Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,8,Mod(9,43)]
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([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), 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: | \(13.4325560958\) |
Analytic rank: | \(0\) |
Dimension: | \(300\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 24.9 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.8.g.a.9.9 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.72725 | + | 7.18175i | −0.506222 | + | 0.634783i | −0.967620 | − | 0.252411i | \(-0.918777\pi\) |
0.461398 | + | 0.887193i | \(0.347348\pi\) | |||||||
\(3\) | 9.19934 | − | 1.38658i | 0.196713 | − | 0.0296497i | −0.0499468 | − | 0.998752i | \(-0.515905\pi\) |
0.246659 | + | 0.969102i | \(0.420667\pi\) | |||||||
\(4\) | 9.70661 | + | 42.5274i | 0.0758329 | + | 0.332246i | ||||
\(5\) | 445.851 | − | 303.976i | 1.59513 | − | 1.08754i | 0.650443 | − | 0.759555i | \(-0.274583\pi\) |
0.944683 | − | 0.327984i | \(-0.106369\pi\) | |||||||
\(6\) | −42.7289 | + | 74.0086i | −0.0807593 | + | 0.139879i | ||||
\(7\) | −356.405 | − | 617.311i | −0.392736 | − | 0.680238i | 0.600074 | − | 0.799945i | \(-0.295138\pi\) |
−0.992809 | + | 0.119707i | \(0.961805\pi\) | |||||||
\(8\) | −1420.36 | − | 684.008i | −0.980804 | − | 0.472331i | ||||
\(9\) | −2007.13 | + | 619.118i | −0.917756 | + | 0.283090i | ||||
\(10\) | −370.422 | + | 4942.94i | −0.117138 | + | 1.56310i | ||||
\(11\) | 644.393 | − | 2823.27i | 0.145974 | − | 0.639555i | −0.848005 | − | 0.529988i | \(-0.822196\pi\) |
0.993979 | − | 0.109567i | \(-0.0349465\pi\) | |||||||
\(12\) | 148.262 | + | 377.765i | 0.0247683 | + | 0.0631085i | ||||
\(13\) | −615.967 | − | 8219.51i | −0.0777600 | − | 1.03763i | −0.890493 | − | 0.454998i | \(-0.849640\pi\) |
0.812733 | − | 0.582637i | \(-0.197979\pi\) | |||||||
\(14\) | 6474.59 | + | 975.887i | 0.630615 | + | 0.0950499i | ||||
\(15\) | 3680.05 | − | 3414.59i | 0.281536 | − | 0.261228i | ||||
\(16\) | 8016.55 | − | 3860.57i | 0.489291 | − | 0.235630i | ||||
\(17\) | −25301.9 | − | 17250.5i | −1.24906 | − | 0.851591i | −0.255708 | − | 0.966754i | \(-0.582309\pi\) |
−0.993347 | + | 0.115163i | \(0.963261\pi\) | |||||||
\(18\) | 7049.00 | − | 17960.6i | 0.284888 | − | 0.725882i | ||||
\(19\) | 45077.8 | + | 13904.7i | 1.50774 | + | 0.465075i | 0.934995 | − | 0.354661i | \(-0.115404\pi\) |
0.572741 | + | 0.819736i | \(0.305880\pi\) | |||||||
\(20\) | 17255.0 | + | 16010.3i | 0.482293 | + | 0.447503i | ||||
\(21\) | −4134.64 | − | 5184.67i | −0.0974249 | − | 0.122167i | ||||
\(22\) | 16585.4 | + | 20797.5i | 0.332083 | + | 0.416419i | ||||
\(23\) | −36582.7 | − | 33943.8i | −0.626943 | − | 0.581718i | 0.301375 | − | 0.953506i | \(-0.402554\pi\) |
−0.928318 | + | 0.371788i | \(0.878745\pi\) | |||||||
\(24\) | −14014.8 | − | 4322.99i | −0.206941 | − | 0.0638329i | ||||
\(25\) | 77839.6 | − | 198332.i | 0.996347 | − | 2.53865i | ||||
\(26\) | 62558.3 | + | 42651.5i | 0.698036 | + | 0.475913i | ||||
\(27\) | −35937.1 | + | 17306.4i | −0.351375 | + | 0.169213i | ||||
\(28\) | 22793.2 | − | 21149.0i | 0.196224 | − | 0.182069i | ||||
\(29\) | 154587. | + | 23300.3i | 1.17701 | + | 0.177406i | 0.708278 | − | 0.705934i | \(-0.249473\pi\) |
0.468733 | + | 0.883340i | \(0.344711\pi\) | |||||||
\(30\) | 3446.13 | + | 45985.4i | 0.0233028 | + | 0.310954i | ||||
\(31\) | 49661.5 | + | 126536.i | 0.299402 | + | 0.762863i | 0.998839 | + | 0.0481694i | \(0.0153387\pi\) |
−0.699437 | + | 0.714694i | \(0.746566\pi\) | |||||||
\(32\) | 26715.1 | − | 117047.i | 0.144123 | − | 0.631442i | ||||
\(33\) | 2013.31 | − | 26865.7i | 0.00975240 | − | 0.130137i | ||||
\(34\) | 268799. | − | 82913.6i | 1.17287 | − | 0.361784i | ||||
\(35\) | −346551. | − | 166890.i | −1.36625 | − | 0.657950i | ||||
\(36\) | −45812.0 | − | 79348.7i | −0.163652 | − | 0.283453i | ||||
\(37\) | −157467. | + | 272741.i | −0.511074 | + | 0.885206i | 0.488844 | + | 0.872371i | \(0.337419\pi\) |
−0.999918 | + | 0.0128348i | \(0.995914\pi\) | |||||||
\(38\) | −358032. | + | 244102.i | −1.05847 | + | 0.721654i | ||||
\(39\) | −17063.5 | − | 74760.0i | −0.0460619 | − | 0.201810i | ||||
\(40\) | −841190. | + | 126789.i | −2.07819 | + | 0.313236i | ||||
\(41\) | −178082. | + | 223307.i | −0.403530 | + | 0.506010i | −0.941528 | − | 0.336936i | \(-0.890609\pi\) |
0.537998 | + | 0.842946i | \(0.319181\pi\) | |||||||
\(42\) | 60915.1 | 0.126868 | ||||||||
\(43\) | 423568. | − | 303988.i | 0.812425 | − | 0.583065i | ||||
\(44\) | 126321. | 0.223559 | ||||||||
\(45\) | −706686. | + | 886156.i | −1.15607 | + | 1.44966i | ||||
\(46\) | 453294. | − | 68323.0i | 0.686637 | − | 0.103494i | ||||
\(47\) | −81470.5 | − | 356946.i | −0.114461 | − | 0.501487i | −0.999362 | − | 0.0357080i | \(-0.988631\pi\) |
0.884901 | − | 0.465779i | \(-0.154226\pi\) | |||||||
\(48\) | 68394.0 | − | 46630.2i | 0.0892634 | − | 0.0608588i | ||||
\(49\) | 157723. | − | 273184.i | 0.191518 | − | 0.331718i | ||||
\(50\) | 978564. | + | 1.69492e6i | 1.10712 | + | 1.91759i | ||||
\(51\) | −256680. | − | 123611.i | −0.270954 | − | 0.130485i | ||||
\(52\) | 343576. | − | 105979.i | 0.338853 | − | 0.104522i | ||||
\(53\) | −8143.56 | + | 108668.i | −0.00751362 | + | 0.100262i | −0.999700 | − | 0.0245045i | \(-0.992199\pi\) |
0.992186 | + | 0.124767i | \(0.0398182\pi\) | |||||||
\(54\) | 81530.8 | − | 357210.i | 0.0704601 | − | 0.308706i | ||||
\(55\) | −570904. | − | 1.45464e6i | −0.462694 | − | 1.17892i | ||||
\(56\) | 83976.2 | + | 1.12059e6i | 0.0638996 | + | 0.852681i | ||||
\(57\) | 433966. | + | 65409.9i | 0.310380 | + | 0.0467823i | ||||
\(58\) | −1.05270e6 | + | 976759.i | −0.708443 | + | 0.657339i | ||||
\(59\) | −168215. | + | 81008.2i | −0.106631 | + | 0.0513508i | −0.486439 | − | 0.873715i | \(-0.661704\pi\) |
0.379808 | + | 0.925065i | \(0.375990\pi\) | |||||||
\(60\) | 180935. | + | 123359.i | 0.108141 | + | 0.0737296i | ||||
\(61\) | −29093.2 | + | 74128.3i | −0.0164111 | + | 0.0418147i | −0.938844 | − | 0.344341i | \(-0.888102\pi\) |
0.922433 | + | 0.386156i | \(0.126197\pi\) | |||||||
\(62\) | −1.19317e6 | − | 368044.i | −0.635816 | − | 0.196123i | ||||
\(63\) | 1.09754e6 | + | 1.01837e6i | 0.553004 | + | 0.513113i | ||||
\(64\) | 1.39769e6 | + | 1.75265e6i | 0.666471 | + | 0.835728i | ||||
\(65\) | −2.77317e6 | − | 3.47744e6i | −1.25250 | − | 1.57059i | ||||
\(66\) | 181412. | + | 168326.i | 0.0776717 | + | 0.0720688i | ||||
\(67\) | −2.08697e6 | − | 643746.i | −0.847725 | − | 0.261488i | −0.159691 | − | 0.987167i | \(-0.551050\pi\) |
−0.688034 | + | 0.725679i | \(0.741526\pi\) | |||||||
\(68\) | 488025. | − | 1.24347e6i | 0.188218 | − | 0.479572i | ||||
\(69\) | −383602. | − | 261535.i | −0.140575 | − | 0.0958426i | ||||
\(70\) | 3.18335e6 | − | 1.53302e6i | 1.10928 | − | 0.534201i | ||||
\(71\) | 2.30346e6 | − | 2.13730e6i | 0.763796 | − | 0.708699i | −0.198680 | − | 0.980064i | \(-0.563666\pi\) |
0.962476 | + | 0.271365i | \(0.0874751\pi\) | |||||||
\(72\) | 3.27433e6 | + | 493525.i | 1.03385 | + | 0.155828i | ||||
\(73\) | 391954. | + | 5.23026e6i | 0.117925 | + | 1.57360i | 0.671632 | + | 0.740885i | \(0.265594\pi\) |
−0.553707 | + | 0.832711i | \(0.686787\pi\) | |||||||
\(74\) | −1.05690e6 | − | 2.69295e6i | −0.303197 | − | 0.772532i | ||||
\(75\) | 441070. | − | 1.93246e6i | 0.120724 | − | 0.528926i | ||||
\(76\) | −153777. | + | 2.05201e6i | −0.0401831 | + | 0.536207i | ||||
\(77\) | −1.97250e6 | + | 608436.i | −0.492379 | + | 0.151879i | ||||
\(78\) | 634634. | + | 305624.i | 0.151423 | + | 0.0729216i | ||||
\(79\) | −728587. | − | 1.26195e6i | −0.166260 | − | 0.287970i | 0.770842 | − | 0.637026i | \(-0.219836\pi\) |
−0.937102 | + | 0.349056i | \(0.886502\pi\) | |||||||
\(80\) | 2.40067e6 | − | 4.15808e6i | 0.524224 | − | 0.907983i | ||||
\(81\) | 3.48888e6 | − | 2.37868e6i | 0.729438 | − | 0.497322i | ||||
\(82\) | −583818. | − | 2.55787e6i | −0.116931 | − | 0.512307i | ||||
\(83\) | 3.54221e6 | − | 533903.i | 0.679989 | − | 0.102492i | 0.200039 | − | 0.979788i | \(-0.435893\pi\) |
0.479949 | + | 0.877296i | \(0.340655\pi\) | |||||||
\(84\) | 180357. | − | 226161.i | 0.0332014 | − | 0.0416333i | ||||
\(85\) | −1.65246e7 | −2.91854 | ||||||||
\(86\) | −242714. | + | 4.78297e6i | −0.0411481 | + | 0.810874i | ||||
\(87\) | 1.45441e6 | 0.236793 | ||||||||
\(88\) | −2.84641e6 | + | 3.56928e6i | −0.445254 | + | 0.558331i | ||||
\(89\) | 3.86183e6 | − | 582077.i | 0.580669 | − | 0.0875217i | 0.147861 | − | 0.989008i | \(-0.452761\pi\) |
0.432807 | + | 0.901486i | \(0.357523\pi\) | |||||||
\(90\) | −2.31678e6 | − | 1.01505e7i | −0.334993 | − | 1.46770i | ||||
\(91\) | −4.85446e6 | + | 3.30972e6i | −0.675299 | + | 0.460411i | ||||
\(92\) | 1.08845e6 | − | 1.88525e6i | 0.145730 | − | 0.252412i | ||||
\(93\) | 632305. | + | 1.09518e6i | 0.0815148 | + | 0.141188i | ||||
\(94\) | 3.03009e6 | + | 1.45922e6i | 0.376278 | + | 0.181206i | ||||
\(95\) | 2.43247e7 | − | 7.50318e6i | 2.91082 | − | 0.897868i | ||||
\(96\) | 83467.3 | − | 1.11379e6i | 0.00962869 | − | 0.128486i | ||||
\(97\) | −3.21483e6 | + | 1.40851e7i | −0.357649 | + | 1.56696i | 0.401382 | + | 0.915911i | \(0.368530\pi\) |
−0.759032 | + | 0.651054i | \(0.774327\pi\) | |||||||
\(98\) | 1.05862e6 | + | 2.69732e6i | 0.113619 | + | 0.289495i | ||||
\(99\) | 454557. | + | 6.06564e6i | 0.0470831 | + | 0.628280i | ||||
\(100\) | 9.19011e6 | + | 1.38519e6i | 0.919011 | + | 0.138519i | ||||
\(101\) | 2.29742e6 | − | 2.13169e6i | 0.221878 | − | 0.205873i | −0.561399 | − | 0.827545i | \(-0.689737\pi\) |
0.783278 | + | 0.621672i | \(0.213546\pi\) | |||||||
\(102\) | 2.35781e6 | − | 1.13546e6i | 0.219993 | − | 0.105943i | ||||
\(103\) | −1.69238e7 | − | 1.15385e7i | −1.52605 | − | 1.04044i | −0.979126 | − | 0.203256i | \(-0.934848\pi\) |
−0.546921 | − | 0.837185i | \(-0.684200\pi\) | |||||||
\(104\) | −4.74732e6 | + | 1.20960e7i | −0.413839 | + | 1.05444i | ||||
\(105\) | −3.41945e6 | − | 1.05476e6i | −0.288266 | − | 0.0889184i | ||||
\(106\) | −733788. | − | 680856.i | −0.0598412 | − | 0.0555245i | ||||
\(107\) | −217852. | − | 273178.i | −0.0171917 | − | 0.0215577i | 0.773161 | − | 0.634209i | \(-0.218674\pi\) |
−0.790353 | + | 0.612652i | \(0.790103\pi\) | |||||||
\(108\) | −1.08483e6 | − | 1.36033e6i | −0.0828661 | − | 0.103911i | ||||
\(109\) | 1.08421e6 | + | 1.00600e6i | 0.0801901 | + | 0.0744055i | 0.719250 | − | 0.694752i | \(-0.244486\pi\) |
−0.639059 | + | 0.769157i | \(0.720676\pi\) | |||||||
\(110\) | 1.37166e7 | + | 4.23100e6i | 0.982587 | + | 0.303088i | ||||
\(111\) | −1.07042e6 | + | 2.72738e6i | −0.0742887 | + | 0.189284i | ||||
\(112\) | −5.24030e6 | − | 3.57278e6i | −0.352447 | − | 0.240294i | ||||
\(113\) | −2.02967e7 | + | 9.77435e6i | −1.32327 | + | 0.637255i | −0.956139 | − | 0.292912i | \(-0.905376\pi\) |
−0.367135 | + | 0.930168i | \(0.619661\pi\) | |||||||
\(114\) | −2.95519e6 | + | 2.74202e6i | −0.186818 | + | 0.173342i | ||||
\(115\) | −2.66285e7 | − | 4.01361e6i | −1.63269 | − | 0.246089i | ||||
\(116\) | 509617. | + | 6.80036e6i | 0.0303138 | + | 0.404510i | ||||
\(117\) | 6.32518e6 | + | 1.61163e7i | 0.365109 | + | 0.930282i | ||||
\(118\) | 381631. | − | 1.67203e6i | 0.0213824 | − | 0.0936824i | ||||
\(119\) | −1.63123e6 | + | 2.17673e7i | −0.0887364 | + | 1.18410i | ||||
\(120\) | −7.56259e6 | + | 2.33275e6i | −0.399518 | + | 0.123235i | ||||
\(121\) | 1.00017e7 | + | 4.81657e6i | 0.513246 | + | 0.247166i | ||||
\(122\) | −365746. | − | 633491.i | −0.0182356 | − | 0.0315850i | ||||
\(123\) | −1.32860e6 | + | 2.30120e6i | −0.0643764 | + | 0.111503i | ||||
\(124\) | −4.89919e6 | + | 3.34021e6i | −0.230753 | + | 0.157325i | ||||
\(125\) | −1.62024e7 | − | 7.09875e7i | −0.741986 | − | 3.25085i | ||||
\(126\) | −1.35995e7 | + | 2.04980e6i | −0.605658 | + | 0.0912883i | ||||
\(127\) | −1.82349e7 | + | 2.28659e7i | −0.789935 | + | 0.990547i | 0.209983 | + | 0.977705i | \(0.432659\pi\) |
−0.999918 | + | 0.0128420i | \(0.995912\pi\) | |||||||
\(128\) | −5.22475e6 | −0.220207 | ||||||||
\(129\) | 3.47504e6 | − | 3.38380e6i | 0.142527 | − | 0.138784i | ||||
\(130\) | 4.08567e7 | 1.63103 | ||||||||
\(131\) | 4.90233e6 | − | 6.14733e6i | 0.190526 | − | 0.238912i | −0.677389 | − | 0.735625i | \(-0.736889\pi\) |
0.867915 | + | 0.496713i | \(0.165460\pi\) | |||||||
\(132\) | 1.16207e6 | − | 175154.i | 0.0439769 | − | 0.00662845i | ||||
\(133\) | −7.48244e6 | − | 3.27827e7i | −0.275780 | − | 1.20827i | ||||
\(134\) | 1.65758e7 | − | 1.13012e7i | 0.595125 | − | 0.405750i | ||||
\(135\) | −1.07619e7 | + | 1.86401e7i | −0.376461 | + | 0.652050i | ||||
\(136\) | 2.41382e7 | + | 4.18086e7i | 0.822846 | + | 1.42521i | ||||
\(137\) | 2.84199e7 | + | 1.36863e7i | 0.944280 | + | 0.454741i | 0.841677 | − | 0.539981i | \(-0.181569\pi\) |
0.102603 | + | 0.994722i | \(0.467283\pi\) | |||||||
\(138\) | 4.07527e6 | − | 1.25705e6i | 0.132002 | − | 0.0407171i | ||||
\(139\) | 1.43059e6 | − | 1.90899e7i | 0.0451819 | − | 0.602911i | −0.927956 | − | 0.372689i | \(-0.878436\pi\) |
0.973138 | − | 0.230222i | \(-0.0739451\pi\) | |||||||
\(140\) | 3.73358e6 | − | 1.63579e7i | 0.114995 | − | 0.503824i | ||||
\(141\) | −1.24441e6 | − | 3.17070e6i | −0.0373849 | − | 0.0952551i | ||||
\(142\) | 2.15705e6 | + | 2.87838e7i | 0.0632194 | + | 0.843604i | ||||
\(143\) | −2.36028e7 | − | 3.55756e6i | −0.674976 | − | 0.101736i | ||||
\(144\) | −1.37001e7 | + | 1.27119e7i | −0.382345 | + | 0.354765i | ||||
\(145\) | 7.60056e7 | − | 3.66024e7i | 2.07042 | − | 0.997060i | ||||
\(146\) | −3.98072e7 | − | 2.71401e7i | −1.05859 | − | 0.721733i | ||||
\(147\) | 1.07216e6 | − | 2.73181e6i | 0.0278386 | − | 0.0709316i | ||||
\(148\) | −1.31275e7 | − | 4.04928e6i | −0.332862 | − | 0.102674i | ||||
\(149\) | −1.37657e7 | − | 1.27727e7i | −0.340915 | − | 0.316323i | 0.491071 | − | 0.871119i | \(-0.336606\pi\) |
−0.831986 | + | 0.554797i | \(0.812796\pi\) | |||||||
\(150\) | 1.13523e7 | + | 1.42353e7i | 0.274640 | + | 0.344388i | ||||
\(151\) | −2.38184e6 | − | 2.98673e6i | −0.0562980 | − | 0.0705955i | 0.752885 | − | 0.658152i | \(-0.228662\pi\) |
−0.809183 | + | 0.587556i | \(0.800090\pi\) | |||||||
\(152\) | −5.45157e7 | − | 5.05832e7i | −1.25913 | − | 1.16830i | ||||
\(153\) | 6.14643e7 | + | 1.89592e7i | 1.38741 | + | 0.427958i | ||||
\(154\) | 6.92738e6 | − | 1.76507e7i | 0.152843 | − | 0.389438i | ||||
\(155\) | 6.06055e7 | + | 4.13201e7i | 1.30723 | + | 0.891252i | ||||
\(156\) | 3.01372e6 | − | 1.45133e6i | 0.0635576 | − | 0.0306077i | ||||
\(157\) | −1.52727e7 | + | 1.41710e7i | −0.314969 | + | 0.292248i | −0.821775 | − | 0.569812i | \(-0.807016\pi\) |
0.506807 | + | 0.862060i | \(0.330826\pi\) | |||||||
\(158\) | 1.32358e7 | + | 1.99498e6i | 0.266963 | + | 0.0402381i | ||||
\(159\) | 75761.6 | + | 1.01097e6i | 0.00149472 | + | 0.0199456i | ||||
\(160\) | −2.36684e7 | − | 6.03061e7i | −0.456824 | − | 1.16397i | ||||
\(161\) | −7.91562e6 | + | 3.46806e7i | −0.149484 | + | 0.654932i | ||||
\(162\) | −2.89863e6 | + | 3.86795e7i | −0.0535661 | + | 0.714790i | ||||
\(163\) | 1.01656e8 | − | 3.13567e7i | 1.83855 | − | 0.567118i | 0.838810 | − | 0.544424i | \(-0.183252\pi\) |
0.999742 | − | 0.0226944i | \(-0.00722448\pi\) | |||||||
\(164\) | −1.12253e7 | − | 5.40580e6i | −0.198721 | − | 0.0956988i | ||||
\(165\) | −7.26891e6 | − | 1.25901e7i | −0.125972 | − | 0.218191i | ||||
\(166\) | −1.64528e7 | + | 2.84971e7i | −0.279165 | + | 0.483529i | ||||
\(167\) | 7.01069e7 | − | 4.77981e7i | 1.16480 | − | 0.794150i | 0.182826 | − | 0.983145i | \(-0.441475\pi\) |
0.981978 | + | 0.188995i | \(0.0605230\pi\) | |||||||
\(168\) | 2.32630e6 | + | 1.01922e7i | 0.0378516 | + | 0.165839i | ||||
\(169\) | −5.13332e6 | + | 773723.i | −0.0818078 | + | 0.0123305i | ||||
\(170\) | 9.46407e7 | − | 1.18676e8i | 1.47743 | − | 1.85264i | ||||
\(171\) | −9.90858e7 | −1.51539 | ||||||||
\(172\) | 1.70392e7 | + | 1.50626e7i | 0.255329 | + | 0.225709i | ||||
\(173\) | 5.18097e7 | 0.760763 | 0.380382 | − | 0.924830i | \(-0.375793\pi\) | ||||
0.380382 | + | 0.924830i | \(0.375793\pi\) | |||||||
\(174\) | −8.32976e6 | + | 1.04452e7i | −0.119870 | + | 0.150312i | ||||
\(175\) | −1.50175e8 | + | 2.26352e7i | −2.11819 | + | 0.319265i | ||||
\(176\) | −5.73362e6 | − | 2.51206e7i | −0.0792746 | − | 0.347325i | ||||
\(177\) | −1.43515e6 | + | 978466.i | −0.0194531 | + | 0.0132629i | ||||
\(178\) | −1.79373e7 | + | 3.10684e7i | −0.238390 | + | 0.412904i | ||||
\(179\) | −1.40117e7 | − | 2.42689e7i | −0.182601 | − | 0.316275i | 0.760164 | − | 0.649731i | \(-0.225118\pi\) |
−0.942766 | + | 0.333456i | \(0.891785\pi\) | |||||||
\(180\) | −4.45454e7 | − | 2.14520e7i | −0.569311 | − | 0.274166i | ||||
\(181\) | −5.28286e7 | + | 1.62955e7i | −0.662208 | + | 0.204264i | −0.607599 | − | 0.794244i | \(-0.707867\pi\) |
−0.0546087 | + | 0.998508i | \(0.517391\pi\) | |||||||
\(182\) | 4.03318e6 | − | 5.38191e7i | 0.0495905 | − | 0.661739i | ||||
\(183\) | −164854. | + | 722271.i | −0.00198847 | + | 0.00871207i | ||||
\(184\) | 2.87426e7 | + | 7.32351e7i | 0.340145 | + | 0.866676i | ||||
\(185\) | 1.26999e7 | + | 1.69468e8i | 0.147468 | + | 1.96783i | ||||
\(186\) | −1.14867e7 | − | 1.73134e6i | −0.130888 | − | 0.0197282i | ||||
\(187\) | −6.50073e7 | + | 6.03179e7i | −0.726970 | + | 0.674529i | ||||
\(188\) | 1.43892e7 | − | 6.92946e6i | 0.157937 | − | 0.0760584i | ||||
\(189\) | 2.34916e7 | + | 1.60163e7i | 0.253102 | + | 0.172562i | ||||
\(190\) | −8.54278e7 | + | 2.17666e8i | −0.903570 | + | 2.30226i | ||||
\(191\) | −2.00032e6 | − | 617018.i | −0.0207722 | − | 0.00640739i | 0.284352 | − | 0.958720i | \(-0.408222\pi\) |
−0.305124 | + | 0.952313i | \(0.598698\pi\) | |||||||
\(192\) | 1.52880e7 | + | 1.41852e7i | 0.155882 | + | 0.144638i | ||||
\(193\) | −4.86420e7 | − | 6.09951e7i | −0.487036 | − | 0.610723i | 0.476215 | − | 0.879329i | \(-0.342009\pi\) |
−0.963250 | + | 0.268606i | \(0.913437\pi\) | |||||||
\(194\) | −8.27435e7 | − | 1.03757e8i | −0.813632 | − | 1.02026i | ||||
\(195\) | −3.03331e7 | − | 2.81450e7i | −0.292951 | − | 0.271819i | ||||
\(196\) | 1.31488e7 | + | 4.05586e6i | 0.124735 | + | 0.0384757i | ||||
\(197\) | 1.16031e7 | − | 2.95643e7i | 0.108129 | − | 0.275509i | −0.866560 | − | 0.499073i | \(-0.833674\pi\) |
0.974689 | + | 0.223564i | \(0.0717691\pi\) | |||||||
\(198\) | −4.61652e7 | − | 3.14749e7i | −0.422656 | − | 0.288162i | ||||
\(199\) | 1.65351e8 | − | 7.96287e7i | 1.48737 | − | 0.716282i | 0.498758 | − | 0.866741i | \(-0.333790\pi\) |
0.988616 | + | 0.150459i | \(0.0480753\pi\) | |||||||
\(200\) | −2.46221e8 | + | 2.28459e8i | −2.17630 | + | 2.01931i | ||||
\(201\) | −2.00914e7 | − | 3.02829e6i | −0.174511 | − | 0.0263033i | ||||
\(202\) | 2.15138e6 | + | 2.87082e7i | 0.0183649 | + | 0.245062i | ||||
\(203\) | −4.07121e7 | − | 1.03733e8i | −0.341576 | − | 0.870321i | ||||
\(204\) | 2.76535e6 | − | 1.21158e7i | 0.0228057 | − | 0.0999184i | ||||
\(205\) | −1.15178e7 | + | 1.53694e8i | −0.0933752 | + | 1.24600i | ||||
\(206\) | 1.79793e8 | − | 5.54588e7i | 1.43297 | − | 0.442013i | ||||
\(207\) | 9.44415e7 | + | 4.54806e7i | 0.740059 | + | 0.356394i | ||||
\(208\) | −3.66699e7 | − | 6.35141e7i | −0.282545 | − | 0.489383i | ||||
\(209\) | 6.83045e7 | − | 1.18307e8i | 0.517532 | − | 0.896392i | ||||
\(210\) | 2.71591e7 | − | 1.85168e7i | 0.202371 | − | 0.137974i | ||||
\(211\) | 4.07726e7 | + | 1.78636e8i | 0.298799 | + | 1.30912i | 0.871918 | + | 0.489652i | \(0.162876\pi\) |
−0.573119 | + | 0.819472i | \(0.694267\pi\) | |||||||
\(212\) | −4.70043e6 | + | 708476.i | −0.0338815 | + | 0.00510681i | ||||
\(213\) | 1.82268e7 | − | 2.28557e7i | 0.129236 | − | 0.162056i | ||||
\(214\) | 3.20959e6 | 0.0223873 | ||||||||
\(215\) | 9.64431e7 | − | 2.64288e8i | 0.661815 | − | 1.81361i | ||||
\(216\) | 6.28813e7 | 0.424554 | ||||||||
\(217\) | 6.04122e7 | − | 7.57545e7i | 0.401343 | − | 0.503268i | ||||
\(218\) | −1.34344e7 | + | 2.02491e6i | −0.0878254 | + | 0.0132375i | ||||
\(219\) | 1.08579e7 | + | 4.75715e7i | 0.0698539 | + | 0.306050i | ||||
\(220\) | 5.63206e7 | − | 3.83987e7i | 0.356605 | − | 0.243129i | ||||
\(221\) | −1.26206e8 | + | 2.18595e8i | −0.786514 | + | 1.36228i | ||||
\(222\) | −1.34568e7 | − | 2.33078e7i | −0.0825479 | − | 0.142977i | ||||
\(223\) | 1.68282e8 | + | 8.10404e7i | 1.01618 | + | 0.489367i | 0.866399 | − | 0.499352i | \(-0.166429\pi\) |
0.149781 | + | 0.988719i | \(0.452143\pi\) | |||||||
\(224\) | −8.17755e7 | + | 2.52244e7i | −0.486133 | + | 0.149952i | ||||
\(225\) | −3.34434e7 | + | 4.46271e8i | −0.195736 | + | 2.61192i | ||||
\(226\) | 4.60471e7 | − | 2.01746e8i | 0.265352 | − | 1.16258i | ||||
\(227\) | 2.89622e7 | + | 7.37945e7i | 0.164339 | + | 0.418730i | 0.989194 | − | 0.146616i | \(-0.0468381\pi\) |
−0.824854 | + | 0.565345i | \(0.808743\pi\) | |||||||
\(228\) | 1.43063e6 | + | 1.90904e7i | 0.00799382 | + | 0.106670i | ||||
\(229\) | −1.80499e8 | − | 2.72058e7i | −0.993229 | − | 0.149705i | −0.367732 | − | 0.929932i | \(-0.619866\pi\) |
−0.625497 | + | 0.780227i | \(0.715104\pi\) | |||||||
\(230\) | 1.81333e8 | − | 1.68252e8i | 0.982719 | − | 0.911830i | ||||
\(231\) | −1.73021e7 | + | 8.33224e6i | −0.0923541 | + | 0.0444754i | ||||
\(232\) | −2.03631e8 | − | 1.38833e8i | −1.07062 | − | 0.729939i | ||||
\(233\) | 1.91332e7 | − | 4.87507e7i | 0.0990929 | − | 0.252485i | −0.872727 | − | 0.488208i | \(-0.837651\pi\) |
0.971820 | + | 0.235723i | \(0.0757460\pi\) | |||||||
\(234\) | −1.51969e8 | − | 4.68762e7i | −0.775353 | − | 0.239165i | ||||
\(235\) | −1.44827e8 | − | 1.34380e8i | −0.727966 | − | 0.675454i | ||||
\(236\) | −5.07787e6 | − | 6.36745e6i | −0.0251472 | − | 0.0315336i | ||||
\(237\) | −8.45231e6 | − | 1.05989e7i | −0.0412436 | − | 0.0517178i | ||||
\(238\) | −1.46985e8 | − | 1.36382e8i | −0.706729 | − | 0.655749i | ||||
\(239\) | 1.15235e8 | + | 3.55453e7i | 0.546000 | + | 0.168419i | 0.555470 | − | 0.831537i | \(-0.312538\pi\) |
−0.00947034 | + | 0.999955i | \(0.503015\pi\) | |||||||
\(240\) | 1.63191e7 | − | 4.15803e7i | 0.0762002 | − | 0.194155i | ||||
\(241\) | 2.68940e8 | + | 1.83360e8i | 1.23764 | + | 0.843810i | 0.992085 | − | 0.125571i | \(-0.0400764\pi\) |
0.245558 | + | 0.969382i | \(0.421029\pi\) | |||||||
\(242\) | −9.18737e7 | + | 4.42441e7i | −0.416714 | + | 0.200679i | ||||
\(243\) | 9.27437e7 | − | 8.60536e7i | 0.414632 | − | 0.384722i | ||||
\(244\) | −3.43488e6 | − | 517725.i | −0.0151373 | − | 0.00228158i | ||||
\(245\) | −1.27205e7 | − | 1.69744e8i | −0.0552617 | − | 0.737416i | ||||
\(246\) | −8.91743e6 | − | 2.27212e7i | −0.0381915 | − | 0.0973104i | ||||
\(247\) | 8.65231e7 | − | 3.79083e8i | 0.365336 | − | 1.60064i | ||||
\(248\) | 1.60142e7 | − | 2.13695e8i | 0.0666690 | − | 0.889636i | ||||
\(249\) | 3.18457e7 | − | 9.82311e6i | 0.130724 | − | 0.0403229i | ||||
\(250\) | 6.02610e8 | + | 2.90202e8i | 2.43919 | + | 1.17465i | ||||
\(251\) | 7.52805e7 | + | 1.30390e8i | 0.300486 | + | 0.520458i | 0.976246 | − | 0.216664i | \(-0.0695177\pi\) |
−0.675760 | + | 0.737122i | \(0.736184\pi\) | |||||||
\(252\) | −3.26552e7 | + | 5.65605e7i | −0.128544 | + | 0.222644i | ||||
\(253\) | −1.19406e8 | + | 8.14097e7i | −0.463558 | + | 0.316049i | ||||
\(254\) | −5.97809e7 | − | 2.61917e8i | −0.228899 | − | 1.00287i | ||||
\(255\) | −1.52016e8 | + | 2.29127e7i | −0.574114 | + | 0.0865337i | ||||
\(256\) | −1.48981e8 | + | 1.86816e8i | −0.554997 | + | 0.695944i | ||||
\(257\) | −1.20519e8 | −0.442884 | −0.221442 | − | 0.975174i | \(-0.571076\pi\) | ||||
−0.221442 | + | 0.975174i | \(0.571076\pi\) | |||||||
\(258\) | 4.39916e6 | + | 4.43368e7i | 0.0159478 | + | 0.160729i | ||||
\(259\) | 2.24488e8 | 0.802868 | ||||||||
\(260\) | 1.20969e8 | − | 1.51690e8i | 0.426841 | − | 0.535242i | ||||
\(261\) | −3.24703e8 | + | 4.89410e7i | −1.13043 | + | 0.170385i | ||||
\(262\) | 1.60717e7 | + | 7.04146e7i | 0.0552086 | + | 0.241885i | ||||
\(263\) | 1.93577e8 | − | 1.31979e8i | 0.656159 | − | 0.447361i | −0.188928 | − | 0.981991i | \(-0.560501\pi\) |
0.845087 | + | 0.534630i | \(0.179549\pi\) | |||||||
\(264\) | −2.12360e7 | + | 3.67818e7i | −0.0710328 | + | 0.123032i | ||||
\(265\) | 2.94018e7 | + | 5.09254e7i | 0.0970539 | + | 0.168102i | ||||
\(266\) | 2.78291e8 | + | 1.34018e8i | 0.906595 | + | 0.436593i | ||||
\(267\) | 3.47192e7 | − | 1.07095e7i | 0.111630 | − | 0.0344333i | ||||
\(268\) | 7.11943e6 | − | 9.50021e7i | 0.0225930 | − | 0.301482i | ||||
\(269\) | −2.00797e7 | + | 8.79750e7i | −0.0628962 | + | 0.275566i | −0.996591 | − | 0.0825044i | \(-0.973708\pi\) |
0.933694 | + | 0.358071i | \(0.116565\pi\) | |||||||
\(270\) | −7.22327e7 | − | 1.84046e8i | −0.223337 | − | 0.569053i | ||||
\(271\) | −1.21791e7 | − | 1.62519e8i | −0.0371727 | − | 0.496035i | −0.984455 | − | 0.175636i | \(-0.943802\pi\) |
0.947283 | − | 0.320399i | \(-0.103817\pi\) | |||||||
\(272\) | −2.69431e8 | − | 4.06101e7i | −0.811812 | − | 0.122361i | ||||
\(273\) | −4.00687e7 | + | 3.71783e7i | −0.119189 | + | 0.110591i | ||||
\(274\) | −2.61060e8 | + | 1.25720e8i | −0.766677 | + | 0.369212i | ||||
\(275\) | −5.09786e8 | − | 3.47566e8i | −1.47817 | − | 1.00780i | ||||
\(276\) | 7.39896e6 | − | 1.88522e7i | 0.0211831 | − | 0.0539736i | ||||
\(277\) | −2.97260e8 | − | 9.16926e7i | −0.840345 | − | 0.259212i | −0.155441 | − | 0.987845i | \(-0.549680\pi\) |
−0.684904 | + | 0.728633i | \(0.740156\pi\) | |||||||
\(278\) | 1.28906e8 | + | 1.19607e8i | 0.359845 | + | 0.333887i | ||||
\(279\) | −1.78018e8 | − | 2.23227e8i | −0.490737 | − | 0.615365i | ||||
\(280\) | 3.78072e8 | + | 4.74088e8i | 1.02925 | + | 1.29064i | ||||
\(281\) | 5.87532e7 | + | 5.45150e7i | 0.157965 | + | 0.146570i | 0.755195 | − | 0.655500i | \(-0.227542\pi\) |
−0.597231 | + | 0.802069i | \(0.703732\pi\) | |||||||
\(282\) | 2.98982e7 | + | 9.22237e6i | 0.0793913 | + | 0.0244890i | ||||
\(283\) | 1.68469e8 | − | 4.29251e8i | 0.441842 | − | 1.12579i | −0.520478 | − | 0.853875i | \(-0.674246\pi\) |
0.962320 | − | 0.271919i | \(-0.0876584\pi\) | |||||||
\(284\) | 1.13253e8 | + | 7.72145e7i | 0.293383 | + | 0.200025i | ||||
\(285\) | 2.13368e8 | − | 1.02752e8i | 0.545973 | − | 0.262927i | ||||
\(286\) | 1.60729e8 | − | 1.49135e8i | 0.406268 | − | 0.376962i | ||||
\(287\) | 2.01319e8 | + | 3.03440e7i | 0.502688 | + | 0.0757680i | ||||
\(288\) | 1.88449e7 | + | 2.51468e8i | 0.0464858 | + | 0.620310i | ||||
\(289\) | 1.92691e8 | + | 4.90968e8i | 0.469590 | + | 1.19650i | ||||
\(290\) | −1.72434e8 | + | 7.55484e8i | −0.415175 | + | 1.81900i | ||||
\(291\) | −1.00443e7 | + | 1.34031e8i | −0.0238942 | + | 0.318846i | ||||
\(292\) | −2.18625e8 | + | 6.74369e7i | −0.513878 | + | 0.158510i | ||||
\(293\) | −4.42110e7 | − | 2.12909e7i | −0.102682 | − | 0.0494490i | 0.381838 | − | 0.924229i | \(-0.375291\pi\) |
−0.484520 | + | 0.874780i | \(0.661006\pi\) | |||||||
\(294\) | 1.34787e7 | + | 2.33457e7i | 0.0309336 | + | 0.0535786i | ||||
\(295\) | −5.03745e7 | + | 8.72511e7i | −0.114244 | + | 0.197876i | ||||
\(296\) | 4.10216e8 | − | 2.79681e8i | 0.919374 | − | 0.626818i | ||||
\(297\) | 2.57031e7 | + | 1.12612e8i | 0.0569295 | + | 0.249424i | ||||
\(298\) | 1.70570e8 | − | 2.57092e7i | 0.373375 | − | 0.0562772i | ||||
\(299\) | −2.56467e8 | + | 3.21600e8i | −0.554860 | + | 0.695772i | ||||
\(300\) | 8.64637e7 | 0.184888 | ||||||||
\(301\) | −3.38617e8 | − | 1.53130e8i | −0.715691 | − | 0.323652i | ||||
\(302\) | 3.50913e7 | 0.0733121 | ||||||||
\(303\) | 1.81790e7 | − | 2.27957e7i | 0.0375422 | − | 0.0470764i | ||||
\(304\) | 4.15048e8 | − | 6.25585e7i | 0.847308 | − | 0.127711i | ||||
\(305\) | 9.56200e6 | + | 4.18938e7i | 0.0192974 | + | 0.0845475i | ||||
\(306\) | −4.88182e8 | + | 3.32837e8i | −0.973996 | + | 0.664059i | ||||
\(307\) | −3.84803e7 | + | 6.66498e7i | −0.0759021 | + | 0.131466i | −0.901478 | − | 0.432824i | \(-0.857517\pi\) |
0.825576 | + | 0.564291i | \(0.190850\pi\) | |||||||
\(308\) | −4.50215e7 | − | 7.79796e7i | −0.0877996 | − | 0.152073i | ||||
\(309\) | −1.71687e8 | − | 8.26800e7i | −0.331041 | − | 0.159421i | ||||
\(310\) | −6.43854e8 | + | 1.98603e8i | −1.22750 | + | 0.378633i | ||||
\(311\) | 2.42024e7 | − | 3.22958e8i | 0.0456243 | − | 0.608814i | −0.926794 | − | 0.375570i | \(-0.877447\pi\) |
0.972418 | − | 0.233244i | \(-0.0749341\pi\) | |||||||
\(312\) | −2.69002e7 | + | 1.17857e8i | −0.0501435 | + | 0.219693i | ||||
\(313\) | 1.75495e7 | + | 4.47153e7i | 0.0323488 | + | 0.0824235i | 0.946135 | − | 0.323771i | \(-0.104951\pi\) |
−0.913787 | + | 0.406195i | \(0.866856\pi\) | |||||||
\(314\) | −1.43019e7 | − | 1.90846e8i | −0.0260699 | − | 0.347879i | ||||
\(315\) | 7.98899e8 | + | 1.20415e8i | 1.44014 | + | 0.217066i | ||||
\(316\) | 4.65954e7 | − | 4.32342e7i | 0.0830688 | − | 0.0770766i | ||||
\(317\) | −5.79239e8 | + | 2.78947e8i | −1.02129 | + | 0.491829i | −0.868111 | − | 0.496370i | \(-0.834666\pi\) |
−0.153181 | + | 0.988198i | \(0.548952\pi\) | |||||||
\(318\) | −7.69443e6 | − | 5.24597e6i | −0.0134178 | − | 0.00914810i | ||||
\(319\) | 1.65398e8 | − | 4.21427e8i | 0.285274 | − | 0.726867i | ||||
\(320\) | 1.15593e9 | + | 3.56556e8i | 1.97199 | + | 0.608279i | ||||
\(321\) | −2.38288e6 | − | 2.21099e6i | −0.00402100 | − | 0.00373094i | ||||
\(322\) | −2.03732e8 | − | 2.55472e8i | −0.340067 | − | 0.426431i | ||||
\(323\) | −9.00691e8 | − | 1.12943e9i | −1.48719 | − | 1.86488i | ||||
\(324\) | 1.35024e8 | + | 1.25284e8i | 0.220548 | + | 0.204639i | ||||
\(325\) | −1.67814e9 | − | 5.17638e8i | −2.71167 | − | 0.836439i | ||||
\(326\) | −3.57013e8 | + | 9.09655e8i | −0.570719 | + | 1.45417i | ||||
\(327\) | 1.13689e7 | + | 7.75120e6i | 0.0179805 | + | 0.0122589i | ||||
\(328\) | 4.05683e8 | − | 1.95367e8i | 0.634788 | − | 0.305698i | ||||
\(329\) | −1.91310e8 | + | 1.77510e8i | −0.296177 | + | 0.274812i | ||||
\(330\) | 1.32050e8 | + | 1.99033e7i | 0.202274 | + | 0.0304879i | ||||
\(331\) | 7.16134e7 | + | 9.55614e8i | 0.108542 | + | 1.44839i | 0.739807 | + | 0.672820i | \(0.234917\pi\) |
−0.631265 | + | 0.775567i | \(0.717464\pi\) | |||||||
\(332\) | 5.70884e7 | + | 1.45459e8i | 0.0856179 | + | 0.218151i | ||||
\(333\) | 1.47198e8 | − | 6.44918e8i | 0.218448 | − | 0.957083i | ||||
\(334\) | −5.82462e7 | + | 7.77241e8i | −0.0855372 | + | 1.14141i | ||||
\(335\) | −1.12616e9 | + | 3.47375e8i | −1.63661 | + | 0.504826i | ||||
\(336\) | −5.31613e7 | − | 2.56011e7i | −0.0764554 | − | 0.0368190i | ||||
\(337\) | 4.80829e8 | + | 8.32820e8i | 0.684362 | + | 1.18535i | 0.973637 | + | 0.228104i | \(0.0732526\pi\) |
−0.289274 | + | 0.957246i | \(0.593414\pi\) | |||||||
\(338\) | 2.38431e7 | − | 4.12975e7i | 0.0335857 | − | 0.0581722i | ||||
\(339\) | −1.73163e8 | + | 1.18061e8i | −0.241410 | + | 0.164591i | ||||
\(340\) | −1.60398e8 | − | 7.02750e8i | −0.221321 | − | 0.969672i | ||||
\(341\) | 3.89246e8 | − | 5.86694e7i | 0.531598 | − | 0.0801256i | ||||
\(342\) | 5.67489e8 | − | 7.11609e8i | 0.767125 | − | 0.961945i | ||||
\(343\) | −8.11882e8 | −1.08633 | ||||||||
\(344\) | −8.09548e8 | + | 1.42048e8i | −1.07223 | + | 0.188140i | ||||
\(345\) | −2.50530e8 | −0.328468 | ||||||||
\(346\) | −2.96727e8 | + | 3.72084e8i | −0.385115 | + | 0.482919i | ||||
\(347\) | 1.19269e9 | − | 1.79770e8i | 1.53241 | − | 0.230974i | 0.671992 | − | 0.740558i | \(-0.265439\pi\) |
0.860421 | + | 0.509584i | \(0.170201\pi\) | |||||||
\(348\) | 1.41174e7 | + | 6.18522e7i | 0.0179567 | + | 0.0786734i | ||||
\(349\) | 2.12735e8 | − | 1.45040e8i | 0.267886 | − | 0.182642i | −0.421925 | − | 0.906631i | \(-0.638646\pi\) |
0.689812 | + | 0.723989i | \(0.257693\pi\) | |||||||
\(350\) | 6.97529e8 | − | 1.20816e9i | 0.869609 | − | 1.50621i | ||||
\(351\) | 1.64386e8 | + | 2.84726e8i | 0.202904 | + | 0.351440i | ||||
\(352\) | −3.13239e8 | − | 1.50848e8i | −0.382804 | − | 0.184349i | ||||
\(353\) | 6.24930e8 | − | 1.92765e8i | 0.756170 | − | 0.233248i | 0.107383 | − | 0.994218i | \(-0.465753\pi\) |
0.648787 | + | 0.760970i | \(0.275277\pi\) | |||||||
\(354\) | 1.19235e6 | − | 1.59108e7i | 0.00142854 | − | 0.0190625i | ||||
\(355\) | 3.77314e8 | − | 1.65312e9i | 0.447613 | − | 1.96112i | ||||
\(356\) | 6.22396e7 | + | 1.58584e8i | 0.0731125 | + | 0.186288i | ||||
\(357\) | 1.51758e7 | + | 2.02507e8i | 0.0176527 | + | 0.235559i | ||||
\(358\) | 2.54542e8 | + | 3.83660e7i | 0.293203 | + | 0.0441932i | ||||
\(359\) | 3.11042e8 | − | 2.88605e8i | 0.354804 | − | 0.329210i | −0.482553 | − | 0.875867i | \(-0.660290\pi\) |
0.837357 | + | 0.546657i | \(0.184100\pi\) | |||||||
\(360\) | 1.60988e9 | − | 7.75279e8i | 1.81859 | − | 0.875788i | ||||
\(361\) | 1.10012e9 | + | 7.50049e8i | 1.23074 | + | 0.839101i | ||||
\(362\) | 1.85533e8 | − | 4.72730e8i | 0.205561 | − | 0.523761i | ||||
\(363\) | 9.86878e7 | + | 3.04411e7i | 0.108290 | + | 0.0334032i | ||||
\(364\) | −1.87874e8 | − | 1.74322e8i | −0.204179 | − | 0.189451i | ||||
\(365\) | 1.76463e9 | + | 2.21277e9i | 1.89945 | + | 2.38184i | ||||
\(366\) | −4.24301e6 | − | 5.32057e6i | −0.00452366 | − | 0.00567250i | ||||
\(367\) | −5.60536e8 | − | 5.20101e8i | −0.591932 | − | 0.549233i | 0.326304 | − | 0.945265i | \(-0.394197\pi\) |
−0.918237 | + | 0.396032i | \(0.870387\pi\) | |||||||
\(368\) | −4.24309e8 | − | 1.30882e8i | −0.443828 | − | 0.136903i | ||||
\(369\) | 2.19180e8 | − | 5.58461e8i | 0.227095 | − | 0.578629i | ||||
\(370\) | −1.28981e9 | − | 8.79380e8i | −1.32380 | − | 0.902549i | ||||
\(371\) | 6.99845e7 | − | 3.37028e7i | 0.0711530 | − | 0.0342655i | ||||
\(372\) | −4.04378e7 | + | 3.75208e7i | −0.0407275 | + | 0.0377896i | ||||
\(373\) | 1.41287e9 | + | 2.12956e8i | 1.40969 | + | 0.212476i | 0.809375 | − | 0.587292i | \(-0.199806\pi\) |
0.600310 | + | 0.799768i | \(0.295044\pi\) | |||||||
\(374\) | −6.08751e7 | − | 8.12322e8i | −0.0601713 | − | 0.802930i | ||||
\(375\) | −2.47482e8 | − | 6.30573e8i | −0.242345 | − | 0.617484i | ||||
\(376\) | −1.28436e8 | + | 5.62716e8i | −0.124604 | + | 0.545924i | ||||
\(377\) | 9.62962e7 | − | 1.28498e9i | 0.0925581 | − | 1.23510i | ||||
\(378\) | −2.49567e8 | + | 7.69813e7i | −0.237666 | + | 0.0733102i | ||||
\(379\) | −1.72569e9 | − | 8.31047e8i | −1.62826 | − | 0.784131i | −0.999981 | − | 0.00614547i | \(-0.998044\pi\) |
−0.628283 | − | 0.777985i | \(-0.716242\pi\) | |||||||
\(380\) | 5.55201e8 | + | 9.61637e8i | 0.519049 | + | 0.899018i | ||||
\(381\) | −1.36044e8 | + | 2.35635e8i | −0.126021 | + | 0.218274i | ||||
\(382\) | 1.58876e7 | − | 1.08320e7i | 0.0145827 | − | 0.00994229i | ||||
\(383\) | 1.41362e7 | + | 6.19347e7i | 0.0128569 | + | 0.0563298i | 0.980949 | − | 0.194263i | \(-0.0622316\pi\) |
−0.968093 | + | 0.250593i | \(0.919374\pi\) | |||||||
\(384\) | −4.80643e7 | + | 7.24452e6i | −0.0433175 | + | 0.00652906i | ||||
\(385\) | −6.94492e8 | + | 8.70866e8i | −0.620233 | + | 0.777747i | ||||
\(386\) | 7.16636e8 | 0.634225 | ||||||||
\(387\) | −6.61952e8 | + | 8.72383e8i | −0.580548 | + | 0.765101i | ||||
\(388\) | −6.30209e8 | −0.547739 | ||||||||
\(389\) | 7.12625e7 | − | 8.93604e7i | 0.0613815 | − | 0.0769700i | −0.750193 | − | 0.661219i | \(-0.770039\pi\) |
0.811574 | + | 0.584249i | \(0.198611\pi\) | |||||||
\(390\) | 3.75855e8 | − | 5.66510e7i | 0.320844 | − | 0.0483595i | ||||
\(391\) | 3.40063e8 | + | 1.48991e9i | 0.287700 | + | 1.26050i | ||||
\(392\) | −4.10883e8 | + | 2.80135e8i | −0.344522 | + | 0.234891i | ||||
\(393\) | 3.65745e7 | − | 6.33489e7i | 0.0303952 | − | 0.0526460i | ||||
\(394\) | 1.45869e8 | + | 2.52653e8i | 0.120151 | + | 0.208108i | ||||
\(395\) | −7.08444e8 | − | 3.41169e8i | −0.578383 | − | 0.278535i | ||||
\(396\) | −2.53544e8 | + | 7.82079e7i | −0.205173 | + | 0.0632874i | ||||
\(397\) | −5.41045e7 | + | 7.21975e8i | −0.0433977 | + | 0.579102i | 0.932542 | + | 0.361062i | \(0.117586\pi\) |
−0.975940 | + | 0.218041i | \(0.930033\pi\) | |||||||
\(398\) | −3.75132e8 | + | 1.64356e9i | −0.298259 | + | 1.30676i | ||||
\(399\) | −1.14289e8 | − | 2.91205e8i | −0.0900742 | − | 0.229505i | ||||
\(400\) | −1.41669e8 | − | 1.89044e9i | −0.110679 | − | 1.47691i | ||||
\(401\) | −2.08278e8 | − | 3.13929e7i | −0.161302 | − | 0.0243123i | 0.0678949 | − | 0.997692i | \(-0.478372\pi\) |
−0.229197 | + | 0.973380i | \(0.573610\pi\) | |||||||
\(402\) | 1.36817e8 | − | 1.26947e8i | 0.105038 | − | 0.0974614i | ||||
\(403\) | 1.00947e9 | − | 4.86136e8i | 0.768292 | − | 0.369990i | ||||
\(404\) | 1.12955e8 | + | 7.70117e7i | 0.0852261 | + | 0.0581062i | ||||
\(405\) | 8.32460e8 | − | 2.12107e9i | 0.622688 | − | 1.58658i | ||||
\(406\) | 9.78150e8 | + | 3.01719e8i | 0.725378 | + | 0.223749i | ||||
\(407\) | 6.68551e8 | + | 6.20325e8i | 0.491535 | + | 0.456078i | ||||
\(408\) | 2.80026e8 | + | 3.51142e8i | 0.204121 | + | 0.255960i | ||||
\(409\) | 4.21918e8 | + | 5.29069e8i | 0.304928 | + | 0.382367i | 0.910560 | − | 0.413378i | \(-0.135651\pi\) |
−0.605632 | + | 0.795745i | \(0.707080\pi\) | |||||||
\(410\) | −1.03783e9 | − | 9.62965e8i | −0.743674 | − | 0.690028i | ||||
\(411\) | 2.80422e8 | + | 8.64986e7i | 0.199235 | + | 0.0614558i | ||||
\(412\) | 3.26428e8 | − | 8.31725e8i | 0.229957 | − | 0.585922i | ||||
\(413\) | 1.09960e8 | + | 7.49695e7i | 0.0768085 | + | 0.0523672i | ||||
\(414\) | −8.67520e8 | + | 4.17776e8i | −0.600867 | + | 0.289362i | ||||
\(415\) | 1.41701e9 | − | 1.31479e9i | 0.973204 | − | 0.903001i | ||||
\(416\) | −9.78521e8 | − | 1.47488e8i | −0.666413 | − | 0.100446i | ||||
\(417\) | −1.33092e7 | − | 1.77599e8i | −0.00898824 | − | 0.119940i | ||||
\(418\) | 4.58453e8 | + | 1.16812e9i | 0.307028 | + | 0.782294i | ||||
\(419\) | 3.74925e7 | − | 1.64265e8i | 0.0248998 | − | 0.109093i | −0.960951 | − | 0.276719i | \(-0.910753\pi\) |
0.985851 | + | 0.167626i | \(0.0536100\pi\) | |||||||
\(420\) | 1.16650e7 | − | 1.55659e8i | 0.00768267 | − | 0.102518i | ||||
\(421\) | −1.63198e9 | + | 5.03399e8i | −1.06593 | + | 0.328795i | −0.777615 | − | 0.628741i | \(-0.783571\pi\) |
−0.288313 | + | 0.957536i | \(0.593094\pi\) | |||||||
\(422\) | −1.51644e9 | − | 7.30277e8i | −0.982269 | − | 0.473036i | ||||
\(423\) | 3.84514e8 | + | 6.65997e8i | 0.247013 | + | 0.427840i | ||||
\(424\) | 8.58967e7 | − | 1.48777e8i | 0.0547263 | − | 0.0947887i | ||||
\(425\) | −5.39082e9 | + | 3.67540e9i | −3.40638 | + | 2.32243i | ||||
\(426\) | 5.97543e7 | + | 2.61801e8i | 0.0374486 | + | 0.164073i | ||||
\(427\) | 5.61291e7 | − | 8.46011e6i | 0.0348892 | − | 0.00525870i | ||||
\(428\) | 9.50295e6 | − | 1.19163e7i | 0.00585875 | − | 0.00734664i | ||||
\(429\) | −2.22063e8 | −0.135793 | ||||||||
\(430\) | 1.34570e9 | + | 2.20628e9i | 0.816221 | + | 1.33820i | ||||
\(431\) | 1.00831e9 | 0.606631 | 0.303315 | − | 0.952890i | \(-0.401906\pi\) | ||||
0.303315 | + | 0.952890i | \(0.401906\pi\) | |||||||
\(432\) | −2.21279e8 | + | 2.77475e8i | −0.132053 | + | 0.165589i | ||||
\(433\) | −1.35996e8 | + | 2.04980e7i | −0.0805039 | + | 0.0121340i | −0.189171 | − | 0.981944i | \(-0.560580\pi\) |
0.108667 | + | 0.994078i | \(0.465342\pi\) | |||||||
\(434\) | 1.98054e8 | + | 8.67730e8i | 0.116297 | + | 0.509531i | ||||
\(435\) | 6.48450e8 | − | 4.42106e8i | 0.377715 | − | 0.257522i | ||||
\(436\) | −3.22586e7 | + | 5.58735e7i | −0.0186399 | + | 0.0322852i | ||||
\(437\) | −1.17709e9 | − | 2.03878e9i | −0.674722 | − | 1.16865i | ||||
\(438\) | −4.03832e8 | − | 1.94475e8i | −0.229637 | − | 0.110587i | ||||
\(439\) | −8.06287e8 | + | 2.48707e8i | −0.454845 | + | 0.140301i | −0.513708 | − | 0.857965i | \(-0.671729\pi\) |
0.0588631 | + | 0.998266i | \(0.481252\pi\) | |||||||
\(440\) | −1.84097e8 | + | 2.45661e9i | −0.103030 | + | 1.37484i | ||||
\(441\) | −1.47438e8 | + | 6.45966e8i | −0.0818603 | + | 0.358653i | ||||
\(442\) | −8.47081e8 | − | 2.15833e9i | −0.466602 | − | 1.18888i | ||||
\(443\) | 2.31360e8 | + | 3.08728e9i | 0.126437 | + | 1.68719i | 0.594974 | + | 0.803745i | \(0.297162\pi\) |
−0.468537 | + | 0.883444i | \(0.655219\pi\) | |||||||
\(444\) | −1.26379e8 | − | 1.90485e7i | −0.0685225 | − | 0.0103281i | ||||
\(445\) | 1.54487e9 | − | 1.43343e9i | 0.831057 | − | 0.771108i | ||||
\(446\) | −1.54581e9 | + | 7.44421e8i | −0.825055 | + | 0.397325i | ||||
\(447\) | −1.44346e8 | − | 9.84131e7i | −0.0764411 | − | 0.0521167i | ||||
\(448\) | 5.83785e8 | − | 1.48746e9i | 0.306747 | − | 0.781578i | ||||
\(449\) | 1.40707e9 | + | 4.34022e8i | 0.733588 | + | 0.226282i | 0.638970 | − | 0.769232i | \(-0.279361\pi\) |
0.0946180 | + | 0.995514i | \(0.469837\pi\) | |||||||
\(450\) | −3.01346e9 | − | 2.79609e9i | −1.55891 | − | 1.44646i | ||||
\(451\) | 5.15702e8 | + | 6.46670e8i | 0.264717 | + | 0.331944i | ||||
\(452\) | −6.12690e8 | − | 7.68289e8i | −0.312073 | − | 0.391327i | ||||
\(453\) | −2.60527e7 | − | 2.41734e7i | −0.0131677 | − | 0.0122178i | ||||
\(454\) | −6.95848e8 | − | 2.14641e8i | −0.348995 | − | 0.107651i | ||||
\(455\) | −1.15829e9 | + | 2.95128e9i | −0.576473 | + | 1.46883i | ||||
\(456\) | −5.71646e8 | − | 3.89742e8i | −0.282326 | − | 0.192486i | ||||
\(457\) | −6.98659e8 | + | 3.36456e8i | −0.342420 | + | 0.164901i | −0.597188 | − | 0.802102i | \(-0.703715\pi\) |
0.254768 | + | 0.967002i | \(0.418001\pi\) | |||||||
\(458\) | 1.22915e9 | − | 1.14048e9i | 0.597825 | − | 0.554701i | ||||
\(459\) | 1.20782e9 | + | 1.82050e8i | 0.582987 | + | 0.0878711i | ||||
\(460\) | −8.77844e7 | − | 1.17140e9i | −0.0420499 | − | 0.561117i | ||||
\(461\) | 8.96275e8 | + | 2.28367e9i | 0.426077 | + | 1.08563i | 0.969266 | + | 0.246016i | \(0.0791216\pi\) |
−0.543189 | + | 0.839611i | \(0.682783\pi\) | |||||||
\(462\) | 3.92533e7 | − | 1.71980e8i | 0.0185195 | − | 0.0811392i | ||||
\(463\) | 4.82445e7 | − | 6.43779e8i | 0.0225899 | − | 0.301442i | −0.974453 | − | 0.224592i | \(-0.927895\pi\) |
0.997043 | − | 0.0768492i | \(-0.0244860\pi\) | |||||||
\(464\) | 1.32921e9 | − | 4.10006e8i | 0.617703 | − | 0.190536i | ||||
\(465\) | 6.14824e8 | + | 2.96084e8i | 0.283573 | + | 0.136562i | ||||
\(466\) | 2.40534e8 | + | 4.16617e8i | 0.110110 | + | 0.190716i | ||||
\(467\) | −5.16866e8 | + | 8.95238e8i | −0.234838 | + | 0.406752i | −0.959226 | − | 0.282641i | \(-0.908789\pi\) |
0.724387 | + | 0.689393i | \(0.242123\pi\) | |||||||
\(468\) | −6.23989e8 | + | 4.25428e8i | −0.281395 | + | 0.191852i | ||||
\(469\) | 3.46415e8 | + | 1.51774e9i | 0.155057 | + | 0.679350i | ||||
\(470\) | 1.79454e9 | − | 2.70483e8i | 0.797279 | − | 0.120171i | ||||
\(471\) | −1.20850e8 | + | 1.51541e8i | −0.0532933 | + | 0.0668276i | ||||
\(472\) | 2.94336e8 | 0.128839 | ||||||||
\(473\) | −5.85297e8 | − | 1.39174e9i | −0.254309 | − | 0.604704i | ||||
\(474\) | 1.24527e8 | 0.0537080 | ||||||||
\(475\) | 6.26658e9 | − | 7.85805e9i | 2.68289 | − | 3.36424i | ||||
\(476\) | −9.41541e8 | + | 1.41914e8i | −0.400143 | + | 0.0603118i | ||||
\(477\) | −5.09333e7 | − | 2.23154e8i | −0.0214876 | − | 0.0941433i | ||||
\(478\) | −9.15258e8 | + | 6.24013e8i | −0.383306 | + | 0.261334i | ||||
\(479\) | 1.81717e9 | − | 3.14743e9i | 0.755478 | − | 1.30853i | −0.189659 | − | 0.981850i | \(-0.560738\pi\) |
0.945136 | − | 0.326676i | \(-0.105929\pi\) | |||||||
\(480\) | −3.01353e8 | − | 5.21959e8i | −0.124374 | − | 0.215423i | ||||
\(481\) | 2.33879e9 | + | 1.12630e9i | 0.958262 | + | 0.461474i | ||||
\(482\) | −2.85713e9 | + | 8.81308e8i | −1.16216 | + | 0.358478i | ||||
\(483\) | −2.47311e7 | + | 3.30014e8i | −0.00998687 | + | 0.133265i | ||||
\(484\) | −1.07754e8 | + | 4.72100e8i | −0.0431990 | + | 0.189267i | ||||
\(485\) | 2.84820e9 | + | 7.25710e9i | 1.13364 | + | 2.88846i | ||||
\(486\) | 8.68485e7 | + | 1.15891e9i | 0.0343191 | + | 0.457956i | ||||
\(487\) | 5.12901e7 | + | 7.73074e6i | 0.0201225 | + | 0.00303298i | 0.159096 | − | 0.987263i | \(-0.449142\pi\) |
−0.138973 | + | 0.990296i | \(0.544380\pi\) | |||||||
\(488\) | 9.20270e7 | − | 8.53886e7i | 0.0358464 | − | 0.0332606i | ||||
\(489\) | 8.91689e8 | − | 4.29415e8i | 0.344852 | − | 0.166072i | ||||
\(490\) | 1.29191e9 | + | 8.80809e8i | 0.496073 | + | 0.338217i | ||||
\(491\) | 1.74226e9 | − | 4.43920e9i | 0.664243 | − | 1.69246i | −0.0557173 | − | 0.998447i | \(-0.517745\pi\) |
0.719960 | − | 0.694016i | \(-0.244160\pi\) | |||||||
\(492\) | −1.10761e8 | − | 3.41651e7i | −0.0419283 | − | 0.0129332i | ||||
\(493\) | −3.50940e9 | − | 3.25625e9i | −1.31907 | − | 1.22392i | ||||
\(494\) | 2.22694e9 | + | 2.79249e9i | 0.831119 | + | 1.04219i | ||||
\(495\) | 2.04647e9 | + | 2.56620e9i | 0.758382 | + | 0.950981i | ||||
\(496\) | 8.86613e8 | + | 8.22657e8i | 0.326248 | + | 0.302714i | ||||
\(497\) | −2.14035e9 | − | 6.60209e8i | −0.782054 | − | 0.241232i | ||||
\(498\) | −1.11842e8 | + | 2.84968e8i | −0.0405789 | + | 0.103393i | ||||
\(499\) | −1.70179e9 | − | 1.16026e9i | −0.613133 | − | 0.418027i | 0.216543 | − | 0.976273i | \(-0.430522\pi\) |
−0.829675 | + | 0.558246i | \(0.811474\pi\) | |||||||
\(500\) | 2.86165e9 | − | 1.37810e9i | 1.02381 | − | 0.493043i | ||||
\(501\) | 5.78661e8 | − | 5.36919e8i | 0.205585 | − | 0.190755i | ||||
\(502\) | −1.36758e9 | − | 2.06129e8i | −0.482490 | − | 0.0727237i | ||||
\(503\) | 9.30200e7 | + | 1.24127e9i | 0.0325903 | + | 0.434887i | 0.989503 | + | 0.144512i | \(0.0461612\pi\) |
−0.956913 | + | 0.290376i | \(0.906220\pi\) | |||||||
\(504\) | −8.62326e8 | − | 2.19717e9i | −0.300030 | − | 0.764464i | ||||
\(505\) | 3.76323e8 | − | 1.64878e9i | 0.130029 | − | 0.569695i | ||||
\(506\) | 9.92049e7 | − | 1.32380e9i | 0.0340413 | − | 0.454250i | ||||
\(507\) | −4.61503e7 | + | 1.42355e7i | −0.0157270 | + | 0.00485115i | ||||
\(508\) | −1.14943e9 | − | 5.53535e8i | −0.389008 | − | 0.187336i | ||||
\(509\) | −1.31085e9 | − | 2.27045e9i | −0.440595 | − | 0.763133i | 0.557139 | − | 0.830419i | \(-0.311899\pi\) |
−0.997734 | + | 0.0672866i | \(0.978566\pi\) | |||||||
\(510\) | 7.06079e8 | − | 1.22297e9i | 0.235699 | − | 0.408243i | ||||
\(511\) | 3.08900e9 | − | 2.10605e9i | 1.02411 | − | 0.698224i | ||||
\(512\) | −6.37230e8 | − | 2.79189e9i | −0.209822 | − | 0.919291i | ||||
\(513\) | −1.86061e9 | + | 2.80442e8i | −0.608477 | + | 0.0917132i | ||||
\(514\) | 6.90244e8 | − | 8.65538e8i | 0.224198 | − | 0.281135i | ||||
\(515\) | −1.10529e10 | −3.56576 | ||||||||
\(516\) | 1.77635e8 | + | 1.14939e8i | 0.0569187 | + | 0.0368294i | ||||
\(517\) | −1.06025e9 | −0.337437 | ||||||||
\(518\) | −1.28570e9 | + | 1.61222e9i | −0.406430 | + | 0.509647i | ||||
\(519\) | 4.76615e8 | − | 7.18381e7i | 0.149652 | − | 0.0225564i | ||||
\(520\) | 1.56029e9 | + | 6.83608e9i | 0.486624 | + | 2.13204i | ||||
\(521\) | −6.41514e8 | + | 4.37377e8i | −0.198735 | + | 0.135495i | −0.658599 | − | 0.752494i | \(-0.728851\pi\) |
0.459864 | + | 0.887989i | \(0.347898\pi\) | |||||||
\(522\) | 1.50817e9 | − | 2.61223e9i | 0.464092 | − | 0.803830i | ||||
\(523\) | −6.09226e7 | − | 1.05521e8i | −0.0186218 | − | 0.0322540i | 0.856564 | − | 0.516040i | \(-0.172595\pi\) |
−0.875186 | + | 0.483786i | \(0.839261\pi\) | |||||||
\(524\) | 3.09015e8 | + | 1.48814e8i | 0.0938254 | + | 0.0451840i | ||||
\(525\) | −1.35013e9 | + | 4.16458e8i | −0.407208 | + | 0.125607i | ||||
\(526\) | −1.60828e8 | + | 2.14610e9i | −0.0481849 | + | 0.642982i | ||||
\(527\) | 9.26275e8 | − | 4.05828e9i | 0.275678 | − | 1.20783i | ||||
\(528\) | −8.75772e7 | − | 2.23143e8i | −0.0258924 | − | 0.0659727i | ||||
\(529\) | −6.83299e7 | − | 9.11799e8i | −0.0200685 | − | 0.267796i | ||||
\(530\) | −5.34124e8 | − | 8.05063e7i | −0.155839 | − | 0.0234890i | ||||
\(531\) | 2.87477e8 | − | 2.66739e8i | 0.0833244 | − | 0.0773137i | ||||
\(532\) | 1.32154e9 | − | 6.36418e8i | 0.380530 | − | 0.183253i | ||||
\(533\) | 1.94517e9 | + | 1.32619e9i | 0.556432 | + | 0.379369i | ||||
\(534\) | −1.21933e8 | + | 3.10680e8i | −0.0346519 | + | 0.0882916i | ||||
\(535\) | −1.80169e8 | − | 5.55748e7i | −0.0508677 | − | 0.0156906i | ||||
\(536\) | 2.52392e9 | + | 2.34185e9i | 0.707943 | + | 0.656875i | ||||
\(537\) | −1.62549e8 | − | 2.03830e8i | −0.0452975 | − | 0.0568012i | ||||
\(538\) | −5.16812e8 | − | 6.48062e8i | −0.143085 | − | 0.179423i | ||||
\(539\) | −6.69638e8 | − | 6.21333e8i | −0.184196 | − | 0.170909i | ||||
\(540\) | −8.97179e8 | − | 2.76743e8i | −0.245189 | − | 0.0756307i | ||||
\(541\) | −5.70769e8 | + | 1.45429e9i | −0.154978 | + | 0.394877i | −0.987183 | − | 0.159590i | \(-0.948983\pi\) |
0.832206 | + | 0.554467i | \(0.187078\pi\) | |||||||
\(542\) | 1.23692e9 | + | 8.43321e8i | 0.333692 | + | 0.227507i | ||||
\(543\) | −4.63394e8 | + | 2.23159e8i | −0.124208 | + | 0.0598156i | ||||
\(544\) | −2.69506e9 | + | 2.50065e9i | −0.717748 | + | 0.665973i | ||||
\(545\) | 7.89197e8 | + | 1.18952e8i | 0.208832 | + | 0.0314764i | ||||
\(546\) | −3.75217e7 | − | 5.00693e8i | −0.00986526 | − | 0.131643i | ||||
\(547\) | −7.57199e8 | − | 1.92931e9i | −0.197813 | − | 0.504019i | 0.797206 | − | 0.603707i | \(-0.206310\pi\) |
−0.995019 | + | 0.0996889i | \(0.968215\pi\) | |||||||
\(548\) | −3.06183e8 | + | 1.34147e9i | −0.0794783 | + | 0.348217i | ||||
\(549\) | 1.24997e7 | − | 1.66797e8i | 0.00322402 | − | 0.0430216i | ||||
\(550\) | 5.41580e9 | − | 1.67055e9i | 1.38801 | − | 0.428145i | ||||
\(551\) | 6.64447e9 | + | 3.19981e9i | 1.69211 | + | 0.814880i | ||||
\(552\) | 3.65960e8 | + | 6.33860e8i | 0.0926075 | + | 0.160401i | ||||
\(553\) | −5.19343e8 | + | 8.99529e8i | −0.130592 | + | 0.226192i | ||||
\(554\) | 2.36100e9 | − | 1.60970e9i | 0.589945 | − | 0.402217i | ||||
\(555\) | 3.51812e8 | + | 1.54139e9i | 0.0873544 | + | 0.382725i | ||||
\(556\) | 8.25733e8 | − | 1.24459e8i | 0.203741 | − | 0.0307090i | ||||
\(557\) | 4.03856e9 | − | 5.06420e9i | 0.990224 | − | 1.24170i | 0.0199229 | − | 0.999802i | \(-0.493658\pi\) |
0.970301 | − | 0.241900i | \(-0.0777706\pi\) | |||||||
\(558\) | 2.62271e9 | 0.639045 | ||||||||
\(559\) | −2.75954e9 | − | 3.29428e9i | −0.668183 | − | 0.797661i | ||||
\(560\) | −3.42244e9 | −0.823526 | ||||||||
\(561\) | −5.14389e8 | + | 6.45023e8i | −0.123005 | + | 0.154243i | ||||
\(562\) | −7.28007e8 | + | 1.09729e8i | −0.173005 | + | 0.0260763i | ||||
\(563\) | −3.57770e8 | − | 1.56749e9i | −0.0844936 | − | 0.370191i | 0.914949 | − | 0.403569i | \(-0.132231\pi\) |
−0.999443 | + | 0.0333784i | \(0.989373\pi\) | |||||||
\(564\) | 1.22763e8 | − | 8.36982e7i | 0.0288131 | − | 0.0196444i | ||||
\(565\) | −6.07812e9 | + | 1.05276e10i | −1.41775 | + | 2.45562i | ||||
\(566\) | 2.11791e9 | + | 3.66833e9i | 0.490964 | + | 0.850375i | ||||
\(567\) | −2.71184e9 | − | 1.30595e9i | −0.624773 | − | 0.300875i | ||||
\(568\) | −4.73367e9 | + | 1.46014e9i | −1.08387 | + | 0.334331i | ||||
\(569\) | 4.84063e7 | − | 6.45937e8i | 0.0110156 | − | 0.146993i | −0.988984 | − | 0.148023i | \(-0.952709\pi\) |
0.999999 | + | 0.00103028i | \(0.000327949\pi\) | |||||||
\(570\) | −4.84068e8 | + | 2.12084e9i | −0.109482 | + | 0.479674i | ||||
\(571\) | 1.05574e9 | + | 2.68997e9i | 0.237317 | + | 0.604674i | 0.999067 | − | 0.0431974i | \(-0.0137544\pi\) |
−0.761749 | + | 0.647872i | \(0.775659\pi\) | |||||||
\(572\) | −7.78098e7 | − | 1.03830e9i | −0.0173839 | − | 0.231973i | ||||
\(573\) | −1.92572e7 | − | 2.90255e6i | −0.00427614 | − | 0.000644524i | ||||
\(574\) | −1.37093e9 | + | 1.27204e9i | −0.302568 | + | 0.280742i | ||||
\(575\) | −9.57972e9 | + | 4.61335e9i | −2.10143 | + | 1.01200i | ||||
\(576\) | −3.89045e9 | − | 2.65246e9i | −0.848244 | − | 0.578323i | ||||
\(577\) | 2.08217e9 | − | 5.30529e9i | 0.451234 | − | 1.14972i | −0.506544 | − | 0.862214i | \(-0.669077\pi\) |
0.957777 | − | 0.287511i | \(-0.0928276\pi\) | |||||||
\(578\) | −4.62960e9 | − | 1.42804e9i | −0.997231 | − | 0.307605i | ||||
\(579\) | −5.32049e8 | − | 4.93669e8i | −0.113914 | − | 0.105697i | ||||
\(580\) | 2.29436e9 | + | 2.87704e9i | 0.488275 | + | 0.612277i | ||||
\(581\) | −1.59205e9 | − | 1.99636e9i | −0.336774 | − | 0.422302i | ||||
\(582\) | −9.05053e8 | − | 8.39767e8i | −0.190302 | − | 0.176575i | ||||
\(583\) | 3.01552e8 | + | 9.30166e7i | 0.0630265 | + | 0.0194411i | ||||
\(584\) | 3.02082e9 | − | 7.69694e9i | 0.627597 | − | 1.59909i | ||||
\(585\) | 7.71906e9 | + | 5.26277e9i | 1.59411 | + | 1.08685i | ||||
\(586\) | 4.06113e8 | − | 1.95574e8i | 0.0833692 | − | 0.0401485i | ||||
\(587\) | −2.56797e9 | + | 2.38273e9i | −0.524030 | + | 0.486229i | −0.897255 | − | 0.441512i | \(-0.854442\pi\) |
0.373225 | + | 0.927741i | \(0.378252\pi\) | |||||||
\(588\) | 1.26584e8 | + | 1.90795e7i | 0.0256778 | + | 0.00387031i | ||||
\(589\) | 4.79200e8 | + | 6.39448e9i | 0.0966302 | + | 1.28944i | ||||
\(590\) | −3.38108e8 | − | 8.61486e8i | −0.0677757 | − | 0.172690i | ||||
\(591\) | 6.57480e7 | − | 2.88061e8i | 0.0131017 | − | 0.0574022i | ||||
\(592\) | −2.09408e8 | + | 2.79435e9i | −0.0414827 | + | 0.553548i | ||||
\(593\) | −1.08434e9 | + | 3.34474e8i | −0.213537 | + | 0.0658674i | −0.399678 | − | 0.916656i | \(-0.630878\pi\) |
0.186141 | + | 0.982523i | \(0.440402\pi\) | |||||||
\(594\) | −9.55962e8 | − | 4.60367e8i | −0.187149 | − | 0.0901263i | ||||
\(595\) | 5.88946e9 | + | 1.02008e10i | 1.14621 | + | 1.98530i | ||||
\(596\) | 4.09571e8 | − | 7.09399e8i | 0.0792443 | − | 0.137255i | ||||
\(597\) | 1.41071e9 | − | 9.61803e8i | 0.271348 | − | 0.185002i | ||||
\(598\) | −8.40796e8 | − | 3.68377e9i | −0.160782 | − | 0.704430i | ||||
\(599\) | −7.74489e9 | + | 1.16735e9i | −1.47238 | + | 0.221926i | −0.835695 | − | 0.549194i | \(-0.814935\pi\) |
−0.636690 | + | 0.771120i | \(0.719697\pi\) | |||||||
\(600\) | −1.94829e9 | + | 2.44308e9i | −0.368235 | + | 0.461752i | ||||
\(601\) | −2.41170e9 | −0.453172 | −0.226586 | − | 0.973991i | \(-0.572756\pi\) | ||||
−0.226586 | + | 0.973991i | \(0.572756\pi\) | |||||||
\(602\) | 3.03909e9 | − | 1.55484e9i | 0.567748 | − | 0.290469i | ||||
\(603\) | 4.58738e9 | 0.852029 | ||||||||
\(604\) | 1.03898e8 | − | 1.30285e8i | 0.0191858 | − | 0.0240582i | ||||
\(605\) | 5.92340e9 | − | 8.92809e8i | 1.08750 | − | 0.163914i | ||||
\(606\) | 5.95974e7 | + | 2.61113e8i | 0.0108786 | + | 0.0476623i | ||||
\(607\) | 8.72077e9 | − | 5.94572e9i | 1.58268 | − | 1.07906i | 0.629357 | − | 0.777116i | \(-0.283318\pi\) |
0.953327 | − | 0.301939i | \(-0.0976340\pi\) | |||||||
\(608\) | 2.83175e9 | − | 4.90474e9i | 0.510967 | − | 0.885021i | ||||
\(609\) | −5.18358e8 | − | 8.97822e8i | −0.0929970 | − | 0.161076i | ||||
\(610\) | −3.55635e8 | − | 1.71265e8i | −0.0634381 | − | 0.0305502i | ||||
\(611\) | −2.88374e9 | + | 8.89515e8i | −0.511459 | + | 0.157764i | ||||
\(612\) | −2.09677e8 | + | 2.79795e9i | −0.0369762 | + | 0.493413i | ||||
\(613\) | −1.23432e9 | + | 5.40792e9i | −0.216430 | + | 0.948241i | 0.743662 | + | 0.668556i | \(0.233087\pi\) |
−0.960092 | + | 0.279685i | \(0.909770\pi\) | |||||||
\(614\) | −2.58276e8 | − | 6.58076e8i | −0.0450292 | − | 0.114733i | ||||
\(615\) | 1.07153e8 | + | 1.42986e9i | 0.0185756 | + | 0.247874i | ||||
\(616\) | 3.21783e9 | + | 4.85010e8i | 0.554665 | + | 0.0836023i | ||||
\(617\) | 3.65759e9 | − | 3.39375e9i | 0.626898 | − | 0.581676i | −0.301407 | − | 0.953495i | \(-0.597456\pi\) |
0.928305 | + | 0.371819i | \(0.121266\pi\) | |||||||
\(618\) | 1.57708e9 | − | 7.59482e8i | 0.268778 | − | 0.129437i | ||||
\(619\) | −8.05834e9 | − | 5.49408e9i | −1.36562 | − | 0.931061i | −1.00000 | 0.000294534i | \(-0.999906\pi\) | |
−0.365615 | − | 0.930766i | \(-0.619141\pi\) | |||||||
\(620\) | −1.16897e9 | + | 2.97847e9i | −0.196984 | + | 0.501907i | ||||
\(621\) | 1.90212e9 | + | 5.86727e8i | 0.318726 | + | 0.0983140i | ||||
\(622\) | 2.18079e9 | + | 2.02348e9i | 0.363369 | + | 0.337157i | ||||
\(623\) | −1.73570e9 | − | 2.17650e9i | −0.287585 | − | 0.360620i | ||||
\(624\) | −4.25406e8 | − | 5.33443e8i | −0.0700903 | − | 0.0878904i | ||||
\(625\) | −1.66005e10 | − | 1.54030e10i | −2.71983 | − | 2.52363i | ||||
\(626\) | −4.21644e8 | − | 1.30060e8i | −0.0686967 | − | 0.0211901i | ||||
\(627\) | 4.64315e8 | − | 1.18305e9i | 0.0752274 | − | 0.191676i | ||||
\(628\) | −7.50903e8 | − | 5.11957e8i | −0.120983 | − | 0.0824849i | ||||
\(629\) | 8.68914e9 | − | 4.18447e9i | 1.39219 | − | 0.670445i | ||||
\(630\) | −5.44029e9 | + | 5.04785e9i | −0.866822 | + | 0.804293i | ||||
\(631\) | 9.57463e8 | + | 1.44314e8i | 0.151712 | + | 0.0228669i | 0.224459 | − | 0.974484i | \(-0.427939\pi\) |
−0.0727472 | + | 0.997350i | \(0.523177\pi\) | |||||||
\(632\) | 1.71670e8 | + | 2.29078e9i | 0.0270511 | + | 0.360972i | ||||
\(633\) | 6.22774e8 | + | 1.58680e9i | 0.0975927 | + | 0.248662i | ||||
\(634\) | 1.31412e9 | − | 5.75754e9i | 0.204797 | − | 0.897273i | ||||
\(635\) | −1.17938e9 | + | 1.57378e10i | −0.182788 | + | 2.43913i | ||||
\(636\) | −4.22585e7 | + | 1.30350e7i | −0.00651350 | + | 0.00200915i | ||||
\(637\) | −2.34259e9 | − | 1.12813e9i | −0.359095 | − | 0.172931i | ||||
\(638\) | 2.07931e9 | + | 3.60146e9i | 0.316990 | + | 0.549043i | ||||
\(639\) | −3.30012e9 | + | 5.71597e9i | −0.500353 | + | 0.866636i | ||||
\(640\) | −2.32946e9 | + | 1.58820e9i | −0.351258 | + | 0.239483i | ||||
\(641\) | −2.44254e9 | − | 1.07015e10i | −0.366301 | − | 1.60487i | −0.736849 | − | 0.676057i | \(-0.763687\pi\) |
0.370548 | − | 0.928813i | \(-0.379170\pi\) | |||||||
\(642\) | 2.95261e7 | − | 4.45034e6i | 0.00440386 | − | 0.000663775i | ||||
\(643\) | −3.66695e9 | + | 4.59822e9i | −0.543960 | + | 0.682105i | −0.975503 | − | 0.219988i | \(-0.929398\pi\) |
0.431542 | + | 0.902093i | \(0.357970\pi\) | |||||||
\(644\) | −1.55171e9 | −0.228934 | ||||||||
\(645\) | 5.20757e8 | − | 2.56500e9i | 0.0764146 | − | 0.376382i | ||||
\(646\) | 1.32698e10 | 1.93664 | ||||||||
\(647\) | −5.62488e9 | + | 7.05338e9i | −0.816486 | + | 1.02384i | 0.182687 | + | 0.983171i | \(0.441520\pi\) |
−0.999173 | + | 0.0406695i | \(0.987051\pi\) | |||||||
\(648\) | −6.58248e9 | + | 9.92150e8i | −0.950336 | + | 0.143240i | ||||
\(649\) | 1.20311e8 | + | 5.27119e8i | 0.0172763 | + | 0.0756924i | ||||
\(650\) | 1.33287e10 | − | 9.08733e9i | 1.90366 | − | 1.29790i | ||||
\(651\) | 4.50713e8 | − | 7.80657e8i | 0.0640275 | − | 0.110899i | ||||
\(652\) | 2.32025e9 | + | 4.01880e9i | 0.327845 | + | 0.567845i | ||||
\(653\) | 6.28459e9 | + | 3.02650e9i | 0.883244 | + | 0.425348i | 0.819808 | − | 0.572638i | \(-0.194080\pi\) |
0.0634357 | + | 0.997986i | \(0.479794\pi\) | |||||||
\(654\) | −1.20780e8 | + | 3.72556e7i | −0.0168839 | + | 0.00520799i | ||||
\(655\) | 3.17069e8 | − | 4.23099e9i | 0.0440869 | − | 0.588298i | ||||
\(656\) | −5.65507e8 | + | 2.47765e9i | −0.0782122 | + | 0.342670i | ||||
\(657\) | −4.02485e9 | − | 1.02552e10i | −0.553696 | − | 1.41079i | ||||
\(658\) | −1.79149e8 | − | 2.39058e9i | −0.0245146 | − | 0.327124i | ||||
\(659\) | 6.38095e9 | + | 9.61774e8i | 0.868534 | + | 0.130910i | 0.568167 | − | 0.822913i | \(-0.307653\pi\) |
0.300367 | + | 0.953824i | \(0.402891\pi\) | |||||||
\(660\) | 4.64869e8 | − | 4.31336e8i | 0.0629401 | − | 0.0583998i | ||||
\(661\) | −1.73458e9 | + | 8.35330e8i | −0.233609 | + | 0.112500i | −0.547027 | − | 0.837115i | \(-0.684240\pi\) |
0.313418 | + | 0.949615i | \(0.398526\pi\) | |||||||
\(662\) | −7.27313e9 | − | 4.95873e9i | −0.974357 | − | 0.664305i | ||||
\(663\) | −8.57912e8 | + | 2.18592e9i | −0.114326 | + | 0.291298i | ||||
\(664\) | −5.39640e9 | − | 1.66457e9i | −0.715346 | − | 0.220655i | ||||
\(665\) | −1.33012e10 | − | 1.23417e10i | −1.75395 | − | 1.62742i | ||||
\(666\) | 3.78860e9 | + | 4.75075e9i | 0.496957 | + | 0.623164i | ||||
\(667\) | −4.86431e9 | − | 6.09965e9i | −0.634718 | − | 0.795912i | ||||
\(668\) | 2.71323e9 | + | 2.51751e9i | 0.352183 | + | 0.326778i | ||||
\(669\) | 1.66045e9 | + | 5.12182e8i | 0.214405 | + | 0.0661352i | ||||
\(670\) | 3.95506e9 | − | 1.00773e10i | 0.508032 | − | 1.29444i | ||||
\(671\) | 1.90537e8 | + | 1.29906e8i | 0.0243473 | + | 0.0165997i | ||||
\(672\) | −7.17305e8 | + | 3.45436e8i | −0.0911825 | + | 0.0439112i | ||||
\(673\) | −3.69698e9 | + | 3.43030e9i | −0.467514 | + | 0.433790i | −0.878421 | − | 0.477888i | \(-0.841403\pi\) |
0.410907 | + | 0.911677i | \(0.365212\pi\) | |||||||
\(674\) | −8.73493e9 | − | 1.31658e9i | −1.09888 | − | 0.165629i | ||||
\(675\) | 6.35084e8 | + | 8.47461e9i | 0.0794819 | + | 1.06061i | ||||
\(676\) | −8.27316e7 | − | 2.10797e8i | −0.0103005 | − | 0.0262452i | ||||
\(677\) | −2.30973e8 | + | 1.01196e9i | −0.0286089 | + | 0.125344i | −0.987216 | − | 0.159389i | \(-0.949048\pi\) |
0.958607 | + | 0.284733i | \(0.0919048\pi\) | |||||||
\(678\) | 1.43867e8 | − | 1.91977e9i | 0.0177279 | − | 0.236563i | ||||
\(679\) | 9.84067e9 | − | 3.03545e9i | 1.20637 | − | 0.372116i | ||||
\(680\) | 2.34709e10 | + | 1.13030e10i | 2.86252 | + | 1.37852i | ||||
\(681\) | 3.68755e8 | + | 6.38703e8i | 0.0447428 | + | 0.0774968i | ||||
\(682\) | −1.80796e9 | + | 3.13148e9i | −0.218245 | + | 0.378011i | ||||
\(683\) | 7.92209e9 | − | 5.40119e9i | 0.951410 | − | 0.648660i | 0.0151187 | − | 0.999886i | \(-0.495187\pi\) |
0.936291 | + | 0.351226i | \(0.114235\pi\) | |||||||
\(684\) | −9.61787e8 | − | 4.21387e9i | −0.114917 | − | 0.503482i | ||||
\(685\) | 1.68314e10 | − | 2.53692e9i | 2.00079 | − | 0.301571i | ||||
\(686\) | 4.64985e9 | − | 5.83073e9i | 0.549927 | − | 0.689586i | ||||
\(687\) | −1.69819e9 | −0.199819 | ||||||||
\(688\) | 2.22199e9 | − | 4.07215e9i | 0.260125 | − | 0.476721i | ||||
\(689\) | 8.98217e8 | 0.104620 | ||||||||
\(690\) | 1.43485e9 | − | 1.79924e9i | 0.166278 | − | 0.208506i | ||||
\(691\) | 1.25312e10 | − | 1.88877e9i | 1.44483 | − | 0.217774i | 0.620646 | − | 0.784091i | \(-0.286870\pi\) |
0.824188 | + | 0.566317i | \(0.191632\pi\) | |||||||
\(692\) | 5.02896e8 | + | 2.20333e9i | 0.0576909 | + | 0.252760i | ||||
\(693\) | 3.58238e9 | − | 2.44242e9i | 0.408889 | − | 0.278775i | ||||
\(694\) | −5.53980e9 | + | 9.59521e9i | −0.629123 | + | 1.08967i | ||||
\(695\) | −5.16506e9 | − | 8.94615e9i | −0.583618 | − | 1.01086i | ||||
\(696\) | −2.06578e9 | − | 9.94826e8i | −0.232248 | − | 0.111845i | ||||
\(697\) | 8.35797e9 | − | 2.57809e9i | 0.934945 | − | 0.288392i | ||||
\(698\) | −1.76745e8 | + | 2.35849e9i | −0.0196722 | + | 0.262507i | ||||
\(699\) | 1.08416e8 | − | 4.75004e8i | 0.0120067 | − | 0.0526050i | ||||
\(700\) | −2.42031e9 | − | 6.16684e9i | −0.266703 | − | 0.679548i | ||||
\(701\) | 1.21949e8 | + | 1.62730e9i | 0.0133711 | + | 0.178424i | 0.999891 | + | 0.0147818i | \(0.00470535\pi\) |
−0.986520 | + | 0.163643i | \(0.947676\pi\) | |||||||
\(702\) | −2.98631e9 | − | 4.50114e8i | −0.325803 | − | 0.0491069i | ||||
\(703\) | −1.08907e10 | + | 1.01050e10i | −1.18225 | + | 1.09697i | ||||
\(704\) | 5.84886e9 | − | 2.81666e9i | 0.631782 | − | 0.304250i | ||||
\(705\) | −1.51864e9 | − | 1.03539e9i | −0.163227 | − | 0.111286i | ||||
\(706\) | −2.19474e9 | + | 5.59210e9i | −0.234729 | + | 0.598079i | ||||
\(707\) | −2.13473e9 | − | 6.58476e8i | −0.227182 | − | 0.0700764i | ||||
\(708\) | −5.55421e7 | − | 5.15355e7i | −0.00588174 | − | 0.00545745i | ||||
\(709\) | 2.38556e9 | + | 2.99140e9i | 0.251379 | + | 0.315220i | 0.891470 | − | 0.453080i | \(-0.149675\pi\) |
−0.640091 | + | 0.768299i | \(0.721103\pi\) | |||||||
\(710\) | 9.71131e9 | + | 1.21776e10i | 1.01829 | + | 1.27690i | ||||
\(711\) | 2.24367e9 | + | 2.08182e9i | 0.234107 | + | 0.217220i | ||||
\(712\) | −5.88332e9 | − | 1.81476e9i | −0.610861 | − | 0.188426i | ||||
\(713\) | 2.47834e9 | − | 6.31471e9i | 0.256063 | − | 0.652439i | ||||
\(714\) | −1.54127e9 | − | 1.05082e9i | −0.158465 | − | 0.108040i | ||||
\(715\) | −1.16048e10 | + | 5.58856e9i | −1.18731 | + | 0.571780i | ||||
\(716\) | 8.96089e8 | − | 8.31449e8i | 0.0912338 | − | 0.0846526i | ||||
\(717\) | 1.10937e9 | + | 1.67211e8i | 0.112399 | + | 0.0169414i | ||||
\(718\) | 2.91271e8 | + | 3.88674e9i | 0.0293671 | + | 0.391877i | ||||
\(719\) | −6.71186e9 | − | 1.71016e10i | −0.673429 | − | 1.71587i | −0.697926 | − | 0.716170i | \(-0.745893\pi\) |
0.0244962 | − | 0.999700i | \(-0.492202\pi\) | |||||||
\(720\) | −2.24412e9 | + | 9.83211e9i | −0.224069 | + | 0.981710i | ||||
\(721\) | −1.09109e9 | + | 1.45596e10i | −0.108415 | + | 1.44669i | ||||
\(722\) | −1.16873e10 | + | 3.60506e9i | −1.15567 | + | 0.356478i | ||||
\(723\) | 2.72831e9 | + | 1.31389e9i | 0.268479 | + | 0.129293i | ||||
\(724\) | −1.20579e9 | − | 2.08849e9i | −0.118083 | − | 0.204526i | ||||
\(725\) | 1.66542e10 | − | 2.88459e10i | 1.62308 | − | 2.81126i | ||||
\(726\) | −7.83830e8 | + | 5.34406e8i | −0.0760228 | + | 0.0518315i | ||||
\(727\) | 1.44902e9 | + | 6.34858e9i | 0.139863 | + | 0.612782i | 0.995463 | + | 0.0951443i | \(0.0303313\pi\) |
−0.855600 | + | 0.517638i | \(0.826812\pi\) | |||||||
\(728\) | 9.15894e9 | − | 1.38049e9i | 0.879803 | − | 0.132609i | ||||
\(729\) | −5.02396e9 | + | 6.29985e9i | −0.480286 | + | 0.602260i | ||||
\(730\) | −2.59981e10 | −2.47349 | ||||||||
\(731\) | −1.59610e10 | + | 3.84703e8i | −1.51130 | + | 0.0364263i | ||||
\(732\) | −3.23165e7 | −0.00304534 | ||||||||
\(733\) | −5.88635e9 | + | 7.38125e9i | −0.552055 | + | 0.692255i | −0.977067 | − | 0.212933i | \(-0.931698\pi\) |
0.425012 | + | 0.905188i | \(0.360270\pi\) | |||||||
\(734\) | 6.94556e9 | − | 1.04688e9i | 0.648293 | − | 0.0977144i | ||||
\(735\) | −3.52383e8 | − | 1.54389e9i | −0.0327348 | − | 0.143420i | ||||
\(736\) | −4.95031e9 | + | 3.37506e9i | −0.457678 | + | 0.312039i | ||||
\(737\) | −3.16230e9 | + | 5.47726e9i | −0.290982 | + | 0.503996i | ||||
\(738\) | 2.75543e9 | + | 4.77254e9i | 0.252343 | + | 0.437071i | ||||
\(739\) | 9.53144e9 | + | 4.59010e9i | 0.868766 | + | 0.418376i | 0.814509 | − | 0.580151i | \(-0.197007\pi\) |
0.0542573 | + | 0.998527i | \(0.482721\pi\) | |||||||
\(740\) | −7.08378e9 | + | 2.18506e9i | −0.642620 | + | 0.198222i | ||||
\(741\) | 2.70328e8 | − | 3.60728e9i | 0.0244078 | − | 0.325699i | ||||
\(742\) | −1.58774e8 | + | 6.95635e8i | −0.0142681 | + | 0.0625127i | ||||
\(743\) | 2.46822e9 | + | 6.28893e9i | 0.220762 | + | 0.562492i | 0.997752 | − | 0.0670215i | \(-0.0213496\pi\) |
−0.776990 | + | 0.629513i | \(0.783254\pi\) | |||||||
\(744\) | −1.48984e8 | − | 1.98805e9i | −0.0132628 | − | 0.176979i | ||||
\(745\) | −1.00200e10 | − | 1.51028e9i | −0.887815 | − | 0.133817i | ||||
\(746\) | −9.62128e9 | + | 8.92724e9i | −0.848490 | + | 0.787284i | ||||
\(747\) | −6.77915e9 | + | 3.26466e9i | −0.595049 | + | 0.286561i | ||||
\(748\) | −3.19617e9 | − | 2.17911e9i | −0.279238 | − | 0.190381i | ||||
\(749\) | −9.09922e7 | + | 2.31844e8i | −0.00791257 | + | 0.0201609i | ||||
\(750\) | 5.94600e9 | + | 1.83410e9i | 0.514648 | + | 0.158748i | ||||
\(751\) | 8.24779e9 | + | 7.65283e9i | 0.710555 | + | 0.659299i | 0.950228 | − | 0.311555i | \(-0.100850\pi\) |
−0.239673 | + | 0.970854i | \(0.577040\pi\) | |||||||
\(752\) | −2.03112e9 | − | 2.54695e9i | −0.174170 | − | 0.218403i | ||||
\(753\) | 8.73327e8 | + | 1.09512e9i | 0.0745409 | + | 0.0934713i | ||||
\(754\) | 8.67691e9 | + | 8.05100e9i | 0.737166 | + | 0.683990i | ||||
\(755\) | −1.96984e9 | − | 6.07616e8i | −0.166578 | − | 0.0513825i | ||||
\(756\) | −4.53109e8 | + | 1.15450e9i | −0.0381396 | + | 0.0971781i | ||||
\(757\) | 1.06229e9 | + | 7.24257e8i | 0.0890036 | + | 0.0606816i | 0.607004 | − | 0.794699i | \(-0.292371\pi\) |
−0.518001 | + | 0.855380i | \(0.673323\pi\) | |||||||
\(758\) | 1.58518e10 | − | 7.63383e9i | 1.32202 | − | 0.636649i | ||||
\(759\) | −9.85576e8 | + | 9.14481e8i | −0.0818171 | + | 0.0759152i | ||||
\(760\) | −3.96820e10 | − | 5.98110e9i | −3.27903 | − | 0.494235i | ||||
\(761\) | 1.17764e9 | + | 1.57145e10i | 0.0968647 | + | 1.29257i | 0.807861 | + | 0.589373i | \(0.200625\pi\) |
−0.710996 | + | 0.703196i | \(0.751756\pi\) | |||||||
\(762\) | −9.13114e8 | − | 2.32658e9i | −0.0747623 | − | 0.190491i | ||||
\(763\) | 2.34597e8 | − | 1.02784e9i | 0.0191200 | − | 0.0837700i | ||||
\(764\) | 6.82383e6 | − | 9.10577e7i | 0.000553607 | − | 0.00738737i | ||||
\(765\) | 3.31671e10 | − | 1.02307e10i | 2.67851 | − | 0.826210i | ||||
\(766\) | −5.25761e8 | − | 2.53193e8i | −0.0422656 | − | 0.0203541i | ||||
\(767\) | 7.69463e8 | + | 1.33275e9i | 0.0615750 | + | 0.106651i | ||||
\(768\) | −1.11149e9 | + | 1.92516e9i | −0.0885404 | + | 0.153357i | ||||
\(769\) | −1.92349e10 | + | 1.31141e10i | −1.52527 | + | 1.03991i | −0.545899 | + | 0.837851i | \(0.683812\pi\) |
−0.979373 | + | 0.202061i | \(0.935236\pi\) | |||||||
\(770\) | −2.27680e9 | − | 9.97533e9i | −0.179725 | − | 0.787426i | ||||
\(771\) | −1.10870e9 | + | 1.67109e8i | −0.0871210 | + | 0.0131314i | ||||
\(772\) | 2.12182e9 | − | 2.66067e9i | 0.165977 | − | 0.208128i | ||||
\(773\) | −2.11419e10 | −1.64633 | −0.823164 | − | 0.567804i | \(-0.807793\pi\) | ||||
−0.823164 | + | 0.567804i | \(0.807793\pi\) | |||||||
\(774\) | −2.47407e9 | − | 9.75033e9i | −0.191787 | − | 0.755833i | ||||
\(775\) | 2.89617e10 | 2.23495 | ||||||||
\(776\) | 1.42005e10 | − | 1.78069e10i | 1.09091 | − | 1.36796i | ||||
\(777\) | 2.06514e9 | − | 3.11270e8i | 0.157934 | − | 0.0238048i | ||||
\(778\) | 2.33625e8 | + | 1.02358e9i | 0.0177865 | + | 0.0779278i | ||||
\(779\) | −1.11325e10 | + | 7.59004e9i | −0.843749 | + | 0.575259i | ||||
\(780\) | 9.02502e8 | − | 1.56318e9i | 0.0680953 | − | 0.117945i | ||||
\(781\) | −4.54985e9 | − | 7.88057e9i | −0.341758 | − | 0.591942i | ||||
\(782\) | −1.26478e10 | − | 6.09085e9i | −0.945782 | − | 0.455464i | ||||
\(783\) | −5.95867e9 | + | 1.83800e9i | −0.443591 | + | 0.136830i | ||||
\(784\) | 2.09748e8 | − | 2.79889e9i | 0.0155450 | − | 0.207434i | ||||
\(785\) | −2.50171e9 | + | 1.09607e10i | −0.184584 | + | 0.808713i | ||||
\(786\) | 2.45484e8 | + | 6.25484e8i | 0.0180320 | + | 0.0459449i | ||||
\(787\) | 9.58368e8 | + | 1.27885e10i | 0.0700843 | + | 0.935210i | 0.915815 | + | 0.401600i | \(0.131546\pi\) |
−0.845731 | + | 0.533610i | \(0.820835\pi\) | |||||||
\(788\) | 1.36992e9 | + | 2.06483e8i | 0.0997365 | + | 0.0150329i | ||||
\(789\) | 1.59778e9 | − | 1.48253e9i | 0.115811 | − | 0.107457i | ||||
\(790\) | 6.50763e9 | − | 3.13391e9i | 0.469600 | − | 0.226147i | ||||
\(791\) | 1.32676e10 | + | 9.04572e9i | 0.953182 | + | 0.649869i | ||||
\(792\) | 3.50331e9 | − | 8.92629e9i | 0.250576 | − | 0.638458i | ||||
\(793\) | 6.27219e8 | + | 1.93471e8i | 0.0446645 | + | 0.0137772i | ||||
\(794\) | −4.87517e9 | − | 4.52350e9i | −0.345635 | − | 0.320703i | ||||
\(795\) | 3.41089e8 | + | 4.27712e8i | 0.0240759 | + | 0.0301902i | ||||
\(796\) | 4.99140e9 | + | 6.25902e9i | 0.350773 | + | 0.439856i | ||||
\(797\) | −1.22097e10 | − | 1.13289e10i | −0.854281 | − | 0.792657i | 0.125633 | − | 0.992077i | \(-0.459904\pi\) |
−0.979914 | + | 0.199419i | \(0.936094\pi\) | |||||||
\(798\) | 2.74592e9 | + | 8.47004e8i | 0.191284 | + | 0.0590032i | ||||
\(799\) | −4.09614e9 | + | 1.04368e10i | −0.284094 | + | 0.723859i | ||||
\(800\) | −2.11346e10 | − | 1.44093e10i | −1.45942 | − | 0.995012i | ||||
\(801\) | −7.39083e9 | + | 3.55924e9i | −0.508136 | + | 0.244705i | ||||
\(802\) | 1.41832e9 | − | 1.31601e9i | 0.0970875 | − | 0.0900840i | ||||
\(803\) | 1.50190e10 | + | 2.26375e9i | 1.02362 | + | 0.154285i | ||||
\(804\) | −6.62338e7 | − | 8.83829e8i | −0.00449452 | − | 0.0599752i | ||||
\(805\) | 7.01289e9 | + | 1.78686e10i | 0.473818 | + | 1.20727i | ||||
\(806\) | −2.29019e9 | + | 1.00340e10i | −0.154063 | + | 0.674995i | ||||
\(807\) | −6.27360e7 | + | 8.37154e8i | −0.00420203 | + | 0.0560722i | ||||
\(808\) | −4.72124e9 | + | 1.45631e9i | −0.314859 | + | 0.0971212i | ||||
\(809\) | −9.07736e9 | − | 4.37143e9i | −0.602754 | − | 0.290271i | 0.107513 | − | 0.994204i | \(-0.465711\pi\) |
−0.710267 | + | 0.703933i | \(0.751426\pi\) | |||||||
\(810\) | 1.04653e10 | + | 1.81264e10i | 0.691917 | + | 1.19844i | ||||
\(811\) | −6.77799e9 | + | 1.17398e10i | −0.446198 | + | 0.772838i | −0.998135 | − | 0.0610483i | \(-0.980556\pi\) |
0.551937 | + | 0.833886i | \(0.313889\pi\) | |||||||
\(812\) | 4.01631e9 | − | 2.73827e9i | 0.263258 | − | 0.179486i | ||||
\(813\) | −3.37386e8 | − | 1.47818e9i | −0.0220196 | − | 0.0964742i | ||||
\(814\) | −8.28398e9 | + | 1.24861e9i | −0.538336 | + | 0.0811411i | ||||
\(815\) | 3.57917e10 | − | 4.48814e10i | 2.31596 | − | 2.90412i | ||||
\(816\) | −2.53489e9 | −0.163322 | ||||||||
\(817\) | 2.33204e10 | − | 7.81356e9i | 1.49609 | − | 0.501270i | ||||
\(818\) | −6.21607e9 | −0.397081 | ||||||||
\(819\) | 7.69444e9 | − | 9.64852e9i | 0.489422 | − | 0.613716i | ||||
\(820\) | −6.64803e9 | + | 1.00203e9i | −0.421061 | + | 0.0634647i | ||||
\(821\) | 4.47620e8 | + | 1.96115e9i | 0.0282299 | + | 0.123683i | 0.987080 | − | 0.160231i | \(-0.0512240\pi\) |
−0.958850 | + | 0.283914i | \(0.908367\pi\) | |||||||
\(822\) | −2.22726e9 | + | 1.51852e9i | −0.139868 | + | 0.0953605i | ||||
\(823\) | 3.52120e8 | − | 6.09890e8i | 0.0220187 | − | 0.0381375i | −0.854806 | − | 0.518948i | \(-0.826324\pi\) |
0.876825 | + | 0.480810i | \(0.159657\pi\) | |||||||
\(824\) | 1.61454e10 | + | 2.79647e10i | 1.00532 | + | 1.74127i | ||||
\(825\) | −5.17162e9 | − | 2.49052e9i | −0.320655 | − | 0.154419i | ||||
\(826\) | −1.16818e9 | + | 3.60336e8i | −0.0721240 | + | 0.0222473i | ||||
\(827\) | 1.68829e8 | − | 2.25287e9i | 0.0103795 | − | 0.138505i | −0.989606 | − | 0.143802i | \(-0.954067\pi\) |
0.999986 | + | 0.00529707i | \(0.00168612\pi\) | |||||||
\(828\) | −1.01747e9 | + | 4.45782e9i | −0.0622894 | + | 0.272908i | ||||
\(829\) | −3.78706e9 | − | 9.64926e9i | −0.230866 | − | 0.588238i | 0.767754 | − | 0.640745i | \(-0.221374\pi\) |
−0.998621 | + | 0.0525064i | \(0.983279\pi\) | |||||||
\(830\) | 1.32694e9 | + | 1.77067e10i | 0.0805521 | + | 1.07489i | ||||
\(831\) | −2.86174e9 | − | 4.31337e8i | −0.172992 | − | 0.0260744i | ||||
\(832\) | 1.35450e10 | − | 1.25679e10i | 0.815355 | − | 0.756539i | ||||
\(833\) | −8.70326e9 | + | 4.19127e9i | −0.521704 | + | 0.251240i | ||||
\(834\) | 1.35169e9 | + | 9.21569e8i | 0.0806857 | + | 0.0550106i | ||||
\(835\) | 1.67278e10 | − | 4.26217e10i | 0.994341 | − | 2.53354i | ||||
\(836\) | 5.69429e9 | + | 1.75646e9i | 0.337068 | + | 0.103972i | ||||
\(837\) | −3.97457e9 | − | 3.68786e9i | −0.234289 | − | 0.217388i | ||||
\(838\) | 9.64984e8 | + | 1.21005e9i | 0.0566456 | + | 0.0710313i | ||||
\(839\) | 8.25170e9 | + | 1.03473e10i | 0.482366 | + | 0.604867i | 0.962150 | − | 0.272519i | \(-0.0878567\pi\) |
−0.479785 | + | 0.877386i | \(0.659285\pi\) | |||||||
\(840\) | 4.13538e9 | + | 3.83707e9i | 0.240734 | + | 0.223369i | ||||
\(841\) | 6.87077e9 | + | 2.11935e9i | 0.398309 | + | 0.122862i | ||||
\(842\) | 5.73148e9 | − | 1.46036e10i | 0.330883 | − | 0.843076i | ||||
\(843\) | 6.16080e8 | + | 4.20036e8i | 0.0354194 | + | 0.0241485i | ||||
\(844\) | −7.20118e9 | + | 3.46791e9i | −0.412292 | + | 0.198549i | ||||
\(845\) | −2.05350e9 | + | 1.90537e9i | −0.117084 | + | 0.108638i | ||||
\(846\) | −6.98523e9 | − | 1.05285e9i | −0.396629 | − | 0.0597822i | ||||
\(847\) | −5.91335e8 | − | 7.89082e9i | −0.0334381 | − | 0.446200i | ||||
\(848\) | 3.54238e8 | + | 9.02583e8i | 0.0199485 | + | 0.0508279i | ||||
\(849\) | 9.54611e8 | − | 4.18242e9i | 0.0535364 | − | 0.234558i | ||||
\(850\) | 4.47880e9 | − | 5.97655e10i | 0.250147 | − | 3.33798i | ||||
\(851\) | 1.50184e10 | − | 4.63257e9i | 0.835355 | − | 0.257673i | ||||
\(852\) | 1.14892e9 | + | 5.53289e8i | 0.0636428 | + | 0.0306488i | ||||
\(853\) | −1.81599e9 | − | 3.14538e9i | −0.100182 | − | 0.173521i | 0.811577 | − | 0.584245i | \(-0.198609\pi\) |
−0.911760 | + | 0.410724i | \(0.865276\pi\) | |||||||
\(854\) | −2.60707e8 | + | 4.51558e8i | −0.0143236 | + | 0.0248091i | ||||
\(855\) | −4.41776e10 | + | 3.01197e10i | −2.41724 | + | 1.64805i | ||||
\(856\) | 1.22572e8 | + | 5.37022e8i | 0.00667932 | + | 0.0292640i | ||||
\(857\) | 1.58490e10 | − | 2.38885e9i | 0.860138 | − | 0.129645i | 0.295861 | − | 0.955231i | \(-0.404393\pi\) |
0.564276 | + | 0.825586i | \(0.309155\pi\) | |||||||
\(858\) | 1.27181e9 | − | 1.59480e9i | 0.0687413 | − | 0.0861989i | ||||
\(859\) | 1.16801e10 | 0.628740 | 0.314370 | − | 0.949301i | \(-0.398207\pi\) | ||||
0.314370 | + | 0.949301i | \(0.398207\pi\) | |||||||
\(860\) | 1.21756e10 | + | 1.53614e9i | 0.652750 | + | 0.0823541i | ||||
\(861\) | 1.89408e9 | 0.101132 | ||||||||
\(862\) | −5.77486e9 | + | 7.24144e9i | −0.307090 | + | 0.385079i | ||||
\(863\) | 2.15399e10 | − | 3.24662e9i | 1.14079 | − | 0.171947i | 0.448650 | − | 0.893707i | \(-0.351905\pi\) |
0.692143 | + | 0.721761i | \(0.256667\pi\) | |||||||
\(864\) | 1.06559e9 | + | 4.66866e9i | 0.0562073 | + | 0.246260i | ||||
\(865\) | 2.30994e10 | − | 1.57489e10i | 1.21351 | − | 0.827360i | ||||
\(866\) | 6.31669e8 | − | 1.09408e9i | 0.0330504 | − | 0.0572450i | ||||
\(867\) | 2.45339e9 | + | 4.24940e9i | 0.127850 | + | 0.221443i | ||||
\(868\) | 3.80804e9 | + | 1.83386e9i | 0.197644 | + | 0.0951801i | ||||
\(869\) | −4.03232e9 | + | 1.24381e9i | −0.208442 | + | 0.0642960i | ||||
\(870\) | −5.38745e8 | + | 7.18905e9i | −0.0277374 | + | 0.370130i | ||||
\(871\) | −4.00577e9 | + | 1.75504e10i | −0.205410 | + | 0.899962i | ||||
\(872\) | −8.51853e8 | − | 2.17049e9i | −0.0435068 | − | 0.110854i | ||||
\(873\) | −2.26775e9 | − | 3.02610e10i | −0.115357 | − | 1.53934i | ||||
\(874\) | 2.13835e10 | + | 3.22304e9i | 1.08340 | + | 0.163296i | ||||
\(875\) | −3.80468e10 | + | 3.53022e10i | −1.91995 | + | 1.78145i | ||||
\(876\) | −1.91770e9 | + | 9.23516e8i | −0.0963865 | + | 0.0464173i | ||||
\(877\) | 1.87893e10 | + | 1.28103e10i | 0.940614 | + | 0.641300i | 0.933463 | − | 0.358675i | \(-0.116771\pi\) |
0.00715114 | + | 0.999974i | \(0.497724\pi\) | |||||||
\(878\) | 2.83166e9 | − | 7.21495e9i | 0.141192 | − | 0.359751i | ||||
\(879\) | −4.36234e8 | − | 1.34560e8i | −0.0216650 | − | 0.00668276i | ||||
\(880\) | −1.01924e10 | − | 9.45718e9i | −0.504182 | − | 0.467813i | ||||
\(881\) | −7.17614e9 | − | 8.99859e9i | −0.353570 | − | 0.443362i | 0.572960 | − | 0.819583i | \(-0.305795\pi\) |
−0.926530 | + | 0.376221i | \(0.877223\pi\) | |||||||
\(882\) | −3.79475e9 | − | 4.75847e9i | −0.186227 | − | 0.233522i | ||||
\(883\) | −1.55344e10 | − | 1.44138e10i | −0.759334 | − | 0.704559i | 0.202170 | − | 0.979350i | \(-0.435201\pi\) |
−0.961504 | + | 0.274791i | \(0.911391\pi\) | |||||||
\(884\) | −1.05213e10 | − | 3.24540e9i | −0.512256 | − | 0.158010i | ||||
\(885\) | −3.42431e8 | + | 8.72501e8i | −0.0166063 | + | 0.0423121i | ||||
\(886\) | −2.34971e10 | − | 1.60201e10i | −1.13500 | − | 0.773832i | ||||
\(887\) | −3.13489e10 | + | 1.50969e10i | −1.50831 | + | 0.726363i | −0.991545 | − | 0.129765i | \(-0.958578\pi\) |
−0.516764 | + | 0.856128i | \(0.672864\pi\) | |||||||
\(888\) | 3.38592e9 | − | 3.14168e9i | 0.162268 | − | 0.150562i | ||||
\(889\) | 2.06144e10 | + | 3.10712e9i | 0.984043 | + | 0.148321i | ||||
\(890\) | 1.44667e9 | + | 1.93044e10i | 0.0687865 | + | 0.917892i | ||||
\(891\) | −4.46744e9 | − | 1.13829e10i | −0.211586 | − | 0.539112i | ||||
\(892\) | −1.81299e9 | + | 7.94323e9i | −0.0855300 | + | 0.374732i | ||||
\(893\) | 1.29070e9 | − | 1.72232e10i | 0.0606519 | − | 0.809343i | ||||
\(894\) | 1.53348e9 | − | 4.73016e8i | 0.0717789 | − | 0.0221409i | ||||
\(895\) | −1.36243e10 | − | 6.56112e9i | −0.635234 | − | 0.305912i | ||||
\(896\) | 1.86213e9 | + | 3.22530e9i | 0.0864830 | + | 0.149793i | ||||
\(897\) | −1.91341e9 | + | 3.31412e9i | −0.0885185 | + | 0.153319i | ||||
\(898\) | −1.11757e10 | + | 7.61943e9i | −0.514998 | + | 0.351120i | ||||
\(899\) | 4.72873e9 | + | 2.07179e10i | 0.217063 | + | 0.951014i | ||||
\(900\) | −1.93034e10 | + | 2.90951e9i | −0.882642 | + | 0.133037i | ||||
\(901\) | 2.08063e9 | − | 2.60903e9i | 0.0947674 | − | 0.118835i | ||||
\(902\) | −7.59778e9 | −0.344718 | ||||||||
\(903\) | −3.32738e9 | − | 9.39179e8i | −0.150382 | − | 0.0424464i | ||||
\(904\) | 3.55142e10 | 1.59887 | ||||||||
\(905\) | −1.86003e10 | + | 2.33240e10i | −0.834160 | + | 1.04600i | ||||
\(906\) | 3.22817e8 | − | 4.86569e7i | 0.0144214 | − | 0.00217368i | ||||
\(907\) | 8.59244e9 | + | 3.76459e10i | 0.382376 | + | 1.67530i | 0.690014 | + | 0.723796i | \(0.257604\pi\) |
−0.307638 | + | 0.951503i | \(0.599539\pi\) | |||||||
\(908\) | −2.85717e9 | + | 1.94798e9i | −0.126659 | + | 0.0863545i | ||||
\(909\) | −3.29145e9 | + | 5.70096e9i | −0.145350 | + | 0.251753i | ||||
\(910\) | −1.45615e10 | − | 2.52213e10i | −0.640563 | − | 1.10949i | ||||
\(911\) | −3.19008e10 | − | 1.53626e10i | −1.39794 | − | 0.673211i | −0.425196 | − | 0.905101i | \(-0.639795\pi\) |
−0.972742 | + | 0.231890i | \(0.925509\pi\) | |||||||
\(912\) | 3.73143e9 | − | 1.15099e9i | 0.162890 | − | 0.0502448i | ||||
\(913\) | 7.75226e8 | − | 1.03447e10i | 0.0337117 | − | 0.449852i | ||||
\(914\) | 1.58505e9 | − | 6.94456e9i | 0.0686644 | − | 0.300838i | ||||
\(915\) | 1.46053e8 | + | 3.72137e8i | 0.00630285 | + | 0.0160594i | ||||
\(916\) | −5.95037e8 | − | 7.94022e9i | −0.0255805 | − | 0.341349i | ||||
\(917\) | −5.54203e9 | − | 8.35327e8i | −0.237343 | − | 0.0357737i | ||||
\(918\) | −8.22494e9 | + | 7.63163e9i | −0.350900 | + | 0.325588i | ||||
\(919\) | −1.56490e10 | + | 7.53615e9i | −0.665092 | + | 0.320291i | −0.735793 | − | 0.677206i | \(-0.763190\pi\) |
0.0707017 | + | 0.997498i | \(0.477476\pi\) | |||||||
\(920\) | 3.50767e10 | + | 2.39149e10i | 1.48512 | + | 1.01254i | ||||
\(921\) | −2.61578e8 | + | 6.66490e8i | −0.0110330 | + | 0.0281116i | ||||
\(922\) | −2.15339e10 | − | 6.64234e9i | −0.904827 | − | 0.279102i | ||||
\(923\) | −1.89865e10 | − | 1.76169e10i | −0.794763 | − | 0.737433i | ||||
\(924\) | −5.22293e8 | − | 6.54935e8i | −0.0217802 | − | 0.0273115i | ||||
\(925\) | 4.18361e10 | + | 5.24608e10i | 1.73802 | + | 2.17941i | ||||
\(926\) | 4.34715e9 | + | 4.03356e9i | 0.179914 | + | 0.166936i | ||||
\(927\) | 4.11120e10 | + | 1.26814e10i | 1.69508 | + | 0.522862i | ||||
\(928\) | 6.85703e9 | − | 1.74714e10i | 0.281655 | − | 0.717646i | ||||
\(929\) | −2.96842e10 | − | 2.02383e10i | −1.21470 | − | 0.828170i | −0.225431 | − | 0.974259i | \(-0.572379\pi\) |
−0.989271 | + | 0.146089i | \(0.953331\pi\) | |||||||
\(930\) | −5.64765e9 | + | 2.71977e9i | −0.230238 | + | 0.110877i | ||||
\(931\) | 1.09083e10 | − | 1.01215e10i | 0.443032 | − | 0.411074i | ||||
\(932\) | 2.25896e9 | + | 3.40483e8i | 0.0914014 | + | 0.0137765i | ||||
\(933\) | −2.25161e8 | − | 3.00456e9i | −0.00907626 | − | 0.121114i | ||||
\(934\) | −3.46915e9 | − | 8.83926e9i | −0.139319 | − | 0.354978i | ||||
\(935\) | −1.06484e10 | + | 4.66535e10i | −0.426032 | + | 1.86657i | ||||
\(936\) | 2.03966e9 | − | 2.72174e10i | 0.0813003 | − | 1.08488i | ||||
\(937\) | −3.74567e9 | + | 1.15539e9i | −0.148744 | + | 0.0458816i | −0.368233 | − | 0.929733i | \(-0.620037\pi\) |
0.219489 | + | 0.975615i | \(0.429561\pi\) | |||||||
\(938\) | −1.28841e10 | − | 6.20464e9i | −0.509733 | − | 0.245475i | ||||
\(939\) | 2.23445e8 | + | 3.87018e8i | 0.00880725 | + | 0.0152546i | ||||
\(940\) | 4.30904e9 | − | 7.46348e9i | 0.169213 | − | 0.293085i | ||||
\(941\) | 1.25408e10 | − | 8.55018e9i | 0.490639 | − | 0.334512i | −0.292598 | − | 0.956236i | \(-0.594520\pi\) |
0.783237 | + | 0.621724i | \(0.213567\pi\) | |||||||
\(942\) | −3.96190e8 | − | 1.73582e9i | −0.0154428 | − | 0.0676593i | ||||
\(943\) | 1.40946e10 | − | 2.12442e9i | 0.547345 | − | 0.0824990i | ||||
\(944\) | −1.03577e9 | + | 1.29881e9i | −0.0400738 | + | 0.0502510i | ||||
\(945\) | 1.53423e10 | 0.591399 | ||||||||
\(946\) | 1.33472e10 | + | 3.76736e9i | 0.512592 | + | 0.144683i | ||||
\(947\) | −2.93927e10 | −1.12464 | −0.562321 | − | 0.826919i | \(-0.690091\pi\) | ||||
−0.562321 | + | 0.826919i | \(0.690091\pi\) | |||||||
\(948\) | 3.68699e8 | − | 4.62334e8i | 0.0140554 | − | 0.0176249i | ||||
\(949\) | 4.27488e10 | − | 6.44334e9i | 1.62365 | − | 0.244726i | ||||
\(950\) | 2.05442e10 | + | 9.00100e10i | 0.777422 | + | 3.40611i | ||||
\(951\) | −4.94183e9 | + | 3.36929e9i | −0.186319 | + | 0.127030i | ||||
\(952\) | 1.72059e10 | − | 2.98015e10i | 0.646322 | − | 1.11946i | ||||
\(953\) | −8.42650e9 | − | 1.45951e10i | −0.315371 | − | 0.546239i | 0.664145 | − | 0.747604i | \(-0.268796\pi\) |
−0.979516 | + | 0.201365i | \(0.935462\pi\) | |||||||
\(954\) | 1.89434e9 | + | 9.12266e8i | 0.0706380 | + | 0.0340175i | ||||
\(955\) | −1.07941e9 | + | 3.32952e8i | −0.0401026 | + | 0.0123700i | ||||
\(956\) | −3.93109e8 | + | 5.24568e9i | −0.0145516 | + | 0.194178i | ||||
\(957\) | 9.37211e8 | − | 4.10619e9i | 0.0345657 | − | 0.151442i | ||||
\(958\) | 1.21967e10 | + | 3.10766e10i | 0.448190 | + | 1.14197i | ||||
\(959\) | −1.68028e9 | − | 2.24218e10i | −0.0615200 | − | 0.820928i | ||||
\(960\) | 1.11281e10 | + | 1.67730e9i | 0.405951 | + | 0.0611873i | ||||
\(961\) | 6.62319e9 | − | 6.14543e9i | 0.240733 | − | 0.223368i | ||||
\(962\) | −2.14837e10 | + | 1.03460e10i | −0.778029 | + | 0.374679i | ||||
\(963\) | 6.06387e8 | + | 4.13428e8i | 0.0218805 | + | 0.0149179i | ||||
\(964\) | −5.18734e9 | + | 1.32171e10i | −0.186498 | + | 0.475190i | ||||
\(965\) | −4.02282e10 | − | 1.24087e10i | −1.44107 | − | 0.444511i | ||||
\(966\) | −2.22844e9 | − | 2.06769e9i | −0.0795390 | − | 0.0738015i | ||||
\(967\) | 1.90911e10 | + | 2.39395e10i | 0.678952 | + | 0.851378i | 0.995257 | − | 0.0972790i | \(-0.0310139\pi\) |
−0.316306 | + | 0.948657i | \(0.602442\pi\) | |||||||
\(968\) | −1.09114e10 | − | 1.36825e10i | −0.386650 | − | 0.484844i | ||||
\(969\) | −9.85181e9 | − | 9.14114e9i | −0.347843 | − | 0.322751i | ||||
\(970\) | −6.84310e10 | − | 2.11082e10i | −2.40742 | − | 0.742591i | ||||
\(971\) | −1.79807e10 | + | 4.58142e10i | −0.630290 | + | 1.60595i | 0.155765 | + | 0.987794i | \(0.450216\pi\) |
−0.786054 | + | 0.618158i | \(0.787879\pi\) | |||||||
\(972\) | 4.55987e9 | + | 3.10886e9i | 0.159265 | + | 0.108585i | ||||
\(973\) | −1.22943e10 | + | 5.92062e9i | −0.427867 | + | 0.206050i | ||||
\(974\) | −3.49271e8 | + | 3.24077e8i | −0.0121117 | + | 0.0112381i | ||||
\(975\) | −1.61555e10 | − | 2.43505e9i | −0.558219 | − | 0.0841380i | ||||
\(976\) | 5.29500e7 | + | 7.06569e8i | 0.00182302 | + | 0.0243265i | ||||
\(977\) | 2.85565e8 | + | 7.27609e8i | 0.00979658 | + | 0.0249613i | 0.935688 | − | 0.352828i | \(-0.114780\pi\) |
−0.925892 | + | 0.377789i | \(0.876685\pi\) | |||||||
\(978\) | −2.02298e9 | + | 8.86325e9i | −0.0691521 | + | 0.302975i | ||||
\(979\) | 8.45176e8 | − | 1.12781e10i | 0.0287877 | − | 0.384146i | ||||
\(980\) | 7.09529e9 | − | 2.18861e9i | 0.240812 | − | 0.0742808i | ||||
\(981\) | −2.79899e9 | − | 1.34792e9i | −0.0946584 | − | 0.0455851i | ||||
\(982\) | 2.19028e10 | + | 3.79368e10i | 0.738091 | + | 1.27841i | ||||
\(983\) | 1.26125e10 | − | 2.18455e10i | 0.423510 | − | 0.733540i | −0.572770 | − | 0.819716i | \(-0.694131\pi\) |
0.996280 | + | 0.0861756i | \(0.0274646\pi\) | |||||||
\(984\) | 3.46113e9 | − | 2.35976e9i | 0.115807 | − | 0.0789559i | ||||
\(985\) | −3.81358e9 | − | 1.67084e10i | −0.127147 | − | 0.557067i | ||||
\(986\) | 4.34848e10 | − | 6.55428e9i | 1.44467 | − | 0.217749i | ||||
\(987\) | −1.51379e9 | + | 1.89824e9i | −0.0501137 | + | 0.0628407i | ||||
\(988\) | 1.69613e10 | 0.559511 | ||||||||
\(989\) | −2.58137e10 | − | 3.25678e9i | −0.848524 | − | 0.107054i | ||||
\(990\) | −3.01505e10 | −0.987576 | ||||||||
\(991\) | −1.85893e10 | + | 2.33103e10i | −0.606745 | + | 0.760834i | −0.986412 | − | 0.164289i | \(-0.947467\pi\) |
0.379667 | + | 0.925123i | \(0.376038\pi\) | |||||||
\(992\) | 1.61373e10 | − | 2.43230e9i | 0.524855 | − | 0.0791091i | ||||
\(993\) | 1.98383e9 | + | 8.69172e9i | 0.0642957 | + | 0.281698i | ||||
\(994\) | 1.69998e10 | − | 1.15902e10i | 0.549023 | − | 0.374317i | ||||
\(995\) | 4.95166e10 | − | 8.57653e10i | 1.59357 | − | 2.76014i | ||||
\(996\) | 7.26866e8 | + | 1.25897e9i | 0.0233102 | + | 0.0403745i | ||||
\(997\) | −3.37836e10 | − | 1.62693e10i | −1.07963 | − | 0.519920i | −0.192429 | − | 0.981311i | \(-0.561636\pi\) |
−0.887197 | + | 0.461391i | \(0.847351\pi\) | |||||||
\(998\) | 1.80793e10 | − | 5.57672e9i | 0.575737 | − | 0.177591i | ||||
\(999\) | 9.38748e8 | − | 1.25267e10i | 0.0297900 | − | 0.397519i |
(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 | 43.8.g.a.24.9 | yes | 300 | |
43.9 | even | 21 | inner | 43.8.g.a.9.9 | ✓ | 300 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.8.g.a.9.9 | ✓ | 300 | 43.9 | even | 21 | inner | |
43.8.g.a.24.9 | yes | 300 | 1.1 | even | 1 | trivial |