Identifier
Identifier
Values
['A',1] generating graphics... => 1
['A',2] generating graphics... => 1
['B',2] generating graphics... => 2
['G',2] generating graphics... => 3
['A',3] generating graphics... => 1
['B',3] generating graphics... => 2
['C',3] generating graphics... => 2
['A',4] generating graphics... => 1
['B',4] generating graphics... => 2
['C',4] generating graphics... => 2
['D',4] generating graphics... => 2
['F',4] generating graphics... => 4
['A',5] generating graphics... => 1
['B',5] generating graphics... => 2
['C',5] generating graphics... => 2
['D',5] generating graphics... => 2
['A',6] generating graphics... => 1
['B',6] generating graphics... => 2
['C',6] generating graphics... => 2
['D',6] generating graphics... => 2
['E',6] generating graphics... => 3
['A',7] generating graphics... => 1
['B',7] generating graphics... => 2
['C',7] generating graphics... => 2
['D',7] generating graphics... => 2
['E',7] generating graphics... => 4
['A',8] generating graphics... => 1
['B',8] generating graphics... => 2
['C',8] generating graphics... => 2
['D',8] generating graphics... => 2
['E',8] generating graphics... => 6
click to show generating function       
Description
The largest coefficient in the highest root in the root system of a Cartan type.
References
[1] Hopkins, S. How big can the index inside the root lattice of the lattice generated by a subset of roots be? MathOverflow:310884
Code
def statistic(C):
    return max(C.root_system().root_space().highest_root().coefficients())

Created
Mar 17, 2019 at 09:29 by Martin Rubey
Updated
Mar 17, 2019 at 09:29 by Martin Rubey