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 | 18.17 | ||
Character | \(\chi\) | \(=\) | 43.18 |
Dual form | 43.7.h.a.12.17 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.91090 | − | 8.12108i | 0.488863 | − | 1.01513i | −0.499961 | − | 0.866048i | \(-0.666652\pi\) |
0.988824 | − | 0.149087i | \(-0.0476333\pi\) | |||||||
\(3\) | −30.1530 | + | 44.2263i | −1.11678 | + | 1.63801i | −0.449302 | + | 0.893380i | \(0.648327\pi\) |
−0.667475 | + | 0.744632i | \(0.732625\pi\) | |||||||
\(4\) | −10.7533 | − | 13.4843i | −0.168021 | − | 0.210692i | ||||
\(5\) | −104.403 | − | 112.520i | −0.835228 | − | 0.900162i | 0.160999 | − | 0.986955i | \(-0.448529\pi\) |
−0.996226 | + | 0.0867931i | \(0.972338\pi\) | |||||||
\(6\) | 241.240 | + | 417.840i | 1.11685 | + | 1.93444i | ||||
\(7\) | 148.599 | + | 85.7937i | 0.433233 | + | 0.250127i | 0.700723 | − | 0.713433i | \(-0.252861\pi\) |
−0.267490 | + | 0.963561i | \(0.586194\pi\) | |||||||
\(8\) | 410.852 | − | 93.7743i | 0.802445 | − | 0.183153i | ||||
\(9\) | −780.431 | − | 1988.50i | −1.07055 | − | 2.72772i | ||||
\(10\) | −1322.10 | + | 407.813i | −1.32210 | + | 0.407813i | ||||
\(11\) | 1378.83 | − | 1729.00i | 1.03594 | − | 1.29902i | 0.0827727 | − | 0.996568i | \(-0.473622\pi\) |
0.953164 | − | 0.302455i | \(-0.0978061\pi\) | |||||||
\(12\) | 920.605 | − | 68.9898i | 0.532758 | − | 0.0399247i | ||||
\(13\) | −1260.07 | − | 388.679i | −0.573539 | − | 0.176913i | −0.00560050 | − | 0.999984i | \(-0.501783\pi\) |
−0.567939 | + | 0.823071i | \(0.692259\pi\) | |||||||
\(14\) | 1277.89 | − | 871.253i | 0.465705 | − | 0.317512i | ||||
\(15\) | 8124.43 | − | 1224.56i | 2.40724 | − | 0.362833i | ||||
\(16\) | 1090.88 | − | 4779.44i | 0.266327 | − | 1.16685i | ||||
\(17\) | 3903.64 | + | 3622.04i | 0.794552 | + | 0.737237i | 0.968901 | − | 0.247447i | \(-0.0795916\pi\) |
−0.174349 | + | 0.984684i | \(0.555782\pi\) | |||||||
\(18\) | −19201.0 | − | 1438.91i | −3.29235 | − | 0.246728i | ||||
\(19\) | −5127.30 | − | 2012.32i | −0.747529 | − | 0.293384i | −0.0391670 | − | 0.999233i | \(-0.512470\pi\) |
−0.708362 | + | 0.705849i | \(0.750566\pi\) | |||||||
\(20\) | −394.566 | + | 2617.77i | −0.0493207 | + | 0.327222i | ||||
\(21\) | −8275.05 | + | 3985.05i | −0.893537 | + | 0.430305i | ||||
\(22\) | −8648.86 | − | 17959.5i | −0.812252 | − | 1.68666i | ||||
\(23\) | −7171.21 | − | 1080.89i | −0.589398 | − | 0.0888375i | −0.152430 | − | 0.988314i | \(-0.548710\pi\) |
−0.436968 | + | 0.899477i | \(0.643948\pi\) | |||||||
\(24\) | −8241.13 | + | 20998.0i | −0.596146 | + | 1.51896i | ||||
\(25\) | −593.049 | + | 7913.69i | −0.0379551 | + | 0.506476i | ||||
\(26\) | −8084.48 | + | 8713.00i | −0.459973 | + | 0.495733i | ||||
\(27\) | 73433.5 | + | 16760.7i | 3.73081 | + | 0.851533i | ||||
\(28\) | −441.072 | − | 2926.32i | −0.0200926 | − | 0.133305i | ||||
\(29\) | −17953.4 | − | 26332.8i | −0.736126 | − | 1.07970i | −0.993549 | − | 0.113400i | \(-0.963826\pi\) |
0.257423 | − | 0.966299i | \(-0.417127\pi\) | |||||||
\(30\) | 21829.1 | − | 70768.3i | 0.808486 | − | 2.62105i | ||||
\(31\) | −1756.55 | − | 23439.6i | −0.0589625 | − | 0.786800i | −0.945806 | − | 0.324731i | \(-0.894726\pi\) |
0.886844 | − | 0.462069i | \(-0.152893\pi\) | |||||||
\(32\) | −13461.3 | − | 10735.0i | −0.410806 | − | 0.327607i | ||||
\(33\) | 34891.4 | + | 113115.i | 0.970905 | + | 3.14760i | ||||
\(34\) | 44681.6 | − | 17536.3i | 1.13682 | − | 0.446170i | ||||
\(35\) | −5860.74 | − | 25677.6i | −0.136694 | − | 0.598894i | ||||
\(36\) | −18421.3 | + | 31906.6i | −0.394832 | + | 0.683870i | ||||
\(37\) | −2691.91 | + | 1554.18i | −0.0531442 | + | 0.0306828i | −0.526337 | − | 0.850276i | \(-0.676435\pi\) |
0.473192 | + | 0.880959i | \(0.343102\pi\) | |||||||
\(38\) | −36394.6 | + | 33769.2i | −0.663263 | + | 0.615418i | ||||
\(39\) | 55184.6 | − | 44008.2i | 0.930302 | − | 0.741891i | ||||
\(40\) | −53445.9 | − | 36438.8i | −0.835092 | − | 0.569356i | ||||
\(41\) | 30047.2 | + | 14470.0i | 0.435965 | + | 0.209950i | 0.638976 | − | 0.769227i | \(-0.279358\pi\) |
−0.203011 | + | 0.979177i | \(0.565073\pi\) | |||||||
\(42\) | 82787.4i | 1.11742i | ||||||||
\(43\) | 28381.4 | − | 74268.8i | 0.356967 | − | 0.934117i | ||||
\(44\) | −38141.4 | −0.447753 | ||||||||
\(45\) | −142267. | + | 295421.i | −1.56123 | + | 3.24193i | ||||
\(46\) | −36823.8 | + | 54010.7i | −0.378317 | + | 0.554889i | ||||
\(47\) | −5749.87 | − | 7210.11i | −0.0553815 | − | 0.0694462i | 0.753369 | − | 0.657598i | \(-0.228427\pi\) |
−0.808751 | + | 0.588151i | \(0.799856\pi\) | |||||||
\(48\) | 178484. | + | 192360.i | 1.61389 | + | 1.73936i | ||||
\(49\) | −44103.4 | − | 76389.3i | −0.374872 | − | 0.649298i | ||||
\(50\) | 61948.3 | + | 35765.9i | 0.495586 | + | 0.286127i | ||||
\(51\) | −277896. | + | 63427.9i | −2.09494 | + | 0.478157i | ||||
\(52\) | 8308.87 | + | 21170.7i | 0.0590925 | + | 0.150565i | ||||
\(53\) | −55338.7 | + | 17069.7i | −0.371707 | + | 0.114656i | −0.474980 | − | 0.879997i | \(-0.657545\pi\) |
0.103273 | + | 0.994653i | \(0.467069\pi\) | |||||||
\(54\) | 423306. | − | 530810.i | 2.68827 | − | 3.37099i | ||||
\(55\) | −338502. | + | 25367.2i | −2.03457 | + | 0.152470i | ||||
\(56\) | 69097.5 | + | 21313.8i | 0.393458 | + | 0.121366i | ||||
\(57\) | 243601. | − | 166084.i | 1.31539 | − | 0.896817i | ||||
\(58\) | −284064. | + | 42815.8i | −1.45590 | + | 0.219442i | ||||
\(59\) | 24269.4 | − | 106331.i | 0.118169 | − | 0.517732i | −0.880848 | − | 0.473400i | \(-0.843027\pi\) |
0.999017 | − | 0.0443327i | \(-0.0141162\pi\) | |||||||
\(60\) | −103877. | − | 96383.9i | −0.480913 | − | 0.446222i | ||||
\(61\) | −27062.7 | − | 2028.07i | −0.119229 | − | 0.00893496i | 0.0149820 | − | 0.999888i | \(-0.495231\pi\) |
−0.134211 | + | 0.990953i | \(0.542850\pi\) | |||||||
\(62\) | −197224. | − | 77404.8i | −0.827533 | − | 0.324783i | ||||
\(63\) | 54629.9 | − | 362446.i | 0.218479 | − | 1.44951i | ||||
\(64\) | 142854. | − | 68794.7i | 0.544943 | − | 0.262431i | ||||
\(65\) | 87821.0 | + | 182362.i | 0.319785 | + | 0.664041i | ||||
\(66\) | 1.05507e6 | + | 159027.i | 3.66987 | + | 0.553144i | ||||
\(67\) | −42390.0 | + | 108008.i | −0.140941 | + | 0.359113i | −0.983863 | − | 0.178924i | \(-0.942739\pi\) |
0.842922 | + | 0.538037i | \(0.180834\pi\) | |||||||
\(68\) | 6863.48 | − | 91586.8i | 0.0218282 | − | 0.291277i | ||||
\(69\) | 264037. | − | 284564.i | 0.803743 | − | 0.866229i | ||||
\(70\) | −231450. | − | 52827.0i | −0.674782 | − | 0.154015i | ||||
\(71\) | 56334.1 | + | 373753.i | 0.157397 | + | 1.04426i | 0.918440 | + | 0.395560i | \(0.129449\pi\) |
−0.761043 | + | 0.648701i | \(0.775312\pi\) | |||||||
\(72\) | −507112. | − | 743797.i | −1.35865 | − | 1.99277i | ||||
\(73\) | −120614. | + | 391019.i | −0.310047 | + | 1.00515i | 0.657712 | + | 0.753269i | \(0.271524\pi\) |
−0.967759 | + | 0.251878i | \(0.918952\pi\) | |||||||
\(74\) | 2093.77 | + | 27939.5i | 0.00516696 | + | 0.0689482i | ||||
\(75\) | −332111. | − | 264850.i | −0.787226 | − | 0.627792i | ||||
\(76\) | 28001.0 | + | 90777.1i | 0.0637872 | + | 0.206793i | ||||
\(77\) | 353230. | − | 138633.i | 0.773724 | − | 0.303664i | ||||
\(78\) | −141573. | − | 620270.i | −0.298329 | − | 1.30706i | ||||
\(79\) | −180463. | + | 312571.i | −0.366022 | + | 0.633969i | −0.988940 | − | 0.148319i | \(-0.952614\pi\) |
0.622918 | + | 0.782287i | \(0.285947\pi\) | |||||||
\(80\) | −651674. | + | 376244.i | −1.27280 | + | 0.734852i | ||||
\(81\) | −1.81395e6 | + | 1.68310e6i | −3.41326 | + | 3.16704i | ||||
\(82\) | 235023. | − | 187425.i | 0.426255 | − | 0.339927i | ||||
\(83\) | −133459. | − | 90991.1i | −0.233407 | − | 0.159135i | 0.440969 | − | 0.897522i | \(-0.354635\pi\) |
−0.674376 | + | 0.738388i | \(0.735587\pi\) | |||||||
\(84\) | 142720. | + | 68730.3i | 0.240795 | + | 0.115961i | ||||
\(85\) | − | 817392.i | − | 1.33099i | ||||||
\(86\) | −492146. | − | 520946.i | −0.773746 | − | 0.819025i | ||||
\(87\) | 1.70595e6 | 2.59065 | ||||||||
\(88\) | 404360. | − | 839662.i | 0.593363 | − | 1.23213i | ||||
\(89\) | −17269.8 | + | 25330.1i | −0.0244972 | + | 0.0359308i | −0.838292 | − | 0.545221i | \(-0.816446\pi\) |
0.813795 | + | 0.581152i | \(0.197398\pi\) | |||||||
\(90\) | 1.84274e6 | + | 2.31073e6i | 2.52777 | + | 3.16972i | ||||
\(91\) | −153898. | − | 165863.i | −0.204225 | − | 0.220103i | ||||
\(92\) | 62539.5 | + | 108322.i | 0.0803140 | + | 0.139108i | ||||
\(93\) | 1.08961e6 | + | 629087.i | 1.35464 | + | 0.782099i | ||||
\(94\) | −81041.1 | + | 18497.1i | −0.0975712 | + | 0.0222700i | ||||
\(95\) | 308882. | + | 787018.i | 0.360265 | + | 0.917939i | ||||
\(96\) | 880669. | − | 271650.i | 0.995403 | − | 0.307041i | ||||
\(97\) | 228403. | − | 286408.i | 0.250257 | − | 0.313812i | −0.640796 | − | 0.767711i | \(-0.721396\pi\) |
0.891053 | + | 0.453899i | \(0.149967\pi\) | |||||||
\(98\) | −792847. | + | 59415.7i | −0.842386 | + | 0.0631281i | ||||
\(99\) | −4.51421e6 | − | 1.39245e6i | −4.65239 | − | 1.43507i | ||||
\(100\) | 113088. | − | 77101.8i | 0.113088 | − | 0.0771018i | ||||
\(101\) | 1.44574e6 | − | 217911.i | 1.40322 | − | 0.211502i | 0.596586 | − | 0.802549i | \(-0.296523\pi\) |
0.806637 | + | 0.591047i | \(0.201285\pi\) | |||||||
\(102\) | −571721. | + | 2.50487e6i | −0.538746 | + | 2.36040i | ||||
\(103\) | −1.19612e6 | − | 1.10983e6i | −1.09462 | − | 1.01566i | −0.999797 | − | 0.0201618i | \(-0.993582\pi\) |
−0.0948204 | − | 0.995494i | \(-0.530228\pi\) | |||||||
\(104\) | −554148. | − | 41527.7i | −0.492636 | − | 0.0369180i | ||||
\(105\) | 1.31234e6 | + | 515057.i | 1.13365 | + | 0.444925i | ||||
\(106\) | −77799.7 | + | 516167.i | −0.0653221 | + | 0.433384i | ||||
\(107\) | 1.35513e6 | − | 652596.i | 1.10619 | − | 0.532713i | 0.210590 | − | 0.977574i | \(-0.432461\pi\) |
0.895599 | + | 0.444862i | \(0.146747\pi\) | |||||||
\(108\) | −563650. | − | 1.17043e6i | −0.447444 | − | 0.929126i | ||||
\(109\) | 1.16454e6 | + | 175526.i | 0.899236 | + | 0.135538i | 0.582362 | − | 0.812930i | \(-0.302129\pi\) |
0.316874 | + | 0.948468i | \(0.397367\pi\) | |||||||
\(110\) | −1.11784e6 | + | 2.84821e6i | −0.839850 | + | 2.13990i | ||||
\(111\) | 12433.7 | − | 165917.i | 0.00909143 | − | 0.121317i | ||||
\(112\) | 572149. | − | 616630.i | 0.407244 | − | 0.438905i | ||||
\(113\) | 333707. | + | 76166.5i | 0.231276 | + | 0.0527872i | 0.336588 | − | 0.941652i | \(-0.390727\pi\) |
−0.105312 | + | 0.994439i | \(0.533584\pi\) | |||||||
\(114\) | −396083. | − | 2.62784e6i | −0.267345 | − | 1.77372i | ||||
\(115\) | 627077. | + | 919754.i | 0.412314 | + | 0.604753i | ||||
\(116\) | −162019. | + | 525254.i | −0.103799 | + | 0.336508i | ||||
\(117\) | 210504. | + | 2.80898e6i | 0.131433 | + | 1.75385i | ||||
\(118\) | −768609. | − | 612945.i | −0.467799 | − | 0.373058i | ||||
\(119\) | 269328. | + | 873140.i | 0.159823 | + | 0.518135i | ||||
\(120\) | 3.22311e6 | − | 1.26498e6i | 1.86522 | − | 0.732046i | ||||
\(121\) | −694055. | − | 3.04085e6i | −0.391776 | − | 1.71648i | ||||
\(122\) | −122310. | + | 211846.i | −0.0673567 | + | 0.116665i | ||||
\(123\) | −1.54597e6 | + | 892563.i | −0.830777 | + | 0.479649i | ||||
\(124\) | −297177. | + | 275740.i | −0.155865 | + | 0.144622i | ||||
\(125\) | −922753. | + | 735871.i | −0.472450 | + | 0.376766i | ||||
\(126\) | −2.72980e6 | − | 1.86115e6i | −1.36464 | − | 0.930398i | ||||
\(127\) | 2.04180e6 | + | 983281.i | 0.996789 | + | 0.480028i | 0.859847 | − | 0.510551i | \(-0.170559\pi\) |
0.136941 | + | 0.990579i | \(0.456273\pi\) | |||||||
\(128\) | − | 2.53110e6i | − | 1.20692i | ||||||
\(129\) | 2.42885e6 | + | 3.49463e6i | 1.13144 | + | 1.62792i | ||||
\(130\) | 1.82444e6 | 0.830422 | ||||||||
\(131\) | 618059. | − | 1.28341e6i | 0.274926 | − | 0.570890i | −0.717093 | − | 0.696978i | \(-0.754528\pi\) |
0.992019 | + | 0.126087i | \(0.0402420\pi\) | |||||||
\(132\) | 1.15008e6 | − | 1.68685e6i | 0.500040 | − | 0.733424i | ||||
\(133\) | −589268. | − | 738919.i | −0.250471 | − | 0.314081i | ||||
\(134\) | 711357. | + | 766661.i | 0.295647 | + | 0.318632i | ||||
\(135\) | −5.78079e6 | − | 1.00126e7i | −2.34956 | − | 4.06955i | ||||
\(136\) | 1.94347e6 | + | 1.12206e6i | 0.772612 | + | 0.446068i | ||||
\(137\) | −2.35892e6 | + | 538409.i | −0.917386 | + | 0.209387i | −0.655047 | − | 0.755588i | \(-0.727351\pi\) |
−0.262339 | + | 0.964976i | \(0.584494\pi\) | |||||||
\(138\) | −1.27834e6 | − | 3.25717e6i | −0.486419 | − | 1.23937i | ||||
\(139\) | 1.60964e6 | − | 496508.i | 0.599356 | − | 0.184877i | 0.0197925 | − | 0.999804i | \(-0.493699\pi\) |
0.579563 | + | 0.814927i | \(0.303223\pi\) | |||||||
\(140\) | −283221. | + | 355148.i | −0.103215 | + | 0.129427i | ||||
\(141\) | 492253. | − | 36889.2i | 0.175603 | − | 0.0131596i | ||||
\(142\) | 3.25559e6 | + | 1.00422e6i | 1.13701 | + | 0.350721i | ||||
\(143\) | −2.40944e6 | + | 1.64273e6i | −0.823965 | + | 0.561770i | ||||
\(144\) | −1.03553e7 | + | 1.56081e6i | −3.46796 | + | 0.522712i | ||||
\(145\) | −1.08857e6 | + | 4.76935e6i | −0.357070 | + | 1.56443i | ||||
\(146\) | 2.70379e6 | + | 2.50875e6i | 0.868789 | + | 0.806119i | ||||
\(147\) | 4.70827e6 | + | 352836.i | 1.48221 | + | 0.111076i | ||||
\(148\) | 49904.0 | + | 19585.9i | 0.0153940 | + | 0.00604169i | ||||
\(149\) | 97882.6 | − | 649409.i | 0.0295901 | − | 0.196318i | −0.969152 | − | 0.246465i | \(-0.920731\pi\) |
0.998742 | + | 0.0501473i | \(0.0159691\pi\) | |||||||
\(150\) | −3.44972e6 | + | 1.66130e6i | −1.02214 | + | 0.492236i | ||||
\(151\) | 569763. | + | 1.18312e6i | 0.165487 | + | 0.343637i | 0.967177 | − | 0.254103i | \(-0.0817801\pi\) |
−0.801691 | + | 0.597739i | \(0.796066\pi\) | |||||||
\(152\) | −2.29527e6 | − | 345956.i | −0.653585 | − | 0.0985122i | ||||
\(153\) | 4.15594e6 | − | 1.05892e7i | 1.16036 | − | 2.95656i | ||||
\(154\) | 255603. | − | 3.41079e6i | 0.0699849 | − | 0.933884i | ||||
\(155\) | −2.45403e6 | + | 2.64482e6i | −0.659000 | + | 0.710233i | ||||
\(156\) | −1.18684e6 | − | 270888.i | −0.312621 | − | 0.0713536i | ||||
\(157\) | 509165. | + | 3.37809e6i | 0.131571 | + | 0.872915i | 0.953080 | + | 0.302719i | \(0.0978944\pi\) |
−0.821509 | + | 0.570195i | \(0.806867\pi\) | |||||||
\(158\) | 1.83264e6 | + | 2.68799e6i | 0.464629 | + | 0.681485i | ||||
\(159\) | 913695. | − | 2.96213e6i | 0.227306 | − | 0.736907i | ||||
\(160\) | 197499. | + | 2.63544e6i | 0.0482175 | + | 0.643418i | ||||
\(161\) | −972901. | − | 775863.i | −0.233126 | − | 0.185912i | ||||
\(162\) | 6.57438e6 | + | 2.13136e7i | 1.54636 | + | 5.01317i | ||||
\(163\) | 3.89657e6 | − | 1.52929e6i | 0.899745 | − | 0.353124i | 0.130029 | − | 0.991510i | \(-0.458493\pi\) |
0.769716 | + | 0.638386i | \(0.220398\pi\) | |||||||
\(164\) | −127991. | − | 560765.i | −0.0290167 | − | 0.127130i | ||||
\(165\) | 9.08495e6 | − | 1.57356e7i | 2.02242 | − | 3.50293i | ||||
\(166\) | −1.26089e6 | + | 727976.i | −0.275647 | + | 0.159145i | ||||
\(167\) | −5.87466e6 | + | 5.45089e6i | −1.26134 | + | 1.17036i | −0.283971 | + | 0.958833i | \(0.591652\pi\) |
−0.977373 | + | 0.211523i | \(0.932158\pi\) | |||||||
\(168\) | −3.02612e6 | + | 2.41325e6i | −0.638203 | + | 0.508950i | ||||
\(169\) | −2.55140e6 | − | 1.73952e6i | −0.528590 | − | 0.360387i | ||||
\(170\) | −6.63810e6 | − | 3.19674e6i | −1.35113 | − | 0.650670i | ||||
\(171\) | 1.17661e7i | 2.35313i | ||||||||
\(172\) | −1.30666e6 | + | 415937.i | −0.256789 | + | 0.0817414i | ||||
\(173\) | −661910. | −0.127838 | −0.0639191 | − | 0.997955i | \(-0.520360\pi\) | ||||
−0.0639191 | + | 0.997955i | \(0.520360\pi\) | |||||||
\(174\) | 6.67180e6 | − | 1.38541e7i | 1.26647 | − | 2.62986i | ||||
\(175\) | −767071. | + | 1.12509e6i | −0.143127 | + | 0.209929i | ||||
\(176\) | −6.75951e6 | − | 8.47616e6i | −1.23987 | − | 1.55475i | ||||
\(177\) | 3.97085e6 | + | 4.27956e6i | 0.716083 | + | 0.771754i | ||||
\(178\) | 138167. | + | 239313.i | 0.0244988 | + | 0.0424333i | ||||
\(179\) | 573316. | + | 331004.i | 0.0999621 | + | 0.0577131i | 0.549148 | − | 0.835725i | \(-0.314952\pi\) |
−0.449186 | + | 0.893438i | \(0.648286\pi\) | |||||||
\(180\) | 5.51339e6 | − | 1.25839e6i | 0.945368 | − | 0.215774i | ||||
\(181\) | 395214. | + | 1.00699e6i | 0.0666494 | + | 0.169820i | 0.960318 | − | 0.278908i | \(-0.0899725\pi\) |
−0.893668 | + | 0.448728i | \(0.851877\pi\) | |||||||
\(182\) | −1.94887e6 | + | 601146.i | −0.323272 | + | 0.0997162i | ||||
\(183\) | 905715. | − | 1.13573e6i | 0.147788 | − | 0.185320i | ||||
\(184\) | −3.04766e6 | + | 228391.i | −0.489231 | + | 0.0366628i | ||||
\(185\) | 455922. | + | 140633.i | 0.0720070 | + | 0.0222112i | ||||
\(186\) | 9.37023e6 | − | 6.38851e6i | 1.45617 | − | 0.992798i | ||||
\(187\) | 1.16450e7 | − | 1.75520e6i | 1.78079 | − | 0.268411i | ||||
\(188\) | −35392.7 | + | 155066.i | −0.00532648 | + | 0.0233369i | ||||
\(189\) | 9.47419e6 | + | 8.79076e6i | 1.40332 | + | 1.30209i | ||||
\(190\) | 7.59944e6 | + | 569499.i | 1.10795 | + | 0.0830295i | ||||
\(191\) | 5.23260e6 | + | 2.05364e6i | 0.750961 | + | 0.294731i | 0.709782 | − | 0.704421i | \(-0.248793\pi\) |
0.0411790 | + | 0.999152i | \(0.486889\pi\) | |||||||
\(192\) | −1.26493e6 | + | 8.39226e6i | −0.178716 | + | 1.18570i | ||||
\(193\) | −5.07686e6 | + | 2.44489e6i | −0.706192 | + | 0.340084i | −0.752271 | − | 0.658854i | \(-0.771042\pi\) |
0.0460790 | + | 0.998938i | \(0.485327\pi\) | |||||||
\(194\) | −1.43268e6 | − | 2.97499e6i | −0.196220 | − | 0.407456i | ||||
\(195\) | −1.07133e7 | − | 1.61477e6i | −1.44484 | − | 0.217774i | ||||
\(196\) | −555795. | + | 1.41614e6i | −0.0738153 | + | 0.188078i | ||||
\(197\) | 583682. | − | 7.78869e6i | 0.0763445 | − | 1.01875i | −0.819123 | − | 0.573618i | \(-0.805539\pi\) |
0.895467 | − | 0.445128i | \(-0.146842\pi\) | |||||||
\(198\) | −2.89628e7 | + | 3.12145e7i | −3.73117 | + | 4.02125i | ||||
\(199\) | −1.67955e6 | − | 383347.i | −0.213125 | − | 0.0486444i | 0.114625 | − | 0.993409i | \(-0.463433\pi\) |
−0.327750 | + | 0.944764i | \(0.606290\pi\) | |||||||
\(200\) | 498445. | + | 3.30697e6i | 0.0623056 | + | 0.413371i | ||||
\(201\) | −3.49861e6 | − | 5.13151e6i | −0.430831 | − | 0.631913i | ||||
\(202\) | 3.88449e6 | − | 1.25932e7i | 0.471281 | − | 1.52786i | ||||
\(203\) | −408669. | − | 5.45331e6i | −0.0488522 | − | 0.651887i | ||||
\(204\) | 3.84359e6 | + | 3.06516e6i | 0.452738 | + | 0.361046i | ||||
\(205\) | −1.50887e6 | − | 4.89163e6i | −0.175142 | − | 0.567795i | ||||
\(206\) | −1.36910e7 | + | 5.37330e6i | −1.56615 | + | 0.614667i | ||||
\(207\) | 3.44728e6 | + | 1.51035e7i | 0.388656 | + | 1.70281i | ||||
\(208\) | −3.23224e6 | + | 5.59840e6i | −0.359181 | + | 0.622120i | ||||
\(209\) | −1.05490e7 | + | 6.09046e6i | −1.15550 | + | 0.667131i | ||||
\(210\) | 9.31526e6 | − | 8.64330e6i | 1.00586 | − | 0.933301i | ||||
\(211\) | −6.48903e6 | + | 5.17483e6i | −0.690769 | + | 0.550870i | −0.904737 | − | 0.425971i | \(-0.859933\pi\) |
0.213968 | + | 0.976841i | \(0.431361\pi\) | |||||||
\(212\) | 825249. | + | 562645.i | 0.0866118 | + | 0.0590509i | ||||
\(213\) | −1.82283e7 | − | 8.77831e6i | −1.88629 | − | 0.908389i | ||||
\(214\) | − | 1.35573e7i | − | 1.38335i | ||||||
\(215\) | −1.13199e7 | + | 4.56045e6i | −1.13900 | + | 0.458873i | ||||
\(216\) | 3.17420e7 | 3.14973 | ||||||||
\(217\) | 1.74995e6 | − | 3.63380e6i | 0.171256 | − | 0.355616i | ||||
\(218\) | 5.97985e6 | − | 8.77082e6i | 0.577192 | − | 0.846586i | ||||
\(219\) | −1.36565e7 | − | 1.71247e7i | −1.30019 | − | 1.63039i | ||||
\(220\) | 3.98209e6 | + | 4.29167e6i | 0.373975 | + | 0.403050i | ||||
\(221\) | −3.51102e6 | − | 6.08127e6i | −0.325280 | − | 0.563401i | ||||
\(222\) | −1.29879e6 | − | 749859.i | −0.118708 | − | 0.0685363i | ||||
\(223\) | 1.06526e7 | − | 2.43139e6i | 0.960597 | − | 0.219250i | 0.286655 | − | 0.958034i | \(-0.407457\pi\) |
0.673942 | + | 0.738784i | \(0.264600\pi\) | |||||||
\(224\) | −1.07934e6 | − | 2.75011e6i | −0.0960314 | − | 0.244684i | ||||
\(225\) | 1.61992e7 | − | 4.99680e6i | 1.42216 | − | 0.438677i | ||||
\(226\) | 1.92365e6 | − | 2.41218e6i | 0.166648 | − | 0.208970i | ||||
\(227\) | 9.56945e6 | − | 717131.i | 0.818106 | − | 0.0613086i | 0.340899 | − | 0.940100i | \(-0.389268\pi\) |
0.477206 | + | 0.878791i | \(0.341649\pi\) | |||||||
\(228\) | −4.85905e6 | − | 1.49882e6i | −0.409965 | − | 0.126458i | ||||
\(229\) | −1.05651e7 | + | 7.20317e6i | −0.879766 | + | 0.599814i | −0.916732 | − | 0.399502i | \(-0.869183\pi\) |
0.0369661 | + | 0.999317i | \(0.488231\pi\) | |||||||
\(230\) | 9.92183e6 | − | 1.49547e6i | 0.815470 | − | 0.122912i | ||||
\(231\) | −4.51974e6 | + | 1.98023e7i | −0.366672 | + | 1.60649i | ||||
\(232\) | −9.84552e6 | − | 9.13531e6i | −0.788451 | − | 0.731576i | ||||
\(233\) | 2.31045e7 | + | 1.73144e6i | 1.82654 | + | 0.136880i | 0.943277 | − | 0.332006i | \(-0.107725\pi\) |
0.883259 | + | 0.468886i | \(0.155344\pi\) | |||||||
\(234\) | 2.36352e7 | + | 9.27614e6i | 1.84464 | + | 0.723969i | ||||
\(235\) | −210977. | + | 1.39974e6i | −0.0162566 | + | 0.107856i | ||||
\(236\) | −1.69478e6 | + | 816162.i | −0.128937 | + | 0.0620927i | ||||
\(237\) | −8.38237e6 | − | 1.74062e7i | −0.629683 | − | 1.30755i | ||||
\(238\) | 8.14415e6 | + | 1.22753e6i | 0.604108 | + | 0.0910547i | ||||
\(239\) | −7.84750e6 | + | 1.99951e7i | −0.574828 | + | 1.46464i | 0.287247 | + | 0.957857i | \(0.407260\pi\) |
−0.862075 | + | 0.506781i | \(0.830835\pi\) | |||||||
\(240\) | 3.01003e6 | − | 4.01661e7i | 0.217739 | − | 2.90553i | ||||
\(241\) | 1.02807e7 | − | 1.10800e7i | 0.734468 | − | 0.791568i | −0.249791 | − | 0.968300i | \(-0.580362\pi\) |
0.984259 | + | 0.176732i | \(0.0565525\pi\) | |||||||
\(242\) | −2.74094e7 | − | 6.25602e6i | −1.93399 | − | 0.441420i | ||||
\(243\) | −1.15574e7 | − | 7.66782e7i | −0.805453 | − | 5.34383i | ||||
\(244\) | 263667. | + | 386729.i | 0.0181504 | + | 0.0266218i | ||||
\(245\) | −3.99079e6 | + | 1.29378e7i | −0.271369 | + | 0.879758i | ||||
\(246\) | 1.20245e6 | + | 1.60456e7i | 0.0807724 | + | 1.07783i | ||||
\(247\) | 5.67859e6 | + | 4.52853e6i | 0.376834 | + | 0.300515i | ||||
\(248\) | −2.91971e6 | − | 9.46547e6i | −0.191419 | − | 0.620565i | ||||
\(249\) | 8.04840e6 | − | 3.15876e6i | 0.521328 | − | 0.204606i | ||||
\(250\) | 2.36727e6 | + | 1.03717e7i | 0.151505 | + | 0.663787i | ||||
\(251\) | −6.84377e6 | + | 1.18538e7i | −0.432787 | + | 0.749609i | −0.997112 | − | 0.0759434i | \(-0.975803\pi\) |
0.564325 | + | 0.825553i | \(0.309136\pi\) | |||||||
\(252\) | −5.47478e6 | + | 3.16086e6i | −0.342109 | + | 0.197517i | ||||
\(253\) | −1.17567e7 | + | 1.09087e7i | −0.725981 | + | 0.673612i | ||||
\(254\) | 1.59706e7 | − | 1.27361e7i | 0.974586 | − | 0.777206i | ||||
\(255\) | 3.61502e7 | + | 2.46468e7i | 2.18017 | + | 1.48642i | ||||
\(256\) | −1.14126e7 | − | 5.49604e6i | −0.680247 | − | 0.327590i | ||||
\(257\) | 3.29503e7i | 1.94115i | 0.240791 | + | 0.970577i | \(0.422593\pi\) | ||||
−0.240791 | + | 0.970577i | \(0.577407\pi\) | |||||||
\(258\) | 3.78792e7 | − | 6.05774e6i | 2.20567 | − | 0.352738i | ||||
\(259\) | −533355. | −0.0306985 | ||||||||
\(260\) | 1.51465e6 | − | 3.14521e6i | 0.0861773 | − | 0.178949i | ||||
\(261\) | −3.83515e7 | + | 5.62513e7i | −2.15705 | + | 3.16381i | ||||
\(262\) | −8.00552e6 | − | 1.00386e7i | −0.445129 | − | 0.558174i | ||||
\(263\) | −9.16265e6 | − | 9.87499e6i | −0.503679 | − | 0.542837i | 0.429114 | − | 0.903251i | \(-0.358826\pi\) |
−0.932793 | + | 0.360414i | \(0.882636\pi\) | |||||||
\(264\) | 2.49425e7 | + | 4.32017e7i | 1.35559 | + | 2.34795i | ||||
\(265\) | 7.69824e6 | + | 4.44458e6i | 0.413670 | + | 0.238832i | ||||
\(266\) | −8.30539e6 | + | 1.89565e6i | −0.441281 | + | 0.100719i | ||||
\(267\) | −599523. | − | 1.52756e6i | −0.0314972 | − | 0.0802535i | ||||
\(268\) | 1.91224e6 | − | 589849.i | 0.0993433 | − | 0.0306433i | ||||
\(269\) | −1.33842e6 | + | 1.67832e6i | −0.0687598 | + | 0.0862221i | −0.815022 | − | 0.579430i | \(-0.803275\pi\) |
0.746262 | + | 0.665652i | \(0.231847\pi\) | |||||||
\(270\) | −1.03921e8 | + | 7.78784e6i | −5.27976 | + | 0.395663i | ||||
\(271\) | −7.42937e6 | − | 2.29166e6i | −0.373288 | − | 0.115144i | 0.102434 | − | 0.994740i | \(-0.467337\pi\) |
−0.475722 | + | 0.879596i | \(0.657813\pi\) | |||||||
\(272\) | 2.15697e7 | − | 1.47060e7i | 1.07186 | − | 0.730781i | ||||
\(273\) | 1.19760e7 | − | 1.80509e6i | 0.588605 | − | 0.0887180i | ||||
\(274\) | −4.85306e6 | + | 2.12627e7i | −0.235920 | + | 1.03363i | ||||
\(275\) | 1.28651e7 | + | 1.19370e7i | 0.618605 | + | 0.573982i | ||||
\(276\) | −6.67642e6 | − | 500329.i | −0.317553 | − | 0.0237973i | ||||
\(277\) | −1.73964e6 | − | 682759.i | −0.0818503 | − | 0.0321239i | 0.324063 | − | 0.946036i | \(-0.394951\pi\) |
−0.405913 | + | 0.913912i | \(0.633046\pi\) | |||||||
\(278\) | 2.26297e6 | − | 1.50138e7i | 0.105328 | − | 0.698806i | ||||
\(279\) | −4.52388e7 | + | 2.17859e7i | −2.08304 | + | 1.00314i | ||||
\(280\) | −4.81579e6 | − | 1.00001e7i | −0.219378 | − | 0.455544i | ||||
\(281\) | 3.02841e7 | + | 4.56459e6i | 1.36488 | + | 0.205723i | 0.790298 | − | 0.612722i | \(-0.209925\pi\) |
0.574585 | + | 0.818445i | \(0.305164\pi\) | |||||||
\(282\) | 1.62557e6 | − | 4.14189e6i | 0.0724868 | − | 0.184693i | ||||
\(283\) | 2.92290e6 | − | 3.90035e7i | 0.128960 | − | 1.72085i | −0.439585 | − | 0.898201i | \(-0.644874\pi\) |
0.568545 | − | 0.822652i | \(-0.307506\pi\) | |||||||
\(284\) | 4.43400e6 | − | 4.77872e6i | 0.193571 | − | 0.208620i | ||||
\(285\) | −4.41206e7 | − | 1.00702e7i | −1.90593 | − | 0.435016i | ||||
\(286\) | 3.91764e6 | + | 2.59918e7i | 0.167466 | + | 1.11106i | ||||
\(287\) | 3.22355e6 | + | 4.72808e6i | 0.136361 | + | 0.200004i | ||||
\(288\) | −1.08410e7 | + | 3.51458e7i | −0.453830 | + | 1.47128i | ||||
\(289\) | 315362. | + | 4.20821e6i | 0.0130652 | + | 0.174343i | ||||
\(290\) | 3.44749e7 | + | 2.74929e7i | 1.41354 | + | 1.12726i | ||||
\(291\) | 5.77974e6 | + | 1.87375e7i | 0.234547 | + | 0.760382i | ||||
\(292\) | 6.56961e6 | − | 2.57838e6i | 0.263871 | − | 0.103562i | ||||
\(293\) | 5.04104e6 | + | 2.20862e7i | 0.200409 | + | 0.878049i | 0.970688 | + | 0.240342i | \(0.0772597\pi\) |
−0.770279 | + | 0.637707i | \(0.779883\pi\) | |||||||
\(294\) | 2.12790e7 | − | 3.68563e7i | 0.837353 | − | 1.45034i | ||||
\(295\) | −1.44982e7 | + | 8.37056e6i | −0.564741 | + | 0.326053i | ||||
\(296\) | −960237. | + | 890969.i | −0.0370257 | + | 0.0343548i | ||||
\(297\) | 1.30232e8 | − | 1.03856e8i | 4.97104 | − | 3.96427i | ||||
\(298\) | −4.89109e6 | − | 3.33469e6i | −0.184823 | − | 0.126010i | ||||
\(299\) | 8.61607e6 | + | 4.14928e6i | 0.322326 | + | 0.155224i | ||||
\(300\) | 7.32630e6i | 0.271344i | ||||||||
\(301\) | 1.05892e7 | − | 8.60134e6i | 0.388298 | − | 0.315404i | ||||
\(302\) | 1.18365e7 | 0.429738 | ||||||||
\(303\) | −3.39561e7 | + | 7.05105e7i | −1.22065 | + | 2.53470i | ||||
\(304\) | −1.52110e7 | + | 2.23104e7i | −0.541423 | + | 0.794122i | ||||
\(305\) | 2.59724e6 | + | 3.25683e6i | 0.0915403 | + | 0.114788i | ||||
\(306\) | −6.97418e7 | − | 7.51638e7i | −2.43405 | − | 2.62328i | ||||
\(307\) | −1.60185e7 | − | 2.77449e7i | −0.553615 | − | 0.958889i | −0.998010 | − | 0.0630582i | \(-0.979915\pi\) |
0.444395 | − | 0.895831i | \(-0.353419\pi\) | |||||||
\(308\) | −5.66777e6 | − | 3.27229e6i | −0.193981 | − | 0.111995i | ||||
\(309\) | 8.51504e7 | − | 1.94350e7i | 2.88610 | − | 0.658734i | ||||
\(310\) | 1.18813e7 | + | 3.02730e7i | 0.398821 | + | 1.01618i | ||||
\(311\) | 4.46103e7 | − | 1.37605e7i | 1.48305 | − | 0.457459i | 0.555610 | − | 0.831443i | \(-0.312485\pi\) |
0.927435 | + | 0.373984i | \(0.122009\pi\) | |||||||
\(312\) | 1.85459e7 | − | 2.32558e7i | 0.610637 | − | 0.765714i | ||||
\(313\) | 1.75819e7 | − | 1.31758e6i | 0.573367 | − | 0.0429679i | 0.215108 | − | 0.976590i | \(-0.430990\pi\) |
0.358259 | + | 0.933622i | \(0.383371\pi\) | |||||||
\(314\) | 2.94250e7 | + | 9.07641e6i | 0.950446 | + | 0.293174i | ||||
\(315\) | −4.64861e7 | + | 3.16937e7i | −1.48727 | + | 1.01401i | ||||
\(316\) | 6.15538e6 | − | 927774.i | 0.195071 | − | 0.0294023i | ||||
\(317\) | 1.19155e7 | − | 5.22051e7i | 0.374053 | − | 1.63883i | −0.341216 | − | 0.939985i | \(-0.610839\pi\) |
0.715269 | − | 0.698849i | \(-0.246304\pi\) | |||||||
\(318\) | −2.04823e7 | − | 1.90048e7i | −0.636938 | − | 0.590992i | ||||
\(319\) | −7.02840e7 | − | 5.26706e6i | −2.16513 | − | 0.162254i | ||||
\(320\) | −2.26552e7 | − | 8.89151e6i | −0.691382 | − | 0.271347i | ||||
\(321\) | −1.19993e7 | + | 7.96101e7i | −0.362778 | + | 2.40687i | ||||
\(322\) | −1.01058e7 | + | 4.86668e6i | −0.302692 | + | 0.145769i | ||||
\(323\) | −1.27264e7 | − | 2.64267e7i | −0.377658 | − | 0.784215i | ||||
\(324\) | 4.22013e7 | + | 6.36083e6i | 1.24077 | + | 0.187016i | ||||
\(325\) | 3.82316e6 | − | 9.74126e6i | 0.111371 | − | 0.283769i | ||||
\(326\) | 2.81962e6 | − | 3.76252e7i | 0.0813838 | − | 1.08599i | ||||
\(327\) | −4.28771e7 | + | 4.62105e7i | −1.22626 | + | 1.32159i | ||||
\(328\) | 1.37019e7 | + | 3.12736e6i | 0.388291 | + | 0.0886250i | ||||
\(329\) | −235844. | − | 1.56472e6i | −0.00662272 | − | 0.0439389i | ||||
\(330\) | −9.22596e7 | − | 1.35320e8i | −2.56726 | − | 3.76548i | ||||
\(331\) | 5.04972e6 | − | 1.63708e7i | 0.139246 | − | 0.451425i | −0.858910 | − | 0.512127i | \(-0.828858\pi\) |
0.998156 | + | 0.0607021i | \(0.0193340\pi\) | |||||||
\(332\) | 208187. | + | 2.77806e6i | 0.00568904 | + | 0.0759150i | ||||
\(333\) | 5.19134e6 | + | 4.13996e6i | 0.140588 | + | 0.112115i | ||||
\(334\) | 2.12919e7 | + | 6.90265e7i | 0.571444 | + | 1.85258i | ||||
\(335\) | 1.65787e7 | − | 6.50667e6i | 0.440978 | − | 0.173071i | ||||
\(336\) | 1.00193e7 | + | 4.38973e7i | 0.264130 | + | 1.15723i | ||||
\(337\) | −1.07783e7 | + | 1.86686e7i | −0.281619 | + | 0.487779i | −0.971784 | − | 0.235874i | \(-0.924205\pi\) |
0.690164 | + | 0.723653i | \(0.257538\pi\) | |||||||
\(338\) | −2.41050e7 | + | 1.39171e7i | −0.624249 | + | 0.360410i | ||||
\(339\) | −1.34308e7 | + | 1.24620e7i | −0.344750 | + | 0.319881i | ||||
\(340\) | −1.10219e7 | + | 8.78970e6i | −0.280428 | + | 0.223634i | ||||
\(341\) | −4.29490e7 | − | 2.92821e7i | −1.08315 | − | 0.738481i | ||||
\(342\) | 9.55537e7 | + | 4.60162e7i | 2.38874 | + | 1.15036i | ||||
\(343\) | − | 3.53223e7i | − | 0.875319i | ||||||
\(344\) | 4.69603e6 | − | 3.31749e7i | 0.115360 | − | 0.814957i | ||||
\(345\) | −5.95856e7 | −1.45105 | ||||||||
\(346\) | −2.58867e6 | + | 5.37542e6i | −0.0624954 | + | 0.129773i | ||||
\(347\) | 9.20752e6 | − | 1.35049e7i | 0.220371 | − | 0.323225i | −0.700094 | − | 0.714051i | \(-0.746858\pi\) |
0.920464 | + | 0.390826i | \(0.127811\pi\) | |||||||
\(348\) | −1.83447e7 | − | 2.30035e7i | −0.435283 | − | 0.545828i | ||||
\(349\) | 3.30994e7 | + | 3.56726e7i | 0.778652 | + | 0.839187i | 0.990414 | − | 0.138134i | \(-0.0441105\pi\) |
−0.211762 | + | 0.977321i | \(0.567920\pi\) | |||||||
\(350\) | 6.13697e6 | + | 1.06296e7i | 0.143136 | + | 0.247920i | ||||
\(351\) | −8.60165e7 | − | 4.96616e7i | −1.98912 | − | 1.14842i | ||||
\(352\) | −3.71217e7 | + | 8.47279e6i | −0.851138 | + | 0.194267i | ||||
\(353\) | 9.88601e6 | + | 2.51891e7i | 0.224749 | + | 0.572650i | 0.998119 | − | 0.0613042i | \(-0.0195260\pi\) |
−0.773371 | + | 0.633954i | \(0.781431\pi\) | |||||||
\(354\) | 5.02842e7 | − | 1.55106e7i | 1.13350 | − | 0.349639i | ||||
\(355\) | 3.61732e7 | − | 4.53598e7i | 0.808541 | − | 1.01388i | ||||
\(356\) | 527267. | − | 39513.2i | 0.0116864 | − | 0.000875774i | ||||
\(357\) | −4.67368e7 | − | 1.44164e7i | −1.02720 | − | 0.316849i | ||||
\(358\) | 4.93030e6 | − | 3.36142e6i | 0.107454 | − | 0.0732611i | ||||
\(359\) | −6.62872e6 | + | 999119.i | −0.143267 | + | 0.0215940i | −0.220284 | − | 0.975436i | \(-0.570698\pi\) |
0.0770171 | + | 0.997030i | \(0.475460\pi\) | |||||||
\(360\) | −3.07479e7 | + | 1.34715e8i | −0.659034 | + | 2.88742i | ||||
\(361\) | −1.22473e7 | − | 1.13638e7i | −0.260326 | − | 0.241547i | ||||
\(362\) | 9.72347e6 | + | 728673.i | 0.204972 | + | 0.0153606i | ||||
\(363\) | 1.55414e8 | + | 6.09954e7i | 3.24915 | + | 1.27520i | ||||
\(364\) | −581619. | + | 3.85879e6i | −0.0120596 | + | 0.0800105i | ||||
\(365\) | 5.65901e7 | − | 2.72523e7i | 1.16375 | − | 0.560435i | ||||
\(366\) | −5.68119e6 | − | 1.17971e7i | −0.115877 | − | 0.240620i | ||||
\(367\) | −5.42843e7 | − | 8.18204e6i | −1.09819 | − | 0.165525i | −0.425142 | − | 0.905127i | \(-0.639776\pi\) |
−0.673045 | + | 0.739602i | \(0.735014\pi\) | |||||||
\(368\) | −1.29889e7 | + | 3.30952e7i | −0.260633 | + | 0.664082i | ||||
\(369\) | 5.32384e6 | − | 7.10417e7i | 0.105961 | − | 1.41395i | ||||
\(370\) | 2.92516e6 | − | 3.15257e6i | 0.0577490 | − | 0.0622386i | ||||
\(371\) | −9.68775e6 | − | 2.21117e6i | −0.189715 | − | 0.0433012i | ||||
\(372\) | −3.23418e6 | − | 2.14574e7i | −0.0628255 | − | 0.416820i | ||||
\(373\) | 1.49641e7 | + | 2.19482e7i | 0.288352 | + | 0.422935i | 0.942895 | − | 0.333090i | \(-0.108091\pi\) |
−0.654543 | + | 0.756025i | \(0.727139\pi\) | |||||||
\(374\) | 3.12883e7 | − | 1.01434e8i | 0.598090 | − | 1.93896i | ||||
\(375\) | −4.72110e6 | − | 6.29987e7i | −0.0895260 | − | 1.19464i | ||||
\(376\) | −3.03847e6 | − | 2.42310e6i | −0.0571599 | − | 0.0455835i | ||||
\(377\) | 1.23874e7 | + | 4.01591e7i | 0.231184 | + | 0.749480i | ||||
\(378\) | 1.08443e8 | − | 4.25608e7i | 2.00783 | − | 0.788014i | ||||
\(379\) | −1.49987e7 | − | 6.57134e7i | −0.275508 | − | 1.20708i | −0.903406 | − | 0.428786i | \(-0.858942\pi\) |
0.627898 | − | 0.778296i | \(-0.283916\pi\) | |||||||
\(380\) | 7.29085e6 | − | 1.26281e7i | 0.132870 | − | 0.230138i | ||||
\(381\) | −1.05053e8 | + | 6.06526e7i | −1.89948 | + | 1.09667i | ||||
\(382\) | 3.71420e7 | − | 3.44627e7i | 0.666308 | − | 0.618244i | ||||
\(383\) | 2.88562e7 | − | 2.30120e7i | 0.513621 | − | 0.409599i | −0.332084 | − | 0.943250i | \(-0.607752\pi\) |
0.845705 | + | 0.533651i | \(0.179180\pi\) | |||||||
\(384\) | 1.11941e8 | + | 7.63203e7i | 1.97696 | + | 1.34787i | ||||
\(385\) | −5.24775e7 | − | 2.52718e7i | −0.919582 | − | 0.442848i | ||||
\(386\) | 5.07912e7i | 0.883135i | ||||||||
\(387\) | −1.69834e8 | + | 1.52520e6i | −2.93016 | + | 0.0263143i | ||||
\(388\) | −6.31810e6 | −0.108166 | ||||||||
\(389\) | −4.64893e7 | + | 9.65359e7i | −0.789776 | + | 1.63999i | −0.0215832 | + | 0.999767i | \(0.506871\pi\) |
−0.768192 | + | 0.640219i | \(0.778844\pi\) | |||||||
\(390\) | −5.50122e7 | + | 8.06881e7i | −0.927396 | + | 1.36024i | ||||
\(391\) | −2.40788e7 | − | 3.01938e7i | −0.402813 | − | 0.505112i | ||||
\(392\) | −2.52833e7 | − | 2.72489e7i | −0.419736 | − | 0.452367i | ||||
\(393\) | 3.81243e7 | + | 6.60332e7i | 0.628093 | + | 1.08789i | ||||
\(394\) | −6.09698e7 | − | 3.52010e7i | −0.996842 | − | 0.575527i | ||||
\(395\) | 5.40115e7 | − | 1.23278e7i | 0.876386 | − | 0.200029i | ||||
\(396\) | 2.97667e7 | + | 7.58443e7i | 0.479341 | + | 1.22134i | ||||
\(397\) | −7.05933e7 | + | 2.17752e7i | −1.12822 | + | 0.348009i | −0.802022 | − | 0.597294i | \(-0.796242\pi\) |
−0.326194 | + | 0.945303i | \(0.605766\pi\) | |||||||
\(398\) | −9.68177e6 | + | 1.21406e7i | −0.153570 | + | 0.192570i | ||||
\(399\) | 5.04479e7 | − | 3.78055e6i | 0.794189 | − | 0.0595163i | ||||
\(400\) | 3.71760e7 | + | 1.14673e7i | 0.580876 | + | 0.179176i | ||||
\(401\) | 3.15424e7 | − | 2.15052e7i | 0.489171 | − | 0.333511i | −0.293487 | − | 0.955963i | \(-0.594816\pi\) |
0.782658 | + | 0.622452i | \(0.213863\pi\) | |||||||
\(402\) | −5.53561e7 | + | 8.34359e6i | −0.852094 | + | 0.128432i | ||||
\(403\) | −6.89709e6 | + | 3.02181e7i | −0.105378 | + | 0.461692i | ||||
\(404\) | −1.84849e7 | − | 1.71515e7i | −0.280333 | − | 0.260111i | ||||
\(405\) | 3.78765e8 | + | 2.83845e7i | 5.70170 | + | 0.427283i | ||||
\(406\) | −4.58850e7 | − | 1.80085e7i | −0.685635 | − | 0.269092i | ||||
\(407\) | −1.02452e6 | + | 6.79727e6i | −0.0151963 | + | 0.100821i | ||||
\(408\) | −1.08226e8 | + | 5.21190e7i | −1.59350 | + | 0.767389i | ||||
\(409\) | 2.83412e7 | + | 5.88512e7i | 0.414237 | + | 0.860171i | 0.998807 | + | 0.0488285i | \(0.0155488\pi\) |
−0.584570 | + | 0.811343i | \(0.698737\pi\) | |||||||
\(410\) | −4.56263e7 | − | 6.87706e6i | −0.662009 | − | 0.0997818i | ||||
\(411\) | 4.73167e7 | − | 1.20561e8i | 0.681537 | − | 1.73653i | ||||
\(412\) | −2.10305e6 | + | 2.80632e7i | −0.0300717 | + | 0.401278i | ||||
\(413\) | 1.27290e7 | − | 1.37186e7i | 0.180694 | − | 0.194742i | ||||
\(414\) | 1.36139e8 | + | 3.10728e7i | 1.91859 | + | 0.437905i | ||||
\(415\) | 3.69529e6 | + | 2.45167e7i | 0.0517016 | + | 0.343018i | ||||
\(416\) | 1.27896e7 | + | 1.87589e7i | 0.177655 | + | 0.260572i | ||||
\(417\) | −2.65767e7 | + | 8.61597e7i | −0.366517 | + | 1.18822i | ||||
\(418\) | 8.20501e6 | + | 1.09488e8i | 0.112344 | + | 1.49913i | ||||
\(419\) | −8.56138e7 | − | 6.82747e7i | −1.16386 | − | 0.928149i | −0.165548 | − | 0.986202i | \(-0.552939\pi\) |
−0.998314 | + | 0.0580527i | \(0.981511\pi\) | |||||||
\(420\) | −7.16692e6 | − | 2.32346e7i | −0.0967352 | − | 0.313608i | ||||
\(421\) | 9.31756e7 | − | 3.65687e7i | 1.24869 | − | 0.490076i | 0.353367 | − | 0.935485i | \(-0.385037\pi\) |
0.895327 | + | 0.445409i | \(0.146942\pi\) | |||||||
\(422\) | 1.66472e7 | + | 7.29362e7i | 0.221516 | + | 0.970523i | ||||
\(423\) | −9.84997e6 | + | 1.70606e7i | −0.130141 | + | 0.225411i | ||||
\(424\) | −2.11353e7 | + | 1.22025e7i | −0.277275 | + | 0.160085i | ||||
\(425\) | −3.09788e7 | + | 2.87441e7i | −0.403550 | + | 0.374440i | ||||
\(426\) | −1.42579e8 | + | 1.13703e8i | −1.84427 | + | 1.47076i | ||||
\(427\) | −3.84749e6 | − | 2.62318e6i | −0.0494190 | − | 0.0336933i | ||||
\(428\) | −2.33720e7 | − | 1.12553e7i | −0.298101 | − | 0.143558i | ||||
\(429\) | − | 1.56094e8i | − | 1.97704i | ||||||
\(430\) | −7.23513e6 | + | 1.09765e8i | −0.0909999 | + | 1.38057i | ||||
\(431\) | 1.06533e8 | 1.33062 | 0.665309 | − | 0.746568i | \(-0.268300\pi\) | ||||
0.665309 | + | 0.746568i | \(0.268300\pi\) | |||||||
\(432\) | 1.60214e8 | − | 3.32687e8i | 1.98723 | − | 4.12653i | ||||
\(433\) | 2.61965e7 | − | 3.84232e7i | 0.322686 | − | 0.473293i | −0.630281 | − | 0.776367i | \(-0.717060\pi\) |
0.952967 | + | 0.303074i | \(0.0980128\pi\) | |||||||
\(434\) | −2.26665e7 | − | 2.84229e7i | −0.277278 | − | 0.347695i | ||||
\(435\) | −1.78107e8 | − | 1.91954e8i | −2.16378 | − | 2.33200i | ||||
\(436\) | −1.01558e7 | − | 1.75904e7i | −0.122534 | − | 0.212235i | ||||
\(437\) | 3.45939e7 | + | 1.99728e7i | 0.414529 | + | 0.239328i | ||||
\(438\) | −1.92480e8 | + | 4.39323e7i | −2.29068 | + | 0.522832i | ||||
\(439\) | 8.66946e6 | + | 2.20894e7i | 0.102470 | + | 0.261090i | 0.972910 | − | 0.231185i | \(-0.0742604\pi\) |
−0.870439 | + | 0.492276i | \(0.836165\pi\) | |||||||
\(440\) | −1.36696e8 | + | 4.21650e7i | −1.60471 | + | 0.494987i | ||||
\(441\) | −1.17481e8 | + | 1.47316e8i | −1.36978 | + | 1.71765i | ||||
\(442\) | −6.31178e7 | + | 4.73002e6i | −0.730945 | + | 0.0547768i | ||||
\(443\) | 3.40262e7 | + | 1.04957e7i | 0.391384 | + | 0.120726i | 0.484200 | − | 0.874957i | \(-0.339111\pi\) |
−0.0928163 | + | 0.995683i | \(0.529587\pi\) | |||||||
\(444\) | −2.37097e6 | + | 1.61650e6i | −0.0270880 | + | 0.0184683i | ||||
\(445\) | 4.65318e6 | − | 701354.i | 0.0528043 | − | 0.00795897i | ||||
\(446\) | 2.19158e7 | − | 9.60195e7i | 0.247032 | − | 1.08232i | ||||
\(447\) | 2.57695e7 | + | 2.39106e7i | 0.288525 | + | 0.267712i | ||||
\(448\) | 2.71301e7 | + | 2.03312e6i | 0.301729 | + | 0.0226115i | ||||
\(449\) | −8.96140e7 | − | 3.51709e7i | −0.990004 | − | 0.388548i | −0.185596 | − | 0.982626i | \(-0.559422\pi\) |
−0.804407 | + | 0.594078i | \(0.797517\pi\) | |||||||
\(450\) | 2.27742e7 | − | 1.51097e8i | 0.249923 | − | 1.65813i | ||||
\(451\) | 6.64485e7 | − | 3.19999e7i | 0.724362 | − | 0.348834i | ||||
\(452\) | −2.56142e6 | − | 5.31884e6i | −0.0277374 | − | 0.0575973i | ||||
\(453\) | −6.95053e7 | − | 1.04762e7i | −0.747693 | − | 0.112697i | ||||
\(454\) | 3.16013e7 | − | 8.05189e7i | 0.337705 | − | 0.860459i | ||||
\(455\) | −2.59541e6 | + | 3.46333e7i | −0.0275532 | + | 0.367672i | ||||
\(456\) | 8.45095e7 | − | 9.10796e7i | 0.891274 | − | 0.960564i | ||||
\(457\) | 1.21973e8 | + | 2.78395e7i | 1.27795 | + | 0.291684i | 0.807040 | − | 0.590496i | \(-0.201068\pi\) |
0.470912 | + | 0.882180i | \(0.343925\pi\) | |||||||
\(458\) | 1.71783e7 | + | 1.13971e8i | 0.178807 | + | 1.18631i | ||||
\(459\) | 2.25950e8 | + | 3.31407e8i | 2.33654 | + | 3.42708i | ||||
\(460\) | 5.65903e6 | − | 1.83461e7i | 0.0581391 | − | 0.188482i | ||||
\(461\) | 4.58071e6 | + | 6.11253e7i | 0.0467552 | + | 0.623905i | 0.970532 | + | 0.240973i | \(0.0774665\pi\) |
−0.923777 | + | 0.382932i | \(0.874914\pi\) | |||||||
\(462\) | 1.43139e8 | + | 1.14150e8i | 1.45156 | + | 1.15758i | ||||
\(463\) | 4.07379e7 | + | 1.32069e8i | 0.410446 | + | 1.33063i | 0.891134 | + | 0.453741i | \(0.149911\pi\) |
−0.480688 | + | 0.876892i | \(0.659613\pi\) | |||||||
\(464\) | −1.45441e8 | + | 5.70813e7i | −1.45590 | + | 0.571399i | ||||
\(465\) | −4.29742e7 | − | 1.88282e8i | −0.427414 | − | 1.87262i | ||||
\(466\) | 1.04421e8 | − | 1.80862e8i | 1.03188 | − | 1.78726i | ||||
\(467\) | 1.68776e8 | − | 9.74431e7i | 1.65715 | − | 0.956755i | 0.683126 | − | 0.730300i | \(-0.260620\pi\) |
0.974022 | − | 0.226454i | \(-0.0727134\pi\) | |||||||
\(468\) | 3.56135e7 | − | 3.30445e7i | 0.347437 | − | 0.322375i | ||||
\(469\) | −1.55655e7 | + | 1.24131e7i | −0.150885 | + | 0.120326i | ||||
\(470\) | 1.05423e7 | + | 7.18760e6i | 0.101541 | + | 0.0692293i | ||||
\(471\) | −1.64753e8 | − | 7.93409e7i | −1.57678 | − | 0.759337i | ||||
\(472\) | − | 4.59623e7i | − | 0.437095i | ||||||
\(473\) | −8.92777e7 | − | 1.51476e8i | −0.843645 | − | 1.43139i | ||||
\(474\) | −1.74140e8 | −1.63517 | ||||||||
\(475\) | 1.89656e7 | − | 3.93825e7i | 0.176964 | − | 0.367470i | ||||
\(476\) | 8.87748e6 | − | 1.30209e7i | 0.0823131 | − | 0.120731i | ||||
\(477\) | 7.71312e7 | + | 9.67194e7i | 0.710681 | + | 0.891166i | ||||
\(478\) | 1.31691e8 | + | 1.41929e8i | 1.20579 | + | 1.29953i | ||||
\(479\) | −4.81120e7 | − | 8.33325e7i | −0.437771 | − | 0.758242i | 0.559746 | − | 0.828664i | \(-0.310899\pi\) |
−0.997517 | + | 0.0704223i | \(0.977565\pi\) | |||||||
\(480\) | −1.22511e8 | − | 7.07318e7i | −1.10777 | − | 0.639574i | ||||
\(481\) | 3.99606e6 | − | 912075.i | 0.0359085 | − | 0.00819588i | ||||
\(482\) | −4.97745e7 | − | 1.26823e8i | −0.444494 | − | 1.13255i | ||||
\(483\) | 6.36495e7 | − | 1.96333e7i | 0.564876 | − | 0.174241i | ||||
\(484\) | −3.35403e7 | + | 4.20582e7i | −0.295822 | + | 0.370949i | ||||
\(485\) | −5.60727e7 | + | 4.20207e6i | −0.491503 | + | 0.0368331i | ||||
\(486\) | −6.67909e8 | − | 2.06023e8i | −5.81846 | − | 1.79476i | ||||
\(487\) | −5.01000e7 | + | 3.41576e7i | −0.433762 | + | 0.295734i | −0.760448 | − | 0.649399i | \(-0.775020\pi\) |
0.326686 | + | 0.945133i | \(0.394068\pi\) | |||||||
\(488\) | −1.13089e7 | + | 1.70455e6i | −0.0973111 | + | 0.0146673i | ||||
\(489\) | −4.98583e7 | + | 2.18444e8i | −0.426394 | + | 1.86815i | ||||
\(490\) | 8.94615e7 | + | 8.30081e7i | 0.760410 | + | 0.705557i | ||||
\(491\) | 4.25047e7 | + | 3.18529e6i | 0.359081 | + | 0.0269094i | 0.253050 | − | 0.967453i | \(-0.418566\pi\) |
0.106032 | + | 0.994363i | \(0.466185\pi\) | |||||||
\(492\) | 2.86599e7 | + | 1.12482e7i | 0.240646 | + | 0.0944467i | ||||
\(493\) | 2.52950e7 | − | 1.67821e8i | 0.211103 | − | 1.40058i | ||||
\(494\) | 5.89849e7 | − | 2.84056e7i | 0.489283 | − | 0.235626i | ||||
\(495\) | 3.14620e8 | + | 6.53316e8i | 2.59401 | + | 5.38651i | ||||
\(496\) | −1.13944e8 | − | 1.71743e7i | −0.933785 | − | 0.140745i | ||||
\(497\) | −2.36944e7 | + | 6.03724e7i | −0.193009 | + | 0.491778i | ||||
\(498\) | 5.82395e6 | − | 7.77153e7i | 0.0471552 | − | 0.629243i | ||||
\(499\) | −7.02309e7 | + | 7.56909e7i | −0.565232 | + | 0.609175i | −0.949393 | − | 0.314091i | \(-0.898300\pi\) |
0.384161 | + | 0.923266i | \(0.374491\pi\) | |||||||
\(500\) | 1.98454e7 | + | 4.52958e6i | 0.158763 | + | 0.0362366i | ||||
\(501\) | −6.39342e7 | − | 4.24175e8i | −0.508417 | − | 3.37312i | ||||
\(502\) | 6.94999e7 | + | 1.01938e8i | 0.549381 | + | 0.805793i | ||||
\(503\) | 2.26293e7 | − | 7.33625e7i | 0.177815 | − | 0.576461i | −0.822159 | − | 0.569258i | \(-0.807231\pi\) |
0.999974 | − | 0.00720387i | \(-0.00229308\pi\) | |||||||
\(504\) | −1.15433e7 | − | 1.54035e8i | −0.0901650 | − | 1.20317i | ||||
\(505\) | −1.75460e8 | − | 1.39925e8i | −1.36240 | − | 1.08648i | ||||
\(506\) | 4.26106e7 | + | 1.38140e8i | 0.328901 | + | 1.06627i | ||||
\(507\) | 1.53865e8 | − | 6.03875e7i | 1.18063 | − | 0.463365i | ||||
\(508\) | −8.69740e6 | − | 3.81058e7i | −0.0663435 | − | 0.290670i | ||||
\(509\) | 9.12785e7 | − | 1.58099e8i | 0.692174 | − | 1.19888i | −0.278951 | − | 0.960305i | \(-0.589987\pi\) |
0.971124 | − | 0.238574i | \(-0.0766801\pi\) | |||||||
\(510\) | 3.41539e8 | − | 1.97187e8i | 2.57472 | − | 1.48651i | ||||
\(511\) | −5.14701e7 | + | 4.77573e7i | −0.385738 | + | 0.357912i | ||||
\(512\) | 3.73818e7 | − | 2.98110e7i | 0.278516 | − | 0.222109i | ||||
\(513\) | −3.42788e8 | − | 2.33709e8i | −2.53906 | − | 1.73110i | ||||
\(514\) | 2.67592e8 | + | 1.28865e8i | 1.97053 | + | 0.948958i | ||||
\(515\) | 2.50458e8i | 1.83364i | ||||||||
\(516\) | 2.10042e7 | − | 7.03303e7i | 0.152883 | − | 0.511910i | ||||
\(517\) | −2.03944e7 | −0.147584 | ||||||||
\(518\) | −2.08590e6 | + | 4.33141e6i | −0.0150073 | + | 0.0311631i | ||||
\(519\) | 1.99586e7 | − | 2.92739e7i | 0.142767 | − | 0.209401i | ||||
\(520\) | 5.31823e7 | + | 6.66885e7i | 0.378231 | + | 0.474287i | ||||
\(521\) | 1.06241e8 | + | 1.14500e8i | 0.751240 | + | 0.809644i | 0.986753 | − | 0.162227i | \(-0.0518678\pi\) |
−0.235514 | + | 0.971871i | \(0.575677\pi\) | |||||||
\(522\) | 3.06832e8 | + | 5.31449e8i | 2.15719 | + | 3.73637i | ||||
\(523\) | 3.19356e7 | + | 1.84380e7i | 0.223239 | + | 0.128887i | 0.607449 | − | 0.794359i | \(-0.292193\pi\) |
−0.384210 | + | 0.923246i | \(0.625526\pi\) | |||||||
\(524\) | −2.39521e7 | + | 5.46691e6i | −0.166475 | + | 0.0379969i | ||||
\(525\) | −2.66290e7 | − | 6.78495e7i | −0.184025 | − | 0.468887i | ||||
\(526\) | −1.16030e8 | + | 3.57904e7i | −0.797282 | + | 0.245929i | ||||
\(527\) | 7.80422e7 | − | 9.78618e7i | 0.533209 | − | 0.668623i | ||||
\(528\) | 5.78689e8 | − | 4.33667e7i | 3.93137 | − | 0.294615i | ||||
\(529\) | −9.12012e7 | − | 2.81318e7i | −0.616075 | − | 0.190034i | ||||
\(530\) | 6.62018e7 | − | 4.51356e7i | 0.444675 | − | 0.303174i | ||||
\(531\) | −2.30381e8 | + | 3.47243e7i | −1.53873 | + | 0.231927i | ||||
\(532\) | −3.62718e6 | + | 1.58917e7i | −0.0240898 | + | 0.105545i | ||||
\(533\) | −3.22372e7 | − | 2.99118e7i | −0.212900 | − | 0.197543i | ||||
\(534\) | −1.47501e7 | − | 1.10537e6i | −0.0968659 | − | 0.00725910i | ||||
\(535\) | −2.14910e8 | − | 8.43461e7i | −1.40345 | − | 0.550813i | ||||
\(536\) | −7.28764e6 | + | 4.83503e7i | −0.0473252 | + | 0.313982i | ||||
\(537\) | −3.19263e7 | + | 1.53749e7i | −0.206170 | + | 0.0992863i | ||||
\(538\) | 8.39536e6 | + | 1.74331e7i | 0.0539129 | + | 0.111951i | ||||
\(539\) | −1.92888e8 | − | 2.90732e7i | −1.23180 | − | 0.185664i | ||||
\(540\) | −7.28501e7 | + | 1.85619e8i | −0.462646 | + | 1.17880i | ||||
\(541\) | −1.49695e7 | + | 1.99754e8i | −0.0945400 | + | 1.26155i | 0.725090 | + | 0.688654i | \(0.241798\pi\) |
−0.819630 | + | 0.572894i | \(0.805821\pi\) | |||||||
\(542\) | −4.76663e7 | + | 5.13720e7i | −0.299373 | + | 0.322648i | ||||
\(543\) | −5.64522e7 | − | 1.28849e7i | −0.352600 | − | 0.0804785i | ||||
\(544\) | −1.36652e7 | − | 9.06630e7i | −0.0848830 | − | 0.563162i | ||||
\(545\) | −1.01831e8 | − | 1.49359e8i | −0.629061 | − | 0.922663i | ||||
\(546\) | 3.21777e7 | − | 1.04318e8i | 0.197687 | − | 0.640884i | ||||
\(547\) | −1.70459e7 | − | 2.27461e8i | −0.104150 | − | 1.38978i | −0.767298 | − | 0.641291i | \(-0.778399\pi\) |
0.663148 | − | 0.748488i | \(-0.269220\pi\) | |||||||
\(548\) | 3.26264e7 | + | 2.60187e7i | 0.198256 | + | 0.158104i | ||||
\(549\) | 1.70877e7 | + | 5.53970e7i | 0.103268 | + | 0.334788i | ||||
\(550\) | 1.47255e8 | − | 5.77935e7i | 0.885082 | − | 0.347369i | ||||
\(551\) | 3.90625e7 | + | 1.71144e8i | 0.233510 | + | 1.02307i | ||||
\(552\) | 8.17953e7 | − | 1.41674e8i | 0.486308 | − | 0.842309i | ||||
\(553\) | −5.36333e7 | + | 3.09652e7i | −0.317146 | + | 0.183104i | ||||
\(554\) | −1.23483e7 | + | 1.14576e7i | −0.0726237 | + | 0.0673849i | ||||
\(555\) | −1.99671e7 | + | 1.59232e7i | −0.116798 | + | 0.0931434i | ||||
\(556\) | −2.40041e7 | − | 1.63657e7i | −0.139656 | − | 0.0952161i | ||||
\(557\) | 2.36859e8 | + | 1.14065e8i | 1.37064 | + | 0.660066i | 0.966982 | − | 0.254844i | \(-0.0820240\pi\) |
0.403659 | + | 0.914910i | \(0.367738\pi\) | |||||||
\(558\) | 4.52590e8i | 2.60497i | ||||||||
\(559\) | −6.46291e7 | + | 8.25524e7i | −0.369992 | + | 0.472600i | ||||
\(560\) | −1.29118e8 | −0.735227 | ||||||||
\(561\) | −2.73505e8 | + | 5.67939e8i | −1.54909 | + | 3.21672i | ||||
\(562\) | 1.55508e8 | − | 2.28088e8i | 0.876077 | − | 1.28497i | ||||
\(563\) | 1.09347e7 | + | 1.37117e7i | 0.0612750 | + | 0.0768364i | 0.811524 | − | 0.584318i | \(-0.198638\pi\) |
−0.750250 | + | 0.661155i | \(0.770067\pi\) | |||||||
\(564\) | −5.79079e6 | − | 6.24099e6i | −0.0322775 | − | 0.0347869i | ||||
\(565\) | −2.62699e7 | − | 4.55008e7i | −0.145651 | − | 0.252275i | ||||
\(566\) | −3.05319e8 | − | 1.76276e8i | −1.68385 | − | 0.972173i | ||||
\(567\) | −4.13950e8 | + | 9.44814e7i | −2.27090 | + | 0.518319i | ||||
\(568\) | 5.81934e7 | + | 1.48274e8i | 0.317562 | + | 0.809135i | ||||
\(569\) | 1.13094e8 | − | 3.48847e7i | 0.613905 | − | 0.189364i | 0.0278181 | − | 0.999613i | \(-0.491144\pi\) |
0.586086 | + | 0.810249i | \(0.300668\pi\) | |||||||
\(570\) | −2.54333e8 | + | 3.18923e8i | −1.37334 | + | 1.72211i | ||||
\(571\) | 1.77094e8 | − | 1.32714e7i | 0.951254 | − | 0.0712866i | 0.409945 | − | 0.912110i | \(-0.365548\pi\) |
0.541309 | + | 0.840824i | \(0.317929\pi\) | |||||||
\(572\) | 4.80606e7 | + | 1.48247e7i | 0.256804 | + | 0.0792134i | ||||
\(573\) | −2.48604e8 | + | 1.69495e8i | −1.32143 | + | 0.900935i | ||||
\(574\) | 5.10041e7 | − | 7.68763e6i | 0.269693 | − | 0.0406497i | ||||
\(575\) | 1.28067e7 | − | 5.61097e7i | 0.0673647 | − | 0.295144i | ||||
\(576\) | −2.48286e8 | − | 2.30376e8i | −1.29923 | − | 1.20551i | ||||
\(577\) | −1.14603e8 | − | 8.58829e6i | −0.596579 | − | 0.0447074i | −0.226981 | − | 0.973899i | \(-0.572885\pi\) |
−0.369598 | + | 0.929192i | \(0.620505\pi\) | |||||||
\(578\) | 3.54085e7 | + | 1.38968e7i | 0.183368 | + | 0.0719667i | ||||
\(579\) | 4.49541e7 | − | 2.98251e8i | 0.231598 | − | 1.53655i | ||||
\(580\) | 7.60170e7 | − | 3.66079e7i | 0.389607 | − | 0.187625i | ||||
\(581\) | −1.20255e7 | − | 2.49712e7i | −0.0613160 | − | 0.127324i | ||||
\(582\) | 1.74772e8 | + | 2.63427e7i | 0.886552 | + | 0.133626i | ||||
\(583\) | −4.67891e7 | + | 1.19217e8i | −0.236124 | + | 0.601633i | ||||
\(584\) | −1.28867e7 | + | 1.71962e8i | −0.0647000 | + | 0.863362i | ||||
\(585\) | 2.94090e8 | − | 3.16954e8i | 1.46897 | − | 1.58317i | ||||
\(586\) | 1.99079e8 | + | 4.54385e7i | 0.989311 | + | 0.225804i | ||||
\(587\) | 4.08278e7 | + | 2.70875e8i | 0.201856 | + | 1.33923i | 0.828530 | + | 0.559945i | \(0.189178\pi\) |
−0.626674 | + | 0.779282i | \(0.715584\pi\) | |||||||
\(588\) | −4.58719e7 | − | 6.72817e7i | −0.225639 | − | 0.330952i | ||||
\(589\) | −3.81615e7 | + | 1.23716e8i | −0.186758 | + | 0.605455i | ||||
\(590\) | 1.12767e7 | + | 1.50478e8i | 0.0549070 | + | 0.732683i | ||||
\(591\) | 3.26865e8 | + | 2.60666e8i | 1.58346 | + | 1.26277i | ||||
\(592\) | 4.49155e6 | + | 1.45613e7i | 0.0216487 | + | 0.0701833i | ||||
\(593\) | −4.93700e7 | + | 1.93763e7i | −0.236755 | + | 0.0929195i | −0.480752 | − | 0.876856i | \(-0.659636\pi\) |
0.243997 | + | 0.969776i | \(0.421541\pi\) | |||||||
\(594\) | −3.34101e8 | − | 1.46379e9i | −1.59411 | − | 6.98426i | ||||
\(595\) | 7.01271e7 | − | 1.21464e8i | 0.332916 | − | 0.576628i | ||||
\(596\) | −9.80937e6 | + | 5.66344e6i | −0.0463343 | + | 0.0267511i | ||||
\(597\) | 6.75976e7 | − | 6.27214e7i | 0.317694 | − | 0.294777i | ||||
\(598\) | 6.73932e7 | − | 5.37443e7i | 0.315147 | − | 0.251321i | ||||
\(599\) | 3.20243e8 | + | 2.18338e8i | 1.49004 | + | 1.01590i | 0.988577 | + | 0.150719i | \(0.0481589\pi\) |
0.501468 | + | 0.865176i | \(0.332793\pi\) | |||||||
\(600\) | −1.61285e8 | − | 7.76706e7i | −0.746688 | − | 0.359586i | ||||
\(601\) | − | 4.38577e7i | − | 0.202033i | −0.994885 | − | 0.101016i | \(-0.967791\pi\) | ||
0.994885 | − | 0.101016i | \(-0.0322095\pi\) | |||||||
\(602\) | −2.84386e7 | − | 1.19635e8i | −0.130352 | − | 0.548364i | ||||
\(603\) | 2.47857e8 | 1.13044 | ||||||||
\(604\) | 9.82672e6 | − | 2.04054e7i | 0.0445962 | − | 0.0926049i | ||||
\(605\) | −2.69696e8 | + | 3.95571e8i | −1.21789 | + | 1.78632i | ||||
\(606\) | 4.39822e8 | + | 5.51520e8i | 1.97633 | + | 2.47824i | ||||
\(607\) | 1.00319e8 | + | 1.08118e8i | 0.448554 | + | 0.483426i | 0.916332 | − | 0.400420i | \(-0.131136\pi\) |
−0.467778 | + | 0.883846i | \(0.654945\pi\) | |||||||
\(608\) | 4.74178e7 | + | 8.21301e7i | 0.210975 | + | 0.365419i | ||||
\(609\) | 2.53503e8 | + | 1.46360e8i | 1.12236 | + | 0.647992i | ||||
\(610\) | 3.66065e7 | − | 8.35521e6i | 0.161276 | − | 0.0368102i | ||||
\(611\) | 4.44280e6 | + | 1.13201e7i | 0.0194775 | + | 0.0496278i | ||||
\(612\) | −1.87477e8 | + | 5.78291e7i | −0.817889 | + | 0.252285i | ||||
\(613\) | 1.56998e8 | − | 1.96869e8i | 0.681573 | − | 0.854665i | −0.313925 | − | 0.949448i | \(-0.601644\pi\) |
0.995498 | + | 0.0947827i | \(0.0302156\pi\) | |||||||
\(614\) | −2.87966e8 | + | 2.15800e7i | −1.24404 | + | 0.0932281i | ||||
\(615\) | 2.61836e8 | + | 8.07656e7i | 1.12565 | + | 0.347217i | ||||
\(616\) | 1.32125e8 | − | 9.00815e7i | 0.565254 | − | 0.385384i | ||||
\(617\) | −3.55456e7 | + | 5.35763e6i | −0.151332 | + | 0.0228096i | −0.224271 | − | 0.974527i | \(-0.572000\pi\) |
0.0729394 | + | 0.997336i | \(0.476762\pi\) | |||||||
\(618\) | 1.75182e8 | − | 7.67522e8i | 0.742205 | − | 3.25181i | ||||
\(619\) | −2.09357e8 | − | 1.94255e8i | −0.882707 | − | 0.819032i | 0.101723 | − | 0.994813i | \(-0.467565\pi\) |
−0.984429 | + | 0.175781i | \(0.943755\pi\) | |||||||
\(620\) | 6.20526e7 | + | 4.65020e6i | 0.260366 | + | 0.0195117i | ||||
\(621\) | −5.08490e8 | − | 1.99568e8i | −2.12328 | − | 0.833327i | ||||
\(622\) | 6.27170e7 | − | 4.16100e8i | 0.260624 | − | 1.72913i | ||||
\(623\) | −4.73944e6 | + | 2.28240e6i | −0.0196003 | + | 0.00943902i | ||||
\(624\) | −1.50135e8 | − | 3.11759e8i | −0.617915 | − | 1.28311i | ||||
\(625\) | 3.01752e8 | + | 4.54818e7i | 1.23598 | + | 0.186294i | ||||
\(626\) | 5.80609e7 | − | 1.47937e8i | 0.236680 | − | 0.603050i | ||||
\(627\) | 4.87249e7 | − | 6.50188e8i | 0.197673 | − | 2.63777i | ||||
\(628\) | 4.00758e7 | − | 4.31915e7i | 0.161809 | − | 0.174389i | ||||
\(629\) | −1.61376e7 | − | 3.68329e6i | −0.0648464 | − | 0.0148008i | ||||
\(630\) | 7.55841e7 | + | 5.01468e8i | 0.302279 | + | 2.00549i | ||||
\(631\) | −2.48934e8 | − | 3.65120e8i | −0.990824 | − | 1.45327i | −0.888694 | − | 0.458501i | \(-0.848386\pi\) |
−0.102131 | − | 0.994771i | \(-0.532566\pi\) | |||||||
\(632\) | −4.48325e7 | + | 1.45343e8i | −0.177599 | + | 0.575763i | ||||
\(633\) | −3.32000e7 | − | 4.43023e8i | −0.130896 | − | 1.74669i | ||||
\(634\) | −3.77361e8 | − | 3.00935e8i | −1.48078 | − | 1.18088i | ||||
\(635\) | −1.02533e8 | − | 3.32402e8i | −0.400443 | − | 1.29820i | ||||
\(636\) | −4.97674e7 | + | 1.95323e7i | −0.193452 | + | 0.0759244i | ||||
\(637\) | 2.58822e7 | + | 1.13398e8i | 0.100134 | + | 0.438718i | ||||
\(638\) | −3.17648e8 | + | 5.50183e8i | −1.22316 | + | 2.11858i | ||||
\(639\) | 6.99244e8 | − | 4.03709e8i | 2.67995 | − | 1.54727i | ||||
\(640\) | −2.84800e8 | + | 2.64256e8i | −1.08643 | + | 1.00806i | ||||
\(641\) | −3.28052e8 | + | 2.61613e8i | −1.24557 | + | 0.993310i | −0.245859 | + | 0.969306i | \(0.579070\pi\) |
−0.999712 | + | 0.0240042i | \(0.992358\pi\) | |||||||
\(642\) | 5.99592e8 | + | 4.08795e8i | 2.26595 | + | 1.54490i | ||||
\(643\) | −2.01776e8 | − | 9.71704e7i | −0.758993 | − | 0.365512i | 0.0140204 | − | 0.999902i | \(-0.495537\pi\) |
−0.773013 | + | 0.634390i | \(0.781251\pi\) | |||||||
\(644\) | 2.14620e7i | 0.0803549i | ||||||||
\(645\) | 1.39636e8 | − | 6.38147e8i | 0.520376 | − | 2.37816i | ||||
\(646\) | −2.64385e8 | −0.980706 | ||||||||
\(647\) | −5.68866e7 | + | 1.18126e8i | −0.210037 | + | 0.436147i | −0.979198 | − | 0.202909i | \(-0.934961\pi\) |
0.769160 | + | 0.639056i | \(0.220675\pi\) | |||||||
\(648\) | −5.87433e8 | + | 8.61605e8i | −2.15890 | + | 3.16653i | ||||
\(649\) | −1.50383e8 | − | 1.88575e8i | −0.550131 | − | 0.689842i | ||||
\(650\) | −6.41575e7 | − | 6.91453e7i | −0.233618 | − | 0.251781i | ||||
\(651\) | 1.07943e8 | + | 1.86964e8i | 0.391249 | + | 0.677663i | ||||
\(652\) | −6.25225e7 | − | 3.60974e7i | −0.225576 | − | 0.130237i | ||||
\(653\) | 1.03067e8 | − | 2.35243e7i | 0.370151 | − | 0.0844846i | −0.0333989 | − | 0.999442i | \(-0.510633\pi\) |
0.403550 | + | 0.914957i | \(0.367776\pi\) | |||||||
\(654\) | 2.07591e8 | + | 5.28933e8i | 0.742122 | + | 1.89090i | ||||
\(655\) | −2.08937e8 | + | 6.44486e7i | −0.743519 | + | 0.229345i | ||||
\(656\) | 1.01936e8 | − | 1.27824e8i | 0.361090 | − | 0.452793i | ||||
\(657\) | 8.71675e8 | − | 6.53230e7i | 3.07368 | − | 0.230340i | ||||
\(658\) | −1.36296e7 | − | 4.20416e6i | −0.0478414 | − | 0.0147571i | ||||
\(659\) | −1.68537e8 | + | 1.14907e8i | −0.588896 | + | 0.401503i | −0.820783 | − | 0.571240i | \(-0.806462\pi\) |
0.231887 | + | 0.972743i | \(0.425510\pi\) | |||||||
\(660\) | −3.09877e8 | + | 4.67064e7i | −1.07785 | + | 0.162459i | ||||
\(661\) | −4.96681e7 | + | 2.17610e8i | −0.171978 | + | 0.753485i | 0.813205 | + | 0.581978i | \(0.197721\pi\) |
−0.985183 | + | 0.171508i | \(0.945136\pi\) | |||||||
\(662\) | −1.13199e8 | − | 1.05034e8i | −0.390185 | − | 0.362038i | ||||
\(663\) | 3.74820e8 | + | 2.80889e7i | 1.28612 | + | 0.0963816i | ||||
\(664\) | −6.33647e7 | − | 2.48688e7i | −0.216443 | − | 0.0849475i | ||||
\(665\) | −2.16217e7 | + | 1.43450e8i | −0.0735231 | + | 0.487794i | ||||
\(666\) | 5.39237e7 | − | 2.59683e7i | 0.182540 | − | 0.0879065i | ||||
\(667\) | 1.00285e8 | + | 2.08243e8i | 0.337954 | + | 0.701768i | ||||
\(668\) | 1.36674e8 | + | 2.06002e7i | 0.458517 | + | 0.0691103i | ||||
\(669\) | −2.13677e8 | + | 5.44439e8i | −0.713639 | + | 1.81832i | ||||
\(670\) | 1.19966e7 | − | 1.60084e8i | 0.0398874 | − | 0.532260i | ||||
\(671\) | −4.08214e7 | + | 4.39950e7i | −0.135120 | + | 0.145625i | ||||
\(672\) | 1.54172e8 | + | 3.51889e7i | 0.508041 | + | 0.115957i | ||||
\(673\) | 4.06607e7 | + | 2.69766e8i | 0.133392 | + | 0.884998i | 0.950993 | + | 0.309213i | \(0.100066\pi\) |
−0.817601 | + | 0.575785i | \(0.804696\pi\) | |||||||
\(674\) | 1.09456e8 | + | 1.60543e8i | 0.357488 | + | 0.524338i | ||||
\(675\) | −1.76189e8 | + | 5.71190e8i | −0.572884 | + | 1.85725i | ||||
\(676\) | 3.98000e6 | + | 5.31095e7i | 0.0128838 | + | 0.171922i | ||||
\(677\) | −2.27410e8 | − | 1.81353e8i | −0.732897 | − | 0.584466i | 0.184314 | − | 0.982867i | \(-0.440994\pi\) |
−0.917211 | + | 0.398401i | \(0.869565\pi\) | |||||||
\(678\) | 4.86781e7 | + | 1.57810e8i | 0.156187 | + | 0.506345i | ||||
\(679\) | 5.85124e7 | − | 2.29644e7i | 0.186913 | − | 0.0733579i | ||||
\(680\) | −7.66503e7 | − | 3.35827e8i | −0.243774 | − | 1.06804i | ||||
\(681\) | −2.56832e8 | + | 4.44845e8i | −0.813218 | + | 1.40854i | ||||
\(682\) | −4.05772e8 | + | 2.34272e8i | −1.27917 | + | 0.738530i | ||||
\(683\) | 3.50293e8 | − | 3.25025e8i | 1.09943 | − | 1.02013i | 0.0997502 | − | 0.995013i | \(-0.468196\pi\) |
0.999685 | − | 0.0251139i | \(-0.00799485\pi\) | |||||||
\(684\) | 1.58658e8 | − | 1.26525e8i | 0.495785 | − | 0.395375i | ||||
\(685\) | 3.06862e8 | + | 2.09215e8i | 0.954709 | + | 0.650909i | ||||
\(686\) | −2.86855e8 | − | 1.38142e8i | −0.888566 | − | 0.427911i | ||||
\(687\) | − | 6.84453e8i | − | 2.11093i | ||||||
\(688\) | −3.24003e8 | − | 2.16665e8i | −0.994909 | − | 0.665309i | ||||
\(689\) | 7.63650e7 | 0.233473 | ||||||||
\(690\) | −2.33033e8 | + | 4.83899e8i | −0.709367 | + | 1.47302i | ||||
\(691\) | 1.35815e8 | − | 1.99203e8i | 0.411635 | − | 0.603758i | −0.563299 | − | 0.826253i | \(-0.690468\pi\) |
0.974934 | + | 0.222496i | \(0.0714203\pi\) | |||||||
\(692\) | 7.11775e6 | + | 8.92538e6i | 0.0214795 | + | 0.0269345i | ||||
\(693\) | −5.51344e8 | − | 5.94207e8i | −1.65662 | − | 1.78541i | ||||
\(694\) | −7.36650e7 | − | 1.27591e8i | −0.220385 | − | 0.381719i | ||||
\(695\) | −2.23919e8 | − | 1.29280e8i | −0.667017 | − | 0.385103i | ||||
\(696\) | 7.00893e8 | − | 1.59974e8i | 2.07885 | − | 0.474485i | ||||
\(697\) | 6.48824e7 | + | 1.65318e8i | 0.191615 | + | 0.488226i | ||||
\(698\) | 4.19149e8 | − | 1.29290e8i | 1.23254 | − | 0.380189i | ||||
\(699\) | −7.73244e8 | + | 9.69617e8i | −2.26405 | + | 2.83902i | ||||
\(700\) | 2.34196e7 | − | 1.75505e6i | 0.0682786 | − | 0.00511678i | ||||
\(701\) | −3.03438e8 | − | 9.35984e7i | −0.880880 | − | 0.271715i | −0.178861 | − | 0.983874i | \(-0.557241\pi\) |
−0.702018 | + | 0.712159i | \(0.747718\pi\) | |||||||
\(702\) | −7.39708e8 | + | 5.04324e8i | −2.13820 | + | 1.45780i | ||||
\(703\) | 1.69298e7 | − | 2.55175e6i | 0.0487287 | − | 0.00734467i | ||||
\(704\) | 7.80251e7 | − | 3.41850e8i | 0.223623 | − | 0.979756i | ||||
\(705\) | −5.55437e7 | − | 5.15370e7i | −0.158514 | − | 0.147079i | ||||
\(706\) | 2.43226e8 | + | 1.82273e7i | 0.691188 | + | 0.0517974i | ||||
\(707\) | 2.33531e8 | + | 9.16543e7i | 0.660826 | + | 0.259355i | ||||
\(708\) | 1.50068e7 | − | 9.95635e7i | 0.0422852 | − | 0.280544i | ||||
\(709\) | 8.69270e7 | − | 4.18618e7i | 0.243902 | − | 0.117457i | −0.307940 | − | 0.951406i | \(-0.599639\pi\) |
0.551842 | + | 0.833949i | \(0.313925\pi\) | |||||||
\(710\) | −2.26900e8 | − | 4.71163e8i | −0.633957 | − | 1.31643i | ||||
\(711\) | 7.62388e8 | + | 1.14912e8i | 2.12113 | + | 0.319709i | ||||
\(712\) | −4.72001e6 | + | 1.20264e7i | −0.0130769 | + | 0.0333193i | ||||
\(713\) | −1.27389e7 | + | 1.69989e8i | −0.0351449 | + | 0.468977i | ||||
\(714\) | −2.99860e8 | + | 3.23172e8i | −0.823803 | + | 0.887849i | ||||
\(715\) | 4.36395e8 | + | 9.96042e7i | 1.19388 | + | 0.272496i | ||||
\(716\) | −1.70172e6 | − | 1.12902e7i | −0.00463605 | − | 0.0307582i | ||||
\(717\) | −6.47684e8 | − | 9.49979e8i | −1.75714 | − | 2.57725i | ||||
\(718\) | −1.78104e7 | + | 5.77398e7i | −0.0481171 | + | 0.155992i | ||||
\(719\) | −4.05186e7 | − | 5.40683e8i | −0.109010 | − | 1.45464i | −0.736722 | − | 0.676196i | \(-0.763627\pi\) |
0.627712 | − | 0.778446i | \(-0.283992\pi\) | |||||||
\(720\) | 1.25675e9 | + | 1.00223e9i | 3.36707 | + | 2.68515i | ||||
\(721\) | −8.25251e7 | − | 2.67540e8i | −0.220181 | − | 0.713810i | ||||
\(722\) | −1.40184e8 | + | 5.50182e7i | −0.372466 | + | 0.146182i | ||||
\(723\) | 1.80032e8 | + | 7.88774e8i | 0.476361 | + | 2.08707i | ||||
\(724\) | 9.32863e6 | − | 1.61577e7i | 0.0245812 | − | 0.0425758i | ||||
\(725\) | 2.19037e8 | − | 1.26461e8i | 0.574781 | − | 0.331850i | ||||
\(726\) | 1.10316e9 | − | 1.02358e9i | 2.88288 | − | 2.67492i | ||||
\(727\) | −2.41880e8 | + | 1.92893e8i | −0.629501 | + | 0.502010i | −0.885483 | − | 0.464671i | \(-0.846173\pi\) |
0.255982 | + | 0.966681i | \(0.417601\pi\) | |||||||
\(728\) | −7.87831e7 | − | 5.37134e7i | −0.204192 | − | 0.139216i | ||||
\(729\) | 2.11441e9 | + | 1.01824e9i | 5.45765 | + | 2.62827i | ||||
\(730\) | − | 5.66153e8i | − | 1.45534i | ||||||
\(731\) | 3.79796e8 | − | 1.87120e8i | 0.972294 | − | 0.479036i | ||||
\(732\) | −2.50540e7 | −0.0638768 | ||||||||
\(733\) | −2.60313e7 | + | 5.40546e7i | −0.0660974 | + | 0.137253i | −0.931400 | − | 0.363997i | \(-0.881412\pi\) |
0.865303 | + | 0.501250i | \(0.167126\pi\) | |||||||
\(734\) | −2.78748e8 | + | 4.08848e8i | −0.704893 | + | 1.03389i | ||||
\(735\) | −4.51858e8 | − | 5.66612e8i | −1.13799 | − | 1.42700i | ||||
\(736\) | 8.49303e7 | + | 9.15331e7i | 0.213024 | + | 0.229586i | ||||
\(737\) | 1.28297e8 | + | 2.22217e8i | 0.320490 | + | 0.555104i | ||||
\(738\) | −5.56114e8 | − | 3.21073e8i | −1.38355 | − | 0.798793i | ||||
\(739\) | −1.70316e8 | + | 3.88736e7i | −0.422010 | + | 0.0963210i | −0.428252 | − | 0.903660i | \(-0.640870\pi\) |
0.00624180 | + | 0.999981i | \(0.498013\pi\) | |||||||
\(740\) | −3.00635e6 | − | 7.66005e6i | −0.00741898 | − | 0.0189032i | ||||
\(741\) | −3.71507e8 | + | 1.14595e8i | −0.913086 | + | 0.281650i | ||||
\(742\) | −5.58449e7 | + | 7.00273e7i | −0.136701 | + | 0.171418i | ||||
\(743\) | 4.50664e8 | − | 3.37726e7i | 1.09872 | − | 0.0823375i | 0.486991 | − | 0.873407i | \(-0.338094\pi\) |
0.611727 | + | 0.791069i | \(0.290475\pi\) | |||||||
\(744\) | 5.06661e8 | + | 1.56284e8i | 1.23027 | + | 0.379487i | ||||
\(745\) | −8.32909e7 | + | 5.67867e7i | −0.201432 | + | 0.137334i | ||||
\(746\) | 2.36766e8 | − | 3.56868e7i | 0.570300 | − | 0.0859589i | ||||
\(747\) | −7.67804e7 | + | 3.36397e8i | −0.184199 | + | 0.807031i | ||||
\(748\) | −1.48890e8 | − | 1.38150e8i | −0.355763 | − | 0.330100i | ||||
\(749\) | 2.57360e8 | + | 1.92864e7i | 0.612484 | + | 0.0458994i | ||||
\(750\) | −5.30081e8 | − | 2.08041e8i | −1.25649 | − | 0.493135i | ||||
\(751\) | −4.12922e7 | + | 2.73956e8i | −0.0974872 | + | 0.646786i | 0.885710 | + | 0.464239i | \(0.153672\pi\) |
−0.983197 | + | 0.182547i | \(0.941566\pi\) | |||||||
\(752\) | −4.07327e7 | + | 1.96158e7i | −0.0957832 | + | 0.0461268i | ||||
\(753\) | −3.17888e8 | − | 6.60101e8i | −0.744542 | − | 1.54606i | ||||
\(754\) | 3.74581e8 | + | 5.64590e7i | 0.873840 | + | 0.131710i | ||||
\(755\) | 7.36402e7 | − | 1.87632e8i | 0.171109 | − | 0.435980i | ||||
\(756\) | 1.66578e7 | − | 2.22283e8i | 0.0385524 | − | 0.514447i | ||||
\(757\) | −4.32601e8 | + | 4.66234e8i | −0.997242 | + | 1.07477i | −4.07913e−5 | 1.00000i | \(0.500013\pi\) | |
−0.997201 | + | 0.0747708i | \(0.976177\pi\) | |||||||
\(758\) | −5.92322e8 | − | 1.35194e8i | −1.36004 | − | 0.310419i | ||||
\(759\) | −1.27949e8 | − | 8.48886e8i | −0.292625 | − | 1.94144i | ||||
\(760\) | 2.00707e8 | + | 2.94383e8i | 0.457216 | + | 0.670613i | ||||
\(761\) | 7.24920e7 | − | 2.35013e8i | 0.164489 | − | 0.533259i | −0.835377 | − | 0.549678i | \(-0.814750\pi\) |
0.999865 | + | 0.0164191i | \(0.00522659\pi\) | |||||||
\(762\) | 8.17107e7 | + | 1.09035e9i | 0.184678 | + | 2.46435i | ||||
\(763\) | 1.57990e8 | + | 1.25993e8i | 0.355677 | + | 0.283643i | ||||
\(764\) | −2.85761e7 | − | 9.26414e7i | −0.0640800 | − | 0.207742i | ||||
\(765\) | −1.62539e9 | + | 6.37918e8i | −3.63055 | + | 1.42489i | ||||
\(766\) | −7.40288e7 | − | 3.24341e8i | −0.164708 | − | 0.721632i | ||||
\(767\) | −7.19098e7 | + | 1.24551e8i | −0.159368 | + | 0.276034i | ||||
\(768\) | 5.87195e8 | − | 3.39017e8i | 1.29628 | − | 0.748408i | ||||
\(769\) | −3.21908e7 | + | 2.98687e7i | −0.0707868 | + | 0.0656805i | −0.714773 | − | 0.699357i | \(-0.753470\pi\) |
0.643986 | + | 0.765037i | \(0.277279\pi\) | |||||||
\(770\) | −4.10469e8 | + | 3.27338e8i | −0.899100 | + | 0.717008i | ||||
\(771\) | −1.45727e9 | − | 9.93550e8i | −3.17963 | − | 2.16784i | ||||
\(772\) | 8.75607e7 | + | 4.21670e7i | 0.190308 | + | 0.0916476i | ||||
\(773\) | 5.53648e8i | 1.19866i | 0.800503 | + | 0.599329i | \(0.204566\pi\) | ||||
−0.800503 | + | 0.599329i | \(0.795434\pi\) | |||||||
\(774\) | −6.51817e8 | + | 1.38520e9i | −1.40573 | + | 2.98737i | ||||
\(775\) | 1.86535e8 | 0.400733 | ||||||||
\(776\) | 6.69820e7 | − | 1.39090e8i | 0.143342 | − | 0.297652i | ||||
\(777\) | 1.60822e7 | − | 2.35883e7i | 0.0342834 | − | 0.0502845i | ||||
\(778\) | 6.02161e8 | + | 7.55085e8i | 1.27871 | + | 1.60346i | ||||
\(779\) | −1.24943e8 | − | 1.34656e8i | −0.264301 | − | 0.284849i | ||||
\(780\) | 9.34296e7 | + | 1.61825e8i | 0.196880 | + | 0.341006i | ||||
\(781\) | 7.23893e8 | + | 4.17940e8i | 1.51957 | + | 0.877326i | ||||
\(782\) | −3.39376e8 | + | 7.74603e7i | −0.709677 | + | 0.161979i | ||||
\(783\) | −8.77023e8 | − | 2.23462e9i | −1.82695 | − | 4.65498i | ||||
\(784\) | −4.13209e8 | + | 1.27458e8i | −0.857475 | + | 0.264496i | ||||
\(785\) | 3.26944e8 | − | 4.09975e8i | 0.675873 | − | 0.847518i | ||||
\(786\) | 6.85361e8 | − | 5.13607e7i | 1.41141 | − | 0.105770i | ||||
\(787\) | 4.76145e8 | + | 1.46871e8i | 0.976822 | + | 0.301310i | 0.741756 | − | 0.670670i | \(-0.233993\pi\) |
0.235066 | + | 0.971979i | \(0.424469\pi\) | |||||||
\(788\) | −1.11301e8 | + | 7.58840e7i | −0.227469 | + | 0.155086i | ||||
\(789\) | 7.13016e8 | − | 1.07470e8i | 1.45167 | − | 0.218804i | ||||
\(790\) | 1.11119e8 | − | 4.86845e8i | 0.225376 | − | 0.987436i | ||||
\(791\) | 4.30540e7 | + | 3.99483e7i | 0.0869929 | + | 0.0807176i | ||||
\(792\) | −1.98525e9 | − | 1.48774e8i | −3.99612 | − | 0.299468i | ||||
\(793\) | 3.33125e7 | + | 1.30742e7i | 0.0668017 | + | 0.0262177i | ||||
\(794\) | −9.92460e7 | + | 6.58454e8i | −0.198268 | + | 1.31542i | ||||
\(795\) | −4.28692e8 | + | 2.06447e8i | −0.853187 | + | 0.410873i | ||||
\(796\) | 1.28917e7 | + | 2.67698e7i | 0.0255605 | + | 0.0530770i | ||||
\(797\) | −1.34993e8 | − | 2.03469e7i | −0.266646 | − | 0.0401905i | 0.0143582 | − | 0.999897i | \(-0.495429\pi\) |
−0.281005 | + | 0.959706i | \(0.590668\pi\) | |||||||
\(798\) | 1.66595e8 | − | 4.24476e8i | 0.327833 | − | 0.835304i | ||||
\(799\) | 3.66994e6 | − | 4.89720e7i | 0.00719480 | − | 0.0960079i | ||||
\(800\) | 9.29368e7 | − | 1.00162e8i | 0.181517 | − | 0.195629i | ||||
\(801\) | 6.38470e7 | + | 1.45727e7i | 0.124235 | + | 0.0283557i | ||||
\(802\) | −5.12864e7 | − | 3.40263e8i | −0.0994211 | − | 0.659616i | ||||
\(803\) | 5.09767e8 | + | 7.47691e8i | 0.984521 | + | 1.44403i | ||||
\(804\) | −3.15730e7 | + | 1.02357e8i | −0.0607502 | + | 0.196947i | ||||
\(805\) | 1.42740e7 | + | 1.90474e8i | 0.0273627 | + | 0.365130i | ||||
\(806\) | 2.18430e8 | + | 1.74192e8i | 0.417164 | + | 0.332677i | ||||
\(807\) | −3.38687e7 | − | 1.09800e8i | −0.0644434 | − | 0.208920i | ||||
\(808\) | 5.73552e8 | − | 2.25103e8i | 1.08727 | − | 0.426723i | ||||
\(809\) | 2.71108e7 | + | 1.18780e8i | 0.0512032 | + | 0.224336i | 0.994055 | − | 0.108875i | \(-0.0347250\pi\) |
−0.942852 | + | 0.333211i | \(0.891868\pi\) | |||||||
\(810\) | 1.71183e9 | − | 2.96497e9i | 3.22110 | − | 5.57911i | ||||
\(811\) | 1.36640e8 | − | 7.88891e7i | 0.256162 | − | 0.147895i | −0.366420 | − | 0.930449i | \(-0.619417\pi\) |
0.622583 | + | 0.782554i | \(0.286083\pi\) | |||||||
\(812\) | −6.91394e7 | + | 6.41520e7i | −0.129139 | + | 0.119824i | ||||
\(813\) | 3.25369e8 | − | 2.59473e8i | 0.605487 | − | 0.482860i | ||||
\(814\) | 5.11943e7 | + | 3.49037e7i | 0.0949180 | + | 0.0647140i | ||||
\(815\) | −5.78891e8 | − | 2.78779e8i | −1.06936 | − | 0.514977i | ||||
\(816\) | 1.39738e9i | 2.57184i | ||||||||
\(817\) | −2.94972e8 | + | 3.23687e8i | −0.540898 | + | 0.593552i | ||||
\(818\) | 5.88774e8 | 1.07569 | ||||||||
\(819\) | −2.09712e8 | + | 4.35472e8i | −0.381744 | + | 0.792700i | ||||
\(820\) | −4.97347e7 | + | 7.29474e7i | −0.0902023 | + | 0.132302i | ||||
\(821\) | −3.64980e8 | − | 4.57670e8i | −0.659537 | − | 0.827033i | 0.333756 | − | 0.942660i | \(-0.391684\pi\) |
−0.993293 | + | 0.115626i | \(0.963113\pi\) | |||||||
\(822\) | −7.94035e8 | − | 8.55766e8i | −1.42963 | − | 1.54078i | ||||
\(823\) | 4.21818e7 | + | 7.30610e7i | 0.0756703 | + | 0.131065i | 0.901378 | − | 0.433034i | \(-0.142557\pi\) |
−0.825707 | + | 0.564099i | \(0.809224\pi\) | |||||||
\(824\) | −5.95501e8 | − | 3.43813e8i | −1.06439 | − | 0.614526i | ||||
\(825\) | −9.15850e8 | + | 2.09037e8i | −1.63103 | + | 0.372273i | ||||
\(826\) | −6.16278e7 | − | 1.57025e8i | −0.109354 | − | 0.278630i | ||||
\(827\) | 8.06304e8 | − | 2.48712e8i | 1.42555 | − | 0.439724i | 0.516455 | − | 0.856314i | \(-0.327251\pi\) |
0.909094 | + | 0.416590i | \(0.136775\pi\) | |||||||
\(828\) | 1.66590e8 | − | 2.08898e8i | 0.293467 | − | 0.367996i | ||||
\(829\) | −9.78804e8 | + | 7.33512e7i | −1.71804 | + | 0.128749i | −0.896972 | − | 0.442087i | \(-0.854238\pi\) |
−0.821064 | + | 0.570836i | \(0.806619\pi\) | |||||||
\(830\) | 2.13554e8 | + | 6.58725e7i | 0.373484 | + | 0.115205i | ||||
\(831\) | 8.26513e7 | − | 5.63507e7i | 0.144028 | − | 0.0981966i | ||||
\(832\) | −2.06744e8 | + | 3.11616e7i | −0.358974 | + | 0.0541066i | ||||
\(833\) | 1.04522e8 | − | 4.57940e8i | 0.180831 | − | 0.792271i | ||||
\(834\) | 5.95770e8 | + | 5.52794e8i | 1.02702 | + | 0.952939i | ||||
\(835\) | 1.22667e9 | + | 9.19262e7i | 2.10702 | + | 0.157899i | ||||
\(836\) | 1.95562e8 | + | 7.67526e7i | 0.334708 | + | 0.131363i | ||||
\(837\) | 2.63874e8 | − | 1.75069e9i | 0.450008 | − | 2.98561i | ||||
\(838\) | −8.89291e8 | + | 4.28260e8i | −1.51117 | + | 0.727739i | ||||
\(839\) | 3.13261e8 | + | 6.50494e8i | 0.530421 | + | 1.10143i | 0.978272 | + | 0.207323i | \(0.0664752\pi\) |
−0.447851 | + | 0.894108i | \(0.647811\pi\) | |||||||
\(840\) | 5.87478e8 | + | 8.85480e7i | 0.991182 | + | 0.149397i | ||||
\(841\) | −1.53778e8 | + | 3.91819e8i | −0.258527 | + | 0.658715i | ||||
\(842\) | 6.74234e7 | − | 8.99703e8i | 0.112947 | − | 1.50717i | ||||
\(843\) | −1.11503e9 | + | 1.20172e9i | −1.86125 | + | 2.00595i | ||||
\(844\) | 1.39558e8 | + | 3.18531e7i | 0.232127 | + | 0.0529816i | ||||
\(845\) | 7.06446e7 | + | 4.68696e8i | 0.117087 | + | 0.776821i | ||||
\(846\) | 1.00029e8 | + | 1.46715e8i | 0.165201 | + | 0.242305i | ||||
\(847\) | 1.57750e8 | − | 5.11414e8i | 0.259609 | − | 0.841632i | ||||
\(848\) | 2.12161e7 | + | 2.83109e8i | 0.0347918 | + | 0.464265i | ||||
\(849\) | 1.63684e9 | + | 1.30534e9i | 2.67476 | + | 2.13305i | ||||
\(850\) | 1.12278e8 | + | 3.63996e8i | 0.182826 | + | 0.592707i | ||||
\(851\) | 2.09842e7 | − | 8.23568e6i | 0.0340489 | − | 0.0133632i | ||||
\(852\) | 7.76466e7 | + | 3.40192e8i | 0.125546 | + | 0.550054i | ||||
\(853\) | −1.09517e8 | + | 1.89689e8i | −0.176455 | + | 0.305629i | −0.940664 | − | 0.339340i | \(-0.889796\pi\) |
0.764209 | + | 0.644969i | \(0.223130\pi\) | |||||||
\(854\) | −3.63502e7 | + | 2.09868e7i | −0.0583624 | + | 0.0336955i | ||||
\(855\) | 1.32393e9 | − | 1.22843e9i | 2.11820 | − | 1.96540i | ||||
\(856\) | 4.95561e8 | − | 3.95197e8i | 0.790089 | − | 0.630075i | ||||
\(857\) | 2.66269e8 | + | 1.81539e8i | 0.423036 | + | 0.288421i | 0.756066 | − | 0.654495i | \(-0.227119\pi\) |
−0.333030 | + | 0.942916i | \(0.608071\pi\) | |||||||
\(858\) | −1.26765e9 | − | 6.10469e8i | −2.00696 | − | 0.966499i | ||||
\(859\) | − | 7.69417e8i | − | 1.21390i | −0.794741 | − | 0.606949i | \(-0.792393\pi\) | ||
0.794741 | − | 0.606949i | \(-0.207607\pi\) | |||||||
\(860\) | 1.83221e8 | + | 1.03600e8i | 0.288058 | + | 0.162879i | ||||
\(861\) | −3.06305e8 | −0.479894 | ||||||||
\(862\) | 4.16641e8 | − | 8.65164e8i | 0.650490 | − | 1.35076i | ||||
\(863\) | 1.03259e8 | − | 1.51453e8i | 0.160655 | − | 0.235638i | −0.737468 | − | 0.675382i | \(-0.763979\pi\) |
0.898123 | + | 0.439745i | \(0.144931\pi\) | |||||||
\(864\) | −8.08583e8 | − | 1.01393e9i | −1.25367 | − | 1.57205i | ||||
\(865\) | 6.91058e7 | + | 7.44783e7i | 0.106774 | + | 0.115075i | ||||
\(866\) | −2.09586e8 | − | 3.63013e8i | −0.322707 | − | 0.558945i | ||||
\(867\) | −1.95623e8 | − | 1.12943e8i | −0.300166 | − | 0.173301i | ||||
\(868\) | −6.78169e7 | + | 1.54788e7i | −0.103700 | + | 0.0236689i | ||||
\(869\) | 2.91607e8 | + | 7.43004e8i | 0.444364 | + | 1.13222i | ||||
\(870\) | −2.25543e9 | + | 6.95708e8i | −3.42509 | + | 1.05650i | ||||
\(871\) | 9.53945e7 | − | 1.19621e8i | 0.144367 | − | 0.181031i | ||||
\(872\) | 4.94912e8 | − | 3.70885e7i | 0.746412 | − | 0.0559358i | ||||
\(873\) | −7.47776e8 | − | 2.30658e8i | −1.12390 | − | 0.346678i | ||||
\(874\) | 2.97494e8 | − | 2.02828e8i | 0.445598 | − | 0.303804i | ||||
\(875\) | −2.00253e8 | + | 3.01833e7i | −0.298921 | + | 0.0450550i | ||||
\(876\) | −8.40611e7 | + | 3.68296e8i | −0.125050 | + | 0.547879i | ||||
\(877\) | 3.66854e8 | + | 3.40391e8i | 0.543870 | + | 0.504637i | 0.903576 | − | 0.428428i | \(-0.140933\pi\) |
−0.359706 | + | 0.933066i | \(0.617123\pi\) | |||||||
\(878\) | 2.13295e8 | + | 1.59843e7i | 0.315136 | + | 0.0236162i | ||||
\(879\) | −1.12880e9 | − | 4.43020e8i | −1.66207 | − | 0.652313i | ||||
\(880\) | −2.48023e8 | + | 1.64552e9i | −0.363951 | + | 2.41466i | ||||
\(881\) | −1.36009e8 | + | 6.54984e7i | −0.198902 | + | 0.0957862i | −0.530683 | − | 0.847570i | \(-0.678065\pi\) |
0.331781 | + | 0.943356i | \(0.392350\pi\) | |||||||
\(882\) | 7.36911e8 | + | 1.53021e9i | 1.07401 | + | 2.23021i | ||||
\(883\) | 1.01235e7 | + | 1.52587e6i | 0.0147044 | + | 0.00221633i | 0.156390 | − | 0.987695i | \(-0.450014\pi\) |
−0.141686 | + | 0.989912i | \(0.545252\pi\) | |||||||
\(884\) | −4.42463e7 | + | 1.12738e8i | −0.0640501 | + | 0.163197i | ||||
\(885\) | 6.69661e7 | − | 8.93601e8i | 0.0966107 | − | 1.28918i | ||||
\(886\) | 2.18310e8 | − | 2.35282e8i | 0.313886 | − | 0.338289i | ||||
\(887\) | 8.87655e8 | + | 2.02601e8i | 1.27196 | + | 0.290317i | 0.804635 | − | 0.593769i | \(-0.202361\pi\) |
0.467324 | + | 0.884086i | \(0.345218\pi\) | |||||||
\(888\) | −1.04503e7 | − | 6.93331e7i | −0.0149241 | − | 0.0990152i | ||||
\(889\) | 2.19051e8 | + | 3.21289e8i | 0.311774 | + | 0.457288i | ||||
\(890\) | 1.25024e7 | − | 4.05317e7i | 0.0177347 | − | 0.0574944i | ||||
\(891\) | 4.08947e8 | + | 5.45702e9i | 0.578141 | + | 7.71476i | ||||
\(892\) | −1.47337e8 | − | 1.17497e8i | −0.207595 | − | 0.165551i | ||||
\(893\) | 1.49723e7 | + | 4.85390e7i | 0.0210249 | + | 0.0681611i | ||||
\(894\) | 2.94962e8 | − | 1.15764e8i | 0.412813 | − | 0.162017i | ||||
\(895\) | −2.26115e7 | − | 9.90677e7i | −0.0315400 | − | 0.138186i | ||||
\(896\) | 2.17153e8 | − | 3.76120e8i | 0.301885 | − | 0.522880i | ||||
\(897\) | −4.43308e8 | + | 2.55944e8i | −0.614226 | + | 0.354623i | ||||
\(898\) | −6.36097e8 | + | 5.90212e8i | −0.878404 | + | 0.815040i | ||||
\(899\) | −5.85693e8 | + | 4.67074e8i | −0.806103 | + | 0.642846i | ||||
\(900\) | −2.41574e8 | − | 1.64703e8i | −0.331378 | − | 0.225929i | ||||
\(901\) | −2.77849e8 | − | 1.33805e8i | −0.379870 | − | 0.182936i | ||||
\(902\) | − | 6.64782e8i | − | 0.905857i | ||||||
\(903\) | 6.11081e7 | + | 7.27679e8i | 0.0829919 | + | 0.988273i | ||||
\(904\) | 1.44247e8 | 0.195254 | ||||||||
\(905\) | 7.20448e7 | − | 1.49603e8i | 0.0971979 | − | 0.201834i | ||||
\(906\) | −3.56907e8 | + | 5.23486e8i | −0.479922 | + | 0.703916i | ||||
\(907\) | −8.22528e8 | − | 1.03142e9i | −1.10237 | − | 1.38233i | −0.916631 | − | 0.399735i | \(-0.869102\pi\) |
−0.185744 | − | 0.982598i | \(-0.559469\pi\) | |||||||
\(908\) | −1.12574e8 | − | 1.21326e8i | −0.150376 | − | 0.162067i | ||||
\(909\) | −1.56162e9 | − | 2.70480e9i | −2.07914 | − | 3.60117i | ||||
\(910\) | 2.71110e8 | + | 1.56525e8i | 0.359767 | + | 0.207711i | ||||
\(911\) | 1.12687e9 | − | 2.57200e8i | 1.49045 | − | 0.340185i | 0.601753 | − | 0.798682i | \(-0.294469\pi\) |
0.888696 | + | 0.458497i | \(0.151612\pi\) | |||||||
\(912\) | −5.28051e8 | − | 1.34545e9i | −0.696132 | − | 1.77372i | ||||
\(913\) | −3.41342e8 | + | 1.05290e8i | −0.448515 | + | 0.138348i | ||||
\(914\) | 7.03111e8 | − | 8.81673e8i | 0.920842 | − | 1.15470i | ||||
\(915\) | −2.22352e8 | + | 1.66630e7i | −0.290254 | + | 0.0217515i | ||||
\(916\) | 2.10740e8 | + | 6.50046e7i | 0.274195 | + | 0.0845780i | ||||
\(917\) | 2.01952e8 | − | 1.37688e8i | 0.261903 | − | 0.178562i | ||||
\(918\) | 3.57505e9 | − | 5.38852e8i | 4.62119 | − | 0.696533i | ||||
\(919\) | −9.64371e6 | + | 4.22519e7i | −0.0124250 | + | 0.0544376i | −0.980760 | − | 0.195215i | \(-0.937459\pi\) |
0.968335 | + | 0.249653i | \(0.0803166\pi\) | |||||||
\(920\) | 3.43885e8 | + | 3.19079e8i | 0.441621 | + | 0.409765i | ||||
\(921\) | 1.71006e9 | + | 1.28151e8i | 2.18894 | + | 0.164038i | ||||
\(922\) | 5.14318e8 | + | 2.01855e8i | 0.656204 | + | 0.257541i | ||||
\(923\) | 7.42850e7 | − | 4.92849e8i | 0.0944704 | − | 0.626770i | ||||
\(924\) | 3.15622e8 | − | 1.51995e8i | 0.400084 | − | 0.192670i | ||||
\(925\) | −1.07028e7 | − | 2.22247e7i | −0.0135230 | − | 0.0280808i | ||||
\(926\) | 1.23186e9 | + | 1.85674e8i | 1.55142 | + | 0.233839i | ||||
\(927\) | −1.27343e9 | + | 3.24463e9i | −1.59858 | + | 4.07311i | ||||
\(928\) | −4.10072e7 | + | 5.47203e8i | −0.0513117 | + | 0.684707i | ||||
\(929\) | −2.60827e8 | + | 2.81105e8i | −0.325316 | + | 0.350608i | −0.874440 | − | 0.485133i | \(-0.838771\pi\) |
0.549124 | + | 0.835741i | \(0.314962\pi\) | |||||||
\(930\) | −1.69712e9 | − | 3.87357e8i | −2.10991 | − | 0.481573i | ||||
\(931\) | 7.24118e7 | + | 4.80421e8i | 0.0897347 | + | 0.595351i | ||||
\(932\) | −2.25103e8 | − | 3.30166e8i | −0.278057 | − | 0.407835i | ||||
\(933\) | −7.36561e8 | + | 2.38787e9i | −0.906909 | + | 2.94013i | ||||
\(934\) | −1.31275e8 | − | 1.75174e9i | −0.161116 | − | 2.14995i | ||||
\(935\) | −1.41327e9 | − | 1.12705e9i | −1.72898 | − | 1.37882i | ||||
\(936\) | 3.49896e8 | + | 1.13434e9i | 0.426689 | + | 1.38329i | ||||
\(937\) | −4.29052e8 | + | 1.68391e8i | −0.521544 | + | 0.204691i | −0.611485 | − | 0.791256i | \(-0.709427\pi\) |
0.0899407 | + | 0.995947i | \(0.471332\pi\) | |||||||
\(938\) | 3.99323e7 | + | 1.74955e8i | 0.0483856 | + | 0.211991i | ||||
\(939\) | −4.71875e8 | + | 8.17311e8i | −0.569941 | + | 0.987167i | ||||
\(940\) | 2.11432e7 | − | 1.22070e7i | 0.0254558 | − | 0.0146969i | ||||
\(941\) | 5.42769e8 | − | 5.03616e8i | 0.651397 | − | 0.604409i | −0.283651 | − | 0.958927i | \(-0.591546\pi\) |
0.935049 | + | 0.354519i | \(0.115355\pi\) | |||||||
\(942\) | −1.28867e9 | + | 1.02768e9i | −1.54166 | + | 1.22943i | ||||
\(943\) | −1.99834e8 | − | 1.36245e8i | −0.238306 | − | 0.162474i | ||||
\(944\) | −4.81729e8 | − | 2.31988e8i | −0.572647 | − | 0.275772i | ||||
\(945\) | − | 1.98382e9i | − | 2.35076i | ||||||
\(946\) | −1.57930e9 | + | 1.32624e8i | −1.86548 | + | 0.156657i | ||||
\(947\) | 4.68718e8 | 0.551901 | 0.275951 | − | 0.961172i | \(-0.411007\pi\) | ||||
0.275951 | + | 0.961172i | \(0.411007\pi\) | |||||||
\(948\) | −1.44571e8 | + | 3.00205e8i | −0.169690 | + | 0.352365i | ||||
\(949\) | 3.03962e8 | − | 4.45830e8i | 0.355648 | − | 0.521640i | ||||
\(950\) | −2.45655e8 | − | 3.08042e8i | −0.286520 | − | 0.359285i | ||||
\(951\) | 1.94955e9 | + | 2.10112e9i | 2.26669 | + | 2.44292i | ||||
\(952\) | 1.92532e8 | + | 3.33475e8i | 0.223148 | + | 0.386503i | ||||
\(953\) | −2.74888e8 | − | 1.58706e8i | −0.317597 | − | 0.183365i | 0.332724 | − | 0.943024i | \(-0.392032\pi\) |
−0.650321 | + | 0.759660i | \(0.725366\pi\) | |||||||
\(954\) | 1.08712e9 | − | 2.48128e8i | 1.25208 | − | 0.285779i | ||||
\(955\) | −3.15225e8 | − | 8.03181e8i | −0.361919 | − | 0.922154i | ||||
\(956\) | 3.54006e8 | − | 1.09197e8i | 0.405170 | − | 0.124978i | ||||
\(957\) | 2.35222e9 | − | 2.94959e9i | 2.68375 | − | 3.36531i | ||||
\(958\) | −8.64911e8 | + | 6.48161e7i | −0.983728 | + | 0.0737202i | ||||
\(959\) | −3.96726e8 | − | 1.22374e8i | −0.449816 | − | 0.138750i | ||||
\(960\) | 1.07636e9 | − | 7.33851e8i | 1.21659 | − | 0.829457i | ||||
\(961\) | 3.31263e8 | − | 4.99299e7i | 0.373253 | − | 0.0562588i | ||||
\(962\) | 8.22119e6 | − | 3.60194e7i | 0.00923441 | − | 0.0404586i | ||||
\(963\) | −2.35527e9 | − | 2.18538e9i | −2.63732 | − | 2.44707i | ||||
\(964\) | −2.59958e8 | − | 1.94811e7i | −0.290183 | − | 0.0217462i | ||||
\(965\) | 8.05140e8 | + | 3.15994e8i | 0.895962 | + | 0.351639i | ||||
\(966\) | 8.94837e7 | − | 5.93686e8i | 0.0992688 | − | 0.658605i | ||||
\(967\) | −1.30165e9 | + | 6.26843e8i | −1.43951 | + | 0.693233i | −0.980740 | − | 0.195319i | \(-0.937426\pi\) |
−0.458774 | + | 0.888553i | \(0.651711\pi\) | |||||||
\(968\) | −5.70308e8 | − | 1.18426e9i | −0.628758 | − | 1.30563i | ||||
\(969\) | 1.55249e9 | + | 2.34001e8i | 1.70631 | + | 0.257185i | ||||
\(970\) | −1.85170e8 | + | 4.71805e8i | −0.202887 | + | 0.516948i | ||||
\(971\) | −8.30424e7 | + | 1.10812e9i | −0.0907073 | + | 1.21041i | 0.747202 | + | 0.664597i | \(0.231397\pi\) |
−0.837910 | + | 0.545809i | \(0.816222\pi\) | |||||||
\(972\) | −9.09669e8 | + | 9.80390e8i | −0.990568 | + | 1.06758i | ||||
\(973\) | 2.81788e8 | + | 6.43164e7i | 0.305904 | + | 0.0698205i | ||||
\(974\) | 8.14602e7 | + | 5.40453e8i | 0.0881594 | + | 0.584900i | ||||
\(975\) | 3.15540e8 | + | 4.62813e8i | 0.340440 | + | 0.499334i | ||||
\(976\) | −3.92150e7 | + | 1.27132e8i | −0.0421797 | + | 0.136743i | ||||
\(977\) | −9.85754e7 | − | 1.31540e9i | −0.105702 | − | 1.41050i | −0.757860 | − | 0.652417i | \(-0.773755\pi\) |
0.652158 | − | 0.758083i | \(-0.273864\pi\) | |||||||
\(978\) | 1.57901e9 | + | 1.25922e9i | 1.68798 | + | 1.34612i | ||||
\(979\) | 1.99837e7 | + | 6.47855e7i | 0.0212974 | + | 0.0690446i | ||||
\(980\) | 2.17372e8 | − | 8.53121e7i | 0.230953 | − | 0.0906426i | ||||
\(981\) | −5.59806e8 | − | 2.45267e9i | −0.592967 | − | 2.59796i | ||||
\(982\) | 1.92100e8 | − | 3.32727e8i | 0.202858 | − | 0.351361i | ||||
\(983\) | −8.61966e8 | + | 4.97656e8i | −0.907464 | + | 0.523925i | −0.879614 | − | 0.475687i | \(-0.842199\pi\) |
−0.0278499 | + | 0.999612i | \(0.508866\pi\) | |||||||
\(984\) | −5.51463e8 | + | 5.11683e8i | −0.578804 | + | 0.537051i | ||||
\(985\) | −9.37324e8 | + | 7.47491e8i | −0.980801 | + | 0.782163i | ||||
\(986\) | −1.26396e9 | − | 8.61756e8i | −1.31857 | − | 0.898988i | ||||
\(987\) | 7.63132e7 | + | 3.67505e7i | 0.0793685 | + | 0.0382218i | ||||
\(988\) | − | 1.25268e8i | − | 0.129889i | ||||||
\(989\) | −2.83805e8 | + | 5.01920e8i | −0.293380 | + | 0.518855i | ||||
\(990\) | 6.53608e9 | 6.73615 | ||||||||
\(991\) | 4.36169e8 | − | 9.05715e8i | 0.448161 | − | 0.930616i | −0.547433 | − | 0.836849i | \(-0.684395\pi\) |
0.995594 | − | 0.0937667i | \(-0.0298908\pi\) | |||||||
\(992\) | −2.27979e8 | + | 3.34383e8i | −0.233539 | + | 0.342539i | ||||
\(993\) | 5.71755e8 | + | 7.16958e8i | 0.583932 | + | 0.732228i | ||||
\(994\) | 3.97622e8 | + | 4.28535e8i | 0.404866 | + | 0.436342i | ||||
\(995\) | 1.32217e8 | + | 2.29007e8i | 0.134220 | + | 0.232476i | ||||
\(996\) | −1.29141e8 | − | 7.45595e7i | −0.130703 | − | 0.0754614i | ||||
\(997\) | −1.87281e9 | + | 4.27457e8i | −1.88977 | + | 0.431328i | −0.999700 | − | 0.0244957i | \(-0.992202\pi\) |
−0.890070 | + | 0.455823i | \(0.849345\pi\) | |||||||
\(998\) | 3.40025e8 | + | 8.66371e8i | 0.342074 | + | 0.871590i | ||||
\(999\) | −2.23726e8 | + | 6.90103e7i | −0.224398 | + | 0.0692177i |
(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.18.17 | yes | 252 | |
43.12 | odd | 42 | inner | 43.7.h.a.12.17 | ✓ | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.12.17 | ✓ | 252 | 43.12 | odd | 42 | inner | |
43.7.h.a.18.17 | yes | 252 | 1.1 | even | 1 | trivial |