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authorDavid A. Madore <david+git@madore.org>2012-03-27 17:05:08 (GMT)
committerDavid A. Madore <david+git@madore.org>2012-03-27 17:46:09 (GMT)
commit221c71e37bdc19dc5bbc1f0303697f67847b7712 (patch)
tree677f3d9a07dc68146d74dad90af7832d0b81300e
parentd7ffd8429e8fa68a43710f2d27c266c5c2ab670c (diff)
downloadephem-221c71e37bdc19dc5bbc1f0303697f67847b7712.zip
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Nutation.
-rw-r--r--org/madore/ephem/Nutation.java73
-rw-r--r--org/madore/ephem/Precession.java8
-rw-r--r--org/madore/ephem/VSOP87.java1
-rw-r--r--org/madore/ephem/nutation.dat2414
4 files changed, 2493 insertions, 3 deletions
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<Variable, Comput.SumPoisson2Terms> data = new EnumMap<Variable, Comput.SumPoisson2Terms>(Variable.class);
+
+ public static Comput.SumPoisson2Terms getFunc(Variable v) {
+ if ( ! data.containsKey(v) ) {
+ List<Comput.Poisson2Term> series = new ArrayList<Comput.Poisson2Term>();
+ 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 -0.00000250
+nutation psi 0 1,0,-1,0,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00010440
+nutation psi 0 2,0,2,-2,1,0,0,0,0,0,0,0,0,0 0.00010190 -0.00000010
+nutation psi 0 2,1,0,-2,0,0,0,0,0,0,0,0,0,0 0.00010140 -0.00000010
+nutation psi 0 1,0,0,2,1,0,0,0,0,0,0,0,0,0 -0.00009700 0.00000020
+nutation psi 0 1,-1,0,-2,0,0,0,0,0,0,0,0,0,0 0.00009490 0.00000010
+nutation psi 0 3,0,2,-2,2,0,0,0,0,0,0,0,0,0 0.00009340 -0.00000030
+nutation psi 0 0,0,4,-2,2,0,0,0,0,0,0,0,0,0 0.00009220 -0.00000010
+nutation psi 0 0,0,0,0,1,0,0,-1,2,0,0,0,0,0 -0.00004600 -0.00004350
+nutation psi 0 0,0,0,0,0,0,0,1,-2,0,0,0,0,0 -0.00004490 0.00004300
+nutation psi 0 0,1,-2,2,0,0,0,0,0,0,0,0,0,0 -0.00008750 0.00000010
+nutation psi 0 0,0,2,-2,-1,0,0,0,0,0,0,0,0,0 -0.00008340 0.00000020
+nutation psi 0 0,1,2,0,1,0,0,0,0,0,0,0,0,0 0.00008150 -0.00000010
+nutation psi 0 1,0,2,-2,0,0,0,0,0,0,0,0,0,0 -0.00007660 0.00000010
+nutation psi 0 1,1,0,-2,-1,0,0,0,0,0,0,0,0,0 -0.00007420 0.00000010
+nutation psi 0 0,1,0,0,2,0,0,0,0,0,0,0,0,0 0.00007150 -0.00000040
+nutation psi 0 2,0,-2,0,1,0,0,0,0,0,0,0,0,0 0.00007160 -0.00000020
+nutation psi 0 0,0,2,-1,2,0,0,0,0,0,0,0,0,0 -0.00007040 0.00000000
+nutation psi 0 0,0,2,4,2,0,0,0,0,0,0,0,0,0 -0.00006940 0.00000050
+nutation psi 0 0,1,0,2,0,0,0,0,0,0,0,0,0,0 -0.00006730 0.00000020
+nutation psi 0 0,0,2,0,-1,0,0,0,0,0,0,0,0,0 0.00006660 -0.00000030
+nutation psi 0 0,1,-2,0,-1,0,0,0,0,0,0,0,0,0 0.00006670 0.00000010
+nutation psi 0 0,1,2,-2,0,0,0,0,0,0,0,0,0,0 -0.00006580 0.00000000
+nutation psi 0 1,0,-2,-2,0,0,0,0,0,0,0,0,0,0 -0.00006390 -0.00000020
+nutation psi 0 0,0,0,0,0,0,8,-13,0,0,0,0,0,-1 -0.00004250 0.00002120
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+nutation epsilon 0 1,0,0,-4,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000390
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+nutation epsilon 0 0,0,0,0,0,0,0,2,0,0,0,0,0,2 0.00000000 0.00000380
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+nutation epsilon 0 0,2,2,0,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000320
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+nutation epsilon 0 1,0,1,0,1,0,0,0,0,0,0,0,0,0 -0.00000110 0.00000000
+nutation epsilon 0 1,-1,-2,2,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000110
+nutation epsilon 0 1,-2,2,-2,1,0,0,0,0,0,0,0,0,0 -0.00000050 0.00000060
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+nutation epsilon 0 0,0,0,0,0,0,5,-5,0,0,0,0,0,-1 -0.00000090 -0.00000020
+nutation epsilon 0 0,0,0,0,0,0,0,7,-8,3,0,0,0,2 0.00000000 0.00000110
+nutation epsilon 0 0,0,0,0,0,0,0,4,-7,0,0,0,0,-2 -0.00000040 -0.00000070
+nutation epsilon 0 0,0,0,0,0,0,0,0,0,0,0,0,2,1 0.00000060 -0.00000050
+nutation epsilon 0 3,0,0,-4,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000100
+nutation epsilon 0 2,0,-2,0,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000100
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+nutation epsilon 0 1,0,1,-2,1,0,0,0,0,0,0,0,0,0 -0.00000100 0.00000000
+nutation epsilon 0 1,0,0,2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000100
+nutation epsilon 0 1,0,0,1,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000100
+nutation epsilon 0 1,0,-4,2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000100
+nutation epsilon 0 1,-1,2,4,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000100
+nutation epsilon 0 0,2,0,-2,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000100
+nutation epsilon 0 0,2,-2,-2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000100
+nutation epsilon 0 0,1,2,-2,3,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000100
+nutation epsilon 0 0,1,2,-4,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000100
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+nutation epsilon 0 0,0,0,0,1,0,-2,3,0,0,0,0,0,0 0.00000100 0.00000000
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+nutation epsilon 0 0,0,0,0,0,0,3,-5,4,0,0,0,0,2 0.00000040 0.00000060
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+nutation epsilon 0 0,0,0,0,0,0,2,0,0,0,0,0,0,1 -0.00000080 -0.00000020
+nutation epsilon 0 5,0,2,0,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000090
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+nutation epsilon 0 3,0,-2,-6,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000090
+nutation epsilon 0 2,1,-2,-4,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000090
+nutation epsilon 0 2,0,0,-2,1,0,-3,3,0,0,0,0,0,0 0.00000000 -0.00000090
+nutation epsilon 0 1,2,2,0,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000090
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+nutation epsilon 0 1,0,-2,4,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000090
+nutation epsilon 0 1,0,-2,-2,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000090
+nutation epsilon 0 1,-1,2,-1,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000090
+nutation epsilon 0 1,-1,0,-1,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000090
+nutation epsilon 0 1,-1,0,-2,0,0,0,0,0,0,0,0,0,0 0.00000010 0.00000080
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+nutation epsilon 0 0,0,1,-1,1,0,-2,2,0,0,0,0,0,0 0.00000000 -0.00000090
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+nutation epsilon 0 0,0,0,0,0,0,1,2,0,0,0,0,0,2 0.00000070 -0.00000020
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+nutation epsilon 0 3,0,-2,0,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000080
+nutation epsilon 0 2,-1,0,0,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000080
+nutation epsilon 0 2,-1,-2,-4,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000080
+nutation epsilon 0 1,2,-2,-2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000080
+nutation epsilon 0 1,1,0,-2,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000080
+nutation epsilon 0 1,0,-2,-3,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000080
+nutation epsilon 0 0,1,0,-4,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000080
+nutation epsilon 0 0,1,-2,1,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000080
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+nutation epsilon 0 0,0,4,-4,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000080
+nutation epsilon 0 0,0,0,0,1,0,3,-7,4,0,0,0,0,0 -0.00000030 -0.00000050
+nutation epsilon 0 0,0,0,0,1,0,0,1,0,-1,0,0,0,0 0.00000000 -0.00000080
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+nutation epsilon 0 0,0,0,0,0,0,7,-9,0,0,0,0,0,-1 -0.00000060 0.00000020
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+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 0,0,0,0,0,0,0,6,0,0,0,0,0,0 0.00000000 -0.00000040
+nutation epsilon 0 0,0,0,0,0,0,0,6,-5,0,0,0,0,2 0.00000010 0.00000030
+nutation epsilon 0 0,0,0,0,0,0,0,5,-2,0,0,0,0,2 -0.00000040 0.00000000
+nutation epsilon 0 0,0,0,0,0,0,0,5,-3,0,0,0,0,2 0.00000000 0.00000040
+nutation epsilon 0 0,0,0,0,0,0,0,2,2,0,0,0,0,2 0.00000020 0.00000020
+nutation epsilon 0 0,0,0,0,0,0,0,2,0,-2,0,0,0,2 -0.00000010 0.00000030
+nutation epsilon 0 0,0,0,0,0,0,0,0,0,0,1,0,0,2 0.00000040 0.00000000
+nutation epsilon 0 2,0,2,0,1,0,0,1,0,0,0,0,0,0 -0.00000010 -0.00000020
+nutation epsilon 0 2,0,0,-2,-1,0,0,-6,8,0,0,0,0,0 -0.00000020 0.00000010
+nutation epsilon 0 2,0,-1,-1,1,0,0,3,-7,0,0,0,0,0 -0.00000010 -0.00000020
+nutation epsilon 0 1,0,0,-1,1,0,0,-3,4,0,0,0,0,0 0.00000010 -0.00000020
+nutation epsilon 0 1,0,-2,0,-2,0,-10,3,0,0,0,0,0,0 -0.00000010 0.00000020
+nutation epsilon 0 0,0,2,-2,1,0,0,-7,9,0,0,0,0,0 0.00000020 -0.00000010
+nutation epsilon 0 0,0,1,-1,2,0,0,-1,0,-2,5,0,0,0 0.00000020 0.00000010
+nutation epsilon 0 0,0,1,-1,-1,0,0,-1,0,-1,0,0,0,0 0.00000020 0.00000010
+nutation epsilon 0 0,0,0,0,1,0,0,1,0,-2,0,0,0,0 -0.00000020 -0.00000010
+nutation epsilon 0 0,0,0,0,1,0,0,-9,17,0,0,0,0,0 -0.00000020 0.00000010
+nutation epsilon 0 0,0,0,0,0,0,2,-3,0,0,0,0,0,1 -0.00000010 -0.00000020
+nutation epsilon 0 0,0,0,0,0,0,1,-2,0,0,0,0,0,-2 0.00000020 0.00000010
+nutation epsilon 0 0,0,0,0,0,0,1,-4,0,0,0,0,0,-2 0.00000020 -0.00000010
+nutation epsilon 0 0,0,0,0,0,0,0,6,0,0,0,0,0,1 0.00000030 0.00000000
+nutation epsilon 0 0,0,0,0,0,0,0,6,-10,0,0,0,0,-2 -0.00000020 -0.00000010
+nutation epsilon 0 0,0,0,0,0,0,0,5,-8,0,0,0,0,-2 -0.00000010 -0.00000020
+nutation epsilon 0 0,0,0,0,0,0,0,3,-5,0,0,0,0,-1 0.00000020 -0.00000010
+nutation epsilon 0 0,0,0,0,0,0,0,2,-6,0,0,0,0,-2 0.00000020 0.00000010
+nutation epsilon 0 4,0,2,-4,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030
+nutation epsilon 0 3,0,0,-2,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030
+nutation epsilon 0 2,2,2,-2,2,0,0,0,0,0,0,0,0,0 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,-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
+nutation epsilon 0 1,0,-1,1,-1,0,-18,17,0,0,0,0,0,0 0.00000030 0.00000000
+nutation epsilon 0 1,0,-1,-1,-1,0,20,-20,0,0,0,0,0,0 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,-3,3,0,0,0,0,0,0 0.00000000 -0.00000030
+nutation epsilon 0 1,-1,0,-4,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030
+nutation epsilon 0 1,-2,2,0,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030
+nutation epsilon 0 1,-2,0,0,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030
+nutation epsilon 0 1,-2,0,-2,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030
+nutation epsilon 0 1,-2,-2,-2,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030
+nutation epsilon 0 0,2,2,2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030
+nutation epsilon 0 0,2,-2,-4,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030
+nutation epsilon 0 0,1,4,-2,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000030
+nutation epsilon 0 0,1,2,3,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000030
+nutation epsilon 0 0,1,0,-2,2,0,0,0,0,0,0,0,0,0 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
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+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
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+nutation epsilon 0 0,0,1,-1,2,0,0,-1,0,1,0,0,0,0 0.00000030 0.00000000
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+nutation epsilon 0 4,1,2,0,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020
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+nutation epsilon 0 4,-1,2,0,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
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+nutation epsilon 0 2,0,2,-3,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
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+nutation epsilon 0 2,0,0,4,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 2,0,0,-1,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020
+nutation epsilon 0 2,0,0,-2,1,0,0,-5,6,0,0,0,0,0 0.00000000 -0.00000020
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+nutation epsilon 0 2,0,0,-6,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 2,0,-1,-1,-2,0,0,-1,0,2,0,0,0,0 0.00000020 0.00000000
+nutation epsilon 0 2,0,-2,-2,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020
+nutation epsilon 0 2,0,-2,-2,0,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 2,0,-4,2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 2,-1,0,2,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
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+nutation epsilon 0 2,-1,-2,2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 2,-1,-2,-2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 2,-2,2,2,2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 2,-2,0,-2,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020
+nutation epsilon 0 1,2,2,0,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020
+nutation epsilon 0 1,2,0,0,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 1,2,0,-2,0,0,0,0,0,0,0,0,0,0 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
+nutation epsilon 0 1,-1,2,-3,1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020
+nutation epsilon 0 1,-1,0,4,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 1,-1,0,0,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020
+nutation epsilon 0 1,-1,-2,1,-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,-4,2,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 1,-2,2,2,1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 1,-2,0,-2,0,0,0,0,0,0,0,0,0,0 0.00000010 -0.00000010
+nutation epsilon 0 1,-2,-2,2,-1,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 0,3,0,0,0,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 0,3,-2,-2,-2,0,0,0,0,0,0,0,0,0 0.00000000 0.00000020
+nutation epsilon 0 0,2,0,0,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020
+nutation epsilon 0 0,1,2,-2,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000020
+nutation epsilon 0 0,1,2,-4,2,0,0,0,0,0,0,0,0,0 0.00000000 -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
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+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
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+nutation epsilon 0 0,0,1,1,2,0,0,1,0,0,0,0,0,0 -0.00000020 0.00000000
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+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
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+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
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+nutation epsilon 0 0,0,0,0,1,0,0,2,0,-2,0,0,0,0 0.00000000 0.00000020
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+nutation epsilon 0 0,0,0,0,0,0,6,-7,0,0,0,0,0,-1 0.00000000 -0.00000010
+nutation epsilon 0 0,0,0,0,0,0,5,-3,0,0,0,0,0,2 0.00000000 -0.00000010
+nutation epsilon 0 0,0,0,0,0,0,5,-4,0,0,0,0,0,2 0.00000010 0.00000000
+nutation epsilon 0 0,0,0,0,0,0,5,-6,0,0,0,0,0,-2 0.00000010 0.00000000
+nutation epsilon 0 0,0,0,0,0,0,4,-8,0,0,0,0,0,-2 0.00000000 0.00000010
+nutation epsilon 0 0,0,0,0,0,0,3,0,0,0,0,0,0,2 -0.00000010 0.00000000
+nutation epsilon 0 0,0,0,0,0,0,3,-3,0,2,0,0,0,2 0.00000000 0.00000010
+nutation epsilon 0 0,0,0,0,0,0,1,-1,0,0,0,0,0,-2 0.00000000 0.00000010
+nutation epsilon 0 0,0,0,0,0,0,0,7,-12,0,0,0,0,-2 -0.00000010 0.00000000
+nutation epsilon 0 0,0,0,0,0,0,0,6,-4,0,0,0,0,2 0.00000000 0.00000010
+nutation epsilon 0 0,0,0,0,0,0,0,6,-8,1,5,0,0,2 -0.00000010 0.00000000
+nutation epsilon 0 0,0,0,0,0,0,0,6,-9,0,0,0,0,-2 0.00000000 -0.00000010
+nutation epsilon 0 0,0,0,0,0,0,0,5,0,-4,0,0,0,2 0.00000000 0.00000010
+nutation epsilon 0 0,0,0,0,0,0,0,5,-7,0,0,0,0,-2 0.00000000 -0.00000010
+nutation epsilon 0 0,0,0,0,0,0,0,5,-8,3,0,0,0,2 0.00000000 0.00000010
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+nutation epsilon 0 0,0,0,0,0,0,0,5,-13,0,0,0,0,-2 0.00000000 -0.00000010
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+nutation epsilon 1 2,0,2,0,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000110
+nutation epsilon 1 1,0,-2,-2,-2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000110
+nutation epsilon 1 0,0,2,2,2,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000110
+nutation epsilon 1 2,0,-2,0,-1,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000100
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+nutation epsilon 1 0,2,0,0,0,0,0,0,0,0,0,0,0,0 0.00000000 -0.00000010