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+++ b/trumpet.nb
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+ 2 2 2 2 2 \
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+R[r] + beta (x + y + z ) R[r] - R[r]
+
+ 2 \
+ 2
+ 2 2 2 2 2 2 2 C \
+ 2 M 2 2 2 C 2 M
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+ \
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+ R[r]\
+ R[r]
+
+ 2 \
+ 2
+ 2 2 4 C 2 M 2 2 2 \
+ 2 2 2 C 2 M 3
+ 2 beta M r x Sqrt[1 + ----- - ----] + beta C M (x + y + z ) \
+(3 x + y + z ) Sqrt[1 + ----- - ----]) R[r] +
+ 4 R[r] \
+ 4 R[r]
+ R[r] \
+ R[r]
+
+ 2 \
+ 2 2
+ 3 4 C 2 M 4 2 2 2 2 \
+ 2 C 2 M 2 C 2 M
+ beta M r x Sqrt[1 + ----- - ----] R[r] + (C (-x - y - z - (y \
++ z ) (-1 + Sqrt[1 + ----- - ----]) + x (1 + 2 Sqrt[1 + ----- - ----])) +
+ 4 R[r] \
+ 4 R[r] 4 R[r]
+ R[r] \
+ R[r] R[r]
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+ 2 \
+ 2
+ 2 2 2 C 2 M 6 \
+ 2 2 2 C 2 M 7
+ 2 beta M x (x + y + z ) (1 - 2 Sqrt[1 + ----- - ----])) R[r] \
++ beta x (x + y + z ) (-1 + Sqrt[1 + ----- - ----]) R[r] )) /
+ 4 R[r] \
+ 4 R[r]
+ R[r] \
+ R[r]
+
+ 2 3/2 4 3 2 3 4
+ ((1 - beta ) r R[r] (C - 2 M R[r] + R[r] ))), (y (beta C
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+ C 2 M 2 2 2 C 2 M
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+ R[r] \
+ R[r] R[r]
+
+ 2 \
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+ 2 2 2 C 2 M 3 \
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+ 4 R[r] 4 R[r]
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+ R[r]
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+ 2 2 2 \
+ 3 4
+ 4 (-1 + beta ) R[r] (C - 2 M \
+R[r] + R[r] )
+ (r R[r] \
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