Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(19,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.bk (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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 168) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.13 | ||
Character | \(\chi\) | \(=\) | 504.19 |
Dual form | 504.2.bk.c.451.13 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.03162 | − | 0.967346i | 0.729466 | − | 0.684017i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.128485 | − | 1.99587i | 0.0642426 | − | 0.997934i | ||||
\(5\) | 1.25150 | − | 2.16767i | 0.559689 | − | 0.969410i | −0.437833 | − | 0.899056i | \(-0.644254\pi\) |
0.997522 | − | 0.0703538i | \(-0.0224128\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.36321 | + | 2.26752i | −0.515245 | + | 0.857043i | ||||
\(8\) | −1.79815 | − | 2.18327i | −0.635741 | − | 0.771903i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.805806 | − | 3.44685i | −0.254818 | − | 1.08999i | ||||
\(11\) | −2.83809 | − | 4.91572i | −0.855717 | − | 1.48215i | −0.875978 | − | 0.482351i | \(-0.839783\pi\) |
0.0202603 | − | 0.999795i | \(-0.493550\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.31228 | 1.47336 | 0.736681 | − | 0.676241i | \(-0.236392\pi\) | ||||
0.736681 | + | 0.676241i | \(0.236392\pi\) | |||||||
\(14\) | 0.787162 | + | 3.65792i | 0.210378 | + | 0.977620i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.96698 | − | 0.512879i | −0.991746 | − | 0.128220i | ||||
\(17\) | 0.393919 | − | 0.227429i | 0.0955393 | − | 0.0551596i | −0.451469 | − | 0.892287i | \(-0.649100\pi\) |
0.547008 | + | 0.837127i | \(0.315767\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.19938 | − | 1.84716i | −0.733988 | − | 0.423768i | 0.0858912 | − | 0.996305i | \(-0.472626\pi\) |
−0.819879 | + | 0.572536i | \(0.805960\pi\) | |||||||
\(20\) | −4.16558 | − | 2.77635i | −0.931452 | − | 0.620811i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −7.68304 | − | 2.32575i | −1.63803 | − | 0.495851i | ||||
\(23\) | 4.43443 | + | 2.56022i | 0.924642 | + | 0.533842i | 0.885113 | − | 0.465376i | \(-0.154081\pi\) |
0.0395287 | + | 0.999218i | \(0.487414\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.632521 | − | 1.09556i | −0.126504 | − | 0.219112i | ||||
\(26\) | 5.48026 | − | 5.13881i | 1.07477 | − | 1.00780i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.35053 | + | 3.01213i | 0.822172 | + | 0.569239i | ||||
\(29\) | 2.57962i | 0.479024i | 0.970893 | + | 0.239512i | \(0.0769874\pi\) | ||||
−0.970893 | + | 0.239512i | \(0.923013\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.00333 | − | 5.20192i | −0.539414 | − | 0.934293i | −0.998936 | − | 0.0461260i | \(-0.985312\pi\) |
0.459521 | − | 0.888167i | \(-0.348021\pi\) | |||||||
\(32\) | −4.58856 | + | 3.30835i | −0.811150 | + | 0.584839i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.186372 | − | 0.615676i | 0.0319626 | − | 0.105588i | ||||
\(35\) | 3.20917 | + | 5.79280i | 0.542449 | + | 0.979161i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.80778 | + | 4.50782i | 1.28359 | + | 0.741082i | 0.977503 | − | 0.210922i | \(-0.0676465\pi\) |
0.306088 | + | 0.952003i | \(0.400980\pi\) | |||||||
\(38\) | −5.08739 | + | 1.18933i | −0.825284 | + | 0.192935i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.98299 | + | 1.16541i | −1.10411 | + | 0.184268i | ||||
\(41\) | 4.65692i | 0.727289i | 0.931538 | + | 0.363644i | \(0.118468\pi\) | ||||
−0.931538 | + | 0.363644i | \(0.881532\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.66703 | 0.559217 | 0.279608 | − | 0.960114i | \(-0.409795\pi\) | ||||
0.279608 | + | 0.960114i | \(0.409795\pi\) | |||||||
\(44\) | −10.1758 | + | 5.03286i | −1.53406 | + | 0.758733i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 7.05126 | − | 1.64845i | 1.03965 | − | 0.243050i | ||||
\(47\) | −0.478841 | + | 0.829377i | −0.0698461 | + | 0.120977i | −0.898833 | − | 0.438290i | \(-0.855584\pi\) |
0.828987 | + | 0.559267i | \(0.188918\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.28332 | − | 6.18222i | −0.469046 | − | 0.883174i | ||||
\(50\) | −1.71230 | − | 0.518335i | −0.242156 | − | 0.0733036i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.682549 | − | 10.6026i | 0.0946526 | − | 1.47032i | ||||
\(53\) | −5.41124 | + | 3.12418i | −0.743290 | + | 0.429139i | −0.823264 | − | 0.567658i | \(-0.807850\pi\) |
0.0799741 | + | 0.996797i | \(0.474516\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −14.2075 | −1.91574 | ||||||||
\(56\) | 7.40187 | − | 1.10108i | 0.989116 | − | 0.147138i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.49539 | + | 2.66119i | 0.327660 | + | 0.349432i | ||||
\(59\) | 8.76604 | − | 5.06108i | 1.14124 | − | 0.658896i | 0.194503 | − | 0.980902i | \(-0.437690\pi\) |
0.946738 | + | 0.322006i | \(0.104357\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.50184 | − | 4.33331i | 0.320327 | − | 0.554823i | −0.660228 | − | 0.751065i | \(-0.729540\pi\) |
0.980555 | + | 0.196242i | \(0.0628738\pi\) | |||||||
\(62\) | −8.13036 | − | 2.46115i | −1.03256 | − | 0.312567i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.53334 | + | 7.85168i | −0.191667 | + | 0.981460i | ||||
\(65\) | 6.64834 | − | 11.5153i | 0.824625 | − | 1.42829i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.65133 | + | 8.05634i | 0.568251 | + | 0.984239i | 0.996739 | + | 0.0806916i | \(0.0257129\pi\) |
−0.428489 | + | 0.903547i | \(0.640954\pi\) | |||||||
\(68\) | −0.403306 | − | 0.815431i | −0.0489080 | − | 0.0988856i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 8.91429 | + | 2.87159i | 1.06546 | + | 0.343221i | ||||
\(71\) | 7.35240i | 0.872569i | 0.899809 | + | 0.436285i | \(0.143706\pi\) | ||||
−0.899809 | + | 0.436285i | \(0.856294\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.93541 | − | 3.42681i | 0.694687 | − | 0.401078i | −0.110678 | − | 0.993856i | \(-0.535302\pi\) |
0.805366 | + | 0.592779i | \(0.201969\pi\) | |||||||
\(74\) | 12.4153 | − | 2.90245i | 1.44325 | − | 0.337403i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.09777 | + | 6.14821i | −0.470046 | + | 0.705248i | ||||
\(77\) | 15.0154 | + | 0.265718i | 1.71117 | + | 0.0302814i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.71882 | + | 4.45646i | 0.868435 | + | 0.501391i | 0.866828 | − | 0.498607i | \(-0.166155\pi\) |
0.00160740 | + | 0.999999i | \(0.499488\pi\) | |||||||
\(80\) | −6.07644 | + | 7.95723i | −0.679367 | + | 0.889645i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.50485 | + | 4.80418i | 0.497478 | + | 0.530533i | ||||
\(83\) | 1.96259i | 0.215423i | 0.994182 | + | 0.107711i | \(0.0343522\pi\) | ||||
−0.994182 | + | 0.107711i | \(0.965648\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 1.13851i | − | 0.123489i | ||||||
\(86\) | 3.78299 | − | 3.54728i | 0.407930 | − | 0.382514i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.62904 | + | 15.0355i | −0.600058 | + | 1.60279i | ||||
\(89\) | −5.91361 | − | 3.41423i | −0.626842 | − | 0.361907i | 0.152686 | − | 0.988275i | \(-0.451208\pi\) |
−0.779528 | + | 0.626367i | \(0.784541\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.24175 | + | 12.0457i | −0.759142 | + | 1.26273i | ||||
\(92\) | 5.67961 | − | 8.52158i | 0.592141 | − | 0.888436i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.308312 | + | 1.31881i | 0.0317999 | + | 0.136025i | ||||
\(95\) | −8.00807 | + | 4.62346i | −0.821611 | + | 0.474357i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 3.71270i | − | 0.376967i | −0.982076 | − | 0.188484i | \(-0.939643\pi\) | ||
0.982076 | − | 0.188484i | \(-0.0603573\pi\) | |||||||
\(98\) | −9.36748 | − | 3.20160i | −0.946259 | − | 0.323411i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.26786 | + | 1.12167i | −0.226786 | + | 0.112167i | ||||
\(101\) | 2.84077 | + | 4.92036i | 0.282667 | + | 0.489594i | 0.972041 | − | 0.234812i | \(-0.0754474\pi\) |
−0.689373 | + | 0.724406i | \(0.742114\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.95345 | + | 5.11553i | −0.291013 | + | 0.504049i | −0.974049 | − | 0.226335i | \(-0.927325\pi\) |
0.683037 | + | 0.730384i | \(0.260659\pi\) | |||||||
\(104\) | −9.55226 | − | 11.5981i | −0.936676 | − | 1.13729i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.56019 | + | 8.45750i | −0.248667 | + | 0.821465i | ||||
\(107\) | −5.33045 | + | 9.23261i | −0.515314 | + | 0.892550i | 0.484528 | + | 0.874776i | \(0.338991\pi\) |
−0.999842 | + | 0.0177741i | \(0.994342\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.75319 | + | 1.58956i | −0.263708 | + | 0.152252i | −0.626025 | − | 0.779803i | \(-0.715319\pi\) |
0.362317 | + | 0.932055i | \(0.381986\pi\) | |||||||
\(110\) | −14.6568 | + | 13.7436i | −1.39747 | + | 1.31040i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.57079 | − | 8.29606i | 0.620882 | − | 0.783904i | ||||
\(113\) | 0.302446 | 0.0284518 | 0.0142259 | − | 0.999899i | \(-0.495472\pi\) | ||||
0.0142259 | + | 0.999899i | \(0.495472\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 11.0994 | − | 6.40824i | 1.03502 | − | 0.597571i | ||||
\(116\) | 5.14859 | + | 0.331443i | 0.478034 | + | 0.0307737i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.14742 | − | 13.7009i | 0.381801 | − | 1.26127i | ||||
\(119\) | −0.0212932 | + | 1.20325i | −0.00195194 | + | 0.110302i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.6096 | + | 18.3763i | −0.964505 | + | 1.67057i | ||||
\(122\) | −1.61086 | − | 6.89047i | −0.145840 | − | 0.623834i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −10.7682 | + | 5.32588i | −0.967016 | + | 0.478278i | ||||
\(125\) | 9.34863 | 0.836167 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.39751i | 0.567687i | 0.958871 | + | 0.283843i | \(0.0916096\pi\) | ||||
−0.958871 | + | 0.283843i | \(0.908390\pi\) | |||||||
\(128\) | 6.01346 | + | 9.58323i | 0.531520 | + | 0.847046i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.28067 | − | 18.3106i | −0.375439 | − | 1.60595i | ||||
\(131\) | 12.5596 | + | 7.25130i | 1.09734 | + | 0.633549i | 0.935521 | − | 0.353272i | \(-0.114931\pi\) |
0.161818 | + | 0.986821i | \(0.448264\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.54991 | − | 4.73660i | 0.741371 | − | 0.410715i | ||||
\(134\) | 12.5917 | + | 3.81165i | 1.08776 | + | 0.329276i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.20486 | − | 0.451080i | −0.103316 | − | 0.0386798i | ||||
\(137\) | 0.615559 | + | 1.06618i | 0.0525908 | + | 0.0910899i | 0.891122 | − | 0.453763i | \(-0.149919\pi\) |
−0.838532 | + | 0.544853i | \(0.816585\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 15.7788i | − | 1.33834i | −0.743108 | − | 0.669172i | \(-0.766649\pi\) | ||
0.743108 | − | 0.669172i | \(-0.233351\pi\) | |||||||
\(140\) | 11.9740 | − | 5.66080i | 1.01199 | − | 0.478425i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 7.11231 | + | 7.58489i | 0.596852 | + | 0.636510i | ||||
\(143\) | −15.0768 | − | 26.1137i | −1.26078 | − | 2.18374i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.59176 | + | 3.22841i | 0.464371 | + | 0.268104i | ||||
\(146\) | 2.80819 | − | 9.27676i | 0.232407 | − | 0.767750i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.0002 | − | 15.0041i | 0.822012 | − | 1.23333i | ||||
\(149\) | −5.15767 | − | 2.97778i | −0.422532 | − | 0.243949i | 0.273628 | − | 0.961836i | \(-0.411776\pi\) |
−0.696160 | + | 0.717886i | \(0.745110\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.11126 | + | 1.79629i | −0.253191 | + | 0.146180i | −0.621224 | − | 0.783633i | \(-0.713364\pi\) |
0.368034 | + | 0.929812i | \(0.380031\pi\) | |||||||
\(152\) | 1.72010 | + | 10.3066i | 0.139518 | + | 0.835974i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 15.7473 | − | 14.2510i | 1.26895 | − | 1.14838i | ||||
\(155\) | −15.0347 | −1.20762 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.491762 | + | 0.851757i | 0.0392469 | + | 0.0679776i | 0.884982 | − | 0.465626i | \(-0.154171\pi\) |
−0.845735 | + | 0.533604i | \(0.820837\pi\) | |||||||
\(158\) | 12.2738 | − | 2.86939i | 0.976455 | − | 0.228276i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.42880 | + | 14.0869i | 0.112957 | + | 1.11366i | ||||
\(161\) | −11.8504 | + | 6.56505i | −0.933942 | + | 0.517398i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.26083 | + | 2.18383i | −0.0987562 | + | 0.171051i | −0.911170 | − | 0.412030i | \(-0.864820\pi\) |
0.812414 | + | 0.583081i | \(0.198153\pi\) | |||||||
\(164\) | 9.29460 | + | 0.598345i | 0.725787 | + | 0.0467229i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.89851 | + | 2.02465i | 0.147353 | + | 0.157144i | ||||
\(167\) | −5.26232 | −0.407211 | −0.203605 | − | 0.979053i | \(-0.565266\pi\) | ||||
−0.203605 | + | 0.979053i | \(0.565266\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 15.2203 | 1.17079 | ||||||||
\(170\) | −1.10134 | − | 1.17451i | −0.0844686 | − | 0.0900811i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.471159 | − | 7.31891i | 0.0359255 | − | 0.558062i | ||||
\(173\) | −0.0718117 | + | 0.124381i | −0.00545974 | + | 0.00945654i | −0.868742 | − | 0.495264i | \(-0.835071\pi\) |
0.863283 | + | 0.504721i | \(0.168405\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.34646 | + | 0.0592202i | 0.252969 | + | 0.00447662i | ||||
\(176\) | 8.73750 | + | 20.9562i | 0.658614 | + | 1.57963i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.40335 | + | 2.19832i | −0.704811 | + | 0.164771i | ||||
\(179\) | −9.46239 | − | 16.3893i | −0.707252 | − | 1.22500i | −0.965873 | − | 0.259018i | \(-0.916601\pi\) |
0.258621 | − | 0.965979i | \(-0.416732\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −22.2260 | −1.65204 | −0.826022 | − | 0.563637i | \(-0.809402\pi\) | ||||
−0.826022 | + | 0.563637i | \(0.809402\pi\) | |||||||
\(182\) | 4.18163 | + | 19.4319i | 0.309963 | + | 1.44039i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.38410 | − | 14.2852i | −0.175758 | − | 1.05312i | ||||
\(185\) | 19.5429 | − | 11.2831i | 1.43682 | − | 0.829551i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.23596 | − | 1.29093i | −0.163509 | − | 0.0944021i | ||||
\(188\) | 1.59380 | + | 1.06227i | 0.116240 | + | 0.0774737i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.78881 | + | 12.5162i | −0.274869 | + | 0.908023i | ||||
\(191\) | −10.2112 | − | 5.89547i | −0.738860 | − | 0.426581i | 0.0827947 | − | 0.996567i | \(-0.473615\pi\) |
−0.821655 | + | 0.569986i | \(0.806949\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −13.4112 | − | 23.2289i | −0.965361 | − | 1.67205i | −0.708642 | − | 0.705568i | \(-0.750692\pi\) |
−0.256719 | − | 0.966486i | \(-0.582641\pi\) | |||||||
\(194\) | −3.59146 | − | 3.83010i | −0.257852 | − | 0.274985i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −12.7608 | + | 5.75875i | −0.911482 | + | 0.411339i | ||||
\(197\) | − | 16.5842i | − | 1.18157i | −0.806828 | − | 0.590786i | \(-0.798818\pi\) | ||
0.806828 | − | 0.590786i | \(-0.201182\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.70420 | − | 9.87996i | −0.404360 | − | 0.700372i | 0.589887 | − | 0.807486i | \(-0.299172\pi\) |
−0.994247 | + | 0.107114i | \(0.965839\pi\) | |||||||
\(200\) | −1.25453 | + | 3.35094i | −0.0887090 | + | 0.236947i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 7.69029 | + | 2.32794i | 0.541087 | + | 0.163793i | ||||
\(203\) | −5.84935 | − | 3.51657i | −0.410544 | − | 0.246815i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.0947 | + | 5.82815i | 0.705041 | + | 0.407056i | ||||
\(206\) | 1.90164 | + | 8.13430i | 0.132494 | + | 0.566744i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −21.0737 | − | 2.72456i | −1.46120 | − | 0.188914i | ||||
\(209\) | 20.9697i | 1.45050i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.13300 | −0.284527 | −0.142264 | − | 0.989829i | \(-0.545438\pi\) | ||||
−0.142264 | + | 0.989829i | \(0.545438\pi\) | |||||||
\(212\) | 5.54019 | + | 11.2015i | 0.380502 | + | 0.769324i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.43212 | + | 14.6809i | 0.234615 | + | 1.00357i | ||||
\(215\) | 4.58930 | − | 7.94890i | 0.312988 | − | 0.542110i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 15.8896 | + | 0.281189i | 1.07866 | + | 0.0190883i | ||||
\(218\) | −1.30260 | + | 4.30311i | −0.0882233 | + | 0.291443i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.82546 | + | 28.3564i | −0.123072 | + | 1.91179i | ||||
\(221\) | 2.09261 | − | 1.20817i | 0.140764 | − | 0.0812701i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 18.1063 | 1.21249 | 0.606245 | − | 0.795278i | \(-0.292675\pi\) | ||||
0.606245 | + | 0.795278i | \(0.292675\pi\) | |||||||
\(224\) | −1.24659 | − | 14.9146i | −0.0832911 | − | 0.996525i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.312010 | − | 0.292570i | 0.0207546 | − | 0.0194615i | ||||
\(227\) | −6.86343 | + | 3.96260i | −0.455542 | + | 0.263007i | −0.710168 | − | 0.704032i | \(-0.751381\pi\) |
0.254626 | + | 0.967040i | \(0.418048\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.07787 | + | 1.86692i | −0.0712274 | + | 0.123370i | −0.899440 | − | 0.437045i | \(-0.856025\pi\) |
0.828212 | + | 0.560415i | \(0.189358\pi\) | |||||||
\(230\) | 5.25139 | − | 17.3478i | 0.346266 | − | 1.14388i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.63201 | − | 4.63854i | 0.369760 | − | 0.304535i | ||||
\(233\) | −10.0072 | + | 17.3330i | −0.655594 | + | 1.13552i | 0.326151 | + | 0.945318i | \(0.394248\pi\) |
−0.981745 | + | 0.190204i | \(0.939085\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.19854 | + | 2.07594i | 0.0781843 | + | 0.135419i | ||||
\(236\) | −8.97493 | − | 18.1461i | −0.584219 | − | 1.18121i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.14199 | + | 1.26190i | 0.0740245 | + | 0.0817968i | ||||
\(239\) | 18.8923i | 1.22204i | 0.791614 | + | 0.611021i | \(0.209241\pi\) | ||||
−0.791614 | + | 0.611021i | \(0.790759\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.8555 | + | 9.15417i | −1.02134 | + | 0.589672i | −0.914492 | − | 0.404603i | \(-0.867410\pi\) |
−0.106849 | + | 0.994275i | \(0.534076\pi\) | |||||||
\(242\) | 6.83118 | + | 29.2205i | 0.439125 | + | 1.87836i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −8.32726 | − | 5.55010i | −0.533098 | − | 0.355309i | ||||
\(245\) | −17.5101 | − | 0.619923i | −1.11868 | − | 0.0396054i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −16.9960 | − | 9.81265i | −1.08143 | − | 0.624364i | ||||
\(248\) | −5.95677 | + | 15.9109i | −0.378255 | + | 1.01034i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.64424 | − | 9.04335i | 0.609955 | − | 0.571952i | ||||
\(251\) | 3.43251i | 0.216658i | 0.994115 | + | 0.108329i | \(0.0345500\pi\) | ||||
−0.994115 | + | 0.108329i | \(0.965450\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 29.0645i | − | 1.82727i | ||||||
\(254\) | 6.18860 | + | 6.59981i | 0.388307 | + | 0.414109i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.4739 | + | 4.06917i | 0.967119 | + | 0.254323i | ||||
\(257\) | −21.7104 | − | 12.5345i | −1.35426 | − | 0.781882i | −0.365417 | − | 0.930844i | \(-0.619073\pi\) |
−0.988843 | + | 0.148962i | \(0.952407\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −20.8652 | + | 11.5592i | −1.29650 | + | 0.718254i | ||||
\(260\) | −22.1287 | − | 14.7487i | −1.37237 | − | 0.914678i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 19.9713 | − | 4.66890i | 1.23383 | − | 0.288445i | ||||
\(263\) | 13.4314 | − | 7.75460i | 0.828214 | − | 0.478169i | −0.0250270 | − | 0.999687i | \(-0.507967\pi\) |
0.853241 | + | 0.521517i | \(0.174634\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.6397i | 0.960738i | ||||||||
\(266\) | 4.23834 | − | 13.1571i | 0.259870 | − | 0.806713i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 16.6770 | − | 8.24832i | 1.01871 | − | 0.503847i | ||||
\(269\) | −11.8667 | − | 20.5537i | −0.723523 | − | 1.25318i | −0.959579 | − | 0.281440i | \(-0.909188\pi\) |
0.236055 | − | 0.971740i | \(-0.424145\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −7.35684 | + | 12.7424i | −0.446896 | + | 0.774047i | −0.998182 | − | 0.0602693i | \(-0.980804\pi\) |
0.551286 | + | 0.834316i | \(0.314137\pi\) | |||||||
\(272\) | −1.67931 | + | 0.700175i | −0.101823 | + | 0.0424543i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.66639 | + | 0.504436i | 0.100670 | + | 0.0304741i | ||||
\(275\) | −3.59031 | + | 6.21859i | −0.216504 | + | 0.374995i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.16822 | + | 3.56123i | −0.370613 | + | 0.213973i | −0.673726 | − | 0.738981i | \(-0.735307\pi\) |
0.303113 | + | 0.952954i | \(0.401974\pi\) | |||||||
\(278\) | −15.2636 | − | 16.2778i | −0.915449 | − | 0.976277i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.87668 | − | 17.4228i | 0.410960 | − | 1.04121i | ||||
\(281\) | 13.0561 | 0.778861 | 0.389430 | − | 0.921056i | \(-0.372672\pi\) | ||||
0.389430 | + | 0.921056i | \(0.372672\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.83051 | + | 1.05685i | −0.108813 | + | 0.0628230i | −0.553419 | − | 0.832903i | \(-0.686677\pi\) |
0.444606 | + | 0.895726i | \(0.353344\pi\) | |||||||
\(284\) | 14.6744 | + | 0.944674i | 0.870767 | + | 0.0560561i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −40.8145 | − | 12.3550i | −2.41341 | − | 0.730568i | ||||
\(287\) | −10.5597 | − | 6.34836i | −0.623318 | − | 0.374732i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.39655 | + | 14.5433i | −0.493915 | + | 0.855486i | ||||
\(290\) | 8.89156 | − | 2.07867i | 0.522131 | − | 0.122064i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6.07685 | − | 12.2866i | −0.355621 | − | 0.719018i | ||||
\(293\) | 0.334002 | 0.0195126 | 0.00975630 | − | 0.999952i | \(-0.496894\pi\) | ||||
0.00975630 | + | 0.999952i | \(0.496894\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 25.3358i | − | 1.47511i | ||||||
\(296\) | −4.19774 | − | 25.1522i | −0.243988 | − | 1.46194i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −8.20130 | + | 1.91730i | −0.475089 | + | 0.111066i | ||||
\(299\) | 23.5569 | + | 13.6006i | 1.36233 | + | 0.786542i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.99893 | + | 8.31507i | −0.288134 | + | 0.479273i | ||||
\(302\) | −1.47201 | + | 4.86275i | −0.0847047 | + | 0.279820i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 11.7445 | + | 8.96856i | 0.673594 | + | 0.514382i | ||||
\(305\) | −6.26211 | − | 10.8463i | −0.358567 | − | 0.621057i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.39141i | 0.535996i | 0.963419 | + | 0.267998i | \(0.0863621\pi\) | ||||
−0.963419 | + | 0.267998i | \(0.913638\pi\) | |||||||
\(308\) | 2.45960 | − | 29.9347i | 0.140149 | − | 1.70569i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −15.5101 | + | 14.5438i | −0.880916 | + | 0.826030i | ||||
\(311\) | 7.93750 | + | 13.7482i | 0.450095 | + | 0.779587i | 0.998391 | − | 0.0566971i | \(-0.0180569\pi\) |
−0.548297 | + | 0.836284i | \(0.684724\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −27.8562 | − | 16.0828i | −1.57453 | − | 0.909054i | −0.995603 | − | 0.0936727i | \(-0.970139\pi\) |
−0.578924 | − | 0.815381i | \(-0.696527\pi\) | |||||||
\(314\) | 1.33125 | + | 0.402987i | 0.0751271 | + | 0.0227418i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 9.88627 | − | 14.8332i | 0.556146 | − | 0.834431i | ||||
\(317\) | 13.2252 | + | 7.63558i | 0.742802 | + | 0.428857i | 0.823087 | − | 0.567915i | \(-0.192250\pi\) |
−0.0802854 | + | 0.996772i | \(0.525583\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.6807 | − | 7.32121i | 0.709983 | − | 0.409909i | ||||
\(320\) | 15.1009 | + | 13.1502i | 0.844163 | + | 0.735117i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.87446 | + | 18.2361i | −0.327371 | + | 1.01626i | ||||
\(323\) | −1.68039 | −0.0934996 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.36013 | − | 5.81991i | −0.186386 | − | 0.322831i | ||||
\(326\) | 0.811814 | + | 3.47255i | 0.0449622 | + | 0.192327i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 10.1673 | − | 8.37383i | 0.561396 | − | 0.462367i | ||||
\(329\) | −1.22787 | − | 2.21640i | −0.0676947 | − | 0.122194i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.5189 | − | 18.2193i | 0.578174 | − | 1.00143i | −0.417515 | − | 0.908670i | \(-0.637099\pi\) |
0.995689 | − | 0.0927561i | \(-0.0295677\pi\) | |||||||
\(332\) | 3.91708 | + | 0.252164i | 0.214978 | + | 0.0138393i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.42872 | + | 5.09048i | −0.297046 | + | 0.278539i | ||||
\(335\) | 23.2846 | 1.27217 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.18351 | 0.0644697 | 0.0322348 | − | 0.999480i | \(-0.489738\pi\) | ||||
0.0322348 | + | 0.999480i | \(0.489738\pi\) | |||||||
\(338\) | 15.7016 | − | 14.7233i | 0.854056 | − | 0.800843i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.27232 | − | 0.146282i | −0.123234 | − | 0.00793326i | ||||
\(341\) | −17.0475 | + | 29.5271i | −0.923172 | + | 1.59898i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.4942 | + | 0.982659i | 0.998591 | + | 0.0530586i | ||||
\(344\) | −6.59386 | − | 8.00612i | −0.355517 | − | 0.431661i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.0462374 | + | 0.197781i | 0.00248574 | + | 0.0106328i | ||||
\(347\) | −2.40670 | − | 4.16854i | −0.129199 | − | 0.223779i | 0.794168 | − | 0.607699i | \(-0.207907\pi\) |
−0.923366 | + | 0.383920i | \(0.874574\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 35.4792 | 1.89916 | 0.949578 | − | 0.313530i | \(-0.101512\pi\) | ||||
0.949578 | + | 0.313530i | \(0.101512\pi\) | |||||||
\(350\) | 3.50957 | − | 3.17609i | 0.187594 | − | 0.169769i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 29.2857 | + | 13.1667i | 1.56093 | + | 0.701786i | ||||
\(353\) | 4.13712 | − | 2.38857i | 0.220197 | − | 0.127131i | −0.385845 | − | 0.922564i | \(-0.626090\pi\) |
0.606041 | + | 0.795433i | \(0.292757\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 15.9375 | + | 9.20155i | 0.845877 | + | 0.488367i | ||||
\(356\) | −7.57416 | + | 11.3641i | −0.401430 | + | 0.602297i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −25.6158 | − | 7.75419i | −1.35383 | − | 0.409822i | ||||
\(359\) | 31.9690 | + | 18.4573i | 1.68726 | + | 0.974140i | 0.956603 | + | 0.291394i | \(0.0941192\pi\) |
0.730656 | + | 0.682745i | \(0.239214\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.67598 | − | 4.63493i | −0.140841 | − | 0.243943i | ||||
\(362\) | −22.9288 | + | 21.5002i | −1.20511 | + | 1.13003i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 23.1112 | + | 16.0013i | 1.21136 | + | 0.838695i | ||||
\(365\) | − | 17.1547i | − | 0.897916i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.284416 | − | 0.492623i | −0.0148464 | − | 0.0257147i | 0.858507 | − | 0.512802i | \(-0.171393\pi\) |
−0.873353 | + | 0.487088i | \(0.838059\pi\) | |||||||
\(368\) | −16.2782 | − | 12.4307i | −0.848560 | − | 0.647993i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 9.24623 | − | 30.5447i | 0.480689 | − | 1.58794i | ||||
\(371\) | 0.292503 | − | 16.5290i | 0.0151860 | − | 0.858143i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −20.2929 | − | 11.7161i | −1.05073 | − | 0.606638i | −0.127874 | − | 0.991790i | \(-0.540815\pi\) |
−0.922853 | + | 0.385153i | \(0.874149\pi\) | |||||||
\(374\) | −3.55544 | + | 0.831191i | −0.183847 | + | 0.0429799i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.67178 | − | 0.445902i | 0.137787 | − | 0.0229956i | ||||
\(377\) | 13.7037i | 0.705775i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −14.7240 | −0.756320 | −0.378160 | − | 0.925740i | \(-0.623443\pi\) | ||||
−0.378160 | + | 0.925740i | \(0.623443\pi\) | |||||||
\(380\) | 8.19890 | + | 16.5771i | 0.420595 | + | 0.850387i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −16.2371 | + | 3.79592i | −0.830762 | + | 0.194216i | ||||
\(383\) | −2.49754 | + | 4.32587i | −0.127618 | + | 0.221042i | −0.922753 | − | 0.385391i | \(-0.874067\pi\) |
0.795135 | + | 0.606432i | \(0.207400\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 19.3678 | − | 32.2159i | 0.987077 | − | 1.64187i | ||||
\(386\) | −36.3057 | − | 10.9902i | −1.84791 | − | 0.559385i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −7.41006 | − | 0.477027i | −0.376189 | − | 0.0242174i | ||||
\(389\) | −27.6098 | + | 15.9405i | −1.39987 | + | 0.808216i | −0.994379 | − | 0.105883i | \(-0.966233\pi\) |
−0.405492 | + | 0.914099i | \(0.632900\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.32907 | 0.117786 | ||||||||
\(392\) | −7.59356 | + | 18.2849i | −0.383533 | + | 0.923527i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −16.0426 | − | 17.1086i | −0.808215 | − | 0.861917i | ||||
\(395\) | 19.3203 | − | 11.1546i | 0.972108 | − | 0.561247i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −16.4530 | + | 28.4975i | −0.825753 | + | 1.43025i | 0.0755896 | + | 0.997139i | \(0.475916\pi\) |
−0.901343 | + | 0.433107i | \(0.857417\pi\) | |||||||
\(398\) | −15.4419 | − | 4.67445i | −0.774033 | − | 0.234309i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.94731 | + | 4.67047i | 0.0973655 | + | 0.233523i | ||||
\(401\) | 0.106236 | − | 0.184006i | 0.00530517 | − | 0.00918883i | −0.863361 | − | 0.504587i | \(-0.831645\pi\) |
0.868666 | + | 0.495399i | \(0.164978\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −15.9545 | − | 27.6341i | −0.794752 | − | 1.37655i | ||||
\(404\) | 10.1854 | − | 5.03762i | 0.506742 | − | 0.250631i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −9.43605 | + | 2.03058i | −0.468303 | + | 0.100776i | ||||
\(407\) | − | 51.1745i | − | 2.53663i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.7288 | − | 10.2357i | 0.876633 | − | 0.506124i | 0.00708628 | − | 0.999975i | \(-0.497744\pi\) |
0.869547 | + | 0.493851i | \(0.164411\pi\) | |||||||
\(410\) | 16.0517 | − | 3.75257i | 0.792737 | − | 0.185326i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 9.83046 | + | 6.55198i | 0.484312 | + | 0.322793i | ||||
\(413\) | −0.473847 | + | 26.7765i | −0.0233165 | + | 1.31759i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.25425 | + | 2.45619i | 0.208833 | + | 0.120570i | ||||
\(416\) | −24.3757 | + | 17.5749i | −1.19512 | + | 0.861679i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 20.2849 | + | 21.6328i | 0.992169 | + | 1.05809i | ||||
\(419\) | − | 11.8439i | − | 0.578614i | −0.957236 | − | 0.289307i | \(-0.906575\pi\) | ||
0.957236 | − | 0.289307i | \(-0.0934248\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 21.7928i | 1.06211i | 0.847336 | + | 0.531057i | \(0.178205\pi\) | ||||
−0.847336 | + | 0.531057i | \(0.821795\pi\) | |||||||
\(422\) | −4.26369 | + | 3.99804i | −0.207553 | + | 0.194621i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 16.5511 | + | 6.19646i | 0.803793 | + | 0.300927i | ||||
\(425\) | −0.498323 | − | 0.287707i | −0.0241722 | − | 0.0139558i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.41534 | + | 11.5802i | 0.310460 | + | 0.560404i | ||||
\(428\) | 17.7422 | + | 11.8251i | 0.857601 | + | 0.571589i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.95491 | − | 12.6397i | −0.142499 | − | 0.609540i | ||||
\(431\) | −14.3234 | + | 8.26964i | −0.689936 | + | 0.398335i | −0.803588 | − | 0.595186i | \(-0.797078\pi\) |
0.113652 | + | 0.993521i | \(0.463745\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 39.2724i | 1.88731i | 0.330929 | + | 0.943656i | \(0.392638\pi\) | ||||
−0.330929 | + | 0.943656i | \(0.607362\pi\) | |||||||
\(434\) | 16.6641 | − | 15.0807i | 0.799903 | − | 0.723897i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.81880 | + | 5.69924i | 0.134996 | + | 0.272944i | ||||
\(437\) | −9.45828 | − | 16.3822i | −0.452451 | − | 0.783668i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.5165 | − | 26.8754i | 0.740564 | − | 1.28269i | −0.211674 | − | 0.977340i | \(-0.567892\pi\) |
0.952239 | − | 0.305355i | \(-0.0987750\pi\) | |||||||
\(440\) | 25.5472 | + | 31.0189i | 1.21792 | + | 1.47877i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.990063 | − | 3.27064i | 0.0470925 | − | 0.155569i | ||||
\(443\) | −0.422464 | + | 0.731729i | −0.0200719 | + | 0.0347655i | −0.875887 | − | 0.482517i | \(-0.839723\pi\) |
0.855815 | + | 0.517282i | \(0.173056\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −14.8018 | + | 8.54583i | −0.701673 | + | 0.405111i | ||||
\(446\) | 18.6789 | − | 17.5151i | 0.884470 | − | 0.829363i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −15.7136 | − | 14.1804i | −0.742398 | − | 0.669959i | ||||
\(449\) | 41.7433 | 1.96999 | 0.984995 | − | 0.172585i | \(-0.0552119\pi\) | ||||
0.984995 | + | 0.172585i | \(0.0552119\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 22.8921 | − | 13.2168i | 1.07795 | − | 0.622354i | ||||
\(452\) | 0.0388599 | − | 0.603643i | 0.00182782 | − | 0.0283930i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.24726 | + | 10.7272i | −0.152401 | + | 0.503453i | ||||
\(455\) | 17.0480 | + | 30.7730i | 0.799224 | + | 1.44266i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.74286 | − | 6.48282i | 0.175083 | − | 0.303254i | −0.765107 | − | 0.643904i | \(-0.777314\pi\) |
0.940190 | + | 0.340650i | \(0.110647\pi\) | |||||||
\(458\) | 0.694006 | + | 2.96862i | 0.0324288 | + | 0.138715i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −11.3639 | − | 22.9763i | −0.529844 | − | 1.07128i | ||||
\(461\) | 4.33499 | 0.201901 | 0.100950 | − | 0.994891i | \(-0.467812\pi\) | ||||
0.100950 | + | 0.994891i | \(0.467812\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 35.3200i | 1.64146i | 0.571316 | + | 0.820730i | \(0.306433\pi\) | ||||
−0.571316 | + | 0.820730i | \(0.693567\pi\) | |||||||
\(464\) | 1.32303 | − | 10.2333i | 0.0614203 | − | 0.475070i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.44334 | + | 27.5615i | 0.298482 | + | 1.27676i | ||||
\(467\) | −9.09213 | − | 5.24934i | −0.420733 | − | 0.242911i | 0.274658 | − | 0.961542i | \(-0.411435\pi\) |
−0.695391 | + | 0.718632i | \(0.744769\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −24.6087 | − | 0.435484i | −1.13632 | − | 0.0201088i | ||||
\(470\) | 3.24459 | + | 0.982175i | 0.149662 | + | 0.0453044i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −26.8123 | − | 10.0381i | −1.23414 | − | 0.462040i | ||||
\(473\) | −10.4074 | − | 18.0261i | −0.478532 | − | 0.828841i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.67348i | 0.214434i | ||||||||
\(476\) | 2.39880 | + | 0.197099i | 0.109949 | + | 0.00903400i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 18.2754 | + | 19.4897i | 0.835897 | + | 0.891439i | ||||
\(479\) | 8.46375 | + | 14.6596i | 0.386719 | + | 0.669816i | 0.992006 | − | 0.126191i | \(-0.0402752\pi\) |
−0.605287 | + | 0.796007i | \(0.706942\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 41.4771 | + | 23.9468i | 1.89119 | + | 1.09188i | ||||
\(482\) | −7.50161 | + | 24.7814i | −0.341689 | + | 1.12876i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 35.3135 | + | 23.5364i | 1.60516 | + | 1.06983i | ||||
\(485\) | −8.04790 | − | 4.64645i | −0.365436 | − | 0.210985i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −20.5482 | + | 11.8635i | −0.931127 | + | 0.537586i | −0.887168 | − | 0.461447i | \(-0.847330\pi\) |
−0.0439591 | + | 0.999033i | \(0.513997\pi\) | |||||||
\(488\) | −13.9594 | + | 2.32974i | −0.631914 | + | 0.105462i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −18.6634 | + | 16.2988i | −0.843129 | + | 0.736303i | ||||
\(491\) | 3.41198 | 0.153980 | 0.0769901 | − | 0.997032i | \(-0.475469\pi\) | ||||
0.0769901 | + | 0.997032i | \(0.475469\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.586681 | + | 1.01616i | 0.0264228 | + | 0.0457656i | ||||
\(494\) | −27.0257 | + | 6.31807i | −1.21594 | + | 0.284264i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 9.24621 | + | 22.1763i | 0.415167 | + | 0.995744i | ||||
\(497\) | −16.6717 | − | 10.0229i | −0.747829 | − | 0.449587i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8.72998 | − | 15.1208i | 0.390808 | − | 0.676899i | −0.601749 | − | 0.798686i | \(-0.705529\pi\) |
0.992556 | + | 0.121787i | \(0.0388624\pi\) | |||||||
\(500\) | 1.20116 | − | 18.6586i | 0.0537175 | − | 0.834439i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.32043 | + | 3.54105i | 0.148198 | + | 0.158045i | ||||
\(503\) | 7.08646 | 0.315970 | 0.157985 | − | 0.987442i | \(-0.449500\pi\) | ||||
0.157985 | + | 0.987442i | \(0.449500\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 14.2209 | 0.632824 | ||||||||
\(506\) | −28.1155 | − | 29.9836i | −1.24988 | − | 1.33293i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 12.7686 | + | 0.821985i | 0.566514 | + | 0.0364697i | ||||
\(509\) | 18.9653 | − | 32.8488i | 0.840622 | − | 1.45600i | −0.0487485 | − | 0.998811i | \(-0.515523\pi\) |
0.889370 | − | 0.457188i | \(-0.151143\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.320837 | + | 18.1301i | −0.0141930 | + | 0.802030i | ||||
\(512\) | 19.8995 | − | 10.7708i | 0.879442 | − | 0.476006i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −34.5222 | + | 8.07061i | −1.52271 | + | 0.355979i | ||||
\(515\) | 7.39252 | + | 12.8042i | 0.325753 | + | 0.564221i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.43598 | 0.239074 | ||||||||
\(518\) | −10.3433 | + | 32.1086i | −0.454457 | + | 1.41077i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −37.0956 | + | 6.19100i | −1.62675 | + | 0.271494i | ||||
\(521\) | −6.91166 | + | 3.99045i | −0.302805 | + | 0.174825i | −0.643702 | − | 0.765276i | \(-0.722603\pi\) |
0.340897 | + | 0.940101i | \(0.389269\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.3267 | + | 7.11681i | 0.539008 | + | 0.311196i | 0.744677 | − | 0.667425i | \(-0.232604\pi\) |
−0.205669 | + | 0.978622i | \(0.565937\pi\) | |||||||
\(524\) | 16.0864 | − | 24.1357i | 0.702736 | − | 1.05437i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.35470 | − | 20.9926i | 0.277078 | − | 0.915320i | ||||
\(527\) | −2.36614 | − | 1.36609i | −0.103071 | − | 0.0595078i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.60942 | + | 2.78759i | 0.0699747 | + | 0.121200i | ||||
\(530\) | 15.1290 | + | 16.1342i | 0.657161 | + | 0.700826i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −8.35509 | − | 17.6731i | −0.362239 | − | 0.766225i | ||||
\(533\) | 24.7389i | 1.07156i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13.3421 | + | 23.1093i | 0.576831 | + | 0.999101i | ||||
\(536\) | 9.22540 | − | 24.6416i | 0.398476 | − | 1.06435i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −32.1244 | − | 9.72444i | −1.38498 | − | 0.419250i | ||||
\(539\) | −21.0717 | + | 33.6856i | −0.907622 | + | 1.45094i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.43282 | + | 3.71399i | 0.276569 | + | 0.159677i | 0.631869 | − | 0.775075i | \(-0.282288\pi\) |
−0.355300 | + | 0.934752i | \(0.615621\pi\) | |||||||
\(542\) | 4.73685 | + | 20.2620i | 0.203465 | + | 0.870326i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.05510 | + | 2.34679i | −0.0452372 | + | 0.100618i | ||||
\(545\) | 7.95734i | 0.340855i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −28.2287 | −1.20697 | −0.603485 | − | 0.797374i | \(-0.706222\pi\) | ||||
−0.603485 | + | 0.797374i | \(0.706222\pi\) | |||||||
\(548\) | 2.20705 | − | 1.09159i | 0.0942803 | − | 0.0466303i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.31169 | + | 9.88830i | 0.0985708 | + | 0.421638i | ||||
\(551\) | 4.76498 | − | 8.25319i | 0.202995 | − | 0.351598i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −20.6275 | + | 11.4275i | −0.877171 | + | 0.485947i | ||||
\(554\) | −2.91834 | + | 9.64064i | −0.123988 | + | 0.409592i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −31.4925 | − | 2.02735i | −1.33558 | − | 0.0859787i | ||||
\(557\) | 29.9378 | − | 17.2846i | 1.26850 | − | 0.732371i | 0.293799 | − | 0.955867i | \(-0.405080\pi\) |
0.974705 | + | 0.223496i | \(0.0717470\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 19.4803 | 0.823929 | ||||||||
\(560\) | −9.75973 | − | 24.6258i | −0.412424 | − | 1.04063i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 13.4689 | − | 12.6297i | 0.568153 | − | 0.532754i | ||||
\(563\) | 10.1504 | − | 5.86033i | 0.427788 | − | 0.246983i | −0.270616 | − | 0.962687i | \(-0.587227\pi\) |
0.698404 | + | 0.715704i | \(0.253894\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.378513 | − | 0.655603i | 0.0159242 | − | 0.0275814i | ||||
\(566\) | −0.866059 | + | 2.86100i | −0.0364032 | + | 0.120257i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 16.0523 | − | 13.2207i | 0.673538 | − | 0.554728i | ||||
\(569\) | −5.55324 | + | 9.61849i | −0.232804 | + | 0.403228i | −0.958632 | − | 0.284648i | \(-0.908123\pi\) |
0.725828 | + | 0.687876i | \(0.241457\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.7557 | + | 30.7537i | 0.743052 | + | 1.28700i | 0.951099 | + | 0.308885i | \(0.0999558\pi\) |
−0.208047 | + | 0.978119i | \(0.566711\pi\) | |||||||
\(572\) | −54.0567 | + | 26.7360i | −2.26022 | + | 1.11789i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −17.0346 | + | 3.66575i | −0.711012 | + | 0.153005i | ||||
\(575\) | − | 6.47756i | − | 0.270133i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −23.4304 | + | 13.5276i | −0.975421 | + | 0.563159i | −0.900885 | − | 0.434059i | \(-0.857081\pi\) |
−0.0745363 | + | 0.997218i | \(0.523748\pi\) | |||||||
\(578\) | 5.40629 | + | 23.1255i | 0.224872 | + | 0.961894i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 7.16193 | − | 10.7456i | 0.297383 | − | 0.446188i | ||||
\(581\) | −4.45023 | − | 2.67543i | −0.184627 | − | 0.110995i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 30.7152 | + | 17.7334i | 1.27209 | + | 0.734443i | ||||
\(584\) | −18.1544 | − | 6.79669i | −0.751234 | − | 0.281249i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.344563 | − | 0.323095i | 0.0142338 | − | 0.0133469i | ||||
\(587\) | − | 35.3797i | − | 1.46027i | −0.683300 | − | 0.730137i | \(-0.739456\pi\) | ||
0.683300 | − | 0.730137i | \(-0.260544\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.1906i | 0.914347i | ||||||||
\(590\) | −24.5085 | − | 26.1370i | −1.00900 | − | 1.07604i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −28.6614 | − | 21.8869i | −1.17797 | − | 0.899546i | ||||
\(593\) | 33.9659 | + | 19.6102i | 1.39481 | + | 0.805294i | 0.993843 | − | 0.110798i | \(-0.0353406\pi\) |
0.400968 | + | 0.916092i | \(0.368674\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.58160 | + | 1.55203i | 0.105835 | + | 0.0636271i | ||||
\(596\) | −6.60594 | + | 9.91142i | −0.270590 | + | 0.405988i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 37.4583 | − | 8.75702i | 1.53178 | − | 0.358101i | ||||
\(599\) | −41.2853 | + | 23.8361i | −1.68687 | + | 0.973916i | −0.729982 | + | 0.683466i | \(0.760472\pi\) |
−0.956890 | + | 0.290450i | \(0.906195\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.4207i | 0.547442i | 0.961809 | + | 0.273721i | \(0.0882544\pi\) | ||||
−0.961809 | + | 0.273721i | \(0.911746\pi\) | |||||||
\(602\) | 2.88655 | + | 13.4137i | 0.117647 | + | 0.546702i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.18540 | + | 6.44046i | 0.129612 | + | 0.262058i | ||||
\(605\) | 26.5558 | + | 45.9960i | 1.07965 | + | 1.87000i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 19.1391 | − | 33.1498i | 0.776831 | − | 1.34551i | −0.156929 | − | 0.987610i | \(-0.550159\pi\) |
0.933760 | − | 0.357901i | \(-0.116507\pi\) | |||||||
\(608\) | 20.7916 | − | 2.10885i | 0.843210 | − | 0.0855251i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −16.9522 | − | 5.13164i | −0.686376 | − | 0.207774i | ||||
\(611\) | −2.54374 | + | 4.40588i | −0.102909 | + | 0.178243i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −16.9225 | + | 9.77021i | −0.683493 | + | 0.394615i | −0.801170 | − | 0.598437i | \(-0.795789\pi\) |
0.117677 | + | 0.993052i | \(0.462455\pi\) | |||||||
\(614\) | 9.08474 | + | 9.68838i | 0.366630 | + | 0.390991i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −26.4198 | − | 33.2605i | −1.06448 | − | 1.34011i | ||||
\(617\) | 1.16195 | 0.0467785 | 0.0233892 | − | 0.999726i | \(-0.492554\pi\) | ||||
0.0233892 | + | 0.999726i | \(0.492554\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 31.0842 | − | 17.9465i | 1.24938 | − | 0.721330i | 0.278394 | − | 0.960467i | \(-0.410198\pi\) |
0.970986 | + | 0.239137i | \(0.0768645\pi\) | |||||||
\(620\) | −1.93174 | + | 30.0073i | −0.0775805 | + | 1.20512i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 21.4877 | + | 6.50459i | 0.861579 | + | 0.260810i | ||||
\(623\) | 15.8033 | − | 8.75495i | 0.633147 | − | 0.350759i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.8624 | − | 25.7425i | 0.594498 | − | 1.02970i | ||||
\(626\) | −44.2947 | + | 10.3552i | −1.77037 | + | 0.413879i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.76318 | − | 0.872054i | 0.0703585 | − | 0.0347987i | ||||
\(629\) | 4.10084 | 0.163511 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.26460i | 0.329008i | 0.986376 | + | 0.164504i | \(0.0526024\pi\) | ||||
−0.986376 | + | 0.164504i | \(0.947398\pi\) | |||||||
\(632\) | −4.14991 | − | 24.8657i | −0.165075 | − | 0.989103i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 21.0296 | − | 4.91632i | 0.835194 | − | 0.195252i | ||||
\(635\) | 13.8677 | + | 8.00650i | 0.550322 | + | 0.317728i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −17.4419 | − | 32.8417i | −0.691074 | − | 1.30123i | ||||
\(638\) | 5.99955 | − | 19.8193i | 0.237524 | − | 0.784655i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 28.2991 | − | 1.04175i | 1.11862 | − | 0.0411787i | ||||
\(641\) | 14.4955 | + | 25.1070i | 0.572539 | + | 0.991666i | 0.996304 | + | 0.0858940i | \(0.0273747\pi\) |
−0.423766 | + | 0.905772i | \(0.639292\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 39.1239i | − | 1.54289i | −0.636293 | − | 0.771447i | \(-0.719533\pi\) | ||
0.636293 | − | 0.771447i | \(-0.280467\pi\) | |||||||
\(644\) | 11.5804 | + | 24.4954i | 0.456331 | + | 0.965252i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.73353 | + | 1.62552i | −0.0682049 | + | 0.0639553i | ||||
\(647\) | 6.09491 | + | 10.5567i | 0.239616 | + | 0.415027i | 0.960604 | − | 0.277921i | \(-0.0896452\pi\) |
−0.720988 | + | 0.692947i | \(0.756312\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −49.7577 | − | 28.7276i | −1.95316 | − | 1.12766i | ||||
\(650\) | −9.09624 | − | 2.75354i | −0.356784 | − | 0.108003i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.19664 | + | 2.79705i | 0.164353 | + | 0.109541i | ||||
\(653\) | 8.80194 | + | 5.08180i | 0.344446 | + | 0.198866i | 0.662237 | − | 0.749295i | \(-0.269607\pi\) |
−0.317790 | + | 0.948161i | \(0.602941\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 31.4368 | − | 18.1500i | 1.22834 | − | 0.709181i | ||||
\(656\) | 2.38844 | − | 18.4739i | 0.0932528 | − | 0.721286i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.41072 | − | 1.09871i | −0.132964 | − | 0.0428321i | ||||
\(659\) | 8.28558 | 0.322760 | 0.161380 | − | 0.986892i | \(-0.448405\pi\) | ||||
0.161380 | + | 0.986892i | \(0.448405\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.30890 | − | 14.3914i | −0.323179 | − | 0.559762i | 0.657963 | − | 0.753050i | \(-0.271418\pi\) |
−0.981142 | + | 0.193288i | \(0.938085\pi\) | |||||||
\(662\) | −6.77284 | − | 28.9709i | −0.263234 | − | 1.12599i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.28487 | − | 3.52903i | 0.166285 | − | 0.136953i | ||||
\(665\) | 0.432875 | − | 24.4612i | 0.0167862 | − | 0.948566i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.60439 | + | 11.4391i | −0.255723 | + | 0.442925i | ||||
\(668\) | −0.676130 | + | 10.5029i | −0.0261603 | + | 0.406369i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 24.0209 | − | 22.5243i | 0.928009 | − | 0.870189i | ||||
\(671\) | −28.4018 | −1.09644 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.1599 | 0.507278 | 0.253639 | − | 0.967299i | \(-0.418372\pi\) | ||||
0.253639 | + | 0.967299i | \(0.418372\pi\) | |||||||
\(674\) | 1.22093 | − | 1.14486i | 0.0470285 | − | 0.0440983i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.95559 | − | 30.3778i | 0.0752149 | − | 1.16838i | ||||
\(677\) | −10.2201 | + | 17.7017i | −0.392790 | + | 0.680332i | −0.992816 | − | 0.119648i | \(-0.961823\pi\) |
0.600026 | + | 0.799980i | \(0.295157\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 8.41863 | + | 5.06119i | 0.323077 | + | 0.194231i | ||||
\(680\) | −2.48568 | + | 2.04721i | −0.0953215 | + | 0.0785070i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 10.9764 | + | 46.9516i | 0.420307 | + | 1.79787i | ||||
\(683\) | −7.87273 | − | 13.6360i | −0.301242 | − | 0.521766i | 0.675176 | − | 0.737657i | \(-0.264068\pi\) |
−0.976418 | + | 0.215891i | \(0.930734\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.08150 | 0.117738 | ||||||||
\(686\) | 20.0296 | − | 16.8765i | 0.764732 | − | 0.644349i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −14.5470 | − | 1.88074i | −0.554601 | − | 0.0717026i | ||||
\(689\) | −28.7460 | + | 16.5965i | −1.09514 | + | 0.632277i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.76346 | + | 1.59549i | 0.105127 | + | 0.0606952i | 0.551642 | − | 0.834081i | \(-0.314002\pi\) |
−0.446515 | + | 0.894776i | \(0.647335\pi\) | |||||||
\(692\) | 0.239022 | + | 0.159308i | 0.00908626 | + | 0.00605597i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.51522 | − | 1.97223i | −0.247314 | − | 0.0748650i | ||||
\(695\) | −34.2033 | − | 19.7473i | −1.29740 | − | 0.749057i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.05912 | + | 1.83445i | 0.0401170 | + | 0.0694847i | ||||
\(698\) | 36.6011 | − | 34.3206i | 1.38537 | − | 1.29905i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.548166 | − | 6.67149i | 0.0207187 | − | 0.252158i | ||||
\(701\) | 39.2121i | 1.48102i | 0.672045 | + | 0.740511i | \(0.265416\pi\) | ||||
−0.672045 | + | 0.740511i | \(0.734584\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −16.6534 | − | 28.8445i | −0.628094 | − | 1.08789i | ||||
\(704\) | 42.9484 | − | 14.7463i | 1.61868 | − | 0.555774i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.95737 | − | 6.46612i | 0.0736666 | − | 0.243356i | ||||
\(707\) | −15.0296 | − | 0.265969i | −0.565246 | − | 0.0100028i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −33.3653 | − | 19.2635i | −1.25306 | − | 0.723454i | −0.281343 | − | 0.959607i | \(-0.590780\pi\) |
−0.971716 | + | 0.236153i | \(0.924113\pi\) | |||||||
\(710\) | 25.3426 | − | 5.92460i | 0.951091 | − | 0.222346i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.17936 | + | 19.0503i | 0.119152 | + | 0.713940i | ||||
\(713\) | − | 30.7567i | − | 1.15185i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −75.4744 | −2.82258 | ||||||||
\(716\) | −33.9267 | + | 16.7799i | −1.26790 | + | 0.627094i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 50.8345 | − | 11.8841i | 1.89713 | − | 0.443511i | ||||
\(719\) | 11.5009 | − | 19.9202i | 0.428912 | − | 0.742897i | −0.567865 | − | 0.823122i | \(-0.692230\pi\) |
0.996777 | + | 0.0802246i | \(0.0255637\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.57341 | − | 13.6706i | −0.282049 | − | 0.509119i | ||||
\(722\) | −7.24417 | − | 2.19289i | −0.269600 | − | 0.0816111i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.85571 | + | 44.3602i | −0.106132 | + | 1.64863i | ||||
\(725\) | 2.82613 | − | 1.63166i | 0.104960 | − | 0.0605985i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −21.8433 | −0.810125 | −0.405062 | − | 0.914289i | \(-0.632750\pi\) | ||||
−0.405062 | + | 0.914289i | \(0.632750\pi\) | |||||||
\(728\) | 39.3208 | − | 5.84926i | 1.45733 | − | 0.216788i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −16.5945 | − | 17.6971i | −0.614189 | − | 0.654999i | ||||
\(731\) | 1.44451 | − | 0.833989i | 0.0534272 | − | 0.0308462i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.0681 | − | 41.6871i | 0.888974 | − | 1.53975i | 0.0478850 | − | 0.998853i | \(-0.484752\pi\) |
0.841089 | − | 0.540896i | \(-0.181915\pi\) | |||||||
\(734\) | −0.769946 | − | 0.233072i | −0.0284192 | − | 0.00860283i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −28.8177 | + | 2.92292i | −1.06223 | + | 0.107740i | ||||
\(737\) | 26.4018 | − | 45.7293i | 0.972524 | − | 1.68446i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.23455 | + | 5.60241i | 0.118985 | + | 0.206088i | 0.919366 | − | 0.393404i | \(-0.128703\pi\) |
−0.800381 | + | 0.599492i | \(0.795369\pi\) | |||||||
\(740\) | −20.0086 | − | 40.4548i | −0.735532 | − | 1.48715i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −15.6875 | − | 17.3346i | −0.575907 | − | 0.636374i | ||||
\(743\) | 16.6709i | 0.611597i | 0.952096 | + | 0.305798i | \(0.0989234\pi\) | ||||
−0.952096 | + | 0.305798i | \(0.901077\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12.9097 | + | 7.45340i | −0.472974 | + | 0.273072i | ||||
\(746\) | −32.2681 | + | 7.54366i | −1.18142 | + | 0.276193i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.86381 | + | 4.29681i | −0.104711 | + | 0.157107i | ||||
\(749\) | −13.6686 | − | 24.6729i | −0.499441 | − | 0.901528i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −21.2698 | − | 12.2801i | −0.776145 | − | 0.448108i | 0.0589171 | − | 0.998263i | \(-0.481235\pi\) |
−0.835062 | + | 0.550155i | \(0.814569\pi\) | |||||||
\(752\) | 2.32492 | − | 3.04454i | 0.0847813 | − | 0.111023i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 13.2562 | + | 14.1370i | 0.482762 | + | 0.514839i | ||||
\(755\) | 8.99223i | 0.327261i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.80888i | 0.102091i | 0.998696 | + | 0.0510453i | \(0.0162553\pi\) | ||||
−0.998696 | + | 0.0510453i | \(0.983745\pi\) | |||||||
\(758\) | −15.1896 | + | 14.2432i | −0.551710 | + | 0.517335i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 24.4940 | + | 9.17012i | 0.888489 | + | 0.332635i | ||||
\(761\) | 17.4708 | + | 10.0868i | 0.633317 | + | 0.365646i | 0.782036 | − | 0.623234i | \(-0.214181\pi\) |
−0.148718 | + | 0.988880i | \(0.547515\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.148823 | − | 8.40982i | 0.00538776 | − | 0.304456i | ||||
\(764\) | −13.0786 | + | 19.6228i | −0.473166 | + | 0.709929i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.60809 | + | 6.87864i | 0.0581028 | + | 0.248536i | ||||
\(767\) | 46.5677 | − | 26.8859i | 1.68146 | − | 0.970792i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 32.1388i | 1.15895i | 0.814988 | + | 0.579477i | \(0.196743\pi\) | ||||
−0.814988 | + | 0.579477i | \(0.803257\pi\) | |||||||
\(770\) | −11.1836 | − | 51.9700i | −0.403030 | − | 1.87287i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −48.0850 | + | 23.7825i | −1.73062 | + | 0.855950i | ||||
\(773\) | −11.2931 | − | 19.5603i | −0.406186 | − | 0.703534i | 0.588273 | − | 0.808662i | \(-0.299808\pi\) |
−0.994459 | + | 0.105128i | \(0.966475\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.79934 | + | 6.58065i | −0.136476 | + | 0.236384i | ||||
\(776\) | −8.10583 | + | 6.67598i | −0.290982 | + | 0.239654i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −13.0628 | + | 43.1528i | −0.468326 | + | 1.54710i | ||||
\(779\) | 8.60209 | − | 14.8993i | 0.308202 | − | 0.533822i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 36.1423 | − | 20.8668i | 1.29327 | − | 0.746673i | ||||
\(782\) | 2.40272 | − | 2.25302i | 0.0859210 | − | 0.0805677i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 9.85414 | + | 26.2087i | 0.351934 | + | 0.936025i | ||||
\(785\) | 2.46177 | 0.0878642 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −29.2593 | + | 16.8929i | −1.04298 | + | 0.602166i | −0.920677 | − | 0.390326i | \(-0.872362\pi\) |
−0.122306 | + | 0.992492i | \(0.539029\pi\) | |||||||
\(788\) | −33.0998 | − | 2.13082i | −1.17913 | − | 0.0759073i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 9.14088 | − | 30.1967i | 0.325218 | − | 1.07435i | ||||
\(791\) | −0.412298 | + | 0.685804i | −0.0146596 | + | 0.0243844i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 13.2905 | − | 23.0197i | 0.471958 | − | 0.817455i | ||||
\(794\) | 10.5936 | + | 45.3143i | 0.375953 | + | 1.60815i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −20.4520 | + | 10.1154i | −0.724902 | + | 0.358531i | ||||
\(797\) | 27.0472 | 0.958061 | 0.479030 | − | 0.877798i | \(-0.340988\pi\) | ||||
0.479030 | + | 0.877798i | \(0.340988\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.435609i | 0.0154108i | ||||||||
\(800\) | 6.52684 | + | 2.93443i | 0.230759 | + | 0.103748i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.0684022 | − | 0.292591i | −0.00241536 | − | 0.0103318i | ||||
\(803\) | −33.6905 | − | 19.4512i | −1.18891 | − | 0.686418i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.599976 | + | 33.9039i | −0.0211464 | + | 1.19496i | ||||
\(806\) | −43.1907 | − | 13.0743i | −1.52133 | − | 0.460524i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 5.63436 | − | 15.0497i | 0.198216 | − | 0.529447i | ||||
\(809\) | −24.9224 | − | 43.1669i | −0.876226 | − | 1.51767i | −0.855451 | − | 0.517884i | \(-0.826720\pi\) |
−0.0207751 | − | 0.999784i | \(-0.506613\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 36.5330i | − | 1.28285i | −0.767188 | − | 0.641423i | \(-0.778345\pi\) | ||
0.767188 | − | 0.641423i | \(-0.221655\pi\) | |||||||
\(812\) | −7.77016 | + | 11.2227i | −0.272679 | + | 0.393840i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −49.5034 | − | 52.7927i | −1.73509 | − | 1.85038i | ||||
\(815\) | 3.15588 | + | 5.46614i | 0.110546 | + | 0.191470i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −11.7322 | − | 6.77360i | −0.410459 | − | 0.236978i | ||||
\(818\) | 8.38793 | − | 27.7093i | 0.293277 | − | 0.968832i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 12.9292 | − | 19.3988i | 0.451509 | − | 0.677435i | ||||
\(821\) | −2.59911 | − | 1.50060i | −0.0907095 | − | 0.0523711i | 0.453959 | − | 0.891023i | \(-0.350011\pi\) |
−0.544669 | + | 0.838651i | \(0.683345\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.8543 | + | 7.99877i | −0.482930 | + | 0.278820i | −0.721637 | − | 0.692272i | \(-0.756610\pi\) |
0.238707 | + | 0.971092i | \(0.423277\pi\) | |||||||
\(824\) | 16.4793 | − | 2.75029i | 0.574085 | − | 0.0958109i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 25.4133 | + | 28.0816i | 0.884242 | + | 0.977083i | ||||
\(827\) | −4.57856 | −0.159212 | −0.0796060 | − | 0.996826i | \(-0.525366\pi\) | ||||
−0.0796060 | + | 0.996826i | \(0.525366\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.53077 | + | 2.65136i | 0.0531657 | + | 0.0920857i | 0.891383 | − | 0.453250i | \(-0.149736\pi\) |
−0.838218 | + | 0.545336i | \(0.816402\pi\) | |||||||
\(830\) | 6.76477 | − | 1.58147i | 0.234808 | − | 0.0548936i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −8.14552 | + | 41.7103i | −0.282395 | + | 1.44605i | ||||
\(833\) | −2.69938 | − | 1.68857i | −0.0935279 | − | 0.0585054i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.58581 | + | 11.4070i | −0.227911 | + | 0.394754i | ||||
\(836\) | 41.8527 | + | 2.69429i | 1.44751 | + | 0.0931841i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −11.4572 | − | 12.2184i | −0.395781 | − | 0.422079i | ||||
\(839\) | −39.0864 | −1.34941 | −0.674706 | − | 0.738087i | \(-0.735730\pi\) | ||||
−0.674706 | + | 0.738087i | \(0.735730\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 22.3456 | 0.770536 | ||||||||
\(842\) | 21.0811 | + | 22.4819i | 0.726504 | + | 0.774777i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.531029 | + | 8.24892i | −0.0182788 | + | 0.283940i | ||||
\(845\) | 19.0483 | − | 32.9926i | 0.655281 | − | 1.13498i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −27.2056 | − | 49.1081i | −0.934795 | − | 1.68738i | ||||
\(848\) | 23.0686 | − | 9.61825i | 0.792179 | − | 0.330292i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.792393 | + | 0.185246i | −0.0271789 | + | 0.00635389i | ||||
\(851\) | 23.0820 | + | 39.9792i | 0.791241 | + | 1.37047i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 26.4897 | 0.906989 | 0.453495 | − | 0.891259i | \(-0.350177\pi\) | ||||
0.453495 | + | 0.891259i | \(0.350177\pi\) | |||||||
\(854\) | 17.8202 | + | 5.74050i | 0.609796 | + | 0.196436i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 29.7422 | − | 4.96377i | 1.01657 | − | 0.169658i | ||||
\(857\) | −38.9066 | + | 22.4627i | −1.32902 | + | 0.767312i | −0.985149 | − | 0.171703i | \(-0.945073\pi\) |
−0.343875 | + | 0.939015i | \(0.611740\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 30.6621 | + | 17.7028i | 1.04618 | + | 0.604011i | 0.921577 | − | 0.388196i | \(-0.126902\pi\) |
0.124601 | + | 0.992207i | \(0.460235\pi\) | |||||||
\(860\) | −15.2753 | − | 10.1810i | −0.520883 | − | 0.347168i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −6.77677 | + | 22.3869i | −0.230818 | + | 0.762499i | ||||
\(863\) | 2.40437 | + | 1.38816i | 0.0818456 | + | 0.0472536i | 0.540364 | − | 0.841431i | \(-0.318286\pi\) |
−0.458519 | + | 0.888685i | \(0.651620\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.179745 | + | 0.311328i | 0.00611151 | + | 0.0105855i | ||||
\(866\) | 37.9900 | + | 40.5143i | 1.29095 | + | 1.37673i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2.60280 | − | 31.6775i | 0.0883448 | − | 1.07520i | ||||
\(869\) | − | 50.5915i | − | 1.71620i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 24.7092 | + | 42.7976i | 0.837239 | + | 1.45014i | ||||
\(872\) | 8.42107 | + | 3.15271i | 0.285174 | + | 0.106764i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −25.6046 | − | 7.75082i | −0.866089 | − | 0.262175i | ||||
\(875\) | −12.7441 | + | 21.1982i | −0.430830 | + | 0.716631i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 14.3264 | + | 8.27135i | 0.483768 | + | 0.279304i | 0.721986 | − | 0.691908i | \(-0.243230\pi\) |
−0.238217 | + | 0.971212i | \(0.576563\pi\) | |||||||
\(878\) | −9.99064 | − | 42.7351i | −0.337168 | − | 1.44224i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 56.3610 | + | 7.28675i | 1.89993 | + | 0.245636i | ||||
\(881\) | 24.6158i | 0.829327i | 0.909975 | + | 0.414664i | \(0.136101\pi\) | ||||
−0.909975 | + | 0.414664i | \(0.863899\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 40.4623 | 1.36167 | 0.680833 | − | 0.732439i | \(-0.261618\pi\) | ||||
0.680833 | + | 0.732439i | \(0.261618\pi\) | |||||||
\(884\) | −2.14247 | − | 4.33180i | −0.0720592 | − | 0.145694i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.272012 | + | 1.16354i | 0.00913843 | + | 0.0390898i | ||||
\(887\) | 4.64231 | − | 8.04072i | 0.155873 | − | 0.269981i | −0.777503 | − | 0.628879i | \(-0.783514\pi\) |
0.933377 | + | 0.358898i | \(0.116847\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −14.5065 | − | 8.72114i | −0.486532 | − | 0.292498i | ||||
\(890\) | −7.00309 | + | 23.1345i | −0.234744 | + | 0.775471i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.32639 | − | 36.1379i | 0.0778935 | − | 1.20998i | ||||
\(893\) | 3.06399 | − | 1.76900i | 0.102533 | − | 0.0591972i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −47.3688 | −1.58337 | ||||||||
\(896\) | −29.9278 | + | 0.571717i | −0.999818 | + | 0.0190997i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 43.0633 | − | 40.3802i | 1.43704 | − | 1.34751i | ||||
\(899\) | 13.4190 | − | 7.74746i | 0.447548 | − | 0.258392i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.42106 | + | 2.46134i | −0.0473423 | + | 0.0819993i | ||||
\(902\) | 10.8308 | − | 35.7793i | 0.360627 | − | 1.19132i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.543843 | − | 0.660322i | −0.0180880 | − | 0.0219620i | ||||
\(905\) | −27.8159 | + | 48.1786i | −0.924632 | + | 1.60151i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.55327 | − | 4.42240i | −0.0847800 | − | 0.146843i | 0.820517 | − | 0.571621i | \(-0.193685\pi\) |
−0.905297 | + | 0.424778i | \(0.860352\pi\) | |||||||
\(908\) | 7.02699 | + | 14.2076i | 0.233199 | + | 0.471497i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 47.3552 | + | 15.2547i | 1.56981 | + | 0.505689i | ||||
\(911\) | 36.3702i | 1.20500i | 0.798119 | + | 0.602500i | \(0.205829\pi\) | ||||
−0.798119 | + | 0.602500i | \(0.794171\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.64757 | − | 5.57003i | 0.319288 | − | 0.184341i | ||||
\(914\) | −2.40991 | − | 10.3085i | −0.0797129 | − | 0.340973i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.58764 | + | 2.39115i | 0.118539 | + | 0.0790059i | ||||
\(917\) | −33.5639 | + | 18.5942i | −1.10838 | + | 0.614034i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −40.4248 | − | 23.3393i | −1.33349 | − | 0.769892i | −0.347659 | − | 0.937621i | \(-0.613023\pi\) |
−0.985833 | + | 0.167729i | \(0.946357\pi\) | |||||||
\(920\) | −33.9493 | − | 12.7100i | −1.11927 | − | 0.419037i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 4.47207 | − | 4.19343i | 0.147280 | − | 0.138103i | ||||
\(923\) | 39.0580i | 1.28561i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 11.4052i | − | 0.375000i | ||||||
\(926\) | 34.1666 | + | 36.4369i | 1.12279 | + | 1.19739i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −8.53428 | − | 11.8367i | −0.280152 | − | 0.388560i | ||||
\(929\) | −33.8671 | − | 19.5532i | −1.11114 | − | 0.641518i | −0.172017 | − | 0.985094i | \(-0.555028\pi\) |
−0.939125 | + | 0.343576i | \(0.888362\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.914979 | + | 25.8441i | −0.0299872 | + | 0.847006i | ||||
\(932\) | 33.3086 | + | 22.2001i | 1.09106 | + | 0.727188i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −14.4576 | + | 3.37990i | −0.473066 | + | 0.110594i | ||||
\(935\) | −5.59661 | + | 3.23121i | −0.183029 | + | 0.105672i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 14.4038i | 0.470551i | 0.971929 | + | 0.235275i | \(0.0755992\pi\) | ||||
−0.971929 | + | 0.235275i | \(0.924401\pi\) | |||||||
\(938\) | −25.8081 | + | 23.3558i | −0.842664 | + | 0.762595i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 4.29729 | − | 2.12541i | 0.140162 | − | 0.0693231i | ||||
\(941\) | −13.1269 | − | 22.7364i | −0.427924 | − | 0.741186i | 0.568765 | − | 0.822500i | \(-0.307421\pi\) |
−0.996688 | + | 0.0813146i | \(0.974088\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −11.9227 | + | 20.6508i | −0.388257 | + | 0.672482i | ||||
\(944\) | −37.3704 | + | 15.5813i | −1.21630 | + | 0.507128i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −28.1739 | − | 8.52858i | −0.916014 | − | 0.277288i | ||||
\(947\) | 7.85354 | − | 13.6027i | 0.255206 | − | 0.442030i | −0.709746 | − | 0.704458i | \(-0.751190\pi\) |
0.964951 | + | 0.262429i | \(0.0845234\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 31.5306 | − | 18.2042i | 1.02353 | − | 0.590933i | ||||
\(950\) | 4.52087 | + | 4.82126i | 0.146676 | + | 0.156422i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 2.66531 | − | 2.11714i | 0.0863833 | − | 0.0686168i | ||||
\(953\) | −42.8466 | −1.38794 | −0.693968 | − | 0.720006i | \(-0.744139\pi\) | ||||
−0.693968 | + | 0.720006i | \(0.744139\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −25.5588 | + | 14.7564i | −0.827064 | + | 0.477506i | ||||
\(956\) | 37.7066 | + | 2.42738i | 1.21952 | + | 0.0785072i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 22.9123 | + | 6.93583i | 0.740264 | + | 0.224087i | ||||
\(959\) | −3.25672 | − | 0.0576322i | −0.105165 | − | 0.00186104i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −2.53999 | + | 4.39939i | −0.0819352 | + | 0.141916i | ||||
\(962\) | 65.9535 | − | 15.4187i | 2.12643 | − | 0.497117i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 16.2333 | + | 32.8216i | 0.522840 | + | 1.05711i | ||||
\(965\) | −67.1368 | −2.16121 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 0.672082i | − | 0.0216127i | −0.999942 | − | 0.0108063i | \(-0.996560\pi\) | ||
0.999942 | − | 0.0108063i | \(-0.00343983\pi\) | |||||||
\(968\) | 59.1979 | − | 9.87973i | 1.90269 | − | 0.317547i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −12.7971 | + | 2.99171i | −0.410890 | + | 0.0960582i | ||||
\(971\) | 6.45838 | + | 3.72875i | 0.207259 | + | 0.119661i | 0.600037 | − | 0.799972i | \(-0.295153\pi\) |
−0.392778 | + | 0.919633i | \(0.628486\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 35.7789 | + | 21.5099i | 1.14702 | + | 0.689575i | ||||
\(974\) | −9.72184 | + | 32.1158i | −0.311508 | + | 1.02906i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −12.1472 | + | 15.9070i | −0.388822 | + | 0.509171i | ||||
\(977\) | 8.78701 | + | 15.2195i | 0.281121 | + | 0.486916i | 0.971661 | − | 0.236378i | \(-0.0759603\pi\) |
−0.690540 | + | 0.723294i | \(0.742627\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 38.7596i | 1.23876i | ||||||||
\(980\) | −3.48707 | + | 34.8682i | −0.111390 | + | 1.11382i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.51987 | − | 3.30056i | 0.112323 | − | 0.105325i | ||||
\(983\) | −21.3661 | − | 37.0072i | −0.681472 | − | 1.18034i | −0.974532 | − | 0.224250i | \(-0.928007\pi\) |
0.293059 | − | 0.956094i | \(-0.405327\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −35.9489 | − | 20.7551i | −1.14543 | − | 0.661313i | ||||
\(986\) | 1.58821 | + | 0.480770i | 0.0505790 | + | 0.0153108i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −21.7685 | + | 32.6610i | −0.692548 | + | 1.03909i | ||||
\(989\) | 16.2612 | + | 9.38839i | 0.517075 | + | 0.298533i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −39.3373 | + | 22.7114i | −1.24959 | + | 0.721451i | −0.971028 | − | 0.238967i | \(-0.923191\pi\) |
−0.278563 | + | 0.960418i | \(0.589858\pi\) | |||||||
\(992\) | 30.9907 | + | 13.9332i | 0.983956 | + | 0.442381i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −26.8945 | + | 5.78753i | −0.853041 | + | 0.183569i | ||||
\(995\) | −28.5553 | −0.905264 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 21.8718 | + | 37.8831i | 0.692687 | + | 1.19977i | 0.970954 | + | 0.239265i | \(0.0769065\pi\) |
−0.278268 | + | 0.960504i | \(0.589760\pi\) | |||||||
\(998\) | −5.62098 | − | 24.0438i | −0.177929 | − | 0.761094i | ||||
\(999\) | 0 | 0 |
(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 | 504.2.bk.c.19.13 | 32 | ||
3.2 | odd | 2 | 168.2.t.a.19.4 | ✓ | 32 | ||
4.3 | odd | 2 | 2016.2.bs.c.271.13 | 32 | |||
7.3 | odd | 6 | inner | 504.2.bk.c.451.9 | 32 | ||
8.3 | odd | 2 | inner | 504.2.bk.c.19.9 | 32 | ||
8.5 | even | 2 | 2016.2.bs.c.271.4 | 32 | |||
12.11 | even | 2 | 672.2.bb.a.271.2 | 32 | |||
21.2 | odd | 6 | 1176.2.p.a.979.27 | 32 | |||
21.5 | even | 6 | 1176.2.p.a.979.28 | 32 | |||
21.17 | even | 6 | 168.2.t.a.115.8 | yes | 32 | ||
24.5 | odd | 2 | 672.2.bb.a.271.7 | 32 | |||
24.11 | even | 2 | 168.2.t.a.19.8 | yes | 32 | ||
28.3 | even | 6 | 2016.2.bs.c.1711.4 | 32 | |||
56.3 | even | 6 | inner | 504.2.bk.c.451.13 | 32 | ||
56.45 | odd | 6 | 2016.2.bs.c.1711.13 | 32 | |||
84.23 | even | 6 | 4704.2.p.a.3919.1 | 32 | |||
84.47 | odd | 6 | 4704.2.p.a.3919.16 | 32 | |||
84.59 | odd | 6 | 672.2.bb.a.367.7 | 32 | |||
168.5 | even | 6 | 4704.2.p.a.3919.2 | 32 | |||
168.59 | odd | 6 | 168.2.t.a.115.4 | yes | 32 | ||
168.101 | even | 6 | 672.2.bb.a.367.2 | 32 | |||
168.107 | even | 6 | 1176.2.p.a.979.26 | 32 | |||
168.131 | odd | 6 | 1176.2.p.a.979.25 | 32 | |||
168.149 | odd | 6 | 4704.2.p.a.3919.15 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.t.a.19.4 | ✓ | 32 | 3.2 | odd | 2 | ||
168.2.t.a.19.8 | yes | 32 | 24.11 | even | 2 | ||
168.2.t.a.115.4 | yes | 32 | 168.59 | odd | 6 | ||
168.2.t.a.115.8 | yes | 32 | 21.17 | even | 6 | ||
504.2.bk.c.19.9 | 32 | 8.3 | odd | 2 | inner | ||
504.2.bk.c.19.13 | 32 | 1.1 | even | 1 | trivial | ||
504.2.bk.c.451.9 | 32 | 7.3 | odd | 6 | inner | ||
504.2.bk.c.451.13 | 32 | 56.3 | even | 6 | inner | ||
672.2.bb.a.271.2 | 32 | 12.11 | even | 2 | |||
672.2.bb.a.271.7 | 32 | 24.5 | odd | 2 | |||
672.2.bb.a.367.2 | 32 | 168.101 | even | 6 | |||
672.2.bb.a.367.7 | 32 | 84.59 | odd | 6 | |||
1176.2.p.a.979.25 | 32 | 168.131 | odd | 6 | |||
1176.2.p.a.979.26 | 32 | 168.107 | even | 6 | |||
1176.2.p.a.979.27 | 32 | 21.2 | odd | 6 | |||
1176.2.p.a.979.28 | 32 | 21.5 | even | 6 | |||
2016.2.bs.c.271.4 | 32 | 8.5 | even | 2 | |||
2016.2.bs.c.271.13 | 32 | 4.3 | odd | 2 | |||
2016.2.bs.c.1711.4 | 32 | 28.3 | even | 6 | |||
2016.2.bs.c.1711.13 | 32 | 56.45 | odd | 6 | |||
4704.2.p.a.3919.1 | 32 | 84.23 | even | 6 | |||
4704.2.p.a.3919.2 | 32 | 168.5 | even | 6 | |||
4704.2.p.a.3919.15 | 32 | 168.149 | odd | 6 | |||
4704.2.p.a.3919.16 | 32 | 84.47 | odd | 6 |