Non generic trees associated to Extremal G2:

Leaf labels:
{0: E6, 1: E5, 2: F26, 3: F12, 4: F23, 5: E4, 6: F25, 7: E3, 8: E1, 9: F24}

Cone b
Leaves and Vertices:
([0], [+Infinity, 3*r4, 3*r4, 3*r4, 3*r4, 3*r4, 2*r4, 3*r4, 3*r4, 2*r4], False)
([1], [2*r4, +Infinity, r4, r4, r4, r4, 0, r4, r4, 0], False)
([2], [r4, 0, +Infinity, r4, r4, 0, r4, r4, r4, r4], False)
([3], [r4, 0, r4, +Infinity, r4, 0, 0, r4, g0 + r4, 0], False)
([4], [2*r4, r4, 2*r4, 2*r4, +Infinity, r4, r4, g1 + 2*r4, 2*r4, r4], False)
([5], [2*r4, r4, r4, r4, r4, +Infinity, 0, r4, r4, 0], False)
([6], [r4, 0, 2*r4, r4, r4, 0, +Infinity, r4, r4, r4], False)
([7], [3*r4, 2*r4, 3*r4, 3*r4, g1 + 3*r4, 2*r4, 2*r4, +Infinity, 3*r4, 2*r4], False)
([8], [3*r4, 2*r4, 3*r4, g0 + 3*r4, 3*r4, 2*r4, 2*r4, 3*r4, +Infinity, 2*r4], False)
([9], [r4, 0, 2*r4, r4, r4, 0, r4, r4, r4, +Infinity], False)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [3*r4, 2*r4, 3*r4, 3*r4, 3*r4, 2*r4, 2*r4, 3*r4, 3*r4, 2*r4], True)
([4, 7], [2*r4, r4, 2*r4, 2*r4, g1 + 2*r4, r4, r4, g1 + 2*r4, 2*r4, r4], True)
([3, 8], [r4, 0, r4, g0 + r4, r4, 0, 0, r4, g0 + r4, 0], True)
([2, 6, 9], [r4, 0, 2*r4, r4, r4, 0, r4, r4, r4, r4], True)
([0, 1, 5], [4*r4, 3*r4, 3*r4, 3*r4, 3*r4, 3*r4, 2*r4, 3*r4, 3*r4, 2*r4], True)
Distances: 
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [4, 7], abs(g1))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [3, 8], abs(g0))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [2, 6, 9], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 5], abs(r4))
Parameters:
g1: Cross84 - Yoshida38
g0: Cross9 - Yoshida37


Cone a4
Leaves and Vertices:
([0], [+Infinity, 6*r4, g3 + 7*r4, 7*r4, 7*r4, 6*r4, 6*r4, 6*r4, 7*r4, 6*r4], False)
([1], [5*r4, +Infinity, 3*r4, 4*r4, 3*r4, 4*r4, 2*r4, 3*r4, 3*r4, 2*r4], False)
([2], [g3 + 6*r4, 3*r4, +Infinity, 4*r4, 4*r4, 3*r4, 3*r4, 3*r4, 4*r4, 3*r4], False)
([3], [r4, -r4, -r4, +Infinity, -r4, -r4, -2*r4, 0, -r4, -2*r4], False)
([4], [6*r4, 3*r4, 4*r4, 4*r4, +Infinity, 3*r4, 4*r4, 3*r4, 6*r4, 4*r4], False)
([5], [6*r4, 5*r4, 4*r4, 5*r4, 4*r4, +Infinity, 3*r4, 4*r4, 4*r4, 3*r4], False)
([6], [5*r4, 2*r4, 3*r4, 3*r4, 4*r4, 2*r4, +Infinity, 2*r4, 4*r4, 4*r4], False)
([7], [9*r4, 7*r4, 7*r4, 9*r4, 7*r4, 7*r4, 6*r4, +Infinity, 7*r4, 6*r4], False)
([8], [8*r4, 5*r4, 6*r4, 6*r4, 8*r4, 5*r4, 6*r4, 5*r4, +Infinity, 6*r4], False)
([9], [5*r4, 2*r4, 3*r4, 3*r4, 4*r4, 2*r4, 4*r4, 2*r4, 4*r4, +Infinity], False)
([4, 6, 8, 9], [6*r4, 3*r4, 4*r4, 4*r4, 5*r4, 3*r4, 4*r4, 3*r4, 5*r4, 4*r4], True)
([1, 3, 5, 7], [5*r4, 3*r4, 3*r4, 4*r4, 3*r4, 3*r4, 2*r4, 3*r4, 3*r4, 2*r4], True)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [9*r4, 6*r4, 7*r4, 7*r4, 7*r4, 6*r4, 6*r4, 6*r4, 7*r4, 6*r4], True)
([6, 9], [5*r4, 2*r4, 3*r4, 3*r4, 4*r4, 2*r4, 4*r4, 2*r4, 4*r4, 4*r4], True)
([4, 8], [6*r4, 3*r4, 4*r4, 4*r4, 6*r4, 3*r4, 4*r4, 3*r4, 6*r4, 4*r4], True)
([3, 7], [r4, -r4, -r4, r4, -r4, -r4, -2*r4, 0, -r4, -2*r4], True)
([1, 5], [5*r4, 4*r4, 3*r4, 4*r4, 3*r4, 4*r4, 2*r4, 3*r4, 3*r4, 2*r4], True)
([0, 2], [g3 + 9*r4, 6*r4, g3 + 7*r4, 7*r4, 7*r4, 6*r4, 6*r4, 6*r4, 7*r4, 6*r4], True)
Distances: 
([4, 6, 8, 9], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], abs(-r4))
([4, 6, 8, 9], [6, 9], abs(-r4))
([4, 6, 8, 9], [4, 8], abs(-r4))
([1, 3, 5, 7], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], abs(-r4))
([1, 3, 5, 7], [3, 7], abs(-r4))
([1, 3, 5, 7], [1, 5], abs(-r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 2], abs(g3))
Parameters:
g3: Cross110 - Yoshida36