.852475 | + | 1.47653i | ||||
\(538\) | 1.86858e9i | 0.517336i | ||||||||
\(539\) | −1.99574e8 | − | 1.15224e8i | −0.0548964 | − | 0.0316945i | ||||
\(540\) | −2.12607e8 | − | 1.22749e8i | −0.0581032 | − | 0.0335459i | ||||
\(541\) | 5.42076e9i | 1.47187i | 0.677052 | + | 0.735935i | \(0.263257\pi\) | ||||
−0.677052 | + | 0.735935i | \(0.736743\pi\) | |||||||
\(542\) | −1.51304e9 | + | 2.62066e9i | −0.408181 | + | 0.706991i | ||||
\(543\) | 6.89953e7 | + | 1.19503e8i | 0.0184935 | + | 0.0320317i | ||||
\(544\) | 3.34936e9 | − | 1.93376e9i | 0.892003 | − | 0.514998i | ||||
\(545\) | −9.40571e7 | −0.0248888 | ||||||||
\(546\) | −6.94339e8 | + | 6.91108e8i | −0.182557 | + | 0.181707i | ||||
\(547\) | −5.06201e8 | −0.132242 | −0.0661208 | − | 0.997812i | \(-0.521062\pi\) | ||||
−0.0661208 | + | 0.997812i | \(0.521062\pi\) | |||||||
\(548\) | 3.09612e7 | − | 1.78755e7i | 0.00803686 | − | 0.00464008i | ||||
\(549\) | −9.05115e8 | − | 1.56771e9i | −0.233454 | − | 0.404354i | ||||
\(550\) | 5.10595e8 | − | 8.84377e8i | 0.130860 | − | 0.226656i | ||||
\(551\) | − | 3.26887e9i | − | 0.832468i | ||||||
\(552\) | 1.28520e9 | + | 7.42009e8i | 0.325224 | + | 0.187768i | ||||
\(553\) | −1.08892e9 | − | 6.28689e8i | −0.273816 | − | 0.158088i | ||||
\(554\) | 1.34517e9i | 0.336118i | ||||||||
\(555\) | −6.80221e7 | + | 1.17818e8i | −0.0168898 | + | 0.0292540i | ||||
\(556\) | −6.40261e8 | − | 1.10896e9i | −0.157977 | − | 0.273625i | ||||
\(557\) | 2.44574e8 | − | 1.41205e8i | 0.0599677 | − | 0.0346224i | −0.469716 | − | 0.882817i | \(-0.655644\pi\) |
0.529684 | + | 0.848195i | \(0.322310\pi\) | |||||||
\(558\) | 7.16607e8 | 0.174607 | ||||||||
\(559\) | 8.60415e8 | + | 2.32700e8i | 0.208337 | + | 0.0563449i | ||||
\(560\) | 1.01461e7 | 0.00244140 | ||||||||
\(561\) | 1.85449e9 | − | 1.07069e9i | 0.443461 | − | 0.256032i | ||||
\(562\) | −2.74659e8 | − | 4.75724e8i | −0.0652705 | − | 0.113052i | ||||
\(563\) | −1.89761e9 | + | 3.28676e9i | −0.448155 | + | 0.776227i | −0.998266 | − | 0.0588645i | \(-0.981252\pi\) |
0.550111 | + | 0.835091i | \(0.314585\pi\) | |||||||
\(564\) | 5.28128e9i | 1.23954i | ||||||||
\(565\) | −2.52051e8 | − | 1.45522e8i | −0.0587920 | − | 0.0339436i | ||||
\(566\) | −3.21401e9 | − | 1.85561e9i | −0.745057 | − | 0.430159i | ||||
\(567\) | − | 1.97846e9i | − | 0.455813i | ||||||
\(568\) | 2.82971e9 | − | 4.90120e9i | 0.647922 | − | 1.12223i | ||||
\(569\) | −2.37267e9 | − | 4.10959e9i | −0.539939 | − | 0.935203i | −0.998907 | − | 0.0467494i | \(-0.985114\pi\) |
0.458967 | − | 0.888453i | \(-0.348220\pi\) | |||||||
\(570\) | −4.76758e8 | + | 2.75257e8i | −0.107829 | + | 0.0622552i | ||||
\(571\) | 7.66712e9 | 1.72348 | 0.861739 | − | 0.507352i | \(-0.169376\pi\) | ||||
0.861739 | + | 0.507352i | \(0.169376\pi\) | |||||||
\(572\) | −1.22862e9 | + | 3.26137e8i | −0.274492 | + | 0.0728642i | ||||
\(573\) | 2.18770e9 | 0.485789 | ||||||||
\(574\) | −1.07931e9 | + | 6.23141e8i | −0.238207 | + | 0.137529i | ||||
\(575\) | −7.52925e8 | − | 1.30410e9i | −0.165164 | − | 0.286072i | ||||
\(576\) | 3.71664e8 | − | 6.43741e8i | 0.0810348 | − | 0.140356i | ||||
\(577\) | 6.00431e9i | 1.30121i | 0.759416 | + | 0.650605i | \(0.225485\pi\) | ||||
−0.759416 | + | 0.650605i | \(0.774515\pi\) | |||||||
\(578\) | 7.77828e7 | + | 4.49079e7i | 0.0167547 | + | 0.00967331i | ||||
\(579\) | −7.34845e9 | − | 4.24263e9i | −1.57333 | − | 0.908365i | ||||
\(580\) | 2.31622e8i | 0.0492926i | ||||||||
\(581\) | 1.41806e9 | − | 2.45615e9i | 0.299969 | − | 0.519562i | ||||
\(582\) | −1.79143e9 | − | 3.10284e9i | −0.376677 | − | 0.652423i | ||||
\(583\) | −3.49464e8 | + | 2.01763e8i | −0.0730403 | + | 0.0421698i | ||||
\(584\) | −5.12452e9 | −1.06465 | ||||||||
\(585\) | 4.76895e7 | − | 1.76334e8i | 0.00984866 | − | 0.0364158i | ||||
\(586\) | 3.03497e9 | 0.623036 | ||||||||
\(587\) | −3.54048e9 | + | 2.04410e9i | −0.722485 | + | 0.417127i | −0.815667 | − | 0.578522i | \(-0.803630\pi\) |
0.0931817 | + | 0.995649i | \(0.470296\pi\) | |||||||
\(588\) | 2.55988e8 | + | 4.43383e8i | 0.0519276 | + | 0.0899412i | ||||
\(589\) | 3.49496e9 | − | 6.05344e9i | 0.704755 | − | 1.22067i | ||||
\(590\) | − | 6.91252e8i | − | 0.138565i | ||||||
\(591\) | 3.69871e9 | + | 2.13545e9i | 0.737045 | + | 0.425533i | ||||
\(592\) | −4.96837e7 | − | 2.86849e7i | −0.00984210 | − | 0.00568234i | ||||
\(593\) | 2.22639e9i | 0.438439i | 0.975676 | + | 0.219219i | \(0.0703511\pi\) | ||||
−0.975676 | + | 0.219219i | \(0.929649\pi\) | |||||||
\(594\) | −5.48209e8 | + | 9.49526e8i | −0.107323 | + | 0.185889i | ||||
\(595\) | 1.28264e8 | + | 2.22159e8i | 0.0249629 | + | 0.0432370i | ||||
\(596\) | 1.86437e9 | − | 1.07639e9i | 0.360719 | − | 0.208261i | ||||
\(597\) | 3.98709e9 | 0.766913 | ||||||||
\(598\) | 2.75227e8 | − | 1.01766e9i | 0.0526304 | − | 0.194602i | ||||
\(599\) | −6.27832e8 | −0.119357 | −0.0596787 | − | 0.998218i | \(-0.519008\pi\) | ||||
−0.0596787 | + | 0.998218i | \(0.519008\pi\) | |||||||
\(600\) | −5.03455e9 | + | 2.90670e9i | −0.951550 | + | 0.549377i | ||||
\(601\) | 8.69085e8 | + | 1.50530e9i | 0.163306 | + | 0.282854i | 0.936052 | − | 0.351861i | \(-0.114451\pi\) |
−0.772746 | + | 0.634715i | \(0.781118\pi\) | |||||||
\(602\) | −1.30989e8 | + | 2.26879e8i | −0.0244707 | + | 0.0423845i | ||||
\(603\) | 1.55211e9i | 0.288279i | ||||||||
\(604\) | −3.72354e9 | − | 2.14979e9i | −0.687586 | − | 0.396978i | ||||
\(605\) | 4.92529e8 | + | 2.84362e8i | 0.0904249 | + | 0.0522068i | ||||
\(606\) | − | 3.44335e9i | − | 0.628532i | ||||||
\(607\) | −3.81614e9 | + | 6.60974e9i | −0.692570 | + | 1.19957i | 0.278424 | + | 0.960458i | \(0.410188\pi\) |
−0.970993 | + | 0.239107i | \(0.923145\pi\) | |||||||
\(608\) | −3.94774e9 | − | 6.83769e9i | −0.712338 | − | 1.23381i | ||||
\(609\) | −1.22761e9 | + | 7.08758e8i | −0.220241 | + | 0.127156i | ||||
\(610\) | −7.03656e8 | −0.125518 | ||||||||
\(611\) | 9.29167e9 | − | 2.46648e9i | 1.64797 | − | 0.437456i | ||||
\(612\) | −1.06995e9 | −0.188683 | ||||||||
\(613\) | −8.26409e9 | + | 4.77128e9i | −1.44905 | + | 0.836610i | −0.998425 | − | 0.0561036i | \(-0.982132\pi\) |
−0.450625 | + | 0.892713i | \(0.648799\pi\) | |||||||
\(614\) | −2.04662e9 | − | 3.54485e9i | −0.356818 | − | 0.618028i | ||||
\(615\) | 5.16632e8 | − | 8.94833e8i | 0.0895609 | − | 0.155124i | ||||
\(616\) | − | 9.57366e8i | − | 0.165023i | ||||||
\(617\) | 1.41602e9 | + | 8.17540e8i | 0.242701 | + | 0.140123i | 0.616417 | − | 0.787420i | \(-0.288583\pi\) |
−0.373717 | + | 0.927543i | \(0.621917\pi\) | |||||||
\(618\) | −2.64274e9 | − | 1.52579e9i | −0.450396 | − | 0.260036i | ||||
\(619\) | − | 6.56838e9i | − | 1.11312i | −0.830808 | − | 0.556559i | \(-0.812121\pi\) | ||
0.830808 | − | 0.556559i | \(-0.187879\pi\) | |||||||
\(620\) | −2.47642e8 | + | 4.28928e8i | −0.0417304 | + | 0.0722792i | ||||
\(621\) | 8.08391e8 | + | 1.40017e9i | 0.135457 | + | 0.234618i | ||||
\(622\) | −1.46253e7 | + | 8.44391e6i | −0.00243690 | + | 0.00140694i | ||||
\(623\) | −1.85496e9 | −0.307345 | ||||||||
\(624\) | 3.30632e8 | + | 8.94197e7i | 0.0544753 | + | 0.0147329i | ||||
\(625\) | 5.79576e9 | 0.949577 | ||||||||
\(626\) | −5.15638e9 | + | 2.97704e9i | −0.840107 | + | 0.485036i | ||||
\(627\) | −2.18581e9 | − | 3.78593e9i | −0.354141 | − | 0.613389i | ||||
\(628\) | −3.36870e9 | + | 5.83476e9i | −0.542754 | + | 0.940078i | ||||
\(629\) | − | 1.45051e9i | − | 0.232403i | ||||||
\(630\) | 4.64966e7 | + | 2.68448e7i | 0.00740848 | + | 0.00427729i | ||||
\(631\) | −3.66874e7 | − | 2.11815e7i | −0.00581318 | − | 0.00335624i | 0.497091 | − | 0.867699i | \(-0.334402\pi\) |
−0.502904 | + | 0.864342i | \(0.667735\pi\) | |||||||
\(632\) | − | 5.22360e9i | − | 0.823114i | ||||||
\(633\) | 2.12570e9 | − | 3.68182e9i | 0.333111 | − | 0.576966i | ||||
\(634\) | −2.70799e9 | − | 4.69038e9i | −0.422022 | − | 0.730964i | ||||
\(635\) | 1.32053e9 | − | 7.62406e8i | 0.204663 | − | 0.118162i | ||||
\(636\) | 8.96492e8 | 0.138180 | ||||||||
\(637\) | 6.60519e8 | − | 6.57445e8i | 0.101251 | − | 0.100779i | ||||
\(638\) | 1.03445e9 | 0.157702 | ||||||||
\(639\) | −2.18268e9 | + | 1.26017e9i | −0.330930 | + | 0.191063i | ||||
\(640\) | 2.92575e8 | + | 5.06755e8i | 0.0441171 | + | 0.0764131i | ||||
\(641\) | −2.84933e9 | + | 4.93519e9i | −0.427307 | + | 0.740118i | −0.996633 | − | 0.0819945i | \(-0.973871\pi\) |
0.569326 | + | 0.822112i | \(0.307204\pi\) | |||||||
\(642\) | − | 3.30594e9i | − | 0.493085i | ||||||
\(643\) | −6.56045e9 | − | 3.78768e9i | −0.973184 | − | 0.561868i | −0.0729788 | − | 0.997333i | \(-0.523251\pi\) |
−0.900206 | + | 0.435465i | \(0.856584\pi\) | |||||||
\(644\) | −4.77128e8 | − | 2.75470e8i | −0.0703938 | − | 0.0406419i | ||||
\(645\) | − | 2.17199e8i | − | 0.0318713i | ||||||
\(646\) | 2.93479e9 | − | 5.08321e9i | 0.428315 | − | 0.741863i | ||||
\(647\) | 6.71265e9 | + | 1.16267e10i | 0.974382 | + | 1.68768i | 0.681959 | + | 0.731390i | \(0.261128\pi\) |
0.292423 | + | 0.956289i | \(0.405538\pi\) | |||||||
\(648\) | 7.11805e9 | − | 4.10961e9i | 1.02766 | − | 0.593319i | ||||
\(649\) | 5.48922e9 | 0.788233 | ||||||||
\(650\) | 2.91335e9 | + | 2.92697e9i | 0.416098 | + | 0.418043i | ||||
\(651\) | −3.03111e9 | −0.430594 | ||||||||
\(652\) | 7.22478e8 | − | 4.17123e8i | 0.102084 | − | 0.0589383i | ||||
\(653\) | −2.54242e9 | − | 4.40359e9i | −0.357314 | − | 0.618887i | 0.630197 | − | 0.776435i | \(-0.282974\pi\) |
−0.987511 | + | 0.157549i | \(0.949641\pi\) | |||||||
\(654\) | 4.66621e8 | − | 8.08212e8i | 0.0652293 | − | 0.112980i | ||||
\(655\) | − | 5.71774e8i | − | 0.0795024i | ||||||
\(656\) | 3.77351e8 | + | 2.17863e8i | 0.0521893 | + | 0.0301315i | ||||
\(657\) | 1.97638e9 | + | 1.14106e9i | 0.271889 | + | 0.156975i | ||||
\(658\) | 2.82557e9i | 0.386648i | ||||||||
\(659\) | −2.99843e9 | + | 5.19343e9i | −0.408126 | + | 0.706895i | −0.994680 | − | 0.103015i | \(-0.967151\pi\) |
0.586554 | + | 0.809910i | \(0.300484\pi\) | |||||||
\(660\) | 1.54879e8 | + | 2.68259e8i | 0.0209696 | + | 0.0363204i | ||||
\(661\) | 5.82679e9 | − | 3.36410e9i | 0.784737 | − | 0.453068i | −0.0533697 | − | 0.998575i | \(-0.516996\pi\) |
0.838106 | + | 0.545507i | \(0.183663\pi\) | |||||||
\(662\) | 7.89666e8 | 0.105789 | ||||||||
\(663\) | 2.22182e9 | + | 8.36998e9i | 0.296082 | + | 1.11539i | ||||
\(664\) | 1.17822e10 | 1.56185 | ||||||||
\(665\) | 4.53536e8 | − | 2.61849e8i | 0.0598048 | − | 0.0345283i | ||||
\(666\) | −1.51791e8 | − | 2.62910e8i | −0.0199107 | − | 0.0344863i | ||||
\(667\) | 7.62699e8 | − | 1.32103e9i | 0.0995206 | − | 0.172375i | ||||
\(668\) | − | 6.17858e9i | − | 0.801993i | ||||||
\(669\) | 7.96324e9 | + | 4.59758e9i | 1.02825 | + | 0.593660i | ||||
\(670\) | 5.22493e8 | + | 3.01661e8i | 0.0671148 | + | 0.0387488i | ||||
\(671\) | − | 5.58773e9i | − | 0.714013i | ||||||
\(672\) | −1.71190e9 | + | 2.96510e9i | −0.217614 | + | 0.376918i | ||||
\(673\) | −9.85550e7 | − | 1.70702e8i | −0.0124631 | − | 0.0215867i | 0.859727 | − | 0.510755i | \(-0.170634\pi\) |
−0.872190 | + | 0.489168i | \(0.837301\pi\) | |||||||
\(674\) | 6.15332e9 | − | 3.55262e9i | 0.774105 | − | 0.446930i | ||||
\(675\) | −6.33348e9 | −0.792646 | ||||||||
\(676\) | 2.39799e7 | − | 5.14059e9i | 0.00298561 | − | 0.640029i | ||||
\(677\) | 8.53881e9 | 1.05764 | 0.528819 | − | 0.848735i | \(-0.322635\pi\) | ||||
0.528819 | + | 0.848735i | \(0.322635\pi\) | |||||||
\(678\) | 2.50087e9 | − | 1.44388e9i | 0.308168 | − | 0.177921i | ||||
\(679\) | 1.70417e9 | + | 2.95171e9i | 0.208915 | + | 0.361851i | ||||
\(680\) | −5.32853e8 | + | 9.22929e8i | −0.0649870 | + | 0.112561i | ||||
\(681\) | − | 1.20533e10i | − | 1.46249i | ||||||
\(682\) | 1.91563e9 | + | 1.10599e9i | 0.231242 | + | 0.133508i | ||||
\(683\) | −6.50645e9 | − | 3.75650e9i | −0.781397 | − | 0.451140i | 0.0555282 | − | 0.998457i | \(-0.482316\pi\) |
−0.836925 | + | 0.547317i | \(0.815649\pi\) | |||||||
\(684\) | 2.18429e9i | 0.260984i | ||||||||
\(685\) | −7.92903e6 | + | 1.37335e7i | −0.000942547 | + | 0.00163254i | ||||
\(686\) | 1.36958e8 | + | 2.37218e8i | 0.0161977 | + | 0.0280552i | ||||
\(687\) | 1.07645e10 | − | 6.21490e9i | 1.26662 | − | 0.731283i | ||||
\(688\) | 9.15929e7 | 0.0107227 | ||||||||
\(689\) | −4.18683e8 | − | 1.57725e9i | −0.0487662 | − | 0.183711i | ||||
\(690\) | −2.56893e8 | −0.0297702 | ||||||||
\(691\) | −1.13960e10 | + | 6.57948e9i | −1.31395 | + | 0.758610i | −0.982748 | − | 0.184950i | \(-0.940788\pi\) |
−0.331203 | + | 0.943560i | \(0.607454\pi\) | |||||||
\(692\) | −1.04547e9 | − | 1.81080e9i | −0.119933 | − | 0.207730i | ||||
\(693\) | −2.13174e8 | + | 3.69229e8i | −0.0243315 | + | 0.0421434i | ||||
\(694\) | 6.93931e9i | 0.788058i | ||||||||
\(695\) | 4.91904e8 | + | 2.84001e8i | 0.0555819 | + | 0.0320902i | ||||
\(696\) | −5.09991e9 | − | 2.94443e9i | −0.573364 | − | 0.331032i | ||||
\(697\) | 1.10167e10i | 1.23236i | ||||||||
\(698\) | 1.48648e9 | − | 2.57466e9i | 0.165450 | − | 0.286567i | ||||
\(699\) | −3.15227e9 | − | 5.45989e9i | −0.349103 | − | 0.604664i | ||||
\(700\) | 1.86907e9 | − | 1.07911e9i | 0.205960 | − | 0.118911i | ||||
\(701\) | 1.17809e10 | 1.29171 | 0.645855 | − | 0.763460i | \(-0.276501\pi\) | ||||
0.645855 | + | 0.763460i | \(0.276501\pi\) | |||||||
\(702\) | −3.12796e9 | − | 3.14259e9i | −0.341257 | − | 0.342853i | ||||
\(703\) | −2.96119e9 | −0.321457 | ||||||||
\(704\) | 1.98707e9 | − | 1.14723e9i | 0.214639 | − | 0.123922i | ||||
\(705\) | −1.17131e9 | − | 2.02877e9i | −0.125895 | − | 0.218057i | ||||
\(706\) | −1.38080e9 | + | 2.39161e9i | −0.147677 | + | 0.255784i | ||||
\(707\) | 3.27563e9i | 0.348600i | ||||||||
\(708\) | −1.05613e10 | − | 6.09755e9i | −1.11841 | − | 0.645713i | ||||
\(709\) | 2.01739e9 | + | 1.16474e9i | 0.212582 | + | 0.122734i | 0.602511 | − | 0.798111i | \(-0.294167\pi\) |
−0.389929 | + | 0.920845i | \(0.627500\pi\) | |||||||
\(710\) | 9.79683e8i | 0.102726i | ||||||||
\(711\) | −1.16313e9 | + | 2.01459e9i | −0.121362 | + | 0.210205i | ||||
\(712\) | −3.85308e9 | − | 6.67373e9i | −0.400062 | − | 0.692928i | ||||
\(713\) | 2.82480e9 | − | 1.63090e9i | 0.291860 | − | 0.168505i | ||||
\(714\) | −2.54529e9 | −0.261694 | ||||||||
\(715\) | 3.99632e8 | − | 3.97772e8i | 0.0408874 | − | 0.0406971i | ||||
\(716\) | 9.43605e9 | 0.960715 | ||||||||
\(717\) | −1.71889e10 | + | 9.92400e9i | −1.74153 | + | 1.00547i | ||||
\(718\) | −1.94771e9 | − | 3.37354e9i | −0.196376 | − | 0.340134i | ||||
\(719\) | 5.98791e8 | − | 1.03714e9i | 0.0600792 | − | 0.104060i | −0.834421 | − | 0.551127i | \(-0.814198\pi\) |
0.894501 | + | 0.447067i | \(0.147531\pi\) | |||||||
\(720\) | − | 1.87711e7i | − | 0.00187424i | ||||||
\(721\) | 2.51402e9 | + | 1.45147e9i | 0.249801 | + | 0.144223i | ||||
\(722\) | −5.12271e9 | − | 2.95760e9i | −0.506547 | − | 0.292455i | ||||
\(723\) | − | 2.35539e9i | − | 0.231781i | ||||||
\(724\) | 1.06411e8 | − | 1.84310e8i | 0.0104208 | − | 0.0180494i | ||||
\(725\) | 2.98775e9 | + | 5.17494e9i | 0.291180 | + | 0.504338i | ||||
\(726\) | −4.88692e9 | + | 2.82146e9i | −0.473976 | + | 0.273650i | ||||
\(727\) | 3.65324e9 | 0.352621 | 0.176310 | − | 0.984335i | \(-0.443584\pi\) | ||||
0.176310 | + | 0.984335i | \(0.443584\pi\) | |||||||
\(728\) | 3.73736e9 | + | 1.01077e9i | 0.359009 | + | 0.0970941i | ||||
\(729\) | 5.91936e9 | 0.565886 | ||||||||
\(730\) | 7.68241e8 | − | 4.43544e8i | 0.0730916 | − | 0.0421994i | ||||
\(731\) | 1.15789e9 | + | 2.00553e9i | 0.109637 | + | 0.189897i | ||||
\(732\) | −6.20697e9 | + | 1.07508e10i | −0.584913 | + | 1.01310i | ||||
\(733\) | − | 1.33241e10i | − | 1.24961i | −0.780782 | − | 0.624803i | \(-0.785179\pi\) | ||
0.780782 | − | 0.624803i | \(-0.214821\pi\) | |||||||
\(734\) | 7.60890e9 | + | 4.39300e9i | 0.710208 | + | 0.410039i | ||||
\(735\) | −1.96672e8 | − | 1.13549e8i | −0.0182699 | − | 0.0105481i | ||||
\(736\) | − | 3.68438e9i | − | 0.340637i | ||||||
\(737\) | −2.39549e9 | + | 4.14911e9i | −0.220423 | + | 0.381785i | ||||
\(738\) | 1.15286e9 | + | 1.99681e9i | 0.105580 | + | 0.182869i | ||||
\(739\) | −1.30589e10 | + | 7.53959e9i | −1.19029 | + | 0.687214i | −0.958372 | − | 0.285522i | \(-0.907833\pi\) |
−0.231917 | + | 0.972736i | \(0.574500\pi\) | |||||||
\(740\) | 2.09821e8 | 0.0190343 | ||||||||
\(741\) | 1.70872e10 | − | 4.53582e9i | 1.54279 | − | 0.409536i | ||||
\(742\) | 4.79639e8 | 0.0431023 | ||||||||
\(743\) | −1.27581e10 | + | 7.36591e9i | −1.14111 | + | 0.658818i | −0.946704 | − | 0.322104i | \(-0.895610\pi\) |
−0.194402 | + | 0.980922i | \(0.562277\pi\) | |||||||
\(744\) | −6.29616e9 | − | 1.09053e10i | −0.560493 | − | 0.970802i | ||||
\(745\) | −4.77456e8 | + | 8.26978e8i | −0.0423045 | + | 0.0732735i | ||||
\(746\) | 1.36697e9i | 0.120551i | ||||||||
\(747\) | −4.54407e9 | − | 2.62352e9i | −0.398862 | − | 0.230283i | ||||
\(748\) | −2.86018e9 | − | 1.65133e9i | −0.249884 | − | 0.144271i | ||||
\(749\) | 3.14491e9i | 0.273478i | ||||||||
\(750\) | 1.01499e9 | − | 1.75801e9i | 0.0878511 | − | 0.152163i | ||||
\(751\) | −8.50451e9 | − | 1.47302e10i | −0.732672 | − | 1.26903i | −0.955737 | − | 0.294222i | \(-0.904940\pi\) |
0.223065 | − | 0.974804i | \(-0.428394\pi\) | |||||||
\(752\) | 8.55530e8 | − | 4.93941e8i | 0.0733623 | − | 0.0423558i | ||||
\(753\) | −5.02608e9 | −0.428990 | ||||||||
\(754\) | −1.09215e9 | + | 4.03827e9i | −0.0927862 | + | 0.343080i | ||||
\(755\) | 1.90717e9 | 0.161278 | ||||||||
\(756\) | −2.00676e9 | + | 1.15860e9i | −0.168915 | + | 0.0975233i | ||||
\(757\) | 7.30793e9 | + | 1.26577e10i | 0.612292 | + | 1.06052i | 0.990853 | + | 0.134945i | \(0.0430856\pi\) |
−0.378561 | + | 0.925576i | \(0.623581\pi\) | |||||||
\(758\) | 3.28856e8 | − | 5.69596e8i | 0.0274261 | − | 0.0475034i | ||||
\(759\) | − | 2.03999e9i | − | 0.169348i | ||||||
\(760\) | 1.88415e9 | + | 1.08781e9i | 0.155693 | + | 0.0898892i | ||||
\(761\) | −3.30821e9 | − | 1.91000e9i | −0.272112 | − | 0.157104i | 0.357735 | − | 0.933823i | \(-0.383549\pi\) |
−0.629847 | + | 0.776719i | \(0.716882\pi\) | |||||||
\(762\) | 1.51293e10i | 1.23873i | ||||||||
\(763\) | −4.43893e8 | + | 7.68846e8i | −0.0361778 | + | 0.0626619i | ||||
\(764\) | −1.68705e9 | − | 2.92205e9i | −0.136868 | − | 0.237062i | ||||
\(765\) | 4.11013e8 | − | 2.37298e8i | 0.0331925 | − | 0.0191637i | ||||
\(766\) | 5.61888e9 | 0.451699 | ||||||||
\(767\) | −5.79543e9 | + | 2.14288e10i | −0.463769 | + | 1.71480i | ||||
\(768\) | −1.37703e10 | −1.09693 | ||||||||
\(769\) | −9.05868e7 | + | 5.23003e7i | −0.00718328 | + | 0.00414727i | −0.503587 | − | 0.863944i | \(-0.667987\pi\) |
0.496404 | + | 0.868092i | \(0.334653\pi\) | |||||||
\(770\) | 8.28632e7 | + | 1.43523e8i | 0.00654100 | + | 0.0113293i | ||||
\(771\) | −9.59693e9 | + | 1.66224e10i | −0.754123 | + | 1.30618i | ||||
\(772\) | 1.30868e10i | 1.02370i | ||||||||
\(773\) | −1.46025e10 | − | 8.43079e9i | −1.13710 | − | 0.656508i | −0.191393 | − | 0.981514i | \(-0.561300\pi\) |
−0.945712 | + | 0.325006i | \(0.894634\pi\) | |||||||
\(774\) | 4.19745e8 | + | 2.42340e8i | 0.0325381 | + | 0.0187859i | ||||
\(775\) | 1.27776e10i | 0.986034i | ||||||||
\(776\) | −7.07973e9 | + | 1.22624e10i | −0.543877 | + | 0.942022i | ||||
\(777\) | 6.42047e8 | + | 1.11206e9i | 0.0491013 | + | 0.0850460i | ||||
\(778\) | 9.81433e9 | − | 5.66631e9i | 0.747192 | − | 0.431391i | ||||
\(779\) | 2.24904e10 | 1.70458 | ||||||||
\(780\) | −1.21075e9 | + | 3.21394e8i | −0.0913529 | + | 0.0242497i | ||||
\(781\) | −7.77964e9 | −0.584361 | ||||||||
\(782\) | 2.37205e9 | − | 1.36950e9i | 0.177378 | − | 0.102409i | ||||
\(783\) | −3.20785e9 | − | 5.55616e9i | −0.238807 | − | 0.413626i | ||||
\(784\) | 4.78834e7 | − | 8.29364e7i | 0.00354878 | − | 0.00614666i | ||||
\(785\) | − | 2.98851e9i | − | 0.220501i | ||||||
\(786\) | 4.91313e9 | + | 2.83660e9i | 0.360894 | + | 0.208362i | ||||
\(787\) | −1.93546e10 | − | 1.11744e10i | −1.41538 | − | 0.817169i | −0.419489 | − | 0.907760i | \(-0.637791\pi\) |
−0.995888 | + | 0.0905916i | \(0.971124\pi\) | |||||||
\(788\) | − | 6.58701e9i | − | 0.479564i | ||||||
\(789\) | 3.98497e9 | − | 6.90218e9i | 0.288839 | − | 0.500284i | ||||
\(790\) | 4.52120e8 | + | 7.83094e8i | 0.0326256 | + | 0.0565092i | ||||
\(791\) | −2.37906e9 | + | 1.37355e9i | −0.170918 | + | 0.0986794i | ||||
\(792\) | −1.77120e9 | −0.126687 | ||||||||
\(793\) | 2.18133e10 | + | 5.89943e9i | 1.55334 | + | 0.420101i | ||||
\(794\) | 1.28813e10 | 0.913246 | ||||||||
\(795\) | −3.44381e8 | + | 1.98829e8i | −0.0243083 | + | 0.0140344i | ||||
\(796\) | −3.07464e9 | − | 5.32544e9i | −0.216072 | − | 0.374248i | ||||
\(797\) | 5.74115e9 | − | 9.94397e9i | 0.401694 | − | 0.695754i | −0.592237 | − | 0.805764i | \(-0.701755\pi\) |
0.993930 | + | 0.110010i | \(0.0350884\pi\) | |||||||
\(798\) | 5.19618e9i | 0.361971i | ||||||||
\(799\) | 2.16308e10 | + | 1.24885e10i | 1.50023 | + | 0.866159i | ||||
\(800\) | 1.24993e10 | + | 7.21648e9i | 0.863119 | + | 0.498322i | ||||
\(801\) | 3.43182e9i | 0.235945i | ||||||||
\(802\) | 1.66936e9 | − | 2.89142e9i | 0.114272 | − | 0.197925i | ||||
\(803\) | 3.52218e9 | + | 6.10059e9i | 0.240053 | + | 0.415784i | ||||
\(804\) | 9.21784e9 | − | 5.32192e9i | 0.625508 | − | 0.361137i | ||||
\(805\) | 2.44381e8 | 0.0165113 | ||||||||
\(806\) | −6.34006e9 | + | 6.31055e9i | −0.426502 | + | 0.424517i | ||||
\(807\) | −1.46225e10 | −0.979412 | ||||||||
\(808\) | −1.17850e10 | + | 6.80407e9i | −0.785941 | + | 0.453763i | ||||
\(809\) | 3.08448e9 | + | 5.34248e9i | 0.204815 | + | 0.354751i | 0.950074 | − | 0.312025i | \(-0.101007\pi\) |
−0.745258 | + | 0.666776i | \(0.767674\pi\) | |||||||
\(810\) | −7.11401e8 | + | 1.23218e9i | −0.0470345 | + | 0.0814662i | ||||
\(811\) | 1.40103e8i | 0.00922305i | 0.999989 | + | 0.00461152i | \(0.00146790\pi\) | ||||
−0.999989 | + | 0.00461152i | \(0.998532\pi\) | |||||||
\(812\) | 1.89333e9 | + | 1.09312e9i | 0.124103 | + | 0.0716507i | ||||
\(813\) | −2.05080e10 | − | 1.18403e10i | −1.33846 | − | 0.772762i | ||||
\(814\) | − | 9.37081e8i | − | 0.0608964i | ||||||
\(815\) | −1.85023e8 | + | 3.20470e8i | −0.0119722 | + | 0.0207365i | ||||
\(816\) | 4.44944e8 | + | 7.70666e8i | 0.0286675 | + | 0.0496536i | ||||
\(817\) | 4.09426e9 | − | 2.36382e9i | 0.262663 | − | 0.151648i | ||||
\(818\) | −6.29562e9 | −0.402163 | ||||||||
\(819\) | −1.21633e9 | − | 1.22201e9i | −0.0773672 | − | 0.0777289i | ||||
\(820\) | −1.59360e9 | −0.100933 | ||||||||
\(821\) | 8.37648e9 | − | 4.83616e9i | 0.528275 | − | 0.305000i | −0.212038 | − | 0.977261i | \(-0.568010\pi\) |
0.740314 | + | 0.672261i | \(0.234677\pi\) | |||||||
\(822\) | −7.86726e7 | − | 1.36265e8i | −0.00494051 | − | 0.00855722i | ||||
\(823\) | −5.45059e9 | + | 9.44070e9i | −0.340835 | + | 0.590344i | −0.984588 | − | 0.174890i | \(-0.944043\pi\) |
0.643753 | + | 0.765233i | \(0.277376\pi\) | |||||||
\(824\) | 1.20598e10i | 0.750924i | ||||||||
\(825\) | 6.92068e9 | + | 3.99566e9i | 0.429102 | + | 0.247742i | ||||
\(826\) | −5.65046e9 | − | 3.26230e9i | −0.348862 | − | 0.201416i | ||||
\(827\) | 1.84169e10i | 1.13227i | 0.824314 | + | 0.566133i | \(0.191561\pi\) | ||||
−0.824314 | + | 0.566133i | \(0.808439\pi\) | |||||||
\(828\) | −5.09642e8 | + | 8.82725e8i | −0.0312003 | + | 0.0540405i | ||||
\(829\) | 6.55515e9 | + | 1.13539e10i | 0.399615 | + | 0.692154i | 0.993678 | − | 0.112265i | \(-0.0358104\pi\) |
−0.594063 | + | 0.804418i | \(0.702477\pi\) | |||||||
\(830\) | −1.76633e9 | + | 1.01979e9i | −0.107226 | + | 0.0619067i | ||||
\(831\) | −1.05266e10 | −0.636333 | ||||||||
\(832\) | 2.38065e9 | + | 8.96832e9i | 0.143306 | + | 0.539858i | ||||
\(833\) | 2.42131e9 | 0.145142 | ||||||||
\(834\) | −4.88071e9 | + | 2.81788e9i | −0.291341 | + | 0.168206i | ||||
\(835\) | 1.37032e9 | + | 2.37346e9i | 0.0814551 | + | 0.141084i | ||||
\(836\) | −3.37117e9 | + | 5.83904e9i | −0.199553 | + | 0.345636i | ||||
\(837\) | − | 1.37188e10i | − | 0.808683i | ||||||
\(838\) | 7.20950e9 | + | 4.16240e9i | 0.423205 | + | 0.244338i | ||||
\(839\) | 3.75138e9 | + | 2.16586e9i | 0.219293 | + | 0.126609i | 0.605623 | − | 0.795752i | \(-0.292924\pi\) |
−0.386330 | + | 0.922361i | \(0.626257\pi\) | |||||||
\(840\) | − | 9.43442e8i | − | 0.0549209i | ||||||
\(841\) | 5.59840e9 | − | 9.69671e9i | 0.324547 | − | 0.562132i | ||||
\(842\) | −3.58897e9 | − | 6.21628e9i | −0.207194 | − | 0.358871i | ||||
\(843\) | 3.72277e9 | − | 2.14934e9i | 0.214028 | − | 0.123569i | ||||
\(844\) | −6.55694e9 | −0.375407 | ||||||||
\(845\) | 1.13090e9 | + | 1.98004e9i | 0.0644799 | + | 0.112895i | ||||
\(846\) | 5.22754e9 | 0.296826 | ||||||||
\(847\) | 4.64888e9 | − | 2.68403e9i | 0.262880 | − | 0.151774i | ||||
\(848\) | −8.38460e7 | − | 1.45226e8i | −0.00472168 | − | 0.00817820i | ||||
\(849\) | 1.45211e10 | − | 2.51512e10i | 0.814369 | − | 1.41053i | ||||
\(850\) | 1.07296e10i | 0.599263i | ||||||||
\(851\) | −1.19669e9 | − | 6.90911e8i | −0.0665625 | − | 0.0384298i | ||||
\(852\) | 1.49680e10 | + | 8.64180e9i | 0.829137 | + | 0.478703i | ||||
\(853\) | − | 1.29074e10i | − | 0.712059i | −0.934475 | − | 0.356029i | \(-0.884130\pi\) | ||
0.934475 | − | 0.356029i | \(-0.115870\pi\) | |||||||
\(854\) | −3.32084e9 | + | 5.75186e9i | −0.182450 | + | 0.316013i | ||||
\(855\) | −4.84442e8 | − | 8.39079e8i | −0.0265070 | − | 0.0459115i | ||||
\(856\) | −1.13147e10 | + | 6.53254e9i | −0.616573 | + | 0.355978i | ||||
\(857\) | 8.88419e9 | 0.482153 | 0.241077 | − | 0.970506i | \(-0.422499\pi\) | ||||
0.241077 | + | 0.970506i | \(0.422499\pi\) | |||||||
\(858\) | 1.43538e9 | + | 5.40732e9i | 0.0775819 | + | 0.292265i | ||||
\(859\) | 6.08044e9 | 0.327310 | 0.163655 | − | 0.986518i | \(-0.447672\pi\) | ||||
0.163655 | + | 0.986518i | \(0.447672\pi\) | |||||||
\(860\) | −2.90107e8 | + | 1.67493e8i | −0.0155530 | + | 0.00897951i | ||||
\(861\) | −4.87639e9 | − | 8.44615e9i | −0.260368 | − | 0.450970i | ||||
\(862\) | 3.22806e9 | − | 5.59116e9i | 0.171659 | − | 0.297322i | ||||
\(863\) | − | 5.35711e9i | − | 0.283722i | −0.989887 | − | 0.141861i | \(-0.954691\pi\) | ||
0.989887 | − | 0.141861i | \(-0.0453086\pi\) | |||||||
\(864\) | −1.34201e10 | − | 7.74809e9i | −0.707876 | − | 0.408692i | ||||
\(865\) | 8.03219e8 | + | 4.63739e8i | 0.0421966 | + | 0.0243622i | ||||
\(866\) | − | 1.00711e10i | − | 0.526945i | ||||||
\(867\) | −3.51426e8 | + | 6.08688e8i | −0.0183133 | + | 0.0317196i | ||||
\(868\) | 2.33744e9 | + | 4.04856e9i | 0.121317 | + | 0.210127i | ||||
\(869\) | −6.21854e9 | + | 3.59028e9i | −0.321454 | + | 0.185592i | ||||
\(870\) | 1.01940e9 | 0.0524842 | ||||||||
\(871\) | −1.36681e10 | − | 1.37320e10i | −0.700884 | − | 0.704161i | ||||
\(872\) | −3.68818e9 | −0.188367 | ||||||||
\(873\) | 5.46090e9 | − | 3.15285e9i | 0.277789 | − | 0.160381i | ||||
\(874\) | −2.79582e9 | − | 4.84251e9i | −0.141651 | − | 0.245347i | ||||
\(875\) | −9.65551e8 | + | 1.67238e9i | −0.0487245 | + | 0.0843933i | ||||
\(876\) | − | 1.56501e10i | − | 0.786596i | ||||||
\(877\) | −2.01323e10 | − | 1.16234e10i | −1.00785 | − | 0.581881i | −0.0972867 | − | 0.995256i | \(-0.531016\pi\) |
−0.910561 | + | 0.413375i | \(0.864350\pi\) | |||||||
\(878\) | 2.12349e9 | + | 1.22600e9i | 0.105881 | + | 0.0611307i | ||||
\(879\) | 2.37502e10i | 1.17952i | ||||||||
\(880\) | 2.89707e7 | − | 5.01788e7i | 0.00143308 | − | 0.00248217i | ||||
\(881\) | −4.25419e9 | − | 7.36847e9i | −0.209605 | − | 0.363046i | 0.741985 | − | 0.670416i | \(-0.233884\pi\) |
−0.951590 | + | 0.307370i | \(0.900551\pi\) | |||||||
\(882\) | 4.38872e8 | − | 2.53383e8i | 0.0215376 | − | 0.0124348i | ||||
\(883\) | −6.83929e9 | −0.334310 | −0.167155 | − | 0.985931i | \(-0.553458\pi\) | ||||
−0.167155 | + | 0.985931i | \(0.553458\pi\) | |||||||
\(884\) | 9.46618e9 | − | 9.42212e9i | 0.460884 | − | 0.458739i | ||||
\(885\) | 5.40939e9 | 0.262329 | ||||||||
\(886\) | 1.99896e10 | − | 1.15410e10i | 0.965576 | − | 0.557476i | ||||
\(887\) | 5.68119e9 | + | 9.84012e9i | 0.273342 | + | 0.473443i | 0.969716 | − | 0.244237i | \(-0.0785375\pi\) |
−0.696373 | + | 0.717680i | \(0.745204\pi\) | |||||||
\(888\) | −2.66729e9 | + | 4.61988e9i | −0.127828 | + | 0.221404i | ||||
\(889\) | − | 1.43924e10i | − | 0.687032i | ||||||
\(890\) | 1.15527e9 | + | 6.66993e8i | 0.0549310 | + | 0.0317144i | ||||
\(891\) | −9.78474e9 | − | 5.64922e9i | −0.463423 | − | 0.267557i | ||||
\(892\) | − | 1.41817e10i | − | 0.669038i | ||||||
\(893\) | 2.54952e10 | − | 4.41590e10i | 1.19806 | − | 2.07510i | ||||
\(894\) | −4.73736e9 | − | 8.20535e9i | −0.221746 | − | 0.384075i | ||||
\(895\) | −3.62480e9 | + | 2.09278e9i | −0.169006 | + | 0.0975758i | ||||
\(896\) | 5.52312e9 | 0.256511 | ||||||||
\(897\) | 7.96369e9 | + | 2.15378e9i | 0.368418 | + | 0.0996388i | ||||
\(898\) | 1.55639e10 | 0.717219 | ||||||||
\(899\) | −1.12093e10 | + | 6.47172e9i | −0.514543 | + | 0.297071i | ||||
\(900\) | −1.99644e9 | − | 3.45793e9i | −0.0912866 | − | 0.158113i | ||||
\(901\) | 2.11992e9 | − | 3.67180e9i | 0.0965566 | − | 0.167241i | ||||
\(902\) | 7.11718e9i | 0.322913i | ||||||||
\(903\) | −1.77544e9 | − | 1.02505e9i | −0.0802415 | − | 0.0463274i | ||||
\(904\) | −9.88345e9 | − | 5.70621e9i | −0.444958 | − | 0.256897i | ||||
\(905\) | 9.44019e7i | 0.00423361i | ||||||||
\(906\) | −9.46153e9 | + | 1.63879e10i | −0.422681 | + | 0.732105i | ||||
\(907\) | −1.73018e10 | − | 2.99677e10i | −0.769957 | − | 1.33361i | −0.937585 | − | 0.347755i | \(-0.886944\pi\) |
0.167628 | − | 0.985850i | \(-0.446389\pi\) | |||||||
\(908\) | −1.60993e10 | + | 9.29492e9i | −0.713684 | + | 0.412046i | ||||
\(909\) | 6.06019e9 | 0.267616 | ||||||||
\(910\) | −6.47771e8 | + | 1.71951e8i | −0.0284955 | + | 0.00756416i | ||||
\(911\) | −1.78214e10 | −0.780959 | −0.390480 | − | 0.920612i | \(-0.627691\pi\) | ||||
−0.390480 | + | 0.920612i | \(0.627691\pi\) | |||||||
\(912\) | 1.57331e9 | − | 9.08349e8i | 0.0686801 | − | 0.0396525i | ||||
\(913\) | −8.09814e9 | − | 1.40264e10i | −0.352158 | − | 0.609956i | ||||
\(914\) | −6.19256e8 | + | 1.07258e9i | −0.0268262 | + | 0.0464643i | ||||
\(915\) | − | 5.50646e9i | − | 0.237628i | ||||||
\(916\) | −1.66021e10 | − | 9.58523e9i | −0.713722 | − | 0.412068i | ||||
\(917\) | −4.67382e9 | − | 2.69843e9i | −0.200161 | − | 0.115563i | ||||
\(918\) | − | 1.15200e10i | − | 0.491477i | ||||||
\(919\) | 1.09355e10 | − | 1.89408e10i | 0.464765 | − | 0.804997i | −0.534426 | − | 0.845215i | \(-0.679472\pi\) |
0.999191 | + | 0.0402188i | \(0.0128055\pi\) | |||||||
\(920\) | 5.07622e8 | + | 8.79227e8i | 0.0214923 | + | 0.0372258i | ||||
\(921\) | 2.77402e10 | − | 1.60158e10i | 1.17004 | − | 0.675522i | ||||
\(922\) | −8.98131e9 | −0.377382 | ||||||||
\(923\) | 8.21362e9 | − | 3.03701e10i | 0.343818 | − | 1.27128i | ||||
\(924\) | 2.92375e9 | 0.121924 | ||||||||
\(925\) | 4.68785e9 | − | 2.70653e9i | 0.194750 | − | 0.112439i | ||||
\(926\) | 3.58098e8 | + | 6.20244e8i | 0.0148205 | + | 0.0256699i | ||||
\(927\) | 2.68533e9 | − | 4.65114e9i | 0.110718 | − | 0.191770i | ||||
\(928\) | 1.46203e10i | 0.600536i | ||||||||
\(929\) | 1.64829e10 | + | 9.51639e9i | 0.674494 | + | 0.389419i | 0.797777 | − | 0.602952i | \(-0.206009\pi\) |
−0.123284 | + | 0.992371i | \(0.539342\pi\) | |||||||
\(930\) | 1.88777e9 | + | 1.08991e9i | 0.0769590 | + | 0.0444323i | ||||
\(931\) | − | 4.94309e9i | − | 0.200759i | ||||||
\(932\) | −4.86175e9 | + | 8.42079e9i | −0.196715 | + | 0.340720i | ||||
\(933\) | −6.60777e7 | − | 1.14450e8i | −0.00266360 | − | 0.00461349i | ||||
\(934\) | 1.71661e10 | − | 9.91087e9i | 0.689379 | − | 0.398013i | ||||
\(935\) | 1.46496e9 | 0.0586118 | ||||||||
\(936\) | 1.87001e9 | − | 6.91442e9i | 0.0745380 | − | 0.275607i | ||||
\(937\) | −3.09069e10 | −1.22735 | −0.613673 | − | 0.789560i | \(-0.710309\pi\) | ||||
−0.613673 | + | 0.789560i | \(0.710309\pi\) | |||||||
\(938\) | 4.93171e9 | − | 2.84732e9i | 0.195113 | − | 0.112649i | ||||
\(939\) | −2.32968e10 | − | 4.03512e10i | −0.918262 | − | 1.59048i | ||||
\(940\) | −1.80651e9 | + | 3.12897e9i | −0.0709402 | + | 0.122872i | ||||
\(941\) | 2.48692e10i | 0.972967i | 0.873690 | + | 0.486484i | \(0.161721\pi\) | ||||
−0.873690 | + | 0.486484i | \(0.838279\pi\) | |||||||
\(942\) | 2.56796e10 | + | 1.48261e10i | 1.00095 | + | 0.577896i | ||||
\(943\) | 9.08896e9 | + | 5.24751e9i | 0.352958 | + | 0.203780i | ||||
\(944\) | 2.28114e9i | 0.0882571i | ||||||||
\(945\) | 5.13922e8 | − | 8.90139e8i | 0.0198101 | − | 0.0343120i | ||||
\(946\) | 7.48041e8 | + | 1.29565e9i | 0.0287281 | + | 0.0497585i | ||||
\(947\) | −2.83328e10 | + | 1.63579e10i | −1.08409 | + | 0.625898i | −0.931996 | − | 0.362468i | \(-0.881934\pi\) |
−0.152091 | + | 0.988366i | \(0.548601\pi\) | |||||||
\(948\) | 1.59526e10 | 0.608140 | ||||||||
\(949\) | −2.75341e10 | + | 7.30895e9i | −1.04578 | + | 0.277603i | ||||
\(950\) | 2.19044e10 | 0.828892 | ||||||||
\(951\) | 3.67046e10 | − | 2.11914e10i | 1.38385 | − | 0.798965i | ||||
\(952\) | 5.02950e9 | + | 8.71135e9i | 0.188928 | + | 0.327232i | ||||
\(953\) | 6.09887e9 | − | 1.05636e10i | 0.228257 | − | 0.395353i | −0.729034 | − | 0.684477i | \(-0.760031\pi\) |
0.957292 | + | 0.289124i | \(0.0933639\pi\) | |||||||
\(954\) | − | 8.87371e8i | − | 0.0330892i | ||||||
\(955\) | 1.29614e9 | + | 7.48324e8i | 0.0481547 | + | 0.0278021i | ||||
\(956\) | 2.65104e10 | + | 1.53058e10i | 0.981326 | + | 0.566569i | ||||
\(957\) | 8.09506e9i | 0.298558i | ||||||||
\(958\) | 4.01783e9 | − | 6.95908e9i | 0.147643 | − | 0.255725i | ||||
\(959\) | 7.48406e7 | + | 1.29628e8i | 0.00274014 | + | 0.00474605i | ||||
\(960\) | 1.95817e9 | − | 1.13055e9i | 0.0714332 | − | 0.0412420i | ||||
\(961\) | −1.64662e8 | −0.00598495 | ||||||||
\(962\) | 3.65817e9 | + | 9.89354e8i | 0.132480 | + | 0.0358294i | ||||
\(963\) | 5.81834e9 | 0.209946 | ||||||||
\(964\) | −3.14602e9 | + | 1.81636e9i | −0.113108 | + | 0.0653028i | ||||
\(965\) | −2.90246e9 | − | 5.02721e9i | −0.103973 | − | 0.180087i | ||||
\(966\) | −1.21238e9 | + | 2.09991e9i | −0.0432733 | + | 0.0749515i | ||||
\(967\) | 4.47455e10i | 1.59132i | 0.605746 | + | 0.795658i | \(0.292875\pi\) | ||||
−0.605746 | + | 0.795658i | \(0.707125\pi\) | |||||||
\(968\) | 1.93131e10 | + | 1.11504e10i | 0.684366 | + | 0.395119i | ||||
\(969\) | 3.97786e10 | + | 2.29662e10i | 1.40448 | + | 0.810878i | ||||
\(970\) | − | 2.45110e9i | − | 0.0862302i | ||||||
\(971\) | 1.94597e10 | − | 3.37051e10i | 0.682131 | − | 1.18149i | −0.292198 | − | 0.956358i | \(-0.594387\pi\) |
0.974329 | − | 0.225128i | \(-0.0722799\pi\) | |||||||
\(972\) | 5.16321e9 | + | 8.94295e9i | 0.180338 | + | 0.312355i | ||||
\(973\) | 4.64298e9 | − | 2.68063e9i | 0.161585 | − | 0.0932914i | ||||
\(974\) | −6.87200e9 | −0.238301 | ||||||||
\(975\) | −2.29050e10 | + | 2.27984e10i | −0.791432 | + | 0.787749i | ||||
\(976\) | 2.32207e9 | 0.0799468 | ||||||||
\(977\) | −2.92966e10 | + | 1.69144e10i | −1.00505 | + | 0.580264i | −0.909738 | − | 0.415183i | \(-0.863717\pi\) |
−0.0953097 | + | 0.995448i | \(0.530384\pi\) | |||||||
\(978\) | −1.83582e9 | − | 3.17973e9i | −0.0627544 | − | 0.108694i | ||||
\(979\) | −5.29659e9 | + | 9.17395e9i | −0.180408 | + | 0.312476i | ||||
\(980\) | 3.50252e8i | 0.0118875i | ||||||||
\(981\) | 1.42243e9 | + | 8.21238e8i | 0.0481048 | + | 0.0277733i | ||||
\(982\) | 2.13972e10 | + | 1.23537e10i | 0.721052 | + | 0.416300i | ||||
\(983\) | 1.30404e10i | 0.437879i | 0.975738 | + | 0.218940i | \(0.0702598\pi\) | ||||
−0.975738 | + | 0.218940i | \(0.929740\pi\) | |||||||
\(984\) | 2.02582e10 | − | 3.50883e10i | 0.677827 | − | 1.17403i | ||||
\(985\) | 1.46090e9 | + | 2.53036e9i | 0.0487073 | + | 0.0843636i | ||||
\(986\) | −9.41273e9 | + | 5.43444e9i | −0.312713 | + | 0.180545i | ||||
\(987\) | −2.21115e10 | −0.731996 | ||||||||
\(988\) | −1.92352e10 | − | 1.93251e10i | −0.634522 | − | 0.637489i | ||||
\(989\) | 2.20613e9 | 0.0725176 | ||||||||
\(990\) | 2.65530e8 | − | 1.53304e8i | 0.00869741 | − | 0.00502145i | ||||
\(991\) | −2.79541e9 | − | 4.84180e9i | −0.0912407 | − | 0.158033i | 0.816793 | − | 0.576931i | \(-0.195750\pi\) |
−0.908033 | + | 0.418898i | \(0.862417\pi\) | |||||||
\(992\) | −1.56315e10 | + | 2.70745e10i | −0.508405 | + | 0.880583i | ||||
\(993\) | 6.17953e9i | 0.200278i | ||||||||
\(994\) | 8.00816e9 | + | 4.62351e9i | 0.258631 | + | 0.149321i | ||||
\(995\) | 2.36221e9 | + | 1.36382e9i | 0.0760217 | + | 0.0438911i | ||||
\(996\) | 3.59824e10i | 1.15394i | ||||||||
\(997\) | −5.76638e9 | + | 9.98766e9i | −0.184276 | + | 0.319176i | −0.943332 | − | 0.331849i | \(-0.892328\pi\) |
0.759056 | + | 0.651025i | \(0.225661\pi\) | |||||||
\(998\) | −8.33055e9 | − | 1.44289e10i | −0.265288 | − | 0.459492i | ||||
\(999\) | −5.03319e9 | + | 2.90591e9i | −0.159722 | + | 0.0922154i |
(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 | 91.8.q.a.36.19 | ✓ | 100 | |
13.4 | even | 6 | inner | 91.8.q.a.43.19 | yes | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.8.q.a.36.19 | ✓ | 100 | 1.1 | even | 1 | trivial | |
91.8.q.a.43.19 | yes | 100 | 13.4 | even | 6 | inner |