Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [42,9,Mod(19,42)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(42, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("42.19");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 42 = 2 \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 42.g (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: | \(17.1099016226\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 6683 x^{10} + 105006 x^{9} + 34690411 x^{8} + 548172728 x^{7} + \cdots + 30\!\cdots\!24 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{24}\cdot 3^{6}\cdot 7^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Root | \(-32.5038 + 56.2982i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 42.19 |
Dual form | 42.9.g.b.31.1 |
$q$-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 \(\left(\mathbb{Z}/42\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(31\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.65685 | + | 9.79796i | −0.353553 | + | 0.612372i | ||||
\(3\) | −40.5000 | + | 23.3827i | −0.500000 | + | 0.288675i | ||||
\(4\) | −64.0000 | − | 110.851i | −0.250000 | − | 0.433013i | ||||
\(5\) | −1036.40 | − | 598.368i | −1.65825 | − | 0.957389i | −0.973524 | − | 0.228584i | \(-0.926590\pi\) |
−0.684722 | − | 0.728804i | \(-0.740076\pi\) | |||||||
\(6\) | − | 529.090i | − | 0.408248i | ||||||
\(7\) | −2203.25 | + | 954.186i | −0.917640 | + | 0.397412i | ||||
\(8\) | 1448.15 | 0.353553 | ||||||||
\(9\) | 1093.50 | − | 1894.00i | 0.166667 | − | 0.288675i | ||||
\(10\) | 11725.6 | − | 6769.76i | 1.17256 | − | 0.676976i | ||||
\(11\) | 1470.98 | + | 2547.82i | 0.100470 | + | 0.174019i | 0.911878 | − | 0.410460i | \(-0.134632\pi\) |
−0.811408 | + | 0.584480i | \(0.801299\pi\) | |||||||
\(12\) | 5184.00 | + | 2992.98i | 0.250000 | + | 0.144338i | ||||
\(13\) | − | 17133.5i | − | 0.599892i | −0.953956 | − | 0.299946i | \(-0.903031\pi\) | ||
0.953956 | − | 0.299946i | \(-0.0969686\pi\) | |||||||
\(14\) | 3114.42 | − | 26985.1i | 0.0810709 | − | 0.702444i | ||||
\(15\) | 55965.8 | 1.10550 | ||||||||
\(16\) | −8192.00 | + | 14189.0i | −0.125000 | + | 0.216506i | ||||
\(17\) | −105255. | + | 60768.8i | −1.26022 | + | 0.727588i | −0.973117 | − | 0.230312i | \(-0.926025\pi\) |
−0.287102 | + | 0.957900i | \(0.592692\pi\) | |||||||
\(18\) | 12371.5 | + | 21428.1i | 0.117851 | + | 0.204124i | ||||
\(19\) | 92898.9 | + | 53635.2i | 0.712846 | + | 0.411562i | 0.812114 | − | 0.583499i | \(-0.198317\pi\) |
−0.0992677 | + | 0.995061i | \(0.531650\pi\) | |||||||
\(20\) | 153182.i | 0.957389i | ||||||||
\(21\) | 66920.4 | − | 90162.5i | 0.344097 | − | 0.463606i | ||||
\(22\) | −33284.5 | −0.142086 | ||||||||
\(23\) | 134603. | − | 233139.i | 0.480998 | − | 0.833113i | −0.518764 | − | 0.854917i | \(-0.673608\pi\) |
0.999762 | + | 0.0218045i | \(0.00694115\pi\) | |||||||
\(24\) | −58650.3 | + | 33861.7i | −0.176777 | + | 0.102062i | ||||
\(25\) | 520776. | + | 902010.i | 1.33319 | + | 2.30915i | ||||
\(26\) | 167873. | + | 96921.8i | 0.367357 | + | 0.212094i | ||||
\(27\) | 102276.i | 0.192450i | ||||||||
\(28\) | 246781. | + | 183166.i | 0.401494 | + | 0.297997i | ||||
\(29\) | 122955. | 0.173842 | 0.0869210 | − | 0.996215i | \(-0.472297\pi\) | ||||
0.0869210 | + | 0.996215i | \(0.472297\pi\) | |||||||
\(30\) | −316590. | + | 548351.i | −0.390852 | + | 0.676976i | ||||
\(31\) | −468669. | + | 270586.i | −0.507480 | + | 0.292994i | −0.731797 | − | 0.681522i | \(-0.761318\pi\) |
0.224317 | + | 0.974516i | \(0.427985\pi\) | |||||||
\(32\) | −92681.9 | − | 160530.i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −119150. | − | 68791.0i | −0.100470 | − | 0.0580064i | ||||
\(34\) | − | 1.37504e6i | − | 1.02896i | ||||||
\(35\) | 2.85442e6 | + | 329435.i | 1.90215 | + | 0.219532i | ||||
\(36\) | −279936. | −0.166667 | ||||||||
\(37\) | −1.01710e6 | + | 1.76166e6i | −0.542694 | + | 0.939974i | 0.456054 | + | 0.889952i | \(0.349262\pi\) |
−0.998748 | + | 0.0500218i | \(0.984071\pi\) | |||||||
\(38\) | −1.05103e6 | + | 606813.i | −0.504059 | + | 0.291018i | ||||
\(39\) | 400628. | + | 693907.i | 0.173174 | + | 0.299946i | ||||
\(40\) | −1.50087e6 | − | 866529.i | −0.586279 | − | 0.338488i | ||||
\(41\) | − | 3.23405e6i | − | 1.14449i | −0.820084 | − | 0.572244i | \(-0.806073\pi\) | ||
0.820084 | − | 0.572244i | \(-0.193927\pi\) | |||||||
\(42\) | 504850. | + | 1.16572e6i | 0.162243 | + | 0.374625i | ||||
\(43\) | 6.67132e6 | 1.95136 | 0.975681 | − | 0.219197i | \(-0.0703437\pi\) | ||||
0.975681 | + | 0.219197i | \(0.0703437\pi\) | |||||||
\(44\) | 188286. | − | 326120.i | 0.0502350 | − | 0.0870096i | ||||
\(45\) | −2.26662e6 | + | 1.30863e6i | −0.552749 | + | 0.319130i | ||||
\(46\) | 1.52286e6 | + | 2.63767e6i | 0.340117 | + | 0.589100i | ||||
\(47\) | −3.92844e6 | − | 2.26809e6i | −0.805062 | − | 0.464803i | 0.0401762 | − | 0.999193i | \(-0.487208\pi\) |
−0.845238 | + | 0.534390i | \(0.820541\pi\) | |||||||
\(48\) | − | 766204.i | − | 0.144338i | ||||||
\(49\) | 3.94386e6 | − | 4.20463e6i | 0.684128 | − | 0.729362i | ||||
\(50\) | −1.17838e7 | −1.88541 | ||||||||
\(51\) | 2.84188e6 | − | 4.92228e6i | 0.420073 | − | 0.727588i | ||||
\(52\) | −1.89927e6 | + | 1.09654e6i | −0.259761 | + | 0.149973i | ||||
\(53\) | −6.27661e6 | − | 1.08714e7i | −0.795467 | − | 1.37779i | −0.922542 | − | 0.385896i | \(-0.873893\pi\) |
0.127076 | − | 0.991893i | \(-0.459441\pi\) | |||||||
\(54\) | −1.00209e6 | − | 578560.i | −0.117851 | − | 0.0680414i | ||||
\(55\) | − | 3.52075e6i | − | 0.384756i | ||||||
\(56\) | −3.19065e6 | + | 1.38181e6i | −0.324435 | + | 0.140506i | ||||
\(57\) | −5.01654e6 | −0.475231 | ||||||||
\(58\) | −695539. | + | 1.20471e6i | −0.0614624 | + | 0.106456i | ||||
\(59\) | −499865. | + | 288597.i | −0.0412520 | + | 0.0238168i | −0.520484 | − | 0.853871i | \(-0.674249\pi\) |
0.479232 | + | 0.877688i | \(0.340915\pi\) | |||||||
\(60\) | −3.58181e6 | − | 6.20388e6i | −0.276374 | − | 0.478694i | ||||
\(61\) | 8.77059e6 | + | 5.06370e6i | 0.633446 | + | 0.365720i | 0.782085 | − | 0.623171i | \(-0.214156\pi\) |
−0.148640 | + | 0.988891i | \(0.547489\pi\) | |||||||
\(62\) | − | 6.12266e6i | − | 0.414356i | ||||||
\(63\) | −602034. | + | 5.21636e6i | −0.0382172 | + | 0.331135i | ||||
\(64\) | 2.09715e6 | 0.125000 | ||||||||
\(65\) | −1.02521e7 | + | 1.77572e7i | −0.574330 | + | 0.994768i | ||||
\(66\) | 1.34802e6 | − | 778282.i | 0.0710431 | − | 0.0410167i | ||||
\(67\) | −1.18488e6 | − | 2.05228e6i | −0.0587998 | − | 0.101844i | 0.835127 | − | 0.550057i | \(-0.185394\pi\) |
−0.893927 | + | 0.448213i | \(0.852061\pi\) | |||||||
\(68\) | 1.34726e7 | + | 7.77841e6i | 0.630109 | + | 0.363794i | ||||
\(69\) | 1.25895e7i | 0.555408i | ||||||||
\(70\) | −1.93748e7 | + | 2.61039e7i | −0.806947 | + | 1.08721i | ||||
\(71\) | 2.95099e7 | 1.16127 | 0.580636 | − | 0.814163i | \(-0.302804\pi\) | ||||
0.580636 | + | 0.814163i | \(0.302804\pi\) | |||||||
\(72\) | 1.58356e6 | − | 2.74280e6i | 0.0589256 | − | 0.102062i | ||||
\(73\) | 1.72712e7 | − | 9.97155e6i | 0.608180 | − | 0.351133i | −0.164073 | − | 0.986448i | \(-0.552463\pi\) |
0.772253 | + | 0.635316i | \(0.219130\pi\) | |||||||
\(74\) | −1.15071e7 | − | 1.99309e7i | −0.383743 | − | 0.664662i | ||||
\(75\) | −4.21829e7 | − | 2.43543e7i | −1.33319 | − | 0.769716i | ||||
\(76\) | − | 1.37306e7i | − | 0.411562i | ||||||
\(77\) | −5.67204e6 | − | 4.20990e6i | −0.161353 | − | 0.119759i | ||||
\(78\) | −9.06517e6 | −0.244905 | ||||||||
\(79\) | −6014.57 | + | 10417.5i | −0.000154417 | + | 0.000267459i | −0.866103 | − | 0.499866i | \(-0.833382\pi\) |
0.865948 | + | 0.500134i | \(0.166716\pi\) | |||||||
\(80\) | 1.69804e7 | − | 9.80366e6i | 0.414562 | − | 0.239347i | ||||
\(81\) | −2.39148e6 | − | 4.14217e6i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 3.16871e7 | + | 1.82945e7i | 0.700853 | + | 0.404637i | ||||
\(83\) | 1.41766e7i | 0.298716i | 0.988783 | + | 0.149358i | \(0.0477207\pi\) | ||||
−0.988783 | + | 0.149358i | \(0.952279\pi\) | |||||||
\(84\) | −1.42775e7 | − | 1.64781e6i | −0.286772 | − | 0.0330970i | ||||
\(85\) | 1.45449e8 | 2.78634 | ||||||||
\(86\) | −3.77387e7 | + | 6.53653e7i | −0.689910 | + | 1.19496i | ||||
\(87\) | −4.97968e6 | + | 2.87502e6i | −0.0869210 | + | 0.0501839i | ||||
\(88\) | 2.13021e6 | + | 3.68963e6i | 0.0355215 | + | 0.0615251i | ||||
\(89\) | 6.90485e7 | + | 3.98652e7i | 1.10051 | + | 0.635380i | 0.936355 | − | 0.351054i | \(-0.114177\pi\) |
0.164156 | + | 0.986434i | \(0.447510\pi\) | |||||||
\(90\) | − | 2.96109e7i | − | 0.451317i | ||||||
\(91\) | 1.63485e7 | + | 3.77495e7i | 0.238404 | + | 0.550485i | ||||
\(92\) | −3.44583e7 | −0.480998 | ||||||||
\(93\) | 1.26541e7 | − | 2.19175e7i | 0.169160 | − | 0.292994i | ||||
\(94\) | 4.44453e7 | − | 2.56605e7i | 0.569265 | − | 0.328665i | ||||
\(95\) | −6.41871e7 | − | 1.11175e8i | −0.788050 | − | 1.36494i | ||||
\(96\) | 7.50723e6 | + | 4.33430e6i | 0.0883883 | + | 0.0510310i | ||||
\(97\) | 1.14316e8i | 1.29128i | 0.763643 | + | 0.645639i | \(0.223409\pi\) | ||||
−0.763643 | + | 0.645639i | \(0.776591\pi\) | |||||||
\(98\) | 1.88869e7 | + | 6.24268e7i | 0.204766 | + | 0.676809i | ||||
\(99\) | 6.43408e6 | 0.0669800 | ||||||||
\(100\) | 6.66593e7 | − | 1.15457e8i | 0.666593 | − | 1.15457i | ||||
\(101\) | −1.53837e8 | + | 8.88178e7i | −1.47834 | + | 0.853522i | −0.999700 | − | 0.0244879i | \(-0.992204\pi\) |
−0.478643 | + | 0.878010i | \(0.658871\pi\) | |||||||
\(102\) | 3.21522e7 | + | 5.56892e7i | 0.297036 | + | 0.514482i | ||||
\(103\) | −1.38944e8 | − | 8.02194e7i | −1.23450 | − | 0.712739i | −0.266535 | − | 0.963825i | \(-0.585879\pi\) |
−0.967965 | + | 0.251086i | \(0.919212\pi\) | |||||||
\(104\) | − | 2.48120e7i | − | 0.212094i | ||||||
\(105\) | −1.23307e8 | + | 5.34018e7i | −1.01445 | + | 0.439338i | ||||
\(106\) | 1.42024e8 | 1.12496 | ||||||||
\(107\) | −4.78052e7 | + | 8.28011e7i | −0.364704 | + | 0.631686i | −0.988729 | − | 0.149719i | \(-0.952163\pi\) |
0.624025 | + | 0.781405i | \(0.285496\pi\) | |||||||
\(108\) | 1.13374e7 | − | 6.54566e6i | 0.0833333 | − | 0.0481125i | ||||
\(109\) | 9.15619e7 | + | 1.58590e8i | 0.648647 | + | 1.12349i | 0.983446 | + | 0.181200i | \(0.0579983\pi\) |
−0.334799 | + | 0.942290i | \(0.608668\pi\) | |||||||
\(110\) | 3.44962e7 | + | 1.99164e7i | 0.235614 | + | 0.136032i | ||||
\(111\) | − | 9.51298e7i | − | 0.626649i | ||||||
\(112\) | 4.51016e6 | − | 3.90786e7i | 0.0286629 | − | 0.248351i | ||||
\(113\) | −3.19567e7 | −0.195997 | −0.0979983 | − | 0.995187i | \(-0.531244\pi\) | ||||
−0.0979983 | + | 0.995187i | \(0.531244\pi\) | |||||||
\(114\) | 2.83778e7 | − | 4.91518e7i | 0.168020 | − | 0.291018i | ||||
\(115\) | −2.79006e8 | + | 1.61084e8i | −1.59523 | + | 0.921004i | ||||
\(116\) | −7.86913e6 | − | 1.36297e7i | −0.0434605 | − | 0.0752758i | ||||
\(117\) | −3.24508e7 | − | 1.87355e7i | −0.173174 | − | 0.0999820i | ||||
\(118\) | − | 6.53021e6i | − | 0.0336821i | ||||||
\(119\) | 1.73918e8 | − | 2.34322e8i | 0.867276 | − | 1.16849i | ||||
\(120\) | 8.10471e7 | 0.390852 | ||||||||
\(121\) | 1.02852e8 | − | 1.78145e8i | 0.479812 | − | 0.831058i | ||||
\(122\) | −9.92279e7 | + | 5.72892e7i | −0.447914 | + | 0.258603i | ||||
\(123\) | 7.56207e7 | + | 1.30979e8i | 0.330385 | + | 0.572244i | ||||
\(124\) | 5.99896e7 | + | 3.46350e7i | 0.253740 | + | 0.146497i | ||||
\(125\) | − | 7.78988e8i | − | 3.19073i | ||||||
\(126\) | −4.77041e7 | − | 3.54069e7i | −0.189266 | − | 0.140477i | ||||
\(127\) | −2.35388e8 | −0.904835 | −0.452417 | − | 0.891806i | \(-0.649438\pi\) | ||||
−0.452417 | + | 0.891806i | \(0.649438\pi\) | |||||||
\(128\) | −1.18633e7 | + | 2.05478e7i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −2.70188e8 | + | 1.55993e8i | −0.975681 | + | 0.563310i | ||||
\(130\) | −1.15990e8 | − | 2.00900e8i | −0.406112 | − | 0.703407i | ||||
\(131\) | 2.27634e8 | + | 1.31424e8i | 0.772950 | + | 0.446263i | 0.833926 | − | 0.551876i | \(-0.186088\pi\) |
−0.0609761 | + | 0.998139i | \(0.519421\pi\) | |||||||
\(132\) | 1.76105e7i | 0.0580064i | ||||||||
\(133\) | −2.55858e8 | − | 2.95292e7i | −0.817696 | − | 0.0943724i | ||||
\(134\) | 2.68108e7 | 0.0831555 | ||||||||
\(135\) | 6.11986e7 | − | 1.05999e8i | 0.184250 | − | 0.319130i | ||||
\(136\) | −1.52425e8 | + | 8.80027e7i | −0.445555 | + | 0.257241i | ||||
\(137\) | 2.35009e7 | + | 4.07048e7i | 0.0667117 | + | 0.115548i | 0.897452 | − | 0.441112i | \(-0.145416\pi\) |
−0.830740 | + | 0.556660i | \(0.812083\pi\) | |||||||
\(138\) | −1.23352e8 | − | 7.12170e7i | −0.340117 | − | 0.196367i | ||||
\(139\) | − | 3.63001e8i | − | 0.972408i | −0.873845 | − | 0.486204i | \(-0.838381\pi\) | ||
0.873845 | − | 0.486204i | \(-0.161619\pi\) | |||||||
\(140\) | −1.46164e8 | − | 3.37499e8i | −0.380478 | − | 0.878539i | ||||
\(141\) | 2.12136e8 | 0.536708 | ||||||||
\(142\) | −1.66933e8 | + | 2.89136e8i | −0.410572 | + | 0.711131i | ||||
\(143\) | 4.36530e7 | − | 2.52031e7i | 0.104393 | − | 0.0602712i | ||||
\(144\) | 1.79159e7 | + | 3.10313e7i | 0.0416667 | + | 0.0721688i | ||||
\(145\) | −1.27431e8 | − | 7.35724e7i | −0.288273 | − | 0.166434i | ||||
\(146\) | 2.25630e8i | 0.496577i | ||||||||
\(147\) | −6.14109e7 | + | 2.62505e8i | −0.131515 | + | 0.562172i | ||||
\(148\) | 2.60377e8 | 0.542694 | ||||||||
\(149\) | −3.03723e8 | + | 5.26064e8i | −0.616216 | + | 1.06732i | 0.373954 | + | 0.927447i | \(0.378002\pi\) |
−0.990170 | + | 0.139870i | \(0.955332\pi\) | |||||||
\(150\) | 4.77245e8 | − | 2.75537e8i | 0.942705 | − | 0.544271i | ||||
\(151\) | 2.67491e8 | + | 4.63308e8i | 0.514519 | + | 0.891172i | 0.999858 | + | 0.0168466i | \(0.00536270\pi\) |
−0.485339 | + | 0.874326i | \(0.661304\pi\) | |||||||
\(152\) | 1.34532e8 | + | 7.76720e7i | 0.252029 | + | 0.145509i | ||||
\(153\) | 2.65803e8i | 0.485058i | ||||||||
\(154\) | 7.33343e7 | − | 3.17596e7i | 0.130384 | − | 0.0564667i | ||||
\(155\) | 6.47640e8 | 1.12204 | ||||||||
\(156\) | 5.12803e7 | − | 8.88201e7i | 0.0865869 | − | 0.149973i | ||||
\(157\) | 5.42643e8 | − | 3.13295e8i | 0.893132 | − | 0.515650i | 0.0181660 | − | 0.999835i | \(-0.494217\pi\) |
0.874966 | + | 0.484185i | \(0.160884\pi\) | |||||||
\(158\) | −68047.0 | − | 117861.i | −0.000109190 | − | 0.000189122i | ||||
\(159\) | 5.08406e8 | + | 2.93528e8i | 0.795467 | + | 0.459263i | ||||
\(160\) | 2.21832e8i | 0.338488i | ||||||||
\(161\) | −7.41065e7 | + | 6.42101e8i | −0.110294 | + | 0.955652i | ||||
\(162\) | 5.41131e7 | 0.0785674 | ||||||||
\(163\) | −4.29035e8 | + | 7.43110e8i | −0.607774 | + | 1.05270i | 0.383832 | + | 0.923403i | \(0.374604\pi\) |
−0.991606 | + | 0.129293i | \(0.958729\pi\) | |||||||
\(164\) | −3.58498e8 | + | 2.06979e8i | −0.495578 | + | 0.286122i | ||||
\(165\) | 8.23247e7 | + | 1.42591e8i | 0.111069 | + | 0.192378i | ||||
\(166\) | −1.38901e8 | − | 8.01948e7i | −0.182926 | − | 0.105612i | ||||
\(167\) | − | 9.16729e8i | − | 1.17862i | −0.807906 | − | 0.589312i | \(-0.799399\pi\) | ||
0.807906 | − | 0.589312i | \(-0.200601\pi\) | |||||||
\(168\) | 9.69111e7 | − | 1.30569e8i | 0.121657 | − | 0.163909i | ||||
\(169\) | 5.22174e8 | 0.640130 | ||||||||
\(170\) | −8.22781e8 | + | 1.42510e9i | −0.985119 | + | 1.70628i | ||||
\(171\) | 2.03170e8 | − | 1.17300e8i | 0.237615 | − | 0.137187i | ||||
\(172\) | −4.26964e8 | − | 7.39524e8i | −0.487840 | − | 0.844964i | ||||
\(173\) | 1.37843e9 | + | 7.95835e8i | 1.53886 | + | 0.888461i | 0.998906 | + | 0.0467666i | \(0.0148917\pi\) |
0.539954 | + | 0.841695i | \(0.318442\pi\) | |||||||
\(174\) | − | 6.50543e7i | − | 0.0709707i | ||||||
\(175\) | −2.00809e9 | − | 1.49044e9i | −2.14107 | − | 1.58914i | ||||
\(176\) | −4.82011e7 | −0.0502350 | ||||||||
\(177\) | 1.34964e7 | − | 2.33764e7i | 0.0137507 | − | 0.0238168i | ||||
\(178\) | −7.81195e8 | + | 4.51023e8i | −0.778179 | + | 0.449282i | ||||
\(179\) | 2.95445e8 | + | 5.11726e8i | 0.287783 | + | 0.498455i | 0.973280 | − | 0.229620i | \(-0.0737485\pi\) |
−0.685497 | + | 0.728075i | \(0.740415\pi\) | |||||||
\(180\) | 2.90127e8 | + | 1.67505e8i | 0.276374 | + | 0.159565i | ||||
\(181\) | 2.02577e8i | 0.188745i | 0.995537 | + | 0.0943726i | \(0.0300845\pi\) | ||||
−0.995537 | + | 0.0943726i | \(0.969915\pi\) | |||||||
\(182\) | −4.62349e8 | − | 5.33609e7i | −0.421390 | − | 0.0486338i | ||||
\(183\) | −4.73612e8 | −0.422297 | ||||||||
\(184\) | 1.94926e8 | − | 3.37621e8i | 0.170058 | − | 0.294550i | ||||
\(185\) | 2.10824e9 | − | 1.21720e9i | 1.79984 | − | 1.03914i | ||||
\(186\) | 1.43164e8 | + | 2.47968e8i | 0.119614 | + | 0.207178i | ||||
\(187\) | −3.09656e8 | − | 1.78780e8i | −0.253229 | − | 0.146202i | ||||
\(188\) | 5.80631e8i | 0.464803i | ||||||||
\(189\) | −9.75902e7 | − | 2.25340e8i | −0.0764819 | − | 0.176600i | ||||
\(190\) | 1.45239e9 | 1.11447 | ||||||||
\(191\) | 8.00808e8 | − | 1.38704e9i | 0.601721 | − | 1.04221i | −0.390840 | − | 0.920459i | \(-0.627815\pi\) |
0.992561 | − | 0.121752i | \(-0.0388514\pi\) | |||||||
\(192\) | −8.49347e7 | + | 4.90370e7i | −0.0625000 | + | 0.0360844i | ||||
\(193\) | 2.44627e8 | + | 4.23706e8i | 0.176309 | + | 0.305376i | 0.940613 | − | 0.339479i | \(-0.110251\pi\) |
−0.764305 | + | 0.644855i | \(0.776918\pi\) | |||||||
\(194\) | −1.12006e9 | − | 6.46668e8i | −0.790743 | − | 0.456536i | ||||
\(195\) | − | 9.58891e8i | − | 0.663179i | ||||||
\(196\) | −7.18495e8 | − | 1.68086e8i | −0.486855 | − | 0.113895i | ||||
\(197\) | 1.99149e9 | 1.32225 | 0.661125 | − | 0.750276i | \(-0.270079\pi\) | ||||
0.661125 | + | 0.750276i | \(0.270079\pi\) | |||||||
\(198\) | −3.63966e7 | + | 6.30408e7i | −0.0236810 | + | 0.0410167i | ||||
\(199\) | −4.38208e8 | + | 2.52999e8i | −0.279426 | + | 0.161327i | −0.633164 | − | 0.774018i | \(-0.718244\pi\) |
0.353737 | + | 0.935345i | \(0.384911\pi\) | |||||||
\(200\) | 7.54164e8 | + | 1.30625e9i | 0.471353 | + | 0.816407i | ||||
\(201\) | 9.59755e7 | + | 5.54115e7i | 0.0587998 | + | 0.0339481i | ||||
\(202\) | − | 2.00972e9i | − | 1.20706i | ||||||
\(203\) | −2.70902e8 | + | 1.17322e8i | −0.159524 | + | 0.0690869i | ||||
\(204\) | −7.27521e8 | −0.420073 | ||||||||
\(205\) | −1.93515e9 | + | 3.35178e9i | −1.09572 | + | 1.89784i | ||||
\(206\) | 1.57197e9 | − | 9.07579e8i | 0.872923 | − | 0.503983i | ||||
\(207\) | −2.94377e8 | − | 5.09875e8i | −0.160333 | − | 0.277704i | ||||
\(208\) | 2.43107e8 | + | 1.40358e8i | 0.129880 | + | 0.0749865i | ||||
\(209\) | 3.15586e8i | 0.165399i | ||||||||
\(210\) | 1.74301e8 | − | 1.51024e9i | 0.0896236 | − | 0.776550i | ||||
\(211\) | −8.15773e8 | −0.411566 | −0.205783 | − | 0.978598i | \(-0.565974\pi\) | ||||
−0.205783 | + | 0.978598i | \(0.565974\pi\) | |||||||
\(212\) | −8.03407e8 | + | 1.39154e9i | −0.397733 | + | 0.688894i | ||||
\(213\) | −1.19515e9 | + | 6.90020e8i | −0.580636 | + | 0.335230i | ||||
\(214\) | −5.40855e8 | − | 9.36788e8i | −0.257885 | − | 0.446669i | ||||
\(215\) | −6.91418e9 | − | 3.99190e9i | −3.23584 | − | 1.86821i | ||||
\(216\) | 1.48111e8i | 0.0680414i | ||||||||
\(217\) | 7.74407e8 | − | 1.04337e9i | 0.349245 | − | 0.470542i | ||||
\(218\) | −2.07181e9 | −0.917326 | ||||||||
\(219\) | −4.66323e8 | + | 8.07696e8i | −0.202727 | + | 0.351133i | ||||
\(220\) | −3.90280e8 | + | 2.25328e8i | −0.166604 | + | 0.0961889i | ||||
\(221\) | 1.04118e9 | + | 1.80338e9i | 0.436474 | + | 0.755995i | ||||
\(222\) | 9.32078e8 | + | 5.38135e8i | 0.383743 | + | 0.221554i | ||||
\(223\) | − | 4.55344e9i | − | 1.84128i | −0.390412 | − | 0.920640i | \(-0.627667\pi\) | ||
0.390412 | − | 0.920640i | \(-0.372333\pi\) | |||||||
\(224\) | 3.57377e8 | + | 2.65252e8i | 0.141950 | + | 0.105358i | ||||
\(225\) | 2.27787e9 | 0.888791 | ||||||||
\(226\) | 1.80775e8 | − | 3.13111e8i | 0.0692952 | − | 0.120023i | ||||
\(227\) | −2.90949e9 | + | 1.67980e9i | −1.09576 | + | 0.632635i | −0.935103 | − | 0.354376i | \(-0.884693\pi\) |
−0.160653 | + | 0.987011i | \(0.551360\pi\) | |||||||
\(228\) | 3.21058e8 | + | 5.56090e8i | 0.118808 | + | 0.205781i | ||||
\(229\) | 2.19926e8 | + | 1.26974e8i | 0.0799714 | + | 0.0461715i | 0.539452 | − | 0.842016i | \(-0.318631\pi\) |
−0.459481 | + | 0.888188i | \(0.651965\pi\) | |||||||
\(230\) | − | 3.64492e9i | − | 1.30250i | ||||||
\(231\) | 3.28156e8 | + | 3.78734e7i | 0.115248 | + | 0.0133010i | ||||
\(232\) | 1.78058e8 | 0.0614624 | ||||||||
\(233\) | −2.55401e8 | + | 4.42368e8i | −0.0866561 | + | 0.150093i | −0.906096 | − | 0.423073i | \(-0.860951\pi\) |
0.819440 | + | 0.573166i | \(0.194285\pi\) | |||||||
\(234\) | 3.67139e8 | − | 2.11968e8i | 0.122452 | − | 0.0706979i | ||||
\(235\) | 2.71430e9 | + | 4.70131e9i | 0.889994 | + | 1.54151i | ||||
\(236\) | 6.39828e7 | + | 3.69405e7i | 0.0206260 | + | 0.0119084i | ||||
\(237\) | − | 562547.i | − | 0.000178306i | ||||||
\(238\) | 1.31205e9 | + | 3.02957e9i | 0.408923 | + | 0.944219i | ||||
\(239\) | 5.10104e9 | 1.56339 | 0.781694 | − | 0.623662i | \(-0.214356\pi\) | ||||
0.781694 | + | 0.623662i | \(0.214356\pi\) | |||||||
\(240\) | −4.58472e8 | + | 7.94097e8i | −0.138187 | + | 0.239347i | ||||
\(241\) | 2.64383e9 | − | 1.52642e9i | 0.783728 | − | 0.452486i | −0.0540217 | − | 0.998540i | \(-0.517204\pi\) |
0.837750 | + | 0.546054i | \(0.183871\pi\) | |||||||
\(242\) | 1.16364e9 | + | 2.01548e9i | 0.339278 | + | 0.587647i | ||||
\(243\) | 1.93710e8 | + | 1.11839e8i | 0.0555556 | + | 0.0320750i | ||||
\(244\) | − | 1.29631e9i | − | 0.365720i | ||||||
\(245\) | −6.60335e9 | + | 1.99781e9i | −1.83274 | + | 0.554486i | ||||
\(246\) | −1.71110e9 | −0.467235 | ||||||||
\(247\) | 9.18959e8 | − | 1.59168e9i | 0.246893 | − | 0.427631i | ||||
\(248\) | −6.78705e8 | + | 3.91850e8i | −0.179421 | + | 0.103589i | ||||
\(249\) | −3.31486e8 | − | 5.74151e8i | −0.0862319 | − | 0.149358i | ||||
\(250\) | 7.63249e9 | + | 4.40662e9i | 1.95392 | + | 1.12809i | ||||
\(251\) | − | 3.88447e9i | − | 0.978671i | −0.872096 | − | 0.489336i | \(-0.837239\pi\) | ||
0.872096 | − | 0.489336i | \(-0.162761\pi\) | |||||||
\(252\) | 6.16770e8 | − | 2.67111e8i | 0.152940 | − | 0.0662353i | ||||
\(253\) | 7.91994e8 | 0.193304 | ||||||||
\(254\) | 1.33155e9 | − | 2.30632e9i | 0.319907 | − | 0.554096i | ||||
\(255\) | −5.89067e9 | + | 3.40098e9i | −1.39317 | + | 0.804346i | ||||
\(256\) | −1.34218e8 | − | 2.32472e8i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −3.04402e9 | − | 1.75747e9i | −0.697774 | − | 0.402860i | 0.108744 | − | 0.994070i | \(-0.465317\pi\) |
−0.806518 | + | 0.591210i | \(0.798651\pi\) | |||||||
\(258\) | − | 3.52973e9i | − | 0.796640i | ||||||
\(259\) | 5.59969e8 | − | 4.85189e9i | 0.124441 | − | 1.07823i | ||||
\(260\) | 2.62455e9 | 0.574330 | ||||||||
\(261\) | 1.34451e8 | − | 2.32877e8i | 0.0289737 | − | 0.0501839i | ||||
\(262\) | −2.57538e9 | + | 1.48690e9i | −0.546558 | + | 0.315555i | ||||
\(263\) | 5.26263e8 | + | 9.11515e8i | 0.109997 | + | 0.190520i | 0.915769 | − | 0.401706i | \(-0.131583\pi\) |
−0.805772 | + | 0.592226i | \(0.798249\pi\) | |||||||
\(264\) | −1.72547e8 | − | 9.96201e7i | −0.0355215 | − | 0.0205084i | ||||
\(265\) | 1.50229e10i | 3.04628i | ||||||||
\(266\) | 1.73668e9 | − | 2.33984e9i | 0.346890 | − | 0.467369i | ||||
\(267\) | −3.72862e9 | −0.733674 | ||||||||
\(268\) | −1.51665e8 | + | 2.62691e8i | −0.0293999 | + | 0.0509222i | ||||
\(269\) | 1.51989e9 | − | 8.77508e8i | 0.290270 | − | 0.167588i | −0.347794 | − | 0.937571i | \(-0.613069\pi\) |
0.638064 | + | 0.769984i | \(0.279736\pi\) | |||||||
\(270\) | 6.92383e8 | + | 1.19924e9i | 0.130284 | + | 0.225659i | ||||
\(271\) | 5.91326e9 | + | 3.41402e9i | 1.09635 | + | 0.632979i | 0.935260 | − | 0.353960i | \(-0.115165\pi\) |
0.161092 | + | 0.986939i | \(0.448499\pi\) | |||||||
\(272\) | − | 1.99127e9i | − | 0.363794i | ||||||
\(273\) | −1.54480e9 | − | 1.14658e9i | −0.278113 | − | 0.206421i | ||||
\(274\) | −5.31765e8 | −0.0943447 | ||||||||
\(275\) | −1.53210e9 | + | 2.65368e9i | −0.267891 | + | 0.464000i | ||||
\(276\) | 1.39556e9 | − | 8.05729e8i | 0.240499 | − | 0.138852i | ||||
\(277\) | −2.49712e9 | − | 4.32513e9i | −0.424150 | − | 0.734650i | 0.572191 | − | 0.820121i | \(-0.306094\pi\) |
−0.996341 | + | 0.0854712i | \(0.972760\pi\) | |||||||
\(278\) | 3.55667e9 | + | 2.05344e9i | 0.595476 | + | 0.343798i | ||||
\(279\) | 1.18354e9i | 0.195329i | ||||||||
\(280\) | 4.13364e9 | + | 4.77074e8i | 0.672512 | + | 0.0776163i | ||||
\(281\) | 6.44185e9 | 1.03320 | 0.516601 | − | 0.856226i | \(-0.327197\pi\) | ||||
0.516601 | + | 0.856226i | \(0.327197\pi\) | |||||||
\(282\) | −1.20002e9 | + | 2.07850e9i | −0.189755 | + | 0.328665i | ||||
\(283\) | 3.46126e9 | − | 1.99836e9i | 0.539621 | − | 0.311550i | −0.205304 | − | 0.978698i | \(-0.565818\pi\) |
0.744925 | + | 0.667148i | \(0.232485\pi\) | |||||||
\(284\) | −1.88863e9 | − | 3.27121e9i | −0.290318 | − | 0.502845i | ||||
\(285\) | 5.19916e9 | + | 3.00174e9i | 0.788050 | + | 0.454981i | ||||
\(286\) | 5.70281e8i | 0.0852363i | ||||||||
\(287\) | 3.08588e9 | + | 7.12543e9i | 0.454833 | + | 1.05023i | ||||
\(288\) | −4.05391e8 | −0.0589256 | ||||||||
\(289\) | 3.89783e9 | − | 6.75124e9i | 0.558768 | − | 0.967814i | ||||
\(290\) | 1.44172e9 | − | 8.32377e8i | 0.203840 | − | 0.117687i | ||||
\(291\) | −2.67301e9 | − | 4.62979e9i | −0.372760 | − | 0.645639i | ||||
\(292\) | −2.21072e9 | − | 1.27636e9i | −0.304090 | − | 0.175566i | ||||
\(293\) | 3.95148e9i | 0.536154i | 0.963397 | + | 0.268077i | \(0.0863882\pi\) | ||||
−0.963397 | + | 0.268077i | \(0.913612\pi\) | |||||||
\(294\) | −2.22463e9 | − | 2.08666e9i | −0.297761 | − | 0.279294i | ||||
\(295\) | 6.90750e8 | 0.0912079 | ||||||||
\(296\) | −1.47291e9 | + | 2.55116e9i | −0.191871 | + | 0.332331i | ||||
\(297\) | −2.60580e8 | + | 1.50446e8i | −0.0334900 | + | 0.0193355i | ||||
\(298\) | −3.43623e9 | − | 5.95173e9i | −0.435730 | − | 0.754707i | ||||
\(299\) | −3.99449e9 | − | 2.30622e9i | −0.499778 | − | 0.288547i | ||||
\(300\) | 6.23470e9i | 0.769716i | ||||||||
\(301\) | −1.46986e10 | + | 6.36567e9i | −1.79065 | + | 0.775494i | ||||
\(302\) | −6.05263e9 | −0.727639 | ||||||||
\(303\) | 4.15360e9 | − | 7.19424e9i | 0.492781 | − | 0.853522i | ||||
\(304\) | −1.52205e9 | + | 8.78759e8i | −0.178212 | + | 0.102891i | ||||
\(305\) | −6.05991e9 | − | 1.04961e10i | −0.700273 | − | 1.21291i | ||||
\(306\) | −2.60433e9 | − | 1.50361e9i | −0.297036 | − | 0.171494i | ||||
\(307\) | − | 3.15707e9i | − | 0.355410i | −0.984084 | − | 0.177705i | \(-0.943133\pi\) | ||
0.984084 | − | 0.177705i | \(-0.0568674\pi\) | |||||||
\(308\) | −1.03662e8 | + | 8.98186e8i | −0.0115190 | + | 0.0998075i | ||||
\(309\) | 7.50298e9 | 0.823000 | ||||||||
\(310\) | −3.66360e9 | + | 6.34555e9i | −0.396700 | + | 0.687104i | ||||
\(311\) | −6.06279e9 | + | 3.50035e9i | −0.648084 | + | 0.374171i | −0.787722 | − | 0.616031i | \(-0.788739\pi\) |
0.139638 | + | 0.990203i | \(0.455406\pi\) | |||||||
\(312\) | 5.80171e8 | + | 1.00488e9i | 0.0612262 | + | 0.106047i | ||||
\(313\) | 5.73783e9 | + | 3.31274e9i | 0.597820 | + | 0.345151i | 0.768183 | − | 0.640230i | \(-0.221161\pi\) |
−0.170364 | + | 0.985381i | \(0.554494\pi\) | |||||||
\(314\) | 7.08906e9i | 0.729239i | ||||||||
\(315\) | 3.74525e9 | − | 5.04602e9i | 0.380399 | − | 0.512515i | ||||
\(316\) | 1.53973e6 | 0.000154417 | ||||||||
\(317\) | −3.68994e9 | + | 6.39117e9i | −0.365412 | + | 0.632912i | −0.988842 | − | 0.148967i | \(-0.952405\pi\) |
0.623430 | + | 0.781879i | \(0.285738\pi\) | |||||||
\(318\) | −5.75195e9 | + | 3.32089e9i | −0.562480 | + | 0.324748i | ||||
\(319\) | 1.80865e8 | + | 3.13267e8i | 0.0174659 | + | 0.0302519i | ||||
\(320\) | −2.17350e9 | − | 1.25487e9i | −0.207281 | − | 0.119674i | ||||
\(321\) | − | 4.47126e9i | − | 0.421124i | ||||||
\(322\) | −5.87207e9 | − | 4.35836e9i | −0.546220 | − | 0.405415i | ||||
\(323\) | −1.30374e10 | −1.19779 | ||||||||
\(324\) | −3.06110e8 | + | 5.30198e8i | −0.0277778 | + | 0.0481125i | ||||
\(325\) | 1.54546e10 | − | 8.92272e9i | 1.38524 | − | 0.799768i | ||||
\(326\) | −4.85398e9 | − | 8.40734e9i | −0.429761 | − | 0.744368i | ||||
\(327\) | −7.41651e9 | − | 4.28192e9i | −0.648647 | − | 0.374497i | ||||
\(328\) | − | 4.68340e9i | − | 0.404637i | ||||||
\(329\) | 1.08195e10 | + | 1.24871e9i | 0.923475 | + | 0.106581i | ||||
\(330\) | −1.86280e9 | −0.157076 | ||||||||
\(331\) | 7.16497e9 | − | 1.24101e10i | 0.596901 | − | 1.03386i | −0.396374 | − | 0.918089i | \(-0.629732\pi\) |
0.993276 | − | 0.115774i | \(-0.0369350\pi\) | |||||||
\(332\) | 1.57149e9 | − | 9.07300e8i | 0.129348 | − | 0.0746790i | ||||
\(333\) | 2.22439e9 | + | 3.85276e9i | 0.180898 | + | 0.313325i | ||||
\(334\) | 8.98207e9 | + | 5.18580e9i | 0.721756 | + | 0.416706i | ||||
\(335\) | 2.83598e9i | 0.225177i | ||||||||
\(336\) | 7.31101e8 | + | 1.68814e9i | 0.0573614 | + | 0.132450i | ||||
\(337\) | −2.42707e9 | −0.188175 | −0.0940877 | − | 0.995564i | \(-0.529993\pi\) | ||||
−0.0940877 | + | 0.995564i | \(0.529993\pi\) | |||||||
\(338\) | −2.95386e9 | + | 5.11623e9i | −0.226320 | + | 0.391998i | ||||
\(339\) | 1.29425e9 | − | 7.47234e8i | 0.0979983 | − | 0.0565793i | ||||
\(340\) | −9.30871e9 | − | 1.61232e10i | −0.696584 | − | 1.20652i | ||||
\(341\) | −1.37881e9 | − | 7.96054e8i | −0.101973 | − | 0.0588742i | ||||
\(342\) | 2.65420e9i | 0.194012i | ||||||||
\(343\) | −4.67733e9 | + | 1.30270e10i | −0.337926 | + | 0.941173i | ||||
\(344\) | 9.66110e9 | 0.689910 | ||||||||
\(345\) | 7.53316e9 | − | 1.30478e10i | 0.531742 | − | 0.921004i | ||||
\(346\) | −1.55951e10 | + | 9.00384e9i | −1.08814 | + | 0.628237i | ||||
\(347\) | 9.33878e9 | + | 1.61752e10i | 0.644128 | + | 1.11566i | 0.984502 | + | 0.175372i | \(0.0561128\pi\) |
−0.340374 | + | 0.940290i | \(0.610554\pi\) | |||||||
\(348\) | 6.37400e8 | + | 3.68003e8i | 0.0434605 | + | 0.0250919i | ||||
\(349\) | − | 8.48814e9i | − | 0.572151i | −0.958207 | − | 0.286076i | \(-0.907649\pi\) | ||
0.958207 | − | 0.286076i | \(-0.0923509\pi\) | |||||||
\(350\) | 2.59627e10 | − | 1.12439e10i | 1.73013 | − | 0.749284i | ||||
\(351\) | 1.75234e9 | 0.115449 | ||||||||
\(352\) | 2.72667e8 | − | 4.72273e8i | 0.0177608 | − | 0.0307625i | ||||
\(353\) | 2.37153e9 | − | 1.36920e9i | 0.152732 | − | 0.0881798i | −0.421686 | − | 0.906742i | \(-0.638562\pi\) |
0.574418 | + | 0.818562i | \(0.305228\pi\) | |||||||
\(354\) | 1.52694e8 | + | 2.64474e8i | 0.00972319 | + | 0.0168411i | ||||
\(355\) | −3.05841e10 | − | 1.76578e10i | −1.92567 | − | 1.11179i | ||||
\(356\) | − | 1.02055e10i | − | 0.635380i | ||||||
\(357\) | −1.56461e9 | + | 1.35567e10i | −0.0963240 | + | 0.834606i | ||||
\(358\) | −6.68517e9 | −0.406987 | ||||||||
\(359\) | 1.46342e10 | − | 2.53472e10i | 0.881032 | − | 1.52599i | 0.0308370 | − | 0.999524i | \(-0.490183\pi\) |
0.850195 | − | 0.526468i | \(-0.176484\pi\) | |||||||
\(360\) | −3.28241e9 | + | 1.89510e9i | −0.195426 | + | 0.112829i | ||||
\(361\) | −2.73832e9 | − | 4.74290e9i | −0.161233 | − | 0.279264i | ||||
\(362\) | −1.98484e9 | − | 1.14595e9i | −0.115582 | − | 0.0667315i | ||||
\(363\) | 9.61981e9i | 0.554039i | ||||||||
\(364\) | 3.13827e9 | − | 4.22822e9i | 0.178766 | − | 0.240853i | ||||
\(365\) | −2.38666e10 | −1.34468 | ||||||||
\(366\) | 2.67915e9 | − | 4.64043e9i | 0.149305 | − | 0.258603i | ||||
\(367\) | −1.70244e10 | + | 9.82903e9i | −0.938441 | + | 0.541809i | −0.889471 | − | 0.456991i | \(-0.848927\pi\) |
−0.0489698 | + | 0.998800i | \(0.515594\pi\) | |||||||
\(368\) | 2.20533e9 | + | 3.81975e9i | 0.120249 | + | 0.208278i | ||||
\(369\) | −6.12528e9 | − | 3.53643e9i | −0.330385 | − | 0.190748i | ||||
\(370\) | 2.75420e10i | 1.46956i | ||||||||
\(371\) | 2.42023e10 | + | 1.79634e10i | 1.27750 | + | 0.948187i | ||||
\(372\) | −3.23944e9 | −0.169160 | ||||||||
\(373\) | 7.90854e9 | − | 1.36980e10i | 0.408565 | − | 0.707655i | −0.586164 | − | 0.810192i | \(-0.699363\pi\) |
0.994729 | + | 0.102537i | \(0.0326960\pi\) | |||||||
\(374\) | 3.50335e9 | − | 2.02266e9i | 0.179060 | − | 0.103380i | ||||
\(375\) | 1.82148e10 | + | 3.15490e10i | 0.921086 | + | 1.59537i | ||||
\(376\) | −5.68900e9 | − | 3.28454e9i | −0.284632 | − | 0.164333i | ||||
\(377\) | − | 2.10665e9i | − | 0.104286i | ||||||
\(378\) | 2.75992e9 | + | 3.18530e8i | 0.135185 | + | 0.0156021i | ||||
\(379\) | 2.21212e9 | 0.107214 | 0.0536069 | − | 0.998562i | \(-0.482928\pi\) | ||||
0.0536069 | + | 0.998562i | \(0.482928\pi\) | |||||||
\(380\) | −8.21596e9 | + | 1.42305e10i | −0.394025 | + | 0.682471i | ||||
\(381\) | 9.53321e9 | − | 5.50400e9i | 0.452417 | − | 0.261203i | ||||
\(382\) | 9.06011e9 | + | 1.56926e10i | 0.425481 | + | 0.736955i | ||||
\(383\) | 3.02281e10 | + | 1.74522e10i | 1.40481 | + | 0.811065i | 0.994881 | − | 0.101054i | \(-0.0322214\pi\) |
0.409925 | + | 0.912119i | \(0.365555\pi\) | |||||||
\(384\) | − | 1.10958e9i | − | 0.0510310i | ||||||
\(385\) | 3.35945e9 | + | 7.75712e9i | 0.152906 | + | 0.353067i | ||||
\(386\) | −5.53527e9 | −0.249338 | ||||||||
\(387\) | 7.29508e9 | − | 1.26355e10i | 0.325227 | − | 0.563310i | ||||
\(388\) | 1.26721e10 | − | 7.31622e9i | 0.559140 | − | 0.322819i | ||||
\(389\) | 3.35160e9 | + | 5.80515e9i | 0.146371 | + | 0.253522i | 0.929884 | − | 0.367854i | \(-0.119907\pi\) |
−0.783513 | + | 0.621376i | \(0.786574\pi\) | |||||||
\(390\) | 9.39517e9 | + | 5.42431e9i | 0.406112 | + | 0.234469i | ||||
\(391\) | 3.27187e10i | 1.39987i | ||||||||
\(392\) | 5.71132e9 | − | 6.08895e9i | 0.241876 | − | 0.257868i | ||||
\(393\) | −1.22922e10 | −0.515300 | ||||||||
\(394\) | −1.12656e10 | + | 1.95126e10i | −0.467486 | + | 0.809710i | ||||
\(395\) | 1.24670e7 | − | 7.19785e6i | 0.000512124 | − | 0.000295675i | ||||
\(396\) | −4.11781e8 | − | 7.13225e8i | −0.0167450 | − | 0.0290032i | ||||
\(397\) | −6.14520e9 | − | 3.54794e9i | −0.247386 | − | 0.142828i | 0.371181 | − | 0.928561i | \(-0.378953\pi\) |
−0.618567 | + | 0.785732i | \(0.712286\pi\) | |||||||
\(398\) | − | 5.72472e9i | − | 0.228151i | ||||||
\(399\) | 1.10527e10 | − | 4.78671e9i | 0.436091 | − | 0.188862i | ||||
\(400\) | −1.70648e10 | −0.666593 | ||||||||
\(401\) | −1.64715e10 | + | 2.85295e10i | −0.637025 | + | 1.10336i | 0.349057 | + | 0.937101i | \(0.386502\pi\) |
−0.986082 | + | 0.166258i | \(0.946831\pi\) | |||||||
\(402\) | −1.08584e9 | + | 6.26909e8i | −0.0415778 | + | 0.0240049i | ||||
\(403\) | 4.63609e9 | + | 8.02994e9i | 0.175765 | + | 0.304433i | ||||
\(404\) | 1.96911e10 | + | 1.13687e10i | 0.739172 | + | 0.426761i | ||||
\(405\) | 5.72395e9i | 0.212753i | ||||||||
\(406\) | 3.82934e8 | − | 3.31796e9i | 0.0140935 | − | 0.122114i | ||||
\(407\) | −5.98452e9 | −0.218098 | ||||||||
\(408\) | 4.11548e9 | − | 7.12822e9i | 0.148518 | − | 0.257241i | ||||
\(409\) | 3.01927e10 | − | 1.74318e10i | 1.07897 | − | 0.622944i | 0.148352 | − | 0.988935i | \(-0.452603\pi\) |
0.930618 | + | 0.365991i | \(0.119270\pi\) | |||||||
\(410\) | −2.18937e10 | − | 3.79211e10i | −0.774791 | − | 1.34198i | ||||
\(411\) | −1.90357e9 | − | 1.09903e9i | −0.0667117 | − | 0.0385160i | ||||
\(412\) | 2.05362e10i | 0.712739i | ||||||||
\(413\) | 8.25955e8 | − | 1.11282e9i | 0.0283894 | − | 0.0382493i | ||||
\(414\) | 6.66098e9 | 0.226745 | ||||||||
\(415\) | 8.48280e9 | − | 1.46926e10i | 0.285987 | − | 0.495345i | ||||
\(416\) | −2.75044e9 | + | 1.58797e9i | −0.0918393 | + | 0.0530234i | ||||
\(417\) | 8.48794e9 | + | 1.47015e10i | 0.280710 | + | 0.486204i | ||||
\(418\) | −3.09209e9 | − | 1.78522e9i | −0.101286 | − | 0.0584773i | ||||
\(419\) | − | 6.77305e9i | − | 0.219750i | −0.993945 | − | 0.109875i | \(-0.964955\pi\) | ||
0.993945 | − | 0.109875i | \(-0.0350450\pi\) | |||||||
\(420\) | 1.38113e10 | + | 1.02510e10i | 0.443851 | + | 0.329435i | ||||
\(421\) | −3.10072e10 | −0.987040 | −0.493520 | − | 0.869735i | \(-0.664290\pi\) | ||||
−0.493520 | + | 0.869735i | \(0.664290\pi\) | |||||||
\(422\) | 4.61471e9 | − | 7.99291e9i | 0.145511 | − | 0.252032i | ||||
\(423\) | −8.59151e9 | + | 4.96031e9i | −0.268354 | + | 0.154934i | ||||
\(424\) | −9.08951e9 | − | 1.57435e10i | −0.281240 | − | 0.487122i | ||||
\(425\) | −1.09628e11 | − | 6.32939e10i | −3.36021 | − | 1.94002i | ||||
\(426\) | − | 1.56134e10i | − | 0.474087i | ||||||
\(427\) | −2.41556e10 | − | 2.78785e9i | −0.726617 | − | 0.0838607i | ||||
\(428\) | 1.22381e10 | 0.364704 | ||||||||
\(429\) | −1.17863e9 | + | 2.04145e9i | −0.0347976 | + | 0.0602712i | ||||
\(430\) | 7.82250e10 | − | 4.51632e10i | 2.28808 | − | 1.32103i | ||||
\(431\) | 6.62616e9 | + | 1.14769e10i | 0.192023 | + | 0.332593i | 0.945921 | − | 0.324398i | \(-0.105162\pi\) |
−0.753898 | + | 0.656992i | \(0.771829\pi\) | |||||||
\(432\) | −1.45119e9 | − | 8.37844e8i | −0.0416667 | − | 0.0240563i | ||||
\(433\) | 5.78082e10i | 1.64451i | 0.569116 | + | 0.822257i | \(0.307285\pi\) | ||||
−0.569116 | + | 0.822257i | \(0.692715\pi\) | |||||||
\(434\) | 5.84216e9 | + | 1.34898e10i | 0.164670 | + | 0.380230i | ||||
\(435\) | 6.88128e9 | 0.192182 | ||||||||
\(436\) | 1.17199e10 | − | 2.02995e10i | 0.324324 | − | 0.561745i | ||||
\(437\) | 2.50089e10 | − | 1.44389e10i | 0.685755 | − | 0.395921i | ||||
\(438\) | −5.27585e9 | − | 9.13803e9i | −0.143349 | − | 0.248288i | ||||
\(439\) | −3.21334e9 | − | 1.85522e9i | −0.0865164 | − | 0.0499503i | 0.456118 | − | 0.889919i | \(-0.349240\pi\) |
−0.542634 | + | 0.839969i | \(0.682573\pi\) | |||||||
\(440\) | − | 5.09860e9i | − | 0.136032i | ||||||
\(441\) | −3.65094e9 | − | 1.20674e10i | −0.0965274 | − | 0.319051i | ||||
\(442\) | −2.35593e10 | −0.617267 | ||||||||
\(443\) | 1.29870e9 | − | 2.24942e9i | 0.0337205 | − | 0.0584057i | −0.848673 | − | 0.528918i | \(-0.822598\pi\) |
0.882393 | + | 0.470513i | \(0.155931\pi\) | |||||||
\(444\) | −1.05453e10 | + | 6.08831e9i | −0.271347 | + | 0.156662i | ||||
\(445\) | −4.77081e10 | − | 8.26328e10i | −1.21661 | − | 2.10723i | ||||
\(446\) | 4.46144e10 | + | 2.57581e10i | 1.12755 | + | 0.650991i | ||||
\(447\) | − | 2.84074e10i | − | 0.711545i | ||||||
\(448\) | −4.62056e9 | + | 2.00107e9i | −0.114705 | + | 0.0496765i | ||||
\(449\) | −2.26612e10 | −0.557569 | −0.278784 | − | 0.960354i | \(-0.589931\pi\) | ||||
−0.278784 | + | 0.960354i | \(0.589931\pi\) | |||||||
\(450\) | −1.28856e10 | + | 2.23185e10i | −0.314235 | + | 0.544271i | ||||
\(451\) | 8.23976e9 | − | 4.75723e9i | 0.199163 | − | 0.114987i | ||||
\(452\) | 2.04523e9 | + | 3.54244e9i | 0.0489991 | + | 0.0848690i | ||||
\(453\) | −2.16668e10 | − | 1.25093e10i | −0.514519 | − | 0.297057i | ||||
\(454\) | − | 3.80094e10i | − | 0.894681i | ||||||
\(455\) | 5.64439e9 | − | 4.89062e10i | 0.131696 | − | 1.14108i | ||||
\(456\) | −7.26472e9 | −0.168020 | ||||||||
\(457\) | −2.53876e9 | + | 4.39726e9i | −0.0582045 | + | 0.100813i | −0.893659 | − | 0.448746i | \(-0.851871\pi\) |
0.835455 | + | 0.549559i | \(0.185204\pi\) | |||||||
\(458\) | −2.48818e9 | + | 1.43655e9i | −0.0565483 | + | 0.0326482i | ||||
\(459\) | −6.21519e9 | − | 1.07650e10i | −0.140024 | − | 0.242529i | ||||
\(460\) | 3.57128e10 | + | 2.06188e10i | 0.797613 | + | 0.460502i | ||||
\(461\) | 5.39866e10i | 1.19531i | 0.801752 | + | 0.597657i | \(0.203902\pi\) | ||||
−0.801752 | + | 0.597657i | \(0.796098\pi\) | |||||||
\(462\) | −2.22741e9 | + | 3.00102e9i | −0.0488915 | + | 0.0658720i | ||||
\(463\) | 2.10169e10 | 0.457347 | 0.228673 | − | 0.973503i | \(-0.426561\pi\) | ||||
0.228673 | + | 0.973503i | \(0.426561\pi\) | |||||||
\(464\) | −1.00725e9 | + | 1.74461e9i | −0.0217303 | + | 0.0376379i | ||||
\(465\) | −2.62294e10 | + | 1.51436e10i | −0.561018 | + | 0.323904i | ||||
\(466\) | −2.88953e9 | − | 5.00482e9i | −0.0612751 | − | 0.106132i | ||||
\(467\) | 3.20664e10 | + | 1.85136e10i | 0.674191 | + | 0.389244i | 0.797663 | − | 0.603104i | \(-0.206070\pi\) |
−0.123472 | + | 0.992348i | \(0.539403\pi\) | |||||||
\(468\) | 4.79629e9i | 0.0999820i | ||||||||
\(469\) | 4.56885e9 | + | 3.39109e9i | 0.0944312 | + | 0.0700887i | ||||
\(470\) | −6.14177e10 | −1.25864 | ||||||||
\(471\) | −1.46514e10 | + | 2.53769e10i | −0.297711 | + | 0.515650i | ||||
\(472\) | −7.23882e8 | + | 4.17934e8i | −0.0145848 | + | 0.00842053i | ||||
\(473\) | 9.81339e9 | + | 1.69973e10i | 0.196053 | + | 0.339574i | ||||
\(474\) | 5.51181e6 | + | 3.18225e6i | 0.000109190 | + | 6.30406e-5i | ||||
\(475\) | 1.11728e11i | 2.19476i | ||||||||
\(476\) | −3.71056e10 | − | 4.28246e9i | −0.722790 | − | 0.0834190i | ||||
\(477\) | −2.74539e10 | −0.530311 | ||||||||
\(478\) | −2.88558e10 | + | 4.99797e10i | −0.552741 | + | 0.957376i | ||||
\(479\) | 7.60097e9 | − | 4.38842e9i | 0.144387 | − | 0.0833617i | −0.426066 | − | 0.904692i | \(-0.640101\pi\) |
0.570453 | + | 0.821330i | \(0.306768\pi\) | |||||||
\(480\) | −5.18702e9 | − | 8.98418e9i | −0.0977131 | − | 0.169244i | ||||
\(481\) | 3.01835e10 | + | 1.74264e10i | 0.563883 | + | 0.325558i | ||||
\(482\) | 3.45389e10i | 0.639911i | ||||||||
\(483\) | −1.20127e10 | − | 2.77379e10i | −0.220726 | − | 0.509665i | ||||
\(484\) | −2.63301e10 | −0.479812 | ||||||||
\(485\) | 6.84030e10 | − | 1.18477e11i | 1.23625 | − | 2.14126i | ||||
\(486\) | −2.19158e9 | + | 1.26531e9i | −0.0392837 | + | 0.0226805i | ||||
\(487\) | −3.06327e10 | − | 5.30574e10i | −0.544589 | − | 0.943257i | −0.998633 | − | 0.0522769i | \(-0.983352\pi\) |
0.454043 | − | 0.890980i | \(-0.349981\pi\) | |||||||
\(488\) | 1.27012e10 | + | 7.33302e9i | 0.223957 | + | 0.129302i | ||||
\(489\) | − | 4.01280e10i | − | 0.701797i | ||||||
\(490\) | 1.77797e10 | − | 7.60007e10i | 0.308418 | − | 1.31836i | ||||
\(491\) | 1.19728e10 | 0.206002 | 0.103001 | − | 0.994681i | \(-0.467156\pi\) | ||||
0.103001 | + | 0.994681i | \(0.467156\pi\) | |||||||
\(492\) | 9.67945e9 | − | 1.67653e10i | 0.165193 | − | 0.286122i | ||||
\(493\) | −1.29416e10 | + | 7.47184e9i | −0.219079 | + | 0.126485i | ||||
\(494\) | 1.03968e10 | + | 1.80078e10i | 0.174580 | + | 0.302381i | ||||
\(495\) | −6.66830e9 | − | 3.84995e9i | −0.111069 | − | 0.0641259i | ||||
\(496\) | − | 8.86656e9i | − | 0.146497i | ||||||
\(497\) | −6.50177e10 | + | 2.81579e10i | −1.06563 | + | 0.461503i | ||||
\(498\) | 7.50068e9 | 0.121950 | ||||||||
\(499\) | −4.24587e9 | + | 7.35406e9i | −0.0684801 | + | 0.118611i | −0.898232 | − | 0.439521i | \(-0.855148\pi\) |
0.829752 | + | 0.558132i | \(0.188482\pi\) | |||||||
\(500\) | −8.63518e10 | + | 4.98552e10i | −1.38163 | + | 0.797683i | ||||
\(501\) | 2.14356e10 | + | 3.71275e10i | 0.340239 | + | 0.589312i | ||||
\(502\) | 3.80599e10 | + | 2.19739e10i | 0.599311 | + | 0.346013i | ||||
\(503\) | − | 1.28168e10i | − | 0.200220i | −0.994976 | − | 0.100110i | \(-0.968081\pi\) | ||
0.994976 | − | 0.100110i | \(-0.0319195\pi\) | |||||||
\(504\) | −8.71838e8 | + | 7.55410e9i | −0.0135118 | + | 0.117074i | ||||
\(505\) | 2.12583e11 | 3.26861 | ||||||||
\(506\) | −4.48019e9 | + | 7.75992e9i | −0.0683431 | + | 0.118374i | ||||
\(507\) | −2.11480e10 | + | 1.22098e10i | −0.320065 | + | 0.184790i | ||||
\(508\) | 1.50648e10 | + | 2.60930e10i | 0.226209 | + | 0.391805i | ||||
\(509\) | −7.98797e9 | − | 4.61185e9i | −0.119005 | − | 0.0687075i | 0.439316 | − | 0.898333i | \(-0.355221\pi\) |
−0.558321 | + | 0.829625i | \(0.688554\pi\) | |||||||
\(510\) | − | 7.69553e10i | − | 1.13752i | ||||||
\(511\) | −2.85382e10 | + | 3.84498e10i | −0.418546 | + | 0.563911i | ||||
\(512\) | 3.03700e9 | 0.0441942 | ||||||||
\(513\) | −5.48558e9 | + | 9.50131e9i | −0.0792052 | + | 0.137187i | ||||
\(514\) | 3.44391e10 | − | 1.98834e10i | 0.493401 | − | 0.284865i | ||||
\(515\) | 9.60015e10 | + | 1.66279e11i | 1.36474 | + | 2.36379i | ||||
\(516\) | 3.45841e10 | + | 1.99671e10i | 0.487840 | + | 0.281655i | ||||
\(517\) | − | 1.33453e10i | − | 0.186795i | ||||||
\(518\) | 4.43709e10 | + | 3.29330e10i | 0.616282 | + | 0.457417i | ||||
\(519\) | −7.44350e10 | −1.02591 | ||||||||
\(520\) | −1.48467e10 | + | 2.57152e10i | −0.203056 | + | 0.351704i | ||||
\(521\) | −3.66823e10 | + | 2.11785e10i | −0.497858 | + | 0.287438i | −0.727828 | − | 0.685759i | \(-0.759470\pi\) |
0.229971 | + | 0.973198i | \(0.426137\pi\) | |||||||
\(522\) | 1.52114e9 | + | 2.63470e9i | 0.0204875 | + | 0.0354854i | ||||
\(523\) | 5.57062e10 | + | 3.21620e10i | 0.744555 | + | 0.429869i | 0.823723 | − | 0.566992i | \(-0.191893\pi\) |
−0.0791679 | + | 0.996861i | \(0.525226\pi\) | |||||||
\(524\) | − | 3.36446e10i | − | 0.446263i | ||||||
\(525\) | 1.16178e11 | + | 1.34084e10i | 1.52928 | + | 0.176498i | ||||
\(526\) | −1.19080e10 | −0.155559 | ||||||||
\(527\) | 3.28864e10 | − | 5.69609e10i | 0.426357 | − | 0.738473i | ||||
\(528\) | 1.95215e9 | − | 1.12707e9i | 0.0251175 | − | 0.0145016i | ||||
\(529\) | 2.91960e9 | + | 5.05690e9i | 0.0372822 | + | 0.0645746i | ||||
\(530\) | −1.47194e11 | − | 8.49824e10i | −1.86546 | − | 1.07702i | ||||
\(531\) | 1.26232e9i | 0.0158779i | ||||||||
\(532\) | 1.31015e10 | + | 3.02520e10i | 0.163560 | + | 0.377666i | ||||
\(533\) | −5.54106e10 | −0.686569 | ||||||||
\(534\) | 2.10923e10 | − | 3.65329e10i | 0.259393 | − | 0.449282i | ||||
\(535\) | 9.90911e10 | − | 5.72103e10i | 1.20954 | − | 0.698327i | ||||
\(536\) | −1.71589e9 | − | 2.97201e9i | −0.0207889 | − | 0.0360074i | ||||
\(537\) | −2.39311e10 | − | 1.38166e10i | −0.287783 | − | 0.166152i | ||||
\(538\) | 1.98557e10i | 0.237005i | ||||||||
\(539\) | 1.65140e10 | + | 3.86330e9i | 0.195657 | + | 0.0457723i | ||||
\(540\) | −1.56668e10 | −0.184250 | ||||||||
\(541\) | −4.29991e10 | + | 7.44767e10i | −0.501962 | + | 0.869423i | 0.498036 | + | 0.867157i | \(0.334055\pi\) |
−0.999997 | + | 0.00226685i | \(0.999278\pi\) | |||||||
\(542\) | −6.69009e10 | + | 3.86253e10i | −0.775238 | + | 0.447584i | ||||
\(543\) | −4.73680e9 | − | 8.20437e9i | −0.0544860 | − | 0.0943726i | ||||
\(544\) | 1.95104e10 | + | 1.12643e10i | 0.222777 | + | 0.128621i | ||||
\(545\) | − | 2.19151e11i | − | 2.48403i | ||||||
\(546\) | 1.99729e10 | − | 8.64985e9i | 0.224735 | − | 0.0973281i | ||||
\(547\) | 1.37838e10 | 0.153965 | 0.0769823 | − | 0.997032i | \(-0.475472\pi\) | ||||
0.0769823 | + | 0.997032i | \(0.475472\pi\) | |||||||
\(548\) | 3.00812e9 | − | 5.21021e9i | 0.0333559 | − | 0.0577741i | ||||
\(549\) | 1.91813e10 | − | 1.10743e10i | 0.211149 | − | 0.121907i | ||||
\(550\) | −1.73338e10 | − | 3.00230e10i | −0.189427 | − | 0.328098i | ||||
\(551\) | 1.14224e10 | + | 6.59472e9i | 0.123923 | + | 0.0715468i | ||||
\(552\) | 1.82316e10i | 0.196367i | ||||||||
\(553\) | 3.31136e6 | − | 2.86915e7i | 3.54084e−5 | − | 0.000306798i | ||||
\(554\) | 5.65033e10 | 0.599839 | ||||||||
\(555\) | −5.69226e10 | + | 9.85929e10i | −0.599947 | + | 1.03914i | ||||
\(556\) | −4.02391e10 | + | 2.32321e10i | −0.421065 | + | 0.243102i | ||||
\(557\) | 4.61407e10 | + | 7.99181e10i | 0.479362 | + | 0.830280i | 0.999720 | − | 0.0236687i | \(-0.00753470\pi\) |
−0.520358 | + | 0.853948i | \(0.674201\pi\) | |||||||
\(558\) | −1.15963e10 | − | 6.69513e9i | −0.119614 | − | 0.0690593i | ||||
\(559\) | − | 1.14303e11i | − | 1.17061i | ||||||
\(560\) | −2.80577e10 | + | 3.78025e10i | −0.285299 | + | 0.384386i | ||||
\(561\) | 1.67214e10 | 0.168819 | ||||||||
\(562\) | −3.64406e10 | + | 6.31169e10i | −0.365292 | + | 0.632704i | ||||
\(563\) | −5.61712e10 | + | 3.24304e10i | −0.559087 | + | 0.322789i | −0.752779 | − | 0.658273i | \(-0.771287\pi\) |
0.193692 | + | 0.981062i | \(0.437954\pi\) | |||||||
\(564\) | −1.35767e10 | − | 2.35155e10i | −0.134177 | − | 0.232401i | ||||
\(565\) | 3.31201e10 | + | 1.91219e10i | 0.325011 | + | 0.187645i | ||||
\(566\) | 4.52178e10i | 0.440599i | ||||||||
\(567\) | 9.22145e9 | + | 6.84434e9i | 0.0892210 | + | 0.0662216i | ||||
\(568\) | 4.27349e10 | 0.410572 | ||||||||
\(569\) | 7.06161e10 | − | 1.22311e11i | 0.673682 | − | 1.16685i | −0.303171 | − | 0.952936i | \(-0.598045\pi\) |
0.976852 | − | 0.213915i | \(-0.0686214\pi\) | |||||||
\(570\) | −5.88218e10 | + | 3.39608e10i | −0.557235 | + | 0.321720i | ||||
\(571\) | −2.43023e10 | − | 4.20928e10i | −0.228614 | − | 0.395971i | 0.728784 | − | 0.684744i | \(-0.240086\pi\) |
−0.957398 | + | 0.288773i | \(0.906753\pi\) | |||||||
\(572\) | −5.58759e9 | − | 3.22600e9i | −0.0521964 | − | 0.0301356i | ||||
\(573\) | 7.49002e10i | 0.694807i | ||||||||
\(574\) | −8.72711e10 | − | 1.00722e10i | −0.803938 | − | 0.0927846i | ||||
\(575\) | 2.80392e11 | 2.56504 | ||||||||
\(576\) | 2.29324e9 | − | 3.97200e9i | 0.0208333 | − | 0.0360844i | ||||
\(577\) | −6.75108e10 | + | 3.89774e10i | −0.609074 | + | 0.351649i | −0.772603 | − | 0.634889i | \(-0.781046\pi\) |
0.163529 | + | 0.986539i | \(0.447712\pi\) | |||||||
\(578\) | 4.40989e10 | + | 7.63815e10i | 0.395108 | + | 0.684348i | ||||
\(579\) | −1.98147e10 | − | 1.14401e10i | −0.176309 | − | 0.101792i | ||||
\(580\) | 1.88345e10i | 0.166434i | ||||||||
\(581\) | −1.35271e10 | − | 3.12346e10i | −0.118713 | − | 0.274114i | ||||
\(582\) | 6.04834e10 | 0.527162 | ||||||||
\(583\) | 1.84656e10 | − | 3.19833e10i | 0.159841 | − | 0.276853i | ||||
\(584\) | 2.50114e10 | − | 1.44403e10i | 0.215024 | − | 0.124144i | ||||
\(585\) | 2.24214e10 | + | 3.88351e10i | 0.191443 | + | 0.331589i | ||||
\(586\) | −3.87165e10 | − | 2.23530e10i | −0.328326 | − | 0.189559i | ||||
\(587\) | 3.18178e10i | 0.267990i | 0.990982 | + | 0.133995i | \(0.0427805\pi\) | ||||
−0.990982 | + | 0.133995i | \(0.957219\pi\) | |||||||
\(588\) | 3.30294e10 | − | 9.99288e9i | 0.276306 | − | 0.0835952i | ||||
\(589\) | −5.80517e10 | −0.482341 | ||||||||
\(590\) | −3.90747e9 | + | 6.76794e9i | −0.0322469 | + | 0.0558532i | ||||
\(591\) | −8.06554e10 | + | 4.65664e10i | −0.661125 | + | 0.381701i | ||||
\(592\) | −1.66641e10 | − | 2.88631e10i | −0.135674 | − | 0.234993i | ||||
\(593\) | −7.13590e9 | − | 4.11992e9i | −0.0577072 | − | 0.0333173i | 0.470869 | − | 0.882203i | \(-0.343941\pi\) |
−0.528576 | + | 0.848886i | \(0.677274\pi\) | |||||||
\(594\) | − | 3.40420e9i | − | 0.0273445i | ||||||
\(595\) | −3.20460e11 | + | 1.38785e11i | −2.55686 | + | 1.10732i | ||||
\(596\) | 7.77531e10 | 0.616216 | ||||||||
\(597\) | 1.18316e10 | − | 2.04929e10i | 0.0931422 | − | 0.161327i | ||||
\(598\) | 4.51925e10 | − | 2.60919e10i | 0.353396 | − | 0.204033i | ||||
\(599\) | −1.13008e11 | − | 1.95735e11i | −0.877809 | − | 1.52041i | −0.853740 | − | 0.520700i | \(-0.825671\pi\) |
−0.0240696 | − | 0.999710i | \(-0.507662\pi\) | |||||||
\(600\) | −6.10873e10 | − | 3.52688e10i | −0.471353 | − | 0.272136i | ||||
\(601\) | − | 1.08158e11i | − | 0.829008i | −0.910047 | − | 0.414504i | \(-0.863955\pi\) | ||
0.910047 | − | 0.414504i | \(-0.136045\pi\) | |||||||
\(602\) | 2.07773e10 | − | 1.80026e11i | 0.158199 | − | 1.37072i | ||||
\(603\) | −5.18268e9 | −0.0391999 | ||||||||
\(604\) | 3.42388e10 | − | 5.93034e10i | 0.257259 | − | 0.445586i | ||||
\(605\) | −2.13192e11 | + | 1.23087e11i | −1.59129 | + | 0.918732i | ||||
\(606\) | 4.69926e10 | + | 8.13936e10i | 0.348449 | + | 0.603531i | ||||
\(607\) | −9.17061e9 | − | 5.29465e9i | −0.0675528 | − | 0.0390016i | 0.465843 | − | 0.884867i | \(-0.345751\pi\) |
−0.533396 | + | 0.845866i | \(0.679084\pi\) | |||||||
\(608\) | − | 1.98840e10i | − | 0.145509i | ||||||
\(609\) | 8.22821e9 | − | 1.10859e10i | 0.0598186 | − | 0.0805942i | ||||
\(610\) | 1.37120e11 | 0.990335 | ||||||||
\(611\) | −3.88603e10 | + | 6.73081e10i | −0.278831 | + | 0.482950i | ||||
\(612\) | 2.94646e10 | − | 1.70114e10i | 0.210036 | − | 0.121265i | ||||
\(613\) | −1.06257e11 | − | 1.84042e11i | −0.752514 | − | 1.30339i | −0.946601 | − | 0.322408i | \(-0.895508\pi\) |
0.194087 | − | 0.980984i | \(-0.437825\pi\) | |||||||
\(614\) | 3.09328e10 | + | 1.78591e10i | 0.217644 | + | 0.125657i | ||||
\(615\) | − | 1.80996e11i | − | 1.26523i | ||||||
\(616\) | −8.21399e9 | − | 6.09658e9i | −0.0570468 | − | 0.0423412i | ||||
\(617\) | −1.40829e11 | −0.971741 | −0.485870 | − | 0.874031i | \(-0.661497\pi\) | ||||
−0.485870 | + | 0.874031i | \(0.661497\pi\) | |||||||
\(618\) | −4.24433e10 | + | 7.35139e10i | −0.290974 | + | 0.503983i | ||||
\(619\) | 1.91894e11 | − | 1.10790e11i | 1.30707 | − | 0.754635i | 0.325461 | − | 0.945555i | \(-0.394481\pi\) |
0.981606 | + | 0.190920i | \(0.0611472\pi\) | |||||||
\(620\) | −4.14490e10 | − | 7.17917e10i | −0.280509 | − | 0.485856i | ||||
\(621\) | 2.38445e10 | + | 1.37666e10i | 0.160333 | + | 0.0925681i | ||||
\(622\) | − | 7.92040e10i | − | 0.529158i | ||||||
\(623\) | −1.90170e11 | − | 2.19480e10i | −1.26238 | − | 0.145695i | ||||
\(624\) | −1.31278e10 | −0.0865869 | ||||||||
\(625\) | −2.62693e11 | + | 4.54998e11i | −1.72159 | + | 2.98187i | ||||
\(626\) | −6.49161e10 | + | 3.74793e10i | −0.422722 | + | 0.244059i | ||||
\(627\) | −7.37924e9 | − | 1.27812e10i | −0.0477465 | − | 0.0826993i | ||||
\(628\) | −6.94583e10 | − | 4.01018e10i | −0.446566 | − | 0.257825i | ||||
\(629\) | − | 2.47231e11i | − | 1.57943i | ||||||
\(630\) | 2.82543e10 | + | 6.52404e10i | 0.179359 | + | 0.414147i | ||||
\(631\) | 5.39299e9 | 0.0340182 | 0.0170091 | − | 0.999855i | \(-0.494586\pi\) | ||||
0.0170091 | + | 0.999855i | \(0.494586\pi\) | |||||||
\(632\) | −8.71002e6 | + | 1.50862e7i | −5.45948e−5 | + | 9.45609e-5i | ||||
\(633\) | 3.30388e10 | − | 1.90750e10i | 0.205783 | − | 0.118809i | ||||
\(634\) | −4.17469e10 | − | 7.23078e10i | −0.258385 | − | 0.447536i | ||||
\(635\) | 2.43957e11 | + | 1.40849e11i | 1.50044 | + | 0.866278i | ||||
\(636\) | − | 7.51432e10i | − | 0.459263i | ||||||
\(637\) | −7.20400e10 | − | 6.75722e10i | −0.437538 | − | 0.410403i | ||||
\(638\) | −4.09250e9 | −0.0247005 | ||||||||
\(639\) | 3.22690e10 | − | 5.58916e10i | 0.193545 | − | 0.335230i | ||||
\(640\) | 2.45903e10 | − | 1.41972e10i | 0.146570 | − | 0.0846220i | ||||
\(641\) | 5.28937e10 | + | 9.16145e10i | 0.313308 | + | 0.542666i | 0.979076 | − | 0.203493i | \(-0.0652294\pi\) |
−0.665768 | + | 0.746159i | \(0.731896\pi\) | |||||||
\(642\) | 4.38092e10 | + | 2.52933e10i | 0.257885 | + | 0.148890i | ||||
\(643\) | 3.15633e11i | 1.84646i | 0.384253 | + | 0.923228i | \(0.374459\pi\) | ||||
−0.384253 | + | 0.923228i | \(0.625541\pi\) | |||||||
\(644\) | 7.59205e10 | − | 3.28797e10i | 0.441383 | − | 0.191154i | ||||
\(645\) | 3.73366e11 | 2.15722 | ||||||||
\(646\) | 7.37506e10 | − | 1.27740e11i | 0.423483 | − | 0.733494i | ||||
\(647\) | 2.81309e11 | − | 1.62414e11i | 1.60534 | − | 0.926841i | 0.614942 | − | 0.788573i | \(-0.289180\pi\) |
0.990395 | − | 0.138269i | \(-0.0441538\pi\) | |||||||
\(648\) | −3.46324e9 | − | 5.99851e9i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | −1.47059e9 | − | 8.49043e8i | −0.00828918 | − | 0.00478576i | ||||
\(650\) | 2.01898e11i | 1.13104i | ||||||||
\(651\) | −6.96677e9 | + | 6.03641e10i | −0.0387889 | + | 0.336089i | ||||
\(652\) | 1.09833e11 | 0.607774 | ||||||||
\(653\) | −1.12986e11 | + | 1.95698e11i | −0.621403 | + | 1.07630i | 0.367821 | + | 0.929897i | \(0.380104\pi\) |
−0.989225 | + | 0.146406i | \(0.953229\pi\) | |||||||
\(654\) | 8.39082e10 | − | 4.84444e10i | 0.458663 | − | 0.264809i | ||||
\(655\) | −1.57280e11 | − | 2.72417e11i | −0.854494 | − | 1.48003i | ||||
\(656\) | 4.58878e10 | + | 2.64933e10i | 0.247789 | + | 0.143061i | ||||
\(657\) | − | 4.36156e10i | − | 0.234088i | ||||||
\(658\) | −7.34394e10 | + | 9.89456e10i | −0.391765 | + | 0.527829i | ||||
\(659\) | −1.28012e11 | −0.678749 | −0.339374 | − | 0.940651i | \(-0.610215\pi\) | ||||
−0.339374 | + | 0.940651i | \(0.610215\pi\) | |||||||
\(660\) | 1.05376e10 | − | 1.82516e10i | 0.0555347 | − | 0.0961889i | ||||
\(661\) | 2.01081e11 | − | 1.16094e11i | 1.05333 | − | 0.608140i | 0.129750 | − | 0.991547i | \(-0.458582\pi\) |
0.923580 | + | 0.383406i | \(0.125249\pi\) | |||||||
\(662\) | 8.10624e10 | + | 1.40404e11i | 0.422073 | + | 0.731052i | ||||
\(663\) | −8.43359e10 | − | 4.86913e10i | −0.436474 | − | 0.251998i | ||||
\(664\) | 2.05299e10i | 0.105612i | ||||||||
\(665\) | 2.47503e11 | + | 1.83701e11i | 1.26559 | + | 0.939346i | ||||
\(666\) | −5.03322e10 | −0.255828 | ||||||||
\(667\) | 1.65501e10 | − | 2.86657e10i | 0.0836176 | − | 0.144830i | ||||
\(668\) | −1.01621e11 | + | 5.86706e10i | −0.510359 | + | 0.294656i | ||||
\(669\) | 1.06472e11 | + | 1.84414e11i | 0.531532 | + | 0.920640i | ||||
\(670\) | −2.77869e10 | − | 1.60427e10i | −0.137892 | − | 0.0796122i | ||||
\(671\) | 2.97945e10i | 0.146976i | ||||||||
\(672\) | −2.06761e10 | − | 2.38628e9i | −0.101389 | − | 0.0117016i | ||||
\(673\) | −9.83689e10 | −0.479510 | −0.239755 | − | 0.970833i | \(-0.577067\pi\) | ||||
−0.239755 | + | 0.970833i | \(0.577067\pi\) | |||||||
\(674\) | 1.37296e10 | − | 2.37803e10i | 0.0665300 | − | 0.115233i | ||||
\(675\) | −9.22539e10 | + | 5.32628e10i | −0.444396 | + | 0.256572i | ||||
\(676\) | −3.34191e10 | − | 5.78836e10i | −0.160032 | − | 0.277184i | ||||
\(677\) | 1.14902e11 | + | 6.63388e10i | 0.546982 | + | 0.315800i | 0.747904 | − | 0.663807i | \(-0.231060\pi\) |
−0.200922 | + | 0.979607i | \(0.564394\pi\) | |||||||
\(678\) | 1.69080e10i | 0.0800153i | ||||||||
\(679\) | −1.09079e11 | − | 2.51867e11i | −0.513169 | − | 1.18493i | ||||
\(680\) | 2.10632e11 | 0.985119 | ||||||||
\(681\) | 7.85563e10 | − | 1.36063e11i | 0.365252 | − | 0.632635i | ||||
\(682\) | 1.55994e10 | − | 9.00633e9i | 0.0721059 | − | 0.0416304i | ||||
\(683\) | −1.20557e10 | − | 2.08811e10i | −0.0554000 | − | 0.0959556i | 0.836995 | − | 0.547210i | \(-0.184310\pi\) |
−0.892395 | + | 0.451254i | \(0.850977\pi\) | |||||||
\(684\) | −2.60057e10 | − | 1.50144e10i | −0.118808 | − | 0.0685937i | ||||
\(685\) | − | 5.62488e10i | − | 0.255476i | ||||||
\(686\) | −1.01179e11 | − | 1.19520e11i | −0.456873 | − | 0.539691i | ||||
\(687\) | −1.18760e10 | −0.0533143 | ||||||||
\(688\) | −5.46514e10 | + | 9.46590e10i | −0.243920 | + | 0.422482i | ||||
\(689\) | −1.86265e11 | + | 1.07540e11i | −0.826524 | + | 0.477194i | ||||
\(690\) | 8.52280e10 | + | 1.47619e11i | 0.375998 | + | 0.651248i | ||||
\(691\) | −1.22976e11 | − | 7.10003e10i | −0.539397 | − | 0.311421i | 0.205438 | − | 0.978670i | \(-0.434138\pi\) |
−0.744835 | + | 0.667249i | \(0.767472\pi\) | |||||||
\(692\) | − | 2.03734e11i | − | 0.888461i | ||||||
\(693\) | −1.41759e10 | + | 6.13930e9i | −0.0614636 | + | 0.0266187i | ||||
\(694\) | −2.11312e11 | −0.910934 | ||||||||
\(695\) | −2.17208e11 | + | 3.76216e11i | −0.930973 | + | 1.61249i | ||||
\(696\) | −7.21135e9 | + | 4.16348e9i | −0.0307312 | + | 0.0177427i | ||||
\(697\) | 1.96529e11 | + | 3.40399e11i | 0.832715 | + | 1.44230i | ||||
\(698\) | 8.31664e10 | + | 4.80162e10i | 0.350370 | + | 0.202286i | ||||
\(699\) | − | 2.38879e10i | − | 0.100062i | ||||||
\(700\) | −3.66997e10 | + | 3.17987e11i | −0.152852 | + | 1.32440i | ||||
\(701\) | 1.05031e11 | 0.434958 | 0.217479 | − | 0.976065i | \(-0.430217\pi\) | ||||
0.217479 | + | 0.976065i | \(0.430217\pi\) | |||||||
\(702\) | −9.91276e9 | + | 1.71694e10i | −0.0408175 | + | 0.0706979i | ||||
\(703\) | −1.88974e11 | + | 1.09104e11i | −0.773715 | + | 0.446705i | ||||
\(704\) | 3.08487e9 | + | 5.34316e9i | 0.0125588 | + | 0.0217524i | ||||
\(705\) | −2.19859e11 | − | 1.26935e11i | −0.889994 | − | 0.513838i | ||||
\(706\) | 3.09815e10i | 0.124705i | ||||||||
\(707\) | 2.54193e11 | − | 3.42477e11i | 1.01739 | − | 1.37074i | ||||
\(708\) | −3.45507e9 | −0.0137507 | ||||||||
\(709\) | 3.76112e10 | − | 6.51446e10i | 0.148844 | − | 0.257806i | −0.781956 | − | 0.623333i | \(-0.785778\pi\) |
0.930801 | + | 0.365527i | \(0.119111\pi\) | |||||||
\(710\) | 3.46020e11 | − | 1.99775e11i | 1.36166 | − | 0.786153i | ||||
\(711\) | 1.31539e7 | + | 2.27831e7i | 5.14724e−5 | + | 8.91529e-5i | ||||
\(712\) | 9.99929e10 | + | 5.77309e10i | 0.389089 | + | 0.224641i | ||||
\(713\) | 1.45687e11i | 0.563718i | ||||||||
\(714\) | −1.23977e11 | − | 9.20184e10i | −0.477034 | − | 0.354064i | ||||
\(715\) | −6.03229e10 | −0.230812 | ||||||||
\(716\) | 3.78170e10 | − | 6.55010e10i | 0.143891 | − | 0.249227i | ||||
\(717\) | −2.06592e11 | + | 1.19276e11i | −0.781694 | + | 0.451311i | ||||
\(718\) | 1.65567e11 | + | 2.86771e11i | 0.622984 | + | 1.07904i | ||||
\(719\) | 3.69314e11 | + | 2.13223e11i | 1.38191 | + | 0.797847i | 0.992386 | − | 0.123169i | \(-0.0393058\pi\) |
0.389525 | + | 0.921016i | \(0.372639\pi\) | |||||||
\(720\) | − | 4.28812e10i | − | 0.159565i | ||||||
\(721\) | 3.82673e11 | + | 4.41653e10i | 1.41608 | + | 0.163433i | ||||
\(722\) | 6.19610e10 | 0.228018 | ||||||||
\(723\) | −7.13834e10 | + | 1.23640e11i | −0.261243 | + | 0.452486i | ||||
\(724\) | 2.24559e10 | − | 1.29649e10i | 0.0817291 | − | 0.0471863i | ||||
\(725\) | 6.40321e10 | + | 1.10907e11i | 0.231764 | + | 0.401427i | ||||
\(726\) | −9.42545e10 | − | 5.44179e10i | −0.339278 | − | 0.195882i | ||||
\(727\) | − | 1.53706e11i | − | 0.550240i | −0.961410 | − | 0.275120i | \(-0.911282\pi\) | ||
0.961410 | − | 0.275120i | \(-0.0887176\pi\) | |||||||
\(728\) | 2.36752e10 | + | 5.46671e10i | 0.0842886 | + | 0.194626i | ||||
\(729\) | −1.04604e10 | −0.0370370 | ||||||||
\(730\) | 1.35010e11 | − | 2.33844e11i | 0.475417 | − | 0.823446i | ||||
\(731\) | −7.02188e11 | + | 4.05408e11i | −2.45914 | + | 1.41979i | ||||
\(732\) | 3.03112e10 | + | 5.25005e10i | 0.105574 | + | 0.182860i | ||||
\(733\) | 3.48191e11 | + | 2.01028e11i | 1.20615 | + | 0.696372i | 0.961916 | − | 0.273344i | \(-0.0881297\pi\) |
0.244235 | + | 0.969716i | \(0.421463\pi\) | |||||||
\(734\) | − | 2.22406e11i | − | 0.766234i | ||||||
\(735\) | 2.20721e11 | − | 2.35315e11i | 0.756301 | − | 0.806308i | ||||
\(736\) | −4.99010e10 | −0.170058 | ||||||||
\(737\) | 3.48588e9 | − | 6.03773e9i | 0.0118152 | − | 0.0204646i | ||||
\(738\) | 6.92996e10 | − | 4.00102e10i | 0.233618 | − | 0.134879i | ||||
\(739\) | −3.43921e10 | − | 5.95688e10i | −0.115314 | − | 0.199729i | 0.802591 | − | 0.596529i | \(-0.203454\pi\) |
−0.917905 | + | 0.396800i | \(0.870121\pi\) | |||||||
\(740\) | −2.69855e11 | − | 1.55801e11i | −0.899920 | − | 0.519569i | ||||
\(741\) | 8.59509e10i | 0.285087i | ||||||||
\(742\) | −3.12914e11 | + | 1.35517e11i | −1.03231 | + | 0.447072i | ||||
\(743\) | −3.37111e11 | −1.10616 | −0.553079 | − | 0.833129i | \(-0.686547\pi\) | ||||
−0.553079 | + | 0.833129i | \(0.686547\pi\) | |||||||
\(744\) | 1.83250e10 | − | 3.17399e10i | 0.0598071 | − | 0.103589i | ||||
\(745\) | 6.29560e11 | − | 3.63476e11i | 2.04367 | − | 1.17992i | ||||
\(746\) | 8.94749e10 | + | 1.54975e11i | 0.288899 | + | 0.500388i | ||||
\(747\) | 2.68504e10 | + | 1.55021e10i | 0.0862319 | + | 0.0497860i | ||||
\(748\) | 4.57676e10i | 0.146202i | ||||||||
\(749\) | 2.63195e10 | − | 2.28047e11i | 0.0836277 | − | 0.724598i | ||||
\(750\) | −4.12154e11 | −1.30261 | ||||||||
\(751\) | 1.27390e11 | − | 2.20646e11i | 0.400476 | − | 0.693645i | −0.593307 | − | 0.804976i | \(-0.702178\pi\) |
0.993783 | + | 0.111331i | \(0.0355114\pi\) | |||||||
\(752\) | 6.43636e10 | − | 3.71604e10i | 0.201265 | − | 0.116201i | ||||
\(753\) | 9.08293e10 | + | 1.57321e11i | 0.282518 | + | 0.489336i | ||||
\(754\) | 2.06409e10 | + | 1.19170e10i | 0.0638621 | + | 0.0368708i | ||||
\(755\) | − | 6.40232e11i | − | 1.97038i | ||||||
\(756\) | −1.87334e10 | + | 2.52397e10i | −0.0573496 | + | 0.0772676i | ||||
\(757\) | 1.51138e11 | 0.460246 | 0.230123 | − | 0.973162i | \(-0.426087\pi\) | ||||
0.230123 | + | 0.973162i | \(0.426087\pi\) | |||||||
\(758\) | −1.25136e10 | + | 2.16742e10i | −0.0379058 | + | 0.0656548i | ||||
\(759\) | −3.20758e10 | + | 1.85189e10i | −0.0966518 | + | 0.0558019i | ||||
\(760\) | −9.29529e10 | − | 1.60999e11i | −0.278618 | − | 0.482580i | ||||
\(761\) | −2.31170e11 | − | 1.33466e11i | −0.689276 | − | 0.397954i | 0.114065 | − | 0.993473i | \(-0.463613\pi\) |
−0.803341 | + | 0.595519i | \(0.796946\pi\) | |||||||
\(762\) | 1.24541e11i | 0.369397i | ||||||||
\(763\) | −3.53058e11 | − | 2.62047e11i | −1.04171 | − | 0.773180i | ||||
\(764\) | −2.05007e11 | −0.601721 | ||||||||
\(765\) | 1.59048e11 | − | 2.75479e11i | 0.464390 | − | 0.804346i | ||||
\(766\) | −3.41992e11 | + | 1.97449e11i | −0.993348 | + | 0.573510i | ||||
\(767\) | 4.94469e9 | + | 8.56445e9i | 0.0142875 | + | 0.0247467i | ||||
\(768\) | 1.08716e10 | + | 6.27674e9i | 0.0312500 | + | 0.0180422i | ||||
\(769\) | 4.78074e11i | 1.36707i | 0.729919 | + | 0.683533i | \(0.239558\pi\) | ||||
−0.729919 | + | 0.683533i | \(0.760442\pi\) | |||||||
\(770\) | −9.50079e10 | − | 1.09651e10i | −0.270269 | − | 0.0311925i | ||||
\(771\) | 1.64377e11 | 0.465183 | ||||||||
\(772\) | 3.13122e10 | − | 5.42343e10i | 0.0881545 | − | 0.152688i | ||||
\(773\) | −1.83294e11 | + | 1.05825e11i | −0.513370 | + | 0.296394i | −0.734218 | − | 0.678914i | \(-0.762451\pi\) |
0.220848 | + | 0.975308i | \(0.429118\pi\) | |||||||
\(774\) | 8.25345e10 | + | 1.42954e11i | 0.229970 | + | 0.398320i | ||||
\(775\) | −4.88143e11 | − | 2.81829e11i | −1.35313 | − | 0.781231i | ||||
\(776\) | 1.65547e11i | 0.456536i | ||||||||
\(777\) | 9.07715e10 | + | 2.09595e11i | 0.249038 | + | 0.575039i | ||||
\(778\) | −7.58382e10 | −0.207000 | ||||||||
\(779\) | 1.73459e11 | − | 3.00439e11i | 0.471028 | − | 0.815844i | ||||
\(780\) | −1.06294e11 | + | 6.13690e10i | −0.287165 | + | 0.165795i | ||||
\(781\) | 4.34085e10 | + | 7.51857e10i | 0.116673 | + | 0.202084i | ||||
\(782\) | −3.20576e11 | − | 1.85085e11i | −0.857243 | − | 0.494930i | ||||
\(783\) | 1.25753e10i | 0.0334559i | ||||||||
\(784\) | 2.73512e10 | + | 9.04036e10i | 0.0723956 | + | 0.239288i | ||||
\(785\) | −7.49863e11 | −1.97471 | ||||||||
\(786\) | 6.95353e10 | − | 1.20439e11i | 0.182186 | − | 0.315555i | ||||
\(787\) | 2.76336e11 | − | 1.59542e11i | 0.720341 | − | 0.415889i | −0.0945374 | − | 0.995521i | \(-0.530137\pi\) |
0.814878 | + | 0.579632i | \(0.196804\pi\) | |||||||
\(788\) | −1.27455e11 | − | 2.20759e11i | −0.330563 | − | 0.572551i | ||||
\(789\) | −4.26273e10 | − | 2.46109e10i | −0.109997 | − | 0.0635067i | ||||
\(790\) | 1.62869e8i | 0.000418147i | ||||||||
\(791\) | 7.04088e10 | − | 3.04926e10i | 0.179854 | − | 0.0778913i | ||||
\(792\) | 9.31754e9 | 0.0236810 | ||||||||
\(793\) | 8.67590e10 | − | 1.50271e11i | 0.219392 | − | 0.379999i | ||||
\(794\) | 6.95250e10 | − | 4.01403e10i | 0.174928 | − | 0.100995i | ||||
\(795\) | −3.51276e11 | − | 6.08427e11i | −0.879386 | − | 1.52314i | ||||
\(796\) | 5.60906e10 | + | 3.23839e10i | 0.139713 | + | 0.0806635i | ||||
\(797\) | 3.68732e11i | 0.913856i | 0.889504 | + | 0.456928i | \(0.151050\pi\) | ||||
−0.889504 | + | 0.456928i | \(0.848950\pi\) | |||||||
\(798\) | −1.56236e10 | + | 1.35372e11i | −0.0385274 | + | 0.333823i | ||||
\(799\) | 5.51317e11 | 1.35274 | ||||||||
\(800\) | 9.65330e10 | − | 1.67200e11i | 0.235676 | − | 0.408203i | ||||
\(801\) | 1.51009e11 | − | 8.71851e10i | 0.366837 | − | 0.211793i | ||||
\(802\) | −1.86354e11 | − | 3.22775e11i | −0.450445 | − | 0.780193i | ||||
\(803\) | 5.08113e10 | + | 2.93359e10i | 0.122208 | + | 0.0705566i | ||||
\(804\) | − | 1.41853e10i | − | 0.0339481i | ||||||
\(805\) | 4.61017e11 | − | 6.21133e11i | 1.09783 | − | 1.47911i | ||||
\(806\) | −1.04903e11 | −0.248569 | ||||||||
\(807\) | −4.10370e10 | + | 7.10781e10i | −0.0967567 | + | 0.167588i | ||||
\(808\) | −2.22780e11 | + | 1.28622e11i | −0.522673 | + | 0.301766i | ||||
\(809\) | −3.63130e11 | − | 6.28960e11i | −0.847751 | − | 1.46835i | −0.883211 | − | 0.468977i | \(-0.844623\pi\) |
0.0354595 | − | 0.999371i | \(-0.488711\pi\) | |||||||
\(810\) | −5.60830e10 | − | 3.23796e10i | −0.130284 | − | 0.0752196i | ||||
\(811\) | 4.74637e11i | 1.09718i | 0.836091 | + | 0.548591i | \(0.184835\pi\) | ||||
−0.836091 | + | 0.548591i | \(0.815165\pi\) | |||||||
\(812\) | 3.03430e10 | + | 2.25212e10i | 0.0697966 | + | 0.0518044i | ||||
\(813\) | −3.19316e11 | −0.730901 | ||||||||
\(814\) | 3.38536e10 | − | 5.86361e10i | 0.0771093 | − | 0.133557i | ||||
\(815\) | 8.89307e11 | − | 5.13442e11i | 2.01568 | − | 1.16375i | ||||
\(816\) | 4.65613e10 | + | 8.06466e10i | 0.105018 | + | 0.181897i | ||||
\(817\) | 6.19758e11 | + | 3.57817e11i | 1.39102 | + | 0.803106i | ||||
\(818\) | 3.94436e11i | 0.880975i | ||||||||
\(819\) | 8.93746e10 | + | 1.03150e10i | 0.198645 | + | 0.0229262i | ||||
\(820\) | 4.95399e11 | 1.09572 | ||||||||
\(821\) | −1.48524e10 | + | 2.57251e10i | −0.0326907 | + | 0.0566220i | −0.881908 | − | 0.471422i | \(-0.843741\pi\) |
0.849217 | + | 0.528044i | \(0.177074\pi\) | |||||||
\(822\) | 2.15365e10 | − | 1.24341e10i | 0.0471723 | − | 0.0272350i | ||||
\(823\) | 4.42125e11 | + | 7.65782e11i | 0.963708 | + | 1.66919i | 0.713047 | + | 0.701116i | \(0.247314\pi\) |
0.250660 | + | 0.968075i | \(0.419352\pi\) | |||||||
\(824\) | −2.01213e11 | − | 1.16170e11i | −0.436462 | − | 0.251991i | ||||
\(825\) | − | 1.43299e11i | − | 0.309334i | ||||||
\(826\) | 6.23103e9 | + | 1.43877e10i | 0.0133857 | + | 0.0309081i | ||||
\(827\) | 4.55180e10 | 0.0973109 | 0.0486554 | − | 0.998816i | \(-0.484506\pi\) | ||||
0.0486554 | + | 0.998816i | \(0.484506\pi\) | |||||||
\(828\) | −3.76802e10 | + | 6.52640e10i | −0.0801663 | + | 0.138852i | ||||
\(829\) | −3.75631e11 | + | 2.16871e11i | −0.795323 | + | 0.459180i | −0.841833 | − | 0.539738i | \(-0.818523\pi\) |
0.0465102 | + | 0.998918i | \(0.485190\pi\) | |||||||
\(830\) | 9.59720e10 | + | 1.66228e11i | 0.202224 | + | 0.350262i | ||||
\(831\) | 2.02266e11 | + | 1.16779e11i | 0.424150 | + | 0.244883i | ||||
\(832\) | − | 3.59316e10i | − | 0.0749865i | ||||||
\(833\) | −1.59600e11 | + | 6.82221e11i | −0.331476 | + | 1.41692i | ||||
\(834\) | −1.92060e11 | −0.396984 | ||||||||
\(835\) | −5.48541e11 | + | 9.50101e11i | −1.12840 | + | 1.95445i | ||||
\(836\) | 3.49831e10 | − | 2.01975e10i | 0.0716197 | − | 0.0413497i | ||||
\(837\) | −2.76744e10 | − | 4.79335e10i | −0.0563867 | − | 0.0976646i | ||||
\(838\) | 6.63621e10 | + | 3.83142e10i | 0.134569 | + | 0.0776933i | ||||
\(839\) | − | 3.20676e10i | − | 0.0647171i | −0.999476 | − | 0.0323585i | \(-0.989698\pi\) | ||
0.999476 | − | 0.0323585i | \(-0.0103018\pi\) | |||||||
\(840\) | −1.78567e11 | + | 7.73340e10i | −0.358662 | + | 0.155329i | ||||
\(841\) | −4.85128e11 | −0.969779 | ||||||||
\(842\) | 1.75403e11 | − | 3.03808e11i | 0.348971 | − | 0.604436i | ||||
\(843\) | −2.60895e11 | + | 1.50628e11i | −0.516601 | + | 0.298260i | ||||
\(844\) | 5.22095e10 | + | 9.04295e10i | 0.102892 | + | 0.178213i | ||||
\(845\) | −5.41183e11 | − | 3.12452e11i | −1.06149 | − | 0.612853i | ||||
\(846\) | − | 1.12239e11i | − | 0.219110i | ||||||
\(847\) | −5.66258e10 | + | 4.90638e11i | −0.110022 | + | 0.953295i | ||||
\(848\) | 2.05672e11 | 0.397733 | ||||||||
\(849\) | −9.34541e10 | + | 1.61867e11i | −0.179874 | + | 0.311550i | ||||
\(850\) | 1.24030e12 | − | 7.16089e11i | 2.37603 | − | 1.37180i | ||||
\(851\) | 2.73808e11 | + | 4.74250e11i | 0.522069 | + | 0.904251i | ||||
\(852\) | 1.52979e11 | + | 8.83226e10i | 0.290318 | + | 0.167615i | ||||
\(853\) | 6.74482e11i | 1.27401i | 0.770858 | + | 0.637007i | \(0.219828\pi\) | ||||
−0.770858 | + | 0.637007i | \(0.780172\pi\) | |||||||
\(854\) | 1.63960e11 | − | 2.20905e11i | 0.308252 | − | 0.415311i | ||||
\(855\) | −2.80755e11 | −0.525367 | ||||||||
\(856\) | −6.92294e10 | + | 1.19909e11i | −0.128942 | + | 0.223335i | ||||
\(857\) | 4.61976e11 | − | 2.66722e11i | 0.856438 | − | 0.494465i | −0.00638000 | − | 0.999980i | \(-0.502031\pi\) |
0.862818 | + | 0.505515i | \(0.168697\pi\) | |||||||
\(858\) | −1.33347e10 | − | 2.30964e10i | −0.0246056 | − | 0.0426182i | ||||
\(859\) | −1.81156e11 | − | 1.04590e11i | −0.332720 | − | 0.192096i | 0.324328 | − | 0.945945i | \(-0.394862\pi\) |
−0.657048 | + | 0.753849i | \(0.728195\pi\) | |||||||
\(860\) | 1.02193e12i | 1.86821i | ||||||||
\(861\) | −2.91590e11 | − | 2.16424e11i | −0.530591 | − | 0.393815i | ||||
\(862\) | −1.49933e11 | −0.271561 | ||||||||
\(863\) | 8.84866e10 | − | 1.53263e11i | 0.159527 | − | 0.276309i | −0.775171 | − | 0.631751i | \(-0.782336\pi\) |
0.934698 | + | 0.355442i | \(0.115670\pi\) | |||||||
\(864\) | 1.64183e10 | − | 9.47912e9i | 0.0294628 | − | 0.0170103i | ||||
\(865\) | −9.52404e11 | − | 1.64961e12i | −1.70121 | − | 2.94657i | ||||
\(866\) | −5.66402e11 | − | 3.27012e11i | −1.00706 | − | 0.581424i | ||||
\(867\) | 3.64567e11i | 0.645209i | ||||||||
\(868\) | −1.65221e11 | − | 1.90685e10i | −0.291062 | − | 0.0335922i | ||||
\(869\) | −3.53893e7 | −6.20573e−5 | ||||||||
\(870\) | −3.89264e10 | + | 6.74225e10i | −0.0679466 | + | 0.117687i | ||||
\(871\) | −3.51627e10 | + | 2.03012e10i | −0.0610956 | + | 0.0352735i | ||||
\(872\) | 1.32596e11 | + | 2.29663e11i | 0.229331 | + | 0.397214i | ||||
\(873\) | 2.16514e11 | + | 1.25004e11i | 0.372760 | + | 0.215213i | ||||
\(874\) | 3.26715e11i | 0.559917i | ||||||||
\(875\) | 7.43299e11 | + | 1.71631e12i | 1.26804 | + | 2.92795i | ||||
\(876\) | 1.19379e11 | 0.202727 | ||||||||
\(877\) | 1.08864e11 | − | 1.88559e11i | 0.184030 | − | 0.318749i | −0.759220 | − | 0.650835i | \(-0.774419\pi\) |
0.943249 | + | 0.332086i | \(0.107752\pi\) | |||||||
\(878\) | 3.63548e10 | − | 2.09894e10i | 0.0611763 | − | 0.0353202i | ||||
\(879\) | −9.23963e10 | − | 1.60035e11i | −0.154774 | − | 0.268077i | ||||
\(880\) | 4.99558e10 | + | 2.88420e10i | 0.0833020 | + | 0.0480945i | ||||
\(881\) | 6.31061e10i | 0.104753i | 0.998627 | + | 0.0523766i | \(0.0166796\pi\) | ||||
−0.998627 | + | 0.0523766i | \(0.983320\pi\) | |||||||
\(882\) | 1.38889e11 | + | 3.24919e10i | 0.229506 | + | 0.0536908i | ||||
\(883\) | −7.90938e10 | −0.130107 | −0.0650533 | − | 0.997882i | \(-0.520722\pi\) | ||||
−0.0650533 | + | 0.997882i | \(0.520722\pi\) | |||||||
\(884\) | 1.33272e11 | − | 2.30833e11i | 0.218237 | − | 0.377997i | ||||
\(885\) | −2.79754e10 | + | 1.61516e10i | −0.0456040 | + | 0.0263295i | ||||
\(886\) | 1.46931e10 | + | 2.54492e10i | 0.0238440 | + | 0.0412990i | ||||
\(887\) | 2.73865e11 | + | 1.58116e11i | 0.442427 | + | 0.255435i | 0.704627 | − | 0.709578i | \(-0.251115\pi\) |
−0.262199 | + | 0.965014i | \(0.584448\pi\) | |||||||
\(888\) | − | 1.37763e11i | − | 0.221554i | ||||||
\(889\) | 5.18619e11 | − | 2.24604e11i | 0.830313 | − | 0.359592i | ||||
\(890\) | 1.07951e12 | 1.72055 | ||||||||
\(891\) | 7.03566e9 | − | 1.21861e10i | 0.0111633 | − | 0.0193355i | ||||
\(892\) | −5.04754e11 | + | 2.91420e11i | −0.797298 | + | 0.460320i | ||||
\(893\) | −2.43299e11 | − | 4.21406e11i | −0.382590 | − | 0.662666i | ||||
\(894\) | 2.78335e11 | + | 1.60697e11i | 0.435730 | + | 0.251569i | ||||
\(895\) | − | 7.07140e11i | − | 1.10208i | ||||||
\(896\) | 6.53141e9 | − | 5.65918e10i | 0.0101339 | − | 0.0878055i | ||||
\(897\) | 2.15703e11 | 0.333185 | ||||||||
\(898\) | 1.28191e11 | − | 2.22034e11i | 0.197130 | − | 0.341440i | ||||
\(899\) | −5.76252e10 | + | 3.32699e10i | −0.0882214 | + | 0.0509346i | ||||
\(900\) | −1.45784e11 | − | 2.52505e11i | −0.222198 | − | 0.384858i | ||||
\(901\) | 1.32129e12 | + | 7.62845e11i | 2.00492 | + | 1.15754i | ||||
\(902\) | 1.07644e11i | 0.162616i | ||||||||
\(903\) | 4.46447e11 | − | 6.01503e11i | 0.671458 | − | 0.904663i | ||||
\(904\) | −4.62783e10 | −0.0692952 | ||||||||
\(905\) | 1.21216e11 | − | 2.09952e11i | 0.180703 | − | 0.312986i | ||||
\(906\) | 2.45131e11 | − | 1.41527e11i | 0.363820 | − | 0.210051i | ||||
\(907\) | −1.44966e11 | − | 2.51089e11i | −0.214209 | − | 0.371021i | 0.738819 | − | 0.673904i | \(-0.235384\pi\) |
−0.953028 | + | 0.302883i | \(0.902051\pi\) | |||||||
\(908\) | 3.72415e11 | + | 2.15014e11i | 0.547878 | + | 0.316317i | ||||
\(909\) | 3.88489e11i | 0.569015i | ||||||||
\(910\) | 4.47251e11 | + | 3.31958e11i | 0.652208 | + | 0.484081i | ||||
\(911\) | −7.44580e11 | −1.08103 | −0.540515 | − | 0.841334i | \(-0.681771\pi\) | ||||
−0.540515 | + | 0.841334i | \(0.681771\pi\) | |||||||
\(912\) | 4.10955e10 | − | 7.11795e10i | 0.0594039 | − | 0.102891i | ||||
\(913\) | −3.61193e10 | + | 2.08535e10i | −0.0519824 | + | 0.0300120i | ||||
\(914\) | −2.87228e10 | − | 4.97493e10i | −0.0411568 | − | 0.0712857i | ||||
\(915\) | 4.90853e11 | + | 2.83394e11i | 0.700273 | + | 0.404303i | ||||
\(916\) | − | 3.25054e10i | − | 0.0461715i | ||||||
\(917\) | −6.26938e11 | − | 7.23565e10i | −0.886640 | − | 0.102329i | ||||
\(918\) | 1.40634e11 | 0.198024 | ||||||||
\(919\) | 6.16321e11 | − | 1.06750e12i | 0.864061 | − | 1.49660i | −0.00391475 | − | 0.999992i | \(-0.501246\pi\) |
0.867976 | − | 0.496606i | \(-0.165421\pi\) | |||||||
\(920\) | −4.04044e11 | + | 2.33275e11i | −0.563997 | + | 0.325624i | ||||
\(921\) | 7.38207e10 | + | 1.27861e11i | 0.102598 | + | 0.177705i | ||||
\(922\) | −5.28958e11 | − | 3.05394e11i | −0.731978 | − | 0.422607i | ||||
\(923\) | − | 5.05608e11i | − | 0.696637i | ||||||
\(924\) | −1.68037e10 | − | 3.88004e10i | −0.0230524 | − | 0.0532290i | ||||
\(925\) | −2.11872e12 | −2.89405 | ||||||||
\(926\) | −1.18890e11 | + | 2.05923e11i | −0.161696 | + | 0.280066i | ||||
\(927\) | −3.03871e11 | + | 1.75440e11i | −0.411500 | + | 0.237580i | ||||
\(928\) | −1.13957e10 | − | 1.97380e10i | −0.0153656 | − | 0.0266140i | ||||
\(929\) | −2.15201e11 | − | 1.24246e11i | −0.288922 | − | 0.166809i | 0.348533 | − | 0.937296i | \(-0.386680\pi\) |
−0.637456 | + | 0.770487i | \(0.720013\pi\) | |||||||
\(930\) | − | 3.42660e11i | − | 0.458069i | ||||||
\(931\) | 5.91896e11 | − | 1.79075e11i | 0.787856 | − | 0.238362i | ||||
\(932\) | 6.53827e10 | 0.0866561 | ||||||||
\(933\) | 1.63695e11 | − | 2.83529e11i | 0.216028 | − | 0.374171i | ||||
\(934\) | −3.62790e11 | + | 2.09457e11i | −0.476725 | + | 0.275237i | ||||
\(935\) | 2.13952e11 | + | 3.70576e11i | 0.279943 | + | 0.484876i | ||||
\(936\) | −4.69938e10 | − | 2.71319e10i | −0.0612262 | − | 0.0353490i | ||||
\(937\) | − | 3.46983e11i | − | 0.450143i | −0.974342 | − | 0.225071i | \(-0.927738\pi\) | ||
0.974342 | − | 0.225071i | \(-0.0722615\pi\) | |||||||
\(938\) | −5.90711e10 | + | 2.55825e10i | −0.0763069 | + | 0.0330470i | ||||
\(939\) | −3.09843e11 | −0.398546 | ||||||||
\(940\) | 3.47431e11 | − | 6.01768e11i | 0.444997 | − | 0.770757i | ||||
\(941\) | −1.85964e10 | + | 1.07366e10i | −0.0237176 | + | 0.0136933i | −0.511812 | − | 0.859098i | \(-0.671026\pi\) |
0.488094 | + | 0.872791i | \(0.337692\pi\) | |||||||
\(942\) | −1.65761e11 | − | 2.87107e11i | −0.210513 | − | 0.364619i | ||||
\(943\) | −7.53983e11 | − | 4.35312e11i | −0.953487 | − | 0.550496i | ||||
\(944\) | − | 9.45676e9i | − | 0.0119084i | ||||||
\(945\) | −3.36933e10 | + | 2.91938e11i | −0.0422490 | + | 0.366069i | ||||
\(946\) | −2.22052e11 | −0.277261 | ||||||||
\(947\) | −5.97454e11 | + | 1.03482e12i | −0.742856 | + | 1.28666i | 0.208334 | + | 0.978058i | \(0.433196\pi\) |
−0.951190 | + | 0.308606i | \(0.900138\pi\) | |||||||
\(948\) | −6.23590e7 | + | 3.60030e7i | −7.72086e−5 | + | 4.45764e-5i | ||||
\(949\) | −1.70848e11 | − | 2.95917e11i | −0.210642 | − | 0.364842i | ||||
\(950\) | −1.09470e12 | − | 6.32027e11i | −1.34401 | − | 0.775963i | ||||
\(951\) | − | 3.45123e11i | − | 0.421941i | ||||||
\(952\) | 2.51860e11 | − | 3.39334e11i | 0.306628 | − | 0.413123i | ||||
\(953\) | 3.74144e11 | 0.453594 | 0.226797 | − | 0.973942i | \(-0.427175\pi\) | ||||
0.226797 | + | 0.973942i | \(0.427175\pi\) | |||||||
\(954\) | 1.55303e11 | − | 2.68992e11i | 0.187493 | − | 0.324748i | ||||
\(955\) | −1.65992e12 | + | 9.58356e11i | −1.99560 | + | 1.15216i | ||||
\(956\) | −3.26466e11 | − | 5.65456e11i | −0.390847 | − | 0.676967i | ||||
\(957\) | −1.46501e10 | − | 8.45821e9i | −0.0174659 | − | 0.0100840i | ||||
\(958\) | 9.92987e10i | 0.117891i | ||||||||
\(959\) | −9.06184e10 | − | 6.72587e10i | −0.107138 | − | 0.0795196i | ||||
\(960\) | 1.17369e11 | 0.138187 | ||||||||
\(961\) | −2.80012e11 | + | 4.84995e11i | −0.328309 | + | 0.568648i | ||||
\(962\) | −3.41487e11 | + | 1.97158e11i | −0.398725 | + | 0.230204i | ||||
\(963\) | 1.04550e11 | + | 1.81086e11i | 0.121568 | + | 0.210562i | ||||
\(964\) | −3.38410e11 | − | 1.95381e11i | −0.391864 | − | 0.226243i | ||||
\(965\) | − | 5.85507e11i | − | 0.675185i | ||||||
\(966\) | 3.39729e11 | + | 3.92090e10i | 0.390143 | + | 0.0450274i | ||||
\(967\) | 2.62550e11 | 0.300265 | 0.150133 | − | 0.988666i | \(-0.452030\pi\) | ||||
0.150133 | + | 0.988666i | \(0.452030\pi\) | |||||||
\(968\) | 1.48945e11 | − | 2.57981e11i | 0.169639 | − | 0.293823i | ||||
\(969\) | 5.28014e11 | − | 3.04849e11i | 0.598895 | − | 0.345772i | ||||
\(970\) | 7.73891e11 | + | 1.34042e12i | 0.874164 | + | 1.51410i | ||||
\(971\) | 2.27809e11 | + | 1.31526e11i | 0.256268 | + | 0.147957i | 0.622631 | − | 0.782516i | \(-0.286064\pi\) |
−0.366363 | + | 0.930472i | \(0.619397\pi\) | |||||||
\(972\) | − | 2.86307e10i | − | 0.0320750i | ||||||
\(973\) | 3.46370e11 | + | 7.99783e11i | 0.386446 | + | 0.892321i | ||||
\(974\) | 6.93139e11 | 0.770166 | ||||||||
\(975\) | −4.17274e11 | + | 7.22740e11i | −0.461746 | + | 0.799768i | ||||
\(976\) | −1.43697e11 | + | 8.29637e10i | −0.158361 | + | 0.0914300i | ||||
\(977\) | 4.39954e11 | + | 7.62023e11i | 0.482869 | + | 0.836353i | 0.999807 | − | 0.0196697i | \(-0.00626146\pi\) |
−0.516938 | + | 0.856023i | \(0.672928\pi\) | |||||||
\(978\) | 3.93172e11 | + | 2.26998e11i | 0.429761 | + | 0.248123i | ||||
\(979\) | 2.34564e11i | 0.255347i | ||||||||
\(980\) | 6.44074e11 | + | 6.04129e11i | 0.698283 | + | 0.654976i | ||||
\(981\) | 4.00492e11 | 0.432432 | ||||||||
\(982\) | −6.77286e10 | + | 1.17309e11i | −0.0728327 | + | 0.126150i | ||||
\(983\) | 7.13400e11 | − | 4.11882e11i | 0.764046 | − | 0.441122i | −0.0667008 | − | 0.997773i | \(-0.521247\pi\) |
0.830746 | + | 0.556651i | \(0.187914\pi\) | |||||||
\(984\) | 1.09511e11 | + | 1.89678e11i | 0.116809 | + | 0.202319i | ||||
\(985\) | −2.06399e12 | − | 1.19165e12i | −2.19262 | − | 1.26591i | ||||
\(986\) | − | 1.69069e11i | − | 0.178877i | ||||||
\(987\) | −4.67390e11 | + | 2.02417e11i | −0.492505 | + | 0.213294i | ||||
\(988\) | −2.35253e11 | −0.246893 | ||||||||
\(989\) | 8.97979e11 | − | 1.55534e12i | 0.938601 | − | 1.62570i | ||||
\(990\) | 7.54432e10 | − | 4.35572e10i | 0.0785379 | − | 0.0453439i | ||||
\(991\) | −2.13235e11 | − | 3.69335e11i | −0.221088 | − | 0.382935i | 0.734051 | − | 0.679095i | \(-0.237627\pi\) |
−0.955139 | + | 0.296159i | \(0.904294\pi\) | |||||||
\(992\) | 8.68742e10 | + | 5.01568e10i | 0.0897107 | + | 0.0517945i | ||||
\(993\) | 6.70145e11i | 0.689242i | ||||||||
\(994\) | 9.19061e10 | − | 7.96326e11i | 0.0941453 | − | 0.815728i | ||||
\(995\) | 6.05547e11 | 0.617810 | ||||||||
\(996\) | −4.24302e10 | + | 7.34913e10i | −0.0431160 | + | 0.0746790i | ||||
\(997\) | −1.47698e12 | + | 8.52733e11i | −1.49483 | + | 0.863043i | −0.999982 | − | 0.00593479i | \(-0.998111\pi\) |
−0.494852 | + | 0.868978i | \(0.664778\pi\) | |||||||
\(998\) | −4.80365e10 | − | 8.32017e10i | −0.0484228 | − | 0.0838707i | ||||
\(999\) | −1.80176e11 | − | 1.04024e11i | −0.180898 | − | 0.104442i |
(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 | 42.9.g.b.19.1 | ✓ | 12 | |
3.2 | odd | 2 | 126.9.n.c.19.6 | 12 | |||
7.2 | even | 3 | 294.9.c.b.97.9 | 12 | |||
7.3 | odd | 6 | inner | 42.9.g.b.31.1 | yes | 12 | |
7.5 | odd | 6 | 294.9.c.b.97.10 | 12 | |||
21.17 | even | 6 | 126.9.n.c.73.6 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
42.9.g.b.19.1 | ✓ | 12 | 1.1 | even | 1 | trivial | |
42.9.g.b.31.1 | yes | 12 | 7.3 | odd | 6 | inner | |
126.9.n.c.19.6 | 12 | 3.2 | odd | 2 | |||
126.9.n.c.73.6 | 12 | 21.17 | even | 6 | |||
294.9.c.b.97.9 | 12 | 7.2 | even | 3 | |||
294.9.c.b.97.10 | 12 | 7.5 | odd | 6 |