%id
kmE6_5
%name
Kac Moody E6 level 5
%conjugate
kmE6_5-
%central_charge
118/17
%discriminant
Root[-744061 + 2690647*#1 - 1435647*#1^2 + 8*#1^3 & , 3, 0]
%simple
%%number
78
%%weights
0, 1/3, 1/3, 12/17, 2/51, 2/51, 9/17, 44/51, 44/51, 3/17, 26/51, 26/51, 16/17, 14/51, 14/51, 14/17, 8/51, 8/51, 13/17, 5/51, 5/51, 10/17, 47/51, 47/51, 13/17, 5/51, 5/51, 11/17, 50/51, 50/51, 3/17, 26/51, 26/51, 11/17, 50/51, 50/51, 8/17, 41/51, 41/51, 10/17, 47/51, 47/51, 8/17, 41/51, 41/51, 16/17, 14/51, 14/51, 14/17, 8/51, 8/51, 7/17, 38/51, 38/51, 5/17, 32/51, 32/51, 12/17, 2/51, 2/51, 4/17, 29/51, 29/51, 2/17, 23/51, 23/51, 4/17, 29/51, 29/51, 1/17, 20/51, 20/51, 15/17, 11/51, 11/51, 6/17, 35/51, 35/51
%%qdims
1.000000000000000, 1.000000000000000, 1.000000000000000, 10.24986638190628, 10.24986638190628, 10.24986638190628, 21.62870369197775, 21.62870369197775, 21.62870369197775, 6.418975723729733, 6.418975723729733, 6.418975723729733, 39.01871262290489, 39.01871262290489, 39.01871262290489, 36.26229145254311, 36.26229145254311, 36.26229145254311, 14.42831848780683, 14.42831848780683, 14.42831848780683, 48.23332465974053, 48.23332465974053, 48.23332465974053, 14.42831848780683, 14.42831848780683, 14.42831848780683, 20.35595513029495, 20.35595513029495, 20.35595513029495, 6.418975723729719, 6.418975723729719, 6.418975723729719, 20.35595513029496, 20.35595513029496, 20.35595513029496, 63.55311985910041, 63.55311985910041, 63.55311985910041, 48.23332465974049, 48.23332465974049, 48.23332465974049, 63.55311985910042, 63.55311985910042, 63.55311985910042, 39.01871262290490, 39.01871262290490, 39.01871262290490, 36.26229145254309, 36.26229145254309, 36.26229145254309, 42.22780781312254, 42.22780781312254, 42.22780781312254, 49.41786137866710, 49.41786137866710, 49.41786137866710, 83.26074726869212, 83.26074726869212, 83.26074726869212, 64.87073833776496, 64.87073833776496, 64.87073833776496, 84.71803254930150, 84.71803254930150, 84.71803254930150, 64.87073833776496, 64.87073833776496, 64.87073833776496, 29.95338295992525, 29.95338295992525, 29.95338295992525, 98.16708359094025, 98.16708359094025, 98.16708359094025, 47.17733776083793, 47.17733776083793, 47.17733776083793
%properties
unitary
%source
created by script "make-kacmoody-mtc.m" using Schelleken's program "Kac"
