Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,4,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.24207258022\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 165 x^{16} - 56 x^{15} + 18435 x^{14} - 11748 x^{13} + 1092662 x^{12} - 1833567 x^{11} + \cdots + 3892796082289 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 35.2 | ||
Root | \(1.58432 - 2.74412i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.35 |
Dual form | 38.4.e.b.25.2 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53209 | − | 1.28558i | −0.541675 | − | 0.454519i | ||||
\(3\) | −0.598158 | + | 0.217712i | −0.115116 | + | 0.0418987i | −0.398936 | − | 0.916979i | \(-0.630620\pi\) |
0.283820 | + | 0.958878i | \(0.408398\pi\) | |||||||
\(4\) | 0.694593 | + | 3.93923i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 3.08282 | − | 17.4836i | 0.275736 | − | 1.56378i | −0.460878 | − | 0.887463i | \(-0.652466\pi\) |
0.736614 | − | 0.676313i | \(-0.236423\pi\) | |||||||
\(6\) | 1.19632 | + | 0.435424i | 0.0813991 | + | 0.0296268i | ||||
\(7\) | −11.6036 | − | 20.0980i | −0.626535 | − | 1.08519i | −0.988242 | − | 0.152898i | \(-0.951139\pi\) |
0.361707 | − | 0.932292i | \(-0.382194\pi\) | |||||||
\(8\) | 4.00000 | − | 6.92820i | 0.176777 | − | 0.306186i | ||||
\(9\) | −20.3728 | + | 17.0948i | −0.754548 | + | 0.633141i | ||||
\(10\) | −27.1996 | + | 22.8232i | −0.860126 | + | 0.721732i | ||||
\(11\) | 20.1839 | − | 34.9595i | 0.553243 | − | 0.958244i | −0.444795 | − | 0.895632i | \(-0.646724\pi\) |
0.998038 | − | 0.0626122i | \(-0.0199431\pi\) | |||||||
\(12\) | −1.27309 | − | 2.20506i | −0.0306259 | − | 0.0530456i | ||||
\(13\) | 58.0417 | + | 21.1255i | 1.23830 | + | 0.450704i | 0.876432 | − | 0.481526i | \(-0.159917\pi\) |
0.361866 | + | 0.932230i | \(0.382140\pi\) | |||||||
\(14\) | −8.05977 | + | 45.7092i | −0.153862 | + | 0.872593i | ||||
\(15\) | 1.96236 | + | 11.1291i | 0.0337786 | + | 0.191568i | ||||
\(16\) | −15.0351 | + | 5.47232i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 54.7386 | + | 45.9311i | 0.780944 | + | 0.655290i | 0.943486 | − | 0.331412i | \(-0.107525\pi\) |
−0.162542 | + | 0.986702i | \(0.551969\pi\) | |||||||
\(18\) | 53.1896 | 0.696495 | ||||||||
\(19\) | −81.9431 | − | 12.0136i | −0.989423 | − | 0.145058i | ||||
\(20\) | 71.0130 | 0.793950 | ||||||||
\(21\) | 11.3164 | + | 9.49555i | 0.117592 | + | 0.0986714i | ||||
\(22\) | −75.8666 | + | 27.6132i | −0.735219 | + | 0.267598i | ||||
\(23\) | 22.2768 | + | 126.338i | 0.201958 | + | 1.14536i | 0.902155 | + | 0.431411i | \(0.141984\pi\) |
−0.700198 | + | 0.713949i | \(0.746905\pi\) | |||||||
\(24\) | −0.884282 | + | 5.01501i | −0.00752097 | + | 0.0426535i | ||||
\(25\) | −178.709 | − | 65.0448i | −1.42967 | − | 0.520359i | ||||
\(26\) | −61.7667 | − | 106.983i | −0.465902 | − | 0.806965i | ||||
\(27\) | 17.0578 | − | 29.5450i | 0.121584 | − | 0.210590i | ||||
\(28\) | 71.1109 | − | 59.6691i | 0.479954 | − | 0.402729i | ||||
\(29\) | 183.298 | − | 153.806i | 1.17371 | − | 0.984861i | 0.173712 | − | 0.984797i | \(-0.444424\pi\) |
1.00000 | 6.46660e-5i | \(-2.05838e-5\pi\) | ||||||||
\(30\) | 11.3008 | − | 19.5735i | 0.0687744 | − | 0.119121i | ||||
\(31\) | −18.7574 | − | 32.4889i | −0.108675 | − | 0.188231i | 0.806558 | − | 0.591154i | \(-0.201328\pi\) |
−0.915234 | + | 0.402923i | \(0.867994\pi\) | |||||||
\(32\) | 30.0702 | + | 10.9446i | 0.166116 | + | 0.0604612i | ||||
\(33\) | −4.46206 | + | 25.3056i | −0.0235377 | + | 0.133489i | ||||
\(34\) | −24.8165 | − | 140.741i | −0.125176 | − | 0.709909i | ||||
\(35\) | −387.156 | + | 140.913i | −1.86975 | + | 0.680534i | ||||
\(36\) | −81.4912 | − | 68.3793i | −0.377274 | − | 0.316571i | ||||
\(37\) | 132.700 | 0.589616 | 0.294808 | − | 0.955557i | \(-0.404744\pi\) | ||||
0.294808 | + | 0.955557i | \(0.404744\pi\) | |||||||
\(38\) | 110.100 | + | 123.750i | 0.470014 | + | 0.528287i | ||||
\(39\) | −39.3174 | −0.161431 | ||||||||
\(40\) | −108.798 | − | 91.2926i | −0.430063 | − | 0.360866i | ||||
\(41\) | 110.328 | − | 40.1561i | 0.420252 | − | 0.152959i | −0.123233 | − | 0.992378i | \(-0.539326\pi\) |
0.543486 | + | 0.839418i | \(0.317104\pi\) | |||||||
\(42\) | −5.13042 | − | 29.0961i | −0.0188486 | − | 0.106896i | ||||
\(43\) | 30.8395 | − | 174.900i | 0.109372 | − | 0.620277i | −0.880012 | − | 0.474951i | \(-0.842466\pi\) |
0.989384 | − | 0.145326i | \(-0.0464232\pi\) | |||||||
\(44\) | 151.733 | + | 55.2264i | 0.519878 | + | 0.189220i | ||||
\(45\) | 236.072 | + | 408.889i | 0.782035 | + | 1.35452i | ||||
\(46\) | 128.287 | − | 222.199i | 0.411193 | − | 0.712207i | ||||
\(47\) | −1.88094 | + | 1.57830i | −0.00583752 | + | 0.00489826i | −0.645702 | − | 0.763590i | \(-0.723435\pi\) |
0.639864 | + | 0.768488i | \(0.278991\pi\) | |||||||
\(48\) | 7.80197 | − | 6.54663i | 0.0234608 | − | 0.0196859i | ||||
\(49\) | −97.7865 | + | 169.371i | −0.285092 | + | 0.493794i | ||||
\(50\) | 190.178 | + | 329.399i | 0.537906 | + | 0.931680i | ||||
\(51\) | −42.7421 | − | 15.5568i | −0.117355 | − | 0.0427136i | ||||
\(52\) | −42.9027 | + | 243.313i | −0.114414 | + | 0.648875i | ||||
\(53\) | 18.5646 | + | 105.285i | 0.0481140 | + | 0.272868i | 0.999368 | − | 0.0355398i | \(-0.0113150\pi\) |
−0.951254 | + | 0.308408i | \(0.900204\pi\) | |||||||
\(54\) | −64.1164 | + | 23.3365i | −0.161577 | + | 0.0588091i | ||||
\(55\) | −548.993 | − | 460.660i | −1.34593 | − | 1.12937i | ||||
\(56\) | −185.657 | −0.443027 | ||||||||
\(57\) | 51.6305 | − | 10.6540i | 0.119976 | − | 0.0247570i | ||||
\(58\) | −478.558 | −1.08341 | ||||||||
\(59\) | 188.629 | + | 158.278i | 0.416226 | + | 0.349255i | 0.826725 | − | 0.562606i | \(-0.190201\pi\) |
−0.410499 | + | 0.911861i | \(0.634645\pi\) | |||||||
\(60\) | −42.4771 | + | 15.4604i | −0.0913961 | + | 0.0332655i | ||||
\(61\) | 108.693 | + | 616.431i | 0.228144 | + | 1.29387i | 0.856583 | + | 0.516009i | \(0.172583\pi\) |
−0.628440 | + | 0.777858i | \(0.716306\pi\) | |||||||
\(62\) | −13.0288 | + | 73.8899i | −0.0266880 | + | 0.151355i | ||||
\(63\) | 579.969 | + | 211.092i | 1.15983 | + | 0.422143i | ||||
\(64\) | −32.0000 | − | 55.4256i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 548.280 | − | 949.649i | 1.04624 | − | 1.81215i | ||||
\(66\) | 39.3685 | − | 33.0341i | 0.0734232 | − | 0.0616094i | ||||
\(67\) | −139.765 | + | 117.277i | −0.254851 | + | 0.213846i | −0.761258 | − | 0.648449i | \(-0.775418\pi\) |
0.506407 | + | 0.862295i | \(0.330973\pi\) | |||||||
\(68\) | −142.912 | + | 247.531i | −0.254863 | + | 0.441435i | ||||
\(69\) | −40.8303 | − | 70.7202i | −0.0712376 | − | 0.123387i | ||||
\(70\) | 774.313 | + | 281.827i | 1.32212 | + | 0.481211i | ||||
\(71\) | 174.640 | − | 990.431i | 0.291914 | − | 1.65553i | −0.387571 | − | 0.921840i | \(-0.626686\pi\) |
0.679486 | − | 0.733689i | \(-0.262203\pi\) | |||||||
\(72\) | 36.9451 | + | 209.526i | 0.0604726 | + | 0.342957i | ||||
\(73\) | −366.891 | + | 133.538i | −0.588238 | + | 0.214101i | −0.618954 | − | 0.785427i | \(-0.712443\pi\) |
0.0307162 | + | 0.999528i | \(0.490221\pi\) | |||||||
\(74\) | −203.309 | − | 170.596i | −0.319380 | − | 0.267992i | ||||
\(75\) | 121.057 | 0.186380 | ||||||||
\(76\) | −9.59275 | − | 331.137i | −0.0144785 | − | 0.499790i | ||||
\(77\) | −936.822 | −1.38650 | ||||||||
\(78\) | 60.2377 | + | 50.5455i | 0.0874434 | + | 0.0733737i | ||||
\(79\) | −823.020 | + | 299.555i | −1.17211 | + | 0.426615i | −0.853410 | − | 0.521240i | \(-0.825470\pi\) |
−0.318704 | + | 0.947854i | \(0.603248\pi\) | |||||||
\(80\) | 49.3251 | + | 279.737i | 0.0689340 | + | 0.390944i | ||||
\(81\) | 120.919 | − | 685.765i | 0.165869 | − | 0.940692i | ||||
\(82\) | −220.656 | − | 80.3122i | −0.297163 | − | 0.108159i | ||||
\(83\) | 216.263 | + | 374.579i | 0.286000 | + | 0.495367i | 0.972851 | − | 0.231432i | \(-0.0743409\pi\) |
−0.686851 | + | 0.726798i | \(0.741008\pi\) | |||||||
\(84\) | −29.5449 | + | 51.1733i | −0.0383764 | + | 0.0664698i | ||||
\(85\) | 971.788 | − | 815.427i | 1.24006 | − | 1.04054i | ||||
\(86\) | −272.095 | + | 228.315i | −0.341172 | + | 0.286277i | ||||
\(87\) | −76.1561 | + | 131.906i | −0.0938482 | + | 0.162550i | ||||
\(88\) | −161.471 | − | 279.676i | −0.195601 | − | 0.338791i | ||||
\(89\) | 361.999 | + | 131.757i | 0.431145 | + | 0.156924i | 0.548471 | − | 0.836170i | \(-0.315210\pi\) |
−0.117326 | + | 0.993093i | \(0.537432\pi\) | |||||||
\(90\) | 163.974 | − | 929.943i | 0.192049 | − | 1.08916i | ||||
\(91\) | −248.913 | − | 1411.65i | −0.286738 | − | 1.62617i | ||||
\(92\) | −482.201 | + | 175.507i | −0.546445 | + | 0.198890i | ||||
\(93\) | 18.2931 | + | 15.3498i | 0.0203969 | + | 0.0171150i | ||||
\(94\) | 4.91079 | 0.00538840 | ||||||||
\(95\) | −462.656 | + | 1395.62i | −0.499658 | + | 1.50724i | ||||
\(96\) | −20.3695 | −0.0216558 | ||||||||
\(97\) | 718.821 | + | 603.163i | 0.752425 | + | 0.631360i | 0.936143 | − | 0.351619i | \(-0.114369\pi\) |
−0.183718 | + | 0.982979i | \(0.558813\pi\) | |||||||
\(98\) | 367.557 | − | 133.780i | 0.378866 | − | 0.137896i | ||||
\(99\) | 186.424 | + | 1057.26i | 0.189256 | + | 1.07332i | ||||
\(100\) | 132.096 | − | 749.156i | 0.132096 | − | 0.749156i | ||||
\(101\) | −1510.26 | − | 549.688i | −1.48788 | − | 0.541545i | −0.534991 | − | 0.844858i | \(-0.679685\pi\) |
−0.952891 | + | 0.303313i | \(0.901907\pi\) | |||||||
\(102\) | 45.4852 | + | 78.7826i | 0.0441540 | + | 0.0764769i | ||||
\(103\) | −239.474 | + | 414.782i | −0.229088 | + | 0.396793i | −0.957538 | − | 0.288306i | \(-0.906908\pi\) |
0.728450 | + | 0.685099i | \(0.240241\pi\) | |||||||
\(104\) | 378.528 | − | 317.623i | 0.356901 | − | 0.299476i | ||||
\(105\) | 200.902 | − | 168.577i | 0.186724 | − | 0.156680i | ||||
\(106\) | 106.909 | − | 185.172i | 0.0979616 | − | 0.169674i | ||||
\(107\) | 505.831 | + | 876.125i | 0.457014 | + | 0.791572i | 0.998802 | − | 0.0489439i | \(-0.0155856\pi\) |
−0.541787 | + | 0.840516i | \(0.682252\pi\) | |||||||
\(108\) | 128.233 | + | 46.6729i | 0.114252 | + | 0.0415843i | ||||
\(109\) | −346.141 | + | 1963.06i | −0.304168 | + | 1.72502i | 0.323227 | + | 0.946322i | \(0.395232\pi\) |
−0.627395 | + | 0.778701i | \(0.715879\pi\) | |||||||
\(110\) | 248.893 | + | 1411.54i | 0.215737 | + | 1.22350i | ||||
\(111\) | −79.3758 | + | 28.8904i | −0.0678740 | + | 0.0247041i | ||||
\(112\) | 284.444 | + | 238.677i | 0.239977 | + | 0.201364i | ||||
\(113\) | −357.926 | −0.297972 | −0.148986 | − | 0.988839i | \(-0.547601\pi\) | ||||
−0.148986 | + | 0.988839i | \(0.547601\pi\) | |||||||
\(114\) | −92.7989 | − | 50.0520i | −0.0762405 | − | 0.0411211i | ||||
\(115\) | 2277.51 | 1.84677 | ||||||||
\(116\) | 733.193 | + | 615.222i | 0.586856 | + | 0.492431i | ||||
\(117\) | −1543.61 | + | 561.827i | −1.21971 | + | 0.443940i | ||||
\(118\) | −85.5173 | − | 484.993i | −0.0667161 | − | 0.378366i | ||||
\(119\) | 287.960 | − | 1633.10i | 0.221826 | − | 1.25804i | ||||
\(120\) | 84.9541 | + | 30.9208i | 0.0646268 | + | 0.0235222i | ||||
\(121\) | −149.278 | − | 258.557i | −0.112155 | − | 0.194258i | ||||
\(122\) | 625.940 | − | 1084.16i | 0.464508 | − | 0.804552i | ||||
\(123\) | −57.2512 | + | 48.0395i | −0.0419688 | + | 0.0352160i | ||||
\(124\) | 114.952 | − | 96.4564i | 0.0832502 | − | 0.0698552i | ||||
\(125\) | −578.564 | + | 1002.10i | −0.413987 | + | 0.717046i | ||||
\(126\) | −617.190 | − | 1069.01i | −0.436379 | − | 0.755830i | ||||
\(127\) | 2649.36 | + | 964.290i | 1.85113 | + | 0.673755i | 0.984651 | + | 0.174535i | \(0.0558423\pi\) |
0.866476 | + | 0.499220i | \(0.166380\pi\) | |||||||
\(128\) | −22.2270 | + | 126.055i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | 19.6308 | + | 111.332i | 0.0133984 | + | 0.0759862i | ||||
\(130\) | −2060.86 | + | 750.091i | −1.39038 | + | 0.506057i | ||||
\(131\) | −1677.08 | − | 1407.23i | −1.11853 | − | 0.938555i | −0.119997 | − | 0.992774i | \(-0.538289\pi\) |
−0.998529 | + | 0.0542194i | \(0.982733\pi\) | |||||||
\(132\) | −102.784 | −0.0677742 | ||||||||
\(133\) | 709.385 | + | 1786.29i | 0.462492 | + | 1.16460i | ||||
\(134\) | 364.901 | 0.235244 | ||||||||
\(135\) | −463.965 | − | 389.313i | −0.295791 | − | 0.248198i | ||||
\(136\) | 537.174 | − | 195.515i | 0.338694 | − | 0.123274i | ||||
\(137\) | −308.492 | − | 1749.55i | −0.192382 | − | 1.09105i | −0.916098 | − | 0.400953i | \(-0.868679\pi\) |
0.723717 | − | 0.690097i | \(-0.242432\pi\) | |||||||
\(138\) | −28.3604 | + | 160.840i | −0.0174942 | + | 0.0992146i | ||||
\(139\) | −1039.64 | − | 378.396i | −0.634394 | − | 0.230900i | 0.00474878 | − | 0.999989i | \(-0.498488\pi\) |
−0.639143 | + | 0.769088i | \(0.720711\pi\) | |||||||
\(140\) | −824.006 | − | 1427.22i | −0.497437 | − | 0.861587i | ||||
\(141\) | 0.781487 | − | 1.35357i | 0.000466759 | − | 0.000808451i | ||||
\(142\) | −1540.84 | + | 1292.92i | −0.910593 | + | 0.764078i | ||||
\(143\) | 1910.04 | − | 1602.72i | 1.11696 | − | 0.937244i | ||||
\(144\) | 212.758 | − | 368.508i | 0.123124 | − | 0.213257i | ||||
\(145\) | −2123.99 | − | 3678.86i | −1.21647 | − | 2.10698i | ||||
\(146\) | 733.783 | + | 267.075i | 0.415947 | + | 0.151392i | ||||
\(147\) | 21.6177 | − | 122.600i | 0.0121292 | − | 0.0687884i | ||||
\(148\) | 92.1726 | + | 522.737i | 0.0511929 | + | 0.290329i | ||||
\(149\) | 440.886 | − | 160.470i | 0.242408 | − | 0.0882294i | −0.217959 | − | 0.975958i | \(-0.569940\pi\) |
0.460367 | + | 0.887729i | \(0.347718\pi\) | |||||||
\(150\) | −185.471 | − | 155.628i | −0.100957 | − | 0.0847134i | ||||
\(151\) | 424.546 | 0.228802 | 0.114401 | − | 0.993435i | \(-0.463505\pi\) | ||||
0.114401 | + | 0.993435i | \(0.463505\pi\) | |||||||
\(152\) | −411.005 | + | 519.664i | −0.219322 | + | 0.277305i | ||||
\(153\) | −1900.36 | −1.00415 | ||||||||
\(154\) | 1435.29 | + | 1204.36i | 0.751035 | + | 0.630193i | ||||
\(155\) | −625.846 | + | 227.789i | −0.324317 | + | 0.118042i | ||||
\(156\) | −27.3096 | − | 154.880i | −0.0140161 | − | 0.0794894i | ||||
\(157\) | 4.28580 | − | 24.3060i | 0.00217862 | − | 0.0123556i | −0.983699 | − | 0.179823i | \(-0.942448\pi\) |
0.985878 | + | 0.167467i | \(0.0535588\pi\) | |||||||
\(158\) | 1646.04 | + | 599.110i | 0.828810 | + | 0.301662i | ||||
\(159\) | −34.0263 | − | 58.9353i | −0.0169715 | − | 0.0293954i | ||||
\(160\) | 284.052 | − | 491.993i | 0.140352 | − | 0.243097i | ||||
\(161\) | 2280.65 | − | 1913.69i | 1.11640 | − | 0.936771i | ||||
\(162\) | −1066.86 | + | 895.202i | −0.517410 | + | 0.434159i | ||||
\(163\) | −457.413 | + | 792.263i | −0.219800 | + | 0.380704i | −0.954747 | − | 0.297420i | \(-0.903874\pi\) |
0.734947 | + | 0.678125i | \(0.237207\pi\) | |||||||
\(164\) | 234.817 | + | 406.715i | 0.111806 | + | 0.193653i | ||||
\(165\) | 428.676 | + | 156.025i | 0.202257 | + | 0.0736155i | ||||
\(166\) | 150.215 | − | 851.912i | 0.0702346 | − | 0.398320i | ||||
\(167\) | 235.311 | + | 1334.52i | 0.109036 | + | 0.618371i | 0.989531 | + | 0.144318i | \(0.0460987\pi\) |
−0.880496 | + | 0.474054i | \(0.842790\pi\) | |||||||
\(168\) | 111.053 | − | 40.4198i | 0.0509993 | − | 0.0185622i | ||||
\(169\) | 1239.55 | + | 1040.11i | 0.564203 | + | 0.473423i | ||||
\(170\) | −2537.16 | −1.14465 | ||||||||
\(171\) | 1874.78 | − | 1156.05i | 0.838410 | − | 0.516991i | ||||
\(172\) | 710.391 | 0.314923 | ||||||||
\(173\) | −816.580 | − | 685.192i | −0.358864 | − | 0.301122i | 0.445474 | − | 0.895295i | \(-0.353035\pi\) |
−0.804338 | + | 0.594172i | \(0.797480\pi\) | |||||||
\(174\) | 286.253 | − | 104.188i | 0.124717 | − | 0.0453934i | ||||
\(175\) | 766.397 | + | 4346.45i | 0.331052 | + | 1.87749i | ||||
\(176\) | −112.157 | + | 636.072i | −0.0480348 | + | 0.272419i | ||||
\(177\) | −147.289 | − | 53.6088i | −0.0625475 | − | 0.0227654i | ||||
\(178\) | −385.232 | − | 667.241i | −0.162215 | − | 0.280965i | ||||
\(179\) | −886.986 | + | 1536.31i | −0.370371 | + | 0.641502i | −0.989623 | − | 0.143691i | \(-0.954103\pi\) |
0.619251 | + | 0.785193i | \(0.287436\pi\) | |||||||
\(180\) | −1446.73 | + | 1213.95i | −0.599074 | + | 0.502682i | ||||
\(181\) | −153.258 | + | 128.598i | −0.0629368 | + | 0.0528102i | −0.673713 | − | 0.738993i | \(-0.735302\pi\) |
0.610777 | + | 0.791803i | \(0.290857\pi\) | |||||||
\(182\) | −1433.43 | + | 2482.77i | −0.583807 | + | 1.01118i | ||||
\(183\) | −199.220 | − | 345.060i | −0.0804742 | − | 0.139385i | ||||
\(184\) | 964.402 | + | 351.014i | 0.386395 | + | 0.140636i | ||||
\(185\) | 409.091 | − | 2320.07i | 0.162578 | − | 0.922027i | ||||
\(186\) | −8.29343 | − | 47.0344i | −0.00326938 | − | 0.0185416i | ||||
\(187\) | 2710.57 | − | 986.565i | 1.05998 | − | 0.385801i | ||||
\(188\) | −7.52376 | − | 6.31319i | −0.00291876 | − | 0.00244913i | ||||
\(189\) | −791.727 | −0.304707 | ||||||||
\(190\) | 2503.01 | − | 1543.44i | 0.955722 | − | 0.589329i | ||||
\(191\) | 1564.26 | 0.592597 | 0.296298 | − | 0.955095i | \(-0.404248\pi\) | ||||
0.296298 | + | 0.955095i | \(0.404248\pi\) | |||||||
\(192\) | 31.2079 | + | 26.1865i | 0.0117304 | + | 0.00984297i | ||||
\(193\) | −1741.72 | + | 633.933i | −0.649593 | + | 0.236433i | −0.645737 | − | 0.763560i | \(-0.723450\pi\) |
−0.00385640 | + | 0.999993i | \(0.501228\pi\) | |||||||
\(194\) | −325.887 | − | 1848.20i | −0.120605 | − | 0.683984i | ||||
\(195\) | −121.209 | + | 687.408i | −0.0445124 | + | 0.252442i | ||||
\(196\) | −735.114 | − | 267.560i | −0.267899 | − | 0.0975072i | ||||
\(197\) | 2504.47 | + | 4337.86i | 0.905766 | + | 1.56883i | 0.819886 | + | 0.572527i | \(0.194037\pi\) |
0.0858799 | + | 0.996305i | \(0.472630\pi\) | |||||||
\(198\) | 1073.57 | − | 1859.48i | 0.385331 | − | 0.667413i | ||||
\(199\) | −1486.06 | + | 1246.95i | −0.529365 | + | 0.444190i | −0.867882 | − | 0.496770i | \(-0.834519\pi\) |
0.338517 | + | 0.940960i | \(0.390075\pi\) | |||||||
\(200\) | −1165.48 | + | 977.954i | −0.412060 | + | 0.345759i | ||||
\(201\) | 58.0691 | − | 100.579i | 0.0203775 | − | 0.0352949i | ||||
\(202\) | 1607.18 | + | 2783.72i | 0.559806 | + | 0.969613i | ||||
\(203\) | −5218.10 | − | 1899.23i | −1.80413 | − | 0.656651i | ||||
\(204\) | 31.5937 | − | 179.177i | 0.0108431 | − | 0.0614945i | ||||
\(205\) | −361.950 | − | 2052.72i | −0.123316 | − | 0.699357i | ||||
\(206\) | 900.129 | − | 327.620i | 0.304442 | − | 0.110808i | ||||
\(207\) | −2613.56 | − | 2193.04i | −0.877562 | − | 0.736362i | ||||
\(208\) | −988.267 | −0.329442 | ||||||||
\(209\) | −2073.92 | + | 2622.21i | −0.686392 | + | 0.867857i | ||||
\(210\) | −524.519 | −0.172358 | ||||||||
\(211\) | 2551.96 | + | 2141.35i | 0.832627 | + | 0.698657i | 0.955892 | − | 0.293717i | \(-0.0948923\pi\) |
−0.123266 | + | 0.992374i | \(0.539337\pi\) | |||||||
\(212\) | −401.847 | + | 146.260i | −0.130184 | + | 0.0473830i | ||||
\(213\) | 111.166 | + | 630.456i | 0.0357605 | + | 0.202808i | ||||
\(214\) | 351.346 | − | 1992.58i | 0.112232 | − | 0.636497i | ||||
\(215\) | −2962.79 | − | 1078.37i | −0.939817 | − | 0.342066i | ||||
\(216\) | −136.462 | − | 236.360i | −0.0429865 | − | 0.0744549i | ||||
\(217\) | −435.307 | + | 753.975i | −0.136178 | + | 0.235867i | ||||
\(218\) | 3053.99 | − | 2562.60i | 0.948817 | − | 0.796152i | ||||
\(219\) | 190.386 | − | 159.753i | 0.0587449 | − | 0.0492928i | ||||
\(220\) | 1433.32 | − | 2482.58i | 0.439247 | − | 0.760798i | ||||
\(221\) | 2206.80 | + | 3822.30i | 0.671700 | + | 1.16342i | ||||
\(222\) | 158.752 | + | 57.7808i | 0.0479942 | + | 0.0174684i | ||||
\(223\) | 891.366 | − | 5055.19i | 0.267670 | − | 1.51803i | −0.493655 | − | 0.869658i | \(-0.664339\pi\) |
0.761324 | − | 0.648371i | \(-0.224550\pi\) | |||||||
\(224\) | −128.956 | − | 731.347i | −0.0384654 | − | 0.218148i | ||||
\(225\) | 4752.74 | − | 1729.85i | 1.40822 | − | 0.512549i | ||||
\(226\) | 548.375 | + | 460.141i | 0.161404 | + | 0.135434i | ||||
\(227\) | 3105.12 | 0.907903 | 0.453952 | − | 0.891026i | \(-0.350014\pi\) | ||||
0.453952 | + | 0.891026i | \(0.350014\pi\) | |||||||
\(228\) | 77.8305 | + | 195.984i | 0.0226072 | + | 0.0569271i | ||||
\(229\) | −2342.07 | −0.675844 | −0.337922 | − | 0.941174i | \(-0.609724\pi\) | ||||
−0.337922 | + | 0.941174i | \(0.609724\pi\) | |||||||
\(230\) | −3489.35 | − | 2927.91i | −1.00035 | − | 0.839395i | ||||
\(231\) | 560.368 | − | 203.957i | 0.159608 | − | 0.0580926i | ||||
\(232\) | −332.403 | − | 1885.15i | −0.0940660 | − | 0.533475i | ||||
\(233\) | 182.009 | − | 1032.22i | 0.0511750 | − | 0.290228i | −0.948470 | − | 0.316867i | \(-0.897369\pi\) |
0.999645 | + | 0.0266387i | \(0.00848035\pi\) | |||||||
\(234\) | 3087.22 | + | 1123.65i | 0.862468 | + | 0.313913i | ||||
\(235\) | 21.7956 | + | 37.7511i | 0.00605017 | + | 0.0104792i | ||||
\(236\) | −492.474 | + | 852.991i | −0.135836 | + | 0.235275i | ||||
\(237\) | 427.080 | − | 358.363i | 0.117054 | − | 0.0982201i | ||||
\(238\) | −2540.66 | + | 2131.86i | −0.691959 | + | 0.580622i | ||||
\(239\) | −1624.69 | + | 2814.05i | −0.439719 | + | 0.761615i | −0.997668 | − | 0.0682602i | \(-0.978255\pi\) |
0.557949 | + | 0.829875i | \(0.311589\pi\) | |||||||
\(240\) | −90.4063 | − | 156.588i | −0.0243154 | − | 0.0421155i | ||||
\(241\) | −6195.30 | − | 2254.90i | −1.65591 | − | 0.602702i | −0.666198 | − | 0.745775i | \(-0.732079\pi\) |
−0.989712 | + | 0.143073i | \(0.954302\pi\) | |||||||
\(242\) | −103.688 | + | 588.041i | −0.0275425 | + | 0.156201i | ||||
\(243\) | 236.922 | + | 1343.65i | 0.0625454 | + | 0.354712i | ||||
\(244\) | −2352.77 | + | 856.337i | −0.617297 | + | 0.224678i | ||||
\(245\) | 2659.75 | + | 2231.80i | 0.693573 | + | 0.581977i | ||||
\(246\) | 149.472 | 0.0387398 | ||||||||
\(247\) | −4502.32 | − | 2428.37i | −1.15982 | − | 0.625562i | ||||
\(248\) | −300.119 | −0.0768451 | ||||||||
\(249\) | −210.910 | − | 176.975i | −0.0536783 | − | 0.0450414i | ||||
\(250\) | 2174.69 | − | 791.522i | 0.550158 | − | 0.200241i | ||||
\(251\) | −833.345 | − | 4726.13i | −0.209563 | − | 1.18849i | −0.890096 | − | 0.455772i | \(-0.849363\pi\) |
0.680534 | − | 0.732717i | \(-0.261748\pi\) | |||||||
\(252\) | −428.696 | + | 2431.26i | −0.107164 | + | 0.607757i | ||||
\(253\) | 4866.35 | + | 1771.20i | 1.20927 | + | 0.440137i | ||||
\(254\) | −2819.39 | − | 4883.33i | −0.696475 | − | 1.20633i | ||||
\(255\) | −403.755 | + | 699.324i | −0.0991534 | + | 0.171739i | ||||
\(256\) | 196.107 | − | 164.554i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 1204.85 | − | 1010.99i | 0.292439 | − | 0.245385i | −0.484750 | − | 0.874653i | \(-0.661089\pi\) |
0.777189 | + | 0.629268i | \(0.216645\pi\) | |||||||
\(258\) | 113.049 | − | 195.807i | 0.0272796 | − | 0.0472497i | ||||
\(259\) | −1539.80 | − | 2667.01i | −0.369415 | − | 0.639845i | ||||
\(260\) | 4121.72 | + | 1500.18i | 0.983147 | + | 0.357836i | ||||
\(261\) | −1105.02 | + | 6266.90i | −0.262066 | + | 1.48625i | ||||
\(262\) | 760.325 | + | 4312.02i | 0.179286 | + | 1.01678i | ||||
\(263\) | −1923.34 | + | 700.038i | −0.450943 | + | 0.164130i | −0.557500 | − | 0.830177i | \(-0.688240\pi\) |
0.106557 | + | 0.994307i | \(0.466017\pi\) | |||||||
\(264\) | 157.474 | + | 132.136i | 0.0367116 | + | 0.0308047i | ||||
\(265\) | 1897.99 | 0.439971 | ||||||||
\(266\) | 1209.57 | − | 3648.73i | 0.278811 | − | 0.841045i | ||||
\(267\) | −245.218 | −0.0562064 | ||||||||
\(268\) | −559.061 | − | 469.108i | −0.127426 | − | 0.106923i | ||||
\(269\) | 5831.73 | − | 2122.58i | 1.32181 | − | 0.481100i | 0.417772 | − | 0.908552i | \(-0.362811\pi\) |
0.904038 | + | 0.427452i | \(0.140589\pi\) | |||||||
\(270\) | 210.345 | + | 1192.92i | 0.0474117 | + | 0.268885i | ||||
\(271\) | −576.949 | + | 3272.04i | −0.129325 | + | 0.733440i | 0.849319 | + | 0.527880i | \(0.177013\pi\) |
−0.978644 | + | 0.205561i | \(0.934098\pi\) | |||||||
\(272\) | −1074.35 | − | 391.031i | −0.239492 | − | 0.0871681i | ||||
\(273\) | 456.223 | + | 790.201i | 0.101142 | + | 0.175184i | ||||
\(274\) | −1776.54 | + | 3077.05i | −0.391695 | + | 0.678436i | ||||
\(275\) | −5880.98 | + | 4934.73i | −1.28959 | + | 1.08209i | ||||
\(276\) | 250.223 | − | 209.962i | 0.0545712 | − | 0.0457906i | ||||
\(277\) | 3769.88 | − | 6529.62i | 0.817726 | − | 1.41634i | −0.0896279 | − | 0.995975i | \(-0.528568\pi\) |
0.907354 | − | 0.420368i | \(-0.138099\pi\) | |||||||
\(278\) | 1106.36 | + | 1916.27i | 0.238687 | + | 0.413417i | ||||
\(279\) | 937.533 | + | 341.234i | 0.201178 | + | 0.0732227i | ||||
\(280\) | −572.349 | + | 3245.95i | −0.122158 | + | 0.692795i | ||||
\(281\) | −757.419 | − | 4295.54i | −0.160797 | − | 0.911923i | −0.953293 | − | 0.302047i | \(-0.902330\pi\) |
0.792497 | − | 0.609876i | \(-0.208781\pi\) | |||||||
\(282\) | −2.93743 | + | 1.06914i | −0.000620289 | + | 0.000225767i | ||||
\(283\) | 3833.08 | + | 3216.33i | 0.805133 | + | 0.675587i | 0.949441 | − | 0.313946i | \(-0.101651\pi\) |
−0.144308 | + | 0.989533i | \(0.546095\pi\) | |||||||
\(284\) | 4022.84 | 0.840534 | ||||||||
\(285\) | −27.1014 | − | 935.528i | −0.00563280 | − | 0.194442i | ||||
\(286\) | −4986.77 | −1.03103 | ||||||||
\(287\) | −2087.26 | − | 1751.42i | −0.429293 | − | 0.360219i | ||||
\(288\) | −799.710 | + | 291.071i | −0.163623 | + | 0.0595538i | ||||
\(289\) | 33.5103 | + | 190.046i | 0.00682074 | + | 0.0386823i | ||||
\(290\) | −1475.31 | + | 8366.89i | −0.298735 | + | 1.69421i | ||||
\(291\) | −561.285 | − | 204.291i | −0.113069 | − | 0.0411538i | ||||
\(292\) | −780.875 | − | 1352.52i | −0.156497 | − | 0.271062i | ||||
\(293\) | −1903.08 | + | 3296.24i | −0.379451 | + | 0.657229i | −0.990983 | − | 0.133991i | \(-0.957221\pi\) |
0.611531 | + | 0.791220i | \(0.290554\pi\) | |||||||
\(294\) | −190.732 | + | 160.043i | −0.0378358 | + | 0.0317480i | ||||
\(295\) | 3348.77 | − | 2809.95i | 0.660926 | − | 0.554583i | ||||
\(296\) | 530.801 | − | 919.374i | 0.104230 | − | 0.180532i | ||||
\(297\) | −688.585 | − | 1192.67i | −0.134531 | − | 0.233015i | ||||
\(298\) | −881.773 | − | 320.939i | −0.171409 | − | 0.0623876i | ||||
\(299\) | −1375.96 | + | 7803.48i | −0.266134 | + | 1.50932i | ||||
\(300\) | 84.0856 | + | 476.873i | 0.0161823 | + | 0.0917743i | ||||
\(301\) | −3872.98 | + | 1409.65i | −0.741644 | + | 0.269936i | ||||
\(302\) | −650.442 | − | 545.786i | −0.123936 | − | 0.103995i | ||||
\(303\) | 1023.05 | 0.193969 | ||||||||
\(304\) | 1297.76 | − | 267.794i | 0.244842 | − | 0.0505231i | ||||
\(305\) | 11112.5 | 2.08623 | ||||||||
\(306\) | 2911.52 | + | 2443.06i | 0.543924 | + | 0.456406i | ||||
\(307\) | 1280.76 | − | 466.159i | 0.238101 | − | 0.0866615i | −0.220214 | − | 0.975452i | \(-0.570676\pi\) |
0.458315 | + | 0.888790i | \(0.348453\pi\) | |||||||
\(308\) | −650.710 | − | 3690.36i | −0.120382 | − | 0.682720i | ||||
\(309\) | 52.9407 | − | 300.242i | 0.00974657 | − | 0.0552755i | ||||
\(310\) | 1251.69 | + | 455.579i | 0.229327 | + | 0.0834682i | ||||
\(311\) | 3539.59 | + | 6130.76i | 0.645376 | + | 1.11782i | 0.984215 | + | 0.176979i | \(0.0566326\pi\) |
−0.338839 | + | 0.940845i | \(0.610034\pi\) | |||||||
\(312\) | −157.270 | + | 272.399i | −0.0285373 | + | 0.0494281i | ||||
\(313\) | −229.568 | + | 192.631i | −0.0414568 | + | 0.0347864i | −0.663281 | − | 0.748371i | \(-0.730836\pi\) |
0.621824 | + | 0.783157i | \(0.286392\pi\) | |||||||
\(314\) | −37.8134 | + | 31.7292i | −0.00679596 | + | 0.00570249i | ||||
\(315\) | 5478.57 | − | 9489.16i | 0.979945 | − | 1.69731i | ||||
\(316\) | −1751.68 | − | 3034.00i | −0.311835 | − | 0.540113i | ||||
\(317\) | −370.149 | − | 134.723i | −0.0655824 | − | 0.0238700i | 0.309021 | − | 0.951055i | \(-0.399999\pi\) |
−0.374603 | + | 0.927185i | \(0.622221\pi\) | |||||||
\(318\) | −23.6344 | + | 134.038i | −0.00416778 | + | 0.0236366i | ||||
\(319\) | −1677.30 | − | 9512.41i | −0.294390 | − | 1.66957i | ||||
\(320\) | −1067.69 | + | 388.606i | −0.186517 | + | 0.0678867i | ||||
\(321\) | −493.310 | − | 413.936i | −0.0857753 | − | 0.0719740i | ||||
\(322\) | −5954.36 | −1.03051 | ||||||||
\(323\) | −3933.65 | − | 4421.35i | −0.677629 | − | 0.761642i | ||||
\(324\) | 2785.37 | 0.477602 | ||||||||
\(325\) | −8998.48 | − | 7550.62i | −1.53583 | − | 1.28872i | ||||
\(326\) | 1719.31 | − | 625.778i | 0.292098 | − | 0.106315i | ||||
\(327\) | −220.335 | − | 1249.58i | −0.0372617 | − | 0.211321i | ||||
\(328\) | 163.102 | − | 925.000i | 0.0274568 | − | 0.155715i | ||||
\(329\) | 53.5463 | + | 19.4893i | 0.00897296 | + | 0.00326589i | ||||
\(330\) | −456.187 | − | 790.140i | −0.0760979 | − | 0.131805i | ||||
\(331\) | −2539.57 | + | 4398.67i | −0.421714 | + | 0.730431i | −0.996107 | − | 0.0881491i | \(-0.971905\pi\) |
0.574393 | + | 0.818580i | \(0.305238\pi\) | |||||||
\(332\) | −1325.34 | + | 1112.09i | −0.219089 | + | 0.183837i | ||||
\(333\) | −2703.48 | + | 2268.49i | −0.444894 | + | 0.373310i | ||||
\(334\) | 1355.10 | − | 2347.11i | 0.222000 | − | 0.384515i | ||||
\(335\) | 1619.55 | + | 2805.14i | 0.264135 | + | 0.457495i | ||||
\(336\) | −222.105 | − | 80.8397i | −0.0360620 | − | 0.0131255i | ||||
\(337\) | −547.927 | + | 3107.45i | −0.0885681 | + | 0.502295i | 0.907961 | + | 0.419054i | \(0.137638\pi\) |
−0.996529 | + | 0.0832409i | \(0.973473\pi\) | |||||||
\(338\) | −561.969 | − | 3187.08i | −0.0904351 | − | 0.512883i | ||||
\(339\) | 214.097 | − | 77.9248i | 0.0343013 | − | 0.0124846i | ||||
\(340\) | 3887.15 | + | 3261.71i | 0.620031 | + | 0.520268i | ||||
\(341\) | −1514.39 | −0.240495 | ||||||||
\(342\) | −4358.52 | − | 638.999i | −0.689128 | − | 0.101032i | ||||
\(343\) | −3421.36 | −0.538590 | ||||||||
\(344\) | −1088.38 | − | 913.260i | −0.170586 | − | 0.143139i | ||||
\(345\) | −1362.31 | + | 495.841i | −0.212593 | + | 0.0773774i | ||||
\(346\) | 370.207 | + | 2099.55i | 0.0575216 | + | 0.326221i | ||||
\(347\) | 298.681 | − | 1693.90i | 0.0462076 | − | 0.262056i | −0.952948 | − | 0.303132i | \(-0.901968\pi\) |
0.999156 | + | 0.0410763i | \(0.0130787\pi\) | |||||||
\(348\) | −572.507 | − | 208.375i | −0.0881885 | − | 0.0320980i | ||||
\(349\) | −3871.68 | − | 6705.95i | −0.593829 | − | 1.02854i | −0.993711 | − | 0.111975i | \(-0.964282\pi\) |
0.399882 | − | 0.916567i | \(-0.369051\pi\) | |||||||
\(350\) | 4413.50 | − | 7644.41i | 0.674033 | − | 1.16746i | ||||
\(351\) | 1614.22 | − | 1354.49i | 0.245471 | − | 0.205975i | ||||
\(352\) | 989.552 | − | 830.333i | 0.149839 | − | 0.125730i | ||||
\(353\) | −567.031 | + | 982.127i | −0.0854958 | + | 0.148083i | −0.905602 | − | 0.424128i | \(-0.860581\pi\) |
0.820107 | + | 0.572211i | \(0.193914\pi\) | |||||||
\(354\) | 156.742 | + | 271.484i | 0.0235331 | + | 0.0407605i | ||||
\(355\) | −16777.9 | − | 6106.64i | −2.50839 | − | 0.912978i | ||||
\(356\) | −267.579 | + | 1517.52i | −0.0398361 | + | 0.225922i | ||||
\(357\) | 183.300 | + | 1039.55i | 0.0271744 | + | 0.154114i | ||||
\(358\) | 3333.98 | − | 1213.47i | 0.492196 | − | 0.179145i | ||||
\(359\) | 7262.61 | + | 6094.05i | 1.06770 | + | 0.895910i | 0.994842 | − | 0.101432i | \(-0.0323424\pi\) |
0.0728618 | + | 0.997342i | \(0.476787\pi\) | |||||||
\(360\) | 3777.16 | 0.552982 | ||||||||
\(361\) | 6570.35 | + | 1968.86i | 0.957916 | + | 0.287048i | ||||
\(362\) | 400.127 | 0.0580946 | ||||||||
\(363\) | 145.583 | + | 122.159i | 0.0210499 | + | 0.0176630i | ||||
\(364\) | 5387.94 | − | 1961.05i | 0.775837 | − | 0.282382i | ||||
\(365\) | 1203.65 | + | 6826.23i | 0.172608 | + | 0.978908i | ||||
\(366\) | −138.377 | + | 784.775i | −0.0197625 | + | 0.112079i | ||||
\(367\) | 1634.18 | + | 594.794i | 0.232435 | + | 0.0845994i | 0.455612 | − | 0.890179i | \(-0.349421\pi\) |
−0.223177 | + | 0.974778i | \(0.571643\pi\) | |||||||
\(368\) | −1026.30 | − | 1777.60i | −0.145379 | − | 0.251803i | ||||
\(369\) | −1561.23 | + | 2704.13i | −0.220256 | + | 0.381494i | ||||
\(370\) | −3609.39 | + | 3028.64i | −0.507144 | + | 0.425544i | ||||
\(371\) | 1900.60 | − | 1594.79i | 0.265968 | − | 0.223174i | ||||
\(372\) | −47.7600 | + | 82.7227i | −0.00665656 | + | 0.0115295i | ||||
\(373\) | 4721.36 | + | 8177.63i | 0.655396 | + | 1.13518i | 0.981794 | + | 0.189946i | \(0.0608314\pi\) |
−0.326399 | + | 0.945232i | \(0.605835\pi\) | |||||||
\(374\) | −5421.13 | − | 1973.13i | −0.749519 | − | 0.272803i | ||||
\(375\) | 127.903 | − | 725.376i | 0.0176131 | − | 0.0998887i | ||||
\(376\) | 3.41100 | + | 19.3447i | 0.000467843 | + | 0.00265327i | ||||
\(377\) | 13888.2 | − | 5054.88i | 1.89729 | − | 0.690555i | ||||
\(378\) | 1213.00 | + | 1017.82i | 0.165052 | + | 0.138495i | ||||
\(379\) | 9980.76 | 1.35271 | 0.676355 | − | 0.736576i | \(-0.263559\pi\) | ||||
0.676355 | + | 0.736576i | \(0.263559\pi\) | |||||||
\(380\) | −5819.03 | − | 853.122i | −0.785553 | − | 0.115169i | ||||
\(381\) | −1794.68 | −0.241323 | ||||||||
\(382\) | −2396.59 | − | 2010.98i | −0.320995 | − | 0.269347i | ||||
\(383\) | 883.253 | − | 321.478i | 0.117838 | − | 0.0428897i | −0.282428 | − | 0.959289i | \(-0.591140\pi\) |
0.400266 | + | 0.916399i | \(0.368918\pi\) | |||||||
\(384\) | −14.1485 | − | 80.2402i | −0.00188024 | − | 0.0106634i | ||||
\(385\) | −2888.05 | + | 16379.0i | −0.382309 | + | 2.16818i | ||||
\(386\) | 3483.43 | + | 1267.87i | 0.459332 | + | 0.167183i | ||||
\(387\) | 2361.59 | + | 4090.39i | 0.310197 | + | 0.537277i | ||||
\(388\) | −1876.71 | + | 3250.56i | −0.245555 | + | 0.425314i | ||||
\(389\) | −2125.47 | + | 1783.48i | −0.277032 | + | 0.232457i | −0.770708 | − | 0.637188i | \(-0.780097\pi\) |
0.493676 | + | 0.869646i | \(0.335653\pi\) | |||||||
\(390\) | 1069.42 | − | 897.347i | 0.138851 | − | 0.116510i | ||||
\(391\) | −4583.44 | + | 7938.76i | −0.592825 | + | 1.02680i | ||||
\(392\) | 782.292 | + | 1354.97i | 0.100795 | + | 0.174582i | ||||
\(393\) | 1309.53 | + | 476.630i | 0.168084 | + | 0.0611776i | ||||
\(394\) | 1739.58 | − | 9865.67i | 0.222434 | − | 1.26149i | ||||
\(395\) | 2700.06 | + | 15312.8i | 0.343936 | + | 1.95056i | ||||
\(396\) | −4035.31 | + | 1468.73i | −0.512076 | + | 0.186380i | ||||
\(397\) | −5167.59 | − | 4336.12i | −0.653284 | − | 0.548171i | 0.254781 | − | 0.966999i | \(-0.417997\pi\) |
−0.908066 | + | 0.418828i | \(0.862441\pi\) | |||||||
\(398\) | 3879.82 | 0.488637 | ||||||||
\(399\) | −813.222 | − | 914.045i | −0.102035 | − | 0.114685i | ||||
\(400\) | 3042.85 | 0.380357 | ||||||||
\(401\) | −5457.04 | − | 4579.00i | −0.679580 | − | 0.570235i | 0.236304 | − | 0.971679i | \(-0.424064\pi\) |
−0.915884 | + | 0.401444i | \(0.868508\pi\) | |||||||
\(402\) | −218.269 | + | 79.4433i | −0.0270802 | + | 0.00985639i | ||||
\(403\) | −402.373 | − | 2281.97i | −0.0497360 | − | 0.282067i | ||||
\(404\) | 1116.34 | − | 6331.06i | 0.137475 | − | 0.779658i | ||||
\(405\) | −11616.8 | − | 4228.18i | −1.42530 | − | 0.518765i | ||||
\(406\) | 5552.99 | + | 9618.06i | 0.678794 | + | 1.17571i | ||||
\(407\) | 2678.41 | − | 4639.14i | 0.326201 | − | 0.564996i | ||||
\(408\) | −278.749 | + | 233.898i | −0.0338239 | + | 0.0283816i | ||||
\(409\) | −8351.58 | + | 7007.81i | −1.00968 | + | 0.847222i | −0.988296 | − | 0.152549i | \(-0.951252\pi\) |
−0.0213843 | + | 0.999771i | \(0.506807\pi\) | |||||||
\(410\) | −2084.39 | + | 3610.26i | −0.251074 | + | 0.434874i | ||||
\(411\) | 565.425 | + | 979.344i | 0.0678597 | + | 0.117536i | ||||
\(412\) | −1800.26 | − | 655.240i | −0.215273 | − | 0.0783528i | ||||
\(413\) | 992.307 | − | 5627.65i | 0.118228 | − | 0.670505i | ||||
\(414\) | 1184.89 | + | 6719.87i | 0.140663 | + | 0.797738i | ||||
\(415\) | 7215.68 | − | 2626.29i | 0.853503 | − | 0.310650i | ||||
\(416\) | 1514.11 | + | 1270.49i | 0.178451 | + | 0.149738i | ||||
\(417\) | 704.248 | 0.0827031 | ||||||||
\(418\) | 6548.48 | − | 1351.28i | 0.766260 | − | 0.158118i | ||||
\(419\) | −13914.1 | −1.62232 | −0.811158 | − | 0.584827i | \(-0.801163\pi\) | ||||
−0.811158 | + | 0.584827i | \(0.801163\pi\) | |||||||
\(420\) | 803.609 | + | 674.308i | 0.0933622 | + | 0.0783402i | ||||
\(421\) | 1786.14 | − | 650.101i | 0.206772 | − | 0.0752589i | −0.236558 | − | 0.971617i | \(-0.576019\pi\) |
0.443330 | + | 0.896359i | \(0.353797\pi\) | |||||||
\(422\) | −1156.97 | − | 6561.48i | −0.133460 | − | 0.756890i | ||||
\(423\) | 11.3394 | − | 64.3087i | 0.00130340 | − | 0.00739195i | ||||
\(424\) | 803.694 | + | 292.521i | 0.0920538 | + | 0.0335048i | ||||
\(425\) | −6794.70 | − | 11768.8i | −0.775509 | − | 1.34322i | ||||
\(426\) | 640.182 | − | 1108.83i | 0.0728096 | − | 0.126110i | ||||
\(427\) | 11127.8 | − | 9337.33i | 1.26115 | − | 1.05823i | ||||
\(428\) | −3099.91 | + | 2601.13i | −0.350093 | + | 0.293763i | ||||
\(429\) | −793.578 | + | 1374.52i | −0.0893107 | + | 0.154691i | ||||
\(430\) | 3152.94 | + | 5461.05i | 0.353600 | + | 0.612454i | ||||
\(431\) | 8258.89 | + | 3005.99i | 0.923009 | + | 0.335948i | 0.759435 | − | 0.650583i | \(-0.225476\pi\) |
0.163574 | + | 0.986531i | \(0.447698\pi\) | |||||||
\(432\) | −94.7858 | + | 537.557i | −0.0105564 | + | 0.0598686i | ||||
\(433\) | −767.005 | − | 4349.90i | −0.0851269 | − | 0.482778i | −0.997329 | − | 0.0730382i | \(-0.976730\pi\) |
0.912202 | − | 0.409740i | \(-0.134381\pi\) | |||||||
\(434\) | 1636.22 | − | 595.536i | 0.180970 | − | 0.0658678i | ||||
\(435\) | 2071.41 | + | 1738.12i | 0.228314 | + | 0.191578i | ||||
\(436\) | −7973.39 | −0.875817 | ||||||||
\(437\) | −307.656 | − | 10620.2i | −0.0336778 | − | 1.16254i | ||||
\(438\) | −497.064 | −0.0542252 | ||||||||
\(439\) | 7228.42 | + | 6065.36i | 0.785862 | + | 0.659417i | 0.944718 | − | 0.327885i | \(-0.106336\pi\) |
−0.158855 | + | 0.987302i | \(0.550780\pi\) | |||||||
\(440\) | −5387.52 | + | 1960.90i | −0.583727 | + | 0.212459i | ||||
\(441\) | −903.184 | − | 5122.21i | −0.0975255 | − | 0.553095i | ||||
\(442\) | 1532.83 | − | 8693.11i | 0.164953 | − | 0.935496i | ||||
\(443\) | 10460.2 | + | 3807.21i | 1.12185 | + | 0.408320i | 0.835327 | − | 0.549753i | \(-0.185278\pi\) |
0.286524 | + | 0.958073i | \(0.407500\pi\) | |||||||
\(444\) | −168.940 | − | 292.612i | −0.0180575 | − | 0.0312765i | ||||
\(445\) | 3419.56 | − | 5922.85i | 0.364276 | − | 0.630944i | ||||
\(446\) | −7864.48 | + | 6599.08i | −0.834964 | + | 0.700618i | ||||
\(447\) | −228.784 | + | 191.972i | −0.0242083 | + | 0.0203132i | ||||
\(448\) | −742.630 | + | 1286.27i | −0.0783169 | + | 0.135649i | ||||
\(449\) | 185.819 | + | 321.848i | 0.0195308 | + | 0.0338284i | 0.875626 | − | 0.482990i | \(-0.160449\pi\) |
−0.856095 | + | 0.516819i | \(0.827116\pi\) | |||||||
\(450\) | −9505.47 | − | 3459.71i | −0.995761 | − | 0.362427i | ||||
\(451\) | 823.010 | − | 4667.52i | 0.0859291 | − | 0.487328i | ||||
\(452\) | −248.613 | − | 1409.95i | −0.0258712 | − | 0.146723i | ||||
\(453\) | −253.946 | + | 92.4287i | −0.0263387 | + | 0.00958649i | ||||
\(454\) | −4757.32 | − | 3991.87i | −0.491789 | − | 0.412660i | ||||
\(455\) | −25448.1 | −2.62203 | ||||||||
\(456\) | 132.709 | − | 400.322i | 0.0136287 | − | 0.0411114i | ||||
\(457\) | −4966.07 | −0.508321 | −0.254161 | − | 0.967162i | \(-0.581799\pi\) | ||||
−0.254161 | + | 0.967162i | \(0.581799\pi\) | |||||||
\(458\) | 3588.26 | + | 3010.90i | 0.366088 | + | 0.307184i | ||||
\(459\) | 2290.75 | − | 833.766i | 0.232948 | − | 0.0847862i | ||||
\(460\) | 1581.94 | + | 8971.64i | 0.160345 | + | 0.909359i | ||||
\(461\) | −1257.42 | + | 7131.18i | −0.127037 | + | 0.720460i | 0.853041 | + | 0.521844i | \(0.174756\pi\) |
−0.980077 | + | 0.198616i | \(0.936355\pi\) | |||||||
\(462\) | −1120.74 | − | 407.915i | −0.112860 | − | 0.0410777i | ||||
\(463\) | 215.267 | + | 372.854i | 0.0216076 | + | 0.0374254i | 0.876627 | − | 0.481171i | \(-0.159788\pi\) |
−0.855019 | + | 0.518596i | \(0.826455\pi\) | |||||||
\(464\) | −1914.23 | + | 3315.55i | −0.191522 | + | 0.331725i | ||||
\(465\) | 324.763 | − | 272.508i | 0.0323882 | − | 0.0271769i | ||||
\(466\) | −1605.85 | + | 1347.47i | −0.159635 | + | 0.133949i | ||||
\(467\) | 7517.45 | − | 13020.6i | 0.744895 | − | 1.29020i | −0.205348 | − | 0.978689i | \(-0.565833\pi\) |
0.950244 | − | 0.311508i | \(-0.100834\pi\) | |||||||
\(468\) | −3285.35 | − | 5690.39i | −0.324498 | − | 0.562048i | ||||
\(469\) | 3978.81 | + | 1448.17i | 0.391736 | + | 0.142580i | ||||
\(470\) | 15.1391 | − | 85.8580i | 0.00148577 | − | 0.00842624i | ||||
\(471\) | 2.72811 | + | 15.4719i | 0.000266889 | + | 0.00151360i | ||||
\(472\) | 1851.10 | − | 673.745i | 0.180516 | − | 0.0657026i | ||||
\(473\) | −5491.94 | − | 4608.29i | −0.533868 | − | 0.447969i | ||||
\(474\) | −1115.03 | −0.108048 | ||||||||
\(475\) | 13862.6 | + | 7476.91i | 1.33907 | + | 0.722241i | ||||
\(476\) | 6633.18 | 0.638721 | ||||||||
\(477\) | −2178.04 | − | 1827.59i | −0.209068 | − | 0.175429i | ||||
\(478\) | 6106.86 | − | 2222.71i | 0.584354 | − | 0.212687i | ||||
\(479\) | −1826.39 | − | 10358.0i | −0.174217 | − | 0.988034i | −0.939044 | − | 0.343798i | \(-0.888287\pi\) |
0.764827 | − | 0.644236i | \(-0.222825\pi\) | |||||||
\(480\) | −62.7955 | + | 356.131i | −0.00597127 | + | 0.0338648i | ||||
\(481\) | 7702.15 | + | 2803.35i | 0.730120 | + | 0.265742i | ||||
\(482\) | 6592.90 | + | 11419.2i | 0.623026 | + | 1.07911i | ||||
\(483\) | −947.557 | + | 1641.22i | −0.0892657 | + | 0.154613i | ||||
\(484\) | 914.830 | − | 767.634i | 0.0859157 | − | 0.0720918i | ||||
\(485\) | 12761.4 | − | 10708.1i | 1.19478 | − | 1.00254i | ||||
\(486\) | 1364.38 | − | 2363.17i | 0.127344 | − | 0.220567i | ||||
\(487\) | −6528.69 | − | 11308.0i | −0.607481 | − | 1.05219i | −0.991654 | − | 0.128927i | \(-0.958847\pi\) |
0.384173 | − | 0.923261i | \(-0.374487\pi\) | |||||||
\(488\) | 4705.53 | + | 1712.67i | 0.436495 | + | 0.158871i | ||||
\(489\) | 101.121 | − | 573.483i | 0.00935139 | − | 0.0530344i | ||||
\(490\) | −1205.83 | − | 6838.62i | −0.111171 | − | 0.630485i | ||||
\(491\) | −12496.7 | + | 4548.44i | −1.14862 | + | 0.418062i | −0.845018 | − | 0.534738i | \(-0.820410\pi\) |
−0.303598 | + | 0.952800i | \(0.598188\pi\) | |||||||
\(492\) | −229.005 | − | 192.158i | −0.0209844 | − | 0.0176080i | ||||
\(493\) | 17097.9 | 1.56197 | ||||||||
\(494\) | 3776.10 | + | 9508.56i | 0.343917 | + | 0.866013i | ||||
\(495\) | 19059.4 | 1.73062 | ||||||||
\(496\) | 459.809 | + | 385.826i | 0.0416251 | + | 0.0349276i | ||||
\(497\) | −21932.1 | + | 7982.64i | −1.97946 | + | 0.720464i | ||||
\(498\) | 95.6189 | + | 542.282i | 0.00860399 | + | 0.0487956i | ||||
\(499\) | 1615.07 | − | 9159.49i | 0.144890 | − | 0.821714i | −0.822565 | − | 0.568671i | \(-0.807458\pi\) |
0.967455 | − | 0.253042i | \(-0.0814312\pi\) | |||||||
\(500\) | −4349.38 | − | 1583.04i | −0.389020 | − | 0.141592i | ||||
\(501\) | −431.294 | − | 747.023i | −0.0384606 | − | 0.0666158i | ||||
\(502\) | −4799.04 | + | 8312.18i | −0.426677 | + | 0.739025i | ||||
\(503\) | −14603.2 | + | 12253.5i | −1.29448 | + | 1.08620i | −0.303411 | + | 0.952860i | \(0.598125\pi\) |
−0.991071 | + | 0.133339i | \(0.957430\pi\) | |||||||
\(504\) | 3782.36 | − | 3173.78i | 0.334285 | − | 0.280499i | ||||
\(505\) | −14266.4 | + | 24710.1i | −1.25712 | + | 2.17739i | ||||
\(506\) | −5178.66 | − | 8969.70i | −0.454979 | − | 0.788047i | ||||
\(507\) | −967.894 | − | 352.285i | −0.0847844 | − | 0.0308590i | ||||
\(508\) | −1958.33 | + | 11106.2i | −0.171037 | + | 0.970000i | ||||
\(509\) | −3051.36 | − | 17305.1i | −0.265715 | − | 1.50695i | −0.766991 | − | 0.641658i | \(-0.778247\pi\) |
0.501275 | − | 0.865288i | \(-0.332864\pi\) | |||||||
\(510\) | 1517.62 | − | 552.370i | 0.131768 | − | 0.0479595i | ||||
\(511\) | 6941.09 | + | 5824.27i | 0.600892 | + | 0.504208i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | −1752.71 | + | 2216.08i | −0.150846 | + | 0.190726i | ||||
\(514\) | −3145.65 | −0.269939 | ||||||||
\(515\) | 6513.60 | + | 5465.56i | 0.557327 | + | 0.467653i | ||||
\(516\) | −424.926 | + | 154.660i | −0.0362526 | + | 0.0131949i | ||||
\(517\) | 17.2118 | + | 97.6129i | 0.00146417 | + | 0.00830370i | ||||
\(518\) | −1069.53 | + | 6065.62i | −0.0907193 | + | 0.514495i | ||||
\(519\) | 637.619 | + | 232.074i | 0.0539275 | + | 0.0196280i | ||||
\(520\) | −4386.24 | − | 7597.19i | −0.369903 | − | 0.640690i | ||||
\(521\) | −9719.22 | + | 16834.2i | −0.817288 | + | 1.41558i | 0.0903861 | + | 0.995907i | \(0.471190\pi\) |
−0.907674 | + | 0.419677i | \(0.862143\pi\) | |||||||
\(522\) | 9749.57 | − | 8180.86i | 0.817485 | − | 0.685951i | ||||
\(523\) | −10716.0 | + | 8991.81i | −0.895944 | + | 0.751787i | −0.969393 | − | 0.245512i | \(-0.921044\pi\) |
0.0734491 | + | 0.997299i | \(0.476599\pi\) | |||||||
\(524\) | 4378.54 | − | 7583.85i | 0.365033 | − | 0.632256i | ||||
\(525\) | −1404.70 | − | 2433.01i | −0.116774 | − | 0.202258i | ||||
\(526\) | 3846.68 | + | 1400.08i | 0.318865 | + | 0.116057i | ||||
\(527\) | 465.493 | − | 2639.94i | 0.0384767 | − | 0.218212i | ||||
\(528\) | −71.3930 | − | 404.890i | −0.00588443 | − | 0.0333723i | ||||
\(529\) | −4031.79 | + | 1467.45i | −0.331371 | + | 0.120609i | ||||
\(530\) | −2907.88 | − | 2440.00i | −0.238321 | − | 0.199975i | ||||
\(531\) | −6548.63 | −0.535191 | ||||||||
\(532\) | −6543.89 | + | 4035.18i | −0.533296 | + | 0.328848i | ||||
\(533\) | 7251.94 | 0.589337 | ||||||||
\(534\) | 375.696 | + | 315.246i | 0.0304456 | + | 0.0255469i | ||||
\(535\) | 16877.2 | − | 6142.78i | 1.36386 | − | 0.496403i | ||||
\(536\) | 253.458 | + | 1437.43i | 0.0204248 | + | 0.115835i | ||||
\(537\) | 196.086 | − | 1112.06i | 0.0157575 | − | 0.0893650i | ||||
\(538\) | −11663.5 | − | 4245.15i | −0.934661 | − | 0.340189i | ||||
\(539\) | 3947.42 | + | 6837.14i | 0.315450 | + | 0.546376i | ||||
\(540\) | 1211.33 | − | 2098.08i | 0.0965319 | − | 0.167198i | ||||
\(541\) | 6331.75 | − | 5312.97i | 0.503185 | − | 0.422223i | −0.355538 | − | 0.934662i | \(-0.615702\pi\) |
0.858724 | + | 0.512439i | \(0.171258\pi\) | |||||||
\(542\) | 5090.39 | − | 4271.35i | 0.403415 | − | 0.338506i | ||||
\(543\) | 63.6750 | − | 110.288i | 0.00503233 | − | 0.00871625i | ||||
\(544\) | 1143.30 | + | 1980.25i | 0.0901075 | + | 0.156071i | ||||
\(545\) | 33254.2 | + | 12103.6i | 2.61368 | + | 0.951302i | ||||
\(546\) | 316.889 | − | 1797.17i | 0.0248381 | − | 0.140864i | ||||
\(547\) | 3758.46 | + | 21315.3i | 0.293784 | + | 1.66613i | 0.672102 | + | 0.740459i | \(0.265392\pi\) |
−0.378317 | + | 0.925676i | \(0.623497\pi\) | |||||||
\(548\) | 6677.59 | − | 2430.45i | 0.520534 | − | 0.189459i | ||||
\(549\) | −12752.2 | − | 10700.3i | −0.991346 | − | 0.831838i | ||||
\(550\) | 15354.1 | 1.19037 | ||||||||
\(551\) | −16867.8 | + | 10401.2i | −1.30416 | + | 0.804188i | ||||
\(552\) | −653.285 | −0.0503726 | ||||||||
\(553\) | 15570.4 | + | 13065.2i | 1.19733 | + | 1.00468i | ||||
\(554\) | −14170.1 | + | 5157.50i | −1.08670 | + | 0.395525i | ||||
\(555\) | 260.406 | + | 1476.83i | 0.0199164 | + | 0.112952i | ||||
\(556\) | 768.468 | − | 4358.20i | 0.0586156 | − | 0.332426i | ||||
\(557\) | 4344.02 | + | 1581.09i | 0.330453 | + | 0.120275i | 0.501918 | − | 0.864915i | \(-0.332628\pi\) |
−0.171465 | + | 0.985190i | \(0.554850\pi\) | |||||||
\(558\) | −997.701 | − | 1728.07i | −0.0756919 | − | 0.131102i | ||||
\(559\) | 5484.81 | − | 9499.97i | 0.414996 | − | 0.718794i | ||||
\(560\) | 5049.80 | − | 4237.29i | 0.381059 | − | 0.319747i | ||||
\(561\) | −1406.56 | + | 1180.24i | −0.105856 | + | 0.0888235i | ||||
\(562\) | −4361.80 | + | 7554.87i | −0.327387 | + | 0.567051i | ||||
\(563\) | −10286.6 | − | 17817.0i | −0.770035 | − | 1.33374i | −0.937543 | − | 0.347869i | \(-0.886905\pi\) |
0.167508 | − | 0.985871i | \(-0.446428\pi\) | |||||||
\(564\) | 5.87486 | + | 2.13827i | 0.000438610 | + | 0.000159641i | ||||
\(565\) | −1103.42 | + | 6257.82i | −0.0821616 | + | 0.465962i | ||||
\(566\) | −1737.78 | − | 9855.42i | −0.129053 | − | 0.731898i | ||||
\(567\) | −15185.6 | + | 5527.10i | −1.12475 | + | 0.409377i | ||||
\(568\) | −6163.35 | − | 5171.66i | −0.455296 | − | 0.382039i | ||||
\(569\) | −13920.9 | −1.02565 | −0.512824 | − | 0.858494i | \(-0.671401\pi\) | ||||
−0.512824 | + | 0.858494i | \(0.671401\pi\) | |||||||
\(570\) | −1161.17 | + | 1468.15i | −0.0853264 | + | 0.107885i | ||||
\(571\) | 1816.27 | 0.133115 | 0.0665575 | − | 0.997783i | \(-0.478798\pi\) | ||||
0.0665575 | + | 0.997783i | \(0.478798\pi\) | |||||||
\(572\) | 7640.17 | + | 6410.86i | 0.558482 | + | 0.468622i | ||||
\(573\) | −935.676 | + | 340.558i | −0.0682172 | + | 0.0248290i | ||||
\(574\) | 946.287 | + | 5366.66i | 0.0688105 | + | 0.390244i | ||||
\(575\) | 4236.56 | − | 24026.7i | 0.307264 | − | 1.74258i | ||||
\(576\) | 1599.42 | + | 582.141i | 0.115699 | + | 0.0421109i | ||||
\(577\) | −11372.8 | − | 19698.3i | −0.820549 | − | 1.42123i | −0.905274 | − | 0.424828i | \(-0.860335\pi\) |
0.0847254 | − | 0.996404i | \(-0.472999\pi\) | |||||||
\(578\) | 192.978 | − | 334.248i | 0.0138872 | − | 0.0240534i | ||||
\(579\) | 903.808 | − | 758.385i | 0.0648722 | − | 0.0544342i | ||||
\(580\) | 13016.6 | − | 10922.2i | 0.931869 | − | 0.781931i | ||||
\(581\) | 5018.87 | − | 8692.93i | 0.358378 | − | 0.620729i | ||||
\(582\) | 597.307 | + | 1034.57i | 0.0425415 | + | 0.0736841i | ||||
\(583\) | 4055.41 | + | 1476.05i | 0.288093 | + | 0.104857i | ||||
\(584\) | −542.390 | + | 3076.05i | −0.0384320 | + | 0.217958i | ||||
\(585\) | 5064.07 | + | 28719.8i | 0.357903 | + | 2.02977i | ||||
\(586\) | 7153.25 | − | 2603.57i | 0.504263 | − | 0.183537i | ||||
\(587\) | 2460.58 | + | 2064.67i | 0.173014 | + | 0.145176i | 0.725183 | − | 0.688556i | \(-0.241755\pi\) |
−0.552169 | + | 0.833732i | \(0.686200\pi\) | |||||||
\(588\) | 497.966 | 0.0349248 | ||||||||
\(589\) | 1146.74 | + | 2887.58i | 0.0802214 | + | 0.202005i | ||||
\(590\) | −8743.03 | −0.610076 | ||||||||
\(591\) | −2442.47 | − | 2049.48i | −0.170000 | − | 0.142647i | ||||
\(592\) | −1995.16 | + | 726.178i | −0.138514 | + | 0.0504151i | ||||
\(593\) | −506.559 | − | 2872.84i | −0.0350791 | − | 0.198943i | 0.962232 | − | 0.272232i | \(-0.0877617\pi\) |
−0.997311 | + | 0.0732884i | \(0.976651\pi\) | |||||||
\(594\) | −478.286 | + | 2712.50i | −0.0330376 | + | 0.187366i | ||||
\(595\) | −27664.7 | − | 10069.1i | −1.90612 | − | 0.693771i | ||||
\(596\) | 938.363 | + | 1625.29i | 0.0644914 | + | 0.111702i | ||||
\(597\) | 617.421 | − | 1069.40i | 0.0423272 | − | 0.0733129i | ||||
\(598\) | 12140.1 | − | 10186.7i | 0.830174 | − | 0.696598i | ||||
\(599\) | −7164.74 | + | 6011.93i | −0.488720 | + | 0.410085i | −0.853567 | − | 0.520982i | \(-0.825566\pi\) |
0.364847 | + | 0.931067i | \(0.381121\pi\) | |||||||
\(600\) | 484.230 | − | 838.710i | 0.0329477 | − | 0.0570670i | ||||
\(601\) | 3341.40 | + | 5787.48i | 0.226786 | + | 0.392806i | 0.956854 | − | 0.290569i | \(-0.0938447\pi\) |
−0.730068 | + | 0.683375i | \(0.760511\pi\) | |||||||
\(602\) | 7745.96 | + | 2819.30i | 0.524422 | + | 0.190874i | ||||
\(603\) | 842.582 | − | 4778.52i | 0.0569031 | − | 0.322714i | ||||
\(604\) | 294.887 | + | 1672.39i | 0.0198655 | + | 0.112663i | ||||
\(605\) | −4980.70 | + | 1812.83i | −0.334701 | + | 0.121821i | ||||
\(606\) | −1567.40 | − | 1315.20i | −0.105068 | − | 0.0881625i | ||||
\(607\) | −4086.96 | −0.273286 | −0.136643 | − | 0.990620i | \(-0.543631\pi\) | ||||
−0.136643 | + | 0.990620i | \(0.543631\pi\) | |||||||
\(608\) | −2332.56 | − | 1258.09i | −0.155588 | − | 0.0839182i | ||||
\(609\) | 3534.74 | 0.235197 | ||||||||
\(610\) | −17025.3 | − | 14285.9i | −1.13006 | − | 0.948231i | ||||
\(611\) | −142.515 | + | 51.8713i | −0.00943625 | + | 0.00343451i | ||||
\(612\) | −1319.98 | − | 7485.96i | −0.0871845 | − | 0.494448i | ||||
\(613\) | 4910.09 | − | 27846.5i | 0.323518 | − | 1.83476i | −0.196374 | − | 0.980529i | \(-0.562917\pi\) |
0.519892 | − | 0.854232i | \(-0.325972\pi\) | |||||||
\(614\) | −2561.52 | − | 932.317i | −0.168362 | − | 0.0612789i | ||||
\(615\) | 663.405 | + | 1149.05i | 0.0434977 | + | 0.0753402i | ||||
\(616\) | −3747.29 | + | 6490.49i | −0.245101 | + | 0.424528i | ||||
\(617\) | 7831.23 | − | 6571.18i | 0.510978 | − | 0.428761i | −0.350495 | − | 0.936565i | \(-0.613987\pi\) |
0.861473 | + | 0.507803i | \(0.169542\pi\) | |||||||
\(618\) | −467.093 | + | 391.937i | −0.0304033 | + | 0.0255114i | ||||
\(619\) | −1722.49 | + | 2983.44i | −0.111846 | + | 0.193723i | −0.916515 | − | 0.400001i | \(-0.869010\pi\) |
0.804668 | + | 0.593724i | \(0.202343\pi\) | |||||||
\(620\) | −1332.02 | − | 2307.13i | −0.0862828 | − | 0.149446i | ||||
\(621\) | 4112.65 | + | 1496.88i | 0.265757 | + | 0.0967275i | ||||
\(622\) | 2458.58 | − | 13943.3i | 0.158489 | − | 0.898833i | ||||
\(623\) | −1552.44 | − | 8804.32i | −0.0998349 | − | 0.566192i | ||||
\(624\) | 591.140 | − | 215.157i | 0.0379240 | − | 0.0138032i | ||||
\(625\) | −2473.94 | − | 2075.88i | −0.158332 | − | 0.132856i | ||||
\(626\) | 599.361 | 0.0382672 | ||||||||
\(627\) | 669.646 | − | 2020.01i | 0.0426525 | − | 0.128663i | ||||
\(628\) | 98.7237 | 0.00627309 | ||||||||
\(629\) | 7263.82 | + | 6095.07i | 0.460457 | + | 0.386369i | ||||
\(630\) | −20592.7 | + | 7495.13i | −1.30227 | + | 0.473989i | ||||
\(631\) | 1263.85 | + | 7167.66i | 0.0797356 | + | 0.452203i | 0.998369 | + | 0.0570918i | \(0.0181828\pi\) |
−0.918633 | + | 0.395111i | \(0.870706\pi\) | |||||||
\(632\) | −1216.70 | + | 6900.27i | −0.0765790 | + | 0.434301i | ||||
\(633\) | −1992.67 | − | 725.274i | −0.125121 | − | 0.0455404i | ||||
\(634\) | 393.904 | + | 682.262i | 0.0246750 | + | 0.0427383i | ||||
\(635\) | 25026.7 | − | 43347.6i | 1.56402 | − | 2.70897i | ||||
\(636\) | 208.525 | − | 174.974i | 0.0130009 | − | 0.0109090i | ||||
\(637\) | −9253.74 | + | 7764.81i | −0.575583 | + | 0.482972i | ||||
\(638\) | −9659.16 | + | 16730.2i | −0.599388 | + | 1.03817i | ||||
\(639\) | 13373.3 | + | 23163.3i | 0.827920 | + | 1.43400i | ||||
\(640\) | 2135.37 | + | 777.213i | 0.131888 | + | 0.0480032i | ||||
\(641\) | 1272.09 | − | 7214.37i | 0.0783845 | − | 0.444540i | −0.920205 | − | 0.391438i | \(-0.871978\pi\) |
0.998589 | − | 0.0531027i | \(-0.0169111\pi\) | |||||||
\(642\) | 223.648 | + | 1268.37i | 0.0137488 | + | 0.0779731i | ||||
\(643\) | −27379.8 | + | 9965.42i | −1.67924 | + | 0.611194i | −0.993206 | − | 0.116373i | \(-0.962873\pi\) |
−0.686036 | + | 0.727567i | \(0.740651\pi\) | |||||||
\(644\) | 9122.60 | + | 7654.77i | 0.558200 | + | 0.468385i | ||||
\(645\) | 2006.99 | 0.122520 | ||||||||
\(646\) | 342.731 | + | 11830.9i | 0.0208739 | + | 0.720558i | ||||
\(647\) | −6513.25 | −0.395768 | −0.197884 | − | 0.980225i | \(-0.563407\pi\) | ||||
−0.197884 | + | 0.980225i | \(0.563407\pi\) | |||||||
\(648\) | −4267.44 | − | 3580.81i | −0.258705 | − | 0.217079i | ||||
\(649\) | 9340.59 | − | 3399.70i | 0.564946 | − | 0.205624i | ||||
\(650\) | 4079.58 | + | 23136.5i | 0.246176 | + | 1.39613i | ||||
\(651\) | 96.2336 | − | 545.768i | 0.00579369 | − | 0.0328576i | ||||
\(652\) | −3438.62 | − | 1251.56i | −0.206544 | − | 0.0751760i | ||||
\(653\) | 163.021 | + | 282.360i | 0.00976950 | + | 0.0169213i | 0.870869 | − | 0.491516i | \(-0.163557\pi\) |
−0.861099 | + | 0.508437i | \(0.830224\pi\) | |||||||
\(654\) | −1268.86 | + | 2197.73i | −0.0758660 | + | 0.131404i | ||||
\(655\) | −29773.6 | + | 24983.0i | −1.77611 | + | 1.49033i | ||||
\(656\) | −1439.04 | + | 1207.50i | −0.0856482 | + | 0.0718674i | ||||
\(657\) | 5191.81 | − | 8992.47i | 0.308298 | − | 0.533987i | ||||
\(658\) | −56.9828 | − | 98.6971i | −0.00337602 | − | 0.00584743i | ||||
\(659\) | −3374.18 | − | 1228.10i | −0.199453 | − | 0.0725950i | 0.240362 | − | 0.970683i | \(-0.422734\pi\) |
−0.439815 | + | 0.898088i | \(0.644956\pi\) | |||||||
\(660\) | −316.864 | + | 1797.03i | −0.0186878 | + | 0.105984i | ||||
\(661\) | −551.683 | − | 3128.75i | −0.0324629 | − | 0.184106i | 0.964265 | − | 0.264941i | \(-0.0853525\pi\) |
−0.996728 | + | 0.0808347i | \(0.974241\pi\) | |||||||
\(662\) | 9545.66 | − | 3474.34i | 0.560427 | − | 0.203979i | ||||
\(663\) | −2152.18 | − | 1805.89i | −0.126069 | − | 0.105784i | ||||
\(664\) | 3460.22 | 0.202233 | ||||||||
\(665\) | 33417.7 | − | 6895.74i | 1.94869 | − | 0.402113i | ||||
\(666\) | 7058.27 | 0.410665 | ||||||||
\(667\) | 23514.8 | + | 19731.2i | 1.36506 | + | 1.14542i | ||||
\(668\) | −5093.53 | + | 1853.89i | −0.295022 | + | 0.107379i | ||||
\(669\) | 567.397 | + | 3217.87i | 0.0327905 | + | 0.185964i | ||||
\(670\) | 1124.92 | − | 6379.76i | 0.0648651 | − | 0.367868i | ||||
\(671\) | 23744.0 | + | 8642.10i | 1.36606 | + | 0.497205i | ||||
\(672\) | 236.359 | + | 409.386i | 0.0135681 | + | 0.0235006i | ||||
\(673\) | 3251.62 | − | 5631.96i | 0.186242 | − | 0.322580i | −0.757753 | − | 0.652542i | \(-0.773703\pi\) |
0.943994 | + | 0.329962i | \(0.107036\pi\) | |||||||
\(674\) | 4834.33 | − | 4056.48i | 0.276278 | − | 0.231825i | ||||
\(675\) | −4970.13 | + | 4170.44i | −0.283408 | + | 0.237808i | ||||
\(676\) | −3236.25 | + | 5605.35i | −0.184129 | + | 0.318920i | ||||
\(677\) | 11496.3 | + | 19912.2i | 0.652642 | + | 1.13041i | 0.982479 | + | 0.186371i | \(0.0596727\pi\) |
−0.329837 | + | 0.944038i | \(0.606994\pi\) | |||||||
\(678\) | −428.193 | − | 155.850i | −0.0242547 | − | 0.00882797i | ||||
\(679\) | 3781.46 | − | 21445.7i | 0.213725 | − | 1.21209i | ||||
\(680\) | −1762.29 | − | 9994.45i | −0.0993835 | − | 0.563632i | ||||
\(681\) | −1857.35 | + | 676.021i | −0.104514 | + | 0.0380399i | ||||
\(682\) | 2320.18 | + | 1946.87i | 0.130270 | + | 0.109310i | ||||
\(683\) | −15376.0 | −0.861413 | −0.430707 | − | 0.902492i | \(-0.641736\pi\) | ||||
−0.430707 | + | 0.902492i | \(0.641736\pi\) | |||||||
\(684\) | 5856.16 | + | 6582.21i | 0.327363 | + | 0.367949i | ||||
\(685\) | −31539.3 | −1.75921 | ||||||||
\(686\) | 5241.83 | + | 4398.42i | 0.291741 | + | 0.244799i | ||||
\(687\) | 1400.93 | − | 509.896i | 0.0778002 | − | 0.0283169i | ||||
\(688\) | 493.432 | + | 2798.39i | 0.0273429 | + | 0.155069i | ||||
\(689\) | −1146.67 | + | 6503.10i | −0.0634031 | + | 0.359577i | ||||
\(690\) | 2724.63 | + | 991.683i | 0.150326 | + | 0.0547141i | ||||
\(691\) | −1768.06 | − | 3062.38i | −0.0973377 | − | 0.168594i | 0.813244 | − | 0.581923i | \(-0.197699\pi\) |
−0.910582 | + | 0.413329i | \(0.864366\pi\) | |||||||
\(692\) | 2131.94 | − | 3692.63i | 0.117116 | − | 0.202851i | ||||
\(693\) | 19085.7 | − | 16014.8i | 1.04618 | − | 0.877852i | ||||
\(694\) | −2635.25 | + | 2211.23i | −0.144139 | + | 0.120947i | ||||
\(695\) | −9820.72 | + | 17010.0i | −0.536002 | + | 0.928382i | ||||
\(696\) | 609.249 | + | 1055.25i | 0.0331804 | + | 0.0574701i | ||||
\(697\) | 7883.61 | + | 2869.40i | 0.428426 | + | 0.155934i | ||||
\(698\) | −2689.24 | + | 15251.4i | −0.145830 | + | 0.827043i | ||||
\(699\) | 115.857 | + | 657.058i | 0.00626912 | + | 0.0355539i | ||||
\(700\) | −16589.3 | + | 6038.03i | −0.895740 | + | 0.326023i | ||||
\(701\) | −7564.55 | − | 6347.41i | −0.407574 | − | 0.341995i | 0.415839 | − | 0.909438i | \(-0.363488\pi\) |
−0.823412 | + | 0.567443i | \(0.807933\pi\) | |||||||
\(702\) | −4214.42 | −0.226585 | ||||||||
\(703\) | −10873.9 | − | 1594.21i | −0.583380 | − | 0.0855287i | ||||
\(704\) | −2583.54 | −0.138311 | ||||||||
\(705\) | −21.2561 | − | 17.8360i | −0.00113553 | − | 0.000952826i | ||||
\(706\) | 2131.34 | − | 775.744i | 0.113618 | − | 0.0413534i | ||||
\(707\) | 6476.75 | + | 36731.5i | 0.344531 | + | 1.95393i | ||||
\(708\) | 108.872 | − | 617.441i | 0.00577916 | − | 0.0327752i | ||||
\(709\) | 16620.6 | + | 6049.42i | 0.880397 | + | 0.320438i | 0.742370 | − | 0.669990i | \(-0.233702\pi\) |
0.138027 | + | 0.990428i | \(0.455924\pi\) | |||||||
\(710\) | 17854.6 | + | 30925.1i | 0.943764 | + | 1.63465i | ||||
\(711\) | 11646.4 | − | 20172.2i | 0.614310 | − | 1.06402i | ||||
\(712\) | 2360.84 | − | 1980.98i | 0.124264 | − | 0.104270i | ||||
\(713\) | 3686.72 | − | 3093.53i | 0.193645 | − | 0.162487i | ||||
\(714\) | 1055.58 | − | 1828.32i | 0.0553280 | − | 0.0958309i | ||||
\(715\) | −22132.8 | − | 38335.2i | −1.15765 | − | 2.00511i | ||||
\(716\) | −6667.96 | − | 2426.94i | −0.348035 | − | 0.126674i | ||||
\(717\) | 359.172 | − | 2036.97i | 0.0187078 | − | 0.106097i | ||||
\(718\) | −3292.60 | − | 18673.3i | −0.171140 | − | 0.970585i | ||||
\(719\) | 9863.72 | − | 3590.10i | 0.511620 | − | 0.186214i | −0.0732930 | − | 0.997310i | \(-0.523351\pi\) |
0.584913 | + | 0.811096i | \(0.301129\pi\) | |||||||
\(720\) | −5786.94 | − | 4855.82i | −0.299537 | − | 0.251341i | ||||
\(721\) | 11115.0 | 0.574127 | ||||||||
\(722\) | −7535.23 | − | 11463.1i | −0.388410 | − | 0.590878i | ||||
\(723\) | 4196.69 | 0.215874 | ||||||||
\(724\) | −613.031 | − | 514.394i | −0.0314684 | − | 0.0264051i | ||||
\(725\) | −42761.3 | + | 15563.9i | −2.19051 | + | 0.797279i | ||||
\(726\) | −66.0020 | − | 374.316i | −0.00337406 | − | 0.0191352i | ||||
\(727\) | −1197.34 | + | 6790.44i | −0.0610823 | + | 0.346415i | 0.938915 | + | 0.344149i | \(0.111832\pi\) |
−0.999997 | + | 0.00226616i | \(0.999279\pi\) | |||||||
\(728\) | −10775.9 | − | 3922.10i | −0.548599 | − | 0.199674i | ||||
\(729\) | 8966.39 | + | 15530.2i | 0.455540 | + | 0.789018i | ||||
\(730\) | 6931.54 | − | 12005.8i | 0.351435 | − | 0.608704i | ||||
\(731\) | 9721.44 | − | 8157.26i | 0.491875 | − | 0.412732i | ||||
\(732\) | 1220.89 | − | 1024.45i | 0.0616468 | − | 0.0517278i | ||||
\(733\) | −4873.61 | + | 8441.34i | −0.245581 | + | 0.425359i | −0.962295 | − | 0.272009i | \(-0.912312\pi\) |
0.716714 | + | 0.697367i | \(0.245645\pi\) | |||||||
\(734\) | −1739.06 | − | 3012.14i | −0.0874522 | − | 0.151472i | ||||
\(735\) | −2076.84 | − | 755.909i | −0.104225 | − | 0.0379348i | ||||
\(736\) | −712.857 | + | 4042.81i | −0.0357015 | + | 0.202473i | ||||
\(737\) | 1278.94 | + | 7253.22i | 0.0639218 | + | 0.362518i | ||||
\(738\) | 5868.31 | − | 2135.89i | 0.292704 | − | 0.106535i | ||||
\(739\) | −18204.3 | − | 15275.2i | −0.906166 | − | 0.760363i | 0.0652201 | − | 0.997871i | \(-0.479225\pi\) |
−0.971386 | + | 0.237508i | \(0.923670\pi\) | |||||||
\(740\) | 9423.45 | 0.468125 | ||||||||
\(741\) | 3221.79 | + | 472.343i | 0.159724 | + | 0.0234170i | ||||
\(742\) | −4962.12 | −0.245505 | ||||||||
\(743\) | −29769.0 | − | 24979.2i | −1.46988 | − | 1.23337i | −0.916249 | − | 0.400610i | \(-0.868798\pi\) |
−0.553629 | − | 0.832764i | \(-0.686757\pi\) | |||||||
\(744\) | 179.519 | − | 65.3395i | 0.00884607 | − | 0.00321971i | ||||
\(745\) | −1446.40 | − | 8202.96i | −0.0711304 | − | 0.403400i | ||||
\(746\) | 3279.42 | − | 18598.5i | 0.160949 | − | 0.912788i | ||||
\(747\) | −10809.3 | − | 3934.25i | −0.529438 | − | 0.192700i | ||||
\(748\) | 5769.05 | + | 9992.28i | 0.282002 | + | 0.488441i | ||||
\(749\) | 11738.9 | − | 20332.4i | 0.572671 | − | 0.991894i | ||||
\(750\) | −1128.48 | + | 946.911i | −0.0549419 | + | 0.0461017i | ||||
\(751\) | 27178.0 | − | 22805.1i | 1.32056 | − | 1.10808i | 0.334372 | − | 0.942441i | \(-0.391476\pi\) |
0.986186 | − | 0.165639i | \(-0.0529687\pi\) | |||||||
\(752\) | 19.6432 | − | 34.0229i | 0.000952543 | − | 0.00164985i | ||||
\(753\) | 1527.41 | + | 2645.55i | 0.0739201 | + | 0.128033i | ||||
\(754\) | −27776.3 | − | 10109.8i | −1.34158 | − | 0.488296i | ||||
\(755\) | 1308.80 | − | 7422.57i | 0.0630889 | − | 0.357795i | ||||
\(756\) | −549.928 | − | 3118.80i | −0.0264559 | − | 0.150039i | ||||
\(757\) | −22944.7 | + | 8351.20i | −1.10164 | + | 0.400964i | −0.827920 | − | 0.560846i | \(-0.810476\pi\) |
−0.273718 | + | 0.961810i | \(0.588254\pi\) | |||||||
\(758\) | −15291.4 | − | 12831.0i | −0.732730 | − | 0.614833i | ||||
\(759\) | −3296.46 | −0.157647 | ||||||||
\(760\) | 7818.52 | + | 8787.86i | 0.373168 | + | 0.419433i | ||||
\(761\) | −21827.2 | −1.03973 | −0.519866 | − | 0.854248i | \(-0.674018\pi\) | ||||
−0.519866 | + | 0.854248i | \(0.674018\pi\) | |||||||
\(762\) | 2749.60 | + | 2307.19i | 0.130719 | + | 0.109686i | ||||
\(763\) | 43470.2 | − | 15821.8i | 2.06255 | − | 0.750707i | ||||
\(764\) | 1086.52 | + | 6161.99i | 0.0514517 | + | 0.291797i | ||||
\(765\) | −5858.48 | + | 33225.1i | −0.276881 | + | 1.57027i | ||||
\(766\) | −1766.51 | − | 642.956i | −0.0833244 | − | 0.0303276i | ||||
\(767\) | 7604.63 | + | 13171.6i | 0.358002 | + | 0.620077i | ||||
\(768\) | −81.4780 | + | 141.124i | −0.00382823 | + | 0.00663070i | ||||
\(769\) | 417.121 | − | 350.006i | 0.0195602 | − | 0.0164129i | −0.632955 | − | 0.774188i | \(-0.718158\pi\) |
0.652515 | + | 0.757776i | \(0.273714\pi\) | |||||||
\(770\) | 25481.2 | − | 21381.2i | 1.19257 | − | 1.00068i | ||||
\(771\) | −500.588 | + | 867.045i | −0.0233829 | + | 0.0405005i | ||||
\(772\) | −3706.99 | − | 6420.70i | −0.172821 | − | 0.299334i | ||||
\(773\) | 22588.1 | + | 8221.39i | 1.05102 | + | 0.382539i | 0.809047 | − | 0.587744i | \(-0.199984\pi\) |
0.241971 | + | 0.970283i | \(0.422206\pi\) | |||||||
\(774\) | 1640.34 | − | 9302.84i | 0.0761768 | − | 0.432020i | ||||
\(775\) | 1238.90 | + | 7026.13i | 0.0574225 | + | 0.325659i | ||||
\(776\) | 7054.12 | − | 2567.49i | 0.326325 | − | 0.118773i | ||||
\(777\) | 1501.68 | + | 1260.06i | 0.0693341 | + | 0.0581782i | ||||
\(778\) | 5549.20 | 0.255718 | ||||||||
\(779\) | −9523.04 | + | 1965.08i | −0.437995 | + | 0.0903804i | ||||
\(780\) | −2792.05 | −0.128168 | ||||||||
\(781\) | −31100.1 | − | 26096.1i | −1.42490 | − | 1.19563i | ||||
\(782\) | 17228.1 | − | 6270.52i | 0.787821 | − | 0.286743i | ||||
\(783\) | −1417.52 | − | 8039.13i | −0.0646972 | − | 0.366916i | ||||
\(784\) | 543.375 | − | 3081.63i | 0.0247528 | − | 0.140380i | ||||
\(785\) | −411.742 | − | 149.862i | −0.0187206 | − | 0.00681376i | ||||
\(786\) | −1393.57 | − | 2413.74i | −0.0632406 | − | 0.109536i | ||||
\(787\) | −18883.5 | + | 32707.1i | −0.855303 | + | 1.48143i | 0.0210607 | + | 0.999778i | \(0.493296\pi\) |
−0.876364 | + | 0.481650i | \(0.840038\pi\) | |||||||
\(788\) | −15348.3 | + | 12878.7i | −0.693857 | + | 0.582215i | ||||
\(789\) | 998.054 | − | 837.467i | 0.0450338 | − | 0.0377879i | ||||
\(790\) | 15549.0 | − | 26931.7i | 0.700265 | − | 1.21289i | ||||
\(791\) | 4153.23 | + | 7193.60i | 0.186690 | + | 0.323357i | ||||
\(792\) | 8070.63 | + | 2937.47i | 0.362093 | + | 0.131791i | ||||
\(793\) | −6713.63 | + | 38074.9i | −0.300641 | + | 1.70502i | ||||
\(794\) | 2342.80 | + | 13286.7i | 0.104714 | + | 0.593861i | ||||
\(795\) | −1135.30 | + | 413.214i | −0.0506475 | + | 0.0184342i | ||||
\(796\) | −5944.22 | − | 4987.79i | −0.264683 | − | 0.222095i | ||||
\(797\) | 13781.1 | 0.612486 | 0.306243 | − | 0.951953i | \(-0.400928\pi\) | ||||
0.306243 | + | 0.951953i | \(0.400928\pi\) | |||||||
\(798\) | 70.8543 | + | 2445.86i | 0.00314313 | + | 0.108499i | ||||
\(799\) | −175.453 | −0.00776856 | ||||||||
\(800\) | −4661.92 | − | 3911.82i | −0.206030 | − | 0.172880i | ||||
\(801\) | −9627.31 | + | 3504.05i | −0.424674 | + | 0.154569i | ||||
\(802\) | 2474.02 | + | 14030.9i | 0.108929 | + | 0.617765i | ||||
\(803\) | −2736.88 | + | 15521.6i | −0.120277 | + | 0.682126i | ||||
\(804\) | 436.537 | + | 158.887i | 0.0191486 | + | 0.00696952i | ||||
\(805\) | −26427.3 | − | 45773.4i | −1.15707 | − | 2.00410i | ||||
\(806\) | −2317.17 | + | 4013.46i | −0.101264 | + | 0.175395i | ||||
\(807\) | −3026.19 | + | 2539.27i | −0.132004 | + | 0.110764i | ||||
\(808\) | −9849.38 | + | 8264.61i | −0.428837 | + | 0.359837i | ||||
\(809\) | 4624.80 | − | 8010.38i | 0.200988 | − | 0.348121i | −0.747859 | − | 0.663857i | \(-0.768918\pi\) |
0.948847 | + | 0.315736i | \(0.102251\pi\) | |||||||
\(810\) | 12362.4 | + | 21412.3i | 0.536259 | + | 0.928827i | ||||
\(811\) | 20735.8 | + | 7547.23i | 0.897822 | + | 0.326781i | 0.749380 | − | 0.662141i | \(-0.230352\pi\) |
0.148442 | + | 0.988921i | \(0.452574\pi\) | |||||||
\(812\) | 3857.07 | − | 21874.5i | 0.166695 | − | 0.945375i | ||||
\(813\) | −367.255 | − | 2082.81i | −0.0158428 | − | 0.0898490i | ||||
\(814\) | −10067.5 | + | 3664.28i | −0.433497 | + | 0.157780i | ||||
\(815\) | 12441.4 | + | 10439.6i | 0.534730 | + | 0.448692i | ||||
\(816\) | 727.763 | 0.0312216 | ||||||||
\(817\) | −4628.26 | + | 13961.3i | −0.198191 | + | 0.597852i | ||||
\(818\) | 21804.4 | 0.931998 | ||||||||
\(819\) | 29203.0 | + | 24504.2i | 1.24595 | + | 1.04548i | ||||
\(820\) | 7834.73 | − | 2851.61i | 0.333659 | − | 0.121442i | ||||
\(821\) | −6141.76 | − | 34831.6i | −0.261083 | − | 1.48067i | −0.779963 | − | 0.625826i | \(-0.784762\pi\) |
0.518880 | − | 0.854847i | \(-0.326349\pi\) | |||||||
\(822\) | 392.740 | − | 2227.34i | 0.0166647 | − | 0.0945101i | ||||
\(823\) | 12977.9 | + | 4723.59i | 0.549675 | + | 0.200065i | 0.601902 | − | 0.798570i | \(-0.294410\pi\) |
−0.0522270 | + | 0.998635i | \(0.516632\pi\) | |||||||
\(824\) | 1915.79 | + | 3318.25i | 0.0809950 | + | 0.140287i | ||||
\(825\) | 2443.41 | − | 4232.11i | 0.103113 | − | 0.178598i | ||||
\(826\) | −8755.08 | + | 7346.38i | −0.368799 | + | 0.309459i | ||||
\(827\) | −24710.3 | + | 20734.4i | −1.03901 | + | 0.871833i | −0.991895 | − | 0.127056i | \(-0.959447\pi\) |
−0.0471148 | + | 0.998889i | \(0.515003\pi\) | |||||||
\(828\) | 6823.53 | − | 11818.7i | 0.286394 | − | 0.496049i | ||||
\(829\) | 13531.5 | + | 23437.2i | 0.566910 | + | 0.981916i | 0.996869 | + | 0.0790681i | \(0.0251945\pi\) |
−0.429960 | + | 0.902848i | \(0.641472\pi\) | |||||||
\(830\) | −14431.4 | − | 5252.58i | −0.603518 | − | 0.219663i | ||||
\(831\) | −833.409 | + | 4726.50i | −0.0347902 | + | 0.197305i | ||||
\(832\) | −686.443 | − | 3893.01i | −0.0286035 | − | 0.162219i | ||||
\(833\) | −13132.1 | + | 4779.70i | −0.546219 | + | 0.198807i | ||||
\(834\) | −1078.97 | − | 905.364i | −0.0447982 | − | 0.0375902i | ||||
\(835\) | 24057.5 | 0.997060 | ||||||||
\(836\) | −11770.0 | − | 6348.28i | −0.486931 | − | 0.262631i | ||||
\(837\) | −1279.84 | −0.0528529 | ||||||||
\(838\) | 21317.7 | + | 17887.7i | 0.878769 | + | 0.737374i | ||||
\(839\) | 1532.05 | − | 557.619i | 0.0630418 | − | 0.0229454i | −0.310307 | − | 0.950636i | \(-0.600432\pi\) |
0.373349 | + | 0.927691i | \(0.378210\pi\) | |||||||
\(840\) | −364.327 | − | 2066.20i | −0.0149648 | − | 0.0848699i | ||||
\(841\) | 5707.02 | − | 32366.1i | 0.234000 | − | 1.32708i | ||||
\(842\) | −3572.28 | − | 1300.20i | −0.146210 | − | 0.0532161i | ||||
\(843\) | 1388.25 | + | 2404.51i | 0.0567186 | + | 0.0982394i | ||||
\(844\) | −6662.70 | + | 11540.1i | −0.271729 | + | 0.470649i | ||||
\(845\) | 22006.1 | − | 18465.3i | 0.895899 | − | 0.751748i | ||||
\(846\) | −100.047 | + | 83.9490i | −0.00406580 | + | 0.00341162i | ||||
\(847\) | −3464.33 | + | 6000.39i | −0.140538 | + | 0.243419i | ||||
\(848\) | −855.273 | − | 1481.38i | −0.0346347 | − | 0.0599890i | ||||
\(849\) | −2993.02 | − | 1089.37i | −0.120990 | − | 0.0440366i | ||||
\(850\) | −4719.55 | + | 26765.9i | −0.190446 | + | 1.08007i | ||||
\(851\) | 2956.14 | + | 16765.1i | 0.119078 | + | 0.675323i | ||||
\(852\) | −2406.30 | + | 875.820i | −0.0967586 | + | 0.0352173i | ||||
\(853\) | 32307.4 | + | 27109.1i | 1.29682 | + | 1.08816i | 0.990686 | + | 0.136169i | \(0.0434791\pi\) |
0.306131 | + | 0.951989i | \(0.400965\pi\) | |||||||
\(854\) | −29052.6 | −1.16412 | ||||||||
\(855\) | −14432.3 | − | 36341.7i | −0.577279 | − | 1.45364i | ||||
\(856\) | 8093.29 | 0.323158 | ||||||||
\(857\) | −26033.7 | − | 21844.9i | −1.03768 | − | 0.870720i | −0.0459383 | − | 0.998944i | \(-0.514628\pi\) |
−0.991745 | + | 0.128224i | \(0.959072\pi\) | |||||||
\(858\) | 2982.88 | − | 1085.68i | 0.118687 | − | 0.0431987i | ||||
\(859\) | 3978.04 | + | 22560.6i | 0.158008 | + | 0.896107i | 0.955984 | + | 0.293418i | \(0.0947929\pi\) |
−0.797976 | + | 0.602689i | \(0.794096\pi\) | |||||||
\(860\) | 2190.01 | − | 12420.1i | 0.0868356 | − | 0.492469i | ||||
\(861\) | 1629.82 | + | 593.205i | 0.0645110 | + | 0.0234801i | ||||
\(862\) | −8788.93 | − | 15222.9i | −0.347276 | − | 0.601500i | ||||
\(863\) | −13317.3 | + | 23066.2i | −0.525291 | + | 0.909831i | 0.474275 | + | 0.880377i | \(0.342710\pi\) |
−0.999566 | + | 0.0294540i | \(0.990623\pi\) | |||||||
\(864\) | 836.290 | − | 701.731i | 0.0329296 | − | 0.0276312i | ||||
\(865\) | −14497.0 | + | 12164.4i | −0.569840 | + | 0.478152i | ||||
\(866\) | −4417.01 | + | 7650.48i | −0.173321 | + | 0.300201i | ||||
\(867\) | −61.4198 | − | 106.382i | −0.00240591 | − | 0.00416716i | ||||
\(868\) | −3272.44 | − | 1191.07i | −0.127965 | − | 0.0465756i | ||||
\(869\) | −6139.45 | + | 34818.6i | −0.239663 | + | 1.35919i | ||||
\(870\) | −939.103 | − | 5325.92i | −0.0365961 | − | 0.207547i | ||||
\(871\) | −10589.7 | + | 3854.35i | −0.411963 | + | 0.149942i | ||||
\(872\) | 12215.9 | + | 10250.4i | 0.474408 | + | 0.398076i | ||||
\(873\) | −24955.4 | −0.967481 | ||||||||
\(874\) | −13181.6 | + | 16666.5i | −0.510155 | + | 0.645027i | ||||
\(875\) | 26853.7 | 1.03751 | ||||||||
\(876\) | 761.546 | + | 639.013i | 0.0293724 | + | 0.0246464i | ||||
\(877\) | 13434.5 | − | 4889.77i | 0.517277 | − | 0.188274i | −0.0701713 | − | 0.997535i | \(-0.522355\pi\) |
0.587449 | + | 0.809261i | \(0.300132\pi\) | |||||||
\(878\) | −3277.10 | − | 18585.4i | −0.125964 | − | 0.714380i | ||||
\(879\) | 420.715 | − | 2386.00i | 0.0161438 | − | 0.0915559i | ||||
\(880\) | 10775.0 | + | 3921.79i | 0.412757 | + | 0.150231i | ||||
\(881\) | −9281.09 | − | 16075.3i | −0.354924 | − | 0.614746i | 0.632181 | − | 0.774821i | \(-0.282160\pi\) |
−0.987105 | + | 0.160075i | \(0.948827\pi\) | |||||||
\(882\) | −5201.23 | + | 9008.79i | −0.198565 | + | 0.343925i | ||||
\(883\) | 1876.22 | − | 1574.33i | 0.0715059 | − | 0.0600006i | −0.606334 | − | 0.795210i | \(-0.707361\pi\) |
0.677840 | + | 0.735209i | \(0.262916\pi\) | |||||||
\(884\) | −13524.1 | + | 11348.1i | −0.514552 | + | 0.431760i | ||||
\(885\) | −1391.34 | + | 2409.87i | −0.0528466 | + | 0.0915331i | ||||
\(886\) | −11131.5 | − | 19280.4i | −0.422089 | − | 0.731080i | ||||
\(887\) | 8273.17 | + | 3011.19i | 0.313175 | + | 0.113986i | 0.493825 | − | 0.869561i | \(-0.335598\pi\) |
−0.180651 | + | 0.983547i | \(0.557820\pi\) | |||||||
\(888\) | −117.344 | + | 665.493i | −0.00443448 | + | 0.0251492i | ||||
\(889\) | −11361.8 | − | 64436.2i | −0.428643 | − | 2.43096i | ||||
\(890\) | −12853.3 | + | 4678.23i | −0.484095 | + | 0.176196i | ||||
\(891\) | −21533.4 | − | 18068.7i | −0.809647 | − | 0.679375i | ||||
\(892\) | 20532.7 | 0.770724 | ||||||||
\(893\) | 173.091 | − | 106.734i | 0.00648631 | − | 0.00399967i | ||||
\(894\) | 597.312 | 0.0223458 | ||||||||
\(895\) | 24125.7 | + | 20243.8i | 0.901041 | + | 0.756063i | ||||
\(896\) | 2791.37 | − | 1015.98i | 0.104077 | − | 0.0378810i | ||||
\(897\) | −875.865 | − | 4967.28i | −0.0326023 | − | 0.184897i | ||||
\(898\) | 129.069 | − | 731.984i | 0.00479629 | − | 0.0272011i | ||||
\(899\) | −8435.17 | − | 3070.15i | −0.312935 | − | 0.113899i | ||||
\(900\) | 10115.5 | + | 17520.6i | 0.374649 | + | 0.648910i | ||||
\(901\) | −3819.66 | + | 6615.84i | −0.141233 | + | 0.244623i | ||||
\(902\) | −7261.37 | + | 6093.02i | −0.268046 | + | 0.224917i | ||||
\(903\) | 2009.76 | − | 1686.39i | 0.0740649 | − | 0.0621478i | ||||
\(904\) | −1431.70 | + | 2479.79i | −0.0526745 | + | 0.0912350i | ||||
\(905\) | 1775.89 | + | 3075.93i | 0.0652294 | + | 0.112981i | ||||
\(906\) | 507.892 | + | 184.857i | 0.0186243 | + | 0.00677867i | ||||
\(907\) | 3644.19 | − | 20667.2i | 0.133411 | − | 0.756609i | −0.842543 | − | 0.538630i | \(-0.818942\pi\) |
0.975953 | − | 0.217980i | \(-0.0699467\pi\) | |||||||
\(908\) | 2156.79 | + | 12231.8i | 0.0788279 | + | 0.447055i | ||||
\(909\) | 40165.0 | − | 14618.9i | 1.46555 | − | 0.533418i | ||||
\(910\) | 38988.7 | + | 32715.4i | 1.42029 | + | 1.19176i | ||||
\(911\) | 29347.4 | 1.06731 | 0.533657 | − | 0.845701i | \(-0.320817\pi\) | ||||
0.533657 | + | 0.845701i | \(0.320817\pi\) | |||||||
\(912\) | −717.966 | + | 442.722i | −0.0260683 | + | 0.0160745i | ||||
\(913\) | 17460.1 | 0.632910 | ||||||||
\(914\) | 7608.46 | + | 6384.25i | 0.275345 | + | 0.231042i | ||||
\(915\) | −6647.03 | + | 2419.32i | −0.240157 | + | 0.0874101i | ||||
\(916\) | −1626.78 | − | 9225.94i | −0.0586795 | − | 0.332788i | ||||
\(917\) | −8822.50 | + | 50034.9i | −0.317715 | + | 1.80185i | ||||
\(918\) | −4581.51 | − | 1667.53i | −0.164719 | − | 0.0599529i | ||||
\(919\) | −16785.2 | − | 29072.9i | −0.602495 | − | 1.04355i | −0.992442 | − | 0.122715i | \(-0.960840\pi\) |
0.389947 | − | 0.920837i | \(-0.372493\pi\) | |||||||
\(920\) | 9110.05 | − | 15779.1i | 0.326467 | − | 0.565457i | ||||
\(921\) | −664.609 | + | 557.674i | −0.0237781 | + | 0.0199522i | ||||
\(922\) | 11094.1 | − | 9309.09i | 0.396276 | − | 0.332515i | ||||
\(923\) | 31059.7 | − | 53797.0i | 1.10763 | − | 1.91847i | ||||
\(924\) | 1192.66 | + | 2065.75i | 0.0424629 | + | 0.0735479i | ||||
\(925\) | −23714.7 | − | 8631.46i | −0.842958 | − | 0.306812i | ||||
\(926\) | 149.523 | − | 847.987i | 0.00530630 | − | 0.0300935i | ||||
\(927\) | −2211.85 | − | 12544.0i | −0.0783676 | − | 0.444445i | ||||
\(928\) | 7195.16 | − | 2618.82i | 0.254518 | − | 0.0926369i | ||||
\(929\) | 1870.08 | + | 1569.18i | 0.0660444 | + | 0.0554179i | 0.675212 | − | 0.737623i | \(-0.264052\pi\) |
−0.609168 | + | 0.793041i | \(0.708496\pi\) | |||||||
\(930\) | −847.896 | −0.0298963 | ||||||||
\(931\) | 10047.7 | − | 12704.0i | 0.353705 | − | 0.447216i | ||||
\(932\) | 4192.58 | 0.147353 | ||||||||
\(933\) | −3451.98 | − | 2896.55i | −0.121128 | − | 0.101639i | ||||
\(934\) | −28256.4 | + | 10284.5i | −0.989911 | + | 0.360298i | ||||
\(935\) | −8892.47 | − | 50431.7i | −0.311032 | − | 1.76395i | ||||
\(936\) | −2281.98 | + | 12941.7i | −0.0796889 | + | 0.451938i | ||||
\(937\) | −22331.2 | − | 8127.88i | −0.778578 | − | 0.283379i | −0.0779986 | − | 0.996953i | \(-0.524853\pi\) |
−0.700580 | + | 0.713574i | \(0.747075\pi\) | |||||||
\(938\) | −4234.16 | − | 7333.78i | −0.147388 | − | 0.255284i | ||||
\(939\) | 95.3803 | − | 165.204i | 0.00331482 | − | 0.00574144i | ||||
\(940\) | −133.571 | + | 112.080i | −0.00463470 | + | 0.00388897i | ||||
\(941\) | −12978.9 | + | 10890.6i | −0.449628 | + | 0.377283i | −0.839298 | − | 0.543672i | \(-0.817034\pi\) |
0.389670 | + | 0.920955i | \(0.372589\pi\) | |||||||
\(942\) | 15.7106 | − | 27.2115i | 0.000543395 | − | 0.000941187i | ||||
\(943\) | 7531.00 | + | 13044.1i | 0.260067 | + | 0.450449i | ||||
\(944\) | −3702.20 | − | 1347.49i | −0.127644 | − | 0.0464587i | ||||
\(945\) | −2440.75 | + | 13842.2i | −0.0840187 | + | 0.476494i | ||||
\(946\) | 2489.84 | + | 14120.6i | 0.0855727 | + | 0.485307i | ||||
\(947\) | 3809.88 | − | 1386.68i | 0.130733 | − | 0.0475830i | −0.275825 | − | 0.961208i | \(-0.588951\pi\) |
0.406558 | + | 0.913625i | \(0.366729\pi\) | |||||||
\(948\) | 1708.32 | + | 1433.45i | 0.0585271 | + | 0.0491100i | ||||
\(949\) | −24116.0 | −0.824910 | ||||||||
\(950\) | −11626.5 | − | 29276.7i | −0.397068 | − | 0.999853i | ||||
\(951\) | 250.738 | 0.00854968 | ||||||||
\(952\) | −10162.6 | − | 8527.45i | −0.345979 | − | 0.290311i | ||||
\(953\) | −26618.6 | + | 9688.37i | −0.904786 | + | 0.329315i | −0.752169 | − | 0.658970i | \(-0.770992\pi\) |
−0.152617 | + | 0.988285i | \(0.548770\pi\) | |||||||
\(954\) | 987.442 | + | 5600.06i | 0.0335111 | + | 0.190051i | ||||
\(955\) | 4822.34 | − | 27348.8i | 0.163400 | − | 0.926689i | ||||
\(956\) | −12213.7 | − | 4445.43i | −0.413200 | − | 0.150393i | ||||
\(957\) | 3074.25 | + | 5324.76i | 0.103842 | + | 0.179859i | ||||
\(958\) | −10517.8 | + | 18217.3i | −0.354712 | + | 0.614378i | ||||
\(959\) | −31582.8 | + | 26501.1i | −1.06346 | + | 0.892352i | ||||
\(960\) | 554.042 | − | 464.896i | 0.0186267 | − | 0.0156296i | ||||
\(961\) | 14191.8 | − | 24580.9i | 0.476379 | − | 0.825113i | ||||
\(962\) | −8196.45 | − | 14196.7i | −0.274703 | − | 0.475800i | ||||
\(963\) | −25282.4 | − | 9202.03i | −0.846016 | − | 0.307925i | ||||
\(964\) | 4579.38 | − | 25971.0i | 0.153000 | − | 0.867706i | ||||
\(965\) | 5714.00 | + | 32405.7i | 0.190612 | + | 1.08101i | ||||
\(966\) | 3561.65 | − | 1296.33i | 0.118627 | − | 0.0431769i | ||||
\(967\) | 32538.5 | + | 27303.1i | 1.08208 | + | 0.907971i | 0.996092 | − | 0.0883258i | \(-0.0281516\pi\) |
0.0859856 | + | 0.996296i | \(0.472596\pi\) | |||||||
\(968\) | −2388.45 | −0.0793055 | ||||||||
\(969\) | 3315.53 | + | 1788.26i | 0.109917 | + | 0.0592851i | ||||
\(970\) | −33317.7 | −1.10285 | ||||||||
\(971\) | 8862.72 | + | 7436.71i | 0.292913 | + | 0.245783i | 0.777387 | − | 0.629022i | \(-0.216545\pi\) |
−0.484474 | + | 0.874805i | \(0.660989\pi\) | |||||||
\(972\) | −5128.38 | + | 1866.58i | −0.169231 | + | 0.0615952i | ||||
\(973\) | 4458.49 | + | 25285.4i | 0.146899 | + | 0.833105i | ||||
\(974\) | −4534.78 | + | 25718.0i | −0.149182 | + | 0.846056i | ||||
\(975\) | 7026.38 | + | 2557.39i | 0.230794 | + | 0.0840022i | ||||
\(976\) | −5007.52 | − | 8673.29i | −0.164228 | − | 0.284452i | ||||
\(977\) | −15047.9 | + | 26063.8i | −0.492759 | + | 0.853484i | −0.999965 | − | 0.00834089i | \(-0.997345\pi\) |
0.507206 | + | 0.861825i | \(0.330678\pi\) | |||||||
\(978\) | −892.181 | + | 748.629i | −0.0291706 | + | 0.0244770i | ||||
\(979\) | 11912.7 | − | 9995.95i | 0.388899 | − | 0.326325i | ||||
\(980\) | −6944.12 | + | 12027.6i | −0.226349 | + | 0.392048i | ||||
\(981\) | −26506.4 | − | 45910.4i | −0.862674 | − | 1.49419i | ||||
\(982\) | 24993.5 | + | 9096.89i | 0.812194 | + | 0.295614i | ||||
\(983\) | 7023.64 | − | 39833.0i | 0.227894 | − | 1.29245i | −0.629182 | − | 0.777258i | \(-0.716610\pi\) |
0.857076 | − | 0.515190i | \(-0.172279\pi\) | |||||||
\(984\) | 103.822 | + | 588.806i | 0.00336355 | + | 0.0190756i | ||||
\(985\) | 83562.1 | − | 30414.1i | 2.70306 | − | 0.983832i | ||||
\(986\) | −26195.6 | − | 21980.7i | −0.846082 | − | 0.709947i | ||||
\(987\) | −36.2722 | −0.00116976 | ||||||||
\(988\) | 6438.65 | − | 19422.4i | 0.207329 | − | 0.625415i | ||||
\(989\) | 22783.5 | 0.732530 | ||||||||
\(990\) | −29200.7 | − | 24502.3i | −0.937434 | − | 0.786601i | ||||
\(991\) | 21757.4 | − | 7919.04i | 0.697423 | − | 0.253841i | 0.0311126 | − | 0.999516i | \(-0.490095\pi\) |
0.666310 | + | 0.745675i | \(0.267873\pi\) | |||||||
\(992\) | −208.461 | − | 1182.24i | −0.00667201 | − | 0.0378388i | ||||
\(993\) | 561.424 | − | 3183.99i | 0.0179418 | − | 0.101753i | ||||
\(994\) | 43864.3 | + | 15965.3i | 1.39969 | + | 0.509445i | ||||
\(995\) | 17219.8 | + | 29825.6i | 0.548649 | + | 0.950288i | ||||
\(996\) | 550.647 | − | 953.749i | 0.0175180 | − | 0.0303421i | ||||
\(997\) | −2747.60 | + | 2305.51i | −0.0872793 | + | 0.0732361i | −0.685383 | − | 0.728182i | \(-0.740365\pi\) |
0.598104 | + | 0.801418i | \(0.295921\pi\) | |||||||
\(998\) | −14249.6 | + | 11956.9i | −0.451968 | + | 0.379246i | ||||
\(999\) | 2263.57 | − | 3920.63i | 0.0716880 | − | 0.124167i |
(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 | 38.4.e.b.35.2 | yes | 18 | |
19.5 | even | 9 | 722.4.a.t.1.5 | 9 | |||
19.6 | even | 9 | inner | 38.4.e.b.25.2 | ✓ | 18 | |
19.14 | odd | 18 | 722.4.a.u.1.5 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.4.e.b.25.2 | ✓ | 18 | 19.6 | even | 9 | inner | |
38.4.e.b.35.2 | yes | 18 | 1.1 | even | 1 | trivial | |
722.4.a.t.1.5 | 9 | 19.5 | even | 9 | |||
722.4.a.u.1.5 | 9 | 19.14 | odd | 18 |