Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,7,Mod(5,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 2]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.5");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.i (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.0425960138\) |
Analytic rank: | \(0\) |
Dimension: | \(92\) |
Relative dimension: | \(46\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.10 | ||
Character | \(\chi\) | \(=\) | 48.5 |
Dual form | 48.7.i.a.29.10 |
$q$-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 \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.62545 | + | 4.48369i | −0.828181 | + | 0.560461i | ||||
\(3\) | 17.3541 | − | 20.6842i | 0.642743 | − | 0.766082i | ||||
\(4\) | 23.7931 | − | 59.4129i | 0.371767 | − | 0.928326i | ||||
\(5\) | 77.8915 | − | 77.8915i | 0.623132 | − | 0.623132i | −0.323199 | − | 0.946331i | \(-0.604758\pi\) |
0.946331 | + | 0.323199i | \(0.104758\pi\) | |||||||
\(6\) | −22.2368 | + | 214.852i | −0.102948 | + | 0.994687i | ||||
\(7\) | − | 310.530i | − | 0.905336i | −0.891679 | − | 0.452668i | \(-0.850472\pi\) | ||
0.891679 | − | 0.452668i | \(-0.149528\pi\) | |||||||
\(8\) | 108.749 | + | 500.318i | 0.212400 | + | 0.977183i | ||||
\(9\) | −126.674 | − | 717.910i | −0.173764 | − | 0.984787i | ||||
\(10\) | −166.825 | + | 865.307i | −0.166825 | + | 0.865307i | ||||
\(11\) | −1027.05 | + | 1027.05i | −0.771639 | + | 0.771639i | −0.978393 | − | 0.206754i | \(-0.933710\pi\) |
0.206754 | + | 0.978393i | \(0.433710\pi\) | |||||||
\(12\) | −816.002 | − | 1523.20i | −0.472223 | − | 0.881479i | ||||
\(13\) | −1422.09 | + | 1422.09i | −0.647285 | + | 0.647285i | −0.952336 | − | 0.305051i | \(-0.901327\pi\) |
0.305051 | + | 0.952336i | \(0.401327\pi\) | |||||||
\(14\) | 1392.32 | + | 2057.40i | 0.507406 | + | 0.749782i | ||||
\(15\) | −259.392 | − | 2962.86i | −0.0768569 | − | 0.877884i | ||||
\(16\) | −2963.78 | − | 2827.23i | −0.723578 | − | 0.690242i | ||||
\(17\) | − | 6133.59i | − | 1.24844i | −0.781248 | − | 0.624221i | \(-0.785417\pi\) | ||
0.781248 | − | 0.624221i | \(-0.214583\pi\) | |||||||
\(18\) | 4058.15 | + | 4188.51i | 0.695843 | + | 0.718194i | ||||
\(19\) | 6349.13 | − | 6349.13i | 0.925665 | − | 0.925665i | −0.0717575 | − | 0.997422i | \(-0.522861\pi\) |
0.997422 | + | 0.0717575i | \(0.0228608\pi\) | |||||||
\(20\) | −2774.48 | − | 6481.04i | −0.346810 | − | 0.810130i | ||||
\(21\) | −6423.08 | − | 5388.96i | −0.693562 | − | 0.581898i | ||||
\(22\) | 2199.70 | − | 11409.7i | 0.206583 | − | 1.07153i | ||||
\(23\) | −3000.58 | −0.246616 | −0.123308 | − | 0.992368i | \(-0.539350\pi\) | ||||
−0.123308 | + | 0.992368i | \(0.539350\pi\) | |||||||
\(24\) | 12235.9 | + | 6433.15i | 0.885121 | + | 0.465361i | ||||
\(25\) | 3490.83i | 0.223413i | ||||||||
\(26\) | 3045.77 | − | 15798.1i | 0.173291 | − | 0.898847i | ||||
\(27\) | −17047.7 | − | 9838.50i | −0.866114 | − | 0.499847i | ||||
\(28\) | −18449.5 | − | 7388.48i | −0.840447 | − | 0.336574i | ||||
\(29\) | −17533.8 | − | 17533.8i | −0.718922 | − | 0.718922i | 0.249463 | − | 0.968384i | \(-0.419746\pi\) |
−0.968384 | + | 0.249463i | \(0.919746\pi\) | |||||||
\(30\) | 15003.1 | + | 18467.2i | 0.555671 | + | 0.683971i | ||||
\(31\) | 11354.1 | 0.381124 | 0.190562 | − | 0.981675i | \(-0.438969\pi\) | ||||
0.190562 | + | 0.981675i | \(0.438969\pi\) | |||||||
\(32\) | 32312.8 | + | 5443.03i | 0.986108 | + | 0.166108i | ||||
\(33\) | 3420.26 | + | 39067.3i | 0.0951737 | + | 1.08710i | ||||
\(34\) | 27501.1 | + | 40637.8i | 0.699703 | + | 1.03394i | ||||
\(35\) | −24187.7 | − | 24187.7i | −0.564144 | − | 0.564144i | ||||
\(36\) | −45667.1 | − | 9555.24i | −0.978803 | − | 0.204802i | ||||
\(37\) | −9399.09 | − | 9399.09i | −0.185558 | − | 0.185558i | 0.608214 | − | 0.793773i | \(-0.291886\pi\) |
−0.793773 | + | 0.608214i | \(0.791886\pi\) | |||||||
\(38\) | −13598.3 | + | 70533.4i | −0.247819 | + | 1.28542i | ||||
\(39\) | 4735.79 | + | 54093.7i | 0.0798359 | + | 0.911911i | ||||
\(40\) | 47441.1 | + | 30499.9i | 0.741267 | + | 0.476561i | ||||
\(41\) | −81655.3 | −1.18477 | −0.592384 | − | 0.805656i | \(-0.701813\pi\) | ||||
−0.592384 | + | 0.805656i | \(0.701813\pi\) | |||||||
\(42\) | 66718.2 | + | 6905.19i | 0.900526 | + | 0.0932026i | ||||
\(43\) | 66104.5 | + | 66104.5i | 0.831431 | + | 0.831431i | 0.987712 | − | 0.156282i | \(-0.0499509\pi\) |
−0.156282 | + | 0.987712i | \(0.549951\pi\) | |||||||
\(44\) | 36583.3 | + | 85456.8i | 0.429463 | + | 1.00320i | ||||
\(45\) | −65785.9 | − | 46052.3i | −0.721930 | − | 0.505375i | ||||
\(46\) | 19880.2 | − | 13453.7i | 0.204243 | − | 0.138219i | ||||
\(47\) | − | 39239.7i | − | 0.377948i | −0.981982 | − | 0.188974i | \(-0.939484\pi\) | ||
0.981982 | − | 0.188974i | \(-0.0605161\pi\) | |||||||
\(48\) | −109913. | + | 12239.5i | −0.993857 | + | 0.110672i | ||||
\(49\) | 21219.9 | 0.180366 | ||||||||
\(50\) | −15651.8 | − | 23128.3i | −0.125214 | − | 0.185026i | ||||
\(51\) | −126869. | − | 106443.i | −0.956409 | − | 0.802427i | ||||
\(52\) | 50654.4 | + | 118326.i | 0.360252 | + | 0.841531i | ||||
\(53\) | 199357. | − | 199357.i | 1.33907 | − | 1.33907i | 0.442115 | − | 0.896959i | \(-0.354228\pi\) |
0.896959 | − | 0.442115i | \(-0.145772\pi\) | |||||||
\(54\) | 157061. | − | 11252.2i | 0.997444 | − | 0.0714587i | ||||
\(55\) | 159997.i | 0.961666i | ||||||||
\(56\) | 155364. | − | 33769.8i | 0.884679 | − | 0.192293i | ||||
\(57\) | −21143.7 | − | 241510.i | −0.114171 | − | 1.30410i | ||||
\(58\) | 194785. | + | 37553.1i | 0.998325 | + | 0.192470i | ||||
\(59\) | −140266. | + | 140266.i | −0.682960 | + | 0.682960i | −0.960666 | − | 0.277706i | \(-0.910426\pi\) |
0.277706 | + | 0.960666i | \(0.410426\pi\) | |||||||
\(60\) | −182204. | − | 55084.4i | −0.843535 | − | 0.255020i | ||||
\(61\) | 279820. | − | 279820.i | 1.23279 | − | 1.23279i | 0.269902 | − | 0.962888i | \(-0.413009\pi\) |
0.962888 | − | 0.269902i | \(-0.0869912\pi\) | |||||||
\(62\) | −75225.7 | + | 50908.0i | −0.315639 | + | 0.213605i | ||||
\(63\) | −222933. | + | 39336.1i | −0.891564 | + | 0.157315i | ||||
\(64\) | −238491. | + | 108818.i | −0.909772 | + | 0.415107i | ||||
\(65\) | 221537.i | 0.806688i | ||||||||
\(66\) | −197826. | − | 243503.i | −0.688101 | − | 0.846978i | ||||
\(67\) | −352782. | + | 352782.i | −1.17296 | + | 1.17296i | −0.191456 | + | 0.981501i | \(0.561321\pi\) |
−0.981501 | + | 0.191456i | \(0.938679\pi\) | |||||||
\(68\) | −364414. | − | 145937.i | −1.15896 | − | 0.464130i | ||||
\(69\) | −52072.3 | + | 62064.7i | −0.158511 | + | 0.188928i | ||||
\(70\) | 268704. | + | 51804.2i | 0.783394 | + | 0.151033i | ||||
\(71\) | 353151. | 0.986700 | 0.493350 | − | 0.869831i | \(-0.335772\pi\) | ||||
0.493350 | + | 0.869831i | \(0.335772\pi\) | |||||||
\(72\) | 345407. | − | 141449.i | 0.925410 | − | 0.378968i | ||||
\(73\) | − | 365757.i | − | 0.940208i | −0.882611 | − | 0.470104i | \(-0.844216\pi\) | ||
0.882611 | − | 0.470104i | \(-0.155784\pi\) | |||||||
\(74\) | 104416. | + | 20130.6i | 0.257674 | + | 0.0496777i | ||||
\(75\) | 72205.0 | + | 60580.0i | 0.171153 | + | 0.143597i | ||||
\(76\) | −226155. | − | 528286.i | −0.515187 | − | 1.20345i | ||||
\(77\) | 318931. | + | 318931.i | 0.698593 | + | 0.698593i | ||||
\(78\) | −273916. | − | 337161.i | −0.577209 | − | 0.710483i | ||||
\(79\) | 469445. | 0.952146 | 0.476073 | − | 0.879406i | \(-0.342060\pi\) | ||||
0.476073 | + | 0.879406i | \(0.342060\pi\) | |||||||
\(80\) | −451070. | + | 10635.7i | −0.880997 | + | 0.0207728i | ||||
\(81\) | −499348. | + | 181881.i | −0.939612 | + | 0.342241i | ||||
\(82\) | 541003. | − | 366117.i | 0.981201 | − | 0.664016i | ||||
\(83\) | 671838. | + | 671838.i | 1.17498 | + | 1.17498i | 0.981007 | + | 0.193973i | \(0.0621374\pi\) |
0.193973 | + | 0.981007i | \(0.437863\pi\) | |||||||
\(84\) | −472998. | + | 253393.i | −0.798035 | + | 0.427521i | ||||
\(85\) | −477755. | − | 477755.i | −0.777944 | − | 0.777944i | ||||
\(86\) | −734364. | − | 141580.i | −1.15456 | − | 0.222591i | ||||
\(87\) | −666955. | + | 58390.4i | −1.01283 | + | 0.0886715i | ||||
\(88\) | −625543. | − | 402161.i | −0.917929 | − | 0.590136i | ||||
\(89\) | 289018. | 0.409972 | 0.204986 | − | 0.978765i | \(-0.434285\pi\) | ||||
0.204986 | + | 0.978765i | \(0.434285\pi\) | |||||||
\(90\) | 642345. | + | 10153.4i | 0.881132 | + | 0.0139279i | ||||
\(91\) | 441601. | + | 441601.i | 0.586011 | + | 0.586011i | ||||
\(92\) | −71393.1 | + | 178273.i | −0.0916839 | + | 0.228940i | ||||
\(93\) | 197039. | − | 234850.i | 0.244964 | − | 0.291972i | ||||
\(94\) | 175938. | + | 259980.i | 0.211825 | + | 0.313009i | ||||
\(95\) | − | 989087.i | − | 1.15362i | ||||||
\(96\) | 673342. | − | 573906.i | 0.761066 | − | 0.648675i | ||||
\(97\) | 356725. | 0.390858 | 0.195429 | − | 0.980718i | \(-0.437390\pi\) | ||||
0.195429 | + | 0.980718i | \(0.437390\pi\) | |||||||
\(98\) | −140591. | + | 95143.5i | −0.149376 | + | 0.101088i | ||||
\(99\) | 867431. | + | 607230.i | 0.893983 | + | 0.625817i | ||||
\(100\) | 207400. | + | 83057.5i | 0.207400 | + | 0.0830575i | ||||
\(101\) | 723463. | − | 723463.i | 0.702186 | − | 0.702186i | −0.262693 | − | 0.964879i | \(-0.584611\pi\) |
0.964879 | + | 0.262693i | \(0.0846106\pi\) | |||||||
\(102\) | 1.31782e6 | + | 136391.i | 1.24181 | + | 0.128525i | ||||
\(103\) | 878385.i | 0.803847i | 0.915673 | + | 0.401923i | \(0.131658\pi\) | ||||
−0.915673 | + | 0.401923i | \(0.868342\pi\) | |||||||
\(104\) | −866145. | − | 556844.i | −0.769999 | − | 0.495033i | ||||
\(105\) | −920057. | + | 80549.0i | −0.794780 | + | 0.0695813i | ||||
\(106\) | −426975. | + | 2.21469e6i | −0.358497 | + | 1.85949i | ||||
\(107\) | 952833. | − | 952833.i | 0.777796 | − | 0.777796i | −0.201660 | − | 0.979456i | \(-0.564634\pi\) |
0.979456 | + | 0.201660i | \(0.0646336\pi\) | |||||||
\(108\) | −990151. | + | 778765.i | −0.786014 | + | 0.618209i | ||||
\(109\) | −680307. | + | 680307.i | −0.525322 | + | 0.525322i | −0.919174 | − | 0.393852i | \(-0.871142\pi\) |
0.393852 | + | 0.919174i | \(0.371142\pi\) | |||||||
\(110\) | −717377. | − | 1.06005e6i | −0.538976 | − | 0.796434i | ||||
\(111\) | −357525. | + | 31300.6i | −0.261419 | + | 0.0228867i | ||||
\(112\) | −877941. | + | 920343.i | −0.624901 | + | 0.655082i | ||||
\(113\) | 138247.i | 0.0958121i | 0.998852 | + | 0.0479060i | \(0.0152548\pi\) | ||||
−0.998852 | + | 0.0479060i | \(0.984745\pi\) | |||||||
\(114\) | 1.22294e6 | + | 1.50531e6i | 0.825451 | + | 1.01604i | ||||
\(115\) | −233720. | + | 233720.i | −0.153675 | + | 0.153675i | ||||
\(116\) | −1.45891e6 | + | 624549.i | −0.934665 | + | 0.400122i | ||||
\(117\) | 1.20107e6 | + | 840788.i | 0.749913 | + | 0.524964i | ||||
\(118\) | 300415. | − | 1.55823e6i | 0.182842 | − | 0.948387i | ||||
\(119\) | −1.90467e6 | −1.13026 | ||||||||
\(120\) | 1.45416e6 | − | 451986.i | 0.841529 | − | 0.261566i | ||||
\(121\) | − | 338109.i | − | 0.190854i | ||||||
\(122\) | −599307. | + | 3.10856e6i | −0.330042 | + | 1.71190i | ||||
\(123\) | −1.41705e6 | + | 1.68898e6i | −0.761500 | + | 0.907629i | ||||
\(124\) | 270148. | − | 674577.i | 0.141689 | − | 0.353807i | ||||
\(125\) | 1.48896e6 | + | 1.48896e6i | 0.762348 | + | 0.762348i | ||||
\(126\) | 1.30066e6 | − | 1.26018e6i | 0.650207 | − | 0.629972i | ||||
\(127\) | 369091. | 0.180187 | 0.0900934 | − | 0.995933i | \(-0.471283\pi\) | ||||
0.0900934 | + | 0.995933i | \(0.471283\pi\) | |||||||
\(128\) | 1.09221e6 | − | 1.79029e6i | 0.520805 | − | 0.853676i | ||||
\(129\) | 2.51450e6 | − | 220139.i | 1.17134 | − | 0.102548i | ||||
\(130\) | −993302. | − | 1.46778e6i | −0.452117 | − | 0.668084i | ||||
\(131\) | 2.05595e6 | + | 2.05595e6i | 0.914530 | + | 0.914530i | 0.996625 | − | 0.0820941i | \(-0.0261608\pi\) |
−0.0820941 | + | 0.996625i | \(0.526161\pi\) | |||||||
\(132\) | 2.40248e6 | + | 726324.i | 1.04457 | + | 0.315798i | ||||
\(133\) | −1.97160e6 | − | 1.97160e6i | −0.838038 | − | 0.838038i | ||||
\(134\) | 755575. | − | 3.91911e6i | 0.314024 | − | 1.62882i | ||||
\(135\) | −2.09421e6 | + | 561537.i | −0.851174 | + | 0.228232i | ||||
\(136\) | 3.06875e6 | − | 667021.i | 1.21996 | − | 0.265169i | ||||
\(137\) | −3.22146e6 | −1.25283 | −0.626413 | − | 0.779491i | \(-0.715478\pi\) | ||||
−0.626413 | + | 0.779491i | \(0.715478\pi\) | |||||||
\(138\) | 66723.3 | − | 644682.i | 0.0253887 | − | 0.245306i | ||||
\(139\) | −1.27858e6 | − | 1.27858e6i | −0.476083 | − | 0.476083i | 0.427793 | − | 0.903877i | \(-0.359291\pi\) |
−0.903877 | + | 0.427793i | \(0.859291\pi\) | |||||||
\(140\) | −2.01256e6 | + | 861559.i | −0.733440 | + | 0.313979i | ||||
\(141\) | −811642. | − | 680967.i | −0.289539 | − | 0.242923i | ||||
\(142\) | −2.33978e6 | + | 1.58342e6i | −0.817166 | + | 0.553007i | ||||
\(143\) | − | 2.92111e6i | − | 0.998941i | ||||||
\(144\) | −1.65427e6 | + | 2.48586e6i | −0.554010 | + | 0.832510i | ||||
\(145\) | −2.73146e6 | −0.895966 | ||||||||
\(146\) | 1.63994e6 | + | 2.42330e6i | 0.526950 | + | 0.778662i | ||||
\(147\) | 368252. | − | 438918.i | 0.115929 | − | 0.138175i | ||||
\(148\) | −782061. | + | 334794.i | −0.241243 | + | 0.103274i | ||||
\(149\) | 3.08453e6 | − | 3.08453e6i | 0.932461 | − | 0.932461i | −0.0653987 | − | 0.997859i | \(-0.520832\pi\) |
0.997859 | + | 0.0653987i | \(0.0208319\pi\) | |||||||
\(150\) | −750012. | − | 77624.7i | −0.222226 | − | 0.0229999i | ||||
\(151\) | − | 3.73589e6i | − | 1.08508i | −0.840028 | − | 0.542542i | \(-0.817462\pi\) | ||
0.840028 | − | 0.542542i | \(-0.182538\pi\) | |||||||
\(152\) | 3.86704e6 | + | 2.48612e6i | 1.10115 | + | 0.707932i | ||||
\(153\) | −4.40337e6 | + | 776966.i | −1.22945 | + | 0.216934i | ||||
\(154\) | −3.54304e6 | − | 683073.i | −0.970095 | − | 0.187027i | ||||
\(155\) | 884384. | − | 884384.i | 0.237490 | − | 0.237490i | ||||
\(156\) | 3.32654e6 | + | 1.00569e6i | 0.876232 | + | 0.264905i | ||||
\(157\) | 1.30900e6 | − | 1.30900e6i | 0.338253 | − | 0.338253i | −0.517457 | − | 0.855710i | \(-0.673121\pi\) |
0.855710 | + | 0.517457i | \(0.173121\pi\) | |||||||
\(158\) | −3.11028e6 | + | 2.10484e6i | −0.788549 | + | 0.533640i | ||||
\(159\) | −663893. | − | 7.58320e6i | −0.165161 | − | 1.88652i | ||||
\(160\) | 2.94086e6 | − | 2.09293e6i | 0.717982 | − | 0.510968i | ||||
\(161\) | 931772.i | 0.223271i | ||||||||
\(162\) | 2.49291e6 | − | 3.44396e6i | 0.586356 | − | 0.810053i | ||||
\(163\) | −59111.6 | + | 59111.6i | −0.0136493 | + | 0.0136493i | −0.713898 | − | 0.700249i | \(-0.753072\pi\) |
0.700249 | + | 0.713898i | \(0.253072\pi\) | |||||||
\(164\) | −1.94283e6 | + | 4.85138e6i | −0.440457 | + | 1.09985i | ||||
\(165\) | 3.30942e6 | + | 2.77660e6i | 0.736715 | + | 0.618104i | ||||
\(166\) | −7.46354e6 | − | 1.43892e6i | −1.63163 | − | 0.314566i | ||||
\(167\) | −2.28355e6 | −0.490300 | −0.245150 | − | 0.969485i | \(-0.578837\pi\) | ||||
−0.245150 | + | 0.969485i | \(0.578837\pi\) | |||||||
\(168\) | 1.99769e6 | − | 3.79962e6i | 0.421308 | − | 0.801332i | ||||
\(169\) | 782154.i | 0.162044i | ||||||||
\(170\) | 5.30744e6 | + | 1.02324e6i | 1.08029 | + | 0.208271i | ||||
\(171\) | −5.36238e6 | − | 3.75384e6i | −1.07243 | − | 0.750736i | ||||
\(172\) | 5.50029e6 | − | 2.35463e6i | 1.08094 | − | 0.462740i | ||||
\(173\) | −3.47518e6 | − | 3.47518e6i | −0.671180 | − | 0.671180i | 0.286808 | − | 0.957988i | \(-0.407406\pi\) |
−0.957988 | + | 0.286808i | \(0.907406\pi\) | |||||||
\(174\) | 4.15707e6 | − | 3.37728e6i | 0.789113 | − | 0.641090i | ||||
\(175\) | 1.08401e6 | 0.202264 | ||||||||
\(176\) | 5.94767e6 | − | 140239.i | 1.09096 | − | 0.0257235i | ||||
\(177\) | 467108. | + | 5.33546e6i | 0.0842360 | + | 0.962171i | ||||
\(178\) | −1.91487e6 | + | 1.29586e6i | −0.339531 | + | 0.229773i | ||||
\(179\) | 2.91510e6 | + | 2.91510e6i | 0.508269 | + | 0.508269i | 0.913995 | − | 0.405726i | \(-0.132981\pi\) |
−0.405726 | + | 0.913995i | \(0.632981\pi\) | |||||||
\(180\) | −4.30135e6 | + | 2.81280e6i | −0.737543 | + | 0.482305i | ||||
\(181\) | 5.86054e6 | + | 5.86054e6i | 0.988330 | + | 0.988330i | 0.999933 | − | 0.0116025i | \(-0.00369326\pi\) |
−0.0116025 | + | 0.999933i | \(0.503693\pi\) | |||||||
\(182\) | −4.90580e6 | − | 945803.i | −0.813759 | − | 0.156887i | ||||
\(183\) | −931847. | − | 1.06439e7i | −0.152052 | − | 1.73678i | ||||
\(184\) | −326310. | − | 1.50124e6i | −0.0523813 | − | 0.240989i | ||||
\(185\) | −1.46422e6 | −0.231255 | ||||||||
\(186\) | −252478. | + | 2.43945e6i | −0.0392359 | + | 0.379099i | ||||
\(187\) | 6.29952e6 | + | 6.29952e6i | 0.963347 | + | 0.963347i | ||||
\(188\) | −2.33134e6 | − | 933633.i | −0.350859 | − | 0.140509i | ||||
\(189\) | −3.05515e6 | + | 5.29383e6i | −0.452530 | + | 0.784124i | ||||
\(190\) | 4.43476e6 | + | 6.55315e6i | 0.646560 | + | 0.955408i | ||||
\(191\) | 3.40903e6i | 0.489250i | 0.969618 | + | 0.244625i | \(0.0786649\pi\) | ||||
−0.969618 | + | 0.244625i | \(0.921335\pi\) | |||||||
\(192\) | −1.88798e6 | + | 6.82144e6i | −0.266743 | + | 0.963768i | ||||
\(193\) | −6.11510e6 | −0.850613 | −0.425306 | − | 0.905049i | \(-0.639834\pi\) | ||||
−0.425306 | + | 0.905049i | \(0.639834\pi\) | |||||||
\(194\) | −2.36346e6 | + | 1.59944e6i | −0.323701 | + | 0.219060i | ||||
\(195\) | 4.58232e6 | + | 3.84456e6i | 0.617990 | + | 0.518493i | ||||
\(196\) | 504888. | − | 1.26074e6i | 0.0670543 | − | 0.167439i | ||||
\(197\) | 7.02036e6 | − | 7.02036e6i | 0.918250 | − | 0.918250i | −0.0786521 | − | 0.996902i | \(-0.525062\pi\) |
0.996902 | + | 0.0786521i | \(0.0250616\pi\) | |||||||
\(198\) | −8.46975e6 | − | 133880.i | −1.09113 | − | 0.0172473i | ||||
\(199\) | 4.41617e6i | 0.560385i | 0.959944 | + | 0.280193i | \(0.0903984\pi\) | ||||
−0.959944 | + | 0.280193i | \(0.909602\pi\) | |||||||
\(200\) | −1.74652e6 | + | 379623.i | −0.218315 | + | 0.0474529i | ||||
\(201\) | 1.17482e6 | + | 1.34192e7i | 0.144672 | + | 1.65249i | ||||
\(202\) | −1.54948e6 | + | 8.03705e6i | −0.187989 | + | 0.975085i | ||||
\(203\) | −5.44477e6 | + | 5.44477e6i | −0.650866 | + | 0.650866i | ||||
\(204\) | −9.34266e6 | + | 5.00503e6i | −1.10048 | + | 0.589544i | ||||
\(205\) | −6.36026e6 | + | 6.36026e6i | −0.738266 | + | 0.738266i | ||||
\(206\) | −3.93840e6 | − | 5.81969e6i | −0.450525 | − | 0.665730i | ||||
\(207\) | 380095. | + | 2.15415e6i | 0.0428530 | + | 0.242865i | ||||
\(208\) | 8.23531e6 | − | 194179.i | 0.915145 | − | 0.0215780i | ||||
\(209\) | 1.30418e7i | 1.42856i | ||||||||
\(210\) | 5.73463e6 | − | 4.65892e6i | 0.619224 | − | 0.503069i | ||||
\(211\) | 8.74430e6 | − | 8.74430e6i | 0.930846 | − | 0.930846i | −0.0669131 | − | 0.997759i | \(-0.521315\pi\) |
0.997759 | + | 0.0669131i | \(0.0213150\pi\) | |||||||
\(212\) | −7.10106e6 | − | 1.65877e7i | −0.745273 | − | 1.74092i | ||||
\(213\) | 6.12860e6 | − | 7.30465e6i | 0.634194 | − | 0.755894i | ||||
\(214\) | −2.04074e6 | + | 1.05851e7i | −0.208231 | + | 1.08008i | ||||
\(215\) | 1.02980e7 | 1.03618 | ||||||||
\(216\) | 3.06845e6 | − | 9.59919e6i | 0.304480 | − | 0.952519i | ||||
\(217\) | − | 3.52578e6i | − | 0.345045i | ||||||
\(218\) | 1.45705e6 | − | 7.55762e6i | 0.140639 | − | 0.729484i | ||||
\(219\) | −7.56540e6 | − | 6.34736e6i | −0.720277 | − | 0.604312i | ||||
\(220\) | 9.50589e6 | + | 3.80683e6i | 0.892740 | + | 0.357516i | ||||
\(221\) | 8.72250e6 | + | 8.72250e6i | 0.808098 | + | 0.808098i | ||||
\(222\) | 2.22842e6 | − | 1.81041e6i | 0.203675 | − | 0.165470i | ||||
\(223\) | 7.67162e6 | 0.691787 | 0.345894 | − | 0.938274i | \(-0.387576\pi\) | ||||
0.345894 | + | 0.938274i | \(0.387576\pi\) | |||||||
\(224\) | 1.69022e6 | − | 1.00341e7i | 0.150384 | − | 0.892759i | ||||
\(225\) | 2.50610e6 | − | 442196.i | 0.220014 | − | 0.0388211i | ||||
\(226\) | −619856. | − | 915948.i | −0.0536989 | − | 0.0793497i | ||||
\(227\) | −3.03062e6 | − | 3.03062e6i | −0.259092 | − | 0.259092i | 0.565593 | − | 0.824685i | \(-0.308647\pi\) |
−0.824685 | + | 0.565593i | \(0.808647\pi\) | |||||||
\(228\) | −1.48519e7 | − | 4.49007e6i | −1.25307 | − | 0.378833i | ||||
\(229\) | −5.57443e6 | − | 5.57443e6i | −0.464188 | − | 0.464188i | 0.435837 | − | 0.900026i | \(-0.356452\pi\) |
−0.900026 | + | 0.435837i | \(0.856452\pi\) | |||||||
\(230\) | 500572. | − | 2.59643e6i | 0.0411418 | − | 0.213399i | ||||
\(231\) | 1.21316e7 | − | 1.06209e6i | 0.984195 | − | 0.0861642i | ||||
\(232\) | 6.86568e6 | − | 1.06792e7i | 0.549819 | − | 0.855217i | ||||
\(233\) | −2.31313e7 | −1.82865 | −0.914327 | − | 0.404976i | \(-0.867280\pi\) | ||||
−0.914327 | + | 0.404976i | \(0.867280\pi\) | |||||||
\(234\) | −1.17275e7 | − | 185374.i | −0.915285 | − | 0.0144678i | ||||
\(235\) | −3.05644e6 | − | 3.05644e6i | −0.235511 | − | 0.235511i | ||||
\(236\) | 4.99623e6 | + | 1.16709e7i | 0.380107 | + | 0.887911i | ||||
\(237\) | 8.14677e6 | − | 9.71010e6i | 0.611984 | − | 0.729422i | ||||
\(238\) | 1.26193e7 | − | 8.53993e6i | 0.936059 | − | 0.633466i | ||||
\(239\) | − | 8.10890e6i | − | 0.593975i | −0.954881 | − | 0.296987i | \(-0.904018\pi\) | ||
0.954881 | − | 0.296987i | \(-0.0959820\pi\) | |||||||
\(240\) | −7.60791e6 | + | 9.51461e6i | −0.550341 | + | 0.688268i | ||||
\(241\) | 5.60281e6 | 0.400272 | 0.200136 | − | 0.979768i | \(-0.435862\pi\) | ||||
0.200136 | + | 0.979768i | \(0.435862\pi\) | |||||||
\(242\) | 1.51598e6 | + | 2.24013e6i | 0.106966 | + | 0.158062i | ||||
\(243\) | −4.90365e6 | + | 1.34850e7i | −0.341744 | + | 0.939793i | ||||
\(244\) | −9.96712e6 | − | 2.32827e7i | −0.686120 | − | 1.60274i | ||||
\(245\) | 1.65285e6 | − | 1.65285e6i | 0.112392 | − | 0.112392i | ||||
\(246\) | 1.81575e6 | − | 1.75438e7i | 0.121969 | − | 1.17847i | ||||
\(247\) | 1.80580e7i | 1.19834i | ||||||||
\(248\) | 1.23474e6 | + | 5.68063e6i | 0.0809507 | + | 0.372427i | ||||
\(249\) | 2.55556e7 | − | 2.23733e6i | 1.65534 | − | 0.144922i | ||||
\(250\) | −1.65411e7 | − | 3.18900e6i | −1.05863 | − | 0.204096i | ||||
\(251\) | 6.97970e6 | − | 6.97970e6i | 0.441383 | − | 0.441383i | −0.451094 | − | 0.892477i | \(-0.648966\pi\) |
0.892477 | + | 0.451094i | \(0.148966\pi\) | |||||||
\(252\) | −2.96719e6 | + | 1.41810e7i | −0.185415 | + | 0.886146i | ||||
\(253\) | 3.08175e6 | − | 3.08175e6i | 0.190299 | − | 0.190299i | ||||
\(254\) | −2.44540e6 | + | 1.65489e6i | −0.149227 | + | 0.100988i | ||||
\(255\) | −1.81730e7 | + | 1.59100e6i | −1.09599 | + | 0.0959513i | ||||
\(256\) | 790733. | + | 1.67586e7i | 0.0471314 | + | 0.998889i | ||||
\(257\) | − | 1.05065e7i | − | 0.618953i | −0.950907 | − | 0.309477i | \(-0.899846\pi\) | ||
0.950907 | − | 0.309477i | \(-0.100154\pi\) | |||||||
\(258\) | −1.56727e7 | + | 1.27328e7i | −0.912607 | + | 0.741419i | ||||
\(259\) | −2.91870e6 | + | 2.91870e6i | −0.167993 | + | 0.167993i | ||||
\(260\) | 1.31621e7 | + | 5.27105e6i | 0.748870 | + | 0.299900i | ||||
\(261\) | −1.03666e7 | + | 1.48087e7i | −0.583062 | + | 0.832907i | ||||
\(262\) | −2.28398e7 | − | 4.40335e6i | −1.26996 | − | 0.244838i | ||||
\(263\) | −3.43943e7 | −1.89068 | −0.945342 | − | 0.326080i | \(-0.894272\pi\) | ||||
−0.945342 | + | 0.326080i | \(0.894272\pi\) | |||||||
\(264\) | −1.91741e7 | + | 5.95973e6i | −1.04208 | + | 0.323903i | ||||
\(265\) | − | 3.10565e7i | − | 1.66884i | ||||||
\(266\) | 2.19028e7 | + | 4.22269e6i | 1.16373 | + | 0.224359i | ||||
\(267\) | 5.01563e6 | − | 5.97810e6i | 0.263507 | − | 0.314072i | ||||
\(268\) | 1.25660e7 | + | 2.93536e7i | 0.652820 | + | 1.52495i | ||||
\(269\) | 1.47409e6 | + | 1.47409e6i | 0.0757296 | + | 0.0757296i | 0.743957 | − | 0.668227i | \(-0.232947\pi\) |
−0.668227 | + | 0.743957i | \(0.732947\pi\) | |||||||
\(270\) | 1.13573e7 | − | 1.31102e7i | 0.577011 | − | 0.666067i | ||||
\(271\) | −2.60363e6 | −0.130819 | −0.0654096 | − | 0.997858i | \(-0.520835\pi\) | ||||
−0.0654096 | + | 0.997858i | \(0.520835\pi\) | |||||||
\(272\) | −1.73411e7 | + | 1.81786e7i | −0.861727 | + | 0.903346i | ||||
\(273\) | 1.67977e7 | − | 1.47060e6i | 0.825586 | − | 0.0722783i | ||||
\(274\) | 2.13436e7 | − | 1.44440e7i | 1.03757 | − | 0.702160i | ||||
\(275\) | −3.58526e6 | − | 3.58526e6i | −0.172394 | − | 0.172394i | ||||
\(276\) | 2.44848e6 | + | 4.57047e6i | 0.116458 | + | 0.217387i | ||||
\(277\) | −2.21180e7 | − | 2.21180e7i | −1.04065 | − | 1.04065i | −0.999138 | − | 0.0415157i | \(-0.986781\pi\) |
−0.0415157 | − | 0.999138i | \(-0.513219\pi\) | |||||||
\(278\) | 1.42039e7 | + | 2.73841e6i | 0.661109 | + | 0.127457i | ||||
\(279\) | −1.43826e6 | − | 8.15119e6i | −0.0662255 | − | 0.375326i | ||||
\(280\) | 9.47114e6 | − | 1.47319e7i | 0.431448 | − | 0.671096i | ||||
\(281\) | 3.37592e6 | 0.152151 | 0.0760753 | − | 0.997102i | \(-0.475761\pi\) | ||||
0.0760753 | + | 0.997102i | \(0.475761\pi\) | |||||||
\(282\) | 8.43073e6 | + | 872564.i | 0.375940 | + | 0.0389090i | ||||
\(283\) | 2.77260e7 | + | 2.77260e7i | 1.22329 | + | 1.22329i | 0.966456 | + | 0.256831i | \(0.0826782\pi\) |
0.256831 | + | 0.966456i | \(0.417322\pi\) | |||||||
\(284\) | 8.40255e6 | − | 2.09817e7i | 0.366823 | − | 0.915980i | ||||
\(285\) | −2.04585e7 | − | 1.71647e7i | −0.883770 | − | 0.741482i | ||||
\(286\) | 1.30973e7 | + | 1.93537e7i | 0.559868 | + | 0.827304i | ||||
\(287\) | 2.53565e7i | 1.07261i | ||||||||
\(288\) | −185580. | − | 2.38872e7i | −0.00776881 | − | 0.999970i | ||||
\(289\) | −1.34834e7 | −0.558607 | ||||||||
\(290\) | 1.80972e7 | − | 1.22470e7i | 0.742022 | − | 0.502154i | ||||
\(291\) | 6.19063e6 | − | 7.37858e6i | 0.251221 | − | 0.299429i | ||||
\(292\) | −2.17307e7 | − | 8.70249e6i | −0.872820 | − | 0.349538i | ||||
\(293\) | −3.29847e7 | + | 3.29847e7i | −1.31132 | + | 1.31132i | −0.390884 | + | 0.920440i | \(0.627831\pi\) |
−0.920440 | + | 0.390884i | \(0.872169\pi\) | |||||||
\(294\) | −471863. | + | 4.55915e6i | −0.0185684 | + | 0.179408i | ||||
\(295\) | 2.18510e7i | 0.851148i | ||||||||
\(296\) | 3.68039e6 | − | 5.72467e6i | 0.141912 | − | 0.220737i | ||||
\(297\) | 2.76135e7 | − | 7.40424e6i | 1.05403 | − | 0.282625i | ||||
\(298\) | −6.60633e6 | + | 3.42665e7i | −0.249638 | + | 1.29485i | ||||
\(299\) | 4.26708e6 | − | 4.26708e6i | 0.159631 | − | 0.159631i | ||||
\(300\) | 5.31721e6 | − | 2.84852e6i | 0.196934 | − | 0.105501i | ||||
\(301\) | 2.05275e7 | − | 2.05275e7i | 0.752724 | − | 0.752724i | ||||
\(302\) | 1.67506e7 | + | 2.47520e7i | 0.608148 | + | 0.898646i | ||||
\(303\) | −2.40926e6 | − | 2.75193e7i | −0.0866074 | − | 0.989258i | ||||
\(304\) | −3.67679e7 | + | 866942.i | −1.30872 | + | 0.0308581i | ||||
\(305\) | − | 4.35912e7i | − | 1.53638i | ||||||
\(306\) | 2.56906e7 | − | 2.48911e7i | 0.896624 | − | 0.868719i | ||||
\(307\) | −3.51931e7 | + | 3.51931e7i | −1.21630 | + | 1.21630i | −0.247387 | + | 0.968917i | \(0.579572\pi\) |
−0.968917 | + | 0.247387i | \(0.920428\pi\) | |||||||
\(308\) | 2.65369e7 | − | 1.13602e7i | 0.908236 | − | 0.388808i | ||||
\(309\) | 1.81687e7 | + | 1.52435e7i | 0.615813 | + | 0.516667i | ||||
\(310\) | −1.89414e6 | + | 9.82475e6i | −0.0635809 | + | 0.329789i | ||||
\(311\) | −1.12861e7 | −0.375199 | −0.187599 | − | 0.982246i | \(-0.560071\pi\) | ||||
−0.187599 | + | 0.982246i | \(0.560071\pi\) | |||||||
\(312\) | −2.65490e7 | + | 8.25202e6i | −0.874147 | + | 0.271704i | ||||
\(313\) | 1.74518e7i | 0.569123i | 0.958658 | + | 0.284562i | \(0.0918480\pi\) | ||||
−0.958658 | + | 0.284562i | \(0.908152\pi\) | |||||||
\(314\) | −2.80357e6 | + | 1.45419e7i | −0.0905571 | + | 0.469712i | ||||
\(315\) | −1.43006e7 | + | 2.04285e7i | −0.457534 | + | 0.653590i | ||||
\(316\) | 1.11695e7 | − | 2.78911e7i | 0.353976 | − | 0.883901i | ||||
\(317\) | 1.47576e7 | + | 1.47576e7i | 0.463273 | + | 0.463273i | 0.899727 | − | 0.436454i | \(-0.143766\pi\) |
−0.436454 | + | 0.899727i | \(0.643766\pi\) | |||||||
\(318\) | 3.83993e7 | + | 4.72654e7i | 1.19410 | + | 1.46981i | ||||
\(319\) | 3.60162e7 | 1.10950 | ||||||||
\(320\) | −1.01005e7 | + | 2.70524e7i | −0.308242 | + | 0.825575i | ||||
\(321\) | −3.17309e6 | − | 3.62441e7i | −0.0959330 | − | 1.09578i | ||||
\(322\) | −4.17777e6 | − | 6.17340e6i | −0.125135 | − | 0.184909i | ||||
\(323\) | −3.89430e7 | − | 3.89430e7i | −1.15564 | − | 1.15564i | ||||
\(324\) | −1.07498e6 | + | 3.39952e7i | −0.0316058 | + | 0.999500i | ||||
\(325\) | −4.96425e6 | − | 4.96425e6i | −0.144612 | − | 0.144612i | ||||
\(326\) | 126603. | − | 656679.i | 0.00365419 | − | 0.0189540i | ||||
\(327\) | 2.26554e6 | + | 2.58777e7i | 0.0647930 | + | 0.740086i | ||||
\(328\) | −8.87992e6 | − | 4.08536e7i | −0.251645 | − | 1.15773i | ||||
\(329\) | −1.21851e7 | −0.342170 | ||||||||
\(330\) | −3.43758e7 | − | 3.55782e6i | −0.956557 | − | 0.0990016i | ||||
\(331\) | 912322. | + | 912322.i | 0.0251573 | + | 0.0251573i | 0.719574 | − | 0.694416i | \(-0.244337\pi\) |
−0.694416 | + | 0.719574i | \(0.744337\pi\) | |||||||
\(332\) | 5.59009e7 | − | 2.39307e7i | 1.52758 | − | 0.653946i | ||||
\(333\) | −5.55708e6 | + | 7.93832e6i | −0.150492 | + | 0.214979i | ||||
\(334\) | 1.51296e7 | − | 1.02387e7i | 0.406057 | − | 0.274794i | ||||
\(335\) | 5.49575e7i | 1.46181i | ||||||||
\(336\) | 3.80073e6 | + | 3.41312e7i | 0.100196 | + | 0.899775i | ||||
\(337\) | −2.91976e7 | −0.762881 | −0.381440 | − | 0.924393i | \(-0.624572\pi\) | ||||
−0.381440 | + | 0.924393i | \(0.624572\pi\) | |||||||
\(338\) | −3.50693e6 | − | 5.18212e6i | −0.0908192 | − | 0.134201i | ||||
\(339\) | 2.85953e6 | + | 2.39914e6i | 0.0733999 | + | 0.0615825i | ||||
\(340\) | −3.97521e7 | + | 1.70175e7i | −1.01140 | + | 0.432972i | ||||
\(341\) | −1.16612e7 | + | 1.16612e7i | −0.294090 | + | 0.294090i | ||||
\(342\) | 5.23592e7 | + | 827633.i | 1.30892 | + | 0.0206900i | ||||
\(343\) | − | 4.31230e7i | − | 1.06863i | ||||||
\(344\) | −2.58845e7 | + | 4.02621e7i | −0.635864 | + | 0.989055i | ||||
\(345\) | 778327. | + | 8.89030e6i | 0.0189542 | + | 0.216501i | ||||
\(346\) | 3.86062e7 | + | 7.44300e6i | 0.932029 | + | 0.179688i | ||||
\(347\) | 2.35265e7 | − | 2.35265e7i | 0.563078 | − | 0.563078i | −0.367103 | − | 0.930180i | \(-0.619650\pi\) |
0.930180 | + | 0.367103i | \(0.119650\pi\) | |||||||
\(348\) | −1.23998e7 | + | 4.10150e7i | −0.294223 | + | 0.973206i | ||||
\(349\) | −3.43475e6 | + | 3.43475e6i | −0.0808013 | + | 0.0808013i | −0.746352 | − | 0.665551i | \(-0.768197\pi\) |
0.665551 | + | 0.746352i | \(0.268197\pi\) | |||||||
\(350\) | −7.18203e6 | + | 4.86035e6i | −0.167511 | + | 0.113361i | ||||
\(351\) | 3.82345e7 | − | 1.02521e7i | 0.884166 | − | 0.237079i | ||||
\(352\) | −3.87772e7 | + | 2.75966e7i | −0.889095 | + | 0.632744i | ||||
\(353\) | − | 519893.i | − | 0.0118193i | −0.999983 | − | 0.00590963i | \(-0.998119\pi\) | ||
0.999983 | − | 0.00590963i | \(-0.00188110\pi\) | |||||||
\(354\) | −2.70173e7 | − | 3.32555e7i | −0.609022 | − | 0.749641i | ||||
\(355\) | 2.75075e7 | − | 2.75075e7i | 0.614845 | − | 0.614845i | ||||
\(356\) | 6.87662e6 | − | 1.71714e7i | 0.152414 | − | 0.380588i | ||||
\(357\) | −3.30537e7 | + | 3.93966e7i | −0.726466 | + | 0.865872i | ||||
\(358\) | −3.23842e7 | − | 6.24343e6i | −0.705804 | − | 0.136074i | ||||
\(359\) | 8.00215e7 | 1.72951 | 0.864755 | − | 0.502194i | \(-0.167474\pi\) | ||||
0.864755 | + | 0.502194i | \(0.167474\pi\) | |||||||
\(360\) | 1.58866e7 | − | 3.79220e7i | 0.340505 | − | 0.812800i | ||||
\(361\) | − | 3.35771e7i | − | 0.713710i | ||||||
\(362\) | −6.51056e7 | − | 1.25519e7i | −1.37244 | − | 0.264596i | ||||
\(363\) | −6.99353e6 | − | 5.86757e6i | −0.146210 | − | 0.122670i | ||||
\(364\) | 3.67438e7 | − | 1.57297e7i | 0.761869 | − | 0.326149i | ||||
\(365\) | −2.84894e7 | − | 2.84894e7i | −0.585874 | − | 0.585874i | ||||
\(366\) | 5.38977e7 | + | 6.63422e7i | 1.09933 | + | 1.35315i | ||||
\(367\) | −8.64094e7 | −1.74809 | −0.874043 | − | 0.485848i | \(-0.838511\pi\) | ||||
−0.874043 | + | 0.485848i | \(0.838511\pi\) | |||||||
\(368\) | 8.89306e6 | + | 8.48334e6i | 0.178446 | + | 0.170225i | ||||
\(369\) | 1.03436e7 | + | 5.86212e7i | 0.205870 | + | 1.16674i | ||||
\(370\) | 9.70111e6 | − | 6.56510e6i | 0.191521 | − | 0.129609i | ||||
\(371\) | −6.19065e7 | − | 6.19065e7i | −1.21231 | − | 1.21231i | ||||
\(372\) | −9.26493e6 | − | 1.72944e7i | −0.179976 | − | 0.335952i | ||||
\(373\) | −3.64362e7 | − | 3.64362e7i | −0.702112 | − | 0.702112i | 0.262752 | − | 0.964863i | \(-0.415370\pi\) |
−0.964863 | + | 0.262752i | \(0.915370\pi\) | |||||||
\(374\) | −6.99822e7 | − | 1.34921e7i | −1.33774 | − | 0.257907i | ||||
\(375\) | 5.66375e7 | − | 4.95849e6i | 1.07401 | − | 0.0940277i | ||||
\(376\) | 1.96323e7 | − | 4.26727e6i | 0.369324 | − | 0.0802761i | ||||
\(377\) | 4.98691e7 | 0.930695 | ||||||||
\(378\) | −3.49414e6 | − | 4.87723e7i | −0.0646942 | − | 0.903022i | ||||
\(379\) | −9.14432e6 | − | 9.14432e6i | −0.167971 | − | 0.167971i | 0.618116 | − | 0.786087i | \(-0.287896\pi\) |
−0.786087 | + | 0.618116i | \(0.787896\pi\) | |||||||
\(380\) | −5.87645e7 | − | 2.35334e7i | −1.07094 | − | 0.428879i | ||||
\(381\) | 6.40523e6 | − | 7.63437e6i | 0.115814 | − | 0.138038i | ||||
\(382\) | −1.52850e7 | − | 2.25864e7i | −0.274206 | − | 0.405188i | ||||
\(383\) | 1.02744e8i | 1.82878i | 0.404839 | + | 0.914388i | \(0.367328\pi\) | ||||
−0.404839 | + | 0.914388i | \(0.632672\pi\) | |||||||
\(384\) | −1.80765e7 | − | 5.36602e7i | −0.319242 | − | 0.947673i | ||||
\(385\) | 4.96840e7 | 0.870631 | ||||||||
\(386\) | 4.05153e7 | − | 2.74182e7i | 0.704461 | − | 0.476735i | ||||
\(387\) | 3.90834e7 | − | 5.58308e7i | 0.674310 | − | 0.963255i | ||||
\(388\) | 8.48760e6 | − | 2.11941e7i | 0.145308 | − | 0.362843i | ||||
\(389\) | 5.76988e7 | − | 5.76988e7i | 0.980208 | − | 0.980208i | −0.0195997 | − | 0.999808i | \(-0.506239\pi\) |
0.999808 | + | 0.0195997i | \(0.00623918\pi\) | |||||||
\(390\) | −4.75977e7 | − | 4.92626e6i | −0.802402 | − | 0.0830470i | ||||
\(391\) | 1.84044e7i | 0.307886i | ||||||||
\(392\) | 2.30764e6 | + | 1.06167e7i | 0.0383098 | + | 0.176251i | ||||
\(393\) | 7.82047e7 | − | 6.84665e6i | 1.28841 | − | 0.112798i | ||||
\(394\) | −1.50359e7 | + | 7.79902e7i | −0.245834 | + | 1.27512i | ||||
\(395\) | 3.65658e7 | − | 3.65658e7i | 0.593312 | − | 0.593312i | ||||
\(396\) | 5.67162e7 | − | 3.70887e7i | 0.913316 | − | 0.597250i | ||||
\(397\) | −3.38251e7 | + | 3.38251e7i | −0.540590 | + | 0.540590i | −0.923702 | − | 0.383112i | \(-0.874852\pi\) |
0.383112 | + | 0.923702i | \(0.374852\pi\) | |||||||
\(398\) | −1.98007e7 | − | 2.92591e7i | −0.314074 | − | 0.464100i | ||||
\(399\) | −7.49962e7 | + | 6.56576e6i | −1.18065 | + | 0.103363i | ||||
\(400\) | 9.86937e6 | − | 1.03460e7i | 0.154209 | − | 0.161657i | ||||
\(401\) | 1.80656e7i | 0.280169i | 0.990140 | + | 0.140084i | \(0.0447374\pi\) | ||||
−0.990140 | + | 0.140084i | \(0.955263\pi\) | |||||||
\(402\) | −6.79513e7 | − | 8.36408e7i | −1.04597 | − | 1.28748i | ||||
\(403\) | −1.61464e7 | + | 1.61464e7i | −0.246696 | + | 0.246696i | ||||
\(404\) | −2.57696e7 | − | 6.01965e7i | −0.390808 | − | 0.912908i | ||||
\(405\) | −2.47280e7 | + | 5.30620e7i | −0.372241 | + | 0.798764i | ||||
\(406\) | 1.16614e7 | − | 6.04867e7i | 0.174250 | − | 0.903819i | ||||
\(407\) | 1.93067e7 | 0.286368 | ||||||||
\(408\) | 3.94584e7 | − | 7.50501e7i | 0.580976 | − | 1.10502i | ||||
\(409\) | 8.45299e7i | 1.23549i | 0.786377 | + | 0.617746i | \(0.211954\pi\) | ||||
−0.786377 | + | 0.617746i | \(0.788046\pi\) | |||||||
\(410\) | 1.36221e7 | − | 7.06569e7i | 0.197649 | − | 1.02519i | ||||
\(411\) | −5.59054e7 | + | 6.66334e7i | −0.805245 | + | 0.959768i | ||||
\(412\) | 5.21874e7 | + | 2.08995e7i | 0.746232 | + | 0.298844i | ||||
\(413\) | 4.35567e7 | + | 4.35567e7i | 0.618308 | + | 0.618308i | ||||
\(414\) | −1.21768e7 | − | 1.25680e7i | −0.171606 | − | 0.177118i | ||||
\(415\) | 1.04661e8 | 1.46434 | ||||||||
\(416\) | −5.36920e7 | + | 3.82111e7i | −0.745812 | + | 0.530774i | ||||
\(417\) | −4.86349e7 | + | 4.25788e6i | −0.670718 | + | 0.0587199i | ||||
\(418\) | −5.84753e7 | − | 8.64076e7i | −0.800651 | − | 1.18310i | ||||
\(419\) | 4.87260e7 | + | 4.87260e7i | 0.662397 | + | 0.662397i | 0.955944 | − | 0.293548i | \(-0.0948359\pi\) |
−0.293548 | + | 0.955944i | \(0.594836\pi\) | |||||||
\(420\) | −1.71054e7 | + | 5.65798e7i | −0.230879 | + | 0.763683i | ||||
\(421\) | 6.36969e7 | + | 6.36969e7i | 0.853635 | + | 0.853635i | 0.990579 | − | 0.136944i | \(-0.0437281\pi\) |
−0.136944 | + | 0.990579i | \(0.543728\pi\) | |||||||
\(422\) | −1.87282e7 | + | 9.71416e7i | −0.249206 | + | 1.29261i | ||||
\(423\) | −2.81705e7 | + | 4.97064e6i | −0.372198 | + | 0.0656737i | ||||
\(424\) | 1.21422e8 | + | 7.80621e7i | 1.59294 | + | 1.02410i | ||||
\(425\) | 2.14113e7 | 0.278918 | ||||||||
\(426\) | −7.85294e6 | + | 7.58753e7i | −0.101579 | + | 0.981458i | ||||
\(427\) | −8.68925e7 | − | 8.68925e7i | −1.11609 | − | 1.11609i | ||||
\(428\) | −3.39397e7 | − | 7.92814e7i | −0.432889 | − | 1.01121i | ||||
\(429\) | −6.04209e7 | − | 5.06931e7i | −0.765271 | − | 0.642062i | ||||
\(430\) | −6.82286e7 | + | 4.61729e7i | −0.858146 | + | 0.580740i | ||||
\(431\) | 6.42503e7i | 0.802497i | 0.915969 | + | 0.401248i | \(0.131424\pi\) | ||||
−0.915969 | + | 0.401248i | \(0.868576\pi\) | |||||||
\(432\) | 2.27099e7 | + | 7.73569e7i | 0.281685 | + | 0.959507i | ||||
\(433\) | 5.28277e7 | 0.650726 | 0.325363 | − | 0.945589i | \(-0.394514\pi\) | ||||
0.325363 | + | 0.945589i | \(0.394514\pi\) | |||||||
\(434\) | 1.58085e7 | + | 2.33599e7i | 0.193384 | + | 0.285760i | ||||
\(435\) | −4.74020e7 | + | 5.64982e7i | −0.575876 | + | 0.686384i | ||||
\(436\) | 2.42324e7 | + | 5.66056e7i | 0.292372 | + | 0.682967i | ||||
\(437\) | −1.90511e7 | + | 1.90511e7i | −0.228284 | + | 0.228284i | ||||
\(438\) | 7.85837e7 | + | 8.13325e6i | 0.935213 | + | 0.0967926i | ||||
\(439\) | − | 3.37695e6i | − | 0.0399146i | −0.999801 | − | 0.0199573i | \(-0.993647\pi\) | ||
0.999801 | − | 0.0199573i | \(-0.00635302\pi\) | |||||||
\(440\) | −8.00494e7 | + | 1.73995e7i | −0.939724 | + | 0.204258i | ||||
\(441\) | −2.68801e6 | − | 1.52340e7i | −0.0313412 | − | 0.177623i | ||||
\(442\) | −9.68994e7 | − | 1.86815e7i | −1.12216 | − | 0.216344i | ||||
\(443\) | 3.55956e7 | − | 3.55956e7i | 0.409435 | − | 0.409435i | −0.472106 | − | 0.881542i | \(-0.656506\pi\) |
0.881542 | + | 0.472106i | \(0.156506\pi\) | |||||||
\(444\) | −6.64698e6 | + | 2.19863e7i | −0.0759408 | + | 0.251191i | ||||
\(445\) | 2.25120e7 | − | 2.25120e7i | 0.255467 | − | 0.255467i | ||||
\(446\) | −5.08279e7 | + | 3.43972e7i | −0.572925 | + | 0.387720i | ||||
\(447\) | −1.02720e7 | − | 1.17330e8i | −0.115009 | − | 1.31367i | ||||
\(448\) | 3.37913e7 | + | 7.40588e7i | 0.375812 | + | 0.823650i | ||||
\(449\) | − | 1.40962e7i | − | 0.155726i | −0.996964 | − | 0.0778631i | \(-0.975190\pi\) | ||
0.996964 | − | 0.0778631i | \(-0.0248097\pi\) | |||||||
\(450\) | −1.46214e7 | + | 1.41663e7i | −0.160454 | + | 0.155460i | ||||
\(451\) | 8.38642e7 | − | 8.38642e7i | 0.914213 | − | 0.914213i | ||||
\(452\) | 8.21365e6 | + | 3.28932e6i | 0.0889448 | + | 0.0356198i | ||||
\(453\) | −7.72740e7 | − | 6.48329e7i | −0.831264 | − | 0.697430i | ||||
\(454\) | 3.36675e7 | + | 6.49085e6i | 0.359785 | + | 0.0693640i | ||||
\(455\) | 6.87939e7 | 0.730324 | ||||||||
\(456\) | 1.18532e8 | − | 3.68425e7i | 1.25009 | − | 0.388557i | ||||
\(457\) | 1.53031e8i | 1.60336i | 0.597756 | + | 0.801678i | \(0.296059\pi\) | ||||
−0.597756 | + | 0.801678i | \(0.703941\pi\) | |||||||
\(458\) | 6.19271e7 | + | 1.19391e7i | 0.644591 | + | 0.124272i | ||||
\(459\) | −6.03453e7 | + | 1.04564e8i | −0.624030 | + | 1.08129i | ||||
\(460\) | 8.32505e6 | + | 1.94469e7i | 0.0855290 | + | 0.199791i | ||||
\(461\) | 1.00667e8 | + | 1.00667e8i | 1.02751 | + | 1.02751i | 0.999611 | + | 0.0278951i | \(0.00888042\pi\) |
0.0278951 | + | 0.999611i | \(0.491120\pi\) | |||||||
\(462\) | −7.56150e7 | + | 6.14310e7i | −0.766800 | + | 0.622962i | ||||
\(463\) | −2.24428e7 | −0.226117 | −0.113059 | − | 0.993588i | \(-0.536065\pi\) | ||||
−0.113059 | + | 0.993588i | \(0.536065\pi\) | |||||||
\(464\) | 2.39415e6 | + | 1.01538e8i | 0.0239661 | + | 1.01643i | ||||
\(465\) | −2.94515e6 | − | 3.36405e7i | −0.0292920 | − | 0.334582i | ||||
\(466\) | 1.53255e8 | − | 1.03713e8i | 1.51446 | − | 1.02489i | ||||
\(467\) | −1.02611e8 | − | 1.02611e8i | −1.00749 | − | 1.00749i | −0.999972 | − | 0.00752324i | \(-0.997605\pi\) |
−0.00752324 | − | 0.999972i | \(-0.502395\pi\) | |||||||
\(468\) | 7.85308e7 | − | 5.13541e7i | 0.766130 | − | 0.501000i | ||||
\(469\) | 1.09550e8 | + | 1.09550e8i | 1.06192 | + | 1.06192i | ||||
\(470\) | 3.39544e7 | + | 6.54615e6i | 0.327041 | + | 0.0630511i | ||||
\(471\) | −4.35920e6 | − | 4.97922e7i | −0.0417200 | − | 0.476539i | ||||
\(472\) | −8.54311e7 | − | 5.49236e7i | −0.812437 | − | 0.522316i | ||||
\(473\) | −1.35786e8 | −1.28313 | ||||||||
\(474\) | −1.04389e7 | + | 1.00861e8i | −0.0980215 | + | 0.947087i | ||||
\(475\) | 2.21637e7 | + | 2.21637e7i | 0.206805 | + | 0.206805i | ||||
\(476\) | −4.53179e7 | + | 1.13162e8i | −0.420193 | + | 1.04925i | ||||
\(477\) | −1.68374e8 | − | 1.17867e8i | −1.55138 | − | 1.08602i | ||||
\(478\) | 3.63578e7 | + | 5.37251e7i | 0.332900 | + | 0.491919i | ||||
\(479\) | − | 3.89026e7i | − | 0.353975i | −0.984213 | − | 0.176987i | \(-0.943365\pi\) | ||
0.984213 | − | 0.176987i | \(-0.0566351\pi\) | |||||||
\(480\) | 7.74525e6 | − | 9.71500e7i | 0.0700344 | − | 0.878455i | ||||
\(481\) | 2.67326e7 | 0.240219 | ||||||||
\(482\) | −3.71211e7 | + | 2.51213e7i | −0.331497 | + | 0.224337i | ||||
\(483\) | 1.92730e7 | + | 1.61700e7i | 0.171044 | + | 0.143506i | ||||
\(484\) | −2.00881e7 | − | 8.04467e6i | −0.177175 | − | 0.0709532i | ||||
\(485\) | 2.77859e7 | − | 2.77859e7i | 0.243556 | − | 0.243556i | ||||
\(486\) | −2.79736e7 | − | 1.11331e8i | −0.243691 | − | 0.969853i | ||||
\(487\) | − | 1.47719e8i | − | 1.27894i | −0.768816 | − | 0.639470i | \(-0.779154\pi\) | ||
0.768816 | − | 0.639470i | \(-0.220846\pi\) | |||||||
\(488\) | 1.70429e8 | + | 1.09569e8i | 1.46651 | + | 0.942816i | ||||
\(489\) | 196852. | + | 2.24850e6i | 0.00168350 | + | 0.0192295i | ||||
\(490\) | −3.54001e6 | + | 1.83618e7i | −0.0300896 | + | 0.156072i | ||||
\(491\) | 1.15929e8 | − | 1.15929e8i | 0.979371 | − | 0.979371i | −0.0204209 | − | 0.999791i | \(-0.506501\pi\) |
0.999791 | + | 0.0204209i | \(0.00650064\pi\) | |||||||
\(492\) | 6.66309e7 | + | 1.24377e8i | 0.559475 | + | 1.04435i | ||||
\(493\) | −1.07545e8 | + | 1.07545e8i | −0.897532 | + | 0.897532i | ||||
\(494\) | −8.09665e7 | − | 1.19642e8i | −0.671622 | − | 0.992441i | ||||
\(495\) | 1.14864e8 | − | 2.02675e7i | 0.947037 | − | 0.167103i | ||||
\(496\) | −3.36509e7 | − | 3.21005e7i | −0.275773 | − | 0.263068i | ||||
\(497\) | − | 1.09664e8i | − | 0.893295i | ||||||
\(498\) | −1.59286e8 | + | 1.29407e8i | −1.28970 | + | 1.04778i | ||||
\(499\) | 1.07143e6 | − | 1.07143e6i | 0.00862307 | − | 0.00862307i | −0.702782 | − | 0.711405i | \(-0.748059\pi\) |
0.711405 | + | 0.702782i | \(0.248059\pi\) | |||||||
\(500\) | 1.23890e8 | − | 5.30364e7i | 0.991123 | − | 0.424291i | ||||
\(501\) | −3.96289e7 | + | 4.72335e7i | −0.315136 | + | 0.375610i | ||||
\(502\) | −1.49488e7 | + | 7.75384e7i | −0.118167 | + | 0.612923i | ||||
\(503\) | −1.42268e8 | −1.11790 | −0.558950 | − | 0.829201i | \(-0.688796\pi\) | ||||
−0.558950 | + | 0.829201i | \(0.688796\pi\) | |||||||
\(504\) | −4.39242e7 | − | 1.07259e8i | −0.343093 | − | 0.837807i | ||||
\(505\) | − | 1.12703e8i | − | 0.875110i | ||||||
\(506\) | −6.60037e6 | + | 3.42356e7i | −0.0509468 | + | 0.264257i | ||||
\(507\) | 1.61782e7 | + | 1.35735e7i | 0.124139 | + | 0.104152i | ||||
\(508\) | 8.78183e6 | − | 2.19288e7i | 0.0669875 | − | 0.167272i | ||||
\(509\) | 4.19418e7 | + | 4.19418e7i | 0.318049 | + | 0.318049i | 0.848017 | − | 0.529969i | \(-0.177796\pi\) |
−0.529969 | + | 0.848017i | \(0.677796\pi\) | |||||||
\(510\) | 1.13270e8 | − | 9.20230e7i | 0.853899 | − | 0.693723i | ||||
\(511\) | −1.13579e8 | −0.851204 | ||||||||
\(512\) | −8.03792e7 | − | 1.07488e8i | −0.598871 | − | 0.800845i | ||||
\(513\) | −1.70704e8 | + | 4.57723e7i | −1.26442 | + | 0.339040i | ||||
\(514\) | 4.71078e7 | + | 6.96101e7i | 0.346899 | + | 0.512605i | ||||
\(515\) | 6.84187e7 | + | 6.84187e7i | 0.500903 | + | 0.500903i | ||||
\(516\) | 4.67487e7 | − | 1.54632e8i | 0.340267 | − | 1.12551i | ||||
\(517\) | 4.03012e7 | + | 4.03012e7i | 0.291639 | + | 0.291639i | ||||
\(518\) | 6.25116e6 | − | 3.24243e7i | 0.0449750 | − | 0.233282i | ||||
\(519\) | −1.32190e8 | + | 1.15729e7i | −0.945575 | + | 0.0827831i | ||||
\(520\) | −1.10839e8 | + | 2.40919e7i | −0.788282 | + | 0.171341i | ||||
\(521\) | −2.07003e8 | −1.46374 | −0.731870 | − | 0.681444i | \(-0.761352\pi\) | ||||
−0.731870 | + | 0.681444i | \(0.761352\pi\) | |||||||
\(522\) | 2.28559e6 | − | 1.44595e8i | 0.0160689 | − | 1.01658i | ||||
\(523\) | 9.02749e6 | + | 9.02749e6i | 0.0631047 | + | 0.0631047i | 0.737955 | − | 0.674850i | \(-0.235792\pi\) |
−0.674850 | + | 0.737955i | \(0.735792\pi\) | |||||||
\(524\) | 1.71067e8 | − | 7.32324e7i | 1.18897 | − | 0.508990i | ||||
\(525\) | 1.88119e7 | − | 2.24218e7i | 0.130004 | − | 0.154951i | ||||
\(526\) | 2.27878e8 | − | 1.54213e8i | 1.56583 | − | 1.05965i | ||||
\(527\) | − | 6.96412e7i | − | 0.475811i | ||||||
\(528\) | 1.00315e8 | − | 1.25457e8i | 0.681500 | − | 0.852298i | ||||
\(529\) | −1.39032e8 | −0.939180 | ||||||||
\(530\) | 1.39247e8 | + | 2.05763e8i | 0.935319 | + | 1.38210i | ||||
\(531\) | 1.18466e8 | + | 8.29301e7i | 0.791244 | + | 0.553897i | ||||
\(532\) | −1.64049e8 | + | 7.02279e7i | −1.08953 | + | 0.466417i | ||||
\(533\) | 1.16121e8 | − | 1.16121e8i | 0.766882 | − | 0.766882i | ||||
\(534\) | −6.42682e6 | + | 6.20961e7i | −0.0422058 | + | 0.407794i | ||||
\(535\) | − | 1.48435e8i | − | 0.969339i | ||||||
\(536\) | −2.14868e8 | − | 1.38139e8i | −1.39533 | − | 0.897058i | ||||
\(537\) | 1.10885e8 | − | 9.70776e6i | 0.716062 | − | 0.0626897i | ||||
\(538\) | −1.63758e7 | − | 3.15714e6i | −0.105161 | − | 0.0202743i | ||||
\(539\) | −2.17940e7 | + | 2.17940e7i | −0.139178 | + | 0.139178i | ||||
\(540\) | −1.64652e7 | + | 1.37784e8i | −0.104565 | + | 0.875016i | ||||
\(541\) | 1.36157e8 | − | 1.36157e8i | 0.859900 | − | 0.859900i | −0.131426 | − | 0.991326i | \(-0.541956\pi\) |
0.991326 | + | 0.131426i | \(0.0419556\pi\) | |||||||
\(542\) | 1.72502e7 | − | 1.16739e7i | 0.108342 | − | 0.0733191i | ||||
\(543\) | 2.22925e8 | − | 1.95166e7i | 1.39238 | − | 0.121900i | ||||
\(544\) | 3.33853e7 | − | 1.98193e8i | 0.207376 | − | 1.23110i | ||||
\(545\) | 1.05980e8i | 0.654690i | ||||||||
\(546\) | −1.04699e8 | + | 8.50592e7i | −0.643226 | + | 0.522568i | ||||
\(547\) | −3.49263e7 | + | 3.49263e7i | −0.213398 | + | 0.213398i | −0.805709 | − | 0.592311i | \(-0.798216\pi\) |
0.592311 | + | 0.805709i | \(0.298216\pi\) | |||||||
\(548\) | −7.66485e7 | + | 1.91396e8i | −0.465760 | + | 1.16303i | ||||
\(549\) | −2.36331e8 | − | 1.65440e8i | −1.42825 | − | 0.999821i | ||||
\(550\) | 3.98291e7 | + | 7.67876e6i | 0.239394 | + | 0.0461533i | ||||
\(551\) | −2.22649e8 | −1.33096 | ||||||||
\(552\) | −3.67149e7 | − | 1.93032e7i | −0.218285 | − | 0.114766i | ||||
\(553\) | − | 1.45777e8i | − | 0.862012i | ||||||
\(554\) | 2.45712e8 | + | 4.73714e7i | 1.44510 | + | 0.278604i | ||||
\(555\) | −2.54101e7 | + | 3.02862e7i | −0.148637 | + | 0.177160i | ||||
\(556\) | −1.06385e8 | + | 4.55426e7i | −0.618952 | + | 0.264968i | ||||
\(557\) | 6.40563e7 | + | 6.40563e7i | 0.370678 | + | 0.370678i | 0.867724 | − | 0.497046i | \(-0.165582\pi\) |
−0.497046 | + | 0.867724i | \(0.665582\pi\) | |||||||
\(558\) | 4.60765e7 | + | 4.75566e7i | 0.265202 | + | 0.273721i | ||||
\(559\) | −1.88013e8 | −1.07635 | ||||||||
\(560\) | 3.30271e6 | + | 1.40071e8i | 0.0188064 | + | 0.797598i | ||||
\(561\) | 2.39623e8 | − | 2.09785e7i | 1.35719 | − | 0.118819i | ||||
\(562\) | −2.23670e7 | + | 1.51366e7i | −0.126008 | + | 0.0852744i | ||||
\(563\) | 1.63635e8 | + | 1.63635e8i | 0.916963 | + | 0.916963i | 0.996807 | − | 0.0798445i | \(-0.0254424\pi\) |
−0.0798445 | + | 0.996807i | \(0.525442\pi\) | |||||||
\(564\) | −5.97697e7 | + | 3.20197e7i | −0.333153 | + | 0.178476i | ||||
\(565\) | 1.07683e7 | + | 1.07683e7i | 0.0597036 | + | 0.0597036i | ||||
\(566\) | −3.08012e8 | − | 5.93825e7i | −1.69871 | − | 0.327498i | ||||
\(567\) | 5.64795e7 | + | 1.55063e8i | 0.309843 | + | 0.850665i | ||||
\(568\) | 3.84047e7 | + | 1.76688e8i | 0.209575 | + | 0.964187i | ||||
\(569\) | −2.26122e8 | −1.22745 | −0.613727 | − | 0.789518i | \(-0.710330\pi\) | ||||
−0.613727 | + | 0.789518i | \(0.710330\pi\) | |||||||
\(570\) | 2.12508e8 | + | 2.19941e7i | 1.14749 | + | 0.118763i | ||||
\(571\) | −7.51046e7 | − | 7.51046e7i | −0.403421 | − | 0.403421i | 0.476016 | − | 0.879437i | \(-0.342080\pi\) |
−0.879437 | + | 0.476016i | \(0.842080\pi\) | |||||||
\(572\) | −1.73552e8 | − | 6.95023e7i | −0.927343 | − | 0.371374i | ||||
\(573\) | 7.05132e7 | + | 5.91605e7i | 0.374806 | + | 0.314462i | ||||
\(574\) | −1.13690e8 | − | 1.67998e8i | −0.601157 | − | 0.888317i | ||||
\(575\) | − | 1.04745e7i | − | 0.0550973i | ||||||
\(576\) | 1.08332e8 | + | 1.57431e8i | 0.566878 | + | 0.823802i | ||||
\(577\) | 1.40140e8 | 0.729513 | 0.364757 | − | 0.931103i | \(-0.381152\pi\) | ||||
0.364757 | + | 0.931103i | \(0.381152\pi\) | |||||||
\(578\) | 8.93337e7 | − | 6.04554e7i | 0.462628 | − | 0.313077i | ||||
\(579\) | −1.06122e8 | + | 1.26486e8i | −0.546725 | + | 0.651639i | ||||
\(580\) | −6.49900e7 | + | 1.62284e8i | −0.333091 | + | 0.831749i | ||||
\(581\) | 2.08626e8 | − | 2.08626e8i | 1.06375 | − | 1.06375i | ||||
\(582\) | −7.93242e6 | + | 7.66432e7i | −0.0402380 | + | 0.388781i | ||||
\(583\) | 4.09500e8i | 2.06656i | ||||||||
\(584\) | 1.82995e8 | − | 3.97756e7i | 0.918755 | − | 0.199700i | ||||
\(585\) | 1.59043e8 | − | 2.80629e7i | 0.794416 | − | 0.140173i | ||||
\(586\) | 7.06453e7 | − | 3.66432e8i | 0.351068 | − | 1.82096i | ||||
\(587\) | −8.78044e7 | + | 8.78044e7i | −0.434112 | + | 0.434112i | −0.890025 | − | 0.455913i | \(-0.849313\pi\) |
0.455913 | + | 0.890025i | \(0.349313\pi\) | |||||||
\(588\) | −1.73155e7 | − | 3.23221e7i | −0.0851732 | − | 0.158989i | ||||
\(589\) | 7.20884e7 | − | 7.20884e7i | 0.352793 | − | 0.352793i | ||||
\(590\) | −9.79731e7 | − | 1.44773e8i | −0.477035 | − | 0.704905i | ||||
\(591\) | −2.33790e7 | − | 2.67043e8i | −0.113257 | − | 1.29365i | ||||
\(592\) | 1.28340e6 | + | 5.44302e7i | 0.00618581 | + | 0.262346i | ||||
\(593\) | − | 8.83985e7i | − | 0.423917i | −0.977279 | − | 0.211959i | \(-0.932016\pi\) | ||
0.977279 | − | 0.211959i | \(-0.0679842\pi\) | |||||||
\(594\) | −1.49754e8 | + | 1.72867e8i | −0.714526 | + | 0.824807i | ||||
\(595\) | −1.48357e8 | + | 1.48357e8i | −0.704301 | + | 0.704301i | ||||
\(596\) | −1.09870e8 | − | 2.56651e8i | −0.518969 | − | 1.21229i | ||||
\(597\) | 9.13451e7 | + | 7.66385e7i | 0.429301 | + | 0.360184i | ||||
\(598\) | −9.13907e6 | + | 4.74036e7i | −0.0427365 | + | 0.221671i | ||||
\(599\) | −8.79846e7 | −0.409380 | −0.204690 | − | 0.978827i | \(-0.565619\pi\) | ||||
−0.204690 | + | 0.978827i | \(0.565619\pi\) | |||||||
\(600\) | −2.24570e7 | + | 4.27134e7i | −0.103968 | + | 0.197747i | ||||
\(601\) | 1.41134e8i | 0.650142i | 0.945690 | + | 0.325071i | \(0.105388\pi\) | ||||
−0.945690 | + | 0.325071i | \(0.894612\pi\) | |||||||
\(602\) | −4.39649e7 | + | 2.28042e8i | −0.201519 | + | 1.04526i | ||||
\(603\) | 2.97954e8 | + | 2.08578e8i | 1.35893 | + | 0.951296i | ||||
\(604\) | −2.21960e8 | − | 8.88885e7i | −1.00731 | − | 0.403399i | ||||
\(605\) | −2.63359e7 | − | 2.63359e7i | −0.118927 | − | 0.118927i | ||||
\(606\) | 1.39350e8 | + | 1.71525e8i | 0.626167 | + | 0.770744i | ||||
\(607\) | −5.90432e7 | −0.264000 | −0.132000 | − | 0.991250i | \(-0.542140\pi\) | ||||
−0.132000 | + | 0.991250i | \(0.542140\pi\) | |||||||
\(608\) | 2.39717e8 | − | 1.70600e8i | 1.06657 | − | 0.759045i | ||||
\(609\) | 1.81320e7 | + | 2.07110e8i | 0.0802775 | + | 0.916956i | ||||
\(610\) | 1.95449e8 | + | 2.88811e8i | 0.861082 | + | 1.27240i | ||||
\(611\) | 5.58022e7 | + | 5.58022e7i | 0.244640 | + | 0.244640i | ||||
\(612\) | −5.86080e7 | + | 2.80103e8i | −0.255683 | + | 1.22198i | ||||
\(613\) | −1.57380e8 | − | 1.57380e8i | −0.683234 | − | 0.683234i | 0.277494 | − | 0.960727i | \(-0.410496\pi\) |
−0.960727 | + | 0.277494i | \(0.910496\pi\) | |||||||
\(614\) | 7.53751e7 | − | 3.90964e8i | 0.325629 | − | 1.68901i | ||||
\(615\) | 2.11807e7 | + | 2.41933e8i | 0.0910575 | + | 1.04009i | ||||
\(616\) | −1.24883e8 | + | 1.94250e8i | −0.534272 | + | 0.831034i | ||||
\(617\) | 1.38269e7 | 0.0588669 | 0.0294334 | − | 0.999567i | \(-0.490630\pi\) | ||||
0.0294334 | + | 0.999567i | \(0.490630\pi\) | |||||||
\(618\) | −1.88723e8 | − | 1.95324e7i | −0.799576 | − | 0.0827544i | ||||
\(619\) | −1.34517e7 | − | 1.34517e7i | −0.0567159 | − | 0.0567159i | 0.678180 | − | 0.734896i | \(-0.262769\pi\) |
−0.734896 | + | 0.678180i | \(0.762769\pi\) | |||||||
\(620\) | −3.15016e7 | − | 7.35861e7i | −0.132177 | − | 0.308760i | ||||
\(621\) | 5.11531e7 | + | 2.95212e7i | 0.213598 | + | 0.123271i | ||||
\(622\) | 7.47752e7 | − | 5.06032e7i | 0.310732 | − | 0.210284i | ||||
\(623\) | − | 8.97487e7i | − | 0.371163i | ||||||
\(624\) | 1.38900e8 | − | 1.73711e8i | 0.571672 | − | 0.714946i | ||||
\(625\) | 1.77411e8 | 0.726674 | ||||||||
\(626\) | −7.82483e7 | − | 1.15626e8i | −0.318971 | − | 0.471337i | ||||
\(627\) | 2.69759e8 | + | 2.26328e8i | 1.09439 | + | 0.918195i | ||||
\(628\) | −4.66264e7 | − | 1.08917e8i | −0.188258 | − | 0.439760i | ||||
\(629\) | −5.76502e7 | + | 5.76502e7i | −0.231659 | + | 0.231659i | ||||
\(630\) | 3.15295e6 | − | 1.99468e8i | 0.0126094 | − | 0.797720i | ||||
\(631\) | − | 1.19101e7i | − | 0.0474053i | −0.999719 | − | 0.0237026i | \(-0.992455\pi\) | ||
0.999719 | − | 0.0237026i | \(-0.00754549\pi\) | |||||||
\(632\) | 5.10516e7 | + | 2.34872e8i | 0.202236 | + | 0.930420i | ||||
\(633\) | −2.91200e7 | − | 3.32618e8i | −0.114810 | − | 1.31140i | ||||
\(634\) | −1.63944e8 | − | 3.16071e7i | −0.643320 | − | 0.124027i | ||||
\(635\) | 2.87491e7 | − | 2.87491e7i | 0.112280 | − | 0.112280i | ||||
\(636\) | −4.66336e8 | − | 1.40984e8i | −1.81271 | − | 0.548023i | ||||
\(637\) | −3.01765e7 | + | 3.01765e7i | −0.116748 | + | 0.116748i | ||||
\(638\) | −2.38623e8 | + | 1.61485e8i | −0.918863 | + | 0.621829i | ||||
\(639\) | −4.47350e7 | − | 2.53531e8i | −0.171453 | − | 0.971690i | ||||
\(640\) | −5.43746e7 | − | 2.24522e8i | −0.207423 | − | 0.856483i | ||||
\(641\) | 2.81769e8i | 1.06984i | 0.844902 | + | 0.534921i | \(0.179659\pi\) | ||||
−0.844902 | + | 0.534921i | \(0.820341\pi\) | |||||||
\(642\) | 1.83530e8 | + | 2.25906e8i | 0.693590 | + | 0.853735i | ||||
\(643\) | 3.91150e7 | − | 3.91150e7i | 0.147133 | − | 0.147133i | −0.629703 | − | 0.776836i | \(-0.716823\pi\) |
0.776836 | + | 0.629703i | \(0.216823\pi\) | |||||||
\(644\) | 5.53592e7 | + | 2.21697e7i | 0.207268 | + | 0.0830047i | ||||
\(645\) | 1.78711e8 | − | 2.13005e8i | 0.665998 | − | 0.793801i | ||||
\(646\) | 4.32623e8 | + | 8.34066e7i | 1.60477 | + | 0.309388i | ||||
\(647\) | 2.11543e8 | 0.781064 | 0.390532 | − | 0.920589i | \(-0.372291\pi\) | ||||
0.390532 | + | 0.920589i | \(0.372291\pi\) | |||||||
\(648\) | −1.45302e8 | − | 2.30053e8i | −0.534006 | − | 0.845481i | ||||
\(649\) | − | 2.88120e8i | − | 1.05400i | ||||||
\(650\) | 5.51485e7 | + | 1.06322e7i | 0.200814 | + | 0.0387155i | ||||
\(651\) | −7.29280e7 | − | 6.11865e7i | −0.264333 | − | 0.221775i | ||||
\(652\) | 2.10554e6 | + | 4.91844e6i | 0.00759663 | + | 0.0177453i | ||||
\(653\) | 1.91048e8 | + | 1.91048e8i | 0.686124 | + | 0.686124i | 0.961373 | − | 0.275249i | \(-0.0887603\pi\) |
−0.275249 | + | 0.961373i | \(0.588760\pi\) | |||||||
\(654\) | −1.31038e8 | − | 1.61293e8i | −0.468450 | − | 0.576611i | ||||
\(655\) | 3.20282e8 | 1.13975 | ||||||||
\(656\) | 2.42008e8 | + | 2.30859e8i | 0.857272 | + | 0.817776i | ||||
\(657\) | −2.62581e8 | + | 4.63318e7i | −0.925905 | + | 0.163374i | ||||
\(658\) | 8.07318e7 | − | 5.46342e7i | 0.283378 | − | 0.191773i | ||||
\(659\) | −8.63327e7 | − | 8.63327e7i | −0.301661 | − | 0.301661i | 0.540003 | − | 0.841663i | \(-0.318423\pi\) |
−0.841663 | + | 0.540003i | \(0.818423\pi\) | |||||||
\(660\) | 2.43707e8 | − | 1.30558e8i | 0.847688 | − | 0.454121i | ||||
\(661\) | 7.97831e7 | + | 7.97831e7i | 0.276253 | + | 0.276253i | 0.831611 | − | 0.555358i | \(-0.187419\pi\) |
−0.555358 | + | 0.831611i | \(0.687419\pi\) | |||||||
\(662\) | −1.01351e7 | − | 1.95397e6i | −0.0349345 | − | 0.00673511i | ||||
\(663\) | 3.31789e8 | − | 2.90474e7i | 1.13847 | − | 0.0996705i | ||||
\(664\) | −2.63071e8 | + | 4.09194e8i | −0.898604 | + | 1.39774i | ||||
\(665\) | −3.07142e8 | −1.04442 | ||||||||
\(666\) | 1.22521e6 | − | 7.75112e7i | 0.00414750 | − | 0.262387i | ||||
\(667\) | 5.26115e7 | + | 5.26115e7i | 0.177298 | + | 0.177298i | ||||
\(668\) | −5.43328e7 | + | 1.35672e8i | −0.182277 | + | 0.455158i | ||||
\(669\) | 1.33134e8 | − | 1.58681e8i | 0.444641 | − | 0.529966i | ||||
\(670\) | −2.46412e8 | − | 3.64118e8i | −0.819290 | − | 1.21065i | ||||
\(671\) | 5.74779e8i | 1.90254i | ||||||||
\(672\) | −1.78215e8 | − | 2.09093e8i | −0.587269 | − | 0.689020i | ||||
\(673\) | −3.42984e8 | −1.12520 | −0.562598 | − | 0.826730i | \(-0.690198\pi\) | ||||
−0.562598 | + | 0.826730i | \(0.690198\pi\) | |||||||
\(674\) | 1.93447e8 | − | 1.30913e8i | 0.631803 | − | 0.427565i | ||||
\(675\) | 3.43445e7 | − | 5.95106e7i | 0.111672 | − | 0.193501i | ||||
\(676\) | 4.64700e7 | + | 1.86099e7i | 0.150429 | + | 0.0602425i | ||||
\(677\) | 1.34358e8 | − | 1.34358e8i | 0.433010 | − | 0.433010i | −0.456641 | − | 0.889651i | \(-0.650948\pi\) |
0.889651 | + | 0.456641i | \(0.150948\pi\) | |||||||
\(678\) | −2.97027e7 | − | 3.07417e6i | −0.0953030 | − | 0.00986366i | ||||
\(679\) | − | 1.10774e8i | − | 0.353858i | ||||||
\(680\) | 1.87074e8 | − | 2.90985e8i | 0.594958 | − | 0.925429i | ||||
\(681\) | −1.15279e8 | + | 1.00925e7i | −0.365015 | + | 0.0319563i | ||||
\(682\) | 2.49755e7 | − | 1.29546e8i | 0.0787337 | − | 0.408386i | ||||
\(683\) | −1.06305e8 | + | 1.06305e8i | −0.333651 | + | 0.333651i | −0.853971 | − | 0.520320i | \(-0.825813\pi\) |
0.520320 | + | 0.853971i | \(0.325813\pi\) | |||||||
\(684\) | −3.50614e8 | + | 2.29279e8i | −1.09562 | + | 0.716466i | ||||
\(685\) | −2.50924e8 | + | 2.50924e8i | −0.780677 | + | 0.780677i | ||||
\(686\) | 1.93350e8 | + | 2.85709e8i | 0.598924 | + | 0.885018i | ||||
\(687\) | −2.12042e8 | + | 1.85638e7i | −0.653960 | + | 0.0572528i | ||||
\(688\) | −9.02624e6 | − | 3.82812e8i | −0.0277167 | − | 1.17549i | ||||
\(689\) | 5.67006e8i | 1.73352i | ||||||||
\(690\) | −4.50181e7 | − | 5.54124e7i | −0.137038 | − | 0.168679i | ||||
\(691\) | 4.39787e7 | − | 4.39787e7i | 0.133293 | − | 0.133293i | −0.637312 | − | 0.770606i | \(-0.719954\pi\) |
0.770606 | + | 0.637312i | \(0.219954\pi\) | |||||||
\(692\) | −2.89156e8 | + | 1.23785e8i | −0.872597 | + | 0.373551i | ||||
\(693\) | 1.88563e8 | − | 2.69364e8i | 0.566575 | − | 0.809356i | ||||
\(694\) | −5.03880e7 | + | 2.61359e8i | −0.150747 | + | 0.781913i | ||||
\(695\) | −1.99181e8 | −0.593325 | ||||||||
\(696\) | −1.01744e8 | − | 3.27339e8i | −0.301774 | − | 0.970891i | ||||
\(697\) | 5.00841e8i | 1.47911i | ||||||||
\(698\) | 7.35640e6 | − | 3.81570e7i | 0.0216321 | − | 0.112204i | ||||
\(699\) | −4.01421e8 | + | 4.78452e8i | −1.17535 | + | 1.40090i | ||||
\(700\) | 2.57919e7 | − | 6.44040e7i | 0.0751950 | − | 0.187767i | ||||
\(701\) | −2.30678e8 | − | 2.30678e8i | −0.669657 | − | 0.669657i | 0.287980 | − | 0.957637i | \(-0.407016\pi\) |
−0.957637 | + | 0.287980i | \(0.907016\pi\) | |||||||
\(702\) | −2.07353e8 | + | 2.39356e8i | −0.599376 | + | 0.691885i | ||||
\(703\) | −1.19352e8 | −0.343530 | ||||||||
\(704\) | 1.33181e8 | − | 3.56705e8i | 0.381703 | − | 1.02233i | ||||
\(705\) | −1.16262e8 | + | 1.01785e7i | −0.331794 | + | 0.0290479i | ||||
\(706\) | 2.33104e6 | + | 3.44453e6i | 0.00662423 | + | 0.00978848i | ||||
\(707\) | −2.24657e8 | − | 2.24657e8i | −0.635715 | − | 0.635715i | ||||
\(708\) | 3.28109e8 | + | 9.91949e7i | 0.924524 | + | 0.279505i | ||||
\(709\) | 8.22692e6 | + | 8.22692e6i | 0.0230833 | + | 0.0230833i | 0.718554 | − | 0.695471i | \(-0.244804\pi\) |
−0.695471 | + | 0.718554i | \(0.744804\pi\) | |||||||
\(710\) | −5.89144e7 | + | 3.05584e8i | −0.164606 | + | 0.853799i | ||||
\(711\) | −5.94664e7 | − | 3.37019e8i | −0.165448 | − | 0.937661i | ||||
\(712\) | 3.14303e7 | + | 1.44601e8i | 0.0870781 | + | 0.400618i | ||||
\(713\) | −3.40688e7 | −0.0939913 | ||||||||
\(714\) | 4.23536e7 | − | 4.09222e8i | 0.116358 | − | 1.12425i | ||||
\(715\) | −2.27530e8 | − | 2.27530e8i | −0.622472 | − | 0.622472i | ||||
\(716\) | 2.42553e8 | − | 1.03835e8i | 0.660797 | − | 0.282882i | ||||
\(717\) | −1.67726e8 | − | 1.40722e8i | −0.455034 | − | 0.381773i | ||||
\(718\) | −5.30178e8 | + | 3.58791e8i | −1.43235 | + | 0.969323i | ||||
\(719\) | − | 1.76750e8i | − | 0.475525i | −0.971323 | − | 0.237762i | \(-0.923586\pi\) | ||
0.971323 | − | 0.237762i | \(-0.0764139\pi\) | |||||||
\(720\) | 6.47743e7 | + | 3.22481e8i | 0.173542 | + | 0.863985i | ||||
\(721\) | 2.72765e8 | 0.727751 | ||||||||
\(722\) | 1.50549e8 | + | 2.22463e8i | 0.400007 | + | 0.591081i | ||||
\(723\) | 9.72315e7 | − | 1.15890e8i | 0.257272 | − | 0.306641i | ||||
\(724\) | 4.87632e8 | − | 2.08751e8i | 1.28492 | − | 0.550064i | ||||
\(725\) | 6.12074e7 | − | 6.12074e7i | 0.160616 | − | 0.160616i | ||||
\(726\) | 7.26436e7 | + | 7.51846e6i | 0.189840 | + | 0.0196480i | ||||
\(727\) | − | 4.03065e8i | − | 1.04899i | −0.851413 | − | 0.524495i | \(-0.824254\pi\) | ||
0.851413 | − | 0.524495i | \(-0.175746\pi\) | |||||||
\(728\) | −1.72917e8 | + | 2.68964e8i | −0.448171 | + | 0.697108i | ||||
\(729\) | 1.93828e8 | + | 3.35448e8i | 0.500305 | + | 0.865849i | ||||
\(730\) | 3.16492e8 | + | 6.10174e7i | 0.813569 | + | 0.156850i | ||||
\(731\) | 4.05459e8 | − | 4.05459e8i | 1.03799 | − | 1.03799i | ||||
\(732\) | −6.54554e8 | − | 1.97887e8i | −1.66883 | − | 0.504526i | ||||
\(733\) | 4.11168e8 | − | 4.11168e8i | 1.04402 | − | 1.04402i | 0.0450300 | − | 0.998986i | \(-0.485662\pi\) |
0.998986 | − | 0.0450300i | \(-0.0143384\pi\) | |||||||
\(734\) | 5.72501e8 | − | 3.87433e8i | 1.44773 | − | 0.979734i | ||||
\(735\) | −5.50428e6 | − | 6.28716e7i | −0.0138624 | − | 0.158341i | ||||
\(736\) | −9.69571e7 | − | 1.63322e7i | −0.243190 | − | 0.0409650i | ||||
\(737\) | − | 7.24651e8i | − | 1.81020i | ||||||
\(738\) | −3.31370e8 | − | 3.42014e8i | −0.824412 | − | 0.850893i | ||||
\(739\) | −1.14783e8 | + | 1.14783e8i | −0.284409 | + | 0.284409i | −0.834865 | − | 0.550455i | \(-0.814454\pi\) |
0.550455 | + | 0.834865i | \(0.314454\pi\) | |||||||
\(740\) | −3.48383e7 | + | 8.69935e7i | −0.0859730 | + | 0.214680i | ||||
\(741\) | 3.73516e8 | + | 3.13380e8i | 0.918025 | + | 0.770223i | ||||
\(742\) | 6.87727e8 | + | 1.32589e8i | 1.68347 | + | 0.324560i | ||||
\(743\) | −2.26310e8 | −0.551744 | −0.275872 | − | 0.961194i | \(-0.588967\pi\) | ||||
−0.275872 | + | 0.961194i | \(0.588967\pi\) | |||||||
\(744\) | 1.38927e8 | + | 7.30424e7i | 0.337340 | + | 0.177360i | ||||
\(745\) | − | 4.80518e8i | − | 1.16209i | ||||||
\(746\) | 4.04774e8 | + | 7.80375e7i | 0.974981 | + | 0.187969i | ||||
\(747\) | 3.97215e8 | − | 5.67424e8i | 0.952936 | − | 1.36127i | ||||
\(748\) | 5.24158e8 | − | 2.24387e8i | 1.25244 | − | 0.536159i | ||||
\(749\) | −2.95884e8 | − | 2.95884e8i | −0.704166 | − | 0.704166i | ||||
\(750\) | −3.53016e8 | + | 2.86797e8i | −0.836779 | + | 0.679815i | ||||
\(751\) | 5.05620e8 | 1.19373 | 0.596863 | − | 0.802343i | \(-0.296414\pi\) | ||||
0.596863 | + | 0.802343i | \(0.296414\pi\) | |||||||
\(752\) | −1.10940e8 | + | 1.16298e8i | −0.260875 | + | 0.273475i | ||||
\(753\) | −2.32436e7 | − | 2.65496e8i | −0.0544400 | − | 0.621831i | ||||
\(754\) | −3.30405e8 | + | 2.23597e8i | −0.770783 | + | 0.521618i | ||||
\(755\) | −2.90994e8 | − | 2.90994e8i | −0.676151 | − | 0.676151i | ||||
\(756\) | 2.41830e8 | + | 3.07472e8i | 0.559687 | + | 0.711607i | ||||
\(757\) | −3.02200e7 | − | 3.02200e7i | −0.0696637 | − | 0.0696637i | 0.671416 | − | 0.741080i | \(-0.265686\pi\) |
−0.741080 | + | 0.671416i | \(0.765686\pi\) | |||||||
\(758\) | 1.01586e8 | + | 1.95849e7i | 0.233251 | + | 0.0449692i | ||||
\(759\) | −1.02628e7 | − | 1.17225e8i | −0.0234714 | − | 0.268098i | ||||
\(760\) | 4.94858e8 | − | 1.07562e8i | 1.12730 | − | 0.245029i | ||||
\(761\) | −1.46101e8 | −0.331513 | −0.165756 | − | 0.986167i | \(-0.553007\pi\) | ||||
−0.165756 | + | 0.986167i | \(0.553007\pi\) | |||||||
\(762\) | −8.20740e6 | + | 7.93001e7i | −0.0185499 | + | 0.179229i | ||||
\(763\) | 2.11256e8 | + | 2.11256e8i | 0.475593 | + | 0.475593i | ||||
\(764\) | 2.02540e8 | + | 8.11114e7i | 0.454184 | + | 0.181887i | ||||
\(765\) | −2.82466e8 | + | 4.03504e8i | −0.630931 | + | 0.901288i | ||||
\(766\) | −4.60672e8 | − | 6.80725e8i | −1.02496 | − | 1.51456i | ||||
\(767\) | − | 3.98939e8i | − | 0.884140i | ||||||
\(768\) | 3.60360e8 | + | 2.74473e8i | 0.795524 | + | 0.605922i | ||||
\(769\) | −3.00236e8 | −0.660213 | −0.330107 | − | 0.943944i | \(-0.607085\pi\) | ||||
−0.330107 | + | 0.943944i | \(0.607085\pi\) | |||||||
\(770\) | −3.29179e8 | + | 2.22767e8i | −0.721040 | + | 0.487955i | ||||
\(771\) | −2.17318e8 | − | 1.82330e8i | −0.474169 | − | 0.397828i | ||||
\(772\) | −1.45497e8 | + | 3.63316e8i | −0.316230 | + | 0.789646i | ||||
\(773\) | −5.62030e8 | + | 5.62030e8i | −1.21680 | + | 1.21680i | −0.248060 | + | 0.968745i | \(0.579793\pi\) |
−0.968745 | + | 0.248060i | \(0.920207\pi\) | |||||||
\(774\) | −8.61697e6 | + | 5.45142e8i | −0.0185837 | + | 1.17567i | ||||
\(775\) | 3.96350e7i | 0.0851479i | ||||||||
\(776\) | 3.87934e7 | + | 1.78476e8i | 0.0830182 | + | 0.381939i | ||||
\(777\) | 9.71978e6 | + | 1.11022e8i | 0.0207202 | + | 0.236672i | ||||
\(778\) | −1.23577e8 | + | 6.40984e8i | −0.262421 | + | 1.36116i | ||||
\(779\) | −5.18441e8 | + | 5.18441e8i | −1.09670 | + | 1.09670i | ||||
\(780\) | 3.37444e8 | − | 1.80774e8i | 0.711079 | − | 0.380937i | ||||
\(781\) | −3.62704e8 | + | 3.62704e8i | −0.761377 | + | 0.761377i | ||||
\(782\) | −8.25194e7 | − | 1.21937e8i | −0.172558 | − | 0.254986i | ||||
\(783\) | 1.26405e8 | + | 4.71417e8i | 0.263317 | + | 0.982019i | ||||
\(784\) | −6.28911e7 | − | 5.99936e7i | −0.130509 | − | 0.124496i | ||||
\(785\) | − | 2.03920e8i | − | 0.421553i | ||||||
\(786\) | −4.87443e8 | + | 3.96008e8i | −1.00382 | + | 0.815522i | ||||
\(787\) | 2.21139e8 | − | 2.21139e8i | 0.453671 | − | 0.453671i | −0.442900 | − | 0.896571i | \(-0.646050\pi\) |
0.896571 | + | 0.442900i | \(0.146050\pi\) | |||||||
\(788\) | −2.50064e8 | − | 5.84136e8i | −0.511060 | − | 1.19381i | ||||
\(789\) | −5.96880e8 | + | 7.11419e8i | −1.21522 | + | 1.44842i | ||||
\(790\) | −7.83151e7 | + | 4.06214e8i | −0.158842 | + | 0.823898i | ||||
\(791\) | 4.29299e7 | 0.0867421 | ||||||||
\(792\) | −2.09476e8 | + | 5.00027e8i | −0.421656 | + | 1.00651i | ||||
\(793\) | 7.95855e8i | 1.59593i | ||||||||
\(794\) | 7.24453e7 | − | 3.75768e8i | 0.144727 | − | 0.750686i | ||||
\(795\) | −6.42379e8 | − | 5.38955e8i | −1.27847 | − | 1.07263i | ||||
\(796\) | 2.62377e8 | + | 1.05074e8i | 0.520220 | + | 0.208333i | ||||
\(797\) | 2.76872e8 | + | 2.76872e8i | 0.546895 | + | 0.546895i | 0.925541 | − | 0.378647i | \(-0.123610\pi\) |
−0.378647 | + | 0.925541i | \(0.623610\pi\) | |||||||
\(798\) | 4.67445e8 | − | 3.79761e8i | 0.919859 | − | 0.747311i | ||||
\(799\) | −2.40680e8 | −0.471846 | ||||||||
\(800\) | −1.90007e7 | + | 1.12798e8i | −0.0371107 | + | 0.220309i | ||||
\(801\) | −3.66110e7 | − | 2.07489e8i | −0.0712383 | − | 0.403735i | ||||
\(802\) | −8.10006e7 | − | 1.19693e8i | −0.157024 | − | 0.232030i | ||||
\(803\) | 3.75651e8 | + | 3.75651e8i | 0.725501 | + | 0.725501i | ||||
\(804\) | 8.25227e8 | + | 2.49485e8i | 1.58784 | + | 0.480039i | ||||
\(805\) | 7.25771e7 | + | 7.25771e7i | 0.139127 | + | 0.139127i | ||||
\(806\) | 3.45818e7 | − | 1.79373e8i | 0.0660454 | − | 0.342572i | ||||
\(807\) | 5.60716e7 | − | 4.90895e6i | 0.106690 | − | 0.00934046i | ||||
\(808\) | 4.40637e8 | + | 2.83286e8i | 0.835309 | + | 0.537020i | ||||
\(809\) | 6.13120e8 | 1.15798 | 0.578988 | − | 0.815336i | \(-0.303448\pi\) | ||||
0.578988 | + | 0.815336i | \(0.303448\pi\) | |||||||
\(810\) | −7.40791e7 | − | 4.62432e8i | −0.139393 | − | 0.870148i | ||||
\(811\) | 5.50342e8 | + | 5.50342e8i | 1.03174 | + | 1.03174i | 0.999479 | + | 0.0322606i | \(0.0102706\pi\) |
0.0322606 | + | 0.999479i | \(0.489729\pi\) | |||||||
\(812\) | 1.93941e8 | + | 4.53037e8i | 0.362245 | + | 0.846186i | ||||
\(813\) | −4.51836e7 | + | 5.38541e7i | −0.0840831 | + | 0.100218i | ||||
\(814\) | −1.27916e8 | + | 8.65652e7i | −0.237165 | + | 0.160498i | ||||
\(815\) | 9.20858e6i | 0.0170106i | ||||||||
\(816\) | 7.50721e7 | + | 6.74160e8i | 0.138168 | + | 1.24077i | ||||
\(817\) | 8.39413e8 | 1.53925 | ||||||||
\(818\) | −3.79005e8 | − | 5.60048e8i | −0.692445 | − | 1.02321i | ||||
\(819\) | 2.61090e8 | − | 3.72969e8i | 0.475268 | − | 0.678923i | ||||
\(820\) | 2.26551e8 | + | 5.29211e8i | 0.410889 | + | 0.959815i | ||||
\(821\) | −2.13638e8 | + | 2.13638e8i | −0.386055 | + | 0.386055i | −0.873278 | − | 0.487223i | \(-0.838010\pi\) |
0.487223 | + | 0.873278i | \(0.338010\pi\) | |||||||
\(822\) | 7.16349e7 | − | 6.92138e8i | 0.128976 | − | 1.24617i | ||||
\(823\) | 6.57403e8i | 1.17932i | 0.807651 | + | 0.589661i | \(0.200739\pi\) | ||||
−0.807651 | + | 0.589661i | \(0.799261\pi\) | |||||||
\(824\) | −4.39471e8 | + | 9.55233e7i | −0.785505 | + | 0.170737i | ||||
\(825\) | −1.36377e8 | + | 1.19395e7i | −0.242873 | + | 0.0212630i | ||||
\(826\) | −4.83878e8 | − | 9.32880e7i | −0.858609 | − | 0.165533i | ||||
\(827\) | 1.81552e8 | − | 1.81552e8i | 0.320985 | − | 0.320985i | −0.528160 | − | 0.849145i | \(-0.677118\pi\) |
0.849145 | + | 0.528160i | \(0.177118\pi\) | |||||||
\(828\) | 1.37028e8 | + | 2.86713e7i | 0.241389 | + | 0.0505075i | ||||
\(829\) | 7.81081e7 | − | 7.81081e7i | 0.137098 | − | 0.137098i | −0.635227 | − | 0.772325i | \(-0.719093\pi\) |
0.772325 | + | 0.635227i | \(0.219093\pi\) | |||||||
\(830\) | −6.93426e8 | + | 4.69267e8i | −1.21273 | + | 0.820703i | ||||
\(831\) | −8.41330e8 | + | 7.36566e7i | −1.46610 | + | 0.128354i | ||||
\(832\) | 1.84407e8 | − | 4.93904e8i | 0.320189 | − | 0.857575i | ||||
\(833\) | − | 1.30154e8i | − | 0.225177i | ||||||
\(834\) | 3.03137e8 | − | 2.46274e8i | 0.522565 | − | 0.424542i | ||||
\(835\) | −1.77869e8 | + | 1.77869e8i | −0.305521 | + | 0.305521i | ||||
\(836\) | 7.74849e8 | + | 3.10304e8i | 1.32617 | + | 0.531091i | ||||
\(837\) | −1.93561e8 | − | 1.11707e8i | −0.330096 | − | 0.190504i | ||||
\(838\) | −5.41303e8 | − | 1.04359e8i | −0.919832 | − | 0.177337i | ||||
\(839\) | 4.70764e8 | 0.797109 | 0.398554 | − | 0.917145i | \(-0.369512\pi\) | ||||
0.398554 | + | 0.917145i | \(0.369512\pi\) | |||||||
\(840\) | −1.40355e8 | − | 4.51561e8i | −0.236805 | − | 0.761866i | ||||
\(841\) | 2.00434e7i | 0.0336965i | ||||||||
\(842\) | −7.07617e8 | − | 1.36423e8i | −1.18539 | − | 0.228535i | ||||
\(843\) | 5.85859e7 | − | 6.98283e7i | 0.0977936 | − | 0.116560i | ||||
\(844\) | −3.11470e8 | − | 7.27578e8i | −0.518070 | − | 1.21019i | ||||
\(845\) | 6.09232e7 | + | 6.09232e7i | 0.100975 | + | 0.100975i | ||||
\(846\) | 1.64356e8 | − | 1.59241e8i | 0.271440 | − | 0.262992i | ||||
\(847\) | −1.04993e8 | −0.172787 | ||||||||
\(848\) | −1.15448e9 | + | 2.72212e7i | −1.89321 | + | 0.0446396i | ||||
\(849\) | 1.05465e9 | − | 9.23324e7i | 1.72340 | − | 0.150880i | ||||
\(850\) | −1.41859e8 | + | 9.60016e7i | −0.230994 | + | 0.156323i | ||||
\(851\) | 2.82027e7 | + | 2.82027e7i | 0.0457618 | + | 0.0457618i | ||||
\(852\) | −2.88172e8 | − | 5.37918e8i | −0.465943 | − | 0.869755i | ||||
\(853\) | 5.14265e7 | + | 5.14265e7i | 0.0828590 | + | 0.0828590i | 0.747322 | − | 0.664463i | \(-0.231339\pi\) |
−0.664463 | + | 0.747322i | \(0.731339\pi\) | |||||||
\(854\) | 9.65301e8 | + | 1.86103e8i | 1.54985 | + | 0.298799i | ||||
\(855\) | −7.10076e8 | + | 1.25292e8i | −1.13607 | + | 0.200458i | ||||
\(856\) | 5.80339e8 | + | 3.73100e8i | 0.925252 | + | 0.594845i | ||||
\(857\) | 9.46343e8 | 1.50351 | 0.751755 | − | 0.659443i | \(-0.229208\pi\) | ||||
0.751755 | + | 0.659443i | \(0.229208\pi\) | |||||||
\(858\) | 6.27608e8 | + | 6.49561e7i | 0.993634 | + | 0.102839i | ||||
\(859\) | −6.35758e8 | − | 6.35758e8i | −1.00303 | − | 1.00303i | −0.999995 | − | 0.00303137i | \(-0.999035\pi\) |
−0.00303137 | − | 0.999995i | \(-0.500965\pi\) | |||||||
\(860\) | 2.45020e8 | − | 6.11832e8i | 0.385218 | − | 0.961915i | ||||
\(861\) | 5.24478e8 | + | 4.40037e8i | 0.821709 | + | 0.689414i | ||||
\(862\) | −2.88078e8 | − | 4.25687e8i | −0.449768 | − | 0.664612i | ||||
\(863\) | − | 2.56659e7i | − | 0.0399322i | −0.999801 | − | 0.0199661i | \(-0.993644\pi\) | ||
0.999801 | − | 0.0199661i | \(-0.00635583\pi\) | |||||||
\(864\) | −4.97308e8 | − | 4.10700e8i | −0.771052 | − | 0.636772i | ||||
\(865\) | −5.41374e8 | −0.836468 | ||||||||
\(866\) | −3.50007e8 | + | 2.36863e8i | −0.538919 | + | 0.364706i | ||||
\(867\) | −2.33992e8 | + | 2.78894e8i | −0.359041 | + | 0.427939i | ||||
\(868\) | −2.09477e8 | − | 8.38892e7i | −0.320314 | − | 0.128276i | ||||
\(869\) | −4.82144e8 | + | 4.82144e8i | −0.734713 | + | 0.734713i | ||||
\(870\) | 6.07390e7 | − | 5.86862e8i | 0.0922379 | − | 0.891206i | ||||
\(871\) | − | 1.00337e9i | − | 1.51848i | ||||||
\(872\) | −4.14352e8 | − | 2.66387e8i | −0.624914 | − | 0.401757i | ||||
\(873\) | −4.51878e7 | − | 2.56097e8i | −0.0679169 | − | 0.384912i | ||||
\(874\) | 4.08029e7 | − | 2.11641e8i | 0.0611162 | − | 0.317005i | ||||
\(875\) | 4.62367e8 | − | 4.62367e8i | 0.690181 | − | 0.690181i | ||||
\(876\) | −5.57119e8 | + | 2.98458e8i | −0.828774 | + | 0.443988i | ||||
\(877\) | −6.11052e7 | + | 6.11052e7i | −0.0905898 | + | 0.0905898i | −0.750949 | − | 0.660360i | \(-0.770404\pi\) |
0.660360 | + | 0.750949i | \(0.270404\pi\) | |||||||
\(878\) | 1.51412e7 | + | 2.23738e7i | 0.0223706 | + | 0.0330565i | ||||
\(879\) | 1.09845e8 | + | 1.25468e9i | 0.161738 | + | 1.84743i | ||||
\(880\) | 4.52349e8 | − | 4.74196e8i | 0.663783 | − | 0.695841i | ||||
\(881\) | − | 3.34838e8i | − | 0.489674i | −0.969564 | − | 0.244837i | \(-0.921266\pi\) | ||
0.969564 | − | 0.244837i | \(-0.0787344\pi\) | |||||||
\(882\) | 8.61137e7 | + | 8.88798e7i | 0.125507 | + | 0.129538i | ||||
\(883\) | 4.79823e8 | − | 4.79823e8i | 0.696945 | − | 0.696945i | −0.266805 | − | 0.963751i | \(-0.585968\pi\) |
0.963751 | + | 0.266805i | \(0.0859680\pi\) | |||||||
\(884\) | 7.25764e8 | − | 3.10693e8i | 1.05060 | − | 0.449754i | ||||
\(885\) | 4.51971e8 | + | 3.79203e8i | 0.652050 | + | 0.547069i | ||||
\(886\) | −7.62372e7 | + | 3.95436e8i | −0.109614 | + | 0.568559i | ||||
\(887\) | 7.22095e8 | 1.03472 | 0.517361 | − | 0.855767i | \(-0.326915\pi\) | ||||
0.517361 | + | 0.855767i | \(0.326915\pi\) | |||||||
\(888\) | −5.45407e7 | − | 1.75472e8i | −0.0778900 | − | 0.250593i | ||||
\(889\) | − | 1.14614e8i | − | 0.163130i | ||||||
\(890\) | −4.82153e7 | + | 2.50089e8i | −0.0683936 | + | 0.354752i | ||||
\(891\) | 3.26056e8 | − | 6.99658e8i | 0.460955 | − | 0.989128i | ||||
\(892\) | 1.82532e8 | − | 4.55793e8i | 0.257184 | − | 0.642204i | ||||
\(893\) | −2.49138e8 | − | 2.49138e8i | −0.349853 | − | 0.349853i | ||||
\(894\) | 5.94129e8 | + | 7.31309e8i | 0.831511 | + | 1.02350i | ||||
\(895\) | 4.54122e8 | 0.633438 | ||||||||
\(896\) | −5.55939e8 | − | 3.39163e8i | −0.772864 | − | 0.471503i | ||||
\(897\) | −1.42101e7 | − | 1.62313e8i | −0.0196888 | − | 0.224892i | ||||
\(898\) | 6.32028e7 | + | 9.33934e7i | 0.0872785 | + | 0.128970i | ||||
\(899\) | −1.99079e8 | − | 1.99079e8i | −0.273998 | − | 0.273998i | ||||
\(900\) | 3.33557e7 | − | 1.59416e8i | 0.0457554 | − | 0.218677i | ||||
\(901\) | −1.22278e9 | − | 1.22278e9i | −1.67176 | − | 1.67176i | ||||
\(902\) | −1.79617e8 | + | 9.31659e8i | −0.244753 | + | 1.26951i | ||||
\(903\) | −6.83599e7 | − | 7.80829e8i | −0.0928407 | − | 1.06046i | ||||
\(904\) | −6.91674e7 | + | 1.50342e7i | −0.0936259 | + | 0.0203505i | ||||
\(905\) | 9.12973e8 | 1.23172 | ||||||||
\(906\) | 8.02665e8 | + | 8.30742e7i | 1.07932 | + | 0.111707i | ||||
\(907\) | 3.01488e8 | + | 3.01488e8i | 0.404062 | + | 0.404062i | 0.879662 | − | 0.475600i | \(-0.157769\pi\) |
−0.475600 | + | 0.879662i | \(0.657769\pi\) | |||||||
\(908\) | −2.52165e8 | + | 1.07950e8i | −0.336843 | + | 0.144200i | ||||
\(909\) | −6.11026e8 | − | 4.27738e8i | −0.813519 | − | 0.569490i | ||||
\(910\) | −4.55790e8 | + | 3.08450e8i | −0.604841 | + | 0.409318i | ||||
\(911\) | 8.37188e8i | 1.10731i | 0.832747 | + | 0.553654i | \(0.186767\pi\) | ||||
−0.832747 | + | 0.553654i | \(0.813233\pi\) | |||||||
\(912\) | −6.20140e8 | + | 7.75560e8i | −0.817533 | + | 1.02242i | ||||
\(913\) | −1.38003e9 | −1.81332 | ||||||||
\(914\) | −6.86142e8 | − | 1.01390e9i | −0.898619 | − | 1.32787i | ||||
\(915\) | −9.01649e8 | − | 7.56483e8i | −1.17699 | − | 0.987498i | ||||
\(916\) | −4.63826e8 | + | 1.98560e8i | −0.603488 | + | 0.258348i | ||||
\(917\) | 6.38434e8 | − | 6.38434e8i | 0.827958 | − | 0.827958i | ||||
\(918\) | −6.90163e7 | − | 9.63351e8i | −0.0892121 | − | 1.24525i | ||||
\(919\) | 1.00319e9i | 1.29251i | 0.763120 | + | 0.646257i | \(0.223667\pi\) | ||||
−0.763120 | + | 0.646257i | \(0.776333\pi\) | |||||||
\(920\) | −1.42351e8 | − | 9.15174e7i | −0.182809 | − | 0.117528i | ||||
\(921\) | 1.17199e8 | + | 1.33868e9i | 0.150018 | + | 1.71356i | ||||
\(922\) | −1.11832e9 | − | 2.15605e8i | −1.42684 | − | 0.275084i | ||||
\(923\) | −5.02211e8 | + | 5.02211e8i | −0.638676 | + | 0.638676i | ||||
\(924\) | 2.25546e8 | − | 7.46042e8i | 0.285903 | − | 0.945687i | ||||
\(925\) | 3.28106e7 | − | 3.28106e7i | 0.0414561 | − | 0.0414561i | ||||
\(926\) | 1.48694e8 | − | 1.00627e8i | 0.187266 | − | 0.126730i | ||||
\(927\) | 6.30601e8 | − | 1.11268e8i | 0.791618 | − | 0.139680i | ||||
\(928\) | −4.71128e8 | − | 6.62002e8i | −0.589515 | − | 0.828353i | ||||
\(929\) | − | 3.39676e8i | − | 0.423660i | −0.977307 | − | 0.211830i | \(-0.932058\pi\) | ||
0.977307 | − | 0.211830i | \(-0.0679423\pi\) | |||||||
\(930\) | 1.70346e8 | + | 2.09678e8i | 0.211779 | + | 0.260678i | ||||
\(931\) | 1.34728e8 | − | 1.34728e8i | 0.166959 | − | 0.166959i | ||||
\(932\) | −5.50365e8 | + | 1.37430e9i | −0.679834 | + | 1.69759i | ||||
\(933\) | −1.95859e8 | + | 2.33443e8i | −0.241156 | + | 0.287433i | ||||
\(934\) | 1.13992e9 | + | 2.19768e8i | 1.39905 | + | 0.269727i | ||||
\(935\) | 9.81358e8 | 1.20058 | ||||||||
\(936\) | −2.90046e8 | + | 6.92351e8i | −0.353704 | + | 0.844304i | ||||
\(937\) | − | 1.22832e9i | − | 1.49311i | −0.665324 | − | 0.746554i | \(-0.731707\pi\) | ||
0.665324 | − | 0.746554i | \(-0.268293\pi\) | |||||||
\(938\) | −1.21700e9 | − | 2.34629e8i | −1.47463 | − | 0.284297i | ||||
\(939\) | 3.60976e8 | + | 3.02859e8i | 0.435995 | + | 0.365800i | ||||
\(940\) | −2.54314e8 | + | 1.08870e8i | −0.306187 | + | 0.131076i | ||||
\(941\) | 2.73475e8 | + | 2.73475e8i | 0.328208 | + | 0.328208i | 0.851905 | − | 0.523697i | \(-0.175448\pi\) |
−0.523697 | + | 0.851905i | \(0.675448\pi\) | |||||||
\(942\) | 2.52134e8 | + | 3.10350e8i | 0.301633 | + | 0.371278i | ||||
\(943\) | 2.45014e8 | 0.292183 | ||||||||
\(944\) | 8.12279e8 | − | 1.91526e7i | 0.965583 | − | 0.0227673i | ||||
\(945\) | 1.74374e8 | + | 6.50315e8i | 0.206627 | + | 0.770599i | ||||
\(946\) | 8.99640e8 | − | 6.08820e8i | 1.06266 | − | 0.719143i | ||||
\(947\) | 2.23209e8 | + | 2.23209e8i | 0.262822 | + | 0.262822i | 0.826200 | − | 0.563378i | \(-0.190498\pi\) |
−0.563378 | + | 0.826200i | \(0.690498\pi\) | |||||||
\(948\) | −3.83068e8 | − | 7.15056e8i | −0.449625 | − | 0.839296i | ||||
\(949\) | 5.20138e8 | + | 5.20138e8i | 0.608583 | + | 0.608583i | ||||
\(950\) | −2.46220e8 | − | 4.74694e7i | −0.287179 | − | 0.0553659i | ||||
\(951\) | 5.61352e8 | − | 4.91452e7i | 0.652670 | − | 0.0571399i | ||||
\(952\) | −2.07130e8 | − | 9.52939e8i | −0.240067 | − | 1.10447i | ||||
\(953\) | 1.15460e9 | 1.33399 | 0.666995 | − | 0.745062i | \(-0.267580\pi\) | ||||
0.666995 | + | 0.745062i | \(0.267580\pi\) | |||||||
\(954\) | 1.64403e9 | + | 2.59870e7i | 1.89350 | + | 0.0299302i | ||||
\(955\) | 2.65535e8 | + | 2.65535e8i | 0.304867 | + | 0.304867i | ||||
\(956\) | −4.81773e8 | − | 1.92936e8i | −0.551402 | − | 0.220820i | ||||
\(957\) | 6.25027e8 | − | 7.44967e8i | 0.713120 | − | 0.849965i | ||||
\(958\) | 1.74427e8 | + | 2.57747e8i | 0.198389 | + | 0.293155i | ||||
\(959\) | 1.00036e9i | 1.13423i | ||||||||
\(960\) | 3.84275e8 | + | 6.78390e8i | 0.434338 | + | 0.766771i | ||||
\(961\) | −7.58589e8 | −0.854745 | ||||||||
\(962\) | −1.77116e8 | + | 1.19861e8i | −0.198944 | + | 0.134633i | ||||
\(963\) | −8.04747e8 | − | 5.63349e8i | −0.901116 | − | 0.630810i | ||||
\(964\) | 1.33308e8 | − | 3.32879e8i | 0.148808 | − | 0.371583i | ||||
\(965\) | −4.76315e8 | + | 4.76315e8i | −0.530044 | + | 0.530044i | ||||
\(966\) | −2.00193e8 | − | 2.07196e7i | −0.222084 | − | 0.0229853i | ||||
\(967\) | 5.96724e8i | 0.659924i | 0.943994 | + | 0.329962i | \(0.107036\pi\) | ||||
−0.943994 | + | 0.329962i | \(0.892964\pi\) | |||||||
\(968\) | 1.69162e8 | − | 3.67690e7i | 0.186499 | − | 0.0405374i | ||||
\(969\) | −1.48132e9 | + | 1.29687e8i | −1.62809 | + | 0.142536i | ||||
\(970\) | −5.95107e7 | + | 3.08677e8i | −0.0652048 | + | 0.338212i | ||||
\(971\) | −3.36566e8 | + | 3.36566e8i | −0.367631 | + | 0.367631i | −0.866613 | − | 0.498982i | \(-0.833708\pi\) |
0.498982 | + | 0.866613i | \(0.333708\pi\) | |||||||
\(972\) | 6.84510e8 | + | 6.12190e8i | 0.745385 | + | 0.666634i | ||||
\(973\) | −3.97037e8 | + | 3.97037e8i | −0.431015 | + | 0.431015i | ||||
\(974\) | 6.62327e8 | + | 9.78706e8i | 0.716796 | + | 1.05919i | ||||
\(975\) | −1.88832e8 | + | 1.65318e7i | −0.203733 | + | 0.0178364i | ||||
\(976\) | −1.62044e9 | + | 3.82080e7i | −1.74294 | + | 0.0410965i | ||||
\(977\) | 8.45394e8i | 0.906516i | 0.891379 | + | 0.453258i | \(0.149738\pi\) | ||||
−0.891379 | + | 0.453258i | \(0.850262\pi\) | |||||||
\(978\) | −1.13858e7 | − | 1.40147e7i | −0.0121716 | − | 0.0149819i | ||||
\(979\) | −2.96836e8 | + | 2.96836e8i | −0.316351 | + | 0.316351i | ||||
\(980\) | −5.88742e7 | − | 1.37527e8i | −0.0625528 | − | 0.146120i | ||||
\(981\) | 5.74576e8 | + | 4.02222e8i | 0.608612 | + | 0.426048i | ||||
\(982\) | −2.48292e8 | + | 1.28787e9i | −0.262197 | + | 1.35999i | ||||
\(983\) | 3.82375e7 | 0.0402558 | 0.0201279 | − | 0.999797i | \(-0.493593\pi\) | ||||
0.0201279 | + | 0.999797i | \(0.493593\pi\) | |||||||
\(984\) | −9.99127e8 | − | 5.25301e8i | −1.04866 | − | 0.551345i | ||||
\(985\) | − | 1.09365e9i | − | 1.14438i | ||||||
\(986\) | 2.30336e8 | − | 1.19473e9i | 0.240287 | − | 1.24635i | ||||
\(987\) | −2.11461e8 | + | 2.52039e8i | −0.219927 | + | 0.262130i | ||||
\(988\) | 1.07288e9 | + | 4.29656e8i | 1.11245 | + | 0.445503i | ||||
\(989\) | −1.98352e8 | − | 1.98352e8i | −0.205044 | − | 0.205044i | ||||
\(990\) | −6.70150e8 | + | 6.49293e8i | −0.690663 | + | 0.669168i | ||||
\(991\) | −1.25057e9 | −1.28495 | −0.642474 | − | 0.766307i | \(-0.722092\pi\) | ||||
−0.642474 | + | 0.766307i | \(0.722092\pi\) | |||||||
\(992\) | 3.66881e8 | + | 6.18004e7i | 0.375829 | + | 0.0633077i | ||||
\(993\) | 3.47031e7 | − | 3.03818e6i | 0.0354422 | − | 0.00310289i | ||||
\(994\) | 4.91699e8 | + | 7.26573e8i | 0.500657 | + | 0.739810i | ||||
\(995\) | 3.43982e8 | + | 3.43982e8i | 0.349194 | + | 0.349194i | ||||
\(996\) | 4.75120e8 | − | 1.57156e9i | 0.480867 | − | 1.59057i | ||||
\(997\) | −3.82791e8 | − | 3.82791e8i | −0.386257 | − | 0.386257i | 0.487093 | − | 0.873350i | \(-0.338057\pi\) |
−0.873350 | + | 0.487093i | \(0.838057\pi\) | |||||||
\(998\) | −2.29474e6 | + | 1.19026e7i | −0.00230857 | + | 0.0119744i | ||||
\(999\) | 6.77601e7 | + | 2.52706e8i | 0.0679638 | + | 0.253466i |
(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 | 48.7.i.a.5.10 | ✓ | 92 | |
3.2 | odd | 2 | inner | 48.7.i.a.5.37 | yes | 92 | |
4.3 | odd | 2 | 192.7.i.a.113.14 | 92 | |||
12.11 | even | 2 | 192.7.i.a.113.9 | 92 | |||
16.3 | odd | 4 | 192.7.i.a.17.9 | 92 | |||
16.13 | even | 4 | inner | 48.7.i.a.29.37 | yes | 92 | |
48.29 | odd | 4 | inner | 48.7.i.a.29.10 | yes | 92 | |
48.35 | even | 4 | 192.7.i.a.17.14 | 92 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.7.i.a.5.10 | ✓ | 92 | 1.1 | even | 1 | trivial | |
48.7.i.a.5.37 | yes | 92 | 3.2 | odd | 2 | inner | |
48.7.i.a.29.10 | yes | 92 | 48.29 | odd | 4 | inner | |
48.7.i.a.29.37 | yes | 92 | 16.13 | even | 4 | inner | |
192.7.i.a.17.9 | 92 | 16.3 | odd | 4 | |||
192.7.i.a.17.14 | 92 | 48.35 | even | 4 | |||
192.7.i.a.113.9 | 92 | 12.11 | even | 2 | |||
192.7.i.a.113.14 | 92 | 4.3 | odd | 2 |