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 | 12.18 | ||
Character | \(\chi\) | \(=\) | 43.12 |
Dual form | 43.7.h.a.18.18 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.45532 | + | 11.3281i | 0.681915 | + | 1.41601i | 0.898159 | + | 0.439671i | \(0.144905\pi\) |
−0.216244 | + | 0.976339i | \(0.569381\pi\) | |||||||
\(3\) | −9.73743 | − | 14.2822i | −0.360645 | − | 0.528970i | 0.602441 | − | 0.798164i | \(-0.294195\pi\) |
−0.963086 | + | 0.269194i | \(0.913243\pi\) | |||||||
\(4\) | −58.6616 | + | 73.5593i | −0.916588 | + | 1.14936i | ||||
\(5\) | −58.7717 | + | 63.3408i | −0.470174 | + | 0.506727i | −0.922962 | − | 0.384892i | \(-0.874239\pi\) |
0.452788 | + | 0.891618i | \(0.350429\pi\) | |||||||
\(6\) | 108.669 | − | 188.220i | 0.503097 | − | 0.871390i | ||||
\(7\) | −290.866 | + | 167.932i | −0.848006 | + | 0.489597i | −0.859978 | − | 0.510332i | \(-0.829523\pi\) |
0.0119713 | + | 0.999928i | \(0.496189\pi\) | |||||||
\(8\) | −368.793 | − | 84.1745i | −0.720298 | − | 0.164403i | ||||
\(9\) | 157.170 | − | 400.464i | 0.215597 | − | 0.549333i | ||||
\(10\) | −1038.15 | − | 320.226i | −1.03815 | − | 0.320226i | ||||
\(11\) | −1328.18 | − | 1665.49i | −0.997882 | − | 1.25130i | −0.967791 | − | 0.251757i | \(-0.918992\pi\) |
−0.0300911 | − | 0.999547i | \(-0.509580\pi\) | |||||||
\(12\) | 1621.80 | + | 121.537i | 0.938542 | + | 0.0703340i | ||||
\(13\) | −1680.67 | + | 518.418i | −0.764984 | + | 0.235966i | −0.652604 | − | 0.757699i | \(-0.726323\pi\) |
−0.112380 | + | 0.993665i | \(0.535847\pi\) | |||||||
\(14\) | −3489.11 | − | 2378.84i | −1.27154 | − | 0.866923i | ||||
\(15\) | 1476.93 | + | 222.611i | 0.437609 | + | 0.0659589i | ||||
\(16\) | 281.564 | + | 1233.61i | 0.0687413 | + | 0.301175i | ||||
\(17\) | −1047.07 | + | 971.543i | −0.213123 | + | 0.197750i | −0.779509 | − | 0.626390i | \(-0.784532\pi\) |
0.566386 | + | 0.824140i | \(0.308341\pi\) | |||||||
\(18\) | 5393.90 | − | 404.217i | 0.924880 | − | 0.0693102i | ||||
\(19\) | −4169.06 | + | 1636.23i | −0.607823 | + | 0.238553i | −0.649233 | − | 0.760589i | \(-0.724910\pi\) |
0.0414105 | + | 0.999142i | \(0.486815\pi\) | |||||||
\(20\) | −1211.67 | − | 8038.88i | −0.151458 | − | 1.00486i | ||||
\(21\) | 5230.72 | + | 2518.98i | 0.564811 | + | 0.271999i | ||||
\(22\) | 11621.1 | − | 24131.5i | 1.09139 | − | 2.26629i | ||||
\(23\) | 13769.4 | − | 2075.40i | 1.13170 | − | 0.170576i | 0.443622 | − | 0.896214i | \(-0.353693\pi\) |
0.688077 | + | 0.725638i | \(0.258455\pi\) | |||||||
\(24\) | 2388.90 | + | 6086.81i | 0.172808 | + | 0.440307i | ||||
\(25\) | 609.710 | + | 8136.02i | 0.0390214 | + | 0.520705i | ||||
\(26\) | −15041.3 | − | 16210.6i | −0.855784 | − | 0.922316i | ||||
\(27\) | −19535.3 | + | 4458.81i | −0.992497 | + | 0.226531i | ||||
\(28\) | 4709.74 | − | 31247.1i | 0.214547 | − | 1.42343i | ||||
\(29\) | −13235.5 | + | 19412.9i | −0.542682 | + | 0.795969i | −0.995412 | − | 0.0956789i | \(-0.969498\pi\) |
0.452730 | + | 0.891648i | \(0.350450\pi\) | |||||||
\(30\) | 5535.36 | + | 17945.2i | 0.205013 | + | 0.664637i | ||||
\(31\) | −2782.80 | + | 37133.9i | −0.0934107 | + | 1.24648i | 0.731747 | + | 0.681576i | \(0.238705\pi\) |
−0.825158 | + | 0.564902i | \(0.808914\pi\) | |||||||
\(32\) | −31366.4 | + | 25013.9i | −0.957226 | + | 0.763362i | ||||
\(33\) | −10853.7 | + | 35186.9i | −0.302020 | + | 0.979126i | ||||
\(34\) | −16717.8 | − | 6561.27i | −0.425347 | − | 0.166936i | ||||
\(35\) | 6457.77 | − | 28293.3i | 0.150618 | − | 0.659903i | ||||
\(36\) | 20238.0 | + | 35053.2i | 0.433770 | + | 0.751311i | ||||
\(37\) | −22650.2 | − | 13077.1i | −0.447165 | − | 0.258171i | 0.259467 | − | 0.965752i | \(-0.416453\pi\) |
−0.706632 | + | 0.707581i | \(0.749786\pi\) | |||||||
\(38\) | −41278.9 | − | 38301.2i | −0.752276 | − | 0.698011i | ||||
\(39\) | 23769.5 | + | 18955.6i | 0.400707 | + | 0.319553i | ||||
\(40\) | 27006.3 | − | 18412.6i | 0.421973 | − | 0.287696i | ||||
\(41\) | 3409.35 | − | 1641.86i | 0.0494675 | − | 0.0238223i | −0.408986 | − | 0.912540i | \(-0.634118\pi\) |
0.458454 | + | 0.888718i | \(0.348403\pi\) | |||||||
\(42\) | 72995.8i | 0.985259i | ||||||||
\(43\) | 28881.1 | − | 74075.9i | 0.363252 | − | 0.931691i | ||||
\(44\) | 200425. | 2.35285 | ||||||||
\(45\) | 16128.5 | + | 33491.2i | 0.176993 | + | 0.367531i | ||||
\(46\) | 98626.6 | + | 144659.i | 1.01326 | + | 1.48618i | ||||
\(47\) | −26846.6 | + | 33664.5i | −0.258580 | + | 0.324249i | −0.894127 | − | 0.447813i | \(-0.852203\pi\) |
0.635547 | + | 0.772062i | \(0.280775\pi\) | |||||||
\(48\) | 14877.0 | − | 16033.6i | 0.134521 | − | 0.144980i | ||||
\(49\) | −2422.41 | + | 4195.73i | −0.0205901 | + | 0.0356631i | ||||
\(50\) | −88839.3 | + | 51291.4i | −0.710714 | + | 0.410331i | ||||
\(51\) | 24071.6 | + | 5494.18i | 0.181465 | + | 0.0414183i | ||||
\(52\) | 60456.3 | − | 154040.i | 0.429963 | − | 1.09553i | ||||
\(53\) | −4091.57 | − | 1262.08i | −0.0274829 | − | 0.00847735i | 0.280983 | − | 0.959713i | \(-0.409339\pi\) |
−0.308466 | + | 0.951235i | \(0.599816\pi\) | |||||||
\(54\) | −157081. | − | 196973.i | −0.997568 | − | 1.25091i | ||||
\(55\) | 183553. | + | 13755.4i | 1.10325 | + | 0.0826769i | ||||
\(56\) | 121405. | − | 37448.5i | 0.691309 | − | 0.213241i | ||||
\(57\) | 63964.9 | + | 43610.5i | 0.345396 | + | 0.235487i | ||||
\(58\) | −292114. | − | 44029.2i | −1.49716 | − | 0.225661i | ||||
\(59\) | 4856.99 | + | 21279.9i | 0.0236489 | + | 0.103613i | 0.985375 | − | 0.170400i | \(-0.0545061\pi\) |
−0.961726 | + | 0.274013i | \(0.911649\pi\) | |||||||
\(60\) | −103014. | + | 95583.2i | −0.476918 | + | 0.442515i | ||||
\(61\) | 304951. | − | 22852.9i | 1.34351 | − | 0.100682i | 0.616524 | − | 0.787336i | \(-0.288540\pi\) |
0.726985 | + | 0.686654i | \(0.240921\pi\) | |||||||
\(62\) | −435836. | + | 171053.i | −1.82872 | + | 0.717722i | ||||
\(63\) | 21535.0 | + | 142875.i | 0.0861237 | + | 0.571393i | ||||
\(64\) | −381511. | − | 183726.i | −1.45535 | − | 0.700858i | ||||
\(65\) | 65938.8 | − | 136923.i | 0.240105 | − | 0.498583i | ||||
\(66\) | −457810. | + | 69003.8i | −1.59240 | + | 0.240016i | ||||
\(67\) | −182582. | − | 465212.i | −0.607063 | − | 1.54677i | −0.821605 | − | 0.570057i | \(-0.806921\pi\) |
0.214542 | − | 0.976715i | \(-0.431174\pi\) | |||||||
\(68\) | −10043.0 | − | 134014.i | −0.0319401 | − | 0.426211i | ||||
\(69\) | −163719. | − | 176448.i | −0.498371 | − | 0.537117i | ||||
\(70\) | 355738. | − | 81195.0i | 1.03714 | − | 0.236720i | ||||
\(71\) | −44736.6 | + | 296808.i | −0.124994 | + | 0.829278i | 0.835201 | + | 0.549945i | \(0.185351\pi\) |
−0.960194 | + | 0.279333i | \(0.909887\pi\) | |||||||
\(72\) | −91672.1 | + | 134458.i | −0.245606 | + | 0.360239i | ||||
\(73\) | 10776.4 | + | 34936.3i | 0.0277017 | + | 0.0898067i | 0.968368 | − | 0.249526i | \(-0.0802749\pi\) |
−0.940666 | + | 0.339333i | \(0.889799\pi\) | |||||||
\(74\) | 24574.5 | − | 327923.i | 0.0606442 | − | 0.809240i | ||||
\(75\) | 110263. | − | 87931.8i | 0.261364 | − | 0.208431i | ||||
\(76\) | 124203. | − | 402657.i | 0.282939 | − | 0.917264i | ||||
\(77\) | 666011. | + | 261390.i | 1.45884 | + | 0.572554i | ||||
\(78\) | −85059.9 | + | 372672.i | −0.179243 | + | 0.785313i | ||||
\(79\) | −264647. | − | 458382.i | −0.536767 | − | 0.929708i | −0.999076 | − | 0.0429890i | \(-0.986312\pi\) |
0.462308 | − | 0.886719i | \(-0.347021\pi\) | |||||||
\(80\) | −94686.2 | − | 54667.1i | −0.184934 | − | 0.106772i | ||||
\(81\) | 24007.6 | + | 22275.8i | 0.0451746 | + | 0.0419159i | ||||
\(82\) | 37198.2 | + | 29664.5i | 0.0674652 | + | 0.0538017i | ||||
\(83\) | −181239. | + | 123567.i | −0.316969 | + | 0.216106i | −0.711345 | − | 0.702843i | \(-0.751913\pi\) |
0.394375 | + | 0.918950i | \(0.370961\pi\) | |||||||
\(84\) | −492137. | + | 237001.i | −0.830325 | + | 0.399863i | ||||
\(85\) | − | 123422.i | − | 0.200972i | ||||||
\(86\) | 996694. | − | 76940.2i | 1.56699 | − | 0.120964i | ||||
\(87\) | 406138. | 0.616759 | ||||||||
\(88\) | 349632. | + | 726018.i | 0.513054 | + | 1.06537i | ||||
\(89\) | 531917. | + | 780178.i | 0.754525 | + | 1.10668i | 0.990844 | + | 0.135009i | \(0.0431064\pi\) |
−0.236320 | + | 0.971675i | \(0.575941\pi\) | |||||||
\(90\) | −291405. | + | 365410.i | −0.399733 | + | 0.501249i | ||||
\(91\) | 401791. | − | 433028.i | 0.533183 | − | 0.574634i | ||||
\(92\) | −655069. | + | 1.13461e6i | −0.841246 | + | 1.45708i | ||||
\(93\) | 557450. | − | 321844.i | 0.693038 | − | 0.400125i | ||||
\(94\) | −527811. | − | 120469.i | −0.635470 | − | 0.145042i | ||||
\(95\) | 141382. | − | 360236.i | 0.164901 | − | 0.420161i | ||||
\(96\) | 662680. | + | 204410.i | 0.749015 | + | 0.231040i | ||||
\(97\) | 77326.2 | + | 96963.9i | 0.0847249 | + | 0.106242i | 0.822387 | − | 0.568928i | \(-0.192642\pi\) |
−0.737662 | + | 0.675170i | \(0.764070\pi\) | |||||||
\(98\) | −60744.6 | − | 4552.18i | −0.0645401 | − | 0.00483661i | ||||
\(99\) | −875717. | + | 270123.i | −0.902523 | + | 0.278391i | ||||
\(100\) | −634246. | − | 432422.i | −0.634246 | − | 0.432422i | ||||
\(101\) | 1.11460e6 | + | 167999.i | 1.08182 | + | 0.163058i | 0.665675 | − | 0.746242i | \(-0.268144\pi\) |
0.416142 | + | 0.909299i | \(0.363382\pi\) | |||||||
\(102\) | 69079.5 | + | 302657.i | 0.0650952 | + | 0.285201i | ||||
\(103\) | 1.28014e6 | − | 1.18780e6i | 1.17151 | − | 1.08700i | 0.176804 | − | 0.984246i | \(-0.443424\pi\) |
0.994706 | − | 0.102757i | \(-0.0327664\pi\) | |||||||
\(104\) | 663456. | − | 49719.2i | 0.589810 | − | 0.0442002i | ||||
\(105\) | −466973. | + | 183273.i | −0.403388 | + | 0.158318i | ||||
\(106\) | −8023.84 | − | 53234.7i | −0.00673697 | − | 0.0446969i | ||||
\(107\) | −466297. | − | 224557.i | −0.380638 | − | 0.183305i | 0.233774 | − | 0.972291i | \(-0.424892\pi\) |
−0.614412 | + | 0.788985i | \(0.710607\pi\) | |||||||
\(108\) | 817986. | − | 1.69857e6i | 0.649344 | − | 1.34838i | ||||
\(109\) | −2.21748e6 | + | 334231.i | −1.71230 | + | 0.258088i | −0.930725 | − | 0.365721i | \(-0.880822\pi\) |
−0.781577 | + | 0.623809i | \(0.785584\pi\) | |||||||
\(110\) | 845516. | + | 2.15434e6i | 0.635249 | + | 1.61859i | ||||
\(111\) | 33785.2 | + | 450832.i | 0.0247034 | + | 0.329645i | ||||
\(112\) | −289061. | − | 311533.i | −0.205748 | − | 0.221743i | ||||
\(113\) | −1.26776e6 | + | 289357.i | −0.878619 | + | 0.200539i | −0.637959 | − | 0.770070i | \(-0.720221\pi\) |
−0.240660 | + | 0.970609i | \(0.577364\pi\) | |||||||
\(114\) | −145075. | + | 962508.i | −0.0979213 | + | 0.649666i | ||||
\(115\) | −677792. | + | 994138.i | −0.445659 | + | 0.653662i | ||||
\(116\) | −651584. | − | 2.11238e6i | −0.417442 | − | 1.35331i | ||||
\(117\) | −56544.0 | + | 754527.i | −0.0353044 | + | 0.471104i | ||||
\(118\) | −214563. | + | 171109.i | −0.130590 | + | 0.104142i | ||||
\(119\) | 141406. | − | 458426.i | 0.0839124 | − | 0.272037i | ||||
\(120\) | −525943. | − | 206417.i | −0.304365 | − | 0.119454i | ||||
\(121\) | −615570. | + | 2.69699e6i | −0.347473 | + | 1.52238i | ||||
\(122\) | 1.92248e6 | + | 3.32984e6i | 1.05873 | + | 1.83377i | ||||
\(123\) | −56647.6 | − | 32705.5i | −0.0304415 | − | 0.0175754i | ||||
\(124\) | −2.56830e6 | − | 2.38303e6i | −1.34704 | − | 1.24987i | ||||
\(125\) | −1.60673e6 | − | 1.28133e6i | −0.822648 | − | 0.656040i | ||||
\(126\) | −1.50102e6 | + | 1.02338e6i | −0.750370 | + | 0.511594i | ||||
\(127\) | 2.85043e6 | − | 1.37270e6i | 1.39155 | − | 0.670137i | 0.420124 | − | 0.907466i | \(-0.361986\pi\) |
0.971429 | + | 0.237330i | \(0.0762721\pi\) | |||||||
\(128\) | − | 2.75644e6i | − | 1.31437i | ||||||
\(129\) | −1.33919e6 | + | 308824.i | −0.623841 | + | 0.143861i | ||||
\(130\) | 1.91079e6 | 0.869729 | ||||||||
\(131\) | 978716. | + | 2.03233e6i | 0.435354 | + | 0.904023i | 0.997056 | + | 0.0766825i | \(0.0244328\pi\) |
−0.561701 | + | 0.827340i | \(0.689853\pi\) | |||||||
\(132\) | −1.95163e6 | − | 2.86251e6i | −0.848545 | − | 1.24459i | ||||
\(133\) | 937862. | − | 1.17604e6i | 0.398643 | − | 0.499882i | ||||
\(134\) | 4.27391e6 | − | 4.60618e6i | 1.77628 | − | 1.91437i | ||||
\(135\) | 865699. | − | 1.49943e6i | 0.351857 | − | 0.609433i | ||||
\(136\) | 467933. | − | 270161.i | 0.186023 | − | 0.107400i | ||||
\(137\) | −1.16687e6 | − | 266331.i | −0.453798 | − | 0.103576i | −0.0104883 | − | 0.999945i | \(-0.503339\pi\) |
−0.443310 | + | 0.896369i | \(0.646196\pi\) | |||||||
\(138\) | 1.10567e6 | − | 2.81721e6i | 0.420716 | − | 1.07197i | ||||
\(139\) | −3.75192e6 | − | 1.15731e6i | −1.39704 | − | 0.430930i | −0.497384 | − | 0.867530i | \(-0.665706\pi\) |
−0.899655 | + | 0.436601i | \(0.856182\pi\) | |||||||
\(140\) | 1.70242e6 | + | 2.13476e6i | 0.620414 | + | 0.777974i | ||||
\(141\) | 742219. | + | 55621.6i | 0.264774 | + | 0.0198420i | ||||
\(142\) | −3.60631e6 | + | 1.11240e6i | −1.25950 | + | 0.388505i | ||||
\(143\) | 3.09565e6 | + | 2.11058e6i | 1.05863 | + | 0.721761i | ||||
\(144\) | 538271. | + | 81131.3i | 0.180266 | + | 0.0271707i | ||||
\(145\) | −451756. | − | 1.97927e6i | −0.148184 | − | 0.649235i | ||||
\(146\) | −336973. | + | 312665.i | −0.108277 | + | 0.100466i | ||||
\(147\) | 83512.2 | − | 6258.38i | 0.0262905 | − | 0.00197020i | ||||
\(148\) | 2.29064e6 | − | 899011.i | 0.706598 | − | 0.277319i | ||||
\(149\) | −606485. | − | 4.02376e6i | −0.183342 | − | 1.21639i | −0.871340 | − | 0.490680i | \(-0.836748\pi\) |
0.687998 | − | 0.725712i | \(-0.258490\pi\) | |||||||
\(150\) | 1.59762e6 | + | 769373.i | 0.473369 | + | 0.227962i | ||||
\(151\) | −2.12877e6 | + | 4.42043e6i | −0.618298 | + | 1.28391i | 0.323022 | + | 0.946392i | \(0.395301\pi\) |
−0.941319 | + | 0.337517i | \(0.890413\pi\) | |||||||
\(152\) | 1.67525e6 | − | 252503.i | 0.477033 | − | 0.0719011i | ||||
\(153\) | 224499. | + | 572013.i | 0.0626815 | + | 0.159710i | ||||
\(154\) | 672253. | + | 8.97059e6i | 0.184065 | + | 2.45617i | ||||
\(155\) | −2.18854e6 | − | 2.35868e6i | −0.587705 | − | 0.633395i | ||||
\(156\) | −2.78872e6 | + | 636507.i | −0.734566 | + | 0.167660i | ||||
\(157\) | −1.11565e6 | + | 7.40186e6i | −0.288290 | + | 1.91268i | 0.107256 | + | 0.994231i | \(0.465794\pi\) |
−0.395545 | + | 0.918446i | \(0.629444\pi\) | |||||||
\(158\) | 3.74886e6 | − | 5.49857e6i | 0.950447 | − | 1.39405i | ||||
\(159\) | 21816.1 | + | 70726.0i | 0.00542732 | + | 0.0175949i | ||||
\(160\) | 259057. | − | 3.45688e6i | 0.0632464 | − | 0.843965i | ||||
\(161\) | −3.65652e6 | + | 2.91598e6i | −0.876174 | + | 0.698725i | ||||
\(162\) | −121373. | + | 393482.i | −0.0285481 | + | 0.0925507i | ||||
\(163\) | 4.24315e6 | + | 1.66531e6i | 0.979773 | + | 0.384533i | 0.800544 | − | 0.599275i | \(-0.204544\pi\) |
0.179230 | + | 0.983807i | \(0.442639\pi\) | |||||||
\(164\) | −79224.1 | + | 347103.i | −0.0179608 | + | 0.0786914i | ||||
\(165\) | −1.59087e6 | − | 2.75547e6i | −0.354147 | − | 0.613401i | ||||
\(166\) | −2.38849e6 | − | 1.37899e6i | −0.522154 | − | 0.301466i | ||||
\(167\) | −4.95426e6 | − | 4.59688e6i | −1.06372 | − | 0.986992i | −0.0637851 | − | 0.997964i | \(-0.520317\pi\) |
−0.999940 | + | 0.0109712i | \(0.996508\pi\) | |||||||
\(168\) | −1.71702e6 | − | 1.36928e6i | −0.362115 | − | 0.288777i | ||||
\(169\) | −1.43220e6 | + | 976460.i | −0.296719 | + | 0.202299i | ||||
\(170\) | 1.39813e6 | − | 673305.i | 0.284578 | − | 0.137046i | ||||
\(171\) | 1.92672e6i | 0.385328i | ||||||||
\(172\) | 3.75476e6 | + | 6.46989e6i | 0.737900 | + | 1.27149i | ||||
\(173\) | −1.38275e6 | −0.267058 | −0.133529 | − | 0.991045i | \(-0.542631\pi\) | ||||
−0.133529 | + | 0.991045i | \(0.542631\pi\) | |||||||
\(174\) | 2.21561e6 | + | 4.60076e6i | 0.420577 | + | 0.873337i | ||||
\(175\) | −1.54364e6 | − | 2.26410e6i | −0.288026 | − | 0.422456i | ||||
\(176\) | 1.68060e6 | − | 2.10740e6i | 0.308266 | − | 0.386554i | ||||
\(177\) | 256628. | − | 276579.i | 0.0462791 | − | 0.0498770i | ||||
\(178\) | −5.93615e6 | + | 1.02817e7i | −1.05256 | + | 1.82308i | ||||
\(179\) | 2.42683e6 | − | 1.40113e6i | 0.423137 | − | 0.244298i | −0.273282 | − | 0.961934i | \(-0.588109\pi\) |
0.696418 | + | 0.717636i | \(0.254776\pi\) | |||||||
\(180\) | −3.40972e6 | − | 778246.i | −0.584657 | − | 0.133444i | ||||
\(181\) | 458548. | − | 1.16836e6i | 0.0773301 | − | 0.197034i | −0.886981 | − | 0.461806i | \(-0.847202\pi\) |
0.964311 | + | 0.264772i | \(0.0852968\pi\) | |||||||
\(182\) | 7.09727e6 | + | 2.18922e6i | 1.17727 | + | 0.363141i | ||||
\(183\) | −3.29583e6 | − | 4.13284e6i | −0.537788 | − | 0.674365i | ||||
\(184\) | −5.25274e6 | − | 393638.i | −0.843204 | − | 0.0631894i | ||||
\(185\) | 2.15951e6 | − | 666120.i | 0.341067 | − | 0.105205i | ||||
\(186\) | 6.68694e6 | + | 4.55908e6i | 1.03917 | + | 0.708497i | ||||
\(187\) | 3.00880e6 | + | 453503.i | 0.460117 | + | 0.0693514i | ||||
\(188\) | −901477. | − | 3.94963e6i | −0.135669 | − | 0.594406i | ||||
\(189\) | 4.93339e6 | − | 4.57752e6i | 0.730735 | − | 0.678023i | ||||
\(190\) | 4.85206e6 | − | 363612.i | 0.707401 | − | 0.0530124i | ||||
\(191\) | 3.45570e6 | − | 1.35626e6i | 0.495948 | − | 0.194645i | −0.104166 | − | 0.994560i | \(-0.533217\pi\) |
0.600114 | + | 0.799915i | \(0.295122\pi\) | |||||||
\(192\) | 1.09093e6 | + | 7.23782e6i | 0.154132 | + | 1.02260i | ||||
\(193\) | −8.67378e6 | − | 4.17707e6i | −1.20653 | − | 0.581032i | −0.280997 | − | 0.959709i | \(-0.590665\pi\) |
−0.925529 | + | 0.378677i | \(0.876379\pi\) | |||||||
\(194\) | −676577. | + | 1.40493e6i | −0.0926642 | + | 0.192419i | ||||
\(195\) | −2.59764e6 | + | 391531.i | −0.350328 | + | 0.0528034i | ||||
\(196\) | −166533. | − | 424319.i | −0.0221173 | − | 0.0563539i | ||||
\(197\) | 939387. | + | 1.25352e7i | 0.122870 | + | 1.63959i | 0.629198 | + | 0.777245i | \(0.283383\pi\) |
−0.506328 | + | 0.862341i | \(0.668998\pi\) | |||||||
\(198\) | −7.83729e6 | − | 8.44659e6i | −1.00965 | − | 1.08814i | ||||
\(199\) | 1.08508e7 | − | 2.47662e6i | 1.37690 | − | 0.314268i | 0.530891 | − | 0.847440i | \(-0.321857\pi\) |
0.846007 | + | 0.533172i | \(0.179000\pi\) | |||||||
\(200\) | 459989. | − | 3.05183e6i | 0.0574986 | − | 0.381478i | ||||
\(201\) | −4.86636e6 | + | 7.13763e6i | −0.599261 | + | 0.878954i | ||||
\(202\) | 4.17738e6 | + | 1.35427e7i | 0.506816 | + | 1.64306i | ||||
\(203\) | 589716. | − | 7.86921e6i | 0.0704944 | − | 0.940682i | ||||
\(204\) | −1.81623e6 | + | 1.44839e6i | −0.213934 | + | 0.170606i | ||||
\(205\) | −96376.7 | + | 312446.i | −0.0111869 | + | 0.0362671i | ||||
\(206\) | 2.04390e7 | + | 8.02173e6i | 2.33808 | + | 0.917628i | ||||
\(207\) | 1.33302e6 | − | 5.84032e6i | 0.150288 | − | 0.658455i | ||||
\(208\) | −1.11274e6 | − | 1.92733e6i | −0.123653 | − | 0.214174i | ||||
\(209\) | 8.26238e6 | + | 4.77029e6i | 0.905037 | + | 0.522523i | ||||
\(210\) | −4.62362e6 | − | 4.29009e6i | −0.499257 | − | 0.463243i | ||||
\(211\) | 1.27252e6 | + | 1.01480e6i | 0.135462 | + | 0.108027i | 0.688877 | − | 0.724878i | \(-0.258104\pi\) |
−0.553415 | + | 0.832906i | \(0.686676\pi\) | |||||||
\(212\) | 332856. | − | 226937.i | 0.0349340 | − | 0.0238176i | ||||
\(213\) | 4.67468e6 | − | 2.25121e6i | 0.483741 | − | 0.232957i | ||||
\(214\) | − | 6.50729e6i | − | 0.663985i | ||||||
\(215\) | 2.99464e6 | + | 6.18292e6i | 0.301321 | + | 0.622126i | ||||
\(216\) | 7.57980e6 | 0.752136 | ||||||||
\(217\) | −5.42653e6 | − | 1.12683e7i | −0.531059 | − | 1.10276i | ||||
\(218\) | −1.58833e7 | − | 2.32965e7i | −1.53310 | − | 2.24864i | ||||
\(219\) | 394032. | − | 494101.i | 0.0375145 | − | 0.0470417i | ||||
\(220\) | −1.17793e7 | + | 1.26951e7i | −1.10625 | + | 1.19225i | ||||
\(221\) | 1.25612e6 | − | 2.17567e6i | 0.116374 | − | 0.201565i | ||||
\(222\) | −4.92275e6 | + | 2.84215e6i | −0.449934 | + | 0.259770i | ||||
\(223\) | −1.25458e7 | − | 2.86350e6i | −1.13132 | − | 0.258216i | −0.384422 | − | 0.923157i | \(-0.625599\pi\) |
−0.746895 | + | 0.664942i | \(0.768456\pi\) | |||||||
\(224\) | 4.92280e6 | − | 1.25431e7i | 0.437994 | − | 1.11599i | ||||
\(225\) | 3.35401e6 | + | 1.03457e6i | 0.294453 | + | 0.0908268i | ||||
\(226\) | −1.01939e7 | − | 1.27827e7i | −0.883109 | − | 1.10738i | ||||
\(227\) | −71073.1 | − | 5326.19i | −0.00607614 | − | 0.000455344i | 0.0716917 | − | 0.997427i | \(-0.477160\pi\) |
−0.0777678 | + | 0.996971i | \(0.524779\pi\) | |||||||
\(228\) | −6.96024e6 | + | 2.14695e6i | −0.587246 | + | 0.181141i | ||||
\(229\) | −3.09078e6 | − | 2.10726e6i | −0.257373 | − | 0.175474i | 0.427759 | − | 0.903893i | \(-0.359303\pi\) |
−0.685132 | + | 0.728419i | \(0.740255\pi\) | |||||||
\(230\) | −1.49592e7 | − | 2.25474e6i | −1.22949 | − | 0.185316i | ||||
\(231\) | −2.75201e6 | − | 1.20573e7i | −0.223262 | − | 0.978173i | ||||
\(232\) | 6.51522e6 | − | 6.04524e6i | 0.521753 | − | 0.484116i | ||||
\(233\) | 1.48467e7 | − | 1.11260e6i | 1.17371 | − | 0.0879576i | 0.526437 | − | 0.850214i | \(-0.323528\pi\) |
0.647275 | + | 0.762256i | \(0.275908\pi\) | |||||||
\(234\) | −8.85581e6 | + | 3.47565e6i | −0.691163 | + | 0.271262i | ||||
\(235\) | −554521. | − | 3.67900e6i | −0.0427282 | − | 0.283483i | ||||
\(236\) | −1.85025e6 | − | 891034.i | −0.140765 | − | 0.0677888i | ||||
\(237\) | −3.96972e6 | + | 8.24321e6i | −0.298205 | + | 0.619229i | ||||
\(238\) | 5.96450e6 | − | 899004.i | 0.442429 | − | 0.0666854i | ||||
\(239\) | 6.00219e6 | + | 1.52933e7i | 0.439659 | + | 1.12023i | 0.963332 | + | 0.268313i | \(0.0864662\pi\) |
−0.523673 | + | 0.851919i | \(0.675439\pi\) | |||||||
\(240\) | 141234. | + | 1.88464e6i | 0.0102166 | + | 0.136331i | ||||
\(241\) | −6.07769e6 | − | 6.55020e6i | −0.434198 | − | 0.467954i | 0.477609 | − | 0.878572i | \(-0.341503\pi\) |
−0.911807 | + | 0.410618i | \(0.865313\pi\) | |||||||
\(242\) | −3.39098e7 | + | 7.73969e6i | −2.39265 | + | 0.546107i | ||||
\(243\) | −2.09276e6 | + | 1.38845e7i | −0.145848 | + | 0.967638i | ||||
\(244\) | −1.62079e7 | + | 2.37726e7i | −1.11572 | + | 1.63647i | ||||
\(245\) | −123392. | − | 400028.i | −0.00839053 | − | 0.0272014i | ||||
\(246\) | 61460.0 | − | 820127.i | 0.00412845 | − | 0.0550904i | ||||
\(247\) | 6.15855e6 | − | 4.91128e6i | 0.408684 | − | 0.325915i | ||||
\(248\) | 4.15200e6 | − | 1.34605e7i | 0.272209 | − | 0.882480i | ||||
\(249\) | 3.52960e6 | + | 1.38527e6i | 0.228627 | + | 0.0897295i | ||||
\(250\) | 5.74974e6 | − | 2.51913e7i | 0.367983 | − | 1.61224i | ||||
\(251\) | 1.04974e7 | + | 1.81820e7i | 0.663834 | + | 1.14979i | 0.979600 | + | 0.200957i | \(0.0644050\pi\) |
−0.315767 | + | 0.948837i | \(0.602262\pi\) | |||||||
\(252\) | −1.17731e7 | − | 6.79719e6i | −0.735679 | − | 0.424745i | ||||
\(253\) | −2.17448e7 | − | 2.01762e7i | −1.34274 | − | 1.24588i | ||||
\(254\) | 3.11000e7 | + | 2.48015e7i | 1.89784 | + | 1.51348i | ||||
\(255\) | −1.76273e6 | + | 1.20181e6i | −0.106308 | + | 0.0724796i | ||||
\(256\) | 6.80853e6 | − | 3.27881e6i | 0.405820 | − | 0.195433i | ||||
\(257\) | 1.68433e7i | 0.992263i | 0.868247 | + | 0.496131i | \(0.165247\pi\) | ||||
−0.868247 | + | 0.496131i | \(0.834753\pi\) | |||||||
\(258\) | −1.08041e7 | − | 1.34858e7i | −0.629115 | − | 0.785265i | ||||
\(259\) | 8.78425e6 | 0.505598 | ||||||||
\(260\) | 6.20391e6 | + | 1.28826e7i | 0.352976 | + | 0.732963i | ||||
\(261\) | 5.69393e6 | + | 8.35146e6i | 0.320251 | + | 0.469722i | ||||
\(262\) | −1.76831e7 | + | 2.21740e7i | −0.983231 | + | 1.23293i | ||||
\(263\) | −6.67409e6 | + | 7.19295e6i | −0.366880 | + | 0.395403i | −0.889329 | − | 0.457268i | \(-0.848828\pi\) |
0.522449 | + | 0.852671i | \(0.325019\pi\) | |||||||
\(264\) | 6.96461e6 | − | 1.20630e7i | 0.378516 | − | 0.655610i | ||||
\(265\) | 320410. | − | 184989.i | 0.0172174 | − | 0.00994048i | ||||
\(266\) | 1.84386e7 | + | 4.20850e6i | 0.979679 | + | 0.223605i | ||||
\(267\) | 5.96315e6 | − | 1.51939e7i | 0.313287 | − | 0.798241i | ||||
\(268\) | 4.49312e7 | + | 1.38594e7i | 2.33423 | + | 0.720015i | ||||
\(269\) | 5.73575e6 | + | 7.19241e6i | 0.294668 | + | 0.369503i | 0.907023 | − | 0.421081i | \(-0.138349\pi\) |
−0.612355 | + | 0.790583i | \(0.709778\pi\) | |||||||
\(270\) | 2.17084e7 | + | 1.62682e6i | 1.10290 | + | 0.0826509i | ||||
\(271\) | 2.87567e7 | − | 8.87028e6i | 1.44488 | − | 0.445686i | 0.529511 | − | 0.848303i | \(-0.322376\pi\) |
0.915369 | + | 0.402617i | \(0.131899\pi\) | |||||||
\(272\) | −1.49333e6 | − | 1.01813e6i | −0.0742077 | − | 0.0505939i | ||||
\(273\) | −1.00970e7 | − | 1.52188e6i | −0.496254 | − | 0.0747983i | ||||
\(274\) | −3.34864e6 | − | 1.46714e7i | −0.162786 | − | 0.713213i | ||||
\(275\) | 1.27406e7 | − | 1.18216e7i | 0.612621 | − | 0.568430i | ||||
\(276\) | 2.25834e7 | − | 1.69239e6i | 1.07414 | − | 0.0804959i | ||||
\(277\) | 5.35456e6 | − | 2.10151e6i | 0.251933 | − | 0.0988763i | −0.236014 | − | 0.971750i | \(-0.575841\pi\) |
0.487947 | + | 0.872873i | \(0.337746\pi\) | |||||||
\(278\) | −7.35776e6 | − | 4.88155e7i | −0.342461 | − | 2.27208i | ||||
\(279\) | 1.44334e7 | + | 6.95075e6i | 0.664593 | + | 0.320051i | ||||
\(280\) | −4.76316e6 | + | 9.89079e6i | −0.216980 | + | 0.450565i | ||||
\(281\) | −3.22918e7 | + | 4.86720e6i | −1.45537 | + | 0.219362i | −0.828599 | − | 0.559843i | \(-0.810861\pi\) |
−0.626770 | + | 0.779204i | \(0.715623\pi\) | |||||||
\(282\) | 3.41895e6 | + | 8.71135e6i | 0.152457 | + | 0.388453i | ||||
\(283\) | 875387. | + | 1.16812e7i | 0.0386225 | + | 0.515382i | 0.982644 | + | 0.185499i | \(0.0593902\pi\) |
−0.944022 | + | 0.329883i | \(0.892991\pi\) | |||||||
\(284\) | −1.92087e7 | − | 2.07020e7i | −0.838575 | − | 0.903769i | ||||
\(285\) | −6.52165e6 | + | 1.48852e6i | −0.281723 | + | 0.0643015i | ||||
\(286\) | −7.02105e6 | + | 4.65816e7i | −0.300126 | + | 1.99121i | ||||
\(287\) | −715945. | + | 1.05010e6i | −0.0302854 | + | 0.0444206i | ||||
\(288\) | 5.08727e6 | + | 1.64925e7i | 0.212965 | + | 0.690414i | ||||
\(289\) | −1.65133e6 | + | 2.20355e7i | −0.0684134 | + | 0.912914i | ||||
\(290\) | 1.99569e7 | − | 1.59151e7i | 0.818275 | − | 0.652552i | ||||
\(291\) | 631899. | − | 2.04857e6i | 0.0256430 | − | 0.0831325i | ||||
\(292\) | −3.20206e6 | − | 1.25671e6i | −0.128612 | − | 0.0504764i | ||||
\(293\) | −3.65842e6 | + | 1.60286e7i | −0.145442 | + | 0.637225i | 0.848675 | + | 0.528915i | \(0.177401\pi\) |
−0.994117 | + | 0.108310i | \(0.965456\pi\) | |||||||
\(294\) | 526481. | + | 911892.i | 0.0207177 | + | 0.0358840i | ||||
\(295\) | −1.63334e6 | − | 943007.i | −0.0636223 | − | 0.0367324i | ||||
\(296\) | 7.25248e6 | + | 6.72932e6i | 0.279648 | + | 0.259475i | ||||
\(297\) | 3.33725e7 | + | 2.66137e7i | 1.27385 | + | 1.01586i | ||||
\(298\) | 4.22730e7 | − | 2.88212e7i | 1.59740 | − | 1.08909i | ||||
\(299\) | −2.20658e7 | + | 1.06263e7i | −0.825481 | + | 0.397530i | ||||
\(300\) | 1.32691e7i | 0.491448i | ||||||||
\(301\) | 4.03916e6 | + | 2.63962e7i | 0.148112 | + | 0.967927i | ||||
\(302\) | −6.16881e7 | −2.23965 | ||||||||
\(303\) | −8.45393e6 | − | 1.75548e7i | −0.303900 | − | 0.631055i | ||||
\(304\) | −3.19234e6 | − | 4.68230e6i | −0.113629 | − | 0.166663i | ||||
\(305\) | −1.64750e7 | + | 2.06590e7i | −0.580664 | + | 0.728130i | ||||
\(306\) | −5.25510e6 | + | 5.66365e6i | −0.183407 | + | 0.197666i | ||||
\(307\) | 2.51020e7 | − | 4.34780e7i | 0.867548 | − | 1.50264i | 0.00305263 | − | 0.999995i | \(-0.499028\pi\) |
0.864495 | − | 0.502641i | \(-0.167638\pi\) | |||||||
\(308\) | −5.82969e7 | + | 3.36577e7i | −1.99523 | + | 1.15195i | ||||
\(309\) | −2.94296e7 | − | 6.71712e6i | −0.997492 | − | 0.227671i | ||||
\(310\) | 1.47802e7 | − | 3.76593e7i | 0.496129 | − | 1.26412i | ||||
\(311\) | −2.20021e7 | − | 6.78676e6i | −0.731449 | − | 0.225622i | −0.0934114 | − | 0.995628i | \(-0.529777\pi\) |
−0.638037 | + | 0.770006i | \(0.720253\pi\) | |||||||
\(312\) | −7.17045e6 | − | 8.99146e6i | −0.236093 | − | 0.296051i | ||||
\(313\) | −3.65020e7 | − | 2.73544e6i | −1.19037 | − | 0.0892062i | −0.535227 | − | 0.844708i | \(-0.679774\pi\) |
−0.655146 | + | 0.755502i | \(0.727393\pi\) | |||||||
\(314\) | −8.99351e7 | + | 2.77413e7i | −2.90496 | + | 0.896062i | ||||
\(315\) | −1.03155e7 | − | 7.03297e6i | −0.330033 | − | 0.225013i | ||||
\(316\) | 4.92429e7 | + | 7.42218e6i | 1.56057 | + | 0.235218i | ||||
\(317\) | −5.11567e6 | − | 2.24132e7i | −0.160592 | − | 0.703601i | −0.989538 | − | 0.144272i | \(-0.953916\pi\) |
0.828946 | − | 0.559329i | \(-0.188941\pi\) | |||||||
\(318\) | −682176. | + | 632967.i | −0.0212136 | + | 0.0196834i | ||||
\(319\) | 4.99110e7 | − | 3.74031e6i | 1.53753 | − | 0.115222i | ||||
\(320\) | 3.40594e7 | − | 1.33673e7i | 1.03941 | − | 0.407938i | ||||
\(321\) | 1.33337e6 | + | 8.84635e6i | 0.0403122 | + | 0.267454i | ||||
\(322\) | −5.29799e7 | − | 2.55138e7i | −1.58688 | − | 0.764200i | ||||
\(323\) | 2.77564e6 | − | 5.76368e6i | 0.0823675 | − | 0.171038i | ||||
\(324\) | −3.04692e6 | + | 459249.i | −0.0895831 | + | 0.0135025i | ||||
\(325\) | −5.24258e6 | − | 1.33579e7i | −0.152720 | − | 0.389123i | ||||
\(326\) | 4.28292e6 | + | 5.71516e7i | 0.123619 | + | 1.64959i | ||||
\(327\) | 2.63661e7 | + | 2.84159e7i | 0.754054 | + | 0.812677i | ||||
\(328\) | −1.39555e6 | + | 318524.i | −0.0395478 | + | 0.00902653i | ||||
\(329\) | 2.15542e6 | − | 1.43003e7i | 0.0605262 | − | 0.401565i | ||||
\(330\) | 2.25355e7 | − | 3.30535e7i | 0.627084 | − | 0.919763i | ||||
\(331\) | −1.15830e7 | − | 3.75513e7i | −0.319403 | − | 1.03548i | −0.962861 | − | 0.269997i | \(-0.912977\pi\) |
0.643458 | − | 0.765481i | \(-0.277499\pi\) | |||||||
\(332\) | 1.54229e6 | − | 2.05804e7i | 0.0421456 | − | 0.562393i | ||||
\(333\) | −8.79685e6 | + | 7.01526e6i | −0.238229 | + | 0.189981i | ||||
\(334\) | 2.50468e7 | − | 8.11997e7i | 0.672222 | − | 2.17929i | ||||
\(335\) | 4.01975e7 | + | 1.57764e7i | 1.06922 | + | 0.419636i | ||||
\(336\) | −1.63467e6 | + | 7.16195e6i | −0.0430935 | + | 0.188805i | ||||
\(337\) | 8.48198e6 | + | 1.46912e7i | 0.221619 | + | 0.383856i | 0.955300 | − | 0.295639i | \(-0.0955324\pi\) |
−0.733680 | + | 0.679495i | \(0.762199\pi\) | |||||||
\(338\) | −1.88746e7 | − | 1.08972e7i | −0.488795 | − | 0.282206i | ||||
\(339\) | 1.64773e7 | + | 1.52887e7i | 0.422949 | + | 0.392439i | ||||
\(340\) | 9.07883e6 | + | 7.24012e6i | 0.230990 | + | 0.184208i | ||||
\(341\) | 6.55420e7 | − | 4.46857e7i | 1.65294 | − | 1.12695i | ||||
\(342\) | −2.18261e7 | + | 1.05109e7i | −0.545629 | + | 0.262761i | ||||
\(343\) | − | 4.11412e7i | − | 1.01952i | ||||||
\(344\) | −1.68864e7 | + | 2.48876e7i | −0.414823 | + | 0.611375i | ||||
\(345\) | 2.07984e7 | 0.506492 | ||||||||
\(346\) | −7.54333e6 | − | 1.56639e7i | −0.182110 | − | 0.378156i | ||||
\(347\) | −4.58676e7 | − | 6.72754e7i | −1.09779 | − | 1.61016i | −0.734687 | − | 0.678406i | \(-0.762671\pi\) |
−0.363099 | − | 0.931750i | \(-0.618281\pi\) | |||||||
\(348\) | −2.38247e7 | + | 2.98752e7i | −0.565314 | + | 0.708881i | ||||
\(349\) | −4.27801e7 | + | 4.61060e7i | −1.00639 | + | 1.08463i | −0.00997912 | + | 0.999950i | \(0.503177\pi\) |
−0.996408 | + | 0.0846776i | \(0.973014\pi\) | |||||||
\(350\) | 1.72269e7 | − | 2.98379e7i | 0.401793 | − | 0.695927i | ||||
\(351\) | 3.05209e7 | − | 1.76212e7i | 0.705790 | − | 0.407488i | ||||
\(352\) | 8.33204e7 | + | 1.90173e7i | 1.91040 | + | 0.436036i | ||||
\(353\) | −1.89111e7 | + | 4.81847e7i | −0.429925 | + | 1.09543i | 0.537722 | + | 0.843122i | \(0.319285\pi\) |
−0.967647 | + | 0.252309i | \(0.918810\pi\) | |||||||
\(354\) | 4.53310e6 | + | 1.39828e6i | 0.102185 | + | 0.0315198i | ||||
\(355\) | −1.61708e7 | − | 2.02775e7i | −0.361449 | − | 0.453242i | ||||
\(356\) | −8.85925e7 | − | 6.63909e6i | −1.96357 | − | 0.147149i | ||||
\(357\) | −7.92425e6 | + | 2.44431e6i | −0.174162 | + | 0.0537219i | ||||
\(358\) | 2.91113e7 | + | 1.98477e7i | 0.634472 | + | 0.432575i | ||||
\(359\) | 2.04226e7 | + | 3.07821e6i | 0.441395 | + | 0.0665296i | 0.365980 | − | 0.930623i | \(-0.380734\pi\) |
0.0754150 | + | 0.997152i | \(0.475972\pi\) | |||||||
\(360\) | −3.12897e6 | − | 1.37089e7i | −0.0670648 | − | 0.293830i | ||||
\(361\) | −1.97833e7 | + | 1.83562e7i | −0.420511 | + | 0.390177i | ||||
\(362\) | 1.57368e7 | − | 1.17931e6i | 0.331735 | − | 0.0248601i | ||||
\(363\) | 4.45129e7 | − | 1.74700e7i | 0.930607 | − | 0.365236i | ||||
\(364\) | 8.28352e6 | + | 5.49576e7i | 0.171756 | + | 1.13952i | ||||
\(365\) | −2.84624e6 | − | 1.37068e6i | −0.0585320 | − | 0.0281875i | ||||
\(366\) | 2.88373e7 | − | 5.98813e7i | 0.588182 | − | 1.22137i | ||||
\(367\) | −9.28704e7 | + | 1.39980e7i | −1.87879 | + | 0.283183i | −0.985932 | − | 0.167148i | \(-0.946544\pi\) |
−0.892862 | + | 0.450330i | \(0.851306\pi\) | |||||||
\(368\) | 6.43721e6 | + | 1.64017e7i | 0.129168 | + | 0.329114i | ||||
\(369\) | −121655. | − | 1.62337e6i | −0.00242131 | − | 0.0323101i | ||||
\(370\) | 1.93267e7 | + | 2.08292e7i | 0.381550 | + | 0.411213i | ||||
\(371\) | 1.40204e6 | − | 320007.i | 0.0274561 | − | 0.00626669i | ||||
\(372\) | −9.02629e6 | + | 5.98855e7i | −0.175340 | + | 1.16330i | ||||
\(373\) | 1.51062e6 | − | 2.21567e6i | 0.0291090 | − | 0.0426951i | −0.811408 | − | 0.584480i | \(-0.801299\pi\) |
0.840517 | + | 0.541784i | \(0.182251\pi\) | |||||||
\(374\) | 1.12766e7 | + | 3.65579e7i | 0.215558 | + | 0.698822i | ||||
\(375\) | −2.65470e6 | + | 3.54245e7i | −0.0503410 | + | 0.671753i | ||||
\(376\) | 1.27345e7 | − | 1.01554e7i | 0.239562 | − | 0.191045i | ||||
\(377\) | 1.21805e7 | − | 3.94881e7i | 0.227321 | − | 0.736958i | ||||
\(378\) | 7.87677e7 | + | 3.09140e7i | 1.45839 | + | 0.572374i | ||||
\(379\) | 1.90629e7 | − | 8.35200e7i | 0.350164 | − | 1.53417i | −0.426638 | − | 0.904422i | \(-0.640302\pi\) |
0.776802 | − | 0.629745i | \(-0.216841\pi\) | |||||||
\(380\) | 1.82050e7 | + | 3.15320e7i | 0.331772 | + | 0.574646i | ||||
\(381\) | −4.73610e7 | − | 2.73439e7i | −0.856340 | − | 0.494408i | ||||
\(382\) | 3.42158e7 | + | 3.17476e7i | 0.613814 | + | 0.569536i | ||||
\(383\) | 3.71067e7 | + | 2.95916e7i | 0.660475 | + | 0.526711i | 0.895378 | − | 0.445308i | \(-0.146906\pi\) |
−0.234902 | + | 0.972019i | \(0.575477\pi\) | |||||||
\(384\) | −3.93680e7 | + | 2.68407e7i | −0.695264 | + | 0.474023i | ||||
\(385\) | −5.56992e7 | + | 2.68233e7i | −0.976038 | + | 0.470035i | ||||
\(386\) | − | 1.21045e8i | − | 2.10467i | ||||||
\(387\) | −2.51255e7 | − | 2.32084e7i | −0.433492 | − | 0.400416i | ||||
\(388\) | −1.16687e7 | −0.199768 | ||||||||
\(389\) | 1.93276e7 | + | 4.01342e7i | 0.328344 | + | 0.681814i | 0.998155 | − | 0.0607180i | \(-0.0193390\pi\) |
−0.669811 | + | 0.742532i | \(0.733625\pi\) | |||||||
\(390\) | −1.86062e7 | − | 2.72903e7i | −0.313664 | − | 0.460060i | ||||
\(391\) | −1.24012e7 | + | 1.55506e7i | −0.207460 | + | 0.260147i | ||||
\(392\) | 1.24654e6 | − | 1.34345e6i | 0.0206942 | − | 0.0223030i | ||||
\(393\) | 1.94959e7 | − | 3.37678e7i | 0.321192 | − | 0.556321i | ||||
\(394\) | −1.36876e8 | + | 7.90252e7i | −2.23788 | + | 1.29204i | ||||
\(395\) | 4.45881e7 | + | 1.01769e7i | 0.723482 | + | 0.165130i | ||||
\(396\) | 3.15009e7 | − | 8.02630e7i | 0.507268 | − | 1.29250i | ||||
\(397\) | 9.28251e6 | + | 2.86327e6i | 0.148352 | + | 0.0457606i | 0.368042 | − | 0.929809i | \(-0.380028\pi\) |
−0.219690 | + | 0.975570i | \(0.570504\pi\) | |||||||
\(398\) | 8.72498e7 | + | 1.09408e8i | 1.38393 | + | 1.73540i | ||||
\(399\) | −2.59288e7 | − | 1.94309e6i | −0.408191 | − | 0.0305897i | ||||
\(400\) | −9.86503e6 | + | 3.04296e6i | −0.154141 | + | 0.0475462i | ||||
\(401\) | −2.65263e7 | − | 1.80853e7i | −0.411380 | − | 0.280474i | 0.339895 | − | 0.940463i | \(-0.389609\pi\) |
−0.751275 | + | 0.659989i | \(0.770561\pi\) | |||||||
\(402\) | −1.07403e8 | − | 1.61884e7i | −1.65325 | − | 0.249188i | ||||
\(403\) | −1.45739e7 | − | 6.38524e7i | −0.222669 | − | 0.975578i | ||||
\(404\) | −7.77420e7 | + | 7.21340e7i | −1.17899 | + | 1.09395i | ||||
\(405\) | −2.82194e6 | + | 211475.i | −0.0424798 | + | 0.00318342i | ||||
\(406\) | 9.23601e7 | − | 3.62487e7i | 1.38009 | − | 0.541644i | ||||
\(407\) | 8.30384e6 | + | 5.50924e7i | 0.123167 | + | 0.817163i | ||||
\(408\) | −8.41495e6 | − | 4.05243e6i | −0.123900 | − | 0.0596671i | ||||
\(409\) | 5.08541e7 | − | 1.05600e8i | 0.743286 | − | 1.54345i | −0.0933141 | − | 0.995637i | \(-0.529746\pi\) |
0.836601 | − | 0.547813i | \(-0.184540\pi\) | |||||||
\(410\) | −4.06518e6 | + | 612727.i | −0.0589831 | + | 0.00889027i | ||||
\(411\) | 7.55856e6 | + | 1.92589e7i | 0.108871 | + | 0.277400i | ||||
\(412\) | 1.22784e7 | + | 1.63844e8i | 0.175571 | + | 2.34283i | ||||
\(413\) | −4.98629e6 | − | 5.37395e6i | −0.0707828 | − | 0.0762857i | ||||
\(414\) | 7.34317e7 | − | 1.67603e7i | 1.03486 | − | 0.236201i | ||||
\(415\) | 2.82491e6 | − | 1.87420e7i | 0.0395239 | − | 0.262224i | ||||
\(416\) | 3.97489e7 | − | 5.83009e7i | 0.552135 | − | 0.809833i | ||||
\(417\) | 2.00051e7 | + | 6.48548e7i | 0.275887 | + | 0.894404i | ||||
\(418\) | −8.96431e6 | + | 1.19620e8i | −0.122741 | + | 1.63786i | ||||
\(419\) | −1.03766e8 | + | 8.27508e7i | −1.41063 | + | 1.12494i | −0.436306 | + | 0.899798i | \(0.643714\pi\) |
−0.974326 | + | 0.225143i | \(0.927715\pi\) | |||||||
\(420\) | 1.39119e7 | − | 4.51013e7i | 0.187775 | − | 0.608753i | ||||
\(421\) | 3.25363e6 | + | 1.27696e6i | 0.0436036 | + | 0.0171131i | 0.387043 | − | 0.922062i | \(-0.373497\pi\) |
−0.343439 | + | 0.939175i | \(0.611592\pi\) | |||||||
\(422\) | −4.55375e6 | + | 1.99513e7i | −0.0605944 | + | 0.265481i | ||||
\(423\) | 9.26193e6 | + | 1.60421e7i | 0.122372 | + | 0.211954i | ||||
\(424\) | 1.40271e6 | + | 809853.i | 0.0184022 | + | 0.0106245i | ||||
\(425\) | −8.54290e6 | − | 7.92666e6i | −0.111286 | − | 0.103258i | ||||
\(426\) | 5.10037e7 | + | 4.06741e7i | 0.659740 | + | 0.526125i | ||||
\(427\) | −8.48622e7 | + | 5.78581e7i | −1.09001 | + | 0.743157i | ||||
\(428\) | 4.38720e7 | − | 2.11277e7i | 0.559573 | − | 0.269476i | ||||
\(429\) | − | 6.47642e7i | − | 0.820282i | ||||||
\(430\) | −5.37039e7 | + | 6.76533e7i | −0.675462 | + | 0.850910i | ||||
\(431\) | 5.40553e7 | 0.675160 | 0.337580 | − | 0.941297i | \(-0.390392\pi\) | ||||
0.337580 | + | 0.941297i | \(0.390392\pi\) | |||||||
\(432\) | −1.10009e7 | − | 2.28436e7i | −0.136451 | − | 0.283344i | ||||
\(433\) | 4.48665e7 | + | 6.58071e7i | 0.552661 | + | 0.810605i | 0.996331 | − | 0.0855857i | \(-0.0272761\pi\) |
−0.443670 | + | 0.896190i | \(0.646324\pi\) | |||||||
\(434\) | 9.80448e7 | − | 1.22944e8i | 1.19938 | − | 1.50397i | ||||
\(435\) | −2.38694e7 | + | 2.57251e7i | −0.289984 | + | 0.312528i | ||||
\(436\) | 1.05495e8 | − | 1.82723e8i | 1.27284 | − | 2.20462i | ||||
\(437\) | −5.40094e7 | + | 3.11824e7i | −0.647180 | + | 0.373650i | ||||
\(438\) | 7.74678e6 | + | 1.76815e6i | 0.0921933 | + | 0.0210425i | ||||
\(439\) | −1.40931e7 | + | 3.59087e7i | −0.166577 | + | 0.424430i | −0.989650 | − | 0.143505i | \(-0.954163\pi\) |
0.823073 | + | 0.567936i | \(0.192258\pi\) | |||||||
\(440\) | −6.65350e7 | − | 2.05233e7i | −0.781074 | − | 0.240929i | ||||
\(441\) | 1.29951e6 | + | 1.62953e6i | 0.0151518 | + | 0.0189997i | ||||
\(442\) | 3.14987e7 | + | 2.36050e6i | 0.364775 | + | 0.0273361i | ||||
\(443\) | −1.09503e8 | + | 3.37772e7i | −1.25955 | + | 0.388519i | −0.851458 | − | 0.524423i | \(-0.824281\pi\) |
−0.408089 | + | 0.912942i | \(0.633805\pi\) | |||||||
\(444\) | −3.51448e7 | − | 2.39613e7i | −0.401525 | − | 0.273755i | ||||
\(445\) | −8.06788e7 | − | 1.21604e7i | −0.915544 | − | 0.137996i | ||||
\(446\) | −3.60034e7 | − | 1.57741e8i | −0.405826 | − | 1.77804i | ||||
\(447\) | −5.15625e7 | + | 4.78430e7i | −0.577313 | + | 0.535668i | ||||
\(448\) | 1.41822e8 | − | 1.06281e7i | 1.57728 | − | 0.118201i | ||||
\(449\) | −1.75099e7 | + | 6.87213e6i | −0.193439 | + | 0.0759193i | −0.460083 | − | 0.887876i | \(-0.652180\pi\) |
0.266644 | + | 0.963795i | \(0.414085\pi\) | |||||||
\(450\) | 6.57743e6 | + | 4.36384e7i | 0.0721803 | + | 0.478885i | ||||
\(451\) | −7.26272e6 | − | 3.49754e6i | −0.0791716 | − | 0.0381270i | ||||
\(452\) | 5.30837e7 | − | 1.10230e8i | 0.574839 | − | 1.19367i | ||||
\(453\) | 8.38622e7 | − | 1.26402e7i | 0.902135 | − | 0.135975i | ||||
\(454\) | −327391. | − | 834178.i | −0.00349864 | − | 0.00891438i | ||||
\(455\) | 3.81439e6 | + | 5.08996e7i | 0.0404941 | + | 0.540356i | ||||
\(456\) | −1.99189e7 | − | 2.14674e7i | −0.210073 | − | 0.226405i | ||||
\(457\) | 8.97900e7 | − | 2.04940e7i | 0.940761 | − | 0.214723i | 0.275473 | − | 0.961309i | \(-0.411166\pi\) |
0.665288 | + | 0.746586i | \(0.268309\pi\) | |||||||
\(458\) | 7.01002e6 | − | 4.65084e7i | 0.0729664 | − | 0.484100i | ||||
\(459\) | 1.61230e7 | − | 2.36481e7i | 0.166728 | − | 0.244545i | ||||
\(460\) | −3.33678e7 | − | 1.08176e8i | −0.342810 | − | 1.11136i | ||||
\(461\) | −4.40517e6 | + | 5.87829e7i | −0.0449635 | + | 0.599996i | 0.928526 | + | 0.371266i | \(0.121076\pi\) |
−0.973490 | + | 0.228730i | \(0.926543\pi\) | |||||||
\(462\) | 1.21574e8 | − | 9.69517e7i | 1.23286 | − | 0.983172i | ||||
\(463\) | 2.81836e7 | − | 9.13689e7i | 0.283957 | − | 0.920567i | −0.695433 | − | 0.718591i | \(-0.744787\pi\) |
0.979390 | − | 0.201976i | \(-0.0647364\pi\) | |||||||
\(464\) | −2.76747e7 | − | 1.08615e7i | −0.277031 | − | 0.108727i | ||||
\(465\) | −1.23764e7 | + | 5.42246e7i | −0.123094 | + | 0.539309i | ||||
\(466\) | 9.35970e7 | + | 1.62115e8i | 0.924920 | + | 1.60201i | ||||
\(467\) | −9.88340e7 | − | 5.70618e7i | −0.970411 | − | 0.560267i | −0.0710493 | − | 0.997473i | \(-0.522635\pi\) |
−0.899361 | + | 0.437206i | \(0.855968\pi\) | |||||||
\(468\) | −5.21855e7 | − | 4.84211e7i | −0.509111 | − | 0.472386i | ||||
\(469\) | 1.31231e8 | + | 1.04653e8i | 1.27209 | + | 1.01446i | ||||
\(470\) | 3.86510e7 | − | 2.63518e7i | 0.372278 | − | 0.253815i | ||||
\(471\) | 1.16578e8 | − | 5.61411e7i | 1.11572 | − | 0.537302i | ||||
\(472\) | − | 8.25669e6i | − | 0.0785199i | ||||||
\(473\) | −1.61732e8 | + | 5.02851e7i | −1.52831 | + | 0.475178i | ||||
\(474\) | −1.15036e8 | −1.08018 | ||||||||
\(475\) | −1.58543e7 | − | 3.29219e7i | −0.147934 | − | 0.307188i | ||||
\(476\) | 2.54264e7 | + | 3.72937e7i | 0.235757 | + | 0.345792i | ||||
\(477\) | −1.14849e6 | + | 1.44016e6i | −0.0105821 | + | 0.0132696i | ||||
\(478\) | −1.40500e8 | + | 1.51423e8i | −1.28645 | + | 1.38646i | ||||
\(479\) | −3.09923e6 | + | 5.36802e6i | −0.0281999 | + | 0.0488436i | −0.879781 | − | 0.475379i | \(-0.842311\pi\) |
0.851581 | + | 0.524223i | \(0.175644\pi\) | |||||||
\(480\) | −5.18943e7 | + | 2.99612e7i | −0.469241 | + | 0.270917i | ||||
\(481\) | 4.48470e7 | + | 1.02360e7i | 0.402993 | + | 0.0919806i | ||||
\(482\) | 4.10454e7 | − | 1.04582e8i | 0.366542 | − | 0.933933i | ||||
\(483\) | 7.72516e7 | + | 2.38290e7i | 0.685593 | + | 0.211477i | ||||
\(484\) | −1.62278e8 | − | 2.03490e8i | −1.43128 | − | 1.79477i | ||||
\(485\) | −1.06864e7 | − | 800832.i | −0.0936709 | − | 0.00701966i | ||||
\(486\) | −1.68702e8 | + | 5.20376e7i | −1.46964 | + | 0.453324i | ||||
\(487\) | −1.54615e8 | − | 1.05415e8i | −1.33864 | − | 0.912672i | −0.339039 | − | 0.940772i | \(-0.610102\pi\) |
−0.999605 | + | 0.0281007i | \(0.991054\pi\) | |||||||
\(488\) | −1.14387e8 | − | 1.72411e7i | −0.984280 | − | 0.148356i | ||||
\(489\) | −1.75330e7 | − | 7.68173e7i | −0.149945 | − | 0.656950i | ||||
\(490\) | 3.85840e6 | − | 3.58007e6i | 0.0327959 | − | 0.0304301i | ||||
\(491\) | 1.16459e8 | − | 8.72742e6i | 0.983852 | − | 0.0737295i | 0.426922 | − | 0.904289i | \(-0.359598\pi\) |
0.556931 | + | 0.830559i | \(0.311979\pi\) | |||||||
\(492\) | 5.72883e6 | − | 2.24840e6i | 0.0481028 | − | 0.0188790i | ||||
\(493\) | −5.00192e6 | − | 3.31856e7i | −0.0417442 | − | 0.276955i | ||||
\(494\) | 8.92322e7 | + | 4.29720e7i | 0.740186 | + | 0.356455i | ||||
\(495\) | 3.43576e7 | − | 7.13442e7i | 0.283274 | − | 0.588225i | ||||
\(496\) | −4.65924e7 | + | 7.02267e6i | −0.381830 | + | 0.0575516i | ||||
\(497\) | −3.68311e7 | − | 9.38440e7i | −0.300016 | − | 0.764429i | ||||
\(498\) | 3.56268e6 | + | 4.75407e7i | 0.0288462 | + | 0.384926i | ||||
\(499\) | 4.50562e7 | + | 4.85590e7i | 0.362621 | + | 0.390812i | 0.887838 | − | 0.460156i | \(-0.152207\pi\) |
−0.525218 | + | 0.850968i | \(0.676016\pi\) | |||||||
\(500\) | 1.88507e8 | − | 4.30255e7i | 1.50806 | − | 0.344204i | ||||
\(501\) | −1.74118e7 | + | 1.15519e8i | −0.138462 | + | 0.918633i | ||||
\(502\) | −1.48700e8 | + | 2.18103e8i | −1.17544 | + | 1.72406i | ||||
\(503\) | 6.21004e7 | + | 2.01325e8i | 0.487967 | + | 1.58195i | 0.780153 | + | 0.625589i | \(0.215141\pi\) |
−0.292186 | + | 0.956362i | \(0.594383\pi\) | |||||||
\(504\) | 4.08451e6 | − | 5.45040e7i | 0.0319043 | − | 0.425733i | ||||
\(505\) | −7.61480e7 | + | 6.07260e7i | −0.591268 | + | 0.471520i | ||||
\(506\) | 1.09933e8 | − | 3.56394e8i | 0.848548 | − | 2.75092i | ||||
\(507\) | 2.78920e7 | + | 1.09468e7i | 0.214020 | + | 0.0839968i | ||||
\(508\) | −6.62364e7 | + | 2.90201e8i | −0.505249 | + | 2.21364i | ||||
\(509\) | −8.78132e7 | − | 1.52097e8i | −0.665896 | − | 1.15337i | −0.979042 | − | 0.203660i | \(-0.934716\pi\) |
0.313146 | − | 0.949705i | \(-0.398617\pi\) | |||||||
\(510\) | −2.32305e7 | − | 1.34121e7i | −0.175125 | − | 0.101108i | ||||
\(511\) | −9.00141e6 | − | 8.35209e6i | −0.0674603 | − | 0.0625940i | ||||
\(512\) | −6.36394e7 | − | 5.07507e7i | −0.474150 | − | 0.378122i | ||||
\(513\) | 7.41482e7 | − | 5.05534e7i | 0.549223 | − | 0.374454i | ||||
\(514\) | −1.90802e8 | + | 9.18853e7i | −1.40505 | + | 0.676638i | ||||
\(515\) | 1.50894e8i | 1.10472i | ||||||||
\(516\) | 5.58424e7 | − | 1.16626e8i | 0.406457 | − | 0.848882i | ||||
\(517\) | 9.17248e7 | 0.663767 | ||||||||
\(518\) | 4.79209e7 | + | 9.95087e7i | 0.344775 | + | 0.715932i | ||||
\(519\) | 1.34644e7 | + | 1.97487e7i | 0.0963131 | + | 0.141265i | ||||
\(520\) | −3.58432e7 | + | 4.49459e7i | −0.254916 | + | 0.319654i | ||||
\(521\) | 6.35213e6 | − | 6.84597e6i | 0.0449166 | − | 0.0484085i | −0.710194 | − | 0.704006i | \(-0.751393\pi\) |
0.755110 | + | 0.655598i | \(0.227583\pi\) | |||||||
\(522\) | −6.35438e7 | + | 1.10061e8i | −0.446747 | + | 0.773789i | ||||
\(523\) | 1.01960e8 | − | 5.88664e7i | 0.712726 | − | 0.411493i | −0.0993434 | − | 0.995053i | \(-0.531674\pi\) |
0.812070 | + | 0.583561i | \(0.198341\pi\) | |||||||
\(524\) | −2.06910e8 | − | 4.72258e7i | −1.43809 | − | 0.328235i | ||||
\(525\) | −1.73052e7 | + | 4.40931e7i | −0.119591 | + | 0.304714i | ||||
\(526\) | −1.17892e8 | − | 3.63647e7i | −0.810076 | − | 0.249875i | ||||
\(527\) | −3.31634e7 | − | 4.15855e7i | −0.226583 | − | 0.284126i | ||||
\(528\) | −4.64630e7 | − | 3.48192e6i | −0.315650 | − | 0.0236547i | ||||
\(529\) | 4.38293e7 | − | 1.35195e7i | 0.296072 | − | 0.0913261i | ||||
\(530\) | 3.84350e6 | + | 2.62046e6i | 0.0258166 | + | 0.0176015i | ||||
\(531\) | 9.28518e6 | + | 1.39952e6i | 0.0620164 | + | 0.00934747i | ||||
\(532\) | 3.14923e7 | + | 1.37977e8i | 0.209156 | + | 0.916372i | ||||
\(533\) | −4.87882e6 | + | 4.52688e6i | −0.0322206 | + | 0.0298963i | ||||
\(534\) | 2.04648e8 | − | 1.53363e7i | 1.34395 | − | 0.100715i | ||||
\(535\) | 4.16287e7 | − | 1.63381e7i | 0.271851 | − | 0.106694i | ||||
\(536\) | 2.81760e7 | + | 1.86935e8i | 0.182972 | + | 1.21394i | ||||
\(537\) | −4.36423e7 | − | 2.10170e7i | −0.281829 | − | 0.135721i | ||||
\(538\) | −5.01858e7 | + | 1.04212e8i | −0.322281 | + | 0.669223i | ||||
\(539\) | 1.02053e7 | − | 1.53821e6i | 0.0651719 | − | 0.00982309i | ||||
\(540\) | 5.95141e7 | + | 1.51640e8i | 0.377954 | + | 0.963011i | ||||
\(541\) | −1.01960e7 | − | 1.36056e8i | −0.0643929 | − | 0.859264i | −0.932103 | − | 0.362193i | \(-0.882028\pi\) |
0.867710 | − | 0.497071i | \(-0.165591\pi\) | |||||||
\(542\) | 2.57360e8 | + | 2.77368e8i | 1.61638 | + | 1.74204i | ||||
\(543\) | −2.11518e7 | + | 4.82776e6i | −0.132114 | + | 0.0301541i | ||||
\(544\) | 8.54090e6 | − | 5.66652e7i | 0.0530526 | − | 0.351981i | ||||
\(545\) | 1.09155e8 | − | 1.60100e8i | 0.674299 | − | 0.989015i | ||||
\(546\) | −3.78423e7 | − | 1.22682e8i | −0.232488 | − | 0.753707i | ||||
\(547\) | 4.33489e6 | − | 5.78451e7i | 0.0264860 | − | 0.353431i | −0.968178 | − | 0.250263i | \(-0.919483\pi\) |
0.994664 | − | 0.103168i | \(-0.0328980\pi\) | |||||||
\(548\) | 8.80419e7 | − | 7.02111e7i | 0.534992 | − | 0.426642i | ||||
\(549\) | 3.87775e7 | − | 1.25714e8i | 0.234349 | − | 0.759740i | ||||
\(550\) | 2.03420e8 | + | 7.98363e7i | 1.22266 | + | 0.479858i | ||||
\(551\) | 2.34154e7 | − | 1.02590e8i | 0.139974 | − | 0.613266i | ||||
\(552\) | 4.55261e7 | + | 7.88536e7i | 0.270672 | + | 0.468818i | ||||
\(553\) | 1.53954e8 | + | 8.88853e7i | 0.910364 | + | 0.525599i | ||||
\(554\) | 5.30169e7 | + | 4.91925e7i | 0.311807 | + | 0.289314i | ||||
\(555\) | −3.05417e7 | − | 2.43562e7i | −0.178655 | − | 0.142472i | ||||
\(556\) | 3.05225e8 | − | 2.08099e8i | 1.77580 | − | 1.21072i | ||||
\(557\) | 1.69472e8 | − | 8.16136e7i | 0.980694 | − | 0.472277i | 0.126350 | − | 0.991986i | \(-0.459674\pi\) |
0.854344 | + | 0.519708i | \(0.173959\pi\) | |||||||
\(558\) | 2.01421e8i | 1.15932i | ||||||||
\(559\) | −1.01373e7 | + | 1.39470e8i | −0.0580346 | + | 0.798444i | ||||
\(560\) | 3.67213e7 | 0.209100 | ||||||||
\(561\) | −2.28209e7 | − | 4.73881e7i | −0.129254 | − | 0.268399i | ||||
\(562\) | −2.31298e8 | − | 3.39252e8i | −1.30306 | − | 1.91123i | ||||
\(563\) | −8.12453e7 | + | 1.01878e8i | −0.455274 | + | 0.570896i | −0.955497 | − | 0.295001i | \(-0.904680\pi\) |
0.500223 | + | 0.865897i | \(0.333251\pi\) | |||||||
\(564\) | −4.76313e7 | + | 5.13343e7i | −0.265494 | + | 0.286135i | ||||
\(565\) | 5.61801e7 | − | 9.73068e7i | 0.311485 | − | 0.539508i | ||||
\(566\) | −1.27550e8 | + | 7.36412e7i | −0.703449 | + | 0.406136i | ||||
\(567\) | −1.07238e7 | − | 2.44764e6i | −0.0588302 | − | 0.0134276i | ||||
\(568\) | 4.14822e7 | − | 1.05695e8i | 0.226369 | − | 0.576778i | ||||
\(569\) | 3.42252e8 | + | 1.05571e8i | 1.85784 | + | 0.573069i | 0.998049 | + | 0.0624302i | \(0.0198851\pi\) |
0.859795 | + | 0.510639i | \(0.170591\pi\) | |||||||
\(570\) | −5.24398e7 | − | 6.57574e7i | −0.283163 | − | 0.355075i | ||||
\(571\) | 3.01734e8 | + | 2.26118e7i | 1.62075 | + | 0.121458i | 0.853923 | − | 0.520399i | \(-0.174217\pi\) |
0.766824 | + | 0.641857i | \(0.221836\pi\) | |||||||
\(572\) | −3.36848e8 | + | 1.03904e8i | −1.79989 | + | 0.555193i | ||||
\(573\) | −5.30200e7 | − | 3.61485e7i | −0.281823 | − | 0.192144i | ||||
\(574\) | −1.58013e7 | − | 2.38166e6i | −0.0835521 | − | 0.0125934i | ||||
\(575\) | 2.52808e7 | + | 1.10762e8i | 0.132980 | + | 0.582625i | ||||
\(576\) | −1.33538e8 | + | 1.23905e8i | −0.698773 | + | 0.648367i | ||||
\(577\) | 3.62073e7 | − | 2.71336e6i | 0.188481 | − | 0.0141247i | 0.0198450 | − | 0.999803i | \(-0.493683\pi\) |
0.168636 | + | 0.985678i | \(0.446064\pi\) | |||||||
\(578\) | −2.58629e8 | + | 1.01504e8i | −1.33935 | + | 0.525655i | ||||
\(579\) | 2.48026e7 | + | 1.64554e8i | 0.127780 | + | 0.847762i | ||||
\(580\) | 1.72095e8 | + | 8.28765e7i | 0.882031 | + | 0.424764i | ||||
\(581\) | 3.19655e7 | − | 6.63771e7i | 0.162987 | − | 0.338446i | ||||
\(582\) | 2.66535e7 | − | 4.01737e6i | 0.135203 | − | 0.0203785i | ||||
\(583\) | 3.33236e6 | + | 8.49072e6i | 0.0168169 | + | 0.0428488i | ||||
\(584\) | −1.03352e6 | − | 1.37914e7i | −0.00518896 | − | 0.0692418i | ||||
\(585\) | −4.44692e7 | − | 4.79264e7i | −0.222122 | − | 0.239390i | ||||
\(586\) | −2.01531e8 | + | 4.59982e7i | −1.00150 | + | 0.228585i | ||||
\(587\) | −2.99259e7 | + | 1.98545e8i | −0.147956 | + | 0.981625i | 0.784444 | + | 0.620199i | \(0.212948\pi\) |
−0.932401 | + | 0.361426i | \(0.882290\pi\) | |||||||
\(588\) | −4.43860e6 | + | 6.51023e6i | −0.0218330 | + | 0.0320232i | ||||
\(589\) | −4.91580e7 | − | 1.59366e8i | −0.240574 | − | 0.779922i | ||||
\(590\) | 1.77210e6 | − | 2.36470e7i | 0.00862842 | − | 0.115138i | ||||
\(591\) | 1.69883e8 | − | 1.35478e8i | 0.822979 | − | 0.656304i | ||||
\(592\) | 9.75462e6 | − | 3.16237e7i | 0.0470160 | − | 0.152422i | ||||
\(593\) | 5.75867e7 | + | 2.26011e7i | 0.276158 | + | 0.108384i | 0.499378 | − | 0.866384i | \(-0.333562\pi\) |
−0.223220 | + | 0.974768i | \(0.571657\pi\) | |||||||
\(594\) | −1.19424e8 | + | 5.23233e8i | −0.569815 | + | 2.49652i | ||||
\(595\) | 2.07264e7 | + | 3.58992e7i | 0.0983951 | + | 0.170425i | ||||
\(596\) | 3.31563e8 | + | 1.91428e8i | 1.56613 | + | 0.904204i | ||||
\(597\) | −1.41030e8 | − | 1.30857e8i | −0.662810 | − | 0.614998i | ||||
\(598\) | −2.40752e8 | − | 1.91994e8i | −1.12581 | − | 0.897807i | ||||
\(599\) | −2.25155e8 | + | 1.53508e8i | −1.04762 | + | 0.714252i | −0.959457 | − | 0.281854i | \(-0.909050\pi\) |
−0.0881582 | + | 0.996106i | \(0.528098\pi\) | |||||||
\(600\) | −4.80658e7 | + | 2.31473e7i | −0.222527 | + | 0.107163i | ||||
\(601\) | 1.01097e7i | 0.0465707i | 0.999729 | + | 0.0232854i | \(0.00741263\pi\) | ||||
−0.999729 | + | 0.0232854i | \(0.992587\pi\) | |||||||
\(602\) | −2.76984e8 | + | 1.89756e8i | −1.26959 | + | 0.869772i | ||||
\(603\) | −2.14997e8 | −0.980573 | ||||||||
\(604\) | −2.00287e8 | − | 4.15901e8i | −0.908955 | − | 1.88746i | ||||
\(605\) | −1.34651e8 | − | 1.97497e8i | −0.608057 | − | 0.891856i | ||||
\(606\) | 1.52743e8 | − | 1.91534e8i | 0.686346 | − | 0.860651i | ||||
\(607\) | 1.10895e6 | − | 1.19516e6i | 0.00495845 | − | 0.00534394i | −0.730568 | − | 0.682840i | \(-0.760745\pi\) |
0.735526 | + | 0.677496i | \(0.236935\pi\) | |||||||
\(608\) | 8.98397e7 | − | 1.55607e8i | 0.399722 | − | 0.692338i | ||||
\(609\) | −1.18132e8 | + | 6.82034e7i | −0.523016 | + | 0.301963i | ||||
\(610\) | −3.23902e8 | − | 7.39286e7i | −1.42700 | − | 0.325704i | ||||
\(611\) | 2.76679e7 | − | 7.04967e7i | 0.121298 | − | 0.309062i | ||||
\(612\) | −5.52464e7 | − | 1.70412e7i | −0.241018 | − | 0.0743442i | ||||
\(613\) | 9.78545e7 | + | 1.22706e8i | 0.424815 | + | 0.532701i | 0.947471 | − | 0.319843i | \(-0.103630\pi\) |
−0.522656 | + | 0.852544i | \(0.675059\pi\) | |||||||
\(614\) | 6.29461e8 | + | 4.71716e7i | 2.71934 | + | 0.203787i | ||||
\(615\) | 5.40087e6 | − | 1.66595e6i | 0.0232187 | − | 0.00716202i | ||||
\(616\) | −2.23617e8 | − | 1.52460e8i | −0.956673 | − | 0.652249i | ||||
\(617\) | −3.63828e7 | − | 5.48383e6i | −0.154896 | − | 0.0233469i | 0.0711363 | − | 0.997467i | \(-0.477337\pi\) |
−0.226033 | + | 0.974120i | \(0.572576\pi\) | |||||||
\(618\) | −8.44558e7 | − | 3.70025e8i | −0.357820 | − | 1.56771i | ||||
\(619\) | −4.92638e7 | + | 4.57101e7i | −0.207709 | + | 0.192726i | −0.777167 | − | 0.629295i | \(-0.783344\pi\) |
0.569457 | + | 0.822021i | \(0.307153\pi\) | |||||||
\(620\) | 3.01886e8 | − | 2.26233e7i | 1.26668 | − | 0.0949249i | ||||
\(621\) | −2.59735e8 | + | 1.01939e8i | −1.08457 | + | 0.425661i | ||||
\(622\) | −4.31477e7 | − | 2.86266e8i | −0.179302 | − | 1.18959i | ||||
\(623\) | −2.85733e8 | − | 1.37602e8i | −1.18167 | − | 0.569063i | ||||
\(624\) | −1.66912e7 | + | 3.46596e7i | −0.0686964 | + | 0.142650i | ||||
\(625\) | 4.95329e7 | − | 7.46589e6i | 0.202887 | − | 0.0305803i | ||||
\(626\) | −1.68142e8 | − | 4.28420e8i | −0.685416 | − | 1.74641i | ||||
\(627\) | −1.23242e7 | − | 1.64455e8i | −0.0499984 | − | 0.667183i | ||||
\(628\) | −4.79030e8 | − | 5.16271e8i | −1.93412 | − | 2.08449i | ||||
\(629\) | 3.64215e7 | − | 8.31296e6i | 0.146354 | − | 0.0334044i | ||||
\(630\) | 2.33959e7 | − | 1.55222e8i | 0.0935660 | − | 0.620770i | ||||
\(631\) | −5.44001e7 | + | 7.97902e7i | −0.216527 | + | 0.317586i | −0.919099 | − | 0.394026i | \(-0.871082\pi\) |
0.702573 | + | 0.711612i | \(0.252034\pi\) | |||||||
\(632\) | 5.90158e7 | + | 1.91325e8i | 0.233785 | + | 0.757914i | ||||
\(633\) | 2.10250e6 | − | 2.80559e7i | 0.00828944 | − | 0.110615i | ||||
\(634\) | 2.25991e8 | − | 1.80222e8i | 0.886796 | − | 0.707196i | ||||
\(635\) | −8.05771e7 | + | 2.61225e8i | −0.314696 | + | 1.02022i | ||||
\(636\) | −6.48232e6 | − | 2.54412e6i | −0.0251976 | − | 0.00988933i | ||||
\(637\) | 1.89612e6 | − | 8.30746e6i | 0.00733581 | − | 0.0321403i | ||||
\(638\) | 3.14651e8 | + | 5.44991e8i | 1.21162 | + | 2.09859i | ||||
\(639\) | 1.11829e8 | + | 6.45647e7i | 0.428601 | + | 0.247453i | ||||
\(640\) | 1.74595e8 | + | 1.62001e8i | 0.666028 | + | 0.617984i | ||||
\(641\) | 8.60373e7 | + | 6.86124e7i | 0.326672 | + | 0.260513i | 0.773068 | − | 0.634323i | \(-0.218721\pi\) |
−0.446396 | + | 0.894836i | \(0.647293\pi\) | |||||||
\(642\) | −9.29382e7 | + | 6.33642e7i | −0.351228 | + | 0.239463i | ||||
\(643\) | −9.15883e7 | + | 4.41066e7i | −0.344514 | + | 0.165909i | −0.598137 | − | 0.801394i | \(-0.704092\pi\) |
0.253623 | + | 0.967303i | \(0.418378\pi\) | |||||||
\(644\) | − | 4.40027e8i | − | 1.64749i | ||||||
\(645\) | 5.91455e7 | − | 1.02976e8i | 0.220416 | − | 0.383756i | ||||
\(646\) | 8.04334e7 | 0.298359 | ||||||||
\(647\) | 1.12156e7 | + | 2.32895e7i | 0.0414105 | + | 0.0859898i | 0.920648 | − | 0.390395i | \(-0.127661\pi\) |
−0.879237 | + | 0.476384i | \(0.841947\pi\) | |||||||
\(648\) | −6.97878e6 | − | 1.02360e7i | −0.0256481 | − | 0.0376188i | ||||
\(649\) | 2.89903e7 | − | 3.63527e7i | 0.106052 | − | 0.132985i | ||||
\(650\) | 1.22719e8 | − | 1.32260e8i | 0.446861 | − | 0.481601i | ||||
\(651\) | −1.08096e8 | + | 1.87227e8i | −0.391800 | + | 0.678618i | ||||
\(652\) | −3.71409e8 | + | 2.14433e8i | −1.34002 | + | 0.773659i | ||||
\(653\) | 2.26938e8 | + | 5.17971e7i | 0.815019 | + | 0.186023i | 0.609659 | − | 0.792664i | \(-0.291306\pi\) |
0.205360 | + | 0.978687i | \(0.434164\pi\) | |||||||
\(654\) | −1.78062e8 | + | 4.53695e8i | −0.636559 | + | 1.62193i | ||||
\(655\) | −1.86250e8 | − | 5.74505e7i | −0.662784 | − | 0.204442i | ||||
\(656\) | 2.98537e6 | + | 3.74353e6i | 0.0105751 | + | 0.0132608i | ||||
\(657\) | 1.56845e7 | + | 1.17539e6i | 0.0553062 | + | 0.00414462i | ||||
\(658\) | 1.73753e8 | − | 5.35957e7i | 0.609894 | − | 0.188127i | ||||
\(659\) | 2.00361e8 | + | 1.36604e8i | 0.700094 | + | 0.477316i | 0.860313 | − | 0.509765i | \(-0.170268\pi\) |
−0.160220 | + | 0.987081i | \(0.551220\pi\) | |||||||
\(660\) | 2.96014e8 | + | 4.46169e7i | 1.02963 | + | 0.155191i | ||||
\(661\) | 4.57861e7 | + | 2.00602e8i | 0.158537 | + | 0.694594i | 0.990240 | + | 0.139374i | \(0.0445090\pi\) |
−0.831703 | + | 0.555221i | \(0.812634\pi\) | |||||||
\(662\) | 3.62195e8 | − | 3.36068e8i | 1.24844 | − | 1.15839i | ||||
\(663\) | −4.33046e7 | + | 3.24523e6i | −0.148591 | + | 0.0111354i | ||||
\(664\) | 7.72408e7 | − | 3.03148e7i | 0.263841 | − | 0.103550i | ||||
\(665\) | 1.93717e7 | + | 1.28523e8i | 0.0658723 | + | 0.437034i | ||||
\(666\) | −1.27459e8 | − | 6.13810e7i | −0.431467 | − | 0.207784i | ||||
\(667\) | −1.41955e8 | + | 2.94772e8i | −0.478379 | + | 0.993365i | ||||
\(668\) | 6.28768e8 | − | 9.47716e7i | 2.10941 | − | 0.317943i | ||||
\(669\) | 8.12669e7 | + | 2.07065e8i | 0.271416 | + | 0.691557i | ||||
\(670\) | 4.05743e7 | + | 5.41426e8i | 0.134904 | + | 1.80018i | ||||
\(671\) | −4.43091e8 | − | 4.77539e8i | −1.46665 | − | 1.58067i | ||||
\(672\) | −2.27078e8 | + | 5.18291e7i | −0.748286 | + | 0.170791i | ||||
\(673\) | 4.34749e7 | − | 2.88437e8i | 0.142624 | − | 0.946251i | −0.796984 | − | 0.604000i | \(-0.793573\pi\) |
0.939609 | − | 0.342251i | \(-0.111189\pi\) | |||||||
\(674\) | −1.20152e8 | + | 1.76230e8i | −0.392419 | + | 0.575572i | ||||
\(675\) | −4.81878e7 | − | 1.56221e8i | −0.156684 | − | 0.507959i | ||||
\(676\) | 1.21876e7 | − | 1.62633e8i | 0.0394530 | − | 0.526463i | ||||
\(677\) | −1.28191e8 | + | 1.02229e8i | −0.413136 | + | 0.329465i | −0.807902 | − | 0.589317i | \(-0.799397\pi\) |
0.394766 | + | 0.918782i | \(0.370826\pi\) | |||||||
\(678\) | −8.33030e7 | + | 2.70062e8i | −0.267283 | + | 0.866510i | ||||
\(679\) | −3.87749e7 | − | 1.52180e7i | −0.123863 | − | 0.0486126i | ||||
\(680\) | −1.03890e7 | + | 4.55171e7i | −0.0330404 | + | 0.144760i | ||||
\(681\) | 615999. | + | 1.06694e6i | 0.00195047 | + | 0.00337831i | ||||
\(682\) | 8.63756e8 | + | 4.98690e8i | 2.72294 | + | 1.57209i | ||||
\(683\) | −3.44993e7 | − | 3.20107e7i | −0.108280 | − | 0.100469i | 0.624175 | − | 0.781284i | \(-0.285435\pi\) |
−0.732455 | + | 0.680815i | \(0.761626\pi\) | |||||||
\(684\) | −1.41728e8 | − | 1.13025e8i | −0.442883 | − | 0.353187i | ||||
\(685\) | 8.54488e7 | − | 5.82580e7i | 0.265849 | − | 0.181253i | ||||
\(686\) | 4.66051e8 | − | 2.24438e8i | 1.44365 | − | 0.695223i | ||||
\(687\) | 6.46624e7i | 0.199426i | ||||||||
\(688\) | 9.95130e7 | + | 1.47710e7i | 0.305573 | + | 0.0453570i | ||||
\(689\) | 7.53086e6 | 0.0230243 | ||||||||
\(690\) | 1.13462e8 | + | 2.35606e8i | 0.345384 | + | 0.717198i | ||||
\(691\) | −7.61447e7 | − | 1.11684e8i | −0.230784 | − | 0.338498i | 0.693326 | − | 0.720624i | \(-0.256144\pi\) |
−0.924110 | + | 0.382126i | \(0.875192\pi\) | |||||||
\(692\) | 8.11143e7 | − | 1.01714e8i | 0.244782 | − | 0.306947i | ||||
\(693\) | 2.09354e8 | − | 2.25630e8i | 0.629046 | − | 0.677950i | ||||
\(694\) | 5.11879e8 | − | 8.86601e8i | 1.53140 | − | 2.65247i | ||||
\(695\) | 2.93812e8 | − | 1.69632e8i | 0.875215 | − | 0.505305i | ||||
\(696\) | −1.49781e8 | − | 3.41865e7i | −0.444251 | − | 0.101397i | ||||
\(697\) | −1.97471e6 | + | 5.03148e6i | −0.00583183 | + | 0.0148593i | ||||
\(698\) | −7.55671e8 | − | 2.33094e8i | −2.22211 | − | 0.685432i | ||||
\(699\) | −1.60459e8 | − | 2.01209e8i | −0.469821 | − | 0.589137i | ||||
\(700\) | 2.57098e8 | + | 1.92668e7i | 0.749557 | + | 0.0561716i | ||||
\(701\) | 6.50191e7 | − | 2.00557e7i | 0.188750 | − | 0.0582217i | −0.198939 | − | 0.980012i | \(-0.563750\pi\) |
0.387689 | + | 0.921790i | \(0.373273\pi\) | |||||||
\(702\) | 3.66116e8 | + | 2.49614e8i | 1.05830 | + | 0.721534i | ||||
\(703\) | 1.15827e8 | + | 1.74582e7i | 0.333384 | + | 0.0502496i | ||||
\(704\) | 2.00722e8 | + | 8.79421e8i | 0.575278 | + | 2.52046i | ||||
\(705\) | −4.71446e7 | + | 4.37438e7i | −0.134544 | + | 0.124839i | ||||
\(706\) | −6.49006e8 | + | 4.86363e7i | −1.84431 | + | 0.138212i | ||||
\(707\) | −3.52411e8 | + | 1.38311e8i | −0.997221 | + | 0.391380i | ||||
\(708\) | 5.29077e6 | + | 3.51020e7i | 0.0149080 | + | 0.0989081i | ||||
\(709\) | −3.28693e7 | − | 1.58290e7i | −0.0922257 | − | 0.0444136i | 0.387202 | − | 0.921995i | \(-0.373442\pi\) |
−0.479428 | + | 0.877581i | \(0.659156\pi\) | |||||||
\(710\) | 1.41489e8 | − | 2.93805e8i | 0.395318 | − | 0.820887i | ||||
\(711\) | −2.25160e8 | + | 3.39374e7i | −0.626445 | + | 0.0944214i | ||||
\(712\) | −1.30496e8 | − | 3.32498e8i | −0.361540 | − | 0.921189i | ||||
\(713\) | 3.87502e7 | + | 5.17085e8i | 0.106907 | + | 1.42657i | ||||
\(714\) | −7.09186e7 | − | 7.64321e7i | −0.194834 | − | 0.209982i | ||||
\(715\) | −3.15622e8 | + | 7.20387e7i | −0.863475 | + | 0.197082i | ||||
\(716\) | −3.92955e7 | + | 2.60709e8i | −0.107054 | + | 0.710259i | ||||
\(717\) | 1.59976e8 | − | 2.34642e8i | 0.434008 | − | 0.636573i | ||||
\(718\) | 7.65415e7 | + | 2.48142e8i | 0.206787 | + | 0.670388i | ||||
\(719\) | 2.88608e6 | − | 3.85121e7i | 0.00776465 | − | 0.103612i | −0.991975 | − | 0.126435i | \(-0.959646\pi\) |
0.999740 | + | 0.0228231i | \(0.00726546\pi\) | |||||||
\(720\) | −3.67740e7 | + | 2.93263e7i | −0.0985244 | + | 0.0785706i | ||||
\(721\) | −1.72881e8 | + | 5.60466e8i | −0.461255 | + | 1.49535i | ||||
\(722\) | −3.15865e8 | − | 1.23968e8i | −0.839247 | − | 0.329380i | ||||
\(723\) | −3.43700e7 | + | 1.50585e8i | −0.0909420 | + | 0.398443i | ||||
\(724\) | 5.90447e7 | + | 1.02268e8i | 0.155584 | + | 0.269479i | ||||
\(725\) | −1.66013e8 | − | 9.58478e7i | −0.435641 | − | 0.251518i | ||||
\(726\) | 4.40734e8 | + | 4.08941e8i | 1.15177 | + | 1.06869i | ||||
\(727\) | −1.59828e8 | − | 1.27459e8i | −0.415958 | − | 0.331716i | 0.393046 | − | 0.919519i | \(-0.371421\pi\) |
−0.809004 | + | 0.587803i | \(0.799993\pi\) | |||||||
\(728\) | −1.84628e8 | + | 1.25877e8i | −0.478522 | + | 0.326251i | ||||
\(729\) | 2.40190e8 | − | 1.15670e8i | 0.619973 | − | 0.298563i | ||||
\(730\) | − | 3.97200e7i | − | 0.102103i | ||||||
\(731\) | 4.17273e7 | + | 1.05622e8i | 0.106824 | + | 0.270398i | ||||
\(732\) | 4.97347e8 | 1.26802 | ||||||||
\(733\) | −2.57862e8 | − | 5.35456e8i | −0.654750 | − | 1.35960i | −0.918658 | − | 0.395054i | \(-0.870726\pi\) |
0.263908 | − | 0.964548i | \(-0.414988\pi\) | |||||||
\(734\) | −6.65207e8 | − | 9.75680e8i | −1.68217 | − | 2.46728i | ||||
\(735\) | −4.51174e6 | + | 5.65755e6i | −0.0113627 | + | 0.0142484i | ||||
\(736\) | −3.79982e8 | + | 4.09523e8i | −0.953080 | + | 1.02718i | ||||
\(737\) | −5.32301e8 | + | 9.21973e8i | −1.32970 | + | 2.30312i | ||||
\(738\) | 1.77260e7 | − | 1.02341e7i | 0.0441004 | − | 0.0254614i | ||||
\(739\) | −3.34686e8 | − | 7.63898e7i | −0.829285 | − | 0.189279i | −0.213250 | − | 0.976998i | \(-0.568405\pi\) |
−0.616035 | + | 0.787719i | \(0.711262\pi\) | |||||||
\(740\) | −7.76809e7 | + | 1.97928e8i | −0.191699 | + | 0.488440i | ||||
\(741\) | −1.30112e8 | − | 4.01343e7i | −0.319789 | − | 0.0986418i | ||||
\(742\) | 1.12737e7 | + | 1.41367e7i | 0.0275964 | + | 0.0346048i | ||||
\(743\) | 1.45418e8 | + | 1.08975e7i | 0.354528 | + | 0.0265682i | 0.250804 | − | 0.968038i | \(-0.419305\pi\) |
0.103724 | + | 0.994606i | \(0.466924\pi\) | |||||||
\(744\) | −2.32674e8 | + | 7.17706e7i | −0.564976 | + | 0.174272i | ||||
\(745\) | 2.90513e8 | + | 1.98068e8i | 0.702581 | + | 0.479011i | ||||
\(746\) | 3.33402e7 | + | 5.02522e6i | 0.0803066 | + | 0.0121043i | ||||
\(747\) | 2.09985e7 | + | 9.20006e7i | 0.0503764 | + | 0.220714i | ||||
\(748\) | −2.09860e8 | + | 1.94722e8i | −0.501447 | + | 0.465275i | ||||
\(749\) | 1.73340e8 | − | 1.29901e7i | 0.412529 | − | 0.0309148i | ||||
\(750\) | −4.15774e8 | + | 1.63179e8i | −0.985538 | + | 0.386795i | ||||
\(751\) | 1.13883e8 | + | 7.55563e8i | 0.268868 | + | 1.78382i | 0.561380 | + | 0.827558i | \(0.310271\pi\) |
−0.292512 | + | 0.956262i | \(0.594491\pi\) | |||||||
\(752\) | −4.90881e7 | − | 2.36396e7i | −0.115431 | − | 0.0555886i | ||||
\(753\) | 1.57461e8 | − | 3.26971e8i | 0.368797 | − | 0.765816i | ||||
\(754\) | 5.13773e8 | − | 7.74389e7i | 1.19855 | − | 0.180653i | ||||
\(755\) | −1.54883e8 | − | 3.94634e8i | −0.359883 | − | 0.916968i | ||||
\(756\) | 4.73185e7 | + | 6.31421e8i | 0.109513 | + | 1.46135i | ||||
\(757\) | −1.49774e8 | − | 1.61418e8i | −0.345261 | − | 0.372103i | 0.536418 | − | 0.843953i | \(-0.319777\pi\) |
−0.881679 | + | 0.471849i | \(0.843587\pi\) | |||||||
\(758\) | 1.05012e9 | − | 2.39682e8i | 2.41118 | − | 0.550336i | ||||
\(759\) | −7.64220e7 | + | 5.07027e8i | −0.174780 | + | 1.15959i | ||||
\(760\) | −8.24633e7 | + | 1.20952e8i | −0.187854 | + | 0.275531i | ||||
\(761\) | −1.97363e8 | − | 6.39835e8i | −0.447828 | − | 1.45182i | −0.845341 | − | 0.534227i | \(-0.820603\pi\) |
0.397512 | − | 0.917597i | \(-0.369874\pi\) | |||||||
\(762\) | 5.13845e7 | − | 6.85679e8i | 0.116136 | − | 1.54973i | ||||
\(763\) | 5.88862e8 | − | 4.69602e8i | 1.32568 | − | 1.05720i | ||||
\(764\) | −1.02951e8 | + | 3.33760e8i | −0.230862 | + | 0.748435i | ||||
\(765\) | −4.94259e7 | − | 1.93983e7i | −0.110400 | − | 0.0433290i | ||||
\(766\) | −1.32787e8 | + | 5.81780e8i | −0.295441 | + | 1.29441i | ||||
\(767\) | −1.91948e7 | − | 3.32464e7i | −0.0425401 | − | 0.0736816i | ||||
\(768\) | −1.13126e8 | − | 6.53134e7i | −0.249735 | − | 0.144185i | ||||
\(769\) | 6.44575e8 | + | 5.98078e8i | 1.41741 | + | 1.31516i | 0.882550 | + | 0.470219i | \(0.155825\pi\) |
0.534857 | + | 0.844943i | \(0.320365\pi\) | |||||||
\(770\) | −6.07714e8 | − | 4.84636e8i | −1.33115 | − | 1.06156i | ||||
\(771\) | 2.40558e8 | − | 1.64010e8i | 0.524877 | − | 0.357855i | ||||
\(772\) | 8.16081e8 | − | 3.93004e8i | 1.77370 | − | 0.854171i | ||||
\(773\) | − | 1.80579e8i | − | 0.390956i | −0.980708 | − | 0.195478i | \(-0.937374\pi\) | ||
0.980708 | − | 0.195478i | \(-0.0626258\pi\) | |||||||
\(774\) | 1.25839e8 | − | 4.11232e8i | 0.271389 | − | 0.886879i | ||||
\(775\) | −3.03818e8 | −0.652693 | ||||||||
\(776\) | −2.03554e7 | − | 4.22685e7i | −0.0435607 | − | 0.0904548i | ||||
\(777\) | −8.55360e7 | − | 1.25458e8i | −0.182342 | − | 0.267446i | ||||
\(778\) | −3.49205e8 | + | 4.37890e8i | −0.741553 | + | 0.929878i | ||||
\(779\) | −1.15273e7 | + | 1.24235e7i | −0.0243846 | + | 0.0262803i | ||||
\(780\) | 1.23581e8 | − | 2.14048e8i | 0.260416 | − | 0.451053i | ||||
\(781\) | 5.53747e8 | − | 3.19706e8i | 1.16241 | − | 0.671116i | ||||
\(782\) | −2.43812e8 | − | 5.56484e7i | −0.509840 | − | 0.116368i | ||||
\(783\) | 1.72001e8 | − | 4.38251e8i | 0.358299 | − | 0.912931i | ||||
\(784\) | −5.85798e6 | − | 1.80695e6i | −0.0121563 | − | 0.00374971i | ||||
\(785\) | −4.03271e8 | − | 5.05686e8i | −0.833658 | − | 1.04537i | ||||
\(786\) | 4.88881e8 | + | 3.66365e7i | 1.00678 | + | 0.0754478i | ||||
\(787\) | 3.16663e8 | − | 9.76775e7i | 0.649640 | − | 0.200387i | 0.0476164 | − | 0.998866i | \(-0.484837\pi\) |
0.602024 | + | 0.798478i | \(0.294361\pi\) | |||||||
\(788\) | −9.77190e8 | − | 6.66237e8i | −1.99710 | − | 1.36160i | ||||
\(789\) | 1.67719e8 | + | 2.52796e7i | 0.341470 | + | 0.0514683i | ||||
\(790\) | 1.27957e8 | + | 5.60616e8i | 0.259527 | + | 1.13706i | ||||
\(791\) | 3.20155e8 | − | 2.97061e8i | 0.646891 | − | 0.600228i | ||||
\(792\) | 3.45696e8 | − | 2.59063e7i | 0.695854 | − | 0.0521471i | ||||
\(793\) | −5.00674e8 | + | 1.96500e8i | −1.00401 | + | 0.394043i | ||||
\(794\) | 1.82036e7 | + | 1.20773e8i | 0.0363660 | + | 0.241273i | ||||
\(795\) | −5.76201e6 | − | 2.77484e6i | −0.0114676 | − | 0.00552251i | ||||
\(796\) | −4.54346e8 | + | 9.43459e8i | −0.900839 | + | 1.87061i | ||||
\(797\) | 8.10181e8 | − | 1.22115e8i | 1.60032 | − | 0.241210i | 0.712593 | − | 0.701577i | \(-0.247521\pi\) |
0.887728 | + | 0.460368i | \(0.152282\pi\) | |||||||
\(798\) | −1.19438e8 | − | 3.04324e8i | −0.235036 | − | 0.598863i | ||||
\(799\) | −4.59619e6 | − | 6.13319e7i | −0.00901068 | − | 0.120239i | ||||
\(800\) | −2.22638e8 | − | 2.39946e8i | −0.434839 | − | 0.468645i | ||||
\(801\) | 3.96035e8 | − | 9.03923e7i | 0.770612 | − | 0.175887i | ||||
\(802\) | 6.01627e7 | − | 3.99153e8i | 0.116628 | − | 0.773778i | ||||
\(803\) | 4.38729e7 | − | 6.43497e7i | 0.0847324 | − | 0.124280i | ||||
\(804\) | −2.39571e8 | − | 7.76671e8i | −0.460964 | − | 1.49441i | ||||
\(805\) | 3.01995e7 | − | 4.02984e8i | 0.0578911 | − | 0.772503i | ||||
\(806\) | 6.43820e8 | − | 5.13429e8i | 1.22959 | − | 0.980563i | ||||
\(807\) | 4.68718e7 | − | 1.51955e8i | 0.0891848 | − | 0.289130i | ||||
\(808\) | −3.96914e8 | − | 1.55777e8i | −0.752424 | − | 0.295305i | ||||
\(809\) | 3.53943e7 | − | 1.55073e8i | 0.0668480 | − | 0.292880i | −0.930443 | − | 0.366436i | \(-0.880578\pi\) |
0.997291 | + | 0.0735563i | \(0.0234349\pi\) | |||||||
\(810\) | −1.77902e7 | − | 3.08135e7i | −0.0334753 | − | 0.0579810i | ||||
\(811\) | 2.83372e8 | + | 1.63605e8i | 0.531244 | + | 0.306714i | 0.741523 | − | 0.670928i | \(-0.234104\pi\) |
−0.210279 | + | 0.977641i | \(0.567437\pi\) | |||||||
\(812\) | 5.44260e8 | + | 5.04999e8i | 1.01657 | + | 0.943241i | ||||
\(813\) | −4.06703e8 | − | 3.24335e8i | −0.756844 | − | 0.603563i | ||||
\(814\) | −5.78791e8 | + | 3.94613e8i | −1.07312 | + | 0.731641i | ||||
\(815\) | −3.54859e8 | + | 1.70891e8i | −0.655516 | + | 0.315680i | ||||
\(816\) | 3.12420e7i | 0.0575001i | ||||||||
\(817\) | 798622. | + | 3.56083e8i | 0.00146445 | + | 0.652958i | ||||
\(818\) | 1.47367e9 | 2.69240 | ||||||||
\(819\) | −1.10262e8 | − | 2.28962e8i | −0.200713 | − | 0.416784i | ||||
\(820\) | −1.73297e7 | − | 2.54180e7i | −0.0314303 | − | 0.0460998i | ||||
\(821\) | −6.09328e8 | + | 7.64073e8i | −1.10109 | + | 1.38072i | −0.183576 | + | 0.983005i | \(0.558767\pi\) |
−0.917510 | + | 0.397713i | \(0.869804\pi\) | |||||||
\(822\) | −1.76932e8 | + | 1.90687e8i | −0.318560 | + | 0.343326i | ||||
\(823\) | −3.46951e8 | + | 6.00937e8i | −0.622399 | + | 1.07803i | 0.366639 | + | 0.930363i | \(0.380508\pi\) |
−0.989038 | + | 0.147663i | \(0.952825\pi\) | |||||||
\(824\) | −5.72089e8 | + | 3.30296e8i | −1.02254 | + | 0.590366i | ||||
\(825\) | −2.92898e8 | − | 6.68521e7i | −0.521621 | − | 0.119057i | ||||
\(826\) | 3.36747e7 | − | 8.58017e7i | 0.0597535 | − | 0.152250i | ||||
\(827\) | −5.57561e8 | − | 1.71985e8i | −0.985770 | − | 0.304070i | −0.240366 | − | 0.970682i | \(-0.577267\pi\) |
−0.745404 | + | 0.666612i | \(0.767744\pi\) | |||||||
\(828\) | 3.51413e8 | + | 4.40659e8i | 0.619052 | + | 0.776267i | ||||
\(829\) | 2.41297e8 | + | 1.80827e7i | 0.423534 | + | 0.0317395i | 0.284793 | − | 0.958589i | \(-0.408075\pi\) |
0.138741 | + | 0.990329i | \(0.455694\pi\) | |||||||
\(830\) | 2.27722e8 | − | 7.02430e7i | 0.398264 | − | 0.122848i | ||||
\(831\) | −8.21538e7 | − | 5.60115e7i | −0.143161 | − | 0.0976055i | ||||
\(832\) | 7.36440e8 | + | 1.11000e8i | 1.27870 | + | 0.192732i | ||||
\(833\) | −1.53989e6 | − | 6.74672e6i | −0.00266413 | − | 0.0116723i | ||||
\(834\) | −6.25547e8 | + | 5.80422e8i | −1.07835 | + | 1.00057i | ||||
\(835\) | 5.82340e8 | − | 4.36404e7i | 1.00027 | − | 0.0749599i | ||||
\(836\) | −8.35584e8 | + | 3.27943e8i | −1.43012 | + | 0.561279i | ||||
\(837\) | −1.11210e8 | − | 7.37830e8i | −0.189656 | − | 1.25829i | ||||
\(838\) | −1.50348e9 | − | 7.24040e8i | −2.55486 | − | 1.23036i | ||||
\(839\) | 5.16565e6 | − | 1.07266e7i | 0.00874660 | − | 0.0181625i | −0.896550 | − | 0.442943i | \(-0.853934\pi\) |
0.905296 | + | 0.424780i | \(0.139649\pi\) | |||||||
\(840\) | 1.87643e8 | − | 2.82826e7i | 0.316588 | − | 0.0477180i | ||||
\(841\) | 1.56313e7 | + | 3.98278e7i | 0.0262789 | + | 0.0669574i | ||||
\(842\) | 3.28412e6 | + | 4.38236e7i | 0.00550153 | + | 0.0734128i | ||||
\(843\) | 3.83953e8 | + | 4.13803e8i | 0.640908 | + | 0.690734i | ||||
\(844\) | −1.49296e8 | + | 3.40759e7i | −0.248326 | + | 0.0566787i | ||||
\(845\) | 2.23233e7 | − | 1.48105e8i | 0.0369988 | − | 0.245471i | ||||
\(846\) | −1.31200e8 | + | 1.92435e8i | −0.216682 | + | 0.317814i | ||||
\(847\) | −2.73861e8 | − | 8.87836e8i | −0.450692 | − | 1.46111i | ||||
\(848\) | 404882. | − | 5.40278e6i | 0.000663959 | − | 0.00885991i | ||||
\(849\) | 1.58309e8 | − | 1.26247e8i | 0.258692 | − | 0.206300i | ||||
\(850\) | 4.31896e7 | − | 1.40017e8i | 0.0703270 | − | 0.227995i | ||||
\(851\) | −3.39020e8 | − | 1.33055e8i | −0.550093 | − | 0.215896i | ||||
\(852\) | −1.08627e8 | + | 4.75926e8i | −0.175638 | + | 0.769521i | ||||
\(853\) | −4.68798e8 | − | 8.11983e8i | −0.755334 | − | 1.30828i | −0.945208 | − | 0.326468i | \(-0.894141\pi\) |
0.189874 | − | 0.981808i | \(-0.439192\pi\) | |||||||
\(854\) | −1.11837e9 | − | 6.45692e8i | −1.79561 | − | 1.03670i | ||||
\(855\) | −1.22040e8 | − | 1.13237e8i | −0.195256 | − | 0.181171i | ||||
\(856\) | 1.53065e8 | + | 1.22065e8i | 0.244037 | + | 0.194613i | ||||
\(857\) | −3.93545e8 | + | 2.68315e8i | −0.625248 | + | 0.426287i | −0.834064 | − | 0.551668i | \(-0.813992\pi\) |
0.208816 | + | 0.977955i | \(0.433039\pi\) | |||||||
\(858\) | 7.33654e8 | − | 3.53309e8i | 1.16153 | − | 0.559362i | ||||
\(859\) | 1.08575e9i | 1.71297i | 0.516171 | + | 0.856486i | \(0.327357\pi\) | ||||
−0.516171 | + | 0.856486i | \(0.672643\pi\) | |||||||
\(860\) | −6.30482e8 | − | 1.42416e8i | −0.991236 | − | 0.223905i | ||||
\(861\) | 2.19692e7 | 0.0344194 | ||||||||
\(862\) | 2.94889e8 | + | 6.12343e8i | 0.460401 | + | 0.956033i | ||||
\(863\) | 3.84181e8 | + | 5.63491e8i | 0.597729 | + | 0.876707i | 0.999233 | − | 0.0391501i | \(-0.0124651\pi\) |
−0.401505 | + | 0.915857i | \(0.631513\pi\) | |||||||
\(864\) | 5.01220e8 | − | 6.28510e8i | 0.777119 | − | 0.974476i | ||||
\(865\) | 8.12665e7 | − | 8.75844e7i | 0.125563 | − | 0.135325i | ||||
\(866\) | −5.00707e8 | + | 8.67250e8i | −0.770957 | + | 1.33534i | ||||
\(867\) | 3.30795e8 | − | 1.90985e8i | 0.507577 | − | 0.293050i | ||||
\(868\) | 1.14722e9 | + | 2.61845e8i | 1.75423 | + | 0.400392i | ||||
\(869\) | −4.11930e8 | + | 1.04958e9i | −0.627717 | + | 1.59940i | ||||
\(870\) | −4.21631e8 | − | 1.30056e8i | −0.640287 | − | 0.197503i | ||||
\(871\) | 5.48034e8 | + | 6.87213e8i | 0.829379 | + | 1.04001i | ||||
\(872\) | 8.45924e8 | + | 6.33933e7i | 1.27580 | + | 0.0956079i | ||||
\(873\) | 5.09839e7 | − | 1.57265e7i | 0.0766285 | − | 0.0236368i | ||||
\(874\) | −6.47875e8 | − | 4.41714e8i | −0.970414 | − | 0.661617i | ||||
\(875\) | 6.82520e8 | + | 1.02873e8i | 1.01881 | + | 0.153560i | ||||
\(876\) | 1.32312e7 | + | 5.79695e7i | 0.0196827 | + | 0.0862357i | ||||
\(877\) | −2.35486e8 | + | 2.18499e8i | −0.349113 | + | 0.323930i | −0.835164 | − | 0.550001i | \(-0.814627\pi\) |
0.486051 | + | 0.873930i | \(0.338437\pi\) | |||||||
\(878\) | −4.83659e8 | + | 3.62453e7i | −0.714589 | + | 0.0535510i | ||||
\(879\) | 2.64547e8 | − | 1.03827e8i | 0.389526 | − | 0.152878i | ||||
\(880\) | 3.47131e7 | + | 2.30306e8i | 0.0509384 | + | 0.337954i | ||||
\(881\) | 9.11355e8 | + | 4.38885e8i | 1.33278 | + | 0.641835i | 0.958397 | − | 0.285438i | \(-0.0921389\pi\) |
0.374387 | + | 0.927273i | \(0.377853\pi\) | |||||||
\(882\) | −1.13702e7 | + | 2.36105e7i | −0.0165716 | + | 0.0344112i | ||||
\(883\) | 4.06713e8 | − | 6.13021e7i | 0.590753 | − | 0.0890416i | 0.153139 | − | 0.988205i | \(-0.451062\pi\) |
0.437614 | + | 0.899163i | \(0.355824\pi\) | |||||||
\(884\) | 8.63544e7 | + | 2.20027e8i | 0.125005 | + | 0.318508i | ||||
\(885\) | 2.43629e6 | + | 3.25101e7i | 0.00351479 | + | 0.0469016i | ||||
\(886\) | −9.80003e8 | − | 1.05619e9i | −1.40905 | − | 1.51859i | ||||
\(887\) | 2.08888e8 | − | 4.76774e7i | 0.299325 | − | 0.0683190i | −0.0702208 | − | 0.997531i | \(-0.522370\pi\) |
0.369546 | + | 0.929212i | \(0.379513\pi\) | |||||||
\(888\) | 2.54888e7 | − | 1.69107e8i | 0.0364008 | − | 0.241504i | ||||
\(889\) | −5.98576e8 | + | 8.77949e8i | −0.851950 | + | 1.24958i | ||||
\(890\) | −3.02375e8 | − | 9.80274e8i | −0.428919 | − | 1.39052i | ||||
\(891\) | 5.21360e6 | − | 6.95706e7i | 0.00737063 | − | 0.0983542i | ||||
\(892\) | 9.46595e8 | − | 7.54884e8i | 1.33374 | − | 1.06362i | ||||
\(893\) | 5.68418e7 | − | 1.84277e8i | 0.0798203 | − | 0.258771i | ||||
\(894\) | −8.23260e8 | − | 3.23106e8i | −1.15219 | − | 0.452201i | ||||
\(895\) | −5.38802e7 | + | 2.36064e8i | −0.0751554 | + | 0.329277i | ||||
\(896\) | 4.62894e8 | + | 8.01756e8i | 0.643513 | + | 1.11460i | ||||
\(897\) | 3.66632e8 | + | 2.11675e8i | 0.507987 | + | 0.293287i | ||||
\(898\) | −1.73370e8 | − | 1.60864e8i | −0.239412 | − | 0.222142i | ||||
\(899\) | −6.84043e8 | − | 5.45506e8i | −0.941466 | − | 0.750794i | ||||
\(900\) | −2.72854e8 | + | 1.86029e8i | −0.374285 | + | 0.255183i | ||||
\(901\) | 5.51035e6 | − | 2.65364e6i | 0.00753364 | − | 0.00362801i | ||||
\(902\) | − | 1.01353e8i | − | 0.138107i | ||||||
\(903\) | 3.37665e8 | − | 3.14719e8i | 0.458588 | − | 0.427425i | ||||
\(904\) | 4.91896e8 | 0.665837 | ||||||||
\(905\) | 4.70553e7 | + | 9.77113e7i | 0.0634838 | + | 0.131825i | ||||
\(906\) | 6.00684e8 | + | 8.81041e8i | 0.807721 | + | 1.18471i | ||||
\(907\) | 4.57099e8 | − | 5.73185e8i | 0.612617 | − | 0.768197i | −0.374668 | − | 0.927159i | \(-0.622243\pi\) |
0.987285 | + | 0.158962i | \(0.0508147\pi\) | |||||||
\(908\) | 4.56105e6 | − | 4.91565e6i | 0.00609267 | − | 0.00656634i | ||||
\(909\) | 2.42459e8 | − | 4.19951e8i | 0.322810 | − | 0.559123i | ||||
\(910\) | −5.55786e8 | + | 3.20883e8i | −0.737536 | + | 0.425816i | ||||
\(911\) | 1.32000e8 | + | 3.01281e7i | 0.174589 | + | 0.0398489i | 0.308922 | − | 0.951087i | \(-0.400032\pi\) |
−0.134332 | + | 0.990936i | \(0.542889\pi\) | |||||||
\(912\) | −3.57883e7 | + | 9.11871e7i | −0.0471799 | + | 0.120212i | ||||
\(913\) | 4.46516e8 | + | 1.37732e8i | 0.586712 | + | 0.180977i | ||||
\(914\) | 7.21990e8 | + | 9.05347e8i | 0.945568 | + | 1.18570i | ||||
\(915\) | 4.55479e8 | + | 3.41334e7i | 0.594572 | + | 0.0445570i | ||||
\(916\) | 3.36319e8 | − | 1.03741e8i | 0.437588 | − | 0.134978i | ||||
\(917\) | −6.25967e8 | − | 4.26777e8i | −0.811790 | − | 0.553469i | ||||
\(918\) | 3.55844e8 | + | 5.36348e7i | 0.459972 | + | 0.0693296i | ||||
\(919\) | 2.38776e8 | + | 1.04615e9i | 0.307642 | + | 1.34787i | 0.858306 | + | 0.513139i | \(0.171517\pi\) |
−0.550664 | + | 0.834727i | \(0.685625\pi\) | |||||||
\(920\) | 3.33646e8 | − | 3.09578e8i | 0.428472 | − | 0.397564i | ||||
\(921\) | −8.65389e8 | + | 6.48519e7i | −1.10773 | + | 0.0830126i | ||||
\(922\) | −6.89929e8 | + | 2.70777e8i | −0.880262 | + | 0.345477i | ||||
\(923\) | −7.86830e7 | − | 5.22028e8i | −0.100064 | − | 0.663878i | ||||
\(924\) | 1.04837e9 | + | 5.04867e8i | 1.32892 | + | 0.639973i | ||||
\(925\) | 9.25855e7 | − | 1.92256e8i | 0.116982 | − | 0.242915i | ||||
\(926\) | 1.18878e9 | − | 1.79180e8i | 1.49717 | − | 0.225662i | ||||
\(927\) | −2.74469e8 | − | 6.99337e8i | −0.344552 | − | 0.877904i | ||||
\(928\) | −7.04419e7 | − | 9.39982e8i | −0.0881429 | − | 1.17619i | ||||
\(929\) | 7.77636e8 | + | 8.38092e8i | 0.969905 | + | 1.04531i | 0.998954 | + | 0.0457310i | \(0.0145617\pi\) |
−0.0290488 | + | 0.999578i | \(0.509248\pi\) | |||||||
\(930\) | −6.81778e8 | + | 1.55611e8i | −0.847606 | + | 0.193461i | ||||
\(931\) | 3.23395e6 | − | 2.14559e7i | 0.00400760 | − | 0.0265887i | ||||
\(932\) | −7.89088e8 | + | 1.15738e9i | −0.974715 | + | 1.42964i | ||||
\(933\) | 1.17314e8 | + | 3.80324e8i | 0.144446 | + | 0.468284i | ||||
\(934\) | 1.07230e8 | − | 1.43089e9i | 0.131606 | − | 1.75617i | ||||
\(935\) | −2.05557e8 | + | 1.63926e8i | −0.251477 | + | 0.200546i | ||||
\(936\) | 8.43649e7 | − | 2.73504e8i | 0.102881 | − | 0.333531i | ||||
\(937\) | 7.76640e8 | + | 3.04809e8i | 0.944063 | + | 0.370517i | 0.786918 | − | 0.617058i | \(-0.211676\pi\) |
0.157145 | + | 0.987575i | \(0.449771\pi\) | |||||||
\(938\) | −4.69613e8 | + | 2.05751e9i | −0.569025 | + | 2.49306i | ||||
\(939\) | 3.16367e8 | + | 5.47964e8i | 0.382115 | + | 0.661843i | ||||
\(940\) | 3.03154e8 | + | 1.75026e8i | 0.364989 | + | 0.210727i | ||||
\(941\) | 7.97032e8 | + | 7.39538e8i | 0.956549 | + | 0.887548i | 0.993735 | − | 0.111761i | \(-0.0356490\pi\) |
−0.0371863 | + | 0.999308i | \(0.511840\pi\) | |||||||
\(942\) | 1.27194e9 | + | 1.01434e9i | 1.52165 | + | 1.21348i | ||||
\(943\) | 4.35371e7 | − | 2.96831e7i | 0.0519188 | − | 0.0353976i | ||||
\(944\) | −2.48836e7 | + | 1.19833e7i | −0.0295799 | + | 0.0142449i | ||||
\(945\) | 5.81513e8i | 0.689071i | ||||||||
\(946\) | −1.45193e9 | − | 1.55779e9i | −1.71503 | − | 1.84007i | ||||
\(947\) | −3.90727e8 | −0.460070 | −0.230035 | − | 0.973182i | \(-0.573884\pi\) | ||||
−0.230035 | + | 0.973182i | \(0.573884\pi\) | |||||||
\(948\) | −3.73495e8 | − | 7.75570e8i | −0.438389 | − | 0.910323i | ||||
\(949\) | −3.62232e7 | − | 5.31297e7i | −0.0423827 | − | 0.0621640i | ||||
\(950\) | 2.86451e8 | − | 3.59199e8i | 0.334103 | − | 0.418951i | ||||
\(951\) | −2.70296e8 | + | 2.91310e8i | −0.314267 | + | 0.338699i | ||||
\(952\) | −9.07372e7 | + | 1.57161e8i | −0.105166 | + | 0.182153i | ||||
\(953\) | −6.60937e8 | + | 3.81592e8i | −0.763627 | + | 0.440880i | −0.830597 | − | 0.556875i | \(-0.812000\pi\) |
0.0669694 | + | 0.997755i | \(0.478667\pi\) | |||||||
\(954\) | −2.25797e7 | − | 5.15366e6i | −0.0260059 | − | 0.00593568i | ||||
\(955\) | −1.17191e8 | + | 2.98597e8i | −0.134550 | + | 0.342827i | ||||
\(956\) | −1.47706e9 | − | 4.55614e8i | −1.69054 | − | 0.521463i | ||||
\(957\) | −5.39424e8 | − | 6.76417e8i | −0.615453 | − | 0.771753i | ||||
\(958\) | −7.77167e7 | − | 5.82406e6i | −0.0883930 | − | 0.00662414i | ||||
\(959\) | 3.84130e8 | − | 1.18488e8i | 0.435534 | − | 0.134344i | ||||
\(960\) | −5.22565e8 | − | 3.56279e8i | −0.590645 | − | 0.402695i | ||||
\(961\) | −4.93588e8 | − | 7.43964e7i | −0.556153 | − | 0.0838266i | ||||
\(962\) | 1.28700e8 | + | 5.63871e8i | 0.144562 | + | 0.633365i | ||||
\(963\) | −1.63215e8 | + | 1.51441e8i | −0.182760 | + | 0.169577i | ||||
\(964\) | 8.38355e8 | − | 6.28260e7i | 0.935830 | − | 0.0701308i | ||||
\(965\) | 7.74352e8 | − | 3.03911e8i | 0.861701 | − | 0.338193i | ||||
\(966\) | 1.51495e8 | + | 1.00511e9i | 0.168062 | + | 1.11502i | ||||
\(967\) | −1.16648e9 | − | 5.61748e8i | −1.29003 | − | 0.621244i | −0.342080 | − | 0.939671i | \(-0.611131\pi\) |
−0.947948 | + | 0.318427i | \(0.896846\pi\) | |||||||
\(968\) | 4.54035e8 | − | 9.42814e8i | 0.500568 | − | 1.03944i | ||||
\(969\) | −1.09345e8 | + | 1.64812e7i | −0.120179 | + | 0.0181141i | ||||
\(970\) | −4.92256e7 | − | 1.25425e8i | −0.0539356 | − | 0.137426i | ||||
\(971\) | 1.81217e7 | + | 2.41817e8i | 0.0197943 | + | 0.264137i | 0.998317 | + | 0.0579968i | \(0.0184713\pi\) |
−0.978522 | + | 0.206140i | \(0.933910\pi\) | |||||||
\(972\) | −8.98573e8 | − | 9.68432e8i | −0.978486 | − | 1.05456i | ||||
\(973\) | 1.28566e9 | − | 2.93442e8i | 1.39568 | − | 0.318555i | ||||
\(974\) | 3.50673e8 | − | 2.32656e9i | 0.379512 | − | 2.51790i | ||||
\(975\) | −1.39730e8 | + | 2.04947e8i | −0.150757 | + | 0.221119i | ||||
\(976\) | 1.14055e8 | + | 3.69757e8i | 0.122678 | + | 0.397711i | ||||
\(977\) | 3.56487e7 | − | 4.75699e8i | 0.0382261 | − | 0.510092i | −0.944924 | − | 0.327291i | \(-0.893864\pi\) |
0.983150 | − | 0.182801i | \(-0.0585165\pi\) | |||||||
\(978\) | 7.74544e8 | − | 6.17678e8i | 0.827999 | − | 0.660307i | ||||
\(979\) | 5.92895e8 | − | 1.92212e9i | 0.631872 | − | 2.04848i | ||||
\(980\) | 3.66641e7 | + | 1.43896e7i | 0.0389550 | + | 0.0152887i | ||||
\(981\) | −2.14675e8 | + | 9.40551e8i | −0.227391 | + | 0.996266i | ||||
\(982\) | 7.34188e8 | + | 1.27165e9i | 0.775305 | + | 1.34287i | ||||
\(983\) | −3.82023e8 | − | 2.20561e8i | −0.402188 | − | 0.232203i | 0.285240 | − | 0.958456i | \(-0.407927\pi\) |
−0.687428 | + | 0.726253i | \(0.741260\pi\) | |||||||
\(984\) | 1.81382e7 | + | 1.68298e7i | 0.0190375 | + | 0.0176642i | ||||
\(985\) | −8.49202e8 | − | 6.77216e8i | −0.888592 | − | 0.708628i | ||||
\(986\) | 3.48642e8 | − | 2.37700e8i | 0.363705 | − | 0.247970i | ||||
\(987\) | −2.25227e8 | + | 1.08464e8i | −0.234244 | + | 0.112806i | ||||
\(988\) | 7.41123e8i | 0.768456i | ||||||||
\(989\) | 2.43938e8 | − | 1.07992e9i | 0.252168 | − | 1.11635i | ||||
\(990\) | 9.95624e8 | 1.02610 | ||||||||
\(991\) | −4.85176e8 | − | 1.00748e9i | −0.498515 | − | 1.03518i | −0.986717 | − | 0.162447i | \(-0.948061\pi\) |
0.488202 | − | 0.872731i | \(-0.337653\pi\) | |||||||
\(992\) | −8.41575e8 | − | 1.23436e9i | −0.862100 | − | 1.26447i | ||||
\(993\) | −4.23525e8 | + | 5.31084e8i | −0.432545 | + | 0.542395i | ||||
\(994\) | 8.62148e8 | − | 9.29174e8i | 0.877854 | − | 0.946102i | ||||
\(995\) | −4.80848e8 | + | 8.32853e8i | −0.488133 | + | 0.845471i | ||||
\(996\) | −3.08951e8 | + | 1.78373e8i | −0.312689 | + | 0.180531i | ||||
\(997\) | −3.66557e8 | − | 8.36642e7i | −0.369876 | − | 0.0844217i | 0.0335429 | − | 0.999437i | \(-0.489321\pi\) |
−0.403418 | + | 0.915016i | \(0.632178\pi\) | |||||||
\(998\) | −3.04285e8 | + | 7.75304e8i | −0.306118 | + | 0.779975i | ||||
\(999\) | 5.00788e8 | + | 1.54473e8i | 0.502293 | + | 0.154937i |
(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.12.18 | ✓ | 252 | |
43.18 | odd | 42 | inner | 43.7.h.a.18.18 | yes | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.12.18 | ✓ | 252 | 1.1 | even | 1 | trivial | |
43.7.h.a.18.18 | yes | 252 | 43.18 | odd | 42 | inner |