Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,7,Mod(3,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.22075717068\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 285x^{6} + 282x^{5} + 62091x^{4} + 29260x^{3} + 4838750x^{2} + 2401000x + 294122500 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Root | \(-4.86132 - 8.42006i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.5 |
Dual form | 14.7.d.a.3.2 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.82843 | + | 4.89898i | −0.353553 | + | 0.612372i | ||||
\(3\) | 27.6101 | − | 15.9407i | 1.02260 | − | 0.590397i | 0.107742 | − | 0.994179i | \(-0.465638\pi\) |
0.914855 | + | 0.403782i | \(0.132305\pi\) | |||||||
\(4\) | −16.0000 | − | 27.7128i | −0.250000 | − | 0.433013i | ||||
\(5\) | 111.836 | + | 64.5687i | 0.894691 | + | 0.516550i | 0.875474 | − | 0.483265i | \(-0.160549\pi\) |
0.0192168 | + | 0.999815i | \(0.493883\pi\) | |||||||
\(6\) | 180.349i | 0.834947i | ||||||||
\(7\) | 298.743 | + | 168.528i | 0.870971 | + | 0.491335i | ||||
\(8\) | 181.019 | 0.353553 | ||||||||
\(9\) | 143.713 | − | 248.917i | 0.197136 | − | 0.341450i | ||||
\(10\) | −632.642 | + | 365.256i | −0.632642 | + | 0.365256i | ||||
\(11\) | −1189.23 | − | 2059.81i | −0.893487 | − | 1.54756i | −0.835666 | − | 0.549237i | \(-0.814918\pi\) |
−0.0578204 | − | 0.998327i | \(-0.518415\pi\) | |||||||
\(12\) | −883.524 | − | 510.103i | −0.511299 | − | 0.295198i | ||||
\(13\) | 820.701i | 0.373555i | 0.982402 | + | 0.186778i | \(0.0598044\pi\) | ||||
−0.982402 | + | 0.186778i | \(0.940196\pi\) | |||||||
\(14\) | −1670.59 | + | 986.866i | −0.608815 | + | 0.359645i | ||||
\(15\) | 4117.09 | 1.21988 | ||||||||
\(16\) | −512.000 | + | 886.810i | −0.125000 | + | 0.216506i | ||||
\(17\) | −2284.02 | + | 1318.68i | −0.464894 | + | 0.268406i | −0.714100 | − | 0.700044i | \(-0.753164\pi\) |
0.249206 | + | 0.968450i | \(0.419830\pi\) | |||||||
\(18\) | 812.961 | + | 1408.09i | 0.139397 | + | 0.241442i | ||||
\(19\) | −4814.93 | − | 2779.90i | −0.701987 | − | 0.405292i | 0.106100 | − | 0.994355i | \(-0.466164\pi\) |
−0.808087 | + | 0.589063i | \(0.799497\pi\) | |||||||
\(20\) | − | 4132.40i | − | 0.516550i | ||||||
\(21\) | 10934.8 | − | 109.096i | 1.18073 | − | 0.0117801i | ||||
\(22\) | 13454.6 | 1.26358 | ||||||||
\(23\) | −5696.37 | + | 9866.40i | −0.468182 | + | 0.810914i | −0.999339 | − | 0.0363589i | \(-0.988424\pi\) |
0.531157 | + | 0.847273i | \(0.321757\pi\) | |||||||
\(24\) | 4997.97 | − | 2885.58i | 0.361543 | − | 0.208737i | ||||
\(25\) | 525.743 | + | 910.614i | 0.0336476 | + | 0.0582793i | ||||
\(26\) | −4020.60 | − | 2321.29i | −0.228755 | − | 0.132072i | ||||
\(27\) | 14078.0i | 0.715238i | ||||||||
\(28\) | −109.502 | − | 10975.5i | −0.00498823 | − | 0.499975i | ||||
\(29\) | −32822.6 | −1.34579 | −0.672897 | − | 0.739736i | \(-0.734950\pi\) | ||||
−0.672897 | + | 0.739736i | \(0.734950\pi\) | |||||||
\(30\) | −11644.9 | + | 20169.5i | −0.431292 | + | 0.747019i | ||||
\(31\) | 40622.4 | − | 23453.4i | 1.36358 | − | 0.787263i | 0.373481 | − | 0.927638i | \(-0.378164\pi\) |
0.990098 | + | 0.140375i | \(0.0448308\pi\) | |||||||
\(32\) | −2896.31 | − | 5016.55i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −65669.6 | − | 37914.4i | −1.82735 | − | 1.05502i | ||||
\(34\) | − | 14919.2i | − | 0.379584i | ||||||
\(35\) | 22528.7 | + | 38137.0i | 0.525450 | + | 0.889493i | ||||
\(36\) | −9197.60 | −0.197136 | ||||||||
\(37\) | −10862.8 | + | 18814.9i | −0.214454 | + | 0.371446i | −0.953104 | − | 0.302644i | \(-0.902131\pi\) |
0.738649 | + | 0.674090i | \(0.235464\pi\) | |||||||
\(38\) | 27237.3 | − | 15725.5i | 0.496380 | − | 0.286585i | ||||
\(39\) | 13082.5 | + | 22659.6i | 0.220546 | + | 0.381996i | ||||
\(40\) | 20244.5 | + | 11688.2i | 0.316321 | + | 0.182628i | ||||
\(41\) | − | 85846.0i | − | 1.24557i | −0.782392 | − | 0.622786i | \(-0.786001\pi\) | ||
0.782392 | − | 0.622786i | \(-0.213999\pi\) | |||||||
\(42\) | −30393.8 | + | 53877.8i | −0.410239 | + | 0.727214i | ||||
\(43\) | 113977. | 1.43355 | 0.716774 | − | 0.697305i | \(-0.245618\pi\) | ||||
0.716774 | + | 0.697305i | \(0.245618\pi\) | |||||||
\(44\) | −38055.4 | + | 65913.9i | −0.446743 | + | 0.773782i | ||||
\(45\) | 32144.6 | − | 18558.7i | 0.352752 | − | 0.203662i | ||||
\(46\) | −32223.5 | − | 55812.8i | −0.331054 | − | 0.573403i | ||||
\(47\) | 33367.3 | + | 19264.6i | 0.321387 | + | 0.185553i | 0.652011 | − | 0.758210i | \(-0.273926\pi\) |
−0.330624 | + | 0.943763i | \(0.607259\pi\) | |||||||
\(48\) | 32646.6i | 0.295198i | ||||||||
\(49\) | 60845.6 | + | 100693.i | 0.517179 | + | 0.855877i | ||||
\(50\) | −5948.11 | −0.0475849 | ||||||||
\(51\) | −42041.4 | + | 72817.9i | −0.316932 | + | 0.548943i | ||||
\(52\) | 22743.9 | − | 13131.2i | 0.161754 | − | 0.0933888i | ||||
\(53\) | −16620.4 | − | 28787.3i | −0.111638 | − | 0.193363i | 0.804793 | − | 0.593556i | \(-0.202276\pi\) |
−0.916431 | + | 0.400193i | \(0.868943\pi\) | |||||||
\(54\) | −68968.0 | − | 39818.7i | −0.437992 | − | 0.252875i | ||||
\(55\) | − | 307149.i | − | 1.84612i | ||||||
\(56\) | 54078.2 | + | 30506.8i | 0.307935 | + | 0.173713i | ||||
\(57\) | −177254. | −0.957133 | ||||||||
\(58\) | 92836.2 | − | 160797.i | 0.475810 | − | 0.824127i | ||||
\(59\) | −289901. | + | 167374.i | −1.41154 | + | 0.814953i | −0.995534 | − | 0.0944082i | \(-0.969904\pi\) |
−0.416007 | + | 0.909361i | \(0.636571\pi\) | |||||||
\(60\) | −65873.4 | − | 114096.i | −0.304969 | − | 0.528222i | ||||
\(61\) | −145845. | − | 84203.9i | −0.642544 | − | 0.370973i | 0.143050 | − | 0.989716i | \(-0.454309\pi\) |
−0.785594 | + | 0.618742i | \(0.787642\pi\) | |||||||
\(62\) | 265344.i | 1.11336i | ||||||||
\(63\) | 84882.6 | − | 50142.7i | 0.339467 | − | 0.200533i | ||||
\(64\) | 32768.0 | 0.125000 | ||||||||
\(65\) | −52991.6 | + | 91784.1i | −0.192960 | + | 0.334216i | ||||
\(66\) | 371483. | − | 214476.i | 1.29213 | − | 0.746014i | ||||
\(67\) | 161261. | + | 279312.i | 0.536173 | + | 0.928679i | 0.999106 | + | 0.0422855i | \(0.0134639\pi\) |
−0.462932 | + | 0.886394i | \(0.653203\pi\) | |||||||
\(68\) | 73088.7 | + | 42197.8i | 0.232447 | + | 0.134203i | ||||
\(69\) | 363217.i | 1.10565i | ||||||||
\(70\) | −250553. | + | 2499.76i | −0.730476 | + | 0.00728793i | ||||
\(71\) | 325510. | 0.909473 | 0.454737 | − | 0.890626i | \(-0.349733\pi\) | ||||
0.454737 | + | 0.890626i | \(0.349733\pi\) | |||||||
\(72\) | 26014.7 | − | 45058.9i | 0.0696983 | − | 0.120721i | ||||
\(73\) | 93404.3 | − | 53927.0i | 0.240103 | − | 0.138624i | −0.375121 | − | 0.926976i | \(-0.622399\pi\) |
0.615224 | + | 0.788352i | \(0.289065\pi\) | |||||||
\(74\) | −61449.1 | − | 106433.i | −0.151642 | − | 0.262652i | ||||
\(75\) | 29031.7 | + | 16761.4i | 0.0688158 | + | 0.0397308i | ||||
\(76\) | 177914.i | 0.405292i | ||||||||
\(77\) | −8138.93 | − | 815772.i | −0.0178277 | − | 1.78688i | ||||
\(78\) | −148012. | −0.311899 | ||||||||
\(79\) | 169525. | − | 293625.i | 0.343836 | − | 0.595542i | −0.641305 | − | 0.767286i | \(-0.721607\pi\) |
0.985142 | + | 0.171744i | \(0.0549402\pi\) | |||||||
\(80\) | −114520. | + | 66118.4i | −0.223673 | + | 0.129137i | ||||
\(81\) | 329180. | + | 570157.i | 0.619411 | + | 1.07285i | ||||
\(82\) | 420558. | + | 242809.i | 0.762754 | + | 0.440376i | ||||
\(83\) | − | 224674.i | − | 0.392934i | −0.980510 | − | 0.196467i | \(-0.937053\pi\) | ||
0.980510 | − | 0.196467i | \(-0.0629468\pi\) | |||||||
\(84\) | −177980. | − | 301288.i | −0.300285 | − | 0.508328i | ||||
\(85\) | −340582. | −0.554581 | ||||||||
\(86\) | −322376. | + | 558372.i | −0.506836 | + | 0.877866i | ||||
\(87\) | −906235. | + | 523215.i | −1.37620 | + | 0.794552i | ||||
\(88\) | −215274. | − | 372865.i | −0.315895 | − | 0.547147i | ||||
\(89\) | 331888. | + | 191615.i | 0.470783 | + | 0.271807i | 0.716568 | − | 0.697518i | \(-0.245712\pi\) |
−0.245784 | + | 0.969325i | \(0.579045\pi\) | |||||||
\(90\) | 209967.i | 0.288021i | ||||||||
\(91\) | −138311. | + | 245178.i | −0.183541 | + | 0.325355i | ||||
\(92\) | 364567. | 0.468182 | ||||||||
\(93\) | 747726. | − | 1.29510e6i | 0.929595 | − | 1.61011i | ||||
\(94\) | −188754. | + | 108977.i | −0.227255 | + | 0.131206i | ||||
\(95\) | −358989. | − | 621787.i | −0.418707 | − | 0.725222i | ||||
\(96\) | −159935. | − | 92338.5i | −0.180771 | − | 0.104368i | ||||
\(97\) | 32664.1i | 0.0357895i | 0.999840 | + | 0.0178948i | \(0.00569638\pi\) | ||||
−0.999840 | + | 0.0178948i | \(0.994304\pi\) | |||||||
\(98\) | −665391. | + | 13278.5i | −0.706966 | + | 0.0141082i | ||||
\(99\) | −683629. | −0.704555 | ||||||||
\(100\) | 16823.8 | − | 29139.7i | 0.0168238 | − | 0.0291397i | ||||
\(101\) | −433003. | + | 249994.i | −0.420268 | + | 0.242642i | −0.695192 | − | 0.718824i | \(-0.744681\pi\) |
0.274924 | + | 0.961466i | \(0.411347\pi\) | |||||||
\(102\) | −237822. | − | 411920.i | −0.224105 | − | 0.388161i | ||||
\(103\) | 386249. | + | 223001.i | 0.353472 | + | 0.204077i | 0.666214 | − | 0.745761i | \(-0.267914\pi\) |
−0.312741 | + | 0.949838i | \(0.601247\pi\) | |||||||
\(104\) | 148563.i | 0.132072i | ||||||||
\(105\) | 1.22995e6 | + | 693844.i | 1.06248 | + | 0.599369i | ||||
\(106\) | 188038. | 0.157880 | ||||||||
\(107\) | 944735. | − | 1.63633e6i | 0.771186 | − | 1.33573i | −0.165728 | − | 0.986171i | \(-0.552997\pi\) |
0.936914 | − | 0.349561i | \(-0.113669\pi\) | |||||||
\(108\) | 390142. | − | 225249.i | 0.309707 | − | 0.178810i | ||||
\(109\) | 960930. | + | 1.66438e6i | 0.742014 | + | 1.28521i | 0.951577 | + | 0.307411i | \(0.0994626\pi\) |
−0.209563 | + | 0.977795i | \(0.567204\pi\) | |||||||
\(110\) | 1.50471e6 | + | 868747.i | 1.13051 | + | 0.652703i | ||||
\(111\) | 692640.i | 0.506453i | ||||||||
\(112\) | −302409. | + | 178642.i | −0.215249 | + | 0.127154i | ||||
\(113\) | −472481. | −0.327453 | −0.163726 | − | 0.986506i | \(-0.552351\pi\) | ||||
−0.163726 | + | 0.986506i | \(0.552351\pi\) | |||||||
\(114\) | 501351. | − | 868365.i | 0.338398 | − | 0.586122i | ||||
\(115\) | −1.27412e6 | + | 735614.i | −0.837756 | + | 0.483678i | ||||
\(116\) | 525161. | + | 909605.i | 0.336448 | + | 0.582746i | ||||
\(117\) | 204287. | + | 117945.i | 0.127551 | + | 0.0736413i | ||||
\(118\) | − | 1.89362e6i | − | 1.15252i | ||||||
\(119\) | −904570. | + | 9024.86i | −0.536786 | + | 0.00535550i | ||||
\(120\) | 745272. | 0.431292 | ||||||||
\(121\) | −1.94276e6 | + | 3.36496e6i | −1.09664 | + | 1.89943i | ||||
\(122\) | 825026. | − | 476329.i | 0.454347 | − | 0.262318i | ||||
\(123\) | −1.36845e6 | − | 2.37022e6i | −0.735381 | − | 1.27372i | ||||
\(124\) | −1.29992e6 | − | 750507.i | −0.681790 | − | 0.393631i | ||||
\(125\) | − | 1.88199e6i | − | 0.963577i | ||||||
\(126\) | 5563.79 | + | 557663.i | 0.00278137 | + | 0.278779i | ||||
\(127\) | −632211. | −0.308639 | −0.154319 | − | 0.988021i | \(-0.549319\pi\) | ||||
−0.154319 | + | 0.988021i | \(0.549319\pi\) | |||||||
\(128\) | −92681.9 | + | 160530.i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 3.14692e6 | − | 1.81688e6i | 1.46594 | − | 0.846362i | ||||
\(130\) | −299766. | − | 519209.i | −0.136443 | − | 0.236327i | ||||
\(131\) | 111928. | + | 64621.5i | 0.0497879 | + | 0.0287451i | 0.524687 | − | 0.851295i | \(-0.324182\pi\) |
−0.474899 | + | 0.880040i | \(0.657516\pi\) | |||||||
\(132\) | 2.42652e6i | 1.05502i | ||||||||
\(133\) | −969934. | − | 1.64193e6i | −0.412275 | − | 0.697908i | ||||
\(134\) | −1.82446e6 | −0.758263 | ||||||||
\(135\) | −909001. | + | 1.57444e6i | −0.369456 | + | 0.639917i | ||||
\(136\) | −413452. | + | 238707.i | −0.164365 | + | 0.0948960i | ||||
\(137\) | 798004. | + | 1.38218e6i | 0.310344 | + | 0.537532i | 0.978437 | − | 0.206546i | \(-0.0662224\pi\) |
−0.668093 | + | 0.744078i | \(0.732889\pi\) | |||||||
\(138\) | −1.77939e6 | − | 1.02733e6i | −0.677071 | − | 0.390907i | ||||
\(139\) | − | 688428.i | − | 0.256339i | −0.991752 | − | 0.128169i | \(-0.959090\pi\) | ||
0.991752 | − | 0.128169i | \(-0.0409101\pi\) | |||||||
\(140\) | 696425. | − | 1.23452e6i | 0.253799 | − | 0.449900i | ||||
\(141\) | 1.22837e6 | 0.438199 | ||||||||
\(142\) | −920683. | + | 1.59467e6i | −0.321547 | + | 0.556936i | ||||
\(143\) | 1.69049e6 | − | 976002.i | 0.578101 | − | 0.333767i | ||||
\(144\) | 147162. | + | 254891.i | 0.0492841 | + | 0.0853626i | ||||
\(145\) | −3.67075e6 | − | 2.11931e6i | −1.20407 | − | 0.695170i | ||||
\(146\) | 610114.i | 0.196044i | ||||||||
\(147\) | 3.28507e6 | + | 1.81023e6i | 1.03417 | + | 0.569876i | ||||
\(148\) | 695217. | 0.214454 | ||||||||
\(149\) | −316745. | + | 548619.i | −0.0957527 | + | 0.165849i | −0.909923 | − | 0.414778i | \(-0.863859\pi\) |
0.814170 | + | 0.580627i | \(0.197192\pi\) | |||||||
\(150\) | −164228. | + | 94817.1i | −0.0486601 | + | 0.0280939i | ||||
\(151\) | 1.24696e6 | + | 2.15980e6i | 0.362178 | + | 0.627311i | 0.988319 | − | 0.152399i | \(-0.0486999\pi\) |
−0.626141 | + | 0.779710i | \(0.715367\pi\) | |||||||
\(152\) | −871595. | − | 503216.i | −0.248190 | − | 0.143292i | ||||
\(153\) | 758044.i | 0.211651i | ||||||||
\(154\) | 4.01947e6 | + | 2.26748e6i | 1.10054 | + | 0.620842i | ||||
\(155\) | 6.05741e6 | 1.62664 | ||||||||
\(156\) | 418642. | − | 725109.i | 0.110273 | − | 0.190998i | ||||
\(157\) | 2.23038e6 | − | 1.28771e6i | 0.576342 | − | 0.332751i | −0.183336 | − | 0.983050i | \(-0.558690\pi\) |
0.759678 | + | 0.650299i | \(0.225356\pi\) | |||||||
\(158\) | 958976. | + | 1.66100e6i | 0.243129 | + | 0.421112i | ||||
\(159\) | −917781. | − | 529881.i | −0.228322 | − | 0.131822i | ||||
\(160\) | − | 748044.i | − | 0.182628i | ||||||
\(161\) | −3.36451e6 | + | 1.98752e6i | −0.806203 | + | 0.476248i | ||||
\(162\) | −3.72425e6 | −0.875979 | ||||||||
\(163\) | 437858. | − | 758391.i | 0.101104 | − | 0.175118i | −0.811036 | − | 0.584997i | \(-0.801096\pi\) |
0.912140 | + | 0.409879i | \(0.134429\pi\) | |||||||
\(164\) | −2.37904e6 | + | 1.37354e6i | −0.539348 | + | 0.311393i | ||||
\(165\) | −4.89617e6 | − | 8.48041e6i | −1.08994 | − | 1.88784i | ||||
\(166\) | 1.10068e6 | + | 635475.i | 0.240622 | + | 0.138923i | ||||
\(167\) | 4.20699e6i | 0.903280i | 0.892200 | + | 0.451640i | \(0.149161\pi\) | ||||
−0.892200 | + | 0.451640i | \(0.850839\pi\) | |||||||
\(168\) | 1.97941e6 | − | 19748.5i | 0.417453 | − | 0.00416491i | ||||
\(169\) | 4.15326e6 | 0.860457 | ||||||||
\(170\) | 963312. | − | 1.66851e6i | 0.196074 | − | 0.339610i | ||||
\(171\) | −1.38393e6 | + | 799013.i | −0.276774 | + | 0.159796i | ||||
\(172\) | −1.82363e6 | − | 3.15863e6i | −0.358387 | − | 0.620745i | ||||
\(173\) | −3.28647e6 | − | 1.89744e6i | −0.634732 | − | 0.366463i | 0.147850 | − | 0.989010i | \(-0.452765\pi\) |
−0.782583 | + | 0.622547i | \(0.786098\pi\) | |||||||
\(174\) | − | 5.91950e6i | − | 1.12367i | ||||||
\(175\) | 3598.11 | + | 360642.i | 0.000671368 | + | 0.0672918i | ||||
\(176\) | 2.43554e6 | 0.446743 | ||||||||
\(177\) | −5.33613e6 | + | 9.24245e6i | −0.962291 | + | 1.66674i | ||||
\(178\) | −1.87744e6 | + | 1.08394e6i | −0.332894 | + | 0.192196i | ||||
\(179\) | −662601. | − | 1.14766e6i | −0.115530 | − | 0.200103i | 0.802462 | − | 0.596704i | \(-0.203523\pi\) |
−0.917991 | + | 0.396600i | \(0.870190\pi\) | |||||||
\(180\) | −1.02863e6 | − | 593877.i | −0.176376 | − | 0.101831i | ||||
\(181\) | − | 4.90685e6i | − | 0.827499i | −0.910391 | − | 0.413749i | \(-0.864219\pi\) | ||
0.910391 | − | 0.413749i | \(-0.135781\pi\) | |||||||
\(182\) | −809922. | − | 1.37105e6i | −0.134347 | − | 0.227426i | ||||
\(183\) | −5.36908e6 | −0.876085 | ||||||||
\(184\) | −1.03115e6 | + | 1.78601e6i | −0.165527 | + | 0.286702i | ||||
\(185\) | −2.42970e6 | + | 1.40279e6i | −0.383741 | + | 0.221553i | ||||
\(186\) | 4.22978e6 | + | 7.32619e6i | 0.657323 | + | 1.13852i | ||||
\(187\) | 5.43246e6 | + | 3.13643e6i | 0.830752 | + | 0.479635i | ||||
\(188\) | − | 1.23294e6i | − | 0.185553i | ||||||
\(189\) | −2.37254e6 | + | 4.20571e6i | −0.351422 | + | 0.622952i | ||||
\(190\) | 4.06150e6 | 0.592142 | ||||||||
\(191\) | 3.15391e6 | − | 5.46273e6i | 0.452636 | − | 0.783989i | −0.545913 | − | 0.837842i | \(-0.683817\pi\) |
0.998549 | + | 0.0538534i | \(0.0171504\pi\) | |||||||
\(192\) | 904728. | − | 522345.i | 0.127825 | − | 0.0737996i | ||||
\(193\) | −437455. | − | 757694.i | −0.0608501 | − | 0.105395i | 0.833996 | − | 0.551771i | \(-0.186048\pi\) |
−0.894846 | + | 0.446376i | \(0.852714\pi\) | |||||||
\(194\) | −160021. | − | 92388.1i | −0.0219165 | − | 0.0126535i | ||||
\(195\) | 3.37889e6i | 0.455691i | ||||||||
\(196\) | 1.81696e6 | − | 3.29729e6i | 0.241311 | − | 0.437914i | ||||
\(197\) | −6.85421e6 | −0.896518 | −0.448259 | − | 0.893904i | \(-0.647956\pi\) | ||||
−0.448259 | + | 0.893904i | \(0.647956\pi\) | |||||||
\(198\) | 1.93360e6 | − | 3.34909e6i | 0.249098 | − | 0.431450i | ||||
\(199\) | 8.24491e6 | − | 4.76020e6i | 1.04623 | − | 0.604040i | 0.124637 | − | 0.992202i | \(-0.460223\pi\) |
0.921591 | + | 0.388162i | \(0.126890\pi\) | |||||||
\(200\) | 95169.7 | + | 164839.i | 0.0118962 | + | 0.0206048i | ||||
\(201\) | 8.90487e6 | + | 5.14123e6i | 1.09658 | + | 0.633110i | ||||
\(202\) | − | 2.82836e6i | − | 0.343148i | ||||||
\(203\) | −9.80551e6 | − | 5.53152e6i | −1.17215 | − | 0.661236i | ||||
\(204\) | 2.69065e6 | 0.316932 | ||||||||
\(205\) | 5.54297e6 | − | 9.60071e6i | 0.643400 | − | 1.11440i | ||||
\(206\) | −2.18495e6 | + | 1.26148e6i | −0.249943 | + | 0.144305i | ||||
\(207\) | 1.63728e6 | + | 2.83585e6i | 0.184591 | + | 0.319722i | ||||
\(208\) | −727805. | − | 420199.i | −0.0808770 | − | 0.0466944i | ||||
\(209\) | 1.32238e7i | 1.44849i | ||||||||
\(210\) | −6.87795e6 | + | 4.06301e6i | −0.742679 | + | 0.438723i | ||||
\(211\) | −1.02482e7 | −1.09094 | −0.545469 | − | 0.838131i | \(-0.683649\pi\) | ||||
−0.545469 | + | 0.838131i | \(0.683649\pi\) | |||||||
\(212\) | −531852. | + | 921195.i | −0.0558191 | + | 0.0966816i | ||||
\(213\) | 8.98738e6 | − | 5.18887e6i | 0.930025 | − | 0.536950i | ||||
\(214\) | 5.34423e6 | + | 9.25648e6i | 0.545311 | + | 0.944506i | ||||
\(215\) | 1.27468e7 | + | 7.35936e6i | 1.28258 | + | 0.740499i | ||||
\(216\) | 2.54840e6i | 0.252875i | ||||||||
\(217\) | 1.60882e7 | − | 160511.i | 1.57445 | − | 0.0157082i | ||||
\(218\) | −1.08717e7 | −1.04937 | ||||||||
\(219\) | 1.71927e6 | − | 2.97786e6i | 0.163686 | − | 0.283512i | ||||
\(220\) | −8.51195e6 | + | 4.91438e6i | −0.799394 | + | 0.461530i | ||||
\(221\) | −1.08224e6 | − | 1.87450e6i | −0.100265 | − | 0.173663i | ||||
\(222\) | −3.39323e6 | − | 1.95908e6i | −0.310138 | − | 0.179058i | ||||
\(223\) | 1.75966e6i | 0.158677i | 0.996848 | + | 0.0793385i | \(0.0252808\pi\) | ||||
−0.996848 | + | 0.0793385i | \(0.974719\pi\) | |||||||
\(224\) | −19821.9 | − | 1.98677e6i | −0.00176361 | − | 0.176768i | ||||
\(225\) | 302224. | 0.0265327 | ||||||||
\(226\) | 1.33638e6 | − | 2.31467e6i | 0.115772 | − | 0.200523i | ||||
\(227\) | −8.44566e6 | + | 4.87610e6i | −0.722031 | + | 0.416865i | −0.815500 | − | 0.578757i | \(-0.803538\pi\) |
0.0934685 | + | 0.995622i | \(0.470205\pi\) | |||||||
\(228\) | 2.83607e6 | + | 4.91221e6i | 0.239283 | + | 0.414451i | ||||
\(229\) | −1.75825e7 | − | 1.01513e7i | −1.46411 | − | 0.845306i | −0.464915 | − | 0.885355i | \(-0.653915\pi\) |
−0.999198 | + | 0.0400494i | \(0.987248\pi\) | |||||||
\(230\) | − | 8.32253e6i | − | 0.684025i | ||||||
\(231\) | −1.32287e7 | − | 2.23938e7i | −1.07320 | − | 1.81674i | ||||
\(232\) | −5.94152e6 | −0.475810 | ||||||||
\(233\) | 2.71453e6 | − | 4.70171e6i | 0.214599 | − | 0.371696i | −0.738550 | − | 0.674199i | \(-0.764489\pi\) |
0.953148 | + | 0.302503i | \(0.0978223\pi\) | |||||||
\(234\) | −1.15562e6 | + | 667197.i | −0.0901919 | + | 0.0520723i | ||||
\(235\) | 2.48779e6 | + | 4.30897e6i | 0.191694 | + | 0.332025i | ||||
\(236\) | 9.27682e6 | + | 5.35598e6i | 0.705770 | + | 0.407477i | ||||
\(237\) | − | 1.08094e7i | − | 0.811999i | ||||||
\(238\) | 2.51430e6 | − | 4.45700e6i | 0.186503 | − | 0.330606i | ||||
\(239\) | −920423. | −0.0674208 | −0.0337104 | − | 0.999432i | \(-0.510732\pi\) | ||||
−0.0337104 | + | 0.999432i | \(0.510732\pi\) | |||||||
\(240\) | −2.10795e6 | + | 3.65107e6i | −0.152485 | + | 0.264111i | ||||
\(241\) | −2.15894e7 | + | 1.24646e7i | −1.54237 | + | 0.890488i | −0.543681 | + | 0.839292i | \(0.682970\pi\) |
−0.998689 | + | 0.0511961i | \(0.983697\pi\) | |||||||
\(242\) | −1.09899e7 | − | 1.90351e7i | −0.775440 | − | 1.34310i | ||||
\(243\) | 9.28949e6 | + | 5.36329e6i | 0.647401 | + | 0.373777i | ||||
\(244\) | 5.38905e6i | 0.370973i | ||||||||
\(245\) | 303128. | + | 1.51899e7i | 0.0206124 | + | 1.03289i | ||||
\(246\) | 1.54822e7 | 1.03999 | ||||||||
\(247\) | 2.28146e6 | − | 3.95161e6i | 0.151399 | − | 0.262231i | ||||
\(248\) | 7.35344e6 | − | 4.24551e6i | 0.482098 | − | 0.278339i | ||||
\(249\) | −3.58147e6 | − | 6.20329e6i | −0.231987 | − | 0.401813i | ||||
\(250\) | 9.21981e6 | + | 5.32306e6i | 0.590068 | + | 0.340676i | ||||
\(251\) | 9.00977e6i | 0.569761i | 0.958563 | + | 0.284880i | \(0.0919539\pi\) | ||||
−0.958563 | + | 0.284880i | \(0.908046\pi\) | |||||||
\(252\) | −2.74772e6 | − | 1.55005e6i | −0.171700 | − | 0.0968601i | ||||
\(253\) | 2.70972e7 | 1.67326 | ||||||||
\(254\) | 1.78816e6 | − | 3.09719e6i | 0.109120 | − | 0.189002i | ||||
\(255\) | −9.40351e6 | + | 5.42912e6i | −0.567113 | + | 0.327423i | ||||
\(256\) | −524288. | − | 908093.i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 1.52035e7 | + | 8.77772e6i | 0.895659 | + | 0.517109i | 0.875789 | − | 0.482693i | \(-0.160341\pi\) |
0.0198699 | + | 0.999803i | \(0.493675\pi\) | |||||||
\(258\) | 2.05556e7i | 1.19694i | ||||||||
\(259\) | −6.41600e6 | + | 3.79012e6i | −0.369288 | + | 0.218149i | ||||
\(260\) | 3.39146e6 | 0.192960 | ||||||||
\(261\) | −4.71701e6 | + | 8.17011e6i | −0.265305 | + | 0.459522i | ||||
\(262\) | −633159. | + | 365555.i | −0.0352054 | + | 0.0203258i | ||||
\(263\) | 4.02078e6 | + | 6.96420e6i | 0.221026 | + | 0.382828i | 0.955120 | − | 0.296220i | \(-0.0957261\pi\) |
−0.734094 | + | 0.679048i | \(0.762393\pi\) | |||||||
\(264\) | −1.18875e7 | − | 6.86323e6i | −0.646067 | − | 0.373007i | ||||
\(265\) | − | 4.29263e6i | − | 0.230667i | ||||||
\(266\) | 1.07871e7 | − | 107623.i | 0.573141 | − | 0.00571821i | ||||
\(267\) | 1.22179e7 | 0.641895 | ||||||||
\(268\) | 5.16035e6 | − | 8.93799e6i | 0.268087 | − | 0.464340i | ||||
\(269\) | 1.41178e7 | − | 8.15090e6i | 0.725286 | − | 0.418744i | −0.0914090 | − | 0.995813i | \(-0.529137\pi\) |
0.816695 | + | 0.577069i | \(0.195804\pi\) | |||||||
\(270\) | −5.14209e6 | − | 8.90636e6i | −0.261245 | − | 0.452490i | ||||
\(271\) | −2.67932e7 | − | 1.54691e7i | −1.34622 | − | 0.777243i | −0.358511 | − | 0.933525i | \(-0.616716\pi\) |
−0.987712 | + | 0.156283i | \(0.950049\pi\) | |||||||
\(272\) | − | 2.70066e6i | − | 0.134203i | ||||||
\(273\) | 89535.1 | + | 8.97418e6i | 0.00440053 | + | 0.441069i | ||||
\(274\) | −9.02839e6 | −0.438893 | ||||||||
\(275\) | 1.25046e6 | − | 2.16586e6i | 0.0601273 | − | 0.104144i | ||||
\(276\) | 1.00658e7 | − | 5.81146e6i | 0.478761 | − | 0.276413i | ||||
\(277\) | 6.70800e6 | + | 1.16186e7i | 0.315612 | + | 0.546656i | 0.979567 | − | 0.201116i | \(-0.0644568\pi\) |
−0.663955 | + | 0.747772i | \(0.731123\pi\) | |||||||
\(278\) | 3.37260e6 | + | 1.94717e6i | 0.156975 | + | 0.0906295i | ||||
\(279\) | − | 1.34822e7i | − | 0.620793i | ||||||
\(280\) | 4.07812e6 | + | 6.90353e6i | 0.185775 | + | 0.314483i | ||||
\(281\) | −1.17351e6 | −0.0528895 | −0.0264447 | − | 0.999650i | \(-0.508419\pi\) | ||||
−0.0264447 | + | 0.999650i | \(0.508419\pi\) | |||||||
\(282\) | −3.47435e6 | + | 6.01775e6i | −0.154927 | + | 0.268341i | ||||
\(283\) | −2.44869e7 | + | 1.41375e7i | −1.08038 | + | 0.623756i | −0.930998 | − | 0.365024i | \(-0.881061\pi\) |
−0.149379 | + | 0.988780i | \(0.547727\pi\) | |||||||
\(284\) | −5.20817e6 | − | 9.02081e6i | −0.227368 | − | 0.393813i | ||||
\(285\) | −1.98235e7 | − | 1.14451e7i | −0.856338 | − | 0.494407i | ||||
\(286\) | 1.10422e7i | 0.472017i | ||||||||
\(287\) | 1.44675e7 | − | 2.56459e7i | 0.611993 | − | 1.08486i | ||||
\(288\) | −1.66494e6 | −0.0696983 | ||||||||
\(289\) | −8.59095e6 | + | 1.48800e7i | −0.355916 | + | 0.616465i | ||||
\(290\) | 2.07649e7 | − | 1.19886e7i | 0.851405 | − | 0.491559i | ||||
\(291\) | 520689. | + | 901860.i | 0.0211300 | + | 0.0365982i | ||||
\(292\) | −2.98894e6 | − | 1.72566e6i | −0.120052 | − | 0.0693119i | ||||
\(293\) | 5.58159e6i | 0.221899i | 0.993826 | + | 0.110949i | \(0.0353892\pi\) | ||||
−0.993826 | + | 0.110949i | \(0.964611\pi\) | |||||||
\(294\) | −1.81599e7 | + | 1.09734e7i | −0.714612 | + | 0.431817i | ||||
\(295\) | −4.32286e7 | −1.68386 | ||||||||
\(296\) | −1.96637e6 | + | 3.40585e6i | −0.0758211 | + | 0.131326i | ||||
\(297\) | 2.89981e7 | − | 1.67420e7i | 1.10688 | − | 0.639056i | ||||
\(298\) | −1.79178e6 | − | 3.10346e6i | −0.0677074 | − | 0.117273i | ||||
\(299\) | −8.09736e6 | − | 4.67501e6i | −0.302921 | − | 0.174892i | ||||
\(300\) | − | 1.07273e6i | − | 0.0397308i | ||||||
\(301\) | 3.40499e7 | + | 1.92083e7i | 1.24858 | + | 0.704353i | ||||
\(302\) | −1.41078e7 | −0.512197 | ||||||||
\(303\) | −7.97017e6 | + | 1.38047e7i | −0.286510 | + | 0.496250i | ||||
\(304\) | 4.93049e6 | − | 2.84662e6i | 0.175497 | − | 0.101323i | ||||
\(305\) | −1.08739e7 | − | 1.88341e7i | −0.383252 | − | 0.663812i | ||||
\(306\) | −3.71364e6 | − | 2.14407e6i | −0.129609 | − | 0.0748299i | ||||
\(307\) | − | 4.40807e7i | − | 1.52347i | −0.647891 | − | 0.761733i | \(-0.724349\pi\) | ||
0.647891 | − | 0.761733i | \(-0.275651\pi\) | |||||||
\(308\) | −2.24771e7 | + | 1.32779e7i | −0.769287 | + | 0.454441i | ||||
\(309\) | 1.42192e7 | 0.481946 | ||||||||
\(310\) | −1.71330e7 | + | 2.96751e7i | −0.575105 | + | 0.996111i | ||||
\(311\) | 2.44238e7 | − | 1.41011e7i | 0.811956 | − | 0.468783i | −0.0356786 | − | 0.999363i | \(-0.511359\pi\) |
0.847635 | + | 0.530580i | \(0.178026\pi\) | |||||||
\(312\) | 2.36819e6 | + | 4.10183e6i | 0.0779747 | + | 0.135056i | ||||
\(313\) | −5.13461e6 | − | 2.96447e6i | −0.167446 | − | 0.0966750i | 0.413935 | − | 0.910306i | \(-0.364154\pi\) |
−0.581381 | + | 0.813631i | \(0.697487\pi\) | |||||||
\(314\) | 1.45688e7i | 0.470581i | ||||||||
\(315\) | 1.27306e7 | − | 127013.i | 0.407303 | − | 0.00406365i | ||||
\(316\) | −1.08496e7 | −0.343836 | ||||||||
\(317\) | −2.26491e7 | + | 3.92294e7i | −0.711007 | + | 1.23150i | 0.253473 | + | 0.967342i | \(0.418427\pi\) |
−0.964480 | + | 0.264157i | \(0.914906\pi\) | |||||||
\(318\) | 5.19175e6 | − | 2.99746e6i | 0.161448 | − | 0.0932121i | ||||
\(319\) | 3.90336e7 | + | 6.76082e7i | 1.20245 | + | 2.08270i | ||||
\(320\) | 3.66465e6 | + | 2.11579e6i | 0.111836 | + | 0.0645687i | ||||
\(321\) | − | 6.02390e7i | − | 1.82122i | ||||||
\(322\) | −220533. | − | 2.21042e7i | −0.00660551 | − | 0.662076i | ||||
\(323\) | 1.46632e7 | 0.435132 | ||||||||
\(324\) | 1.05338e7 | − | 1.82450e7i | 0.309705 | − | 0.536426i | ||||
\(325\) | −747342. | + | 431478.i | −0.0217705 | + | 0.0125692i | ||||
\(326\) | 2.47690e6 | + | 4.29011e6i | 0.0714916 | + | 0.123827i | ||||
\(327\) | 5.30628e7 | + | 3.06358e7i | 1.51756 | + | 0.876165i | ||||
\(328\) | − | 1.55398e7i | − | 0.440376i | ||||||
\(329\) | 6.72162e6 | + | 1.13785e7i | 0.188750 | + | 0.319520i | ||||
\(330\) | 5.53938e7 | 1.54141 | ||||||||
\(331\) | 3.34507e7 | − | 5.79383e7i | 0.922404 | − | 1.59765i | 0.126719 | − | 0.991939i | \(-0.459555\pi\) |
0.795685 | − | 0.605711i | \(-0.207111\pi\) | |||||||
\(332\) | −6.22636e6 | + | 3.59479e6i | −0.170145 | + | 0.0982334i | ||||
\(333\) | 3.12223e6 | + | 5.40786e6i | 0.0845536 | + | 0.146451i | ||||
\(334\) | −2.06100e7 | − | 1.18992e7i | −0.553144 | − | 0.319358i | ||||
\(335\) | 4.16497e7i | 1.10784i | ||||||||
\(336\) | −5.50186e6 | + | 9.75293e6i | −0.145041 | + | 0.257109i | ||||
\(337\) | −3.67215e7 | −0.959469 | −0.479735 | − | 0.877414i | \(-0.659267\pi\) | ||||
−0.479735 | + | 0.877414i | \(0.659267\pi\) | |||||||
\(338\) | −1.17472e7 | + | 2.03467e7i | −0.304217 | + | 0.526920i | ||||
\(339\) | −1.30452e7 | + | 7.53168e6i | −0.334852 | + | 0.193327i | ||||
\(340\) | 5.44931e6 | + | 9.43849e6i | 0.138645 | + | 0.240141i | ||||
\(341\) | −9.66188e7 | − | 5.57829e7i | −2.43668 | − | 1.40682i | ||||
\(342\) | − | 9.03980e6i | − | 0.225985i | ||||||
\(343\) | 1.20760e6 | + | 4.03355e7i | 0.0299254 | + | 0.999552i | ||||
\(344\) | 2.06321e7 | 0.506836 | ||||||||
\(345\) | −2.34524e7 | + | 4.06208e7i | −0.571124 | + | 0.989216i | ||||
\(346\) | 1.85911e7 | − | 1.07336e7i | 0.448824 | − | 0.259128i | ||||
\(347\) | −3.31773e7 | − | 5.74648e7i | −0.794059 | − | 1.37535i | −0.923435 | − | 0.383756i | \(-0.874630\pi\) |
0.129375 | − | 0.991596i | \(-0.458703\pi\) | |||||||
\(348\) | 2.89995e7 | + | 1.67429e7i | 0.688102 | + | 0.397276i | ||||
\(349\) | − | 9.44163e6i | − | 0.222111i | −0.993814 | − | 0.111056i | \(-0.964577\pi\) | ||
0.993814 | − | 0.111056i | \(-0.0354232\pi\) | |||||||
\(350\) | −1.77695e6 | − | 1.00242e6i | −0.0414450 | − | 0.0233801i | ||||
\(351\) | −1.15539e7 | −0.267181 | ||||||||
\(352\) | −6.88876e6 | + | 1.19317e7i | −0.157948 | + | 0.273573i | ||||
\(353\) | 9.53150e6 | − | 5.50301e6i | 0.216689 | − | 0.125105i | −0.387727 | − | 0.921774i | \(-0.626740\pi\) |
0.604416 | + | 0.796669i | \(0.293406\pi\) | |||||||
\(354\) | −3.01857e7 | − | 5.22832e7i | −0.680443 | − | 1.17856i | ||||
\(355\) | 3.64039e7 | + | 2.10178e7i | 0.813697 | + | 0.469788i | ||||
\(356\) | − | 1.22634e7i | − | 0.271807i | ||||||
\(357\) | −2.48314e7 | + | 1.46687e7i | −0.545754 | + | 0.322393i | ||||
\(358\) | 7.49648e6 | 0.163384 | ||||||||
\(359\) | 2.73638e7 | − | 4.73954e7i | 0.591415 | − | 1.02436i | −0.402627 | − | 0.915364i | \(-0.631903\pi\) |
0.994042 | − | 0.108997i | \(-0.0347638\pi\) | |||||||
\(360\) | 5.81879e6 | − | 3.35948e6i | 0.124717 | − | 0.0720053i | ||||
\(361\) | −8.06726e6 | − | 1.39729e7i | −0.171476 | − | 0.297006i | ||||
\(362\) | 2.40386e7 | + | 1.38787e7i | 0.506737 | + | 0.292565i | ||||
\(363\) | 1.23876e8i | 2.58980i | ||||||||
\(364\) | 9.00756e6 | − | 89868.1i | 0.186768 | − | 0.00186338i | ||||
\(365\) | 1.39280e7 | 0.286424 | ||||||||
\(366\) | 1.51860e7 | − | 2.63030e7i | 0.309743 | − | 0.536490i | ||||
\(367\) | −8.26059e7 | + | 4.76926e7i | −1.67114 | + | 0.964834i | −0.704140 | + | 0.710061i | \(0.748667\pi\) |
−0.967001 | + | 0.254773i | \(0.917999\pi\) | |||||||
\(368\) | −5.83308e6 | − | 1.01032e7i | −0.117045 | − | 0.202729i | ||||
\(369\) | −2.13686e7 | − | 1.23371e7i | −0.425301 | − | 0.245548i | ||||
\(370\) | − | 1.58708e7i | − | 0.313323i | ||||||
\(371\) | −113747. | − | 1.14010e7i | −0.00222751 | − | 0.223265i | ||||
\(372\) | −4.78545e7 | −0.929595 | ||||||||
\(373\) | 2.11254e7 | − | 3.65902e7i | 0.407078 | − | 0.705081i | −0.587483 | − | 0.809237i | \(-0.699881\pi\) |
0.994561 | + | 0.104156i | \(0.0332142\pi\) | |||||||
\(374\) | −3.07306e7 | + | 1.77423e7i | −0.587431 | + | 0.339153i | ||||
\(375\) | −3.00002e7 | − | 5.19619e7i | −0.568893 | − | 0.985351i | ||||
\(376\) | 6.04013e6 | + | 3.48727e6i | 0.113627 | + | 0.0656028i | ||||
\(377\) | − | 2.69375e7i | − | 0.502728i | ||||||
\(378\) | −1.38931e7 | − | 2.35186e7i | −0.257232 | − | 0.435448i | ||||
\(379\) | 2.92437e7 | 0.537173 | 0.268587 | − | 0.963256i | \(-0.413443\pi\) | ||||
0.268587 | + | 0.963256i | \(0.413443\pi\) | |||||||
\(380\) | −1.14877e7 | + | 1.98972e7i | −0.209354 | + | 0.362611i | ||||
\(381\) | −1.74554e7 | + | 1.00779e7i | −0.315613 | + | 0.182219i | ||||
\(382\) | 1.78412e7 | + | 3.09019e7i | 0.320062 | + | 0.554364i | ||||
\(383\) | 2.53968e7 | + | 1.46629e7i | 0.452047 | + | 0.260989i | 0.708694 | − | 0.705516i | \(-0.249285\pi\) |
−0.256647 | + | 0.966505i | \(0.582618\pi\) | |||||||
\(384\) | 5.90966e6i | 0.104368i | ||||||||
\(385\) | 5.17631e7 | − | 9.17584e7i | 0.907065 | − | 1.60792i | ||||
\(386\) | 4.94924e6 | 0.0860550 | ||||||||
\(387\) | 1.63799e7 | − | 2.83709e7i | 0.282605 | − | 0.489486i | ||||
\(388\) | 905215. | − | 522626.i | 0.0154973 | − | 0.00894738i | ||||
\(389\) | 5.20331e7 | + | 9.01241e7i | 0.883957 | + | 1.53106i | 0.846904 | + | 0.531746i | \(0.178464\pi\) |
0.0370533 | + | 0.999313i | \(0.488203\pi\) | |||||||
\(390\) | −1.65531e7 | − | 9.55696e6i | −0.279053 | − | 0.161111i | ||||
\(391\) | − | 3.00468e7i | − | 0.502652i | ||||||
\(392\) | 1.10142e7 | + | 1.82274e7i | 0.182851 | + | 0.302598i | ||||
\(393\) | 4.12045e6 | 0.0678840 | ||||||||
\(394\) | 1.93866e7 | − | 3.35786e7i | 0.316967 | − | 0.549003i | ||||
\(395\) | 3.79180e7 | − | 2.18920e7i | 0.615254 | − | 0.355217i | ||||
\(396\) | 1.09381e7 | + | 1.89453e7i | 0.176139 | + | 0.305081i | ||||
\(397\) | 6.06717e7 | + | 3.50288e7i | 0.969649 | + | 0.559827i | 0.899129 | − | 0.437683i | \(-0.144201\pi\) |
0.0705197 | + | 0.997510i | \(0.477534\pi\) | |||||||
\(398\) | 5.38555e7i | 0.854242i | ||||||||
\(399\) | −5.29535e7 | − | 2.98723e7i | −0.833634 | − | 0.470273i | ||||
\(400\) | −1.07672e6 | −0.0168238 | ||||||||
\(401\) | −3.84740e7 | + | 6.66389e7i | −0.596670 | + | 1.03346i | 0.396639 | + | 0.917975i | \(0.370177\pi\) |
−0.993309 | + | 0.115488i | \(0.963157\pi\) | |||||||
\(402\) | −5.03736e7 | + | 2.90832e7i | −0.775398 | + | 0.447676i | ||||
\(403\) | 1.92482e7 | + | 3.33388e7i | 0.294086 | + | 0.509372i | ||||
\(404\) | 1.38561e7 | + | 7.99982e6i | 0.210134 | + | 0.121321i | ||||
\(405\) | 8.50190e7i | 1.27983i | ||||||||
\(406\) | 5.48330e7 | − | 3.23915e7i | 0.819339 | − | 0.484008i | ||||
\(407\) | 5.16733e7 | 0.766449 | ||||||||
\(408\) | −7.61031e6 | + | 1.31814e7i | −0.112053 | + | 0.194081i | ||||
\(409\) | 3.50627e7 | − | 2.02435e7i | 0.512479 | − | 0.295880i | −0.221373 | − | 0.975189i | \(-0.571054\pi\) |
0.733852 | + | 0.679309i | \(0.237721\pi\) | |||||||
\(410\) | 3.13558e7 | + | 5.43098e7i | 0.454952 | + | 0.788001i | ||||
\(411\) | 4.40660e7 | + | 2.54415e7i | 0.634714 | + | 0.366452i | ||||
\(412\) | − | 1.42721e7i | − | 0.204077i | ||||||
\(413\) | −1.14813e8 | + | 1.14549e6i | −1.62983 | + | 0.0162607i | ||||
\(414\) | −1.85237e7 | −0.261052 | ||||||||
\(415\) | 1.45069e7 | − | 2.51268e7i | 0.202970 | − | 0.351554i | ||||
\(416\) | 4.11709e6 | − | 2.37700e6i | 0.0571887 | − | 0.0330179i | ||||
\(417\) | −1.09740e7 | − | 1.90076e7i | −0.151342 | − | 0.262131i | ||||
\(418\) | −6.47830e7 | − | 3.74025e7i | −0.887017 | − | 0.512120i | ||||
\(419\) | − | 5.02960e7i | − | 0.683741i | −0.939747 | − | 0.341870i | \(-0.888940\pi\) | ||
0.939747 | − | 0.341870i | \(-0.111060\pi\) | |||||||
\(420\) | −450828. | − | 4.51869e7i | −0.00608503 | − | 0.609908i | ||||
\(421\) | 1.61043e6 | 0.0215822 | 0.0107911 | − | 0.999942i | \(-0.496565\pi\) | ||||
0.0107911 | + | 0.999942i | \(0.496565\pi\) | |||||||
\(422\) | 2.89863e7 | − | 5.02057e7i | 0.385705 | − | 0.668061i | ||||
\(423\) | 9.59061e6 | − | 5.53714e6i | 0.126714 | − | 0.0731584i | ||||
\(424\) | −3.00861e6 | − | 5.21106e6i | −0.0394701 | − | 0.0683642i | ||||
\(425\) | −2.40162e6 | − | 1.38658e6i | −0.0312851 | − | 0.0180624i | ||||
\(426\) | 5.87053e7i | 0.759362i | ||||||||
\(427\) | −2.93796e7 | − | 4.97343e7i | −0.377365 | − | 0.638811i | ||||
\(428\) | −6.04631e7 | −0.771186 | ||||||||
\(429\) | 3.11163e7 | − | 5.38951e7i | 0.394109 | − | 0.682617i | ||||
\(430\) | −7.21067e7 | + | 4.16308e7i | −0.906923 | + | 0.523612i | ||||
\(431\) | −3.45151e7 | − | 5.97819e7i | −0.431099 | − | 0.746686i | 0.565869 | − | 0.824495i | \(-0.308541\pi\) |
−0.996968 | + | 0.0778092i | \(0.975207\pi\) | |||||||
\(432\) | −1.24845e7 | − | 7.20796e6i | −0.154854 | − | 0.0894048i | ||||
\(433\) | − | 7.91462e7i | − | 0.974915i | −0.873147 | − | 0.487457i | \(-0.837924\pi\) | ||
0.873147 | − | 0.487457i | \(-0.162076\pi\) | |||||||
\(434\) | −4.47180e7 | + | 7.92697e7i | −0.547032 | + | 0.969702i | ||||
\(435\) | −1.35133e8 | −1.64170 | ||||||||
\(436\) | 3.07497e7 | − | 5.32601e7i | 0.371007 | − | 0.642603i | ||||
\(437\) | 5.48552e7 | − | 3.16707e7i | 0.657315 | − | 0.379501i | ||||
\(438\) | 9.72565e6 | + | 1.68453e7i | 0.115743 | + | 0.200474i | ||||
\(439\) | 2.09035e7 | + | 1.20687e7i | 0.247073 | + | 0.142648i | 0.618423 | − | 0.785845i | \(-0.287772\pi\) |
−0.371350 | + | 0.928493i | \(0.621105\pi\) | |||||||
\(440\) | − | 5.55998e7i | − | 0.652703i | ||||||
\(441\) | 3.38085e7 | − | 674680.i | 0.394195 | − | 0.00786651i | ||||
\(442\) | 1.22442e7 | 0.141796 | ||||||||
\(443\) | −2.35504e7 | + | 4.07904e7i | −0.270886 | + | 0.469188i | −0.969089 | − | 0.246712i | \(-0.920650\pi\) |
0.698203 | + | 0.715900i | \(0.253983\pi\) | |||||||
\(444\) | 1.91950e7 | − | 1.10822e7i | 0.219300 | − | 0.126613i | ||||
\(445\) | 2.47447e7 | + | 4.28591e7i | 0.280804 | + | 0.486366i | ||||
\(446\) | −8.62053e6 | − | 4.97707e6i | −0.0971694 | − | 0.0561008i | ||||
\(447\) | 2.01966e7i | 0.226128i | ||||||||
\(448\) | 9.78921e6 | + | 5.52233e6i | 0.108871 | + | 0.0614169i | ||||
\(449\) | −4.69720e6 | −0.0518920 | −0.0259460 | − | 0.999663i | \(-0.508260\pi\) | ||||
−0.0259460 | + | 0.999663i | \(0.508260\pi\) | |||||||
\(450\) | −854817. | + | 1.48059e6i | −0.00938071 | + | 0.0162479i | ||||
\(451\) | −1.76826e8 | + | 1.02091e8i | −1.92760 | + | 1.11290i | ||||
\(452\) | 7.55969e6 | + | 1.30938e7i | 0.0818632 | + | 0.141791i | ||||
\(453\) | 6.88575e7 | + | 3.97549e7i | 0.740724 | + | 0.427657i | ||||
\(454\) | − | 5.51668e7i | − | 0.589536i | ||||||
\(455\) | −3.12991e7 | + | 1.84893e7i | −0.332275 | + | 0.196285i | ||||
\(456\) | −3.20865e7 | −0.338398 | ||||||||
\(457\) | −5.91484e7 | + | 1.02448e8i | −0.619718 | + | 1.07338i | 0.369819 | + | 0.929104i | \(0.379420\pi\) |
−0.989537 | + | 0.144280i | \(0.953914\pi\) | |||||||
\(458\) | 9.94617e7 | − | 5.74243e7i | 1.03528 | − | 0.597722i | ||||
\(459\) | −1.85644e7 | − | 3.21545e7i | −0.191975 | − | 0.332510i | ||||
\(460\) | 4.07719e7 | + | 2.35397e7i | 0.418878 | + | 0.241839i | ||||
\(461\) | 1.71817e8i | 1.75373i | 0.480733 | + | 0.876867i | \(0.340371\pi\) | ||||
−0.480733 | + | 0.876867i | \(0.659629\pi\) | |||||||
\(462\) | 1.47123e8 | − | 1.46784e6i | 1.49195 | − | 0.0148852i | ||||
\(463\) | 4.58717e7 | 0.462170 | 0.231085 | − | 0.972934i | \(-0.425772\pi\) | ||||
0.231085 | + | 0.972934i | \(0.425772\pi\) | |||||||
\(464\) | 1.68052e7 | − | 2.91074e7i | 0.168224 | − | 0.291373i | ||||
\(465\) | 1.67246e8 | − | 9.65595e7i | 1.66340 | − | 0.960364i | ||||
\(466\) | 1.53557e7 | + | 2.65969e7i | 0.151744 | + | 0.262829i | ||||
\(467\) | 1.12372e7 | + | 6.48779e6i | 0.110333 | + | 0.0637010i | 0.554151 | − | 0.832416i | \(-0.313043\pi\) |
−0.443818 | + | 0.896117i | \(0.646376\pi\) | |||||||
\(468\) | − | 7.54848e6i | − | 0.0736413i | ||||||
\(469\) | 1.10365e6 | + | 1.10620e8i | 0.0106982 | + | 1.07229i | ||||
\(470\) | −2.81461e7 | −0.271097 | ||||||||
\(471\) | 4.10541e7 | − | 7.11077e7i | 0.392910 | − | 0.680541i | ||||
\(472\) | −5.24776e7 | + | 3.02980e7i | −0.499055 | + | 0.288129i | ||||
\(473\) | −1.35545e8 | − | 2.34771e8i | −1.28086 | − | 2.21851i | ||||
\(474\) | 5.29549e7 | + | 3.05735e7i | 0.497246 | + | 0.287085i | ||||
\(475\) | − | 5.84605e6i | − | 0.0545484i | ||||||
\(476\) | 1.47232e7 | + | 2.49238e7i | 0.136516 | + | 0.231096i | ||||
\(477\) | −9.55422e6 | −0.0880319 | ||||||||
\(478\) | 2.60335e6 | − | 4.50914e6i | 0.0238369 | − | 0.0412866i | ||||
\(479\) | −2.00019e7 | + | 1.15481e7i | −0.181997 | + | 0.105076i | −0.588231 | − | 0.808693i | \(-0.700175\pi\) |
0.406233 | + | 0.913769i | \(0.366842\pi\) | |||||||
\(480\) | −1.19244e7 | − | 2.06536e7i | −0.107823 | − | 0.186755i | ||||
\(481\) | −1.54414e7 | − | 8.91507e6i | −0.138756 | − | 0.0801105i | ||||
\(482\) | − | 1.41021e8i | − | 1.25934i | ||||||
\(483\) | −6.12121e7 | + | 1.08508e8i | −0.543246 | + | 0.962990i | ||||
\(484\) | 1.24337e8 | 1.09664 | ||||||||
\(485\) | −2.10908e6 | + | 3.65304e6i | −0.0184871 | + | 0.0320205i | ||||
\(486\) | −5.25493e7 | + | 3.03394e7i | −0.457782 | + | 0.264300i | ||||
\(487\) | 1.67086e7 | + | 2.89401e7i | 0.144661 | + | 0.250561i | 0.929246 | − | 0.369460i | \(-0.120457\pi\) |
−0.784585 | + | 0.620021i | \(0.787124\pi\) | |||||||
\(488\) | −2.64008e7 | − | 1.52425e7i | −0.227174 | − | 0.131159i | ||||
\(489\) | − | 2.79190e7i | − | 0.238767i | ||||||
\(490\) | −7.52722e7 | − | 4.14784e7i | −0.639803 | − | 0.352561i | ||||
\(491\) | 1.96184e8 | 1.65737 | 0.828686 | − | 0.559714i | \(-0.189089\pi\) | ||||
0.828686 | + | 0.559714i | \(0.189089\pi\) | |||||||
\(492\) | −4.37903e7 | + | 7.58470e7i | −0.367691 | + | 0.636859i | ||||
\(493\) | 7.49674e7 | − | 4.32825e7i | 0.625651 | − | 0.361220i | ||||
\(494\) | 1.29059e7 | + | 2.23537e7i | 0.107055 | + | 0.185425i | ||||
\(495\) | −7.64546e7 | − | 4.41411e7i | −0.630359 | − | 0.363938i | ||||
\(496\) | 4.80325e7i | 0.393631i | ||||||||
\(497\) | 9.72439e7 | + | 5.48576e7i | 0.792124 | + | 0.446856i | ||||
\(498\) | 4.05197e7 | 0.328079 | ||||||||
\(499\) | −4.63697e7 | + | 8.03147e7i | −0.373192 | + | 0.646388i | −0.990055 | − | 0.140683i | \(-0.955070\pi\) |
0.616862 | + | 0.787071i | \(0.288403\pi\) | |||||||
\(500\) | −5.21551e7 | + | 3.01118e7i | −0.417241 | + | 0.240894i | ||||
\(501\) | 6.70625e7 | + | 1.16156e8i | 0.533294 | + | 0.923692i | ||||
\(502\) | −4.41387e7 | − | 2.54835e7i | −0.348906 | − | 0.201441i | ||||
\(503\) | − | 1.26998e8i | − | 0.997914i | −0.866627 | − | 0.498957i | \(-0.833717\pi\) | ||
0.866627 | − | 0.498957i | \(-0.166283\pi\) | |||||||
\(504\) | 1.53654e7 | − | 9.07680e6i | 0.120020 | − | 0.0708992i | ||||
\(505\) | −6.45673e7 | −0.501347 | ||||||||
\(506\) | −7.66424e7 | + | 1.32749e8i | −0.591586 | + | 1.02466i | ||||
\(507\) | 1.14672e8 | − | 6.62059e7i | 0.879900 | − | 0.508011i | ||||
\(508\) | 1.01154e7 | + | 1.75203e7i | 0.0771597 | + | 0.133645i | ||||
\(509\) | −1.24437e8 | − | 7.18438e7i | −0.943619 | − | 0.544799i | −0.0525259 | − | 0.998620i | \(-0.516727\pi\) |
−0.891093 | + | 0.453821i | \(0.850061\pi\) | |||||||
\(510\) | − | 6.14235e7i | − | 0.463046i | ||||||
\(511\) | 3.69921e7 | − | 369069.i | 0.277234 | − | 0.00276595i | ||||
\(512\) | 5.93164e6 | 0.0441942 | ||||||||
\(513\) | 3.91355e7 | − | 6.77847e7i | 0.289881 | − | 0.502088i | ||||
\(514\) | −8.60037e7 | + | 4.96543e7i | −0.633327 | + | 0.365651i | ||||
\(515\) | 2.87978e7 | + | 4.98792e7i | 0.210832 | + | 0.365172i | ||||
\(516\) | −1.00702e8 | − | 5.81401e7i | −0.732971 | − | 0.423181i | ||||
\(517\) | − | 9.16404e7i | − | 0.663156i | ||||||
\(518\) | −420549. | − | 4.21520e7i | −0.00302571 | − | 0.303269i | ||||
\(519\) | −1.20986e8 | −0.865434 | ||||||||
\(520\) | −9.59250e6 | + | 1.66147e7i | −0.0682216 | + | 0.118163i | ||||
\(521\) | −1.12128e8 | + | 6.47370e7i | −0.792866 | + | 0.457761i | −0.840971 | − | 0.541081i | \(-0.818015\pi\) |
0.0481045 | + | 0.998842i | \(0.484682\pi\) | |||||||
\(522\) | −2.66835e7 | − | 4.62171e7i | −0.187599 | − | 0.324931i | ||||
\(523\) | −2.11656e8 | − | 1.22200e8i | −1.47954 | − | 0.854210i | −0.479804 | − | 0.877376i | \(-0.659292\pi\) |
−0.999732 | + | 0.0231657i | \(0.992625\pi\) | |||||||
\(524\) | − | 4.13578e6i | − | 0.0287451i | ||||||
\(525\) | 5.84823e6 | + | 9.90001e6i | 0.0404154 | + | 0.0684160i | ||||
\(526\) | −4.54900e7 | −0.312578 | ||||||||
\(527\) | −6.18550e7 | + | 1.07136e8i | −0.422613 | + | 0.731987i | ||||
\(528\) | 6.72457e7 | − | 3.88243e7i | 0.456838 | − | 0.263756i | ||||
\(529\) | 9.12076e6 | + | 1.57976e7i | 0.0616118 | + | 0.106715i | ||||
\(530\) | 2.10295e7 | + | 1.21414e7i | 0.141254 | + | 0.0815531i | ||||
\(531\) | 9.62151e7i | 0.642628i | ||||||||
\(532\) | −2.99834e7 | + | 5.31504e7i | −0.199134 | + | 0.352998i | ||||
\(533\) | 7.04539e7 | 0.465290 | ||||||||
\(534\) | −3.45576e7 | + | 5.98554e7i | −0.226944 | + | 0.393079i | ||||
\(535\) | 2.11311e8 | − | 1.22001e8i | 1.37995 | − | 0.796712i | ||||
\(536\) | 2.91914e7 | + | 5.05609e7i | 0.189566 | + | 0.328338i | ||||
\(537\) | −3.65890e7 | − | 2.11247e7i | −0.236280 | − | 0.136417i | ||||
\(538\) | 9.22169e7i | 0.592194i | ||||||||
\(539\) | 1.35049e8 | − | 2.45078e8i | 0.862432 | − | 1.56508i | ||||
\(540\) | 5.81761e7 | 0.369456 | ||||||||
\(541\) | 2.21709e6 | − | 3.84011e6i | 0.0140020 | − | 0.0242522i | −0.858939 | − | 0.512077i | \(-0.828876\pi\) |
0.872942 | + | 0.487825i | \(0.162210\pi\) | |||||||
\(542\) | 1.51565e8 | − | 8.75063e7i | 0.951924 | − | 0.549594i | ||||
\(543\) | −7.82187e7 | − | 1.35479e8i | −0.488553 | − | 0.846198i | ||||
\(544\) | 1.32305e7 | + | 7.63861e6i | 0.0821823 | + | 0.0474480i | ||||
\(545\) | 2.48184e8i | 1.53315i | ||||||||
\(546\) | −4.42176e7 | − | 2.49442e7i | −0.271655 | − | 0.153247i | ||||
\(547\) | −7.96292e7 | −0.486531 | −0.243265 | − | 0.969960i | \(-0.578219\pi\) | ||||
−0.243265 | + | 0.969960i | \(0.578219\pi\) | |||||||
\(548\) | 2.55361e7 | − | 4.42299e7i | 0.155172 | − | 0.268766i | ||||
\(549\) | −4.19196e7 | + | 2.42023e7i | −0.253338 | + | 0.146265i | ||||
\(550\) | 7.07367e6 | + | 1.22520e7i | 0.0425164 | + | 0.0736406i | ||||
\(551\) | 1.58038e8 | + | 9.12434e7i | 0.944729 | + | 0.545440i | ||||
\(552\) | 6.57492e7i | 0.390907i | ||||||||
\(553\) | 1.00128e8 | − | 5.91488e7i | 0.592082 | − | 0.349761i | ||||
\(554\) | −7.58924e7 | −0.446343 | ||||||||
\(555\) | −4.47229e7 | + | 7.74624e7i | −0.261608 | + | 0.453119i | ||||
\(556\) | −1.90783e7 | + | 1.10149e7i | −0.110998 | + | 0.0640847i | ||||
\(557\) | −1.46346e7 | − | 2.53478e7i | −0.0846865 | − | 0.146681i | 0.820571 | − | 0.571544i | \(-0.193656\pi\) |
−0.905258 | + | 0.424863i | \(0.860322\pi\) | |||||||
\(558\) | 6.60488e7 | + | 3.81333e7i | 0.380157 | + | 0.219483i | ||||
\(559\) | 9.35411e7i | 0.535509i | ||||||||
\(560\) | −4.53550e7 | + | 452505.i | −0.258262 | + | 0.00257667i | ||||
\(561\) | 1.99988e8 | 1.13270 | ||||||||
\(562\) | 3.31920e6 | − | 5.74902e6i | 0.0186992 | − | 0.0323880i | ||||
\(563\) | 1.62041e8 | − | 9.35545e7i | 0.908030 | − | 0.524251i | 0.0282330 | − | 0.999601i | \(-0.491012\pi\) |
0.879797 | + | 0.475350i | \(0.157679\pi\) | |||||||
\(564\) | −1.96539e7 | − | 3.40415e7i | −0.109550 | − | 0.189746i | ||||
\(565\) | −5.28405e7 | − | 3.05075e7i | −0.292969 | − | 0.169146i | ||||
\(566\) | − | 1.59948e8i | − | 0.882124i | ||||||
\(567\) | 2.25286e6 | + | 2.25806e8i | 0.0123591 | + | 1.23876i | ||||
\(568\) | 5.89237e7 | 0.321547 | ||||||||
\(569\) | −3.18400e7 | + | 5.51485e7i | −0.172837 | + | 0.299362i | −0.939410 | − | 0.342794i | \(-0.888627\pi\) |
0.766574 | + | 0.642156i | \(0.221960\pi\) | |||||||
\(570\) | 1.12138e8 | − | 6.47432e7i | 0.605522 | − | 0.349598i | ||||
\(571\) | 7.74210e7 | + | 1.34097e8i | 0.415863 | + | 0.720296i | 0.995519 | − | 0.0945655i | \(-0.0301462\pi\) |
−0.579655 | + | 0.814862i | \(0.696813\pi\) | |||||||
\(572\) | −5.40955e7 | − | 3.12321e7i | −0.289050 | − | 0.166883i | ||||
\(573\) | − | 2.01102e8i | − | 1.06894i | ||||||
\(574\) | 8.47185e7 | + | 1.43413e8i | 0.447964 | + | 0.758322i | ||||
\(575\) | −1.19793e7 | −0.0630127 | ||||||||
\(576\) | 4.70917e6 | − | 8.15652e6i | 0.0246421 | − | 0.0426813i | ||||
\(577\) | −2.73237e8 | + | 1.57754e8i | −1.42237 | + | 0.821205i | −0.996501 | − | 0.0835798i | \(-0.973365\pi\) |
−0.425868 | + | 0.904785i | \(0.640031\pi\) | |||||||
\(578\) | −4.85977e7 | − | 8.41737e7i | −0.251671 | − | 0.435906i | ||||
\(579\) | −2.41564e7 | − | 1.39467e7i | −0.124450 | − | 0.0718514i | ||||
\(580\) | 1.35636e8i | 0.695170i | ||||||||
\(581\) | 3.78639e7 | − | 6.71199e7i | 0.193062 | − | 0.342234i | ||||
\(582\) | −5.89093e6 | −0.0298823 | ||||||||
\(583\) | −3.95309e7 | + | 6.84696e7i | −0.199495 | + | 0.345535i | ||||
\(584\) | 1.69080e7 | − | 9.76183e6i | 0.0848894 | − | 0.0490109i | ||||
\(585\) | 1.52311e7 | + | 2.63811e7i | 0.0760789 | + | 0.131772i | ||||
\(586\) | −2.73441e7 | − | 1.57871e7i | −0.135885 | − | 0.0784531i | ||||
\(587\) | − | 5.57952e7i | − | 0.275856i | −0.990442 | − | 0.137928i | \(-0.955956\pi\) | ||
0.990442 | − | 0.137928i | \(-0.0440443\pi\) | |||||||
\(588\) | −2.39476e6 | − | 1.20002e8i | −0.0117796 | − | 0.590279i | ||||
\(589\) | −2.60792e8 | −1.27629 | ||||||||
\(590\) | 1.22269e8 | − | 2.11776e8i | 0.595333 | − | 1.03115i | ||||
\(591\) | −1.89246e8 | + | 1.09261e8i | −0.916776 | + | 0.529301i | ||||
\(592\) | −1.11235e7 | − | 1.92664e7i | −0.0536136 | − | 0.0928615i | ||||
\(593\) | 2.39874e8 | + | 1.38491e8i | 1.15032 | + | 0.664137i | 0.948965 | − | 0.315381i | \(-0.102132\pi\) |
0.201354 | + | 0.979518i | \(0.435466\pi\) | |||||||
\(594\) | 1.89415e8i | 0.903762i | ||||||||
\(595\) | −1.01747e8 | − | 5.73976e7i | −0.483024 | − | 0.272485i | ||||
\(596\) | 2.02717e7 | 0.0957527 | ||||||||
\(597\) | 1.51762e8 | − | 2.62859e8i | 0.713247 | − | 1.23538i | ||||
\(598\) | 4.58056e7 | − | 2.64459e7i | 0.214198 | − | 0.123667i | ||||
\(599\) | 9.32594e7 | + | 1.61530e8i | 0.433923 | + | 0.751576i | 0.997207 | − | 0.0746871i | \(-0.0237958\pi\) |
−0.563284 | + | 0.826263i | \(0.690462\pi\) | |||||||
\(600\) | 5.25529e6 | + | 3.03415e6i | 0.0243301 | + | 0.0140470i | ||||
\(601\) | − | 2.43621e8i | − | 1.12226i | −0.827729 | − | 0.561128i | \(-0.810368\pi\) | ||
0.827729 | − | 0.561128i | \(-0.189632\pi\) | |||||||
\(602\) | −1.90409e8 | + | 1.12480e8i | −0.872765 | + | 0.515569i | ||||
\(603\) | 9.27009e7 | 0.422797 | ||||||||
\(604\) | 3.99028e7 | − | 6.91136e7i | 0.181089 | − | 0.313655i | ||||
\(605\) | −4.34542e8 | + | 2.50883e8i | −1.96230 | + | 1.13294i | ||||
\(606\) | −4.50861e7 | − | 7.80914e7i | −0.202593 | − | 0.350902i | ||||
\(607\) | 9.01650e7 | + | 5.20568e7i | 0.403155 | + | 0.232762i | 0.687844 | − | 0.725858i | \(-0.258557\pi\) |
−0.284689 | + | 0.958620i | \(0.591890\pi\) | |||||||
\(608\) | 3.22058e7i | 0.143292i | ||||||||
\(609\) | −3.58908e8 | + | 3.58081e6i | −1.58903 | + | 0.0158537i | ||||
\(610\) | 1.23024e8 | 0.542001 | ||||||||
\(611\) | −1.58105e7 | + | 2.73846e7i | −0.0693142 | + | 0.120056i | ||||
\(612\) | 2.10075e7 | − | 1.21287e7i | 0.0916475 | − | 0.0529127i | ||||
\(613\) | −1.42147e8 | − | 2.46207e8i | −0.617103 | − | 1.06885i | −0.990012 | − | 0.140986i | \(-0.954973\pi\) |
0.372909 | − | 0.927868i | \(-0.378361\pi\) | |||||||
\(614\) | 2.15950e8 | + | 1.24679e8i | 0.932929 | + | 0.538627i | ||||
\(615\) | − | 3.53436e8i | − | 1.51944i | ||||||
\(616\) | −1.47330e6 | − | 1.47670e8i | −0.00630304 | − | 0.631759i | ||||
\(617\) | −1.78930e8 | −0.761776 | −0.380888 | − | 0.924621i | \(-0.624382\pi\) | ||||
−0.380888 | + | 0.924621i | \(0.624382\pi\) | |||||||
\(618\) | −4.02179e7 | + | 6.96594e7i | −0.170394 | + | 0.295131i | ||||
\(619\) | 2.04695e8 | − | 1.18181e8i | 0.863048 | − | 0.498281i | −0.00198390 | − | 0.999998i | \(-0.500631\pi\) |
0.865032 | + | 0.501717i | \(0.167298\pi\) | |||||||
\(620\) | −9.69186e7 | − | 1.67868e8i | −0.406661 | − | 0.704357i | ||||
\(621\) | −1.38900e8 | − | 8.01937e7i | −0.579997 | − | 0.334862i | ||||
\(622\) | 1.59536e8i | 0.662959i | ||||||||
\(623\) | 6.68565e7 | + | 1.13176e8i | 0.276490 | + | 0.468048i | ||||
\(624\) | −2.67931e7 | −0.110273 | ||||||||
\(625\) | 1.29732e8 | − | 2.24703e8i | 0.531383 | − | 0.920383i | ||||
\(626\) | 2.90458e7 | − | 1.67696e7i | 0.118402 | − | 0.0683595i | ||||
\(627\) | 2.10796e8 | + | 3.65110e8i | 0.855185 | + | 1.48122i | ||||
\(628\) | −7.13722e7 | − | 4.12068e7i | −0.288171 | − | 0.166376i | ||||
\(629\) | − | 5.72980e7i | − | 0.230244i | ||||||
\(630\) | −3.53854e7 | + | 6.27263e7i | −0.141515 | + | 0.250858i | ||||
\(631\) | 1.51341e8 | 0.602378 | 0.301189 | − | 0.953564i | \(-0.402616\pi\) | ||||
0.301189 | + | 0.953564i | \(0.402616\pi\) | |||||||
\(632\) | 3.06872e7 | − | 5.31519e7i | 0.121564 | − | 0.210556i | ||||
\(633\) | −2.82954e8 | + | 1.63364e8i | −1.11559 | + | 0.644087i | ||||
\(634\) | −1.28123e8 | − | 2.21915e8i | −0.502758 | − | 0.870802i | ||||
\(635\) | −7.07041e7 | − | 4.08211e7i | −0.276136 | − | 0.159427i | ||||
\(636\) | 3.39124e7i | 0.131822i | ||||||||
\(637\) | −8.26389e7 | + | 4.99360e7i | −0.319717 | + | 0.193195i | ||||
\(638\) | −4.41615e8 | −1.70052 | ||||||||
\(639\) | 4.67799e7 | − | 8.10252e7i | 0.179290 | − | 0.310540i | ||||
\(640\) | −2.07304e7 | + | 1.19687e7i | −0.0790802 | + | 0.0456570i | ||||
\(641\) | 1.15332e8 | + | 1.99760e8i | 0.437899 | + | 0.758463i | 0.997527 | − | 0.0702803i | \(-0.0223894\pi\) |
−0.559628 | + | 0.828744i | \(0.689056\pi\) | |||||||
\(642\) | 2.95110e8 | + | 1.70382e8i | 1.11527 | + | 0.643899i | ||||
\(643\) | 1.68539e8i | 0.633967i | 0.948431 | + | 0.316983i | \(0.102670\pi\) | ||||
−0.948431 | + | 0.316983i | \(0.897330\pi\) | |||||||
\(644\) | 1.08912e8 | + | 6.14398e7i | 0.407772 | + | 0.230034i | ||||
\(645\) | 4.69254e8 | 1.74875 | ||||||||
\(646\) | −4.14738e7 | + | 7.18347e7i | −0.153842 | + | 0.266463i | ||||
\(647\) | −1.43881e8 | + | 8.30696e7i | −0.531239 | + | 0.306711i | −0.741521 | − | 0.670930i | \(-0.765895\pi\) |
0.210282 | + | 0.977641i | \(0.432562\pi\) | |||||||
\(648\) | 5.95880e7 | + | 1.03209e8i | 0.218995 | + | 0.379310i | ||||
\(649\) | 6.89518e8 | + | 3.98093e8i | 2.52239 | + | 1.45630i | ||||
\(650\) | − | 4.88161e6i | − | 0.0177756i | ||||||
\(651\) | 4.41638e8 | − | 2.60889e8i | 1.60075 | − | 0.945612i | ||||
\(652\) | −2.80229e7 | −0.101104 | ||||||||
\(653\) | 1.18804e8 | − | 2.05775e8i | 0.426670 | − | 0.739014i | −0.569905 | − | 0.821711i | \(-0.693020\pi\) |
0.996575 | + | 0.0826970i | \(0.0263534\pi\) | |||||||
\(654\) | −3.00168e8 | + | 1.73302e8i | −1.07308 | + | 0.619542i | ||||
\(655\) | 8.34506e6 | + | 1.44541e7i | 0.0296965 | + | 0.0514359i | ||||
\(656\) | 7.61291e7 | + | 4.39532e7i | 0.269674 | + | 0.155696i | ||||
\(657\) | − | 3.09999e7i | − | 0.109311i | ||||||
\(658\) | −7.47547e7 | + | 745825.i | −0.262398 | + | 0.00261794i | ||||
\(659\) | −3.19568e8 | −1.11662 | −0.558312 | − | 0.829631i | \(-0.688551\pi\) | ||||
−0.558312 | + | 0.829631i | \(0.688551\pi\) | |||||||
\(660\) | −1.56677e8 | + | 2.71373e8i | −0.544972 | + | 0.943919i | ||||
\(661\) | 3.66423e8 | − | 2.11554e8i | 1.26876 | − | 0.732517i | 0.294004 | − | 0.955804i | \(-0.405012\pi\) |
0.974753 | + | 0.223287i | \(0.0716787\pi\) | |||||||
\(662\) | 1.89226e8 | + | 3.27748e8i | 0.652238 | + | 1.12971i | ||||
\(663\) | −5.97617e7 | − | 3.45034e7i | −0.205061 | − | 0.118392i | ||||
\(664\) | − | 4.06704e7i | − | 0.138923i | ||||||
\(665\) | −2.45687e6 | − | 2.46254e8i | −0.00835444 | − | 0.837373i | ||||
\(666\) | −3.53240e7 | −0.119577 | ||||||||
\(667\) | 1.86969e8 | − | 3.23840e8i | 0.630076 | − | 1.09132i | ||||
\(668\) | 1.16588e8 | − | 6.73119e7i | 0.391132 | − | 0.225820i | ||||
\(669\) | 2.80502e7 | + | 4.85844e7i | 0.0936824 | + | 0.162263i | ||||
\(670\) | −2.04041e8 | − | 1.17803e8i | −0.678411 | − | 0.391681i | ||||
\(671\) | 4.00551e8i | 1.32584i | ||||||||
\(672\) | −3.22178e7 | − | 5.45390e7i | −0.106167 | − | 0.179721i | ||||
\(673\) | −2.60395e8 | −0.854256 | −0.427128 | − | 0.904191i | \(-0.640475\pi\) | ||||
−0.427128 | + | 0.904191i | \(0.640475\pi\) | |||||||
\(674\) | 1.03864e8 | − | 1.79898e8i | 0.339224 | − | 0.587553i | ||||
\(675\) | −1.28197e7 | + | 7.40144e6i | −0.0416836 | + | 0.0240660i | ||||
\(676\) | −6.64522e7 | − | 1.15099e8i | −0.215114 | − | 0.372589i | ||||
\(677\) | −2.43309e8 | − | 1.40475e8i | −0.784139 | − | 0.452723i | 0.0537564 | − | 0.998554i | \(-0.482881\pi\) |
−0.837895 | + | 0.545831i | \(0.816214\pi\) | |||||||
\(678\) | − | 8.52112e7i | − | 0.273406i | ||||||
\(679\) | −5.50482e6 | + | 9.75817e6i | −0.0175846 | + | 0.0311716i | ||||
\(680\) | −6.16520e7 | −0.196074 | ||||||||
\(681\) | −1.55457e8 | + | 2.69260e8i | −0.492231 | + | 0.852570i | ||||
\(682\) | 5.46559e8 | − | 3.15556e8i | 1.72299 | − | 0.994771i | ||||
\(683\) | −1.08581e8 | − | 1.88068e8i | −0.340794 | − | 0.590272i | 0.643787 | − | 0.765205i | \(-0.277362\pi\) |
−0.984580 | + | 0.174933i | \(0.944029\pi\) | |||||||
\(684\) | 4.42858e7 | + | 2.55684e7i | 0.138387 | + | 0.0798979i | ||||
\(685\) | 2.06105e8i | 0.641233i | ||||||||
\(686\) | −2.01019e8 | − | 1.08170e8i | −0.622678 | − | 0.335070i | ||||
\(687\) | −6.47274e8 | −1.99626 | ||||||||
\(688\) | −5.83563e7 | + | 1.01076e8i | −0.179194 | + | 0.310372i | ||||
\(689\) | 2.36258e7 | − | 1.36403e7i | 0.0722318 | − | 0.0417031i | ||||
\(690\) | −1.32667e8 | − | 2.29786e8i | −0.403846 | − | 0.699481i | ||||
\(691\) | −4.52106e8 | − | 2.61024e8i | −1.37027 | − | 0.791126i | −0.379309 | − | 0.925270i | \(-0.623838\pi\) |
−0.990962 | + | 0.134144i | \(0.957171\pi\) | |||||||
\(692\) | 1.21436e8i | 0.366463i | ||||||||
\(693\) | −2.04229e8 | − | 1.15211e8i | −0.613647 | − | 0.346173i | ||||
\(694\) | 3.75359e8 | 1.12297 | ||||||||
\(695\) | 4.44509e7 | − | 7.69913e7i | 0.132412 | − | 0.229344i | ||||
\(696\) | −1.64046e8 | + | 9.47120e7i | −0.486562 | + | 0.280917i | ||||
\(697\) | 1.13204e8 | + | 1.96074e8i | 0.334319 | + | 0.579058i | ||||
\(698\) | 4.62543e7 | + | 2.67050e7i | 0.136015 | + | 0.0785282i | ||||
\(699\) | − | 1.73086e8i | − | 0.506794i | ||||||
\(700\) | 9.93683e6 | − | 5.86999e6i | 0.0289704 | − | 0.0171137i | ||||
\(701\) | 3.81338e8 | 1.10702 | 0.553511 | − | 0.832842i | \(-0.313288\pi\) | ||||
0.553511 | + | 0.832842i | \(0.313288\pi\) | |||||||
\(702\) | 3.26792e7 | − | 5.66021e7i | 0.0944627 | − | 0.163614i | ||||
\(703\) | 1.04607e8 | − | 6.03948e7i | 0.301088 | − | 0.173833i | ||||
\(704\) | −3.89687e7 | − | 6.74958e7i | −0.111686 | − | 0.193446i | ||||
\(705\) | 1.37376e8 | + | 7.93142e7i | 0.392052 | + | 0.226352i | ||||
\(706\) | 6.22595e7i | 0.176926i | ||||||||
\(707\) | −1.71488e8 | + | 1.71093e6i | −0.485260 | + | 0.00484142i | ||||
\(708\) | 3.41512e8 | 0.962291 | ||||||||
\(709\) | −1.19766e8 | + | 2.07441e8i | −0.336043 | + | 0.582043i | −0.983685 | − | 0.179902i | \(-0.942422\pi\) |
0.647642 | + | 0.761945i | \(0.275755\pi\) | |||||||
\(710\) | −2.05932e8 | + | 1.18895e8i | −0.575371 | + | 0.332190i | ||||
\(711\) | −4.87256e7 | − | 8.43953e7i | −0.135565 | − | 0.234806i | ||||
\(712\) | 6.00781e7 | + | 3.46861e7i | 0.166447 | + | 0.0960982i | ||||
\(713\) | 5.34396e8i | 1.47433i | ||||||||
\(714\) | −1.62762e6 | − | 1.63138e8i | −0.00447156 | − | 0.448188i | ||||
\(715\) | 2.52077e8 | 0.689628 | ||||||||
\(716\) | −2.12032e7 | + | 3.67251e7i | −0.0577648 | + | 0.100052i | ||||
\(717\) | −2.54130e7 | + | 1.46722e7i | −0.0689443 | + | 0.0398050i | ||||
\(718\) | 1.54793e8 | + | 2.68109e8i | 0.418194 | + | 0.724333i | ||||
\(719\) | −4.18017e8 | − | 2.41342e8i | −1.12462 | − | 0.649302i | −0.182047 | − | 0.983290i | \(-0.558272\pi\) |
−0.942577 | + | 0.333988i | \(0.891606\pi\) | |||||||
\(720\) | 3.80082e7i | 0.101831i | ||||||||
\(721\) | 7.78072e7 | + | 1.31714e8i | 0.207594 | + | 0.351419i | ||||
\(722\) | 9.12706e7 | 0.242504 | ||||||||
\(723\) | −3.97390e8 | + | 6.88299e8i | −1.05148 | + | 1.82122i | ||||
\(724\) | −1.35983e8 | + | 7.85097e7i | −0.358318 | + | 0.206875i | ||||
\(725\) | −1.72562e7 | − | 2.98887e7i | −0.0452827 | − | 0.0784319i | ||||
\(726\) | −6.06865e8 | − | 3.50374e8i | −1.58592 | − | 0.915634i | ||||
\(727\) | − | 5.49464e8i | − | 1.43000i | −0.699124 | − | 0.715000i | \(-0.746426\pi\) | ||
0.699124 | − | 0.715000i | \(-0.253574\pi\) | |||||||
\(728\) | −2.50370e7 | + | 4.43820e7i | −0.0648915 | + | 0.115031i | ||||
\(729\) | −1.37966e8 | −0.356115 | ||||||||
\(730\) | −3.93943e7 | + | 6.82329e7i | −0.101266 | + | 0.175398i | ||||
\(731\) | −2.60326e8 | + | 1.50299e8i | −0.666447 | + | 0.384774i | ||||
\(732\) | 8.59052e7 | + | 1.48792e8i | 0.219021 | + | 0.379356i | ||||
\(733\) | 5.09314e8 | + | 2.94053e8i | 1.29322 | + | 0.746643i | 0.979224 | − | 0.202780i | \(-0.0649977\pi\) |
0.313999 | + | 0.949423i | \(0.398331\pi\) | |||||||
\(734\) | − | 5.39580e8i | − | 1.36448i | ||||||
\(735\) | 2.50507e8 | + | 4.14562e8i | 0.630895 | + | 1.04407i | ||||
\(736\) | 6.59938e7 | 0.165527 | ||||||||
\(737\) | 3.83553e8 | − | 6.64334e8i | 0.958127 | − | 1.65952i | ||||
\(738\) | 1.20879e8 | − | 6.97895e7i | 0.300733 | − | 0.173628i | ||||
\(739\) | −3.92818e8 | − | 6.80381e8i | −0.973325 | − | 1.68585i | −0.685354 | − | 0.728210i | \(-0.740352\pi\) |
−0.287972 | − | 0.957639i | \(-0.592981\pi\) | |||||||
\(740\) | 7.77505e7 | + | 4.48893e7i | 0.191870 | + | 0.110776i | ||||
\(741\) | − | 1.45473e8i | − | 0.357542i | ||||||
\(742\) | 5.61750e7 | + | 3.16897e7i | 0.137509 | + | 0.0775722i | ||||
\(743\) | 5.34716e8 | 1.30364 | 0.651819 | − | 0.758375i | \(-0.274006\pi\) | ||||
0.651819 | + | 0.758375i | \(0.274006\pi\) | |||||||
\(744\) | 1.35353e8 | − | 2.34438e8i | 0.328661 | − | 0.569258i | ||||
\(745\) | −7.08472e7 | + | 4.09037e7i | −0.171338 | + | 0.0989221i | ||||
\(746\) | 1.19503e8 | + | 2.06986e8i | 0.287848 | + | 0.498567i | ||||
\(747\) | −5.59253e7 | − | 3.22885e7i | −0.134167 | − | 0.0774616i | ||||
\(748\) | − | 2.00732e8i | − | 0.479635i | ||||||
\(749\) | 5.58000e8 | − | 3.29628e8i | 1.32797 | − | 0.784473i | ||||
\(750\) | 3.39414e8 | 0.804536 | ||||||||
\(751\) | −3.36530e8 | + | 5.82887e8i | −0.794518 | + | 1.37615i | 0.128626 | + | 0.991693i | \(0.458943\pi\) |
−0.923145 | + | 0.384453i | \(0.874390\pi\) | |||||||
\(752\) | −3.41682e7 | + | 1.97270e7i | −0.0803467 | + | 0.0463882i | ||||
\(753\) | 1.43622e8 | + | 2.48761e8i | 0.336385 | + | 0.582636i | ||||
\(754\) | 1.31966e8 | + | 7.61907e7i | 0.307857 | + | 0.177741i | ||||
\(755\) | 3.22059e8i | 0.748332i | ||||||||
\(756\) | 1.54513e8 | − | 1.54157e6i | 0.357601 | − | 0.00356778i | ||||
\(757\) | −4.17395e8 | −0.962188 | −0.481094 | − | 0.876669i | \(-0.659760\pi\) | ||||
−0.481094 | + | 0.876669i | \(0.659760\pi\) | |||||||
\(758\) | −8.27136e7 | + | 1.43264e8i | −0.189919 | + | 0.328950i | ||||
\(759\) | 7.48156e8 | − | 4.31948e8i | 1.71107 | − | 0.987885i | ||||
\(760\) | −6.49840e7 | − | 1.12556e8i | −0.148035 | − | 0.256405i | ||||
\(761\) | −3.96918e8 | − | 2.29161e8i | −0.900631 | − | 0.519980i | −0.0232261 | − | 0.999730i | \(-0.507394\pi\) |
−0.877405 | + | 0.479751i | \(0.840727\pi\) | |||||||
\(762\) | − | 1.14018e8i | − | 0.257697i | ||||||
\(763\) | 6.57647e6 | + | 6.59165e8i | 0.0148054 | + | 1.48395i | ||||
\(764\) | −2.01850e8 | −0.452636 | ||||||||
\(765\) | −4.89459e7 | + | 8.47768e7i | −0.109328 | + | 0.189362i | ||||
\(766\) | −1.43666e8 | + | 8.29457e7i | −0.319645 | + | 0.184547i | ||||
\(767\) | −1.37364e8 | − | 2.37922e8i | −0.304430 | − | 0.527288i | ||||
\(768\) | −2.89513e7 | − | 1.67150e7i | −0.0639123 | − | 0.0368998i | ||||
\(769\) | 4.67013e8i | 1.02695i | 0.858104 | + | 0.513475i | \(0.171642\pi\) | ||||
−0.858104 | + | 0.513475i | \(0.828358\pi\) | |||||||
\(770\) | 3.03115e8 | + | 5.13119e8i | 0.663949 | + | 1.12395i | ||||
\(771\) | 5.59692e8 | 1.22120 | ||||||||
\(772\) | −1.39986e7 | + | 2.42462e7i | −0.0304250 | + | 0.0526977i | ||||
\(773\) | −4.73930e7 | + | 2.73624e7i | −0.102607 | + | 0.0592400i | −0.550425 | − | 0.834884i | \(-0.685534\pi\) |
0.447819 | + | 0.894124i | \(0.352201\pi\) | |||||||
\(774\) | 9.26589e7 | + | 1.60490e8i | 0.199832 | + | 0.346119i | ||||
\(775\) | 4.27139e7 | + | 2.46609e7i | 0.0917623 | + | 0.0529790i | ||||
\(776\) | 5.91284e6i | 0.0126535i | ||||||||
\(777\) | −1.16729e8 | + | 2.06921e8i | −0.248838 | + | 0.441105i | ||||
\(778\) | −5.88688e8 | −1.25010 | ||||||||
\(779\) | −2.38643e8 | + | 4.13342e8i | −0.504820 | + | 0.874375i | ||||
\(780\) | 9.36387e7 | − | 5.40623e7i | 0.197320 | − | 0.113923i | ||||
\(781\) | −3.87107e8 | − | 6.70489e8i | −0.812602 | − | 1.40747i | ||||
\(782\) | 1.47198e8 | + | 8.49851e7i | 0.307810 | + | 0.177714i | ||||
\(783\) | − | 4.62077e8i | − | 0.962563i | ||||||
\(784\) | −1.20449e8 | + | 2.40366e6i | −0.249950 | + | 0.00498799i | ||||
\(785\) | 3.32584e8 | 0.687530 | ||||||||
\(786\) | −1.16544e7 | + | 2.01860e7i | −0.0240006 | + | 0.0415703i | ||||
\(787\) | 3.05483e8 | − | 1.76371e8i | 0.626704 | − | 0.361828i | −0.152770 | − | 0.988262i | \(-0.548819\pi\) |
0.779475 | + | 0.626434i | \(0.215486\pi\) | |||||||
\(788\) | 1.09667e8 | + | 1.89949e8i | 0.224129 | + | 0.388204i | ||||
\(789\) | 2.22029e8 | + | 1.28188e8i | 0.452041 | + | 0.260986i | ||||
\(790\) | 2.47680e8i | 0.502353i | ||||||||
\(791\) | −1.41150e8 | − | 7.96262e7i | −0.285202 | − | 0.160889i | ||||
\(792\) | −1.23750e8 | −0.249098 | ||||||||
\(793\) | 6.91062e7 | − | 1.19695e8i | 0.138579 | − | 0.240026i | ||||
\(794\) | −3.43211e8 | + | 1.98153e8i | −0.685645 | + | 0.395858i | ||||
\(795\) | −6.84275e7 | − | 1.18520e8i | −0.136185 | − | 0.235879i | ||||
\(796\) | −2.63837e8 | − | 1.52326e8i | −0.523114 | − | 0.302020i | ||||
\(797\) | − | 6.57525e8i | − | 1.29879i | −0.760453 | − | 0.649393i | \(-0.775023\pi\) | ||
0.760453 | − | 0.649393i | \(-0.224977\pi\) | |||||||
\(798\) | 2.96119e8 | − | 1.74926e8i | 0.582717 | − | 0.344228i | ||||
\(799\) | −1.01616e8 | −0.199214 | ||||||||
\(800\) | 3.04543e6 | − | 5.27484e6i | 0.00594811 | − | 0.0103024i | ||||
\(801\) | 9.53928e7 | − | 5.50751e7i | 0.185617 | − | 0.107166i | ||||
\(802\) | −2.17642e8 | − | 3.76967e8i | −0.421909 | − | 0.730769i | ||||
\(803\) | −2.22159e8 | − | 1.28263e8i | −0.429058 | − | 0.247717i | ||||
\(804\) | − | 3.29039e8i | − | 0.633110i | ||||||
\(805\) | −5.04606e8 | + | 5.03444e6i | −0.967309 | + | 0.00965081i | ||||
\(806\) | −2.17768e8 | −0.415901 | ||||||||
\(807\) | 2.59862e8 | − | 4.50095e8i | 0.494450 | − | 0.856413i | ||||
\(808\) | −7.83819e7 | + | 4.52538e7i | −0.148587 | + | 0.0857869i | ||||
\(809\) | 3.44264e8 | + | 5.96282e8i | 0.650198 | + | 1.12618i | 0.983075 | + | 0.183206i | \(0.0586475\pi\) |
−0.332876 | + | 0.942971i | \(0.608019\pi\) | |||||||
\(810\) | −4.16507e8 | − | 2.40470e8i | −0.783730 | − | 0.452487i | ||||
\(811\) | 4.12718e8i | 0.773732i | 0.922136 | + | 0.386866i | \(0.126442\pi\) | ||||
−0.922136 | + | 0.386866i | \(0.873558\pi\) | |||||||
\(812\) | 3.59413e6 | + | 3.60242e8i | 0.00671313 | + | 0.672863i | ||||
\(813\) | −9.86353e8 | −1.83553 | ||||||||
\(814\) | −1.46154e8 | + | 2.53147e8i | −0.270981 | + | 0.469352i | ||||
\(815\) | 9.79368e7 | − | 5.65438e7i | 0.180914 | − | 0.104451i | ||||
\(816\) | −4.30504e7 | − | 7.45655e7i | −0.0792331 | − | 0.137236i | ||||
\(817\) | −5.48792e8 | − | 3.16845e8i | −1.00633 | − | 0.581006i | ||||
\(818\) | 2.29029e8i | 0.418437i | ||||||||
\(819\) | 4.11522e7 | + | 6.96632e7i | 0.0749102 | + | 0.126810i | ||||
\(820\) | −3.54750e8 | −0.643400 | ||||||||
\(821\) | 1.98839e8 | − | 3.44399e8i | 0.359312 | − | 0.622347i | −0.628534 | − | 0.777782i | \(-0.716345\pi\) |
0.987846 | + | 0.155435i | \(0.0496780\pi\) | |||||||
\(822\) | −2.49275e8 | + | 1.43919e8i | −0.448811 | + | 0.259121i | ||||
\(823\) | 1.08211e8 | + | 1.87427e8i | 0.194121 | + | 0.336228i | 0.946612 | − | 0.322375i | \(-0.104481\pi\) |
−0.752491 | + | 0.658603i | \(0.771148\pi\) | |||||||
\(824\) | 6.99185e7 | + | 4.03675e7i | 0.124971 | + | 0.0721523i | ||||
\(825\) | − | 7.97329e7i | − | 0.141996i | ||||||
\(826\) | 3.19129e8 | − | 5.65707e8i | 0.566273 | − | 1.00381i | ||||
\(827\) | 4.58785e8 | 0.811134 | 0.405567 | − | 0.914065i | \(-0.367074\pi\) | ||||
0.405567 | + | 0.914065i | \(0.367074\pi\) | |||||||
\(828\) | 5.23929e7 | − | 9.07472e7i | 0.0922957 | − | 0.159861i | ||||
\(829\) | 6.95641e8 | − | 4.01628e8i | 1.22102 | − | 0.704954i | 0.255881 | − | 0.966708i | \(-0.417634\pi\) |
0.965135 | + | 0.261754i | \(0.0843010\pi\) | |||||||
\(830\) | 8.20636e7 | + | 1.42138e8i | 0.143521 | + | 0.248586i | ||||
\(831\) | 3.70417e8 | + | 2.13861e8i | 0.645488 | + | 0.372673i | ||||
\(832\) | 2.68927e7i | 0.0466944i | ||||||||
\(833\) | −2.71755e8 | − | 1.49749e8i | −0.470156 | − | 0.259077i | ||||
\(834\) | 1.24157e8 | 0.214029 | ||||||||
\(835\) | −2.71640e8 | + | 4.70495e8i | −0.466589 | + | 0.808156i | ||||
\(836\) | 3.66468e8 | − | 2.11580e8i | 0.627216 | − | 0.362123i | ||||
\(837\) | 3.30177e8 | + | 5.71884e8i | 0.563081 | + | 0.975284i | ||||
\(838\) | 2.46399e8 | + | 1.42259e8i | 0.418704 | + | 0.241739i | ||||
\(839\) | − | 1.09867e9i | − | 1.86030i | −0.367185 | − | 0.930148i | \(-0.619678\pi\) | ||
0.367185 | − | 0.930148i | \(-0.380322\pi\) | |||||||
\(840\) | 2.22645e8 | + | 1.25599e8i | 0.375642 | + | 0.211909i | ||||
\(841\) | 4.82497e8 | 0.811160 | ||||||||
\(842\) | −4.55499e6 | + | 7.88947e6i | −0.00763046 | + | 0.0132163i | ||||
\(843\) | −3.24009e7 | + | 1.87066e7i | −0.0540846 | + | 0.0312258i | ||||
\(844\) | 1.63971e8 | + | 2.84007e8i | 0.272735 | + | 0.472390i | ||||
\(845\) | 4.64485e8 | + | 2.68171e8i | 0.769842 | + | 0.444469i | ||||
\(846\) | 6.26456e7i | 0.103462i | ||||||||
\(847\) | −1.14748e9 | + | 6.77848e8i | −1.88840 | + | 1.11553i | ||||
\(848\) | 3.40385e7 | 0.0558191 | ||||||||
\(849\) | −4.50725e8 | + | 7.80679e8i | −0.736527 | + | 1.27570i | ||||
\(850\) | 1.35856e7 | − | 7.84365e6i | 0.0221219 | − | 0.0127721i | ||||
\(851\) | −1.23757e8 | − | 2.14353e8i | −0.200807 | − | 0.347808i | ||||
\(852\) | −2.87596e8 | − | 1.66044e8i | −0.465012 | − | 0.268475i | ||||
\(853\) | 8.99416e8i | 1.44915i | 0.689196 | + | 0.724575i | \(0.257964\pi\) | ||||
−0.689196 | + | 0.724575i | \(0.742036\pi\) | |||||||
\(854\) | 3.26745e8 | − | 3.25993e6i | 0.524609 | − | 0.00523401i | ||||
\(855\) | −2.06365e8 | −0.330170 | ||||||||
\(856\) | 1.71015e8 | − | 2.96207e8i | 0.272655 | − | 0.472253i | ||||
\(857\) | 8.09008e8 | − | 4.67081e8i | 1.28532 | − | 0.742078i | 0.307501 | − | 0.951548i | \(-0.400507\pi\) |
0.977815 | + | 0.209470i | \(0.0671738\pi\) | |||||||
\(858\) | 1.76021e8 | + | 3.04877e8i | 0.278677 | + | 0.482683i | ||||
\(859\) | 3.89837e8 | + | 2.25073e8i | 0.615041 | + | 0.355094i | 0.774936 | − | 0.632040i | \(-0.217782\pi\) |
−0.159895 | + | 0.987134i | \(0.551116\pi\) | |||||||
\(860\) | − | 4.70999e8i | − | 0.740499i | ||||||
\(861\) | −9.36546e6 | − | 9.38708e8i | −0.0146730 | − | 1.47069i | ||||
\(862\) | 3.90494e8 | 0.609667 | ||||||||
\(863\) | −2.32956e8 | + | 4.03492e8i | −0.362445 | + | 0.627773i | −0.988363 | − | 0.152116i | \(-0.951391\pi\) |
0.625918 | + | 0.779889i | \(0.284725\pi\) | |||||||
\(864\) | 7.06233e7 | − | 4.07744e7i | 0.109498 | − | 0.0632187i | ||||
\(865\) | −2.45031e8 | − | 4.24406e8i | −0.378593 | − | 0.655742i | ||||
\(866\) | 3.87736e8 | + | 2.23859e8i | 0.597011 | + | 0.344684i | ||||
\(867\) | 5.47783e8i | 0.840527i | ||||||||
\(868\) | −2.61859e8 | − | 4.43281e8i | −0.400414 | − | 0.677829i | ||||
\(869\) | −8.06416e8 | −1.22885 | ||||||||
\(870\) | 3.82215e8 | − | 6.62015e8i | 0.580430 | − | 1.00533i | ||||
\(871\) | −2.29232e8 | + | 1.32347e8i | −0.346913 | + | 0.200290i | ||||
\(872\) | 1.73947e8 | + | 3.01285e8i | 0.262342 | + | 0.454389i | ||||
\(873\) | 8.13067e6 | + | 4.69424e6i | 0.0122203 | + | 0.00705542i | ||||
\(874\) | 3.58313e8i | 0.536695i | ||||||||
\(875\) | 3.17167e8 | − | 5.62230e8i | 0.473439 | − | 0.839247i | ||||
\(876\) | −1.10033e8 | −0.163686 | ||||||||
\(877\) | −1.87763e8 | + | 3.25216e8i | −0.278363 | + | 0.482140i | −0.970978 | − | 0.239168i | \(-0.923125\pi\) |
0.692615 | + | 0.721308i | \(0.256459\pi\) | |||||||
\(878\) | −1.18248e8 | + | 6.82706e7i | −0.174707 | + | 0.100867i | ||||
\(879\) | 8.89745e7 | + | 1.54108e8i | 0.131008 | + | 0.226913i | ||||
\(880\) | 2.72382e8 | + | 1.57260e8i | 0.399697 | + | 0.230765i | ||||
\(881\) | 6.74362e8i | 0.986201i | 0.869972 | + | 0.493101i | \(0.164137\pi\) | ||||
−0.869972 | + | 0.493101i | \(0.835863\pi\) | |||||||
\(882\) | −9.23197e7 | + | 1.67536e8i | −0.134552 | + | 0.244175i | ||||
\(883\) | 1.23657e9 | 1.79612 | 0.898061 | − | 0.439871i | \(-0.144976\pi\) | ||||
0.898061 | + | 0.439871i | \(0.144976\pi\) | |||||||
\(884\) | −3.46317e7 | + | 5.99839e7i | −0.0501323 | + | 0.0868317i | ||||
\(885\) | −1.19355e9 | + | 6.89094e8i | −1.72191 | + | 0.994143i | ||||
\(886\) | −1.33221e8 | − | 2.30746e8i | −0.191545 | − | 0.331766i | ||||
\(887\) | 4.15490e8 | + | 2.39883e8i | 0.595374 | + | 0.343739i | 0.767219 | − | 0.641385i | \(-0.221640\pi\) |
−0.171846 | + | 0.985124i | \(0.554973\pi\) | |||||||
\(888\) | 1.25381e8i | 0.179058i | ||||||||
\(889\) | −1.88868e8 | − | 1.06545e8i | −0.268815 | − | 0.151645i | ||||
\(890\) | −2.79955e8 | −0.397116 | ||||||||
\(891\) | 7.82943e8 | − | 1.35610e9i | 1.10687 | − | 1.91716i | ||||
\(892\) | 4.87651e7 | − | 2.81545e7i | 0.0687091 | − | 0.0396692i | ||||
\(893\) | −1.07108e8 | − | 1.85516e8i | −0.150406 | − | 0.260511i | ||||
\(894\) | −9.89426e7 | − | 5.71245e7i | −0.138475 | − | 0.0799485i | ||||
\(895\) | − | 1.71133e8i | − | 0.238707i | ||||||
\(896\) | −5.47418e7 | + | 3.23376e7i | −0.0761018 | + | 0.0449556i | ||||
\(897\) | −2.98092e8 | −0.413022 | ||||||||
\(898\) | 1.32857e7 | − | 2.30115e7i | 0.0183466 | − | 0.0317772i | ||||
\(899\) | −1.33333e9 | + | 7.69799e8i | −1.83510 | + | 1.05949i | ||||
\(900\) | −4.83558e6 | − | 8.37547e6i | −0.00663316 | − | 0.0114890i | ||||
\(901\) | 7.59226e7 | + | 4.38339e7i | 0.103800 | + | 0.0599289i | ||||
\(902\) | − | 1.15503e9i | − | 1.57388i | ||||||
\(903\) | 1.24632e9 | − | 1.24344e7i | 1.69264 | − | 0.0168874i | ||||
\(904\) | −8.55281e7 | −0.115772 | ||||||||
\(905\) | 3.16829e8 | − | 5.48765e8i | 0.427444 | − | 0.740355i | ||||
\(906\) | −3.89517e8 | + | 2.24888e8i | −0.523771 | + | 0.302399i | ||||
\(907\) | 2.16162e6 | + | 3.74403e6i | 0.00289705 | + | 0.00501784i | 0.867470 | − | 0.497489i | \(-0.165745\pi\) |
−0.864573 | + | 0.502507i | \(0.832411\pi\) | |||||||
\(908\) | 2.70261e8 | + | 1.56035e8i | 0.361016 | + | 0.208432i | ||||
\(909\) | 1.43709e8i | 0.191334i | ||||||||
\(910\) | −2.05155e6 | − | 2.05629e8i | −0.00272244 | − | 0.272873i | ||||
\(911\) | −4.54738e8 | −0.601459 | −0.300730 | − | 0.953709i | \(-0.597230\pi\) | ||||
−0.300730 | + | 0.953709i | \(0.597230\pi\) | |||||||
\(912\) | 9.07542e7 | − | 1.57191e8i | 0.119642 | − | 0.207225i | ||||
\(913\) | −4.62786e8 | + | 2.67190e8i | −0.608090 | + | 0.351081i | ||||
\(914\) | −3.34594e8 | − | 5.79533e8i | −0.438207 | − | 0.758997i | ||||
\(915\) | −6.00458e8 | − | 3.46675e8i | −0.783825 | − | 0.452542i | ||||
\(916\) | 6.49681e8i | 0.845306i | ||||||||
\(917\) | 2.25471e7 | + | 3.81682e7i | 0.0292403 | + | 0.0494987i | ||||
\(918\) | 2.10033e8 | 0.271493 | ||||||||
\(919\) | 3.08907e8 | − | 5.35042e8i | 0.397998 | − | 0.689353i | −0.595481 | − | 0.803369i | \(-0.703038\pi\) |
0.993479 | + | 0.114017i | \(0.0363718\pi\) | |||||||
\(920\) | −2.30641e8 | + | 1.33160e8i | −0.296191 | + | 0.171006i | ||||
\(921\) | −7.02677e8 | − | 1.21707e9i | −0.899450 | − | 1.55789i | ||||
\(922\) | −8.41729e8 | − | 4.85972e8i | −1.07394 | − | 0.620039i | ||||
\(923\) | 2.67147e8i | 0.339738i | ||||||||
\(924\) | −4.08936e8 | + | 7.24906e8i | −0.518370 | + | 0.918894i | ||||
\(925\) | −2.28441e7 | −0.0288635 | ||||||||
\(926\) | −1.29745e8 | + | 2.24724e8i | −0.163402 | + | 0.283020i | ||||
\(927\) | 1.11018e8 | − | 6.40960e7i | 0.139365 | − | 0.0804622i | ||||
\(928\) | 9.50643e7 | + | 1.64656e8i | 0.118952 | + | 0.206032i | ||||
\(929\) | −6.08765e8 | − | 3.51471e8i | −0.759282 | − | 0.438371i | 0.0697562 | − | 0.997564i | \(-0.477778\pi\) |
−0.829038 | + | 0.559193i | \(0.811111\pi\) | |||||||
\(930\) | 1.09245e9i | 1.35816i | ||||||||
\(931\) | −1.30507e7 | − | 6.53975e8i | −0.0161727 | − | 0.810423i | ||||
\(932\) | −1.73730e8 | −0.214599 | ||||||||
\(933\) | 4.49563e8 | − | 7.78666e8i | 0.553536 | − | 0.958752i | ||||
\(934\) | −6.35671e7 | + | 3.67005e7i | −0.0780174 | + | 0.0450434i | ||||
\(935\) | 4.05031e8 | + | 7.01534e8i | 0.495511 | + | 0.858250i | ||||
\(936\) | 3.69798e7 | + | 2.13503e7i | 0.0450959 | + | 0.0260361i | ||||
\(937\) | − | 2.35920e8i | − | 0.286779i | −0.989666 | − | 0.143389i | \(-0.954200\pi\) | ||
0.989666 | − | 0.143389i | \(-0.0458001\pi\) | |||||||
\(938\) | −5.45045e8 | − | 3.07473e8i | −0.660425 | − | 0.372561i | ||||
\(939\) | −1.89023e8 | −0.228306 | ||||||||
\(940\) | 7.96092e7 | − | 1.37887e8i | 0.0958472 | − | 0.166012i | ||||
\(941\) | −3.18894e8 | + | 1.84114e8i | −0.382717 | + | 0.220962i | −0.679000 | − | 0.734139i | \(-0.737586\pi\) |
0.296283 | + | 0.955100i | \(0.404253\pi\) | |||||||
\(942\) | 2.32237e8 | + | 4.02246e8i | 0.277830 | + | 0.481215i | ||||
\(943\) | 8.46991e8 | + | 4.89010e8i | 1.01005 | + | 0.583154i | ||||
\(944\) | − | 3.42783e8i | − | 0.407477i | ||||||
\(945\) | −5.36894e8 | + | 3.17159e8i | −0.636199 | + | 0.375822i | ||||
\(946\) | 1.53352e9 | 1.81140 | ||||||||
\(947\) | −3.01831e8 | + | 5.22786e8i | −0.355397 | + | 0.615566i | −0.987186 | − | 0.159575i | \(-0.948988\pi\) |
0.631789 | + | 0.775141i | \(0.282321\pi\) | |||||||
\(948\) | −2.99558e8 | + | 1.72950e8i | −0.351606 | + | 0.203000i | ||||
\(949\) | 4.42579e7 | + | 7.66569e7i | 0.0517836 | + | 0.0896918i | ||||
\(950\) | 2.86397e7 | + | 1.65351e7i | 0.0334039 | + | 0.0192858i | ||||
\(951\) | 1.44417e9i | 1.67910i | ||||||||
\(952\) | −1.63745e8 | + | 1.63367e6i | −0.189783 | + | 0.00189345i | ||||
\(953\) | 2.87119e8 | 0.331729 | 0.165864 | − | 0.986149i | \(-0.446959\pi\) | ||||
0.165864 | + | 0.986149i | \(0.446959\pi\) | |||||||
\(954\) | 2.70234e7 | − | 4.68059e7i | 0.0311240 | − | 0.0539083i | ||||
\(955\) | 7.05443e8 | − | 4.07288e8i | 0.809938 | − | 0.467618i | ||||
\(956\) | 1.47268e7 | + | 2.55075e7i | 0.0168552 | + | 0.0291941i | ||||
\(957\) | 2.15544e9 | + | 1.24445e9i | 2.45924 | + | 1.41984i | ||||
\(958\) | − | 1.30652e8i | − | 0.148600i | ||||||
\(959\) | 5.46143e6 | + | 5.47404e8i | 0.00619228 | + | 0.620657i | ||||
\(960\) | 1.34909e8 | 0.152485 | ||||||||
\(961\) | 6.56367e8 | − | 1.13686e9i | 0.739566 | − | 1.28097i | ||||
\(962\) | 8.73495e7 | − | 5.04313e7i | 0.0981150 | − | 0.0566467i | ||||
\(963\) | −2.71541e8 | − | 4.70322e8i | −0.304058 | − | 0.526643i | ||||
\(964\) | 6.90859e8 | + | 3.98868e8i | 0.771185 | + | 0.445244i | ||||
\(965\) | − | 1.12984e8i | − | 0.125728i | ||||||
\(966\) | −3.58446e8 | − | 6.06785e8i | −0.397642 | − | 0.673137i | ||||
\(967\) | −7.68357e8 | −0.849735 | −0.424868 | − | 0.905256i | \(-0.639679\pi\) | ||||
−0.424868 | + | 0.905256i | \(0.639679\pi\) | |||||||
\(968\) | −3.51677e8 | + | 6.09123e8i | −0.387720 | + | 0.671550i | ||||
\(969\) | 4.04853e8 | − | 2.33742e8i | 0.444965 | − | 0.256901i | ||||
\(970\) | −1.19308e7 | − | 2.06647e7i | −0.0130723 | − | 0.0226419i | ||||
\(971\) | −7.15458e8 | − | 4.13070e8i | −0.781496 | − | 0.451197i | 0.0554643 | − | 0.998461i | \(-0.482336\pi\) |
−0.836960 | + | 0.547264i | \(0.815669\pi\) | |||||||
\(972\) | − | 3.43251e8i | − | 0.373777i | ||||||
\(973\) | 1.16019e8 | − | 2.05663e8i | 0.125948 | − | 0.223264i | ||||
\(974\) | −1.89036e8 | −0.204582 | ||||||||
\(975\) | −1.37561e7 | + | 2.38263e7i | −0.0148417 | + | 0.0257065i | ||||
\(976\) | 1.49346e8 | − | 8.62248e7i | 0.160636 | − | 0.0927433i | ||||
\(977\) | 4.17857e8 | + | 7.23750e8i | 0.448068 | + | 0.776077i | 0.998260 | − | 0.0589610i | \(-0.0187788\pi\) |
−0.550192 | + | 0.835038i | \(0.685445\pi\) | |||||||
\(978\) | 1.36775e8 | + | 7.89670e7i | 0.146214 | + | 0.0844168i | ||||
\(979\) | − | 9.11500e8i | − | 0.971423i | ||||||
\(980\) | 4.16104e8 | − | 2.51438e8i | 0.442103 | − | 0.267149i | ||||
\(981\) | 5.52390e8 | 0.585112 | ||||||||
\(982\) | −5.54893e8 | + | 9.61103e8i | −0.585969 | + | 1.01493i | ||||
\(983\) | 1.91250e8 | − | 1.10418e8i | 0.201345 | − | 0.116247i | −0.395938 | − | 0.918277i | \(-0.629580\pi\) |
0.597283 | + | 0.802031i | \(0.296247\pi\) | |||||||
\(984\) | −2.47715e8 | − | 4.29056e8i | −0.259997 | − | 0.450327i | ||||
\(985\) | −7.66550e8 | − | 4.42568e8i | −0.802106 | − | 0.463096i | ||||
\(986\) | 4.89685e8i | 0.510842i | ||||||||
\(987\) | 3.66966e8 | + | 2.07014e8i | 0.381658 | + | 0.215303i | ||||
\(988\) | −1.46014e8 | −0.151399 | ||||||||
\(989\) | −6.49256e8 | + | 1.12454e9i | −0.671161 | + | 1.16249i | ||||
\(990\) | 4.32493e8 | − | 2.49700e8i | 0.445731 | − | 0.257343i | ||||
\(991\) | 3.64147e8 | + | 6.30721e8i | 0.374158 | + | 0.648061i | 0.990201 | − | 0.139652i | \(-0.0445983\pi\) |
−0.616042 | + | 0.787713i | \(0.711265\pi\) | |||||||
\(992\) | −2.35310e8 | − | 1.35856e8i | −0.241049 | − | 0.139170i | ||||
\(993\) | − | 2.13291e9i | − | 2.17834i | ||||||
\(994\) | −5.43794e8 | + | 3.21235e8i | −0.553701 | + | 0.327088i | ||||
\(995\) | 1.22944e9 | 1.24807 | ||||||||
\(996\) | −1.14607e8 | + | 1.98505e8i | −0.115993 | + | 0.200906i | ||||
\(997\) | −1.47059e8 | + | 8.49047e7i | −0.148391 | + | 0.0856735i | −0.572357 | − | 0.820005i | \(-0.693971\pi\) |
0.423966 | + | 0.905678i | \(0.360638\pi\) | |||||||
\(998\) | −2.62307e8 | − | 4.54328e8i | −0.263887 | − | 0.457065i | ||||
\(999\) | −2.64876e8 | − | 1.52926e8i | −0.265672 | − | 0.153386i |
(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 | 14.7.d.a.5.2 | yes | 8 | |
3.2 | odd | 2 | 126.7.n.c.19.3 | 8 | |||
4.3 | odd | 2 | 112.7.s.c.33.1 | 8 | |||
7.2 | even | 3 | 98.7.b.c.97.8 | 8 | |||
7.3 | odd | 6 | inner | 14.7.d.a.3.2 | ✓ | 8 | |
7.4 | even | 3 | 98.7.d.c.31.1 | 8 | |||
7.5 | odd | 6 | 98.7.b.c.97.5 | 8 | |||
7.6 | odd | 2 | 98.7.d.c.19.1 | 8 | |||
21.17 | even | 6 | 126.7.n.c.73.3 | 8 | |||
28.3 | even | 6 | 112.7.s.c.17.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.7.d.a.3.2 | ✓ | 8 | 7.3 | odd | 6 | inner | |
14.7.d.a.5.2 | yes | 8 | 1.1 | even | 1 | trivial | |
98.7.b.c.97.5 | 8 | 7.5 | odd | 6 | |||
98.7.b.c.97.8 | 8 | 7.2 | even | 3 | |||
98.7.d.c.19.1 | 8 | 7.6 | odd | 2 | |||
98.7.d.c.31.1 | 8 | 7.4 | even | 3 | |||
112.7.s.c.17.1 | 8 | 28.3 | even | 6 | |||
112.7.s.c.33.1 | 8 | 4.3 | odd | 2 | |||
126.7.n.c.19.3 | 8 | 3.2 | odd | 2 | |||
126.7.n.c.73.3 | 8 | 21.17 | even | 6 |