I am writing a python module using SageMath9.4. Basically, I want to import this module into juypterlab notebooks (running a SageMath 9.4 kernel) to do calculations etc.
Here is the start of it:
class Coxeter_System:
'''This class defines the standard root system associated to an abstract Coxeter group.'''
def __init__(self, coxeter_matrix):
'''Sets up a Coxeter system and root system. At this stage, limited to up to rank 7.
'''
def set_up_coefficient_space(coxeter_matrix):
'''Sets up a polynomial ring a Free module over a polynomial ring quotiented by the minimal polynomials of the
non-rational cos(pi/m_ij) values.
This is so roots can be compared using an abstract free module rather than over reals'''
A = coxeter_matrix
k = len(A.rows())
# Get the cos(pi/m_ij) which are irrational
non_rational_angles = [x for x in [cos(pi/x) for x in set(A[i,j] for i in range(0,k) for j in range(0,k))] if x not in QQ]
However, when I open another Juypterlab session, import the python module and try to create an instance of the object "Coxeter_System", I get the following error (I have tried to do from math import cos
both from the notebook where I want to import the module to, and in the module itself, but I still get the same error.
Any help would be greatly appreciated!):
NameError Traceback (most recent call last)
<ipython-input-6-6b542b6cb042> in <module>
----> 1 W = c.Coxeter_System(Matrix([[Integer(1),Integer(3),Integer(4)],[Integer(3),Integer(1),Integer(3)],[Integer(4),Integer(3),Integer(1)]]))
~/coxeter_groups.py in __init__(self, coxeter_matrix)
60 return matrix(R,k,B)
61
---> 62 R = set_up_coefficient_space(coxeter_matrix)
63 A = coxeter_matrix
64 k = len(A.rows())
~/coxeter_groups.py in set_up_coefficient_space(coxeter_matrix)
17
18 # Get the cos(pi/m_ij) which are irrational
---> 19 non_rational_angles = [x for x in [cos(pi/x) for x in set(A[i,j] for i in range(0,k) for j in range(0,k))] if x not in QQ]
20
21 # sort the irrational values of cos(pi/m_ij) in ascending order
~/coxeter_groups.py in <listcomp>(.0)
17
18 # Get the cos(pi/m_ij) which are irrational
---> 19 non_rational_angles = [x for x in [cos(pi/x) for x in set(A[i,j] for i in range(0,k) for j in range(0,k))] if x not in QQ]
20
21 # sort the irrational values of cos(pi/m_ij) in ascending order
NameError: name 'cos' is not defined
from NameError: name 'cos' is not defined, sageMath9.4
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