Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,9,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), 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: | \(11.8139796918\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 15.5 | ||
Character | \(\chi\) | \(=\) | 29.15 |
Dual form | 29.9.f.a.2.5 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{27}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −21.4136 | + | 2.41273i | −1.33835 | + | 0.150796i | −0.751946 | − | 0.659225i | \(-0.770885\pi\) |
−0.586402 | + | 0.810020i | \(0.699456\pi\) | |||||||
\(3\) | 91.7346 | − | 57.6407i | 1.13253 | − | 0.711613i | 0.170713 | − | 0.985321i | \(-0.445393\pi\) |
0.961813 | + | 0.273708i | \(0.0882500\pi\) | |||||||
\(4\) | 203.138 | − | 46.3649i | 0.793508 | − | 0.181113i | ||||
\(5\) | −731.114 | − | 583.044i | −1.16978 | − | 0.932871i | −0.171155 | − | 0.985244i | \(-0.554750\pi\) |
−0.998628 | + | 0.0523732i | \(0.983321\pi\) | |||||||
\(6\) | −1825.29 | + | 1455.62i | −1.40841 | + | 1.12317i | ||||
\(7\) | 246.757 | − | 1081.11i | 0.102773 | − | 0.450277i | −0.897190 | − | 0.441645i | \(-0.854395\pi\) |
0.999963 | − | 0.00863196i | \(-0.00274767\pi\) | |||||||
\(8\) | 968.946 | − | 339.049i | 0.236559 | − | 0.0827756i | ||||
\(9\) | 2246.08 | − | 4664.03i | 0.342338 | − | 0.710872i | ||||
\(10\) | 17062.5 | + | 10721.1i | 1.70625 | + | 1.07211i | ||||
\(11\) | 1725.95 | + | 603.935i | 0.117885 | + | 0.0412496i | 0.388577 | − | 0.921416i | \(-0.372967\pi\) |
−0.270692 | + | 0.962666i | \(0.587253\pi\) | |||||||
\(12\) | 15962.3 | − | 15962.3i | 0.769786 | − | 0.769786i | ||||
\(13\) | −2140.33 | − | 4444.45i | −0.0749391 | − | 0.155613i | 0.860133 | − | 0.510069i | \(-0.170380\pi\) |
−0.935073 | + | 0.354457i | \(0.884666\pi\) | |||||||
\(14\) | −2675.52 | + | 23745.9i | −0.0696459 | + | 0.618124i | ||||
\(15\) | −100676. | − | 11343.4i | −1.98865 | − | 0.224067i | ||||
\(16\) | −67988.9 | + | 32741.7i | −1.03743 | + | 0.499599i | ||||
\(17\) | −11256.2 | − | 11256.2i | −0.134771 | − | 0.134771i | 0.636503 | − | 0.771274i | \(-0.280380\pi\) |
−0.771274 | + | 0.636503i | \(0.780380\pi\) | |||||||
\(18\) | −36843.5 | + | 105293.i | −0.350971 | + | 1.00302i | ||||
\(19\) | −124871. | + | 198730.i | −0.958177 | + | 1.52493i | −0.110863 | + | 0.993836i | \(0.535362\pi\) |
−0.847313 | + | 0.531094i | \(0.821781\pi\) | |||||||
\(20\) | −175550. | − | 84540.4i | −1.09719 | − | 0.528377i | ||||
\(21\) | −39680.0 | − | 113399.i | −0.204030 | − | 0.583084i | ||||
\(22\) | −38415.8 | − | 8768.16i | −0.163991 | − | 0.0374298i | ||||
\(23\) | −242749. | − | 304398.i | −0.867455 | − | 1.08775i | −0.995384 | − | 0.0959707i | \(-0.969404\pi\) |
0.127929 | − | 0.991783i | \(-0.459167\pi\) | |||||||
\(24\) | 69342.9 | − | 86953.2i | 0.209005 | − | 0.262084i | ||||
\(25\) | 107665. | + | 471713.i | 0.275623 | + | 1.20759i | ||||
\(26\) | 56555.5 | + | 90007.5i | 0.123760 | + | 0.196963i | ||||
\(27\) | 16792.2 | + | 149034.i | 0.0315974 | + | 0.280435i | ||||
\(28\) | − | 231056.i | − | 0.375911i | ||||||
\(29\) | −643056. | + | 294492.i | −0.909194 | + | 0.416373i | ||||
\(30\) | 2.18319e6 | 2.69530 | ||||||||
\(31\) | 505726. | − | 56981.6i | 0.547606 | − | 0.0617004i | 0.166173 | − | 0.986097i | \(-0.446859\pi\) |
0.381433 | + | 0.924396i | \(0.375431\pi\) | |||||||
\(32\) | 1.15437e6 | − | 725339.i | 1.10089 | − | 0.691737i | ||||
\(33\) | 193140. | − | 44083.0i | 0.162861 | − | 0.0371720i | ||||
\(34\) | 268195. | + | 213878.i | 0.200694 | + | 0.160048i | ||||
\(35\) | −810745. | + | 646548.i | −0.540272 | + | 0.430852i | ||||
\(36\) | 240017. | − | 1.05158e6i | 0.142900 | − | 0.626084i | ||||
\(37\) | −2.15384e6 | + | 753660.i | −1.14923 | + | 0.402132i | −0.836638 | − | 0.547757i | \(-0.815482\pi\) |
−0.312589 | + | 0.949889i | \(0.601196\pi\) | |||||||
\(38\) | 2.19444e6 | − | 4.55680e6i | 1.05242 | − | 2.18537i | ||||
\(39\) | −452524. | − | 284340.i | −0.195606 | − | 0.122908i | ||||
\(40\) | −906091. | − | 317055.i | −0.353942 | − | 0.123850i | ||||
\(41\) | −1.56467e6 | + | 1.56467e6i | −0.553715 | + | 0.553715i | −0.927511 | − | 0.373796i | \(-0.878056\pi\) |
0.373796 | + | 0.927511i | \(0.378056\pi\) | |||||||
\(42\) | 1.12329e6 | + | 2.33254e6i | 0.360990 | + | 0.749603i | ||||
\(43\) | 110419. | − | 979994.i | 0.0322975 | − | 0.286649i | −0.967173 | − | 0.254118i | \(-0.918215\pi\) |
0.999471 | − | 0.0325305i | \(-0.0103566\pi\) | |||||||
\(44\) | 378607. | + | 42658.8i | 0.101013 | + | 0.0113814i | ||||
\(45\) | −4.36148e6 | + | 2.10038e6i | −1.06361 | + | 0.512209i | ||||
\(46\) | 5.93256e6 | + | 5.93256e6i | 1.32498 | + | 1.32498i | ||||
\(47\) | 1.52363e6 | − | 4.35427e6i | 0.312239 | − | 0.892327i | −0.675658 | − | 0.737215i | \(-0.736140\pi\) |
0.987897 | − | 0.155112i | \(-0.0495739\pi\) | |||||||
\(48\) | −4.34968e6 | + | 6.92247e6i | −0.819393 | + | 1.30406i | ||||
\(49\) | 4.08599e6 | + | 1.96771e6i | 0.708782 | + | 0.341331i | ||||
\(50\) | −3.44362e6 | − | 9.84129e6i | −0.550979 | − | 1.57461i | ||||
\(51\) | −1.68140e6 | − | 383770.i | −0.248537 | − | 0.0567270i | ||||
\(52\) | −640850. | − | 803600.i | −0.0876482 | − | 0.109907i | ||||
\(53\) | 8.59706e6 | − | 1.07804e7i | 1.08955 | − | 1.36625i | 0.164511 | − | 0.986375i | \(-0.447395\pi\) |
0.925038 | − | 0.379876i | \(-0.124033\pi\) | |||||||
\(54\) | −719160. | − | 3.15084e6i | −0.0845766 | − | 0.370554i | ||||
\(55\) | −909744. | − | 1.44785e6i | −0.0994188 | − | 0.158224i | ||||
\(56\) | −127456. | − | 1.13120e6i | −0.0129601 | − | 0.115024i | ||||
\(57\) | 2.54281e7i | 2.40887i | ||||||||
\(58\) | 1.30596e7 | − | 7.85765e6i | 1.15403 | − | 0.694354i | ||||
\(59\) | 9.44114e6 | 0.779142 | 0.389571 | − | 0.920997i | \(-0.372623\pi\) | ||||
0.389571 | + | 0.920997i | \(0.372623\pi\) | |||||||
\(60\) | −2.09770e7 | + | 2.36354e6i | −1.61859 | + | 0.182372i | ||||
\(61\) | −1.14038e7 | + | 7.16550e6i | −0.823628 | + | 0.517520i | −0.876681 | − | 0.481072i | \(-0.840248\pi\) |
0.0530531 | + | 0.998592i | \(0.483105\pi\) | |||||||
\(62\) | −1.06919e7 | + | 2.44036e6i | −0.723583 | + | 0.165153i | ||||
\(63\) | −4.48812e6 | − | 3.57915e6i | −0.284906 | − | 0.227205i | ||||
\(64\) | −7.86551e6 | + | 6.27253e6i | −0.468821 | + | 0.373872i | ||||
\(65\) | −1.02648e6 | + | 4.49731e6i | −0.0575040 | + | 0.251941i | ||||
\(66\) | −4.02946e6 | + | 1.40997e6i | −0.212359 | + | 0.0743078i | ||||
\(67\) | 210114. | − | 436306.i | 0.0104269 | − | 0.0216517i | −0.895690 | − | 0.444678i | \(-0.853318\pi\) |
0.906117 | + | 0.423027i | \(0.139032\pi\) | |||||||
\(68\) | −2.80847e6 | − | 1.76468e6i | −0.131351 | − | 0.0825333i | ||||
\(69\) | −3.98142e7 | − | 1.39316e7i | −1.75648 | − | 0.614617i | ||||
\(70\) | 1.58010e7 | − | 1.58010e7i | 0.658101 | − | 0.658101i | ||||
\(71\) | 3.75374e6 | + | 7.79473e6i | 0.147717 | + | 0.306738i | 0.961678 | − | 0.274182i | \(-0.0884071\pi\) |
−0.813961 | + | 0.580920i | \(0.802693\pi\) | |||||||
\(72\) | 594995. | − | 5.28073e6i | 0.0221403 | − | 0.196501i | ||||
\(73\) | −3.47680e7 | − | 3.91741e6i | −1.22430 | − | 0.137946i | −0.523953 | − | 0.851747i | \(-0.675543\pi\) |
−0.700348 | + | 0.713802i | \(0.746972\pi\) | |||||||
\(74\) | 4.43029e7 | − | 2.13352e7i | 1.47743 | − | 0.711490i | ||||
\(75\) | 3.70665e7 | + | 3.70665e7i | 1.17148 | + | 1.17148i | ||||
\(76\) | −1.61518e7 | + | 4.61593e7i | −0.484136 | + | 1.38358i | ||||
\(77\) | 1.07881e6 | − | 1.71692e6i | 0.0306890 | − | 0.0488413i | ||||
\(78\) | 1.03762e7 | + | 4.99691e6i | 0.280323 | + | 0.134997i | ||||
\(79\) | −1.28345e7 | − | 3.66789e7i | −0.329511 | − | 0.941689i | −0.982815 | − | 0.184593i | \(-0.940903\pi\) |
0.653304 | − | 0.757096i | \(-0.273382\pi\) | |||||||
\(80\) | 6.87975e7 | + | 1.57026e7i | 1.67963 | + | 0.383364i | ||||
\(81\) | 3.13072e7 | + | 3.92580e7i | 0.727285 | + | 0.911986i | ||||
\(82\) | 2.97300e7 | − | 3.72802e7i | 0.657566 | − | 0.824561i | ||||
\(83\) | −2.06941e7 | − | 9.06670e7i | −0.436049 | − | 1.91046i | −0.413024 | − | 0.910720i | \(-0.635527\pi\) |
−0.0230253 | − | 0.999735i | \(-0.507330\pi\) | |||||||
\(84\) | −1.33182e7 | − | 2.11959e7i | −0.267504 | − | 0.425730i | ||||
\(85\) | 1.66671e6 | + | 1.47925e7i | 0.0319290 | + | 0.283378i | ||||
\(86\) | 2.12516e7i | 0.388506i | ||||||||
\(87\) | −4.20157e7 | + | 6.40813e7i | −0.733390 | + | 1.11855i | ||||
\(88\) | 1.87711e6 | 0.0313011 | ||||||||
\(89\) | −1.02040e8 | + | 1.14971e7i | −1.62633 | + | 0.183244i | −0.877521 | − | 0.479538i | \(-0.840804\pi\) |
−0.748812 | + | 0.662782i | \(0.769376\pi\) | |||||||
\(90\) | 8.83272e7 | − | 5.54996e7i | 1.34625 | − | 0.845902i | ||||
\(91\) | −5.33310e6 | + | 1.21725e6i | −0.0777704 | + | 0.0177506i | ||||
\(92\) | −6.34250e7 | − | 5.05798e7i | −0.885339 | − | 0.706034i | ||||
\(93\) | 4.31081e7 | − | 3.43776e7i | 0.576271 | − | 0.459561i | ||||
\(94\) | −2.21206e7 | + | 9.69166e7i | −0.283325 | + | 1.24133i | ||||
\(95\) | 2.07163e8 | − | 7.24895e7i | 2.54342 | − | 0.889981i | ||||
\(96\) | 6.40867e7 | − | 1.33077e8i | 0.754541 | − | 1.56682i | ||||
\(97\) | 8.11144e7 | + | 5.09675e7i | 0.916243 | + | 0.575714i | 0.905555 | − | 0.424229i | \(-0.139455\pi\) |
0.0106884 | + | 0.999943i | \(0.496598\pi\) | |||||||
\(98\) | −9.22431e7 | − | 3.22773e7i | −1.00007 | − | 0.349939i | ||||
\(99\) | 6.69339e6 | − | 6.69339e6i | 0.0696796 | − | 0.0696796i | ||||
\(100\) | 4.37419e7 | + | 9.08309e7i | 0.437419 | + | 0.908309i | ||||
\(101\) | −2.37782e6 | + | 2.11037e7i | −0.0228504 | + | 0.202803i | −0.999950 | − | 0.00997872i | \(-0.996824\pi\) |
0.977100 | + | 0.212781i | \(0.0682522\pi\) | |||||||
\(102\) | 3.69308e7 | + | 4.16110e6i | 0.341183 | + | 0.0384421i | ||||
\(103\) | 9.42714e7 | − | 4.53987e7i | 0.837589 | − | 0.403362i | 0.0346331 | − | 0.999400i | \(-0.488974\pi\) |
0.802956 | + | 0.596038i | \(0.203259\pi\) | |||||||
\(104\) | −3.58076e6 | − | 3.58076e6i | −0.0306085 | − | 0.0306085i | ||||
\(105\) | −3.71059e7 | + | 1.06043e8i | −0.305272 | + | 0.872416i | ||||
\(106\) | −1.58084e8 | + | 2.51589e8i | −1.25217 | + | 1.99282i | ||||
\(107\) | −2.03209e8 | − | 9.78602e7i | −1.55027 | − | 0.746571i | −0.553972 | − | 0.832535i | \(-0.686888\pi\) |
−0.996298 | + | 0.0859648i | \(0.972603\pi\) | |||||||
\(108\) | 1.03211e7 | + | 2.94960e7i | 0.0758631 | + | 0.216804i | ||||
\(109\) | −8.75303e7 | − | 1.99782e7i | −0.620087 | − | 0.141531i | −0.0990748 | − | 0.995080i | \(-0.531588\pi\) |
−0.521012 | + | 0.853549i | \(0.674445\pi\) | |||||||
\(110\) | 2.29741e7 | + | 2.88087e7i | 0.156916 | + | 0.196767i | ||||
\(111\) | −1.54140e8 | + | 1.93285e8i | −1.01537 | + | 1.27323i | ||||
\(112\) | 1.86208e7 | + | 8.15830e7i | 0.118338 | + | 0.518475i | ||||
\(113\) | −1.29475e8 | − | 2.06058e8i | −0.794095 | − | 1.26380i | −0.960650 | − | 0.277763i | \(-0.910407\pi\) |
0.166555 | − | 0.986032i | \(-0.446736\pi\) | |||||||
\(114\) | −6.13510e7 | − | 5.44506e8i | −0.363247 | − | 3.22391i | ||||
\(115\) | 3.64084e8i | 2.08166i | ||||||||
\(116\) | −1.16975e8 | + | 8.96378e7i | −0.646042 | + | 0.495062i | ||||
\(117\) | −2.55364e7 | −0.136275 | ||||||||
\(118\) | −2.02168e8 | + | 2.27789e7i | −1.04276 | + | 0.117491i | ||||
\(119\) | −1.49468e7 | + | 9.39172e6i | −0.0745352 | + | 0.0468336i | ||||
\(120\) | −1.01395e8 | + | 2.31428e7i | −0.488981 | + | 0.111607i | ||||
\(121\) | −1.64978e8 | − | 1.31566e8i | −0.769636 | − | 0.613764i | ||||
\(122\) | 2.26908e8 | − | 1.80953e8i | 1.02426 | − | 0.816821i | ||||
\(123\) | −5.33456e7 | + | 2.33722e8i | −0.233066 | + | 1.02113i | ||||
\(124\) | 1.00090e8 | − | 3.50231e7i | 0.423355 | − | 0.148138i | ||||
\(125\) | 3.78224e7 | − | 7.85391e7i | 0.154921 | − | 0.321696i | ||||
\(126\) | 1.04742e8 | + | 6.58138e7i | 0.415565 | + | 0.261117i | ||||
\(127\) | 1.95361e8 | + | 6.83599e7i | 0.750973 | + | 0.262777i | 0.678507 | − | 0.734594i | \(-0.262627\pi\) |
0.0724659 | + | 0.997371i | \(0.476913\pi\) | |||||||
\(128\) | −9.34956e7 | + | 9.34956e7i | −0.348298 | + | 0.348298i | ||||
\(129\) | −4.63583e7 | − | 9.62640e7i | −0.167405 | − | 0.347620i | ||||
\(130\) | 1.11298e7 | − | 9.87801e7i | 0.0389687 | − | 0.345857i | ||||
\(131\) | 3.86813e8 | + | 4.35834e7i | 1.31346 | + | 0.147991i | 0.740756 | − | 0.671774i | \(-0.234467\pi\) |
0.572700 | + | 0.819765i | \(0.305896\pi\) | |||||||
\(132\) | 3.71902e7 | − | 1.79099e7i | 0.122499 | − | 0.0589925i | ||||
\(133\) | 1.84037e8 | + | 1.84037e8i | 0.588166 | + | 0.588166i | ||||
\(134\) | −3.44660e6 | + | 9.84982e6i | −0.0106899 | + | 0.0305499i | ||||
\(135\) | 7.46167e7 | − | 1.18752e8i | 0.224647 | − | 0.357524i | ||||
\(136\) | −1.47231e7 | − | 7.09028e6i | −0.0430372 | − | 0.0207256i | ||||
\(137\) | −7.13136e7 | − | 2.03803e8i | −0.202437 | − | 0.578532i | 0.797247 | − | 0.603653i | \(-0.206289\pi\) |
−0.999684 | + | 0.0251207i | \(0.992003\pi\) | |||||||
\(138\) | 8.86178e8 | + | 2.02264e8i | 2.44346 | + | 0.557703i | ||||
\(139\) | −1.74155e8 | − | 2.18383e8i | −0.466527 | − | 0.585006i | 0.491790 | − | 0.870714i | \(-0.336343\pi\) |
−0.958317 | + | 0.285708i | \(0.907771\pi\) | |||||||
\(140\) | −1.34716e8 | + | 1.68929e8i | −0.350677 | + | 0.439735i | ||||
\(141\) | −1.11214e8 | − | 4.87260e8i | −0.281373 | − | 1.23278i | ||||
\(142\) | −9.91876e7 | − | 1.57856e8i | −0.243952 | − | 0.388247i | ||||
\(143\) | −1.00995e6 | − | 8.96351e6i | −0.00241520 | − | 0.0214355i | ||||
\(144\) | 3.90643e8i | 0.908510i | ||||||||
\(145\) | 6.41849e8 | + | 1.59622e8i | 1.45198 | + | 0.361095i | ||||
\(146\) | 7.53958e8 | 1.65934 | ||||||||
\(147\) | 4.88246e8 | − | 5.50122e7i | 1.04561 | − | 0.117812i | ||||
\(148\) | −4.02582e8 | + | 2.52959e8i | −0.839089 | + | 0.527234i | ||||
\(149\) | 1.64110e8 | − | 3.74571e7i | 0.332959 | − | 0.0759958i | −0.0527731 | − | 0.998607i | \(-0.516806\pi\) |
0.385732 | + | 0.922611i | \(0.373949\pi\) | |||||||
\(150\) | −8.83157e8 | − | 7.04294e8i | −1.74451 | − | 1.39120i | ||||
\(151\) | −5.16816e7 | + | 4.12147e7i | −0.0994096 | + | 0.0792765i | −0.671933 | − | 0.740612i | \(-0.734536\pi\) |
0.572524 | + | 0.819888i | \(0.305964\pi\) | |||||||
\(152\) | −5.36135e7 | + | 2.34896e8i | −0.100438 | + | 0.440050i | ||||
\(153\) | −7.77819e7 | + | 2.72171e7i | −0.141943 | + | 0.0496679i | ||||
\(154\) | −1.89588e7 | + | 3.93683e7i | −0.0337076 | + | 0.0699945i | ||||
\(155\) | −4.02966e8 | − | 2.53200e8i | −0.698139 | − | 0.438670i | ||||
\(156\) | −1.05108e8 | − | 3.67789e7i | −0.177475 | − | 0.0621013i | ||||
\(157\) | −1.36709e8 | + | 1.36709e8i | −0.225008 | + | 0.225008i | −0.810604 | − | 0.585595i | \(-0.800861\pi\) |
0.585595 | + | 0.810604i | \(0.300861\pi\) | |||||||
\(158\) | 3.63328e8 | + | 7.54459e8i | 0.583003 | + | 1.21062i | ||||
\(159\) | 1.67260e8 | − | 1.48447e9i | 0.261700 | − | 2.32265i | ||||
\(160\) | −1.26688e9 | − | 1.42743e8i | −1.93311 | − | 0.217809i | ||||
\(161\) | −3.88989e8 | + | 1.87327e8i | −0.578941 | + | 0.278803i | ||||
\(162\) | −7.65118e8 | − | 7.65118e8i | −1.11088 | − | 1.11088i | ||||
\(163\) | −3.18231e8 | + | 9.09451e8i | −0.450808 | + | 1.28833i | 0.464498 | + | 0.885574i | \(0.346235\pi\) |
−0.915305 | + | 0.402760i | \(0.868051\pi\) | |||||||
\(164\) | −2.45298e8 | + | 3.90389e8i | −0.339092 | + | 0.539662i | ||||
\(165\) | −1.66910e8 | − | 8.03797e7i | −0.225189 | − | 0.108445i | ||||
\(166\) | 6.61890e8 | + | 1.89157e9i | 0.871673 | + | 2.49110i | ||||
\(167\) | −6.86376e7 | − | 1.56661e7i | −0.0882463 | − | 0.0201416i | 0.178170 | − | 0.984000i | \(-0.442982\pi\) |
−0.266416 | + | 0.963858i | \(0.585840\pi\) | |||||||
\(168\) | −7.68955e7 | − | 9.64239e7i | −0.0965304 | − | 0.121045i | ||||
\(169\) | 4.93428e8 | − | 6.18739e8i | 0.604890 | − | 0.758509i | ||||
\(170\) | −7.13805e7 | − | 3.12739e8i | −0.0854642 | − | 0.374443i | ||||
\(171\) | 6.46415e8 | + | 1.02876e9i | 0.756010 | + | 1.20318i | ||||
\(172\) | −2.30071e7 | − | 2.04194e8i | −0.0262874 | − | 0.233307i | ||||
\(173\) | 9.17622e8i | 1.02442i | 0.858859 | + | 0.512212i | \(0.171174\pi\) | ||||
−0.858859 | + | 0.512212i | \(0.828826\pi\) | |||||||
\(174\) | 7.45096e8 | − | 1.47358e9i | 0.812859 | − | 1.60760i | ||||
\(175\) | 5.36543e8 | 0.572074 | ||||||||
\(176\) | −1.37119e8 | + | 1.54496e7i | −0.142905 | + | 0.0161015i | ||||
\(177\) | 8.66079e8 | − | 5.44194e8i | 0.882398 | − | 0.554448i | ||||
\(178\) | 2.15730e9 | − | 4.92389e8i | 2.14897 | − | 0.490488i | ||||
\(179\) | −1.03522e9 | − | 8.25563e8i | −1.00837 | − | 0.804152i | −0.0276643 | − | 0.999617i | \(-0.508807\pi\) |
−0.980711 | + | 0.195465i | \(0.937378\pi\) | |||||||
\(180\) | −7.88598e8 | + | 6.28886e8i | −0.751218 | + | 0.599076i | ||||
\(181\) | 3.18897e8 | − | 1.39718e9i | 0.297122 | − | 1.30178i | −0.577268 | − | 0.816555i | \(-0.695881\pi\) |
0.874390 | − | 0.485224i | \(-0.161262\pi\) | |||||||
\(182\) | 1.11264e8 | − | 3.89329e7i | 0.101407 | − | 0.0354839i | ||||
\(183\) | −6.33101e8 | + | 1.31465e9i | −0.564506 | + | 1.17221i | ||||
\(184\) | −3.38417e8 | − | 2.12642e8i | −0.295244 | − | 0.185514i | ||||
\(185\) | 2.01412e9 | + | 7.04770e8i | 1.71948 | + | 0.601673i | ||||
\(186\) | −8.40154e8 | + | 8.40154e8i | −0.701952 | + | 0.701952i | ||||
\(187\) | −1.26296e7 | − | 2.62257e7i | −0.0103282 | − | 0.0214467i | ||||
\(188\) | 1.07621e8 | − | 9.55161e8i | 0.0861519 | − | 0.764619i | ||||
\(189\) | 1.65267e8 | + | 1.86211e7i | 0.129521 | + | 0.0145935i | ||||
\(190\) | −4.26121e9 | + | 2.05209e9i | −3.26978 | + | 1.57464i | ||||
\(191\) | −3.27414e8 | − | 3.27414e8i | −0.246016 | − | 0.246016i | 0.573317 | − | 0.819333i | \(-0.305656\pi\) |
−0.819333 | + | 0.573317i | \(0.805656\pi\) | |||||||
\(192\) | −3.59986e8 | + | 1.02878e9i | −0.264899 | + | 0.757039i | ||||
\(193\) | −2.20908e7 | + | 3.51572e7i | −0.0159214 | + | 0.0253388i | −0.854590 | − | 0.519303i | \(-0.826192\pi\) |
0.838669 | + | 0.544642i | \(0.183334\pi\) | |||||||
\(194\) | −1.85992e9 | − | 8.95690e8i | −1.31307 | − | 0.632340i | ||||
\(195\) | 1.65064e8 | + | 4.71726e8i | 0.114160 | + | 0.326251i | ||||
\(196\) | 9.21252e8 | + | 2.10270e8i | 0.624244 | + | 0.142480i | ||||
\(197\) | 1.49913e8 | + | 1.87985e8i | 0.0995348 | + | 0.124813i | 0.829104 | − | 0.559094i | \(-0.188851\pi\) |
−0.729569 | + | 0.683907i | \(0.760280\pi\) | |||||||
\(198\) | −1.27180e8 | + | 1.59479e8i | −0.0827481 | + | 0.103763i | ||||
\(199\) | −5.90253e8 | − | 2.58607e9i | −0.376380 | − | 1.64903i | −0.708442 | − | 0.705769i | \(-0.750601\pi\) |
0.332062 | − | 0.943258i | \(-0.392256\pi\) | |||||||
\(200\) | 2.64256e8 | + | 4.20561e8i | 0.165160 | + | 0.262850i | ||||
\(201\) | −5.87426e6 | − | 5.21355e7i | −0.00359889 | − | 0.0319411i | ||||
\(202\) | − | 4.57643e8i | − | 0.274866i | ||||||
\(203\) | 1.59701e8 | + | 7.67885e8i | 0.0940425 | + | 0.452181i | ||||
\(204\) | −3.59351e8 | −0.207490 | ||||||||
\(205\) | 2.05622e9 | − | 2.31680e8i | 1.16427 | − | 0.131182i | ||||
\(206\) | −1.90915e9 | + | 1.19960e9i | −1.06016 | + | 0.666143i | ||||
\(207\) | −1.96496e9 | + | 4.48489e8i | −1.07022 | + | 0.244270i | ||||
\(208\) | 2.91038e8 | + | 2.32095e8i | 0.155488 | + | 0.123997i | ||||
\(209\) | −3.35540e8 | + | 2.67584e8i | −0.175857 | + | 0.140241i | ||||
\(210\) | 5.38718e8 | − | 2.36028e9i | 0.277003 | − | 1.21363i | ||||
\(211\) | −2.88675e8 | + | 1.01012e8i | −0.145640 | + | 0.0509616i | −0.402115 | − | 0.915589i | \(-0.631725\pi\) |
0.256475 | + | 0.966551i | \(0.417439\pi\) | |||||||
\(212\) | 1.24656e9 | − | 2.58851e9i | 0.617120 | − | 1.28146i | ||||
\(213\) | 7.93642e8 | + | 4.98678e8i | 0.385573 | + | 0.242271i | ||||
\(214\) | 4.58753e9 | + | 1.60525e9i | 2.18738 | + | 0.765397i | ||||
\(215\) | −6.52109e8 | + | 6.52109e8i | −0.305187 | + | 0.305187i | ||||
\(216\) | 6.68007e7 | + | 1.38713e8i | 0.0306878 | + | 0.0637239i | ||||
\(217\) | 6.31879e7 | − | 5.60808e8i | 0.0284967 | − | 0.252915i | ||||
\(218\) | 1.92254e9 | + | 2.16618e8i | 0.851234 | + | 0.0959111i | ||||
\(219\) | −3.41523e9 | + | 1.64469e9i | −1.48472 | + | 0.715002i | ||||
\(220\) | −2.51933e8 | − | 2.51933e8i | −0.107546 | − | 0.107546i | ||||
\(221\) | −2.59357e7 | + | 7.41200e7i | −0.0108725 | + | 0.0310718i | ||||
\(222\) | 2.83434e9 | − | 4.51082e9i | 1.16692 | − | 1.85714i | ||||
\(223\) | −3.01789e9 | − | 1.45334e9i | −1.22035 | − | 0.587689i | −0.290940 | − | 0.956741i | \(-0.593968\pi\) |
−0.929409 | + | 0.369052i | \(0.879682\pi\) | |||||||
\(224\) | −4.99325e8 | − | 1.42699e9i | −0.198331 | − | 0.566798i | ||||
\(225\) | 2.44191e9 | + | 5.57350e8i | 0.952795 | + | 0.217469i | ||||
\(226\) | 3.26969e9 | + | 4.10006e9i | 1.25335 | + | 1.57165i | ||||
\(227\) | 3.01448e8 | − | 3.78004e8i | 0.113530 | − | 0.142362i | −0.721820 | − | 0.692081i | \(-0.756694\pi\) |
0.835349 | + | 0.549720i | \(0.185265\pi\) | |||||||
\(228\) | 1.17897e9 | + | 5.16541e9i | 0.436278 | + | 1.91146i | ||||
\(229\) | 1.07064e9 | + | 1.70391e9i | 0.389315 | + | 0.619591i | 0.982673 | − | 0.185347i | \(-0.0593411\pi\) |
−0.593358 | + | 0.804939i | \(0.702198\pi\) | |||||||
\(230\) | −8.78435e8 | − | 7.79633e9i | −0.313905 | − | 2.78598i | ||||
\(231\) | − | 2.19685e8i | − | 0.0771528i | ||||||
\(232\) | −5.23239e8 | + | 5.03375e8i | −0.180613 | + | 0.173756i | ||||
\(233\) | 2.92256e9 | 0.991608 | 0.495804 | − | 0.868434i | \(-0.334873\pi\) | ||||
0.495804 | + | 0.868434i | \(0.334873\pi\) | |||||||
\(234\) | 5.46826e8 | − | 6.16125e7i | 0.182384 | − | 0.0205497i | ||||
\(235\) | −3.65268e9 | + | 2.29513e9i | −1.19768 | + | 0.752551i | ||||
\(236\) | 1.91785e9 | − | 4.37738e8i | 0.618255 | − | 0.141113i | ||||
\(237\) | −3.29156e9 | − | 2.62493e9i | −1.04330 | − | 0.832003i | ||||
\(238\) | 2.97406e8 | − | 2.37173e8i | 0.0926918 | − | 0.0739192i | ||||
\(239\) | −5.34538e8 | + | 2.34197e9i | −0.163828 | + | 0.717776i | 0.824554 | + | 0.565783i | \(0.191426\pi\) |
−0.988382 | + | 0.151993i | \(0.951431\pi\) | |||||||
\(240\) | 7.21622e9 | − | 2.52506e9i | 2.17503 | − | 0.761075i | ||||
\(241\) | −1.40013e9 | + | 2.90741e9i | −0.415051 | + | 0.861862i | 0.583704 | + | 0.811967i | \(0.301603\pi\) |
−0.998754 | + | 0.0498950i | \(0.984111\pi\) | |||||||
\(242\) | 3.85021e9 | + | 2.41925e9i | 1.12259 | + | 0.705373i | ||||
\(243\) | 4.20603e9 | + | 1.47175e9i | 1.20628 | + | 0.422095i | ||||
\(244\) | −1.98432e9 | + | 1.98432e9i | −0.559826 | + | 0.559826i | ||||
\(245\) | −1.84006e9 | − | 3.82093e9i | −0.510703 | − | 1.06049i | ||||
\(246\) | 5.78411e8 | − | 5.13354e9i | 0.157941 | − | 1.40177i | ||||
\(247\) | 1.15051e9 | + | 1.29632e8i | 0.309103 | + | 0.0348276i | ||||
\(248\) | 4.70701e8 | − | 2.26678e8i | 0.124434 | − | 0.0599242i | ||||
\(249\) | −7.12448e9 | − | 7.12448e9i | −1.85334 | − | 1.85334i | ||||
\(250\) | −6.20420e8 | + | 1.77306e9i | −0.158827 | + | 0.453903i | ||||
\(251\) | −2.25443e9 | + | 3.58790e9i | −0.567991 | + | 0.903952i | 0.432007 | + | 0.901870i | \(0.357806\pi\) |
−0.999998 | + | 0.00208179i | \(0.999337\pi\) | |||||||
\(252\) | −1.07765e9 | − | 5.18971e8i | −0.267225 | − | 0.128689i | ||||
\(253\) | −2.35136e8 | − | 6.71980e8i | −0.0573901 | − | 0.164012i | ||||
\(254\) | −4.34832e9 | − | 9.92476e8i | −1.04469 | − | 0.238443i | ||||
\(255\) | 1.00554e9 | + | 1.26091e9i | 0.237816 | + | 0.298211i | ||||
\(256\) | 3.38226e9 | − | 4.24122e9i | 0.787494 | − | 0.987487i | ||||
\(257\) | 5.31442e8 | + | 2.32840e9i | 0.121821 | + | 0.533734i | 0.998603 | + | 0.0528448i | \(0.0168289\pi\) |
−0.876781 | + | 0.480889i | \(0.840314\pi\) | |||||||
\(258\) | 1.22496e9 | + | 1.94951e9i | 0.276466 | + | 0.439993i | ||||
\(259\) | 2.83318e8 | + | 2.51451e9i | 0.0629614 | + | 0.558798i | ||||
\(260\) | 9.61168e8i | 0.210332i | ||||||||
\(261\) | −7.08321e7 | + | 3.66069e9i | −0.0152640 | + | 0.788861i | ||||
\(262\) | −8.38820e9 | −1.78018 | ||||||||
\(263\) | −3.99939e9 | + | 4.50623e8i | −0.835931 | + | 0.0941868i | −0.519544 | − | 0.854444i | \(-0.673898\pi\) |
−0.316387 | + | 0.948630i | \(0.602470\pi\) | |||||||
\(264\) | 1.72196e8 | − | 1.08198e8i | 0.0354493 | − | 0.0222743i | ||||
\(265\) | −1.25709e10 | + | 2.86922e9i | −2.54907 | + | 0.581809i | ||||
\(266\) | −4.38493e9 | − | 3.49687e9i | −0.875863 | − | 0.698477i | ||||
\(267\) | −8.69788e9 | + | 6.93633e9i | −1.71147 | + | 1.36485i | ||||
\(268\) | 2.24528e7 | − | 9.83723e7i | 0.00435243 | − | 0.0190693i | ||||
\(269\) | 7.62086e9 | − | 2.66665e9i | 1.45544 | − | 0.509281i | 0.517382 | − | 0.855755i | \(-0.326907\pi\) |
0.938060 | + | 0.346474i | \(0.112621\pi\) | |||||||
\(270\) | −1.31129e9 | + | 2.72293e9i | −0.246743 | + | 0.512367i | ||||
\(271\) | 1.67219e8 | + | 1.05071e8i | 0.0310034 | + | 0.0194807i | 0.547445 | − | 0.836842i | \(-0.315601\pi\) |
−0.516441 | + | 0.856323i | \(0.672744\pi\) | |||||||
\(272\) | 1.13385e9 | + | 3.96750e8i | 0.207147 | + | 0.0724839i | ||||
\(273\) | −4.19067e8 | + | 4.19067e8i | −0.0754455 | + | 0.0754455i | ||||
\(274\) | 2.01880e9 | + | 4.19208e9i | 0.358171 | + | 0.743751i | ||||
\(275\) | −9.90592e7 | + | 8.79175e8i | −0.0173206 | + | 0.153725i | ||||
\(276\) | −8.73372e9 | − | 9.84054e8i | −1.50509 | − | 0.169583i | ||||
\(277\) | 7.47472e9 | − | 3.59964e9i | 1.26963 | − | 0.611420i | 0.326923 | − | 0.945051i | \(-0.393988\pi\) |
0.942704 | + | 0.333631i | \(0.108274\pi\) | |||||||
\(278\) | 4.25618e9 | + | 4.25618e9i | 0.712591 | + | 0.712591i | ||||
\(279\) | 8.70136e8 | − | 2.48671e9i | 0.143605 | − | 0.410400i | ||||
\(280\) | −5.66357e8 | + | 9.01352e8i | −0.0921422 | + | 0.146643i | ||||
\(281\) | 1.82393e9 | + | 8.78359e8i | 0.292539 | + | 0.140879i | 0.574397 | − | 0.818577i | \(-0.305237\pi\) |
−0.281858 | + | 0.959456i | \(0.590951\pi\) | |||||||
\(282\) | 3.55712e9 | + | 1.01657e10i | 0.562473 | + | 1.60746i | ||||
\(283\) | 9.30412e9 | + | 2.12360e9i | 1.45054 | + | 0.331076i | 0.873973 | − | 0.485974i | \(-0.161535\pi\) |
0.576566 | + | 0.817050i | \(0.304392\pi\) | |||||||
\(284\) | 1.12393e9 | + | 1.40936e9i | 0.172769 | + | 0.216646i | ||||
\(285\) | 1.48257e10 | − | 1.85908e10i | 2.24717 | − | 2.81786i | ||||
\(286\) | 4.32531e7 | + | 1.89504e8i | 0.00646477 | + | 0.0283240i | ||||
\(287\) | 1.30549e9 | + | 2.07768e9i | 0.192418 | + | 0.306232i | ||||
\(288\) | −7.90196e8 | − | 7.01319e9i | −0.114859 | − | 1.01940i | ||||
\(289\) | − | 6.72235e9i | − | 0.963673i | ||||||
\(290\) | −1.41294e10 | − | 1.86947e9i | −1.99771 | − | 0.264318i | ||||
\(291\) | 1.03788e10 | 1.44736 | ||||||||
\(292\) | −7.24433e9 | + | 8.16240e8i | −0.996476 | + | 0.112276i | ||||
\(293\) | −1.27677e8 | + | 8.02247e7i | −0.0173237 | + | 0.0108852i | −0.540666 | − | 0.841237i | \(-0.681828\pi\) |
0.523342 | + | 0.852123i | \(0.324685\pi\) | |||||||
\(294\) | −1.03224e10 | + | 2.35601e9i | −1.38162 | + | 0.315347i | ||||
\(295\) | −6.90255e9 | − | 5.50460e9i | −0.911427 | − | 0.726839i | ||||
\(296\) | −1.83142e9 | + | 1.46051e9i | −0.238573 | + | 0.190256i | ||||
\(297\) | −6.10248e7 | + | 2.67367e8i | −0.00784297 | + | 0.0343623i | ||||
\(298\) | −3.42381e9 | + | 1.19804e9i | −0.434155 | + | 0.151918i | ||||
\(299\) | −8.33318e8 | + | 1.73040e9i | −0.104262 | + | 0.216502i | ||||
\(300\) | 9.24820e9 | + | 5.81103e9i | 1.14175 | + | 0.717411i | ||||
\(301\) | −1.03224e9 | − | 3.61196e8i | −0.125752 | − | 0.0440025i | ||||
\(302\) | 1.00725e9 | − | 1.00725e9i | 0.121090 | − | 0.121090i | ||||
\(303\) | 9.98304e8 | + | 2.07300e9i | 0.118438 | + | 0.245940i | ||||
\(304\) | 1.98303e9 | − | 1.75999e10i | 0.232186 | − | 2.06071i | ||||
\(305\) | 1.25153e10 | + | 1.41014e9i | 1.44625 | + | 0.162953i | ||||
\(306\) | 1.59992e9 | − | 7.70481e8i | 0.182479 | − | 0.0878772i | ||||
\(307\) | 7.38884e9 | + | 7.38884e9i | 0.831807 | + | 0.831807i | 0.987764 | − | 0.155957i | \(-0.0498461\pi\) |
−0.155957 | + | 0.987764i | \(0.549846\pi\) | |||||||
\(308\) | 1.39543e8 | − | 3.98791e8i | 0.0155062 | − | 0.0443142i | ||||
\(309\) | 6.03114e9 | − | 9.59850e9i | 0.661554 | − | 1.05286i | ||||
\(310\) | 9.23985e9 | + | 4.44968e9i | 1.00050 | + | 0.481816i | ||||
\(311\) | −3.04845e9 | − | 8.71197e9i | −0.325865 | − | 0.931268i | −0.983969 | − | 0.178341i | \(-0.942927\pi\) |
0.658104 | − | 0.752927i | \(-0.271359\pi\) | |||||||
\(312\) | −5.34876e8 | − | 1.22082e8i | −0.0564463 | − | 0.0128835i | ||||
\(313\) | 3.83088e9 | + | 4.80377e9i | 0.399136 | + | 0.500501i | 0.940267 | − | 0.340437i | \(-0.110575\pi\) |
−0.541131 | + | 0.840938i | \(0.682004\pi\) | |||||||
\(314\) | 2.59759e9 | − | 3.25727e9i | 0.267209 | − | 0.335070i | ||||
\(315\) | 1.19452e9 | + | 5.23354e9i | 0.121325 | + | 0.531561i | ||||
\(316\) | −4.30779e9 | − | 6.85580e9i | −0.432022 | − | 0.687559i | ||||
\(317\) | 3.41064e8 | + | 3.02703e9i | 0.0337753 | + | 0.299764i | 0.999231 | + | 0.0391985i | \(0.0124805\pi\) |
−0.965456 | + | 0.260566i | \(0.916091\pi\) | |||||||
\(318\) | 3.21914e10i | 3.14798i | ||||||||
\(319\) | −1.28773e9 | + | 1.19915e8i | −0.124355 | + | 0.0115800i | ||||
\(320\) | 9.40775e9 | 0.897193 | ||||||||
\(321\) | −2.42820e10 | + | 2.73592e9i | −2.28699 | + | 0.257682i | ||||
\(322\) | 7.87768e9 | − | 4.94987e9i | 0.732782 | − | 0.460437i | ||||
\(323\) | 3.64253e9 | − | 8.31384e8i | 0.334652 | − | 0.0763821i | ||||
\(324\) | 8.17988e9 | + | 6.52324e9i | 0.742279 | + | 0.591947i | ||||
\(325\) | 1.86607e9 | − | 1.48814e9i | 0.167260 | − | 0.133386i | ||||
\(326\) | 4.62019e9 | − | 2.02424e10i | 0.409063 | − | 1.79222i | ||||
\(327\) | −9.18112e9 | + | 3.21261e9i | −0.802980 | + | 0.280975i | ||||
\(328\) | −9.85579e8 | + | 2.04658e9i | −0.0851523 | + | 0.176820i | ||||
\(329\) | −4.33150e9 | − | 2.72166e9i | −0.369705 | − | 0.232301i | ||||
\(330\) | 3.76807e9 | + | 1.31851e9i | 0.317734 | + | 0.111180i | ||||
\(331\) | 1.22073e10 | − | 1.22073e10i | 1.01697 | − | 1.01697i | 0.0171115 | − | 0.999854i | \(-0.494553\pi\) |
0.999854 | − | 0.0171115i | \(-0.00544702\pi\) | |||||||
\(332\) | −8.40754e9 | − | 1.74584e10i | −0.692016 | − | 1.43699i | ||||
\(333\) | −1.32259e9 | + | 1.17383e10i | −0.107560 | + | 0.954618i | ||||
\(334\) | 1.50757e9 | + | 1.69863e8i | 0.121142 | + | 0.0136494i | ||||
\(335\) | −4.08003e8 | + | 1.96484e8i | −0.0323955 | + | 0.0156008i | ||||
\(336\) | 6.41067e9 | + | 6.41067e9i | 0.502975 | + | 0.502975i | ||||
\(337\) | 2.56462e9 | − | 7.32927e9i | 0.198840 | − | 0.568252i | −0.800685 | − | 0.599086i | \(-0.795531\pi\) |
0.999525 | + | 0.0308342i | \(0.00981639\pi\) | |||||||
\(338\) | −9.07320e9 | + | 1.44399e10i | −0.695174 | + | 1.10636i | ||||
\(339\) | −2.37547e10 | − | 1.14397e10i | −1.79867 | − | 0.866192i | ||||
\(340\) | 1.02443e9 | + | 2.92764e9i | 0.0766593 | + | 0.219080i | ||||
\(341\) | 9.07269e8 | + | 2.07078e8i | 0.0670994 | + | 0.0153150i | ||||
\(342\) | −1.63242e10 | − | 2.04699e10i | −1.19324 | − | 1.49627i | ||||
\(343\) | 7.12134e9 | − | 8.92988e9i | 0.514500 | − | 0.645162i | ||||
\(344\) | −2.25276e8 | − | 9.86999e8i | −0.0160872 | − | 0.0704828i | ||||
\(345\) | 2.09860e10 | + | 3.33991e10i | 1.48134 | + | 2.35753i | ||||
\(346\) | −2.21397e9 | − | 1.96496e10i | −0.154479 | − | 1.37104i | ||||
\(347\) | 2.82795e10i | 1.95053i | 0.221028 | + | 0.975267i | \(0.429059\pi\) | ||||
−0.221028 | + | 0.975267i | \(0.570941\pi\) | |||||||
\(348\) | −5.56386e9 | + | 1.49654e10i | −0.379367 | + | 1.02040i | ||||
\(349\) | −1.03125e10 | −0.695124 | −0.347562 | − | 0.937657i | \(-0.612990\pi\) | ||||
−0.347562 | + | 0.937657i | \(0.612990\pi\) | |||||||
\(350\) | −1.14893e10 | + | 1.29453e9i | −0.765634 | + | 0.0862662i | ||||
\(351\) | 6.26436e8 | − | 3.93616e8i | 0.0412713 | − | 0.0259325i | ||||
\(352\) | 2.43044e9 | − | 5.54732e8i | 0.158312 | − | 0.0361337i | ||||
\(353\) | −2.15415e10 | − | 1.71788e10i | −1.38732 | − | 1.10635i | −0.981298 | − | 0.192493i | \(-0.938343\pi\) |
−0.406026 | − | 0.913861i | \(-0.633086\pi\) | |||||||
\(354\) | −1.72329e10 | + | 1.37427e10i | −1.09735 | + | 0.875105i | ||||
\(355\) | 1.80026e9 | − | 7.88744e9i | 0.113350 | − | 0.496618i | ||||
\(356\) | −2.01951e10 | + | 7.06657e9i | −1.25732 | + | 0.439955i | ||||
\(357\) | −8.29798e8 | + | 1.72309e9i | −0.0510857 | + | 0.106081i | ||||
\(358\) | 2.41597e10 | + | 1.51805e10i | 1.47082 | + | 0.924177i | ||||
\(359\) | 1.68278e10 | + | 5.88831e9i | 1.01309 | + | 0.354497i | 0.785236 | − | 0.619197i | \(-0.212542\pi\) |
0.227859 | + | 0.973694i | \(0.426828\pi\) | |||||||
\(360\) | −3.51391e9 | + | 3.51391e9i | −0.209209 | + | 0.209209i | ||||
\(361\) | −1.65322e10 | − | 3.43295e10i | −0.973423 | − | 2.02133i | ||||
\(362\) | −3.45770e9 | + | 3.06880e10i | −0.201351 | + | 1.78704i | ||||
\(363\) | −2.27178e10 | − | 2.55968e9i | −1.30840 | − | 0.147421i | ||||
\(364\) | −1.02692e9 | + | 4.94538e8i | −0.0584966 | + | 0.0281705i | ||||
\(365\) | 2.31354e10 | + | 2.31354e10i | 1.30348 | + | 1.30348i | ||||
\(366\) | 1.03851e10 | − | 2.96788e10i | 0.578742 | − | 1.65395i | ||||
\(367\) | 2.83656e9 | − | 4.51436e9i | 0.156361 | − | 0.248847i | −0.759352 | − | 0.650680i | \(-0.774484\pi\) |
0.915713 | + | 0.401833i | \(0.131627\pi\) | |||||||
\(368\) | 2.64708e10 | + | 1.27477e10i | 1.44336 | + | 0.695087i | ||||
\(369\) | 3.78329e9 | + | 1.08120e10i | 0.204063 | + | 0.583178i | ||||
\(370\) | −4.48298e10 | − | 1.02321e10i | −2.39200 | − | 0.545957i | ||||
\(371\) | −9.53343e9 | − | 1.19545e10i | −0.503215 | − | 0.631012i | ||||
\(372\) | 7.16298e9 | − | 8.98209e9i | 0.374043 | − | 0.469035i | ||||
\(373\) | −2.63206e9 | − | 1.15318e10i | −0.135976 | − | 0.595748i | −0.996296 | − | 0.0859936i | \(-0.972594\pi\) |
0.860320 | − | 0.509754i | \(-0.170264\pi\) | |||||||
\(374\) | 3.33721e8 | + | 5.31114e8i | 0.0170568 | + | 0.0271457i | ||||
\(375\) | −1.05742e9 | − | 9.38487e9i | −0.0534715 | − | 0.474573i | ||||
\(376\) | − | 4.73564e9i | − | 0.236934i | ||||||
\(377\) | 2.68521e9 | + | 2.22772e9i | 0.132927 | + | 0.110279i | ||||
\(378\) | −3.58388e9 | −0.175544 | ||||||||
\(379\) | 1.10992e10 | − | 1.25058e9i | 0.537940 | − | 0.0606113i | 0.161185 | − | 0.986924i | \(-0.448468\pi\) |
0.376755 | + | 0.926313i | \(0.377040\pi\) | |||||||
\(380\) | 3.87217e10 | − | 2.43305e10i | 1.85704 | − | 1.16685i | ||||
\(381\) | 2.18617e10 | − | 4.98980e9i | 1.03749 | − | 0.236801i | ||||
\(382\) | 7.80106e9 | + | 6.22113e9i | 0.366353 | + | 0.292157i | ||||
\(383\) | −4.25423e9 | + | 3.39264e9i | −0.197709 | + | 0.157668i | −0.717340 | − | 0.696723i | \(-0.754641\pi\) |
0.519631 | + | 0.854391i | \(0.326069\pi\) | |||||||
\(384\) | −3.18763e9 | + | 1.39659e10i | −0.146603 | + | 0.642310i | ||||
\(385\) | −1.78978e9 | + | 6.26270e8i | −0.0814622 | + | 0.0285048i | ||||
\(386\) | 3.88217e8 | − | 8.06141e8i | 0.0174874 | − | 0.0363130i | ||||
\(387\) | −4.32272e9 | − | 2.71614e9i | −0.192714 | − | 0.121090i | ||||
\(388\) | 1.88405e10 | + | 6.59258e9i | 0.831315 | + | 0.290890i | ||||
\(389\) | −1.87688e10 | + | 1.87688e10i | −0.819668 | + | 0.819668i | −0.986060 | − | 0.166392i | \(-0.946788\pi\) |
0.166392 | + | 0.986060i | \(0.446788\pi\) | |||||||
\(390\) | −4.67276e9 | − | 9.70309e9i | −0.201983 | − | 0.419422i | ||||
\(391\) | −6.93933e8 | + | 6.15883e9i | −0.0296900 | + | 0.263506i | ||||
\(392\) | 4.62625e9 | + | 5.21253e8i | 0.195923 | + | 0.0220752i | ||||
\(393\) | 3.79963e10 | − | 1.82981e10i | 1.59284 | − | 0.767070i | ||||
\(394\) | −3.66373e9 | − | 3.66373e9i | −0.152033 | − | 0.152033i | ||||
\(395\) | −1.20019e10 | + | 3.42995e10i | −0.493018 | + | 1.40896i | ||||
\(396\) | 1.04934e9 | − | 1.67002e9i | 0.0426714 | − | 0.0679111i | ||||
\(397\) | −6.42381e9 | − | 3.09354e9i | −0.258601 | − | 0.124536i | 0.300092 | − | 0.953910i | \(-0.402983\pi\) |
−0.558693 | + | 0.829375i | \(0.688697\pi\) | |||||||
\(398\) | 1.88789e10 | + | 5.39528e10i | 0.752393 | + | 2.15022i | ||||
\(399\) | 2.74906e10 | + | 6.27456e9i | 1.08466 | + | 0.247566i | ||||
\(400\) | −2.27647e10 | − | 2.85461e10i | −0.889247 | − | 1.11508i | ||||
\(401\) | −1.79436e10 | + | 2.25006e10i | −0.693957 | + | 0.870195i | −0.996556 | − | 0.0829230i | \(-0.973574\pi\) |
0.302598 | + | 0.953118i | \(0.402146\pi\) | |||||||
\(402\) | 2.51578e8 | + | 1.10223e9i | 0.00963314 | + | 0.0422056i | ||||
\(403\) | −1.33567e9 | − | 2.12571e9i | −0.0506384 | − | 0.0805906i | ||||
\(404\) | 4.95447e8 | + | 4.39721e9i | 0.0185982 | + | 0.165064i | ||||
\(405\) | − | 4.69556e10i | − | 1.74529i | ||||||
\(406\) | −5.27247e9 | − | 1.60578e10i | −0.194048 | − | 0.590994i | ||||
\(407\) | −4.17257e9 | −0.152064 | ||||||||
\(408\) | −1.75931e9 | + | 1.98226e8i | −0.0634894 | + | 0.00715353i | ||||
\(409\) | −4.03209e9 | + | 2.53353e9i | −0.144091 | + | 0.0905383i | −0.602148 | − | 0.798384i | \(-0.705688\pi\) |
0.458057 | + | 0.888923i | \(0.348545\pi\) | |||||||
\(410\) | −4.34720e10 | + | 9.92221e9i | −1.53842 | + | 0.351134i | ||||
\(411\) | −1.82892e10 | − | 1.45852e10i | −0.640957 | − | 0.511146i | ||||
\(412\) | 1.70452e10 | − | 1.35931e10i | 0.591579 | − | 0.471769i | ||||
\(413\) | 2.32967e9 | − | 1.02070e10i | 0.0800745 | − | 0.350829i | ||||
\(414\) | 4.09947e10 | − | 1.43447e10i | 1.39549 | − | 0.488302i | ||||
\(415\) | −3.77331e10 | + | 7.83536e10i | −1.27213 | + | 2.64160i | ||||
\(416\) | −5.69447e9 | − | 3.57807e9i | −0.190143 | − | 0.119475i | ||||
\(417\) | −2.85638e10 | − | 9.99491e9i | −0.944652 | − | 0.330548i | ||||
\(418\) | 6.53950e9 | − | 6.53950e9i | 0.214210 | − | 0.214210i | ||||
\(419\) | −1.80225e10 | − | 3.74240e10i | −0.584733 | − | 1.21421i | −0.958075 | − | 0.286518i | \(-0.907502\pi\) |
0.373342 | − | 0.927694i | \(-0.378212\pi\) | |||||||
\(420\) | −2.62097e9 | + | 2.32617e10i | −0.0842295 | + | 0.747557i | ||||
\(421\) | 1.38732e10 | + | 1.56313e9i | 0.441618 | + | 0.0497584i | 0.329975 | − | 0.943990i | \(-0.392960\pi\) |
0.111644 | + | 0.993748i | \(0.464388\pi\) | |||||||
\(422\) | 5.93786e9 | − | 2.85952e9i | 0.187232 | − | 0.0901661i | ||||
\(423\) | −1.68863e10 | − | 1.68863e10i | −0.527440 | − | 0.527440i | ||||
\(424\) | 4.67502e9 | − | 1.33604e10i | 0.144650 | − | 0.413387i | ||||
\(425\) | 4.09781e9 | − | 6.52162e9i | 0.125602 | − | 0.199894i | ||||
\(426\) | −1.81979e10 | − | 8.76363e9i | −0.552564 | − | 0.266101i | ||||
\(427\) | 4.93274e9 | + | 1.40970e10i | 0.148381 | + | 0.424047i | ||||
\(428\) | −4.58167e10 | − | 1.04574e10i | −1.36536 | − | 0.311636i | ||||
\(429\) | −6.09310e8 | − | 7.64051e8i | −0.0179891 | − | 0.0225576i | ||||
\(430\) | 1.23906e10 | − | 1.55373e10i | 0.362426 | − | 0.454467i | ||||
\(431\) | 4.58017e9 | + | 2.00670e10i | 0.132731 | + | 0.581532i | 0.996924 | + | 0.0783721i | \(0.0249722\pi\) |
−0.864193 | + | 0.503160i | \(0.832171\pi\) | |||||||
\(432\) | −6.02132e9 | − | 9.58288e9i | −0.172885 | − | 0.275145i | ||||
\(433\) | −8.16114e7 | − | 7.24321e8i | −0.00232166 | − | 0.0206053i | 0.992498 | − | 0.122261i | \(-0.0390145\pi\) |
−0.994820 | + | 0.101656i | \(0.967586\pi\) | |||||||
\(434\) | 1.21614e10i | 0.342786i | ||||||||
\(435\) | 6.80805e10 | − | 2.23537e10i | 1.90137 | − | 0.624300i | ||||
\(436\) | −1.87070e10 | −0.517677 | ||||||||
\(437\) | 9.08054e10 | − | 1.02313e10i | 2.48992 | − | 0.280547i | ||||
\(438\) | 6.91641e10 | − | 4.34587e10i | 1.87925 | − | 1.18081i | ||||
\(439\) | 3.56224e10 | − | 8.13058e9i | 0.959102 | − | 0.218909i | 0.285811 | − | 0.958286i | \(-0.407737\pi\) |
0.673291 | + | 0.739377i | \(0.264880\pi\) | |||||||
\(440\) | −1.37239e9 | − | 1.09444e9i | −0.0366155 | − | 0.0291999i | ||||
\(441\) | 1.83549e10 | − | 1.46375e10i | 0.485286 | − | 0.387003i | ||||
\(442\) | 3.76544e8 | − | 1.64975e9i | 0.00986568 | − | 0.0432244i | ||||
\(443\) | −1.80362e9 | + | 6.31112e8i | −0.0468305 | + | 0.0163867i | −0.353593 | − | 0.935399i | \(-0.615040\pi\) |
0.306762 | + | 0.951786i | \(0.400754\pi\) | |||||||
\(444\) | −2.23500e10 | + | 4.64102e10i | −0.575103 | + | 1.19421i | ||||
\(445\) | 8.13061e10 | + | 5.10880e10i | 2.07340 | + | 1.30280i | ||||
\(446\) | 6.81303e10 | + | 2.38398e10i | 1.72187 | + | 0.602509i | ||||
\(447\) | 1.28955e10 | − | 1.28955e10i | 0.323005 | − | 0.323005i | ||||
\(448\) | 4.84045e9 | + | 1.00513e10i | 0.120164 | + | 0.249523i | ||||
\(449\) | −6.31108e9 | + | 5.60124e10i | −0.155281 | + | 1.37816i | 0.638345 | + | 0.769750i | \(0.279619\pi\) |
−0.793626 | + | 0.608406i | \(0.791809\pi\) | |||||||
\(450\) | −5.36347e10 | − | 6.04318e9i | −1.30796 | − | 0.147372i | ||||
\(451\) | −3.64549e9 | + | 1.75558e9i | −0.0881150 | + | 0.0424339i | ||||
\(452\) | −3.58552e10 | − | 3.58552e10i | −0.859010 | − | 0.859010i | ||||
\(453\) | −2.36535e9 | + | 6.75978e9i | −0.0561698 | + | 0.160524i | ||||
\(454\) | −5.54306e9 | + | 8.82172e9i | −0.130475 | + | 0.207649i | ||||
\(455\) | 4.60882e9 | + | 2.21949e9i | 0.107534 | + | 0.0517854i | ||||
\(456\) | 8.62136e9 | + | 2.46384e10i | 0.199396 | + | 0.569841i | ||||
\(457\) | −6.07225e10 | − | 1.38595e10i | −1.39215 | − | 0.317748i | −0.540270 | − | 0.841492i | \(-0.681678\pi\) |
−0.851876 | + | 0.523744i | \(0.824535\pi\) | |||||||
\(458\) | −2.70373e10 | − | 3.39037e10i | −0.614470 | − | 0.770521i | ||||
\(459\) | 1.48855e9 | − | 1.86658e9i | 0.0335361 | − | 0.0420530i | ||||
\(460\) | 1.68807e10 | + | 7.39592e10i | 0.377016 | + | 1.65181i | ||||
\(461\) | −2.79867e10 | − | 4.45406e10i | −0.619652 | − | 0.986170i | −0.998164 | − | 0.0605738i | \(-0.980707\pi\) |
0.378512 | − | 0.925596i | \(-0.376436\pi\) | |||||||
\(462\) | 5.30040e8 | + | 4.70423e9i | 0.0116343 | + | 0.103257i | ||||
\(463\) | 2.02649e10i | 0.440981i | 0.975389 | + | 0.220491i | \(0.0707658\pi\) | ||||
−0.975389 | + | 0.220491i | \(0.929234\pi\) | |||||||
\(464\) | 3.40784e10 | − | 4.10769e10i | 0.735204 | − | 0.886189i | ||||
\(465\) | −5.15606e10 | −1.10282 | ||||||||
\(466\) | −6.25825e10 | + | 7.05135e9i | −1.32712 | + | 0.149530i | ||||
\(467\) | −6.44880e10 | + | 4.05205e10i | −1.35585 | + | 0.851936i | −0.996687 | − | 0.0813389i | \(-0.974080\pi\) |
−0.359162 | + | 0.933275i | \(0.616938\pi\) | |||||||
\(468\) | −5.18742e9 | + | 1.18399e9i | −0.108135 | + | 0.0246812i | ||||
\(469\) | −4.19850e8 | − | 3.34819e8i | −0.00867766 | − | 0.00692020i | ||||
\(470\) | 7.26794e10 | − | 5.79599e10i | 1.48943 | − | 1.18778i | ||||
\(471\) | −4.66095e9 | + | 2.04210e10i | −0.0947089 | + | 0.414947i | ||||
\(472\) | 9.14796e9 | − | 3.20101e9i | 0.184313 | − | 0.0644939i | ||||
\(473\) | 7.82430e8 | − | 1.62473e9i | 0.0156315 | − | 0.0324592i | ||||
\(474\) | 7.68173e10 | + | 4.82675e10i | 1.52176 | + | 0.956184i | ||||
\(475\) | −1.07188e11 | − | 3.75067e10i | −2.10558 | − | 0.736774i | ||||
\(476\) | −2.60083e9 | + | 2.60083e9i | −0.0506621 | + | 0.0506621i | ||||
\(477\) | −3.09703e10 | − | 6.43106e10i | −0.598236 | − | 1.24225i | ||||
\(478\) | 5.79584e9 | − | 5.14395e10i | 0.111021 | − | 0.985339i | ||||
\(479\) | −4.76793e10 | − | 5.37217e9i | −0.905708 | − | 0.102049i | −0.353192 | − | 0.935551i | \(-0.614904\pi\) |
−0.552516 | + | 0.833502i | \(0.686332\pi\) | |||||||
\(480\) | −1.24445e11 | + | 5.99294e10i | −2.34429 | + | 1.12895i | ||||
\(481\) | 7.95953e9 | + | 7.95953e9i | 0.148699 | + | 0.148699i | ||||
\(482\) | 2.29671e10 | − | 6.56361e10i | 0.425517 | − | 1.21606i | ||||
\(483\) | −2.48861e10 | + | 3.96060e10i | −0.457266 | + | 0.727734i | ||||
\(484\) | −3.96134e10 | − | 1.90768e10i | −0.721873 | − | 0.347636i | ||||
\(485\) | −2.95876e10 | − | 8.45564e10i | −0.534739 | − | 1.52820i | ||||
\(486\) | −9.36171e10 | − | 2.13675e10i | −1.67807 | − | 0.383008i | ||||
\(487\) | 1.80271e10 | + | 2.26052e10i | 0.320486 | + | 0.401877i | 0.915812 | − | 0.401607i | \(-0.131548\pi\) |
−0.595326 | + | 0.803485i | \(0.702977\pi\) | |||||||
\(488\) | −8.62024e9 | + | 1.08094e10i | −0.151999 | + | 0.190600i | ||||
\(489\) | 2.32286e10 | + | 1.01771e11i | 0.406245 | + | 1.77987i | ||||
\(490\) | 4.86212e10 | + | 7.73802e10i | 0.843415 | + | 1.34229i | ||||
\(491\) | 2.09071e9 | + | 1.85556e10i | 0.0359723 | + | 0.319263i | 0.998793 | + | 0.0491213i | \(0.0156421\pi\) |
−0.962820 | + | 0.270142i | \(0.912929\pi\) | |||||||
\(492\) | 4.99513e10i | 0.852484i | ||||||||
\(493\) | 1.05533e10 | + | 3.92351e9i | 0.178648 | + | 0.0664182i | ||||
\(494\) | −2.49493e10 | −0.418939 | ||||||||
\(495\) | −8.79618e9 | + | 9.91091e8i | −0.146512 | + | 0.0165079i | ||||
\(496\) | −3.25180e10 | + | 2.04324e10i | −0.537276 | + | 0.337593i | ||||
\(497\) | 9.35326e9 | − | 2.13482e9i | 0.153298 | − | 0.0349893i | ||||
\(498\) | 1.69750e11 | + | 1.35371e11i | 2.75989 | + | 2.20094i | ||||
\(499\) | −2.94013e10 | + | 2.34468e10i | −0.474204 | + | 0.378165i | −0.831229 | − | 0.555930i | \(-0.812362\pi\) |
0.357026 | + | 0.934095i | \(0.383791\pi\) | |||||||
\(500\) | 4.04172e9 | − | 1.77079e10i | 0.0646674 | − | 0.283327i | ||||
\(501\) | −7.19945e9 | + | 2.51920e9i | −0.114274 | + | 0.0399863i | ||||
\(502\) | 3.96187e10 | − | 8.22690e10i | 0.623857 | − | 1.29545i | ||||
\(503\) | −6.48715e10 | − | 4.07615e10i | −1.01340 | − | 0.636763i | −0.0804485 | − | 0.996759i | \(-0.525635\pi\) |
−0.932954 | + | 0.359996i | \(0.882778\pi\) | |||||||
\(504\) | −5.56225e9 | − | 1.94632e9i | −0.0862042 | − | 0.0301642i | ||||
\(505\) | 1.40429e10 | − | 1.40429e10i | 0.215919 | − | 0.215919i | ||||
\(506\) | 6.65641e9 | + | 1.38222e10i | 0.101540 | + | 0.210850i | ||||
\(507\) | 9.59988e9 | − | 8.52013e10i | 0.145289 | − | 1.28948i | ||||
\(508\) | 4.28548e10 | + | 4.82858e9i | 0.643495 | + | 0.0725045i | ||||
\(509\) | 8.10824e10 | − | 3.90472e10i | 1.20797 | − | 0.581727i | 0.282031 | − | 0.959405i | \(-0.408992\pi\) |
0.925937 | + | 0.377678i | \(0.123277\pi\) | |||||||
\(510\) | −2.45745e10 | − | 2.45745e10i | −0.363249 | − | 0.363249i | ||||
\(511\) | −1.28144e10 | + | 3.66215e10i | −0.187938 | + | 0.537097i | ||||
\(512\) | −4.41846e10 | + | 7.03194e10i | −0.642971 | + | 1.02328i | ||||
\(513\) | −3.17145e10 | − | 1.52729e10i | −0.457919 | − | 0.220522i | ||||
\(514\) | −1.69979e10 | − | 4.85771e10i | −0.243524 | − | 0.695951i | ||||
\(515\) | −9.53926e10 | − | 2.17727e10i | −1.35608 | − | 0.309517i | ||||
\(516\) | −1.38804e10 | − | 1.74055e10i | −0.195796 | − | 0.245520i | ||||
\(517\) | 5.25940e9 | − | 6.59508e9i | 0.0736163 | − | 0.0923119i | ||||
\(518\) | −1.21337e10 | − | 5.31611e10i | −0.168529 | − | 0.738372i | ||||
\(519\) | 5.28924e10 | + | 8.41777e10i | 0.728993 | + | 1.16019i | ||||
\(520\) | 5.30203e8 | + | 4.70568e9i | 0.00725152 | + | 0.0643590i | ||||
\(521\) | 5.03959e10i | 0.683981i | 0.939703 | + | 0.341991i | \(0.111101\pi\) | ||||
−0.939703 | + | 0.341991i | \(0.888899\pi\) | |||||||
\(522\) | −7.31548e9 | − | 7.85592e10i | −0.0985282 | − | 1.05807i | ||||
\(523\) | 1.39207e11 | 1.86061 | 0.930305 | − | 0.366786i | \(-0.119542\pi\) | ||||
0.930305 | + | 0.366786i | \(0.119542\pi\) | |||||||
\(524\) | 8.05971e10 | − | 9.08112e9i | 1.06904 | − | 0.120452i | ||||
\(525\) | 4.92195e10 | − | 3.09267e10i | 0.647889 | − | 0.407095i | ||||
\(526\) | 8.45539e10 | − | 1.92989e10i | 1.10456 | − | 0.252109i | ||||
\(527\) | −6.33397e9 | − | 5.05117e9i | −0.0821171 | − | 0.0654862i | ||||
\(528\) | −1.16880e10 | + | 9.32090e9i | −0.150386 | + | 0.119928i | ||||
\(529\) | −1.63051e10 | + | 7.14374e10i | −0.208210 | + | 0.912227i | ||||
\(530\) | 2.62265e11 | − | 9.17703e10i | 3.32381 | − | 1.16305i | ||||
\(531\) | 2.12056e10 | − | 4.40338e10i | 0.266730 | − | 0.553870i | ||||
\(532\) | 4.59179e10 | + | 2.88521e10i | 0.573238 | + | 0.360190i | ||||
\(533\) | 1.03030e10 | + | 3.60517e9i | 0.127660 | + | 0.0446701i | ||||
\(534\) | 1.69517e11 | − | 1.69517e11i | 2.08472 | − | 2.08472i | ||||
\(535\) | 9.15120e10 | + | 1.90027e11i | 1.11703 | + | 2.31953i | ||||
\(536\) | 5.56600e7 | − | 4.93996e8i | 0.000674348 | − | 0.00598501i | ||||
\(537\) | −1.42552e11 | − | 1.60617e10i | −1.71426 | − | 0.193150i | ||||
\(538\) | −1.56756e11 | + | 7.54896e10i | −1.87109 | + | 0.901069i | ||||
\(539\) | 5.86383e9 | + | 5.86383e9i | 0.0694747 | + | 0.0694747i | ||||
\(540\) | 9.65157e9 | − | 2.75826e10i | 0.113507 | − | 0.324385i | ||||
\(541\) | −2.32409e10 | + | 3.69877e10i | −0.271309 | + | 0.431786i | −0.954393 | − | 0.298554i | \(-0.903496\pi\) |
0.683084 | + | 0.730340i | \(0.260638\pi\) | |||||||
\(542\) | −3.83427e9 | − | 1.84649e9i | −0.0444309 | − | 0.0213968i | ||||
\(543\) | −5.12804e10 | − | 1.46551e11i | −0.589864 | − | 1.68573i | ||||
\(544\) | −2.11585e10 | − | 4.82928e9i | −0.241595 | − | 0.0551425i | ||||
\(545\) | 5.23465e10 | + | 6.56404e10i | 0.593337 | + | 0.744021i | ||||
\(546\) | 7.96263e9 | − | 9.98482e9i | 0.0895954 | − | 0.112349i | ||||
\(547\) | 5.37104e9 | + | 2.35321e10i | 0.0599942 | + | 0.262852i | 0.996026 | − | 0.0890639i | \(-0.0283875\pi\) |
−0.936032 | + | 0.351916i | \(0.885530\pi\) | |||||||
\(548\) | −2.39358e10 | − | 3.80936e10i | −0.265415 | − | 0.422406i | ||||
\(549\) | 7.80622e9 | + | 6.92821e10i | 0.0859313 | + | 0.762661i | ||||
\(550\) | − | 1.90653e10i | − | 0.208349i | ||||||
\(551\) | 2.17741e10 | − | 1.64568e11i | 0.236230 | − | 1.78542i | ||||
\(552\) | −4.33014e10 | −0.466386 | ||||||||
\(553\) | −4.28211e10 | + | 4.82477e9i | −0.457885 | + | 0.0515913i | ||||
\(554\) | −1.51376e11 | + | 9.51156e10i | −1.60700 | + | 1.00975i | ||||
\(555\) | 2.25388e11 | − | 5.14433e10i | 2.37552 | − | 0.542196i | ||||
\(556\) | −4.55028e10 | − | 3.62873e10i | −0.476145 | − | 0.379713i | ||||
\(557\) | 6.15322e9 | − | 4.90703e9i | 0.0639266 | − | 0.0509797i | −0.591005 | − | 0.806668i | \(-0.701269\pi\) |
0.654932 | + | 0.755688i | \(0.272697\pi\) | |||||||
\(558\) | −1.26330e10 | + | 5.53486e10i | −0.130307 | + | 0.570913i | ||||
\(559\) | −4.59187e9 | + | 1.60676e9i | −0.0470265 | + | 0.0164553i | ||||
\(560\) | 3.39526e10 | − | 7.05032e10i | 0.345240 | − | 0.716897i | ||||
\(561\) | −2.67024e9 | − | 1.67783e9i | −0.0269587 | − | 0.0169393i | ||||
\(562\) | −4.11761e10 | − | 1.44081e10i | −0.412762 | − | 0.144432i | ||||
\(563\) | 1.03593e11 | − | 1.03593e11i | 1.03109 | − | 1.03109i | 0.0315924 | − | 0.999501i | \(-0.489942\pi\) |
0.999501 | − | 0.0315924i | \(-0.0100579\pi\) | |||||||
\(564\) | −4.51836e10 | − | 9.38247e10i | −0.446544 | − | 0.927258i | ||||
\(565\) | −2.54801e10 | + | 2.26142e11i | −0.250039 | + | 2.21915i | ||||
\(566\) | −2.04358e11 | − | 2.30256e10i | −1.99125 | − | 0.224360i | ||||
\(567\) | 5.01677e10 | − | 2.41595e10i | 0.485391 | − | 0.233752i | ||||
\(568\) | 6.27997e9 | + | 6.27997e9i | 0.0603343 | + | 0.0603343i | ||||
\(569\) | −1.06807e10 | + | 3.05238e10i | −0.101895 | + | 0.291199i | −0.983533 | − | 0.180727i | \(-0.942155\pi\) |
0.881638 | + | 0.471925i | \(0.156441\pi\) | |||||||
\(570\) | −2.72616e11 | + | 4.33866e11i | −2.58257 | + | 4.11014i | ||||
\(571\) | −1.55543e10 | − | 7.49054e9i | −0.146320 | − | 0.0704642i | 0.359291 | − | 0.933226i | \(-0.383019\pi\) |
−0.505611 | + | 0.862761i | \(0.668733\pi\) | |||||||
\(572\) | −6.20751e8 | − | 1.77400e9i | −0.00579874 | − | 0.0165718i | ||||
\(573\) | −4.89075e10 | − | 1.11628e10i | −0.453688 | − | 0.103551i | ||||
\(574\) | −3.29681e10 | − | 4.13407e10i | −0.303701 | − | 0.380829i | ||||
\(575\) | 1.17453e11 | − | 1.47281e11i | 1.07446 | − | 1.34734i | ||||
\(576\) | 1.15887e10 | + | 5.07736e10i | 0.105280 | + | 0.461262i | ||||
\(577\) | −8.16362e10 | − | 1.29923e11i | −0.736511 | − | 1.17215i | −0.979367 | − | 0.202088i | \(-0.935227\pi\) |
0.242856 | − | 0.970062i | \(-0.421916\pi\) | |||||||
\(578\) | 1.62192e10 | + | 1.43950e11i | 0.145318 | + | 1.28973i | ||||
\(579\) | 4.49846e9i | 0.0400267i | ||||||||
\(580\) | 1.37785e11 | + | 2.66606e9i | 1.21756 | + | 0.0235590i | ||||
\(581\) | −1.03128e11 | −0.905047 | ||||||||
\(582\) | −2.22247e11 | + | 2.50412e10i | −1.93706 | + | 0.218255i | ||||
\(583\) | 2.13487e10 | − | 1.34143e10i | 0.184798 | − | 0.116116i | ||||
\(584\) | −3.50165e10 | + | 7.99229e9i | −0.301038 | + | 0.0687100i | ||||
\(585\) | 1.86700e10 | + | 1.48889e10i | 0.159412 | + | 0.127127i | ||||
\(586\) | 2.54046e9 | − | 2.02595e9i | 0.0215438 | − | 0.0171806i | ||||
\(587\) | 2.56021e10 | − | 1.12170e11i | 0.215637 | − | 0.944767i | −0.745023 | − | 0.667039i | \(-0.767561\pi\) |
0.960660 | − | 0.277728i | \(-0.0895814\pi\) | |||||||
\(588\) | 9.66308e10 | − | 3.38126e10i | 0.808362 | − | 0.282858i | ||||
\(589\) | −5.18263e10 | + | 1.07618e11i | −0.430615 | + | 0.894180i | ||||
\(590\) | 1.61089e11 | + | 1.01219e11i | 1.32941 | + | 0.835324i | ||||
\(591\) | 2.45878e10 | + | 8.60365e9i | 0.201544 | + | 0.0705234i | ||||
\(592\) | 1.21761e11 | − | 1.21761e11i | 0.991335 | − | 0.991335i | ||||
\(593\) | 2.52976e10 | + | 5.25311e10i | 0.204579 | + | 0.424813i | 0.977863 | − | 0.209247i | \(-0.0671014\pi\) |
−0.773284 | + | 0.634060i | \(0.781387\pi\) | |||||||
\(594\) | 6.61674e8 | − | 5.87252e9i | 0.00531494 | − | 0.0471714i | ||||
\(595\) | 1.64036e10 | + | 1.84825e9i | 0.130880 | + | 0.0147466i | ||||
\(596\) | 3.16004e10 | − | 1.52179e10i | 0.250442 | − | 0.120606i | ||||
\(597\) | −2.03209e11 | − | 2.03209e11i | −1.59973 | − | 1.59973i | ||||
\(598\) | 1.36693e10 | − | 3.90646e10i | 0.106891 | − | 0.305477i | ||||
\(599\) | 8.25461e9 | − | 1.31371e10i | 0.0641193 | − | 0.102045i | −0.813126 | − | 0.582088i | \(-0.802236\pi\) |
0.877245 | + | 0.480043i | \(0.159379\pi\) | |||||||
\(600\) | 4.84828e10 | + | 2.33481e10i | 0.374096 | + | 0.180155i | ||||
\(601\) | −1.61029e10 | − | 4.60196e10i | −0.123426 | − | 0.352732i | 0.865547 | − | 0.500828i | \(-0.166971\pi\) |
−0.988973 | + | 0.148096i | \(0.952685\pi\) | |||||||
\(602\) | 2.29754e10 | + | 5.24398e9i | 0.174935 | + | 0.0399278i | ||||
\(603\) | −1.56301e9 | − | 1.95996e9i | −0.0118221 | − | 0.0148244i | ||||
\(604\) | −8.58759e9 | + | 1.07685e10i | −0.0645243 | + | 0.0809109i | ||||
\(605\) | 4.39093e10 | + | 1.92379e11i | 0.327744 | + | 1.43594i | ||||
\(606\) | −2.63788e10 | − | 4.19817e10i | −0.195598 | − | 0.311293i | ||||
\(607\) | −6.02170e9 | − | 5.34441e10i | −0.0443573 | − | 0.393682i | −0.996200 | − | 0.0870949i | \(-0.972242\pi\) |
0.951843 | − | 0.306587i | \(-0.0991869\pi\) | |||||||
\(608\) | 3.19982e11i | 2.34159i | ||||||||
\(609\) | 5.89115e10 | + | 6.12363e10i | 0.428283 | + | 0.445184i | ||||
\(610\) | −2.71400e11 | −1.96015 | ||||||||
\(611\) | −2.26134e10 | + | 2.54792e9i | −0.162256 | + | 0.0182819i | ||||
\(612\) | −1.45385e10 | + | 9.13517e9i | −0.103637 | + | 0.0651195i | ||||
\(613\) | −1.85980e11 | + | 4.24487e10i | −1.31712 | + | 0.300623i | −0.822637 | − | 0.568567i | \(-0.807498\pi\) |
−0.494478 | + | 0.869190i | \(0.664641\pi\) | |||||||
\(614\) | −1.76049e11 | − | 1.40394e11i | −1.23868 | − | 0.987814i | ||||
\(615\) | 1.75272e11 | − | 1.39775e11i | 1.22522 | − | 0.977078i | ||||
\(616\) | 4.63192e8 | − | 2.02938e9i | 0.00321690 | − | 0.0140942i | ||||
\(617\) | 1.10626e11 | − | 3.87096e10i | 0.763335 | − | 0.267102i | 0.0795940 | − | 0.996827i | \(-0.474638\pi\) |
0.683741 | + | 0.729725i | \(0.260352\pi\) | |||||||
\(618\) | −1.05990e11 | + | 2.20090e11i | −0.726623 | + | 1.50885i | ||||
\(619\) | −5.58131e10 | − | 3.50697e10i | −0.380166 | − | 0.238874i | 0.328369 | − | 0.944549i | \(-0.393501\pi\) |
−0.708536 | + | 0.705675i | \(0.750644\pi\) | |||||||
\(620\) | −9.35973e10 | − | 3.27511e10i | −0.633427 | − | 0.221646i | ||||
\(621\) | 4.12895e10 | − | 4.12895e10i | 0.277635 | − | 0.277635i | ||||
\(622\) | 8.62978e10 | + | 1.79199e11i | 0.576552 | + | 1.19722i | ||||
\(623\) | −1.27494e10 | + | 1.13154e11i | −0.0846323 | + | 0.751132i | ||||
\(624\) | 4.00764e10 | + | 4.51552e9i | 0.264332 | + | 0.0297831i | ||||
\(625\) | 9.68402e10 | − | 4.66358e10i | 0.634652 | − | 0.305632i | ||||
\(626\) | −9.36229e10 | − | 9.36229e10i | −0.609656 | − | 0.609656i | ||||
\(627\) | −1.53569e10 | + | 4.38875e10i | −0.0993650 | + | 0.283969i | ||||
\(628\) | −2.14323e10 | + | 3.41093e10i | −0.137794 | + | 0.219298i | ||||
\(629\) | 3.27275e10 | + | 1.57607e10i | 0.209079 | + | 0.100687i | ||||
\(630\) | −3.82061e10 | − | 1.09187e11i | −0.242533 | − | 0.693119i | ||||
\(631\) | 1.12550e11 | + | 2.56888e10i | 0.709951 | + | 0.162042i | 0.562222 | − | 0.826986i | \(-0.309947\pi\) |
0.147729 | + | 0.989028i | \(0.452804\pi\) | |||||||
\(632\) | −2.48719e10 | − | 3.11883e10i | −0.155898 | − | 0.195490i | ||||
\(633\) | −2.06591e10 | + | 2.59057e10i | −0.128676 | + | 0.161354i | ||||
\(634\) | −1.46068e10 | − | 6.39966e10i | −0.0904062 | − | 0.396096i | ||||
\(635\) | −1.02975e11 | − | 1.63883e11i | −0.633338 | − | 1.00795i | ||||
\(636\) | −3.48506e10 | − | 3.09308e11i | −0.213001 | − | 1.89044i | ||||
\(637\) | − | 2.23715e10i | − | 0.135874i | ||||||
\(638\) | 2.72857e10 | − | 5.67475e9i | 0.164684 | − | 0.0342503i | ||||
\(639\) | 4.47861e10 | 0.268621 | ||||||||
\(640\) | 1.22868e11 | − | 1.38439e10i | 0.732351 | − | 0.0825161i | ||||
\(641\) | 1.22030e11 | − | 7.66766e10i | 0.722828 | − | 0.454183i | −0.119718 | − | 0.992808i | \(-0.538199\pi\) |
0.842546 | + | 0.538625i | \(0.181056\pi\) | |||||||
\(642\) | 5.13363e11 | − | 1.17172e11i | 3.02193 | − | 0.689736i | ||||
\(643\) | 2.08764e11 | + | 1.66483e11i | 1.22127 | + | 0.973928i | 0.999999 | − | 0.00128448i | \(-0.000408863\pi\) |
0.221268 | + | 0.975213i | \(0.428980\pi\) | |||||||
\(644\) | −7.03331e10 | + | 5.60888e10i | −0.408899 | + | 0.326086i | ||||
\(645\) | −2.22330e10 | + | 9.74089e10i | −0.128457 | + | 0.562808i | ||||
\(646\) | −7.59936e10 | + | 2.65913e10i | −0.436362 | + | 0.152690i | ||||
\(647\) | 4.48481e10 | − | 9.31280e10i | 0.255933 | − | 0.531451i | −0.732925 | − | 0.680309i | \(-0.761846\pi\) |
0.988859 | + | 0.148858i | \(0.0475598\pi\) | |||||||
\(648\) | 4.36454e10 | + | 2.74242e10i | 0.247536 | + | 0.155537i | ||||
\(649\) | 1.62949e10 | + | 5.70184e9i | 0.0918488 | + | 0.0321393i | ||||
\(650\) | −3.63686e10 | + | 3.63686e10i | −0.203739 | + | 0.203739i | ||||
\(651\) | −2.65288e10 | − | 5.50877e10i | −0.147705 | − | 0.306712i | ||||
\(652\) | −2.24781e10 | + | 1.99499e11i | −0.124385 | + | 1.10395i | ||||
\(653\) | 6.68911e10 | + | 7.53682e9i | 0.367888 | + | 0.0414510i | 0.293973 | − | 0.955814i | \(-0.405022\pi\) |
0.0739144 | + | 0.997265i | \(0.476451\pi\) | |||||||
\(654\) | 1.88849e11 | − | 9.09451e10i | 1.03230 | − | 0.497128i | ||||
\(655\) | −2.57394e11 | − | 2.57394e11i | −1.39840 | − | 1.39840i | ||||
\(656\) | 5.51500e10 | − | 1.57610e11i | 0.297804 | − | 0.851075i | ||||
\(657\) | −9.63626e10 | + | 1.53360e11i | −0.517186 | + | 0.823097i | ||||
\(658\) | 9.93195e10 | + | 4.78298e10i | 0.529823 | + | 0.255149i | ||||
\(659\) | 6.80230e10 | + | 1.94398e11i | 0.360673 | + | 1.03074i | 0.971100 | + | 0.238672i | \(0.0767121\pi\) |
−0.610427 | + | 0.792073i | \(0.709002\pi\) | |||||||
\(660\) | −3.76326e10 | − | 8.58939e9i | −0.198330 | − | 0.0452675i | ||||
\(661\) | 7.95811e10 | + | 9.97915e10i | 0.416873 | + | 0.522742i | 0.945285 | − | 0.326246i | \(-0.105784\pi\) |
−0.528412 | + | 0.848988i | \(0.677212\pi\) | |||||||
\(662\) | −2.31948e11 | + | 2.90854e11i | −1.20770 | + | 1.51441i | ||||
\(663\) | 1.89312e9 | + | 8.29432e9i | 0.00979772 | + | 0.0429266i | ||||
\(664\) | −5.07921e10 | − | 8.08351e10i | −0.261290 | − | 0.415841i | ||||
\(665\) | −2.72504e10 | − | 2.41854e11i | −0.139344 | − | 1.23671i | ||||
\(666\) | − | 2.54551e11i | − | 1.29383i | ||||||
\(667\) | 2.45744e11 | + | 1.24257e11i | 1.24160 | + | 0.627795i | ||||
\(668\) | −1.46693e10 | −0.0736720 | ||||||||
\(669\) | −3.60616e11 | + | 4.06317e10i | −1.80028 | + | 0.202843i | ||||
\(670\) | 8.26275e9 | − | 5.19183e9i | 0.0410039 | − | 0.0257645i | ||||
\(671\) | −2.40099e10 | + | 5.48010e9i | −0.118441 | + | 0.0270333i | ||||
\(672\) | −1.28058e11 | − | 1.02123e11i | −0.627956 | − | 0.500778i | ||||
\(673\) | 2.80135e10 | − | 2.23400e10i | 0.136555 | − | 0.108899i | −0.552830 | − | 0.833294i | \(-0.686452\pi\) |
0.689385 | + | 0.724395i | \(0.257881\pi\) | |||||||
\(674\) | −3.72342e10 | + | 1.63133e11i | −0.180427 | + | 0.790503i | ||||
\(675\) | −6.84935e10 | + | 2.39669e10i | −0.329940 | + | 0.115451i | ||||
\(676\) | 7.15461e10 | − | 1.48567e11i | 0.342609 | − | 0.711436i | ||||
\(677\) | −9.35932e10 | − | 5.88085e10i | −0.445543 | − | 0.279953i | 0.290517 | − | 0.956870i | \(-0.406173\pi\) |
−0.736060 | + | 0.676917i | \(0.763316\pi\) | |||||||
\(678\) | 5.36274e11 | + | 1.87650e11i | 2.53786 | + | 0.888035i | ||||
\(679\) | 7.51173e10 | − | 7.51173e10i | 0.353395 | − | 0.353395i | ||||
\(680\) | 6.63033e9 | + | 1.37680e10i | 0.0310099 | + | 0.0643926i | ||||
\(681\) | 5.86482e9 | − | 5.20517e10i | 0.0272688 | − | 0.242017i | ||||
\(682\) | −1.99275e10 | − | 2.24529e9i | −0.0921118 | − | 0.0103785i | ||||
\(683\) | −2.62168e11 | + | 1.26253e11i | −1.20475 | + | 0.580176i | −0.925026 | − | 0.379905i | \(-0.875957\pi\) |
−0.279722 | + | 0.960081i | \(0.590242\pi\) | |||||||
\(684\) | 1.79010e11 | + | 1.79010e11i | 0.817811 | + | 0.817811i | ||||
\(685\) | −6.66875e10 | + | 1.90582e11i | −0.302888 | + | 0.865605i | ||||
\(686\) | −1.30948e11 | + | 2.08402e11i | −0.591292 | + | 0.941036i | ||||
\(687\) | 1.96429e11 | + | 9.45953e10i | 0.881818 | + | 0.424661i | ||||
\(688\) | 2.45794e10 | + | 7.02440e10i | 0.109703 | + | 0.313513i | ||||
\(689\) | −6.63134e10 | − | 1.51356e10i | −0.294256 | − | 0.0671619i | ||||
\(690\) | −5.29968e11 | − | 6.64559e11i | −2.33805 | − | 2.93182i | ||||
\(691\) | −5.72458e10 | + | 7.17839e10i | −0.251091 | + | 0.314858i | −0.891363 | − | 0.453290i | \(-0.850250\pi\) |
0.640272 | + | 0.768148i | \(0.278822\pi\) | |||||||
\(692\) | 4.25455e10 | + | 1.86404e11i | 0.185536 | + | 0.812888i | ||||
\(693\) | −5.58468e9 | − | 8.88796e9i | −0.0242139 | − | 0.0385362i | ||||
\(694\) | −6.82308e10 | − | 6.05565e11i | −0.294132 | − | 2.61049i | ||||
\(695\) | 2.61203e11i | 1.11954i | ||||||||
\(696\) | −1.89843e10 | + | 7.63367e10i | −0.0809016 | + | 0.325309i | ||||
\(697\) | 3.52245e10 | 0.149250 | ||||||||
\(698\) | 2.20827e11 | − | 2.48813e10i | 0.930318 | − | 0.104822i | ||||
\(699\) | 2.68100e11 | − | 1.68458e11i | 1.12302 | − | 0.705641i | ||||
\(700\) | 1.08992e11 | − | 2.48768e10i | 0.453945 | − | 0.103610i | ||||
\(701\) | 2.05854e11 | + | 1.64163e11i | 0.852486 | + | 0.679835i | 0.948924 | − | 0.315504i | \(-0.102174\pi\) |
−0.0964383 | + | 0.995339i | \(0.530745\pi\) | |||||||
\(702\) | −1.24645e10 | + | 9.94013e9i | −0.0513248 | + | 0.0409302i | ||||
\(703\) | 1.19176e11 | − | 5.22142e11i | 0.487939 | − | 2.13780i | ||||
\(704\) | −1.73637e10 | + | 6.07581e9i | −0.0706888 | + | 0.0247351i | ||||
\(705\) | −2.02784e11 | + | 4.21086e11i | −0.820876 | + | 1.70457i | ||||
\(706\) | 5.02729e11 | + | 3.15886e11i | 2.02356 | + | 1.27148i | ||||
\(707\) | 2.22288e10 | + | 7.77819e9i | 0.0889689 | + | 0.0311316i | ||||
\(708\) | 1.50702e11 | − | 1.50702e11i | 0.599772 | − | 0.599772i | ||||
\(709\) | −1.43384e11 | − | 2.97740e11i | −0.567435 | − | 1.17829i | −0.965372 | − | 0.260879i | \(-0.915988\pi\) |
0.397936 | − | 0.917413i | \(-0.369727\pi\) | |||||||
\(710\) | −1.95197e10 | + | 1.73242e11i | −0.0768137 | + | 0.681740i | ||||
\(711\) | −1.99899e11 | − | 2.25232e10i | −0.782225 | − | 0.0881356i | ||||
\(712\) | −9.49730e10 | + | 4.57366e10i | −0.369556 | + | 0.177969i | ||||
\(713\) | −1.40110e11 | − | 1.40110e11i | −0.542138 | − | 0.542138i | ||||
\(714\) | 1.36116e10 | − | 3.88996e10i | 0.0523740 | − | 0.149676i | ||||
\(715\) | −4.48774e9 | + | 7.14220e9i | −0.0171713 | + | 0.0273280i | ||||
\(716\) | −2.48570e11 | − | 1.19705e11i | −0.945796 | − | 0.455471i | ||||
\(717\) | 8.59568e10 | + | 2.45650e11i | 0.325240 | + | 0.929482i | ||||
\(718\) | −3.74550e11 | − | 8.54887e10i | −1.40933 | − | 0.321670i | ||||
\(719\) | −7.08279e10 | − | 8.88153e10i | −0.265026 | − | 0.332332i | 0.631456 | − | 0.775411i | \(-0.282457\pi\) |
−0.896482 | + | 0.443079i | \(0.853886\pi\) | |||||||
\(720\) | 2.27762e11 | − | 2.85605e11i | 0.847523 | − | 1.06276i | ||||
\(721\) | −2.58190e10 | − | 1.13121e11i | −0.0955430 | − | 0.418601i | ||||
\(722\) | 4.36841e11 | + | 6.95228e11i | 1.60759 | + | 2.55846i | ||||
\(723\) | 3.91442e10 | + | 3.47414e11i | 0.143256 | + | 1.27144i | ||||
\(724\) | − | 2.98605e11i | − | 1.08678i | ||||||
\(725\) | −2.08151e11 | − | 2.71631e11i | −0.753401 | − | 0.983167i | ||||
\(726\) | 4.92644e11 | 1.77332 | ||||||||
\(727\) | −2.04842e11 | + | 2.30801e10i | −0.733299 | + | 0.0826230i | −0.470714 | − | 0.882286i | \(-0.656004\pi\) |
−0.262585 | + | 0.964909i | \(0.584575\pi\) | |||||||
\(728\) | −4.75478e9 | + | 2.98763e9i | −0.0169280 | + | 0.0106366i | ||||
\(729\) | 1.49485e11 | − | 3.41189e10i | 0.529281 | − | 0.120805i | ||||
\(730\) | −5.51230e11 | − | 4.39591e11i | −1.94107 | − | 1.54795i | ||||
\(731\) | −1.22740e10 | + | 9.78815e9i | −0.0429848 | + | 0.0342792i | ||||
\(732\) | −6.76533e10 | + | 2.96409e11i | −0.235638 | + | 1.03240i | ||||
\(733\) | 6.58819e10 | − | 2.30531e10i | 0.228218 | − | 0.0798570i | −0.213748 | − | 0.976889i | \(-0.568567\pi\) |
0.441966 | + | 0.897032i | \(0.354281\pi\) | |||||||
\(734\) | −4.98489e10 | + | 1.03512e11i | −0.171740 | + | 0.356622i | ||||
\(735\) | −3.89039e11 | − | 2.44449e11i | −1.33304 | − | 0.837605i | ||||
\(736\) | −5.01014e11 | − | 1.75313e11i | −1.70741 | − | 0.597450i | ||||
\(737\) | 6.26147e8 | − | 6.26147e8i | 0.00212230 | − | 0.00212230i | ||||
\(738\) | −1.07100e11 | − | 2.22396e11i | −0.361048 | − | 0.749724i | ||||
\(739\) | −4.43857e10 | + | 3.93934e11i | −0.148821 | + | 1.32083i | 0.668098 | + | 0.744074i | \(0.267109\pi\) |
−0.816919 | + | 0.576752i | \(0.804320\pi\) | |||||||
\(740\) | 4.41820e11 | + | 4.97812e10i | 1.47339 | + | 0.166012i | ||||
\(741\) | 1.13014e11 | − | 5.44246e10i | 0.374851 | − | 0.180519i | ||||
\(742\) | 2.32988e11 | + | 2.32988e11i | 0.768630 | + | 0.768630i | ||||
\(743\) | −2.71919e10 | + | 7.77100e10i | −0.0892245 | + | 0.254989i | −0.979845 | − | 0.199758i | \(-0.935985\pi\) |
0.890621 | + | 0.454747i | \(0.150270\pi\) | |||||||
\(744\) | 3.01137e10 | − | 4.79258e10i | 0.0982818 | − | 0.156415i | ||||
\(745\) | −1.41823e11 | − | 6.82982e10i | −0.460384 | − | 0.221709i | ||||
\(746\) | 8.41850e10 | + | 2.40587e11i | 0.271819 | + | 0.776813i | ||||
\(747\) | −4.69355e11 | − | 1.07127e11i | −1.50737 | − | 0.344046i | ||||
\(748\) | −3.78151e9 | − | 4.74187e9i | −0.0120798 | − | 0.0151476i | ||||
\(749\) | −1.55941e11 | + | 1.95544e11i | −0.495489 | + | 0.621323i | ||||
\(750\) | 4.52863e10 | + | 1.98412e11i | 0.143127 | + | 0.627080i | ||||
\(751\) | 2.72292e11 | + | 4.33350e11i | 0.856002 | + | 1.36232i | 0.930956 | + | 0.365132i | \(0.118976\pi\) |
−0.0749540 | + | 0.997187i | \(0.523881\pi\) | |||||||
\(752\) | 3.89767e10 | + | 3.45928e11i | 0.121880 | + | 1.08172i | ||||
\(753\) | 4.59081e11i | 1.42794i | ||||||||
\(754\) | −6.28748e10 | − | 4.12247e10i | −0.194532 | − | 0.127547i | ||||
\(755\) | 6.18152e10 | 0.190242 | ||||||||
\(756\) | 3.44353e10 | − | 3.87993e9i | 0.105419 | − | 0.0118778i | ||||
\(757\) | 1.17601e11 | − | 7.38935e10i | 0.358119 | − | 0.225021i | −0.340940 | − | 0.940085i | \(-0.610745\pi\) |
0.699059 | + | 0.715064i | \(0.253603\pi\) | |||||||
\(758\) | −2.34656e11 | + | 5.35586e10i | −0.710811 | + | 0.162238i | ||||
\(759\) | −6.03035e10 | − | 4.80904e10i | −0.181709 | − | 0.144908i | ||||
\(760\) | 1.76153e11 | − | 1.40477e11i | 0.528001 | − | 0.421067i | ||||
\(761\) | 6.93987e10 | − | 3.04056e11i | 0.206925 | − | 0.906597i | −0.759674 | − | 0.650304i | \(-0.774642\pi\) |
0.966599 | − | 0.256293i | \(-0.0825013\pi\) | |||||||
\(762\) | −4.56098e11 | + | 1.59596e11i | −1.35282 | + | 0.473371i | ||||
\(763\) | −4.31975e10 | + | 8.97005e10i | −0.127456 | + | 0.264665i | ||||
\(764\) | −8.16907e10 | − | 5.13297e10i | −0.239772 | − | 0.150659i | ||||
\(765\) | 7.27362e10 | + | 2.54515e10i | 0.212376 | + | 0.0743135i | ||||
\(766\) | 8.29128e10 | − | 8.29128e10i | 0.240828 | − | 0.240828i | ||||
\(767\) | −2.02072e10 | − | 4.19607e10i | −0.0583882 | − | 0.121244i | ||||
\(768\) | 6.58036e10 | − | 5.84023e11i | 0.189149 | − | 1.67875i | ||||
\(769\) | 1.64475e11 | + | 1.85318e10i | 0.470320 | + | 0.0529924i | 0.343944 | − | 0.938990i | \(-0.388237\pi\) |
0.126376 | + | 0.991982i | \(0.459665\pi\) | |||||||
\(770\) | 3.68145e10 | − | 1.77289e10i | 0.104726 | − | 0.0504335i | ||||
\(771\) | 1.82962e11 | + | 1.82962e11i | 0.517778 | + | 0.517778i | ||||
\(772\) | −2.85741e9 | + | 8.16601e9i | −0.00804458 | + | 0.0229901i | ||||
\(773\) | 3.24991e11 | − | 5.17221e11i | 0.910236 | − | 1.44863i | 0.0165885 | − | 0.999862i | \(-0.494719\pi\) |
0.893647 | − | 0.448770i | \(-0.148138\pi\) | |||||||
\(774\) | 9.91181e10 | + | 4.77327e10i | 0.276178 | + | 0.133000i | ||||
\(775\) | 8.13281e10 | + | 2.32422e11i | 0.225442 | + | 0.644275i | ||||
\(776\) | 9.58760e10 | + | 2.18831e10i | 0.264401 | + | 0.0603478i | ||||
\(777\) | 1.70928e11 | + | 2.14337e11i | 0.468954 | + | 0.588049i | ||||
\(778\) | 3.56623e11 | − | 4.47191e11i | 0.973399 | − | 1.22060i | ||||
\(779\) | −1.15566e11 | − | 5.06327e11i | −0.313820 | − | 1.37493i | ||||
\(780\) | 5.54024e10 | + | 8.81723e10i | 0.149675 | + | 0.238207i | ||||
\(781\) | 1.77125e9 | + | 1.57203e10i | 0.00476077 | + | 0.0422530i | ||||
\(782\) | − | 1.33557e11i | − | 0.357140i | ||||||
\(783\) | −5.46878e10 | − | 9.08923e10i | −0.145493 | − | 0.241813i | ||||
\(784\) | −3.42228e11 | −0.905839 | ||||||||
\(785\) | 1.79657e11 | − | 2.02425e10i | 0.473115 | − | 0.0533073i | ||||
\(786\) | −7.69488e11 | + | 4.83501e11i | −2.01610 | + | 1.26680i | ||||
\(787\) | −5.40499e11 | + | 1.23365e11i | −1.40895 | + | 0.321584i | −0.858298 | − | 0.513151i | \(-0.828478\pi\) |
−0.550652 | + | 0.834735i | \(0.685621\pi\) | |||||||
\(788\) | 3.91690e10 | + | 3.12362e10i | 0.101587 | + | 0.0810128i | ||||
\(789\) | −3.40908e11 | + | 2.71865e11i | −0.879689 | + | 0.701528i | ||||
\(790\) | 1.74248e11 | − | 7.63433e11i | 0.447364 | − | 1.96003i | ||||
\(791\) | −2.54722e11 | + | 8.91310e10i | −0.650669 | + | 0.227679i | ||||
\(792\) | 4.21615e9 | − | 8.75492e9i | 0.0107156 | − | 0.0222511i | ||||
\(793\) | 5.62547e10 | + | 3.53472e10i | 0.142255 | + | 0.0893844i | ||||
\(794\) | 1.45021e11 | + | 5.07449e10i | 0.364878 | + | 0.127676i | ||||
\(795\) | −9.87800e11 | + | 9.87800e11i | −2.47287 | + | 2.47287i | ||||
\(796\) | −2.39806e11 | − | 4.97962e11i | −0.597320 | − | 1.24035i | ||||
\(797\) | 4.67440e10 | − | 4.14864e11i | 0.115849 | − | 1.02819i | −0.792470 | − | 0.609911i | \(-0.791205\pi\) |
0.908319 | − | 0.418278i | \(-0.137366\pi\) | |||||||
\(798\) | −6.03812e11 | − | 6.80332e10i | −1.48898 | − | 0.167768i | ||||
\(799\) | −6.61631e10 | + | 3.18625e10i | −0.162341 | + | 0.0781794i | ||||
\(800\) | 4.66437e11 | + | 4.66437e11i | 1.13876 | + | 1.13876i | ||||
\(801\) | −1.75567e11 | + | 5.01740e11i | −0.426493 | + | 1.21885i | ||||
\(802\) | 3.29949e11 | − | 5.25111e11i | 0.797535 | − | 1.26927i | ||||
\(803\) | −5.76419e10 | − | 2.77589e10i | −0.138636 | − | 0.0667636i | ||||
\(804\) | −3.61054e9 | − | 1.03183e10i | −0.00864069 | − | 0.0246937i | ||||
\(805\) | 3.93616e11 | + | 8.98403e10i | 0.937323 | + | 0.213938i | ||||
\(806\) | 3.37303e10 | + | 4.22965e10i | 0.0799246 | + | 0.100222i | ||||
\(807\) | 5.45389e11 | − | 6.83896e11i | 1.28591 | − | 1.61249i | ||||
\(808\) | 4.85122e9 | + | 2.12546e10i | 0.0113816 | + | 0.0498663i | ||||
\(809\) | −4.50146e11 | − | 7.16404e11i | −1.05090 | − | 1.67249i | −0.658245 | − | 0.752804i | \(-0.728701\pi\) |
−0.392651 | − | 0.919688i | \(-0.628442\pi\) | |||||||
\(810\) | 1.13291e11 | + | 1.00549e12i | 0.263182 | + | 2.33580i | ||||
\(811\) | 4.91760e11i | 1.13676i | 0.822766 | + | 0.568381i | \(0.192430\pi\) | ||||
−0.822766 | + | 0.568381i | \(0.807570\pi\) | |||||||
\(812\) | 6.80443e10 | + | 1.48582e11i | 0.156519 | + | 0.341776i | ||||
\(813\) | 2.13961e10 | 0.0489749 | ||||||||
\(814\) | 8.93496e10 | − | 1.00673e10i | 0.203514 | − | 0.0229306i | ||||
\(815\) | 7.62913e11 | − | 4.79370e11i | 1.72920 | − | 1.08653i | ||||
\(816\) | 1.26882e11 | − | 2.89600e10i | 0.286180 | − | 0.0653188i | ||||
\(817\) | 1.80967e11 | + | 1.44316e11i | 0.406172 | + | 0.323911i | ||||
\(818\) | 8.02286e10 | − | 6.39802e10i | 0.179191 | − | 0.142900i | ||||
\(819\) | −6.30130e9 | + | 2.76078e10i | −0.0140054 | + | 0.0613615i | ||||
\(820\) | 4.06955e11 | − | 1.42400e11i | 0.900099 | − | 0.314958i | ||||
\(821\) | 1.16784e10 | − | 2.42505e10i | 0.0257047 | − | 0.0533763i | −0.887721 | − | 0.460381i | \(-0.847713\pi\) |
0.913426 | + | 0.407005i | \(0.133427\pi\) | |||||||
\(822\) | 4.26828e11 | + | 2.68194e11i | 0.934901 | + | 0.587437i | ||||
\(823\) | 1.18914e11 | + | 4.16096e10i | 0.259198 | + | 0.0906974i | 0.456750 | − | 0.889595i | \(-0.349013\pi\) |
−0.197552 | + | 0.980292i | \(0.563299\pi\) | |||||||
\(824\) | 7.59515e10 | − | 7.59515e10i | 0.164751 | − | 0.164751i | ||||
\(825\) | 4.15891e10 | + | 8.63606e10i | 0.0897767 | + | 0.186423i | ||||
\(826\) | −2.52599e10 | + | 2.24188e11i | −0.0542640 | + | 0.481607i | ||||
\(827\) | 1.10131e10 | + | 1.24088e9i | 0.0235444 | + | 0.00265282i | 0.123729 | − | 0.992316i | \(-0.460515\pi\) |
−0.100184 | + | 0.994969i | \(0.531943\pi\) | |||||||
\(828\) | −3.78363e11 | + | 1.82210e11i | −0.804985 | + | 0.387660i | ||||
\(829\) | 2.34335e11 | + | 2.34335e11i | 0.496158 | + | 0.496158i | 0.910240 | − | 0.414082i | \(-0.135897\pi\) |
−0.414082 | + | 0.910240i | \(0.635897\pi\) | |||||||
\(830\) | 6.18954e11 | − | 1.76887e12i | 1.30421 | − | 3.72720i | ||||
\(831\) | 4.78205e11 | − | 7.61059e11i | 1.00279 | − | 1.59593i | ||||
\(832\) | 4.47128e10 | + | 2.15325e10i | 0.0933122 | + | 0.0449368i | ||||
\(833\) | −2.38439e10 | − | 6.81419e10i | −0.0495218 | − | 0.141525i | ||||
\(834\) | 6.35768e11 | + | 1.45110e11i | 1.31412 | + | 0.299939i | ||||
\(835\) | 4.10479e10 | + | 5.14725e10i | 0.0844395 | + | 0.105884i | ||||
\(836\) | −5.57544e10 | + | 6.99139e10i | −0.114144 | + | 0.143132i | ||||
\(837\) | 1.69844e10 | + | 7.44137e10i | 0.0346058 | + | 0.151618i | ||||
\(838\) | 4.76219e11 | + | 7.57898e11i | 0.965675 | + | 1.53686i | ||||
\(839\) | −8.36224e10 | − | 7.42170e11i | −0.168762 | − | 1.49781i | −0.737534 | − | 0.675310i | \(-0.764010\pi\) |
0.568772 | − | 0.822495i | \(-0.307419\pi\) | |||||||
\(840\) | 1.15330e11i | 0.231647i | ||||||||
\(841\) | 3.26795e11 | − | 3.78750e11i | 0.653268 | − | 0.757127i | ||||
\(842\) | −3.00845e11 | −0.598542 | ||||||||
\(843\) | 2.17947e11 | − | 2.45567e10i | 0.431559 | − | 0.0486250i | ||||
\(844\) | −5.39575e10 | + | 3.39038e10i | −0.106336 | + | 0.0668156i | ||||
\(845\) | −7.21504e11 | + | 1.64679e11i | −1.41518 | + | 0.323006i | ||||
\(846\) | 4.02338e11 | + | 3.20854e11i | 0.785433 | + | 0.626362i | ||||
\(847\) | −1.82947e11 | + | 1.45896e11i | −0.355461 | + | 0.283471i | ||||
\(848\) | −2.31537e11 | + | 1.01443e12i | −0.447751 | + | 1.96172i | ||||
\(849\) | 9.75916e11 | − | 3.41488e11i | 1.87837 | − | 0.657271i | ||||
\(850\) | −7.20138e10 | + | 1.49538e11i | −0.137956 | + | 0.286468i | ||||
\(851\) | 7.52255e11 | + | 4.72673e11i | 1.43432 | + | 0.901245i | ||||
\(852\) | 1.84340e11 | + | 6.45033e10i | 0.349833 | + | 0.122412i | ||||
\(853\) | −8.16202e10 | + | 8.16202e10i | −0.154171 | + | 0.154171i | −0.779978 | − | 0.625807i | \(-0.784770\pi\) |
0.625807 | + | 0.779978i | \(0.284770\pi\) | |||||||
\(854\) | −1.39640e11 | − | 2.89965e11i | −0.262529 | − | 0.545148i | ||||
\(855\) | 1.27211e11 | − | 1.12903e12i | 0.238047 | − | 2.11272i | ||||
\(856\) | −2.30078e11 | − | 2.59235e10i | −0.428528 | − | 0.0482836i | ||||
\(857\) | 2.76253e11 | − | 1.33036e11i | 0.512134 | − | 0.246631i | −0.159924 | − | 0.987129i | \(-0.551125\pi\) |
0.672058 | + | 0.740498i | \(0.265411\pi\) | |||||||
\(858\) | 1.48909e10 | + | 1.48909e10i | 0.0274772 | + | 0.0274772i | ||||
\(859\) | −1.93830e11 | + | 5.53935e11i | −0.355999 | + | 1.01739i | 0.617077 | + | 0.786903i | \(0.288317\pi\) |
−0.973076 | + | 0.230484i | \(0.925969\pi\) | |||||||
\(860\) | −1.02233e11 | + | 1.62703e11i | −0.186895 | + | 0.297442i | ||||
\(861\) | 2.39517e11 | + | 1.15345e11i | 0.435837 | + | 0.209888i | ||||
\(862\) | −1.46494e11 | − | 4.18656e11i | −0.265333 | − | 0.758277i | ||||
\(863\) | −9.09531e11 | − | 2.07595e11i | −1.63974 | − | 0.374259i | −0.699461 | − | 0.714671i | \(-0.746577\pi\) |
−0.940277 | + | 0.340411i | \(0.889434\pi\) | |||||||
\(864\) | 1.27485e11 | + | 1.59861e11i | 0.228772 | + | 0.286871i | ||||
\(865\) | 5.35014e11 | − | 6.70887e11i | 0.955655 | − | 1.19835i | ||||
\(866\) | 3.49518e9 | + | 1.53134e10i | 0.00621438 | + | 0.0272270i | ||||
\(867\) | −3.87481e11 | − | 6.16672e11i | −0.685763 | − | 1.09139i | ||||
\(868\) | −1.31660e10 | − | 1.16851e11i | −0.0231939 | − | 0.205851i | ||||
\(869\) | − | 7.10570e10i | − | 0.124603i | ||||||
\(870\) | −1.40391e12 | + | 6.42933e11i | −2.45055 | + | 1.12225i | ||||
\(871\) | −2.38886e9 | −0.00415066 | ||||||||
\(872\) | −9.15858e10 | + | 1.03192e10i | −0.158403 | + | 0.0178477i | ||||
\(873\) | 4.19904e11 | − | 2.63843e11i | 0.722924 | − | 0.454243i | ||||
\(874\) | −1.91978e12 | + | 4.38178e11i | −3.29008 | + | 0.750939i | ||||
\(875\) | −7.55768e10 | − | 6.02705e10i | −0.128931 | − | 0.102819i | ||||
\(876\) | −6.17507e11 | + | 4.92446e11i | −1.04864 | + | 0.836261i | ||||
\(877\) | −1.33271e11 | + | 5.83899e11i | −0.225288 | + | 0.987050i | 0.728140 | + | 0.685428i | \(0.240385\pi\) |
−0.953428 | + | 0.301622i | \(0.902472\pi\) | |||||||
\(878\) | −7.43185e11 | + | 2.60052e11i | −1.25060 | + | 0.437605i | ||||
\(879\) | −7.08818e9 | + | 1.47188e10i | −0.0118735 | + | 0.0246556i | ||||
\(880\) | 1.09258e11 | + | 6.86511e10i | 0.182188 | + | 0.114477i | ||||
\(881\) | 5.19932e11 | + | 1.81932e11i | 0.863064 | + | 0.301999i | 0.725272 | − | 0.688462i | \(-0.241714\pi\) |
0.137792 | + | 0.990461i | \(0.455999\pi\) | |||||||
\(882\) | −3.57728e11 | + | 3.57728e11i | −0.591123 | + | 0.591123i | ||||
\(883\) | −1.08037e11 | − | 2.24340e11i | −0.177717 | − | 0.369033i | 0.793014 | − | 0.609204i | \(-0.208511\pi\) |
−0.970731 | + | 0.240171i | \(0.922796\pi\) | |||||||
\(884\) | −1.83196e9 | + | 1.62591e10i | −0.00299990 | + | 0.0266248i | ||||
\(885\) | −9.50492e11 | − | 1.07095e11i | −1.54944 | − | 0.174580i | ||||
\(886\) | 3.70991e10 | − | 1.78660e10i | 0.0602045 | − | 0.0289930i | ||||
\(887\) | 4.32628e11 | + | 4.32628e11i | 0.698908 | + | 0.698908i | 0.964175 | − | 0.265267i | \(-0.0854602\pi\) |
−0.265267 | + | 0.964175i | \(0.585460\pi\) | |||||||
\(888\) | −8.38200e10 | + | 2.39544e11i | −0.134802 | + | 0.385242i | ||||
\(889\) | 1.22112e11 | − | 1.94340e11i | 0.195502 | − | 0.311139i | ||||
\(890\) | −1.86431e12 | − | 8.97807e11i | −2.97139 | − | 1.43094i | ||||
\(891\) | 3.03253e10 | + | 8.66648e10i | 0.0481166 | + | 0.137509i | ||||
\(892\) | −6.80432e11 | − | 1.55304e11i | −1.07479 | − | 0.245315i | ||||
\(893\) | 6.75070e11 | + | 8.46511e11i | 1.06156 | + | 1.33115i | ||||
\(894\) | −2.45026e11 | + | 3.07253e11i | −0.383586 | + | 0.481001i | ||||
\(895\) | 2.75527e11 | + | 1.20716e12i | 0.429410 | + | 1.88137i | ||||
\(896\) | 7.80087e10 | + | 1.24150e11i | 0.121035 | + | 0.192626i | ||||
\(897\) | 2.32975e10 | + | 2.06771e11i | 0.0359864 | + | 0.319389i | ||||
\(898\) | − | 1.21465e12i | − | 1.86787i | ||||||
\(899\) | −3.08429e11 | + | 1.85575e11i | −0.472190 | + | 0.284106i | ||||
\(900\) | 5.21886e11 | 0.795437 | ||||||||
\(901\) | −2.18117e11 | + | 2.45759e10i | −0.330972 | + | 0.0372915i | ||||
\(902\) | 7.38272e10 | − | 4.63887e10i | 0.111530 | − | 0.0700787i | ||||
\(903\) | −1.15512e11 | + | 2.63648e10i | −0.173730 | + | 0.0396527i | ||||
\(904\) | −1.95318e11 | − | 1.55761e11i | −0.292462 | − | 0.233231i | ||||
\(905\) | −1.04777e12 | + | 8.35565e11i | −1.56196 | + | 1.24562i | ||||
\(906\) | 3.43411e10 | − | 1.50458e11i | 0.0509684 | − | 0.223307i | ||||
\(907\) | 3.79197e10 | − | 1.32687e10i | 0.0560320 | − | 0.0196064i | −0.302118 | − | 0.953271i | \(-0.597694\pi\) |
0.358150 | + | 0.933664i | \(0.383408\pi\) | |||||||
\(908\) | 4.37094e10 | − | 9.07636e10i | 0.0643031 | − | 0.133527i | ||||
\(909\) | 9.30877e10 | + | 5.84909e10i | 0.136344 | + | 0.0856707i | ||||
\(910\) | −1.04046e11 | − | 3.64073e10i | −0.151726 | − | 0.0530913i | ||||
\(911\) | −5.24001e11 | + | 5.24001e11i | −0.760780 | + | 0.760780i | −0.976463 | − | 0.215683i | \(-0.930802\pi\) |
0.215683 | + | 0.976463i | \(0.430802\pi\) | |||||||
\(912\) | −8.32558e11 | − | 1.72883e12i | −1.20347 | − | 2.49903i | ||||
\(913\) | 1.90400e10 | − | 1.68984e11i | 0.0274021 | − | 0.243200i | ||||
\(914\) | 1.33372e12 | + | 1.50275e11i | 1.91109 | + | 0.215328i | ||||
\(915\) | 1.22937e12 | − | 5.92032e11i | 1.75387 | − | 0.844619i | ||||
\(916\) | 2.96489e11 | + | 2.96489e11i | 0.421140 | + | 0.421140i | ||||
\(917\) | 1.42567e11 | − | 4.07434e11i | 0.201624 | − | 0.576210i | ||||
\(918\) | −2.73716e10 | + | 4.35617e10i | −0.0385416 | + | 0.0613386i | ||||
\(919\) | 8.16867e10 | + | 3.93382e10i | 0.114522 | + | 0.0551509i | 0.490268 | − | 0.871572i | \(-0.336899\pi\) |
−0.375746 | + | 0.926723i | \(0.622613\pi\) | |||||||
\(920\) | 1.23442e11 | + | 3.52777e11i | 0.172311 | + | 0.492436i | ||||
\(921\) | 1.10371e12 | + | 2.51914e11i | 1.53397 | + | 0.350118i | ||||
\(922\) | 7.06759e11 | + | 8.86248e11i | 0.978020 | + | 1.22640i | ||||
\(923\) | 2.66090e10 | − | 3.33667e10i | 0.0366625 | − | 0.0459733i | ||||
\(924\) | −1.01857e10 | − | 4.46263e10i | −0.0139734 | − | 0.0612214i | ||||
\(925\) | −5.87405e11 | − | 9.34849e11i | −0.802362 | − | 1.27695i | ||||
\(926\) | −4.88937e10 | − | 4.33943e11i | −0.0664980 | − | 0.590186i | ||||
\(927\) | − | 5.41654e11i | − | 0.733505i | ||||||
\(928\) | −5.28717e11 | + | 8.06386e11i | −0.712905 | + | 1.08730i | ||||
\(929\) | −4.26516e11 | −0.572627 | −0.286314 | − | 0.958136i | \(-0.592430\pi\) | ||||
−0.286314 | + | 0.958136i | \(0.592430\pi\) | |||||||
\(930\) | 1.10410e12 | − | 1.24402e11i | 1.47596 | − | 0.166301i | ||||
\(931\) | −9.01263e11 | + | 5.66301e11i | −1.19964 | + | 0.753787i | ||||
\(932\) | 5.93683e11 | − | 1.35504e11i | 0.786849 | − | 0.179593i | ||||
\(933\) | −7.81812e11 | − | 6.23475e11i | −1.03175 | − | 0.822796i | ||||
\(934\) | 1.28315e12 | − | 1.02328e12i | 1.68613 | − | 1.34464i | ||||
\(935\) | −6.05705e9 | + | 2.65377e10i | −0.00792528 | + | 0.0347229i | ||||
\(936\) | −2.47434e10 | + | 8.65810e9i | −0.0322371 | + | 0.0112803i | ||||
\(937\) | 5.68698e11 | − | 1.18091e12i | 0.737774 | − | 1.53200i | −0.105439 | − | 0.994426i | \(-0.533625\pi\) |
0.843214 | − | 0.537579i | \(-0.180661\pi\) | |||||||
\(938\) | 9.79831e9 | + | 6.15669e9i | 0.0126573 | + | 0.00795309i | ||||
\(939\) | 6.28317e11 | + | 2.19857e11i | 0.808195 | + | 0.282800i | ||||
\(940\) | −6.35584e11 | + | 6.35584e11i | −0.814070 | + | 0.814070i | ||||
\(941\) | 5.69050e11 | + | 1.18164e12i | 0.725758 | + | 1.50705i | 0.856785 | + | 0.515673i | \(0.172458\pi\) |
−0.131028 | + | 0.991379i | \(0.541828\pi\) | |||||||
\(942\) | 5.05373e10 | − | 4.48531e11i | 0.0641813 | − | 0.569625i | ||||
\(943\) | 8.56104e11 | + | 9.64597e10i | 1.08263 | + | 0.121983i | ||||
\(944\) | −6.41892e11 | + | 3.09119e11i | −0.808303 | + | 0.389258i | ||||
\(945\) | −1.09972e11 | − | 1.09972e11i | −0.137897 | − | 0.137897i | ||||
\(946\) | −1.28346e10 | + | 3.66791e10i | −0.0160257 | + | 0.0457988i | ||||
\(947\) | 1.48273e11 | − | 2.35975e11i | 0.184358 | − | 0.293404i | −0.741740 | − | 0.670688i | \(-0.765999\pi\) |
0.926098 | + | 0.377284i | \(0.123142\pi\) | |||||||
\(948\) | −7.90346e11 | − | 3.80611e11i | −0.978552 | − | 0.471246i | ||||
\(949\) | 5.70044e10 | + | 1.62909e11i | 0.0702819 | + | 0.200854i | ||||
\(950\) | 2.38577e12 | + | 5.44536e11i | 2.92910 | + | 0.668547i | ||||
\(951\) | 2.05768e11 | + | 2.58024e11i | 0.251568 | + | 0.315456i | ||||
\(952\) | −1.12984e10 | + | 1.41678e10i | −0.0137553 | + | 0.0172486i | ||||
\(953\) | −3.36509e11 | − | 1.47434e12i | −0.407967 | − | 1.78742i | −0.593555 | − | 0.804793i | \(-0.702276\pi\) |
0.185588 | − | 0.982628i | \(-0.440581\pi\) | |||||||
\(954\) | 8.18349e11 | + | 1.30240e12i | 0.987973 | + | 1.57235i | ||||
\(955\) | 4.84802e10 | + | 4.30274e11i | 0.0582842 | + | 0.517287i | ||||
\(956\) | 5.00526e11i | 0.599232i | ||||||||
\(957\) | −1.11218e11 | + | 8.52262e10i | −0.132595 | + | 0.101607i | ||||
\(958\) | 1.03395e12 | 1.22754 | ||||||||
\(959\) | −2.37931e11 | + | 2.68084e10i | −0.281305 | + | 0.0316954i | ||||
\(960\) | 8.63016e11 | − | 5.42269e11i | 1.01609 | − | 0.638455i | ||||
\(961\) | −5.78996e11 | + | 1.32152e11i | −0.678862 | + | 0.154946i | ||||
\(962\) | −1.89646e11 | − | 1.51238e11i | −0.221434 | − | 0.176588i | ||||
\(963\) | −9.12846e11 | + | 7.27970e11i | −1.06143 | + | 0.846464i | ||||
\(964\) | −1.49619e11 | + | 6.55522e11i | −0.173252 | + | 0.759065i | ||||
\(965\) | 3.66491e10 | − | 1.28241e10i | 0.0422624 | − | 0.0147883i | ||||
\(966\) | 4.37342e11 | − | 9.08150e11i | 0.502241 | − | 1.04291i | ||||
\(967\) | −8.72391e11 | − | 5.48159e11i | −0.997712 | − | 0.626904i | −0.0689651 | − | 0.997619i | \(-0.521970\pi\) |
−0.928747 | + | 0.370715i | \(0.879113\pi\) | |||||||
\(968\) | −2.04462e11 | − | 7.15445e10i | −0.232869 | − | 0.0814845i | ||||
\(969\) | 2.86225e11 | − | 2.86225e11i | 0.324647 | − | 0.324647i | ||||
\(970\) | 8.37587e11 | + | 1.73927e12i | 0.946113 | + | 1.96462i | ||||
\(971\) | −1.02126e11 | + | 9.06389e11i | −0.114883 | + | 1.01962i | 0.795529 | + | 0.605916i | \(0.207193\pi\) |
−0.910412 | + | 0.413703i | \(0.864235\pi\) | |||||||
\(972\) | 9.22642e11 | + | 1.03957e11i | 1.03364 | + | 0.116463i | ||||
\(973\) | −2.79071e11 | + | 1.34394e11i | −0.311361 | + | 0.149943i | ||||
\(974\) | −4.40564e11 | − | 4.40564e11i | −0.489523 | − | 0.489523i | ||||
\(975\) | 8.54055e10 | − | 2.44075e11i | 0.0945078 | − | 0.270088i | ||||
\(976\) | 5.40722e11 | − | 8.60555e11i | 0.595902 | − | 0.948373i | ||||
\(977\) | 4.91733e11 | + | 2.36806e11i | 0.539698 | + | 0.259905i | 0.683815 | − | 0.729656i | \(-0.260320\pi\) |
−0.144117 | + | 0.989561i | \(0.546034\pi\) | |||||||
\(978\) | −7.42953e11 | − | 2.12324e12i | −0.812094 | − | 2.32083i | ||||
\(979\) | −1.83059e11 | − | 4.17820e10i | −0.199278 | − | 0.0454840i | ||||
\(980\) | −5.50944e11 | − | 6.90862e11i | −0.597315 | − | 0.749009i | ||||
\(981\) | −2.89779e11 | + | 3.63372e11i | −0.312890 | + | 0.392351i | ||||
\(982\) | −8.95393e10 | − | 3.92297e11i | −0.0962870 | − | 0.421861i | ||||
\(983\) | −2.05150e11 | − | 3.26495e11i | −0.219714 | − | 0.349673i | 0.718620 | − | 0.695403i | \(-0.244774\pi\) |
−0.938334 | + | 0.345730i | \(0.887631\pi\) | |||||||
\(984\) | 2.75543e10 | + | 2.44551e11i | 0.0293907 | + | 0.260849i | ||||
\(985\) | − | 2.24845e11i | − | 0.238857i | ||||||
\(986\) | −2.35450e11 | − | 5.85542e10i | −0.249109 | − | 0.0619513i | ||||
\(987\) | −5.54227e11 | −0.584008 | ||||||||
\(988\) | 2.39723e11 | − | 2.70103e10i | 0.251583 | − | 0.0283466i | ||||
\(989\) | −3.25113e11 | + | 2.04282e11i | −0.339820 | + | 0.213523i | ||||
\(990\) | 1.85966e11 | − | 4.24456e10i | 0.193595 | − | 0.0441867i | ||||
\(991\) | −6.92873e11 | − | 5.52548e11i | −0.718388 | − | 0.572896i | 0.194599 | − | 0.980883i | \(-0.437659\pi\) |
−0.912988 | + | 0.407987i | \(0.866231\pi\) | |||||||
\(992\) | 5.42464e11 | − | 4.32600e11i | 0.560175 | − | 0.446725i | ||||
\(993\) | 4.16193e11 | − | 1.82346e12i | 0.428054 | − | 1.87543i | ||||
\(994\) | −1.95136e11 | + | 6.82810e10i | −0.199890 | + | 0.0699446i | ||||
\(995\) | −1.07625e12 | + | 2.23486e12i | −1.09805 | + | 2.28012i | ||||
\(996\) | −1.77758e12 | − | 1.11693e12i | −1.80631 | − | 1.13498i | ||||
\(997\) | −1.33011e12 | − | 4.65427e11i | −1.34620 | − | 0.471054i | −0.441556 | − | 0.897233i | \(-0.645574\pi\) |
−0.904639 | + | 0.426179i | \(0.859859\pi\) | |||||||
\(998\) | 5.73017e11 | − | 5.73017e11i | 0.577624 | − | 0.577624i | ||||
\(999\) | −1.48489e11 | − | 3.08340e11i | −0.149084 | − | 0.309577i |
(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 | 29.9.f.a.15.5 | yes | 228 | |
29.2 | odd | 28 | inner | 29.9.f.a.2.5 | ✓ | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.9.f.a.2.5 | ✓ | 228 | 29.2 | odd | 28 | inner | |
29.9.f.a.15.5 | yes | 228 | 1.1 | even | 1 | trivial |