Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,8,Mod(7,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.7");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.c (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: | \(11.8706309684\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 10165 x^{10} - 228496 x^{9} + 79937698 x^{8} - 1362528496 x^{7} + 222057453949 x^{6} + \cdots + 20\!\cdots\!25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{3}\cdot 7^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Root | \(-21.5062 + 37.2499i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.11 |
Dual form | 38.8.c.a.7.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.00000 | + | 6.92820i | −0.353553 | + | 0.612372i | ||||
\(3\) | −20.5062 | + | 35.5178i | −0.438492 | + | 0.759490i | −0.997573 | − | 0.0696227i | \(-0.977820\pi\) |
0.559082 | + | 0.829113i | \(0.311154\pi\) | |||||||
\(4\) | −32.0000 | − | 55.4256i | −0.250000 | − | 0.433013i | ||||
\(5\) | −273.130 | + | 473.076i | −0.977181 | + | 1.69253i | −0.304638 | + | 0.952468i | \(0.598536\pi\) |
−0.672543 | + | 0.740058i | \(0.734798\pi\) | |||||||
\(6\) | −164.050 | − | 284.143i | −0.310060 | − | 0.537040i | ||||
\(7\) | −154.247 | −0.169971 | −0.0849855 | − | 0.996382i | \(-0.527084\pi\) | ||||
−0.0849855 | + | 0.996382i | \(0.527084\pi\) | |||||||
\(8\) | 512.000 | 0.353553 | ||||||||
\(9\) | 252.489 | + | 437.324i | 0.115450 | + | 0.199965i | ||||
\(10\) | −2185.04 | − | 3784.60i | −0.690971 | − | 1.19680i | ||||
\(11\) | −4153.91 | −0.940984 | −0.470492 | − | 0.882404i | \(-0.655924\pi\) | ||||
−0.470492 | + | 0.882404i | \(0.655924\pi\) | |||||||
\(12\) | 2624.80 | 0.438492 | ||||||||
\(13\) | 4201.88 | + | 7277.88i | 0.530447 | + | 0.918762i | 0.999369 | + | 0.0355220i | \(0.0113094\pi\) |
−0.468921 | + | 0.883240i | \(0.655357\pi\) | |||||||
\(14\) | 616.990 | − | 1068.66i | 0.0600938 | − | 0.104086i | ||||
\(15\) | −11201.7 | − | 19402.0i | −0.856971 | − | 1.48432i | ||||
\(16\) | −2048.00 | + | 3547.24i | −0.125000 | + | 0.216506i | ||||
\(17\) | 16175.7 | − | 28017.1i | 0.798531 | − | 1.38310i | −0.122041 | − | 0.992525i | \(-0.538944\pi\) |
0.920573 | − | 0.390572i | \(-0.127723\pi\) | |||||||
\(18\) | −4039.83 | −0.163271 | ||||||||
\(19\) | 6628.11 | − | 29153.7i | 0.221693 | − | 0.975117i | ||||
\(20\) | 34960.7 | 0.977181 | ||||||||
\(21\) | 3163.03 | − | 5478.53i | 0.0745309 | − | 0.129091i | ||||
\(22\) | 16615.6 | − | 28779.1i | 0.332688 | − | 0.576233i | ||||
\(23\) | 32161.4 | + | 55705.2i | 0.551173 | + | 0.954659i | 0.998190 | + | 0.0601338i | \(0.0191527\pi\) |
−0.447018 | + | 0.894525i | \(0.647514\pi\) | |||||||
\(24\) | −10499.2 | + | 18185.1i | −0.155030 | + | 0.268520i | ||||
\(25\) | −110138. | − | 190764.i | −1.40976 | − | 2.44178i | ||||
\(26\) | −67230.1 | −0.750166 | ||||||||
\(27\) | −110405. | −1.07948 | ||||||||
\(28\) | 4935.92 | + | 8549.26i | 0.0424927 | + | 0.0735996i | ||||
\(29\) | 101353. | + | 175549.i | 0.771693 | + | 1.33661i | 0.936635 | + | 0.350307i | \(0.113923\pi\) |
−0.164942 | + | 0.986303i | \(0.552744\pi\) | |||||||
\(30\) | 179228. | 1.21194 | ||||||||
\(31\) | −132507. | −0.798861 | −0.399431 | − | 0.916763i | \(-0.630792\pi\) | ||||
−0.399431 | + | 0.916763i | \(0.630792\pi\) | |||||||
\(32\) | −16384.0 | − | 28377.9i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 85180.9 | − | 147538.i | 0.412614 | − | 0.714668i | ||||
\(34\) | 129406. | + | 224137.i | 0.564647 | + | 0.977997i | ||||
\(35\) | 42129.6 | − | 72970.7i | 0.166092 | − | 0.287680i | ||||
\(36\) | 16159.3 | − | 27988.8i | 0.0577250 | − | 0.0999827i | ||||
\(37\) | 93680.1 | 0.304047 | 0.152024 | − | 0.988377i | \(-0.451421\pi\) | ||||
0.152024 | + | 0.988377i | \(0.451421\pi\) | |||||||
\(38\) | 175471. | + | 162536.i | 0.518754 | + | 0.480514i | ||||
\(39\) | −344659. | −0.930387 | ||||||||
\(40\) | −139843. | + | 242215.i | −0.345486 | + | 0.598399i | ||||
\(41\) | −248414. | + | 430265.i | −0.562901 | + | 0.974973i | 0.434340 | + | 0.900749i | \(0.356982\pi\) |
−0.997242 | + | 0.0742246i | \(0.976352\pi\) | |||||||
\(42\) | 25304.3 | + | 43828.3i | 0.0527013 | + | 0.0912813i | ||||
\(43\) | −172620. | + | 298987.i | −0.331095 | + | 0.573473i | −0.982727 | − | 0.185062i | \(-0.940751\pi\) |
0.651632 | + | 0.758535i | \(0.274085\pi\) | |||||||
\(44\) | 132925. | + | 230233.i | 0.235246 | + | 0.407458i | ||||
\(45\) | −275850. | −0.451262 | ||||||||
\(46\) | −514583. | −0.779476 | ||||||||
\(47\) | −20822.9 | − | 36066.4i | −0.0292549 | − | 0.0506711i | 0.851027 | − | 0.525122i | \(-0.175980\pi\) |
−0.880282 | + | 0.474450i | \(0.842647\pi\) | |||||||
\(48\) | −83993.5 | − | 145481.i | −0.109623 | − | 0.189872i | ||||
\(49\) | −799751. | −0.971110 | ||||||||
\(50\) | 1.76221e6 | 1.99371 | ||||||||
\(51\) | 663405. | + | 1.14905e6i | 0.700299 | + | 1.21295i | ||||
\(52\) | 268921. | − | 465784.i | 0.265224 | − | 0.459381i | ||||
\(53\) | 164905. | + | 285623.i | 0.152148 | + | 0.263529i | 0.932017 | − | 0.362414i | \(-0.118047\pi\) |
−0.779869 | + | 0.625943i | \(0.784714\pi\) | |||||||
\(54\) | 441619. | − | 764906.i | 0.381653 | − | 0.661043i | ||||
\(55\) | 1.13456e6 | − | 1.96511e6i | 0.919512 | − | 1.59264i | ||||
\(56\) | −78974.7 | −0.0600938 | ||||||||
\(57\) | 899560. | + | 833249.i | 0.643381 | + | 0.595954i | ||||
\(58\) | −1.62165e6 | −1.09134 | ||||||||
\(59\) | 815192. | − | 1.41195e6i | 0.516747 | − | 0.895032i | −0.483064 | − | 0.875585i | \(-0.660476\pi\) |
0.999811 | − | 0.0194470i | \(-0.00619057\pi\) | |||||||
\(60\) | −716912. | + | 1.24173e6i | −0.428486 | + | 0.742159i | ||||
\(61\) | −13024.4 | − | 22558.9i | −0.00734688 | − | 0.0127252i | 0.862329 | − | 0.506349i | \(-0.169005\pi\) |
−0.869675 | + | 0.493624i | \(0.835672\pi\) | |||||||
\(62\) | 530026. | − | 918032.i | 0.282440 | − | 0.489201i | ||||
\(63\) | −38945.8 | − | 67456.1i | −0.0196232 | − | 0.0339883i | ||||
\(64\) | 262144. | 0.125000 | ||||||||
\(65\) | −4.59065e6 | −2.07337 | ||||||||
\(66\) | 681448. | + | 1.18030e6i | 0.291762 | + | 0.505347i | ||||
\(67\) | −1.61635e6 | − | 2.79960e6i | −0.656559 | − | 1.13719i | −0.981500 | − | 0.191460i | \(-0.938678\pi\) |
0.324941 | − | 0.945734i | \(-0.394656\pi\) | |||||||
\(68\) | −2.07049e6 | −0.798531 | ||||||||
\(69\) | −2.63804e6 | −0.966738 | ||||||||
\(70\) | 337037. | + | 583765.i | 0.117445 | + | 0.203421i | ||||
\(71\) | 819449. | − | 1.41933e6i | 0.271718 | − | 0.470629i | −0.697584 | − | 0.716503i | \(-0.745742\pi\) |
0.969302 | + | 0.245874i | \(0.0790750\pi\) | |||||||
\(72\) | 129275. | + | 223910.i | 0.0408178 | + | 0.0706984i | ||||
\(73\) | 938190. | − | 1.62499e6i | 0.282267 | − | 0.488902i | −0.689675 | − | 0.724119i | \(-0.742247\pi\) |
0.971943 | + | 0.235217i | \(0.0755801\pi\) | |||||||
\(74\) | −374720. | + | 649035.i | −0.107497 | + | 0.186190i | ||||
\(75\) | 9.03405e6 | 2.47268 | ||||||||
\(76\) | −1.82796e6 | + | 565552.i | −0.477661 | + | 0.147783i | ||||
\(77\) | 640729. | 0.159940 | ||||||||
\(78\) | 1.37864e6 | − | 2.38787e6i | 0.328942 | − | 0.569743i | ||||
\(79\) | −304783. | + | 527899.i | −0.0695497 | + | 0.120464i | −0.898703 | − | 0.438557i | \(-0.855490\pi\) |
0.829153 | + | 0.559021i | \(0.188823\pi\) | |||||||
\(80\) | −1.11874e6 | − | 1.93772e6i | −0.244295 | − | 0.423132i | ||||
\(81\) | 1.71179e6 | − | 2.96491e6i | 0.357892 | − | 0.619888i | ||||
\(82\) | −1.98731e6 | − | 3.44212e6i | −0.398031 | − | 0.689410i | ||||
\(83\) | −2.79851e6 | −0.537222 | −0.268611 | − | 0.963249i | \(-0.586565\pi\) | ||||
−0.268611 | + | 0.963249i | \(0.586565\pi\) | |||||||
\(84\) | −404868. | −0.0745309 | ||||||||
\(85\) | 8.83615e6 | + | 1.53047e7i | 1.56062 | + | 2.70307i | ||||
\(86\) | −1.38096e6 | − | 2.39190e6i | −0.234119 | − | 0.405507i | ||||
\(87\) | −8.31348e6 | −1.35352 | ||||||||
\(88\) | −2.12680e6 | −0.332688 | ||||||||
\(89\) | 1.68177e6 | + | 2.91292e6i | 0.252873 | + | 0.437989i | 0.964316 | − | 0.264755i | \(-0.0852911\pi\) |
−0.711442 | + | 0.702744i | \(0.751958\pi\) | |||||||
\(90\) | 1.10340e6 | − | 1.91114e6i | 0.159545 | − | 0.276341i | ||||
\(91\) | −648130. | − | 1.12259e6i | −0.0901607 | − | 0.156163i | ||||
\(92\) | 2.05833e6 | − | 3.56513e6i | 0.275586 | − | 0.477329i | ||||
\(93\) | 2.71721e6 | − | 4.70634e6i | 0.350294 | − | 0.606727i | ||||
\(94\) | 333167. | 0.0413727 | ||||||||
\(95\) | 1.19816e7 | + | 1.10984e7i | 1.43378 | + | 1.32809i | ||||
\(96\) | 1.34390e6 | 0.155030 | ||||||||
\(97\) | −3.68140e6 | + | 6.37637e6i | −0.409555 | + | 0.709369i | −0.994840 | − | 0.101458i | \(-0.967649\pi\) |
0.585285 | + | 0.810827i | \(0.300983\pi\) | |||||||
\(98\) | 3.19900e6 | − | 5.54084e6i | 0.343339 | − | 0.594681i | ||||
\(99\) | −1.04882e6 | − | 1.81660e6i | −0.108637 | − | 0.188164i | ||||
\(100\) | −7.04882e6 | + | 1.22089e7i | −0.704882 | + | 1.22089i | ||||
\(101\) | 238004. | + | 412235.i | 0.0229858 | + | 0.0398126i | 0.877289 | − | 0.479962i | \(-0.159349\pi\) |
−0.854304 | + | 0.519774i | \(0.826016\pi\) | |||||||
\(102\) | −1.06145e7 | −0.990372 | ||||||||
\(103\) | −6.44953e6 | −0.581564 | −0.290782 | − | 0.956789i | \(-0.593915\pi\) | ||||
−0.290782 | + | 0.956789i | \(0.593915\pi\) | |||||||
\(104\) | 2.15136e6 | + | 3.72627e6i | 0.187541 | + | 0.324831i | ||||
\(105\) | 1.72784e6 | + | 2.99271e6i | 0.145660 | + | 0.252291i | ||||
\(106\) | −2.63848e6 | −0.215170 | ||||||||
\(107\) | 5.75553e6 | 0.454195 | 0.227098 | − | 0.973872i | \(-0.427076\pi\) | ||||
0.227098 | + | 0.973872i | \(0.427076\pi\) | |||||||
\(108\) | 3.53295e6 | + | 6.11925e6i | 0.269870 | + | 0.467428i | ||||
\(109\) | 4.69049e6 | − | 8.12417e6i | 0.346917 | − | 0.600878i | −0.638783 | − | 0.769387i | \(-0.720562\pi\) |
0.985700 | + | 0.168509i | \(0.0538951\pi\) | |||||||
\(110\) | 9.07646e6 | + | 1.57209e7i | 0.650193 | + | 1.12617i | ||||
\(111\) | −1.92103e6 | + | 3.32731e6i | −0.133322 | + | 0.230921i | ||||
\(112\) | 315899. | − | 547153.i | 0.0212464 | − | 0.0367998i | ||||
\(113\) | −9.60445e6 | −0.626178 | −0.313089 | − | 0.949724i | \(-0.601364\pi\) | ||||
−0.313089 | + | 0.949724i | \(0.601364\pi\) | |||||||
\(114\) | −9.37116e6 | + | 2.89934e6i | −0.592415 | + | 0.183287i | ||||
\(115\) | −3.51370e7 | −2.15438 | ||||||||
\(116\) | 6.48660e6 | − | 1.12351e7i | 0.385846 | − | 0.668305i | ||||
\(117\) | −2.12186e6 | + | 3.67517e6i | −0.122480 | + | 0.212142i | ||||
\(118\) | 6.52154e6 | + | 1.12956e7i | 0.365395 | + | 0.632883i | ||||
\(119\) | −2.49506e6 | + | 4.32157e6i | −0.135727 | + | 0.235086i | ||||
\(120\) | −5.73529e6 | − | 9.93382e6i | −0.302985 | − | 0.524786i | ||||
\(121\) | −2.23223e6 | −0.114549 | ||||||||
\(122\) | 208390. | 0.0103901 | ||||||||
\(123\) | −1.01881e7 | − | 1.76462e7i | −0.493655 | − | 0.855036i | ||||
\(124\) | 4.24021e6 | + | 7.34426e6i | 0.199715 | + | 0.345917i | ||||
\(125\) | 7.76513e7 | 3.55602 | ||||||||
\(126\) | 623133. | 0.0277513 | ||||||||
\(127\) | −2.26623e7 | − | 3.92523e7i | −0.981728 | − | 1.70040i | −0.655660 | − | 0.755056i | \(-0.727610\pi\) |
−0.326067 | − | 0.945346i | \(-0.605724\pi\) | |||||||
\(128\) | −1.04858e6 | + | 1.81619e6i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −7.07958e6 | − | 1.22622e7i | −0.290365 | − | 0.502926i | ||||
\(130\) | 1.83626e7 | − | 3.18049e7i | 0.733048 | − | 1.26968i | ||||
\(131\) | −1.10278e7 | + | 1.91007e7i | −0.428587 | + | 0.742334i | −0.996748 | − | 0.0805833i | \(-0.974322\pi\) |
0.568161 | + | 0.822917i | \(0.307655\pi\) | |||||||
\(132\) | −1.09032e7 | −0.412614 | ||||||||
\(133\) | −1.02237e6 | + | 4.49689e6i | −0.0376814 | + | 0.165741i | ||||
\(134\) | 2.58616e7 | 0.928515 | ||||||||
\(135\) | 3.01549e7 | − | 5.22297e7i | 1.05485 | − | 1.82705i | ||||
\(136\) | 8.28196e6 | − | 1.43448e7i | 0.282323 | − | 0.488999i | ||||
\(137\) | −9.51577e6 | − | 1.64818e7i | −0.316171 | − | 0.547624i | 0.663515 | − | 0.748163i | \(-0.269064\pi\) |
−0.979686 | + | 0.200539i | \(0.935731\pi\) | |||||||
\(138\) | 1.05521e7 | − | 1.82769e7i | 0.341794 | − | 0.592004i | ||||
\(139\) | 2.80421e7 | + | 4.85704e7i | 0.885644 | + | 1.53398i | 0.844974 | + | 0.534807i | \(0.179616\pi\) |
0.0406699 | + | 0.999173i | \(0.487051\pi\) | |||||||
\(140\) | −5.39259e6 | −0.166092 | ||||||||
\(141\) | 1.70800e6 | 0.0513122 | ||||||||
\(142\) | 6.55560e6 | + | 1.13546e7i | 0.192133 | + | 0.332785i | ||||
\(143\) | −1.74542e7 | − | 3.02316e7i | −0.499143 | − | 0.864540i | ||||
\(144\) | −2.06839e6 | −0.0577250 | ||||||||
\(145\) | −1.10730e8 | −3.01633 | ||||||||
\(146\) | 7.50552e6 | + | 1.29999e7i | 0.199593 | + | 0.345706i | ||||
\(147\) | 1.63999e7 | − | 2.84054e7i | 0.425824 | − | 0.737548i | ||||
\(148\) | −2.99776e6 | − | 5.19228e6i | −0.0760119 | − | 0.131656i | ||||
\(149\) | −2.94438e7 | + | 5.09982e7i | −0.729192 | + | 1.26300i | 0.228033 | + | 0.973653i | \(0.426771\pi\) |
−0.957225 | + | 0.289344i | \(0.906563\pi\) | |||||||
\(150\) | −3.61362e7 | + | 6.25897e7i | −0.874224 | + | 1.51420i | ||||
\(151\) | 7.76266e6 | 0.183481 | 0.0917405 | − | 0.995783i | \(-0.470757\pi\) | ||||
0.0917405 | + | 0.995783i | \(0.470757\pi\) | |||||||
\(152\) | 3.39359e6 | − | 1.49267e7i | 0.0783803 | − | 0.344756i | ||||
\(153\) | 1.63368e7 | 0.368762 | ||||||||
\(154\) | −2.56292e6 | + | 4.43910e6i | −0.0565473 | + | 0.0979428i | ||||
\(155\) | 3.61916e7 | − | 6.26856e7i | 0.780632 | − | 1.35209i | ||||
\(156\) | 1.10291e7 | + | 1.91029e7i | 0.232597 | + | 0.402869i | ||||
\(157\) | −4.46555e7 | + | 7.73456e7i | −0.920929 | + | 1.59510i | −0.122949 | + | 0.992413i | \(0.539235\pi\) |
−0.797980 | + | 0.602683i | \(0.794098\pi\) | |||||||
\(158\) | −2.43826e6 | − | 4.22319e6i | −0.0491791 | − | 0.0851807i | ||||
\(159\) | −1.35263e7 | −0.266863 | ||||||||
\(160\) | 1.78999e7 | 0.345486 | ||||||||
\(161\) | −4.96081e6 | − | 8.59238e6i | −0.0936833 | − | 0.162264i | ||||
\(162\) | 1.36943e7 | + | 2.37192e7i | 0.253068 | + | 0.438327i | ||||
\(163\) | 3.48661e7 | 0.630589 | 0.315294 | − | 0.948994i | \(-0.397897\pi\) | ||||
0.315294 | + | 0.948994i | \(0.397897\pi\) | |||||||
\(164\) | 3.17970e7 | 0.562901 | ||||||||
\(165\) | 4.65310e7 | + | 8.05940e7i | 0.806396 | + | 1.39672i | ||||
\(166\) | 1.11940e7 | − | 1.93887e7i | 0.189937 | − | 0.328980i | ||||
\(167\) | −4.69765e7 | − | 8.13658e7i | −0.780501 | − | 1.35187i | −0.931650 | − | 0.363356i | \(-0.881631\pi\) |
0.151149 | − | 0.988511i | \(-0.451703\pi\) | |||||||
\(168\) | 1.61947e6 | − | 2.80501e6i | 0.0263506 | − | 0.0456406i | ||||
\(169\) | −3.93740e6 | + | 6.81978e6i | −0.0627489 | + | 0.108684i | ||||
\(170\) | −1.41378e8 | −2.20705 | ||||||||
\(171\) | 1.44232e7 | − | 4.46237e6i | 0.220584 | − | 0.0682464i | ||||
\(172\) | 2.20954e7 | 0.331095 | ||||||||
\(173\) | −2.32466e7 | + | 4.02642e7i | −0.341348 | + | 0.591232i | −0.984683 | − | 0.174352i | \(-0.944217\pi\) |
0.643335 | + | 0.765585i | \(0.277550\pi\) | |||||||
\(174\) | 3.32539e7 | − | 5.75975e7i | 0.478543 | − | 0.828860i | ||||
\(175\) | 1.69885e7 | + | 2.94249e7i | 0.239619 | + | 0.415032i | ||||
\(176\) | 8.50720e6 | − | 1.47349e7i | 0.117623 | − | 0.203729i | ||||
\(177\) | 3.34330e7 | + | 5.79077e7i | 0.453179 | + | 0.784928i | ||||
\(178\) | −2.69084e7 | −0.357617 | ||||||||
\(179\) | 1.07319e8 | 1.39859 | 0.699293 | − | 0.714835i | \(-0.253498\pi\) | ||||
0.699293 | + | 0.714835i | \(0.253498\pi\) | |||||||
\(180\) | 8.82720e6 | + | 1.52892e7i | 0.112816 | + | 0.195402i | ||||
\(181\) | 6.67351e6 | + | 1.15589e7i | 0.0836526 | + | 0.144891i | 0.904816 | − | 0.425802i | \(-0.140008\pi\) |
−0.821164 | + | 0.570693i | \(0.806675\pi\) | |||||||
\(182\) | 1.03701e7 | 0.127506 | ||||||||
\(183\) | 1.06832e6 | 0.0128862 | ||||||||
\(184\) | 1.64666e7 | + | 2.85211e7i | 0.194869 | + | 0.337523i | ||||
\(185\) | −2.55869e7 | + | 4.43178e7i | −0.297109 | + | 0.514608i | ||||
\(186\) | 2.17377e7 | + | 3.76508e7i | 0.247695 | + | 0.429021i | ||||
\(187\) | −6.71924e7 | + | 1.16381e8i | −0.751405 | + | 1.30147i | ||||
\(188\) | −1.33267e6 | + | 2.30825e6i | −0.0146275 | + | 0.0253355i | ||||
\(189\) | 1.70296e7 | 0.183480 | ||||||||
\(190\) | −1.24818e8 | + | 3.86174e7i | −1.32020 | + | 0.408456i | ||||
\(191\) | −6.55337e7 | −0.680531 | −0.340266 | − | 0.940329i | \(-0.610517\pi\) | ||||
−0.340266 | + | 0.940329i | \(0.610517\pi\) | |||||||
\(192\) | −5.37558e6 | + | 9.31079e6i | −0.0548115 | + | 0.0949362i | ||||
\(193\) | 4.82731e6 | − | 8.36115e6i | 0.0483342 | − | 0.0837173i | −0.840846 | − | 0.541274i | \(-0.817942\pi\) |
0.889180 | + | 0.457557i | \(0.151275\pi\) | |||||||
\(194\) | −2.94512e7 | − | 5.10110e7i | −0.289599 | − | 0.501600i | ||||
\(195\) | 9.41369e7 | − | 1.63050e8i | 0.909156 | − | 1.57470i | ||||
\(196\) | 2.55920e7 | + | 4.43267e7i | 0.242777 | + | 0.420503i | ||||
\(197\) | 5.35511e7 | 0.499042 | 0.249521 | − | 0.968369i | \(-0.419727\pi\) | ||||
0.249521 | + | 0.968369i | \(0.419727\pi\) | |||||||
\(198\) | 1.67811e7 | 0.153635 | ||||||||
\(199\) | 4.51927e7 | + | 7.82760e7i | 0.406520 | + | 0.704114i | 0.994497 | − | 0.104764i | \(-0.0334087\pi\) |
−0.587977 | + | 0.808878i | \(0.700075\pi\) | |||||||
\(200\) | −5.63906e7 | − | 9.76713e7i | −0.498427 | − | 0.863301i | ||||
\(201\) | 1.32581e8 | 1.15158 | ||||||||
\(202\) | −3.80807e6 | −0.0325068 | ||||||||
\(203\) | −1.56335e7 | − | 2.70780e7i | −0.131165 | − | 0.227185i | ||||
\(204\) | 4.24579e7 | − | 7.35393e7i | 0.350149 | − | 0.606476i | ||||
\(205\) | −1.35699e8 | − | 2.35037e8i | −1.10011 | − | 1.90545i | ||||
\(206\) | 2.57981e7 | − | 4.46836e7i | 0.205614 | − | 0.356134i | ||||
\(207\) | −1.62408e7 | + | 2.81299e7i | −0.127266 | + | 0.220431i | ||||
\(208\) | −3.44218e7 | −0.265224 | ||||||||
\(209\) | −2.75325e7 | + | 1.21102e8i | −0.208610 | + | 0.917569i | ||||
\(210\) | −2.76454e7 | −0.205995 | ||||||||
\(211\) | 7.82087e7 | − | 1.35461e8i | 0.573148 | − | 0.992721i | −0.423092 | − | 0.906087i | \(-0.639055\pi\) |
0.996240 | − | 0.0866345i | \(-0.0276112\pi\) | |||||||
\(212\) | 1.05539e7 | − | 1.82799e7i | 0.0760742 | − | 0.131764i | ||||
\(213\) | 3.36076e7 | + | 5.82101e7i | 0.238292 | + | 0.412734i | ||||
\(214\) | −2.30221e7 | + | 3.98755e7i | −0.160582 | + | 0.278137i | ||||
\(215\) | −9.42957e7 | − | 1.63325e8i | −0.647079 | − | 1.12077i | ||||
\(216\) | −5.65272e7 | −0.381653 | ||||||||
\(217\) | 2.04388e7 | 0.135783 | ||||||||
\(218\) | 3.75240e7 | + | 6.49934e7i | 0.245308 | + | 0.424885i | ||||
\(219\) | 3.84775e7 | + | 6.66449e7i | 0.247544 | + | 0.428759i | ||||
\(220\) | −1.45223e8 | −0.919512 | ||||||||
\(221\) | 2.71874e8 | 1.69432 | ||||||||
\(222\) | −1.53682e7 | − | 2.66185e7i | −0.0942731 | − | 0.163286i | ||||
\(223\) | −7.08858e7 | + | 1.22778e8i | −0.428047 | + | 0.741400i | −0.996700 | − | 0.0811782i | \(-0.974132\pi\) |
0.568652 | + | 0.822578i | \(0.307465\pi\) | |||||||
\(224\) | 2.52719e6 | + | 4.37722e6i | 0.0150235 | + | 0.0260214i | ||||
\(225\) | 5.56172e7 | − | 9.63319e7i | 0.325515 | − | 0.563808i | ||||
\(226\) | 3.84178e7 | − | 6.65416e7i | 0.221387 | − | 0.383454i | ||||
\(227\) | −1.90775e8 | −1.08251 | −0.541253 | − | 0.840860i | \(-0.682050\pi\) | ||||
−0.541253 | + | 0.840860i | \(0.682050\pi\) | |||||||
\(228\) | 1.73974e7 | − | 7.65226e7i | 0.0972105 | − | 0.427581i | ||||
\(229\) | −2.83164e8 | −1.55816 | −0.779082 | − | 0.626922i | \(-0.784315\pi\) | ||||
−0.779082 | + | 0.626922i | \(0.784315\pi\) | |||||||
\(230\) | 1.40548e8 | − | 2.43436e8i | 0.761689 | − | 1.31928i | ||||
\(231\) | −1.31389e7 | + | 2.27573e7i | −0.0701323 | + | 0.121473i | ||||
\(232\) | 5.18928e7 | + | 8.98810e7i | 0.272835 | + | 0.472563i | ||||
\(233\) | −7.81310e7 | + | 1.35327e8i | −0.404648 | + | 0.700872i | −0.994280 | − | 0.106800i | \(-0.965939\pi\) |
0.589632 | + | 0.807672i | \(0.299273\pi\) | |||||||
\(234\) | −1.69749e7 | − | 2.94014e7i | −0.0866067 | − | 0.150007i | ||||
\(235\) | 2.27495e7 | 0.114349 | ||||||||
\(236\) | −1.04345e8 | −0.516747 | ||||||||
\(237\) | −1.24999e7 | − | 2.16504e7i | −0.0609940 | − | 0.105645i | ||||
\(238\) | −1.99605e7 | − | 3.45726e7i | −0.0959736 | − | 0.166231i | ||||
\(239\) | −1.41308e7 | −0.0669536 | −0.0334768 | − | 0.999439i | \(-0.510658\pi\) | ||||
−0.0334768 | + | 0.999439i | \(0.510658\pi\) | |||||||
\(240\) | 9.17647e7 | 0.428486 | ||||||||
\(241\) | 1.69877e8 | + | 2.94236e8i | 0.781763 | + | 1.35405i | 0.930914 | + | 0.365238i | \(0.119012\pi\) |
−0.149151 | + | 0.988814i | \(0.547654\pi\) | |||||||
\(242\) | 8.92894e6 | − | 1.54654e7i | 0.0404992 | − | 0.0701466i | ||||
\(243\) | −5.05228e7 | − | 8.75081e7i | −0.225874 | − | 0.391225i | ||||
\(244\) | −833561. | + | 1.44377e6i | −0.00367344 | + | 0.00636259i | ||||
\(245\) | 2.18436e8 | − | 3.78343e8i | 0.948950 | − | 1.64363i | ||||
\(246\) | 1.63009e8 | 0.698134 | ||||||||
\(247\) | 2.40028e8 | − | 7.42621e7i | 1.01350 | − | 0.313565i | ||||
\(248\) | −6.78434e7 | −0.282440 | ||||||||
\(249\) | 5.73869e7 | − | 9.93971e7i | 0.235567 | − | 0.408015i | ||||
\(250\) | −3.10605e8 | + | 5.37984e8i | −1.25724 | + | 2.17761i | ||||
\(251\) | 1.57767e8 | + | 2.73260e8i | 0.629734 | + | 1.09073i | 0.987605 | + | 0.156960i | \(0.0501693\pi\) |
−0.357871 | + | 0.933771i | \(0.616497\pi\) | |||||||
\(252\) | −2.49253e6 | + | 4.31719e6i | −0.00981158 | + | 0.0169942i | ||||
\(253\) | −1.33595e8 | − | 2.31394e8i | −0.518645 | − | 0.898319i | ||||
\(254\) | 3.62597e8 | 1.38837 | ||||||||
\(255\) | −7.24784e8 | −2.73727 | ||||||||
\(256\) | −8.38861e6 | − | 1.45295e7i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −2.82821e6 | − | 4.89860e6i | −0.0103931 | − | 0.0180014i | 0.860782 | − | 0.508974i | \(-0.169975\pi\) |
−0.871175 | + | 0.490972i | \(0.836642\pi\) | |||||||
\(258\) | 1.13273e8 | 0.410638 | ||||||||
\(259\) | −1.44499e7 | −0.0516792 | ||||||||
\(260\) | 1.46901e8 | + | 2.54440e8i | 0.518343 | + | 0.897796i | ||||
\(261\) | −5.11812e7 | + | 8.86484e7i | −0.178184 | + | 0.308624i | ||||
\(262\) | −8.82223e7 | − | 1.52805e8i | −0.303057 | − | 0.524909i | ||||
\(263\) | 1.93484e7 | − | 3.35125e7i | 0.0655844 | − | 0.113596i | −0.831369 | − | 0.555721i | \(-0.812442\pi\) |
0.896953 | + | 0.442126i | \(0.145775\pi\) | |||||||
\(264\) | 4.36126e7 | − | 7.55393e7i | 0.145881 | − | 0.252673i | ||||
\(265\) | −1.80162e8 | −0.594706 | ||||||||
\(266\) | −2.70659e7 | − | 2.50707e7i | −0.0881732 | − | 0.0816735i | ||||
\(267\) | −1.37947e8 | −0.443531 | ||||||||
\(268\) | −1.03447e8 | + | 1.79175e8i | −0.328280 | + | 0.568597i | ||||
\(269\) | −1.10064e8 | + | 1.90637e8i | −0.344757 | + | 0.597137i | −0.985310 | − | 0.170778i | \(-0.945372\pi\) |
0.640553 | + | 0.767914i | \(0.278705\pi\) | |||||||
\(270\) | 2.41239e8 | + | 4.17838e8i | 0.745889 | + | 1.29192i | ||||
\(271\) | 2.74339e8 | − | 4.75170e8i | 0.837328 | − | 1.45030i | −0.0547924 | − | 0.998498i | \(-0.517450\pi\) |
0.892121 | − | 0.451797i | \(-0.149217\pi\) | |||||||
\(272\) | 6.62557e7 | + | 1.14758e8i | 0.199633 | + | 0.345774i | ||||
\(273\) | 5.31628e7 | 0.158139 | ||||||||
\(274\) | 1.52252e8 | 0.447133 | ||||||||
\(275\) | 4.57502e8 | + | 7.92417e8i | 1.32657 | + | 2.29768i | ||||
\(276\) | 8.44172e7 | + | 1.46215e8i | 0.241685 | + | 0.418610i | ||||
\(277\) | −1.26285e7 | −0.0357004 | −0.0178502 | − | 0.999841i | \(-0.505682\pi\) | ||||
−0.0178502 | + | 0.999841i | \(0.505682\pi\) | |||||||
\(278\) | −4.48674e8 | −1.25249 | ||||||||
\(279\) | −3.34565e7 | − | 5.79483e7i | −0.0922286 | − | 0.159745i | ||||
\(280\) | 2.15704e7 | − | 3.73610e7i | 0.0587225 | − | 0.101710i | ||||
\(281\) | 1.06204e8 | + | 1.83951e8i | 0.285542 | + | 0.494573i | 0.972741 | − | 0.231896i | \(-0.0744930\pi\) |
−0.687198 | + | 0.726470i | \(0.741160\pi\) | |||||||
\(282\) | −6.83200e6 | + | 1.18334e7i | −0.0181416 | + | 0.0314222i | ||||
\(283\) | 1.33394e8 | − | 2.31045e8i | 0.349851 | − | 0.605960i | −0.636372 | − | 0.771383i | \(-0.719566\pi\) |
0.986223 | + | 0.165423i | \(0.0528989\pi\) | |||||||
\(284\) | −1.04890e8 | −0.271718 | ||||||||
\(285\) | −6.39887e8 | + | 1.97974e8i | −1.63737 | + | 0.506584i | ||||
\(286\) | 2.79268e8 | 0.705894 | ||||||||
\(287\) | 3.83172e7 | − | 6.63673e7i | 0.0956769 | − | 0.165717i | ||||
\(288\) | 8.27357e6 | − | 1.43302e7i | 0.0204089 | − | 0.0353492i | ||||
\(289\) | −3.18137e8 | − | 5.51030e8i | −0.775304 | − | 1.34287i | ||||
\(290\) | 4.42922e8 | − | 7.67163e8i | 1.06643 | − | 1.84712i | ||||
\(291\) | −1.50983e8 | − | 2.61511e8i | −0.359173 | − | 0.622105i | ||||
\(292\) | −1.20088e8 | −0.282267 | ||||||||
\(293\) | −1.33760e8 | −0.310663 | −0.155331 | − | 0.987862i | \(-0.549645\pi\) | ||||
−0.155331 | + | 0.987862i | \(0.549645\pi\) | |||||||
\(294\) | 1.31199e8 | + | 2.27243e8i | 0.301103 | + | 0.521525i | ||||
\(295\) | 4.45307e8 | + | 7.71295e8i | 1.00991 | + | 1.74922i | ||||
\(296\) | 4.79642e7 | 0.107497 | ||||||||
\(297\) | 4.58611e8 | 1.01577 | ||||||||
\(298\) | −2.35550e8 | − | 4.07985e8i | −0.515617 | − | 0.893074i | ||||
\(299\) | −2.70277e8 | + | 4.68134e8i | −0.584736 | + | 1.01279i | ||||
\(300\) | −2.89089e8 | − | 5.00718e8i | −0.618170 | − | 1.07070i | ||||
\(301\) | 2.66262e7 | − | 4.61180e7i | 0.0562765 | − | 0.0974738i | ||||
\(302\) | −3.10506e7 | + | 5.37813e7i | −0.0648704 | + | 0.112359i | ||||
\(303\) | −1.95223e7 | −0.0403163 | ||||||||
\(304\) | 8.98409e7 | + | 8.32183e7i | 0.183407 | + | 0.169887i | ||||
\(305\) | 1.42294e7 | 0.0287169 | ||||||||
\(306\) | −6.53471e7 | + | 1.13184e8i | −0.130377 | + | 0.225820i | ||||
\(307\) | −3.21992e8 | + | 5.57706e8i | −0.635126 | + | 1.10007i | 0.351362 | + | 0.936240i | \(0.385719\pi\) |
−0.986488 | + | 0.163831i | \(0.947615\pi\) | |||||||
\(308\) | −2.05033e7 | − | 3.55128e7i | −0.0399850 | − | 0.0692560i | ||||
\(309\) | 1.32255e8 | − | 2.29073e8i | 0.255011 | − | 0.441692i | ||||
\(310\) | 2.89532e8 | + | 5.01485e8i | 0.551990 | + | 0.956075i | ||||
\(311\) | −6.34581e8 | −1.19626 | −0.598130 | − | 0.801399i | \(-0.704089\pi\) | ||||
−0.598130 | + | 0.801399i | \(0.704089\pi\) | |||||||
\(312\) | −1.76465e8 | −0.328942 | ||||||||
\(313\) | 1.79090e8 | + | 3.10194e8i | 0.330116 | + | 0.571778i | 0.982534 | − | 0.186081i | \(-0.0595787\pi\) |
−0.652418 | + | 0.757859i | \(0.726245\pi\) | |||||||
\(314\) | −3.57244e8 | − | 6.18765e8i | −0.651195 | − | 1.12790i | ||||
\(315\) | 4.25491e7 | 0.0767015 | ||||||||
\(316\) | 3.90122e7 | 0.0695497 | ||||||||
\(317\) | −2.59766e8 | − | 4.49928e8i | −0.458011 | − | 0.793297i | 0.540845 | − | 0.841122i | \(-0.318104\pi\) |
−0.998856 | + | 0.0478246i | \(0.984771\pi\) | |||||||
\(318\) | 5.41052e7 | − | 9.37129e7i | 0.0943504 | − | 0.163420i | ||||
\(319\) | −4.21012e8 | − | 7.29213e8i | −0.726150 | − | 1.25773i | ||||
\(320\) | −7.15995e7 | + | 1.24014e8i | −0.122148 | + | 0.211566i | ||||
\(321\) | −1.18024e8 | + | 2.04424e8i | −0.199161 | + | 0.344957i | ||||
\(322\) | 7.93730e7 | 0.132488 | ||||||||
\(323\) | −7.09590e8 | − | 6.57283e8i | −1.17165 | − | 1.08528i | ||||
\(324\) | −2.19109e8 | −0.357892 | ||||||||
\(325\) | 9.25573e8 | − | 1.60314e9i | 1.49561 | − | 2.59048i | ||||
\(326\) | −1.39464e8 | + | 2.41559e8i | −0.222947 | + | 0.386155i | ||||
\(327\) | 1.92369e8 | + | 3.33192e8i | 0.304241 | + | 0.526960i | ||||
\(328\) | −1.27188e8 | + | 2.20296e8i | −0.199016 | + | 0.344705i | ||||
\(329\) | 3.21188e6 | + | 5.56314e6i | 0.00497249 | + | 0.00861261i | ||||
\(330\) | −7.44496e8 | −1.14042 | ||||||||
\(331\) | 9.98621e8 | 1.51357 | 0.756785 | − | 0.653663i | \(-0.226769\pi\) | ||||
0.756785 | + | 0.653663i | \(0.226769\pi\) | |||||||
\(332\) | 8.95524e7 | + | 1.55109e8i | 0.134306 | + | 0.232624i | ||||
\(333\) | 2.36532e7 | + | 4.09686e7i | 0.0351023 | + | 0.0607990i | ||||
\(334\) | 7.51625e8 | 1.10379 | ||||||||
\(335\) | 1.76590e9 | 2.56631 | ||||||||
\(336\) | 1.29558e7 | + | 2.24401e7i | 0.0186327 | + | 0.0322728i | ||||
\(337\) | −1.79876e8 | + | 3.11555e8i | −0.256017 | + | 0.443435i | −0.965171 | − | 0.261619i | \(-0.915744\pi\) |
0.709154 | + | 0.705054i | \(0.249077\pi\) | |||||||
\(338\) | −3.14992e7 | − | 5.45582e7i | −0.0443702 | − | 0.0768514i | ||||
\(339\) | 1.96951e8 | − | 3.41129e8i | 0.274574 | − | 0.475576i | ||||
\(340\) | 5.65514e8 | − | 9.79498e8i | 0.780309 | − | 1.35154i | ||||
\(341\) | 5.50420e8 | 0.751716 | ||||||||
\(342\) | −2.67764e7 | + | 1.17776e8i | −0.0361960 | + | 0.159208i | ||||
\(343\) | 2.50389e8 | 0.335031 | ||||||||
\(344\) | −8.83816e7 | + | 1.53081e8i | −0.117060 | + | 0.202753i | ||||
\(345\) | 7.20528e8 | − | 1.24799e9i | 0.944678 | − | 1.63623i | ||||
\(346\) | −1.85973e8 | − | 3.22114e8i | −0.241370 | − | 0.418064i | ||||
\(347\) | −2.63938e8 | + | 4.57153e8i | −0.339116 | + | 0.587366i | −0.984267 | − | 0.176689i | \(-0.943461\pi\) |
0.645151 | + | 0.764055i | \(0.276795\pi\) | |||||||
\(348\) | 2.66031e8 | + | 4.60780e8i | 0.338381 | + | 0.586093i | ||||
\(349\) | −9.05796e8 | −1.14062 | −0.570311 | − | 0.821429i | \(-0.693177\pi\) | ||||
−0.570311 | + | 0.821429i | \(0.693177\pi\) | |||||||
\(350\) | −2.71816e8 | −0.338872 | ||||||||
\(351\) | −4.63908e8 | − | 8.03511e8i | −0.572607 | − | 0.991784i | ||||
\(352\) | 6.80576e7 | + | 1.17879e8i | 0.0831720 | + | 0.144058i | ||||
\(353\) | 5.07191e8 | 0.613705 | 0.306853 | − | 0.951757i | \(-0.400724\pi\) | ||||
0.306853 | + | 0.951757i | \(0.400724\pi\) | |||||||
\(354\) | −5.34929e8 | −0.640891 | ||||||||
\(355\) | 4.47633e8 | + | 7.75323e8i | 0.531035 | + | 0.919779i | ||||
\(356\) | 1.07634e8 | − | 1.86427e8i | 0.126437 | − | 0.218995i | ||||
\(357\) | −1.02329e8 | − | 1.77238e8i | −0.119030 | − | 0.206167i | ||||
\(358\) | −4.29274e8 | + | 7.43524e8i | −0.494475 | + | 0.856455i | ||||
\(359\) | −8.67693e8 | + | 1.50289e9i | −0.989773 | + | 1.71434i | −0.371347 | + | 0.928494i | \(0.621104\pi\) |
−0.618426 | + | 0.785843i | \(0.712229\pi\) | |||||||
\(360\) | −1.41235e8 | −0.159545 | ||||||||
\(361\) | −8.06008e8 | − | 3.86468e8i | −0.901705 | − | 0.432353i | ||||
\(362\) | −1.06776e8 | −0.118303 | ||||||||
\(363\) | 4.57747e7 | − | 7.92841e7i | 0.0502288 | − | 0.0869988i | ||||
\(364\) | −4.14803e7 | + | 7.18460e7i | −0.0450803 | + | 0.0780814i | ||||
\(365\) | 5.12496e8 | + | 8.87670e8i | 0.551653 | + | 0.955490i | ||||
\(366\) | −4.27330e6 | + | 7.40157e6i | −0.00455596 | + | 0.00789115i | ||||
\(367\) | 5.98701e8 | + | 1.03698e9i | 0.632235 | + | 1.09506i | 0.987094 | + | 0.160144i | \(0.0511957\pi\) |
−0.354858 | + | 0.934920i | \(0.615471\pi\) | |||||||
\(368\) | −2.63466e8 | −0.275586 | ||||||||
\(369\) | −2.50887e8 | −0.259948 | ||||||||
\(370\) | −2.04695e8 | − | 3.54542e8i | −0.210088 | − | 0.363883i | ||||
\(371\) | −2.54361e7 | − | 4.40567e7i | −0.0258608 | − | 0.0447922i | ||||
\(372\) | −3.47803e8 | −0.350294 | ||||||||
\(373\) | −1.27457e9 | −1.27170 | −0.635849 | − | 0.771813i | \(-0.719350\pi\) | ||||
−0.635849 | + | 0.771813i | \(0.719350\pi\) | |||||||
\(374\) | −5.37539e8 | − | 9.31045e8i | −0.531324 | − | 0.920280i | ||||
\(375\) | −1.59234e9 | + | 2.75801e9i | −1.55928 | + | 2.70076i | ||||
\(376\) | −1.06613e7 | − | 1.84660e7i | −0.0103432 | − | 0.0179149i | ||||
\(377\) | −8.51748e8 | + | 1.47527e9i | −0.818685 | + | 1.41800i | ||||
\(378\) | −6.81185e7 | + | 1.17985e8i | −0.0648700 | + | 0.112358i | ||||
\(379\) | −7.81768e8 | −0.737634 | −0.368817 | − | 0.929502i | \(-0.620237\pi\) | ||||
−0.368817 | + | 0.929502i | \(0.620237\pi\) | |||||||
\(380\) | 2.31723e8 | − | 1.01923e9i | 0.216634 | − | 0.952865i | ||||
\(381\) | 1.85887e9 | 1.72192 | ||||||||
\(382\) | 2.62135e8 | − | 4.54031e8i | 0.240604 | − | 0.416739i | ||||
\(383\) | 2.04803e8 | − | 3.54730e8i | 0.186269 | − | 0.322628i | −0.757734 | − | 0.652563i | \(-0.773694\pi\) |
0.944004 | + | 0.329935i | \(0.107027\pi\) | |||||||
\(384\) | −4.30047e7 | − | 7.44863e7i | −0.0387576 | − | 0.0671301i | ||||
\(385\) | −1.75003e8 | + | 3.03113e8i | −0.156290 | + | 0.270703i | ||||
\(386\) | 3.86185e7 | + | 6.68892e7i | 0.0341775 | + | 0.0591971i | ||||
\(387\) | −1.74339e8 | −0.152900 | ||||||||
\(388\) | 4.71219e8 | 0.409555 | ||||||||
\(389\) | 8.21227e8 | + | 1.42241e9i | 0.707359 | + | 1.22518i | 0.965834 | + | 0.259163i | \(0.0834468\pi\) |
−0.258475 | + | 0.966018i | \(0.583220\pi\) | |||||||
\(390\) | 7.53095e8 | + | 1.30440e9i | 0.642871 | + | 1.11348i | ||||
\(391\) | 2.08093e9 | 1.76051 | ||||||||
\(392\) | −4.09472e8 | −0.343339 | ||||||||
\(393\) | −4.52277e8 | − | 7.83366e8i | −0.375863 | − | 0.651015i | ||||
\(394\) | −2.14205e8 | + | 3.71013e8i | −0.176438 | + | 0.305599i | ||||
\(395\) | −1.66491e8 | − | 2.88370e8i | −0.135925 | − | 0.235430i | ||||
\(396\) | −6.71243e7 | + | 1.16263e8i | −0.0543183 | + | 0.0940821i | ||||
\(397\) | 8.91669e8 | − | 1.54442e9i | 0.715215 | − | 1.23879i | −0.247661 | − | 0.968847i | \(-0.579662\pi\) |
0.962877 | − | 0.269942i | \(-0.0870046\pi\) | |||||||
\(398\) | −7.23083e8 | −0.574907 | ||||||||
\(399\) | −1.38755e8 | − | 1.28526e8i | −0.109356 | − | 0.101295i | ||||
\(400\) | 9.02249e8 | 0.704882 | ||||||||
\(401\) | 8.19592e8 | − | 1.41958e9i | 0.634735 | − | 1.09939i | −0.351836 | − | 0.936062i | \(-0.614443\pi\) |
0.986571 | − | 0.163332i | \(-0.0522241\pi\) | |||||||
\(402\) | −5.30324e8 | + | 9.18549e8i | −0.407146 | + | 0.705198i | ||||
\(403\) | −5.56777e8 | − | 9.64366e8i | −0.423754 | − | 0.733963i | ||||
\(404\) | 1.52323e7 | − | 2.63831e7i | 0.0114929 | − | 0.0199063i | ||||
\(405\) | 9.35083e8 | + | 1.61961e9i | 0.699451 | + | 1.21149i | ||||
\(406\) | 2.50135e8 | 0.185496 | ||||||||
\(407\) | −3.89138e8 | −0.286104 | ||||||||
\(408\) | 3.39663e8 | + | 5.88314e8i | 0.247593 | + | 0.428844i | ||||
\(409\) | −4.30118e7 | − | 7.44986e7i | −0.0310854 | − | 0.0538414i | 0.850064 | − | 0.526679i | \(-0.176563\pi\) |
−0.881150 | + | 0.472838i | \(0.843230\pi\) | |||||||
\(410\) | 2.17118e9 | 1.55579 | ||||||||
\(411\) | 7.80530e8 | 0.554553 | ||||||||
\(412\) | 2.06385e8 | + | 3.57469e8i | 0.145391 | + | 0.251825i | ||||
\(413\) | −1.25741e8 | + | 2.17790e8i | −0.0878320 | + | 0.152129i | ||||
\(414\) | −1.29927e8 | − | 2.25039e8i | −0.0899905 | − | 0.155868i | ||||
\(415\) | 7.64359e8 | − | 1.32391e9i | 0.524963 | − | 0.909263i | ||||
\(416\) | 1.37687e8 | − | 2.38481e8i | 0.0937707 | − | 0.162416i | ||||
\(417\) | −2.30015e9 | −1.55339 | ||||||||
\(418\) | −7.28888e8 | − | 6.75158e8i | −0.488139 | − | 0.452156i | ||||
\(419\) | −2.62562e8 | −0.174374 | −0.0871871 | − | 0.996192i | \(-0.527788\pi\) | ||||
−0.0871871 | + | 0.996192i | \(0.527788\pi\) | |||||||
\(420\) | 1.10582e8 | − | 1.91533e8i | 0.0728301 | − | 0.126145i | ||||
\(421\) | 9.44601e8 | − | 1.63610e9i | 0.616966 | − | 1.06862i | −0.373071 | − | 0.927803i | \(-0.621695\pi\) |
0.990036 | − | 0.140813i | \(-0.0449716\pi\) | |||||||
\(422\) | 6.25670e8 | + | 1.08369e9i | 0.405277 | + | 0.701960i | ||||
\(423\) | 1.05151e7 | − | 1.82127e7i | 0.00675497 | − | 0.0117000i | ||||
\(424\) | 8.44312e7 | + | 1.46239e8i | 0.0537926 | + | 0.0931715i | ||||
\(425\) | −7.12623e9 | −4.50296 | ||||||||
\(426\) | −5.37722e8 | −0.336996 | ||||||||
\(427\) | 2.00898e6 | + | 3.47965e6i | 0.00124876 | + | 0.00216291i | ||||
\(428\) | −1.84177e8 | − | 3.19004e8i | −0.113549 | − | 0.196672i | ||||
\(429\) | 1.43168e9 | 0.875479 | ||||||||
\(430\) | 1.50873e9 | 0.915108 | ||||||||
\(431\) | −1.21752e8 | − | 2.10881e8i | −0.0732499 | − | 0.126873i | 0.827074 | − | 0.562093i | \(-0.190004\pi\) |
−0.900324 | + | 0.435220i | \(0.856670\pi\) | |||||||
\(432\) | 2.26109e8 | − | 3.91632e8i | 0.134935 | − | 0.233714i | ||||
\(433\) | −1.51328e6 | − | 2.62109e6i | −0.000895804 | − | 0.00155158i | 0.865577 | − | 0.500776i | \(-0.166952\pi\) |
−0.866473 | + | 0.499224i | \(0.833618\pi\) | |||||||
\(434\) | −8.17552e7 | + | 1.41604e8i | −0.0480066 | + | 0.0831499i | ||||
\(435\) | 2.27066e9 | − | 3.93291e9i | 1.32264 | − | 2.29087i | ||||
\(436\) | −6.00383e8 | −0.346917 | ||||||||
\(437\) | 1.83718e9 | − | 5.68405e8i | 1.05309 | − | 0.325816i | ||||
\(438\) | −6.15640e8 | −0.350080 | ||||||||
\(439\) | −7.63105e8 | + | 1.32174e9i | −0.430485 | + | 0.745623i | −0.996915 | − | 0.0784875i | \(-0.974991\pi\) |
0.566430 | + | 0.824110i | \(0.308324\pi\) | |||||||
\(440\) | 5.80894e8 | − | 1.00614e9i | 0.325096 | − | 0.563083i | ||||
\(441\) | −2.01929e8 | − | 3.49750e8i | −0.112115 | − | 0.194188i | ||||
\(442\) | −1.08749e9 | + | 1.88360e9i | −0.599031 | + | 1.03755i | ||||
\(443\) | 9.06404e8 | + | 1.56994e9i | 0.495346 | + | 0.857964i | 0.999986 | − | 0.00536571i | \(-0.00170797\pi\) |
−0.504640 | + | 0.863330i | \(0.668375\pi\) | |||||||
\(444\) | 2.45891e8 | 0.133322 | ||||||||
\(445\) | −1.83737e9 | −0.988411 | ||||||||
\(446\) | −5.67086e8 | − | 9.82222e8i | −0.302675 | − | 0.524249i | ||||
\(447\) | −1.20756e9 | − | 2.09156e9i | −0.639489 | − | 1.10763i | ||||
\(448\) | −4.04350e7 | −0.0212464 | ||||||||
\(449\) | −9.74366e8 | −0.507996 | −0.253998 | − | 0.967205i | \(-0.581746\pi\) | ||||
−0.253998 | + | 0.967205i | \(0.581746\pi\) | |||||||
\(450\) | 4.44938e8 | + | 7.70655e8i | 0.230174 | + | 0.398673i | ||||
\(451\) | 1.03189e9 | − | 1.78728e9i | 0.529681 | − | 0.917435i | ||||
\(452\) | 3.07342e8 | + | 5.32332e8i | 0.156545 | + | 0.271143i | ||||
\(453\) | −1.59183e8 | + | 2.75713e8i | −0.0804549 | + | 0.139352i | ||||
\(454\) | 7.63099e8 | − | 1.32173e9i | 0.382724 | − | 0.662897i | ||||
\(455\) | 7.08095e8 | 0.352413 | ||||||||
\(456\) | 4.60575e8 | + | 4.26623e8i | 0.227469 | + | 0.210702i | ||||
\(457\) | 1.03143e9 | 0.505514 | 0.252757 | − | 0.967530i | \(-0.418663\pi\) | ||||
0.252757 | + | 0.967530i | \(0.418663\pi\) | |||||||
\(458\) | 1.13265e9 | − | 1.96182e9i | 0.550894 | − | 0.954177i | ||||
\(459\) | −1.78587e9 | + | 3.09322e9i | −0.861998 | + | 1.49302i | ||||
\(460\) | 1.12438e9 | + | 1.94749e9i | 0.538595 | + | 0.932874i | ||||
\(461\) | 6.79120e8 | − | 1.17627e9i | 0.322844 | − | 0.559183i | −0.658229 | − | 0.752817i | \(-0.728694\pi\) |
0.981074 | + | 0.193635i | \(0.0620277\pi\) | |||||||
\(462\) | −1.05112e8 | − | 1.82058e8i | −0.0495911 | − | 0.0858942i | ||||
\(463\) | 2.58298e9 | 1.20945 | 0.604725 | − | 0.796435i | \(-0.293283\pi\) | ||||
0.604725 | + | 0.796435i | \(0.293283\pi\) | |||||||
\(464\) | −8.30285e8 | −0.385846 | ||||||||
\(465\) | 1.48430e9 | + | 2.57089e9i | 0.684601 | + | 1.18576i | ||||
\(466\) | −6.25048e8 | − | 1.08262e9i | −0.286130 | − | 0.495591i | ||||
\(467\) | −3.30929e9 | −1.50358 | −0.751788 | − | 0.659405i | \(-0.770808\pi\) | ||||
−0.751788 | + | 0.659405i | \(0.770808\pi\) | |||||||
\(468\) | 2.71598e8 | 0.122480 | ||||||||
\(469\) | 2.49318e8 | + | 4.31832e8i | 0.111596 | + | 0.193290i | ||||
\(470\) | −9.09980e7 | + | 1.57613e8i | −0.0404286 | + | 0.0700245i | ||||
\(471\) | −1.83143e9 | − | 3.17213e9i | −0.807640 | − | 1.39887i | ||||
\(472\) | 4.17378e8 | − | 7.22921e8i | 0.182698 | − | 0.316442i | ||||
\(473\) | 7.17049e8 | − | 1.24196e9i | 0.311555 | − | 0.539629i | ||||
\(474\) | 1.99998e8 | 0.0862585 | ||||||||
\(475\) | −6.29150e9 | + | 1.94652e9i | −2.69356 | + | 0.833358i | ||||
\(476\) | 3.19368e8 | 0.135727 | ||||||||
\(477\) | −8.32733e7 | + | 1.44234e8i | −0.0351311 | + | 0.0608488i | ||||
\(478\) | 5.65232e7 | − | 9.79010e7i | 0.0236717 | − | 0.0410005i | ||||
\(479\) | −4.67315e8 | − | 8.09413e8i | −0.194283 | − | 0.336508i | 0.752382 | − | 0.658727i | \(-0.228905\pi\) |
−0.946665 | + | 0.322219i | \(0.895571\pi\) | |||||||
\(480\) | −3.67059e8 | + | 6.35764e8i | −0.151493 | + | 0.262393i | ||||
\(481\) | 3.93633e8 | + | 6.81792e8i | 0.161281 | + | 0.279347i | ||||
\(482\) | −2.71803e9 | −1.10558 | ||||||||
\(483\) | 4.06910e8 | 0.164317 | ||||||||
\(484\) | 7.14315e7 | + | 1.23723e8i | 0.0286372 | + | 0.0496011i | ||||
\(485\) | −2.01100e9 | − | 3.48316e9i | −0.800418 | − | 1.38636i | ||||
\(486\) | 8.08365e8 | 0.319434 | ||||||||
\(487\) | 1.86460e9 | 0.731532 | 0.365766 | − | 0.930707i | \(-0.380807\pi\) | ||||
0.365766 | + | 0.930707i | \(0.380807\pi\) | |||||||
\(488\) | −6.66849e6 | − | 1.15502e7i | −0.00259752 | − | 0.00449903i | ||||
\(489\) | −7.14971e8 | + | 1.23837e9i | −0.276508 | + | 0.478926i | ||||
\(490\) | 1.74749e9 | + | 3.02674e9i | 0.671009 | + | 1.16222i | ||||
\(491\) | −2.50220e9 | + | 4.33394e9i | −0.953974 | + | 1.65233i | −0.217276 | + | 0.976110i | \(0.569717\pi\) |
−0.736698 | + | 0.676222i | \(0.763616\pi\) | |||||||
\(492\) | −6.52036e8 | + | 1.12936e9i | −0.246827 | + | 0.427518i | ||||
\(493\) | 6.55783e9 | 2.46488 | ||||||||
\(494\) | −4.45608e8 | + | 1.96001e9i | −0.166306 | + | 0.731499i | ||||
\(495\) | 1.14585e9 | 0.424631 | ||||||||
\(496\) | 2.71373e8 | − | 4.70033e8i | 0.0998577 | − | 0.172959i | ||||
\(497\) | −1.26398e8 | + | 2.18928e8i | −0.0461841 | + | 0.0799932i | ||||
\(498\) | 4.59095e8 | + | 7.95177e8i | 0.166571 | + | 0.288510i | ||||
\(499\) | 2.13293e9 | − | 3.69435e9i | 0.768468 | − | 1.33103i | −0.169926 | − | 0.985457i | \(-0.554353\pi\) |
0.938394 | − | 0.345568i | \(-0.112314\pi\) | |||||||
\(500\) | −2.48484e9 | − | 4.30387e9i | −0.889004 | − | 1.53980i | ||||
\(501\) | 3.85325e9 | 1.36897 | ||||||||
\(502\) | −2.52427e9 | −0.890578 | ||||||||
\(503\) | 1.88365e9 | + | 3.26257e9i | 0.659951 | + | 1.14307i | 0.980628 | + | 0.195880i | \(0.0627564\pi\) |
−0.320676 | + | 0.947189i | \(0.603910\pi\) | |||||||
\(504\) | −1.99403e7 | − | 3.45375e7i | −0.00693783 | − | 0.0120167i | ||||
\(505\) | −2.60025e8 | −0.0898451 | ||||||||
\(506\) | 2.13753e9 | 0.733474 | ||||||||
\(507\) | −1.61482e8 | − | 2.79696e8i | −0.0550298 | − | 0.0953143i | ||||
\(508\) | −1.45039e9 | + | 2.51215e9i | −0.490864 | + | 0.850201i | ||||
\(509\) | 1.79550e9 | + | 3.10990e9i | 0.603495 | + | 1.04528i | 0.992287 | + | 0.123959i | \(0.0395591\pi\) |
−0.388792 | + | 0.921325i | \(0.627108\pi\) | |||||||
\(510\) | 2.89914e9 | − | 5.02145e9i | 0.967772 | − | 1.67623i | ||||
\(511\) | −1.44713e8 | + | 2.50651e8i | −0.0479773 | + | 0.0830991i | ||||
\(512\) | 1.34218e8 | 0.0441942 | ||||||||
\(513\) | −7.31774e8 | + | 3.21871e9i | −0.239313 | + | 1.05262i | ||||
\(514\) | 4.52513e7 | 0.0146981 | ||||||||
\(515\) | 1.76156e9 | − | 3.05111e9i | 0.568293 | − | 0.984313i | ||||
\(516\) | −4.53093e8 | + | 7.84781e8i | −0.145182 | + | 0.251463i | ||||
\(517\) | 8.64965e7 | + | 1.49816e8i | 0.0275284 | + | 0.0476807i | ||||
\(518\) | 5.77997e7 | − | 1.00112e8i | 0.0182714 | − | 0.0316469i | ||||
\(519\) | −9.53399e8 | − | 1.65134e9i | −0.299357 | − | 0.518501i | ||||
\(520\) | −2.35041e9 | −0.733048 | ||||||||
\(521\) | 1.62650e8 | 0.0503874 | 0.0251937 | − | 0.999683i | \(-0.491980\pi\) | ||||
0.0251937 | + | 0.999683i | \(0.491980\pi\) | |||||||
\(522\) | −4.09449e8 | − | 7.09187e8i | −0.125995 | − | 0.218230i | ||||
\(523\) | 1.55375e9 | + | 2.69118e9i | 0.474926 | + | 0.822596i | 0.999588 | − | 0.0287151i | \(-0.00914155\pi\) |
−0.524662 | + | 0.851311i | \(0.675808\pi\) | |||||||
\(524\) | 1.41156e9 | 0.428587 | ||||||||
\(525\) | −1.39348e9 | −0.420284 | ||||||||
\(526\) | 1.54788e8 | + | 2.68100e8i | 0.0463752 | + | 0.0803242i | ||||
\(527\) | −2.14339e9 | + | 3.71245e9i | −0.637916 | + | 1.10490i | ||||
\(528\) | 3.48901e8 | + | 6.04315e8i | 0.103153 | + | 0.178667i | ||||
\(529\) | −3.66299e8 | + | 6.34449e8i | −0.107582 | + | 0.186338i | ||||
\(530\) | 7.20648e8 | − | 1.24820e9i | 0.210260 | − | 0.364182i | ||||
\(531\) | 8.23309e8 | 0.238634 | ||||||||
\(532\) | 2.81959e8 | − | 8.72350e7i | 0.0811885 | − | 0.0251189i | ||||
\(533\) | −4.17522e9 | −1.19436 | ||||||||
\(534\) | 5.51790e8 | − | 9.55728e8i | 0.156812 | − | 0.271606i | ||||
\(535\) | −1.57201e9 | + | 2.72280e9i | −0.443831 | + | 0.768737i | ||||
\(536\) | −8.27572e8 | − | 1.43340e9i | −0.232129 | − | 0.402059i | ||||
\(537\) | −2.20070e9 | + | 3.81172e9i | −0.613268 | + | 1.06221i | ||||
\(538\) | −8.80514e8 | − | 1.52509e9i | −0.243780 | − | 0.422239i | ||||
\(539\) | 3.32209e9 | 0.913799 | ||||||||
\(540\) | −3.85982e9 | −1.05485 | ||||||||
\(541\) | 2.41634e9 | + | 4.18523e9i | 0.656098 | + | 1.13639i | 0.981617 | + | 0.190859i | \(0.0611274\pi\) |
−0.325520 | + | 0.945535i | \(0.605539\pi\) | |||||||
\(542\) | 2.19472e9 | + | 3.80136e9i | 0.592080 | + | 1.02551i | ||||
\(543\) | −5.47394e8 | −0.146724 | ||||||||
\(544\) | −1.06009e9 | −0.282323 | ||||||||
\(545\) | 2.56223e9 | + | 4.43792e9i | 0.678002 | + | 1.17433i | ||||
\(546\) | −2.12651e8 | + | 3.68323e8i | −0.0559105 | + | 0.0968398i | ||||
\(547\) | −3.80472e9 | − | 6.58996e9i | −0.993955 | − | 1.72158i | −0.592055 | − | 0.805897i | \(-0.701683\pi\) |
−0.401900 | − | 0.915684i | \(-0.631650\pi\) | |||||||
\(548\) | −6.09009e8 | + | 1.05484e9i | −0.158085 | + | 0.273812i | ||||
\(549\) | 6.57704e6 | − | 1.13918e7i | 0.00169640 | − | 0.00293824i | ||||
\(550\) | −7.32004e9 | −1.87605 | ||||||||
\(551\) | 5.78968e9 | − | 1.79127e9i | 1.47443 | − | 0.456173i | ||||
\(552\) | −1.35067e9 | −0.341794 | ||||||||
\(553\) | 4.70119e7 | − | 8.14271e7i | 0.0118214 | − | 0.0204753i | ||||
\(554\) | 5.05140e7 | − | 8.74929e7i | 0.0126220 | − | 0.0218619i | ||||
\(555\) | −1.04938e9 | − | 1.81758e9i | −0.260560 | − | 0.451303i | ||||
\(556\) | 1.79470e9 | − | 3.10850e9i | 0.442822 | − | 0.766990i | ||||
\(557\) | 1.66736e9 | + | 2.88795e9i | 0.408824 | + | 0.708104i | 0.994758 | − | 0.102254i | \(-0.0326056\pi\) |
−0.585934 | + | 0.810359i | \(0.699272\pi\) | |||||||
\(558\) | 5.35304e8 | 0.130431 | ||||||||
\(559\) | −2.90132e9 | −0.702514 | ||||||||
\(560\) | 1.72563e8 | + | 2.98888e8i | 0.0415231 | + | 0.0719201i | ||||
\(561\) | −2.75572e9 | − | 4.77305e9i | −0.658970 | − | 1.14137i | ||||
\(562\) | −1.69927e9 | −0.403818 | ||||||||
\(563\) | −2.13639e9 | −0.504546 | −0.252273 | − | 0.967656i | \(-0.581178\pi\) | ||||
−0.252273 | + | 0.967656i | \(0.581178\pi\) | |||||||
\(564\) | −5.46560e7 | − | 9.46669e7i | −0.0128281 | − | 0.0222188i | ||||
\(565\) | 2.62327e9 | − | 4.54363e9i | 0.611889 | − | 1.05982i | ||||
\(566\) | 1.06715e9 | + | 1.84836e9i | 0.247382 | + | 0.428478i | ||||
\(567\) | −2.64039e8 | + | 4.57329e8i | −0.0608313 | + | 0.105363i | ||||
\(568\) | 4.19558e8 | − | 7.26696e8i | 0.0960667 | − | 0.166392i | ||||
\(569\) | 3.31529e9 | 0.754448 | 0.377224 | − | 0.926122i | \(-0.376879\pi\) | ||||
0.377224 | + | 0.926122i | \(0.376879\pi\) | |||||||
\(570\) | 1.18794e9 | − | 5.22516e9i | 0.268679 | − | 1.18178i | ||||
\(571\) | 1.96490e9 | 0.441686 | 0.220843 | − | 0.975309i | \(-0.429119\pi\) | ||||
0.220843 | + | 0.975309i | \(0.429119\pi\) | |||||||
\(572\) | −1.11707e9 | + | 1.93482e9i | −0.249571 | + | 0.432270i | ||||
\(573\) | 1.34385e9 | − | 2.32762e9i | 0.298407 | − | 0.516857i | ||||
\(574\) | 3.06537e8 | + | 5.30938e8i | 0.0676538 | + | 0.117180i | ||||
\(575\) | 7.08438e9 | − | 1.22705e10i | 1.55405 | − | 2.69169i | ||||
\(576\) | 6.61886e7 | + | 1.14642e8i | 0.0144313 | + | 0.0249957i | ||||
\(577\) | −7.08114e9 | −1.53458 | −0.767288 | − | 0.641303i | \(-0.778394\pi\) | ||||
−0.767288 | + | 0.641303i | \(0.778394\pi\) | |||||||
\(578\) | 5.09020e9 | 1.09645 | ||||||||
\(579\) | 1.97980e8 | + | 3.42911e8i | 0.0423883 | + | 0.0734187i | ||||
\(580\) | 3.54338e9 | + | 6.13731e9i | 0.754083 | + | 1.30611i | ||||
\(581\) | 4.31663e8 | 0.0913122 | ||||||||
\(582\) | 2.41573e9 | 0.507947 | ||||||||
\(583\) | −6.84999e8 | − | 1.18645e9i | −0.143169 | − | 0.247976i | ||||
\(584\) | 4.80353e8 | − | 8.31996e8i | 0.0997966 | − | 0.172853i | ||||
\(585\) | −1.15909e9 | − | 2.00760e9i | −0.239371 | − | 0.414603i | ||||
\(586\) | 5.35040e8 | − | 9.26716e8i | 0.109836 | − | 0.190241i | ||||
\(587\) | 2.63789e9 | − | 4.56896e9i | 0.538299 | − | 0.932361i | −0.460697 | − | 0.887557i | \(-0.652401\pi\) |
0.998996 | − | 0.0448032i | \(-0.0142661\pi\) | |||||||
\(588\) | −2.09918e9 | −0.425824 | ||||||||
\(589\) | −8.78267e8 | + | 3.86306e9i | −0.177102 | + | 0.778983i | ||||
\(590\) | −7.12492e9 | −1.42823 | ||||||||
\(591\) | −1.09813e9 | + | 1.90202e9i | −0.218826 | + | 0.379017i | ||||
\(592\) | −1.91857e8 | + | 3.32306e8i | −0.0380059 | + | 0.0658282i | ||||
\(593\) | 5.72443e8 | + | 9.91501e8i | 0.112730 | + | 0.195255i | 0.916870 | − | 0.399185i | \(-0.130707\pi\) |
−0.804140 | + | 0.594440i | \(0.797374\pi\) | |||||||
\(594\) | −1.83444e9 | + | 3.17735e9i | −0.359130 | + | 0.622031i | ||||
\(595\) | −1.36295e9 | − | 2.36070e9i | −0.265260 | − | 0.459444i | ||||
\(596\) | 3.76881e9 | 0.729192 | ||||||||
\(597\) | −3.70693e9 | −0.713023 | ||||||||
\(598\) | −2.16222e9 | − | 3.74507e9i | −0.413471 | − | 0.716153i | ||||
\(599\) | 1.24639e9 | + | 2.15880e9i | 0.236951 | + | 0.410411i | 0.959838 | − | 0.280555i | \(-0.0905185\pi\) |
−0.722887 | + | 0.690966i | \(0.757185\pi\) | |||||||
\(600\) | 4.62543e9 | 0.874224 | ||||||||
\(601\) | 6.02681e8 | 0.113247 | 0.0566235 | − | 0.998396i | \(-0.481967\pi\) | ||||
0.0566235 | + | 0.998396i | \(0.481967\pi\) | |||||||
\(602\) | 2.13010e8 | + | 3.68944e8i | 0.0397935 | + | 0.0689244i | ||||
\(603\) | 8.16223e8 | − | 1.41374e9i | 0.151600 | − | 0.262578i | ||||
\(604\) | −2.48405e8 | − | 4.30250e8i | −0.0458703 | − | 0.0794496i | ||||
\(605\) | 6.09691e8 | − | 1.05602e9i | 0.111935 | − | 0.193877i | ||||
\(606\) | 7.80891e7 | − | 1.35254e8i | 0.0142540 | − | 0.0246886i | ||||
\(607\) | −6.23151e9 | −1.13092 | −0.565461 | − | 0.824775i | \(-0.691302\pi\) | ||||
−0.565461 | + | 0.824775i | \(0.691302\pi\) | |||||||
\(608\) | −9.35917e8 | + | 2.89563e8i | −0.168879 | + | 0.0522493i | ||||
\(609\) | 1.28233e9 | 0.230060 | ||||||||
\(610\) | −5.69177e7 | + | 9.85844e7i | −0.0101530 | + | 0.0175855i | ||||
\(611\) | 1.74991e8 | − | 3.03093e8i | 0.0310364 | − | 0.0537567i | ||||
\(612\) | −5.22777e8 | − | 9.05476e8i | −0.0921905 | − | 0.159679i | ||||
\(613\) | −3.30404e9 | + | 5.72276e9i | −0.579340 | + | 1.00345i | 0.416216 | + | 0.909266i | \(0.363356\pi\) |
−0.995555 | + | 0.0941796i | \(0.969977\pi\) | |||||||
\(614\) | −2.57593e9 | − | 4.46165e9i | −0.449102 | − | 0.777868i | ||||
\(615\) | 1.11307e10 | 1.92956 | ||||||||
\(616\) | 3.28053e8 | 0.0565473 | ||||||||
\(617\) | −2.51081e9 | − | 4.34886e9i | −0.430345 | − | 0.745379i | 0.566558 | − | 0.824022i | \(-0.308275\pi\) |
−0.996903 | + | 0.0786427i | \(0.974941\pi\) | |||||||
\(618\) | 1.05804e9 | + | 1.83259e9i | 0.180320 | + | 0.312323i | ||||
\(619\) | −5.27733e9 | −0.894328 | −0.447164 | − | 0.894452i | \(-0.647566\pi\) | ||||
−0.447164 | + | 0.894452i | \(0.647566\pi\) | |||||||
\(620\) | −4.63252e9 | −0.780632 | ||||||||
\(621\) | −3.55077e9 | − | 6.15011e9i | −0.594979 | − | 1.03053i | ||||
\(622\) | 2.53832e9 | − | 4.39650e9i | 0.422942 | − | 0.732557i | ||||
\(623\) | −2.59409e8 | − | 4.49310e8i | −0.0429811 | − | 0.0744455i | ||||
\(624\) | 7.05862e8 | − | 1.22259e9i | 0.116298 | − | 0.201435i | ||||
\(625\) | −1.26044e10 | + | 2.18315e10i | −2.06511 | + | 3.57687i | ||||
\(626\) | −2.86545e9 | −0.466855 | ||||||||
\(627\) | −3.73669e9 | − | 3.46124e9i | −0.605411 | − | 0.560783i | ||||
\(628\) | 5.71591e9 | 0.920929 | ||||||||
\(629\) | 1.51534e9 | − | 2.62465e9i | 0.242791 | − | 0.420527i | ||||
\(630\) | −1.70197e8 | + | 2.94789e8i | −0.0271181 | + | 0.0469699i | ||||
\(631\) | 1.29310e9 | + | 2.23971e9i | 0.204894 | + | 0.354887i | 0.950099 | − | 0.311949i | \(-0.100982\pi\) |
−0.745205 | + | 0.666835i | \(0.767648\pi\) | |||||||
\(632\) | −1.56049e8 | + | 2.70284e8i | −0.0245895 | + | 0.0425903i | ||||
\(633\) | 3.20753e9 | + | 5.55561e9i | 0.502641 | + | 0.870600i | ||||
\(634\) | 4.15626e9 | 0.647725 | ||||||||
\(635\) | 2.47591e10 | 3.83730 | ||||||||
\(636\) | 4.32841e8 | + | 7.49703e8i | 0.0667158 | + | 0.115555i | ||||
\(637\) | −3.36046e9 | − | 5.82049e9i | −0.515123 | − | 0.892219i | ||||
\(638\) | 6.73618e9 | 1.02693 | ||||||||
\(639\) | 8.27609e8 | 0.125479 | ||||||||
\(640\) | −5.72796e8 | − | 9.92111e8i | −0.0863714 | − | 0.149600i | ||||
\(641\) | −9.35551e8 | + | 1.62042e9i | −0.140302 | + | 0.243010i | −0.927610 | − | 0.373549i | \(-0.878141\pi\) |
0.787308 | + | 0.616560i | \(0.211474\pi\) | |||||||
\(642\) | −9.44194e8 | − | 1.63539e9i | −0.140828 | − | 0.243921i | ||||
\(643\) | 1.16439e8 | − | 2.01678e8i | 0.0172726 | − | 0.0299171i | −0.857260 | − | 0.514884i | \(-0.827835\pi\) |
0.874533 | + | 0.484967i | \(0.161168\pi\) | |||||||
\(644\) | −3.17492e8 | + | 5.49912e8i | −0.0468417 | + | 0.0811321i | ||||
\(645\) | 7.73460e9 | 1.13495 | ||||||||
\(646\) | 7.39215e9 | − | 2.28705e9i | 1.07884 | − | 0.333781i | ||||
\(647\) | −1.01186e10 | −1.46877 | −0.734385 | − | 0.678733i | \(-0.762529\pi\) | ||||
−0.734385 | + | 0.678733i | \(0.762529\pi\) | |||||||
\(648\) | 8.76436e8 | − | 1.51803e9i | 0.126534 | − | 0.219163i | ||||
\(649\) | −3.38623e9 | + | 5.86513e9i | −0.486251 | + | 0.842211i | ||||
\(650\) | 7.40458e9 | + | 1.28251e10i | 1.05756 | + | 1.83174i | ||||
\(651\) | −4.19123e8 | + | 7.25942e8i | −0.0595398 | + | 0.103126i | ||||
\(652\) | −1.11571e9 | − | 1.93247e9i | −0.157647 | − | 0.273053i | ||||
\(653\) | 8.66788e8 | 0.121819 | 0.0609097 | − | 0.998143i | \(-0.480600\pi\) | ||||
0.0609097 | + | 0.998143i | \(0.480600\pi\) | |||||||
\(654\) | −3.07790e9 | −0.430261 | ||||||||
\(655\) | −6.02404e9 | − | 1.04340e10i | −0.837613 | − | 1.45079i | ||||
\(656\) | −1.01750e9 | − | 1.76237e9i | −0.140725 | − | 0.243743i | ||||
\(657\) | 9.47532e8 | 0.130351 | ||||||||
\(658\) | −5.13901e7 | −0.00703216 | ||||||||
\(659\) | −2.28489e9 | − | 3.95755e9i | −0.311004 | − | 0.538676i | 0.667576 | − | 0.744542i | \(-0.267332\pi\) |
−0.978580 | + | 0.205866i | \(0.933999\pi\) | |||||||
\(660\) | 2.97798e9 | − | 5.15802e9i | 0.403198 | − | 0.698360i | ||||
\(661\) | −6.10131e9 | − | 1.05678e10i | −0.821709 | − | 1.42324i | −0.904409 | − | 0.426667i | \(-0.859688\pi\) |
0.0826998 | − | 0.996575i | \(-0.473646\pi\) | |||||||
\(662\) | −3.99448e9 | + | 6.91865e9i | −0.535128 | + | 0.926869i | ||||
\(663\) | −5.57510e9 | + | 9.65636e9i | −0.742943 | + | 1.28682i | ||||
\(664\) | −1.43284e9 | −0.189937 | ||||||||
\(665\) | −1.84813e9 | − | 1.71189e9i | −0.243700 | − | 0.225736i | ||||
\(666\) | −3.78452e8 | −0.0496422 | ||||||||
\(667\) | −6.51932e9 | + | 1.12918e10i | −0.850672 | + | 1.47341i | ||||
\(668\) | −3.00650e9 | + | 5.20741e9i | −0.390250 | + | 0.675934i | ||||
\(669\) | −2.90720e9 | − | 5.03542e9i | −0.375391 | − | 0.650195i | ||||
\(670\) | −7.06359e9 | + | 1.22345e10i | −0.907327 | + | 1.57154i | ||||
\(671\) | 5.41021e7 | + | 9.37076e7i | 0.00691330 | + | 0.0119742i | ||||
\(672\) | −2.07292e8 | −0.0263506 | ||||||||
\(673\) | 9.89747e9 | 1.25162 | 0.625809 | − | 0.779977i | \(-0.284769\pi\) | ||||
0.625809 | + | 0.779977i | \(0.284769\pi\) | |||||||
\(674\) | −1.43901e9 | − | 2.49244e9i | −0.181032 | − | 0.313556i | ||||
\(675\) | 1.21597e10 | + | 2.10613e10i | 1.52181 | + | 2.63585i | ||||
\(676\) | 5.03987e8 | 0.0627489 | ||||||||
\(677\) | −2.44937e9 | −0.303385 | −0.151692 | − | 0.988428i | \(-0.548472\pi\) | ||||
−0.151692 | + | 0.988428i | \(0.548472\pi\) | |||||||
\(678\) | 1.57561e9 | + | 2.72903e9i | 0.194153 | + | 0.336283i | ||||
\(679\) | 5.67846e8 | − | 9.83538e8i | 0.0696124 | − | 0.120572i | ||||
\(680\) | 4.52411e9 | + | 7.83599e9i | 0.551762 | + | 0.955680i | ||||
\(681\) | 3.91207e9 | − | 6.77590e9i | 0.474670 | − | 0.822152i | ||||
\(682\) | −2.20168e9 | + | 3.81342e9i | −0.265772 | + | 0.460330i | ||||
\(683\) | −1.25074e10 | −1.50208 | −0.751040 | − | 0.660256i | \(-0.770448\pi\) | ||||
−0.751040 | + | 0.660256i | \(0.770448\pi\) | |||||||
\(684\) | −7.08871e8 | − | 6.56617e8i | −0.0846975 | − | 0.0784541i | ||||
\(685\) | 1.03962e10 | 1.23582 | ||||||||
\(686\) | −1.00156e9 | + | 1.73474e9i | −0.118452 | + | 0.205164i | ||||
\(687\) | 5.80662e9 | − | 1.00574e10i | 0.683242 | − | 1.18341i | ||||
\(688\) | −7.07053e8 | − | 1.22465e9i | −0.0827737 | − | 0.143368i | ||||
\(689\) | −1.38582e9 | + | 2.40031e9i | −0.161413 | + | 0.279576i | ||||
\(690\) | 5.76422e9 | + | 9.98392e9i | 0.667988 | + | 1.15699i | ||||
\(691\) | −2.95176e9 | −0.340336 | −0.170168 | − | 0.985415i | \(-0.554431\pi\) | ||||
−0.170168 | + | 0.985415i | \(0.554431\pi\) | |||||||
\(692\) | 2.97556e9 | 0.341348 | ||||||||
\(693\) | 1.61777e8 | + | 2.80206e8i | 0.0184651 | + | 0.0319825i | ||||
\(694\) | −2.11150e9 | − | 3.65723e9i | −0.239791 | − | 0.415330i | ||||
\(695\) | −3.06366e10 | −3.46174 | ||||||||
\(696\) | −4.25650e9 | −0.478543 | ||||||||
\(697\) | 8.03653e9 | + | 1.39197e10i | 0.898988 | + | 1.55709i | ||||
\(698\) | 3.62318e9 | − | 6.27554e9i | 0.403270 | − | 0.698485i | ||||
\(699\) | −3.20435e9 | − | 5.55009e9i | −0.354870 | − | 0.614653i | ||||
\(700\) | 1.08726e9 | − | 1.88319e9i | 0.119809 | − | 0.207516i | ||||
\(701\) | 9.07691e8 | − | 1.57217e9i | 0.0995234 | − | 0.172380i | −0.811964 | − | 0.583707i | \(-0.801602\pi\) |
0.911487 | + | 0.411328i | \(0.134935\pi\) | |||||||
\(702\) | 7.42252e9 | 0.809788 | ||||||||
\(703\) | 6.20922e8 | − | 2.73112e9i | 0.0674052 | − | 0.296482i | ||||
\(704\) | −1.08892e9 | −0.117623 | ||||||||
\(705\) | −4.66506e8 | + | 8.08012e8i | −0.0501413 | + | 0.0868473i | ||||
\(706\) | −2.02876e9 | + | 3.51392e9i | −0.216978 | + | 0.375816i | ||||
\(707\) | −3.67115e7 | − | 6.35862e7i | −0.00390692 | − | 0.00676698i | ||||
\(708\) | 2.13971e9 | − | 3.70609e9i | 0.226589 | − | 0.392464i | ||||
\(709\) | 9.88791e8 | + | 1.71264e9i | 0.104194 | + | 0.180469i | 0.913409 | − | 0.407044i | \(-0.133440\pi\) |
−0.809215 | + | 0.587513i | \(0.800107\pi\) | |||||||
\(710\) | −7.16213e9 | −0.750996 | ||||||||
\(711\) | −3.07817e8 | −0.0321181 | ||||||||
\(712\) | 8.61069e8 | + | 1.49141e9i | 0.0894042 | + | 0.154853i | ||||
\(713\) | −4.26160e9 | − | 7.38130e9i | −0.440311 | − | 0.762640i | ||||
\(714\) | 1.63726e9 | 0.168334 | ||||||||
\(715\) | 1.90691e10 | 1.95101 | ||||||||
\(716\) | −3.43419e9 | − | 5.94820e9i | −0.349646 | − | 0.605605i | ||||
\(717\) | 2.89769e8 | − | 5.01895e8i | 0.0293586 | − | 0.0508506i | ||||
\(718\) | −6.94155e9 | − | 1.20231e10i | −0.699875 | − | 1.21222i | ||||
\(719\) | −3.55313e9 | + | 6.15420e9i | −0.356500 | + | 0.617476i | −0.987374 | − | 0.158409i | \(-0.949363\pi\) |
0.630873 | + | 0.775886i | \(0.282697\pi\) | |||||||
\(720\) | 5.64941e8 | − | 9.78506e8i | 0.0564078 | − | 0.0977012i | ||||
\(721\) | 9.94823e8 | 0.0988490 | ||||||||
\(722\) | 5.90156e9 | − | 4.03832e9i | 0.583562 | − | 0.399319i | ||||
\(723\) | −1.39341e10 | −1.37119 | ||||||||
\(724\) | 4.27105e8 | − | 7.39767e8i | 0.0418263 | − | 0.0724453i | ||||
\(725\) | 2.23256e10 | − | 3.86691e10i | 2.17581 | − | 3.76861i | ||||
\(726\) | 3.66198e8 | + | 6.34273e8i | 0.0355171 | + | 0.0615174i | ||||
\(727\) | 3.24626e9 | − | 5.62269e9i | 0.313338 | − | 0.542718i | −0.665745 | − | 0.746180i | \(-0.731886\pi\) |
0.979083 | + | 0.203462i | \(0.0652194\pi\) | |||||||
\(728\) | −3.31842e8 | − | 5.74768e8i | −0.0318766 | − | 0.0552119i | ||||
\(729\) | 1.16315e10 | 1.11196 | ||||||||
\(730\) | −8.19994e9 | −0.780155 | ||||||||
\(731\) | 5.58451e9 | + | 9.67266e9i | 0.528779 | + | 0.915872i | ||||
\(732\) | −3.41864e7 | − | 5.92126e7i | −0.00322155 | − | 0.00557988i | ||||
\(733\) | 3.30727e9 | 0.310174 | 0.155087 | − | 0.987901i | \(-0.450434\pi\) | ||||
0.155087 | + | 0.987901i | \(0.450434\pi\) | |||||||
\(734\) | −9.57922e9 | −0.894116 | ||||||||
\(735\) | 8.95860e9 | + | 1.55168e10i | 0.832213 | + | 1.44144i | ||||
\(736\) | 1.05386e9 | − | 1.82535e9i | 0.0974345 | − | 0.168761i | ||||
\(737\) | 6.71417e9 | + | 1.16293e10i | 0.617812 | + | 1.07008i | ||||
\(738\) | 1.00355e9 | − | 1.73820e9i | 0.0919055 | − | 0.159185i | ||||
\(739\) | −4.58526e9 | + | 7.94190e9i | −0.417934 | + | 0.723884i | −0.995732 | − | 0.0922968i | \(-0.970579\pi\) |
0.577797 | + | 0.816180i | \(0.303912\pi\) | |||||||
\(740\) | 3.27512e9 | 0.297109 | ||||||||
\(741\) | −2.28444e9 | + | 1.00481e10i | −0.206260 | + | 0.907236i | ||||
\(742\) | 4.06978e8 | 0.0365727 | ||||||||
\(743\) | −1.75418e9 | + | 3.03833e9i | −0.156896 | + | 0.271753i | −0.933748 | − | 0.357931i | \(-0.883482\pi\) |
0.776852 | + | 0.629684i | \(0.216816\pi\) | |||||||
\(744\) | 1.39121e9 | − | 2.40965e9i | 0.123848 | − | 0.214510i | ||||
\(745\) | −1.60840e10 | − | 2.78583e10i | −1.42510 | − | 2.46835i | ||||
\(746\) | 5.09829e9 | − | 8.83051e9i | 0.449613 | − | 0.778753i | ||||
\(747\) | −7.06594e8 | − | 1.22386e9i | −0.0620223 | − | 0.107426i | ||||
\(748\) | 8.60062e9 | 0.751405 | ||||||||
\(749\) | −8.87776e8 | −0.0772000 | ||||||||
\(750\) | −1.27387e10 | − | 2.20640e10i | −1.10258 | − | 1.90972i | ||||
\(751\) | −2.79200e9 | − | 4.83589e9i | −0.240534 | − | 0.416617i | 0.720333 | − | 0.693629i | \(-0.243989\pi\) |
−0.960866 | + | 0.277012i | \(0.910656\pi\) | |||||||
\(752\) | 1.70581e8 | 0.0146275 | ||||||||
\(753\) | −1.29408e10 | −1.10453 | ||||||||
\(754\) | −6.81399e9 | − | 1.18022e10i | −0.578897 | − | 1.00268i | ||||
\(755\) | −2.12022e9 | + | 3.67232e9i | −0.179294 | + | 0.310547i | ||||
\(756\) | −5.44948e8 | − | 9.43878e8i | −0.0458700 | − | 0.0794492i | ||||
\(757\) | 4.78255e9 | − | 8.28363e9i | 0.400705 | − | 0.694041i | −0.593107 | − | 0.805124i | \(-0.702099\pi\) |
0.993811 | + | 0.111083i | \(0.0354321\pi\) | |||||||
\(758\) | 3.12707e9 | − | 5.41625e9i | 0.260793 | − | 0.451707i | ||||
\(759\) | 1.09582e10 | 0.909685 | ||||||||
\(760\) | 6.13457e9 | + | 5.68236e9i | 0.506917 | + | 0.469549i | ||||
\(761\) | 8.73122e9 | 0.718172 | 0.359086 | − | 0.933304i | \(-0.383088\pi\) | ||||
0.359086 | + | 0.933304i | \(0.383088\pi\) | |||||||
\(762\) | −7.43549e9 | + | 1.28787e10i | −0.608790 | + | 1.05446i | ||||
\(763\) | −7.23497e8 | + | 1.25313e9i | −0.0589659 | + | 0.102132i | ||||
\(764\) | 2.09708e9 | + | 3.63225e9i | 0.170133 | + | 0.294679i | ||||
\(765\) | −4.46207e9 | + | 7.72853e9i | −0.360347 | + | 0.624139i | ||||
\(766\) | 1.63843e9 | + | 2.83784e9i | 0.131712 | + | 0.228132i | ||||
\(767\) | 1.37014e10 | 1.09643 | ||||||||
\(768\) | 6.88075e8 | 0.0548115 | ||||||||
\(769\) | 3.33213e9 | + | 5.77142e9i | 0.264229 | + | 0.457658i | 0.967361 | − | 0.253401i | \(-0.0815493\pi\) |
−0.703132 | + | 0.711059i | \(0.748216\pi\) | |||||||
\(770\) | −1.40002e9 | − | 2.42491e9i | −0.110514 | − | 0.191416i | ||||
\(771\) | 2.31983e8 | 0.0182291 | ||||||||
\(772\) | −6.17896e8 | −0.0483342 | ||||||||
\(773\) | −1.08342e9 | − | 1.87654e9i | −0.0843661 | − | 0.146126i | 0.820755 | − | 0.571281i | \(-0.193553\pi\) |
−0.905121 | + | 0.425154i | \(0.860220\pi\) | |||||||
\(774\) | 6.97357e8 | − | 1.20786e9i | 0.0540582 | − | 0.0936315i | ||||
\(775\) | 1.45940e10 | + | 2.52775e10i | 1.12621 | + | 1.95065i | ||||
\(776\) | −1.88488e9 | + | 3.26470e9i | −0.144799 | + | 0.250800i | ||||
\(777\) | 2.96313e8 | − | 5.13230e8i | 0.0226609 | − | 0.0392499i | ||||
\(778\) | −1.31396e10 | −1.00036 | ||||||||
\(779\) | 1.08973e10 | + | 1.00940e10i | 0.825922 | + | 0.765039i | ||||
\(780\) | −1.20495e10 | −0.909156 | ||||||||
\(781\) | −3.40392e9 | + | 5.89576e9i | −0.255682 | + | 0.442854i | ||||
\(782\) | −8.32373e9 | + | 1.44171e10i | −0.622436 | + | 1.07809i | ||||
\(783\) | −1.11899e10 | − | 1.93814e10i | −0.833026 | − | 1.44284i | ||||
\(784\) | 1.63789e9 | − | 2.83691e9i | 0.121389 | − | 0.210251i | ||||
\(785\) | −2.43935e10 | − | 4.22509e10i | −1.79983 | − | 3.11739i | ||||
\(786\) | 7.23642e9 | 0.531551 | ||||||||
\(787\) | −4.05121e9 | −0.296260 | −0.148130 | − | 0.988968i | \(-0.547325\pi\) | ||||
−0.148130 | + | 0.988968i | \(0.547325\pi\) | |||||||
\(788\) | −1.71364e9 | − | 2.96811e9i | −0.124760 | − | 0.216091i | ||||
\(789\) | 7.93527e8 | + | 1.37443e9i | 0.0575165 | + | 0.0996215i | ||||
\(790\) | 2.66385e9 | 0.192227 | ||||||||
\(791\) | 1.48146e9 | 0.106432 | ||||||||
\(792\) | −5.36994e8 | − | 9.30101e8i | −0.0384089 | − | 0.0665261i | ||||
\(793\) | 1.09454e8 | − | 1.89580e8i | 0.00779427 | − | 0.0135001i | ||||
\(794\) | 7.13335e9 | + | 1.23553e10i | 0.505733 | + | 0.875956i | ||||
\(795\) | 3.69444e9 | − | 6.39896e9i | 0.260774 | − | 0.451673i | ||||
\(796\) | 2.89233e9 | − | 5.00967e9i | 0.203260 | − | 0.352057i | ||||
\(797\) | 1.32068e10 | 0.924043 | 0.462022 | − | 0.886869i | \(-0.347124\pi\) | ||||
0.462022 | + | 0.886869i | \(0.347124\pi\) | |||||||
\(798\) | 1.44548e9 | − | 4.47215e8i | 0.100693 | − | 0.0311535i | ||||
\(799\) | −1.34730e9 | −0.0934440 | ||||||||
\(800\) | −3.60900e9 | + | 6.25097e9i | −0.249213 | + | 0.431650i | ||||
\(801\) | −8.49260e8 | + | 1.47096e9i | −0.0583885 | + | 0.101132i | ||||
\(802\) | 6.55674e9 | + | 1.13566e10i | 0.448826 | + | 0.777389i | ||||
\(803\) | −3.89715e9 | + | 6.75007e9i | −0.265609 | + | 0.460049i | ||||
\(804\) | −4.24260e9 | − | 7.34839e9i | −0.287896 | − | 0.498650i | ||||
\(805\) | 5.41979e9 | 0.366182 | ||||||||
\(806\) | 8.90844e9 | 0.599279 | ||||||||
\(807\) | −4.51400e9 | − | 7.81848e9i | −0.302346 | − | 0.523679i | ||||
\(808\) | 1.21858e8 | + | 2.11064e8i | 0.00812671 | + | 0.0140759i | ||||
\(809\) | −1.65984e10 | −1.10217 | −0.551083 | − | 0.834450i | \(-0.685785\pi\) | ||||
−0.551083 | + | 0.834450i | \(0.685785\pi\) | |||||||
\(810\) | −1.49613e10 | −0.989173 | ||||||||
\(811\) | −5.60895e9 | − | 9.71498e9i | −0.369240 | − | 0.639542i | 0.620207 | − | 0.784438i | \(-0.287049\pi\) |
−0.989447 | + | 0.144896i | \(0.953715\pi\) | |||||||
\(812\) | −1.00054e9 | + | 1.73299e9i | −0.0655827 | + | 0.113593i | ||||
\(813\) | 1.12513e10 | + | 1.94879e10i | 0.734323 | + | 1.27188i | ||||
\(814\) | 1.55655e9 | − | 2.69603e9i | 0.101153 | − | 0.175202i | ||||
\(815\) | −9.52298e9 | + | 1.64943e10i | −0.616199 | + | 1.06729i | ||||
\(816\) | −5.43462e9 | −0.350149 | ||||||||
\(817\) | 7.57245e9 | + | 7.01425e9i | 0.485802 | + | 0.449991i | ||||
\(818\) | 6.88189e8 | 0.0439613 | ||||||||
\(819\) | 3.27292e8 | − | 5.66886e8i | 0.0208181 | − | 0.0360580i | ||||
\(820\) | −8.68471e9 | + | 1.50424e10i | −0.550056 | + | 0.952725i | ||||
\(821\) | 1.24209e10 | + | 2.15136e10i | 0.783342 | + | 1.35679i | 0.929985 | + | 0.367598i | \(0.119820\pi\) |
−0.146643 | + | 0.989190i | \(0.546847\pi\) | |||||||
\(822\) | −3.12212e9 | + | 5.40767e9i | −0.196064 | + | 0.339593i | ||||
\(823\) | 1.46287e9 | + | 2.53377e9i | 0.0914760 | + | 0.158441i | 0.908132 | − | 0.418683i | \(-0.137508\pi\) |
−0.816656 | + | 0.577124i | \(0.804175\pi\) | |||||||
\(824\) | −3.30216e9 | −0.205614 | ||||||||
\(825\) | −3.75266e10 | −2.32675 | ||||||||
\(826\) | −1.00593e9 | − | 1.74232e9i | −0.0621066 | − | 0.107572i | ||||
\(827\) | −1.06012e10 | − | 1.83619e10i | −0.651759 | − | 1.12888i | −0.982696 | − | 0.185227i | \(-0.940698\pi\) |
0.330937 | − | 0.943653i | \(-0.392635\pi\) | |||||||
\(828\) | 2.07883e9 | 0.127266 | ||||||||
\(829\) | −4.46919e9 | −0.272450 | −0.136225 | − | 0.990678i | \(-0.543497\pi\) | ||||
−0.136225 | + | 0.990678i | \(0.543497\pi\) | |||||||
\(830\) | 6.11487e9 | + | 1.05913e10i | 0.371205 | + | 0.642946i | ||||
\(831\) | 2.58963e8 | − | 4.48537e8i | 0.0156543 | − | 0.0271141i | ||||
\(832\) | 1.10150e9 | + | 1.90785e9i | 0.0663059 | + | 0.114845i | ||||
\(833\) | −1.29365e10 | + | 2.24067e10i | −0.775462 | + | 1.34314i | ||||
\(834\) | 9.20061e9 | − | 1.59359e10i | 0.549206 | − | 0.951253i | ||||
\(835\) | 5.13229e10 | 3.05076 | ||||||||
\(836\) | 7.59319e9 | − | 2.34925e9i | 0.449471 | − | 0.139062i | ||||
\(837\) | 1.46293e10 | 0.862354 | ||||||||
\(838\) | 1.05025e9 | − | 1.81908e9i | 0.0616506 | − | 0.106782i | ||||
\(839\) | −8.21558e9 | + | 1.42298e10i | −0.480255 | + | 0.831826i | −0.999743 | − | 0.0226518i | \(-0.992789\pi\) |
0.519489 | + | 0.854477i | \(0.326122\pi\) | |||||||
\(840\) | 8.84654e8 | + | 1.53227e9i | 0.0514987 | + | 0.0891983i | ||||
\(841\) | −1.19200e10 | + | 2.06460e10i | −0.691019 | + | 1.19688i | ||||
\(842\) | 7.55681e9 | + | 1.30888e10i | 0.436261 | + | 0.755626i | ||||
\(843\) | −8.71140e9 | −0.500831 | ||||||||
\(844\) | −1.00107e10 | −0.573148 | ||||||||
\(845\) | −2.15085e9 | − | 3.72538e9i | −0.122634 | − | 0.212408i | ||||
\(846\) | 8.41211e7 | + | 1.45702e8i | 0.00477649 | + | 0.00827312i | ||||
\(847\) | 3.44316e8 | 0.0194700 | ||||||||
\(848\) | −1.35090e9 | −0.0760742 | ||||||||
\(849\) | 5.47081e9 | + | 9.47572e9i | 0.306814 | + | 0.531417i | ||||
\(850\) | 2.85049e10 | − | 4.93720e10i | 1.59204 | − | 2.75749i | ||||
\(851\) | 3.01288e9 | + | 5.21847e9i | 0.167583 | + | 0.290262i | ||||
\(852\) | 2.15089e9 | − | 3.72545e9i | 0.119146 | − | 0.206367i | ||||
\(853\) | 1.37494e10 | − | 2.38147e10i | 0.758512 | − | 1.31378i | −0.185097 | − | 0.982720i | \(-0.559260\pi\) |
0.943609 | − | 0.331062i | \(-0.107407\pi\) | |||||||
\(854\) | −3.21437e7 | −0.00176601 | ||||||||
\(855\) | −1.82836e9 | + | 8.04205e9i | −0.100042 | + | 0.440033i | ||||
\(856\) | 2.94683e9 | 0.160582 | ||||||||
\(857\) | 5.93215e9 | − | 1.02748e10i | 0.321943 | − | 0.557622i | −0.658946 | − | 0.752190i | \(-0.728997\pi\) |
0.980889 | + | 0.194569i | \(0.0623307\pi\) | |||||||
\(858\) | −5.72673e9 | + | 9.91898e9i | −0.309529 | + | 0.536120i | ||||
\(859\) | 4.09478e9 | + | 7.09237e9i | 0.220422 | + | 0.381782i | 0.954936 | − | 0.296811i | \(-0.0959233\pi\) |
−0.734514 | + | 0.678593i | \(0.762590\pi\) | |||||||
\(860\) | −6.03492e9 | + | 1.04528e10i | −0.323539 | + | 0.560387i | ||||
\(861\) | 1.57148e9 | + | 2.72189e9i | 0.0839070 | + | 0.145331i | ||||
\(862\) | 1.94804e9 | 0.103591 | ||||||||
\(863\) | 2.14665e10 | 1.13690 | 0.568450 | − | 0.822718i | \(-0.307543\pi\) | ||||
0.568450 | + | 0.822718i | \(0.307543\pi\) | |||||||
\(864\) | 1.80887e9 | + | 3.13305e9i | 0.0954134 | + | 0.165261i | ||||
\(865\) | −1.26987e10 | − | 2.19948e10i | −0.667118 | − | 1.15548i | ||||
\(866\) | 2.42126e7 | 0.00126686 | ||||||||
\(867\) | 2.60952e10 | 1.35986 | ||||||||
\(868\) | −6.54041e8 | − | 1.13283e9i | −0.0339458 | − | 0.0587959i | ||||
\(869\) | 1.26604e9 | − | 2.19284e9i | 0.0654452 | − | 0.113354i | ||||
\(870\) | 1.81653e10 | + | 3.14632e10i | 0.935245 | + | 1.61989i | ||||
\(871\) | 1.35834e10 | − | 2.35272e10i | 0.696541 | − | 1.20644i | ||||
\(872\) | 2.40153e9 | − | 4.15958e9i | 0.122654 | − | 0.212443i | ||||
\(873\) | −3.71805e9 | −0.189132 | ||||||||
\(874\) | −3.41071e9 | + | 1.50020e10i | −0.172804 | + | 0.760080i | ||||
\(875\) | −1.19775e10 | −0.604420 | ||||||||
\(876\) | 2.46256e9 | − | 4.26528e9i | 0.123772 | − | 0.214379i | ||||
\(877\) | 7.83931e9 | − | 1.35781e10i | 0.392445 | − | 0.679735i | −0.600326 | − | 0.799755i | \(-0.704963\pi\) |
0.992771 | + | 0.120020i | \(0.0382959\pi\) | |||||||
\(878\) | −6.10484e9 | − | 1.05739e10i | −0.304399 | − | 0.527235i | ||||
\(879\) | 2.74291e9 | − | 4.75086e9i | 0.136223 | − | 0.235945i | ||||
\(880\) | 4.64715e9 | + | 8.04910e9i | 0.229878 | + | 0.398160i | ||||
\(881\) | −1.64516e10 | −0.810574 | −0.405287 | − | 0.914190i | \(-0.632828\pi\) | ||||
−0.405287 | + | 0.914190i | \(0.632828\pi\) | |||||||
\(882\) | 3.23086e9 | 0.158554 | ||||||||
\(883\) | −4.22262e9 | − | 7.31379e9i | −0.206405 | − | 0.357503i | 0.744175 | − | 0.667985i | \(-0.232843\pi\) |
−0.950579 | + | 0.310482i | \(0.899510\pi\) | |||||||
\(884\) | −8.69996e9 | − | 1.50688e10i | −0.423579 | − | 0.733660i | ||||
\(885\) | −3.65263e10 | −1.77135 | ||||||||
\(886\) | −1.45025e10 | −0.700525 | ||||||||
\(887\) | −1.24505e10 | − | 2.15649e10i | −0.599038 | − | 1.03756i | −0.992963 | − | 0.118422i | \(-0.962216\pi\) |
0.393925 | − | 0.919143i | \(-0.371117\pi\) | |||||||
\(888\) | −9.83565e8 | + | 1.70358e9i | −0.0471365 | + | 0.0816429i | ||||
\(889\) | 3.49560e9 | + | 6.05456e9i | 0.166865 | + | 0.289019i | ||||
\(890\) | 7.34950e9 | − | 1.27297e10i | 0.349456 | − | 0.605276i | ||||
\(891\) | −7.11061e9 | + | 1.23159e10i | −0.336771 | + | 0.583305i | ||||
\(892\) | 9.07338e9 | 0.428047 | ||||||||
\(893\) | −1.18949e9 | + | 3.68014e8i | −0.0558958 | + | 0.0172936i | ||||
\(894\) | 1.93210e10 | 0.904374 | ||||||||
\(895\) | −2.93119e10 | + | 5.07698e10i | −1.36667 | + | 2.36714i | ||||
\(896\) | 1.61740e8 | − | 2.80142e8i | 0.00751173 | − | 0.0130107i | ||||
\(897\) | −1.10847e10 | − | 1.91993e10i | −0.512804 | − | 0.888202i | ||||
\(898\) | 3.89747e9 | − | 6.75061e9i | 0.179604 | − | 0.311083i | ||||
\(899\) | −1.34300e10 | − | 2.32614e10i | −0.616475 | − | 1.06777i | ||||
\(900\) | −7.11901e9 | −0.325515 | ||||||||
\(901\) | 1.06698e10 | 0.485981 | ||||||||
\(902\) | 8.25510e9 | + | 1.42983e10i | 0.374541 | + | 0.648724i | ||||
\(903\) | 1.09201e9 | + | 1.89141e9i | 0.0493536 | + | 0.0854829i | ||||
\(904\) | −4.91748e9 | −0.221387 | ||||||||
\(905\) | −7.29095e9 | −0.326975 | ||||||||
\(906\) | −1.27346e9 | − | 2.20570e9i | −0.0568902 | − | 0.0985368i | ||||
\(907\) | −1.27383e10 | + | 2.20634e10i | −0.566873 | + | 0.981853i | 0.430000 | + | 0.902829i | \(0.358514\pi\) |
−0.996873 | + | 0.0790237i | \(0.974820\pi\) | |||||||
\(908\) | 6.10479e9 | + | 1.05738e10i | 0.270626 | + | 0.468739i | ||||
\(909\) | −1.20187e8 | + | 2.08170e8i | −0.00530743 | + | 0.00919273i | ||||
\(910\) | −2.83238e9 | + | 4.90583e9i | −0.124597 | + | 0.215808i | ||||
\(911\) | −1.24205e10 | −0.544284 | −0.272142 | − | 0.962257i | \(-0.587732\pi\) | ||||
−0.272142 | + | 0.962257i | \(0.587732\pi\) | |||||||
\(912\) | −4.79803e9 | + | 1.48446e9i | −0.209450 | + | 0.0648017i | ||||
\(913\) | 1.16248e10 | 0.505518 | ||||||||
\(914\) | −4.12572e9 | + | 7.14595e9i | −0.178726 | + | 0.309563i | ||||
\(915\) | −2.91792e8 | + | 5.05398e8i | −0.0125921 | + | 0.0218102i | ||||
\(916\) | 9.06124e9 | + | 1.56945e10i | 0.389541 | + | 0.674705i | ||||
\(917\) | 1.70101e9 | − | 2.94623e9i | 0.0728473 | − | 0.126175i | ||||
\(918\) | −1.42870e10 | − | 2.47458e10i | −0.609524 | − | 1.05573i | ||||
\(919\) | 1.86708e10 | 0.793523 | 0.396761 | − | 0.917922i | \(-0.370134\pi\) | ||||
0.396761 | + | 0.917922i | \(0.370134\pi\) | |||||||
\(920\) | −1.79902e10 | −0.761689 | ||||||||
\(921\) | −1.32057e10 | − | 2.28729e10i | −0.556995 | − | 0.964744i | ||||
\(922\) | 5.43296e9 | + | 9.41016e9i | 0.228285 | + | 0.395402i | ||||
\(923\) | 1.37729e10 | 0.576528 | ||||||||
\(924\) | 1.68178e9 | 0.0701323 | ||||||||
\(925\) | −1.03177e10 | − | 1.78708e10i | −0.428635 | − | 0.742418i | ||||
\(926\) | −1.03319e10 | + | 1.78954e10i | −0.427605 | + | 0.740633i | ||||
\(927\) | −1.62844e9 | − | 2.82053e9i | −0.0671416 | − | 0.116293i | ||||
\(928\) | 3.32114e9 | − | 5.75238e9i | 0.136417 | − | 0.236282i | ||||
\(929\) | 2.53239e9 | − | 4.38623e9i | 0.103628 | − | 0.179488i | −0.809549 | − | 0.587052i | \(-0.800288\pi\) |
0.913177 | + | 0.407564i | \(0.133622\pi\) | |||||||
\(930\) | −2.37489e10 | −0.968172 | ||||||||
\(931\) | −5.30083e9 | + | 2.33157e10i | −0.215288 | + | 0.946945i | ||||
\(932\) | 1.00008e10 | 0.404648 | ||||||||
\(933\) | 1.30129e10 | − | 2.25389e10i | 0.524550 | − | 0.908547i | ||||
\(934\) | 1.32371e10 | − | 2.29274e10i | 0.531594 | − | 0.920748i | ||||
\(935\) | −3.67045e10 | − | 6.35741e10i | −1.46852 | − | 2.54355i | ||||
\(936\) | −1.08639e9 | + | 1.88169e9i | −0.0433034 | + | 0.0750036i | ||||
\(937\) | 4.29832e9 | + | 7.44491e9i | 0.170691 | + | 0.295645i | 0.938662 | − | 0.344840i | \(-0.112067\pi\) |
−0.767971 | + | 0.640485i | \(0.778733\pi\) | |||||||
\(938\) | −3.98909e9 | −0.157821 | ||||||||
\(939\) | −1.46899e10 | −0.579013 | ||||||||
\(940\) | −7.27984e8 | − | 1.26090e9i | −0.0285874 | − | 0.0495148i | ||||
\(941\) | 1.44513e10 | + | 2.50304e10i | 0.565383 | + | 0.979273i | 0.997014 | + | 0.0772222i | \(0.0246051\pi\) |
−0.431631 | + | 0.902050i | \(0.642062\pi\) | |||||||
\(942\) | 2.93029e10 | 1.14218 | ||||||||
\(943\) | −3.19573e10 | −1.24102 | ||||||||
\(944\) | 3.33903e9 | + | 5.78337e9i | 0.129187 | + | 0.223758i | ||||
\(945\) | −4.65131e9 | + | 8.05630e9i | −0.179293 | + | 0.310545i | ||||
\(946\) | 5.73639e9 | + | 9.93572e9i | 0.220303 | + | 0.381575i | ||||
\(947\) | −5.87376e9 | + | 1.01737e10i | −0.224746 | + | 0.389271i | −0.956243 | − | 0.292573i | \(-0.905489\pi\) |
0.731497 | + | 0.681844i | \(0.238822\pi\) | |||||||
\(948\) | −7.99993e8 | + | 1.38563e9i | −0.0304970 | + | 0.0528223i | ||||
\(949\) | 1.57687e10 | 0.598912 | ||||||||
\(950\) | 1.16801e10 | − | 5.13749e10i | 0.441991 | − | 1.94410i | ||||
\(951\) | 2.13073e10 | 0.803335 | ||||||||
\(952\) | −1.27747e9 | + | 2.21264e9i | −0.0479868 | + | 0.0831156i | ||||
\(953\) | 1.03182e10 | − | 1.78716e10i | 0.386170 | − | 0.668866i | −0.605761 | − | 0.795647i | \(-0.707131\pi\) |
0.991931 | + | 0.126781i | \(0.0404644\pi\) | |||||||
\(954\) | −6.66187e8 | − | 1.15387e9i | −0.0248414 | − | 0.0430266i | ||||
\(955\) | 1.78992e10 | − | 3.10024e10i | 0.665002 | − | 1.15182i | ||||
\(956\) | 4.52185e8 | + | 7.83208e8i | 0.0167384 | + | 0.0289918i | ||||
\(957\) | 3.45334e10 | 1.27364 | ||||||||
\(958\) | 7.47703e9 | 0.274758 | ||||||||
\(959\) | 1.46778e9 | + | 2.54227e9i | 0.0537399 | + | 0.0930802i | ||||
\(960\) | −2.93647e9 | − | 5.08612e9i | −0.107121 | − | 0.185540i | ||||
\(961\) | −9.95463e9 | −0.361820 | ||||||||
\(962\) | −6.29813e9 | −0.228086 | ||||||||
\(963\) | 1.45321e9 | + | 2.51703e9i | 0.0524368 | + | 0.0908233i | ||||
\(964\) | 1.08721e10 | − | 1.88311e10i | 0.390881 | − | 0.677026i | ||||
\(965\) | 2.63697e9 | + | 4.56737e9i | 0.0944625 | + | 0.163614i | ||||
\(966\) | −1.62764e9 | + | 2.81916e9i | −0.0580950 | + | 0.100623i | ||||
\(967\) | 1.99451e10 | − | 3.45460e10i | 0.709324 | − | 1.22858i | −0.255785 | − | 0.966734i | \(-0.582334\pi\) |
0.965108 | − | 0.261851i | \(-0.0843328\pi\) | |||||||
\(968\) | −1.14290e9 | −0.0404992 | ||||||||
\(969\) | 3.78963e10 | − | 1.17247e10i | 1.33802 | − | 0.413970i | ||||
\(970\) | 3.21760e10 | 1.13196 | ||||||||
\(971\) | −1.57109e10 | + | 2.72122e10i | −0.550725 | + | 0.953884i | 0.447497 | + | 0.894285i | \(0.352315\pi\) |
−0.998222 | + | 0.0595987i | \(0.981018\pi\) | |||||||
\(972\) | −3.23346e9 | + | 5.60052e9i | −0.112937 | + | 0.195612i | ||||
\(973\) | −4.32542e9 | − | 7.49186e9i | −0.150534 | − | 0.260732i | ||||
\(974\) | −7.45838e9 | + | 1.29183e10i | −0.258636 | + | 0.447970i | ||||
\(975\) | 3.79600e10 | + | 6.57487e10i | 1.31163 | + | 2.27180i | ||||
\(976\) | 1.06696e8 | 0.00367344 | ||||||||
\(977\) | 5.45569e10 | 1.87163 | 0.935813 | − | 0.352498i | \(-0.114668\pi\) | ||||
0.935813 | + | 0.352498i | \(0.114668\pi\) | |||||||
\(978\) | −5.71977e9 | − | 9.90694e9i | −0.195521 | − | 0.338652i | ||||
\(979\) | −6.98593e9 | − | 1.21000e10i | −0.237950 | − | 0.412141i | ||||
\(980\) | −2.79598e10 | −0.948950 | ||||||||
\(981\) | 4.73720e9 | 0.160206 | ||||||||
\(982\) | −2.00176e10 | − | 3.46715e10i | −0.674562 | − | 1.16838i | ||||
\(983\) | −2.09090e9 | + | 3.62155e9i | −0.0702096 | + | 0.121607i | −0.898993 | − | 0.437963i | \(-0.855700\pi\) |
0.828783 | + | 0.559569i | \(0.189033\pi\) | |||||||
\(984\) | −5.21629e9 | − | 9.03487e9i | −0.174533 | − | 0.302301i | ||||
\(985\) | −1.46264e10 | + | 2.53337e10i | −0.487654 | + | 0.844642i | ||||
\(986\) | −2.62313e10 | + | 4.54340e10i | −0.871468 | + | 1.50943i | ||||
\(987\) | −2.63454e8 | −0.00872158 | ||||||||
\(988\) | −1.17969e10 | − | 1.09273e10i | −0.389152 | − | 0.360466i | ||||
\(989\) | −2.22069e10 | −0.729962 | ||||||||
\(990\) | −4.58342e9 | + | 7.93871e9i | −0.150130 | + | 0.260032i | ||||
\(991\) | 1.84764e10 | − | 3.20020e10i | 0.603058 | − | 1.04453i | −0.389297 | − | 0.921112i | \(-0.627282\pi\) |
0.992355 | − | 0.123415i | \(-0.0393846\pi\) | |||||||
\(992\) | 2.17099e9 | + | 3.76026e9i | 0.0706100 | + | 0.122300i | ||||
\(993\) | −2.04779e10 | + | 3.54688e10i | −0.663688 | + | 1.14954i | ||||
\(994\) | −1.01118e9 | − | 1.75142e9i | −0.0326571 | − | 0.0565638i | ||||
\(995\) | −4.93740e10 | −1.58898 | ||||||||
\(996\) | −7.34553e9 | −0.235567 | ||||||||
\(997\) | −7.50719e9 | − | 1.30028e10i | −0.239908 | − | 0.415532i | 0.720780 | − | 0.693164i | \(-0.243784\pi\) |
−0.960688 | + | 0.277632i | \(0.910451\pi\) | |||||||
\(998\) | 1.70635e10 | + | 2.95548e10i | 0.543389 | + | 0.941177i | ||||
\(999\) | −1.03427e10 | −0.328213 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 38.8.c.a.11.2 | yes | 12 | |
19.7 | even | 3 | inner | 38.8.c.a.7.2 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.8.c.a.7.2 | ✓ | 12 | 19.7 | even | 3 | inner | |
38.8.c.a.11.2 | yes | 12 | 1.1 | even | 1 | trivial |