Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(43,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.s (of order \(6\), degree \(2\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 43.6 | ||
Character | \(\chi\) | \(=\) | 572.43 |
Dual form | 572.2.s.a.439.6 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37518 | + | 0.329974i | −0.972398 | + | 0.233327i | ||||
\(3\) | −0.622539 | − | 0.359423i | −0.359423 | − | 0.207513i | 0.309405 | − | 0.950930i | \(-0.399870\pi\) |
−0.668828 | + | 0.743418i | \(0.733204\pi\) | |||||||
\(4\) | 1.78223 | − | 0.907548i | 0.891117 | − | 0.453774i | ||||
\(5\) | − | 2.91525i | − | 1.30374i | −0.758331 | − | 0.651870i | \(-0.773985\pi\) | ||
0.758331 | − | 0.651870i | \(-0.226015\pi\) | |||||||
\(6\) | 0.974703 | + | 0.288849i | 0.397921 | + | 0.117922i | ||||
\(7\) | 4.00752 | − | 2.31374i | 1.51470 | − | 0.874512i | 0.514848 | − | 0.857282i | \(-0.327848\pi\) |
0.999852 | − | 0.0172305i | \(-0.00548490\pi\) | |||||||
\(8\) | −2.15142 | + | 1.83613i | −0.760643 | + | 0.649171i | ||||
\(9\) | −1.24163 | − | 2.15057i | −0.413877 | − | 0.716856i | ||||
\(10\) | 0.961958 | + | 4.00899i | 0.304198 | + | 1.26775i | ||||
\(11\) | 3.25587 | + | 0.631899i | 0.981682 | + | 0.190525i | ||||
\(12\) | −1.43570 | − | 0.0755922i | −0.414452 | − | 0.0218216i | ||||
\(13\) | 2.91119 | − | 2.12719i | 0.807420 | − | 0.589977i | ||||
\(14\) | −4.74758 | + | 4.50419i | −1.26884 | + | 1.20379i | ||||
\(15\) | −1.04781 | + | 1.81486i | −0.270543 | + | 0.468594i | ||||
\(16\) | 2.35272 | − | 3.23492i | 0.588179 | − | 0.808731i | ||||
\(17\) | −3.76678 | + | 2.17475i | −0.913579 | + | 0.527455i | −0.881581 | − | 0.472033i | \(-0.843520\pi\) |
−0.0319979 | + | 0.999488i | \(0.510187\pi\) | |||||||
\(18\) | 2.41710 | + | 2.54771i | 0.569715 | + | 0.600501i | ||||
\(19\) | −1.85637 | + | 1.07178i | −0.425881 | + | 0.245883i | −0.697591 | − | 0.716497i | \(-0.745744\pi\) |
0.271709 | + | 0.962379i | \(0.412411\pi\) | |||||||
\(20\) | −2.64573 | − | 5.19566i | −0.591603 | − | 1.16178i | ||||
\(21\) | −3.32645 | −0.725890 | ||||||||
\(22\) | −4.68592 | + | 0.205380i | −0.999041 | + | 0.0437872i | ||||
\(23\) | 1.45298 | + | 0.838881i | 0.302968 | + | 0.174919i | 0.643775 | − | 0.765214i | \(-0.277367\pi\) |
−0.340807 | + | 0.940133i | \(0.610700\pi\) | |||||||
\(24\) | 1.99929 | − | 0.369792i | 0.408104 | − | 0.0754836i | ||||
\(25\) | −3.49869 | −0.699738 | ||||||||
\(26\) | −3.30149 | + | 3.88589i | −0.647476 | + | 0.762086i | ||||
\(27\) | 3.94162i | 0.758565i | ||||||||
\(28\) | 5.04250 | − | 7.76064i | 0.952944 | − | 1.46662i | ||||
\(29\) | −1.43446 | − | 0.828186i | −0.266373 | − | 0.153790i | 0.360865 | − | 0.932618i | \(-0.382481\pi\) |
−0.627238 | + | 0.778828i | \(0.715815\pi\) | |||||||
\(30\) | 0.842068 | − | 2.84150i | 0.153740 | − | 0.518785i | ||||
\(31\) | 2.84877 | 0.511654 | 0.255827 | − | 0.966723i | \(-0.417652\pi\) | ||||
0.255827 | + | 0.966723i | \(0.417652\pi\) | |||||||
\(32\) | −2.16796 | + | 5.22493i | −0.383245 | + | 0.923647i | ||||
\(33\) | −1.79979 | − | 1.56362i | −0.313303 | − | 0.272191i | ||||
\(34\) | 4.46239 | − | 4.23362i | 0.765293 | − | 0.726059i | ||||
\(35\) | −6.74514 | − | 11.6829i | −1.14014 | − | 1.97477i | ||||
\(36\) | −4.16462 | − | 2.70597i | −0.694103 | − | 0.450996i | ||||
\(37\) | −3.68360 | − | 2.12673i | −0.605580 | − | 0.349632i | 0.165654 | − | 0.986184i | \(-0.447027\pi\) |
−0.771233 | + | 0.636552i | \(0.780360\pi\) | |||||||
\(38\) | 2.19919 | − | 2.08644i | 0.356755 | − | 0.338466i | ||||
\(39\) | −2.57689 | + | 0.277909i | −0.412633 | + | 0.0445011i | ||||
\(40\) | 5.35279 | + | 6.27194i | 0.846350 | + | 0.991681i | ||||
\(41\) | −4.60908 | + | 7.98316i | −0.719817 | + | 1.24676i | 0.241255 | + | 0.970462i | \(0.422441\pi\) |
−0.961072 | + | 0.276298i | \(0.910892\pi\) | |||||||
\(42\) | 4.57446 | − | 1.09764i | 0.705854 | − | 0.169370i | ||||
\(43\) | 0.0570117 | + | 0.0987471i | 0.00869420 | + | 0.0150588i | 0.870340 | − | 0.492452i | \(-0.163899\pi\) |
−0.861646 | + | 0.507510i | \(0.830566\pi\) | |||||||
\(44\) | 6.37620 | − | 1.82867i | 0.961249 | − | 0.275682i | ||||
\(45\) | −6.26944 | + | 3.61966i | −0.934593 | + | 0.539588i | ||||
\(46\) | −2.27492 | − | 0.674164i | −0.335419 | − | 0.0994000i | ||||
\(47\) | 10.1873 | 1.48597 | 0.742986 | − | 0.669307i | \(-0.233409\pi\) | ||||
0.742986 | + | 0.669307i | \(0.233409\pi\) | |||||||
\(48\) | −2.62736 | + | 1.16825i | −0.379227 | + | 0.168622i | ||||
\(49\) | 7.20680 | − | 12.4825i | 1.02954 | − | 1.78322i | ||||
\(50\) | 4.81133 | − | 1.15448i | 0.680425 | − | 0.163268i | ||||
\(51\) | 3.12662 | 0.437815 | ||||||||
\(52\) | 3.25790 | − | 6.43320i | 0.451790 | − | 0.892124i | ||||
\(53\) | 1.88818 | 0.259361 | 0.129680 | − | 0.991556i | \(-0.458605\pi\) | ||||
0.129680 | + | 0.991556i | \(0.458605\pi\) | |||||||
\(54\) | −1.30063 | − | 5.42043i | −0.176994 | − | 0.737627i | ||||
\(55\) | 1.84214 | − | 9.49169i | 0.248395 | − | 1.27986i | ||||
\(56\) | −4.37353 | + | 12.3362i | −0.584438 | + | 1.64849i | ||||
\(57\) | 1.54089 | 0.204095 | ||||||||
\(58\) | 2.24592 | + | 0.665569i | 0.294904 | + | 0.0873935i | ||||
\(59\) | −6.71441 | − | 11.6297i | −0.874142 | − | 1.51406i | −0.857674 | − | 0.514194i | \(-0.828091\pi\) |
−0.0164679 | − | 0.999864i | \(-0.505242\pi\) | |||||||
\(60\) | −0.220370 | + | 4.18544i | −0.0284497 | + | 0.540337i | ||||
\(61\) | 10.1518 | − | 5.86113i | 1.29980 | − | 0.750440i | 0.319431 | − | 0.947609i | \(-0.396508\pi\) |
0.980370 | + | 0.197169i | \(0.0631748\pi\) | |||||||
\(62\) | −3.91757 | + | 0.940021i | −0.497532 | + | 0.119383i | ||||
\(63\) | −9.95171 | − | 5.74562i | −1.25380 | − | 0.723880i | ||||
\(64\) | 1.25724 | − | 7.90059i | 0.157155 | − | 0.987574i | ||||
\(65\) | −6.20130 | − | 8.48687i | −0.769177 | − | 1.05267i | ||||
\(66\) | 2.99098 | + | 1.55637i | 0.368165 | + | 0.191576i | ||||
\(67\) | −3.39711 | + | 5.88396i | −0.415023 | + | 0.718841i | −0.995431 | − | 0.0954852i | \(-0.969560\pi\) |
0.580408 | + | 0.814326i | \(0.302893\pi\) | |||||||
\(68\) | −4.73960 | + | 7.29445i | −0.574760 | + | 0.884582i | ||||
\(69\) | −0.603026 | − | 1.04447i | −0.0725958 | − | 0.125740i | ||||
\(70\) | 13.1308 | + | 13.8404i | 1.56944 | + | 1.65424i | ||||
\(71\) | −1.78354 | − | 3.08919i | −0.211668 | − | 0.366619i | 0.740569 | − | 0.671980i | \(-0.234556\pi\) |
−0.952237 | + | 0.305361i | \(0.901223\pi\) | |||||||
\(72\) | 6.62000 | + | 2.34698i | 0.780174 | + | 0.276594i | ||||
\(73\) | −10.6906 | −1.25124 | −0.625620 | − | 0.780128i | \(-0.715154\pi\) | ||||
−0.625620 | + | 0.780128i | \(0.715154\pi\) | |||||||
\(74\) | 5.76737 | + | 1.70914i | 0.670443 | + | 0.198683i | ||||
\(75\) | 2.17807 | + | 1.25751i | 0.251502 | + | 0.145205i | ||||
\(76\) | −2.33580 | + | 3.59491i | −0.267935 | + | 0.412364i | ||||
\(77\) | 14.5100 | − | 5.00090i | 1.65357 | − | 0.569905i | ||||
\(78\) | 3.45199 | − | 1.23248i | 0.390860 | − | 0.139551i | ||||
\(79\) | −1.97986 | −0.222752 | −0.111376 | − | 0.993778i | \(-0.535526\pi\) | ||||
−0.111376 | + | 0.993778i | \(0.535526\pi\) | |||||||
\(80\) | −9.43062 | − | 6.85876i | −1.05438 | − | 0.766832i | ||||
\(81\) | −2.30818 | + | 3.99789i | −0.256465 | + | 0.444210i | ||||
\(82\) | 3.70407 | − | 12.4991i | 0.409046 | − | 1.38030i | ||||
\(83\) | 12.7567i | 1.40023i | 0.714028 | + | 0.700117i | \(0.246869\pi\) | ||||
−0.714028 | + | 0.700117i | \(0.753131\pi\) | |||||||
\(84\) | −5.92851 | + | 3.01891i | −0.646853 | + | 0.329390i | ||||
\(85\) | 6.33995 | + | 10.9811i | 0.687664 | + | 1.19107i | ||||
\(86\) | −0.110985 | − | 0.116983i | −0.0119678 | − | 0.0126146i | ||||
\(87\) | 0.595338 | + | 1.03116i | 0.0638269 | + | 0.110551i | ||||
\(88\) | −8.16501 | + | 4.61873i | −0.870393 | + | 0.492358i | ||||
\(89\) | 10.8016 | + | 6.23631i | 1.14497 | + | 0.661048i | 0.947656 | − | 0.319293i | \(-0.103445\pi\) |
0.197313 | + | 0.980341i | \(0.436779\pi\) | |||||||
\(90\) | 7.42721 | − | 7.04644i | 0.782897 | − | 0.742760i | ||||
\(91\) | 6.74489 | − | 15.2605i | 0.707057 | − | 1.59974i | ||||
\(92\) | 3.35088 | + | 0.176430i | 0.349354 | + | 0.0183941i | ||||
\(93\) | −1.77347 | − | 1.02391i | −0.183900 | − | 0.106175i | ||||
\(94\) | −14.0094 | + | 3.36155i | −1.44496 | + | 0.346718i | ||||
\(95\) | 3.12450 | + | 5.41180i | 0.320567 | + | 0.555239i | ||||
\(96\) | 3.22760 | − | 2.47351i | 0.329416 | − | 0.252451i | ||||
\(97\) | −6.47679 | + | 3.73938i | −0.657619 | + | 0.379676i | −0.791369 | − | 0.611339i | \(-0.790631\pi\) |
0.133750 | + | 0.991015i | \(0.457298\pi\) | |||||||
\(98\) | −5.79172 | + | 19.5438i | −0.585052 | + | 1.97422i | ||||
\(99\) | −2.68365 | − | 7.78656i | −0.269717 | − | 0.782578i | ||||
\(100\) | −6.23549 | + | 3.17523i | −0.623549 | + | 0.317523i | ||||
\(101\) | −14.3556 | − | 8.28821i | −1.42844 | − | 0.824708i | −0.431438 | − | 0.902142i | \(-0.641994\pi\) |
−0.996997 | + | 0.0774348i | \(0.975327\pi\) | |||||||
\(102\) | −4.29967 | + | 1.03171i | −0.425730 | + | 0.102154i | ||||
\(103\) | 11.8678i | 1.16937i | 0.811261 | + | 0.584685i | \(0.198782\pi\) | ||||
−0.811261 | + | 0.584685i | \(0.801218\pi\) | |||||||
\(104\) | −2.35741 | + | 9.92183i | −0.231163 | + | 0.972915i | ||||
\(105\) | 9.69743i | 0.946372i | ||||||||
\(106\) | −2.59658 | + | 0.623050i | −0.252202 | + | 0.0605159i | ||||
\(107\) | 5.70299 | − | 9.87786i | 0.551329 | − | 0.954929i | −0.446850 | − | 0.894609i | \(-0.647454\pi\) |
0.998179 | − | 0.0603204i | \(-0.0192123\pi\) | |||||||
\(108\) | 3.57721 | + | 7.02489i | 0.344217 | + | 0.675970i | ||||
\(109\) | 1.31148 | 0.125617 | 0.0628084 | − | 0.998026i | \(-0.479994\pi\) | ||||
0.0628084 | + | 0.998026i | \(0.479994\pi\) | |||||||
\(110\) | 0.598735 | + | 13.6606i | 0.0570871 | + | 1.30249i | ||||
\(111\) | 1.52879 | + | 2.64794i | 0.145106 | + | 0.251331i | ||||
\(112\) | 1.94377 | − | 18.4076i | 0.183669 | − | 1.73935i | ||||
\(113\) | 1.62523 | + | 2.81498i | 0.152889 | + | 0.264811i | 0.932288 | − | 0.361716i | \(-0.117809\pi\) |
−0.779399 | + | 0.626527i | \(0.784476\pi\) | |||||||
\(114\) | −2.11899 | + | 0.508453i | −0.198462 | + | 0.0476210i | ||||
\(115\) | 2.44555 | − | 4.23581i | 0.228049 | − | 0.394992i | ||||
\(116\) | −3.30816 | − | 0.174180i | −0.307155 | − | 0.0161722i | ||||
\(117\) | −8.18930 | − | 3.61953i | −0.757101 | − | 0.334626i | ||||
\(118\) | 13.0710 | + | 13.7773i | 1.20328 | + | 1.26831i | ||||
\(119\) | −10.0636 | + | 17.4307i | −0.922531 | + | 1.59787i | ||||
\(120\) | −1.07804 | − | 5.82844i | −0.0984109 | − | 0.532061i | ||||
\(121\) | 10.2014 | + | 4.11476i | 0.927401 | + | 0.374069i | ||||
\(122\) | −12.0265 | + | 11.4099i | −1.08883 | + | 1.03301i | ||||
\(123\) | 5.73866 | − | 3.31322i | 0.517437 | − | 0.298743i | ||||
\(124\) | 5.07717 | − | 2.58539i | 0.455944 | − | 0.232175i | ||||
\(125\) | − | 4.37669i | − | 0.391463i | ||||||
\(126\) | 15.5813 | + | 4.61745i | 1.38809 | + | 0.411355i | ||||
\(127\) | −5.62820 | + | 9.74833i | −0.499422 | + | 0.865024i | −1.00000 | 0.000667308i | \(-0.999788\pi\) | |
0.500578 | + | 0.865692i | \(0.333121\pi\) | |||||||
\(128\) | 0.878061 | + | 11.2796i | 0.0776103 | + | 0.996984i | ||||
\(129\) | − | 0.0819652i | − | 0.00721663i | ||||||
\(130\) | 11.3283 | + | 9.62469i | 0.993562 | + | 0.844141i | ||||
\(131\) | 9.95784 | 0.870020 | 0.435010 | − | 0.900426i | \(-0.356745\pi\) | ||||
0.435010 | + | 0.900426i | \(0.356745\pi\) | |||||||
\(132\) | −4.62670 | − | 1.15334i | −0.402702 | − | 0.100385i | ||||
\(133\) | −4.95964 | + | 8.59034i | −0.430055 | + | 0.744877i | ||||
\(134\) | 2.73007 | − | 9.21246i | 0.235842 | − | 0.795835i | ||||
\(135\) | 11.4908 | 0.988972 | ||||||||
\(136\) | 4.11081 | − | 11.5951i | 0.352499 | − | 0.994273i | ||||
\(137\) | −16.8462 | + | 9.72613i | −1.43926 | + | 0.830959i | −0.997798 | − | 0.0663190i | \(-0.978874\pi\) |
−0.441465 | + | 0.897278i | \(0.645541\pi\) | |||||||
\(138\) | 1.17392 | + | 1.23735i | 0.0999305 | + | 0.105330i | ||||
\(139\) | −1.01506 | − | 1.75813i | −0.0860962 | − | 0.149123i | 0.819762 | − | 0.572705i | \(-0.194106\pi\) |
−0.905858 | + | 0.423582i | \(0.860773\pi\) | |||||||
\(140\) | −22.6242 | − | 14.7002i | −1.91210 | − | 1.24239i | ||||
\(141\) | −6.34200 | − | 3.66155i | −0.534093 | − | 0.308358i | ||||
\(142\) | 3.47204 | + | 3.65966i | 0.291367 | + | 0.307112i | ||||
\(143\) | 10.8226 | − | 5.08628i | 0.905035 | − | 0.425336i | ||||
\(144\) | −9.87812 | − | 1.04309i | −0.823177 | − | 0.0869243i | ||||
\(145\) | −2.41437 | + | 4.18181i | −0.200503 | + | 0.347281i | ||||
\(146\) | 14.7015 | − | 3.52762i | 1.21670 | − | 0.291948i | ||||
\(147\) | −8.97302 | + | 5.18058i | −0.740083 | + | 0.427287i | ||||
\(148\) | −8.49514 | − | 0.447283i | −0.698296 | − | 0.0367665i | ||||
\(149\) | −5.01492 | − | 8.68609i | −0.410838 | − | 0.711592i | 0.584144 | − | 0.811650i | \(-0.301430\pi\) |
−0.994982 | + | 0.100058i | \(0.968097\pi\) | |||||||
\(150\) | −3.41018 | − | 1.01059i | −0.278440 | − | 0.0825146i | ||||
\(151\) | 13.6452i | 1.11043i | 0.831707 | + | 0.555215i | \(0.187364\pi\) | ||||
−0.831707 | + | 0.555215i | \(0.812636\pi\) | |||||||
\(152\) | 2.02592 | − | 5.71440i | 0.164324 | − | 0.463499i | ||||
\(153\) | 9.35390 | + | 5.40048i | 0.756218 | + | 0.436603i | ||||
\(154\) | −18.3037 | + | 11.6651i | −1.47495 | + | 0.939998i | ||||
\(155\) | − | 8.30488i | − | 0.667064i | ||||||
\(156\) | −4.34041 | + | 2.83395i | −0.347511 | + | 0.226898i | ||||
\(157\) | 19.6742 | 1.57017 | 0.785085 | − | 0.619388i | \(-0.212619\pi\) | ||||
0.785085 | + | 0.619388i | \(0.212619\pi\) | |||||||
\(158\) | 2.72267 | − | 0.653304i | 0.216604 | − | 0.0519741i | ||||
\(159\) | −1.17546 | − | 0.678654i | −0.0932202 | − | 0.0538207i | ||||
\(160\) | 15.2320 | + | 6.32016i | 1.20420 | + | 0.499652i | ||||
\(161\) | 7.76381 | 0.611874 | ||||||||
\(162\) | 1.85496 | − | 6.25945i | 0.145740 | − | 0.491789i | ||||
\(163\) | 7.13145 | + | 12.3520i | 0.558578 | + | 0.967486i | 0.997615 | + | 0.0690168i | \(0.0219862\pi\) |
−0.439037 | + | 0.898469i | \(0.644680\pi\) | |||||||
\(164\) | −0.969360 | + | 18.4108i | −0.0756943 | + | 1.43764i | ||||
\(165\) | −4.55834 | + | 5.24683i | −0.354866 | + | 0.408465i | ||||
\(166\) | −4.20940 | − | 17.5428i | −0.326713 | − | 1.36159i | ||||
\(167\) | 11.4360 | + | 6.60257i | 0.884943 | + | 0.510922i | 0.872285 | − | 0.488998i | \(-0.162637\pi\) |
0.0126578 | + | 0.999920i | \(0.495971\pi\) | |||||||
\(168\) | 7.15659 | − | 6.10779i | 0.552143 | − | 0.471227i | ||||
\(169\) | 3.95011 | − | 12.3853i | 0.303855 | − | 0.952718i | ||||
\(170\) | −12.3421 | − | 13.0090i | −0.946592 | − | 0.997743i | ||||
\(171\) | 4.60986 | + | 2.66150i | 0.352525 | + | 0.203530i | ||||
\(172\) | 0.191226 | + | 0.124250i | 0.0145808 | + | 0.00947394i | ||||
\(173\) | 0.304514 | − | 0.175811i | 0.0231517 | − | 0.0133667i | −0.488379 | − | 0.872631i | \(-0.662412\pi\) |
0.511531 | + | 0.859265i | \(0.329078\pi\) | |||||||
\(174\) | −1.15895 | − | 1.22158i | −0.0878599 | − | 0.0926075i | ||||
\(175\) | −14.0211 | + | 8.09507i | −1.05989 | + | 0.611930i | ||||
\(176\) | 9.70428 | − | 9.04582i | 0.731488 | − | 0.681854i | ||||
\(177\) | 9.65325i | 0.725583i | ||||||||
\(178\) | −16.9120 | − | 5.01179i | −1.26761 | − | 0.375650i | ||||
\(179\) | −9.12304 | − | 5.26719i | −0.681888 | − | 0.393688i | 0.118678 | − | 0.992933i | \(-0.462134\pi\) |
−0.800566 | + | 0.599245i | \(0.795468\pi\) | |||||||
\(180\) | −7.88860 | + | 12.1409i | −0.587981 | + | 0.904930i | ||||
\(181\) | 7.71981 | 0.573809 | 0.286905 | − | 0.957959i | \(-0.407374\pi\) | ||||
0.286905 | + | 0.957959i | \(0.407374\pi\) | |||||||
\(182\) | −4.23986 | + | 23.2116i | −0.314279 | + | 1.72056i | ||||
\(183\) | −8.42649 | −0.622904 | ||||||||
\(184\) | −4.66628 | + | 0.863083i | −0.344003 | + | 0.0636273i | ||||
\(185\) | −6.19994 | + | 10.7386i | −0.455829 | + | 0.789519i | ||||
\(186\) | 2.77670 | + | 0.822864i | 0.203598 | + | 0.0603353i | ||||
\(187\) | −13.6384 | + | 4.70049i | −0.997337 | + | 0.343734i | ||||
\(188\) | 18.1562 | − | 9.24547i | 1.32418 | − | 0.674295i | ||||
\(189\) | 9.11989 | + | 15.7961i | 0.663374 | + | 1.14900i | ||||
\(190\) | −6.08251 | − | 6.41118i | −0.441271 | − | 0.465116i | ||||
\(191\) | −11.8545 | + | 6.84419i | −0.857760 | + | 0.495228i | −0.863262 | − | 0.504757i | \(-0.831582\pi\) |
0.00550138 | + | 0.999985i | \(0.498249\pi\) | |||||||
\(192\) | −3.62234 | + | 4.46654i | −0.261420 | + | 0.322345i | ||||
\(193\) | −2.33029 | + | 4.03619i | −0.167738 | + | 0.290531i | −0.937624 | − | 0.347650i | \(-0.886980\pi\) |
0.769886 | + | 0.638181i | \(0.220313\pi\) | |||||||
\(194\) | 7.67285 | − | 7.27949i | 0.550878 | − | 0.522637i | ||||
\(195\) | 0.810176 | + | 7.51229i | 0.0580179 | + | 0.537966i | ||||
\(196\) | 1.51570 | − | 28.7873i | 0.108264 | − | 2.05624i | ||||
\(197\) | −1.71268 | + | 2.96646i | −0.122024 | + | 0.211351i | −0.920566 | − | 0.390588i | \(-0.872272\pi\) |
0.798542 | + | 0.601939i | \(0.205605\pi\) | |||||||
\(198\) | 6.25986 | + | 9.82237i | 0.444869 | + | 0.698046i | ||||
\(199\) | 8.49991 | − | 4.90743i | 0.602543 | − | 0.347878i | −0.167498 | − | 0.985872i | \(-0.553569\pi\) |
0.770041 | + | 0.637994i | \(0.220236\pi\) | |||||||
\(200\) | 7.52717 | − | 6.42406i | 0.532251 | − | 0.454250i | ||||
\(201\) | 4.22966 | − | 2.44200i | 0.298337 | − | 0.172245i | ||||
\(202\) | 22.4764 | + | 6.66079i | 1.58144 | + | 0.468652i | ||||
\(203\) | −7.66483 | −0.537966 | ||||||||
\(204\) | 5.57237 | − | 2.83756i | 0.390144 | − | 0.198669i | ||||
\(205\) | 23.2729 | + | 13.4366i | 1.62545 | + | 0.938454i | ||||
\(206\) | −3.91607 | − | 16.3204i | −0.272846 | − | 1.13709i | ||||
\(207\) | − | 4.16632i | − | 0.289579i | ||||||
\(208\) | −0.0320920 | − | 14.4222i | −0.00222518 | − | 0.999998i | ||||
\(209\) | −6.72137 | + | 2.31653i | −0.464927 | + | 0.160238i | ||||
\(210\) | −3.19990 | − | 13.3357i | −0.220814 | − | 0.920251i | ||||
\(211\) | 0.247474 | − | 0.428638i | 0.0170368 | − | 0.0295087i | −0.857381 | − | 0.514682i | \(-0.827910\pi\) |
0.874418 | + | 0.485173i | \(0.161243\pi\) | |||||||
\(212\) | 3.36517 | − | 1.71361i | 0.231121 | − | 0.117691i | ||||
\(213\) | 2.56418i | 0.175695i | ||||||||
\(214\) | −4.58319 | + | 15.4657i | −0.313300 | + | 1.05721i | ||||
\(215\) | 0.287873 | − | 0.166203i | 0.0196327 | − | 0.0113350i | ||||
\(216\) | −7.23733 | − | 8.48009i | −0.492438 | − | 0.576997i | ||||
\(217\) | 11.4165 | − | 6.59132i | 0.775002 | − | 0.447448i | ||||
\(218\) | −1.80352 | + | 0.432754i | −0.122150 | + | 0.0293098i | ||||
\(219\) | 6.65531 | + | 3.84245i | 0.449724 | + | 0.259648i | ||||
\(220\) | −5.33102 | − | 18.5882i | −0.359418 | − | 1.25322i | ||||
\(221\) | −6.33972 | + | 14.3438i | −0.426456 | + | 0.964868i | ||||
\(222\) | −2.97611 | − | 3.13693i | −0.199743 | − | 0.210537i | ||||
\(223\) | −0.239198 | + | 0.414303i | −0.0160179 | + | 0.0277438i | −0.873923 | − | 0.486064i | \(-0.838432\pi\) |
0.857905 | + | 0.513808i | \(0.171766\pi\) | |||||||
\(224\) | 3.40100 | + | 25.9551i | 0.227239 | + | 1.73420i | ||||
\(225\) | 4.34408 | + | 7.52417i | 0.289606 | + | 0.501611i | ||||
\(226\) | −3.16386 | − | 3.33482i | −0.210457 | − | 0.221829i | ||||
\(227\) | −0.516268 | + | 0.298067i | −0.0342659 | + | 0.0197834i | −0.517035 | − | 0.855964i | \(-0.672964\pi\) |
0.482769 | + | 0.875748i | \(0.339631\pi\) | |||||||
\(228\) | 2.74622 | − | 1.39843i | 0.181873 | − | 0.0926131i | ||||
\(229\) | − | 13.4146i | − | 0.886465i | −0.896407 | − | 0.443232i | \(-0.853832\pi\) | ||
0.896407 | − | 0.443232i | \(-0.146168\pi\) | |||||||
\(230\) | −1.96536 | + | 6.63197i | −0.129592 | + | 0.437299i | ||||
\(231\) | −10.8305 | − | 2.10198i | −0.712594 | − | 0.138300i | ||||
\(232\) | 4.60679 | − | 0.852079i | 0.302450 | − | 0.0559417i | ||||
\(233\) | − | 10.9175i | − | 0.715230i | −0.933869 | − | 0.357615i | \(-0.883590\pi\) | ||
0.933869 | − | 0.357615i | \(-0.116410\pi\) | |||||||
\(234\) | 12.4561 | + | 2.27525i | 0.814281 | + | 0.148738i | ||||
\(235\) | − | 29.6986i | − | 1.93732i | ||||||
\(236\) | −22.5212 | − | 14.6332i | −1.46600 | − | 0.952540i | ||||
\(237\) | 1.23254 | + | 0.711608i | 0.0800622 | + | 0.0462239i | ||||
\(238\) | 8.08760 | − | 27.2911i | 0.524241 | − | 1.76902i | ||||
\(239\) | − | 7.43927i | − | 0.481207i | −0.970624 | − | 0.240603i | \(-0.922655\pi\) | ||
0.970624 | − | 0.240603i | \(-0.0773453\pi\) | |||||||
\(240\) | 3.40573 | + | 7.65942i | 0.219839 | + | 0.494414i | ||||
\(241\) | 4.14314 | + | 7.17614i | 0.266883 | + | 0.462255i | 0.968055 | − | 0.250737i | \(-0.0806728\pi\) |
−0.701172 | + | 0.712992i | \(0.747339\pi\) | |||||||
\(242\) | −15.3865 | − | 2.29233i | −0.989083 | − | 0.147357i | ||||
\(243\) | 13.1145 | − | 7.57166i | 0.841295 | − | 0.485722i | ||||
\(244\) | 12.7736 | − | 19.6591i | 0.817744 | − | 1.25855i | ||||
\(245\) | −36.3898 | − | 21.0096i | −2.32486 | − | 1.34226i | ||||
\(246\) | −6.79841 | + | 6.44987i | −0.433451 | + | 0.411229i | ||||
\(247\) | −3.12439 | + | 7.06902i | −0.198800 | + | 0.449791i | ||||
\(248\) | −6.12891 | + | 5.23072i | −0.389186 | + | 0.332151i | ||||
\(249\) | 4.58506 | − | 7.94156i | 0.290567 | − | 0.503276i | ||||
\(250\) | 1.44420 | + | 6.01873i | 0.0913389 | + | 0.380658i | ||||
\(251\) | 23.6229 | − | 13.6387i | 1.49107 | − | 0.860868i | 0.491119 | − | 0.871092i | \(-0.336588\pi\) |
0.999948 | + | 0.0102246i | \(0.00325465\pi\) | |||||||
\(252\) | −22.9507 | − | 1.20839i | −1.44576 | − | 0.0761216i | ||||
\(253\) | 4.20064 | + | 3.64943i | 0.264092 | + | 0.229438i | ||||
\(254\) | 4.52308 | − | 15.2629i | 0.283803 | − | 0.957677i | ||||
\(255\) | − | 9.11489i | − | 0.570797i | ||||||
\(256\) | −4.92946 | − | 15.2217i | −0.308091 | − | 0.951357i | ||||
\(257\) | 15.6381 | − | 27.0859i | 0.975476 | − | 1.68957i | 0.297119 | − | 0.954841i | \(-0.403974\pi\) |
0.678357 | − | 0.734733i | \(-0.262692\pi\) | |||||||
\(258\) | 0.0270464 | + | 0.112717i | 0.00168384 | + | 0.00701744i | ||||
\(259\) | −19.6828 | −1.22303 | ||||||||
\(260\) | −18.7544 | − | 9.49760i | −1.16310 | − | 0.589016i | ||||
\(261\) | 4.11320i | 0.254601i | ||||||||
\(262\) | −13.6938 | + | 3.28583i | −0.846006 | + | 0.202999i | ||||
\(263\) | −3.78965 | + | 6.56386i | −0.233680 | + | 0.404745i | −0.958888 | − | 0.283784i | \(-0.908410\pi\) |
0.725208 | + | 0.688529i | \(0.241743\pi\) | |||||||
\(264\) | 6.74311 | + | 0.0593538i | 0.415010 | + | 0.00365297i | ||||
\(265\) | − | 5.50451i | − | 0.338139i | ||||||
\(266\) | 3.98579 | − | 13.4498i | 0.244385 | − | 0.824661i | ||||
\(267\) | −4.48295 | − | 7.76469i | −0.274352 | − | 0.475192i | ||||
\(268\) | −0.714464 | + | 13.5696i | −0.0436429 | + | 0.828898i | ||||
\(269\) | −3.68272 | − | 6.37865i | −0.224539 | − | 0.388913i | 0.731642 | − | 0.681689i | \(-0.238754\pi\) |
−0.956181 | + | 0.292776i | \(0.905421\pi\) | |||||||
\(270\) | −15.8019 | + | 3.79167i | −0.961674 | + | 0.230754i | ||||
\(271\) | −8.87025 | − | 5.12124i | −0.538829 | − | 0.311093i | 0.205775 | − | 0.978599i | \(-0.434028\pi\) |
−0.744604 | + | 0.667506i | \(0.767362\pi\) | |||||||
\(272\) | −1.82701 | + | 17.3018i | −0.110779 | + | 1.04908i | ||||
\(273\) | −9.68393 | + | 7.07599i | −0.586098 | + | 0.428258i | ||||
\(274\) | 19.9571 | − | 18.9340i | 1.20565 | − | 1.14384i | ||||
\(275\) | −11.3913 | − | 2.21082i | −0.686921 | − | 0.133317i | ||||
\(276\) | −2.02264 | − | 1.31422i | −0.121749 | − | 0.0791066i | ||||
\(277\) | 15.1305 | − | 8.73557i | 0.909101 | − | 0.524870i | 0.0289590 | − | 0.999581i | \(-0.490781\pi\) |
0.880142 | + | 0.474711i | \(0.157447\pi\) | |||||||
\(278\) | 1.97603 | + | 2.08280i | 0.118514 | + | 0.124918i | ||||
\(279\) | −3.53712 | − | 6.12647i | −0.211762 | − | 0.366782i | ||||
\(280\) | 35.9630 | + | 12.7499i | 2.14920 | + | 0.761955i | ||||
\(281\) | 28.2604 | 1.68588 | 0.842938 | − | 0.538010i | \(-0.180824\pi\) | ||||
0.842938 | + | 0.538010i | \(0.180824\pi\) | |||||||
\(282\) | 9.92960 | + | 2.94260i | 0.591299 | + | 0.175229i | ||||
\(283\) | 8.03079 | − | 13.9097i | 0.477381 | − | 0.826848i | −0.522283 | − | 0.852772i | \(-0.674920\pi\) |
0.999664 | + | 0.0259244i | \(0.00825293\pi\) | |||||||
\(284\) | −5.98227 | − | 3.88700i | −0.354983 | − | 0.230651i | ||||
\(285\) | − | 4.49207i | − | 0.266087i | ||||||
\(286\) | −13.2047 | + | 10.5657i | −0.780812 | + | 0.624766i | ||||
\(287\) | 42.6569i | 2.51795i | ||||||||
\(288\) | 13.9284 | − | 1.82509i | 0.820738 | − | 0.107544i | ||||
\(289\) | 0.959097 | − | 1.66121i | 0.0564175 | − | 0.0977180i | ||||
\(290\) | 1.94030 | − | 6.54742i | 0.113938 | − | 0.384478i | ||||
\(291\) | 5.37607 | 0.315151 | ||||||||
\(292\) | −19.0531 | + | 9.70222i | −1.11500 | + | 0.567780i | ||||
\(293\) | −6.14458 | − | 10.6427i | −0.358970 | − | 0.621755i | 0.628819 | − | 0.777552i | \(-0.283539\pi\) |
−0.987789 | + | 0.155797i | \(0.950205\pi\) | |||||||
\(294\) | 10.6301 | − | 10.0851i | 0.619957 | − | 0.588174i | ||||
\(295\) | −33.9035 | + | 19.5742i | −1.97394 | + | 1.13965i | ||||
\(296\) | 11.8299 | − | 2.18808i | 0.687600 | − | 0.127180i | ||||
\(297\) | −2.49070 | + | 12.8334i | −0.144525 | + | 0.744670i | ||||
\(298\) | 9.76259 | + | 10.2901i | 0.565532 | + | 0.596091i | ||||
\(299\) | 6.01438 | − | 0.648631i | 0.347821 | − | 0.0375113i | ||||
\(300\) | 5.02308 | + | 0.264474i | 0.290008 | + | 0.0152694i | ||||
\(301\) | 0.456950 | + | 0.263820i | 0.0263382 | + | 0.0152064i | ||||
\(302\) | −4.50256 | − | 18.7646i | −0.259093 | − | 1.07978i | ||||
\(303\) | 5.95795 | + | 10.3195i | 0.342275 | + | 0.592838i | ||||
\(304\) | −0.900399 | + | 8.52682i | −0.0516414 | + | 0.489047i | ||||
\(305\) | −17.0867 | − | 29.5950i | −0.978379 | − | 1.69460i | ||||
\(306\) | −14.6453 | − | 4.34007i | −0.837216 | − | 0.248106i | ||||
\(307\) | 23.8635i | 1.36196i | 0.732300 | + | 0.680982i | \(0.238447\pi\) | ||||
−0.732300 | + | 0.680982i | \(0.761553\pi\) | |||||||
\(308\) | 21.3217 | − | 22.0813i | 1.21492 | − | 1.25820i | ||||
\(309\) | 4.26556 | − | 7.38817i | 0.242659 | − | 0.420298i | ||||
\(310\) | 2.74040 | + | 11.4207i | 0.155644 | + | 0.648652i | ||||
\(311\) | 10.0151i | 0.567906i | 0.958838 | + | 0.283953i | \(0.0916459\pi\) | ||||
−0.958838 | + | 0.283953i | \(0.908354\pi\) | |||||||
\(312\) | 5.03371 | − | 5.32942i | 0.284978 | − | 0.301719i | ||||
\(313\) | 13.1590 | 0.743793 | 0.371896 | − | 0.928274i | \(-0.378708\pi\) | ||||
0.371896 | + | 0.928274i | \(0.378708\pi\) | |||||||
\(314\) | −27.0555 | + | 6.49197i | −1.52683 | + | 0.366363i | ||||
\(315\) | −16.7499 | + | 29.0117i | −0.943752 | + | 1.63463i | ||||
\(316\) | −3.52858 | + | 1.79682i | −0.198498 | + | 0.101079i | ||||
\(317\) | 6.20472i | 0.348492i | 0.984702 | + | 0.174246i | \(0.0557488\pi\) | ||||
−0.984702 | + | 0.174246i | \(0.944251\pi\) | |||||||
\(318\) | 1.84041 | + | 0.545398i | 0.103205 | + | 0.0305844i | ||||
\(319\) | −4.14709 | − | 3.60290i | −0.232192 | − | 0.201724i | ||||
\(320\) | −23.0322 | − | 3.66518i | −1.28754 | − | 0.204890i | ||||
\(321\) | −7.10066 | + | 4.09957i | −0.396320 | + | 0.228816i | ||||
\(322\) | −10.6766 | + | 2.56186i | −0.594985 | + | 0.142767i | ||||
\(323\) | 4.66170 | − | 8.07431i | 0.259384 | − | 0.449267i | ||||
\(324\) | −0.485447 | + | 9.21996i | −0.0269693 | + | 0.512220i | ||||
\(325\) | −10.1854 | + | 7.44239i | −0.564983 | + | 0.412830i | ||||
\(326\) | −13.8829 | − | 14.6331i | −0.768901 | − | 0.810450i | ||||
\(327\) | −0.816446 | − | 0.471375i | −0.0451496 | − | 0.0260671i | ||||
\(328\) | −4.74205 | − | 25.6380i | −0.261836 | − | 1.41562i | ||||
\(329\) | 40.8258 | − | 23.5708i | 2.25080 | − | 1.29950i | ||||
\(330\) | 4.53721 | − | 8.71947i | 0.249765 | − | 0.479991i | ||||
\(331\) | 1.34839 | + | 2.33547i | 0.0741140 | + | 0.128369i | 0.900701 | − | 0.434440i | \(-0.143054\pi\) |
−0.826587 | + | 0.562809i | \(0.809720\pi\) | |||||||
\(332\) | 11.5773 | + | 22.7355i | 0.635389 | + | 1.24777i | ||||
\(333\) | 10.5624i | 0.578818i | ||||||||
\(334\) | −17.9052 | − | 5.30613i | −0.979729 | − | 0.290338i | ||||
\(335\) | 17.1532 | + | 9.90343i | 0.937181 | + | 0.541082i | ||||
\(336\) | −7.82618 | + | 10.7608i | −0.426953 | + | 0.587050i | ||||
\(337\) | 2.31841i | 0.126292i | 0.998004 | + | 0.0631459i | \(0.0201134\pi\) | ||||
−0.998004 | + | 0.0631459i | \(0.979887\pi\) | |||||||
\(338\) | −1.34526 | + | 18.3355i | −0.0731726 | + | 0.997319i | ||||
\(339\) | − | 2.33658i | − | 0.126906i | ||||||
\(340\) | 21.2652 | + | 13.8171i | 1.15327 | + | 0.749338i | ||||
\(341\) | 9.27523 | + | 1.80013i | 0.502282 | + | 0.0974828i | ||||
\(342\) | −7.21761 | − | 2.13891i | −0.390284 | − | 0.115659i | ||||
\(343\) | − | 34.3063i | − | 1.85237i | ||||||
\(344\) | −0.303969 | − | 0.107766i | −0.0163889 | − | 0.00581034i | ||||
\(345\) | −3.04490 | + | 1.75797i | −0.163932 | + | 0.0946460i | ||||
\(346\) | −0.360747 | + | 0.342253i | −0.0193939 | + | 0.0183996i | ||||
\(347\) | 17.6013 | + | 30.4863i | 0.944885 | + | 1.63659i | 0.755981 | + | 0.654593i | \(0.227160\pi\) |
0.188904 | + | 0.981996i | \(0.439507\pi\) | |||||||
\(348\) | 1.99685 | + | 1.29746i | 0.107043 | + | 0.0695513i | ||||
\(349\) | 10.8640 | − | 18.8169i | 0.581535 | − | 1.00725i | −0.413763 | − | 0.910385i | \(-0.635786\pi\) |
0.995298 | − | 0.0968630i | \(-0.0308809\pi\) | |||||||
\(350\) | 16.6103 | − | 15.7588i | 0.887859 | − | 0.842341i | ||||
\(351\) | 8.38458 | + | 11.4748i | 0.447536 | + | 0.612481i | ||||
\(352\) | −10.3602 | + | 15.6418i | −0.552203 | + | 0.833710i | ||||
\(353\) | 11.9167 | + | 6.88010i | 0.634261 | + | 0.366191i | 0.782400 | − | 0.622776i | \(-0.213995\pi\) |
−0.148139 | + | 0.988967i | \(0.547328\pi\) | |||||||
\(354\) | −3.18533 | − | 13.2750i | −0.169298 | − | 0.705556i | ||||
\(355\) | −9.00576 | + | 5.19948i | −0.477976 | + | 0.275959i | ||||
\(356\) | 24.9108 | + | 1.31159i | 1.32027 | + | 0.0695143i | ||||
\(357\) | 12.5300 | − | 7.23420i | 0.663158 | − | 0.382874i | ||||
\(358\) | 14.2838 | + | 4.23296i | 0.754925 | + | 0.223719i | ||||
\(359\) | − | 2.71910i | − | 0.143509i | −0.997422 | − | 0.0717543i | \(-0.977140\pi\) | ||
0.997422 | − | 0.0717543i | \(-0.0228598\pi\) | |||||||
\(360\) | 6.84204 | − | 19.2990i | 0.360607 | − | 1.01714i | ||||
\(361\) | −7.20258 | + | 12.4752i | −0.379083 | + | 0.656592i | ||||
\(362\) | −10.6161 | + | 2.54734i | −0.557971 | + | 0.133885i | ||||
\(363\) | −4.87183 | − | 6.22822i | −0.255705 | − | 0.326897i | ||||
\(364\) | −1.82866 | − | 33.3191i | −0.0958480 | − | 1.74640i | ||||
\(365\) | 31.1658i | 1.63129i | ||||||||
\(366\) | 11.5879 | − | 2.78053i | 0.605711 | − | 0.145340i | ||||
\(367\) | −8.69018 | − | 5.01728i | −0.453624 | − | 0.261900i | 0.255736 | − | 0.966747i | \(-0.417682\pi\) |
−0.709359 | + | 0.704847i | \(0.751016\pi\) | |||||||
\(368\) | 6.13217 | − | 2.72665i | 0.319662 | − | 0.142136i | ||||
\(369\) | 22.8911 | 1.19166 | ||||||||
\(370\) | 4.98256 | − | 16.8133i | 0.259031 | − | 0.874084i | ||||
\(371\) | 7.56690 | − | 4.36875i | 0.392854 | − | 0.226814i | ||||
\(372\) | −4.08999 | − | 0.215345i | −0.212056 | − | 0.0111651i | ||||
\(373\) | −27.1292 | + | 15.6631i | −1.40470 | + | 0.811003i | −0.994870 | − | 0.101160i | \(-0.967745\pi\) |
−0.409828 | + | 0.912163i | \(0.634411\pi\) | |||||||
\(374\) | 17.2042 | − | 10.9643i | 0.889607 | − | 0.566952i | ||||
\(375\) | −1.57308 | + | 2.72466i | −0.0812336 | + | 0.140701i | ||||
\(376\) | −21.9172 | + | 18.7052i | −1.13029 | + | 0.964650i | ||||
\(377\) | −5.93770 | + | 0.640361i | −0.305807 | + | 0.0329803i | ||||
\(378\) | −17.7538 | − | 18.7131i | −0.913156 | − | 0.962500i | ||||
\(379\) | 3.62868 | − | 6.28505i | 0.186393 | − | 0.322841i | −0.757652 | − | 0.652658i | \(-0.773654\pi\) |
0.944045 | + | 0.329817i | \(0.106987\pi\) | |||||||
\(380\) | 10.4801 | + | 6.80945i | 0.537616 | + | 0.349318i | ||||
\(381\) | 7.00755 | − | 4.04581i | 0.359007 | − | 0.207273i | ||||
\(382\) | 14.0436 | − | 13.3237i | 0.718534 | − | 0.681698i | ||||
\(383\) | 13.4795 | + | 23.3472i | 0.688769 | + | 1.19298i | 0.972236 | + | 0.234002i | \(0.0751821\pi\) |
−0.283467 | + | 0.958982i | \(0.591485\pi\) | |||||||
\(384\) | 3.50751 | − | 7.33757i | 0.178992 | − | 0.374444i | ||||
\(385\) | −14.5789 | − | 42.3003i | −0.743009 | − | 2.15583i | ||||
\(386\) | 1.87273 | − | 6.31942i | 0.0953196 | − | 0.321650i | ||||
\(387\) | 0.141575 | − | 0.245215i | 0.00719665 | − | 0.0124650i | ||||
\(388\) | −8.14950 | + | 12.5424i | −0.413728 | + | 0.636746i | ||||
\(389\) | −13.6413 | −0.691640 | −0.345820 | − | 0.938301i | \(-0.612399\pi\) | ||||
−0.345820 | + | 0.938301i | \(0.612399\pi\) | |||||||
\(390\) | −3.59300 | − | 10.0634i | −0.181939 | − | 0.509580i | ||||
\(391\) | −7.29743 | −0.369047 | ||||||||
\(392\) | 7.41472 | + | 40.0879i | 0.374500 | + | 2.02474i | ||||
\(393\) | −6.19914 | − | 3.57908i | −0.312705 | − | 0.180540i | ||||
\(394\) | 1.37639 | − | 4.64455i | 0.0693417 | − | 0.233989i | ||||
\(395\) | 5.77180i | 0.290411i | ||||||||
\(396\) | −11.8496 | − | 11.4419i | −0.595463 | − | 0.574978i | ||||
\(397\) | −32.3041 | + | 18.6508i | −1.62130 | + | 0.936056i | −0.634724 | + | 0.772739i | \(0.718886\pi\) |
−0.986574 | + | 0.163317i | \(0.947781\pi\) | |||||||
\(398\) | −10.0696 | + | 9.55334i | −0.504742 | + | 0.478866i | ||||
\(399\) | 6.17513 | − | 3.56521i | 0.309143 | − | 0.178484i | ||||
\(400\) | −8.23143 | + | 11.3180i | −0.411571 | + | 0.565900i | ||||
\(401\) | 1.81369 | + | 1.04713i | 0.0905713 | + | 0.0522914i | 0.544602 | − | 0.838695i | \(-0.316681\pi\) |
−0.454030 | + | 0.890986i | \(0.650014\pi\) | |||||||
\(402\) | −5.01075 | + | 4.75386i | −0.249913 | + | 0.237101i | ||||
\(403\) | 8.29332 | − | 6.05988i | 0.413120 | − | 0.301864i | ||||
\(404\) | −33.1070 | − | 1.74314i | −1.64713 | − | 0.0867244i | ||||
\(405\) | 11.6549 | + | 6.72893i | 0.579134 | + | 0.334363i | ||||
\(406\) | 10.5405 | − | 2.52920i | 0.523117 | − | 0.125522i | ||||
\(407\) | −10.6494 | − | 9.25201i | −0.527873 | − | 0.458605i | ||||
\(408\) | −6.72669 | + | 5.74089i | −0.333021 | + | 0.284217i | ||||
\(409\) | −8.56078 | − | 14.8277i | −0.423303 | − | 0.733183i | 0.572957 | − | 0.819585i | \(-0.305796\pi\) |
−0.996260 | + | 0.0864027i | \(0.972463\pi\) | |||||||
\(410\) | −36.4382 | − | 10.7983i | −1.79955 | − | 0.533290i | ||||
\(411\) | 13.9832 | 0.689739 | ||||||||
\(412\) | 10.7706 | + | 21.1512i | 0.530629 | + | 1.04204i | ||||
\(413\) | −53.8162 | − | 31.0708i | −2.64812 | − | 1.52890i | ||||
\(414\) | 1.37478 | + | 5.72943i | 0.0675667 | + | 0.281586i | ||||
\(415\) | 37.1891 | 1.82554 | ||||||||
\(416\) | 4.80308 | + | 19.8225i | 0.235490 | + | 0.971877i | ||||
\(417\) | 1.45934i | 0.0714643i | ||||||||
\(418\) | 8.47869 | − | 5.40353i | 0.414706 | − | 0.264295i | ||||
\(419\) | 2.58686 | + | 1.49353i | 0.126376 | + | 0.0729635i | 0.561856 | − | 0.827235i | \(-0.310088\pi\) |
−0.435479 | + | 0.900199i | \(0.643421\pi\) | |||||||
\(420\) | 8.80088 | + | 17.2831i | 0.429439 | + | 0.843328i | ||||
\(421\) | 13.3103i | 0.648706i | 0.945936 | + | 0.324353i | \(0.105147\pi\) | ||||
−0.945936 | + | 0.324353i | \(0.894853\pi\) | |||||||
\(422\) | −0.198882 | + | 0.671114i | −0.00968142 | + | 0.0326693i | ||||
\(423\) | −12.6489 | − | 21.9085i | −0.615009 | − | 1.06523i | ||||
\(424\) | −4.06226 | + | 3.46694i | −0.197281 | + | 0.168369i | ||||
\(425\) | 13.1788 | − | 7.60879i | 0.639266 | − | 0.369081i | ||||
\(426\) | −0.846115 | − | 3.52621i | −0.0409944 | − | 0.170846i | ||||
\(427\) | 27.1223 | − | 46.9771i | 1.31254 | − | 2.27338i | ||||
\(428\) | 1.19943 | − | 22.7804i | 0.0579765 | − | 1.10113i | ||||
\(429\) | −8.56565 | − | 0.723499i | −0.413553 | − | 0.0349309i | ||||
\(430\) | −0.341034 | + | 0.323550i | −0.0164461 | + | 0.0156030i | ||||
\(431\) | −3.61441 | − | 2.08678i | −0.174100 | − | 0.100517i | 0.410418 | − | 0.911898i | \(-0.365383\pi\) |
−0.584518 | + | 0.811381i | \(0.698716\pi\) | |||||||
\(432\) | 12.7508 | + | 9.27351i | 0.613475 | + | 0.446172i | ||||
\(433\) | 16.8758 | + | 29.2298i | 0.811001 | + | 1.40469i | 0.912164 | + | 0.409825i | \(0.134410\pi\) |
−0.101163 | + | 0.994870i | \(0.532256\pi\) | |||||||
\(434\) | −13.5248 | + | 12.8314i | −0.649209 | + | 0.615927i | ||||
\(435\) | 3.00608 | − | 1.73556i | 0.144130 | − | 0.0832137i | ||||
\(436\) | 2.33736 | − | 1.19023i | 0.111939 | − | 0.0570016i | ||||
\(437\) | −3.59638 | −0.172038 | ||||||||
\(438\) | −10.4202 | − | 3.08797i | −0.497894 | − | 0.147549i | ||||
\(439\) | −0.487942 | + | 0.845140i | −0.0232882 | + | 0.0403364i | −0.877435 | − | 0.479696i | \(-0.840747\pi\) |
0.854146 | + | 0.520033i | \(0.174080\pi\) | |||||||
\(440\) | 13.4648 | + | 23.8031i | 0.641907 | + | 1.13477i | ||||
\(441\) | −35.7927 | −1.70442 | ||||||||
\(442\) | 3.98516 | − | 21.8172i | 0.189555 | − | 1.03774i | ||||
\(443\) | 29.3870i | 1.39622i | 0.715992 | + | 0.698108i | \(0.245975\pi\) | ||||
−0.715992 | + | 0.698108i | \(0.754025\pi\) | |||||||
\(444\) | 5.12779 | + | 3.33180i | 0.243354 | + | 0.158120i | ||||
\(445\) | 18.1804 | − | 31.4894i | 0.861835 | − | 1.49274i | ||||
\(446\) | 0.192230 | − | 0.648669i | 0.00910237 | − | 0.0307154i | ||||
\(447\) | 7.20990i | 0.341017i | ||||||||
\(448\) | −13.2415 | − | 34.5707i | −0.625602 | − | 1.63331i | ||||
\(449\) | 13.5661 | − | 7.83238i | 0.640223 | − | 0.369633i | −0.144477 | − | 0.989508i | \(-0.546150\pi\) |
0.784700 | + | 0.619875i | \(0.212817\pi\) | |||||||
\(450\) | −8.45667 | − | 8.91365i | −0.398651 | − | 0.420193i | ||||
\(451\) | −20.0511 | + | 23.0797i | −0.944170 | + | 1.08678i | ||||
\(452\) | 5.45127 | + | 3.54198i | 0.256406 | + | 0.166601i | ||||
\(453\) | 4.90439 | − | 8.49466i | 0.230428 | − | 0.399114i | ||||
\(454\) | 0.611606 | − | 0.580251i | 0.0287041 | − | 0.0272325i | ||||
\(455\) | −44.4882 | − | 19.6631i | −2.08564 | − | 0.921818i | ||||
\(456\) | −3.31510 | + | 2.82927i | −0.155244 | + | 0.132493i | ||||
\(457\) | −18.6482 | + | 32.2996i | −0.872326 | + | 1.51091i | −0.0127419 | + | 0.999919i | \(0.504056\pi\) |
−0.859584 | + | 0.510994i | \(0.829277\pi\) | |||||||
\(458\) | 4.42649 | + | 18.4475i | 0.206836 | + | 0.861997i | ||||
\(459\) | −8.57205 | − | 14.8472i | −0.400109 | − | 0.693009i | ||||
\(460\) | 0.514337 | − | 9.76866i | 0.0239811 | − | 0.455466i | ||||
\(461\) | 13.4457 | + | 23.2887i | 0.626231 | + | 1.08466i | 0.988301 | + | 0.152513i | \(0.0487366\pi\) |
−0.362071 | + | 0.932151i | \(0.617930\pi\) | |||||||
\(462\) | 15.5875 | − | 0.683186i | 0.725194 | − | 0.0317847i | ||||
\(463\) | 33.8004 | 1.57084 | 0.785419 | − | 0.618965i | \(-0.212448\pi\) | ||||
0.785419 | + | 0.618965i | \(0.212448\pi\) | |||||||
\(464\) | −6.05399 | + | 2.69188i | −0.281050 | + | 0.124968i | ||||
\(465\) | −2.98496 | + | 5.17011i | −0.138424 | + | 0.239758i | ||||
\(466\) | 3.60250 | + | 15.0135i | 0.166883 | + | 0.695489i | ||||
\(467\) | − | 34.7515i | − | 1.60811i | −0.594556 | − | 0.804054i | \(-0.702672\pi\) | ||
0.594556 | − | 0.804054i | \(-0.297328\pi\) | |||||||
\(468\) | −17.8801 | + | 0.981321i | −0.826510 | + | 0.0453616i | ||||
\(469\) | 31.4401i | 1.45177i | ||||||||
\(470\) | 9.79977 | + | 40.8409i | 0.452030 | + | 1.88385i | ||||
\(471\) | −12.2479 | − | 7.07135i | −0.564355 | − | 0.325831i | ||||
\(472\) | 35.7992 | + | 12.6919i | 1.64779 | + | 0.584190i | ||||
\(473\) | 0.123224 | + | 0.357534i | 0.00566587 | + | 0.0164394i | ||||
\(474\) | −1.92978 | − | 0.571882i | −0.0886376 | − | 0.0262674i | ||||
\(475\) | 6.49488 | − | 3.74982i | 0.298006 | − | 0.172054i | ||||
\(476\) | −2.11654 | + | 40.1988i | −0.0970113 | + | 1.84251i | ||||
\(477\) | −2.34442 | − | 4.06065i | −0.107343 | − | 0.185924i | ||||
\(478\) | 2.45477 | + | 10.2303i | 0.112279 | + | 0.467924i | ||||
\(479\) | 2.77395 | + | 1.60154i | 0.126745 | + | 0.0731761i | 0.562032 | − | 0.827116i | \(-0.310020\pi\) |
−0.435287 | + | 0.900292i | \(0.643353\pi\) | |||||||
\(480\) | −7.21090 | − | 9.40927i | −0.329131 | − | 0.429473i | ||||
\(481\) | −15.2476 | + | 1.64441i | −0.695232 | + | 0.0749784i | ||||
\(482\) | −8.06550 | − | 8.50134i | −0.367374 | − | 0.387225i | ||||
\(483\) | −4.83327 | − | 2.79049i | −0.219922 | − | 0.126972i | ||||
\(484\) | 21.9156 | − | 1.92479i | 0.996165 | − | 0.0874904i | ||||
\(485\) | 10.9012 | + | 18.8815i | 0.494999 | + | 0.857364i | ||||
\(486\) | −15.5363 | + | 14.7398i | −0.704742 | + | 0.668612i | ||||
\(487\) | 2.70361 | + | 4.68278i | 0.122512 | + | 0.212197i | 0.920758 | − | 0.390135i | \(-0.127572\pi\) |
−0.798246 | + | 0.602332i | \(0.794238\pi\) | |||||||
\(488\) | −11.0789 | + | 31.2497i | −0.501520 | + | 1.41461i | ||||
\(489\) | − | 10.2528i | − | 0.463649i | ||||||
\(490\) | 56.9751 | + | 16.8843i | 2.57387 | + | 0.762756i | ||||
\(491\) | 4.98854 | − | 8.64040i | 0.225130 | − | 0.389936i | −0.731229 | − | 0.682132i | \(-0.761053\pi\) |
0.956358 | + | 0.292196i | \(0.0943861\pi\) | |||||||
\(492\) | 7.22073 | − | 11.1130i | 0.325536 | − | 0.501014i | ||||
\(493\) | 7.20440 | 0.324470 | ||||||||
\(494\) | 1.96400 | − | 10.7521i | 0.0883645 | − | 0.483761i | ||||
\(495\) | −22.6998 | + | 7.82351i | −1.02028 | + | 0.351641i | ||||
\(496\) | 6.70234 | − | 9.21555i | 0.300944 | − | 0.413791i | ||||
\(497\) | −14.2952 | − | 8.25331i | −0.641225 | − | 0.370212i | ||||
\(498\) | −3.68477 | + | 12.4340i | −0.165119 | + | 0.557182i | ||||
\(499\) | 24.6688 | 1.10433 | 0.552164 | − | 0.833735i | \(-0.313802\pi\) | ||||
0.552164 | + | 0.833735i | \(0.313802\pi\) | |||||||
\(500\) | −3.97205 | − | 7.80028i | −0.177636 | − | 0.348839i | ||||
\(501\) | −4.74623 | − | 8.22071i | −0.212046 | − | 0.367274i | ||||
\(502\) | −27.9853 | + | 26.5506i | −1.24905 | + | 1.18501i | ||||
\(503\) | −18.4125 | − | 31.8914i | −0.820974 | − | 1.42197i | −0.904958 | − | 0.425502i | \(-0.860098\pi\) |
0.0839837 | − | 0.996467i | \(-0.473236\pi\) | |||||||
\(504\) | 31.9601 | − | 5.91139i | 1.42361 | − | 0.263314i | ||||
\(505\) | −24.1622 | + | 41.8502i | −1.07520 | + | 1.86231i | ||||
\(506\) | −6.98085 | − | 3.63251i | −0.310337 | − | 0.161485i | ||||
\(507\) | −6.91067 | + | 6.29059i | −0.306914 | + | 0.279375i | ||||
\(508\) | −1.18370 | + | 22.4817i | −0.0525181 | + | 0.997462i | ||||
\(509\) | −14.5672 | − | 8.41037i | −0.645679 | − | 0.372783i | 0.141119 | − | 0.989993i | \(-0.454930\pi\) |
−0.786799 | + | 0.617209i | \(0.788263\pi\) | |||||||
\(510\) | 3.00768 | + | 12.5346i | 0.133182 | + | 0.555042i | ||||
\(511\) | −42.8428 | + | 24.7353i | −1.89525 | + | 1.09422i | ||||
\(512\) | 11.8017 | + | 19.3060i | 0.521565 | + | 0.853212i | ||||
\(513\) | −4.22454 | − | 7.31712i | −0.186518 | − | 0.323059i | ||||
\(514\) | −12.5675 | + | 42.4081i | −0.554328 | + | 1.87054i | ||||
\(515\) | 34.5976 | 1.52455 | ||||||||
\(516\) | −0.0743873 | − | 0.146081i | −0.00327472 | − | 0.00643086i | ||||
\(517\) | 33.1686 | + | 6.43735i | 1.45875 | + | 0.283114i | ||||
\(518\) | 27.0673 | − | 6.49481i | 1.18927 | − | 0.285366i | ||||
\(519\) | −0.252762 | −0.0110950 | ||||||||
\(520\) | 28.9246 | + | 6.87243i | 1.26843 | + | 0.301376i | ||||
\(521\) | 30.3431 | 1.32936 | 0.664678 | − | 0.747130i | \(-0.268569\pi\) | ||||
0.664678 | + | 0.747130i | \(0.268569\pi\) | |||||||
\(522\) | −1.35725 | − | 5.65639i | −0.0594053 | − | 0.247573i | ||||
\(523\) | 4.33296 | − | 7.50491i | 0.189467 | − | 0.328167i | −0.755606 | − | 0.655027i | \(-0.772657\pi\) |
0.945073 | + | 0.326860i | \(0.105991\pi\) | |||||||
\(524\) | 17.7472 | − | 9.03721i | 0.775290 | − | 0.394792i | ||||
\(525\) | 11.6382 | 0.507933 | ||||||||
\(526\) | 3.04554 | − | 10.2770i | 0.132792 | − | 0.448097i | ||||
\(527\) | −10.7307 | + | 6.19537i | −0.467436 | + | 0.269875i | ||||
\(528\) | −9.29257 | + | 2.14343i | −0.404407 | + | 0.0932809i | ||||
\(529\) | −10.0926 | − | 17.4808i | −0.438807 | − | 0.760036i | ||||
\(530\) | 1.81635 | + | 7.56968i | 0.0788970 | + | 0.328806i | ||||
\(531\) | −16.6736 | + | 28.8796i | −0.723574 | + | 1.25327i | ||||
\(532\) | −1.04309 | + | 19.8111i | −0.0452236 | + | 0.858920i | ||||
\(533\) | 3.56378 | + | 33.0449i | 0.154365 | + | 1.43133i | ||||
\(534\) | 8.72701 | + | 9.19859i | 0.377655 | + | 0.398062i | ||||
\(535\) | −28.7965 | − | 16.6256i | −1.24498 | − | 0.718789i | ||||
\(536\) | −3.49512 | − | 18.8964i | −0.150966 | − | 0.816202i | ||||
\(537\) | 3.78630 | + | 6.55806i | 0.163391 | + | 0.283001i | ||||
\(538\) | 7.16919 | + | 7.55659i | 0.309086 | + | 0.325788i | ||||
\(539\) | 31.3521 | − | 36.0876i | 1.35043 | − | 1.55440i | ||||
\(540\) | 20.4793 | − | 10.4285i | 0.881289 | − | 0.448769i | ||||
\(541\) | 14.1741 | 0.609391 | 0.304696 | − | 0.952450i | \(-0.401445\pi\) | ||||
0.304696 | + | 0.952450i | \(0.401445\pi\) | |||||||
\(542\) | 13.8881 | + | 4.11567i | 0.596543 | + | 0.176783i | ||||
\(543\) | −4.80588 | − | 2.77468i | −0.206240 | − | 0.119073i | ||||
\(544\) | −3.19670 | − | 24.3960i | −0.137057 | − | 1.04597i | ||||
\(545\) | − | 3.82329i | − | 0.163772i | ||||||
\(546\) | 10.9822 | − | 12.9262i | 0.469997 | − | 0.553190i | ||||
\(547\) | −5.06935 | −0.216750 | −0.108375 | − | 0.994110i | \(-0.534565\pi\) | ||||
−0.108375 | + | 0.994110i | \(0.534565\pi\) | |||||||
\(548\) | −21.1969 | + | 32.6229i | −0.905485 | + | 1.39358i | ||||
\(549\) | −25.2095 | − | 14.5547i | −1.07591 | − | 0.621180i | ||||
\(550\) | 16.3946 | − | 0.718562i | 0.699067 | − | 0.0306396i | ||||
\(551\) | 3.55053 | 0.151258 | ||||||||
\(552\) | 3.21515 | + | 1.13987i | 0.136846 | + | 0.0485159i | ||||
\(553\) | −7.93434 | + | 4.58089i | −0.337402 | + | 0.194799i | ||||
\(554\) | −17.9246 | + | 17.0056i | −0.761542 | + | 0.722500i | ||||
\(555\) | 7.71941 | − | 4.45680i | 0.327671 | − | 0.189181i | ||||
\(556\) | −3.40466 | − | 2.21219i | −0.144390 | − | 0.0938178i | ||||
\(557\) | −10.3577 | + | 17.9401i | −0.438871 | + | 0.760147i | −0.997603 | − | 0.0692018i | \(-0.977955\pi\) |
0.558732 | + | 0.829348i | \(0.311288\pi\) | |||||||
\(558\) | 6.88575 | + | 7.25783i | 0.291497 | + | 0.307249i | ||||
\(559\) | 0.376026 | + | 0.166197i | 0.0159042 | + | 0.00702940i | ||||
\(560\) | −53.6628 | − | 5.66658i | −2.26767 | − | 0.239457i | ||||
\(561\) | 10.1799 | + | 1.97571i | 0.429795 | + | 0.0834146i | ||||
\(562\) | −38.8632 | + | 9.32522i | −1.63934 | + | 0.393361i | ||||
\(563\) | −11.1767 | − | 19.3586i | −0.471042 | − | 0.815868i | 0.528410 | − | 0.848990i | \(-0.322789\pi\) |
−0.999451 | + | 0.0331213i | \(0.989455\pi\) | |||||||
\(564\) | −14.6260 | − | 0.770082i | −0.615864 | − | 0.0324263i | ||||
\(565\) | 8.20639 | − | 4.73796i | 0.345245 | − | 0.199327i | ||||
\(566\) | −6.45391 | + | 21.7783i | −0.271278 | + | 0.915411i | ||||
\(567\) | 21.3622i | 0.897126i | ||||||||
\(568\) | 9.50931 | + | 3.37133i | 0.399002 | + | 0.141458i | ||||
\(569\) | −22.4492 | − | 12.9610i | −0.941118 | − | 0.543355i | −0.0508073 | − | 0.998708i | \(-0.516179\pi\) |
−0.890311 | + | 0.455354i | \(0.849513\pi\) | |||||||
\(570\) | 1.48227 | + | 6.17740i | 0.0620854 | + | 0.258743i | ||||
\(571\) | −44.2001 | −1.84972 | −0.924858 | − | 0.380312i | \(-0.875816\pi\) | ||||
−0.924858 | + | 0.380312i | \(0.875816\pi\) | |||||||
\(572\) | 14.6724 | − | 18.8870i | 0.613486 | − | 0.789706i | ||||
\(573\) | 9.83983 | 0.411065 | ||||||||
\(574\) | −14.0757 | − | 58.6608i | −0.587507 | − | 2.44845i | ||||
\(575\) | −5.08354 | − | 2.93499i | −0.211998 | − | 0.122397i | ||||
\(576\) | −18.5518 | + | 7.10583i | −0.772991 | + | 0.296076i | ||||
\(577\) | − | 22.2432i | − | 0.925998i | −0.886359 | − | 0.462999i | \(-0.846773\pi\) | ||
0.886359 | − | 0.462999i | \(-0.153227\pi\) | |||||||
\(578\) | −0.770775 | + | 2.60093i | −0.0320600 | + | 0.108184i | ||||
\(579\) | 2.90140 | − | 1.67512i | 0.120578 | − | 0.0696157i | ||||
\(580\) | −0.507779 | + | 9.64412i | −0.0210844 | + | 0.400450i | ||||
\(581\) | 29.5158 | + | 51.1229i | 1.22452 | + | 2.12093i | ||||
\(582\) | −7.39306 | + | 1.77397i | −0.306452 | + | 0.0735333i | ||||
\(583\) | 6.14766 | + | 1.19314i | 0.254610 | + | 0.0494147i | ||||
\(584\) | 23.0000 | − | 19.6293i | 0.951747 | − | 0.812268i | ||||
\(585\) | −10.5518 | + | 23.8739i | −0.436265 | + | 0.987063i | ||||
\(586\) | 11.9617 | + | 12.6081i | 0.494134 | + | 0.520836i | ||||
\(587\) | 3.79207 | − | 6.56806i | 0.156516 | − | 0.271093i | −0.777094 | − | 0.629384i | \(-0.783307\pi\) |
0.933610 | + | 0.358291i | \(0.116641\pi\) | |||||||
\(588\) | −11.2904 | + | 17.3764i | −0.465609 | + | 0.716593i | ||||
\(589\) | −5.28838 | + | 3.05325i | −0.217904 | + | 0.125807i | ||||
\(590\) | 40.1644 | − | 38.1053i | 1.65354 | − | 1.56877i | ||||
\(591\) | 2.13242 | − | 1.23116i | 0.0877162 | − | 0.0506430i | ||||
\(592\) | −15.5463 | + | 6.91258i | −0.638947 | + | 0.284105i | ||||
\(593\) | 0.273229 | 0.0112202 | 0.00561009 | − | 0.999984i | \(-0.498214\pi\) | ||||
0.00561009 | + | 0.999984i | \(0.498214\pi\) | |||||||
\(594\) | −0.809531 | − | 18.4701i | −0.0332154 | − | 0.757837i | ||||
\(595\) | 50.8149 | + | 29.3380i | 2.08321 | + | 1.20274i | ||||
\(596\) | −16.8208 | − | 10.9294i | −0.689007 | − | 0.447684i | ||||
\(597\) | −7.05537 | −0.288757 | ||||||||
\(598\) | −8.05682 | + | 2.87657i | −0.329468 | + | 0.117632i | ||||
\(599\) | 20.4793i | 0.836763i | 0.908271 | + | 0.418381i | \(0.137402\pi\) | ||||
−0.908271 | + | 0.418381i | \(0.862598\pi\) | |||||||
\(600\) | −6.99491 | + | 1.29379i | −0.285566 | + | 0.0528187i | ||||
\(601\) | −19.3555 | − | 11.1749i | −0.789526 | − | 0.455833i | 0.0502699 | − | 0.998736i | \(-0.483992\pi\) |
−0.839796 | + | 0.542903i | \(0.817325\pi\) | |||||||
\(602\) | −0.715443 | − | 0.212018i | −0.0291593 | − | 0.00864123i | ||||
\(603\) | 16.8718 | 0.687073 | ||||||||
\(604\) | 12.3837 | + | 24.3189i | 0.503884 | + | 0.989522i | ||||
\(605\) | 11.9956 | − | 29.7397i | 0.487689 | − | 1.20909i | ||||
\(606\) | −11.5984 | − | 12.2251i | −0.471153 | − | 0.496612i | ||||
\(607\) | 3.67746 | + | 6.36955i | 0.149263 | + | 0.258532i | 0.930955 | − | 0.365133i | \(-0.118976\pi\) |
−0.781692 | + | 0.623665i | \(0.785643\pi\) | |||||||
\(608\) | −1.57542 | − | 12.0230i | −0.0638918 | − | 0.487597i | ||||
\(609\) | 4.77166 | + | 2.75492i | 0.193357 | + | 0.111635i | ||||
\(610\) | 33.2628 | + | 35.0602i | 1.34677 | + | 1.41955i | ||||
\(611\) | 29.6573 | − | 21.6704i | 1.19980 | − | 0.876689i | ||||
\(612\) | 21.5720 | + | 1.13580i | 0.871998 | + | 0.0459122i | ||||
\(613\) | 8.83401 | − | 15.3010i | 0.356802 | − | 0.618000i | −0.630622 | − | 0.776090i | \(-0.717200\pi\) |
0.987425 | + | 0.158090i | \(0.0505336\pi\) | |||||||
\(614\) | −7.87435 | − | 32.8166i | −0.317783 | − | 1.32437i | ||||
\(615\) | −9.65886 | − | 16.7296i | −0.389483 | − | 0.674604i | ||||
\(616\) | −22.0349 | + | 37.4014i | −0.887810 | + | 1.50694i | ||||
\(617\) | −36.4181 | + | 21.0260i | −1.46614 | + | 0.846474i | −0.999283 | − | 0.0378613i | \(-0.987945\pi\) |
−0.466853 | + | 0.884335i | \(0.654612\pi\) | |||||||
\(618\) | −3.42800 | + | 11.5676i | −0.137895 | + | 0.465316i | ||||
\(619\) | 29.7792 | 1.19693 | 0.598463 | − | 0.801150i | \(-0.295778\pi\) | ||||
0.598463 | + | 0.801150i | \(0.295778\pi\) | |||||||
\(620\) | −7.53707 | − | 14.8012i | −0.302696 | − | 0.594432i | ||||
\(621\) | −3.30655 | + | 5.72711i | −0.132687 | + | 0.229821i | ||||
\(622\) | −3.30473 | − | 13.7726i | −0.132508 | − | 0.552230i | ||||
\(623\) | 57.7169 | 2.31238 | ||||||||
\(624\) | −5.16368 | + | 8.98989i | −0.206713 | + | 0.359884i | ||||
\(625\) | −30.2526 | −1.21010 | ||||||||
\(626\) | −18.0960 | + | 4.34214i | −0.723263 | + | 0.173547i | ||||
\(627\) | 5.01693 | + | 0.973685i | 0.200357 | + | 0.0388852i | ||||
\(628\) | 35.0640 | − | 17.8552i | 1.39921 | − | 0.712502i | ||||
\(629\) | 18.5004 | 0.737660 | ||||||||
\(630\) | 13.4610 | − | 45.4234i | 0.536300 | − | 1.80971i | ||||
\(631\) | −3.64209 | − | 6.30829i | −0.144989 | − | 0.251129i | 0.784380 | − | 0.620281i | \(-0.212981\pi\) |
−0.929369 | + | 0.369152i | \(0.879648\pi\) | |||||||
\(632\) | 4.25952 | − | 3.63529i | 0.169435 | − | 0.144604i | ||||
\(633\) | −0.308125 | + | 0.177896i | −0.0122469 | + | 0.00707073i | ||||
\(634\) | −2.04740 | − | 8.53260i | −0.0813126 | − | 0.338873i | ||||
\(635\) | 28.4188 | + | 16.4076i | 1.12777 | + | 0.651117i | ||||
\(636\) | −2.71086 | − | 0.142731i | −0.107493 | − | 0.00565967i | ||||
\(637\) | −5.57237 | − | 51.6694i | −0.220785 | − | 2.04721i | ||||
\(638\) | 6.89185 | + | 3.58620i | 0.272851 | + | 0.141979i | ||||
\(639\) | −4.42900 | + | 7.67125i | −0.175209 | + | 0.303470i | ||||
\(640\) | 32.8828 | − | 2.55977i | 1.29981 | − | 0.101184i | ||||
\(641\) | 4.36860 | + | 7.56664i | 0.172549 | + | 0.298864i | 0.939310 | − | 0.343068i | \(-0.111466\pi\) |
−0.766761 | + | 0.641933i | \(0.778133\pi\) | |||||||
\(642\) | 8.41193 | − | 7.98068i | 0.331992 | − | 0.314972i | ||||
\(643\) | −13.7780 | − | 23.8643i | −0.543353 | − | 0.941115i | −0.998709 | − | 0.0508053i | \(-0.983821\pi\) |
0.455356 | − | 0.890310i | \(-0.349512\pi\) | |||||||
\(644\) | 13.8369 | − | 7.04603i | 0.545251 | − | 0.277652i | ||||
\(645\) | −0.238949 | −0.00940861 | ||||||||
\(646\) | −3.74636 | + | 12.6419i | −0.147399 | + | 0.497387i | ||||
\(647\) | 31.6360 | + | 18.2650i | 1.24374 | + | 0.718073i | 0.969853 | − | 0.243689i | \(-0.0783577\pi\) |
0.273886 | + | 0.961762i | \(0.411691\pi\) | |||||||
\(648\) | −2.37477 | − | 12.8393i | −0.0932899 | − | 0.504375i | ||||
\(649\) | −14.5125 | − | 42.1077i | −0.569664 | − | 1.65287i | ||||
\(650\) | 11.5509 | − | 13.5955i | 0.453064 | − | 0.533261i | ||||
\(651\) | −9.47628 | −0.371405 | ||||||||
\(652\) | 23.9200 | + | 15.5421i | 0.936778 | + | 0.608675i | ||||
\(653\) | 10.9533 | − | 18.9718i | 0.428638 | − | 0.742422i | −0.568115 | − | 0.822949i | \(-0.692327\pi\) |
0.996752 | + | 0.0805272i | \(0.0256604\pi\) | |||||||
\(654\) | 1.27830 | + | 0.378819i | 0.0499855 | + | 0.0148130i | ||||
\(655\) | − | 29.0296i | − | 1.13428i | ||||||
\(656\) | 14.9811 | + | 33.6921i | 0.584912 | + | 1.31546i | ||||
\(657\) | 13.2738 | + | 22.9908i | 0.517859 | + | 0.896958i | ||||
\(658\) | −48.3651 | + | 45.8856i | −1.88547 | + | 1.78881i | ||||
\(659\) | −7.99150 | − | 13.8417i | −0.311305 | − | 0.539196i | 0.667340 | − | 0.744753i | \(-0.267433\pi\) |
−0.978645 | + | 0.205557i | \(0.934099\pi\) | |||||||
\(660\) | −3.36227 | + | 13.4880i | −0.130876 | + | 0.525019i | ||||
\(661\) | −10.8896 | − | 6.28709i | −0.423555 | − | 0.244540i | 0.273042 | − | 0.962002i | \(-0.411970\pi\) |
−0.696597 | + | 0.717462i | \(0.745303\pi\) | |||||||
\(662\) | −2.62492 | − | 2.76676i | −0.102020 | − | 0.107533i | ||||
\(663\) | 9.10221 | − | 6.65093i | 0.353501 | − | 0.258301i | ||||
\(664\) | −23.4231 | − | 27.4451i | −0.908991 | − | 1.06508i | ||||
\(665\) | 25.0430 | + | 14.4586i | 0.971126 | + | 0.560680i | ||||
\(666\) | −3.48533 | − | 14.5252i | −0.135054 | − | 0.562841i | ||||
\(667\) | −1.38950 | − | 2.40668i | −0.0538016 | − | 0.0931871i | ||||
\(668\) | 26.3737 | + | 1.38862i | 1.02043 | + | 0.0537274i | ||||
\(669\) | 0.297820 | − | 0.171946i | 0.0115144 | − | 0.00664783i | ||||
\(670\) | −26.8566 | − | 7.95885i | −1.03756 | − | 0.307477i | ||||
\(671\) | 36.7565 | − | 12.6682i | 1.41897 | − | 0.489050i | ||||
\(672\) | 7.21161 | − | 17.3805i | 0.278194 | − | 0.670466i | ||||
\(673\) | −11.6529 | − | 6.72782i | −0.449188 | − | 0.259339i | 0.258299 | − | 0.966065i | \(-0.416838\pi\) |
−0.707487 | + | 0.706726i | \(0.750171\pi\) | |||||||
\(674\) | −0.765016 | − | 3.18823i | −0.0294673 | − | 0.122806i | ||||
\(675\) | − | 13.7905i | − | 0.530797i | ||||||
\(676\) | −4.20027 | − | 25.6585i | −0.161549 | − | 0.986865i | ||||
\(677\) | − | 45.0827i | − | 1.73267i | −0.499466 | − | 0.866334i | \(-0.666470\pi\) | ||
0.499466 | − | 0.866334i | \(-0.333530\pi\) | |||||||
\(678\) | 0.771012 | + | 3.21322i | 0.0296105 | + | 0.123403i | ||||
\(679\) | −17.3039 | + | 29.9712i | −0.664063 | + | 1.15019i | ||||
\(680\) | −33.8027 | − | 11.9840i | −1.29627 | − | 0.459567i | ||||
\(681\) | 0.428529 | 0.0164213 | ||||||||
\(682\) | −13.3491 | + | 0.585081i | −0.511163 | + | 0.0224039i | ||||
\(683\) | −5.72602 | − | 9.91776i | −0.219100 | − | 0.379492i | 0.735433 | − | 0.677597i | \(-0.236979\pi\) |
−0.954533 | + | 0.298105i | \(0.903645\pi\) | |||||||
\(684\) | 10.6313 | + | 0.559756i | 0.406498 | + | 0.0214028i | ||||
\(685\) | 28.3541 | + | 49.1108i | 1.08336 | + | 1.87643i | ||||
\(686\) | 11.3202 | + | 47.1773i | 0.432207 | + | 1.80124i | ||||
\(687\) | −4.82153 | + | 8.35114i | −0.183953 | + | 0.318616i | ||||
\(688\) | 0.453571 | + | 0.0478954i | 0.0172923 | + | 0.00182599i | ||||
\(689\) | 5.49685 | − | 4.01651i | 0.209413 | − | 0.153017i | ||||
\(690\) | 3.60719 | − | 3.42226i | 0.137323 | − | 0.130283i | ||||
\(691\) | −4.05055 | + | 7.01575i | −0.154090 | + | 0.266892i | −0.932727 | − | 0.360583i | \(-0.882578\pi\) |
0.778637 | + | 0.627474i | \(0.215911\pi\) | |||||||
\(692\) | 0.383158 | − | 0.589697i | 0.0145655 | − | 0.0224169i | ||||
\(693\) | −28.7708 | − | 24.9955i | −1.09291 | − | 0.949500i | ||||
\(694\) | −34.2646 | − | 36.1161i | −1.30067 | − | 1.37095i | ||||
\(695\) | −5.12540 | + | 2.95915i | −0.194418 | + | 0.112247i | ||||
\(696\) | −3.17416 | − | 1.12533i | −0.120316 | − | 0.0426556i | ||||
\(697\) | − | 40.0944i | − | 1.51868i | ||||||
\(698\) | −8.73079 | + | 29.4615i | −0.330465 | + | 1.11513i | ||||
\(699\) | −3.92400 | + | 6.79658i | −0.148419 | + | 0.257070i | ||||
\(700\) | −17.6422 | + | 27.1521i | −0.666811 | + | 1.02625i | ||||
\(701\) | 4.43680i | 0.167576i | 0.996484 | + | 0.0837879i | \(0.0267018\pi\) | ||||
−0.996484 | + | 0.0837879i | \(0.973298\pi\) | |||||||
\(702\) | −15.3167 | − | 13.0132i | −0.578091 | − | 0.491153i | ||||
\(703\) | 9.11751 | 0.343874 | ||||||||
\(704\) | 9.08579 | − | 24.9289i | 0.342434 | − | 0.939542i | ||||
\(705\) | −10.6744 | + | 18.4885i | −0.402019 | + | 0.696318i | ||||
\(706\) | −18.6578 | − | 5.52917i | −0.702197 | − | 0.208093i | ||||
\(707\) | −76.7071 | −2.88487 | ||||||||
\(708\) | 8.76079 | + | 17.2044i | 0.329251 | + | 0.646579i | ||||
\(709\) | −34.5585 | + | 19.9524i | −1.29787 | + | 0.749327i | −0.980036 | − | 0.198818i | \(-0.936290\pi\) |
−0.317837 | + | 0.948145i | \(0.602956\pi\) | |||||||
\(710\) | 10.6688 | − | 10.1219i | 0.400394 | − | 0.379867i | ||||
\(711\) | 2.45826 | + | 4.25783i | 0.0921919 | + | 0.159681i | ||||
\(712\) | −34.6895 | + | 6.41623i | −1.30005 | + | 0.240459i | ||||
\(713\) | 4.13922 | + | 2.38978i | 0.155015 | + | 0.0894979i | ||||
\(714\) | −14.8439 | + | 14.0829i | −0.555519 | + | 0.527039i | ||||
\(715\) | −14.8278 | − | 31.5507i | −0.554528 | − | 1.17993i | ||||
\(716\) | −21.0396 | − | 1.10777i | −0.786287 | − | 0.0413993i | ||||
\(717\) | −2.67385 | + | 4.63124i | −0.0998566 | + | 0.172957i | ||||
\(718\) | 0.897233 | + | 3.73925i | 0.0334845 | + | 0.139548i | ||||
\(719\) | −0.748170 | + | 0.431956i | −0.0279020 | + | 0.0161093i | −0.513886 | − | 0.857858i | \(-0.671795\pi\) |
0.485984 | + | 0.873968i | \(0.338461\pi\) | |||||||
\(720\) | −3.04087 | + | 28.7972i | −0.113327 | + | 1.07321i | ||||
\(721\) | 27.4590 | + | 47.5604i | 1.02263 | + | 1.77124i | ||||
\(722\) | 5.78833 | − | 19.5324i | 0.215419 | − | 0.726919i | ||||
\(723\) | − | 5.95656i | − | 0.221527i | ||||||
\(724\) | 13.7585 | − | 7.00610i | 0.511331 | − | 0.260380i | ||||
\(725\) | 5.01873 | + | 2.89757i | 0.186391 | + | 0.107613i | ||||
\(726\) | 8.75479 | + | 6.95734i | 0.324921 | + | 0.258211i | ||||
\(727\) | − | 11.2985i | − | 0.419039i | −0.977804 | − | 0.209520i | \(-0.932810\pi\) | ||
0.977804 | − | 0.209520i | \(-0.0671901\pi\) | |||||||
\(728\) | 13.5092 | + | 45.2163i | 0.500684 | + | 1.67583i | ||||
\(729\) | 2.96339 | 0.109755 | ||||||||
\(730\) | −10.2839 | − | 42.8585i | −0.380624 | − | 1.58626i | ||||
\(731\) | −0.429501 | − | 0.247972i | −0.0158857 | − | 0.00917159i | ||||
\(732\) | −15.0180 | + | 7.64744i | −0.555081 | + | 0.282658i | ||||
\(733\) | −36.0138 | −1.33020 | −0.665100 | − | 0.746754i | \(-0.731611\pi\) | ||||
−0.665100 | + | 0.746754i | \(0.731611\pi\) | |||||||
\(734\) | 13.6061 | + | 4.03212i | 0.502211 | + | 0.148828i | ||||
\(735\) | 15.1027 | + | 26.1586i | 0.557071 | + | 0.964875i | ||||
\(736\) | −7.53311 | + | 5.77308i | −0.277674 | + | 0.212799i | ||||
\(737\) | −14.7786 | + | 17.0108i | −0.544377 | + | 0.626601i | ||||
\(738\) | −31.4793 | + | 7.55347i | −1.15877 | + | 0.278047i | ||||
\(739\) | −7.70844 | − | 4.45047i | −0.283560 | − | 0.163713i | 0.351474 | − | 0.936198i | \(-0.385681\pi\) |
−0.635034 | + | 0.772484i | \(0.719014\pi\) | |||||||
\(740\) | −1.30394 | + | 24.7655i | −0.0479339 | + | 0.910396i | ||||
\(741\) | 4.48582 | − | 3.27776i | 0.164791 | − | 0.120412i | ||||
\(742\) | −8.96426 | + | 8.50470i | −0.329088 | + | 0.312217i | ||||
\(743\) | 8.71927 | + | 5.03407i | 0.319879 | + | 0.184682i | 0.651339 | − | 0.758787i | \(-0.274208\pi\) |
−0.331460 | + | 0.943469i | \(0.607541\pi\) | |||||||
\(744\) | 5.69552 | − | 1.05345i | 0.208808 | − | 0.0386215i | ||||
\(745\) | −25.3221 | + | 14.6197i | −0.927731 | + | 0.535626i | ||||
\(746\) | 32.1391 | − | 30.4915i | 1.17670 | − | 1.11637i | ||||
\(747\) | 27.4342 | − | 15.8392i | 1.00377 | − | 0.579524i | ||||
\(748\) | −20.0409 | + | 20.7549i | −0.732767 | + | 0.758873i | ||||
\(749\) | − | 52.7810i | − | 1.92857i | ||||||
\(750\) | 1.26420 | − | 4.26597i | 0.0461621 | − | 0.155771i | ||||
\(751\) | −16.6146 | − | 9.59247i | −0.606277 | − | 0.350034i | 0.165230 | − | 0.986255i | \(-0.447163\pi\) |
−0.771507 | + | 0.636221i | \(0.780497\pi\) | |||||||
\(752\) | 23.9678 | − | 32.9552i | 0.874017 | − | 1.20175i | ||||
\(753\) | −19.6083 | −0.714565 | ||||||||
\(754\) | 7.95410 | − | 2.83990i | 0.289671 | − | 0.103423i | ||||
\(755\) | 39.7791 | 1.44771 | ||||||||
\(756\) | 30.5895 | + | 19.8756i | 1.11253 | + | 0.722870i | ||||
\(757\) | −16.5521 | + | 28.6691i | −0.601598 | + | 1.04200i | 0.390982 | + | 0.920399i | \(0.372136\pi\) |
−0.992579 | + | 0.121599i | \(0.961198\pi\) | |||||||
\(758\) | −2.91617 | + | 9.84044i | −0.105920 | + | 0.357421i | ||||
\(759\) | −1.30337 | − | 3.78172i | −0.0473095 | − | 0.137268i | ||||
\(760\) | −16.6589 | − | 5.90607i | −0.604282 | − | 0.214236i | ||||
\(761\) | 1.79615 | + | 3.11102i | 0.0651104 | + | 0.112774i | 0.896743 | − | 0.442552i | \(-0.145927\pi\) |
−0.831633 | + | 0.555326i | \(0.812593\pi\) | |||||||
\(762\) | −8.30162 | + | 7.87602i | −0.300736 | + | 0.285318i | ||||
\(763\) | 5.25577 | − | 3.03442i | 0.190272 | − | 0.109853i | ||||
\(764\) | −14.9160 | + | 22.9565i | −0.539643 | + | 0.830535i | ||||
\(765\) | 15.7438 | − | 27.2690i | 0.569217 | − | 0.985912i | ||||
\(766\) | −26.2407 | − | 27.6586i | −0.948114 | − | 0.999347i | ||||
\(767\) | −44.2856 | − | 19.5735i | −1.59906 | − | 0.706758i | ||||
\(768\) | −2.40225 | + | 11.2479i | −0.0866837 | + | 0.405872i | ||||
\(769\) | 3.83982 | − | 6.65076i | 0.138467 | − | 0.239833i | −0.788449 | − | 0.615100i | \(-0.789116\pi\) |
0.926917 | + | 0.375267i | \(0.122449\pi\) | |||||||
\(770\) | 34.0066 | + | 53.3599i | 1.22551 | + | 1.92296i | ||||
\(771\) | −19.4706 | + | 11.2414i | −0.701217 | + | 0.404848i | ||||
\(772\) | −0.490097 | + | 9.30828i | −0.0176390 | + | 0.335012i | ||||
\(773\) | 39.0156 | − | 22.5257i | 1.40329 | − | 0.810192i | 0.408564 | − | 0.912730i | \(-0.366030\pi\) |
0.994729 | + | 0.102538i | \(0.0326963\pi\) | |||||||
\(774\) | −0.113776 | + | 0.383930i | −0.00408960 | + | 0.0138001i | ||||
\(775\) | −9.96697 | −0.358024 | ||||||||
\(776\) | 7.06833 | − | 19.9372i | 0.253738 | − | 0.715705i | ||||
\(777\) | 12.2533 | + | 7.07444i | 0.439584 | + | 0.253794i | ||||
\(778\) | 18.7592 | − | 4.50127i | 0.672549 | − | 0.161378i | ||||
\(779\) | − | 19.7596i | − | 0.707962i | ||||||
\(780\) | 8.26168 | + | 12.6534i | 0.295816 | + | 0.453064i | ||||
\(781\) | −3.85493 | − | 11.1850i | −0.137940 | − | 0.400231i | ||||
\(782\) | 10.0353 | − | 2.40797i | 0.358861 | − | 0.0861087i | ||||
\(783\) | 3.26439 | − | 5.65410i | 0.116660 | − | 0.202061i | ||||
\(784\) | −23.4245 | − | 52.6813i | −0.836590 | − | 1.88148i | ||||
\(785\) | − | 57.3552i | − | 2.04709i | ||||||
\(786\) | 9.70593 | + | 2.87631i | 0.346199 | + | 0.102595i | ||||
\(787\) | −17.4940 | + | 10.1002i | −0.623593 | + | 0.360032i | −0.778267 | − | 0.627934i | \(-0.783901\pi\) |
0.154673 | + | 0.987966i | \(0.450567\pi\) | |||||||
\(788\) | −0.360204 | + | 6.84126i | −0.0128317 | + | 0.243710i | ||||
\(789\) | 4.71841 | − | 2.72417i | 0.167980 | − | 0.0969831i | ||||
\(790\) | −1.90455 | − | 7.93726i | −0.0677607 | − | 0.282395i | ||||
\(791\) | 13.0263 | + | 7.52073i | 0.463162 | + | 0.267406i | ||||
\(792\) | 20.0708 | + | 11.8246i | 0.713185 | + | 0.420170i | ||||
\(793\) | 17.0860 | − | 38.6576i | 0.606743 | − | 1.37277i | ||||
\(794\) | 38.2697 | − | 36.3077i | 1.35814 | − | 1.28851i | ||||
\(795\) | −1.97845 | + | 3.42677i | −0.0701683 | + | 0.121535i | ||||
\(796\) | 10.6951 | − | 16.4603i | 0.379078 | − | 0.583418i | ||||
\(797\) | −3.08464 | − | 5.34275i | −0.109264 | − | 0.189250i | 0.806209 | − | 0.591631i | \(-0.201516\pi\) |
−0.915472 | + | 0.402381i | \(0.868183\pi\) | |||||||
\(798\) | −7.31548 | + | 6.94044i | −0.258965 | + | 0.245689i | ||||
\(799\) | −38.3734 | + | 22.1549i | −1.35755 | + | 0.783784i | ||||
\(800\) | 7.58503 | − | 18.2804i | 0.268171 | − | 0.646311i | ||||
\(801\) | − | 30.9728i | − | 1.09437i | ||||||
\(802\) | −2.83967 | − | 0.841526i | −0.100272 | − | 0.0297153i | ||||
\(803\) | −34.8072 | − | 6.75538i | −1.22832 | − | 0.238392i | ||||
\(804\) | 5.32202 | − | 8.19083i | 0.187693 | − | 0.288868i | ||||
\(805\) | − | 22.6335i | − | 0.797725i | ||||||
\(806\) | −9.40520 | + | 11.0700i | −0.331284 | + | 0.389924i | ||||
\(807\) | 5.29461i | 0.186379i | ||||||||
\(808\) | 46.1032 | − | 8.52733i | 1.62191 | − | 0.299990i | ||||
\(809\) | 15.3414 | + | 8.85737i | 0.539375 | + | 0.311408i | 0.744826 | − | 0.667259i | \(-0.232533\pi\) |
−0.205450 | + | 0.978668i | \(0.565866\pi\) | |||||||
\(810\) | −18.2479 | − | 5.40768i | −0.641165 | − | 0.190007i | ||||
\(811\) | 46.4482i | 1.63102i | 0.578745 | + | 0.815509i | \(0.303543\pi\) | ||||
−0.578745 | + | 0.815509i | \(0.696457\pi\) | |||||||
\(812\) | −13.6605 | + | 6.95620i | −0.479390 | + | 0.244115i | ||||
\(813\) | 3.68138 | + | 6.37634i | 0.129112 | + | 0.223628i | ||||
\(814\) | 17.6978 | + | 9.20912i | 0.620308 | + | 0.322780i | ||||
\(815\) | 36.0093 | − | 20.7900i | 1.26135 | − | 0.728241i | ||||
\(816\) | 7.35605 | − | 10.1144i | 0.257513 | − | 0.354074i | ||||
\(817\) | −0.211670 | − | 0.122208i | −0.00740539 | − | 0.00427551i | ||||
\(818\) | 16.6654 | + | 17.5659i | 0.582691 | + | 0.614177i | ||||
\(819\) | −41.1934 | + | 4.44257i | −1.43941 | + | 0.155236i | ||||
\(820\) | 53.6721 | + | 2.82593i | 1.87431 | + | 0.0986857i | ||||
\(821\) | 9.64453 | − | 16.7048i | 0.336596 | − | 0.583002i | −0.647194 | − | 0.762325i | \(-0.724058\pi\) |
0.983790 | + | 0.179324i | \(0.0573909\pi\) | |||||||
\(822\) | −19.2294 | + | 4.61409i | −0.670701 | + | 0.160935i | ||||
\(823\) | −30.6000 | + | 17.6669i | −1.06665 | + | 0.615830i | −0.927264 | − | 0.374408i | \(-0.877846\pi\) |
−0.139385 | + | 0.990238i | \(0.544513\pi\) | |||||||
\(824\) | −21.7908 | − | 25.5327i | −0.759120 | − | 0.889473i | ||||
\(825\) | 6.29690 | + | 5.47061i | 0.219230 | + | 0.190462i | ||||
\(826\) | 84.2595 | + | 24.9700i | 2.93176 | + | 0.868816i | ||||
\(827\) | − | 7.30107i | − | 0.253883i | −0.991910 | − | 0.126941i | \(-0.959484\pi\) | ||
0.991910 | − | 0.126941i | \(-0.0405160\pi\) | |||||||
\(828\) | −3.78113 | − | 7.42535i | −0.131403 | − | 0.258049i | ||||
\(829\) | −5.44359 | + | 9.42857i | −0.189064 | + | 0.327468i | −0.944938 | − | 0.327249i | \(-0.893879\pi\) |
0.755875 | + | 0.654716i | \(0.227212\pi\) | |||||||
\(830\) | −51.1417 | + | 12.2714i | −1.77515 | + | 0.425948i | ||||
\(831\) | −12.5591 | −0.435669 | ||||||||
\(832\) | −13.1460 | − | 25.6746i | −0.455756 | − | 0.890105i | ||||
\(833\) | 62.6920i | 2.17215i | ||||||||
\(834\) | −0.481545 | − | 2.00686i | −0.0166745 | − | 0.0694917i | ||||
\(835\) | 19.2481 | − | 33.3388i | 0.666109 | − | 1.15374i | ||||
\(836\) | −9.87670 | + | 10.2286i | −0.341593 | + | 0.353762i | ||||
\(837\) | 11.2288i | 0.388123i | ||||||||
\(838\) | −4.05022 | − | 1.20027i | −0.139913 | − | 0.0414625i | ||||
\(839\) | 18.6343 | + | 32.2755i | 0.643326 | + | 1.11427i | 0.984685 | + | 0.174341i | \(0.0557794\pi\) |
−0.341359 | + | 0.939933i | \(0.610887\pi\) | |||||||
\(840\) | −17.8058 | − | 20.8633i | −0.614357 | − | 0.719851i | ||||
\(841\) | −13.1282 | − | 22.7387i | −0.452697 | − | 0.784094i | ||||
\(842\) | −4.39207 | − | 18.3041i | −0.151361 | − | 0.630801i | ||||
\(843\) | −17.5932 | − | 10.1575i | −0.605943 | − | 0.349841i | ||||
\(844\) | 0.0520477 | − | 0.988528i | 0.00179155 | − | 0.0340265i | ||||
\(845\) | −36.1064 | − | 11.5156i | −1.24210 | − | 0.396147i | ||||
\(846\) | 24.6237 | + | 25.9543i | 0.846581 | + | 0.892327i | ||||
\(847\) | 50.4028 | − | 7.11343i | 1.73186 | − | 0.244420i | ||||
\(848\) | 4.44234 | − | 6.10810i | 0.152551 | − | 0.209753i | ||||
\(849\) | −9.99895 | + | 5.77290i | −0.343163 | + | 0.198125i | ||||
\(850\) | −15.6125 | + | 14.8121i | −0.535505 | + | 0.508051i | ||||
\(851\) | −3.56814 | − | 6.18020i | −0.122314 | − | 0.211854i | ||||
\(852\) | 2.32712 | + | 4.56998i | 0.0797258 | + | 0.156565i | ||||
\(853\) | 25.5782 | 0.875780 | 0.437890 | − | 0.899028i | \(-0.355726\pi\) | ||||
0.437890 | + | 0.899028i | \(0.355726\pi\) | |||||||
\(854\) | −21.7967 | + | 73.5516i | −0.745868 | + | 2.51688i | ||||
\(855\) | 7.75896 | − | 13.4389i | 0.265351 | − | 0.459601i | ||||
\(856\) | 5.86752 | + | 31.7229i | 0.200548 | + | 1.08427i | ||||
\(857\) | − | 6.28218i | − | 0.214595i | −0.994227 | − | 0.107298i | \(-0.965780\pi\) | ||
0.994227 | − | 0.107298i | \(-0.0342198\pi\) | |||||||
\(858\) | 12.0180 | − | 1.83150i | 0.410289 | − | 0.0625265i | ||||
\(859\) | 20.6695i | 0.705234i | 0.935768 | + | 0.352617i | \(0.114708\pi\) | ||||
−0.935768 | + | 0.352617i | \(0.885292\pi\) | |||||||
\(860\) | 0.362219 | − | 0.557471i | 0.0123516 | − | 0.0190096i | ||||
\(861\) | 15.3319 | − | 26.5555i | 0.522508 | − | 0.905011i | ||||
\(862\) | 5.65904 | + | 1.67703i | 0.192748 | + | 0.0571200i | ||||
\(863\) | 23.1284 | 0.787302 | 0.393651 | − | 0.919260i | \(-0.371212\pi\) | ||||
0.393651 | + | 0.919260i | \(0.371212\pi\) | |||||||
\(864\) | −20.5947 | − | 8.54528i | −0.700646 | − | 0.290716i | ||||
\(865\) | −0.512533 | − | 0.887734i | −0.0174267 | − | 0.0301838i | ||||
\(866\) | −32.8524 | − | 34.6276i | −1.11637 | − | 1.17669i | ||||
\(867\) | −1.19415 | + | 0.689443i | −0.0405555 | + | 0.0234147i | ||||
\(868\) | 14.3649 | − | 22.1083i | 0.487578 | − | 0.750404i | ||||
\(869\) | −6.44618 | − | 1.25107i | −0.218672 | − | 0.0424398i | ||||
\(870\) | −3.56121 | + | 3.37863i | −0.120736 | + | 0.114546i | ||||
\(871\) | 2.62668 | + | 24.3557i | 0.0890016 | + | 0.825260i | ||||
\(872\) | −2.82154 | + | 2.40805i | −0.0955495 | + | 0.0815467i | ||||
\(873\) | 16.0836 | + | 9.28585i | 0.544346 | + | 0.314278i | ||||
\(874\) | 4.94566 | − | 1.18671i | 0.167289 | − | 0.0401411i | ||||
\(875\) | −10.1265 | − | 17.5397i | −0.342339 | − | 0.592949i | ||||
\(876\) | 15.3485 | + | 0.808126i | 0.518578 | + | 0.0273040i | ||||
\(877\) | 11.4072 | + | 19.7578i | 0.385193 | + | 0.667173i | 0.991796 | − | 0.127831i | \(-0.0408016\pi\) |
−0.606603 | + | 0.795005i | \(0.707468\pi\) | |||||||
\(878\) | 0.392133 | − | 1.32323i | 0.0132338 | − | 0.0446568i | ||||
\(879\) | 8.83401i | 0.297964i | ||||||||
\(880\) | −26.3708 | − | 28.2904i | −0.888961 | − | 0.953670i | ||||
\(881\) | 3.31125 | − | 5.73526i | 0.111559 | − | 0.193226i | −0.804840 | − | 0.593492i | \(-0.797749\pi\) |
0.916399 | + | 0.400266i | \(0.131082\pi\) | |||||||
\(882\) | 49.2214 | − | 11.8107i | 1.65737 | − | 0.397686i | ||||
\(883\) | − | 8.42610i | − | 0.283561i | −0.989898 | − | 0.141780i | \(-0.954717\pi\) | ||
0.989898 | − | 0.141780i | \(-0.0452827\pi\) | |||||||
\(884\) | 1.71881 | + | 31.3176i | 0.0578100 | + | 1.05332i | ||||
\(885\) | 28.1417 | 0.945972 | ||||||||
\(886\) | −9.69694 | − | 40.4123i | −0.325775 | − | 1.35768i | ||||
\(887\) | 20.7325 | − | 35.9098i | 0.696131 | − | 1.20573i | −0.273667 | − | 0.961824i | \(-0.588237\pi\) |
0.969798 | − | 0.243909i | \(-0.0784300\pi\) | |||||||
\(888\) | −8.15103 | − | 2.88978i | −0.273531 | − | 0.0969747i | ||||
\(889\) | 52.0888i | 1.74700i | ||||||||
\(890\) | −14.6106 | + | 49.3027i | −0.489750 | + | 1.65263i | ||||
\(891\) | −10.0414 | + | 11.5581i | −0.336400 | + | 0.387210i | ||||
\(892\) | −0.0503070 | + | 0.955467i | −0.00168440 | + | 0.0319914i | ||||
\(893\) | −18.9115 | + | 10.9185i | −0.632848 | + | 0.365375i | ||||
\(894\) | −2.37908 | − | 9.91491i | −0.0795684 | − | 0.331604i | ||||
\(895\) | −15.3552 | + | 26.5959i | −0.513267 | + | 0.889004i | ||||
\(896\) | 29.6169 | + | 43.1715i | 0.989431 | + | 1.44226i | ||||
\(897\) | −3.97732 | − | 1.75791i | −0.132799 | − | 0.0586948i | ||||
\(898\) | −16.0713 | + | 15.2474i | −0.536306 | + | 0.508812i | ||||
\(899\) | −4.08645 | − | 2.35931i | −0.136291 | − | 0.0786874i | ||||
\(900\) | 14.5707 | + | 9.46737i | 0.485690 | + | 0.315579i | ||||
\(901\) | −7.11235 | + | 4.10631i | −0.236947 | + | 0.136801i | ||||
\(902\) | 19.9582 | − | 38.3550i | 0.664534 | − | 1.27708i | ||||
\(903\) | −0.189646 | − | 0.328477i | −0.00631103 | − | 0.0109310i | ||||
\(904\) | −8.66524 | − | 3.07208i | −0.288202 | − | 0.102176i | ||||
\(905\) | − | 22.5052i | − | 0.748098i | ||||||
\(906\) | −3.94140 | + | 13.3000i | −0.130944 | + | 0.441863i | ||||
\(907\) | 11.2203 | + | 6.47804i | 0.372564 | + | 0.215100i | 0.674578 | − | 0.738204i | \(-0.264326\pi\) |
−0.302014 | + | 0.953303i | \(0.597659\pi\) | |||||||
\(908\) | −0.649599 | + | 0.999763i | −0.0215577 | + | 0.0331783i | ||||
\(909\) | 41.1636i | 1.36531i | ||||||||
\(910\) | 67.6676 | + | 12.3602i | 2.24316 | + | 0.409738i | ||||
\(911\) | − | 36.2061i | − | 1.19956i | −0.800165 | − | 0.599780i | \(-0.795255\pi\) | ||
0.800165 | − | 0.599780i | \(-0.204745\pi\) | |||||||
\(912\) | 3.62527 | − | 4.98465i | 0.120045 | − | 0.165058i | ||||
\(913\) | −8.06097 | + | 41.5343i | −0.266779 | + | 1.37459i | ||||
\(914\) | 14.9866 | − | 50.5712i | 0.495711 | − | 1.67275i | ||||
\(915\) | 24.5653i | 0.812105i | ||||||||
\(916\) | −12.1744 | − | 23.9080i | −0.402254 | − | 0.789944i | ||||
\(917\) | 39.9062 | − | 23.0399i | 1.31782 | − | 0.760843i | ||||
\(918\) | 16.6873 | + | 17.5890i | 0.550763 | + | 0.580524i | ||||
\(919\) | −2.85284 | − | 4.94127i | −0.0941066 | − | 0.162997i | 0.815129 | − | 0.579280i | \(-0.196666\pi\) |
−0.909235 | + | 0.416282i | \(0.863333\pi\) | |||||||
\(920\) | 2.51610 | + | 13.6034i | 0.0829535 | + | 0.448490i | ||||
\(921\) | 8.57710 | − | 14.8560i | 0.282625 | − | 0.489521i | ||||
\(922\) | −26.1750 | − | 27.5894i | −0.862027 | − | 0.908608i | ||||
\(923\) | −11.7635 | − | 5.19929i | −0.387201 | − | 0.171137i | ||||
\(924\) | −21.2101 | + | 6.08296i | −0.697761 | + | 0.200115i | ||||
\(925\) | 12.8878 | + | 7.44076i | 0.423747 | + | 0.244651i | ||||
\(926\) | −46.4816 | + | 11.1533i | −1.52748 | + | 0.366519i | ||||
\(927\) | 25.5225 | − | 14.7354i | 0.838269 | − | 0.483975i | ||||
\(928\) | 7.43707 | − | 5.69948i | 0.244134 | − | 0.187095i | ||||
\(929\) | −29.7125 | + | 17.1545i | −0.974834 | + | 0.562821i | −0.900707 | − | 0.434428i | \(-0.856951\pi\) |
−0.0741278 | + | 0.997249i | \(0.523617\pi\) | |||||||
\(930\) | 2.39886 | − | 8.09479i | 0.0786616 | − | 0.265439i | ||||
\(931\) | 30.8964i | 1.01259i | ||||||||
\(932\) | −9.90816 | − | 19.4576i | −0.324553 | − | 0.637354i | ||||
\(933\) | 3.59967 | − | 6.23480i | 0.117848 | − | 0.204118i | ||||
\(934\) | 11.4671 | + | 47.7895i | 0.375215 | + | 1.56372i | ||||
\(935\) | 13.7031 | + | 39.7593i | 0.448140 | + | 1.30027i | ||||
\(936\) | 24.2646 | − | 7.24948i | 0.793113 | − | 0.236957i | ||||
\(937\) | − | 21.3738i | − | 0.698252i | −0.937076 | − | 0.349126i | \(-0.886479\pi\) | ||
0.937076 | − | 0.349126i | \(-0.113521\pi\) | |||||||
\(938\) | −10.3744 | − | 43.2358i | −0.338737 | − | 1.41170i | ||||
\(939\) | −8.19201 | − | 4.72966i | −0.267336 | − | 0.154347i | ||||
\(940\) | −26.9529 | − | 52.9298i | −0.879106 | − | 1.72638i | ||||
\(941\) | 2.75398 | 0.0897772 | 0.0448886 | − | 0.998992i | \(-0.485707\pi\) | ||||
0.0448886 | + | 0.998992i | \(0.485707\pi\) | |||||||
\(942\) | 19.1765 | + | 5.68287i | 0.624803 | + | 0.185158i | ||||
\(943\) | −13.3938 | + | 7.73293i | −0.436163 | + | 0.251819i | ||||
\(944\) | −53.4183 | − | 5.64077i | −1.73862 | − | 0.183591i | ||||
\(945\) | 46.0496 | − | 26.5868i | 1.49799 | − | 0.864868i | ||||
\(946\) | −0.287433 | − | 0.451012i | −0.00934524 | − | 0.0146637i | ||||
\(947\) | 6.51543 | − | 11.2851i | 0.211723 | − | 0.366715i | −0.740531 | − | 0.672022i | \(-0.765426\pi\) |
0.952254 | + | 0.305307i | \(0.0987592\pi\) | |||||||
\(948\) | 2.84250 | + | 0.149662i | 0.0923200 | + | 0.00486080i | ||||
\(949\) | −31.1224 | + | 22.7409i | −1.01028 | + | 0.738202i | ||||
\(950\) | −7.69428 | + | 7.29982i | −0.249635 | + | 0.236837i | ||||
\(951\) | 2.23012 | − | 3.86268i | 0.0723166 | − | 0.125256i | ||||
\(952\) | −10.3540 | − | 55.9790i | −0.335574 | − | 1.81429i | ||||
\(953\) | −31.3723 | + | 18.1128i | −1.01625 | + | 0.586730i | −0.913015 | − | 0.407927i | \(-0.866252\pi\) |
−0.103232 | + | 0.994657i | \(0.532919\pi\) | |||||||
\(954\) | 4.56390 | + | 4.81052i | 0.147762 | + | 0.155746i | ||||
\(955\) | 19.9525 | + | 34.5588i | 0.645649 | + | 1.11830i | ||||
\(956\) | −6.75149 | − | 13.2585i | −0.218359 | − | 0.428811i | ||||
\(957\) | 1.28676 | + | 3.73350i | 0.0415950 | + | 0.120687i | ||||
\(958\) | −4.34314 | − | 1.28707i | −0.140320 | − | 0.0415834i | ||||
\(959\) | −45.0075 | + | 77.9553i | −1.45337 | + | 2.51731i | ||||
\(960\) | 13.0211 | + | 10.5600i | 0.420254 | + | 0.340823i | ||||
\(961\) | −22.8845 | −0.738210 | ||||||||
\(962\) | 20.4256 | − | 7.29268i | 0.658548 | − | 0.235125i | ||||
\(963\) | −28.3240 | −0.912728 | ||||||||
\(964\) | 13.8967 | + | 9.02945i | 0.447584 | + | 0.290819i | ||||
\(965\) | 11.7665 | + | 6.79339i | 0.378777 | + | 0.218687i | ||||
\(966\) | 7.56741 | + | 2.24257i | 0.243477 | + | 0.0721535i | ||||
\(967\) | − | 18.6913i | − | 0.601070i | −0.953771 | − | 0.300535i | \(-0.902835\pi\) | ||
0.953771 | − | 0.300535i | \(-0.0971653\pi\) | |||||||
\(968\) | −29.5028 | + | 9.87853i | −0.948256 | + | 0.317508i | ||||
\(969\) | −5.80418 | + | 3.35105i | −0.186457 | + | 0.107651i | ||||
\(970\) | −21.2215 | − | 22.3683i | −0.681383 | − | 0.718202i | ||||
\(971\) | −12.7604 | + | 7.36722i | −0.409501 | + | 0.236425i | −0.690575 | − | 0.723261i | \(-0.742643\pi\) |
0.281074 | + | 0.959686i | \(0.409309\pi\) | |||||||
\(972\) | 16.5015 | − | 25.3965i | 0.529284 | − | 0.814593i | ||||
\(973\) | −8.13573 | − | 4.69717i | −0.260820 | − | 0.150584i | ||||
\(974\) | −5.26314 | − | 5.54754i | −0.168642 | − | 0.177755i | ||||
\(975\) | 9.01576 | − | 0.972319i | 0.288735 | − | 0.0311391i | ||||
\(976\) | 4.92392 | − | 46.6298i | 0.157611 | − | 1.49258i | ||||
\(977\) | −16.0358 | − | 9.25826i | −0.513030 | − | 0.296198i | 0.221048 | − | 0.975263i | \(-0.429052\pi\) |
−0.734078 | + | 0.679065i | \(0.762385\pi\) | |||||||
\(978\) | 3.38317 | + | 14.0995i | 0.108182 | + | 0.450851i | ||||
\(979\) | 31.2280 | + | 27.1302i | 0.998050 | + | 0.867084i | ||||
\(980\) | −83.9223 | − | 4.41865i | −2.68080 | − | 0.141149i | ||||
\(981\) | −1.62837 | − | 2.82042i | −0.0519899 | − | 0.0900491i | ||||
\(982\) | −4.00902 | + | 13.5282i | −0.127933 | + | 0.431702i | ||||
\(983\) | −40.9928 | −1.30747 | −0.653734 | − | 0.756724i | \(-0.726799\pi\) | ||||
−0.653734 | + | 0.756724i | \(0.726799\pi\) | |||||||
\(984\) | −6.26278 | + | 17.6651i | −0.199650 | + | 0.563142i | ||||
\(985\) | 8.64796 | + | 4.99290i | 0.275547 | + | 0.159087i | ||||
\(986\) | −9.90734 | + | 2.37727i | −0.315514 | + | 0.0757076i | ||||
\(987\) | −33.8876 | −1.07865 | ||||||||
\(988\) | 0.847079 | + | 15.4342i | 0.0269492 | + | 0.491027i | ||||
\(989\) | 0.191304i | 0.00608311i | ||||||||
\(990\) | 28.6347 | − | 18.2491i | 0.910070 | − | 0.579993i | ||||
\(991\) | 38.0381 | + | 21.9613i | 1.20832 | + | 0.697623i | 0.962392 | − | 0.271665i | \(-0.0875744\pi\) |
0.245927 | + | 0.969288i | \(0.420908\pi\) | |||||||
\(992\) | −6.17603 | + | 14.8846i | −0.196089 | + | 0.472588i | ||||
\(993\) | − | 1.93856i | − | 0.0615184i | ||||||
\(994\) | 22.3818 | + | 6.63275i | 0.709907 | + | 0.210378i | ||||
\(995\) | −14.3064 | − | 24.7794i | −0.453543 | − | 0.785559i | ||||
\(996\) | 0.964310 | − | 18.3149i | 0.0305553 | − | 0.580329i | ||||
\(997\) | 12.5472 | − | 7.24411i | 0.397373 | − | 0.229423i | −0.287977 | − | 0.957637i | \(-0.592983\pi\) |
0.685350 | + | 0.728214i | \(0.259649\pi\) | |||||||
\(998\) | −33.9241 | + | 8.14008i | −1.07385 | + | 0.257670i | ||||
\(999\) | 8.38274 | − | 14.5193i | 0.265218 | − | 0.459371i |
(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 | 572.2.s.a.43.6 | ✓ | 160 | |
4.3 | odd | 2 | inner | 572.2.s.a.43.47 | yes | 160 | |
11.10 | odd | 2 | inner | 572.2.s.a.43.75 | yes | 160 | |
13.10 | even | 6 | inner | 572.2.s.a.439.34 | yes | 160 | |
44.43 | even | 2 | inner | 572.2.s.a.43.34 | yes | 160 | |
52.23 | odd | 6 | inner | 572.2.s.a.439.75 | yes | 160 | |
143.10 | odd | 6 | inner | 572.2.s.a.439.47 | yes | 160 | |
572.439 | even | 6 | inner | 572.2.s.a.439.6 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.s.a.43.6 | ✓ | 160 | 1.1 | even | 1 | trivial | |
572.2.s.a.43.34 | yes | 160 | 44.43 | even | 2 | inner | |
572.2.s.a.43.47 | yes | 160 | 4.3 | odd | 2 | inner | |
572.2.s.a.43.75 | yes | 160 | 11.10 | odd | 2 | inner | |
572.2.s.a.439.6 | yes | 160 | 572.439 | even | 6 | inner | |
572.2.s.a.439.34 | yes | 160 | 13.10 | even | 6 | inner | |
572.2.s.a.439.47 | yes | 160 | 143.10 | odd | 6 | inner | |
572.2.s.a.439.75 | yes | 160 | 52.23 | odd | 6 | inner |