File: groups.out

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regina-normal 4.5-1
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------------------------
New marked abelian group
------------------------

Group: Z + Z_6
Free generators:
0: [ -1 0 0 0 1 ]
Torsion generators:
0: [ 1 1 -1 0 -1 ]

------------------------
New marked abelian group
------------------------

Group: 2 Z + 2 Z_2
Free generators:
0: [ -1 0 0 1 0 ]
1: [ -1 0 0 0 1 ]
Torsion generators:
0: [ 1 -1 0 0 0 ]
1: [ -3 0 1 1 1 ]

----------------
New homomorphism
----------------

Domain: 2 Z + 2 Z_2
Range: Z + Z_6
Kernel: Z + Z_2
Cokernel: Z_5
Image: Z + Z_6

----------------
New homomorphism
----------------

Domain: 2 Z + 2 Z_2
Range: Z + Z_6
Kernel: Z + Z_2
Cokernel: Z_15
Image: Z + Z_2

----------------
New homomorphism
----------------

Domain: 2 Z + 2 Z_2
Range: Z + Z_6
Kernel: 2 Z + Z_2
Cokernel: Z
Image: Z_6

------------------------------------
Miscellaneous vector representations
------------------------------------

[ ]
[ 6 0 ]
[ 6 2 ]
[ 6 4 ]
[ 6 0 ]
[ ]
[ 4 2 1 1 ]
[ 4 2 0 1 ]