Hello,
some more trouble:
[EMAIL PROTECTED] sage-2.8.14$ ./sage
----------------------------------------------------------------------
| SAGE Version 2.8.14, Release Date: 2007-11-24 |
| Type notebook() for the GUI, and license() for information. |
----------------------------------------------------------------------
sage: graphs_query = GraphDatabase()
sage: L = graphs_query.get_list(num_vertices=Integer(4))
sage: for g in L:
....: G = g.automorphism_group()
....: G = g.automorphism_group()
....: G.order(), G.gens()
....:
(24, ((2,3), (1,2), (1,4)))
(4, ((2,3), (1,4)))
(2, ((1,2),))
(8, ((1,2), (1,4)(2,3)))
(6, ((1,2), (1,4)))
(6, ((2,3), (1,2)))
(2, ((1,4)(2,3),))
(2, ((1,2),))
(8, ((2,3), (1,4), (1,3)(2,4)))
(4, ((2,3), (1,4)))
(24, ((2,3), (1,2), (1,4)))
sage: C = graphs.CubeGraph(Integer(4))
sage: G = C.automorphism_group()
sage: M = G.character_table()
sage: type(M)
<type 'sage.matrix.matrix_generic_dense.Matrix_generic_dense'>
sage: M
20 x 20 dense matrix over Cyclotomic Field of order 1 and degree 1
sage: M.de
M.decomposition M.dense_columns M.density
M.decomposition_of_subspace M.dense_matrix M.det
M.denominator M.dense_rows
M.determinant
sage: M.det()
MulMod: bad args
---------------------------------------------------------------------------
<type 'exceptions.RuntimeError'> Traceback (most recent call
last)
/tmp/Work-mabshoff/sage-2.8.14/<ipython console> in <module>()
/tmp/Work-mabshoff/sage-2.8.14/matrix2.pyx in
sage.matrix.matrix2.Matrix.det()
/tmp/Work-mabshoff/sage-2.8.14/matrix2.pyx in
sage.matrix.matrix2.Matrix.determinant()
/tmp/Work-mabshoff/sage-2.8.14/matrix2.pyx in
sage.matrix.matrix2.Matrix.charpoly()
/tmp/Work-mabshoff/sage-2.8.14/matrix2.pyx in
sage.matrix.matrix2.Matrix._charpoly_hessenberg()
/tmp/Work-mabshoff/sage-2.8.14/matrix2.pyx in
sage.matrix.matrix2.Matrix.hessenberg_form()
/tmp/Work-mabshoff/sage-2.8.14/matrix2.pyx in
sage.matrix.matrix2.Matrix.hessenbergize()
/tmp/Work-mabshoff/sage-2.8.14/element.pyx in
sage.structure.element.RingElement.__div__()
/tmp/Work-mabshoff/sage-2.8.14/coerce.pxi in
sage.structure.element._div_c()
<type 'exceptions.RuntimeError'>:
sage:
I do suspect some interaction between the fact that int_fast64_t has
to be defined as a 4 byte type, i.e. long instead of long long,
otherwise ntl_lzz complains at startup [I will post that message once
I have recompiled the whole sage lib with "typedef long long
int_fast64_t;" - but that will take a while]:
[EMAIL PROTECTED] sage-2.8.3$ cat dummy.c
#include "stdio.h"
int main()
{
printf("sizeof(long): %d\n",sizeof(long));
printf("sizeof(long long): %d\n",sizeof(long long));
}
[EMAIL PROTECTED] sage-2.8.3$ ./a.out
sizeof(long): 4
sizeof(long long): 8
[EMAIL PROTECTED] sage-2.8.3$ cat local/include/stdint.h
typedef int int_fast32_t;
typedef long int_fast64_t; // this is *wrong* on 32 bits! It needs to
be a long long
This is supported by the following doctest failure:
**********************************************************************
File "integer_mod.pyx", line 850:
sage: a.crt(b)
Exception raised:
Traceback (most recent call last):
File "/tmp/Work-mabshoff/sage-2.8.14/local/lib/python2.5/
doctest.py", line 1212, in __run
compileflags, 1) in test.globs
File "<doctest __main__.example_22[5]>", line 1, in <module>
a.crt(b)###line 850:
sage: a.crt(b)
File "integer_mod.pyx", line 862, in
sage.rings.integer_mod.IntegerMod_abstract.crt
return self.__crt(other)
File "integer_mod.pyx", line 2033, in
sage.rings.integer_mod.IntegerMod_int64.__crt
def __crt(IntegerMod_int64 self, IntegerMod_int64 other):
TypeError: Argument 'other' has incorrect type (expected
sage.rings.integer_mod.IntegerMod_int64, got
sage.rings.integer_mod.IntegerMod_int)
**********************************************************************
Also the following doctest failures seems to indicate pretty clearly
that something very basic is wrong:
sage -t devel/sage-main/sage/rings/integer_mod.pyx
**********************************************************************
File "integer_mod.pyx", line 29:
sage: a * b
Expected:
851127
Got:
-300468
**********************************************************************
File "integer_mod.pyx", line 632:
sage: [x^2 for x in v]
Expected:
[406444, 406444, 406444, 406444, 406444, 406444, 406444, 406444]
Got:
[343463, -188944, -377887, -160385, -286347, 337600, 366159,
-355191]
**********************************************************************
So, any ideas? I am hoping that at least somebody reads this and is
not immediately frightened away by the the word "Solaris" in the
subject :)
Cheers,
Michael
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