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#
# Calculating a nilpotent quotient
# Nilpotency class: 11
# Size of exponents: 8 bytes
#
# Calculating the abelian quotient ...
# The abelian quotient has 2 generators
# with the following exponents: 0 0
#
# Calculating the class 2 quotient ...
## Sizes: 2 3
# Layer 2 of the lower central series has 1 generators
# with the following exponents: 0
#
# Calculating the class 3 quotient ...
## Sizes: 2 3 5
# Maximal entry: 0
# Layer 3 of the lower central series has 1 generators
# with the following exponents: 0
#
# Calculating the class 4 quotient ...
## Sizes: 2 3 4 7
# Maximal entry: 0
# Layer 4 of the lower central series has 1 generators
# with the following exponents: 0
#
# Calculating the class 5 quotient ...
## Sizes: 2 3 4 5 9
# Maximal entry: 0
# Layer 5 of the lower central series has 1 generators
# with the following exponents: 0
#
# Calculating the class 6 quotient ...
## Sizes: 2 3 4 5 6 11
# Maximal entry: 0
# Layer 6 of the lower central series has 1 generators
# with the following exponents: 2
#
# Calculating the class 7 quotient ...
## Sizes: 2 3 4 5 6 7 14
# Maximal entry: 0
# Layer 7 of the lower central series has 2 generators
# with the following exponents: 2 2
#
# Calculating the class 8 quotient ...
## Sizes: 2 3 4 5 6 7 9 20
# Maximal entry: 2
# Layer 8 of the lower central series has 2 generators
# with the following exponents: 2 2
#
# Calculating the class 9 quotient ...
## Sizes: 2 3 4 5 6 7 9 11 26
# Maximal entry: 4
# Layer 9 of the lower central series has 2 generators
# with the following exponents: 2 2
#
# Calculating the class 10 quotient ...
## Sizes: 2 3 4 5 6 7 9 11 13 32
# Maximal entry: 4
# Layer 10 of the lower central series has 1 generators
# with the following exponents: 2
#
# Calculating the class 11 quotient ...
## Sizes: 2 3 4 5 6 7 9 11 13 14 35
# Integer matrix is the identity.
# Maximal entry: 5
# The epimorphism :
# e1 |---> A
# e2 |---> B
# The nilpotent quotient :
<A,B,C,D,E,F,G,H,I,J,K,L,M,N
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G^2 = H*I*J*K*L*M,
H^2 = K,
I^2 = J*M*N,
J^2 = M,
K^2 = L,
L^2,
M^2 = N,
N^2,
B^A =: B*C,
B^(A^-1) = B*C^-1,
C^A = C,
C^(A^-1) = C,
C^B =: C*D,
C^(B^-1) = C*D^-1*E*J,
D^A = D*F*K*L,
D^(A^-1) = D*F^-1*H*L,
D^B =: D*E,
D^(B^-1) = D*E^-1*I,
D^C = D*F*K*L,
D^(C^-1) = D*F^-1*H*L,
E^A =: E*F,
E^(A^-1) = E*F^-1*H*K,
E^B = E*I,
E^(B^-1) = E*I*J,
E^C = E*G*I*J*K*L*M,
E^(C^-1) = E*G*H*M*N,
E^D = E*I,
E^(D^-1) = E*I*J,
F^A = F*H*K*L,
F^(A^-1) = F*H*L,
F^B =: F*G,
F^(B^-1) = F*G*H*J*N,
F^C = F*H*K*L,
F^(C^-1) = F*H*L,
F^D = F*K*M,
F^(D^-1) = F*K*L*M*N,
F^E = F*M,
F^(E^-1) = F*M*N,
G^A =: G*H,
G^(A^-1) = G*H*K,
G^B =: G*I,
G^(B^-1) = G*I*J,
G^C = G*J*K*L*N,
G^(C^-1) = G*J*K*M*N,
G^D = G,
G^(D^-1) = G,
G^E = G,
G^(E^-1) = G,
H^A = H*L,
H^(A^-1) = H*L,
H^B =: H*J,
H^(B^-1) = H*J*M*N,
H^C = H*L,
H^(C^-1) = H*L,
H^D = H,
H^(D^-1) = H,
I^A =: I*K,
I^(A^-1) = I*K*L,
I^B = I,
I^(B^-1) = I,
I^C = I*M*N,
I^(C^-1) = I*M,
I^D = I,
I^(D^-1) = I,
J^A =: J*L,
J^(A^-1) = J*L,
J^B = J,
J^(B^-1) = J,
J^C = J*N,
J^(C^-1) = J*N,
K^A = K,
K^(A^-1) = K,
K^B =: K*M,
K^(B^-1) = K*M*N,
K^C = K,
K^(C^-1) = K,
L^A = L,
L^(A^-1) = L,
L^B =: L*N,
L^(B^-1) = L*N,
M^A = M,
M^(A^-1) = M,
M^B = M,
M^(B^-1) = M >
# Class : 10
# Nr of generators of each class : 2 1 1 1 1 1 2 2 2 1
# The definitions:
# C := [ B, A ]
# D := [ B, A, B ]
# E := [ B, A, B, B ]
# F := [ B, A, B, B, A ]
# G := [ B, A, B, B, A, B ]
# H := [ B, A, B, B, A, B, A ]
# I := [ B, A, B, B, A, B, B ]
# J := [ B, A, B, B, A, B, A, B ]
# K := [ B, A, B, B, A, B, B, A ]
# L := [ B, A, B, B, A, B, A, B, A ]
# M := [ B, A, B, B, A, B, B, A, B ]
# N := [ B, A, B, B, A, B, A, B, A, B ]
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