Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,30,Mod(4,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 30, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.4");
S:= CuspForms(chi, 30);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 30 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.e (of order \(3\), 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: | \(111.883889004\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Character | \(\chi\) | \(=\) | 21.4 |
Dual form | 21.30.e.a.16.1 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −21682.7 | − | 37555.5i | −0.935790 | − | 1.62084i | −0.773219 | − | 0.634139i | \(-0.781354\pi\) |
−0.162572 | − | 0.986697i | \(-0.551979\pi\) | |||||||
\(3\) | 2.39148e6 | − | 4.14217e6i | 0.288675 | − | 0.500000i | ||||
\(4\) | −6.71844e8 | + | 1.16367e9i | −1.25141 | + | 2.16750i | ||||
\(5\) | −3.79032e9 | − | 6.56503e9i | −0.277723 | − | 0.481030i | 0.693096 | − | 0.720846i | \(-0.256246\pi\) |
−0.970818 | + | 0.239816i | \(0.922913\pi\) | |||||||
\(6\) | −2.07415e11 | −1.08056 | ||||||||
\(7\) | −1.42775e12 | + | 1.08693e12i | −0.795668 | + | 0.605732i | ||||
\(8\) | 3.49879e13 | 2.81264 | ||||||||
\(9\) | −1.14384e13 | − | 1.98119e13i | −0.166667 | − | 0.288675i | ||||
\(10\) | −1.64369e14 | + | 2.84695e14i | −0.519780 | + | 0.900286i | ||||
\(11\) | −4.44909e14 | + | 7.70604e14i | −0.353246 | + | 0.611839i | −0.986816 | − | 0.161846i | \(-0.948255\pi\) |
0.633570 | + | 0.773685i | \(0.281589\pi\) | |||||||
\(12\) | 3.21341e15 | + | 5.56579e15i | 0.722500 | + | 1.25141i | ||||
\(13\) | −2.64915e16 | −1.86607 | −0.933035 | − | 0.359786i | \(-0.882850\pi\) | ||||
−0.933035 | + | 0.359786i | \(0.882850\pi\) | |||||||
\(14\) | 7.17779e16 | + | 3.00525e16i | 1.72637 | + | 0.722810i | ||||
\(15\) | −3.62580e16 | −0.320687 | ||||||||
\(16\) | −3.97940e17 | − | 6.89252e17i | −1.38063 | − | 2.39132i | ||||
\(17\) | −5.35059e17 | + | 9.26750e17i | −0.770713 | + | 1.33491i | 0.166460 | + | 0.986048i | \(0.446766\pi\) |
−0.937173 | + | 0.348866i | \(0.886567\pi\) | |||||||
\(18\) | −4.96031e17 | + | 8.59150e17i | −0.311930 | + | 0.540279i | ||||
\(19\) | −4.79881e17 | − | 8.31178e17i | −0.137786 | − | 0.238653i | 0.788872 | − | 0.614557i | \(-0.210665\pi\) |
−0.926658 | + | 0.375904i | \(0.877332\pi\) | |||||||
\(20\) | 1.01860e19 | 1.39018 | ||||||||
\(21\) | 1.08781e18 | + | 8.51339e18i | 0.0731766 | + | 0.572694i | ||||
\(22\) | 3.85873e19 | 1.32226 | ||||||||
\(23\) | 3.62121e19 | + | 6.27211e19i | 0.651328 | + | 1.12813i | 0.982801 | + | 0.184668i | \(0.0591211\pi\) |
−0.331473 | + | 0.943465i | \(0.607546\pi\) | |||||||
\(24\) | 8.36731e19 | − | 1.44926e20i | 0.811938 | − | 1.40632i | ||||
\(25\) | 6.43991e19 | − | 1.11543e20i | 0.345740 | − | 0.598840i | ||||
\(26\) | 5.74407e20 | + | 9.94902e20i | 1.74625 | + | 3.02459i | ||||
\(27\) | −1.09419e20 | −0.192450 | ||||||||
\(28\) | −3.05599e20 | − | 2.39168e21i | −0.317220 | − | 2.48263i | ||||
\(29\) | −1.66339e21 | −1.03806 | −0.519030 | − | 0.854756i | \(-0.673707\pi\) | ||||
−0.519030 | + | 0.854756i | \(0.673707\pi\) | |||||||
\(30\) | 7.86172e20 | + | 1.36169e21i | 0.300095 | + | 0.519780i | ||||
\(31\) | −3.77230e21 | + | 6.53381e21i | −0.895079 | + | 1.55032i | −0.0613733 | + | 0.998115i | \(0.519548\pi\) |
−0.833706 | + | 0.552208i | \(0.813785\pi\) | |||||||
\(32\) | −7.86482e21 | + | 1.36223e22i | −1.17764 | + | 2.03974i | ||||
\(33\) | 2.12798e21 | + | 3.68578e21i | 0.203946 | + | 0.353246i | ||||
\(34\) | 4.64061e22 | 2.88490 | ||||||||
\(35\) | 1.25474e22 | + | 5.25344e21i | 0.512351 | + | 0.214515i | ||||
\(36\) | 3.07393e22 | 0.834271 | ||||||||
\(37\) | 4.65042e22 | + | 8.05477e22i | 0.848335 | + | 1.46936i | 0.882693 | + | 0.469950i | \(0.155728\pi\) |
−0.0343577 | + | 0.999410i | \(0.510939\pi\) | |||||||
\(38\) | −2.08102e22 | + | 3.60444e22i | −0.257878 | + | 0.446658i | ||||
\(39\) | −6.33540e22 | + | 1.09732e23i | −0.538688 | + | 0.933035i | ||||
\(40\) | −1.32616e23 | − | 2.29697e23i | −0.781133 | − | 1.35296i | ||||
\(41\) | −8.09583e22 | −0.333346 | −0.166673 | − | 0.986012i | \(-0.553302\pi\) | ||||
−0.166673 | + | 0.986012i | \(0.553302\pi\) | |||||||
\(42\) | 2.96138e23 | − | 2.25446e23i | 0.859765 | − | 0.654529i | ||||
\(43\) | −4.67966e23 | −0.965876 | −0.482938 | − | 0.875655i | \(-0.660430\pi\) | ||||
−0.482938 | + | 0.875655i | \(0.660430\pi\) | |||||||
\(44\) | −5.97818e23 | − | 1.03545e24i | −0.884108 | − | 1.53132i | ||||
\(45\) | −8.67105e22 | + | 1.50187e23i | −0.0925742 | + | 0.160343i | ||||
\(46\) | 1.57035e24 | − | 2.71993e24i | 1.21901 | − | 2.11139i | ||||
\(47\) | 9.90629e22 | + | 1.71582e23i | 0.0562979 | + | 0.0975108i | 0.892801 | − | 0.450452i | \(-0.148737\pi\) |
−0.836503 | + | 0.547962i | \(0.815404\pi\) | |||||||
\(48\) | −3.80667e24 | −1.59422 | ||||||||
\(49\) | 8.57063e23 | − | 3.10375e24i | 0.266176 | − | 0.963924i | ||||
\(50\) | −5.58539e24 | −1.29416 | ||||||||
\(51\) | 2.55917e24 | + | 4.43262e24i | 0.444971 | + | 0.770713i | ||||
\(52\) | 1.77981e25 | − | 3.08273e25i | 2.33521 | − | 4.04471i | ||||
\(53\) | 3.53508e24 | − | 6.12294e24i | 0.351884 | − | 0.609481i | −0.634696 | − | 0.772762i | \(-0.718875\pi\) |
0.986580 | + | 0.163281i | \(0.0522079\pi\) | |||||||
\(54\) | 2.37250e24 | + | 4.10929e24i | 0.180093 | + | 0.311930i | ||||
\(55\) | 6.74539e24 | 0.392417 | ||||||||
\(56\) | −4.99542e25 | + | 3.80295e25i | −2.23793 | + | 1.70371i | ||||
\(57\) | −4.59051e24 | −0.159102 | ||||||||
\(58\) | 3.60668e25 | + | 6.24694e25i | 0.971407 | + | 1.68253i | ||||
\(59\) | 2.00132e25 | − | 3.46639e25i | 0.420690 | − | 0.728657i | −0.575317 | − | 0.817931i | \(-0.695121\pi\) |
0.996007 | + | 0.0892737i | \(0.0284546\pi\) | |||||||
\(60\) | 2.43597e25 | − | 4.21923e25i | 0.401309 | − | 0.695088i | ||||
\(61\) | −3.93882e25 | − | 6.82223e25i | −0.510603 | − | 0.884390i | −0.999925 | − | 0.0122869i | \(-0.996089\pi\) |
0.489321 | − | 0.872103i | \(-0.337244\pi\) | |||||||
\(62\) | 3.27175e26 | 3.35043 | ||||||||
\(63\) | 3.78654e25 | + | 1.58538e25i | 0.307471 | + | 0.128734i | ||||
\(64\) | 2.54837e26 | 1.64685 | ||||||||
\(65\) | 1.00411e26 | + | 1.73918e26i | 0.518250 | + | 0.897635i | ||||
\(66\) | 9.22809e25 | − | 1.59835e26i | 0.381702 | − | 0.661128i | ||||
\(67\) | −7.64134e25 | + | 1.32352e26i | −0.254147 | + | 0.440196i | −0.964663 | − | 0.263485i | \(-0.915128\pi\) |
0.710516 | + | 0.703681i | \(0.248461\pi\) | |||||||
\(68\) | −7.18953e26 | − | 1.24526e27i | −1.92895 | − | 3.34104i | ||||
\(69\) | 3.46402e26 | 0.752089 | ||||||||
\(70\) | −7.47660e25 | − | 5.85133e26i | −0.131760 | − | 1.03118i | ||||
\(71\) | −7.05299e26 | −1.01188 | −0.505938 | − | 0.862570i | \(-0.668853\pi\) | ||||
−0.505938 | + | 0.862570i | \(0.668853\pi\) | |||||||
\(72\) | −4.00206e26 | − | 6.93177e26i | −0.468773 | − | 0.811938i | ||||
\(73\) | 1.21511e26 | − | 2.10463e26i | 0.116529 | − | 0.201834i | −0.801861 | − | 0.597511i | \(-0.796157\pi\) |
0.918390 | + | 0.395677i | \(0.129490\pi\) | |||||||
\(74\) | 2.01668e27 | − | 3.49298e27i | 1.58773 | − | 2.75003i | ||||
\(75\) | −3.08019e26 | − | 5.33505e26i | −0.199613 | − | 0.345740i | ||||
\(76\) | 1.28962e27 | 0.689707 | ||||||||
\(77\) | −2.02374e26 | − | 1.58382e27i | −0.0895446 | − | 0.700794i | ||||
\(78\) | 5.49474e27 | 2.01640 | ||||||||
\(79\) | 1.18640e25 | + | 2.05490e25i | 0.00361941 | + | 0.00626900i | 0.867829 | − | 0.496862i | \(-0.165515\pi\) |
−0.864210 | + | 0.503131i | \(0.832181\pi\) | |||||||
\(80\) | −3.01664e27 | + | 5.22498e27i | −0.766865 | + | 1.32825i | ||||
\(81\) | −2.61674e26 | + | 4.53232e26i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 1.75539e27 | + | 3.04043e27i | 0.311942 | + | 0.540299i | ||||
\(83\) | −8.78152e27 | −1.30899 | −0.654496 | − | 0.756065i | \(-0.727119\pi\) | ||||
−0.654496 | + | 0.756065i | \(0.727119\pi\) | |||||||
\(84\) | −1.06376e28 | − | 4.45382e27i | −1.33289 | − | 0.558063i | ||||
\(85\) | 8.11219e27 | 0.856178 | ||||||||
\(86\) | 1.01468e28 | + | 1.75747e28i | 0.903857 | + | 1.56553i | ||||
\(87\) | −3.97797e27 | + | 6.89004e27i | −0.299662 | + | 0.519030i | ||||
\(88\) | −1.55664e28 | + | 2.69619e28i | −0.993552 | + | 1.72088i | ||||
\(89\) | −5.33170e27 | − | 9.23477e27i | −0.288875 | − | 0.500347i | 0.684666 | − | 0.728857i | \(-0.259948\pi\) |
−0.973542 | + | 0.228510i | \(0.926615\pi\) | |||||||
\(90\) | 7.52047e27 | 0.346520 | ||||||||
\(91\) | 3.78234e28 | − | 2.87945e28i | 1.48477 | − | 1.13034i | ||||
\(92\) | −9.73154e28 | −3.26030 | ||||||||
\(93\) | 1.80428e28 | + | 3.12510e28i | 0.516774 | + | 0.895079i | ||||
\(94\) | 4.29590e27 | − | 7.44072e27i | 0.105366 | − | 0.182499i | ||||
\(95\) | −3.63781e27 | + | 6.30087e27i | −0.0765328 | + | 0.132559i | ||||
\(96\) | 3.76172e28 | + | 6.51549e28i | 0.679913 | + | 1.17764i | ||||
\(97\) | −1.41306e28 | −0.219771 | −0.109886 | − | 0.993944i | \(-0.535048\pi\) | ||||
−0.109886 | + | 0.993944i | \(0.535048\pi\) | |||||||
\(98\) | −1.35146e29 | + | 3.51101e28i | −1.81145 | + | 0.470603i | ||||
\(99\) | 2.03562e28 | 0.235497 | ||||||||
\(100\) | 8.65323e28 | + | 1.49878e29i | 0.865323 | + | 1.49878i | ||||
\(101\) | −1.56305e28 | + | 2.70728e28i | −0.135305 | + | 0.234354i | −0.925714 | − | 0.378225i | \(-0.876535\pi\) |
0.790409 | + | 0.612579i | \(0.209868\pi\) | |||||||
\(102\) | 1.10980e29 | − | 1.92222e29i | 0.832800 | − | 1.44245i | ||||
\(103\) | −5.56865e28 | − | 9.64519e28i | −0.362752 | − | 0.628306i | 0.625660 | − | 0.780096i | \(-0.284830\pi\) |
−0.988413 | + | 0.151790i | \(0.951496\pi\) | |||||||
\(104\) | −9.26883e29 | −5.24857 | ||||||||
\(105\) | 5.17676e28 | − | 3.94100e28i | 0.255160 | − | 0.194250i | ||||
\(106\) | −3.06601e29 | −1.31716 | ||||||||
\(107\) | 1.77706e29 | + | 3.07796e29i | 0.666251 | + | 1.15398i | 0.978945 | + | 0.204126i | \(0.0654352\pi\) |
−0.312694 | + | 0.949854i | \(0.601231\pi\) | |||||||
\(108\) | 7.35125e28 | − | 1.27327e29i | 0.240833 | − | 0.417136i | ||||
\(109\) | −1.18214e29 | + | 2.04752e29i | −0.338831 | + | 0.586873i | −0.984213 | − | 0.176987i | \(-0.943365\pi\) |
0.645382 | + | 0.763860i | \(0.276698\pi\) | |||||||
\(110\) | −1.46258e29 | − | 2.53327e29i | −0.367220 | − | 0.636044i | ||||
\(111\) | 4.44857e29 | 0.979573 | ||||||||
\(112\) | 1.31733e30 | + | 5.51549e29i | 2.54703 | + | 1.06641i | ||||
\(113\) | 1.64374e28 | 0.0279381 | 0.0139690 | − | 0.999902i | \(-0.495553\pi\) | ||||
0.0139690 | + | 0.999902i | \(0.495553\pi\) | |||||||
\(114\) | 9.95347e28 | + | 1.72399e29i | 0.148886 | + | 0.257878i | ||||
\(115\) | 2.74511e29 | − | 4.75467e29i | 0.361777 | − | 0.626616i | ||||
\(116\) | 1.11754e30 | − | 1.93563e30i | 1.29904 | − | 2.25000i | ||||
\(117\) | 3.03020e29 | + | 5.24846e29i | 0.311012 | + | 0.538688i | ||||
\(118\) | −1.73576e30 | −1.57471 | ||||||||
\(119\) | −2.43381e29 | − | 1.90475e30i | −0.195369 | − | 1.52899i | ||||
\(120\) | −1.26859e30 | −0.901975 | ||||||||
\(121\) | 3.97267e29 | + | 6.88087e29i | 0.250435 | + | 0.433766i | ||||
\(122\) | −1.70808e30 | + | 2.95849e30i | −0.955635 | + | 1.65521i | ||||
\(123\) | −1.93610e29 | + | 3.35343e29i | −0.0962287 | + | 0.166673i | ||||
\(124\) | −5.06879e30 | − | 8.77941e30i | −2.24022 | − | 3.88017i | ||||
\(125\) | −2.38838e30 | −0.939525 | ||||||||
\(126\) | −2.25628e29 | − | 1.76581e30i | −0.0790715 | − | 0.618829i | ||||
\(127\) | 1.60534e30 | 0.501666 | 0.250833 | − | 0.968030i | \(-0.419296\pi\) | ||||
0.250833 | + | 0.968030i | \(0.419296\pi\) | |||||||
\(128\) | −1.30317e30 | − | 2.25716e30i | −0.363461 | − | 0.629533i | ||||
\(129\) | −1.11913e30 | + | 1.93839e30i | −0.278824 | + | 0.482938i | ||||
\(130\) | 4.35438e30 | − | 7.54201e30i | 0.969946 | − | 1.68000i | ||||
\(131\) | 1.53396e30 | + | 2.65689e30i | 0.305759 | + | 0.529590i | 0.977430 | − | 0.211259i | \(-0.0677564\pi\) |
−0.671671 | + | 0.740850i | \(0.734423\pi\) | |||||||
\(132\) | −5.71869e30 | −1.02088 | ||||||||
\(133\) | 1.58859e30 | + | 6.65121e29i | 0.254192 | + | 0.106427i | ||||
\(134\) | 6.62740e30 | 0.951313 | ||||||||
\(135\) | 4.14733e29 | + | 7.18339e29i | 0.0534478 | + | 0.0925742i | ||||
\(136\) | −1.87206e31 | + | 3.24251e31i | −2.16774 | + | 3.75463i | ||||
\(137\) | −2.53069e30 | + | 4.38329e30i | −0.263506 | + | 0.456407i | −0.967171 | − | 0.254126i | \(-0.918212\pi\) |
0.703665 | + | 0.710532i | \(0.251546\pi\) | |||||||
\(138\) | −7.51094e30 | − | 1.30093e31i | −0.703797 | − | 1.21901i | ||||
\(139\) | −8.33427e30 | −0.703320 | −0.351660 | − | 0.936128i | \(-0.614383\pi\) | ||||
−0.351660 | + | 0.936128i | \(0.614383\pi\) | |||||||
\(140\) | −1.45431e31 | + | 1.10715e31i | −1.10612 | + | 0.842075i | ||||
\(141\) | 9.47630e29 | 0.0650072 | ||||||||
\(142\) | 1.52928e31 | + | 2.64879e31i | 0.946903 | + | 1.64008i | ||||
\(143\) | 1.17863e31 | − | 2.04145e31i | 0.659181 | − | 1.14173i | ||||
\(144\) | −9.10359e30 | + | 1.57679e31i | −0.460210 | + | 0.797108i | ||||
\(145\) | 6.30478e30 | + | 1.09202e31i | 0.288293 | + | 0.499338i | ||||
\(146\) | −1.05387e31 | −0.436186 | ||||||||
\(147\) | −1.08066e31 | − | 1.09727e31i | −0.405124 | − | 0.411349i | ||||
\(148\) | −1.24974e32 | −4.24645 | ||||||||
\(149\) | 1.55915e31 | + | 2.70053e31i | 0.480493 | + | 0.832238i | 0.999750 | − | 0.0223804i | \(-0.00712450\pi\) |
−0.519257 | + | 0.854618i | \(0.673791\pi\) | |||||||
\(150\) | −1.33574e31 | + | 2.31356e31i | −0.373592 | + | 0.647081i | ||||
\(151\) | −6.15973e30 | + | 1.06690e31i | −0.156457 | + | 0.270992i | −0.933589 | − | 0.358346i | \(-0.883341\pi\) |
0.777131 | + | 0.629338i | \(0.216674\pi\) | |||||||
\(152\) | −1.67900e31 | − | 2.90812e31i | −0.387543 | − | 0.671244i | ||||
\(153\) | 2.44809e31 | 0.513809 | ||||||||
\(154\) | −5.50932e31 | + | 4.19418e31i | −1.05208 | + | 0.800933i | ||||
\(155\) | 5.71930e31 | 0.994335 | ||||||||
\(156\) | −8.51280e31 | − | 1.47446e32i | −1.34824 | − | 2.33521i | ||||
\(157\) | 3.04222e31 | − | 5.26928e31i | 0.439183 | − | 0.760688i | −0.558443 | − | 0.829543i | \(-0.688601\pi\) |
0.997627 | + | 0.0688549i | \(0.0219345\pi\) | |||||||
\(158\) | 5.14486e29 | − | 8.91116e29i | 0.00677401 | − | 0.0117329i | ||||
\(159\) | −1.69082e31 | − | 2.92858e31i | −0.203160 | − | 0.351884i | ||||
\(160\) | 1.19241e32 | 1.30823 | ||||||||
\(161\) | −1.19876e32 | − | 5.01904e31i | −1.20159 | − | 0.503089i | ||||
\(162\) | 2.26952e31 | 0.207953 | ||||||||
\(163\) | −7.54388e31 | − | 1.30664e32i | −0.632229 | − | 1.09505i | −0.987095 | − | 0.160136i | \(-0.948807\pi\) |
0.354866 | − | 0.934917i | \(-0.384527\pi\) | |||||||
\(164\) | 5.43913e31 | − | 9.42086e31i | 0.417152 | − | 0.722528i | ||||
\(165\) | 1.61315e31 | − | 2.79406e31i | 0.113281 | − | 0.196209i | ||||
\(166\) | 1.90407e32 | + | 3.29795e32i | 1.22494 | + | 2.12166i | ||||
\(167\) | −1.49437e32 | −0.881190 | −0.440595 | − | 0.897706i | \(-0.645233\pi\) | ||||
−0.440595 | + | 0.897706i | \(0.645233\pi\) | |||||||
\(168\) | 3.80601e31 | + | 2.97866e32i | 0.205819 | + | 1.61078i | ||||
\(169\) | 5.00261e32 | 2.48221 | ||||||||
\(170\) | −1.75894e32 | − | 3.04658e32i | −0.801203 | − | 1.38772i | ||||
\(171\) | −1.09781e31 | + | 1.90147e31i | −0.0459288 | + | 0.0795510i | ||||
\(172\) | 3.14400e32 | − | 5.44556e32i | 1.20870 | − | 2.09354i | ||||
\(173\) | 1.47917e32 | + | 2.56201e32i | 0.522818 | + | 0.905548i | 0.999647 | + | 0.0265520i | \(0.00845275\pi\) |
−0.476829 | + | 0.878996i | \(0.658214\pi\) | |||||||
\(174\) | 3.45012e32 | 1.12168 | ||||||||
\(175\) | 2.92930e31 | + | 2.29253e32i | 0.0876420 | + | 0.685904i | ||||
\(176\) | 7.08187e32 | 1.95081 | ||||||||
\(177\) | −9.57225e31 | − | 1.65796e32i | −0.242886 | − | 0.420690i | ||||
\(178\) | −2.31211e32 | + | 4.00470e32i | −0.540654 | + | 0.936439i | ||||
\(179\) | −7.85912e31 | + | 1.36124e32i | −0.169436 | + | 0.293471i | −0.938222 | − | 0.346035i | \(-0.887528\pi\) |
0.768786 | + | 0.639506i | \(0.220861\pi\) | |||||||
\(180\) | −1.16512e32 | − | 2.01804e32i | −0.231696 | − | 0.401309i | ||||
\(181\) | 5.19745e32 | 0.953786 | 0.476893 | − | 0.878961i | \(-0.341763\pi\) | ||||
0.476893 | + | 0.878961i | \(0.341763\pi\) | |||||||
\(182\) | −1.90150e33 | − | 7.96135e32i | −3.22153 | − | 1.34881i | ||||
\(183\) | −3.76785e32 | −0.589594 | ||||||||
\(184\) | 1.26699e33 | + | 2.19448e33i | 1.83195 | + | 3.17303i | ||||
\(185\) | 3.52532e32 | − | 6.10604e32i | 0.471204 | − | 0.816149i | ||||
\(186\) | 7.82433e32 | − | 1.35521e33i | 0.967185 | − | 1.67521i | ||||
\(187\) | −4.76105e32 | − | 8.24638e32i | −0.544502 | − | 0.943105i | ||||
\(188\) | −2.66219e32 | −0.281806 | ||||||||
\(189\) | 1.56224e32 | − | 1.18931e32i | 0.153126 | − | 0.116573i | ||||
\(190\) | 3.15510e32 | 0.286475 | ||||||||
\(191\) | −3.58850e31 | − | 6.21547e31i | −0.0301946 | − | 0.0522986i | 0.850533 | − | 0.525921i | \(-0.176279\pi\) |
−0.880728 | + | 0.473623i | \(0.842946\pi\) | |||||||
\(192\) | 6.09440e32 | − | 1.05558e33i | 0.475404 | − | 0.823424i | ||||
\(193\) | −8.51461e32 | + | 1.47477e33i | −0.616004 | + | 1.06695i | 0.374203 | + | 0.927347i | \(0.377916\pi\) |
−0.990207 | + | 0.139604i | \(0.955417\pi\) | |||||||
\(194\) | 3.06390e32 | + | 5.30683e32i | 0.205660 | + | 0.356213i | ||||
\(195\) | 9.60529e32 | 0.598423 | ||||||||
\(196\) | 3.03592e33 | + | 3.08257e33i | 1.75621 | + | 1.78320i | ||||
\(197\) | −3.22202e33 | −1.73128 | −0.865640 | − | 0.500667i | \(-0.833088\pi\) | ||||
−0.865640 | + | 0.500667i | \(0.833088\pi\) | |||||||
\(198\) | −4.41377e32 | − | 7.64487e32i | −0.220376 | − | 0.381702i | ||||
\(199\) | −1.63892e33 | + | 2.83869e33i | −0.760654 | + | 1.31749i | 0.181860 | + | 0.983324i | \(0.441788\pi\) |
−0.942514 | + | 0.334167i | \(0.891545\pi\) | |||||||
\(200\) | 2.25319e33 | − | 3.90265e33i | 0.972442 | − | 1.68432i | ||||
\(201\) | 3.65483e32 | + | 6.33035e32i | 0.146732 | + | 0.254147i | ||||
\(202\) | 1.35564e33 | 0.506467 | ||||||||
\(203\) | 2.37491e33 | − | 1.80799e33i | 0.825952 | − | 0.628787i | ||||
\(204\) | −6.87746e33 | −2.22736 | ||||||||
\(205\) | 3.06858e32 | + | 5.31494e32i | 0.0925778 | + | 0.160349i | ||||
\(206\) | −2.41487e33 | + | 4.18268e33i | −0.678920 | + | 1.17592i | ||||
\(207\) | 8.28416e32 | − | 1.43486e33i | 0.217109 | − | 0.376044i | ||||
\(208\) | 1.05420e34 | + | 1.82593e34i | 2.57635 | + | 4.46237i | ||||
\(209\) | 8.54012e32 | 0.194690 | ||||||||
\(210\) | −2.60252e33 | − | 1.08964e33i | −0.553624 | − | 0.231795i | ||||
\(211\) | −5.85327e33 | −1.16226 | −0.581129 | − | 0.813811i | \(-0.697389\pi\) | ||||
−0.581129 | + | 0.813811i | \(0.697389\pi\) | |||||||
\(212\) | 4.75005e33 | + | 8.22732e33i | 0.880700 | + | 1.52542i | ||||
\(213\) | −1.68671e33 | + | 2.92147e33i | −0.292103 | + | 0.505938i | ||||
\(214\) | 7.70630e33 | − | 1.33477e34i | 1.24694 | − | 2.15977i | ||||
\(215\) | 1.77374e33 | + | 3.07221e33i | 0.268246 | + | 0.464615i | ||||
\(216\) | −3.82835e33 | −0.541292 | ||||||||
\(217\) | −1.71589e33 | − | 1.34289e34i | −0.226895 | − | 1.77572i | ||||
\(218\) | 1.02528e34 | 1.26830 | ||||||||
\(219\) | −5.81182e32 | − | 1.00664e33i | −0.0672780 | − | 0.116529i | ||||
\(220\) | −4.53185e33 | + | 7.84939e33i | −0.491074 | + | 0.850564i | ||||
\(221\) | 1.41745e34 | − | 2.45510e34i | 1.43820 | − | 2.49104i | ||||
\(222\) | −9.64569e33 | − | 1.67068e34i | −0.916675 | − | 1.58773i | ||||
\(223\) | 1.48257e33 | 0.132007 | 0.0660033 | − | 0.997819i | \(-0.478975\pi\) | ||||
0.0660033 | + | 0.997819i | \(0.478975\pi\) | |||||||
\(224\) | −3.57744e33 | − | 2.79978e34i | −0.298522 | − | 2.33629i | ||||
\(225\) | −2.94649e33 | −0.230493 | ||||||||
\(226\) | −3.56408e32 | − | 6.17316e32i | −0.0261442 | − | 0.0452830i | ||||
\(227\) | 4.81341e33 | − | 8.33707e33i | 0.331191 | − | 0.573639i | −0.651555 | − | 0.758601i | \(-0.725883\pi\) |
0.982746 | + | 0.184962i | \(0.0592164\pi\) | |||||||
\(228\) | 3.08411e33 | − | 5.34183e33i | 0.199101 | − | 0.344854i | ||||
\(229\) | 1.26173e34 | + | 2.18538e34i | 0.764455 | + | 1.32407i | 0.940534 | + | 0.339698i | \(0.110325\pi\) |
−0.176080 | + | 0.984376i | \(0.556342\pi\) | |||||||
\(230\) | −2.38086e34 | −1.35419 | ||||||||
\(231\) | −7.04443e33 | − | 2.94941e33i | −0.376246 | − | 0.157529i | ||||
\(232\) | −5.81985e34 | −2.91969 | ||||||||
\(233\) | −2.09373e34 | − | 3.62645e34i | −0.986871 | − | 1.70931i | −0.633307 | − | 0.773901i | \(-0.718303\pi\) |
−0.353565 | − | 0.935410i | \(-0.615031\pi\) | |||||||
\(234\) | 1.31406e34 | − | 2.27602e34i | 0.582083 | − | 1.00820i | ||||
\(235\) | 7.50961e32 | − | 1.30070e33i | 0.0312704 | − | 0.0541619i | ||||
\(236\) | 2.68915e34 | + | 4.65774e34i | 1.05291 | + | 1.82369i | ||||
\(237\) | 1.13490e32 | 0.00417933 | ||||||||
\(238\) | −6.62566e34 | + | 5.04403e34i | −2.29543 | + | 1.74748i | ||||
\(239\) | −2.88639e34 | −0.940990 | −0.470495 | − | 0.882403i | \(-0.655925\pi\) | ||||
−0.470495 | + | 0.882403i | \(0.655925\pi\) | |||||||
\(240\) | 1.44285e34 | + | 2.49909e34i | 0.442750 | + | 0.766865i | ||||
\(241\) | 2.44988e34 | − | 4.24332e34i | 0.707780 | − | 1.22591i | −0.257899 | − | 0.966172i | \(-0.583030\pi\) |
0.965679 | − | 0.259738i | \(-0.0836364\pi\) | |||||||
\(242\) | 1.72277e34 | − | 2.98392e34i | 0.468709 | − | 0.811828i | ||||
\(243\) | 1.25158e33 | + | 2.16780e33i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 1.05851e35 | 2.55589 | ||||||||
\(245\) | −2.36247e34 | + | 6.13756e33i | −0.537600 | + | 0.139665i | ||||
\(246\) | 1.67920e34 | 0.360200 | ||||||||
\(247\) | 1.27128e34 | + | 2.20191e34i | 0.257119 | + | 0.445343i | ||||
\(248\) | −1.31985e35 | + | 2.28605e35i | −2.51753 | + | 4.36050i | ||||
\(249\) | −2.10009e34 | + | 3.63746e34i | −0.377874 | + | 0.654496i | ||||
\(250\) | 5.17865e34 | + | 8.96969e34i | 0.879198 | + | 1.52282i | ||||
\(251\) | 1.28196e34 | 0.205403 | 0.102702 | − | 0.994712i | \(-0.467251\pi\) | ||||
0.102702 | + | 0.994712i | \(0.467251\pi\) | |||||||
\(252\) | −4.38881e34 | + | 3.34115e34i | −0.663803 | + | 0.505345i | ||||
\(253\) | −6.44442e34 | −0.920315 | ||||||||
\(254\) | −3.48082e34 | − | 6.02896e34i | −0.469454 | − | 0.813118i | ||||
\(255\) | 1.94002e34 | − | 3.36021e34i | 0.247157 | − | 0.428089i | ||||
\(256\) | 1.18948e34 | − | 2.06023e34i | 0.143178 | − | 0.247991i | ||||
\(257\) | −7.50140e34 | − | 1.29928e35i | −0.853320 | − | 1.47799i | −0.878195 | − | 0.478303i | \(-0.841252\pi\) |
0.0248748 | − | 0.999691i | \(-0.492081\pi\) | |||||||
\(258\) | 9.70633e34 | 1.04368 | ||||||||
\(259\) | −1.53947e35 | − | 6.44554e34i | −1.56503 | − | 0.655259i | ||||
\(260\) | −2.69843e35 | −2.59417 | ||||||||
\(261\) | 1.90265e34 | + | 3.29549e34i | 0.173010 | + | 0.299662i | ||||
\(262\) | 6.65207e34 | − | 1.15217e35i | 0.572253 | − | 0.991171i | ||||
\(263\) | −2.61896e34 | + | 4.53617e34i | −0.213192 | + | 0.369259i | −0.952712 | − | 0.303876i | \(-0.901719\pi\) |
0.739520 | + | 0.673135i | \(0.235053\pi\) | |||||||
\(264\) | 7.44538e34 | + | 1.28958e35i | 0.573627 | + | 0.993552i | ||||
\(265\) | −5.35964e34 | −0.390905 | ||||||||
\(266\) | −9.46588e33 | − | 7.40818e34i | −0.0653698 | − | 0.511597i | ||||
\(267\) | −5.10027e34 | −0.333565 | ||||||||
\(268\) | −1.02676e35 | − | 1.77840e35i | −0.636083 | − | 1.10173i | ||||
\(269\) | −3.89021e34 | + | 6.73805e34i | −0.228331 | + | 0.395481i | −0.957314 | − | 0.289051i | \(-0.906660\pi\) |
0.728982 | + | 0.684532i | \(0.239994\pi\) | |||||||
\(270\) | 1.79851e34 | − | 3.11511e34i | 0.100032 | − | 0.173260i | ||||
\(271\) | −9.27252e34 | − | 1.60605e35i | −0.488813 | − | 0.846649i | 0.511104 | − | 0.859519i | \(-0.329237\pi\) |
−0.999917 | + | 0.0128696i | \(0.995903\pi\) | |||||||
\(272\) | 8.51686e35 | 4.25628 | ||||||||
\(273\) | −2.88176e34 | − | 2.25532e35i | −0.136553 | − | 1.06869i | ||||
\(274\) | 2.19489e35 | 0.986347 | ||||||||
\(275\) | 5.73034e34 | + | 9.92525e34i | 0.244262 | + | 0.423075i | ||||
\(276\) | −2.32728e35 | + | 4.03097e35i | −0.941169 | + | 1.63015i | ||||
\(277\) | 1.68265e35 | − | 2.91443e35i | 0.645709 | − | 1.11840i | −0.338428 | − | 0.940992i | \(-0.609895\pi\) |
0.984137 | − | 0.177409i | \(-0.0567716\pi\) | |||||||
\(278\) | 1.80710e35 | + | 3.12998e35i | 0.658160 | + | 1.13997i | ||||
\(279\) | 1.72596e35 | 0.596720 | ||||||||
\(280\) | 4.39008e35 | + | 1.83807e35i | 1.44106 | + | 0.603351i | ||||
\(281\) | 2.05051e35 | 0.639175 | 0.319588 | − | 0.947557i | \(-0.396456\pi\) | ||||
0.319588 | + | 0.947557i | \(0.396456\pi\) | |||||||
\(282\) | −2.05472e34 | − | 3.55887e34i | −0.0608331 | − | 0.105366i | ||||
\(283\) | −5.09103e34 | + | 8.81792e34i | −0.143187 | + | 0.248006i | −0.928695 | − | 0.370845i | \(-0.879068\pi\) |
0.785508 | + | 0.618851i | \(0.212402\pi\) | |||||||
\(284\) | 4.73851e35 | − | 8.20734e35i | 1.26627 | − | 2.19324i | ||||
\(285\) | 1.73995e34 | + | 3.01369e34i | 0.0441862 | + | 0.0765328i | ||||
\(286\) | −1.02223e36 | −2.46742 | ||||||||
\(287\) | 1.15589e35 | − | 8.79962e34i | 0.265233 | − | 0.201919i | ||||
\(288\) | 3.59844e35 | 0.785096 | ||||||||
\(289\) | −3.31593e35 | − | 5.74335e35i | −0.687997 | − | 1.19165i | ||||
\(290\) | 2.73409e35 | − | 4.73559e35i | 0.539563 | − | 0.934551i | ||||
\(291\) | −3.37932e34 | + | 5.85315e34i | −0.0634425 | + | 0.109886i | ||||
\(292\) | 1.63273e35 | + | 2.82796e35i | 0.291650 | + | 0.505153i | ||||
\(293\) | 1.10458e35 | 0.187766 | 0.0938831 | − | 0.995583i | \(-0.470072\pi\) | ||||
0.0938831 | + | 0.995583i | \(0.470072\pi\) | |||||||
\(294\) | −1.77768e35 | + | 6.43765e35i | −0.287619 | + | 1.04158i | ||||
\(295\) | −3.03426e35 | −0.467341 | ||||||||
\(296\) | 1.62709e36 | + | 2.81820e36i | 2.38606 | + | 4.13277i | ||||
\(297\) | 4.86814e34 | − | 8.43187e34i | 0.0679822 | − | 0.117749i | ||||
\(298\) | 6.76132e35 | − | 1.17109e36i | 0.899281 | − | 1.55760i | ||||
\(299\) | −9.59312e35 | − | 1.66158e36i | −1.21542 | − | 2.10517i | ||||
\(300\) | 8.27763e35 | 0.999189 | ||||||||
\(301\) | 6.68140e35 | − | 5.08647e35i | 0.768517 | − | 0.585062i | ||||
\(302\) | 5.34238e35 | 0.585645 | ||||||||
\(303\) | 7.47601e34 | + | 1.29488e35i | 0.0781181 | + | 0.135305i | ||||
\(304\) | −3.81927e35 | + | 6.61518e35i | −0.380464 | + | 0.658983i | ||||
\(305\) | −2.98588e35 | + | 5.17170e35i | −0.283612 | + | 0.491231i | ||||
\(306\) | −5.30812e35 | − | 9.19393e35i | −0.480817 | − | 0.832800i | ||||
\(307\) | −1.09624e36 | −0.947105 | −0.473553 | − | 0.880765i | \(-0.657029\pi\) | ||||
−0.473553 | + | 0.880765i | \(0.657029\pi\) | |||||||
\(308\) | 1.97900e36 | + | 8.28583e35i | 1.63103 | + | 0.682890i | ||||
\(309\) | −5.32694e35 | −0.418870 | ||||||||
\(310\) | −1.24010e36 | − | 2.14791e36i | −0.930489 | − | 1.61165i | ||||
\(311\) | −5.96131e34 | + | 1.03253e35i | −0.0426890 | + | 0.0739396i | −0.886580 | − | 0.462574i | \(-0.846926\pi\) |
0.843891 | + | 0.536514i | \(0.180259\pi\) | |||||||
\(312\) | −2.21663e36 | + | 3.83931e36i | −1.51513 | + | 2.62429i | ||||
\(313\) | −6.58463e35 | − | 1.14049e36i | −0.429673 | − | 0.744216i | 0.567171 | − | 0.823600i | \(-0.308038\pi\) |
−0.996844 | + | 0.0793843i | \(0.974705\pi\) | |||||||
\(314\) | −2.63854e36 | −1.64393 | ||||||||
\(315\) | −3.94417e34 | − | 3.08679e35i | −0.0234667 | − | 0.183655i | ||||
\(316\) | −3.18830e34 | −0.0181174 | ||||||||
\(317\) | 8.80122e35 | + | 1.52442e36i | 0.477731 | + | 0.827455i | 0.999674 | − | 0.0255254i | \(-0.00812587\pi\) |
−0.521943 | + | 0.852981i | \(0.674793\pi\) | |||||||
\(318\) | −7.33230e35 | + | 1.26999e36i | −0.380231 | + | 0.658579i | ||||
\(319\) | 7.40056e35 | − | 1.28181e36i | 0.366690 | − | 0.635126i | ||||
\(320\) | −9.65917e35 | − | 1.67302e36i | −0.457367 | − | 0.792183i | ||||
\(321\) | 1.69993e36 | 0.769320 | ||||||||
\(322\) | 7.14300e35 | + | 5.59025e36i | 0.309009 | + | 2.41836i | ||||
\(323\) | 1.02706e36 | 0.424775 | ||||||||
\(324\) | −3.51608e35 | − | 6.09003e35i | −0.139045 | − | 0.240833i | ||||
\(325\) | −1.70603e36 | + | 2.95493e36i | −0.645175 | + | 1.11748i | ||||
\(326\) | −3.27143e36 | + | 5.66629e36i | −1.18327 | + | 2.04948i | ||||
\(327\) | 5.65412e35 | + | 9.79323e35i | 0.195624 | + | 0.338831i | ||||
\(328\) | −2.83256e36 | −0.937581 | ||||||||
\(329\) | −3.27935e35 | − | 1.37302e35i | −0.103860 | − | 0.0434848i | ||||
\(330\) | −1.39910e36 | −0.424029 | ||||||||
\(331\) | 1.33681e35 | + | 2.31543e35i | 0.0387762 | + | 0.0671624i | 0.884762 | − | 0.466043i | \(-0.154321\pi\) |
−0.845986 | + | 0.533205i | \(0.820987\pi\) | |||||||
\(332\) | 5.89981e36 | − | 1.02188e37i | 1.63808 | − | 2.83724i | ||||
\(333\) | 1.06387e36 | − | 1.84267e36i | 0.282778 | − | 0.489787i | ||||
\(334\) | 3.24020e36 | + | 5.61219e36i | 0.824609 | + | 1.42827i | ||||
\(335\) | 1.15853e36 | 0.282330 | ||||||||
\(336\) | 5.43499e36 | − | 4.13759e36i | 1.26847 | − | 0.965668i | ||||
\(337\) | 6.04154e36 | 1.35056 | 0.675281 | − | 0.737561i | \(-0.264022\pi\) | ||||
0.675281 | + | 0.737561i | \(0.264022\pi\) | |||||||
\(338\) | −1.08470e37 | − | 1.87876e37i | −2.32283 | − | 4.02326i | ||||
\(339\) | 3.93098e34 | − | 6.80866e34i | 0.00806502 | − | 0.0139690i | ||||
\(340\) | −5.45013e36 | + | 9.43990e36i | −1.07143 | + | 1.85577i | ||||
\(341\) | −3.35666e36 | − | 5.81390e36i | −0.632366 | − | 1.09529i | ||||
\(342\) | 9.52143e35 | 0.171919 | ||||||||
\(343\) | 2.14989e36 | + | 5.36296e36i | 0.372092 | + | 0.928196i | ||||
\(344\) | −1.63732e37 | −2.71666 | ||||||||
\(345\) | −1.31298e36 | − | 2.27414e36i | −0.208872 | − | 0.361777i | ||||
\(346\) | 6.41450e36 | − | 1.11102e37i | 0.978497 | − | 1.69481i | ||||
\(347\) | −6.08625e36 | + | 1.05417e37i | −0.890374 | + | 1.54217i | −0.0509468 | + | 0.998701i | \(0.516224\pi\) |
−0.839427 | + | 0.543472i | \(0.817109\pi\) | |||||||
\(348\) | −5.34515e36 | − | 9.25806e36i | −0.749999 | − | 1.29904i | ||||
\(349\) | −4.48410e36 | −0.603541 | −0.301771 | − | 0.953381i | \(-0.597578\pi\) | ||||
−0.301771 | + | 0.953381i | \(0.597578\pi\) | |||||||
\(350\) | 7.97457e36 | − | 6.07094e36i | 1.02972 | − | 0.783916i | ||||
\(351\) | 2.89867e36 | 0.359125 | ||||||||
\(352\) | −6.99825e36 | − | 1.21213e37i | −0.831995 | − | 1.44106i | ||||
\(353\) | 4.18305e36 | − | 7.24525e36i | 0.477265 | − | 0.826647i | −0.522395 | − | 0.852703i | \(-0.674961\pi\) |
0.999660 | + | 0.0260559i | \(0.00829480\pi\) | |||||||
\(354\) | −4.15105e36 | + | 7.18982e36i | −0.454580 | + | 0.787356i | ||||
\(355\) | 2.67331e36 | + | 4.63031e36i | 0.281021 | + | 0.486742i | ||||
\(356\) | 1.43283e37 | 1.44600 | ||||||||
\(357\) | −8.47182e36 | − | 3.54704e36i | −0.820895 | − | 0.343698i | ||||
\(358\) | 6.81628e36 | 0.634225 | ||||||||
\(359\) | 9.56664e36 | + | 1.65699e37i | 0.854850 | + | 1.48064i | 0.876784 | + | 0.480884i | \(0.159684\pi\) |
−0.0219341 | + | 0.999759i | \(0.506982\pi\) | |||||||
\(360\) | −3.03382e36 | + | 5.25473e36i | −0.260378 | + | 0.450987i | ||||
\(361\) | 5.60434e36 | − | 9.70700e36i | 0.462030 | − | 0.800259i | ||||
\(362\) | −1.12695e37 | − | 1.95193e37i | −0.892544 | − | 1.54593i | ||||
\(363\) | 3.80024e36 | 0.289177 | ||||||||
\(364\) | 8.09578e36 | + | 6.33592e37i | 0.591955 | + | 4.63276i | ||||
\(365\) | −1.84226e36 | −0.129451 | ||||||||
\(366\) | 8.16972e36 | + | 1.41504e37i | 0.551736 | + | 0.955635i | ||||
\(367\) | 2.32765e36 | − | 4.03161e36i | 0.151098 | − | 0.261710i | −0.780533 | − | 0.625114i | \(-0.785052\pi\) |
0.931632 | + | 0.363404i | \(0.118386\pi\) | |||||||
\(368\) | 2.88204e37 | − | 4.99185e37i | 1.79849 | − | 3.11507i | ||||
\(369\) | 9.26033e35 | + | 1.60394e36i | 0.0555577 | + | 0.0962287i | ||||
\(370\) | −3.05754e37 | −1.76379 | ||||||||
\(371\) | 1.60799e36 | + | 1.25845e37i | 0.0891994 | + | 0.698092i | ||||
\(372\) | −4.84878e37 | −2.58678 | ||||||||
\(373\) | 1.21373e37 | + | 2.10225e37i | 0.622795 | + | 1.07871i | 0.988963 | + | 0.148164i | \(0.0473363\pi\) |
−0.366168 | + | 0.930549i | \(0.619330\pi\) | |||||||
\(374\) | −2.06465e37 | + | 3.57608e37i | −1.01908 | + | 1.76510i | ||||
\(375\) | −5.71177e36 | + | 9.89308e36i | −0.271217 | + | 0.469762i | ||||
\(376\) | 3.46601e36 | + | 6.00330e36i | 0.158345 | + | 0.274262i | ||||
\(377\) | 4.40656e37 | 1.93709 | ||||||||
\(378\) | −7.85387e36 | − | 3.28831e36i | −0.332240 | − | 0.139105i | ||||
\(379\) | −1.28329e37 | −0.522465 | −0.261232 | − | 0.965276i | \(-0.584129\pi\) | ||||
−0.261232 | + | 0.965276i | \(0.584129\pi\) | |||||||
\(380\) | −4.88808e36 | − | 8.46640e36i | −0.191547 | − | 0.331770i | ||||
\(381\) | 3.83916e36 | − | 6.64962e36i | 0.144818 | − | 0.250833i | ||||
\(382\) | −1.55617e36 | + | 2.69536e36i | −0.0565117 | + | 0.0978811i | ||||
\(383\) | −2.86397e36 | − | 4.96054e36i | −0.100135 | − | 0.173439i | 0.811605 | − | 0.584206i | \(-0.198594\pi\) |
−0.911740 | + | 0.410767i | \(0.865261\pi\) | |||||||
\(384\) | −1.24661e37 | −0.419688 | ||||||||
\(385\) | −9.63077e36 | + | 7.33178e36i | −0.312234 | + | 0.237700i | ||||
\(386\) | 7.38479e37 | 2.30580 | ||||||||
\(387\) | 5.35278e36 | + | 9.27128e36i | 0.160979 | + | 0.278824i | ||||
\(388\) | 9.49357e36 | − | 1.64433e37i | 0.275023 | − | 0.476354i | ||||
\(389\) | −1.35691e37 | + | 2.35024e37i | −0.378689 | + | 0.655908i | −0.990872 | − | 0.134808i | \(-0.956958\pi\) |
0.612183 | + | 0.790716i | \(0.290292\pi\) | |||||||
\(390\) | −2.08269e37 | − | 3.60732e37i | −0.559999 | − | 0.969946i | ||||
\(391\) | −7.75024e37 | −2.00795 | ||||||||
\(392\) | 2.99869e37 | − | 1.08594e38i | 0.748657 | − | 2.71117i | ||||
\(393\) | 1.46737e37 | 0.353060 | ||||||||
\(394\) | 6.98620e37 | + | 1.21005e38i | 1.62012 | + | 2.80612i | ||||
\(395\) | 8.99366e34 | − | 1.55775e35i | 0.00201038 | − | 0.00348209i | ||||
\(396\) | −1.36762e37 | + | 2.36878e37i | −0.294703 | + | 0.510440i | ||||
\(397\) | 2.73526e37 | + | 4.73762e37i | 0.568247 | + | 0.984232i | 0.996739 | + | 0.0806871i | \(0.0257115\pi\) |
−0.428493 | + | 0.903545i | \(0.640955\pi\) | |||||||
\(398\) | 1.42145e38 | 2.84725 | ||||||||
\(399\) | 6.55412e36 | − | 4.98957e36i | 0.126592 | − | 0.0963732i | ||||
\(400\) | −1.02508e38 | −1.90936 | ||||||||
\(401\) | −2.08324e37 | − | 3.60827e37i | −0.374236 | − | 0.648195i | 0.615977 | − | 0.787764i | \(-0.288762\pi\) |
−0.990212 | + | 0.139569i | \(0.955428\pi\) | |||||||
\(402\) | 1.58493e37 | − | 2.74518e37i | 0.274620 | − | 0.475657i | ||||
\(403\) | 9.99338e37 | − | 1.73090e38i | 1.67028 | − | 2.89301i | ||||
\(404\) | −2.10025e37 | − | 3.63774e37i | −0.338642 | − | 0.586545i | ||||
\(405\) | 3.96731e36 | 0.0617161 | ||||||||
\(406\) | −1.19395e38 | − | 4.99890e37i | −1.79208 | − | 0.750320i | ||||
\(407\) | −8.27605e37 | −1.19868 | ||||||||
\(408\) | 8.95402e37 | + | 1.55088e38i | 1.25154 | + | 2.16774i | ||||
\(409\) | −4.78608e37 | + | 8.28974e37i | −0.645643 | + | 1.11829i | 0.338510 | + | 0.940963i | \(0.390077\pi\) |
−0.984153 | + | 0.177323i | \(0.943256\pi\) | |||||||
\(410\) | 1.33070e37 | − | 2.30485e37i | 0.173267 | − | 0.300107i | ||||
\(411\) | 1.21042e37 | + | 2.09651e37i | 0.152136 | + | 0.263506i | ||||
\(412\) | 1.49651e38 | 1.81580 | ||||||||
\(413\) | 9.10334e36 | + | 7.12445e37i | 0.106641 | + | 0.834595i | ||||
\(414\) | −7.18492e37 | −0.812675 | ||||||||
\(415\) | 3.32848e37 | + | 5.76510e37i | 0.363537 | + | 0.629664i | ||||
\(416\) | 2.08351e38 | − | 3.60874e38i | 2.19757 | − | 3.80629i | ||||
\(417\) | −1.99313e37 | + | 3.45220e37i | −0.203031 | + | 0.351660i | ||||
\(418\) | −1.85173e37 | − | 3.20729e37i | −0.182189 | − | 0.315560i | ||||
\(419\) | −8.51756e37 | −0.809491 | −0.404745 | − | 0.914429i | \(-0.632640\pi\) | ||||
−0.404745 | + | 0.914429i | \(0.632640\pi\) | |||||||
\(420\) | 1.10804e37 | + | 8.67176e37i | 0.101728 | + | 0.796146i | ||||
\(421\) | 5.88310e37 | 0.521814 | 0.260907 | − | 0.965364i | \(-0.415978\pi\) | ||||
0.260907 | + | 0.965364i | \(0.415978\pi\) | |||||||
\(422\) | 1.26915e38 | + | 2.19823e38i | 1.08763 | + | 1.88383i | ||||
\(423\) | 2.26624e36 | − | 3.92525e36i | 0.0187660 | − | 0.0325036i | ||||
\(424\) | 1.23685e38 | − | 2.14229e38i | 0.989721 | − | 1.71425i | ||||
\(425\) | 6.89147e37 | + | 1.19364e38i | 0.532933 | + | 0.923067i | ||||
\(426\) | 1.46290e38 | 1.09339 | ||||||||
\(427\) | 1.30390e38 | + | 5.45925e37i | 0.941975 | + | 0.394393i | ||||
\(428\) | −4.77563e38 | −3.33500 | ||||||||
\(429\) | −5.63735e37 | − | 9.76417e37i | −0.380578 | − | 0.659181i | ||||
\(430\) | 7.69190e37 | − | 1.33228e38i | 0.502043 | − | 0.869564i | ||||
\(431\) | 1.18021e38 | − | 2.04419e38i | 0.744801 | − | 1.29003i | −0.205487 | − | 0.978660i | \(-0.565878\pi\) |
0.950288 | − | 0.311373i | \(-0.100789\pi\) | |||||||
\(432\) | 4.35422e37 | + | 7.54173e37i | 0.265703 | + | 0.460210i | ||||
\(433\) | 1.36145e38 | 0.803392 | 0.401696 | − | 0.915773i | \(-0.368421\pi\) | ||||
0.401696 | + | 0.915773i | \(0.368421\pi\) | |||||||
\(434\) | −4.67125e38 | + | 3.55617e38i | −2.66583 | + | 2.02946i | ||||
\(435\) | 6.03111e37 | 0.332892 | ||||||||
\(436\) | −1.58842e38 | − | 2.75123e38i | −0.848031 | − | 1.46883i | ||||
\(437\) | 3.47550e37 | − | 6.01973e37i | 0.179488 | − | 0.310883i | ||||
\(438\) | −2.52032e37 | + | 4.36533e37i | −0.125916 | + | 0.218093i | ||||
\(439\) | −1.46404e38 | − | 2.53580e38i | −0.707650 | − | 1.22569i | −0.965727 | − | 0.259562i | \(-0.916422\pi\) |
0.258076 | − | 0.966125i | \(-0.416911\pi\) | |||||||
\(440\) | 2.36007e38 | 1.10373 | ||||||||
\(441\) | −7.12945e37 | + | 1.85218e37i | −0.322624 | + | 0.0838156i | ||||
\(442\) | −1.22937e39 | −5.38343 | ||||||||
\(443\) | −1.44319e38 | − | 2.49967e38i | −0.611602 | − | 1.05932i | −0.990971 | − | 0.134079i | \(-0.957192\pi\) |
0.379369 | − | 0.925245i | \(-0.376141\pi\) | |||||||
\(444\) | −2.98874e38 | + | 5.17665e38i | −1.22584 | + | 2.12322i | ||||
\(445\) | −4.04177e37 | + | 7.00056e37i | −0.160454 | + | 0.277915i | ||||
\(446\) | −3.21462e37 | − | 5.56789e37i | −0.123531 | − | 0.213961i | ||||
\(447\) | 1.49147e38 | 0.554825 | ||||||||
\(448\) | −3.63845e38 | + | 2.76991e38i | −1.31035 | + | 0.997550i | ||||
\(449\) | 1.65925e38 | 0.578548 | 0.289274 | − | 0.957246i | \(-0.406586\pi\) | ||||
0.289274 | + | 0.957246i | \(0.406586\pi\) | |||||||
\(450\) | 6.38879e37 | + | 1.10657e38i | 0.215694 | + | 0.373592i | ||||
\(451\) | 3.60190e37 | − | 6.23868e37i | 0.117753 | − | 0.203954i | ||||
\(452\) | −1.10434e37 | + | 1.91277e37i | −0.0349619 | + | 0.0605557i | ||||
\(453\) | 2.94618e37 | + | 5.10293e37i | 0.0903306 | + | 0.156457i | ||||
\(454\) | −4.17471e38 | −1.23970 | ||||||||
\(455\) | −3.32399e38 | − | 1.39171e38i | −0.956082 | − | 0.400299i | ||||
\(456\) | −1.60613e38 | −0.447496 | ||||||||
\(457\) | 8.21942e37 | + | 1.42365e38i | 0.221848 | + | 0.384253i | 0.955369 | − | 0.295414i | \(-0.0954576\pi\) |
−0.733521 | + | 0.679667i | \(0.762124\pi\) | |||||||
\(458\) | 5.47154e38 | − | 9.47699e38i | 1.43074 | − | 2.47811i | ||||
\(459\) | 5.85457e37 | − | 1.01404e38i | 0.148324 | − | 0.256904i | ||||
\(460\) | 3.68857e38 | + | 6.38879e38i | 0.905460 | + | 1.56830i | ||||
\(461\) | 4.67204e38 | 1.11133 | 0.555665 | − | 0.831406i | \(-0.312464\pi\) | ||||
0.555665 | + | 0.831406i | \(0.312464\pi\) | |||||||
\(462\) | 4.19755e37 | + | 3.28509e38i | 0.0967581 | + | 0.757248i | ||||
\(463\) | 1.36053e38 | 0.303937 | 0.151968 | − | 0.988385i | \(-0.451439\pi\) | ||||
0.151968 | + | 0.988385i | \(0.451439\pi\) | |||||||
\(464\) | 6.61928e38 | + | 1.14649e39i | 1.43318 | + | 2.48234i | ||||
\(465\) | 1.36776e38 | − | 2.36903e38i | 0.287040 | − | 0.497168i | ||||
\(466\) | −9.07956e38 | + | 1.57263e39i | −1.84701 | + | 3.19911i | ||||
\(467\) | 2.79497e38 | + | 4.84103e38i | 0.551166 | + | 0.954648i | 0.998191 | + | 0.0601263i | \(0.0191504\pi\) |
−0.447024 | + | 0.894522i | \(0.647516\pi\) | |||||||
\(468\) | −8.14329e38 | −1.55681 | ||||||||
\(469\) | −3.47579e37 | − | 2.72022e38i | −0.0644240 | − | 0.504195i | ||||
\(470\) | −6.51315e37 | −0.117050 | ||||||||
\(471\) | −1.45508e38 | − | 2.52028e38i | −0.253563 | − | 0.439183i | ||||
\(472\) | 7.00221e38 | − | 1.21282e39i | 1.18325 | − | 2.04945i | ||||
\(473\) | 2.08202e38 | − | 3.60616e38i | 0.341191 | − | 0.590961i | ||||
\(474\) | −2.46077e36 | − | 4.26218e36i | −0.00391098 | − | 0.00677401i | ||||
\(475\) | −1.23616e38 | −0.190553 | ||||||||
\(476\) | 2.38000e39 | + | 9.96477e38i | 3.55858 | + | 1.48993i | ||||
\(477\) | −1.61743e38 | −0.234589 | ||||||||
\(478\) | 6.25847e38 | + | 1.08400e39i | 0.880569 | + | 1.52519i | ||||
\(479\) | 1.99514e38 | − | 3.45568e38i | 0.272338 | − | 0.471702i | −0.697122 | − | 0.716952i | \(-0.745537\pi\) |
0.969460 | + | 0.245250i | \(0.0788699\pi\) | |||||||
\(480\) | 2.85163e38 | − | 4.93916e38i | 0.377655 | − | 0.654117i | ||||
\(481\) | −1.23197e39 | − | 2.13383e39i | −1.58305 | − | 2.74193i | ||||
\(482\) | −2.12480e39 | −2.64933 | ||||||||
\(483\) | −4.94578e38 | + | 3.76516e38i | −0.598413 | + | 0.455564i | ||||
\(484\) | −1.06761e39 | −1.25358 | ||||||||
\(485\) | 5.35596e37 | + | 9.27680e37i | 0.0610355 | + | 0.105717i | ||||
\(486\) | 5.42752e37 | − | 9.40074e37i | 0.0600310 | − | 0.103977i | ||||
\(487\) | 5.94748e38 | − | 1.03013e39i | 0.638503 | − | 1.10592i | −0.347259 | − | 0.937769i | \(-0.612887\pi\) |
0.985761 | − | 0.168150i | \(-0.0537792\pi\) | |||||||
\(488\) | −1.37811e39 | − | 2.38696e39i | −1.43614 | − | 2.48747i | ||||
\(489\) | −7.21643e38 | −0.730035 | ||||||||
\(490\) | 7.42748e38 | + | 7.54161e38i | 0.729454 | + | 0.740664i | ||||
\(491\) | −1.97818e39 | −1.88618 | −0.943092 | − | 0.332532i | \(-0.892097\pi\) | ||||
−0.943092 | + | 0.332532i | \(0.892097\pi\) | |||||||
\(492\) | −2.60152e38 | − | 4.50597e38i | −0.240843 | − | 0.417152i | ||||
\(493\) | 8.90011e38 | − | 1.54154e39i | 0.800046 | − | 1.38572i | ||||
\(494\) | 5.51294e38 | − | 9.54869e38i | 0.481219 | − | 0.833495i | ||||
\(495\) | −7.71565e37 | − | 1.33639e38i | −0.0654029 | − | 0.113281i | ||||
\(496\) | 6.00459e39 | 4.94310 | ||||||||
\(497\) | 1.00699e39 | − | 7.66612e38i | 0.805117 | − | 0.612926i | ||||
\(498\) | 1.82142e39 | 1.41444 | ||||||||
\(499\) | 9.12792e38 | + | 1.58100e39i | 0.688516 | + | 1.19254i | 0.972318 | + | 0.233662i | \(0.0750708\pi\) |
−0.283802 | + | 0.958883i | \(0.591596\pi\) | |||||||
\(500\) | 1.60462e39 | − | 2.77928e39i | 1.17573 | − | 2.03642i | ||||
\(501\) | −3.57377e38 | + | 6.18994e38i | −0.254378 | + | 0.440595i | ||||
\(502\) | −2.77965e38 | − | 4.81449e38i | −0.192214 | − | 0.332925i | ||||
\(503\) | 1.52641e38 | 0.102550 | 0.0512749 | − | 0.998685i | \(-0.483672\pi\) | ||||
0.0512749 | + | 0.998685i | \(0.483672\pi\) | |||||||
\(504\) | 1.32483e39 | + | 5.54690e38i | 0.864805 | + | 0.362083i | ||||
\(505\) | 2.36978e38 | 0.150309 | ||||||||
\(506\) | 1.39732e39 | + | 2.42024e39i | 0.861222 | + | 1.49168i | ||||
\(507\) | 1.19637e39 | − | 2.07217e39i | 0.716554 | − | 1.24111i | ||||
\(508\) | −1.07854e39 | + | 1.86809e39i | −0.627788 | + | 1.08736i | ||||
\(509\) | −8.94740e38 | − | 1.54973e39i | −0.506161 | − | 0.876697i | −0.999975 | − | 0.00712892i | \(-0.997731\pi\) |
0.493813 | − | 0.869568i | \(-0.335603\pi\) | |||||||
\(510\) | −1.68259e39 | −0.925149 | ||||||||
\(511\) | 5.52712e37 | + | 4.32563e38i | 0.0295390 | + | 0.231178i | ||||
\(512\) | −2.43091e39 | −1.26286 | ||||||||
\(513\) | 5.25081e37 | + | 9.09467e37i | 0.0265170 | + | 0.0459288i | ||||
\(514\) | −3.25301e39 | + | 5.63438e39i | −1.59706 | + | 2.76618i | ||||
\(515\) | −4.22140e38 | + | 7.31168e38i | −0.201489 | + | 0.348989i | ||||
\(516\) | −1.50376e39 | − | 2.60460e39i | −0.697845 | − | 1.20870i | ||||
\(517\) | −1.76296e38 | −0.0795479 | ||||||||
\(518\) | 9.17318e38 | + | 7.17911e39i | 0.402475 | + | 3.14985i | ||||
\(519\) | 1.41497e39 | 0.603699 | ||||||||
\(520\) | 3.51319e39 | + | 6.08502e39i | 1.45765 | + | 2.52472i | ||||
\(521\) | −2.42165e38 | + | 4.19442e38i | −0.0977156 | + | 0.169248i | −0.910739 | − | 0.412983i | \(-0.864487\pi\) |
0.813023 | + | 0.582231i | \(0.197820\pi\) | |||||||
\(522\) | 8.25092e38 | − | 1.42910e39i | 0.323802 | − | 0.560842i | ||||
\(523\) | 1.27044e39 | + | 2.20046e39i | 0.484930 | + | 0.839924i | 0.999850 | − | 0.0173144i | \(-0.00551164\pi\) |
−0.514920 | + | 0.857238i | \(0.672178\pi\) | |||||||
\(524\) | −4.12232e39 | −1.53052 | ||||||||
\(525\) | 1.01966e39 | + | 4.26918e38i | 0.368252 | + | 0.154182i | ||||
\(526\) | 2.27145e39 | 0.798011 | ||||||||
\(527\) | −4.03681e39 | − | 6.99196e39i | −1.37970 | − | 2.38971i | ||||
\(528\) | 1.69362e39 | − | 2.93343e39i | 0.563150 | − | 0.975404i | ||||
\(529\) | −1.07710e39 | + | 1.86559e39i | −0.348456 | + | 0.603543i | ||||
\(530\) | 1.16212e39 | + | 2.01284e39i | 0.365805 | + | 0.633592i | ||||
\(531\) | −9.15676e38 | −0.280460 | ||||||||
\(532\) | −1.84126e39 | + | 1.40173e39i | −0.548778 | + | 0.417778i | ||||
\(533\) | 2.14471e39 | 0.622047 | ||||||||
\(534\) | 1.10588e39 | + | 1.91543e39i | 0.312146 | + | 0.540654i | ||||
\(535\) | 1.34713e39 | − | 2.33329e39i | 0.370066 | − | 0.640973i | ||||
\(536\) | −2.67355e39 | + | 4.63072e39i | −0.714823 | + | 1.23811i | ||||
\(537\) | 3.75899e38 | + | 6.51076e38i | 0.0978237 | + | 0.169436i | ||||
\(538\) | 3.37401e39 | 0.854681 | ||||||||
\(539\) | 2.01044e39 | + | 2.04134e39i | 0.495741 | + | 0.503359i | ||||
\(540\) | −1.11454e39 | −0.267540 | ||||||||
\(541\) | −9.55108e38 | − | 1.65430e39i | −0.223199 | − | 0.386592i | 0.732579 | − | 0.680682i | \(-0.238317\pi\) |
−0.955778 | + | 0.294091i | \(0.904983\pi\) | |||||||
\(542\) | −4.02106e39 | + | 6.96469e39i | −0.914853 | + | 1.58457i | ||||
\(543\) | 1.24296e39 | − | 2.15287e39i | 0.275334 | − | 0.476893i | ||||
\(544\) | −8.41629e39 | − | 1.45774e40i | −1.81525 | − | 3.14411i | ||||
\(545\) | 1.79227e39 | 0.376404 | ||||||||
\(546\) | −7.84515e39 | + | 5.97241e39i | −1.60438 | + | 1.22140i | ||||
\(547\) | −1.26434e39 | −0.251796 | −0.125898 | − | 0.992043i | \(-0.540181\pi\) | ||||
−0.125898 | + | 0.992043i | \(0.540181\pi\) | |||||||
\(548\) | −3.40046e39 | − | 5.88977e39i | −0.659507 | − | 1.14230i | ||||
\(549\) | −9.01075e38 | + | 1.56071e39i | −0.170201 | + | 0.294797i | ||||
\(550\) | 2.48499e39 | − | 4.30412e39i | 0.457157 | − | 0.791819i | ||||
\(551\) | 7.98228e38 | + | 1.38257e39i | 0.143031 | + | 0.247736i | ||||
\(552\) | 1.21199e40 | 2.11535 | ||||||||
\(553\) | −3.92742e37 | − | 1.64436e37i | −0.00667718 | − | 0.00279565i | ||||
\(554\) | −1.45938e40 | −2.41699 | ||||||||
\(555\) | −1.68615e39 | − | 2.92050e39i | −0.272050 | − | 0.471204i | ||||
\(556\) | 5.59933e39 | − | 9.69832e39i | 0.880140 | − | 1.52445i | ||||
\(557\) | 5.55099e38 | − | 9.61459e38i | 0.0850100 | − | 0.147242i | −0.820385 | − | 0.571811i | \(-0.806241\pi\) |
0.905395 | + | 0.424569i | \(0.139574\pi\) | |||||||
\(558\) | −3.74235e39 | − | 6.48195e39i | −0.558404 | − | 0.967185i | ||||
\(559\) | 1.23971e40 | 1.80239 | ||||||||
\(560\) | −1.37217e39 | − | 1.07389e40i | −0.194393 | − | 1.52136i | ||||
\(561\) | −4.55439e39 | −0.628737 | ||||||||
\(562\) | −4.44606e39 | − | 7.70080e39i | −0.598134 | − | 1.03600i | ||||
\(563\) | 2.54665e39 | − | 4.41092e39i | 0.333885 | − | 0.578306i | −0.649385 | − | 0.760460i | \(-0.724974\pi\) |
0.983270 | + | 0.182154i | \(0.0583069\pi\) | |||||||
\(564\) | −6.36659e38 | + | 1.10273e39i | −0.0813504 | + | 0.140903i | ||||
\(565\) | −6.23031e37 | − | 1.07912e38i | −0.00775903 | − | 0.0134390i | ||||
\(566\) | 4.41549e39 | 0.535970 | ||||||||
\(567\) | −1.19027e38 | − | 9.31526e38i | −0.0140828 | − | 0.110215i | ||||
\(568\) | −2.46770e40 | −2.84604 | ||||||||
\(569\) | 6.79842e39 | + | 1.17752e40i | 0.764328 | + | 1.32386i | 0.940601 | + | 0.339514i | \(0.110263\pi\) |
−0.176273 | + | 0.984341i | \(0.556404\pi\) | |||||||
\(570\) | 7.54538e38 | − | 1.30690e39i | 0.0826981 | − | 0.143237i | ||||
\(571\) | −3.08762e38 | + | 5.34792e38i | −0.0329914 | + | 0.0571428i | −0.882050 | − | 0.471156i | \(-0.843837\pi\) |
0.849058 | + | 0.528299i | \(0.177170\pi\) | |||||||
\(572\) | 1.58371e40 | + | 2.74307e40i | 1.64981 | + | 2.85755i | ||||
\(573\) | −3.43274e38 | −0.0348658 | ||||||||
\(574\) | −5.81102e39 | − | 2.43300e39i | −0.575479 | − | 0.240946i | ||||
\(575\) | 9.32810e39 | 0.900761 | ||||||||
\(576\) | −2.91493e39 | − | 5.04881e39i | −0.274475 | − | 0.475404i | ||||
\(577\) | 3.57615e39 | − | 6.19408e39i | 0.328373 | − | 0.568758i | −0.653817 | − | 0.756653i | \(-0.726833\pi\) |
0.982189 | + | 0.187895i | \(0.0601665\pi\) | |||||||
\(578\) | −1.43797e40 | + | 2.49063e40i | −1.28764 | + | 2.23026i | ||||
\(579\) | 4.07251e39 | + | 7.05379e39i | 0.355650 | + | 0.616004i | ||||
\(580\) | −1.69433e40 | −1.44309 | ||||||||
\(581\) | 1.25379e40 | − | 9.54491e39i | 1.04152 | − | 0.792899i | ||||
\(582\) | 2.93091e39 | 0.237476 | ||||||||
\(583\) | 3.14558e39 | + | 5.44830e39i | 0.248603 | + | 0.430593i | ||||
\(584\) | 4.25141e39 | − | 7.36366e39i | 0.327753 | − | 0.567685i | ||||
\(585\) | 2.29709e39 | − | 3.97868e39i | 0.172750 | − | 0.299212i | ||||
\(586\) | −2.39503e39 | − | 4.14832e39i | −0.175710 | − | 0.304338i | ||||
\(587\) | −7.71554e39 | −0.552222 | −0.276111 | − | 0.961126i | \(-0.589046\pi\) | ||||
−0.276111 | + | 0.961126i | \(0.589046\pi\) | |||||||
\(588\) | 2.00289e40 | − | 5.20337e39i | 1.39857 | − | 0.363340i | ||||
\(589\) | 7.24102e39 | 0.493319 | ||||||||
\(590\) | 6.57910e39 | + | 1.13953e40i | 0.437333 | + | 0.757483i | ||||
\(591\) | −7.70540e39 | + | 1.33461e40i | −0.499778 | + | 0.865640i | ||||
\(592\) | 3.70118e40 | − | 6.41063e40i | 2.34248 | − | 4.05729i | ||||
\(593\) | 9.33912e39 | + | 1.61758e40i | 0.576784 | + | 0.999019i | 0.995845 | + | 0.0910610i | \(0.0290258\pi\) |
−0.419062 | + | 0.907958i | \(0.637641\pi\) | |||||||
\(594\) | −4.22218e39 | −0.254468 | ||||||||
\(595\) | −1.15822e40 | + | 8.81740e39i | −0.681234 | + | 0.518615i | ||||
\(596\) | −4.19002e40 | −2.40517 | ||||||||
\(597\) | 7.83888e39 | + | 1.35773e40i | 0.439164 | + | 0.760654i | ||||
\(598\) | −4.16009e40 | + | 7.20549e40i | −2.27476 | + | 3.94000i | ||||
\(599\) | 8.76351e39 | − | 1.51788e40i | 0.467723 | − | 0.810120i | −0.531597 | − | 0.846998i | \(-0.678408\pi\) |
0.999320 | + | 0.0368772i | \(0.0117411\pi\) | |||||||
\(600\) | −1.07770e40 | − | 1.86662e40i | −0.561439 | − | 0.972442i | ||||
\(601\) | −2.95428e40 | −1.50235 | −0.751177 | − | 0.660101i | \(-0.770514\pi\) | ||||
−0.751177 | + | 0.660101i | \(0.770514\pi\) | |||||||
\(602\) | −3.35896e40 | − | 1.40635e40i | −1.66746 | − | 0.698144i | ||||
\(603\) | 3.49619e39 | 0.169431 | ||||||||
\(604\) | −8.27675e39 | − | 1.43357e40i | −0.391583 | − | 0.678242i | ||||
\(605\) | 3.01155e39 | − | 5.21615e39i | 0.139103 | − | 0.240933i | ||||
\(606\) | 3.24200e39 | − | 5.61531e39i | 0.146204 | − | 0.253233i | ||||
\(607\) | 1.14498e40 | + | 1.98317e40i | 0.504155 | + | 0.873221i | 0.999988 | + | 0.00480392i | \(0.00152914\pi\) |
−0.495834 | + | 0.868417i | \(0.665138\pi\) | |||||||
\(608\) | 1.50967e40 | 0.649053 | ||||||||
\(609\) | −1.80944e39 | − | 1.41611e40i | −0.0759617 | − | 0.594491i | ||||
\(610\) | 2.58968e40 | 1.06161 | ||||||||
\(611\) | −2.62432e39 | − | 4.54546e39i | −0.105056 | − | 0.181962i | ||||
\(612\) | −1.64473e40 | + | 2.84876e40i | −0.642984 | + | 1.11368i | ||||
\(613\) | 2.51075e40 | − | 4.34874e40i | 0.958576 | − | 1.66030i | 0.232611 | − | 0.972570i | \(-0.425273\pi\) |
0.725965 | − | 0.687732i | \(-0.241394\pi\) | |||||||
\(614\) | 2.37694e40 | + | 4.11698e40i | 0.886292 | + | 1.53510i | ||||
\(615\) | 2.93539e39 | 0.106900 | ||||||||
\(616\) | −7.08065e39 | − | 5.54146e40i | −0.251856 | − | 1.97108i | ||||
\(617\) | −1.55808e39 | −0.0541322 | −0.0270661 | − | 0.999634i | \(-0.508616\pi\) | ||||
−0.0270661 | + | 0.999634i | \(0.508616\pi\) | |||||||
\(618\) | 1.15502e40 | + | 2.00056e40i | 0.391975 | + | 0.678920i | ||||
\(619\) | 1.96149e40 | − | 3.39740e40i | 0.650236 | − | 1.12624i | −0.332829 | − | 0.942987i | \(-0.608003\pi\) |
0.983065 | − | 0.183255i | \(-0.0586635\pi\) | |||||||
\(620\) | −3.84247e40 | + | 6.65536e40i | −1.24432 | + | 2.15522i | ||||
\(621\) | −3.96229e39 | − | 6.86288e39i | −0.125348 | − | 0.217109i | ||||
\(622\) | 5.17029e39 | 0.159792 | ||||||||
\(623\) | 1.76499e40 | + | 7.38980e39i | 0.532925 | + | 0.223129i | ||||
\(624\) | 1.00844e41 | 2.97492 | ||||||||
\(625\) | −2.94254e39 | − | 5.09662e39i | −0.0848128 | − | 0.146900i | ||||
\(626\) | −2.85545e40 | + | 4.94579e40i | −0.804168 | + | 1.39286i | ||||
\(627\) | 2.04236e39 | − | 3.53747e39i | 0.0562021 | − | 0.0973449i | ||||
\(628\) | 4.08779e40 | + | 7.08027e40i | 1.09919 | + | 1.90386i | ||||
\(629\) | −9.95301e40 | −2.61529 | ||||||||
\(630\) | −1.07374e40 | + | 8.17424e39i | −0.275715 | + | 0.209899i | ||||
\(631\) | 4.34204e40 | 1.08960 | 0.544801 | − | 0.838565i | \(-0.316605\pi\) | ||||
0.544801 | + | 0.838565i | \(0.316605\pi\) | |||||||
\(632\) | 4.15096e38 | + | 7.18968e38i | 0.0101801 | + | 0.0176324i | ||||
\(633\) | −1.39980e40 | + | 2.42452e40i | −0.335515 | + | 0.581129i | ||||
\(634\) | 3.81669e40 | − | 6.61070e40i | 0.894113 | − | 1.54865i | ||||
\(635\) | −6.08478e39 | − | 1.05391e40i | −0.139324 | − | 0.241316i | ||||
\(636\) | 4.54386e40 | 1.01694 | ||||||||
\(637\) | −2.27049e40 | + | 8.22228e40i | −0.496704 | + | 1.79875i | ||||
\(638\) | −6.41856e40 | −1.37258 | ||||||||
\(639\) | 8.06749e39 | + | 1.39733e40i | 0.168646 | + | 0.292103i | ||||
\(640\) | −9.87890e39 | + | 1.71108e40i | −0.201883 | + | 0.349671i | ||||
\(641\) | 2.86437e39 | − | 4.96124e39i | 0.0572253 | − | 0.0991171i | −0.835994 | − | 0.548739i | \(-0.815108\pi\) |
0.893219 | + | 0.449622i | \(0.148441\pi\) | |||||||
\(642\) | −3.68590e40 | − | 6.38416e40i | −0.719922 | − | 1.24694i | ||||
\(643\) | 4.34543e40 | 0.829801 | 0.414900 | − | 0.909867i | \(-0.363816\pi\) | ||||
0.414900 | + | 0.909867i | \(0.363816\pi\) | |||||||
\(644\) | 1.38943e41 | − | 1.05775e41i | 2.59412 | − | 1.97487i | ||||
\(645\) | 1.69675e40 | 0.309743 | ||||||||
\(646\) | −2.22694e40 | − | 3.85718e40i | −0.397500 | − | 0.688491i | ||||
\(647\) | 2.62375e40 | − | 4.54447e40i | 0.457942 | − | 0.793179i | −0.540910 | − | 0.841080i | \(-0.681920\pi\) |
0.998852 | + | 0.0479017i | \(0.0152534\pi\) | |||||||
\(648\) | −9.15543e39 | + | 1.58577e40i | −0.156258 | + | 0.270646i | ||||
\(649\) | 1.78081e40 | + | 3.08445e40i | 0.297214 | + | 0.514790i | ||||
\(650\) | 1.47965e41 | 2.41499 | ||||||||
\(651\) | −5.97284e40 | − | 2.50075e40i | −0.953360 | − | 0.399159i | ||||
\(652\) | 2.02732e41 | 3.16470 | ||||||||
\(653\) | −5.01687e40 | − | 8.68947e40i | −0.765934 | − | 1.32664i | −0.939751 | − | 0.341859i | \(-0.888943\pi\) |
0.173817 | − | 0.984778i | \(-0.444390\pi\) | |||||||
\(654\) | 2.45193e40 | − | 4.24687e40i | 0.366127 | − | 0.634150i | ||||
\(655\) | 1.16284e40 | − | 2.01410e40i | 0.169832 | − | 0.294158i | ||||
\(656\) | 3.22165e40 | + | 5.58007e40i | 0.460228 | + | 0.797138i | ||||
\(657\) | −5.55956e39 | −0.0776859 | ||||||||
\(658\) | 1.95406e39 | + | 1.52929e40i | 0.0267093 | + | 0.209033i | ||||
\(659\) | −3.33498e40 | −0.445917 | −0.222959 | − | 0.974828i | \(-0.571571\pi\) | ||||
−0.222959 | + | 0.974828i | \(0.571571\pi\) | |||||||
\(660\) | 2.16757e40 | + | 3.75434e40i | 0.283521 | + | 0.491074i | ||||
\(661\) | −2.02679e40 | + | 3.51051e40i | −0.259351 | + | 0.449209i | −0.966068 | − | 0.258287i | \(-0.916842\pi\) |
0.706717 | + | 0.707496i | \(0.250175\pi\) | |||||||
\(662\) | 5.79715e39 | − | 1.00410e40i | 0.0725728 | − | 0.125700i | ||||
\(663\) | −6.77963e40 | − | 1.17427e41i | −0.830347 | − | 1.43820i | ||||
\(664\) | −3.07247e41 | −3.68172 | ||||||||
\(665\) | −1.65472e39 | − | 1.29501e40i | −0.0194004 | − | 0.151831i | ||||
\(666\) | −9.22701e40 | −1.05849 | ||||||||
\(667\) | −6.02347e40 | − | 1.04330e41i | −0.676118 | − | 1.17107i | ||||
\(668\) | 1.00398e41 | − | 1.73895e41i | 1.10273 | − | 1.90998i | ||||
\(669\) | 3.54555e39 | − | 6.14108e39i | 0.0381070 | − | 0.0660033i | ||||
\(670\) | −2.51200e40 | − | 4.35091e40i | −0.264201 | − | 0.457610i | ||||
\(671\) | 7.00966e40 | 0.721473 | ||||||||
\(672\) | −1.24527e41 | − | 5.21379e40i | −1.25432 | − | 0.525169i | ||||
\(673\) | 1.30182e41 | 1.28332 | 0.641658 | − | 0.766991i | \(-0.278247\pi\) | ||||
0.641658 | + | 0.766991i | \(0.278247\pi\) | |||||||
\(674\) | −1.30997e41 | − | 2.26894e41i | −1.26384 | − | 2.18904i | ||||
\(675\) | −7.04649e39 | + | 1.22049e40i | −0.0665377 | + | 0.115247i | ||||
\(676\) | −3.36097e41 | + | 5.82138e41i | −3.10626 | + | 5.38020i | ||||
\(677\) | 1.21412e40 | + | 2.10292e40i | 0.109831 | + | 0.190233i | 0.915702 | − | 0.401859i | \(-0.131636\pi\) |
−0.805871 | + | 0.592092i | \(0.798302\pi\) | |||||||
\(678\) | −3.40937e39 | −0.0301887 | ||||||||
\(679\) | 2.01751e40 | − | 1.53590e40i | 0.174865 | − | 0.133123i | ||||
\(680\) | 2.83829e41 | 2.40812 | ||||||||
\(681\) | −2.30224e40 | − | 3.98760e40i | −0.191213 | − | 0.331191i | ||||
\(682\) | −1.45563e41 | + | 2.52122e41i | −1.18352 | + | 2.04992i | ||||
\(683\) | −7.69469e40 | + | 1.33276e41i | −0.612478 | + | 1.06084i | 0.378343 | + | 0.925665i | \(0.376494\pi\) |
−0.990821 | + | 0.135178i | \(0.956839\pi\) | |||||||
\(684\) | −1.47512e40 | − | 2.55498e40i | −0.114951 | − | 0.199101i | ||||
\(685\) | 3.83686e40 | 0.292727 | ||||||||
\(686\) | 1.54793e41 | − | 1.97024e41i | 1.15625 | − | 1.47170i | ||||
\(687\) | 1.20696e41 | 0.882716 | ||||||||
\(688\) | 1.86222e41 | + | 3.22546e41i | 1.33352 | + | 2.30972i | ||||
\(689\) | −9.36496e40 | + | 1.62206e41i | −0.656640 | + | 1.13733i | ||||
\(690\) | −5.69378e40 | + | 9.86192e40i | −0.390921 | + | 0.677095i | ||||
\(691\) | −1.04511e41 | − | 1.81019e41i | −0.702639 | − | 1.21701i | −0.967537 | − | 0.252729i | \(-0.918672\pi\) |
0.264898 | − | 0.964276i | \(-0.414662\pi\) | |||||||
\(692\) | −3.97510e41 | −2.61703 | ||||||||
\(693\) | −2.90636e40 | + | 2.21258e40i | −0.187378 | + | 0.142648i | ||||
\(694\) | 5.27866e41 | 3.33281 | ||||||||
\(695\) | 3.15896e40 | + | 5.47148e40i | 0.195328 | + | 0.338318i | ||||
\(696\) | −1.39181e41 | + | 2.41068e41i | −0.842841 | + | 1.45984i | ||||
\(697\) | 4.33175e40 | − | 7.50281e40i | 0.256914 | − | 0.444988i | ||||
\(698\) | 9.72275e40 | + | 1.68403e41i | 0.564788 | + | 0.978242i | ||||
\(699\) | −2.00285e41 | −1.13954 | ||||||||
\(700\) | −2.86455e41 | − | 1.19935e41i | −1.59637 | − | 0.668381i | ||||
\(701\) | −5.72807e40 | −0.312678 | −0.156339 | − | 0.987703i | \(-0.549969\pi\) | ||||
−0.156339 | + | 0.987703i | \(0.549969\pi\) | |||||||
\(702\) | −6.28511e40 | − | 1.08861e41i | −0.336066 | − | 0.582083i | ||||
\(703\) | 4.46330e40 | − | 7.73066e40i | 0.233778 | − | 0.404915i | ||||
\(704\) | −1.13379e41 | + | 1.96379e41i | −0.581742 | + | 1.00761i | ||||
\(705\) | −3.59182e39 | − | 6.22122e39i | −0.0180540 | − | 0.0312704i | ||||
\(706\) | −3.62799e41 | −1.78648 | ||||||||
\(707\) | −7.10978e39 | − | 5.56426e40i | −0.0342985 | − | 0.268427i | ||||
\(708\) | 2.57242e41 | 1.21580 | ||||||||
\(709\) | 9.29914e40 | + | 1.61066e41i | 0.430598 | + | 0.745818i | 0.996925 | − | 0.0783628i | \(-0.0249692\pi\) |
−0.566327 | + | 0.824181i | \(0.691636\pi\) | |||||||
\(710\) | 1.15929e41 | − | 2.00795e41i | 0.525953 | − | 0.910977i | ||||
\(711\) | 2.71410e38 | − | 4.70095e38i | 0.00120647 | − | 0.00208967i | ||||
\(712\) | −1.86545e41 | − | 3.23106e41i | −0.812501 | − | 1.40729i | ||||
\(713\) | −5.46411e41 | −2.33196 | ||||||||
\(714\) | 5.04809e40 | + | 3.95073e41i | 0.211107 | + | 1.65217i | ||||
\(715\) | −1.78695e41 | −0.732278 | ||||||||
\(716\) | −1.05602e41 | − | 1.82908e41i | −0.424066 | − | 0.734504i | ||||
\(717\) | −6.90275e40 | + | 1.19559e41i | −0.271640 | + | 0.470495i | ||||
\(718\) | 4.14861e41 | − | 7.18561e41i | 1.59992 | − | 2.77114i | ||||
\(719\) | 3.94463e40 | + | 6.83230e40i | 0.149086 | + | 0.258225i | 0.930890 | − | 0.365300i | \(-0.119033\pi\) |
−0.781804 | + | 0.623525i | \(0.785700\pi\) | |||||||
\(720\) | 1.38022e41 | 0.511243 | ||||||||
\(721\) | 1.84343e41 | + | 7.71822e40i | 0.669216 | + | 0.280192i | ||||
\(722\) | −4.86069e41 | −1.72945 | ||||||||
\(723\) | −1.17177e41 | − | 2.02957e41i | −0.408637 | − | 0.707780i | ||||
\(724\) | −3.49188e41 | + | 6.04811e41i | −1.19357 | + | 2.06733i | ||||
\(725\) | −1.07121e41 | + | 1.85539e41i | −0.358899 | + | 0.621632i | ||||
\(726\) | −8.23994e40 | − | 1.42720e41i | −0.270609 | − | 0.468709i | ||||
\(727\) | 3.31527e41 | 1.06726 | 0.533630 | − | 0.845718i | \(-0.320827\pi\) | ||||
0.533630 | + | 0.845718i | \(0.320827\pi\) | |||||||
\(728\) | 1.32336e42 | − | 1.00746e42i | 4.17613 | − | 3.17923i | ||||
\(729\) | 1.19725e40 | 0.0370370 | ||||||||
\(730\) | 3.99452e40 | + | 6.91871e40i | 0.121139 | + | 0.209819i | ||||
\(731\) | 2.50389e41 | − | 4.33687e41i | 0.744413 | − | 1.28936i | ||||
\(732\) | 2.53141e41 | − | 4.38452e41i | 0.737821 | − | 1.27794i | ||||
\(733\) | 1.18153e41 | + | 2.04647e41i | 0.337626 | + | 0.584786i | 0.983986 | − | 0.178247i | \(-0.0570426\pi\) |
−0.646359 | + | 0.763033i | \(0.723709\pi\) | |||||||
\(734\) | −2.01879e41 | −0.565586 | ||||||||
\(735\) | −3.10754e40 | + | 1.12536e41i | −0.0853592 | + | 0.309118i | ||||
\(736\) | −1.13921e42 | −3.06813 | ||||||||
\(737\) | −6.79940e40 | − | 1.17769e41i | −0.179553 | − | 0.310994i | ||||
\(738\) | 4.01578e40 | − | 6.95554e40i | 0.103981 | − | 0.180100i | ||||
\(739\) | −1.34150e41 | + | 2.32354e41i | −0.340600 | + | 0.589937i | −0.984544 | − | 0.175136i | \(-0.943964\pi\) |
0.643944 | + | 0.765073i | \(0.277297\pi\) | |||||||
\(740\) | 4.73693e41 | + | 8.20461e41i | 1.17934 | + | 2.04267i | ||||
\(741\) | 1.21609e41 | 0.296895 | ||||||||
\(742\) | 4.37750e41 | − | 3.33254e41i | 1.04802 | − | 0.797845i | ||||
\(743\) | 6.95838e40 | 0.163369 | 0.0816846 | − | 0.996658i | \(-0.473970\pi\) | ||||
0.0816846 | + | 0.996658i | \(0.473970\pi\) | |||||||
\(744\) | 6.31280e41 | + | 1.09341e42i | 1.45350 | + | 2.51753i | ||||
\(745\) | 1.18194e41 | − | 2.04717e41i | 0.266887 | − | 0.462263i | ||||
\(746\) | 5.26340e41 | − | 9.11648e41i | 1.16561 | − | 2.01890i | ||||
\(747\) | 1.00446e41 | + | 1.73978e41i | 0.218165 | + | 0.377874i | ||||
\(748\) | 1.27947e42 | 2.72557 | ||||||||
\(749\) | −5.88274e41 | − | 2.46303e41i | −1.22912 | − | 0.514616i | ||||
\(750\) | 4.95387e41 | 1.01521 | ||||||||
\(751\) | 3.79023e41 | + | 6.56487e41i | 0.761880 | + | 1.31961i | 0.941881 | + | 0.335948i | \(0.109057\pi\) |
−0.180001 | + | 0.983666i | \(0.557610\pi\) | |||||||
\(752\) | 7.88421e40 | − | 1.36559e41i | 0.155453 | − | 0.269253i | ||||
\(753\) | 3.06580e40 | − | 5.31012e40i | 0.0592948 | − | 0.102702i | ||||
\(754\) | −9.55462e41 | − | 1.65491e42i | −1.81271 | − | 3.13971i | ||||
\(755\) | 9.33894e40 | 0.173807 | ||||||||
\(756\) | 3.34384e40 | + | 2.61695e41i | 0.0610491 | + | 0.477782i | ||||
\(757\) | 1.72894e41 | 0.309663 | 0.154831 | − | 0.987941i | \(-0.450517\pi\) | ||||
0.154831 | + | 0.987941i | \(0.450517\pi\) | |||||||
\(758\) | 2.78252e41 | + | 4.81947e41i | 0.488917 | + | 0.846830i | ||||
\(759\) | −1.54117e41 | + | 2.66939e41i | −0.265672 | + | 0.460157i | ||||
\(760\) | −1.27279e41 | + | 2.20454e41i | −0.215259 | + | 0.372839i | ||||
\(761\) | 4.18420e41 | + | 7.24724e41i | 0.694280 | + | 1.20253i | 0.970423 | + | 0.241412i | \(0.0776104\pi\) |
−0.276143 | + | 0.961117i | \(0.589056\pi\) | |||||||
\(762\) | −3.32973e41 | −0.542079 | ||||||||
\(763\) | −5.37715e40 | − | 4.20826e41i | −0.0858907 | − | 0.672197i | ||||
\(764\) | 9.64366e40 | 0.151143 | ||||||||
\(765\) | −9.27905e40 | − | 1.60718e41i | −0.142696 | − | 0.247157i | ||||
\(766\) | −1.24197e41 | + | 2.15116e41i | −0.187411 | + | 0.324605i | ||||
\(767\) | −5.30180e41 | + | 9.18298e41i | −0.785037 | + | 1.35972i | ||||
\(768\) | −5.68923e40 | − | 9.85403e40i | −0.0826638 | − | 0.143178i | ||||
\(769\) | 1.93458e41 | 0.275839 | 0.137920 | − | 0.990443i | \(-0.455958\pi\) | ||||
0.137920 | + | 0.990443i | \(0.455958\pi\) | |||||||
\(770\) | 4.84170e41 | + | 2.02716e41i | 0.677458 | + | 0.283643i | ||||
\(771\) | −7.17579e41 | −0.985329 | ||||||||
\(772\) | −1.14410e42 | − | 1.98163e42i | −1.54174 | − | 2.67038i | ||||
\(773\) | 6.15141e40 | − | 1.06546e41i | 0.0813528 | − | 0.140907i | −0.822478 | − | 0.568796i | \(-0.807409\pi\) |
0.903831 | + | 0.427889i | \(0.140743\pi\) | |||||||
\(774\) | 2.32125e41 | − | 4.02053e41i | 0.301286 | − | 0.521842i | ||||
\(775\) | 4.85866e41 | + | 8.41544e41i | 0.618930 | + | 1.07202i | ||||
\(776\) | −4.94401e41 | −0.618137 | ||||||||
\(777\) | −6.35146e41 | + | 4.83529e41i | −0.779415 | + | 0.593359i | ||||
\(778\) | 1.17686e42 | 1.41749 | ||||||||
\(779\) | 3.88503e40 | + | 6.72908e40i | 0.0459305 | + | 0.0795540i | ||||
\(780\) | −6.45325e41 | + | 1.11774e42i | −0.748871 | + | 1.29708i | ||||
\(781\) | 3.13793e41 | − | 5.43506e41i | 0.357441 | − | 0.619105i | ||||
\(782\) | 1.68046e42 | + | 2.91065e42i | 1.87902 | + | 3.25455i | ||||
\(783\) | 1.82006e41 | 0.199775 | ||||||||
\(784\) | −2.48032e42 | + | 6.44372e41i | −2.67255 | + | 0.694310i | ||||
\(785\) | −4.61240e41 | −0.487885 | ||||||||
\(786\) | −3.18166e41 | − | 5.51080e41i | −0.330390 | − | 0.572253i | ||||
\(787\) | −2.99958e41 | + | 5.19543e41i | −0.305793 | + | 0.529648i | −0.977437 | − | 0.211225i | \(-0.932255\pi\) |
0.671645 | + | 0.740873i | \(0.265588\pi\) | |||||||
\(788\) | 2.16469e42 | − | 3.74936e42i | 2.16654 | − | 3.75255i | ||||
\(789\) | 1.25264e41 | + | 2.16964e41i | 0.123086 | + | 0.213192i | ||||
\(790\) | −7.80028e39 | −0.00752519 | ||||||||
\(791\) | −2.34686e40 | + | 1.78664e40i | −0.0222294 | + | 0.0169230i | ||||
\(792\) | 7.12220e41 | 0.662368 | ||||||||
\(793\) | 1.04345e42 | + | 1.80731e42i | 0.952821 | + | 1.65033i | ||||
\(794\) | 1.18616e42 | − | 2.05449e42i | 1.06352 | − | 1.84207i | ||||
\(795\) | −1.28175e41 | + | 2.22006e41i | −0.112844 | + | 0.195452i | ||||
\(796\) | −2.20219e42 | − | 3.81431e42i | −1.90377 | − | 3.29743i | ||||
\(797\) | 3.01613e41 | 0.256038 | 0.128019 | − | 0.991772i | \(-0.459138\pi\) | ||||
0.128019 | + | 0.991772i | \(0.459138\pi\) | |||||||
\(798\) | −3.29497e41 | − | 1.37956e41i | −0.274669 | − | 0.115000i | ||||
\(799\) | −2.12018e41 | −0.173558 | ||||||||
\(800\) | 1.01297e42 | + | 1.75452e42i | 0.814318 | + | 1.41044i | ||||
\(801\) | −1.21972e41 | + | 2.11262e41i | −0.0962918 | + | 0.166782i | ||||
\(802\) | −9.03404e41 | + | 1.56474e42i | −0.700412 | + | 1.21315i | ||||
\(803\) | 1.08122e41 | + | 1.87273e41i | 0.0823266 | + | 0.142594i | ||||
\(804\) | −9.82190e41 | −0.734485 | ||||||||
\(805\) | 1.24866e41 | + | 9.77225e41i | 0.0917072 | + | 0.717719i | ||||
\(806\) | −8.66734e42 | −6.25213 | ||||||||
\(807\) | 1.86068e41 | + | 3.22279e41i | 0.131827 | + | 0.228331i | ||||
\(808\) | −5.46878e41 | + | 9.47221e41i | −0.380562 | + | 0.659154i | ||||
\(809\) | −5.21117e41 | + | 9.02602e41i | −0.356190 | + | 0.616940i | −0.987321 | − | 0.158737i | \(-0.949258\pi\) |
0.631131 | + | 0.775677i | \(0.282591\pi\) | |||||||
\(810\) | −8.60221e40 | − | 1.48995e41i | −0.0577534 | − | 0.100032i | ||||
\(811\) | 1.54853e42 | 1.02122 | 0.510608 | − | 0.859813i | \(-0.329420\pi\) | ||||
0.510608 | + | 0.859813i | \(0.329420\pi\) | |||||||
\(812\) | 5.08330e41 | + | 3.97829e42i | 0.329294 | + | 2.57712i | ||||
\(813\) | −8.87003e41 | −0.564433 | ||||||||
\(814\) | 1.79447e42 | + | 3.10812e42i | 1.12172 | + | 1.94287i | ||||
\(815\) | −5.71875e41 | + | 9.90517e41i | −0.351169 | + | 0.608242i | ||||
\(816\) | 2.03679e42 | − | 3.52783e42i | 1.22868 | − | 2.12814i | ||||
\(817\) | 2.24568e41 | + | 3.88963e41i | 0.133085 | + | 0.230509i | ||||
\(818\) | 4.15101e42 | 2.41674 | ||||||||
\(819\) | −1.00311e42 | − | 4.19990e41i | −0.573763 | − | 0.240227i | ||||
\(820\) | −8.24643e41 | −0.463410 | ||||||||
\(821\) | −8.53556e41 | − | 1.47840e42i | −0.471255 | − | 0.816238i | 0.528204 | − | 0.849118i | \(-0.322866\pi\) |
−0.999459 | + | 0.0328792i | \(0.989532\pi\) | |||||||
\(822\) | 5.24905e41 | − | 9.09162e41i | 0.284734 | − | 0.493173i | ||||
\(823\) | 1.03426e42 | − | 1.79139e42i | 0.551229 | − | 0.954757i | −0.446957 | − | 0.894555i | \(-0.647492\pi\) |
0.998186 | − | 0.0602017i | \(-0.0191744\pi\) | |||||||
\(824\) | −1.94836e42 | − | 3.37465e42i | −1.02029 | − | 1.76720i | ||||
\(825\) | 5.48161e41 | 0.282050 | ||||||||
\(826\) | 2.47824e42 | − | 1.88666e42i | 1.25295 | − | 0.953854i | ||||
\(827\) | 1.04931e42 | 0.521282 | 0.260641 | − | 0.965436i | \(-0.416066\pi\) | ||||
0.260641 | + | 0.965436i | \(0.416066\pi\) | |||||||
\(828\) | 1.11313e42 | + | 1.92800e42i | 0.543384 | + | 0.941169i | ||||
\(829\) | −1.64530e41 | + | 2.84974e41i | −0.0789231 | + | 0.136699i | −0.902786 | − | 0.430091i | \(-0.858481\pi\) |
0.823862 | + | 0.566790i | \(0.191815\pi\) | |||||||
\(830\) | 1.44341e42 | − | 2.50006e42i | 0.680389 | − | 1.17847i | ||||
\(831\) | −8.04806e41 | − | 1.39397e42i | −0.372800 | − | 0.645709i | ||||
\(832\) | −6.75102e42 | −3.07313 | ||||||||
\(833\) | 2.41782e42 | + | 2.45497e42i | 1.08161 | + | 1.09823i | ||||
\(834\) | 1.72866e42 | 0.759978 | ||||||||
\(835\) | 5.66415e41 | + | 9.81060e41i | 0.244727 | + | 0.423879i | ||||
\(836\) | −5.73763e41 | + | 9.93787e41i | −0.243636 | + | 0.421990i | ||||
\(837\) | 4.12761e41 | − | 7.14923e41i | 0.172258 | − | 0.298360i | ||||
\(838\) | 1.84684e42 | + | 3.19882e42i | 0.757514 | + | 1.31205i | ||||
\(839\) | −3.15290e42 | −1.27105 | −0.635523 | − | 0.772082i | \(-0.719216\pi\) | ||||
−0.635523 | + | 0.772082i | \(0.719216\pi\) | |||||||
\(840\) | 1.81124e42 | − | 1.37887e42i | 0.717673 | − | 0.546355i | ||||
\(841\) | 1.99174e41 | 0.0775694 | ||||||||
\(842\) | −1.27562e42 | − | 2.20943e42i | −0.488309 | − | 0.845776i | ||||
\(843\) | 4.90376e41 | − | 8.49356e41i | 0.184514 | − | 0.319588i | ||||
\(844\) | 3.93248e42 | − | 6.81126e42i | 1.45446 | − | 2.51920i | ||||
\(845\) | −1.89615e42 | − | 3.28423e42i | −0.689367 | − | 1.19402i | ||||
\(846\) | −1.96553e41 | −0.0702440 | ||||||||
\(847\) | −1.31510e42 | − | 5.50617e41i | −0.462010 | − | 0.193437i | ||||
\(848\) | −5.62700e42 | −1.94329 | ||||||||
\(849\) | 2.43502e41 | + | 4.21758e41i | 0.0826688 | + | 0.143187i | ||||
\(850\) | 2.98852e42 | − | 5.17626e42i | 0.997427 | − | 1.72759i | ||||
\(851\) | −3.36803e42 | + | 5.83360e42i | −1.10509 | + | 1.91407i | ||||
\(852\) | −2.26641e42 | − | 3.92554e42i | −0.731080 | − | 1.26627i | ||||
\(853\) | −6.40452e41 | −0.203107 | −0.101554 | − | 0.994830i | \(-0.532381\pi\) | ||||
−0.101554 | + | 0.994830i | \(0.532381\pi\) | |||||||
\(854\) | −7.76951e41 | − | 6.08057e42i | −0.242245 | − | 1.89586i | ||||
\(855\) | 1.66443e41 | 0.0510219 | ||||||||
\(856\) | 6.21757e42 | + | 1.07691e43i | 1.87392 | + | 3.24573i | ||||
\(857\) | 5.70627e41 | − | 9.88355e41i | 0.169095 | − | 0.292881i | −0.769007 | − | 0.639240i | \(-0.779249\pi\) |
0.938102 | + | 0.346359i | \(0.112582\pi\) | |||||||
\(858\) | −2.44466e42 | + | 4.23427e42i | −0.712283 | + | 1.23371i | ||||
\(859\) | −3.45136e41 | − | 5.97793e41i | −0.0988757 | − | 0.171258i | 0.812344 | − | 0.583179i | \(-0.198191\pi\) |
−0.911220 | + | 0.411921i | \(0.864858\pi\) | |||||||
\(860\) | −4.76671e42 | −1.34274 | ||||||||
\(861\) | −8.80670e40 | − | 6.89229e41i | −0.0243931 | − | 0.190905i | ||||
\(862\) | −1.02361e43 | −2.78791 | ||||||||
\(863\) | −1.26223e42 | − | 2.18625e42i | −0.338051 | − | 0.585521i | 0.646015 | − | 0.763324i | \(-0.276434\pi\) |
−0.984066 | + | 0.177803i | \(0.943101\pi\) | |||||||
\(864\) | 8.60560e41 | − | 1.49053e42i | 0.226638 | − | 0.392548i | ||||
\(865\) | 1.12131e42 | − | 1.94217e42i | 0.290397 | − | 0.502982i | ||||
\(866\) | −2.95199e42 | − | 5.11301e42i | −0.751807 | − | 1.30217i | ||||
\(867\) | −3.17200e42 | −0.794430 | ||||||||
\(868\) | 1.67796e43 | + | 7.02541e42i | 4.13281 | + | 1.73036i | ||||
\(869\) | −2.11135e40 | −0.00511416 | ||||||||
\(870\) | −1.30771e42 | − | 2.26502e42i | −0.311517 | − | 0.539563i | ||||
\(871\) | 2.02431e42 | − | 3.50620e42i | 0.474256 | − | 0.821435i | ||||
\(872\) | −4.13605e42 | + | 7.16385e42i | −0.953009 | + | 1.65066i | ||||
\(873\) | 1.61632e41 | + | 2.79954e41i | 0.0366286 | + | 0.0634425i | ||||
\(874\) | −3.01433e42 | −0.671853 | ||||||||
\(875\) | 3.41002e42 | − | 2.59601e42i | 0.747550 | − | 0.569101i | ||||
\(876\) | 1.56186e42 | 0.336768 | ||||||||
\(877\) | −1.94871e40 | − | 3.37526e40i | −0.00413287 | − | 0.00715835i | 0.863952 | − | 0.503575i | \(-0.167982\pi\) |
−0.868084 | + | 0.496417i | \(0.834649\pi\) | |||||||
\(878\) | −6.34889e42 | + | 1.09966e43i | −1.32442 | + | 2.29397i | ||||
\(879\) | 2.64159e41 | − | 4.57537e41i | 0.0542034 | − | 0.0938831i | ||||
\(880\) | −2.68426e42 | − | 4.64927e42i | −0.541783 | − | 0.938396i | ||||
\(881\) | −3.65711e42 | −0.726085 | −0.363043 | − | 0.931773i | \(-0.618262\pi\) | ||||
−0.363043 | + | 0.931773i | \(0.618262\pi\) | |||||||
\(882\) | 2.24145e42 | + | 2.27590e42i | 0.437759 | + | 0.444486i | ||||
\(883\) | 9.03539e42 | 1.73587 | 0.867934 | − | 0.496679i | \(-0.165448\pi\) | ||||
0.867934 | + | 0.496679i | \(0.165448\pi\) | |||||||
\(884\) | 1.90461e43 | + | 3.29889e43i | 3.59956 | + | 6.23461i | ||||
\(885\) | −7.25639e41 | + | 1.25684e42i | −0.134910 | + | 0.233670i | ||||
\(886\) | −6.25844e42 | + | 1.08399e43i | −1.14466 | + | 1.98261i | ||||
\(887\) | −2.46406e42 | − | 4.26788e42i | −0.443363 | − | 0.767927i | 0.554574 | − | 0.832135i | \(-0.312881\pi\) |
−0.997937 | + | 0.0642078i | \(0.979548\pi\) | |||||||
\(888\) | 1.55646e43 | 2.75518 | ||||||||
\(889\) | −2.29204e42 | + | 1.74490e42i | −0.399160 | + | 0.303875i | ||||
\(890\) | 3.50546e42 | 0.600607 | ||||||||
\(891\) | −2.32842e41 | − | 4.03294e41i | −0.0392495 | − | 0.0679822i | ||||
\(892\) | −9.96058e41 | + | 1.72522e42i | −0.165194 | + | 0.286124i | ||||
\(893\) | 9.50768e40 | − | 1.64678e41i | 0.0155142 | − | 0.0268713i | ||||
\(894\) | −3.23392e42 | − | 5.60131e42i | −0.519200 | − | 0.899281i | ||||
\(895\) | 1.19154e42 | 0.188224 | ||||||||
\(896\) | 4.31400e42 | + | 1.80621e42i | 0.670523 | + | 0.280739i | ||||
\(897\) | −9.17671e42 | −1.40345 | ||||||||
\(898\) | −3.59770e42 | − | 6.23140e42i | −0.541400 | − | 0.937732i | ||||
\(899\) | 6.27480e42 | − | 1.08683e43i | 0.929147 | − | 1.60933i | ||||
\(900\) | 1.97958e42 | − | 3.42874e42i | 0.288441 | − | 0.499595i | ||||
\(901\) | 3.78296e42 | + | 6.55227e42i | 0.542403 | + | 0.939469i | ||||
\(902\) | −3.12396e42 | −0.440769 | ||||||||
\(903\) | −5.09056e41 | − | 3.98397e42i | −0.0706795 | − | 0.553151i | ||||
\(904\) | 5.75111e41 | 0.0785796 | ||||||||
\(905\) | −1.97000e42 | − | 3.41214e42i | −0.264888 | − | 0.458800i | ||||
\(906\) | 1.27762e42 | − | 2.21291e42i | 0.169061 | − | 0.292822i | ||||
\(907\) | 1.60921e42 | − | 2.78723e42i | 0.209559 | − | 0.362967i | −0.742017 | − | 0.670381i | \(-0.766131\pi\) |
0.951576 | + | 0.307415i | \(0.0994639\pi\) | |||||||
\(908\) | 6.46772e42 | + | 1.12024e43i | 0.828908 | + | 1.43571i | ||||
\(909\) | 7.15150e41 | 0.0902030 | ||||||||
\(910\) | 1.98066e42 | + | 1.55011e43i | 0.245873 | + | 1.92425i | ||||
\(911\) | −7.56639e42 | −0.924426 | −0.462213 | − | 0.886769i | \(-0.652944\pi\) | ||||
−0.462213 | + | 0.886769i | \(0.652944\pi\) | |||||||
\(912\) | 1.82675e42 | + | 3.16402e42i | 0.219661 | + | 0.380464i | ||||
\(913\) | 3.90697e42 | − | 6.76707e42i | 0.462396 | − | 0.800893i | ||||
\(914\) | 3.56439e42 | − | 6.17370e42i | 0.415207 | − | 0.719160i | ||||
\(915\) | 1.42814e42 | + | 2.47361e42i | 0.163744 | + | 0.283612i | ||||
\(916\) | −3.39074e43 | −3.82657 | ||||||||
\(917\) | −5.07798e42 | − | 2.12608e42i | −0.564073 | − | 0.236170i | ||||
\(918\) | −5.07771e42 | −0.555200 | ||||||||
\(919\) | −3.41818e42 | − | 5.92046e42i | −0.367891 | − | 0.637206i | 0.621344 | − | 0.783538i | \(-0.286587\pi\) |
−0.989236 | + | 0.146331i | \(0.953253\pi\) | |||||||
\(920\) | 9.60457e42 | − | 1.66356e43i | 1.01755 | − | 1.76244i | ||||
\(921\) | −2.62164e42 | + | 4.54081e42i | −0.273406 | + | 0.473553i | ||||
\(922\) | −1.01302e43 | − | 1.75461e43i | −1.03997 | − | 1.80128i | ||||
\(923\) | 1.86844e43 | 1.88823 | ||||||||
\(924\) | 8.16489e42 | − | 6.21583e42i | 0.812282 | − | 0.618380i | ||||
\(925\) | 1.19793e43 | 1.17321 | ||||||||
\(926\) | −2.94999e42 | − | 5.10953e42i | −0.284421 | − | 0.492631i | ||||
\(927\) | −1.27393e42 | + | 2.20651e42i | −0.120917 | + | 0.209435i | ||||
\(928\) | 1.30822e43 | − | 2.26591e43i | 1.22247 | − | 2.11737i | ||||
\(929\) | −9.90516e42 | − | 1.71562e43i | −0.911242 | − | 1.57832i | −0.812312 | − | 0.583223i | \(-0.801792\pi\) |
−0.0989293 | − | 0.995094i | \(-0.531542\pi\) | |||||||
\(930\) | −1.18627e43 | −1.07444 | ||||||||
\(931\) | −2.99105e42 | + | 7.77056e41i | −0.266719 | + | 0.0692918i | ||||
\(932\) | 5.62665e43 | 4.93991 | ||||||||
\(933\) | 2.85128e41 | + | 4.93856e41i | 0.0246465 | + | 0.0426890i | ||||
\(934\) | 1.21205e43 | − | 2.09933e43i | 1.03155 | − | 1.78670i | ||||
\(935\) | −3.60918e42 | + | 6.25129e42i | −0.302441 | + | 0.523843i | ||||
\(936\) | 1.06021e43 | + | 1.83633e43i | 0.874762 | + | 1.51513i | ||||
\(937\) | 1.44338e43 | 1.17262 | 0.586308 | − | 0.810089i | \(-0.300581\pi\) | ||||
0.586308 | + | 0.810089i | \(0.300581\pi\) | |||||||
\(938\) | −9.46230e42 | + | 7.20353e42i | −0.756930 | + | 0.576241i | ||||
\(939\) | −6.29881e42 | −0.496144 | ||||||||
\(940\) | 1.00906e42 | + | 1.74774e42i | 0.0782640 | + | 0.135557i | ||||
\(941\) | −9.28042e42 | + | 1.60742e43i | −0.708791 | + | 1.22766i | 0.256515 | + | 0.966540i | \(0.417426\pi\) |
−0.965306 | + | 0.261122i | \(0.915908\pi\) | |||||||
\(942\) | −6.31003e42 | + | 1.09293e43i | −0.474563 | + | 0.821967i | ||||
\(943\) | −2.93167e42 | − | 5.07780e42i | −0.217118 | − | 0.376059i | ||||
\(944\) | −3.18562e43 | −2.32327 | ||||||||
\(945\) | −1.37292e42 | − | 5.74826e41i | −0.0986019 | − | 0.0412833i | ||||
\(946\) | −1.80575e43 | −1.27713 | ||||||||
\(947\) | 1.18463e43 | + | 2.05184e43i | 0.825103 | + | 1.42912i | 0.901841 | + | 0.432068i | \(0.142216\pi\) |
−0.0767383 | + | 0.997051i | \(0.524451\pi\) | |||||||
\(948\) | −7.62476e40 | + | 1.32065e41i | −0.00523004 | + | 0.00905870i | ||||
\(949\) | −3.21900e42 | + | 5.57548e42i | −0.217451 | + | 0.376636i | ||||
\(950\) | 2.68032e42 | + | 4.64245e42i | 0.178318 | + | 0.308855i | ||||
\(951\) | 8.41920e42 | 0.551637 | ||||||||
\(952\) | −8.51539e42 | − | 6.66431e43i | −0.549501 | − | 4.30051i | ||||
\(953\) | 7.08449e42 | 0.450258 | 0.225129 | − | 0.974329i | \(-0.427720\pi\) | ||||
0.225129 | + | 0.974329i | \(0.427720\pi\) | |||||||
\(954\) | 3.50702e42 | + | 6.07433e42i | 0.219526 | + | 0.380231i | ||||
\(955\) | −2.72032e41 | + | 4.71173e41i | −0.0167715 | + | 0.0290490i | ||||
\(956\) | 1.93920e43 | − | 3.35880e43i | 1.17756 | − | 2.03960i | ||||
\(957\) | −3.53966e42 | − | 6.13088e42i | −0.211709 | − | 0.366690i | ||||
\(958\) | −1.73040e43 | −1.01940 | ||||||||
\(959\) | −1.15113e42 | − | 9.00895e42i | −0.0667965 | − | 0.522763i | ||||
\(960\) | −9.23990e42 | −0.528122 | ||||||||
\(961\) | −1.95795e43 | − | 3.39128e43i | −1.10233 | − | 1.90930i | ||||
\(962\) | −5.34247e43 | + | 9.25344e43i | −2.96281 | + | 5.13174i | ||||
\(963\) | 4.06535e42 | − | 7.04139e42i | 0.222084 | − | 0.384660i | ||||
\(964\) | 3.29188e43 | + | 5.70170e43i | 1.77144 | + | 3.06822i | ||||
\(965\) | 1.29092e43 | 0.684313 | ||||||||
\(966\) | 2.48640e43 | + | 1.04103e43i | 1.29838 | + | 0.543617i | ||||
\(967\) | −3.40884e42 | −0.175357 | −0.0876784 | − | 0.996149i | \(-0.527945\pi\) | ||||
−0.0876784 | + | 0.996149i | \(0.527945\pi\) | |||||||
\(968\) | 1.38996e43 | + | 2.40748e43i | 0.704383 | + | 1.22003i | ||||
\(969\) | 2.45620e42 | − | 4.25426e42i | 0.122622 | − | 0.212387i | ||||
\(970\) | 2.32264e42 | − | 4.02292e42i | 0.114233 | − | 0.197857i | ||||
\(971\) | −6.86986e42 | − | 1.18990e43i | −0.332866 | − | 0.576541i | 0.650207 | − | 0.759757i | \(-0.274682\pi\) |
−0.983073 | + | 0.183217i | \(0.941349\pi\) | |||||||
\(972\) | −3.36346e42 | −0.160556 | ||||||||
\(973\) | 1.18993e43 | − | 9.05879e42i | 0.559610 | − | 0.426024i | ||||
\(974\) | −5.15829e43 | −2.39002 | ||||||||
\(975\) | 8.15988e42 | + | 1.41333e43i | 0.372492 | + | 0.645175i | ||||
\(976\) | −3.13483e43 | + | 5.42968e43i | −1.40991 | + | 2.44203i | ||||
\(977\) | 1.93430e43 | − | 3.35031e43i | 0.857142 | − | 1.48461i | −0.0175016 | − | 0.999847i | \(-0.505571\pi\) |
0.874644 | − | 0.484767i | \(-0.161095\pi\) | |||||||
\(978\) | 1.56472e43 | + | 2.71017e43i | 0.683160 | + | 1.18327i | ||||
\(979\) | 9.48847e42 | 0.408176 | ||||||||
\(980\) | 8.73006e42 | − | 3.16148e43i | 0.370032 | − | 1.34002i | ||||
\(981\) | 5.40870e42 | 0.225887 | ||||||||
\(982\) | 4.28923e43 | + | 7.42916e43i | 1.76507 | + | 3.05719i | ||||
\(983\) | −1.59448e43 | + | 2.76172e43i | −0.646537 | + | 1.11983i | 0.337407 | + | 0.941359i | \(0.390450\pi\) |
−0.983944 | + | 0.178476i | \(0.942883\pi\) | |||||||
\(984\) | −6.77403e42 | + | 1.17330e43i | −0.270656 | + | 0.468791i | ||||
\(985\) | 1.22125e43 | + | 2.11526e43i | 0.480816 | + | 0.832797i | ||||
\(986\) | −7.71914e43 | −2.99470 | ||||||||
\(987\) | −1.35298e42 | + | 1.03001e42i | −0.0517242 | + | 0.0393770i | ||||
\(988\) | −3.41640e43 | −1.28704 | ||||||||
\(989\) | −1.69460e43 | − | 2.93513e43i | −0.629102 | − | 1.08964i | ||||
\(990\) | −3.34592e42 | + | 5.79531e42i | −0.122407 | + | 0.212015i | ||||
\(991\) | −4.39219e42 | + | 7.60750e42i | −0.158348 | + | 0.274267i | −0.934273 | − | 0.356558i | \(-0.883950\pi\) |
0.775925 | + | 0.630825i | \(0.217284\pi\) | |||||||
\(992\) | −5.93369e43 | − | 1.02775e44i | −2.10817 | − | 3.65146i | ||||
\(993\) | 1.27879e42 | 0.0447749 | ||||||||
\(994\) | −5.06249e43 | − | 2.11960e43i | −1.74687 | − | 0.731393i | ||||
\(995\) | 2.48481e43 | 0.845003 | ||||||||
\(996\) | −2.82186e43 | − | 4.88761e43i | −0.945747 | − | 1.63808i | ||||
\(997\) | −3.19189e42 | + | 5.52852e42i | −0.105431 | + | 0.182612i | −0.913914 | − | 0.405907i | \(-0.866956\pi\) |
0.808483 | + | 0.588519i | \(0.200289\pi\) | |||||||
\(998\) | 3.95836e43 | − | 6.85608e43i | 1.28861 | − | 2.23194i | ||||
\(999\) | −5.08845e42 | − | 8.81345e42i | −0.163262 | − | 0.282778i |
(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 | 21.30.e.a.4.1 | ✓ | 38 | |
7.2 | even | 3 | inner | 21.30.e.a.16.1 | yes | 38 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.30.e.a.4.1 | ✓ | 38 | 1.1 | even | 1 | trivial | |
21.30.e.a.16.1 | yes | 38 | 7.2 | even | 3 | inner |