Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(145,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.145");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.cg (of order \(12\), degree \(4\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 145.10 | ||
Character | \(\chi\) | \(=\) | 546.145 |
Dual form | 546.2.cg.b.241.10 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 2.65393 | − | 0.711118i | 1.18687 | − | 0.318022i | 0.389224 | − | 0.921143i | \(-0.372743\pi\) |
0.797650 | + | 0.603121i | \(0.206077\pi\) | |||||||
\(6\) | −0.965926 | + | 0.258819i | −0.394338 | + | 0.105662i | ||||
\(7\) | 1.40673 | − | 2.24078i | 0.531694 | − | 0.846937i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 1.37378 | − | 2.37945i | 0.434426 | − | 0.752448i | ||||
\(11\) | 2.14199 | − | 0.573943i | 0.645833 | − | 0.173050i | 0.0789889 | − | 0.996875i | \(-0.474831\pi\) |
0.566844 | + | 0.823825i | \(0.308164\pi\) | |||||||
\(12\) | −0.500000 | + | 0.866025i | −0.144338 | + | 0.250000i | ||||
\(13\) | −0.354780 | + | 3.58805i | −0.0983982 | + | 0.995147i | ||||
\(14\) | −0.589766 | − | 2.57918i | −0.157621 | − | 0.689315i | ||||
\(15\) | −2.65393 | − | 0.711118i | −0.685242 | − | 0.183610i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −1.67627 | −0.406555 | −0.203277 | − | 0.979121i | \(-0.565159\pi\) | ||||
−0.203277 | + | 0.979121i | \(0.565159\pi\) | |||||||
\(18\) | 0.965926 | + | 0.258819i | 0.227671 | + | 0.0610042i | ||||
\(19\) | −0.0474662 | + | 0.177146i | −0.0108895 | + | 0.0406401i | −0.971157 | − | 0.238442i | \(-0.923363\pi\) |
0.960267 | + | 0.279082i | \(0.0900301\pi\) | |||||||
\(20\) | −0.711118 | − | 2.65393i | −0.159011 | − | 0.593437i | ||||
\(21\) | −2.33866 | + | 1.23721i | −0.510336 | + | 0.269982i | ||||
\(22\) | 1.10877 | − | 1.92045i | 0.236391 | − | 0.409442i | ||||
\(23\) | − | 0.546143i | − | 0.113879i | −0.998378 | − | 0.0569393i | \(-0.981866\pi\) | ||
0.998378 | − | 0.0569393i | \(-0.0181342\pi\) | |||||||
\(24\) | 0.258819 | + | 0.965926i | 0.0528312 | + | 0.197169i | ||||
\(25\) | 2.20753 | − | 1.27452i | 0.441506 | − | 0.254903i | ||||
\(26\) | 2.28627 | + | 2.78800i | 0.448374 | + | 0.546773i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −2.24078 | − | 1.40673i | −0.423468 | − | 0.265847i | ||||
\(29\) | −2.18139 | − | 3.77828i | −0.405074 | − | 0.701609i | 0.589256 | − | 0.807946i | \(-0.299421\pi\) |
−0.994330 | + | 0.106337i | \(0.966088\pi\) | |||||||
\(30\) | −2.37945 | + | 1.37378i | −0.434426 | + | 0.250816i | ||||
\(31\) | 2.02462 | − | 7.55600i | 0.363633 | − | 1.35710i | −0.505631 | − | 0.862750i | \(-0.668740\pi\) |
0.869264 | − | 0.494347i | \(-0.164593\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −2.14199 | − | 0.573943i | −0.372872 | − | 0.0999107i | ||||
\(34\) | −1.18530 | + | 1.18530i | −0.203277 | + | 0.203277i | ||||
\(35\) | 2.13990 | − | 6.94723i | 0.361709 | − | 1.17430i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | 0.909963 | + | 0.909963i | 0.149597 | + | 0.149597i | 0.777938 | − | 0.628341i | \(-0.216266\pi\) |
−0.628341 | + | 0.777938i | \(0.716266\pi\) | |||||||
\(38\) | 0.0916976 | + | 0.158825i | 0.0148753 | + | 0.0257648i | ||||
\(39\) | 2.10128 | − | 2.92996i | 0.336473 | − | 0.469168i | ||||
\(40\) | −2.37945 | − | 1.37378i | −0.376224 | − | 0.217213i | ||||
\(41\) | −1.32782 | + | 4.95550i | −0.207371 | + | 0.773919i | 0.781343 | + | 0.624102i | \(0.214535\pi\) |
−0.988714 | + | 0.149817i | \(0.952132\pi\) | |||||||
\(42\) | −0.778839 | + | 2.52852i | −0.120177 | + | 0.390159i | ||||
\(43\) | −2.86766 | − | 1.65565i | −0.437315 | − | 0.252484i | 0.265143 | − | 0.964209i | \(-0.414581\pi\) |
−0.702458 | + | 0.711725i | \(0.747914\pi\) | |||||||
\(44\) | −0.573943 | − | 2.14199i | −0.0865252 | − | 0.322917i | ||||
\(45\) | 1.94281 | + | 1.94281i | 0.289617 | + | 0.289617i | ||||
\(46\) | −0.386181 | − | 0.386181i | −0.0569393 | − | 0.0569393i | ||||
\(47\) | 2.61197 | + | 9.74801i | 0.380995 | + | 1.42189i | 0.844384 | + | 0.535738i | \(0.179967\pi\) |
−0.463389 | + | 0.886155i | \(0.653367\pi\) | |||||||
\(48\) | 0.866025 | + | 0.500000i | 0.125000 | + | 0.0721688i | ||||
\(49\) | −3.04223 | − | 6.30435i | −0.434604 | − | 0.900622i | ||||
\(50\) | 0.659739 | − | 2.46218i | 0.0933011 | − | 0.348205i | ||||
\(51\) | 1.45169 | + | 0.838134i | 0.203277 | + | 0.117362i | ||||
\(52\) | 3.58805 | + | 0.354780i | 0.497574 | + | 0.0491991i | ||||
\(53\) | 1.78093 | + | 3.08467i | 0.244630 | + | 0.423712i | 0.962028 | − | 0.272952i | \(-0.0880002\pi\) |
−0.717397 | + | 0.696664i | \(0.754667\pi\) | |||||||
\(54\) | −0.707107 | − | 0.707107i | −0.0962250 | − | 0.0962250i | ||||
\(55\) | 5.27654 | − | 3.04641i | 0.711488 | − | 0.410778i | ||||
\(56\) | −2.57918 | + | 0.589766i | −0.344658 | + | 0.0788107i | ||||
\(57\) | 0.129680 | − | 0.129680i | 0.0171765 | − | 0.0171765i | ||||
\(58\) | −4.21412 | − | 1.12917i | −0.553342 | − | 0.148267i | ||||
\(59\) | −1.05173 | + | 1.05173i | −0.136923 | + | 0.136923i | −0.772246 | − | 0.635323i | \(-0.780867\pi\) |
0.635323 | + | 0.772246i | \(0.280867\pi\) | |||||||
\(60\) | −0.711118 | + | 2.65393i | −0.0918050 | + | 0.342621i | ||||
\(61\) | −11.8307 | + | 6.83046i | −1.51477 | + | 0.874551i | −0.514917 | + | 0.857240i | \(0.672177\pi\) |
−0.999850 | + | 0.0173106i | \(0.994490\pi\) | |||||||
\(62\) | −3.91127 | − | 6.77452i | −0.496732 | − | 0.860365i | ||||
\(63\) | 2.64394 | + | 0.0978714i | 0.333105 | + | 0.0123306i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 1.60997 | + | 9.77473i | 0.199692 | + | 1.21241i | ||||
\(66\) | −1.92045 | + | 1.10877i | −0.236391 | + | 0.136481i | ||||
\(67\) | −1.82429 | − | 6.80833i | −0.222872 | − | 0.831770i | −0.983246 | − | 0.182284i | \(-0.941651\pi\) |
0.760374 | − | 0.649486i | \(-0.225016\pi\) | |||||||
\(68\) | 1.67627i | 0.203277i | ||||||||
\(69\) | −0.273071 | + | 0.472973i | −0.0328739 | + | 0.0569393i | ||||
\(70\) | −3.39930 | − | 6.42557i | −0.406294 | − | 0.768003i | ||||
\(71\) | 1.04867 | + | 3.91368i | 0.124454 | + | 0.464469i | 0.999820 | − | 0.0189927i | \(-0.00604594\pi\) |
−0.875366 | + | 0.483462i | \(0.839379\pi\) | |||||||
\(72\) | 0.258819 | − | 0.965926i | 0.0305021 | − | 0.113835i | ||||
\(73\) | 8.57385 | + | 2.29736i | 1.00349 | + | 0.268885i | 0.722908 | − | 0.690944i | \(-0.242805\pi\) |
0.280585 | + | 0.959829i | \(0.409471\pi\) | |||||||
\(74\) | 1.28688 | 0.149597 | ||||||||
\(75\) | −2.54903 | −0.294337 | ||||||||
\(76\) | 0.177146 | + | 0.0474662i | 0.0203201 | + | 0.00544475i | ||||
\(77\) | 1.72711 | − | 5.60711i | 0.196823 | − | 0.638990i | ||||
\(78\) | −0.585966 | − | 3.55762i | −0.0663475 | − | 0.402821i | ||||
\(79\) | 4.42139 | − | 7.65808i | 0.497445 | − | 0.861601i | −0.502550 | − | 0.864548i | \(-0.667605\pi\) |
0.999996 | + | 0.00294723i | \(0.000938134\pi\) | |||||||
\(80\) | −2.65393 | + | 0.711118i | −0.296718 | + | 0.0795055i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 2.56516 | + | 4.44298i | 0.283274 | + | 0.490645i | ||||
\(83\) | 11.3594 | + | 11.3594i | 1.24686 | + | 1.24686i | 0.957100 | + | 0.289759i | \(0.0935751\pi\) |
0.289759 | + | 0.957100i | \(0.406425\pi\) | |||||||
\(84\) | 1.23721 | + | 2.33866i | 0.134991 | + | 0.255168i | ||||
\(85\) | −4.44870 | + | 1.19203i | −0.482529 | + | 0.129293i | ||||
\(86\) | −3.19846 | + | 0.857026i | −0.344899 | + | 0.0924154i | ||||
\(87\) | 4.36278i | 0.467739i | ||||||||
\(88\) | −1.92045 | − | 1.10877i | −0.204721 | − | 0.118196i | ||||
\(89\) | −11.3766 | + | 11.3766i | −1.20592 | + | 1.20592i | −0.233579 | + | 0.972338i | \(0.575044\pi\) |
−0.972338 | + | 0.233579i | \(0.924956\pi\) | |||||||
\(90\) | 2.74755 | 0.289617 | ||||||||
\(91\) | 7.54097 | + | 5.84241i | 0.790509 | + | 0.612451i | ||||
\(92\) | −0.546143 | −0.0569393 | ||||||||
\(93\) | −5.53137 | + | 5.53137i | −0.573577 | + | 0.573577i | ||||
\(94\) | 8.73983 | + | 5.04594i | 0.901444 | + | 0.520449i | ||||
\(95\) | 0.503888i | 0.0516978i | ||||||||
\(96\) | 0.965926 | − | 0.258819i | 0.0985844 | − | 0.0264156i | ||||
\(97\) | 15.6069 | − | 4.18186i | 1.58464 | − | 0.424603i | 0.644282 | − | 0.764788i | \(-0.277156\pi\) |
0.940358 | + | 0.340185i | \(0.110490\pi\) | |||||||
\(98\) | −6.60903 | − | 2.30667i | −0.667613 | − | 0.233009i | ||||
\(99\) | 1.56804 | + | 1.56804i | 0.157594 | + | 0.157594i | ||||
\(100\) | −1.27452 | − | 2.20753i | −0.127452 | − | 0.220753i | ||||
\(101\) | −7.93535 | + | 13.7444i | −0.789597 | + | 1.36762i | 0.136618 | + | 0.990624i | \(0.456377\pi\) |
−0.926214 | + | 0.376997i | \(0.876957\pi\) | |||||||
\(102\) | 1.61915 | − | 0.433850i | 0.160320 | − | 0.0429576i | ||||
\(103\) | −4.73336 | + | 8.19841i | −0.466391 | + | 0.807814i | −0.999263 | − | 0.0383824i | \(-0.987779\pi\) |
0.532872 | + | 0.846196i | \(0.321113\pi\) | |||||||
\(104\) | 2.78800 | − | 2.28627i | 0.273386 | − | 0.224187i | ||||
\(105\) | −5.32682 | + | 4.94653i | −0.519845 | + | 0.482732i | ||||
\(106\) | 3.44050 | + | 0.921879i | 0.334171 | + | 0.0895408i | ||||
\(107\) | 3.20890 | 0.310216 | 0.155108 | − | 0.987897i | \(-0.450427\pi\) | ||||
0.155108 | + | 0.987897i | \(0.450427\pi\) | |||||||
\(108\) | −1.00000 | −0.0962250 | ||||||||
\(109\) | 9.09049 | + | 2.43579i | 0.870711 | + | 0.233306i | 0.666395 | − | 0.745599i | \(-0.267836\pi\) |
0.204316 | + | 0.978905i | \(0.434503\pi\) | |||||||
\(110\) | 1.57694 | − | 5.88521i | 0.150355 | − | 0.561133i | ||||
\(111\) | −0.333069 | − | 1.24303i | −0.0316135 | − | 0.117983i | ||||
\(112\) | −1.40673 | + | 2.24078i | −0.132923 | + | 0.211734i | ||||
\(113\) | 1.81014 | − | 3.13525i | 0.170283 | − | 0.294940i | −0.768235 | − | 0.640167i | \(-0.778865\pi\) |
0.938519 | + | 0.345228i | \(0.112198\pi\) | |||||||
\(114\) | − | 0.183395i | − | 0.0171765i | ||||||
\(115\) | −0.388372 | − | 1.44942i | −0.0362159 | − | 0.135160i | ||||
\(116\) | −3.77828 | + | 2.18139i | −0.350805 | + | 0.202537i | ||||
\(117\) | −3.28474 | + | 1.48678i | −0.303674 | + | 0.137453i | ||||
\(118\) | 1.48737i | 0.136923i | ||||||||
\(119\) | −2.35806 | + | 3.75616i | −0.216163 | + | 0.344326i | ||||
\(120\) | 1.37378 | + | 2.37945i | 0.125408 | + | 0.217213i | ||||
\(121\) | −5.26759 | + | 3.04124i | −0.478872 | + | 0.276477i | ||||
\(122\) | −3.53571 | + | 13.1954i | −0.320108 | + | 1.19466i | ||||
\(123\) | 3.62768 | − | 3.62768i | 0.327097 | − | 0.327097i | ||||
\(124\) | −7.55600 | − | 2.02462i | −0.678548 | − | 0.181817i | ||||
\(125\) | −4.76177 | + | 4.76177i | −0.425905 | + | 0.425905i | ||||
\(126\) | 1.93875 | − | 1.80034i | 0.172718 | − | 0.160387i | ||||
\(127\) | 11.5855 | − | 6.68890i | 1.02805 | − | 0.593544i | 0.111623 | − | 0.993751i | \(-0.464395\pi\) |
0.916425 | + | 0.400207i | \(0.131062\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | 1.65565 | + | 2.86766i | 0.145772 | + | 0.252484i | ||||
\(130\) | 8.05020 | + | 5.77336i | 0.706049 | + | 0.506357i | ||||
\(131\) | 16.7924 | + | 9.69509i | 1.46716 | + | 0.847064i | 0.999324 | − | 0.0367535i | \(-0.0117016\pi\) |
0.467833 | + | 0.883817i | \(0.345035\pi\) | |||||||
\(132\) | −0.573943 | + | 2.14199i | −0.0499554 | + | 0.186436i | ||||
\(133\) | 0.330174 | + | 0.355558i | 0.0286297 | + | 0.0308308i | ||||
\(134\) | −6.10419 | − | 3.52425i | −0.527321 | − | 0.304449i | ||||
\(135\) | −0.711118 | − | 2.65393i | −0.0612033 | − | 0.228414i | ||||
\(136\) | 1.18530 | + | 1.18530i | 0.101639 | + | 0.101639i | ||||
\(137\) | −9.80752 | − | 9.80752i | −0.837913 | − | 0.837913i | 0.150671 | − | 0.988584i | \(-0.451857\pi\) |
−0.988584 | + | 0.150671i | \(0.951857\pi\) | |||||||
\(138\) | 0.141352 | + | 0.527533i | 0.0120327 | + | 0.0449066i | ||||
\(139\) | −13.7082 | − | 7.91444i | −1.16272 | − | 0.671294i | −0.210762 | − | 0.977537i | \(-0.567595\pi\) |
−0.951953 | + | 0.306243i | \(0.900928\pi\) | |||||||
\(140\) | −6.94723 | − | 2.13990i | −0.587149 | − | 0.180854i | ||||
\(141\) | 2.61197 | − | 9.74801i | 0.219968 | − | 0.820930i | ||||
\(142\) | 3.50891 | + | 2.02587i | 0.294461 | + | 0.170007i | ||||
\(143\) | 1.29941 | + | 7.88918i | 0.108662 | + | 0.659727i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −8.47606 | − | 8.47606i | −0.703899 | − | 0.703899i | ||||
\(146\) | 7.68711 | − | 4.43815i | 0.636189 | − | 0.367304i | ||||
\(147\) | −0.517532 | + | 6.98084i | −0.0426853 | + | 0.575770i | ||||
\(148\) | 0.909963 | − | 0.909963i | 0.0747985 | − | 0.0747985i | ||||
\(149\) | 13.8974 | + | 3.72381i | 1.13852 | + | 0.305066i | 0.778357 | − | 0.627822i | \(-0.216054\pi\) |
0.360165 | + | 0.932888i | \(0.382720\pi\) | |||||||
\(150\) | −1.80244 | + | 1.80244i | −0.147169 | + | 0.147169i | ||||
\(151\) | −0.602340 | + | 2.24796i | −0.0490177 | + | 0.182937i | −0.986094 | − | 0.166188i | \(-0.946854\pi\) |
0.937076 | + | 0.349124i | \(0.113521\pi\) | |||||||
\(152\) | 0.158825 | − | 0.0916976i | 0.0128824 | − | 0.00743766i | ||||
\(153\) | −0.838134 | − | 1.45169i | −0.0677591 | − | 0.117362i | ||||
\(154\) | −2.74357 | − | 5.18608i | −0.221083 | − | 0.417906i | ||||
\(155\) | − | 21.4928i | − | 1.72635i | ||||||
\(156\) | −2.92996 | − | 2.10128i | −0.234584 | − | 0.168237i | ||||
\(157\) | 4.62239 | − | 2.66874i | 0.368907 | − | 0.212988i | −0.304074 | − | 0.952648i | \(-0.598347\pi\) |
0.672981 | + | 0.739660i | \(0.265014\pi\) | |||||||
\(158\) | −2.28868 | − | 8.54147i | −0.182078 | − | 0.679523i | ||||
\(159\) | − | 3.56187i | − | 0.282474i | ||||||
\(160\) | −1.37378 | + | 2.37945i | −0.108606 | + | 0.188112i | ||||
\(161\) | −1.22379 | − | 0.768275i | −0.0964480 | − | 0.0605486i | ||||
\(162\) | 0.258819 | + | 0.965926i | 0.0203347 | + | 0.0758903i | ||||
\(163\) | 1.44909 | − | 5.40806i | 0.113501 | − | 0.423592i | −0.885669 | − | 0.464317i | \(-0.846300\pi\) |
0.999170 | + | 0.0407246i | \(0.0129666\pi\) | |||||||
\(164\) | 4.95550 | + | 1.32782i | 0.386960 | + | 0.103686i | ||||
\(165\) | −6.09282 | −0.474326 | ||||||||
\(166\) | 16.0646 | 1.24686 | ||||||||
\(167\) | −6.88324 | − | 1.84436i | −0.532641 | − | 0.142721i | −0.0175335 | − | 0.999846i | \(-0.505581\pi\) |
−0.515108 | + | 0.857126i | \(0.672248\pi\) | |||||||
\(168\) | 2.52852 | + | 0.778839i | 0.195080 | + | 0.0600887i | ||||
\(169\) | −12.7483 | − | 2.54594i | −0.980636 | − | 0.195841i | ||||
\(170\) | −2.30282 | + | 3.98859i | −0.176618 | + | 0.305911i | ||||
\(171\) | −0.177146 | + | 0.0474662i | −0.0135467 | + | 0.00362983i | ||||
\(172\) | −1.65565 | + | 2.86766i | −0.126242 | + | 0.218657i | ||||
\(173\) | 1.42127 | + | 2.46170i | 0.108057 | + | 0.187160i | 0.914983 | − | 0.403492i | \(-0.132204\pi\) |
−0.806926 | + | 0.590652i | \(0.798871\pi\) | |||||||
\(174\) | 3.08495 | + | 3.08495i | 0.233870 | + | 0.233870i | ||||
\(175\) | 0.249478 | − | 6.73949i | 0.0188587 | − | 0.509458i | ||||
\(176\) | −2.14199 | + | 0.573943i | −0.161458 | + | 0.0432626i | ||||
\(177\) | 1.43669 | − | 0.384959i | 0.107988 | − | 0.0289353i | ||||
\(178\) | 16.0889i | 1.20592i | ||||||||
\(179\) | −22.1165 | − | 12.7690i | −1.65307 | − | 0.954399i | −0.975801 | − | 0.218661i | \(-0.929831\pi\) |
−0.677266 | − | 0.735738i | \(-0.736835\pi\) | |||||||
\(180\) | 1.94281 | − | 1.94281i | 0.144809 | − | 0.144809i | ||||
\(181\) | 16.1216 | 1.19831 | 0.599155 | − | 0.800633i | \(-0.295503\pi\) | ||||
0.599155 | + | 0.800633i | \(0.295503\pi\) | |||||||
\(182\) | 9.46348 | − | 1.20107i | 0.701480 | − | 0.0890292i | ||||
\(183\) | 13.6609 | 1.00984 | ||||||||
\(184\) | −0.386181 | + | 0.386181i | −0.0284697 | + | 0.0284697i | ||||
\(185\) | 3.06207 | + | 1.76789i | 0.225128 | + | 0.129978i | ||||
\(186\) | 7.82254i | 0.573577i | ||||||||
\(187\) | −3.59054 | + | 0.962083i | −0.262567 | + | 0.0703545i | ||||
\(188\) | 9.74801 | − | 2.61197i | 0.710947 | − | 0.190498i | ||||
\(189\) | −2.24078 | − | 1.40673i | −0.162993 | − | 0.102325i | ||||
\(190\) | 0.356302 | + | 0.356302i | 0.0258489 | + | 0.0258489i | ||||
\(191\) | −0.816556 | − | 1.41432i | −0.0590839 | − | 0.102336i | 0.834971 | − | 0.550295i | \(-0.185485\pi\) |
−0.894054 | + | 0.447958i | \(0.852151\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | −9.13997 | + | 2.44905i | −0.657910 | + | 0.176286i | −0.572303 | − | 0.820043i | \(-0.693950\pi\) |
−0.0856072 | + | 0.996329i | \(0.527283\pi\) | |||||||
\(194\) | 8.07872 | − | 13.9928i | 0.580019 | − | 1.00462i | ||||
\(195\) | 3.49309 | − | 9.27015i | 0.250146 | − | 0.663849i | ||||
\(196\) | −6.30435 | + | 3.04223i | −0.450311 | + | 0.217302i | ||||
\(197\) | 10.9689 | + | 2.93910i | 0.781500 | + | 0.209402i | 0.627446 | − | 0.778660i | \(-0.284100\pi\) |
0.154054 | + | 0.988062i | \(0.450767\pi\) | |||||||
\(198\) | 2.21755 | 0.157594 | ||||||||
\(199\) | −18.1047 | −1.28340 | −0.641702 | − | 0.766954i | \(-0.721772\pi\) | ||||
−0.641702 | + | 0.766954i | \(0.721772\pi\) | |||||||
\(200\) | −2.46218 | − | 0.659739i | −0.174102 | − | 0.0466506i | ||||
\(201\) | −1.82429 | + | 6.80833i | −0.128675 | + | 0.480223i | ||||
\(202\) | 4.10764 | + | 15.3299i | 0.289012 | + | 1.07861i | ||||
\(203\) | −11.5349 | − | 0.426992i | −0.809594 | − | 0.0299689i | ||||
\(204\) | 0.838134 | − | 1.45169i | 0.0586811 | − | 0.101639i | ||||
\(205\) | 14.0958i | 0.984493i | ||||||||
\(206\) | 2.45017 | + | 9.14414i | 0.170711 | + | 0.637102i | ||||
\(207\) | 0.472973 | − | 0.273071i | 0.0328739 | − | 0.0189798i | ||||
\(208\) | 0.354780 | − | 3.58805i | 0.0245996 | − | 0.248787i | ||||
\(209\) | 0.406688i | 0.0281312i | ||||||||
\(210\) | −0.268907 | + | 7.26436i | −0.0185563 | + | 0.501288i | ||||
\(211\) | 0.00906917 | + | 0.0157083i | 0.000624347 | + | 0.00108140i | 0.866337 | − | 0.499459i | \(-0.166468\pi\) |
−0.865713 | + | 0.500541i | \(0.833135\pi\) | |||||||
\(212\) | 3.08467 | − | 1.78093i | 0.211856 | − | 0.122315i | ||||
\(213\) | 1.04867 | − | 3.91368i | 0.0718536 | − | 0.268161i | ||||
\(214\) | 2.26904 | − | 2.26904i | 0.155108 | − | 0.155108i | ||||
\(215\) | −8.78794 | − | 2.35472i | −0.599332 | − | 0.160591i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | −14.0833 | − | 15.1660i | −0.956034 | − | 1.02953i | ||||
\(218\) | 8.15031 | − | 4.70559i | 0.552009 | − | 0.318702i | ||||
\(219\) | −6.27650 | − | 6.27650i | −0.424126 | − | 0.424126i | ||||
\(220\) | −3.04641 | − | 5.27654i | −0.205389 | − | 0.355744i | ||||
\(221\) | 0.594706 | − | 6.01454i | 0.0400043 | − | 0.404582i | ||||
\(222\) | −1.11447 | − | 0.643441i | −0.0747985 | − | 0.0431849i | ||||
\(223\) | 3.72027 | − | 13.8843i | 0.249128 | − | 0.929758i | −0.722136 | − | 0.691752i | \(-0.756839\pi\) |
0.971264 | − | 0.238007i | \(-0.0764940\pi\) | |||||||
\(224\) | 0.589766 | + | 2.57918i | 0.0394054 | + | 0.172329i | ||||
\(225\) | 2.20753 | + | 1.27452i | 0.147169 | + | 0.0849678i | ||||
\(226\) | −0.936996 | − | 3.49692i | −0.0623281 | − | 0.232612i | ||||
\(227\) | −2.92840 | − | 2.92840i | −0.194365 | − | 0.194365i | 0.603214 | − | 0.797579i | \(-0.293886\pi\) |
−0.797579 | + | 0.603214i | \(0.793886\pi\) | |||||||
\(228\) | −0.129680 | − | 0.129680i | −0.00858827 | − | 0.00858827i | ||||
\(229\) | −2.25923 | − | 8.43158i | −0.149294 | − | 0.557174i | −0.999527 | − | 0.0307665i | \(-0.990205\pi\) |
0.850232 | − | 0.526408i | \(-0.176461\pi\) | |||||||
\(230\) | −1.29952 | − | 0.750277i | −0.0856877 | − | 0.0494718i | ||||
\(231\) | −4.29928 | + | 3.99234i | −0.282872 | + | 0.262677i | ||||
\(232\) | −1.12917 | + | 4.21412i | −0.0741337 | + | 0.276671i | ||||
\(233\) | 5.73199 | + | 3.30937i | 0.375515 | + | 0.216804i | 0.675865 | − | 0.737025i | \(-0.263770\pi\) |
−0.300350 | + | 0.953829i | \(0.597103\pi\) | |||||||
\(234\) | −1.27135 | + | 3.37397i | −0.0831106 | + | 0.220563i | ||||
\(235\) | 13.8640 | + | 24.0131i | 0.904386 | + | 1.56644i | ||||
\(236\) | 1.05173 | + | 1.05173i | 0.0684617 | + | 0.0684617i | ||||
\(237\) | −7.65808 | + | 4.42139i | −0.497445 | + | 0.287200i | ||||
\(238\) | 0.988606 | + | 4.32340i | 0.0640818 | + | 0.280244i | ||||
\(239\) | −4.05600 | + | 4.05600i | −0.262361 | + | 0.262361i | −0.826013 | − | 0.563652i | \(-0.809396\pi\) |
0.563652 | + | 0.826013i | \(0.309396\pi\) | |||||||
\(240\) | 2.65393 | + | 0.711118i | 0.171310 | + | 0.0459025i | ||||
\(241\) | 6.36407 | − | 6.36407i | 0.409946 | − | 0.409946i | −0.471774 | − | 0.881720i | \(-0.656386\pi\) |
0.881720 | + | 0.471774i | \(0.156386\pi\) | |||||||
\(242\) | −1.57426 | + | 5.87523i | −0.101197 | + | 0.377674i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 6.83046 | + | 11.8307i | 0.437275 | + | 0.757383i | ||||
\(245\) | −12.5570 | − | 14.5679i | −0.802237 | − | 0.930711i | ||||
\(246\) | − | 5.13031i | − | 0.327097i | ||||||
\(247\) | −0.618770 | − | 0.233159i | −0.0393714 | − | 0.0148356i | ||||
\(248\) | −6.77452 | + | 3.91127i | −0.430183 | + | 0.248366i | ||||
\(249\) | −4.15784 | − | 15.5173i | −0.263492 | − | 0.983366i | ||||
\(250\) | 6.73415i | 0.425905i | ||||||||
\(251\) | −7.77241 | + | 13.4622i | −0.490590 | + | 0.849727i | −0.999941 | − | 0.0108317i | \(-0.996552\pi\) |
0.509351 | + | 0.860559i | \(0.329885\pi\) | |||||||
\(252\) | 0.0978714 | − | 2.64394i | 0.00616532 | − | 0.166553i | ||||
\(253\) | −0.313455 | − | 1.16983i | −0.0197067 | − | 0.0735466i | ||||
\(254\) | 3.46243 | − | 12.9220i | 0.217252 | − | 0.810796i | ||||
\(255\) | 4.44870 | + | 1.19203i | 0.278588 | + | 0.0746475i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 7.17059 | 0.447289 | 0.223645 | − | 0.974671i | \(-0.428204\pi\) | ||||
0.223645 | + | 0.974671i | \(0.428204\pi\) | |||||||
\(258\) | 3.19846 | + | 0.857026i | 0.199128 | + | 0.0533561i | ||||
\(259\) | 3.31910 | − | 0.758958i | 0.206239 | − | 0.0471594i | ||||
\(260\) | 9.77473 | − | 1.60997i | 0.606203 | − | 0.0998461i | ||||
\(261\) | 2.18139 | − | 3.77828i | 0.135025 | − | 0.233870i | ||||
\(262\) | 18.7295 | − | 5.01855i | 1.15711 | − | 0.310047i | ||||
\(263\) | −3.61004 | + | 6.25278i | −0.222605 | + | 0.385563i | −0.955598 | − | 0.294673i | \(-0.904789\pi\) |
0.732993 | + | 0.680236i | \(0.238123\pi\) | |||||||
\(264\) | 1.10877 | + | 1.92045i | 0.0682403 | + | 0.118196i | ||||
\(265\) | 6.92004 | + | 6.92004i | 0.425094 | + | 0.425094i | ||||
\(266\) | 0.484886 | + | 0.0179492i | 0.0297303 | + | 0.00110053i | ||||
\(267\) | 15.5407 | − | 4.16412i | 0.951077 | − | 0.254840i | ||||
\(268\) | −6.80833 | + | 1.82429i | −0.415885 | + | 0.111436i | ||||
\(269\) | − | 2.01410i | − | 0.122802i | −0.998113 | − | 0.0614010i | \(-0.980443\pi\) | ||
0.998113 | − | 0.0614010i | \(-0.0195568\pi\) | |||||||
\(270\) | −2.37945 | − | 1.37378i | −0.144809 | − | 0.0836053i | ||||
\(271\) | −16.1973 | + | 16.1973i | −0.983917 | + | 0.983917i | −0.999873 | − | 0.0159559i | \(-0.994921\pi\) |
0.0159559 | + | 0.999873i | \(0.494921\pi\) | |||||||
\(272\) | 1.67627 | 0.101639 | ||||||||
\(273\) | −3.60947 | − | 8.83016i | −0.218455 | − | 0.534426i | ||||
\(274\) | −13.8699 | −0.837913 | ||||||||
\(275\) | 3.99699 | − | 3.99699i | 0.241028 | − | 0.241028i | ||||
\(276\) | 0.472973 | + | 0.273071i | 0.0284697 | + | 0.0164370i | ||||
\(277\) | 25.5542i | 1.53540i | 0.640808 | + | 0.767702i | \(0.278600\pi\) | ||||
−0.640808 | + | 0.767702i | \(0.721400\pi\) | |||||||
\(278\) | −15.2895 | + | 4.09682i | −0.917005 | + | 0.245711i | ||||
\(279\) | 7.55600 | − | 2.02462i | 0.452366 | − | 0.121211i | ||||
\(280\) | −6.42557 | + | 3.39930i | −0.384001 | + | 0.203147i | ||||
\(281\) | −10.1284 | − | 10.1284i | −0.604210 | − | 0.604210i | 0.337217 | − | 0.941427i | \(-0.390514\pi\) |
−0.941427 | + | 0.337217i | \(0.890514\pi\) | |||||||
\(282\) | −5.04594 | − | 8.73983i | −0.300481 | − | 0.520449i | ||||
\(283\) | 15.2040 | − | 26.3342i | 0.903786 | − | 1.56540i | 0.0812472 | − | 0.996694i | \(-0.474110\pi\) |
0.822539 | − | 0.568709i | \(-0.192557\pi\) | |||||||
\(284\) | 3.91368 | − | 1.04867i | 0.232234 | − | 0.0622270i | ||||
\(285\) | 0.251944 | − | 0.436380i | 0.0149239 | − | 0.0258489i | ||||
\(286\) | 6.49731 | + | 4.65968i | 0.384194 | + | 0.275532i | ||||
\(287\) | 9.23632 | + | 9.94641i | 0.545203 | + | 0.587118i | ||||
\(288\) | −0.965926 | − | 0.258819i | −0.0569177 | − | 0.0152511i | ||||
\(289\) | −14.1901 | −0.834713 | ||||||||
\(290\) | −11.9870 | −0.703899 | ||||||||
\(291\) | −15.6069 | − | 4.18186i | −0.914892 | − | 0.245145i | ||||
\(292\) | 2.29736 | − | 8.57385i | 0.134443 | − | 0.501747i | ||||
\(293\) | −1.88727 | − | 7.04340i | −0.110256 | − | 0.411480i | 0.888633 | − | 0.458620i | \(-0.151656\pi\) |
−0.998888 | + | 0.0471399i | \(0.984989\pi\) | |||||||
\(294\) | 4.57025 | + | 5.30215i | 0.266542 | + | 0.309228i | ||||
\(295\) | −2.04331 | + | 3.53912i | −0.118966 | + | 0.206055i | ||||
\(296\) | − | 1.28688i | − | 0.0747985i | ||||||
\(297\) | −0.573943 | − | 2.14199i | −0.0333036 | − | 0.124291i | ||||
\(298\) | 12.4601 | − | 7.19384i | 0.721794 | − | 0.416728i | ||||
\(299\) | 1.95959 | + | 0.193760i | 0.113326 | + | 0.0112055i | ||||
\(300\) | 2.54903i | 0.147169i | ||||||||
\(301\) | −7.74397 | + | 4.09677i | −0.446355 | + | 0.236134i | ||||
\(302\) | 1.16363 | + | 2.01547i | 0.0669594 | + | 0.115977i | ||||
\(303\) | 13.7444 | − | 7.93535i | 0.789597 | − | 0.455874i | ||||
\(304\) | 0.0474662 | − | 0.177146i | 0.00272237 | − | 0.0101600i | ||||
\(305\) | −26.5406 | + | 26.5406i | −1.51971 | + | 1.51971i | ||||
\(306\) | −1.61915 | − | 0.433850i | −0.0925607 | − | 0.0248016i | ||||
\(307\) | 1.04129 | − | 1.04129i | 0.0594295 | − | 0.0594295i | −0.676767 | − | 0.736197i | \(-0.736620\pi\) |
0.736197 | + | 0.676767i | \(0.236620\pi\) | |||||||
\(308\) | −5.60711 | − | 1.72711i | −0.319495 | − | 0.0984113i | ||||
\(309\) | 8.19841 | − | 4.73336i | 0.466391 | − | 0.269271i | ||||
\(310\) | −15.1977 | − | 15.1977i | −0.863173 | − | 0.863173i | ||||
\(311\) | −10.3053 | − | 17.8493i | −0.584360 | − | 1.01214i | −0.994955 | − | 0.100324i | \(-0.968012\pi\) |
0.410594 | − | 0.911818i | \(-0.365321\pi\) | |||||||
\(312\) | −3.55762 | + | 0.585966i | −0.201410 | + | 0.0331738i | ||||
\(313\) | −8.86536 | − | 5.11842i | −0.501100 | − | 0.289310i | 0.228068 | − | 0.973645i | \(-0.426759\pi\) |
−0.729168 | + | 0.684335i | \(0.760093\pi\) | |||||||
\(314\) | 1.38144 | − | 5.15561i | 0.0779592 | − | 0.290948i | ||||
\(315\) | 7.08643 | − | 1.62041i | 0.399275 | − | 0.0912998i | ||||
\(316\) | −7.65808 | − | 4.42139i | −0.430800 | − | 0.248723i | ||||
\(317\) | 0.0964049 | + | 0.359788i | 0.00541464 | + | 0.0202077i | 0.968580 | − | 0.248701i | \(-0.0800037\pi\) |
−0.963166 | + | 0.268909i | \(0.913337\pi\) | |||||||
\(318\) | −2.51862 | − | 2.51862i | −0.141237 | − | 0.141237i | ||||
\(319\) | −6.84103 | − | 6.84103i | −0.383024 | − | 0.383024i | ||||
\(320\) | 0.711118 | + | 2.65393i | 0.0397527 | + | 0.148359i | ||||
\(321\) | −2.77899 | − | 1.60445i | −0.155108 | − | 0.0895517i | ||||
\(322\) | −1.40860 | + | 0.322096i | −0.0784983 | + | 0.0179497i | ||||
\(323\) | 0.0795661 | − | 0.296945i | 0.00442718 | − | 0.0165224i | ||||
\(324\) | 0.866025 | + | 0.500000i | 0.0481125 | + | 0.0277778i | ||||
\(325\) | 3.78985 | + | 8.37290i | 0.210223 | + | 0.464445i | ||||
\(326\) | −2.79942 | − | 4.84873i | −0.155045 | − | 0.268547i | ||||
\(327\) | −6.65470 | − | 6.65470i | −0.368006 | − | 0.368006i | ||||
\(328\) | 4.44298 | − | 2.56516i | 0.245323 | − | 0.141637i | ||||
\(329\) | 25.5175 | + | 7.85995i | 1.40683 | + | 0.433333i | ||||
\(330\) | −4.30828 | + | 4.30828i | −0.237163 | + | 0.237163i | ||||
\(331\) | 12.8651 | + | 3.44719i | 0.707129 | + | 0.189475i | 0.594422 | − | 0.804154i | \(-0.297381\pi\) |
0.112707 | + | 0.993628i | \(0.464048\pi\) | |||||||
\(332\) | 11.3594 | − | 11.3594i | 0.623429 | − | 0.623429i | ||||
\(333\) | −0.333069 | + | 1.24303i | −0.0182521 | + | 0.0681177i | ||||
\(334\) | −6.17134 | + | 3.56303i | −0.337681 | + | 0.194960i | ||||
\(335\) | −9.68306 | − | 16.7716i | −0.529042 | − | 0.916328i | ||||
\(336\) | 2.33866 | − | 1.23721i | 0.127584 | − | 0.0674954i | ||||
\(337\) | − | 22.8350i | − | 1.24390i | −0.783057 | − | 0.621950i | \(-0.786341\pi\) | ||
0.783057 | − | 0.621950i | \(-0.213659\pi\) | |||||||
\(338\) | −10.8146 | + | 7.21413i | −0.588239 | + | 0.392397i | ||||
\(339\) | −3.13525 | + | 1.81014i | −0.170283 | + | 0.0983132i | ||||
\(340\) | 1.19203 | + | 4.44870i | 0.0646467 | + | 0.241265i | ||||
\(341\) | − | 17.3469i | − | 0.939385i | ||||||
\(342\) | −0.0916976 | + | 0.158825i | −0.00495844 | + | 0.00858827i | ||||
\(343\) | −18.4063 | − | 2.05155i | −0.993846 | − | 0.110773i | ||||
\(344\) | 0.857026 | + | 3.19846i | 0.0462077 | + | 0.172450i | ||||
\(345\) | −0.388372 | + | 1.44942i | −0.0209093 | + | 0.0780344i | ||||
\(346\) | 2.74567 | + | 0.735701i | 0.147608 | + | 0.0395515i | ||||
\(347\) | 14.8824 | 0.798927 | 0.399463 | − | 0.916749i | \(-0.369196\pi\) | ||||
0.399463 | + | 0.916749i | \(0.369196\pi\) | |||||||
\(348\) | 4.36278 | 0.233870 | ||||||||
\(349\) | −9.60502 | − | 2.57366i | −0.514145 | − | 0.137765i | −0.00758807 | − | 0.999971i | \(-0.502415\pi\) |
−0.506557 | + | 0.862206i | \(0.669082\pi\) | |||||||
\(350\) | −4.58913 | − | 4.94195i | −0.245300 | − | 0.264158i | ||||
\(351\) | 3.58805 | + | 0.354780i | 0.191516 | + | 0.0189367i | ||||
\(352\) | −1.10877 | + | 1.92045i | −0.0590978 | + | 0.102360i | ||||
\(353\) | 20.9560 | − | 5.61514i | 1.11538 | − | 0.298864i | 0.346365 | − | 0.938100i | \(-0.387416\pi\) |
0.769011 | + | 0.639236i | \(0.220749\pi\) | |||||||
\(354\) | 0.743684 | − | 1.28810i | 0.0395264 | − | 0.0684617i | ||||
\(355\) | 5.56619 | + | 9.64092i | 0.295422 | + | 0.511687i | ||||
\(356\) | 11.3766 | + | 11.3766i | 0.602958 | + | 0.602958i | ||||
\(357\) | 3.92021 | − | 2.07390i | 0.207480 | − | 0.109762i | ||||
\(358\) | −24.6678 | + | 6.60971i | −1.30373 | + | 0.349334i | ||||
\(359\) | −25.3972 | + | 6.80517i | −1.34042 | + | 0.359163i | −0.856588 | − | 0.516000i | \(-0.827420\pi\) |
−0.483827 | + | 0.875164i | \(0.660754\pi\) | |||||||
\(360\) | − | 2.74755i | − | 0.144809i | ||||||
\(361\) | 16.4254 | + | 9.48318i | 0.864492 | + | 0.499115i | ||||
\(362\) | 11.3997 | − | 11.3997i | 0.599155 | − | 0.599155i | ||||
\(363\) | 6.08249 | 0.319248 | ||||||||
\(364\) | 5.84241 | − | 7.54097i | 0.306225 | − | 0.395254i | ||||
\(365\) | 24.3881 | 1.27653 | ||||||||
\(366\) | 9.65973 | − | 9.65973i | 0.504922 | − | 0.504922i | ||||
\(367\) | −7.79817 | − | 4.50227i | −0.407061 | − | 0.235017i | 0.282465 | − | 0.959278i | \(-0.408848\pi\) |
−0.689526 | + | 0.724261i | \(0.742181\pi\) | |||||||
\(368\) | 0.546143i | 0.0284697i | ||||||||
\(369\) | −4.95550 | + | 1.32782i | −0.257973 | + | 0.0691237i | ||||
\(370\) | 3.41529 | − | 0.915125i | 0.177553 | − | 0.0475751i | ||||
\(371\) | 9.41736 | + | 0.348605i | 0.488925 | + | 0.0180987i | ||||
\(372\) | 5.53137 | + | 5.53137i | 0.286788 | + | 0.286788i | ||||
\(373\) | 13.3657 | + | 23.1501i | 0.692049 | + | 1.19866i | 0.971165 | + | 0.238407i | \(0.0766253\pi\) |
−0.279116 | + | 0.960257i | \(0.590041\pi\) | |||||||
\(374\) | −1.85860 | + | 3.21919i | −0.0961060 | + | 0.166461i | ||||
\(375\) | 6.50469 | − | 1.74293i | 0.335901 | − | 0.0900044i | ||||
\(376\) | 5.04594 | − | 8.73983i | 0.260225 | − | 0.450722i | ||||
\(377\) | 14.3306 | − | 6.48649i | 0.738063 | − | 0.334071i | ||||
\(378\) | −2.57918 | + | 0.589766i | −0.132659 | + | 0.0303343i | ||||
\(379\) | −10.5843 | − | 2.83605i | −0.543678 | − | 0.145678i | −0.0234808 | − | 0.999724i | \(-0.507475\pi\) |
−0.520197 | + | 0.854046i | \(0.674142\pi\) | |||||||
\(380\) | 0.503888 | 0.0258489 | ||||||||
\(381\) | −13.3778 | −0.685365 | ||||||||
\(382\) | −1.57746 | − | 0.422680i | −0.0807101 | − | 0.0216262i | ||||
\(383\) | 6.03951 | − | 22.5398i | 0.308604 | − | 1.15173i | −0.621193 | − | 0.783657i | \(-0.713352\pi\) |
0.929798 | − | 0.368070i | \(-0.119981\pi\) | |||||||
\(384\) | −0.258819 | − | 0.965926i | −0.0132078 | − | 0.0492922i | ||||
\(385\) | 0.596313 | − | 16.1091i | 0.0303909 | − | 0.820994i | ||||
\(386\) | −4.73120 | + | 8.19468i | −0.240812 | + | 0.417098i | ||||
\(387\) | − | 3.31129i | − | 0.168322i | ||||||
\(388\) | −4.18186 | − | 15.6069i | −0.212302 | − | 0.792320i | ||||
\(389\) | 24.3558 | − | 14.0618i | 1.23489 | − | 0.712962i | 0.266842 | − | 0.963740i | \(-0.414020\pi\) |
0.968044 | + | 0.250779i | \(0.0806866\pi\) | |||||||
\(390\) | −4.08500 | − | 9.02498i | −0.206852 | − | 0.456998i | ||||
\(391\) | 0.915482i | 0.0462979i | ||||||||
\(392\) | −2.30667 | + | 6.60903i | −0.116505 | + | 0.333806i | ||||
\(393\) | −9.69509 | − | 16.7924i | −0.489052 | − | 0.847064i | ||||
\(394\) | 9.83442 | − | 5.67791i | 0.495451 | − | 0.286049i | ||||
\(395\) | 6.28827 | − | 23.4681i | 0.316397 | − | 1.18081i | ||||
\(396\) | 1.56804 | − | 1.56804i | 0.0787971 | − | 0.0787971i | ||||
\(397\) | −21.1092 | − | 5.65620i | −1.05944 | − | 0.283877i | −0.313294 | − | 0.949656i | \(-0.601432\pi\) |
−0.746148 | + | 0.665780i | \(0.768099\pi\) | |||||||
\(398\) | −12.8019 | + | 12.8019i | −0.641702 | + | 0.641702i | ||||
\(399\) | −0.108160 | − | 0.473010i | −0.00541478 | − | 0.0236801i | ||||
\(400\) | −2.20753 | + | 1.27452i | −0.110376 | + | 0.0637259i | ||||
\(401\) | 14.5359 | + | 14.5359i | 0.725888 | + | 0.725888i | 0.969798 | − | 0.243910i | \(-0.0784301\pi\) |
−0.243910 | + | 0.969798i | \(0.578430\pi\) | |||||||
\(402\) | 3.52425 | + | 6.10419i | 0.175774 | + | 0.304449i | ||||
\(403\) | 26.3930 | + | 9.94517i | 1.31473 | + | 0.495404i | ||||
\(404\) | 13.7444 | + | 7.93535i | 0.683811 | + | 0.394798i | ||||
\(405\) | −0.711118 | + | 2.65393i | −0.0353358 | + | 0.131875i | ||||
\(406\) | −8.45836 | + | 7.85450i | −0.419781 | + | 0.389812i | ||||
\(407\) | 2.47139 | + | 1.42686i | 0.122502 | + | 0.0707268i | ||||
\(408\) | −0.433850 | − | 1.61915i | −0.0214788 | − | 0.0801599i | ||||
\(409\) | −27.9592 | − | 27.9592i | −1.38249 | − | 1.38249i | −0.840173 | − | 0.542319i | \(-0.817547\pi\) |
−0.542319 | − | 0.840173i | \(-0.682453\pi\) | |||||||
\(410\) | 9.96723 | + | 9.96723i | 0.492246 | + | 0.492246i | ||||
\(411\) | 3.58980 | + | 13.3973i | 0.177072 | + | 0.660841i | ||||
\(412\) | 8.19841 | + | 4.73336i | 0.403907 | + | 0.233196i | ||||
\(413\) | 0.877199 | + | 3.83619i | 0.0431641 | + | 0.188767i | ||||
\(414\) | 0.141352 | − | 0.527533i | 0.00694708 | − | 0.0259269i | ||||
\(415\) | 38.2250 | + | 22.0692i | 1.87639 | + | 1.08334i | ||||
\(416\) | −2.28627 | − | 2.78800i | −0.112094 | − | 0.136693i | ||||
\(417\) | 7.91444 | + | 13.7082i | 0.387572 | + | 0.671294i | ||||
\(418\) | 0.287572 | + | 0.287572i | 0.0140656 | + | 0.0140656i | ||||
\(419\) | 19.3975 | − | 11.1991i | 0.947629 | − | 0.547114i | 0.0552851 | − | 0.998471i | \(-0.482393\pi\) |
0.892343 | + | 0.451357i | \(0.149060\pi\) | |||||||
\(420\) | 4.94653 | + | 5.32682i | 0.241366 | + | 0.259922i | ||||
\(421\) | −5.11816 | + | 5.11816i | −0.249444 | + | 0.249444i | −0.820742 | − | 0.571299i | \(-0.806440\pi\) |
0.571299 | + | 0.820742i | \(0.306440\pi\) | |||||||
\(422\) | 0.0175203 | + | 0.00469455i | 0.000852874 | + | 0.000228527i | ||||
\(423\) | −7.13604 | + | 7.13604i | −0.346966 | + | 0.346966i | ||||
\(424\) | 0.921879 | − | 3.44050i | 0.0447704 | − | 0.167085i | ||||
\(425\) | −3.70041 | + | 2.13643i | −0.179496 | + | 0.103632i | ||||
\(426\) | −2.02587 | − | 3.50891i | −0.0981538 | − | 0.170007i | ||||
\(427\) | −1.33701 | + | 36.1187i | −0.0647026 | + | 1.74790i | ||||
\(428\) | − | 3.20890i | − | 0.155108i | ||||||
\(429\) | 2.81927 | − | 7.48194i | 0.136116 | − | 0.361231i | ||||
\(430\) | −7.87905 | + | 4.54897i | −0.379962 | + | 0.219371i | ||||
\(431\) | −9.76457 | − | 36.4419i | −0.470343 | − | 1.75534i | −0.638539 | − | 0.769589i | \(-0.720461\pi\) |
0.168196 | − | 0.985754i | \(-0.446206\pi\) | |||||||
\(432\) | 1.00000i | 0.0481125i | ||||||||
\(433\) | −18.4530 | + | 31.9616i | −0.886795 | + | 1.53597i | −0.0431533 | + | 0.999068i | \(0.513740\pi\) |
−0.843642 | + | 0.536906i | \(0.819593\pi\) | |||||||
\(434\) | −20.6823 | − | 0.765603i | −0.992784 | − | 0.0367501i | ||||
\(435\) | 3.10245 | + | 11.5785i | 0.148751 | + | 0.555148i | ||||
\(436\) | 2.43579 | − | 9.09049i | 0.116653 | − | 0.435356i | ||||
\(437\) | 0.0967471 | + | 0.0259233i | 0.00462804 | + | 0.00124008i | ||||
\(438\) | −8.87631 | −0.424126 | ||||||||
\(439\) | 10.1657 | 0.485185 | 0.242592 | − | 0.970128i | \(-0.422002\pi\) | ||||
0.242592 | + | 0.970128i | \(0.422002\pi\) | |||||||
\(440\) | −5.88521 | − | 1.57694i | −0.280567 | − | 0.0751776i | ||||
\(441\) | 3.93862 | − | 5.78682i | 0.187553 | − | 0.275563i | ||||
\(442\) | −3.83240 | − | 4.67344i | −0.182289 | − | 0.222293i | ||||
\(443\) | −1.02220 | + | 1.77050i | −0.0485662 | + | 0.0841192i | −0.889287 | − | 0.457350i | \(-0.848799\pi\) |
0.840720 | + | 0.541470i | \(0.182132\pi\) | |||||||
\(444\) | −1.24303 | + | 0.333069i | −0.0589917 | + | 0.0158068i | ||||
\(445\) | −22.1026 | + | 38.2828i | −1.04776 | + | 1.81478i | ||||
\(446\) | −7.18702 | − | 12.4483i | −0.340315 | − | 0.589443i | ||||
\(447\) | −10.1736 | − | 10.1736i | −0.481196 | − | 0.481196i | ||||
\(448\) | 2.24078 | + | 1.40673i | 0.105867 | + | 0.0664617i | ||||
\(449\) | −19.3298 | + | 5.17939i | −0.912228 | + | 0.244431i | −0.684260 | − | 0.729238i | \(-0.739875\pi\) |
−0.227968 | + | 0.973669i | \(0.573208\pi\) | |||||||
\(450\) | 2.46218 | − | 0.659739i | 0.116068 | − | 0.0311004i | ||||
\(451\) | 11.3767i | 0.535708i | ||||||||
\(452\) | −3.13525 | − | 1.81014i | −0.147470 | − | 0.0851417i | ||||
\(453\) | 1.64562 | − | 1.64562i | 0.0773181 | − | 0.0773181i | ||||
\(454\) | −4.14138 | −0.194365 | ||||||||
\(455\) | 24.1679 | + | 10.1428i | 1.13301 | + | 0.475502i | ||||
\(456\) | −0.183395 | −0.00858827 | ||||||||
\(457\) | −23.3378 | + | 23.3378i | −1.09170 | + | 1.09170i | −0.0963505 | + | 0.995347i | \(0.530717\pi\) |
−0.995347 | + | 0.0963505i | \(0.969283\pi\) | |||||||
\(458\) | −7.55955 | − | 4.36451i | −0.353234 | − | 0.203940i | ||||
\(459\) | 1.67627i | 0.0782415i | ||||||||
\(460\) | −1.44942 | + | 0.388372i | −0.0675798 | + | 0.0181079i | ||||
\(461\) | 13.7371 | − | 3.68085i | 0.639801 | − | 0.171434i | 0.0756877 | − | 0.997132i | \(-0.475885\pi\) |
0.564113 | + | 0.825697i | \(0.309218\pi\) | |||||||
\(462\) | −0.217034 | + | 5.86306i | −0.0100974 | + | 0.272774i | ||||
\(463\) | −15.3894 | − | 15.3894i | −0.715207 | − | 0.715207i | 0.252412 | − | 0.967620i | \(-0.418776\pi\) |
−0.967620 | + | 0.252412i | \(0.918776\pi\) | |||||||
\(464\) | 2.18139 | + | 3.77828i | 0.101269 | + | 0.175402i | ||||
\(465\) | −10.7464 | + | 18.6133i | −0.498353 | + | 0.863173i | ||||
\(466\) | 6.39321 | − | 1.71305i | 0.296160 | − | 0.0793557i | ||||
\(467\) | −20.4707 | + | 35.4563i | −0.947272 | + | 1.64072i | −0.196136 | + | 0.980577i | \(0.562840\pi\) |
−0.751136 | + | 0.660147i | \(0.770494\pi\) | |||||||
\(468\) | 1.48678 | + | 3.28474i | 0.0687264 | + | 0.151837i | ||||
\(469\) | −17.8223 | − | 5.48965i | −0.822957 | − | 0.253488i | ||||
\(470\) | 26.7831 | + | 7.17652i | 1.23541 | + | 0.331028i | ||||
\(471\) | −5.33748 | −0.245938 | ||||||||
\(472\) | 1.48737 | 0.0684617 | ||||||||
\(473\) | −7.09274 | − | 1.90049i | −0.326125 | − | 0.0873848i | ||||
\(474\) | −2.28868 | + | 8.54147i | −0.105123 | + | 0.392323i | ||||
\(475\) | 0.120993 | + | 0.451552i | 0.00555154 | + | 0.0207186i | ||||
\(476\) | 3.75616 | + | 2.35806i | 0.172163 | + | 0.108081i | ||||
\(477\) | −1.78093 | + | 3.08467i | −0.0815433 | + | 0.141237i | ||||
\(478\) | 5.73605i | 0.262361i | ||||||||
\(479\) | 3.00600 | + | 11.2186i | 0.137348 | + | 0.512589i | 0.999977 | + | 0.00675234i | \(0.00214935\pi\) |
−0.862629 | + | 0.505836i | \(0.831184\pi\) | |||||||
\(480\) | 2.37945 | − | 1.37378i | 0.108606 | − | 0.0627040i | ||||
\(481\) | −3.58783 | + | 2.94216i | −0.163591 | + | 0.134151i | ||||
\(482\) | − | 9.00015i | − | 0.409946i | ||||||
\(483\) | 0.675694 | + | 1.27724i | 0.0307451 | + | 0.0581164i | ||||
\(484\) | 3.04124 | + | 5.26759i | 0.138238 | + | 0.239436i | ||||
\(485\) | 38.4458 | − | 22.1967i | 1.74573 | − | 1.00790i | ||||
\(486\) | 0.258819 | − | 0.965926i | 0.0117403 | − | 0.0438153i | ||||
\(487\) | 7.41455 | − | 7.41455i | 0.335986 | − | 0.335986i | −0.518869 | − | 0.854854i | \(-0.673647\pi\) |
0.854854 | + | 0.518869i | \(0.173647\pi\) | |||||||
\(488\) | 13.1954 | + | 3.53571i | 0.597329 | + | 0.160054i | ||||
\(489\) | −3.95898 | + | 3.95898i | −0.179031 | + | 0.179031i | ||||
\(490\) | −19.1802 | − | 1.42195i | −0.866474 | − | 0.0642370i | ||||
\(491\) | −3.98650 | + | 2.30160i | −0.179908 | + | 0.103870i | −0.587249 | − | 0.809406i | \(-0.699789\pi\) |
0.407341 | + | 0.913276i | \(0.366456\pi\) | |||||||
\(492\) | −3.62768 | − | 3.62768i | −0.163548 | − | 0.163548i | ||||
\(493\) | 3.65660 | + | 6.33341i | 0.164685 | + | 0.285243i | ||||
\(494\) | −0.602405 | + | 0.272668i | −0.0271035 | + | 0.0122679i | ||||
\(495\) | 5.27654 | + | 3.04641i | 0.237163 | + | 0.136926i | ||||
\(496\) | −2.02462 | + | 7.55600i | −0.0909083 | + | 0.339274i | ||||
\(497\) | 10.2449 | + | 3.15566i | 0.459547 | + | 0.141550i | ||||
\(498\) | −13.9124 | − | 8.03232i | −0.623429 | − | 0.359937i | ||||
\(499\) | 3.26150 | + | 12.1721i | 0.146005 | + | 0.544897i | 0.999709 | + | 0.0241385i | \(0.00768426\pi\) |
−0.853704 | + | 0.520759i | \(0.825649\pi\) | |||||||
\(500\) | 4.76177 | + | 4.76177i | 0.212953 | + | 0.212953i | ||||
\(501\) | 5.03888 | + | 5.03888i | 0.225121 | + | 0.225121i | ||||
\(502\) | 4.02329 | + | 15.0151i | 0.179568 | + | 0.670159i | ||||
\(503\) | −25.3394 | − | 14.6297i | −1.12983 | − | 0.652306i | −0.185936 | − | 0.982562i | \(-0.559532\pi\) |
−0.943891 | + | 0.330256i | \(0.892865\pi\) | |||||||
\(504\) | −1.80034 | − | 1.93875i | −0.0801936 | − | 0.0863590i | ||||
\(505\) | −11.2859 | + | 42.1197i | −0.502218 | + | 1.87430i | ||||
\(506\) | −1.04884 | − | 0.605549i | −0.0466267 | − | 0.0269199i | ||||
\(507\) | 9.76735 | + | 8.57898i | 0.433783 | + | 0.381006i | ||||
\(508\) | −6.68890 | − | 11.5855i | −0.296772 | − | 0.514024i | ||||
\(509\) | −17.3157 | − | 17.3157i | −0.767504 | − | 0.767504i | 0.210163 | − | 0.977666i | \(-0.432601\pi\) |
−0.977666 | + | 0.210163i | \(0.932601\pi\) | |||||||
\(510\) | 3.98859 | − | 2.30282i | 0.176618 | − | 0.101970i | ||||
\(511\) | 17.2090 | − | 15.9804i | 0.761280 | − | 0.706931i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 0.177146 | + | 0.0474662i | 0.00782120 | + | 0.00209568i | ||||
\(514\) | 5.07038 | − | 5.07038i | 0.223645 | − | 0.223645i | ||||
\(515\) | −6.73195 | + | 25.1240i | −0.296645 | + | 1.10710i | ||||
\(516\) | 2.86766 | − | 1.65565i | 0.126242 | − | 0.0728858i | ||||
\(517\) | 11.1896 | + | 19.3810i | 0.492118 | + | 0.852374i | ||||
\(518\) | 1.81029 | − | 2.88362i | 0.0795397 | − | 0.126699i | ||||
\(519\) | − | 2.84253i | − | 0.124773i | ||||||
\(520\) | 5.77336 | − | 8.05020i | 0.253179 | − | 0.353025i | ||||
\(521\) | 7.83904 | − | 4.52587i | 0.343434 | − | 0.198282i | −0.318355 | − | 0.947971i | \(-0.603131\pi\) |
0.661790 | + | 0.749690i | \(0.269797\pi\) | |||||||
\(522\) | −1.12917 | − | 4.21412i | −0.0494225 | − | 0.184447i | ||||
\(523\) | 6.35492i | 0.277881i | 0.990301 | + | 0.138941i | \(0.0443697\pi\) | ||||
−0.990301 | + | 0.138941i | \(0.955630\pi\) | |||||||
\(524\) | 9.69509 | − | 16.7924i | 0.423532 | − | 0.733579i | ||||
\(525\) | −3.58580 | + | 5.71183i | −0.156497 | + | 0.249285i | ||||
\(526\) | 1.86870 | + | 6.97407i | 0.0814790 | + | 0.304084i | ||||
\(527\) | −3.39381 | + | 12.6659i | −0.147837 | + | 0.551734i | ||||
\(528\) | 2.14199 | + | 0.573943i | 0.0932180 | + | 0.0249777i | ||||
\(529\) | 22.7017 | 0.987032 | ||||||||
\(530\) | 9.78641 | 0.425094 | ||||||||
\(531\) | −1.43669 | − | 0.384959i | −0.0623469 | − | 0.0167058i | ||||
\(532\) | 0.355558 | − | 0.330174i | 0.0154154 | − | 0.0143149i | ||||
\(533\) | −17.3095 | − | 6.52241i | −0.749759 | − | 0.282517i | ||||
\(534\) | 8.04447 | − | 13.9334i | 0.348118 | − | 0.602958i | ||||
\(535\) | 8.51620 | − | 2.28191i | 0.368188 | − | 0.0986556i | ||||
\(536\) | −3.52425 | + | 6.10419i | −0.152225 | + | 0.263661i | ||||
\(537\) | 12.7690 | + | 22.1165i | 0.551022 | + | 0.954399i | ||||
\(538\) | −1.42419 | − | 1.42419i | −0.0614010 | − | 0.0614010i | ||||
\(539\) | −10.1347 | − | 11.7578i | −0.436534 | − | 0.506443i | ||||
\(540\) | −2.65393 | + | 0.711118i | −0.114207 | + | 0.0306017i | ||||
\(541\) | 1.59127 | − | 0.426380i | 0.0684142 | − | 0.0183315i | −0.224450 | − | 0.974486i | \(-0.572058\pi\) |
0.292864 | + | 0.956154i | \(0.405392\pi\) | |||||||
\(542\) | 22.9065i | 0.983917i | ||||||||
\(543\) | −13.9617 | − | 8.06081i | −0.599155 | − | 0.345923i | ||||
\(544\) | 1.18530 | − | 1.18530i | 0.0508194 | − | 0.0508194i | ||||
\(545\) | 25.8577 | 1.10762 | ||||||||
\(546\) | −8.79615 | − | 3.69158i | −0.376440 | − | 0.157985i | ||||
\(547\) | 30.4255 | 1.30090 | 0.650451 | − | 0.759548i | \(-0.274580\pi\) | ||||
0.650451 | + | 0.759548i | \(0.274580\pi\) | |||||||
\(548\) | −9.80752 | + | 9.80752i | −0.418956 | + | 0.418956i | ||||
\(549\) | −11.8307 | − | 6.83046i | −0.504922 | − | 0.291517i | ||||
\(550\) | − | 5.65260i | − | 0.241028i | ||||||
\(551\) | 0.772850 | − | 0.207085i | 0.0329245 | − | 0.00882210i | ||||
\(552\) | 0.527533 | − | 0.141352i | 0.0224533 | − | 0.00601635i | ||||
\(553\) | −10.9404 | − | 20.6802i | −0.465233 | − | 0.879413i | ||||
\(554\) | 18.0695 | + | 18.0695i | 0.767702 | + | 0.767702i | ||||
\(555\) | −1.76789 | − | 3.06207i | −0.0750426 | − | 0.129978i | ||||
\(556\) | −7.91444 | + | 13.7082i | −0.335647 | + | 0.581358i | ||||
\(557\) | −32.4300 | + | 8.68959i | −1.37410 | + | 0.368190i | −0.868976 | − | 0.494855i | \(-0.835221\pi\) |
−0.505127 | + | 0.863045i | \(0.668555\pi\) | |||||||
\(558\) | 3.91127 | − | 6.77452i | 0.165577 | − | 0.286788i | ||||
\(559\) | 6.95794 | − | 9.70194i | 0.294289 | − | 0.410348i | ||||
\(560\) | −2.13990 | + | 6.94723i | −0.0904272 | + | 0.293574i | ||||
\(561\) | 3.59054 | + | 0.962083i | 0.151593 | + | 0.0406192i | ||||
\(562\) | −14.3237 | −0.604210 | ||||||||
\(563\) | 16.0093 | 0.674710 | 0.337355 | − | 0.941378i | \(-0.390468\pi\) | ||||
0.337355 | + | 0.941378i | \(0.390468\pi\) | |||||||
\(564\) | −9.74801 | − | 2.61197i | −0.410465 | − | 0.109984i | ||||
\(565\) | 2.57444 | − | 9.60796i | 0.108308 | − | 0.404210i | ||||
\(566\) | −7.87019 | − | 29.3719i | −0.330809 | − | 1.23459i | ||||
\(567\) | 1.23721 | + | 2.33866i | 0.0519580 | + | 0.0982143i | ||||
\(568\) | 2.02587 | − | 3.50891i | 0.0850037 | − | 0.147231i | ||||
\(569\) | − | 4.60867i | − | 0.193205i | −0.995323 | − | 0.0966027i | \(-0.969202\pi\) | ||
0.995323 | − | 0.0966027i | \(-0.0307976\pi\) | |||||||
\(570\) | −0.130416 | − | 0.486718i | −0.00546251 | − | 0.0203864i | ||||
\(571\) | −22.7993 | + | 13.1632i | −0.954120 | + | 0.550861i | −0.894358 | − | 0.447352i | \(-0.852367\pi\) |
−0.0597613 | + | 0.998213i | \(0.519034\pi\) | |||||||
\(572\) | 7.88918 | − | 1.29941i | 0.329863 | − | 0.0543309i | ||||
\(573\) | 1.63311i | 0.0682242i | ||||||||
\(574\) | 13.5642 | + | 0.502111i | 0.566160 | + | 0.0209577i | ||||
\(575\) | −0.696068 | − | 1.20563i | −0.0290281 | − | 0.0502781i | ||||
\(576\) | −0.866025 | + | 0.500000i | −0.0360844 | + | 0.0208333i | ||||
\(577\) | 10.6250 | − | 39.6530i | 0.442324 | − | 1.65078i | −0.280582 | − | 0.959830i | \(-0.590528\pi\) |
0.722907 | − | 0.690946i | \(-0.242806\pi\) | |||||||
\(578\) | −10.0339 | + | 10.0339i | −0.417357 | + | 0.417357i | ||||
\(579\) | 9.13997 | + | 2.44905i | 0.379844 | + | 0.101779i | ||||
\(580\) | −8.47606 | + | 8.47606i | −0.351949 | + | 0.351949i | ||||
\(581\) | 41.4336 | − | 9.47438i | 1.71896 | − | 0.393063i | ||||
\(582\) | −13.9928 | + | 8.07872i | −0.580019 | + | 0.334874i | ||||
\(583\) | 5.58516 | + | 5.58516i | 0.231314 | + | 0.231314i | ||||
\(584\) | −4.43815 | − | 7.68711i | −0.183652 | − | 0.318095i | ||||
\(585\) | −7.66018 | + | 6.28164i | −0.316710 | + | 0.259714i | ||||
\(586\) | −6.31494 | − | 3.64593i | −0.260868 | − | 0.150612i | ||||
\(587\) | −6.32248 | + | 23.5958i | −0.260957 | + | 0.973904i | 0.703722 | + | 0.710475i | \(0.251520\pi\) |
−0.964679 | + | 0.263429i | \(0.915147\pi\) | |||||||
\(588\) | 6.98084 | + | 0.517532i | 0.287885 | + | 0.0213427i | ||||
\(589\) | 1.24242 | + | 0.717309i | 0.0511928 | + | 0.0295562i | ||||
\(590\) | 1.05770 | + | 3.94737i | 0.0435446 | + | 0.162511i | ||||
\(591\) | −8.02977 | − | 8.02977i | −0.330301 | − | 0.330301i | ||||
\(592\) | −0.909963 | − | 0.909963i | −0.0373992 | − | 0.0373992i | ||||
\(593\) | 9.55230 | + | 35.6497i | 0.392266 | + | 1.46396i | 0.826387 | + | 0.563103i | \(0.190392\pi\) |
−0.434121 | + | 0.900855i | \(0.642941\pi\) | |||||||
\(594\) | −1.92045 | − | 1.10877i | −0.0787971 | − | 0.0454935i | ||||
\(595\) | −3.58704 | + | 11.6454i | −0.147054 | + | 0.477416i | ||||
\(596\) | 3.72381 | − | 13.8974i | 0.152533 | − | 0.569261i | ||||
\(597\) | 15.6791 | + | 9.05233i | 0.641702 | + | 0.370487i | ||||
\(598\) | 1.52265 | − | 1.24863i | 0.0622657 | − | 0.0510603i | ||||
\(599\) | −2.06623 | − | 3.57882i | −0.0844240 | − | 0.146227i | 0.820722 | − | 0.571328i | \(-0.193572\pi\) |
−0.905146 | + | 0.425102i | \(0.860238\pi\) | |||||||
\(600\) | 1.80244 | + | 1.80244i | 0.0735843 | + | 0.0735843i | ||||
\(601\) | −19.4142 | + | 11.2088i | −0.791923 | + | 0.457217i | −0.840639 | − | 0.541596i | \(-0.817820\pi\) |
0.0487163 | + | 0.998813i | \(0.484487\pi\) | |||||||
\(602\) | −2.57896 | + | 8.37267i | −0.105111 | + | 0.341244i | ||||
\(603\) | 4.98405 | − | 4.98405i | 0.202966 | − | 0.202966i | ||||
\(604\) | 2.24796 | + | 0.602340i | 0.0914683 | + | 0.0245089i | ||||
\(605\) | −11.8171 | + | 11.8171i | −0.480434 | + | 0.480434i | ||||
\(606\) | 4.10764 | − | 15.3299i | 0.166861 | − | 0.622735i | ||||
\(607\) | 15.0088 | − | 8.66532i | 0.609187 | − | 0.351715i | −0.163460 | − | 0.986550i | \(-0.552265\pi\) |
0.772647 | + | 0.634835i | \(0.218932\pi\) | |||||||
\(608\) | −0.0916976 | − | 0.158825i | −0.00371883 | − | 0.00644120i | ||||
\(609\) | 9.77605 | + | 6.13725i | 0.396146 | + | 0.248694i | ||||
\(610\) | 37.5341i | 1.51971i | ||||||||
\(611\) | −35.9031 | + | 5.91350i | −1.45248 | + | 0.239234i | ||||
\(612\) | −1.45169 | + | 0.838134i | −0.0586811 | + | 0.0338796i | ||||
\(613\) | −9.95649 | − | 37.1581i | −0.402139 | − | 1.50080i | −0.809272 | − | 0.587434i | \(-0.800138\pi\) |
0.407133 | − | 0.913369i | \(-0.366529\pi\) | |||||||
\(614\) | − | 1.47260i | − | 0.0594295i | ||||||
\(615\) | 7.04790 | − | 12.2073i | 0.284199 | − | 0.492246i | ||||
\(616\) | −5.18608 | + | 2.74357i | −0.208953 | + | 0.110542i | ||||
\(617\) | 9.83501 | + | 36.7048i | 0.395943 | + | 1.47768i | 0.820169 | + | 0.572121i | \(0.193879\pi\) |
−0.424226 | + | 0.905556i | \(0.639454\pi\) | |||||||
\(618\) | 2.45017 | − | 9.14414i | 0.0985601 | − | 0.367831i | ||||
\(619\) | −22.9453 | − | 6.14818i | −0.922250 | − | 0.247116i | −0.233703 | − | 0.972308i | \(-0.575084\pi\) |
−0.688547 | + | 0.725192i | \(0.741751\pi\) | |||||||
\(620\) | −21.4928 | −0.863173 | ||||||||
\(621\) | −0.546143 | −0.0219160 | ||||||||
\(622\) | −19.9083 | − | 5.33442i | −0.798251 | − | 0.213891i | ||||
\(623\) | 9.48870 | + | 41.4963i | 0.380157 | + | 1.66251i | ||||
\(624\) | −2.10128 | + | 2.92996i | −0.0841183 | + | 0.117292i | ||||
\(625\) | −15.6238 | + | 27.0612i | −0.624952 | + | 1.08245i | ||||
\(626\) | −9.88803 | + | 2.64949i | −0.395205 | + | 0.105895i | ||||
\(627\) | 0.203344 | − | 0.352202i | 0.00812077 | − | 0.0140656i | ||||
\(628\) | −2.66874 | − | 4.62239i | −0.106494 | − | 0.184453i | ||||
\(629\) | −1.52534 | − | 1.52534i | −0.0608193 | − | 0.0608193i | ||||
\(630\) | 3.86506 | − | 6.15667i | 0.153988 | − | 0.245287i | ||||
\(631\) | −38.9228 | + | 10.4293i | −1.54949 | + | 0.415185i | −0.929318 | − | 0.369280i | \(-0.879604\pi\) |
−0.620173 | + | 0.784465i | \(0.712937\pi\) | |||||||
\(632\) | −8.54147 | + | 2.28868i | −0.339762 | + | 0.0910388i | ||||
\(633\) | − | 0.0181383i | − | 0.000720934i | ||||||
\(634\) | 0.322577 | + | 0.186240i | 0.0128112 | + | 0.00739654i | ||||
\(635\) | 25.9905 | − | 25.9905i | 1.03140 | − | 1.03140i | ||||
\(636\) | −3.56187 | −0.141237 | ||||||||
\(637\) | 23.6997 | − | 8.67901i | 0.939015 | − | 0.343875i | ||||
\(638\) | −9.67467 | −0.383024 | ||||||||
\(639\) | −2.86502 | + | 2.86502i | −0.113338 | + | 0.113338i | ||||
\(640\) | 2.37945 | + | 1.37378i | 0.0940560 | + | 0.0543032i | ||||
\(641\) | − | 43.9676i | − | 1.73661i | −0.496026 | − | 0.868307i | \(-0.665208\pi\) | ||
0.496026 | − | 0.868307i | \(-0.334792\pi\) | |||||||
\(642\) | −3.09956 | + | 0.830525i | −0.122330 | + | 0.0327782i | ||||
\(643\) | 25.5889 | − | 6.85652i | 1.00913 | − | 0.270395i | 0.283863 | − | 0.958865i | \(-0.408384\pi\) |
0.725265 | + | 0.688470i | \(0.241717\pi\) | |||||||
\(644\) | −0.768275 | + | 1.22379i | −0.0302743 | + | 0.0482240i | ||||
\(645\) | 6.43322 | + | 6.43322i | 0.253308 | + | 0.253308i | ||||
\(646\) | −0.153710 | − | 0.266233i | −0.00604763 | − | 0.0104748i | ||||
\(647\) | −15.8044 | + | 27.3741i | −0.621337 | + | 1.07619i | 0.367900 | + | 0.929865i | \(0.380077\pi\) |
−0.989237 | + | 0.146321i | \(0.953257\pi\) | |||||||
\(648\) | 0.965926 | − | 0.258819i | 0.0379452 | − | 0.0101674i | ||||
\(649\) | −1.64915 | + | 2.85642i | −0.0647350 | + | 0.112124i | ||||
\(650\) | 8.60037 | + | 3.24071i | 0.337334 | + | 0.127111i | ||||
\(651\) | 4.61347 | + | 20.1758i | 0.180816 | + | 0.790750i | ||||
\(652\) | −5.40806 | − | 1.44909i | −0.211796 | − | 0.0567506i | ||||
\(653\) | −0.955783 | −0.0374027 | −0.0187013 | − | 0.999825i | \(-0.505953\pi\) | ||||
−0.0187013 | + | 0.999825i | \(0.505953\pi\) | |||||||
\(654\) | −9.41117 | −0.368006 | ||||||||
\(655\) | 51.4602 | + | 13.7887i | 2.01071 | + | 0.538769i | ||||
\(656\) | 1.32782 | − | 4.95550i | 0.0518428 | − | 0.193480i | ||||
\(657\) | 2.29736 | + | 8.57385i | 0.0896284 | + | 0.334498i | ||||
\(658\) | 23.6014 | − | 12.4858i | 0.920080 | − | 0.486747i | ||||
\(659\) | −12.1342 | + | 21.0171i | −0.472681 | + | 0.818708i | −0.999511 | − | 0.0312626i | \(-0.990047\pi\) |
0.526830 | + | 0.849971i | \(0.323381\pi\) | |||||||
\(660\) | 6.09282i | 0.237163i | ||||||||
\(661\) | 5.48656 | + | 20.4761i | 0.213403 | + | 0.796429i | 0.986723 | + | 0.162413i | \(0.0519278\pi\) |
−0.773320 | + | 0.634016i | \(0.781406\pi\) | |||||||
\(662\) | 11.5345 | − | 6.65946i | 0.448302 | − | 0.258827i | ||||
\(663\) | −3.52230 | + | 4.91139i | −0.136795 | + | 0.190743i | ||||
\(664\) | − | 16.0646i | − | 0.623429i | ||||||
\(665\) | 1.12910 | + | 0.708834i | 0.0437848 | + | 0.0274874i | ||||
\(666\) | 0.643441 | + | 1.11447i | 0.0249328 | + | 0.0431849i | ||||
\(667\) | −2.06348 | + | 1.19135i | −0.0798983 | + | 0.0461293i | ||||
\(668\) | −1.84436 | + | 6.88324i | −0.0713604 | + | 0.266321i | ||||
\(669\) | −10.1640 | + | 10.1640i | −0.392962 | + | 0.392962i | ||||
\(670\) | −18.7062 | − | 5.01232i | −0.722685 | − | 0.193643i | ||||
\(671\) | −21.4209 | + | 21.4209i | −0.826945 | + | 0.826945i | ||||
\(672\) | 0.778839 | − | 2.52852i | 0.0300444 | − | 0.0975398i | ||||
\(673\) | 35.5408 | − | 20.5195i | 1.37000 | − | 0.790969i | 0.379070 | − | 0.925368i | \(-0.376244\pi\) |
0.990927 | + | 0.134399i | \(0.0429105\pi\) | |||||||
\(674\) | −16.1468 | − | 16.1468i | −0.621950 | − | 0.621950i | ||||
\(675\) | −1.27452 | − | 2.20753i | −0.0490562 | − | 0.0849678i | ||||
\(676\) | −2.54594 | + | 12.7483i | −0.0979207 | + | 0.490318i | ||||
\(677\) | −3.46230 | − | 1.99896i | −0.133067 | − | 0.0768264i | 0.431989 | − | 0.901879i | \(-0.357812\pi\) |
−0.565056 | + | 0.825053i | \(0.691145\pi\) | |||||||
\(678\) | −0.936996 | + | 3.49692i | −0.0359851 | + | 0.134298i | ||||
\(679\) | 12.5840 | − | 40.8544i | 0.482931 | − | 1.56785i | ||||
\(680\) | 3.98859 | + | 2.30282i | 0.152956 | + | 0.0883090i | ||||
\(681\) | 1.07187 | + | 4.00027i | 0.0410741 | + | 0.153291i | ||||
\(682\) | −12.2661 | − | 12.2661i | −0.469692 | − | 0.469692i | ||||
\(683\) | −8.30922 | − | 8.30922i | −0.317944 | − | 0.317944i | 0.530033 | − | 0.847977i | \(-0.322179\pi\) |
−0.847977 | + | 0.530033i | \(0.822179\pi\) | |||||||
\(684\) | 0.0474662 | + | 0.177146i | 0.00181492 | + | 0.00677336i | ||||
\(685\) | −33.0028 | − | 19.0542i | −1.26097 | − | 0.728022i | ||||
\(686\) | −14.4659 | + | 11.5645i | −0.552309 | + | 0.441536i | ||||
\(687\) | −2.25923 | + | 8.43158i | −0.0861952 | + | 0.321685i | ||||
\(688\) | 2.86766 | + | 1.65565i | 0.109329 | + | 0.0631209i | ||||
\(689\) | −11.6998 | + | 5.29571i | −0.445727 | + | 0.201750i | ||||
\(690\) | 0.750277 | + | 1.29952i | 0.0285626 | + | 0.0494718i | ||||
\(691\) | 20.4063 | + | 20.4063i | 0.776292 | + | 0.776292i | 0.979198 | − | 0.202906i | \(-0.0650385\pi\) |
−0.202906 | + | 0.979198i | \(0.565039\pi\) | |||||||
\(692\) | 2.46170 | − | 1.42127i | 0.0935799 | − | 0.0540284i | ||||
\(693\) | 5.71946 | − | 1.30783i | 0.217264 | − | 0.0496805i | ||||
\(694\) | 10.5234 | − | 10.5234i | 0.399463 | − | 0.399463i | ||||
\(695\) | −42.0088 | − | 11.2562i | −1.59348 | − | 0.426972i | ||||
\(696\) | 3.08495 | − | 3.08495i | 0.116935 | − | 0.116935i | ||||
\(697\) | 2.22579 | − | 8.30675i | 0.0843077 | − | 0.314641i | ||||
\(698\) | −8.61163 | + | 4.97193i | −0.325955 | + | 0.188190i | ||||
\(699\) | −3.30937 | − | 5.73199i | −0.125172 | − | 0.216804i | ||||
\(700\) | −6.73949 | − | 0.249478i | −0.254729 | − | 0.00942937i | ||||
\(701\) | − | 8.49261i | − | 0.320761i | −0.987055 | − | 0.160381i | \(-0.948728\pi\) | ||
0.987055 | − | 0.160381i | \(-0.0512722\pi\) | |||||||
\(702\) | 2.78800 | − | 2.28627i | 0.105226 | − | 0.0862897i | ||||
\(703\) | −0.204389 | + | 0.118004i | −0.00770867 | + | 0.00445060i | ||||
\(704\) | 0.573943 | + | 2.14199i | 0.0216313 | + | 0.0807291i | ||||
\(705\) | − | 27.7280i | − | 1.04430i | ||||||
\(706\) | 10.8476 | − | 18.7886i | 0.408256 | − | 0.707119i | ||||
\(707\) | 19.6354 | + | 37.1161i | 0.738465 | + | 1.39589i | ||||
\(708\) | −0.384959 | − | 1.43669i | −0.0144677 | − | 0.0539940i | ||||
\(709\) | 9.84414 | − | 36.7388i | 0.369704 | − | 1.37976i | −0.491225 | − | 0.871032i | \(-0.663451\pi\) |
0.860930 | − | 0.508724i | \(-0.169882\pi\) | |||||||
\(710\) | 10.7530 | + | 2.88127i | 0.403555 | + | 0.108132i | ||||
\(711\) | 8.84278 | 0.331630 | ||||||||
\(712\) | 16.0889 | 0.602958 | ||||||||
\(713\) | −4.12665 | − | 1.10573i | −0.154544 | − | 0.0414100i | ||||
\(714\) | 1.30554 | − | 4.23848i | 0.0488587 | − | 0.158621i | ||||
\(715\) | 9.05868 | + | 20.0133i | 0.338775 | + | 0.748455i | ||||
\(716\) | −12.7690 | + | 22.1165i | −0.477199 | + | 0.826534i | ||||
\(717\) | 5.54060 | − | 1.48460i | 0.206917 | − | 0.0554434i | ||||
\(718\) | −13.1466 | + | 22.7705i | −0.490626 | + | 0.849789i | ||||
\(719\) | −23.9854 | − | 41.5439i | −0.894503 | − | 1.54932i | −0.834419 | − | 0.551131i | \(-0.814196\pi\) |
−0.0600843 | − | 0.998193i | \(-0.519137\pi\) | |||||||
\(720\) | −1.94281 | − | 1.94281i | −0.0724043 | − | 0.0724043i | ||||
\(721\) | 11.7123 | + | 22.1394i | 0.436190 | + | 0.824513i | ||||
\(722\) | 18.3201 | − | 4.90886i | 0.681804 | − | 0.182689i | ||||
\(723\) | −8.69348 | + | 2.32941i | −0.323314 | + | 0.0866317i | ||||
\(724\) | − | 16.1216i | − | 0.599155i | ||||||
\(725\) | −9.63097 | − | 5.56044i | −0.357685 | − | 0.206510i | ||||
\(726\) | 4.30097 | − | 4.30097i | 0.159624 | − | 0.159624i | ||||
\(727\) | −29.5720 | −1.09677 | −0.548383 | − | 0.836227i | \(-0.684756\pi\) | ||||
−0.548383 | + | 0.836227i | \(0.684756\pi\) | |||||||
\(728\) | −1.20107 | − | 9.46348i | −0.0445146 | − | 0.350740i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 17.2450 | − | 17.2450i | 0.638266 | − | 0.638266i | ||||
\(731\) | 4.80697 | + | 2.77531i | 0.177792 | + | 0.102648i | ||||
\(732\) | − | 13.6609i | − | 0.504922i | ||||||
\(733\) | 32.8929 | − | 8.81361i | 1.21493 | − | 0.325538i | 0.406233 | − | 0.913770i | \(-0.366842\pi\) |
0.808693 | + | 0.588232i | \(0.200176\pi\) | |||||||
\(734\) | −8.69773 | + | 2.33055i | −0.321039 | + | 0.0860221i | ||||
\(735\) | 3.59071 | + | 18.8947i | 0.132445 | + | 0.696941i | ||||
\(736\) | 0.386181 | + | 0.386181i | 0.0142348 | + | 0.0142348i | ||||
\(737\) | −7.81520 | − | 13.5363i | −0.287876 | − | 0.498617i | ||||
\(738\) | −2.56516 | + | 4.44298i | −0.0944247 | + | 0.163548i | ||||
\(739\) | 18.6177 | − | 4.98861i | 0.684865 | − | 0.183509i | 0.100423 | − | 0.994945i | \(-0.467980\pi\) |
0.584441 | + | 0.811436i | \(0.301314\pi\) | |||||||
\(740\) | 1.76789 | − | 3.06207i | 0.0649888 | − | 0.112564i | ||||
\(741\) | 0.419291 | + | 0.511307i | 0.0154030 | + | 0.0187833i | ||||
\(742\) | 6.90558 | − | 6.41258i | 0.253512 | − | 0.235413i | ||||
\(743\) | −40.9049 | − | 10.9604i | −1.50065 | − | 0.402099i | −0.587335 | − | 0.809344i | \(-0.699823\pi\) |
−0.913319 | + | 0.407245i | \(0.866490\pi\) | |||||||
\(744\) | 7.82254 | 0.286788 | ||||||||
\(745\) | 39.5309 | 1.44830 | ||||||||
\(746\) | 25.8205 | + | 6.91859i | 0.945357 | + | 0.253308i | ||||
\(747\) | −4.15784 | + | 15.5173i | −0.152127 | + | 0.567747i | ||||
\(748\) | 0.962083 | + | 3.59054i | 0.0351772 | + | 0.131283i | ||||
\(749\) | 4.51406 | − | 7.19046i | 0.164940 | − | 0.262734i | ||||
\(750\) | 3.36708 | − | 5.83195i | 0.122948 | − | 0.212953i | ||||
\(751\) | − | 1.51788i | − | 0.0553884i | −0.999616 | − | 0.0276942i | \(-0.991184\pi\) | ||
0.999616 | − | 0.0276942i | \(-0.00881646\pi\) | |||||||
\(752\) | −2.61197 | − | 9.74801i | −0.0952488 | − | 0.355473i | ||||
\(753\) | 13.4622 | − | 7.77241i | 0.490590 | − | 0.283242i | ||||
\(754\) | 5.54661 | − | 14.7199i | 0.201996 | − | 0.536067i | ||||
\(755\) | 6.39427i | 0.232711i | ||||||||
\(756\) | −1.40673 | + | 2.24078i | −0.0511623 | + | 0.0814965i | ||||
\(757\) | 10.3621 | + | 17.9476i | 0.376616 | + | 0.652318i | 0.990568 | − | 0.137026i | \(-0.0437542\pi\) |
−0.613951 | + | 0.789344i | \(0.710421\pi\) | |||||||
\(758\) | −9.48961 | + | 5.47883i | −0.344678 | + | 0.199000i | ||||
\(759\) | −0.313455 | + | 1.16983i | −0.0113777 | + | 0.0424621i | ||||
\(760\) | 0.356302 | − | 0.356302i | 0.0129244 | − | 0.0129244i | ||||
\(761\) | 10.1812 | + | 2.72805i | 0.369069 | + | 0.0988918i | 0.438587 | − | 0.898689i | \(-0.355479\pi\) |
−0.0695173 | + | 0.997581i | \(0.522146\pi\) | |||||||
\(762\) | −9.45953 | + | 9.45953i | −0.342683 | + | 0.342683i | ||||
\(763\) | 18.2459 | − | 16.9433i | 0.660547 | − | 0.613390i | ||||
\(764\) | −1.41432 | + | 0.816556i | −0.0511682 | + | 0.0295419i | ||||
\(765\) | −3.25667 | − | 3.25667i | −0.117745 | − | 0.117745i | ||||
\(766\) | −11.6674 | − | 20.2086i | −0.421562 | − | 0.730166i | ||||
\(767\) | −3.40053 | − | 4.14679i | −0.122786 | − | 0.149732i | ||||
\(768\) | −0.866025 | − | 0.500000i | −0.0312500 | − | 0.0180422i | ||||
\(769\) | −1.89366 | + | 7.06724i | −0.0682871 | + | 0.254851i | −0.991627 | − | 0.129132i | \(-0.958781\pi\) |
0.923340 | + | 0.383983i | \(0.125448\pi\) | |||||||
\(770\) | −10.9692 | − | 11.8125i | −0.395301 | − | 0.425692i | ||||
\(771\) | −6.20992 | − | 3.58530i | −0.223645 | − | 0.129121i | ||||
\(772\) | 2.44905 | + | 9.13997i | 0.0881432 | + | 0.328955i | ||||
\(773\) | −29.0097 | − | 29.0097i | −1.04341 | − | 1.04341i | −0.999014 | − | 0.0443932i | \(-0.985865\pi\) |
−0.0443932 | − | 0.999014i | \(-0.514135\pi\) | |||||||
\(774\) | −2.34144 | − | 2.34144i | −0.0841612 | − | 0.0841612i | ||||
\(775\) | −5.16083 | − | 19.2605i | −0.185383 | − | 0.691857i | ||||
\(776\) | −13.9928 | − | 8.07872i | −0.502311 | − | 0.290009i | ||||
\(777\) | −3.25390 | − | 1.00227i | −0.116733 | − | 0.0359563i | ||||
\(778\) | 7.27893 | − | 27.1653i | 0.260962 | − | 0.973924i | ||||
\(779\) | −0.814822 | − | 0.470438i | −0.0291940 | − | 0.0168552i | ||||
\(780\) | −9.27015 | − | 3.49309i | −0.331925 | − | 0.125073i | ||||
\(781\) | 4.49247 | + | 7.78118i | 0.160753 | + | 0.278433i | ||||
\(782\) | 0.647343 | + | 0.647343i | 0.0231490 | + | 0.0231490i | ||||
\(783\) | −3.77828 | + | 2.18139i | −0.135025 | + | 0.0779566i | ||||
\(784\) | 3.04223 | + | 6.30435i | 0.108651 | + | 0.225155i | ||||
\(785\) | 10.3697 | − | 10.3697i | 0.370111 | − | 0.370111i | ||||
\(786\) | −18.7295 | − | 5.01855i | −0.668058 | − | 0.179006i | ||||
\(787\) | 36.8103 | − | 36.8103i | 1.31214 | − | 1.31214i | 0.392312 | − | 0.919832i | \(-0.371675\pi\) |
0.919832 | − | 0.392312i | \(-0.128325\pi\) | |||||||
\(788\) | 2.93910 | − | 10.9689i | 0.104701 | − | 0.390750i | ||||
\(789\) | 6.25278 | − | 3.61004i | 0.222605 | − | 0.128521i | ||||
\(790\) | −12.1480 | − | 21.0409i | −0.432206 | − | 0.748603i | ||||
\(791\) | −4.47905 | − | 8.46658i | −0.159257 | − | 0.301037i | ||||
\(792\) | − | 2.21755i | − | 0.0787971i | ||||||
\(793\) | −20.3108 | − | 44.8725i | −0.721256 | − | 1.59347i | ||||
\(794\) | −18.9260 | + | 10.9269i | −0.671659 | + | 0.387783i | ||||
\(795\) | −2.53291 | − | 9.45295i | −0.0898330 | − | 0.335261i | ||||
\(796\) | 18.1047i | 0.641702i | ||||||||
\(797\) | −9.81837 | + | 17.0059i | −0.347784 | + | 0.602380i | −0.985856 | − | 0.167597i | \(-0.946399\pi\) |
0.638071 | + | 0.769977i | \(0.279733\pi\) | |||||||
\(798\) | −0.410949 | − | 0.257988i | −0.0145474 | − | 0.00913266i | ||||
\(799\) | −4.37836 | − | 16.3403i | −0.154895 | − | 0.578078i | ||||
\(800\) | −0.659739 | + | 2.46218i | −0.0233253 | + | 0.0870511i | ||||
\(801\) | −15.5407 | − | 4.16412i | −0.549104 | − | 0.147132i | ||||
\(802\) | 20.5569 | 0.725888 | ||||||||
\(803\) | 19.6836 | 0.694620 | ||||||||
\(804\) | 6.80833 | + | 1.82429i | 0.240111 | + | 0.0643377i | ||||
\(805\) | −3.79418 | − | 1.16869i | −0.133727 | − | 0.0411909i | ||||
\(806\) | 25.6950 | − | 11.6304i | 0.905067 | − | 0.409663i | ||||
\(807\) | −1.00705 | + | 1.74426i | −0.0354499 | + | 0.0614010i | ||||
\(808\) | 15.3299 | − | 4.10764i | 0.539304 | − | 0.144506i | ||||
\(809\) | 7.51268 | − | 13.0123i | 0.264132 | − | 0.457490i | −0.703204 | − | 0.710988i | \(-0.748248\pi\) |
0.967336 | + | 0.253498i | \(0.0815813\pi\) | |||||||
\(810\) | 1.37378 | + | 2.37945i | 0.0482695 | + | 0.0836053i | ||||
\(811\) | −22.5797 | − | 22.5797i | −0.792880 | − | 0.792880i | 0.189081 | − | 0.981961i | \(-0.439449\pi\) |
−0.981961 | + | 0.189081i | \(0.939449\pi\) | |||||||
\(812\) | −0.426992 | + | 11.5349i | −0.0149845 | + | 0.404797i | ||||
\(813\) | 22.1259 | − | 5.92863i | 0.775991 | − | 0.207926i | ||||
\(814\) | 2.75648 | − | 0.738597i | 0.0966146 | − | 0.0258878i | ||||
\(815\) | − | 15.3831i | − | 0.538846i | ||||||
\(816\) | −1.45169 | − | 0.838134i | −0.0508194 | − | 0.0293406i | ||||
\(817\) | 0.429409 | − | 0.429409i | 0.0150231 | − | 0.0150231i | ||||
\(818\) | −39.5402 | −1.38249 | ||||||||
\(819\) | −1.28918 | + | 9.45188i | −0.0450478 | + | 0.330275i | ||||
\(820\) | 14.0958 | 0.492246 | ||||||||
\(821\) | 38.8105 | − | 38.8105i | 1.35450 | − | 1.35450i | 0.473938 | − | 0.880558i | \(-0.342832\pi\) |
0.880558 | − | 0.473938i | \(-0.157168\pi\) | |||||||
\(822\) | 12.0117 | + | 6.93496i | 0.418956 | + | 0.241885i | ||||
\(823\) | − | 49.2059i | − | 1.71521i | −0.514308 | − | 0.857606i | \(-0.671951\pi\) | ||
0.514308 | − | 0.857606i | \(-0.328049\pi\) | |||||||
\(824\) | 9.14414 | − | 2.45017i | 0.318551 | − | 0.0853555i | ||||
\(825\) | −5.45999 | + | 1.46300i | −0.190093 | + | 0.0509352i | ||||
\(826\) | 3.33287 | + | 2.09232i | 0.115965 | + | 0.0728013i | ||||
\(827\) | 7.82426 | + | 7.82426i | 0.272076 | + | 0.272076i | 0.829936 | − | 0.557859i | \(-0.188377\pi\) |
−0.557859 | + | 0.829936i | \(0.688377\pi\) | |||||||
\(828\) | −0.273071 | − | 0.472973i | −0.00948989 | − | 0.0164370i | ||||
\(829\) | −5.52185 | + | 9.56413i | −0.191782 | + | 0.332176i | −0.945841 | − | 0.324631i | \(-0.894760\pi\) |
0.754059 | + | 0.656807i | \(0.228093\pi\) | |||||||
\(830\) | 42.6345 | − | 11.4239i | 1.47986 | − | 0.396528i | ||||
\(831\) | 12.7771 | − | 22.1306i | 0.443233 | − | 0.767702i | ||||
\(832\) | −3.58805 | − | 0.354780i | −0.124393 | − | 0.0122998i | ||||
\(833\) | 5.09959 | + | 10.5678i | 0.176690 | + | 0.366152i | ||||
\(834\) | 15.2895 | + | 4.09682i | 0.529433 | + | 0.141861i | ||||
\(835\) | −19.5792 | −0.677566 | ||||||||
\(836\) | 0.406688 | 0.0140656 | ||||||||
\(837\) | −7.55600 | − | 2.02462i | −0.261173 | − | 0.0699812i | ||||
\(838\) | 5.79710 | − | 21.6351i | 0.200257 | − | 0.747371i | ||||
\(839\) | −0.556614 | − | 2.07731i | −0.0192164 | − | 0.0717167i | 0.955652 | − | 0.294499i | \(-0.0951528\pi\) |
−0.974868 | + | 0.222782i | \(0.928486\pi\) | |||||||
\(840\) | 7.26436 | + | 0.268907i | 0.250644 | + | 0.00927816i | ||||
\(841\) | 4.98306 | − | 8.63092i | 0.171830 | − | 0.297618i | ||||
\(842\) | 7.23817i | 0.249444i | ||||||||
\(843\) | 3.70725 | + | 13.8356i | 0.127684 | + | 0.476525i | ||||
\(844\) | 0.0157083 | − | 0.00906917i | 0.000540701 | − | 0.000312174i | ||||
\(845\) | −35.6435 | + | 2.30878i | −1.22617 | + | 0.0794245i | ||||
\(846\) | 10.0919i | 0.346966i | ||||||||
\(847\) | −0.595301 | + | 16.0817i | −0.0204548 | + | 0.552575i | ||||
\(848\) | −1.78093 | − | 3.08467i | −0.0611575 | − | 0.105928i | ||||
\(849\) | −26.3342 | + | 15.2040i | −0.903786 | + | 0.521801i | ||||
\(850\) | −1.10590 | + | 4.12727i | −0.0379320 | + | 0.141564i | ||||
\(851\) | 0.496969 | − | 0.496969i | 0.0170359 | − | 0.0170359i | ||||
\(852\) | −3.91368 | − | 1.04867i | −0.134081 | − | 0.0359268i | ||||
\(853\) | 27.5693 | − | 27.5693i | 0.943954 | − | 0.943954i | −0.0545571 | − | 0.998511i | \(-0.517375\pi\) |
0.998511 | + | 0.0545571i | \(0.0173747\pi\) | |||||||
\(854\) | 24.5943 | + | 26.4852i | 0.841601 | + | 0.906304i | ||||
\(855\) | −0.436380 | + | 0.251944i | −0.0149239 | + | 0.00861630i | ||||
\(856\) | −2.26904 | − | 2.26904i | −0.0775541 | − | 0.0775541i | ||||
\(857\) | 10.0100 | + | 17.3379i | 0.341936 | + | 0.592251i | 0.984792 | − | 0.173736i | \(-0.0555839\pi\) |
−0.642856 | + | 0.765987i | \(0.722251\pi\) | |||||||
\(858\) | −3.29700 | − | 7.28406i | −0.112558 | − | 0.248674i | ||||
\(859\) | −22.5936 | − | 13.0444i | −0.770884 | − | 0.445070i | 0.0623061 | − | 0.998057i | \(-0.480155\pi\) |
−0.833190 | + | 0.552987i | \(0.813488\pi\) | |||||||
\(860\) | −2.35472 | + | 8.78794i | −0.0802953 | + | 0.299666i | ||||
\(861\) | −3.02568 | − | 13.2320i | −0.103115 | − | 0.450946i | ||||
\(862\) | −32.6729 | − | 18.8637i | −1.11284 | − | 0.642500i | ||||
\(863\) | −9.36095 | − | 34.9355i | −0.318651 | − | 1.18922i | −0.920543 | − | 0.390642i | \(-0.872253\pi\) |
0.601892 | − | 0.798578i | \(-0.294414\pi\) | |||||||
\(864\) | 0.707107 | + | 0.707107i | 0.0240563 | + | 0.0240563i | ||||
\(865\) | 5.52250 | + | 5.52250i | 0.187771 | + | 0.187771i | ||||
\(866\) | 9.55198 | + | 35.6485i | 0.324590 | + | 1.21138i | ||||
\(867\) | 12.2890 | + | 7.09506i | 0.417357 | + | 0.240961i | ||||
\(868\) | −15.1660 | + | 14.0833i | −0.514767 | + | 0.478017i | ||||
\(869\) | 5.07526 | − | 18.9411i | 0.172166 | − | 0.642533i | ||||
\(870\) | 10.3810 | + | 5.99348i | 0.351949 | + | 0.203198i | ||||
\(871\) | 25.0759 | − | 4.13018i | 0.849664 | − | 0.139946i | ||||
\(872\) | −4.70559 | − | 8.15031i | −0.159351 | − | 0.276004i | ||||
\(873\) | 11.4250 | + | 11.4250i | 0.386679 | + | 0.386679i | ||||
\(874\) | 0.0867411 | − | 0.0500800i | 0.00293406 | − | 0.00169398i | ||||
\(875\) | 3.97157 | + | 17.3686i | 0.134264 | + | 0.587166i | ||||
\(876\) | −6.27650 | + | 6.27650i | −0.212063 | + | 0.212063i | ||||
\(877\) | −23.6532 | − | 6.33785i | −0.798711 | − | 0.214014i | −0.163693 | − | 0.986511i | \(-0.552341\pi\) |
−0.635018 | + | 0.772497i | \(0.719007\pi\) | |||||||
\(878\) | 7.18827 | − | 7.18827i | 0.242592 | − | 0.242592i | ||||
\(879\) | −1.88727 | + | 7.04340i | −0.0636562 | + | 0.237568i | ||||
\(880\) | −5.27654 | + | 3.04641i | −0.177872 | + | 0.102694i | ||||
\(881\) | −0.802614 | − | 1.39017i | −0.0270407 | − | 0.0468359i | 0.852188 | − | 0.523235i | \(-0.175275\pi\) |
−0.879229 | + | 0.476399i | \(0.841942\pi\) | |||||||
\(882\) | −1.30688 | − | 6.87692i | −0.0440048 | − | 0.231558i | ||||
\(883\) | 38.8748i | 1.30824i | 0.756391 | + | 0.654120i | \(0.226961\pi\) | ||||
−0.756391 | + | 0.654120i | \(0.773039\pi\) | |||||||
\(884\) | −6.01454 | − | 0.594706i | −0.202291 | − | 0.0200021i | ||||
\(885\) | 3.53912 | − | 2.04331i | 0.118966 | − | 0.0686851i | ||||
\(886\) | 0.529130 | + | 1.97474i | 0.0177765 | + | 0.0663427i | ||||
\(887\) | − | 54.9310i | − | 1.84440i | −0.386710 | − | 0.922201i | \(-0.626389\pi\) | ||
0.386710 | − | 0.922201i | \(-0.373611\pi\) | |||||||
\(888\) | −0.643441 | + | 1.11447i | −0.0215925 | + | 0.0373992i | ||||
\(889\) | 1.30930 | − | 35.3701i | 0.0439126 | − | 1.18628i | ||||
\(890\) | 11.4411 | + | 42.6989i | 0.383508 | + | 1.43127i | ||||
\(891\) | −0.573943 | + | 2.14199i | −0.0192278 | + | 0.0717592i | ||||
\(892\) | −13.8843 | − | 3.72027i | −0.464879 | − | 0.124564i | ||||
\(893\) | −1.85080 | −0.0619348 | ||||||||
\(894\) | −14.3877 | −0.481196 | ||||||||
\(895\) | −67.7760 | − | 18.1605i | −2.26550 | − | 0.607039i | ||||
\(896\) | 2.57918 | − | 0.589766i | 0.0861644 | − | 0.0197027i | ||||
\(897\) | −1.60017 | − | 1.14760i | −0.0534283 | − | 0.0383171i | ||||
\(898\) | −10.0058 | + | 17.3306i | −0.333899 | + | 0.578329i | ||||
\(899\) | −32.9652 | + | 8.83299i | −1.09945 | + | 0.294597i | ||||
\(900\) | 1.27452 | − | 2.20753i | 0.0424839 | − | 0.0735843i | ||||
\(901\) | −2.98532 | − | 5.17073i | −0.0994555 | − | 0.172262i | ||||
\(902\) | 8.04455 | + | 8.04455i | 0.267854 | + | 0.267854i | ||||
\(903\) | 8.75486 | + | 0.324081i | 0.291344 | + | 0.0107847i | ||||
\(904\) | −3.49692 | + | 0.936996i | −0.116306 | + | 0.0311640i | ||||
\(905\) | 42.7857 | − | 11.4644i | 1.42224 | − | 0.381089i | ||||
\(906\) | − | 2.32726i | − | 0.0773181i | ||||||
\(907\) | 9.42391 | + | 5.44089i | 0.312916 | + | 0.180662i | 0.648230 | − | 0.761444i | \(-0.275509\pi\) |
−0.335315 | + | 0.942106i | \(0.608843\pi\) | |||||||
\(908\) | −2.92840 | + | 2.92840i | −0.0971824 | + | 0.0971824i | ||||
\(909\) | −15.8707 | −0.526398 | ||||||||
\(910\) | 24.2613 | − | 9.91721i | 0.804255 | − | 0.328752i | ||||
\(911\) | −42.6469 | −1.41296 | −0.706478 | − | 0.707735i | \(-0.749717\pi\) | ||||
−0.706478 | + | 0.707735i | \(0.749717\pi\) | |||||||
\(912\) | −0.129680 | + | 0.129680i | −0.00429414 | + | 0.00429414i | ||||
\(913\) | 30.8514 | + | 17.8121i | 1.02103 | + | 0.589493i | ||||
\(914\) | 33.0047i | 1.09170i | ||||||||
\(915\) | 36.2551 | − | 9.71453i | 1.19856 | − | 0.321153i | ||||
\(916\) | −8.43158 | + | 2.25923i | −0.278587 | + | 0.0746472i | ||||
\(917\) | 45.3469 | − | 23.9897i | 1.49749 | − | 0.792211i | ||||
\(918\) | 1.18530 | + | 1.18530i | 0.0391208 | + | 0.0391208i | ||||
\(919\) | 7.60332 | + | 13.1693i | 0.250810 | + | 0.434416i | 0.963749 | − | 0.266810i | \(-0.0859696\pi\) |
−0.712939 | + | 0.701226i | \(0.752636\pi\) | |||||||
\(920\) | −0.750277 | + | 1.29952i | −0.0247359 | + | 0.0428439i | ||||
\(921\) | −1.42243 | + | 0.381138i | −0.0468706 | + | 0.0125589i | ||||
\(922\) | 7.11085 | − | 12.3164i | 0.234183 | − | 0.405618i | ||||
\(923\) | −14.4146 | + | 2.37418i | −0.474461 | + | 0.0781472i | ||||
\(924\) | 3.99234 | + | 4.29928i | 0.131338 | + | 0.141436i | ||||
\(925\) | 3.16853 | + | 0.849005i | 0.104181 | + | 0.0279151i | ||||
\(926\) | −21.7639 | −0.715207 | ||||||||
\(927\) | −9.46671 | −0.310928 | ||||||||
\(928\) | 4.21412 | + | 1.12917i | 0.138335 | + | 0.0370669i | ||||
\(929\) | 3.48112 | − | 12.9917i | 0.114212 | − | 0.426244i | −0.885015 | − | 0.465562i | \(-0.845852\pi\) |
0.999227 | + | 0.0393186i | \(0.0125187\pi\) | |||||||
\(930\) | 5.56275 | + | 20.7605i | 0.182410 | + | 0.680763i | ||||
\(931\) | 1.26120 | − | 0.239675i | 0.0413340 | − | 0.00785503i | ||||
\(932\) | 3.30937 | − | 5.73199i | 0.108402 | − | 0.187758i | ||||
\(933\) | 20.6106i | 0.674761i | ||||||||
\(934\) | 10.5964 | + | 39.5464i | 0.346726 | + | 1.29400i | ||||
\(935\) | −8.84490 | + | 5.10660i | −0.289259 | + | 0.167004i | ||||
\(936\) | 3.37397 | + | 1.27135i | 0.110282 | + | 0.0415553i | ||||
\(937\) | − | 24.6205i | − | 0.804315i | −0.915570 | − | 0.402158i | \(-0.868260\pi\) | ||
0.915570 | − | 0.402158i | \(-0.131740\pi\) | |||||||
\(938\) | −16.4840 | + | 8.72049i | −0.538223 | + | 0.284734i | ||||
\(939\) | 5.11842 | + | 8.86536i | 0.167033 | + | 0.289310i | ||||
\(940\) | 24.0131 | − | 13.8640i | 0.783221 | − | 0.452193i | ||||
\(941\) | 0.833574 | − | 3.11094i | 0.0271737 | − | 0.101414i | −0.951007 | − | 0.309169i | \(-0.899949\pi\) |
0.978181 | + | 0.207755i | \(0.0666158\pi\) | |||||||
\(942\) | −3.77417 | + | 3.77417i | −0.122969 | + | 0.122969i | ||||
\(943\) | 2.70641 | + | 0.725181i | 0.0881329 | + | 0.0236151i | ||||
\(944\) | 1.05173 | − | 1.05173i | 0.0342308 | − | 0.0342308i | ||||
\(945\) | −6.94723 | − | 2.13990i | −0.225994 | − | 0.0696109i | ||||
\(946\) | −6.35918 | + | 3.67147i | −0.206755 | + | 0.119370i | ||||
\(947\) | 8.13118 | + | 8.13118i | 0.264228 | + | 0.264228i | 0.826769 | − | 0.562541i | \(-0.190176\pi\) |
−0.562541 | + | 0.826769i | \(0.690176\pi\) | |||||||
\(948\) | 4.42139 | + | 7.65808i | 0.143600 | + | 0.248723i | ||||
\(949\) | −11.2849 | + | 29.9484i | −0.366322 | + | 0.972166i | ||||
\(950\) | 0.404850 | + | 0.233740i | 0.0131351 | + | 0.00758354i | ||||
\(951\) | 0.0964049 | − | 0.359788i | 0.00312614 | − | 0.0116669i | ||||
\(952\) | 4.32340 | − | 0.988606i | 0.140122 | − | 0.0320409i | ||||
\(953\) | 39.2103 | + | 22.6381i | 1.27015 | + | 0.733319i | 0.975015 | − | 0.222138i | \(-0.0713037\pi\) |
0.295130 | + | 0.955457i | \(0.404637\pi\) | |||||||
\(954\) | 0.921879 | + | 3.44050i | 0.0298469 | + | 0.111390i | ||||
\(955\) | −3.17283 | − | 3.17283i | −0.102670 | − | 0.102670i | ||||
\(956\) | 4.05600 | + | 4.05600i | 0.131180 | + | 0.131180i | ||||
\(957\) | 2.50399 | + | 9.34502i | 0.0809425 | + | 0.302082i | ||||
\(958\) | 10.0583 | + | 5.80715i | 0.324968 | + | 0.187620i | ||||
\(959\) | −35.7731 | + | 8.18000i | −1.15517 | + | 0.264146i | ||||
\(960\) | 0.711118 | − | 2.65393i | 0.0229512 | − | 0.0856552i | ||||
\(961\) | −26.1472 | − | 15.0961i | −0.843458 | − | 0.486971i | ||||
\(962\) | −0.456560 | + | 4.61740i | −0.0147201 | + | 0.148871i | ||||
\(963\) | 1.60445 | + | 2.77899i | 0.0517027 | + | 0.0895517i | ||||
\(964\) | −6.36407 | − | 6.36407i | −0.204973 | − | 0.204973i | ||||
\(965\) | −22.5153 | + | 12.9992i | −0.724793 | + | 0.418459i | ||||
\(966\) | 1.38093 | + | 0.425357i | 0.0444308 | + | 0.0136856i | ||||
\(967\) | −31.2769 | + | 31.2769i | −1.00580 | + | 1.00580i | −0.00581309 | + | 0.999983i | \(0.501850\pi\) |
−0.999983 | + | 0.00581309i | \(0.998150\pi\) | |||||||
\(968\) | 5.87523 | + | 1.57426i | 0.188837 | + | 0.0505987i | ||||
\(969\) | −0.217379 | + | 0.217379i | −0.00698321 | + | 0.00698321i | ||||
\(970\) | 11.4899 | − | 42.8807i | 0.368917 | − | 1.37682i | ||||
\(971\) | −15.6210 | + | 9.01878i | −0.501301 | + | 0.289426i | −0.729251 | − | 0.684247i | \(-0.760131\pi\) |
0.227950 | + | 0.973673i | \(0.426798\pi\) | |||||||
\(972\) | −0.500000 | − | 0.866025i | −0.0160375 | − | 0.0277778i | ||||
\(973\) | −37.0183 | + | 19.5837i | −1.18675 | + | 0.627824i | ||||
\(974\) | − | 10.4858i | − | 0.335986i | ||||||
\(975\) | 0.904346 | − | 9.14607i | 0.0289623 | − | 0.292909i | ||||
\(976\) | 11.8307 | − | 6.83046i | 0.378692 | − | 0.218638i | ||||
\(977\) | −2.68788 | − | 10.0313i | −0.0859930 | − | 0.320930i | 0.909507 | − | 0.415688i | \(-0.136459\pi\) |
−0.995500 | + | 0.0947576i | \(0.969792\pi\) | |||||||
\(978\) | 5.59884i | 0.179031i | ||||||||
\(979\) | −17.8390 | + | 30.8980i | −0.570136 | + | 0.987505i | ||||
\(980\) | −14.5679 | + | 12.5570i | −0.465355 | + | 0.401118i | ||||
\(981\) | 2.43579 | + | 9.09049i | 0.0777688 | + | 0.290237i | ||||
\(982\) | −1.19140 | + | 4.44636i | −0.0380190 | + | 0.141889i | ||||
\(983\) | 22.0157 | + | 5.89909i | 0.702192 | + | 0.188152i | 0.592212 | − | 0.805782i | \(-0.298255\pi\) |
0.109980 | + | 0.993934i | \(0.464921\pi\) | |||||||
\(984\) | −5.13031 | −0.163548 | ||||||||
\(985\) | 31.2007 | 0.994136 | ||||||||
\(986\) | 7.06400 | + | 1.89279i | 0.224964 | + | 0.0602788i | ||||
\(987\) | −18.1688 | − | 19.5657i | −0.578321 | − | 0.622782i | ||||
\(988\) | −0.233159 | + | 0.618770i | −0.00741778 | + | 0.0196857i | ||||
\(989\) | −0.904219 | + | 1.56615i | −0.0287525 | + | 0.0498008i | ||||
\(990\) | 5.88521 | − | 1.57694i | 0.187044 | − | 0.0501184i | ||||
\(991\) | −7.76780 | + | 13.4542i | −0.246752 | + | 0.427387i | −0.962623 | − | 0.270846i | \(-0.912697\pi\) |
0.715871 | + | 0.698233i | \(0.246030\pi\) | |||||||
\(992\) | 3.91127 | + | 6.77452i | 0.124183 | + | 0.215091i | ||||
\(993\) | −9.41790 | − | 9.41790i | −0.298868 | − | 0.298868i | ||||
\(994\) | 9.47563 | − | 5.01286i | 0.300549 | − | 0.158998i | ||||
\(995\) | −48.0485 | + | 12.8746i | −1.52324 | + | 0.408151i | ||||
\(996\) | −15.5173 | + | 4.15784i | −0.491683 | + | 0.131746i | ||||
\(997\) | − | 7.87487i | − | 0.249400i | −0.992195 | − | 0.124700i | \(-0.960203\pi\) | ||
0.992195 | − | 0.124700i | \(-0.0397968\pi\) | |||||||
\(998\) | 10.9132 | + | 6.30073i | 0.345451 | + | 0.199446i | ||||
\(999\) | 0.909963 | − | 0.909963i | 0.0287899 | − | 0.0287899i |
(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 | 546.2.cg.b.145.10 | yes | 40 | |
7.3 | odd | 6 | 546.2.by.b.535.10 | yes | 40 | ||
13.7 | odd | 12 | 546.2.by.b.397.10 | ✓ | 40 | ||
91.59 | even | 12 | inner | 546.2.cg.b.241.10 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.397.10 | ✓ | 40 | 13.7 | odd | 12 | ||
546.2.by.b.535.10 | yes | 40 | 7.3 | odd | 6 | ||
546.2.cg.b.145.10 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.cg.b.241.10 | yes | 40 | 91.59 | even | 12 | inner |