Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(95,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 20, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.bc (of order \(30\), degree \(8\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 95.3 | ||
Character | \(\chi\) | \(=\) | 462.95 |
Dual form | 462.2.bc.b.107.3 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.104528 | + | 0.994522i | −0.0739128 | + | 0.703233i | ||||
\(3\) | −1.60606 | + | 0.648515i | −0.927259 | + | 0.374421i | ||||
\(4\) | −0.978148 | − | 0.207912i | −0.489074 | − | 0.103956i | ||||
\(5\) | −0.565716 | + | 1.27062i | −0.252996 | + | 0.568238i | −0.994739 | − | 0.102447i | \(-0.967333\pi\) |
0.741743 | + | 0.670685i | \(0.234000\pi\) | |||||||
\(6\) | −0.477084 | − | 1.66505i | −0.194769 | − | 0.679754i | ||||
\(7\) | 0.339893 | − | 2.62383i | 0.128468 | − | 0.991714i | ||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | 2.15886 | − | 2.08311i | 0.719618 | − | 0.694370i | ||||
\(10\) | −1.20453 | − | 0.695433i | −0.380904 | − | 0.219915i | ||||
\(11\) | −2.19545 | − | 2.48596i | −0.661952 | − | 0.749546i | ||||
\(12\) | 1.70580 | − | 0.300425i | 0.492421 | − | 0.0867253i | ||||
\(13\) | 0.0211702 | − | 0.0291382i | 0.00587154 | − | 0.00808149i | −0.806071 | − | 0.591819i | \(-0.798410\pi\) |
0.811943 | + | 0.583737i | \(0.198410\pi\) | |||||||
\(14\) | 2.57393 | + | 0.612296i | 0.687911 | + | 0.163643i | ||||
\(15\) | 0.0845576 | − | 2.40757i | 0.0218327 | − | 0.621631i | ||||
\(16\) | 0.913545 | + | 0.406737i | 0.228386 | + | 0.101684i | ||||
\(17\) | −0.0282439 | − | 0.268723i | −0.00685015 | − | 0.0651748i | 0.990563 | − | 0.137060i | \(-0.0437652\pi\) |
−0.997413 | + | 0.0718849i | \(0.977099\pi\) | |||||||
\(18\) | 1.84604 | + | 2.36477i | 0.435115 | + | 0.557382i | ||||
\(19\) | −0.429111 | − | 2.01881i | −0.0984449 | − | 0.463147i | −0.999563 | − | 0.0295723i | \(-0.990585\pi\) |
0.901118 | − | 0.433574i | \(-0.142748\pi\) | |||||||
\(20\) | 0.817530 | − | 1.12523i | 0.182805 | − | 0.251610i | ||||
\(21\) | 1.15570 | + | 4.43445i | 0.252195 | + | 0.967676i | ||||
\(22\) | 2.70183 | − | 1.92357i | 0.576032 | − | 0.410106i | ||||
\(23\) | 6.12090 | − | 3.53390i | 1.27630 | − | 0.736870i | 0.300131 | − | 0.953898i | \(-0.402970\pi\) |
0.976165 | + | 0.217028i | \(0.0696363\pi\) | |||||||
\(24\) | 0.120475 | + | 1.72786i | 0.0245919 | + | 0.352697i | ||||
\(25\) | 2.05121 | + | 2.27810i | 0.410243 | + | 0.455621i | ||||
\(26\) | 0.0267657 | + | 0.0241000i | 0.00524919 | + | 0.00472639i | ||||
\(27\) | −2.11632 | + | 4.74565i | −0.407286 | + | 0.913300i | ||||
\(28\) | −0.877990 | + | 2.49582i | −0.165925 | + | 0.471666i | ||||
\(29\) | −0.0314788 | − | 0.0968816i | −0.00584546 | − | 0.0179905i | 0.948091 | − | 0.317998i | \(-0.103011\pi\) |
−0.953937 | + | 0.300008i | \(0.903011\pi\) | |||||||
\(30\) | 2.38554 | + | 0.335754i | 0.435538 | + | 0.0612999i | ||||
\(31\) | 5.54534 | − | 2.46894i | 0.995972 | − | 0.443435i | 0.156993 | − | 0.987600i | \(-0.449820\pi\) |
0.838979 | + | 0.544164i | \(0.183153\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 5.13820 | + | 2.56882i | 0.894447 | + | 0.447175i | ||||
\(34\) | 0.270203 | 0.0463394 | ||||||||
\(35\) | 3.14160 | + | 1.91622i | 0.531028 | + | 0.323900i | ||||
\(36\) | −2.54478 | + | 1.58874i | −0.424130 | + | 0.264789i | ||||
\(37\) | 1.90948 | − | 2.12070i | 0.313917 | − | 0.348640i | −0.565452 | − | 0.824781i | \(-0.691298\pi\) |
0.879369 | + | 0.476141i | \(0.157965\pi\) | |||||||
\(38\) | 2.05260 | − | 0.215737i | 0.332976 | − | 0.0349972i | ||||
\(39\) | −0.0151039 | + | 0.0605269i | −0.00241857 | + | 0.00969206i | ||||
\(40\) | 1.03361 | + | 0.930671i | 0.163429 | + | 0.147152i | ||||
\(41\) | −0.326334 | + | 1.00435i | −0.0509649 | + | 0.156854i | −0.973300 | − | 0.229538i | \(-0.926279\pi\) |
0.922335 | + | 0.386391i | \(0.126279\pi\) | |||||||
\(42\) | −4.53096 | + | 0.685847i | −0.699143 | + | 0.105828i | ||||
\(43\) | − | 6.49525i | − | 0.990516i | −0.868746 | − | 0.495258i | \(-0.835073\pi\) | ||
0.868746 | − | 0.495258i | \(-0.164927\pi\) | |||||||
\(44\) | 1.63061 | + | 2.88810i | 0.245824 | + | 0.435397i | ||||
\(45\) | 1.42554 | + | 3.92153i | 0.212507 | + | 0.584587i | ||||
\(46\) | 2.87474 | + | 6.45677i | 0.423857 | + | 0.951998i | ||||
\(47\) | −0.867439 | − | 4.08098i | −0.126529 | − | 0.595272i | −0.995029 | − | 0.0995832i | \(-0.968249\pi\) |
0.868500 | − | 0.495689i | \(-0.165084\pi\) | |||||||
\(48\) | −1.73098 | − | 0.0607950i | −0.249846 | − | 0.00877500i | ||||
\(49\) | −6.76895 | − | 1.78364i | −0.966992 | − | 0.254806i | ||||
\(50\) | −2.48004 | + | 1.80185i | −0.350730 | + | 0.254820i | ||||
\(51\) | 0.219632 | + | 0.413268i | 0.0307546 | + | 0.0578691i | ||||
\(52\) | −0.0267657 | + | 0.0241000i | −0.00371174 | + | 0.00334206i | ||||
\(53\) | −5.38668 | − | 12.0987i | −0.739917 | − | 1.66188i | −0.749568 | − | 0.661927i | \(-0.769739\pi\) |
0.00965146 | − | 0.999953i | \(-0.496928\pi\) | |||||||
\(54\) | −4.49844 | − | 2.60078i | −0.612160 | − | 0.353922i | ||||
\(55\) | 4.40071 | − | 1.38323i | 0.593392 | − | 0.186514i | ||||
\(56\) | −2.39038 | − | 1.13407i | −0.319427 | − | 0.151546i | ||||
\(57\) | 1.99841 | + | 2.96404i | 0.264696 | + | 0.392597i | ||||
\(58\) | 0.0996413 | − | 0.0211794i | 0.0130835 | − | 0.00278099i | ||||
\(59\) | −0.697676 | + | 3.28231i | −0.0908297 | + | 0.427320i | 0.909112 | + | 0.416551i | \(0.136761\pi\) |
−0.999942 | + | 0.0107691i | \(0.996572\pi\) | |||||||
\(60\) | −0.583271 | + | 2.33737i | −0.0753000 | + | 0.301754i | ||||
\(61\) | −2.99407 | + | 6.72479i | −0.383351 | + | 0.861021i | 0.614070 | + | 0.789251i | \(0.289531\pi\) |
−0.997421 | + | 0.0717692i | \(0.977136\pi\) | |||||||
\(62\) | 1.87577 | + | 5.77303i | 0.238223 | + | 0.733176i | ||||
\(63\) | −4.73194 | − | 6.37250i | −0.596168 | − | 0.802859i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 0.0250473 | + | 0.0433832i | 0.00310673 | + | 0.00538102i | ||||
\(66\) | −3.09184 | + | 4.84154i | −0.380579 | + | 0.595953i | ||||
\(67\) | 4.57840 | − | 7.93002i | 0.559340 | − | 0.968806i | −0.438211 | − | 0.898872i | \(-0.644388\pi\) |
0.997552 | − | 0.0699340i | \(-0.0222789\pi\) | |||||||
\(68\) | −0.0282439 | + | 0.268723i | −0.00342507 | + | 0.0325874i | ||||
\(69\) | −7.53874 | + | 9.64516i | −0.907558 | + | 1.16114i | ||||
\(70\) | −2.23411 | + | 2.92409i | −0.267027 | + | 0.349496i | ||||
\(71\) | −2.58012 | − | 3.55124i | −0.306204 | − | 0.421454i | 0.627988 | − | 0.778223i | \(-0.283879\pi\) |
−0.934193 | + | 0.356768i | \(0.883879\pi\) | |||||||
\(72\) | −1.31403 | − | 2.69691i | −0.154860 | − | 0.317834i | ||||
\(73\) | 1.67822 | − | 7.89542i | 0.196421 | − | 0.924089i | −0.763931 | − | 0.645298i | \(-0.776733\pi\) |
0.960352 | − | 0.278791i | \(-0.0899336\pi\) | |||||||
\(74\) | 1.90948 | + | 2.12070i | 0.221973 | + | 0.246526i | ||||
\(75\) | −4.77176 | − | 2.32853i | −0.550995 | − | 0.268875i | ||||
\(76\) | 2.06391i | 0.236747i | ||||||||
\(77\) | −7.26896 | + | 4.91551i | −0.828375 | + | 0.560175i | ||||
\(78\) | −0.0586165 | − | 0.0213480i | −0.00663701 | − | 0.00241718i | ||||
\(79\) | 1.73217 | + | 0.182059i | 0.194885 | + | 0.0204832i | 0.201468 | − | 0.979495i | \(-0.435429\pi\) |
−0.00658316 | + | 0.999978i | \(0.502096\pi\) | |||||||
\(80\) | −1.03361 | + | 0.930671i | −0.115562 | + | 0.104052i | ||||
\(81\) | 0.321313 | − | 8.99426i | 0.0357015 | − | 0.999362i | ||||
\(82\) | −0.964741 | − | 0.429530i | −0.106538 | − | 0.0474337i | ||||
\(83\) | −13.4850 | + | 9.79746i | −1.48018 | + | 1.07541i | −0.502676 | + | 0.864475i | \(0.667651\pi\) |
−0.977500 | + | 0.210936i | \(0.932349\pi\) | |||||||
\(84\) | −0.208475 | − | 4.57783i | −0.0227465 | − | 0.499482i | ||||
\(85\) | 0.357422 | + | 0.116133i | 0.0387679 | + | 0.0125964i | ||||
\(86\) | 6.45967 | + | 0.678939i | 0.696564 | + | 0.0732118i | ||||
\(87\) | 0.113386 | + | 0.135183i | 0.0121563 | + | 0.0144932i | ||||
\(88\) | −3.04272 | + | 1.31979i | −0.324355 | + | 0.140690i | ||||
\(89\) | 4.76764 | − | 2.75260i | 0.505369 | − | 0.291775i | −0.225559 | − | 0.974229i | \(-0.572421\pi\) |
0.730928 | + | 0.682455i | \(0.239088\pi\) | |||||||
\(90\) | −4.04906 | + | 1.00782i | −0.426808 | + | 0.106233i | ||||
\(91\) | −0.0692581 | − | 0.0654507i | −0.00726022 | − | 0.00686110i | ||||
\(92\) | −6.72189 | + | 2.18407i | −0.700805 | + | 0.227705i | ||||
\(93\) | −7.30499 | + | 7.56151i | −0.757493 | + | 0.784092i | ||||
\(94\) | 4.14929 | − | 0.436108i | 0.427967 | − | 0.0449812i | ||||
\(95\) | 2.80789 | + | 0.596836i | 0.288084 | + | 0.0612341i | ||||
\(96\) | 0.241399 | − | 1.71515i | 0.0246377 | − | 0.175051i | ||||
\(97\) | 14.5867 | + | 10.5979i | 1.48106 | + | 1.07605i | 0.977214 | + | 0.212255i | \(0.0680808\pi\) |
0.503843 | + | 0.863796i | \(0.331919\pi\) | |||||||
\(98\) | 2.48142 | − | 6.54542i | 0.250661 | − | 0.661188i | ||||
\(99\) | −9.91818 | − | 0.793481i | −0.996815 | − | 0.0797478i | ||||
\(100\) | −1.53275 | − | 2.65479i | −0.153275 | − | 0.265479i | ||||
\(101\) | −1.71739 | + | 0.764632i | −0.170887 | + | 0.0760838i | −0.490397 | − | 0.871499i | \(-0.663148\pi\) |
0.319510 | + | 0.947583i | \(0.396482\pi\) | |||||||
\(102\) | −0.433962 | + | 0.175231i | −0.0429686 | + | 0.0173504i | ||||
\(103\) | 4.62294 | − | 5.13429i | 0.455512 | − | 0.505897i | −0.471015 | − | 0.882125i | \(-0.656112\pi\) |
0.926527 | + | 0.376228i | \(0.122779\pi\) | |||||||
\(104\) | −0.0211702 | − | 0.0291382i | −0.00207590 | − | 0.00285724i | ||||
\(105\) | −6.28830 | − | 1.04018i | −0.613675 | − | 0.101511i | ||||
\(106\) | 12.5955 | − | 4.09251i | 1.22338 | − | 0.397500i | ||||
\(107\) | 6.10284 | − | 1.29720i | 0.589984 | − | 0.125405i | 0.0967604 | − | 0.995308i | \(-0.469152\pi\) |
0.493223 | + | 0.869903i | \(0.335819\pi\) | |||||||
\(108\) | 3.05675 | − | 4.20194i | 0.294136 | − | 0.404332i | ||||
\(109\) | −10.4429 | − | 6.02923i | −1.00025 | − | 0.577496i | −0.0919290 | − | 0.995766i | \(-0.529303\pi\) |
−0.908323 | + | 0.418270i | \(0.862637\pi\) | |||||||
\(110\) | 0.915650 | + | 4.52119i | 0.0873038 | + | 0.431079i | ||||
\(111\) | −1.69144 | + | 4.64430i | −0.160544 | + | 0.440817i | ||||
\(112\) | 1.37771 | − | 2.25874i | 0.130182 | − | 0.213431i | ||||
\(113\) | −9.12194 | − | 2.96390i | −0.858120 | − | 0.278820i | −0.153277 | − | 0.988183i | \(-0.548983\pi\) |
−0.704843 | + | 0.709363i | \(0.748983\pi\) | |||||||
\(114\) | −3.15670 | + | 1.67763i | −0.295652 | + | 0.157125i | ||||
\(115\) | 1.02755 | + | 9.77652i | 0.0958199 | + | 0.911666i | ||||
\(116\) | 0.0106480 | + | 0.101309i | 0.000988646 | + | 0.00940634i | ||||
\(117\) | −0.0149948 | − | 0.107005i | −0.00138627 | − | 0.00989261i | ||||
\(118\) | −3.19140 | − | 1.03695i | −0.293792 | − | 0.0954589i | ||||
\(119\) | −0.714682 | − | 0.0172299i | −0.0655147 | − | 0.00157946i | ||||
\(120\) | −2.26360 | − | 0.824398i | −0.206638 | − | 0.0752569i | ||||
\(121\) | −1.36003 | + | 10.9156i | −0.123639 | + | 0.992327i | ||||
\(122\) | −6.37498 | − | 3.68060i | −0.577164 | − | 0.333226i | ||||
\(123\) | −0.127227 | − | 1.82468i | −0.0114716 | − | 0.164526i | ||||
\(124\) | −5.93748 | + | 1.26205i | −0.533201 | + | 0.113335i | ||||
\(125\) | −10.6690 | + | 3.46656i | −0.954262 | + | 0.310058i | ||||
\(126\) | 6.83221 | − | 4.03991i | 0.608662 | − | 0.359904i | ||||
\(127\) | −7.09279 | − | 9.76238i | −0.629383 | − | 0.866271i | 0.368611 | − | 0.929584i | \(-0.379834\pi\) |
−0.997994 | + | 0.0633125i | \(0.979834\pi\) | |||||||
\(128\) | 0.669131 | − | 0.743145i | 0.0591433 | − | 0.0656853i | ||||
\(129\) | 4.21227 | + | 10.4318i | 0.370870 | + | 0.918465i | ||||
\(130\) | −0.0457637 | + | 0.0203753i | −0.00401374 | + | 0.00178703i | ||||
\(131\) | −10.4035 | − | 18.0194i | −0.908959 | − | 1.57436i | −0.815513 | − | 0.578739i | \(-0.803545\pi\) |
−0.0934464 | − | 0.995624i | \(-0.529788\pi\) | |||||||
\(132\) | −4.49183 | − | 3.58098i | −0.390964 | − | 0.311684i | ||||
\(133\) | −5.44286 | + | 0.439734i | −0.471956 | + | 0.0381298i | ||||
\(134\) | 7.40800 | + | 5.38223i | 0.639954 | + | 0.464954i | ||||
\(135\) | −4.83267 | − | 5.37373i | −0.415930 | − | 0.462497i | ||||
\(136\) | −0.264298 | − | 0.0561783i | −0.0226634 | − | 0.00481725i | ||||
\(137\) | 0.763672 | − | 0.0802651i | 0.0652449 | − | 0.00685751i | −0.0718498 | − | 0.997415i | \(-0.522890\pi\) |
0.137095 | + | 0.990558i | \(0.456224\pi\) | |||||||
\(138\) | −8.80431 | − | 8.50564i | −0.749473 | − | 0.724048i | ||||
\(139\) | 17.7480 | − | 5.76666i | 1.50536 | − | 0.489122i | 0.563786 | − | 0.825921i | \(-0.309344\pi\) |
0.941577 | + | 0.336799i | \(0.109344\pi\) | |||||||
\(140\) | −2.67455 | − | 2.52752i | −0.226041 | − | 0.213614i | ||||
\(141\) | 4.03974 | + | 5.99175i | 0.340207 | + | 0.504596i | ||||
\(142\) | 3.80148 | − | 2.19478i | 0.319013 | − | 0.184182i | ||||
\(143\) | −0.118914 | + | 0.0113432i | −0.00994413 | + | 0.000948564i | ||||
\(144\) | 2.81949 | − | 1.02493i | 0.234957 | − | 0.0854108i | ||||
\(145\) | 0.140908 | + | 0.0148100i | 0.0117017 | + | 0.00122990i | ||||
\(146\) | 7.67675 | + | 2.49433i | 0.635332 | + | 0.206432i | ||||
\(147\) | 12.0280 | − | 1.52513i | 0.992057 | − | 0.125791i | ||||
\(148\) | −2.30867 | + | 1.67735i | −0.189772 | + | 0.137877i | ||||
\(149\) | 13.7881 | + | 6.13887i | 1.12957 | + | 0.502916i | 0.884477 | − | 0.466584i | \(-0.154516\pi\) |
0.245091 | + | 0.969500i | \(0.421182\pi\) | |||||||
\(150\) | 2.81456 | − | 4.50222i | 0.229808 | − | 0.367605i | ||||
\(151\) | −6.25365 | + | 5.63081i | −0.508915 | + | 0.458229i | −0.883141 | − | 0.469109i | \(-0.844575\pi\) |
0.374225 | + | 0.927338i | \(0.377909\pi\) | |||||||
\(152\) | −2.05260 | − | 0.215737i | −0.166488 | − | 0.0174986i | ||||
\(153\) | −0.620753 | − | 0.521298i | −0.0501849 | − | 0.0421444i | ||||
\(154\) | −4.12877 | − | 7.74295i | −0.332706 | − | 0.623945i | ||||
\(155\) | 8.44273i | 0.678137i | ||||||||
\(156\) | 0.0273581 | − | 0.0560639i | 0.00219040 | − | 0.00448871i | ||||
\(157\) | 7.16210 | + | 7.95432i | 0.571598 | + | 0.634824i | 0.957747 | − | 0.287613i | \(-0.0928616\pi\) |
−0.386149 | + | 0.922436i | \(0.626195\pi\) | |||||||
\(158\) | −0.362123 | + | 1.70365i | −0.0288089 | + | 0.135535i | ||||
\(159\) | 16.4975 | + | 15.9378i | 1.30834 | + | 1.26395i | ||||
\(160\) | −0.817530 | − | 1.12523i | −0.0646315 | − | 0.0889576i | ||||
\(161\) | −7.19191 | − | 17.2613i | −0.566802 | − | 1.36038i | ||||
\(162\) | 8.91140 | + | 1.25971i | 0.700146 | + | 0.0989721i | ||||
\(163\) | 0.666346 | − | 6.33986i | 0.0521922 | − | 0.496576i | −0.936934 | − | 0.349506i | \(-0.886349\pi\) |
0.989126 | − | 0.147069i | \(-0.0469841\pi\) | |||||||
\(164\) | 0.528020 | − | 0.914558i | 0.0412314 | − | 0.0714149i | ||||
\(165\) | −6.17076 | + | 5.07548i | −0.480393 | + | 0.395125i | ||||
\(166\) | −8.33422 | − | 14.4353i | −0.646861 | − | 1.12040i | ||||
\(167\) | −1.44791 | − | 1.05197i | −0.112043 | − | 0.0814037i | 0.530353 | − | 0.847777i | \(-0.322059\pi\) |
−0.642396 | + | 0.766373i | \(0.722059\pi\) | |||||||
\(168\) | 4.57454 | + | 0.271180i | 0.352934 | + | 0.0209220i | ||||
\(169\) | 4.01682 | + | 12.3625i | 0.308986 | + | 0.950962i | ||||
\(170\) | −0.152858 | + | 0.343325i | −0.0117237 | + | 0.0263318i | ||||
\(171\) | −5.13179 | − | 3.46443i | −0.392438 | − | 0.264932i | ||||
\(172\) | −1.35044 | + | 6.35331i | −0.102970 | + | 0.484436i | ||||
\(173\) | 6.67440 | − | 1.41869i | 0.507446 | − | 0.107861i | 0.0529274 | − | 0.998598i | \(-0.483145\pi\) |
0.454518 | + | 0.890737i | \(0.349811\pi\) | |||||||
\(174\) | −0.146295 | + | 0.0986344i | −0.0110906 | + | 0.00747745i | ||||
\(175\) | 6.67455 | − | 4.60772i | 0.504548 | − | 0.348311i | ||||
\(176\) | −0.994508 | − | 3.16401i | −0.0749639 | − | 0.238496i | ||||
\(177\) | −1.00812 | − | 5.72404i | −0.0757748 | − | 0.430245i | ||||
\(178\) | 2.23916 | + | 5.02925i | 0.167832 | + | 0.376958i | ||||
\(179\) | 6.77138 | − | 6.09698i | 0.506117 | − | 0.455710i | −0.376082 | − | 0.926586i | \(-0.622729\pi\) |
0.882199 | + | 0.470877i | \(0.156062\pi\) | |||||||
\(180\) | −0.579055 | − | 4.13222i | −0.0431602 | − | 0.307998i | ||||
\(181\) | −14.4911 | + | 10.5284i | −1.07711 | + | 0.782567i | −0.977177 | − | 0.212427i | \(-0.931863\pi\) |
−0.0999346 | + | 0.994994i | \(0.531863\pi\) | |||||||
\(182\) | 0.0723316 | − | 0.0620372i | 0.00536158 | − | 0.00459850i | ||||
\(183\) | 0.447524 | − | 12.7421i | 0.0330819 | − | 0.941924i | ||||
\(184\) | −1.46948 | − | 6.91336i | −0.108332 | − | 0.509660i | ||||
\(185\) | 1.61437 | + | 3.62594i | 0.118691 | + | 0.266584i | ||||
\(186\) | −6.75650 | − | 8.05537i | −0.495411 | − | 0.590648i | ||||
\(187\) | −0.606026 | + | 0.660179i | −0.0443170 | + | 0.0482771i | ||||
\(188\) | 4.17215i | 0.304285i | ||||||||
\(189\) | 11.7324 | + | 7.16588i | 0.853410 | + | 0.521241i | ||||
\(190\) | −0.887071 | + | 2.73013i | −0.0643549 | + | 0.198064i | ||||
\(191\) | 18.9382 | + | 17.0520i | 1.37032 | + | 1.23384i | 0.944284 | + | 0.329133i | \(0.106756\pi\) |
0.426035 | + | 0.904707i | \(0.359910\pi\) | |||||||
\(192\) | 1.68052 | + | 0.419358i | 0.121281 | + | 0.0302646i | ||||
\(193\) | −13.1750 | + | 1.38474i | −0.948354 | + | 0.0996761i | −0.566060 | − | 0.824364i | \(-0.691533\pi\) |
−0.382295 | + | 0.924040i | \(0.624866\pi\) | |||||||
\(194\) | −12.0645 | + | 13.3990i | −0.866184 | + | 0.961994i | ||||
\(195\) | −0.0683621 | − | 0.0534324i | −0.00489551 | − | 0.00382637i | ||||
\(196\) | 6.25019 | + | 3.15201i | 0.446442 | + | 0.225143i | ||||
\(197\) | 17.8744 | 1.27350 | 0.636749 | − | 0.771071i | \(-0.280279\pi\) | ||||
0.636749 | + | 0.771071i | \(0.280279\pi\) | |||||||
\(198\) | 1.82587 | − | 9.78091i | 0.129759 | − | 0.695099i | ||||
\(199\) | −7.57275 | + | 13.1164i | −0.536818 | + | 0.929796i | 0.462255 | + | 0.886747i | \(0.347040\pi\) |
−0.999073 | + | 0.0430486i | \(0.986293\pi\) | |||||||
\(200\) | 2.80047 | − | 1.24685i | 0.198023 | − | 0.0881655i | ||||
\(201\) | −2.21044 | + | 15.7052i | −0.155913 | + | 1.10776i | ||||
\(202\) | −0.580927 | − | 1.78791i | −0.0408739 | − | 0.125797i | ||||
\(203\) | −0.264900 | + | 0.0496654i | −0.0185923 | + | 0.00348583i | ||||
\(204\) | −0.128909 | − | 0.449901i | −0.00902546 | − | 0.0314994i | ||||
\(205\) | −1.09154 | − | 0.982826i | −0.0762364 | − | 0.0686435i | ||||
\(206\) | 4.62294 | + | 5.13429i | 0.322095 | + | 0.357723i | ||||
\(207\) | 5.85263 | − | 20.3797i | 0.406786 | − | 1.41649i | ||||
\(208\) | 0.0311915 | − | 0.0180084i | 0.00216274 | − | 0.00124866i | ||||
\(209\) | −4.07660 | + | 5.49894i | −0.281984 | + | 0.380370i | ||||
\(210\) | 1.69179 | − | 6.14512i | 0.116744 | − | 0.424054i | ||||
\(211\) | −14.8535 | + | 20.4441i | −1.02256 | + | 1.40743i | −0.112160 | + | 0.993690i | \(0.535777\pi\) |
−0.910396 | + | 0.413738i | \(0.864223\pi\) | |||||||
\(212\) | 2.75351 | + | 12.9542i | 0.189112 | + | 0.889701i | ||||
\(213\) | 6.44687 | + | 4.03025i | 0.441732 | + | 0.276148i | ||||
\(214\) | 0.652172 | + | 6.20500i | 0.0445815 | + | 0.424165i | ||||
\(215\) | 8.25299 | + | 3.67447i | 0.562849 | + | 0.250597i | ||||
\(216\) | 3.85940 | + | 3.47923i | 0.262599 | + | 0.236731i | ||||
\(217\) | −4.59326 | − | 15.3892i | −0.311811 | − | 1.04469i | ||||
\(218\) | 7.08779 | − | 9.75550i | 0.480045 | − | 0.660726i | ||||
\(219\) | 2.42498 | + | 13.7689i | 0.163865 | + | 0.930414i | ||||
\(220\) | −4.59214 | + | 0.438041i | −0.309602 | + | 0.0295327i | ||||
\(221\) | −0.00842802 | − | 0.00486592i | −0.000566930 | − | 0.000327317i | ||||
\(222\) | −4.44205 | − | 2.16764i | −0.298131 | − | 0.145482i | ||||
\(223\) | 4.23205 | − | 13.0249i | 0.283399 | − | 0.872213i | −0.703475 | − | 0.710720i | \(-0.748369\pi\) |
0.986874 | − | 0.161492i | \(-0.0516307\pi\) | |||||||
\(224\) | 2.10235 | + | 1.60627i | 0.140470 | + | 0.107323i | ||||
\(225\) | 9.17382 | + | 0.645195i | 0.611588 | + | 0.0430130i | ||||
\(226\) | 3.90116 | − | 8.76216i | 0.259501 | − | 0.582850i | ||||
\(227\) | −10.8818 | − | 2.31299i | −0.722249 | − | 0.153519i | −0.167901 | − | 0.985804i | \(-0.553699\pi\) |
−0.554348 | + | 0.832285i | \(0.687032\pi\) | |||||||
\(228\) | −1.33848 | − | 3.31476i | −0.0886429 | − | 0.219526i | ||||
\(229\) | −2.74827 | + | 26.1480i | −0.181611 | + | 1.72791i | 0.401795 | + | 0.915730i | \(0.368386\pi\) |
−0.583406 | + | 0.812181i | \(0.698280\pi\) | |||||||
\(230\) | −9.83038 | −0.648196 | ||||||||
\(231\) | 8.48659 | − | 12.6086i | 0.558377 | − | 0.829587i | ||||
\(232\) | −0.101867 | −0.00668792 | ||||||||
\(233\) | −0.416357 | + | 3.96137i | −0.0272764 | + | 0.259518i | 0.972382 | + | 0.233394i | \(0.0749831\pi\) |
−0.999659 | + | 0.0261240i | \(0.991684\pi\) | |||||||
\(234\) | 0.107986 | − | 0.00372758i | 0.00705927 | − | 0.000243679i | ||||
\(235\) | 5.67609 | + | 1.20649i | 0.370268 | + | 0.0787028i | ||||
\(236\) | 1.36486 | − | 3.06553i | 0.0888449 | − | 0.199549i | ||||
\(237\) | −2.90004 | + | 0.830944i | −0.188378 | + | 0.0539756i | ||||
\(238\) | 0.0918401 | − | 0.708965i | 0.00595311 | − | 0.0459554i | ||||
\(239\) | −5.36063 | + | 16.4983i | −0.346750 | + | 1.06719i | 0.613890 | + | 0.789391i | \(0.289604\pi\) |
−0.960640 | + | 0.277796i | \(0.910396\pi\) | |||||||
\(240\) | 1.05649 | − | 2.16503i | 0.0681963 | − | 0.139752i | ||||
\(241\) | −6.07195 | − | 3.50564i | −0.391129 | − | 0.225818i | 0.291520 | − | 0.956565i | \(-0.405839\pi\) |
−0.682649 | + | 0.730746i | \(0.739172\pi\) | |||||||
\(242\) | −10.7136 | − | 2.49357i | −0.688699 | − | 0.160293i | ||||
\(243\) | 5.31687 | + | 14.6537i | 0.341077 | + | 0.940035i | ||||
\(244\) | 4.32680 | − | 5.95533i | 0.276995 | − | 0.381251i | ||||
\(245\) | 6.09563 | − | 7.59172i | 0.389436 | − | 0.485017i | ||||
\(246\) | 1.82799 | + | 0.0642019i | 0.116548 | + | 0.00409337i | ||||
\(247\) | −0.0679089 | − | 0.0302350i | −0.00432094 | − | 0.00192381i | ||||
\(248\) | −0.634501 | − | 6.03687i | −0.0402909 | − | 0.383342i | ||||
\(249\) | 15.3040 | − | 24.4806i | 0.969851 | − | 1.55139i | ||||
\(250\) | −2.33236 | − | 10.9729i | −0.147511 | − | 0.693986i | ||||
\(251\) | 1.01915 | − | 1.40273i | 0.0643279 | − | 0.0885397i | −0.775641 | − | 0.631174i | \(-0.782573\pi\) |
0.839969 | + | 0.542635i | \(0.182573\pi\) | |||||||
\(252\) | 3.30362 | + | 7.21707i | 0.208108 | + | 0.454633i | ||||
\(253\) | −22.2233 | − | 7.45784i | −1.39717 | − | 0.468870i | ||||
\(254\) | 10.4503 | − | 6.03348i | 0.655710 | − | 0.378574i | ||||
\(255\) | −0.649355 | + | 0.0452764i | −0.0406642 | + | 0.00283532i | ||||
\(256\) | 0.669131 | + | 0.743145i | 0.0418207 | + | 0.0464466i | ||||
\(257\) | 10.3606 | + | 9.32872i | 0.646276 | + | 0.581910i | 0.925700 | − | 0.378258i | \(-0.123477\pi\) |
−0.279424 | + | 0.960168i | \(0.590143\pi\) | |||||||
\(258\) | −10.8149 | + | 3.09878i | −0.673307 | + | 0.192922i | ||||
\(259\) | −4.91532 | − | 5.73097i | −0.305423 | − | 0.356105i | ||||
\(260\) | −0.0154801 | − | 0.0476428i | −0.000960033 | − | 0.00295468i | ||||
\(261\) | −0.269773 | − | 0.143580i | −0.0166985 | − | 0.00888736i | ||||
\(262\) | 19.0082 | − | 8.46298i | 1.17433 | − | 0.522845i | ||||
\(263\) | 1.31498 | − | 2.27762i | 0.0810853 | − | 0.140444i | −0.822631 | − | 0.568576i | \(-0.807495\pi\) |
0.903716 | + | 0.428132i | \(0.140828\pi\) | |||||||
\(264\) | 4.03089 | − | 4.09291i | 0.248084 | − | 0.251901i | ||||
\(265\) | 18.4201 | 1.13154 | ||||||||
\(266\) | 0.131608 | − | 5.45901i | 0.00806943 | − | 0.334713i | ||||
\(267\) | −5.87201 | + | 7.51272i | −0.359361 | + | 0.459771i | ||||
\(268\) | −6.12709 | + | 6.80483i | −0.374272 | + | 0.415671i | ||||
\(269\) | 29.8550 | − | 3.13789i | 1.82029 | − | 0.191320i | 0.868011 | − | 0.496546i | \(-0.165399\pi\) |
0.952280 | + | 0.305226i | \(0.0987319\pi\) | |||||||
\(270\) | 5.84944 | − | 4.24449i | 0.355986 | − | 0.258312i | ||||
\(271\) | −13.9317 | − | 12.5442i | −0.846293 | − | 0.762005i | 0.126920 | − | 0.991913i | \(-0.459491\pi\) |
−0.973212 | + | 0.229908i | \(0.926158\pi\) | |||||||
\(272\) | 0.0834972 | − | 0.256978i | 0.00506276 | − | 0.0155816i | ||||
\(273\) | 0.153678 | + | 0.0602028i | 0.00930104 | + | 0.00364364i | ||||
\(274\) | 0.767878i | 0.0463892i | ||||||||
\(275\) | 1.15995 | − | 10.1007i | 0.0699478 | − | 0.609095i | ||||
\(276\) | 9.37935 | − | 7.86700i | 0.564570 | − | 0.473538i | ||||
\(277\) | 8.61777 | + | 19.3558i | 0.517792 | + | 1.16298i | 0.963477 | + | 0.267789i | \(0.0862931\pi\) |
−0.445686 | + | 0.895189i | \(0.647040\pi\) | |||||||
\(278\) | 3.87990 | + | 18.2535i | 0.232701 | + | 1.09477i | ||||
\(279\) | 6.82850 | − | 16.8816i | 0.408812 | − | 1.01068i | ||||
\(280\) | 2.79324 | − | 2.39570i | 0.166928 | − | 0.143170i | ||||
\(281\) | 21.0039 | − | 15.2602i | 1.25299 | − | 0.910349i | 0.254596 | − | 0.967048i | \(-0.418058\pi\) |
0.998391 | + | 0.0566990i | \(0.0180575\pi\) | |||||||
\(282\) | −6.38119 | + | 3.39130i | −0.379994 | + | 0.201949i | ||||
\(283\) | −14.9353 | + | 13.4478i | −0.887811 | + | 0.799389i | −0.980543 | − | 0.196302i | \(-0.937107\pi\) |
0.0927322 | + | 0.995691i | \(0.470440\pi\) | |||||||
\(284\) | 1.78540 | + | 4.01007i | 0.105944 | + | 0.237954i | ||||
\(285\) | −4.89670 | + | 0.862408i | −0.290056 | + | 0.0510846i | ||||
\(286\) | 0.00114891 | − | 0.119449i | 6.79366e−5 | − | 0.00706315i | ||||
\(287\) | 2.52433 | + | 1.19762i | 0.149007 | + | 0.0706932i | ||||
\(288\) | 0.724598 | + | 2.91118i | 0.0426973 | + | 0.171543i | ||||
\(289\) | 16.5571 | − | 3.51932i | 0.973947 | − | 0.207019i | ||||
\(290\) | −0.0294577 | + | 0.138588i | −0.00172982 | + | 0.00813815i | ||||
\(291\) | −30.3000 | − | 7.56110i | −1.77622 | − | 0.443240i | ||||
\(292\) | −3.28310 | + | 7.37397i | −0.192129 | + | 0.431529i | ||||
\(293\) | −7.53430 | − | 23.1882i | −0.440159 | − | 1.35467i | −0.887707 | − | 0.460409i | \(-0.847703\pi\) |
0.447548 | − | 0.894260i | \(-0.352297\pi\) | |||||||
\(294\) | 0.259501 | + | 12.1216i | 0.0151344 | + | 0.706945i | ||||
\(295\) | −3.77588 | − | 2.74334i | −0.219840 | − | 0.159723i | ||||
\(296\) | −1.42684 | − | 2.47136i | −0.0829334 | − | 0.143645i | ||||
\(297\) | 16.4438 | − | 5.15772i | 0.954165 | − | 0.299281i | ||||
\(298\) | −7.54649 | + | 13.0709i | −0.437157 | + | 0.757178i | ||||
\(299\) | 0.0266088 | − | 0.253165i | 0.00153882 | − | 0.0146409i | ||||
\(300\) | 4.18336 | + | 3.26975i | 0.241526 | + | 0.188779i | ||||
\(301\) | −17.0424 | − | 2.20769i | −0.982309 | − | 0.127249i | ||||
\(302\) | −4.94628 | − | 6.80798i | −0.284627 | − | 0.391755i | ||||
\(303\) | 2.26236 | − | 2.34180i | 0.129969 | − | 0.134533i | ||||
\(304\) | 0.429111 | − | 2.01881i | 0.0246112 | − | 0.115787i | ||||
\(305\) | −6.85085 | − | 7.60864i | −0.392278 | − | 0.435669i | ||||
\(306\) | 0.583329 | − | 0.562862i | 0.0333467 | − | 0.0321767i | ||||
\(307\) | − | 28.0207i | − | 1.59923i | −0.600515 | − | 0.799613i | \(-0.705038\pi\) | ||
0.600515 | − | 0.799613i | \(-0.294962\pi\) | |||||||
\(308\) | 8.13211 | − | 3.29680i | 0.463370 | − | 0.187852i | ||||
\(309\) | −4.09505 | + | 11.2440i | −0.232959 | + | 0.639650i | ||||
\(310\) | −8.39648 | − | 0.882506i | −0.476888 | − | 0.0501230i | ||||
\(311\) | −7.41490 | + | 6.67640i | −0.420460 | + | 0.378584i | −0.852028 | − | 0.523497i | \(-0.824627\pi\) |
0.431568 | + | 0.902081i | \(0.357961\pi\) | |||||||
\(312\) | 0.0528971 | + | 0.0330685i | 0.00299471 | + | 0.00187214i | ||||
\(313\) | 2.39053 | + | 1.06433i | 0.135121 | + | 0.0601597i | 0.473183 | − | 0.880964i | \(-0.343105\pi\) |
−0.338062 | + | 0.941124i | \(0.609771\pi\) | |||||||
\(314\) | −8.65939 | + | 6.29141i | −0.488678 | + | 0.355045i | ||||
\(315\) | 10.7740 | − | 2.40747i | 0.607044 | − | 0.135645i | ||||
\(316\) | −1.65647 | − | 0.538219i | −0.0931837 | − | 0.0302772i | ||||
\(317\) | 1.14629 | + | 0.120480i | 0.0643821 | + | 0.00676683i | 0.136665 | − | 0.990617i | \(-0.456362\pi\) |
−0.0722826 | + | 0.997384i | \(0.523028\pi\) | |||||||
\(318\) | −17.5750 | + | 14.7412i | −0.985557 | + | 0.826643i | ||||
\(319\) | −0.171734 | + | 0.290953i | −0.00961527 | + | 0.0162903i | ||||
\(320\) | 1.20453 | − | 0.695433i | 0.0673350 | − | 0.0388759i | ||||
\(321\) | −8.96027 | + | 6.04116i | −0.500113 | + | 0.337185i | ||||
\(322\) | 17.9185 | − | 5.34821i | 0.998561 | − | 0.298044i | ||||
\(323\) | −0.530380 | + | 0.172331i | −0.0295111 | + | 0.00958875i | ||||
\(324\) | −2.18430 | + | 8.73091i | −0.121350 | + | 0.485051i | ||||
\(325\) | 0.109804 | − | 0.0115409i | 0.00609085 | − | 0.000640175i | ||||
\(326\) | 6.23547 | + | 1.32539i | 0.345351 | + | 0.0734066i | ||||
\(327\) | 20.6820 | + | 2.91090i | 1.14372 | + | 0.160973i | ||||
\(328\) | 0.854354 | + | 0.620725i | 0.0471738 | + | 0.0342738i | ||||
\(329\) | −11.0026 | + | 0.888913i | −0.606594 | + | 0.0490074i | ||||
\(330\) | −4.40265 | − | 6.66749i | −0.242358 | − | 0.367033i | ||||
\(331\) | 14.9715 | + | 25.9314i | 0.822909 | + | 1.42532i | 0.903507 | + | 0.428574i | \(0.140984\pi\) |
−0.0805973 | + | 0.996747i | \(0.525683\pi\) | |||||||
\(332\) | 15.2274 | − | 6.77966i | 0.835711 | − | 0.372082i | ||||
\(333\) | −0.295343 | − | 8.55594i | −0.0161847 | − | 0.468863i | ||||
\(334\) | 1.19755 | − | 1.33002i | 0.0655272 | − | 0.0727753i | ||||
\(335\) | 7.48596 | + | 10.3035i | 0.409002 | + | 0.562943i | ||||
\(336\) | −0.747865 | + | 4.52114i | −0.0407994 | + | 0.246648i | ||||
\(337\) | −10.6256 | + | 3.45246i | −0.578813 | + | 0.188068i | −0.583769 | − | 0.811920i | \(-0.698422\pi\) |
0.00495597 | + | 0.999988i | \(0.498422\pi\) | |||||||
\(338\) | −12.7146 | + | 2.70258i | −0.691586 | + | 0.147001i | ||||
\(339\) | 16.5725 | − | 1.15552i | 0.900095 | − | 0.0627593i | ||||
\(340\) | −0.325466 | − | 0.187908i | −0.0176509 | − | 0.0101907i | ||||
\(341\) | −18.3122 | − | 8.36507i | −0.991661 | − | 0.452994i | ||||
\(342\) | 3.98187 | − | 4.74155i | 0.215315 | − | 0.256393i | ||||
\(343\) | −6.98069 | + | 17.1543i | −0.376922 | + | 0.926245i | ||||
\(344\) | −6.17735 | − | 2.00714i | −0.333060 | − | 0.108218i | ||||
\(345\) | −7.99054 | − | 15.0353i | −0.430196 | − | 0.809473i | ||||
\(346\) | 0.713251 | + | 6.78613i | 0.0383446 | + | 0.364825i | ||||
\(347\) | 1.59268 | + | 15.1534i | 0.0854996 | + | 0.813474i | 0.950295 | + | 0.311350i | \(0.100781\pi\) |
−0.864796 | + | 0.502124i | \(0.832552\pi\) | |||||||
\(348\) | −0.0828021 | − | 0.155803i | −0.00443866 | − | 0.00835194i | ||||
\(349\) | 10.1717 | + | 3.30500i | 0.544480 | + | 0.176912i | 0.568326 | − | 0.822803i | \(-0.307591\pi\) |
−0.0238460 | + | 0.999716i | \(0.507591\pi\) | |||||||
\(350\) | 3.88480 | + | 7.11962i | 0.207651 | + | 0.380560i | ||||
\(351\) | 0.0934769 | + | 0.162132i | 0.00498943 | + | 0.00865396i | ||||
\(352\) | 3.25063 | − | 0.658331i | 0.173259 | − | 0.0350892i | ||||
\(353\) | −29.8269 | − | 17.2206i | −1.58753 | − | 0.916559i | −0.993713 | − | 0.111956i | \(-0.964288\pi\) |
−0.593813 | − | 0.804603i | \(-0.702378\pi\) | |||||||
\(354\) | 5.79806 | − | 0.404271i | 0.308163 | − | 0.0214867i | ||||
\(355\) | 5.97189 | − | 1.26936i | 0.316955 | − | 0.0673708i | ||||
\(356\) | −5.23575 | + | 1.70120i | −0.277494 | + | 0.0901634i | ||||
\(357\) | 1.15900 | − | 0.435810i | 0.0613405 | − | 0.0230655i | ||||
\(358\) | 5.35578 | + | 7.37159i | 0.283062 | + | 0.389601i | ||||
\(359\) | −8.02146 | + | 8.90873i | −0.423356 | + | 0.470185i | −0.916657 | − | 0.399674i | \(-0.869123\pi\) |
0.493301 | + | 0.869859i | \(0.335790\pi\) | |||||||
\(360\) | 4.17011 | − | 0.143948i | 0.219784 | − | 0.00758674i | ||||
\(361\) | 13.4659 | − | 5.99541i | 0.708732 | − | 0.315548i | ||||
\(362\) | −8.95596 | − | 15.5122i | −0.470715 | − | 0.815302i | ||||
\(363\) | −4.89465 | − | 18.4131i | −0.256902 | − | 0.966437i | ||||
\(364\) | 0.0541366 | + | 0.0784200i | 0.00283753 | + | 0.00411033i | ||||
\(365\) | 9.08268 | + | 6.59895i | 0.475409 | + | 0.345405i | ||||
\(366\) | 12.6255 | + | 1.77698i | 0.659947 | + | 0.0928845i | ||||
\(367\) | 3.76050 | + | 0.799320i | 0.196297 | + | 0.0417241i | 0.305011 | − | 0.952349i | \(-0.401340\pi\) |
−0.108714 | + | 0.994073i | \(0.534673\pi\) | |||||||
\(368\) | 7.02909 | − | 0.738787i | 0.366417 | − | 0.0385119i | ||||
\(369\) | 1.38767 | + | 2.84804i | 0.0722392 | + | 0.148263i | ||||
\(370\) | −3.77482 | + | 1.22651i | −0.196244 | + | 0.0637635i | ||||
\(371\) | −33.5757 | + | 10.0215i | −1.74316 | + | 0.520288i | ||||
\(372\) | 8.71749 | − | 5.87748i | 0.451981 | − | 0.304733i | ||||
\(373\) | 12.6504 | − | 7.30370i | 0.655012 | − | 0.378171i | −0.135362 | − | 0.990796i | \(-0.543220\pi\) |
0.790374 | + | 0.612625i | \(0.209886\pi\) | |||||||
\(374\) | −0.593216 | − | 0.671714i | −0.0306745 | − | 0.0347335i | ||||
\(375\) | 14.8869 | − | 12.4865i | 0.768755 | − | 0.644800i | ||||
\(376\) | −4.14929 | − | 0.436108i | −0.213984 | − | 0.0224906i | ||||
\(377\) | −0.00348937 | − | 0.00113376i | −0.000179712 | − | 5.83918e-5i | ||||
\(378\) | −8.35300 | + | 10.9191i | −0.429632 | + | 0.561620i | ||||
\(379\) | −7.47992 | + | 5.43448i | −0.384218 | + | 0.279151i | −0.763082 | − | 0.646302i | \(-0.776315\pi\) |
0.378864 | + | 0.925452i | \(0.376315\pi\) | |||||||
\(380\) | −2.62245 | − | 1.16759i | −0.134529 | − | 0.0598960i | ||||
\(381\) | 17.7225 | + | 11.0792i | 0.907951 | + | 0.567604i | ||||
\(382\) | −18.9382 | + | 17.0520i | −0.968961 | + | 0.872457i | ||||
\(383\) | −21.4485 | − | 2.25433i | −1.09597 | − | 0.115191i | −0.460755 | − | 0.887527i | \(-0.652421\pi\) |
−0.635214 | + | 0.772336i | \(0.719088\pi\) | |||||||
\(384\) | −0.592723 | + | 1.62748i | −0.0302473 | + | 0.0830518i | ||||
\(385\) | −2.13358 | − | 12.0169i | −0.108737 | − | 0.612436i | ||||
\(386\) | − | 13.2475i | − | 0.674282i | ||||||
\(387\) | −13.5303 | − | 14.0223i | −0.687785 | − | 0.712794i | ||||
\(388\) | −12.0645 | − | 13.3990i | −0.612484 | − | 0.680233i | ||||
\(389\) | 1.17278 | − | 5.51749i | 0.0594622 | − | 0.279748i | −0.938364 | − | 0.345649i | \(-0.887659\pi\) |
0.997826 | + | 0.0659011i | \(0.0209922\pi\) | |||||||
\(390\) | 0.0602855 | − | 0.0624024i | 0.00305267 | − | 0.00315987i | ||||
\(391\) | −1.12252 | − | 1.54501i | −0.0567682 | − | 0.0781347i | ||||
\(392\) | −3.78806 | + | 5.88647i | −0.191326 | + | 0.297312i | ||||
\(393\) | 28.3945 | + | 22.1934i | 1.43231 | + | 1.11951i | ||||
\(394\) | −1.86838 | + | 17.7765i | −0.0941277 | + | 0.895566i | ||||
\(395\) | −1.21125 | + | 2.09794i | −0.0609444 | + | 0.105559i | ||||
\(396\) | 9.53647 | + | 2.83825i | 0.479226 | + | 0.142627i | ||||
\(397\) | −9.16739 | − | 15.8784i | −0.460098 | − | 0.796913i | 0.538867 | − | 0.842391i | \(-0.318852\pi\) |
−0.998965 | + | 0.0454775i | \(0.985519\pi\) | |||||||
\(398\) | −12.2530 | − | 8.90230i | −0.614185 | − | 0.446232i | ||||
\(399\) | 8.45639 | − | 4.23602i | 0.423349 | − | 0.212066i | ||||
\(400\) | 0.947289 | + | 2.91546i | 0.0473645 | + | 0.145773i | ||||
\(401\) | 6.91205 | − | 15.5247i | 0.345171 | − | 0.775267i | −0.654642 | − | 0.755939i | \(-0.727181\pi\) |
0.999813 | − | 0.0193282i | \(-0.00615275\pi\) | |||||||
\(402\) | −15.3882 | − | 3.83998i | −0.767492 | − | 0.191521i | ||||
\(403\) | 0.0454550 | − | 0.213849i | 0.00226428 | − | 0.0106526i | ||||
\(404\) | 1.83884 | − | 0.390857i | 0.0914857 | − | 0.0194459i | ||||
\(405\) | 11.2465 | + | 5.49647i | 0.558844 | + | 0.273122i | ||||
\(406\) | −0.0217037 | − | 0.268640i | −0.00107714 | − | 0.0133324i | ||||
\(407\) | −9.46414 | − | 0.0910305i | −0.469120 | − | 0.00451221i | ||||
\(408\) | 0.460911 | − | 0.0811757i | 0.0228185 | − | 0.00401880i | ||||
\(409\) | −10.7955 | − | 24.2471i | −0.533803 | − | 1.19894i | −0.956249 | − | 0.292553i | \(-0.905495\pi\) |
0.422446 | − | 0.906388i | \(-0.361172\pi\) | |||||||
\(410\) | 1.09154 | − | 0.982826i | 0.0539072 | − | 0.0485383i | ||||
\(411\) | −1.17445 | + | 0.624163i | −0.0579313 | + | 0.0307877i | ||||
\(412\) | −5.58940 | + | 4.06093i | −0.275370 | + | 0.200068i | ||||
\(413\) | 8.37508 | + | 2.94622i | 0.412111 | + | 0.144974i | ||||
\(414\) | 19.6563 | + | 7.95083i | 0.966054 | + | 0.390762i | ||||
\(415\) | −4.82013 | − | 22.6769i | −0.236611 | − | 1.11317i | ||||
\(416\) | 0.0146494 | + | 0.0329030i | 0.000718244 | + | 0.00161320i | ||||
\(417\) | −24.7645 | + | 20.7714i | −1.21272 | + | 1.01718i | ||||
\(418\) | −5.04270 | − | 4.62906i | −0.246647 | − | 0.226415i | ||||
\(419\) | 30.2025i | 1.47549i | 0.675079 | + | 0.737745i | \(0.264110\pi\) | ||||
−0.675079 | + | 0.737745i | \(0.735890\pi\) | |||||||
\(420\) | 5.93462 | + | 2.32486i | 0.289580 | + | 0.113442i | ||||
\(421\) | −11.3748 | + | 35.0079i | −0.554372 | + | 1.70618i | 0.143223 | + | 0.989690i | \(0.454253\pi\) |
−0.697596 | + | 0.716492i | \(0.745747\pi\) | |||||||
\(422\) | −18.7795 | − | 16.9091i | −0.914170 | − | 0.823122i | ||||
\(423\) | −10.3738 | − | 7.00327i | −0.504391 | − | 0.340511i | ||||
\(424\) | −13.1711 | + | 1.38434i | −0.639645 | + | 0.0672294i | ||||
\(425\) | 0.554244 | − | 0.615550i | 0.0268848 | − | 0.0298586i | ||||
\(426\) | −4.68205 | + | 5.99027i | −0.226846 | + | 0.290230i | ||||
\(427\) | 16.6270 | + | 10.1416i | 0.804638 | + | 0.490788i | ||||
\(428\) | −6.23918 | −0.301582 | ||||||||
\(429\) | 0.183628 | − | 0.0953357i | 0.00886562 | − | 0.00460285i | ||||
\(430\) | −4.51701 | + | 7.82369i | −0.217830 | + | 0.377292i | ||||
\(431\) | −9.32111 | + | 4.15003i | −0.448982 | + | 0.199900i | −0.618756 | − | 0.785583i | \(-0.712363\pi\) |
0.169774 | + | 0.985483i | \(0.445696\pi\) | |||||||
\(432\) | −3.86359 | + | 3.47458i | −0.185887 | + | 0.167171i | ||||
\(433\) | −2.20124 | − | 6.77473i | −0.105785 | − | 0.325573i | 0.884129 | − | 0.467243i | \(-0.154753\pi\) |
−0.989914 | + | 0.141670i | \(0.954753\pi\) | |||||||
\(434\) | 15.7850 | − | 2.95949i | 0.757705 | − | 0.142060i | ||||
\(435\) | −0.235911 | + | 0.0675951i | −0.0113111 | + | 0.00324094i | ||||
\(436\) | 8.96118 | + | 8.06869i | 0.429163 | + | 0.386420i | ||||
\(437\) | −9.76083 | − | 10.8405i | −0.466924 | − | 0.518571i | ||||
\(438\) | −13.9469 | + | 0.972452i | −0.666410 | + | 0.0464656i | ||||
\(439\) | −19.2925 | + | 11.1385i | −0.920779 | + | 0.531612i | −0.883884 | − | 0.467707i | \(-0.845080\pi\) |
−0.0368957 | + | 0.999319i | \(0.511747\pi\) | |||||||
\(440\) | 0.0443677 | − | 4.61277i | 0.00211515 | − | 0.219905i | ||||
\(441\) | −18.3287 | + | 10.2498i | −0.872795 | + | 0.488087i | ||||
\(442\) | 0.00572023 | − | 0.00787322i | 0.000272084 | − | 0.000374491i | ||||
\(443\) | −5.91762 | − | 27.8402i | −0.281155 | − | 1.32273i | −0.861250 | − | 0.508181i | \(-0.830318\pi\) |
0.580096 | − | 0.814548i | \(-0.303015\pi\) | |||||||
\(444\) | 2.62008 | − | 4.19114i | 0.124344 | − | 0.198903i | ||||
\(445\) | 0.800373 | + | 7.61504i | 0.0379413 | + | 0.360988i | ||||
\(446\) | 12.5112 | + | 5.57034i | 0.592422 | + | 0.263763i | ||||
\(447\) | −26.1257 | − | 0.917578i | −1.23570 | − | 0.0433999i | ||||
\(448\) | −1.81723 | + | 1.92294i | −0.0858559 | + | 0.0908502i | ||||
\(449\) | −5.84081 | + | 8.03918i | −0.275645 | + | 0.379392i | −0.924285 | − | 0.381703i | \(-0.875338\pi\) |
0.648641 | + | 0.761095i | \(0.275338\pi\) | |||||||
\(450\) | −1.60059 | + | 9.05612i | −0.0754523 | + | 0.426910i | ||||
\(451\) | 3.21324 | − | 1.39375i | 0.151305 | − | 0.0656291i | ||||
\(452\) | 8.30637 | + | 4.79569i | 0.390699 | + | 0.225570i | ||||
\(453\) | 6.39207 | − | 13.0990i | 0.300326 | − | 0.615445i | ||||
\(454\) | 3.43778 | − | 10.5804i | 0.161343 | − | 0.496563i | ||||
\(455\) | 0.122343 | − | 0.0509741i | 0.00573554 | − | 0.00238970i | ||||
\(456\) | 3.43652 | − | 0.984659i | 0.160930 | − | 0.0461109i | ||||
\(457\) | 6.00967 | − | 13.4979i | 0.281120 | − | 0.631407i | −0.716701 | − | 0.697381i | \(-0.754349\pi\) |
0.997821 | + | 0.0659739i | \(0.0210154\pi\) | |||||||
\(458\) | −25.7175 | − | 5.46643i | −1.20170 | − | 0.255429i | ||||
\(459\) | 1.33504 | + | 0.434668i | 0.0623141 | + | 0.0202886i | ||||
\(460\) | 1.02755 | − | 9.77652i | 0.0479100 | − | 0.455833i | ||||
\(461\) | 19.9169 | 0.927621 | 0.463810 | − | 0.885935i | \(-0.346482\pi\) | ||||
0.463810 | + | 0.885935i | \(0.346482\pi\) | |||||||
\(462\) | 11.6525 | + | 9.75806i | 0.542122 | + | 0.453986i | ||||
\(463\) | 11.6985 | 0.543673 | 0.271837 | − | 0.962343i | \(-0.412369\pi\) | ||||
0.271837 | + | 0.962343i | \(0.412369\pi\) | |||||||
\(464\) | 0.0106480 | − | 0.101309i | 0.000494323 | − | 0.00470317i | ||||
\(465\) | −5.47524 | − | 13.5595i | −0.253908 | − | 0.628808i | ||||
\(466\) | −3.89615 | − | 0.828152i | −0.180486 | − | 0.0383634i | ||||
\(467\) | 5.13763 | − | 11.5393i | 0.237741 | − | 0.533975i | −0.754790 | − | 0.655966i | \(-0.772261\pi\) |
0.992531 | + | 0.121991i | \(0.0389280\pi\) | |||||||
\(468\) | −0.00758047 | + | 0.107784i | −0.000350407 | + | 0.00498233i | ||||
\(469\) | −19.2508 | − | 14.7083i | −0.888921 | − | 0.679166i | ||||
\(470\) | −1.79320 | + | 5.51889i | −0.0827139 | + | 0.254567i | ||||
\(471\) | −16.6613 | − | 8.13038i | −0.767710 | − | 0.374628i | ||||
\(472\) | 2.90607 | + | 1.67782i | 0.133763 | + | 0.0772279i | ||||
\(473\) | −16.1470 | + | 14.2600i | −0.742438 | + | 0.655674i | ||||
\(474\) | −0.523255 | − | 2.97101i | −0.0240339 | − | 0.136463i | ||||
\(475\) | 3.71886 | − | 5.11857i | 0.170633 | − | 0.234856i | ||||
\(476\) | 0.695482 | + | 0.165444i | 0.0318774 | + | 0.00758311i | ||||
\(477\) | −36.8319 | − | 14.8983i | −1.68642 | − | 0.682144i | ||||
\(478\) | −15.8476 | − | 7.05580i | −0.724852 | − | 0.322725i | ||||
\(479\) | 2.21572 | + | 21.0811i | 0.101239 | + | 0.963221i | 0.920749 | + | 0.390156i | \(0.127579\pi\) |
−0.819510 | + | 0.573065i | \(0.805754\pi\) | |||||||
\(480\) | 2.04273 | + | 1.27701i | 0.0932376 | + | 0.0582874i | ||||
\(481\) | −0.0213693 | − | 0.100534i | −0.000974354 | − | 0.00458398i | ||||
\(482\) | 4.12113 | − | 5.67225i | 0.187712 | − | 0.258364i | ||||
\(483\) | 22.7449 | + | 23.0587i | 1.03493 | + | 1.04921i | ||||
\(484\) | 3.59979 | − | 10.3943i | 0.163627 | − | 0.472468i | ||||
\(485\) | −21.7178 | + | 12.5388i | −0.986154 | + | 0.569357i | ||||
\(486\) | −15.1292 | + | 3.75602i | −0.686274 | + | 0.170376i | ||||
\(487\) | 12.7327 | + | 14.1411i | 0.576976 | + | 0.640796i | 0.959017 | − | 0.283349i | \(-0.0914455\pi\) |
−0.382041 | + | 0.924145i | \(0.624779\pi\) | |||||||
\(488\) | 5.47043 | + | 4.92560i | 0.247635 | + | 0.222971i | ||||
\(489\) | 3.04130 | + | 10.6143i | 0.137532 | + | 0.479996i | ||||
\(490\) | 6.91296 | + | 6.85579i | 0.312296 | + | 0.309713i | ||||
\(491\) | −4.48973 | − | 13.8180i | −0.202619 | − | 0.623597i | −0.999803 | − | 0.0198601i | \(-0.993678\pi\) |
0.797184 | − | 0.603736i | \(-0.206322\pi\) | |||||||
\(492\) | −0.254927 | + | 1.81126i | −0.0114930 | + | 0.0816580i | ||||
\(493\) | −0.0251452 | + | 0.0111954i | −0.00113248 | + | 0.000504214i | ||||
\(494\) | 0.0371678 | − | 0.0643764i | 0.00167226 | − | 0.00289643i | ||||
\(495\) | 6.61909 | − | 12.1534i | 0.297506 | − | 0.546253i | ||||
\(496\) | 6.07013 | 0.272557 | ||||||||
\(497\) | −10.1948 | + | 5.56276i | −0.457299 | + | 0.249524i | ||||
\(498\) | 22.7468 | + | 17.7791i | 1.01931 | + | 0.796699i | ||||
\(499\) | −15.3267 | + | 17.0220i | −0.686115 | + | 0.762008i | −0.981102 | − | 0.193493i | \(-0.938018\pi\) |
0.294986 | + | 0.955502i | \(0.404685\pi\) | |||||||
\(500\) | 11.1566 | − | 1.17260i | 0.498937 | − | 0.0524404i | ||||
\(501\) | 3.00765 | + | 0.750531i | 0.134372 | + | 0.0335313i | ||||
\(502\) | 1.28852 | + | 1.16019i | 0.0575094 | + | 0.0517817i | ||||
\(503\) | 3.42978 | − | 10.5558i | 0.152926 | − | 0.470659i | −0.845019 | − | 0.534737i | \(-0.820411\pi\) |
0.997945 | + | 0.0640781i | \(0.0204107\pi\) | |||||||
\(504\) | −7.52286 | + | 2.53113i | −0.335095 | + | 0.112746i | ||||
\(505\) | − | 2.61472i | − | 0.116353i | ||||||
\(506\) | 9.73995 | − | 21.3220i | 0.432994 | − | 0.947877i | ||||
\(507\) | −14.4685 | − | 17.2499i | −0.642570 | − | 0.766097i | ||||
\(508\) | 4.90808 | + | 11.0237i | 0.217761 | + | 0.489099i | ||||
\(509\) | −1.01337 | − | 4.76752i | −0.0449167 | − | 0.211316i | 0.949966 | − | 0.312353i | \(-0.101117\pi\) |
−0.994883 | + | 0.101037i | \(0.967784\pi\) | |||||||
\(510\) | 0.0228477 | − | 0.650531i | 0.00101171 | − | 0.0288060i | ||||
\(511\) | −20.1458 | − | 7.08697i | −0.891198 | − | 0.313509i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | 10.4887 | + | 2.23604i | 0.463087 | + | 0.0987236i | ||||
\(514\) | −10.3606 | + | 9.32872i | −0.456986 | + | 0.411472i | ||||
\(515\) | 3.90846 | + | 8.77855i | 0.172227 | + | 0.386829i | ||||
\(516\) | −1.95134 | − | 11.0796i | −0.0859028 | − | 0.487751i | ||||
\(517\) | −8.24075 | + | 11.1160i | −0.362428 | + | 0.488881i | ||||
\(518\) | 6.21336 | − | 4.28935i | 0.273000 | − | 0.188463i | ||||
\(519\) | −9.79945 | + | 6.60695i | −0.430148 | + | 0.290013i | ||||
\(520\) | 0.0489999 | − | 0.0104152i | 0.00214879 | − | 0.000456739i | ||||
\(521\) | 1.03203 | − | 4.85534i | 0.0452143 | − | 0.212716i | −0.949741 | − | 0.313037i | \(-0.898654\pi\) |
0.994955 | + | 0.100321i | \(0.0319869\pi\) | |||||||
\(522\) | 0.170992 | − | 0.253287i | 0.00748412 | − | 0.0110861i | ||||
\(523\) | 4.45842 | − | 10.0138i | 0.194953 | − | 0.437871i | −0.789447 | − | 0.613819i | \(-0.789632\pi\) |
0.984399 | + | 0.175948i | \(0.0562990\pi\) | |||||||
\(524\) | 6.42972 | + | 19.7887i | 0.280884 | + | 0.864472i | ||||
\(525\) | −7.73154 | + | 11.7288i | −0.337432 | + | 0.511888i | ||||
\(526\) | 2.12769 | + | 1.54586i | 0.0927716 | + | 0.0674025i | ||||
\(527\) | −0.820082 | − | 1.42042i | −0.0357234 | − | 0.0618747i | ||||
\(528\) | 3.64915 | + | 4.43663i | 0.158809 | + | 0.193080i | ||||
\(529\) | 13.4770 | − | 23.3428i | 0.585955 | − | 1.01490i | ||||
\(530\) | −1.92543 | + | 18.3192i | −0.0836353 | + | 0.795736i | ||||
\(531\) | 5.33122 | + | 8.53936i | 0.231355 | + | 0.370577i | ||||
\(532\) | 5.41535 | + | 0.701509i | 0.234785 | + | 0.0304143i | ||||
\(533\) | 0.0223565 | + | 0.0307711i | 0.000968369 | + | 0.00133285i | ||||
\(534\) | −6.85778 | − | 6.62514i | −0.296765 | − | 0.286698i | ||||
\(535\) | −1.80423 | + | 8.48823i | −0.0780036 | + | 0.366978i | ||||
\(536\) | −6.12709 | − | 6.80483i | −0.264650 | − | 0.293924i | ||||
\(537\) | −6.92126 | + | 14.1835i | −0.298674 | + | 0.612061i | ||||
\(538\) | 30.0194i | 1.29423i | ||||||||
\(539\) | 10.4268 | + | 20.7432i | 0.449114 | + | 0.893475i | ||||
\(540\) | 3.60981 | + | 6.26107i | 0.155341 | + | 0.269434i | ||||
\(541\) | 31.6270 | + | 3.32413i | 1.35975 | + | 0.142916i | 0.756164 | − | 0.654382i | \(-0.227071\pi\) |
0.603586 | + | 0.797298i | \(0.293738\pi\) | |||||||
\(542\) | 13.9317 | − | 12.5442i | 0.598419 | − | 0.538819i | ||||
\(543\) | 16.4457 | − | 26.3069i | 0.705752 | − | 1.12894i | ||||
\(544\) | 0.246842 | + | 0.109901i | 0.0105833 | + | 0.00471198i | ||||
\(545\) | 13.5686 | − | 9.85816i | 0.581215 | − | 0.422277i | ||||
\(546\) | −0.0759368 | + | 0.146544i | −0.00324979 | + | 0.00627149i | ||||
\(547\) | 31.6493 | + | 10.2835i | 1.35322 | + | 0.439689i | 0.893775 | − | 0.448515i | \(-0.148047\pi\) |
0.459449 | + | 0.888204i | \(0.348047\pi\) | |||||||
\(548\) | −0.763672 | − | 0.0802651i | −0.0326224 | − | 0.00342876i | ||||
\(549\) | 7.54470 | + | 20.7548i | 0.322000 | + | 0.885794i | ||||
\(550\) | 9.92412 | + | 2.20941i | 0.423166 | + | 0.0942095i | ||||
\(551\) | −0.182078 | + | 0.105123i | −0.00775677 | + | 0.00447837i | ||||
\(552\) | 6.84349 | + | 10.1503i | 0.291278 | + | 0.432025i | ||||
\(553\) | 1.06644 | − | 4.48304i | 0.0453498 | − | 0.190638i | ||||
\(554\) | −20.1506 | + | 6.54732i | −0.856117 | + | 0.278169i | ||||
\(555\) | −4.94426 | − | 4.77653i | −0.209872 | − | 0.202752i | ||||
\(556\) | −18.5591 | + | 1.95064i | −0.787080 | + | 0.0827255i | ||||
\(557\) | 15.2163 | + | 3.23433i | 0.644737 | + | 0.137043i | 0.518664 | − | 0.854978i | \(-0.326429\pi\) |
0.126073 | + | 0.992021i | \(0.459763\pi\) | |||||||
\(558\) | 16.0754 | + | 8.55571i | 0.680525 | + | 0.362192i | ||||
\(559\) | −0.189260 | − | 0.137505i | −0.00800484 | − | 0.00581586i | ||||
\(560\) | 2.09060 | + | 3.02836i | 0.0883440 | + | 0.127971i | ||||
\(561\) | 0.545178 | − | 1.45330i | 0.0230174 | − | 0.0613586i | ||||
\(562\) | 12.9811 | + | 22.4840i | 0.547576 | + | 0.948429i | ||||
\(563\) | −1.94895 | + | 0.867728i | −0.0821384 | + | 0.0365704i | −0.447395 | − | 0.894337i | \(-0.647648\pi\) |
0.365256 | + | 0.930907i | \(0.380981\pi\) | |||||||
\(564\) | −2.70570 | − | 6.70072i | −0.113931 | − | 0.282151i | ||||
\(565\) | 8.92641 | − | 9.91378i | 0.375537 | − | 0.417076i | ||||
\(566\) | −11.8130 | − | 16.2592i | −0.496536 | − | 0.683423i | ||||
\(567\) | −23.4902 | − | 3.90016i | −0.986495 | − | 0.163791i | ||||
\(568\) | −4.17473 | + | 1.35645i | −0.175168 | + | 0.0569154i | ||||
\(569\) | −36.4653 | + | 7.75094i | −1.52871 | + | 0.324936i | −0.894089 | − | 0.447890i | \(-0.852176\pi\) |
−0.634617 | + | 0.772827i | \(0.718842\pi\) | |||||||
\(570\) | −0.345839 | − | 4.96002i | −0.0144856 | − | 0.207753i | ||||
\(571\) | 11.4948 | + | 6.63655i | 0.481044 | + | 0.277731i | 0.720852 | − | 0.693089i | \(-0.243751\pi\) |
−0.239807 | + | 0.970821i | \(0.577084\pi\) | |||||||
\(572\) | 0.118674 | + | 0.0136284i | 0.00496202 | + | 0.000569832i | ||||
\(573\) | −41.4743 | − | 15.1048i | −1.73261 | − | 0.631014i | ||||
\(574\) | −1.45492 | + | 2.38532i | −0.0607273 | + | 0.0995613i | ||||
\(575\) | 20.6059 | + | 6.69526i | 0.859325 | + | 0.279212i | ||||
\(576\) | −2.97097 | + | 0.416327i | −0.123790 | + | 0.0173470i | ||||
\(577\) | 0.442689 | + | 4.21190i | 0.0184294 | + | 0.175344i | 0.999865 | − | 0.0164497i | \(-0.00523633\pi\) |
−0.981435 | + | 0.191793i | \(0.938570\pi\) | |||||||
\(578\) | 1.76935 | + | 16.8343i | 0.0735954 | + | 0.700213i | ||||
\(579\) | 20.2617 | − | 10.7681i | 0.842049 | − | 0.447509i | ||||
\(580\) | −0.134749 | − | 0.0437827i | −0.00559516 | − | 0.00181798i | ||||
\(581\) | 21.1234 | + | 38.7125i | 0.876345 | + | 1.60607i | ||||
\(582\) | 10.6869 | − | 29.3437i | 0.442986 | − | 1.21633i | ||||
\(583\) | −18.2507 | + | 39.9531i | −0.755867 | + | 1.65469i | ||||
\(584\) | −6.99039 | − | 4.03591i | −0.289265 | − | 0.167007i | ||||
\(585\) | 0.144445 | + | 0.0414818i | 0.00597208 | + | 0.00171506i | ||||
\(586\) | 23.8487 | − | 5.06920i | 0.985182 | − | 0.209407i | ||||
\(587\) | 37.5493 | − | 12.2005i | 1.54983 | − | 0.503569i | 0.595759 | − | 0.803163i | \(-0.296851\pi\) |
0.954067 | + | 0.299594i | \(0.0968513\pi\) | |||||||
\(588\) | −12.0823 | − | 1.00897i | −0.498266 | − | 0.0416092i | ||||
\(589\) | −7.36389 | − | 10.1355i | −0.303424 | − | 0.417627i | ||||
\(590\) | 3.12299 | − | 3.46844i | 0.128572 | − | 0.142793i | ||||
\(591\) | −28.7073 | + | 11.5918i | −1.18086 | + | 0.476824i | ||||
\(592\) | 2.60697 | − | 1.16070i | 0.107146 | − | 0.0477043i | ||||
\(593\) | −0.323227 | − | 0.559845i | −0.0132733 | − | 0.0229901i | 0.859312 | − | 0.511451i | \(-0.170892\pi\) |
−0.872586 | + | 0.488461i | \(0.837558\pi\) | |||||||
\(594\) | 3.41062 | + | 16.8928i | 0.139939 | + | 0.693121i | ||||
\(595\) | 0.426199 | − | 0.898341i | 0.0174725 | − | 0.0368284i | ||||
\(596\) | −12.2105 | − | 8.87144i | −0.500161 | − | 0.363388i | ||||
\(597\) | 3.65611 | − | 25.9767i | 0.149634 | − | 1.06316i | ||||
\(598\) | 0.248997 | + | 0.0529260i | 0.0101823 | + | 0.00216430i | ||||
\(599\) | 33.8159 | − | 3.55420i | 1.38168 | − | 0.145221i | 0.615648 | − | 0.788021i | \(-0.288894\pi\) |
0.766033 | + | 0.642801i | \(0.222228\pi\) | |||||||
\(600\) | −3.68912 | + | 3.81866i | −0.150608 | + | 0.155896i | ||||
\(601\) | 36.4603 | − | 11.8467i | 1.48725 | − | 0.483236i | 0.550978 | − | 0.834520i | \(-0.314255\pi\) |
0.936269 | + | 0.351284i | \(0.114255\pi\) | |||||||
\(602\) | 3.97701 | − | 16.7183i | 0.162091 | − | 0.681387i | ||||
\(603\) | −6.63499 | − | 26.6571i | −0.270198 | − | 1.08556i | ||||
\(604\) | 7.28771 | − | 4.20756i | 0.296533 | − | 0.171203i | ||||
\(605\) | −13.1002 | − | 7.90321i | −0.532598 | − | 0.321311i | ||||
\(606\) | 2.09249 | + | 2.49475i | 0.0850016 | + | 0.101342i | ||||
\(607\) | −3.84714 | − | 0.404351i | −0.156151 | − | 0.0164121i | 0.0261305 | − | 0.999659i | \(-0.491681\pi\) |
−0.182281 | + | 0.983246i | \(0.558348\pi\) | |||||||
\(608\) | 1.96290 | + | 0.637784i | 0.0796060 | + | 0.0258655i | ||||
\(609\) | 0.393237 | − | 0.251557i | 0.0159348 | − | 0.0101936i | ||||
\(610\) | 8.28307 | − | 6.01800i | 0.335372 | − | 0.243662i | ||||
\(611\) | −0.137276 | − | 0.0611193i | −0.00555360 | − | 0.00247262i | ||||
\(612\) | 0.498804 | + | 0.638968i | 0.0201630 | + | 0.0258288i | ||||
\(613\) | −7.21288 | + | 6.49451i | −0.291326 | + | 0.262311i | −0.801814 | − | 0.597574i | \(-0.796131\pi\) |
0.510488 | + | 0.859885i | \(0.329465\pi\) | |||||||
\(614\) | 27.8672 | + | 2.92896i | 1.12463 | + | 0.118203i | ||||
\(615\) | 2.39045 | + | 0.870597i | 0.0963924 | + | 0.0351059i | ||||
\(616\) | 2.42870 | + | 8.43217i | 0.0978551 | + | 0.339742i | ||||
\(617\) | 4.77106i | 0.192076i | 0.995378 | + | 0.0960379i | \(0.0306170\pi\) | ||||
−0.995378 | + | 0.0960379i | \(0.969383\pi\) | |||||||
\(618\) | −10.7544 | − | 5.24793i | −0.432605 | − | 0.211103i | ||||
\(619\) | −27.7417 | − | 30.8103i | −1.11503 | − | 1.23837i | −0.968460 | − | 0.249169i | \(-0.919843\pi\) |
−0.146572 | − | 0.989200i | \(-0.546824\pi\) | |||||||
\(620\) | 1.75534 | − | 8.25824i | 0.0704963 | − | 0.331659i | ||||
\(621\) | 3.81687 | + | 36.5265i | 0.153166 | + | 1.46576i | ||||
\(622\) | −5.86476 | − | 8.07215i | −0.235155 | − | 0.323664i | ||||
\(623\) | −5.60185 | − | 13.4451i | −0.224434 | − | 0.538665i | ||||
\(624\) | −0.0384166 | + | 0.0491507i | −0.00153790 | + | 0.00196760i | ||||
\(625\) | 0.0287763 | − | 0.273789i | 0.00115105 | − | 0.0109515i | ||||
\(626\) | −1.30838 | + | 2.26619i | −0.0522935 | + | 0.0905750i | ||||
\(627\) | 2.98111 | − | 11.4754i | 0.119054 | − | 0.458282i | ||||
\(628\) | −5.35180 | − | 9.26958i | −0.213560 | − | 0.369897i | ||||
\(629\) | −0.623810 | − | 0.453225i | −0.0248729 | − | 0.0180713i | ||||
\(630\) | 1.26809 | + | 10.9666i | 0.0505221 | + | 0.436919i | ||||
\(631\) | −6.03045 | − | 18.5598i | −0.240069 | − | 0.738855i | −0.996409 | − | 0.0846763i | \(-0.973014\pi\) |
0.756340 | − | 0.654179i | \(-0.226986\pi\) | |||||||
\(632\) | 0.708419 | − | 1.59114i | 0.0281794 | − | 0.0632920i | ||||
\(633\) | 10.5973 | − | 42.4671i | 0.421204 | − | 1.68792i | ||||
\(634\) | −0.239640 | + | 1.12742i | −0.00951732 | + | 0.0447755i | ||||
\(635\) | 16.4168 | − | 3.48949i | 0.651480 | − | 0.138476i | ||||
\(636\) | −12.8233 | − | 19.0196i | −0.508478 | − | 0.754176i | ||||
\(637\) | −0.195272 | + | 0.159475i | −0.00773695 | + | 0.00631863i | ||||
\(638\) | −0.271408 | − | 0.201206i | −0.0107452 | − | 0.00796584i | ||||
\(639\) | −12.9677 | − | 2.29193i | −0.512995 | − | 0.0906672i | ||||
\(640\) | 0.565716 | + | 1.27062i | 0.0223619 | + | 0.0502256i | ||||
\(641\) | −24.4067 | + | 21.9759i | −0.964009 | + | 0.867997i | −0.991299 | − | 0.131630i | \(-0.957979\pi\) |
0.0272903 | + | 0.999628i | \(0.491312\pi\) | |||||||
\(642\) | −5.07147 | − | 9.54266i | −0.200155 | − | 0.376619i | ||||
\(643\) | 7.46873 | − | 5.42635i | 0.294538 | − | 0.213994i | −0.430696 | − | 0.902497i | \(-0.641732\pi\) |
0.725234 | + | 0.688503i | \(0.241732\pi\) | |||||||
\(644\) | 3.44591 | + | 18.3794i | 0.135788 | + | 0.724251i | ||||
\(645\) | −15.6377 | − | 0.549223i | −0.615735 | − | 0.0216256i | ||||
\(646\) | −0.115947 | − | 0.545488i | −0.00456188 | − | 0.0214619i | ||||
\(647\) | 13.2674 | + | 29.7991i | 0.521596 | + | 1.17152i | 0.961832 | + | 0.273642i | \(0.0882282\pi\) |
−0.440236 | + | 0.897882i | \(0.645105\pi\) | |||||||
\(648\) | −8.45476 | − | 3.08497i | −0.332134 | − | 0.121189i | ||||
\(649\) | 9.69141 | − | 5.47174i | 0.380421 | − | 0.214784i | ||||
\(650\) | 0.110409i | 0.00433061i | ||||||||
\(651\) | 17.3572 | + | 21.7372i | 0.680281 | + | 0.851946i | ||||
\(652\) | −1.96991 | + | 6.06277i | −0.0771478 | + | 0.237437i | ||||
\(653\) | 21.9500 | + | 19.7639i | 0.858972 | + | 0.773422i | 0.975554 | − | 0.219759i | \(-0.0705272\pi\) |
−0.116582 | + | 0.993181i | \(0.537194\pi\) | |||||||
\(654\) | −5.05681 | + | 20.2645i | −0.197737 | + | 0.792403i | ||||
\(655\) | 28.7812 | − | 3.02503i | 1.12458 | − | 0.118198i | ||||
\(656\) | −0.706629 | + | 0.784791i | −0.0275892 | + | 0.0306409i | ||||
\(657\) | −12.8240 | − | 20.5410i | −0.500311 | − | 0.801381i | ||||
\(658\) | 0.266043 | − | 11.0353i | 0.0103715 | − | 0.430199i | ||||
\(659\) | 41.6105 | 1.62092 | 0.810458 | − | 0.585797i | \(-0.199218\pi\) | ||||
0.810458 | + | 0.585797i | \(0.199218\pi\) | |||||||
\(660\) | 7.09117 | − | 3.68159i | 0.276023 | − | 0.143306i | ||||
\(661\) | 0.0683175 | − | 0.118329i | 0.00265724 | − | 0.00460248i | −0.864694 | − | 0.502299i | \(-0.832488\pi\) |
0.867351 | + | 0.497697i | \(0.165821\pi\) | |||||||
\(662\) | −27.3543 | + | 12.1789i | −1.06316 | + | 0.473348i | ||||
\(663\) | 0.0166915 | + | 0.00234926i | 0.000648245 | + | 9.12376e-5i | ||||
\(664\) | 5.15083 | + | 15.8526i | 0.199891 | + | 0.615201i | ||||
\(665\) | 2.52038 | − | 7.16457i | 0.0977361 | − | 0.277830i | ||||
\(666\) | 8.53994 | + | 0.600614i | 0.330916 | + | 0.0232733i | ||||
\(667\) | −0.535049 | − | 0.481760i | −0.0207172 | − | 0.0186538i | ||||
\(668\) | 1.19755 | + | 1.33002i | 0.0463347 | + | 0.0514599i | ||||
\(669\) | 1.64993 | + | 23.6633i | 0.0637900 | + | 0.914877i | ||||
\(670\) | −11.0296 | + | 6.36794i | −0.426110 | + | 0.246015i | ||||
\(671\) | 23.2909 | − | 7.32077i | 0.899135 | − | 0.282615i | ||||
\(672\) | −4.41820 | − | 1.21636i | −0.170436 | − | 0.0469219i | ||||
\(673\) | 26.2559 | − | 36.1381i | 1.01209 | − | 1.39302i | 0.0944848 | − | 0.995526i | \(-0.469880\pi\) |
0.917604 | − | 0.397495i | \(-0.130120\pi\) | |||||||
\(674\) | −2.32287 | − | 10.9283i | −0.0894737 | − | 0.420941i | ||||
\(675\) | −15.1521 | + | 4.91314i | −0.583205 | + | 0.189107i | ||||
\(676\) | −1.35873 | − | 12.9275i | −0.0522590 | − | 0.497211i | ||||
\(677\) | −3.85722 | − | 1.71734i | −0.148245 | − | 0.0660029i | 0.331273 | − | 0.943535i | \(-0.392522\pi\) |
−0.479518 | + | 0.877532i | \(0.659189\pi\) | |||||||
\(678\) | −0.583107 | + | 16.6025i | −0.0223941 | + | 0.637615i | ||||
\(679\) | 32.7649 | − | 34.6709i | 1.25740 | − | 1.33055i | ||||
\(680\) | 0.220899 | − | 0.304041i | 0.00847109 | − | 0.0116595i | ||||
\(681\) | 18.9768 | − | 3.34220i | 0.727193 | − | 0.128073i | ||||
\(682\) | 10.2334 | − | 17.3375i | 0.391857 | − | 0.663887i | ||||
\(683\) | 24.2149 | + | 13.9805i | 0.926559 | + | 0.534949i | 0.885722 | − | 0.464217i | \(-0.153664\pi\) |
0.0408374 | + | 0.999166i | \(0.486997\pi\) | |||||||
\(684\) | 4.29935 | + | 4.45569i | 0.164390 | + | 0.170367i | ||||
\(685\) | −0.330035 | + | 1.01574i | −0.0126100 | + | 0.0388095i | ||||
\(686\) | −16.3306 | − | 8.73556i | −0.623507 | − | 0.333525i | ||||
\(687\) | −12.5435 | − | 43.7776i | −0.478565 | − | 1.67022i | ||||
\(688\) | 2.64186 | − | 5.93371i | 0.100720 | − | 0.226220i | ||||
\(689\) | −0.466570 | − | 0.0991726i | −0.0177749 | − | 0.00377818i | ||||
\(690\) | 15.7882 | − | 6.37515i | 0.601045 | − | 0.242698i | ||||
\(691\) | 3.08560 | − | 29.3575i | 0.117382 | − | 1.11681i | −0.764265 | − | 0.644902i | \(-0.776898\pi\) |
0.881647 | − | 0.471910i | \(-0.156435\pi\) | |||||||
\(692\) | −6.82351 | −0.259391 | ||||||||
\(693\) | −5.45308 | + | 25.7539i | −0.207145 | + | 0.978310i | ||||
\(694\) | −15.2368 | −0.578382 | ||||||||
\(695\) | −2.71308 | + | 25.8132i | −0.102913 | + | 0.979150i | ||||
\(696\) | 0.163605 | − | 0.0660626i | 0.00620143 | − | 0.00250410i | ||||
\(697\) | 0.279109 | + | 0.0593265i | 0.0105720 | + | 0.00224715i | ||||
\(698\) | −4.35013 | + | 9.77054i | −0.164655 | + | 0.369820i | ||||
\(699\) | −1.90032 | − | 6.63221i | −0.0718765 | − | 0.250853i | ||||
\(700\) | −7.48669 | + | 3.11932i | −0.282970 | + | 0.117899i | ||||
\(701\) | 11.9775 | − | 36.8630i | 0.452384 | − | 1.39229i | −0.421795 | − | 0.906691i | \(-0.638600\pi\) |
0.874179 | − | 0.485604i | \(-0.161400\pi\) | |||||||
\(702\) | −0.171015 | + | 0.0760174i | −0.00645454 | + | 0.00286909i | ||||
\(703\) | −5.10066 | − | 2.94487i | −0.192375 | − | 0.111068i | ||||
\(704\) | 0.314941 | + | 3.30164i | 0.0118698 | + | 0.124435i | ||||
\(705\) | −9.89857 | + | 1.74334i | −0.372802 | + | 0.0656579i | ||||
\(706\) | 20.2440 | − | 27.8635i | 0.761893 | − | 1.04866i | ||||
\(707\) | 1.42253 | + | 4.76604i | 0.0534999 | + | 0.179245i | ||||
\(708\) | −0.204006 | + | 5.80855i | −0.00766701 | + | 0.218299i | ||||
\(709\) | 0.259766 | + | 0.115655i | 0.00975571 | + | 0.00434352i | 0.411609 | − | 0.911361i | \(-0.364967\pi\) |
−0.401853 | + | 0.915704i | \(0.631634\pi\) | |||||||
\(710\) | 0.638178 | + | 6.07186i | 0.0239504 | + | 0.227873i | ||||
\(711\) | 4.11876 | − | 3.21527i | 0.154466 | − | 0.120582i | ||||
\(712\) | −1.14459 | − | 5.38489i | −0.0428955 | − | 0.201807i | ||||
\(713\) | 25.2175 | − | 34.7089i | 0.944401 | − | 1.29986i | ||||
\(714\) | 0.312274 | + | 1.19820i | 0.0116866 | + | 0.0448415i | ||||
\(715\) | 0.0528590 | − | 0.157512i | 0.00197681 | − | 0.00589062i | ||||
\(716\) | −7.89104 | + | 4.55590i | −0.294902 | + | 0.170262i | ||||
\(717\) | −2.08992 | − | 29.9737i | −0.0780497 | − | 1.11939i | ||||
\(718\) | −8.02146 | − | 8.90873i | −0.299358 | − | 0.332471i | ||||
\(719\) | 34.0908 | + | 30.6955i | 1.27137 | + | 1.14475i | 0.982274 | + | 0.187450i | \(0.0600223\pi\) |
0.289099 | + | 0.957299i | \(0.406644\pi\) | |||||||
\(720\) | −0.292736 | + | 4.16232i | −0.0109096 | + | 0.155120i | ||||
\(721\) | −11.9002 | − | 13.8749i | −0.443187 | − | 0.516729i | ||||
\(722\) | 4.55499 | + | 14.0188i | 0.169519 | + | 0.521727i | ||||
\(723\) | 12.0254 | + | 1.69252i | 0.447229 | + | 0.0629454i | ||||
\(724\) | 16.3634 | − | 7.28544i | 0.608140 | − | 0.270761i | ||||
\(725\) | 0.156137 | − | 0.270437i | 0.00579878 | − | 0.0100438i | ||||
\(726\) | 18.8239 | − | 2.94314i | 0.698619 | − | 0.109230i | ||||
\(727\) | 10.8539 | 0.402550 | 0.201275 | − | 0.979535i | \(-0.435492\pi\) | ||||
0.201275 | + | 0.979535i | \(0.435492\pi\) | |||||||
\(728\) | −0.0836492 | + | 0.0456430i | −0.00310025 | + | 0.00169164i | ||||
\(729\) | −18.0424 | − | 20.0866i | −0.668236 | − | 0.743950i | ||||
\(730\) | −7.51220 | + | 8.34314i | −0.278039 | + | 0.308794i | ||||
\(731\) | −1.74542 | + | 0.183451i | −0.0645567 | + | 0.00678518i | ||||
\(732\) | −3.08698 | + | 12.3706i | −0.114098 | + | 0.457231i | ||||
\(733\) | 21.1651 | + | 19.0571i | 0.781751 | + | 0.703891i | 0.959971 | − | 0.280099i | \(-0.0903674\pi\) |
−0.178220 | + | 0.983991i | \(0.557034\pi\) | |||||||
\(734\) | −1.18802 | + | 3.65635i | −0.0438506 | + | 0.134958i | ||||
\(735\) | −4.86660 | + | 16.1459i | −0.179507 | + | 0.595549i | ||||
\(736\) | 7.06781i | 0.260523i | ||||||||
\(737\) | −29.7654 | + | 6.02820i | −1.09642 | + | 0.222052i | ||||
\(738\) | −2.97749 | + | 1.08237i | −0.109603 | + | 0.0398425i | ||||
\(739\) | −8.67634 | − | 19.4874i | −0.319164 | − | 0.716855i | 0.680713 | − | 0.732551i | \(-0.261670\pi\) |
−0.999877 | + | 0.0156959i | \(0.995004\pi\) | |||||||
\(740\) | −0.825219 | − | 3.88235i | −0.0303357 | − | 0.142718i | ||||
\(741\) | 0.128674 | + | 0.00451922i | 0.00472694 | + | 0.000166018i | ||||
\(742\) | −6.45694 | − | 34.4393i | −0.237042 | − | 1.26431i | ||||
\(743\) | −7.61960 | + | 5.53596i | −0.279536 | + | 0.203095i | −0.718715 | − | 0.695305i | \(-0.755269\pi\) |
0.439179 | + | 0.898400i | \(0.355269\pi\) | |||||||
\(744\) | 4.93405 | + | 9.28410i | 0.180891 | + | 0.340372i | ||||
\(745\) | −15.6003 | + | 14.0466i | −0.571552 | + | 0.514628i | ||||
\(746\) | 5.94137 | + | 13.3445i | 0.217529 | + | 0.488578i | ||||
\(747\) | −8.70309 | + | 49.2421i | −0.318429 | + | 1.80168i | ||||
\(748\) | 0.730042 | − | 0.519753i | 0.0266930 | − | 0.0190040i | ||||
\(749\) | −1.32931 | − | 16.4537i | −0.0485720 | − | 0.601205i | ||||
\(750\) | 10.8620 | + | 16.1105i | 0.396624 | + | 0.588273i | ||||
\(751\) | −35.6351 | + | 7.57448i | −1.30034 | + | 0.276397i | −0.805506 | − | 0.592588i | \(-0.798106\pi\) |
−0.494839 | + | 0.868985i | \(0.664773\pi\) | |||||||
\(752\) | 0.867439 | − | 4.08098i | 0.0316322 | − | 0.148818i | ||||
\(753\) | −0.727114 | + | 2.91380i | −0.0264975 | + | 0.106185i | ||||
\(754\) | 0.00149229 | − | 0.00335174i | 5.43461e−5 | − | 0.000122063i | ||||
\(755\) | −3.61683 | − | 11.1315i | −0.131630 | − | 0.405115i | ||||
\(756\) | −9.98619 | − | 9.44860i | −0.363194 | − | 0.343642i | ||||
\(757\) | −35.4720 | − | 25.7719i | −1.28925 | − | 0.936695i | −0.289461 | − | 0.957190i | \(-0.593476\pi\) |
−0.999790 | + | 0.0204944i | \(0.993476\pi\) | |||||||
\(758\) | −4.62285 | − | 8.00700i | −0.167909 | − | 0.290827i | ||||
\(759\) | 40.5284 | − | 2.43440i | 1.47109 | − | 0.0883631i | ||||
\(760\) | 1.43531 | − | 2.48603i | 0.0520642 | − | 0.0901779i | ||||
\(761\) | 3.91031 | − | 37.2041i | 0.141748 | − | 1.34865i | −0.660126 | − | 0.751155i | \(-0.729497\pi\) |
0.801875 | − | 0.597492i | \(-0.203836\pi\) | |||||||
\(762\) | −12.8710 | + | 16.4673i | −0.466267 | + | 0.596548i | ||||
\(763\) | −19.3691 | + | 25.3512i | −0.701210 | + | 0.917774i | ||||
\(764\) | −14.9790 | − | 20.6168i | −0.541922 | − | 0.745891i | ||||
\(765\) | 1.01354 | − | 0.493834i | 0.0366447 | − | 0.0178546i | ||||
\(766\) | 4.48396 | − | 21.0954i | 0.162012 | − | 0.762207i | ||||
\(767\) | 0.0808707 | + | 0.0898160i | 0.00292007 | + | 0.00324307i | ||||
\(768\) | −1.55660 | − | 0.759593i | −0.0561691 | − | 0.0274095i | ||||
\(769\) | − | 2.47310i | − | 0.0891823i | −0.999005 | − | 0.0445912i | \(-0.985801\pi\) | ||
0.999005 | − | 0.0445912i | \(-0.0141985\pi\) | |||||||
\(770\) | 12.1741 | − | 0.865786i | 0.438722 | − | 0.0312008i | ||||
\(771\) | −22.6896 | − | 8.26348i | −0.817145 | − | 0.297602i | ||||
\(772\) | 13.1750 | + | 1.38474i | 0.474177 | + | 0.0498380i | ||||
\(773\) | −9.16521 | + | 8.25239i | −0.329650 | + | 0.296818i | −0.817290 | − | 0.576227i | \(-0.804524\pi\) |
0.487640 | + | 0.873045i | \(0.337858\pi\) | |||||||
\(774\) | 15.3598 | − | 11.9905i | 0.552096 | − | 0.430988i | ||||
\(775\) | 16.9992 | + | 7.56853i | 0.610629 | + | 0.271869i | ||||
\(776\) | 14.5867 | − | 10.5979i | 0.523633 | − | 0.380441i | ||||
\(777\) | 11.6109 | + | 6.01661i | 0.416540 | + | 0.215845i | ||||
\(778\) | 5.36468 | + | 1.74309i | 0.192333 | + | 0.0624928i | ||||
\(779\) | 2.16763 | + | 0.227827i | 0.0776635 | + | 0.00816276i | ||||
\(780\) | 0.0557590 | + | 0.0664780i | 0.00199649 | + | 0.00238030i | ||||
\(781\) | −3.16372 | + | 14.2106i | −0.113207 | + | 0.508497i | ||||
\(782\) | 1.65388 | − | 0.954871i | 0.0591428 | − | 0.0341461i | ||||
\(783\) | 0.526385 | + | 0.0556457i | 0.0188115 | + | 0.00198861i | ||||
\(784\) | −5.45827 | − | 4.38262i | −0.194938 | − | 0.156522i | ||||
\(785\) | −14.1586 | + | 4.60042i | −0.505343 | + | 0.164196i | ||||
\(786\) | −25.0399 | + | 25.9191i | −0.893143 | + | 0.924505i | ||||
\(787\) | 39.1589 | − | 4.11577i | 1.39587 | − | 0.146711i | 0.623467 | − | 0.781850i | \(-0.285724\pi\) |
0.772398 | + | 0.635138i | \(0.219057\pi\) | |||||||
\(788\) | −17.4838 | − | 3.71629i | −0.622834 | − | 0.132388i | ||||
\(789\) | −0.634871 | + | 4.51078i | −0.0226020 | + | 0.160588i | ||||
\(790\) | −1.95984 | − | 1.42390i | −0.0697279 | − | 0.0506603i | ||||
\(791\) | −10.8772 | + | 22.9270i | −0.386750 | + | 0.815190i | ||||
\(792\) | −3.81953 | + | 9.18756i | −0.135721 | + | 0.326466i | ||||
\(793\) | 0.132563 | + | 0.229607i | 0.00470746 | + | 0.00815357i | ||||
\(794\) | 16.7497 | − | 7.45742i | 0.594423 | − | 0.264654i | ||||
\(795\) | −29.5838 | + | 11.9457i | −1.04923 | + | 0.423672i | ||||
\(796\) | 10.1343 | − | 11.2553i | 0.359201 | − | 0.398933i | ||||
\(797\) | 20.7402 | + | 28.5464i | 0.734654 | + | 1.01116i | 0.998908 | + | 0.0467117i | \(0.0148742\pi\) |
−0.264254 | + | 0.964453i | \(0.585126\pi\) | |||||||
\(798\) | 3.32888 | + | 8.85285i | 0.117841 | + | 0.313387i | ||||
\(799\) | −1.07215 | + | 0.348363i | −0.0379300 | + | 0.0123242i | ||||
\(800\) | −2.99850 | + | 0.637352i | −0.106013 | + | 0.0225338i | ||||
\(801\) | 4.55868 | − | 15.8740i | 0.161073 | − | 0.560879i | ||||
\(802\) | 14.7172 | + | 8.49696i | 0.519681 | + | 0.300038i | ||||
\(803\) | −23.3122 | + | 13.1620i | −0.822669 | + | 0.464476i | ||||
\(804\) | 5.42744 | − | 14.9025i | 0.191411 | − | 0.525570i | ||||
\(805\) | 26.0012 | + | 0.626849i | 0.916421 | + | 0.0220935i | ||||
\(806\) | 0.207926 | + | 0.0675593i | 0.00732389 | + | 0.00237968i | ||||
\(807\) | −45.9139 | + | 24.4011i | −1.61625 | + | 0.858958i | ||||
\(808\) | 0.196505 | + | 1.86962i | 0.00691303 | + | 0.0657731i | ||||
\(809\) | −1.69295 | − | 16.1074i | −0.0595211 | − | 0.566306i | −0.983122 | − | 0.182950i | \(-0.941435\pi\) |
0.923601 | − | 0.383355i | \(-0.125231\pi\) | |||||||
\(810\) | −6.64194 | + | 10.6104i | −0.233374 | + | 0.372810i | ||||
\(811\) | −31.1332 | − | 10.1158i | −1.09323 | − | 0.355213i | −0.293738 | − | 0.955886i | \(-0.594899\pi\) |
−0.799495 | + | 0.600673i | \(0.794899\pi\) | |||||||
\(812\) | 0.269437 | + | 0.00649573i | 0.00945540 | + | 0.000227955i | ||||
\(813\) | 30.5103 | + | 11.1118i | 1.07004 | + | 0.389707i | ||||
\(814\) | 1.07980 | − | 9.40278i | 0.0378471 | − | 0.329567i | ||||
\(815\) | 7.67858 | + | 4.43323i | 0.268969 | + | 0.155289i | ||||
\(816\) | 0.0325527 | + | 0.466871i | 0.00113957 | + | 0.0163438i | ||||
\(817\) | −13.1127 | + | 2.78719i | −0.458754 | + | 0.0975113i | ||||
\(818\) | 25.2427 | − | 8.20185i | 0.882590 | − | 0.286771i | ||||
\(819\) | −0.285859 | + | 0.00297348i | −0.00998873 | + | 0.000103902i | ||||
\(820\) | 0.863345 | + | 1.18829i | 0.0301493 | + | 0.0414970i | ||||
\(821\) | −23.6920 | + | 26.3126i | −0.826856 | + | 0.918317i | −0.997755 | − | 0.0669718i | \(-0.978666\pi\) |
0.170899 | + | 0.985289i | \(0.445333\pi\) | |||||||
\(822\) | −0.497981 | − | 1.23326i | −0.0173691 | − | 0.0430148i | ||||
\(823\) | −50.6186 | + | 22.5369i | −1.76445 | + | 0.785586i | −0.776641 | + | 0.629943i | \(0.783078\pi\) |
−0.987813 | + | 0.155643i | \(0.950255\pi\) | |||||||
\(824\) | −3.45444 | − | 5.98326i | −0.120341 | − | 0.208437i | ||||
\(825\) | 4.68751 | + | 16.9746i | 0.163198 | + | 0.590979i | ||||
\(826\) | −3.80551 | + | 8.02123i | −0.132411 | + | 0.279094i | ||||
\(827\) | 17.3465 | + | 12.6030i | 0.603197 | + | 0.438248i | 0.847012 | − | 0.531573i | \(-0.178399\pi\) |
−0.243815 | + | 0.969822i | \(0.578399\pi\) | |||||||
\(828\) | −9.96192 | + | 18.7175i | −0.346201 | + | 0.650479i | ||||
\(829\) | 46.0836 | + | 9.79537i | 1.60055 | + | 0.340207i | 0.919824 | − | 0.392331i | \(-0.128331\pi\) |
0.680726 | + | 0.732539i | \(0.261665\pi\) | |||||||
\(830\) | 23.0566 | − | 2.42334i | 0.800305 | − | 0.0841154i | ||||
\(831\) | −26.3932 | − | 25.4979i | −0.915570 | − | 0.884511i | ||||
\(832\) | −0.0342540 | + | 0.0111298i | −0.00118754 | + | 0.000385857i | ||||
\(833\) | −0.288124 | + | 1.86934i | −0.00998289 | + | 0.0647690i | ||||
\(834\) | −18.0690 | − | 26.8001i | −0.625680 | − | 0.928010i | ||||
\(835\) | 2.15576 | − | 1.24463i | 0.0746030 | − | 0.0430721i | ||||
\(836\) | 5.13081 | − | 4.53121i | 0.177453 | − | 0.156715i | ||||
\(837\) | −0.0189833 | + | 31.5413i | −0.000656158 | + | 1.09023i | ||||
\(838\) | −30.0371 | − | 3.15703i | −1.03761 | − | 0.109058i | ||||
\(839\) | −21.9358 | − | 7.12739i | −0.757309 | − | 0.246065i | −0.0951860 | − | 0.995460i | \(-0.530345\pi\) |
−0.662123 | + | 0.749395i | \(0.730345\pi\) | |||||||
\(840\) | −2.93246 | + | 5.65909i | −0.101180 | + | 0.195257i | ||||
\(841\) | 23.4531 | − | 17.0397i | 0.808728 | − | 0.587575i | ||||
\(842\) | −33.6272 | − | 14.9718i | −1.15887 | − | 0.515962i | ||||
\(843\) | −23.8370 | + | 38.1302i | −0.820990 | + | 1.31327i | ||||
\(844\) | 18.7795 | − | 16.9091i | 0.646416 | − | 0.582035i | ||||
\(845\) | −17.9804 | − | 1.88982i | −0.618545 | − | 0.0650117i | ||||
\(846\) | 8.04927 | − | 9.58493i | 0.276739 | − | 0.329537i | ||||
\(847\) | 28.1784 | + | 7.27862i | 0.968221 | + | 0.250096i | ||||
\(848\) | − | 13.2436i | − | 0.454789i | ||||||
\(849\) | 15.2659 | − | 31.2837i | 0.523923 | − | 1.07366i | ||||
\(850\) | 0.554244 | + | 0.615550i | 0.0190104 | + | 0.0211132i | ||||
\(851\) | 4.19343 | − | 19.7285i | 0.143749 | − | 0.676285i | ||||
\(852\) | −5.46805 | − | 5.28256i | −0.187332 | − | 0.180977i | ||||
\(853\) | 19.7681 | + | 27.2084i | 0.676845 | + | 0.931598i | 0.999891 | − | 0.0147858i | \(-0.00470664\pi\) |
−0.323045 | + | 0.946383i | \(0.604707\pi\) | |||||||
\(854\) | −11.8241 | + | 15.4758i | −0.404611 | + | 0.529572i | ||||
\(855\) | 7.30511 | − | 4.56067i | 0.249830 | − | 0.155971i | ||||
\(856\) | 0.652172 | − | 6.20500i | 0.0222908 | − | 0.212083i | ||||
\(857\) | 5.79142 | − | 10.0310i | 0.197831 | − | 0.342654i | −0.749994 | − | 0.661445i | \(-0.769944\pi\) |
0.947825 | + | 0.318791i | \(0.103277\pi\) | |||||||
\(858\) | 0.0756191 | + | 0.192587i | 0.00258159 | + | 0.00657481i | ||||
\(859\) | −4.26912 | − | 7.39433i | −0.145660 | − | 0.252291i | 0.783959 | − | 0.620813i | \(-0.213197\pi\) |
−0.929619 | + | 0.368522i | \(0.879864\pi\) | |||||||
\(860\) | −7.30868 | − | 5.31006i | −0.249224 | − | 0.181072i | ||||
\(861\) | −4.83090 | − | 0.286377i | −0.164637 | − | 0.00975971i | ||||
\(862\) | −3.15297 | − | 9.70385i | −0.107391 | − | 0.330514i | ||||
\(863\) | 14.0666 | − | 31.5941i | 0.478833 | − | 1.07548i | −0.499097 | − | 0.866546i | \(-0.666335\pi\) |
0.977930 | − | 0.208931i | \(-0.0669985\pi\) | |||||||
\(864\) | −3.05169 | − | 4.20561i | −0.103821 | − | 0.143078i | ||||
\(865\) | −1.97321 | + | 9.28320i | −0.0670910 | + | 0.315638i | ||||
\(866\) | 6.96771 | − | 1.48103i | 0.236772 | − | 0.0503275i | ||||
\(867\) | −24.3094 | + | 16.3898i | −0.825589 | + | 0.556626i | ||||
\(868\) | 1.29329 | + | 16.0079i | 0.0438973 | + | 0.543343i | ||||
\(869\) | −3.35030 | − | 4.70582i | −0.113651 | − | 0.159634i | ||||
\(870\) | −0.0425654 | − | 0.241684i | −0.00144310 | − | 0.00819385i | ||||
\(871\) | −0.134141 | − | 0.301286i | −0.00454520 | − | 0.0102087i | ||||
\(872\) | −8.96118 | + | 8.06869i | −0.303464 | + | 0.273240i | ||||
\(873\) | 53.5671 | − | 7.50645i | 1.81297 | − | 0.254055i | ||||
\(874\) | 11.8014 | − | 8.57422i | 0.399188 | − | 0.290027i | ||||
\(875\) | 5.46934 | + | 29.1718i | 0.184898 | + | 0.986187i | ||||
\(876\) | 0.490725 | − | 13.9722i | 0.0165801 | − | 0.472076i | ||||
\(877\) | −4.53793 | − | 21.3493i | −0.153235 | − | 0.720913i | −0.985927 | − | 0.167177i | \(-0.946535\pi\) |
0.832692 | − | 0.553736i | \(-0.186798\pi\) | |||||||
\(878\) | −9.06088 | − | 20.3511i | −0.305790 | − | 0.686815i | ||||
\(879\) | 27.1384 | + | 32.3555i | 0.915357 | + | 1.09132i | ||||
\(880\) | 4.58286 | + | 0.526290i | 0.154488 | + | 0.0177412i | ||||
\(881\) | 5.87061i | 0.197786i | 0.995098 | + | 0.0988929i | \(0.0315301\pi\) | ||||
−0.995098 | + | 0.0988929i | \(0.968470\pi\) | |||||||
\(882\) | −8.27781 | − | 19.2997i | −0.278728 | − | 0.649854i | ||||
\(883\) | −10.4829 | + | 32.2632i | −0.352779 | + | 1.08574i | 0.604507 | + | 0.796600i | \(0.293370\pi\) |
−0.957286 | + | 0.289143i | \(0.906630\pi\) | |||||||
\(884\) | 0.00723217 | + | 0.00651187i | 0.000243244 | + | 0.000219018i | ||||
\(885\) | 7.84338 | + | 1.95725i | 0.263652 | + | 0.0657921i | ||||
\(886\) | 28.3063 | − | 2.97511i | 0.950968 | − | 0.0999508i | ||||
\(887\) | −8.89023 | + | 9.87360i | −0.298505 | + | 0.331523i | −0.873674 | − | 0.486511i | \(-0.838269\pi\) |
0.575170 | + | 0.818034i | \(0.304936\pi\) | |||||||
\(888\) | 3.89430 | + | 3.04382i | 0.130684 | + | 0.102144i | ||||
\(889\) | −28.0256 | + | 15.2921i | −0.939948 | + | 0.512880i | ||||
\(890\) | −7.65699 | −0.256663 | ||||||||
\(891\) | −23.0648 | + | 18.9477i | −0.772701 | + | 0.634770i | ||||
\(892\) | −6.84760 | + | 11.8604i | −0.229275 | + | 0.397115i | ||||
\(893\) | −7.86649 | + | 3.50239i | −0.263242 | + | 0.117203i | ||||
\(894\) | 3.64343 | − | 25.8867i | 0.121855 | − | 0.865780i | ||||
\(895\) | 3.91626 | + | 12.0530i | 0.130906 | + | 0.402887i | ||||
\(896\) | −1.72245 | − | 2.00827i | −0.0575431 | − | 0.0670917i | ||||
\(897\) | 0.121446 | + | 0.423855i | 0.00405498 | + | 0.0141521i | ||||
\(898\) | −7.38461 | − | 6.64913i | −0.246428 | − | 0.221884i | ||||
\(899\) | −0.413756 | − | 0.459522i | −0.0137995 | − | 0.0153259i | ||||
\(900\) | −8.83920 | − | 2.53844i | −0.294640 | − | 0.0846146i | ||||
\(901\) | −3.09905 | + | 1.78923i | −0.103244 | + | 0.0596080i | ||||
\(902\) | 1.05024 | + | 3.34132i | 0.0349692 | + | 0.111254i | ||||
\(903\) | 28.8029 | − | 7.50659i | 0.958499 | − | 0.249804i | ||||
\(904\) | −5.63767 | + | 7.75958i | −0.187506 | + | 0.258080i | ||||
\(905\) | −5.17972 | − | 24.3687i | −0.172180 | − | 0.810042i | ||||
\(906\) | 12.3591 | + | 7.72627i | 0.410604 | + | 0.256688i | ||||
\(907\) | 3.19945 | + | 30.4408i | 0.106236 | + | 1.01077i | 0.909658 | + | 0.415359i | \(0.136344\pi\) |
−0.803422 | + | 0.595410i | \(0.796989\pi\) | |||||||
\(908\) | 10.1631 | + | 4.52490i | 0.337274 | + | 0.150164i | ||||
\(909\) | −2.11479 | + | 5.22825i | −0.0701431 | + | 0.173410i | ||||
\(910\) | 0.0379065 | + | 0.127001i | 0.00125659 | + | 0.00421005i | ||||
\(911\) | −15.2440 | + | 20.9816i | −0.505057 | + | 0.695151i | −0.983076 | − | 0.183198i | \(-0.941355\pi\) |
0.478019 | + | 0.878349i | \(0.341355\pi\) | |||||||
\(912\) | 0.620051 | + | 3.52061i | 0.0205319 | + | 0.116579i | ||||
\(913\) | 53.9618 | + | 12.0135i | 1.78588 | + | 0.397590i | ||||
\(914\) | 12.7958 | + | 7.38766i | 0.423248 | + | 0.244362i | ||||
\(915\) | 15.9372 | + | 7.77705i | 0.526867 | + | 0.257101i | ||||
\(916\) | 8.12469 | − | 25.0052i | 0.268447 | − | 0.826196i | ||||
\(917\) | −50.8159 | + | 21.1724i | −1.67809 | + | 0.699173i | ||||
\(918\) | −0.571836 | + | 1.28229i | −0.0188734 | + | 0.0423218i | ||||
\(919\) | −21.2785 | + | 47.7922i | −0.701911 | + | 1.57652i | 0.110794 | + | 0.993843i | \(0.464661\pi\) |
−0.812705 | + | 0.582675i | \(0.802006\pi\) | |||||||
\(920\) | 9.61556 | + | 2.04385i | 0.317016 | + | 0.0673837i | ||||
\(921\) | 18.1719 | + | 45.0029i | 0.598783 | + | 1.48290i | ||||
\(922\) | −2.08188 | + | 19.8078i | −0.0685630 | + | 0.652334i | ||||
\(923\) | −0.158098 | −0.00520387 | ||||||||
\(924\) | −10.9226 | + | 10.5686i | −0.359328 | + | 0.347683i | ||||
\(925\) | 8.74793 | 0.287630 | ||||||||
\(926\) | −1.22282 | + | 11.6344i | −0.0401844 | + | 0.382329i | ||||
\(927\) | −0.715037 | − | 20.7143i | −0.0234849 | − | 0.680346i | ||||
\(928\) | 0.0996413 | + | 0.0211794i | 0.00327089 | + | 0.000695248i | ||||
\(929\) | −1.60413 | + | 3.60293i | −0.0526298 | + | 0.118208i | −0.937946 | − | 0.346780i | \(-0.887275\pi\) |
0.885317 | + | 0.464989i | \(0.153942\pi\) | |||||||
\(930\) | 14.0576 | − | 4.02789i | 0.460966 | − | 0.132080i | ||||
\(931\) | −0.696204 | + | 14.4306i | −0.0228172 | + | 0.472944i | ||||
\(932\) | 1.23087 | − | 3.78824i | 0.0403186 | − | 0.124088i | ||||
\(933\) | 7.57902 | − | 15.5314i | 0.248126 | − | 0.508474i | ||||
\(934\) | 10.9391 | + | 6.31567i | 0.357937 | + | 0.206655i | ||||
\(935\) | −0.495997 | − | 1.14350i | −0.0162209 | − | 0.0373965i | ||||
\(936\) | −0.106401 | − | 0.0188055i | −0.00347784 | − | 0.000614676i | ||||
\(937\) | 8.32120 | − | 11.4531i | 0.271842 | − | 0.374158i | −0.651169 | − | 0.758933i | \(-0.725721\pi\) |
0.923010 | + | 0.384775i | \(0.125721\pi\) | |||||||
\(938\) | 16.6400 | − | 17.6079i | 0.543315 | − | 0.574920i | ||||
\(939\) | −4.52958 | − | 0.159086i | −0.147817 | − | 0.00519158i | ||||
\(940\) | −5.30121 | − | 2.36025i | −0.172907 | − | 0.0769829i | ||||
\(941\) | −0.321745 | − | 3.06119i | −0.0104886 | − | 0.0997921i | 0.988025 | − | 0.154293i | \(-0.0493099\pi\) |
−0.998514 | + | 0.0545008i | \(0.982643\pi\) | |||||||
\(942\) | 9.82742 | − | 15.7201i | 0.320194 | − | 0.512190i | ||||
\(943\) | 1.55183 | + | 7.30079i | 0.0505345 | + | 0.237746i | ||||
\(944\) | −1.97239 | + | 2.71477i | −0.0641960 | + | 0.0883582i | ||||
\(945\) | −15.7423 | + | 10.8536i | −0.512098 | + | 0.353068i | ||||
\(946\) | −12.4940 | − | 17.5491i | −0.406216 | − | 0.570570i | ||||
\(947\) | −8.41536 | + | 4.85861i | −0.273463 | + | 0.157884i | −0.630460 | − | 0.776222i | \(-0.717134\pi\) |
0.356998 | + | 0.934105i | \(0.383800\pi\) | |||||||
\(948\) | 3.00943 | − | 0.209833i | 0.0977418 | − | 0.00681507i | ||||
\(949\) | −0.194530 | − | 0.216048i | −0.00631472 | − | 0.00701321i | ||||
\(950\) | 4.70181 | + | 4.23352i | 0.152547 | + | 0.137354i | ||||
\(951\) | −1.91914 | + | 0.549889i | −0.0622325 | + | 0.0178314i | ||||
\(952\) | −0.237235 | + | 0.674378i | −0.00768884 | + | 0.0218567i | ||||
\(953\) | 10.9114 | + | 33.5820i | 0.353456 | + | 1.08783i | 0.956899 | + | 0.290421i | \(0.0937952\pi\) |
−0.603443 | + | 0.797406i | \(0.706205\pi\) | |||||||
\(954\) | 18.6666 | − | 35.0728i | 0.604354 | − | 1.13553i | ||||
\(955\) | −32.3802 | + | 14.4166i | −1.04780 | + | 0.466511i | ||||
\(956\) | 8.67368 | − | 15.0232i | 0.280527 | − | 0.485887i | ||||
\(957\) | 0.0871277 | − | 0.578661i | 0.00281644 | − | 0.0187055i | ||||
\(958\) | −21.1972 | −0.684852 | ||||||||
\(959\) | 0.0489649 | − | 2.03102i | 0.00158116 | − | 0.0655852i | ||||
\(960\) | −1.48354 | + | 1.89806i | −0.0478811 | + | 0.0612596i | ||||
\(961\) | 3.91204 | − | 4.34476i | 0.126195 | − | 0.140153i | ||||
\(962\) | 0.102217 | − | 0.0107435i | 0.00329562 | − | 0.000346384i | ||||
\(963\) | 10.4729 | − | 15.5133i | 0.337486 | − | 0.499910i | ||||
\(964\) | 5.21040 | + | 4.69147i | 0.167816 | + | 0.151102i | ||||
\(965\) | 5.69380 | − | 17.5237i | 0.183290 | − | 0.564109i | ||||
\(966\) | −25.3099 | + | 20.2100i | −0.814331 | + | 0.650246i | ||||
\(967\) | 6.69622i | 0.215336i | 0.994187 | + | 0.107668i | \(0.0343383\pi\) | ||||
−0.994187 | + | 0.107668i | \(0.965662\pi\) | |||||||
\(968\) | 9.96108 | + | 4.66657i | 0.320161 | + | 0.149989i | ||||
\(969\) | 0.740063 | − | 0.620733i | 0.0237742 | − | 0.0199408i | ||||
\(970\) | −10.2000 | − | 22.9095i | −0.327501 | − | 0.735579i | ||||
\(971\) | −5.65624 | − | 26.6105i | −0.181517 | − | 0.853972i | −0.970790 | − | 0.239930i | \(-0.922876\pi\) |
0.789273 | − | 0.614043i | \(-0.210458\pi\) | |||||||
\(972\) | −2.15401 | − | 15.4389i | −0.0690899 | − | 0.495204i | ||||
\(973\) | −9.09832 | − | 48.5276i | −0.291679 | − | 1.55572i | ||||
\(974\) | −15.3946 | + | 11.1848i | −0.493275 | + | 0.358385i | ||||
\(975\) | −0.168868 | + | 0.0897453i | −0.00540810 | + | 0.00287415i | ||||
\(976\) | −5.47043 | + | 4.92560i | −0.175104 | + | 0.157665i | ||||
\(977\) | −4.97539 | − | 11.1749i | −0.159177 | − | 0.357517i | 0.816297 | − | 0.577633i | \(-0.196023\pi\) |
−0.975474 | + | 0.220115i | \(0.929357\pi\) | |||||||
\(978\) | −10.8741 | + | 1.91514i | −0.347715 | + | 0.0612396i | ||||
\(979\) | −17.3100 | − | 5.80899i | −0.553229 | − | 0.185656i | ||||
\(980\) | −7.54083 | + | 6.15847i | −0.240883 | + | 0.196725i | ||||
\(981\) | −35.1043 | + | 8.73753i | −1.12080 | + | 0.278968i | ||||
\(982\) | 14.2116 | − | 3.02077i | 0.453510 | − | 0.0963965i | ||||
\(983\) | −1.93169 | + | 9.08789i | −0.0616113 | + | 0.289859i | −0.998157 | − | 0.0606876i | \(-0.980671\pi\) |
0.936545 | + | 0.350546i | \(0.114004\pi\) | |||||||
\(984\) | −1.77469 | − | 0.442859i | −0.0565752 | − | 0.0141178i | ||||
\(985\) | −10.1118 | + | 22.7115i | −0.322190 | + | 0.723650i | ||||
\(986\) | −0.00850564 | − | 0.0261777i | −0.000270875 | − | 0.000833667i | ||||
\(987\) | 17.0944 | − | 8.56302i | 0.544121 | − | 0.272564i | ||||
\(988\) | 0.0601387 | + | 0.0436933i | 0.00191327 | + | 0.00139007i | ||||
\(989\) | −22.9536 | − | 39.7568i | −0.729882 | − | 1.26419i | ||||
\(990\) | 11.3949 | + | 7.85320i | 0.362153 | + | 0.249591i | ||||
\(991\) | 7.35419 | − | 12.7378i | 0.233614 | − | 0.404630i | −0.725255 | − | 0.688480i | \(-0.758278\pi\) |
0.958869 | + | 0.283850i | \(0.0916116\pi\) | |||||||
\(992\) | −0.634501 | + | 6.03687i | −0.0201454 | + | 0.191671i | ||||
\(993\) | −40.8621 | − | 31.9382i | −1.29672 | − | 1.01353i | ||||
\(994\) | −4.46664 | − | 10.7204i | −0.141673 | − | 0.340031i | ||||
\(995\) | −12.3819 | − | 17.0422i | −0.392533 | − | 0.540275i | ||||
\(996\) | −20.0594 | + | 20.7637i | −0.635605 | + | 0.657924i | ||||
\(997\) | −12.6884 | + | 59.6945i | −0.401847 | + | 1.89054i | 0.0505426 | + | 0.998722i | \(0.483905\pi\) |
−0.452390 | + | 0.891820i | \(0.649428\pi\) | |||||||
\(998\) | −15.3267 | − | 17.0220i | −0.485157 | − | 0.538821i | ||||
\(999\) | 6.02300 | + | 13.5498i | 0.190559 | + | 0.428697i |
(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 | 462.2.bc.b.95.3 | yes | 128 | |
3.2 | odd | 2 | 462.2.bc.a.95.11 | ✓ | 128 | ||
7.2 | even | 3 | inner | 462.2.bc.b.359.9 | yes | 128 | |
11.8 | odd | 10 | 462.2.bc.a.305.11 | yes | 128 | ||
21.2 | odd | 6 | 462.2.bc.a.359.11 | yes | 128 | ||
33.8 | even | 10 | inner | 462.2.bc.b.305.9 | yes | 128 | |
77.30 | odd | 30 | 462.2.bc.a.107.11 | yes | 128 | ||
231.107 | even | 30 | inner | 462.2.bc.b.107.3 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.bc.a.95.11 | ✓ | 128 | 3.2 | odd | 2 | ||
462.2.bc.a.107.11 | yes | 128 | 77.30 | odd | 30 | ||
462.2.bc.a.305.11 | yes | 128 | 11.8 | odd | 10 | ||
462.2.bc.a.359.11 | yes | 128 | 21.2 | odd | 6 | ||
462.2.bc.b.95.3 | yes | 128 | 1.1 | even | 1 | trivial | |
462.2.bc.b.107.3 | yes | 128 | 231.107 | even | 30 | inner | |
462.2.bc.b.305.9 | yes | 128 | 33.8 | even | 10 | inner | |
462.2.bc.b.359.9 | yes | 128 | 7.2 | even | 3 | inner |