testing.sagews

continued_fraction(e)

%typeset_mode True

[2; 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, 1, 1, 10, 1, 1, 12, 1, 1, ...]

F = SymmetricGroup(4)
a1 = [(1,2), (1,2,3)]
a2 = [(1,3), (2,4)]
H = F.subgroup(a1, a2)
H.is_commutative

<bound method PermutationGroup_subgroup_with_category.is_commutative of Subgroup of (Symmetric group of order 4! as a permutation group) generated by [(1,2), (1,2,3)]>

G = SymmetricGroup(4)
G.conjugacy_classes_subgroups()
G.conjugacy_classes_representatives()

[(), (1,2), (1,2)(3,4), (1,2,3), (1,2,3,4)]

    stats.TimeSeries(1000).randomize('normal').sums().plot()

︠4f147d81-d0df-4424-bb0b-d0ba46617c9b︠
PSL(3,7).composition_series()

[Subgroup of (The projective special linear group of degree 3 over Finite Field of size 7) generated by [(3,4,5,6,7,8)(10,15,14,13,12,11)(16,44,30)(17,50,35,20,47,32)(18,45,36,21,48,33)(19,46,31,22,49,34)(23,51,37)(24,57,42,27,54,39)(25,52,43,28,55,40)(26,53,38,29,56,41), (1,2,9,13,41,3,16,11,27,57,31,54,52,38,6,37)(4,23,15,55,17,46,35,40)(5,30,12,34,33,26,50,21,32,19,18,53,45,28,22,39)(7,44,14,48,49,56,24,36,47,42,8,51,10,20,25,43)], Subgroup of (The projective special linear group of degree 3 over Finite Field of size 7) generated by [()]]

︠65360493-3577-4ab5-a1fc-d040cbd4d258s︠

units.power

Collection of units of power: cheval_vapeur horsepower watt