Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
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("43.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(252\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 18.12 | ||
Character | \(\chi\) | \(=\) | 43.18 |
Dual form | 43.7.h.a.12.12 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965900 | − | 2.00571i | 0.120737 | − | 0.250714i | −0.831837 | − | 0.555020i | \(-0.812710\pi\) |
0.952574 | + | 0.304307i | \(0.0984247\pi\) | |||||||
\(3\) | −22.0783 | + | 32.3829i | −0.817713 | + | 1.19937i | 0.159519 | + | 0.987195i | \(0.449006\pi\) |
−0.977233 | + | 0.212171i | \(0.931947\pi\) | |||||||
\(4\) | 36.8134 | + | 46.1626i | 0.575210 | + | 0.721290i | ||||
\(5\) | 89.0872 | + | 96.0132i | 0.712698 | + | 0.768105i | 0.980743 | − | 0.195301i | \(-0.0625683\pi\) |
−0.268046 | + | 0.963406i | \(0.586378\pi\) | |||||||
\(6\) | 43.6253 | + | 75.5612i | 0.201969 | + | 0.349821i | ||||
\(7\) | −260.183 | − | 150.217i | −0.758550 | − | 0.437949i | 0.0702248 | − | 0.997531i | \(-0.477628\pi\) |
−0.828775 | + | 0.559582i | \(0.810962\pi\) | |||||||
\(8\) | 267.050 | − | 60.9524i | 0.521582 | − | 0.119048i | ||||
\(9\) | −294.867 | − | 751.308i | −0.404481 | − | 1.03060i | ||||
\(10\) | 278.624 | − | 85.9441i | 0.278624 | − | 0.0859441i | ||||
\(11\) | −688.672 | + | 863.568i | −0.517410 | + | 0.648811i | −0.970057 | − | 0.242879i | \(-0.921908\pi\) |
0.452647 | + | 0.891690i | \(0.350480\pi\) | |||||||
\(12\) | −2307.65 | + | 172.935i | −1.33545 | + | 0.100078i | ||||
\(13\) | −194.444 | − | 59.9779i | −0.0885042 | − | 0.0272999i | 0.250187 | − | 0.968198i | \(-0.419508\pi\) |
−0.338691 | + | 0.940898i | \(0.609984\pi\) | |||||||
\(14\) | −552.601 | + | 376.757i | −0.201385 | + | 0.137302i | ||||
\(15\) | −5076.07 | + | 765.095i | −1.50402 | + | 0.226695i | ||||
\(16\) | −705.177 | + | 3089.58i | −0.172162 | + | 0.754293i | ||||
\(17\) | −2896.09 | − | 2687.18i | −0.589476 | − | 0.546954i | 0.328034 | − | 0.944666i | \(-0.393614\pi\) |
−0.917510 | + | 0.397712i | \(0.869804\pi\) | |||||||
\(18\) | −1791.72 | − | 134.271i | −0.307222 | − | 0.0230231i | ||||
\(19\) | 6018.67 | + | 2362.15i | 0.877485 | + | 0.344388i | 0.760959 | − | 0.648800i | \(-0.224729\pi\) |
0.116526 | + | 0.993188i | \(0.462824\pi\) | |||||||
\(20\) | −1152.61 | + | 7647.07i | −0.144076 | + | 0.955884i | ||||
\(21\) | 10608.8 | − | 5108.94i | 1.14554 | − | 0.551662i | ||||
\(22\) | 1066.88 | + | 2215.40i | 0.100195 | + | 0.208058i | ||||
\(23\) | −9947.15 | − | 1499.29i | −0.817552 | − | 0.123226i | −0.273065 | − | 0.961996i | \(-0.588037\pi\) |
−0.544487 | + | 0.838770i | \(0.683275\pi\) | |||||||
\(24\) | −3922.18 | + | 9993.56i | −0.283723 | + | 0.722914i | ||||
\(25\) | −114.342 | + | 1525.79i | −0.00731788 | + | 0.0976503i | ||||
\(26\) | −308.111 | + | 332.065i | −0.0175302 | + | 0.0188931i | ||||
\(27\) | 2984.23 | + | 681.130i | 0.151614 | + | 0.0346050i | ||||
\(28\) | −2643.83 | − | 17540.7i | −0.120437 | − | 0.799048i | ||||
\(29\) | −8256.13 | − | 12109.5i | −0.338518 | − | 0.496515i | 0.618801 | − | 0.785548i | \(-0.287619\pi\) |
−0.957319 | + | 0.289033i | \(0.906666\pi\) | |||||||
\(30\) | −3368.42 | + | 10920.1i | −0.124756 | + | 0.404450i | ||||
\(31\) | 1510.66 | + | 20158.4i | 0.0507087 | + | 0.676661i | 0.963410 | + | 0.268033i | \(0.0863736\pi\) |
−0.912701 | + | 0.408628i | \(0.866007\pi\) | |||||||
\(32\) | 19221.8 | + | 15328.8i | 0.586601 | + | 0.467799i | ||||
\(33\) | −12760.1 | − | 41367.3i | −0.355069 | − | 1.15110i | ||||
\(34\) | −8187.05 | + | 3213.18i | −0.208301 | + | 0.0817520i | ||||
\(35\) | −8756.18 | − | 38363.3i | −0.204226 | − | 0.894772i | ||||
\(36\) | 23827.3 | − | 41270.0i | 0.510701 | − | 0.884560i | ||||
\(37\) | −22051.8 | + | 12731.6i | −0.435350 | + | 0.251349i | −0.701623 | − | 0.712548i | \(-0.747541\pi\) |
0.266273 | + | 0.963898i | \(0.414208\pi\) | |||||||
\(38\) | 10551.2 | − | 9790.11i | 0.192288 | − | 0.178417i | ||||
\(39\) | 6235.23 | − | 4972.43i | 0.105114 | − | 0.0838253i | ||||
\(40\) | 29643.0 | + | 20210.2i | 0.463171 | + | 0.315785i | ||||
\(41\) | 110543. | + | 53234.5i | 1.60390 | + | 0.772398i | 0.999701 | − | 0.0244341i | \(-0.00777841\pi\) |
0.604200 | + | 0.796833i | \(0.293493\pi\) | |||||||
\(42\) | − | 26213.0i | − | 0.353809i | ||||||
\(43\) | 66717.8 | + | 43244.7i | 0.839143 | + | 0.543910i | ||||
\(44\) | −65216.9 | −0.765600 | ||||||||
\(45\) | 45866.6 | − | 95243.0i | 0.503337 | − | 1.04519i | ||||
\(46\) | −12615.1 | + | 18502.9i | −0.129604 | + | 0.190094i | ||||
\(47\) | 126501. | + | 158627.i | 1.21842 | + | 1.52786i | 0.775568 | + | 0.631264i | \(0.217464\pi\) |
0.442857 | + | 0.896592i | \(0.353965\pi\) | |||||||
\(48\) | −84480.5 | − | 91048.3i | −0.763893 | − | 0.823281i | ||||
\(49\) | −13694.5 | − | 23719.5i | −0.116401 | − | 0.201613i | ||||
\(50\) | 2949.84 | + | 1703.09i | 0.0235988 | + | 0.0136247i | ||||
\(51\) | 150959. | − | 34455.5i | 1.13802 | − | 0.259746i | ||||
\(52\) | −4389.40 | − | 11184.0i | −0.0312173 | − | 0.0795404i | ||||
\(53\) | 83932.2 | − | 25889.7i | 0.563769 | − | 0.173900i | 0.000245660 | − | 1.00000i | \(-0.499922\pi\) |
0.563523 | + | 0.826100i | \(0.309446\pi\) | |||||||
\(54\) | 4248.61 | − | 5327.59i | 0.0269815 | − | 0.0338337i | ||||
\(55\) | −144266. | + | 10811.2i | −0.867112 | + | 0.0649811i | ||||
\(56\) | −78637.8 | − | 24256.5i | −0.447783 | − | 0.138123i | ||||
\(57\) | −209375. | + | 142750.i | −1.13058 | + | 0.770815i | ||||
\(58\) | −32262.8 | + | 4862.83i | −0.165355 | + | 0.0249233i | ||||
\(59\) | −38425.0 | + | 168351.i | −0.187093 | + | 0.819709i | 0.791046 | + | 0.611757i | \(0.209537\pi\) |
−0.978139 | + | 0.207952i | \(0.933320\pi\) | |||||||
\(60\) | −222186. | − | 206159.i | −1.02864 | − | 0.954439i | ||||
\(61\) | −164507. | − | 12328.1i | −0.724760 | − | 0.0543133i | −0.292759 | − | 0.956186i | \(-0.594573\pi\) |
−0.432001 | + | 0.901873i | \(0.642192\pi\) | |||||||
\(62\) | 41891.1 | + | 16441.1i | 0.175771 | + | 0.0689850i | ||||
\(63\) | −36139.7 | + | 239771.i | −0.144532 | + | 0.958904i | ||||
\(64\) | −133422. | + | 64252.5i | −0.508963 | + | 0.245104i | ||||
\(65\) | −11563.8 | − | 24012.4i | −0.0421075 | − | 0.0874371i | ||||
\(66\) | −95295.8 | − | 14363.5i | −0.331468 | − | 0.0499608i | ||||
\(67\) | 96234.1 | − | 245200.i | 0.319966 | − | 0.815261i | −0.676894 | − | 0.736081i | \(-0.736674\pi\) |
0.996860 | − | 0.0791805i | \(-0.0252304\pi\) | |||||||
\(68\) | 17432.1 | − | 232616.i | 0.0554401 | − | 0.739796i | ||||
\(69\) | 268167. | − | 289015.i | 0.816316 | − | 0.879779i | ||||
\(70\) | −85403.4 | − | 19492.8i | −0.248989 | − | 0.0568302i | ||||
\(71\) | 59714.9 | + | 396182.i | 0.166843 | + | 1.10693i | 0.902850 | + | 0.429956i | \(0.141471\pi\) |
−0.736007 | + | 0.676974i | \(0.763291\pi\) | |||||||
\(72\) | −124538. | − | 182664.i | −0.333660 | − | 0.489390i | ||||
\(73\) | −153990. | + | 499223.i | −0.395844 | + | 1.28329i | 0.510180 | + | 0.860068i | \(0.329579\pi\) |
−0.906024 | + | 0.423227i | \(0.860897\pi\) | |||||||
\(74\) | 4236.11 | + | 56527.0i | 0.0104538 | + | 0.139496i | ||||
\(75\) | −46884.9 | − | 37389.4i | −0.111134 | − | 0.0886268i | ||||
\(76\) | 112525. | + | 364796.i | 0.256335 | + | 0.831017i | ||||
\(77\) | 308903. | − | 121235.i | 0.676627 | − | 0.265557i | ||||
\(78\) | −3950.66 | − | 17309.0i | −0.00832502 | − | 0.0364743i | ||||
\(79\) | −313604. | + | 543178.i | −0.636064 | + | 1.10169i | 0.350225 | + | 0.936666i | \(0.386105\pi\) |
−0.986289 | + | 0.165029i | \(0.947228\pi\) | |||||||
\(80\) | −359463. | + | 207536.i | −0.702076 | + | 0.405344i | ||||
\(81\) | 343366. | − | 318597.i | 0.646104 | − | 0.599497i | ||||
\(82\) | 213546. | − | 170297.i | 0.387302 | − | 0.308863i | ||||
\(83\) | −421420. | − | 287319.i | −0.737022 | − | 0.502493i | 0.135676 | − | 0.990753i | \(-0.456679\pi\) |
−0.872698 | + | 0.488260i | \(0.837632\pi\) | |||||||
\(84\) | 626389. | + | 301653.i | 1.05683 | + | 0.508944i | ||||
\(85\) | − | 517457.i | − | 0.842592i | ||||||
\(86\) | 151179. | − | 92046.6i | 0.237682 | − | 0.144715i | ||||
\(87\) | 574422. | 0.872315 | ||||||||
\(88\) | −131273. | + | 272592.i | −0.192632 | + | 0.400004i | ||||
\(89\) | −340.516 | + | 499.445i | −0.000483022 | + | 0.000708463i | −0.826480 | − | 0.562966i | \(-0.809660\pi\) |
0.825997 | + | 0.563674i | \(0.190613\pi\) | |||||||
\(90\) | −146727. | − | 183990.i | −0.201272 | − | 0.252387i | ||||
\(91\) | 41581.2 | + | 44813.9i | 0.0551789 | + | 0.0594687i | ||||
\(92\) | −296978. | − | 514380.i | −0.381382 | − | 0.660573i | ||||
\(93\) | −686140. | − | 396143.i | −0.853029 | − | 0.492497i | ||||
\(94\) | 440346. | − | 100506.i | 0.530164 | − | 0.121007i | ||||
\(95\) | 309389. | + | 788310.i | 0.360856 | + | 0.919446i | ||||
\(96\) | −920774. | + | 284021.i | −1.04073 | + | 0.321024i | ||||
\(97\) | 880902. | − | 1.10462e6i | 0.965189 | − | 1.21031i | −0.0124295 | − | 0.999923i | \(-0.503957\pi\) |
0.977618 | − | 0.210386i | \(-0.0674720\pi\) | |||||||
\(98\) | −60802.0 | + | 4556.48i | −0.0646011 | + | 0.00484118i | ||||
\(99\) | 851872. | + | 262768.i | 0.877948 | + | 0.270811i | ||||
\(100\) | −74643.5 | + | 50891.1i | −0.0746435 | + | 0.0508911i | ||||
\(101\) | 534907. | − | 80624.3i | 0.519176 | − | 0.0782532i | 0.115773 | − | 0.993276i | \(-0.463065\pi\) |
0.403403 | + | 0.915023i | \(0.367827\pi\) | |||||||
\(102\) | 76703.9 | − | 336062.i | 0.0722798 | − | 0.316678i | ||||
\(103\) | −916821. | − | 850686.i | −0.839021 | − | 0.778498i | 0.138271 | − | 0.990394i | \(-0.455846\pi\) |
−0.977292 | + | 0.211896i | \(0.932036\pi\) | |||||||
\(104\) | −55581.9 | − | 4165.29i | −0.0494121 | − | 0.00370293i | ||||
\(105\) | 1.43564e6 | + | 563446.i | 1.24016 | + | 0.486726i | ||||
\(106\) | 29142.9 | − | 193351.i | 0.0244689 | − | 0.162341i | ||||
\(107\) | −897417. | + | 432173.i | −0.732560 | + | 0.352782i | −0.762690 | − | 0.646764i | \(-0.776122\pi\) |
0.0301307 | + | 0.999546i | \(0.490408\pi\) | |||||||
\(108\) | 78416.9 | + | 162834.i | 0.0622499 | + | 0.129263i | ||||
\(109\) | 944694. | + | 142390.i | 0.729477 | + | 0.109951i | 0.503271 | − | 0.864129i | \(-0.332130\pi\) |
0.226206 | + | 0.974080i | \(0.427368\pi\) | |||||||
\(110\) | −117662. | + | 299798.i | −0.0884013 | + | 0.225243i | ||||
\(111\) | 74579.3 | − | 995192.i | 0.0545317 | − | 0.727676i | ||||
\(112\) | 647582. | − | 697927.i | 0.460936 | − | 0.496771i | ||||
\(113\) | 2.35137e6 | + | 536685.i | 1.62962 | + | 0.371949i | 0.936993 | − | 0.349349i | \(-0.113597\pi\) |
0.692624 | + | 0.721299i | \(0.256454\pi\) | |||||||
\(114\) | 84079.0 | + | 557828.i | 0.0567510 | + | 0.376518i | ||||
\(115\) | −742212. | − | 1.08863e6i | −0.488017 | − | 0.715789i | ||||
\(116\) | 255070. | − | 826917.i | 0.163413 | − | 0.529771i | ||||
\(117\) | 12273.1 | + | 163773.i | 0.00766293 | + | 0.102255i | ||||
\(118\) | 300549. | + | 239680.i | 0.182923 | + | 0.145876i | ||||
\(119\) | 349854. | + | 1.13420e6i | 0.207609 | + | 0.673052i | ||||
\(120\) | −1.30893e6 | + | 513717.i | −0.757483 | + | 0.297290i | ||||
\(121\) | 122730. | + | 537714.i | 0.0692777 | + | 0.303525i | ||||
\(122\) | −183624. | + | 318045.i | −0.101123 | + | 0.175150i | ||||
\(123\) | −4.16447e6 | + | 2.40436e6i | −2.23792 | + | 1.29206i | ||||
\(124\) | −874952. | + | 811837.i | −0.458901 | + | 0.425798i | ||||
\(125\) | 1.44335e6 | − | 1.15104e6i | 0.738997 | − | 0.589330i | ||||
\(126\) | 446004. | + | 304081.i | 0.222960 | + | 0.152012i | ||||
\(127\) | −1.97081e6 | − | 949090.i | −0.962127 | − | 0.463336i | −0.114205 | − | 0.993457i | \(-0.536432\pi\) |
−0.847922 | + | 0.530121i | \(0.822146\pi\) | |||||||
\(128\) | 1.90314e6i | 0.907489i | ||||||||
\(129\) | −2.87340e6 | + | 1.20575e6i | −1.33853 | + | 0.561677i | ||||
\(130\) | −59331.4 | −0.0270057 | ||||||||
\(131\) | 53902.6 | − | 111930.i | 0.0239770 | − | 0.0497888i | −0.888636 | − | 0.458612i | \(-0.848347\pi\) |
0.912613 | + | 0.408824i | \(0.134061\pi\) | |||||||
\(132\) | 1.43988e6 | − | 2.11191e6i | 0.626042 | − | 0.918235i | ||||
\(133\) | −1.21112e6 | − | 1.51870e6i | −0.514792 | − | 0.645529i | ||||
\(134\) | −398849. | − | 429857.i | −0.165765 | − | 0.178653i | ||||
\(135\) | 200459. | + | 347205.i | 0.0814750 | + | 0.141119i | ||||
\(136\) | −937191. | − | 541088.i | −0.372573 | − | 0.215105i | ||||
\(137\) | 1.35846e6 | − | 310059.i | 0.528304 | − | 0.120582i | 0.0499545 | − | 0.998751i | \(-0.484092\pi\) |
0.478349 | + | 0.878170i | \(0.341235\pi\) | |||||||
\(138\) | −320659. | − | 817026.i | −0.122013 | − | 0.310884i | ||||
\(139\) | 326793. | − | 100802.i | 0.121682 | − | 0.0375341i | −0.233316 | − | 0.972401i | \(-0.574958\pi\) |
0.354998 | + | 0.934867i | \(0.384481\pi\) | |||||||
\(140\) | 1.44861e6 | − | 1.81649e6i | 0.527918 | − | 0.661988i | ||||
\(141\) | −7.92970e6 | + | 594249.i | −2.82878 | + | 0.211988i | ||||
\(142\) | 852306. | + | 262902.i | 0.297667 | + | 0.0918180i | ||||
\(143\) | 185703. | − | 126610.i | 0.0635054 | − | 0.0432972i | ||||
\(144\) | 2.52916e6 | − | 381210.i | 0.847011 | − | 0.127666i | ||||
\(145\) | 427158. | − | 1.87150e6i | 0.140115 | − | 0.613883i | ||||
\(146\) | 852559. | + | 791059.i | 0.273947 | + | 0.254185i | ||||
\(147\) | 1.07046e6 | + | 80219.7i | 0.336990 | + | 0.0252539i | ||||
\(148\) | −1.39953e6 | − | 549273.i | −0.431714 | − | 0.169435i | ||||
\(149\) | −281893. | + | 1.87024e6i | −0.0852169 | + | 0.565377i | 0.904953 | + | 0.425511i | \(0.139906\pi\) |
−0.990170 | + | 0.139867i | \(0.955333\pi\) | |||||||
\(150\) | −120278. | + | 57923.1i | −0.0356381 | + | 0.0171624i | ||||
\(151\) | 2.56395e6 | + | 5.32411e6i | 0.744697 | + | 1.54638i | 0.834867 | + | 0.550452i | \(0.185545\pi\) |
−0.0901697 | + | 0.995926i | \(0.528741\pi\) | |||||||
\(152\) | 1.75126e6 | + | 263961.i | 0.498679 | + | 0.0751637i | ||||
\(153\) | −1.16494e6 | + | 2.96822e6i | −0.325259 | + | 0.828746i | ||||
\(154\) | 55205.9 | − | 736671.i | 0.0151155 | − | 0.201703i | ||||
\(155\) | −1.80089e6 | + | 1.94090e6i | −0.483607 | + | 0.521205i | ||||
\(156\) | 459081. | + | 104782.i | 0.120925 | + | 0.0276003i | ||||
\(157\) | −970512. | − | 6.43893e6i | −0.250785 | − | 1.66385i | −0.659888 | − | 0.751364i | \(-0.729396\pi\) |
0.409103 | − | 0.912488i | \(-0.365842\pi\) | |||||||
\(158\) | 786549. | + | 1.15366e6i | 0.199413 | + | 0.292486i | ||||
\(159\) | −1.01470e6 | + | 3.28956e6i | −0.252432 | + | 0.818365i | ||||
\(160\) | 240642. | + | 3.21114e6i | 0.0587505 | + | 0.783971i | ||||
\(161\) | 2.36286e6 | + | 1.88432e6i | 0.566187 | + | 0.451519i | ||||
\(162\) | −307357. | − | 996427.i | −0.0722933 | − | 0.234369i | ||||
\(163\) | −400195. | + | 157065.i | −0.0924078 | + | 0.0362674i | −0.411095 | − | 0.911593i | \(-0.634853\pi\) |
0.318687 | + | 0.947860i | \(0.396758\pi\) | |||||||
\(164\) | 1.61201e6 | + | 7.06267e6i | 0.365457 | + | 1.60117i | ||||
\(165\) | 2.83504e6 | − | 4.91043e6i | 0.631113 | − | 1.09312i | ||||
\(166\) | −983328. | + | 567725.i | −0.214968 | + | 0.124112i | ||||
\(167\) | 5.14141e6 | − | 4.77053e6i | 1.10391 | − | 1.02428i | 0.104350 | − | 0.994541i | \(-0.466724\pi\) |
0.999558 | − | 0.0297366i | \(-0.00946684\pi\) | |||||||
\(168\) | 2.52168e6 | − | 2.01097e6i | 0.531817 | − | 0.424110i | ||||
\(169\) | −3.95389e6 | − | 2.69571e6i | −0.819151 | − | 0.558488i | ||||
\(170\) | −1.03787e6 | − | 499811.i | −0.211250 | − | 0.101732i | ||||
\(171\) | − | 5.21840e6i | − | 1.04364i | ||||||
\(172\) | 459824. | + | 4.67185e6i | 0.0903663 | + | 0.918129i | ||||
\(173\) | 5.72699e6 | 1.10608 | 0.553042 | − | 0.833154i | \(-0.313467\pi\) | ||||
0.553042 | + | 0.833154i | \(0.313467\pi\) | |||||||
\(174\) | 554834. | − | 1.15212e6i | 0.105321 | − | 0.218701i | ||||
\(175\) | 258948. | − | 379807.i | 0.0483168 | − | 0.0708678i | ||||
\(176\) | −2.18243e6 | − | 2.73668e6i | −0.400315 | − | 0.501979i | ||||
\(177\) | −4.60333e6 | − | 4.96121e6i | −0.830142 | − | 0.894680i | ||||
\(178\) | 672.838 | + | 1165.39i | 0.000119303 | + | 0.000206638i | ||||
\(179\) | −1.02411e6 | − | 591273.i | −0.178562 | − | 0.103093i | 0.408055 | − | 0.912957i | \(-0.366207\pi\) |
−0.586617 | + | 0.809865i | \(0.699541\pi\) | |||||||
\(180\) | 6.08517e6 | − | 1.38890e6i | 1.04341 | − | 0.238152i | ||||
\(181\) | −3.18195e6 | − | 8.10748e6i | −0.536609 | − | 1.36726i | −0.900110 | − | 0.435663i | \(-0.856514\pi\) |
0.363502 | − | 0.931594i | \(-0.381581\pi\) | |||||||
\(182\) | 130047. | − | 40114.2i | 0.0215718 | − | 0.00665401i | ||||
\(183\) | 4.03124e6 | − | 5.05502e6i | 0.657788 | − | 0.824839i | ||||
\(184\) | −2.74777e6 | + | 205917.i | −0.441090 | + | 0.0330551i | ||||
\(185\) | −3.18693e6 | − | 983039.i | −0.503336 | − | 0.155259i | ||||
\(186\) | −1.45729e6 | + | 993564.i | −0.226468 | + | 0.154404i | ||||
\(187\) | 4.31502e6 | − | 650385.i | 0.659870 | − | 0.0994594i | ||||
\(188\) | −2.66570e6 | + | 1.16792e7i | −0.401178 | + | 1.75768i | ||||
\(189\) | −674127. | − | 625499.i | −0.0998519 | − | 0.0926490i | ||||
\(190\) | 1.87996e6 | + | 140884.i | 0.274087 | + | 0.0205400i | ||||
\(191\) | 1.04344e7 | + | 4.09519e6i | 1.49750 | + | 0.587724i | 0.965818 | − | 0.259222i | \(-0.0834661\pi\) |
0.531679 | + | 0.846946i | \(0.321561\pi\) | |||||||
\(192\) | 865039. | − | 5.73916e6i | 0.122217 | − | 0.810857i | ||||
\(193\) | −5.37178e6 | + | 2.58691e6i | −0.747217 | + | 0.359841i | −0.768430 | − | 0.639934i | \(-0.778962\pi\) |
0.0212129 | + | 0.999775i | \(0.493247\pi\) | |||||||
\(194\) | −1.36468e6 | − | 2.83378e6i | −0.186907 | − | 0.388116i | ||||
\(195\) | 1.03290e6 | + | 155684.i | 0.139301 | + | 0.0209962i | ||||
\(196\) | 590814. | − | 1.50537e6i | 0.0784662 | − | 0.199929i | ||||
\(197\) | −195020. | + | 2.60236e6i | −0.0255082 | + | 0.340383i | 0.969819 | + | 0.243825i | \(0.0784024\pi\) |
−0.995327 | + | 0.0965580i | \(0.969217\pi\) | |||||||
\(198\) | 1.34986e6 | − | 1.45480e6i | 0.173897 | − | 0.187417i | ||||
\(199\) | −1.28973e7 | − | 2.94373e6i | −1.63659 | − | 0.373542i | −0.697334 | − | 0.716747i | \(-0.745630\pi\) |
−0.939261 | + | 0.343205i | \(0.888488\pi\) | |||||||
\(200\) | 62465.3 | + | 414430.i | 0.00780816 | + | 0.0518038i | ||||
\(201\) | 5.81561e6 | + | 8.52993e6i | 0.716155 | + | 1.05041i | ||||
\(202\) | 354958. | − | 1.15074e6i | 0.0430648 | − | 0.139613i | ||||
\(203\) | 329052. | + | 4.39089e6i | 0.0393347 | + | 0.524886i | ||||
\(204\) | 7.14789e6 | + | 5.70025e6i | 0.841952 | + | 0.671434i | ||||
\(205\) | 4.73671e6 | + | 1.53560e7i | 0.549814 | + | 1.78245i | ||||
\(206\) | −2.59179e6 | + | 1.01720e6i | −0.296482 | + | 0.116360i | ||||
\(207\) | 1.80665e6 | + | 7.91546e6i | 0.203687 | + | 0.892412i | ||||
\(208\) | 322424. | − | 558455.i | 0.0358292 | − | 0.0620581i | ||||
\(209\) | −6.18477e6 | + | 3.57078e6i | −0.677462 | + | 0.391133i | ||||
\(210\) | 2.51679e6 | − | 2.33524e6i | 0.271762 | − | 0.252159i | ||||
\(211\) | 9.02871e6 | − | 7.20016e6i | 0.961122 | − | 0.766469i | −0.0112429 | − | 0.999937i | \(-0.503579\pi\) |
0.972365 | + | 0.233468i | \(0.0750074\pi\) | |||||||
\(212\) | 4.28497e6 | + | 2.92144e6i | 0.449717 | + | 0.306612i | ||||
\(213\) | −1.41479e7 | − | 6.81328e6i | −1.46404 | − | 0.705046i | ||||
\(214\) | 2.21740e6i | 0.226257i | ||||||||
\(215\) | 1.79164e6 | + | 1.02583e7i | 0.180275 | + | 1.03219i | ||||
\(216\) | 838454. | 0.0831989 | ||||||||
\(217\) | 2.63508e6 | − | 5.47180e6i | 0.257878 | − | 0.535489i | ||||
\(218\) | 1.19807e6 | − | 1.75725e6i | 0.115641 | − | 0.169615i | ||||
\(219\) | −1.27665e7 | − | 1.60086e7i | −1.21545 | − | 1.52413i | ||||
\(220\) | −5.80999e6 | − | 6.26168e6i | −0.545642 | − | 0.588062i | ||||
\(221\) | 401955. | + | 696207.i | 0.0372393 | + | 0.0645003i | ||||
\(222\) | −1.92403e6 | − | 1.11084e6i | −0.175854 | − | 0.101530i | ||||
\(223\) | 8.44343e6 | − | 1.92716e6i | 0.761385 | − | 0.173781i | 0.175838 | − | 0.984419i | \(-0.443737\pi\) |
0.585548 | + | 0.810638i | \(0.300880\pi\) | |||||||
\(224\) | −2.69852e6 | − | 6.87572e6i | −0.240094 | − | 0.611750i | ||||
\(225\) | 1.18005e6 | − | 363997.i | 0.103598 | − | 0.0319559i | ||||
\(226\) | 3.34762e6 | − | 4.19779e6i | 0.290009 | − | 0.363659i | ||||
\(227\) | −4.67454e6 | + | 350308.i | −0.399633 | + | 0.0299483i | −0.273031 | − | 0.962005i | \(-0.588026\pi\) |
−0.126602 | + | 0.991954i | \(0.540407\pi\) | |||||||
\(228\) | −1.42975e7 | − | 4.41020e6i | −1.20630 | − | 0.372095i | ||||
\(229\) | −174505. | + | 118975.i | −0.0145312 | + | 0.00990719i | −0.570564 | − | 0.821253i | \(-0.693275\pi\) |
0.556033 | + | 0.831160i | \(0.312323\pi\) | |||||||
\(230\) | −2.90037e6 | + | 437161.i | −0.238380 | + | 0.0359300i | ||||
\(231\) | −2.89409e6 | + | 1.26798e7i | −0.234788 | + | 1.02867i | ||||
\(232\) | −2.94290e6 | − | 2.73061e6i | −0.235674 | − | 0.218673i | ||||
\(233\) | −5.33010e6 | − | 399436.i | −0.421374 | − | 0.0315776i | −0.137644 | − | 0.990482i | \(-0.543953\pi\) |
−0.283730 | + | 0.958904i | \(0.591572\pi\) | |||||||
\(234\) | 340335. | + | 133572.i | 0.0265619 | + | 0.0104248i | ||||
\(235\) | −3.96067e6 | + | 2.62773e7i | −0.305186 | + | 2.02478i | ||||
\(236\) | −9.18608e6 | + | 4.42378e6i | −0.698866 | + | 0.336556i | ||||
\(237\) | −1.06658e7 | − | 2.21478e7i | −0.801216 | − | 1.66374i | ||||
\(238\) | 2.61280e6 | + | 393816.i | 0.193810 | + | 0.0292121i | ||||
\(239\) | −1.13435e6 | + | 2.89026e6i | −0.0830905 | + | 0.211711i | −0.966381 | − | 0.257116i | \(-0.917228\pi\) |
0.883290 | + | 0.468827i | \(0.155323\pi\) | |||||||
\(240\) | 1.21571e6 | − | 1.62225e7i | 0.0879418 | − | 1.17350i | ||||
\(241\) | −1.51561e7 | + | 1.63343e7i | −1.08277 | + | 1.16695i | −0.0976216 | + | 0.995224i | \(0.531123\pi\) |
−0.985145 | + | 0.171722i | \(0.945067\pi\) | |||||||
\(242\) | 1.19704e6 | + | 273217.i | 0.0844625 | + | 0.0192780i | ||||
\(243\) | 3.06875e6 | + | 2.03598e7i | 0.213866 | + | 1.41891i | ||||
\(244\) | −5.48696e6 | − | 8.04790e6i | −0.377714 | − | 0.554004i | ||||
\(245\) | 1.05739e6 | − | 3.42796e6i | 0.0719010 | − | 0.233097i | ||||
\(246\) | 799988. | + | 1.06751e7i | 0.0537376 | + | 0.717078i | ||||
\(247\) | −1.02862e6 | − | 820293.i | −0.0682593 | − | 0.0544350i | ||||
\(248\) | 1.63213e6 | + | 5.29122e6i | 0.107004 | + | 0.346897i | ||||
\(249\) | 1.86084e7 | − | 7.30327e6i | 1.20535 | − | 0.473063i | ||||
\(250\) | −914511. | − | 4.00673e6i | −0.0585287 | − | 0.256431i | ||||
\(251\) | 9.94756e6 | − | 1.72297e7i | 0.629065 | − | 1.08957i | −0.358675 | − | 0.933463i | \(-0.616771\pi\) |
0.987740 | − | 0.156110i | \(-0.0498955\pi\) | |||||||
\(252\) | −1.23989e7 | + | 7.15850e6i | −0.774784 | + | 0.447322i | ||||
\(253\) | 8.14507e6 | − | 7.55752e6i | 0.502960 | − | 0.466678i | ||||
\(254\) | −3.80720e6 | + | 3.03614e6i | −0.232330 | + | 0.185277i | ||||
\(255\) | 1.67567e7 | + | 1.14245e7i | 1.01058 | + | 0.688999i | ||||
\(256\) | −4.72183e6 | − | 2.27391e6i | −0.281443 | − | 0.135536i | ||||
\(257\) | − | 2.99374e6i | − | 0.176366i | −0.996104 | − | 0.0881831i | \(-0.971894\pi\) | ||
0.996104 | − | 0.0881831i | \(-0.0281061\pi\) | |||||||
\(258\) | −357038. | + | 6.92784e6i | −0.0207900 | + | 0.403403i | ||||
\(259\) | 7.64999e6 | 0.440313 | ||||||||
\(260\) | 682773. | − | 1.41779e6i | 0.0388469 | − | 0.0806664i | ||||
\(261\) | −6.66352e6 | + | 9.77359e6i | −0.374785 | + | 0.549708i | ||||
\(262\) | −172434. | − | 216226.i | −0.00958783 | − | 0.0120228i | ||||
\(263\) | −4.05235e6 | − | 4.36739e6i | −0.222761 | − | 0.240079i | 0.611776 | − | 0.791031i | \(-0.290455\pi\) |
−0.834537 | + | 0.550952i | \(0.814265\pi\) | |||||||
\(264\) | −5.92902e6 | − | 1.02694e7i | −0.322234 | − | 0.558125i | ||||
\(265\) | 9.96303e6 | + | 5.75216e6i | 0.535370 | + | 0.309096i | ||||
\(266\) | −4.21589e6 | + | 962248.i | −0.223998 | + | 0.0511261i | ||||
\(267\) | −8655.46 | − | 22053.7i | −0.000454733 | − | 0.00115864i | ||||
\(268\) | 1.48618e7 | − | 4.58425e6i | 0.772088 | − | 0.238158i | ||||
\(269\) | 1.10748e7 | − | 1.38874e7i | 0.568957 | − | 0.713450i | −0.411228 | − | 0.911533i | \(-0.634900\pi\) |
0.980185 | + | 0.198083i | \(0.0634714\pi\) | |||||||
\(270\) | 890017. | − | 66697.5i | 0.0452175 | − | 0.00338859i | ||||
\(271\) | 3.13858e7 | + | 9.68123e6i | 1.57698 | + | 0.486433i | 0.955001 | − | 0.296604i | \(-0.0958541\pi\) |
0.621976 | + | 0.783037i | \(0.286330\pi\) | |||||||
\(272\) | 1.03445e7 | − | 7.05279e6i | 0.514049 | − | 0.350473i | ||||
\(273\) | −2.36924e6 | + | 357106.i | −0.116445 | + | 0.0175513i | ||||
\(274\) | 690244. | − | 3.02416e6i | 0.0335545 | − | 0.147012i | ||||
\(275\) | −1.23888e6 | − | 1.14951e6i | −0.0595703 | − | 0.0552731i | ||||
\(276\) | 2.32139e7 | + | 1.73964e6i | 1.10413 | + | 0.0827431i | ||||
\(277\) | 3.27412e7 | + | 1.28500e7i | 1.54048 | + | 0.604592i | 0.975399 | − | 0.220447i | \(-0.0707515\pi\) |
0.565076 | + | 0.825039i | \(0.308847\pi\) | |||||||
\(278\) | 113469. | − | 752817.i | 0.00528132 | − | 0.0350393i | ||||
\(279\) | 1.46997e7 | − | 7.07902e6i | 0.676857 | − | 0.325957i | ||||
\(280\) | −4.67667e6 | − | 9.71121e6i | −0.213041 | − | 0.442384i | ||||
\(281\) | 3.03718e7 | + | 4.57781e6i | 1.36883 | + | 0.206319i | 0.791989 | − | 0.610535i | \(-0.209046\pi\) |
0.576845 | + | 0.816854i | \(0.304284\pi\) | |||||||
\(282\) | −6.46740e6 | + | 1.64787e7i | −0.288392 | + | 0.734810i | ||||
\(283\) | 2.29808e6 | − | 3.06657e7i | 0.101392 | − | 1.35299i | −0.681951 | − | 0.731398i | \(-0.738868\pi\) |
0.783343 | − | 0.621589i | \(-0.213513\pi\) | |||||||
\(284\) | −1.60905e7 | + | 1.73414e7i | −0.702448 | + | 0.757059i | ||||
\(285\) | −3.23585e7 | − | 7.38561e6i | −1.39783 | − | 0.319045i | ||||
\(286\) | −74573.0 | − | 494759.i | −0.00318774 | − | 0.0211493i | ||||
\(287\) | −2.07645e7 | − | 3.04560e7i | −0.878369 | − | 1.28833i | ||||
\(288\) | 5.84882e6 | − | 1.89614e7i | 0.244845 | − | 0.793767i | ||||
\(289\) | −637392. | − | 8.50541e6i | −0.0264066 | − | 0.352372i | ||||
\(290\) | −3.34110e6 | − | 2.66444e6i | −0.136992 | − | 0.109247i | ||||
\(291\) | 1.63218e7 | + | 5.29141e7i | 0.662354 | + | 2.14730i | ||||
\(292\) | −2.87143e7 | + | 1.12695e7i | −1.15332 | + | 0.452645i | ||||
\(293\) | −5.49756e6 | − | 2.40864e7i | −0.218558 | − | 0.957567i | −0.958544 | − | 0.284944i | \(-0.908025\pi\) |
0.739986 | − | 0.672623i | \(-0.234832\pi\) | |||||||
\(294\) | 1.19485e6 | − | 2.06954e6i | 0.0470188 | − | 0.0814390i | ||||
\(295\) | −1.95871e7 | + | 1.13086e7i | −0.762964 | + | 0.440497i | ||||
\(296\) | −5.11290e6 | + | 4.74408e6i | −0.197148 | + | 0.182927i | ||||
\(297\) | −2.64336e6 | + | 2.10801e6i | −0.100899 | + | 0.0804642i | ||||
\(298\) | 3.47888e6 | + | 2.37186e6i | 0.131459 | + | 0.0896273i | ||||
\(299\) | 1.84424e6 | + | 888137.i | 0.0689927 | + | 0.0332251i | ||||
\(300\) | − | 3.54076e6i | − | 0.131139i | ||||||
\(301\) | −1.08627e7 | − | 2.12736e7i | −0.398327 | − | 0.780085i | ||||
\(302\) | 1.31551e7 | 0.477612 | ||||||||
\(303\) | −9.19898e6 | + | 1.91019e7i | −0.330683 | + | 0.686670i | ||||
\(304\) | −1.15423e7 | + | 1.69295e7i | −0.410839 | + | 0.602590i | ||||
\(305\) | −1.34718e7 | − | 1.68931e7i | −0.474817 | − | 0.595401i | ||||
\(306\) | 4.82818e6 | + | 5.20354e6i | 0.168507 | + | 0.181608i | ||||
\(307\) | −1.35005e7 | − | 2.33836e7i | −0.466590 | − | 0.808158i | 0.532682 | − | 0.846316i | \(-0.321184\pi\) |
−0.999272 | + | 0.0381580i | \(0.987851\pi\) | |||||||
\(308\) | 1.69683e7 | + | 9.79666e6i | 0.580746 | + | 0.335294i | ||||
\(309\) | 4.77895e7 | − | 1.09076e7i | 1.61978 | − | 0.369705i | ||||
\(310\) | 2.15341e6 | + | 5.48679e6i | 0.0722837 | + | 0.184176i | ||||
\(311\) | 3.34240e7 | − | 1.03099e7i | 1.11116 | − | 0.342748i | 0.315764 | − | 0.948838i | \(-0.397739\pi\) |
0.795396 | + | 0.606090i | \(0.207263\pi\) | |||||||
\(312\) | 1.36204e6 | − | 1.70794e6i | 0.0448461 | − | 0.0562353i | ||||
\(313\) | −3.26368e7 | + | 2.44579e6i | −1.06433 | + | 0.0797602i | −0.595362 | − | 0.803457i | \(-0.702991\pi\) |
−0.468964 | + | 0.883218i | \(0.655372\pi\) | |||||||
\(314\) | −1.38520e7 | − | 4.27279e6i | −0.447430 | − | 0.138014i | ||||
\(315\) | −2.62408e7 | + | 1.78907e7i | −0.839547 | + | 0.572394i | ||||
\(316\) | −3.66194e7 | + | 5.51948e6i | −1.16051 | + | 0.174919i | ||||
\(317\) | −1.09285e7 | + | 4.78809e7i | −0.343070 | + | 1.50309i | 0.449485 | + | 0.893288i | \(0.351607\pi\) |
−0.792555 | + | 0.609800i | \(0.791250\pi\) | |||||||
\(318\) | 5.61782e6 | + | 5.21258e6i | 0.174697 | + | 0.162096i | ||||
\(319\) | 1.61432e7 | + | 1.20976e6i | 0.497298 | + | 0.0372673i | ||||
\(320\) | −1.80552e7 | − | 7.08616e6i | −0.551002 | − | 0.216253i | ||||
\(321\) | 5.81840e6 | − | 3.86026e7i | 0.175909 | − | 1.16708i | ||||
\(322\) | 6.06168e6 | − | 2.91915e6i | 0.181562 | − | 0.0874357i | ||||
\(323\) | −1.10831e7 | − | 2.30143e7i | −0.328892 | − | 0.682952i | ||||
\(324\) | 2.73478e7 | + | 4.12201e6i | 0.804057 | + | 0.121192i | ||||
\(325\) | 113747. | − | 289821.i | 0.00331351 | − | 0.00844268i | ||||
\(326\) | −71521.2 | + | 954384.i | −0.00206434 | + | 0.0275467i | ||||
\(327\) | −2.54682e7 | + | 2.74482e7i | −0.728374 | + | 0.785001i | ||||
\(328\) | 3.27651e7 | + | 7.47842e6i | 0.928518 | + | 0.211928i | ||||
\(329\) | −9.08490e6 | − | 6.02744e7i | −0.255113 | − | 1.69256i | ||||
\(330\) | −7.11055e6 | − | 1.04293e7i | −0.197861 | − | 0.290209i | ||||
\(331\) | −1.35089e7 | + | 4.37948e7i | −0.372508 | + | 1.20764i | 0.554367 | + | 0.832273i | \(0.312961\pi\) |
−0.926875 | + | 0.375370i | \(0.877516\pi\) | |||||||
\(332\) | −2.25051e6 | − | 3.00310e7i | −0.0614989 | − | 0.820646i | ||||
\(333\) | 1.60677e7 | + | 1.28136e7i | 0.435132 | + | 0.347006i | ||||
\(334\) | −4.60222e6 | − | 1.49200e7i | −0.123517 | − | 0.400434i | ||||
\(335\) | 3.21157e7 | − | 1.26045e7i | 0.854246 | − | 0.335267i | ||||
\(336\) | 8.30340e6 | + | 3.63796e7i | 0.218896 | + | 0.959047i | ||||
\(337\) | 351023. | − | 607989.i | 0.00917161 | − | 0.0158857i | −0.861403 | − | 0.507922i | \(-0.830414\pi\) |
0.870575 | + | 0.492036i | \(0.163747\pi\) | |||||||
\(338\) | −9.22588e6 | + | 5.32657e6i | −0.238923 | + | 0.137942i | ||||
\(339\) | −6.92935e7 | + | 6.42950e7i | −1.77866 | + | 1.65036i | ||||
\(340\) | 2.38871e7 | − | 1.90494e7i | 0.607754 | − | 0.484667i | ||||
\(341\) | −1.84485e7 | − | 1.25780e7i | −0.465263 | − | 0.317211i | ||||
\(342\) | −1.04666e7 | − | 5.04045e6i | −0.261654 | − | 0.126006i | ||||
\(343\) | 4.35742e7i | 1.07981i | ||||||||
\(344\) | 2.04528e7 | + | 7.48187e6i | 0.502433 | + | 0.183796i | ||||
\(345\) | 5.16396e7 | 1.25755 | ||||||||
\(346\) | 5.53170e6 | − | 1.14867e7i | 0.133546 | − | 0.277311i | ||||
\(347\) | −2.90719e7 | + | 4.26406e7i | −0.695800 | + | 1.02055i | 0.301938 | + | 0.953328i | \(0.402367\pi\) |
−0.997738 | + | 0.0672240i | \(0.978586\pi\) | |||||||
\(348\) | 2.11464e7 | + | 2.65168e7i | 0.501764 | + | 0.629192i | ||||
\(349\) | 4.49899e6 | + | 4.84876e6i | 0.105837 | + | 0.114066i | 0.783749 | − | 0.621078i | \(-0.213305\pi\) |
−0.677911 | + | 0.735144i | \(0.737115\pi\) | |||||||
\(350\) | −511666. | − | 886231.i | −0.0119339 | − | 0.0206701i | ||||
\(351\) | −539411. | − | 311429.i | −0.0124738 | − | 0.00720175i | ||||
\(352\) | −2.64750e7 | + | 6.04274e6i | −0.607026 | + | 0.138550i | ||||
\(353\) | −7.90543e6 | − | 2.01427e7i | −0.179722 | − | 0.457924i | 0.812415 | − | 0.583079i | \(-0.198152\pi\) |
−0.992137 | + | 0.125155i | \(0.960057\pi\) | |||||||
\(354\) | −1.43971e7 | + | 4.44092e6i | −0.324538 | + | 0.100107i | ||||
\(355\) | −3.27189e7 | + | 4.10282e7i | −0.731330 | + | 0.917059i | ||||
\(356\) | −35591.2 | + | 2667.19i | −0.000788847 | + | 5.91159e-5i | ||||
\(357\) | −4.44528e7 | − | 1.37119e7i | −0.977000 | − | 0.301365i | ||||
\(358\) | −2.17511e6 | + | 1.48297e6i | −0.0474060 | + | 0.0323208i | ||||
\(359\) | 4.24620e7 | − | 6.40011e6i | 0.917734 | − | 0.138326i | 0.326844 | − | 0.945078i | \(-0.394015\pi\) |
0.590890 | + | 0.806752i | \(0.298777\pi\) | |||||||
\(360\) | 6.44338e6 | − | 2.82303e7i | 0.138104 | − | 0.605073i | ||||
\(361\) | −3.84244e6 | − | 3.56526e6i | −0.0816742 | − | 0.0757826i | ||||
\(362\) | −1.93347e7 | − | 1.44894e6i | −0.407579 | − | 0.0305438i | ||||
\(363\) | −2.01224e7 | − | 7.89745e6i | −0.420687 | − | 0.165108i | ||||
\(364\) | −537977. | + | 3.56925e6i | −0.0111548 | + | 0.0740069i | ||||
\(365\) | −6.16506e7 | + | 2.96893e7i | −1.26782 | + | 0.610551i | ||||
\(366\) | −6.24513e6 | − | 1.29681e7i | −0.127379 | − | 0.264506i | ||||
\(367\) | 1.98426e7 | + | 2.99080e6i | 0.401422 | + | 0.0605046i | 0.346651 | − | 0.937994i | \(-0.387319\pi\) |
0.0547713 | + | 0.998499i | \(0.482557\pi\) | |||||||
\(368\) | 1.16467e7 | − | 2.96753e7i | 0.233700 | − | 0.595459i | ||||
\(369\) | 7.40018e6 | − | 9.87485e7i | 0.147287 | − | 1.96540i | ||||
\(370\) | −5.04995e6 | + | 5.44255e6i | −0.0996970 | + | 0.107448i | ||||
\(371\) | −2.57268e7 | − | 5.87196e6i | −0.503806 | − | 0.114990i | ||||
\(372\) | −6.97218e6 | − | 4.62574e7i | −0.135438 | − | 0.898571i | ||||
\(373\) | 1.55830e7 | + | 2.28560e7i | 0.300279 | + | 0.440428i | 0.946491 | − | 0.322730i | \(-0.104600\pi\) |
−0.646213 | + | 0.763157i | \(0.723648\pi\) | |||||||
\(374\) | 2.86340e6 | − | 9.28290e6i | 0.0547352 | − | 0.177447i | ||||
\(375\) | 5.40710e6 | + | 7.21528e7i | 0.102535 | + | 1.36823i | ||||
\(376\) | 4.34506e7 | + | 3.46507e7i | 0.817396 | + | 0.651851i | ||||
\(377\) | 879048. | + | 2.84980e6i | 0.0164055 | + | 0.0531852i | ||||
\(378\) | −1.90571e6 | + | 747936.i | −0.0352843 | + | 0.0138481i | ||||
\(379\) | −1.46564e7 | − | 6.42139e7i | −0.269222 | − | 1.17954i | −0.910921 | − | 0.412581i | \(-0.864628\pi\) |
0.641700 | − | 0.766956i | \(-0.278230\pi\) | |||||||
\(380\) | −2.50007e7 | + | 4.33026e7i | −0.455619 | + | 0.789156i | ||||
\(381\) | 7.42462e7 | − | 4.28661e7i | 1.34245 | − | 0.775066i | ||||
\(382\) | 1.82923e7 | − | 1.69728e7i | 0.328155 | − | 0.304483i | ||||
\(383\) | 1.25826e6 | − | 1.00343e6i | 0.0223962 | − | 0.0178604i | −0.612228 | − | 0.790681i | \(-0.709726\pi\) |
0.634624 | + | 0.772821i | \(0.281155\pi\) | |||||||
\(384\) | −6.16292e7 | − | 4.20181e7i | −1.08841 | − | 0.742066i | ||||
\(385\) | 3.91595e7 | + | 1.88582e7i | 0.686206 | + | 0.330460i | ||||
\(386\) | 1.32729e7i | 0.230784i | ||||||||
\(387\) | 1.28172e7 | − | 6.28770e7i | 0.221137 | − | 1.08482i | ||||
\(388\) | 8.34209e7 | 1.42817 | ||||||||
\(389\) | 1.60264e7 | − | 3.32792e7i | 0.272262 | − | 0.565359i | −0.719344 | − | 0.694654i | \(-0.755557\pi\) |
0.991606 | + | 0.129296i | \(0.0412716\pi\) | |||||||
\(390\) | 1.30993e6 | − | 1.92132e6i | 0.0220829 | − | 0.0323897i | ||||
\(391\) | 2.47790e7 | + | 3.10719e7i | 0.414528 | + | 0.519802i | ||||
\(392\) | −5.10287e6 | − | 5.49959e6i | −0.0847142 | − | 0.0913002i | ||||
\(393\) | 2.43453e6 | + | 4.21674e6i | 0.0401087 | + | 0.0694702i | ||||
\(394\) | 5.03121e6 | + | 2.90477e6i | 0.0822591 | + | 0.0474923i | ||||
\(395\) | −8.00904e7 | + | 1.82801e7i | −1.29954 | + | 0.296611i | ||||
\(396\) | 1.92303e7 | + | 4.89980e7i | 0.309671 | + | 0.789028i | ||||
\(397\) | 8.00818e6 | − | 2.47020e6i | 0.127986 | − | 0.0394784i | −0.230100 | − | 0.973167i | \(-0.573905\pi\) |
0.358086 | + | 0.933688i | \(0.383429\pi\) | |||||||
\(398\) | −1.83618e7 | + | 2.30250e7i | −0.291250 | + | 0.365217i | ||||
\(399\) | 7.59191e7 | − | 5.68935e6i | 1.19518 | − | 0.0895662i | ||||
\(400\) | −4.63341e6 | − | 1.42922e6i | −0.0723971 | − | 0.0223315i | ||||
\(401\) | −5.87761e7 | + | 4.00729e7i | −0.911523 | + | 0.621466i | −0.925628 | − | 0.378435i | \(-0.876462\pi\) |
0.0141051 | + | 0.999901i | \(0.495510\pi\) | |||||||
\(402\) | 2.27259e7 | − | 3.42538e6i | 0.349818 | − | 0.0527266i | ||||
\(403\) | 915321. | − | 4.01028e6i | 0.0139849 | − | 0.0612717i | ||||
\(404\) | 2.34136e7 | + | 2.17246e7i | 0.355078 | + | 0.329464i | ||||
\(405\) | 6.11791e7 | + | 4.58474e6i | 0.920954 | + | 0.0690160i | ||||
\(406\) | 9.12470e6 | + | 3.58118e6i | 0.136345 | + | 0.0535116i | ||||
\(407\) | 4.19185e6 | − | 2.78111e7i | 0.0621760 | − | 0.412511i | ||||
\(408\) | 3.82135e7 | − | 1.84027e7i | 0.562648 | − | 0.270957i | ||||
\(409\) | 2.03261e7 | + | 4.22076e7i | 0.297087 | + | 0.616908i | 0.995067 | − | 0.0992098i | \(-0.0316315\pi\) |
−0.697979 | + | 0.716118i | \(0.745917\pi\) | |||||||
\(410\) | 3.53750e7 | + | 5.33192e6i | 0.513269 | + | 0.0773628i | ||||
\(411\) | −1.99518e7 | + | 5.08362e7i | −0.287379 | + | 0.732231i | ||||
\(412\) | 5.51852e6 | − | 7.36395e7i | 0.0789098 | − | 1.05298i | ||||
\(413\) | 3.52866e7 | − | 3.80300e7i | 0.500910 | − | 0.539853i | ||||
\(414\) | 1.76212e7 | + | 4.02192e6i | 0.248333 | + | 0.0566803i | ||||
\(415\) | −9.95669e6 | − | 6.60583e7i | −0.139306 | − | 0.924236i | ||||
\(416\) | −2.81816e6 | − | 4.13347e6i | −0.0391458 | − | 0.0574163i | ||||
\(417\) | −3.95075e6 | + | 1.28080e7i | −0.0544843 | + | 0.176634i | ||||
\(418\) | 1.18808e6 | + | 1.58539e7i | 0.0162674 | + | 0.217074i | ||||
\(419\) | −4.11531e7 | − | 3.28185e7i | −0.559448 | − | 0.446145i | 0.302494 | − | 0.953151i | \(-0.402181\pi\) |
−0.861943 | + | 0.507006i | \(0.830752\pi\) | |||||||
\(420\) | 2.68406e7 | + | 8.70150e7i | 0.362280 | + | 1.17448i | ||||
\(421\) | −3.32895e7 | + | 1.30651e7i | −0.446129 | + | 0.175093i | −0.577761 | − | 0.816206i | \(-0.696073\pi\) |
0.131632 | + | 0.991299i | \(0.457978\pi\) | |||||||
\(422\) | −5.72061e6 | − | 2.50636e7i | −0.0761211 | − | 0.333508i | ||||
\(423\) | 8.18767e7 | − | 1.41815e8i | 1.08178 | − | 1.87370i | ||||
\(424\) | 2.08360e7 | − | 1.20297e7i | 0.273349 | − | 0.157818i | ||||
\(425\) | 4.43121e6 | − | 4.11156e6i | 0.0577239 | − | 0.0535599i | ||||
\(426\) | −2.73309e7 | + | 2.17957e7i | −0.353530 | + | 0.281930i | ||||
\(427\) | 4.09499e7 | + | 2.79192e7i | 0.525980 | + | 0.358607i | ||||
\(428\) | −5.29872e7 | − | 2.55173e7i | −0.675834 | − | 0.325464i | ||||
\(429\) | 8.80892e6i | 0.111571i | ||||||||
\(430\) | 2.23058e7 | + | 6.31500e6i | 0.280551 | + | 0.0794270i | ||||
\(431\) | −6.99993e7 | −0.874303 | −0.437152 | − | 0.899388i | \(-0.644013\pi\) | ||||
−0.437152 | + | 0.899388i | \(0.644013\pi\) | |||||||
\(432\) | −4.20882e6 | + | 8.73970e6i | −0.0522046 | + | 0.108404i | ||||
\(433\) | −5.54934e6 | + | 8.13938e6i | −0.0683561 | + | 0.100260i | −0.858895 | − | 0.512152i | \(-0.828848\pi\) |
0.790539 | + | 0.612412i | \(0.209801\pi\) | |||||||
\(434\) | −8.42962e6 | − | 1.05704e7i | −0.103119 | − | 0.129307i | ||||
\(435\) | 5.11736e7 | + | 5.51521e7i | 0.621697 | + | 0.670030i | ||||
\(436\) | 2.82043e7 | + | 4.88514e7i | 0.340296 | + | 0.589410i | ||||
\(437\) | −5.63271e7 | − | 3.25205e7i | −0.674952 | − | 0.389684i | ||||
\(438\) | −4.44398e7 | + | 1.01431e7i | −0.528871 | + | 0.120711i | ||||
\(439\) | 1.08702e7 | + | 2.76967e7i | 0.128482 | + | 0.327367i | 0.980611 | − | 0.195965i | \(-0.0627840\pi\) |
−0.852129 | + | 0.523332i | \(0.824689\pi\) | |||||||
\(440\) | −3.78672e7 | + | 1.16805e7i | −0.444534 | + | 0.137121i | ||||
\(441\) | −1.37826e7 | + | 1.72829e7i | −0.160700 | + | 0.201512i | ||||
\(442\) | 1.78464e6 | − | 133740.i | 0.0206673 | − | 0.00154880i | ||||
\(443\) | −7.59371e7 | − | 2.34235e7i | −0.873459 | − | 0.269426i | −0.174560 | − | 0.984647i | \(-0.555850\pi\) |
−0.698899 | + | 0.715220i | \(0.746326\pi\) | |||||||
\(444\) | 4.86861e7 | − | 3.31936e7i | 0.556233 | − | 0.379233i | ||||
\(445\) | −78288.9 | + | 11800.1i | −0.000888424 | + | 0.000133908i | ||||
\(446\) | 4.29019e6 | − | 1.87965e7i | 0.0483583 | − | 0.211872i | ||||
\(447\) | −5.43400e7 | − | 5.04202e7i | −0.608411 | − | 0.564523i | ||||
\(448\) | 4.43658e7 | + | 3.32476e6i | 0.493417 | + | 0.0369765i | ||||
\(449\) | 4.14039e7 | + | 1.62498e7i | 0.457406 | + | 0.179519i | 0.582846 | − | 0.812582i | \(-0.301939\pi\) |
−0.125440 | + | 0.992101i | \(0.540034\pi\) | |||||||
\(450\) | 409737. | − | 2.71843e6i | 0.00449643 | − | 0.0298318i | ||||
\(451\) | −1.22099e8 | + | 5.87998e7i | −1.33101 | + | 0.640983i | ||||
\(452\) | 6.17872e7 | + | 1.28302e8i | 0.669088 | + | 1.38938i | ||||
\(453\) | −2.29017e8 | − | 3.45188e7i | −2.46362 | − | 0.371331i | ||||
\(454\) | −3.81252e6 | + | 9.71414e6i | −0.0407422 | + | 0.103809i | ||||
\(455\) | −598369. | + | 7.98469e6i | −0.00635236 | + | 0.0847664i | ||||
\(456\) | −4.72127e7 | + | 5.08831e7i | −0.497925 | + | 0.536636i | ||||
\(457\) | −4.38386e7 | − | 1.00059e7i | −0.459313 | − | 0.104835i | −0.0133973 | − | 0.999910i | \(-0.504265\pi\) |
−0.445915 | + | 0.895075i | \(0.647122\pi\) | |||||||
\(458\) | 70076.1 | + | 464924.i | 0.000729413 | + | 0.00483934i | ||||
\(459\) | −6.81228e6 | − | 9.99178e6i | −0.0704457 | − | 0.103325i | ||||
\(460\) | 2.29304e7 | − | 7.43385e7i | 0.235580 | − | 0.763730i | ||||
\(461\) | 39614.1 | + | 528614.i | 0.000404340 | + | 0.00539555i | 0.997402 | − | 0.0720320i | \(-0.0229484\pi\) |
−0.996998 | + | 0.0774276i | \(0.975329\pi\) | |||||||
\(462\) | 2.26367e7 | + | 1.80521e7i | 0.229555 | + | 0.183064i | ||||
\(463\) | −3.48082e7 | − | 1.12845e8i | −0.350702 | − | 1.13695i | −0.943437 | − | 0.331552i | \(-0.892428\pi\) |
0.592735 | − | 0.805398i | \(-0.298048\pi\) | |||||||
\(464\) | 4.32354e7 | − | 1.69686e7i | 0.432798 | − | 0.169861i | ||||
\(465\) | −2.30913e7 | − | 1.01170e8i | −0.229663 | − | 1.00622i | ||||
\(466\) | −5.94949e6 | + | 1.03048e7i | −0.0587925 | + | 0.101832i | ||||
\(467\) | 5.90941e7 | − | 3.41180e7i | 0.580221 | − | 0.334991i | −0.181000 | − | 0.983483i | \(-0.557933\pi\) |
0.761221 | + | 0.648492i | \(0.224600\pi\) | |||||||
\(468\) | −7.10835e6 | + | 6.59558e6i | −0.0693476 | + | 0.0643451i | ||||
\(469\) | −6.18716e7 | + | 4.93409e7i | −0.599753 | + | 0.478287i | ||||
\(470\) | 4.88791e7 | + | 3.33252e7i | 0.470793 | + | 0.320981i | ||||
\(471\) | 2.29938e8 | + | 1.10732e8i | 2.20064 | + | 1.05977i | ||||
\(472\) | 4.73002e7i | 0.449818i | ||||||||
\(473\) | −8.32914e7 | + | 2.78339e7i | −0.787076 | + | 0.263021i | ||||
\(474\) | −5.47243e7 | −0.513860 | ||||||||
\(475\) | −4.29233e6 | + | 8.91311e6i | −0.0400509 | + | 0.0831665i | ||||
\(476\) | −3.94782e7 | + | 5.79040e7i | −0.366047 | + | 0.536893i | ||||
\(477\) | −4.41999e7 | − | 5.54249e7i | −0.407255 | − | 0.510681i | ||||
\(478\) | 4.70137e6 | + | 5.06687e6i | 0.0430468 | + | 0.0463934i | ||||
\(479\) | 2.00501e7 | + | 3.47279e7i | 0.182436 | + | 0.315989i | 0.942710 | − | 0.333615i | \(-0.108268\pi\) |
−0.760273 | + | 0.649603i | \(0.774935\pi\) | |||||||
\(480\) | −1.09299e8 | − | 6.31038e7i | −0.988309 | − | 0.570600i | ||||
\(481\) | 5.05144e6 | − | 1.15296e6i | 0.0453921 | − | 0.0103605i | ||||
\(482\) | 1.81227e7 | + | 4.61760e7i | 0.161839 | + | 0.412359i | ||||
\(483\) | −1.13187e8 | + | 3.49137e7i | −1.00452 | + | 0.309852i | ||||
\(484\) | −2.03042e7 | + | 2.54606e7i | −0.179081 | + | 0.224560i | ||||
\(485\) | 1.84535e8 | − | 1.38290e7i | 1.61753 | − | 0.121217i | ||||
\(486\) | 4.38000e7 | + | 1.35105e7i | 0.381562 | + | 0.117696i | ||||
\(487\) | 8.74121e7 | − | 5.95966e7i | 0.756806 | − | 0.515982i | −0.122367 | − | 0.992485i | \(-0.539048\pi\) |
0.879173 | + | 0.476503i | \(0.158096\pi\) | |||||||
\(488\) | −4.46829e7 | + | 6.73487e6i | −0.384487 | + | 0.0579521i | ||||
\(489\) | 3.74939e6 | − | 1.64272e7i | 0.0320652 | − | 0.140487i | ||||
\(490\) | −5.85417e6 | − | 5.43187e6i | −0.0497596 | − | 0.0461702i | ||||
\(491\) | 1.51548e8 | + | 1.13569e7i | 1.28028 | + | 0.0959436i | 0.697439 | − | 0.716644i | \(-0.254323\pi\) |
0.582839 | + | 0.812587i | \(0.301942\pi\) | |||||||
\(492\) | −2.64300e8 | − | 1.03730e8i | −2.21923 | − | 0.870982i | ||||
\(493\) | −8.62996e6 | + | 5.72560e7i | −0.0720224 | + | 0.477838i | ||||
\(494\) | −2.63881e6 | + | 1.27078e6i | −0.0218891 | + | 0.0105412i | ||||
\(495\) | 5.06617e7 | + | 1.05200e8i | 0.417700 | + | 0.867363i | ||||
\(496\) | −6.33464e7 | − | 9.54793e6i | −0.519131 | − | 0.0782464i | ||||
\(497\) | 4.39763e7 | − | 1.12050e8i | 0.358220 | − | 0.912730i | ||||
\(498\) | 3.32562e6 | − | 4.43774e7i | 0.0269268 | − | 0.359313i | ||||
\(499\) | −6.82773e7 | + | 7.35854e7i | −0.549509 | + | 0.592230i | −0.945337 | − | 0.326095i | \(-0.894267\pi\) |
0.395828 | + | 0.918325i | \(0.370458\pi\) | |||||||
\(500\) | 1.06270e8 | + | 2.42553e7i | 0.850156 | + | 0.194043i | ||||
\(501\) | 4.09701e7 | + | 2.71819e8i | 0.325802 | + | 2.16155i | ||||
\(502\) | −2.49494e7 | − | 3.65941e7i | −0.197219 | − | 0.289268i | ||||
\(503\) | −3.31698e7 | + | 1.07534e8i | −0.260638 | + | 0.844969i | 0.726784 | + | 0.686866i | \(0.241014\pi\) |
−0.987423 | + | 0.158103i | \(0.949462\pi\) | |||||||
\(504\) | 4.96352e6 | + | 6.62336e7i | 0.0387702 | + | 0.517353i | ||||
\(505\) | 5.53944e7 | + | 4.41756e7i | 0.430122 | + | 0.343011i | ||||
\(506\) | −7.29088e6 | − | 2.36365e7i | −0.0562767 | − | 0.182445i | ||||
\(507\) | 1.74590e8 | − | 6.85215e7i | 1.33966 | − | 0.525778i | ||||
\(508\) | −2.87397e7 | − | 1.25917e8i | −0.219225 | − | 0.960489i | ||||
\(509\) | 3.85393e7 | − | 6.67521e7i | 0.292248 | − | 0.506188i | −0.682093 | − | 0.731265i | \(-0.738930\pi\) |
0.974341 | + | 0.225078i | \(0.0722635\pi\) | |||||||
\(510\) | 3.90997e7 | − | 2.25742e7i | 0.294756 | − | 0.170177i | ||||
\(511\) | 1.15057e8 | − | 1.06757e8i | 0.862285 | − | 0.800084i | ||||
\(512\) | −1.04350e8 | + | 8.32160e7i | −0.777465 | + | 0.620007i | ||||
\(513\) | 1.63521e7 | + | 1.11487e7i | 0.121122 | + | 0.0825795i | ||||
\(514\) | −6.00459e6 | − | 2.89166e6i | −0.0442175 | − | 0.0212940i | ||||
\(515\) | − | 1.63812e8i | − | 1.19929i | ||||||
\(516\) | −1.61440e8 | − | 8.82559e7i | −1.17507 | − | 0.642384i | ||||
\(517\) | −2.24102e8 | −1.62172 | ||||||||
\(518\) | 7.38912e6 | − | 1.53437e7i | 0.0531623 | − | 0.110393i | ||||
\(519\) | −1.26442e8 | + | 1.85456e8i | −0.904459 | + | 1.32660i | ||||
\(520\) | −4.55172e6 | − | 5.70767e6i | −0.0323717 | − | 0.0405928i | ||||
\(521\) | 3.68847e7 | + | 3.97523e7i | 0.260815 | + | 0.281092i | 0.849860 | − | 0.527008i | \(-0.176686\pi\) |
−0.589045 | + | 0.808100i | \(0.700496\pi\) | |||||||
\(522\) | 1.31667e7 | + | 2.28054e7i | 0.0925690 | + | 0.160334i | ||||
\(523\) | −1.77172e8 | − | 1.02291e8i | −1.23849 | − | 0.715040i | −0.269701 | − | 0.962944i | \(-0.586925\pi\) |
−0.968785 | + | 0.247904i | \(0.920258\pi\) | |||||||
\(524\) | 7.15131e6 | − | 1.63224e6i | 0.0497040 | − | 0.0113446i | ||||
\(525\) | 6.58212e6 | + | 1.67710e7i | 0.0454870 | + | 0.115899i | ||||
\(526\) | −1.26739e7 | + | 3.90938e6i | −0.0870869 | + | 0.0268627i | ||||
\(527\) | 4.97943e7 | − | 6.24401e7i | 0.340211 | − | 0.426611i | ||||
\(528\) | 1.36806e8 | − | 1.02522e7i | 0.929400 | − | 0.0696489i | ||||
\(529\) | −4.47611e7 | − | 1.38070e7i | −0.302367 | − | 0.0932678i | ||||
\(530\) | 2.11605e7 | − | 1.44270e7i | 0.142134 | − | 0.0969052i | ||||
\(531\) | 1.37814e8 | − | 2.07721e7i | 0.920469 | − | 0.138738i | ||||
\(532\) | 2.55215e7 | − | 1.11817e8i | 0.169500 | − | 0.742629i | ||||
\(533\) | −1.83014e7 | − | 1.69812e7i | −0.120866 | − | 0.112147i | ||||
\(534\) | −52593.8 | − | 3941.36i | −0.000345391 | − | 2.58834e-5i | ||||
\(535\) | −1.21443e8 | − | 4.76628e7i | −0.793067 | − | 0.311256i | ||||
\(536\) | 1.07537e7 | − | 7.13464e7i | 0.0698337 | − | 0.463316i | ||||
\(537\) | 4.17578e7 | − | 2.01095e7i | 0.269659 | − | 0.129861i | ||||
\(538\) | −1.71569e7 | − | 3.56267e7i | −0.110177 | − | 0.228786i | ||||
\(539\) | 2.99144e7 | + | 4.50888e6i | 0.191036 | + | 0.0287940i | ||||
\(540\) | −8.64830e6 | + | 2.20355e7i | −0.0549224 | + | 0.139940i | ||||
\(541\) | −1.55928e7 | + | 2.08072e8i | −0.0984765 | + | 1.31408i | 0.700905 | + | 0.713254i | \(0.252779\pi\) |
−0.799382 | + | 0.600823i | \(0.794840\pi\) | |||||||
\(542\) | 4.97333e7 | − | 5.35997e7i | 0.312356 | − | 0.336639i | ||||
\(543\) | 3.32795e8 | + | 7.59583e7i | 2.07863 | + | 0.474434i | ||||
\(544\) | −1.44766e7 | − | 9.60461e7i | −0.0899229 | − | 0.596600i | ||||
\(545\) | 7.04888e7 | + | 1.03388e8i | 0.435443 | + | 0.638677i | ||||
\(546\) | −1.57220e6 | + | 5.09694e6i | −0.00965894 | + | 0.0313135i | ||||
\(547\) | −2.10369e7 | − | 2.80717e8i | −0.128534 | − | 1.71517i | −0.573151 | − | 0.819450i | \(-0.694279\pi\) |
0.444616 | − | 0.895721i | \(-0.353340\pi\) | |||||||
\(548\) | 6.43225e7 | + | 5.12955e7i | 0.390860 | + | 0.311701i | ||||
\(549\) | 3.92454e7 | + | 1.27230e8i | 0.237176 | + | 0.768907i | ||||
\(550\) | −3.50221e6 | + | 1.37452e6i | −0.0210501 | + | 0.00826156i | ||||
\(551\) | −2.10864e7 | − | 9.23854e7i | −0.126051 | − | 0.552267i | ||||
\(552\) | 5.39978e7 | − | 9.35269e7i | 0.321040 | − | 0.556057i | ||||
\(553\) | 1.63189e8 | − | 9.42171e7i | 0.964972 | − | 0.557127i | ||||
\(554\) | 5.73980e7 | − | 5.32575e7i | 0.337573 | − | 0.313222i | ||||
\(555\) | 1.02196e8 | − | 8.14983e7i | 0.597796 | − | 0.476727i | ||||
\(556\) | 1.66837e7 | + | 1.13747e7i | 0.0970659 | + | 0.0661784i | ||||
\(557\) | 7.04882e7 | + | 3.39453e7i | 0.407897 | + | 0.196433i | 0.626570 | − | 0.779365i | \(-0.284458\pi\) |
−0.218673 | + | 0.975798i | \(0.570173\pi\) | |||||||
\(558\) | − | 3.63210e7i | − | 0.209053i | ||||||
\(559\) | −1.03791e7 | − | 1.24102e7i | −0.0594190 | − | 0.0710469i | ||||
\(560\) | 1.24701e8 | 0.710080 | ||||||||
\(561\) | −7.42069e7 | + | 1.54092e8i | −0.420296 | + | 0.872755i | ||||
\(562\) | 3.85178e7 | − | 5.64953e7i | 0.216997 | − | 0.318275i | ||||
\(563\) | 1.16015e8 | + | 1.45478e8i | 0.650114 | + | 0.815217i | 0.992227 | − | 0.124442i | \(-0.0397139\pi\) |
−0.342113 | + | 0.939659i | \(0.611143\pi\) | |||||||
\(564\) | −3.19351e8 | − | 3.44179e8i | −1.78005 | − | 1.91843i | ||||
\(565\) | 1.57948e8 | + | 2.73574e8i | 0.875728 | + | 1.51681i | ||||
\(566\) | −5.92868e7 | − | 3.42293e7i | −0.326971 | − | 0.188777i | ||||
\(567\) | −1.37197e8 | + | 3.13142e7i | −0.752652 | + | 0.171788i | ||||
\(568\) | 4.00951e7 | + | 1.02161e8i | 0.218799 | + | 0.557492i | ||||
\(569\) | −1.83121e8 | + | 5.64853e7i | −0.994034 | + | 0.306619i | −0.748764 | − | 0.662836i | \(-0.769353\pi\) |
−0.245269 | + | 0.969455i | \(0.578876\pi\) | |||||||
\(570\) | −4.60685e7 | + | 5.77680e7i | −0.248759 | + | 0.311934i | ||||
\(571\) | 1.70093e8 | − | 1.27467e7i | 0.913646 | − | 0.0684683i | 0.390395 | − | 0.920647i | \(-0.372338\pi\) |
0.523250 | + | 0.852179i | \(0.324719\pi\) | |||||||
\(572\) | 1.26810e7 | + | 3.91157e6i | 0.0677588 | + | 0.0209008i | ||||
\(573\) | −3.62986e8 | + | 2.47480e8i | −1.92942 | + | 1.31546i | ||||
\(574\) | −8.11424e7 | + | 1.22303e7i | −0.429054 | + | 0.0646695i | ||||
\(575\) | 3.42497e6 | − | 1.50058e7i | 0.0180158 | − | 0.0789324i | ||||
\(576\) | 8.76150e7 | + | 8.12948e7i | 0.458470 | + | 0.425398i | ||||
\(577\) | 2.88058e8 | + | 2.15870e7i | 1.49952 | + | 0.112374i | 0.799032 | − | 0.601289i | \(-0.205346\pi\) |
0.700490 | + | 0.713662i | \(0.252965\pi\) | |||||||
\(578\) | −1.76750e7 | − | 6.93695e6i | −0.0915329 | − | 0.0359240i | ||||
\(579\) | 3.48279e7 | − | 2.31068e8i | 0.179429 | − | 1.19043i | ||||
\(580\) | 1.02118e8 | − | 4.91776e7i | 0.523384 | − | 0.252048i | ||||
\(581\) | 6.64860e7 | + | 1.38060e8i | 0.339002 | + | 0.703944i | ||||
\(582\) | 1.21896e8 | + | 1.83728e7i | 0.618329 | + | 0.0931981i | ||||
\(583\) | −3.54443e7 | + | 9.03106e7i | −0.178871 | + | 0.455757i | ||||
\(584\) | −1.06942e7 | + | 1.42704e8i | −0.0536918 | + | 0.716467i | ||||
\(585\) | −1.46310e7 | + | 1.57684e7i | −0.0730811 | + | 0.0787627i | ||||
\(586\) | −5.36205e7 | − | 1.22385e7i | −0.266463 | − | 0.0608186i | ||||
\(587\) | −9.30902e6 | − | 6.17613e7i | −0.0460246 | − | 0.305353i | −0.999985 | − | 0.00542151i | \(-0.998274\pi\) |
0.953961 | − | 0.299931i | \(-0.0969638\pi\) | |||||||
\(588\) | 3.57040e7 | + | 5.23682e7i | 0.175625 | + | 0.257594i | ||||
\(589\) | −3.85251e7 | + | 1.24895e8i | −0.188538 | + | 0.611224i | ||||
\(590\) | 3.76265e6 | + | 5.02091e7i | 0.0183205 | + | 0.244470i | ||||
\(591\) | −7.99661e7 | − | 6.37708e7i | −0.387386 | − | 0.308930i | ||||
\(592\) | −2.37849e7 | − | 7.71089e7i | −0.114640 | − | 0.371654i | ||||
\(593\) | 3.21027e8 | − | 1.25994e8i | 1.53949 | − | 0.604205i | 0.564299 | − | 0.825571i | \(-0.309147\pi\) |
0.975191 | + | 0.221365i | \(0.0710513\pi\) | |||||||
\(594\) | 1.67484e6 | + | 7.33793e6i | 0.00799121 | + | 0.0350118i | ||||
\(595\) | −7.77306e7 | + | 1.34633e8i | −0.369012 | + | 0.639148i | ||||
\(596\) | −9.67126e7 | + | 5.58370e7i | −0.456819 | + | 0.263745i | ||||
\(597\) | 3.80078e8 | − | 3.52660e8i | 1.78628 | − | 1.65742i | ||||
\(598\) | 3.56269e6 | − | 2.84115e6i | 0.0166600 | − | 0.0132859i | ||||
\(599\) | −804084. | − | 548215.i | −0.00374129 | − | 0.00255077i | 0.561448 | − | 0.827512i | \(-0.310244\pi\) |
−0.565189 | + | 0.824961i | \(0.691197\pi\) | |||||||
\(600\) | −1.47996e7 | − | 7.12709e6i | −0.0685165 | − | 0.0329958i | ||||
\(601\) | − | 2.27858e7i | − | 0.104964i | −0.998622 | − | 0.0524821i | \(-0.983287\pi\) | ||
0.998622 | − | 0.0524821i | \(-0.0167133\pi\) | |||||||
\(602\) | −5.31611e7 | + | 1.23934e6i | −0.243671 | + | 0.00568069i | ||||
\(603\) | −2.12597e8 | −0.969629 | ||||||||
\(604\) | −1.51387e8 | + | 3.14357e8i | −0.687031 | + | 1.42663i | ||||
\(605\) | −4.06940e7 | + | 5.96871e7i | −0.183766 | + | 0.269535i | ||||
\(606\) | 2.94276e7 | + | 3.69010e7i | 0.132232 | + | 0.165814i | ||||
\(607\) | −2.66926e8 | − | 2.87678e8i | −1.19351 | − | 1.28630i | −0.948501 | − | 0.316775i | \(-0.897400\pi\) |
−0.245007 | − | 0.969521i | \(-0.578790\pi\) | |||||||
\(608\) | 7.94803e7 | + | 1.37664e8i | 0.353630 | + | 0.612505i | ||||
\(609\) | −1.49455e8 | − | 8.62877e7i | −0.661694 | − | 0.382029i | ||||
\(610\) | −4.68951e7 | + | 1.07035e7i | −0.206604 | + | 0.0471559i | ||||
\(611\) | −1.50831e7 | − | 3.84312e7i | −0.0661253 | − | 0.168485i | ||||
\(612\) | −1.79906e8 | + | 5.54937e7i | −0.784859 | + | 0.242097i | ||||
\(613\) | −3.48825e7 | + | 4.37412e7i | −0.151435 | + | 0.189893i | −0.851762 | − | 0.523928i | \(-0.824466\pi\) |
0.700327 | + | 0.713822i | \(0.253037\pi\) | |||||||
\(614\) | −5.99409e7 | + | 4.49195e6i | −0.258951 | + | 0.0194057i | ||||
\(615\) | −6.01851e8 | − | 1.85647e8i | −2.58740 | − | 0.798108i | ||||
\(616\) | 7.51028e7 | − | 5.12042e7i | 0.321303 | − | 0.219060i | ||||
\(617\) | −4.01315e8 | + | 6.04885e7i | −1.70856 | + | 0.257524i | −0.929339 | − | 0.369228i | \(-0.879622\pi\) |
−0.779219 | + | 0.626752i | \(0.784384\pi\) | |||||||
\(618\) | 2.42823e7 | − | 1.06388e8i | 0.102878 | − | 0.450739i | ||||
\(619\) | −1.62805e8 | − | 1.51061e8i | −0.686429 | − | 0.636913i | 0.257802 | − | 0.966198i | \(-0.417002\pi\) |
−0.944231 | + | 0.329285i | \(0.893192\pi\) | |||||||
\(620\) | −1.55894e8 | − | 1.16826e7i | −0.654115 | − | 0.0490192i | ||||
\(621\) | −2.86633e7 | − | 1.12495e7i | −0.119688 | − | 0.0469742i | ||||
\(622\) | 1.16055e7 | − | 7.69972e7i | 0.0482271 | − | 0.319966i | ||||
\(623\) | 163621. | − | 78795.8i | 0.000676667 | − | 0.000325866i | ||||
\(624\) | 1.09658e7 | + | 2.27707e7i | 0.0451322 | + | 0.0937180i | ||||
\(625\) | 2.62739e8 | + | 3.96015e7i | 1.07618 | + | 0.162208i | ||||
\(626\) | −2.66183e7 | + | 6.78224e7i | −0.108507 | + | 0.276471i | ||||
\(627\) | 2.09170e7 | − | 2.79117e8i | 0.0848586 | − | 1.13236i | ||||
\(628\) | 2.61510e8 | − | 2.81840e8i | 1.05587 | − | 1.13795i | ||||
\(629\) | 9.80762e7 | + | 2.23852e7i | 0.394105 | + | 0.0899518i | ||||
\(630\) | 1.05375e7 | + | 6.99120e7i | 0.0421422 | + | 0.279595i | ||||
\(631\) | −3.60540e7 | − | 5.28815e7i | −0.143504 | − | 0.210482i | 0.747757 | − | 0.663973i | \(-0.231131\pi\) |
−0.891261 | + | 0.453491i | \(0.850179\pi\) | |||||||
\(632\) | −5.06399e7 | + | 1.64171e8i | −0.200605 | + | 0.650345i | ||||
\(633\) | 3.38234e7 | + | 4.51342e8i | 0.133354 | + | 1.77949i | ||||
\(634\) | 8.54794e7 | + | 6.81675e7i | 0.335424 | + | 0.267491i | ||||
\(635\) | −8.44484e7 | − | 2.73775e8i | −0.329815 | − | 1.06923i | ||||
\(636\) | −1.89209e8 | + | 7.42591e7i | −0.735480 | + | 0.288655i | ||||
\(637\) | 1.24016e6 | + | 5.43348e6i | 0.00479798 | + | 0.0210213i | ||||
\(638\) | 1.80191e7 | − | 3.12100e7i | 0.0693859 | − | 0.120180i | ||||
\(639\) | 2.80047e8 | − | 1.61685e8i | 1.07332 | − | 0.619680i | ||||
\(640\) | −1.82727e8 | + | 1.69546e8i | −0.697047 | + | 0.646765i | ||||
\(641\) | 1.07705e8 | − | 8.58919e7i | 0.408942 | − | 0.326121i | −0.397319 | − | 0.917681i | \(-0.630059\pi\) |
0.806261 | + | 0.591560i | \(0.201488\pi\) | |||||||
\(642\) | −7.18056e7 | − | 4.89562e7i | −0.271365 | − | 0.185013i | ||||
\(643\) | 4.40250e8 | + | 2.12013e8i | 1.65602 | + | 0.797498i | 0.999050 | + | 0.0435843i | \(0.0138777\pi\) |
0.656973 | + | 0.753914i | \(0.271837\pi\) | |||||||
\(644\) | 1.78444e8i | 0.668104i | ||||||||
\(645\) | −3.71751e8 | − | 1.68468e8i | −1.38539 | − | 0.627823i | ||||
\(646\) | −5.68652e7 | −0.210935 | ||||||||
\(647\) | −1.47916e8 | + | 3.07150e8i | −0.546137 | + | 1.13407i | 0.427088 | + | 0.904210i | \(0.359540\pi\) |
−0.973225 | + | 0.229855i | \(0.926175\pi\) | |||||||
\(648\) | 7.22767e7 | − | 1.06010e8i | 0.265627 | − | 0.389604i | ||||
\(649\) | −1.18920e8 | − | 1.49121e8i | −0.435033 | − | 0.545514i | ||||
\(650\) | −471430. | − | 508081.i | −0.00171663 | − | 0.00185009i | ||||
\(651\) | 1.19015e8 | + | 2.06139e8i | 0.431377 | + | 0.747167i | ||||
\(652\) | −2.19831e7 | − | 1.26919e7i | −0.0793132 | − | 0.0457915i | ||||
\(653\) | −3.00259e8 | + | 6.85323e7i | −1.07834 | + | 0.246125i | −0.724567 | − | 0.689205i | \(-0.757960\pi\) |
−0.353777 | + | 0.935330i | \(0.615103\pi\) | |||||||
\(654\) | 3.04534e7 | + | 7.75940e7i | 0.108869 | + | 0.277393i | ||||
\(655\) | 1.55488e7 | − | 4.79616e6i | 0.0553315 | − | 0.0170675i | ||||
\(656\) | −2.42424e8 | + | 3.03991e8i | −0.858746 | + | 1.07683i | ||||
\(657\) | 4.20477e8 | − | 3.15104e7i | 1.48268 | − | 0.111111i | ||||
\(658\) | −1.29668e8 | − | 3.99973e7i | −0.455151 | − | 0.140396i | ||||
\(659\) | −1.20470e8 | + | 8.21350e7i | −0.420942 | + | 0.286993i | −0.755208 | − | 0.655485i | \(-0.772464\pi\) |
0.334266 | + | 0.942479i | \(0.391512\pi\) | |||||||
\(660\) | 3.31046e8 | − | 4.98971e7i | 1.15148 | − | 0.173558i | ||||
\(661\) | 1.35732e7 | − | 5.94683e7i | 0.0469980 | − | 0.205912i | −0.945977 | − | 0.324232i | \(-0.894894\pi\) |
0.992975 | + | 0.118321i | \(0.0377511\pi\) | |||||||
\(662\) | 7.47915e7 | + | 6.93963e7i | 0.257797 | + | 0.239201i | ||||
\(663\) | −3.14197e7 | − | 2.35458e6i | −0.107810 | − | 0.00807928i | ||||
\(664\) | −1.30053e8 | − | 5.10420e7i | −0.444238 | − | 0.174350i | ||||
\(665\) | 3.79196e7 | − | 2.51580e8i | 0.128943 | − | 0.855482i | ||||
\(666\) | 4.12201e7 | − | 1.98505e7i | 0.139536 | − | 0.0671970i | ||||
\(667\) | 6.39692e7 | + | 1.32834e8i | 0.215573 | + | 0.447641i | ||||
\(668\) | 4.09493e8 | + | 6.17212e7i | 1.37378 | + | 0.207064i | ||||
\(669\) | −1.24009e8 | + | 3.15971e8i | −0.414168 | + | 1.05528i | ||||
\(670\) | 5.73959e6 | − | 7.65895e7i | 0.0190834 | − | 0.254651i | ||||
\(671\) | 1.23937e8 | − | 1.33573e8i | 0.410237 | − | 0.442130i | ||||
\(672\) | 2.82234e8 | + | 6.44181e7i | 0.930041 | + | 0.212276i | ||||
\(673\) | 7.30483e6 | + | 4.84644e7i | 0.0239643 | + | 0.158993i | 0.997612 | − | 0.0690634i | \(-0.0220011\pi\) |
−0.973648 | + | 0.228056i | \(0.926763\pi\) | |||||||
\(674\) | −880398. | − | 1.29131e6i | −0.00287541 | − | 0.00421745i | ||||
\(675\) | −1.38048e6 | + | 4.47541e6i | −0.00448869 | + | 0.0145520i | ||||
\(676\) | −2.11150e7 | − | 2.81760e8i | −0.0683520 | − | 0.912093i | ||||
\(677\) | 4.30049e8 | + | 3.42953e8i | 1.38596 | + | 1.10527i | 0.981659 | + | 0.190646i | \(0.0610582\pi\) |
0.404306 | + | 0.914624i | \(0.367513\pi\) | |||||||
\(678\) | 6.20266e7 | + | 2.01085e8i | 0.199017 | + | 0.645196i | ||||
\(679\) | −3.95127e8 | + | 1.55076e8i | −1.26220 | + | 0.495376i | ||||
\(680\) | −3.15402e7 | − | 1.38187e8i | −0.100309 | − | 0.439480i | ||||
\(681\) | 9.18617e7 | − | 1.59109e8i | 0.290866 | − | 0.503795i | ||||
\(682\) | −4.30472e7 | + | 2.48533e7i | −0.135704 | + | 0.0783486i | ||||
\(683\) | 1.64743e8 | − | 1.52859e8i | 0.517065 | − | 0.479767i | −0.377935 | − | 0.925832i | \(-0.623366\pi\) |
0.895000 | + | 0.446066i | \(0.147175\pi\) | |||||||
\(684\) | 2.40895e8 | − | 1.92107e8i | 0.752764 | − | 0.600309i | ||||
\(685\) | 1.50791e8 | + | 1.02807e8i | 0.469141 | + | 0.319855i | ||||
\(686\) | 8.73973e7 | + | 4.20883e7i | 0.270723 | + | 0.130373i | ||||
\(687\) | − | 8.27773e6i | − | 0.0255294i | ||||||
\(688\) | −1.80656e8 | + | 1.75635e8i | −0.554737 | + | 0.539319i | ||||
\(689\) | −1.78729e7 | −0.0546433 | ||||||||
\(690\) | 4.98786e7 | − | 1.03574e8i | 0.151833 | − | 0.315285i | ||||
\(691\) | −3.53348e8 | + | 5.18266e8i | −1.07095 | + | 1.57079i | −0.278910 | + | 0.960317i | \(0.589973\pi\) |
−0.792037 | + | 0.610473i | \(0.790979\pi\) | |||||||
\(692\) | 2.10830e8 | + | 2.64373e8i | 0.636230 | + | 0.797807i | ||||
\(693\) | −1.82170e8 | − | 1.96333e8i | −0.547366 | − | 0.589920i | ||||
\(694\) | 5.74443e7 | + | 9.94964e7i | 0.171857 | + | 0.297666i | ||||
\(695\) | 3.87914e7 | + | 2.23962e7i | 0.115553 | + | 0.0667145i | ||||
\(696\) | 1.53399e8 | − | 3.50124e7i | 0.454983 | − | 0.103847i | ||||
\(697\) | −1.77091e8 | − | 4.51220e8i | −0.522995 | − | 1.33257i | ||||
\(698\) | 1.40708e7 | − | 4.34026e6i | 0.0413764 | − | 0.0127629i | ||||
\(699\) | 1.30614e8 | − | 1.63785e8i | 0.382436 | − | 0.479559i | ||||
\(700\) | 2.70656e7 | − | 2.02829e6i | 0.0789086 | − | 0.00591338i | ||||
\(701\) | 3.24000e8 | + | 9.99408e7i | 0.940570 | + | 0.290127i | 0.726872 | − | 0.686773i | \(-0.240973\pi\) |
0.213697 | + | 0.976900i | \(0.431449\pi\) | |||||||
\(702\) | −1.14565e6 | + | 781094.i | −0.00331163 | + | 0.00225783i | ||||
\(703\) | −1.62796e8 | + | 2.45376e7i | −0.468575 | + | 0.0706263i | ||||
\(704\) | 3.63974e7 | − | 1.59468e8i | 0.104316 | − | 0.457040i | ||||
\(705\) | −7.63490e8 | − | 7.08416e8i | −2.17889 | − | 2.02172i | ||||
\(706\) | −4.80363e7 | − | 3.59982e6i | −0.136507 | − | 0.0102298i | ||||
\(707\) | −1.51285e8 | − | 5.93749e7i | −0.428092 | − | 0.168014i | ||||
\(708\) | 5.95579e7 | − | 3.95141e8i | 0.167818 | − | 1.11340i | ||||
\(709\) | 4.02369e8 | − | 1.93771e8i | 1.12898 | − | 0.543688i | 0.226324 | − | 0.974052i | \(-0.427329\pi\) |
0.902655 | + | 0.430364i | \(0.141615\pi\) | |||||||
\(710\) | 5.06875e7 | + | 1.05254e8i | 0.141621 | + | 0.294078i | ||||
\(711\) | 5.00566e8 | + | 7.54481e7i | 1.39268 | + | 0.209913i | ||||
\(712\) | −60492.3 | + | 154132.i | −0.000167595 | + | 0.000427024i | ||||
\(713\) | 1.51965e7 | − | 2.02784e8i | 0.0419253 | − | 0.559454i | ||||
\(714\) | −7.04390e7 | + | 7.59152e7i | −0.193517 | + | 0.208562i | ||||
\(715\) | 2.87000e7 | + | 6.55059e6i | 0.0785170 | + | 0.0179210i | ||||
\(716\) | −1.04065e7 | − | 6.90425e7i | −0.0283508 | − | 0.188095i | ||||
\(717\) | −6.85507e7 | − | 1.00545e8i | −0.185975 | − | 0.272775i | ||||
\(718\) | 2.81772e7 | − | 9.13484e7i | 0.0761246 | − | 0.246790i | ||||
\(719\) | −1.51980e7 | − | 2.02803e8i | −0.0408883 | − | 0.545617i | −0.979606 | − | 0.200929i | \(-0.935604\pi\) |
0.938717 | − | 0.344688i | \(-0.112015\pi\) | |||||||
\(720\) | 2.61917e8 | + | 2.08872e8i | 0.701724 | + | 0.559607i | ||||
\(721\) | 1.10754e8 | + | 3.59055e8i | 0.295497 | + | 0.957979i | ||||
\(722\) | −1.08623e7 | + | 4.26314e6i | −0.0288609 | + | 0.0113271i | ||||
\(723\) | −1.94333e8 | − | 8.51430e8i | −0.514201 | − | 2.25286i | ||||
\(724\) | 2.57124e8 | − | 4.45351e8i | 0.677526 | − | 1.17351i | ||||
\(725\) | 1.94205e7 | − | 1.12125e7i | 0.0509621 | − | 0.0294230i | ||||
\(726\) | −3.52762e7 | + | 3.27315e7i | −0.0921875 | + | 0.0855375i | ||||
\(727\) | −2.61551e8 | + | 2.08580e8i | −0.680695 | + | 0.542836i | −0.901660 | − | 0.432446i | \(-0.857651\pi\) |
0.220965 | + | 0.975282i | \(0.429079\pi\) | |||||||
\(728\) | 1.38358e7 | + | 9.43306e6i | 0.0358599 | + | 0.0244489i | ||||
\(729\) | −4.19409e8 | − | 2.01976e8i | −1.08257 | − | 0.521337i | ||||
\(730\) | 1.52330e8i | 0.391577i | ||||||||
\(731\) | −7.70146e7 | − | 3.04523e8i | −0.197161 | − | 0.779594i | ||||
\(732\) | 3.81757e8 | 0.973315 | ||||||||
\(733\) | −1.75438e8 | + | 3.64302e8i | −0.445464 | + | 0.925016i | 0.550463 | + | 0.834859i | \(0.314451\pi\) |
−0.995928 | + | 0.0901568i | \(0.971263\pi\) | |||||||
\(734\) | 2.51647e7 | − | 3.69098e7i | 0.0636360 | − | 0.0933369i | ||||
\(735\) | 8.76619e7 | + | 1.09925e8i | 0.220774 | + | 0.276842i | ||||
\(736\) | −1.68219e8 | − | 1.81297e8i | −0.421932 | − | 0.454734i | ||||
\(737\) | 1.45473e8 | + | 2.51967e8i | 0.363397 | + | 0.629422i | ||||
\(738\) | −1.90913e8 | − | 1.10224e8i | −0.474971 | − | 0.274225i | ||||
\(739\) | 4.05040e8 | − | 9.24477e7i | 1.00361 | − | 0.229067i | 0.311023 | − | 0.950402i | \(-0.399328\pi\) |
0.692586 | + | 0.721335i | \(0.256471\pi\) | |||||||
\(740\) | −7.19423e7 | − | 1.83306e8i | −0.177537 | − | 0.452358i | ||||
\(741\) | 4.92735e7 | − | 1.51989e7i | 0.121104 | − | 0.0373557i | ||||
\(742\) | −3.66269e7 | + | 4.59287e7i | −0.0896580 | + | 0.112428i | ||||
\(743\) | 9.40401e7 | − | 7.04733e6i | 0.229270 | − | 0.0171814i | 0.0404002 | − | 0.999184i | \(-0.487137\pi\) |
0.188870 | + | 0.982002i | \(0.439518\pi\) | |||||||
\(744\) | −2.07379e8 | − | 6.39681e7i | −0.503555 | − | 0.155326i | ||||
\(745\) | −2.04681e8 | + | 1.39549e8i | −0.495003 | + | 0.337488i | ||||
\(746\) | 6.08942e7 | − | 9.17833e6i | 0.146676 | − | 0.0221079i | ||||
\(747\) | −9.16025e7 | + | 4.01337e8i | −0.219758 | + | 0.962824i | ||||
\(748\) | 1.88874e8 | + | 1.75250e8i | 0.451303 | + | 0.418748i | ||||
\(749\) | 2.98412e8 | + | 2.23629e7i | 0.710184 | + | 0.0532209i | ||||
\(750\) | 1.49940e8 | + | 5.88472e7i | 0.355414 | + | 0.139490i | ||||
\(751\) | −9.98974e6 | + | 6.62776e7i | −0.0235849 | + | 0.156476i | −0.997523 | − | 0.0703371i | \(-0.977592\pi\) |
0.973938 | + | 0.226813i | \(0.0728306\pi\) | |||||||
\(752\) | −5.79296e8 | + | 2.78974e8i | −1.36222 | + | 0.656010i | ||||
\(753\) | 3.38322e8 | + | 7.02532e8i | 0.792401 | + | 1.64544i | ||||
\(754\) | 6.56496e6 | + | 989508.i | 0.0153150 | + | 0.00230837i | ||||
\(755\) | −2.82769e8 | + | 7.20483e8i | −0.657038 | + | 1.67411i | ||||
\(756\) | 4.05770e6 | − | 5.41462e7i | 0.00939105 | − | 0.125315i | ||||
\(757\) | −3.46034e8 | + | 3.72936e8i | −0.797684 | + | 0.859699i | −0.992639 | − | 0.121113i | \(-0.961354\pi\) |
0.194954 | + | 0.980812i | \(0.437544\pi\) | |||||||
\(758\) | −1.42951e8 | − | 3.26277e7i | −0.328231 | − | 0.0749167i | ||||
\(759\) | 6.49051e7 | + | 4.30617e8i | 0.148441 | + | 0.984841i | ||||
\(760\) | 1.30672e8 | + | 1.91660e8i | 0.297673 | + | 0.436607i | ||||
\(761\) | 9.63746e7 | − | 3.12439e8i | 0.218680 | − | 0.708942i | −0.778055 | − | 0.628196i | \(-0.783794\pi\) |
0.996735 | − | 0.0807461i | \(-0.0257303\pi\) | |||||||
\(762\) | −1.42626e7 | − | 1.90321e8i | −0.0322354 | − | 0.430151i | ||||
\(763\) | −2.24404e8 | − | 1.78956e8i | −0.505192 | − | 0.402877i | ||||
\(764\) | 1.95080e8 | + | 6.32435e8i | 0.437455 | + | 1.41819i | ||||
\(765\) | −3.88769e8 | + | 1.52581e8i | −0.868376 | + | 0.340812i | ||||
\(766\) | −797236. | − | 3.49292e6i | −0.00177378 | − | 0.00777145i | ||||
\(767\) | 1.75688e7 | − | 3.04301e7i | 0.0389365 | − | 0.0674400i | ||||
\(768\) | 1.77886e8 | − | 1.02702e8i | 0.392697 | − | 0.226724i | ||||
\(769\) | 5.45152e8 | − | 5.05827e8i | 1.19878 | − | 1.11230i | 0.207815 | − | 0.978168i | \(-0.433365\pi\) |
0.990963 | − | 0.134135i | \(-0.0428255\pi\) | |||||||
\(770\) | 7.56483e7 | − | 6.03275e7i | 0.165702 | − | 0.132143i | ||||
\(771\) | 9.69460e7 | + | 6.60967e7i | 0.211527 | + | 0.144217i | ||||
\(772\) | −3.17172e8 | − | 1.52742e8i | −0.689356 | − | 0.331976i | ||||
\(773\) | − | 2.33740e8i | − | 0.506052i | −0.967459 | − | 0.253026i | \(-0.918574\pi\) | ||
0.967459 | − | 0.253026i | \(-0.0814259\pi\) | |||||||
\(774\) | −1.13733e8 | − | 8.64405e7i | −0.245281 | − | 0.186421i | ||||
\(775\) | −3.09302e7 | −0.0664473 | ||||||||
\(776\) | 1.67916e8 | − | 3.48680e8i | 0.359340 | − | 0.746178i | ||||
\(777\) | −1.68898e8 | + | 2.47729e8i | −0.360050 | + | 0.528096i | ||||
\(778\) | −5.12686e7 | − | 6.42887e7i | −0.108871 | − | 0.136520i | ||||
\(779\) | 5.39571e8 | + | 5.81519e8i | 1.14140 | + | 1.23013i | ||||
\(780\) | 3.08378e7 | + | 5.34126e7i | 0.0649829 | + | 0.112554i | ||||
\(781\) | −3.83254e8 | − | 2.21272e8i | −0.804514 | − | 0.464487i | ||||
\(782\) | 8.62553e7 | − | 1.96872e7i | 0.180371 | − | 0.0411684i | ||||
\(783\) | −1.63900e7 | − | 4.17610e7i | −0.0341424 | − | 0.0869933i | ||||
\(784\) | 8.29406e7 | − | 2.55838e7i | 0.172115 | − | 0.0530904i | ||||
\(785\) | 5.31762e8 | − | 6.66808e8i | 1.09928 | − | 1.37845i | ||||
\(786\) | 1.08091e7 | − | 810028.i | 0.0222598 | − | 0.00166814i | ||||
\(787\) | 4.49280e8 | + | 1.38584e8i | 0.921707 | + | 0.284309i | 0.719064 | − | 0.694944i | \(-0.244571\pi\) |
0.202643 | + | 0.979253i | \(0.435047\pi\) | |||||||
\(788\) | −1.27311e8 | + | 8.67991e7i | −0.260188 | + | 0.177393i | ||||
\(789\) | 2.30897e8 | − | 3.48022e7i | 0.470098 | − | 0.0708558i | ||||
\(790\) | −4.06947e7 | + | 1.78295e8i | −0.0825384 | + | 0.361625i | ||||
\(791\) | −5.31167e8 | − | 4.92851e8i | −1.07325 | − | 0.995832i | ||||
\(792\) | 2.43508e8 | + | 1.82484e7i | 0.490161 | + | 0.0367325i | ||||
\(793\) | 3.12479e7 | + | 1.22639e7i | 0.0626615 | + | 0.0245928i | ||||
\(794\) | 2.78060e6 | − | 1.84481e7i | 0.00555491 | − | 0.0368544i | ||||
\(795\) | −4.06238e8 | + | 1.95634e8i | −0.808498 | + | 0.389352i | ||||
\(796\) | −3.38905e8 | − | 7.03744e8i | −0.671953 | − | 1.39532i | ||||
\(797\) | −4.40271e8 | − | 6.63601e7i | −0.869651 | − | 0.131079i | −0.300966 | − | 0.953635i | \(-0.597309\pi\) |
−0.568684 | + | 0.822556i | \(0.692547\pi\) | |||||||
\(798\) | 6.19191e7 | − | 1.57767e8i | 0.121847 | − | 0.310462i | ||||
\(799\) | 5.99013e7 | − | 7.99328e8i | 0.117435 | − | 1.56706i | ||||
\(800\) | −2.55864e7 | + | 2.75756e7i | −0.0499734 | + | 0.0538585i | ||||
\(801\) | 475644. | + | 108563.i | 0.000925516 | + | 0.000211243i | ||||
\(802\) | 2.36028e7 | + | 1.56594e8i | 0.0457552 | + | 0.303566i | ||||
\(803\) | −3.25065e8 | − | 4.76782e8i | −0.627802 | − | 0.920817i | ||||
\(804\) | −1.79671e8 | + | 5.82480e8i | −0.345709 | + | 1.12076i | ||||
\(805\) | 2.95812e7 | + | 3.94734e8i | 0.0567059 | + | 0.756688i | ||||
\(806\) | −7.15936e6 | − | 5.70940e6i | −0.0136732 | − | 0.0109040i | ||||
\(807\) | 2.05200e8 | + | 6.65244e8i | 0.390443 | + | 1.26579i | ||||
\(808\) | 1.37933e8 | − | 5.41346e7i | 0.261477 | − | 0.102622i | ||||
\(809\) | −4.77141e7 | − | 2.09049e8i | −0.0901159 | − | 0.394824i | 0.909674 | − | 0.415323i | \(-0.136331\pi\) |
−0.999790 | + | 0.0204996i | \(0.993474\pi\) | |||||||
\(810\) | 6.82886e7 | − | 1.18279e8i | 0.128497 | − | 0.222563i | ||||
\(811\) | 6.01596e8 | − | 3.47332e8i | 1.12783 | − | 0.651151i | 0.184440 | − | 0.982844i | \(-0.440953\pi\) |
0.943388 | + | 0.331693i | \(0.107620\pi\) | |||||||
\(812\) | −1.90581e8 | + | 1.76834e8i | −0.355969 | + | 0.330291i | ||||
\(813\) | −1.00645e9 | + | 8.02617e8i | −1.87293 | + | 1.49361i | ||||
\(814\) | −5.17322e7 | − | 3.52704e7i | −0.0959152 | − | 0.0653939i | ||||
\(815\) | −5.07325e7 | − | 2.44315e7i | −0.0937160 | − | 0.0451312i | ||||
\(816\) | 4.90699e8i | 0.903119i | ||||||||
\(817\) | 2.99402e8 | + | 4.17873e8i | 0.549020 | + | 0.766264i | ||||
\(818\) | 1.04289e8 | 0.190537 | ||||||||
\(819\) | 2.14081e7 | − | 4.44544e7i | 0.0389697 | − | 0.0809213i | ||||
\(820\) | −5.34500e8 | + | 7.83968e8i | −0.969407 | + | 1.42186i | ||||
\(821\) | −4.17603e8 | − | 5.23658e8i | −0.754631 | − | 0.946277i | 0.245100 | − | 0.969498i | \(-0.421179\pi\) |
−0.999730 | + | 0.0232208i | \(0.992608\pi\) | |||||||
\(822\) | 8.26915e7 | + | 8.91202e7i | 0.148883 | + | 0.160458i | ||||
\(823\) | −4.57178e8 | − | 7.91856e8i | −0.820136 | − | 1.42052i | −0.905581 | − | 0.424174i | \(-0.860564\pi\) |
0.0854446 | − | 0.996343i | \(-0.472769\pi\) | |||||||
\(824\) | −2.96688e8 | − | 1.71293e8i | −0.530296 | − | 0.306167i | ||||
\(825\) | 6.45766e7 | − | 1.47392e7i | 0.115004 | − | 0.0262489i | ||||
\(826\) | −4.21938e7 | − | 1.07508e8i | −0.0748700 | − | 0.190766i | ||||
\(827\) | −7.28186e8 | + | 2.24616e8i | −1.28744 | + | 0.397122i | −0.861558 | − | 0.507659i | \(-0.830511\pi\) |
−0.425878 | + | 0.904780i | \(0.640035\pi\) | |||||||
\(828\) | −2.98889e8 | + | 3.74795e8i | −0.526525 | + | 0.660242i | ||||
\(829\) | −7.67454e7 | + | 5.75127e6i | −0.134707 | + | 0.0100949i | −0.141913 | − | 0.989879i | \(-0.545325\pi\) |
0.00720618 | + | 0.999974i | \(0.497706\pi\) | |||||||
\(830\) | −1.42111e8 | − | 4.38355e7i | −0.248538 | − | 0.0766640i | ||||
\(831\) | −1.13899e9 | + | 7.76548e8i | −1.98479 | + | 1.35321i | ||||
\(832\) | 2.97967e7 | − | 4.49113e6i | 0.0517367 | − | 0.00779805i | ||||
\(833\) | −2.40782e7 | + | 1.05494e8i | −0.0416571 | + | 0.182512i | ||||
\(834\) | 2.18732e7 | + | 2.02953e7i | 0.0377063 | + | 0.0349863i | ||||
\(835\) | 9.16068e8 | + | 6.86498e7i | 1.57351 | + | 0.117918i | ||||
\(836\) | −3.92519e8 | − | 1.54052e8i | −0.671803 | − | 0.263663i | ||||
\(837\) | −9.22234e6 | + | 6.11862e7i | −0.0157277 | + | 0.104346i | ||||
\(838\) | −1.05574e8 | + | 5.08418e7i | −0.179401 | + | 0.0863951i | ||||
\(839\) | −2.26821e8 | − | 4.70998e8i | −0.384058 | − | 0.797504i | −0.999953 | − | 0.00967635i | \(-0.996920\pi\) |
0.615895 | − | 0.787828i | \(-0.288794\pi\) | |||||||
\(840\) | 4.17730e8 | + | 6.29626e7i | 0.704786 | + | 0.106229i | ||||
\(841\) | 1.38837e8 | − | 3.53750e8i | 0.233408 | − | 0.594714i | ||||
\(842\) | −5.94936e6 | + | 7.93887e7i | −0.00996630 | + | 0.132991i | ||||
\(843\) | −8.18798e8 | + | 8.82454e8i | −1.36677 | + | 1.47302i | ||||
\(844\) | 6.64756e8 | + | 1.51726e8i | 1.10569 | + | 0.252367i | ||||
\(845\) | −9.34166e7 | − | 6.19779e8i | −0.154830 | − | 1.02723i | ||||
\(846\) | −2.05354e8 | − | 3.01200e8i | −0.339151 | − | 0.497443i | ||||
\(847\) | 4.88414e7 | − | 1.58340e8i | 0.0803781 | − | 0.260579i | ||||
\(848\) | 2.08012e7 | + | 2.77572e8i | 0.0341115 | + | 0.455186i | ||||
\(849\) | 9.42306e8 | + | 7.51464e8i | 1.53982 | + | 1.22796i | ||||
\(850\) | −3.96650e6 | − | 1.28591e7i | −0.00645879 | − | 0.0209389i | ||||
\(851\) | 2.38441e8 | − | 9.35811e7i | 0.386894 | − | 0.151845i | ||||
\(852\) | −2.06315e8 | − | 9.03924e8i | −0.333589 | − | 1.46155i | ||||
\(853\) | 1.28572e8 | − | 2.22694e8i | 0.207157 | − | 0.358807i | −0.743661 | − | 0.668557i | \(-0.766912\pi\) |
0.950818 | + | 0.309750i | \(0.100245\pi\) | |||||||
\(854\) | 9.55514e7 | − | 5.51666e7i | 0.153413 | − | 0.0885733i | ||||
\(855\) | 5.01035e8 | − | 4.64892e8i | 0.801622 | − | 0.743797i | ||||
\(856\) | −2.13313e8 | + | 1.70111e8i | −0.340092 | + | 0.271214i | ||||
\(857\) | 3.55475e8 | + | 2.42359e8i | 0.564763 | + | 0.385049i | 0.811781 | − | 0.583962i | \(-0.198498\pi\) |
−0.247018 | + | 0.969011i | \(0.579451\pi\) | |||||||
\(858\) | 1.76682e7 | + | 8.50854e6i | 0.0279724 | + | 0.0134708i | ||||
\(859\) | − | 2.10850e8i | − | 0.332655i | −0.986071 | − | 0.166328i | \(-0.946809\pi\) | ||
0.986071 | − | 0.166328i | \(-0.0531910\pi\) | |||||||
\(860\) | −4.07595e8 | + | 4.60351e8i | −0.640816 | + | 0.723759i | ||||
\(861\) | 1.44470e9 | 2.26343 | ||||||||
\(862\) | −6.76123e7 | + | 1.40398e8i | −0.105561 | + | 0.219200i | ||||
\(863\) | 5.27746e8 | − | 7.74061e8i | 0.821093 | − | 1.20432i | −0.155203 | − | 0.987883i | \(-0.549603\pi\) |
0.976296 | − | 0.216440i | \(-0.0694446\pi\) | |||||||
\(864\) | 4.69211e7 | + | 5.88372e7i | 0.0727490 | + | 0.0912244i | ||||
\(865\) | 5.10201e8 | + | 5.49866e8i | 0.788303 | + | 0.849589i | ||||
\(866\) | 1.09652e7 | + | 1.89922e7i | 0.0168834 | + | 0.0292430i | ||||
\(867\) | 2.89502e8 | + | 1.67144e8i | 0.444216 | + | 0.256468i | ||||
\(868\) | 3.49599e8 | − | 7.97936e7i | 0.534577 | − | 0.122014i | ||||
\(869\) | −2.53101e8 | − | 6.44890e8i | −0.385686 | − | 0.982713i | ||||
\(870\) | 1.60048e8 | − | 4.93682e7i | 0.243048 | − | 0.0749703i | ||||
\(871\) | −3.34187e7 | + | 4.19057e7i | −0.0505749 | + | 0.0634189i | ||||
\(872\) | 2.60959e8 | − | 1.95562e7i | 0.393571 | − | 0.0294941i | ||||
\(873\) | −1.08966e9 | − | 3.36114e8i | −1.63775 | − | 0.505178i | ||||
\(874\) | −1.19633e8 | + | 8.15644e7i | −0.179191 | + | 0.122170i | ||||
\(875\) | −5.48440e8 | + | 8.26640e7i | −0.818662 | + | 0.123394i | ||||
\(876\) | 2.69023e8 | − | 1.17866e9i | 0.400199 | − | 1.75339i | ||||
\(877\) | 1.03676e8 | + | 9.61970e7i | 0.153702 | + | 0.142614i | 0.753275 | − | 0.657705i | \(-0.228473\pi\) |
−0.599574 | + | 0.800319i | \(0.704663\pi\) | |||||||
\(878\) | 6.60511e7 | + | 4.94984e6i | 0.0975880 | + | 0.00731321i | ||||
\(879\) | 9.01363e8 | + | 3.53759e8i | 1.32719 | + | 0.520884i | ||||
\(880\) | 6.83308e7 | − | 4.53345e8i | 0.100269 | − | 0.665244i | ||||
\(881\) | −4.45028e8 | + | 2.14314e8i | −0.650818 | + | 0.313417i | −0.730004 | − | 0.683443i | \(-0.760482\pi\) |
0.0791867 | + | 0.996860i | \(0.474768\pi\) | |||||||
\(882\) | 2.13518e7 | + | 4.43375e7i | 0.0311192 | + | 0.0646198i | ||||
\(883\) | 8.51049e8 | + | 1.28275e8i | 1.23615 | + | 0.186320i | 0.734416 | − | 0.678700i | \(-0.237456\pi\) |
0.501738 | + | 0.865020i | \(0.332694\pi\) | |||||||
\(884\) | −1.73414e7 | + | 4.41851e7i | −0.0251031 | + | 0.0639615i | ||||
\(885\) | 6.62437e7 | − | 8.83961e8i | 0.0955685 | − | 1.27527i | ||||
\(886\) | −1.20328e8 | + | 1.29683e8i | −0.173008 | + | 0.186459i | ||||
\(887\) | −9.02379e8 | − | 2.05962e8i | −1.29306 | − | 0.295132i | −0.479976 | − | 0.877282i | \(-0.659355\pi\) |
−0.813082 | + | 0.582150i | \(0.802212\pi\) | |||||||
\(888\) | −4.07429e7 | − | 2.70311e8i | −0.0581853 | − | 0.386034i | ||||
\(889\) | 3.70200e8 | + | 5.42984e8i | 0.526904 | + | 0.772826i | ||||
\(890\) | −51951.5 | + | 168423.i | −7.36933e−5 | + | 0.000238908i | ||||
\(891\) | 3.86636e7 | + | 5.15929e8i | 0.0546599 | + | 0.729386i | ||||
\(892\) | 3.99794e8 | + | 3.18825e8i | 0.563303 | + | 0.449219i | ||||
\(893\) | 3.86665e8 | + | 1.25354e9i | 0.542975 | + | 1.76028i | ||||
\(894\) | −1.53615e8 | + | 6.02896e7i | −0.214992 | + | 0.0843781i | ||||
\(895\) | −3.44655e7 | − | 1.51003e8i | −0.0480746 | − | 0.210629i | ||||
\(896\) | 2.85883e8 | − | 4.95164e8i | 0.397434 | − | 0.688376i | ||||
\(897\) | −6.94779e7 | + | 4.01131e7i | −0.0962653 | + | 0.0555788i | ||||
\(898\) | 7.25845e7 | − | 6.73486e7i | 0.100234 | − | 0.0930035i | ||||
\(899\) | 2.31636e8 | − | 1.84724e8i | 0.318807 | − | 0.254240i | ||||
\(900\) | 6.02448e7 | + | 4.10742e7i | 0.0826403 | + | 0.0563432i | ||||
\(901\) | −3.12646e8 | − | 1.50562e8i | −0.427443 | − | 0.205846i | ||||
\(902\) | 3.01690e8i | 0.411095i | ||||||||
\(903\) | 9.28732e8 | + | 1.17918e8i | 1.26132 | + | 0.160146i | ||||
\(904\) | 6.60645e8 | 0.894258 | ||||||||
\(905\) | 4.94954e8 | − | 1.02778e9i | 0.667757 | − | 1.38661i | ||||
\(906\) | −2.90443e8 | + | 4.26001e8i | −0.390549 | + | 0.572831i | ||||
\(907\) | −1.31884e8 | − | 1.65377e8i | −0.176754 | − | 0.221643i | 0.685560 | − | 0.728016i | \(-0.259557\pi\) |
−0.862315 | + | 0.506373i | \(0.830986\pi\) | |||||||
\(908\) | −1.88257e8 | − | 2.02893e8i | −0.251474 | − | 0.271025i | ||||
\(909\) | −2.18300e8 | − | 3.78107e8i | −0.290645 | − | 0.503411i | ||||
\(910\) | 1.54370e7 | + | 8.91256e6i | 0.0204851 | + | 0.0118271i | ||||
\(911\) | −3.06801e7 | + | 7.00254e6i | −0.0405791 | + | 0.00926190i | −0.242762 | − | 0.970086i | \(-0.578053\pi\) |
0.202183 | + | 0.979348i | \(0.435196\pi\) | |||||||
\(912\) | −2.93390e8 | − | 7.47546e8i | −0.386777 | − | 0.985493i | ||||
\(913\) | 5.38339e8 | − | 1.66056e8i | 0.707366 | − | 0.218193i | ||||
\(914\) | −6.24126e7 | + | 7.82630e7i | −0.0817399 | + | 0.102499i | ||||
\(915\) | 8.44481e8 | − | 6.32851e7i | 1.10237 | − | 0.0826110i | ||||
\(916\) | −1.19163e7 | − | 3.67570e6i | −0.0155044 | − | 0.00478249i | ||||
\(917\) | −3.08382e7 | + | 2.10251e7i | −0.0399928 | + | 0.0272666i | ||||
\(918\) | −2.66206e7 | + | 4.01241e6i | −0.0344104 | + | 0.00518654i | ||||
\(919\) | −2.12521e8 | + | 9.31115e8i | −0.273814 | + | 1.19966i | 0.631657 | + | 0.775248i | \(0.282375\pi\) |
−0.905471 | + | 0.424408i | \(0.860482\pi\) | |||||||
\(920\) | −2.64562e8 | − | 2.45478e8i | −0.339753 | − | 0.315245i | ||||
\(921\) | 1.05530e9 | + | 7.90835e7i | 1.35081 | + | 0.101229i | ||||
\(922\) | 1.09851e6 | + | 431133.i | 0.00140156 | + | 0.000550071i | ||||
\(923\) | 1.21510e7 | − | 8.06167e7i | 0.0154528 | − | 0.102523i | ||||
\(924\) | −6.91875e8 | + | 3.33189e8i | −0.877024 | + | 0.422353i | ||||
\(925\) | −1.69043e7 | − | 3.51021e7i | −0.0213585 | − | 0.0443514i | ||||
\(926\) | −2.59957e8 | − | 3.91822e7i | −0.327392 | − | 0.0493464i | ||||
\(927\) | −3.68787e8 | + | 9.39654e8i | −0.462953 | + | 1.17958i | ||||
\(928\) | 2.69275e7 | − | 3.59323e8i | 0.0336940 | − | 0.449615i | ||||
\(929\) | −5.49264e8 | + | 5.91966e8i | −0.685068 | + | 0.738328i | −0.975845 | − | 0.218463i | \(-0.929896\pi\) |
0.290777 | + | 0.956791i | \(0.406086\pi\) | |||||||
\(930\) | −2.25221e8 | − | 5.14053e7i | −0.280002 | − | 0.0639086i | ||||
\(931\) | −2.63934e7 | − | 1.75109e8i | −0.0327074 | − | 0.216999i | ||||
\(932\) | −1.77780e8 | − | 2.60756e8i | −0.219602 | − | 0.322096i | ||||
\(933\) | −4.04078e8 | + | 1.30999e9i | −0.497531 | + | 1.61296i | ||||
\(934\) | −1.13519e7 | − | 1.51480e8i | −0.0139324 | − | 0.185916i | ||||
\(935\) | 4.46859e8 | + | 3.56358e8i | 0.546683 | + | 0.435965i | ||||
\(936\) | 1.32598e7 | + | 4.29873e7i | 0.0161700 | + | 0.0524219i | ||||
\(937\) | −7.03916e8 | + | 2.76266e8i | −0.855661 | + | 0.335822i | −0.752299 | − | 0.658822i | \(-0.771055\pi\) |
−0.103362 | + | 0.994644i | \(0.532960\pi\) | |||||||
\(938\) | 3.92020e7 | + | 1.71755e8i | 0.0475006 | + | 0.208114i | ||||
\(939\) | 6.41362e8 | − | 1.11087e9i | 0.774652 | − | 1.34174i | ||||
\(940\) | −1.35884e9 | + | 7.84524e8i | −1.63600 | + | 0.944545i | ||||
\(941\) | 1.44058e8 | − | 1.33667e8i | 0.172890 | − | 0.160418i | −0.588982 | − | 0.808146i | \(-0.700471\pi\) |
0.761872 | + | 0.647728i | \(0.224281\pi\) | |||||||
\(942\) | 4.44194e8 | − | 3.54233e8i | 0.531399 | − | 0.423776i | ||||
\(943\) | −1.01977e9 | − | 6.95267e8i | −1.21609 | − | 0.829118i | ||||
\(944\) | −4.93038e8 | − | 2.37435e8i | −0.586090 | − | 0.282246i | ||||
\(945\) | − | 1.20449e8i | − | 0.142728i | ||||||
\(946\) | −2.46243e7 | + | 1.93943e8i | −0.0290865 | + | 0.229087i | ||||
\(947\) | 7.61934e8 | 0.897154 | 0.448577 | − | 0.893744i | \(-0.351931\pi\) | ||||
0.448577 | + | 0.893744i | \(0.351931\pi\) | |||||||
\(948\) | 6.29755e8 | − | 1.30770e9i | 0.739174 | − | 1.53491i | ||||
\(949\) | 5.98848e7 | − | 8.78348e7i | 0.0700677 | − | 0.102770i | ||||
\(950\) | 1.37312e7 | + | 1.72183e7i | 0.0160154 | + | 0.0200826i | ||||
\(951\) | −1.30924e9 | − | 1.41102e9i | −1.52222 | − | 1.64056i | ||||
\(952\) | 1.62561e8 | + | 2.81563e8i | 0.188410 | + | 0.326336i | ||||
\(953\) | 6.08802e8 | + | 3.51492e8i | 0.703392 | + | 0.406104i | 0.808610 | − | 0.588346i | \(-0.200221\pi\) |
−0.105217 | + | 0.994449i | \(0.533554\pi\) | |||||||
\(954\) | −1.53859e8 | + | 3.51173e7i | −0.177206 | + | 0.0404461i | ||||
\(955\) | 5.36377e8 | + | 1.36667e9i | 0.615828 | + | 1.56911i | ||||
\(956\) | −1.75181e8 | + | 5.40362e7i | −0.200500 | + | 0.0618460i | ||||
\(957\) | −3.95588e8 | + | 4.96052e8i | −0.451344 | + | 0.565967i | ||||
\(958\) | 8.90205e7 | − | 6.67116e6i | 0.101250 | − | 0.00758761i | ||||
\(959\) | −4.00023e8 | − | 1.23391e8i | −0.453554 | − | 0.139903i | ||||
\(960\) | 6.28099e8 | − | 4.28230e8i | 0.709928 | − | 0.484021i | ||||
\(961\) | 4.73511e8 | − | 7.13704e7i | 0.533532 | − | 0.0804170i | ||||
\(962\) | 2.56668e6 | − | 1.12454e7i | 0.00288302 | − | 0.0126313i | ||||
\(963\) | 5.89314e8 | + | 5.46803e8i | 0.659884 | + | 0.612283i | ||||
\(964\) | −1.31198e9 | − | 9.83194e7i | −1.46452 | − | 0.109751i | ||||
\(965\) | −7.26935e8 | − | 2.85301e8i | −0.808935 | − | 0.317484i | ||||
\(966\) | −3.93009e7 | + | 2.60744e8i | −0.0435984 | + | 0.289257i | ||||
\(967\) | 3.41466e8 | − | 1.64441e8i | 0.377631 | − | 0.181858i | −0.235433 | − | 0.971891i | \(-0.575651\pi\) |
0.613064 | + | 0.790033i | \(0.289937\pi\) | |||||||
\(968\) | 6.55499e7 | + | 1.36116e8i | 0.0722680 | + | 0.150066i | ||||
\(969\) | 9.89964e8 | + | 1.49213e8i | 1.08805 | + | 0.163997i | ||||
\(970\) | 1.50505e8 | − | 3.83481e8i | 0.164906 | − | 0.420173i | ||||
\(971\) | 9.25347e7 | − | 1.23479e9i | 0.101076 | − | 1.34876i | −0.684054 | − | 0.729431i | \(-0.739785\pi\) |
0.785130 | − | 0.619331i | \(-0.212596\pi\) | |||||||
\(972\) | −8.26890e8 | + | 8.91175e8i | −0.900427 | + | 0.970430i | ||||
\(973\) | −1.00168e8 | − | 2.28627e7i | −0.108740 | − | 0.0248193i | ||||
\(974\) | −3.51022e7 | − | 2.32888e8i | −0.0379889 | − | 0.252040i | ||||
\(975\) | 6.87392e6 | + | 1.00822e7i | 0.00741636 | + | 0.0108778i | ||||
\(976\) | 1.54095e8 | − | 4.99564e8i | 0.165745 | − | 0.537331i | ||||
\(977\) | 5.94248e7 | + | 7.92969e8i | 0.0637212 | + | 0.850301i | 0.933893 | + | 0.357552i | \(0.116389\pi\) |
−0.870172 | + | 0.492748i | \(0.835992\pi\) | |||||||
\(978\) | −2.93266e7 | − | 2.33872e7i | −0.0313506 | − | 0.0250012i | ||||
\(979\) | −196801. | − | 638012.i | −0.000209739 | − | 0.000679956i | ||||
\(980\) | 1.97169e8 | − | 7.73833e7i | 0.209489 | − | 0.0822184i | ||||
\(981\) | −1.71580e8 | − | 7.51742e8i | −0.181744 | − | 0.796273i | ||||
\(982\) | 1.69158e8 | − | 2.92991e8i | 0.178632 | − | 0.309400i | ||||
\(983\) | −4.87009e8 | + | 2.81175e8i | −0.512715 | + | 0.296016i | −0.733949 | − | 0.679205i | \(-0.762325\pi\) |
0.221234 | + | 0.975221i | \(0.428992\pi\) | |||||||
\(984\) | −9.65570e8 | + | 8.95918e8i | −1.01344 | + | 0.940336i | ||||
\(985\) | −2.67234e8 | + | 2.13112e8i | −0.279630 | + | 0.222997i | ||||
\(986\) | 1.06503e8 | + | 7.26128e7i | 0.111105 | + | 0.0757499i | ||||
\(987\) | 2.15244e9 | + | 1.03656e9i | 2.23861 | + | 1.07806i | ||||
\(988\) | − | 7.76813e7i | − | 0.0805464i | ||||||
\(989\) | −5.98815e8 | − | 5.30191e8i | −0.619019 | − | 0.548079i | ||||
\(990\) | 2.59935e8 | 0.267892 | ||||||||
\(991\) | −7.84015e8 | + | 1.62802e9i | −0.805570 | + | 1.67278i | −0.0678312 | + | 0.997697i | \(0.521608\pi\) |
−0.737739 | + | 0.675086i | \(0.764106\pi\) | |||||||
\(992\) | −2.79967e8 | + | 4.10637e8i | −0.286796 | + | 0.420652i | ||||
\(993\) | −1.11995e9 | − | 1.40437e9i | −1.14380 | − | 1.43428i | ||||
\(994\) | −1.82263e8 | − | 1.96433e8i | −0.185584 | − | 0.200011i | ||||
\(995\) | −8.66351e8 | − | 1.50056e9i | −0.879478 | − | 1.52330i | ||||
\(996\) | 1.02218e9 | + | 5.90155e8i | 1.03454 | + | 0.597294i | ||||
\(997\) | −8.71160e8 | + | 1.98837e8i | −0.879048 | + | 0.200637i | −0.638149 | − | 0.769913i | \(-0.720299\pi\) |
−0.240899 | + | 0.970550i | \(0.577442\pi\) | |||||||
\(998\) | 8.16421e7 | + | 2.08021e8i | 0.0821339 | + | 0.209274i | ||||
\(999\) | −7.44794e7 | + | 2.29739e7i | −0.0747033 | + | 0.0230429i |
(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 | 43.7.h.a.18.12 | yes | 252 | |
43.12 | odd | 42 | inner | 43.7.h.a.12.12 | ✓ | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.12.12 | ✓ | 252 | 43.12 | odd | 42 | inner | |
43.7.h.a.18.12 | yes | 252 | 1.1 | even | 1 | trivial |