Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(99,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.u (of order \(18\), degree \(6\), not 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 899.1 | ||
Root | \(0.342020 + 0.939693i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.899 |
Dual form | 950.2.u.c.149.1 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.642788 | − | 0.766044i | −0.454519 | − | 0.541675i | ||||
\(3\) | −0.524005 | + | 1.43969i | −0.302535 | + | 0.831207i | 0.691523 | + | 0.722354i | \(0.256940\pi\) |
−0.994058 | + | 0.108853i | \(0.965282\pi\) | |||||||
\(4\) | −0.173648 | + | 0.984808i | −0.0868241 | + | 0.492404i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.43969 | − | 0.524005i | 0.587752 | − | 0.213924i | ||||
\(7\) | −0.601535 | − | 0.347296i | −0.227359 | − | 0.131266i | 0.381994 | − | 0.924165i | \(-0.375237\pi\) |
−0.609353 | + | 0.792899i | \(0.708571\pi\) | |||||||
\(8\) | 0.866025 | − | 0.500000i | 0.306186 | − | 0.176777i | ||||
\(9\) | 0.500000 | + | 0.419550i | 0.166667 | + | 0.139850i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.06031 | + | 1.83651i | 0.319695 | + | 0.553727i | 0.980424 | − | 0.196897i | \(-0.0630863\pi\) |
−0.660730 | + | 0.750624i | \(0.729753\pi\) | |||||||
\(12\) | −1.32683 | − | 0.766044i | −0.383022 | − | 0.221138i | ||||
\(13\) | −0.363970 | − | 1.00000i | −0.100947 | − | 0.277350i | 0.878930 | − | 0.476950i | \(-0.158258\pi\) |
−0.979877 | + | 0.199600i | \(0.936036\pi\) | |||||||
\(14\) | 0.120615 | + | 0.684040i | 0.0322357 | + | 0.182817i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 0.196312 | + | 0.233956i | 0.0476127 | + | 0.0567426i | 0.789325 | − | 0.613975i | \(-0.210431\pi\) |
−0.741713 | + | 0.670718i | \(0.765986\pi\) | |||||||
\(18\) | − | 0.652704i | − | 0.153844i | ||||||
\(19\) | 4.11721 | + | 1.43128i | 0.944553 | + | 0.328359i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.815207 | − | 0.684040i | 0.177893 | − | 0.149270i | ||||
\(22\) | 0.725293 | − | 1.99273i | 0.154633 | − | 0.424851i | ||||
\(23\) | −0.921605 | − | 0.162504i | −0.192168 | − | 0.0338844i | 0.0767357 | − | 0.997051i | \(-0.475550\pi\) |
−0.268904 | + | 0.963167i | \(0.586661\pi\) | |||||||
\(24\) | 0.266044 | + | 1.50881i | 0.0543061 | + | 0.307985i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.532089 | + | 0.921605i | −0.104351 | + | 0.180742i | ||||
\(27\) | −4.84651 | + | 2.79813i | −0.932711 | + | 0.538501i | ||||
\(28\) | 0.446476 | − | 0.532089i | 0.0843760 | − | 0.100555i | ||||
\(29\) | 0.467911 | + | 0.392624i | 0.0868889 | + | 0.0729085i | 0.685198 | − | 0.728357i | \(-0.259716\pi\) |
−0.598309 | + | 0.801266i | \(0.704160\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.41147 | + | 2.44474i | −0.253508 | + | 0.439089i | −0.964489 | − | 0.264122i | \(-0.914918\pi\) |
0.710981 | + | 0.703211i | \(0.248251\pi\) | |||||||
\(32\) | 0.342020 | + | 0.939693i | 0.0604612 | + | 0.166116i | ||||
\(33\) | −3.19961 | + | 0.564178i | −0.556981 | + | 0.0982107i | ||||
\(34\) | 0.0530334 | − | 0.300767i | 0.00909516 | − | 0.0515812i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.500000 | + | 0.419550i | −0.0833333 | + | 0.0699250i | ||||
\(37\) | 4.00000i | 0.657596i | 0.944400 | + | 0.328798i | \(0.106644\pi\) | ||||
−0.944400 | + | 0.328798i | \(0.893356\pi\) | |||||||
\(38\) | −1.55007 | − | 4.07398i | −0.251454 | − | 0.660886i | ||||
\(39\) | 1.63041 | 0.261075 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.39053 | + | 2.68993i | 1.15421 | + | 0.420097i | 0.847025 | − | 0.531554i | \(-0.178392\pi\) |
0.307182 | + | 0.951651i | \(0.400614\pi\) | |||||||
\(42\) | −1.04801 | − | 0.184793i | −0.161712 | − | 0.0285141i | ||||
\(43\) | 0.664738 | − | 0.117211i | 0.101372 | − | 0.0178745i | −0.122732 | − | 0.992440i | \(-0.539166\pi\) |
0.224104 | + | 0.974565i | \(0.428055\pi\) | |||||||
\(44\) | −1.99273 | + | 0.725293i | −0.300415 | + | 0.109342i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.467911 | + | 0.810446i | 0.0689897 | + | 0.119494i | ||||
\(47\) | −3.64781 | + | 4.34730i | −0.532088 | + | 0.634118i | −0.963395 | − | 0.268087i | \(-0.913608\pi\) |
0.431306 | + | 0.902206i | \(0.358053\pi\) | |||||||
\(48\) | 0.984808 | − | 1.17365i | 0.142145 | − | 0.169402i | ||||
\(49\) | −3.25877 | − | 5.64436i | −0.465539 | − | 0.806337i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.439693 | + | 0.160035i | −0.0615693 | + | 0.0224094i | ||||
\(52\) | 1.04801 | − | 0.184793i | 0.145333 | − | 0.0256261i | ||||
\(53\) | −2.65366 | − | 0.467911i | −0.364508 | − | 0.0642725i | −0.0116052 | − | 0.999933i | \(-0.503694\pi\) |
−0.352902 | + | 0.935660i | \(0.614805\pi\) | |||||||
\(54\) | 5.25877 | + | 1.91404i | 0.715628 | + | 0.260467i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.694593 | −0.0928189 | ||||||||
\(57\) | −4.21805 | + | 5.17752i | −0.558694 | + | 0.685779i | ||||
\(58\) | − | 0.610815i | − | 0.0802039i | ||||||
\(59\) | −7.56805 | + | 6.35035i | −0.985276 | + | 0.826745i | −0.984877 | − | 0.173255i | \(-0.944571\pi\) |
−0.000398990 | 1.00000i | \(0.500127\pi\) | ||||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.16250 | + | 6.59289i | −0.148843 | + | 0.844133i | 0.815357 | + | 0.578958i | \(0.196541\pi\) |
−0.964200 | + | 0.265174i | \(0.914570\pi\) | |||||||
\(62\) | 2.78006 | − | 0.490200i | 0.353068 | − | 0.0622554i | ||||
\(63\) | −0.155059 | − | 0.426022i | −0.0195356 | − | 0.0536737i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.48886 | + | 2.08840i | 0.306357 | + | 0.257064i | ||||
\(67\) | −8.15555 | + | 9.71941i | −0.996359 | + | 1.18741i | −0.0140972 | + | 0.999901i | \(0.504487\pi\) |
−0.982262 | + | 0.187514i | \(0.939957\pi\) | |||||||
\(68\) | −0.264490 | + | 0.152704i | −0.0320742 | + | 0.0185180i | ||||
\(69\) | 0.716881 | − | 1.24168i | 0.0863024 | − | 0.149480i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.12061 | + | 12.0266i | 0.251671 | + | 1.42730i | 0.804476 | + | 0.593985i | \(0.202446\pi\) |
−0.552805 | + | 0.833310i | \(0.686443\pi\) | |||||||
\(72\) | 0.642788 | + | 0.113341i | 0.0757532 | + | 0.0133573i | ||||
\(73\) | −2.37484 | + | 6.52481i | −0.277954 | + | 0.763672i | 0.719640 | + | 0.694347i | \(0.244307\pi\) |
−0.997594 | + | 0.0693248i | \(0.977916\pi\) | |||||||
\(74\) | 3.06418 | − | 2.57115i | 0.356203 | − | 0.298890i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.12449 | + | 3.80612i | −0.243695 | + | 0.436592i | ||||
\(77\) | − | 1.47296i | − | 0.167860i | ||||||
\(78\) | −1.04801 | − | 1.24897i | −0.118664 | − | 0.141418i | ||||
\(79\) | −2.30541 | − | 0.839100i | −0.259379 | − | 0.0944061i | 0.209058 | − | 0.977903i | \(-0.432960\pi\) |
−0.468436 | + | 0.883497i | \(0.655183\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.14883 | − | 6.51536i | −0.127648 | − | 0.723929i | ||||
\(82\) | −2.68993 | − | 7.39053i | −0.297053 | − | 0.816147i | ||||
\(83\) | 15.0536 | + | 8.69119i | 1.65235 | + | 0.953982i | 0.976105 | + | 0.217301i | \(0.0697253\pi\) |
0.676241 | + | 0.736681i | \(0.263608\pi\) | |||||||
\(84\) | 0.532089 | + | 0.921605i | 0.0580557 | + | 0.100555i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.517074 | − | 0.433877i | −0.0557575 | − | 0.0467861i | ||||
\(87\) | −0.810446 | + | 0.467911i | −0.0868889 | + | 0.0501653i | ||||
\(88\) | 1.83651 | + | 1.06031i | 0.195772 | + | 0.113029i | ||||
\(89\) | −15.0680 | + | 5.48432i | −1.59721 | + | 0.581337i | −0.978854 | − | 0.204561i | \(-0.934423\pi\) |
−0.618356 | + | 0.785898i | \(0.712201\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.128356 | + | 0.727940i | −0.0134553 | + | 0.0763089i | ||||
\(92\) | 0.320070 | − | 0.879385i | 0.0333696 | − | 0.0916822i | ||||
\(93\) | −2.78006 | − | 3.31315i | −0.288279 | − | 0.343557i | ||||
\(94\) | 5.67499 | 0.585331 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.53209 | −0.156368 | ||||||||
\(97\) | −4.00741 | − | 4.77584i | −0.406891 | − | 0.484914i | 0.523217 | − | 0.852199i | \(-0.324732\pi\) |
−0.930108 | + | 0.367286i | \(0.880287\pi\) | |||||||
\(98\) | −2.22913 | + | 6.12449i | −0.225176 | + | 0.618666i | ||||
\(99\) | −0.240352 | + | 1.36310i | −0.0241563 | + | 0.136997i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 13.5030 | − | 4.91469i | 1.34360 | − | 0.489030i | 0.432654 | − | 0.901560i | \(-0.357577\pi\) |
0.910944 | + | 0.412530i | \(0.135355\pi\) | |||||||
\(102\) | 0.405223 | + | 0.233956i | 0.0401230 | + | 0.0231651i | ||||
\(103\) | 16.9752 | − | 9.80066i | 1.67262 | − | 0.965688i | 0.706457 | − | 0.707756i | \(-0.250292\pi\) |
0.966163 | − | 0.257932i | \(-0.0830409\pi\) | |||||||
\(104\) | −0.815207 | − | 0.684040i | −0.0799377 | − | 0.0670757i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.34730 | + | 2.33359i | 0.130861 | + | 0.226658i | ||||
\(107\) | 1.78763 | + | 1.03209i | 0.172817 | + | 0.0997758i | 0.583913 | − | 0.811816i | \(-0.301521\pi\) |
−0.411097 | + | 0.911592i | \(0.634854\pi\) | |||||||
\(108\) | −1.91404 | − | 5.25877i | −0.184178 | − | 0.506025i | ||||
\(109\) | −1.58172 | − | 8.97037i | −0.151501 | − | 0.859206i | −0.961915 | − | 0.273348i | \(-0.911869\pi\) |
0.810414 | − | 0.585858i | \(-0.199242\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.75877 | − | 2.09602i | −0.546598 | − | 0.198946i | ||||
\(112\) | 0.446476 | + | 0.532089i | 0.0421880 | + | 0.0502777i | ||||
\(113\) | 7.18479i | 0.675888i | 0.941166 | + | 0.337944i | \(0.109732\pi\) | ||||
−0.941166 | + | 0.337944i | \(0.890268\pi\) | |||||||
\(114\) | 6.67752 | − | 0.0968323i | 0.625407 | − | 0.00906917i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.467911 | + | 0.392624i | −0.0434445 | + | 0.0364542i | ||||
\(117\) | 0.237565 | − | 0.652704i | 0.0219629 | − | 0.0603425i | ||||
\(118\) | 9.72930 | + | 1.71554i | 0.895654 | + | 0.157928i | ||||
\(119\) | −0.0368366 | − | 0.208911i | −0.00337681 | − | 0.0191508i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.25150 | − | 5.63176i | 0.295591 | − | 0.511978i | ||||
\(122\) | 5.79769 | − | 3.34730i | 0.524898 | − | 0.303050i | ||||
\(123\) | −7.74535 | + | 9.23055i | −0.698375 | + | 0.832291i | ||||
\(124\) | −2.16250 | − | 1.81456i | −0.194199 | − | 0.162952i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.226682 | + | 0.392624i | −0.0201944 | + | 0.0349777i | ||||
\(127\) | −0.557635 | − | 1.53209i | −0.0494821 | − | 0.135951i | 0.912490 | − | 0.409100i | \(-0.134157\pi\) |
−0.961972 | + | 0.273149i | \(0.911935\pi\) | |||||||
\(128\) | −0.984808 | + | 0.173648i | −0.0870455 | + | 0.0153485i | ||||
\(129\) | −0.179578 | + | 1.01844i | −0.0158110 | + | 0.0896684i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.40033 | + | 6.20961i | −0.646570 | + | 0.542536i | −0.906028 | − | 0.423218i | \(-0.860900\pi\) |
0.259458 | + | 0.965754i | \(0.416456\pi\) | |||||||
\(132\) | − | 3.24897i | − | 0.282787i | ||||||
\(133\) | −1.97957 | − | 2.29086i | −0.171650 | − | 0.198643i | ||||
\(134\) | 12.6878 | 1.09606 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.286989 | + | 0.104455i | 0.0246091 | + | 0.00895698i | ||||
\(137\) | 11.3569 | + | 2.00253i | 0.970285 | + | 0.171087i | 0.636258 | − | 0.771476i | \(-0.280481\pi\) |
0.334027 | + | 0.942564i | \(0.391592\pi\) | |||||||
\(138\) | −1.41198 | + | 0.248970i | −0.120196 | + | 0.0211938i | ||||
\(139\) | 6.43242 | − | 2.34121i | 0.545591 | − | 0.198579i | −0.0544957 | − | 0.998514i | \(-0.517355\pi\) |
0.600086 | + | 0.799935i | \(0.295133\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −4.34730 | − | 7.52974i | −0.366108 | − | 0.634118i | ||||
\(142\) | 7.84981 | − | 9.35504i | 0.658741 | − | 0.785057i | ||||
\(143\) | 1.45059 | − | 1.72874i | 0.121304 | − | 0.144565i | ||||
\(144\) | −0.326352 | − | 0.565258i | −0.0271960 | − | 0.0471048i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 6.52481 | − | 2.37484i | 0.539998 | − | 0.196543i | ||||
\(147\) | 9.83375 | − | 1.73396i | 0.811074 | − | 0.143014i | ||||
\(148\) | −3.93923 | − | 0.694593i | −0.323803 | − | 0.0570952i | ||||
\(149\) | −8.36959 | − | 3.04628i | −0.685663 | − | 0.249561i | −0.0243859 | − | 0.999703i | \(-0.507763\pi\) |
−0.661277 | + | 0.750142i | \(0.729985\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.8229 | −0.880759 | −0.440380 | − | 0.897812i | \(-0.645156\pi\) | ||||
−0.440380 | + | 0.897812i | \(0.645156\pi\) | |||||||
\(152\) | 4.28125 | − | 0.819078i | 0.347255 | − | 0.0664360i | ||||
\(153\) | 0.199340i | 0.0161157i | ||||||||
\(154\) | −1.12836 | + | 0.946803i | −0.0909255 | + | 0.0762955i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.283119 | + | 1.60565i | −0.0226676 | + | 0.128555i | ||||
\(157\) | 10.5321 | − | 1.85710i | 0.840555 | − | 0.148212i | 0.263236 | − | 0.964731i | \(-0.415210\pi\) |
0.577319 | + | 0.816519i | \(0.304099\pi\) | |||||||
\(158\) | 0.839100 | + | 2.30541i | 0.0667552 | + | 0.183408i | ||||
\(159\) | 2.06418 | − | 3.57526i | 0.163700 | − | 0.283537i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.497941 | + | 0.417822i | 0.0392432 | + | 0.0329290i | ||||
\(162\) | −4.25260 | + | 5.06805i | −0.334116 | + | 0.398183i | ||||
\(163\) | 2.13727 | − | 1.23396i | 0.167404 | − | 0.0966509i | −0.413957 | − | 0.910296i | \(-0.635854\pi\) |
0.581361 | + | 0.813646i | \(0.302520\pi\) | |||||||
\(164\) | −3.93242 | + | 6.81115i | −0.307070 | + | 0.531861i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.01842 | − | 17.1183i | −0.234275 | − | 1.32864i | ||||
\(167\) | 11.9880 | + | 2.11381i | 0.927659 | + | 0.163571i | 0.617012 | − | 0.786954i | \(-0.288343\pi\) |
0.310647 | + | 0.950525i | \(0.399454\pi\) | |||||||
\(168\) | 0.363970 | − | 1.00000i | 0.0280809 | − | 0.0771517i | ||||
\(169\) | 9.09105 | − | 7.62830i | 0.699312 | − | 0.586792i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.45811 | + | 2.44302i | 0.111505 | + | 0.186822i | ||||
\(172\) | 0.674992i | 0.0514677i | ||||||||
\(173\) | −9.05288 | − | 10.7888i | −0.688278 | − | 0.820257i | 0.302869 | − | 0.953032i | \(-0.402056\pi\) |
−0.991146 | + | 0.132775i | \(0.957611\pi\) | |||||||
\(174\) | 0.879385 | + | 0.320070i | 0.0666660 | + | 0.0242644i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.368241 | − | 2.08840i | −0.0277572 | − | 0.157419i | ||||
\(177\) | −5.17685 | − | 14.2233i | −0.389116 | − | 1.06909i | ||||
\(178\) | 13.8868 | + | 8.01754i | 1.04086 | + | 0.600940i | ||||
\(179\) | 4.70574 | + | 8.15058i | 0.351723 | + | 0.609203i | 0.986552 | − | 0.163451i | \(-0.0522625\pi\) |
−0.634828 | + | 0.772653i | \(0.718929\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −18.7442 | − | 15.7283i | −1.39325 | − | 1.16907i | −0.964005 | − | 0.265884i | \(-0.914336\pi\) |
−0.429242 | − | 0.903190i | \(-0.641219\pi\) | |||||||
\(182\) | 0.640140 | − | 0.369585i | 0.0474503 | − | 0.0273955i | ||||
\(183\) | −8.88257 | − | 5.12836i | −0.656619 | − | 0.379099i | ||||
\(184\) | −0.879385 | + | 0.320070i | −0.0648291 | + | 0.0235959i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.751030 | + | 4.25930i | −0.0550682 | + | 0.312307i | ||||
\(187\) | −0.221510 | + | 0.608593i | −0.0161984 | + | 0.0445047i | ||||
\(188\) | −3.64781 | − | 4.34730i | −0.266044 | − | 0.317059i | ||||
\(189\) | 3.88713 | 0.282747 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −2.04458 | −0.147940 | −0.0739702 | − | 0.997260i | \(-0.523567\pi\) | ||||
−0.0739702 | + | 0.997260i | \(0.523567\pi\) | |||||||
\(192\) | 0.984808 | + | 1.17365i | 0.0710724 | + | 0.0847008i | ||||
\(193\) | 4.89274 | − | 13.4427i | 0.352187 | − | 0.967626i | −0.629479 | − | 0.777017i | \(-0.716732\pi\) |
0.981666 | − | 0.190608i | \(-0.0610461\pi\) | |||||||
\(194\) | −1.08260 | + | 6.13971i | −0.0777259 | + | 0.440805i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.12449 | − | 2.22913i | 0.437463 | − | 0.159224i | ||||
\(197\) | 12.0992 | + | 6.98545i | 0.862029 | + | 0.497693i | 0.864691 | − | 0.502304i | \(-0.167514\pi\) |
−0.00266202 | + | 0.999996i | \(0.500847\pi\) | |||||||
\(198\) | 1.19869 | − | 0.692066i | 0.0851875 | − | 0.0491830i | ||||
\(199\) | −14.4311 | − | 12.1091i | −1.02299 | − | 0.858392i | −0.0329912 | − | 0.999456i | \(-0.510503\pi\) |
−0.990001 | + | 0.141064i | \(0.954948\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −9.71941 | − | 16.8345i | −0.685554 | − | 1.18741i | ||||
\(202\) | −12.4444 | − | 7.18479i | −0.875587 | − | 0.505520i | ||||
\(203\) | −0.145108 | − | 0.398681i | −0.0101846 | − | 0.0279819i | ||||
\(204\) | −0.0812519 | − | 0.460802i | −0.00568877 | − | 0.0322626i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −18.4192 | − | 6.70405i | −1.28333 | − | 0.467093i | ||||
\(207\) | −0.392624 | − | 0.467911i | −0.0272893 | − | 0.0325221i | ||||
\(208\) | 1.06418i | 0.0737875i | ||||||||
\(209\) | 1.73695 | + | 9.07888i | 0.120147 | + | 0.628000i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.211667 | + | 0.177610i | −0.0145717 | + | 0.0122271i | −0.650044 | − | 0.759896i | \(-0.725250\pi\) |
0.635473 | + | 0.772123i | \(0.280805\pi\) | |||||||
\(212\) | 0.921605 | − | 2.53209i | 0.0632961 | − | 0.173905i | ||||
\(213\) | −18.4258 | − | 3.24897i | −1.26252 | − | 0.222616i | ||||
\(214\) | −0.358441 | − | 2.03282i | −0.0245025 | − | 0.138961i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.79813 | + | 4.84651i | −0.190389 | + | 0.329763i | ||||
\(217\) | 1.69810 | − | 0.980400i | 0.115275 | − | 0.0665539i | ||||
\(218\) | −5.85499 | + | 6.97771i | −0.396550 | + | 0.472590i | ||||
\(219\) | −8.14930 | − | 6.83807i | −0.550679 | − | 0.462074i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.162504 | − | 0.281465i | 0.0109312 | − | 0.0189334i | ||||
\(222\) | 2.09602 | + | 5.75877i | 0.140676 | + | 0.386503i | ||||
\(223\) | 6.80180 | − | 1.19934i | 0.455482 | − | 0.0803138i | 0.0587999 | − | 0.998270i | \(-0.481273\pi\) |
0.396682 | + | 0.917956i | \(0.370162\pi\) | |||||||
\(224\) | 0.120615 | − | 0.684040i | 0.00805891 | − | 0.0457044i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.50387 | − | 4.61830i | 0.366112 | − | 0.307204i | ||||
\(227\) | − | 2.30272i | − | 0.152837i | −0.997076 | − | 0.0764184i | \(-0.975652\pi\) | ||
0.997076 | − | 0.0764184i | \(-0.0243485\pi\) | |||||||
\(228\) | −4.36640 | − | 5.05303i | −0.289172 | − | 0.334645i | ||||
\(229\) | 22.2121 | 1.46782 | 0.733910 | − | 0.679247i | \(-0.237694\pi\) | ||||
0.733910 | + | 0.679247i | \(0.237694\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.12061 | + | 0.771841i | 0.139526 | + | 0.0507834i | ||||
\(232\) | 0.601535 | + | 0.106067i | 0.0394927 | + | 0.00696363i | ||||
\(233\) | −17.6450 | + | 3.11128i | −1.15596 | + | 0.203827i | −0.718576 | − | 0.695448i | \(-0.755206\pi\) |
−0.437383 | + | 0.899275i | \(0.644095\pi\) | |||||||
\(234\) | −0.652704 | + | 0.237565i | −0.0426686 | + | 0.0155301i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −4.93969 | − | 8.55580i | −0.321547 | − | 0.556935i | ||||
\(237\) | 2.41609 | − | 2.87939i | 0.156942 | − | 0.187036i | ||||
\(238\) | −0.136357 | + | 0.162504i | −0.00883870 | + | 0.0105336i | ||||
\(239\) | −3.46791 | − | 6.00660i | −0.224321 | − | 0.388535i | 0.731795 | − | 0.681525i | \(-0.238683\pi\) |
−0.956115 | + | 0.292990i | \(0.905350\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.7160 | − | 6.08413i | 1.07677 | − | 0.391913i | 0.258067 | − | 0.966127i | \(-0.416914\pi\) |
0.818705 | + | 0.574214i | \(0.194692\pi\) | |||||||
\(242\) | −6.40420 | + | 1.12923i | −0.411677 | + | 0.0725898i | ||||
\(243\) | −6.55163 | − | 1.15523i | −0.420288 | − | 0.0741080i | ||||
\(244\) | −6.29086 | − | 2.28969i | −0.402731 | − | 0.146582i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 12.0496 | 0.768256 | ||||||||
\(247\) | −0.0672590 | − | 4.63816i | −0.00427959 | − | 0.295119i | ||||
\(248\) | 2.82295i | 0.179257i | ||||||||
\(249\) | −20.4008 | + | 17.1183i | −1.29285 | + | 1.08483i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.89915 | + | 16.4419i | −0.182993 | + | 1.03780i | 0.745515 | + | 0.666489i | \(0.232204\pi\) |
−0.928508 | + | 0.371314i | \(0.878907\pi\) | |||||||
\(252\) | 0.446476 | − | 0.0787257i | 0.0281253 | − | 0.00495925i | ||||
\(253\) | −0.678745 | − | 1.86484i | −0.0426723 | − | 0.117241i | ||||
\(254\) | −0.815207 | + | 1.41198i | −0.0511507 | + | 0.0885956i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −16.7856 | + | 20.0043i | −1.04706 | + | 1.24784i | −0.0790632 | + | 0.996870i | \(0.525193\pi\) |
−0.967996 | + | 0.250967i | \(0.919252\pi\) | |||||||
\(258\) | 0.895599 | − | 0.517074i | 0.0557575 | − | 0.0321916i | ||||
\(259\) | 1.38919 | − | 2.40614i | 0.0863198 | − | 0.149510i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.0692302 | + | 0.392624i | 0.00428524 | + | 0.0243028i | ||||
\(262\) | 9.51368 | + | 1.67752i | 0.587757 | + | 0.103637i | ||||
\(263\) | −4.27455 | + | 11.7442i | −0.263580 | + | 0.724180i | 0.735339 | + | 0.677699i | \(0.237023\pi\) |
−0.998919 | + | 0.0464807i | \(0.985199\pi\) | |||||||
\(264\) | −2.48886 | + | 2.08840i | −0.153178 | + | 0.128532i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.482459 | + | 2.98897i | −0.0295815 | + | 0.183266i | ||||
\(267\) | − | 24.5672i | − | 1.50349i | ||||||
\(268\) | −8.15555 | − | 9.71941i | −0.498180 | − | 0.593707i | ||||
\(269\) | 0.773318 | + | 0.281465i | 0.0471501 | + | 0.0171612i | 0.365488 | − | 0.930816i | \(-0.380902\pi\) |
−0.318337 | + | 0.947977i | \(0.603125\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.09833 | − | 11.9002i | −0.127464 | − | 0.722886i | −0.979814 | − | 0.199913i | \(-0.935934\pi\) |
0.852349 | − | 0.522973i | \(-0.175177\pi\) | |||||||
\(272\) | −0.104455 | − | 0.286989i | −0.00633354 | − | 0.0174013i | ||||
\(273\) | −0.980752 | − | 0.566237i | −0.0593578 | − | 0.0342702i | ||||
\(274\) | −5.76604 | − | 9.98708i | −0.348339 | − | 0.603342i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 1.09833 | + | 0.921605i | 0.0661115 | + | 0.0554741i | ||||
\(277\) | 9.75216 | − | 5.63041i | 0.585951 | − | 0.338299i | −0.177544 | − | 0.984113i | \(-0.556815\pi\) |
0.763495 | + | 0.645814i | \(0.223482\pi\) | |||||||
\(278\) | −5.92815 | − | 3.42262i | −0.355547 | − | 0.205275i | ||||
\(279\) | −1.73143 | + | 0.630189i | −0.103658 | + | 0.0377284i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.55185 | − | 25.8148i | 0.271541 | − | 1.53998i | −0.478199 | − | 0.878251i | \(-0.658710\pi\) |
0.749740 | − | 0.661732i | \(-0.230179\pi\) | |||||||
\(282\) | −2.97373 | + | 8.17024i | −0.177083 | + | 0.486531i | ||||
\(283\) | 16.5437 | + | 19.7160i | 0.983420 | + | 1.17199i | 0.985098 | + | 0.171996i | \(0.0550217\pi\) |
−0.00167722 | + | 0.999999i | \(0.500534\pi\) | |||||||
\(284\) | −12.2121 | −0.724657 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.25671 | −0.133442 | ||||||||
\(287\) | −3.51146 | − | 4.18479i | −0.207275 | − | 0.247020i | ||||
\(288\) | −0.223238 | + | 0.613341i | −0.0131544 | + | 0.0361415i | ||||
\(289\) | 2.93582 | − | 16.6499i | 0.172695 | − | 0.979404i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 8.97565 | − | 3.26687i | 0.526162 | − | 0.191507i | ||||
\(292\) | −6.01330 | − | 3.47178i | −0.351902 | − | 0.203171i | ||||
\(293\) | 22.9566 | − | 13.2540i | 1.34114 | − | 0.774308i | 0.354166 | − | 0.935182i | \(-0.384765\pi\) |
0.986975 | + | 0.160874i | \(0.0514313\pi\) | |||||||
\(294\) | −7.64930 | − | 6.41852i | −0.446116 | − | 0.374336i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.00000 | + | 3.46410i | 0.116248 | + | 0.201347i | ||||
\(297\) | −10.2776 | − | 5.93376i | −0.596366 | − | 0.344312i | ||||
\(298\) | 3.04628 | + | 8.36959i | 0.176466 | + | 0.484837i | ||||
\(299\) | 0.172933 | + | 0.980752i | 0.0100010 | + | 0.0567183i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.440570 | − | 0.160354i | −0.0253940 | − | 0.00924267i | ||||
\(302\) | 6.95686 | + | 8.29086i | 0.400322 | + | 0.477085i | ||||
\(303\) | 22.0155i | 1.26476i | ||||||||
\(304\) | −3.37939 | − | 2.75314i | −0.193821 | − | 0.157903i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.152704 | − | 0.128134i | 0.00872949 | − | 0.00732491i | ||||
\(307\) | −1.08926 | + | 2.99273i | −0.0621675 | + | 0.170804i | −0.966888 | − | 0.255203i | \(-0.917858\pi\) |
0.904720 | + | 0.426007i | \(0.140080\pi\) | |||||||
\(308\) | 1.45059 | + | 0.255777i | 0.0826548 | + | 0.0145743i | ||||
\(309\) | 5.21482 | + | 29.5747i | 0.296661 | + | 1.68245i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.411474 | + | 0.712694i | −0.0233326 | + | 0.0404132i | −0.877456 | − | 0.479657i | \(-0.840761\pi\) |
0.854123 | + | 0.520070i | \(0.174094\pi\) | |||||||
\(312\) | 1.41198 | − | 0.815207i | 0.0799377 | − | 0.0461520i | ||||
\(313\) | −14.0694 | + | 16.7672i | −0.795248 | + | 0.947740i | −0.999514 | − | 0.0311758i | \(-0.990075\pi\) |
0.204266 | + | 0.978915i | \(0.434519\pi\) | |||||||
\(314\) | −8.19253 | − | 6.87435i | −0.462331 | − | 0.387942i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.22668 | − | 2.12467i | 0.0690062 | − | 0.119522i | ||||
\(317\) | −4.52206 | − | 12.4243i | −0.253984 | − | 0.697816i | −0.999509 | − | 0.0313381i | \(-0.990023\pi\) |
0.745524 | − | 0.666478i | \(-0.232199\pi\) | |||||||
\(318\) | −4.06564 | + | 0.716881i | −0.227990 | + | 0.0402007i | ||||
\(319\) | −0.224927 | + | 1.27562i | −0.0125935 | + | 0.0714212i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.42262 | + | 2.03282i | −0.135217 | + | 0.113461i | ||||
\(322\) | − | 0.650015i | − | 0.0362239i | ||||||
\(323\) | 0.473401 | + | 1.24422i | 0.0263408 | + | 0.0692304i | ||||
\(324\) | 6.61587 | 0.367548 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −2.31908 | − | 0.844075i | −0.128442 | − | 0.0467490i | ||||
\(327\) | 13.7434 | + | 2.42333i | 0.760012 | + | 0.134011i | ||||
\(328\) | 7.74535 | − | 1.36571i | 0.427666 | − | 0.0754090i | ||||
\(329\) | 3.70409 | − | 1.34818i | 0.204213 | − | 0.0743275i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.819078 | − | 1.41868i | −0.0450206 | − | 0.0779780i | 0.842637 | − | 0.538482i | \(-0.181002\pi\) |
−0.887658 | + | 0.460504i | \(0.847669\pi\) | |||||||
\(332\) | −11.1732 | + | 13.3157i | −0.613208 | + | 0.730793i | ||||
\(333\) | −1.67820 | + | 2.00000i | −0.0919648 | + | 0.109599i | ||||
\(334\) | −6.08647 | − | 10.5421i | −0.333037 | − | 0.576836i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −1.00000 | + | 0.363970i | −0.0545545 | + | 0.0198562i | ||||
\(337\) | −30.8594 | + | 5.44134i | −1.68102 | + | 0.296409i | −0.931003 | − | 0.365012i | \(-0.881065\pi\) |
−0.750015 | + | 0.661421i | \(0.769954\pi\) | |||||||
\(338\) | −11.6872 | − | 2.06077i | −0.635702 | − | 0.112091i | ||||
\(339\) | −10.3439 | − | 3.76487i | −0.561803 | − | 0.204480i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.98639 | −0.324181 | ||||||||
\(342\) | 0.934204 | − | 2.68732i | 0.0505160 | − | 0.145314i | ||||
\(343\) | 9.38919i | 0.506968i | ||||||||
\(344\) | 0.517074 | − | 0.433877i | 0.0278788 | − | 0.0233931i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.44562 | + | 13.8698i | −0.131477 | + | 0.745646i | ||||
\(347\) | 25.0407 | − | 4.41534i | 1.34425 | − | 0.237028i | 0.545209 | − | 0.838300i | \(-0.316450\pi\) |
0.799044 | + | 0.601272i | \(0.205339\pi\) | |||||||
\(348\) | −0.320070 | − | 0.879385i | −0.0171576 | − | 0.0471400i | ||||
\(349\) | 16.0993 | − | 27.8847i | 0.861774 | − | 1.49264i | −0.00844186 | − | 0.999964i | \(-0.502687\pi\) |
0.870215 | − | 0.492671i | \(-0.163980\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.56212 | + | 3.82807i | 0.243508 | + | 0.204327i | ||||
\(352\) | −1.36310 | + | 1.62449i | −0.0726537 | + | 0.0865853i | ||||
\(353\) | 17.4510 | − | 10.0753i | 0.928821 | − | 0.536255i | 0.0423828 | − | 0.999101i | \(-0.486505\pi\) |
0.886439 | + | 0.462846i | \(0.153172\pi\) | |||||||
\(354\) | −7.56805 | + | 13.1082i | −0.402237 | + | 0.696695i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −2.78446 | − | 15.7915i | −0.147576 | − | 0.836946i | ||||
\(357\) | 0.320070 | + | 0.0564370i | 0.0169399 | + | 0.00298696i | ||||
\(358\) | 3.21891 | − | 8.84389i | 0.170125 | − | 0.467414i | ||||
\(359\) | −2.60813 | + | 2.18848i | −0.137652 | + | 0.115503i | −0.709014 | − | 0.705195i | \(-0.750860\pi\) |
0.571362 | + | 0.820698i | \(0.306415\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.9029 | + | 11.7858i | 0.784361 | + | 0.620305i | ||||
\(362\) | 24.4688i | 1.28605i | ||||||||
\(363\) | 6.40420 | + | 7.63223i | 0.336133 | + | 0.400588i | ||||
\(364\) | −0.694593 | − | 0.252811i | −0.0364066 | − | 0.0132509i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.78106 | + | 10.1009i | 0.0930975 | + | 0.527982i | ||||
\(367\) | 2.69756 | + | 7.41147i | 0.140811 | + | 0.386876i | 0.989973 | − | 0.141257i | \(-0.0451145\pi\) |
−0.849162 | + | 0.528133i | \(0.822892\pi\) | |||||||
\(368\) | 0.810446 | + | 0.467911i | 0.0422474 | + | 0.0243916i | ||||
\(369\) | 2.56670 | + | 4.44566i | 0.133617 | + | 0.231432i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.43376 | + | 1.20307i | 0.0744373 | + | 0.0624603i | ||||
\(372\) | 3.74557 | − | 2.16250i | 0.194199 | − | 0.112121i | ||||
\(373\) | −21.1772 | − | 12.2267i | −1.09652 | − | 0.633074i | −0.161212 | − | 0.986920i | \(-0.551540\pi\) |
−0.935304 | + | 0.353846i | \(0.884874\pi\) | |||||||
\(374\) | 0.608593 | − | 0.221510i | 0.0314696 | − | 0.0114540i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.985452 | + | 5.58878i | −0.0508208 | + | 0.288219i | ||||
\(377\) | 0.222318 | − | 0.610815i | 0.0114500 | − | 0.0314586i | ||||
\(378\) | −2.49860 | − | 2.97771i | −0.128514 | − | 0.153157i | ||||
\(379\) | 33.8135 | 1.73688 | 0.868440 | − | 0.495794i | \(-0.165123\pi\) | ||||
0.868440 | + | 0.495794i | \(0.165123\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.49794 | 0.127973 | ||||||||
\(382\) | 1.31423 | + | 1.56624i | 0.0672418 | + | 0.0801357i | ||||
\(383\) | 10.6012 | − | 29.1266i | 0.541697 | − | 1.48830i | −0.302966 | − | 0.953001i | \(-0.597977\pi\) |
0.844663 | − | 0.535298i | \(-0.179801\pi\) | |||||||
\(384\) | 0.266044 | − | 1.50881i | 0.0135765 | − | 0.0769963i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −13.4427 | + | 4.89274i | −0.684215 | + | 0.249034i | ||||
\(387\) | 0.381545 | + | 0.220285i | 0.0193950 | + | 0.0111977i | ||||
\(388\) | 5.39917 | − | 3.11721i | 0.274101 | − | 0.158252i | ||||
\(389\) | 25.2080 | + | 21.1520i | 1.27810 | + | 1.07245i | 0.993503 | + | 0.113803i | \(0.0363031\pi\) |
0.284594 | + | 0.958648i | \(0.408141\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.142903 | − | 0.247516i | −0.00722694 | − | 0.0125174i | ||||
\(392\) | −5.64436 | − | 3.25877i | −0.285083 | − | 0.164593i | ||||
\(393\) | −5.06212 | − | 13.9081i | −0.255350 | − | 0.701569i | ||||
\(394\) | −2.42602 | − | 13.7587i | −0.122221 | − | 0.693151i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.30066 | − | 0.473401i | −0.0653606 | − | 0.0237893i | ||||
\(397\) | −7.47589 | − | 8.90941i | −0.375204 | − | 0.447151i | 0.545090 | − | 0.838377i | \(-0.316495\pi\) |
−0.920294 | + | 0.391227i | \(0.872051\pi\) | |||||||
\(398\) | 18.8384i | 0.944285i | ||||||||
\(399\) | 4.33544 | − | 1.64955i | 0.217043 | − | 0.0825806i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −10.3191 | + | 8.65873i | −0.515310 | + | 0.432397i | −0.862993 | − | 0.505216i | \(-0.831413\pi\) |
0.347683 | + | 0.937612i | \(0.386969\pi\) | |||||||
\(402\) | −6.64847 | + | 18.2665i | −0.331595 | + | 0.911051i | ||||
\(403\) | 2.95848 | + | 0.521660i | 0.147372 | + | 0.0259857i | ||||
\(404\) | 2.49525 | + | 14.1513i | 0.124143 | + | 0.704052i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.212134 | + | 0.367426i | −0.0105280 | + | 0.0182351i | ||||
\(407\) | −7.34603 | + | 4.24123i | −0.364129 | + | 0.210230i | ||||
\(408\) | −0.300767 | + | 0.358441i | −0.0148902 | + | 0.0177455i | ||||
\(409\) | −11.0018 | − | 9.23162i | −0.544005 | − | 0.456474i | 0.328900 | − | 0.944365i | \(-0.393322\pi\) |
−0.872905 | + | 0.487891i | \(0.837766\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −8.83409 | + | 15.3011i | −0.435754 | + | 0.754747i | ||||
\(412\) | 6.70405 | + | 18.4192i | 0.330285 | + | 0.907450i | ||||
\(413\) | 6.75790 | − | 1.19160i | 0.332534 | − | 0.0586348i | ||||
\(414\) | −0.106067 | + | 0.601535i | −0.00521290 | + | 0.0295638i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.815207 | − | 0.684040i | 0.0399688 | − | 0.0335378i | ||||
\(417\) | 10.4875i | 0.513576i | ||||||||
\(418\) | 5.83834 | − | 7.16637i | 0.285563 | − | 0.350519i | ||||
\(419\) | 32.2763 | 1.57680 | 0.788400 | − | 0.615162i | \(-0.210910\pi\) | ||||
0.788400 | + | 0.615162i | \(0.210910\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.3969 | + | 4.51211i | 0.604189 | + | 0.219907i | 0.625959 | − | 0.779856i | \(-0.284708\pi\) |
−0.0217696 | + | 0.999763i | \(0.506930\pi\) | |||||||
\(422\) | 0.272114 | + | 0.0479810i | 0.0132463 | + | 0.00233568i | ||||
\(423\) | −3.64781 | + | 0.643208i | −0.177363 | + | 0.0312739i | ||||
\(424\) | −2.53209 | + | 0.921605i | −0.122969 | + | 0.0447571i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 9.35504 | + | 16.2034i | 0.453253 | + | 0.785057i | ||||
\(427\) | 2.98897 | − | 3.56212i | 0.144647 | − | 0.172383i | ||||
\(428\) | −1.32683 | + | 1.58125i | −0.0641346 | + | 0.0764327i | ||||
\(429\) | 1.72874 | + | 2.99427i | 0.0834644 | + | 0.144565i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −4.49020 | + | 1.63430i | −0.216285 | + | 0.0787214i | −0.447890 | − | 0.894088i | \(-0.647825\pi\) |
0.231605 | + | 0.972810i | \(0.425602\pi\) | |||||||
\(432\) | 5.51125 | − | 0.971782i | 0.265160 | − | 0.0467549i | ||||
\(433\) | 27.6437 | + | 4.87433i | 1.32847 | + | 0.234245i | 0.792439 | − | 0.609951i | \(-0.208811\pi\) |
0.536033 | + | 0.844197i | \(0.319922\pi\) | |||||||
\(434\) | −1.84255 | − | 0.670633i | −0.0884452 | − | 0.0321914i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.10876 | 0.436230 | ||||||||
\(437\) | −3.56185 | − | 1.98814i | −0.170387 | − | 0.0951057i | ||||
\(438\) | 10.6382i | 0.508311i | ||||||||
\(439\) | −17.8726 | + | 14.9969i | −0.853012 | + | 0.715762i | −0.960451 | − | 0.278450i | \(-0.910179\pi\) |
0.107439 | + | 0.994212i | \(0.465735\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.738703 | − | 4.18939i | 0.0351763 | − | 0.199495i | ||||
\(442\) | −0.320070 | + | 0.0564370i | −0.0152242 | + | 0.00268443i | ||||
\(443\) | −5.11333 | − | 14.0488i | −0.242942 | − | 0.667476i | −0.999902 | − | 0.0140154i | \(-0.995539\pi\) |
0.756960 | − | 0.653461i | \(-0.226684\pi\) | |||||||
\(444\) | 3.06418 | − | 5.30731i | 0.145419 | − | 0.251874i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −5.29086 | − | 4.43956i | −0.250529 | − | 0.210219i | ||||
\(447\) | 8.77141 | − | 10.4534i | 0.414874 | − | 0.494427i | ||||
\(448\) | −0.601535 | + | 0.347296i | −0.0284199 | + | 0.0164082i | ||||
\(449\) | −4.41194 | + | 7.64171i | −0.208212 | + | 0.360634i | −0.951151 | − | 0.308725i | \(-0.900098\pi\) |
0.742939 | + | 0.669359i | \(0.233431\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.89615 | + | 16.4249i | 0.136375 | + | 0.773419i | ||||
\(452\) | −7.07564 | − | 1.24763i | −0.332810 | − | 0.0586834i | ||||
\(453\) | 5.67128 | − | 15.5817i | 0.266460 | − | 0.732093i | ||||
\(454\) | −1.76399 | + | 1.48016i | −0.0827879 | + | 0.0694673i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.06418 | + | 6.59289i | −0.0498347 | + | 0.308740i | ||||
\(457\) | − | 19.4561i | − | 0.910116i | −0.890462 | − | 0.455058i | \(-0.849619\pi\) | ||
0.890462 | − | 0.455058i | \(-0.150381\pi\) | |||||||
\(458\) | −14.2777 | − | 17.0155i | −0.667152 | − | 0.795081i | ||||
\(459\) | −1.60607 | − | 0.584561i | −0.0749648 | − | 0.0272849i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 4.56624 | + | 25.8964i | 0.212671 | + | 1.20612i | 0.884903 | + | 0.465776i | \(0.154225\pi\) |
−0.672232 | + | 0.740341i | \(0.734664\pi\) | |||||||
\(462\) | −0.771841 | − | 2.12061i | −0.0359093 | − | 0.0986599i | ||||
\(463\) | 29.6168 | + | 17.0993i | 1.37641 | + | 0.794670i | 0.991725 | − | 0.128379i | \(-0.0409772\pi\) |
0.384684 | + | 0.923049i | \(0.374311\pi\) | |||||||
\(464\) | −0.305407 | − | 0.528981i | −0.0141782 | − | 0.0245573i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 13.7253 | + | 11.5169i | 0.635814 | + | 0.533511i | ||||
\(467\) | 0.00589515 | − | 0.00340357i | 0.000272795 | − | 0.000157498i | −0.499864 | − | 0.866104i | \(-0.666617\pi\) |
0.500136 | + | 0.865947i | \(0.333283\pi\) | |||||||
\(468\) | 0.601535 | + | 0.347296i | 0.0278060 | + | 0.0160538i | ||||
\(469\) | 8.28136 | − | 3.01417i | 0.382398 | − | 0.139181i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −2.84524 | + | 16.1361i | −0.131102 | + | 0.743514i | ||||
\(472\) | −3.37895 | + | 9.28359i | −0.155529 | + | 0.427312i | ||||
\(473\) | 0.920085 | + | 1.09652i | 0.0423056 | + | 0.0504178i | ||||
\(474\) | −3.75877 | −0.172646 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0.212134 | 0.00972313 | ||||||||
\(477\) | −1.13052 | − | 1.34730i | −0.0517628 | − | 0.0616885i | ||||
\(478\) | −2.37219 | + | 6.51754i | −0.108501 | + | 0.298105i | ||||
\(479\) | −3.14290 | + | 17.8243i | −0.143603 | + | 0.814413i | 0.824875 | + | 0.565315i | \(0.191245\pi\) |
−0.968478 | + | 0.249098i | \(0.919866\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.00000 | − | 1.45588i | 0.182384 | − | 0.0663825i | ||||
\(482\) | −15.4056 | − | 8.89440i | −0.701704 | − | 0.405129i | ||||
\(483\) | −0.862458 | + | 0.497941i | −0.0392432 | + | 0.0226571i | ||||
\(484\) | 4.98158 | + | 4.18004i | 0.226436 | + | 0.190002i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 3.32635 | + | 5.76141i | 0.150886 | + | 0.261343i | ||||
\(487\) | 0.640140 | + | 0.369585i | 0.0290075 | + | 0.0167475i | 0.514434 | − | 0.857530i | \(-0.328002\pi\) |
−0.485426 | + | 0.874278i | \(0.661336\pi\) | |||||||
\(488\) | 2.28969 | + | 6.29086i | 0.103649 | + | 0.284774i | ||||
\(489\) | 0.656574 | + | 3.72362i | 0.0296913 | + | 0.168388i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 11.6566 | + | 4.24265i | 0.526054 | + | 0.191468i | 0.591375 | − | 0.806396i | \(-0.298585\pi\) |
−0.0653217 | + | 0.997864i | \(0.520807\pi\) | |||||||
\(492\) | −7.74535 | − | 9.23055i | −0.349187 | − | 0.416145i | ||||
\(493\) | 0.186547i | 0.00840166i | ||||||||
\(494\) | −3.50980 | + | 3.03287i | −0.157913 | + | 0.136455i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.16250 | − | 1.81456i | 0.0970993 | − | 0.0814760i | ||||
\(497\) | 2.90117 | − | 7.97090i | 0.130135 | − | 0.357544i | ||||
\(498\) | 26.2268 | + | 4.62449i | 1.17525 | + | 0.207228i | ||||
\(499\) | 2.60947 | + | 14.7990i | 0.116816 | + | 0.662496i | 0.985835 | + | 0.167718i | \(0.0536397\pi\) |
−0.869019 | + | 0.494778i | \(0.835249\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.32501 | + | 16.1514i | −0.416611 | + | 0.721591i | ||||
\(502\) | 14.4587 | − | 8.34776i | 0.645326 | − | 0.372579i | ||||
\(503\) | 0.456427 | − | 0.543948i | 0.0203511 | − | 0.0242535i | −0.755773 | − | 0.654834i | \(-0.772739\pi\) |
0.776124 | + | 0.630580i | \(0.217183\pi\) | |||||||
\(504\) | −0.347296 | − | 0.291416i | −0.0154698 | − | 0.0129807i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −0.992259 | + | 1.71864i | −0.0441113 | + | 0.0764030i | ||||
\(507\) | 6.21865 | + | 17.0856i | 0.276180 | + | 0.758798i | ||||
\(508\) | 1.60565 | − | 0.283119i | 0.0712390 | − | 0.0125614i | ||||
\(509\) | −5.24628 | + | 29.7531i | −0.232537 | + | 1.31878i | 0.615201 | + | 0.788370i | \(0.289075\pi\) |
−0.847738 | + | 0.530415i | \(0.822036\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.69459 | − | 3.10013i | 0.163439 | − | 0.137142i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −23.9590 | + | 4.58378i | −1.05782 | + | 0.202379i | ||||
\(514\) | 26.1138 | 1.15183 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −0.971782 | − | 0.353700i | −0.0427803 | − | 0.0155708i | ||||
\(517\) | −11.8516 | − | 2.08976i | −0.521235 | − | 0.0919077i | ||||
\(518\) | −2.73616 | + | 0.482459i | −0.120220 | + | 0.0211980i | ||||
\(519\) | 20.2763 | − | 7.37997i | 0.890031 | − | 0.323945i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 10.2390 | + | 17.7345i | 0.448579 | + | 0.776962i | 0.998294 | − | 0.0583907i | \(-0.0185969\pi\) |
−0.549715 | + | 0.835352i | \(0.685264\pi\) | |||||||
\(522\) | 0.256267 | − | 0.305407i | 0.0112165 | − | 0.0133673i | ||||
\(523\) | −10.0318 | + | 11.9554i | −0.438660 | + | 0.522774i | −0.939400 | − | 0.342823i | \(-0.888617\pi\) |
0.500740 | + | 0.865598i | \(0.333061\pi\) | |||||||
\(524\) | −4.83022 | − | 8.36619i | −0.211009 | − | 0.365479i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 11.7442 | − | 4.27455i | 0.512072 | − | 0.186379i | ||||
\(527\) | −0.849051 | + | 0.149711i | −0.0369852 | + | 0.00652150i | ||||
\(528\) | 3.19961 | + | 0.564178i | 0.139245 | + | 0.0245527i | ||||
\(529\) | −20.7900 | − | 7.56693i | −0.903912 | − | 0.328997i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.44831 | −0.279833 | ||||||||
\(532\) | 2.59980 | − | 1.55169i | 0.112716 | − | 0.0672743i | ||||
\(533\) | − | 8.36959i | − | 0.362527i | ||||||
\(534\) | −18.8195 | + | 15.7915i | −0.814401 | + | 0.683364i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −2.20321 | + | 12.4950i | −0.0951642 | + | 0.539703i | ||||
\(537\) | −14.2002 | + | 2.50387i | −0.612782 | + | 0.108050i | ||||
\(538\) | −0.281465 | − | 0.773318i | −0.0121348 | − | 0.0333401i | ||||
\(539\) | 6.91060 | − | 11.9695i | 0.297660 | − | 0.515563i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.91353 | + | 1.60565i | 0.0822692 | + | 0.0690321i | 0.682995 | − | 0.730423i | \(-0.260677\pi\) |
−0.600726 | + | 0.799455i | \(0.705122\pi\) | |||||||
\(542\) | −7.76730 | + | 9.25671i | −0.333634 | + | 0.397610i | ||||
\(543\) | 32.4659 | − | 18.7442i | 1.39325 | − | 0.804392i | ||||
\(544\) | −0.152704 | + | 0.264490i | −0.00654711 | + | 0.0113399i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.196652 | + | 1.11527i | 0.00841593 | + | 0.0477291i | ||||
\(547\) | 3.56591 | + | 0.628766i | 0.152467 | + | 0.0268841i | 0.249361 | − | 0.968411i | \(-0.419780\pi\) |
−0.0968935 | + | 0.995295i | \(0.530891\pi\) | |||||||
\(548\) | −3.94421 | + | 10.8366i | −0.168488 | + | 0.462917i | ||||
\(549\) | −3.34730 | + | 2.80872i | −0.142859 | + | 0.119873i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.36453 | + | 2.28623i | 0.0581310 | + | 0.0973967i | ||||
\(552\) | − | 1.43376i | − | 0.0610250i | ||||||
\(553\) | 1.09537 | + | 1.30541i | 0.0465797 | + | 0.0555116i | ||||
\(554\) | −10.5817 | − | 3.85143i | −0.449574 | − | 0.163632i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.18866 | + | 6.74124i | 0.0504105 | + | 0.285892i | ||||
\(557\) | −3.79758 | − | 10.4338i | −0.160909 | − | 0.442093i | 0.832870 | − | 0.553469i | \(-0.186696\pi\) |
−0.993778 | + | 0.111376i | \(0.964474\pi\) | |||||||
\(558\) | 1.59569 | + | 0.921274i | 0.0675511 | + | 0.0390007i | ||||
\(559\) | −0.359156 | − | 0.622076i | −0.0151907 | − | 0.0263110i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.760115 | − | 0.637812i | −0.0320921 | − | 0.0269284i | ||||
\(562\) | −22.7012 | + | 13.1065i | −0.957592 | + | 0.552866i | ||||
\(563\) | −10.9532 | − | 6.32383i | −0.461622 | − | 0.266517i | 0.251104 | − | 0.967960i | \(-0.419206\pi\) |
−0.712726 | + | 0.701443i | \(0.752540\pi\) | |||||||
\(564\) | 8.17024 | − | 2.97373i | 0.344029 | − | 0.125216i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 4.46926 | − | 25.3464i | 0.187857 | − | 1.06539i | ||||
\(567\) | −1.57170 | + | 4.31820i | −0.0660050 | + | 0.181347i | ||||
\(568\) | 7.84981 | + | 9.35504i | 0.329371 | + | 0.392529i | ||||
\(569\) | 0.704088 | 0.0295169 | 0.0147585 | − | 0.999891i | \(-0.495302\pi\) | ||||
0.0147585 | + | 0.999891i | \(0.495302\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.3396 | 0.432697 | 0.216348 | − | 0.976316i | \(-0.430585\pi\) | ||||
0.216348 | + | 0.976316i | \(0.430585\pi\) | |||||||
\(572\) | 1.45059 | + | 1.72874i | 0.0606520 | + | 0.0722823i | ||||
\(573\) | 1.07137 | − | 2.94356i | 0.0447571 | − | 0.122969i | ||||
\(574\) | −0.948615 | + | 5.37987i | −0.0395944 | + | 0.224551i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.613341 | − | 0.223238i | 0.0255559 | − | 0.00930157i | ||||
\(577\) | 1.33272 | + | 0.769448i | 0.0554820 | + | 0.0320325i | 0.527484 | − | 0.849565i | \(-0.323135\pi\) |
−0.472002 | + | 0.881597i | \(0.656469\pi\) | |||||||
\(578\) | −14.6417 | + | 8.45336i | −0.609013 | + | 0.351614i | ||||
\(579\) | 16.7895 | + | 14.0881i | 0.697748 | + | 0.585480i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.03684 | − | 10.4561i | −0.250450 | − | 0.433792i | ||||
\(582\) | −8.27201 | − | 4.77584i | −0.342886 | − | 0.197965i | ||||
\(583\) | −1.95437 | − | 5.36959i | −0.0809417 | − | 0.222385i | ||||
\(584\) | 1.20574 | + | 6.83807i | 0.0498938 | + | 0.282962i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −24.9094 | − | 9.06629i | −1.02900 | − | 0.374525i | ||||
\(587\) | 4.42350 | + | 5.27173i | 0.182578 | + | 0.217587i | 0.849568 | − | 0.527478i | \(-0.176862\pi\) |
−0.666991 | + | 0.745066i | \(0.732418\pi\) | |||||||
\(588\) | 9.98545i | 0.411793i | ||||||||
\(589\) | −9.31046 | + | 8.04531i | −0.383631 | + | 0.331501i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −16.3969 | + | 13.7587i | −0.674479 | + | 0.565955i | ||||
\(592\) | 1.36808 | − | 3.75877i | 0.0562278 | − | 0.154485i | ||||
\(593\) | −4.10191 | − | 0.723278i | −0.168445 | − | 0.0297015i | 0.0887893 | − | 0.996050i | \(-0.471700\pi\) |
−0.257235 | + | 0.966349i | \(0.582811\pi\) | |||||||
\(594\) | 2.06077 | + | 11.6872i | 0.0845546 | + | 0.479533i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.45336 | − | 7.71345i | 0.182417 | − | 0.315955i | ||||
\(597\) | 24.9954 | − | 14.4311i | 1.02299 | − | 0.590625i | ||||
\(598\) | 0.640140 | − | 0.762889i | 0.0261773 | − | 0.0311969i | ||||
\(599\) | −35.1070 | − | 29.4583i | −1.43443 | − | 1.20363i | −0.943033 | − | 0.332698i | \(-0.892041\pi\) |
−0.491400 | − | 0.870934i | \(-0.663515\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.05257 | − | 1.82310i | 0.0429351 | − | 0.0743658i | −0.843759 | − | 0.536722i | \(-0.819662\pi\) |
0.886694 | + | 0.462356i | \(0.152996\pi\) | |||||||
\(602\) | 0.160354 | + | 0.440570i | 0.00653556 | + | 0.0179563i | ||||
\(603\) | −8.15555 | + | 1.43804i | −0.332120 | + | 0.0585617i | ||||
\(604\) | 1.87939 | − | 10.6585i | 0.0764711 | − | 0.433689i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 16.8648 | − | 14.1513i | 0.685087 | − | 0.574856i | ||||
\(607\) | 26.7648i | 1.08635i | 0.839620 | + | 0.543174i | \(0.182778\pi\) | ||||
−0.839620 | + | 0.543174i | \(0.817222\pi\) | |||||||
\(608\) | 0.0632028 | + | 4.35844i | 0.00256321 | + | 0.176758i | ||||
\(609\) | 0.650015 | 0.0263399 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.67499 | + | 2.06553i | 0.229586 | + | 0.0835623i | ||||
\(612\) | −0.196312 | − | 0.0346151i | −0.00793544 | − | 0.00139923i | ||||
\(613\) | −39.3251 | + | 6.93407i | −1.58832 | + | 0.280064i | −0.896849 | − | 0.442336i | \(-0.854150\pi\) |
−0.691475 | + | 0.722401i | \(0.743039\pi\) | |||||||
\(614\) | 2.99273 | − | 1.08926i | 0.120777 | − | 0.0439591i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.736482 | − | 1.27562i | −0.0296737 | − | 0.0513963i | ||||
\(617\) | −25.3052 | + | 30.1575i | −1.01875 | + | 1.21410i | −0.0421294 | + | 0.999112i | \(0.513414\pi\) |
−0.976618 | + | 0.214983i | \(0.931030\pi\) | |||||||
\(618\) | 19.3035 | − | 23.0051i | 0.776502 | − | 0.925399i | ||||
\(619\) | −14.5273 | − | 25.1621i | −0.583903 | − | 1.01135i | −0.995011 | − | 0.0997633i | \(-0.968191\pi\) |
0.411108 | − | 0.911587i | \(-0.365142\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.92127 | − | 1.79120i | 0.197484 | − | 0.0718783i | ||||
\(622\) | 0.810446 | − | 0.142903i | 0.0324959 | − | 0.00572991i | ||||
\(623\) | 10.9686 | + | 1.93407i | 0.439449 | + | 0.0774868i | ||||
\(624\) | −1.53209 | − | 0.557635i | −0.0613326 | − | 0.0223233i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 21.8881 | 0.874823 | ||||||||
\(627\) | −13.9810 | − | 2.25671i | −0.558346 | − | 0.0901244i | ||||
\(628\) | 10.6946i | 0.426761i | ||||||||
\(629\) | −0.935822 | + | 0.785248i | −0.0373137 | + | 0.0313099i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.72369 | − | 32.4607i | 0.227856 | − | 1.29224i | −0.629292 | − | 0.777169i | \(-0.716655\pi\) |
0.857149 | − | 0.515069i | \(-0.172234\pi\) | |||||||
\(632\) | −2.41609 | + | 0.426022i | −0.0961069 | + | 0.0169462i | ||||
\(633\) | −0.144789 | − | 0.397804i | −0.00575483 | − | 0.0158113i | ||||
\(634\) | −6.61081 | + | 11.4503i | −0.262549 | + | 0.454748i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 3.16250 | + | 2.65366i | 0.125401 | + | 0.105224i | ||||
\(637\) | −4.45826 | + | 5.31315i | −0.176643 | + | 0.210515i | ||||
\(638\) | 1.12176 | − | 0.647651i | 0.0444111 | − | 0.0256408i | ||||
\(639\) | −3.98545 | + | 6.90301i | −0.157662 | + | 0.273079i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.77214 | + | 21.3928i | 0.148990 | + | 0.844967i | 0.964076 | + | 0.265626i | \(0.0855787\pi\) |
−0.815086 | + | 0.579340i | \(0.803310\pi\) | |||||||
\(642\) | 3.11446 | + | 0.549163i | 0.122918 | + | 0.0216737i | ||||
\(643\) | 14.4278 | − | 39.6400i | 0.568976 | − | 1.56325i | −0.237131 | − | 0.971478i | \(-0.576207\pi\) |
0.806107 | − | 0.591770i | \(-0.201571\pi\) | |||||||
\(644\) | −0.497941 | + | 0.417822i | −0.0196216 | + | 0.0164645i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.648833 | − | 1.16242i | 0.0255280 | − | 0.0457347i | ||||
\(647\) | − | 45.2526i | − | 1.77906i | −0.456874 | − | 0.889531i | \(-0.651031\pi\) | ||
0.456874 | − | 0.889531i | \(-0.348969\pi\) | |||||||
\(648\) | −4.25260 | − | 5.06805i | −0.167058 | − | 0.199092i | ||||
\(649\) | −19.6869 | − | 7.16545i | −0.772779 | − | 0.281268i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.521660 | + | 2.95848i | 0.0204455 | + | 0.115952i | ||||
\(652\) | 0.844075 | + | 2.31908i | 0.0330565 | + | 0.0908221i | ||||
\(653\) | −8.60986 | − | 4.97090i | −0.336930 | − | 0.194527i | 0.321984 | − | 0.946745i | \(-0.395650\pi\) |
−0.658914 | + | 0.752219i | \(0.728984\pi\) | |||||||
\(654\) | −6.97771 | − | 12.0858i | −0.272850 | − | 0.472590i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −6.02481 | − | 5.05542i | −0.235230 | − | 0.197381i | ||||
\(657\) | −3.92490 | + | 2.26604i | −0.153125 | + | 0.0884068i | ||||
\(658\) | −3.41371 | − | 1.97090i | −0.133080 | − | 0.0768338i | ||||
\(659\) | 20.4136 | − | 7.42994i | 0.795201 | − | 0.289429i | 0.0877044 | − | 0.996147i | \(-0.472047\pi\) |
0.707496 | + | 0.706717i | \(0.249825\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.99319 | − | 28.3178i | 0.194213 | − | 1.10143i | −0.719323 | − | 0.694676i | \(-0.755548\pi\) |
0.913536 | − | 0.406759i | \(-0.133341\pi\) | |||||||
\(662\) | −0.560282 | + | 1.53936i | −0.0217760 | + | 0.0598290i | ||||
\(663\) | 0.320070 | + | 0.381445i | 0.0124305 | + | 0.0148141i | ||||
\(664\) | 17.3824 | 0.674567 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.61081 | 0.101167 | ||||||||
\(667\) | −0.367426 | − | 0.437882i | −0.0142268 | − | 0.0169548i | ||||
\(668\) | −4.16339 | + | 11.4388i | −0.161086 | + | 0.442581i | ||||
\(669\) | −1.83750 | + | 10.4210i | −0.0710417 | + | 0.402898i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −13.3405 | + | 4.85554i | −0.515004 | + | 0.187446i | ||||
\(672\) | 0.921605 | + | 0.532089i | 0.0355517 | + | 0.0205258i | ||||
\(673\) | −30.9732 | + | 17.8824i | −1.19393 | + | 0.689315i | −0.959195 | − | 0.282745i | \(-0.908755\pi\) |
−0.234733 | + | 0.972060i | \(0.575422\pi\) | |||||||
\(674\) | 24.0043 | + | 20.1420i | 0.924613 | + | 0.775842i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.93376 | + | 10.2776i | 0.228222 | + | 0.395291i | ||||
\(677\) | 13.3748 | + | 7.72193i | 0.514035 | + | 0.296778i | 0.734491 | − | 0.678619i | \(-0.237421\pi\) |
−0.220456 | + | 0.975397i | \(0.570755\pi\) | |||||||
\(678\) | 3.76487 | + | 10.3439i | 0.144589 | + | 0.397255i | ||||
\(679\) | 0.751963 | + | 4.26460i | 0.0288577 | + | 0.163660i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 3.31521 | + | 1.20664i | 0.127039 | + | 0.0462384i | ||||
\(682\) | 3.84797 | + | 4.58584i | 0.147347 | + | 0.175601i | ||||
\(683\) | 28.0951i | 1.07503i | 0.843254 | + | 0.537515i | \(0.180637\pi\) | ||||
−0.843254 | + | 0.537515i | \(0.819363\pi\) | |||||||
\(684\) | −2.65910 | + | 1.01173i | −0.101673 | + | 0.0386846i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 7.19253 | − | 6.03525i | 0.274612 | − | 0.230427i | ||||
\(687\) | −11.6393 | + | 31.9786i | −0.444066 | + | 1.22006i | ||||
\(688\) | −0.664738 | − | 0.117211i | −0.0253429 | − | 0.00446863i | ||||
\(689\) | 0.497941 | + | 2.82396i | 0.0189700 | + | 0.107584i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.7841 | − | 34.2670i | 0.752621 | − | 1.30358i | −0.193928 | − | 0.981016i | \(-0.562123\pi\) |
0.946548 | − | 0.322562i | \(-0.104544\pi\) | |||||||
\(692\) | 12.1969 | − | 7.04189i | 0.463657 | − | 0.267692i | ||||
\(693\) | 0.617982 | − | 0.736482i | 0.0234752 | − | 0.0279766i | ||||
\(694\) | −19.4782 | − | 16.3441i | −0.739382 | − | 0.620415i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −0.467911 | + | 0.810446i | −0.0177361 | + | 0.0307199i | ||||
\(697\) | 0.821525 | + | 2.25712i | 0.0311175 | + | 0.0854946i | ||||
\(698\) | −31.7094 | + | 5.59121i | −1.20022 | + | 0.211631i | ||||
\(699\) | 4.76676 | − | 27.0336i | 0.180295 | − | 1.02251i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −14.1898 | + | 11.9067i | −0.535943 | + | 0.449710i | −0.870148 | − | 0.492791i | \(-0.835977\pi\) |
0.334205 | + | 0.942501i | \(0.391532\pi\) | |||||||
\(702\) | − | 5.95542i | − | 0.224773i | ||||||
\(703\) | −5.72513 | + | 16.4688i | −0.215927 | + | 0.621134i | ||||
\(704\) | 2.12061 | 0.0799237 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −18.9354 | − | 6.89193i | −0.712644 | − | 0.259381i | ||||
\(707\) | −9.82938 | − | 1.73318i | −0.369672 | − | 0.0651831i | ||||
\(708\) | 14.9061 | − | 2.62836i | 0.560207 | − | 0.0987797i | ||||
\(709\) | 17.1284 | − | 6.23421i | 0.643269 | − | 0.234131i | 0.000272535 | − | 1.00000i | \(-0.499913\pi\) |
0.642996 | + | 0.765869i | \(0.277691\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.800660 | − | 1.38678i | −0.0300271 | − | 0.0520084i | ||||
\(712\) | −10.3072 | + | 12.2836i | −0.386277 | + | 0.460347i | ||||
\(713\) | 1.69810 | − | 2.02372i | 0.0635944 | − | 0.0757889i | ||||
\(714\) | −0.162504 | − | 0.281465i | −0.00608155 | − | 0.0105336i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −8.84389 | + | 3.21891i | −0.330512 | + | 0.120296i | ||||
\(717\) | 10.4649 | − | 1.84524i | 0.390817 | − | 0.0689116i | ||||
\(718\) | 3.35294 | + | 0.591214i | 0.125131 | + | 0.0220639i | ||||
\(719\) | −21.9786 | − | 7.99957i | −0.819665 | − | 0.298334i | −0.102055 | − | 0.994779i | \(-0.532542\pi\) |
−0.717610 | + | 0.696445i | \(0.754764\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −13.6149 | −0.507047 | ||||||||
\(722\) | −0.550931 | − | 18.9920i | −0.0205035 | − | 0.706809i | ||||
\(723\) | 27.2540i | 1.01359i | ||||||||
\(724\) | 18.7442 | − | 15.7283i | 0.696624 | − | 0.584537i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 1.73009 | − | 9.81180i | 0.0642095 | − | 0.364150i | ||||
\(727\) | 5.26341 | − | 0.928081i | 0.195209 | − | 0.0344206i | −0.0751887 | − | 0.997169i | \(-0.523956\pi\) |
0.270398 | + | 0.962749i | \(0.412845\pi\) | |||||||
\(728\) | 0.252811 | + | 0.694593i | 0.00936980 | + | 0.0257433i | ||||
\(729\) | 15.0201 | − | 26.0155i | 0.556299 | − | 0.963538i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.157918 | + | 0.132509i | 0.00584082 | + | 0.00490103i | ||||
\(732\) | 6.59289 | − | 7.85710i | 0.243680 | − | 0.290407i | ||||
\(733\) | 27.2580 | − | 15.7374i | 1.00680 | − | 0.581275i | 0.0965450 | − | 0.995329i | \(-0.469221\pi\) |
0.910252 | + | 0.414054i | \(0.135888\pi\) | |||||||
\(734\) | 3.94356 | − | 6.83045i | 0.145560 | − | 0.252117i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.162504 | − | 0.921605i | −0.00598997 | − | 0.0339708i | ||||
\(737\) | −26.4971 | − | 4.67216i | −0.976035 | − | 0.172101i | ||||
\(738\) | 1.75573 | − | 4.82383i | 0.0646293 | − | 0.177567i | ||||
\(739\) | −19.8855 | + | 16.6859i | −0.731501 | + | 0.613802i | −0.930540 | − | 0.366189i | \(-0.880662\pi\) |
0.199039 | + | 0.979992i | \(0.436218\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 6.71276 | + | 2.33359i | 0.246599 | + | 0.0857264i | ||||
\(742\) | − | 1.87164i | − | 0.0687102i | ||||||
\(743\) | −28.2300 | − | 33.6432i | −1.03566 | − | 1.23425i | −0.971681 | − | 0.236298i | \(-0.924066\pi\) |
−0.0639778 | − | 0.997951i | \(-0.520379\pi\) | |||||||
\(744\) | −4.06418 | − | 1.47924i | −0.149000 | − | 0.0542316i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 4.24628 | + | 24.0819i | 0.155467 | + | 0.881700i | ||||
\(747\) | 3.88040 | + | 10.6613i | 0.141977 | + | 0.390077i | ||||
\(748\) | −0.560882 | − | 0.323826i | −0.0205079 | − | 0.0118402i | ||||
\(749\) | −0.716881 | − | 1.24168i | −0.0261943 | − | 0.0453698i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −25.3746 | − | 21.2918i | −0.925934 | − | 0.776951i | 0.0491492 | − | 0.998791i | \(-0.484349\pi\) |
−0.975083 | + | 0.221841i | \(0.928793\pi\) | |||||||
\(752\) | 4.91469 | − | 2.83750i | 0.179220 | − | 0.103473i | ||||
\(753\) | −22.1521 | − | 12.7895i | −0.807267 | − | 0.466076i | ||||
\(754\) | −0.610815 | + | 0.222318i | −0.0222446 | + | 0.00809636i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.674992 | + | 3.82807i | −0.0245492 | + | 0.139226i | ||||
\(757\) | −6.84915 | + | 18.8179i | −0.248937 | + | 0.683948i | 0.750789 | + | 0.660542i | \(0.229673\pi\) |
−0.999726 | + | 0.0234063i | \(0.992549\pi\) | |||||||
\(758\) | −21.7349 | − | 25.9026i | −0.789446 | − | 0.940825i | ||||
\(759\) | 3.04046 | 0.110362 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 22.4097 | 0.812352 | 0.406176 | − | 0.913795i | \(-0.366862\pi\) | ||||
0.406176 | + | 0.913795i | \(0.366862\pi\) | |||||||
\(762\) | −1.60565 | − | 1.91353i | −0.0581664 | − | 0.0693200i | ||||
\(763\) | −2.16392 | + | 5.94532i | −0.0783391 | + | 0.215235i | ||||
\(764\) | 0.355037 | − | 2.01352i | 0.0128448 | − | 0.0728464i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −29.1266 | + | 10.6012i | −1.05239 | + | 0.383037i | ||||
\(767\) | 9.10489 | + | 5.25671i | 0.328759 | + | 0.189809i | ||||
\(768\) | −1.32683 | + | 0.766044i | −0.0478778 | + | 0.0276422i | ||||
\(769\) | 7.55896 | + | 6.34272i | 0.272583 | + | 0.228724i | 0.768824 | − | 0.639460i | \(-0.220842\pi\) |
−0.496241 | + | 0.868185i | \(0.665287\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −20.0043 | − | 34.6485i | −0.720439 | − | 1.24784i | ||||
\(772\) | 12.3888 | + | 7.15270i | 0.445884 | + | 0.257431i | ||||
\(773\) | 6.59473 | + | 18.1189i | 0.237196 | + | 0.651690i | 0.999987 | + | 0.00504555i | \(0.00160606\pi\) |
−0.762791 | + | 0.646645i | \(0.776172\pi\) | |||||||
\(774\) | −0.0765042 | − | 0.433877i | −0.00274989 | − | 0.0155954i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −5.85844 | − | 2.13230i | −0.210306 | − | 0.0765450i | ||||
\(777\) | 2.73616 | + | 3.26083i | 0.0981592 | + | 0.116982i | ||||
\(778\) | − | 32.9067i | − | 1.17976i | ||||||
\(779\) | 26.5783 | + | 21.6530i | 0.952267 | + | 0.775798i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −19.8384 | + | 16.6464i | −0.709875 | + | 0.595656i | ||||
\(782\) | −0.0977517 | + | 0.268571i | −0.00349559 | + | 0.00960407i | ||||
\(783\) | −3.36635 | − | 0.593578i | −0.120304 | − | 0.0212128i | ||||
\(784\) | 1.13176 | + | 6.41852i | 0.0404200 | + | 0.229233i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −7.40033 | + | 12.8177i | −0.263961 | + | 0.457194i | ||||
\(787\) | −12.7830 | + | 7.38026i | −0.455664 | + | 0.263078i | −0.710219 | − | 0.703980i | \(-0.751404\pi\) |
0.254555 | + | 0.967058i | \(0.418071\pi\) | |||||||
\(788\) | −8.98032 | + | 10.7023i | −0.319911 | + | 0.381255i | ||||
\(789\) | −14.6682 | − | 12.3081i | −0.522201 | − | 0.438179i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.49525 | − | 4.32190i | 0.0887210 | − | 0.153669i | ||||
\(792\) | 0.473401 | + | 1.30066i | 0.0168216 | + | 0.0462169i | ||||
\(793\) | 7.01600 | − | 1.23711i | 0.249146 | − | 0.0439311i | ||||
\(794\) | −2.01960 | + | 11.4537i | −0.0716729 | + | 0.406477i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 14.4311 | − | 12.1091i | 0.511496 | − | 0.429196i | ||||
\(797\) | − | 29.2627i | − | 1.03654i | −0.855218 | − | 0.518269i | \(-0.826577\pi\) | ||
0.855218 | − | 0.518269i | \(-0.173423\pi\) | |||||||
\(798\) | −4.05039 | − | 2.26083i | −0.143382 | − | 0.0800325i | ||||
\(799\) | −1.73318 | −0.0613156 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −9.83497 | − | 3.57964i | −0.347502 | − | 0.126480i | ||||
\(802\) | 13.2660 | + | 2.33915i | 0.468437 | + | 0.0825981i | ||||
\(803\) | −14.5009 | + | 2.55690i | −0.511726 | + | 0.0902312i | ||||
\(804\) | 18.2665 | − | 6.64847i | 0.644210 | − | 0.234473i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1.50206 | − | 2.60164i | −0.0529078 | − | 0.0916390i | ||||
\(807\) | −0.810446 | + | 0.965852i | −0.0285290 | + | 0.0339996i | ||||
\(808\) | 9.23659 | − | 11.0077i | 0.324942 | − | 0.387251i | ||||
\(809\) | −23.6129 | − | 40.8988i | −0.830186 | − | 1.43793i | −0.897890 | − | 0.440220i | \(-0.854901\pi\) |
0.0677037 | − | 0.997705i | \(-0.478433\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −17.4338 | + | 6.34537i | −0.612182 | + | 0.222816i | −0.629458 | − | 0.777035i | \(-0.716723\pi\) |
0.0172756 | + | 0.999851i | \(0.494501\pi\) | |||||||
\(812\) | 0.417822 | − | 0.0736733i | 0.0146627 | − | 0.00258542i | ||||
\(813\) | 18.2322 | + | 3.21482i | 0.639430 | + | 0.112749i | ||||
\(814\) | 7.97090 | + | 2.90117i | 0.279380 | + | 0.101686i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0.467911 | 0.0163802 | ||||||||
\(817\) | 2.90463 | + | 0.468845i | 0.101620 | + | 0.0164028i | ||||
\(818\) | 14.3618i | 0.502150i | ||||||||
\(819\) | −0.369585 | + | 0.310119i | −0.0129143 | + | 0.0108364i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 8.55850 | − | 48.5376i | 0.298694 | − | 1.69398i | −0.353105 | − | 0.935584i | \(-0.614874\pi\) |
0.651799 | − | 0.758392i | \(-0.274015\pi\) | |||||||
\(822\) | 17.3998 | − | 3.06805i | 0.606887 | − | 0.107010i | ||||
\(823\) | −8.27758 | − | 22.7425i | −0.288538 | − | 0.792753i | −0.996272 | − | 0.0862728i | \(-0.972504\pi\) |
0.707733 | − | 0.706480i | \(-0.249718\pi\) | |||||||
\(824\) | 9.80066 | − | 16.9752i | 0.341422 | − | 0.591361i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.25671 | − | 4.41090i | −0.182904 | − | 0.153475i | ||||
\(827\) | 9.92561 | − | 11.8289i | 0.345147 | − | 0.411330i | −0.565346 | − | 0.824854i | \(-0.691257\pi\) |
0.910494 | + | 0.413523i | \(0.135702\pi\) | |||||||
\(828\) | 0.528981 | − | 0.305407i | 0.0183834 | − | 0.0106136i | ||||
\(829\) | −1.47565 | + | 2.55590i | −0.0512515 | + | 0.0887702i | −0.890513 | − | 0.454958i | \(-0.849654\pi\) |
0.839261 | + | 0.543728i | \(0.182988\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 2.99588 | + | 16.9905i | 0.103926 | + | 0.589393i | ||||
\(832\) | −1.04801 | − | 0.184793i | −0.0363332 | − | 0.00640653i | ||||
\(833\) | 0.680793 | − | 1.87046i | 0.0235881 | − | 0.0648077i | ||||
\(834\) | 8.03390 | − | 6.74124i | 0.278191 | − | 0.233430i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −9.24257 | + | 0.134029i | −0.319661 | + | 0.00463548i | ||||
\(837\) | − | 15.7980i | − | 0.546058i | ||||||
\(838\) | −20.7468 | − | 24.7251i | −0.716687 | − | 0.854114i | ||||
\(839\) | −3.51754 | − | 1.28028i | −0.121439 | − | 0.0442002i | 0.280586 | − | 0.959829i | \(-0.409471\pi\) |
−0.402025 | + | 0.915629i | \(0.631693\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.97101 | − | 28.1920i | −0.171414 | − | 0.972138i | ||||
\(842\) | −4.51211 | − | 12.3969i | −0.155498 | − | 0.427226i | ||||
\(843\) | 34.7802 | + | 20.0804i | 1.19789 | + | 0.691605i | ||||
\(844\) | −0.138156 | − | 0.239293i | −0.00475552 | − | 0.00823680i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 2.83750 | + | 2.38094i | 0.0975551 | + | 0.0818585i | ||||
\(847\) | −3.91178 | + | 2.25847i | −0.134410 | + | 0.0776018i | ||||
\(848\) | 2.33359 | + | 1.34730i | 0.0801357 | + | 0.0462663i | ||||
\(849\) | −37.0540 | + | 13.4865i | −1.27169 | + | 0.462857i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.650015 | − | 3.68642i | 0.0222822 | − | 0.126369i | ||||
\(852\) | 6.39922 | − | 17.5817i | 0.219234 | − | 0.602340i | ||||
\(853\) | 24.7712 | + | 29.5212i | 0.848150 | + | 1.01079i | 0.999750 | + | 0.0223436i | \(0.00711277\pi\) |
−0.151601 | + | 0.988442i | \(0.548443\pi\) | |||||||
\(854\) | −4.65002 | −0.159120 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.06418 | 0.0705521 | ||||||||
\(857\) | 30.8258 | + | 36.7367i | 1.05299 | + | 1.25490i | 0.965959 | + | 0.258696i | \(0.0832928\pi\) |
0.0870288 | + | 0.996206i | \(0.472263\pi\) | |||||||
\(858\) | 1.18253 | − | 3.24897i | 0.0403709 | − | 0.110918i | ||||
\(859\) | −8.46750 | + | 48.0216i | −0.288907 | + | 1.63848i | 0.402077 | + | 0.915606i | \(0.368288\pi\) |
−0.690985 | + | 0.722869i | \(0.742823\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 7.86484 | − | 2.86257i | 0.268033 | − | 0.0975560i | ||||
\(862\) | 4.13819 | + | 2.38919i | 0.140947 | + | 0.0813760i | ||||
\(863\) | −11.2887 | + | 6.51754i | −0.384272 | + | 0.221860i | −0.679675 | − | 0.733513i | \(-0.737879\pi\) |
0.295403 | + | 0.955373i | \(0.404546\pi\) | |||||||
\(864\) | −4.28699 | − | 3.59721i | −0.145846 | − | 0.122380i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −14.0351 | − | 24.3095i | −0.476931 | − | 0.826070i | ||||
\(867\) | 22.4323 | + | 12.9513i | 0.761841 | + | 0.439849i | ||||
\(868\) | 0.670633 | + | 1.84255i | 0.0227628 | + | 0.0625402i | ||||
\(869\) | −0.903429 | − | 5.12360i | −0.0306467 | − | 0.173806i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.6878 | + | 4.61798i | 0.429909 | + | 0.156474i | ||||
\(872\) | −5.85499 | − | 6.97771i | −0.198275 | − | 0.236295i | ||||
\(873\) | − | 4.06923i | − | 0.137723i | ||||||
\(874\) | 0.766511 | + | 4.00649i | 0.0259276 | + | 0.135522i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 8.14930 | − | 6.83807i | 0.275339 | − | 0.231037i | ||||
\(877\) | 16.3030 | − | 44.7921i | 0.550513 | − | 1.51252i | −0.282500 | − | 0.959267i | \(-0.591164\pi\) |
0.833012 | − | 0.553254i | \(-0.186614\pi\) | |||||||
\(878\) | 22.9765 | + | 4.05138i | 0.775421 | + | 0.136728i | ||||
\(879\) | 7.05232 | + | 39.9957i | 0.237869 | + | 1.34902i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.92973 | − | 5.07444i | 0.0987051 | − | 0.170962i | −0.812444 | − | 0.583040i | \(-0.801863\pi\) |
0.911149 | + | 0.412077i | \(0.135197\pi\) | |||||||
\(882\) | −3.68409 | + | 2.12701i | −0.124050 | + | 0.0716202i | ||||
\(883\) | 1.64517 | − | 1.96064i | 0.0553644 | − | 0.0659807i | −0.737652 | − | 0.675182i | \(-0.764065\pi\) |
0.793016 | + | 0.609201i | \(0.208510\pi\) | |||||||
\(884\) | 0.248970 | + | 0.208911i | 0.00837378 | + | 0.00702643i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −7.47519 | + | 12.9474i | −0.251134 | + | 0.434976i | ||||
\(887\) | −5.23010 | − | 14.3696i | −0.175610 | − | 0.482483i | 0.820394 | − | 0.571799i | \(-0.193754\pi\) |
−0.996003 | + | 0.0893155i | \(0.971532\pi\) | |||||||
\(888\) | −6.03525 | + | 1.06418i | −0.202530 | + | 0.0357115i | ||||
\(889\) | −0.196652 | + | 1.11527i | −0.00659550 | + | 0.0374049i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 10.7474 | − | 9.01812i | 0.360051 | − | 0.302118i | ||||
\(892\) | 6.90673i | 0.231254i | ||||||||
\(893\) | −21.2410 | + | 12.6777i | −0.710804 | + | 0.424242i | ||||
\(894\) | −13.6459 | −0.456387 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0.652704 | + | 0.237565i | 0.0218053 | + | 0.00793648i | ||||
\(897\) | −1.50260 | − | 0.264949i | −0.0501703 | − | 0.00884638i | ||||
\(898\) | 8.68983 | − | 1.53225i | 0.289983 | − | 0.0511319i | ||||
\(899\) | −1.62031 | + | 0.589745i | −0.0540404 | + | 0.0196691i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.411474 | − | 0.712694i | −0.0137082 | − | 0.0237433i | ||||
\(902\) | 10.7206 | − | 12.7763i | 0.356957 | − | 0.425405i | ||||
\(903\) | 0.461722 | − | 0.550259i | 0.0153651 | − | 0.0183115i | ||||
\(904\) | 3.59240 | + | 6.22221i | 0.119481 | + | 0.206948i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −15.5817 | + | 5.67128i | −0.517668 | + | 0.188416i | ||||
\(907\) | −13.9114 | + | 2.45295i | −0.461920 | + | 0.0814490i | −0.399765 | − | 0.916618i | \(-0.630908\pi\) |
−0.0621548 | + | 0.998067i | \(0.519797\pi\) | |||||||
\(908\) | 2.26774 | + | 0.399863i | 0.0752574 | + | 0.0132699i | ||||
\(909\) | 8.81345 | + | 3.20783i | 0.292324 | + | 0.106397i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 31.3809 | 1.03970 | 0.519849 | − | 0.854258i | \(-0.325988\pi\) | ||||
0.519849 | + | 0.854258i | \(0.325988\pi\) | |||||||
\(912\) | 5.73448 | − | 3.42262i | 0.189888 | − | 0.113334i | ||||
\(913\) | 36.8613i | 1.21993i | ||||||||
\(914\) | −14.9042 | + | 12.5061i | −0.492987 | + | 0.413665i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.85710 | + | 21.8747i | −0.127442 | + | 0.722760i | ||||
\(917\) | 6.60813 | − | 1.16519i | 0.218220 | − | 0.0384780i | ||||
\(918\) | 0.584561 | + | 1.60607i | 0.0192934 | + | 0.0530081i | ||||
\(919\) | 12.7811 | − | 22.1374i | 0.421608 | − | 0.730247i | −0.574489 | − | 0.818512i | \(-0.694799\pi\) |
0.996097 | + | 0.0882656i | \(0.0281324\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.73783 | − | 3.13641i | −0.123166 | − | 0.103348i | ||||
\(922\) | 16.9027 | − | 20.1438i | 0.556660 | − | 0.663402i | ||||
\(923\) | 11.2548 | − | 6.49794i | 0.370455 | − | 0.213882i | ||||
\(924\) | −1.12836 | + | 1.95437i | −0.0371202 | + | 0.0642940i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −5.93851 | − | 33.6790i | −0.195152 | − | 1.10676i | ||||
\(927\) | 12.5995 | + | 2.22163i | 0.413821 | + | 0.0729679i | ||||
\(928\) | −0.208911 | + | 0.573978i | −0.00685784 | + | 0.0188417i | ||||
\(929\) | 6.68866 | − | 5.61245i | 0.219448 | − | 0.184139i | −0.526436 | − | 0.850215i | \(-0.676472\pi\) |
0.745884 | + | 0.666076i | \(0.232027\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.33837 | − | 27.9032i | −0.174958 | − | 0.914491i | ||||
\(932\) | − | 17.9172i | − | 0.586896i | ||||||
\(933\) | −0.810446 | − | 0.965852i | −0.0265328 | − | 0.0316206i | ||||
\(934\) | −0.00639661 | − | 0.00232818i | −0.000209304 | − | 7.61803e-5i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −0.120615 | − | 0.684040i | −0.00394242 | − | 0.0223586i | ||||
\(937\) | 9.16372 | + | 25.1771i | 0.299366 | + | 0.822500i | 0.994606 | + | 0.103723i | \(0.0330756\pi\) |
−0.695241 | + | 0.718777i | \(0.744702\pi\) | |||||||
\(938\) | −7.63215 | − | 4.40642i | −0.249198 | − | 0.143875i | ||||
\(939\) | −16.7672 | − | 29.0417i | −0.547178 | − | 0.947740i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −9.51754 | − | 7.98617i | −0.310263 | − | 0.260342i | 0.474338 | − | 0.880343i | \(-0.342688\pi\) |
−0.784601 | + | 0.620001i | \(0.787132\pi\) | |||||||
\(942\) | 14.1899 | − | 8.19253i | 0.462331 | − | 0.266927i | ||||
\(943\) | −6.37402 | − | 3.68004i | −0.207567 | − | 0.119839i | ||||
\(944\) | 9.28359 | − | 3.37895i | 0.302155 | − | 0.109975i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.248560 | − | 1.40965i | 0.00808138 | − | 0.0458318i | ||||
\(947\) | 14.2742 | − | 39.2181i | 0.463850 | − | 1.27442i | −0.458718 | − | 0.888582i | \(-0.651691\pi\) |
0.922568 | − | 0.385835i | \(-0.126087\pi\) | |||||||
\(948\) | 2.41609 | + | 2.87939i | 0.0784710 | + | 0.0935181i | ||||
\(949\) | 7.38919 | 0.239863 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 20.2567 | 0.656869 | ||||||||
\(952\) | −0.136357 | − | 0.162504i | −0.00441935 | − | 0.00526678i | ||||
\(953\) | 2.57725 | − | 7.08095i | 0.0834854 | − | 0.229374i | −0.890925 | − | 0.454150i | \(-0.849943\pi\) |
0.974410 | + | 0.224776i | \(0.0721651\pi\) | |||||||
\(954\) | −0.305407 | + | 1.73205i | −0.00988793 | + | 0.0560772i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 6.51754 | − | 2.37219i | 0.210792 | − | 0.0767221i | ||||
\(957\) | −1.71864 | − | 0.992259i | −0.0555559 | − | 0.0320752i | ||||
\(958\) | 15.6744 | − | 9.04963i | 0.506417 | − | 0.292380i | ||||
\(959\) | −6.13610 | − | 5.14880i | −0.198145 | − | 0.166263i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11.5155 | + | 19.9454i | 0.371467 | + | 0.643400i | ||||
\(962\) | −3.68642 | − | 2.12836i | −0.118855 | − | 0.0686209i | ||||
\(963\) | 0.460802 | + | 1.26604i | 0.0148492 | + | 0.0407977i | ||||
\(964\) | 3.08899 | + | 17.5185i | 0.0994898 | + | 0.564234i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0.935822 | + | 0.340611i | 0.0301096 | + | 0.0109590i | ||||
\(967\) | 9.73042 | + | 11.5963i | 0.312909 | + | 0.372911i | 0.899461 | − | 0.437001i | \(-0.143959\pi\) |
−0.586552 | + | 0.809912i | \(0.699515\pi\) | |||||||
\(968\) | − | 6.50299i | − | 0.209014i | ||||||
\(969\) | −2.03936 | + | 0.0295733i | −0.0655138 | + | 0.000950031i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −40.6921 | + | 34.1447i | −1.30587 | + | 1.09576i | −0.316774 | + | 0.948501i | \(0.602600\pi\) |
−0.989098 | + | 0.147256i | \(0.952956\pi\) | |||||||
\(972\) | 2.27536 | − | 6.25150i | 0.0729822 | − | 0.200517i | ||||
\(973\) | −4.68242 | − | 0.825637i | −0.150111 | − | 0.0264687i | ||||
\(974\) | −0.128356 | − | 0.727940i | −0.00411278 | − | 0.0233247i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.34730 | − | 5.79769i | 0.107144 | − | 0.185579i | ||||
\(977\) | 18.5630 | − | 10.7173i | 0.593883 | − | 0.342878i | −0.172749 | − | 0.984966i | \(-0.555265\pi\) |
0.766631 | + | 0.642088i | \(0.221931\pi\) | |||||||
\(978\) | 2.43042 | − | 2.89646i | 0.0777162 | − | 0.0926186i | ||||
\(979\) | −26.0488 | − | 21.8575i | −0.832522 | − | 0.698569i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.97266 | − | 5.14880i | 0.0949097 | − | 0.164388i | ||||
\(982\) | −4.24265 | − | 11.6566i | −0.135388 | − | 0.371976i | ||||
\(983\) | 24.2235 | − | 4.27126i | 0.772610 | − | 0.136232i | 0.226574 | − | 0.973994i | \(-0.427247\pi\) |
0.546036 | + | 0.837762i | \(0.316136\pi\) | |||||||
\(984\) | −2.09240 | + | 11.8666i | −0.0667032 | + | 0.378292i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0.142903 | − | 0.119910i | 0.00455097 | − | 0.00381872i | ||||
\(987\) | 6.03920i | 0.192230i | ||||||||
\(988\) | 4.57937 | + | 0.739170i | 0.145689 | + | 0.0235161i | ||||
\(989\) | −0.631673 | −0.0200860 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −38.8256 | − | 14.1314i | −1.23334 | − | 0.448898i | −0.358598 | − | 0.933492i | \(-0.616745\pi\) |
−0.874739 | + | 0.484594i | \(0.838967\pi\) | |||||||
\(992\) | −2.78006 | − | 0.490200i | −0.0882670 | − | 0.0155639i | ||||
\(993\) | 2.47167 | − | 0.435822i | 0.0784361 | − | 0.0138304i | ||||
\(994\) | −7.97090 | + | 2.90117i | −0.252822 | + | 0.0920196i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −13.3157 | − | 23.0634i | −0.421923 | − | 0.730793i | ||||
\(997\) | 27.9760 | − | 33.3405i | 0.886009 | − | 1.05590i | −0.112055 | − | 0.993702i | \(-0.535743\pi\) |
0.998064 | − | 0.0622019i | \(-0.0198123\pi\) | |||||||
\(998\) | 9.65939 | − | 11.5116i | 0.305763 | − | 0.364394i | ||||
\(999\) | −11.1925 | − | 19.3860i | −0.354116 | − | 0.613347i |
(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 | 950.2.u.c.899.1 | 12 | ||
5.2 | odd | 4 | 190.2.k.a.101.1 | ✓ | 6 | ||
5.3 | odd | 4 | 950.2.l.c.101.1 | 6 | |||
5.4 | even | 2 | inner | 950.2.u.c.899.2 | 12 | ||
19.16 | even | 9 | inner | 950.2.u.c.149.2 | 12 | ||
95.42 | odd | 36 | 3610.2.a.x.1.1 | 3 | |||
95.54 | even | 18 | inner | 950.2.u.c.149.1 | 12 | ||
95.72 | even | 36 | 3610.2.a.w.1.3 | 3 | |||
95.73 | odd | 36 | 950.2.l.c.301.1 | 6 | |||
95.92 | odd | 36 | 190.2.k.a.111.1 | yes | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.a.101.1 | ✓ | 6 | 5.2 | odd | 4 | ||
190.2.k.a.111.1 | yes | 6 | 95.92 | odd | 36 | ||
950.2.l.c.101.1 | 6 | 5.3 | odd | 4 | |||
950.2.l.c.301.1 | 6 | 95.73 | odd | 36 | |||
950.2.u.c.149.1 | 12 | 95.54 | even | 18 | inner | ||
950.2.u.c.149.2 | 12 | 19.16 | even | 9 | inner | ||
950.2.u.c.899.1 | 12 | 1.1 | even | 1 | trivial | ||
950.2.u.c.899.2 | 12 | 5.4 | even | 2 | inner | ||
3610.2.a.w.1.3 | 3 | 95.72 | even | 36 | |||
3610.2.a.x.1.1 | 3 | 95.42 | odd | 36 |