In [7]:
L[44].plot()
Out[7]:
# In Macaulay2 we compute the Betti tables of these graph curves
# Graphs 9 and 44 yield graph curves with pure Betti tables
L[9].automorphism_group().cardinality()
16
L[44].automorphism_group().cardinality()
18
L[44].plot()
L[44].automorphism_group()
Permutation Group with generators [(1,9)(2,11)(3,8)(4,7)(5,6), (0,1)(2,6)(4,5)(8,10)(9,11)]
L[44].is_planar()
False