Non generic trees associated to Extremal F12:

Leaf labels:
{0: E1, 1: G2, 2: F36, 3: F45, 4: G1, 5: F56, 6: F46, 7: F34, 8: E2, 9: F35}

Cone a
Leaves and Vertices:
([0], [+Infinity, 0, 0, r1, 0, r1, 0, 0, r1, 0], False)
([1], [-r1, +Infinity, -r1, 0, 0, 0, -r1, -r1, -r1, -r1], False)
([2], [0, 0, +Infinity, g3 + r1, 0, r1, 0, 0, 0, 0], False)
([3], [r1, r1, g3 + r1, +Infinity, r1, 2*r1, r1, r1, r1, r1], False)
([4], [r1, 2*r1, r1, 2*r1, +Infinity, 2*r1, r1, r1, r1, r1], False)
([5], [-r1, -r1, -r1, 0, -r1, +Infinity, -r1, g1 - r1, -r1, -r1], False)
([6], [0, 0, 0, r1, 0, r1, +Infinity, 0, 0, g2], False)
([7], [r1, r1, r1, 2*r1, r1, g1 + 2*r1, r1, +Infinity, r1, r1], False)
([8], [r1, 0, 0, r1, 0, r1, 0, 0, +Infinity, 0], False)
([9], [r1, r1, r1, 2*r1, r1, 2*r1, g2 + r1, r1, r1, +Infinity], False)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 0, 0, r1, 0, r1, 0, 0, 0, 0], True)
([6, 9], [0, 0, 0, r1, 0, r1, g2, 0, 0, g2], True)
([5, 7], [-r1, -r1, -r1, 0, -r1, g1, -r1, g1 - r1, -r1, -r1], True)
([2, 3], [0, 0, g3, g3 + r1, 0, r1, 0, 0, 0, 0], True)
([1, 4], [-r1, 0, -r1, 0, 0, 0, -r1, -r1, -r1, -r1], True)
([0, 8], [r1, 0, 0, r1, 0, r1, 0, 0, r1, 0], True)
Distances: 
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [6, 9], abs(g2))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [5, 7], abs(g1))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [2, 3], abs(g3))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 4], abs(r1))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 8], abs(r1))
Parameters:
g3: Cross97 - Yoshida38
g2: Cross81 - Yoshida33
g1: Cross57 - Yoshida32


Cone aa4
Leaves and Vertices:
([0], [+Infinity, 5*r4, 5*r4, r1 + 5*r4, 4*r4, r1 + 6*r4, 5*r4, 4*r4, r1 + 7*r4, 4*r4], False)
([1], [-r1 - r4, +Infinity, -r1 - r4, -r4, 0, -r4, -r1 - 2*r4, -r1 - r4, -r1 - r4, -r1 - r4], False)
([2], [2*r4, 2*r4, +Infinity, g3 + r1 + 2*r4, r4, r1 + 2*r4, r4, r4, 2*r4, r4], False)
([3], [r1 + 6*r4, r1 + 6*r4, g3 + r1 + 6*r4, +Infinity, r1 + 5*r4, 2*r1 + 6*r4, r1 + 5*r4, r1 + 5*r4, r1 + 6*r4, r1 + 5*r4], False)
([4], [r1 + 4*r4, 2*r1 + 6*r4, r1 + 4*r4, 2*r1 + 4*r4, +Infinity, 2*r1 + 4*r4, r1 + 3*r4, r1 + 4*r4, r1 + 4*r4, r1 + 4*r4], False)
([5], [-r1 + r4, -r1, -r1, 0, -r1 - r4, +Infinity, -r1 + r4, -r1 - r4, -r1 + r4, -r1 - r4], False)
([6], [4*r4, 3*r4, 3*r4, r1 + 3*r4, 2*r4, r1 + 5*r4, +Infinity, 2*r4, 4*r4, 2*r4], False)
([7], [r1 + 4*r4, r1 + 5*r4, r1 + 4*r4, 2*r1 + 4*r4, r1 + 4*r4, 2*r1 + 4*r4, r1 + 3*r4, +Infinity, r1 + 4*r4, r1 + 5*r4], False)
([8], [r1 + 7*r4, 5*r4, 5*r4, r1 + 5*r4, 4*r4, r1 + 6*r4, 5*r4, 4*r4, +Infinity, 4*r4], False)
([9], [r1 + 4*r4, r1 + 5*r4, r1 + 4*r4, 2*r1 + 4*r4, r1 + 4*r4, 2*r1 + 4*r4, r1 + 3*r4, r1 + 5*r4, r1 + 4*r4, +Infinity], False)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [2*r4, 2*r4, 2*r4, r1 + 2*r4, r4, r1 + 2*r4, r4, r4, 2*r4, r4], True)
([1, 4, 7, 9], [-r1 - r4, -r1, -r1 - r4, -r4, -r1 - r4, -r4, -r1 - 2*r4, -r1 - r4, -r1 - r4, -r1 - r4], True)
([0, 5, 6, 8], [6*r4, 5*r4, 5*r4, r1 + 5*r4, 4*r4, r1 + 6*r4, 5*r4, 4*r4, 6*r4, 4*r4], True)
([7, 9], [r1 + 4*r4, r1 + 5*r4, r1 + 4*r4, 2*r1 + 4*r4, r1 + 4*r4, 2*r1 + 4*r4, r1 + 3*r4, r1 + 5*r4, r1 + 4*r4, r1 + 5*r4], True)
([5, 6], [-r1 + r4, -r1, -r1, 0, -r1 - r4, 2*r4, -r1 + r4, -r1 - r4, -r1 + r4, -r1 - r4], True)
([2, 3], [2*r4, 2*r4, g3 + 2*r4, g3 + r1 + 2*r4, r4, r1 + 2*r4, r4, r4, 2*r4, r4], True)
([1, 4], [-r1 - r4, r4, -r1 - r4, -r4, 0, -r4, -r1 - 2*r4, -r1 - r4, -r1 - r4, -r1 - r4], True)
([0, 8], [r1 + 7*r4, 5*r4, 5*r4, r1 + 5*r4, 4*r4, r1 + 6*r4, 5*r4, 4*r4, r1 + 7*r4, 4*r4], True)
Distances: 
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 4, 7, 9], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 5, 6, 8], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [2, 3], abs(g3))
([1, 4, 7, 9], [7, 9], abs(-r4))
([1, 4, 7, 9], [1, 4], abs(-r1 - r4))
([0, 5, 6, 8], [5, 6], abs(-r4))
([0, 5, 6, 8], [0, 8], abs(-r1 - r4))
Parameters:
g3: Cross97 - Yoshida38


Cone b
Leaves and Vertices:
([0], [+Infinity, g0 + 3*r4, 2*r4, 2*r4, 3*r4, 2*r4, 2*r4, 2*r4, 3*r4, 2*r4], False)
([1], [g0 + r4, +Infinity, 0, 0, r4, 0, 0, 0, r4, 0], False)
([2], [0, 0, +Infinity, -r4, 0, -r4, -r4, 0, 0, 0], False)
([3], [2*r4, 2*r4, r4, +Infinity, 2*r4, 2*r4, 2*r4, r4, 2*r4, r4], False)
([4], [2*r4, 2*r4, r4, r4, +Infinity, r4, r4, r4, g4 + 2*r4, r4], False)
([5], [0, 0, -r4, 0, 0, +Infinity, 0, -r4, 0, -r4], False)
([6], [r4, r4, 0, r4, r4, r4, +Infinity, 0, r4, 0], False)
([7], [2*r4, 2*r4, 2*r4, r4, 2*r4, r4, r4, +Infinity, 2*r4, 2*r4], False)
([8], [3*r4, 3*r4, 2*r4, 2*r4, g4 + 3*r4, 2*r4, 2*r4, 2*r4, +Infinity, 2*r4], False)
([9], [2*r4, 2*r4, 2*r4, r4, 2*r4, r4, r4, 2*r4, 2*r4, +Infinity], False)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [3*r4, 3*r4, 2*r4, 2*r4, 3*r4, 2*r4, 2*r4, 2*r4, 3*r4, 2*r4], True)
([4, 8], [2*r4, 2*r4, r4, r4, g4 + 2*r4, r4, r4, r4, g4 + 2*r4, r4], True)
([3, 5, 6], [2*r4, 2*r4, r4, 2*r4, 2*r4, 2*r4, 2*r4, r4, 2*r4, r4], True)
([2, 7, 9], [0, 0, 0, -r4, 0, -r4, -r4, 0, 0, 0], True)
([0, 1], [g0 + 3*r4, g0 + 3*r4, 2*r4, 2*r4, 3*r4, 2*r4, 2*r4, 2*r4, 3*r4, 2*r4], True)
Distances: 
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [4, 8], abs(g4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [3, 5, 6], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [2, 7, 9], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1], abs(g0))
Parameters:
g4: Cross114 - Yoshida38
g0: Cross9 - Yoshida37


Cone a4
Leaves and Vertices:
([0], [+Infinity, 5*r4, 5*r4, 5*r4, 4*r4, 6*r4, 5*r4, 4*r4, 7*r4, 4*r4], False)
([1], [-r4, +Infinity, -r4, -r4, 0, -r4, -2*r4, -r4, -r4, -r4], False)
([2], [2*r4, 2*r4, +Infinity, g3 + 2*r4, r4, 2*r4, r4, r4, 2*r4, r4], False)
([3], [6*r4, 6*r4, g3 + 6*r4, +Infinity, 5*r4, 6*r4, 5*r4, 5*r4, 6*r4, 5*r4], False)
([4], [4*r4, 6*r4, 4*r4, 4*r4, +Infinity, 4*r4, 3*r4, 4*r4, 4*r4, 4*r4], False)
([5], [r4, 0, 0, 0, -r4, +Infinity, r4, -r4, r4, -r4], False)
([6], [4*r4, 3*r4, 3*r4, 3*r4, 2*r4, 5*r4, +Infinity, 2*r4, 4*r4, 2*r4], False)
([7], [4*r4, 5*r4, 4*r4, 4*r4, 4*r4, 4*r4, 3*r4, +Infinity, 4*r4, 5*r4], False)
([8], [7*r4, 5*r4, 5*r4, 5*r4, 4*r4, 6*r4, 5*r4, 4*r4, +Infinity, 4*r4], False)
([9], [4*r4, 5*r4, 4*r4, 4*r4, 4*r4, 4*r4, 3*r4, 5*r4, 4*r4, +Infinity], False)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [2*r4, 2*r4, 2*r4, 2*r4, r4, 2*r4, r4, r4, 2*r4, r4], True)
([1, 4, 7, 9], [-r4, 0, -r4, -r4, -r4, -r4, -2*r4, -r4, -r4, -r4], True)
([0, 5, 6, 8], [6*r4, 5*r4, 5*r4, 5*r4, 4*r4, 6*r4, 5*r4, 4*r4, 6*r4, 4*r4], True)
([7, 9], [4*r4, 5*r4, 4*r4, 4*r4, 4*r4, 4*r4, 3*r4, 5*r4, 4*r4, 5*r4], True)
([5, 6], [r4, 0, 0, 0, -r4, 2*r4, r4, -r4, r4, -r4], True)
([2, 3], [2*r4, 2*r4, g3 + 2*r4, g3 + 2*r4, r4, 2*r4, r4, r4, 2*r4, r4], True)
([1, 4], [-r4, r4, -r4, -r4, 0, -r4, -2*r4, -r4, -r4, -r4], True)
([0, 8], [7*r4, 5*r4, 5*r4, 5*r4, 4*r4, 6*r4, 5*r4, 4*r4, 7*r4, 4*r4], True)
Distances: 
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 4, 7, 9], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 5, 6, 8], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [2, 3], abs(g3))
([1, 4, 7, 9], [7, 9], abs(-r4))
([1, 4, 7, 9], [1, 4], abs(-r4))
([0, 5, 6, 8], [5, 6], abs(-r4))
([0, 5, 6, 8], [0, 8], abs(-r4))
Parameters:
g3: Cross97 - Yoshida38