Free Group on generators {x, y}
2
[x^2, y^3, x*y*x*y^-1]
Finitely presented group < x, y | x^2, y^3, x*y*x*y^-1 >
Congruence Subgroup Gamma(2)
[[1 2]
[0 1], [ 3 -2]
[ 2 -1], [-1 0]
[ 0 -1]]
Arithmetic subgroup with permutations of right cosets
S2=(1,4)(2,6)(3,5)
S3=(1,2,3)(4,5,6)
L=(1,5)(2,4)(3,6)
R=(1,6)(2,5)(3,4)
3
6
<free group on the generators [ x, y ]> y <fp group on the generators [ x, y ]> <fp group on the generators [ x, y ]>
Error in lines 1-6
Traceback (most recent call last):
File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1013, in execute
exec compile(block+'\n', '', 'single') in namespace, locals
File "", line 1, in <module>
File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1056, in execute_with_code_decorators
code_decorators = [eval(code_decorator, self.namespace) for code_decorator in code_decorators]
File "<string>", line 1
%gap
^
SyntaxError: invalid syntax