>> Perhaps I am going crazy, but I get: >> >> ---------------------------------------------------------------------- >> | Sage Version 4.1, Release Date: 2009-07-09 | >> | Type notebook() for the GUI, and license() for information. | >> ---------------------------------------------------------------------- >> Loading Sage library. Current Mercurial branch is: combinat >> sage: DynkinDiagram(["E",7,1]) >> >> O 2 >> | >> | >> O---O---O---O---O---O---O >> 0 1 3 4 5 6 7 >> E7~ >> sage: DynkinDiagram(["E",7]) >> >> O 2 >> | >> | >> O---O---O---O---O---O >> 1 3 4 5 6 7 >> E7 >> >> This is with all sage-combinat patches applied. What could be wrong? > > Hmm, hmm, hmm. Can you do: > > DynkinDiagram(["E",7]).edges() > DynkinDiagram(["E",7,1]).edges()
sage: DynkinDiagram(["E",7]).edges() [(1, 3, 1), (2, 4, 1), (3, 1, 1), (3, 4, 1), (4, 2, 1), (4, 3, 1), (4, 5, 1), (5, 4, 1), (5, 6, 1), (6, 5, 1), (6, 7, 1), (7, 6, 1)] sage: DynkinDiagram(["E",7,1]).edges() [(0, 1, 1), (1, 0, 1), (1, 3, 1), (2, 4, 1), (3, 1, 1), (3, 4, 1), (4, 2, 1), (4, 3, 1), (4, 5, 1), (5, 4, 1), (5, 6, 1), (6, 5, 1), (6, 7, 1), (7, 6, 1)] So I suppose even in the finite Dynkin diagram 2 is attached to 4, is this right? > to see if it's only the drawing which is wrong (which I expect: to > start with, the "|" should be well aligned with the 4, which it is not > in your picture) or the graph itself. > > Is the copy-paste above in emacs? in the command line? in the notebook? Ok, the offset is probably from e-mail, but I am using the command line and in the picture 2 is attached to 5 in the finite Dynkin diagram, but to 4 in the affine Dynkin diagram. > Also, please run the tests on cartan_type.py and type_E.py. sage -t "4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py" ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 182: sage: CartanType(['A',2],['B',2]) Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_0[34]>", line 1, in <module> CartanType(['A',Integer(2)],['B',Integer(2)])###line 182: sage: CartanType(['A',2],['B',2]) File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 477, in __call__ return type_reducible.CartanType([ CartanType(subtype) for subtype in t ]) File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_reducible.py", line 44, in __init__ self.tools = root_system.type_reducible AttributeError: 'module' object has no attribute 'type_reducible' ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 184: sage: CartanType([['A',2],['B',2]]) Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_0[35]>", line 1, in <module> CartanType([['A',Integer(2)],['B',Integer(2)]])###line 184: sage: CartanType([['A',2],['B',2]]) File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 477, in __call__ return type_reducible.CartanType([ CartanType(subtype) for subtype in t ]) File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_reducible.py", line 44, in __init__ self.tools = root_system.type_reducible AttributeError: 'module' object has no attribute 'type_reducible' ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 186: sage: CartanType(['A',2],['B',2]).is_reducible() Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_0[36]>", line 1, in <module> CartanType(['A',Integer(2)],['B',Integer(2)]).is_reducible()###line 186: sage: CartanType(['A',2],['B',2]).is_reducible() File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 477, in __call__ return type_reducible.CartanType([ CartanType(subtype) for subtype in t ]) File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_reducible.py", line 44, in __init__ self.tools = root_system.type_reducible AttributeError: 'module' object has no attribute 'type_reducible' ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 191: sage: CartanType("A2xB2") Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_0[37]>", line 1, in <module> CartanType("A2xB2")###line 191: sage: CartanType("A2xB2") File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 376, in __call__ return type_reducible.CartanType([CartanType(u) for u in t.split("x")]) File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_reducible.py", line 44, in __init__ self.tools = root_system.type_reducible AttributeError: 'module' object has no attribute 'type_reducible' ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 193: sage: CartanType("A2","B2") == CartanType("A2xB2") Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_0[38]>", line 1, in <module> CartanType("A2","B2") == CartanType("A2xB2")###line 193: sage: CartanType("A2","B2") == CartanType("A2xB2") File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 477, in __call__ return type_reducible.CartanType([ CartanType(subtype) for subtype in t ]) File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_reducible.py", line 44, in __init__ self.tools = root_system.type_reducible AttributeError: 'module' object has no attribute 'type_reducible' ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 201: sage: CartanType(["I",1]) Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_0[39]>", line 1, in <module> CartanType(["I",Integer(1)])###line 201: sage: CartanType(["I",1]) File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 419, in __call__ return CartanType([["A", 1], ["A", 1]]) File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 477, in __call__ return type_reducible.CartanType([ CartanType(subtype) for subtype in t ]) File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_reducible.py", line 44, in __init__ self.tools = root_system.type_reducible AttributeError: 'module' object has no attribute 'type_reducible' ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 713: sage: CartanType("A2xB3").is_reducible() Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_11[2]>", line 1, in <module> CartanType("A2xB3").is_reducible()###line 713: sage: CartanType("A2xB3").is_reducible() File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 376, in __call__ return type_reducible.CartanType([CartanType(u) for u in t.split("x")]) File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_reducible.py", line 44, in __init__ self.tools = root_system.type_reducible AttributeError: 'module' object has no attribute 'type_reducible' ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 1444: sage: ct == loads(dumps(ct)) Expected: True Got: False ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py", line 1485: sage: T == loads(dumps(T)) Expected: True Got: False ********************************************************************** 4 items had failures: 6 of 59 in __main__.example_0 1 of 4 in __main__.example_11 1 of 10 in __main__.example_55 1 of 5 in __main__.example_57 ***Test Failed*** 9 failures. For whitespace errors, see the file ./.doctest_cartan_type.py [22.0 s] exit code: 1024 ---------------------------------------------------------------------- The following tests failed: sage -t "4.1/devel/sage-combinat/sage/combinat/root_system/cartan_type.py" Total time for all tests: 22.0 seconds d197:/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system anne$ sage -t type_E.py sage -t "4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py" ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 502: sage: print CartanType(['E',6]).ascii_art(label = lambda x: x+2) Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_11[2]>", line 1, in <module> print CartanType(['E',Integer(6)]).ascii_art(label = lambda x: x+Integer(2))###line 502: sage: print CartanType(['E',6]).ascii_art(label = lambda x: x+2) File "/Applications/sage/local/lib/python/site-packages/sage/misc/classcall_metaclass.py", line 89, in __call__ return cls.__classcall__(cls, *args, **options) File "/Applications/sage/local/lib/python/site-packages/sage/misc/cachefunc.py", line 86, in __call__ if cache.has_key(k): TypeError: unhashable type: 'list' ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 508: sage: print CartanType(['E',7]).ascii_art(label = lambda x: x+2) Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_11[3]>", line 1, in <module> print CartanType(['E',Integer(7)]).ascii_art(label = lambda x: x+Integer(2))###line 508: sage: print CartanType(['E',7]).ascii_art(label = lambda x: x+2) File "/Applications/sage/local/lib/python/site-packages/sage/misc/classcall_metaclass.py", line 89, in __call__ return cls.__classcall__(cls, *args, **options) File "/Applications/sage/local/lib/python/site-packages/sage/misc/cachefunc.py", line 86, in __call__ if cache.has_key(k): TypeError: unhashable type: 'list' ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 514: sage: print CartanType(['E',8]).ascii_art(label = lambda x: x+1) Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_11[4]>", line 1, in <module> print CartanType(['E',Integer(8)]).ascii_art(label = lambda x: x+Integer(1))###line 514: sage: print CartanType(['E',8]).ascii_art(label = lambda x: x+1) File "/Applications/sage/local/lib/python/site-packages/sage/misc/classcall_metaclass.py", line 89, in __call__ return cls.__classcall__(cls, *args, **options) File "/Applications/sage/local/lib/python/site-packages/sage/misc/cachefunc.py", line 86, in __call__ if cache.has_key(k): TypeError: unhashable type: 'list' ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 441: sage: ct = CartanType(['E',6]) Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_9[2]>", line 1, in <module> ct = CartanType(['E',Integer(6)])###line 441: sage: ct = CartanType(['E',6]) File "/Applications/sage/local/lib/python/site-packages/sage/misc/classcall_metaclass.py", line 89, in __call__ return cls.__classcall__(cls, *args, **options) File "/Applications/sage/local/lib/python/site-packages/sage/misc/cachefunc.py", line 86, in __call__ if cache.has_key(k): TypeError: unhashable type: 'list' ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 442: sage: ct Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_9[3]>", line 1, in <module> ct###line 442: sage: ct NameError: name 'ct' is not defined ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 444: sage: ct._repr_(compact = True) Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_9[4]>", line 1, in <module> ct._repr_(compact = True)###line 444: sage: ct._repr_(compact = True) NameError: name 'ct' is not defined ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 446: sage: ct.is_irreducible() Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_9[5]>", line 1, in <module> ct.is_irreducible()###line 446: sage: ct.is_irreducible() NameError: name 'ct' is not defined ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 448: sage: ct.is_finite() Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_9[6]>", line 1, in <module> ct.is_finite()###line 448: sage: ct.is_finite() NameError: name 'ct' is not defined ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 450: sage: ct.is_affine() Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_9[7]>", line 1, in <module> ct.is_affine()###line 450: sage: ct.is_affine() NameError: name 'ct' is not defined ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 452: sage: ct.is_crystalographic() Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_9[8]>", line 1, in <module> ct.is_crystalographic()###line 452: sage: ct.is_crystalographic() NameError: name 'ct' is not defined ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 454: sage: ct.is_simply_laced() Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_9[9]>", line 1, in <module> ct.is_simply_laced()###line 454: sage: ct.is_simply_laced() NameError: name 'ct' is not defined ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 456: sage: ct.affine() Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_9[10]>", line 1, in <module> ct.affine()###line 456: sage: ct.affine() NameError: name 'ct' is not defined ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 458: sage: ct.dual() Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_9[11]>", line 1, in <module> ct.dual()###line 458: sage: ct.dual() NameError: name 'ct' is not defined ********************************************************************** File "/Applications/sage-4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py", line 462: sage: ct == loads(dumps(ct)) Exception raised: Traceback (most recent call last): File "/Applications/sage/local/bin/ncadoctest.py", line 1231, in run_one_test self.run_one_example(test, example, filename, compileflags) File "/Applications/sage/local/bin/sagedoctest.py", line 38, in run_one_example OrigDocTestRunner.run_one_example(self, test, example, filename, compileflags) File "/Applications/sage/local/bin/ncadoctest.py", line 1172, in run_one_example compileflags, 1) in test.globs File "<doctest __main__.example_9[12]>", line 1, in <module> ct == loads(dumps(ct))###line 462: sage: ct == loads(dumps(ct)) NameError: name 'ct' is not defined ********************************************************************** 2 items had failures: 3 of 5 in __main__.example_11 11 of 13 in __main__.example_9 ***Test Failed*** 14 failures. For whitespace errors, see the file ./.doctest_type_E.py [20.1 s] exit code: 1024 ---------------------------------------------------------------------- The following tests failed: sage -t "4.1/devel/sage-combinat/sage/combinat/root_system/type_E.py" Total time for all tests: 20.1 seconds --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "sage-combinat-devel" group. To post to this group, send email to sage-combinat-devel@googlegroups.com To unsubscribe from this group, send email to sage-combinat-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-combinat-devel?hl=en -~----------~----~----~----~------~----~------~--~---