Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,8,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
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("27.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(8.43439568807\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.11 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.8.e.a.7.11 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.493529 | − | 0.179630i | −0.0436222 | − | 0.0158772i | 0.320117 | − | 0.947378i | \(-0.396278\pi\) |
−0.363739 | + | 0.931501i | \(0.618500\pi\) | |||||||
\(3\) | −38.9037 | + | 25.9520i | −0.831891 | + | 0.554940i | ||||
\(4\) | −97.8424 | − | 82.0995i | −0.764394 | − | 0.641402i | ||||
\(5\) | −47.2754 | + | 268.112i | −0.169138 | + | 0.959228i | 0.775557 | + | 0.631277i | \(0.217469\pi\) |
−0.944695 | + | 0.327950i | \(0.893642\pi\) | |||||||
\(6\) | 23.8618 | − | 5.81978i | 0.0450998 | − | 0.0109996i | ||||
\(7\) | 932.688 | − | 782.618i | 1.02776 | − | 0.862396i | 0.0371805 | − | 0.999309i | \(-0.488162\pi\) |
0.990583 | + | 0.136912i | \(0.0437179\pi\) | |||||||
\(8\) | 67.1535 | + | 116.313i | 0.0463717 | + | 0.0803182i | ||||
\(9\) | 839.991 | − | 2019.25i | 0.384084 | − | 0.923298i | ||||
\(10\) | 71.4927 | − | 123.829i | 0.0226080 | − | 0.0391582i | ||||
\(11\) | 163.525 | + | 927.398i | 0.0370434 | + | 0.210083i | 0.997711 | − | 0.0676158i | \(-0.0215392\pi\) |
−0.960668 | + | 0.277699i | \(0.910428\pi\) | |||||||
\(12\) | 5937.07 | + | 654.770i | 0.991832 | + | 0.109384i | ||||
\(13\) | 7907.66 | − | 2878.15i | 0.998266 | − | 0.363339i | 0.209350 | − | 0.977841i | \(-0.432865\pi\) |
0.788916 | + | 0.614502i | \(0.210643\pi\) | |||||||
\(14\) | −600.890 | + | 218.706i | −0.0585257 | + | 0.0213016i | ||||
\(15\) | −5118.85 | − | 11657.4i | −0.391610 | − | 0.891834i | ||||
\(16\) | 2826.67 | + | 16030.9i | 0.172526 | + | 0.978446i | ||||
\(17\) | 10208.4 | − | 17681.4i | 0.503947 | − | 0.872861i | −0.496043 | − | 0.868298i | \(-0.665214\pi\) |
0.999990 | − | 0.00456334i | \(-0.00145256\pi\) | |||||||
\(18\) | −777.278 | + | 845.672i | −0.0314139 | + | 0.0341781i | ||||
\(19\) | −23788.0 | − | 41202.0i | −0.795646 | − | 1.37810i | −0.922428 | − | 0.386169i | \(-0.873798\pi\) |
0.126782 | − | 0.991931i | \(-0.459535\pi\) | |||||||
\(20\) | 26637.4 | − | 22351.5i | 0.744539 | − | 0.624742i | ||||
\(21\) | −15974.5 | + | 54651.8i | −0.376409 | + | 1.28777i | ||||
\(22\) | 85.8839 | − | 487.072i | 0.00171962 | − | 0.00975244i | ||||
\(23\) | 62547.7 | + | 52483.8i | 1.07192 | + | 0.899452i | 0.995225 | − | 0.0976027i | \(-0.0311174\pi\) |
0.0766992 | + | 0.997054i | \(0.475562\pi\) | |||||||
\(24\) | −5631.07 | − | 2782.25i | −0.0831480 | − | 0.0410824i | ||||
\(25\) | 3764.23 | + | 1370.07i | 0.0481822 | + | 0.0175369i | ||||
\(26\) | −4419.66 | −0.0493154 | ||||||||
\(27\) | 19724.8 | + | 100356.i | 0.192859 | + | 0.981226i | ||||
\(28\) | −155509. | −1.33876 | ||||||||
\(29\) | −147074. | − | 53530.6i | −1.11981 | − | 0.407576i | −0.285225 | − | 0.958460i | \(-0.592068\pi\) |
−0.834582 | + | 0.550884i | \(0.814291\pi\) | |||||||
\(30\) | 432.277 | + | 6672.78i | 0.00292306 | + | 0.0451214i | ||||
\(31\) | −79745.9 | − | 66914.7i | −0.480775 | − | 0.403418i | 0.369931 | − | 0.929059i | \(-0.379381\pi\) |
−0.850707 | + | 0.525641i | \(0.823826\pi\) | |||||||
\(32\) | 4469.81 | − | 25349.6i | 0.0241137 | − | 0.136756i | ||||
\(33\) | −30429.5 | − | 31835.4i | −0.147400 | − | 0.154210i | ||||
\(34\) | −8214.22 | + | 6892.55i | −0.0358418 | + | 0.0300749i | ||||
\(35\) | 165736. | + | 287064.i | 0.653401 | + | 1.13172i | ||||
\(36\) | −247966. | + | 128606.i | −0.885797 | + | 0.459411i | ||||
\(37\) | 108488. | − | 187906.i | 0.352107 | − | 0.609866i | −0.634512 | − | 0.772913i | \(-0.718799\pi\) |
0.986618 | + | 0.163047i | \(0.0521321\pi\) | |||||||
\(38\) | 4338.95 | + | 24607.4i | 0.0128275 | + | 0.0727483i | ||||
\(39\) | −232943. | + | 317190.i | −0.628817 | + | 0.856236i | ||||
\(40\) | −34359.7 | + | 12505.9i | −0.0848867 | + | 0.0308962i | ||||
\(41\) | 708955. | − | 258038.i | 1.60648 | − | 0.584711i | 0.625740 | − | 0.780032i | \(-0.284797\pi\) |
0.980739 | + | 0.195321i | \(0.0625750\pi\) | |||||||
\(42\) | 17701.0 | − | 24102.7i | 0.0368659 | − | 0.0501989i | ||||
\(43\) | −51214.9 | − | 290454.i | −0.0982329 | − | 0.557106i | −0.993709 | − | 0.111996i | \(-0.964276\pi\) |
0.895476 | − | 0.445110i | \(-0.146835\pi\) | |||||||
\(44\) | 60139.2 | − | 104164.i | 0.106432 | − | 0.184346i | ||||
\(45\) | 501676. | + | 320673.i | 0.820690 | + | 0.524588i | ||||
\(46\) | −21441.5 | − | 37137.7i | −0.0324789 | − | 0.0562552i | ||||
\(47\) | 708465. | − | 594473.i | 0.995350 | − | 0.835198i | 0.00901683 | − | 0.999959i | \(-0.497130\pi\) |
0.986333 | + | 0.164761i | \(0.0526854\pi\) | |||||||
\(48\) | −526000. | − | 550301.i | −0.686501 | − | 0.718218i | ||||
\(49\) | 114409. | − | 648846.i | 0.138923 | − | 0.787871i | ||||
\(50\) | −1611.65 | − | 1352.34i | −0.00182338 | − | 0.00152999i | ||||
\(51\) | 61724.3 | + | 952798.i | 0.0651569 | + | 1.00579i | ||||
\(52\) | −1.01000e6 | − | 367610.i | −0.996115 | − | 0.362556i | ||||
\(53\) | 161235. | 0.148763 | 0.0743815 | − | 0.997230i | \(-0.476302\pi\) | ||||
0.0743815 | + | 0.997230i | \(0.476302\pi\) | |||||||
\(54\) | 8292.11 | − | 53071.6i | 0.00716617 | − | 0.0458653i | ||||
\(55\) | −256378. | −0.207783 | ||||||||
\(56\) | 153662. | + | 55928.4i | 0.116925 | + | 0.0425573i | ||||
\(57\) | 1.99471e6 | + | 985564.i | 1.42665 | + | 0.704892i | ||||
\(58\) | 62969.6 | + | 52837.8i | 0.0423773 | + | 0.0355588i | ||||
\(59\) | 124070. | − | 703638.i | 0.0786477 | − | 0.446034i | −0.919900 | − | 0.392154i | \(-0.871730\pi\) |
0.998547 | − | 0.0538798i | \(-0.0171588\pi\) | |||||||
\(60\) | −456230. | + | 1.56085e6i | −0.272681 | + | 0.932891i | ||||
\(61\) | −768904. | + | 645187.i | −0.433728 | + | 0.363941i | −0.833356 | − | 0.552736i | \(-0.813584\pi\) |
0.399628 | + | 0.916677i | \(0.369139\pi\) | |||||||
\(62\) | 27337.0 | + | 47349.1i | 0.0145673 | + | 0.0252314i | ||||
\(63\) | −796854. | − | 2.54073e6i | −0.401501 | − | 1.28016i | ||||
\(64\) | 1.03504e6 | − | 1.79275e6i | 0.493547 | − | 0.854848i | ||||
\(65\) | 397830. | + | 2.25621e6i | 0.179681 | + | 1.01902i | ||||
\(66\) | 9299.27 | + | 21177.7i | 0.00398148 | + | 0.00906725i | ||||
\(67\) | 270542. | − | 98469.2i | 0.109894 | − | 0.0399980i | −0.286488 | − | 0.958084i | \(-0.592488\pi\) |
0.396382 | + | 0.918086i | \(0.370266\pi\) | |||||||
\(68\) | −2.45044e6 | + | 891889.i | −0.945069 | + | 0.343977i | ||||
\(69\) | −3.79539e6 | − | 418575.i | −1.39087 | − | 0.153392i | ||||
\(70\) | −30230.5 | − | 171445.i | −0.0105342 | − | 0.0597424i | ||||
\(71\) | 331804. | − | 574701.i | 0.110021 | − | 0.190563i | −0.805757 | − | 0.592246i | \(-0.798241\pi\) |
0.915779 | + | 0.401683i | \(0.131575\pi\) | |||||||
\(72\) | 291274. | − | 37897.8i | 0.0919683 | − | 0.0119660i | ||||
\(73\) | 1.60739e6 | + | 2.78409e6i | 0.483606 | + | 0.837631i | 0.999823 | − | 0.0188276i | \(-0.00599336\pi\) |
−0.516217 | + | 0.856458i | \(0.672660\pi\) | |||||||
\(74\) | −87295.3 | + | 73249.4i | −0.0250426 | + | 0.0210133i | ||||
\(75\) | −181999. | + | 44388.5i | −0.0498142 | + | 0.0121494i | ||||
\(76\) | −1.05519e6 | + | 5.98428e6i | −0.275730 | + | 1.56374i | ||||
\(77\) | 878317. | + | 736995.i | 0.219247 | + | 0.183970i | ||||
\(78\) | 171941. | − | 114699.i | 0.0410250 | − | 0.0273670i | ||||
\(79\) | −385748. | − | 140401.i | −0.0880255 | − | 0.0320387i | 0.297632 | − | 0.954681i | \(-0.403803\pi\) |
−0.385658 | + | 0.922642i | \(0.626025\pi\) | |||||||
\(80\) | −4.43170e6 | −0.967733 | ||||||||
\(81\) | −3.37180e6 | − | 3.39231e6i | −0.704959 | − | 0.709248i | ||||
\(82\) | −396241. | −0.0793617 | ||||||||
\(83\) | −9.30945e6 | − | 3.38836e6i | −1.78711 | − | 0.650454i | −0.999408 | − | 0.0343953i | \(-0.989049\pi\) |
−0.787700 | − | 0.616059i | \(-0.788728\pi\) | |||||||
\(84\) | 6.04987e6 | − | 4.03576e6i | 1.11370 | − | 0.742931i | ||||
\(85\) | 4.25800e6 | + | 3.57288e6i | 0.752037 | + | 0.631034i | ||||
\(86\) | −26898.2 | + | 152547.i | −0.00456014 | + | 0.0258619i | ||||
\(87\) | 7.11095e6 | − | 1.73433e6i | 1.15774 | − | 0.282366i | ||||
\(88\) | −96887.4 | + | 81298.2i | −0.0151558 | + | 0.0127172i | ||||
\(89\) | 5.57596e6 | + | 9.65785e6i | 0.838407 | + | 1.45216i | 0.891226 | + | 0.453559i | \(0.149846\pi\) |
−0.0528195 | + | 0.998604i | \(0.516821\pi\) | |||||||
\(90\) | −189989. | − | 248377.i | −0.0274713 | − | 0.0359139i | ||||
\(91\) | 5.12289e6 | − | 8.87310e6i | 0.712639 | − | 1.23433i | ||||
\(92\) | −1.81093e6 | − | 1.02703e7i | −0.242462 | − | 1.37507i | ||||
\(93\) | 4.83897e6 | + | 533667.i | 0.623825 | + | 0.0687986i | ||||
\(94\) | −456433. | + | 166128.i | −0.0566799 | + | 0.0206298i | ||||
\(95\) | 1.21713e7 | − | 4.43001e6i | 1.45649 | − | 0.530117i | ||||
\(96\) | 483979. | + | 1.10219e6i | 0.0558312 | + | 0.127147i | ||||
\(97\) | 270092. | + | 1.53177e6i | 0.0300476 | + | 0.170409i | 0.996139 | − | 0.0877928i | \(-0.0279813\pi\) |
−0.966091 | + | 0.258201i | \(0.916870\pi\) | |||||||
\(98\) | −173016. | + | 299673.i | −0.0185693 | + | 0.0321630i | ||||
\(99\) | 2.01001e6 | + | 448807.i | 0.208197 | + | 0.0464876i | ||||
\(100\) | −255820. | − | 443093.i | −0.0255820 | − | 0.0443093i | ||||
\(101\) | −9.96415e6 | + | 8.36091e6i | −0.962311 | + | 0.807474i | −0.981327 | − | 0.192345i | \(-0.938391\pi\) |
0.0190169 | + | 0.999819i | \(0.493946\pi\) | |||||||
\(102\) | 140688. | − | 481321.i | 0.0131267 | − | 0.0449091i | ||||
\(103\) | −194321. | + | 1.10205e6i | −0.0175223 | + | 0.0993737i | −0.992315 | − | 0.123740i | \(-0.960511\pi\) |
0.974792 | + | 0.223114i | \(0.0716222\pi\) | |||||||
\(104\) | 865794. | + | 726487.i | 0.0754741 | + | 0.0633303i | ||||
\(105\) | −1.38976e7 | − | 6.86665e6i | −1.17160 | − | 0.578872i | ||||
\(106\) | −79574.3 | − | 28962.7i | −0.00648937 | − | 0.00236194i | ||||
\(107\) | −1.73090e7 | −1.36593 | −0.682966 | − | 0.730451i | \(-0.739310\pi\) | ||||
−0.682966 | + | 0.730451i | \(0.739310\pi\) | |||||||
\(108\) | 6.30924e6 | − | 1.14384e7i | 0.481941 | − | 0.873744i | ||||
\(109\) | 3.57204e6 | 0.264195 | 0.132097 | − | 0.991237i | \(-0.457829\pi\) | ||||
0.132097 | + | 0.991237i | \(0.457829\pi\) | |||||||
\(110\) | 126530. | + | 46053.1i | 0.00906396 | + | 0.00329901i | ||||
\(111\) | 655965. | + | 1.01257e7i | 0.0455250 | + | 0.702740i | ||||
\(112\) | 1.51824e7 | + | 1.27396e7i | 1.02112 | + | 0.856825i | ||||
\(113\) | 1.47474e6 | − | 8.36366e6i | 0.0961481 | − | 0.545283i | −0.898241 | − | 0.439502i | \(-0.855155\pi\) |
0.994390 | − | 0.105780i | \(-0.0337341\pi\) | |||||||
\(114\) | −807411. | − | 844714.i | −0.0510420 | − | 0.0534002i | ||||
\(115\) | −1.70285e7 | + | 1.42886e7i | −1.04408 | + | 0.876089i | ||||
\(116\) | 9.99525e6 | + | 1.73123e7i | 0.594553 | + | 1.02980i | ||||
\(117\) | 830646. | − | 1.83852e7i | 0.0479474 | − | 1.06125i | ||||
\(118\) | −187627. | + | 324979.i | −0.0105125 | + | 0.0182083i | ||||
\(119\) | −4.31657e6 | − | 2.44805e7i | −0.234814 | − | 1.33170i | ||||
\(120\) | 1.01217e6 | − | 1.37823e6i | 0.0534709 | − | 0.0728093i | ||||
\(121\) | 1.74786e7 | − | 6.36170e6i | 0.896930 | − | 0.326456i | ||||
\(122\) | 495371. | − | 180300.i | 0.0246985 | − | 0.00898953i | ||||
\(123\) | −2.08843e7 | + | 2.84374e7i | −1.01194 | + | 1.37791i | ||||
\(124\) | 2.30886e6 | + | 1.30942e7i | 0.108748 | + | 0.616741i | ||||
\(125\) | −1.11800e7 | + | 1.93643e7i | −0.511984 | + | 0.886782i | ||||
\(126\) | −63119.4 | + | 1.39706e6i | −0.00281103 | + | 0.0622183i | ||||
\(127\) | −1.53527e7 | − | 2.65916e7i | −0.665076 | − | 1.15194i | −0.979265 | − | 0.202584i | \(-0.935066\pi\) |
0.314189 | − | 0.949360i | \(-0.398267\pi\) | |||||||
\(128\) | −3.35682e6 | + | 2.81670e6i | −0.141479 | + | 0.118715i | ||||
\(129\) | 9.53030e6 | + | 9.97061e6i | 0.390879 | + | 0.408938i | ||||
\(130\) | 208941. | − | 1.18497e6i | 0.00834109 | − | 0.0473047i | ||||
\(131\) | 2.22439e7 | + | 1.86648e7i | 0.864491 | + | 0.725394i | 0.962931 | − | 0.269749i | \(-0.0869407\pi\) |
−0.0984395 | + | 0.995143i | \(0.531385\pi\) | |||||||
\(132\) | 363629. | + | 5.61310e6i | 0.0137610 | + | 0.212419i | ||||
\(133\) | −5.44322e7 | − | 1.98117e7i | −2.00620 | − | 0.730198i | ||||
\(134\) | −151208. | −0.00542886 | ||||||||
\(135\) | −2.78391e7 | + | 544109.i | −0.973839 | + | 0.0190335i | ||||
\(136\) | 2.74211e6 | 0.0934756 | ||||||||
\(137\) | 1.88277e7 | + | 6.85273e6i | 0.625570 | + | 0.227689i | 0.635302 | − | 0.772264i | \(-0.280876\pi\) |
−0.00973224 | + | 0.999953i | \(0.503098\pi\) | |||||||
\(138\) | 1.79795e6 | + | 888345.i | 0.0582372 | + | 0.0287743i | ||||
\(139\) | −5.45170e6 | − | 4.57452e6i | −0.172179 | − | 0.144475i | 0.552626 | − | 0.833429i | \(-0.313626\pi\) |
−0.724805 | + | 0.688954i | \(0.758070\pi\) | |||||||
\(140\) | 7.35176e6 | − | 4.16939e7i | 0.226435 | − | 1.28417i | ||||
\(141\) | −1.21342e7 | + | 4.15132e7i | −0.364538 | + | 1.24715i | ||||
\(142\) | −266988. | + | 224030.i | −0.00782498 | + | 0.00656594i | ||||
\(143\) | 3.96230e6 | + | 6.86290e6i | 0.113311 | + | 0.196260i | ||||
\(144\) | 3.47447e7 | + | 7.75801e6i | 0.969662 | + | 0.216512i | ||||
\(145\) | 2.13052e7 | − | 3.69017e7i | 0.580360 | − | 1.00521i | ||||
\(146\) | −293190. | − | 1.66276e6i | −0.00779675 | − | 0.0442176i | ||||
\(147\) | 1.23879e7 | + | 2.82116e7i | 0.321652 | + | 0.732516i | ||||
\(148\) | −2.60417e7 | + | 9.47840e6i | −0.660318 | + | 0.240336i | ||||
\(149\) | 4.44226e7 | − | 1.61685e7i | 1.10015 | − | 0.400422i | 0.272779 | − | 0.962077i | \(-0.412057\pi\) |
0.827372 | + | 0.561655i | \(0.189835\pi\) | |||||||
\(150\) | 97795.0 | + | 10785.3i | 0.00236590 | + | 0.000260924i | ||||
\(151\) | −1.09228e7 | − | 6.19465e7i | −0.258176 | − | 1.46419i | −0.787787 | − | 0.615948i | \(-0.788773\pi\) |
0.529611 | − | 0.848241i | \(-0.322338\pi\) | |||||||
\(152\) | 3.19489e6 | − | 5.53371e6i | 0.0737910 | − | 0.127810i | ||||
\(153\) | −2.71283e7 | − | 3.54655e7i | −0.612354 | − | 0.800545i | ||||
\(154\) | −301088. | − | 521500.i | −0.00664311 | − | 0.0115062i | ||||
\(155\) | 2.17107e7 | − | 1.82174e7i | 0.468287 | − | 0.392940i | ||||
\(156\) | 4.88329e7 | − | 1.19101e7i | 1.02986 | − | 0.251177i | ||||
\(157\) | −1.01165e7 | + | 5.73735e7i | −0.208632 | + | 1.18321i | 0.682989 | + | 0.730429i | \(0.260680\pi\) |
−0.891621 | + | 0.452783i | \(0.850431\pi\) | |||||||
\(158\) | 165157. | + | 138584.i | 0.00333118 | + | 0.00279519i | ||||
\(159\) | −6.27265e6 | + | 4.18438e6i | −0.123755 | + | 0.0825545i | ||||
\(160\) | 6.58522e6 | + | 2.39682e6i | 0.127101 | + | 0.0462611i | ||||
\(161\) | 9.94123e7 | 1.87737 | ||||||||
\(162\) | 1.05472e6 | + | 2.27988e6i | 0.0194910 | + | 0.0421317i | ||||
\(163\) | 7.61459e7 | 1.37718 | 0.688589 | − | 0.725152i | \(-0.258231\pi\) | ||||
0.688589 | + | 0.725152i | \(0.258231\pi\) | |||||||
\(164\) | −9.05507e7 | − | 3.29577e7i | −1.60302 | − | 0.583451i | ||||
\(165\) | 9.97403e6 | − | 6.65350e6i | 0.172853 | − | 0.115307i | ||||
\(166\) | 3.98583e6 | + | 3.34451e6i | 0.0676302 | + | 0.0567485i | ||||
\(167\) | −2.03305e6 | + | 1.15300e7i | −0.0337785 | + | 0.191567i | −0.997028 | − | 0.0770413i | \(-0.975453\pi\) |
0.963249 | + | 0.268608i | \(0.0865638\pi\) | |||||||
\(168\) | −7.42947e6 | + | 1.81201e6i | −0.120886 | + | 0.0294835i | ||||
\(169\) | 6.17918e6 | − | 5.18495e6i | 0.0984754 | − | 0.0826306i | ||||
\(170\) | −1.45965e6 | − | 2.52818e6i | −0.0227864 | − | 0.0394673i | ||||
\(171\) | −1.03179e8 | + | 1.34246e7i | −1.57799 | + | 0.205313i | ||||
\(172\) | −1.88352e7 | + | 3.26234e7i | −0.282241 | + | 0.488855i | ||||
\(173\) | 6.93835e6 | + | 3.93493e7i | 0.101881 | + | 0.577798i | 0.992420 | + | 0.122891i | \(0.0392165\pi\) |
−0.890539 | + | 0.454907i | \(0.849672\pi\) | |||||||
\(174\) | −3.82099e6 | − | 421399.i | −0.0549862 | − | 0.00606416i | ||||
\(175\) | 4.58310e6 | − | 1.66811e6i | 0.0646437 | − | 0.0235284i | ||||
\(176\) | −1.44048e7 | + | 5.24290e6i | −0.199164 | + | 0.0724899i | ||||
\(177\) | 1.34340e7 | + | 3.05940e7i | 0.182095 | + | 0.414696i | ||||
\(178\) | −1.01706e6 | − | 5.76803e6i | −0.0135169 | − | 0.0766581i | ||||
\(179\) | −2.91501e7 | + | 5.04894e7i | −0.379886 | + | 0.657983i | −0.991045 | − | 0.133525i | \(-0.957370\pi\) |
0.611159 | + | 0.791508i | \(0.290704\pi\) | |||||||
\(180\) | −2.27580e7 | − | 7.25628e7i | −0.290858 | − | 0.927385i | ||||
\(181\) | −5.86779e7 | − | 1.01633e8i | −0.735529 | − | 1.27397i | −0.954491 | − | 0.298240i | \(-0.903600\pi\) |
0.218962 | − | 0.975733i | \(-0.429733\pi\) | |||||||
\(182\) | −4.12216e6 | + | 3.45891e6i | −0.0506845 | + | 0.0425294i | ||||
\(183\) | 1.31693e7 | − | 4.50547e7i | 0.158849 | − | 0.543452i | ||||
\(184\) | −1.90426e6 | + | 1.07996e7i | −0.0225353 | + | 0.127804i | ||||
\(185\) | 4.52511e7 | + | 3.79702e7i | 0.525446 | + | 0.440902i | ||||
\(186\) | −2.29231e6 | − | 1.13260e6i | −0.0261203 | − | 0.0129057i | ||||
\(187\) | 1.80670e7 | + | 6.57586e6i | 0.202042 | + | 0.0735371i | ||||
\(188\) | −1.18124e8 | −1.29654 | ||||||||
\(189\) | 9.69374e7 | + | 7.81636e7i | 1.04442 | + | 0.842148i | ||||
\(190\) | −6.80267e6 | −0.0719518 | ||||||||
\(191\) | −1.26890e7 | − | 4.61841e6i | −0.131768 | − | 0.0479596i | 0.275295 | − | 0.961360i | \(-0.411225\pi\) |
−0.407062 | + | 0.913400i | \(0.633447\pi\) | |||||||
\(192\) | 6.25833e6 | + | 9.66058e7i | 0.0638122 | + | 0.985029i | ||||
\(193\) | 5.06168e7 | + | 4.24725e7i | 0.506809 | + | 0.425263i | 0.860005 | − | 0.510286i | \(-0.170461\pi\) |
−0.353196 | + | 0.935549i | \(0.614905\pi\) | |||||||
\(194\) | 141853. | − | 804487.i | 0.00139486 | − | 0.00791066i | ||||
\(195\) | −7.40301e7 | − | 7.74503e7i | −0.714969 | − | 0.748000i | ||||
\(196\) | −6.44640e7 | + | 5.40917e7i | −0.611534 | + | 0.513138i | ||||
\(197\) | −3.78903e7 | − | 6.56279e7i | −0.353098 | − | 0.611584i | 0.633692 | − | 0.773585i | \(-0.281539\pi\) |
−0.986791 | + | 0.162001i | \(0.948205\pi\) | |||||||
\(198\) | −911379. | − | 582557.i | −0.00834394 | − | 0.00533348i | ||||
\(199\) | −2.14710e7 | + | 3.71888e7i | −0.193137 | + | 0.334523i | −0.946288 | − | 0.323324i | \(-0.895200\pi\) |
0.753151 | + | 0.657847i | \(0.228533\pi\) | |||||||
\(200\) | 93424.2 | + | 529835.i | 0.000825761 | + | 0.00468312i | ||||
\(201\) | −7.96961e6 | + | 1.08519e7i | −0.0692230 | + | 0.0942584i | ||||
\(202\) | 6.41946e6 | − | 2.33649e6i | 0.0547985 | − | 0.0199450i | ||||
\(203\) | −1.79068e8 | + | 6.51755e7i | −1.50239 | + | 0.546825i | ||||
\(204\) | 7.21850e7 | − | 9.82916e7i | 0.595308 | − | 0.810608i | ||||
\(205\) | 3.56671e7 | + | 2.02278e8i | 0.289154 | + | 1.63988i | ||||
\(206\) | 293864. | − | 508988.i | 0.00234213 | − | 0.00405669i | ||||
\(207\) | 1.58518e8 | − | 8.22138e7i | 1.24217 | − | 0.644241i | ||||
\(208\) | 6.84916e7 | + | 1.18631e8i | 0.527735 | + | 0.914063i | ||||
\(209\) | 3.43207e7 | − | 2.87985e7i | 0.260042 | − | 0.218202i | ||||
\(210\) | 5.62542e6 | + | 5.88532e6i | 0.0419167 | + | 0.0438533i | ||||
\(211\) | 2.58685e7 | − | 1.46708e8i | 0.189576 | − | 1.07514i | −0.730358 | − | 0.683064i | \(-0.760647\pi\) |
0.919934 | − | 0.392073i | \(-0.128242\pi\) | |||||||
\(212\) | −1.57757e7 | − | 1.32374e7i | −0.113714 | − | 0.0954170i | ||||
\(213\) | 2.00624e6 | + | 3.09690e7i | 0.0142250 | + | 0.219583i | ||||
\(214\) | 8.54249e6 | + | 3.10921e6i | 0.0595849 | + | 0.0216871i | ||||
\(215\) | 8.02955e7 | 0.551007 | ||||||||
\(216\) | −1.03481e7 | + | 9.03350e6i | −0.0698671 | + | 0.0609913i | ||||
\(217\) | −1.26747e8 | −0.842030 | ||||||||
\(218\) | −1.76291e6 | − | 641645.i | −0.0115247 | − | 0.00419466i | ||||
\(219\) | −1.34786e8 | − | 6.65961e7i | −0.867142 | − | 0.428445i | ||||
\(220\) | 2.50846e7 | + | 2.10485e7i | 0.158828 | + | 0.133273i | ||||
\(221\) | 2.98345e7 | − | 1.69200e8i | 0.185928 | − | 1.05445i | ||||
\(222\) | 1.49514e6 | − | 5.11516e6i | 0.00917163 | − | 0.0313779i | ||||
\(223\) | 1.38018e8 | − | 1.15811e8i | 0.833428 | − | 0.699329i | −0.122647 | − | 0.992450i | \(-0.539138\pi\) |
0.956075 | + | 0.293121i | \(0.0946939\pi\) | |||||||
\(224\) | −1.56701e7 | − | 2.71414e7i | −0.0931544 | − | 0.161348i | ||||
\(225\) | 5.92844e6 | − | 6.45010e6i | 0.0346978 | − | 0.0377509i | ||||
\(226\) | −2.23019e6 | + | 3.86280e6i | −0.0128517 | + | 0.0222599i | ||||
\(227\) | 2.53958e6 | + | 1.44027e7i | 0.0144103 | + | 0.0817246i | 0.991165 | − | 0.132636i | \(-0.0423442\pi\) |
−0.976755 | + | 0.214361i | \(0.931233\pi\) | |||||||
\(228\) | −1.14253e8 | − | 2.60195e8i | −0.638405 | − | 1.45387i | ||||
\(229\) | 1.58874e8 | − | 5.78255e7i | 0.874238 | − | 0.318197i | 0.134356 | − | 0.990933i | \(-0.457103\pi\) |
0.739882 | + | 0.672737i | \(0.234881\pi\) | |||||||
\(230\) | 1.09707e7 | − | 3.99302e6i | 0.0594550 | − | 0.0216398i | ||||
\(231\) | −5.32962e7 | − | 5.87778e6i | −0.284482 | − | 0.0313741i | ||||
\(232\) | −3.65022e6 | − | 2.07014e7i | −0.0191916 | − | 0.108841i | ||||
\(233\) | −1.09328e8 | + | 1.89362e8i | −0.566223 | + | 0.980726i | 0.430712 | + | 0.902489i | \(0.358262\pi\) |
−0.996935 | + | 0.0782370i | \(0.975071\pi\) | |||||||
\(234\) | −3.71248e6 | + | 8.92441e6i | −0.0189412 | + | 0.0455328i | ||||
\(235\) | 1.25892e8 | + | 2.18052e8i | 0.632794 | + | 1.09603i | ||||
\(236\) | −6.99077e7 | + | 5.86595e7i | −0.346205 | + | 0.290500i | ||||
\(237\) | 1.86507e7 | − | 4.54881e6i | 0.0910071 | − | 0.0221962i | ||||
\(238\) | −2.26707e6 | + | 1.28572e7i | −0.0109005 | + | 0.0618197i | ||||
\(239\) | 1.10737e8 | + | 9.29198e7i | 0.524689 | + | 0.440266i | 0.866263 | − | 0.499589i | \(-0.166516\pi\) |
−0.341574 | + | 0.939855i | \(0.610960\pi\) | |||||||
\(240\) | 1.72409e8 | − | 1.15011e8i | 0.805048 | − | 0.537033i | ||||
\(241\) | 1.95586e8 | + | 7.11875e7i | 0.900074 | + | 0.327600i | 0.750282 | − | 0.661118i | \(-0.229918\pi\) |
0.149791 | + | 0.988718i | \(0.452140\pi\) | |||||||
\(242\) | −9.76895e6 | −0.0443092 | ||||||||
\(243\) | 2.19212e8 | + | 4.44685e7i | 0.980039 | + | 0.198807i | ||||
\(244\) | 1.28201e8 | 0.564972 | ||||||||
\(245\) | 1.68555e8 | + | 6.13489e7i | 0.732251 | + | 0.266517i | ||||
\(246\) | 1.54152e7 | − | 1.02832e7i | 0.0660202 | − | 0.0440410i | ||||
\(247\) | −3.06693e8 | − | 2.57346e8i | −1.29498 | − | 1.08662i | ||||
\(248\) | 2.42786e6 | − | 1.37691e7i | 0.0101075 | − | 0.0573222i | ||||
\(249\) | 4.50107e8 | − | 1.09779e8i | 1.84764 | − | 0.450631i | ||||
\(250\) | 8.99605e6 | − | 7.54859e6i | 0.0364135 | − | 0.0305545i | ||||
\(251\) | −1.32238e8 | − | 2.29043e8i | −0.527836 | − | 0.914238i | −0.999473 | − | 0.0324457i | \(-0.989670\pi\) |
0.471638 | − | 0.881792i | \(-0.343663\pi\) | |||||||
\(252\) | −1.30626e8 | + | 3.14012e8i | −0.514196 | + | 1.23607i | ||||
\(253\) | −3.84452e7 | + | 6.65891e7i | −0.149252 | + | 0.258512i | ||||
\(254\) | 2.80034e6 | + | 1.58815e7i | 0.0107224 | + | 0.0608099i | ||||
\(255\) | −2.58375e8 | − | 2.84949e7i | −0.975798 | − | 0.107616i | ||||
\(256\) | −2.46829e8 | + | 8.98382e7i | −0.919508 | + | 0.334673i | ||||
\(257\) | −5.02354e8 | + | 1.82842e8i | −1.84605 | + | 0.671908i | −0.858895 | + | 0.512151i | \(0.828849\pi\) |
−0.987156 | + | 0.159757i | \(0.948929\pi\) | |||||||
\(258\) | −2.91246e6 | − | 6.63271e6i | −0.0105582 | − | 0.0240448i | ||||
\(259\) | −4.58736e7 | − | 2.60162e8i | −0.164064 | − | 0.930454i | ||||
\(260\) | 1.46309e8 | − | 2.53414e8i | 0.516255 | − | 0.894179i | ||||
\(261\) | −2.31633e8 | + | 2.52015e8i | −0.806414 | + | 0.877372i | ||||
\(262\) | −7.62523e6 | − | 1.32073e7i | −0.0261938 | − | 0.0453690i | ||||
\(263\) | 1.24293e7 | − | 1.04295e7i | 0.0421311 | − | 0.0353522i | −0.621479 | − | 0.783431i | \(-0.713468\pi\) |
0.663610 | + | 0.748079i | \(0.269023\pi\) | |||||||
\(264\) | 1.65943e6 | − | 5.67721e6i | 0.00555066 | − | 0.0189898i | ||||
\(265\) | −7.62248e6 | + | 4.32292e7i | −0.0251614 | + | 0.142698i | ||||
\(266\) | 2.33051e7 | + | 1.95553e7i | 0.0759215 | + | 0.0637057i | ||||
\(267\) | −4.67566e8 | − | 2.31019e8i | −1.50333 | − | 0.742776i | ||||
\(268\) | −3.45548e7 | − | 1.25769e7i | −0.109657 | − | 0.0399118i | ||||
\(269\) | 3.33238e8 | 1.04381 | 0.521905 | − | 0.853004i | \(-0.325222\pi\) | ||||
0.521905 | + | 0.853004i | \(0.325222\pi\) | |||||||
\(270\) | 1.38371e7 | + | 4.73220e6i | 0.0427832 | + | 0.0146315i | ||||
\(271\) | −5.43961e8 | −1.66026 | −0.830128 | − | 0.557573i | \(-0.811733\pi\) | ||||
−0.830128 | + | 0.557573i | \(0.811733\pi\) | |||||||
\(272\) | 3.12304e8 | + | 1.13669e8i | 0.940991 | + | 0.342493i | ||||
\(273\) | 3.09753e7 | + | 4.78145e8i | 0.0921394 | + | 1.42230i | ||||
\(274\) | −8.06106e6 | − | 6.76404e6i | −0.0236737 | − | 0.0198646i | ||||
\(275\) | −655052. | + | 3.71499e6i | −0.00189938 | + | 0.0107719i | ||||
\(276\) | 3.36986e8 | + | 3.52554e8i | 0.964783 | + | 1.00936i | ||||
\(277\) | 7.64733e7 | − | 6.41687e7i | 0.216187 | − | 0.181403i | −0.528262 | − | 0.849081i | \(-0.677156\pi\) |
0.744450 | + | 0.667678i | \(0.232712\pi\) | |||||||
\(278\) | 1.86885e6 | + | 3.23695e6i | 0.00521697 | + | 0.00903605i | ||||
\(279\) | −2.02104e8 | + | 1.04819e8i | −0.557134 | + | 0.288953i | ||||
\(280\) | −2.22595e7 | + | 3.85547e7i | −0.0605987 | + | 0.104960i | ||||
\(281\) | 4.45544e7 | + | 2.52681e8i | 0.119789 | + | 0.679360i | 0.984267 | + | 0.176688i | \(0.0565384\pi\) |
−0.864477 | + | 0.502672i | \(0.832351\pi\) | |||||||
\(282\) | 1.34456e7 | − | 1.83083e7i | 0.0357032 | − | 0.0486157i | ||||
\(283\) | −2.67750e8 | + | 9.74530e7i | −0.702226 | + | 0.255589i | −0.668361 | − | 0.743837i | \(-0.733004\pi\) |
−0.0338650 | + | 0.999426i | \(0.510782\pi\) | |||||||
\(284\) | −7.96472e7 | + | 2.89892e7i | −0.206327 | + | 0.0750969i | ||||
\(285\) | −3.58543e8 | + | 4.88214e8i | −0.917453 | + | 1.24926i | ||||
\(286\) | −722726. | − | 4.09878e6i | −0.00182681 | − | 0.0103603i | ||||
\(287\) | 4.59288e8 | − | 7.95510e8i | 1.14683 | − | 1.98637i | ||||
\(288\) | −4.74326e7 | − | 3.03191e7i | −0.117005 | − | 0.0747898i | ||||
\(289\) | −3.25180e6 | − | 5.63228e6i | −0.00792468 | − | 0.0137259i | ||||
\(290\) | −1.71434e7 | + | 1.43850e7i | −0.0412765 | + | 0.0346351i | ||||
\(291\) | −5.02599e7 | − | 5.25819e7i | −0.119563 | − | 0.125087i | ||||
\(292\) | 7.13009e7 | − | 4.04368e8i | 0.167593 | − | 0.950466i | ||||
\(293\) | 1.46126e8 | + | 1.22615e8i | 0.339385 | + | 0.284778i | 0.796511 | − | 0.604624i | \(-0.206677\pi\) |
−0.457126 | + | 0.889402i | \(0.651121\pi\) | |||||||
\(294\) | −1.04613e6 | − | 1.61485e7i | −0.00240088 | − | 0.0370609i | ||||
\(295\) | 1.82789e8 | + | 6.65296e7i | 0.414545 | + | 0.150882i | ||||
\(296\) | 2.91413e7 | 0.0653112 | ||||||||
\(297\) | −8.98443e7 | + | 3.47035e7i | −0.198995 | + | 0.0768645i | ||||
\(298\) | −2.48282e7 | −0.0543485 | ||||||||
\(299\) | 6.45663e8 | + | 2.35002e8i | 1.39687 | + | 0.508420i | ||||
\(300\) | 2.14514e7 | + | 1.05989e7i | 0.0458704 | + | 0.0226640i | ||||
\(301\) | −2.75082e8 | − | 2.30821e8i | −0.581406 | − | 0.487858i | ||||
\(302\) | −5.73670e6 | + | 3.25344e7i | −0.0119850 | + | 0.0679702i | ||||
\(303\) | 1.70660e8 | − | 5.83859e8i | 0.352437 | − | 1.20575i | ||||
\(304\) | 5.93262e8 | − | 4.97806e8i | 1.21113 | − | 1.01625i | ||||
\(305\) | −1.36632e8 | − | 2.36654e8i | −0.275743 | − | 0.477600i | ||||
\(306\) | 7.01793e6 | + | 2.23763e7i | 0.0140018 | + | 0.0446440i | ||||
\(307\) | 1.66397e7 | − | 2.88208e7i | 0.0328217 | − | 0.0568489i | −0.849148 | − | 0.528155i | \(-0.822884\pi\) |
0.881970 | + | 0.471306i | \(0.156217\pi\) | |||||||
\(308\) | −2.54297e7 | − | 1.44219e8i | −0.0495922 | − | 0.281251i | ||||
\(309\) | −2.10406e7 | − | 4.79168e7i | −0.0405698 | − | 0.0923918i | ||||
\(310\) | −1.39872e7 | + | 5.09094e6i | −0.0266665 | + | 0.00970581i | ||||
\(311\) | −8.73039e8 | + | 3.17760e8i | −1.64578 | + | 0.599015i | −0.988036 | − | 0.154225i | \(-0.950712\pi\) |
−0.657745 | + | 0.753240i | \(0.728490\pi\) | |||||||
\(312\) | −5.25363e7 | − | 5.79397e6i | −0.0979307 | − | 0.0108003i | ||||
\(313\) | 6.38144e7 | + | 3.61910e8i | 0.117629 | + | 0.667106i | 0.985415 | + | 0.170168i | \(0.0544311\pi\) |
−0.867786 | + | 0.496938i | \(0.834458\pi\) | |||||||
\(314\) | 1.52988e7 | − | 2.64982e7i | 0.0278870 | − | 0.0483018i | ||||
\(315\) | 7.18872e8 | − | 9.35326e7i | 1.29588 | − | 0.168607i | ||||
\(316\) | 2.62156e7 | + | 4.54068e7i | 0.0467365 | + | 0.0809499i | ||||
\(317\) | 1.18778e8 | − | 9.96668e7i | 0.209425 | − | 0.175729i | −0.532041 | − | 0.846718i | \(-0.678575\pi\) |
0.741467 | + | 0.670990i | \(0.234130\pi\) | |||||||
\(318\) | 3.84737e6 | − | 938355.i | 0.00670918 | − | 0.00163634i | ||||
\(319\) | 2.55938e7 | − | 1.45150e8i | 0.0441436 | − | 0.250351i | ||||
\(320\) | 4.31725e8 | + | 3.62260e8i | 0.736517 | + | 0.618011i | ||||
\(321\) | 6.73384e8 | − | 4.49203e8i | 1.13631 | − | 0.758009i | ||||
\(322\) | −4.90628e7 | − | 1.78574e7i | −0.0818949 | − | 0.0298073i | ||||
\(323\) | −9.71345e8 | −1.60385 | ||||||||
\(324\) | 5.13978e7 | + | 6.08735e8i | 0.0839531 | + | 0.994307i | ||||
\(325\) | 3.37096e7 | 0.0544705 | ||||||||
\(326\) | −3.75802e7 | − | 1.36781e7i | −0.0600755 | − | 0.0218657i | ||||
\(327\) | −1.38966e8 | + | 9.27015e7i | −0.219781 | + | 0.146612i | ||||
\(328\) | 7.76221e7 | + | 6.51326e7i | 0.121458 | + | 0.101915i | ||||
\(329\) | 1.95532e8 | − | 1.10892e9i | 0.302713 | − | 1.71677i | ||||
\(330\) | −6.11764e6 | + | 1.49206e6i | −0.00937098 | + | 0.00228554i | ||||
\(331\) | −7.15687e8 | + | 6.00533e8i | −1.08474 | + | 0.910204i | −0.996306 | − | 0.0858781i | \(-0.972630\pi\) |
−0.0884332 | + | 0.996082i | \(0.528186\pi\) | |||||||
\(332\) | 6.32676e8 | + | 1.09583e9i | 0.948851 | + | 1.64346i | ||||
\(333\) | −2.88301e8 | − | 3.76903e8i | −0.427850 | − | 0.559339i | ||||
\(334\) | 3.07450e6 | − | 5.32518e6i | 0.00451504 | − | 0.00782027i | ||||
\(335\) | 1.36108e7 | + | 7.71908e7i | 0.0197801 | + | 0.112178i | ||||
\(336\) | −9.21270e8 | − | 1.01602e8i | −1.32495 | − | 0.146122i | ||||
\(337\) | 9.90259e8 | − | 3.60425e8i | 1.40943 | − | 0.512991i | 0.478469 | − | 0.878105i | \(-0.341192\pi\) |
0.930963 | + | 0.365113i | \(0.118970\pi\) | |||||||
\(338\) | −3.98098e6 | + | 1.44896e6i | −0.00560765 | + | 0.00204102i | ||||
\(339\) | 1.59681e8 | + | 3.63649e8i | 0.222614 | + | 0.506972i | ||||
\(340\) | −1.23281e8 | − | 6.99159e8i | −0.170105 | − | 0.964716i | ||||
\(341\) | 4.90161e7 | − | 8.48984e7i | 0.0669420 | − | 0.115947i | ||||
\(342\) | 5.33332e7 | + | 1.19086e7i | 0.0720952 | + | 0.0160979i | ||||
\(343\) | 1.00257e8 | + | 1.73650e8i | 0.134148 | + | 0.232351i | ||||
\(344\) | 3.03444e7 | − | 2.54620e7i | 0.0401905 | − | 0.0337239i | ||||
\(345\) | 2.91654e8 | − | 9.97804e8i | 0.382385 | − | 1.30821i | ||||
\(346\) | 3.64404e6 | − | 2.06664e7i | 0.00472951 | − | 0.0268224i | ||||
\(347\) | 6.56572e8 | + | 5.50929e8i | 0.843585 | + | 0.707852i | 0.958367 | − | 0.285539i | \(-0.0921725\pi\) |
−0.114782 | + | 0.993391i | \(0.536617\pi\) | |||||||
\(348\) | −8.38139e8 | − | 4.14115e8i | −1.06608 | − | 0.526736i | ||||
\(349\) | 2.42413e8 | + | 8.82313e7i | 0.305258 | + | 0.111105i | 0.490108 | − | 0.871662i | \(-0.336957\pi\) |
−0.184849 | + | 0.982767i | \(0.559180\pi\) | |||||||
\(350\) | −2.56153e6 | −0.00319346 | ||||||||
\(351\) | 4.44817e8 | + | 7.36808e8i | 0.549043 | + | 0.909452i | ||||
\(352\) | 2.42401e7 | 0.0296234 | ||||||||
\(353\) | −1.07343e9 | − | 3.90697e8i | −1.29886 | − | 0.472747i | −0.402236 | − | 0.915536i | \(-0.631767\pi\) |
−0.896626 | + | 0.442789i | \(0.853989\pi\) | |||||||
\(354\) | −1.13448e6 | − | 1.75122e7i | −0.00135920 | − | 0.0209811i | ||||
\(355\) | 1.38398e8 | + | 1.16130e8i | 0.164184 | + | 0.137767i | ||||
\(356\) | 2.47339e8 | − | 1.40273e9i | 0.290548 | − | 1.64778i | ||||
\(357\) | 8.03247e8 | + | 8.40357e8i | 0.934351 | + | 0.977518i | ||||
\(358\) | 2.34558e7 | − | 1.96817e7i | 0.0270184 | − | 0.0226711i | ||||
\(359\) | −3.07043e7 | − | 5.31814e7i | −0.0350242 | − | 0.0606637i | 0.847982 | − | 0.530025i | \(-0.177818\pi\) |
−0.883006 | + | 0.469361i | \(0.844484\pi\) | |||||||
\(360\) | −3.60925e6 | + | 7.98858e7i | −0.00407717 | + | 0.0902425i | ||||
\(361\) | −6.84800e8 | + | 1.18611e9i | −0.766106 | + | 1.32693i | ||||
\(362\) | 1.07029e7 | + | 6.06992e7i | 0.0118583 | + | 0.0672516i | ||||
\(363\) | −5.14884e8 | + | 7.01098e8i | −0.564984 | + | 0.769317i | ||||
\(364\) | −1.22971e9 | + | 4.47579e8i | −1.33644 | + | 0.486424i | ||||
\(365\) | −8.22438e8 | + | 2.99343e8i | −0.885275 | + | 0.322214i | ||||
\(366\) | −1.45926e7 | + | 1.98702e7i | −0.0155578 | + | 0.0211845i | ||||
\(367\) | 1.95829e8 | + | 1.11060e9i | 0.206798 | + | 1.17281i | 0.894585 | + | 0.446898i | \(0.147471\pi\) |
−0.687787 | + | 0.725913i | \(0.741418\pi\) | |||||||
\(368\) | −6.64558e8 | + | 1.15105e9i | −0.695129 | + | 1.20400i | ||||
\(369\) | 7.44709e7 | − | 1.64831e9i | 0.0771604 | − | 1.70784i | ||||
\(370\) | −1.55122e7 | − | 2.68678e7i | −0.0159208 | − | 0.0275757i | ||||
\(371\) | 1.50382e8 | − | 1.26186e8i | 0.152893 | − | 0.128293i | ||||
\(372\) | −4.29643e8 | − | 4.49493e8i | −0.432721 | − | 0.452712i | ||||
\(373\) | −1.54214e8 | + | 8.74591e8i | −0.153866 | + | 0.872618i | 0.805949 | + | 0.591985i | \(0.201655\pi\) |
−0.959815 | + | 0.280633i | \(0.909456\pi\) | |||||||
\(374\) | −7.73537e6 | − | 6.49075e6i | −0.00764594 | − | 0.00641570i | ||||
\(375\) | −6.75992e7 | − | 1.04349e9i | −0.0661961 | − | 1.02183i | ||||
\(376\) | 1.16721e8 | + | 4.24829e7i | 0.113238 | + | 0.0412152i | ||||
\(377\) | −1.31708e9 | −1.26595 | ||||||||
\(378\) | −3.38009e7 | − | 5.59888e7i | −0.0321889 | − | 0.0533188i | ||||
\(379\) | 1.67723e9 | 1.58255 | 0.791273 | − | 0.611464i | \(-0.209419\pi\) | ||||
0.791273 | + | 0.611464i | \(0.209419\pi\) | |||||||
\(380\) | −1.55458e9 | − | 5.65819e8i | −1.45335 | − | 0.528975i | ||||
\(381\) | 1.28738e9 | + | 6.36079e8i | 1.19253 | + | 0.589215i | ||||
\(382\) | 5.43277e6 | + | 4.55864e6i | 0.00498654 | + | 0.00418421i | ||||
\(383\) | −1.57548e8 | + | 8.93496e8i | −0.143290 | + | 0.812638i | 0.825434 | + | 0.564498i | \(0.190930\pi\) |
−0.968724 | + | 0.248140i | \(0.920181\pi\) | |||||||
\(384\) | 5.74935e7 | − | 1.96696e8i | 0.0518155 | − | 0.177270i | ||||
\(385\) | −2.39120e8 | + | 2.00646e8i | −0.213552 | + | 0.179192i | ||||
\(386\) | −1.73515e7 | − | 3.00537e7i | −0.0153561 | − | 0.0265976i | ||||
\(387\) | −6.29521e8 | − | 1.40563e8i | −0.552105 | − | 0.123277i | ||||
\(388\) | 9.93308e7 | − | 1.72046e8i | 0.0863322 | − | 0.149532i | ||||
\(389\) | 1.16419e8 | + | 6.60245e8i | 0.100277 | + | 0.568698i | 0.993002 | + | 0.118097i | \(0.0376793\pi\) |
−0.892725 | + | 0.450601i | \(0.851210\pi\) | |||||||
\(390\) | 2.26236e7 | + | 5.15219e7i | 0.0193124 | + | 0.0439811i | ||||
\(391\) | 1.56650e9 | − | 5.70158e8i | 1.32529 | − | 0.482366i | ||||
\(392\) | 8.31523e7 | − | 3.02650e7i | 0.0697225 | − | 0.0253769i | ||||
\(393\) | −1.34976e9 | − | 1.48858e8i | −1.12171 | − | 0.123708i | ||||
\(394\) | 6.91122e6 | + | 3.91955e7i | 0.00569269 | + | 0.0322849i | ||||
\(395\) | 5.58795e7 | − | 9.67862e7i | 0.0456208 | − | 0.0790176i | ||||
\(396\) | −1.59817e8 | − | 2.08933e8i | −0.129328 | − | 0.169073i | ||||
\(397\) | −9.62237e8 | − | 1.66664e9i | −0.771819 | − | 1.33683i | −0.936565 | − | 0.350493i | \(-0.886014\pi\) |
0.164747 | − | 0.986336i | \(-0.447319\pi\) | |||||||
\(398\) | 1.72767e7 | − | 1.44969e7i | 0.0137363 | − | 0.0115262i | ||||
\(399\) | 2.63176e9 | − | 6.41874e8i | 2.07416 | − | 0.505877i | ||||
\(400\) | −1.13231e7 | + | 6.42166e7i | −0.00884619 | + | 0.0501692i | ||||
\(401\) | 4.40541e8 | + | 3.69658e8i | 0.341178 | + | 0.286282i | 0.797236 | − | 0.603668i | \(-0.206295\pi\) |
−0.456058 | + | 0.889950i | \(0.650739\pi\) | |||||||
\(402\) | 5.88256e6 | − | 3.92415e6i | 0.00451622 | − | 0.00301269i | ||||
\(403\) | −8.23194e8 | − | 2.99618e8i | −0.626519 | − | 0.228034i | ||||
\(404\) | 1.66134e9 | 1.25350 | ||||||||
\(405\) | 1.06892e9 | − | 7.43648e8i | 0.799565 | − | 0.556256i | ||||
\(406\) | 1.00083e8 | 0.0742196 | ||||||||
\(407\) | 1.92004e8 | + | 6.98838e7i | 0.141166 | + | 0.0513802i | ||||
\(408\) | −1.06678e8 | + | 7.11630e7i | −0.0777614 | + | 0.0518733i | ||||
\(409\) | 1.96650e9 | + | 1.65009e9i | 1.42122 | + | 1.19255i | 0.950680 | + | 0.310172i | \(0.100387\pi\) |
0.470544 | + | 0.882377i | \(0.344058\pi\) | |||||||
\(410\) | 1.87325e7 | − | 1.06237e8i | 0.0134231 | − | 0.0761259i | ||||
\(411\) | −9.10309e8 | + | 2.22020e8i | −0.646759 | + | 0.157741i | ||||
\(412\) | 1.09491e8 | − | 9.18736e7i | 0.0771324 | − | 0.0647218i | ||||
\(413\) | −4.34961e8 | − | 7.53375e8i | −0.303826 | − | 0.526243i | ||||
\(414\) | −9.30011e7 | + | 1.21004e7i | −0.0644150 | + | 0.00838105i | ||||
\(415\) | 1.34857e9 | − | 2.33579e9i | 0.926201 | − | 1.60423i | ||||
\(416\) | −3.76142e7 | − | 2.13320e8i | −0.0256168 | − | 0.145280i | ||||
\(417\) | 3.30809e8 | + | 3.64833e7i | 0.223409 | + | 0.0246387i | ||||
\(418\) | −2.21113e7 | + | 8.04786e6i | −0.0148080 | + | 0.00538969i | ||||
\(419\) | −1.13159e9 | + | 4.11865e8i | −0.751519 | + | 0.273531i | −0.689245 | − | 0.724528i | \(-0.742058\pi\) |
−0.0622744 | + | 0.998059i | \(0.519835\pi\) | |||||||
\(420\) | 7.96028e8 | + | 1.81284e9i | 0.524271 | + | 1.19395i | ||||
\(421\) | −1.30060e7 | − | 7.37604e7i | −0.00849483 | − | 0.0481766i | 0.980266 | − | 0.197685i | \(-0.0633422\pi\) |
−0.988761 | + | 0.149508i | \(0.952231\pi\) | |||||||
\(422\) | −3.91199e7 | + | 6.77577e7i | −0.0253399 | + | 0.0438899i | ||||
\(423\) | −6.05287e8 | − | 1.92992e9i | −0.388839 | − | 1.23979i | ||||
\(424\) | 1.08275e7 | + | 1.87538e7i | 0.00689840 | + | 0.0119484i | ||||
\(425\) | 6.26514e7 | − | 5.25708e7i | 0.0395885 | − | 0.0332187i | ||||
\(426\) | 4.57281e6 | − | 1.56445e7i | 0.00286583 | − | 0.00980453i | ||||
\(427\) | −2.12212e8 | + | 1.20352e9i | −0.131909 | + | 0.748091i | ||||
\(428\) | 1.69355e9 | + | 1.42106e9i | 1.04411 | + | 0.876112i | ||||
\(429\) | −3.32254e8 | − | 1.64163e8i | −0.203174 | − | 0.100386i | ||||
\(430\) | −3.96282e7 | − | 1.44235e7i | −0.0240361 | − | 0.00874843i | ||||
\(431\) | 1.51132e9 | 0.909258 | 0.454629 | − | 0.890681i | \(-0.349772\pi\) | ||||
0.454629 | + | 0.890681i | \(0.349772\pi\) | |||||||
\(432\) | −1.55303e9 | + | 5.99879e8i | −0.926803 | + | 0.357990i | ||||
\(433\) | −1.17888e9 | −0.697851 | −0.348926 | − | 0.937150i | \(-0.613453\pi\) | ||||
−0.348926 | + | 0.937150i | \(0.613453\pi\) | |||||||
\(434\) | 6.25531e7 | + | 2.27675e7i | 0.0367312 | + | 0.0133691i | ||||
\(435\) | 1.28821e8 | + | 1.98852e9i | 0.0750367 | + | 1.15829i | ||||
\(436\) | −3.49497e8 | − | 2.93263e8i | −0.201949 | − | 0.169455i | ||||
\(437\) | 6.74552e8 | − | 3.82558e9i | 0.386661 | − | 2.19286i | ||||
\(438\) | 5.45581e7 | + | 5.70787e7i | 0.0310241 | + | 0.0324575i | ||||
\(439\) | −7.43788e8 | + | 6.24112e8i | −0.419588 | + | 0.352076i | −0.828006 | − | 0.560719i | \(-0.810525\pi\) |
0.408418 | + | 0.912795i | \(0.366081\pi\) | |||||||
\(440\) | −1.72166e7 | − | 2.98201e7i | −0.00963528 | − | 0.0166888i | ||||
\(441\) | −1.21408e9 | − | 7.76045e8i | −0.674082 | − | 0.430876i | ||||
\(442\) | −4.51175e7 | + | 7.81458e7i | −0.0248523 | + | 0.0430455i | ||||
\(443\) | −5.02807e8 | − | 2.85156e9i | −0.274782 | − | 1.55837i | −0.739653 | − | 0.672988i | \(-0.765011\pi\) |
0.464871 | − | 0.885378i | \(-0.346101\pi\) | |||||||
\(444\) | 7.67134e8 | − | 1.04458e9i | 0.415940 | − | 0.566370i | ||||
\(445\) | −2.85299e9 | + | 1.03841e9i | −1.53476 | + | 0.558607i | ||||
\(446\) | −8.89188e7 | + | 3.23638e7i | −0.0474593 | + | 0.0172738i | ||||
\(447\) | −1.30860e9 | + | 1.78187e9i | −0.692994 | + | 0.943624i | ||||
\(448\) | −4.37664e8 | − | 2.48212e9i | −0.229968 | − | 1.30421i | ||||
\(449\) | −1.21249e8 | + | 2.10010e8i | −0.0632145 | + | 0.109491i | −0.895901 | − | 0.444255i | \(-0.853469\pi\) |
0.832686 | + | 0.553745i | \(0.186802\pi\) | |||||||
\(450\) | −4.08449e6 | + | 2.11838e6i | −0.00211297 | + | 0.00109587i | ||||
\(451\) | 3.55236e8 | + | 6.15288e8i | 0.182347 | + | 0.315835i | ||||
\(452\) | −8.30944e8 | + | 6.97245e8i | −0.423241 | + | 0.355141i | ||||
\(453\) | 2.03257e9 | + | 2.12648e9i | 1.02731 | + | 1.07477i | ||||
\(454\) | 1.33379e6 | − | 7.56432e6i | 0.000668950 | − | 0.00379380i | ||||
\(455\) | 2.13680e9 | + | 1.79299e9i | 1.06347 | + | 0.892355i | ||||
\(456\) | 1.93177e7 | + | 2.98195e8i | 0.00954068 | + | 0.147273i | ||||
\(457\) | −2.44595e9 | − | 8.90252e8i | −1.19878 | − | 0.436321i | −0.335983 | − | 0.941868i | \(-0.609068\pi\) |
−0.862799 | + | 0.505547i | \(0.831291\pi\) | |||||||
\(458\) | −8.87963e7 | −0.0431882 | ||||||||
\(459\) | 1.97579e9 | + | 6.75705e8i | 0.953665 | + | 0.326147i | ||||
\(460\) | 2.83920e9 | 1.36001 | ||||||||
\(461\) | 1.37315e9 | + | 4.99786e8i | 0.652777 | + | 0.237591i | 0.647115 | − | 0.762393i | \(-0.275976\pi\) |
0.00566198 | + | 0.999984i | \(0.498198\pi\) | |||||||
\(462\) | 2.52474e7 | + | 1.24744e7i | 0.0119116 | + | 0.00588538i | ||||
\(463\) | −6.34521e8 | − | 5.32427e8i | −0.297107 | − | 0.249302i | 0.482032 | − | 0.876154i | \(-0.339899\pi\) |
−0.779139 | + | 0.626851i | \(0.784343\pi\) | |||||||
\(464\) | 4.42411e8 | − | 2.50904e9i | 0.205595 | − | 1.16599i | ||||
\(465\) | −3.71847e8 | + | 1.27216e9i | −0.171506 | + | 0.586754i | ||||
\(466\) | 8.79718e7 | − | 7.38171e7i | 0.0402710 | − | 0.0337914i | ||||
\(467\) | 1.48375e9 | + | 2.56994e9i | 0.674144 | + | 1.16765i | 0.976718 | + | 0.214526i | \(0.0688205\pi\) |
−0.302575 | + | 0.953126i | \(0.597846\pi\) | |||||||
\(468\) | −1.59069e9 | + | 1.73066e9i | −0.717339 | + | 0.780459i | ||||
\(469\) | 1.75267e8 | − | 3.03572e8i | 0.0784506 | − | 0.135880i | ||||
\(470\) | −2.29629e7 | − | 1.30229e8i | −0.0102020 | − | 0.0578583i | ||||
\(471\) | −1.09539e9 | − | 2.49458e9i | −0.483052 | − | 1.10008i | ||||
\(472\) | 9.01742e7 | − | 3.28207e7i | 0.0394717 | − | 0.0143665i | ||||
\(473\) | 2.60992e8 | − | 9.49932e7i | 0.113400 | − | 0.0412742i | ||||
\(474\) | −1.00217e7 | − | 1.10525e6i | −0.00432234 | − | 0.000476690i | ||||
\(475\) | −3.30940e7 | − | 1.87685e8i | −0.0141684 | − | 0.0803530i | ||||
\(476\) | −1.58749e9 | + | 2.74962e9i | −0.674663 | + | 1.16855i | ||||
\(477\) | 1.35436e8 | − | 3.25575e8i | 0.0571375 | − | 0.137353i | ||||
\(478\) | −3.79610e7 | − | 6.57503e7i | −0.0158979 | − | 0.0275360i | ||||
\(479\) | −1.56470e9 | + | 1.31294e9i | −0.650516 | + | 0.545848i | −0.907228 | − | 0.420640i | \(-0.861805\pi\) |
0.256711 | + | 0.966488i | \(0.417361\pi\) | |||||||
\(480\) | −3.18391e8 | + | 7.76541e7i | −0.131407 | + | 0.0320494i | ||||
\(481\) | 3.17061e8 | − | 1.79814e9i | 0.129908 | − | 0.736743i | ||||
\(482\) | −8.37399e7 | − | 7.02661e7i | −0.0340618 | − | 0.0285813i | ||||
\(483\) | −3.86750e9 | + | 2.57994e9i | −1.56177 | + | 1.04183i | ||||
\(484\) | −2.23244e9 | − | 8.12543e8i | −0.894997 | − | 0.325752i | ||||
\(485\) | −4.23454e8 | −0.168543 | ||||||||
\(486\) | −1.00200e8 | − | 6.13236e7i | −0.0395949 | − | 0.0242326i | ||||
\(487\) | −2.70444e9 | −1.06102 | −0.530512 | − | 0.847677i | \(-0.678000\pi\) | ||||
−0.530512 | + | 0.847677i | \(0.678000\pi\) | |||||||
\(488\) | −1.26678e8 | − | 4.61071e7i | −0.0493438 | − | 0.0179597i | ||||
\(489\) | −2.96235e9 | + | 1.97614e9i | −1.14566 | + | 0.764250i | ||||
\(490\) | −7.21665e7 | − | 6.05549e7i | −0.0277108 | − | 0.0232522i | ||||
\(491\) | −2.52759e7 | + | 1.43347e8i | −0.00963655 | + | 0.0546516i | −0.989247 | − | 0.146256i | \(-0.953278\pi\) |
0.979610 | + | 0.200907i | \(0.0643889\pi\) | |||||||
\(492\) | 4.37807e9 | − | 1.06779e9i | 1.65731 | − | 0.404211i | ||||
\(493\) | −2.44788e9 | + | 2.05402e9i | −0.920081 | + | 0.772040i | ||||
\(494\) | 1.05135e8 | + | 1.82099e8i | 0.0392376 | + | 0.0679615i | ||||
\(495\) | −2.15355e8 | + | 5.17691e8i | −0.0798062 | + | 0.191846i | ||||
\(496\) | 8.47285e8 | − | 1.46754e9i | 0.311777 | − | 0.540013i | ||||
\(497\) | −1.40302e8 | − | 7.95693e8i | −0.0512645 | − | 0.290736i | ||||
\(498\) | −2.41860e8 | − | 2.66736e7i | −0.0877529 | − | 0.00967784i | ||||
\(499\) | 4.86034e9 | − | 1.76902e9i | 1.75111 | − | 0.637354i | 0.751368 | − | 0.659883i | \(-0.229394\pi\) |
0.999746 | + | 0.0225293i | \(0.00717192\pi\) | |||||||
\(500\) | 2.68368e9 | − | 9.76779e8i | 0.960142 | − | 0.349463i | ||||
\(501\) | −2.20133e8 | − | 5.01320e8i | −0.0782082 | − | 0.178108i | ||||
\(502\) | 2.41203e7 | + | 1.36793e8i | 0.00850982 | + | 0.0482616i | ||||
\(503\) | −7.77740e8 | + | 1.34709e9i | −0.272488 | + | 0.471962i | −0.969498 | − | 0.245098i | \(-0.921180\pi\) |
0.697011 | + | 0.717061i | \(0.254513\pi\) | |||||||
\(504\) | 2.42008e8 | − | 2.63303e8i | 0.0842022 | − | 0.0916114i | ||||
\(505\) | −1.77060e9 | − | 3.06678e9i | −0.611789 | − | 1.05965i | ||||
\(506\) | 3.09352e7 | − | 2.59577e7i | 0.0106152 | − | 0.00890717i | ||||
\(507\) | −1.05833e8 | + | 3.62076e8i | −0.0360657 | + | 0.123388i | ||||
\(508\) | −6.81016e8 | + | 3.86223e9i | −0.230481 | + | 1.30712i | ||||
\(509\) | 5.10836e8 | + | 4.28643e8i | 0.171700 | + | 0.144073i | 0.724588 | − | 0.689182i | \(-0.242030\pi\) |
−0.552888 | + | 0.833255i | \(0.686474\pi\) | |||||||
\(510\) | 1.22397e8 | + | 6.04749e7i | 0.0408578 | + | 0.0201874i | ||||
\(511\) | 3.67807e9 | + | 1.33871e9i | 1.21940 | + | 0.443826i | ||||
\(512\) | 6.98852e8 | 0.230113 | ||||||||
\(513\) | 3.66564e9 | − | 3.19996e9i | 1.19878 | − | 1.04649i | ||||
\(514\) | 2.80770e8 | 0.0911968 | ||||||||
\(515\) | −2.86287e8 | − | 1.04200e8i | −0.0923583 | − | 0.0336157i | ||||
\(516\) | −1.13886e8 | − | 1.75798e9i | −0.0364918 | − | 0.563301i | ||||
\(517\) | 6.67165e8 | + | 5.59818e8i | 0.212332 | + | 0.178168i | ||||
\(518\) | −2.40929e7 | + | 1.36638e8i | −0.00761615 | + | 0.0431933i | ||||
\(519\) | −1.29112e9 | − | 1.35077e9i | −0.405397 | − | 0.424127i | ||||
\(520\) | −2.35711e8 | + | 1.97785e8i | −0.0735137 | + | 0.0616853i | ||||
\(521\) | −1.48409e9 | − | 2.57052e9i | −0.459758 | − | 0.796324i | 0.539190 | − | 0.842184i | \(-0.318730\pi\) |
−0.998948 | + | 0.0458604i | \(0.985397\pi\) | |||||||
\(522\) | 1.59587e8 | − | 8.27683e7i | 0.0491078 | − | 0.0254693i | ||||
\(523\) | 4.56446e8 | − | 7.90588e8i | 0.139519 | − | 0.241654i | −0.787796 | − | 0.615937i | \(-0.788778\pi\) |
0.927315 | + | 0.374283i | \(0.122111\pi\) | |||||||
\(524\) | −6.44020e8 | − | 3.65242e9i | −0.195542 | − | 1.10897i | ||||
\(525\) | −1.35009e8 | + | 1.83836e8i | −0.0407196 | + | 0.0554464i | ||||
\(526\) | −8.00768e6 | + | 2.91456e6i | −0.00239915 | + | 0.000873218i | ||||
\(527\) | −1.99722e9 | + | 7.26929e8i | −0.594414 | + | 0.216349i | ||||
\(528\) | 4.24334e8 | − | 5.77800e8i | 0.125455 | − | 0.170828i | ||||
\(529\) | 5.66431e8 | + | 3.21239e9i | 0.166361 | + | 0.943481i | ||||
\(530\) | 1.15272e7 | − | 1.99656e7i | 0.00336323 | − | 0.00582529i | ||||
\(531\) | −1.31661e9 | − | 8.41580e8i | −0.381615 | − | 0.243930i | ||||
\(532\) | 3.69924e9 | + | 6.40728e9i | 1.06518 | + | 1.84494i | ||||
\(533\) | 4.86350e9 | − | 4.08096e9i | 1.39125 | − | 1.16739i | ||||
\(534\) | 1.89259e8 | + | 1.98003e8i | 0.0537852 | + | 0.0562701i | ||||
\(535\) | 8.18291e8 | − | 4.64076e9i | 0.231031 | − | 1.31024i | ||||
\(536\) | 2.96211e7 | + | 2.48551e7i | 0.00830854 | + | 0.00697169i | ||||
\(537\) | −1.76254e8 | − | 2.72072e9i | −0.0491167 | − | 0.758184i | ||||
\(538\) | −1.64462e8 | − | 5.98594e7i | −0.0455332 | − | 0.0165727i | ||||
\(539\) | 6.20447e8 | 0.170665 | ||||||||
\(540\) | 2.76852e9 | + | 2.23234e9i | 0.756605 | + | 0.610074i | ||||
\(541\) | −5.64421e9 | −1.53254 | −0.766271 | − | 0.642518i | \(-0.777890\pi\) | ||||
−0.766271 | + | 0.642518i | \(0.777890\pi\) | |||||||
\(542\) | 2.68460e8 | + | 9.77116e7i | 0.0724240 | + | 0.0263602i | ||||
\(543\) | 4.92037e9 | + | 2.43110e9i | 1.31886 | + | 0.651632i | ||||
\(544\) | −4.02586e8 | − | 3.37810e8i | −0.107217 | − | 0.0899655i | ||||
\(545\) | −1.68870e8 | + | 9.57709e8i | −0.0446853 | + | 0.253423i | ||||
\(546\) | 7.06019e7 | − | 2.41542e8i | 0.0185627 | − | 0.0635066i | ||||
\(547\) | 3.67165e9 | − | 3.08088e9i | 0.959193 | − | 0.804858i | −0.0216288 | − | 0.999766i | \(-0.506885\pi\) |
0.980822 | + | 0.194908i | \(0.0624408\pi\) | |||||||
\(548\) | −1.27954e9 | − | 2.21623e9i | −0.332141 | − | 0.575286i | ||||
\(549\) | 6.56923e8 | + | 2.09456e9i | 0.169438 | + | 0.540244i | ||||
\(550\) | 990609. | − | 1.71579e6i | 0.000253883 | − | 0.000439737i | ||||
\(551\) | 1.29303e9 | + | 7.33313e9i | 0.329289 | + | 1.86749i | ||||
\(552\) | −2.06188e8 | − | 4.69563e8i | −0.0521767 | − | 0.118825i | ||||
\(553\) | −4.69662e8 | + | 1.70943e8i | −0.118099 | + | 0.0429847i | ||||
\(554\) | −4.92684e7 | + | 1.79322e7i | −0.0123107 | + | 0.00448074i | ||||
\(555\) | −2.74584e9 | − | 3.02825e8i | −0.681788 | − | 0.0751910i | ||||
\(556\) | 1.57842e8 | + | 8.95164e8i | 0.0389457 | + | 0.220872i | ||||
\(557\) | 1.25016e9 | − | 2.16535e9i | 0.306531 | − | 0.530927i | −0.671070 | − | 0.741394i | \(-0.734165\pi\) |
0.977601 | + | 0.210467i | \(0.0674985\pi\) | |||||||
\(558\) | 1.18573e8 | − | 1.54275e7i | 0.0288911 | − | 0.00375903i | ||||
\(559\) | −1.24096e9 | − | 2.14941e9i | −0.300481 | − | 0.520448i | ||||
\(560\) | −4.13339e9 | + | 3.46833e9i | −0.994601 | + | 0.834569i | ||||
\(561\) | −8.73530e8 | + | 2.13050e8i | −0.208885 | + | 0.0509461i | ||||
\(562\) | 2.34001e7 | − | 1.32708e8i | 0.00556084 | − | 0.0315371i | ||||
\(563\) | −5.84216e8 | − | 4.90216e8i | −0.137973 | − | 0.115773i | 0.571189 | − | 0.820818i | \(-0.306482\pi\) |
−0.709162 | + | 0.705045i | \(0.750927\pi\) | |||||||
\(564\) | 4.59545e9 | − | 3.06555e9i | 1.07858 | − | 0.719500i | ||||
\(565\) | 2.17268e9 | + | 7.90791e8i | 0.506788 | + | 0.184456i | ||||
\(566\) | 1.49648e8 | 0.0346907 | ||||||||
\(567\) | −5.79972e9 | − | 5.25136e8i | −1.33618 | − | 0.120985i | ||||
\(568\) | 8.91272e7 | 0.0204076 | ||||||||
\(569\) | −2.66975e9 | − | 9.71708e8i | −0.607543 | − | 0.221128i | 0.0198848 | − | 0.999802i | \(-0.493670\pi\) |
−0.627428 | + | 0.778675i | \(0.715892\pi\) | |||||||
\(570\) | 2.64649e8 | − | 1.76543e8i | 0.0598561 | − | 0.0399289i | ||||
\(571\) | 1.72846e9 | + | 1.45035e9i | 0.388537 | + | 0.326021i | 0.816043 | − | 0.577991i | \(-0.196163\pi\) |
−0.427506 | + | 0.904013i | \(0.640608\pi\) | |||||||
\(572\) | 1.75760e8 | − | 9.96785e8i | 0.0392676 | − | 0.222698i | ||||
\(573\) | 6.13504e8 | − | 1.49631e8i | 0.136231 | − | 0.0332261i | ||||
\(574\) | −3.69569e8 | + | 3.10105e8i | −0.0815651 | + | 0.0684412i | ||||
\(575\) | 1.63538e8 | + | 2.83256e8i | 0.0358741 | + | 0.0621358i | ||||
\(576\) | −2.75058e9 | − | 3.59590e9i | −0.599716 | − | 0.784024i | ||||
\(577\) | 1.39273e7 | − | 2.41228e7i | 0.00301822 | − | 0.00522771i | −0.864512 | − | 0.502612i | \(-0.832373\pi\) |
0.867531 | + | 0.497384i | \(0.165706\pi\) | |||||||
\(578\) | 593131. | + | 3.36381e6i | 0.000127763 | + | 0.000724577i | ||||
\(579\) | −3.07143e9 | − | 3.38732e8i | −0.657605 | − | 0.0725240i | ||||
\(580\) | −5.11416e9 | + | 1.86140e9i | −1.08837 | + | 0.396134i | ||||
\(581\) | −1.13346e10 | + | 4.12546e9i | −2.39767 | + | 0.872682i | ||||
\(582\) | 1.53594e7 | + | 3.49789e7i | 0.00322957 | + | 0.00735487i | ||||
\(583\) | 2.63661e7 | + | 1.49529e8i | 0.00551069 | + | 0.0312527i | ||||
\(584\) | −2.15884e8 | + | 3.73922e8i | −0.0448513 | + | 0.0776848i | ||||
\(585\) | 4.89003e9 | + | 1.09187e9i | 1.00987 | + | 0.225490i | ||||
\(586\) | −5.00924e7 | − | 8.67625e7i | −0.0102832 | − | 0.0178111i | ||||
\(587\) | −2.99490e8 | + | 2.51302e8i | −0.0611151 | + | 0.0512816i | −0.672834 | − | 0.739794i | \(-0.734923\pi\) |
0.611718 | + | 0.791076i | \(0.290479\pi\) | |||||||
\(588\) | 1.10410e9 | − | 3.77733e9i | 0.223969 | − | 0.766239i | ||||
\(589\) | −8.60027e8 | + | 4.87745e9i | −0.173424 | + | 0.983535i | ||||
\(590\) | −7.82608e7 | − | 6.56686e7i | −0.0156878 | − | 0.0131636i | ||||
\(591\) | 3.17724e9 | + | 1.56984e9i | 0.633132 | + | 0.312823i | ||||
\(592\) | 3.31895e9 | + | 1.20800e9i | 0.657469 | + | 0.239299i | ||||
\(593\) | −2.64778e9 | −0.521423 | −0.260712 | − | 0.965417i | \(-0.583957\pi\) | ||||
−0.260712 | + | 0.965417i | \(0.583957\pi\) | |||||||
\(594\) | 5.05745e7 | − | 988467.i | 0.00990100 | − | 0.000193513i | ||||
\(595\) | 6.76758e9 | 1.31712 | ||||||||
\(596\) | −5.67384e9 | − | 2.06511e9i | −1.09778 | − | 0.399559i | ||||
\(597\) | −1.29823e8 | − | 2.00399e9i | −0.0249713 | − | 0.385466i | ||||
\(598\) | −2.76440e8 | − | 2.31961e8i | −0.0528623 | − | 0.0443568i | ||||
\(599\) | −8.76454e8 | + | 4.97062e9i | −0.166623 | + | 0.944967i | 0.780752 | + | 0.624841i | \(0.214836\pi\) |
−0.947375 | + | 0.320126i | \(0.896275\pi\) | |||||||
\(600\) | −1.73848e7 | − | 1.81880e7i | −0.00328579 | − | 0.00343760i | ||||
\(601\) | 2.40885e9 | − | 2.02126e9i | 0.452636 | − | 0.379807i | −0.387777 | − | 0.921753i | \(-0.626757\pi\) |
0.840413 | + | 0.541947i | \(0.182312\pi\) | |||||||
\(602\) | 9.42986e7 | + | 1.63330e8i | 0.0176164 | + | 0.0305125i | ||||
\(603\) | 2.84186e7 | − | 6.29006e8i | 0.00527828 | − | 0.116827i | ||||
\(604\) | −4.01706e9 | + | 6.95775e9i | −0.741786 | + | 1.28481i | ||||
\(605\) | 8.79340e8 | + | 4.98699e9i | 0.161441 | + | 0.915576i | ||||
\(606\) | −1.89104e8 | + | 2.57496e8i | −0.0345181 | + | 0.0470019i | ||||
\(607\) | −1.30498e9 | + | 4.74974e8i | −0.236834 | + | 0.0862004i | −0.457710 | − | 0.889101i | \(-0.651330\pi\) |
0.220877 | + | 0.975302i | \(0.429108\pi\) | |||||||
\(608\) | −1.15078e9 | + | 4.18850e8i | −0.207649 | + | 0.0755780i | ||||
\(609\) | 5.27498e9 | − | 7.18274e9i | 0.946369 | − | 1.28863i | ||||
\(610\) | 2.49218e7 | + | 1.41339e8i | 0.00444555 | + | 0.0252120i | ||||
\(611\) | 3.89132e9 | − | 6.73996e9i | 0.690164 | − | 1.19540i | ||||
\(612\) | −2.57402e8 | + | 5.69725e9i | −0.0453924 | + | 1.00470i | ||||
\(613\) | 4.61958e9 | + | 8.00135e9i | 0.810011 | + | 1.40298i | 0.912855 | + | 0.408283i | \(0.133872\pi\) |
−0.102844 | + | 0.994698i | \(0.532794\pi\) | |||||||
\(614\) | −1.33893e7 | + | 1.12349e7i | −0.00233436 | + | 0.00195876i | ||||
\(615\) | −6.63710e9 | − | 6.94374e9i | −1.15058 | − | 1.20373i | ||||
\(616\) | −2.67403e7 | + | 1.51652e8i | −0.00460928 | + | 0.0261405i | ||||
\(617\) | −6.18123e8 | − | 5.18667e8i | −0.105944 | − | 0.0888977i | 0.588277 | − | 0.808660i | \(-0.299807\pi\) |
−0.694221 | + | 0.719762i | \(0.744251\pi\) | |||||||
\(618\) | 1.77683e6 | + | 2.74278e7i | 0.000302822 | + | 0.00467447i | ||||
\(619\) | −1.20339e9 | − | 4.38000e8i | −0.203934 | − | 0.0742261i | 0.238033 | − | 0.971257i | \(-0.423497\pi\) |
−0.441968 | + | 0.897031i | \(0.645719\pi\) | |||||||
\(620\) | −3.61987e9 | −0.609988 | ||||||||
\(621\) | −4.03331e9 | + | 7.31226e9i | −0.675835 | + | 1.22527i | ||||
\(622\) | 4.87949e8 | 0.0813033 | ||||||||
\(623\) | 1.27590e10 | + | 4.64391e9i | 2.11402 | + | 0.769442i | ||||
\(624\) | −5.74328e9 | − | 2.83769e9i | −0.946268 | − | 0.467540i | ||||
\(625\) | −4.42353e9 | − | 3.71179e9i | −0.724752 | − | 0.608139i | ||||
\(626\) | 3.35155e7 | − | 1.90076e8i | 0.00546054 | − | 0.0309682i | ||||
\(627\) | −5.87824e8 | + | 2.01106e9i | −0.0952382 | + | 0.325828i | ||||
\(628\) | 5.70016e9 | − | 4.78300e9i | 0.918392 | − | 0.770622i | ||||
\(629\) | −2.21496e9 | − | 3.83642e9i | −0.354886 | − | 0.614680i | ||||
\(630\) | −3.71585e8 | − | 8.29697e7i | −0.0592061 | − | 0.0132199i | ||||
\(631\) | −2.29391e9 | + | 3.97317e9i | −0.363474 | + | 0.629556i | −0.988530 | − | 0.151024i | \(-0.951743\pi\) |
0.625056 | + | 0.780580i | \(0.285076\pi\) | |||||||
\(632\) | −9.57384e6 | − | 5.42959e7i | −0.00150861 | − | 0.00855574i | ||||
\(633\) | 2.80097e9 | + | 6.37880e9i | 0.438930 | + | 0.999600i | ||||
\(634\) | −7.65236e7 | + | 2.78523e7i | −0.0119257 | + | 0.00434059i | ||||
\(635\) | 7.85534e9 | − | 2.85911e9i | 1.21747 | − | 0.443122i | ||||
\(636\) | 9.57267e8 | + | 1.05572e8i | 0.147548 | + | 0.0162723i | ||||
\(637\) | −9.62770e8 | − | 5.46014e9i | −0.147582 | − | 0.836981i | ||||
\(638\) | −3.87045e7 | + | 6.70382e7i | −0.00590051 | + | 0.0102200i | ||||
\(639\) | −8.81755e8 | − | 1.15274e9i | −0.133689 | − | 0.174775i | ||||
\(640\) | −5.96498e8 | − | 1.03316e9i | −0.0899454 | − | 0.155790i | ||||
\(641\) | 6.13384e9 | − | 5.14690e9i | 0.919876 | − | 0.771868i | −0.0540959 | − | 0.998536i | \(-0.517228\pi\) |
0.973972 | + | 0.226668i | \(0.0727832\pi\) | |||||||
\(642\) | −4.13024e8 | + | 1.00735e8i | −0.0616032 | + | 0.0150247i | ||||
\(643\) | 1.66141e9 | − | 9.42234e9i | 0.246456 | − | 1.39772i | −0.570631 | − | 0.821206i | \(-0.693301\pi\) |
0.817087 | − | 0.576514i | \(-0.195587\pi\) | |||||||
\(644\) | −9.72674e9 | − | 8.16170e9i | −1.43505 | − | 1.20415i | ||||
\(645\) | −3.12379e9 | + | 2.08383e9i | −0.458377 | + | 0.305775i | ||||
\(646\) | 4.79387e8 | + | 1.74482e8i | 0.0699636 | + | 0.0254647i | ||||
\(647\) | 1.45730e9 | 0.211536 | 0.105768 | − | 0.994391i | \(-0.466270\pi\) | ||||
0.105768 | + | 0.994391i | \(0.466270\pi\) | |||||||
\(648\) | 1.68143e8 | − | 6.19990e8i | 0.0242753 | − | 0.0895101i | ||||
\(649\) | 6.72842e8 | 0.0966176 | ||||||||
\(650\) | −1.66366e7 | − | 6.05524e6i | −0.00237612 | − | 0.000864838i | ||||
\(651\) | 4.93091e9 | − | 3.28933e9i | 0.700477 | − | 0.467276i | ||||
\(652\) | −7.45030e9 | − | 6.25154e9i | −1.05271 | − | 0.883325i | ||||
\(653\) | −6.46360e8 | + | 3.66569e9i | −0.0908402 | + | 0.515181i | 0.905103 | + | 0.425193i | \(0.139794\pi\) |
−0.995943 | + | 0.0899875i | \(0.971317\pi\) | |||||||
\(654\) | 8.52355e7 | − | 2.07885e7i | 0.0119151 | − | 0.00290604i | ||||
\(655\) | −6.05585e9 | + | 5.08147e9i | −0.842036 | + | 0.706552i | ||||
\(656\) | 6.14056e9 | + | 1.06358e10i | 0.849267 | + | 1.47097i | ||||
\(657\) | 6.97197e9 | − | 9.07125e8i | 0.959128 | − | 0.124792i | ||||
\(658\) | −2.95695e8 | + | 5.12158e8i | −0.0404625 | + | 0.0700831i | ||||
\(659\) | 1.17426e9 | + | 6.65955e9i | 0.159832 | + | 0.906455i | 0.954234 | + | 0.299062i | \(0.0966736\pi\) |
−0.794401 | + | 0.607393i | \(0.792215\pi\) | |||||||
\(660\) | −1.52213e9 | − | 1.67868e8i | −0.206086 | − | 0.0227282i | ||||
\(661\) | 3.10255e9 | − | 1.12924e9i | 0.417844 | − | 0.152083i | −0.124538 | − | 0.992215i | \(-0.539745\pi\) |
0.542382 | + | 0.840132i | \(0.317523\pi\) | |||||||
\(662\) | 4.61086e8 | − | 1.67821e8i | 0.0617702 | − | 0.0224825i | ||||
\(663\) | 3.23039e9 | + | 7.35675e9i | 0.430485 | + | 0.980367i | ||||
\(664\) | −2.31051e8 | − | 1.31035e9i | −0.0306280 | − | 0.173700i | ||||
\(665\) | 7.88507e9 | − | 1.36573e10i | 1.03975 | − | 1.80090i | ||||
\(666\) | 7.45819e7 | + | 2.37800e8i | 0.00978303 | + | 0.0311927i | ||||
\(667\) | −6.38967e9 | − | 1.10672e10i | −0.833754 | − | 1.44410i | ||||
\(668\) | 1.14552e9 | − | 9.61209e8i | 0.148692 | − | 0.124767i | ||||
\(669\) | −2.36389e9 | + | 8.08730e9i | −0.305236 | + | 1.04427i | ||||
\(670\) | 7.14844e6 | − | 4.05408e7i | 0.000918225 | − | 0.00520751i | ||||
\(671\) | −7.24080e8 | − | 6.07576e8i | −0.0925248 | − | 0.0776375i | ||||
\(672\) | 1.31400e9 | + | 6.49230e8i | 0.167033 | + | 0.0825289i | ||||
\(673\) | 4.09856e9 | + | 1.49175e9i | 0.518297 | + | 0.188645i | 0.587905 | − | 0.808930i | \(-0.299953\pi\) |
−0.0696082 | + | 0.997574i | \(0.522175\pi\) | |||||||
\(674\) | −5.53464e8 | −0.0696274 | ||||||||
\(675\) | −6.32455e7 | + | 4.04787e8i | −0.00791528 | + | 0.0506598i | ||||
\(676\) | −1.03027e9 | −0.128273 | ||||||||
\(677\) | 8.60130e9 | + | 3.13062e9i | 1.06538 | + | 0.387766i | 0.814446 | − | 0.580239i | \(-0.197041\pi\) |
0.250932 | + | 0.968005i | \(0.419263\pi\) | |||||||
\(678\) | −1.34847e7 | − | 2.08155e8i | −0.00166164 | − | 0.0256497i | ||||
\(679\) | 1.45070e9 | + | 1.21728e9i | 0.177842 | + | 0.149227i | ||||
\(680\) | −1.29634e8 | + | 7.35192e8i | −0.0158102 | + | 0.0896644i | ||||
\(681\) | −4.72577e8 | − | 4.94410e8i | −0.0573400 | − | 0.0599891i | ||||
\(682\) | −3.94411e7 | + | 3.30951e7i | −0.00476107 | + | 0.00399501i | ||||
\(683\) | −2.69251e9 | − | 4.66357e9i | −0.323359 | − | 0.560075i | 0.657820 | − | 0.753175i | \(-0.271479\pi\) |
−0.981179 | + | 0.193101i | \(0.938146\pi\) | |||||||
\(684\) | 1.11974e10 | + | 7.15744e9i | 1.33789 | + | 0.855188i | ||||
\(685\) | −2.72739e9 | + | 4.72398e9i | −0.324213 | + | 0.561553i | ||||
\(686\) | −1.82869e7 | − | 1.03710e8i | −0.00216275 | − | 0.0122656i | ||||
\(687\) | −4.68011e9 | + | 6.37273e9i | −0.550690 | + | 0.749854i | ||||
\(688\) | 4.51146e9 | − | 1.64204e9i | 0.528150 | − | 0.192231i | ||||
\(689\) | 1.27500e9 | − | 4.64060e8i | 0.148505 | − | 0.0540514i | ||||
\(690\) | −3.23175e8 | + | 4.40055e8i | −0.0374512 | + | 0.0509959i | ||||
\(691\) | 8.76863e8 | + | 4.97294e9i | 0.101102 | + | 0.573377i | 0.992706 | + | 0.120561i | \(0.0384693\pi\) |
−0.891604 | + | 0.452816i | \(0.850420\pi\) | |||||||
\(692\) | 2.55170e9 | − | 4.41967e9i | 0.292724 | − | 0.507012i | ||||
\(693\) | 2.22596e9 | − | 1.15447e9i | 0.254068 | − | 0.131770i | ||||
\(694\) | −2.25074e8 | − | 3.89839e8i | −0.0255603 | − | 0.0442718i | ||||
\(695\) | 1.48422e9 | − | 1.24541e9i | 0.167707 | − | 0.140723i | ||||
\(696\) | 6.79250e8 | + | 7.10631e8i | 0.0763655 | + | 0.0798936i | ||||
\(697\) | 2.67479e9 | − | 1.51695e10i | 0.299209 | − | 1.69690i | ||||
\(698\) | −1.03789e8 | − | 8.70893e7i | −0.0115520 | − | 0.00969328i | ||||
\(699\) | −6.61048e8 | − | 1.02042e10i | −0.0732088 | − | 1.13008i | ||||
\(700\) | −5.85372e8 | − | 2.13058e8i | −0.0645044 | − | 0.0234777i | ||||
\(701\) | −6.31602e9 | −0.692517 | −0.346259 | − | 0.938139i | \(-0.612548\pi\) | ||||
−0.346259 | + | 0.938139i | \(0.612548\pi\) | |||||||
\(702\) | −8.71771e7 | − | 4.43538e8i | −0.00951092 | − | 0.0483895i | ||||
\(703\) | −1.03228e10 | −1.12061 | ||||||||
\(704\) | 1.83185e9 | + | 6.66737e8i | 0.197872 | + | 0.0720195i | ||||
\(705\) | −1.05566e10 | − | 5.21587e9i | −1.13465 | − | 0.560616i | ||||
\(706\) | 4.59588e8 | + | 3.85640e8i | 0.0491533 | + | 0.0412445i | ||||
\(707\) | −2.75004e9 | + | 1.55962e10i | −0.292665 | + | 1.65979i | ||||
\(708\) | 1.19734e9 | − | 4.09631e9i | 0.126794 | − | 0.433787i | ||||
\(709\) | 2.03372e9 | − | 1.70649e9i | 0.214303 | − | 0.179822i | −0.529317 | − | 0.848424i | \(-0.677552\pi\) |
0.743620 | + | 0.668603i | \(0.233107\pi\) | |||||||
\(710\) | −4.74432e7 | − | 8.21740e7i | −0.00497473 | − | 0.00861648i | ||||
\(711\) | −6.07529e8 | + | 6.60987e8i | −0.0633904 | + | 0.0689683i | ||||
\(712\) | −7.48890e8 | + | 1.29712e9i | −0.0777568 | + | 0.134679i | ||||
\(713\) | −1.47599e9 | − | 8.37073e9i | −0.152500 | − | 0.864868i | ||||
\(714\) | −2.45472e8 | − | 5.59027e8i | −0.0252382 | − | 0.0574764i | ||||
\(715\) | −2.02735e9 | + | 7.37894e8i | −0.207423 | + | 0.0754958i | ||||
\(716\) | 6.99726e9 | − | 2.54680e9i | 0.712414 | − | 0.259298i | ||||
\(717\) | −6.71954e9 | − | 7.41065e8i | −0.680805 | − | 0.0750826i | ||||
\(718\) | 5.60049e6 | + | 3.17619e7i | 0.000564664 | + | 0.00320237i | ||||
\(719\) | −8.09335e9 | + | 1.40181e10i | −0.812039 | + | 1.40649i | 0.0993955 | + | 0.995048i | \(0.468309\pi\) |
−0.911435 | + | 0.411445i | \(0.865024\pi\) | |||||||
\(720\) | −3.72259e9 | + | 8.94873e9i | −0.371691 | + | 0.893506i | ||||
\(721\) | 6.81244e8 | + | 1.17995e9i | 0.0676907 | + | 0.117244i | ||||
\(722\) | 5.51029e8 | − | 4.62368e8i | 0.0544872 | − | 0.0457202i | ||||
\(723\) | −9.45647e9 | + | 2.30639e9i | −0.930561 | + | 0.226959i | ||||
\(724\) | −2.60284e9 | + | 1.47615e10i | −0.254896 | + | 1.44559i | ||||
\(725\) | −4.80281e8 | − | 4.03003e8i | −0.0468072 | − | 0.0392759i | ||||
\(726\) | 3.80048e8 | − | 2.53524e8i | 0.0368604 | − | 0.0245890i | ||||
\(727\) | −3.95063e9 | − | 1.43791e9i | −0.381326 | − | 0.138791i | 0.144243 | − | 0.989542i | \(-0.453925\pi\) |
−0.525569 | + | 0.850751i | \(0.676147\pi\) | |||||||
\(728\) | 1.37608e9 | 0.132185 | ||||||||
\(729\) | −9.68221e9 | + | 3.95900e9i | −0.925611 | + | 0.378477i | ||||
\(730\) | 4.59668e8 | 0.0437335 | ||||||||
\(731\) | −5.65845e9 | − | 2.05951e9i | −0.535781 | − | 0.195008i | ||||
\(732\) | −4.98749e9 | + | 3.32707e9i | −0.469995 | + | 0.313525i | ||||
\(733\) | −3.20213e9 | − | 2.68691e9i | −0.300314 | − | 0.251993i | 0.480161 | − | 0.877180i | \(-0.340578\pi\) |
−0.780475 | + | 0.625187i | \(0.785023\pi\) | |||||||
\(734\) | 1.02850e8 | − | 5.83292e8i | 0.00959994 | − | 0.0544440i | ||||
\(735\) | −8.14953e9 | + | 1.98763e9i | −0.757054 | + | 0.184642i | ||||
\(736\) | 1.61002e9 | − | 1.35096e9i | 0.148853 | − | 0.124903i | ||||
\(737\) | 1.35561e8 | + | 2.34798e8i | 0.0124738 | + | 0.0216052i | ||||
\(738\) | −3.32839e8 | + | 8.00111e8i | −0.0304815 | + | 0.0732745i | ||||
\(739\) | 4.03972e9 | − | 6.99701e9i | 0.368210 | − | 0.637759i | −0.621075 | − | 0.783751i | \(-0.713304\pi\) |
0.989286 | + | 0.145992i | \(0.0466373\pi\) | |||||||
\(740\) | −1.31014e9 | − | 7.43019e9i | −0.118852 | − | 0.674045i | ||||
\(741\) | 1.86101e10 | + | 2.05242e9i | 1.68029 | + | 0.185311i | ||||
\(742\) | −9.68848e7 | + | 3.52632e7i | −0.00870646 | + | 0.00316889i | ||||
\(743\) | 8.80255e9 | − | 3.20387e9i | 0.787314 | − | 0.286559i | 0.0830947 | − | 0.996542i | \(-0.473520\pi\) |
0.704219 | + | 0.709983i | \(0.251297\pi\) | |||||||
\(744\) | 2.62881e8 | + | 5.98674e8i | 0.0234021 | + | 0.0532949i | ||||
\(745\) | 2.23488e9 | + | 1.26746e10i | 0.198019 | + | 1.12302i | ||||
\(746\) | 2.33212e8 | − | 4.03934e8i | 0.0205667 | − | 0.0356225i | ||||
\(747\) | −1.46618e10 | + | 1.59519e10i | −1.28696 | + | 1.40021i | ||||
\(748\) | −1.22785e9 | − | 2.12669e9i | −0.107272 | − | 0.185801i | ||||
\(749\) | −1.61439e10 | + | 1.35463e10i | −1.40385 | + | 1.17797i | ||||
\(750\) | −1.54079e8 | + | 5.27133e8i | −0.0133361 | + | 0.0456253i | ||||
\(751\) | 3.39211e8 | − | 1.92376e9i | 0.0292234 | − | 0.165734i | −0.966703 | − | 0.255899i | \(-0.917628\pi\) |
0.995927 | + | 0.0901653i | \(0.0287395\pi\) | |||||||
\(752\) | 1.15325e10 | + | 9.67692e9i | 0.988920 | + | 0.829802i | ||||
\(753\) | 1.10887e10 | + | 5.47878e9i | 0.946448 | + | 0.467629i | ||||
\(754\) | 6.50018e8 | + | 2.36587e8i | 0.0552237 | + | 0.0200998i | ||||
\(755\) | 1.71250e10 | 1.44816 | ||||||||
\(756\) | −3.06739e9 | − | 1.56062e10i | −0.258192 | − | 1.31363i | ||||
\(757\) | 3.06231e9 | 0.256575 | 0.128287 | − | 0.991737i | \(-0.459052\pi\) | ||||
0.128287 | + | 0.991737i | \(0.459052\pi\) | |||||||
\(758\) | −8.27763e8 | − | 3.01281e8i | −0.0690341 | − | 0.0251264i | ||||
\(759\) | −2.32457e8 | − | 3.58829e9i | −0.0192973 | − | 0.297880i | ||||
\(760\) | 1.33262e9 | + | 1.11820e9i | 0.110118 | + | 0.0923998i | ||||
\(761\) | 1.32714e9 | − | 7.52660e9i | 0.109162 | − | 0.619088i | −0.880314 | − | 0.474391i | \(-0.842668\pi\) |
0.989476 | − | 0.144697i | \(-0.0462207\pi\) | |||||||
\(762\) | −5.21100e8 | − | 5.45175e8i | −0.0426657 | − | 0.0446369i | ||||
\(763\) | 3.33160e9 | − | 2.79555e9i | 0.271530 | − | 0.227840i | ||||
\(764\) | 8.62350e8 | + | 1.49363e9i | 0.0699612 | + | 0.121176i | ||||
\(765\) | 1.07912e10 | − | 5.59678e9i | 0.871477 | − | 0.451984i | ||||
\(766\) | 2.38253e8 | − | 4.12666e8i | 0.0191530 | − | 0.0331740i | ||||
\(767\) | −1.04407e9 | − | 5.92123e9i | −0.0835501 | − | 0.473836i | ||||
\(768\) | 7.27106e9 | − | 9.90072e9i | 0.579206 | − | 0.788683i | ||||
\(769\) | −1.69141e10 | + | 6.15621e9i | −1.34124 | + | 0.488170i | −0.910202 | − | 0.414165i | \(-0.864074\pi\) |
−0.431035 | + | 0.902335i | \(0.641851\pi\) | |||||||
\(770\) | 1.54055e8 | − | 5.60713e7i | 0.0121607 | − | 0.00442612i | ||||
\(771\) | 1.47983e10 | − | 2.01503e10i | 1.16284 | − | 1.58340i | ||||
\(772\) | −1.46549e9 | − | 8.31123e9i | −0.114637 | − | 0.650137i | ||||
\(773\) | −4.67215e9 | + | 8.09239e9i | −0.363821 | + | 0.630157i | −0.988586 | − | 0.150656i | \(-0.951861\pi\) |
0.624765 | + | 0.780813i | \(0.285195\pi\) | |||||||
\(774\) | 2.85437e8 | + | 1.82453e8i | 0.0221267 | + | 0.0141435i | ||||
\(775\) | −2.08504e8 | − | 3.61140e8i | −0.0160901 | − | 0.0278689i | ||||
\(776\) | −1.60027e8 | + | 1.34279e8i | −0.0122935 | + | 0.0103155i | ||||
\(777\) | 8.53637e9 | + | 8.93075e9i | 0.652829 | + | 0.682990i | ||||
\(778\) | 6.11435e7 | − | 3.46762e8i | 0.00465503 | − | 0.0264000i | ||||
\(779\) | −2.74963e10 | − | 2.30721e10i | −2.08398 | − | 1.74867i | ||||
\(780\) | 8.84649e8 | + | 1.36558e10i | 0.0667482 | + | 1.03035i | ||||
\(781\) | 5.87235e8 | + | 2.13736e8i | 0.0441097 | + | 0.0160546i | ||||
\(782\) | −8.75528e8 | −0.0654706 | ||||||||
\(783\) | 2.47109e9 | − | 1.58156e10i | 0.183960 | − | 1.17739i | ||||
\(784\) | 1.07249e10 | 0.794857 | ||||||||
\(785\) | −1.49043e10 | − | 5.42471e9i | −1.09968 | − | 0.400251i | ||||
\(786\) | 6.39404e8 | + | 3.15922e8i | 0.0469674 | + | 0.0232060i | ||||
\(787\) | 1.49949e10 | + | 1.25822e10i | 1.09656 | + | 0.920120i | 0.997189 | − | 0.0749311i | \(-0.0238737\pi\) |
0.0993672 | + | 0.995051i | \(0.468318\pi\) | |||||||
\(788\) | −1.68074e9 | + | 9.53196e9i | −0.122366 | + | 0.693969i | ||||
\(789\) | −2.12882e8 | + | 7.28310e8i | −0.0154301 | + | 0.0527894i | ||||
\(790\) | −4.49638e7 | + | 3.77291e7i | −0.00324466 | + | 0.00272259i | ||||
\(791\) | −5.17008e9 | − | 8.95484e9i | −0.371432 | − | 0.643340i | ||||
\(792\) | 8.27770e7 | + | 2.63930e8i | 0.00592068 | + | 0.0188778i | ||||
\(793\) | −4.22328e9 | + | 7.31494e9i | −0.300742 | + | 0.520901i | ||||
\(794\) | 1.75513e8 | + | 9.95383e8i | 0.0124433 | + | 0.0705697i | ||||
\(795\) | −8.25341e8 | − | 1.87959e9i | −0.0582570 | − | 0.132672i | ||||
\(796\) | 5.15395e9 | − | 1.87588e9i | 0.362197 | − | 0.131829i | ||||
\(797\) | 1.55967e10 | − | 5.67673e9i | 1.09126 | − | 0.397186i | 0.267173 | − | 0.963649i | \(-0.413910\pi\) |
0.824088 | + | 0.566462i | \(0.191688\pi\) | |||||||
\(798\) | −1.41415e9 | − | 1.55960e8i | −0.0985112 | − | 0.0108643i | ||||
\(799\) | −3.27884e9 | − | 1.85952e10i | −0.227409 | − | 1.28970i | ||||
\(800\) | 5.15561e7 | − | 8.92977e7i | 0.00356012 | − | 0.00616631i | ||||
\(801\) | 2.41854e10 | − | 3.14677e9i | 1.66280 | − | 0.216347i | ||||
\(802\) | −1.51018e8 | − | 2.61571e8i | −0.0103376 | − | 0.0179052i | ||||
\(803\) | −2.31911e9 | + | 1.94596e9i | −0.158058 | + | 0.132626i | ||||
\(804\) | 1.67070e9 | − | 4.07476e8i | 0.113371 | − | 0.0276507i | ||||
\(805\) | −4.69976e9 | + | 2.66537e10i | −0.317534 | + | 1.80082i | ||||
\(806\) | 3.52450e8 | + | 2.95740e8i | 0.0237096 | + | 0.0198947i | ||||
\(807\) | −1.29642e10 | + | 8.64817e9i | −0.868335 | + | 0.579251i | ||||
\(808\) | −1.64161e9 | − | 5.97498e8i | −0.109479 | − | 0.0398471i | ||||
\(809\) | 1.48337e9 | 0.0984986 | 0.0492493 | − | 0.998787i | \(-0.484317\pi\) | ||||
0.0492493 | + | 0.998787i | \(0.484317\pi\) | |||||||
\(810\) | −6.61126e8 | + | 1.75001e8i | −0.0437106 | + | 0.0115703i | ||||
\(811\) | 4.94104e9 | 0.325271 | 0.162635 | − | 0.986686i | \(-0.448001\pi\) | ||||
0.162635 | + | 0.986686i | \(0.448001\pi\) | |||||||
\(812\) | 2.28713e10 | + | 8.32449e9i | 1.49915 | + | 0.545647i | ||||
\(813\) | 2.11621e10 | − | 1.41169e10i | 1.38115 | − | 0.921342i | ||||
\(814\) | −8.22064e7 | − | 6.89793e7i | −0.00534220 | − | 0.00448264i | ||||
\(815\) | −3.59983e9 | + | 2.04157e10i | −0.232933 | + | 1.32103i | ||||
\(816\) | −1.50997e10 | + | 3.68274e9i | −0.972865 | + | 0.237277i | ||||
\(817\) | −1.07490e10 | + | 9.01947e9i | −0.689589 | + | 0.578634i | ||||
\(818\) | −6.74119e8 | − | 1.16761e9i | −0.0430626 | − | 0.0745866i | ||||
\(819\) | −1.36139e10 | − | 1.77977e10i | −0.865939 | − | 1.13206i | ||||
\(820\) | 1.31172e10 | − | 2.27197e10i | 0.830793 | − | 1.43898i | ||||
\(821\) | −6.80713e8 | − | 3.86051e9i | −0.0429302 | − | 0.243469i | 0.955790 | − | 0.294051i | \(-0.0950035\pi\) |
−0.998720 | + | 0.0505818i | \(0.983892\pi\) | |||||||
\(822\) | 4.89145e8 | + | 5.39454e7i | 0.0307175 | + | 0.00338769i | ||||
\(823\) | 2.11741e10 | − | 7.70675e9i | 1.32406 | − | 0.481917i | 0.419300 | − | 0.907848i | \(-0.362276\pi\) |
0.904756 | + | 0.425931i | \(0.140053\pi\) | |||||||
\(824\) | −1.41232e8 | + | 5.14044e7i | −0.00879405 | + | 0.00320077i | ||||
\(825\) | −7.09272e7 | − | 1.61526e8i | −0.00439769 | − | 0.0100151i | ||||
\(826\) | 7.93373e7 | + | 4.49944e8i | 0.00489832 | + | 0.0277798i | ||||
\(827\) | −1.02577e10 | + | 1.77669e10i | −0.630642 | + | 1.09230i | 0.356779 | + | 0.934189i | \(0.383875\pi\) |
−0.987421 | + | 0.158115i | \(0.949458\pi\) | |||||||
\(828\) | −2.22595e10 | − | 4.97022e9i | −1.36273 | − | 0.304277i | ||||
\(829\) | 1.49384e10 | + | 2.58741e10i | 0.910675 | + | 1.57733i | 0.813113 | + | 0.582105i | \(0.197771\pi\) |
0.0975613 | + | 0.995230i | \(0.468896\pi\) | |||||||
\(830\) | −1.08514e9 | + | 9.10537e8i | −0.0658735 | + | 0.0552745i | ||||
\(831\) | −1.30979e9 | + | 4.48103e9i | −0.0791767 | + | 0.270878i | ||||
\(832\) | 3.02497e9 | − | 1.71554e10i | 0.182091 | − | 1.03269i | ||||
\(833\) | −1.03046e10 | − | 8.64656e9i | −0.617692 | − | 0.518306i | ||||
\(834\) | −1.56710e8 | − | 7.74287e7i | −0.00935441 | − | 0.00462190i | ||||
\(835\) | −2.99522e9 | − | 1.09017e9i | −0.178043 | − | 0.0648025i | ||||
\(836\) | −5.72236e9 | −0.338730 | ||||||||
\(837\) | 5.14230e9 | − | 9.32284e9i | 0.303123 | − | 0.549552i | ||||
\(838\) | 6.32456e8 | 0.0371258 | ||||||||
\(839\) | −2.14236e10 | − | 7.79755e9i | −1.25235 | − | 0.455818i | −0.371154 | − | 0.928571i | \(-0.621038\pi\) |
−0.881195 | + | 0.472754i | \(0.843260\pi\) | |||||||
\(840\) | −1.34591e8 | − | 2.07760e9i | −0.00783500 | − | 0.120944i | ||||
\(841\) | 5.55110e9 | + | 4.65793e9i | 0.321805 | + | 0.270027i | ||||
\(842\) | −6.83076e6 | + | 3.87391e7i | −0.000394345 | + | 0.00223644i | ||||
\(843\) | −8.29089e9 | − | 8.67393e9i | −0.476655 | − | 0.498677i | ||||
\(844\) | −1.45757e10 | + | 1.22304e10i | −0.834506 | + | 0.700234i | ||||
\(845\) | 1.09803e9 | + | 1.90184e9i | 0.0626057 | + | 0.108436i | ||||
\(846\) | −4.79452e7 | + | 1.06120e9i | −0.00272238 | + | 0.0602561i | ||||
\(847\) | 1.13233e10 | − | 1.96126e10i | 0.640298 | − | 1.10903i | ||||
\(848\) | 4.55760e8 | + | 2.58474e9i | 0.0256655 | + | 0.145557i | ||||
\(849\) | 7.88736e9 | − | 1.07399e10i | 0.442338 | − | 0.602315i | ||||
\(850\) | −4.03635e7 | + | 1.46911e7i | −0.00225436 | + | 0.000820519i | ||||
\(851\) | 1.66477e10 | − | 6.05926e9i | 0.925977 | − | 0.337028i | ||||
\(852\) | 2.34624e9 | − | 3.19479e9i | 0.129967 | − | 0.176972i | ||||
\(853\) | 5.75422e9 | + | 3.26338e10i | 0.317442 | + | 1.80030i | 0.558186 | + | 0.829716i | \(0.311497\pi\) |
−0.240744 | + | 0.970589i | \(0.577391\pi\) | |||||||
\(854\) | 3.20920e8 | − | 5.55850e8i | 0.0176317 | − | 0.0305390i | ||||
\(855\) | 1.27852e9 | − | 2.82982e10i | 0.0699560 | − | 1.54838i | ||||
\(856\) | −1.16236e9 | − | 2.01327e9i | −0.0633406 | − | 0.109709i | ||||
\(857\) | 1.79513e10 | − | 1.50630e10i | 0.974236 | − | 0.817481i | −0.00897405 | − | 0.999960i | \(-0.502857\pi\) |
0.983210 | + | 0.182479i | \(0.0584121\pi\) | |||||||
\(858\) | 1.34488e8 | + | 1.40702e8i | 0.00726907 | + | 0.00760490i | ||||
\(859\) | −4.54669e9 | + | 2.57856e10i | −0.244748 | + | 1.38804i | 0.576329 | + | 0.817218i | \(0.304485\pi\) |
−0.821077 | + | 0.570818i | \(0.806626\pi\) | |||||||
\(860\) | −7.85631e9 | − | 6.59222e9i | −0.421186 | − | 0.353417i | ||||
\(861\) | 2.77706e9 | + | 4.28677e10i | 0.148277 | + | 2.28886i | ||||
\(862\) | −7.45882e8 | − | 2.71479e8i | −0.0396638 | − | 0.0144365i | ||||
\(863\) | −1.88741e10 | −0.999605 | −0.499803 | − | 0.866139i | \(-0.666594\pi\) | ||||
−0.499803 | + | 0.866139i | \(0.666594\pi\) | |||||||
\(864\) | 2.63214e9 | − | 5.14446e7i | 0.138839 | − | 0.00271357i | ||||
\(865\) | −1.08781e10 | −0.571472 | ||||||||
\(866\) | 5.81812e8 | + | 2.11762e8i | 0.0304418 | + | 0.0110799i | ||||
\(867\) | 2.72676e8 | + | 1.34726e8i | 0.0142095 | + | 0.00702076i | ||||
\(868\) | 1.24012e10 | + | 1.04058e10i | 0.643642 | + | 0.540080i | ||||
\(869\) | 6.71278e7 | − | 3.80701e8i | 0.00347003 | − | 0.0196795i | ||||
\(870\) | 2.93621e8 | − | 1.00453e9i | 0.0151172 | − | 0.0517186i | ||||
\(871\) | 1.85594e9 | − | 1.55732e9i | 0.0951703 | − | 0.0798574i | ||||
\(872\) | 2.39875e8 | + | 4.15476e8i | 0.0122512 | + | 0.0212196i | ||||
\(873\) | 3.31990e9 | + | 7.41287e8i | 0.168879 | + | 0.0377082i | ||||
\(874\) | −1.02010e9 | + | 1.76686e9i | −0.0516835 | + | 0.0895184i | ||||
\(875\) | 4.72742e9 | + | 2.68105e10i | 0.238559 | + | 1.35294i | ||||
\(876\) | 7.72027e9 | + | 1.75818e10i | 0.388032 | + | 0.883687i | ||||
\(877\) | 3.38046e9 | − | 1.23039e9i | 0.169230 | − | 0.0615947i | −0.256016 | − | 0.966673i | \(-0.582410\pi\) |
0.425246 | + | 0.905078i | \(0.360188\pi\) | |||||||
\(878\) | 4.79190e8 | − | 1.74411e8i | 0.0238933 | − | 0.00869646i | ||||
\(879\) | −8.86695e9 | − | 9.77892e8i | −0.440365 | − | 0.0485657i | ||||
\(880\) | −7.24695e8 | − | 4.10995e9i | −0.0358481 | − | 0.203305i | ||||
\(881\) | −1.00454e10 | + | 1.73991e10i | −0.494937 | + | 0.857256i | −0.999983 | − | 0.00583631i | \(-0.998142\pi\) |
0.505046 | + | 0.863092i | \(0.331476\pi\) | |||||||
\(882\) | 4.59783e8 | + | 6.01086e8i | 0.0225638 | + | 0.0294983i | ||||
\(883\) | −3.95857e9 | − | 6.85645e9i | −0.193498 | − | 0.335148i | 0.752909 | − | 0.658124i | \(-0.228650\pi\) |
−0.946407 | + | 0.322976i | \(0.895317\pi\) | |||||||
\(884\) | −1.68103e10 | + | 1.41055e10i | −0.818450 | + | 0.686761i | ||||
\(885\) | −8.83772e9 | + | 2.15548e9i | −0.428587 | + | 0.104530i | ||||
\(886\) | −2.64075e8 | + | 1.49765e9i | −0.0127559 | + | 0.0723421i | ||||
\(887\) | −5.27519e9 | − | 4.42641e9i | −0.253808 | − | 0.212970i | 0.507002 | − | 0.861945i | \(-0.330754\pi\) |
−0.760810 | + | 0.648975i | \(0.775198\pi\) | |||||||
\(888\) | −1.13370e9 | + | 7.56273e8i | −0.0543318 | + | 0.0362438i | ||||
\(889\) | −3.51303e10 | − | 1.27864e10i | −1.67697 | − | 0.610368i | ||||
\(890\) | 1.59456e9 | 0.0758188 | ||||||||
\(891\) | 2.59465e9 | − | 3.68173e9i | 0.122887 | − | 0.174373i | ||||
\(892\) | −2.30120e10 | −1.08562 | ||||||||
\(893\) | −4.13464e10 | − | 1.50489e10i | −1.94293 | − | 0.707170i | ||||
\(894\) | 9.65907e8 | − | 6.44340e8i | 0.0452120 | − | 0.0301602i | ||||
\(895\) | −1.21587e10 | − | 1.02024e10i | −0.566902 | − | 0.475687i | ||||
\(896\) | −9.26459e8 | + | 5.25421e9i | −0.0430277 | + | 0.244022i | ||||
\(897\) | −3.12174e10 | + | 7.61377e9i | −1.44419 | + | 0.352230i | ||||
\(898\) | 9.75640e7 | − | 8.18659e7i | 0.00449596 | − | 0.00377256i | ||||
\(899\) | 8.14657e9 | + | 1.41103e10i | 0.373952 | + | 0.647704i | ||||
\(900\) | −1.10960e9 | + | 1.44371e8i | −0.0507363 | + | 0.00660131i | ||||
\(901\) | 1.64595e9 | − | 2.85087e9i | 0.0749687 | − | 0.129850i | ||||
\(902\) | −6.47954e7 | − | 3.67473e8i | −0.00293983 | − | 0.0166726i | ||||
\(903\) | 1.66920e10 | + | 1.84088e9i | 0.754398 | + | 0.0831989i | ||||
\(904\) | 1.07184e9 | − | 3.90117e8i | 0.0482547 | − | 0.0175633i | ||||
\(905\) | 3.00231e10 | − | 1.09275e10i | 1.34644 | − | 0.490063i | ||||
\(906\) | −6.21154e8 | − | 1.41459e9i | −0.0277492 | − | 0.0631947i | ||||
\(907\) | −4.66001e9 | − | 2.64283e10i | −0.207378 | − | 1.17610i | −0.893654 | − | 0.448756i | \(-0.851867\pi\) |
0.686277 | − | 0.727340i | \(-0.259244\pi\) | |||||||
\(908\) | 9.33975e8 | − | 1.61769e9i | 0.0414033 | − | 0.0717126i | ||||
\(909\) | 8.51300e9 | + | 2.71432e10i | 0.375932 | + | 1.19864i | ||||
\(910\) | −7.32498e8 | − | 1.26872e9i | −0.0322227 | − | 0.0558113i | ||||
\(911\) | 3.10340e10 | − | 2.60406e10i | 1.35995 | − | 1.14113i | 0.383952 | − | 0.923353i | \(-0.374563\pi\) |
0.975998 | − | 0.217781i | \(-0.0698818\pi\) | |||||||
\(912\) | −1.01610e10 | + | 3.47628e10i | −0.443564 | + | 1.51751i | ||||
\(913\) | 1.62003e9 | − | 9.18765e9i | 0.0704491 | − | 0.399537i | ||||
\(914\) | 1.04723e9 | + | 8.78730e8i | 0.0453660 | + | 0.0380666i | ||||
\(915\) | 1.14571e10 | + | 5.66084e9i | 0.494427 | + | 0.244291i | ||||
\(916\) | −2.02921e10 | − | 7.38572e9i | −0.872354 | − | 0.317511i | ||||
\(917\) | 3.53540e10 | 1.51407 | ||||||||
\(918\) | −8.53732e8 | − | 6.88390e8i | −0.0364227 | − | 0.0293687i | ||||
\(919\) | 3.00870e10 | 1.27872 | 0.639359 | − | 0.768908i | \(-0.279200\pi\) | ||||
0.639359 | + | 0.768908i | \(0.279200\pi\) | |||||||
\(920\) | −2.80548e9 | − | 1.02111e9i | −0.118782 | − | 0.0432330i | ||||
\(921\) | 1.00611e8 | + | 1.55307e9i | 0.00424363 | + | 0.0655061i | ||||
\(922\) | −5.87912e8 | − | 4.93317e8i | −0.0247033 | − | 0.0207285i | ||||
\(923\) | 9.69715e8 | − | 5.49953e9i | 0.0405918 | − | 0.230207i | ||||
\(924\) | 4.73207e9 | + | 4.95069e9i | 0.197333 | + | 0.206449i | ||||
\(925\) | 6.65817e8 | − | 5.58687e8i | 0.0276604 | − | 0.0232099i | ||||
\(926\) | 2.17515e8 | + | 3.76747e8i | 0.00900224 | + | 0.0155923i | ||||
\(927\) | 2.06209e9 | + | 1.31810e9i | 0.0850215 | + | 0.0543461i | ||||
\(928\) | −2.01437e9 | + | 3.48899e9i | −0.0827411 | + | 0.143312i | ||||
\(929\) | −5.25459e9 | − | 2.98003e10i | −0.215022 | − | 1.21945i | −0.880868 | − | 0.473363i | \(-0.843040\pi\) |
0.665845 | − | 0.746090i | \(-0.268071\pi\) | |||||||
\(930\) | 4.12035e8 | − | 5.61052e8i | 0.0167975 | − | 0.0228725i | ||||
\(931\) | −2.94553e10 | + | 1.07208e10i | −1.19630 | + | 0.435417i | ||||
\(932\) | 2.62435e10 | − | 9.55185e9i | 1.06186 | − | 0.386484i | ||||
\(933\) | 2.57179e10 | − | 3.50191e10i | 1.03669 | − | 1.41162i | ||||
\(934\) | −2.70638e8 | − | 1.53486e9i | −0.0108686 | − | 0.0616390i | ||||
\(935\) | −2.61719e9 | + | 4.53311e9i | −0.104712 | + | 0.181366i | ||||
\(936\) | 2.19422e9 | − | 1.13801e9i | 0.0874611 | − | 0.0453610i | ||||
\(937\) | −1.88918e10 | − | 3.27216e10i | −0.750215 | − | 1.29941i | −0.947718 | − | 0.319108i | \(-0.896617\pi\) |
0.197504 | − | 0.980302i | \(-0.436717\pi\) | |||||||
\(938\) | −1.41030e8 | + | 1.18338e8i | −0.00557959 | + | 0.00468183i | ||||
\(939\) | −1.18749e10 | − | 1.24235e10i | −0.468058 | − | 0.489682i | ||||
\(940\) | 5.58436e9 | − | 3.16705e10i | 0.219293 | − | 1.24367i | ||||
\(941\) | 2.81861e10 | + | 2.36509e10i | 1.10273 | + | 0.925304i | 0.997606 | − | 0.0691544i | \(-0.0220301\pi\) |
0.105129 | + | 0.994459i | \(0.466475\pi\) | |||||||
\(942\) | 9.25032e7 | + | 1.42791e9i | 0.00360561 | + | 0.0556574i | ||||
\(943\) | 5.78864e10 | + | 2.10689e10i | 2.24794 | + | 0.818185i | ||||
\(944\) | 1.16306e10 | 0.449988 | ||||||||
\(945\) | −2.55394e10 | + | 2.22949e10i | −0.984462 | + | 0.859397i | ||||
\(946\) | −1.45871e8 | −0.00560207 | ||||||||
\(947\) | 4.63888e9 | + | 1.68842e9i | 0.177496 | + | 0.0646033i | 0.429239 | − | 0.903191i | \(-0.358782\pi\) |
−0.251743 | + | 0.967794i | \(0.581004\pi\) | |||||||
\(948\) | −2.19828e9 | − | 1.08614e9i | −0.0838019 | − | 0.0414056i | ||||
\(949\) | 2.07237e10 | + | 1.73893e10i | 0.787112 | + | 0.660465i | ||||
\(950\) | −1.73810e7 | + | 9.85727e7i | −0.000657722 | + | 0.00373013i | ||||
\(951\) | −2.03436e9 | + | 6.95993e9i | −0.0767002 | + | 0.262406i | ||||
\(952\) | 2.55753e9 | − | 2.14602e9i | 0.0960708 | − | 0.0806130i | ||||
\(953\) | 1.48785e10 | + | 2.57704e10i | 0.556846 | + | 0.964486i | 0.997757 | + | 0.0669353i | \(0.0213221\pi\) |
−0.440911 | + | 0.897551i | \(0.645345\pi\) | |||||||
\(954\) | −1.25325e8 | + | 1.36352e8i | −0.00467323 | + | 0.00508444i | ||||
\(955\) | 1.83813e9 | − | 3.18373e9i | 0.0682911 | − | 0.118284i | ||||
\(956\) | −3.20615e9 | − | 1.81830e10i | −0.118681 | − | 0.673073i | ||||
\(957\) | 2.77123e9 | + | 6.31107e9i | 0.102207 | + | 0.232762i | ||||
\(958\) | 1.00807e9 | − | 3.66908e8i | 0.0370435 | − | 0.0134827i | ||||
\(959\) | 2.29235e10 | − | 8.34345e9i | 0.839296 | − | 0.305479i | ||||
\(960\) | −2.61971e10 | − | 2.88915e9i | −0.955660 | − | 0.105395i | ||||
\(961\) | −2.89569e9 | − | 1.64223e10i | −0.105250 | − | 0.596900i | ||||
\(962\) | −4.79478e8 | + | 8.30481e8i | −0.0173643 | + | 0.0300758i | ||||
\(963\) | −1.45394e10 | + | 3.49513e10i | −0.524632 | + | 1.26116i | ||||
\(964\) | −1.32921e10 | − | 2.30227e10i | −0.477887 | − | 0.827725i | ||||
\(965\) | −1.37803e10 | + | 1.15631e10i | −0.493645 | + | 0.414217i | ||||
\(966\) | 2.37216e9 | − | 5.78558e8i | 0.0846689 | − | 0.0206503i | ||||
\(967\) | −4.20615e9 | + | 2.38543e10i | −0.149586 | + | 0.848346i | 0.813983 | + | 0.580888i | \(0.197295\pi\) |
−0.963570 | + | 0.267458i | \(0.913816\pi\) | |||||||
\(968\) | 1.91370e9 | + | 1.60578e9i | 0.0678125 | + | 0.0569015i | ||||
\(969\) | 3.77889e10 | − | 2.52083e10i | 1.33423 | − | 0.890042i | ||||
\(970\) | 2.08987e8 | + | 7.60649e7i | 0.00735221 | + | 0.00267598i | ||||
\(971\) | −2.00231e10 | −0.701882 | −0.350941 | − | 0.936398i | \(-0.614138\pi\) | ||||
−0.350941 | + | 0.936398i | \(0.614138\pi\) | |||||||
\(972\) | −1.77974e10 | − | 2.23481e10i | −0.621620 | − | 0.780566i | ||||
\(973\) | −8.66484e9 | −0.301554 | ||||||||
\(974\) | 1.33472e9 | + | 4.85797e8i | 0.0462842 | + | 0.0168461i | ||||
\(975\) | −1.31143e9 | + | 8.74829e8i | −0.0453135 | + | 0.0302278i | ||||
\(976\) | −1.25163e10 | − | 1.05025e10i | −0.430926 | − | 0.361590i | ||||
\(977\) | 2.80420e9 | − | 1.59034e10i | 0.0962008 | − | 0.545582i | −0.898172 | − | 0.439644i | \(-0.855105\pi\) |
0.994373 | − | 0.105938i | \(-0.0337844\pi\) | |||||||
\(978\) | 1.81698e9 | − | 4.43152e8i | 0.0621104 | − | 0.0151484i | ||||
\(979\) | −8.04486e9 | + | 6.75044e9i | −0.274018 | + | 0.229928i | ||||
\(980\) | −1.14551e10 | − | 1.98408e10i | −0.388783 | − | 0.673392i | ||||
\(981\) | 3.00048e9 | − | 7.21286e9i | 0.101473 | − | 0.243930i | ||||
\(982\) | 3.82237e7 | − | 6.62055e7i | 0.00128808 | − | 0.00223102i | ||||
\(983\) | 4.48445e8 | + | 2.54326e9i | 0.0150582 | + | 0.0853991i | 0.991411 | − | 0.130785i | \(-0.0417499\pi\) |
−0.976353 | + | 0.216184i | \(0.930639\pi\) | |||||||
\(984\) | −4.71010e9 | − | 5.19454e8i | −0.157597 | − | 0.0173806i | ||||
\(985\) | 1.93869e10 | − | 7.05626e9i | 0.646371 | − | 0.235260i | ||||
\(986\) | 1.57706e9 | − | 5.74004e8i | 0.0523938 | − | 0.0190698i | ||||
\(987\) | 2.11716e10 | + | 4.82153e10i | 0.700881 | + | 1.59615i | ||||
\(988\) | 8.87959e9 | + | 5.03587e10i | 0.292916 | + | 1.66121i | ||||
\(989\) | 1.20408e10 | − | 2.08552e10i | 0.395792 | − | 0.685532i | ||||
\(990\) | 1.99277e8 | − | 2.16811e8i | 0.00652729 | − | 0.00710164i | ||||
\(991\) | 9.18517e9 | + | 1.59092e10i | 0.299798 | + | 0.519266i | 0.976090 | − | 0.217368i | \(-0.0697473\pi\) |
−0.676291 | + | 0.736634i | \(0.736414\pi\) | |||||||
\(992\) | −2.05271e9 | + | 1.72243e9i | −0.0667630 | + | 0.0560208i | ||||
\(993\) | 1.22579e10 | − | 4.19364e10i | 0.397276 | − | 1.35915i | ||||
\(994\) | −7.36870e7 | + | 4.17900e8i | −0.00237979 | + | 0.0134965i | ||||
\(995\) | −8.95572e9 | − | 7.51474e9i | −0.288217 | − | 0.241843i | ||||
\(996\) | −5.30523e10 | − | 2.62125e10i | −1.70136 | − | 0.840622i | ||||
\(997\) | −2.96056e10 | − | 1.07755e10i | −0.946107 | − | 0.344355i | −0.177533 | − | 0.984115i | \(-0.556812\pi\) |
−0.768575 | + | 0.639760i | \(0.779034\pi\) | |||||||
\(998\) | −2.71648e9 | −0.0865068 | ||||||||
\(999\) | 2.09974e10 | + | 7.18094e9i | 0.666324 | + | 0.227878i |
(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 | 27.8.e.a.4.11 | ✓ | 120 | |
3.2 | odd | 2 | 81.8.e.a.64.10 | 120 | |||
27.7 | even | 9 | inner | 27.8.e.a.7.11 | yes | 120 | |
27.20 | odd | 18 | 81.8.e.a.19.10 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.8.e.a.4.11 | ✓ | 120 | 1.1 | even | 1 | trivial | |
27.8.e.a.7.11 | yes | 120 | 27.7 | even | 9 | inner | |
81.8.e.a.19.10 | 120 | 27.20 | odd | 18 | |||
81.8.e.a.64.10 | 120 | 3.2 | odd | 2 |