/usr/share/gap/lib/mat8bit.gd is in gap-libs 4r7p5-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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##
#W mat8bit.gd GAP Library Steve Linton
##
##
#Y Copyright (C) 1997, Lehrstuhl D für Mathematik, RWTH Aachen, Germany
#Y (C) 1998 School Math and Comp. Sci., University of St Andrews, Scotland
#Y Copyright (C) 2002 The GAP Group
##
## This file should possibly be called mat8bit.g (see also vecmat.gd)
## It provides some things that the kernel needs from the library
##
#############################################################################
##
#R Is8BitMatrixRep( <obj> ) . . . compressed vector over GFQ (3 <= q <= 256)
##
DeclareRepresentation( "Is8BitMatrixRep",
IsPositionalObjectRep and IsRowListMatrix,[],
IsMatrix );
#############################################################################
##
#v TYPES_MAT8BIT . . . . . . . . prepared types for compressed GF(q) vectors
##
## A length 2 list of length 257 lists. TYPES_MAT8BIT[1][q] will be the type
## of mutable vectors over GF(q), TYPES_MAT8BIT[2][q] is the type of
## immutable vectors. The 257th position is bound to 1 to stop the lists
## shrinking.
##
## It is accessed directly by the kernel, so the format cannot be changed
## without changing the kernel.
##
DeclareGlobalVariable( "TYPES_MAT8BIT" );
#############################################################################
##
#F TYPE_MAT8BIT( <q>, <mut> ) . . computes type of compressed GF(q) vectors
##
## Normally called by the kernel, caches results in TYPES_MAT8BIT
##
DeclareGlobalFunction( "TYPE_MAT8BIT" );
#############################################################################
##
#M IsConstantTimeAccessList( <obj> )
#M IsSmallList( <obj> )
#M IsListDefault( <obj> )
##
## All compressed GF(q) vectors are small and constant-time access,
## and support the default list arithmetic (multiplication and addition).
##
InstallTrueMethod( IsConstantTimeAccessList, IsList and Is8BitMatrixRep );
InstallTrueMethod( IsSmallList, IsList and Is8BitMatrixRep );
InstallTrueMethod( IsListDefault, IsList and Is8BitMatrixRep );
#############################################################################
##
#F RepresentationsOfMatrix( <mat/vec> )
##
## This function is envisaged as a debugging tool. It prints a description
## of the storage of the argument matrix or vector, indicating
## whether the matrix and/or its rows are compressed, over what fields,
## whether they are mutable or immutable and whether they are locked.
##
DeclareGlobalFunction( "RepresentationsOfMatrix" );
#############################################################################
##
#E
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