Non generic trees associated to Extremal G6:

Leaf labels:
{0: F16, 1: E1, 2: E3, 3: F56, 4: E5, 5: E2, 6: F26, 7: E4, 8: F46, 9: F36}

Cone a
Leaves and Vertices:
([0], [+Infinity, 0, 0, 0, 0, 0, r1, 0, 0, 0], False)
([1], [0, +Infinity, 0, 0, 0, r1, 0, 0, 0, 0], False)
([2], [r1, r1, +Infinity, r1, r1, r1, r1, r1, r1, g4 + r1], False)
([3], [r1, r1, r1, +Infinity, g2 + r1, r1, r1, r1, r1, r1], False)
([4], [r1, r1, r1, g2 + r1, +Infinity, r1, r1, r1, r1, r1], False)
([5], [0, r1, 0, 0, 0, +Infinity, 0, 0, 0, 0], False)
([6], [2*r1, r1, r1, r1, r1, r1, +Infinity, r1, r1, r1], False)
([7], [r1, r1, r1, r1, r1, r1, r1, +Infinity, g3 + r1, r1], False)
([8], [r1, r1, r1, r1, r1, r1, r1, g3 + r1, +Infinity, r1], False)
([9], [r1, r1, g4 + r1, r1, r1, r1, r1, r1, r1, +Infinity], False)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], True)
([7, 8], [r1, r1, r1, r1, r1, r1, r1, g3 + r1, g3 + r1, r1], True)
([3, 4], [r1, r1, r1, g2 + r1, g2 + r1, r1, r1, r1, r1, r1], True)
([2, 9], [r1, r1, g4 + r1, r1, r1, r1, r1, r1, r1, g4 + r1], True)
([1, 5], [0, r1, 0, 0, 0, r1, 0, 0, 0, 0], True)
([0, 6], [r1, 0, 0, 0, 0, 0, r1, 0, 0, 0], True)
Distances: 
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [7, 8], abs(g3))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [3, 4], abs(g2))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [2, 9], abs(g4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 5], abs(r1))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 6], abs(r1))
Parameters:
g4: Cross99 - Yoshida39
g3: Cross73 - Yoshida39
g2: Cross66 - Yoshida38


Cone aa4
Leaves and Vertices:
([0], [+Infinity, -r4, -r4, -2*r4, -r4, 0, r1, -r4, -2*r4, -2*r4], False)
([1], [4*r4, +Infinity, 3*r4, 3*r4, 2*r4, r1 + 6*r4, 2*r4, 2*r4, 3*r4, 2*r4], False)
([2], [r1 + 6*r4, r1 + 5*r4, +Infinity, r1 + 4*r4, r1 + 4*r4, r1 + 6*r4, r1 + 4*r4, r1 + 4*r4, r1 + 4*r4, g4 + r1 + 4*r4], False)
([3], [r1 + 4*r4, r1 + 4*r4, r1 + 3*r4, +Infinity, r1 + 2*r4, r1 + 5*r4, r1 + 2*r4, r1 + 2*r4, r1 + 4*r4, r1 + 2*r4], False)
([4], [r1 + 5*r4, r1 + 3*r4, r1 + 3*r4, r1 + 2*r4, +Infinity, r1 + 4*r4, r1 + 3*r4, r1 + 4*r4, r1 + 2*r4, r1 + 2*r4], False)
([5], [4*r4, r1 + 5*r4, 3*r4, 3*r4, 2*r4, +Infinity, 2*r4, 2*r4, 3*r4, 2*r4], False)
([6], [2*r1 + 6*r4, r1 + 3*r4, r1 + 3*r4, r1 + 2*r4, r1 + 3*r4, r1 + 4*r4, +Infinity, r1 + 3*r4, r1 + 2*r4, r1 + 2*r4], False)
([7], [r1 + 5*r4, r1 + 3*r4, r1 + 3*r4, r1 + 2*r4, r1 + 4*r4, r1 + 4*r4, r1 + 3*r4, +Infinity, r1 + 2*r4, r1 + 2*r4], False)
([8], [r1 + 4*r4, r1 + 4*r4, r1 + 3*r4, r1 + 4*r4, r1 + 2*r4, r1 + 5*r4, r1 + 2*r4, r1 + 2*r4, +Infinity, r1 + 2*r4], False)
([9], [r1 + 5*r4, r1 + 4*r4, g4 + r1 + 4*r4, r1 + 3*r4, r1 + 3*r4, r1 + 5*r4, r1 + 3*r4, r1 + 3*r4, r1 + 3*r4, +Infinity], False)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [r1 + 6*r4, r1 + 5*r4, r1 + 5*r4, r1 + 4*r4, r1 + 4*r4, r1 + 6*r4, r1 + 4*r4, r1 + 4*r4, r1 + 4*r4, r1 + 4*r4], True)
([1, 3, 5, 8], [4*r4, 4*r4, 3*r4, 3*r4, 2*r4, 5*r4, 2*r4, 2*r4, 3*r4, 2*r4], True)
([0, 4, 6, 7], [r4, -r4, -r4, -2*r4, -r4, 0, -r4, -r4, -2*r4, -2*r4], True)
([4, 7], [r1 + 5*r4, r1 + 3*r4, r1 + 3*r4, r1 + 2*r4, r1 + 4*r4, r1 + 4*r4, r1 + 3*r4, r1 + 4*r4, r1 + 2*r4, r1 + 2*r4], True)
([3, 8], [r1 + 4*r4, r1 + 4*r4, r1 + 3*r4, r1 + 4*r4, r1 + 2*r4, r1 + 5*r4, r1 + 2*r4, r1 + 2*r4, r1 + 4*r4, r1 + 2*r4], True)
([2, 9], [r1 + 6*r4, r1 + 5*r4, g4 + r1 + 5*r4, r1 + 4*r4, r1 + 4*r4, r1 + 6*r4, r1 + 4*r4, r1 + 4*r4, r1 + 4*r4, g4 + r1 + 4*r4], True)
([1, 5], [4*r4, r1 + 5*r4, 3*r4, 3*r4, 2*r4, r1 + 6*r4, 2*r4, 2*r4, 3*r4, 2*r4], True)
([0, 6], [r1 + 2*r4, -r4, -r4, -2*r4, -r4, 0, r1, -r4, -2*r4, -2*r4], True)
Distances: 
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 3, 5, 8], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 4, 6, 7], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [2, 9], abs(g4))
([1, 3, 5, 8], [3, 8], abs(-r4))
([1, 3, 5, 8], [1, 5], abs(-r1 - r4))
([0, 4, 6, 7], [4, 7], abs(-r4))
([0, 4, 6, 7], [0, 6], abs(-r1 - r4))
Parameters:
g4: Cross99 - Yoshida39


Cone ab
Leaves and Vertices:
([0], [+Infinity, 0, 0, r4, 0, 0, r1 + r4, 0, r4, r4], False)
([1], [2*r4, +Infinity, 2*r4, 2*r4, r4, r1 + 2*r4, r4, r4, 2*r4, r4], False)
([2], [r1 + 2*r4, r1 + 2*r4, +Infinity, r1 + 2*r4, r1 + r4, r1 + 2*r4, r1 + r4, r1 + r4, r1 + 2*r4, r1 + r4], False)
([3], [r1 + r4, r1, r1, +Infinity, g2 + r1, r1, r1, r1, r1 + r4, r1], False)
([4], [r1 + r4, r1, r1, g2 + r1 + r4, +Infinity, r1, r1, r1, r1 + r4, r1], False)
([5], [2*r4, r1 + 2*r4, 2*r4, 2*r4, r4, +Infinity, r4, r4, 2*r4, r4], False)
([6], [2*r1 + 2*r4, r1, r1, r1 + r4, r1, r1, +Infinity, r1, r1 + r4, r1 + r4], False)
([7], [r1 + r4, r1, r1, r1 + r4, r1, r1, r1, +Infinity, g3 + r1 + r4, r1], False)
([8], [r1 + r4, r1, r1, r1 + r4, r1, r1, r1, g3 + r1, +Infinity, r1], False)
([9], [r1 + 4*r4, r1 + 2*r4, r1 + 2*r4, r1 + 3*r4, r1 + 2*r4, r1 + 2*r4, r1 + 3*r4, r1 + 2*r4, r1 + 3*r4, +Infinity], False)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [r1 + 2*r4, r1 + r4, r1 + r4, r1 + 2*r4, r1 + r4, r1 + r4, r1 + r4, r1 + r4, r1 + 2*r4, r1 + r4], True)
([0, 6, 9], [r1 + 4*r4, r1 + 2*r4, r1 + 2*r4, r1 + 3*r4, r1 + 2*r4, r1 + 2*r4, r1 + 3*r4, r1 + 2*r4, r1 + 3*r4, r1 + 3*r4], True)
([7, 8], [r1 + r4, r1, r1, r1 + r4, r1, r1, r1, g3 + r1, g3 + r1 + r4, r1], True)
([3, 4], [r1 + r4, r1, r1, g2 + r1 + r4, g2 + r1, r1, r1, r1, r1 + r4, r1], True)
([1, 2, 5], [r1 + 2*r4, r1 + 2*r4, r1 + 2*r4, r1 + 2*r4, r1 + r4, r1 + 2*r4, r1 + r4, r1 + r4, r1 + 2*r4, r1 + r4], True)
([1, 5], [2*r4, r1 + 2*r4, 2*r4, 2*r4, r4, r1 + 2*r4, r4, r4, 2*r4, r4], True)
([0, 6], [r1 + 2*r4, 0, 0, r4, 0, 0, r1 + r4, 0, r4, r4], True)
Distances: 
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 6, 9], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [7, 8], abs(g3))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [3, 4], abs(g2))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 2, 5], abs(r4))
([0, 6, 9], [0, 6], abs(-r1))
([1, 2, 5], [1, 5], abs(-r1))
Parameters:
g3: Cross73 - Yoshida39
g2: Cross66 - Yoshida38


Cone b
Leaves and Vertices:
([0], [+Infinity, 0, 0, r4, 0, 0, r4, 0, r4, r4], False)
([1], [2*r4, +Infinity, 2*r4, 2*r4, r4, 2*r4, r4, r4, 2*r4, r4], False)
([2], [2*r4, 2*r4, +Infinity, 2*r4, r4, 2*r4, r4, r4, 2*r4, r4], False)
([3], [r4, 0, 0, +Infinity, g2, 0, 0, 0, r4, 0], False)
([4], [r4, 0, 0, g2 + r4, +Infinity, 0, 0, 0, r4, 0], False)
([5], [2*r4, 2*r4, 2*r4, 2*r4, r4, +Infinity, r4, r4, 2*r4, r4], False)
([6], [2*r4, 0, 0, r4, 0, 0, +Infinity, 0, r4, r4], False)
([7], [r4, 0, 0, r4, 0, 0, 0, +Infinity, g3 + r4, 0], False)
([8], [r4, 0, 0, r4, 0, 0, 0, g3, +Infinity, 0], False)
([9], [4*r4, 2*r4, 2*r4, 3*r4, 2*r4, 2*r4, 3*r4, 2*r4, 3*r4, +Infinity], False)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [r4, 0, 0, r4, 0, 0, 0, 0, r4, 0], True)
([7, 8], [r4, 0, 0, r4, 0, 0, 0, g3, g3 + r4, 0], True)
([3, 4], [r4, 0, 0, g2 + r4, g2, 0, 0, 0, r4, 0], True)
([1, 2, 5], [2*r4, 2*r4, 2*r4, 2*r4, r4, 2*r4, r4, r4, 2*r4, r4], True)
([0, 6, 9], [2*r4, 0, 0, r4, 0, 0, r4, 0, r4, r4], True)
Distances: 
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [7, 8], abs(g3))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [3, 4], abs(g2))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 2, 5], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 6, 9], abs(r4))
Parameters:
g3: Cross73 - Yoshida39
g2: Cross66 - Yoshida38


Cone a4
Leaves and Vertices:
([0], [+Infinity, -r4, -r4, -2*r4, -r4, 0, 0, -r4, -2*r4, -2*r4], False)
([1], [4*r4, +Infinity, 3*r4, 3*r4, 2*r4, 6*r4, 2*r4, 2*r4, 3*r4, 2*r4], False)
([2], [6*r4, 5*r4, +Infinity, 4*r4, 4*r4, 6*r4, 4*r4, 4*r4, 4*r4, g4 + 4*r4], False)
([3], [4*r4, 4*r4, 3*r4, +Infinity, 2*r4, 5*r4, 2*r4, 2*r4, 4*r4, 2*r4], False)
([4], [5*r4, 3*r4, 3*r4, 2*r4, +Infinity, 4*r4, 3*r4, 4*r4, 2*r4, 2*r4], False)
([5], [4*r4, 5*r4, 3*r4, 3*r4, 2*r4, +Infinity, 2*r4, 2*r4, 3*r4, 2*r4], False)
([6], [6*r4, 3*r4, 3*r4, 2*r4, 3*r4, 4*r4, +Infinity, 3*r4, 2*r4, 2*r4], False)
([7], [5*r4, 3*r4, 3*r4, 2*r4, 4*r4, 4*r4, 3*r4, +Infinity, 2*r4, 2*r4], False)
([8], [4*r4, 4*r4, 3*r4, 4*r4, 2*r4, 5*r4, 2*r4, 2*r4, +Infinity, 2*r4], False)
([9], [5*r4, 4*r4, g4 + 4*r4, 3*r4, 3*r4, 5*r4, 3*r4, 3*r4, 3*r4, +Infinity], False)
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [6*r4, 5*r4, 5*r4, 4*r4, 4*r4, 6*r4, 4*r4, 4*r4, 4*r4, 4*r4], True)
([1, 3, 5, 8], [4*r4, 4*r4, 3*r4, 3*r4, 2*r4, 5*r4, 2*r4, 2*r4, 3*r4, 2*r4], True)
([0, 4, 6, 7], [r4, -r4, -r4, -2*r4, -r4, 0, -r4, -r4, -2*r4, -2*r4], True)
([4, 7], [5*r4, 3*r4, 3*r4, 2*r4, 4*r4, 4*r4, 3*r4, 4*r4, 2*r4, 2*r4], True)
([3, 8], [4*r4, 4*r4, 3*r4, 4*r4, 2*r4, 5*r4, 2*r4, 2*r4, 4*r4, 2*r4], True)
([2, 9], [6*r4, 5*r4, g4 + 5*r4, 4*r4, 4*r4, 6*r4, 4*r4, 4*r4, 4*r4, g4 + 4*r4], True)
([1, 5], [4*r4, 5*r4, 3*r4, 3*r4, 2*r4, 6*r4, 2*r4, 2*r4, 3*r4, 2*r4], True)
([0, 6], [2*r4, -r4, -r4, -2*r4, -r4, 0, 0, -r4, -2*r4, -2*r4], True)
Distances: 
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 3, 5, 8], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [0, 4, 6, 7], abs(r4))
([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [2, 9], abs(g4))
([1, 3, 5, 8], [3, 8], abs(-r4))
([1, 3, 5, 8], [1, 5], abs(-r4))
([0, 4, 6, 7], [4, 7], abs(-r4))
([0, 4, 6, 7], [0, 6], abs(-r4))
Parameters:
g4: Cross99 - Yoshida39