From 221c71e37bdc19dc5bbc1f0303697f67847b7712 Mon Sep 17 00:00:00 2001 From: "David A. Madore" Date: Tue, 27 Mar 2012 19:05:08 +0200 Subject: Nutation. --- org/madore/ephem/Nutation.java | 73 ++ org/madore/ephem/Precession.java | 8 +- org/madore/ephem/VSOP87.java | 1 + org/madore/ephem/nutation.dat | 2414 ++++++++++++++++++++++++++++++++++++++ 4 files changed, 2493 insertions(+), 3 deletions(-) create mode 100644 org/madore/ephem/Nutation.java create mode 100644 org/madore/ephem/nutation.dat (limited to 'org/madore/ephem') diff --git a/org/madore/ephem/Nutation.java b/org/madore/ephem/Nutation.java new file mode 100644 index 0000000..ecc08a4 --- /dev/null +++ b/org/madore/ephem/Nutation.java @@ -0,0 +1,73 @@ +package org.madore.ephem; + +import java.util.List; +import java.util.ArrayList; +import java.util.EnumMap; +import java.io.InputStream; +import java.io.InputStreamReader; +import java.io.BufferedReader; + +public final class Nutation { + + public static enum Variable { + PSI("psi"), EPSILON("epsilon"); + final String name; + Variable(String name) { this.name = name; } + } + + // The argument is in Julian centuries (value is in radians). + public static Comput.Polynomial[] lambdas = new Comput.Polynomial[] { + new Comput.Polynomial(134.96340251*Comput.degree, 1717915923.2178*Comput.arcsecond, 31.8792*Comput.arcsecond +0.051635*Comput.arcsecond, -0.00024470*Comput.arcsecond), // Delaunay l + new Comput.Polynomial(357.52910918*Comput.degree, 129596581.0481*Comput.arcsecond, -0.5532*Comput.arcsecond +0.000136*Comput.arcsecond, -0.00001149*Comput.arcsecond), // Delaunay l′ + new Comput.Polynomial(93.27209062*Comput.degree, 1739527262.8478*Comput.arcsecond, -12.7512*Comput.arcsecond -0.001037*Comput.arcsecond, 0.00000417*Comput.arcsecond), // Delaunay F + new Comput.Polynomial(297.85019547*Comput.degree, 1602961601.2090*Comput.arcsecond, -6.3706*Comput.arcsecond +0.006593*Comput.arcsecond, -0.00003169*Comput.arcsecond), // Delaunay D + new Comput.Polynomial(125.04455501*Comput.degree, -6962890.5431*Comput.arcsecond, 7.4722*Comput.arcsecond +0.007702*Comput.arcsecond, -0.00005939*Comput.arcsecond), // Delaunay Ω + new Comput.Polynomial(4.402608842, 2608.7903141574), // L(Mercury) + new Comput.Polynomial(3.176146697, 1021.3285546211), // L(Venus) + new Comput.Polynomial(1.753470314, 628.3075849991), // L(Earth) + new Comput.Polynomial(6.203480913, 334.0612426700), // L(Mars) + new Comput.Polynomial(0.599546497, 52.9690962641), // L(Jupiter) + new Comput.Polynomial(0.874016757, 21.3299104960), // L(Saturn) + new Comput.Polynomial(5.481293872, 7.4781598567), // L(Uranus) + new Comput.Polynomial(5.311886287, 3.8133035638), // L(Neptune) + new Comput.Polynomial(0, 0.02438175, 0.00000538691) // General precession + }; + + private static EnumMap data = new EnumMap(Variable.class); + + public static Comput.SumPoisson2Terms getFunc(Variable v) { + if ( ! data.containsKey(v) ) { + List series = new ArrayList(); + try { + InputStream str = Nutation.class.getResourceAsStream("nutation.dat"); + BufferedReader in = new BufferedReader(new InputStreamReader(str, "utf-8")); + String s; + while ( ( s = in.readLine() ) != null ) { + String[] fields = s.split("\t"); + if ( ! fields[1].equals(v.name) ) + continue; + int deg = Integer.parseInt(fields[2]); + String[] subfields = fields[3].split(","); + double[] om = new double[14]; + for ( int j=0 ; j<14 ; j++ ) + om[j] = Double.parseDouble(subfields[j]); + double b = Double.parseDouble(fields[4]); + double a = Double.parseDouble(fields[5]); + series.add(Comput.Poisson2Term.ab(deg, a, b, om, lambdas)); + } + } catch ( Exception e ) { + throw new RuntimeException(e); + } + data.put(v, new Comput.SumPoisson2Terms(series)); + } + return data.get(v); + } + + public static Frames.RotationMatrix matrix(double t) { + Frames.RotationMatrix mat1 = Frames.RotationMatrix.rotx(Precession.epsilon.v(t)*Comput.arcsecond); + Frames.RotationMatrix mat2 = Frames.RotationMatrix.rotz(-getFunc(Variable.PSI).v(t)*Comput.arcsecond).apply(mat1); + Frames.RotationMatrix mat3 = Frames.RotationMatrix.rotx(-(Precession.epsilon.v(t)+getFunc(Variable.EPSILON).v(t))*Comput.arcsecond).apply(mat2); + return mat3; + } + +} diff --git a/org/madore/ephem/Precession.java b/org/madore/ephem/Precession.java index 5ac3a03..b52a1c5 100644 --- a/org/madore/ephem/Precession.java +++ b/org/madore/ephem/Precession.java @@ -3,16 +3,18 @@ package org.madore.ephem; public final class Precession { // The following angles are in arcseconds, argument is in Julian centuries since J2000. - public static final double epsilon = 84381.406; + public static final double epsilon0 = 84381.406; public static Comput.Polynomial psi = new Comput.Polynomial(0, 5038.481507, -1.0790069, -0.00114045, 0.000132851, -0.0000000951); public static Comput.Polynomial omega - = new Comput.Polynomial(epsilon, -0.025754, 0.0512623, -0.00772503, -0.000000467, 0.0000003337); + = new Comput.Polynomial(epsilon0, -0.025754, 0.0512623, -0.00772503, -0.000000467, 0.0000003337); public static Comput.Polynomial chi = new Comput.Polynomial(0, 10.556403, -2.3814292, -0.00121197, 0.000170663, -0.0000000560); + public static Comput.Polynomial epsilon + = new Comput.Polynomial(epsilon0, -46.836769, -0.0001831, 0.00200340, -0.000000576, -0.0000000434); public static Frames.RotationMatrix matrix(double t) { - Frames.RotationMatrix mat1 = Frames.RotationMatrix.rotx(epsilon*Comput.arcsecond); + Frames.RotationMatrix mat1 = Frames.RotationMatrix.rotx(epsilon0*Comput.arcsecond); Frames.RotationMatrix mat2 = Frames.RotationMatrix.rotz(-psi.v(t)*Comput.arcsecond).apply(mat1); Frames.RotationMatrix mat3 = Frames.RotationMatrix.rotx(-omega.v(t)*Comput.arcsecond).apply(mat2); Frames.RotationMatrix mat4 = Frames.RotationMatrix.rotz(chi.v(t)*Comput.arcsecond).apply(mat3); diff --git a/org/madore/ephem/VSOP87.java b/org/madore/ephem/VSOP87.java index 442e985..3f06cf8 100644 --- a/org/madore/ephem/VSOP87.java +++ b/org/madore/ephem/VSOP87.java @@ -23,6 +23,7 @@ public final class VSOP87 { Variable(String name) { this.name = name; } } + // The argument is in Julian millennia (value is in radians). public static Comput.Polynomial[] lambdas = new Comput.Polynomial[] { new Comput.Polynomial(4.40260884240, 26087.9031415742), // Mercury new Comput.Polynomial(3.17614669689, 10213.2855462110), // Venus diff --git a/org/madore/ephem/nutation.dat b/org/madore/ephem/nutation.dat new file mode 100644 index 0000000..a685e1f --- /dev/null +++ b/org/madore/ephem/nutation.dat @@ -0,0 +1,2414 @@ +nutation psi 0 0,0,0,0,1,0,0,0,0,0,0,0,0,0 -17.20642418 0.00333860 +nutation psi 0 0,0,2,-2,2,0,0,0,0,0,0,0,0,0 -1.31709122 -0.00136960 +nutation psi 0 0,0,2,0,2,0,0,0,0,0,0,0,0,0 -0.22764181 0.00027960 +nutation psi 0 0,0,0,0,2,0,0,0,0,0,0,0,0,0 0.20745540 -0.00006980 +nutation psi 0 0,1,0,0,0,0,0,0,0,0,0,0,0,0 0.14758770 0.00118170 +nutation psi 0 1,0,0,0,0,0,0,0,0,0,0,0,0,0 0.07111590 -0.00008720 +nutation psi 0 0,1,2,-2,2,0,0,0,0,0,0,0,0,0 -0.05168210 -0.00005240 +nutation psi 0 0,0,2,0,1,0,0,0,0,0,0,0,0,0 -0.03873020 0.00003800 +nutation psi 0 1,0,2,0,2,0,0,0,0,0,0,0,0,0 -0.03014640 0.00008160 +nutation psi 0 0,1,-2,2,-2,0,0,0,0,0,0,0,0,0 -0.02158290 0.00001110 +nutation psi 0 1,0,0,-2,0,0,0,0,0,0,0,0,0,0 -0.01569980 -0.00001680 +nutation psi 0 0,0,2,-2,1,0,0,0,0,0,0,0,0,0 0.01282270 0.00001810 +nutation psi 0 1,0,-2,0,-2,0,0,0,0,0,0,0,0,0 -0.01234570 0.00000190 +nutation psi 0 0,0,0,2,0,0,0,0,0,0,0,0,0,0 0.00633790 -0.00001500 +nutation psi 0 1,0,0,0,1,0,0,0,0,0,0,0,0,0 0.00631100 0.00000270 +nutation psi 0 1,0,-2,-2,-2,0,0,0,0,0,0,0,0,0 0.00596450 0.00001490 +nutation psi 0 1,0,0,0,-1,0,0,0,0,0,0,0,0,0 0.00579760 -0.00001890 +nutation psi 0 1,0,2,0,1,0,0,0,0,0,0,0,0,0 -0.00516130 0.00001290 +nutation psi 0 2,0,0,-2,0,0,0,0,0,0,0,0,0,0 0.00477220 -0.00000180 +nutation psi 0 2,0,-2,0,-1,0,0,0,0,0,0,0,0,0 -0.00458930 0.00000310 +nutation psi 0 0,0,2,2,2,0,0,0,0,0,0,0,0,0 -0.00385660 0.00001580 +nutation psi 0 0,2,-2,2,-2,0,0,0,0,0,0,0,0,0 -0.00324810 0.00000000 +nutation psi 0 2,0,2,0,2,0,0,0,0,0,0,0,0,0 -0.00310460 0.00001310 +nutation psi 0 2,0,0,0,0,0,0,0,0,0,0,0,0,0 0.00292430 -0.00000740 +nutation psi 0 1,0,2,-2,2,0,0,0,0,0,0,0,0,0 0.00285930 -0.00000010 +nutation psi 0 0,0,2,0,0,0,0,0,0,0,0,0,0,0 0.00258870 -0.00000660 +nutation psi 0 0,0,2,-2,0,0,0,0,0,0,0,0,0,0 -0.00217830 0.00000130 +nutation psi 0 1,0,-2,0,-1,0,0,0,0,0,0,0,0,0 -0.00204410 0.00000100 +nutation psi 0 0,2,0,0,0,0,0,0,0,0,0,0,0,0 0.00167070 -0.00000100 +nutation psi 0 0,2,2,-2,2,0,0,0,0,0,0,0,0,0 -0.00157940 -0.00000160 +nutation psi 0 1,0,0,-2,-1,0,0,0,0,0,0,0,0,0 -0.00151640 0.00000110 +nutation psi 0 0,1,0,0,1,0,0,0,0,0,0,0,0,0 -0.00140530 0.00000790 +nutation psi 0 1,0,0,-2,1,0,0,0,0,0,0,0,0,0 -0.00128730 -0.00000370 +nutation psi 0 0,1,0,0,-1,0,0,0,0,0,0,0,0,0 0.00126540 0.00000630 +nutation psi 0 2,0,-2,0,0,0,0,0,0,0,0,0,0,0 0.00110240 -0.00000140 +nutation psi 0 1,0,-2,-2,-1,0,0,0,0,0,0,0,0,0 0.00102040 0.00000250 +nutation psi 0 0,0,1,-1,1,0,0,-1,0,-2,5,0,0,0 -0.00030840 0.00051230 +nutation psi 0 1,0,2,2,2,0,0,0,0,0,0,0,0,0 -0.00076870 0.00000440 +nutation psi 0 0,1,2,0,2,0,0,0,0,0,0,0,0,0 0.00075660 -0.00000110 +nutation psi 0 1,1,0,-2,0,0,0,0,0,0,0,0,0,0 -0.00073500 -0.00000080 +nutation psi 0 0,1,-2,0,-2,0,0,0,0,0,0,0,0,0 0.00071410 0.00000080 +nutation psi 0 0,0,2,2,1,0,0,0,0,0,0,0,0,0 -0.00066370 0.00000250 +nutation psi 0 1,0,0,2,0,0,0,0,0,0,0,0,0,0 0.00065750 -0.00000240 +nutation psi 0 2,0,2,-2,2,0,0,0,0,0,0,0,0,0 0.00064430 -0.00000070 +nutation psi 0 0,0,0,2,1,0,0,0,0,0,0,0,0,0 -0.00063020 0.00000020 +nutation psi 0 1,0,2,-2,1,0,0,0,0,0,0,0,0,0 0.00058000 0.00000020 +nutation psi 0 2,0,0,-2,-1,0,0,0,0,0,0,0,0,0 0.00057740 -0.00000150 +nutation psi 0 2,0,2,0,1,0,0,0,0,0,0,0,0,0 -0.00053500 0.00000210 +nutation psi 0 0,0,0,2,-1,0,0,0,0,0,0,0,0,0 0.00049400 -0.00000210 +nutation psi 0 0,1,-2,2,-1,0,0,0,0,0,0,0,0,0 0.00047520 -0.00000030 +nutation psi 0 1,-1,0,0,0,0,0,0,0,0,0,0,0,0 0.00047250 -0.00000060 +nutation psi 0 1,0,0,-1,0,0,0,0,0,0,0,0,0,0 -0.00040260 -0.00003530 +nutation psi 0 0,1,0,-2,0,0,0,0,0,0,0,0,0,0 -0.00043480 -0.00000100 +nutation psi 0 0,0,0,1,0,0,0,0,0,0,0,0,0,0 -0.00042300 0.00000050 +nutation psi 0 2,0,0,-2,1,0,0,0,0,0,0,0,0,0 0.00040650 0.00000060 +nutation psi 0 1,0,-2,0,0,0,0,0,0,0,0,0,0,0 0.00040560 0.00000050 +nutation psi 0 0,0,0,0,0,0,0,0,0,2,-5,0,0,-1 0.00014440 0.00024090 +nutation psi 0 0,1,2,-2,1,0,0,0,0,0,0,0,0,0 0.00035790 0.00000050 +nutation psi 0 1,1,0,0,0,0,0,0,0,0,0,0,0,0 -0.00033890 0.00000050 +nutation psi 0 1,0,2,0,0,0,0,0,0,0,0,0,0,0 0.00033390 -0.00000130 +nutation psi 0 1,-1,0,-1,0,0,0,0,0,0,0,0,0,0 -0.00032760 0.00000010 +nutation psi 0 2,0,-2,0,-2,0,0,0,0,0,0,0,0,0 0.00030710 -0.00000020 +nutation psi 0 3,0,2,0,2,0,0,0,0,0,0,0,0,0 -0.00029010 0.00000150 +nutation psi 0 1,-1,2,0,2,0,0,0,0,0,0,0,0,0 -0.00028780 0.00000080 +nutation psi 0 1,1,-2,-2,-2,0,0,0,0,0,0,0,0,0 0.00028190 0.00000070 +nutation psi 0 0,1,-2,-2,-2,0,0,0,0,0,0,0,0,0 0.00026470 0.00000110 +nutation psi 0 1,1,2,0,2,0,0,0,0,0,0,0,0,0 0.00024810 -0.00000070 +nutation psi 0 2,0,0,0,-1,0,0,0,0,0,0,0,0,0 0.00022940 -0.00000100 +nutation psi 0 2,0,0,0,1,0,0,0,0,0,0,0,0,0 0.00021790 -0.00000020 +nutation psi 0 0,0,0,0,0,0,0,4,-8,3,0,0,0,0 -0.00004620 0.00016040 +nutation psi 0 0,0,0,0,0,0,3,-5,0,0,0,0,0,-2 0.00020650 0.00000000 +nutation psi 0 1,0,-2,2,-1,0,0,0,0,0,0,0,0,0 0.00019870 -0.00000060 +nutation psi 0 0,1,-1,1,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00019880 +nutation psi 0 1,0,0,0,2,0,0,0,0,0,0,0,0,0 -0.00019810 0.00000000 +nutation psi 0 0,0,1,-1,1,0,-8,12,0,0,0,0,0,0 0.00012000 0.00005980 +nutation psi 0 0,0,2,1,2,0,0,0,0,0,0,0,0,0 0.00016600 -0.00000050 +nutation psi 0 3,0,0,0,0,0,0,0,0,0,0,0,0,0 0.00015750 -0.00000060 +nutation psi 0 1,0,-2,-4,-2,0,0,0,0,0,0,0,0,0 0.00015210 0.00000090 +nutation psi 0 0,0,0,0,0,0,1,-1,0,0,0,0,0,0 0.00014850 0.00000000 +nutation psi 0 0,0,0,0,0,0,0,8,-16,4,5,0,0,0 0.00014400 0.00000000 +nutation psi 0 1,0,0,0,-2,0,0,0,0,0,0,0,0,0 -0.00014050 0.00000040 +nutation psi 0 2,0,-2,-2,-2,0,0,0,0,0,0,0,0,0 -0.00013780 -0.00000020 +nutation psi 0 1,0,0,-4,0,0,0,0,0,0,0,0,0,0 -0.00013380 -0.00000050 +nutation psi 0 1,0,2,2,1,0,0,0,0,0,0,0,0,0 -0.00013310 0.00000080 +nutation psi 0 1,-1,0,-1,-1,0,0,0,0,0,0,0,0,0 -0.00013140 0.00000000 +nutation psi 0 1,1,2,-2,2,0,0,0,0,0,0,0,0,0 0.00012900 0.00000000 +nutation psi 0 2,0,0,-4,0,0,0,0,0,0,0,0,0,0 -0.00012820 -0.00000030 +nutation psi 0 0,2,-2,2,-1,0,0,0,0,0,0,0,0,0 0.00012830 0.00000000 +nutation psi 0 0,0,0,0,0,0,0,1,0,-1,0,0,0,0 -0.00012230 -0.00000290 +nutation psi 0 0,0,2,-2,3,0,0,0,0,0,0,0,0,0 0.00012480 0.00000000 +nutation psi 0 2,0,-2,-4,-2,0,0,0,0,0,0,0,0,0 0.00012140 0.00000050 +nutation psi 0 0,0,0,0,0,0,0,0,0,2,0,0,0,2 -0.00011660 0.00000000 +nutation psi 0 1,0,-4,0,-2,0,0,0,0,0,0,0,0,0 -0.00011460 -0.00000030 +nutation psi 0 2,0,2,2,2,0,0,0,0,0,0,0,0,0 -0.00011000 0.00000090 +nutation psi 0 1,0,0,-1,-1,0,0,0,0,0,0,0,0,0 -0.00010200 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0.00000030 +nutation epsilon 0 0,0,0,0,0,0,0,3,0,2,-5,0,0,2 0.00000050 -0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,3,0,1,0,0,0,2 -0.00000050 0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,3,-5,0,0,0,0,-2 0.00000000 -0.00000070 +nutation epsilon 0 0,0,0,0,0,0,0,2,0,-4,0,0,0,-2 0.00000000 -0.00000070 +nutation epsilon 0 0,0,0,0,0,0,0,0,0,0,3,0,0,2 0.00000070 0.00000000 +nutation epsilon 0 2,0,-1,-1,-1,0,0,-1,0,3,0,0,0,0 -0.00000040 0.00000020 +nutation epsilon 0 0,0,1,-1,1,0,0,-1,0,0,3,0,0,0 0.00000020 0.00000040 +nutation epsilon 0 0,0,0,0,1,0,0,2,-4,0,0,0,0,0 0.00000040 0.00000020 +nutation epsilon 0 0,0,0,0,0,1,0,-4,0,0,0,0,0,-2 -0.00000040 0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,6,0,0,0,0,0,2 0.00000040 -0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,6,-6,0,0,0,0,2 -0.00000040 -0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,1,-5,0,0,0,0,-2 0.00000040 0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,0,0,0,3,0,0,1 -0.00000020 -0.00000040 +nutation epsilon 0 4,0,-2,-2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000060 +nutation epsilon 0 3,0,0,2,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000060 +nutation epsilon 0 2,1,0,0,0,0,0,0,0,0,0,0,0,0 0.00000000 0.00000060 +nutation epsilon 0 2,1,0,-4,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000060 +nutation epsilon 0 2,0,0,-2,-1,0,0,-2,0,0,5,0,0,0 0.00000000 -0.00000060 +nutation epsilon 0 2,0,-2,2,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000060 +nutation epsilon 0 1,1,0,-2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000060 +nutation epsilon 0 1,1,0,-4,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000060 +nutation epsilon 0 1,1,0,-4,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000060 +nutation epsilon 0 1,0,0,-4,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000060 +nutation epsilon 0 1,0,-2,-2,-2,0,0,-2,0,2,0,0,0,0 0.00000000 -0.00000060 +nutation epsilon 0 1,-1,2,-4,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000060 +nutation epsilon 0 0,1,0,1,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000060 +nutation epsilon 0 0,0,2,2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000060 +nutation epsilon 0 0,0,2,-2,2,0,-8,11,0,0,0,0,0,0 0.00000060 0.00000000 +nutation epsilon 0 0,0,2,-2,1,0,-2,2,0,0,0,0,0,0 0.00000000 -0.00000060 +nutation epsilon 0 0,0,1,-1,1,0,-2,3,0,0,0,0,0,0 0.00000050 0.00000010 +nutation epsilon 0 0,0,1,-1,-1,0,0,0,-2,0,0,0,0,0 0.00000010 -0.00000050 +nutation epsilon 0 0,0,0,3,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000060 +nutation epsilon 0 0,0,0,1,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000060 +nutation epsilon 0 0,0,0,0,1,0,0,-1,0,1,0,0,0,0 0.00000000 -0.00000060 +nutation epsilon 0 0,0,0,0,0,0,8,-13,0,0,0,0,0,1 0.00000030 0.00000030 +nutation epsilon 0 0,0,0,0,0,0,7,-7,0,0,0,0,0,-1 -0.00000050 -0.00000010 +nutation epsilon 0 0,0,0,0,0,0,4,-4,0,0,0,0,0,2 -0.00000010 -0.00000050 +nutation epsilon 0 0,0,0,0,0,0,1,-2,0,0,0,0,0,1 0.00000010 0.00000050 +nutation epsilon 0 0,0,0,0,0,0,0,5,0,-2,0,0,0,2 0.00000050 -0.00000010 +nutation epsilon 0 0,0,0,0,0,0,0,3,-6,0,0,0,0,-1 -0.00000010 0.00000050 +nutation epsilon 0 0,0,0,0,0,0,0,1,1,0,0,0,0,2 0.00000000 0.00000060 +nutation epsilon 0 0,0,0,0,0,0,0,1,0,0,1,0,0,2 0.00000000 0.00000060 +nutation epsilon 0 3,-1,2,2,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000050 +nutation epsilon 0 3,-1,2,-2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000050 +nutation epsilon 0 3,-1,-2,-1,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000050 +nutation epsilon 0 2,1,0,-2,0,0,0,0,0,0,0,0,0,0 0.00000010 0.00000040 +nutation epsilon 0 2,1,0,-4,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000050 +nutation epsilon 0 2,1,-2,-2,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000050 +nutation epsilon 0 2,0,2,0,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000050 +nutation epsilon 0 2,0,0,-2,1,0,0,-6,8,0,0,0,0,0 0.00000030 -0.00000020 +nutation epsilon 0 2,0,0,-2,-1,0,0,-5,6,0,0,0,0,0 -0.00000020 0.00000030 +nutation epsilon 0 2,0,-1,-1,-1,0,0,3,-7,0,0,0,0,0 0.00000020 0.00000030 +nutation epsilon 0 2,0,-4,0,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000050 +nutation epsilon 0 1,1,0,0,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000050 +nutation epsilon 0 1,1,0,-4,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000050 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0.00000000 +nutation epsilon 0 0,0,2,-2,1,-1,0,2,0,0,0,0,0,0 0.00000040 0.00000010 +nutation epsilon 0 0,0,1,-1,1,0,0,1,0,0,0,0,0,0 -0.00000050 0.00000000 +nutation epsilon 0 0,0,1,-1,1,0,0,-1,0,0,0,2,0,0 -0.00000040 -0.00000010 +nutation epsilon 0 0,0,0,0,1,0,3,-5,0,0,0,0,0,0 0.00000010 0.00000040 +nutation epsilon 0 0,0,0,0,0,0,9,-12,0,0,0,0,0,-2 0.00000050 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,6,-9,0,0,0,0,0,-1 0.00000000 -0.00000050 +nutation epsilon 0 0,0,0,0,0,0,5,-6,0,0,0,0,0,2 0.00000040 -0.00000010 +nutation epsilon 0 0,0,0,0,0,0,5,-10,0,0,0,0,0,-2 -0.00000040 0.00000010 +nutation epsilon 0 0,0,0,0,0,0,4,-4,0,0,0,0,0,1 -0.00000050 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,1,0,0,0,0,0,0,2 0.00000030 0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,7,-13,0,0,0,0,-2 -0.00000030 0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,6,-11,0,0,0,0,-2 -0.00000050 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,5,0,-3,0,0,0,2 0.00000010 0.00000040 +nutation epsilon 0 0,0,0,0,0,0,0,2,-5,0,0,0,0,-2 0.00000020 0.00000030 +nutation epsilon 0 0,0,0,0,0,0,0,1,0,3,0,0,0,2 -0.00000030 0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,1,-3,0,0,0,0,-2 0.00000000 0.00000050 +nutation epsilon 0 0,0,0,0,0,0,0,0,0,4,0,0,0,2 0.00000010 0.00000040 +nutation epsilon 0 5,0,2,-2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 4,0,0,0,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 4,0,0,0,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 3,1,2,0,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 3,0,2,-1,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 3,-1,2,0,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 2,0,2,-1,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 2,0,0,2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 2,-2,2,0,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 2,-2,2,-2,2,0,0,0,0,0,0,0,0,0 -0.00000010 0.00000030 +nutation epsilon 0 1,2,2,-2,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 1,2,-2,-4,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 1,1,2,1,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 1,1,0,2,0,0,0,0,0,0,0,0,0,0 -0.00000010 0.00000030 +nutation epsilon 0 1,1,0,2,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 1,1,0,-1,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 1,0,4,-4,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 1,0,2,2,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 1,0,0,4,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 1,0,0,-3,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 1,0,-1,0,1,0,0,0,0,0,0,0,0,0 0.00000040 0.00000000 +nutation epsilon 0 1,-1,-2,-3,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 1,-2,0,-2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 1,-2,-2,0,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 0,2,2,0,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 0,2,0,-2,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 0,2,-2,0,-1,0,0,0,0,0,0,0,0,0 -0.00000010 0.00000030 +nutation epsilon 0 0,0,4,-1,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 0,0,2,0,2,0,1,-1,0,0,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 0,0,2,-2,1,0,0,-2,0,3,0,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 0,0,2,-2,1,0,0,-2,0,0,2,0,0,0 0.00000000 -0.00000040 +nutation epsilon 0 0,0,2,-2,1,0,0,-8,11,0,0,0,0,0 0.00000040 0.00000000 +nutation epsilon 0 0,0,2,-2,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000040 +nutation epsilon 0 0,0,1,-1,2,0,0,-1,0,2,0,0,0,0 0.00000040 0.00000000 +nutation epsilon 0 0,0,1,-1,1,0,0,-1,0,0,-2,0,0,0 -0.00000020 -0.00000020 +nutation epsilon 0 0,0,1,-1,1,0,0,-1,0,-1,2,0,0,0 -0.00000040 0.00000000 +nutation epsilon 0 0,0,1,-1,1,0,0,-1,0,-2,4,0,0,0 0.00000020 -0.00000020 +nutation epsilon 0 0,0,0,0,2,0,0,-1,2,0,0,0,0,0 -0.00000020 0.00000020 +nutation epsilon 0 0,0,0,0,1,0,0,-8,15,0,0,0,0,0 -0.00000010 0.00000030 +nutation epsilon 0 0,0,0,0,0,0,8,-8,0,0,0,0,0,-1 -0.00000040 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,8,-10,0,0,0,0,0,-1 -0.00000040 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,6,-10,0,0,0,0,0,-1 -0.00000030 0.00000010 +nutation epsilon 0 0,0,0,0,0,0,5,-5,0,0,0,0,0,2 0.00000000 0.00000040 +nutation epsilon 0 0,0,0,0,0,0,5,-9,0,0,0,0,0,-2 0.00000000 -0.00000040 +nutation epsilon 0 0,0,0,0,0,0,4,-2,0,0,0,0,0,2 0.00000000 -0.00000040 +nutation epsilon 0 0,0,0,0,0,0,4,-2,0,0,0,0,0,1 -0.00000040 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,4,-3,0,0,0,0,0,2 0.00000040 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,3,-4,0,0,0,0,0,-1 0.00000000 -0.00000040 +nutation epsilon 0 0,0,0,0,0,0,3,-6,0,0,0,0,0,-1 0.00000000 0.00000040 +nutation epsilon 0 0,0,0,0,0,0,2,-6,0,0,0,0,0,-2 0.00000000 0.00000040 +nutation epsilon 0 0,0,0,0,0,0,0,8,-15,0,0,0,0,-1 0.00000040 0.00000000 +nutation epsilon 0 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0.00000000 -0.00000030 +nutation epsilon 0 2,1,2,1,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 2,1,2,-4,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 2,1,-2,0,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 2,0,4,-2,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 2,0,2,1,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 2,0,0,-2,-1,0,0,-2,0,4,-5,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 2,0,0,-2,-1,0,-3,3,0,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 2,0,0,-2,-2,0,-3,3,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 2,0,0,-3,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 2,0,-1,-1,-1,0,0,-1,0,2,0,0,0,0 0.00000030 0.00000000 +nutation epsilon 0 2,0,-1,-1,-1,0,0,-1,0,0,0,0,0,0 0.00000030 0.00000000 +nutation epsilon 0 2,0,-2,-6,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 2,0,-4,2,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 2,0,-4,-2,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 2,-1,2,-1,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 2,-1,2,-2,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 2,-1,-2,0,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 2,-2,0,-2,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 1,1,4,-2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 1,1,2,-4,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 1,0,2,3,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 1,0,2,0,3,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 1,0,2,-2,2,0,0,-2,0,2,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 1,0,1,-1,1,0,0,-1,0,0,0,0,0,0 0.00000030 0.00000000 +nutation epsilon 0 1,0,0,4,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 1,0,0,-1,-1,0,0,-2,2,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 1,0,0,-6,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030 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0.00000000 -0.00000030 +nutation epsilon 0 0,1,0,-4,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 0,0,4,-2,4,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 0,0,2,3,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 0,0,2,0,2,0,0,1,0,-1,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 0,0,2,0,2,0,0,-1,0,1,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 0,0,2,0,2,0,-1,1,0,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 0,0,2,0,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 0,0,2,-2,4,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 0,0,2,-2,1,0,0,-1,0,1,0,0,0,0 0.00000000 -0.00000030 +nutation epsilon 0 0,0,2,-2,-1,0,-5,6,0,0,0,0,0,0 -0.00000030 0.00000000 +nutation epsilon 0 0,0,1,-1,2,0,0,0,-2,0,0,0,0,0 0.00000000 0.00000030 +nutation epsilon 0 0,0,1,-1,2,0,0,-1,0,1,0,0,0,0 0.00000030 0.00000000 +nutation epsilon 0 0,0,1,-1,1,0,1,-2,0,0,0,0,0,0 0.00000030 0.00000000 +nutation epsilon 0 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epsilon 0 0,0,0,0,0,0,0,3,0,0,-2,0,0,2 -0.00000030 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,1,0,-1,0,0,0,1 0.00000030 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,1,0,-3,0,0,0,-1 0.00000030 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,1,-6,0,0,0,0,-2 0.00000030 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,0,0,4,-5,0,0,2 0.00000000 -0.00000030 +nutation epsilon 0 0,0,0,0,0,0,0,0,0,0,5,0,0,2 0.00000000 0.00000030 +nutation epsilon 0 0,0,0,0,0,0,0,0,0,0,0,2,0,2 0.00000000 0.00000030 +nutation epsilon 0 0,0,0,0,0,0,0,0,0,0,0,2,0,1 0.00000030 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,0,0,0,0,0,2,2 0.00000000 0.00000030 +nutation epsilon 0 4,1,2,0,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 4,0,-2,0,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 4,-1,2,0,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 4,-1,-2,-2,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 3,1,2,-2,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation 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0.00000000 -0.00000020 +nutation epsilon 0 1,1,2,4,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 1,1,0,1,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 1,1,0,1,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,1,-2,2,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,1,-2,-3,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 1,1,-2,-6,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,4,0,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 1,0,3,0,3,0,0,0,0,0,0,0,0,0 -0.00000020 0.00000000 +nutation epsilon 0 1,0,2,-4,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,2,-6,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,1,1,1,0,0,1,0,0,0,0,0,0 0.00000020 0.00000000 +nutation epsilon 0 1,0,0,-1,1,0,0,-1,0,1,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 1,0,0,-1,-1,0,0,-3,4,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,0,-2,1,0,0,-2,0,2,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 1,0,0,-2,-1,0,0,-2,0,2,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,0,-3,0,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,0,-3,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,-1,1,-1,0,0,1,0,0,0,0,0,0 0.00000020 0.00000000 +nutation epsilon 0 1,0,-1,0,-1,0,-3,5,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,-1,-2,-1,0,0,0,0,0,0,0,0,0 0.00000020 0.00000000 +nutation epsilon 0 1,0,-2,1,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,-2,0,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,-2,-2,-2,0,0,-2,0,3,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,-2,-6,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,0,-4,-2,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 1,-1,2,4,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 1,-1,2,1,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 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-0.00000020 +nutation epsilon 0 0,1,0,4,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,1,0,-4,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,1,-2,4,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,0,4,2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,0,2,-2,2,0,0,-2,0,2,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 0,0,2,-2,1,0,0,4,-8,3,0,0,0,0 0.00000020 0.00000000 +nutation epsilon 0 0,0,2,-2,1,0,0,1,0,-1,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 0,0,2,-2,1,0,0,-2,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 0,0,2,-2,1,0,0,-3,0,3,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,0,2,-2,1,0,0,-4,8,-3,0,0,0,0 0.00000020 0.00000000 +nutation epsilon 0 0,0,2,-2,1,0,0,-4,4,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,0,2,-2,1,0,-5,5,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,0,2,-2,1,0,-8,11,0,0,0,0,0,0 0.00000020 0.00000000 +nutation epsilon 0 0,0,1,1,2,0,0,1,0,0,0,0,0,0 -0.00000020 0.00000000 +nutation epsilon 0 0,0,1,-1,2,0,0,-1,0,0,1,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 0,0,1,-1,2,0,0,-1,0,-1,0,0,0,0 -0.00000020 0.00000000 +nutation epsilon 0 0,0,1,-1,2,0,-5,7,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 0,0,1,-1,2,0,-8,12,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 0,0,1,-1,1,0,1,-3,0,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 0,0,1,-1,1,0,0,1,-4,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,0,1,-1,1,0,0,-1,0,1,-3,0,0,0 0.00000020 0.00000000 +nutation epsilon 0 0,0,1,-1,1,0,0,-1,0,0,0,-1,0,0 0.00000020 0.00000000 +nutation epsilon 0 0,0,1,-1,1,0,0,-4,6,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,0,1,-1,1,0,-5,6,0,0,0,0,0,0 0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,1,0,3,-4,0,0,0,0,0,0 -0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,1,0,0,7,-13,0,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 0,0,0,0,1,0,0,2,0,-2,0,0,0,0 0.00000000 0.00000020 +nutation epsilon 0 0,0,0,0,1,0,0,2,-2,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,0,0,0,1,0,0,-2,2,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,0,0,0,1,0,-2,2,0,0,0,0,0,0 0.00000000 -0.00000020 +nutation epsilon 0 0,0,0,0,1,0,-3,4,0,0,0,0,0,0 0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,8,-12,0,0,0,0,0,-2 0.00000000 0.00000020 +nutation epsilon 0 0,0,0,0,0,0,7,-10,0,0,0,0,0,-1 0.00000000 -0.00000020 +nutation epsilon 0 0,0,0,0,0,0,7,-11,0,0,0,0,0,-1 0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,6,-4,0,0,0,0,0,1 -0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,6,-6,0,0,0,0,0,1 -0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,5,-5,0,0,0,0,0,1 -0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,5,-6,0,0,0,0,0,-1 0.00000000 -0.00000020 +nutation epsilon 0 0,0,0,0,0,0,4,-2,0,0,0,0,0,0 -0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,4,-5,0,0,0,0,0,-1 0.00000000 -0.00000020 +nutation epsilon 0 0,0,0,0,0,0,4,-5,0,0,0,0,0,-2 0.00000020 0.00000000 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-0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,4,-8,3,0,0,0,1 0.00000000 -0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,4,-8,3,0,0,0,-1 0.00000000 0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,4,-8,1,5,0,0,2 0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,3,0,0,0,0,0,2 0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,3,-8,3,0,0,0,-2 0.00000000 0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,2,1,0,0,0,0,2 0.00000010 -0.00000010 +nutation epsilon 0 0,0,0,0,0,0,0,2,0,0,-2,0,0,1 0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,2,0,-5,0,0,0,-2 0.00000000 -0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,2,-4,0,0,0,0,1 0.00000000 -0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,2,-7,0,0,0,0,-2 0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,1,0,1,0,0,0,1 0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,1,0,0,0,0,0,-1 0.00000000 0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,1,0,-1,0,0,0,-1 0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,1,0,-2,5,0,0,2 0.00000020 0.00000000 +nutation epsilon 0 0,0,0,0,0,0,0,1,0,-2,0,0,0,-2 0.00000000 0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,1,0,-5,0,0,0,-2 0.00000000 -0.00000020 +nutation epsilon 0 0,0,0,0,0,0,0,7,-7,0,0,0,0,2 -0.00000020 0.00000000 +nutation epsilon 0 5,0,2,0,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 4,1,2,-2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 3,1,2,2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 3,1,-2,-6,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 3,0,0,0,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 3,0,0,-4,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 3,0,-2,-4,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 3,-1,0,0,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 2,2,0,-2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 2,1,2,-4,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 2,1,-2,0,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 2,0,2,-2,2,0,0,-2,0,3,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 2,0,1,-3,1,0,-6,7,0,0,0,0,0,0 0.00000010 0.00000000 +nutation epsilon 0 2,0,0,1,0,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 2,0,0,-4,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 2,0,0,-4,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 2,0,0,-6,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 2,0,-2,-2,-2,0,0,-2,0,2,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 2,0,-2,-5,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 2,-1,2,4,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 2,-1,0,2,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 2,-1,0,-2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 2,-1,-2,0,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 2,-1,-2,0,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 2,-2,0,-2,0,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 1,3,-2,-2,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 1,2,2,-4,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 1,1,0,1,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 1,1,0,0,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 1,1,-2,1,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 1,1,-2,-1,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 1,1,-2,-2,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 1,0,2,0,2,0,1,-1,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 1,0,2,0,2,0,0,4,-8,3,0,0,0,0 0.00000010 0.00000000 +nutation epsilon 0 1,0,2,0,2,0,0,-4,8,-3,0,0,0,0 0.00000010 0.00000000 +nutation epsilon 0 1,0,2,0,2,0,-1,1,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 1,0,2,-2,2,0,-3,3,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 1,0,0,0,1,0,-10,3,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 1,0,0,0,-1,0,-10,3,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 1,0,0,-4,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 1,0,0,-6,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 1,0,-2,4,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 1,0,-2,1,0,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 1,0,-2,-2,-2,0,0,1,0,-1,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 1,0,-2,-2,-3,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 1,0,-2,-4,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 0,2,0,0,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 0,1,4,-4,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 0,1,-2,-2,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 0,1,-4,2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 0,0,2,2,2,0,0,2,0,-2,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 0,0,2,0,3,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 0,0,2,0,2,0,2,-2,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 0,0,2,0,2,0,2,-3,0,0,0,0,0,0 0.00000010 0.00000000 +nutation epsilon 0 0,0,2,0,2,0,-2,3,0,0,0,0,0,0 0.00000010 0.00000000 +nutation epsilon 0 0,0,2,0,2,0,-2,2,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 0,0,2,-2,1,0,1,-1,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 0,0,2,-2,1,0,0,-2,0,1,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 0,0,2,-2,1,0,0,-10,15,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 0,0,1,-1,2,0,0,-1,0,0,-1,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 0,0,1,-1,2,0,-3,4,0,0,0,0,0,0 -0.00000010 0.00000000 +nutation epsilon 0 0,0,1,-1,1,0,-1,2,0,0,0,0,0,0 0.00000010 0.00000000 +nutation epsilon 0 0,0,1,-1,1,0,-4,6,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 0,0,1,-1,-1,0,-5,7,0,0,0,0,0,0 0.00000000 0.00000010 +nutation epsilon 0 0,0,0,3,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010 +nutation epsilon 0 0,0,0,0,2,0,0,0,0,1,0,0,0,0 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