Sage Surface Dynamics Module
'SageMath version 8.2, Release Date: 2018-05-05'
(1,2)(3)
(1,3)(2)
Error in lines 1-1
Traceback (most recent call last):
File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1044, in execute
exec compile(block+'\n', '', 'single', flags=compile_flags) in namespace, locals
File "", line 1, in <module>
File "surface_dynamics/flat_surfaces/origamis/origami_dense.pyx", line 3215, in surface_dynamics.flat_surfaces.origamis.origami_dense.Origami_dense_pyx.sum_of_lyapunov_exponents
return self.teichmueller_curve().sum_of_lyapunov_exponents()
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/surface_dynamics/flat_surfaces/origamis/teichmueller_curve.py", line 367, in sum_of_lyapunov_exponents
K = Integer(1)/Integer(12) * sum(m*(m+2)/(m+1) for m in self.stratum().zeros())
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/surface_dynamics/flat_surfaces/origamis/teichmueller_curve.py", line 226, in stratum
return self[0].stratum()
File "surface_dynamics/flat_surfaces/origamis/origami_dense.pyx", line 3063, in surface_dynamics.flat_surfaces.origamis.origami_dense.Origami_dense_pyx.stratum
degrees = self.vertex_degrees()
File "surface_dynamics/flat_surfaces/origamis/origami_dense.pyx", line 3258, in genexpr
return sorted((v.degree() for v in self.vertices()), reverse=True)
File "surface_dynamics/flat_surfaces/origamis/origami_dense.pyx", line 3258, in genexpr
return sorted((v.degree() for v in self.vertices()), reverse=True)
File "surface_dynamics/flat_surfaces/origamis/origami_dense.pyx", line 3240, in surface_dynamics.flat_surfaces.origamis.origami_dense.Origami_dense_pyx.vertices
return [v for v in self._vertices() if v.degree()]
File "sage/misc/cachefunc.pyx", line 2909, in sage.misc.cachefunc.CachedMethod.__get__ (build/cythonized/sage/misc/cachefunc.c:15723)
Caller = CachedMethodCaller(self, inst,
File "sage/misc/cachefunc.pyx", line 1813, in sage.misc.cachefunc.CachedMethodCaller.__init__ (build/cythonized/sage/misc/cachefunc.c:9837)
cachedmethod._cachedfunc.argfix_init()
File "sage/misc/cachefunc.pyx", line 851, in sage.misc.cachefunc.CachedFunction.argfix_init (build/cythonized/sage/misc/cachefunc.c:4504)
self._argument_fixer = ArgumentFixer(self.f,
File "sage/misc/function_mangling.pyx", line 120, in sage.misc.function_mangling.ArgumentFixer.__init__ (build/cythonized/sage/misc/function_mangling.c:1434)
arg_names, varargs, varkw, defaults = sage_getargspec(f)
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/sage/misc/sageinspect.py", line 1503, in sage_getargspec
source = sage_getsource(obj)
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/sage/misc/sageinspect.py", line 1848, in sage_getsource
t = sage_getsourcelines(obj)
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/sage/misc/sageinspect.py", line 2170, in sage_getsourcelines
return sage_getsourcelines(obj.__class__)
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/sage/misc/sageinspect.py", line 2168, in sage_getsourcelines
return sage_getsourcelines(B)
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/sage/misc/sageinspect.py", line 2171, in sage_getsourcelines
raise err
IOError: source code not available
Error in lines 1-1
Traceback (most recent call last):
File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1044, in execute
exec compile(block+'\n', '', 'single', flags=compile_flags) in namespace, locals
File "", line 1, in <module>
File "surface_dynamics/flat_surfaces/origamis/origami_dense.pyx", line 1611, in surface_dynamics.flat_surfaces.origamis.origami_dense.Origami_dense_pyx.lyapunov_exponents_approx
nb_vectors = self.genus()-1
File "surface_dynamics/flat_surfaces/origamis/origami_dense.pyx", line 3082, in surface_dynamics.flat_surfaces.origamis.origami_dense.Origami_dense_pyx.genus
return self.stratum().genus()
File "surface_dynamics/flat_surfaces/origamis/origami_dense.pyx", line 3063, in surface_dynamics.flat_surfaces.origamis.origami_dense.Origami_dense_pyx.stratum
degrees = self.vertex_degrees()
File "surface_dynamics/flat_surfaces/origamis/origami_dense.pyx", line 3258, in genexpr
return sorted((v.degree() for v in self.vertices()), reverse=True)
File "surface_dynamics/flat_surfaces/origamis/origami_dense.pyx", line 3258, in genexpr
return sorted((v.degree() for v in self.vertices()), reverse=True)
File "surface_dynamics/flat_surfaces/origamis/origami_dense.pyx", line 3240, in surface_dynamics.flat_surfaces.origamis.origami_dense.Origami_dense_pyx.vertices
return [v for v in self._vertices() if v.degree()]
File "sage/misc/cachefunc.pyx", line 2909, in sage.misc.cachefunc.CachedMethod.__get__ (build/cythonized/sage/misc/cachefunc.c:15723)
Caller = CachedMethodCaller(self, inst,
File "sage/misc/cachefunc.pyx", line 1813, in sage.misc.cachefunc.CachedMethodCaller.__init__ (build/cythonized/sage/misc/cachefunc.c:9837)
cachedmethod._cachedfunc.argfix_init()
File "sage/misc/cachefunc.pyx", line 851, in sage.misc.cachefunc.CachedFunction.argfix_init (build/cythonized/sage/misc/cachefunc.c:4504)
self._argument_fixer = ArgumentFixer(self.f,
File "sage/misc/function_mangling.pyx", line 120, in sage.misc.function_mangling.ArgumentFixer.__init__ (build/cythonized/sage/misc/function_mangling.c:1434)
arg_names, varargs, varkw, defaults = sage_getargspec(f)
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/sage/misc/sageinspect.py", line 1503, in sage_getargspec
source = sage_getsource(obj)
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/sage/misc/sageinspect.py", line 1848, in sage_getsource
t = sage_getsourcelines(obj)
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/sage/misc/sageinspect.py", line 2170, in sage_getsourcelines
return sage_getsourcelines(obj.__class__)
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/sage/misc/sageinspect.py", line 2168, in sage_getsourcelines
return sage_getsourcelines(B)
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/sage/misc/sageinspect.py", line 2171, in sage_getsourcelines
raise err
IOError: source code not available
Arithmetic subgroup with permutations of right cosets
S2=(2,3)
S3=(1,2,3)
L=(1,2)
R=(1,3)
H_5(2^4)
[Q_2(1^4)^hyp]
Q_2(1^4)^hyp
H_5(2^4)^odd
[H_3(4), H_3(3, 1), H_3(2^2), H_3(2, 1^2), H_3(1^4)]
2
(1)(2)(3)(4,5)
(1,2,3,4)(5)
- - - - - - - -
(1)(2)(3,4,5)
(1,2,3)(4)(5)
- - - - - - - -
[0.6619595333890421, 0.44903083817447104, 0.22962202171849683, 0.08650300278009455]
Error in lines 1-1
Traceback (most recent call last):
File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1044, in execute
exec compile(block+'\n', '', 'single', flags=compile_flags) in namespace, locals
File "", line 1, in <module>
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/surface_dynamics/flat_surfaces/quadratic_strata.py", line 924, in lyapunov_exponents_H_minus
return perm.lyapunov_exponents_H_plus(**kargs)
File "/ext/sage/sage-8.2_1604/local/lib/python2.7/site-packages/surface_dynamics/interval_exchanges/cover.py", line 864, in lyapunov_exponents_H_plus
dimensions, projections, None, verbose)
File "src/cysignals/signals.pyx", line 263, in cysignals.signals.python_check_interrupt
File "src/cysignals/signals.pyx", line 96, in cysignals.signals.sig_raise_exception
KeyboardInterrupt